y**2 - 4/17*y + 2/17*y**3 + 0 = 0.
-1, 0, 1, 2
Let v be 1/(-5) + 0 + (-2540)/(-700). Suppose 18/7*f**5 + v*f**2 + 0 - 10/7*f**3 - 8/7*f - 24/7*f**4 = 0. Calculate f.
-1, 0, 2/3, 1
Let b(h) = -16*h**4 + 24*h**3 + 6*h**2 - 16*h + 18. Let i(y) = y**4 - y**3 + y - 1. Let x(f) = 2*b(f) + 36*i(f). Factor x(v).
4*v*(v + 1)**3
Let k(h) be the first derivative of 9/25*h**5 + 8/5*h**4 + 56/15*h**3 + 16/5*h - 2 + 1/30*h**6 + 24/5*h**2. Solve k(o) = 0.
-2, -1
Let s be (-5)/25 + 87/35 + -2. What is o in -6/7*o**3 - 6/7*o**4 - s*o**2 + 0 - 2/7*o**5 + 0*o = 0?
-1, 0
Solve -2*f**3 - 7*f**3 - 10 - 4*f**3 + 15*f + 5*f**2 + 5*f**4 - 2*f**3 = 0 for f.
-1, 1, 2
Suppose c + 3*o + 6 = 0, -c - 6 = c + 4*o. Factor 0 - 8*f**2 + 8 + f**3 - 4*f + c*f**3.
4*(f - 2)*(f - 1)*(f + 1)
Let m(l) be the second derivative of 1/8*l**3 + 0 + 3/4*l**2 - 1/16*l**4 + 4*l. Determine q, given that m(q) = 0.
-1, 2
Factor 1/3*l**2 - 2/3 - 1/3*l.
(l - 2)*(l + 1)/3
Let n(r) be the first derivative of -4*r**3/15 + r**2/10 - 2. Determine q, given that n(q) = 0.
0, 1/4
Let g be ((-12)/(-45))/(18/15). Factor 0 + 0*r**4 - g*r**5 + 0*r + 0*r**2 + 2/9*r**3.
-2*r**3*(r - 1)*(r + 1)/9
Let a = -28/5 - -31/5. Solve 0 - 3/5*z + 0*z**2 + a*z**3 = 0 for z.
-1, 0, 1
Let q(f) be the third derivative of -f**7/735 + f**6/420 - 16*f**2. Factor q(h).
-2*h**3*(h - 1)/7
Find h, given that -8*h**2 + 8*h + 20*h**2 - 11*h**4 - h**4 + 8*h**4 = 0.
-1, 0, 2
Let q(h) be the first derivative of -1/20*h**4 + 1/5*h**3 - 1/5*h**2 + 0*h + 6. Determine f, given that q(f) = 0.
0, 1, 2
Let x(g) be the third derivative of g**6/40 - 3*g**5/20 + g**4/4 + 3*g**2. Factor x(y).
3*y*(y - 2)*(y - 1)
Let i(o) = o**2 + 9*o - 3. Let r be i(-10). Let f = r - 7. Factor f*t**2 - 20/3*t**3 - 4/3 + 10/3*t + 20/3*t**4 - 2*t**5.
-2*(t - 1)**4*(3*t + 2)/3
Determine g so that 0*g - 16/3 + 4/3*g**2 = 0.
-2, 2
Let d(q) be the third derivative of -q**6/120 + q**5/12 - q**4/6 + 8*q**2. Let o be d(4). Let -2/3*n + o + 0*n**2 + 2/3*n**3 = 0. Calculate n.
-1, 0, 1
Let w(r) be the second derivative of -1/60*r**4 - 5*r + 1/10*r**3 + 0 - 1/5*r**2. Let w(h) = 0. What is h?
1, 2
Suppose -5*z = -40 - 100. Factor 0 - z + 3*f**2 - 6*f**2 + 1 - 18*f.
-3*(f + 3)**2
Suppose -f = 2*t - 6*t + 9, -2*t + 3*f + 7 = 0. Factor -1/4*d**4 + 0*d**3 + 0 - 1/8*d + 1/4*d**t + 1/8*d**5.
d*(d - 1)**3*(d + 1)/8
Suppose 5*z = 2*b + 2*b - 13, 2*z + 2 = 0. Determine n so that -2/5 - 3/10*n + 1/10*n**b = 0.
-1, 4
Factor 3*m + 2*m**3 - m**2 - 3*m**3 - m.
-m*(m - 1)*(m + 2)
Let o(q) be the second derivative of q**4/60 - 2*q**2/5 + 5*q. Factor o(w).
(w - 2)*(w + 2)/5
Let j(u) be the third derivative of -4*u**2 + 0*u + 0 + 1/21*u**3 + 1/56*u**4 + 1/420*u**5. Let j(o) = 0. What is o?
-2, -1
Suppose -4/3*d**4 + 0 + 16*d**3 + 16/3*d**2 + 0*d - 20*d**5 = 0. What is d?
-2/3, -2/5, 0, 1
Let t(o) be the first derivative of 1/12*o**4 + 1/30*o**5 + 1/18*o**3 + 0*o + 0*o**2 + 4. Factor t(x).
x**2*(x + 1)**2/6
Determine k, given that -2*k**3 + 2*k**4 - 5*k**2 + 2*k - 5*k**2 - 8*k**2 + 4 + 12*k**2 = 0.
-1, 1, 2
Let f(q) = 8*q**3 - q**2 - q + 2. Let z be f(1). Suppose 43*s = 47*s - z. Factor 1/2*o + 0*o**s + 1/4*o**4 - 1/4 - 1/2*o**3.
(o - 1)**3*(o + 1)/4
Let a(w) = -w**2 + 0 - 2 - 4*w + 4 + 2*w. Let z(n) = -n**2 - n + 1. Let o(h) = -2*a(h) - 4*z(h). Find j such that o(j) = 0.
-2, 2/3
Let v(i) be the first derivative of i**4/3 - 16*i**3/9 + 2*i**2/3 + 8*i + 25. Factor v(t).
4*(t - 3)*(t - 2)*(t + 1)/3
Factor 6/13*v**3 - 2/13*v**5 - 10/13*v**2 + 2/13*v**4 + 0 + 4/13*v.
-2*v*(v - 1)**3*(v + 2)/13
Let i(g) = 2*g**2 + 39*g + 47. Let l(j) = -3*j**2 - 39*j - 48. Let a(f) = 6*i(f) + 5*l(f). Factor a(m).
-3*(m - 14)*(m + 1)
Let i(a) be the second derivative of -a**5/60 - a**4/6 - 2*a**3/3 + a**2 + a. Let q(b) be the first derivative of i(b). Factor q(k).
-(k + 2)**2
Suppose -3*t - 8 = -2*t + 3*w, 3*t = 3*w + 36. Let p = 0 + 3. Factor -2*l**p - t*l**4 - 3*l**5 - 2*l**5 + 0*l**3.
-l**3*(l + 1)*(5*l + 2)
Factor 0*f + 2/3 - 2/3*f**2.
-2*(f - 1)*(f + 1)/3
Let r(v) be the first derivative of -2*v**3/21 - 2*v**2/7 + 1. Find z such that r(z) = 0.
-2, 0
Let w(y) be the second derivative of -y**6/135 - y**5/90 + 17*y. Determine d, given that w(d) = 0.
-1, 0
Let x(o) be the third derivative of -o**9/181440 - o**8/30240 - 3*o**5/20 + 8*o**2. Let u(z) be the third derivative of x(z). Factor u(r).
-r**2*(r + 2)/3
Suppose 2*z = -0 + 6. Let s(o) be the first derivative of -1/5*o**3 + 6/5*o**2 + z - 12/5*o. Let s(l) = 0. Calculate l.
2
Factor -8*x**2 - 4*x - 1/2.
-(4*x + 1)**2/2
Suppose 0 = -2*l - 5*r - 13, 0*l + l + 12 = 3*r. Let q(h) = -h**3 - 9*h**2 - 2*h - 13. Let m be q(l). Solve -2*k + m - 6 + 0*k**2 - k**2 = 0 for k.
-1
Let m be (-12)/20 + (-86)/(-10). Suppose 3*v + k = 20, -k = -2*v - 3 + m. Determine h, given that 2 + v*h - 2*h**2 - 2*h**3 - 4*h + h**3 = 0.
-2, -1, 1
Let v(t) be the first derivative of -3 + 1/24*t**6 + 0*t + 0*t**2 + 0*t**5 + 0*t**4 + 0*t**3. Let v(g) = 0. Calculate g.
0
Factor a**5 - 6*a**3 - a**4 - 3*a - 2*a**4 + 4*a**2 - a**4 + 8*a**3.
a*(a - 3)*(a - 1)**2*(a + 1)
Let g(z) be the second derivative of z**4/20 - 3*z**3/10 - 20*z. Factor g(l).
3*l*(l - 3)/5
Let o(c) be the third derivative of c**9/120960 - c**8/20160 + c**5/20 - 4*c**2. Let m(l) be the third derivative of o(l). Factor m(x).
x**2*(x - 2)/2
Let b = -137/3 - -46. Let h(s) be the first derivative of 3 - 1/2*s**2 + b*s**3 - 2*s. Suppose h(y) = 0. Calculate y.
-1, 2
Let y(m) be the second derivative of 0 + 0*m**4 + 0*m**2 + 2*m + 0*m**3 - 1/40*m**5. What is d in y(d) = 0?
0
Determine n so that -48/13*n**2 + 0 + 2/13*n**5 + 2/13*n**3 + 12/13*n**4 + 32/13*n = 0.
-4, 0, 1
Let m = 11 + -11. Suppose m*p = 2*p. Factor 0*y**2 + 0*y + p*y**4 + 1/4*y**3 + 0 - 1/4*y**5.
-y**3*(y - 1)*(y + 1)/4
Suppose -5*b + 237 = r + 30, -685 = -3*r + b. Let u = r - 1131/5. Determine s so that 37/5*s**2 + u + 24/5*s + 21/5*s**3 + 4/5*s**4 = 0.
-2, -1, -1/4
Determine u, given that 6/11 + 2/11*u**2 + 8/11*u = 0.
-3, -1
Factor 2/3*y + 2 - 2/3*y**3 - 2*y**2.
-2*(y - 1)*(y + 1)*(y + 3)/3
Suppose 0 + 3/7*y + 0*y**2 + 0*y**4 - 6/7*y**3 + 3/7*y**5 = 0. What is y?
-1, 0, 1
Let u(d) be the third derivative of d**5/180 + d**4/72 - d**3/9 + 6*d**2. Find a such that u(a) = 0.
-2, 1
Let o(t) be the first derivative of -t**6/260 - t**5/390 + t**4/78 + 4*t**2 - 5. Let y(m) be the second derivative of o(m). Solve y(b) = 0.
-1, 0, 2/3
Let f(j) be the third derivative of -j**8/840 + 4*j**7/525 - j**6/50 + 2*j**5/75 - j**4/60 - 8*j**2. Determine n, given that f(n) = 0.
0, 1
Suppose -5*q + 11 = 1. Let v(j) be the first derivative of 2 + 2*j + 9/2*j**q + 4/3*j**3. What is i in v(i) = 0?
-2, -1/4
Let i(t) be the third derivative of -2*t**7/525 + t**6/10 - t**5 + 25*t**4/6 - 17*t**2. Let i(f) = 0. Calculate f.
0, 5
Let k(a) be the first derivative of -a**5/5 + a**3/3 - a**2/2 + a + 2. Let t(o) = 3*o**3 + 12*o**2 + 9*o - 12. Let r(c) = -6*k(c) - t(c). Factor r(p).
3*(p - 2)*(p + 1)**2*(2*p - 1)
Let r(l) be the first derivative of -l**9/4536 - l**8/2520 + l**7/1260 + l**6/540 - l**3/3 + 2. Let p(b) be the third derivative of r(b). Solve p(c) = 0 for c.
-1, 0, 1
Let v(n) = -n**2 + 13*n + 18. Let w(s) = 3*s**2 - 51*s - 70. Let z(m) = 22*v(m) + 6*w(m). Factor z(j).
-4*(j + 2)*(j + 3)
Let w(i) be the first derivative of -i**5 - 15*i**4/2 - 15*i**3 + 21. What is j in w(j) = 0?
-3, 0
Factor -12/17*q - 2/17*q**3 - 10/17*q**2 + 0.
-2*q*(q + 2)*(q + 3)/17
Let j(w) = 2*w**2 - 2*w + 2. Let g be j(3). Suppose -3*f - 1 = g, 3*d = 4*f + 26. Factor 3 - 3 + 2*p**3 + 2*p**4 - 2*p - d*p**2.
2*p*(p - 1)*(p + 1)**2
Let w(g) be the third derivative of g**6/30 + g**5/60 - g**4/6 - g**3/6 - 4*g**2. Suppose w(j) = 0. Calculate j.
-1, -1/4, 1
Let l(r) = -r**3 - r**2 + r - 1. Let a(f) = 24*f**3 + 56*f**2 - 36*f - 20. Let x(p) = -a(p) - 12*l(p). Factor x(m).
-4*(m - 1)*(m + 4)*(3*m + 2)
Let c(m) be the third derivative of 0 - 8*m**2 + 1/10*m**6 + 0*m**5 - 4/105*m**7 + 0*m**3 + 0*m + 0*m**4 - 1/84*m**8. Determine q so that c(q) = 0.
-3, 0, 1
Let u(k) be the second derivative of k**4/60 - k**3/15 - 3*k**2/10 - 10*k. Factor u(x).
(x - 3)*(x + 1)/5
Let q be (0 - -5)*16/40. Factor -5*u**2 - 2*u**4 - 7*u**q - 2*u**3 + 6*u**2 + 4*u**4 - 4 + 10*u.
2*(u - 1)**3*(u + 2)
Let o(h) = -h**2 - 7*h - 2. Let a be o(-6). Let a*c