+ 2*x**3/3 - 6*x**2. Factor q(d).
(d + 2)**2
Let c(l) be the second derivative of l**5/5 - l**4/3 + 54*l. Factor c(u).
4*u**2*(u - 1)
Let l be 1 - ((3 - 2) + -12). Suppose -2*n - n + l = 3*q, -2*q - 4*n + 8 = 0. Factor -2*r**2 - 2*r**2 - r - r - 2 + q.
-2*(r + 1)*(2*r - 1)
What is q in 4*q**2 - 4/3*q**4 + 4/3 - 14/3*q + 2/3*q**3 = 0?
-2, 1/2, 1
Let x = -18 - -38. Let w be 2*4/x + 0. Factor 1/5*r**3 + 0 + 3/5*r**2 + w*r.
r*(r + 1)*(r + 2)/5
Suppose -3 + 0 = -m. Factor 0*o**2 + 0*o**2 + 0*o + 3*o**m - 2*o - o**2.
o*(o - 1)*(3*o + 2)
Let p(r) be the second derivative of r**5/30 + 5*r**4/18 + 8*r**3/9 + 4*r**2/3 + 4*r. Determine h, given that p(h) = 0.
-2, -1
Let 0 - 4 + g + 3*g**2 - 7*g - 5 = 0. Calculate g.
-1, 3
Suppose -6 - 26 = 4*b. Let k = 10 + b. What is w in 2/9*w**k + 2/9*w - 4/9 = 0?
-2, 1
Let t = 73 + -291/4. Factor -1/2*n - t - 1/4*n**2.
-(n + 1)**2/4
Let g = 8 - 5. Factor -10*b**2 + 7*b**2 - 2*b**3 + g*b**3 + 2*b.
b*(b - 2)*(b - 1)
Determine j, given that -2*j - 5*j**2 + 5*j - j - 8*j**3 + 6*j**5 - 4*j**4 + 9*j**2 = 0.
-1, -1/3, 0, 1
Let z be 2/(-3)*48/(-128). Factor 3/4*u - z*u**2 - 1/2.
-(u - 2)*(u - 1)/4
Factor -5/6*t + 2/3 + 1/6*t**2.
(t - 4)*(t - 1)/6
Let p(l) be the third derivative of l**6/600 + l**5/300 - l**4/120 - l**3/30 - 12*l**2. Factor p(m).
(m - 1)*(m + 1)**2/5
Suppose 0 = -7*c + 8*c. Suppose c = 6*m - 3*m - 12. Factor 9/2*q**3 - 15/2*q**2 + 3/2*q**m + 3*q + 0 - 3/2*q**5.
-3*q*(q - 1)**3*(q + 2)/2
Suppose 32 = 27*j - 19*j. Let g(f) be the first derivative of 1/8*f**j + 3/4*f**2 - 1/2*f - 1/2*f**3 + 2. Find h such that g(h) = 0.
1
Determine v, given that 2/9*v**2 + 2/3*v - 2/3*v**3 - 4/9 + 2/9*v**4 = 0.
-1, 1, 2
Suppose -4*i + 8 = -0*i. Factor -3*q**2 + i*q**4 + 3*q**2 + 2*q**5 - 4*q**4 + 2*q**2 - 2*q**3.
2*q**2*(q - 1)**2*(q + 1)
Suppose -6 = 8*k - 10*k. Let -k*o + 5*o**2 + 0*o + o**2 - 3*o**3 = 0. What is o?
0, 1
Let l = -6 - -8. Factor -3*r - 2*r**l + 2*r**2 + r**2 + 2.
(r - 2)*(r - 1)
Suppose 9 = -r - 2. Let g = r + 14. Factor -1/2*x**4 + 1/2*x - 1/2 + x**2 + 1/2*x**5 - x**g.
(x - 1)**3*(x + 1)**2/2
Factor -18*q - 8 - 16 + 9 - 3*q**2.
-3*(q + 1)*(q + 5)
Solve -13*v**2 + 5*v + 11*v**2 + 2*v**3 - 6 - 15*v = 0.
-1, 3
Let p be (-1)/8 + (-337)/(-8). Let u be (-4)/p*(6 + -12). Suppose -2/7*l**2 - 2/7 - u*l = 0. What is l?
-1
Let k(z) = 5*z**2 + 3. Let l(d) = 4*d**2 + 2. Let b(y) = -y**2 - 6*y - 1. Let q be b(-5). Let o(f) = q*l(f) - 3*k(f). Factor o(w).
(w - 1)*(w + 1)
Let z(j) = j**2 - j + 1. Let l be z(0). Let d be (l/(-6))/((-9)/27). Let 4 - 6*r - d*r**3 + 3*r**2 = 0. What is r?
2
Let a be (24/(-16))/(1/(-410)). Let t = a + -1823/3. Factor 0 - 4/3*k + t*k**2 - 10*k**3.
-2*k*(3*k - 1)*(5*k - 2)/3
Let v = 8 - 4. Determine a so that 4*a**3 - v*a**4 + 2*a**3 - 4*a**3 + 2*a**5 = 0.
0, 1
Let q = 12 - 14. Let c be q*((-9)/(-6))/(-1). Suppose -2/11*b**2 + 0*b + 2/11*b**4 + 0*b**c + 0 = 0. What is b?
-1, 0, 1
Let s be 475/1800 + (-2)/9. Let f(y) be the first derivative of 1/30*y**5 + 0*y - 1/18*y**3 + 1/12*y**2 + 2 - s*y**4. Suppose f(r) = 0. What is r?
-1, 0, 1
Let w(f) be the first derivative of f**6/6 - 7*f**5/10 + 3*f**4/4 + f**3/6 - f**2/2 + 13. Suppose w(x) = 0. What is x?
-1/2, 0, 1, 2
Let n(f) be the second derivative of -2*f**6/3 - 5*f**5/4 - 5*f**4/12 - 7*f. Let n(c) = 0. What is c?
-1, -1/4, 0
Let z(l) = l**2 - 6*l - 10. Let j be z(8). Suppose -2*y - 68 = -j*y. Find s such that -s + y*s**3 - 9*s**5 - 9*s**5 + 2*s**5 = 0.
-1, -1/4, 0, 1/4, 1
Suppose 0 = -5*a + a. Suppose -6*j**2 + 8 + 25*j**4 + a*j**3 - 6*j**3 - 49*j**3 + 28*j = 0. What is j?
-2/5, 1, 2
Factor 1 + 2 - 3*b**2 + b**2 - 1.
-2*(b - 1)*(b + 1)
Let b(q) be the second derivative of 1/12*q**3 + 0 + 0*q**2 - 1/40*q**5 - 2*q + 1/60*q**6 - 1/24*q**4. Determine r, given that b(r) = 0.
-1, 0, 1
Let u(l) be the third derivative of -1/30*l**5 + 0 + 0*l**3 + l**2 + 0*l**4 + 0*l + 1/60*l**6. Factor u(c).
2*c**2*(c - 1)
Suppose -c + 3*k = 0, 5*k = -4*c - c + 20. Factor -1/4 + 3/4*q + 1/4*q**c - 3/4*q**2.
(q - 1)**3/4
Let m be (5 + -5)/(-3 + 0). Let y(g) be the second derivative of 5/54*g**4 + 0*g**2 + m - g - 2/27*g**3. Let y(c) = 0. Calculate c.
0, 2/5
Factor 0*o + o**2 - 2*o - 22*o**4 - 2*o**3 + 4*o + 21*o**4.
-o*(o - 1)*(o + 1)*(o + 2)
Let d = 60 + -58. Let a(v) be the first derivative of -2*v + 2 - 2*v**d - 2/3*v**3. Factor a(p).
-2*(p + 1)**2
Let -2/11*i**4 + 6/11*i**5 + 0 - 6/11*i**2 - 18/11*i**3 + 4/11*i = 0. What is i?
-1, 0, 1/3, 2
Let g be 4/((2 + 0)*1). Solve v**g + 2 + 2*v + 0*v**2 + v = 0.
-2, -1
Let x(u) be the third derivative of -u**8/168 + 8*u**7/315 + 4*u**6/15 + 11*u**5/15 + 35*u**4/36 + 2*u**3/3 - 39*u**2. Suppose x(y) = 0. What is y?
-1, -1/3, 6
Factor 3/5*r + 9/5*r**2 + 0.
3*r*(3*r + 1)/5
Let x(j) be the third derivative of j**8/2352 + j**7/210 + j**6/56 + 13*j**5/420 + j**4/42 - 7*j**2 + 2. Solve x(n) = 0.
-4, -1, 0
Let x(u) be the second derivative of -u**9/15120 + u**8/6720 + u**7/2520 - u**6/720 - u**4/12 - 2*u. Let v(c) be the third derivative of x(c). Factor v(t).
-t*(t - 1)**2*(t + 1)
Let w = 4 + -1. Suppose -3*j - w = -4*j. Determine z, given that -4 - 5*z**3 + z**j + 9*z**2 - 3*z**3 + 12*z = 0.
-1, 2/7, 2
Let o(q) be the third derivative of q**8/84 - 2*q**7/21 + 3*q**6/10 - 7*q**5/15 + q**4/3 + 7*q**2. Solve o(d) = 0.
0, 1, 2
Let v be -3*(1 + (-21)/9). Let 4*d**3 + 2*d**5 + 6*d**2 - 1 + 3 - 6*d**v - 2*d**2 - 6*d = 0. Calculate d.
-1, 1
Let t = 1/58 + 113/174. Let v(r) = -r**3 - 5*r**2 - 8*r - 14. Let x be v(-4). Suppose 2*z - 2*z**x - t + 2/3*z**3 = 0. What is z?
1
Determine f so that 6*f**2 + 8*f**2 + 2*f**3 - 20*f**2 = 0.
0, 3
Let n be ((-4)/(-3) + -2)/((-4)/18). Let j be 24/154*(-28)/(-8). Factor -j*l**n - 4/11 + 2/11*l + 8/11*l**2.
-2*(l - 1)**2*(3*l + 2)/11
Factor 45*q**2 + 2*q**4 - 1 - 3*q**4 + 6*q**4 + 35*q + 25*q**3 + 11.
5*(q + 1)**3*(q + 2)
Let r(s) = s**2 + s. Let w(g) = g**2 + 3*g + 2. Let v(u) = -6*r(u) + 2*w(u). Factor v(h).
-4*(h - 1)*(h + 1)
Suppose 3*a = 15 + 3. Let m = -6 + a. Factor 0 + 0*i**4 + 2/7*i**5 + m*i**2 - 2/7*i**3 + 0*i.
2*i**3*(i - 1)*(i + 1)/7
Suppose 2*p + p = -63. Let n be 1/(-2) + p/(-6). Find f such that 0 + 0*f - 3/4*f**2 - 3/4*f**n = 0.
-1, 0
Let d = -8 - -17. Let v(o) = 8*o**2 - 25*o - 33. Let q(n) = -2*n**2 + 6*n + 8. Let p(z) = d*q(z) + 2*v(z). Factor p(j).
-2*(j - 3)*(j + 1)
Let r(q) be the first derivative of -q**4/16 + q**3/4 - 3*q**2/8 + q/4 + 1. Factor r(g).
-(g - 1)**3/4
Factor u**4 + 10*u**5 - 5*u**5 - 4*u**5 - u**3 - u**2.
u**2*(u - 1)*(u + 1)**2
Let r = 38 - 44. Let q be r/(-2) - 66/24. Let -1/2*z**3 + 0 - 1/4*z**4 - q*z**2 + 0*z = 0. What is z?
-1, 0
Let y = 38 + -66. Let b be (-12)/(-9)*(-12)/y. Factor -b*h + 0 + 2/7*h**2.
2*h*(h - 2)/7
Let s(z) be the first derivative of 2*z**3/15 + 2*z**2/5 + 10. Determine o so that s(o) = 0.
-2, 0
Let h(y) = 3*y**4 - 15*y**3 - 27*y**2 + 15*y + 24. Let b(m) = m**3 + m**2 - m - 1. Let l(r) = -18*b(r) - h(r). Factor l(j).
-3*(j - 1)**2*(j + 1)*(j + 2)
Let v be 2/(-4) + -2 + (-14)/(-4). Let p(a) be the first derivative of 0*a**3 - a**2 + 0*a + v + 1/2*a**4. Suppose p(m) = 0. Calculate m.
-1, 0, 1
Find x, given that -12*x**2 + 11*x - 14 - 6*x + 11*x + 10*x**2 = 0.
1, 7
Factor 0 + 9*n**4 - 2*n - n + 9*n - 6*n**3 - 8*n**2 - 1.
(n - 1)*(n + 1)*(3*n - 1)**2
Find h such that 0 - 1/2*h**2 + 1/2*h**5 + 0*h - 1/2*h**3 + 1/2*h**4 = 0.
-1, 0, 1
Let d be -3*(33/(-9) + 2). Let q = d - 3. Solve 0*u - 1/4*u**4 - 1/2*u**3 + 0 - 1/4*u**q = 0.
-1, 0
Suppose 0 = 87*k - 118*k. Solve k + 2/9*r - 2/3*r**2 - 2/9*r**4 + 2/3*r**3 = 0.
0, 1
Let w(t) be the third derivative of 5*t**8/336 - 4*t**7/21 + t**6/4 + 10*t**5/3 + 125*t**4/24 + 30*t**2. Factor w(m).
5*m*(m - 5)**2*(m + 1)**2
Let i be (-2 - -7)/10 + 0. Factor 3/2*n**2 - 1/2*n + 0 + i*n**4 - 3/2*n**3.
n*(n - 1)**3/2
Factor -1/3*w**2 + 1/3*w**4 - 2/3*w**3 + 2/3*w + 0.
w*(w - 2)*(w - 1)*(w + 1)/3
Let u(f) be the second derivative of -4*f**4/21 + 2*f**3/7 + 2*f**2 - 3*f - 9. Factor u(w).
-4*(w + 1)*(4*w - 7)/7
Let p(n) = -n**2 - 3*n - 1. Let z be p(-4). Let x be 15*z*(-8)/500. Determine d so that -3/5*d**2 - x*d - 3/5 = 0.
-1
Let r(a) be the first derivative of a**4/30 + 2*a**3/15 + a**2/5 + 5*a + 6. Let f(k) be the first derivative of r(k). Solve f(u) = 0 for u.
-1
Suppose 16/7*l + 19/7*l**3 + 25/7*l**2 + 1/7*l**5 + l**4 + 4