+ 4/3*s**3 - 140/3*s**2 = 0.
-1, 37
Let c(l) = -l**3 - 5*l**2 + 21*l - 14. Let v be c(2). Determine x so that v - 2/3*x - 2/9*x**3 - 8/9*x**2 = 0.
-3, -1, 0
Suppose -6 = -4*h + 2*h - 4*w, -3*h = 4*w - 19. Let i = 15 - h. Factor 4*r - 8 + 4*r - r**i + 4 - 3*r**2.
-4*(r - 1)**2
Let c(n) be the second derivative of -n**4/24 - n**3 - 11*n**2/4 - 240*n - 2. Solve c(t) = 0 for t.
-11, -1
Let h = -9083 - -118085/13. Factor -h*z**5 + 0*z + 0*z**3 + 2/13*z**4 + 0*z**2 + 0.
-2*z**4*(3*z - 1)/13
Let d(r) be the first derivative of -2*r**5/15 - r**4/2 - 2*r**3/9 + r**2 + 4*r/3 - 172. Let d(c) = 0. Calculate c.
-2, -1, 1
Let l(h) be the second derivative of h**7/1470 + h**6/180 + h**5/210 - h**4/28 - 7*h**3/2 + 9*h. Let t(s) be the second derivative of l(s). Factor t(o).
2*(o + 1)*(o + 3)*(2*o - 1)/7
Suppose -21*s + 121*s + 6 - 55*s + 72*s**2 - 48*s**3 = 0. What is s?
-1/4, 2
Let l(k) = -11*k**2 - 61*k - 60. Let z(b) = 4*b**2 + 30*b + 30. Let c(f) = 2*l(f) + 5*z(f). Factor c(i).
-2*(i - 15)*(i + 1)
Let l(t) be the second derivative of t**5/10 + 5*t**4/3 + 23*t**3/3 + 14*t**2 + 81*t. What is g in l(g) = 0?
-7, -2, -1
Suppose 2*x - 119 = x. Let 90 - x*z**2 + 15*z - 48*z**2 + 15*z**5 + 10*z**3 - 13*z**2 - 20*z**2 + 70*z**4 = 0. What is z?
-3, -2/3, 1
Let n(d) be the third derivative of d**7/105 - d**6/15 + 4*d**4/3 - 16*d**3/3 + d**2 + 17*d. Let n(o) = 0. Calculate o.
-2, 2
Factor -4/3 - 1/3*f**2 - 4/3*f.
-(f + 2)**2/3
Let f(g) be the second derivative of -3*g**5/5 - 17*g**4/4 - 8*g**3 - 9*g**2/2 - 4*g + 66. Factor f(l).
-3*(l + 1)*(l + 3)*(4*l + 1)
Let f = 1113 - 1109. Factor 4/5*c**4 - 16/5*c + f*c**3 - 1 - 3/5*c**2.
(c - 1)*(c + 5)*(2*c + 1)**2/5
Let n(c) be the second derivative of c**7/840 + 8*c**3/3 - 11*c. Let k(i) be the second derivative of n(i). What is j in k(j) = 0?
0
Let g = 1276 - 1273. Solve 6*x + 4*x**2 + 8/3 + 2/3*x**g = 0.
-4, -1
Let r be 4/21*51 - 2/(-7). Suppose -4*x + r = x. Find v such that v**x + 1/5*v - 2/5 - 1/5*v**3 - 3/5*v**4 = 0.
-1, 2/3, 1
Let i(b) = -b**5 + b**2 - b + 1. Let g(f) = 8*f**5 + 2*f**4 + 3*f**3 - 17*f**2 + 13*f - 9. Let y(j) = -2*g(j) - 18*i(j). Solve y(p) = 0.
-2, 0, 1, 2
Let o(p) be the second derivative of p**5/7 + 11*p**4/7 + 116*p**3/21 + 48*p**2/7 + 16*p. Factor o(g).
4*(g + 2)*(g + 4)*(5*g + 3)/7
Let -8*g**2 - 57*g**2 - 24*g + 39*g + 12*g**3 + 8*g**3 = 0. What is g?
0, 1/4, 3
Suppose 5*b - 2*h - 27 = 0, -4*b + 3*h + 9 = -7. Suppose -15 = -b*t + 2*t. Solve -2*o**2 + 4*o + 2*o**3 - 1 + 3*o**4 - t*o - 4*o + o**5 = 0 for o.
-1, 1
Let f = 28 - 27. Suppose -k + m - f + 2 = 0, 0 = -4*m + 4. Factor 3/2 + 5/2*q**k - 7/2*q - 1/2*q**3.
-(q - 3)*(q - 1)**2/2
Let l(y) be the first derivative of -y**5/30 + y**4/24 - 3*y**2/2 + 12*y - 2. Let h(o) be the second derivative of l(o). Find v such that h(v) = 0.
0, 1/2
Let q(d) be the third derivative of 5*d**8/1008 + d**7/63 - d**6/12 - 2*d**5/9 + 25*d**4/72 + 5*d**3/3 + 3*d**2 - 2. Find y, given that q(y) = 0.
-3, -1, 1, 2
Let v be (-310554)/(-8520) + (-2 - 46/(-20)). Factor 3 - v*q**3 - 24*q + 231/4*q**2.
-3*(q - 1)*(7*q - 2)**2/4
Let a(b) be the third derivative of -b**8/96 - b**7/35 + 2*b**6/15 + 2*b**5/5 - b**4/3 + 18*b**2 - 6. Solve a(y) = 0 for y.
-2, 0, 2/7, 2
Suppose r + 9 = 2*k - 1, 0 = 3*k - 9. Let d be -10*1/170*r. Factor -d + 2/17*h + 12/17*h**2.
2*(2*h - 1)*(3*h + 2)/17
Let w(s) be the third derivative of s**7/1050 - s**5/30 + 3*s**3/10 - 2*s**2 + s. What is x in w(x) = 0?
-3, -1, 1, 3
Let c = -48 + 52. Let 7*o**2 + 54*o**4 + o**2 - 4 + 2 + c*o**2 - 6*o + 52*o**3 + 18*o**5 = 0. What is o?
-1, -1/3, 1/3
Suppose 4*n = 27*n - 69. Let u(v) be the third derivative of 0*v + 0 + n*v**2 - 1/6*v**4 - 1/20*v**5 + 2/3*v**3. Find j, given that u(j) = 0.
-2, 2/3
Let f = -1731/5 + 347. Determine k, given that -2/5*k - f*k**2 + 4/5 + 2/5*k**3 = 0.
-1, 1, 2
Let m be (-4 - (-96)/21)/(2/7). Let 0*q**m - 9/4*q - 3/2 + 3/4*q**3 = 0. Calculate q.
-1, 2
Let a = -5355 + 5358. Factor -6/5*m + 0*m**2 - 4/5 + 2/5*m**a.
2*(m - 2)*(m + 1)**2/5
Factor -59/5*i**4 + 0*i + 0*i**2 + 2/5*i**3 + 0 + 159/5*i**5.
i**3*(3*i - 1)*(53*i - 2)/5
Let c = 891/142 - 7/284. Factor -1/4*t**2 - c + 5/2*t.
-(t - 5)**2/4
Let x(z) = -3*z + 2. Let m(i) = -3*i**2 - 84*i - 164. Let n(p) = -m(p) - x(p). Factor n(u).
3*(u + 2)*(u + 27)
Let s(y) = -y**2 - 12*y + 3. Let g be s(-12). Let f = 7 - 7. Let -55*w**3 + f*w**2 + 3*w**2 + 52*w**g = 0. Calculate w.
0, 1
Let i(m) be the third derivative of 1/42*m**4 + 1/140*m**6 + 0 + 0*m + 26*m**2 + 0*m**3 - 1/30*m**5. Let i(k) = 0. Calculate k.
0, 1/3, 2
What is l in -2048 - 1/8*l**3 - 2080*l - 257/8*l**2 = 0?
-128, -1
Let x(u) be the third derivative of u**8/2016 + u**7/630 - 7*u**6/720 + u**5/90 - 214*u**2. Determine t, given that x(t) = 0.
-4, 0, 1
Suppose -4*a + 20 = 0, -4*a + 26 = 3*m - 0*a. Factor -82*x**3 + 70*x**3 - 4 + 4*x**m + 16*x - 4*x.
-4*(x - 1)*(x + 1)*(3*x - 1)
Let m(y) be the second derivative of -3/28*y**5 - 1/70*y**6 + 17*y - 1/2*y**3 - 9/28*y**4 + 0 - 3/7*y**2. Find n such that m(n) = 0.
-2, -1
Suppose -4*i = -4*p + 68, -3*i + 54 = 3*p - 5*i. Let -4*o**3 + 3*o**5 - 4*o**2 - 24*o**5 + p*o**4 + 9*o**5 = 0. What is o?
-1/3, 0, 1
Let a(r) be the third derivative of 12*r**2 - 1/24*r**6 + 0*r - 5/3*r**3 + 0*r**5 + 0 + 5/8*r**4. Determine y, given that a(y) = 0.
-2, 1
Factor 16/9 + 2/9*o**2 - 2/9*o**3 + 20/9*o.
-2*(o - 4)*(o + 1)*(o + 2)/9
Let 57*a**2 + 27 + 9 + 4*a**3 - 29*a**2 - 68*a = 0. What is a?
-9, 1
Suppose -2*l - 23 = -3*n - l, -2*n = 3*l - 19. Let p be n/(-12)*-3*2. Let p*j**2 + 0 - j**2 + 6 + 9*j = 0. Calculate j.
-2, -1
Let r(p) be the second derivative of -2*p**7/63 + 4*p**6/45 + 8*p**5/15 - 2*p**4 + 2*p**3 - 402*p. Solve r(i) = 0.
-3, 0, 1, 3
Let o be (-2 - (-2 - 1)) + 2 + 6. Suppose 16 = 3*y - 2*q, 4*y + o = -4*q - 3. Determine b, given that -2/3*b**y + 0*b + b**3 + 0 - 1/3*b**4 = 0.
0, 1, 2
Let f(m) be the second derivative of 1/3*m**4 + 2*m**3 + 2/15*m**6 + 0 - 10*m - 4*m**2 - 3/5*m**5. Factor f(u).
4*(u - 2)*(u - 1)**2*(u + 1)
Suppose -d - 4*m = -3*d - 12, m = 5. Suppose -n + d = n. Factor 0 + 4/7*r - 2/7*r**n.
-2*r*(r - 2)/7
Let j(x) = 3*x**2 + 9*x. Let z(p) = 6*p**2 + 19*p. Let d = 21 - 11. Let s = d - 13. Let t(c) = s*z(c) + 7*j(c). Let t(q) = 0. What is q?
-2, 0
Let n(z) = -8*z**3 - 92*z**2 + 188*z + 4. Let p(l) = -7*l**3 - 91*l**2 + 189*l + 3. Let r(j) = 3*n(j) - 4*p(j). Factor r(a).
4*a*(a - 2)*(a + 24)
Let t be 24/(-10)*15/(-6). Suppose -2*r + 2 = -t. Solve c**5 - 4*c**4 + c**4 + 2*c**4 + 2*c**r = 0 for c.
-1, 0
Let v(g) be the third derivative of 0*g**3 + 22*g**2 + 1/315*g**7 + 1/36*g**6 + 1/12*g**4 + 2 + 7/90*g**5 + 0*g. Solve v(p) = 0 for p.
-3, -1, 0
Let l(o) be the second derivative of -14*o + 1/135*o**6 - o**3 + 1/2*o**4 + 0 + 0*o**2 - 1/10*o**5. Let l(w) = 0. What is w?
0, 3
Let o(i) be the second derivative of i**7/105 - 14*i**6/75 + 32*i**5/25 - 16*i**4/5 - 97*i + 1. Suppose o(z) = 0. What is z?
0, 4, 6
Let c(k) be the first derivative of 2*k**5 + 15*k**4 + 45*k**3 + 135*k**2/2 + 2*k - 18. Let q(z) be the first derivative of c(z). Factor q(h).
5*(2*h + 3)**3
Let z = 1507 + -1505. Find o, given that -3/4*o**4 - 3/2*o - 9/4 + 3/2*o**3 + 3*o**z = 0.
-1, 1, 3
Let d(q) be the third derivative of -q**5/15 + q**4/3 + 10*q**3 - 38*q**2. Solve d(v) = 0 for v.
-3, 5
Let x(f) be the second derivative of -3*f**5/25 + 332*f**4/15 - 3718*f**3/3 + 2420*f**2 + 116*f. Find i such that x(i) = 0.
2/3, 55
Factor 4*p + 70*p**2 - 12*p + 9 - 37*p**2 - 34*p**2.
-(p - 1)*(p + 9)
Determine k so that -60 + 5*k**2 - 5*k**3 - 44*k - 2*k + 43*k + 43*k = 0.
-3, 2
Let y(j) be the second derivative of -3*j**5/25 + 23*j**4/30 - 14*j**3/15 - 3*j**2/5 - 82*j - 5. Factor y(g).
-2*(g - 3)*(g - 1)*(6*g + 1)/5
Suppose -3*f = -4*f + 4. Factor 5*b**2 + 1 + 5*b**f - 13 + 2 - 15*b + 15*b**3.
5*(b - 1)*(b + 1)**2*(b + 2)
Let k(f) be the first derivative of 0*f**5 + 0*f**2 - 1/6*f**6 + 0*f**3 + 0*f + 1/4*f**4 - 25. Factor k(w).
-w**3*(w - 1)*(w + 1)
Suppose -9/5*n + 3/5*n**2 + 6/5 = 0. Calculate n.
1, 2
Let l(d) be the second derivative of -6*d**2 + 57/20*d**5 + 0 + 6*d - 25/4*d**4 + 8*d**3 - 7/10*d**6 + 1/14*d**7. Factor l(k).
3*(k - 2)**2*(k - 1)**3
Suppose -4*u + 24 - 8 = 0. Find w such that 20*w - 8*w**4 - 5*w**5 + 28*w**u - 15*w**3 - 28*w**2 + 8*w**2 = 0.
-1, 0, 1, 2
Let 