3 + 7*v**2 + 8*v + 25. Factor m(q).
-2*(q - 4)*(q + 1)**2
Suppose 3*b = b - 4, -256 = -r + 4*b. Let a = r + -246. Determine g so that 2 + 4/3*g - 2/3*g**a = 0.
-1, 3
Determine p, given that 5/3 + 1/3*p**2 - 2*p = 0.
1, 5
Let m be (-7 - -1)/((-6)/(-4)). Let h be 2*1/m - -2. Determine o, given that o**4 + o**2 + 1/4*o**5 + 1/4*o + 0 + h*o**3 = 0.
-1, 0
Determine k so that 2/3*k**3 - 52/3 + 8*k**2 - 10*k = 0.
-13, -1, 2
Let y be (-3)/6 - (-220)/8. Let t be 2 + -3 + 3 + y. Solve -i + 31 - t - 5*i**2 + 3*i**2 + i**3 = 0 for i.
-1, 1, 2
Let x = 1028/10655 - -57805529/17868435. Let v = x - -1/559. Factor 0 + 2/3*h**4 + 6*h + 2*h**2 - v*h**3.
2*h*(h - 3)**2*(h + 1)/3
Let z = 140 + -138. Factor -46*a**2 + 15*a**2 - 297*a - 243 - 26*a**z - 3*a**3.
-3*(a + 1)*(a + 9)**2
Let d = 36 + -33. Let 52*o - 2*o**2 - 404 + 5*o - 46 + d*o = 0. Calculate o.
15
Suppose -28*s + 216 = 76. Find r, given that 15/2*r**4 + 0 + 6*r**2 + 0*r + 24*r**3 - 21/2*r**s = 0.
-1, -2/7, 0, 2
Factor -2/3*r**2 + 2 - 4/3*r.
-2*(r - 1)*(r + 3)/3
Suppose -96*f + 112*f - 32 = 0. Solve -1/3*o**4 - 2/3*o**3 + 0 - 1/3*o**f + 0*o = 0.
-1, 0
Let y(m) be the third derivative of 1/120*m**6 - 9*m**2 + 0 + 0*m + 5/8*m**4 + 7/60*m**5 + 3/2*m**3. Factor y(p).
(p + 1)*(p + 3)**2
Suppose -1 = 4*i - p - 3, 0 = -2*i + p + 2. Suppose 3*z - 4*z + 4 = i. Factor -4*t + 3*t**3 + 3*t**3 - 2*t**3 - 4*t**z - 3*t**2 + 7*t**2.
-4*t*(t - 1)**2*(t + 1)
Solve 16/9 + 4/3*y + 2/9*y**2 = 0.
-4, -2
Find k, given that -2 + 2*k + 2 + 4784*k**2 - 4782*k**2 - 4 = 0.
-2, 1
Let h(y) be the third derivative of 2/33*y**3 + 0 + 13*y**2 + 1/330*y**5 + 0*y - 1/44*y**4. Determine q, given that h(q) = 0.
1, 2
Let k(t) be the second derivative of t**6/15 + t**5/2 + t**4/2 - 5*t**3/3 - 4*t**2 - t + 11. Factor k(u).
2*(u - 1)*(u + 1)**2*(u + 4)
Let s(o) be the third derivative of 3/20*o**5 - 9/64*o**6 + 0*o + 5/112*o**7 - 1/16*o**4 + 0*o**3 + 0 - o**2. Find c, given that s(c) = 0.
0, 2/5, 1
Let q = 262746/229915 - -2/32845. Solve -6/7*t + q*t**2 - 2/7*t**3 + 0 = 0 for t.
0, 1, 3
Let w(i) be the second derivative of 605/3*i**4 - 31*i + 0 - 110/3*i**3 + 5/2*i**2. Factor w(z).
5*(22*z - 1)**2
Let c be (-6)/135*(-21)/196. Let t(q) be the third derivative of -1/84*q**4 - c*q**5 + 0 + 0*q**3 + 0*q - 7*q**2. Suppose t(m) = 0. Calculate m.
-1, 0
Let m = -6767 - -6769. Factor 2*g**3 + 1/2*g**m - 1/2 - 2*g.
(g - 1)*(g + 1)*(4*g + 1)/2
Let z(j) be the first derivative of -2*j**3/51 - 53*j**2/17 - 12*j - 409. Let z(k) = 0. What is k?
-51, -2
Factor 77*k**2 - 6*k**3 + 25*k - 4*k**4 - 69*k**2 + 2*k**5 - 17*k.
2*k*(k - 2)**2*(k + 1)**2
Factor c**3 + c**3 - 900 + 2081*c**2 + 570*c - 2145*c**2.
2*(c - 15)**2*(c - 2)
Let h be ((-6)/5)/(1/15). Let o = -14 - h. Solve -13 + 13 - o*a**2 - 8*a = 0 for a.
-2, 0
Let l be (-12)/((3/(-5))/(9/45)). Let 0*n + 4/3*n**2 + 2/3*n**5 - 2/3*n**3 - 4/3*n**l + 0 = 0. What is n?
-1, 0, 1, 2
Factor -6/5*r + 4/5*r**3 + 0 + 1/5*r**4 + 1/5*r**2.
r*(r - 1)*(r + 2)*(r + 3)/5
Let j = 629 + -2501/4. Suppose 13*b - 5 = 8*b - 5*x, -1 = -3*b - 5*x. Determine r, given that 3/4*r**b + j*r + 3 = 0.
-4, -1
Let l(g) be the first derivative of 0*g**2 + 0*g - 2*g**4 + 22 + 12/5*g**5 + 0*g**3 - 2/3*g**6. Factor l(k).
-4*k**3*(k - 2)*(k - 1)
Let k(t) be the second derivative of -t**5/30 + t**4/12 + 2*t**3/3 + 4*t**2 - 21*t. Let z(x) be the first derivative of k(x). Factor z(a).
-2*(a - 2)*(a + 1)
Let q be (0 - 3/39)/((-26)/104). Determine u so that -8/13*u**4 + 4/13*u**2 - 8/13*u**3 + q + 10/13*u - 2/13*u**5 = 0.
-2, -1, 1
Let k(u) be the third derivative of u**8/84 + 2*u**7/105 + u**2. Let l(w) = w**4. Let c = -30 - -29. Let y(q) = c*k(q) + 12*l(q). Factor y(g).
-4*g**4*(g - 2)
Factor -1215*m + 999/4*m**2 + 3/4*m**4 + 2187 - 45/2*m**3.
3*(m - 9)**2*(m - 6)**2/4
Let a(n) be the first derivative of -5*n**5 - 5*n**4/2 - 297. Factor a(t).
-5*t**3*(5*t + 2)
Suppose -6 = 2*a - 3*x, -5 - 11 = 4*a - 4*x. Let c = 8 + a. Solve 9*j + 25*j**2 - 6 - 10*j**2 + 24*j**3 + 39*j**c = 0.
-2, -1/2, 1/4
Let h(z) be the first derivative of -z**5/12 - 5*z**4/6 - 5*z**3/2 - 21*z**2/2 - 13. Let r(g) be the second derivative of h(g). What is y in r(y) = 0?
-3, -1
Suppose 5*w - w = 12. Suppose -i = w, 6 - 3 = 3*l + 2*i. Suppose 3*v - 8*v**2 + 3*v**2 + 9*v + l*v = 0. What is v?
0, 3
Let v be -2 + 12 + (-6 - -2). Let z be ((-8)/v)/(18/(-27)). Factor -4*a - 5*a**2 + 0*a**2 + 2*a**z - a**2 + 8.
-4*(a - 1)*(a + 2)
Let c be (4 + 147/(-35))/(24/(-48)). Let 6/5*r**2 - 2/5*r**3 + c - 6/5*r = 0. Calculate r.
1
Let i(j) be the first derivative of j**7/420 - j**6/90 + j**5/60 + j**3/3 + 2*j**2 + 4. Let v(p) be the third derivative of i(p). Determine f so that v(f) = 0.
0, 1
Suppose -5*v = 8*i - 14, -8*i + 13 = -7*i - 5*v. Find w, given that -3/5*w**2 - 2/5*w + 0 + 1/5*w**4 + 0*w**i = 0.
-1, 0, 2
Suppose 0 = 5*s + g - 7, -s + 5*g = -26 + 9. Solve 11*r**2 + s*r**3 + r**3 - 18 - 6*r**3 - 35*r**2 - 39*r = 0 for r.
-6, -1
Let z(r) be the first derivative of 2*r**5/5 - 4*r**4 - 20*r**3 - 32*r**2 - 22*r + 103. Factor z(i).
2*(i - 11)*(i + 1)**3
Let u be 4/(48/15) - (-391)/(-460). Factor 0*v**4 - u*v**3 + 0*v + 2/5*v**5 + 0 + 0*v**2.
2*v**3*(v - 1)*(v + 1)/5
Suppose 25*i - 125/2 - 5/2*i**2 = 0. What is i?
5
Let z(h) = -23*h**4 - 19*h**3 - 100*h**2 - 105*h - 34. Let f(j) = 2*j**4 + 2*j**2 - j - 2. Let u(x) = -44*f(x) - 4*z(x). Factor u(n).
4*(n + 1)*(n + 2)**2*(n + 14)
Let f(n) be the third derivative of -n**8/1176 - 16*n**7/735 - 5*n**6/21 - 152*n**5/105 - 16*n**4/3 - 256*n**3/21 - 2*n**2 - 70*n. Factor f(b).
-2*(b + 2)**2*(b + 4)**3/7
Let z(m) be the first derivative of m**4/16 - m**3/12 + 139. Suppose z(w) = 0. What is w?
0, 1
Let x(k) be the first derivative of -k**4/2 + 8*k**3/3 - 3*k**2 + 79. Factor x(b).
-2*b*(b - 3)*(b - 1)
Solve -2/7*v - 3/7*v**5 + 5/7*v**3 + 5/7*v**2 - 5/7*v**4 + 0 = 0.
-2, -1, 0, 1/3, 1
Let b(s) be the second derivative of 2*s**6/45 + s**5/30 - s**4/18 + 2*s + 23. Factor b(q).
2*q**2*(q + 1)*(2*q - 1)/3
Factor -112*g**3 + 128*g + 384 + 60*g**3 - 8*g**2 + 48*g**3.
-4*(g - 6)*(g + 4)**2
Let w be ((-20)/(-8))/(195/234). Factor 1/5*q**w - 1/5*q - 2/5*q**2 + 2/5.
(q - 2)*(q - 1)*(q + 1)/5
Factor -1568/11 - 114/11*b**2 + 2/11*b**3 + 1680/11*b.
2*(b - 28)**2*(b - 1)/11
Let o(x) be the second derivative of 19*x + 0 + 0*x**2 - 1/4*x**4 + 0*x**3. Let o(g) = 0. What is g?
0
Let o(v) be the first derivative of 6*v**4 + 4*v**3/3 - 12*v**2 - 4*v + 68. Factor o(i).
4*(i - 1)*(i + 1)*(6*i + 1)
Let l(i) be the first derivative of -i**6/165 + i**5/55 + i**4/66 - 2*i**3/33 - 7*i - 18. Let c(a) be the first derivative of l(a). Let c(n) = 0. Calculate n.
-1, 0, 1, 2
Let p = -1003/3 - -335. Let q(k) be the second derivative of 0*k**2 - p*k**3 - 5*k + 0 - 1/3*k**4. Let q(b) = 0. What is b?
-1, 0
Suppose -5 = -5*l, 4*y + 4*l = -l + 101. Suppose -9*h = -42 + y. Suppose 8/7*t + 1/7*t**h + 16/7 = 0. Calculate t.
-4
Let q(u) = 3*u**3 + u**2 - 8*u - 14. Let r(a) = 7*a**3 + a**2 - 17*a - 31. Let s(c) = -5*q(c) + 2*r(c). Find f, given that s(f) = 0.
-4, -1, 2
Let f = -36136/11 - -3286. Factor 18/11*n - 2/11*n**3 + f + 6/11*n**2.
-2*(n - 5)*(n + 1)**2/11
Let c(m) = 4*m - 6. Let h be c(5). Suppose 5*t - 4*w - 4 = 0, 0 = 4*w - h - 2. What is y in -3*y**2 + 3*y**5 + 3*y**t + 0*y**2 + y**3 - 2*y**3 - 2*y**3 = 0?
-1, 0, 1
Let d be (10/4 - 1)/((-5)/(-10)). Let w be d/63*33 + -1. Factor -2/7*h + w*h**2 - 2/7*h**3 + 0.
-2*h*(h - 1)**2/7
Let t(i) be the first derivative of -3*i**5/20 + i**4/2 - 2*i**3/3 + 6*i**2 + 5. Let n(g) be the second derivative of t(g). Find j, given that n(j) = 0.
2/3
Let n(y) be the third derivative of -y**5/210 - y**4/84 + 2*y**3/7 + 13*y**2 + 7*y. Factor n(h).
-2*(h - 2)*(h + 3)/7
Let h(g) be the third derivative of 0*g - 2/105*g**7 - 1/15*g**6 + 0 + 0*g**3 - 1/15*g**5 + 0*g**4 - 7*g**2. Factor h(p).
-4*p**2*(p + 1)**2
Suppose 56*t - 4*t - 324 = -29*t. Determine c so that -16/3 - t*c + 28/3*c**2 = 0.
-4/7, 1
Let w(i) = i**4 - i**3 - i**2 + i + 1. Let t(q) = 6*q**4 - 10*q**3 - 4*q**2 + 18*q + 13. Let v(a) = 5*t(a) - 35*w(a). Factor v(u).
-5*(u - 2)*(u + 1)**2*(u + 3)
Let c be 2 + -1 + (-10)/(-2). Let r(o) = o**2. Let g(h) = h**2 + 12*h - 18. Let t(j) = c*r(j) - 2*g(j). Suppose t(i) = 0. What is i?
3
Let a(p) be the third derivative of 1/20*p**5 - 1/180*p**6 - 9*p**2 + 5/3