4 + p**3 - 3/2*p. Suppose f(v) = 0. What is v?
-1, 1
Determine q so that -2/3*q**3 + 0 + 0*q + 1/3*q**5 + 0*q**2 + 1/3*q**4 = 0.
-2, 0, 1
Let y be (16/(-40))/(34/(-10) + 2). Let o(p) be the first derivative of 0*p + y*p**2 - 2/21*p**3 - 1. Factor o(n).
-2*n*(n - 2)/7
Suppose -12 = 4*y - 7*y + 3*a, 0 = -4*y + 2*a + 26. Let g(j) = -j**3 + 8*j**2 + 11*j - 12. Let o be g(y). Factor -h - 7*h + o*h - 3*h**3 - 3*h**2 + 2*h**3.
-h*(h + 1)*(h + 2)
Factor -22/7*c - 4/7 + 22/7*c**3 + 4/7*c**2.
2*(c - 1)*(c + 1)*(11*c + 2)/7
Let q = -254 + 764/3. Factor 1/3*s + 5/3*s**3 - 8/3*s**2 + q.
(s - 1)**2*(5*s + 2)/3
Factor 1/4*q**2 + 0 + 1/2*q**3 - 1/4*q**4 - 1/2*q.
-q*(q - 2)*(q - 1)*(q + 1)/4
Let v(x) = 12*x**4 + 43*x**3 + 36*x**2 + 12*x. Let r(a) = -4*a**4 - 14*a**3 - 12*a**2 - 4*a. Let w(s) = -7*r(s) - 2*v(s). Factor w(b).
4*b*(b + 1)**3
Let z = 11/112 + 3/16. What is r in 0 + 2/7*r - z*r**2 = 0?
0, 1
Let g(s) be the first derivative of -s**4/4 - 2*s**3 - 5*s**2/2 - 16. Factor g(z).
-z*(z + 1)*(z + 5)
Suppose 2*q - 5*n + 15 = -0*q, 0 = 4*q - n + 3. Suppose -1/4*y + 4*y**4 + 9/4*y**2 + q - 6*y**3 = 0. What is y?
0, 1/4, 1
Factor -2/9*l**2 - 8/3 + 1/9*l**3 - 20/9*l.
(l - 6)*(l + 2)**2/9
Let 6*h**5 - 16*h**5 + 14*h**4 - 5*h**3 + h**3 + 0*h**3 = 0. Calculate h.
0, 2/5, 1
Let v(m) be the first derivative of -2*m**6/21 + 4*m**5/5 - 15*m**4/7 + 12*m**3/7 + 14. Factor v(t).
-4*t**2*(t - 3)**2*(t - 1)/7
Let k(v) = -v**5 - v**2 - v - 1. Let m(x) = 6*x**5 - 3*x**4 - 3*x**3 + 6*x**2 + 3*x + 3. Let u(b) = 3*k(b) + m(b). Factor u(w).
3*w**2*(w - 1)**2*(w + 1)
Determine f, given that -12/5*f**2 - 2/15*f**4 - 16/15 - 14/15*f**3 - 8/3*f = 0.
-2, -1
Let w(y) = -y**5 - y**4 - 2*y**3 - 6*y**2 - y - 1. Let a(j) = -2*j**3 + j + 0*j + 2*j**3 + j**2 + j**4. Let o(r) = -4*a(r) - w(r). Factor o(p).
(p - 1)**4*(p + 1)
Solve -1/4*h**2 + 5/4*h - 1 = 0.
1, 4
Suppose w + 27*w**2 + 15*w**3 - 46 + 20*w + 3*w**4 + 52 = 0. Calculate w.
-2, -1
Suppose 0 = 8*r - 3*r + 90. Let x = r - -20. Determine k so that 0 - 10*k**4 - 1/4*k - 5/2*k**x - 33/4*k**3 - 4*k**5 = 0.
-1, -1/4, 0
Find m such that -46*m**2 + 27*m - 12*m + 19*m**2 + 21*m**4 - 15*m**3 + 6 = 0.
-1, -2/7, 1
Let p(d) = 3*d**2 - 16*d + 25. Let t(f) = -10*f + 1. Let h be t(1). Let b(k) = 12*k**2 - 63*k + 99. Let y(v) = h*p(v) + 2*b(v). Suppose y(m) = 0. Calculate m.
3
Let a(l) be the second derivative of -l**5/60 + l**4/6 - 2*l**3/3 + l**2 - l. Let n(z) be the first derivative of a(z). Determine p, given that n(p) = 0.
2
Suppose -2*z = -5*l - 20, -2*l = -z - 5*l - 12. What is h in 0 + z*h - 1/4*h**4 - 1/4*h**2 + 1/2*h**3 = 0?
0, 1
Let q(k) = -k**2 + k + 1. Let d(c) = -c**2 - 6*c - 3. Let n be d(-5). Let r(b) = -b**2 + 5 + b**n - 5*b**2. Let j(w) = 6*q(w) - 2*r(w). Factor j(i).
2*(i + 2)*(2*i - 1)
Let x be (763/(-98) + 8)/((-2)/(-6)). Let r(u) be the second derivative of -27/14*u**2 + 0 + 5*u + x*u**3 + 1/140*u**5 - 3/28*u**4. Factor r(a).
(a - 3)**3/7
Suppose -9*u**2 + 4*u**5 - 4*u**3 - 5*u**3 + 8*u**2 + 5*u**3 + u**4 = 0. Calculate u.
-1, -1/4, 0, 1
Let p = -196 - -395/2. Factor 3/2 + 3*f + p*f**2.
3*(f + 1)**2/2
Let c(l) be the third derivative of 1/24*l**6 + 0 + 1/24*l**4 + 0*l - 2/15*l**5 - 3*l**2 + 1/3*l**3. Suppose c(z) = 0. What is z?
-2/5, 1
Let v(h) be the third derivative of h**8/1344 - h**7/140 + h**6/40 - h**5/30 - 7*h**2. Suppose v(t) = 0. Calculate t.
0, 2
Let w(n) = -n**3 + 8*n**2 - 5*n - 10. Let q be w(7). Determine a so that -a**4 + 5*a**3 + 2*a**4 - q*a**3 = 0.
-1, 0
Let i(s) = -s**2 - 12*s - 33. Let y be i(-5). Solve 2/7*b**y + 0 - 4/7*b = 0.
0, 2
Let j(w) = 19*w - 224. Let v be j(12). Find c, given that 0*c + 0 - 4/3*c**v + 4/3*c**2 + 0*c**3 = 0.
-1, 0, 1
Suppose -2/7*m**4 + 0 + 1/7*m + 0*m**3 + 2/7*m**2 - 1/7*m**5 = 0. What is m?
-1, 0, 1
Let n = 185/4 + -46. Let -n*q - 1/2*q**2 + 0 - 1/4*q**3 = 0. Calculate q.
-1, 0
Factor -2/3*c**2 - 128/3 - 32/3*c.
-2*(c + 8)**2/3
Let r be ((-1)/(-7))/(8/10). Let g = 3/4 - r. Factor 0 - 2/7*q**5 - 2/7*q + g*q**3 + 0*q**4 + 0*q**2.
-2*q*(q - 1)**2*(q + 1)**2/7
Let o(n) be the second derivative of 3*n**5/100 - 3*n**4/20 + n**3/5 - n. Suppose o(g) = 0. What is g?
0, 1, 2
Let y(o) be the first derivative of o**3 + 3 + 14*o**2 - 14*o**2 - 4. Let y(z) = 0. Calculate z.
0
Let s(n) be the first derivative of 3*n**4/28 - n**3/7 - 3*n**2/14 + 3*n/7 - 9. Factor s(l).
3*(l - 1)**2*(l + 1)/7
Let q = -444 - -446. Let i - 3*i**q + 0 - 7/4*i**3 = 0. What is i?
-2, 0, 2/7
Let n be (0 + 3)*(-2)/(-3). Let x(i) = i**3 + i**2 - i - 1. Let z(y) = 4*y**3 - 6*y**2 + 6*y - 2. Let p(q) = n*z(q) - 4*x(q). Factor p(f).
4*f*(f - 2)**2
Let t(b) = -3*b + 1 - 4*b**2 - 1. Let d(s) = 2*s**2 + 0*s + s + s**2 - s**2. Let y(w) = -5*d(w) - 3*t(w). Let y(h) = 0. What is h?
-2, 0
Let a = 20 - 12. Factor -a*q**3 - 4*q + 6*q**4 + 10*q**2 - q**4 - 3*q**4.
2*q*(q - 2)*(q - 1)**2
Let v(k) be the third derivative of 0*k**3 + 0*k + 3*k**2 + 1/12*k**4 + 0 - 1/15*k**5 + 1/60*k**6. What is o in v(o) = 0?
0, 1
Let i = -34/3 + 12. Let m(t) be the first derivative of i*t**3 - 1/2*t**4 + 2 + 0*t**2 + 0*t. Factor m(v).
-2*v**2*(v - 1)
Let o(v) be the first derivative of 3*v**3 - 7*v**2/2 - 2*v + 31. Factor o(p).
(p - 1)*(9*p + 2)
Let z be 11/((-44)/(-24)) - -2. Let u = -8 + z. Factor u + 0*k - 6/5*k**4 + 4/5*k**2 + 2/5*k**3.
-2*k**2*(k - 1)*(3*k + 2)/5
Let h(o) be the third derivative of 1/30*o**5 + 0*o**3 + 0 + 0*o**4 + 6*o**2 + 0*o. Find s, given that h(s) = 0.
0
Let y = 1508/5 + -301. Factor 9/5*x - 6/5 - y*x**2.
-3*(x - 2)*(x - 1)/5
Let m(g) be the second derivative of -g**6/20 + 9*g**5/20 - 9*g**4/8 - 2*g + 3. Factor m(u).
-3*u**2*(u - 3)**2/2
Let j be 145*(-1)/(-15) - 7. Solve 8/3*p**2 + j*p**3 - 4/3*p - 4/3*p**5 - 4/3*p**4 - 4/3 = 0 for p.
-1, 1
Let i be (-18)/(-15) - 8/(-60). Let 1/3*k**2 + 1 + i*k = 0. Calculate k.
-3, -1
Let a(q) = q**3 - 2*q**2 + 3*q + 6. Let m(g) = 6*g**3 - 15*g**2 + 21*g + 42. Let z(v) = 27*a(v) - 4*m(v). What is t in z(t) = 0?
-2, -1, 1
Let x(w) be the third derivative of -1/150*w**5 + w**2 + 0 + 0*w + 0*w**3 - 1/120*w**4 - 1/600*w**6. Factor x(a).
-a*(a + 1)**2/5
Let q(a) = a**5 + 20*a**4 + 24*a**3 - 3*a**2 - 3. Let m(h) = -2*h**5 - 60*h**4 - 72*h**3 + 10*h**2 + 10. Let c(l) = 3*m(l) + 10*q(l). Factor c(t).
4*t**3*(t + 2)*(t + 3)
Suppose -10/7*h**4 - 18/7*h**3 + 2*h**5 + 10/7*h**2 + 0 + 4/7*h = 0. What is h?
-1, -2/7, 0, 1
Let r = 0 - -3. Suppose -r*k + 21 = -3*a, -4*k = -a - a - 20. Suppose 0 + 0*s + 0*s**2 - 1/5*s**k = 0. Calculate s.
0
Let r = 3 - 0. What is c in 0*c**3 - 2*c**r + 7*c**3 - 2*c**4 - 3*c**3 = 0?
0, 1
Factor -2*f**5 + 4*f**3 + 3*f - 2*f**3 - 3*f.
-2*f**3*(f - 1)*(f + 1)
Let u be (-24)/(-42)*(-7)/(-6). Solve 5/3*z - u - 11/3*z**4 - 1/3*z**3 - 4/3*z**5 + 13/3*z**2 = 0.
-2, -1, 1/4, 1
Factor 15*j**2 + 12*j - 5 - 2*j + 0*j.
5*(j + 1)*(3*j - 1)
Let z(n) be the second derivative of n**4/21 + 2*n**3/21 - 12*n**2/7 + 36*n. Suppose z(q) = 0. Calculate q.
-3, 2
Suppose -q = -4*q - 3. Let g be q*1*15/(-6). Factor 1/2*c + g*c**2 - 1/2 + 3/2*c**3.
(c + 1)**2*(3*c - 1)/2
Suppose 4*f - 855 = -f. Solve -y - f + 171 + y**3 = 0 for y.
-1, 0, 1
Find s such that -s - 4*s**3 + 4*s**5 + 6*s**2 - 6*s**4 + 2*s**3 - s = 0.
-1, 0, 1/2, 1
Determine u, given that 10/3*u + 0 - 2/3*u**2 = 0.
0, 5
Let s(h) = -h**4 - 3*h**3 - 5*h**2 + 3*h + 6. Let v(f) = -3*f**4 - 12*f**3 - 21*f**2 + 12*f + 24. Let k(l) = -15*s(l) + 4*v(l). Factor k(t).
3*(t - 2)*(t - 1)*(t + 1)**2
Let d(x) be the third derivative of -x**6/20 + x**5/40 + x**4/4 - x**3/4 + 6*x**2. Factor d(h).
-3*(h - 1)*(h + 1)*(4*h - 1)/2
Suppose 1/4 - 1/2*z + 1/4*z**2 = 0. What is z?
1
Let v be (-26)/(-3) + 10/(-15). Suppose -5*h + 2*c + v = -0, 3 = -h + 5*c. Factor -1/3*a**5 + 0 - 1/3*a + 0*a**h + 0*a**4 + 2/3*a**3.
-a*(a - 1)**2*(a + 1)**2/3
Let z(o) be the first derivative of 2*o**5/5 - o**4 - 10*o**3/3 + 6*o**2 - 36. Determine d so that z(d) = 0.
-2, 0, 1, 3
Let k be ((-33)/9 + 2)*-3. Suppose -8 = -k*c + 2. Factor 1/3*o + 0 - 1/3*o**c.
-o*(o - 1)/3
Let a(d) be the first derivative of 63/10*d**5 + 6*d**3 - 49/30*d**6 - 2*d**2 - 109/12*d**4 + 2*d + 2. Let j(i) be the first derivative of a(i). Factor j(o).
-(o - 1)**2*(7*o - 2)**2
Let g = 55 + -271/5. Let o(u) be the first derivative of 2/15*u**3 - 4 - g*u**2 + 8/5*u. Factor o(y).
2*(y - 2)**2/5
Factor 0 - 1/3*j*