ctor -33/4*a**4 + 423/8*a**3 + 0 + 75/2*a + 3/8*a**5 - 165/2*a**2.
3*a*(a - 10)**2*(a - 1)**2/8
Suppose 31 = 3*h - 38. Suppose -h = -12*t + 13. Determine n, given that -5/4*n - 3/4 + 1/4*n**t - 1/4*n**2 = 0.
-1, 3
Suppose l = 2*v + 148 - 6, -4*l + 613 = v. Let t = l + -149. Solve 0*w**2 - 3/5*w + 2/5 + 1/5*w**t = 0.
-2, 1
Let u(y) = -y**2 + 19*y - 46. Let l be u(16). Factor 2*q**3 - 4*q**3 + 2*q**2 - l*q**4 + 2*q**5 + 4*q**4 - 4*q**4.
2*q**2*(q - 1)**2*(q + 1)
Let o = 18 + -1727/96. Let b(p) be the third derivative of o*p**4 + 1/24*p**3 - 3*p**2 + 0*p + 0 - 1/480*p**6 - 1/240*p**5. Find u such that b(u) = 0.
-1, 1
Solve -178 - 5*z**2 + 33*z + 43 + 51*z + 56*z = 0 for z.
1, 27
Suppose 0 = 7*o - 10*o + 402. Let w be (-63)/(-105) - (o/(-10) + -1). Factor -1/2*f**5 + 9/2*f**4 - 33/2*f + 23*f**2 - w*f**3 + 9/2.
-(f - 3)**2*(f - 1)**3/2
Let c(a) = a**2 + 6*a - 4. Let w be c(1). Let q(p) be the second derivative of 0 + 2/3*p**w + 0*p**2 - p + 1/5*p**5 - 10/9*p**4. Find x, given that q(x) = 0.
0, 1/3, 3
Let v(g) = -g**4 + g**3 - 2*g**2 + 2*g - 1. Let l(i) = -13*i**4 + 71*i**3 - 576*i**2 + 1582*i - 1363. Let p(t) = 2*l(t) - 22*v(t). Factor p(a).
-4*(a - 13)**2*(a - 2)**2
Let m(s) be the third derivative of -5/12*s**4 + 1/24*s**6 + 31*s**2 + 0*s**3 + 1/12*s**5 + 0 + 0*s. Let m(x) = 0. Calculate x.
-2, 0, 1
Let i(u) be the first derivative of u**7/300 + u**6/450 - 7*u**5/300 - u**4/30 - 4*u**3/3 - 6. Let w(k) be the third derivative of i(k). Factor w(y).
2*(y - 1)*(y + 1)*(7*y + 2)/5
Let x be (12 - 9)*4/72. Let c(q) be the first derivative of -6 - 3/4*q**2 - x*q**3 + q + 3/8*q**4 - 1/10*q**5. Suppose c(p) = 0. Calculate p.
-1, 1, 2
Let k(o) = -o**2 - 233*o + 2648. Let f(n) = -15*n**2 - 3030*n + 34425. Let h(q) = -3*f(q) + 40*k(q). Determine c so that h(c) = 0.
23
Let d be -6*63/(-27) - 8. Let w(z) be the first derivative of -d*z + 5 + 3/5*z**5 - 3*z**3 + 15/2*z**2 - 3/4*z**4. Solve w(f) = 0.
-2, 1
Find d, given that 8/19*d**5 - 46/19*d**2 - 60/19*d**3 - 14/19*d**4 - 8/19*d + 0 = 0.
-1, -1/4, 0, 4
Suppose 3*p + 2*h - 2 = h, -3*h = 2*p + 8. Let 2*v**2 + 1 - 2*v - 9*v**2 + 0*v**p - 4*v**3 = 0. Calculate v.
-1, 1/4
Let w(d) be the third derivative of d**5/20 + d**4 - 10*d**3 - 293*d**2. Solve w(r) = 0 for r.
-10, 2
Let z(p) be the third derivative of -p**9/12096 + p**8/4032 + p**7/504 - p**5/15 - p**4/6 + 32*p**2. Let i(s) be the third derivative of z(s). Factor i(j).
-5*j*(j - 2)*(j + 1)
Let n(p) = 7*p**2 + 83*p - 161. Let h(i) = -2*i**2 - 21*i + 41. Let b(c) = -22*h(c) - 6*n(c). Suppose b(j) = 0. Calculate j.
2, 16
Factor 2/5*v**2 + 0 + 0*v - 2/5*v**4 - 2/5*v**5 + 2/5*v**3.
-2*v**2*(v - 1)*(v + 1)**2/5
Factor 5/4*m**4 - 5/2*m + 5/2*m**3 + 15/4 - 5*m**2.
5*(m - 1)**2*(m + 1)*(m + 3)/4
Suppose 2*y = 3*z - 13, 0 = -0*z + 4*z - y - 14. Let k be 65/39 + z/(-18). Determine b, given that k*b**2 + 0 - 3/2*b = 0.
0, 1
Let u be ((-11)/(-2))/(6842/3732). Suppose -3/2*y - 9/4*y**4 + 3/4*y**5 + 3/4*y**u + 0 + 9/4*y**2 = 0. Calculate y.
-1, 0, 1, 2
Factor -36*c**2 + 28 - 78*c - 45 + 2*c**3 - 12 - 11.
2*(c - 20)*(c + 1)**2
Let z be ((-1)/(-4))/((-141)/(-1551)). Let c(k) be the second derivative of k - 3/2*k**2 - z*k**3 - 2*k**4 + 0 - 21/40*k**5. Suppose c(s) = 0. Calculate s.
-1, -2/7
Let u = 613/39 - 187/13. Let o = 13 - 9. Determine c, given that 0*c**3 + 2/3 + 0*c - u*c**2 + 2/3*c**o = 0.
-1, 1
Let f be (-1)/((779/(-57))/(2/(-36))). Let t = f + 62/123. Find s, given that 0 - t*s**2 + 1/4*s + 1/4*s**3 = 0.
0, 1
Suppose -270 = -16*x + 13*x. Let q be 268/x + 2*5/45. Determine i, given that -6/5*i**5 + 8/5*i**4 - 36/5*i**2 - 4/5 + 22/5*i + q*i**3 = 0.
-2, 1/3, 1
Let s(v) be the first derivative of -v**4/2 + 8*v**3/3 + 11*v**2 + 12*v - 117. Factor s(f).
-2*(f - 6)*(f + 1)**2
Let y(i) = -i**3 + 10*i**2 + 11*i + 3. Let p be y(11). Factor 5*j**4 + 2*j**2 - 19 - 3*j**4 + 4*j**p + 19.
2*j**2*(j + 1)**2
Find j, given that 0 - 2/11*j**4 - 226/11*j**2 + 112/11*j + 116/11*j**3 = 0.
0, 1, 56
Let k(s) be the second derivative of 5*s**4/12 + 50*s**3/3 - 5*s - 8. Factor k(q).
5*q*(q + 20)
Suppose -5*y + 37 = 2*z, 4*y - 3*z = 26 - 1. What is g in 12*g**2 + 12 + 10*g - 7 + y - 14*g**2 = 0?
-1, 6
Let a = -39 + 42. Factor t**2 + 6*t**2 + 5*t**a + t**4 + 3*t - 151 + 151.
t*(t + 1)**2*(t + 3)
Let k(m) be the second derivative of -m**6/30 + 19*m**5/40 + 5*m**4/12 - 331*m. Find y, given that k(y) = 0.
-1/2, 0, 10
Let w(n) be the first derivative of n**6/42 - 3*n**4/7 + 16*n**3/21 + 441. Let w(z) = 0. What is z?
-4, 0, 2
Let u(c) = -3*c**2 + 315*c - 258. Let k(b) = b**2 - 90*b + 74. Let s(z) = 18*k(z) + 5*u(z). Find a, given that s(a) = 0.
1, 14
Let w(q) = -q**4 - q**3 - q**2 - 2*q - 1. Let a(u) = -4*u**5 - 7*u**4 + u**3 + 17*u**2 + 18*u + 5. Let d(r) = a(r) + 5*w(r). Find l, given that d(l) = 0.
-2, -1, 0, 1
Suppose -108733*o**2 - 188*o + 108973*o**2 + 40*o - 8 = 0. What is o?
-1/20, 2/3
Let x(s) = -s**3 - 4*s**2 + s + 4. Let j be x(-4). Suppose -3 = 2*c - c + 2*b, j = -c + b + 6. Factor -5*y + y**c + 2*y**2 - 4*y**3 + y**3 + 9*y.
-2*y*(y - 2)*(y + 1)
Suppose -5*q = -0*q - 30. Let y(a) = 4*a**2 + q*a + 3*a + 1 - 2*a + 11*a. Let r(n) = -2*n**2 - 9*n. Let o(s) = 7*r(s) + 4*y(s). Suppose o(x) = 0. What is x?
-4, -1/2
Let a(i) = -i. Let m(p) = 4*p**3 + 13*p**2 + 11*p. Suppose r - y + 16 = 4*r, -4*y + 14 = 2*r. Let w(q) = r*m(q) + 40*a(q). Find f, given that w(f) = 0.
-3, -1/4, 0
Let w be 145/18 - (-8 + 16). Let a(l) be the first derivative of -8/9*l - w*l**4 - 4/9*l**3 - l**2 - 5. Solve a(y) = 0 for y.
-4, -1
Suppose -12 = -4*h + 4. Let b be 3 + 0 + h/4. Solve b*d**5 - 2*d**5 + 3*d**4 - 4*d**5 - d**5 = 0 for d.
0, 1
Let r(j) = 5*j - 3. Let i be r(1). Let 0*m**5 - i*m**5 + 5*m**4 + m**5 - m**3 - 7*m**4 = 0. What is m?
-1, 0
Let m(s) = 2*s**2 - 2*s - 1. Let y be m(-1). Suppose -q - 13 = -4*r, -4*r - y*q = -5*q - 14. Factor 0 + 2/3*h**r - 2/3*h**2 - 4/3*h.
2*h*(h - 2)*(h + 1)/3
Suppose 150*m + 67*m - 26*m = 0. Factor m*k + 0 + 1/5*k**4 + 1/5*k**2 - 2/5*k**3.
k**2*(k - 1)**2/5
Determine f, given that -248/7*f - 1922/7*f**2 - 8/7 = 0.
-2/31
Let v(g) be the third derivative of -g**6/20 + 17*g**5/20 - 4*g**4 + 6*g**3 - 433*g**2. Factor v(z).
-3*(z - 6)*(z - 2)*(2*z - 1)
Suppose -2*j = -2*q - 6, -j + 3 = q + 3*q. Let c be (1/(-15))/(36/(-10) + j). Factor c*d**3 - 4/3*d**2 + 16/3*d - 64/9.
(d - 4)**3/9
Factor 3*m**4 - 480*m**2 + 150*m**3 - 165 + 7*m**4 - 2*m**4 - 3*m**4 + 490*m.
5*(m - 1)**3*(m + 33)
Suppose -44 = 10*c - 9*c. Let m = 44 + c. Factor 0*x**3 + 10/3*x**5 + 0*x**2 + 0 + 4/3*x**4 + m*x.
2*x**4*(5*x + 2)/3
Let t(k) be the second derivative of -k**4/18 - 13*k**3/9 + 14*k**2/3 - k. Find v such that t(v) = 0.
-14, 1
Let t be ((-36)/(-10))/((-2)/(-15)). Let w = 45 - t. Let 4*p**2 + p**4 + w*p**4 + 22*p**3 - p**4 = 0. What is p?
-1, -2/9, 0
Let b(r) be the first derivative of -3*r**5/35 - 15*r**4/28 - 4*r**3/7 - 64. What is u in b(u) = 0?
-4, -1, 0
Let a = -6040 + 6040. Factor 0 + 1/4*b**2 + a*b.
b**2/4
Let w(g) be the third derivative of -g**9/7560 + g**7/1260 + g**4/4 - 11*g**2. Let c(m) be the second derivative of w(m). Solve c(j) = 0 for j.
-1, 0, 1
Let n be (-15)/(-27)*936/260. Find g, given that 2/3 + 2/3*g - 2/3*g**n - 2/3*g**3 = 0.
-1, 1
Let h = -2579/5 - -535. Let p = h + -19. Find o, given that 3/5*o**3 + 1/5*o**5 + 0*o + p*o**2 + 3/5*o**4 + 0 = 0.
-1, 0
Suppose -h - 12 = -2*h - 3*y, -5*y + 28 = -h. Let b be 209/57 - (-2)/h. Factor -3/5*m**3 + 3/5*m**4 - 6/5 + b*m - 9/5*m**2.
3*(m - 1)**3*(m + 2)/5
Let d(t) be the third derivative of t**6/480 + t**5/48 - 2*t**2 + 73*t. Determine k, given that d(k) = 0.
-5, 0
Let p = 1 - -3. Find w, given that 14*w**2 - 2*w**4 - 6*w**2 + p*w**3 + 0*w**3 - w**5 = 0.
-2, 0, 2
Suppose -4*n + r + 9 = 0, 3*n = -0*n - 2*r + 4. Factor -76*f - 9 - 11 - 11 + 7 + 28*f**n.
4*(f - 3)*(7*f + 2)
Let f = -1083 - -5447/5. Find q such that -4*q**2 - 4/5*q**3 - f*q - 16/5 = 0.
-2, -1
Let c be 16/(-32) - 38/20*-11. Let t = c + -20. Factor 6/5*b + t*b**3 + 2/5 + 6/5*b**2.
2*(b + 1)**3/5
Let c(r) = 8*r - 44. Let m be c(14). Solve 34*i - m*i - 2*i**2 - 2*i**2 + 8 + 38*i = 0 for i.
-1, 2
Let v(l) be the third derivative of l**5/240 - 83*l**4/96 + 41*l**3/12 - 13*l**2 + 12*l. Factor v(y).
(y - 82)*(y - 1)/4
Factor -46*p**2 - 21657 + 143*p**2 - 23468 + 950*p - 56*p**2 - 46*p**2.