t(l).
(l - 1)**3*(l + 1)/5
Let q = -10885 - -10888. Suppose -4/15*u - 64/15*u**q + 38/15*u**2 + 2*u**4 + 0 = 0. What is u?
0, 2/15, 1
Let g be (-2 - 2)/4*23. Let h = -21 - g. Determine w, given that 0 + 4/7*w**h - 2/7*w = 0.
0, 1/2
What is h in 33/4 + 3/4*h**2 - 9*h = 0?
1, 11
Let c be (-12)/(-40)*-2 + 1. Let y be 38/30 - (-236)/1770. Factor c*m**2 + 0 + m**4 + y*m**3 + 0*m.
m**2*(m + 1)*(5*m + 2)/5
Let l(c) be the third derivative of -1/135*c**6 + 1/135*c**5 - 1/9*c**3 + 1/945*c**7 + 8*c**2 + 0 + 1/27*c**4 + 0*c. Factor l(o).
2*(o - 3)*(o - 1)**2*(o + 1)/9
Let t(p) be the second derivative of 1/3*p**4 - 38*p - 14/15*p**6 + 0*p**2 - 7/18*p**7 + 0 - 11/30*p**5 - 1/18*p**3. Find f such that t(f) = 0.
-1, 0, 1/7
Let w(k) be the second derivative of -5*k**7/42 - 13*k**6/8 - 13*k**5/8 + 15*k**4/16 - 55*k - 2. Suppose w(o) = 0. What is o?
-9, -1, 0, 1/4
Let c = 7 - 5. Suppose 5*h**2 - 2*h**c - 3*h**2 + 2 - 2*h**2 = 0. What is h?
-1, 1
Let t(z) = -130*z + 260. Let x be t(2). Let d(f) be the first derivative of x*f - 1/6*f**3 + 0*f**4 + 0*f**2 - 5 + 1/10*f**5. Suppose d(a) = 0. Calculate a.
-1, 0, 1
Let g(w) be the first derivative of -w**7/35 + w**6/5 + 40*w + 19. Let o(i) be the first derivative of g(i). Determine k, given that o(k) = 0.
0, 5
Let q(l) be the third derivative of 0*l + 0*l**3 - 1/1785*l**7 + 1/510*l**5 + 0*l**4 - 18*l**2 + 0 + 0*l**6. Suppose q(g) = 0. Calculate g.
-1, 0, 1
Let n(t) be the second derivative of -t**4/84 + t**3/14 + t - 39. What is i in n(i) = 0?
0, 3
Let f(c) be the first derivative of 3/4*c**4 - c**3 + 0*c - 3/20*c**5 - 34 + 0*c**2. Factor f(s).
-3*s**2*(s - 2)**2/4
Let j be (2 - (5 - 3))*(-1 - 0). Suppose -h + 3*h - 6 = j. Let 2/5*m**h - 2/5*m + 2*m**2 - 6/5*m**4 - 4/5 = 0. What is m?
-1, -2/3, 1
Determine n so that -3 - 26/3*n - 2*n**3 - 8*n**2 + 1/3*n**4 = 0.
-1, 9
Let c(q) = 35*q**2 + 44*q + 33. Let z(k) = -76*k**2 - 89*k - 65. Let o(h) = -13*c(h) - 6*z(h). Factor o(u).
(u - 39)*(u + 1)
Let q(s) be the third derivative of s**5/30 - 3*s**4/4 - 22*s**3/3 + 359*s**2. Factor q(p).
2*(p - 11)*(p + 2)
Let h = 7 - 7. Suppose 0 = -k, h*k + 1 = p + 3*k. Suppose -13*y**3 + 12*y**3 + y - y**2 + 0*y**2 + p = 0. What is y?
-1, 1
Let r be (-1)/(45/(-10) - -4). Determine w, given that 2 + w**3 + 3*w + w**5 + 3*w**4 - 5*w - 3*w**r - 2 = 0.
-2, -1, 0, 1
Let c(s) be the second derivative of -5/6*s**2 + 1/3*s**5 - 5/4*s**4 + 17*s + 0 + 5/3*s**3. Factor c(o).
5*(o - 1)**2*(4*o - 1)/3
Let o(l) be the third derivative of l**5/30 + 17*l**4/6 + 289*l**3/3 + 13*l**2. Factor o(n).
2*(n + 17)**2
Let z = 1/175 + 199/175. Let d(n) = n + 9. Let w be d(-7). What is o in 2/7*o**5 - 8/7*o**4 - 10/7*o + 4/7*o**w + 4/7 + z*o**3 = 0?
-1, 1, 2
Factor 4/5 - 4/5*k**2 - 8/5*k**3 + 8/5*k.
-4*(k - 1)*(k + 1)*(2*k + 1)/5
Factor -j**3 + 1387*j**2 - 1395*j**2 - j**3 - 2*j**3.
-4*j**2*(j + 2)
Let i be (5 - 11)*(-1)/(-2). Let r(d) = -d**3 - 2*d**2 + 2*d. Let c be r(i). Find f, given that -c*f**3 - f**4 - 8*f**2 + 3*f + f**5 + 7*f**2 + 2*f**4 - f = 0.
-2, -1, 0, 1
Let c be 26/10 + 12/30 - 0. Factor 4*i**5 - i**3 + 4*i**4 - i**2 - c*i**3 - i**2 - 2*i**2.
4*i**2*(i - 1)*(i + 1)**2
Let g(t) = -t**3 + 6*t**2 + 2*t - 5. Let a be g(6). Suppose -2*m**3 - a*m**3 - m**3 - 5*m**4 - 4*m**5 + 9*m**5 = 0. Calculate m.
-1, 0, 2
Let n = 2/2391 - -793/4782. What is x in -1/3 - n*x + 1/6*x**2 = 0?
-1, 2
What is c in 69*c - 30*c + 7*c - 8*c**2 - 3*c**3 - 16*c - c**2 = 0?
-5, 0, 2
Let k(l) be the third derivative of -l**6/480 - 79*l**5/80 - 6241*l**4/32 - 493039*l**3/24 - 280*l**2. What is a in k(a) = 0?
-79
Let d(f) be the second derivative of 11*f - 2/9*f**3 - 5/18*f**4 + 0 + 0*f**2. Factor d(p).
-2*p*(5*p + 2)/3
Let k = -14153 - -14153. Factor k*u + 3*u**4 - 3/2*u**3 + 0 + 5/2*u**5 - 2*u**2.
u**2*(u + 1)**2*(5*u - 4)/2
Let r(h) be the second derivative of 2*h**7/21 - 8*h**6/15 + 2*h**5/5 + 4*h**4/3 - 2*h**3 - 97*h. Let r(u) = 0. What is u?
-1, 0, 1, 3
Let l(a) be the third derivative of -6*a - 1/210*a**6 + 4*a**2 + 0 - 4/7*a**3 + 0*a**5 + 1/6*a**4. Factor l(s).
-4*(s - 2)*(s - 1)*(s + 3)/7
Let q(b) = -b**3 + b**2 + 8*b - 2. Let w be q(3). Factor -2/13*s**3 + 0*s - 2/13*s**w + 0*s**2 + 0.
-2*s**3*(s + 1)/13
Let l(t) be the first derivative of -9*t**5 - 10*t - 165/4*t**4 + 5 - 185/3*t**3 - 75/2*t**2. Determine v so that l(v) = 0.
-2, -1, -1/3
Let x be (-6)/5*(-10)/4. Suppose -n - b - 3 = 0, -x*n + 2*b + 18 = n. Let 32*t + 0*t**2 + 6*t**3 + 10*t**n + 16*t**2 + 8 = 0. Calculate t.
-2, -1/3
Let x(q) = -11*q**4 + 33*q**3 - 35*q**2 + 21*q - 2. Let c(h) = -32*h**4 + 97*h**3 - 104*h**2 + 62*h - 6. Let j(i) = 6*c(i) - 17*x(i). Let j(v) = 0. What is v?
1/5, 1, 2
Let l(g) be the first derivative of -g**4/2 - 16*g**3/3 - 13*g**2 - 12*g - 30. Find j, given that l(j) = 0.
-6, -1
Suppose -4*c - c + 2*b = 0, 3*b = -2*c + 19. Suppose -2*t + 15 = 20*j - 15*j, -5*t + 9 = 3*j. Factor 1/4*k**4 - k**j + 0 - 1/2*k + 5/4*k**c.
k*(k - 2)*(k - 1)**2/4
Suppose -v + 5 = 5*w, 4*w + 5 = -2*v + 3*v. Suppose w*q - 4*q = -20. Let -6*j - 4*j + j - 2 - 2*j**2 + q*j = 0. What is j?
-1
Suppose -3 = -8*v + 13. Factor 0*o + 2/11*o**v - 2/11.
2*(o - 1)*(o + 1)/11
Factor -23/2*q - 25 + 1/2*q**2.
(q - 25)*(q + 2)/2
Let s(b) = 5*b + 17. Let d(c) = -1. Let k(v) = -6*d(v) - s(v). Let j be k(-3). Suppose 18/7*q**3 + 36/7*q + 3/7*q**j + 12/7 + 39/7*q**2 = 0. Calculate q.
-2, -1
Let k(t) be the first derivative of -5/12*t**4 + 0*t**2 + 1 + 1/15*t**5 + 0*t + 4/9*t**3. Determine y so that k(y) = 0.
0, 1, 4
Determine s so that 2/7*s**4 + 0 - 46/7*s**3 + 44/7*s**2 + 0*s = 0.
0, 1, 22
Let l = -804/5 - 547/10. Let x = -215 - l. Let 3/2*g**2 - 2 - x*g**3 + 0*g = 0. What is g?
-1, 2
Let t = 16 + -12. Suppose t = -4*m + 6*m. Suppose -10*x**5 - 3*x**3 + x**3 - 8*x**m + 6*x**2 - 2*x**2 + 16*x**4 = 0. What is x?
-2/5, 0, 1
Suppose 39*w**3 - 3120*w - 164*w**3 + 24 - 3975*w**2 - 224 - 28 - 392 = 0. What is w?
-31, -2/5
Let r = 179 - 181. Let d be (25/15 - -3)/(r/(-1)). Determine q so that 7/3*q**2 - 2/3*q**5 - 1/3*q - 1/3*q**4 - 2/3 + d*q**3 = 0.
-1, 1/2, 2
Let t(s) be the first derivative of -s**7/84 + 3*s**5/20 + s**4/3 + s**3/4 - 26*s - 10. Let m(x) be the first derivative of t(x). Factor m(p).
-p*(p - 3)*(p + 1)**3/2
Let a(s) be the second derivative of -s**4/54 + 140*s**3/27 - 4900*s**2/9 + 342*s. Factor a(f).
-2*(f - 70)**2/9
Let n = 1757 + -1753. Let g(v) be the first derivative of -2/5*v**5 + 2*v**3 - 1/2*v**4 + n*v - 13 + 5*v**2. Factor g(h).
-2*(h - 2)*(h + 1)**3
Suppose 5*k - 13 - 17 = 0. Let t(u) = -u**2 + 5*u + 8. Let y be t(k). Factor -h**5 - 2*h**y + 3*h**4 - 3*h - 1 - 3*h**5 + 5*h**5 + 2*h**3.
(h - 1)*(h + 1)**4
Let n(z) be the first derivative of 49/9*z**3 - 28/3*z**2 + 16/3*z - 8. Find v such that n(v) = 0.
4/7
Let n(m) = 2*m**3 - 20*m**2 + 5*m - 14. Let o be n(9). Let x = -509/4 - o. Factor x*z**3 + 0*z + 0 - 3/2*z**2.
3*z**2*(5*z - 2)/4
Suppose z = -3*z - 8. Let q be (-70)/(-30) + z/(-3). Solve -7*f - q*f + 9*f + f**3 + 0*f**3 = 0 for f.
-1, 0, 1
Suppose -5*q - 2*q = 14. Let a be 4 + q + (-56)/(-7). Factor 8 - 8*m**2 - 60*m + a - 68 - 10*m**2.
-2*(3*m + 5)**2
Suppose 23 = 4*c - 29. Let y = -9 + c. Factor -4*u**4 + u**2 - u**5 + 5*u**3 - 2*u**2 + 5*u**5 - y*u**4.
u**2*(u - 1)*(2*u - 1)**2
Suppose -3*z = -5*z + 4. Suppose 6*p - 2*p - 202 = -u, -374 = -2*u + z*p. What is y in -2*y + 2*y + u*y**2 - 189*y**2 - y**4 = 0?
-1, 0, 1
Let k(m) be the second derivative of -m**5/30 - 5*m**4/12 - 4*m**3/3 - 17*m**2 + 16*m. Let y(s) be the first derivative of k(s). Factor y(z).
-2*(z + 1)*(z + 4)
Let x = 50 + -51. Let g be x*(-6)/8 - (-9)/(-12). Find p, given that g + 0*p**3 + 1/2*p + p**4 - p**2 - 1/2*p**5 = 0.
-1, 0, 1
Let r(k) = 4*k**2 - 1. Let n be r(-1). Factor 7*c**4 - 8*c**2 - 7*c**2 - n*c**4 + c**4 + 10*c.
5*c*(c - 1)**2*(c + 2)
Suppose -5*v = -4*h - 5, -13*h = -5*v - 18*h + 50. Let z(t) be the third derivative of 0 + 0*t**3 - 1/48*t**4 - 9*t**2 - 1/120*t**v + 0*t. Factor z(m).
-m*(m + 1)/2
Suppose 0 = -r - 6*r - 21. Let p(v) = -5*v**3 + 3*v**2 + 2*v. Let i(q) = 14*q**3 - 8*q**2 - 6*q. Let g(z) = r*i(z) - 8*p(z). Factor g(u).
-2*u*(u - 1)*(u + 1)
Let l(h) be the third derivative of h**8/20160 + h**7/420 + 11*h**6/720 - h**5/6 - 54*h**2. Let k(q) be the third derivative of l(q). Factor k(f).
(f + 1)*(f + 11)
Let n(m) be t