0. Let o(x) be the second derivative of 37*x + 1/10*x**5 - 2/9*x**4 + 0*x**2 + 0 - 4/9*x**b - 1/63*x**7 + 2/45*x**6. Factor o(a).
-2*a*(a - 2)**2*(a + 1)**2/3
Let v(s) be the first derivative of -s**7/840 - s**6/120 - s**5/60 + s**3 + 9*s**2/2 + 26. Let a(p) be the third derivative of v(p). Factor a(k).
-k*(k + 1)*(k + 2)
Let o be (-12)/(-32) + 14147/56. Factor 116*c - 3*c**2 - o*c + 129*c + 2*c**2.
-c*(c + 8)
Determine j so that -1/3*j - 44/3 + 1/3*j**3 + 44/3*j**2 = 0.
-44, -1, 1
Let u be ((-8)/10)/(224/(-140))*(-8 + 0) + 13. Find w, given that -u*w - w**2 - 81/4 = 0.
-9/2
Let n = -141716/11 - -1275488/99. Determine x so that 7396/9 + 340/9*x**4 - n*x**5 + 7052/9*x - 7736/9*x**2 - 7048/9*x**3 = 0.
-1, 1, 43
Suppose -2*l + 46 = 2*q, -6*q + 3*q + 4*l + 48 = 0. Suppose -6*x - 126 = -q*x. Factor 3*k + x*k**2 + 1/4.
(6*k + 1)**2/4
Let k(j) be the third derivative of j**10/6048 - j**8/448 + j**7/252 + j**4/24 + 7*j**3/6 - 70*j**2. Let s(c) be the second derivative of k(c). Factor s(d).
5*d**2*(d - 1)**2*(d + 2)
Let w(v) be the third derivative of v**7/35 + 23*v**6/6 + 160*v**5/3 + 445*v**4/6 - 161*v**3 + 80*v**2 + 65. Find j, given that w(j) = 0.
-69, -7, -1, 1/3
Let d be 26/7 + (3 - (-57)/(-21)). Find o such that 9*o - o**2 - 2*o**4 + 6 + 7*o + d*o**2 + 9*o**2 = 0.
-1, 3
Let m(r) = -5*r**3 - 3*r**2 - 6*r - 6. Let k be m(-2). Let l = -31 + k. Factor 998*x**5 - 994*x**5 + 0*x**l - 4*x**3.
4*x**3*(x - 1)*(x + 1)
Factor -4596512/13 - 6064/13*f - 2/13*f**2.
-2*(f + 1516)**2/13
Let p = 883 - 883. Let i(f) be the second derivative of 11/24*f**3 + 1/20*f**5 + 13/48*f**4 + p + 1/4*f**2 - 12*f. Factor i(d).
(d + 1)*(d + 2)*(4*d + 1)/4
Let w(d) = 5*d**3 - 2*d**2 - 5*d - 22. Let a be w(-6). Let y be (312/a)/(1/(-11)). Let 27/7*x + 3/7*x**y + 12/7 + 18/7*x**2 = 0. What is x?
-4, -1
Let k be (190/(-12))/(80/(-144))*2/24. Let p(f) be the first derivative of 2 + 17/12*f**3 - k*f**2 + 1/2*f. Factor p(n).
(n - 1)*(17*n - 2)/4
Suppose 81*f - 265 = -39*f - 25. Factor -14/3*p**4 - 26/3*p**f + 8/3*p + 2/3*p**5 + 10*p**3 + 0.
2*p*(p - 4)*(p - 1)**3/3
Suppose 72 - 252/5*o + 56/5*o**2 - 4/5*o**3 = 0. What is o?
3, 5, 6
Factor 77284/9 + 4170*i - 184/3*i**2 + 2/9*i**3.
2*(i - 139)**2*(i + 2)/9
Let t(q) be the first derivative of 2*q**3/9 - 143*q**2/3 + 284*q/3 + 2340. Let t(s) = 0. Calculate s.
1, 142
Factor 110*i**2 + 5*i - 4*i**3 - i**3 - 10*i**4 - 100*i**2.
-5*i*(i - 1)*(i + 1)*(2*i + 1)
Let z = 154361/9 + -17151. Let i(t) be the first derivative of 0*t**2 + z*t**3 - 2/45*t**5 + 0*t + 19 - 1/9*t**4. Determine o, given that i(o) = 0.
-3, 0, 1
Let y = 311245 - 311243. Factor -2*u**y + 0 - 1/4*u.
-u*(8*u + 1)/4
Let r(m) be the third derivative of m**8/168 + 4*m**7/105 + m**6/12 + m**5/15 + 2*m**2 - 1367*m. Solve r(b) = 0 for b.
-2, -1, 0
Let g(f) = 4*f**3 + 73*f**2 + 24*f - 363. Let c(j) = 20*j**3 + 362*j**2 + 124*j - 1814. Let v(l) = 3*c(l) - 14*g(l). Factor v(o).
4*(o - 2)*(o + 3)*(o + 15)
Let g(j) be the first derivative of -j**7/84 - j**6/90 + j**5/12 + j**4/6 - j**3/3 - 32*j + 57. Let u(o) be the third derivative of g(o). Solve u(q) = 0.
-1, -2/5, 1
Let z be (3/(-8))/((-168)/(-120) + (-162)/30). Let g(o) be the second derivative of 0*o**3 + 0*o**2 + 1 - 3/160*o**5 + 19*o + z*o**4. Find j such that g(j) = 0.
0, 3
Let m be (-1065)/1278*5/25*-12. Factor -66*j + 1452 + 3/4*j**m.
3*(j - 44)**2/4
Let d(u) be the second derivative of 0 + 1/6*u**4 + 8*u**2 + 168*u - 3*u**3. Find a, given that d(a) = 0.
1, 8
Let w = -51 - -39. Let x = -9 - w. Factor -4 - 3*z**2 - x*z**2 + 4*z**3 + 5*z**4 - 3*z - z + 5.
(z - 1)*(z + 1)**2*(5*z - 1)
Suppose 117 = -395*p + 907. Determine h, given that -1/3*h**4 - 1/3*h**3 - 16/3 - 4/3*h + 4*h**p = 0.
-4, -1, 2
Suppose 55*w - 1852 = -202. Let q = 4 + 0. Factor -w*v**3 - 8*v + 20*v**q + 3*v + 10*v**2 + 10*v**2 - 5*v**5.
-5*v*(v - 1)**4
Let m(k) = 19*k**4 + 143*k**3 - 497*k**2 - 1443*k - 810. Let w(u) = 21*u**4 + 142*u**3 - 498*u**2 - 1442*u - 810. Let b(y) = -13*m(y) + 12*w(y). Factor b(j).
5*(j - 27)*(j - 6)*(j + 1)**2
Let v(d) be the third derivative of 6*d + 1/780*d**6 + 0 - 17/390*d**5 - 5/13*d**3 + 31/156*d**4 - 24*d**2. Factor v(x).
2*(x - 15)*(x - 1)**2/13
Let u(b) be the third derivative of -3/10*b**4 + 1/350*b**7 + 0 + 0*b - 97*b**2 + 8/5*b**3 + 3/200*b**6 - 2/25*b**5. Determine f, given that u(f) = 0.
-4, -2, 1, 2
Suppose -2*l = 117*n - 113*n + 2768, 2*n - 4136 = 3*l. Let s = l + 6909/5. Determine d so that 0 - d**2 + s*d**4 - 1/5*d - 3/5*d**3 = 0.
-1/3, 0, 1
Let x = -72 + 75. Factor -9*u**3 - 54*u**2 - 42*u**2 + 86*u**2 + 5*u**5 - 6*u**x.
5*u**2*(u - 2)*(u + 1)**2
Let k(g) = 6*g + 3. Let u be k(-1). Let w be 18*(3 + u + 3). Factor -3*n**3 + w*n**2 - 57*n**2 + 4 + 0 + 4*n**3.
(n - 2)**2*(n + 1)
Let i = -74 - -76. Let p be ((-1044)/(-84) + -12)*7/i. Let -8 + 6*g - p*g**2 + 1/8*g**3 = 0. Calculate g.
4
Let m be 2718/(-11778) - (-29)/13*1. Factor 64/7*j - 2*j**3 + 12/7*j**m + 2/7*j**4 - 64/7.
2*(j - 4)**2*(j - 1)*(j + 2)/7
Let y(h) be the second derivative of -h**4/6 + 62*h**3/3 + 63*h**2 + 2*h - 8. Let y(b) = 0. What is b?
-1, 63
Let t(y) = 2*y**2 + 295*y - 296. Let m be t(1). Let z(q) be the first derivative of 3/2*q**2 - 15/4*q**4 + q + 18/5*q**5 + m - 7/3*q**3. Factor z(k).
(k - 1)*(2*k - 1)*(3*k + 1)**2
Let l = 80 + -72. Factor -2 - 6 - 7 + 4*o**2 + 19 + l*o.
4*(o + 1)**2
Let x = 796663 + -796663. Solve x - 180*v**2 + 27*v**4 + 19/2*v**3 + 50*v + 7/2*v**5 = 0.
-5, 0, 2/7, 2
Factor -144*i - 4/5*i**3 - 192/5*i**2 - 704/5.
-4*(i + 2)**2*(i + 44)/5
Let a = 293/5 + -10547/180. Let h(v) be the third derivative of 0*v - 1/180*v**6 + 0*v**3 + 1/630*v**7 + 11*v**2 + 1/36*v**4 - a*v**5 + 0. Factor h(b).
b*(b - 2)*(b - 1)*(b + 1)/3
Let c(l) be the first derivative of -60/7*l + 5/7*l**3 + 3/28*l**4 - 64 - 6/7*l**2. Factor c(u).
3*(u - 2)*(u + 2)*(u + 5)/7
Let s = 2704 + -86519/32. Let g = s - -7/32. Factor 1/2*o**3 - g*o + 0 - 1/2*o**2 + 1/2*o**4.
o*(o - 1)*(o + 1)**2/2
Find b such that 78*b**4 - 66*b**4 + 1408*b**2 - 406*b**3 - 2308*b - 180 + 1474*b = 0.
-1/6, 1, 3, 30
Let q be (10/(-615))/(74/(-3034)). Let o = 52/9 - 40/9. Suppose q*w**5 - 1/3 - o*w**3 + 2/3*w**2 + 2/3*w - 1/3*w**4 = 0. Calculate w.
-1, 1/2, 1
Let k(r) be the second derivative of r**5/45 - 17*r**4/9 + 100*r**3/27 - 1972*r. What is t in k(t) = 0?
0, 1, 50
Let y(q) be the third derivative of -1/420*q**6 + 22 - 3*q**2 + 61731/7*q**3 - 3249/28*q**4 + 0*q + 57/70*q**5. Let y(b) = 0. Calculate b.
57
Let g(v) be the second derivative of -v**7/84 + 19*v**6/60 - 9*v**5/4 + 5*v**4/3 + 104*v**3/3 - 96*v**2 - 13*v + 10. Solve g(f) = 0 for f.
-2, 1, 4, 12
Find x, given that 444439 + 218*x - 445255 - 102*x - 3*x**2 + 703*x = 0.
1, 272
Let i be (120/9)/((-10)/(-15)). Suppose z - i = -3*z. Factor 0*a**2 + z*a**2 + 2*a**2 + 5*a - 2*a**2.
5*a*(a + 1)
Let a(y) be the second derivative of y**6/45 - 56*y**5/15 + 1045*y**4/6 + 112*y**3/9 - 3136*y**2/3 + 329*y. Suppose a(j) = 0. Calculate j.
-1, 1, 56
Let a(o) be the third derivative of -o**5/15 + 31*o**4/6 - 56*o**3 - 454*o**2. Factor a(f).
-4*(f - 28)*(f - 3)
Let 90287*r + 4*r**2 - 39901*r - 44092*r + 3146 = 0. What is r?
-1573, -1/2
Let p(n) be the second derivative of 20/3*n**3 + 0*n**2 - 104*n - 6/5*n**5 - n**4 - 2/15*n**6 + 0. Factor p(h).
-4*h*(h - 1)*(h + 2)*(h + 5)
Suppose -59 = -11*o + 106. Let y be (15 - o)*(-2)/(-4). Suppose 0 + y*g + 0*g**2 - 1/8*g**4 + 1/4*g**3 = 0. What is g?
0, 2
Let a = 402892 + -402889. Determine g, given that 0*g + 1/6*g**5 - 4/3*g**4 + 0 + 0*g**2 - 3/2*g**a = 0.
-1, 0, 9
Suppose -45*p**4 + 167*p**2 - 158*p**5 + 79*p**5 + 74*p**5 - 130*p**3 - 287*p**2 = 0. Calculate p.
-4, -3, -2, 0
Let b(c) be the third derivative of -c**6/120 - 81*c**5/160 + 79*c**4/96 + 31*c**3/16 + c**2 - 13*c - 38. Factor b(k).
-(k - 1)*(k + 31)*(8*k + 3)/8
Determine c so that -3/5*c**2 - 8427/5 + 318/5*c = 0.
53
Suppose 109760 = 23*u + 33*u. Let x = 21592/11 - u. Solve 10/11*y**2 + 14/11*y**3 - x*y + 8/11 = 0 for y.
-2, 2/7, 1
Let k(g) = 136*g**2 - 150*g - 1010. Let t(u) = 354*u**2 - 376*u - 2526. Let d(f) = -13*k(f) + 5*t(f). Factor d(a).
2*(a + 10)*(a + 25)
Suppose -396 = -216*j + 18*j. Solve 0*s + 0 + 15/7*s**j + 3*s**3 = 0 for s.
-5/7, 0
Let r(t) be the first derivative of -3/10*t**2 + 3/4*t**4 + 8/15*t**3 + 4/25*t**5 + 71 + 0*t. Let r