**3 - 5/3*t**4 + 0 + 0*t**2 = 0.
-4, 0
Let z(x) be the first derivative of -x**7/280 - x**6/180 + 14*x**3/3 - 18. Let k(s) be the third derivative of z(s). Let k(c) = 0. What is c?
-2/3, 0
Factor -124*x - 60*x**3 - 96 - 84*x - 7*x**4 - x**4 - 168*x**2.
-4*(x + 2)**3*(2*x + 3)
Suppose 2*p + 20 = 4. Let k be p/(-2) + 70/(-21). Factor -2/3*r + k*r**2 - 2/3 + 2/3*r**3.
2*(r - 1)*(r + 1)**2/3
Let x = -3584 - -17924/5. Suppose -13/5*s**3 + 6/5*s**4 + 0 + 12/5*s**2 - 1/5*s**5 - x*s = 0. What is s?
0, 1, 2
Let m be 334/6 + (-26)/39. Suppose -35*n**2 + 73*n**4 - 10 + 12*n**3 - 28*n**4 + m*n - 67*n**3 = 0. Calculate n.
-1, 2/9, 1
Let q(j) be the third derivative of 0*j**3 - 1/110*j**5 + 0*j - 7*j**2 + 0*j**4 + 1/165*j**6 + 0 - 1/1155*j**7. Let q(s) = 0. What is s?
0, 1, 3
Let q = 17 - 9. Suppose -6*m = -q*m + 12. Factor 7*z**3 - m*z**3 - 3*z**4 + 2*z**3.
-3*z**3*(z - 1)
Let p(a) = a - 3*a**2 - 6 + 4*a - 11*a + 2*a**2. Let m be p(-2). Factor 27/2 + 3/2*i**m - 9*i.
3*(i - 3)**2/2
Let m(q) = 29*q**2 + q - 2. Let z be m(1). Let i be -6*z/(-36) + -4. Factor 1/3*s**2 + s + i.
(s + 1)*(s + 2)/3
Let m(v) = 10*v**2 + 56*v + 56. Let f = -19 - -35. Let n(d) = 2*d**2 + 11*d + 11. Let q(s) = f*n(s) - 3*m(s). Determine c, given that q(c) = 0.
-2
Let j(v) be the second derivative of v**4/6 + 8*v**3/3 - 9*v**2 - 69*v. Factor j(i).
2*(i - 1)*(i + 9)
Let q(s) be the second derivative of s**7/280 + s**6/120 - 13*s**3/6 + 2*s. Let b(z) be the second derivative of q(z). Solve b(a) = 0 for a.
-1, 0
Let a be (-23)/(-12) - (-1100)/(-880). Let o be (-4)/3*(-6)/4. Find i such that 0*i**o - 2/3*i**4 + 0*i + a*i**3 + 0 = 0.
0, 1
Let u = 1861/3714 - 2/1857. Let w(p) be the second derivative of u*p**2 + 0 + 8*p - 1/6*p**3 + 1/20*p**5 - 1/12*p**4. Factor w(c).
(c - 1)**2*(c + 1)
Let g(p) be the first derivative of p**8/1680 - p**7/315 + p**6/360 + p**5/180 + 8*p**3/3 - 32. Let c(y) be the third derivative of g(y). Factor c(u).
u*(u - 2)*(u - 1)*(3*u + 1)/3
Let j be ((-242)/168 + 625/500)/((-4)/30). Factor -j*g**2 - 2/7*g**3 - 6/7*g + 18/7.
-2*(g - 1)*(g + 3)**2/7
Suppose 0 = -23*b + 29*b - 12. Let g(l) be the third derivative of 1/16*l**4 + 0*l + 3/8*l**3 + 0 + 4*l**b + 1/240*l**5. Determine m, given that g(m) = 0.
-3
Suppose 0 = 25*m + 15*m. Let s(l) be the second derivative of 0*l**3 + 7*l + m + 1/20*l**4 + 1/50*l**6 + 0*l**2 + 3/50*l**5. Let s(w) = 0. What is w?
-1, 0
Let s(r) be the second derivative of -5*r + 0*r**2 + 0 + 1/9*r**3 + 1/36*r**4. What is c in s(c) = 0?
-2, 0
Suppose 0 = -z + 13 + 8. Factor -18*g**2 - 7*g**3 + 25*g**3 - 3 + 15 - z*g**2.
3*(g - 2)*(2*g + 1)*(3*g - 2)
Let k(r) be the second derivative of r**7/70 - r**5/10 + r**3/2 - 21*r**2/2 - 8*r. Let b(x) be the first derivative of k(x). Let b(m) = 0. What is m?
-1, 1
Suppose -6*t - 107 = 205. Let n = -50 - t. Find b such that 1/5*b**n - 4/5*b + 3/5 = 0.
1, 3
Let o(l) = 15*l**3 - 13*l**2 - 92*l - 40. Let x(q) = 75*q**3 - 66*q**2 - 459*q - 201. Let z(v) = 21*o(v) - 4*x(v). Factor z(s).
3*(s - 3)*(s + 2)*(5*s + 2)
Let o(h) be the first derivative of 2*h**5/75 - h**4/6 - 2*h**3/45 + h**2/3 - 67. Factor o(x).
2*x*(x - 5)*(x - 1)*(x + 1)/15
Let t = -5437/20 - -1089/4. Find h, given that 2/5*h + 0 - t*h**3 + 2/5*h**2 - 2/5*h**4 = 0.
-1, 0, 1
Let f(q) = q**3 - 12*q**2 + 12*q + 1. Let g be f(11). Suppose -3*a + 6 = -g. Factor 19*d**3 - d**2 + 2*d - a*d**2 - 28*d**3.
-d*(d + 1)*(9*d - 2)
Let t = 110/27 - 104/27. Let g(f) be the third derivative of 0 + 6*f**2 + 0*f + 1/18*f**4 - t*f**3 - 1/180*f**5. Factor g(i).
-(i - 2)**2/3
Let d(o) = -8*o**4 - 29*o**3 - 62*o**2 + 9*o + 87. Let z(r) = 7*r**4 + 31*r**3 + 63*r**2 - 11*r - 88. Let v(k) = 2*d(k) + 3*z(k). Determine j so that v(j) = 0.
-3, -2, 1
Let n be (2/(-5))/(18*(-8)/135). Factor n*d**2 + 0*d - 1/2 + 1/8*d**3.
(d - 1)*(d + 2)**2/8
Let o be ((-18)/120)/((-18)/(-16)). Let x = o - -4/5. Let x*f**2 + 0*f + 2/3*f**4 - 4/3*f**3 + 0 = 0. Calculate f.
0, 1
Let g = 102/25 - 2629/50. Let d = g - -49. Suppose 0 + i**3 + 0*i**2 - 1/2*i**5 + 0*i**4 - d*i = 0. Calculate i.
-1, 0, 1
Let k(y) be the second derivative of 0*y**2 - 1/63*y**7 + 0*y**3 - 1/5*y**5 - 41*y + 0*y**4 + 1/9*y**6 + 0. Factor k(f).
-2*f**3*(f - 3)*(f - 2)/3
Let i(q) be the first derivative of 0*q**2 + 14 + 2/5*q - 2/15*q**3. Solve i(a) = 0 for a.
-1, 1
Let s(n) = -n**2 - 2*n + 1090. Let u be s(-34). Factor 4/3*l**u + 28/3*l**4 + 0 - 2/3*l + 8*l**3 + 10/3*l**5.
2*l*(l + 1)**3*(5*l - 1)/3
Suppose 0*x**2 + 0 + 4/5*x**5 + 0*x + 232/5*x**4 + 3364/5*x**3 = 0. Calculate x.
-29, 0
Let x(i) be the first derivative of i**8/2016 - i**7/1008 - 5*i**6/432 - i**5/48 + 11*i**3/3 + 4. Let t(d) be the third derivative of x(d). Solve t(f) = 0.
-1, 0, 3
Let x(y) be the second derivative of 1/60*y**5 + 1/24*y**4 + 1/24*y**3 + 0 - 2*y - 3/2*y**2. Let d(t) be the first derivative of x(t). Factor d(m).
(2*m + 1)**2/4
Suppose -8/3*z**2 + 2/3*z**4 + 2 - 4/3*z**3 + 4/3*z = 0. What is z?
-1, 1, 3
Let a(n) be the third derivative of -1/360*n**6 + 0 + 0*n**5 + 6*n**2 + 1/24*n**4 - 1/9*n**3 + 0*n. Factor a(o).
-(o - 1)**2*(o + 2)/3
Let j = -3086 - -3088. Determine g, given that 5 + j*g + 1/5*g**2 = 0.
-5
Suppose d = 2*f - 3, -4*f - 6 = -4*d - 2. Suppose 1 + 11 = f*k. Factor -3/4*z**2 + 0 + 3/4*z**k - 3/2*z.
3*z*(z - 2)*(z + 1)/4
Let k(r) be the third derivative of -r**8/2352 - 2*r**7/735 + 4*r**5/105 + 2*r**4/21 - 138*r**2. Determine n, given that k(n) = 0.
-2, 0, 2
Let n(a) = 30*a**3 + 36*a**2 - 40*a. Let p(g) = -20*g**3 - 24*g**2 + 27*g. Let s(d) = -5*n(d) - 8*p(d). Factor s(b).
2*b*(b + 2)*(5*b - 4)
Let c(n) = n**3 + 53*n**2 - 88*n + 28. Let b(a) = -3*a**3 - 107*a**2 + 176*a - 56. Let p(x) = -6*b(x) - 13*c(x). Factor p(y).
(y - 7)*(y - 2)*(5*y - 2)
Let j = 25126/65 + -1932/5. Suppose 0*q**2 + 0*q**3 + 0*q + 0 + j*q**4 = 0. What is q?
0
Let q(w) be the third derivative of 0 - 5/6*w**4 - 13*w**2 - 4/3*w**3 + 0*w - 4/15*w**5 - 1/30*w**6. Let q(m) = 0. What is m?
-2, -1
Let n(a) = -7*a**2 - 37. Let j(r) = -2*r**2 + 3*r + 1. Let i(k) = 5*j(k) - n(k). Factor i(c).
-3*(c - 7)*(c + 2)
Let t be 4/10*2/(-20)*-5. Solve -t*u**2 - 1/5*u**3 + 1/5*u**4 + 0 + 1/5*u = 0.
-1, 0, 1
Let o(i) be the second derivative of -i**4/42 - 7*i**3/3 + 102*i**2/7 + 14*i + 14. Let o(f) = 0. Calculate f.
-51, 2
Let -g**5 + 0*g + 0 + 43/7*g**4 + 0*g**2 - 6/7*g**3 = 0. What is g?
0, 1/7, 6
Let f(r) be the third derivative of -r**6/840 + r**5/30 + 17*r**4/42 + 12*r**3/7 + 9*r**2 - 4*r. Let f(u) = 0. Calculate u.
-2, 18
Let l(z) be the second derivative of -z**6/360 + z**5/60 - 7*z**3/6 + 6*z. Let r(q) be the second derivative of l(q). What is u in r(u) = 0?
0, 2
Suppose 3*n + 14 = 4*q, 3*n = 538*q - 539*q + 11. Solve -1/2*m**4 + m + 3/4*m**3 + 0 + 2*m**n - 1/4*m**5 = 0 for m.
-2, -1, 0, 2
Let y(s) be the second derivative of -s**6/75 - 17*s**5/50 - 41*s**4/15 - 4*s**3/5 + 504*s**2/5 + 237*s + 1. Find k, given that y(k) = 0.
-7, -6, 2
Factor 5*f**4 - 2*f**5 - 202*f - 64*f**3 + 202*f + 64*f**2 - 7*f**4 + 22*f**4.
-2*f**2*(f - 4)**2*(f - 2)
What is k in -10*k**2 + 120*k + 0 - 95/3*k**3 + 0*k**4 + 5/3*k**5 = 0?
-3, 0, 2, 4
Suppose 2*w + 10 = 18. Factor 8*h**5 + h**3 - 12*h**5 - w*h**2 - 8*h**3 - 12*h**4 - 5*h**3.
-4*h**2*(h + 1)**3
Let x(q) be the first derivative of -q**6/3 - 6*q**5/5 - q**4 + 178. Factor x(l).
-2*l**3*(l + 1)*(l + 2)
Suppose -3*h + 11 = -51*o + 55*o, 12 = 5*o + 2*h. Solve 2/9 + 2/9*v**4 - 4/9*v**o + 0*v + 0*v**3 = 0.
-1, 1
Let u(z) be the second derivative of -z**8/8400 + 3*z**3/2 - 3*z. Let d(t) be the second derivative of u(t). Factor d(f).
-f**4/5
Let k(r) be the second derivative of 5*r**7/42 - 7*r**6/6 + 15*r**5/4 - 15*r**4/4 + 97*r. Determine l, given that k(l) = 0.
0, 1, 3
Let z be (-15)/((4 + 0)/(-4)). Let o be 6/(-9) - (-85)/z. Suppose 45*q**2 + 9*q**3 - 4*q**3 - 45*q**4 + o*q**3 - 20*q**5 + 10*q = 0. Calculate q.
-2, -1, -1/4, 0, 1
Factor -9/5*m**3 + 0 + 24/5*m - 3/5*m**4 + 18/5*m**2.
-3*m*(m - 2)*(m + 1)*(m + 4)/5
Let v(d) = -5*d**2 + 61*d + 3. Let p(o) = -56*o**2 + 674*o + 34. Let f(u) = 6*p(u) - 68*v(u). Factor f(z).
4*z*(z - 26)
Let b(n) = n**2 + 2*n - 22. Let u be b(-6). Find s, given that -5*s**3 + s**3 - 6*s**2 + u*s**3 - 4*s = 0.
-2, -1, 0
Let k(y) be the second derivative of -y**4/6 + 8*y**3/3 + 9*y**2 - 207*y. Factor k(a).
-2*(a - 9)*(a + 1)