at is y in -4/3*y - 10/3*y**4 - 14/3*y**2 - a*y**3 + 0 - 2/3*y**5 = 0?
-2, -1, 0
Factor 10/7*z**2 - 2*z - 12/7 + 2/7*z**4 + 2*z**3.
2*(z - 1)*(z + 1)**2*(z + 6)/7
Find h, given that 0*h + 0 - 2/5*h**3 + 2*h**2 = 0.
0, 5
Suppose -y - 10 = -4. Let s(l) = -2*l**2 + l + 1. Let c(n) = -n**2 + 1. Let t(w) = y*c(w) + 2*s(w). Factor t(u).
2*(u - 1)*(u + 2)
Let w(d) be the second derivative of 0 - 3/80*d**5 + 1/48*d**4 + 1/2*d**2 + 1/3*d**3 + 21*d. Solve w(s) = 0.
-1, -2/3, 2
Let x(y) be the second derivative of 5*y**8/84 - y**7/42 - 3*y**2/2 - 2*y. Let s(d) be the first derivative of x(d). Solve s(i) = 0 for i.
0, 1/4
Factor -8/3*a**3 + 3*a**4 + 0*a - 1/3*a**5 + 0 + 0*a**2.
-a**3*(a - 8)*(a - 1)/3
Let w(g) be the second derivative of -1/5*g**5 + 18*g**2 + 7/3*g**4 + 0 - 10*g**3 - g. Factor w(c).
-4*(c - 3)**2*(c - 1)
Suppose 48 - 40 = 4*b. Let i(p) be the third derivative of 0*p + 0*p**4 - 1/240*p**6 - p**b + 0*p**3 + 0*p**5 + 0 - 1/120*p**7. Factor i(z).
-z**3*(7*z + 2)/4
Let l(b) be the first derivative of -50*b - 5/3*b**3 + 35/2*b**2 + 20. Factor l(y).
-5*(y - 5)*(y - 2)
Solve -34/5*c + 4/5*c**2 - 4/5 + 34/5*c**3 = 0 for c.
-1, -2/17, 1
Let k(l) = -l**2 + 10*l + 3. Let u be k(9). Suppose u = 15*g - 12*g. Solve -2 - 49*q**g - 4*q - 4*q**5 + 8*q**2 + 45*q**4 + 8*q**3 - 2 = 0 for q.
-1, 1
Suppose k - 6*k = -20, 3*o - 93 = 3*k. Suppose -3*n - 6 + 21 = 0, 5*u + 4*n = o. Factor c**2 - 1/3*c**u - 2/3*c + 0.
-c*(c - 2)*(c - 1)/3
Let -3*m**5 - 20*m**2 - 40*m**3 + m**5 - 16*m**4 + 1116 + 42*m - 1080 = 0. Calculate m.
-3, -2, -1, 1
Let h(p) be the second derivative of -p**7/252 - 13*p**6/180 - 47*p**5/120 - 23*p**4/72 + 4*p**3/3 + 3*p**2 + 247*p. Find o, given that h(o) = 0.
-6, -1, 1
Let j(a) = -4*a**2 + 20*a - 18. Let i(s) = 4*s**2 - 20*s + 19. Let b = -13 + 16. Let q(z) = b*j(z) + 2*i(z). Factor q(g).
-4*(g - 4)*(g - 1)
Let f(h) be the third derivative of 0*h**3 - 1/1470*h**7 + 0*h + 1/420*h**6 - 8*h**2 - 1/84*h**4 + 0 + 1/420*h**5. Solve f(d) = 0 for d.
-1, 0, 1, 2
Let h = 2081 + -2078. Solve c**4 - 1/2*c**h + 1/2*c - c**2 + 0 = 0.
-1, 0, 1/2, 1
Suppose 37 = 11*v + 15. Factor 4/3*o**2 - 2*o + 2/3 + 2/3*o**5 - v*o**4 + 4/3*o**3.
2*(o - 1)**4*(o + 1)/3
Let u(f) be the second derivative of 5/2*f**2 - 1/9*f**3 + 1/18*f**4 + 0 + 6*f - 1/90*f**5. Let v(a) be the first derivative of u(a). What is n in v(n) = 0?
1
Let n(d) be the second derivative of d**5/120 + 5*d**2 - 9*d. Let g(o) be the first derivative of n(o). Factor g(t).
t**2/2
Let n = 212/165 + -146/165. Factor -6/5*f - n*f**2 - 4/5.
-2*(f + 1)*(f + 2)/5
Let z = 8 - 1. Let p = 9 - z. Factor -3*c**p + 12 - 3*c**2 - 16*c - 22*c**2.
-4*(c + 1)*(7*c - 3)
Let q(u) be the first derivative of 3*u**4/4 - 26*u**3 + 330*u**2 - 1800*u + 446. Factor q(d).
3*(d - 10)**2*(d - 6)
Factor -1/3*p**2 - 4*p - 20/3.
-(p + 2)*(p + 10)/3
Determine u, given that -289*u**2 - 127*u - 283*u**2 - 22 + 54 + 568*u**2 = 0.
-32, 1/4
Let c(x) be the first derivative of 3*x**5/10 - 21*x**4/8 + 3*x**3 - 354. Solve c(u) = 0.
0, 1, 6
Let y = 161 + -158. Suppose 0 = -v - 4*v. Solve v*o + 0 - 4/3*o**y - 8/3*o**2 = 0.
-2, 0
What is i in -52 + 34*i**2 + 61*i + 45*i**2 - 3*i**3 - 26*i + 4*i**3 - 63*i**2 = 0?
-13, -4, 1
Let b(t) be the second derivative of t**4/4 - 6*t**3 - 39*t**2/2 - 494*t. Suppose b(m) = 0. What is m?
-1, 13
Let y = 203/122 + -10/61. Factor 0*f - y*f**3 - 9/4*f**2 + 3/4*f**4 + 0.
3*f**2*(f - 3)*(f + 1)/4
Let 3/4 - 3/2*x**2 - 9/8*x + 9/8*x**3 + 3/4*x**4 = 0. What is x?
-2, -1, 1/2, 1
Let j(l) be the first derivative of 4*l**5/5 + 37*l**4 + 680*l**3 + 6200*l**2 + 28000*l - 108. Factor j(x).
4*(x + 7)*(x + 10)**3
Find w such that 1/4*w**2 + 10*w - 41/4 = 0.
-41, 1
Let b(z) be the second derivative of z**7/105 + 4*z**6/75 - z**5/25 - 2*z**4/5 + 3*z**3/5 - 4*z - 26. Factor b(v).
2*v*(v - 1)**2*(v + 3)**2/5
Let g be (8/2)/2 - (22 - -5). Let j be ((-220)/g)/(-4) - (1 - 4). Factor 18/5*t - 14/5*t**2 - j.
-2*(t - 1)*(7*t - 2)/5
Let s(n) be the first derivative of 8*n**6 - 2856*n**5/5 + 1395*n**4/4 + 412*n**3 + 177*n**2/2 - 211. Solve s(g) = 0 for g.
-1/4, 0, 1, 59
Suppose 0 = k - 4*k + 6. Let w(j) be the first derivative of -1/7*j - 1/7*j**3 - 9 + 1/28*j**4 + 3/14*j**k. Suppose w(q) = 0. Calculate q.
1
Let u(s) be the first derivative of 9*s**4/4 + 25*s**3 - 53*s**2/2 + 9*s - 28. Factor u(l).
(l + 9)*(3*l - 1)**2
Suppose 5*k = -5*w, -3*k - 8*w + 6*w + 2 = 0. Let y(z) be the first derivative of 1/9*z**3 + 1/12*z**4 - 1/6*z**k - 1/3*z - 7. Factor y(t).
(t - 1)*(t + 1)**2/3
Let q(w) = -w**2 + 5*w + 8. Let k be q(10). Let l = 131/3 + k. Find o such that -l*o + 5/3*o**4 + 10/3*o**2 - 1/3*o**5 - 10/3*o**3 + 1/3 = 0.
1
Let z be -10 - (-12 - 2 - -1). Let t(b) be the second derivative of 3/80*b**5 - 3/8*b**4 + 9/8*b**z + 0 - 3/2*b**2 + b. Factor t(j).
3*(j - 4)*(j - 1)**2/4
Let r = -92/271 + -199451/813. Let z = -243 - r. Suppose -5/3*g**2 - z*g - 1/3*g**3 - 4/3 = 0. Calculate g.
-2, -1
Suppose 9*y + 8*y + 663 = 0. Let g be y/52 + (-22)/(-8). Suppose -38/17*f**4 + 4/17 + 2/17*f**3 + 20/17*f**5 + g*f**2 - 22/17*f = 0. What is f?
-1, 2/5, 1/2, 1
Solve 3 - 11/6*j + 1/6*j**2 = 0 for j.
2, 9
Determine x so that 2/9*x**3 - 4/9*x + 0 - 2/9*x**2 = 0.
-1, 0, 2
Suppose 3*r + 8 = -y, -4*y - 16 = 5*r - 5. Suppose 5*m - 62 = -22. Factor 11*q**2 + y - m*q**2 - 13.
3*(q - 2)*(q + 2)
Determine g, given that -3/2*g + 5/4*g**2 + 0 - 4*g**5 - 20*g**4 + 97/4*g**3 = 0.
-6, -1/4, 0, 1/4, 1
Let v(b) = -b**3 - 21*b**2 - 19*b + 24. Let s be v(-20). Let q(r) be the first derivative of 2/5*r + 1/10*r**s - 1/5*r**2 - 2/15*r**3 + 4. Factor q(k).
2*(k - 1)**2*(k + 1)/5
What is a in 18*a**4 + 36*a**2 - 88*a**2 + 18*a**2 - 3*a**5 + 19*a**2 - 33*a**3 + 33*a**2 = 0?
0, 1, 2, 3
Let i(f) be the third derivative of f**7/21 - f**6/8 - f**5/4 + 5*f**4/12 + 6*f**2 + 6. Factor i(w).
5*w*(w - 2)*(w + 1)*(2*w - 1)
Suppose 2*z - 9 = -5*p, 2*p = 5*z - p + 55. Let a be 3 + 4/z + -2. Suppose a*f**2 + 1/4*f - 1/2*f**3 - 1/4 - 1/4*f**4 + 1/4*f**5 = 0. Calculate f.
-1, 1
Let p(t) be the first derivative of 0*t + 14 - 3/25*t**5 - t**3 + 3/5*t**4 + 3/5*t**2. Solve p(i) = 0 for i.
0, 1, 2
Let b(j) = j**3 - 12*j**2 + 6*j + 12. Let g be b(12). Suppose 3*h + 75 = g. Solve 0 + 0*l + 0*l**2 - l**4 - 1/2*l**h - 1/2*l**5 = 0.
-1, 0
Let u = -249167/5 - -49835. Solve 1/5*j**5 - u*j - 9/5*j**2 + 0 + 7/5*j**3 + 9/5*j**4 = 0 for j.
-8, -1, 0, 1
Let o = -8897/150 + 178/3. Let t(a) be the second derivative of 0 + a + 0*a**2 - 3/25*a**5 + 3/20*a**4 + 0*a**3 + o*a**6. Factor t(u).
3*u**2*(u - 3)*(u - 1)/5
Determine a so that 5/4 - 13/2*a + 3/2*a**3 - 25/4*a**2 = 0.
-1, 1/6, 5
Let y(r) be the first derivative of 15*r**4/4 + 25*r**3/3 - 15*r**2/2 - 25*r - 67. Suppose y(t) = 0. Calculate t.
-5/3, -1, 1
Let u(i) be the first derivative of -1/8*i**4 + 0*i**2 + 13 + 1/9*i**3 + 0*i + 1/30*i**5. Factor u(k).
k**2*(k - 2)*(k - 1)/6
Factor 17/3*j + 16/3 + 1/3*j**2.
(j + 1)*(j + 16)/3
Suppose -398*r - 144 = -414*r. Let n(w) be the first derivative of r + 1/5*w**4 + 0*w**2 - 2/25*w**5 - 2/15*w**3 + 0*w. Find q, given that n(q) = 0.
0, 1
What is l in 45/4*l**2 - 18*l**3 - 3/2*l + 0 + 33/4*l**4 = 0?
0, 2/11, 1
Let t = 2/1159 + 4614/12749. Find z, given that 2/11*z**2 + t - 6/11*z = 0.
1, 2
Let m(d) be the first derivative of -d**7/70 + d**6/45 + 7*d**5/30 + d**4/3 + 5*d**3/3 + 5. Let w(p) be the third derivative of m(p). Factor w(c).
-4*(c - 2)*(c + 1)*(3*c + 1)
Let m = 3397 - 3397. Let g(a) be the second derivative of 0 - 1/4*a**4 + 1/10*a**6 + 5*a + m*a**3 + 0*a**2 + 0*a**5. Factor g(s).
3*s**2*(s - 1)*(s + 1)
Suppose 6*y - 5*y = 2, -4*p + 18 = -5*y. Let d(o) be the first derivative of 0*o**2 - 2/39*o**3 + 2/13*o - p. Determine f, given that d(f) = 0.
-1, 1
Let c(k) be the third derivative of -k**2 + 0*k**4 - 1/192*k**6 + 1/420*k**7 + 0 - 1/2688*k**8 + 0*k**3 + 0*k + 1/240*k**5. Suppose c(m) = 0. Calculate m.
0, 1, 2
Let u = 1843 + -1841. Solve 0 + 2/19*v**u + 6/19*v = 0 for v.
-3, 0
Let m(j) be the first derivative of -34*j**3/9 + 13*j**2/3 + 8*j/3 - 550. Suppose m(s) = 0. Calculate s.
-4/17, 1
Let p(i) be the first derivative of i**2/2 + 16*i + 2. Let g be p(-14). What is y in 30*y**4 - 12 - 80*y**3 - 20*y + 2*y**4 + 14 + 66*y**g = 0?
1/4, 1
Suppose t + 5*q - 11 = 0, 5*t = 3*q - 4 + 3. Let v be (2 + 0)*t + (-2 - 0). 