
-(n - 1)**3/4
Suppose 2*x = -f + 6, 4*f + 2 - 6 = -4*x. Suppose -7*t = -2*t + x*z + 15, 5*t + 2*z = 0. Factor 4*q**3 - q**2 + 2*q**4 + 0*q**2 + t*q**2 + q**2.
2*q**2*(q + 1)**2
Solve 56/3*y - 2/5*y**3 + 16/15*y**2 - 64/5 = 0.
-6, 2/3, 8
Let t(f) be the first derivative of f**5/5 + f**4/2 - 41*f**3/3 - 21*f**2 + 648. Let t(n) = 0. What is n?
-7, -1, 0, 6
Let z(t) be the first derivative of 1/2*t**3 - 70 - 6*t**2 - 30*t. Let z(j) = 0. What is j?
-2, 10
Let t(o) be the first derivative of -2*o**6/15 - o**5 - 2*o**4/3 + 40*o**3/3 + 48*o**2 - 148*o + 127. Let f(v) be the first derivative of t(v). Solve f(m) = 0.
-3, -2, 2
Find z, given that -39/2*z + 15/2*z**3 - 9/2*z**2 + 15 + 3/2*z**4 = 0.
-5, -2, 1
Let d(x) = 2*x - 68. Let o be d(23). Let v be (8/(-150))/(o/55). Let 2/15*c**2 - 2/15 + v*c**3 - 2/15*c = 0. What is c?
-1, 1
Let h be (-2)/(-3)*(5 + -21 + -2). Let c be h + 8 + (2/(-2) - -5). Factor 0*a + c*a**2 + 0*a**4 - 5/2*a**3 + 0 + 5/2*a**5.
5*a**3*(a - 1)*(a + 1)/2
Solve 202/5 + 512/5*m**2 - m**3 - 709/5*m = 0 for m.
2/5, 1, 101
Factor -2/5*j**2 - 72/5 + 2/5*j**3 - 48/5*j.
2*(j - 6)*(j + 2)*(j + 3)/5
Suppose -99862*q**2 + 19 + 109 - 132*q + 99866*q**2 = 0. Calculate q.
1, 32
Suppose 2/3*x**2 + 4 + 10/3*x = 0. Calculate x.
-3, -2
Let o(t) be the third derivative of t**5/20 - 75*t**4/2 + 299*t**3/2 + 57*t**2 + t + 9. Factor o(g).
3*(g - 299)*(g - 1)
Let b be (38 + -1)/((-1)/(-2)). Factor 25*o**2 - 61*o**2 + 2*o**5 + 29 - 40*o**4 - 29 + b*o**3.
2*o**2*(o - 18)*(o - 1)**2
Let t be (-82)/(-26) + -3 - 427/(-13). Suppose 23*p + 51*p - 2*p**2 - t*p + 91*p - 2178 = 0. Calculate p.
33
Let j be (0/(-6))/(1*7/(-1)). Let y(n) be the third derivative of 0 + 1/80*n**5 + 1/16*n**4 + 19*n**2 + 1/8*n**3 + j*n. Solve y(k) = 0 for k.
-1
Let y(o) = 8*o**3 + 302*o**2 - 22197*o - 22500. Let d(w) = 11*w**3 + 303*w**2 - 22196*w - 22500. Let h(v) = -3*d(v) + 4*y(v). Solve h(r) = 0 for r.
-1, 150
Let k(x) be the second derivative of 2*x**6/75 - 19*x**5/25 + 13*x**4/15 + 58*x**3/5 + 108*x**2/5 + 9*x - 278. What is o in k(o) = 0?
-1, 3, 18
Let 4/7*d**5 + 80/7*d**4 - 144/7*d + 20*d**3 - 80/7*d**2 + 0 = 0. What is d?
-18, -2, -1, 0, 1
Let 1/5*z**4 + 132/5 + 173/5*z**2 - 268/5*z - 38/5*z**3 = 0. Calculate z.
1, 2, 33
Factor 9*i**3 + 10608*i - 615*i**2 - 3104 - 528 + 164.
3*(i - 34)**2*(3*i - 1)
Let i(s) be the second derivative of -s**7/8820 - s**6/140 - 17*s**5/420 + 13*s**4/3 - s**2/2 + 27*s. Let x(c) be the third derivative of i(c). Factor x(u).
-2*(u + 1)*(u + 17)/7
Let x(u) be the first derivative of 22*u - 21/2*u**2 - 1/3*u**3 - 61. Determine k, given that x(k) = 0.
-22, 1
Factor 0*z**2 - 240*z + 4*z**2 + 492*z - 14 - 226*z.
2*(z + 7)*(2*z - 1)
What is u in -4*u**3 + 50*u - 201*u + 9072 - 147*u**2 + 31*u**2 - 137*u = 0?
-18, 7
Let n(b) = -20*b + 0*b**2 + 5*b + 12382 + 4*b**2 + 8*b**2 - 12379. Let l be n(1). Solve l + 0*w**2 - 1/8*w**3 + 1/2*w = 0.
-2, 0, 2
Let p(d) = -12*d**3 + 32*d**2 + 50*d + 21. Let v(k) = 320*k**3 - 98*k**3 - 107*k**3 - 25*k - 110*k**3 - 15*k**2 - 11. Let a(f) = -2*p(f) - 5*v(f). Factor a(b).
-(b - 13)*(b + 1)**2
Let t(y) be the second derivative of 2*y**7/21 + 16*y**6/15 - 4*y**5 + 2*y**4/3 + 38*y**3/3 - 20*y**2 - 18*y + 16. Factor t(u).
4*(u - 1)**3*(u + 1)*(u + 10)
Suppose -7*g = 16*g + 23. Let u be 3 + (0 - (-2)/(-3)) + g. Find p, given that 8 + 4/3*p - u*p**2 = 0.
-2, 3
Let b(s) be the third derivative of 0*s + 13/24*s**4 - 1/210*s**7 - 2/3*s**3 + 2 + 3*s**2 + 7/120*s**6 - 1/4*s**5. Solve b(t) = 0.
1, 4
Let s = -75155 - -75157. Factor 35/2*l**3 + 0 - 5/2*l**5 + 10*l**s + 5*l**4 + 0*l.
-5*l**2*(l - 4)*(l + 1)**2/2
Suppose 27/2*y + 0 - 14*y**3 + 3*y**2 - 3*y**4 + 1/2*y**5 = 0. Calculate y.
-3, -1, 0, 1, 9
Let b(n) be the second derivative of -n**5/4 + 410*n**4/3 + 1655*n**3/6 - 1645*n**2 + 4338*n. Factor b(f).
-5*(f - 329)*(f - 1)*(f + 2)
Let s be (81/9 - 10)*-3. Find d such that -97*d**3 + 2738*d - 2*d**4 + 22*d**s - 2388*d**2 - 202*d**2 - 71*d**3 = 0.
-37, 0, 1
Let o(a) = -1. Let u(f) = -2*f**3 + 82*f**2 - 1110*f + 4944. Let t(g) = -12*o(g) + 2*u(g). Factor t(w).
-4*(w - 15)**2*(w - 11)
Let f(k) be the first derivative of -84 - 1/15*k**3 - 3/5*k**2 - 9/5*k. Factor f(o).
-(o + 3)**2/5
Suppose 33*s - 527 - 100 = 0. Let -14 + s*z + 4*z - 7*z**3 + 0*z**4 + z**4 - 3*z**2 = 0. What is z?
-2, 1, 7
Determine k so that -12/5*k + 0 - 164/5*k**2 = 0.
-3/41, 0
Let q(t) be the third derivative of t**6/540 - 2*t**5/45 - 7*t**4/3 - 32*t**3 + 3457*t**2. Factor q(f).
2*(f - 24)*(f + 6)**2/9
Let u(x) be the third derivative of -19*x**6/600 - 11*x**5/75 - 31*x**4/120 - x**3/5 + 1474*x**2. Factor u(y).
-(y + 1)**2*(19*y + 6)/5
Let x(m) be the first derivative of 261 - 7*m**2 - 2/21*m**3 - 96/7*m. Suppose x(k) = 0. What is k?
-48, -1
Let g = -1129 - -1129. Suppose -283*o + 271*o = g. Determine y so that o*y**3 + 4/11*y**4 + 0 + 2/11*y**5 - 4/11*y**2 - 2/11*y = 0.
-1, 0, 1
Let x(g) = g + 5. Let a(h) = -2*h**2 + 290*h - 20. Let s(p) = -2*a(p) - 8*x(p). Factor s(o).
4*o*(o - 147)
Let s(w) = 7*w**3 - 95*w**2 - 21*w. Let i(n) = -4*n**3 + 48*n**2 + 7*n. Let l(f) = 9*i(f) + 5*s(f). Factor l(j).
-j*(j + 1)*(j + 42)
Let g(f) be the third derivative of -2/735*f**7 + 8*f**2 + 0 - 32/21*f**3 - 6*f + 8/105*f**5 + 4/105*f**6 - 1/588*f**8 - 8/21*f**4. Solve g(w) = 0.
-2, -1, 2
Let x(t) = -8*t + 3*t - 6 + 6*t. Let o be x(8). Let 24*m**2 - 3*m + 6 + 84*m**4 + o*m**3 + m**3 - 114*m**2 = 0. Calculate m.
-1, -2/7, 1/4, 1
Let k(p) be the third derivative of -p**7/280 + 23*p**6/160 - 59*p**5/40 - 6*p**4 + 36*p**3 + 2511*p**2. Find g such that k(g) = 0.
-2, 1, 12
Suppose -160/9*z**3 - 52/3*z**2 - 2/9*z**4 + 160/9*z + 158/9 = 0. What is z?
-79, -1, 1
What is u in 1080/7*u - 2/21*u**4 + 0 + 82/21*u**3 - 48*u**2 = 0?
0, 5, 18
Let m(g) be the second derivative of -g**4/4 - 36*g**3 + 219*g**2/2 + 3*g + 256. Let m(a) = 0. What is a?
-73, 1
Determine w so that 53 + 15*w - 11 + 0*w**3 - 17*w**2 - 5*w**3 + 8*w**3 - 7*w**2 = 0.
-1, 2, 7
Determine n, given that -93*n + 187/2 - 375/2*n**2 - n**3 = 0.
-187, -1, 1/2
Let q(k) be the third derivative of -k**6/780 - k**5/30 - 31*k**4/156 + 15*k**3/13 + 2*k**2 - 603*k. Factor q(l).
-2*(l - 1)*(l + 5)*(l + 9)/13
Let c(k) be the third derivative of 2*k**3 - 7/8*k**4 + 12*k**2 + 1/10*k**5 + 1/40*k**6 + 0*k + 0. Find l such that c(l) = 0.
-4, 1
Let m be (585/(-25) + -5)*(-30)/4. Suppose -m*z**3 + 4*z**4 + 98*z**3 + 103*z**3 - z**2 - 15*z**2 = 0. What is z?
-1, 0, 4
Suppose 69*c - 5 = -8 + 3. Factor c - 12/7*t**3 + 4/7*t**2 - 4/7*t**4 + 12/7*t.
-4*t*(t - 1)*(t + 1)*(t + 3)/7
Let z be (66/(-15))/(564/140 + -4). Let p be (-2492)/z + -9 - 1*-1. Let 360/11*v + 6/11*v**5 - p*v**3 + 432/11 + 0*v**4 - 60/11*v**2 = 0. What is v?
-2, 3
Solve -3*g**4 + 2974*g**2 - 800*g**2 - 886*g**2 + 6*g**3 - 928*g**2 = 0 for g.
-10, 0, 12
Let t be (-3)/2 + (-2)/(-3)*825/100. Let z(w) be the first derivative of -3/4*w**t - 1/5*w**5 + 2*w + 3/2*w**2 - 1/3*w**3 + 5. Factor z(b).
-(b - 1)*(b + 1)**2*(b + 2)
Let h be 18/243 + (-17004)/(-81). Let n = h + -208. Suppose 15/2*b**n - 3*b + 0 = 0. What is b?
0, 2/5
Let v(w) = w**2 - 1 + 19*w**3 - 18*w**3 - w + 2*w**2 + 0*w**2. Let j be v(-2). Factor 3*a**4 - 6*a**2 + 7*a**j + 2*a**2 - 6*a**5.
a**2*(a - 1)*(a + 2)**2
Let d = 8 + -11. Let v = d - -6. Factor -3 - 48*o**2 + 0*o - 25*o**3 - 2*o**v - 21*o + 3*o**2.
-3*(o + 1)*(3*o + 1)**2
Let y(h) be the first derivative of h**4/16 + 13*h**3/3 + 101*h**2/8 + 25*h/2 + 4656. Factor y(t).
(t + 1)**2*(t + 50)/4
Let g(u) be the first derivative of -3*u**4/2 - 130*u**3/3 + 166*u**2 - 96*u + 844. Solve g(a) = 0.
-24, 1/3, 2
Let i(t) = 257*t**2 + 8232*t + 256. Let b be i(-32). Factor 47/2*g**2 + b + 7/2*g**3 - 7*g.
g*(g + 7)*(7*g - 2)/2
Let f(s) be the second derivative of 3*s**7/7 + 319*s**6/105 + 457*s**5/70 + 197*s**4/42 - 16*s**3/21 - 12*s**2/7 + 5599*s. Suppose f(b) = 0. What is b?
-3, -1, -2/7, 2/9
Let b(c) be the first derivative of c**6/2 + 42*c**5/5 + 39*c**4/4 + 1164. Factor b(q).
3*q**3*(q + 1)*(q + 13)
Let j = 19823/5 - 59444/15. Determine w so that 2/3 + 4/3*w**2 - j*w - 1/3*w**3 = 0.
1, 2
Let v = 745379 + -745377. Factor 33/5 - 3/5*k**v - 6*k.
-3*(k - 1)*(k + 11)/5
Let v be 30/56 - 15/60. Let g be 1 + (48/80 - (-7)/5). Determine c, given that 0*c + v*c**4 + 0 + 0*c**2 - 2/7*c**g = 0.
0, 