2 - 710*y**4.
3*(y - 1)**3*(y + 265)
Let k = 71 - -71. Let -30*y - 137*y**3 - k + 7*y**3 + 35*y**4 + 10*y**5 + 142 + 115*y**2 = 0. What is y?
-6, 0, 1/2, 1
Let l be (-9 - -25)/(-2) - -12. Let f be ((-21)/4)/(-7)*l. Factor 0 + 0*b**f - 4/5*b**4 - 2/5*b**5 + 0*b + 0*b**2.
-2*b**4*(b + 2)/5
Solve 131/2*m + 55 + 11/2*m**2 = 0.
-11, -10/11
Let s(c) be the first derivative of 2809*c**4/12 - 19451*c**3/9 - 740*c**2/3 - 28*c/3 + 880. Factor s(z).
(z - 7)*(53*z + 2)**2/3
Let q(a) be the third derivative of a**5/30 - 11*a**4/3 + 28*a**3 + a**2 + 8*a - 14. Suppose q(m) = 0. What is m?
2, 42
Determine j so that -3/4*j**3 - j - 1/2*j**4 + 0 + 1/4*j**5 + 2*j**2 = 0.
-2, 0, 1, 2
Determine a, given that 396/5*a + 0 - 136/5*a**3 + 2/5*a**4 + 258/5*a**2 = 0.
-1, 0, 3, 66
Let -36*j**2 - 13600*j**3 - 112*j + 6802*j**3 + 6796*j**3 = 0. What is j?
-14, -4, 0
Let u(y) be the first derivative of -5*y**3/6 + 105*y**2/4 + 675*y + 81. Factor u(z).
-5*(z - 30)*(z + 9)/2
Let o = -1968 - -15853/8. Let g = -103/8 + o. Solve 9/2*x**3 - 3/4 + g*x**2 - 9/2*x = 0 for x.
-1, -1/6, 1
Let j(z) be the second derivative of z**4/4 - 163*z**3/2 - 246*z**2 - 5067*z. Factor j(n).
3*(n - 164)*(n + 1)
Suppose -123*q + 92 + 120 = 69 - 103. Let -2/7*g**q - 3872/7 - 176/7*g = 0. What is g?
-44
Let k(y) be the third derivative of 11*y**6/300 + 19*y**5/75 - 2*y**4/5 - 1239*y**2 - 1. Suppose k(w) = 0. What is w?
-4, 0, 6/11
Let z(q) be the second derivative of -1/8*q**4 + 155*q + 0 - 8*q**3 + 0*q**2. Solve z(v) = 0 for v.
-32, 0
Let l be ((-3480)/(-319) - 12)/(5/(-33)). Factor -l - 3/5*j**3 - 48/5*j - 21/5*j**2.
-3*(j + 2)**2*(j + 3)/5
Let p(q) be the second derivative of q**7/21 + q**6/24 - q**5/6 - 5*q**4/24 - 107*q**2/2 + 12*q. Let f(l) be the first derivative of p(l). Factor f(v).
5*v*(v - 1)*(v + 1)*(2*v + 1)
Suppose 5178 = -5*s - s. Let y = -1723/2 - s. Factor -1/2*k**3 + y*k**2 + 0 - k.
-k*(k - 2)*(k - 1)/2
Let k = -5082 - -5085. Let p(b) be the first derivative of -k + 0*b**2 + 3/2*b**4 + 0*b + 0*b**3 - 3/5*b**5. Factor p(i).
-3*i**3*(i - 2)
Let z be ((-8340)/(-39))/(-4)*(-198)/(-15). Let j = z + 706. Factor -2/13*n**3 + j*n**2 + 2/13*n - 4/13.
-2*(n - 2)*(n - 1)*(n + 1)/13
Let d(w) be the first derivative of -5*w**6/6 + 74*w**5 - 2475*w**4 + 111320*w**3/3 - 212960*w**2 - 35. Factor d(z).
-5*z*(z - 22)**3*(z - 8)
Let n(o) be the second derivative of -o**6/1440 + 9*o**5/80 - 49*o**3/6 + 3*o**2/2 - 110*o. Let x(f) be the second derivative of n(f). Factor x(j).
-j*(j - 54)/4
Suppose -t - 4*t = 3*x - 3095, 4*x = -t + 619. Let p = 619 - t. Find u such that p - 4*u**3 + 4/3*u**5 + 32/3*u**2 - 16/3*u - 8/3*u**4 = 0.
-2, 0, 1, 2
Find o such that 759/8 - 32*o + 1/8*o**2 = 0.
3, 253
Let a(f) = -12*f**5 - 9*f**4 - 11*f**2 - 11. Let q(b) = b**5 + 3*b**4 + b**2 + 1. Let c(d) = a(d) + 11*q(d). Factor c(h).
-h**4*(h - 24)
Suppose 4*l - 64 = -3*f + 260, 5*f = -3*l + 232. Let g = 102 - l. What is n in -46*n**3 - 16 - 24*n**4 + 13*n + 2*n + 36*n**2 + 9*n + g*n**5 + 0*n = 0?
-1, 2/3, 2
Let p(m) = -m**3 + 2*m**2 + 4*m + 3. Let q be p(-1). Factor 76372 - 350*w**q - 76372 - 6125*w - 5*w**3.
-5*w*(w + 35)**2
Factor -4806150/11*c - 2/11*c**3 - 5370/11*c**2 - 1433834750/11.
-2*(c + 895)**3/11
Let g = 536 + -531. Suppose -70*p**2 + 53 - 60*p**3 + 40*p**4 + 564*p - 539*p - 23 + 35*p**g = 0. What is p?
-1, 6/7, 1
Factor 10269/2*d + 3/4*d**2 + 35150787/4.
3*(d + 3423)**2/4
Let a(q) be the third derivative of -129*q**2 - 1/600*q**6 + 0*q + 0 + 0*q**5 + 0*q**3 + 0*q**4. Factor a(w).
-w**3/5
Let s(c) be the first derivative of -c**3/15 - c**2/10 + 42*c/5 - 432. Determine z, given that s(z) = 0.
-7, 6
Factor -633*o**2 + 184 + 680*o**3 - 1304 - 1207*o**2 + 2320*o + 25*o**5 - 20*o**5 - 110*o**4.
5*(o - 14)*(o - 2)**4
Let f = -389699/80 - -9743/2. Let d(p) be the second derivative of 0 + 1/4*p**3 + 0*p**2 + f*p**5 + 9/16*p**4 - 14*p. What is x in d(x) = 0?
-1, -2/7, 0
Let w be 63/(-42)*(0 - (-4)/(-3)). Let i(s) be the first derivative of 0*s**3 - 12 + 1/4*s**4 - 1/2*s**w + 0*s. Factor i(t).
t*(t - 1)*(t + 1)
Let i = -292042 + 292045. Factor 1/2*b + 0*b**2 + 1/4 - 1/2*b**i - 1/4*b**4.
-(b - 1)*(b + 1)**3/4
Suppose 4 = 3*i + 4*j, 4 = 17*i - 19*i + 4*j. Let g = -147 + 589/4. Factor 1/4*b**2 + i - 1/4*b**4 + g*b**5 + 0*b - 1/4*b**3.
b**2*(b - 1)**2*(b + 1)/4
What is w in 26/9 + 22/9*w**2 - 50/9*w + 2/9*w**3 = 0?
-13, 1
Let i(x) be the third derivative of -1/21*x**4 - 4 + 1/105*x**6 + x**2 - 2/735*x**7 + 0*x**5 + 2/21*x**3 + 0*x. Factor i(u).
-4*(u - 1)**3*(u + 1)/7
Let q(r) be the third derivative of -r**6/60 - 483*r**5/20 - 181*r**4/6 - 55*r**2 - 21. Factor q(s).
-s*(s + 724)*(2*s + 1)
Let h(w) be the first derivative of -34/19*w + 33/19*w**2 - 1/38*w**4 - 10/19*w**3 + 53. What is t in h(t) = 0?
-17, 1
Factor -82/3*n**2 - 38*n - 32/3.
-2*(n + 1)*(41*n + 16)/3
Suppose -166/7*q - 22*q**2 - 12/7 = 0. What is q?
-1, -6/77
Factor -350/9*l + 688/9*l**2 + 44/9 + 32/9*l**3.
2*(l + 22)*(4*l - 1)**2/9
Let l(g) be the third derivative of g**6/120 - 7*g**5/20 + 23*g**4/24 + 95*g**3/2 + 7114*g**2. Determine x, given that l(x) = 0.
-3, 5, 19
Suppose 66 = 3*r - 4*l, -6*r + r = -l - 93. Suppose 2*i = -4*u + r, 4*u + 3*i - 21 = -0*u. Let 9/7*h - 6/7 + 3/7*h**2 - 9/7*h**u + 3/7*h**4 = 0. What is h?
-1, 1, 2
Suppose -y - 117*v + 120*v + 39 = 0, -5*y + 2*v + 26 = 0. Factor 10/11*l**4 + 2/11*l**5 + 0 + 12/11*l**3 + 0*l**2 + y*l.
2*l**3*(l + 2)*(l + 3)/11
Let p(r) = 38*r**2 - 13*r - 21. Let o be 1 + -7 + 15 + -10. Let t(a) = a**2 - a - 2. Let y(j) = o*p(j) - 2*t(j). Let y(c) = 0. What is c?
-5/8, 1
Factor 3/5*f**3 - 174/5*f - 3/5*f**2 + 336/5.
3*(f - 7)*(f - 2)*(f + 8)/5
Let s(w) be the third derivative of 5*w**8/336 - 37*w**7/210 + 33*w**6/40 - 119*w**5/60 + 8*w**4/3 - 2*w**3 - w**2 + 387*w. What is i in s(i) = 0?
2/5, 1, 2, 3
Factor -3684/17*r + 2/17*r**2 + 1696482/17.
2*(r - 921)**2/17
Let f = -421 - -429. Suppose f*b - b = b. What is s in 4/5*s**2 + 0*s**3 - 2/5 + b*s - 2/5*s**4 = 0?
-1, 1
Suppose 36*m - 32*m + 3*p = 30, 3*m + 3*p - 27 = 0. Let -9*q**2 + 0 + 0*q + 1/8*q**5 + 5/4*q**4 + 3/2*q**m = 0. What is q?
-6, 0, 2
Let i(c) = -2*c**4 - c**3 + 8*c**2 - 11*c. Let d(s) = -s**4 - 2*s**3 + s. Let l = -750 + 751. Let f(b) = l*i(b) - d(b). Find r such that f(r) = 0.
-3, 0, 2
Factor -19 - 69/2*v - 12*v**2 + 7/2*v**3.
(v + 1)**2*(7*v - 38)/2
Suppose -160*h + 11 = -150*h - 9. Factor 0 + 0*z + 2*z**h + 2/3*z**4 - 10/3*z**3 + 2/3*z**5.
2*z**2*(z - 1)**2*(z + 3)/3
Let z(v) = 15*v**4 + 95*v**3 - 225*v**2 + 110*v. Let c = -231 - -224. Let u(x) = 22*x**4 + 143*x**3 - 338*x**2 + 166*x. Let y(o) = c*z(o) + 5*u(o). Factor y(l).
5*l*(l - 1)**2*(l + 12)
Let y(a) be the second derivative of a**8/420 + a**7/105 - a**6/18 - a**5/5 - a**3/6 + 23*a**2 - 88*a. Let s(d) be the second derivative of y(d). Factor s(o).
4*o*(o - 2)*(o + 1)*(o + 3)
Let o(s) be the second derivative of s**6/480 + s**5/10 + 3*s**4/2 + 45*s**2/2 - 69*s. Let r(y) be the first derivative of o(y). Factor r(p).
p*(p + 12)**2/4
Let t be 10 + 2 + (-6)/1. Let z = t - 4. Solve 21*u**3 - 3*u**4 + 15*u + 13*u**z - 38*u**2 + 0*u**4 - 8*u**2 = 0.
0, 1, 5
Let q(l) be the second derivative of l**5/140 + 83*l**4/12 - 97*l**3/7 - 15732*l. Find m, given that q(m) = 0.
-582, 0, 1
Let -126/5 + 8/5*h**2 + 18/5*h = 0. Calculate h.
-21/4, 3
Let d(x) = -16*x**3 + 80*x**2 - 80*x - 204. Let c(i) = 15*i**3 - 82*i**2 + 85*i + 203. Let g(m) = 4*c(m) + 3*d(m). Suppose g(l) = 0. What is l?
-1, 10/3, 5
Let 39*j**3 + 300*j**2 + 2550*j + 43751 + 4950*j - 35*j**3 + 18749 = 0. What is j?
-25
Let p(x) be the first derivative of 1/22*x**4 - 16/33*x**3 + 28/11*x - 44 + 5/11*x**2. Determine o, given that p(o) = 0.
-1, 2, 7
Let a be 8 + 0 - 506/23. Let m be ((-35)/a - 4)*(-50)/12. Factor -1/4*g**2 - 5/2*g - m.
-(g + 5)**2/4
Let b(m) be the third derivative of 0 - 129/20*m**5 - 11*m - 5547/8*m**4 + 3*m**2 - 79507/2*m**3 - 1/40*m**6. Factor b(a).
-3*(a + 43)**3
Let p(s) = -s + 19. Let d be p(5). Let z be (-2)/12*d*52/(-91). Factor 4*t**2 + z + 4/3*t**3 + 4*t.
4*(t + 1)**3/3
Let q(b) be the second derivative of b**4/2 + 4690*b**3/3 - 3128*b**2 - 43*b + 33. Factor q(c).
2*(c + 1564)*(3*c - 2)
Let q(v) be the third derivative of v**8/20160 - v**7/8400 - v**6/1800 - 7*v**5/60 - 5*v**3/2 + 102*v**2. Let t(l) be the third derivative