*y**3 + 7/2*y**4 + 2 + 8*y + 1/2*y**5 + 25/2*y**2.
(y + 1)**3*(y + 2)**2/2
Let n(s) be the first derivative of -s**5/80 + s**4/12 + 5*s**3/24 - 67*s + 61. Let p(w) be the first derivative of n(w). Solve p(d) = 0.
-1, 0, 5
Find s such that 39*s**3 + 66*s**2 - 41*s - 115*s - 18*s**4 + 343228 - 343204 = 0.
-2, 1/6, 2
Let u(o) be the third derivative of 5*o**8/336 + o**7/7 + o**6/2 + 5*o**5/6 + 5*o**4/8 + 918*o**2. What is y in u(y) = 0?
-3, -1, 0
Let n(r) = -2*r**2 + 2*r + 1. Let p(k) be the third derivative of -k**5/6 - 29*k**4/12 + k**3 + 53*k**2. Let t(m) = -6*n(m) + p(m). Factor t(j).
2*j*(j - 35)
Let u = -109 - -1211/11. Let k = 4415 - 48559/11. Factor k*g**4 + 0 + 0*g + u*g**2 + 18/11*g**3.
6*g**2*(g + 1)*(g + 2)/11
Let l = 3889 + -27213/7. Find f such that -8/7 + 8/7*f - 6/7*f**3 + l*f**2 = 0.
-1, 2/3, 2
Suppose 4*q = 3*o + 36, -2*o = -22 + 38. Suppose 2/7*y**q - 2/7*y**2 + 0 - 4/7*y = 0. Calculate y.
-1, 0, 2
Let k(p) be the third derivative of -p**6/40 - 8*p**5/5 + 35*p**4/8 + 33*p**3 - 3094*p**2. Factor k(n).
-3*(n - 2)*(n + 1)*(n + 33)
Let v(l) = 8*l - 2*l**2 - l + 11*l + 4*l - 6*l. Let n(u) = 12*u**2 - 80*u. Let k(f) = 3*n(f) + 16*v(f). Suppose k(m) = 0. What is m?
-4, 0
Let r(k) be the first derivative of -2*k**5/3 + k**4/3 + 26*k**3/9 + 2*k**2 + 477. Solve r(i) = 0 for i.
-1, -3/5, 0, 2
Let u(d) be the first derivative of d**3/3 - 6*d**2 + 32*d - 970. Factor u(s).
(s - 8)*(s - 4)
What is k in -156*k + 186*k + k**2 + 0*k**2 - 4*k**2 = 0?
0, 10
Let k(x) = -11*x + 331. Let f be k(31). Let s be 1/(-12 - f) + 9/2. Solve -6*y + 8/3 - 2/3*y**3 + s*y**2 = 0 for y.
1, 4
Suppose -2*l + 91 = -3*a, -l = a + 45 - 8. Let n be 12/a - (-4)/11. Find v, given that 2/5*v**2 - 2/5*v + n = 0.
0, 1
Let s = 4052796/5 - 810549. Solve -156/5 - 3/5*n**2 + s*n = 0 for n.
4, 13
Let w(g) = 11*g**3 - 1324*g**2 - 19968*g + 24572. Let i(q) = 19*q**3 - 1325*q**2 - 19968*q + 24571. Let y(l) = -4*i(l) + 5*w(l). Suppose y(p) = 0. What is p?
-32, 8/7
Let d(n) = 3*n**2 - 16*n - 10. Let i be d(6). Factor -2*k**2 + 14 - 8*k**2 + k**2 - 4*k**i + 5*k + 12*k**2.
-(k - 7)*(k + 2)
Determine t so that -294*t**2 - 129654*t - 2/9*t**3 - 19059138 = 0.
-441
Let p(f) = -38*f**2 - 1696*f + 361250. Let b(n) = -10*n**2 + n. Let t(h) = -4*b(h) + p(h). Factor t(o).
2*(o - 425)**2
Suppose -32 = 10*f + 22*f. Let c be 67/335 - 39/55*f. Factor 10/11*y**3 - c*y + 4/11*y**2 - 4/11.
2*(y - 1)*(y + 1)*(5*y + 2)/11
Let a(w) be the second derivative of 3*w**5/140 - 393*w**4/7 - 7912*w. Determine u so that a(u) = 0.
0, 1572
Let x(k) be the first derivative of -k**6/2880 - k**5/960 + k**4/96 + 23*k**3 - 13. Let q(n) be the third derivative of x(n). Factor q(p).
-(p - 1)*(p + 2)/8
Let k(c) be the third derivative of -c**4/24 + 7*c**3/3 + 284*c**2. Let u be k(9). Determine d so that 0*d**2 + 0 + 11/3*d**3 + 2/3*d**u - 3*d**4 - 4/3*d = 0.
-1/2, 0, 1, 2
Let m = 278 + -28081/101. Let p = 817/303 + m. Suppose s**3 - 11/3*s**2 - 2*s + p = 0. Calculate s.
-1, 2/3, 4
Let s(k) = 2*k**3 + 18*k**2 + 52*k + 40. Let x(c) = c + 2. Let f(i) = s(i) - 4*x(i). Find j such that f(j) = 0.
-4, -1
Let p(b) = -b + 48. Let v be p(-20). Let -4*g + 65*g**2 - 4*g**3 - 141*g**2 + v*g**2 = 0. Calculate g.
-1, 0
Find q, given that 9 - 35*q**2 - 19*q**3 + 107*q + 52 + q**4 + 44*q**3 + 124*q**2 - 19 = 0.
-21, -2, -1
Find r, given that -1/2*r**3 + 0*r + 3/8*r**4 + 1/8*r**5 + 0 + 0*r**2 = 0.
-4, 0, 1
Let o = -653 + 659. Let -2*k + 4*k**2 + 6*k**2 - 120 - 26*k - o*k**2 = 0. What is k?
-3, 10
Let i = -232 + 234. Factor -25*x**3 - 19*x - 36*x + 40*x + 1 + 51*x**i - 12*x.
-(x - 1)**2*(25*x - 1)
Let h(c) = 5*c**3 + 232*c**2 - 587*c + 431. Let f(z) = 2*z**3 + 116*z**2 - 298*z + 216. Let t(q) = 9*f(q) - 4*h(q). Suppose t(u) = 0. Calculate u.
1, 2, 55
Let u(a) be the first derivative of a**3/18 + 67*a**2/6 - 136*a/3 + 114. Factor u(w).
(w - 2)*(w + 136)/6
Factor -116*f**3 + 84*f - 85*f + 117*f**3 - 31*f**2 + 4*f**2 + 27.
(f - 27)*(f - 1)*(f + 1)
Let v(z) = -z**2 - 10*z + 7. Let d be v(-10). Let w be (-93)/(-217) - (-1)/d. Factor 2/7*i + w*i**2 + 2/7*i**3 + 0.
2*i*(i + 1)**2/7
Factor -910/3 + 5/3*m**2 - 5/3*m.
5*(m - 14)*(m + 13)/3
Find h, given that 68*h**3 + 15*h - 73*h**3 + 40*h - 50*h**2 + 0 + 0 = 0.
-11, 0, 1
Let d = -364 + 368. Factor -15 - 20*t**3 + d*t**4 - 6*t**4 + 14*t + 10*t**2 + 7*t**4 + 6*t.
5*(t - 3)*(t - 1)**2*(t + 1)
Determine q, given that -4680*q**2 + 832*q + 8720*q**2 + 0 - 4*q**3 + 0 - 4868*q**2 = 0.
-208, 0, 1
Let b(d) = 19 + 2*d + 5*d - 26. Let q be b(2). Suppose -4*c**5 + c**3 + q*c**2 - 8*c**4 - c**3 + c**2 + 4*c = 0. Calculate c.
-1, 0, 1
Factor -4/3 - 2*x**3 - 14/3*x**2 - 2/9*x**4 - 38/9*x.
-2*(x + 1)**3*(x + 6)/9
Let d(p) be the second derivative of -p**5/60 + 5*p**4/6 - 50*p**3/3 + 25*p**2 - p + 17. Let m(x) be the first derivative of d(x). Factor m(f).
-(f - 10)**2
Let c be (-10)/(-70)*17397/9. Let w = 277 - c. Let -36/7*x**2 - w*x**5 + 2/7*x + 6/7 - 34/7*x**4 - 60/7*x**3 = 0. Calculate x.
-3, -1, 1/3
Let q be (-3269)/(-35) + ((-72)/(-20) - 3). Let o = q - 646/7. Find x such that -24/7*x + 26/7*x**2 + 2/7*x**4 + 8/7 - o*x**3 = 0.
1, 2
Let v(x) be the first derivative of -18 - x**4 + 12/5*x**5 - 28*x**3 - 24*x + 50*x**2. Find g such that v(g) = 0.
-3, 1/3, 1, 2
Let b be (-8)/(-4)*(-2625)/(-10). Let c be (-16)/(-6)*b/28. Find v, given that v**3 + 9*v**3 + 15*v**3 + c*v**2 - 15*v**4 - 100*v + 40 = 0.
-2, 2/3, 1, 2
Let n(r) = -r**3 + 12*r**2 - 6*r + 5. Let t be n(11). Let h be 15/(-5)*(-50)/t. Factor h*k + 0 + 1/2*k**2.
k*(k + 5)/2
Factor 38/11*v**2 + 1638/11*v + 172/11.
2*(v + 43)*(19*v + 2)/11
Let z(b) = b**3 + 2*b**2 - 3*b + 2. Let p be z(-3). Let i = 70 + -56. Factor -7*o**3 + 3*o**3 + 14 - i - 4*o**p.
-4*o**2*(o + 1)
Let z be 258/(-8) - 0 - (-144)/(-36). Let a = -36 - z. Solve t**3 + 0*t**4 - 3/4*t - 1/2*t**2 + 1/2 - a*t**5 = 0.
-2, -1, 1
Let m(h) = 6*h**2 - 1. Let o be m(-3). Solve o*i**3 - 4*i**3 - 33*i**4 - 19*i**3 + 3*i**5 = 0 for i.
0, 1, 10
Let a(k) be the first derivative of -k**7/735 - 3*k**6/140 - 4*k**5/105 + 197*k**2/2 + 191. Let z(u) be the second derivative of a(u). Solve z(q) = 0.
-8, -1, 0
Let l(z) be the second derivative of z**4/114 + 787*z**3/57 + 2352*z**2/19 - 3782*z. Find q, given that l(q) = 0.
-784, -3
Let k(a) be the second derivative of a**4/6 + 76*a**3/39 - 12*a**2/13 + 22*a - 34. What is u in k(u) = 0?
-6, 2/13
Let m(c) be the second derivative of c**6/15 - 7*c**5/6 - 100*c**4/9 - 140*c**3/9 + 64*c**2 + 2*c + 13. Suppose m(b) = 0. Calculate b.
-3, -2, 2/3, 16
Factor -167931 - 6160*k + 170956 - 95*k**3 + 3246*k**2 + k**4 - 55*k**3 + 38*k**3.
(k - 55)**2*(k - 1)**2
Let x(d) be the first derivative of 5*d**4/3 - 1616*d**3/9 + 640*d**2/3 - 9423. Suppose x(z) = 0. What is z?
0, 4/5, 80
Let n = -162361/7 - -23195. Solve 2/7*s**3 - 2/7*s - 4/7*s**2 + n = 0.
-1, 1, 2
Let k(q) be the first derivative of 8*q + 1/6*q**3 - 113 - 2*q**2. What is u in k(u) = 0?
4
Let c(s) = 2*s + 16. Let m be c(-7). Suppose -m*o - 2*j = j - 36, 5*o + j - 90 = 0. Solve -o*q**2 - 20*q - 13*q**2 + 26*q**2 = 0.
-4, 0
Solve -1/4*m**4 + 1/2*m**3 + 0 + 5/4*m**2 - 3/2*m = 0.
-2, 0, 1, 3
Let t(r) = -10*r**2 + 2518*r + 7128. Let i(x) = -4*x**2 + 1010*x + 2851. Let g(h) = 12*i(h) - 5*t(h). Solve g(s) = 0.
-3, 238
Suppose 2*y + j - 2 = 0, 3 = -5*j - 7. Let t be (-14 - -2)*y/(-6). Let 69/4*n**2 + 9/4*n**t - 21/2*n**3 - 12*n + 3 = 0. Calculate n.
2/3, 1, 2
Factor -17598*s**2 + 2*s**3 + 608*s - 4*s**3 + 1233*s + 391*s + 17828*s**2.
-2*s*(s - 124)*(s + 9)
Let x(k) = k**3 + 7*k**2 - 9*k + 6. Let c be x(-9). Let s = -59 - c. Factor 15*y**3 + 9*y**4 + 14*y**5 - 25*y**5 + 3*y**2 - s*y**5.
-3*y**2*(y - 1)*(3*y + 1)**2
Suppose 3*w + 4*s = 18, -6*s + 11*s + 24 = 4*w. Factor 2*d**2 - 17*d**2 - 20 + 4*d**2 + 20*d + w*d**2.
-5*(d - 2)**2
Suppose -7761*h = -7804*h + 129. Factor 0 - 1/3*n**2 - 1/9*n - 1/3*n**h - 1/9*n**4.
-n*(n + 1)**3/9
Let w = 9417313/4301220 - -1/45276. Let h = -34/19 + w. Factor 2/5 - h*c**3 - 6/5*c + 6/5*c**2.
-2*(c - 1)**3/5
Let y(u) = -2*u**2 + u - 1. Let l(f) = -9*f**2 - 2630*f - 885. Let p(a) = l(a) - 6*y(a). Factor p(z).
(z - 879)*(3*z + 1)
Factor 406 - 20*m**3 + 435*m + 316 + 100*m**2 + 26 - 388.
-5*(m - 8)*(2*m + 3)**2
Let c(o) be the first derivative of 5*o**4/4 + 240*o**3 - 1455*o**2/2 + 730*o + 1768. Find r 