, -1/4, 0, 1
Let d = -87/4 + 22. Factor 0*y + 0 - 1/4*y**4 + d*y**3 + 0*y**2.
-y**3*(y - 1)/4
Suppose -2*j**3 + j**2 + j - 9*j**2 - 7*j = 0. What is j?
-3, -1, 0
Let h = -13 + 17. Determine z so that 0*z + 81*z**h + 81*z**5 - 74*z**3 + 6*z - 21*z**2 + 47*z**3 = 0.
-1, -2/3, 0, 1/3
Let x = 3 - 0. Let c be (0 - 0)/(x - 1). Factor c*z - 2/3*z**2 + 2/3.
-2*(z - 1)*(z + 1)/3
Let d(k) be the first derivative of -k**6/2 + 3*k**4/4 - 4. Solve d(m) = 0 for m.
-1, 0, 1
Let n = -222 - -7993/36. Let f(q) be the third derivative of 2*q**2 - n*q**4 + 0*q - 2/27*q**3 + 0 - 1/270*q**5. Factor f(z).
-2*(z + 1)*(z + 2)/9
Let a(v) = v**2 - v + 9. Let z(r) be the first derivative of r**3/3 + 9*r - 3. Let u(c) = 6*a(c) - 7*z(c). Let u(s) = 0. What is s?
-3
Let z(j) = j - 2. Let x be z(2). Suppose f + d - 2 - 2 = x, 2 = -2*f + 3*d. Factor 0*s**f + 2*s**2 - s**2.
s**2
Let v(h) = h - 1. Let c(o) = o**2 + 5*o. Let b(p) = -3*c(p) + 6*v(p). Factor b(g).
-3*(g + 1)*(g + 2)
Let n(p) be the third derivative of 1/84*p**7 + 0*p**3 - 7/240*p**6 + 0 + 0*p**4 + p**2 + 0*p + 1/60*p**5. Determine j, given that n(j) = 0.
0, 2/5, 1
Suppose k + 2*k - 2*m = 7, 2*k - 2*m = 4. Let d be (-15)/(-6)*-1*(-4)/35. Factor -2/7*u**k + 0 + 4/7*u**2 - d*u.
-2*u*(u - 1)**2/7
Let c = -731/3 - -246. Suppose 26/3*x**4 + 0 + c*x**5 + 0*x + 20/3*x**3 - 8/3*x**2 = 0. What is x?
-2, 0, 2/7
Let w(l) be the first derivative of l**4/12 + l**3/3 + 2*l - 3. Let d(p) be the first derivative of w(p). Find g, given that d(g) = 0.
-2, 0
Let q(o) be the first derivative of o**5/330 + o**4/33 + o**3/11 - o**2 - 6. Let b(y) be the second derivative of q(y). Suppose b(p) = 0. What is p?
-3, -1
Let j(f) = -3*f**3 + 10*f**2 + 13*f + 5. Let u(d) = 2*d**3 - 5*d**2 - 7*d - 3. Let c(g) = -6*j(g) - 10*u(g). Let c(q) = 0. Calculate q.
-4, -1, 0
Let v(t) = -9*t**4 + 0 + 3 - t**2 + 4*t + 1 + 4*t**3 + 2*t**4. Let a(f) = 15*f**4 - 9*f**3 + 3*f**2 - 9*f - 9. Let h(p) = -4*a(p) - 9*v(p). Factor h(q).
3*q**2*(q - 1)*(q + 1)
Let k(x) be the first derivative of -3 + 0*x + 0*x**4 - 1/3*x**3 + 1/5*x**5 + 0*x**2. Factor k(i).
i**2*(i - 1)*(i + 1)
Let c(z) be the third derivative of -z**6/24 + z**5/12 + 25*z**4/24 + 5*z**3/2 + z**2. Factor c(t).
-5*(t - 3)*(t + 1)**2
Let o(z) be the second derivative of -z**6/120 - z**5/20 - z**4/8 - z**3/6 - z**2/8 - 8*z. What is s in o(s) = 0?
-1
Let l(s) be the first derivative of -s**5/80 + s**4/48 + s**3/12 + 8*s - 6. Let z(u) be the first derivative of l(u). Factor z(x).
-x*(x - 2)*(x + 1)/4
Let a(j) be the first derivative of -j**4/18 - 4*j**3/27 + j**2/9 + 4*j/9 + 2. Solve a(r) = 0.
-2, -1, 1
Let z(y) be the third derivative of -y**6/300 - y**5/150 + y**4/30 + 19*y**2. Factor z(b).
-2*b*(b - 1)*(b + 2)/5
Let m(n) = 3*n**2 - n + 1. Let s be 4/(-20)*5*-1. Let z(g) = g**2 + g + 1. Let o(r) = s*m(r) - z(r). Determine t so that o(t) = 0.
0, 1
Let h(o) = 3*o**4 - 5*o**3 + 2*o - 2. Let b(m) = 14*m**4 - 25*m**3 + 11*m - 11. Let x(i) = -2*b(i) + 11*h(i). Factor x(j).
5*j**3*(j - 1)
Let s(n) be the second derivative of 2*n**6/5 - 2*n**5/5 + n**4/8 + 5*n**2/2 - 2*n. Let m(r) be the first derivative of s(r). Suppose m(f) = 0. What is f?
0, 1/4
Let z(n) be the third derivative of -n**5/390 + 4*n**4/39 - 64*n**3/39 - 16*n**2. Factor z(w).
-2*(w - 8)**2/13
Let w(s) be the third derivative of -s**7/70 + s**6/20 + 3*s**5/20 - s**4/2 - 2*s**3 - s**2. Factor w(l).
-3*(l - 2)**2*(l + 1)**2
Let d be 3/(-6)*-4*-9. Let u be (-2)/(-4) - 3/d. Factor 4/3*k + 0 + u*k**3 - 2*k**2.
2*k*(k - 2)*(k - 1)/3
Let -8/13*r + 6/13*r**2 + 2/13*r**4 + 8/13*r**3 - 8/13 = 0. What is r?
-2, -1, 1
Let n(o) = -2*o**3 + 4*o - 3. Let w be n(2). Let l(a) = a**2 + 6*a + 5. Let d(v) = -4*v**2 - 30*v - 26. Let s(g) = w*l(g) - 2*d(g). Find x, given that s(x) = 0.
-1
Let m(u) = -43*u**2 + 36*u - 1. Let d = -14 + 19. Let s(i) = 21*i**2 - 18*i. Let w(o) = d*s(o) + 3*m(o). Factor w(a).
-3*(2*a - 1)*(4*a - 1)
Let t(x) be the first derivative of x**6/48 - x**5/40 - x**4/32 + x**3/24 - 13. Factor t(n).
n**2*(n - 1)**2*(n + 1)/8
Let t(y) be the second derivative of -y**5/4 + 15*y**4/4 - 45*y**3/2 + 135*y**2/2 - 50*y + 2. Let t(s) = 0. Calculate s.
3
Let u(i) = -3*i**3 + i**2 + i. Let c be u(-1). Let s**3 + s - c*s**3 - s**4 + s**3 + s**2 = 0. Calculate s.
-1, 0, 1
Suppose -5*c + 5*r = 4 - 14, -10 = -3*c - r. Let v = c - 1. Factor -1 - 2*m + 2*m + m**v.
(m - 1)*(m + 1)
Let a(q) be the second derivative of q**4/3 - 8*q**3/3 + 8*q**2 - 30*q. Let a(f) = 0. Calculate f.
2
Factor 0 + 1/4*q**3 + 3/4*q**2 + 0*q.
q**2*(q + 3)/4
Suppose -k - 10 = -3*k. Let w be (0 - 15)*(-2)/6. Factor -6*f**w - 4*f**4 + 4*f**2 + 8*f**k - f - f.
2*f*(f - 1)**3*(f + 1)
Let m be 18/(-27)*(-2)/80. Let r(y) be the third derivative of 0*y**3 + 0 - m*y**6 + 0*y**4 + 1/105*y**7 + 2*y**2 + 0*y + 0*y**5. Factor r(d).
2*d**3*(d - 1)
Factor -20/7 + 6/7*i**3 + 32/7*i**2 + 6/7*i.
2*(i + 1)*(i + 5)*(3*i - 2)/7
Factor -u**2 - 5*u**3 - 2*u**2 + 4*u**3 + 2*u + 2*u**3.
u*(u - 2)*(u - 1)
Suppose -1/5*y**2 + 0*y + 1/5 = 0. Calculate y.
-1, 1
Let t(u) = -u**2 - 5*u - 9. Let s(m) = -5*m**2 - 11*m - 11. Let w(d) = -6*d**2 - 12*d - 10. Let n(h) = 4*s(h) - 3*w(h). Let k(v) = 5*n(v) - 8*t(v). Factor k(l).
-2*(l - 1)*(l + 1)
Solve 38*q**2 - 3*q - 3*q**3 + 3*q - 47*q**2 = 0.
-3, 0
Find z such that 4/11*z**3 + 2/11*z**4 - 4/11*z - 2/11 + 0*z**2 = 0.
-1, 1
Let a(w) = 2*w**5 - 2*w**4 + 3*w**3 - 3*w**2 + 5*w + 5. Let q(k) = -3*k**5 + 3*k**4 - 3*k**3 + 3*k**2 - 6*k - 6. Let g(b) = -6*a(b) - 5*q(b). Factor g(l).
3*l**2*(l - 1)**2*(l + 1)
Let n(t) = t**4 - 4*t**2 + 8*t**2 + 5*t**5 - 3*t**5 + 5*t**4 + 4*t + 4*t**3. Let w(p) = p**5 + p**4 + p**3 + p**2 + p. Let f(x) = n(x) - 4*w(x). Factor f(r).
-2*r**4*(r - 1)
Let j(q) = -10*q**2 - 14. Let s = 7 - 5. Let c(r) = -s*r**2 + 3*r**2 - 1 + 2. Let x(z) = 12*c(z) + j(z). Factor x(d).
2*(d - 1)*(d + 1)
Let h(n) be the third derivative of 0*n**3 - 1/300*n**6 + 0*n**4 + 0*n - 2*n**2 + 1/150*n**5 + 0. Suppose h(z) = 0. What is z?
0, 1
Let b(u) be the second derivative of -u**7/63 + u**5/15 - u**3/9 - 13*u. Find c such that b(c) = 0.
-1, 0, 1
Suppose 0 = u - 4*x, -3*u + 0*u = -2*x - 50. Suppose -7*h = -2*h - u. Factor 0 - 10/7*p**h + 0*p**2 + 0*p - 4/7*p**3 - 6/7*p**5.
-2*p**3*(p + 1)*(3*p + 2)/7
Let t(p) = 3*p**4 + 12*p**3 + 9*p**2 - 3*p - 3. Let m(q) = -q**3 - q**2 + q + 1. Let s be -2 - (-2)/(0 + 2). Let w(i) = s*t(i) - 3*m(i). Factor w(k).
-3*k**2*(k + 1)*(k + 2)
Let x(q) = 2*q - 22. Let k be x(11). Factor 5*l**5 + 15*l**4 - 9*l + k*l**5 + 10*l**2 + 4*l**3 - 27*l**4 + 1 + 1.
(l - 1)**3*(l + 1)*(5*l - 2)
Let i(a) be the second derivative of a**7/2520 - a**5/120 - a**4/36 - 4*a**3/3 - 5*a. Let d(t) be the second derivative of i(t). Factor d(k).
(k - 2)*(k + 1)**2/3
Let a(n) = -3*n**3 + 11*n**2 - 13. Suppose 0*o + 20 = -4*o. Let p(u) = -5*u**3 + 17*u**2 - 20. Let r(g) = o*p(g) + 8*a(g). Factor r(d).
(d - 1)*(d + 2)**2
Let h = 3/5 + 1/15. Determine p so that h*p**2 - 2/3*p**4 - 2/3*p**3 + 2/3*p + 0 = 0.
-1, 0, 1
Let w(m) = -m**3 - 4*m**2 - m - 2. Let j be w(-4). Solve -13*b**2 + 4*b**3 - b**3 + 16*b**j = 0.
-1, 0
Let w(o) = -4*o + 4. Let a(t) = t**2 + 3*t - 4. Let p(m) = 4*a(m) + 3*w(m). Find x, given that p(x) = 0.
-1, 1
Let a(m) be the first derivative of -3 - 1/6*m**4 - 1/3*m**2 - 4/9*m**3 + 0*m. Factor a(t).
-2*t*(t + 1)**2/3
Let v(o) be the third derivative of o**8/336 - o**7/210 - o**6/60 + o**5/30 + o**4/24 - o**3/6 + 24*o**2. Factor v(r).
(r - 1)**3*(r + 1)**2
Let z(o) = -5*o**2 - 30*o - 2. Let v(b) = 15*b**2 + 90*b + 7. Let u(d) = -2*v(d) - 7*z(d). Factor u(c).
5*c*(c + 6)
Let m(k) = 6*k**3 + 10*k**2 - 5*k - 11. Let h(s) = -54*s**3 - 90*s**2 + 46*s + 98. Let w(o) = 6*h(o) + 52*m(o). Factor w(x).
-4*(x - 1)*(x + 2)*(3*x + 2)
Let r(f) = -7*f**3 - 3*f**2 + 18*f. Let m(i) = -8*i**3 - 2*i**2 + 18*i + 2. Let v(l) = -4*m(l) + 5*r(l). Factor v(n).
-(n - 1)*(n + 4)*(3*n - 2)
Let z(v) = 2*v**3 + 8*v**2 - 37*v - 57. Let g(c) = -15*c**3 - 55*c**2 + 260*c + 400. Let x(a) = 3*g(a) + 20*z(a). Determine u so that x(u) = 0.
-2, 3
Let q(j) = -9*j**4 + 18*j**3 - 20*j**2 + 11*j + 11. Let g(t) = 3*t**4 - 6*t**3 + 7*t**2 - 4*t - 4. Let h(w) = 11*g(w) + 4*q(w). Factor h(b).
-3*b**2*(b - 1)**2
Let j = 3 - 3. Let u(z) be the third derivative of 27/112*z**8 + 1/15*z**5 + 39/70*z**7 + 1/3*z**