*b + 111*o**2 = 0. Calculate o.
1, 18
Let o be (-218)/(-130) - (-856)/(-11128). Suppose 0 + 8/5*j**3 + 0*j - 2/5*j**4 - o*j**2 = 0. Calculate j.
0, 2
Let d(x) be the third derivative of -x**7/1365 - x**6/780 + 7*x**5/390 + x**4/12 + 2*x**3/13 + 13*x**2 + 17*x. Let d(o) = 0. What is o?
-2, -1, 3
Let a = 161/24 + -27/8. Let r = a + -19/6. Factor 8/3 + r*n**2 + 4/3*n.
(n + 4)**2/6
Let o = 20783995 + -6339104831/305. Let s = o + 4/61. Let 64/5*x**2 - 24/5*x**4 - s*x**3 + 64*x + 36/5*x**5 + 128/5 = 0. Calculate x.
-2, -2/3, 2
Let c(z) be the first derivative of z**6/72 - 23*z**5/24 + 55*z**4/12 + 35*z**3 + 30. Let o(v) be the third derivative of c(v). Factor o(g).
5*(g - 22)*(g - 1)
Let h(p) = 13*p + 1094. Let d be h(-83). Let c(k) be the first derivative of -d*k**2 + 0*k + 27 - 5/4*k**4 - 25/3*k**3. Factor c(b).
-5*b*(b + 2)*(b + 3)
Let f = 388267 + -388264. Let 1/3*r**4 + 0*r + 16/3*r**f + 0*r**2 + 0 = 0. What is r?
-16, 0
Let q = 34 - 33. Suppose -2*y - q = l + y, 2*l = 2*y + 6. Factor 2*n**2 - 2*n**2 + 2*n**l + 4*n**3 + 2*n**2.
4*n**2*(n + 1)
Let y(v) be the third derivative of -5*v**8/336 - 8*v**7/21 - 25*v**6/24 + 7*v**5/2 + 2444*v**2. Determine j, given that y(j) = 0.
-14, -3, 0, 1
Let w(u) = u**2 + 1047*u - 142614. Let r be w(122). Factor 39/4*v**2 - 6*v**3 + 0 - 9/2*v + 3/4*v**r.
3*v*(v - 6)*(v - 1)**2/4
Suppose 631*h - 250 = 569 + 443. Let i(p) be the first derivative of 37 + 4/15*p**3 + 16/5*p**h + 0*p. Factor i(m).
4*m*(m + 8)/5
Let g(f) = f - 2. Let w be g(3). Suppose -2*b + 9 = w. Factor 50*x + 3*x**3 + b*x**3 - 18*x - 5*x**3 + 16*x**2.
2*x*(x + 4)**2
Let n(h) = -10*h**4 + 2330*h**3 + 21870*h**2 - 65. Let f(p) = p**4 - 212*p**3 - 1988*p**2 + 6. Let d(y) = 65*f(y) + 6*n(y). What is l in d(l) = 0?
-20, 0
Let h(c) be the third derivative of -3/20*c**5 + 0*c**3 + 21 + 0*c + 3/70*c**7 - 1/10*c**6 + 1/4*c**4 + 1/56*c**8 - c**2. Solve h(s) = 0.
-2, -1, 0, 1/2, 1
Factor -262/11*d - 1/11*d**2 + 263/11.
-(d - 1)*(d + 263)/11
Suppose -542 = 19*q - 268*q + 454. Determine f, given that 4/7*f + 2/7*f**5 - 2/7*f**2 + 2/7*f**q - 6/7*f**3 + 0 = 0.
-2, -1, 0, 1
Let n be 6/(-30)*-2 + (-1436)/(-10). Let -141*l**4 - 1209*l**4 + 3960*l**3 - 1312*l**2 - 16*l - 6750*l**5 + n*l = 0. Calculate l.
-1, 0, 4/15
Let 8*z + 13163037*z**5 - 47*z**4 - 36*z**2 + 3*z**4 - 13163025*z**5 + 60*z**3 = 0. What is z?
0, 2/3, 1
Let b(v) be the second derivative of 10*v + 1/160*v**6 + 0*v**3 - 1/16*v**4 - 1/80*v**5 + 0 - v**2. Let r(c) be the first derivative of b(c). Factor r(i).
3*i*(i - 2)*(i + 1)/4
Let h(s) = -5*s**3 - 7898*s**2 - 3112603*s + 3120515. Let n(v) = 10*v**3 + 15795*v**2 + 6225205*v - 6241025. Let y(p) = -5*h(p) - 3*n(p). Factor y(a).
-5*(a - 1)*(a + 790)**2
Let x(d) be the third derivative of 1/21*d**3 - 8*d - 3*d**2 - 1/168*d**4 + 0 - 1/420*d**5. Factor x(u).
-(u - 1)*(u + 2)/7
Let k = -22 + 23. Suppose 3*w + s - k = 0, -5*w + 2*s = -2*s - 30. Determine p, given that 5*p**2 + 7 - 3 - 9*p**w = 0.
-1, 1
Let n(q) be the first derivative of 118/3*q**3 + 4*q - 124 - 61*q**2. Factor n(j).
2*(j - 1)*(59*j - 2)
Solve -17316/5*c + 2776332/5*c**2 + 27/5 = 0.
3/962
Let o = -1237/3 - -413. Let t(h) be the first derivative of -o*h**6 + 0*h - 3*h**4 + 0*h**2 - 13 + 12/5*h**5 + 4/3*h**3. Factor t(n).
-4*n**2*(n - 1)**3
Let t = 11686575/1797934 - 2/898967. Factor -1/2*d**4 - 126*d - 162 - t*d**2 + 7*d**3.
-(d - 9)**2*(d + 2)**2/2
Let r = -419899/100 - -4199. Let b(i) be the third derivative of -1/600*i**6 - 8*i**2 + 0 - r*i**5 + 1/120*i**4 + 0*i + 1/10*i**3. Let b(v) = 0. Calculate v.
-3, -1, 1
Let d be ((-136)/60)/17 - (-154)/30. Factor 58*o + 32*o**2 + 38*o**2 + d*o**3 + 7*o + 0*o**3.
5*o*(o + 1)*(o + 13)
Suppose 11*b - 32*b + 42 = 0. Factor -5*u**5 - 4*u**3 + 51*u + 5*u**4 - 41*u**3 + 10*u**5 - 71*u + 55*u**b.
5*u*(u - 1)**3*(u + 4)
Let o(p) = -p**3 - 49*p**2 + 5104*p - 203. Let z be o(51). Factor -z - 4/3*n**2 + 7/3*n.
-(n - 1)*(4*n - 3)/3
Let l(i) be the first derivative of -5*i**4/2 - 562*i**3 - 1332*i**2 + 1336*i - 1911. Factor l(x).
-2*(x + 2)*(x + 167)*(5*x - 2)
Let s(a) be the second derivative of -a**5/5 + a**4/3 + 8*a**3/3 - 8*a**2 - 834*a. Factor s(f).
-4*(f - 2)*(f - 1)*(f + 2)
Let l(d) be the third derivative of -d**7/168 + d**6/27 - d**5/18 - 35*d**3/6 - 29*d**2 + 2. Let y(c) be the first derivative of l(c). Factor y(h).
-5*h*(h - 2)*(3*h - 2)/3
Factor -308*h**3 - 64*h - 282*h**3 + 63*h**2 + 591*h**3.
h*(h - 1)*(h + 64)
Let k(z) be the third derivative of z**5/12 + 565*z**4/24 + 280*z**3/3 - 3597*z**2. Factor k(y).
5*(y + 1)*(y + 112)
Let b(z) be the second derivative of z**5/70 - 58*z**4/21 - 235*z**3/21 - 118*z**2/7 + 1506*z. Solve b(m) = 0 for m.
-1, 118
Let r = 212498 + -849989/4. Find g, given that r*g**4 + 39*g**2 - 9*g**3 - 72*g + 48 = 0.
2, 4
Factor 9*r**5 + 556*r + 42*r**3 + 18*r**2 - 39*r**4 - 1706*r + 21 + 561*r + 538*r.
3*(r - 1)**3*(r + 1)*(3*r - 7)
Factor 3*w**3 - 216775*w**2 - 2*w**3 + 8092 + 216837*w**2 + 1241*w.
(w + 17)**2*(w + 28)
Let o be 58702/(-28)*12/16828. Let d = 3/601 - o. Factor -d + 5/4*r + 1/2*r**2 - 1/4*r**3.
-(r - 3)*(r - 1)*(r + 2)/4
Let l(a) be the second derivative of a**4/12 - 11*a**3/3 - 75*a**2/2 + 665*a. Find i such that l(i) = 0.
-3, 25
Let i(z) be the first derivative of 6*z**5/35 + 33*z**4/14 + 12*z**3 + 204*z**2/7 + 240*z/7 - 631. Factor i(p).
6*(p + 2)**3*(p + 5)/7
Let f(h) = -9 - 2*h**2 - 126*h - 8 + 111*h. Let u(r) = -2*r**2 - 14*r - 16. Let x(n) = 4*f(n) - 5*u(n). Suppose x(q) = 0. Calculate q.
-3, -2
Let j = -5322/49 - -5336/49. Let -2/7*i - j*i**2 + 24/7 = 0. Calculate i.
-4, 3
Suppose -l - 63 = 8*l. Let b be (-1242)/(-1840) + (1 - l/(-8)). Factor -6/5*z - 6/5*z**3 - b + 16/5*z**2.
-2*(z - 2)*(z - 1)*(3*z + 1)/5
Suppose -4/3*r**2 + 0 - 1/3*r**3 - r = 0. Calculate r.
-3, -1, 0
Factor 158/15*c**2 - 158/15 + 2/15*c**3 - 2/15*c.
2*(c - 1)*(c + 1)*(c + 79)/15
Let m(u) be the second derivative of u**5/4 - 5*u**4/3 + 10*u**3/3 - 85*u - 2. Factor m(h).
5*h*(h - 2)**2
Let t(i) = 7*i**3 + 9*i**2 + 2*i - 6. Let k(w) = 8*w**3 + 8*w**2 - 7*w - 7. Let c(x) = 12*k(x) - 14*t(x). Factor c(v).
-2*v*(v + 7)*(v + 8)
Suppose -4*l + 90 = 82. Let 14*t + 2*t**3 + 19*t**4 - 23*t**4 - 14*t**3 + l*t = 0. What is t?
-2, 0, 1
Let u(t) = 71*t**2 - 14087*t + 28262. Let q(s) = 30*s**2 - 5635*s + 11305. Let a(b) = -12*q(b) + 5*u(b). Factor a(o).
-5*(o - 2)*(o + 565)
Let t = -409 + 411. Let 44*r**t - 17*r**3 + 0 + 21*r**3 + 0 = 0. What is r?
-11, 0
Factor 5/2*r**3 - 385/2*r + 35*r**2 - 225.
5*(r - 5)*(r + 1)*(r + 18)/2
Let p(a) = -a**4 - a**3 + a**2 + a + 2. Let w(t) = 4*t**4 - 11*t**2 - t - 2. Let h(y) = 14*y - 83. Let q be h(6). Let j(i) = q*w(i) + 5*p(i). Factor j(n).
-(n - 1)*(n + 2)**3
Let x be 280/(-14) + 23875/975 - (-1 + (-15)/(-13)). Solve 0 + x*g**3 + 0*g + 10*g**2 + 1/3*g**4 = 0 for g.
-10, -3, 0
Let k be (332 - 316) + 45/(-3) - (-17)/3. Factor -4*z**4 - k*z**2 + 8*z**3 + 0 + 2*z + 2/3*z**5.
2*z*(z - 3)*(z - 1)**3/3
Let u be -1 - -50 - (-27)/(-9). Factor -4*r**4 + 9 - u + 15 + 12*r**2 + 4*r + 14 - 4*r**3.
-4*(r - 1)**2*(r + 1)*(r + 2)
Let l = 2/389851 - -1559398/1169553. Factor l*m**2 - 2*m - 28/9 + 2/9*m**3.
2*(m - 2)*(m + 1)*(m + 7)/9
Let m = -59 - -64. Determine h, given that -25*h + 30*h**2 + 0*h**3 - m*h**3 + 0*h + 0*h**3 = 0.
0, 1, 5
Suppose 1035*w = -2993*w + 8056. Factor 0 + 12/7*h**3 + 4/7*h**4 + 48/7*h - 64/7*h**w.
4*h*(h - 2)*(h - 1)*(h + 6)/7
Let a(l) be the third derivative of l**5/240 + 85*l**4/12 + 14450*l**3/3 + 2034*l**2. Solve a(z) = 0.
-340
Let n(y) = -y**2 + 6*y + 18. Let v be n(8). Let z = 7 - 4. Determine u, given that -8*u**3 + 7*u**3 + 16*u**v + u + 13*u**z + 3*u = 0.
-1, -1/3, 0
Let z(c) be the second derivative of 11 + 27/8*c**2 - 1/4*c**3 - 1/48*c**4 + c. Factor z(p).
-(p - 3)*(p + 9)/4
Let l(i) = 4*i**2 - 88*i + 398. Let n(d) = d**2 - 5*d + 1. Let s(h) = l(h) - 2*n(h). Let s(k) = 0. What is k?
6, 33
Let s = 52140 + -52137. Factor 1/3*b**2 - 1/3*b**4 - 7/3*b + 0 + 7/3*b**s.
-b*(b - 7)*(b - 1)*(b + 1)/3
Let c(y) be the first derivative of y**3/6 - 120*y**2 + 28800*y - 742. Let c(a) = 0. Calculate a.
240
Let z(a) be the second derivative of a**7/126 + 91*a**6/90 + 110*a**5/3 + 484*a**4/3 - 4367*a - 2. What is s in z(s) = 0?
-44, -3, 0
Let p(f) = 2*f**3 - 76*f**2 + 271*f + 4. Let d be p(4). Let s(o) be the 