) = c**2 + c + 1. Let d = -18 + 28. Suppose 6*j - d = -4*j. Let m(g) = j*x(g) - 3*w(g). Factor m(i).
-i**2
Find h such that 30 - 231/2*h + 3*h**3 - 75/4*h**2 = 0.
-4, 1/4, 10
Let n = -273257 + 1093029/4. Determine r, given that 0 + 0*r - r**4 + 0*r**2 + n*r**5 + 3/4*r**3 = 0.
0, 1, 3
Let b(s) be the first derivative of -63/8*s**2 + 6*s**3 + 28 + 15/4*s - 3/4*s**4. Factor b(x).
-3*(x - 5)*(2*x - 1)**2/4
Let w(o) be the second derivative of -2/3*o**3 + 0*o**2 + 5/12*o**4 + 2*o + 2/3*o**6 + 1/12*o**7 + 51/40*o**5 - 31. Suppose w(r) = 0. Calculate r.
-4, -1, 0, 2/7
Let r = 209/20 + -1751/140. Let f = r + 20/7. Solve f*s**2 - 4/5 - 4/5*s**3 + 4/5*s = 0 for s.
-1, 1
Let f(t) be the second derivative of -t**5/150 - t**4/5 - 7*t**2 + t - 1. Let v(u) be the first derivative of f(u). Factor v(r).
-2*r*(r + 12)/5
Let v(b) be the first derivative of -4761*b**4/28 - 138*b**3/7 - 6*b**2/7 - 49*b + 23. Let f(t) be the first derivative of v(t). Factor f(o).
-3*(69*o + 2)**2/7
Let x be (0 - (10 - 13))*(-14)/(-231). Find h, given that -x*h**2 + 0*h + 2/11 = 0.
-1, 1
Let x be (0 - 5) + (46 - -4). Factor -24*d**4 + 15*d**4 - 30*d + 3*d + 12*d**4 - 21*d**3 + x*d**2.
3*d*(d - 3)**2*(d - 1)
Let p(l) be the third derivative of l**6/80 - 7*l**5/5 - 115*l**4/16 - 29*l**3/2 + 1214*l**2. Factor p(s).
3*(s - 58)*(s + 1)**2/2
Let y be ((-2132)/5)/41 + 12. Factor y*t + 2*t**3 - 16/5*t**2 + 0 - 2/5*t**4.
-2*t*(t - 2)**2*(t - 1)/5
Let s(f) = 140*f**3 + 2*f**2 - 2*f - 2. Let a be s(-1). Let k be a/(-161)*(-2)/(-4). Determine m so that k*m**2 - 6/7 + 3/7*m = 0.
-2, 1
Suppose 28 = -7*t + 84. Factor 4*h**3 + 4*h**3 + 20*h**2 - h + 9*h + 4*h**4 + t*h**3.
4*h*(h + 1)**2*(h + 2)
Let p = -37104 + 1558471/42. Let z = -25/14 + p. Factor z*d**2 - 2/9*d**3 + 2/9*d - 2/3.
-2*(d - 3)*(d - 1)*(d + 1)/9
Determine q so that -19338*q**2 - 429 + 75*q**5 - 15903*q**3 - 165 - 181 - 8868*q - 3990*q**4 + 69 - 662 = 0.
-2, -1, -2/5, 57
Let g(z) be the first derivative of 15*z**2 + 5/3*z**3 - 35*z - 77. Solve g(y) = 0 for y.
-7, 1
Let r(p) be the first derivative of -68 - 44*p**2 + 2/9*p**3 + 2904*p. Factor r(y).
2*(y - 66)**2/3
Find x such that -288*x**2 + 96*x**2 + 23314 - 230339 + 94*x**2 + 910*x + 97*x**2 = 0.
455
Let m(p) be the first derivative of -1/27*p**3 + 1/18*p**2 + 0*p + 126. Determine l, given that m(l) = 0.
0, 1
Let v(u) be the second derivative of u**7/63 + 2*u**6/45 - 16*u**5/15 - 16*u**4/3 - 2*u - 852. Factor v(j).
2*j**2*(j - 6)*(j + 4)**2/3
Let w = -66822 - -66825. What is x in 784/15 - 164/15*x**2 - 2/5*x**w - 1064/15*x = 0?
-14, 2/3
Let k(f) = -11*f**2 - 21*f + 21 + 11 + 8*f**2 + 10*f**2. Let p = -7 + 12. Let j(q) = -3*q**2 + 10*q - 16. Let u(c) = p*j(c) + 2*k(c). Factor u(z).
-(z - 4)**2
Let a(t) = -t**2 - 4*t + 7. Let v be a(-5). Solve 2*o**5 - 56*o + 2*o**v + 31*o**2 - 94*o**2 + 62*o**3 - 20*o**4 + 9*o**2 + 80 = 0 for o.
-1, 2, 5
Let i = -26513 + 26519. Let x(h) be the second derivative of 0*h**5 + 32*h + 5/21*h**7 - 5/12*h**4 + 1/2*h**i + 0*h**2 + 0*h**3 + 0. Factor x(j).
5*j**2*(j + 1)**2*(2*j - 1)
Let a(y) be the third derivative of 20/3*y**3 + 251*y**2 + 13/2*y**5 - 245/24*y**4 - 3/8*y**6 + 0*y + 0. Suppose a(n) = 0. Calculate n.
1/3, 8
Find d, given that -23/5*d**2 - 7*d + 11/5*d**3 + 0 - 1/5*d**4 = 0.
-1, 0, 5, 7
Let t(v) be the third derivative of -v**7/525 + 3*v**6 + 601*v**5/50 + 451*v**4/30 - 29*v**2 + 20*v - 4. Solve t(x) = 0.
-1, 0, 902
Let u(v) be the second derivative of 5/12*v**4 - 30*v + 7*v**2 - 37/6*v**3 + 0. Factor u(q).
(q - 7)*(5*q - 2)
Suppose z + 13 = -5*v, 0*v - 2*v = -2*z + 10. Let 724 + s**z - 11*s**2 - 45*s - 744 = 0. What is s?
-4, -1/2
Let v(w) = 15*w**4 - 102*w**3 + 701*w**2 - 392*w - 4350. Let l(h) = -2*h**4 + h**3 + h. Let o(g) = -21*l(g) - 3*v(g). Find c, given that o(c) = 0.
-2, 5, 87
Let c(h) be the third derivative of -2*h**5/25 + 363*h**4/40 - 27*h**3/2 - 2*h**2 - 2*h + 627. Factor c(s).
-3*(s - 45)*(8*s - 3)/5
Let q(v) be the second derivative of 1/30*v**4 + 2/15*v**3 + 54*v - 4/5*v**2 + 0 - 1/100*v**5. Determine u so that q(u) = 0.
-2, 2
Let r be (188/(-56) - (-10)/(-70))*2/(-28)*8. Factor -2/11*t + 3/11 - 4/11*t**r + 2/11*t**3 + 1/11*t**4.
(t - 1)**2*(t + 1)*(t + 3)/11
Let i be (138/126 - 20/210)*(-68)/(-170). Let m be (-4)/6*18/(-20). Factor m*p + 1/5*p**2 + i.
(p + 1)*(p + 2)/5
Let b(n) be the third derivative of n**7/35 + 3*n**6/16 - 2*n**5/5 - 69*n**4/16 + 9*n**3/2 - n**2 - 924. Let b(h) = 0. What is h?
-3, 1/4, 2
Let m(q) be the second derivative of q**4/78 + 798*q**3/13 + 1432809*q**2/13 - 20*q + 95. Find h such that m(h) = 0.
-1197
Let y be (4 - (0 - -2)) + 2. Let d(a) = 2809*a + 8430. Let t be d(-3). Determine i, given that -7/3*i**t + 9*i + 3*i**2 - 18 + 1/3*i**y = 0.
-2, 3
Let p = 81 - 78. Suppose -9*d**3 - 3*d**4 + 5*d**4 - d**p + 4*d**4 - d**4 = 0. Calculate d.
0, 2
Factor 94*u - 485*u**2 - 166*u**3 + 22*u - 99*u**2 + 186*u**3.
4*u*(u - 29)*(5*u - 1)
Let i(u) be the third derivative of -u**5/60 + u**4/4 - 5*u**3/6 - 2*u**2 + 13. Let d(g) = -2*g**2 + 12*g - 10. Let m(c) = -6*d(c) + 10*i(c). Factor m(s).
2*(s - 5)*(s - 1)
Let g(j) be the second derivative of -5*j**7/126 - 235*j**6/18 - 6725*j**5/6 + 104425*j**4/18 - 211225*j**3/18 + 70805*j**2/6 + 2*j + 27. Factor g(f).
-5*(f - 1)**3*(f + 119)**2/3
Let u(n) be the second derivative of n**6/45 - 13*n**5/30 + 19*n**4/6 - 95*n**3/9 + 50*n**2/3 + 2964*n. Suppose u(q) = 0. What is q?
1, 2, 5
Suppose 2*r + 3*z = 3*r + 6, -5*z = -r - 12. Determine x so that -8*x**r - 15*x**2 + 9*x**5 + 5*x**3 + 60*x**4 - 45*x**4 - 6*x = 0.
-1, -2/3, 0, 1
Let s = 5/6577 - -32870/19731. Factor -s*z**2 - 103/3*z + 14.
-(z + 21)*(5*z - 2)/3
Let n = 36/11 + -559/154. Let v = 127/42 + n. Factor -2/3*w**2 + v - 2*w.
-2*(w - 1)*(w + 4)/3
Let f(l) = -2*l**3 - 22*l**2 - 5*l + 46. Let z be f(-11). Determine x, given that -130 + z*x + 140*x - 166*x - 5*x**2 = 0.
2, 13
Let n = -395 - -397. Let 2578*u**2 + 4574*u**3 - 875*u**3 + 96 + 188*u**n + 864*u + 1701*u**4 = 0. Calculate u.
-1, -4/9, -2/7
Let q(m) be the first derivative of 0*m**3 + 2/21*m**7 + 6 + 0*m**4 + 0*m**2 - 4/15*m**6 + 0*m**5 - m. Let r(o) be the first derivative of q(o). Factor r(w).
4*w**4*(w - 2)
Find l such that 2/5*l**2 + 764/5*l + 762/5 = 0.
-381, -1
Let y(z) be the first derivative of -3*z**4/10 + 16*z**3/5 + 459*z**2/5 - 492. Solve y(h) = 0 for h.
-9, 0, 17
Suppose -4*k + 1164 = 1148. Let q(f) be the first derivative of 1/2*f**k + 6*f + 10/3*f**3 + 7*f**2 + 9. Factor q(p).
2*(p + 1)**2*(p + 3)
Let b(h) be the second derivative of 0*h**3 - 4*h**4 + 0*h**2 + 6/5*h**5 - 1/10*h**6 - 14 - 6*h. Factor b(a).
-3*a**2*(a - 4)**2
Let i = -197 - -592/3. Let d be ((-10)/24)/((-2 - 4)/24). Factor -4/3*w**2 - d*w - i*w**3 - 2/3.
-(w + 1)**2*(w + 2)/3
Let g(l) be the second derivative of -18 + 2*l - 1/30*l**5 - 17/9*l**3 - 4/9*l**4 - 10/3*l**2. Suppose g(a) = 0. Calculate a.
-5, -2, -1
Let h(u) = -7*u + 4. Let f be h(0). Solve -12*z**3 - 4*z**4 + f*z**2 + 3*z**2 + 8 + 12*z + 0*z**2 - 11*z**2 = 0.
-2, -1, 1
Factor -77*o**3 + 753*o**2 + 4252*o + 70*o**3 - 2885*o**2 + 11*o**3 - 2124.
4*(o - 531)*(o - 1)**2
Let b(f) = 3*f**2 - 993*f + 1968. Let u(c) = -35*c**2 + 11915*c - 23615. Let t(s) = -25*b(s) - 2*u(s). Factor t(w).
-5*(w - 197)*(w - 2)
Let b(d) be the third derivative of d**9/7560 - d**8/840 + d**7/315 + 83*d**4/24 + 50*d**2. Let u(y) be the second derivative of b(y). Factor u(x).
2*x**2*(x - 2)**2
Let n(h) be the first derivative of -69/20*h**5 + 81/16*h**4 + 0*h**2 - 4/3*h**3 + 0*h + 1/6*h**6 - 99. Solve n(d) = 0 for d.
0, 1/4, 1, 16
Suppose 323*z - 1322 = -487*z + 1108. Determine j so that 42/5*j**2 + 12/5 + 2/5*j**4 + 38/5*j + 18/5*j**z = 0.
-6, -1
Let v(p) be the first derivative of p**5 - 75*p**4/4 - 455*p**3 + 2935*p**2/2 - 1500*p - 3904. Suppose v(i) = 0. What is i?
-12, 1, 25
Let t = -98 + 54. Let s = t + 65. Let 20*d**2 + 44*d - 2 - s*d**2 - 47*d = 0. Calculate d.
-2, -1
Let l(w) be the second derivative of -w**4/12 + 34*w**3 - 203*w**2/2 + 1333*w. Factor l(k).
-(k - 203)*(k - 1)
Let a(t) be the first derivative of 5*t**4/4 + 26*t**3/3 - t**2/2 - 30*t - 3664. Determine k, given that a(k) = 0.
-5, -6/5, 1
Let w = 1893687/7 + -270525. Let 8/7*z**2 - w - 2/7*z - 2/7*z**3 = 0. Calculate z.
-1, 2, 3
Let c = 53234/217 - 7596/31. Determine s, giv