(g) = 51*g**3 + 95*g**2 + 242*g - 288. Let n(c) = -50*d(c) + 4*u(c). Factor n(b).
4*(b - 6)*(b - 1)*(b + 2)
Let u(i) be the first derivative of 1/20*i**6 + 3/20*i**5 - i**3 - 3/8*i**4 + 15*i**2 + 0*i - 41. Let h(d) be the second derivative of u(d). Factor h(j).
3*(j - 1)*(j + 2)*(2*j + 1)
Let p(l) be the first derivative of 8/5*l**5 + 74 + 0*l**2 + 16*l**3 + 1/6*l**6 + 0*l - 11*l**4. Factor p(a).
a**2*(a - 2)**2*(a + 12)
Let b(n) be the first derivative of -1/15*n**4 + 0*n**5 + 0*n**3 + 1/5*n**2 + 10 + 1/75*n**6 - 11*n. Let y(o) be the first derivative of b(o). Factor y(a).
2*(a - 1)**2*(a + 1)**2/5
Let b(c) be the third derivative of -7/3*c**3 + c - 3/10*c**5 + 0 - 1/60*c**6 - 5/4*c**4 - 35*c**2. Suppose b(l) = 0. Calculate l.
-7, -1
Suppose 2*h - 10 = 64. Find d, given that -14*d + 0 + 0*d**2 + 6 + 18*d**2 + 6*d**5 - 11 - h*d**4 + 32*d**3 = 0.
-1/2, -1/3, 1, 5
Let q be 0/(-28 - (-96 + 64)). Factor q*d**2 + 1/3*d**5 + 2/3*d**4 + 0*d**3 + 0 + 0*d.
d**4*(d + 2)/3
Factor -53454*b**3 + 6114*b + 4 - 85880*b**3 - 8138*b - 115691*b**3 + 257045*b**2.
-(b - 1)*(505*b - 2)**2
Let w(h) be the third derivative of h**5/480 + 353*h**4/64 + 1057*h**3/24 - 3*h**2 + 1149*h. Factor w(i).
(i + 2)*(i + 1057)/8
Determine v, given that -14*v**4 - 238*v**3 + 3968*v - 5120 - 176*v**2 + 1/2*v**5 = 0.
-8, 2, 40
Factor 2/5*d**3 - 14/5*d + 12/5*d**2 - 24.
2*(d - 3)*(d + 4)*(d + 5)/5
Let f be -1 + 0 - (489 + -496). Let h(x) be the third derivative of 0*x - 5/72*x**f - 34*x**2 + 0*x**3 + 0 - 2/9*x**5 - 1/126*x**7 - 5/18*x**4. Factor h(t).
-5*t*(t + 1)*(t + 2)**2/3
Let j = -58 - -60. Factor -3*m + 0*m - 9*m + 10 + j*m**2.
2*(m - 5)*(m - 1)
Let h be 8/((-10)/5*-2). Let b = 30 - 16. Factor 11*d + 4*d + 3*d**2 + b - 4 + h*d**2.
5*(d + 1)*(d + 2)
Let q(p) = -p**3 - 3*p**2 + p. Let f(n) = -4*n**3 + 66*n**2 + 798*n - 1936. Let o(y) = -f(y) + 6*q(y). Factor o(x).
-2*(x - 2)*(x + 22)**2
Let h be 93/(-341)*18/(-756)*66. Let 0*u - 6/7*u**3 + 0 + 0*u**2 - h*u**4 = 0. Calculate u.
-2, 0
Let m = 2/119 + 134/119. Let v = -623302 + 623305. Let 0*g**2 + 0*g + m*g**4 + 0 + 6/7*g**v + 2/7*g**5 = 0. What is g?
-3, -1, 0
Let x be (336/88 - 2) + 4/22. Find s, given that 3*s**3 + 115*s - 91*s + s**3 + 28*s**x = 0.
-6, -1, 0
Let u(h) be the second derivative of -h**6/30 - 4*h**5/15 + 11*h**4/6 - 4*h**3 + 20*h**2 - 60*h. Let p(v) be the first derivative of u(v). Solve p(l) = 0 for l.
-6, 1
Let -2/3*n**2 + 43/3*n - 7 = 0. What is n?
1/2, 21
Let f = 7/1707 + 5093/6828. Factor 9/8*n + 1/8*n**3 - 1/2 - f*n**2.
(n - 4)*(n - 1)**2/8
Let b be -26*(-1)/(4/8) + -4. Find k such that b + 8*k**2 + 40 + 5*k + k**3 - 78 + 12*k = 0.
-5, -2, -1
Let i(x) be the first derivative of -x**6/150 - 3*x**5/50 - x**4/5 - 4*x**3/15 - 38*x - 54. Let y(c) be the first derivative of i(c). Factor y(r).
-r*(r + 2)**3/5
Find n such that 10*n - 2*n**3 - 7*n - 26*n - 2*n**3 + 27*n**2 = 0.
0, 1, 23/4
Let y(x) be the first derivative of 7*x**4/3 + 46*x**3/3 + 12*x**2 + 32*x - 28. Let f(q) be the first derivative of y(q). Determine g so that f(g) = 0.
-3, -2/7
Suppose 3*b = 5*m + 5 + 19, -27 = -4*b + 5*m. Let c(d) be the first derivative of 2 + 0*d - 1/5*d**2 - 2/15*d**b. Solve c(p) = 0.
-1, 0
Let j(s) be the first derivative of -s**6/45 - 68*s**5/25 - 1399*s**4/15 - 20192*s**3/45 - 4067*s**2/5 - 9604*s/15 - 1759. Find g, given that j(g) = 0.
-49, -2, -1
Let o = 5393 - 5390. Let q(k) be the third derivative of -6*k**2 - 1/12*k**5 + 0 + 0*k - 5/8*k**4 + 25/3*k**o. Suppose q(f) = 0. Calculate f.
-5, 2
Let h(z) = 2*z - 25. Let f be h(15). Suppose -135*m**2 - 25*m**3 - 5*m**f + 70*m**2 + 55*m**2 - 20*m**4 = 0. What is m?
-2, -1, 0
Let o(f) be the second derivative of 14641*f**6/75 + 73326*f**5/25 + 184223*f**4/15 + 404*f**3 + 5*f**2 - 2029*f. Factor o(k).
2*(k + 5)**2*(121*k + 1)**2/5
Let c(d) be the third derivative of -d**8/1848 + d**7/231 + 13*d**6/660 - 29*d**5/330 - 6*d**4/11 - 12*d**3/11 + 1302*d**2. Solve c(x) = 0 for x.
-2, -1, 3, 6
Let x = 92751 + -92751. Factor x + 1/6*a**4 - 2/3*a**2 - 1/6*a**3 + 2/3*a.
a*(a - 2)*(a - 1)*(a + 2)/6
Let -1/11*o**3 - 4899/11*o - 141/11*o**2 + 5041/11 = 0. Calculate o.
-71, 1
Let t(c) = 1. Suppose -20*q - 62 = -2. Let f(m) = -2*m**3 - 2*m**2 + 2*m + 5. Let k(g) = q*t(g) + f(g). Let k(o) = 0. What is o?
-1, 1
Let p(x) be the second derivative of 0*x**4 + 0*x**2 + 3/20*x**5 + 0 + 328*x + 0*x**3 - 1/90*x**6. Factor p(o).
-o**3*(o - 9)/3
Factor -5032*u - u**3 - 7817 - 5329 - 139*u**2 - 726.
-(u + 3)*(u + 68)**2
Let d(q) be the first derivative of 88/3*q**3 - 64*q - 112 - 8*q**2 + 6/5*q**5 - 11*q**4. Suppose d(v) = 0. What is v?
-2/3, 2, 4
Let y(w) = 11*w + 22 + 18*w - 28*w. Let x be y(-10). Find k such that 36*k + 24*k**2 + 4 + 2*k**3 + 2*k**3 + x + 0*k**3 = 0.
-4, -1
Factor 12 - 83/2*m - 7/4*m**2.
-(m + 24)*(7*m - 2)/4
Suppose -1/5*b**3 + 564/5 + 20*b - 93/5*b**2 = 0. What is b?
-94, -2, 3
Let x be (-1 - 0) + 52 + (-14368)/288. Factor 32/9 + 4*q**2 - 56/9*q - x*q**3 + 1/9*q**4.
(q - 4)*(q - 2)**3/9
Let -243/2 - 45*l**3 - 135*l**2 - 1/2*l**5 - 15/2*l**4 - 405/2*l = 0. Calculate l.
-3
Let q(o) = -7*o**2 + 57*o + 2. Let y(t) = -15*t**2 + 115*t + 5. Let i = 275 - 277. Let u(v) = i*y(v) + 5*q(v). Factor u(c).
-5*c*(c - 11)
Let j(o) be the first derivative of -2704*o**3/3 + 312*o**2 - 36*o - 2194. Solve j(v) = 0 for v.
3/26
Let n = -784292 - -784294. Find l such that -243/8 - 27/4*l - 3/8*l**n = 0.
-9
Factor 1117 - w**3 + 458*w**2 + w**3 + 11*w**3 - 1808*w - 13*w**3 + 683.
-2*(w - 225)*(w - 2)**2
Let c = 736/3 + -9813/40. Let v(n) be the third derivative of c*n**6 + 0 - 4/15*n**3 + 1/10*n**4 + 0*n + 18*n**2 + 3/50*n**5. Factor v(f).
(f + 2)**2*(5*f - 2)/5
Determine g so that -12/5*g**4 + 0 + 2/5*g**5 - 10*g**3 - 36/5*g**2 + 0*g = 0.
-2, -1, 0, 9
Suppose -m + 5*m = -20, 20 = -5*f - 5*m. What is h in -h**2 + h + 0*h - 7*h - 6 + f = 0?
-5, -1
Factor 15520*v + 367*v**3 + 905*v**3 - 4175 - 3824 - 2369 - 7728*v**2 + 4*v**4.
4*(v - 2)**3*(v + 324)
Let l = -13/6 + 29/12. Suppose 5*o - 462*n + 465*n = -9, o = 5*n + 15. Determine d, given that -1/8*d**3 + l + o*d**2 + 3/8*d = 0.
-1, 2
Suppose 32*v - 69 - 27 = 0. Suppose -v*z + 7 = 2*g, 9 = 4*z - 3*g + 6*g. Factor -2/15*u**z - 4/15*u**2 + 2/15*u + 4/15.
-2*(u - 1)*(u + 1)*(u + 2)/15
Let s(m) be the third derivative of -m**5/270 + 2*m**4/9 - 80*m**3/27 + 1508*m**2 - 1. Solve s(d) = 0 for d.
4, 20
Factor 2/11*w**2 - 2 + 20/11*w.
2*(w - 1)*(w + 11)/11
Let z(o) = 23*o**2 + 442*o - 1406. Let j be z(-22). Factor 56/3*n + 0 + 22/3*n**j.
2*n*(11*n + 28)/3
Let j be ((-1032)/32)/(14/112*72/(-16)). Factor -j*f + 0 - 4/3*f**2.
-4*f*(f + 43)/3
Let h = 84 + -82. Factor 28*f**2 - 2*f**3 - 3 + 0*f**3 + 8*f - 45 - 11*f**2 - 5*f**h.
-2*(f - 6)*(f - 2)*(f + 2)
Let i(q) be the third derivative of q**5/40 - 175*q**4/8 - 318*q**2. Factor i(t).
3*t*(t - 350)/2
Suppose -s + 2*z = -17, -2*s - 10 = 5*z - 44. Let -3*d**4 + s*d - 6 - 15*d**3 + 11*d**4 - 2*d - 2*d**4 = 0. Calculate d.
-1, 1/2, 1, 2
Factor -1/6*f**3 - 93/2*f - 16*f**2 + 0.
-f*(f + 3)*(f + 93)/6
Let r(p) = 9*p**2 + 7*p + 4. Let z be (-2)/((-16)/20)*(-44)/55. Let h(w) = 31*w**2 + 22*w + 11. Let n(m) = z*h(m) + 7*r(m). Solve n(g) = 0.
-3, -2
Let y(h) be the first derivative of -2*h**3/51 + 43*h**2/17 + 88*h/17 - 2726. Factor y(c).
-2*(c - 44)*(c + 1)/17
Let g be 2/(-1)*(-9 + 8). Let h be (-5)/g*32/(-200)*5. Suppose 32/3*s - 20/3*s**h + 4/3*s**3 - 16/3 = 0. Calculate s.
1, 2
Let g(f) be the first derivative of -2/3*f**3 + 1/10*f**4 + 0*f - 71 + 0*f**2. Factor g(p).
2*p**2*(p - 5)/5
Let h = -305834 + 3364176/11. Suppose -2*q = q. Factor -8/11*g**2 - 8/11*g - h*g**3 + q.
-2*g*(g + 2)**2/11
Let x(f) be the second derivative of -2*f**4/27 + 307*f**3/27 + 77*f**2/9 + 4668*f. Suppose x(w) = 0. What is w?
-1/4, 77
Let w(y) be the third derivative of -2*y**7/105 - 3*y**6/20 + 23*y**5/240 + 39*y**4/16 - 169*y**3/24 + 8*y**2 - 9*y + 4. Solve w(j) = 0.
-13/4, 1
Let s(j) be the first derivative of -3*j**4/20 - 31*j**3/5 - 9*j**2 + 1413. Solve s(u) = 0.
-30, -1, 0
Find o, given that -5*o**5 + 9*o**5 - 7*o**5 - 4*o**4 - 2*o**3 - 6*o**5 + 15*o**4 = 0.
0, 2/9, 1
Suppose -3*c + 5*u + 52 + 98 = 0, -2*u + 174 = 4*c. Let r = c - 33. Factor r*n - 6*n + 2*n**5 - 6*n + 12*n**4.
2*n**4*(n + 6)
Let l(t) = 4*t**5 + 120*t**4 + 1014*t**3 + 1678*t**2 + 784