Let r = -2/17 - -40/51. What is j in 8/3*j**4 + 2/3*j**5 + 0 + 8/3*j**2 + 4*j**3 + r*j = 0?
-1, 0
Let u(r) be the third derivative of r**7/420 - r**6/48 + 3*r**5/40 - 7*r**4/48 + r**3/6 - 10*r**2. Find o, given that u(o) = 0.
1, 2
Determine m so that -5*m**4 + 8*m**2 - 3*m**2 + 3 - 3 = 0.
-1, 0, 1
Factor -2/3 + 16/21*v - 2/21*v**2.
-2*(v - 7)*(v - 1)/21
Let w(q) be the third derivative of q**7/70 + 3*q**6/40 - 3*q**5/4 + 17*q**4/8 - 3*q**3 - 11*q**2 - 2*q. What is f in w(f) = 0?
-6, 1
Let n be -7 - (-17 + -4)/3. Determine d so that n + 3/5*d**2 + 3/5*d = 0.
-1, 0
Let c(n) be the third derivative of -n**4/24 + 7*n**3/3 + n**2. Let g be c(12). Factor f - f + 2*f - 2*f**g.
-2*f*(f - 1)
Let y = -17/5 - -19/5. Let 0*m**2 + 2/5*m**4 - y - 4/5*m + 4/5*m**3 = 0. What is m?
-1, 1
Let -2/9*m**2 - 8/9 + 10/9*m = 0. Calculate m.
1, 4
Find i such that -i**5 + 0 + 5/3*i**4 - 1/3*i**3 + 0*i - 1/3*i**2 = 0.
-1/3, 0, 1
Let j(w) be the first derivative of -8 + 0*w**3 + 0*w - 1/16*w**4 + 1/8*w**2. Solve j(n) = 0.
-1, 0, 1
Let m(u) be the third derivative of u**6/720 + u**5/72 + 7*u**4/144 + u**3/12 + 7*u**2. What is c in m(c) = 0?
-3, -1
Let j(m) be the third derivative of -7*m**6/60 - 8*m**5/15 - m**4/3 - 12*m**2. Suppose j(q) = 0. Calculate q.
-2, -2/7, 0
Let y(h) be the first derivative of -1/9*h**3 - 1/3*h**2 - 3 + 1/9*h**4 + 2*h. Let f(c) be the first derivative of y(c). Factor f(l).
2*(l - 1)*(2*l + 1)/3
Let c = 0 - -2. Suppose 3*u - 1 = -5*v, -5*u - 5 = 2*v - 2*u. Factor i - i**2 + v + 3*i + 3*i**c.
2*(i + 1)**2
Let r(d) be the first derivative of -2*d**3/3 + 12*d**2 - 72*d + 38. Factor r(t).
-2*(t - 6)**2
Determine z, given that 87*z**2 + 12*z - 6 - 89*z**2 - 4*z + 0*z = 0.
1, 3
Suppose 21 = 6*y - 3. Let r(g) be the first derivative of 0*g + g**2 - 8/3*g**3 + 3/2*g**y + 1. Factor r(w).
2*w*(w - 1)*(3*w - 1)
Let u be (-4)/(-18) - 1/(-36). Let y(c) be the second derivative of 0*c**2 + 0 - 1/4*c**4 - 1/3*c**3 + u*c**5 - 2*c. Suppose y(q) = 0. What is q?
-2/5, 0, 1
Let n(m) be the second derivative of m**6/90 - m**4/12 + m**3/9 + 11*m. Factor n(j).
j*(j - 1)**2*(j + 2)/3
Let v(r) be the second derivative of -5/4*r**4 - 5/2*r**5 + 0 + 2*r**3 + 2*r**2 - 6*r. Determine m so that v(m) = 0.
-2/5, 1/2
Let g(a) = 12*a**3 + 8*a**2 - 8*a + 8. Let x(b) = -b**3 - b**2 - b - 1. Let t(d) = -g(d) - 8*x(d). Suppose t(m) = 0. What is m?
-2, 0, 2
Let t(o) be the first derivative of -2*o + 1/6*o**4 - 2/9*o**3 + 1 - 1/3*o**2. Let m(u) be the first derivative of t(u). Factor m(g).
2*(g - 1)*(3*g + 1)/3
Suppose -4 + 4 = -3*c. Let h(z) be the third derivative of c*z**3 + 0*z + 1/72*z**4 + 1/180*z**5 + 0 - 3*z**2. Let h(j) = 0. Calculate j.
-1, 0
Let t be 1/(-2) + 10/(3380/273). Solve -6/13*i**3 + 6/13*i - t + 2/13*i**2 + 2/13*i**4 = 0 for i.
-1, 1, 2
Let x(q) = 2*q - 4*q - 3*q - 2 - q**2. Let l be x(-4). Determine a, given that 2*a + 0*a + 2*a**2 - 2*a**3 + 0*a - l = 0.
-1, 1
Factor -38 + 20 + 4*o - 3*o**2 - 19*o.
-3*(o + 2)*(o + 3)
Let g(i) = -7*i**4 + 15*i**3 - 12*i**2 + i + 3. Let u(s) = -20*s**4 + 44*s**3 - 36*s**2 + 4*s + 8. Let v(m) = -8*g(m) + 3*u(m). Find y, given that v(y) = 0.
0, 1
Let c(s) = -5*s**3 - 27*s**2 + 3*s + 160. Let z(h) = 5*h**3 + 28*h**2 - 2*h - 160. Let j(i) = -2*c(i) - 3*z(i). Determine x, given that j(x) = 0.
-4, 2
Let w(d) be the third derivative of d**5/20 - d**3/2 + 3*d**2. Solve w(x) = 0.
-1, 1
Let x(v) be the third derivative of v**2 + 1/672*v**8 + 0 - 1/210*v**7 + 0*v**3 + 1/240*v**6 + 0*v**5 + 0*v**4 + 0*v. Determine o, given that x(o) = 0.
0, 1
Let u = 29/18 + -10/9. Determine w, given that 1/2 + 1/2*w**3 - 1/2*w**2 - u*w = 0.
-1, 1
Let 0 - 12/5*k + 3/5*k**2 = 0. What is k?
0, 4
Let u(h) be the first derivative of -1/3*h**3 + 0*h**2 + 1/240*h**6 + 3 + 0*h + 1/80*h**5 + 0*h**4. Let o(q) be the third derivative of u(q). Solve o(x) = 0.
-1, 0
Find f such that 16 - 2*f**2 + 44*f**2 + 145*f + 3*f**2 + 14 = 0.
-3, -2/9
Let r be -30*(6/(-2))/6. Let t = r + -13. Factor 3/2*p - 7/2*p**t + 5/2*p**4 + 1 - 3/2*p**3.
(p - 1)**2*(p + 1)*(5*p + 2)/2
Factor -1/3*y**4 + 0 - y**3 + y + 1/3*y**2.
-y*(y - 1)*(y + 1)*(y + 3)/3
Let o = 1 + -1. Suppose -4*a + 9 = -u + 4*u, o = 4*a + 4*u - 8. Factor 4 + 6*m**2 + 5*m**3 - 12 - a*m**3.
2*(m - 1)*(m + 2)**2
Let x(j) = 4*j**2 + 4*j - 3. Let u(v) = -17*v**2 - 17*v + 13. Let f(i) = 6*u(i) + 26*x(i). Factor f(b).
2*b*(b + 1)
Let r(a) be the first derivative of a**3/3 - 4*a**2 + 12*a - 42. Factor r(w).
(w - 6)*(w - 2)
Let w(d) be the second derivative of -d**4/24 - 10*d**3/3 - 100*d**2 - 12*d. Factor w(r).
-(r + 20)**2/2
Solve -10/13*u**2 + 12/13 - 14/13*u - 2/13*u**4 + 14/13*u**3 = 0 for u.
-1, 1, 6
Let n = -2/347 + 804/19085. Let f(v) be the second derivative of 0 + 0*v**2 + 5/66*v**4 - n*v**5 - 2*v - 1/33*v**3. Let f(s) = 0. What is s?
0, 1/4, 1
Factor 1/3*b**3 - 1/3*b**2 + 0 + 0*b.
b**2*(b - 1)/3
Determine o, given that 3/5 - 1/5*o**3 + o**2 - 7/5*o = 0.
1, 3
Let v(b) be the second derivative of 1/6*b**4 + 0 - b**2 - 2*b + 0*b**3. Suppose v(m) = 0. Calculate m.
-1, 1
Let x(v) be the first derivative of -2*v**5/5 + 3*v**4/2 - 2*v**3 + v**2 - 4. Solve x(p) = 0 for p.
0, 1
Suppose -10*q + 6 = -24. Solve -16/3*m - 76/3*m**q + 0 - 88/3*m**2 - 6*m**4 = 0 for m.
-2, -2/9, 0
Let w(z) be the first derivative of 5/8*z**4 + 5/8*z**2 + 1/24*z**6 - 1/4*z**5 + 3 - 5/6*z**3 - 1/4*z. Factor w(s).
(s - 1)**5/4
Let g(v) = 3*v**3 + 15*v**2 + 24*v + 14. Let t(u) = 3*u**3 + 15*u**2 + 24*u + 15. Let d(i) = 3*g(i) - 2*t(i). Let d(x) = 0. What is x?
-2, -1
Factor -8 - 3*g**2 + 3*g**2 - 22*g - 4*g**2 + 10*g.
-4*(g + 1)*(g + 2)
Suppose -p = 2*k + 2*p + 11, -17 = 3*k + 5*p. Let u be 1 + k + 105/25. Let u*y**2 - 3/5*y - 3/5*y**3 + 0 = 0. What is y?
0, 1
Let i be -1 + 6 + -6 + 5. Factor -3/4*n**5 + 3/2*n**2 - 9/4*n**i + 9/4*n + 3/4 - 3/2*n**3.
-3*(n - 1)*(n + 1)**4/4
Let y(q) be the first derivative of q**6/3 + 6*q**5/5 + q**4 - 2. Let y(l) = 0. Calculate l.
-2, -1, 0
Let p be (24/9)/(8/12). What is b in 2/13*b + 2/13*b**2 - 2/13*b**3 - 2/13*b**p + 0 = 0?
-1, 0, 1
Factor -9*h - h**4 + 7*h + 4*h + 0*h**4 + 3*h**2.
-h*(h - 2)*(h + 1)**2
Let c be (-28)/(-10)*(12/7)/3. Let 2*w**2 + 2/5*w**3 + c + 16/5*w = 0. Calculate w.
-2, -1
Let t(z) be the second derivative of -z**6/10 - 11*z**5/30 - z**4/3 + z**3/2 - 8*z. Let d(k) be the second derivative of t(k). Determine y, given that d(y) = 0.
-1, -2/9
Let d be -21*((-14)/(-20))/((-36)/48). Factor -8/5 + d*g**3 - 154/5*g**2 + 64/5*g.
2*(g - 1)*(7*g - 2)**2/5
Find m, given that 12*m + 1 - 4*m**4 - 13 + 9*m**2 + m**4 + 6*m**4 - 12*m**3 = 0.
-1, 1, 2
Let c = 15 - 10. Let i**3 - 19*i**4 + 15*i**4 + 2*i**c + i**3 = 0. What is i?
0, 1
Solve 3/4*a**3 + 3/4*a**4 + 1/4*a**5 + 1/4*a**2 + 0*a + 0 = 0 for a.
-1, 0
Let g(d) be the second derivative of d**4/54 - d**3/9 + 2*d**2/9 + 15*d. Factor g(r).
2*(r - 2)*(r - 1)/9
Let b(x) = x**2 - x. Let m(u) be the second derivative of -2*u**3/3 + 3*u. Let o(l) = -2*b(l) + m(l). Factor o(j).
-2*j*(j + 1)
Let y(w) be the first derivative of w**6/210 - w**4/28 + w**3/21 - 5*w - 11. Let k(t) be the first derivative of y(t). Factor k(i).
i*(i - 1)**2*(i + 2)/7
Factor 7*q**4 - 24*q**3 - 3*q**4 + 8*q - 4*q**2 + 4*q**5 + 12*q**3.
4*q*(q - 1)**2*(q + 1)*(q + 2)
Let v be (48/8)/36*18/4. Let t(g) be the first derivative of -1 + 3/5*g**3 - v*g**4 + 0*g + 3/5*g**2. Factor t(a).
-3*a*(a - 1)*(5*a + 2)/5
Let u(f) be the first derivative of 2*f**2 - 4*f - 7. Let r be u(2). Factor -2/7*s**r - 2/7*s**2 - 4/7*s**3 + 0 + 0*s.
-2*s**2*(s + 1)**2/7
Let y be ((-12)/45)/((-1)/10*4). Factor 0 - 4/3*x**3 + 0*x + 2/3*x**4 + y*x**2.
2*x**2*(x - 1)**2/3
Let i(o) be the second derivative of 1/6*o**5 + 3*o + 17/18*o**4 + 16/9*o**3 + 0 + 4/3*o**2. Determine z, given that i(z) = 0.
-2, -1, -2/5
Let u(q) be the first derivative of -q**6/1260 - q**5/420 + q**4/42 - 2*q**3/3 - 2. Let a(h) be the third derivative of u(h). Factor a(j).
-2*(j - 1)*(j + 2)/7
Let i be 12/5 - 6/(-10). Factor 2*c**3 + 2*c**4 + 5*c**i - c**3 - 2*c**3.
2*c**3*(c + 2)
Let w be 348/9 + (-3)/(-9). Let o be w/60 + (-1)/4. What is c in 2/5*c**3 + 2/5 - o*c - 2/5*c**2 = 0?
-1, 1
Let f be (-6)/4 + (-15)/10. Let n be 1/f + (-26)/(-6). Factor 10*u**3 + 0 + 2/3*u + 26/3*u**n + 14/3*u**2 + 8/3*u**5.
2*u*(u + 1)**3*(4*u + 1)/3
Suppose p - 4 = -1. Factor