 = 10*c - 18. Factor 30/7*p + 8/7 - 8/7*p**c.
-2*(p - 4)*(4*p + 1)/7
Let v(q) = 2*q**2 + 15*q + 19. Let n be v(-8). Suppose 33*m - 72 = n*m. Factor m*j**4 + 16*j**2 + 2*j**5 - 4*j + 21*j**3 + 4*j + 3*j**3.
2*j**2*(j + 2)**3
Let x(s) be the second derivative of 27*s**5/5 - 29*s**4/3 + 4*s**3/3 + 550*s. Suppose x(v) = 0. Calculate v.
0, 2/27, 1
Let w(a) be the third derivative of a**5/15 + 125*a**4/2 - 3032*a**3/3 - 26*a**2 + 106*a. Factor w(j).
4*(j - 4)*(j + 379)
Let s(b) be the second derivative of 3/80*b**6 + 1/64*b**4 + 0*b**2 + 3/80*b**5 - 6*b + 0 - 7/3*b**3. Let j(h) be the second derivative of s(h). Factor j(q).
3*(6*q + 1)**2/8
Let w be -5 + 985/125 + -3. Let o = w - -34/75. Determine m, given that -1/3*m**2 + 2/3 + o*m = 0.
-1, 2
Let r be ((-52)/4)/((-3)/3). Factor -261 + 5*q**3 - 42*q**2 - r*q**2 + 169*q + 31*q + 21.
5*(q - 4)**2*(q - 3)
Let s(n) be the second derivative of -n**9/22680 + n**8/1440 - n**7/270 + n**6/135 + 9*n**4/2 - 51*n. Let g(z) be the third derivative of s(z). Factor g(j).
-2*j*(j - 4)*(j - 2)*(j - 1)/3
Let d be (-15)/(-35) - 44/(-28). Let -42*z + d + 69*z**2 - 18 - 12*z**3 + 3 - 2 = 0. What is z?
-1/4, 1, 5
Let y be 18/5*(1900/(-4) + 0). Let k = y + 1711. Let -5/2*d + 2*d**2 + k - 1/2*d**3 = 0. Calculate d.
1, 2
Find k, given that 2*k**2 - 117*k + 5*k**2 - k**2 - 11*k**2 + 1320 - 193*k = 0.
-66, 4
Let j = 2863 + -2862. Let z = 4 - 2. What is u in -72*u**z + 22*u**2 + 3 + j + 10*u = 0?
-1/5, 2/5
Let j(i) be the first derivative of -84*i**5/5 + 979*i**4/4 + 1438*i**3/3 + 401*i**2/2 + 26*i + 12496. Solve j(s) = 0.
-1, -1/4, -2/21, 13
Let y(b) be the first derivative of -b**6/60 - 7*b**5/30 - b**4/3 + 4*b**3 + 87*b**2/2 - 95. Let x(i) be the second derivative of y(i). Factor x(s).
-2*(s - 1)*(s + 2)*(s + 6)
Let d(n) be the first derivative of -8*n**2 + 72*n + 692 + 6*n**2 - n**3 - 636 - 13*n**2. Factor d(o).
-3*(o - 2)*(o + 12)
Suppose -100 = -48*j + 123 + 113. Let w(p) be the second derivative of p**4 + 0*p**3 + 27*p + 17/30*p**6 + 1/14*p**j + 0 + 0*p**2 + 7/5*p**5. Factor w(o).
o**2*(o + 2)*(o + 3)*(3*o + 2)
Suppose 2/3*k**2 - 3*k - 4/3*k**4 + 2/3 + 3*k**3 = 0. Calculate k.
-1, 1/4, 1, 2
Let h(k) be the second derivative of 5/2*k**4 + 116*k + 0 + 10/3*k**3 - 1/6*k**6 - k**5 - 25/2*k**2. Find w, given that h(w) = 0.
-5, -1, 1
Factor 148/19*b**2 + 136*b + 2/19*b**3 - 304.
2*(b - 2)*(b + 38)**2/19
Let h be 12/24*36/35 - ((-4462)/(-161) + -28). Find g such that -156/5 - 148/5*g**2 + h*g**3 - 308/5*g = 0.
-1, 39
Let j = -755 - -803. Let n be j/63 - (-56)/(-588). Determine x, given that 0*x + 2/3*x**3 - n*x**2 + 0 = 0.
0, 1
Let m(i) = -29*i**2 + 1083*i + 2129. Let z(f) = 10*f**2 - 362*f - 710. Let a(d) = 6*m(d) + 17*z(d). What is y in a(y) = 0?
-2, 88
What is k in -1/4*k**5 - 1/4*k**3 - 5/4*k**4 - 2 + 13/4*k**2 + 1/2*k = 0?
-4, -2, -1, 1
Let b(p) be the second derivative of -2*p**2 - 1/15*p**6 + 1/3*p**3 - 75*p - 1/10*p**5 + 1/2*p**4 + 0. Factor b(f).
-2*(f - 1)**2*(f + 1)*(f + 2)
Let g(c) = 21*c**3 - 6*c**2 - 126*c + 576. Let a(u) = 150*u**3 - 40*u**2 - 883*u + 4032. Let n(f) = -6*a(f) + 43*g(f). Factor n(o).
3*(o - 8)*(o - 4)*(o + 6)
Let v(y) be the first derivative of -75*y**4/2 + 1509*y**3/2 - 393*y**2/4 - 90*y - 4254. Find d, given that v(d) = 0.
-4/25, 1/4, 15
Let g(i) = -2*i**2 + 64*i + 972. Let r be g(43). Let b(y) be the second derivative of 5/18*y**4 + 7/9*y**3 + 0 + 0*y**2 - r*y. Suppose b(t) = 0. Calculate t.
-7/5, 0
Let c be ((-605)/(-200) - 3)*(-1)/(-84)*7. Let b(l) be the third derivative of 1/64*l**4 - 1/24*l**3 + 0*l + 0 - c*l**5 - 5*l**2. Solve b(m) = 0 for m.
1, 2
Suppose -164 = 7*j - 332. Solve -27*h + 7*h + 8*h**3 - 2*h**3 - 4*h**3 - 6*h**3 + j*h**2 = 0 for h.
0, 1, 5
Let z = -552 + 563. Let q be -1 + z + (-136)/17. Factor -2/7*v**q + 6/7*v - 6/7*v**3 + 0 + 2/7*v**4.
2*v*(v - 3)*(v - 1)*(v + 1)/7
Suppose -u = -5*j + u + 53, 3*u = -5*j + 58. Let h = j + -75/7. Factor 4*n + 14 + h*n**2.
2*(n + 7)**2/7
Determine u so that 92*u + 22*u**3 + 2*u**4 + 28*u**2 - 594*u - 94*u**2 + 312*u - 104 = 0.
-13, -1, 4
Let c(r) be the first derivative of -r**8/560 - r**7/20 - r**6/2 - 9*r**5/5 + 82*r**3 - 46. Let d(o) be the third derivative of c(o). Factor d(k).
-3*k*(k + 2)*(k + 6)**2
Let c be (-184)/(-32) - (-1)/4. Let t = 9 - c. Let 8*a**4 - t*a**2 - 12*a**4 + 7*a**4 = 0. What is a?
-1, 0, 1
Suppose 864*j + 1138 - 4594 = 0. Determine a, given that 10/3*a**3 - 6*a - 2*a**2 - 2/3*a**j + 0 = 0.
-1, 0, 3
Suppose 0*c**4 + 15*c**2 - 43*c**2 - 20*c**3 - 17*c**2 - 3*c**2 - 2*c**4 = 0. Calculate c.
-6, -4, 0
Suppose -2*m = -0 - 6. Let a(k) = -k**2 + 3*k + 4. Let l be a(m). Factor -25*t**3 - 10*t**2 - 20*t**4 - 13*t**5 + l*t**5 + 4*t**5.
-5*t**2*(t + 1)**2*(t + 2)
Let m = 2336822/2726325 + 4/389475. What is j in 0 + 30/7*j - m*j**2 = 0?
0, 5
Let k(g) be the first derivative of 15*g - 45/2*g**4 + 65 - 5/6*g**6 + 110/3*g**3 + 7*g**5 - 65/2*g**2. Factor k(p).
-5*(p - 3)*(p - 1)**4
Suppose 9*c + 3 = 66. What is g in 12*g - c*g + g**2 + 4*g - 2*g - 3*g + 3 = 0?
-3, -1
Let f(o) be the second derivative of o**5/20 + o**4/6 + o**3/6 + 7*o + 430. Factor f(k).
k*(k + 1)**2
Factor 1518/7 - 1520/7*y + 2/7*y**2.
2*(y - 759)*(y - 1)/7
Let x = -167780 - -503368/3. Solve 2*u**2 + 2/3*u - x = 0 for u.
-7/3, 2
Factor 3926*s - 1595*s + s**3 + 160*s**2 + 540 - 6*s**3 - 1626*s.
-5*(s - 36)*(s + 1)*(s + 3)
Let u = -212699/30 - -7090. Let x(g) be the third derivative of -1/7*g**3 - 1/280*g**6 - u*g**5 - 8*g**2 + 0*g + 0 - 17/168*g**4. Find d, given that x(d) = 0.
-3, -1, -2/3
Find l, given that -1096/3*l**2 + 364*l**3 - 364*l + 1094/3 + 2/3*l**4 = 0.
-547, -1, 1
Let l(s) be the first derivative of -s**7/105 + s**6/90 + s**5/30 - s**3 + 28*s + 97. Let h(g) be the third derivative of l(g). Suppose h(z) = 0. What is z?
-1/2, 0, 1
Let p be 55/(-110) + (-10)/(-4). Factor -28 + 0*w**p - 424*w + 4*w**2 + 400*w.
4*(w - 7)*(w + 1)
Let a(y) = -2*y**3 + y**2. Let c(i) = 17*i**3 - 8*i**2 - i. Let v(b) = b**3 + 7*b**2 + 8*b + 15. Let t be v(-6). Let x(j) = t*c(j) + 24*a(j). Factor x(n).
3*n*(n - 1)*(n + 1)
Let n = -63411 + 253647/4. Determine b, given that -n*b + 3/8*b**2 - 45/8 = 0.
-3, 5
Solve 55*r + 42*r - 312*r - 114 + 98*r - 3*r**2 = 0.
-38, -1
Let l(o) = -7*o**3 + 3*o**2 + 243*o + 233. Let t(m) = -24*m**3 + 6*m**2 + 730*m + 700. Let q(f) = -7*l(f) + 2*t(f). Let q(s) = 0. Calculate s.
-11, -1, 21
Let a(o) be the second derivative of o**6/105 + 3*o**5/70 - o**4/6 - 5*o**3/7 + 18*o**2/7 - 272*o - 1. Factor a(w).
2*(w - 2)*(w - 1)*(w + 3)**2/7
Let b be ((-13)/(-17))/((-26)/7280). Let w = -214 - b. Factor -w*p**2 - 32/17*p - 128/17.
-2*(p + 8)**2/17
Let h = -182095 - -182100. Suppose 3/2*k**4 + 39*k - 87/2*k**2 - 3/2*k**h + 33/2*k**3 - 12 = 0. What is k?
-4, 1, 2
Suppose 3*t + 122 - 133 = -f, t + 15 = -5*f. Let a(h) be the first derivative of 16*h**3 + 256/3*h + 2/15*h**t + 23 + 7/3*h**4 + 160/3*h**2. Factor a(v).
2*(v + 2)*(v + 4)**3/3
Let g(h) be the second derivative of h**4/24 - 9*h**3 + 315*h**2/4 - 5115*h. Suppose g(p) = 0. Calculate p.
3, 105
Let d(v) be the second derivative of -v**5/30 - 6*v**4 - 935*v**3/3 + 6050*v**2/3 + 1638*v. Suppose d(s) = 0. What is s?
-55, 2
Let d(k) be the first derivative of -k**7/168 - k**6/8 - 5*k**5/8 - 35*k**4/24 - k**3 - 14*k + 72. Let u(s) be the third derivative of d(s). Factor u(q).
-5*(q + 1)**2*(q + 7)
Let k = 4424/9886425 + 2/14475. Let n = 853756/10245 - k. Factor 2/3*j**3 - n + 50*j - 10*j**2.
2*(j - 5)**3/3
Let z(h) = 36 + 8*h + 19*h - 33*h**2 + 6*h**3 - 30*h. Let f(w) = w**3 + 1. Let b(u) = 3*f(u) - z(u). Factor b(i).
-3*(i - 11)*(i - 1)*(i + 1)
Let r(f) = f**3 - 3*f**2 - 20*f + 15. Let n be r(6). Suppose -26*a - 24*a - 26*a - 10*a**2 + 71*a - 5*a**n = 0. Calculate a.
-1, 0
Suppose 0 = 66*i - 65*i - 5*x, 0 = 2*i - 4*x. Suppose 0 - 6 = -2*d. Factor 0*z**d + i*z**2 + 0*z + 1/4*z**4 + 0.
z**4/4
Let p(i) = -26*i**2 + 43*i - 2*i**2 - 8 + 20*i + i. Let d(z) = -18*z**2 + 43*z - 5. Let a(h) = -8*d(h) + 5*p(h). What is c in a(c) = 0?
0, 6
Let d = 723 + -721. Let 14 + 203*n + d*n**2 - 2 - 413*n + 200*n = 0. What is n?
2, 3
Let b(m) be the first derivative of -m**6/21 - 47*m**5/7 - 349*m**4/28 - 116*m**3/21 - 2888. Solve b(r) = 0 for r.
-116, -1, -1/2, 0
Let l(i) be the third derivative of 0*i + 198*i**2 - 350/3*i**3 