 = 0?
-1, 1
Find x, given that 0 + 0*x + 2/11*x**4 + 0*x**2 - 2/11*x**3 = 0.
0, 1
Let h(t) = 3*t**2 + 11*t - 1. Let g be h(-4). Let x(f) be the first derivative of -3/2*f - 4 - 3/2*f**2 - 1/2*f**g. Suppose x(s) = 0. Calculate s.
-1
Let r = 11 + -7. Let s be (r/10)/(36/45). Determine u so that -u - s*u**2 - 1/2 = 0.
-1
Let l = 929/9 - 103. Let p(z) be the first derivative of -l*z - 1 - 2/45*z**5 + 0*z**2 + 0*z**4 + 4/27*z**3. Suppose p(t) = 0. Calculate t.
-1, 1
Let a = -128/13 + 269/26. What is j in 0 + a*j + 1/2*j**3 - j**2 = 0?
0, 1
Let d(k) be the first derivative of -k**4 - 16*k**3 - 42*k**2 - 40*k + 41. Determine a so that d(a) = 0.
-10, -1
Let f(b) = -b**3 - b**2 - b. Let d(o) = -2*o**3 - 16*o**2 + 20*o - 16. Let x(l) = -d(l) + 4*f(l). Find j, given that x(j) = 0.
2
Factor 4 + 2/3*i**2 + 10/3*i.
2*(i + 2)*(i + 3)/3
Let c(z) be the first derivative of -z**3/6 - z**2/2 - 4. What is h in c(h) = 0?
-2, 0
Let d = 7 + -7. Solve 2*k + 6*k**3 - k**5 - 2*k**4 + 2*k**2 + d*k**4 - k**5 - 6*k = 0.
-2, -1, 0, 1
Suppose 4*p = 7*p - 9. Let o(x) be the second derivative of 0 - 2*x - 1/20*x**5 + 1/30*x**6 + 0*x**2 + 1/6*x**p - 1/12*x**4. Find c, given that o(c) = 0.
-1, 0, 1
Let t(j) be the third derivative of j**10/226800 + j**9/362880 - j**5/15 + 4*j**2. Let o(u) be the third derivative of t(u). Factor o(h).
h**3*(4*h + 1)/6
Let g(r) = 2*r**2 - 8*r + 1. Let h(o) = o**2 - 4*o + 1. Let s(q) = 5*q + 11. Let c be s(9). Suppose -i = -5*i + c. Let a(k) = i*h(k) - 6*g(k). Factor a(u).
2*(u - 2)**2
Let a(q) be the third derivative of -7*q**5/330 - q**4/11 + 4*q**3/33 + 6*q**2. Let a(d) = 0. What is d?
-2, 2/7
Let f be (-24)/33*2/1. Let i = f + 102/55. Suppose 0 - i*j**2 + 0*j - 2/5*j**3 = 0. What is j?
-1, 0
Let w be (-108)/8*(-4)/6. Let j be -3*(1 - 10/w). Factor -j*k**3 + 1/3*k**4 - 2/3 - k**2 + 5/3*k.
(k - 1)**3*(k + 2)/3
Let z(v) be the first derivative of -3 - 2*v - 1/9*v**3 - 1/6*v**2 + 1/36*v**4 + 1/30*v**5. Let k(u) be the first derivative of z(u). Factor k(l).
(l - 1)*(l + 1)*(2*l + 1)/3
Factor -9*v**3 - 6*v**4 + 4*v**5 + 24*v**4 - v**3 + 0*v**3.
2*v**3*(v + 5)*(2*v - 1)
Let z = 105 + -523/5. Let b be ((-4)/(-50))/(5/400). Factor -z*u - 16/5*u**2 + 0 - b*u**3.
-2*u*(4*u + 1)**2/5
Let c = -4/33 + 185/1254. Let n = c + 17/76. Factor 0 + 1/4*b**3 - 1/2*b - n*b**2.
b*(b - 2)*(b + 1)/4
Suppose n + u = 2*u + 5, 3*u + 15 = 4*n. Factor n + 1/3*w - 1/3*w**2.
-w*(w - 1)/3
Let a be 0 + -1 + (-180)/8. Let d = a + 24. Factor 0 + 1/2*n**3 + 0*n + 1/2*n**4 - 1/2*n**5 - d*n**2.
-n**2*(n - 1)**2*(n + 1)/2
Factor 2/5*j + 0 + 2/5*j**3 - 4/5*j**2.
2*j*(j - 1)**2/5
Suppose -14*u + 18 = -10. Suppose -8/3*f**2 + 3*f**4 - 1/3 - 2/3*f**3 + u*f - 4/3*f**5 = 0. Calculate f.
-1, 1/4, 1
Let w(q) be the third derivative of q**6/120 - q**5/12 + 7*q**4/24 - q**3/2 - 10*q**2. Determine o so that w(o) = 0.
1, 3
Let q(r) = -r**3 + r. Let u be (-2)/2 - 14/(-7). Let i(w) = -w**2 + 1. Let o(x) = u*q(x) + i(x). Let o(f) = 0. Calculate f.
-1, 1
Factor 18/5*u**2 + 2/5 - 12/5*u.
2*(3*u - 1)**2/5
Let 0 + 3/4*i**2 - 15/8*i**5 + 0*i - 3/4*i**4 + 15/8*i**3 = 0. Calculate i.
-1, -2/5, 0, 1
Suppose 3*j - 11 = 4. Let u(w) be the third derivative of 2*w**2 + 1/360*w**6 + 0*w + 1/90*w**j + 1/72*w**4 + 0 + 0*w**3. Let u(o) = 0. What is o?
-1, 0
Factor -1/2*a**4 + 0*a + 0*a**2 + 1/2*a**3 + 0.
-a**3*(a - 1)/2
What is b in 14*b**2 + 27*b + 12*b**2 + 19*b**3 - 16*b**3 + 12 - 8*b**2 = 0?
-4, -1
Suppose 0 = -5*x + 31 - 16. Let y(q) be the first derivative of -1/2*q**2 - 2 - 1/2*q - 1/6*q**x. Determine v so that y(v) = 0.
-1
Let f(c) be the first derivative of 8*c**5/25 + 7*c**4/10 - 2*c**3/3 - 6*c**2/5 + 14. Let f(x) = 0. What is x?
-2, -3/4, 0, 1
Let a be (-8)/(28/(-12) + 7) + 2. Factor 1/7*y**2 + 1/7*y - a.
(y - 1)*(y + 2)/7
Let m be (-2 - -1) + -2 + -2. Let c = m + 9. Determine g so that 2*g**2 - 12*g**3 + 3*g**3 + c*g**2 + 3*g**4 = 0.
0, 1, 2
Factor -5 + 24*w - 22*w**2 - 38*w**2 - 21*w**4 + 5 - 78*w**3.
-3*w*(w + 2)**2*(7*w - 2)
Let s be (2 - 0) + -1 + 3. Factor 5*c**s - 2 - 2*c**2 - 6*c**3 + 3*c**2 + 2.
c**2*(c - 1)*(5*c - 1)
Let r(f) be the third derivative of 1/120*f**6 + 1/24*f**4 - 1/30*f**5 + 0*f + 0 + 0*f**3 + 2*f**2. Factor r(a).
a*(a - 1)**2
Let g(t) be the first derivative of t**6/300 - t**5/50 + t**4/20 - t**3/15 + t**2/2 + 4. Let l(w) be the second derivative of g(w). Solve l(f) = 0.
1
Suppose -1 = -4*r + 19. Suppose -15*n**3 + 22*n**3 - r*n**4 - 2*n**2 + 0*n**3 = 0. What is n?
0, 2/5, 1
Let t(f) = -7*f**3 + 7*f**2 - 5*f - 5. Let r(k) = 10*k**3 - 10*k**2 + 3*k + 2 + 0*k**3 + 5 + 4*k. Let m(h) = -5*r(h) - 7*t(h). Factor m(j).
-j**2*(j - 1)
Let x(n) = n**3 + 4*n**2 + 3*n - 2. Let d be x(-3). Let l be (1 - 3/(-2)) + d. Factor 1/2*c**4 + 3*c**2 + l + 2*c**3 + 2*c.
(c + 1)**4/2
Let v be 1/(1 - 15/14). Let o be (-1 - v/3) + -3. Factor 2/3 - 4/3*u + o*u**2.
2*(u - 1)**2/3
Suppose 4*l + 4*f = -4, 9*l - 7*l = -5*f - 17. Factor 1/2*d + 3/2*d**2 + 0 + 3/2*d**3 + 1/2*d**l.
d*(d + 1)**3/2
Suppose 5 = c, 6*p + 3*c - 25 = p. Factor -2/7*x + 2/7*x**3 - 2/7*x**p + 2/7.
2*(x - 1)**2*(x + 1)/7
Let h(v) be the first derivative of 8/7*v**2 - 1 + 4/21*v**3 + 16/7*v. Factor h(i).
4*(i + 2)**2/7
Let h(m) be the first derivative of -m**9/15120 + m**8/2800 - m**6/450 + m**3 + 1. Let q(w) be the third derivative of h(w). Factor q(g).
-g**2*(g - 2)**2*(g + 1)/5
Let l(a) be the first derivative of -2*a**3/45 + 4*a**2/15 - 8*a/15 - 6. Solve l(u) = 0 for u.
2
Let u(r) be the first derivative of 2/15*r**3 - 2/5*r**2 + 2 + 0*r. Factor u(o).
2*o*(o - 2)/5
What is t in 48/7*t**2 - 12/7*t + 0 - 39/7*t**3 + 9/7*t**4 = 0?
0, 1/3, 2
Let h(q) = -q**2 - 16*q - 23. Let i be h(-14). Let z(d) be the third derivative of 0 - 1/33*d**3 + 0*d - 1/66*d**4 + d**2 - 1/330*d**i. What is r in z(r) = 0?
-1
Let r = 787 + -13365/17. Let 8/17*q**4 + 14/17*q**3 + 4/17 - r*q - 12/17*q**2 = 0. Calculate q.
-2, -1, 1/4, 1
Let f(w) be the third derivative of w**5/15 - w**4/2 + 4*w**3/3 - 20*w**2. What is u in f(u) = 0?
1, 2
Let m be (4/(2 - 1))/2. Let t be 3 + 3 + m + -4. Factor h**3 - 2*h**4 - t*h - 3*h**2 + 3*h + 0*h**2 + 5*h**4.
h*(h - 1)*(h + 1)*(3*h + 1)
Suppose -p + 0*p = 2*q - 8, -3*q + 22 = 4*p. Let 28*l**2 - q*l - 29*l**2 - 9 - 4*l = 0. What is l?
-3
Let q = 8 - 6. Determine a, given that 16*a**q - 2*a**3 - 2*a**3 - 12*a**2 = 0.
0, 1
Factor -6*b**5 + 768 + 90*b**4 + 1824*b**2 + 622*b - 2926*b - 624*b**3 + 9*b**4.
-3*(b - 4)**4*(2*b - 1)
Suppose 4*m - 13 + 1 = 0. Let f be 2/4*(1 + m). Factor -3*y**f - 10*y + 7*y + 3 - 15 - 9*y.
-3*(y + 2)**2
Factor 17*x**3 - 6*x**3 + 0*x**3 - 5*x**4 - 6*x**3.
-5*x**3*(x - 1)
Let l(m) be the first derivative of 0*m - 32*m**3 - 39/5*m**5 - 207/4*m**4 - 6*m**2 + 14*m**6 + 2. Determine o, given that l(o) = 0.
-1, -2/7, -1/4, 0, 2
Let z be 2 + (3 - -1)/((-15)/5). Let n(w) be the first derivative of 0*w**2 + 3 - z*w**3 + 0*w - 1/2*w**4 - 1/10*w**5. Find s, given that n(s) = 0.
-2, 0
Let g(h) = h**3 - 8*h**2 + 7*h + 2. Let b be g(7). Factor 245*t**b + 3*t + t - 16*t**3 - 233*t**2.
-4*t*(t - 1)*(4*t + 1)
Let x be (5*2/(-6))/(95/(-114)). What is d in 3/5*d - 3/5 - 3/5*d**3 + 3/5*d**x = 0?
-1, 1
Let q = -4 - -7. Suppose -q + 3 + m**5 + m**4 = 0. Calculate m.
-1, 0
Let m(i) be the first derivative of -i**6/3 + 76*i**5/25 - 19*i**4/10 - 28*i**3/15 + 32. Solve m(z) = 0.
-2/5, 0, 1, 7
Factor 2/3*b + 4/3*b**2 + 2/3*b**3 + 0.
2*b*(b + 1)**2/3
Let w(u) be the first derivative of -u**6/2 + 21*u**4/4 - 2*u**3 - 18*u**2 + 24*u + 23. Solve w(s) = 0.
-2, 1, 2
Let m(n) be the third derivative of 0*n + 1/240*n**5 + 0*n**3 - 1/960*n**6 + n**2 - 1/192*n**4 + 0. Find g, given that m(g) = 0.
0, 1
Let z(j) be the third derivative of 7*j**6/24 + 5*j**5/12 - 10*j**4/3 + 10*j**3/3 + 8*j**2. Factor z(d).
5*(d - 1)*(d + 2)*(7*d - 2)
Suppose -4 = -5*t - 4*u - 1, u + 6 = t. Suppose -2/3 - 19/3*n**3 + 31/3*n**4 + 11/3*n - 4*n**5 - t*n**2 = 0. Calculate n.
-2/3, 1/4, 1
Suppose 5*x = -b + 34 + 100, -5*b = 5. Suppose -5*l - 5*q + x + 13 = 0, 0 = -4*l - 2*q + 24. Factor 2*r - r**4 - 4*r**2 + 3*r**l - 2*r + 2.
2*(r - 1)**2*(r + 1)**2
Let v(y) be the third derivative of 1/48*y**4 + 1/720*y**6 - 1/120*y**5 - 1/6*y**3 + 2*y**2 + 0*y + 0. Let f(s) be the first derivative of v(s). Factor f(l).
(l - 1)**2/2
Let r(b) be the third derivative of 0 + 1/12*b*