-1. Let r(t) = -t**3 + 6*t**2 - 4*t - 1. Let w be r(5). Let 2*l**w - 4*l**2 + l - 3*l - 2*l**q + 3*l + 2 + l**5 = 0. What is l?
-2, -1, 1
Let n(i) = 2*i**4 + 8*i**3 - 5*i**2 - 8*i + 3. Let y(k) be the first derivative of k**3/3 - k - 21. Let x(u) = -n(u) - 3*y(u). Suppose x(m) = 0. Calculate m.
-4, -1, 0, 1
Let s = 331923/6683 - 2/20049. Let m = 53 - s. Determine g so that -4/3*g**2 - 8/3*g**3 + 8/3*g**4 - 2/3*g**5 + m*g - 4/3 = 0.
-1, 1, 2
Let f = -1944/115 - -398/23. Solve 0 - 3/5*k**2 - f*k + 0*k**3 + 1/5*k**4 = 0.
-1, 0, 2
Let g(v) = -v**3 + 3*v**2 - v - 1. Let x(m) = 16*m**3 + 18*m**2 - 102*m + 2. Let d(w) = 2*g(w) + x(w). Solve d(j) = 0 for j.
-26/7, 0, 2
Let q be (0 + -1)/(3/(-9)). Let -19*y**3 + 15*y - 11 + 4*y**q + 1 + 10*y**2 = 0. What is y?
-1, 2/3, 1
Let w(z) = 4*z**3 + 26*z**2 - 54*z + 29. Let a(l) = l**3 - l**2 - 1. Let x(y) = -5*a(y) - w(y). Solve x(i) = 0 for i.
-4, 2/3, 1
Factor -1/5*j**2 - 61/5 - 62/5*j.
-(j + 1)*(j + 61)/5
Let a = -17 + 19. Suppose -a*c + 0*c - 2*v = -6, 3*c + 3 = 3*v. Factor 1 + 3 - c - 3*t**2.
-3*(t - 1)*(t + 1)
Let h(i) be the first derivative of -i**3 + 1/8*i**4 + 3*i + 9/4*i**2 - 6. Let j(q) be the first derivative of h(q). Let j(u) = 0. Calculate u.
1, 3
Let z = -4234 - -4261. Let -27/2*n**5 + 0 - 5*n**2 - 18*n**3 - z*n**4 - 1/2*n = 0. Calculate n.
-1, -1/3, 0
What is o in -29*o**2 + 51*o**4 + 30*o**3 - 57*o**2 + 11*o**2 - 54*o**4 = 0?
0, 5
Let p(w) be the second derivative of w**7/630 - w**5/30 + w**4/9 - 4*w**3/3 - 6*w. Let f(z) be the second derivative of p(z). Factor f(i).
4*(i - 1)**2*(i + 2)/3
Let o = -18617/4 + 4673. Factor -3 - 3/4*z**5 - o*z**2 - 57/4*z**3 - 21/4*z**4 - 12*z.
-3*(z + 1)**3*(z + 2)**2/4
Let n be (-36)/(-5 - -2) - 3. Let t(a) be the third derivative of -n*a**2 + 0*a - 16/21*a**3 - 1/210*a**5 - 2/21*a**4 + 0. Solve t(b) = 0.
-4
What is a in -12*a**2 + 8*a**3 - 808*a**4 - 808*a**4 + 1620*a**4 - 16 - 32*a = 0?
-2, -1, 2
What is p in 10*p**2 - 7 + 6 + 2*p**2 - 16*p + p**3 + 3*p**3 - 47 = 0?
-3, -2, 2
Let l be (3 - 2 - -5) + 216/(-36). Factor 2/7*y**5 + 0 + 0*y + 0*y**2 + 0*y**3 + l*y**4.
2*y**5/7
Suppose 3*y - 3 = -i - 1, -2*i = y + 6. Factor -4*j**y + 5*j**5 - j**5 + 5*j**3 - 12*j**4 + 7*j**3.
4*j**2*(j - 1)**3
Let t(n) = n**2 + 10. Let w(m) = -3*m**2 + 10*m - 42. Let d(p) = -5*t(p) - w(p). Factor d(v).
-2*(v + 1)*(v + 4)
Let h(o) be the third derivative of o**5/12 - 5*o**4/6 - 25*o**3/6 + o**2 - 44*o. Factor h(u).
5*(u - 5)*(u + 1)
Determine k, given that 13225/3*k**2 + 4/3 + 460/3*k = 0.
-2/115
Let d be (-9 + 9)/((-4)/(-2)). Let o be d - (26/(-24) - 7/(-21)). Factor 0*g - 3/4*g**3 + o*g**4 - 1/4*g**5 + 0 + 1/4*g**2.
-g**2*(g - 1)**3/4
Let x(n) be the first derivative of n**6/24 - n**5/4 + 5*n**4/8 - 5*n**3/6 + 15*n**2/2 + 3. Let p(s) be the second derivative of x(s). Factor p(c).
5*(c - 1)**3
Let v(t) be the second derivative of t**2 - 1/30*t**6 - 1/2*t**3 + 0 - 1/12*t**4 + 3/20*t**5 + 22*t. Factor v(x).
-(x - 2)*(x - 1)**2*(x + 1)
Let h be (-23 - (-6135)/270)*(-4)/5. Let t be ((-1)/9)/(1/(-2)). Factor t*j**3 + 0 + h*j + 4/9*j**2.
2*j*(j + 1)**2/9
Let s = -18211 + 18213. Let -2/3*v - 2/3*v**3 + 0 + 4/3*v**s = 0. Calculate v.
0, 1
Let f(l) = 2*l**4 - 2*l**3 + l + 2. Let i(b) = -16*b**4 + 28*b**3 - 12*b**2 - 10*b - 20. Let a(n) = 10*f(n) + i(n). Factor a(d).
4*d**2*(d - 1)*(d + 3)
Let q(r) be the second derivative of -r**8/1344 - r**7/168 + r**5/6 - 2*r**4/3 - 15*r. Let f(x) be the third derivative of q(x). Solve f(o) = 0 for o.
-2, 1
Let f(s) be the third derivative of -s**7/1155 - 7*s**6/660 - s**5/22 - 3*s**4/44 + 88*s**2. Factor f(k).
-2*k*(k + 1)*(k + 3)**2/11
Let s(i) be the second derivative of -i**4/12 + 4*i**3 - 23*i**2/2 - 74*i. Factor s(j).
-(j - 23)*(j - 1)
Let p(y) be the first derivative of -4*y**3/3 - 14*y**2 + 32*y - 26. Find x, given that p(x) = 0.
-8, 1
Let f = -22/205 - 12/41. Let v = f - -26/15. Factor -v*r - 8/3 + 4/3*r**3 + 8/3*r**2.
4*(r - 1)*(r + 1)*(r + 2)/3
Let c be 1/((5 - 177/36)/3). Suppose 100 = -11*t + c*t. Factor 1/4*v**t - 27*v - 3*v**3 + 27/2*v**2 + 81/4.
(v - 3)**4/4
Let k = 125/3948 + 3/188. Let h(s) be the third derivative of 2*s**2 + k*s**4 + 0*s + 4/21*s**3 + 0 + 1/210*s**5. Let h(c) = 0. What is c?
-2
Let d(t) = -8*t**3 - 9*t**2 + 8*t + 4. Let f(c) = -4*c**3 - 4*c**2 + 4*c + 2. Let r(b) = 2*d(b) - 5*f(b). Factor r(j).
2*(j - 1)*(j + 1)*(2*j + 1)
Let d = 4/11 - 14/99. Solve 0*x**4 + 0 + 0*x**2 + d*x**5 - 2/9*x**3 + 0*x = 0 for x.
-1, 0, 1
Let j(d) = -d**2 + 8*d - 11. Let u be j(5). Let h be (u/(-14))/(1/(-7)). What is w in -3*w**2 + 11*w**h + 2*w**3 + 4*w**4 + 9*w**3 + w**3 = 0?
-2, -1, 0
Suppose 4/3*o + 4/3*o**4 - 10/3*o**2 - 1/3*o**5 + 8/3 - 1/3*o**3 = 0. Calculate o.
-1, 2
Let x be -2 + 5 + 23/(966/(-108)). Solve -3/7*p**3 + 0 + 6/7*p + x*p**2 = 0 for p.
-1, 0, 2
Let v(n) be the second derivative of -1/21*n**7 - 5 - n - 2/5*n**6 - 11/10*n**5 - n**4 + 0*n**3 + 0*n**2. Suppose v(d) = 0. Calculate d.
-3, -2, -1, 0
Suppose 5*p = 3*y - 9, -y + 0*p + 3 = -3*p. Let u = -362 + 365. Factor 6*m**4 + 2*m**2 + u*m - 2*m**2 - 6*m**2 - y*m**5.
-3*m*(m - 1)**3*(m + 1)
Let y = 89 + -81. Determine x so that 5*x**4 - x**4 - 12*x**5 - x**2 + 4*x**2 + 20*x**3 - y*x - 7*x**2 = 0.
-1, -2/3, 0, 1
Let b(s) be the first derivative of -s**4/18 - 19*s**3/9 - 70*s**2/3 - 196*s/9 + 367. Solve b(v) = 0 for v.
-14, -1/2
Let i be 2/(-8)*(-75)/150. Factor i*b**4 - 3/8*b**3 - 9/8*b**2 + 0 - 5/8*b.
b*(b - 5)*(b + 1)**2/8
Suppose -5*h + 3*h = -4. Suppose 5*k - 11 = -n - h*n, 3*n - 7 = -4*k. Factor -2*o - 4*o**2 + o - 4*o**k + 0*o - o**5 - 2*o**3 - 4*o**3.
-o*(o + 1)**4
Let r = -104326/63 + 1656. Let o = r + 292/63. Determine c, given that 0 + 4/3*c**3 - o*c**4 + 0*c + 8/3*c**5 + 2/3*c**2 = 0.
-1/4, 0, 1
Let l(w) be the first derivative of 2*w**7/105 + w**6/6 + 3*w**5/5 + 7*w**4/6 + 4*w**3/3 - 5*w**2 + 3. Let m(a) be the second derivative of l(a). Factor m(y).
4*(y + 1)**3*(y + 2)
Let h(p) be the first derivative of -3*p**5/5 - 41*p**4/4 - 25*p**3/3 + 13*p**2/2 + 528. Let h(i) = 0. What is i?
-13, -1, 0, 1/3
Let p(b) = 0*b**2 - 2 + 3*b**2 - 7*b - 16. Let k = -71 - -81. Let r(m) = m**2 - 4*m - 9. Let h(n) = k*r(n) - 4*p(n). Factor h(g).
-2*(g + 3)**2
Let h(o) be the first derivative of 4*o**5/35 - o**4/7 - 4*o**3 + 90*o**2/7 - 106. Find j, given that h(j) = 0.
-5, 0, 3
Suppose 3*b - 299 + 1127 = 0. Let o = 829/3 + b. Suppose -o*x**2 - 4/9*x**3 + 2/9*x**5 + 0 + 2/9*x + 1/3*x**4 = 0. Calculate x.
-2, -1, 0, 1/2, 1
Let p(w) be the second derivative of w**5/300 - 2*w**3/15 - 11*w**2/2 + 11*w. Let s(d) be the first derivative of p(d). Suppose s(q) = 0. Calculate q.
-2, 2
Let s be (-28)/(-35) - 172/(-10). Factor s*c**2 + 22 - 6*c**2 + 2*c**3 + 24*c - 6.
2*(c + 2)**3
Factor 0*q + 0 + 9/4*q**3 - 3/2*q**4 + 3/2*q**2.
-3*q**2*(q - 2)*(2*q + 1)/4
Let i(n) = -3*n**5 + 9*n**4 + 5*n**3 + 11*n**2 + 6*n - 8. Let r(g) = 4*g**5 - 10*g**4 - 4*g**3 - 12*g**2 - 7*g + 10. Let w(y) = -5*i(y) - 4*r(y). Factor w(c).
-c*(c + 1)**3*(c + 2)
Factor 227/5*w**3 + 12769/5*w + 2599*w**2 + 0 + 1/5*w**4.
w*(w + 1)*(w + 113)**2/5
Let l be 57/30 - ((-119)/(-35) + 2 + -5). Find f such that 0*f**2 + 0*f - l*f**4 + 0 + 1/2*f**3 = 0.
0, 1/3
Let s be -3 - (-1 + 39 + -3). Let d = s - -46. Determine a so that -11/2*a - d*a**4 + 7/2*a**5 + 2*a**3 + 1 + 7*a**2 = 0.
-1, 2/7, 1
Let g = 178/45 + -32/9. Let x = -3396 - -3396. Factor 2/5*i**4 - 4/5*i**2 + g + 0*i + x*i**3.
2*(i - 1)**2*(i + 1)**2/5
Factor 3/8*m**3 + 1/8*m**4 - 3/8*m + 0 - 1/8*m**2.
m*(m - 1)*(m + 1)*(m + 3)/8
Let j(g) be the second derivative of -g**7/84 - g**6/10 + 3*g**5/8 - g**4/3 + 8*g + 5. Factor j(d).
-d**2*(d - 1)**2*(d + 8)/2
Suppose 44 = 250*l - 228*l. Factor 3/7 + 15/7*t + 12/7*t**3 + 24/7*t**l.
3*(t + 1)*(2*t + 1)**2/7
Suppose -6 = 3*j, 4*d + 3*j - 19 - 3 = 0. Let i be ((-2)/d)/((-207)/(-42) + -5). Factor -2*o - 4/3*o**2 + 4/3*o**3 + 2/3*o**5 - 2/3 + 2*o**i.
2*(o - 1)*(o + 1)**4/3
Suppose -2/17*a**3 + 16/17*a**2 + 0 + 40/17*a = 0. What is a?
-2, 0, 10
Let s(g) be the second derivative of -5*g**4/12 + 35*g**3/6 + 20*g**2 - 58*g. Factor s(r).
-5*(r - 8)*(r + 1)
Let c be -2 - ((-11)/3 + (-3)/9). Find w such that -9*w**4 + 7*w**4 - 4*w**2 + 2*w**3 + 2*w**4 + c*w**4 = 0.
-2, 0, 1
Let r(t) be the first derivative of -3*t**4/32 + 5*t**3/3 + 29*t**2/16 