ative of 0*v**4 - v - 1/80*v**5 + 1/8*v**3 - 1/4*v**2 + 0. Solve p(f) = 0 for f.
-2, 1
Let f(y) = -y**2 - 8*y + 5. Let h be f(-9). Let v = h - -4. Factor -3/5*r**2 + v + 6/5*r.
-3*r*(r - 2)/5
Let g(n) = -2*n**2 - 1. Let z(h) = h - 9*h + 3 + 5*h**2 + 7*h. Let d(u) = 14*g(u) + 6*z(u). Factor d(w).
2*(w - 2)*(w - 1)
Let x be (-1)/((5/2)/(-5)). Let 32*h - 9*h**x - h**3 - 26*h + 4*h**3 = 0. What is h?
0, 1, 2
Let x(f) be the third derivative of 1/2*f**4 + 0*f + 2*f**3 + 0 + 48*f**2 + 1/20*f**5. Factor x(t).
3*(t + 2)**2
Let x(u) be the second derivative of u**7/16380 - u**6/585 + 4*u**5/195 + 29*u**4/12 + 30*u. Let i(q) be the third derivative of x(q). Factor i(a).
2*(a - 4)**2/13
Let p(y) = y**3 - 12*y**2 + 2*y - 22. Let b be p(12). Determine i, given that -2*i**5 - 5*i**3 - 62*i**b + 62*i**2 - 3*i**5 + 10*i**4 = 0.
0, 1
Solve -80*y**4 - 5*y**5 - 1390*y**2 - 485*y**3 - 226 - 774 - 487*y - 1413*y = 0.
-5, -2
Suppose 4*j - 24 = 4*p, -2*j = -0*j - p - 10. Factor 4*b**5 - 5*b**j - 28*b**2 + 6*b + 5*b - 3*b - 15*b**4 + 36*b**3.
4*b*(b - 2)*(b - 1)**3
Let p be ((-3)/2)/(-3)*13*14/273. What is f in 4/3 + 4/3*f + p*f**2 = 0?
-2
Let l(x) be the second derivative of x**4/72 + x**3/9 - 5*x**2/12 + 68*x. Find g, given that l(g) = 0.
-5, 1
Let o be (-5 - -9) + -1 + (0 - -3). Factor -2*f**4 + 37 + 2*f - 70 + 29 + o*f**2 - 2*f**3.
-2*(f - 1)**2*(f + 1)*(f + 2)
Factor -3*b**2 + 0 - 1/2*b**4 - 7/2*b**3 + 0*b.
-b**2*(b + 1)*(b + 6)/2
Let s(p) be the third derivative of p**8/6720 - p**7/1260 + p**6/540 + 11*p**5/30 - 20*p**2. Let m(v) be the third derivative of s(v). Let m(t) = 0. What is t?
2/3
Let q = 19526 - 19522. Determine w, given that 2/7*w**q + 2/7*w**2 - 8/7*w**3 + 0 + 12/7*w = 0.
-1, 0, 2, 3
Let l = 39 - 16. Find k such that 54*k**2 + 14*k**5 - 4*k**4 + 3*k + 54*k**3 - 3 - 6 + 7*k**4 - l*k**5 = 0.
-1, 1/3, 3
Let c(f) = f**3 - 11*f**2 + 7*f - 8. Let l be c(10). Let u = l - -38. Factor -1/6*h + u + 1/6*h**3 + 0*h**2.
h*(h - 1)*(h + 1)/6
Let n(p) = p. Suppose 0 = -0*w - w - 1. Let q(f) = -3*f**4 - 3*f**3 + 9*f**2 + f - 6. Let i(l) = w*q(l) - 2*n(l). Determine o so that i(o) = 0.
-2, -1, 1
Let c(w) = -3*w**2 - 11*w + 11*w. Let h(r) = -r**2. Let d be (-44)/(-36) - 8/36. Let a(i) = d*h(i) - c(i). Factor a(b).
2*b**2
Let p(t) be the first derivative of -21*t**5/5 - t**4/4 + 2*t**3/3 + 82. Let p(s) = 0. What is s?
-1/3, 0, 2/7
Determine a so that -6*a**3 + 3 - 9/4*a**2 + 9/4*a**4 + 9*a = 0.
-1, -1/3, 2
Factor 1343*g**4 - 199*g**5 + 1067*g**4 + 224*g**5 + 327680*g + 77760*g**3 + 849920*g**2.
5*g*(g + 32)**3*(5*g + 2)
Suppose -4*g = -q + g - 3, -2*q - 1 = -5*g. Suppose 5 = -u + 5*s - 2, -q = -2*u + 2*s. Find z such that 0*z**u - 2/7*z**4 + 2/7*z**2 + 0*z + 0 = 0.
-1, 0, 1
Factor -2*n**2 + 26*n - 2*n - 36 - 8*n**2 + 7*n**2.
-3*(n - 6)*(n - 2)
Let u(q) be the first derivative of -5*q**4/16 + 17*q**3/12 - 3*q**2/4 + 123. Factor u(f).
-f*(f - 3)*(5*f - 2)/4
Let j(g) = -11*g**2 + 27*g + 8. Let f(y) = 12 + 1 - 53 - 134*y + 56*y**2. Let r be -2*2*3/(-4). Let u(b) = r*f(b) + 14*j(b). Solve u(v) = 0 for v.
-2/7, 2
Let z(b) = b**2 + 2*b - 1. Let k be z(-3). Factor -7*i**2 + 3*i + 0*i**k - 2*i**2 + 6 - 3*i**3 + 3*i**2.
-3*(i - 1)*(i + 1)*(i + 2)
Let x(r) be the second derivative of 7*r**5/300 + r**4/60 - 43*r**2/2 + 11*r - 1. Let m(t) be the first derivative of x(t). Solve m(a) = 0.
-2/7, 0
Let g be (-1)/30*-57 - (-18)/30. Factor g*i - 5/4*i**2 - 5/4.
-5*(i - 1)**2/4
Let v be (-128)/(-21)*237/158. Factor 1/7*w**3 + 0 + v*w - 16/7*w**2.
w*(w - 8)**2/7
Let c be (-6)/(-9)*3 - 1. Let x(j) = 1 - 15*j - c + 24 + 6*j**2. Let t(q) = 3*q**2 - 8*q + 12. Let b(o) = 9*t(o) - 4*x(o). Determine v so that b(v) = 0.
2
Suppose 3*m + g = 8, 2*m - 4*g - 408 = -412. Let q(s) be the third derivative of 1/3*s**3 + 0 + 1/40*s**5 + 1/480*s**6 + 0*s - 3*s**m + 1/8*s**4. Factor q(a).
(a + 2)**3/4
Let h(c) = -c**5 + c + 1. Let v(j) = 33*j**3 + 3*j**5 - 9*j**2 + 6 - 5*j**4 + 5*j - 24*j**4 - 6*j**2 + 3*j. Let u(g) = -6*h(g) + v(g). Solve u(d) = 0.
0, 2/9, 1
Suppose 84 + 171/2*u**2 - 339/2*u + 3/2*u**3 - 3/2*u**4 = 0. Calculate u.
-8, 1, 7
Let g(s) be the second derivative of 0 + 14*s - 1/3*s**4 + 0*s**2 + 7/10*s**5 + 0*s**3 + 4/15*s**6. Solve g(w) = 0.
-2, 0, 1/4
Let d(y) = -22*y**2 - 12*y. Let x(a) be the second derivative of 2/3*a**3 + 0*a**2 - a + 0 + 7/12*a**4. Let g(r) = 5*d(r) + 16*x(r). Factor g(p).
2*p*(p + 2)
Let s(v) be the third derivative of v**8/40320 - v**7/10080 + 4*v**5/15 - 12*v**2. Let g(a) be the third derivative of s(a). Solve g(d) = 0.
0, 1
Suppose -26 - 3 = 3*w - 41. Factor 4/3*n**5 + 0*n - w*n**3 - 8/3*n**2 + 0 + 0*n**4.
4*n**2*(n - 2)*(n + 1)**2/3
Factor 17 + 315*t**2 + 490*t - 25*t**3 - 10 - 44*t + 34*t + 133.
-5*(t - 14)*(t + 1)*(5*t + 2)
Let c be (-1)/2*71/(-213). Let n(f) be the first derivative of -2 - 1/15*f**5 + 0*f**2 + 1/18*f**6 - c*f**4 + 0*f**3 + 0*f. Factor n(j).
j**3*(j - 2)*(j + 1)/3
Let o(l) be the second derivative of l**4/16 - 9*l**3/4 + 51*l**2/8 - 397*l. Determine m so that o(m) = 0.
1, 17
Suppose 43*x - 6*x - 15*x = -36*x. What is b in -2/5*b - 2/5*b**2 + x = 0?
-1, 0
Let f(k) be the first derivative of -32*k + 4/3*k**3 - 4*k**2 + 19. Factor f(v).
4*(v - 4)*(v + 2)
Suppose 699*m**2 - 249*m + 130 - 8 - 280*m - 5*m**4 - 4 - 283*m**3 = 0. Calculate m.
-59, 2/5, 1
Let d be 4/(-1) + (28/(-24))/((-4)/24). Solve -49/6*h**4 + 53/6*h**2 + 0*h**d + 0*h - 2/3 = 0 for h.
-1, -2/7, 2/7, 1
Determine x, given that -1438/5*x**3 + 0 - 1112/5*x**2 - 56*x - 588/5*x**4 + 18/5*x**5 = 0.
-1, -2/3, 0, 35
What is m in -2/9*m**3 - 56/9*m + 22/9*m**2 + 0 = 0?
0, 4, 7
Let m be ((-2)/(-15) - 4575/9000)/(-3). Let 0 - 3/8*r**3 + 0*r**2 + 1/2*r + m*r**4 = 0. What is r?
-1, 0, 2
Let t(s) be the first derivative of 0*s**2 - 4 + 1/10*s**4 + 2/15*s**3 + 0*s. Find b such that t(b) = 0.
-1, 0
Let l(y) be the second derivative of -y**6/45 - 11*y**5/60 - 17*y**4/36 - y**3/3 + 3*y + 61. Determine o, given that l(o) = 0.
-3, -2, -1/2, 0
Determine g so that 612/5*g + 1/5*g**4 + 253/5*g**2 - 34/5*g**3 + 324/5 = 0.
-1, 18
Suppose 1/4*w**5 - 89/2*w**2 + 177/4*w - 63/4 + 39/2*w**3 - 15/4*w**4 = 0. What is w?
1, 3, 7
Let w(d) = -d**2 + 7*d - 12. Let i be w(4). Suppose 2*v - 8*v + 12 = i. Find y, given that 2*y + 5/2*y**4 + 0 - 4*y**v - 7/2*y**3 = 0.
-1, 0, 2/5, 2
What is k in -26*k**4 + 76*k + 164*k**3 - 8389 + 8401 + 82*k**4 + 172*k**2 = 0?
-1, -1/2, -3/7
Let f(s) be the first derivative of -1/3*s + 2*s**2 - 47 - 10/3*s**3 + 7/3*s**4 - 3/5*s**5. Find z, given that f(z) = 0.
1/9, 1
Factor 5/4*i**3 - 1/4*i - 4*i**2 + 3.
(i - 3)*(i - 1)*(5*i + 4)/4
Let k be -4 + 82 + -2 + -2. Factor -39*x + k*x - 100*x**2 + 85*x - 36.
-4*(5*x - 3)**2
Determine d so that 5/2*d**3 - d**2 + 4 - 11/2*d = 0.
-8/5, 1
Let f(p) = 4*p - 7. Let i be f(2). Suppose 5 - i = w. Factor -2*t + 9*t**3 - 2*t**5 - 3*t - t**3 - t - w + 4*t**2.
-2*(t - 2)*(t - 1)*(t + 1)**3
Let x(y) be the third derivative of -y**8/1848 - y**7/231 + 7*y**6/330 - y**5/165 - 13*y**4/132 + 7*y**3/33 - 4*y**2 - 12*y. Determine d so that x(d) = 0.
-7, -1, 1
Let r be ((-5)/3)/((-18)/(-162)). Let x be (-7 - -4 - r/6)*0. Suppose 1/6*s**3 - s**2 + 3/2*s + x = 0. Calculate s.
0, 3
Suppose 0 = -2*r - 5*u + 3 - 0, 2*u + 10 = 2*r. Suppose 11*k - 8*k**2 + 0*k**4 + 8*k**r + 5*k**5 - k**5 - 15*k = 0. Calculate k.
-1, 0, 1
Let z(s) be the second derivative of s**6/120 - s**5/80 - 50*s. Factor z(i).
i**3*(i - 1)/4
Let y(c) be the second derivative of -c**4/4 - 4*c**3 - 20*c + 3. Let j be y(-8). Determine d so that j*d + 1/5*d**2 + 1/5*d**5 - 1/5*d**3 + 0 - 1/5*d**4 = 0.
-1, 0, 1
Let t(i) be the second derivative of i**4/20 - 9*i**3/10 + 6*i**2 + 543*i. Factor t(h).
3*(h - 5)*(h - 4)/5
Determine s, given that 20/7*s + 0 + 16/7*s**2 - 4/7*s**3 = 0.
-1, 0, 5
Let f be (-2*5/(-60))/((-4)/(-8)). Let o(v) be the second derivative of 1/12*v**4 + 1/2*v**2 + 6*v - f*v**3 + 0. Let o(m) = 0. What is m?
1
Let d = -80928/77 - -1051. Let m = d - -159/385. Factor 8/5*g - 6/5 - m*g**2.
-2*(g - 3)*(g - 1)/5
Let b(z) be the first derivative of -z**4/30 - 16*z**3/45 + 4*z**2/15 + 64*z/15 - 483. Factor b(n).
-2*(n - 2)*(n + 2)*(n + 8)/15
Factor 2*a**2 + 219 + 5*a**2 - 222*a - 2*a**2 - 8*a**2 + 6*a**2.
3*(a - 73)*(a - 1)
Let g(r) be the second derivative of 20*r - 1/21*r**3 + 0 - 1/42*r**4 + 6/7*r*