 - 3/4*o**2 + 2*o + 0 + 1/8*o**4. Find q, given that g(q) = 0.
-1, 1
Let z(r) be the second derivative of -r**6/10 - 3*r**5/20 + r**4/4 + r**3/2 - 19*r. Let z(w) = 0. Calculate w.
-1, 0, 1
Let k = 9 + -7. Find j, given that 10*j**2 + 2*j**2 - 6*j**3 - 2*j**3 - 8*j + k*j**4 + 2 = 0.
1
Solve -3/8*s**2 + 0 - 15/8*s**3 - 9/8*s**5 - 21/8*s**4 + 0*s = 0 for s.
-1, -1/3, 0
What is d in 4*d**4 + 10 - 10*d**3 + 9*d**4 + 5*d**5 + 5*d - 3*d**4 - 20*d**2 = 0?
-2, -1, 1
Suppose 0 = l - 0 - 3. Let j(c) = -c**3 + 27*c**2 + 8*c - 28. Let i(a) = -9*a**2 - 3*a + 9. Let f(h) = l*j(h) + 8*i(h). Factor f(v).
-3*(v - 2)**2*(v + 1)
Let i(z) be the second derivative of -z**6/33 - 3*z**5/110 + z**4/33 + 24*z. Find y, given that i(y) = 0.
-1, 0, 2/5
Let r = -1 - 1. Let h be -4*r*(-3)/(-12). Solve 2*w**5 + h*w**4 - 4*w + 4*w = 0 for w.
-1, 0
Let s = -37 + 39. Let v(u) be the first derivative of -1/5*u**5 - s*u**3 + 8*u + 2*u**2 + 2 - 5/4*u**4. Factor v(q).
-(q - 1)*(q + 2)**3
Let r(v) be the third derivative of v**6/15 + 9*v**5/10 + 17*v**4/12 - 2*v**3 + 34*v**2. Factor r(f).
2*(f + 1)*(f + 6)*(4*f - 1)
Let z be 2/(-4) + -8*(-376)/640. Factor 0*v + 0 - 48/5*v**4 - 6/5*v**2 - z*v**5 - 33/5*v**3.
-3*v**2*(v + 1)**2*(7*v + 2)/5
Let h be (-2)/(-8) + (-33)/(-12). Suppose 8*u = h*u - 25, 3*l + 5*u + 19 = 0. What is y in y**4 - y**4 - 2*y**2 + l*y**4 = 0?
-1, 0, 1
Let z be ((1 - 2)*0)/(-2)*1. Determine u, given that 0*u + 3/5*u**3 + z + 3/5*u**2 = 0.
-1, 0
Solve -4*j + 3*j**2 - 7*j**2 - j + j = 0.
-1, 0
Let d(q) be the first derivative of -2*q**3/27 - q**2/3 - 9. Factor d(j).
-2*j*(j + 3)/9
Let s(y) be the second derivative of -2/11*y**2 + 0 - 5/33*y**4 + 3/11*y**3 + 3*y. Find c, given that s(c) = 0.
2/5, 1/2
Let f(i) be the first derivative of -2 + 2/27*i**3 - 2/9*i**2 + 2/9*i. Factor f(b).
2*(b - 1)**2/9
Let o(b) be the second derivative of -b**7/252 - b**6/45 - b**5/30 - 5*b. Determine g, given that o(g) = 0.
-2, 0
Let x(i) be the second derivative of -i**7/280 + i**6/120 - i**3/2 + i. Let f(m) be the second derivative of x(m). Determine w so that f(w) = 0.
0, 1
Factor -2/11*z**3 + 4/11 + 2/11*z - 4/11*z**2.
-2*(z - 1)*(z + 1)*(z + 2)/11
Find r, given that -5*r + 0*r + 9*r**2 - 14*r**2 = 0.
-1, 0
Let f(z) = z + 9. Let a be f(-9). Let p(o) be the first derivative of -4/3*o**3 + 0*o**2 + 2/5*o**5 + a*o**4 - 2 + 2*o. Factor p(n).
2*(n - 1)**2*(n + 1)**2
Factor -1/4*o**3 + 1/2*o**4 - 3/4*o**2 + 1/4*o + 1/4.
(o - 1)**2*(o + 1)*(2*o + 1)/4
Let n = -4/55 + 181/220. Let 0*j**2 + n*j - 1/2 - 1/4*j**3 = 0. Calculate j.
-2, 1
Let j(m) be the second derivative of m**6/60 - 9*m**5/80 + m**4/48 + 7*m**3/8 + 9*m**2/8 + 19*m. Factor j(k).
(k - 3)**2*(k + 1)*(2*k + 1)/4
Factor -5*a**4 + 60 - 3*a - 45*a**2 - 16*a + 15*a**3 + 15*a**3 - a.
-5*(a - 3)*(a - 2)**2*(a + 1)
Factor -56*o**2 - 45*o - 36*o**2 - 5*o**4 - 3*o**2 - 55*o**3.
-5*o*(o + 1)**2*(o + 9)
Let y be (-28)/(-42)*(-189)/4. Let r = -27 - y. Let -3*m - 1/2*m**2 - r = 0. Calculate m.
-3
Let w = 10 - 6. Let y = 2 + -2. What is r in y*r**4 + 3*r**3 - 3*r**2 - r**w + 4*r - r - 2*r = 0?
0, 1
Suppose -n = -3*n + 8. Suppose 0*g**3 - 2*g**3 - n*g**2 + 0*g**3 = 0. Calculate g.
-2, 0
Suppose l + 4 = 2, -24 = -2*g + 5*l. Let x = g + -3. Solve -2*q**2 + 1 - 6*q**3 + q**x + 6*q**3 = 0.
-1, 1
Let b(l) be the second derivative of 0*l**3 - 1/2*l**2 - l + 0 - 1/60*l**5 + 1/24*l**4. Let k(i) be the first derivative of b(i). Solve k(w) = 0 for w.
0, 1
Let j(f) be the second derivative of -f**5/60 + f**4/36 + f**3/18 - f**2/6 - 19*f. Factor j(d).
-(d - 1)**2*(d + 1)/3
Let u(x) be the third derivative of -x**5/6 + 5*x**4/8 + 5*x**3/3 + 8*x**2. Find b such that u(b) = 0.
-1/2, 2
Let h = 398/9 + -44. Solve -2/9*m**3 - 4/9 + 4/9*m**2 + h*m = 0.
-1, 1, 2
Let h(v) be the third derivative of 2*v**2 + 1/75*v**5 - 3/100*v**6 + 0*v + 3/20*v**4 - 2/15*v**3 + 0. Find q such that h(q) = 0.
-1, 2/9, 1
Factor -7*v + 16*v**4 + 24*v**2 - 2*v**5 - 34*v**3 - v - 4*v**4 + 8*v**3.
-2*v*(v - 2)**2*(v - 1)**2
Let i(m) be the third derivative of m**5/60 + m**4/24 - m**3/3 - 4*m**2. Factor i(n).
(n - 1)*(n + 2)
Determine x so that 1/4 - 2*x + 4*x**2 = 0.
1/4
Suppose -29 = -3*k + 4*p - 9, k + p = 2. What is h in 3*h**2 + 0*h**2 + k*h**3 - 6*h**3 + 2*h + 3*h**3 = 0?
-2, -1, 0
Let b = 161/4 - 40. Factor -b*i**3 - 1/4*i**4 + 0*i**2 + 0 + 0*i.
-i**3*(i + 1)/4
Let m(f) be the third derivative of 0 + 1/144*f**4 + 0*f**5 - 1/720*f**6 + 0*f**3 - 3*f**2 + 0*f. Solve m(j) = 0 for j.
-1, 0, 1
Let z be (1 - 0)*(3 - 4). Let c be 1 + 0 - z/5. Suppose -c*r + 4/5 - 6/5*r**5 + 4/5*r**4 - 8/5*r**2 + 12/5*r**3 = 0. What is r?
-1, 2/3, 1
Let j(s) be the third derivative of s**6/360 - s**5/30 + s**4/6 - 4*s**3/9 + 16*s**2. Find x, given that j(x) = 0.
2
Let q be (1*2)/(-8 + 9). Suppose q*p + 5*v = 2*v + 4, v - 2 = -p. Factor 2/9*b**p + 0 + 2/9*b.
2*b*(b + 1)/9
Suppose -2*u + 23 = 5*q, -4*q - 4*u + 2*u = -20. What is d in 2/7*d**q + 0 + 4/7*d**2 + 2/7*d = 0?
-1, 0
Find r, given that 6*r**3 + 2*r**2 + 0*r**3 - 7*r**4 + 8*r**4 - 9*r**3 = 0.
0, 1, 2
Let c be (-10 - (-256)/24)/((-1)/(-1)). Suppose -2/3*h**4 - 2/9*h**5 - c*h**3 - 2/9*h**2 + 0 + 0*h = 0. What is h?
-1, 0
Let j be (2/(-10))/(58/(-145)). Let j - 5/4*y + y**2 - 1/4*y**3 = 0. Calculate y.
1, 2
Let w(b) be the second derivative of 9*b**5/140 + 5*b**4/28 - b**3/7 + 4*b. Suppose w(k) = 0. Calculate k.
-2, 0, 1/3
Let i(q) = -16*q**2 + 15*q + 31. Let b(j) = 3*j**2 - 3*j - 6. Let o(f) = -22*b(f) - 4*i(f). Solve o(l) = 0.
-1, 4
Let d(h) be the third derivative of h**5/75 + h**4/10 - 8*h**3/15 - 9*h**2. Factor d(b).
4*(b - 1)*(b + 4)/5
Let k(m) = 125*m**4 + 210*m**3 - 335*m**2 - 55*m - 55. Let d(u) = 9*u**4 + 15*u**3 - 24*u**2 - 4*u - 4. Let a(h) = 55*d(h) - 4*k(h). Factor a(c).
-5*c**2*(c - 1)*(c + 4)
Suppose -6 = -5*j + 3*x - 0, 2*x = -3*j - 4. Suppose 0 = 4*p + v + 2*v - 26, j = -4*v + 8. Suppose -n**3 - n**p + n**3 + 0*n**5 + n**3 = 0. What is n?
-1, 0, 1
Let a(z) be the first derivative of -z**3/8 - 3*z**2/16 + 6. Suppose a(q) = 0. What is q?
-1, 0
Let g(x) be the second derivative of x**5/60 - x**4/8 + x**3/3 - 3*x**2 + 3*x. Let f(u) be the first derivative of g(u). Let f(d) = 0. What is d?
1, 2
Factor 2/3*g**4 + 0 + 0*g - 2/3*g**2 + 0*g**3.
2*g**2*(g - 1)*(g + 1)/3
Let k(u) be the second derivative of -u**7/84 + u**6/30 + u**5/10 - u**4/3 - 15*u. Determine o so that k(o) = 0.
-2, 0, 2
Let n(x) be the second derivative of -2*x**6/15 + 6*x**5/5 - 13*x**4/3 + 8*x**3 - 8*x**2 + x. Suppose n(l) = 0. What is l?
1, 2
Let v = -24 - -40. Suppose -7*j - v = 2*l - 3*j, 0 = -l - 4*j - 16. Factor 0*f - 6/5*f**2 + 2/5*f**3 + l.
2*f**2*(f - 3)/5
Let a(n) be the third derivative of -6*n**2 + 0 - 2/3*n**3 - 3/4*n**4 + 0*n - 7/30*n**5. Factor a(d).
-2*(d + 1)*(7*d + 2)
Factor 1/5*z**4 + 4/5 - 2/5*z**3 - 3/5*z**2 + 4/5*z.
(z - 2)**2*(z + 1)**2/5
Let l(z) be the first derivative of -z**4/4 + z**2/2 + 21. Solve l(i) = 0 for i.
-1, 0, 1
Let d(a) be the second derivative of 5*a**4/12 - 5*a**3/12 - 5*a**2/4 + 7*a. Let d(c) = 0. What is c?
-1/2, 1
Factor -1/3*m**4 + 1/3*m**3 + 0 + 0*m + 0*m**2.
-m**3*(m - 1)/3
Let q = 3079/7 + -439. Factor 0 - 2/7*d**4 - q*d**3 - 4/7*d**2 + 0*d.
-2*d**2*(d + 1)*(d + 2)/7
Factor -2*d**2 + d**3 + 0*d**2 - 3*d**3 - 4*d**3 - 6*d**4 - 2*d**5.
-2*d**2*(d + 1)**3
Let o be 3/(-2)*(-44)/33. Let n(j) be the second derivative of -1/30*j**4 + 0 + 0*j**o - 1/15*j**3 + 2*j. Find z such that n(z) = 0.
-1, 0
Suppose 7*l - 2*l = 0. Solve z**2 + 4*z + l + 2 + 2 = 0.
-2
Suppose 3*y - 2*y - 2 = 0. Let g be 2/7 + 104/28. Factor -6*x**g - 2*x**y - 2*x**5 - 17*x - 6*x**3 + 17*x.
-2*x**2*(x + 1)**3
Let p = -10/23 + 76/69. Factor -p*x**2 + 1/3 + 0*x + 0*x**3 + 1/3*x**4.
(x - 1)**2*(x + 1)**2/3
Suppose 16 = 2*q + 6*q. Determine a so that 0 + 2/3*a**q + 2/3*a**5 + 0*a - 2/3*a**3 - 2/3*a**4 = 0.
-1, 0, 1
Suppose -k = -2, -y + 15 = 2*y + 3*k. Determine l, given that 4/3*l + 10/3*l**4 + 2/3*l**2 - 16/3*l**y + 0 = 0.
-2/5, 0, 1
Let z(y) be the second derivative of y**4/16 - y**3/8 - 3*y**2/4 - 6*y. Find u, given that z(u) = 0.
-1, 2
Find c such that 0 + 2/3*c**3 + 0*c**2 - 2/3*c = 0.
-1, 0, 1
Let f(i) be the second derivative of -i**4 + 0 + 1/2*i**3 + 1/14*i**7 + 6*i - 2/5*i**6 + 9/10*i**5 + 0*i**2. Suppose f(l) = 0. What is l?
0, 1
Let l(y) be the third derivat