**5 - 3/5*q**4 + 0*q**3 + l*q.
3*q**4*(q - 1)/5
Let f(g) be the second derivative of -29/21*g**3 + 0*g**2 + 1/42*g**4 - 50*g + 2. Suppose f(n) = 0. Calculate n.
0, 29
Suppose 0 = -4*s - 2*i + 50, 30 = s + 324*i - 327*i. Let a(n) be the first derivative of 0*n + 1/12*n**4 + s - 2/9*n**3 + 1/6*n**2. Factor a(u).
u*(u - 1)**2/3
Let z(w) be the first derivative of -1/720*w**6 + 4/3*w**3 + 0*w + 0*w**2 + 1/12*w**4 + 0*w**5 + 10. Let n(r) be the third derivative of z(r). Solve n(b) = 0.
-2, 2
Let i be (-27 + 10 - -10) + -878. Let f be (-59)/i + 43/30. Factor f*q**4 - 9/2*q**2 + 0*q - q**3 + 2.
(q - 2)*(q + 1)**2*(3*q - 2)/2
Factor 0*a + 0 - 56/5*a**2 + 24/5*a**3 + 2/5*a**4.
2*a**2*(a - 2)*(a + 14)/5
Let x = 121/1020 - -1/68. Suppose -15*c - 1625 + 1670 = 0. Factor x*b**4 + 8/15*b + 0 - 2/5*b**c + 0*b**2.
2*b*(b - 2)**2*(b + 1)/15
Let w(i) be the second derivative of i**4/4 - 2293*i**3/18 - 85*i**2 - 2*i + 5240. Factor w(a).
(a - 255)*(9*a + 2)/3
Let d(c) be the first derivative of -7/2*c**6 - 2*c**3 + 0*c**2 + 0*c + 36/5*c**5 - 9/4*c**4 + 49. Factor d(j).
-3*j**2*(j - 1)**2*(7*j + 2)
Let z(o) be the first derivative of 5*o**3/3 + 485*o**2/2 + 480*o - 112. Determine k, given that z(k) = 0.
-96, -1
Let t = 33 - 30. Suppose d = -5*j + 7, 3*d - 2*j = -t*j + 7. Solve -101 + 35*p + 293 + 2*p**2 + p**d + 13*p = 0 for p.
-8
Find m such that 0*m - 2/9*m**4 + 0 + 70/3*m**2 - 209/9*m**3 + 1/9*m**5 = 0.
-14, 0, 1, 15
Let d be (-115)/(-30) - (-1)/6. Suppose d*r - 14 = 46. Let -20*g + r + 5 - 3*g**2 + 8*g**2 = 0. Calculate g.
2
Let i(m) be the first derivative of -17/9*m**3 + 4/3*m + 14/3*m**2 + 55 - 5/4*m**4. Factor i(s).
-(s - 1)*(s + 2)*(15*s + 2)/3
Suppose u = 3*m + 532, 488 = -5*m - 5*u - 372. Let l = m + 530/3. Factor 0 + 0*x + l*x**3 - 1/3*x**4 - 1/3*x**2.
-x**2*(x - 1)**2/3
Let o(x) = 6*x - 33. Let y be o(-10). Let g = y + 95. Factor 3*r**g + 0*r + 12*r + 2*r**3 + 0*r**3 - 13*r**2.
2*r*(r - 3)*(r - 2)
Suppose -80 + 20*l - 5/4*l**2 = 0. What is l?
8
Let v = -79 + 83. Let 0*x**2 - 326*x**v + 325*x**4 - 5*x + 5*x**3 - 3*x**2 + 4*x**2 = 0. Calculate x.
-1, 0, 1, 5
Let u(n) be the second derivative of 3/160*n**5 + 1/16*n**4 + 2 - 3/16*n**3 + 0*n**2 + 69*n. Solve u(d) = 0.
-3, 0, 1
Let q = -175 + 178. Factor -20 - 60*p - 10*p**q - 34*p**2 - 12*p**2 + p**2.
-5*(p + 2)**2*(2*p + 1)
Let k(j) be the third derivative of -1/1020*j**6 + 0 - 1/510*j**5 + 1/51*j**3 + 0*j + 72*j**2 + 1/204*j**4. Factor k(w).
-2*(w - 1)*(w + 1)**2/17
Let w = -778262 - -778262. Factor -32/15*i + 14/15*i**3 + 16/15*i**2 + 2/15*i**4 + w.
2*i*(i - 1)*(i + 4)**2/15
Suppose 61/3*d**4 - 86/3*d - 3*d**5 - 15*d**2 - 16/3 + 95/3*d**3 = 0. Calculate d.
-1, -2/9, 1, 8
Let b be (16800/(-144))/(-50) - (-1)/(-3). Let 12/17*q + 2/17*q**b + 10/17 = 0. Calculate q.
-5, -1
Let s(q) be the first derivative of q**5/5 - 48*q**4/5 + 87*q**3/5 - 37*q**2/5 - 2061. Factor s(n).
n*(n - 37)*(n - 1)*(5*n - 2)/5
Suppose -14 + 158 = 12*n. Solve 0*h**2 + n*h**2 + h**2 - 10*h**2 + 15*h + 12 = 0.
-4, -1
Suppose 5*p = w + 20, 4*p = w + 7*p - 20. Determine a so that -3 - 79*a**3 - 2 + 74*a**3 + w*a**2 + 5*a = 0.
-1, 1
Find t, given that 1512*t**2 - 2016 + 2532/5*t**3 - 16/5*t + 4/5*t**4 = 0.
-630, -2, 1
Let f = -36 + 109/3. Let m = 1485719 + -1485719. Suppose -f*t**2 + 5/3*t + m = 0. Calculate t.
0, 5
Let b(q) be the first derivative of 112/3*q**3 - 224 - 40*q - 42*q**2 + 3*q**4. Factor b(y).
4*(y - 1)*(y + 10)*(3*y + 1)
Let m(x) = 2*x**2 - 5*x - 20. Let a be m(-4). Suppose 64 - 127 - 36*y**2 + a*y - 2*y**4 + 16*y**3 + 53 = 0. What is y?
1, 5
Let l(i) = -22*i - 43*i + 21 - 8*i**2 - 21*i - 1079. Let n(c) = 7*c**2 + 87*c + 1058. Let k(q) = -5*l(q) - 6*n(q). Factor k(s).
-2*(s + 23)**2
Determine j, given that 32*j**2 - 2681 - 31*j**2 + 1920 - 760*j = 0.
-1, 761
Let k(c) = 3*c**3 + c**2 - 37*c - 12. Let n be k(-6). Let w = n + 6038/15. Factor -w*u**2 + 2/15 + 2/5*u.
-2*(u - 1)*(4*u + 1)/15
Let u be (-4)/(-35*(-8)/(-140)). Factor -2/13*p**u + 36/13*p - 34/13.
-2*(p - 17)*(p - 1)/13
Suppose -l - 1919 = 4*a, -2*l + 1740 = -3*a + 287. Let f = a + 1925/4. Determine q, given that -f*q**2 + 3/2*q - 5/4 = 0.
1, 5
Let o(d) be the first derivative of 25/6*d**4 + 20/3*d**3 + 4*d**2 + 17 - 4*d. Let h(u) be the first derivative of o(u). Factor h(r).
2*(5*r + 2)**2
Let g(d) be the third derivative of 0 - 38/45*d**5 + d**2 + 16/63*d**7 + 2*d - 109/270*d**6 - 16/9*d**3 + 58/27*d**4 - 25/756*d**8. Let g(n) = 0. Calculate n.
-1, 2/5, 2, 3
Let l(z) = z**3 + 225*z**2 + 2117*z - 2397. Let s(p) = -2*p**3 - 225*p**2 - 2109*p + 2399. Let g(r) = 7*l(r) + 6*s(r). Let g(x) = 0. What is x?
-9, 1, 53
Let l(h) = -30*h**2 + 66600*h - 36962973. Let o(f) = 9*f**2 - 19980*f + 11088892. Let u(b) = 8*l(b) + 27*o(b). Solve u(g) = 0 for g.
1110
Let l(h) = h**5 - h**3 + h**2 - 3. Let c(q) = 8*q**5 + 5*q**4 - 6*q**3 - 4*q**2 - 10*q - 27. Let y(u) = -5*c(u) + 45*l(u). Let y(f) = 0. What is f?
-1, 0, 2, 5
Let m(d) be the second derivative of 1/18*d**4 + 0*d**3 + 4*d**2 + 0 - 5*d - 1/90*d**5. Let w(k) be the first derivative of m(k). Factor w(y).
-2*y*(y - 2)/3
Let i be (0/(-4))/(2/(-1)). Let w(o) be the second derivative of 1/4*o**4 + o + 3/40*o**5 + 0*o**2 + 0*o**3 + i. Determine l so that w(l) = 0.
-2, 0
Suppose 9*g = 4*g + 175. Let k = -32 + g. Factor 4*n**4 + 4 + 0*n**2 - 4*n - 3*n**2 + k*n**4 - 8*n**4 + 4*n**3.
-(n - 2)**2*(n - 1)*(n + 1)
Let h(w) = -w + 7. Let i be h(5). Suppose 8*x + 3 = 19. Factor -6*q**2 + q + 11*q**x - i*q**4 - 3*q**2 - q**5.
-q*(q - 1)*(q + 1)**3
Suppose 7*m + 19 = 3*n, -2*m + 8292 = 5*n + 8274. Suppose 23/4*d**3 - 1/4*d**n - 36*d - 30*d**2 + 0 = 0. Calculate d.
-1, 0, 12
Let t(p) be the first derivative of -p**7/1785 + p**5/170 + p**4/102 + 57*p**2/2 - 32. Let s(u) be the second derivative of t(u). Factor s(k).
-2*k*(k - 2)*(k + 1)**2/17
Let r = -227 + 241. Let u be (-6)/r*(-301)/172. Find v, given that u*v**2 + 9/4*v - 9/4*v**3 + 0 - 3/4*v**4 = 0.
-3, -1, 0, 1
Factor -151*s**4 + 51*s**4 + 120*s**3 + 51*s**4 + 53*s**4 + 332*s**2 + 216*s.
4*s*(s + 1)*(s + 2)*(s + 27)
Let p be (4/3)/(6/(-1485)). Let t = p - -332. Factor -6/5*a**t + 1/10*a**3 + 0 + 0*a.
a**2*(a - 12)/10
Let v = 7811/71109 + 10/7901. Solve 2/9*f**2 + 0 - 2/9*f**4 + 1/9*f - v*f**3 = 0 for f.
-1, -1/2, 0, 1
Let o(g) = -g**2 + 7*g + 76. Let m be o(26). Let b = -418 - m. Factor -9/4*h**3 - 3/4*h**4 + 0 + 0*h**2 + b*h.
-3*h**3*(h + 3)/4
Let o be -2*(-2058)/140 - (-32 - -17). Find k, given that -4107/5 + o*k - 3/5*k**2 = 0.
37
Let h(s) be the second derivative of -s**9/75600 + s**8/4200 - 2*s**7/1575 - 19*s**4/2 + 85*s. Let q(y) be the third derivative of h(y). Factor q(n).
-n**2*(n - 4)**2/5
Let s be -4 + 477/117 + 600/312. Factor x**s + 13/4*x + 1 - 3*x**3.
-(2*x + 1)**2*(3*x - 4)/4
Let s(c) be the third derivative of c**6/40 - 3141*c**5/10 + 3288627*c**4/2 - 4590923292*c**3 - 5*c**2 - 116*c - 2. Factor s(t).
3*(t - 2094)**3
Let a = 89726 + -89724. Solve -4/5 - 8/5*y**a + 2/5*y**3 + 2*y = 0.
1, 2
Suppose -8*a = a - 45. Suppose -a*z**3 + 0*z**3 + 6*z**2 + z**4 - 4*z**3 + 4*z**3 = 0. Calculate z.
0, 2, 3
Let v = 14 - 63. Let t = v + 51. Determine c so that 3*c**t + c - 4*c**2 - c - 3 - 4*c = 0.
-3, -1
What is n in n**2 - 66 - 43*n - 14*n - 8 - 4*n**2 - 160 = 0?
-13, -6
Let i(a) be the third derivative of 1/120*a**6 - 79*a - 1/12*a**5 - a**2 - 1/24*a**4 + 0 + 5/6*a**3. Determine f, given that i(f) = 0.
-1, 1, 5
Let o(u) be the second derivative of 38*u + 1 + 1/24*u**4 + 33/4*u**2 - 7/6*u**3. Solve o(z) = 0 for z.
3, 11
Let i(u) = -u**2 - 3*u + 75. Let d be i(7). Find q such that 21*q - 86*q + 18*q + d*q**2 + 32*q + 10 = 0.
1, 2
Let i(f) be the third derivative of 1/900*f**6 + 14/15*f**4 + 153*f**2 + 3/50*f**5 - 196/45*f**3 + 0 + 0*f. Factor i(c).
2*(c - 1)*(c + 14)**2/15
Let s(j) be the second derivative of j**5/210 + 59*j**4/42 + 3481*j**3/21 + 126*j**2 - 4*j - 43. Let k(r) be the first derivative of s(r). Factor k(q).
2*(q + 59)**2/7
Let x be (1/(-26))/((-4)/(-2))*-2. Let y(o) be the first derivative of 0*o + 4/39*o**3 + 1/13*o**2 + x*o**4 + 5. Determine j so that y(j) = 0.
-1, 0
Suppose 144*x = 145*x + 4*f - 12, -2*f = -x - 6. Let j(n) be the second derivative of -1/33*n**3 + 0*n**2 - 9/220*n**5 + x - 1/12*n**4 + 4*n. Factor j(k).
-k*(k + 1)*(9*k + 2)/11
Let q(a) be the second