*2 + 3*f + 21. Let j = 369 + -366. Let k(n) = j*o(n) - 8*w(n). Factor k(i).
2*(i - 3)**2*(i + 1)
Let o(n) be the third derivative of n**5/210 - n**4/4 - 130*n**3/21 + 5101*n**2. Factor o(x).
2*(x - 26)*(x + 5)/7
Let t = -750 + 695. Let z be 3 - ((-22)/t)/(4/(-10)). Factor -3/4*m**4 + 0 + z*m**2 + 0*m - 11/2*m**3.
-m**2*(m + 8)*(3*m - 2)/4
Let y be (((-520)/50)/(-26))/(24/8). Factor 8/3 + 12/5*p**2 - 26/5*p + y*p**3.
2*(p - 1)**2*(p + 20)/15
Let u = -167/70 - -339/140. Let z(k) be the second derivative of -1/7*k**3 - u*k**4 + 12/7*k**2 + 0 + 34*k. Factor z(t).
-3*(t - 2)*(t + 4)/7
Let s be (2 + (-9)/6)*(-18 - -24). Factor x**2 + 0*x**2 - 31*x**3 + 32*x**s - x - 1.
(x - 1)*(x + 1)**2
Let o(j) = -7*j**4 - 6*j**3 - 123*j**2 - 324*j - 252. Let r(h) = h**4 - h**3 - h**2. Let a(q) = 5*o(q) + 40*r(q). Let a(g) = 0. What is g?
-3, -2, 21
Let v(t) = 43*t**2 - 213667*t + 475473567. Let d(y) = -16*y**2 + 80125*y - 178302588. Let a(c) = -19*d(c) - 7*v(c). Factor a(g).
3*(g - 4451)**2
Let z be -9*31/(1209/(-26)). Let t(m) be the first derivative of 3/20*m**5 + 0*m**2 + 0*m + 19 - 1/8*m**4 + 0*m**3 - 1/24*m**z. Find p, given that t(p) = 0.
0, 1, 2
Solve -18*r + 2*r**3 + 62/11*r**2 - 6/11*r**4 - 72/11 = 0 for r.
-3, -1/3, 3, 4
Let a(l) = 14*l**2 + 1735*l - 1758. Let n(j) = 45*j**2 + 5205*j - 5280. Let y(r) = 10*a(r) - 3*n(r). Factor y(q).
5*(q - 1)*(q + 348)
Let u be (0 + 4)*369/164. Let i(j) be the first derivative of -6*j**3 - 15/4*j**4 - u + 0*j - 3/2*j**2. Solve i(q) = 0.
-1, -1/5, 0
Suppose -2*p = -31 - 33. Suppose 0 = -5*o - p + 52. Let y(q) = 28*q**3 + 48*q**2 + 32*q - 4. Let b(c) = c**4 - c**3 + 1. Let l(h) = o*b(h) + y(h). Factor l(g).
4*g*(g + 2)**3
Let y(s) be the third derivative of s**8/1512 + 4*s**7/135 + 313*s**6/540 + 97*s**5/15 + 45*s**4 + 200*s**3 + 1932*s**2. Factor y(m).
2*(m + 5)**2*(m + 6)**3/9
Solve 100*h + 1944 + 68031*h**4 - 79*h**2 - 615*h**3 - 1386*h**2 - 3*h**5 + 115*h**2 + 8*h - 68115*h**4 = 0.
-18, -6, -3, -2, 1
Let h(w) = -2*w**2 + 4*w + 50. Let o be h(6). Find d, given that -212*d**o - 4*d**4 - 15*d**3 + 15*d + 3*d**4 + 6*d**4 - 10 + 217*d**2 = 0.
-1, 1, 2
Suppose -109 = -35*v - 4. Let r(x) = 95*x - 283. Let j be r(v). Let 111/4*i**j - 42*i**3 - 9/2*i + 0 = 0. What is i?
0, 2/7, 3/8
Let v = -6873/14 + 63597/70. Let z = 418 - v. Factor 4/5 + z*j**2 - 6/5*j.
2*(j - 2)*(j - 1)/5
Let z(l) = -20*l**3 - 64*l**2 - 32*l - 16. Let t(j) = -6 + 9 + j**3 - j - 2 + 3*j**2 - j**2. Let v(w) = 16*t(w) + z(w). Factor v(h).
-4*h*(h + 2)*(h + 6)
Let p = 518050666/855 + -605907. Let t = -2/171 + p. Factor -1/5 - t*w**2 - 2/5*w.
-(w + 1)**2/5
Let p(y) = -2*y**3 - 32*y**2 + 240*y - 2. Let d(o) = -6*o**3 - 54*o**2 + 480*o - 5. Let u(f) = 2*d(f) - 5*p(f). Factor u(j).
-2*j*(j - 20)*(j - 6)
Let d(c) = 4*c**2 + 2*c + 2. Let w(n) = -21*n**2 - 36*n - 98. Let m(u) = -5*d(u) - w(u). Factor m(l).
(l + 4)*(l + 22)
Let v be (-8)/(-7)*329/1316. Factor 32/7 + 20/7*r + v*r**2.
2*(r + 2)*(r + 8)/7
Suppose 3*h + h = 12. Let w = 1402 - 1393. Solve 3*s**4 - 12 - 12*s + w*s**2 - 47*s**h + 0 + 59*s**3 = 0.
-2, -1, 1
Let o be 141264/(-72540) - 4/(-26). Let f = -6/31 - o. Factor -4/5*k + f*k**2 + 4/5*k**3 - 8/5.
4*(k - 1)*(k + 1)*(k + 2)/5
Let p(k) be the third derivative of k**5/60 + k**3/6 - 31*k**2. Let z(r) = 2*r**3 - 4*r**2 + 8*r - 12. Let b(y) = 12*p(y) + z(y). Factor b(a).
2*a*(a + 2)**2
Let r(g) = -g**3 - 7*g**2 - 19*g - 25. Let a be r(-4). Let b(k) be the first derivative of 1/2*k**4 - k**2 + 0*k - 13 + 0*k**a. Factor b(p).
2*p*(p - 1)*(p + 1)
Let g(f) be the first derivative of -f**3/3 + 175*f**2 - 349*f + 695. Find w such that g(w) = 0.
1, 349
Suppose -4*b - 1686 = 2*b. Let l = b - -281. Factor 0 + 0*z**2 + l*z + 1/7*z**4 + 1/7*z**3.
z**3*(z + 1)/7
Let f = -95724 - -95727. Solve -2*s - 5/2*s**f + 0 + 4*s**2 + 1/2*s**4 = 0.
0, 1, 2
Let t = -284 - -416. Factor 1074 + 374 + 3*q**2 + 4 - t*q.
3*(q - 22)**2
Let u(x) be the first derivative of 9*x**4/14 + 230*x**3/21 - 296*x**2/7 + 120*x/7 + 328. Factor u(i).
2*(i - 2)*(i + 15)*(9*i - 2)/7
Let f = 1156 - 8068/7. Let k(h) = 33*h**2 - 322*h + 228. Let s be k(9). Suppose f*q - 90/7*q**s + 8/7 - 74/7*q**2 = 0. Calculate q.
-1, -2/9, 2/5
Let y be -44 - (-21 - (-15067)/(-305)). Factor -y - 129/5*q + 3/5*q**2.
3*(q - 44)*(q + 1)/5
Let s be 2 - (-8 + -2) - 9. Factor 5*z**3 + 4*z**2 + 223*z - 11*z**2 - 707*z - 37*z**2 - 6*z**s.
-z*(z + 22)**2
Let x be (-8 + 9)*-17*10/(-2). Suppose x = 7*t + 1. Suppose -24 - t*c - 3/2*c**2 = 0. What is c?
-4
Let w be (-102)/(-255) - 1808/(-5). Let z = 364 - w. Factor 0 + 6/5*g - 6/5*g**3 - 3/5*g**z + 3/5*g**4.
3*g*(g - 2)*(g - 1)*(g + 1)/5
Let x(h) be the second derivative of 1 + h**3 - 3/80*h**5 - 5/16*h**4 + 9/2*h**2 + 70*h. Factor x(i).
-3*(i - 2)*(i + 1)*(i + 6)/4
Suppose 5*q - 144 = -q. Suppose -c - 3*f = -q, -3*f = -3*c - 8*f + 52. Factor 7*h**2 - 10*h**2 + 9 - c*h + 3*h.
-3*(h - 1)*(h + 3)
Let i(m) be the first derivative of m**5/20 + 29*m**4/8 - m**3/12 - 29*m**2/4 + 11740. Let i(s) = 0. What is s?
-58, -1, 0, 1
Let w = -193617 + 193624. Find k such that 3/2*k**3 + 0 + w*k**2 - 5/2*k = 0.
-5, 0, 1/3
Suppose -7 + 1 = -p - y, -y + 14 = 3*p. Suppose -p*w + 3*i + 8 = 0, 15*i - 12*i = 0. Determine s, given that 36/5*s**w - 14/5*s**3 + 16/5 - 8*s + 2/5*s**4 = 0.
1, 2
Factor 1/6*h**2 - 105/2*h - 158/3.
(h - 316)*(h + 1)/6
Find t such that -28*t**2 - 33*t**2 + 155*t + 920 - 30*t**2 - 31*t**2 + 127*t**2 = 0.
-23, -8
Let z be ((-3)/(-16))/(((-38445)/(-40))/33 - 29). Factor -9/2*u + 6 - z*u**2.
-3*(u - 1)*(u + 4)/2
Suppose 53 + 19 = -4*x - 8*a, -4*x + 4*a + 36 = 0. Suppose 4*l - 12 = -4. Solve 8/5*f**l + 2/5*f**3 + x + 0*f = 0.
-4, 0
What is x in -9*x**2 + 19*x**2 - 74*x**2 - 11*x**2 - 95*x - 20 = 0?
-1, -4/15
Let n(v) be the first derivative of -v**6/18 + 142*v**5/15 - 321*v**4/4 + 2450*v**3/9 - 1354*v**2/3 + 360*v - 3172. Solve n(x) = 0.
1, 2, 135
Factor 36513 + 37745 + 5*z**2 - 76118 + 605*z.
5*(z - 3)*(z + 124)
Let b be (85/(-140) - (272/(-56) - -4))/1. Factor b*x**3 + 0 + 0*x**2 - x.
x*(x - 2)*(x + 2)/4
Let k(y) = -6*y**2 - 9*y + 3. Let b be (-3 - 0)/((-14)/28). Suppose -9*w + 2 - 65 = 0. Let l(u) = -6*u**2 - 10*u + 3. Let p(g) = b*l(g) + w*k(g). Factor p(c).
3*(c + 1)*(2*c - 1)
Let j(w) = -3*w - 1. Let h(r) be the second derivative of 5*r**4/12 + r**3/6 - 4*r**2 + 4*r + 26. Let d(g) = h(g) + 2*j(g). Factor d(i).
5*(i - 2)*(i + 1)
Factor -560 + 54*q - 2*q**2 - 210*q + 20*q**2 - 11*q**2 - 11*q**2.
-4*(q + 4)*(q + 35)
Let b(o) be the first derivative of o**8/336 + o**7/28 - o**6/9 - o**5/4 + 35*o**4/24 + 60*o**3 - 36. Let v(i) be the third derivative of b(i). Factor v(f).
5*(f - 1)**2*(f + 1)*(f + 7)
Let k(g) be the first derivative of 5*g**3/12 + 715*g**2/4 - 1435*g/4 + 1014. Factor k(m).
5*(m - 1)*(m + 287)/4
Suppose 0 = g - 6*f - 84 + 57, 5*f = -20. Let p(y) be the first derivative of -3/2*y**2 - 3*y**4 + 5*y**g + 10 + 0*y. Suppose p(j) = 0. Calculate j.
0, 1/4, 1
Let p(r) be the second derivative of 0 + 1/135*r**6 + 0*r**4 + 0*r**3 + 48*r + 0*r**2 + 1/189*r**7 + 0*r**5. Factor p(n).
2*n**4*(n + 1)/9
Let x(a) be the second derivative of a**6/80 + 129*a**5/160 + 83*a**4/32 + 41*a**3/16 - 383*a - 3. Factor x(f).
3*f*(f + 1)**2*(f + 41)/8
Let h(w) be the first derivative of w**6/240 - w**5/48 + w**4/24 + w**3/3 - 50. Let r(n) be the third derivative of h(n). Determine p so that r(p) = 0.
2/3, 1
Let 1386/5*q + 2106/5 + 222/5*q**2 - 2/5*q**3 = 0. Calculate q.
-3, 117
Find p such that 128/7*p**2 - 4/7*p**3 + 0 - 64*p = 0.
0, 4, 28
Suppose 4*g - 28 + 5 + 11 = 0. Suppose -8 = -2*o - 4. Factor -1/4*q**o + 0 + 1/8*q + 1/8*q**g.
q*(q - 1)**2/8
Let l(u) be the third derivative of -u**5/60 + 35*u**4/12 - 387*u**3/2 - 7322*u**2. Factor l(t).
-(t - 43)*(t - 27)
Let c(f) be the third derivative of -f**6/1620 - 49*f**5/270 - 2401*f**4/108 - 86*f**3/3 - 200*f**2. Let w(v) be the first derivative of c(v). Factor w(n).
-2*(n + 49)**2/9
Let a = 686 - 4031/6. Let y(v) be the third derivative of v**2 - 49/8*v**6 - 91/6*v**5 + 0*v - 20/3*v**3 - a*v**4 + 0. Suppose y(j) = 0. What is j?
-2/3, -2/7
Factor -v**3 - 57/2*v - 18 + 29/2*v**2.
-(v - 12)*(v - 3)*(2*v + 1)/2
Let t be -834 - (0 + 2 - 22/(-22)). Let l be (4/(-10))/((t/(-90))/(-31)). Factor r**2 - l + 0*r + 1/3*r**3.
(r - 1)*(r + 2)**2/3
Let z(k) be the s