
Suppose k - 12 = 13. Suppose 5*y - 5*j - k = 0, -5*y + 8 = j - 5. Let -5*d**3 - 3*d**2 + 3*d**y - d**2 = 0. What is d?
-2, 0
Let f be (-1)/(((-5)/3)/5). Let l be 3 + f/(9/6). Factor 1/4*x + 0*x**4 + 1/4*x**l + 0*x**2 + 0 - 1/2*x**3.
x*(x - 1)**2*(x + 1)**2/4
What is j in -3/7*j**2 - 18/7*j - 15/7 = 0?
-5, -1
Suppose -3*z + l = -4, -l - 2 = 2*z + 2. Suppose -4/7*x**2 + 2/7*x + z + 2/7*x**3 = 0. What is x?
0, 1
Let p(l) be the first derivative of -2*l**3/3 + 3*l**2 + 15. Factor p(w).
-2*w*(w - 3)
Suppose -58 = 5*d + 4*i, 0*d - 3*d = -2*i + 26. Let b be (-20)/16*2/d. Let 1/4*c + b*c**4 + 0 + 3/4*c**2 + 3/4*c**3 = 0. What is c?
-1, 0
Let o(t) be the first derivative of t**5/20 - 3*t**4/8 + t**3 + 3*t**2 - 10. Let n(i) be the second derivative of o(i). Determine v so that n(v) = 0.
1, 2
Let u(r) = 13*r**4 + 36*r**3 + 71*r**2 + 65*r + 17. Let s(h) = 4*h**4 + 12*h**3 + 24*h**2 + 22*h + 6. Let t(c) = 7*s(c) - 2*u(c). Let t(z) = 0. What is z?
-2, -1
Let c(v) be the first derivative of 0*v**2 - 2/5*v**5 - 1 - 3/2*v**4 - 4/3*v**3 + 0*v. Solve c(g) = 0 for g.
-2, -1, 0
Factor 50*o**2 - 45*o**2 + 5*o**4 + 0*o**4 - 10*o**3.
5*o**2*(o - 1)**2
Let g(w) be the third derivative of -w**7/105 + w**6/10 - 2*w**5/5 + 5*w**4/6 - w**3 + 30*w**2. Factor g(y).
-2*(y - 3)*(y - 1)**3
What is a in -20/11*a**2 + 10/11*a**5 + 8/11*a**3 - 4/11 + 24/11*a**4 - 18/11*a = 0?
-1, -2/5, 1
Let p be 1/(-4) - 1610/(-40). Let 40 + 2*l**2 + 4*l - p = 0. Calculate l.
-2, 0
Factor -4/3*c**3 - 1/3*c**4 + 0 - 4/3*c**2 + 0*c.
-c**2*(c + 2)**2/3
Factor 0*m**3 - 1/4*m**4 + m**2 + 0*m + 0.
-m**2*(m - 2)*(m + 2)/4
Let m(h) be the second derivative of h**7/420 - h**5/60 - 5*h**3/6 - 4*h. Let q(c) be the second derivative of m(c). Factor q(t).
2*t*(t - 1)*(t + 1)
Let p(i) = 20*i**2 - 16*i - 44. Let j(u) = -u**3 + u**2 - u - 1. Let o(h) = -4*j(h) - p(h). Factor o(m).
4*(m - 4)*(m - 3)*(m + 1)
Let l(v) be the first derivative of -3 + 0*v - 1/2*v**4 + 0*v**2 + 0*v**3. Solve l(s) = 0 for s.
0
Let s = 1795/11 - 163. Factor -2/11 - s*q**2 + 4/11*q.
-2*(q - 1)**2/11
Let m(u) = 15*u**4 + 10*u**3 - 40*u**2 - 25*u. Let b(c) = -14*c**4 - 9*c**3 + 40*c**2 + 24*c. Let z(y) = -5*b(y) - 4*m(y). Let z(k) = 0. What is k?
-2, -1/2, 0, 2
Let s(b) be the first derivative of b**6/30 - b**5/5 + b**4/2 - 2*b**3/3 + b**2/2 + 2*b - 1. Let f(d) be the first derivative of s(d). Factor f(r).
(r - 1)**4
Let q be (-12)/9*(-24)/16. Find y, given that 0 + 4/7*y - 2/7*y**q = 0.
0, 2
Let q(v) = -2*v**3 + v + 1. Let z be q(-1). Let m be 1/7 + (-70)/49 + 3. Factor -m*p**z - 10/7*p + 2/7.
-2*(p + 1)*(6*p - 1)/7
Suppose -42*m**3 - 61*m**2 - 9*m**4 - 5 - 5*m - 23*m + 1 = 0. Calculate m.
-2, -1/3
Solve 2*c**5 - 4*c**5 - 6*c**4 + 8*c**4 = 0 for c.
0, 1
Let z(a) = 10*a - 28. Let h be z(3). Factor -7/5*f**h - 4/5 - 16/5*f.
-(f + 2)*(7*f + 2)/5
Let k(g) be the first derivative of g**6/2 + 6*g**5/5 - 15*g**4/4 - 10*g**3 + 6*g**2 + 24*g + 6. Determine t, given that k(t) = 0.
-2, -1, 1, 2
Let b be (-48)/(-9)*(-3 - -6). Let m = b + -16. Suppose 0*n**2 + 0*n + 0 - 1/3*n**4 - 1/3*n**5 + m*n**3 = 0. Calculate n.
-1, 0
Let j = -183 - -185. Solve 0 - 1/2*l - 1/2*l**j = 0 for l.
-1, 0
Suppose 0 = -4*p + p. Factor 9*u**2 - 12 - 6*u**3 + 10*u - 3*u**4 + 2*u + p*u**4.
-3*(u - 1)**2*(u + 2)**2
Let q(o) be the third derivative of o**7/10080 - o**4/24 - o**2. Let n(d) be the second derivative of q(d). Find a such that n(a) = 0.
0
Let z(o) be the third derivative of -1/540*o**6 + 2/945*o**7 + 5*o**2 - 1/270*o**5 + 0*o**3 + 0*o + 0 + 0*o**4. Factor z(l).
2*l**2*(l - 1)*(2*l + 1)/9
Let g be (-21)/6 - (-2)/4. Let k(i) = -8*i - 8. Let c(f) = f**2 - 8*f - 8. Let n(d) = g*k(d) + 2*c(d). What is j in n(j) = 0?
-2
Suppose 0 + 9 = 4*b + i, 0 = b - 5*i + 3. Suppose 0 = 2*j - j. Solve 1/4*o**b + j*o + 0 = 0 for o.
0
Let i = 38 - 38. Determine m so that 2/3*m**3 + i*m**2 + 2/3*m**4 + 0*m + 0 = 0.
-1, 0
Suppose 18 = 4*d - 14. Let y be d/36 - 96/(-297). Factor -2/11*u**4 - 2/11*u - 6/11*u**2 + 0 - y*u**3.
-2*u*(u + 1)**3/11
Let x(h) be the second derivative of -8/17*h**2 + 0 + 5/51*h**6 - 44/51*h**3 - 11/17*h**4 - 1/34*h**5 + 4*h. Solve x(t) = 0.
-1, -2/5, 2
Let p(r) be the second derivative of 1/3*r**3 + 0 + 1/6*r**4 - 4*r + 0*r**2. Solve p(c) = 0.
-1, 0
Factor 2/7*h**5 + 0 - 4/7*h - 2/7*h**4 - 6/7*h**3 + 10/7*h**2.
2*h*(h - 1)**3*(h + 2)/7
Factor 4/3*r**4 + 0*r + r**3 + 0 - 1/3*r**2.
r**2*(r + 1)*(4*r - 1)/3
Let 15*u - 3*u - 3*u**2 - 6*u = 0. Calculate u.
0, 2
Let h be 9/(324/80) - 14/63. Factor 2/9*y**4 + 4/9*y**3 + 0*y + 0 + 2/9*y**h.
2*y**2*(y + 1)**2/9
Let m = 1727/65 + -1009/39. Let f = m + -2/65. Suppose 5/3*q + 7/3*q**2 - f = 0. What is q?
-1, 2/7
Let p(x) be the first derivative of x**3/3 + 3*x**2 + 9*x - 24. Factor p(f).
(f + 3)**2
Factor 3/4*g**2 + 9/4*g + 3/4*g**4 - 3/2 - 9/4*g**3.
3*(g - 2)*(g - 1)**2*(g + 1)/4
Let r be 6*(3 - (-28)/(-12)). Factor -r - 2*c - 1/4*c**2.
-(c + 4)**2/4
Let h(d) = -4*d**4 + 6*d**3 + 12*d**2 + 2*d - 8. Let y(k) = -k**4 + 2*k**3 + 4*k**2 + k - 3. Let i(x) = 3*h(x) - 8*y(x). Factor i(o).
-2*o*(o - 1)*(o + 1)*(2*o - 1)
Let a(q) be the second derivative of -q**5/60 + 8*q. Suppose a(l) = 0. What is l?
0
Let v(x) be the second derivative of -x**8/1680 + x**6/300 - x**4/120 - 3*x**2/2 + x. Let j(h) be the first derivative of v(h). Factor j(t).
-t*(t - 1)**2*(t + 1)**2/5
Let x be (-24)/(-9) + (-2)/3. Suppose x*h + 4 = 3*h. Factor 3 + 2 - 2 + g**2 - h*g**2.
-3*(g - 1)*(g + 1)
Let w(b) = b**3 + 7*b**2 + 4*b - 8. Let a be w(-6). Suppose -8*k = -a*k - 16. Suppose -18*o**k + 48/5*o + 8/5 + 82/5*o**2 - 10*o**5 + 2/5*o**3 = 0. Calculate o.
-1, -2/5, 1
Let j = 4/365 + 1/6570. Let n(o) be the second derivative of 0*o**4 - o + 0*o**2 + 1/27*o**3 - j*o**5 + 0. Factor n(k).
-2*k*(k - 1)*(k + 1)/9
Let n be 4/(-10) + 33/45. Let i(u) be the second derivative of -n*u**3 + 1/20*u**5 + 0*u**2 - 1/12*u**4 + 0 + u. Factor i(x).
x*(x - 2)*(x + 1)
Let g(k) be the second derivative of -k**9/5292 - k**8/735 - k**7/294 - k**6/315 - k**3 + 8*k. Let i(y) be the second derivative of g(y). What is u in i(u) = 0?
-2, -1, 0
Let g be 0/(-3) + 2 - 0. Let d be -2*g/4*-4. Factor -6 - d*s + 10*s**3 + 6 + 6*s**2.
2*s*(s + 1)*(5*s - 2)
Suppose -4*a = -3*a - 4. Suppose -2*n = -0 - a. Factor -3*h**3 + h**2 - 4*h**n + 0*h**3 + 0*h**3.
-3*h**2*(h + 1)
Let q(m) = -m + 6. Let t be q(6). Suppose 2*h = u - 35, 2*h + 3*h = t. Find j, given that u*j**5 - 75*j**4 + 0*j + 20*j**3 + 23*j**3 - 4*j + j**5 = 0.
-1/4, 0, 2/3, 1
Let m(t) be the first derivative of t**5/390 + t**4/52 + 2*t**3/39 - t**2 + 1. Let a(b) be the second derivative of m(b). Factor a(u).
2*(u + 1)*(u + 2)/13
Let c(n) be the second derivative of n**4/54 - 5*n**3/9 + 59*n. Factor c(s).
2*s*(s - 15)/9
Let p(v) be the second derivative of -2*v**6/45 - 2*v**5/15 + 4*v**3/9 + 2*v**2/3 - 3*v. Find s, given that p(s) = 0.
-1, 1
Let q(i) be the third derivative of i**7/1260 - i**6/360 + i**4/8 - 3*i**2. Let s(h) be the second derivative of q(h). Factor s(y).
2*y*(y - 1)
Let d(y) be the first derivative of y**4/12 - y**2/6 - 27. Solve d(n) = 0.
-1, 0, 1
Let b = -1583/67 - 199734/737. Let a = b - -295. Solve -6/11*g + a + 2/11*g**2 = 0.
1, 2
Suppose 11 = l + a, -5*l + 45 + 7 = 2*a. Suppose 0 = -5*t - 20, -t + l = -3*g - 5*t. Solve 0*b**2 - b + 3*b**2 - 2*b**g + 3*b = 0 for b.
-2, 0
Let r = 0 - -32. Let z be 2/(3/(36/r)). Suppose -7/4*p + 1/2 + 2*p**2 - z*p**3 = 0. Calculate p.
2/3, 1
Let u(b) = -b - 6. Let o be u(-10). Suppose 0 = -h + o*h + k - 10, h + 3*k = 6. Factor -2/5 - 6/5*i**2 - 6/5*i - 2/5*i**h.
-2*(i + 1)**3/5
Solve 0 - 21/2*v - 3/2*v**2 = 0.
-7, 0
Let a(u) = -u**3 - u**2 + 1. Let h(t) = 3*t**3 - 5*t**2 + 6*t - 3. Let y(i) = -2*a(i) - 2*h(i). Factor y(c).
-4*(c - 1)**3
Let r(p) be the second derivative of 3*p**5/20 - p**4 - p**3/2 + 6*p**2 + 11*p. Factor r(b).
3*(b - 4)*(b - 1)*(b + 1)
Let t(u) be the first derivative of -4/7*u - 5/7*u**2 - 1/14*u**4 - 8/21*u**3 + 3. Factor t(h).
-2*(h + 1)**2*(h + 2)/7
Let c(b) = b**3 + b + 1. Let g(t) = -3*t**4 - 15*t**3 + 3*t**2 - 21*t - 18. Let o(q) = 18*c(q) + g(q). Factor o(y).
-3*y*(y - 1)**2*(y + 1)
Let p(q) = 6 - 2*q + 6*q**2 - 3*q**2 + q**2. Suppose 2*m + m = 33. Let r(a) = -7*a**2 + 4*a - 11. Let b(u) = m*p(u) + 6*r(u). Let b(h) = 0. What is h?
-1, 0
Let r(x) = x**4 - 