 150/11 = 0. Calculate g.
-5, -3, 1
Let i(y) = y**3 - 12*y**2 - 12*y - 11. Let m = -55 - -68. Let u be i(m). Solve t**3 - t**5 + 11*t**2 + 2*t**5 + 19*t**3 + 8*t**4 + 5*t**u = 0 for t.
-4, -2, 0
Let o be 16/72 + -34*57/(-17442). Suppose 44/3*i - o*i**2 - 43/3 = 0. Calculate i.
1, 43
Let t(x) be the second derivative of -x**4/4 - 205*x**3/3 - 13467*x**2/2 + 7*x + 9. Let y(b) = -2*b**2 - 273*b - 8978. Let r(k) = 5*t(k) - 8*y(k). Factor r(f).
(f + 67)**2
Let a(l) be the third derivative of l**9/37800 - l**8/16800 - 301*l**4/24 + 198*l**2. Let g(r) be the second derivative of a(r). Factor g(o).
2*o**3*(o - 1)/5
Let y(z) be the first derivative of -3*z**2 - 7*z + 21 - 5/3*z**3. Let i(p) = -p**2 - p - 1. Let w(r) = 30*i(r) - 5*y(r). Factor w(o).
-5*(o - 1)*(o + 1)
Let o be ((-18)/(-36))/(2/264). Let y(t) be the first derivative of -12 + 12*t - 2*t**2 + t**4 - o*t**3 + 62*t**3 + t**4 - t**4. Factor y(z).
4*(z - 3)*(z - 1)*(z + 1)
Let c(v) be the first derivative of -9/5*v + 147 - 3/5*v**2 + 1/5*v**3. Let c(h) = 0. What is h?
-1, 3
Let w(u) = 16*u**2 - 27*u**2 - 2*u + 14*u**2 + 6*u**3. Let z be w(1). Factor -11 + 4*r**3 - 8*r + 4*r**2 + 4 + z.
4*r*(r - 1)*(r + 2)
Determine c so that 116/5*c + 117/5 - 1/5*c**2 = 0.
-1, 117
Let c(k) be the second derivative of k**5/5 - k**4/3 - 148*k**3/3 + 288*k**2 - 116*k - 11. Factor c(d).
4*(d - 8)*(d - 2)*(d + 9)
Suppose 35 = 4*p + 19. Factor 36*c**p - 42*c - 6*c + 324*c**2 - 132*c**3 + 4*c**5 - 184*c**2.
4*c*(c - 1)**3*(c + 12)
Let z = 1946 + -1944. Let r(g) be the first derivative of 15/4*g**4 + g**5 - 10*g - 15/2*g**z - 26 + 5/3*g**3. Find i such that r(i) = 0.
-2, -1, 1
Suppose 610*d - 650*d + 237 = 77. Let t(m) be the second derivative of -15/2*m**2 + 3*m**3 - 17*m + 0 - 1/4*m**d. Factor t(n).
-3*(n - 5)*(n - 1)
Let x(z) be the third derivative of 3/40*z**6 + 5/4*z**5 + 53/8*z**4 + 15/2*z**3 + 2 + 42*z**2 + 0*z. Factor x(a).
3*(a + 3)*(a + 5)*(3*a + 1)
Let g(q) be the first derivative of -1/360*q**6 - 1/6*q**4 - 23/3*q**3 + 0*q + 0*q**2 + 15 - 1/30*q**5. Let m(b) be the third derivative of g(b). Factor m(l).
-(l + 2)**2
Let i be (-12 - -3)/(-8 - -5). Let t(n) be the second derivative of 0*n**2 + 0 + 0*n**i + 1/39*n**4 - 3/130*n**5 + 1/195*n**6 + 7*n. Factor t(q).
2*q**2*(q - 2)*(q - 1)/13
Let a(h) be the third derivative of h**5/120 - 293*h**4/12 + 85849*h**3/3 - 15*h**2 + 30. Suppose a(n) = 0. What is n?
586
Suppose 0 = 3*k - 4*k + 2*h + 13, 4*k = -2*h + 22. Let v be -8 - ((-78)/30 - k). Determine f, given that v*f + 0 + 4*f**2 + 4/5*f**4 + 16/5*f**3 = 0.
-2, -1, 0
Let h be ((-22)/(-8) - 14/(-56)) + 0. Suppose 4*r = 4*j, 0 = -r - 8*j + h*j. Factor 0*v**3 + 3*v**2 + 2*v**3 + r*v**2 - 13*v**2.
2*v**2*(v - 5)
Suppose 3*c - 158 = 598. Factor 46*y**4 + 3*y**5 + 1666*y - c - 3*y**5 + 938 + 2*y**5 + 380*y**3 + 1316*y**2.
2*(y + 1)**2*(y + 7)**3
Suppose -4*s + 4*b = 104, -4*b = -5*s - 9 - 124. Let m = -14 - s. Factor -m*h + 11*h + 8*h + 12*h**2 + 8*h**3.
4*h*(h + 1)*(2*h + 1)
Let c = -5 + -2. Let q = -2 - c. Factor -i**q + 12*i**3 + 12*i**4 - 2*i**5 + 7*i**5 + 5*i**2 - i**2.
4*i**2*(i + 1)**3
Let u(w) be the second derivative of -5*w**7/14 - 35*w**6/3 + 201*w**5/4 - 75*w**4 + 130*w**3/3 - 4*w - 84. Suppose u(v) = 0. What is v?
-26, 0, 2/3, 1
Let n = -784 + 780. Let r be (-3)/n + 70/(-280). Factor -1 - 1/2*o**3 - 3/2*o**2 + r*o**4 + 5/2*o.
(o - 1)**3*(o + 2)/2
Factor -4/3*m**3 + 0 - 127/9*m**2 - 38/3*m + 1/9*m**4.
m*(m - 19)*(m + 1)*(m + 6)/9
Let n(l) be the second derivative of l**7/14 - l**6/2 - 21*l**5/2 + 5*l**4 + 132*l**3 + 3*l. Find o such that n(o) = 0.
-6, -2, 0, 2, 11
Let r = -1459847/3 + 486616. Find y, given that -5/3 - r*y**2 + 2*y = 0.
1, 5
Let l be (-568)/20 + 4 - (-3)/(-5). Let o be -13 - (l + 18) - 10*-1. Suppose -2*b**o - 14/5*b**3 + 16/5*b + 8/5 - 2/5*b**5 + 2/5*b**2 = 0. Calculate b.
-2, -1, 1
Let h = 376 + -316. What is k in -5*k - 27*k + 8*k - 2*k**2 - h + 5*k**2 = 0?
-2, 10
Let y(r) = -2*r**2 - 190*r - 1228. Let s be y(-7). Determine m so that 6 + 2/3*m**2 - s*m = 0.
3
Let g(y) be the third derivative of y**8/4032 - 5*y**7/1008 + y**6/24 + 11*y**5/60 + 56*y**2 - y. Let d(z) be the third derivative of g(z). Factor d(l).
5*(l - 3)*(l - 2)
Let p(c) be the first derivative of -c**6/90 - 7*c**5/30 - 5*c**4/3 - 295*c**3/3 - 185. Let g(z) be the third derivative of p(z). Factor g(n).
-4*(n + 2)*(n + 5)
Let u = -124883/3 + 41637. Factor -2/9*k**2 - 98 - u*k.
-2*(k + 21)**2/9
Let t(u) be the second derivative of -u**5/20 + 55*u**4/8 - 79*u**3/12 - 123*u**2/2 + 3140*u. What is f in t(f) = 0?
-1, 3/2, 82
Suppose -8*a**2 - 92/7*a**3 + 90/7*a - 16/7*a**4 + 2/7*a**5 + 72/7 = 0. Calculate a.
-3, -1, 1, 12
Let d(v) be the second derivative of -2*v**6/105 + 6*v**5/35 - 4*v**4/7 + 16*v**3/21 + 2*v - 419. Find a, given that d(a) = 0.
0, 2
Suppose 0 = -3*j + 5*j - 10. Suppose -5*n + 3 = 4*l, 0 = 3*l - 0*l + j*n - 1. Factor -3*b**2 - 16*b - 61 - b**l + 49.
-4*(b + 1)*(b + 3)
Let i be ((-23664)/(-176))/29 - 108/66. Let 19/2*u**2 - 1/2*u**i - 35/2*u + 17/2 = 0. Calculate u.
1, 17
Let w(k) be the first derivative of k**4/2 - 44*k**3/3 - 221*k**2 + 1044*k + 5778. Suppose w(x) = 0. Calculate x.
-9, 2, 29
Let f(j) = -j**3 + 9*j**2 - 3*j + 29. Let v be f(9). Find d such that -4*d**3 - 10*d + 52*d**v - 37*d**2 - d**3 = 0.
0, 1, 2
Suppose 3*u + 3*s + 23 - 20 = 0, -4*u = 5*s + 7. Determine i, given that 36*i + 13*i**u + 18*i**2 - 27*i**2 = 0.
-9, 0
Let c(s) be the third derivative of s**7/210 + 17*s**6/120 + s**5/4 - 17*s**4/24 - 8*s**3/3 - 2527*s**2. Factor c(j).
(j - 1)*(j + 1)**2*(j + 16)
Let z(t) = -3*t + 11. Let h be z(5). Let q be -1*10/(-4)*(-8)/h. Solve 3*s + q*s**2 - 3*s + 3*s + 0*s**2 = 0 for s.
-3/5, 0
Factor -493/3*j + 982/3 + 1/3*j**2.
(j - 491)*(j - 2)/3
Let n = -11570 + 1851207/160. Let v(p) be the second derivative of -1/4*p**3 + 3/32*p**4 + 0 + n*p**5 - p - 1/4*p**2. Factor v(a).
(a - 1)*(a + 2)*(7*a + 2)/8
Factor 1026 - 712*m**2 + 715*m**2 + 112*m + 4*m - 5*m.
3*(m + 18)*(m + 19)
Let u(v) be the second derivative of 1/6*v**4 + 1/10*v**5 - 1/15*v**6 + 3 + 0*v**2 + 16*v - 1/3*v**3. Determine c so that u(c) = 0.
-1, 0, 1
Let b(f) be the second derivative of 1/90*f**5 - 32/9*f**2 - 5/9*f**4 + 1 - 7/3*f**3 - 33*f. Let b(l) = 0. Calculate l.
-1, 32
Let a = -360582/155 + 4586/31. Let y = -2168 - a. Factor y*o - 24/5 + 112/5*o**2.
4*(4*o + 3)*(7*o - 2)/5
Let h = 3533 + -3533. Let l(g) be the second derivative of h*g**2 + 1/12*g**3 + 0 - 1/72*g**4 + 5*g. Factor l(o).
-o*(o - 3)/6
Let l(g) = 3*g**2 + 21*g + 14. Let q(s) = -6*s + 40. Let r be q(6). Let z(i) = 8*i**2 + 60*i + 41. Let t(d) = r*z(d) - 11*l(d). Factor t(f).
-(f - 10)*(f + 1)
Let l(d) = -3. Let p(j) = -j**2 - 8*j + 29. Let y(r) = 6*l(r) + 2*p(r). Let c be y(-10). Let 0 + 1/2*u**2 + 1/2*u**3 + c*u = 0. What is u?
-1, 0
Let q(w) = -w**2 - 16*w - 25. Let j be q(-14). Suppose -2*s + 3*k + 31 = 0, 2*k = -j + 9. Factor 13 - 21 - 5*h**2 + 8 + s*h.
-5*h*(h - 4)
Find q, given that 2500*q + 1579*q**3 - 106*q**4 - 4828*q**2 + 878*q**2 - 441*q**3 + 6*q**5 - 4*q**5 + 416*q**3 = 0.
0, 1, 2, 25
Let n be 7098/(-4368)*(-4)/26. Factor -1/4*g**2 + n - 1/4*g + 1/4*g**3.
(g - 1)**2*(g + 1)/4
Let x be (-80)/60 - (-2 + 606/(-9)). Factor -125*d - 4*d**3 + 68*d - 24 + 2*d**4 - 19*d + 10*d**4 - x*d**2.
4*(d - 3)*(d + 1)**2*(3*d + 2)
Let q(i) be the first derivative of -i**2/2 - 8*i - 34. Let r be q(-19). Let r*b**2 + 9*b**2 + b**3 - 17*b**2 = 0. Calculate b.
-3, 0
Let t(j) be the third derivative of -j**7/525 + 11*j**6/300 - 4*j**5/25 - j**4/15 + 32*j**3/15 + 959*j**2. Determine i so that t(i) = 0.
-1, 2, 8
Suppose -n + 20 = 16. Suppose m + n*a = 12, -6 + 16 = 4*m - 3*a. Find w such that 6/5*w**m - 3/5*w**3 + 0 + 0*w + 0*w**2 - 3/5*w**5 = 0.
0, 1
Find b, given that -40/7 - 16/7*b**3 - 2/7*b**4 + 16/7*b + 6*b**2 = 0.
-10, -1, 1, 2
Suppose -215 + 385 = 10*y. Let z be 10/(-85) - (-2)/y. Determine x so that -4/3*x**3 + z*x - 2/3*x**2 + 0 - 2/3*x**4 = 0.
-1, 0
Suppose 0 = -0*z - 5*z + 200. Suppose -8*j + 40 = -z. Find a such that -2*a + j*a**2 + a**2 - 1 - 12*a**2 = 0.
-1
Let k be 2633/(-4620) - (-111)/(-259) - -1. Let v(l) be the third derivative of -1/66*l**5 - 4/33*l**3 + 0 + 0*l - k*l**6 + 9*l**2 - 2/33*l**4. Factor v(h).
-2*(h + 1)*(h + 2)**2/11
Factor 35*y + 20164 + 3*y**2 - 20