-1, -1/3, 0
Let j(u) be the first derivative of 1/10*u**4 + 3/25*u**5 + 2 + 0*u - 1/5*u**2 - 1/5*u**3. Find x such that j(x) = 0.
-1, -2/3, 0, 1
Suppose -3*t = t - 8. Let x be (-6)/(-8)*t/6. Factor 1/4*q**2 - x*q - 1/2.
(q - 2)*(q + 1)/4
Factor -32/17*i - 2/17*i**4 - 48/17*i**2 - 18/17*i**3 + 0.
-2*i*(i + 1)*(i + 4)**2/17
Let x = 50 - 48. Let b(l) be the second derivative of 0 - 2*l + 2*l**x + 1/6*l**4 + l**3. Factor b(o).
2*(o + 1)*(o + 2)
Let l(a) be the third derivative of -a**8/840 - 4*a**7/1575 + a**6/900 + a**5/225 - 11*a**2. Find u, given that l(u) = 0.
-1, 0, 2/3
Let f(b) be the second derivative of 2*b**6/105 + b**5/5 + 11*b**4/21 + 10*b**3/21 - 35*b. What is i in f(i) = 0?
-5, -1, 0
Suppose -2*g + 0 = -6. Factor -3*o**2 + 3*o**3 + 3*o**4 + 0*o**3 - g*o + 0*o**2.
3*o*(o - 1)*(o + 1)**2
Let p(d) = 2*d**2 - d. Let v = 8 + -8. Let l be p(v). Determine r so that -2/7*r**2 + l - 6/7*r = 0.
-3, 0
Let t(w) be the third derivative of -w**6/180 - w**5/90 - 13*w**2. Find s, given that t(s) = 0.
-1, 0
Let h(b) = 3*b**2 + 3. Let p be h(3). Find w such that 0*w + 19*w**5 + 24*w**3 + 99*w**4 + 13*w**5 - p*w**2 - 6*w + 22*w**5 + 3 = 0.
-1, -1/2, 1/3
Let h(l) be the first derivative of l**6/300 - 3*l**2 + 9. Let c(v) be the second derivative of h(v). Determine w so that c(w) = 0.
0
Let v(f) = 10*f**4 + 20*f**3 - 10*f**2 - 2*f + 2. Let y(p) = 19*p**4 + 40*p**3 - 21*p**2 - 5*p + 5. Let c(h) = -5*v(h) + 2*y(h). Factor c(o).
-4*o**2*(o + 2)*(3*o - 1)
Let r(c) = 3*c + 24. Let d be r(-8). Suppose -2/3*t**4 + 2/3*t**2 + d - 1/3*t + 1/3*t**5 + 0*t**3 = 0. What is t?
-1, 0, 1
Let i(g) = -g**2 - 6*g. Let j be i(-5). Factor -4*z**2 + z**3 + 4*z**2 + z**j - 2*z**3.
z**3*(z - 1)*(z + 1)
Let o be 0/(-1) + 1425/(-35). Let z = o + 41. Solve 2/7*l**2 + 0 - z*l = 0 for l.
0, 1
Let l(a) be the third derivative of -2*a**2 + 1/150*a**5 - 1/900*a**6 + 0 - 1/3*a**3 - 1/60*a**4 + 0*a. Let w(h) be the first derivative of l(h). Factor w(c).
-2*(c - 1)**2/5
Let y(a) be the first derivative of 4*a**6/27 - 8*a**5/9 + 13*a**4/18 + 20*a**3/9 + a**2 - 3. Determine k, given that y(k) = 0.
-1/2, 0, 3
Let w(o) be the second derivative of o**8/168 - 2*o**7/105 + o**5/15 - o**4/12 - 4*o**2 + 4*o. Let a(z) be the first derivative of w(z). Factor a(v).
2*v*(v - 1)**3*(v + 1)
Let g = 5 + -3. Suppose -4*m + g*m + 6 = 0. What is z in -z**4 + m*z**3 + z**2 + 2*z - 5*z**3 + 3*z**5 - 2*z**5 - z**3 = 0?
-1, 0, 1, 2
Let n(l) be the third derivative of -l**5/195 + l**4/52 + 2*l**3/39 + 2*l**2. Determine c so that n(c) = 0.
-1/2, 2
Let l(h) be the third derivative of -h**5/100 - h**4/20 + 3*h**3/10 - 8*h**2. Determine n, given that l(n) = 0.
-3, 1
Suppose 9 = -2*f + 15. Factor 0 - 1/5*j**5 + 0*j**2 + 0*j + 0*j**4 + 1/5*j**f.
-j**3*(j - 1)*(j + 1)/5
Let d(v) = 36*v**2 - 56*v + 4. Let m(t) = 7*t**2 - 11*t + 1. Let p(l) = -3*d(l) + 16*m(l). Factor p(x).
4*(x - 1)**2
Let p(b) be the second derivative of -3*b**7/14 - 2*b**6/5 + 23*b**5/20 + 9*b**4/2 + 6*b**3 + 4*b**2 - 7*b. Solve p(t) = 0.
-1, -2/3, 2
Suppose 19*t - 22*t = 0. Let t - 2/5*g**2 + 4/5*g = 0. What is g?
0, 2
Let y(h) be the third derivative of 0 - 2/135*h**5 + 0*h**3 + 0*h - 3*h**2 - 1/540*h**6 - 1/27*h**4. Solve y(z) = 0.
-2, 0
Factor 4*r + 67 - 69 - 40*r**3 + 14*r**4 - 6*r - 6*r + 36*r**2.
2*(r - 1)**3*(7*r + 1)
Let q(y) be the first derivative of 2/5*y**2 - 2 + 0*y + 2/15*y**3. Factor q(c).
2*c*(c + 2)/5
Suppose -5 = -3*u - 5*d, -2*u + 3*u = 4*d + 13. Suppose -4 = -f + m - 3*m, -u*f = 5*m - 15. Solve 4/3*t**f - 2/3*t - 2/3*t**3 + 0 = 0 for t.
0, 1
What is p in p**4 - 2*p + 4*p**2 + 21/2*p**3 + 0 - 7/2*p**5 = 0?
-1, 0, 2/7, 2
Let o(w) be the second derivative of -7*w**6/15 - 3*w**5/10 + 4*w**4/7 - 4*w**3/21 + 38*w. Suppose o(c) = 0. What is c?
-1, 0, 2/7
Suppose 5*j - 49 = -5*k - 9, j + 2 = k. Suppose 5*p + b = -4*b + 20, -j*p = -4*b + 2. Factor 2*m**4 + 2*m - m - m**5 + 0*m**4 - 2*m**p.
-m*(m - 1)**3*(m + 1)
Let j = 78 + -73. Factor 2/9*b**4 - 4/9*b**2 - 2/9*b**j - 2/9*b + 2/9 + 4/9*b**3.
-2*(b - 1)**3*(b + 1)**2/9
Let k = 54 + -52. Let c(i) be the first derivative of 3/20*i**4 + 6/5*i**k - 3 - 4/5*i**3 + 0*i. Factor c(p).
3*p*(p - 2)**2/5
Let j(k) be the second derivative of -k**8/168 + k**6/60 - k**2 - 2*k. Let o(l) be the first derivative of j(l). Factor o(h).
-2*h**3*(h - 1)*(h + 1)
Let v(m) be the first derivative of -3*m**4/16 + 5*m**3/6 - 9*m**2/8 + m/2 - 23. Find f, given that v(f) = 0.
1/3, 1, 2
Let r be 2 + (-28)/(-20) + -3. Let n(o) = -2*o - 4. Let i be n(-3). Factor -r - 2/5*c**i + 4/5*c.
-2*(c - 1)**2/5
Let v(d) be the first derivative of d**5/5 + d**4/2 + d**3/3 - 2. Factor v(p).
p**2*(p + 1)**2
Let b be 20/(-6)*((-310)/(-65) + -5). Let -2/13*s**3 + b*s**2 - 16/13*s + 8/13 = 0. What is s?
1, 2
Factor -10/3*x + 2/3*x**2 - 2/3*x**4 + 10/3*x**3 + 0.
-2*x*(x - 5)*(x - 1)*(x + 1)/3
Let t(d) be the second derivative of 3/50*d**5 + 7/30*d**4 + 2/15*d**3 + 0 + 0*d**2 + 3*d. What is v in t(v) = 0?
-2, -1/3, 0
Suppose -8*z = -9*z. Factor z*i**3 - 2/7*i - 4/7*i**2 + 2/7*i**5 + 0 + 4/7*i**4.
2*i*(i - 1)*(i + 1)**3/7
Let c = 971/5 + -195. Let y = c - -17/15. Factor 0 + 4/3*o**2 - 4/3*o - y*o**3.
-o*(o - 2)**2/3
Let t(o) be the second derivative of 0 - 1/70*o**5 - 1/14*o**4 - 1/7*o**2 - 1/7*o**3 - 4*o. Let t(f) = 0. Calculate f.
-1
Let p(u) be the first derivative of 2*u**6/3 - u**4 + 8. Let p(x) = 0. What is x?
-1, 0, 1
Let b(l) = -l**3 + l**2. Let r(f) = 43*f**3 - 1 + 27*f - 51*f**2 - 2 - 16*f**2. Let k(o) = 5*b(o) - r(o). Determine d, given that k(d) = 0.
1/4, 1
Factor -2/7*k**3 + 2/7*k - 2/7*k**4 + 2/7*k**2 + 0.
-2*k*(k - 1)*(k + 1)**2/7
Let i(r) be the first derivative of -r**5/25 - 5. Factor i(g).
-g**4/5
Let k(t) be the second derivative of t**6/210 - t**5/140 - t**4/12 + 13*t**3/42 - 3*t**2/7 - 3*t - 4. Factor k(f).
(f - 2)*(f - 1)**2*(f + 3)/7
Factor -8/7*f + 0 - 6/7*f**3 + 16/7*f**2.
-2*f*(f - 2)*(3*f - 2)/7
Let m(d) = 7*d. Let w be m(-1). Let l(b) = -b**2 - 8*b - 7. Let f be l(w). Solve 2/7*t**2 - 6/7*t**3 + 0*t + f = 0.
0, 1/3
Let j = 347/10 - 69/2. Determine h, given that 1/5*h**3 - 2/5*h + j*h**2 + 0 = 0.
-2, 0, 1
Let u(g) be the first derivative of g**3/3 - 2*g**2 + 5*g + 3. Let m be u(4). Factor -2*h**2 - 4*h**3 - 4*h**2 + 4*h**2 + 2*h**4 - 2*h**m + 6*h**3.
-2*h**2*(h - 1)**2*(h + 1)
Find s, given that -7/6*s**2 - 2/3 - 3/2*s**3 + 10/3*s = 0.
-2, 2/9, 1
Let c(g) be the third derivative of -g**6/360 + g**5/90 - 16*g**2. Let c(h) = 0. Calculate h.
0, 2
Let n(s) be the first derivative of s**5 - 15*s**4/2 + 20*s**3 - 25*s**2 + 15*s - 31. Factor n(o).
5*(o - 3)*(o - 1)**3
Let g = 0 - -2. Factor -z - 5 + g*z**2 - z**2 + 5.
z*(z - 1)
Let g be (-6860)/(-1750) + (-2)/(-25). Factor -1/3*b**g + 0 + b**3 + 1/3*b - b**2.
-b*(b - 1)**3/3
Factor 3/5*o**4 + 6/5 + 21/5*o + 27/5*o**2 + 3*o**3.
3*(o + 1)**3*(o + 2)/5
Let b(s) be the first derivative of -s**6/3 - 34*s**5/25 - 11*s**4/10 + 26*s**3/15 + 16*s**2/5 + 8*s/5 - 10. Solve b(i) = 0 for i.
-2, -1, -2/5, 1
Suppose -2*d - 20 = 2*d, 2*p = -3*d - 7. Let t(v) be the first derivative of 1/2*v**2 - 1 - 64/15*v**5 - 1/3*v - p*v**4 + 20/9*v**3. Find h such that t(h) = 0.
-1, -1/4, 1/4
Let z = 761/5278 + -1/754. Factor -1/7*l**3 - 2/7*l**2 - z*l + 0.
-l*(l + 1)**2/7
Let t(d) be the second derivative of -d**5/5 + 2*d**3/3 + 2*d + 32. Solve t(y) = 0 for y.
-1, 0, 1
Let k(z) = 3*z**2 - 3*z - 6. Let i(x) = 3*x - 30 + 15*x**2 - 3*x - 15*x. Let d(g) = -5*i(g) + 24*k(g). Factor d(y).
-3*(y - 2)*(y + 1)
Let d be 1/2 + (-9)/(-10). Let f be 14/6*(-48)/(-80). Let 0 + 2/5*y - f*y**4 - 2/5*y**3 + d*y**2 = 0. What is y?
-1, -2/7, 0, 1
Let q(c) = 2*c**5 - 5*c**4 - c**3 + 7*c**2 - c + 1. Let w(g) = -2*g**5 + 4*g**4 + 2*g**3 - 6*g**2. Let k(z) = 2*q(z) + 3*w(z). Find s, given that k(s) = 0.
-1, 1
Let c(l) be the third derivative of -l**8/84 + 4*l**7/105 + 2*l**6/15 - 8*l**5/15 - 36*l**2. Determine k so that c(k) = 0.
-2, 0, 2
Let w be -3*4/(-12) - -1. Let j(i) be the first derivative of 4/3*i - i**w + 2/9*i**3 + 1. Factor j(z).
2*(z - 2)*(z - 1)/3
Suppose -9*w - 139 = -157. Factor 0*n + 3/4*n**w - 3/4.
3*(n - 1)*(n + 1)/4
Let m(v) = -11*v**2 + 14*v + 17. Let d(r) = 4*r**2 - 5*r - 6. Let t(s) = 8*d(s) + 3*m(s). Factor t(g).
-(g - 3)*(g + 1)
Let a(i) be the first derivative of -4*i**3/3 - 4*i**2 - 4. Find z