2 + g*d**5 + 0*d - 1/120*d**6 + 1/12*d**4 + 0*d**3 + 0. Factor c(s).
-s*(s - 2)*(s + 1)
Suppose -2*f = -0*f - 12. Let a = f + -3. Let 5 - l**4 + 4*l - l**a - 3*l - 5 + l**2 = 0. What is l?
-1, 0, 1
Let l(m) be the second derivative of -m**4/12 + m**3/3 - 10*m. Suppose l(y) = 0. Calculate y.
0, 2
Let v = -3 + 8. What is d in -4*d - 2 + d - v*d - 6*d**2 = 0?
-1, -1/3
Let y(q) be the first derivative of 0*q**2 + q**3 - 3/4*q**4 + 0*q + 2. Factor y(n).
-3*n**2*(n - 1)
Let q(z) = -12*z**3 - 40*z**2 + 12*z + 56. Let r(f) = 4*f**3 + 13*f**2 - 4*f - 19. Let k(c) = 3*q(c) + 8*r(c). What is u in k(u) = 0?
-4, -1, 1
Let i(r) be the third derivative of r**7/840 - r**6/120 + r**5/48 - r**4/48 - 12*r**2. Suppose i(a) = 0. Calculate a.
0, 1, 2
Let z(q) be the first derivative of 1 - 1/240*q**5 + 0*q**2 - 2/3*q**3 + 0*q + 0*q**4 + 1/1440*q**6. Let m(r) be the third derivative of z(r). Factor m(k).
k*(k - 2)/4
Let s(l) be the second derivative of 4*l**7/105 + 23*l**6/75 + 47*l**5/50 + 4*l**4/3 + 4*l**3/5 + l - 3. Find o such that s(o) = 0.
-2, -1, -3/4, 0
Let u(i) be the first derivative of i**4/12 + i**3/9 - 3. Factor u(o).
o**2*(o + 1)/3
Let d(c) be the second derivative of c**9/7560 - c**7/1050 + c**5/300 - c**3/3 + 2*c. Let b(x) be the second derivative of d(x). Factor b(h).
2*h*(h - 1)**2*(h + 1)**2/5
Let t(c) = -6*c**2 + 3. Let n(z) = -z**2. Let x(q) = q**3 - 7*q**2 - 8*q - 1. Let s be x(8). Let f(y) = s*t(y) + 3*n(y). Factor f(u).
3*(u - 1)*(u + 1)
Let t(r) = -r**2 - 3*r**2 + 0*r**2. Let c be (-3)/12 - 54/8. Let n(i) = i**3 + 13*i**2 - i + 1. Let q(y) = c*t(y) - 2*n(y). Find v such that q(v) = 0.
-1, 1
Let b(x) be the second derivative of -x**7/14 - x**6/5 + 9*x**5/20 + 2*x**4 + 2*x**3 + 2*x - 4. Determine k, given that b(k) = 0.
-2, -1, 0, 2
Factor -5*m**5 + 0*m + 7*m**2 + 3*m**2 + 5*m + 9*m**4 - 19*m**4.
-5*m*(m - 1)*(m + 1)**3
Let i be 2/((-32)/12*-3). Suppose 11*a - 4*a = -5*a. Suppose -1/4*u + a - i*u**2 = 0. What is u?
-1, 0
Let c(o) be the third derivative of 4*o**6/225 - 28*o**5/225 + 5*o**4/36 - o**3/15 - 7*o**2. Let c(m) = 0. Calculate m.
1/4, 3
Let l = 1/7 - -1/7. Determine n, given that 4/7*n**2 - 4/7 - 2/7*n + l*n**3 = 0.
-2, -1, 1
Let w(f) = -4*f**3 + 6*f**2 - 7*f + 5. Suppose 32 = 4*t - 8. Let i(x) = -x**3 + x**2 - x + 1. Let q(s) = t*i(s) - 2*w(s). Factor q(r).
-2*r*(r - 1)*(r + 2)
Let b = 52 + -48. Let i = -6 - -12. Find j, given that -b*j**2 + 2*j**4 - 5*j**2 - i*j + j**4 = 0.
-1, 0, 2
What is o in -27/2*o**5 + 23/2*o**3 + 12*o**4 - 12*o**2 + 0 + 2*o = 0?
-1, 0, 2/9, 2/3, 1
Let l(z) be the first derivative of 0*z**5 - 4/3*z**3 + 1/3*z**6 + 4*z + 3*z**2 + 1 - 2*z**4. What is u in l(u) = 0?
-1, 1, 2
Let -2/9*m**5 + 10/9*m**2 + 10/9*m**3 - 8/9*m - 2/9*m**4 - 8/9 = 0. What is m?
-2, -1, 1, 2
Factor 3/4*j**4 + 0*j**2 + 0 + 0*j + 3/2*j**3.
3*j**3*(j + 2)/4
Let t(s) = -s**2 + s. Let j(b) = -6*b + 0*b**2 + 4*b**2 - 7*b**2 - b**2. Let q(p) = j(p) + 4*t(p). Solve q(g) = 0.
-1/4, 0
Solve 2/5*a - 1/5*a**2 + 0 = 0 for a.
0, 2
Let l(w) = -9*w**2 + 3*w - 6. Suppose 5 = -2*c - 3*c. Let y(m) = -m**2 - m - 1. Let k(h) = c*l(h) + 6*y(h). Determine z, given that k(z) = 0.
0, 3
Let z(j) be the third derivative of j**7/315 - 2*j**6/45 + 4*j**5/15 - 8*j**4/9 + 16*j**3/9 - 28*j**2. Factor z(r).
2*(r - 2)**4/3
Let o(a) be the first derivative of a**5/30 - 3*a**2/2 + 4. Let w(s) be the second derivative of o(s). Factor w(d).
2*d**2
What is d in 16/5*d**2 + 2/5*d**4 + 0 - 2*d**3 - 8/5*d = 0?
0, 1, 2
Factor 12/7 + 16/7*n + 4/7*n**2.
4*(n + 1)*(n + 3)/7
Let n = 5 - 5. Let i(u) be the third derivative of n*u**4 - 1/60*u**5 + 0*u**3 + 0 + 0*u + 2*u**2. Let i(g) = 0. Calculate g.
0
Factor 6/13*t**2 + 6/13*t + 2/13 + 2/13*t**3.
2*(t + 1)**3/13
Suppose 2*t = -0 + 8. Suppose -s - 2*s + 6 = 0. Factor c**t - 5 - c**s + 5.
c**2*(c - 1)*(c + 1)
Let t(l) = l**3 + 7*l**2 - 7*l + 7. Let c(v) = v**3 + 4*v**2 - 4*v + 4. Let g(j) = 7*c(j) - 4*t(j). Solve g(a) = 0.
0
Let x(r) be the first derivative of 3*r**4/4 - 5*r**3 + 12*r**2 - 12*r + 25. Determine t so that x(t) = 0.
1, 2
Let r(d) = 5*d**4 - 2*d**3 - 7*d**2 - 8*d. Let o(k) = -4*k**4 + k**3 + 6*k**2 + 7*k - 1. Let h(a) = -4*o(a) - 3*r(a). Let h(v) = 0. Calculate v.
-2, 1
Let r(s) = -3*s**2 + 9*s**3 + 4*s + 5*s + s - s. Let x(j) = -4*j**3 + j**2 - 4*j. Let w = -16 + 23. Let b(d) = w*x(d) + 3*r(d). Determine k so that b(k) = 0.
-1, 0
Let i(g) be the second derivative of g**5/20 + g**4/8 - 3*g**2/2 - 7*g. Let d(a) be the first derivative of i(a). Factor d(v).
3*v*(v + 1)
Let s = 3 + -2. Let p be s + 2/3*-1. Factor -p + 2/3*k + 0*k**2 - 2/3*k**3 + 1/3*k**4.
(k - 1)**3*(k + 1)/3
Find w such that -9*w**2 - 4 + 22 - 3*w + 6*w**2 = 0.
-3, 2
Let z(c) be the third derivative of -c**8/13440 + c**7/5040 + c**6/720 - c**4/6 - c**2. Let g(n) be the second derivative of z(n). Find l such that g(l) = 0.
-1, 0, 2
Let t be 54/15 + (-6)/(-15). Suppose -4*s = -t*b + 12, -3*b - s - 4 = -1. Factor -2*l**2 - 2*l**3 + b*l**3 - 2*l**3.
-2*l**2*(2*l + 1)
Factor -59*v - 30 + 24*v + 26*v**3 + 22*v**3 - 43*v**3.
5*(v - 3)*(v + 1)*(v + 2)
Solve -8/5*g**3 - 16/5*g**2 + 8/5 + 4/5*g**5 + 4/5*g + 8/5*g**4 = 0 for g.
-2, -1, 1
Let x = 7/90 - 2/45. Let y(p) be the third derivative of -x*p**6 - p**2 + 0*p + 1/3*p**3 + 0 + 1/6*p**4 - 1/105*p**7 + 0*p**5. Factor y(d).
-2*(d - 1)*(d + 1)**3
Let l(v) be the first derivative of 0*v**2 - 4 + 0*v**3 + 0*v**4 - 1/70*v**5 - 2*v. Let k(q) be the first derivative of l(q). Factor k(j).
-2*j**3/7
Factor 0 + 2/13*o + 0*o**2 + 2/13*o**5 + 0*o**4 - 4/13*o**3.
2*o*(o - 1)**2*(o + 1)**2/13
Suppose -4*k + 13 = -7. Let n(q) be the second derivative of q + 0 + 0*q**4 - 1/80*q**k + 0*q**3 + 0*q**2 - 1/60*q**6 - 1/168*q**7. Solve n(p) = 0.
-1, 0
Let p(z) be the second derivative of z**6/40 + z**5/4 + z**4 + 2*z**3 + z**2 - 3*z. Let y(b) be the first derivative of p(b). Factor y(n).
3*(n + 1)*(n + 2)**2
Let b = 15 - -2. Let w = b + -17. Find u such that 1/5*u**2 + w - 1/5*u**5 - 3/5*u**3 + 3/5*u**4 + 0*u = 0.
0, 1
Let s(u) be the second derivative of u**6/540 - u**4/108 - u**2 + 3*u. Let g(h) be the first derivative of s(h). Factor g(x).
2*x*(x - 1)*(x + 1)/9
Let a(h) be the first derivative of 7*h**4/54 + 4*h**3/9 - 4*h**2/9 - 2*h + 3. Let m(r) be the first derivative of a(r). Solve m(t) = 0 for t.
-2, 2/7
Factor 0*v + 0 + 2*v**2 - 5/2*v**3.
-v**2*(5*v - 4)/2
Suppose -35 = -5*y + 4*y. Let 21*v - 9 - y*v + 20*v + 3*v**2 = 0. Calculate v.
-3, 1
Let z be 2/(-6)*4/(10/(-5)). Factor -z*v**2 - 2/3 - 4/3*v.
-2*(v + 1)**2/3
Let j(p) be the first derivative of -p**6/2 + 12*p**5/5 - 15*p**4/4 + 2*p**3 + 15. Factor j(z).
-3*z**2*(z - 2)*(z - 1)**2
Let f(v) be the first derivative of -v**3 - 3*v**2/2 + 33. Factor f(q).
-3*q*(q + 1)
Let o(r) = -5*r + 0 + 3*r + r - 5. Let s be o(-9). What is l in 0*l**3 + 2/7*l**s + 0*l**2 + 2/7*l**5 + 0 + 0*l = 0?
-1, 0
Let m(h) be the first derivative of -h**3/6 + 5. Factor m(x).
-x**2/2
Let y(z) be the first derivative of -3*z**4/8 - 7*z**3/8 - 3*z**2/8 + 3*z/8 + 14. Factor y(b).
-3*(b + 1)**2*(4*b - 1)/8
Suppose 0 + 30/7*n**2 - 3/7*n**3 - 75/7*n = 0. Calculate n.
0, 5
Let w(v) = 2*v**2 - 4*v - 3. Let t(j) = -j**3 + 4*j**2 - 3*j + 2. Let i be t(3). Let s(z) = -5 - 3 + 3*z**i + 3 - 6*z. Let p(c) = -5*s(c) + 8*w(c). Factor p(u).
(u - 1)**2
Let u(s) = 208*s**2 - 8*s + 10. Let f be u(1). Solve 225/2*w**4 + 24 + 72*w - 72*w**2 - f*w**3 = 0 for w.
-2/5, 2/3, 2
Let i(k) = 13*k**2 + 17*k + 13. Suppose -5*d - 1 = 19. Let l(m) = -6*m**2 - 8*m - 6. Let z(c) = d*i(c) - 9*l(c). Factor z(n).
2*(n + 1)**2
Let v(i) = -2*i + 9. Let p be v(8). Let r = 7 + p. Factor -2/3*j**3 + 2/9*j**2 + 0*j + r + 2/3*j**4 - 2/9*j**5.
-2*j**2*(j - 1)**3/9
Let w be (3 - 7)*3/(-4). Let -8 - 3 + 11 + 2*s**w = 0. What is s?
0
Let k be 0/(-1 + 3 + -3). Factor 4*f**3 - 12*f**2 + 12*f + k - 3 + 6 - 7.
4*(f - 1)**3
Let b(y) be the second derivative of -5*y**4/12 - 5*y**3/3 - 5*y**2/2 + 25*y. Determine w so that b(w) = 0.
-1
Let w be (-285)/27*4/(-30). Let s = w - 2/27. Determine t so that -2*t**3 - 1/3*t**5 + s*t**2 + 4/3*t**4 + 0 - 1/3*t = 0.
0, 1
Let z(u) = 6*u**2 + 6*u. Let h(j) = -j**3 - 13*j**2 - 13*j - 1. Let c(f) = 3*h(f) + 5*z(f). Factor c(a).
-3*(a + 1)**3
Let t(i) = -i + 2. Let a be t(0). Determine n, given that -7*n - 9 + 0 - n**a + 3*n + 