Question: 'Let c(s) = 2*s**3 + 2*s**2 - 2*s - 4. Let a be c(-2). Find the common denominator of -19/16 and (6/(-27))/(a/(-285)).\n'

Answer: '48\n'


Question: 'Let x = 1550 - 1528. Suppose -c + 3*v = 0, 4*c = c - 2*v + 44. Calculate the lowest common multiple of x and c.\n'

Answer: '132\n'


Question: 'Let z = 142 - 255. Let a = 123 + z. What is the smallest common multiple of 12 and a?\n'

Answer: '60\n'


Question: 'Let h = -128041/119 - -2994/17. Let i = 908 + h. Find the common denominator of -64/9 and i.\n'

Answer: '63\n'


Question: 'Let c(x) = 3*x**2 + 6*x - 8. Let d be c(-4). What is the least common multiple of 8/d*1*36 and 2?\n'

Answer: '18\n'


Question: 'Suppose -6*s + 13*s - 63 = 0. Calculate the lowest common multiple of s/6 + 10/4 and 106.\n'

Answer: '212\n'


Question: 'Let y(k) = k**2 + 4*k - 10. Suppose -35 = -z + 6*z. Calculate the lowest common multiple of y(z) and 7.\n'

Answer: '77\n'


Question: 'Calculate the common denominator of 38/(-14) + 3 + (-4105)/(-210) and 91/242.\n'

Answer: '726\n'


Question: 'Let z(w) = -w + 73. Calculate the smallest common multiple of 36 and z(25).\n'

Answer: '144\n'


Question: 'Suppose -10363 - 22421 = 3*l. Let q be (-103848)/l*(-6)/8. Let t = q - -3/1366. Calculate the common denominator of t and 5/2.\n'

Answer: '8\n'


Question: 'Suppose 3*g - 3 - 69 = 0. Suppose 7*f - 18 - g = 0. Suppose f*a - 8*a + 28 = 0. What is the least common multiple of 10 and a?\n'

Answer: '70\n'


Question: 'Let k = 2764123/72 - 38390. Calculate the common denominator of k and 91/20.\n'

Answer: '360\n'


Question: 'Let d = 5/201 + -4271/2010. Let k = -39 - -55. Calculate the common denominator of d and (-1)/2*(k + 3).\n'

Answer: '10\n'


Question: 'Suppose -3*x + j = -2*j + 264, 4*x + j = -372. Let l = x - -116. What is the smallest common multiple of 27 and l?\n'

Answer: '216\n'


Question: 'Let c be (-14)/(-91) - 784/26. What is the smallest common multiple of 10 and 1 + (c/(-3) - 3)?\n'

Answer: '40\n'


Question: 'Let h = 10 - 5. Suppose 2*n + 0*l - 15 = 3*l, 0 = 5*l + 25. Suppose -h*c = 2*a - 2*c - 31, -4*a + 2*c + 38 = n. What is the lowest common multiple of a and 10?\n'

Answer: '110\n'


Question: 'Let v = 139 - 103. What is the smallest common multiple of 52 and v?\n'

Answer: '468\n'


Question: 'Suppose 40 = 4*s + 4*c, -c + 6*c = 0. Suppose 3*v = -5*h + 331, h - 50 = -2*v + 19. Let u = 109 - h. Calculate the smallest common multiple of s and u.\n'

Answer: '220\n'


Question: 'Let s = -514953/100 - -5150. Find the common denominator of 109/120 and s.\n'

Answer: '600\n'


Question: 'Let y(d) = 7*d + 20. Let a be y(-5). Let k = a - -21. Calculate the least common multiple of k and 3.\n'

Answer: '6\n'


Question: 'Let b = 51991/12 - 4329. What is the common denominator of 1052/360 + (-4)/18 and b?\n'

Answer: '60\n'


Question: 'Suppose -5*h = 11*h - 336. What is the lowest common multiple of 27 and h?\n'

Answer: '189\n'


Question: 'Let t = 61/14179 + -3131164/42537. Let u = t - -217/3. Let j = -10/663 + 53743/2652. What is the common denominator of u and j?\n'

Answer: '44\n'


Question: 'Let h = 3043/6 - 490. Let b be -3 - ((-2512)/156 + (-4)/2). Let t = b - 10/13. Calculate the common denominator of h and t.\n'

Answer: '6\n'


Question: 'Let v(s) = 208802*s + 7. Let w be v(-6). Let j = w + 7496365/6. Let h = j - -3420. Calculate the common denominator of 75/16 and h.\n'

Answer: '48\n'


Question: 'Suppose 0 = 5*y - 480 - 180. Let w = y - 252. Calculate the common denominator of -81/20 and 14*(-3)/w*6.\n'

Answer: '20\n'


Question: 'Let z be 12*32/12 - 5. Suppose -3*n + 69 = -z. What is the smallest common multiple of 12 and n?\n'

Answer: '96\n'


Question: 'Let v(w) = w**3 - 50*w**2 - 53*w + 89. Suppose -3*o + 6 = -15. Find the common denominator of v(51) and 230/12 + o/14.\n'

Answer: '3\n'


Question: 'Let i(h) = -h**2 + 11*h - 20. Let v be i(8). Calculate the lowest common multiple of 10 and v/(((-3)/6)/(-1)).\n'

Answer: '40\n'


Question: 'Find the common denominator of 2 - -1 - (-10875)/(-4410) and 33/8.\n'

Answer: '1176\n'


Question: 'Let l = 7 + -6. Suppose -3*x = -l - 80. Calculate the common denominator of (36/x)/((-19)/24) and -85/2.\n'

Answer: '38\n'


Question: 'Let i(q) = q**2 - 7*q + 8. Let x be i(7). Let g = -4 + x. Suppose -2*w + 0*n + 4*n + g = 0, 3*n = -5*w + 49. What is the smallest common multiple of w and 2?\n'

Answer: '8\n'


Question: 'Let w = 1297 - 920. What is the least common multiple of w and 7?\n'

Answer: '2639\n'


Question: 'Suppose 6*n = -1 - 11. Find the common denominator of 64/9 and 30/(-24)*n/(-10).\n'

Answer: '36\n'


Question: 'Let f be ((-12)/20)/(1/15). Let g(p) = -7*p + 14. Let u(t) = -4*t + 7. Let j(n) = 3*g(n) - 5*u(n). Calculate the least common multiple of 18 and j(f).\n'

Answer: '144\n'


Question: 'Suppose 4*w - 9 = 3*y - 29, -2*y = -3*w - 12. Suppose h = z + 4, -4*z = 4*h - 11 - 21. Calculate the least common multiple of h and y.\n'

Answer: '12\n'


Question: 'Find the common denominator of (7 - 149)*3/(-324)*1 and -67/36.\n'

Answer: '108\n'


Question: 'Let c = 22411/2145 + -394/39. Let g = c + -731/1320. Let y = -12219/14 + 874. What is the common denominator of y and g?\n'

Answer: '168\n'


Question: 'Let n(k) = -2*k**2 - 6*k + 1. Let j be n(-3). What is the least common multiple of ((-12)/(-10))/(4/10) and (j + 48/(-15))*-5?\n'

Answer: '33\n'


Question: 'Find the common denominator of (-12)/(-140)*7 - 231/(-40) and (-89)/12 + (8 - 6).\n'

Answer: '24\n'


Question: 'Let b be 1/(-3) - (-1230)/18. Suppose 1 + b = 3*n. Let o = n + -3. What is the smallest common multiple of 22 and o?\n'

Answer: '220\n'


Question: 'Suppose 39053 + 25081 = 42*d. Calculate the lowest common multiple of 3 and d.\n'

Answer: '1527\n'


Question: 'Suppose 3*l - 2 - 34 = -5*k, k - 4 = l. Let d be 1/(30/40 + 2/(-4)). Calculate the least common multiple of k and d/10 - 8/20*-44.\n'

Answer: '18\n'


Question: 'Calculate the smallest common multiple of 70 and -16 + 1386/15 - (-3)/5.\n'

Answer: '770\n'


Question: 'Let b(a) = a**2 + 9*a - 2. Let l be b(-7). Let j = l - -18. Suppose z - j*h = -h + 6, -z + 10 = h. What is the lowest common multiple of 6 and z?\n'

Answer: '24\n'


Question: 'Let f = -4297/9 + 81538/171. Calculate the common denominator of f and 1/36.\n'

Answer: '684\n'


Question: 'Let f = -197/56 - -65/14. Let x = -8279 + 82859/10. Calculate the common denominator of f and x.\n'

Answer: '40\n'


Question: 'Suppose -4*m = 4*f + 93 - 333, -2*m + 120 = -3*f. Calculate the lowest common multiple of 18 and m.\n'

Answer: '180\n'


Question: 'Suppose 0 = -a + 54 - 18. Find the common denominator of 2*(-1)/a*-35 and 8/27.\n'

Answer: '54\n'


Question: 'Suppose -5*c + 4*p + 12 = -4*c, 0 = c + 4*p - 4. Calculate the smallest common multiple of 16 and c.\n'

Answer: '16\n'


Question: 'Let c = 355/234 - 34627/234. Let s = -974020577/78 + 12487276. Let q = s - c. Calculate the common denominator of 43/20 and q.\n'

Answer: '60\n'


Question: 'Let o(p) = 4*p**2 - 5*p + 3. Let w be (-1)/(1/(-2) + (-3 - -3)). What is the lowest common multiple of 10 and o(w)?\n'

Answer: '90\n'


Question: 'Let v be (1 - (-3010)/(-3005))/4. Let j = 20445/26444 + v. What is the common denominator of 123/20 and j?\n'

Answer: '220\n'


Question: 'Let a = 1/199 - -337/51740. Find the common denominator of a and -99/10.\n'

Answer: '260\n'


Question: 'Suppose 4*i = 2*i - 40. Calculate the smallest common multiple of (-2)/(-4*(-2)/i) and 3.\n'

Answer: '15\n'


Question: 'Let z(w) = -4*w - 3. Let h be z(2). Let j = -6 - h. Suppose -f + 66 = j*f. Calculate the least common multiple of f and 11.\n'

Answer: '11\n'


Question: 'Let c = -10867/24 - -3663/8. Suppose f - 5*f - 24 = 0. What is the common denominator of f/33 - (-747)/660 and c?\n'

Answer: '60\n'


Question: 'Let i = -130 + 90. Calculate the common denominator of (-115)/(-14) + -1 + 0 and 6/i*(-3 + (8 - 11)).\n'

Answer: '70\n'


Question: 'Suppose 0 = -4*z - 2*f + 416, -4*f - 32 = 3*z - 344. What is the lowest common multiple of 130 and z?\n'

Answer: '520\n'


Question: 'Let w = 639217 - 4489673/7. Let f = -2159 - w. Calculate the common denominator of f and 152/(-18) - 1/(-3).\n'

Answer: '63\n'


Question: 'Let x be (6/405)/(18476/(-4389088088998608243)). Let p = x + 3519350900863. Let d = p - -2/23095. Calculate the common denominator of 107/24 and d.\n'

Answer: '72\n'


Question: 'Let g(b) = -b**2 - 4*b + 2. Let h(u) = -u**2 - 3*u + 3. Let c(v) = 2*g(v) - 3*h(v). What is the least common multiple of c(2) and 4?\n'

Answer: '4\n'


Question: 'Let k(t) = 3*t + 80. Calculate the smallest common multiple of 8 and k(12).\n'

Answer: '232\n'


Question: 'Let g be (-390750)/(-198) + 4/(-6). Let y = -1971 + g. Calculate the common denominator of y and 10/(-4) + 6/24.\n'

Answer: '44\n'


Question: 'Let z(o) = -o**2 - 20*o + 1. Let w be z(-20). Let s(f) = 14*f**2 - f + 1. Calculate the least common multiple of s(w) and ((-2)/6)/((-10)/600).\n'

Answer: '140\n'


Question: 'Let k = -4711/1640 + 459/82. Find the common denominator of k and -1*((-46)/20 - 3).\n'

Answer: '40\n'


Question: 'Let l = 38 - 22. Suppose l*o - 11*o = 55. What is the least common multiple of (0 - -1) + 54/9 and o?\n'

Answer: '77\n'


Question: 'Let z = 58 - 53. What is the lowest common multiple of z and (2/(-6))/(3/(-63))?\n'

Answer: '35\n'


Question: 'Suppose a = -s - 185, 2*s = a - 2*s + 170. What is the common denominator of a/80 + 2/(-4) and 59/32?\n'

Answer: '160\n'


Question: 'Let u = 898 - 688. Calculate the smallest common multiple of 105 and u.\n'

Answer: '210\n'


Question: 'Let a = 596/35 + -12091/560. Let b be ((-1)/22)/(125/(-120)). Let j = 1681/550 + b. Find the common denominator of j and a.\n'

Answer: '80\n'


Question: 'Find the common denominator of -6 - (-30)/140*(-161)/(-18) and -67/636.\n'

Answer: '636\n'


Question: 'Suppose -94*x + 27720 = -74*x. What is the least common multiple of x and 18?\n'

Answer: '1386\n'


Question: 'Let n(y) = y**2 + 7*y + 22. What is the lowest common multiple of n(7) and 5?\n'

Answer: '120\n'


Question: 'Suppose 4*f - 4 = -2*h, 4*h - 5 = -h - 5*f. Find the common denominator of (-58)/(-22) + 1 + -2 and (-249)/(-45) - h/(-3).\n'

Answer: '165\n'


Question: 'Let t = 3826481/162 - 23620. What is the common denominator of 131/36 and t?\n'

Answer: '324\n'


Question: 'Find the common denominator of -167/120 and (-5)/3 - 185/(-144).\n'

Answer: '720\n'


Question: 'Let b be -2 + 9 + 1 + (1 - 2). Suppose -b*k + 158 = 60. What is the least common multiple of 18 and k?\n'

Answer: '126\n'


Question: 'Let z = -94 + 34. Let y = 10425 + -354395/34. What is the common denominator of 166*(-1)/z*-3 and y?\n'

Answer: '170\n'


Question: 'Let b be 1689/7 + 4 - -1. Let t = b - 19356/77. Find the common denominator of t and 804/60 - 2/5.\n'

Answer: '11\n'


Question: 'Let r = -1020 - -1059. What is the least common multiple of 5 and r?\n'

Answer: '195\n'


Question: 'Let k = -227869/6260 + 1/1252. Let x = 69/10 + k. What is the common denominator of x and (-21)/(-11)*2/12?\n'

Answer: '22\n'


Question: 'Let b(m) = -2*m**3 - 2*m**2 - 4*m - 5. Let g be b(-2). Suppose -t - q + 5 = 0, -3*t + 3*q = -2*t + g. What is the lowest common multiple of 12 and 2/t*(-2 + 6)?\n'

Answer: '24\n'


Question: 'Let m(h) = -3*h - 4. Let s be m(-10). Let t = 37 - s. What is the smallest common multiple of t and 2?\n'

Answer: '22\n'


Question: 'Find the common denominator of 4 + 575/80 + -5 and -29/8.\n'

Answer: '16\n'


Question: 'Suppose 0*v + 5*v + 3*s - 57 = 0, -s = -3*v + 23. What is the smallest common multiple of 18 and v?\n'

Answer: '18\n'


Question: 'Let a = 632/35 + -218/15. Calculate the common denominator of 93/10 and a.\n'

Answer: '210\n'


Question: 'Let t(r) = r**2 - 8*r + 13. Let s(m) = 3 - 8*m - m + 5*m - 1. What is the smallest common multiple of s(-3) and t(9)?\n'

Answer: '154\n'


Question: 'Suppose -5*v = -2*v - 96. Suppose 4*f + 2*n + 2*n - v = 0, -4*n + 24 = 3*f. What is the lowest common multiple of f and 18?\n'

Answer: '72\n'


Question: 'Let o = 76 - 112. What is the least common multiple of 12 and 1056/o*(-6)/4?\n'

Answer: '132\n'


Question: 'Suppose -t + 2*c = -21 - 13, 5*t + 5*c - 215 = 0. Calculate the smallest common multiple of 16 and t.\n'

Answer: '80\n'


Question: 'Suppose -5*r = -3*m + 24 - 66, -12 = 3*m. Let o = 10 + -10. Suppose 10*v - 5*v - 50 = o. Calculate the least common multiple of v and r.\n'

Answer: '30\n'


Question: 'Let q(u) be the first derivative of 4*u**3/3 - 13*u**2/2 - 3*u + 15. Calculate the least common multiple of 9 and q(4).\n'

Answer: '9\n'


Question: 'Calculate the least common multiple of 7772/261 - (-4)/18 and 90.\n'

Answer: '90\n'


Question: 'Suppose 0 = -3*o - 5*g + 1459, 0 = 4*o + 35*g - 36*g - 1953. What is the least common multiple of o and 3?\n'

Answer: '1464\n'


Question: 'Let r be (-2 + (-14)/(-4))*(534 - -16). Calculate the common denominator of ((-6)/(-5) + -1)*r/(-18) and -151/6.\n'

Answer: '6\n'


Question: 'Let g(y) = 5*y**2 - 23*y + 21. Calculate the lowest common multiple of 55 and g(7).\n'

Answer: '1155\n'


Question: 'Let r(t) = 4*t**2 + 18*t - 44. Calculate the smallest common multiple of 10 and r(-14).\n'

Answer: '2440\n'


Question: 'Let o = -494 + 542. What is the lowest common multiple of 80 and o?\n'

Answer: '240\n'


Question: 'Let t(m) = 3*m - 7. Let w be t(6). Let s be (-2)/w - 9024/(-6798). Let a = s + 10957/1854. What is the common denominator of -83/12 and a?\n'

Answer: '36\n'


Question: 'Let w(s) = -s**2 + s + 44. Calculate the lowest common multiple of 10/12 - (-60187)/2598 and w(0).\n'

Answer: '264\n'


Question: 'Let s = -115733/15964921 + 15/2149. Let w = -319417/111435 + s. What is the common denominator of -52/9 and w?\n'

Answer: '45\n'


Question: 'Let r be 1*-6 + (14 - 11). Let z = 5 + r. What is the least common multiple of 1 and z?\n'

Answer: '2\n'


Question: 'Let y(q) = 1574*q + 5. Let h be y(1). Let t = 15873/10 - h. What is the common denominator of -143/12 and t?\n'

Answer: '60\n'


Question: 'Let h be (2 + -1)*59 - 4. Suppose -l - 10 + h = 0. Suppose -2*g = 5*n - 48, -n + 5*g - l = -6*n. Calculate the smallest common multiple of 9 and n.\n'

Answer: '90\n'


Question: 'Let n(w) = -w**2 + 6*w + 2. Let j be n(3). Find the common denominator of (-1)/1 + (-35)/8 and 1 + 1/6*(-649)/j.\n'

Answer: '24\n'


Question: 'Let x = 120 - 72. What is the smallest common multiple of 6 and x?\n'

Answer: '48\n'


Question: 'Let z = -3831/866 - -19206849/2165. Let q = 8857 - z. Let n = -634 + 6259/10. Calculate the common denominator of n and q.\n'

Answer: '10\n'


Question: 'Let d = 55 + -88. Let c be (d/22)/(6/(-8)). Suppose -4*b = -c*b - 10. Calculate the smallest common multiple of 11 and b.\n'

Answer: '55\n'


Question: 'Let g(p) = -5*p**2 - 35*p + 12. Calculate the lowest common multiple of g(-7) and 60.\n'

Answer: '60\n'


Question: 'Let q be (-188)/(-10) + 4 + 168/(-35). What is the common denominator of 4/q - 143/36 and -103/26?\n'

Answer: '52\n'


Question: 'Suppose 4*b + 6 = x, b - 1 = -2*x - 2*b. Suppose -x*m = -11 + 5. Calculate the lowest common multiple of m and 7.\n'

Answer: '21\n'


Question: 'Let w = 10 - 21. Calculate the common denominator of (-8323)/5544 - 2/w and -17/20.\n'

Answer: '360\n'


Question: 'Let n(o) = o + 15. Suppose 2*d = -4 - 10. Suppose 9*a = 12*a + 12, 2*a + 24 = 2*s. What is the lowest common multiple of n(d) and s?\n'

Answer: '8\n'


Question: 'Let o = 736 + -732. What is the smallest common multiple of ((-40)/(-6))/((-2)/(-6)) and o?\n'

Answer: '20\n'


Question: 'Let n = 293 + 58. Suppose -5*y = -n - 17964. Calculate the common denominator of y/(-324) - (-2)/9 and -79/10.\n'

Answer: '60\n'


Question: 'Let m = 2 + 3. Let k(u) = -3*u + 16. Calculate the smallest common multiple of k(m) and 5/(5/4) + -3.\n'

Answer: '1\n'


Question: 'Let m = 20158 - 1451347/72. Find the common denominator of -71/84 and m.\n'

Answer: '504\n'


Question: 'Let j = -6551/10008 + 35/139. What is the common denominator of -71/3 and j?\n'

Answer: '72\n'


Question: 'Let n(l) = 5*l - 17. Suppose 0*q + 10 = q. What is the least common multiple of n(7) and q?\n'

Answer: '90\n'


Question: 'Calculate the common denominator of -71/16 and 349/112 - (15 - 120/10).\n'

Answer: '112\n'


Question: 'Let i = -74404 - -6547633/88. What is the common denominator of 3/110 and i?\n'

Answer: '440\n'


Question: 'Let w be (-6978830)/(-260)*(-2)/(-111). Let g = -16/481 - w. Let p = -489 - g. Find the common denominator of 20 and p.\n'

Answer: '3\n'


Question: 'Suppose w + 2*m + 0*m - 48 = 0, m = -3*w + 164. What is the lowest common multiple of w/30 + (-2)/30*-2 and 24?\n'

Answer: '24\n'


Question: 'Let n be 1/2 - 275354/18. Let r = -15290 - n. Find the common denominator of -85/2 and r.\n'

Answer: '18\n'


Question: 'Let y = 183 - 139. Let f be 2/(-9) + (-2090)/(-90). What is the least common multiple of f/2 - 6/(-12) and y?\n'

Answer: '132\n'


Question: 'Let p = -513 + 590. What is the lowest common multiple of 84 and p?\n'

Answer: '924\n'


Question: 'Let u = 119/16 + -137/20. Calculate the common denominator of 47/80 and u.\n'

Answer: '80\n'


Question: 'Suppose 0 = -2*o + 18 + 10. Let i = o - 8. Calculate the smallest common multiple of 14 and i.\n'

Answer: '42\n'


Question: 'Let v be ((-112)/(-120))/(18/20). Let t = -223/27 + v. Calculate the common denominator of t and 34/5.\n'

Answer: '45\n'


Question: 'Let r = -867578007709/3064 + 283152080. Let j = r - 33/383. Let y = 10055/4 - 2534. Find the common denominator of j and y.\n'

Answer: '8\n'


Question: 'Suppose h + 0*h - 6 = -3*z, 0 = 5*z - 5. Suppose h*y = 2*y + 3. Suppose 4*u = -u + 30. What is the lowest common multiple of u and y?\n'

Answer: '6\n'


Question: 'Suppose -5*g = -z - 3 + 7, 0 = -3*z - 4*g + 88. What is the least common multiple of z and 30?\n'

Answer: '120\n'


Question: 'Let j = 0 - -50. Suppose 0*n = -5*n + j. Let o(d) = 2*d - 5. What is the smallest common multiple of o(7) and n?\n'

Answer: '90\n'


Question: 'Suppose 0 = 9*n + 7*n - 1056. What is the smallest common multiple of 642 and n?\n'

Answer: '7062\n'


Question: 'Let v(u) = 1 - 15*u + 2 - 6 + 0. What is the smallest common multiple of v(-1) and 2?\n'

Answer: '12\n'


Question: 'Calculate the common denominator of (52/81952)/((-3)/44) and 5/22.\n'

Answer: '13002\n'


Question: 'Calculate the least common multiple of 10 + 4*8/16 and (10/(-25))/(2/(-90)).\n'

Answer: '36\n'


Question: 'Suppose -2*o - 2*u + 670 = 0, 28*o = 24*o + 4*u + 1300. Calculate the smallest common multiple of o and 88.\n'

Answer: '1320\n'


Question: 'Let j be (0 + 3)/((-30)/(-20)). Suppose j*w + 2 = w. What is the common denominator of 2/w*34/(-4) and 15/14?\n'

Answer: '14\n'


Question: 'Suppose -3*u = 3*r + r + 230, 3*r = -15. Let v = u - -92. Calculate the least common multiple of v and 22.\n'

Answer: '22\n'


Question: 'Let l be ((-246)/(-374) - 0) + -1. Let h = 1491611645411/3366 - 443140720. Let j = h + l. Find the common denominator of 133/12 and j.\n'

Answer: '36\n'


Question: 'Let z(n) = 14*n - 29. What is the smallest common multiple of z(4) and (1*9)/((-18)/(-24))?\n'

Answer: '108\n'


Question: 'Calculate the common denominator of 86/15 - 3/(-15) and 16/(-16) - (-172)/44.\n'

Answer: '165\n'


Question: 'Calculate the common denominator of 4/8 - (3902/732 - 5) and -139/30.\n'

Answer: '1830\n'


Question: 'Let w(a) = a**3 - 8*a**2 + 2. Let i = 10 - 8. Suppose 0*c - 4*c - 8 = y, i*c - 16 = -3*y. Calculate the least common multiple of w(y) and 30.\n'

Answer: '30\n'


Question: 'Let u(d) = d**2 + 3*d - 20. Let g = 7 - 16. What is the least common multiple of 8 and u(g)?\n'

Answer: '136\n'


Question: 'Let h(a) = -7*a + 5 + 4 + 6*a. Let b be h(9). Find the common denominator of -117/10 and b/10 + (-113)/6.\n'

Answer: '30\n'


Question: 'Let t be 4/(-26) + (-189)/39. What is the common denominator of (-3)/t + (-4077)/(-180) and 3/11*(-124)/(-8)?\n'

Answer: '44\n'


Question: 'Let i = -6388 - -153223/24. Calculate the common denominator of 125/24 and i.\n'

Answer: '24\n'


Question: 'Let r be -11 + 14 - (-707)/4. Let i(h) = 12*h**2 - 4*h - 3. Let w be i(-4). Let q = w - r. Calculate the common denominator of q and -59/10.\n'

Answer: '20\n'


Question: 'Calculate the common denominator of 3/36*-7*335/(-35) and 35/74.\n'

Answer: '444\n'


Question: 'Suppose 3 = -0*g + g, -4*m = -4*g - 60. What is the least common multiple of m and 42?\n'

Answer: '126\n'


Question: 'Let i(n) = -172*n**2 + 2*n - 1. Let o be i(-1). What is the common denominator of o/15 - 4 - (-3)/1 and 5/8?\n'

Answer: '24\n'


Question: 'Let i = -840251/200 - -65922/25. Suppose 16*j + 3134 = 18*j. Let u = j + i. What is the common denominator of u and 33/10?\n'

Answer: '40\n'


Question: 'Let k(w) = 62*w - 5 - 30*w - 28*w. Let x be k(2). Suppose 3*l = 2*d - x, d - 4*l - 6 = -17. What is the smallest common multiple of 2 and d?\n'

Answer: '18\n'


Question: 'Let c = 43 + -58. Let m = c - -25. What is the lowest common multiple of 5 and m?\n'

Answer: '10\n'


Question: 'Find the common denominator of (27/(-18))/((-497)/49) and -59/4.\n'

Answer: '284\n'


Question: 'Let y = -99709589277/1880 + 53037014. Let q = y + -24/235. Calculate the common denominator of 87/32 and q.\n'

Answer: '160\n'


Question: 'Find the common denominator of ((-1)/(-2))/((-250)/(-2475)) and 95/28.\n'

Answer: '140\n'


Question: 'Let z be 50/18 + 8/36. Calculate the least common multiple of 4 - -15 - (-1 + -2) and (2 + z - 3)*4.\n'

Answer: '88\n'


Question: 'Let d = -91562669/10 - -9145748. Let u = d - -10510. What is the common denominator of u and 56/3?\n'

Answer: '30\n'


Question: 'Let w(t) = -t**2 - 2*t - 56. Let k be w(0). Find the common denominator of ((-4)/10)/(k/350) and 77/4.\n'

Answer: '4\n'


Question: 'Suppose 6*p - 21 - 249 = 0. Calculate the lowest common multiple of p and 35.\n'

Answer: '315\n'


Question: 'Let o = -39 + 42. Suppose 3*w - o = -3*z, -2*z + 5 + 0 = -w. What is the smallest common multiple of 11 and z?\n'

Answer: '22\n'


Question: 'Suppose -43 - 110 = -3*c - 4*z, 5*z = 0. What is the smallest common multiple of 18 and c?\n'

Answer: '306\n'


Question: 'Suppose -5*v + 75 + 80 = 0. Let o = 19 - v. Find the common denominator of 21/4 and (-3)/o - (-95)/(-4).\n'

Answer: '4\n'


Question: 'Calculate the common denominator of 425/(-510)*303/(-80) and -131/18.\n'

Answer: '288\n'


Question: 'What is the smallest common multiple of ((-1 - 2) + 0)/(-1) and -1*(0 + 1 + -2)?\n'

Answer: '3\n'


Question: 'What is the common denominator of 11*7*((-4)/(-432) - 0) and 113/156?\n'

Answer: '1404\n'


Question: 'Let f = 4435/472 - -43/59. Calculate the common denominator of f and 17/24.\n'

Answer: '24\n'


Question: 'What is the common denominator of (-2)/4 + 7384/5104 + -1 and 13/8?\n'

Answer: '2552\n'


Question: 'Let d = -447659/30 - -44749/3. Find the common denominator of d and 119/12.\n'

Answer: '60\n'


Question: 'What is the common denominator of 30/5 - (-3)/(147/(-251)) and 23/56?\n'

Answer: '392\n'


Question: 'Let y be (8/1 - 2)*(-1)/3. Find the common denominator of (-59)/8 + y/(-8) and 119/10.\n'

Answer: '40\n'


Question: 'Let i = -221 - -225. What is the smallest common multiple of 8 and i?\n'

Answer: '8\n'


Question: 'Let s = 78 + -42. Suppose -2*u - 68 = -2*n + 174, u = 3*n - 127. What is the common denominator of -31/5 and 0 - 3/(s/u)?\n'

Answer: '30\n'


Question: 'Let z(a) = 24*a**2 + a + 1. Let f be z(-1). Let p = -204/29 - -1722/319. What is the common denominator of 122*((-100)/f + 4) and p?\n'

Answer: '33\n'


Question: 'Let a = 435 + -431. Let d(z) = -7*z. Let m be d(-1). Suppose 2*o - m = b, -b - 25 = -3*o - 2*o. Calculate the lowest common multiple of a and o.\n'

Answer: '12\n'


Question: 'Let v = 22867 - 457221/20. Find the common denominator of v and -145/12.\n'

Answer: '60\n'


Question: 'Let n(r) = r + 9. Let k be n(-9). Suppose 9*b - 7*b = k. Suppose -x = -b - 8. What is the smallest common multiple of 6 and x?\n'

Answer: '24\n'


Question: 'Let o = 1362 - 1326. What is the smallest common multiple of 30 and o?\n'

Answer: '180\n'


Question: 'Let o(i) = i**3 + 7*i**2 - 5*i - 28. Calculate the least common multiple of o(-7) and 146.\n'

Answer: '1022\n'


Question: 'Let v = -159/224 - -15/224. Calculate the common denominator of v and 71/(-48) + (-2)/6.\n'

Answer: '112\n'


Question: 'Let j = -16 + 26. Suppose -10*l - 63 = -9*l. What is the least common multiple of 18/l*(0 - 77) and j?\n'

Answer: '110\n'


Question: 'Let m = -20867/4 - -5192. Calculate the common denominator of m and 47/40.\n'

Answer: '40\n'


Question: 'Suppose 2*a - 30 = -240. Let n = 1901/18 + a. What is the common denominator of n and (-91)/(-10) - (-1 + -1)?\n'

Answer: '90\n'


Question: 'Let u be (16/(-6))/((-2)/3). Let w(g) = g**3 - 4*g**2 + g + 1. Let a be w(u). Suppose -6*m + a = -m. Calculate the lowest common multiple of m and 2.\n'

Answer: '2\n'


Question: 'Let o = -112 - -122. Suppose a + 21 = 2*a - 5*v, -4*v = 5*a - 18. Calculate the lowest common multiple of a and o.\n'

Answer: '30\n'


Question: 'Suppose -52 = -5*c - 177. Find the common denominator of c/(((-4)/(-2))/(-2)) and -23.\n'

Answer: '1\n'


Question: 'Suppose 0 = 460*h - 499*h + 546. Calculate the lowest common multiple of 1204 and h.\n'

Answer: '1204\n'


Question: 'Suppose 639 = 25*z - 161. What is the lowest common multiple of z and 56?\n'

Answer: '224\n'


Question: 'Find the common denominator of -2*(-2)/(-4) + 1075/(-172) and -29/2.\n'

Answer: '4\n'


Question: 'Let h = 317 + -544. Let j = h + 479/2. Find the common denominator of j and 89/10.\n'

Answer: '10\n'


Question: 'Let j = 5207/6288 - 15/262. Calculate the common denominator of j and -61/20.\n'

Answer: '240\n'


Question: 'Let o = 619 + -579. What is the smallest common multiple of 304 and o?\n'

Answer: '1520\n'


Question: 'Let d be (-16)/24 + 25/(-3). Let b = 14 + d. Calculate the common denominator of -5 + b - 88/10 and -81/4.\n'

Answer: '20\n'


Question: 'Let z = -22 + -2. Let n = -23 - z. What is the least common multiple of -1 + 1 - (-19 + n) and 32?\n'

Answer: '288\n'


Question: 'Let z = 3259 - 25981/8. Let l = -60/7 - -261/28. Let r = 65/4 - l. Calculate the common denominator of r and z.\n'

Answer: '8\n'


Question: 'Let i(a) = 268*a - 506. Suppose 5*o = 5*q + 165, -3*o + o + 3*q = -66. What is the least common multiple of i(2) and o?\n'

Answer: '330\n'


Question: 'Let q = 16 - 14. Suppose q*m - 18 = 3*k, m = 5*m + 5*k - 80. Suppose -a = -3*w + 2*w - 9, m = 5*a + 5*w. What is the lowest common multiple of 1 and a?\n'

Answer: '6\n'


Question: 'Let m = 375 + -351. Calculate the smallest common multiple of 42 and m.\n'

Answer: '168\n'


Question: 'Let h be 10/(-3)*12/(-10). Let u be h/3*(-3)/(-2). Suppose 6*x - 4 = u*x. What is the lowest common multiple of 1 and x?\n'

Answer: '1\n'


Question: 'What is the smallest common multiple of 11 + (5 - (-36)/(-6)) and 38?\n'

Answer: '190\n'


Question: 'Let v = -2 - 163. Let j be 3756/v + (-6)/(-15). Let t = j + 2207/110. Calculate the common denominator of t and 29/8.\n'

Answer: '40\n'


Question: 'Suppose 3*v = 6*u - 9*u + 48, 4*v = -16. What is the lowest common multiple of 160 and u?\n'

Answer: '160\n'


Question: 'Let p(w) = -4*w + 28. Let q be p(8). What is the common denominator of -69/16 and ((-84)/140)/(q/198*-3)?\n'

Answer: '80\n'


Question: 'Let h = -147 + 165. Let i(c) = 3*c**2 + 3*c + 2. Calculate the smallest common multiple of i(-3) and h.\n'

Answer: '180\n'


Question: 'Suppose -5*j = 0, -7 = -2*i + 2*j + 5. What is the lowest common multiple of i and 2?\n'

Answer: '6\n'


Question: 'Let d(n) = n**3 - 20*n**2 + 22*n + 20. What is the least common multiple of d(19) and 35?\n'

Answer: '385\n'


Question: 'Let x = -40 + 259/6. Let v = 13 - 5. Find the common denominator of x and (-2)/v + 494/72.\n'

Answer: '18\n'


Question: 'What is the common denominator of (-7)/(21/(-2)) - (-126)/(-20) and 53/3?\n'

Answer: '30\n'


Question: 'Suppose -19*a = -24*a + 510. Find the common denominator of 117/10 and (291/10)/(a/(-85)).\n'

Answer: '20\n'


Question: 'Let f = 7507/12 + -621. Calculate the common denominator of -139/6 and f.\n'

Answer: '12\n'


Question: 'Let a be 2 + (0/4 - 3). Let t(f) = -4*f + 7. What is the smallest common multiple of 23 and t(a)?\n'

Answer: '253\n'


Question: 'Let n be 964/22 - (-4)/22. Suppose -4*x + 2*x + n = 0. Let y = -12 + x. What is the least common multiple of y and 27?\n'

Answer: '270\n'


Question: 'Let h(l) = -l + 2. Let f be h(0). Suppose 3*i - f*i = m + 9, 5*i - 33 = -m. What is the smallest common multiple of i and 23?\n'

Answer: '161\n'


Question: 'Let s = -2951/36 - -644/9. What is the common denominator of ((-189)/486)/(2/(-15)) and s?\n'

Answer: '12\n'


Question: 'Let j be ((-22)/(-873))/((-10)/4326). Let g be ((-11644)/2328 - -1) + 4. Let w = j - g. Calculate the common denominator of -59/4 and w.\n'

Answer: '20\n'


Question: 'Suppose -4*w + 27 + 169 = 0. Suppose 0 = -3*p + w - 13. Find the common denominator of p and 37/9.\n'

Answer: '9\n'


Question: 'Let n = -59 + 61. Suppose 0 = -n*v - 6*v + 232. Let x = 2714/7 - 380. Calculate the common denominator of v and x.\n'

Answer: '7\n'


Question: 'Let s be (-25)/(1/218*(5 + -7)). Let u = s + -27289/10. What is the common denominator of u and 127/30?\n'

Answer: '30\n'


Question: 'Let i = -114 - -138. Let t = 155 - 119. Calculate the least common multiple of i and t.\n'

Answer: '72\n'


Question: 'Let w(r) = -r**3 - 12*r**2 - 24*r - 28. What is the smallest common multiple of 1212 and w(-10)?\n'

Answer: '1212\n'


Question: 'Let h(n) = n**3 - 4*n**2 - 12*n + 2. Let s be h(6). Let g(o) = o**3 - o**2 - o - 1. What is the smallest common multiple of 9 and g(s)?\n'

Answer: '9\n'


Question: 'Let d = -75 + 91. Suppose -4*y - 3*j = -d, -y + 2*y + 3*j = 4. Calculate the smallest common multiple of 12 and y.\n'

Answer: '12\n'


Question: 'Let o be ((-6155)/3183)/((-16)/80). Let h = -2/1061 + o. Calculate the common denominator of h and -24/11.\n'

Answer: '33\n'


Question: 'Suppose -5*r + 32 = 7, -4*r + 172 = 4*q. Let v = 12 + 18. Let d = q - v. Calculate the least common multiple of d and 10.\n'

Answer: '40\n'


Question: 'Let u be (-112380)/72*(-9)/(-30). Let n = 475 + u. Let r = -1331963/54 - -24665. Find the common denominator of r and n.\n'

Answer: '108\n'


Question: 'Let d = 611/95 + 7/19. Find the common denominator of d and 55*((-40)/(-35) - 1).\n'

Answer: '35\n'


Question: 'Let u = 717397/42 - 17080. What is the common denominator of u and 41/63?\n'

Answer: '126\n'


Question: 'Let x(w) = w**3 - 13*w**2 - w + 5. Let z be x(13). Let h(y) = -y**3 - 7*y**2 + 8*y + 8. Suppose -8 = -5*m + m. What is the lowest common multiple of m and h(z)?\n'

Answer: '8\n'


Question: 'Suppose 4*s - 28 = 4*b, 5*s - 42 = 3*b - 7. Calculate the smallest common multiple of s and 4.\n'

Answer: '28\n'


Question: 'Let w = 30 + -33. Calculate the lowest common multiple of 20 and -5 + 8 - -1*(-21)/w.\n'

Answer: '20\n'


Question: 'Suppose 0 = 2*l - 1 + 3. Let r = -3/2 + 19/4. Calculate the common denominator of r and (l/(-9))/((-22)/154).\n'

Answer: '36\n'


Question: 'Let w be 3 + -2 + -23 - -4. What is the common denominator of 219/w*1 + -1*2 and (-39)/(-5) + 2/4?\n'

Answer: '30\n'


Question: 'Let o = -219/4 + 101/4. What is the common denominator of o and (-75)/(-2)*21/245?\n'

Answer: '14\n'


Question: 'Let b = -100 - -151. What is the smallest common multiple of 54 and b?\n'

Answer: '918\n'


Question: 'Let u be (4/4450)/(48/(-23980)). Let m = u + -319/89. Find the common denominator of 37/8 and m.\n'

Answer: '120\n'


Question: 'Suppose 9*r - 8*r = -3*b + 57, -33 = -2*b + r. What is the least common multiple of b and 12?\n'

Answer: '36\n'


Question: 'What is the lowest common multiple of 54 and (-1386)/(-294) + 2/7?\n'

Answer: '270\n'


Question: 'Suppose -9*m - 9052 = -40*m. What is the least common multiple of 20 and m?\n'

Answer: '1460\n'


Question: 'Let d = 4/283 - -6493/1132. What is the common denominator of 11 - ((-559)/208 - -13) and d?\n'

Answer: '16\n'


Question: 'Let p be (-8)/(-12)*(-246)/(-4). Let t = 47 - p. What is the lowest common multiple of t and 1?\n'

Answer: '6\n'


Question: 'Find the common denominator of 4686/792*(-2)/(20/3) and -17/25.\n'

Answer: '200\n'


Question: 'Suppose -3*g + 3*s - 14 = 4*s, 10 = -5*s. Let f be -1 + 270/(2 + g). Calculate the common denominator of 17/12 and 6/(-36) - f/42.\n'

Answer: '84\n'


Question: 'Let b = -40 + 30. Find the common denominator of 63/5 + 2/b and -5.\n'

Answer: '5\n'


Question: 'Let k(h) = -2*h + 50. Let q be k(15). Suppose -22*c + q = -20*c. What is the least common multiple of 20 and c?\n'

Answer: '20\n'


Question: 'Let x be (-1)/(-5) + (-5664)/7370. Let g = 3/134 - x. Calculate the common denominator of (-2)/(-10) + (-124)/(-40) and g.\n'

Answer: '110\n'


Question: 'Suppose -3*i + i + 90 = -3*f, -4*i = -f - 190. Calculate the least common multiple of i and 42.\n'

Answer: '336\n'


Question: 'Let i = 282 - -2998. Let n = 29488/9 - i. What is the common denominator of -43/30 and n?\n'

Answer: '90\n'


Question: 'Suppose -2*u = -4*v - 59 - 61, -2*u = -3*v - 117. Suppose 2*l = -l + u. Calculate the least common multiple of l and 6.\n'

Answer: '18\n'


Question: 'Calculate the smallest common multiple of (2 + 4)/(3/2) and (-6 + 32)*(6 - 5).\n'

Answer: '52\n'


Question: 'Let i = -4641/452 - -2/113. Let z = -148/7 + 1150/63. What is the common denominator of z and i?\n'

Answer: '36\n'


Question: 'Let u be (9408 - 1) + -4 - -4. Let c = 112811/12 - u. Find the common denominator of -70/33 and c.\n'

Answer: '132\n'


Question: 'Suppose 0 = -3*o - 3*d - 3, -2*d = 6. Suppose 0 = -o*v - 3*v - 5. Find the common denominator of v - 4/(64/(-30)) and 27/2.\n'

Answer: '8\n'


Question: 'Let q = -10 - -15. Suppose q*m - 2 = 8. Suppose -p - m + 4 = 0. Calculate the smallest common multiple of 6 and p.\n'

Answer: '6\n'


Question: 'What is the common denominator of (-5595)/(-4212) - 12/9 and -25/12?\n'

Answer: '1404\n'


Question: 'Let k = 1028 - 818. What is the lowest common multiple of 9 and k?\n'

Answer: '630\n'


Question: 'Let i be 476/(-3 - (-7)/3). Find the common denominator of 63/20 and (-3)/(-15)*i/(-12).\n'

Answer: '20\n'


Question: 'Suppose 1 = 3*v - 3 - 41. Suppose -4*m - 45 = -7*m. What is the least common multiple of v and m?\n'

Answer: '15\n'


Question: 'Suppose 5*r + 761 = -1239. Let g = 7193/18 + r. Find the common denominator of -97/18 and g.\n'

Answer: '18\n'


Question: 'Suppose -7*h = -2*h - 694375. Let l be h/34160 - (-2)/(-7). Let s = 120/61 - l. What is the common denominator of s and 39/4?\n'

Answer: '16\n'


Question: 'Calculate the least common multiple of ((-7392)/120)/(2*(-2)/10) and 99.\n'

Answer: '1386\n'


Question: 'Let m be 12 - 15 - (-76665)/(-11). Let g = -6968 - m. Let c = -1/3914 - 79256/9785. What is the common denominator of g and c?\n'

Answer: '110\n'


Question: 'Find the common denominator of ((-8)/(-115))/((-27)/72) and 14/5.\n'

Answer: '345\n'


Question: 'Let l(x) = x**2 + 5*x. Suppose -10*t - 28 = -12*t. Suppose 2*k + t = m, 5*k = k - 8. Calculate the lowest common multiple of m and l(-9).\n'

Answer: '180\n'


Question: 'Let y = 29 - 46. Let a = y - -28. Let l = -2888 + 2895. Calculate the least common multiple of l and a.\n'

Answer: '77\n'


Question: 'Let y = -1 + 4. Suppose 2*m + 0*m - 3*p + 3 = 0, -3*p + y = -m. Suppose -q - 2*x - 2 = m, -5*x - 3 = 7. What is the least common multiple of q and 8?\n'

Answer: '8\n'


Question: 'Suppose 37*k + 8*k = 1350. What is the least common multiple of 465 and k?\n'

Answer: '930\n'


Question: 'Let y = 4965 + 4748. Let j = y + -97007/10. Find the common denominator of (178/6)/((-4)/6) and j.\n'

Answer: '10\n'


Question: 'Suppose -264*t + 284*t = 600. Let k = 185/6 - 325/12. What is the common denominator of k and t?\n'

Answer: '4\n'


Question: 'Let p = -8433463/8 - -1052057. Let c = p + 2117. Find the common denominator of c and 406/60 + (-4)/(-10).\n'

Answer: '24\n'


Question: 'Let d be (-12)/10*80/(-12). Let y be 210/d - 1/4. Let i = 40 - y. What is the least common multiple of i and 6?\n'

Answer: '42\n'


Question: 'Suppose 4*o + r = -0*r - 1371, -r = 3. Let g = o - -739/2. Find the common denominator of (-2)/(-5) - (-13)/(-10) and g.\n'

Answer: '10\n'


Question: 'Suppose 3*f = 2*f + 4. Calculate the smallest common multiple of 11/3*(0 - -3) and f.\n'

Answer: '44\n'


Question: 'Let v = 810 - 8131/10. Find the common denominator of v and -38/3.\n'

Answer: '30\n'


Question: 'Find the common denominator of (((-12)/(-4))/6)/((-189)/(-954)) and -119/30.\n'

Answer: '210\n'


Question: 'Let p = -11 + 27. Let d(i) = i**3 - 11*i + 2. Let v be d(-4). Let k = -6 - v. Calculate the lowest common multiple of k and p.\n'

Answer: '48\n'


Question: 'Let s(i) = -18*i - 248. What is the least common multiple of 36 and s(-14)?\n'

Answer: '36\n'


Question: 'Let g = -22 + 24. Suppose -g*h - 5*v + 19 = 0, h - 3*v - 17 = -8*v. What is the smallest common multiple of h and 16?\n'

Answer: '16\n'


Question: 'Let g(q) = q**3 + 6*q**2 - 11*q + 5. Suppose -78*c + 21 = -81*c. Calculate the smallest common multiple of g(c) and 3.\n'

Answer: '33\n'


Question: 'Let y = 249969/26 + -9616. What is the common denominator of y and 8/7?\n'

Answer: '182\n'


Question: 'Let f(y) = 17*y - 24. Let t be f(-8). Let g = t - -476/3. Calculate the common denominator of g and 32/7.\n'

Answer: '21\n'


Question: 'Let q = 14859/7 + -2129. Let h = -283/77 + 31/11. What is the common denominator of q and h?\n'

Answer: '7\n'


Question: 'What is the common denominator of -47/30 and 1/8 + (-169)/48 + 1?\n'

Answer: '240\n'


Question: 'Calculate the common denominator of ((-7)/735)/((-8)/(-830)) and -43/42.\n'

Answer: '84\n'


Question: 'Suppose 0*f = 2*f - 5*q + 15, -5*f + q - 26 = 0. Calculate the common denominator of (-34)/(-5)*(-10)/6 and 73/f + 1*3.\n'

Answer: '15\n'


Question: 'Let l = 0 - -4. Let h(n) = -2*n - 29. Let d be h(-16). Let g(w) = 2*w**3 - 5*w**2 + 6*w - 7. Calculate the least common multiple of g(d) and l.\n'

Answer: '20\n'


Question: 'Suppose -4*r - 2*j + 5*j = 19, -2*j + 14 = -3*r. What is the smallest common multiple of -6*(45/18)/(2/r) and 75?\n'

Answer: '150\n'


Question: 'Suppose 7*l - 42 = 70. Let z = -25 - -41. Calculate the least common multiple of l and z.\n'

Answer: '16\n'


Question: 'Suppose 0 = -4*d + 2 - 14, v = 2*d + 60. What is the least common multiple of 90 and v?\n'

Answer: '270\n'


Question: 'Let b be (-1)/(6/(-4)) - (-6)/18. What is the least common multiple of 2 and (39/5 - 7)/(b/160)?\n'

Answer: '128\n'


Question: 'Calculate the least common multiple of 5 - (-3 + 10/10) and 1668.\n'

Answer: '11676\n'


Question: 'Let v = 1126 - 2193/2. Let i = 16 - 23. Calculate the common denominator of (-14)/(-20) + (-7)/i and v.\n'

Answer: '10\n'


Question: 'Let f = -113 + 118. Let a = -4 - -3. What is the common denominator of (-46)/(-5) - a/f and -2/3?\n'

Answer: '15\n'


Question: 'Let t = -46397/12 + 3869. Find the common denominator of t and -125/24.\n'

Answer: '24\n'


Question: 'Let q = 178129 + -35625879/200. What is the common denominator of 101/20 and q?\n'

Answer: '200\n'


Question: 'Let v be 3/(-5) - (-171)/(-15). Let w = -146857/24 - -6123. Calculate the common denominator of w and ((-506)/(-16) - 2)*(-8)/v.\n'

Answer: '24\n'


Question: 'Suppose 4*l - 93 = -l + m, 2*m + 42 = 2*l. Suppose -559*z = -562*z + 30. Calculate the lowest common multiple of z and l.\n'

Answer: '90\n'


Question: 'Suppose -3*c + c = -10. Suppose -3*z - c*w = -35, 62 = 4*z + 3*w + 19. What is the smallest common multiple of (2/(-6))/((-5)/30) and z?\n'

Answer: '10\n'


Question: 'Let w(u) = -5*u - 5. Let x be w(-8). Suppose 3*y - 10 = h, -5*h = -2*h + 4*y - x. Calculate the lowest common multiple of h and 6.\n'

Answer: '30\n'


Question: 'Find the common denominator of 42/11 and ((-568)/(-48) - 12)*22/(-51).\n'

Answer: '1683\n'


Question: 'Let x = 2707/82901 + 2/6377. Find the common denominator of x and 61/56.\n'

Answer: '728\n'


Question: 'Let a = 14 + -20. Let h(r) = -2*r**2 + 2*r + 5. Let l be h(a). Let o = 153/2 + l. Calculate the common denominator of 95/18 and o.\n'

Answer: '18\n'


Question: 'Suppose -4*a = -2*a - 2848. Suppose -2*d + a - 478 = 0. Let k = d + -13714/29. Find the common denominator of 47/8 and k.\n'

Answer: '232\n'


Question: 'Suppose l = -5*o + 431, 4*o = 2*o + 2*l + 182. What is the smallest common multiple of o and 6?\n'

Answer: '174\n'


Question: 'Let o be -4*(3/6 + -2). Calculate the common denominator of ((-23)/o)/((-63)/(-27)) and 89/18.\n'

Answer: '126\n'


Question: 'Let o(h) = -3*h**2 - h - 4. Let s(y) = 3*y**2 + 4. Let b(r) = -3*o(r) - 2*s(r). Calculate the least common multiple of ((-13)/3 + 4)*(-1 - 5) and b(-3).\n'

Answer: '22\n'


Question: 'Let x(w) = 3*w**2 + 4*w + 61. Let a(j) = 4*j**2 + 6*j + 91. Let p(l) = 5*a(l) - 7*x(l). What is the smallest common multiple of 3/((-6)/(-16)) - -1 and p(6)?\n'

Answer: '36\n'


Question: 'Let r = 119 + -167. Calculate the common denominator of 8/16 - -1*1 and (33/r)/((-10)/(-4)).\n'

Answer: '40\n'


Question: 'Let t(g) = -49*g + 314. Calculate the lowest common multiple of t(6) and 108.\n'

Answer: '540\n'


Question: 'Let q(t) = t**3 - 2*t**2 - 3*t + 2. Let o be q(2). Calculate the common denominator of ((-52)/96)/(o/(-30)) and (10/25)/(336/10570).\n'

Answer: '48\n'


Question: 'Suppose -240 = -67*a + 63*a. What is the lowest common multiple of a and 60?\n'

Answer: '60\n'


Question: 'Let m be 1 - (-4 + 6 - 4). Suppose -3*h + 48 = m*s, 5*s = -2*h + 3*h - 34. Calculate the lowest common multiple of 5 and h.\n'

Answer: '95\n'


Question: 'Suppose 1 = -5*l + 1. What is the least common multiple of 48 and (l - 20/6)*78/(-65)?\n'

Answer: '48\n'


Question: 'Find the common denominator of ((-10)/540 - 8/12)/1 and -67/16.\n'

Answer: '432\n'


Question: 'Suppose -15*w - 336 = -36*w. Calculate the smallest common multiple of 32 and w.\n'

Answer: '32\n'


Question: 'Let r(d) = d**2 + 2*d + 6. What is the lowest common multiple of r(0) and 135?\n'

Answer: '270\n'


Question: 'Let u = -57 - -83. Let r = -1524 - -1525. Calculate the smallest common multiple of u and r.\n'

Answer: '26\n'


Question: 'Let d = 171781011/448 + -383440. Find the common denominator of d and -115/504.\n'

Answer: '4032\n'


Question: 'Let i = -1123097/6 - -186724. Let r(l) = 229*l + 1. Let o be r(-2). Let z = o - i. Find the common denominator of z and -17/22.\n'

Answer: '66\n'


Question: 'What is the common denominator of -89/54 and (-132)/165 + (-167)/360?\n'

Answer: '216\n'


Question: 'Let o = -69462/55 - -1263. What is the common denominator of 137/30 and o?\n'

Answer: '330\n'


Question: 'Let z(r) = r**2 + 4*r - 8. Let l(t) = t**2 + 8*t - 6. Let s be l(-8). Let p be z(s). Calculate the least common multiple of 4 and (0 + p)/(-4) - -25.\n'

Answer: '24\n'


Question: 'Let q be (-5)/10*(-2 + 2). Suppose q*z + 5*z - 20 = 0. What is the least common multiple of (-1)/(-3*z/24) and 16?\n'

Answer: '16\n'


Question: 'Let n be (-6)/10 + (-33397)/65. Let d = n + 517. What is the common denominator of d and -14/11?\n'

Answer: '55\n'


Question: 'Suppose 48*s - 41*s - 420 = 0. Calculate the smallest common multiple of 22 and s.\n'

Answer: '660\n'


Question: 'Let o = 41/66 + -7903/132. Let k = o + 34. Calculate the common denominator of k and 11/8.\n'

Answer: '8\n'


Question: 'Let s = 3043/5 - 18643/30. Find the common denominator of s and 25/11.\n'

Answer: '66\n'


Question: 'Suppose -f = 4*f + 40. What is the lowest common multiple of (-3 - -4) + -6 + 9 and f/(-12)*(11 + 1)?\n'

Answer: '8\n'


Question: 'Find the common denominator of 297/684*6/3 and -2 - (-3)/((-144)/(-51)).\n'

Answer: '304\n'


Question: 'Let s = -14 + 28. Let z be 72/27*3/2. Suppose -2*p - 60 = -5*p + 2*l, -z*p + 3*l = -79. Calculate the least common multiple of p and s.\n'

Answer: '154\n'


Question: 'Let p = -69 + 71. Find the common denominator of 83/4 and 489/(-120) + p/10.\n'

Answer: '8\n'


Question: 'Let f be 16 - (1 - (4 - 4)). Suppose 0*h = 5*h - f. Suppose 3*c + 0 = 5*y - 13, -2*c = -y - h. Calculate the lowest common multiple of 4 and y.\n'

Answer: '20\n'


Question: 'Suppose -g - 66 = -4*g. Let n = 15 - 9. What is the least common multiple of 3/6*n*6 and g?\n'

Answer: '198\n'


Question: 'Suppose -2*m = 3*x - 4*m - 246, 5*x + 4*m = 432. Calculate the least common multiple of 21 and x.\n'

Answer: '84\n'


Question: 'What is the common denominator of (-4)/14 + -3*242/105 and 59/9?\n'

Answer: '45\n'


Question: 'Let n(a) = -2*a + 26. Let i be n(11). What is the least common multiple of (-1)/((-261)/(-66) - i) and (-49)/(-6) + (-1)/6?\n'

Answer: '88\n'


Question: 'Find the common denominator of -1 - (-91)/(-12) - -1 and (79/4)/(-19 + 17).\n'

Answer: '24\n'


Question: 'What is the lowest common multiple of 4/7 - (-805)/49 - 1 and 58?\n'

Answer: '464\n'


Question: 'Let t = -2201/11 - -360073/1804. Calculate the common denominator of t and -101/8.\n'

Answer: '328\n'


Question: 'Find the common denominator of 143/48 and 156/(-864)*33/(-8).\n'

Answer: '192\n'


Question: 'Calculate the least common multiple of 9*(560/24 + -5) and 99.\n'

Answer: '495\n'


Question: 'Let g(x) = -x**2 + 6*x + 61. What is the lowest common multiple of 156 and g(-5)?\n'

Answer: '156\n'


Question: 'Let o = 24170 + -531637/22. What is the common denominator of o and (4 + -25)/(2 - 1 - -1)?\n'

Answer: '22\n'


Question: 'Suppose -c + 0*c - 14 = 4*a, -4*c - 2 = -2*a. Let d(i) = -2*i**3 - 4*i**2 + 4*i - 2. What is the lowest common multiple of 32 and d(a)?\n'

Answer: '32\n'


Question: 'What is the common denominator of (-3)/22*(4 + -2) and -2 + 142/(-64) + ((-200)/(-10) - 17)?\n'

Answer: '352\n'


Question: 'Suppose -2*x - 3*h = 32, -h = 5 - 1. Find the common denominator of 74/3*(-258)/1376 and (-4)/x - (-268)/(-45).\n'

Answer: '72\n'


Question: 'Let r = 37 - 35. Find the common denominator of (-4)/10 - (-19)/60 and r/(-8) + 450/(-160).\n'

Answer: '48\n'


Question: 'Let s = -34 + 54. Let o(d) = -d**3 + 7*d**2 + 12*d - 24. Suppose -4*j + 8 = -3*j. Calculate the smallest common multiple of s and o(j).\n'

Answer: '40\n'


Question: 'Let m be 135/(-54) - (-514)/4. Suppose -25*t = -18*t - m. Calculate the smallest common multiple of 6 and t.\n'

Answer: '18\n'


Question: 'Let v(s) = -s**2 + 2*s - 3. Let b be v(2). Calculate the lowest common multiple of 0 + 7 - (-12)/b and 4.\n'

Answer: '12\n'


Question: 'Let b = 4767835/188 + -25361. Find the common denominator of b and -35/16.\n'

Answer: '752\n'


Question: 'What is the least common multiple of 48 and (-7 - 2)*(3 - 10 - 5)?\n'

Answer: '432\n'


Question: 'Let l = 15/8 + -201/56. What is the common denominator of 13/35 and l?\n'

Answer: '35\n'


Question: 'Find the common denominator of (204/(-9))/(1 + -2) and (6/162)/(8/(-512)).\n'

Answer: '27\n'


Question: 'Let w = -461550 - -192126. Let s be (-1498527)/w + 2/8. Let i = s - -1/1871. Calculate the common denominator of i and -20/11.\n'

Answer: '176\n'


Question: 'Let y = -157 + 651. What is the least common multiple of 190 and y?\n'

Answer: '2470\n'


Question: 'Suppose 4*a + 58 = -i, 2*i + 98 = -a - a. Let x = -38 - i. What is the lowest common multiple of x and 10?\n'

Answer: '40\n'


Question: 'Let y(n) = -n + 3. Let j be y(0). Suppose m + 30 = 2*c, 4*c = 4*m + 61 - 5. Calculate the lowest common multiple of 12 + j/6*-4 and c.\n'

Answer: '80\n'


Question: 'Let y(v) = 5*v**2 - 12*v - 36. Calculate the least common multiple of 6/(2*(-1)/(-4)) and y(-2).\n'

Answer: '24\n'


Question: 'Let l be ((-4)/(-10))/(3/15). Suppose 75 = 4*z + g, 2*g = l*z + 4*g - 42. Calculate the smallest common multiple of (39 + -3)/((-7 - 1)/(-4)) and z.\n'

Answer: '18\n'


Question: 'Suppose 0 = 2*v + 58 - 70. Suppose v*p + 4 = 22. What is the least common multiple of p and 42?\n'

Answer: '42\n'


Question: 'Let t(n) = 145*n + 1554. What is the smallest common multiple of t(-10) and 39?\n'

Answer: '312\n'


Question: 'Suppose 6*p = -p - 210. Calculate the common denominator of (p/(-16) + 2)/(18/12) and 259/(-96) + (-1)/3.\n'

Answer: '96\n'


Question: 'Suppose 0 = -4*u + u + 63. Let m = u + 3. Calculate the smallest common multiple of m and 14.\n'

Answer: '168\n'


Question: 'Let m(d) = d**2 - 14*d + 7. Calculate the least common multiple of 474 and m(14).\n'

Answer: '3318\n'


Question: 'Let q be 0 + -2 + 4 + -227*4. Let t = q + 4484/5. What is the common denominator of -2 + 1/(-6)*-89 and t?\n'

Answer: '30\n'


Question: 'Suppose -5*a - 11 = 4*w, -2*a - 16 = -4*w - 6. Suppose f - 1 = -5*n, -16*f + n = -19*f + 17. Calculate the lowest common multiple of f and w.\n'

Answer: '6\n'


Question: 'Suppose 0 = -s - 6*l + 3*l + 7, s - l + 1 = 0. Calculate the least common multiple of 2 and s.\n'

Answer: '2\n'


Question: 'Suppose 11 = 5*l + 16, 0 = 5*m + 3*l - 67. Calculate the smallest common multiple of m and 160.\n'

Answer: '1120\n'


Question: 'Suppose -5*a = -2*d, 6*d - d - 35 = -5*a. Suppose -d*s - g + 5 = 27, -5*s - 3*g - 16 = 0. Find the common denominator of (135/(-6))/(-3 - s) and -27/7.\n'

Answer: '28\n'


Question: 'Let i be ((-220)/(-6))/(16/(-620)). Let s = i + 1417. Let p = 107/58 + -2236/261. What is the common denominator of s and p?\n'

Answer: '18\n'


Question: 'Suppose 12*j - 35 = -695. Let l = j + 81. Calculate the smallest common multiple of l and 6.\n'

Answer: '78\n'


Question: 'Let i(v) = 9*v + 2. Let h be i(1). Find the common denominator of -23/10 and -2 - ((-7)/14)/(h/101).\n'

Answer: '110\n'


Question: 'Suppose 3*o = -4*o - 14987. Let p be (-2)/(-7) + 89675/(-42). Let y = p - o. What is the common denominator of y and 7/8?\n'

Answer: '24\n'


Question: 'Let p(z) = z - 1. Let x be p(9). Suppose 0 = 4*v + x - 104. Suppose -3*i + v = -5*r + r, -2*i + 14 = -2*r. What is the smallest common multiple of 12 and i?\n'

Answer: '12\n'


Question: 'Suppose -5*g + 101 = 3*n, -14*n - 2*g = -12*n - 74. What is the lowest common multiple of n and 14?\n'

Answer: '42\n'


Question: 'Suppose 34 = u + 2*f, -1687*u + f - 35 = -1688*u. Let d = 29 + -9. Calculate the lowest common multiple of u and d.\n'

Answer: '180\n'


Question: 'Let f(h) = -h. Suppose -g - 35 = -6*g. What is the lowest common multiple of g and f(-1)?\n'

Answer: '7\n'


Question: 'Let s(m) = m**2 - m + 2. Let k be 4/4 + (4 - 3). Let v(n) = 4*n**3 + 2*n**2 - 2*n - 2. What is the least common multiple of s(k) and v(2)?\n'

Answer: '68\n'


Question: 'Let i = -5/1499 + 12307/94437. What is the common denominator of i and -89/54?\n'

Answer: '378\n'


Question: 'Let r = 79008/7 + -11306. Let s = r + 221/28. Let w = -7821/4 + 1980. Calculate the common denominator of w and s.\n'

Answer: '4\n'


Question: 'Let s be 34/4 - 6/4. Suppose s - 3 = y. Suppose -y*a = -17 - 15. What is the smallest common multiple of 2 and a?\n'

Answer: '8\n'


Question: 'Let w(x) = -3*x - 2. Let h(g) = g**2 + 1. Let m be h(1). Suppose -o - 6*t = -m*t - 8, o - t - 3 = 0. What is the least common multiple of w(-3) and o?\n'

Answer: '28\n'


Question: 'Let y(j) = -j**3 - 9*j**2 + 21*j + 11. Let h = 109 - 65. Suppose -2*f + h = -0*f. What is the lowest common multiple of y(-11) and f?\n'

Answer: '22\n'


Question: 'Let n be -3 - (3 + -7087)/(-4). Let g = n - -3633/2. What is the common denominator of 83/20 and g?\n'

Answer: '20\n'


Question: 'Let s = 59/126 - -2404/315. Find the common denominator of s and 101/70.\n'

Answer: '70\n'


Question: 'Let q = 105771/20 + -5293. Find the common denominator of q and -77/45.\n'

Answer: '180\n'


Question: 'Suppose -8*g + 166 = -58. What is the smallest common multiple of g and 8?\n'

Answer: '56\n'


Question: 'Let w = 2/1465 + -99626/4395. Let u(m) = 76*m + 1. Let c be u(1). Let j = 37 - c. What is the common denominator of w and j?\n'

Answer: '3\n'


Question: 'Let s = -17 + 5. Suppose -2*x = -2*c + 22, 0*c - 34 = 3*x - 4*c. What is the common denominator of (-146)/x*(-10)/s and -7/20?\n'

Answer: '60\n'


Question: 'Let o(m) = -m**2 - 9*m - 15. Let u be o(-6). Suppose 5*q = -2*j + 178, -u*j + 30 = 2*q - 50. What is the least common multiple of q and 5?\n'

Answer: '170\n'


Question: 'Let y = -90/19 - -4699/988. What is the common denominator of y and -20/117?\n'

Answer: '468\n'


Question: 'Suppose -26*u = -27*u - 4*t + 862, u + 2*t - 872 = 0. What is the smallest common multiple of u and 18?\n'

Answer: '882\n'


Question: 'Let h = 10415 + -21765/2. Let v = -391 - 67. Let b = v - h. What is the common denominator of b and -59/6?\n'

Answer: '6\n'


Question: 'Let d(g) = -g**2 + 30*g + 147. What is the lowest common multiple of 4 and d(-4)?\n'

Answer: '44\n'


Question: 'Let q be 3 - (5 - -2) - -3. Let d be 2/(-4)*(q + 7). Let g = 12 + d. Calculate the lowest common multiple of 9 and g.\n'

Answer: '9\n'


Question: 'Let z = 248/9 + -11009/360. Calculate the common denominator of 33/10 and z.\n'

Answer: '40\n'


Question: 'Let w(h) = -h**3 + h**2 + 3*h + 15. Calculate the least common multiple of 3 and w(0).\n'

Answer: '15\n'


Question: 'Let r(g) = -2*g - 14. Let i be r(-9). What is the smallest common multiple of 1/2*76/2 and (-44)/(-7) - i/14?\n'

Answer: '114\n'


Question: 'Let z = 9 + -21. Let v be 0 + -13 - (11 + z). What is the smallest common multiple of 64/v*(-6)/4 and 8?\n'

Answer: '8\n'


Question: 'What is the common denominator of 103/60 and (143/72 + -2)/(2/604)?\n'

Answer: '180\n'


Question: 'Suppose -30 = 5*o + 4*l - 86, 0 = -o + 5*l + 17. Calculate the smallest common multiple of (9/12)/((-6)/(-592)) and o.\n'

Answer: '444\n'


Question: 'Let z = 7646/3 - 2573. Let w = 1328/203 + 5/29. Calculate the common denominator of z and w.\n'

Answer: '21\n'


Question: 'Let h be ((-12)/(-10))/(4/(-10)). Let d = 393/2398 - 330/109. Calculate the common denominator of d and ((-4)/(-64))/((6/196)/h).\n'

Answer: '88\n'


Question: 'Suppose -2*y - 28 = -8. What is the common denominator of y/40 - (-53)/(-36) and -81/46?\n'

Answer: '414\n'


Question: 'Let p = -4/4891 - -562561/117384. Let b = 2498/27 - 830/9. Calculate the common denominator of b and p.\n'

Answer: '216\n'


Question: 'Suppose 3*n - 13 + 1 = 0. Suppose 2*v + 4 + 6 = -2*i, -8 = -2*v + n*i. Calculate the smallest common multiple of 4 + 9 + v - 2 and 2.\n'

Answer: '18\n'


Question: 'Calculate the smallest common multiple of 80444/3978 + (-2)/(-9)*-1 and 4.\n'

Answer: '20\n'


Question: 'Suppose 33*k = -k + 204. Calculate the least common multiple of 27 and k.\n'

Answer: '54\n'


Question: 'Let c = 6/257 - 21869/1028. Let a be ((-2)/(-120))/((-78)/2748). Let v = -1/78 + a. Find the common denominator of c and v.\n'

Answer: '20\n'


Question: 'Let n = 1/461565 - 106806172/14308515. Let h = -33/31 - n. Let v = 205/7 + 17/14. Calculate the common denominator of h and v.\n'

Answer: '10\n'


Question: 'Let u(r) = -3*r**3 + 66*r**2 + 7*r - 98. Calculate the smallest common multiple of 40 and u(22).\n'

Answer: '280\n'


Question: 'Find the common denominator of 157/78 and 1 + ((-2)/(-9) - 11390/4680).\n'

Answer: '156\n'


Question: 'Let s(d) = -3*d + 107. What is the smallest common multiple of 26 and s(-27)?\n'

Answer: '2444\n'


Question: 'Calculate the common denominator of (-6)/(-8)*(-2060)/(-150) and -109/30.\n'

Answer: '30\n'


Question: 'Let z(s) = 3*s + 3. What is the lowest common multiple of z(3) and (-100)/(-45) - 2/9?\n'

Answer: '12\n'


Question: 'Let v be (20845/(-1290))/((-1168)/(-804)). Let c = -6/3139 + v. Find the common denominator of 28/(-3)*42/(-32) and c.\n'

Answer: '8\n'


Question: 'Suppose -18*v = -6*v - 192. Suppose -3*l = 5*t - 23, 0 = 5*t - 5*l + l - v. Calculate the least common multiple of 70 and t.\n'

Answer: '140\n'


Question: 'Let m = 14 - 10. Suppose 76 = 3*x + 5*f, -f = -2*x - 0*x + 42. Suppose m*i - x = 10. Calculate the lowest common multiple of i and 6.\n'

Answer: '24\n'


Question: 'Let f(a) be the second derivative of -a**5/20 + a**4/3 + a**3/3 - 5*a**2/2 - a. Calculate the smallest common multiple of 6 and f(4).\n'

Answer: '6\n'


Question: 'Find the common denominator of 47/120 and ((-24)/300)/(2/14).\n'

Answer: '600\n'


Question: 'Calculate the common denominator of 109/22 and ((0 - -3)/((-32)/62))/(-3).\n'

Answer: '176\n'


Question: 'Suppose 28*i - 4 - 192 = 0. Calculate the lowest common multiple of 98 and i.\n'

Answer: '98\n'


Question: 'Let a = 142 + -207. Let i = -3293 + 32819/10. Find the common denominator of i and 4 + -1 + a/(-15).\n'

Answer: '30\n'


Question: 'Suppose -4*d - 6*i = -11*i - 28, -5*d = 5*i - 35. What is the lowest common multiple of 4/6 + d/3 and 9?\n'

Answer: '9\n'


Question: 'Let i = 1108 - 1064. What is the lowest common multiple of 376 and i?\n'

Answer: '4136\n'


Question: 'Let i = 2 + 20. Suppose 0*p - 2*p = -2, r = 5*p + 7. Suppose r*c - 120 = 2*c. Calculate the lowest common multiple of c and i.\n'

Answer: '132\n'


Question: 'Let z = -25127/5005 - -174/35. Calculate the common denominator of z and -71/130.\n'

Answer: '1430\n'


Question: 'Let w = 308 - 297. Calculate the lowest common multiple of 164 and w.\n'

Answer: '1804\n'


Question: 'Let j = -115665/170996 + -25/2758. What is the common denominator of 75/8 and j?\n'

Answer: '248\n'


Question: 'Calculate the least common multiple of (7/(105/6))/(5/1275) and 6.\n'

Answer: '102\n'


Question: 'Suppose 0 = 162*x - 175*x + 1352. Calculate the smallest common multiple of 14 and x.\n'

Answer: '728\n'


Question: 'Calculate the common denominator of -107/460 and (-258)/(-4128) - (-50)/(-16).\n'

Answer: '1840\n'


Question: 'Let y be 21186/40 - (7 - 4). Let h = y + -2517/5. Find the common denominator of h and 101/32.\n'

Answer: '32\n'


Question: 'What is the common denominator of (-8)/(112/66)*1/(-3) and -49/2?\n'

Answer: '14\n'


Question: 'Suppose 0 = 4*w - 6 - 2. Suppose -w*l = -2*g - 3*l + 7, -4*l + 19 = 5*g. What is the smallest common multiple of 6 and g?\n'

Answer: '6\n'


Question: 'Calculate the smallest common multiple of (-10 + 3)/(-7) - (-141)/3 and 216.\n'

Answer: '432\n'


Question: 'Let a = -1317 - -10539/8. Find the common denominator of 77/58 and a.\n'

Answer: '232\n'


Question: 'Let w be 590/4*(-20)/(-25). Suppose -m + 186 = -3*m - 2*a, 4*a = m + w. Calculate the common denominator of 1 - -2 - (-105)/m and 11/12.\n'

Answer: '84\n'


Question: 'Find the common denominator of 52/15 and (-12)/486*87 + 9 + -5.\n'

Answer: '135\n'


Question: 'Let t(m) = 3*m**2 - 5*m - 28. Calculate the lowest common multiple of t(-4) and 152.\n'

Answer: '760\n'


Question: 'Suppose 40 = 3*o - 0*o + p, -5*o + 85 = -2*p. Suppose -5*g + 47 = 3*z + o, -2*g - 12 = -5*z. Calculate the least common multiple of g and 3.\n'

Answer: '12\n'


Question: 'Find the common denominator of (-404)/40*(-1 - (-12)/(-8)) and 58/9.\n'

Answer: '36\n'


Question: 'Suppose 3*u - 2*w + 1 = -3*w, 0 = -5*u - w - 5. What is the lowest common multiple of 75 and (1/u)/(4/(-24))?\n'

Answer: '75\n'


Question: 'Suppose 2*l - 10 = 50. Let r = 1533 + -1500. Calculate the lowest common multiple of r and l.\n'

Answer: '330\n'


Question: 'Let t = 880 + -750. What is the lowest common multiple of 10 and t?\n'

Answer: '130\n'


Question: 'Suppose -9 - 8 = -o. Suppose -2*g - f + 6 = -22, 3*g + 3*f = 42. Let p = g + -7. What is the smallest common multiple of p and o?\n'

Answer: '119\n'


Question: 'Calculate the common denominator of 85/16 and 2/12*1/(36/330).\n'

Answer: '144\n'


Question: 'Let x(f) = f**3 + 3*f**2 + 5*f + 6. Let d(n) = -5*n**3 - 14*n**2 - 24*n - 31. Let m(b) = -2*d(b) - 11*x(b). What is the lowest common multiple of 10 and m(-4)?\n'

Answer: '40\n'


Question: 'Suppose 1982 + 290 = 5*f + i, 3*f - 5*i - 1380 = 0. Calculate the common denominator of f/(-150)*54/140 and -79/12.\n'

Answer: '300\n'


Question: 'What is the common denominator of (-849)/(-1890) + 4/(-40) and -34/81?\n'

Answer: '567\n'


Question: 'Let u = -79 + 71. Suppose x + 0*t + 5*t = -38, 2*x + 16 = 5*t. Let o = u - x. Calculate the least common multiple of o and 2.\n'

Answer: '10\n'


Question: 'Let h(c) = 7*c**2 - 11. Calculate the lowest common multiple of 8 and h(3).\n'

Answer: '104\n'


Question: 'Let n(p) = 3*p**2 + 45*p + 24. Calculate the smallest common multiple of 30 and n(-15).\n'

Answer: '120\n'


Question: 'Let t = 27 - 17. Calculate the common denominator of (3/(-18))/(t/213) and (1/(-35))/((-4)/310).\n'

Answer: '140\n'


Question: 'Let r = 10984879/210 - 52308. Find the common denominator of 169/150 and r.\n'

Answer: '1050\n'


Question: 'Let s = -2/883 + -4411/1766. Calculate the common denominator of -51/92 and s.\n'

Answer: '92\n'


Question: 'Suppose 4*y - 31 = 9. Let r = 20 - 13. Let x = r - -1. What is the lowest common multiple of x and y?\n'

Answer: '40\n'


Question: 'Let h = -108 - -110. Suppose -h*f = w - 0*f - 8, 0 = -w + 2*f + 8. Calculate the least common multiple of w and 7.\n'

Answer: '56\n'


Question: 'Let m be 1780/(-30) + 4/(-6). Let u be (m/(-50))/((-1)/(-5)). Calculate the common denominator of 18/11 and 3 - 172/u - -3.\n'

Answer: '33\n'


Question: 'Let p(s) = s**2 + 3*s + 1. Let o be p(-4). Suppose 1 - o = -l - 2*w, -4*l + 6 = -2*w. What is the least common multiple of l and 18?\n'

Answer: '18\n'


Question: 'Suppose 4*n = 5*t - 358, 5*t + 5 - 347 = -4*n. Calculate the lowest common multiple of t and 80.\n'

Answer: '560\n'


Question: 'Let l = -377/6 - -52. Calculate the common denominator of l and -105/58.\n'

Answer: '174\n'


Question: 'Let f = 222/7 + -26. Calculate the common denominator of (-1220)/224 - 2/21 and f.\n'

Answer: '168\n'


Question: 'Let w(y) = -y**2 - 9*y - 17. Let n be w(-6). What is the common denominator of 111/51 + -1 + (-2 - n) and 35/4?\n'

Answer: '68\n'


Question: 'Suppose -11*f = 20*f - 372. What is the lowest common multiple of f and 50?\n'

Answer: '300\n'


Question: 'Suppose 0 = 30*v - 424 - 656. What is the lowest common multiple of 45 and v?\n'

Answer: '180\n'


Question: 'Let n be (-117)/26*2/3*-1. Suppose -4*d - 5*s = -48, -n*d - s + 36 = 4*s. What is the least common multiple of d and 6?\n'

Answer: '12\n'


Question: 'Suppose 14*g - 900 = 4*g. What is the common denominator of (-1)/5 - 1/g*3 and -83/2?\n'

Answer: '30\n'


Question: 'Let o = -307 + 568. Suppose 79 = -p + o. Find the common denominator of (p/(-16))/(9/12) and 1/12.\n'

Answer: '12\n'


Question: 'Let n(j) = -7*j**2 + 26*j - 36. Let r(u) = 4*u**2 - 13*u + 18. Let q(f) = 3*n(f) + 5*r(f). What is the smallest common multiple of 24 and q(7)?\n'

Answer: '24\n'


Question: 'Calculate the least common multiple of (4 - 190/45)/(9/(-1377)) and 2*(-2)/4*-1.\n'

Answer: '34\n'


Question: 'Let k = -3 + 5. Let v = -73 - -107. Calculate the least common multiple of k and v.\n'

Answer: '34\n'


Question: 'Let v be 25302/(-4)*(4 + 53/(-33)). Let g = v - -15139. Find the common denominator of g and -95/44.\n'

Answer: '44\n'


Question: 'Let i(n) = -n - 2. Let w be i(-5). Suppose 3*m = 3*d - 12, w*m + 3*d - 4*d = -20. Let g(t) = t + 18. What is the least common multiple of g(m) and 12?\n'

Answer: '60\n'


Question: 'Let x = -7 + 12. Suppose -3 + 10 = c + 4*m, -3*m + 35 = x*c. What is the common denominator of c and 24/9 - 2090/(-240)?\n'

Answer: '8\n'


Question: 'Let j = 13 + -8. Suppose -31 = j*d - 141. Suppose 32*c = 26*c + 36. What is the lowest common multiple of c and d?\n'

Answer: '66\n'


Question: 'Let n = 8515/2 - 4347. Let i = 91 + n. Find the common denominator of i and 127/18.\n'

Answer: '18\n'


Question: 'Let n be (-1 + (-2)/(-3))/((-2)/18). Suppose -g = m - 3*m + 13, n*g - 41 = -4*m. Calculate the lowest common multiple of m and 22.\n'

Answer: '88\n'


Question: 'Let w(q) = 4*q**3 - 5*q**2 - 5*q + 7. Let z(l) = -3*l**3 + 4*l**2 + 4*l - 7. Let b(o) = 4*w(o) + 5*z(o). Calculate the smallest common multiple of b(3) and 22.\n'

Answer: '220\n'


Question: 'Let h = -31 - -51. Let r = h + -14. What is the common denominator of 4/r*(-393)/(-12) and 85/14?\n'

Answer: '42\n'


Question: 'Suppose -21*h + 50 = -16*h. Let q(o) = o**3 - 2*o + 3. What is the least common multiple of q(3) and h?\n'

Answer: '120\n'


Question: 'Let g = 16949/4 + -4262. Calculate the common denominator of g and -47/6.\n'

Answer: '12\n'


Question: 'What is the common denominator of -85/6 and (23/(-5))/(8 + -17)?\n'

Answer: '90\n'


Question: 'Find the common denominator of -41/1384 and -1 - (-18)/21 - 2802/84.\n'

Answer: '1384\n'


Question: 'Suppose -30*a + 15*a = -225. Calculate the least common multiple of a and 156.\n'

Answer: '780\n'


Question: 'Let l be (5 + 1)*8/16. Suppose l*s = -0*s. Suppose 2*j = -s*b + 4*b - 42, 2*j - 8 = -b. What is the lowest common multiple of b and 3?\n'

Answer: '30\n'


Question: 'Let f = 15 - 6. Let d be (-3)/f - (-3298)/1365. Let s = d + 1/1820. What is the common denominator of s and 63/4?\n'

Answer: '12\n'


Question: 'Calculate the lowest common multiple of 58 and 1/(2/6)*1160/24.\n'

Answer: '290\n'


Question: 'Let d be 6/10 - 34/(-10). Let y(p) = 3*p**2 - 7*p. Calculate the lowest common multiple of 18 and y(d).\n'

Answer: '180\n'


Question: 'Suppose 9*r - 538 + 106 = 0. Calculate the least common multiple of r and 12.\n'

Answer: '48\n'


Question: 'Suppose -3*r - 38 = -5*r. Let g = r + -15. What is the lowest common multiple of g and 6?\n'

Answer: '12\n'


Question: 'What is the common denominator of -47/7 and 345/225*(-21)/6?\n'

Answer: '210\n'


Question: 'Let o = -43 - -42. Calculate the common denominator of o + 318/27 - 4 and 33/2.\n'

Answer: '18\n'


Question: 'Suppose 3*x - 4*c = 13 + 75, 0 = -4*x - 5*c + 76. Calculate the lowest common multiple of 14 and x.\n'

Answer: '168\n'


Question: 'Suppose 0 = -4*k - 3*h + 41, -2*h - 80 = -2*k - 3*k. Suppose 5*z + 1180 = 145*z + 340. What is the least common multiple of z and k?\n'

Answer: '42\n'


Question: 'Suppose g + 2*j + 20 = 4, -4*g - j - 57 = 0. Let d be ((-2)/10 - 0 - -2)*10. Calculate the common denominator of (-3)/d*(-224)/12 and g.\n'

Answer: '9\n'


Question: 'Let p = -5908/15 - -23959/60. What is the common denominator of -59/58 and p?\n'

Answer: '580\n'


Question: 'Let k(l) = 16955*l - 1. Let o be k(-1). Let h = -5568663 + 111712471/20. Let y = h + o. Calculate the common denominator of 23/18 and y.\n'

Answer: '180\n'


Question: 'Let p = 251 - 77. What is the lowest common multiple of 2 and p?\n'

Answer: '174\n'


Question: 'Suppose 0 = -4*p + 12, -2*q = -q - 3*p. Let h(x) = -x - 7. Calculate the lowest common multiple of h(-14) and q.\n'

Answer: '63\n'


Question: 'Let b = 13 + -13. Suppose -8*m + 6*m + 10 = b. What is the smallest common multiple of m and 1?\n'

Answer: '5\n'


Question: 'What is the common denominator of (9/(-2)*14)/(-10 + 12) and 73/2?\n'

Answer: '2\n'


Question: 'Let a(c) = -c**3 + 5*c**2 + 6*c + 2. Let i be a(6). Let s = i + 0. What is the lowest common multiple of s and 8?\n'

Answer: '8\n'


Question: 'Let r(s) = 1038*s - 5. Let h be r(5). Let o = 5725/1568 - 40677569/7840. Let t = o + h. Find the common denominator of t and 75/16.\n'

Answer: '560\n'


Question: 'Suppose -2*f + 5*f = 12. Suppose -3*p + 23 = 4*m, -3*m - 2*m - 10 = -f*p. Calculate the lowest common multiple of m and 2.\n'

Answer: '2\n'


Question: 'Let p(a) = -a**3 - 9*a**2 - 7*a + 10. Let v be p(-8). Suppose -24 = -v*t - 4. Suppose 3 - 2 = s. What is the least common multiple of t and s?\n'

Answer: '10\n'


Question: 'Let j(b) = -10135*b - 3. Let z be j(-2). Let a = z + -405427/20. Find the common denominator of a and -29/8.\n'

Answer: '40\n'


Question: 'Calculate the common denominator of ((60/(-42))/5)/(288/(-4228)) and (15/(-36))/((-6)/(-117)).\n'

Answer: '72\n'


Question: 'Let h = -1529 - -13784/9. Calculate the common denominator of h and -27/182.\n'

Answer: '1638\n'


Question: 'Suppose -29 + 7 = -o. Calculate the common denominator of o and 2 - (-9)/3*489/(-54).\n'

Answer: '6\n'


Question: 'Suppose -h = 13 - 2. Let s be 2040/(-18)*9*-1. Calculate the common denominator of 6/2 + s/(-36) and h.\n'

Answer: '3\n'


Question: 'Let x be (4/(-3))/(6/(-9)). Suppose 0 = -x*f - m, -f + 0 = 4*m + 14. Calculate the smallest common multiple of 4*2*-9*8/(-36) and f.\n'

Answer: '16\n'


Question: 'Let w = -3/904 - -47933/6328. What is the common denominator of (39/(-99)*3)/(-1) and w?\n'

Answer: '77\n'


Question: 'Let a(s) = 9*s + 5. Let n be a(0). Suppose 17 + 18 = n*o. Calculate the least common multiple of 6 and o.\n'

Answer: '42\n'


Question: 'Let l = -801 - -4847/6. Let s = -839 - -25. Let y = -4042/5 - s. Find the common denominator of l and y.\n'

Answer: '30\n'


Question: 'Let n = -22477/20 + 1119. Let r = 3128/15 + -97643/465. Let i = -1033/434 - r. Calculate the common denominator of i and n.\n'

Answer: '140\n'


Question: 'Suppose 11*n - 9*n = -20870. Let o be (2 - 0) + (-292006)/(-28). Let y = o + n. Calculate the common denominator of y and -15/22.\n'

Answer: '154\n'


Question: 'Let c be 2*2 - (1 - 5). Suppose -c*p + 28 = -4*p. Let l = 26 - 16. Calculate the lowest common multiple of l and p.\n'

Answer: '70\n'


Question: 'Let t(n) = -n**2 - 7*n - 1. Let w be t(-6). Suppose -4*d + w*d - 8 = 0. Calculate the smallest common multiple of 20 and d.\n'

Answer: '40\n'


Question: 'Suppose -531 - 5018 = -t. Let v = t - 111043/20. Let n = -9877 + 138213/14. Find the common denominator of v and n.\n'

Answer: '140\n'


Question: 'Suppose 2*t = 6*t - 5*w - 437, -4*t = 6*w - 426. What is the least common multiple of t and 28?\n'

Answer: '756\n'


Question: 'Let c(v) = 6*v**2 + 44*v + 94. Suppose -h - 5*x + 6 = -3*x, 5*x + 51 = 3*h. Calculate the smallest common multiple of c(-2) and h.\n'

Answer: '60\n'


Question: 'Let d(t) = t + 10. Suppose j = -4*q - 26, q = 8*j - 3*j + 25. Let f be d(j). Suppose 0 = f*o - 6 - 38. What is the lowest common multiple of 7 and o?\n'

Answer: '77\n'


Question: 'Find the common denominator of -65/68 and 10246/752 + 3/(-2).\n'

Answer: '136\n'


Question: 'Suppose 0 = 17*x - 14*x - 189. What is the lowest common multiple of 135 and x?\n'

Answer: '945\n'


Question: 'Let p be 1*((-893)/(-7) + -2). Let j = -126 + p. What is the common denominator of 7/56 - (-546)/(-80) and j?\n'

Answer: '70\n'


Question: 'Suppose 10 = d + 2*x, -d - 1 - 9 = -2*x. Suppose k - 20 = -d*k. Calculate the lowest common multiple of k and (-2)/(-6)*(195 - 153).\n'

Answer: '140\n'


Question: 'Suppose 8*w = 4 - 12. Find the common denominator of (-2 - w)/(6/133) and 13/2.\n'

Answer: '6\n'


Question: 'Let h = -2 + 4. Suppose -5*z - 20 = 0, 3*z + 18 = 2*n + n. Let x = n - -3. What is the lowest common multiple of h and x?\n'

Answer: '10\n'


Question: 'Let d be 6/36 - 8189/(-6). What is the common denominator of d/539 + (-4)/(-22) and 89/4?\n'

Answer: '28\n'


Question: 'Let o = -14 - -19. Let m = o - -5. What is the smallest common multiple of -4*((-9)/2 - -3) and m?\n'

Answer: '30\n'


Question: 'Let u = 1129 + -2339/2. Calculate the common denominator of u and 41/145.\n'

Answer: '290\n'


Question: 'Let g be (-1386)/2804 - (-2)/4. Let w = -37874/3505 + g. Find the common denominator of 14/9 and w.\n'

Answer: '45\n'


Question: 'Suppose 0 = 8*t - 11*t + 3045. Suppose -15*x + 10*x + t = 0. Find the common denominator of -9/16 and (x/105)/(8/18).\n'

Answer: '80\n'


Question: 'Suppose -3*g + 800 = -g + 2*s, -5*g + 2*s = -1986. What is the least common multiple of g and 14?\n'

Answer: '2786\n'


Question: 'Find the common denominator of 97/14 and (12/1224)/((-12)/284).\n'

Answer: '2142\n'


Question: 'Let d = 103 - 93. Calculate the smallest common multiple of 45 and d.\n'

Answer: '90\n'


Question: 'Let c(o) = o**3 - 15*o**2 + 13*o + 17. Let j be c(14). Suppose 0 = 2*k - 21 + j. What is the lowest common multiple of k and 2?\n'

Answer: '18\n'


Question: 'Let u(t) = t**3 - 41*t**2 + 117*t - 94. What is the smallest common multiple of u(38) and 156?\n'

Answer: '780\n'


Question: 'Let i(h) = -h**2 + 4*h + 65. What is the smallest common multiple of i(9) and 22?\n'

Answer: '220\n'


Question: 'Let x = 353 + -181. Suppose -5*a = 73 + x. What is the common denominator of 99/2 and a?\n'

Answer: '2\n'


Question: 'Let u = 1465/339 + 4/339. Find the common denominator of (135/36)/15*14*4/29 and u.\n'

Answer: '87\n'


Question: 'Let y(h) = h + 18. Let k be y(-8). Let g be 2/(-24)*(-400002)/k. Let f = 3332 - g. Find the common denominator of f and 81/16.\n'

Answer: '80\n'


Question: 'Suppose -55*j - 45 = -70*j. What is the smallest common multiple of 127 and j?\n'

Answer: '381\n'


Question: 'Let c = 7 - 4. What is the least common multiple of c and 29*5/15 + 2/6?\n'

Answer: '30\n'


Question: 'Suppose 0 = -5*l + 10, y + 2*l = 6 + 1. Suppose y*k + 11*k - 140 = 0. What is the lowest common multiple of k and 64?\n'

Answer: '320\n'


Question: 'Let q = -50/33 + 591/44. Let s be ((-4394)/(-4))/(10/20). Let f = s - 24185/11. Find the common denominator of f and q.\n'

Answer: '132\n'


Question: 'Let h = -3/256 + 3971/256. Calculate the common denominator of h and 1/((-1085)/2225 - (-3)/5).\n'

Answer: '10\n'


Question: 'Let p = 4 + -2. Calculate the smallest common multiple of p and 42/(-63) + (-52)/(-6).\n'

Answer: '8\n'


Question: 'Let w = -551 + 574. What is the lowest common multiple of 2 and w?\n'

Answer: '46\n'


Question: 'Let i = 3/152 - 461/4104. Let x = -4788 - -47813/10. Find the common denominator of i and x.\n'

Answer: '270\n'


Question: 'Let l(t) = t - 2. Let q be l(-9). Let y = 10 - 10. Calculate the smallest common multiple of 22 and q/((-44)/48) + y.\n'

Answer: '132\n'


Question: 'Let n = 195 - 183. Calculate the lowest common multiple of 8 and n.\n'

Answer: '24\n'


Question: 'Suppose -a - 95 = 5*u, 3*u + 5*a = -21 - 58. Let j be (-6)/u - (-6)/9. Let z = 8 + j. What is the smallest common multiple of z and 6?\n'

Answer: '18\n'


Question: 'Suppose -156 - 48 = 3*x. Calculate the common denominator of -38 and (-1)/2 - 255/x.\n'

Answer: '4\n'


Question: 'Let h(u) = u**2 - 23*u + 44. Let r be h(21). Suppose -4*c + 25 = -79. What is the common denominator of c and -3 - ((-78)/22 - r)?\n'

Answer: '11\n'


Question: 'Suppose -2*a + z = 2*z - 11, 29 = 5*a + 4*z. What is the smallest common multiple of 588 and a?\n'

Answer: '2940\n'


Question: 'Let s = 76 + -26. Suppose j + 4*j - s = 0. What is the smallest common multiple of 3 and j?\n'

Answer: '30\n'


Question: 'Suppose -4 = -15*s + 146. Calculate the least common multiple of 25 and s.\n'

Answer: '50\n'


Question: 'Let t be -112 + -1 - 0/(-1). Let y = t + 227. Calculate the common denominator of -73/10 and (-15)/8*y/(-9).\n'

Answer: '20\n'


Question: 'Suppose 9370 = 3*j + 2*j. Suppose 44 + j = -2*q. Let o = 9637/10 + q. Find the common denominator of -39/22 and o.\n'

Answer: '110\n'


Question: 'Let m = 55381/26532 + 38/737. Find the common denominator of (1/20)/((-8)/90) and m.\n'

Answer: '144\n'


Question: 'Suppose -4*i = -11 - 5. Suppose 0 = -i*p - 5*y - 18, 2*y + 34 = -5*p + 3. What is the lowest common multiple of 18 and (-35)/p*(-8)/(-5)?\n'

Answer: '72\n'


Question: 'Find the common denominator of 10/(-20) + (2 - -1) + -5 and 53/11.\n'

Answer: '22\n'


Question: 'Let s = -17223 - -28958. Let g = 234593/20 - s. What is the common denominator of g and 13/70?\n'

Answer: '140\n'


Question: 'Let c be 10091/(-8)*(-20)/(-6). Let n = 4211 + c. What is the common denominator of n and 79/4?\n'

Answer: '12\n'


Question: 'Let x(a) = a + 17. Let b = -5 + 11. Suppose -b*u - 20 = -2*u. Calculate the least common multiple of x(u) and 2.\n'

Answer: '12\n'


Question: 'Let i be (-2)/(1 + 20/(-12)) + -3369. What is the common denominator of i/(-1360) + (-8)/2 and -53/6?\n'

Answer: '120\n'


Question: 'Suppose 87 = -25*q - 38. Let u(t) = -6*t**2 - 11*t + 1. Let s(x) = x**2 + x. Let g(m) = 5*s(m) + u(m). Calculate the least common multiple of g(q) and 10.\n'

Answer: '30\n'


Question: 'Let x(g) = -g + 2. Let a = 435 + -423. Calculate the least common multiple of a and x(-6).\n'

Answer: '24\n'


Question: 'Let b = 161/5 - 227/10. Let l = -5794513 - -5273004913/910. Let j = l - -3/455. Find the common denominator of j and b.\n'

Answer: '10\n'


Question: 'Let i = 418 + -404. What is the least common multiple of 302 and i?\n'

Answer: '2114\n'


Question: 'Let p(w) = -797*w + 1. Let y be p(-2). Let m = 521 + y. Let a = -16905/8 + m. Calculate the common denominator of a and -49/3.\n'

Answer: '24\n'


Question: 'Suppose 2*f = -3*y + 27, -2*f + 4*f + 2*y - 26 = 0. What is the common denominator of 3/f - (-52)/(-20) and 222/(-20) + 4/(-4)?\n'

Answer: '20\n'


Question: 'Let y = -2048011/90 - -22756. What is the common denominator of y and 1/90?\n'

Answer: '90\n'


Question: 'Let j be 4/16*0 + 1. Let p = j + 7. Let l(b) = -b**2 + 8*b + 10. What is the least common multiple of 12 and l(p)?\n'

Answer: '60\n'


Question: 'Suppose -11*v = 10*v - 126. What is the lowest common multiple of (-10)/(-35) - 19/(-7) and v?\n'

Answer: '6\n'


Question: 'Let p = -54601/14 - -3903. Calculate the common denominator of 77/10 and p.\n'

Answer: '70\n'


Question: 'Let i be 60/9*(-6)/(-5). Let z be ((-280)/15)/((-5)/(-15)). Find the common denominator of -81/22 and ((-14)/z)/(i/202).\n'

Answer: '176\n'


Question: 'Let b(a) = -a**3 + 7*a**2 + a + 17. Calculate the least common multiple of b(7) and 594.\n'

Answer: '2376\n'


Question: 'Let x be (-5)/(-10) + (-2)/4. Find the common denominator of -2 - 1/(44/(-146)) and (-2)/((-120)/(-9) + x).\n'

Answer: '220\n'


Question: 'Suppose 5*y = -n + 17, -4*y + 25 - 5 = 4*n. Find the common denominator of (-74)/1*y/(-54) and 5/4.\n'

Answer: '36\n'


Question: 'Let q = 26793491/1170 - 114504/5. Calculate the common denominator of -19/286 and q.\n'

Answer: '2574\n'


Question: 'Let a be (-2 + 6 - -2253) + -3. Let i be (77/a)/(2/(-302)). Let n = i - 4/483. Find the common denominator of 14/5 and n.\n'

Answer: '30\n'


Question: 'Let r be 2 - (3*98 + 0). Let p be (-10)/25*-1 + 16267/(-55). Let l = r - p. What is the common denominator of l and -34/7?\n'

Answer: '77\n'


Question: 'Let c = -645 - 630. Let j = c - -7535/6. What is the common denominator of j and 35/6?\n'

Answer: '6\n'


Question: 'Let z = -549 + 576. Calculate the smallest common multiple of 4 and z.\n'

Answer: '108\n'


Question: 'Let m be (-1)/(412/136 - 3). Let w = m + 18. Let r = 22 + w. Calculate the lowest common multiple of r and 18.\n'

Answer: '18\n'


Question: 'Let l be ((-93 - 3) + -1)*8. Let b = l + 3893/5. Calculate the common denominator of (-3*1)/((-81)/(-60)) and b.\n'

Answer: '45\n'


Question: 'Let o be (-72)/(-4) + -5 + 2. Calculate the smallest common multiple of (14/(-21))/((-2)/o) and 1.\n'

Answer: '5\n'


Question: 'Let a(h) = -9*h + 5. Let d be a(1). Let r = 9 + d. What is the least common multiple of r and 17?\n'

Answer: '85\n'


Question: 'Let n be 9/6*140/21. Suppose -b + n = b. What is the smallest common multiple of 18 and b?\n'

Answer: '90\n'


Question: 'Let w = -520 + 523. What is the smallest common multiple of w and 273?\n'

Answer: '273\n'


Question: 'Find the common denominator of -16/15 and (-2206)/240 + 16/40 - -4.\n'

Answer: '120\n'


Question: 'Let k = 430 + -4333/10. Calculate the common denominator of 113/90 and k.\n'

Answer: '90\n'


Question: 'Let z = -6353 + 76139/12. Calculate the common denominator of z and (-8)/12 + (-422)/96.\n'

Answer: '48\n'


Question: 'Let i = 2/34173 + -3041533/2323764. Calculate the common denominator of -35/18 and i.\n'

Answer: '612\n'


Question: 'Let x(i) = -2*i + 43. Let z be x(18). Suppose -99 = -5*n - y, z*n - 4*y - 44 = 5*n. What is the least common multiple of n and 20?\n'

Answer: '20\n'


Question: 'Let f = -40/11 - 34/33. Find the common denominator of f and 53/21.\n'

Answer: '21\n'


Question: 'Suppose 8 = -4*c, -g + 2*g + 14 = -4*c. Let u(s) = -73*s**2 - 9. Let a be u(3). Calculate the common denominator of g and (1/3)/((-2724)/a - 4).\n'

Answer: '10\n'


Question: 'Suppose 2*c - 2*f + 32 = 0, 0 = -4*c + 5*f - 41 - 21. Let v = 327 - 929/3. Find the common denominator of v and c/(-16)*(-114)/18.\n'

Answer: '24\n'


Question: 'Suppose 4*f - 1386 = -3*w - 80, f + 4*w - 320 = 0. Let z = 14163/2450 - -6/1225. What is the common denominator of z and (3 - f/108)/2?\n'

Answer: '378\n'


Question: 'Let w be (2 - (-52653)/(-117610)) + -1. Let q = w - -1/3095. What is the common denominator of q and -1 + -3 - (7 + 495/(-10))?\n'

Answer: '38\n'


Question: 'Let d(j) = 2*j**2 - 2*j + 16. Let u be d(7). Suppose 0 = 5*t - 10*t + u. Suppose t = -c + 6*c. What is the smallest common multiple of c and 7?\n'

Answer: '28\n'


Question: 'Let z be 7 - (-2 - (3 - 2)). What is the lowest common multiple of 33 and (-36)/z*(-7)/((-105)/(-25))?\n'

Answer: '66\n'


Question: 'Let m = 71079/26 - 2730. Let a = -1724 - -13827/8. What is the common denominator of a and m?\n'

Answer: '104\n'


Question: 'Let s(l) = -l**2 + 21*l + 22. Let v be s(22). Suppose v = 4*f - 2*f - 64. Calculate the smallest common multiple of f and (2/(-4))/(4/(-80)).\n'

Answer: '160\n'


Question: 'Suppose 86*h + 40 = 84*h. Calculate the lowest common multiple of ((-98)/4)/(10/h) and 7.\n'

Answer: '49\n'


Question: 'Let i = -18/91 + -3477/364. What is the common denominator of 41/20 and i?\n'

Answer: '20\n'


Question: 'Let i = -640148/93 - -6884. Calculate the common denominator of 49/9 and i.\n'

Answer: '279\n'


Question: 'Let v(u) = u**3 - 18*u**2 + 19*u + 10. Let z be v(13). What is the common denominator of -67/8 and (((-2)/1)/10)/(z/9940)?\n'

Answer: '168\n'


Question: 'Calculate the common denominator of (-4)/1*255/72 and -17/36.\n'

Answer: '36\n'


Question: 'Let n = 20 + 20. Suppose 2*v - 1 = w + 4, 3*w + 5*v = n. Calculate the smallest common multiple of (22/(-6))/(w/(-15)) and 6.\n'

Answer: '66\n'


Question: 'Suppose -z = -d - 278, 5*z = -d + 1123 + 273. What is the common denominator of z/(-30) + (1 - 2) and 103/18?\n'

Answer: '90\n'


Question: 'Let j(d) = -d**2 - d. Let v(m) = -m**3 + 14*m**2 - 7*m + 8. Let l(y) = 3*j(y) + v(y). Let r be l(9). What is the common denominator of 25/18 and r/6 - 3/(-6)?\n'

Answer: '18\n'


Question: 'Suppose -2*s - 2*s = 5*f - 5, -4*f = -4*s - 40. Suppose -i + 40 = -f*i. Let r = i + 20. Calculate the lowest common multiple of r and 1.\n'

Answer: '10\n'


Question: 'Let l = 15 - 3. Suppose -3*w + 43 = 5*o, 13 = w + 5*o - 18. Calculate the least common multiple of l and w.\n'

Answer: '12\n'


Question: 'Suppose -2*l = 2*l + 24. Let i = -23818/2463 - -3/821. Find the common denominator of i and (-141)/20 + l/30.\n'

Answer: '12\n'


Question: 'Let w = 11325/22372 + -71/119. Calculate the common denominator of w and 42/5.\n'

Answer: '940\n'


Question: 'Let j be (45/12)/((-3)/(-12)). Suppose -3*r - 5 = h, -h + 3*r + j = 2*r. Calculate the lowest common multiple of (3/(-2))/(54/(-144)) and h.\n'

Answer: '20\n'


Question: 'Suppose x - 18 = -19. What is the common denominator of 1281/(-98)*x/6 and 83/2?\n'

Answer: '28\n'


Question: 'Let a = 4311 + -43037/10. Suppose -5*c + 198 = -4*x, 108 = -c + 4*c + 3*x. What is the common denominator of c and a?\n'

Answer: '10\n'


Question: 'Let a = -4031 - -36325/9. Calculate the common denominator of (-70)/333 + (-6)/27 and a.\n'

Answer: '333\n'


Question: 'Let x be 818233/(-20280) - (-4)/30. Let y = x + 553/13. Find the common denominator of 5/(-100) - (1 - 1) and y.\n'

Answer: '40\n'


Question: 'Suppose 2*x - 366 - 974 = 0. Let f = 372 - x. Calculate the common denominator of -40/3 and f/78 - (-16)/24.\n'

Answer: '39\n'


Question: 'Let s = -4192 + 4216. Suppose -52 = -4*i + 8. Calculate the lowest common multiple of s and i.\n'

Answer: '120\n'


Question: 'What is the lowest common multiple of (-1 - (-25)/35)/((-1)/35) and 260?\n'

Answer: '260\n'


Question: 'Let u = -12835 - -308125/24. Find the common denominator of u and ((-26)/(-260))/(24/910).\n'

Answer: '24\n'


Question: 'Find the common denominator of (-15)/(-20)*(-194)/(-15) and ((-4)/3)/4*(-1044)/8.\n'

Answer: '10\n'


Question: 'Suppose -44 + 12 = -2*m. Suppose 0 = 3*o + 4*k + k - 38, -4*k + m = 0. Let z = 5 - -5. Calculate the smallest common multiple of z and o.\n'

Answer: '30\n'


Question: 'Let p be (18/6)/(6/(-4)). Find the common denominator of -443*p/(-144) + 34/(-153) and -35/11.\n'

Answer: '88\n'


Question: 'Let q = -929297/28 + 33185. Calculate the common denominator of -173/42 and q.\n'

Answer: '84\n'


Question: 'Calculate the least common multiple of 13 and (-3 + 2)/((-37)/4329).\n'

Answer: '117\n'


Question: 'Let r = -9/4229 - 410015/93038. Let j = 67/4 - 19/2. Find the common denominator of r and j.\n'

Answer: '44\n'


Question: 'Let d be (1*1/1)/1 + -1. Calculate the least common multiple of 4 and (0 - 24)*((-3)/9 + d).\n'

Answer: '8\n'


Question: 'Let i = 29 + -4. Suppose 5*n - 4*n = i. Let k = n + -11. What is the least common multiple of k and 18?\n'

Answer: '126\n'


Question: 'Suppose 0 = 2*m + 2*n - 92, 4*n = m - 22 - 14. Suppose 2*s = -2*s + m. Let c = -6 + s. Calculate the least common multiple of c and 3.\n'

Answer: '15\n'


Question: 'Let u = -2/1403 + -43481/8418. Let r = -10628 - -5099. Let p = r + 121667/22. Find the common denominator of p and u.\n'

Answer: '66\n'


Question: 'Suppose -5*w = 10, w + 3*w = -s. Calculate the least common multiple of s and -4 + 1 - (-22 - 1).\n'

Answer: '40\n'


Question: 'Let g = 21269/7 + -3046. Find the common denominator of (-8)/(-20)*4247/1116 and g.\n'

Answer: '630\n'


Question: 'Suppose 18*l = 13*l - 5. Suppose -94 = 4*c - 5*w + 708, 2*w + 788 = -4*c. What is the common denominator of l and (102/c)/((-2)/6)?\n'

Answer: '11\n'


Question: 'Let q(v) be the third derivative of v**4/24 + 4*v**3/3 - v**2. Suppose -3*y = -y - 36. Calculate the smallest common multiple of q(6) and y.\n'

Answer: '126\n'


Question: 'Suppose 3*h - 12 - 51 = 0. What is the lowest common multiple of -16 + (16 - 0) - -9 and h?\n'

Answer: '63\n'


Question: 'Let t(p) = 5 + 1 - 6 + 6*p. Let l be t(6). Calculate the smallest common multiple of l/(-9) - (0 + -11) and 5.\n'

Answer: '35\n'


Question: 'Let c = -2711/8 - -2375/7. Let r(j) = 457*j + 3. Let w be r(6). Calculate the common denominator of (-8)/(-52) + w/(-858) + 0 and c.\n'

Answer: '616\n'


Question: 'Let d = 4/1325 - 75589/21200. Find the common denominator of d and (-1)/(-7)*(-27)/(-2).\n'

Answer: '112\n'


Question: 'Let q(z) = z**3 - 2*z**2 - 6*z + 6. Let l be q(4). Let w = l - 14. Suppose 3*i - 3 = -3*n + 18, w = -5*n - 15. What is the smallest common multiple of i and 2?\n'

Answer: '10\n'


Question: 'Let t(l) = -2*l + 220. Calculate the lowest common multiple of t(-55) and 297.\n'

Answer: '2970\n'


Question: 'Suppose z = -3*u + 4*z + 33, 4*u - 40 = 2*z. Calculate the smallest common multiple of u and 96/56 - 2 - (-317)/7.\n'

Answer: '45\n'


Question: 'Suppose 0 = 7*i - 1699 - 457. Suppose 9*p - i = -29. What is the least common multiple of 5 and p?\n'

Answer: '155\n'


Question: 'Let w(m) = 4*m - 126. Let z be w(30). Let g be (-2)/(-5) - 206/(-10). What is the common denominator of (-711)/(-84) - z/g and -61/4?\n'

Answer: '4\n'


Question: 'Let k(c) = c**3 + 2*c**2 - 14*c - 14. Suppose -2*w + 5 = -7. Calculate the lowest common multiple of w and k(-4).\n'

Answer: '30\n'


Question: 'Suppose l = -4*l + 30. Let y be (l/(-4))/((-21)/28). Let q(c) = 7*c. What is the least common multiple of q(y) and 16?\n'

Answer: '112\n'


Question: 'Let w = -591029/24 + 24622. Find the common denominator of -65/87 and w.\n'

Answer: '696\n'


Question: 'Let v = -571/8148 + -126/97. What is the common denominator of -47/9 and v?\n'

Answer: '252\n'


Question: 'Suppose 3*b + 3*d - 72 = -2*b, -b + 28 = 4*d. Calculate the smallest common multiple of b and (-7)/(-3)*(-261)/(-609).\n'

Answer: '12\n'


Question: 'Find the common denominator of (-2)/(-3) - 86/(-54) and ((-427)/(-126) - 4)/(4/(-80)*6).\n'

Answer: '27\n'


Question: 'Let s be 18/(-27)*6/(-7162). Let u = -164740/25067 + s. Let y = u - -645/112. Calculate the common denominator of y and -21/10.\n'

Answer: '80\n'


Question: 'Let o = 69 + -44. Let f = -21 + o. What is the smallest common multiple of 16 and f?\n'

Answer: '16\n'


Question: 'Let f = 2641/10 - 262. Calculate the common denominator of -3 - (29*1)/(272/(-32)) and f.\n'

Answer: '170\n'


Question: 'Let b = -4 + 8. Suppose 4*n = -2*x + x + 40, -b*n + 24 = 5*x. Let v = n - 9. Calculate the smallest common multiple of 4 and v.\n'

Answer: '4\n'


Question: 'Let h(w) = 9*w - 64. Let g be h(10). Suppose -3*o + a = -4 - 4, g = o - 5*a. Calculate the smallest common multiple of o and 9/2*(-4)/(-6).\n'

Answer: '3\n'


Question: 'Let n = -80311/232 - -2765/8. Find the common denominator of 89/12 and n.\n'

Answer: '348\n'


Question: 'Let a(m) = m**3 + 7*m**2 + 2. Suppose 14*o + 14 = 12*o. Calculate the least common multiple of a(o) and 56.\n'

Answer: '56\n'


Question: 'Let q be 1 - 566/2*244/(-28). Let w = q - 2461. Calculate the common denominator of -12/11 and w.\n'

Answer: '77\n'


Question: 'Let k = -2 + 4. Let g = 18 - 15. Let n(i) = -i**3 + 4*i**2 - i - 4. What is the lowest common multiple of n(g) and k?\n'

Answer: '2\n'


Question: 'Let y(t) = -2*t**3 + 20*t**2 - 19*t + 15. What is the least common multiple of y(9) and (-11)/(-2 - (-15)/9)?\n'

Answer: '66\n'


Question: 'Let y be (-1870)/(-484)*48/5. Let g = y + -1135/22. What is the common denominator of g and 5/3?\n'

Answer: '6\n'


Question: 'Let w be (-3)/(1 + 200217/(-200175)). Let m = -14291 + w. Calculate the common denominator of -5/6 and m.\n'

Answer: '42\n'


Question: 'Let t = -9820 + 9850. Let r = -36562/271 + 14993077/130893. Let l = 6/161 + r. What is the common denominator of t and l?\n'

Answer: '3\n'


Question: 'What is the common denominator of (6 + 203/(-35))/((-1)/11) and -31*(0 - 1/3)?\n'

Answer: '15\n'


Question: 'Suppose 4*n = 8, f + 910 = -f - 4*n. Let j = -183 - f. What is the common denominator of -71/6 and -4 + (-3 - j/16)?\n'

Answer: '12\n'


Question: 'Let p be (-4080)/(-2041) - (-1 + 3). Let l = 140857/28574 + p. What is the common denominator of ((-3)/21)/((-810)/41265) and l?\n'

Answer: '126\n'


Question: 'Let f = 5604 + -3709. Let q = 5630/3 - f. Calculate the common denominator of -13/8 and q.\n'

Answer: '24\n'


Question: 'Suppose 5*v - 4*l = 55, v - 2*l - 7 = 10. Let w = 13 - 14. What is the smallest common multiple of v and w - 1*9/(-3)?\n'

Answer: '14\n'


Question: 'Let g be ((-28)/(-49))/((-2)/(-7)). Suppose -i - g*y + 31 = 5, 3*y = -i + 29. Calculate the least common multiple of i and 12.\n'

Answer: '60\n'


Question: 'Suppose -5*o - 3 = -78. Let x = 1628 - 1595. Calculate the least common multiple of o and x.\n'

Answer: '165\n'


Question: 'Let n be (1 - 2)*(-9)/1. Let t = n + 3. Calculate the lowest common multiple of t and 27.\n'

Answer: '108\n'


Question: 'Suppose 207 = -3*t + 6*t. Suppose -5*r + 3*m = -t, 2*r = 3*r - 4*m - 24. Suppose 0 = 2*p - 0*p - r. What is the lowest common multiple of 20 and p?\n'

Answer: '60\n'


Question: 'Let r be (-2)/(-7) + (-40295)/(-280)*6. Let k = r + -878. What is the common denominator of 21/13 and k?\n'

Answer: '52\n'


Question: 'Suppose 0*r - 4*x = r + 8, 2*r = -2*x - 16. Calculate the common denominator of 53/11 and ((-4)/r)/(50/16 - 0).\n'

Answer: '275\n'


Question: 'Suppose 2*k - 786 = -762. Calculate the smallest common multiple of 48 and k.\n'

Answer: '48\n'


Question: 'Let m = 93622 - 9362101/100. Calculate the common denominator of 63/40 and m.\n'

Answer: '200\n'


Question: 'Suppose -3*z - 2*l + 19735 = 0, l - 32887 = z - 6*z. Let i = -39343/6 + z. Find the common denominator of -73/3 and i.\n'

Answer: '6\n'


Question: 'Let s = 18 + -8. Suppose 0 = 4*b - 2*r - 10, 7*r = -b + 2*r - 14. Let g = b + 11. Calculate the lowest common multiple of s and g.\n'

Answer: '60\n'


Question: 'Let k = 1401 + -16849/12. Let w = 7522/3 + -2529. Find the common denominator of w and k.\n'

Answer: '12\n'


Question: 'Suppose 2*c - 18 = -5*f, 3*f + 6 = 3*c - 0. What is the smallest common multiple of f and 10?\n'

Answer: '10\n'


Question: 'What is the common denominator of (2/(-4))/(1120/228 + -5) and 1/3 - 281/24?\n'

Answer: '40\n'


Question: 'Suppose -234 = 5*i + 3*y, 0*i + 210 = -5*i + 5*y. Let w be (3529/(-2))/(i/(-10)). Let a = w - -400. What is the common denominator of a and -23/5?\n'

Answer: '45\n'


Question: 'Suppose -2*l - 19 = -3*s, -l - 3*l = -2*s + 26. What is the common denominator of 1/6*(-68)/s and (-1)/(-4) - (-34)/8?\n'

Answer: '18\n'


Question: 'What is the common denominator of ((-7)/4)/((-132)/(-16)) and 0 - 3 - 1248/(-396)?\n'

Answer: '33\n'


Question: 'Let l = 2/1923 + 19865/5769. Calculate the common denominator of l and 763/(-22) - (-8)/44.\n'

Answer: '18\n'


Question: 'Let x(c) = -c + 1. Let k(g) = -5*g + 10. Let v(b) = k(b) - 6*x(b). Let l be v(0). Calculate the least common multiple of 1 and -2*3*l/(-8).\n'

Answer: '3\n'


Question: 'Suppose -130*l = -154*l + 5088. Calculate the smallest common multiple of 11 and l.\n'

Answer: '2332\n'


Question: 'Suppose 5 = 5*g - 15. Suppose 4*a + 0*x = g*x + 88, 0 = 3*a + 4*x - 38. Find the common denominator of -68/9 and 89/a + 3/(-6).\n'

Answer: '9\n'


Question: 'Let l(p) = p**2 - 12*p + 9. Let x be l(11). Let v be (16/(-24))/(x/(-6)). Let j = 20 - v. What is the smallest common multiple of 14 and j?\n'

Answer: '154\n'


Question: 'Let w = -197853/14 - -14126. Find the common denominator of w and 92/(-6) - (29 - 34).\n'

Answer: '42\n'


Question: 'Suppose n + 0*r + 2*r = -2, -2*n - r = -8. What is the least common multiple of 40 and n?\n'

Answer: '120\n'


Question: 'Suppose -447 - 2073 = -70*l. What is the smallest common multiple of l and 24?\n'

Answer: '72\n'


Question: 'Let i be (-116)/(-10) + (-8)/(-20). Let y = 29 + -21. Let b = i - y. Calculate the smallest common multiple of b and 12.\n'

Answer: '12\n'


Question: 'Let n = -618151/305240 + 1/7631. What is the common denominator of -67/50 and n?\n'

Answer: '200\n'


Question: 'Let l = 65731/22 + -2984. Find the common denominator of l and -127/54.\n'

Answer: '594\n'


Question: 'Calculate the common denominator of 39/20 and -5 + (-490)/(-128) + 1.\n'

Answer: '320\n'


Question: 'Suppose 3*i + y = 105, 0 = -9*i + 4*i - 3*y + 179. Calculate the smallest common multiple of i and 13.\n'

Answer: '442\n'


Question: 'Let b = 73718/11 - 6702. Calculate the common denominator of b and (8/30)/(2/33).\n'

Answer: '55\n'


Question: 'Suppose -3*j + l + 11 = 2*l, 2*j - 4*l = 12. Let i = -72 - -75. Suppose -j*v = -x - 2, i*v + 2 = x + 3. Calculate the smallest common multiple of 2 and x.\n'

Answer: '2\n'


Question: 'Suppose 2627 = 66*z + 515. Suppose -14 - 22 = -2*o. Calculate the least common multiple of z and o.\n'

Answer: '288\n'


Question: 'Let r be 8/(-28) - 37*(-3)/21. Suppose d + 2*k - 2 = -8, 0 = r*d - 5*k - 45. What is the least common multiple of 4 and d?\n'

Answer: '4\n'


Question: 'Suppose 2*r - 45 = -5*n - 20, -3*n - 2*r + 15 = 0. Suppose 5*k - 98 = -2*i - 14, -i = -n*k + 78. Calculate the least common multiple of k and 3*66/9 - 2.\n'

Answer: '80\n'


Question: 'Let d = 11992 - 7552. What is the lowest common multiple of 6 and d?\n'

Answer: '4440\n'


Question: 'Let f = -27 + 21. What is the least common multiple of (-56)/(-6) - (-6)/9 and (-9)/f - (-60)/8?\n'

Answer: '90\n'


Question: 'Suppose -3*i + z - 159 = 0, 2*z - 4*z = -5*i - 264. Find the common denominator of -41/33 and (-7)/(-3) - 3/(i/4).\n'

Answer: '99\n'


Question: 'Suppose 2*d = -5*h + 14, 2 - 10 = -3*h - d. Suppose -h*w = -3 - 13. Suppose 5*z + w - 63 = 0. Calculate the smallest common multiple of 6 and z.\n'

Answer: '66\n'


Question: 'Let g = -48676 + 34449. Let l = g + 8909. Let f = l - -95869/18. What is the common denominator of 91/20 and f?\n'

Answer: '180\n'


Question: 'Let k = -11998 + 1139859/95. Let h = 367899/10 + -36778. Calculate the common denominator of h and k.\n'

Answer: '190\n'


Question: 'Let d be ((-3)/(-5))/((-4045)/675 - -6). Suppose -d*r + 82*r = 48. Calculate the least common multiple of 30 and r.\n'

Answer: '240\n'


Question: 'Suppose -5*a + 4*x = 34 - 150, -x + 73 = 3*a. Calculate the least common multiple of 2 and a.\n'

Answer: '24\n'


Question: 'Let f = -20/421 - 740479/1263. Let d = f - -600. Find the common denominator of d and (2/12)/((-8)/880).\n'

Answer: '3\n'


Question: 'Find the common denominator of 52/(-34)*3/(-4) and (-3)/(-8) - 0 - (-107694)/(-18528).\n'

Answer: '272\n'


Question: 'Let k = -36 + 33. Let x be 4 - (-1 - k) - 0. Suppose q - 4 = x. Calculate the lowest common multiple of 2 and q.\n'

Answer: '6\n'


Question: 'Let w(z) = 2*z**2 - 2*z - 4. What is the lowest common multiple of w(4) and (-156)/91*(-252)/8?\n'

Answer: '540\n'


Question: 'Calculate the common denominator of 40/69 and ((-29)/6)/1*2.\n'

Answer: '69\n'


Question: 'Let f = -728/5 - -37551/260. Find the common denominator of f and 27/88.\n'

Answer: '1144\n'


Question: 'Let w = -4 + 5. Suppose 2*t + 3*k = 4, -5*k + 0*k + 5 = 3*t. Calculate the least common multiple of w and t.\n'

Answer: '5\n'


Question: 'Suppose 4*l - 65 = -l. Let h = 4 - 1. What is the lowest common multiple of l and h?\n'

Answer: '39\n'


Question: 'Let a = -590 - -1099/2. What is the common denominator of a and 76/9?\n'

Answer: '18\n'


Question: 'Let r = 13705/2826 + -20/157. Let m = -11005/6 - -1848. Calculate the common denominator of m and r.\n'

Answer: '18\n'


Question: 'Suppose 0 = s - 27 + 175. Let p = s + 165. What is the smallest common multiple of 8 and p?\n'

Answer: '136\n'


Question: 'Let r(l) = -l**3 - 5*l**2 + l + 6. Let v be r(-5). Suppose -v = -0*z - z. Let n(t) = 454*t + 1373. What is the lowest common multiple of z and n(-3)?\n'

Answer: '11\n'


Question: 'Let p be (-1 - 1)/(84/(-13050)). Let x = -310 + p. Find the common denominator of x and -49/3.\n'

Answer: '21\n'


Question: 'Let n(p) = -2*p**2 - 37*p - 3. Calculate the least common multiple of n(-17) and 48.\n'

Answer: '48\n'


Question: 'Suppose -g + 52 - 7 = 0. Let h = g - 34. Calculate the smallest common multiple of h and 5.\n'

Answer: '55\n'


Question: 'Let a be -291 + (0 - (-3 + 3)). Let h be -1*(14 + (-2)/(-2)). Find the common denominator of -73/6 and a/(-330) - (-3)/h.\n'

Answer: '66\n'


Question: 'Let h = -132 + 144. Calculate the lowest common multiple of 39 and h.\n'

Answer: '156\n'


Question: 'Let i = 15029 + -180227/12. Calculate the common denominator of i and 17/27.\n'

Answer: '108\n'


Question: 'Suppose -50 = -89*o + 662. Calculate the smallest common multiple of o and 212.\n'

Answer: '424\n'


Question: 'Let j = -2 - -7. Suppose 5*i - 2*x - 243 = 0, 0 = -j*i + x + 223 + 16. Let l = 2807/803 + -76/73. Calculate the common denominator of i and l.\n'

Answer: '11\n'


Question: 'Let j be (-2 - -3)*1/(-43). Let r = 2890/387 + j. What is the common denominator of r and ((3/12)/(-1))/(132/240)?\n'

Answer: '99\n'


Question: 'What is the common denominator of -53*2/(-90)*-5 and 0 + (124/(-20) - -2)?\n'

Answer: '45\n'


Question: 'Suppose 5*t + 3 - 1 = p, -p - 2*t = -9. Find the common denominator of 18/33*(-58)/(-8) and (28/(-40))/p*-109.\n'

Answer: '110\n'


Question: 'Let z be (8/(-32))/((21042/(-8))/(-3)). Let g = z - 52582/80661. What is the common denominator of g and -63/8?\n'

Answer: '184\n'


Question: 'Let u = -9/130985 - 2575819953/1047880. Let a = 2449 + u. What is the common denominator of a and -5/22?\n'

Answer: '88\n'


Question: 'Find the common denominator of (-4)/20 - 2/((-3840)/1304) and -37/12.\n'

Answer: '48\n'


Question: 'Let n = 173522/138099 + -1/10623. What is the common denominator of n and (-436)/(-40) + 0/1?\n'

Answer: '390\n'


Question: 'Let p = -592 - -2399/4. Let s(h) = 18*h - 4. Let x be s(2). What is the common denominator of (-6)/9*(-366)/x and p?\n'

Answer: '8\n'


Question: 'Let j = 391/10 + 2/5. Calculate the common denominator of j and 2/13.\n'

Answer: '26\n'


Question: 'Let x = -11/35 + 253/70. Let b = 538 - 10763/20. Find the common denominator of b and x.\n'

Answer: '20\n'