4 + 27*x**3.
-3*x*(x - 6)*(x + 1)*(2*x + 1)
Let t(p) be the second derivative of p**4/30 + 39*p**3/5 - 12*p + 21. Solve t(q) = 0 for q.
-117, 0
Let o(k) = 3*k**2 + 125*k + 33. Let n be o(-42). Let s(g) be the first derivative of -18 + n*g**2 - 500*g + 1/8*g**4 - 5*g**3. Factor s(h).
(h - 10)**3/2
Let u(z) be the first derivative of 41 - 3/5*z**2 + 3/5*z + 3/10*z**4 + 0*z**3 - 3/25*z**5. Solve u(a) = 0 for a.
-1, 1
Let i(w) be the first derivative of w**5/6 + 175*w**4/24 + 170*w**3/3 + 260*w**2/3 - 1120*w/3 + 80. Suppose i(p) = 0. What is p?
-28, -4, 1
Let s = 9152 - 9148. Determine x so that 0 + 14/3*x**s + 8*x**3 - 50/3*x**2 + 4*x = 0.
-3, 0, 2/7, 1
Let b(v) = -v - 6. Let z be b(-10). Suppose -3*x - 6 - 9 = -3*r, 5 = -r - z*x. Let 5*y + 5 - r - 2*y + 4 - 3*y**2 = 0. Calculate y.
-1, 2
Suppose k - 5*k = 0, 0 = 2*l - 2*k - 24. Let u be l + -2 + 1 + -3. Solve r**5 - 3*r**3 - 21*r**4 + u*r**4 + 2*r - r**2 + 14*r**4 = 0 for r.
-2, -1, 0, 1
Let w be (8 - 12) + 6 - 2. Let f(y) be the third derivative of -15*y**2 - 1/75*y**5 - 1/25*y**6 + 0*y**3 + w + 0*y + 1/30*y**4. Factor f(t).
-4*t*(2*t + 1)*(3*t - 1)/5
Let t(q) be the third derivative of -q**8/56 - 4*q**7/21 - 3*q**6/5 - 8*q**5/15 - 1557*q**2. Let t(w) = 0. Calculate w.
-4, -2, -2/3, 0
Let n(i) be the first derivative of 1/12*i**4 - 191 - 2/9*i**3 + 12*i - 5/2*i**2. Factor n(w).
(w - 3)**2*(w + 4)/3
Let s = 301 + -297. Let -711 + 20*t**5 - 175*t**4 + 1530*t**3 - 14*t**4 - 96*t**s - 9 - 3725*t**2 + 3720*t = 0. What is t?
1/4, 3, 4
Suppose 425*m**3 + 242*m - 20*m**4 - 68*m**4 - 44*m - 615*m**2 + 72*m + 3*m**4 + 5*m**5 = 0. Calculate m.
0, 1, 6, 9
Factor 5*s**4 - 5 - 401*s + 204*s - 10*s**3 + 207*s.
5*(s - 1)**3*(s + 1)
Let m(t) = -t**3 - 36*t**2 + 121*t + 1713. Let l be m(-38). Let 0 + 8/5*i**l - 2/5*i**5 - 7/5*i**2 + 13/5*i**4 + 0*i = 0. What is i?
-1, 0, 1/2, 7
Let x = -248219/60 - -4137. Let n(p) be the third derivative of 0*p**3 + 8*p**2 + 0*p - 1/16*p**4 + 0 - x*p**5. Find l, given that n(l) = 0.
-3/2, 0
Let k be (1 + (-770)/28)/((-1)/22). Let d be (2/16 + k/264)*1. Find t such that 8/3*t**2 - 1/3 + d*t = 0.
-1, 1/8
Factor -6*h**3 + 6*h**3 - 2*h**3 - 84864*h + 321*h**2 - 1141*h**2 - 166464.
-2*(h + 2)*(h + 204)**2
Let c(l) be the third derivative of -23/12*l**5 - 1/24*l**6 + 19/42*l**7 - 1 + 5/3*l**4 + 0*l - 5/48*l**8 + 10/3*l**3 - 22*l**2. Suppose c(o) = 0. What is o?
-1, -2/7, 1, 2
Let c(m) be the second derivative of -2*m**7/21 + 29*m**6/15 - 54*m**5/5 - 5*m**4/3 + 238*m**3/3 - 147*m**2 + 1860*m. Suppose c(d) = 0. What is d?
-3/2, 1, 7
Let m(c) = 15*c**2 + c - 1. Let i(a) = 370*a**2 - 290*a + 625. Let o(l) = -i(l) + 25*m(l). Suppose o(x) = 0. What is x?
-65, 2
Suppose r + 2 = -2*w, -4*r + 4*w = -13 - 3. Let a be 32*(6 - 8/r). Determine k so that 128*k**2 + 22*k**3 + 9*k**4 - 118*k**3 - a*k - 4*k**5 + 23*k**4 = 0.
0, 2
Let f(a) = 15*a**3 + 35*a - 50. Let r(u) = -30*u**3 - 69*u + 99. Let y(v) = 9*f(v) + 4*r(v). Let k(s) = s**3 - 1. Let m(n) = -18*k(n) + y(n). Solve m(g) = 0.
-4, 1, 3
Suppose 3260*p**3 + 770*p**2 - 325*p**4 + 3 - 3 - 870*p**2 = 0. What is p?
0, 2/65, 10
Let c(p) = 3*p - 35. Let l be c(19). Let a = l - 15. Suppose 3*x**2 + 18*x + 23 - 7 - a + 15 = 0. What is x?
-4, -2
Suppose -66*o + 63*o - 13 = -2*k, -2*k = 6*o - 40. Find l such that 35/2*l**o - 5/4*l**4 + 0 + 0*l**2 + 0*l = 0.
0, 14
Let n = 9439 - 9439. Factor -1/8*o**3 - 5/8*o**2 - 3/4*o + n.
-o*(o + 2)*(o + 3)/8
Suppose -26/5*h**2 - 96/5 - 2/5*h**3 - 92/5*h = 0. Calculate h.
-8, -3, -2
Let c(z) be the second derivative of -z**6/90 - 7*z**5/30 - 13*z**4/12 + 3*z**3 - 2473*z. Factor c(t).
-t*(t - 1)*(t + 6)*(t + 9)/3
Let z(i) be the second derivative of -i**5/60 + 91*i**4/36 - 2279*i**3/18 + 9245*i**2/6 + 124*i. Factor z(o).
-(o - 43)**2*(o - 5)/3
Determine k, given that -14*k**2 - 1263 + 12*k**2 + 709 - 2446 + 140*k + 6*k**2 = 0.
-50, 15
Factor -1/5*g**2 + 6/5*g - 1.
-(g - 5)*(g - 1)/5
Let h(i) be the second derivative of -16384/15*i**2 - 2*i - 1/315*i**7 + 4/45*i**6 - 160/9*i**4 - 83 + 8/15*i**5 - 2048/9*i**3. Solve h(t) = 0 for t.
-4, 16
Let k(r) be the second derivative of -r**6/40 - 123*r**5/80 - 5*r**4/2 + 1868*r. Solve k(f) = 0 for f.
-40, -1, 0
Let o = 46570 - 46568. Suppose 2 + 11 = 2*h - 5*f, -3*f = 2*h - 5. What is z in 6/11*z - 12/11*z**o + 6/11 + 6/11*z**5 + 6/11*z**h - 12/11*z**3 = 0?
-1, 1
Suppose -189 + 173 = 8*i. Let v be 9 + (-34)/51*(-15)/i. Factor -3/4*f**5 + 15/2*f**2 - 15/4*f - 15/2*f**3 + 15/4*f**v + 3/4.
-3*(f - 1)**5/4
Let v = -274510 + 274513. Factor a**2 - 4 + 2*a - 1/2*a**v.
-(a - 2)**2*(a + 2)/2
Let s = -969/205 + 202/41. Let r(q) be the first derivative of -21 - 1/15*q**3 + 0*q + s*q**2 - 1/20*q**4. Factor r(l).
-l*(l - 1)*(l + 2)/5
Let t(d) be the first derivative of 9/7*d**2 - 8/7*d - 4/7*d**3 + 1/14*d**4 - 112. Suppose t(j) = 0. What is j?
1, 4
Let m be (-1 + 7 + 1924/(-312))*(32/(-3))/8. Factor 4/9*q - 2/3 + m*q**2.
2*(q - 1)*(q + 3)/9
Suppose -5*a = -z - 78, -3*z = -2 - 4. Let c be a - 12 - 2/1. Let -5*g**2 + 4*g**4 + 0*g**2 + 9*g**c - 8*g**3 = 0. What is g?
0, 1
Suppose 4*i - 16 = 2*m, 4*m - 5 = -2*i + 13. Factor 4*u**2 + 9*u**2 - 5 + 6*u**2 - 14*u**m.
5*(u - 1)*(u + 1)
Let x = 128/1753 - -1369/5259. What is z in 4 - x*z**2 + 4/3*z = 0?
-2, 6
Let r(a) = -13*a**4 - 22*a**3 - 17*a**2 + 99*a + 166. Let c(z) = 7*z**4 + 11*z**3 + 8*z**2 - 50*z - 84. Let j(b) = 11*c(b) + 6*r(b). Factor j(f).
-(f - 2)*(f + 2)**2*(f + 9)
Let t(d) be the third derivative of 4/15*d**6 - 8/5*d**5 + 0 - 10*d - 2*d**2 + 16/3*d**4 - 2/105*d**7 - 32/3*d**3. Factor t(y).
-4*(y - 2)**4
Let k(r) be the second derivative of r**6/75 - 129*r**5/50 + 84*r**4/5 - 100*r**3/3 - r + 136. Factor k(c).
2*c*(c - 125)*(c - 2)**2/5
Let j(d) be the first derivative of 1/4*d**2 + 83 + 2/3*d**3 - 1/4*d**4 + 1/12*d**6 - d - 1/5*d**5. Solve j(i) = 0.
-1, 1, 2
Let p(o) = 2*o**2 + 2*o + 2. Let q(m) = -5. Let h be 3/6*(-2 + 0). Let y(n) = -1. Let s(z) = h*q(z) + 6*y(z). Let f(j) = -p(j) - 6*s(j). Factor f(k).
-2*(k - 1)*(k + 2)
Let n be (-3354)/(-390) + 4/(-10)*-1. Let o be n + (2 - (8 + 1)). Factor 3/5*p**4 + 6/5*p**3 + 0 + 3/5*p**o + 0*p.
3*p**2*(p + 1)**2/5
Let u be 122 + (3 - (6 - 2))*1. Factor -28*o**2 - 22*o**3 - 43*o**3 - 16*o - 12*o**4 + u*o**3.
-4*o*(o - 4)*(o - 1)*(3*o + 1)
Let q(r) be the second derivative of 0 - 4*r + 16/7*r**2 + 2/21*r**6 - 52/21*r**3 - 1/147*r**7 - 37/70*r**5 + 32/21*r**4. Solve q(g) = 0.
1, 2, 4
Suppose 0 = 29*j - 36*j + 280. Let z be j/24*(-42)/(-35). What is h in -36/7*h - 27/7*h**3 - 75/7*h**z + 12/7 = 0?
-2, -1, 2/9
Factor -1015*u**3 - 1595*u**3 - 10688 + 178*u**4 - 10600 + 663 + 57*u**4 - 7625*u - 5*u**5 + 10150*u**2.
-5*(u - 33)*(u - 5)**3*(u + 1)
Suppose -35 = -3*a - 14. Let q be (-276)/9*(2 - a/2). Factor -3*k**2 - 81 - 4*k + 0*k + q*k - 66.
-3*(k - 7)**2
Suppose 14*m = -0*m + 367 - 311. Factor 0 + 3/5*a**m + 0*a - 12/5*a**3 + 12/5*a**2.
3*a**2*(a - 2)**2/5
Suppose 3*s = -t + 5, 5*t = 95400*s - 95395*s + 5. Let -10/7*y**3 + 6/7*y**4 + 2/7*y + 2/7*y**t + 0 = 0. Calculate y.
-1/3, 0, 1
Suppose 5*y - 167 = s - 158, -5*y = 10*s - 20. Find p such that 0 + 3/2*p**4 + 0*p - 1/4*p**5 + y*p**2 - 3*p**3 = 0.
0, 2
Let j(r) be the second derivative of r**5/20 + 23*r**4/12 + 107*r**3/6 + 85*r**2/2 - 3063*r. Factor j(f).
(f + 1)*(f + 5)*(f + 17)
Suppose 0 = -3*z - z + 20. Suppose -20 = r - z*r. What is o in -4*o**r + 8*o**4 + 4*o**4 - 8*o**3 + 12 - 16 - 8*o**2 + 12*o = 0?
-1, 1
Let j(p) = 2*p - 1. Let b(n) = 35*n + 2. Let i(t) = b(t) - j(t). Let r(k) = k**2 - 32*k - 2. Let q(c) = -2*i(c) - 3*r(c). Determine u so that q(u) = 0.
0, 10
Factor -1/3*o**2 + 103/3*o + 104/3.
-(o - 104)*(o + 1)/3
Let f(p) be the third derivative of 13*p**4/24 - 179*p**3/6 + 148*p**2. Let h be f(14). Factor 0 + 4/9*x - 4/9*x**h + 2/9*x**4 - 2/9*x**2.
2*x*(x - 2)*(x - 1)*(x + 1)/9
Let p = -211/28 + 58/7. Let c be 264/45 - 80/(-600). Factor -3/2*q + 3/2*q**5 + c*q**3 + 3/2*q**2 - p + 21/4*q**4.
3*(q + 1)**4*(2*q - 1)/4
Factor 212/3*v - 462 - 2/3*v**2.
-2*(v - 99)*(v - 7)/3
Suppose 2/7*l**4 + 16/7*l - 4*l**3 - 8*l**2 + 2/7*l**5 + 64/7 = 0. What is l?
-2, 1, 4
Suppose -5*i = -3*m + 2*m - 1, -3*i = 4*m - 19. Suppose 2*a = m - 0. Find l, given that -16*l + 2 + 0 + 4*l**3 - a = 0.
-2, 0, 2
Let k = 2699/77 + -384/11. Let t(n) be the first derivati