Question: 'Let 41*c**2 + 68*c**4 + 18*c**3 - 8*c**2 - 95*c**4 - 12 - 12*c = 0. What is c?\n'

Answer: '-2/3, 1\n'


Question: 'Let q(d) be the first derivative of -d**4/34 + 2*d**3/51 + 6*d**2/17 - 591. Factor q(g).\n'

Answer: '-2*g*(g - 3)*(g + 2)/17\n'


Question: 'Determine b so that 1/4*b**2 - 3/2 + 1/4*b = 0.\n'

Answer: '-3, 2\n'


Question: 'Let n be ((-7)/(-420)*-1)/((-18)/75). Let f(c) be the third derivative of 0*c + 1/90*c**5 - n*c**4 + 4*c**2 + 0 - 1/6*c**3. Factor f(h).\n'

Answer: '(h - 3)*(2*h + 1)/3\n'


Question: 'Suppose d - 6 = -d, -d + 93 = 5*v. Suppose f = x - 2*x + v, -3*x + 4*f + 68 = 0. Factor 8*q - 4/5 - x*q**2.\n'

Answer: '-4*(5*q - 1)**2/5\n'


Question: 'Let p(l) be the second derivative of -1/72*l**4 - 9*l + 0*l**3 + 0 + 1/3*l**2. Solve p(i) = 0 for i.\n'

Answer: '-2, 2\n'


Question: 'Let f(w) be the second derivative of -w**4/12 - 23*w**3/3 - 529*w**2/2 + 25*w. Factor f(u).\n'

Answer: '-(u + 23)**2\n'


Question: 'Factor -9*p - 8*p**3 + 64*p - 6*p**2 - 4*p**3 - 23*p + 24 + 2*p**4.\n'

Answer: '2*(p - 6)*(p - 2)*(p + 1)**2\n'


Question: 'Suppose 0 = -0*d - 11*d + 33. Suppose 3*m - 12 = -d. Determine y, given that 0 + 0*y**m - 2/5*y**4 + 4/5*y + 6/5*y**2 = 0.\n'

Answer: '-1, 0, 2\n'


Question: 'Factor -1/5*d**5 + 0*d**2 + 0*d + 0 - 3/5*d**3 + 4/5*d**4.\n'

Answer: '-d**3*(d - 3)*(d - 1)/5\n'


Question: 'Suppose 14*q - 10*q - 8 = 0. Find o, given that 1/7*o + 0*o**q + 0 - 1/7*o**3 = 0.\n'

Answer: '-1, 0, 1\n'


Question: 'Let n be (0 - 3/(-11))/(129/172). Find i, given that -14/11*i - n*i**2 - 8/11 + 2/11*i**3 = 0.\n'

Answer: '-1, 4\n'


Question: 'Suppose m + 3 = 0, -4*x + 4*m = 3*m - 3. Determine r so that x + 1/7*r**3 + 0*r - 1/7*r**2 = 0.\n'

Answer: '0, 1\n'


Question: 'Let c be 16 + -29 - 74/(-3). Factor 20/3 + 5/2*l**2 - c*l.\n'

Answer: '5*(l - 4)*(3*l - 2)/6\n'


Question: 'Let s(b) be the third derivative of 0*b + 3/20*b**6 + 1/168*b**8 + 3*b**2 - 7/30*b**5 + 1/6*b**4 - 1/21*b**7 + 0*b**3 + 0. Determine y so that s(y) = 0.\n'

Answer: '0, 1, 2\n'


Question: 'Suppose -14*p = -33*p + 57. Factor -13*g + 5*g**4 + 0*g**4 + 73*g - 60*g**p + 175*g**2 - 180.\n'

Answer: '5*(g - 6)**2*(g - 1)*(g + 1)\n'


Question: 'What is g in 4/5*g**4 + 68/5*g**3 + 160 + 168/5*g**2 - 208*g = 0?\n'

Answer: '-10, 1, 2\n'


Question: 'Let c(j) be the second derivative of -2*j**5/5 + 5*j**4/3 + 46*j**3/3 + 20*j**2 + j + 27. Solve c(l) = 0.\n'

Answer: '-2, -1/2, 5\n'


Question: 'Let d = -56871/7 - -8125. Factor 20/7 + d*o**2 + 24/7*o.\n'

Answer: '4*(o + 1)*(o + 5)/7\n'


Question: 'Let t(n) = 86*n + 346. Let m be t(-4). Factor 0 - 1/4*x - 1/4*x**m.\n'

Answer: '-x*(x + 1)/4\n'


Question: 'Suppose -3*p - 29 = -2*r, -3*r + 3*p = -18 - 21. Let m = 8 + r. Factor m*c - 2*c**2 - c**2 - 13*c - 8*c + 6.\n'

Answer: '-3*(c - 1)*(c + 2)\n'


Question: 'Let j(i) be the first derivative of i**3/4 - 33*i**2/8 - 63*i/2 + 591. What is g in j(g) = 0?\n'

Answer: '-3, 14\n'


Question: 'Let k(f) = -8*f**4 + 17*f**3 - 53*f + 48. Let a(x) = -48 + 7*x**4 - 8*x**2 + 52*x - 16*x**3 - 4*x**2 + 12*x**2. Let v(y) = 5*a(y) + 4*k(y). Factor v(c).\n'

Answer: '3*(c - 2)**3*(c + 2)\n'


Question: 'Let b(f) be the second derivative of 0 + 0*f**2 + 4/3*f**3 + 42*f + 9/5*f**5 - 2/3*f**6 - 7/3*f**4 + 2/21*f**7. Solve b(r) = 0 for r.\n'

Answer: '0, 1, 2\n'


Question: 'Let a(o) = -o**2 + 12*o. Let j be a(12). Determine g so that 4 + 24*g**2 + 30*g**4 - 16*g**3 - 26*g**4 + j*g**2 - 16*g = 0.\n'

Answer: '1\n'


Question: 'Let n(h) be the second derivative of h**4 - 1/15*h**5 - 1/2*h**2 + 0 - 2*h - 6*h**3. Let v(w) be the first derivative of n(w). Find b, given that v(b) = 0.\n'

Answer: '3\n'


Question: 'Let c = 2623/6 + -437. Let d(v) be the first derivative of c*v**4 - 4 + 0*v + 0*v**2 - 2/3*v**3. Solve d(x) = 0.\n'

Answer: '0, 3\n'


Question: 'Let i be ((-8)/(-12))/((-2)/(-11)). Let w be ((-3)/(-4))/((-294)/(-56) - 3). Suppose i*y**3 + 1/3 - 3*y**2 + w*y - 4/3*y**4 = 0. What is y?\n'

Answer: '-1/4, 1\n'


Question: 'Suppose 8*j = 3*j + 295. Suppose 0 = 4*y + 5*q - 0*q - j, -5*q = 5. Factor -18*m**2 - 4 + 0 - 6*m + y*m**2.\n'

Answer: '-2*(m + 1)*(m + 2)\n'


Question: 'Determine d so that 3/2*d**5 - 39/2*d**4 - 60*d + 111/2*d**2 - 66 + 57/2*d**3 = 0.\n'

Answer: '-1, 2, 11\n'


Question: 'Let h(b) be the second derivative of -22*b - 9/100*b**5 + 1/50*b**6 + 0 - 3/5*b**2 + 3/10*b**3 + 1/20*b**4. Find f, given that h(f) = 0.\n'

Answer: '-1, 1, 2\n'


Question: 'Suppose -2*x - 81*y + 87*y - 8 = 0, x - 4*y = -7. Find n such that 11/2*n - 11/2*n**3 - x + 9/2*n**2 + 1/2*n**4 = 0.\n'

Answer: '-1, 1, 10\n'


Question: 'Let h be (3/(-2))/((-2)/7). Let d(w) be the first derivative of 9*w**3 + 6/5*w**5 + 3*w + 3 - h*w**4 - 15/2*w**2. Determine x, given that d(x) = 0.\n'

Answer: '1/2, 1\n'


Question: 'Determine t so that -24/7 - 4/7*t + 4/7*t**2 = 0.\n'

Answer: '-2, 3\n'


Question: 'Suppose 0 = 3*u + u - 108. Suppose 4*k + 20 = 0, -u = -5*c + 5*k + 8. Let 0 + 2/9*f**c + 8/9*f**3 + 0*f = 0. Calculate f.\n'

Answer: '-1/4, 0\n'


Question: 'Let p(w) = -55*w**2 + 120*w - 90. Let z(n) = -5*n**2 + 11*n - 8. Let v(u) = -4*p(u) + 45*z(u). Find t, given that v(t) = 0.\n'

Answer: '0, 3\n'


Question: 'What is p in -22/3*p**2 - 2/3*p**3 + 8/3*p + 88/3 = 0?\n'

Answer: '-11, -2, 2\n'


Question: 'Let w(g) be the third derivative of -g**6/180 - 4*g**5/45 - 5*g**4/9 - 16*g**3/9 - 92*g**2. Factor w(u).\n'

Answer: '-2*(u + 2)**2*(u + 4)/3\n'


Question: 'Let q(f) be the third derivative of 0*f**6 + 0*f**4 + 0*f**3 - 1/420*f**7 + 0 + 0*f - 5/1344*f**8 + 0*f**5 + 3*f**2. Factor q(s).\n'

Answer: '-s**4*(5*s + 2)/4\n'


Question: 'Let u(t) be the third derivative of 0*t + 0 - 1/2*t**3 - 1/80*t**5 + 5/32*t**4 - 11*t**2. Suppose u(c) = 0. Calculate c.\n'

Answer: '1, 4\n'


Question: 'Let v be (-3)/(-42) + (-123)/(-42). Find f such that 4/5*f - 6/5*f**2 + 2/5*f**v + 0 = 0.\n'

Answer: '0, 1, 2\n'


Question: 'Determine i so that 20/7*i**2 - 144/7 - 352/7*i = 0.\n'

Answer: '-2/5, 18\n'


Question: 'Factor 3/5*f**4 + 0*f + 0 - 18/5*f**3 + 3*f**2.\n'

Answer: '3*f**2*(f - 5)*(f - 1)/5\n'


Question: 'Let g(q) = 2*q**2 + 12*q + 8. Let c(b) = -2. Let z(p) = -4*c(p) - g(p). Factor z(r).\n'

Answer: '-2*r*(r + 6)\n'


Question: 'Suppose -122 = -2*n + 5*z, -4*z = n + n - 158. Factor -300 + 2*a**2 + n*a - 6*a**2 - 11*a + a**2.\n'

Answer: '-3*(a - 10)**2\n'


Question: 'Let x(n) = n**2 - n. Let m(s) = 25*s**2 - 15*s - 10. Let u be (2/(-3))/(6/(-9)). Let q(t) = u*m(t) - 20*x(t). What is l in q(l) = 0?\n'

Answer: '-2, 1\n'


Question: 'Let j be 4/3*(84/8)/7. Factor -21 + 34 - 17 + 4*b**j.\n'

Answer: '4*(b - 1)*(b + 1)\n'


Question: 'Solve 1/8*c**2 + 7/8*c + 0 = 0.\n'

Answer: '-7, 0\n'


Question: 'Let m(h) = h - 5. Let a be m(9). Find n such that 176/5*n**3 + 56*n**a + 20*n**5 + 0 + 32/5*n**2 + 0*n = 0.\n'

Answer: '-2, -2/5, 0\n'


Question: 'Let g(i) be the third derivative of -i**6/540 + i**5/270 + i**4/54 - 94*i**2. Let g(p) = 0. Calculate p.\n'

Answer: '-1, 0, 2\n'


Question: 'Suppose -5*y + 40 = 5*s, 788*y - 785*y - 20 = -2*s. Determine t so that -2/5*t**s - 6/5 + 8/5*t**2 - 4/5*t + 4/5*t**3 = 0.\n'

Answer: '-1, 1, 3\n'


Question: 'Let t be -18*(-24)/660*10/4. Factor 10/11*u**2 + 6/11*u - t + 2/11*u**3.\n'

Answer: '2*(u - 1)*(u + 3)**2/11\n'


Question: 'Let t = 8392 + -8389. Factor 17/2*i**3 - 10*i + 5/2*i**4 + t*i**2 - 4.\n'

Answer: '(i - 1)*(i + 2)**2*(5*i + 2)/2\n'


Question: 'Suppose 0 = -2*q + 2*q - 3*q. Let o(b) be the second derivative of q*b**4 + 1/6*b**3 + b - 1/20*b**5 + 0 + 0*b**2. Solve o(n) = 0 for n.\n'

Answer: '-1, 0, 1\n'


Question: 'Suppose 4*h + 5 - 5 + 275*h**4 - 276*h**4 - 3*h**3 = 0. What is h?\n'

Answer: '-2, 0, 1\n'


Question: 'Let v be (4/4)/((-4)/(-16)). Solve -11*a**3 + 5*a**v - 45*a**2 + 47*a - 72*a - 4*a**3 = 0.\n'

Answer: '-1, 0, 5\n'


Question: 'Factor 0 + 6/5*y**3 + 0*y**2 + 0*y + 3/5*y**4.\n'

Answer: '3*y**3*(y + 2)/5\n'


Question: 'Let v(w) be the second derivative of -w**7/280 - w**6/24 - 7*w**5/40 - 3*w**4/8 - w**3/3 + 9*w. Let m(i) be the second derivative of v(i). Factor m(q).\n'

Answer: '-3*(q + 1)**2*(q + 3)\n'


Question: 'Suppose -13*v + 448 = v. Suppose -q = 28 - v. Factor 0*t + 1/2*t**2 + 0 + 1/4*t**3 - 1/4*t**q.\n'

Answer: '-t**2*(t - 2)*(t + 1)/4\n'


Question: 'Let p(a) be the first derivative of -4*a**3/3 - 8*a**2 - 12*a + 368. Suppose p(h) = 0. What is h?\n'

Answer: '-3, -1\n'


Question: 'Let t(y) = -y**2 + 8*y - 2. Let i be t(6). Let n = 10 - i. Factor -v**3 - 2/5*v + 7/5*v**2 + n.\n'

Answer: '-v*(v - 1)*(5*v - 2)/5\n'


Question: 'Let v(o) = -o**2 + 8*o + 2. Let x(f) = f**2 - 2*f + 1. Let u(j) = -v(j) - 2*x(j). Factor u(k).\n'

Answer: '-(k + 2)**2\n'


Question: 'Let l be (2 + (-3)/(-6))*48. Suppose 32 - 10*f**3 + l*f + 30*f**3 + 4*f**2 + 104*f**2 = 0. Calculate f.\n'

Answer: '-4, -1, -2/5\n'


Question: 'Let n(r) = -33*r - 162. Let l be n(-5). Let q(m) be the first derivative of -1/24*m**4 - 3 - 1/18*m**l + 0*m**2 + 0*m. Factor q(k).\n'

Answer: '-k**2*(k + 1)/6\n'


Question: 'Let a be 2 - 282/(-36)*-1. Let g = -103/30 - a. Factor 0*o + 0 + g*o**3 - 8/5*o**2 + 4*o**4.\n'

Answer: '4*o**2*(o + 1)*(5*o - 2)/5\n'


Question: 'Let h(u) be the second derivative of u**5/65 - u**4/78 + 55*u. Determine w, given that h(w) = 0.\n'

Answer: '0, 1/2\n'


Question: 'Let s(p) = -3*p**2 + 48*p + 39. Let d(y) = -2*y**2 + 47*y + 39. Let z(i) = 6*d(i) - 5*s(i). Factor z(h).\n'

Answer: '3*(h + 1)*(h + 13)\n'


Question: 'Let d(u) = 3*u**2 + 45*u - 1089. Let b be d(13). Determine t, given that 4/3*t**4 - 4/3*t**2 + 0 + 0*t**b + 2/3*t - 2/3*t**5 = 0.\n'

Answer: '-1, 0, 1\n'


Question: 'Factor -400 + 0*d**2 - 120*d - d**2 - 4*d**2 + 0*d**2.\n'

Answer: '-5*(d + 4)*(d + 20)\n'


Question: 'Determine o so that -84*o**3 - 377/4*o**2 + 441/4 - 16*o**4 + 84*o = 0.\n'

Answer: '-21/8, -1, 1\n'


Question: 'Let k(b) be the second derivative of b**5/90 - 2*b**4/27 + 4*b**3/27 - 10*b. Determine i, given that k(i) = 0.\n'

Answer: '0, 2\n'


Question: 'Suppose 0*n + 3*n = 2*h - 27, -2*n + 8 = 3*h. Suppose 3*c + 3*x - 6 = 0, 0 = 3*c - h*c - 4*x + 6. Solve c*r + 6 + r**3 + 7*r - 3*r**3 - r**3 = 0 for r.\n'

Answer: '-1, 2\n'


Question: 'Let f(s) be the first derivative of -3*s**4/2 + 23*s**3/3 - 10*s**2 - 4*s - 5. Factor f(r).\n'

Answer: '-(r - 2)**2*(6*r + 1)\n'


Question: 'Suppose -4*d + 4*x = -76, 0 = d + 24*x - 21*x + 9. Find b, given that 0 - 3*b + d*b**2 - 51/4*b**3 + 15/4*b**4 = 0.\n'

Answer: '0, 2/5, 1, 2\n'


Question: 'Suppose 0 = 20*b - 24*b. Let u(v) be the second derivative of b - 7*v + 1/5*v**3 - 1/5*v**2 + 1/50*v**5 - 1/10*v**4. Solve u(t) = 0.\n'

Answer: '1\n'


Question: 'Let l = -46 + 33. Let p = l - -16. Let 2*s**3 - 2*s**2 - 11 - s**p + 11 = 0. Calculate s.\n'

Answer: '0, 2\n'


Question: 'Let b(y) be the first derivative of -2*y**3/39 + 2*y/13 + 516. Determine x so that b(x) = 0.\n'

Answer: '-1, 1\n'


Question: 'Let k be (-23)/(-5) + (-102)/(-255). Let f(y) be the third derivative of -1/240*y**k + 0 + 1/24*y**3 + 6*y**2 + 1/480*y**6 + 0*y - 1/96*y**4. Factor f(o).\n'

Answer: '(o - 1)**2*(o + 1)/4\n'


Question: 'Suppose 9*h - 5*k + 20 = 10*h, -h = 4*k - 15. Let d be -3 - (-3 + 0/h). Find f such that 0*f + d - 1/3*f**2 = 0.\n'

Answer: '0\n'


Question: 'Let v be 8/(((-16)/(-10))/4). Let x = 22 - v. Suppose 4 - 57*s**3 - 5*s**2 + 21*s - 33*s**x + 21*s**4 + 11*s**2 + 2 + 36*s**5 = 0. What is s?\n'

Answer: '-1, -1/4, 2/3, 1\n'


Question: 'Let -45*k - 11*k**2 + 9*k**2 + 70 + 7*k**2 = 0. What is k?\n'

Answer: '2, 7\n'


Question: 'Let b(p) be the second derivative of 5*p**4/12 - 65*p**3/3 + 845*p**2/2 - 287*p. Factor b(i).\n'

Answer: '5*(i - 13)**2\n'


Question: 'Let h be (4176/(-192) - -21)/((-6)/32). Factor -4/7*b**h + 0*b - 24/7*b**3 + 0 - 36/7*b**2.\n'

Answer: '-4*b**2*(b + 3)**2/7\n'


Question: 'Let u(z) be the first derivative of -z**4/18 + 14*z**3/9 - 13*z**2/3 + 38*z/9 + 42. Factor u(g).\n'

Answer: '-2*(g - 19)*(g - 1)**2/9\n'


Question: 'Let v(d) = 2*d**2 + 3*d + 1. Let h be v(-2). Suppose -5*x = r + 17, -3*r + 1 = h*x + 4. Factor 0*j**3 - j**2 + 0*j**3 - 3*j**4 - r*j**3 - j**5.\n'

Answer: '-j**2*(j + 1)**3\n'


Question: 'Let p(z) = 4*z**3 + 2*z**2 + 16*z - 17. Let u be p(1). Let s(m) be the first derivative of -3/2*m**2 - u + 0*m + 1/3*m**3. Suppose s(a) = 0. What is a?\n'

Answer: '0, 3\n'


Question: 'Factor -138 - 4*q**3 + 286 + 61 + 203 - 828*q + 420*q**2.\n'

Answer: '-4*(q - 103)*(q - 1)**2\n'


Question: 'Let b be 4/(-6) - (-876)/18. Suppose -4*s - r = -b, 2*r - 48 = -4*s - 0*r. Factor -5 + 2*m**2 + s*m + 9 + 14.\n'

Answer: '2*(m + 3)**2\n'


Question: 'Let w(f) = 5*f**2 + 8*f - 90. Let h(l) = -4*l**2 - 9*l + 79. Let q(z) = 6*h(z) + 5*w(z). Factor q(g).\n'

Answer: '(g - 12)*(g - 2)\n'


Question: 'Let i = 2994/19 - 5893/38. Factor -i*w - 1/8*w**2 - 25/2.\n'

Answer: '-(w + 10)**2/8\n'


Question: 'Let a(m) = -m**2 + 10*m - 1. Let b be a(11). Let r = 16 + b. Factor u**3 + 17*u - 17*u + u**r.\n'

Answer: 'u**3*(u + 1)\n'


Question: 'Let y(x) be the first derivative of -x**4/16 + 2*x**3/3 + 149. Factor y(i).\n'

Answer: '-i**2*(i - 8)/4\n'


Question: 'Let q(v) = 15*v**2 - 63*v + 30. Let c(l) = l**2 - 2*l - 2. Let g(b) = 18*c(b) - q(b). Factor g(r).\n'

Answer: '3*(r - 2)*(r + 11)\n'


Question: 'Suppose 5*n = -4*n. Let i(z) be the third derivative of 0*z - 1/20*z**5 + n - 1/24*z**4 + 5*z**2 - 1/120*z**6 + 1/70*z**7 + 1/168*z**8 + 0*z**3. Factor i(q).\n'

Answer: 'q*(q - 1)*(q + 1)**2*(2*q + 1)\n'


Question: 'Suppose -11 = -7*v + 17. Solve -v*h**2 - 48*h + 1 - 5 + 40*h = 0.\n'

Answer: '-1\n'


Question: 'Let p = -113 - -227/2. Let j(r) be the first derivative of 4/5*r**2 - 2/25*r**5 - 4 - p*r**4 - 4/5*r**3 + 16/5*r. Factor j(l).\n'

Answer: '-2*(l - 1)*(l + 2)**3/5\n'


Question: 'Let r = 1621 + -1610. Let y(q) be the first derivative of r + 5*q - 5/2*q**4 - q**5 + 0*q**3 + 5*q**2. Solve y(n) = 0 for n.\n'

Answer: '-1, 1\n'


Question: 'Let h be ((-18)/4)/(24/(-32)). Let -3*a**3 - 3*a + 2*a**5 + 2*a**2 + 1 - 3*a**4 + 5*a**3 - h*a**5 + 5*a**5 = 0. Calculate a.\n'

Answer: '-1, 1\n'


Question: 'Suppose a - 25 - 17 = -2*n, -4*a + 144 = 2*n. Let -34*p + a*p - 5*p**4 - 5*p**2 + 10*p**3 = 0. What is p?\n'

Answer: '0, 1\n'


Question: 'Suppose 2*z + 10 = -14. Let j be 16/96 + (-46)/z. Let -1/2*p**5 - 1/2*p**2 - 2 - j*p + 5/2*p**3 + 1/2*p**4 = 0. Calculate p.\n'

Answer: '-1, 2\n'


Question: 'Let h(g) be the second derivative of g**6/2520 + g**5/280 - 11*g**3/6 - 2*g. Let o(v) be the second derivative of h(v). Suppose o(r) = 0. What is r?\n'

Answer: '-3, 0\n'


Question: 'Let u(b) = 51*b**3 - 99*b**2 - 24*b + 9. Let o(n) = -13*n**3 + 25*n**2 + 6*n - 2. Let h be -27*(0 + 2/(-6)). Let p(d) = h*o(d) + 2*u(d). Factor p(f).\n'

Answer: '-3*f*(f - 2)*(5*f + 1)\n'


Question: 'Let k(j) be the first derivative of -3/35*j**5 + 9/7*j - 12/7*j**2 - 12 + 6/7*j**3 + 0*j**4. Factor k(o).\n'

Answer: '-3*(o - 1)**3*(o + 3)/7\n'


Question: 'Let b(h) = h**2 - 5*h + 2. Let t = 72 + -48. Suppose w = -44 + 47. Let o(c) = c. Let f(v) = t*o(v) + w*b(v). Suppose f(m) = 0. Calculate m.\n'

Answer: '-2, -1\n'


Question: 'Suppose -3*i = -36 - 48. Let h = i - 24. Factor -10 + 6*p + 1 - h + 4 - p**2.\n'

Answer: '-(p - 3)**2\n'


Question: 'Let i(u) be the third derivative of -u**7/42 - 7*u**6/24 + u**5/4 + 115*u**4/24 + 35*u**3/3 + 195*u**2. Factor i(f).\n'

Answer: '-5*(f - 2)*(f + 1)**2*(f + 7)\n'


Question: 'Suppose -4*f - 4*l - 824 = -0*f, 5*f + 3*l + 1034 = 0. Let y = f - -210. Find b, given that -2*b**y - 4/5*b**3 - 2/5*b + 4/5 = 0.\n'

Answer: '-2, -1, 1/2\n'


Question: 'Let q = 39/62 - 4/31. Let b(m) be the second derivative of -m + 0 + 1/3*m**3 + q*m**2 + 1/12*m**4. Factor b(l).\n'

Answer: '(l + 1)**2\n'


Question: 'Let a(u) = u - 6. Let z be a(8). Suppose 0 = l + z*n + 8, 2*l - 2*n - 5 = 9. Factor 0 - 3/2*b**l + 3/2*b**4 - 3/2*b**3 + 0*b + 3/2*b**5.\n'

Answer: '3*b**2*(b - 1)*(b + 1)**2/2\n'


Question: 'What is i in 289 + 453 + 316 - 33*i + 2*i**2 - 59*i = 0?\n'

Answer: '23\n'


Question: 'Let z(x) = 15*x**2 + 1 + 0*x**2 - 1 + 3*x**4 - 29*x**3. Let j(l) = l**4 - 15*l**3 + 8*l**2. Let a(h) = -11*j(h) + 6*z(h). Suppose a(o) = 0. What is o?\n'

Answer: '0, 2/7, 1\n'


Question: 'Let r(y) be the third derivative of -y**7/168 - 5*y**6/72 - y**5/8 - 5*y**4/24 - 19*y**2. Let v(g) be the second derivative of r(g). Let v(z) = 0. What is z?\n'

Answer: '-3, -1/3\n'


Question: 'Find d such that 3/2*d**3 + 1/2*d + 1/2*d**4 + 3/2*d**2 + 0 = 0.\n'

Answer: '-1, 0\n'


Question: 'Let z = -44 + 52. Solve 0*k**3 + z*k**2 + 4*k - 5*k - 2*k**3 - 5*k = 0 for k.\n'

Answer: '0, 1, 3\n'


Question: 'Let i(w) be the third derivative of w**5/30 - 7*w**4/8 + 20*w**2. Let m(u) = -3*u**2 + 21*u. Let g(x) = 6*i(x) + 5*m(x). Determine q so that g(q) = 0.\n'

Answer: '-7, 0\n'


Question: 'Let v(b) be the second derivative of b**4/6 - 16*b**3 + 47*b**2 - 449*b. Factor v(y).\n'

Answer: '2*(y - 47)*(y - 1)\n'


Question: 'Let d(h) = 6*h + 1. Let p(i) = 7*i. Let k(v) = -6*d(v) + 5*p(v). Let g be k(-8). Factor -6*r**g - 27*r + 27*r + 9*r**3 - 3*r**4.\n'

Answer: '-3*r**2*(r - 2)*(r - 1)\n'


Question: 'Let c(f) = -160*f**3 - 5*f**2 + 5*f. Let w(q) = 160*q**3 + 5*q**2 - 4*q. Let r(h) = 4*c(h) + 5*w(h). Factor r(o).\n'

Answer: '5*o**2*(32*o + 1)\n'


Question: 'Let b(q) be the third derivative of 5/42*q**4 + 0 - 4/21*q**3 + 11/105*q**5 + 2/105*q**6 + 31*q**2 + 0*q. Factor b(v).\n'

Answer: '4*(v + 1)*(v + 2)*(4*v - 1)/7\n'


Question: 'Let f(h) be the first derivative of h**7/14 + 5*h**6/12 + 3*h**5/4 + 5*h**4/12 + 11*h**2/2 - 21. Let l(p) be the second derivative of f(p). Factor l(a).\n'

Answer: '5*a*(a + 1)*(a + 2)*(3*a + 1)\n'


Question: 'Let q(g) be the second derivative of g**4/18 - 20*g**3/9 + 100*g**2/3 - 87*g. Determine s, given that q(s) = 0.\n'

Answer: '10\n'


Question: 'Let a(b) be the second derivative of b**5/4 - 5*b**4/6 - 5*b**3/6 + 5*b**2 - 16*b + 1. Find o such that a(o) = 0.\n'

Answer: '-1, 1, 2\n'


Question: 'Let f be 2124/(-118) - 21/(-1). Let z be (-20)/(-6) - (-2)/3. Suppose 0 + 1/2*b**2 - 1/2*b**f - 1/2*b**z + 1/2*b = 0. Calculate b.\n'

Answer: '-1, 0, 1\n'


Question: 'Let c = -80890/7 - -11442. Let u = 114 + c. Factor 4/7 - 6/7*i + u*i**2.\n'

Answer: '2*(i - 2)*(i - 1)/7\n'


Question: 'Let w(y) = 2*y**2 + 1. Let l(s) = 12*s**2 + 416*s - 10808. Let n(i) = -l(i) + 8*w(i). Factor n(g).\n'

Answer: '4*(g - 52)**2\n'


Question: 'Suppose -13*w + 0 + 4*w**3 - 7*w + 7*w**4 + 12*w**2 - 11*w**4 + 8 = 0. Calculate w.\n'

Answer: '-2, 1\n'


Question: 'Let w(b) be the first derivative of -3*b**5/5 + 15*b**4/4 - 6*b**3 - 6*b**2 + 24*b - 334. Factor w(s).\n'

Answer: '-3*(s - 2)**3*(s + 1)\n'


Question: 'Let m = -22 + 28. Solve 8 - m*r - 8*r**2 + 6*r**2 + 6*r = 0 for r.\n'

Answer: '-2, 2\n'


Question: 'Let i(g) be the first derivative of -g**6/33 + 26*g**5/55 - 23*g**4/22 + 2*g**3/3 + 117. Solve i(s) = 0 for s.\n'

Answer: '0, 1, 11\n'


Question: 'Let j(w) be the third derivative of w**6/15 - w**5/15 - 73*w**2 - 2*w. Factor j(z).\n'

Answer: '4*z**2*(2*z - 1)\n'


Question: 'Let j be (0 - (0 - -4)/4)*0. Suppose -9*m + 7*m = j. Factor m + 2/5*k**2 + 4/5*k.\n'

Answer: '2*k*(k + 2)/5\n'


Question: 'Let b(f) = f**2 + 9*f - 12. Let u be b(-10). Let k(o) = -8*o**2 + o. Let r(l) = -l**3 + 8*l**2 - 2*l. Let a(z) = u*k(z) - 3*r(z). What is m in a(m) = 0?\n'

Answer: '0, 2/3, 2\n'


Question: 'Let l = -780 - -780. Let z(p) be the third derivative of -p**2 + 0 - 1/360*p**5 - 1/144*p**4 + l*p**3 + 0*p. Find h such that z(h) = 0.\n'

Answer: '-1, 0\n'


Question: 'Let z(v) be the second derivative of v**5/20 - v**3/2 + v**2 - 3*v + 7. Factor z(p).\n'

Answer: '(p - 1)**2*(p + 2)\n'


Question: 'Determine z so that -59/6*z + 25/6*z**3 - 1 - 70/3*z**2 = 0.\n'

Answer: '-1/5, 6\n'


Question: 'Let w(b) = 9*b**2 + 699*b - 1581. Let x(f) = f**2 + 70*f - 158. Let t(n) = 2*w(n) - 21*x(n). Factor t(r).\n'

Answer: '-3*(r - 2)*(r + 26)\n'


Question: 'Let p(a) be the third derivative of -a**6/420 - 2*a**5/15 - 25*a**4/21 - 32*a**3/7 + 105*a**2. Determine j so that p(j) = 0.\n'

Answer: '-24, -2\n'


Question: 'Let k(d) = d**2 + 2*d + 17. Let n be k(6). Let a = -63 + n. Suppose -2/5*y**4 + 6/5*y**a - 4/5*y + 0 + 0*y**3 = 0. What is y?\n'

Answer: '-2, 0, 1\n'


Question: 'Let g = 59861/4 + -14959. Factor -15*y**2 + 0 - 3*y**4 - 1/4*y**5 - g*y - 23/2*y**3.\n'

Answer: '-y*(y + 1)**2*(y + 5)**2/4\n'


Question: 'Suppose -5*z = 4*m - 214, 6*z - m - 125 = 3*z. Determine u, given that -z*u**3 - 9*u**4 + 7*u + 6*u**2 + 27*u**3 - 7*u = 0.\n'

Answer: '-2, 0, 1/3\n'


Question: 'Let l = -299 + 294. Let q(v) = 2*v**3 + 9*v**2 - 4*v + 7. Let s be q(l). Factor s*w + 4/3*w**2 + 2/3.\n'

Answer: '2*(w + 1)*(2*w + 1)/3\n'


Question: 'Suppose -578*z + 572*z + 18 = 0. Find s, given that -6/5*s + 21/5*s**3 + 0 - z*s**2 = 0.\n'

Answer: '-2/7, 0, 1\n'


Question: 'Suppose -5*g - 4*h = -18, 0*h - 3*h = -2*g - 2. Factor 0*d - 1/3 + 1/3*d**g.\n'

Answer: '(d - 1)*(d + 1)/3\n'


Question: 'Let k = -10 - -12. Let -11*p**2 - p**3 + 21*p**2 - 9*p**k = 0. Calculate p.\n'

Answer: '0, 1\n'


Question: 'Let p be -4*5/((-20)/4). Suppose 3*n - 2*o = 10 + 5, -p*n + o = -15. Let -11*h**n - 3*h**4 + 3*h**2 + 11*h**3 = 0. What is h?\n'

Answer: '-1, 0, 1\n'


Question: 'Let o(u) = -u**3 - 2*u**2 - u. Let i be o(-2). Let d = i + 0. Factor -2*p**2 + 2*p - d*p**2 + p**2 - 6 + 7*p.\n'

Answer: '-3*(p - 2)*(p - 1)\n'


Question: 'Let d(y) be the first derivative of 5/12*y**3 + 18 + y**2 + y + 1/16*y**4. Let d(n) = 0. Calculate n.\n'

Answer: '-2, -1\n'


Question: 'Let i(d) be the third derivative of -d**6/40 + 9*d**5/5 - 54*d**4 + 864*d**3 + 261*d**2. Factor i(q).\n'

Answer: '-3*(q - 12)**3\n'


Question: 'Suppose 143*q - 1 - 11 + 56*q + 69*q + 117*q**2 - 40*q = 0. Calculate q.\n'

Answer: '-2, 2/39\n'


Question: 'Let s = 17 + -15. Let l be s/10*(1 - 6/(-6)). Solve l*j**2 + 0*j + 0 = 0.\n'

Answer: '0\n'


Question: 'Suppose -17 = -3682*m + 3700*m - 53. Factor -3 - 3/2*y**3 - 6*y**m - 15/2*y.\n'

Answer: '-3*(y + 1)**2*(y + 2)/2\n'


Question: 'Let z(i) = 5*i**4 - 24*i**3 - 30*i**2 + 16*i + 25. Let w(c) = -5*c**4 + 23*c**3 + 30*c**2 - 17*c - 25. Let g(u) = -4*w(u) - 3*z(u). Factor g(p).\n'

Answer: '5*(p - 5)*(p - 1)*(p + 1)**2\n'


Question: 'Let c(u) = u**3 + 3*u**2 + u - 2. Let v be c(-2). Factor 2/7*o - 1/7*o**2 + v.\n'

Answer: '-o*(o - 2)/7\n'


Question: 'Let k(j) be the third derivative of j**7/140 + 7*j**6/40 + 3*j**5/2 + 25*j**4/8 - 125*j**3/4 - 3*j**2 - 3. Find z such that k(z) = 0.\n'

Answer: '-5, 1\n'


Question: 'Let w be (-270)/(-48)*124/155. Find l, given that -3 - w*l + 0*l**2 + 3/2*l**3 = 0.\n'

Answer: '-1, 2\n'


Question: 'Let n(l) = -l**2 + 5*l + 10. Let i be n(6). Factor -i*a - 4 - 3*a**2 + a**2 + 1 + 1.\n'

Answer: '-2*(a + 1)**2\n'


Question: 'Let y(h) be the first derivative of 5/14*h**2 - 33 + 2/7*h + 1/28*h**4 + 4/21*h**3. Factor y(b).\n'

Answer: '(b + 1)**2*(b + 2)/7\n'


Question: 'Let t(n) be the first derivative of n**4/6 + 10*n**3/9 + 7*n**2/3 + 2*n + 91. Factor t(a).\n'

Answer: '2*(a + 1)**2*(a + 3)/3\n'


Question: 'Let d(t) be the second derivative of 1/30*t**5 + 13 + 1/45*t**6 + 0*t**2 + 0*t**3 - 1/9*t**4 + 2*t. Suppose d(g) = 0. What is g?\n'

Answer: '-2, 0, 1\n'


Question: 'Let y(m) be the first derivative of 3*m + 0*m**3 + 2 + 1/12*m**2 - 1/72*m**4. Let n(d) be the first derivative of y(d). Solve n(r) = 0 for r.\n'

Answer: '-1, 1\n'


Question: 'Let c(p) be the second derivative of -3*p**5/40 + p**4/8 + p**3/2 + 7*p + 4. Find f, given that c(f) = 0.\n'

Answer: '-1, 0, 2\n'


Question: 'Let z(p) be the second derivative of -p**6/120 - 3*p**5/40 + 17*p**3/6 - 20*p. Let t(i) be the second derivative of z(i). Factor t(n).\n'

Answer: '-3*n*(n + 3)\n'


Question: 'Factor -1/8*q + 1/2 + 1/8*q**3 - 1/2*q**2.\n'

Answer: '(q - 4)*(q - 1)*(q + 1)/8\n'


Question: 'Let z be (1 - (-156)/60)/(21/28). Factor 12/5*v - 3/5*v**4 + 0 + 3*v**3 - z*v**2.\n'

Answer: '-3*v*(v - 2)**2*(v - 1)/5\n'


Question: 'Let c(y) be the second derivative of -1/14*y**7 - 2*y**3 - 22*y + 3/4*y**5 + 5/6*y**4 - 4*y**2 + 0 - 1/15*y**6. Solve c(q) = 0 for q.\n'

Answer: '-2, -1, -2/3, 1, 2\n'


Question: 'Let p be 1 - (4 + -9 + 83). Let c = -305/4 - p. Let 3/4*d + c*d**2 - 3/2 = 0. What is d?\n'

Answer: '-2, 1\n'


Question: 'Suppose -14*r - 504 + 504 = r. Factor 4/5*f**4 - 2/5*f**3 + r*f + 0 + 0*f**2 - 2/5*f**5.\n'

Answer: '-2*f**3*(f - 1)**2/5\n'


Question: 'Let k(p) be the first derivative of p**5 - 5*p**4 - 35*p**3/3 + 25*p**2 - 110. Suppose k(c) = 0. What is c?\n'

Answer: '-2, 0, 1, 5\n'


Question: 'Let q be (-14)/(-6) + 13/(-39). Factor 3*r - 94*r**2 + 2 + 94*r**q - r**3.\n'

Answer: '-(r - 2)*(r + 1)**2\n'


Question: 'Let w be 18/(-12)*2 - -8. Let z(u) be the second derivative of 1/21*u**7 + 0 + 0*u**2 - 1/3*u**3 + 0*u**w + 2/15*u**6 - 1/3*u**4 + 2*u. Factor z(c).\n'

Answer: '2*c*(c - 1)*(c + 1)**3\n'


Question: 'Factor 242/9*s + 0 - 7/9*s**4 - 99*s**2 + 52/3*s**3.\n'

Answer: '-s*(s - 11)**2*(7*s - 2)/9\n'


Question: 'Let f(u) be the second derivative of 4*u**7/15 - u**6/5 - 13*u**5/25 + u**4/2 - 2*u**3/15 + 3*u. Solve f(c) = 0.\n'

Answer: '-1, 0, 1/4, 2/7, 1\n'


Question: 'Let u(c) = -c**2 - 18*c - 5. Let z(g) = -4*g**2 - 72*g - 19. Let t(l) = 9*u(l) - 2*z(l). Let h(w) = 9*w + 3. Let o(y) = 5*h(y) + 3*t(y). Factor o(q).\n'

Answer: '-3*(q + 1)*(q + 2)\n'


Question: 'Let u(b) = 10*b**4 - 10*b**2 + 10. Let k(x) be the second derivative of -x**6/30 - x**2/2 + 18*x. Let p(m) = -5*k(m) - u(m). Factor p(s).\n'

Answer: '-5*(s - 1)**2*(s + 1)**2\n'


Question: 'Let g(s) be the first derivative of 1/10*s**2 + 4*s + 1/60*s**4 - 1/15*s**3 + 2. Let t(c) be the first derivative of g(c). Solve t(o) = 0.\n'

Answer: '1\n'


Question: 'Let x(g) = 3*g - 15. Let p be x(6). Factor 7*r**3 - 2*r**4 - 3*r**3 + 2*r**2 - 6*r**p + 2*r**5.\n'

Answer: '2*r**2*(r - 1)**2*(r + 1)\n'


Question: 'Let x(y) be the second derivative of -5*y**6/24 - 3*y**5/2 + 5*y**4/3 + 14*y**2 + 38*y. Let g(z) be the first derivative of x(z). Let g(d) = 0. Calculate d.\n'

Answer: '-4, 0, 2/5\n'


Question: 'Factor 6*d**2 - 10*d**5 + 116*d**4 + 484*d**4 - 6*d**2 + 285*d**3 + 315*d**5 - 10*d**2.\n'

Answer: '5*d**2*(d + 1)**2*(61*d - 2)\n'


Question: 'Let v(b) be the third derivative of 0 - 47*b**2 - 9/16*b**4 + 1/80*b**6 + 0*b + 27/8*b**3 + 0*b**5 - 1/840*b**7. Solve v(k) = 0 for k.\n'

Answer: '-3, 3\n'


Question: 'Suppose -3 = -h + 2*w - 9, 0 = -5*h + 2*w + 10. Let x = -55596 - -55598. Find r, given that 1/5*r**h + 0 + 0*r - 1/5*r**x + 0*r**3 = 0.\n'

Answer: '-1, 0, 1\n'


Question: 'Let t = 472 - 470. Determine u so that 2/3*u + 4/3 - 2/3*u**t = 0.\n'

Answer: '-1, 2\n'


Question: 'Factor -14*q + 17 + 9 - 11 + 0 - q**2.\n'

Answer: '-(q - 1)*(q + 15)\n'


Question: 'Let n(x) be the third derivative of x**6/1080 - x**5/180 + 5*x**3/2 - 7*x**2. Let l(m) be the first derivative of n(m). Factor l(r).\n'

Answer: 'r*(r - 2)/3\n'


Question: 'Determine z, given that -327/11*z**3 + 730/11*z**2 + 9/11*z**4 + 136/11 - 548/11*z = 0.\n'

Answer: '2/3, 1, 34\n'


Question: 'Suppose -22604 + 22616 + 33*j**3 + 129*j**2 + 144*j + 6*j**2 = 0. Calculate j.\n'

Answer: '-2, -1/11\n'


Question: 'Let c = -81 - -79. Let w be ((-4)/(-7))/(c - (-51)/21). Let -4/3*a**2 + 0*a - 1/3*a**4 + 0 + w*a**3 = 0. What is a?\n'

Answer: '0, 2\n'


Question: 'Let z(s) be the second derivative of 9*s + 0 + 2/21*s**3 - 1/35*s**5 + 4/7*s**2 - 2/21*s**4. Factor z(y).\n'

Answer: '-4*(y - 1)*(y + 1)*(y + 2)/7\n'


Question: 'Let s = 52226 + -52222. Factor 8/5*v**s + 4/5*v**2 + 0*v + 0 - 2*v**3 - 2/5*v**5.\n'

Answer: '-2*v**2*(v - 2)*(v - 1)**2/5\n'


Question: 'Suppose -47 = -3*t + 2*t - n, 3*n + 223 = 4*t. Let s be 6/39 + 148/t. Factor 2/9*g + 0 - 2/9*g**2 + 2/9*g**4 - 2/9*g**s.\n'

Answer: '2*g*(g - 1)**2*(g + 1)/9\n'


Question: 'Solve 2/3*n**3 + 10 - 58/3*n + 26/3*n**2 = 0 for n.\n'

Answer: '-15, 1\n'


Question: 'Let v(l) be the first derivative of -3*l**5/5 - 39*l**4/4 - 22*l**3 - 95. Find d, given that v(d) = 0.\n'

Answer: '-11, -2, 0\n'


Question: 'Let k(m) = -66*m**2 + 117*m - 51. Let o(v) be the first derivative of -5*v**3/3 + 9*v**2/2 - 4*v + 4. Let z(h) = 2*k(h) - 27*o(h). Factor z(w).\n'

Answer: '3*(w - 2)*(w - 1)\n'


Question: 'Let g(s) = -5*s**2 - 212*s - 76. Let u be g(-42). Let b(p) be the first derivative of -p + p**2 + u - 1/3*p**3. Factor b(y).\n'

Answer: '-(y - 1)**2\n'


Question: 'Let k(d) be the second derivative of 0*d**2 - 3*d - 2/21*d**3 + 1/70*d**5 + 0 + 1/42*d**4. Factor k(p).\n'

Answer: '2*p*(p - 1)*(p + 2)/7\n'


Question: 'Let t(u) be the first derivative of 1/16*u**4 + 1/4*u + 28 - 1/12*u**3 - 1/8*u**2. Factor t(l).\n'

Answer: '(l - 1)**2*(l + 1)/4\n'


Question: 'Let t(v) be the second derivative of -v**4/4 + 9*v**3/7 - 12*v**2/7 + 103*v. Factor t(u).\n'

Answer: '-3*(u - 2)*(7*u - 4)/7\n'


Question: 'Let r(t) = -t**4 - t**3 + t**2 + t + 1. Let n(o) = -7*o**5 + 13*o**4 + 2*o**3 - 4*o**2 - 4*o - 4. Let p(z) = n(z) + 4*r(z). Determine l, given that p(l) = 0.\n'

Answer: '0, 2/7, 1\n'


Question: 'Let l(t) = -6*t**4 + 6*t**3 - 15*t + 3. Let o be (-2)/14 - 1/(21/(-24)). Let p(s) = s**4 + s**3 + s - 1. Let b(n) = o*l(n) + 3*p(n). Factor b(z).\n'

Answer: '-3*z*(z - 2)**2*(z + 1)\n'


Question: 'Let q = 5122 + -10217/2. Factor q*t**5 + 8 + 225/2*t**3 - 189/2*t**4 + 68*t + 361/2*t**2.\n'

Answer: '(t - 4)**2*(3*t + 1)**3/2\n'


Question: 'Let r(o) be the second derivative of 25*o**7/42 - 13*o**6/6 + 3*o**5/2 + o - 7. Factor r(k).\n'

Answer: '5*k**3*(k - 2)*(5*k - 3)\n'


Question: 'Let m be (-1 - 0)/(1883/(-2646) - (-10)/(-135)). What is b in -24/11 - 32/11*b - m*b**2 - 2/11*b**3 = 0?\n'

Answer: '-3, -2\n'


Question: 'Determine o, given that 4*o**4 + 17*o**3 + 23*o**3 + 122*o - 2639 - 124*o**2 + 2599 - 2*o**5 = 0.\n'

Answer: '-5, 1, 4\n'


Question: 'Let a(u) be the first derivative of -u**6/4 - 39*u**5/10 - 15*u**4 - 18*u**3 + 96. What is w in a(w) = 0?\n'

Answer: '-9, -2, 0\n'


Question: 'Let k(l) be the third derivative of l**8/168 - l**7/210 - l**6/20 + 7*l**5/60 - l**4/12 - 61*l**2. Factor k(m).\n'

Answer: 'm*(m - 1)**2*(m + 2)*(2*m - 1)\n'


Question: 'Let f(r) be the second derivative of r**6/15 + r**5/5 - r**4/6 - 2*r**3/3 + 3*r - 11. Factor f(y).\n'

Answer: '2*y*(y - 1)*(y + 1)*(y + 2)\n'


Question: 'Let w = -791 - -110741/140. Let k(z) be the third derivative of 0*z**3 + 1/120*z**5 - 1/80*z**6 - 2*z**2 + w*z**7 + 0*z**4 + 0 - 1/672*z**8 + 0*z. Factor k(t).\n'

Answer: '-t**2*(t - 1)**3/2\n'


Question: 'Let h be 1*(6 + (-1)/1). Find f, given that -11 - f**3 + 5*f**3 - 16*f + 4*f**2 - h = 0.\n'

Answer: '-2, -1, 2\n'


Question: 'Let a(f) be the third derivative of 2*f**7/735 + 17*f**6/210 + 31*f**5/105 + 5*f**4/14 + 32*f**2 - 3. Solve a(u) = 0.\n'

Answer: '-15, -1, 0\n'


Question: 'Factor -211*l**2 + 227*l + 172 + 160*l**3 - 7*l**4 + 354*l**2 + 3*l**4 + 285*l + 361*l**2.\n'

Answer: '-4*(l - 43)*(l + 1)**3\n'


Question: 'Factor 3/2*h**2 + 27/2*h + 27.\n'

Answer: '3*(h + 3)*(h + 6)/2\n'


Question: 'Let d(u) = 4*u**2 + 132*u + 1804. Let g(c) = 21*c**2 + 666*c + 9022. Let b(s) = 11*d(s) - 2*g(s). Determine q, given that b(q) = 0.\n'

Answer: '-30\n'


Question: 'Let c(x) be the first derivative of 7*x**3 - 7 + 9*x**2 + 3*x**4 + 27/40*x**5 + 1/16*x**6 + 6*x. Factor c(h).\n'

Answer: '3*(h + 1)*(h + 2)**4/8\n'


Question: 'Let p(w) = -9*w + 82. Let d(a) = 3*a - 27. Let f(n) = -8*d(n) - 3*p(n). Let i be f(11). Let 12/5*u - 4*u**i - 26/5*u**2 + 5*u**4 + 9/5 = 0. What is u?\n'

Answer: '-3/5, 1\n'


Question: 'Let s(q) be the second derivative of -q**5/20 - q**4/6 + q**3/6 + q**2/2 - 7*q. Let w be s(-3). Factor 4*x**4 - 6*x**2 + 12*x**3 + 7*x**2 + w*x**2.\n'

Answer: '4*x**2*(x + 1)*(x + 2)\n'


Question: 'Suppose -2*u - 3*u - 40 = 0. Let r be ((-15)/(-20))/((-2)/u). Factor 3*q**2 - 7*q - 2*q + 6*q**2 - 3*q**3 + r.\n'

Answer: '-3*(q - 1)**3\n'


Question: 'Let s(k) be the third derivative of k**7/1365 + k**6/390 + k**5/390 + 16*k**2 - 16. Factor s(c).\n'

Answer: '2*c**2*(c + 1)**2/13\n'


Question: 'Let r be 5/(-15) - 22/(-3). What is k in 17*k**2 + 55*k**5 - 3 - 6*k**5 - 21*k**4 + 24*k + 0 - 73*k**3 + r = 0?\n'

Answer: '-1, -2/7, 1\n'


Question: 'Let t(n) = -n + 13. Let q be t(9). Suppose 0*a**4 + a**q + 2*a**2 + 2*a - 5*a**2 - 4*a = 0. What is a?\n'

Answer: '-1, 0, 2\n'


Question: 'Let x be 4/(-84)*35 - (-62)/21. Determine s so that -3/7*s**4 + 3/7*s - 9/7*s**2 + 0 + x*s**3 = 0.\n'

Answer: '0, 1\n'


Question: 'Let j be ((0 - -7) + -7)/(-4). Let q(r) = 11*r + 2. Let v be q(j). Factor 0 + 1/2*s**3 - 1/2*s + 1/4*s**4 - 1/4*s**v.\n'

Answer: 's*(s - 1)*(s + 1)*(s + 2)/4\n'


Question: 'Let b(f) = -5*f**2 - 120*f + 3719. Let q(u) = 18*u**2 + 359*u - 11156. Let j(v) = 7*b(v) + 2*q(v). Factor j(y).\n'

Answer: '(y - 61)**2\n'


Question: 'Suppose 10*o = 8*o + 40. Suppose 2*m - o = -2*m. Let -16/7*l**4 - 76/7*l**2 + 2/7*l**m - 16/7 + 8*l + 50/7*l**3 = 0. Calculate l.\n'

Answer: '1, 2\n'


Question: 'Let a(f) be the first derivative of -4*f**5/5 - 14*f**4 + 4*f**3 + 80*f**2 - 112*f - 120. Factor a(h).\n'

Answer: '-4*(h - 1)**2*(h + 2)*(h + 14)\n'


Question: 'Let n(v) be the first derivative of v**8/1680 + 2*v**7/525 + v**6/200 + 11*v**2/2 + 11. Let u(l) be the second derivative of n(l). What is p in u(p) = 0?\n'

Answer: '-3, -1, 0\n'


Question: 'Let z(x) be the first derivative of -4*x**3/21 + 568*x**2/7 - 80656*x/7 + 51. Find a such that z(a) = 0.\n'

Answer: '142\n'


Question: 'Let s(r) be the third derivative of 3*r**8/112 + 11*r**7/35 + 47*r**6/40 + 3*r**5/5 - 9*r**4/2 - 286*r**2. Suppose s(d) = 0. Calculate d.\n'

Answer: '-3, -2, 0, 2/3\n'


Question: 'Let u = 3357/2 + -1678. Solve 1/3*p + u*p**2 - 3/2*p**3 + 1/2*p**5 + 1/6*p**4 + 0 = 0 for p.\n'

Answer: '-2, -1/3, 0, 1\n'


Question: 'Let p(z) be the third derivative of -z**8/1848 - 19*z**7/1155 - 12*z**6/55 - 272*z**5/165 - 256*z**4/33 - 256*z**3/11 + 82*z**2. Factor p(w).\n'

Answer: '-2*(w + 3)*(w + 4)**4/11\n'


Question: 'Let d(j) be the first derivative of -j**5/5 - 157*j**4/4 + 347. Find x, given that d(x) = 0.\n'

Answer: '-157, 0\n'


Question: 'Let t(b) be the first derivative of b**6/2 - 3*b**4/2 + 3*b**2/2 + 63. Factor t(h).\n'

Answer: '3*h*(h - 1)**2*(h + 1)**2\n'


Question: 'Suppose -7*b = -3*b + z - 11, -2*z + 14 = 4*b. Let u = 257/6 - 127/3. What is w in 0 + 5/6*w**b + u*w**3 - 1/3*w = 0?\n'

Answer: '-2, 0, 1/3\n'


Question: 'Let h(b) be the third derivative of -b**7/273 + b**6/390 + 2*b**5/13 + 14*b**4/39 - 32*b**3/39 + 16*b**2. What is a in h(a) = 0?\n'

Answer: '-2, 2/5, 4\n'


Question: 'Suppose 25*t**3 - 39*t**2 - 3*t**4 + 129150*t - 129132*t - t**3 = 0. What is t?\n'

Answer: '0, 1, 6\n'


Question: 'Let u be -4*(21/(-4))/(6/(-4)). Let x be u/70 + 7/10. What is j in x*j**2 + 0*j + 0 = 0?\n'

Answer: '0\n'


Question: 'Let n(x) = -2*x + 5. Let w(c) = 3*c - 7. Let g(k) = 7*n(k) + 5*w(k). Suppose 9*z - 12*z = 3. Let p(u) = u**2 - u + 1. Let d(l) = z*p(l) + g(l). Factor d(r).\n'

Answer: '-(r - 1)**2\n'


Question: 'Factor 34/9*i + 10/9*i**2 + 4/3.\n'

Answer: '2*(i + 3)*(5*i + 2)/9\n'


Question: 'Let n(v) be the third derivative of 1/5*v**5 + 2/15*v**6 - 5*v**2 + 0*v + 0 - 8/3*v**3 - 2/3*v**4 + 2/105*v**7. Determine w so that n(w) = 0.\n'

Answer: '-2, -1, 1\n'


Question: 'Let k be (10/3)/(2/3). Suppose -9*f + 8 = -k*f. Suppose 0*v**2 - 3*v**2 + 0 + 4*v - 3 + 2*v**f = 0. Calculate v.\n'

Answer: '1, 3\n'


Question: 'Let r(j) = -j**2 - 35*j + 38. Let s be r(-36). Let 2/13*k**5 + 0 - 4/13*k - 2/13*k**4 + 10/13*k**s - 6/13*k**3 = 0. What is k?\n'

Answer: '-2, 0, 1\n'


Question: 'Factor 69*s - 49*s + 25*s**4 + 72*s**3 + 2*s**4 + 5*s**4 + 0*s**4 + 4*s**5 + 64*s**2.\n'

Answer: '4*s*(s + 1)**3*(s + 5)\n'


Question: 'Let n(t) = 5*t**4 - 80*t**3 + 135*t**2 - 60*t. Let q(r) = 2*r**4 - 27*r**3 + 45*r**2 - 20*r. Let s(o) = 3*n(o) - 10*q(o). Let s(k) = 0. What is k?\n'

Answer: '0, 1, 4\n'


Question: 'Suppose 3*n = 6 + 21. Let a(r) = 3 - n*r + r**2 - r**3 - 2 + 9*r. Let q(g) = 10*g**3 - 3*g**2 - 5*g - 7. Let v(l) = 5*a(l) + q(l). Determine z so that v(z) = 0.\n'

Answer: '-1, -2/5, 1\n'


Question: 'Let p(z) be the second derivative of -z**6/15 - z**5/5 + 2*z**4 + 8*z**3/3 - 32*z**2 + 801*z. Factor p(l).\n'

Answer: '-2*(l - 2)**2*(l + 2)*(l + 4)\n'


Question: 'Let b be 2/18*(-270)/(-60). Let s(o) be the first derivative of -4 - b*o**3 - 9/2*o + 3*o**2. Factor s(r).\n'

Answer: '-3*(r - 3)*(r - 1)/2\n'


Question: 'Let b(w) = -22*w + 66. Let f be b(3). Let t(k) be the first derivative of 2 + f*k**3 + 0*k**2 + 0*k**5 + 0*k - 1/10*k**6 + 0*k**4. Factor t(g).\n'

Answer: '-3*g**5/5\n'


Question: 'Let p(f) = 6*f**2 - 3*f - 15. Let q(a) = -11*a**2 + 6*a + 31. Let o(y) = 5*p(y) + 3*q(y). Factor o(n).\n'

Answer: '-3*(n - 3)*(n + 2)\n'


Question: 'Suppose 2*n - 2 = 6. Suppose -3*z - y - 4 = -6, 4*z = -n*y - 8. Factor h + z*h + h**2 - h - h.\n'

Answer: 'h*(h + 1)\n'


Question: 'Let g(t) = -13*t**2 + 428*t + 33. Let m be g(33). Find s, given that -1/2*s**2 + m*s + 0 - 3/2*s**3 = 0.\n'

Answer: '-1/3, 0\n'


Question: 'Let t = 82 - 84. Let i be -3 - (14/(t - 0) + 2). Factor 0 - v**4 + v**i + 2/3*v**3 - 2/3*v.\n'

Answer: '-v*(v - 1)*(v + 1)*(3*v - 2)/3\n'


Question: 'Let c(a) be the second derivative of a**7/168 - 7*a**6/144 + a**5/12 + a**4/6 - 11*a. Let m(i) be the third derivative of c(i). Let m(h) = 0. Calculate h.\n'

Answer: '1/3, 2\n'


Question: 'Let k(m) = m**3 - 5*m**2 + 2*m + 2. Let j be k(2). Let z be j*((-3)/(-9) + -1). Factor 6*a**3 - 13*a - a**2 - 3*a**z + 10*a**2 + a - 47 + 35.\n'

Answer: '-3*(a - 2)**2*(a + 1)**2\n'


Question: 'Let p(q) be the first derivative of -2*q**5/85 - 3*q**4/17 + 16*q**3/17 - 26*q**2/17 + 18*q/17 + 49. Determine y so that p(y) = 0.\n'

Answer: '-9, 1\n'


Question: 'Let v be 8/1 + (8/10)/(11/(-55)). Solve -i**3 + i + 1/2*i**2 + 0 - 1/2*i**v = 0.\n'

Answer: '-2, -1, 0, 1\n'


Question: 'Let n(h) be the second derivative of 5*h**4/12 - 20*h**3 - 130*h**2 + 3*h - 5. Solve n(g) = 0.\n'

Answer: '-2, 26\n'


Question: 'Factor -17*x - 44 - x**2 - 100 - 7*x.\n'

Answer: '-(x + 12)**2\n'


Question: 'Let h(i) be the second derivative of -i**7/357 + 2*i**6/85 - 13*i**5/170 + 2*i**4/17 - 4*i**3/51 - 51*i. Let h(a) = 0. What is a?\n'

Answer: '0, 1, 2\n'


Question: 'Let q(r) be the third derivative of -r**7/420 + 17*r**6/240 + 3*r**5/20 - 363*r**2. Factor q(k).\n'

Answer: '-k**2*(k - 18)*(k + 1)/2\n'


Question: 'Let u be (-5)/(-9)*3/4. Let r(s) be the first derivative of u*s**3 + 3/8*s**2 - 1/2*s + 5. Determine p, given that r(p) = 0.\n'

Answer: '-1, 2/5\n'


Question: 'Let n be 10/(-8)*(-4 - 0). Let c(b) be the third derivative of b**2 + 0*b + 7/90*b**n + 0 + 1/24*b**4 - 1/9*b**3. Factor c(j).\n'

Answer: '(2*j + 1)*(7*j - 2)/3\n'


Question: 'Let z(x) = 44*x - 246. Let d(a) = 11*a - 61. Let o(p) = -9*d(p) + 2*z(p). Let w be o(5). Factor 6*b**w + 3/2*b**3 + 15/2*b + 3.\n'

Answer: '3*(b + 1)**2*(b + 2)/2\n'


Question: 'Let u(y) be the first derivative of y**4/24 + 23*y**3/18 - 2*y**2 + 191. Suppose u(b) = 0. Calculate b.\n'

Answer: '-24, 0, 1\n'


Question: 'Let k(g) = -g**2 + 26*g - 46. Let p be k(24). Let 0*t**2 + 6*t**3 - 3*t**2 - 6*t**p + 11*t**2 = 0. Calculate t.\n'

Answer: '-1/3, 0\n'


Question: 'Let u(r) be the second derivative of -r**7/357 + r**6/255 + r**5/85 + 525*r. Factor u(k).\n'

Answer: '-2*k**3*(k - 2)*(k + 1)/17\n'


Question: 'Let n(r) = 33*r**2 - 17*r. Let z(f) = 12*f + 220. Let p be z(-18). Suppose 2*c = -2*c - 36. Let a(h) = 16*h**2 - 8*h. Let s(l) = c*a(l) + p*n(l). Factor s(i).\n'

Answer: '-4*i*(3*i - 1)\n'


Question: 'Let t(v) be the second derivative of -3*v**5/20 - v**4/4 + 33*v**3/2 - 189*v**2/2 + 12*v. Determine y, given that t(y) = 0.\n'

Answer: '-7, 3\n'


Question: 'Let x(w) be the second derivative of -w**7/294 - w**6/42 + w**5/28 + 25*w**4/84 - 2*w**3/21 - 10*w**2/7 - 298*w. Solve x(p) = 0 for p.\n'

Answer: '-5, -2, -1, 1, 2\n'


Question: 'Factor -29/4*u - 5/2 + 1/4*u**4 - 27/4*u**2 - 7/4*u**3.\n'

Answer: '(u - 10)*(u + 1)**3/4\n'


Question: 'Suppose 3*z = -5*d + 406, 5*d - 2*z - 223 = 173. Let i = 323/4 - d. Determine y, given that -1/2 - i*y**2 - 7/4*y + 5/4*y**4 + 7/4*y**3 = 0.\n'

Answer: '-1, -2/5, 1\n'


Question: 'Let r(b) be the first derivative of 0*b - 1/30*b**5 - 1/18*b**3 + 0*b**2 + 17 - 1/12*b**4. Factor r(q).\n'

Answer: '-q**2*(q + 1)**2/6\n'


Question: 'Suppose -5*k = -2*v - 0*k + 46, 0 = -2*k. Let -55*b**4 + v*b**4 + 29*b**4 + 3*b**3 = 0. What is b?\n'

Answer: '0, 1\n'


Question: 'Let w = 74 + -65. Let h = w - 15/2. Let -h*m**3 - 18*m + 12 + 9*m**2 = 0. What is m?\n'

Answer: '2\n'


Question: 'Let h be (4/((-80)/(-12)))/((-1932)/150 + 13). Find z such that -4/7*z**3 + 2/7*z**h + 0*z**2 + 2/7*z**4 + 0*z + 0 = 0.\n'

Answer: '-2, 0, 1\n'


Question: 'Determine i, given that -3*i**2 + 0*i + 0 - 33/4*i**4 - 3*i**5 + 57/4*i**3 = 0.\n'

Answer: '-4, 0, 1/4, 1\n'


Question: 'Let f be 58/(-783) + (-8)/(-27). Factor -2/9 - f*t**2 - 4/9*t.\n'

Answer: '-2*(t + 1)**2/9\n'


Question: 'Let x(b) be the first derivative of -2*b**6/15 - 16*b**5/25 + b**4/5 + 64*b**3/15 + 24*b**2/5 + 229. Solve x(z) = 0 for z.\n'

Answer: '-3, -2, -1, 0, 2\n'


Question: 'Let z(u) be the first derivative of -u**7/84 + u**6/30 - u**4/12 + u**3/12 - 17*u + 16. Let b(l) be the first derivative of z(l). What is w in b(w) = 0?\n'

Answer: '-1, 0, 1\n'


Question: 'Suppose 3*r - 17 = -8. Factor -2*q**r + q**2 - 3*q**3 + 4*q**3 + q - q**4.\n'

Answer: '-q*(q - 1)*(q + 1)**2\n'


Question: 'Factor -8*z**5 + 5*z**4 + 7*z**5 - 12 + 74*z**3 - 13*z**2 + 12*z - 40*z - 65*z**3.\n'

Answer: '-(z - 6)*(z - 2)*(z + 1)**3\n'


Question: 'Let v(n) = 11 + 237*n + 239*n - 485*n + 2*n**2. Let x(o) = o + 0*o + 1 - 2*o. Let z(l) = 2*v(l) - 22*x(l). Find j, given that z(j) = 0.\n'

Answer: '-1, 0\n'


Question: 'Let x be ((-6)/(-4))/((-3)/(-4)). Suppose x*d + z - 9 = 4*z, 4*d - 2*z = 14. Factor -1/2*l**4 + 0*l - l**d + 0 - 1/2*l**2.\n'

Answer: '-l**2*(l + 1)**2/2\n'


Question: 'Let r(u) be the third derivative of -8*u**2 - 1/30*u**6 - 2/45*u**5 + 0*u**3 + 0*u + 0 - 2/315*u**7 + 0*u**4. Find i, given that r(i) = 0.\n'

Answer: '-2, -1, 0\n'


Question: 'Let p(d) = 2218*d + 11093. Let b be p(-5). Suppose -1/8*m**b - 9/8 + 5/8*m**2 - 3/8*m = 0. Calculate m.\n'

Answer: '-1, 3\n'


Question: 'Find m such that -6/7*m**3 - 162/7*m + 162/7 + 54/7*m**2 = 0.\n'

Answer: '3\n'


Question: 'Suppose 0 = 204*p - 212*p. Let a be (-3)/4 + 0 - -1. Factor -1/4*b**3 + a*b + 0*b**2 + p.\n'

Answer: '-b*(b - 1)*(b + 1)/4\n'


Question: 'Let j(y) = y**3 - 2*y - 3. Let a be j(-2). Let n = a - -10. Find l such that 3*l**5 + 8*l**4 + 2*l**4 - l**4 - 3*l**4 + n*l**3 = 0.\n'

Answer: '-1, 0\n'


Question: 'Let a be -402*(-7)/336 - 3/(-12). Let -27/8*m**4 - 21/8*m**2 + 3/8*m**5 + a*m**3 + 6 - 9*m = 0. Calculate m.\n'

Answer: '-1, 1, 4\n'


Question: 'Let h(m) be the first derivative of 0*m - 5/4*m**2 - 13 + 5/3*m**3 - 5/8*m**4. Factor h(f).\n'

Answer: '-5*f*(f - 1)**2/2\n'


Question: 'Let k(s) be the first derivative of -s**6/60 + s**4/4 - 2*s**3/3 - 3*s**2 - 11. Let i(q) be the second derivative of k(q). Factor i(n).\n'

Answer: '-2*(n - 1)**2*(n + 2)\n'


Question: 'Let h(b) be the first derivative of -1/12*b**3 + 1/4*b**2 + 0*b + 7. Factor h(r).\n'

Answer: '-r*(r - 2)/4\n'


Question: 'Let f be 36/(-10)*25/265. Let m = f - -376/795. Factor 2/15*h**3 + 2/15 - 2/15*h - m*h**2.\n'

Answer: '2*(h - 1)**2*(h + 1)/15\n'


Question: 'Let f(l) = 2*l**4 + 33*l**3 + 12*l**2 - 59*l - 3. Let b(z) = -3*z**4 - 67*z**3 - 23*z**2 + 121*z + 7. Let m(i) = 3*b(i) + 7*f(i). Factor m(d).\n'

Answer: '5*d*(d - 1)*(d + 2)*(d + 5)\n'


Question: 'Determine u so that 0*u + 0 + 1/8*u**2 = 0.\n'

Answer: '0\n'


Question: 'Suppose -5*v + 10 = 3*f, 28 = 5*f + 2*v - 5*v. Suppose 5*k - l - 99 - 60 = 0, 0 = -2*l - 8. Determine x so that x**4 - x**2 + x**3 - k - x**f + 31 = 0.\n'

Answer: '-1, 0, 1\n'


Question: 'Let v be ((-56)/(-16) + -3)*50/15*14. Suppose 8/3*l + 8/3 - v*l**2 + 92/3*l**3 + 8/3*l**5 - 46/3*l**4 = 0. Calculate l.\n'

Answer: '-1/4, 1, 2\n'


Question: 'Let q(n) = 2*n**2 - 7*n - 8. Let d(c) = -11*c**2 + 41*c + 46. Let f(i) = 6*d(i) + 34*q(i). Let j(h) = -4 + 4 + h. Let v(t) = f(t) - 2*j(t). Factor v(a).\n'

Answer: '2*(a + 1)*(a + 2)\n'


Question: 'Factor -15/4 + 1/4*o**3 - 1/4*o + 15/4*o**2.\n'

Answer: '(o - 1)*(o + 1)*(o + 15)/4\n'


Question: 'Let a(o) be the third derivative of -5*o**6/16 - 19*o**5/8 + 141*o**4/16 - 45*o**3/4 + 94*o**2 + o. Let a(h) = 0. Calculate h.\n'

Answer: '-5, 3/5\n'


Question: 'Let v be 232/6 + 12/10*(-140)/(-56). Factor -1/3*i**4 - 14/3*i**3 + v - 50/3*i - 20*i**2.\n'

Answer: '-(i - 1)*(i + 5)**3/3\n'


Question: 'Let t be 1273 + -25 - (-3)/(-1). Factor -10 - 27*q - 18*q**2 - 2 + 1242*q**3 - t*q**3.\n'

Answer: '-3*(q + 1)**2*(q + 4)\n'


Question: 'Let x(c) be the second derivative of -c**6/20 - 3*c**5/40 + 3*c**4/2 + 7*c**3 + 12*c**2 - c + 20. Let x(k) = 0. What is k?\n'

Answer: '-2, -1, 4\n'


Question: 'Let m be 46/110 + 6/33. Suppose 4*i + 5*l - 1 = 22, 20 = 4*i + 4*l. Factor -m*u**3 + 0 + 0*u**i + 0*u.\n'

Answer: '-3*u**3/5\n'


Question: 'Factor -56/5*k**4 - 6/5*k**2 + 0 + 37/5*k**3 + 0*k.\n'

Answer: '-k**2*(7*k - 2)*(8*k - 3)/5\n'


Question: 'What is x in 0*x + 4/7*x**3 + 0 - 20/7*x**2 = 0?\n'

Answer: '0, 5\n'


Question: 'Let g be 16/11*(-1203)/(-802). Factor -g + 14/11*d**2 + 8/11*d + 2/11*d**3.\n'

Answer: '2*(d - 1)*(d + 2)*(d + 6)/11\n'


Question: 'Let w = -30 - -31. Let v(r) = -r**5 + r**4 + r**2 + r + 1. Let c(b) = 2*b**5 - 5*b**4 + 7*b**2 + 4*b + 4. Let n(g) = w*c(g) - 4*v(g). Solve n(f) = 0.\n'

Answer: '-1/2, 0, 1\n'


Question: 'Let i(t) = -8*t + 93. Let x be i(11). Let v(u) be the third derivative of 1/12*u**4 + 0 + 8*u**2 + 1/3*u**3 + 1/120*u**x + 0*u. Suppose v(l) = 0. What is l?\n'

Answer: '-2\n'


Question: 'Let i(q) be the first derivative of q**5/5 + q**4 + 4*q**3/3 + 61. What is n in i(n) = 0?\n'

Answer: '-2, 0\n'


Question: 'Let o = -335/8 - -385/8. Factor -5/2*i - o - 1/4*i**2.\n'

Answer: '-(i + 5)**2/4\n'


Question: 'Let r(q) be the third derivative of -q**7/42 + 5*q**6/12 - 3*q**5/4 + q**2 - 8. Factor r(n).\n'

Answer: '-5*n**2*(n - 9)*(n - 1)\n'


Question: 'Let z(t) = -31*t**3 - 63*t**2 - 182*t. Let k(g) = -208*g**3 - 440*g**2 - 1272*g. Let q(r) = -3*k(r) + 20*z(r). Factor q(i).\n'

Answer: '4*i*(i + 4)*(i + 11)\n'


Question: 'Let z(g) = g - 3*g + 5 + 1. Let i be z(-6). Let -i*k**3 + 5 - 4*k - 10*k - 30*k**2 - 7 = 0. Calculate k.\n'

Answer: '-1, -1/3\n'


Question: 'Let g be ((-8)/(-16))/((-4)/46) - -6. Factor 3/4*l - 1/4*l**2 + g*l**4 - 3/4*l**3 + 0.\n'

Answer: 'l*(l - 3)*(l - 1)*(l + 1)/4\n'


Question: 'Suppose 4*k + 0*k = 2*b - 28, 0 = b + 2*k + 6. Let q(g) = g**2 - 2*g - 3. Let a be q(b). Factor -4*m + m + 2*m**2 + a*m + 0*m.\n'

Answer: '2*m*(m + 1)\n'


Question: 'Let l(n) = n**2 - 7*n + 8. Suppose 4 = q - 2. Let y be l(q). Factor 14*g**3 - 16*g - 9*g**3 + 3*g**3 - 12*g**y + 16 + 4*g**4.\n'

Answer: '4*(g - 1)**2*(g + 2)**2\n'


Question: 'Let x(b) be the second derivative of 3*b + 0 + 2*b**3 - 18/5*b**2 - 5/12*b**4. Factor x(n).\n'

Answer: '-(5*n - 6)**2/5\n'


Question: 'Let b be 108/6*((-7)/2 - -3). Let d(o) = -o**3 - 10*o**2 - 9*o. Let v be d(b). What is p in 0 + 2/9*p**3 + v*p + 2/9*p**4 - 4/9*p**2 = 0?\n'

Answer: '-2, 0, 1\n'


Question: 'Let g(r) = 70*r + 2. Let w be g(-2). Let s be w/(-33) + (-2)/11. What is u in -u**s - 28*u**5 - 2*u**4 + 29*u**5 + 2*u**3 = 0?\n'

Answer: '0, 1, 2\n'


Question: 'Let m be 6 - 21 - (1 + -4). Let g = m + 13. Solve 3/2*a**3 + 7/2*a - 4*a**2 - g = 0.\n'

Answer: '2/3, 1\n'


Question: 'Let g(j) be the third derivative of -j**7/945 + 13*j**6/270 - 49*j**5/270 + 2*j**4/9 + 87*j**2 - 2*j. Factor g(m).\n'

Answer: '-2*m*(m - 24)*(m - 1)**2/9\n'


Question: 'Let y(v) be the third derivative of 121/39*v**3 - 11/78*v**4 + 1/390*v**5 - 24*v**2 + 0 + 0*v. Factor y(r).\n'

Answer: '2*(r - 11)**2/13\n'


Question: 'Factor -3*c**3 + 5*c**2 + 4*c**2 + c**3 + 5*c**3 + 0*c + 6*c.\n'

Answer: '3*c*(c + 1)*(c + 2)\n'


Question: 'Let b = 363/380 - 27/76. Let k = -34/15 + 43/15. Factor 0 + b*m**2 - k*m.\n'

Answer: '3*m*(m - 1)/5\n'


Question: 'Factor -50/11 + 51/11*o - 1/11*o**2.\n'

Answer: '-(o - 50)*(o - 1)/11\n'


Question: 'Factor -12/5*y**2 - 1/5 + 2*y**3 + 6/5*y - 3/5*y**4.\n'

Answer: '-(y - 1)**3*(3*y - 1)/5\n'


Question: 'Suppose -2*s - 2 = 0, 32 = 5*j - 4*s + 18. Let f be (-8*j/28)/(4/(-14)). Solve 5/2*a**f + 40 + 20*a = 0.\n'

Answer: '-4\n'


Question: 'Let l(u) = u**2 - u + 45. Let f be l(13). Let y = 1411/7 - f. Solve 2/7*r + 0 + y*r**2 + 2/7*r**3 = 0.\n'

Answer: '-1, 0\n'


Question: 'Let x(a) be the first derivative of -2/5*a**2 + 22 - 2/5*a - 2/15*a**3. Factor x(i).\n'

Answer: '-2*(i + 1)**2/5\n'


Question: 'Let z(r) be the second derivative of -9*r**5/20 - 11*r**4/12 - r**3/3 - 16*r - 5. Solve z(s) = 0 for s.\n'

Answer: '-1, -2/9, 0\n'


Question: 'Let u be 2 + 0 + 1 + 1. What is h in 204*h**3 - 16*h - 184*h**3 + h**4 - 32 + 4*h**4 - h**u + 24*h**2 = 0?\n'

Answer: '-2, 1\n'


Question: 'Let o(a) be the second derivative of -a**5/160 - a**4/48 + 5*a**3/48 + 3*a**2/8 - 63*a. Factor o(g).\n'

Answer: '-(g - 2)*(g + 1)*(g + 3)/8\n'


Question: 'Let a(k) = -k**3 - 11*k**2 + 12*k. Let h be a(-12). Let y = h - -4. Suppose 2*c**4 + 2*c**4 - 2*c**y - 8*c - 8*c**3 + 12*c**2 + 2 = 0. Calculate c.\n'

Answer: '1\n'


Question: 'Let z(x) be the first derivative of -x**4 - 248*x**3/3 + 126*x**2 + 49. Let z(q) = 0. What is q?\n'

Answer: '-63, 0, 1\n'


Question: 'Let w = 93/11 + -421/55. Factor -y + w*y**2 + 1/5.\n'

Answer: '(y - 1)*(4*y - 1)/5\n'


Question: 'Suppose -4*b - 4 = -3*b. Let n(i) = 2*i**4 - 10*i**3 + 2*i**2 - 6*i. Let m(c) = -2*c**4 + 11*c**3 - c**2 + 7*c. Let x(o) = b*m(o) - 5*n(o). Factor x(l).\n'

Answer: '-2*l*(l - 1)**3\n'


Question: 'Let d(u) = -u**3 - 9*u**2 - 18*u - 10. Let g(j) = -3*j**3 - 35*j**2 - 72*j - 40. Let c(w) = 22*d(w) - 6*g(w). Factor c(h).\n'

Answer: '-4*(h - 5)*(h + 1)**2\n'


Question: 'Let d(j) = -j + 8. Let f be d(5). Suppose -5*c = -4*t - 14 - 9, c - 9 = f*t. Solve 1/3*b**c + 0 + 1/3*b**2 + 0*b = 0 for b.\n'

Answer: '-1, 0\n'


Question: 'Let k(p) be the second derivative of 1/20*p**4 + 21*p - 3/10*p**3 + 3/5*p**2 + 0. Solve k(v) = 0.\n'

Answer: '1, 2\n'


Question: 'Let a(p) be the second derivative of 3*p**5/80 + 27*p**4/4 + 729*p**3/2 - 22*p + 2. Factor a(u).\n'

Answer: '3*u*(u + 54)**2/4\n'


Question: 'Let l(v) = -4*v**2 + 5*v - 4. Let t(y) = -7*y**2 + 9*y - 8. Let d(u) = 5*l(u) - 3*t(u). Let a be d(0). Factor 0*j + 0 + 3/4*j**5 - 1/2*j**2 + 7/4*j**3 - 2*j**a.\n'

Answer: 'j**2*(j - 1)**2*(3*j - 2)/4\n'


Question: 'Let h(j) be the second derivative of -j**4/4 - 22*j**3 - 202*j. Factor h(v).\n'

Answer: '-3*v*(v + 44)\n'


Question: 'Let y(t) be the first derivative of t**3/3 + 40*t**2 - 81*t + 498. Solve y(o) = 0.\n'

Answer: '-81, 1\n'


Question: 'Let g(n) = -6*n**4 + 35*n**3 + 263*n**2 - 1000*n + 722. Let q(z) = -5*z**4 + 35*z**3 + 261*z**2 - 1001*z + 722. Let i(y) = 6*g(y) - 7*q(y). Solve i(h) = 0.\n'

Answer: '-19, 1, 2\n'


Question: 'Solve -2*o**2 + 28 + 13*o + 8*o + 5*o = 0.\n'

Answer: '-1, 14\n'


Question: 'Let h = 4917 + -24584/5. Factor 4/5*o + 0 + h*o**2.\n'

Answer: 'o*(o + 4)/5\n'


Question: 'Suppose r - 5*r = f + 1268, 3*r - 5*f = -951. Let s = r + 322. Factor 3/2*v**s + 0*v**4 + 0*v**2 - 3*v**3 + 0 + 3/2*v.\n'

Answer: '3*v*(v - 1)**2*(v + 1)**2/2\n'


Question: 'Suppose -83 + 95 = 4*b. Find s such that -1/5*s - 1/5 + 1/5*s**2 + 1/5*s**b = 0.\n'

Answer: '-1, 1\n'


Question: 'Let n be (-28)/1274*56/(-4). Suppose 0*q - 10/13*q**3 + 0 - n*q**2 = 0. What is q?\n'

Answer: '-2/5, 0\n'


Question: 'Let u(b) = 2*b**3 - 12*b**2 + b - 3. Let n be u(6). Let g(v) be the first derivative of -2/3*v**3 + 0*v + v**2 + n. Let g(d) = 0. Calculate d.\n'

Answer: '0, 1\n'


Question: 'Let p = 9 - 2. Let z(c) = c**3 - 7*c**2 + 4. Let k be z(p). Find l, given that -11*l + 6*l**k - 9*l**3 + 9*l**2 - 3*l**4 + 8*l = 0.\n'

Answer: '0, 1\n'


Question: 'Suppose 4*s + 4779 - 4799 = 0. Determine r, given that 0 - 5/4*r**2 + s*r = 0.\n'

Answer: '0, 4\n'


Question: 'Let w(j) be the first derivative of 2/3*j**3 + 0*j + 2/3*j**2 - 4 - 5/6*j**4. Find m, given that w(m) = 0.\n'

Answer: '-2/5, 0, 1\n'


Question: 'Let p be -1 + 3 - (-1015)/(-650). Let k = p - 1/26. Factor -2/5*r**2 + 0*r + 0 - k*r**3.\n'

Answer: '-2*r**2*(r + 1)/5\n'


Question: 'Let x(c) be the second derivative of 4*c**7 + 8/9*c**3 - 58/15*c**6 + 23*c + 0*c**2 + 8/3*c**4 + 0 - 43/15*c**5. Find f, given that x(f) = 0.\n'

Answer: '-1/2, -1/7, 0, 2/3\n'


Question: 'Let j(g) be the first derivative of -g**7/840 + g**5/40 - g**4/12 + 10*g**3 + 33. Let z(r) be the third derivative of j(r). Factor z(m).\n'

Answer: '-(m - 1)**2*(m + 2)\n'


Question: 'Let i(l) be the second derivative of -5*l**4/12 + 15*l**3/2 + 90*l**2 + 186*l. Factor i(d).\n'

Answer: '-5*(d - 12)*(d + 3)\n'


Question: 'Let k(i) = 372*i + 2976. Let g be k(-8). Factor 3/7*n**4 + g + 24/7*n + 30/7*n**3 + 51/7*n**2.\n'

Answer: '3*n*(n + 1)**2*(n + 8)/7\n'


Question: 'Let p(y) be the third derivative of -1/15*y**5 + 0 + 2/3*y**4 - 8/3*y**3 + 0*y - 16*y**2. Factor p(f).\n'

Answer: '-4*(f - 2)**2\n'


Question: 'Let r(y) be the third derivative of -9*y**5/20 - 457*y**4/8 + 51*y**3 - 49*y**2. Factor r(d).\n'

Answer: '-3*(d + 51)*(9*d - 2)\n'


Question: 'Let o(r) be the second derivative of -r**4/66 + 269*r**3/33 - 268*r**2/11 + 37*r - 5. Factor o(z).\n'

Answer: '-2*(z - 268)*(z - 1)/11\n'


Question: 'Suppose -6/5*f**2 + 2/15*f**4 + 22/15*f + 2/15*f**3 - 8/15 = 0. What is f?\n'

Answer: '-4, 1\n'


Question: 'Let r be 8/(-1*2) - (-25277)/6280. Let q(w) be the third derivative of 5*w**2 - r*w**5 + 0*w + 0 + 0*w**3 + 1/16*w**4. Factor q(z).\n'

Answer: '-3*z*(z - 1)/2\n'


Question: 'Let z(f) = -f**4 + 4*f**2 + 6*f. Let v(u) = -3*u**4 - u**3 + 11*u**2 + 17*u. Let g(d) = -3*v(d) + 8*z(d). Solve g(s) = 0 for s.\n'

Answer: '-3, -1, 0, 1\n'


Question: 'Suppose -26 = -4*n - 2*y, 3*y + 5 = 20. Let b be -4 - (2 - 4 - n). Find g, given that -10*g**5 + 5*g**5 - 44*g - 7*g**5 + 56*g**3 + 8*g**b - 20*g**4 + 12 = 0.\n'

Answer: '-3, -1, 1/3, 1\n'


Question: 'Let o = 22/1907 - -39644/200235. Let w = 16/15 - o. Factor w*h**2 - 6/7 - 3/7*h + 3/7*h**3.\n'

Answer: '3*(h - 1)*(h + 1)*(h + 2)/7\n'


Question: 'Let m(v) be the first derivative of 1/4*v**4 + 0*v + 0*v**2 + 1/10*v**5 - 7 + 1/6*v**3. Factor m(n).\n'

Answer: 'n**2*(n + 1)**2/2\n'


Question: 'Solve -109 - 235*x**2 - 15*x**5 + 169 - 17*x + 117*x + 35*x**3 + 55*x**4 = 0 for x.\n'

Answer: '-2, -1/3, 1, 2, 3\n'


Question: 'Let o = 1/22059 - -110293/44118. Solve 5*p**2 + o*p**3 - p**4 - 2*p - 1/2*p**5 - 4 = 0.\n'

Answer: '-2, -1, 1, 2\n'


Question: 'Let g(c) = -c**3 - 6*c**2 + 2*c + 12. Let r be g(-6). Let s(o) be the third derivative of r + o**2 + 0*o - 1/40*o**5 + 0*o**3 - 1/8*o**4. Factor s(y).\n'

Answer: '-3*y*(y + 2)/2\n'


Question: 'Let v(r) be the third derivative of -r**6/960 + r**5/120 - r**4/48 + 69*r**2 + 1. Find y such that v(y) = 0.\n'

Answer: '0, 2\n'


Question: 'Let f(v) = 13*v**2 - 17*v + 4. Let o(h) = 14*h**2 - 18*h + 4. Let p(d) = 2*f(d) - 3*o(d). Factor p(l).\n'

Answer: '-4*(l - 1)*(4*l - 1)\n'


Question: 'Let o(a) be the first derivative of 1/39*a**6 + 4/39*a**3 - 2/65*a**5 - 1/13*a**4 + 1/13*a**2 - 2/13*a - 25. What is f in o(f) = 0?\n'

Answer: '-1, 1\n'


Question: 'Let i(z) be the first derivative of -z**5/25 - z**4/4 - 3*z**3/5 - 7*z**2/10 - 2*z/5 - 260. Let i(y) = 0. What is y?\n'

Answer: '-2, -1\n'


Question: 'Let m(c) be the second derivative of c**4/3 + 226*c**3/3 - 565*c - 1. Factor m(i).\n'

Answer: '4*i*(i + 113)\n'


Question: 'Let t be (-2 + 3)*6/4. Factor t*y**2 + 9/2 - 6*y.\n'

Answer: '3*(y - 3)*(y - 1)/2\n'


Question: 'Factor 0 + 6/5*v**3 + 18/5*v**2 - 2/5*v**4 + 2*v.\n'

Answer: '-2*v*(v - 5)*(v + 1)**2/5\n'


Question: 'Let d = 22 + -19. Suppose k - 8 = -d*k. Factor -12*z**3 + 32*z**3 - z**5 + 11*z**5 + 4*z**k + 25*z**4 + z**2.\n'

Answer: '5*z**2*(z + 1)**2*(2*z + 1)\n'


Question: 'Let z = -285023/15 - -19003. Suppose 0 - z*h + 2/15*h**2 = 0. Calculate h.\n'

Answer: '0, 11\n'


Question: 'Suppose -12/5*t**4 + 48/5*t**2 - 16/5*t**5 + 68/5*t**3 + 0 - 16/5*t = 0. Calculate t.\n'

Answer: '-2, -1, 0, 1/4, 2\n'


Question: 'Let r = 764 + -4571/6. Let j(s) be the first derivative of -13/8*s**2 + r*s**3 + 1/2*s - 15/16*s**4 + 1. Factor j(c).\n'

Answer: '-(c - 1)*(3*c - 1)*(5*c - 2)/4\n'


Question: 'Let w = 58866/102991 + -2/14713. Factor -2/7 + 0*z**2 + w*z + 2/7*z**4 - 4/7*z**3.\n'

Answer: '2*(z - 1)**3*(z + 1)/7\n'


Question: 'Let l be (9/2)/((-24)/(-32)). Let g(n) = n**3 + 10*n**2. Let h(f) = -10*f**2. Let t(x) = l*h(x) + 5*g(x). Factor t(m).\n'

Answer: '5*m**2*(m - 2)\n'


Question: 'Let m(r) be the third derivative of 0*r - 1/360*r**6 - 37/72*r**4 + 1/9*r**5 + r**3 + 1 + 7*r**2. Factor m(c).\n'

Answer: '-(c - 18)*(c - 1)**2/3\n'


Question: 'Let s be ((-6)/2)/(3/(-2)). Let r be (-35)/20*(-648)/378. Factor -4/7*u**s + 0*u + 2/7*u**4 + 0 + 2/7*u**r.\n'

Answer: '2*u**2*(u - 1)*(u + 2)/7\n'


Question: 'Let q(p) = p**2 + 10*p + 25. Let l be q(-10). Let w(g) = g**2 + g. Let a(i) = -5*i**3 - 60*i**2 - 100*i - 45. Let d(r) = l*w(r) + a(r). Solve d(y) = 0 for y.\n'

Answer: '-3, -1\n'


Question: 'Let r(q) be the second derivative of 7*q**5/20 - q**4/12 + q**3/2 + q**2/2 - 12*q. Let g(k) = 3*k**3 + k. Let p(w) = -5*g(w) + 2*r(w). Factor p(y).\n'

Answer: '-(y - 1)*(y + 1)*(y + 2)\n'


Question: 'Let h(z) be the first derivative of -z**4/2 + 182*z**3/3 - 2024*z**2 - 4232*z + 221. Factor h(u).\n'

Answer: '-2*(u - 46)**2*(u + 1)\n'


Question: 'Factor 3/7 + 5/7*n**3 - 17/7*n + 9/7*n**2.\n'

Answer: '(n - 1)*(n + 3)*(5*n - 1)/7\n'


Question: 'Let o(v) be the third derivative of -1/60*v**6 + 0 - 8*v**2 + 0*v**3 - 1/30*v**5 + 1/6*v**4 + 0*v. What is i in o(i) = 0?\n'

Answer: '-2, 0, 1\n'


Question: 'Factor -5/4*a + 3/4*a**2 + 0.\n'

Answer: 'a*(3*a - 5)/4\n'


Question: 'Let w be 1 - (-1)/3 - 270/405. Let -w*l**4 - 4/3*l + 0*l**2 + 2/3 + 4/3*l**3 = 0. What is l?\n'

Answer: '-1, 1\n'


Question: 'Let k(x) be the first derivative of -3/80*x**5 - 1/2*x**2 - 3*x + 5 - 11/48*x**4 - 1/2*x**3. Let h(r) be the first derivative of k(r). What is g in h(g) = 0?\n'

Answer: '-2, -1, -2/3\n'


Question: 'Let a be ((-14)/63)/(((-30)/27)/10). Factor 0*d**a + 0*d + 4/3*d**4 + 0*d**3 + 0.\n'

Answer: '4*d**4/3\n'


Question: 'Factor 176/7*h - 160/7 - 58/7*h**2 + 6/7*h**3.\n'

Answer: '2*(h - 4)**2*(3*h - 5)/7\n'


Question: 'Let r(m) = -m**2 - 5*m - 3. Let s be r(-3). Let l = 108/37 + -395/148. Let -5/4*d - l*d**s - d**2 - 1/2 = 0. What is d?\n'

Answer: '-2, -1\n'


Question: 'Let f = -7162 + 7166. Let -12/5*h**2 - 14/5*h**3 + 4/5 + 14/5*h + 8/5*h**f = 0. What is h?\n'

Answer: '-1, -1/4, 1, 2\n'


Question: 'Factor 1/3*u**3 + 17/3*u - 10/3*u**2 - 8/3.\n'

Answer: '(u - 8)*(u - 1)**2/3\n'


Question: 'Let o be ((-6)/(-4))/(3 + 1782/(-600)). Let p be ((-4)/o)/((-8)/45)*4. Determine i so that 3/5 - 9/5*i + p*i**2 - 3/5*i**3 = 0.\n'

Answer: '1\n'


Question: 'Let q(n) = 5*n - 90. Let i be q(18). Let t(w) be the first derivative of 0*w**3 + 0*w**2 + i*w - 9/5*w**5 - 3 + 5/2*w**6 - 3/2*w**4. Factor t(j).\n'

Answer: '3*j**3*(j - 1)*(5*j + 2)\n'


Question: 'Suppose 208/7 + 428/7*t**2 - 848/7*t - 4*t**3 = 0. Calculate t.\n'

Answer: '2/7, 2, 13\n'


Question: 'Let f(o) be the second derivative of -o**4/96 + 7*o**3/48 + o + 288. Suppose f(l) = 0. Calculate l.\n'

Answer: '0, 7\n'


Question: 'Let l(g) = -800 - 86*g - 42*g - 42*g - 3*g**2. Let v(f) = 20*f**2 + 1104*f + 5200. Let x(n) = 32*l(n) + 5*v(n). Determine b so that x(b) = 0.\n'

Answer: '-10\n'


Question: 'Let h(d) be the third derivative of 0*d**3 + 0*d - 25/1344*d**8 - 8*d**2 - 1/12*d**4 + 1/80*d**6 + 0 + 11/168*d**7 - 7/60*d**5. Suppose h(y) = 0. What is y?\n'

Answer: '-2/5, 0, 1, 2\n'


Question: 'Let k(h) be the third derivative of -h**7/42 + 7*h**5/12 - 5*h**4/4 + 132*h**2. What is a in k(a) = 0?\n'

Answer: '-3, 0, 1, 2\n'


Question: 'Suppose 0*v + 0 + 0*v**2 + 2/5*v**3 = 0. Calculate v.\n'

Answer: '0\n'


Question: 'Factor -12/7*k**2 - 9/7*k + 3/7.\n'

Answer: '-3*(k + 1)*(4*k - 1)/7\n'


Question: 'Let d(l) = 12*l**2 + 168*l - 175. Let k(q) = 17*q**2 + 252*q - 262. Let x(f) = 7*d(f) - 5*k(f). Factor x(n).\n'

Answer: '-(n - 1)*(n + 85)\n'


Question: 'Let k(m) = 5*m**3 - 79*m**2 + 248*m. Let q(w) = w**3 - 16*w**2 + 48*w. Let o(u) = -2*k(u) + 11*q(u). Factor o(h).\n'

Answer: 'h*(h - 16)*(h - 2)\n'


Question: 'Let w be -3*(-92)/(-24)*-2. Suppose -20*i - 51*i**2 + 21*i**2 - w*i**3 + 3*i**3 - 5*i**4 - 5 = 0. Calculate i.\n'

Answer: '-1\n'


Question: 'Let q be (-3)/(-5) - -6*21/40. Let p be (-38)/(-8) - 2/(-4). Let 0 + 3/2*d - q*d**2 - p*d**3 = 0. Calculate d.\n'

Answer: '-1, 0, 2/7\n'


Question: 'Let m(c) be the first derivative of 3*c**5/20 + 9*c**4/8 + 3*c**3/4 - 15*c**2/4 + 21. Solve m(n) = 0 for n.\n'

Answer: '-5, -2, 0, 1\n'


Question: 'Let u(t) = t + 1. Let h(i) = 3*i + 5. Let d(v) = -h(v) + 2*u(v). Let k be d(-7). What is x in -15/2*x**5 + 0*x - 9/2*x**k + 0 + 0*x**2 + 3*x**3 = 0?\n'

Answer: '-1, 0, 2/5\n'


Question: 'Let g(j) be the first derivative of -5*j**6/3 - 19*j**5 - 15*j**4/4 + 265*j**3/3 - 55*j**2/2 - 90*j - 507. Find n such that g(n) = 0.\n'

Answer: '-9, -2, -1/2, 1\n'


Question: 'Let b(i) = -8*i**3 - 36*i**2 - 68*i - 30. Let y(a) = -9*a**3 - 36*a**2 - 69*a - 30. Let m(g) = -6*b(g) + 5*y(g). Factor m(n).\n'

Answer: '3*(n + 1)**2*(n + 10)\n'


Question: 'Let z be (2/(-24))/((-1)/2). Suppose 0 = 2*j + 5*n - 30, 2*j + 3*j = 4*n + 9. Factor -1/3*k**3 + 1/6*k**j + 0*k**4 + 0 + 0*k**2 + z*k.\n'

Answer: 'k*(k - 1)**2*(k + 1)**2/6\n'


Question: 'Let i(h) be the second derivative of 4*h**7/21 + 9*h**6/5 - 11*h**5/10 - 9*h**4/2 + 7*h**3/3 + 38*h. Let i(r) = 0. What is r?\n'

Answer: '-7, -1, 0, 1/4, 1\n'


Question: 'Determine c, given that 60*c**3 - 43*c**4 - 47*c**3 + 44*c**4 = 0.\n'

Answer: '-13, 0\n'


Question: 'Let m(c) = 25*c - 1300. Let a be m(52). Find r such that -2/19*r**4 + 8/19*r**3 + a*r - 8/19*r**2 + 0 = 0.\n'

Answer: '0, 2\n'


Question: 'What is k in -1/4*k**4 - 11/2*k + 121/4 + 11/2*k**3 - 30*k**2 = 0?\n'

Answer: '-1, 1, 11\n'


Question: 'Let y(m) be the second derivative of 1/70*m**5 - m**2 + 0*m**3 + 1/84*m**4 + 0 + m. Let t(a) be the first derivative of y(a). Suppose t(w) = 0. Calculate w.\n'

Answer: '-1/3, 0\n'


Question: 'Let t(b) be the first derivative of b**5/150 + b**4/15 + b**3/5 + 5*b**2 - 1. Let v(m) be the second derivative of t(m). Determine s so that v(s) = 0.\n'

Answer: '-3, -1\n'


Question: 'Let l(p) be the second derivative of 27*p**5/20 - 35*p**4/2 - 8*p**3 + 288*p. Factor l(s).\n'

Answer: '3*s*(s - 8)*(9*s + 2)\n'


Question: 'Suppose -10/13*k**2 - 72/13 - 58/13*k = 0. What is k?\n'

Answer: '-4, -9/5\n'


Question: 'Let q(t) be the third derivative of -t**7/50 + 11*t**6/150 - t**5/75 - 50*t**2. Factor q(h).\n'

Answer: '-h**2*(h - 2)*(21*h - 2)/5\n'


Question: 'Let b(n) = -14*n**3 + 4*n**2 + 2*n - 12. Let o(w) = 3*w**3 + w**2 + 1. Let u(q) = -b(q) - 4*o(q). Solve u(t) = 0.\n'

Answer: '-1, 1, 4\n'


Question: 'Let s(f) be the second derivative of 1/150*f**5 - 7/15*f**2 + 7/90*f**4 + 25*f - 1/45*f**3 + 0. Factor s(a).\n'

Answer: '2*(a - 1)*(a + 1)*(a + 7)/15\n'


Question: 'Suppose -4*o + 5*l + 28 = 0, -o + 7*l = 6*l - 6. Find m such that 1/7*m**3 + 1/7*m**o - 1/7*m - 1/7 = 0.\n'

Answer: '-1, 1\n'


Question: 'Let v be 2*(1 + (-1)/2). Suppose b - v = g, -6*g + g = 3*b - 35. Find y, given that -y - y + 3*y**5 + 4*y**2 + 0*y - y**b - 4*y**4 = 0.\n'

Answer: '-1, 0, 1\n'


Question: 'Let t(m) = -m**2 - 22*m - 82. Let z be t(-5). Let i(j) be the first derivative of 1/6*j**z - 10 - 1/2*j + 1/16*j**4 - 1/8*j**2. What is r in i(r) = 0?\n'

Answer: '-2, -1, 1\n'


Question: 'Let l(u) be the third derivative of -u**5/240 - 31*u**4/32 + 47*u**3/12 - 176*u**2. Factor l(h).\n'

Answer: '-(h - 1)*(h + 94)/4\n'


Question: 'Let 24/7*t + 47/7*t**3 + 1/7*t**5 + 13/7*t**4 + 0 + 59/7*t**2 = 0. Calculate t.\n'

Answer: '-8, -3, -1, 0\n'


Question: 'Let h = 15 + -11. Suppose -3*n = -o + 5, -3*n + h*o - 20 = 2*n. Determine u, given that 0*u + n - 2/7*u**2 + 2/7*u**3 = 0.\n'

Answer: '0, 1\n'


Question: 'Let a be 86/473 - 1/((-528)/113). Let k(r) be the second derivative of -a*r**4 - r - 1/2*r**2 + 0 - 11/12*r**3 - 9/160*r**5. Factor k(u).\n'

Answer: '-(u + 2)**2*(9*u + 2)/8\n'


Question: 'Suppose -46*t - 64*t = 0. Let x(r) be the first derivative of t*r + 0*r**3 + 1 - r**4 + 8/5*r**5 - 2/3*r**6 + 0*r**2. Factor x(m).\n'

Answer: '-4*m**3*(m - 1)**2\n'


Question: 'Let g = 22441 + -22439. Factor 2/9*q**3 + 98/9 - 26/9*q**g + 70/9*q.\n'

Answer: '2*(q - 7)**2*(q + 1)/9\n'


Question: 'Factor 1/4*t**2 - 79/2*t + 6241/4.\n'

Answer: '(t - 79)**2/4\n'


Question: 'Suppose 5*k + 7 = -2*l - 0*k, 3*k = -2*l - 1. Let z(n) be the second derivative of -1/6*n**l + 0 + 3*n - 2/3*n**3 - n**2. Factor z(y).\n'

Answer: '-2*(y + 1)**2\n'


Question: 'Let s(g) be the first derivative of 6/7*g + 1/21*g**3 + 1/2*g**2 - 1. Factor s(i).\n'

Answer: '(i + 1)*(i + 6)/7\n'


Question: 'Let r(s) be the third derivative of s**8/84 - 2*s**7/21 - s**6/30 + s**5/3 - 90*s**2. Factor r(b).\n'

Answer: '4*b**2*(b - 5)*(b - 1)*(b + 1)\n'


Question: 'Determine r, given that 2*r + 1/4*r**3 + 4 - 7/4*r**2 = 0.\n'

Answer: '-1, 4\n'


Question: 'Let x(w) be the second derivative of -1/10*w**5 + 1/18*w**4 + 0*w**3 + 12*w + 0 + 0*w**2 - 1/63*w**7 + 1/15*w**6. Factor x(z).\n'

Answer: '-2*z**2*(z - 1)**3/3\n'


Question: 'Let i(v) = -v**2 - 21*v - 18. Let b be i(-20). Suppose -14*h + 2 - 9 - 2*h**3 + 1 - 10*h**b = 0. What is h?\n'

Answer: '-3, -1\n'


Question: 'Let o be -6 + 7 + 4*(-3)/(-6). Factor -b**2 - b**2 + 11*b - 13*b + 6 + 2*b**o - 4.\n'

Answer: '2*(b - 1)**2*(b + 1)\n'


Question: 'Let r(u) be the first derivative of u**6/180 - 11*u**5/240 - u**4/16 - 31*u**3/3 - 16. Let p(b) be the third derivative of r(b). Suppose p(y) = 0. What is y?\n'

Answer: '-1/4, 3\n'


Question: 'Let l(g) = -g**4 - 2*g**3 + 6*g**2 + 8*g + 2. Let u(t) = -5*t**4 - 10*t**3 + 31*t**2 + 40*t + 11. Let p = 36 + -30. Let n(s) = p*u(s) - 33*l(s). Factor n(k).\n'

Answer: '3*k*(k - 2)*(k + 2)**2\n'


Question: 'Suppose h - 8 = -3*f, f + 77*h = 82*h - 8. Determine j, given that 3/4*j**f + 9/4*j + 3/2 = 0.\n'

Answer: '-2, -1\n'


Question: 'Let r(n) be the first derivative of 10/3*n**6 + 5/3*n**3 + 9*n**5 + 0*n**2 + 15/2*n**4 - 14 + 0*n. Suppose r(u) = 0. What is u?\n'

Answer: '-1, -1/4, 0\n'


Question: 'Suppose 18*u = -0*u. Let o(j) be the first derivative of 0*j + 2/35*j**5 + 1/14*j**4 - 4/21*j**3 + u*j**2 - 4. Factor o(s).\n'

Answer: '2*s**2*(s - 1)*(s + 2)/7\n'


Question: 'Determine g, given that 1/3*g + 1/6*g**2 - 4 = 0.\n'

Answer: '-6, 4\n'


Question: 'Let o(f) be the first derivative of 24 + 0*f**4 - 2*f - 2/5*f**5 + 0*f**2 + 4/3*f**3. Solve o(i) = 0.\n'

Answer: '-1, 1\n'


Question: 'Let n = -34 - -33. Let j be -3 + 1 - (5 + -1)*n. Solve -2/5 - 4/5*c - 2/5*c**j = 0 for c.\n'

Answer: '-1\n'


Question: 'Let l(h) = 4*h + 1. Let w(c) = -c. Let b(i) = -l(i) - 5*w(i). Let r be b(3). Factor -18 - j**2 + 21*j + j**r - 9*j - 2*j**2.\n'

Answer: '-2*(j - 3)**2\n'


Question: 'Let m(j) be the first derivative of j**7/4200 + j**6/450 - 14*j**3/3 + 18. Let g(d) be the third derivative of m(d). Factor g(h).\n'

Answer: 'h**2*(h + 4)/5\n'


Question: 'Let j = 176 + -177. Let h be j + 5 + 8 + (-160)/15. Factor 2/3*r**2 + 0 + h*r.\n'

Answer: '2*r*(r + 2)/3\n'


Question: 'Let h(q) be the third derivative of -q**6/960 - 19*q**5/480 - 292*q**2. Factor h(j).\n'

Answer: '-j**2*(j + 19)/8\n'


Question: 'Let g(z) be the second derivative of -z**8/20160 + z**7/7560 + z**4 + 8*z. Let a(y) be the third derivative of g(y). Factor a(j).\n'

Answer: '-j**2*(j - 1)/3\n'


Question: 'Suppose -4*v = p - 4*p - 28, 0 = 3*v + 2*p - 4. Let q(i) be the first derivative of v - 14*i + 3*i**3 + 14*i - 2*i**3. Factor q(r).\n'

Answer: '3*r**2\n'


Question: 'Let m(o) be the second derivative of o + 0 + 4/3*o**2 - 2/3*o**3 + 1/9*o**4. Solve m(f) = 0.\n'

Answer: '1, 2\n'


Question: 'Let i = -21 - -23. Factor 18*x**4 + 3*x - 2*x**4 - 15*x - 8*x - 8*x**i - 8 + 16*x**3 + 4*x**5.\n'

Answer: '4*(x - 1)*(x + 1)**3*(x + 2)\n'


Question: 'Let d(q) be the second derivative of q**7/315 + q**6/180 - q**5/45 + 45*q**2/2 - 49*q. Let m(c) be the first derivative of d(c). Solve m(h) = 0.\n'

Answer: '-2, 0, 1\n'


Question: 'Factor 0 + 0*a + 1/3*a**5 - 1/3*a**4 + 1/3*a**2 - 1/3*a**3.\n'

Answer: 'a**2*(a - 1)**2*(a + 1)/3\n'


Question: 'Let -14/9*h + 0 - 2/9*h**2 = 0. What is h?\n'

Answer: '-7, 0\n'


Question: 'Suppose 142 = 62*h - 106. Suppose -h + 2*q - 1/4*q**2 = 0. Calculate q.\n'

Answer: '4\n'


Question: 'Solve -34*w**2 + 26*w**3 + 38 + 36*w**3 - 63*w - 15*w**4 + 38 - 27 + w**5 = 0 for w.\n'

Answer: '-1, 1, 7\n'


Question: 'Let r(b) be the second derivative of -b**6/75 - 7*b**5/25 - 5*b**4/6 - 4*b**3/5 + 32*b. Determine n, given that r(n) = 0.\n'

Answer: '-12, -1, 0\n'


Question: 'Let l(b) be the first derivative of b**4/24 - b**3/3 + 3*b**2/4 + 9*b - 6. Let v(y) be the first derivative of l(y). What is h in v(h) = 0?\n'

Answer: '1, 3\n'


Question: 'Let o(c) = c**3 + 45*c**2 + 166*c + 85. Let x be o(-41). Solve 0 + 0*b + 2/5*b**4 + 2/5*b**2 - 4/5*b**x = 0.\n'

Answer: '0, 1\n'


Question: 'Let o(c) be the second derivative of 13/15*c**4 + 8/5*c**2 + 3/25*c**5 + 32/15*c**3 - 13*c + 0. Factor o(m).\n'

Answer: '4*(m + 2)**2*(3*m + 1)/5\n'


Question: 'Let b(q) be the first derivative of -2*q**5/7 + q**4/2 + 12*q**3/7 - 4*q**2 + 16*q/7 - 111. Let b(u) = 0. What is u?\n'

Answer: '-2, 2/5, 1, 2\n'


Question: 'Let w(z) = z**2 - 92*z - 93. Let f(l) = 2*l**2 - 92*l - 94. Let m(g) = -3*f(g) + 2*w(g). Factor m(j).\n'

Answer: '-4*(j - 24)*(j + 1)\n'


Question: 'Let a be (-14)/(-16) - 1 - (-19124)/(-96). Let w = a - -202. Find i, given that -w - 1/6*i**2 - 4/3*i = 0.\n'

Answer: '-4\n'


Question: 'Let n(i) be the second derivative of i**4/21 + 4*i**3/7 - 2*i**2 - 230*i. Factor n(u).\n'

Answer: '4*(u - 1)*(u + 7)/7\n'


Question: 'Find j, given that 850*j**3 - 448*j**3 + 240 - 480*j**2 - 700*j - 437*j**3 = 0.\n'

Answer: '-12, -2, 2/7\n'


Question: 'Let i(y) be the third derivative of -4/3*y**3 + 8/105*y**7 - 3/10*y**6 - 2/15*y**5 + 0 + 3/2*y**4 + 3*y**2 + 0*y. Solve i(d) = 0 for d.\n'

Answer: '-1, 1/4, 1, 2\n'


Question: 'Let z(p) be the first derivative of -8*p**5 + 15*p**4 + 29 + 30*p + 10/3*p**3 - 65/2*p**2 + 5/6*p**6. Let z(g) = 0. What is g?\n'

Answer: '-1, 1, 6\n'


Question: 'Let u = -12996/5 + 2602. What is m in -18/5*m**2 - 2/5*m**4 - u*m - 2*m**3 - 4/5 = 0?\n'

Answer: '-2, -1\n'


Question: 'Suppose -4*q - 2*m + 20 = 0, -m + 0 = -2*q + 18. Factor -25 - 4*z**4 + 20*z**2 + q*z + 4*z**3 + 25 + 5*z.\n'

Answer: '-4*z*(z - 3)*(z + 1)**2\n'


Question: 'Let r = 1 - -1. Let v = 85521/19 - 4501. Factor -6/19*k**r + v*k + 0 + 6/19*k**3 - 2/19*k**4.\n'

Answer: '-2*k*(k - 1)**3/19\n'


Question: 'Factor -6/11*r**2 + 0 + 2/11*r**3 + 0*r.\n'

Answer: '2*r**2*(r - 3)/11\n'


Question: 'Let g(b) be the third derivative of b**7/1260 - b**6/90 + b**5/20 + 5*b**4/12 - b**2. Let t(s) be the second derivative of g(s). Let t(m) = 0. What is m?\n'

Answer: '1, 3\n'


Question: 'Let u(a) = -19*a**2 + 291*a - 88. Let w be u(15). Factor w*k**4 - 18/5*k**2 - 2/5*k**5 + 0*k - 6/5*k**3 + 0.\n'

Answer: '-2*k**2*(k - 3)**2*(k + 1)/5\n'


Question: 'Suppose -5*n + 2 - 21 = 2*k, -25 = 2*n - 5*k. Let a(o) = 6*o**3 - o**2 - 5. Let m(p) = 5*p**3 - p - 4. Let h(j) = n*m(j) + 4*a(j). Factor h(u).\n'

Answer: '-u*(u - 1)*(u + 5)\n'


Question: 'Let i be (4/(-6))/((-2)/12). Let b(v) be the first derivative of -4*v - 1 + 3 + v**2 + i*v**2 - 2*v**3 - 1. Factor b(g).\n'

Answer: '-2*(g - 1)*(3*g - 2)\n'


Question: 'Suppose -4 = -k, -5*s - 4*k - 2 = -11*s. Factor -8*y - 1/2*y**s + 0 - 4*y**2.\n'

Answer: '-y*(y + 4)**2/2\n'


Question: 'Let q(t) be the first derivative of 8/9*t - 4/9*t**2 + 1/18*t**4 - 2/27*t**3 + 11. Find s, given that q(s) = 0.\n'

Answer: '-2, 1, 2\n'


Question: 'Let m(y) be the third derivative of -4*y**2 - 1/105*y**7 + 1/30*y**5 - 1/168*y**8 + 1/60*y**6 + 0 + 0*y**4 + 0*y + 0*y**3. Factor m(o).\n'

Answer: '-2*o**2*(o - 1)*(o + 1)**2\n'


Question: 'Suppose -5*w - 2*j + 421 = 0, -w + 4*w - 3*j = 261. What is u in -80*u**5 + 35*u**4 + 7*u**4 - 2*u**4 + w*u**2 + 195*u**3 + 10*u = 0?\n'

Answer: '-1, -1/4, 0, 2\n'


Question: 'Suppose -v + 7*v + 108 = 0. Let x = -8 - v. Factor 2*j + 0*j**2 - x*j - 8*j**2 - 8 + 6*j**2.\n'

Answer: '-2*(j + 2)**2\n'


Question: 'Let y = 6751 - 6749. Factor -y - 2/3*x + 2/3*x**3 + 2*x**2.\n'

Answer: '2*(x - 1)*(x + 1)*(x + 3)/3\n'


Question: 'Let b be 1/(-300)*18/27*-3. Let i(o) be the third derivative of -15*o**2 + 0*o**3 - 2/75*o**5 - 1/20*o**6 + 0 + 0*o**4 + 0*o - b*o**7. Factor i(w).\n'

Answer: '-w**2*(w + 4)*(7*w + 2)/5\n'


Question: 'Let u(k) be the second derivative of -k**6/10 - 19*k**5/10 - 29*k**4/4 - 12*k**3 - 10*k**2 - 155*k. Let u(r) = 0. What is r?\n'

Answer: '-10, -1, -2/3\n'


Question: 'Let a be (-6*40/15)/5 - -4. What is w in 0 + 2/15*w**4 + 8/5*w**2 - 16/15*w - a*w**3 = 0?\n'

Answer: '0, 2\n'


Question: 'Suppose -n - 16 = -3*n. Suppose 2*i + 18 = n*i. Factor 23/5*a**2 - 4*a + 4/5 - 7/5*a**i.\n'

Answer: '-(a - 2)*(a - 1)*(7*a - 2)/5\n'


Question: 'Let u(v) be the second derivative of v**8/3360 + v**7/420 - v**6/90 + v**4/6 + 33*v. Let c(j) be the third derivative of u(j). Find f, given that c(f) = 0.\n'

Answer: '-4, 0, 1\n'


Question: 'Let l be ((-3)/9 - -2)*(-224)/(-70). Let -8/3 - 2/3*c**3 - 10/3*c**2 - l*c = 0. Calculate c.\n'

Answer: '-2, -1\n'


Question: 'Let j(l) be the first derivative of -3*l**4/4 + 9*l**2/2 - 6*l - 52. Factor j(f).\n'

Answer: '-3*(f - 1)**2*(f + 2)\n'


Question: 'Let l(g) be the first derivative of 11*g**4/10 - 62*g**3/15 - 6*g**2/5 + 394. Solve l(f) = 0 for f.\n'

Answer: '-2/11, 0, 3\n'


Question: 'Let z(d) be the first derivative of 12*d - 4/5*d**5 + 1 - 4*d**4 + 8*d**2 - 8/3*d**3. Find x such that z(x) = 0.\n'

Answer: '-3, -1, 1\n'


Question: 'Let a be ((-14)/4)/((-2)/(-24)). Let v be ((-112)/30)/2 - (a - -40). Factor -2/15*s**2 - v + 4/15*s.\n'

Answer: '-2*(s - 1)**2/15\n'


Question: 'Factor -24/5*i**2 - 18/5 - 39/5*i - 3/5*i**3.\n'

Answer: '-3*(i + 1)**2*(i + 6)/5\n'


Question: 'Let l(w) = -7*w**3 + 6*w**2 - 18*w. Let t(p) = p**3 - p**2 + 3*p. Let f(b) = l(b) + 6*t(b). Determine s so that f(s) = 0.\n'

Answer: '0\n'


Question: 'Let r be 34/(-3) + (13 - 1). Factor 1/3*t**3 - r - t + 0*t**2.\n'

Answer: '(t - 2)*(t + 1)**2/3\n'


Question: 'Let h(w) be the second derivative of w**7/56 + 7*w**6/120 - w**4/12 + 221*w. Determine c, given that h(c) = 0.\n'

Answer: '-2, -1, 0, 2/3\n'


Question: 'Let l(h) = -h**3 + 14*h**2 - 24*h + 3. Let j be l(12). What is w in w**2 - j*w**3 + 2*w**3 - w**3 - 5*w**2 = 0?\n'

Answer: '-2, 0\n'


Question: 'Solve 0*i - 5/4*i**4 + 15*i**2 + 0 + 5*i**3 = 0.\n'

Answer: '-2, 0, 6\n'


Question: 'Let f(w) be the third derivative of w**5/140 + 3*w**4/56 - 5*w**3/7 + 12*w**2 - 3. Factor f(a).\n'

Answer: '3*(a - 2)*(a + 5)/7\n'


Question: 'Let d(s) be the first derivative of 4/3*s**3 + 1/42*s**4 - 1/1260*s**6 + 0*s**2 + 1/420*s**5 + 0*s + 2. Let j(y) be the third derivative of d(y). Factor j(o).\n'

Answer: '-2*(o - 2)*(o + 1)/7\n'


Question: 'Let g(a) be the second derivative of -a**6/90 + a**5/30 + 7*a**4/36 + 2*a**3/9 - 156*a. Factor g(i).\n'

Answer: '-i*(i - 4)*(i + 1)**2/3\n'


Question: 'Let d be (-32)/(-196)*175/100. Solve -2/7 + 0*s + d*s**2 = 0.\n'

Answer: '-1, 1\n'


Question: 'Let i(r) be the third derivative of 2*r**7/105 + 7*r**6/15 - 16*r**5/15 - 7*r**4/3 + 10*r**3 + 333*r**2. Factor i(s).\n'

Answer: '4*(s - 1)**2*(s + 1)*(s + 15)\n'


Question: 'Let i be 0*2/(-6) + 310 + -310. Factor 1/5*j**2 + i*j + 1/5*j**3 + 0 - 1/5*j**5 - 1/5*j**4.\n'

Answer: '-j**2*(j - 1)*(j + 1)**2/5\n'


Question: 'Let o(l) be the first derivative of -414*l**3 + 10 + 413*l**3 + 3*l + 10. Find m, given that o(m) = 0.\n'

Answer: '-1, 1\n'


Question: 'Let s(l) be the third derivative of -5/8*l**4 + 0 + 9*l**2 - 1/12*l**5 + 0*l**3 + 0*l. Factor s(t).\n'

Answer: '-5*t*(t + 3)\n'


Question: 'Let p(d) be the third derivative of 1/12*d**5 - 5/12*d**4 + d**2 + 0*d**3 + 0 + 0*d. Factor p(f).\n'

Answer: '5*f*(f - 2)\n'


Question: 'Let w(a) be the second derivative of 49*a**4/8 + 7*a**3/2 + 3*a**2/4 - 4*a - 1. Factor w(t).\n'

Answer: '3*(7*t + 1)**2/2\n'


Question: 'Let p(f) = -2*f + 19. Let w be p(10). Let l be w - (-6)/14 - (-32)/56. Solve l*q**2 - 3/4*q**4 - 3/4*q**3 + 0*q + 0 = 0.\n'

Answer: '-1, 0\n'


Question: 'Let o = 1120/5931 + 22/659. Solve 0 - 8/9*q + o*q**2 = 0 for q.\n'

Answer: '0, 4\n'


Question: 'Solve 113/2*y - 12769/4 - 1/4*y**2 = 0 for y.\n'

Answer: '113\n'


Question: 'Let y(p) be the first derivative of 0*p + 0*p**2 + 2 - 21/20*p**4 + 3/5*p**3. Suppose y(i) = 0. Calculate i.\n'

Answer: '0, 3/7\n'


Question: 'Let t = -260 - -265. Factor -2/3*y**t - 4/3*y**4 + 0*y**3 + 0 + 2/3*y + 4/3*y**2.\n'

Answer: '-2*y*(y - 1)*(y + 1)**3/3\n'


Question: 'Let y be (0/(-2) - 10) + -2. Let x = y - -14. Let -18*c**2 - 12 - 6*c**2 + 25*c - 4*c**3 - 53*c + 4*c**x = 0. Calculate c.\n'

Answer: '-3, -1\n'


Question: 'Let u(c) = c**4 + c**3 + c**2 - 3*c - 1. Let x(t) = 3*t**4 - 53*t**3 - 777*t**2 + 945*t + 1678. Let a(z) = 4*u(z) - x(z). Let a(d) = 0. Calculate d.\n'

Answer: '-29, -1, 2\n'


Question: 'Let f(p) be the first derivative of p**4/20 + p**3/15 - 3*p**2/5 + 343. Factor f(a).\n'

Answer: 'a*(a - 2)*(a + 3)/5\n'


Question: 'Factor x**2 + 40 - 17*x - 21*x - 3*x.\n'

Answer: '(x - 40)*(x - 1)\n'


Question: 'Let j be (-24)/(-182) - (-300)/1950. Let 54/7 - 54/7*f - j*f**3 + 18/7*f**2 = 0. What is f?\n'

Answer: '3\n'


Question: 'Factor -2/7*k**2 + 40/7*k - 200/7.\n'

Answer: '-2*(k - 10)**2/7\n'


Question: 'Suppose 30 - 27 = r. Suppose -l + 7 = 5*m, r*l = -l + m + 7. Solve -1/2*z**l - 1/2*z - 1/6 - 1/6*z**3 = 0.\n'

Answer: '-1\n'


Question: 'Suppose -6*n**4 + 0 - 18/5*n**2 + 46/5*n**3 + 2/5*n = 0. What is n?\n'

Answer: '0, 1/5, 1/3, 1\n'


Question: 'Suppose 1258*y = 1247*y + 22. Let n(g) be the first derivative of 3/4*g**4 - g**5 - 3/2*g**2 - 8 + 7/3*g**3 - y*g. Suppose n(b) = 0. Calculate b.\n'

Answer: '-1, -2/5, 1\n'


Question: 'Let r(b) = -b + 9. Let t be r(28). Let h be (84/(-112))/(1 + t/8). Factor 0 + 2/11*d**2 + h*d.\n'

Answer: '2*d*(d + 3)/11\n'


Question: 'Suppose 0 = -6*w - 10*w + 80. Let o(b) be the first derivative of 3/20*b**4 + 3/5*b + w - 3/10*b**2 - 1/5*b**3. Factor o(k).\n'

Answer: '3*(k - 1)**2*(k + 1)/5\n'


Question: 'Let w(k) be the second derivative of -k**4/28 + 41*k**3/14 + 9*k**2 + 5*k - 19. Factor w(n).\n'

Answer: '-3*(n - 42)*(n + 1)/7\n'


Question: 'Let z = 2/225 + 148/225. Solve 0 + 1/3*h**3 + 1/3*h**2 - z*h = 0.\n'

Answer: '-2, 0, 1\n'


Question: 'Let z(k) be the first derivative of k**4/12 - 7*k**3/9 - 5*k**2/6 + 25*k - 271. Suppose z(l) = 0. What is l?\n'

Answer: '-3, 5\n'


Question: 'Let u(r) be the second derivative of r**6/75 - 3*r**5/50 + r**4/30 + r**3/5 - 2*r**2/5 + 2*r - 29. Factor u(l).\n'

Answer: '2*(l - 2)*(l - 1)**2*(l + 1)/5\n'


Question: 'Let j(s) be the first derivative of s**3/9 + 43*s**2/6 + 14*s + 143. Factor j(w).\n'

Answer: '(w + 1)*(w + 42)/3\n'


Question: 'Suppose -13*m + 22*m - 36 = 0. Let a(g) be the first derivative of 0*g + 0*g**2 + 3/20*g**m - 1/10*g**6 - 3/25*g**5 + 7 + 1/5*g**3. Solve a(x) = 0 for x.\n'

Answer: '-1, 0, 1\n'


Question: 'Let m(y) be the second derivative of -y**7/350 + y**6/600 + y**5/150 - 7*y**2/2 + 14*y. Let a(u) be the first derivative of m(u). Suppose a(d) = 0. What is d?\n'

Answer: '-2/3, 0, 1\n'


Question: 'Let k = -737 + 739. Suppose 6*t**3 + 3*t + 15/2*t**k + 3/2*t**4 + 0 = 0. What is t?\n'

Answer: '-2, -1, 0\n'


Question: 'Factor 15*h**2 + 90 + 278 - 66*h + 129 - 134 - 12*h**2.\n'

Answer: '3*(h - 11)**2\n'


Question: 'Let i = 89 - 87. Factor 3 - i*o - 13*o**3 - 3 + 17*o**3 - 2*o**5.\n'

Answer: '-2*o*(o - 1)**2*(o + 1)**2\n'


Question: 'Let c(a) = -594*a**2 + a + 1. Let v be c(-1). Let w = 4182/7 + v. Factor w*y**2 - 18/7*y - 10/7*y**3 + 4/7.\n'

Answer: '-2*(y - 1)**2*(5*y - 2)/7\n'


Question: 'Let z(h) be the first derivative of 0*h - 20 - 5/4*h**2 + 1/6*h**3. Factor z(c).\n'

Answer: 'c*(c - 5)/2\n'


Question: 'Let y(v) be the third derivative of -v**5/240 - 5*v**4/96 - v**3/4 - 116*v**2. Let y(p) = 0. Calculate p.\n'

Answer: '-3, -2\n'


Question: 'Let p(d) be the third derivative of -5*d**8/336 - d**7/14 + d**6/24 + 7*d**5/12 - 10*d**3/3 - 87*d**2. Let p(m) = 0. Calculate m.\n'

Answer: '-2, -1, 1\n'


Question: 'Let v(i) = -11*i**3 - 38*i**2 - 91*i - 5. Let o(q) = -5*q**3 - 20*q**2 - 46*q - 2. Let d(b) = 5*o(b) - 2*v(b). Factor d(j).\n'

Answer: '-3*j*(j + 4)**2\n'


Question: 'Let h be (-4)/(-2) - (11 - (-3 + 12)). Factor h - 3/2*l**3 - l**2 + 0*l + 0*l**4 + 1/2*l**5.\n'

Answer: 'l**2*(l - 2)*(l + 1)**2/2\n'


Question: 'Let j(w) be the first derivative of 3*w**5/5 - 3*w**4/4 - 2*w**3 - 45. What is i in j(i) = 0?\n'

Answer: '-1, 0, 2\n'


Question: 'Let s(m) be the third derivative of m**8/6720 - m**7/1260 + 3*m**4/8 - m**2. Let a(p) be the second derivative of s(p). Factor a(f).\n'

Answer: 'f**2*(f - 2)\n'


Question: 'Suppose -10*f + 16*f = 11*f. Let i(x) be the second derivative of 8*x + 0*x**2 - 1/294*x**7 - 1/210*x**6 + 0 + 1/140*x**5 + 1/84*x**4 + f*x**3. Factor i(m).\n'

Answer: '-m**2*(m - 1)*(m + 1)**2/7\n'


Question: 'What is h in -3*h**2 - 47*h**5 + 63*h**2 + 27*h**4 + 144*h + 48 + 96*h**3 + 55*h**2 + 53*h**2 + 50*h**5 = 0?\n'

Answer: '-2, -1\n'


Question: 'Let n(o) be the second derivative of -3*o + 4/3*o**2 + 1/18*o**4 + 0 + 5/9*o**3. Let n(i) = 0. Calculate i.\n'

Answer: '-4, -1\n'


Question: 'Let k = 17/95 + 179/19. Let o(r) be the first derivative of -3/2*r**2 + 0*r + k*r**5 - 6*r**4 - 7*r**3 + 10. Find a such that o(a) = 0.\n'

Answer: '-1/4, 0, 1\n'


Question: 'Let h(w) = w**2 - w + 35. Let y be h(0). Let i be (-3 - y/(-5))/2. Find f such that 3*f**2 - 2*f**2 - 4*f - 3*f**i + 4*f**2 - 6 = 0.\n'

Answer: '-1, 3\n'


Question: 'Suppose -117*u = -107*u - 30. Let b be 2/9 + -11 + 11. Determine m, given that -2/9*m**4 + 0*m + 0*m**u + 0 + b*m**2 = 0.\n'

Answer: '-1, 0, 1\n'


Question: 'Let p(g) be the first derivative of -2*g**3/7 - 15*g**2/14 + 9*g/7 + 77. Find a such that p(a) = 0.\n'

Answer: '-3, 1/2\n'


Question: 'Factor 0 + 0*m**2 + 2/7*m**5 + 64/7*m**4 + 512/7*m**3 + 0*m.\n'

Answer: '2*m**3*(m + 16)**2/7\n'


Question: 'Let t(x) be the third derivative of -x**3 + 0*x + 0 + 1/60*x**5 - 1/24*x**4 + 5*x**2. Suppose t(m) = 0. Calculate m.\n'

Answer: '-2, 3\n'


Question: 'Suppose -17*a + 0*a + 82 = 24*a. Factor -40/9*j + 4*j**a - 2/9*j**4 + 14/9 - 8/9*j**3.\n'

Answer: '-2*(j - 1)**3*(j + 7)/9\n'


Question: 'Let a(o) be the first derivative of o**4/6 + 2*o**3 + 20*o**2/3 + 11. Suppose a(g) = 0. What is g?\n'

Answer: '-5, -4, 0\n'


Question: 'Let z(n) be the third derivative of 275*n**8/1512 + 47*n**7/63 - 374*n**6/135 + 194*n**5/135 + 16*n**4/9 - 64*n**3/27 + 10*n**2. Let z(y) = 0. What is y?\n'

Answer: '-4, -4/11, 2/5, 1\n'


Question: 'Let g(m) be the second derivative of 4*m + 0 + 1/3*m**4 + 2/3*m**3 + 0*m**2. Factor g(s).\n'

Answer: '4*s*(s + 1)\n'


Question: 'Let m(z) = -14*z**2 + z + 1. Let k be m(-1). Let v = 17 + k. Let 3*j**4 - j**4 + 0*j**3 + 2*j**v = 0. What is j?\n'

Answer: '-1, 0\n'


Question: 'Suppose 3*x = 3*i - 9, 2*i + 12 + 3 = -5*x. Let y be 9/27 - i/(-1). Factor 0 - y*g**3 - 1/9*g**4 + 4/9*g + 0*g**2.\n'

Answer: '-g*(g - 1)*(g + 2)**2/9\n'


Question: 'What is m in 2*m**2 + 10*m**2 + 40*m - 39*m**3 - 36 + 20*m**2 + 4*m**4 - 12*m**3 + 11*m**3 = 0?\n'

Answer: '-1, 1, 9\n'


Question: 'Let t(y) = -8*y**2 - 27*y - 20 - 18 - 26*y. Let p(f) = 3*f**2 + 18*f + 13. Let b(d) = 7*p(d) + 2*t(d). Factor b(q).\n'

Answer: '5*(q + 1)*(q + 3)\n'


Question: 'Factor 70/9 - 2/9*k**3 - 70/9*k**2 + 2/9*k.\n'

Answer: '-2*(k - 1)*(k + 1)*(k + 35)/9\n'


Question: 'Let i(d) = 11*d**3 - 16*d**2 + 20*d - 12. Let j(u) = 4*u**3 - 2*u**2 - u. Let l(f) = -i(f) + 3*j(f). Factor l(w).\n'

Answer: '(w - 1)**2*(w + 12)\n'


Question: 'Let j = -2870 + 43051/15. Let d(b) be the first derivative of j*b**3 + 2 - 3/10*b**2 + 2/5*b. Suppose d(r) = 0. Calculate r.\n'

Answer: '1, 2\n'


Question: 'Let z = -1613 + 11301/7. Factor -6/7*o + z*o**2 - 4/7.\n'

Answer: '2*(o - 1)*(5*o + 2)/7\n'


Question: 'Let i(r) be the first derivative of 2*r**4/7 + 2*r**3/3 - 11*r**2/7 - 453. What is u in i(u) = 0?\n'

Answer: '-11/4, 0, 1\n'


Question: 'Suppose 4*d - 1/5*d**3 + 24/5 + 2/5*d**2 = 0. What is d?\n'

Answer: '-2, 6\n'


Question: 'Let v be 8/(-12) - 94/(-6). Let l = v + -15. What is o in -2*o**4 + l*o**3 + 4*o - 4*o**3 + 2 + 0 = 0?\n'

Answer: '-1, 1\n'


Question: 'Let m(w) = -w**2 - 5*w. Let u be m(-4). Let l be (-32)/128 - 150/(-280). Factor 4/7*b**2 + 4/7*b**3 - 6/7*b + l*b**5 + 2/7 - 6/7*b**u.\n'

Answer: '2*(b - 1)**4*(b + 1)/7\n'


Question: 'Let u(d) be the third derivative of 0 + 0*d - 1/52*d**4 + 1/390*d**5 + 23*d**2 - 10/39*d**3. Suppose u(g) = 0. Calculate g.\n'

Answer: '-2, 5\n'


Question: 'Let t(m) be the third derivative of m**6/240 - 3*m**5/40 - 25*m**4/48 + 11*m**3/4 - 31*m**2 - 4*m. Determine p so that t(p) = 0.\n'

Answer: '-3, 1, 11\n'


Question: 'Factor 13*s - 20*s**3 - 27*s**2 + 17*s**3 - 21*s - 9*s**2 + 66 - 19*s.\n'

Answer: '-3*(s - 1)*(s + 2)*(s + 11)\n'


Question: 'Let -8/3*l**2 - 20/3*l + 4/3*l**3 + 8 = 0. Calculate l.\n'

Answer: '-2, 1, 3\n'


Question: 'Factor -6*m**4 + 66*m + 58*m + 4*m + 25*m**3 + 73*m**3 - 416*m**2.\n'

Answer: '-2*m*(m - 8)**2*(3*m - 1)\n'


Question: 'Let g(n) be the second derivative of -n**7/504 + n**6/72 - n**5/24 + 41*n**4/12 - 36*n. Let t(w) be the third derivative of g(w). Solve t(r) = 0.\n'

Answer: '1\n'


Question: 'Let z = -8 + 17. Factor 96*h**3 + 25*h - z*h + 48*h**4 + 6 + 9*h**5 + 90*h**2 + 11*h + 12*h.\n'

Answer: '3*(h + 1)**3*(h + 2)*(3*h + 1)\n'


Question: 'Let y = 9/439 - -1926269/3073. Let x = 628 - y. Factor -10/7*n + x*n**2 - 2/7*n**3 + 4/7.\n'

Answer: '-2*(n - 2)*(n - 1)**2/7\n'


Question: 'Let b(f) be the third derivative of 0 + 0*f**3 + 1/12*f**4 + 1/60*f**6 - 3*f**2 + 0*f - 1/15*f**5. Determine u, given that b(u) = 0.\n'

Answer: '0, 1\n'


Question: 'Let w(d) be the second derivative of 0*d**4 + 1/70*d**7 + 0*d**5 - 21*d + 0*d**3 + 0 + 0*d**2 + 1/50*d**6. Factor w(o).\n'

Answer: '3*o**4*(o + 1)/5\n'


Question: 'Suppose -1/3*a**3 - 23*a**2 - 12167/3 - 529*a = 0. What is a?\n'

Answer: '-23\n'


Question: 'Let f(s) = 6*s**3 - 135*s**2 + 258*s - 126. Let h(g) = 7*g**3 - 136*g**2 + 259*g - 126. Let m(i) = 4*f(i) - 3*h(i). Let m(y) = 0. What is y?\n'

Answer: '1, 42\n'


Question: 'Let z(t) = -2*t**3 + 3*t**2 - 7*t. Let x(j) = -3*j**3 + 3*j**2 - 8*j. Suppose 2*v = -127 + 119. Let p(o) = v*z(o) + 3*x(o). Find q such that p(q) = 0.\n'

Answer: '-4, 0, 1\n'


Question: 'Let s = 61/315 - -2/45. Let g(a) be the second derivative of -5*a - 3/7*a**2 - s*a**3 + 1/21*a**4 + 0. Let g(p) = 0. Calculate p.\n'

Answer: '-1/2, 3\n'


Question: 'Let p(r) be the second derivative of -r**4/66 + 19*r**3/33 + 20*r**2/11 - 45*r + 2. Factor p(c).\n'

Answer: '-2*(c - 20)*(c + 1)/11\n'


Question: 'Suppose -2*t + 7*t = 40. Let o = -6 + t. Suppose g**o - 2*g**4 - 4*g**3 + g**2 + 2*g + 2*g**3 = 0. What is g?\n'

Answer: '-1, 0, 1\n'


Question: 'Let p(g) be the first derivative of 4*g**5/5 - g**4/4 - 4*g**3 + 11*g**2/2 - 2*g + 69. Let p(a) = 0. What is a?\n'

Answer: '-2, 1/4, 1\n'


Question: 'Let v(u) be the third derivative of 6*u**2 + 1/18*u**4 + 0*u + 1/144*u**8 - 2/105*u**7 + 1/15*u**5 + 0 + 0*u**3 - 11/360*u**6. Solve v(j) = 0.\n'

Answer: '-1, -2/7, 0, 1, 2\n'


Question: 'Let d(l) = -4*l**3 - 8*l**2 + 10*l - 8. Let q(x) = -9*x**3 - 18*x**2 + 18*x - 16. Let j(n) = 5*d(n) - 2*q(n). Suppose j(a) = 0. What is a?\n'

Answer: '-4, 1\n'


Question: 'Let r = -10 + 12. Factor a**2 - r*a - 1 + 1 + 0.\n'

Answer: 'a*(a - 2)\n'


Question: 'Let d be 6/(4 - (1 - 75/(-27))). Suppose 45 - 18 - 4*y**2 - d = 0. What is y?\n'

Answer: '0\n'


Question: 'Let v(h) be the third derivative of -h**5/80 - 3*h**4/16 + 2*h**3 - 276*h**2. Factor v(g).\n'

Answer: '-3*(g - 2)*(g + 8)/4\n'


Question: 'Let x(j) be the first derivative of j**3 - 3*j**2/2 - 4*j - 3. Let w be x(2). Suppose 1/4*b + 1/4*b**w - 1/2 = 0. Calculate b.\n'

Answer: '-2, 1\n'


Question: 'Let f(w) be the second derivative of w**6/6 - 2*w**5 + 5*w**4/2 + 20*w**3/3 - 35*w**2/2 - w + 13. Suppose f(r) = 0. Calculate r.\n'

Answer: '-1, 1, 7\n'


Question: 'Suppose 0*v + 0 + 4*v**3 - 3*v**2 + 1/4*v**5 - 7/4*v**4 = 0. What is v?\n'

Answer: '0, 2, 3\n'


Question: 'Let s(m) = -5*m**3 + 3*m**2 - 3*m + 1. Let y(t) = 7*t**3 - 3*t**2 + 3*t - 2. Let g(j) = -5*s(j) - 4*y(j). Suppose g(w) = 0. What is w?\n'

Answer: '-1, 1\n'


Question: 'Suppose -5*r = -3*r. Suppose -j + 5*j + 4*p = 0, r = 5*j - 4*p - 18. Find d, given that 42*d**j - 4*d**3 + d**3 + 3*d**4 - 45*d**2 + 3*d**5 = 0.\n'

Answer: '-1, 0, 1\n'


Question: 'Let c be (-2 + 14/5)*(520/(-16))/(-13). Factor 2/5*m**c + 0*m**3 + 0*m + 0 - 2/5*m**4.\n'

Answer: '-2*m**2*(m - 1)*(m + 1)/5\n'


Question: 'Let d be (702/10 - 0) + 9/(-45). Let k be 84/d*(-2)/(-4). Suppose -k*b + 3/5*b**2 + 3/5*b**3 - 3/5 = 0. What is b?\n'

Answer: '-1, 1\n'


Question: 'Let m(y) = 28*y**3 - 68*y**2 + 68*y - 28. Let j(l) = -l**4 + 28*l**3 - 68*l**2 + 68*l - 27. Let g(k) = -4*j(k) + 3*m(k). Find u such that g(u) = 0.\n'

Answer: '1, 2, 3\n'


Question: 'Suppose 2*p + 3 = p + 3*o, 5*o = -2*p + 5. Suppose 4*s + 4*m = -p*s - 20, -10 = 5*s + 2*m. Solve s - 2*b - 1 - b**2 + 0 = 0.\n'

Answer: '-1\n'


Question: 'Let v be -3 + 14 + -1 + -7. Let t(w) be the second derivative of -2/9*w**3 - v*w - 1/54*w**4 - w**2 + 0. Solve t(c) = 0.\n'

Answer: '-3\n'


Question: 'Let h(q) be the third derivative of q**7/175 + 3*q**6/50 + 9*q**5/50 + q**4/5 + 171*q**2. Factor h(l).\n'

Answer: '6*l*(l + 1)**2*(l + 4)/5\n'


Question: 'Suppose 5*l = -i - 54, 5*l + 2*i = -17 - 36. Let b = l + 45/4. Factor z - 1 - b*z**2.\n'

Answer: '-(z - 2)**2/4\n'


Question: 'Let j(u) be the first derivative of -6*u + 7*u + 23 + 34*u**2 - 2 + 20*u**3 + 7*u. Factor j(d).\n'

Answer: '4*(d + 1)*(15*d + 2)\n'


Question: 'Let q(t) be the first derivative of -t**4/20 + 6*t**2/5 - 16*t/5 - 91. Determine u, given that q(u) = 0.\n'

Answer: '-4, 2\n'


Question: 'Let l(a) be the first derivative of 0*a - 1/2*a**3 + 1 + 1/8*a**6 - 3/8*a**2 + 0*a**4 + 3/10*a**5. Factor l(k).\n'

Answer: '3*k*(k - 1)*(k + 1)**3/4\n'


Question: 'Solve -2/7*g**2 + 6/7 - 4/7*g = 0.\n'

Answer: '-3, 1\n'


Question: 'Suppose 484/3 + 2183*f**2 + 3476/3*f + 49/3*f**4 + 1106/3*f**3 = 0. What is f?\n'

Answer: '-11, -2/7\n'


Question: 'Factor 33/7*o**2 + 1/7*o**3 + 9*o + 31/7.\n'

Answer: '(o + 1)**2*(o + 31)/7\n'


Question: 'Let u(c) be the first derivative of 2*c**3/33 - 6*c**2/11 + 10*c/11 - 34. Determine z so that u(z) = 0.\n'

Answer: '1, 5\n'


Question: 'Suppose z**3 + 0*z**4 - 4/5*z - 1/5*z**5 + 0 + 0*z**2 = 0. What is z?\n'

Answer: '-2, -1, 0, 1, 2\n'


Question: 'Let z(g) = g**3 - 36*g**2 - 47*g - 17. Let k = 155 + -148. Let f(s) = 12*s**2 + 16*s + 6. Let j(q) = k*f(q) + 2*z(q). Factor j(a).\n'

Answer: '2*(a + 1)**2*(a + 4)\n'


Question: 'Let l(z) = -9*z**3 + 9*z - 7. Let n(a) = -8*a**3 + 8*a - 6. Let p(g) = -g**2 + 4*g + 5. Let u be p(6). Let k(c) = u*n(c) + 6*l(c). Find x such that k(x) = 0.\n'

Answer: '-1, 0, 1\n'


Question: 'Let w(s) be the third derivative of -s**2 + 0*s**4 + 16/315*s**7 + 0*s + 0*s**3 - 4/63*s**8 + 0 - 1/90*s**6 + 0*s**5. Solve w(j) = 0 for j.\n'

Answer: '0, 1/4\n'


Question: 'Let l(m) be the first derivative of 5 - 2/13*m**2 + 2/13*m + 2/39*m**3. Factor l(p).\n'

Answer: '2*(p - 1)**2/13\n'


Question: 'Let u(q) be the third derivative of q**7/336 + q**6/480 - q**5/96 - q**4/96 - 22*q**2. Determine y so that u(y) = 0.\n'

Answer: '-1, -2/5, 0, 1\n'


Question: 'Find z, given that -19*z - z**2 - 3*z + 24*z = 0.\n'

Answer: '0, 2\n'


Question: 'Let k(m) = -5*m**2 + 3*m + 9. Let u be (-1)/(-4) - (-1533)/(-84). Let z = -7 - -3. Let i(h) = h**2 - h - 2. Let b(r) = u*i(r) + z*k(r). Factor b(j).\n'

Answer: '2*j*(j + 3)\n'


Question: 'Let r(i) be the third derivative of i**7/70 + i**6/120 - i**3 - 2*i**2. Let l(q) be the first derivative of r(q). Factor l(a).\n'

Answer: '3*a**2*(4*a + 1)\n'


Question: 'Let k = 81 - 75. Let l be 94/132 + (-1)/k. Factor -2*z + 12/11 + l*z**2.\n'

Answer: '2*(z - 3)*(3*z - 2)/11\n'


Question: 'Factor -321/4*p**3 + 0 + 136*p**2 - 64*p + 17/2*p**4 - 1/4*p**5.\n'

Answer: '-p*(p - 16)**2*(p - 1)**2/4\n'


Question: 'Let g(t) = -t. Let o(h) = h**3 + 17*h**2 - 17*h + 19. Let w be o(-18). Let l(x) = -5*x**3 + 90*x**2 - 550*x + 1080. Let z(q) = w*l(q) - 10*g(q). Factor z(d).\n'

Answer: '-5*(d - 6)**3\n'


Question: 'Suppose -14/13*t**2 - 4/13*t + 2/13 - 8/13*t**3 = 0. Calculate t.\n'

Answer: '-1, 1/4\n'


Question: 'Let h = -8531 - -42658/5. Factor 0 + h*n**4 + 0*n + 12/5*n**2 + 12/5*n**3.\n'

Answer: '3*n**2*(n + 2)**2/5\n'


Question: 'Let c(j) be the first derivative of -1/10*j**4 - 1/5*j**2 + 0*j + 9 - 4/15*j**3. Solve c(f) = 0 for f.\n'

Answer: '-1, 0\n'


Question: 'Let f(q) be the first derivative of 0*q**2 + 1/10*q**5 + 0*q**4 - 5 + 0*q + 1/12*q**6 + 0*q**3. Factor f(p).\n'

Answer: 'p**4*(p + 1)/2\n'


Question: 'Let x(q) be the third derivative of -q**6/6 + 35*q**5/12 - 105*q**4/8 - 15*q**3 - 2*q**2 + 45. Determine p so that x(p) = 0.\n'

Answer: '-1/4, 3, 6\n'


Question: 'Let k(a) = -2*a**4 + 7*a**3 - 15*a**2 + 14*a - 7. Suppose 4*s - 6 = -10. Let c(p) = p**3 - p**2 + 1. Let u(j) = s*k(j) - 3*c(j). Factor u(h).\n'

Answer: '2*(h - 2)*(h - 1)**3\n'


Question: 'Let c(u) be the second derivative of u**10/3024 - u**9/1008 + 4*u**4/3 - 24*u. Let n(r) be the third derivative of c(r). Determine f, given that n(f) = 0.\n'

Answer: '0, 3/2\n'


Question: 'Let b = 404 - 399. Let d(z) be the first derivative of -1/5*z**4 + 0*z**2 + 0*z - 2/25*z**b + 8 + 0*z**3 + 1/15*z**6. Factor d(u).\n'

Answer: '2*u**3*(u - 2)*(u + 1)/5\n'


Question: 'Let r = -5 - -7. Suppose -3*u + r*u + 3 = -o, -3*o = 3. Determine w, given that -2 + 8 + u*w**3 - 6 = 0.\n'

Answer: '0\n'


Question: 'Suppose 0 = -0*p + 2*p + 36. Let r be p/(-4) + (-4)/8. Let -6*x**r + 7*x**5 - 3*x + x**5 - 5*x**5 + 6*x**2 = 0. Calculate x.\n'

Answer: '-1, 0, 1\n'


Question: 'Let l(a) be the second derivative of a**5/4 - 5*a**4/3 - 10*a**3/3 + 40*a**2 - 47*a - 2. Find s such that l(s) = 0.\n'

Answer: '-2, 2, 4\n'


Question: 'Let j = -2/8745 + -155659/8745. Let l = j + 18. Solve 1/5*q**2 - l*q + 0 = 0.\n'

Answer: '0, 1\n'


Question: 'Let q(v) be the second derivative of -7*v**6/6 + 33*v**5/4 - 115*v**4/6 + 10*v**3 + 20*v**2 - 2*v - 52. Determine w so that q(w) = 0.\n'

Answer: '-2/7, 1, 2\n'


Question: 'Determine z, given that 0 + 10/3*z**4 - 16/3*z**3 + 0*z + 8/3*z**2 - 2/3*z**5 = 0.\n'

Answer: '0, 1, 2\n'


Question: 'Let 40/3 + 70/3*n + 5/3*n**3 + 35/3*n**2 = 0. Calculate n.\n'

Answer: '-4, -2, -1\n'


Question: 'Let h = 20 + -24. Let y(o) = 5*o**5 + 5*o**4 + 11*o**3 - o**2 - 12*o. Let f(q) = q**5 + q**3 - q + 1. Let l(k) = h*f(k) + y(k). Factor l(n).\n'

Answer: '(n - 1)*(n + 1)**2*(n + 2)**2\n'


Question: 'Find b, given that 0 + 3/2*b + 5/2*b**2 = 0.\n'

Answer: '-3/5, 0\n'


Question: 'Suppose 5*b - 24 = r, 120*b - 118*b = -2*r + 12. Let i = 4 - 1. Determine c, given that 7*c - c**3 - 4*c - 5*c**3 + i*c**b = 0.\n'

Answer: '-1, 0, 1\n'


Question: 'Let g be 18/(-24) - (-33)/12. What is b in 17*b**2 - 20*b**2 + 67*b**g + 12*b**3 + 48*b - 64 = 0?\n'

Answer: '-4, -2, 2/3\n'


Question: 'Suppose -8*q**5 - 34*q**3 + 17765 - 17829 + 268*q**2 - 26*q**4 - 28*q**4 + 192*q = 0. Calculate q.\n'

Answer: '-4, -1, 1/4, 2\n'


Question: 'Find n, given that -4/3*n**2 - 22/5*n - 2/15*n**3 - 24/5 = 0.\n'

Answer: '-4, -3\n'


Question: 'Determine d so that 21/5*d + 36/5 + 3/5*d**2 = 0.\n'

Answer: '-4, -3\n'


Question: 'Let r(u) be the first derivative of 3*u**4/4 + 11*u**3 + 12*u**2 - 60*u - 332. Solve r(n) = 0 for n.\n'

Answer: '-10, -2, 1\n'


Question: 'Let m(z) = -12*z**2 + 6*z + 9. Let f(y) = 23*y**2 - 11*y - 17. Let r be (-12 - 0)*7/(-21). Let x be (-3 - -4 - 0) + r. Let v(s) = x*m(s) + 3*f(s). Factor v(j).\n'

Answer: '3*(j - 1)*(3*j + 2)\n'


Question: 'Factor -13 + 11*p + 57*p - 2*p**2 - 321 - 244.\n'

Answer: '-2*(p - 17)**2\n'


Question: 'Let h(t) be the third derivative of -t**6/60 - t**5/5 - t**4/4 + 10*t**3/3 - 8*t**2 - 11*t. Factor h(s).\n'

Answer: '-2*(s - 1)*(s + 2)*(s + 5)\n'


Question: 'Let s(m) be the first derivative of m**3/21 - 11*m**2/14 + 10*m/7 + 70. Solve s(q) = 0.\n'

Answer: '1, 10\n'


Question: 'Suppose 2/7*u**2 - 8/7*u + 2/7*u**3 - 8/7 = 0. What is u?\n'

Answer: '-2, -1, 2\n'


Question: 'Determine x, given that 10*x**4 - 5*x - 4*x**5 + 16*x**2 - 33*x**2 + 9*x**5 + 7*x**2 = 0.\n'

Answer: '-1, 0, 1\n'


Question: 'Let j(x) be the second derivative of x**4/54 - 7*x**3/9 + 20*x**2/9 + 25*x + 2. Factor j(c).\n'

Answer: '2*(c - 20)*(c - 1)/9\n'


Question: 'Let o(k) be the third derivative of k**8/1512 - k**7/315 + k**6/180 - k**5/270 + 14*k**2. Factor o(h).\n'

Answer: '2*h**2*(h - 1)**3/9\n'


Question: 'Let r(m) be the second derivative of m**4/6 - 5*m**3/3 + 6*m**2 - 17*m - 2. Factor r(d).\n'

Answer: '2*(d - 3)*(d - 2)\n'


Question: 'Let r(u) be the second derivative of -u**5/70 - 3*u**4/14 + u**3/21 + 9*u**2/7 + 50*u - 1. Factor r(k).\n'

Answer: '-2*(k - 1)*(k + 1)*(k + 9)/7\n'


Question: 'Solve 0 + 0*b**4 + 1/9*b**5 + 0*b**3 + 0*b**2 + 0*b = 0.\n'

Answer: '0\n'


Question: 'Suppose 0 = 359*r - 502*r + 286. Factor -18/5*y**r - 2/5*y**4 + 2*y**3 - 4/5 + 14/5*y.\n'

Answer: '-2*(y - 2)*(y - 1)**3/5\n'


Question: 'Let y = -153 + 156. Let w(z) be the second derivative of 0 - 3/20*z**5 + 9/2*z**2 - 7/2*z**y + 5/4*z**4 - 2*z. Factor w(t).\n'

Answer: '-3*(t - 3)*(t - 1)**2\n'


Question: 'Let x(y) = -22*y**2 + y**5 + 25*y**2 - 3 + 5*y**3 + 0*y**3. Let n(p) = 4*p**3 + 2*p**2 - 2. Let c(w) = 3*n(w) - 2*x(w). Factor c(a).\n'

Answer: '-2*a**3*(a - 1)*(a + 1)\n'


Question: 'Let j(f) be the first derivative of f**4/3 + 36*f**3 - 164*f**2/3 - 58. Suppose j(d) = 0. Calculate d.\n'

Answer: '-82, 0, 1\n'


Question: 'Let s(y) = -y**2 + 10*y - 3. Let w(q) = q**2 - 10*q + 4. Let f(l) = -5*s(l) - 6*w(l). Factor f(t).\n'

Answer: '-(t - 9)*(t - 1)\n'


Question: 'Let b = 4 + -4. Suppose b = o - 12 - 1. What is f in 8*f**3 + f**4 - o*f**3 + 8*f**2 - f - 3*f = 0?\n'

Answer: '0, 1, 2\n'


Question: 'Let u be (-16)/(-12)*12 + -2. Suppose 0 = 2*k + 2*k - 56. Determine d so that 6*d**5 - k*d + d**5 - 4*d**2 + u*d + 9*d**4 - 12*d**3 = 0.\n'

Answer: '-2, -2/7, 0, 1\n'


Question: 'Let z = 126 - 122. Let g(q) be the first derivative of 7/16*q**z + 2 + 1/6*q**3 + 0*q**2 + 0*q. Factor g(i).\n'

Answer: 'i**2*(7*i + 2)/4\n'


Question: 'Let r(z) be the third derivative of -z**7/735 + 3*z**6/35 - 72*z**5/35 + 144*z**4/7 - 3*z**2 - 3*z. Factor r(g).\n'

Answer: '-2*g*(g - 12)**3/7\n'


Question: 'Factor -667/3*p**2 + 799/3*p + 97/3*p**3 + 4/3*p**5 + 56/3*p**4 - 289/3.\n'

Answer: '(p - 1)**3*(2*p + 17)**2/3\n'


Question: 'Factor 2/5*x**4 + 12*x**2 + 18/5*x**3 + 88/5*x + 48/5.\n'

Answer: '2*(x + 2)**3*(x + 3)/5\n'


Question: 'Factor -c**4 - 969*c**2 - 108*c**3 + 259 + 108*c + 713 - 2*c**4 + 0*c**2.\n'

Answer: '-3*(c - 1)*(c + 1)*(c + 18)**2\n'


Question: 'Let k be 4/6 + (-792)/(-27). Factor 1 - 5*b**2 - 2 + k*b + 1.\n'

Answer: '-5*b*(b - 6)\n'


Question: 'Let o(m) be the first derivative of -5*m**4/4 - 50*m**3/3 + 65*m**2/2 + 110*m - 142. Factor o(y).\n'

Answer: '-5*(y - 2)*(y + 1)*(y + 11)\n'


Question: 'Let p(n) = 23*n**2 - 36*n - 4. Let o(l) = -4*l**2 + 7*l + 1. Let u(b) = 33*o(b) + 6*p(b). Factor u(w).\n'

Answer: '3*(w + 1)*(2*w + 3)\n'


Question: 'Determine w so that -6*w**2 - 20*w - w**2 - 6*w**2 + 16 + 17*w**2 = 0.\n'

Answer: '1, 4\n'


Question: 'Suppose -2*g - 2*o = -5*o + 12, 8 = 5*g + 2*o. Let p(l) be the second derivative of 2*l**2 - 5*l - 5/12*l**4 + g - 4/3*l**3. Suppose p(d) = 0. What is d?\n'

Answer: '-2, 2/5\n'


Question: 'Suppose -5*a - 60 - 75 = 0. Let q = a + 27. Suppose 6 - 6 - 2*z - 2*z**2 + q = 0. Calculate z.\n'

Answer: '-1, 0\n'