 = -6*w**2 - 6*w + 8. Let a(u) = -5*o(u) + 4*q(u). Factor a(x).
2*(x - 4)*(x + 1)
Let j(u) = -9*u**3 + 72*u**2 - 199*u - 274. Let d(v) = -29*v**3 + 217*v**2 - 599*v - 824. Let t(q) = 2*d(q) - 7*j(q). Suppose t(w) = 0. What is w?
-1, 6, 9
Let a(w) = -8*w**2 - 30*w - 10. Let z(b) = b**2 + b + 1. Suppose 0 = -4*m + 6*m - 10, 0 = -4*q - 4*m - 20. Let y(f) = q*z(f) - a(f). Solve y(g) = 0.
0, 10
Let y(d) be the first derivative of d**4/12 + 11*d**3/9 - 25*d**2/6 + 13*d/3 - 33. Factor y(v).
(v - 1)**2*(v + 13)/3
Let v be (1164/(-2910))/(22/(-15) + 1). Suppose 1/7 - v*d - d**2 = 0. Calculate d.
-1, 1/7
Suppose 5*k + d - 191 = 0, 4*k + 8*d - 4*d = 140. Let c = -35 + k. Factor 10/11*r**2 - 4/11*r + 2/11*r**c - 8/11*r**3 + 0.
2*r*(r - 2)*(r - 1)**2/11
Let u be ((-80)/192)/((-25)/8). Let t(b) be the first derivative of 0*b - 1/6*b**4 + 0*b**3 - u*b**5 + 0*b**2 + 2. Factor t(f).
-2*f**3*(f + 1)/3
Let c(w) be the third derivative of w**6/60 - 7*w**5/30 + 7*w**4/6 - 8*w**3/3 - 238*w**2. Factor c(g).
2*(g - 4)*(g - 2)*(g - 1)
Let a(l) be the third derivative of -1/84*l**4 - 1/30*l**5 - 2/105*l**6 + 0 + 5*l**2 + 0*l + 16/735*l**7 + 0*l**3. What is t in a(t) = 0?
-1/4, 0, 1
Let h(o) be the second derivative of o**6/15 + 7*o**5/10 + 4*o**4/3 - 16*o**3/3 - 36*o. Let h(r) = 0. What is r?
-4, 0, 1
Let k(c) = 23*c**4 + 33*c**3 - 2*c**2 - 8*c - 4. Let t(i) = -24*i**4 - 33*i**3 + 6*i + 3. Let f(d) = 3*k(d) + 4*t(d). Suppose f(g) = 0. What is g?
-1, -2/9, 0
Suppose -2 - 7484*i + 7486*i - 2*i**2 + 3*i**2 + 6 - 3*i**2 = 0. What is i?
-1, 2
Let l(f) be the first derivative of 1/16*f**4 + 0*f**2 + 33 + 0*f + 5/6*f**3. Solve l(d) = 0.
-10, 0
Factor -243573*x**3 - 280192*x**2 - 62967*x**3 - 333412*x**3 - 324*x**5 - 30976*x - 28656*x**4.
-4*x*(x + 44)**2*(9*x + 2)**2
Let t = 211 + -205. Let g(s) = 2 + 4 - 43*s**2 + 4. Let p(c) = -44*c**2 + 9. Let m(i) = t*p(i) - 5*g(i). Factor m(l).
-(7*l - 2)*(7*l + 2)
Let c(b) be the third derivative of -b**6/420 + 11*b**5/70 - 121*b**4/28 + 1331*b**3/21 + 12*b**2. Determine j, given that c(j) = 0.
11
Let 4/3*y + 1/3*y**4 - 3*y**2 + 0*y**3 + 4 = 0. What is y?
-3, -1, 2
Let a be 0/(-2) + 28/10. Factor 6*c - 18/5 + 2/5*c**3 - a*c**2.
2*(c - 3)**2*(c - 1)/5
Let z be (560/(-144))/(-1) + ((-8)/(-2))/36. Determine d so that 54*d**3 - 77/3*d**z + 0*d - 89/3*d**2 + 4/3 = 0.
-2/11, 2/7, 1
Suppose 3*f - 17 = -5, 2*j = -5*f - 310. Let w = 167 + j. Factor 3/4*l + 9/8 - 3/8*l**w.
-3*(l - 3)*(l + 1)/8
Suppose -47 + 22*x - 30 + 4*x**3 + 53 + 15*x**2 + 35*x**2 = 0. What is x?
-12, -1, 1/2
Let n be (1 + 106/(-108))*(24 - 16). Let l(o) be the first derivative of 0*o + 1/18*o**4 + 4/45*o**5 - n*o**3 - 1/9*o**2 + 6. Solve l(y) = 0.
-1, -1/2, 0, 1
Let f(x) be the first derivative of -1/13*x**2 + 8 + 11*x - 1/78*x**4 + 2/39*x**3. Let y(t) be the first derivative of f(t). What is m in y(m) = 0?
1
Let l(n) be the first derivative of n**6/33 + 10*n**5/11 + 101*n**4/11 + 1316*n**3/33 + 805*n**2/11 + 650*n/11 + 727. Solve l(a) = 0.
-13, -5, -1
Let w(r) = 3*r**5 - 2*r**3 + 13*r**2 + 7*r. Let u be 23/5 - (-12)/(-20). Let g(t) = -t**5 + t**3 - 4*t**2 - 2*t. Let p(z) = u*w(z) + 14*g(z). Factor p(d).
-2*d**2*(d - 1)**2*(d + 2)
Suppose 19*i + 20*x - 15*x = 77, 0 = -3*i + 4*x - 7. Factor 0 - 4/3*a**2 + 1/3*a**i + 0*a.
a**2*(a - 4)/3
Let k(g) be the first derivative of 5*g**6/6 - g**5 - 5*g**4/2 - 197. Solve k(a) = 0.
-1, 0, 2
Suppose 4*c = -u + 20, -5*c + 22 = 2. Find w, given that 7*w - 23*w - 4 - u*w**2 + 8*w = 0.
-1
Factor 2/5*h**3 + 26/5 + 22/5*h**2 - 10*h.
2*(h - 1)**2*(h + 13)/5
Let n(h) be the first derivative of -12 + 0*h + 2/9*h**3 - 2/3*h**2. Let n(d) = 0. Calculate d.
0, 2
Factor 16/3 - 2/3*w**4 + 10/3*w**3 - 4*w**2 - 8/3*w.
-2*(w - 2)**3*(w + 1)/3
Let z(r) = 9*r**5 + 9*r**4 - 15*r**3 + 3*r**2 + 18*r - 6. Let y(i) = i**5 + i**4 - i**3 + i**2 + 2*i - 1. Let v(n) = -6*y(n) + z(n). Find d such that v(d) = 0.
-2, -1, 0, 1
Suppose -7 = -4*w + 1. Suppose -5*z + w*y = -z + 8, 2*y = -3*z + 8. Suppose l + 0 + 3*l**2 + 2*l + z = 0. What is l?
-1, 0
Let j(l) = 15*l**2 + 2*l + 1. Let a be j(-1). Suppose h + 0*y + 4*y - a = 0, 3*h - 3*y = -3. Suppose 2*v**2 + h*v - 5*v**2 - 2 + v**2 - 6*v = 0. Calculate v.
-1
Let u(i) be the second derivative of -i**6/120 + 5*i**4/48 - i**2/2 + 212*i. Let u(m) = 0. What is m?
-2, -1, 1, 2
Let j(n) = -6*n**3 + 237*n**2 - 6561*n + 59043. Let b(m) = -17*m**3 + 713*m**2 - 19683*m + 177131. Let y(c) = 3*b(c) - 8*j(c). Determine s so that y(s) = 0.
27
Let r(u) be the first derivative of -4*u - 14 + 8/5*u**5 - 3*u**2 + 32/3*u**3 - 15/2*u**4. Factor r(t).
2*(t - 2)*(t - 1)**2*(4*t + 1)
Let m(y) be the first derivative of 15/2*y**2 - 15/4*y**4 + 6*y - 2*y**3 - 6. Factor m(t).
-3*(t - 1)*(t + 1)*(5*t + 2)
Factor -42 - 13*g**3 - 175*g + 986*g - 32*g**3 - 264*g**2 - 460*g.
-3*(g - 1)*(g + 7)*(15*g - 2)
Find w, given that -11/2*w - 5/2*w**3 + 7/4 + 6*w**2 + 1/4*w**4 = 0.
1, 7
Factor -1/2*f**3 + 1/2*f**2 + 0 + 1/2*f - 1/2*f**4.
-f*(f - 1)*(f + 1)**2/2
Let s(d) be the second derivative of 2*d**7/21 + 68*d**6/15 - 71*d**5/5 + 12*d**4 + 214*d. Factor s(l).
4*l**2*(l - 1)**2*(l + 36)
Suppose 0 = 3*o + 10 - 10. Let m(k) be the third derivative of 0*k**3 + o*k**6 - 1/112*k**8 + 2*k**2 + 0*k**4 + 0 + 1/70*k**7 + 0*k + 0*k**5. Factor m(u).
-3*u**4*(u - 1)
Let u = 53 + -51. Solve 4*h**3 + 8*h**2 + 9*h**2 - 21*h**u = 0.
0, 1
Let d = 4145 - 4145. Factor -1/2*r**5 + 0*r + d*r**3 + 0*r**2 + 0 + 1/2*r**4.
-r**4*(r - 1)/2
Let g(z) = z**3 - 11*z**2 - 3*z + 5. Let s be g(11). Let t = s - -28. Factor 0 + 2/3*y**2 + t*y + 2/3*y**4 + 4/3*y**3.
2*y**2*(y + 1)**2/3
Let l = -11 - -17. Suppose v = -v + l. Find m such that -m**2 + 7 + 2*m - 3 + v*m**2 - 2*m**3 - 6*m**2 = 0.
-2, -1, 1
Let x(v) be the third derivative of 9*v**7/490 - 183*v**6/56 - 157*v**5/70 + 29*v**4/2 + 204*v**3/7 - 11*v**2 + 21*v. What is w in x(w) = 0?
-2/3, 1, 102
Factor 28608*f**2 + 0 + 10*f**5 - 1192*f**4 + 175208/5*f**3 + 5760*f.
2*f*(f - 60)**2*(5*f + 2)**2/5
Suppose 2/11*j**5 - 2/11*j**4 - 18/11*j**3 + 24/11 + 2/11*j**2 + 40/11*j = 0. Calculate j.
-2, -1, 2, 3
Let i(a) = a**2 - 1. Let j(c) = 6*c**2 + 2*c - 4. Let g(z) = 16*i(z) - 3*j(z). Suppose g(q) = 0. Calculate q.
-2, -1
Factor 0*j + 3/4*j**4 + 13467/4*j**2 + 201/2*j**3 + 0.
3*j**2*(j + 67)**2/4
Let i(j) be the first derivative of j**6/12 - 9*j**5/10 + 29*j**4/8 - 43*j**3/6 + 15*j**2/2 - 4*j + 60. Factor i(g).
(g - 4)*(g - 2)*(g - 1)**3/2
Let d(f) be the first derivative of 2/5*f**5 - 1/2*f**4 + 19 + 0*f - 2/3*f**3 + f**2. Factor d(h).
2*h*(h - 1)**2*(h + 1)
Let z(b) be the third derivative of 1/12*b**5 + 0 + 5/3*b**4 + 10*b**2 + 40/3*b**3 + 0*b. Factor z(k).
5*(k + 4)**2
Let s(g) be the second derivative of g**8/1680 - g**7/90 + 4*g**6/45 - 2*g**5/5 + 11*g**4/3 - 44*g. Let w(c) be the third derivative of s(c). Solve w(n) = 0.
2, 3
Let m = -1837 - -44093/24. Let h(o) be the third derivative of 0*o**3 + 5/336*o**8 + 0*o**6 + 4*o**2 - 1/6*o**5 + 1/21*o**7 - m*o**4 + 0 + 0*o. Factor h(g).
5*g*(g - 1)*(g + 1)**3
Let -13 + 9*u**2 + 3*u**2 + 4*u**3 + 9 - 4*u - 4*u**4 - 4 = 0. What is u?
-1, 1, 2
Determine f, given that 9/7*f + 12/7 - 3/7*f**2 = 0.
-1, 4
Let b(y) be the first derivative of 2*y**6/21 + 52*y**5/35 + 41*y**4/7 + 188*y**3/21 + 36*y**2/7 + 45. Solve b(s) = 0 for s.
-9, -2, -1, 0
Let w = -1517 - -1520. Solve 2/3*a - 4/3*a**4 + 0 + 8/3*a**w - 20/9*a**2 + 2/9*a**5 = 0.
0, 1, 3
Let g(n) be the third derivative of n**7/2835 - n**6/648 - n**4/4 - 11*n**2. Let t(w) be the second derivative of g(w). Let t(s) = 0. What is s?
0, 5/4
Suppose 163*l = 165*l + 290. Let s be 54/(-15) + 3 - l/75. What is b in 1/3 - 2*b - s*b**3 + 3*b**2 = 0?
1/4, 1
Suppose 2*t + 22*a - 23*a - 8 = 0, -5*t + 15 = -5*a. Let j(i) be the first derivative of 3/4*i**4 + 3/10*i**t + 0*i + 0*i**2 + 1/2*i**3 + 8. Factor j(y).
3*y**2*(y + 1)**2/2
Suppose -3*w - 9 = 0, -15*w + 12*w = -2*q + 9. Let q - 3/4*t**2 + 3*t = 0. Calculate t.
0, 4
Let n(a) = 4 - a**3 - 3*a**3 + 4*a**5 + 8*a**3 + 8*a**4. Let o(k) = 12*k**5 + 24*k**4 + 11*k**3 + 11. Let y(i) = 11*n(i) - 4*o(i). Solve y(j) = 0.
-2, 0
Let f(k) be the second derivative of -k**4/48 - 63*k. Factor f(t).
-t**2/4
Let n(l) = 104*l**2 + 205*l - 101. Let c(x) = x**3 + 156*x**2 + 308*x - 152. Let o(u) = 5*c(u) - 8*n(u). Solve o(p) = 0.
-2, 