 252*b**2 - 5286*b + 37044. Let u(c) = -c. Let v(p) = -6*p - 97. Let t be v(-16). Let w(k) = t*y(k) - 6*u(k). Factor w(j).
4*(j - 21)**3
Suppose 0*x + 20 = 5*x. Suppose -23*t + d = -19*t - 229, 3*d + 117 = 2*t. Factor -t*q**2 - 21*q**2 - 4 + 28*q**3 - 8*q**x + 20*q + 42*q**2.
-4*(q - 1)**3*(2*q - 1)
What is d in -20*d + 6*d**3 + 34*d**2 + 12*d**2 + 7*d**3 + 60*d + 8 + d**3 = 0?
-2, -1, -2/7
Let k(x) be the second derivative of -1925/12*x**4 - 10*x**5 + 503/6*x**6 + 0 + 500/3*x**3 - 93*x - 25/3*x**7 - 70*x**2. Find z such that k(z) = 0.
-1, 2/7, 2/5, 1/2, 7
Suppose 40*f = 149 + 91. Factor 11*b**2 - f + 3*b**2 - 14*b - 10 + 5*b**2 - 17*b**2.
2*(b - 8)*(b + 1)
Find z such that 3/8*z**2 - 27/8*z + 0 = 0.
0, 9
Factor 5543*x + 19807*x + 856830*x**2 - 85 + 335 + 9653618*x**3.
2*(169*x + 5)**3
Let r(d) be the second derivative of -2*d**7/63 - 68*d**6/45 - 49*d**5/3 + 904*d**4/9 + 536*d**3 + 864*d**2 - 321*d. What is h in r(h) = 0?
-18, -1, 4
Suppose -264 = -5*y + 3*v + 8, y - 72 = 5*v. Let p be -1 - 99/(-117) - (-8)/y. Suppose 1 + p*q**2 + 3/2*q - 1/2*q**3 = 0. What is q?
-1, 2
Let s = 609/40 - 53867/120. Let m = s + 439. Factor -8/3*k + m - 7/3*k**2 - 1/3*k**3.
-(k - 1)*(k + 4)**2/3
Suppose -4511 = 5*r - 9671. Let z = r + -1030. Let -47/2*o**z - 3/4*o**5 - 37/2*o**3 - 9/4 - 25/4*o**4 - 51/4*o = 0. What is o?
-3, -1, -1/3
Suppose -5*f + d + 116 = 0, -4*d - 104 = -f - 4*f. Suppose -15*s + f = -36. Factor 43*o + 76*o**3 + 28*o**s + 21*o + 16 - 18*o**5 + 22*o**5 + 100*o**2.
4*(o + 1)**3*(o + 2)**2
Let u(p) = -p**3 - 19*p**2 + 22*p + 47. Let t be u(-20). Suppose 12 = t*c - 9. Find r such that -2/3*r + 2/3*r**c + 0*r**2 + 1/3 - 1/3*r**4 = 0.
-1, 1
Let t = -2/28609 - -1168/4087. What is h in 32/7*h + t*h**2 + 8 = 0?
-14, -2
Let t(g) be the second derivative of 0 + 1/2*g**2 - 50*g - 7/3*g**3 + 73/12*g**4 - 43/5*g**5 + 88/15*g**6 - 32/21*g**7. Determine w so that t(w) = 0.
1/4, 1
Let s(l) be the third derivative of -19*l**2 - 1/5*l**4 - 17/6*l**3 - 1/2700*l**6 + 0*l + 0 + 1/75*l**5. Let a(p) be the first derivative of s(p). Factor a(k).
-2*(k - 6)**2/15
Let t(b) be the third derivative of -b**5/360 - 271*b**4/72 - 539*b**3/12 + 6888*b**2. Factor t(l).
-(l + 3)*(l + 539)/6
Factor -71*x - 64*x - 4*x**2 + 403*x + 20*x.
-4*x*(x - 72)
Let r(n) be the third derivative of n**5/330 - 859*n**4/66 + 737881*n**3/33 + 7137*n**2. What is a in r(a) = 0?
859
Let d = 341329/9 + -37925. Factor 8/9*p**2 + 16/9*p - 2/9*p**4 - d*p**3 + 0.
-2*p*(p - 2)*(p + 2)**2/9
Let k(j) be the third derivative of -5*j**5/108 + 1445*j**4/108 - 83521*j**3/54 + 58*j**2 - 14. Factor k(a).
-(5*a - 289)**2/9
Let j(q) be the first derivative of -15*q**4/4 + 16*q**3 + 1041*q**2/2 - 210*q - 6341. Factor j(r).
-3*(r - 10)*(r + 7)*(5*r - 1)
Suppose 0 = -3*q - 3*x + 72, 0*q = 2*q - x - 33. Factor 19*y**2 - 31 - 96 - 4*y**3 + q + 84*y + 9*y**2.
-4*(y - 9)*(y - 1)*(y + 3)
Let y(p) be the third derivative of p**6/240 - 11*p**5/60 - 35*p**4/48 + 23*p**3 - 23*p**2 + 26. Find a, given that y(a) = 0.
-4, 3, 23
Let j(z) = -6*z - 234. Let r be j(-6). Let q be ((r/24)/(-11))/(24/16). Suppose -3 - 5/2*g - q*g**2 = 0. What is g?
-3, -2
Let w(x) be the third derivative of x**6/300 + 41*x**5/150 - x**4/60 - 41*x**3/15 - 6*x**2 - 11*x. Determine t so that w(t) = 0.
-41, -1, 1
Let t(m) be the first derivative of 529*m**3/27 - 2024*m**2/9 + 7744*m/9 + 4200. Factor t(r).
(23*r - 88)**2/9
Solve 32/3 + 2/15*t**2 + 14/5*t = 0 for t.
-16, -5
Let j be (-8)/(-2) + 64595/(-23492). Let d = j - 2/5873. Factor 1/2*r + d*r**3 + 0 + 7/4*r**2.
r*(r + 1)*(5*r + 2)/4
Suppose -3*v + l = 5, 173 = -4*v + l + 170. Factor -4*w - 1/3*w**v - 20/3.
-(w + 2)*(w + 10)/3
Let y be 31/4 - 2*(-42)/(-12). Let z be (-7 + 13)*1/(-8)*-2. Let 0 - z*j**2 + y*j**3 + 3/4*j = 0. What is j?
0, 1
Factor -91*y**3 - 715*y**2 + 20*y**3 + 2920*y - 2940 + 25*y**3 + 26*y**3 + 15*y**3.
-5*(y - 2)**2*(y + 147)
Let h(s) = -6*s**2 - 2*s + 1. Let z(d) = 7*d**3 + 42*d**2 - 67*d - 17. Let m(a) = -5*h(a) + z(a). Factor m(v).
(v - 1)*(v + 11)*(7*v + 2)
Let a(s) be the second derivative of 3/5*s**5 - 4*s**2 + 0 - 13/6*s**4 + 4*s**3 - 1/15*s**6 + s. Let a(q) = 0. Calculate q.
1, 2
Let n = -2113 - -2168. Suppose 2*o + 4*g - 36 = 0, -2*g - n - 17 = -8*o. Factor -o*k + 5/2*k**2 + 0.
5*k*(k - 4)/2
Suppose -q + 3 = -r - 4, q - 4*r - 7 = 0. Find d, given that 4*d**2 + 342*d - 9747 - q*d**2 - d**2 + d**2 = 0.
57
Let o(d) = -8*d**2 - 28*d - 24. Let b = 37 + -52. Let n = b - -16. Let c(a) = a**2 + a + 1. Let w(j) = n*o(j) + 24*c(j). Factor w(u).
4*u*(4*u - 1)
Factor 0 + 2/7*y**4 + 0*y - 144/7*y**3 + 2592/7*y**2.
2*y**2*(y - 36)**2/7
Let k = -227 + 340. Let p = k + -111. Factor 0 - 2/3*x + 1/3*x**p.
x*(x - 2)/3
Let q = 3078 + -461699/150. Let u(g) be the third derivative of q*g**5 + 1/5*g**3 - 13*g**2 - 1/15*g**4 + 0 + 0*g. Let u(i) = 0. Calculate i.
1, 3
Let r(d) be the second derivative of 0 - 3/10*d**5 - 7/18*d**4 + 0*d**2 + 2/9*d**3 - 43*d. What is y in r(y) = 0?
-1, 0, 2/9
Let r(x) = -124*x + 38. Let t be r(1). Let w be (-93)/(-558) + t/(-60). Determine i, given that w*i - 7/5 - 1/5*i**2 = 0.
1, 7
Let z = 22 - 19. Suppose m + 1 = z. Solve -42*b**m - 12*b + 0*b - 10 + 40*b**2 = 0 for b.
-5, -1
Let m(p) be the first derivative of -p**5/10 - p**4/2 + p**3/3 + 3*p**2 + 39*p + 12. Let x(s) be the first derivative of m(s). Suppose x(n) = 0. What is n?
-3, -1, 1
Let q be -3 - ((-126)/(-28) - 3)/(1/(-2)). Let p(g) be the third derivative of 2/9*g**3 + q - 1/18*g**4 + 5*g**2 + 1/180*g**5 + 0*g. Factor p(r).
(r - 2)**2/3
Suppose -858*z = -43580 + 41864. Suppose -42/11 + 2/11*r**4 + 36/11*r**3 + 124/11*r - 120/11*r**z = 0. What is r?
-21, 1
Suppose -2719*q - 83 - 13 = -2767*q. Let o = -109/2 - -56. Factor 1/2*c**q - c - o.
(c - 3)*(c + 1)/2
Let y(h) = -h**3 + 12*h**2 - h. Let u(w) = 5*w**3 - 4*w**2 - 91*w - 138. Let t(b) = 3*u(b) + 12*y(b). Let t(q) = 0. What is q?
-46, -1, 3
Let i(s) be the first derivative of 59/2*s**2 + 1/6*s**3 + 3481/2*s + 64. Suppose i(o) = 0. What is o?
-59
Let x = 4 + 0. Suppose 10*j + 4*j = 42. Solve 15*d**j + x*d**4 + 32*d - 842*d**2 + 890*d**2 + 9*d**3 = 0 for d.
-2, 0
Let y be 4/(-1 - (-4 - -1)). Suppose 2*v = 111 + 209. Factor -164*o**2 + v*o**y - o - 3*o.
-4*o*(o + 1)
Let x = 4676 - 37405/8. Suppose 12*b + 75 = 27*b. Solve 3/2*l**2 + 9/4*l**3 - 15/8*l**4 + 0 + x*l**b - 3*l = 0 for l.
-1, 0, 2
Let j(l) be the third derivative of -l**7/1470 + 7*l**6/60 - 622*l**5/105 + 160*l**4/7 + 3072*l**3/7 + 5*l**2 - 287*l. Find u, given that j(u) = 0.
-2, 4, 48
Let 141 + 3/5*w**2 - 708/5*w = 0. Calculate w.
1, 235
Let 207025/6 + 1/6*g**2 + 455/3*g = 0. Calculate g.
-455
Solve -18*w - 24/5*w**2 - 2/5*w**3 - 20 = 0.
-5, -2
Let t = -20414 + 29283. Find q such that -t + 8869 + 2*q**2 = 0.
0
Let n be (-21 - (2 + -2)) + (-4607820)/(-11340). Factor -64/3*q**2 + n - 2/3*q**3 - 442/3*q.
-2*(q - 2)*(q + 17)**2/3
Let o(s) be the first derivative of -68 + 0*s**2 + 6/5*s**5 + 0*s + 0*s**3 + 1/3*s**6 - 5*s**4. Factor o(f).
2*f**3*(f - 2)*(f + 5)
Let y(u) = 79*u**4 + 43*u**3 - 32*u**2 + 6*u - 2. Let g(m) be the first derivative of m**5/5 + m**4/4 - m**2/2 + m + 85. Let b(v) = 2*g(v) + y(v). Factor b(k).
k*(k + 1)*(9*k - 2)**2
Let x(p) be the first derivative of 1/14*p**2 + 1/42*p**6 + 0*p**5 + 0*p**3 + 52 - 1/14*p**4 + 0*p. Factor x(s).
s*(s - 1)**2*(s + 1)**2/7
Let z(c) be the first derivative of 0*c + 1/9*c**3 - 1/3*c**2 + 1/4*c**4 + 19. Factor z(y).
y*(y + 1)*(3*y - 2)/3
Let c(y) be the third derivative of 0*y + 0*y**3 - 8/165*y**5 + 1/660*y**6 + 0 + 301*y**2 - 3/11*y**4. Solve c(h) = 0.
-2, 0, 18
Let g = -27453/2 - -13727. Solve g*a**2 - 1/2 + 0*a = 0.
-1, 1
Factor 0 + 45*w**2 - 10298*w + 0 - 2*w**3 + 7*w**3 + 10368*w.
5*w*(w + 2)*(w + 7)
Suppose -38*z - 413236 = -2996932. Let a = z - 474613/7. Factor -1/7*t**3 + a - 363/7*t + 33/7*t**2.
-(t - 11)**3/7
Let b(w) be the third derivative of 1/330*w**5 + 0 + 58*w**2 - 9/44*w**4 + 0*w - 28/33*w**3. Find f such that b(f) = 0.
-1, 28
Let g(q) be the third derivative of 2*q**2 + 0*q**3 + 0*q + 81 + 1/90*q**6 + 0*q**4 + 1/9*q**5. Factor g(b).
4*b**2*(b + 5)/3
Let u(p) be the first derivative of -7 + 1/6*p**3 + 0*p - 3/10*p**5 + 1/2*p**2 - 1/2*p**4. Factor u(z).
-z*(z + 1)**2*(3*z - 2)/2
Factor 100/13*a + 38/13*a**2 + 2/13*a**3 + 64/13.
2*(a 