0.
0, 1
Let s = 3 + -31. Let j = 47 + s. Suppose -13*n**3 + 4*n**3 - 24*n**4 - n**5 - 7*n**2 - 2*n + j*n**4 = 0. What is n?
-2, -1, 0
Let n(x) = -x - 1. Let p(k) be the third derivative of k**5/30 - k**4/12 - 2*k**3/3 - 11*k**2. Let s(v) = -2*n(v) + p(v). Factor s(r).
2*(r - 1)*(r + 1)
Suppose -j - 59 = 4*r, -4*r - 121 - 238 = 5*j. Let x = 153/2 + j. Solve -1/2*g**4 - x*g**3 + 1/2*g**2 + 1/2*g**5 + 0 + g = 0.
-1, 0, 1, 2
Let l be ((-726)/(-4))/((-5376)/(-40)). Let j = l + 5/64. Factor -8/7 - 16/7*w - j*w**2 - 2/7*w**3.
-2*(w + 1)*(w + 2)**2/7
Let a(n) be the third derivative of n**8/13440 - n**6/1440 - 5*n**4/12 - 5*n**2. Let p(x) be the second derivative of a(x). Find i, given that p(i) = 0.
-1, 0, 1
Let k(x) = 75*x**4 + 22*x**3 - 29*x**2 + 8*x - 8. Let d(m) = 50*m**4 + 15*m**3 - 20*m**2 + 5*m - 5. Let j(q) = 8*d(q) - 5*k(q). Determine c so that j(c) = 0.
-1, 0, 3/5
Let p(o) be the second derivative of o**5/5 - o**4 + 4*o**3/3 - 272*o. Factor p(h).
4*h*(h - 2)*(h - 1)
Let q be (2/(-39))/((-852)/5538). Factor -s + 1/3*s**5 + 2/3*s**3 - 2/3*s**2 - q + s**4.
(s - 1)*(s + 1)**4/3
Suppose 0 = x + l, 12 = 2*x - 1029*l + 1028*l. Find c such that 4/23*c**2 + 0 + 6/23*c**3 + 0*c + 2/23*c**x = 0.
-2, -1, 0
Let a(s) = -s**2 + 16*s. Let h(w) = -w**2 + 17*w. Let f(q) = -3*a(q) + 2*h(q). Let o be f(14). Factor 0*j**3 + 2/3*j**4 + o*j + 0 + 0*j**2.
2*j**4/3
Factor 104*x**3 - 54*x**3 + 2500 - 7*x**2 - 46*x**3 + 2700*x + 211*x**2.
4*(x + 1)*(x + 25)**2
Let a be ((-27)/(-15))/((-3)/(-10)). Solve -6*z**3 - 16*z + 43*z + a*z**2 + 6*z**2 - 21*z - 3*z**4 - 9 = 0.
-3, -1, 1
Determine o so that 0 - 5/7*o**3 + 16/7*o - 38/7*o**2 = 0.
-8, 0, 2/5
Let j(w) = w**2 + 11*w + 6. Let c be j(-11). Let r(q) = -q**3 - 2*q**2 - 3*q + 3. Let m be r(0). Factor 1 + 1 + 2*o**m + 6*o + 0*o - c*o**2 - 4.
2*(o - 1)**3
Suppose 2*y - 8*y - 12 = 0. Let u be y - (1*-14)/(3 + -1). Let 2/5*c**u + 0*c + 4/5*c**4 + 0 + 0*c**2 + 2/5*c**3 = 0. Calculate c.
-1, 0
Let w(j) = -j + 3. Let g be w(3). Let r be (2/(-3))/((36/9)/(-12)). Solve -8/9 + g*v + 2/9*v**r = 0.
-2, 2
Factor 8/3*d**3 + 50/9 + 40/3*d + 92/9*d**2 + 2/9*d**4.
2*(d + 1)**2*(d + 5)**2/9
Let n = 355/24 + -25/8. Factor -55/2*h**2 - 160/3*h**4 + n*h - 280/3*h**3 - 5/6.
-5*(h + 1)**2*(8*h - 1)**2/6
Let n be (18 + -9)*((-20)/12)/(-5). Find p such that -2/11*p**2 + 0*p**n + 2/11*p**4 + 0 + 0*p = 0.
-1, 0, 1
Let c = -1368/25 - -9626/175. Find y such that c*y**5 + 0*y**2 + 0*y**3 + 0*y + 0 - 4/7*y**4 = 0.
0, 2
Let i = 4192/3 - 1395. Let q(u) be the first derivative of -2/3*u**5 - i*u**2 + u**4 + 2*u + 10 + 4/9*u**3 + 1/9*u**6. What is r in q(r) = 0?
-1, 1, 3
Factor -60/7*w**3 - 380/7*w**2 + 30/7*w**4 - 162/7 - 2/7*w**5 - 450/7*w.
-2*(w - 9)**2*(w + 1)**3/7
Let q(x) = -4*x**5 + 3*x**4 + 6*x**3 + 2*x**2 - 7*x + 5. Let v(c) = 5*c**5 - 3*c**4 - 7*c**3 - 3*c**2 + 8*c - 6. Let m(y) = -6*q(y) - 5*v(y). Factor m(u).
-u*(u - 1)*(u + 1)**2*(u + 2)
Let d(n) be the second derivative of -n**4/90 + n**3/5 - 8*n**2/15 - 2*n + 122. Factor d(i).
-2*(i - 8)*(i - 1)/15
Let k be 52 - (2/3 - (-64)/(-24)). Determine m so that -600*m**3 - 27*m**5 - 210*m**4 - 8*m - 720*m**2 + 42 + k - 33*m - 199*m = 0.
-2, 2/9
Let s(h) be the first derivative of -1/4*h**2 + 1/72*h**4 - 12*h - 1/18*h**3 - 13. Let y(b) be the first derivative of s(b). Let y(g) = 0. Calculate g.
-1, 3
Let d(o) be the second derivative of o**5/40 - o**4 + 7*o**3 + 196*o**2 - o - 1. Find u, given that d(u) = 0.
-4, 14
Let f(v) be the first derivative of -v**5/120 - v**4/8 - 3*v**3/4 + 7*v**2 - 20. Let z(b) be the second derivative of f(b). Factor z(h).
-(h + 3)**2/2
Let f(a) be the first derivative of 11*a**4/14 - 10*a**3/21 - 6*a**2/7 - 42. Factor f(y).
2*y*(y - 1)*(11*y + 6)/7
Let i be 6 - 9 - 48/(-15). Let f(j) be the first derivative of -6/5*j**2 + 5 + i*j**3 + 0*j. What is p in f(p) = 0?
0, 4
Let q be (-10)/4*9/(-135). Let b = 169/6 - 28. Let -b*g**2 + 0 - q*g = 0. Calculate g.
-1, 0
Let t(l) = 10*l**3 + 20*l**2 - 34*l - 61. Let q(d) = d**3 + 2*d**2 - d - 1. Let s(k) = 7*q(k) - t(k). Factor s(i).
-3*(i - 3)*(i + 2)*(i + 3)
Let f = -9385 - -37545/4. Factor 0 + f*s**3 - 5/2*s - 5/4*s**2.
5*s*(s - 2)*(s + 1)/4
Let a(t) be the third derivative of 0*t + t**2 + 0 - 1/1080*t**6 + 0*t**3 + 0*t**4 - 1/1890*t**7 + 1/270*t**5. Factor a(r).
-r**2*(r - 1)*(r + 2)/9
Let b = 60 + -57. Factor j**b + 0*j**4 - j**5 + j**4 + 5*j**2 - 6*j**2.
-j**2*(j - 1)**2*(j + 1)
Let s(z) be the first derivative of z**3/7 - 12*z**2/7 - 27*z/7 + 53. Solve s(i) = 0.
-1, 9
Let x = 27845 + -9773623/351. Let r = 2/27 - x. What is y in 64/13*y + 48/13*y**2 + 32/13 + r*y**4 + 16/13*y**3 = 0?
-2
Let x = 422 - 301. Let r = -75 + x. Solve -14*p**2 + 21*p + p + r*p**2 + 14*p**3 + 4 = 0.
-1, -2/7
Let f(y) be the first derivative of -3*y**5/5 - 15*y**4/4 - 9*y**3 - 21*y**2/2 - 6*y - 103. Determine z so that f(z) = 0.
-2, -1
Let g(w) be the second derivative of 1/285*w**6 - 3*w - 1/114*w**4 + 0 + 1/190*w**5 - 1/57*w**3 + 0*w**2. Factor g(y).
2*y*(y - 1)*(y + 1)**2/19
Let o(y) be the third derivative of 1/12*y**4 + 15*y**2 + 0*y**5 + 0*y - 1/210*y**7 + 0 + 1/6*y**3 - 1/60*y**6. Factor o(f).
-(f - 1)*(f + 1)**3
Let 0 + 2/3*n**3 + 2*n - 2/3*n**4 + 10/3*n**2 = 0. Calculate n.
-1, 0, 3
Let f = 51 - 49. Suppose 3*g**2 - 7*g + 1 + g**4 - 5*g**3 + 4*g**2 + 1 + 2*g**f = 0. What is g?
1, 2
Suppose 5 = y - 1. Let z be -1 + 1 + y/3. Let 3*x**z + 24*x + 8*x**2 - 8 + 7*x**2 - 14*x**3 = 0. Calculate x.
-1, 2/7, 2
Let o = 46178/3 - 15392. Factor -6*n**3 + o*n**5 + 0*n**2 + 0 + 0*n - 16/3*n**4.
2*n**3*(n - 9)*(n + 1)/3
Let t = 141/76 + -21/19. Solve -3/4*x**2 - 1/4*x**3 - 1/4 - t*x = 0 for x.
-1
Let -16*y - 11*y**3 + 5*y**2 - 5*y**2 + 22*y**3 - 7*y**3 = 0. Calculate y.
-2, 0, 2
What is l in 16/5 + 36/5*l + 28/5*l**2 + 9/5*l**3 + 1/5*l**4 = 0?
-4, -2, -1
Let k be (-3)/5 - ((-540)/25)/6. Suppose -3*i = -4*f, 0 = 3*i - 2*i - k*f. Suppose 0*r**3 - 2/15*r**4 - 2/15*r**5 + i + 0*r + 0*r**2 = 0. Calculate r.
-1, 0
Let a = -13 + -50. Let m be -1 - (113/a - 14/(-63)). Factor 10/7*p + 4/7 - 10/7*p**3 - m*p**2.
-2*(p - 1)*(p + 1)*(5*p + 2)/7
Let p = 24 - 25. Let x(h) = 9*h**4 + 11*h**3 - 2*h**2 + 2*h - 3. Let q(s) = -s**4 + s - 1. Let y(z) = p*x(z) + 3*q(z). Suppose y(f) = 0. Calculate f.
-1, -1/4, 0, 1/3
Solve -64/3*d**2 - 4/9*d**4 + 16/9*d + 256/9 - 76/9*d**3 = 0.
-16, -2, 1
Suppose -x**2 - 929 - 146 + 43 - 34*x - 32*x - 57 = 0. What is x?
-33
Suppose 0 = 4*j + j + c - 103, -4*j = -c - 77. Suppose 7*q - j - 260 = 0. Suppose 120*v**2 + 135*v**4 - 81/2*v**5 + 16/3 - q*v - 180*v**3 = 0. What is v?
2/3
Let g(c) be the third derivative of c**7/105 - 9*c**6/20 - c**5/30 + 9*c**4/4 + 267*c**2. Determine y so that g(y) = 0.
-1, 0, 1, 27
Let y(c) = c**3 - 5*c**2 - 8*c + 2. Let q be y(6). Let t = 12 + q. Factor 0*g + 5*g + 2*g**2 - g - t*g.
2*g*(g + 1)
Factor 4*p**2 + 1/3*p**4 - 8/3*p - 2*p**3 + 0.
p*(p - 2)**3/3
Let w = -35 + 37. Solve -w*p**2 - 4*p**3 - 3*p**3 - 3*p - p**2 + 3*p**4 + 10*p**3 = 0 for p.
-1, 0, 1
Let n(w) = w**3 - w**2 - w. Let q(m) = 5*m**3 - 7*m**2 - 5*m + 4. Suppose 4*c = -5*f + 3*c - 7, 3*c = -f - 7. Let o(r) = f*q(r) + 3*n(r). Factor o(i).
-2*(i - 2)*(i - 1)*(i + 1)
Suppose b + 3*b = 20. Find f such that 22*f**2 - b*f**2 - 8*f**2 - 7*f**2 + 2*f**4 + 4*f**3 = 0.
-1, 0
Let f(p) be the third derivative of p**6/24 + 19*p**5/2 + 1805*p**4/2 + 137180*p**3/3 + 3*p**2 - 1. Factor f(h).
5*(h + 38)**3
Let c(w) be the first derivative of w**4/14 - 2*w**3/7 - 9*w**2/7 - 10*w/7 - 68. Let c(s) = 0. Calculate s.
-1, 5
Solve 144/7 + 152/7*r**2 - 4/7*r**3 - 292/7*r = 0 for r.
1, 36
Let u be (-48)/(3 + -9)*92. Let -v**3 - 15 - 300*v + 30*v**2 + u + 279 = 0. What is v?
10
Let b = -3417/4 + 6837/8. Let 3/8*r**2 - 3/8*r**4 - b*r + 0 + 3/8*r**3 = 0. What is r?
-1, 0, 1
Suppose 18 = 4*y + 5*y. Let k(h) be the second derivative of 1/42*h**4 - 2*h + 2/7*h**y + 0 + 1/7*h**3. Solve k(f) = 0 for f.
-2, -1
Let r = -724 + 728. Let x(o) be the third derivative of 0*o**r + 0 + 0*o - 9*o**2 - 1/20*o**6 + 1/45*o**5 + 0*o**3. Suppose x(b) = 0. Calculate b.
0, 2/9
Let y(z) = -13*z**3 + 88*z**2 - 250*z - 340. Let c(d) = 5*d**3 - 29*d**2 + 83*d + 113. Let b(f) = 11*c(f) + 4*y(f). Let b(w) = 0. What is w?
-13, -1, 3
Let u(a) be the second derivative of -1/5*a**5 + 0 + 9*a + 1/6*a**4 + 0*a**2