/40*u**5 + 0 + 1/48*u**4. Factor d(p).
p*(p + 1)*(2*p - 1)/4
What is o in 3*o**5 + 2*o**4 + 3*o**5 - 4*o**3 + 0*o**4 = 0?
-1, 0, 2/3
Let w(d) be the first derivative of 2*d**6/3 - 4*d**5/5 - 3*d**4 + 20*d**3/3 - 4*d**2 - 4. Let w(k) = 0. What is k?
-2, 0, 1
Suppose 90*h**4 + 3*h**2 - 16 + 16*h**3 - 86*h**4 + 9*h**2 - 16*h = 0. What is h?
-2, -1, 1
What is i in 4*i + 2/3 + 8/3*i**3 + 6*i**2 = 0?
-1, -1/4
Factor 5*b + b**2 + 5*b - b**2 + 5*b**2.
5*b*(b + 2)
Let s = 317 + -2216/7. Determine b so that -3/7*b**4 + 0*b + 0 - s*b**3 + 0*b**2 = 0.
-1, 0
Suppose -3*r + 2*r = -2. Factor 2 - k**2 - k**4 + k**5 - 2 - k**3 + r*k**2.
k**2*(k - 1)**2*(k + 1)
Let l(x) = -4*x**3 + 8*x**2 - 4*x + 4. Let y(d) = -8*d**3 + 15*d**2 - 7*d + 7. Let q(w) = -7*l(w) + 4*y(w). Factor q(j).
-4*j**2*(j - 1)
Let x(s) = -18*s**4 - 8*s**3 + 10*s**2 + 8*s + 4. Let c(a) = -a**4 - a**3 - a**2 + a + 1. Let g(r) = -4*c(r) + x(r). Factor g(v).
-2*v*(v - 1)*(v + 1)*(7*v + 2)
Let n(c) be the second derivative of -81*c**5/10 - 21*c**4 + 68*c**3/3 - 8*c**2 + 2*c - 1. Suppose n(s) = 0. What is s?
-2, 2/9
Factor -11*u**2 + 11*u**2 + 14*u**2 + 11*u**2 + 30 + 85*u.
5*(u + 3)*(5*u + 2)
Let 116*o**3 - 52*o**3 - 59*o**3 - 30*o**2 = 0. Calculate o.
0, 6
Let s(b) be the third derivative of b**6/90 - 2*b**5/45 - 2*b**4/9 + 16*b**3/9 - 9*b**2. Factor s(k).
4*(k - 2)**2*(k + 2)/3
Let d be -8*(-1 + 3)/(-8). Factor d*b - 2/3*b**2 - 4/3.
-2*(b - 2)*(b - 1)/3
Let w be (-2)/(-4)*0/2. Let r(m) be the second derivative of w + 0*m**3 + 1/15*m**6 + 1/10*m**5 + 0*m**4 - m + 0*m**2. Find o, given that r(o) = 0.
-1, 0
Let s(h) = -h + 10. Let l be s(8). Suppose 0 = -l*t - 0*t. Factor 0*m**2 + t - 2/7*m**3 + 0*m.
-2*m**3/7
Let c be ((-5)/3)/((-18)/54). Suppose -5*b = -q + 4*q - 19, -2*b = -2*q + 18. Factor 2*x**c - 4*x**3 + 2*x - q*x**2 + 8*x**2.
2*x*(x - 1)**2*(x + 1)**2
Factor -7*i**2 + 22*i + 0*i - 16*i**2 - 8*i**3 - 6 + 7*i**2.
-2*(i + 3)*(2*i - 1)**2
Suppose 0*m**2 + 0 + 0*m - 2/7*m**3 = 0. What is m?
0
Let x(m) be the first derivative of -m**5/30 + m**4/6 - m**3/3 - m**2 - 5. Let b(c) be the second derivative of x(c). Factor b(g).
-2*(g - 1)**2
Let d(u) be the second derivative of -u**4/12 - 7*u**3/6 - 2*u**2 + 3*u. Let l be d(-6). Factor -l*j**3 - 4*j**2 + 4*j**2 - 4*j**2 + 2*j**2.
-2*j**2*(j + 1)
Let l = 14 - 7. Let o be (1/2)/(-6 + l). Determine s, given that 1/4*s**2 - o - 1/4*s = 0.
-1, 2
Let i = 7/3 + 1. Find r such that 0 + 0*r - i*r**5 + 4/3*r**3 + 2*r**4 + 0*r**2 = 0.
-2/5, 0, 1
Solve 16 + 150*f**3 + 30*f - 145*f**2 - 35*f**4 - 16 = 0.
0, 2/7, 1, 3
Let z(w) be the first derivative of -w**7/5460 + w**6/780 - w**5/390 - w**3/3 + 3. Let j(p) be the third derivative of z(p). Let j(t) = 0. What is t?
0, 1, 2
Suppose 5*p - j - j - 7 = 0, 19 = p + 4*j. Let q(l) be the first derivative of -1/4*l**2 - 2 + 1/12*l**p + 1/4*l. Determine b, given that q(b) = 0.
1
Suppose -4*v = -8, -2*z = -0*z - 3*v + 2. Factor 2*h**2 - h**3 + 0*h - z + 3*h - 2*h.
-(h - 2)*(h - 1)*(h + 1)
Suppose -6*c**3 - 14*c**3 - 13*c**4 + 28*c**4 - 20*c**2 = 0. What is c?
-2/3, 0, 2
Let q = -878/5 + 176. Solve 4/5*h**4 - 4/5*h**2 + 0*h**3 - 2/5*h + q*h**5 + 0 = 0 for h.
-1, 0, 1
Determine y, given that 8/19*y - 6/19*y**3 + 0 + 8/19*y**2 = 0.
-2/3, 0, 2
Let b = -170 + 1195/7. Let r = -3/14 + b. Solve -1/2*z**3 - 7/4*z**2 + 7/4*z**4 + 0 + r*z = 0 for z.
-1, 0, 2/7, 1
Let s = 4 + -2. Let r = 11 + -7. Find v, given that -3*v - 2*v**s + r*v - 2 - 5*v = 0.
-1
Let q = 14 - -12. Let r = -5 - -8. Factor -q*i**4 + 2*i**2 + r - 3 - 4*i + 10*i**5 + 18*i**3.
2*i*(i - 1)**3*(5*i + 2)
Let b(c) = -20*c**3 + 32*c**2 - 12*c. Let w(x) = -x**4 + 20*x**3 - 32*x**2 + 13*x. Let o(a) = -3*b(a) - 4*w(a). Factor o(v).
4*v*(v - 2)**2*(v - 1)
Suppose 1 = 3*r - 5. Suppose 3 = o + 1. Solve r*g**2 + 2*g + 9*g**3 - 53*g**3 - 42*g**4 + o*g = 0.
-1, -1/3, 0, 2/7
Suppose 4*z + 1 = -2*i + 5*z, -z + 1 = 0. Let a(h) be the third derivative of 1/60*h**5 + i*h**4 + 2*h**2 + 0 + 0*h + 0*h**3. Suppose a(g) = 0. What is g?
0
Let y(w) be the first derivative of -w**2/2 - w + 2. Let s be y(-5). What is b in 36*b**2 - 5*b**3 + 17*b - 48*b**5 - 18*b**3 - 88*b**s + 4 + 4*b**3 - 2 = 0?
-1, -1/4, 2/3
Let s be 4 + -3 + 4 + -1. Suppose s*d = 5*d. Factor -2/9*i**2 + d*i + 0.
-2*i**2/9
Suppose 21*s = -16*s + 10*s. Factor s*r + 3/2*r**3 - r**2 - 1/2*r**4 + 0.
-r**2*(r - 2)*(r - 1)/2
Suppose 0 = -4*i - 3 + 31. Let t(o) = -93*o**2 + 80*o - 23. Let w(r) = -46*r**2 + 40*r - 12. Suppose 0 = 4*a + a + 20. Let f(g) = a*t(g) + i*w(g). Factor f(b).
2*(5*b - 2)**2
Let b be 27 + (-3)/(-3) - 0. Let y = b - 83/3. Let 4/3*j + y*j**3 + 0 - 4/3*j**2 = 0. Calculate j.
0, 2
Let j(k) be the third derivative of 1/240*k**6 + 0 - 1/1260*k**7 - 1/72*k**4 + 1/360*k**5 + 5*k**2 + 0*k - 1/2016*k**8 + 0*k**3. Let j(u) = 0. What is u?
-2, -1, 0, 1
Suppose -38*g + 45*g = 0. Factor 0 + 0*u + g*u**3 + 1/5*u**4 + 0*u**2.
u**4/5
Let l be ((-4)/10)/(63/35 + -2). Factor -2/5*n**5 + 0*n**l - 4/5*n**4 - 2/5*n**3 + 0 + 0*n.
-2*n**3*(n + 1)**2/5
Suppose -3*a + a = 0. Suppose a*z - 4*s - 8 = 2*z, -4*s - 8 = 0. Factor -3/4*n**4 + 3/4*n**2 + 1/4*n - 1/4*n**3 + z.
-n*(n - 1)*(n + 1)*(3*n + 1)/4
Let q(j) be the third derivative of -j**10/75600 + j**9/15120 - j**7/1260 + j**6/360 + j**5/20 - 2*j**2. Let i(p) be the third derivative of q(p). Factor i(k).
-2*(k - 1)**3*(k + 1)
Let i = -2/5 - -9/10. Factor -i*l**2 - 3/2*l - 1.
-(l + 1)*(l + 2)/2
Let k(f) = -11*f**3 - 3*f - 2. Let q be k(-1). Suppose -4*h + 0*h = -q. Factor 0 + 0*a + 1/5*a**h + 0*a**2 - 1/5*a**4.
-a**3*(a - 1)/5
Let g(q) be the first derivative of 3*q**6/4 + 3*q**5/5 - 29*q**4/8 + q**3/3 + 5*q**2 - 4*q + 16. Solve g(l) = 0.
-2, -1, 2/3, 1
Suppose 3/4*f**2 - 3/4*f + 0 = 0. Calculate f.
0, 1
Let h be (2 + 1)*(-4)/(-3). Suppose h + 1 = i. Factor k**i - 2*k**3 + k - 3 + 3.
k*(k - 1)**2*(k + 1)**2
Let s(q) be the second derivative of 1/60*q**6 + 1/20*q**5 - 1/12*q**4 - 1/12*q**3 - 1/84*q**7 - 8*q + 0 + 1/4*q**2. Factor s(w).
-(w - 1)**3*(w + 1)**2/2
Let q(r) be the second derivative of -r**6/10 + r**4/2 - 3*r**2/2 - 50*r. Factor q(b).
-3*(b - 1)**2*(b + 1)**2
Let b(h) be the first derivative of -4*h**3/3 + 4*h**2 - 22. Suppose b(s) = 0. What is s?
0, 2
Factor -2/15*g**2 + 0 + 2/15*g**4 + 2/15*g**3 - 2/15*g.
2*g*(g - 1)*(g + 1)**2/15
Let z(p) be the third derivative of -p**7/630 + p**6/360 + p**5/90 - 12*p**2. Factor z(c).
-c**2*(c - 2)*(c + 1)/3
Let y(i) = 3*i**5 - 12*i**4 - 9*i**3 + 3*i**2 - 3*i - 9. Let f(h) = -h**5 + 6*h**4 + 4*h**3 - 2*h**2 + h + 4. Let r(s) = 9*f(s) + 4*y(s). Factor r(g).
3*g*(g - 1)*(g + 1)**3
Suppose -t = -2*t + 2. Determine h, given that 2/3*h + 1/3*h**t + 1/3 = 0.
-1
Let p(r) be the first derivative of -15/4*r**4 - 2 - 21/2*r**2 + 3/5*r**5 + 6*r + 9*r**3. Determine y, given that p(y) = 0.
1, 2
Let h(m) be the first derivative of -4*m**5/3 + 25*m**4/12 + 5*m**3/3 - 25*m**2/6 + 5*m/3 + 7. Determine y so that h(y) = 0.
-1, 1/4, 1
Let b(m) be the third derivative of -m**6/150 + 2*m**5/75 - m**4/30 - 4*m**2. Find v, given that b(v) = 0.
0, 1
Suppose 3*g = 6*g + 36. Let t be (-4)/6*g/8. Suppose -7*p**2 - 5*p + p + 3*p + p**3 + t + 6*p**4 = 0. Calculate p.
-1, -1/2, 1/3, 1
Suppose -6*y = -834 + 246. Let s be ((-4)/y)/((-1)/7). Factor 2/7*v**3 - 2/7*v - 2/7 + s*v**2.
2*(v - 1)*(v + 1)**2/7
Factor 4/7*i**4 + 0 + 4/7*i**5 - 8/7*i - 20/7*i**2 - 12/7*i**3.
4*i*(i - 2)*(i + 1)**3/7
Let b(g) be the first derivative of -g**6/36 - g**5/10 + g**4/6 + 26. Determine l so that b(l) = 0.
-4, 0, 1
Factor 9*m + m**3 + 18*m + 27 + 0*m - 17*m**2 + 26*m**2.
(m + 3)**3
Let j(i) be the third derivative of 0*i - 1/30*i**6 + 0*i**3 - 1/15*i**5 - 4*i**2 + 0*i**4 + 0. Factor j(w).
-4*w**2*(w + 1)
Let r(j) be the third derivative of -j**6/660 - 2*j**5/165 - j**4/44 + 7*j**2. Factor r(u).
-2*u*(u + 1)*(u + 3)/11
Factor m + 12*m**3 + 8 - 2*m - 11*m - 4*m**4 - 10*m**2 + 6*m**2.
-4*(m - 2)*(m - 1)**2*(m + 1)
Factor -1/5*g**4 + 0*g**2 + 0 + 3/5*g**3 - 4/5*g.
-g*(g - 2)**2*(g + 1)/5
Let u be (-6)/8 - 55/44. Let p be -3*-2*u/(-6). Determine y, given that -1 + 2*y**2 - y**4 + p*y - 2*y = 0.
-1, 1
Let o(i) be the second derivative of -i**6/6 + 5*i**4/12 - 18*i. Find a such that o(a) = 0.
-1, 0, 1
Let m(s) = -s**3 - 5*s**2 - 5*s - 1. Let l be m(-4). Solve -l*i**3 - 6*i**3 + 0*i**2 - 2*i**2 