e m so that 0*m + 0 - 2/7*m**2 + 2/7*m**3 = 0.
0, 1
Let m = -671 + 2015/3. Factor 1/6*p**4 + p**2 + 2/3*p**3 + m*p + 1/6.
(p + 1)**4/6
Factor 2/11*a + 2/11*a**3 + 0 + 4/11*a**2.
2*a*(a + 1)**2/11
Suppose 0 = 3*g - 2*s - 12, 0 = -3*g + s - 5*s - 6. Factor 0*m + g*m**2 - 3*m + m.
2*m*(m - 1)
Let s(h) be the first derivative of -2*h**3/5 - 2*h**2/5 + 6. What is y in s(y) = 0?
-2/3, 0
Let k = -38 + 572/15. Let u(z) be the first derivative of -k*z**5 + 1/3*z**2 + 1/2*z**4 - 2 - 2/3*z**3 + 0*z. Let u(p) = 0. Calculate p.
0, 1
Let v = 937 - 2783/3. Factor -v*n**2 + 4/3 + 16/3*n**3 + 8/3*n.
4*(n - 1)**2*(4*n + 1)/3
Let f(w) be the second derivative of -w**6/80 - 3*w**5/32 - 3*w**4/16 + w**3/4 + 3*w**2/2 + 14*w. Factor f(g).
-3*(g - 1)*(g + 2)**3/8
What is l in 6/13 - 6/13*l**2 + 2/13*l**3 - 2/13*l = 0?
-1, 1, 3
Let l be (-3)/(-1) + 2/1. What is f in l*f + f**3 + f**3 - 3*f**2 - 3*f + 7*f**2 = 0?
-1, 0
Let v = -240/7 - -8647/252. Let t(h) be the second derivative of 0*h**2 + 0 - 2*h - v*h**4 + 1/18*h**3. Suppose t(o) = 0. Calculate o.
0, 1
Factor 0 - 4*u**3 - 14*u + 2*u**2 + 4 - 2*u**3 + 14*u**2.
-2*(u - 1)**2*(3*u - 2)
Let c(g) be the first derivative of 7/2*g**4 - 1 + 0*g**2 + 2*g**5 + 0*g + 4/3*g**3. Suppose c(p) = 0. What is p?
-1, -2/5, 0
Let o(c) = c**3 + 33*c**2 - 70*c + 3. Let j be o(-35). Determine m so that 8/9 + 2/9*m**2 - 8/3*m + 8/3*m**j - 10/9*m**4 = 0.
-1, 2/5, 1, 2
Let k be -3 + 2*(-3 + 2). Let u = k - -9. Factor -4*c**u + 6*c**4 - 3*c**2 - 2*c**3 + 2*c + c**4.
c*(c - 1)*(c + 1)*(3*c - 2)
Let w = -1072 - -1077. Let 3/4*t**w + 0 + 0*t**2 + 0*t + 3/4*t**3 + 3/2*t**4 = 0. Calculate t.
-1, 0
Solve 2/7*q**2 + 0 - 2/7*q**3 + 2/7*q - 2/7*q**4 = 0 for q.
-1, 0, 1
Let y = 8 - 6. Factor -6*k + 6*k**3 - 4*k**2 + 0*k**2 + 9*k**4 - 1 - 4*k**y.
(k - 1)*(k + 1)*(3*k + 1)**2
Let d(h) be the first derivative of -h**8/8400 - h**7/1400 - h**6/600 - h**5/600 - h**3 - 1. Let u(i) be the third derivative of d(i). Factor u(f).
-f*(f + 1)**3/5
Let o = -24 - -26. Let m(z) be the second derivative of 1/21*z**6 + z + 0*z**3 + 1/21*z**4 - 1/10*z**5 + 0 + 0*z**o. What is y in m(y) = 0?
0, 2/5, 1
Let b = 2 + 1. Factor 3*h**2 + 2*h**3 - h - 2*h**2 + 0*h**b.
h*(h + 1)*(2*h - 1)
Let b(p) = p**3 + 2*p**2 + p + 4. Suppose u - 4*u + 3 = -3*n, 2 = n - 4*u. Let i be b(n). Suppose -2/5*k**3 + 2/5*k**i + 2/5*k - 2/5 = 0. Calculate k.
-1, 1
Suppose -13*q + 14*q - 3 = 0. Factor -1/7*x + 0 + 1/7*x**2 - 1/7*x**4 + 1/7*x**q.
-x*(x - 1)**2*(x + 1)/7
Let p = 5 - 3. Solve -n**2 - n**2 + 0*n**2 - 3*n - n**p = 0.
-1, 0
Let t be 54/10 + (-15)/(-25). Let u be 2/t + (-52)/(-60). Factor -4/5*m**2 + 0*m - 14/5*m**5 + 24/5*m**4 - u*m**3 + 0.
-2*m**2*(m - 1)**2*(7*m + 2)/5
Let w(b) be the first derivative of -1/5*b**5 + 0*b - 1/2*b**4 + 0*b**2 - 3 - 1/3*b**3. Factor w(f).
-f**2*(f + 1)**2
Let z = 9 + -7. Factor -5*h - 3*h + 0*h**2 - z*h**2 + 4*h.
-2*h*(h + 2)
Suppose -3*w = w + 60. Let o be ((-144)/w)/((-3)/(-2)). Factor -16/5*z - 2/5 - o*z**2.
-2*(4*z + 1)**2/5
Let z = -22 - -22. Factor z*i + 0 + 2/7*i**3 - 2/7*i**2.
2*i**2*(i - 1)/7
Let p be (-3 + (-150)/(-48))/((-3)/(-33)). Find g such that -3/8*g**3 + p*g + 5/8*g**2 + 3/8 = 0.
-1, -1/3, 3
Let 0 + 1/4*x**2 - 3/4*x = 0. What is x?
0, 3
Let h = 2 + 0. Factor t + 2 - 7*t - 2*t**h + 6*t.
-2*(t - 1)*(t + 1)
Let o(p) be the first derivative of p**3/9 + p**2/3 + 5. Find a, given that o(a) = 0.
-2, 0
Let k(o) = o - 2. Let l be k(5). Let w(h) = -2*h**4 + 6*h**3 - 3*h**2 + 5*h + 3. Let t(r) = r**2 - 1 - r + 2*r + 2. Let m(i) = l*t(i) - w(i). Factor m(u).
2*u*(u - 1)**3
Let q be (10/4 - -1)*(-21)/(-147). Suppose -1/4*m + 0 - 1/4*m**3 + q*m**2 = 0. Calculate m.
0, 1
Let f(k) be the second derivative of -k**5/40 + k**4/8 + 4*k. Let f(j) = 0. What is j?
0, 3
Let q(w) = -3*w**2 + 3*w + 6. Let k(v) = -3*v**2 + 4*v + 7. Let l(f) = 3*k(f) - 4*q(f). Suppose l(i) = 0. What is i?
-1, 1
Let x(v) = 6*v**4 + 6*v**3 + 5*v - 5. Let b(i) = 3*i**4 + 3*i**3 + 2*i - 2. Let q(f) = -5*b(f) + 2*x(f). Suppose q(o) = 0. What is o?
-1, 0
Let v(i) be the second derivative of 27*i**5/80 - 9*i**4/8 + 3*i**3/2 - i**2 - 13*i. Find l, given that v(l) = 0.
2/3
Find f, given that 0 + 1/2*f**2 + f = 0.
-2, 0
Let o(n) be the second derivative of n**4/42 - n**3/21 - 2*n**2/7 - 22*n. Factor o(f).
2*(f - 2)*(f + 1)/7
Factor 2/3*p**4 + 8/3 - 2*p**2 + 4/3*p**3 - 8/3*p.
2*(p - 1)**2*(p + 2)**2/3
Let x(y) be the first derivative of y**4/20 - y**3/15 + 4. Suppose x(w) = 0. Calculate w.
0, 1
Let b(i) be the second derivative of -i**5/150 - i**4/15 - 4*i**3/15 - 2*i**2 - 2*i. Let z(v) be the first derivative of b(v). Factor z(c).
-2*(c + 2)**2/5
Let h(p) = -p**2 - 4*p + 1. Let f be h(-3). Let t = 0 + f. Factor 1/3*b + 0 - 1/3*b**t + 1/3*b**2 - 1/3*b**3.
-b*(b - 1)*(b + 1)**2/3
Let a(z) = 3*z**2 + z. Let o be a(-1). Let g be (-8)/10*(-15)/o. Find y, given that 3*y - g*y**2 - 2*y - 2*y**4 - 3*y - 6*y**3 = 0.
-1, 0
Determine d so that 8/5 + 2*d**2 - 4/5*d**5 - 6/5*d**4 - 24/5*d + 16/5*d**3 = 0.
-2, 1/2, 1
Let i = 22 + -20. Let l be (5/(-75))/(i/(-12)). Factor 0 + 2/5*t**2 - l*t.
2*t*(t - 1)/5
Let l(t) be the first derivative of 4/3*t**3 - 3/2*t**2 - 1/4*t**4 + 0*t + 4. Factor l(x).
-x*(x - 3)*(x - 1)
Let j(q) = -2*q**3 + 3*q**2. Let n(g) = 9*g**3 - 12*g**2. Let p(m) = 21*j(m) + 5*n(m). What is l in p(l) = 0?
-1, 0
Let x(v) = -5*v**3 - 9*v**2 + 6*v - 4. Let u(m) = 45*m**3 + 80*m**2 - 55*m + 35. Let w(q) = 4*u(q) + 35*x(q). Factor w(y).
5*y*(y - 1)*(y + 2)
Let f be -1 - ((-1)/(-8) + (-891)/216). Factor 2/3*b**4 + 8/3*b + 4*b**2 + 2/3 + 8/3*b**f.
2*(b + 1)**4/3
Suppose 0 = 2*a - 2*f - 60, 0 = 3*a + 4*f - f - 96. Let d = a + -29. Solve -2/5 - 1/5*n**d + 3/5*n = 0 for n.
1, 2
Let d(h) = h**2 + 5*h + 6. Suppose 4*v - 36 = 4*u, 3*v = -5*u - v. Let l be d(u). Let -j**2 + 0*j**l - 2*j + j**3 + 1 - 1 = 0. What is j?
-1, 0, 2
Suppose 5*i = 8*i - 6. Factor 14/9*q**3 - 46/9*q**i + 40/9*q - 8/9.
2*(q - 2)*(q - 1)*(7*q - 2)/9
Factor -3 - 16*f**3 - 4*f**4 - 2 - 6 - 24*f**2 - 16*f + 7.
-4*(f + 1)**4
Let k(y) be the third derivative of y**6/120 + y**5/30 + 6*y**2. Factor k(i).
i**2*(i + 2)
Let g(q) be the first derivative of q**2 - 3/2*q**4 - 4 - 8/3*q**3 + 4*q. Factor g(r).
-2*(r + 1)**2*(3*r - 2)
Let m(k) = -2*k**2 - 3*k. Let n be m(-2). Let o = n + 4. Factor 0*d - 2/3*d**o + 0.
-2*d**2/3
Factor 5*k + 7*k + k**2 - 6*k + k**2.
2*k*(k + 3)
Let a(y) be the third derivative of y**6/200 - y**5/150 - y**4/40 + y**3/15 - 76*y**2. Factor a(q).
(q - 1)*(q + 1)*(3*q - 2)/5
Let a(w) = -w + 1. Let c be a(-1). Let b(y) be the first derivative of 1 + 0*y + 1/5*y**c + 2/15*y**3. Factor b(o).
2*o*(o + 1)/5
Factor -1/10*m**3 - 4/5*m + 8/5 - 7/10*m**2.
-(m - 1)*(m + 4)**2/10
Suppose -27 = 5*a - 52. Let h(x) be the first derivative of -1 + 0*x**2 + 3/2*x**4 + 0*x - 3/5*x**a - x**3. Determine s, given that h(s) = 0.
0, 1
Let v be 14 + -15 - (-4 + 1). Let r(l) be the first derivative of l**v + 2 + 2/3*l**3 - 4*l. Factor r(d).
2*(d - 1)*(d + 2)
Let 5/3*j**3 - 2/3*j**2 + 0 + 4*j**4 + 0*j = 0. What is j?
-2/3, 0, 1/4
Let c(l) be the third derivative of -l**7/840 - l**6/160 - l**5/120 - 8*l**2. Factor c(v).
-v**2*(v + 1)*(v + 2)/4
Find r such that 0 + 3/4*r**4 - 3/4*r - 3/4*r**2 + 3/4*r**3 = 0.
-1, 0, 1
Let q = 5 - 0. Let s be (-3 - 3)*(-8)/12. Factor 16/3*b - 4*b**3 - 2/3*b**q + 10/3*b**s + 0 - 8/3*b**2.
-2*b*(b - 2)**3*(b + 1)/3
Let v(i) be the third derivative of i**5/75 + 2*i**4/15 + 2*i**3/5 - 11*i**2. Factor v(p).
4*(p + 1)*(p + 3)/5
Let i(v) be the second derivative of v**8/5880 - v**7/588 + v**6/140 - v**5/60 + v**4/42 - v**3/6 + 3*v. Let j(p) be the second derivative of i(p). Factor j(n).
2*(n - 2)*(n - 1)**3/7
Suppose -8*h - 13 = -29. Factor 2/3 + 1/2*z**h + 4/3*z.
(z + 2)*(3*z + 2)/6
Let p(w) be the first derivative of w**4/12 + w**3/9 - w**2/3 + 19. Factor p(k).
k*(k - 1)*(k + 2)/3
Let h be -6*((-21)/(-6))/(-7). Suppose 0 = 5*r - 25 - 35. Factor r*d - 1 - 2*d**4 - 1 - 2 - d**2 - 2*d**4 - 12*d**h.
-(d + 2)**2*(2*d - 1)**2
Factor -8 - 3*b + 3*b + 5*b + 140*b**2 - 2.
5*(4*b - 1)*(7*b + 2)
Let z(f) be the second derivative of -3*f**6/100 + 7*f**5/150 + f**4/30 - 3*f**2/2 + f. Let c(v) be the first derivative of z(v). Let c(d) = 0. What is d?
-2/9, 0, 1
Let 4*i**3 - 1/2*i**5 + 0*i**4 + 0*i**2 + 0 - 8*i = 0. What is i?
-2, 0, 