*y + 1151. What is k in a(k) = 0?
-57, 2/5, 3/5, 1
Let s(n) be the third derivative of 20/3*n**3 + 324*n**2 + 0*n + 0*n**7 + 1/2*n**4 - 19/120*n**6 + 1/336*n**8 - 17/30*n**5 + 0. Factor s(b).
(b - 5)*(b - 1)*(b + 2)**3
Let q(c) be the third derivative of -21/8*c**4 + 0 + 0*c - 1/40*c**6 + 3/5*c**5 + 5*c**3 + 5*c**2. Factor q(r).
-3*(r - 10)*(r - 1)**2
Factor 1776*m**3 + 1499*m + 409*m - 3540*m**2 - 3*m**4 + 304*m - m**4 - 444*m.
-4*m*(m - 442)*(m - 1)**2
Let u(d) be the third derivative of 0 + 1/66*d**4 - 23*d**2 + 1/1848*d**8 + 0*d - 1/220*d**6 - 1/330*d**5 + 0*d**3 + 1/1155*d**7. Let u(c) = 0. What is c?
-2, -1, 0, 1
Suppose -3*r + x + 4 = 2, x - 10 = -3*r. Factor 18*d**2 + 64*d + 512 - 9*d**r - 3*d**2 - 4*d**2.
2*(d + 16)**2
Suppose 2*b - 111*r + 109*r + 1906 = 0, 4*b = 2*r - 3804. Let z = b + 8543/9. Factor z + 0*l - 2/9*l**2.
-2*(l - 1)*(l + 1)/9
Let p(i) be the first derivative of -6*i**5/55 + 19*i**4/11 - 238*i**3/33 + 52*i**2/11 + 64*i/11 + 5739. Determine v, given that p(v) = 0.
-1/3, 1, 4, 8
Let u be 85/(-34) + (5 - -2). Let p(a) be the first derivative of -u*a**2 + 10 - a**3 - 6*a. Factor p(c).
-3*(c + 1)*(c + 2)
Let k(r) be the second derivative of -r**7/315 + 446*r**6/225 + r**5/75 - 446*r**4/45 - r**3/45 + 446*r**2/15 + 814*r - 3. Let k(f) = 0. What is f?
-1, 1, 446
Let q(x) be the second derivative of -9*x + 0 + 0*x**2 - 5/54*x**4 - 2/27*x**3 - 2/45*x**5 - 1/135*x**6. Factor q(a).
-2*a*(a + 1)**2*(a + 2)/9
Let f = -928496 - -928500. Factor 1600/7 + 1284/7*d**2 - 3040/7*d + 152/7*d**3 + 4/7*d**f.
4*(d - 1)**2*(d + 20)**2/7
Let c(p) = -7*p**2 + 25*p + 2. Let x be c(0). Let t = 101/15 + -19/3. Factor 0*m**x - t*m**4 + 0 + 0*m**3 + 0*m.
-2*m**4/5
Suppose 1 = 4*t - 27. Suppose 0*h = -5*h + 3*b + 35, h + b - t = 0. Let -19 + 9*c**2 + h + 3*c**3 + 0 = 0. What is c?
-2, 1
Determine r, given that -9/7 - 16/7*r**2 - 24/7*r = 0.
-3/4
Suppose 268*y - 2 = 270*y - 5*u, 4*y + 4*u - 24 = 0. Suppose -5/6*f**3 + 1/3*f**y + 2/3*f - 5/3*f**2 + 4/3 + 1/6*f**5 = 0. What is f?
-2, -1, 1, 2
Suppose 8 = 4*m, 9*m - 3432 = 2*a + 8*m. Let y = a + 3443/2. Suppose y*f**3 - 2*f**2 - 5/2*f**4 + 0 - 2*f = 0. Calculate f.
-2/5, 0, 1, 2
Let a(u) be the second derivative of u**6/60 - 77*u**5/10 + 3901*u**4/4 + 11935*u**3/3 + 24025*u**2/4 + 2*u - 71. Factor a(f).
(f - 155)**2*(f + 1)**2/2
Let s(l) be the first derivative of 2/33*l**3 + 18/11*l - 89 + 10/11*l**2. Solve s(p) = 0.
-9, -1
Let s(o) = -5*o**3 - 775*o**2 - 72966*o + 73725. Let x(y) = 24*y**3 + 3872*y**2 + 364828*y - 368626. Let p(c) = -14*s(c) - 3*x(c). Let p(j) = 0. What is j?
-192, 1
Let f(c) = 67*c + 2. Let s be f(0). Suppose -8 = -w + s*v, 4*v = -8*w + 5*w - 6. Let 2/7 + 11/7*l + 12/7*l**w = 0. Calculate l.
-2/3, -1/4
Let c(l) = -2*l**3 - l**2 + 14*l - 30. Let m be c(3). Let g be (-108)/m + -2 - 16/(-153). Factor 4/9 + 2/3*t - g*t**3 + 0*t**2.
-2*(t - 2)*(t + 1)**2/9
Let v(o) = -o**2 - 2*o - 2. Let b(p) = -227*p**2 - 72*p - 8. Let a(j) = -3*b(j) + 6*v(j). Factor a(c).
3*(9*c + 2)*(25*c + 2)
Suppose -24*k - 5*p = -28*k + 1, -3*k = p - 15. Let n be (2944/392 - 8)*(-42)/k. Let -n*s**2 - 432/7 - 2/7*s**3 - 216/7*s = 0. Calculate s.
-6
Suppose 141*c - 197 = -9*c + 103. Factor -2/5*y**c - 2/5*y + 8.
-2*(y - 4)*(y + 5)/5
Let z be ((-10)/4)/((-90)/432). Solve 200*d + 3018*d**3 + 2*d**5 - 1530*d**3 - 1510*d**3 - 120*d**2 + z*d**4 = 0.
-5, 0, 2
Let w(g) = -3*g**3 - 520*g**2 + 874*g - 173. Let p be w(-175). Find v, given that -32/5*v - 2/5*v**p - 128/5 = 0.
-8
Suppose -2287/6 + 1144/3*i - 1/6*i**2 = 0. What is i?
1, 2287
Let x be ((-2700)/200)/((-300)/1280). Solve 156/5*u + 8/5*u**2 + x - 4/5*u**3 = 0.
-3, 8
Suppose 71*k = 111*k - 960. Let w(t) be the first derivative of -6*t - 49/6*t**6 - k + 14/5*t**5 - 8/3*t**3 + 39/2*t**4 - 29/2*t**2. Let w(j) = 0. Calculate j.
-1, -3/7, -2/7, 1
Let x(i) be the first derivative of 4*i**5/5 - 46*i**4 - 7292*i**3/3 - 7008*i**2 - 6912*i - 2803. Find o such that x(o) = 0.
-24, -1, 72
Let a = -679 - -683. Solve c - 1/6 + 2*c**3 - 2/3*c**a - 13/6*c**2 = 0 for c.
1/2, 1
Let f(d) = -1 + 3 + 3*d**2 - 4*d**2. Let l(a) = -5*a**3 + 13*a**2 - 15*a + 9. Let t(m) = 2*f(m) - l(m). Find k such that t(k) = 0.
1
Let r(i) be the second derivative of -71*i - 11/18*i**3 + 7/4*i**2 + 1/72*i**4 + 0. Find g such that r(g) = 0.
1, 21
Let b be 8/28 + 19/7. Factor -2*i**4 + 4*i**3 + 12*i**b + 39 - 2*i**4 - 39 + 8*i - 20*i**2.
-4*i*(i - 2)*(i - 1)**2
Let d = -21909/2 - -10955. Let k(g) be the first derivative of -1/4*g**4 + 3*g - g**3 - 1 + d*g**2. Factor k(c).
-(c - 1)*(c + 1)*(c + 3)
Let i = 5 + -3. Let p be (-8)/6*45/(-20). Factor 72*n**2 + 2*n**p - 2*n**5 - 72*n**i.
-2*n**3*(n - 1)*(n + 1)
Let d(b) = b**2 - b. Let p = -9 + 11. Let n be d(p). Factor 0 + 1/5*g - 2/5*g**n + 1/5*g**3.
g*(g - 1)**2/5
Let q be (-1242)/(-66) - (-18)/99. Let d be (-2 + -20 + q)*1/(-6). Determine i so that 0*i - 1/2*i**4 + 1/4*i**5 + d*i**2 - 1/4*i**3 + 0 = 0.
-1, 0, 1, 2
Let t(r) be the first derivative of r**3/3 - 385*r**2/2 - 386*r + 2225. Solve t(p) = 0.
-1, 386
Factor 2/3*c**2 + 220/3*c + 0.
2*c*(c + 110)/3
Factor 3*f**4 + 11*f**2 - 96*f + 7*f**3 + 3*f**3 - 26*f**2 - 93*f**2 - 19*f**3.
3*f*(f - 8)*(f + 1)*(f + 4)
Let k = 86006 - 602039/7. What is r in k*r**4 + 0 + 9/7*r**2 + 12/7*r**3 + 0*r = 0?
-3, -1, 0
Let o be (3/(-14)*20/(-15))/((-4551)/(-21238)). Suppose 5/3*l**2 + 0 + o*l**3 + 1/3*l**4 + 2/3*l = 0. What is l?
-2, -1, 0
Let b(x) be the second derivative of -x**5/110 - 5*x**4/33 - 16*x**3/33 - 8701*x. Factor b(p).
-2*p*(p + 2)*(p + 8)/11
Solve 0*g**3 - 1/4*g**4 + 0*g + 0 + 1/4*g**2 = 0 for g.
-1, 0, 1
Let m(w) be the second derivative of w**5/15 - 49*w**4/12 - 517*w**3/18 - 20*w**2 + 4*w - 309. Factor m(z).
(z - 40)*(z + 3)*(4*z + 1)/3
Suppose -16 = -47*a + 43*a. Factor 32*v**2 - 7*v**2 + 82*v**4 - 77*v**a - 20*v**3 - 10*v.
5*v*(v - 2)*(v - 1)**2
Let k = 2/12009 + 108077/24018. Let z(c) be the first derivative of 0*c - k*c**4 + 0*c**2 + 22 + 3/5*c**5 + 0*c**3. Factor z(q).
3*q**3*(q - 6)
Suppose 8/11 + 100/11*n**2 + 46/11*n**3 + 62/11*n = 0. Calculate n.
-1, -4/23
Let i(g) = -357*g + 718. Let y be i(2). Let n = 0 + 3. Factor n*q**4 + 6*q**3 + 2*q**4 - 3*q**3 + 4*q**y.
3*q**3*(3*q + 1)
Find i such that -6*i**3 + 78*i - 2/5*i**4 - 14*i**2 + 432/5 = 0.
-9, -8, -1, 3
Let v(s) be the first derivative of s**3/15 + 192*s**2 - 1921*s/5 + 10732. Factor v(d).
(d - 1)*(d + 1921)/5
Let o(r) be the first derivative of 4*r**5/5 - 20*r**4 - 128*r**3 - 1260. Determine f, given that o(f) = 0.
-4, 0, 24
Let d(p) be the first derivative of 2/21*p**3 - 3/7*p**2 - 8/7*p + 104. Factor d(h).
2*(h - 4)*(h + 1)/7
Suppose -2*n + 12*c + 29 = 7*c, -4*c = 4*n - 72. Suppose -x = -2*h + n, -5*x + 17 = -8. Factor 25*v**5 + 19*v**3 - 9 - 8*v + 23*v**2 + 16 - 55*v**4 - h.
(v - 1)**3*(5*v + 2)**2
Let j(f) = 28*f**3 + 35*f**2 - 211*f + 168. Let r(o) = 17*o**3 + 17*o**2 - 106*o + 84. Let m(i) = -3*j(i) + 5*r(i). Factor m(a).
(a - 12)*(a - 7)*(a - 1)
Let v = -17 - -21. Suppose -4*k = 2*z - 12, 4*k = k + z + v. Factor -2*i**4 + 2 - 14*i - 19*i + 8*i**k - i**5 + 16 + 10*i**3.
-(i - 2)*(i - 1)**2*(i + 3)**2
Let z(r) be the first derivative of -124 + 33/16*r**2 + 45/4*r - 17/24*r**3 - 9/32*r**4 - 1/40*r**5. Solve z(o) = 0 for o.
-5, -3, 2
Suppose 0 = 12*q - 978 - 42. Let p be ((-15)/(-21))/(q/34). Factor 6/7*w - 6/7*w**3 + p*w**4 - 4/7 + 2/7*w**2.
2*(w - 2)*(w - 1)**2*(w + 1)/7
Let u be 6*(-2)/9*-3. Let a(c) = -c**2 + c + 1. Let p(f) = 5*f**2 - 8*f. Suppose 142*b + 26 = 168*b. Let w(z) = b*p(z) + u*a(z). Factor w(r).
(r - 2)**2
Let y(x) be the first derivative of 961*x**3/3 - 124*x**2 + 16*x - 9251. Determine b so that y(b) = 0.
4/31
Suppose 8*k + 16 = 7*k. Let q = -14 - k. Solve -4*o**2 + 5*o**q + 0 - 2*o + 4 - 7 = 0 for o.
-1, 3
Let p(x) be the first derivative of x**6/30 - x**4/3 - 82*x - 79. Let r(y) be the first derivative of p(y). What is k in r(k) = 0?
-2, 0, 2
Let s(b) be the first derivative of -b**6/12 - 21*b**5/10 - 163*b**4/8 - 193*b**3/2 - 238*b**2 - 294*b + 1236. Determine g, given that s(g) = 0.
-7, -3, -2
Let o = 267949/58240 - 9/11648. Factor -11/5 + 1/5*x**5 - 2/5*x**2 + 22/5*x**3 - o*x + 13/5*x**4.
(x - 1)*(x + 1)**3*(x + 11)/5
Find j such that -3/2*j**3 - 93/2*j**2 - 45*j + 0 = 0.
-30, -1, 0
Let k(r) be the second derivative of -r*