t x be 2 + 34/272*8. Find d such that 0 + 1/3*d**2 - x*d = 0.
0, 9
Suppose -2*w + 2*r - 18 = -40, 12 = -2*r. Let g(t) be the second derivative of 0 - 7*t - 4/21*t**4 - 1/14*t**w - 4/21*t**3 + 0*t**2 - 1/105*t**6. Factor g(y).
-2*y*(y + 1)*(y + 2)**2/7
Suppose -6 = 2*r, 0 = 11*w - 15*w + 4*r + 24. Factor -16 - 2*j**w + 12 - 6*j**2 - 4*j + 4.
-2*j*(j + 1)*(j + 2)
Let j(f) be the third derivative of f**8/336 + f**7/105 - f**6/40 + 541*f**2 + 2. Factor j(u).
u**3*(u - 1)*(u + 3)
Let n(v) = 21*v**3 + 23*v**2 - 2. Let w be -4 + (-1 + 1 - 1) - -2. Let h(c) = 41*c**3 + 45*c**2 - 4. Let d(s) = w*h(s) + 7*n(s). Factor d(t).
2*(t + 1)*(3*t + 1)*(4*t - 1)
Let c = 24813 + -8343. Factor -2*o**3 + 16444*o**2 - c*o**2 - 84 - 96*o + 12.
-2*(o + 1)*(o + 6)**2
Let m be 13 - (-744)/(-56) - (-6355)/(-616). Let y = m - -129/11. Determine v, given that 1/8*v**4 + 1/2*v**3 - 3/2*v - 1/4*v**2 + y = 0.
-3, 1
Let a(n) = -21*n**2 + 329*n - 195. Let o be a(15). Factor 5/3*q**4 + 5*q**2 + 25/3*q**3 - o*q + 0.
5*q*(q - 1)*(q + 3)**2/3
What is m in -14926*m**3 + 2*m**4 - 6*m**4 + 296 + 104*m**2 - 336*m + 14930*m**3 - 8 = 0?
-6, 2, 3
Find i such that -76/11*i**2 + 108/11 - 136/11*i**3 - 32/11*i**4 + 138/11*i - 2/11*i**5 = 0.
-9, -6, -1, 1
Let n be (0 + 1*4)*(231/42 - 5). Let d(g) be the first derivative of 1/12*g**3 + 0*g + 1/8*g**4 + 1/20*g**5 + 0*g**n - 7. Factor d(h).
h**2*(h + 1)**2/4
Let d(n) be the third derivative of n**8/1176 - 16*n**7/735 - n**6/70 + 44*n**5/15 + 605*n**4/84 - 8*n**2 + 126*n. Solve d(u) = 0 for u.
-5, -1, 0, 11
Let k(u) be the first derivative of u**5 - 3/2*u**4 + 27 + 0*u**3 - 1/6*u**6 + 0*u**2 + 0*u. Factor k(g).
-g**3*(g - 3)*(g - 2)
Let h be 4/7*(4 - 4/8). Let l = 79/22 - 149/66. Suppose 0 - l*d**h - 8/3*d = 0. Calculate d.
-2, 0
Let v(o) be the first derivative of -12*o**2 - 7*o**4 - 92/3*o**3 + 0*o + 31. Suppose v(u) = 0. Calculate u.
-3, -2/7, 0
Find u, given that 2*u**3 - 73*u**2 + 253*u + 201*u**2 + 126 - 2*u**3 + u**3 = 0.
-126, -1
Let g be (0 + 1/1)*2. Let q be (-1 - -1)/(-1176 - -1175). Factor 8/3*a**g + 1/3*a**4 - 16/3*a + 7/3*a**3 + q.
a*(a - 1)*(a + 4)**2/3
Determine v so that 62 + 2*v**5 - 649*v**2 + 161/3*v**4 - 279*v**3 - 769/3*v = 0.
-31, -1, 1/6, 6
Let u(r) be the first derivative of -45*r**4/4 + 730*r**3/3 - 835*r**2/2 + 150*r + 123. What is k in u(k) = 0?
2/9, 1, 15
Let t be (162/72)/(1/(-12)). Let a = t - -31. Factor 3*o**a + 12*o**2 + 11*o**2 - 6*o**3 - 20*o**2.
3*o**2*(o - 1)**2
Let g be (-20)/(-352) + (-1785)/56 + 32. Determine b, given that 2/11*b**3 - 2/11*b**2 - 2/11*b + g*b**4 + 0 = 0.
-1, 0, 1
Let l(x) be the second derivative of 1/15*x**5 + 18*x**2 + 11*x + 0 + 2*x**3 + 2/3*x**4. Let d(v) be the first derivative of l(v). What is o in d(o) = 0?
-3, -1
Let p(c) = 9*c**2 + 62*c - 163. Let q(x) = -2*x**2 - x - 5. Let w(s) = 2*p(s) + 8*q(s). Factor w(m).
2*(m - 3)*(m + 61)
Let u(q) be the first derivative of q**7/420 + q**6/30 + q**5/12 - 4*q**3 + 5*q**2/2 + 137. Let r(j) be the third derivative of u(j). Factor r(d).
2*d*(d + 1)*(d + 5)
Let a = -595836 - -173388446/291. Let u = a - -8/97. Let 4/3 - 2*j**2 + 2/3*j**4 - 2/3*j + u*j**3 = 0. Calculate j.
-2, -1, 1
Let j(y) = -y**3 + 8*y**2 - 5*y - 12. Let f be j(6). Let o = f - 27. Factor d**o - 4*d**2 - 7*d**4 - d**5 + 6*d**4 + 5*d**2.
-d**2*(d - 1)*(d + 1)**2
Let m(l) be the third derivative of -3 + 11/240*l**5 + 0*l - 1/8*l**3 + 12*l**2 + 5/96*l**4 + 1/160*l**6. Factor m(s).
(s + 1)*(s + 3)*(3*s - 1)/4
Let l(m) = -2*m + 61. Let k be l(-11). Factor -223*q + k*q - 226*q**2 - 4*q**3 - 68 + 150*q**2.
-4*(q + 1)**2*(q + 17)
Let b = 23/1386 + 25/198. Let u(g) be the first derivative of -2/21*g**3 + b*g**2 + 4/7*g + 5. Let u(h) = 0. What is h?
-1, 2
Let g = 669 + -674. Let o(x) = -4*x**2 - 43*x - 149. Suppose 0 = 3*u - 0*u + 12. Let m(f) = 4*f**2 + 44*f + 148. Let p(q) = g*m(q) + u*o(q). Factor p(d).
-4*(d + 6)**2
Let d(q) be the second derivative of q**4/8 - 13*q**3/4 + 45*q**2/2 + 1144*q. Factor d(i).
3*(i - 10)*(i - 3)/2
Let y(a) be the third derivative of -a**6/30 + 7*a**5/15 + 662*a**2. Solve y(h) = 0.
0, 7
Let s(z) = -2*z**2 - 72*z - 52. Let k = -125 + 119. Let a(m) = -2*m**2 - 71*m - 54. Let w(b) = k*a(b) + 5*s(b). Factor w(v).
2*(v + 1)*(v + 32)
Let c(f) be the first derivative of -5*f**3/3 + 2135*f**2/2 + 2140*f + 1381. Factor c(k).
-5*(k - 428)*(k + 1)
Let x(i) be the second derivative of i**4/4 + 1057*i**3 - 6345*i**2/2 - 5305*i + 1. Determine u so that x(u) = 0.
-2115, 1
Let g(a) be the first derivative of 0*a - 5/2*a**2 + 1/20*a**4 + 9 - 1/15*a**3 - 1/75*a**5. Let i(h) be the second derivative of g(h). Let i(x) = 0. What is x?
1/2, 1
Let j be (21 - 11) + 1053/(-108). Factor 9 + j*i**3 + 13/4*i**2 + 10*i.
(i + 2)**2*(i + 9)/4
Suppose 8*w + 96 - 136 = 0. Let k(b) be the first derivative of 24/5*b - 3/20*b**4 + 3/25*b**w + 3 - 6/5*b**3 + 6/5*b**2. Factor k(q).
3*(q - 2)**2*(q + 1)*(q + 2)/5
Let l(w) be the third derivative of w**8/112 + 213*w**7/70 - 217*w**6/40 - 637*w**5/20 + 267*w**4/2 - 214*w**3 - 12503*w**2. Factor l(h).
3*(h - 1)**3*(h + 2)*(h + 214)
Let a(h) = -h**2 - h - 35. Let l be a(0). Let j = l + 39. Let 10*r**2 + 0 - 11*r**2 + 0 + 1 - j*r + 4*r**3 = 0. Calculate r.
-1, 1/4, 1
Let t be -3*(-15)/9*1. Factor 3 + 27 + 10 + 55*q**2 - 90*q - t*q**4.
-5*(q - 2)*(q - 1)**2*(q + 4)
Let x(h) be the second derivative of -7*h**5/90 + 41*h**4/27 - 200*h**3/27 - 64*h**2/9 - 3*h + 30. Factor x(y).
-2*(y - 8)*(y - 4)*(7*y + 2)/9
Let l(u) be the second derivative of u**4/60 + 13*u**3/10 + 54*u**2/5 - 14*u + 9. Find s, given that l(s) = 0.
-36, -3
Let s(o) be the third derivative of -5*o**8/336 - 3*o**7/7 + 23*o**6/24 + 78*o**5 - 1690*o**4/3 - o**2 - 228. Factor s(l).
-5*l*(l - 4)**2*(l + 13)**2
Let t be -5 + 3 + -3 + 9. Suppose -4*d - 4 = 2*z - d, t*d = -2*z - 8. Factor -z*y - 40 - y + 70 - 5*y**2.
-5*(y - 2)*(y + 3)
Let i = 18/4885 + 4849/9770. Factor 9/2*y**2 + 7/2 + 15/2*y + i*y**3.
(y + 1)**2*(y + 7)/2
Let j(l) be the first derivative of -61 - 1/9*l**5 + 0*l + 2/9*l**4 + 1/54*l**6 + 0*l**2 - 4/27*l**3. What is i in j(i) = 0?
0, 1, 2
Let x = -758482 + 2275450/3. Let x*f**4 + 0 - 7/3*f**3 + 2/3*f**2 + 1/3*f = 0. Calculate f.
-1/4, 0, 1
Suppose -96*i**3 + 101*i**2 - 205*i**2 + 0*i**4 - 401*i**2 - 3*i**4 - 168 - 426*i + 154*i**2 = 0. Calculate i.
-28, -2, -1
Let q(l) be the third derivative of l**8/84 + 2*l**7/7 + 19*l**6/10 + 73*l**5/15 + 5*l**4 - l**2 - 604*l. Let q(i) = 0. What is i?
-10, -3, -1, 0
Determine t so that 54/7*t**2 - 316/21*t - 2/21*t**3 + 0 = 0.
0, 2, 79
Suppose -1/10*o**4 + 3/5*o**2 + 3/10 + 0*o**3 + 4/5*o = 0. What is o?
-1, 3
Suppose -31*t**2 + 101*t**2 - 65*t**2 + 15120*t + 11430720 = 0. What is t?
-1512
Let a(l) be the second derivative of l**9/5400 + 19*l**8/16800 - l**7/1050 + l**4/6 + l + 28. Let m(z) be the third derivative of a(z). Factor m(q).
2*q**2*(q + 3)*(7*q - 2)/5
Factor -1/2*n**4 - 1908 - 1995/2*n + 55/2*n**3 - 67/2*n**2.
-(n - 53)*(n - 8)*(n + 3)**2/2
Let -2197*j**3 + 6577*j**3 - 2191*j**3 + 428*j - 110*j**2 - 424 - 2188*j**3 = 0. Calculate j.
2, 106
Determine v so that 1/2*v**4 - 110*v - 66*v**2 - 56 - 23/2*v**3 = 0.
-2, -1, 28
Suppose 17374*q - 57 = 17355*q. Let i(d) be the first derivative of d**4 - 18 + 0*d**q + 0*d + 0*d**5 - 1/3*d**6 - d**2. Factor i(s).
-2*s*(s - 1)**2*(s + 1)**2
Let a(q) = 5. Let g(r) = 3*r**2 - 6780*r - 6843. Let t(k) = -12*a(k) - g(k). Let t(l) = 0. Calculate l.
-1, 2261
Let t be (-906)/1844 - (126/12 + -11). Let m = t - -7364/1383. Suppose 196/3*n**2 + m + 112/3*n = 0. Calculate n.
-2/7
Let z(m) be the first derivative of 3/25*m**5 - 11/5*m**3 + 0*m + 61 - 3/5*m**4 - 9/5*m**2. Factor z(b).
3*b*(b - 6)*(b + 1)**2/5
Let o(w) = -8*w**2 + 5*w - 6. Let v be o(3). Let s be (8/7)/(6/v*-3). Let -2*d - 30*d**3 - 20*d**s + 0*d - 20*d**2 - 3*d - 5*d**5 = 0. Calculate d.
-1, 0
Suppose 11*p - 2209 - 453 = 0. Let r be ((-3276)/(-165))/3 + 44/p. What is z in 9/5*z**4 + r*z**3 - 4/5 + 8/5*z + 37/5*z**2 = 0?
-2, -1, 2/9
Let b(q) = -9*q**2 + 81*q + 75. Let h(t) be the third derivative of -t**5/15 + 5*t**4/3 + 19*t**3/3 - t**2 + 26*t. Let n(w) = -2*b(w) + 5*h(w). Factor n(x).
-2*(x - 20)*(x + 1)
Let m be 5/((-57)/9 + 8). Let p(c) be the first derivative of m*c - 7 + 0*c**2 - 1/4*c**3. Suppose p(r) = 0. Calculate r.
-2, 2
Let 