 be the third derivative of 5*s**8/1008 - 31*s**7/63 + 949*s**6/72 + 182*s**5/9 - 13175*s**4/18 - 38440*s**3/9 - 2050*s**2. Solve g(t) = 0 for t.
-2, 4, 31
Let z(u) be the third derivative of 0 + 2*u**2 + 1/120*u**5 - 1/16*u**4 + 1/720*u**6 + 0*u + 5/36*u**3. Solve z(i) = 0.
-5, 1
Let g(t) = 136*t**2 - 2686*t - 2690. Let m(q) = -69*q**2 - 3*q. Let n(f) = -g(f) - 2*m(f). Factor n(w).
2*(w + 1)*(w + 1345)
Let v(c) = 147*c - 4847. Let o be v(33). Solve 0*x**2 + o - 14/3*x + 2/3*x**3 = 0 for x.
-3, 1, 2
Let i(m) be the second derivative of m**5/2 + 46*m**4/3 - 383*m**3/3 + 286*m**2 + m + 2883. Factor i(v).
2*(v - 1)*(v + 22)*(5*v - 13)
Let 228*i**2 + 768 + 33*i**4 + 1248*i - 3/2*i**5 - 435/2*i**3 = 0. Calculate i.
-1, 8
Let p be (2 - 6)/(-23 - (-2 + -19)). Let -2/9*u**5 + 0 - 2/3*u - 4/3*u**4 - 8/3*u**3 - 20/9*u**p = 0. Calculate u.
-3, -1, 0
Suppose 319*w + 260 = 260. Let g(c) be the third derivative of 2*c**3 + 1/30*c**5 + 7/12*c**4 + 0*c - 25*c**2 + w. Factor g(x).
2*(x + 1)*(x + 6)
Let c(i) be the third derivative of -22*i**7/105 - 2333*i**6/15 - 495232*i**5/15 - 44944*i**4/3 + 1284*i**2. Solve c(u) = 0 for u.
-212, -2/11, 0
Let f(q) be the first derivative of q**6/3 + 62*q**5/5 - 105*q**4 + 872*q**3/3 - 296*q**2 - 1210. Factor f(r).
2*r*(r - 2)**3*(r + 37)
Let s = 4 + 1. Suppose -2*u + 9 = 4*t - 1, -5*t - 55 = -s*u. Factor 1 + 20*v + 4*v**3 + 16*v**2 + 4 + u*v**2 + 6*v**3.
5*(v + 1)**2*(2*v + 1)
Let x(i) be the first derivative of -i**6/2 - 12*i**5/5 + 3*i**4/4 + 16*i**3 + 18*i**2 - 40. Let x(u) = 0. Calculate u.
-3, -2, -1, 0, 2
Let f be 1 + 50/40 + 5/(-4). Suppose f + 7/5*m**2 - 1/5*m**3 - 11/5*m = 0. Calculate m.
1, 5
Let d(h) be the second derivative of -h**5/70 - 47*h**4/6 - 3408*h. Let d(c) = 0. Calculate c.
-329, 0
Determine b, given that -1478*b - 1592*b**3 - 1027*b**2 - 1039*b**2 + 1018*b + 14*b**4 = 0.
-1, -2/7, 0, 115
Suppose -2*p = 2*p + l - 58, 5*p = 5*l + 60. Suppose 13*j = p*j - 2. Factor 13*g**2 - j*g**3 - g**2 + 32 - 10*g - 32.
-2*g*(g - 5)*(g - 1)
Let a = -408 - -429. Let t be (-10)/((-1120)/a)*4/6. Factor -1/4 + t*g + 1/4*g**2 - 1/8*g**3.
-(g - 2)*(g - 1)*(g + 1)/8
Suppose -2*l - 14*f + 98 = -2*l, 21 = -2*l + 3*f. Let w = 1169/705 - -2/235. Factor l + 1/3*h**2 + w*h.
h*(h + 5)/3
Let i(s) be the first derivative of -27/8*s**2 + 0*s - 271 + 3/4*s**3 + 3/20*s**5 + 15/16*s**4. Factor i(h).
3*h*(h - 1)*(h + 3)**2/4
Let g(d) = -d**2 + 34*d - 250. Let t be g(23). Factor -15*v**2 - 30*v - v**4 - 3*v**3 + 13*v - 2*v + 10*v - 4*v**t.
-v*(v + 1)*(v + 3)**2
Let t(h) be the second derivative of h**4/9 + 176*h**3/9 + 224*h**2 + 1249*h. Factor t(i).
4*(i + 4)*(i + 84)/3
Let a(k) = k**3 - 4*k**2 - 2*k - 2. Let v be 3*((-2)/3 - -3 - 4). Let w(b) = b**3 - b - 1. Let y(o) = v*a(o) + 10*w(o). Suppose y(s) = 0. What is s?
-4, 0
Suppose 3692/7*w**2 + 30/7*w**4 - 694/7*w**3 + 3840/7*w - 576/7 = 0. Calculate w.
-1, 2/15, 12
Let n be 20847/95508 + 1 + (-9)/108. Let i = n - -3/379. What is l in 4/7*l**3 + 4/7*l - i*l**2 + 0 = 0?
0, 1
Let q(i) be the second derivative of -2*i**5/255 - 7*i**4/204 - i**3/17 + 69*i**2/2 + 59*i. Let z(b) be the first derivative of q(b). Factor z(y).
-2*(y + 1)*(4*y + 3)/17
Let z(x) be the second derivative of 0*x**6 + 0*x**4 + 0*x**2 - 2/3*x**3 - 2/21*x**7 + 7*x - 2 + 2/5*x**5. Let z(n) = 0. What is n?
-1, 0, 1
Let c = -641 - -644. Factor 27*u**2 - 7*u**2 - 17*u + 8 + 32*u**3 - 10*u**2 - 33*u**c.
-(u - 8)*(u - 1)**2
Let q(g) be the third derivative of 0*g - 1/8*g**4 - 7/120*g**5 + 3*g**2 + 0*g**3 + 10 + 0*g**6 + 1/420*g**7. Let q(t) = 0. What is t?
-2, -1, 0, 3
Suppose -p - 20 = -5*p. Suppose p*a + 10 = 0, -4 = 4*s + a - 10. Solve -9*v - 2*v**s + 5*v**2 - 94 + 82 = 0.
-1, 4
Let l(r) be the first derivative of 5*r**6/6 - 2*r**5 - 105*r**4/4 - 30*r**3 + 4820. Factor l(m).
5*m**2*(m - 6)*(m + 1)*(m + 3)
Let 3204*z**3 - 8424*z**3 - 60055*z - 2*z**5 - 176*z**4 - 53824*z**2 + 11277*z = 0. What is z?
-29, -1, 0
Let j(k) = 16*k**2 + 238*k + 3186. Let i(d) = 3*d**2 + 7. Let b(v) = -6*i(v) + j(v). Let b(w) = 0. Calculate w.
-12, 131
Let l(j) be the first derivative of -6*j**2 - 4/3*j**3 + 165 - 8*j. Factor l(b).
-4*(b + 1)*(b + 2)
Let d be 1245/13695 - (-282)/44. Factor 0 - d*a**2 + 5*a - 3/2*a**3.
-a*(a + 5)*(3*a - 2)/2
Let w(a) be the third derivative of 0*a - 1/120*a**6 - 1/8*a**4 + 1/20*a**5 + 0 + 152*a**2 + 1/6*a**3. Factor w(m).
-(m - 1)**3
Let i(m) be the second derivative of -m**5/4 - 55*m**4/12 - 50*m**3/3 + 80*m**2 + 5168*m. Factor i(x).
-5*(x - 1)*(x + 4)*(x + 8)
Suppose -7 = -13*v + 32. Suppose -443 - 36*r + 24*r**2 - 437 + 896 - 4*r**v = 0. Calculate r.
1, 4
Find v such that 28/3*v**3 + 0 + 2/3*v**4 + 64/3*v**2 - 256/3*v = 0.
-8, 0, 2
Let g(q) be the second derivative of 4*q**4/9 + 62*q**3/9 - 16*q**2/3 - 9*q - 11. Suppose g(o) = 0. What is o?
-8, 1/4
Let o(s) be the third derivative of 1/5*s**5 + 0*s**4 - 9/40*s**6 - 1/112*s**8 - 25*s**2 + 0 + 0*s + 3/35*s**7 + 0*s**3. Factor o(l).
-3*l**2*(l - 4)*(l - 1)**2
Let p = -202465 - -202468. Factor 0 - 2/9*t**5 + 0*t + 8/9*t**4 + 0*t**2 - 2/3*t**p.
-2*t**3*(t - 3)*(t - 1)/9
Let i(p) be the second derivative of 3*p**5/4 + 415*p**4/6 - 1150*p**3/3 + 580*p**2 + 211*p + 3. Solve i(r) = 0.
-58, 2/3, 2
Let y(r) be the second derivative of -r + 0*r**3 + 0*r**2 - 63/40*r**5 - 1/28*r**7 - 23 + 9/4*r**4 + 2/5*r**6. Find i, given that y(i) = 0.
0, 2, 3
Suppose 4*j = 2*s - 14, -5 = -2*s - 35*j + 30*j. Factor 1/2*y**3 + 25/2*y + s*y**2 + 0.
y*(y + 5)**2/2
Let g(i) be the third derivative of -i**5/90 + 235*i**4/36 + 236*i**3/9 - 4193*i**2. Factor g(b).
-2*(b - 236)*(b + 1)/3
Let j(g) be the first derivative of 4*g**5/5 + 2*g**4 - 44*g**3 + 44*g**2 + 224*g + 486. Determine t, given that j(t) = 0.
-7, -1, 2, 4
Let g(d) = -32*d**2 - 11*d - 4. Let j be g(6). Let a = j - -1222. Factor -x + 1/2*x**2 + a.
x*(x - 2)/2
Let u = 47218/41279 - 6/5897. Factor u*p - 8/7*p**2 + 0 + 2/7*p**3.
2*p*(p - 2)**2/7
Let v(j) = 31*j**2 - 6*j + 29. Let b be v(4). Factor 35*a**2 - 105*a - b*a**3 - 77*a**2 + 498*a**3 - 66.
-3*(a + 1)*(a + 2)*(a + 11)
Let x be (8 + -13 - -8)*2/(-6). Let c(f) = 42*f**3 + 320*f**2 - 294*f - 80. Let a(i) = i**3 - 2*i**2 - i. Let y(u) = x*c(u) + 6*a(u). Factor y(p).
-4*(p - 1)*(p + 10)*(9*p + 2)
Let t(c) be the first derivative of 5*c**4/36 - 325*c**3/9 + 21125*c**2/6 - 68*c + 31. Let h(g) be the first derivative of t(g). Factor h(b).
5*(b - 65)**2/3
Factor 7792/3*q - 3794704/3 - 4/3*q**2.
-4*(q - 974)**2/3
Let z(i) = 90*i**2 + 3*i. Let w be z(-2). Let a = w + -1767/5. Factor 3/5*u**4 + 3/5*u**3 + 0 - 3/5*u**2 - a*u.
3*u*(u - 1)*(u + 1)**2/5
Let o = 801 + -803. Let l(u) = 3*u**3 + 8*u**2 - 9*u + 2. Let a(d) = 4*d**3 + 8*d**2 - 9*d + 3. Let t(r) = o*a(r) + 3*l(r). Suppose t(w) = 0. Calculate w.
-9, 0, 1
Let n(i) be the first derivative of i**6/75 - 14*i**5/125 - 31*i**4/50 + 14*i**3/75 + 6*i**2/5 + 7721. Determine a, given that n(a) = 0.
-3, -1, 0, 1, 10
Let j be 4 + (-3)/((-12)/(-8)). What is p in -5 - 4*p**3 + 0 + 34*p**2 + 4*p - 27 - j*p**2 = 0?
-1, 1, 8
Let j(k) be the third derivative of -k**6/40 + 5*k**5/2 - 97*k**4/8 + 24*k**3 - 345*k**2. Factor j(l).
-3*(l - 48)*(l - 1)**2
Let w = -500 + 513. Suppose 0 = 21*b - 19*b - 3*x - w, 0 = -4*b + 2*x + 14. Factor 9/4*a + 0 - 3/4*a**b.
-3*a*(a - 3)/4
Suppose -2*y = -77*h + 80*h - 15, 0 = 3*y - 4*h - 14. Suppose -22*d - 2*n + 6 = -18*d, d + 2*n - y = 0. Suppose 10/7*o + 2/7*o**2 + d = 0. Calculate o.
-5, 0
Let r(h) = 6*h**2 - 103*h - 8. Let t(v) = -v**2 + 14*v + 2. Let l(b) = -3*r(b) - 21*t(b). Determine y, given that l(y) = 0.
-6, 1
Let b = 35 - 14. Let a = -17 + b. What is u in -6*u**4 + 30*u**3 - 18*u**3 - 17*u**3 - a*u**4 = 0?
-1/2, 0
Suppose 5*h - 1207 = 2*v - 1228, -5*v + 24 = -3*h. Factor -2/9*i**5 + 0*i + 14/9*i**v - 8/9*i**2 - 4/9*i**4 + 0.
-2*i**2*(i - 1)**2*(i + 4)/9
Let z be ((-24)/27)/(4/(-405)). Suppose -z*m + 810 + 5/2*m**2 = 0. What is m?
18
Let w(n) be the third derivative of -n**9/211680 + 3*n**8/7840 + 307*n**5/60 + 53*n**2. Let y(g) be the third derivative of w(g). Factor y(o).
-2*o**2*(o - 27)/7
Let c = 914 - 916. Let m be (150/(-15) - -1)*c/63. Factor 1/7*d - m + 1/7*d**2.
(d - 1)*(d + 2)/7
Let s be ((-40)/(-18))/((1/(-7))/((-678)/3955)). Factor 20/3*p + 4/3*p**5 - 4 + s*p**2 - 8*p**3 + 4/3*p**4.
4*(p - 1)**3*(p 