t k be (-2)/13 - -2 - (-32)/208. Determine j so that -2/5*j**3 + 0 - 2/5*j**4 + 2/5*j + 2/5*j**k = 0.
-1, 0, 1
Let v(y) be the first derivative of y**3 + 3*y**2 - 24*y - 24. Solve v(f) = 0 for f.
-4, 2
What is z in 21*z - z**3 - 3*z**2 - 46*z + 23*z = 0?
-2, -1, 0
Let t(l) = -l - 2. Let s be t(-4). Factor -n**3 + n**3 - n**3 - n - 2*n**s.
-n*(n + 1)**2
Let l(s) be the third derivative of -s**7/525 + s**6/300 + s**5/150 - s**4/60 + 25*s**2. Factor l(h).
-2*h*(h - 1)**2*(h + 1)/5
Let o(j) be the third derivative of -1/210*j**7 + 0*j**3 - 1/672*j**8 - 1/240*j**6 + 2*j**2 + 0*j**5 + 0 + 0*j + 0*j**4. Factor o(l).
-l**3*(l + 1)**2/2
Let q(b) be the third derivative of b**7/105 - 7*b**6/180 - 17*b**5/270 - b**4/36 + 30*b**2. Find y, given that q(y) = 0.
-1/3, 0, 3
Factor 5*q**2 + 31 - 26 + 4*q + 6*q.
5*(q + 1)**2
Let k(d) = -d**2 + 8*d - 5. Let j = -7 - -14. Let y be k(j). What is o in 0 + 0*o + 0*o**y + 0*o**4 + 2/7*o**3 - 2/7*o**5 = 0?
-1, 0, 1
Let d = 604/5 - 120. Suppose 6/5*o + 2/5*o**2 + d = 0. Calculate o.
-2, -1
Suppose -3*j = -j, 3*s - 30 = -4*j. Suppose -4*z - p + 9 = -3*z, s = 5*z - 2*p. Suppose 3*q**3 + 1 - q**z - q**3 - 3*q + q = 0. What is q?
-1, 1
Let h(q) be the first derivative of q**2 + 0*q + 1/3*q**3 - 3. Factor h(w).
w*(w + 2)
Suppose -4*x + 13 = b, -5*x = 4*b - 9 - 21. Let j = 3 + x. Solve -2/3*u**2 + 2/3*u**3 - 2/3*u**j + 0 + 2/3*u**4 + 0*u = 0 for u.
-1, 0, 1
Suppose 0 = -4*v, -5*v + 15 - 7 = 4*x. Determine d, given that 2/3*d**x + 1/3*d + 0 = 0.
-1/2, 0
Let o = 2 + 0. Find k, given that 3*k**3 + 3*k**3 - 2*k**3 - 2*k**5 - o*k = 0.
-1, 0, 1
Solve c**2 + c**2 - c**2 + 5*c + 0*c**2 + 4 = 0.
-4, -1
Let c(y) be the first derivative of -y**4/8 + 5*y**3/3 - 25*y**2/4 + 8. Let c(u) = 0. Calculate u.
0, 5
Suppose -2*s + 2 = -4. Let c(y) be the first derivative of s - 5*y**3 + 7*y + 3*y**3 - y**2 - 3*y. Factor c(t).
-2*(t + 1)*(3*t - 2)
Suppose 2*j + 2*j + 4*l = 16, -j - 2*l = -5. Suppose 19 = j*t + 10. Factor -1/3*a**t + 0*a**2 + a - 2/3.
-(a - 1)**2*(a + 2)/3
Suppose h - 10 = -h. Suppose 0 = -h*b + 2*b + 12. Factor 0*i**3 + 0 - 2/7*i**5 + 2/7*i - 4/7*i**b + 4/7*i**2.
-2*i*(i - 1)*(i + 1)**3/7
Factor -5*o**2 + 4*o**3 - 2*o**2 - o**2 + 4*o.
4*o*(o - 1)**2
Let w(v) be the second derivative of 0*v**3 + 0 - 2*v + 1/12*v**4 - 1/2*v**2. Let y(m) = -6*m**2 + 4*m + 1. Let o(b) = -5*w(b) - y(b). Let o(g) = 0. What is g?
2
Factor -2/7*s**3 + 0*s + 0 + 0*s**2 - 2/7*s**4.
-2*s**3*(s + 1)/7
Let d(v) be the second derivative of -v**4/42 - v**3/21 - 22*v. Find g such that d(g) = 0.
-1, 0
Let m(d) be the first derivative of 3/8*d**2 - 1/16*d**4 + 0*d**3 - 4 + 1/2*d. Factor m(q).
-(q - 2)*(q + 1)**2/4
Let b(z) = z**3 + z. Let l(y) = 12*y**4 - y**3 - 12*y**2 - 9*y. Let q(x) = 5*b(x) + l(x). Let q(t) = 0. What is t?
-1, -1/3, 0, 1
Let g(v) be the second derivative of v**5/15 + v**4/12 - v**3/3 + v**2 + v. Let s(u) be the first derivative of g(u). Suppose s(b) = 0. Calculate b.
-1, 1/2
Let f(g) = -g - 5. Let c be f(-5). Suppose p - 4*p + 12 = c. Find b, given that b**p + 4 - 4 = 0.
0
Let p(j) be the third derivative of j**6/480 + j**5/80 + j**4/48 + 8*j**2. Factor p(v).
v*(v + 1)*(v + 2)/4
Suppose -z + 5*z = -3*q - 27, -3*z - 14 = q. Let l = q + 5. Suppose 1/3*i**3 + l + 1/3*i**4 - 1/3*i - 1/3*i**2 = 0. Calculate i.
-1, 0, 1
Let j(p) be the first derivative of p**6/120 - p**5/20 + p**4/12 - 2*p**2 + 5. Let z(o) be the second derivative of j(o). Find v, given that z(v) = 0.
0, 1, 2
Let k = -485/3 - -162. Factor 0 + k*n**2 + 0*n.
n**2/3
Let s = 14 + -12. Let q**2 - 2*q**s - 4*q - 4 + 0*q**2 = 0. Calculate q.
-2
Let i(m) be the second derivative of 2*m + 0*m**2 + 1/5*m**5 + 0 + 2*m**4 + 6*m**3. Determine n, given that i(n) = 0.
-3, 0
Let v(q) = -11*q**4 - 21*q**3 - 4*q**2 + 6*q - 6. Let x(o) = 65*o**4 + 125*o**3 + 25*o**2 - 35*o + 35. Let t(p) = 35*v(p) + 6*x(p). Factor t(c).
5*c**2*(c + 1)*(c + 2)
Let f(u) be the second derivative of 0 + 0*u**2 + 1/36*u**4 + 3*u - 1/18*u**3. Factor f(a).
a*(a - 1)/3
Let v = -1103 + 1103. Factor 1/5*o**5 + v*o**2 + 0 + 0*o + 1/5*o**3 - 2/5*o**4.
o**3*(o - 1)**2/5
Let f(n) = -4 - n + 4*n + 12 - 4*n. Let z be f(6). Determine j, given that 8/3*j**5 + 0*j + 40/3*j**3 + 20/3*j**z + 10*j**4 - 2/3 = 0.
-1, 1/4
Let b(u) be the third derivative of 2*u**7/105 - u**6/30 - u**5/15 + u**4/6 - 13*u**2. Factor b(c).
4*c*(c - 1)**2*(c + 1)
Let t(s) be the second derivative of -s**4/32 - 5*s**3/16 - 9*s**2/8 + 18*s. Factor t(x).
-3*(x + 2)*(x + 3)/8
Let u = -119/24 - -45/8. Find z, given that u*z**3 + 6/5*z + 4/15 + 8/5*z**2 = 0.
-1, -2/5
Let y(q) be the second derivative of q**5/5 + q**4/3 - 2*q**3/3 - 2*q**2 + 7*q. Suppose y(l) = 0. Calculate l.
-1, 1
Solve -1 - 6*s - 11/4*s**2 = 0.
-2, -2/11
Let s(i) be the third derivative of 1/420*i**5 + 0 + 1/840*i**6 + 0*i + 10*i**2 + 0*i**3 + 0*i**4. Solve s(a) = 0.
-1, 0
Let l = 109 + -219. Let f be (-5)/(l/(-62)) + 3. What is s in 0 - 2/11*s**2 + 4/11*s**3 - f*s**4 + 0*s = 0?
0, 1
Let r be 2/(-8)*(-7)/(14/30). Factor r*i + 1/2 + 11/2*i**2.
(2*i + 1)*(11*i + 2)/4
Let f(s) = 3*s - 6. Let w be f(4). Let i be 2/w + 6/(-126). Factor i + 0*p - 2/7*p**2.
-2*(p - 1)*(p + 1)/7
Let d be (-3)/((-2)/17 + 729/(-306)). Factor 8/5*f + 0 + d*f**3 + 12/5*f**2 + 1/5*f**4.
f*(f + 2)**3/5
Let d(r) be the second derivative of -3*r**5/20 - r**4/2 - r**3/2 - 3*r. Solve d(n) = 0.
-1, 0
Suppose -5*q + 2*q = -6. Factor -2*i + 0*i**2 - 3*i**2 - 3*i**q + 5*i**2.
-i*(i + 2)
Let i(y) be the second derivative of 0 - 1/18*y**4 - y - 1/135*y**6 + 0*y**2 - 1/30*y**5 - 1/27*y**3. Suppose i(c) = 0. Calculate c.
-1, 0
Let n(d) be the second derivative of d**7/14 + 3*d**6/5 + 27*d**5/20 - d**4 - 6*d**3 + 12*d. Factor n(q).
3*q*(q - 1)*(q + 2)**2*(q + 3)
Let r(m) be the second derivative of -m**5/60 + m**4/12 - m**3/6 + 5*m**2/2 + 3*m. Let k(c) be the first derivative of r(c). Factor k(w).
-(w - 1)**2
Let s(r) be the first derivative of 2/5*r**2 - 1 - 1/15*r**3 - 4/5*r. Factor s(a).
-(a - 2)**2/5
Let k(q) = -2*q - 3 - 2 + 6 - 2. Let d be k(-2). Factor -2*v**4 - 4*v**d - v**3 - 6*v**2 - 2*v + 0*v**4 - v**3.
-2*v*(v + 1)**3
Factor -2/19*j - 6/19*j**3 - 10/19*j**2 + 2/19.
-2*(j + 1)**2*(3*j - 1)/19
Let f(m) = 171*m**3 - 60*m**2 - 171*m + 60. Let j(s) = 17*s**3 - 6*s**2 - 17*s + 6. Let q(v) = 2*f(v) - 21*j(v). Solve q(i) = 0.
-1, 2/5, 1
Let 2 - 8/3*i + 2/3*i**2 = 0. Calculate i.
1, 3
Let j(o) = -o**2 + 11*o - 9. Let p be j(10). Let c be 0/(-3 + p + 0). Solve 2/9*d**2 + 0*d + c = 0.
0
Let u(v) = 9*v**2 - 144*v - 216. Let c(o) = -o**2 + 18*o + 27. Let a = -25 - -58. Let z(d) = a*c(d) + 4*u(d). Factor z(l).
3*(l + 3)**2
Let k(q) be the first derivative of -3*q**4/4 - 3*q**3 + 6*q**2 - 7. Factor k(v).
-3*v*(v - 1)*(v + 4)
Suppose 3*j + 5*v = 0, 0 = 5*j + v - 3*v. Suppose o - 3*o = j. Let o*k**4 - 1 - 2*k**2 + 4*k**2 - k**4 = 0. What is k?
-1, 1
Let c(j) be the third derivative of j**5/120 + 13*j**2. Suppose c(p) = 0. What is p?
0
Suppose -z = -1 - 1. Let j be (0 + 1)/((-2)/(-6)). Factor -4*q**2 + 2*q**2 + q**4 + 2*q**5 + q**z + q**3 - j*q**5.
-q**2*(q - 1)**2*(q + 1)
Let x(y) be the first derivative of 3 - 3/5*y + 0*y**2 + 1/5*y**3. Let x(f) = 0. Calculate f.
-1, 1
Solve 26*m**3 - 36*m**4 + 5*m**2 + 21*m**5 + 32*m**3 - 49*m**3 + m**2 = 0 for m.
-2/7, 0, 1
Let c = 3/2 - 7/6. Let v = 38/141 + 3/47. Factor c + v*l**2 + 2/3*l.
(l + 1)**2/3
Let k = -68 + 70. Factor -6/11 + 12/11*f**3 - 24/11*f**k - 2/11*f**4 + 20/11*f.
-2*(f - 3)*(f - 1)**3/11
Let q(i) be the second derivative of 1/4*i**4 + 3*i + 0*i**2 - 1/10*i**6 - 1/10*i**5 + 1/3*i**3 + 0. Factor q(a).
-a*(a - 1)*(a + 1)*(3*a + 2)
Factor 4*z**2 + 4/3*z**3 - 4 - 4/3*z.
4*(z - 1)*(z + 1)*(z + 3)/3
Let p = 45552/5 + -9167. Let o = p - -57. Factor 0 - o*f**4 - 2/5*f + 2/5*f**3 + 2/5*f**2.
-2*f*(f - 1)**2*(f + 1)/5
Factor 0*o - 2/7*o**5 + 10/7*o**4 - 2*o**3 + 0 + 6/7*o**2.
-2*o**2*(o - 3)*(o - 1)**2/7
Let m(y) be the third derivative of y**7/35 - 11*y**6/40 - y**5 - 7*y**4/8 - 16*y**2 + y. Factor m(p).
3*p*(p - 7)*(p + 1)*(2*p + 1)
Suppose -7 - 1 = -4*o. Let p = 2 + o. Factor -4*y**3 + 3*y**3 - 1 - y**3 + y**p + 2*y.
(y - 1)**3*(y + 1)
Find k, given that -k**2 + 6*k**4 + k**5 + 0*k**5 - 2*k**4 + 3*k**2 + 5*k**3 = 0.
-2, -1, 0
Let r(c) be the first derivative of 2*c**5 - 2*c**4 - 2*c**3/3 - 15. F