4 + 11979*a**3/16 - 68*a**2. Factor c(g).
(g + 33)**3/8
Suppose 0 = -172*c + 462 - 118. Find s, given that 5/2*s**c - 3/2*s + 0 = 0.
0, 3/5
Let o be -2 - (-3 + 3)*1 - -8. Let u(n) = n - 1. Let f(j) = j**2 - 9*j + 8. Let i(h) = o*u(h) + f(h). What is x in i(x) = 0?
1, 2
Let d(n) be the third derivative of n**6/240 - n**5/5 + 59*n**4/48 + 7*n**3 - 3*n**2 - 7*n. Let d(w) = 0. What is w?
-1, 4, 21
Let r(t) be the first derivative of -13 - 1/6*t**3 + 3/2*t - 1/2*t**2. Find d, given that r(d) = 0.
-3, 1
Solve 0 + 1/3*s**5 - 1/3*s**4 + 2/3*s + 1/3*s**2 - s**3 = 0.
-1, 0, 1, 2
Let a(b) be the third derivative of b**6/150 - 7*b**5/25 - b**4/30 + 14*b**3/5 - 676*b**2. Suppose a(s) = 0. Calculate s.
-1, 1, 21
Let j(b) be the first derivative of -3*b**4/8 + 38*b**3/3 + 53*b**2/4 - 13*b - 323. Suppose j(a) = 0. What is a?
-1, 1/3, 26
Solve 1 - 3*x**4 - 3468*x + 62*x**2 - 207*x**3 - 3734*x**2 - 1 = 0.
-34, -1, 0
Let p(w) be the third derivative of w**6/80 - w**5/20 - w**4/16 + w**3/2 + 55*w**2 + 1. Let p(b) = 0. What is b?
-1, 1, 2
Let b(p) be the second derivative of -p**5/110 - p**4/33 + p**3/11 - 2*p + 15. What is n in b(n) = 0?
-3, 0, 1
Let k = 13 + -9. Let a be (2/k)/(11/66). Factor 0*h + 2/3*h**a + 2/3*h**2 + 0.
2*h**2*(h + 1)/3
Factor 7/2*n**3 + 1/2*n**4 + 0 + 4*n + 7*n**2.
n*(n + 1)*(n + 2)*(n + 4)/2
Let v(a) = -a**2 + 2. Let i be v(0). Factor 18 + 13*w**2 + 5*w**2 - 6*w**i - 30*w - 2*w**3 + 2*w**2.
-2*(w - 3)**2*(w - 1)
Let h(v) be the second derivative of v**7/112 + 59*v**6/240 + 7*v**5/32 - 59*v**4/96 - 19*v**3/24 - 124*v. Determine f so that h(f) = 0.
-19, -1, -2/3, 0, 1
What is p in -33*p**5 + 43*p**5 - 18*p**5 + 32*p**2 + 6*p**3 - 8*p - 22*p**4 = 0?
-2, 0, 1/4, 1
Let l(w) be the third derivative of w**7/315 + w**6/9 + 59*w**5/45 + 5*w**4 + 9*w**3 - 10*w**2 - 1. Suppose l(i) = 0. Calculate i.
-9, -1
Let u(l) be the first derivative of 4*l**5/25 + 5*l**4/4 - 11*l**3/5 - 5*l**2/2 + 29*l/5 + 304. What is z in u(z) = 0?
-29/4, -1, 1
Let u(h) be the third derivative of -h**7/70 - h**6/120 + 2*h**5/15 - h**4/6 - 104*h**2. Factor u(v).
-v*(v - 1)*(v + 2)*(3*v - 2)
Let r be 8 - (-71)/(-6) - -4. Let t(h) be the first derivative of 1/3*h**2 + 2/3*h - 2/9*h**3 - r*h**4 + 1. Determine x so that t(x) = 0.
-1, 1
Suppose -2*d - 5 - 1 = 0. Let s(i) = 4*i**3 - 10*i**2. Let u(a) = -4*a**3 + 9*a**2. Let c(f) = d*s(f) - 2*u(f). Factor c(w).
-4*w**2*(w - 3)
Suppose -a = 5*m - 27, -2*a + 4 = -m + 5. What is t in -2/11*t + 0 - 2/11*t**a = 0?
-1, 0
Let z(r) = r**4 + r**3 + r**2 - 2. Let a(o) = -12*o**4 + 8*o**3 - 58*o**2 + 32*o + 20. Let d(y) = -a(y) - 10*z(y). Find n such that d(n) = 0.
0, 1, 4
Let l(d) be the third derivative of -d**8/112 + d**7/7 + 3*d**6/5 + 4*d**2 - 7. Find v, given that l(v) = 0.
-2, 0, 12
Let -104*n**2 - 3*n**5 - 19*n**3 + 16*n**3 - 30*n**3 - 18*n**4 + 86*n**2 = 0. What is n?
-3, -2, -1, 0
Let q(l) be the first derivative of -1/25*l**5 - 10 + 0*l**2 - 3/20*l**4 + 0*l**3 + 0*l. Suppose q(i) = 0. What is i?
-3, 0
Let h(b) = -228*b - 1. Let u be h(-2). Let w be (1 - 0 - 3) + u/175. Solve 6/5*d - w*d**2 - 3/5 = 0 for d.
1
Let k = 8878/3 + -2909. Let j = k + -50. What is a in -j*a + 0 + 1/3*a**2 = 0?
0, 1
Let h(s) be the first derivative of -s**3 + 19. Suppose h(k) = 0. What is k?
0
Suppose 3*s - v - 17 = 0, -3*s - 3*v = 2*s - 47. Suppose 3*o - 16 = -s. Factor 1/3 - 1/3*d**2 - 1/3*d + 1/3*d**o.
(d - 1)**2*(d + 1)/3
Let l(v) be the first derivative of -v**5/5 - 6*v**4 - 64*v**3 - 256*v**2 - 103. Factor l(h).
-h*(h + 8)**3
Let p(c) = c**3 - c. Suppose 8*s - 3*s - 5 = 0. Let i be p(s). Let -t - 4*t**4 + 3*t**2 + 5*t**4 - 3*t**3 + i*t**4 = 0. Calculate t.
0, 1
What is m in -4/7*m**5 + 80/7*m - 16/7*m**4 + 8*m**2 + 32/7 - 4/7*m**3 = 0?
-2, -1, 2
Factor 3/7*w**4 - 15/7*w**2 - 3/7*w**3 + 0 - 9/7*w.
3*w*(w - 3)*(w + 1)**2/7
Let r(q) = -94*q + 84. Let d(l) = -l**2 - 379*l + 335. Let b(v) = -4*d(v) + 18*r(v). Determine z, given that b(z) = 0.
1, 43
Let b(t) be the second derivative of -11/18*t**3 + 1/3*t**2 + 0 + 4/9*t**4 - 7/60*t**5 + 11*t. Solve b(l) = 0.
2/7, 1
Suppose 3*x + x = 0. Suppose -y + 6 = 2*j - x*j, 5*y - 25 = -5*j. Factor 3*r**3 + y*r**2 - 3*r**3 + 6*r**3 - 5*r**3.
r**2*(r + 4)
Let a(q) be the second derivative of q**5/40 - q**4/2 - 41*q. Factor a(d).
d**2*(d - 12)/2
Suppose -z = 4*z - 30. Let s(v) be the second derivative of 1/30*v**4 + 0*v**3 + 2*v + 0*v**2 + 0 - 2/25*v**z - 1/50*v**5. Determine p so that s(p) = 0.
-1/2, 0, 1/3
Let x = 947 + -945. Let u(i) be the first derivative of 4*i**3 - 9/2*i**2 - 3*i - x. Solve u(t) = 0 for t.
-1/4, 1
Let q(h) be the third derivative of -h**5/30 + h**4/2 + 7*h**3/3 + 299*h**2. Solve q(b) = 0.
-1, 7
Let b(k) be the third derivative of k**5/60 + 7*k**4/24 - 4*k**3/3 + 175*k**2. Factor b(o).
(o - 1)*(o + 8)
Let s(t) = -7*t**3 - 37*t**2 - 9*t + 3. Let f(m) = -8*m**3 - 36*m**2 - 10*m + 2. Let b(n) = 6*f(n) - 4*s(n). Factor b(v).
-4*v*(v + 3)*(5*v + 2)
Let f = 8362/62265 + -4/4151. Factor 0 - 2/5*n**3 - f*n + 2/15*n**4 + 2/5*n**2.
2*n*(n - 1)**3/15
Let s(l) be the third derivative of 0 - 11*l**2 + 1/56*l**6 - 1/14*l**4 + 0*l - 3/70*l**5 - 1/490*l**7 + 4/7*l**3. Factor s(i).
-3*(i - 2)**3*(i + 1)/7
Let d(b) be the second derivative of b**4/3 + 16*b**3/3 + 14*b**2 + 7*b + 2. Factor d(i).
4*(i + 1)*(i + 7)
Let f be 112/90 + -2 + (-36)/(-30). Let b(s) be the third derivative of -1/90*s**5 - f*s**3 + 0*s + 3*s**2 + 1/9*s**4 + 0. Solve b(h) = 0.
2
Let n(t) = -t + 24. Let d be n(16). Let 7*z**4 + d*z**3 - 10*z**3 - 15*z**2 - 2*z**4 - 25*z + 7*z**3 - 10 = 0. Calculate z.
-1, 2
Let g be 3*11/(22/12). Let i be (-2 - -1)/(13 - g). Factor -4/5*z**4 - 4/5*z**3 + 2/5 - i*z**5 + 2/5*z**2 + z.
-(z - 1)*(z + 1)**3*(z + 2)/5
Let f(w) be the third derivative of -w**7/1050 + 11*w**6/300 - 29*w**5/75 + 17*w**4/12 - 5*w**3/2 - 547*w**2. Suppose f(i) = 0. Calculate i.
1, 5, 15
Let y = -982 + 16647/17. Let b = y + 652/119. Let 1/7*z + 15/7*z**2 + z**4 + b*z**3 - 2/7 = 0. What is z?
-1, 2/7
Let k(n) be the first derivative of -4 + 0*n - 3/4*n**4 + 0*n**2 - 7*n**3. Determine l so that k(l) = 0.
-7, 0
Solve 1/2*i**3 - 4 - 5*i**2 + 17/2*i = 0.
1, 8
Let x(j) = -j**3 + 4*j**2 + 6*j + 3. Let y be x(-2). Suppose 16*i - y*i = 2. Let -6/5*v - 9/5 + 3/5*v**i = 0. Calculate v.
-1, 3
Suppose 2*i = -2*i + 28. Let l = 38 + -36. Suppose 5*s**2 - 2*s**l - 16*s - 12 - i*s**2 = 0. Calculate s.
-3, -1
Let o(w) be the third derivative of w**7/210 - w**6/90 - w**5/30 + w**4/6 + 19*w**3/6 + 7*w**2. Let x(f) be the first derivative of o(f). Factor x(a).
4*(a - 1)**2*(a + 1)
What is a in 2*a + 1/4*a**2 + 0 = 0?
-8, 0
Suppose 0 = -2*m + 6*r - 11*r + 26, -2*m = -3*r + 6. Let f(o) = 2. Let l(p) = 18*p**2 + 40*p + 14. Let q(i) = m*f(i) - l(i). Find v such that q(v) = 0.
-2, -2/9
Let l = 47701/104918 + -1/9538. Solve -2/11*m - 1/11*m**5 - 9/11*m**3 + 0 - 7/11*m**2 - l*m**4 = 0 for m.
-2, -1, 0
Let s(q) be the third derivative of -2 + 0*q**3 + 4*q**2 - 1/200*q**6 - 3/50*q**5 - 9/40*q**4 + 0*q. Solve s(z) = 0 for z.
-3, 0
Let a(j) be the first derivative of -1/21*j**3 + 3/7*j**2 + 43 - 9/7*j. Factor a(g).
-(g - 3)**2/7
Suppose 0*f = -2*f + 80. Let i = f + -20. Solve -12 - 5*o**2 + i + 118*o - 133*o + 12 = 0.
-4, 1
Let q(n) be the first derivative of n**6/840 - n**5/140 + n**4/84 - 4*n**2 - 8. Let p(w) be the second derivative of q(w). Factor p(k).
k*(k - 2)*(k - 1)/7
Let r(t) = t**3 - 13*t**2 - 32*t + 32. Let w be r(15). Factor -5/2*b**w - 45/2 + 15*b.
-5*(b - 3)**2/2
Suppose -2*t + 1 = -9. What is n in n**t + 19*n**4 + n**2 + 24*n**4 - 44*n**4 - n**3 = 0?
-1, 0, 1
Factor -1/4*w**2 + 9/2*w + 19/4.
-(w - 19)*(w + 1)/4
Let d(b) = -4*b**3 + 68*b**2 + 58*b. Let n(q) = 3*q**3 - 46*q**2 - 39*q. Let u(g) = 5*d(g) + 7*n(g). Factor u(w).
w*(w + 1)*(w + 17)
Let -8/5 - 2/5*b**2 + 8/5*b = 0. What is b?
2
Suppose -1 - 3*b**4 - 12*b**2 + 2*b**3 + 825*b - 819*b + 8*b**3 = 0. Calculate b.
1/3, 1
Let g = -336 + 15459/46. Let a = g + 63/92. Solve k**3 + 1/2 - 9/4*k + a*k**2 = 0.
-2, 1/4, 1
Let j(c) be the third derivative of -1331*c**7/105 + 121*c**6/10 - 22*c**5/5 + 2*c**4/3 - 9*c**2. Factor j(u).
-2*u*(11*u - 2)**3
Let j(d) be the second derivative of -d**4/6 - 7*d**3/3 - 10*d**2 + d - 42. Determine l, given that j(l) = 0.
-5, -2
Let z be (-26)/4 + 6 - 1/(-2). Let y(h) be the