**4 + 144431/3*d**2 - 1/3*d**5 - 11923/3*d**3 - 577600/3 - 421040/3*d = 0.
-1, 8, 95
Suppose -2*t - 6 = -d, t + 12 = -0*t - 4*d. Let u be (-102)/t + (-3)/(-2). Determine f so that -44*f**3 + u*f**3 + 19*f**3 = 0.
0
Factor -6*d**2 - 1060/3*d + 118/3.
-2*(d + 59)*(9*d - 1)/3
Let z = -119 - -120. Let l be 36*z + 10/(-5). Factor 73*m**4 - 42*m**4 - l*m**4 + 3*m**3 - 3*m + 3*m**2.
-3*m*(m - 1)**2*(m + 1)
Let l(a) be the second derivative of -7*a - 4 + 0*a**2 + 1/11*a**4 - 1/33*a**3 + 3/77*a**7 - 2/55*a**6 - 4/55*a**5. Solve l(v) = 0 for v.
-1, 0, 1/3, 1
Let u(i) be the second derivative of 2*i**6/15 - 13*i**5/5 - 191*i**4 - 2206*i**3/3 - 1088*i**2 + 8*i - 19. Find g, given that u(g) = 0.
-17, -1, 32
Let 90*p**2 + 4*p + 4068 + 522*p**2 - 2*p - 2*p**3 + 98*p**2 - 4778 = 0. What is p?
-1, 1, 355
Let v = -861 - -829. Let t be -10 + 15 - v/(-10). Find y, given that 6/5*y**2 - t + 12/5*y + 3/5*y**4 - 12/5*y**3 = 0.
-1, 1, 3
Suppose v + 552*j - 551*j - 23 = 0, 71 = 4*v + j. Factor -4/5*x**2 - v + 84/5*x.
-4*(x - 20)*(x - 1)/5
Suppose -40*s + 871*s**3 - 6*s**2 + 2*s**4 - 859*s**3 - 3 - 21 = 0. Calculate s.
-6, -1, 2
Factor 0*t**5 - t**5 - 144*t + 743*t**2 + 16*t**4 - 1287*t**2 - 88*t**3 + 736*t**2.
-t*(t - 6)**2*(t - 2)**2
Find s such that -1764 - 5*s**2 + 3*s**3 - 155*s + 20*s**2 - 202*s - 9*s**2 = 0.
-7, 12
Let k = 52266/5 - 52252/5. Let -k - 8*s + 6/5*s**2 = 0. Calculate s.
-1/3, 7
Let o = 2170 + -2158. Let f be (28/399)/(4/o). Factor -6/19*p - 6/19*p**2 + f + 4/19*p**3.
2*(p - 2)*(p + 1)*(2*p - 1)/19
Let 9 + 10 + 8317*q**3 - 9 - 2*q**4 + 4*q - 8326*q**3 - 8*q**2 + 5*q = 0. Calculate q.
-5/2, -2, -1, 1
Let a(d) be the first derivative of -3*d**6/5 + 456*d**5/25 - 697*d**4/10 + 556*d**3/5 - 444*d**2/5 + 176*d/5 + 465. Solve a(c) = 0 for c.
2/3, 1, 22
Let f(l) be the second derivative of 25205*l**4/12 - 2130*l**3 + 810*l**2 + 5*l + 48. Let f(c) = 0. Calculate c.
18/71
Factor 3648/5 + 3642/5*g**2 - 7293/5*g + 3/5*g**3.
3*(g - 1)**2*(g + 1216)/5
Factor 0 + 5/4*g**2 + 55*g.
5*g*(g + 44)/4
Let y be ((-38)/3)/((-6)/9). Let m(o) = 2*o**2 - 26*o + 2. Let r be m(13). Factor -4*v + 5*v**2 + 6*v**r - y*v**2.
-4*v*(2*v + 1)
Let o(l) be the first derivative of -l**4/22 + 724*l**3/33 - 32761*l**2/11 - 2410. Factor o(f).
-2*f*(f - 181)**2/11
Let h(q) be the third derivative of q**5/40 - q**4/16 - 39*q**3 - 4*q**2 - 3*q - 62. Factor h(v).
3*(v - 13)*(v + 12)/2
Factor 72*u**3 - 647/2*u - 27/2 - 1932*u**2.
(u - 27)*(12*u + 1)**2/2
Suppose -2*l = -0*l. Suppose -v + 3 = 3*g - 24, 2*g + 4*v - 18 = l. Factor -244*z**2 + 242*z**2 - 1 - 9*z**3 + 3 + g*z.
-(z - 1)*(z + 1)*(9*z + 2)
Let n(v) be the third derivative of v**9/60480 - v**8/4480 - 17*v**4/6 + 23*v**2. Let a(c) be the second derivative of n(c). Find l such that a(l) = 0.
0, 6
Let u(t) be the second derivative of t**6/60 - 31*t**5/40 + 49*t**4/6 - 23*t**3 - 7588*t. Find w, given that u(w) = 0.
0, 2, 6, 23
Let n be (-3 - -13)*(-5)/2*-1. Solve -7309*d**2 - 9*d + 5*d**4 - 6*d + 7344*d**2 - n*d**3 = 0 for d.
0, 1, 3
Let y(i) be the second derivative of -2*i + 23/10*i**4 + 1/75*i**6 + 14 - 11/25*i**5 + 572/15*i**3 + 676/5*i**2. Find q, given that y(q) = 0.
-2, 13
Let y(c) be the second derivative of -205379*c**6/105 + 27848*c**5/5 + 6844*c**4/7 + 1408*c**3/21 + 16*c**2/7 - 4*c - 899. Solve y(h) = 0 for h.
-2/59, 2
Let i(o) = o**2 - 3*o - 1. Let u(g) = -16*g**2 + 32*g + 6. Let k(l) = 2*i(l) + u(l). Factor k(x).
-2*(x - 2)*(7*x + 1)
Let c be ((399/(-35))/(-19))/((-15)/(-50)). Solve 14/15*p**3 + 12/5*p**c + 8/3*p + 2/15*p**4 + 16/15 = 0 for p.
-2, -1
Let w(d) be the third derivative of d**6/1260 - 5*d**5/84 - 13*d**4/42 - 43*d**3/6 + 4*d**2 + 7. Let m(n) be the first derivative of w(n). Solve m(q) = 0.
-1, 26
Let g be 1*3/3 - (6 - 8). Factor -k**3 + 67*k - 51*k + 3*k**3 - 6*k**g.
-4*k*(k - 2)*(k + 2)
Let a(y) be the first derivative of y**7/1008 + 11*y**6/1080 + y**5/90 - 19*y**3/3 - 14. Let x(z) be the third derivative of a(z). Factor x(h).
h*(h + 4)*(5*h + 2)/6
Suppose 0 = 5*d - 2*d. Factor 30*j**3 - 5*j**4 - 13*j**2 + 62*j**2 + 6*j**2 - 500 - 300*j + d*j**4.
-5*(j - 5)**2*(j + 2)**2
Let d(k) = 2*k**3 - 44*k**2 + 26*k + 63. Let i(m) = 5*m**3 - 85*m**2 + 50*m + 125. Let l(j) = 5*d(j) - 3*i(j). Factor l(x).
-5*(x - 6)*(x - 2)*(x + 1)
Let c(s) be the second derivative of -s**4/24 + 3*s**3/2 + 22*s**2 + 93*s - 18. Factor c(d).
-(d - 22)*(d + 4)/2
Let g(n) be the third derivative of 0*n**4 + 1/1344*n**8 + 0*n + 0*n**7 - 1/40*n**5 - 62*n**2 - 7/480*n**6 + 0*n**3 + 0. Solve g(v) = 0.
-2, -1, 0, 3
Let d = -805 - -834. Suppose 34*p = d*p. Factor 9*j**4 - 6*j**5 + 45/8*j**3 + 3/4*j**2 + 0*j + p.
-3*j**2*(j - 2)*(4*j + 1)**2/8
Let t(w) be the third derivative of -25*w**8/84 - 356*w**7/21 + 64*w**6/5 + 854*w**5/15 - 359*w**4/6 + 24*w**3 - 873*w**2. Determine q, given that t(q) = 0.
-36, -1, 1/5, 1
Factor -481*f**2 + 48258 + 45357 + 11391*f + 4962*f + 3*f**3 + 49*f**2 - 27*f**2.
3*(f - 79)**2*(f + 5)
Suppose -j - 5*i + 37 = 0, j + 33*i - 35*i = -12. Find a such that -153/2*a**j - 14739/2 + 2601/2*a + 3/2*a**3 = 0.
17
Factor -4840 + 24639*t - 90*t**2 - 22209*t + 85*t**2.
-5*(t - 484)*(t - 2)
Let h be (-12)/((-96)/40) - 753. Let y = -4487/6 - h. Solve -1/6*p - 2/3 + 2/3*p**2 + y*p**3 = 0.
-4, -1, 1
Suppose 247 = -9*u - 266. Let d be ((-95)/u)/(2/6). Find s such that -3/5*s**d + 0 + 12/5*s**2 - 12/5*s + 9/5*s**3 - 6/5*s**4 = 0.
-2, 0, 1
Factor -176/7*p**2 + 680/7*p - 96 + 2/7*p**3.
2*(p - 84)*(p - 2)**2/7
Let q(h) be the second derivative of h**7/105 + 347*h**6/25 + 135199*h**5/25 - 136241*h**4/15 - 90133*h**3/5 + 271441*h**2/5 + 1479*h. Solve q(a) = 0.
-521, -1, 1
Let r(b) be the first derivative of -19*b**3/3 - 11*b**2/2 - b + 9. Let k(a) = -a**2 + a - 1. Let q(y) = -3*k(y) + r(y). Factor q(t).
-2*(t + 1)*(8*t - 1)
Suppose -15 = -34*s + 29*s. Determine h so that -4*h**s + 6*h - 5*h**2 - 60*h**4 + 68*h**4 - 2*h**5 - 3*h**2 = 0.
-1, 0, 1, 3
Suppose 73*q - 5334 = 200*q. Let r be (-170)/17 + q/(-4). Suppose -3/2*y**3 + r*y**4 + 1/2*y**5 + y - 1/2*y**2 + 0 = 0. Calculate y.
-2, -1, 0, 1
Let v(b) = -2*b**2 - 70*b + 798. Let a(o) = 10*o**2 + 360*o - 3990. Let u(j) = 3*a(j) + 14*v(j). Factor u(m).
2*(m - 7)*(m + 57)
Let i(t) = -3*t**3 - 97*t**2 - 220*t - 141. Let v(z) = -z**3 + z**2 - 2*z - 7. Let c(b) = i(b) - 5*v(b). Find h such that c(h) = 0.
-1, 53
Let n(x) be the third derivative of -x**8/1344 + x**7/70 - 23*x**6/480 - 3*x**5/20 - 15*x**2 + 5*x - 6. Suppose n(o) = 0. Calculate o.
-1, 0, 4, 9
Let -3/5*a**5 - 666/5*a**3 - 177/5*a**4 + 99 - 318/5*a**2 + 669/5*a = 0. What is a?
-55, -3, -1, 1
Let y = -5078 + 5080. Let b(h) be the first derivative of 1/15*h**3 + 1/5*h**y + 1/5*h - 7. What is w in b(w) = 0?
-1
Let y(g) be the second derivative of g**4/12 - 31*g**3/6 + 117*g**2 + 1977*g. Find d, given that y(d) = 0.
13, 18
Let t(u) be the second derivative of 2/15*u**6 + 0*u**2 - u**5 - 1/3*u**4 - 52*u + 10/3*u**3 + 3. Factor t(h).
4*h*(h - 5)*(h - 1)*(h + 1)
Let c = -172264/19 - -9076. Let s = c - 1790/209. Factor 2/11*u**4 - 16/11 + 12/11*u**2 - 8/11*u + s*u**3.
2*(u - 1)*(u + 2)**3/11
Suppose -d + 201 = 199. Let h(w) be the first derivative of -4/15*w**3 + 9 + 12/5*w - 4/5*w**d. Factor h(k).
-4*(k - 1)*(k + 3)/5
Suppose c - 4 + 1 = 0. Factor 2*v**2 + 260*v**c - 261*v**3 + 2*v**4 - 3*v**4.
-v**2*(v - 1)*(v + 2)
Let h be -1*(-7)/3 - (-4)/(-12). Solve -3*j**h + j**4 - 676 + 29*j - 670 - 9*j**3 + 1328 = 0 for j.
-2, 1, 9
Let x(a) = 5*a**2 + 8*a + 109. Let o(f) be the second derivative of -f**4/6 - 2*f**3/3 - 27*f**2 + 2*f + 10. Let v(l) = -13*o(l) - 6*x(l). Factor v(w).
-4*(w - 4)*(w + 3)
Let u(v) = -4*v**3 - 8*v**2 - 24*v + 18. Let l = 238 + -232. Let j(b) = -b**3 - b**2 - b. Let m(t) = l*j(t) - u(t). Factor m(o).
-2*(o - 3)*(o - 1)*(o + 3)
Solve 783/5*d**4 - 29952/5*d + 32088/5*d**2 - 9042/5*d**3 + 6144/5 - 21/5*d**5 = 0.
2/7, 1, 4, 16
Let m be 96/(-56)*(-19 - 2320/(-128)). Factor -1/2*s**4 + m*s**3 + 5/2*s**2 - 3/2*s - 2.
-(s - 4)*(s - 1)*(s + 1)**2/2
Let u be (4*1 + (-1924)/592)*32/66. Let x(i) be the first derivative of -17 + u*i - 5/22*i**2 + 1/33*i**3. Factor x(a).
(a - 4)*(a - 1)/11
Let p(j) be the first derivative of j**4/4 + 3*j**3 - 60*j**2 + 272*j + 6669. Suppose p(a) = 0. What is a?
-17, 4
Let 178 + 434268*o**2 + 10488*o**3 + 173 + 