actor f(d).
d*(d - 1)*(d + 1)/3
Suppose 0*g**3 + 12*g - 3*g**3 - 4 + 2*g**4 - 10*g**2 + 3*g**2 + 0*g = 0. Calculate g.
-2, 1/2, 1, 2
Let o(l) be the second derivative of l**5/10 - l**3/3 + 6*l. Factor o(t).
2*t*(t - 1)*(t + 1)
Suppose -i = -3*i - 5*v, -i + 4*v = 0. Let p(g) be the first derivative of 1/3*g**3 + 3 + i*g + g**2. Factor p(b).
b*(b + 2)
Let p(m) = -m**3 - 3*m**2 - 4. Let d be p(-4). What is z in -9*z - d*z**5 + 3*z**4 - 6*z**2 - 2 + 18*z**3 + 5 + 0 + 3*z**5 = 0?
-1, 1/3, 1
Let c be (0 - 5/2)*-2. Find h such that -10/11*h**2 + 50/11*h**3 + 32/11*h**c + 2/11 - 10/11*h + 80/11*h**4 = 0.
-1, 1/4
Suppose 14/5*v**3 + 2/5 - 14/5*v + 22/5*v**2 - 24/5*v**4 = 0. Calculate v.
-1, 1/4, 1/3, 1
Factor 0*t**2 + 0*t - 2/3*t**3 + 4/3*t**4 + 0 - 2/3*t**5.
-2*t**3*(t - 1)**2/3
Find c, given that 2/9*c**4 - 2/9*c - 2/9*c**2 + 2/9*c**3 + 0 = 0.
-1, 0, 1
Let l be 1 + 43 + 4/(-1). Let a be l/10*(-2)/(-4). Determine q so that -2/3*q + 0*q**a + 4/9 + 2/9*q**3 = 0.
-2, 1
Let g(u) be the first derivative of -3/2*u**2 + 9*u - 1/4*u**4 - 2 - 5/3*u**3. Suppose g(f) = 0. Calculate f.
-3, 1
Let b(n) be the first derivative of n**6/300 - 2*n**5/75 + n**4/20 + 5*n**2/2 + 8. Let o(w) be the second derivative of b(w). Let o(q) = 0. Calculate q.
0, 1, 3
Let s be (-2)/5 - (-10)/25. Suppose 5*p - 20 + s = 0. Suppose 1/4*b**2 + 6*b**3 + 4*b**p - 3/2*b + 1/4 = 0. Calculate b.
-1, 1/4
Let 2/7*v - 4/7 + 2/7*v**2 = 0. What is v?
-2, 1
Let p be -1 + (-1)/((-4)/24). Let d(u) = -u**4 + 9*u**3 - 8*u. Let i(k) = -k**4 + 17*k**3 - 16*k. Let a(q) = p*d(q) - 3*i(q). Factor a(m).
-2*m*(m - 1)*(m + 2)**2
Factor 2/3*o - 2/3*o**2 + 0.
-2*o*(o - 1)/3
Let j be 1/5 + (-5)/25. Factor 4/3*o**5 + 0*o**2 + j - 4/3*o**3 + 0*o - 2*o**4.
2*o**3*(o - 2)*(2*o + 1)/3
Suppose 12 - 6 - 6 - 2*s**3 + 4*s**2 = 0. What is s?
0, 2
Let i(p) = p**3 - 9*p**2 + 15*p - 5. Let u be i(7). Find c, given that 0 + 2/5*c + 2/5*c**u = 0.
-1, 0
Suppose 2*z**4 + 0*z**3 - 6*z**4 - 2*z**3 - 2*z**5 = 0. Calculate z.
-1, 0
Let i = -17 - -23. Let p(t) be the third derivative of 2*t**2 - 1/120*t**i - 1/24*t**4 - 1/30*t**5 + 0*t**3 + 0*t + 0. Factor p(n).
-n*(n + 1)**2
Let f(o) be the second derivative of o**7/21 + o**6/15 - o**5/2 + o**4/2 + 3*o. Factor f(a).
2*a**2*(a - 1)**2*(a + 3)
Let z be -2 + (2 + -3 - 6). Let s = z + 11. Determine j so that 10*j**3 - 2*j**2 + 15*j**4 - 6*j**s - j**3 + 2*j**2 = 0.
-1, 0, 2/5
Let l be (-33)/(-11) + (-10)/1. Let z be (-2)/(-5)*(l + 8). Let -z*o**3 + 0*o**2 - 4/5 + 6/5*o = 0. Calculate o.
-2, 1
Solve -3*w**2 + 23*w**3 - 44*w**3 + 22*w**3 = 0.
0, 3
Let c(u) = -u**2 - 6*u + 9. Let n be c(-7). Suppose -3*m - n*o + 15 = -0*m, -2*m - 3 = -3*o. Factor -2*l + 3*l**5 + l - 4*l**5 + 2*l**m.
-l*(l - 1)**2*(l + 1)**2
Factor 1/7*o**3 + 0 + 0*o - 1/7*o**2.
o**2*(o - 1)/7
Let p(t) be the first derivative of 0*t + 2*t**2 - 1/24*t**4 + 1/120*t**5 - 2 + 1/12*t**3. Let b(i) be the second derivative of p(i). Let b(z) = 0. What is z?
1
Find c, given that -2/9*c**5 + 0 + 0*c**2 - 2/9*c**4 + 0*c**3 + 0*c = 0.
-1, 0
Let q(r) = 2*r**4 + 3*r**3 + 3*r**2 + 3*r. Let m(i) = -3*i**4 - 6*i**3 - 5*i**2 - 5*i. Let a(f) = -3*m(f) - 5*q(f). Factor a(n).
-n**3*(n - 3)
Solve 0 - 1/5*x**2 - 2/5*x = 0 for x.
-2, 0
Let w(n) = -6*n - 51. Let d be w(-9). Solve 1/2*s + 0 - 1/2*s**5 + s**4 - s**2 + 0*s**d = 0.
-1, 0, 1
Let o(u) be the second derivative of u**6/6 + u**5/2 - 5*u**4/12 - 5*u**3/3 - 30*u. Factor o(n).
5*n*(n - 1)*(n + 1)*(n + 2)
Let h(i) = i**5 + i**3 - i**2 - i. Let s(j) = 10*j**5 - 6*j**3 - 14*j**2 - 6*j. Let c(x) = 6*h(x) - s(x). Factor c(u).
-4*u**2*(u - 2)*(u + 1)**2
Let y(v) = -v**2. Let d(q) = -3*q**2 - 6*q + 3. Let r(n) = n - 1. Let t(h) = -d(h) - 6*r(h). Let f(b) = t(b) + 6*y(b). Solve f(p) = 0.
-1, 1
Factor 0*m + 0*m**3 + 0*m**4 - 3/7*m**5 + 0 + 0*m**2.
-3*m**5/7
Let q(a) = 4*a**4 - 20*a**2 - 32*a - 16. Let u(m) = -12*m**4 + 61*m**2 + 96*m + 47. Let y(o) = 11*q(o) + 4*u(o). Determine n so that y(n) = 0.
-1, 3
Suppose -5*j - 15 + 6 = -3*w, 4*w - 12 = 0. Let i(m) be the third derivative of 0*m + 1/210*m**5 + 1/21*m**4 + 4/21*m**3 + 4*m**2 + j. What is a in i(a) = 0?
-2
Suppose 17*w - 22*w + 20 = 0. Let l(r) be the third derivative of 3*r**2 - 1/210*r**7 + 0*r**w + 0*r**3 + 0 - 1/240*r**5 + 1/96*r**6 + 0*r. Factor l(y).
-y**2*(y - 1)*(4*y - 1)/4
Suppose 24 = i + 2. Suppose -34 = -5*k + 2*x, -4*x - i = -3*k + 4. Solve -3*u**2 - 12*u**3 - 2*u - k*u**3 - 9*u**2 - 8*u**4 = 0 for u.
-1, -1/4, 0
Let g(u) be the first derivative of -u**5/5 - 9*u**4/8 - u**3 - 5*u**2/2 + 6. Let i(n) be the second derivative of g(n). Factor i(c).
-3*(c + 2)*(4*c + 1)
Let j(y) be the second derivative of y**5/15 + y**4/9 - 16*y**3/9 - 8*y**2 + 33*y. Factor j(h).
4*(h - 3)*(h + 2)**2/3
Let n be (-12)/160*-4*1824/36. Determine k so that n*k**2 - 32/5*k - 16/5 - 28/5*k**3 = 0.
-2/7, 1, 2
Suppose 0 = u + 4*u + 20. Let p be u/(-12)*(-3)/(-2). Solve -3/4*b**4 - 1/4 + 0*b + p*b**5 + b**2 - 1/2*b**3 = 0 for b.
-1, -1/2, 1
Let z be 15/180*4/14. Let r(w) be the second derivative of -1/21*w**3 + z*w**4 + 0 + w + 0*w**2. Factor r(m).
2*m*(m - 1)/7
Let m(k) be the second derivative of k**4/60 - k**3/15 + k**2/10 + 9*k. Factor m(l).
(l - 1)**2/5
Let t = 18 + -14. Let a(z) be the first derivative of -1/6*z**t + 2 - 1/3*z**2 + 0*z + 4/9*z**3. Find s, given that a(s) = 0.
0, 1
Suppose -2*i + 4 = 5*c - 0*c, -10 = -5*i. Suppose -3/2*w**5 + c + 1/2*w**3 - 5/2*w**4 + 5/2*w**2 + w = 0. What is w?
-1, -2/3, 0, 1
Let a be (-57)/(-45) - (-24)/(-40). Factor a*f**3 + 2/3*f**2 - 2/3 - 2/3*f.
2*(f - 1)*(f + 1)**2/3
Let h(n) = n**3 + 51*n**2 + 192*n + 253. Let q(y) = 12*y**3 + 560*y**2 + 2112*y + 2784. Let z(t) = -32*h(t) + 3*q(t). Suppose z(g) = 0. Calculate g.
-4
Let q(b) = 8*b**3 - 4*b - 4. Let r(t) = -7*t**3 + t**2 + 3*t + 3. Let d(g) = -3*q(g) - 4*r(g). Let d(z) = 0. What is z?
0, 1
Factor -4/9 + 4/9*j**5 - 8/9*j**3 + 8/9*j**2 - 4/9*j**4 + 4/9*j.
4*(j - 1)**3*(j + 1)**2/9
Factor 4/7*i**3 - 16/7*i**2 + 20/7*i - 8/7.
4*(i - 2)*(i - 1)**2/7
Factor 5/4*y - 1/4 + 5/2*y**3 - 5/2*y**2 + 1/4*y**5 - 5/4*y**4.
(y - 1)**5/4
Let h be -1 - (3 + 21549/(-21)). Let m = -1019 + h. Factor -2*z**3 - 32/7*z**2 - 4/7 - m*z.
-2*(z + 1)**2*(7*z + 2)/7
Suppose -2*l - 3*l + 955 = 0. Let u = 959/5 - l. Find p, given that 2/5 + u*p + 2/5*p**2 = 0.
-1
Let b(l) be the third derivative of -l**8/6720 + l**7/420 - l**6/60 + l**5/20 + 4*l**2. Let c(w) be the third derivative of b(w). Let c(j) = 0. What is j?
2
Let f be (-12)/(-54) - 1444/18. Let m = f + 163/2. Solve 15/2*c**2 - m*c**3 - 12*c + 6 = 0 for c.
1, 2
Let q be (-7)/(-14)*1/(-6)*-1. Let i(l) be the second derivative of 0 + 0*l**2 + q*l**4 + 3*l - 1/6*l**3. Factor i(y).
y*(y - 1)
Let t(y) be the first derivative of y**4/2 + 4*y**3/3 - y**2 - 4*y + 5. Factor t(v).
2*(v - 1)*(v + 1)*(v + 2)
Let f = -4 - -14. Suppose 5*o + c - f = 0, 3*o - 2 = -2*c - 3. Determine a so that 2/3*a**2 - 2/3*a**4 + 0 + 0*a + 0*a**o = 0.
-1, 0, 1
Suppose -13 = -4*j + 3. Let w be (3/(-2))/(2/j). Let l(p) = -14*p**2 - 14*p. Let o(a) = -5*a**2 - 5*a. Let r(u) = w*l(u) + 8*o(u). Find x such that r(x) = 0.
-1, 0
Let u(w) be the second derivative of 1/12*w**4 + 0 + 1/20*w**5 + 3*w + 0*w**3 + 0*w**2. Let u(f) = 0. Calculate f.
-1, 0
Let m(z) be the first derivative of -2*z + 1 + 1/3*z**3 - 1/2*z**2. What is o in m(o) = 0?
-1, 2
What is m in 336*m**2 - 356*m**3 - 220*m**3 + 192*m**5 - 45*m**5 - 84*m**4 - 22*m - 26*m = 0?
-2, 0, 2/7, 2
Let d be (-7)/14 - (-6)/(-4). Let w be 8 + -3 + d*1. What is j in 1/2*j - 1/2 - 9/2*j**w + 9/2*j**2 = 0?
-1/3, 1/3, 1
Let -96/7*v - 153/7*v**4 - 12/7 - 27/7*v**5 - 309/7*v**3 - 267/7*v**2 = 0. What is v?
-2, -1, -1/3
Let l(x) be the second derivative of x**4/48 - 3*x**3/4 + 81*x**2/8 - 48*x. Factor l(m).
(m - 9)**2/4
Factor 1/4*n + 0 + 11/8*n**2.
n*(11*n + 2)/8
Let x(l) be the first derivative of -l**6/2 - 14*l**5/25 + 9*l**4/10 + 16*l**3/15 - 3*l**2/10 - 2*l/5 - 13. Solve x(y) = 0 for y.
-1, -1/3, 2/5, 1
Let r = -8 + 11. Let t = 2 + 0. Let -2*k - t*k**2 - r*k**2 + 3*k**2 = 0. Calculate k.
-1, 0
Let k(o) = 10*o**2 + 27*o + 43. Let u(z) = -5*z**2 - 14*z - 21. Let c(h) = 6*k(h) + 13*u(h). Factor c(y).
-5*(y + 1)*(y + 3)
Let k(a) be the third derivative of a**7/1365 - a**5/390 + 9*a**2. Suppose k(p) = 0. Calculate p.
-1, 0, 1
Let o = -2