 = 3*b**2 - 3*b - 10. Let g(s) = 13*s**2 - 12*s - 40. Let o(f) = 2*g(f) - 9*k(f). Solve o(y) = 0 for y.
-2, 5
Let v(g) be the third derivative of -1/735*g**7 + 0 - 1/420*g**6 + 0*g**3 + 1/84*g**4 + 1/210*g**5 - 3*g**2 + 0*g. Factor v(f).
-2*f*(f - 1)*(f + 1)**2/7
Suppose 2*h + 2*u + 20 = 0, -5*u + u = -2*h - 50. Let g be (1 - h/(-22)) + (-8)/(-44). Factor 0 + g*v**3 + 2*v**2 + 2*v.
v*(v + 2)**2/2
Let w be (-8 + 13 + 760/(-150))/((-2)/12). Let n(a) = 2*a**2 - 4*a + 2. Let c be n(2). Let -2/5*x**c - 2/5*x + w + 2/5*x**3 = 0. Calculate x.
-1, 1
Let a be (25 + 11571/(-475))*(-3)/((-18)/15). What is l in -8/5*l + 0 - a*l**2 + 2/5*l**3 + 2/5*l**4 = 0?
-2, -1, 0, 2
Let l(b) = b**2 + 2*b + 1. Let n = 107 + -158. Let k(f) = -8*f**2 - 16*f - 8. Let p(i) = n*l(i) - 6*k(i). Suppose p(r) = 0. What is r?
-1
Let s(q) be the third derivative of -39*q**2 + 0 + q**4 + 0*q + 1/15*q**5 + 10/3*q**3. Factor s(j).
4*(j + 1)*(j + 5)
Let -2/7*m**3 - 10/7*m**2 - 8/7 - 16/7*m = 0. What is m?
-2, -1
Suppose 0 = -140*r + 143*r + 18, r = 2*q - 12. Factor -3/7*o**q + 3/7*o + 0 + 0*o**2.
-3*o*(o - 1)*(o + 1)/7
Solve 2/7*q**2 + 36/7*q + 64/7 = 0.
-16, -2
Let s(y) be the first derivative of -5 - 7/13*y**2 - 5/26*y**4 - 2/65*y**5 - 6/13*y**3 - 4/13*y. Determine u so that s(u) = 0.
-2, -1
Suppose 0 = 66*x - 62*x - 12. Factor -3*y**4 - x*y**5 + 5*y**4 - y**4 + 2*y**5.
-y**4*(y - 1)
Suppose -2*t + 2*p - 4 = -10, -p - 3 = 3*t. Find w, given that t*w + 1/3*w**2 + 1/3*w**3 + 0 = 0.
-1, 0
Suppose -5*g - 16*w = -13*w - 2, -4*g = 2*w. Let p be (-24)/(-42) - g/(-7). What is i in 0 - 4/7*i**2 - p*i**3 + 0*i = 0?
-2, 0
Factor 24 - 22058*y**3 + 22061*y**3 - 4*y - 15*y**2 + 10*y.
3*(y - 4)*(y - 2)*(y + 1)
Let r = -57401 - -57401. Suppose 4/5*p**2 + r - 8/5*p**3 + 4/5*p**4 + 0*p = 0. What is p?
0, 1
Let l(u) be the second derivative of 21*u + 0 + 0*u**2 + 1/3*u**3 + 1/15*u**6 + 3/10*u**5 + 1/2*u**4. Factor l(q).
2*q*(q + 1)**3
Let v(a) = -29*a**4 + 141*a**3 - 110*a**2 + 31*a. Let u(x) = -6*x**4 + 28*x**3 - 22*x**2 + 6*x. Let h(z) = 22*u(z) - 4*v(z). Suppose h(l) = 0. What is l?
0, 1/4, 1, 2
Let y(b) be the first derivative of 1/7*b**3 + 3/14*b**2 + 1/7*b + 1/28*b**4 + 2. Find t such that y(t) = 0.
-1
Suppose -42*u = -44*u + 78. Factor u*q - 20*q + 17*q + 4*q**2 + 32.
4*(q + 1)*(q + 8)
Let x(s) be the first derivative of s + 1/2*s**4 - 1/2*s**2 - 2/3*s**3 - 8 - 1/6*s**6 + 1/5*s**5. Factor x(c).
-(c - 1)**3*(c + 1)**2
Let u(v) be the third derivative of 0 + 0*v**3 + 2/105*v**5 - 1/420*v**6 - 1/28*v**4 - 5*v**2 + 0*v. Suppose u(j) = 0. What is j?
0, 1, 3
Let n be (-2*88/(-16))/(-1*1). Let u be (462/(-12))/n + -3. What is c in 0 + 2/3*c**2 - 1/3*c**3 - 1/6*c - 2/3*c**4 + u*c**5 = 0?
-1, 0, 1/3, 1
Suppose 5*w - 4*d - 14 = -2*d, -21 = -3*w - 3*d. Suppose 0 = -4*i + 2*h - 2, -w*i = h - 2*h - 3. Factor -1 - m**i + m**2 + 2*m - m**2.
-(m - 1)**2
Let -15*z + 36/5 - 3/5*z**4 + 39/5*z**2 + 3/5*z**3 = 0. Calculate z.
-4, 1, 3
Let l(q) be the second derivative of -q**7/105 + q**6/20 - q**4/3 + 37*q**2/2 - 30*q. Let t(p) be the first derivative of l(p). Suppose t(x) = 0. What is x?
-1, 0, 2
Let h = -2 + 4. Suppose 2*t + m - 13 = 25, t - 3*m = 12. Factor -23 + 17 - 54*i - t*i**h - i**3 - i**3 - 48.
-2*(i + 3)**3
Find a, given that 6*a**2 - 7*a**2 - 3 + 0 + 4 = 0.
-1, 1
Let z(h) be the first derivative of -5*h**2/2 - 7*h + 38. Let d be z(-2). Solve -5/4*j**5 + 0 + 0*j**4 + 5/2*j**d - 5/4*j + 0*j**2 = 0.
-1, 0, 1
Let d(w) be the first derivative of -1/7*w**4 - 3/7*w**2 + 0*w - 10/21*w**3 - 33. Determine y, given that d(y) = 0.
-3/2, -1, 0
Let l(t) be the third derivative of t**7/210 - t**6/90 - t**5/15 - 14*t**3/3 + 24*t**2. Let r(z) be the first derivative of l(z). Factor r(m).
4*m*(m - 2)*(m + 1)
Suppose -14 = t - 3*t - 2*y, 3*t - 3*y = 3. Factor 9*q**3 + 9*q**t + 7*q**2 - q**2 + 3*q**5 - 7*q**2 + 4*q**2.
3*q**2*(q + 1)**3
Suppose 4*l + b - 12 = 0, 0 = -0*l - 3*l - 5*b + 26. Suppose 5*a - m - 18 = 0, -l*a - 4*m = -2*m - 12. Find h such that 4*h**3 - 4*h**3 + 4*h**3 + a*h**2 = 0.
-1, 0
Let b = 87 - -49. Let s = 1226/9 - b. Let -s + 0*t + 2/9*t**2 = 0. What is t?
-1, 1
Factor -26*a - 3*a**2 + 24*a + 20*a - 15.
-3*(a - 5)*(a - 1)
Let o(z) be the second derivative of -z**6/90 - z**5/15 - z**4/18 + 2*z**3/9 + z**2/2 - 3*z - 61. Solve o(h) = 0.
-3, -1, 1
Let w(o) be the second derivative of -o**5/16 - 25*o**4/48 + 205*o**3/24 + 225*o**2/8 + 71*o. Factor w(b).
-5*(b - 5)*(b + 1)*(b + 9)/4
Let z = 0 - -3. Let i = 686 - 681. Factor 14*g**2 - 10*g**2 - 4*g**z - 2*g**4 + 4*g**i - 2*g**4.
4*g**2*(g - 1)**2*(g + 1)
Find g such that 22*g + 1/5*g**2 + 0 = 0.
-110, 0
Let o(w) be the third derivative of w**5/150 + 3*w**4/20 + 8*w**3/15 - 157*w**2. Factor o(c).
2*(c + 1)*(c + 8)/5
Let s = -728 - -735. Let j(y) be the third derivative of 0*y + 0*y**3 + 0 + 1/20*y**6 + s*y**2 + 1/8*y**4 - 3/20*y**5. Factor j(m).
3*m*(m - 1)*(2*m - 1)
Let 47 + 3*m**3 + 0*m**3 + 2*m**2 + m**3 - 47 = 0. What is m?
-1/2, 0
Suppose 33 = 3*r - 18. Let t = -12 + r. Factor 2/3*q**3 - 2/3*q**2 + 0 + 0*q - 2/3*q**t + 2/3*q**4.
-2*q**2*(q - 1)**2*(q + 1)/3
Let s(n) = 34*n - 63. Let w be s(2). Let z(l) be the third derivative of 0 + 1/30*l**w + 0*l - 1/3*l**4 + 4/3*l**3 + l**2. Factor z(g).
2*(g - 2)**2
Let v(n) be the second derivative of -5*n**6/24 - 13*n**5/8 - 3*n**4/16 + 19*n**3/6 - 5*n**2/2 - 232*n. Find y such that v(y) = 0.
-5, -1, 2/5
Let o(u) be the third derivative of u**8/280 + 11*u**7/105 + 23*u**6/20 + 173*u**5/30 + 14*u**4 + 196*u**3/15 - 18*u**2 - 2. Let o(l) = 0. What is l?
-7, -2, -1/3
Let z(h) be the second derivative of -h**4/18 - 10*h**3/3 - 75*h**2 - 95*h. Determine t so that z(t) = 0.
-15
Determine t, given that -54*t + 2*t**2 - 48*t - 51*t**5 + 293*t**5 + 38*t + 8 + 470*t**3 + 638*t**4 = 0.
-1, 2/11
Let a(m) be the first derivative of 1 - 6*m - 2/9*m**3 + 2*m**2. Factor a(b).
-2*(b - 3)**2/3
Let g(q) be the second derivative of -q**7/189 - q**6/27 + q**5/45 + 5*q**4/27 - q**3/27 - 5*q**2/9 - 62*q - 1. Determine m, given that g(m) = 0.
-5, -1, 1
Let k(x) be the third derivative of 0*x**4 + 9/70*x**5 + 0*x**3 + 3/10*x**6 + 0*x + 1/98*x**8 + 0 + 23*x**2 + 5/49*x**7. Factor k(v).
6*v**2*(v + 3)**2*(4*v + 1)/7
Factor 35*b**3 - 175*b + 255*b + 50 + 135*b**2 - 5*b**4 + 65*b.
-5*(b - 10)*(b + 1)**3
Let h(r) = 3*r - 66. Let f be h(22). Let l be 20/11 + 4/22. Determine d so that 0*d + 1/3 + 1/3*d**4 - 2/3*d**l + f*d**3 = 0.
-1, 1
Let h(b) be the first derivative of -3*b**4/4 - 17*b**3 - 132*b**2 - 432*b + 125. Factor h(w).
-3*(w + 4)**2*(w + 9)
Let v be 21/(-35)*(-279)/27 - 6. Solve 169/5 + v*y**2 + 26/5*y = 0 for y.
-13
Let m(k) = k**2 + 3*k + 4. Let z be m(-5). Let r = -3 + z. Find j, given that -10*j**3 + 5*j**5 + 5*j - 11*j**2 + r*j**2 = 0.
-1, 0, 1
Let h(i) be the third derivative of i**5/60 + i**4/8 + i**3/3 - 4*i**2. Let n be h(-3). Factor 3*o + 2*o**2 + 3*o - n*o**3 + 0*o**3 + 2*o**2.
-2*o*(o - 3)*(o + 1)
Let t(q) = -q**2 + 3*q + 9. Let p be t(4). Suppose 91 = 5*v + 4*a, -108 = -p*v - a - 29. Solve 10*n - v*n**2 - 6 + 2*n**3 + 7*n**2 + 2 = 0.
1, 2
Let t = 43 + -31. Suppose 7*c**2 - t*c**2 + 10*c**2 + 5*c**3 = 0. Calculate c.
-1, 0
Let k = 30 + -27. Factor -12*q**2 - 18*q - 2 + 2 - 15*q**k + 13*q**3.
-2*q*(q + 3)**2
Solve -72*w - 25*w**2 - 5*w**4 - 15*w**3 - 178*w + 55*w**3 = 0 for w.
-2, 0, 5
Let k(n) be the third derivative of -n**8/112 - 9*n**7/35 + n**6/20 + 9*n**5/5 - n**4/8 - 9*n**3 + 347*n**2. Determine v, given that k(v) = 0.
-18, -1, 1
Let b(r) = -12*r**3 - 19*r**2 - 37*r - 25. Let u(q) = 7*q**3 + 9*q**2 + 18*q + 13. Let d(f) = 3*b(f) + 5*u(f). Suppose d(j) = 0. Calculate j.
-10, -1
Let o(l) be the second derivative of -1 - 1/28*l**4 - 8/7*l**3 - 2*l - 45/14*l**2. Find z such that o(z) = 0.
-15, -1
Let v = -1/7036 - -14089/119612. Find y, given that -2/17*y**2 + 0*y + 2/17*y**5 - 2/17*y**3 + 0 + v*y**4 = 0.
-1, 0, 1
Let i(m) = -39*m - 191. Let o be i(-5). Let f(x) be the third derivative of 1/21*x**3 + 2*x**2 + 0*x - 1/210*x**5 + 0*x**o + 0. Solve f(u) = 0.
-1, 1
Let d(l) = l**3 - l**2 + 2. Let q be d(0). Suppose -n - 5 = -q*n. Factor -2*t**2 - 6*t**4 - t + 7*t**4 + 2*t**3 - t**n + 0*t**5 + 1.
-(t - 1)**3*(t + 1)**2
Let f(r) be the first derivative of r**6/54 - r**5/15 - 86. What is h in f(h) = 0?
0, 3
Let g(c) be the sec