+ 8*s**3/3 + 10*s. Let z(d) = 0. What is d?
0, 4
Factor 1/4*o**2 - 3/2*o + 9/4.
(o - 3)**2/4
Suppose -3*q - 3*w = -8*q, 3*q - 4*w = -11. Suppose -q*k = k - 12. Suppose -h**2 - 1 + 3*h**2 - 3*h**2 - k*h + h = 0. Calculate h.
-1
Let y(w) be the second derivative of w**7/42 - w**6/10 - w**5/20 + 11*w**4/12 - 2*w**3 + 2*w**2 - 4*w - 10. Factor y(s).
(s - 2)*(s - 1)**3*(s + 2)
Let z(d) be the third derivative of -d**5/90 - d**4/9 - 5*d**2. Factor z(f).
-2*f*(f + 4)/3
Suppose -p = 2*u - 1, -2*u - 5*p + 1 = -4. Determine l, given that 2 + u*l - l + 5*l + 2*l**2 = 0.
-1
Find l, given that 3/8*l**2 + 3/8*l**3 - 3/8 - 3/8*l = 0.
-1, 1
Let t(r) be the second derivative of 0*r**2 - 5*r + 0 + 4/21*r**3 - 3/70*r**5 - 2/21*r**4. Solve t(i) = 0.
-2, 0, 2/3
Let i = 83/75 - 11/25. Let l be 1/((-2)/4) + 2. Factor -1/3*y**3 + 1/3*y**2 + i*y + l.
-y*(y - 2)*(y + 1)/3
Let w be (-16)/(-4) - (2 - (-3 - -5)). Let t(r) be the second derivative of 2*r + 0 - 9*r**2 - 10*r**3 - 25/6*r**w. Let t(c) = 0. Calculate c.
-3/5
Suppose 2 = 2*y - 4*y. Let m be 5/60 + y/(-4). Factor 1/3*r + 1/3 - m*r**3 - 1/3*r**2.
-(r - 1)*(r + 1)**2/3
Suppose 50 = 2*o + 5*d, d + 98 = -0*o + 5*o. Factor -20*g**4 + 22*g**3 - 4*g**2 + 14*g**5 + 8*g**4 - o*g**4.
2*g**2*(g - 1)**2*(7*g - 2)
Suppose 0 = -4*y - 8, 5 - 1 = -o - 3*y. Determine a so that -2*a**2 + 3*a**3 - 4*a**3 + a**2 + 2*a**2 + o*a = 0.
-1, 0, 2
Let k(b) be the first derivative of b**7/840 + b**6/360 - b**5/120 - b**4/24 - b**3 - 4. Let a(i) be the third derivative of k(i). What is n in a(n) = 0?
-1, 1
Let v = 4 - 3. Let h be (v/(-7))/((-10)/35). Solve h*f + 3/2*f**3 + 3/2*f**2 + 0 + 1/2*f**4 = 0 for f.
-1, 0
Let q = 0 + 7. Let i(v) = -v**3 + 8*v**2 - 5*v - 9. Let j be i(q). Factor 0*k + 0*k**2 + k**3 + 3/2*k**4 + 1/2*k**j + 0.
k**3*(k + 1)*(k + 2)/2
Let t be (-254)/90 - 54/(-243) - -3. What is a in -t*a**2 - 2/5*a + 0 + 2/5*a**4 + 2/5*a**3 = 0?
-1, 0, 1
Let n(u) = -u**5 + 6*u**4 - 18*u**3 + 12*u**2 - 13*u + 2. Let k(i) = -i**3 - i**2 - i. Let l(j) = -4*k(j) + n(j). Solve l(b) = 0 for b.
1, 2
Suppose 0 = -d - t - 2*t + 2, 2*t + 2 = -4*d. Let i(m) = m**2 - 1. Let j(s) = 5*s**2 - 8*s + 5. Let l(a) = d*j(a) + 3*i(a). Let l(z) = 0. What is z?
2
Let n(v) be the second derivative of 0*v**2 - 1/50*v**5 + 0 - 1/10*v**4 - 2/15*v**3 + 6*v. Factor n(w).
-2*w*(w + 1)*(w + 2)/5
Let o(v) be the first derivative of v**3/9 + v**2/3 - 37. Factor o(w).
w*(w + 2)/3
Suppose -x + 2 = 0, 2*h - 3*x + 20 = x. Let v = 44 + h. Determine g, given that 44*g**3 - 22*g**3 + v*g**3 + 72*g**2 + 16*g - 50*g**4 = 0.
-2/5, 0, 2
Let d(k) be the second derivative of k**7/1680 + k**6/480 + k**5/480 + k**3/6 - k. Let f(b) be the second derivative of d(b). Factor f(j).
j*(j + 1)*(2*j + 1)/4
Let i = -2 - -5. Factor -i*v**3 + v**3 + 5*v**2 - 2*v**3 + v**4 - 2*v.
v*(v - 2)*(v - 1)**2
Suppose 4*v - 10*v = 0. Let 0*o**2 + 0*o + 0*o**3 + 1/3*o**4 + v = 0. Calculate o.
0
Let c(k) be the second derivative of -2*k**7/7 - 11*k**6/10 - 3*k**5/4 + k**4/2 - 21*k. What is t in c(t) = 0?
-2, -1, 0, 1/4
Suppose 3*f + 8 = 2. Let r be f/((-1)/((-10)/4)). Let i(y) = -2*y**2 - 3*y - 1. Let d(s) = s**2 + 3*s + 1. Let j(u) = r*i(u) - 6*d(u). Factor j(o).
(o - 1)*(4*o + 1)
Suppose 4*l + 11 = -5*x - 2, -11 = -2*l + x. Suppose -2 = -3*h + 4. Factor k**h - 6*k**2 + k + l*k**2 - 5*k.
-2*k*(k + 2)
Let f(w) be the first derivative of 2*w**3/21 - 6*w**2/7 + 18*w/7 - 1. Solve f(z) = 0.
3
Let u be -8*9/(-54)*3/2. Find j such that 3/4*j**3 + 0 + 3/2*j**u + 3/4*j = 0.
-1, 0
Let f(o) be the third derivative of o**5/210 + o**4/84 + 8*o**2. Solve f(d) = 0.
-1, 0
Let z(p) = -4*p + 2. Let u be z(0). Find f, given that -f**u + 1 - 5/2*f + 5/2*f**3 = 0.
-1, 2/5, 1
Let k(d) be the first derivative of 6*d**5/25 - 2*d**3/5 - 19. Factor k(u).
6*u**2*(u - 1)*(u + 1)/5
Let o(z) be the first derivative of -1/6*z**3 - 1/2*z**2 + 4 + 4*z - 1/48*z**4. Let w(x) be the first derivative of o(x). Factor w(p).
-(p + 2)**2/4
Suppose i - 3*z = -15, z = i + 3*i + 5. Let n(c) be the second derivative of -1/135*c**6 + 2*c + 2/27*c**3 - 5/54*c**4 + 2/45*c**5 + 0*c**2 + i. Solve n(t) = 0.
0, 1, 2
Let o be (-1 - -1)*(-9 + 10). Find i, given that -i**2 + o*i**2 + 2 - 1 = 0.
-1, 1
Suppose -2*t = -t + 5*v + 15, 3 = -v. Suppose -y - 3*y + 13 = j, 30 = 5*y + 4*j. Determine k so that -2/5*k**y - 2/5*k**3 + t + 0*k = 0.
-1, 0
Let c be 0 - ((-564)/(-5))/(-2). Let r = -56 + c. Suppose -4/5*m - 2/5 - r*m**2 = 0. What is m?
-1
Suppose -6 = -5*y + 4. Factor -4/3*q**4 - 4/3*q**2 + 1/3*q**5 + y*q**3 + 0 + 1/3*q.
q*(q - 1)**4/3
Let d = 13/6 + -47/30. Solve d*q**2 + 3/5*q + 1/5 + 1/5*q**3 = 0.
-1
Let i(g) = -2*g**5 - 3*g**4 + 7*g**3 + 3*g**2 - 5*g - 3. Let a(n) = 2*n**5 + 4*n**4 - 8*n**3 - 4*n**2 + 6*n + 4. Let c(l) = 3*a(l) + 4*i(l). Factor c(s).
-2*s*(s - 1)**2*(s + 1)**2
Let f(a) = -24*a**4 - 80*a**3 - 100*a**2 - 60*a - 20. Let z(p) = -p**5 - p**4 + p**3 - p + 1. Let m(q) = f(q) + 4*z(q). Solve m(t) = 0 for t.
-2, -1
Let q(w) = -4*w + 0 + 0 - 2. Let m be q(-2). Let o**5 + 5*o**4 + 4*o**2 + 0*o + o - o**4 + m*o**3 = 0. What is o?
-1, 0
Let l(q) be the second derivative of 0 + 1/50*q**5 - 6*q + 0*q**3 + 1/15*q**4 + 0*q**2. Factor l(h).
2*h**2*(h + 2)/5
Let t(b) be the first derivative of -2*b**5/5 + b**4/9 + 2*b**3/3 - 2*b**2/9 - 9. Find s, given that t(s) = 0.
-1, 0, 2/9, 1
Let w = 1 - 1. Suppose -2*v + w = -2. Find j such that 3 + 3*j**3 + j**3 + 9*j + 12*j**2 - v = 0.
-2, -1/2
Let s be (-1934)/(-240) - 5 - 3*1. Let j(y) be the third derivative of 1/30*y**5 + 0*y**3 + 2*y**2 + s*y**6 - 1/24*y**4 + 0*y + 2/105*y**7 + 0. Factor j(i).
i*(i + 1)**2*(4*i - 1)
Let q(f) be the second derivative of f**6/50 + 2*f**5/25 + 7*f**4/60 + f**3/15 + 15*f. Determine p so that q(p) = 0.
-1, -2/3, 0
Let m(o) = 3*o**3 - 6*o**2 - 5*o. Let n(z) = z + 10. Let f be n(-8). Let g(t) = -t - t**2 + t**3 + 2*t**3 - f*t**3. Let y(q) = -4*g(q) + m(q). Factor y(l).
-l*(l + 1)**2
Suppose 3*o = 5*o - 4. Let r be o + (3 - (-13)/(-4)). Find f, given that -1/2 - 7/4*f - 3/4*f**2 + r*f**3 + 5/4*f**4 = 0.
-1, -2/5, 1
Let k(z) = -z - 4. Let g be k(-5). Let i = 4 + g. Determine p so that 6/7*p**i - 4/7 + 16/7*p**4 - 12/7*p**2 + 8/7*p**3 - 2*p = 0.
-1, -2/3, 1
Suppose -4 + 0*s**2 + 3*s**2 - 4*s + 8*s = 0. Calculate s.
-2, 2/3
Let l(p) be the third derivative of 5*p**8/84 + 8*p**7/35 + 3*p**6/10 + 2*p**5/15 - p**2. Factor l(s).
4*s**2*(s + 1)**2*(5*s + 2)
Suppose p = 7 - 8. Let o be 4/p - -1 - -3. Factor -3/4*b**2 + o*b + 3/4.
-3*(b - 1)*(b + 1)/4
Let w(t) be the second derivative of -t**8/13440 + t**7/1680 - t**6/720 + t**4/3 + 5*t. Let g(z) be the third derivative of w(z). Factor g(k).
-k*(k - 2)*(k - 1)/2
Suppose -2*s - 48 = -3*o, 0 = 4*s + 4*o + 25 + 51. Let z be -1*(s/12)/7. Determine l so that 3/4*l**2 - 1 - z*l**3 + 0*l = 0.
-1, 2
Factor -4/9*k**2 + 0 + 2/9*k**3 + 2/9*k.
2*k*(k - 1)**2/9
Let t(h) be the second derivative of -h**9/12096 - h**8/3360 - h**7/3360 + h**3/6 - 4*h. Let z(j) be the second derivative of t(j). Factor z(c).
-c**3*(c + 1)**2/4
Let k = 0 - 1. Let a be (-18)/(-4) - k/2. Factor -d**3 - 2*d**4 - 2*d**a + 3*d**3 + 2*d**4.
-2*d**3*(d - 1)*(d + 1)
Let k(v) be the third derivative of -v**5/60 - 3*v**4/8 - 7*v**3/3 + 4*v**2 + 2. Determine c so that k(c) = 0.
-7, -2
Let z(b) be the second derivative of -2*b**6/105 - 2*b**5/35 + 4*b**3/21 + 2*b**2/7 + 14*b. Solve z(u) = 0.
-1, 1
Suppose -f + 2 = -3. Find j, given that -3*j**f + 3*j**3 + j**5 - j + j**5 - j**3 = 0.
-1, 0, 1
Let m = 11 - 7. Determine i, given that 2*i**2 - 8*i**3 - 4*i + 6*i**2 + 2*i**2 + i**m + i**4 = 0.
0, 1, 2
Factor 80*c - 96 - 56/3*c**2 + 4/3*c**3.
4*(c - 6)**2*(c - 2)/3
Let l(n) be the third derivative of -n**6/80 - 9*n**5/40 - 27*n**4/16 - 27*n**3/4 - 4*n**2. Factor l(b).
-3*(b + 3)**3/2
Suppose -8 = -6*w + 2*w. Factor -12*m - 4 - 3*m**2 + 4*m**w + 6*m**2.
(m - 2)*(7*m + 2)
Let t = -30158/5 + 5950. Let x = t + 82. Solve 0 - x*u**3 - 2/5*u - 4/5*u**2 = 0 for u.
-1, 0
Let o be (-3)/(108/64) + 2. Suppose -h = -3*j + 3, 2*j + 4 = -4*h + 20. Factor 4/9*v**j + 0 + o*v**3 + 2/9*v.
2*v*(v + 1)**2/9
Let v(p) be the first derivative of -p**7/210 + p**6/60 - p**5/60 - 7*p**2/2 - 7. Let s(k) be the second derivative of v(k). Factor s(t).
-t**2*(t - 1)**2
Factor 2/15*b**2 + 8/15*b - 2/3.
2*(b - 1)*(b + 5)/15
Sup