**2 + 39702 + 5*x**3 + 0*x. Let g(w) = 4*w**3 + 20*w**2 + 2*w + 2. Let b(h) = -4*d(h) + 6*g(h). Factor b(z).
4*z**2*(z + 8)
Suppose 44 = b + 41. Factor -14*v - b*v**4 - 6*v**3 + 15 - 8*v + 36*v**2 - 20*v.
-3*(v - 1)**3*(v + 5)
Factor -1/3*x**2 + 235/3*x + 0.
-x*(x - 235)/3
Let r(h) be the third derivative of -h**8/2184 + 4*h**7/455 - 2*h**6/195 - 23*h**5/65 + 51*h**4/52 + 90*h**3/13 - 119*h**2 - 1. Find k, given that r(k) = 0.
-3, -1, 3, 10
Let f(l) be the first derivative of -l**3/3 + 7*l**2/2 - 8*l - 172. Let a(h) = 2*h**2 - 15*h + 17. Let i(g) = -2*a(g) - 5*f(g). Factor i(t).
(t - 3)*(t - 2)
Let u(s) be the second derivative of 85/12*s**4 + 0 + 0*s**2 + 1/2*s**6 - 64*s - 7/2*s**5 - 5*s**3. Determine c, given that u(c) = 0.
0, 2/3, 1, 3
Let g(a) be the first derivative of -16/15*a**3 + 1/10*a**4 - 19 - 19/5*a**2 - 4*a. Factor g(d).
2*(d - 10)*(d + 1)**2/5
Let v(f) = -f**2 - 11*f - 6. Let a be v(-9). Let u(g) = g**3 - 3*g - 3. Let m be u(3). Let 9*s**2 - 9*s + m*s**3 + 15*s - a*s = 0. What is s?
-1, 0, 2/5
Let i be (-2162)/(-141)*144/1104. Factor -1/2*m**4 - 3 - 17/2*m - 17/2*m**i - 7/2*m**3.
-(m + 1)**2*(m + 2)*(m + 3)/2
Let j = 46 - 49. Let c be 2/1 + 5 + j. Solve -2*r**c + 24*r + 9 - r**4 - 163*r**2 + 181*r**2 = 0.
-1, 3
Let j(k) be the first derivative of -10*k**6/27 - 332*k**5/45 + 73*k**4/3 - 676*k**3/27 + 76*k**2/9 - 610. Solve j(v) = 0.
-19, 0, 2/5, 1
Suppose -15 = -3*o, 4*b + 5*o + 18 - 147 = 0. Suppose -53*k = -40*k - b. Factor -22/3*m + 2*m**k + 4.
2*(m - 3)*(3*m - 2)/3
Let i(j) = -380*j + 3060. Let y be i(8). Let q(a) be the first derivative of -4/7*a**2 + y - 5/21*a**3 - 1/28*a**4 - 4/7*a. Suppose q(l) = 0. Calculate l.
-2, -1
Let a be 2/((-126)/27)*30/(-45). Solve 2*d**3 - 12/7*d - a*d**5 + 0 + 2/7*d**2 - 2/7*d**4 = 0 for d.
-3, -1, 0, 1, 2
Let j = -827 + 829. Solve 9*z**2 - 18*z - 8*z**j - 9*z + 10*z = 0 for z.
0, 17
Suppose 21 = r + 1. Suppose -2*w - 4*q + 12 = 0, -4*w + 3*w = -q. Factor -15 + 4 - w*s**3 - 1 - 16*s - r + 14*s**2.
-2*(s - 4)**2*(s + 1)
Suppose 0 = 3*w - 3*j - 9507, 9*j = 12*j - 12. Factor -f**3 + 10*f - w - 17*f**2 + 3109 - 90*f.
-(f + 1)*(f + 8)**2
Let j be (-14)/(-22)*((-1092)/(-49))/13. Let d = j + 28/55. Solve d + 2/5*i**4 - 6/5*i + 6/5*i**3 - 2*i**2 = 0.
-4, -1, 1
Let w(q) be the third derivative of 0*q**4 + 0*q + 0*q**3 - 7/90*q**5 + 0 - 2/45*q**6 + 91*q**2 - 1/315*q**7. Find g, given that w(g) = 0.
-7, -1, 0
Let z(o) be the second derivative of -o**4/48 - 9*o**3/8 + 29*o**2/4 + 1857*o. Factor z(b).
-(b - 2)*(b + 29)/4
Let j(z) be the third derivative of -z**9/12096 + z**7/3360 - 77*z**3/6 + 7*z**2 + 1. Let u(o) be the first derivative of j(o). Factor u(k).
-k**3*(k - 1)*(k + 1)/4
Let t(i) = -24*i**2 - 417*i + 126. Let v(b) = -46*b**2 - 836*b + 252. Let n(j) = -7*t(j) + 3*v(j). Factor n(a).
3*(a + 14)*(10*a - 3)
Let t = 630901 - 2523601/4. What is j in t*j**2 + 5/4 + 9/4*j - 1/4*j**3 = 0?
-1, 5
Let j(c) = -c**2 - 5*c - 4. Let k be ((-4)/(-2) - 1)/(13/(-39)). Let w(h) = -h**2 - 4*h - 3. Let v(i) = k*j(i) + 2*w(i). Factor v(q).
(q + 1)*(q + 6)
Let y(m) be the first derivative of 69/2*m**2 + 21/4*m**4 - 40*m**3 + 83 + 30*m. Factor y(p).
3*(p - 5)*(p - 1)*(7*p + 2)
Let i(w) be the second derivative of -w**7/84 + 17*w**6/36 - 94*w**5/15 + 57*w**4/2 - 24*w**3 - 144*w**2 + 816*w. Determine c so that i(c) = 0.
-2/3, 2, 3, 12
Let b(y) be the first derivative of 108 + 29*y**3 + 336*y**2 + 3/4*y**4 + 588*y. Suppose b(r) = 0. Calculate r.
-14, -1
Let f(z) = -z**2 - 1073*z - 18987. Let v be f(-18). Suppose -7/6*r**4 - 8/3*r + 8/3*r**v + 1/2*r**2 + 2/3 = 0. Calculate r.
-1, 2/7, 1, 2
Let v(h) be the second derivative of h**7/210 - 2*h**6/75 - 157*h**5/100 - 143*h**4/15 + 26*h**3/5 + 288*h**2/5 + 398*h + 3. Suppose v(b) = 0. What is b?
-6, -1, 1, 16
Factor 69*i - 200*i - 4*i**3 + 226 - 28 + 125*i**2 - 692*i.
-(i - 22)*(i - 9)*(4*i - 1)
Suppose -5*i = -2*t - 0*i - 5, t + 3*i = 3. Let r be (-86)/172*(0 - t). Find f such that -6/11*f**4 + 0*f - 34/11*f**3 + r - 20/11*f**2 = 0.
-5, -2/3, 0
Let b be (-212)/(-40) - 9/(-90)*1. Suppose b*g + 0 + 3/5*g**2 = 0. What is g?
-9, 0
Let d(p) be the third derivative of p**8/112 + 15*p**7/14 - 197*p**6/20 + 24*p**5 - 3439*p**2. Let d(v) = 0. Calculate v.
-80, 0, 2, 3
Solve 3640/11*g + 6/11*g**3 - 5408/11 + 304/11*g**2 = 0.
-26, 4/3
Let i(y) be the first derivative of y**4/54 - 22*y**3/27 - 23*y**2/9 - 96*y + 95. Let a(m) be the first derivative of i(m). Let a(b) = 0. What is b?
-1, 23
Suppose 4*l - 4*p + 12 = 0, -17*l + 4 = -20*l + 2*p. Let 15*m - 52*m**3 + 171*m**l - 32 - 191*m + 29*m**2 = 0. What is m?
-2/13, 2
Let z be (2*(-30)/20)/3. Let j be 1 + (z - -1) - (-252)/108. Solve -5/6*k**3 + j - 20/3*k + 25/6*k**2 = 0.
1, 2
Let o(s) = -34328126*s**3 - 1267503*s**2 - 15600*s - 65. Let g(l) = l**3 + 3*l**2 + 1. Let d(i) = -g(i) - o(i). Solve d(r) = 0 for r.
-4/325
Let h(a) be the second derivative of a**4/4 - 13*a**3/2 - 507*a**2 + 7036*a. Factor h(d).
3*(d - 26)*(d + 13)
Let m be (-236)/(-18) + (298 - 311). Let t(n) be the first derivative of -5/3*n**2 - 15 - m*n**3 - 25/3*n. Determine u, given that t(u) = 0.
-5
Suppose 0 = -50*l - 140*l. Let o(c) be the second derivative of 12*c**2 - c + 14/3*c**3 + 1/3*c**4 + l. Factor o(h).
4*(h + 1)*(h + 6)
Let s(u) be the third derivative of -u**5/12 + 545*u**4/4 - 178215*u**3/2 + 7*u**2 + 50. What is a in s(a) = 0?
327
Let c be (-660)/(-20) + -49 + 19. Factor -1/3*m**c - 8/3*m**2 + 0 + 3*m.
-m*(m - 1)*(m + 9)/3
Let q = -965853 - -3863577/4. What is m in 4374 + 3/4*m**4 + 5103*m + 1539/2*m**2 + q*m**3 = 0?
-18, -1
Suppose 81/2*i + 3/4*i**4 - 12*i**2 + 189/4 - 9/2*i**3 = 0. What is i?
-3, -1, 3, 7
Let o = -5165 - -5170. Determine n, given that 0 + 2/5*n + n**4 + 7/5*n**2 + 9/5*n**3 + 1/5*n**o = 0.
-2, -1, 0
Let p(h) be the third derivative of -h**8/336 + 172*h**7/105 - 4873*h**6/20 - 14878*h**5/15 - 29929*h**4/24 - 55*h**2 - 12*h. Let p(l) = 0. What is l?
-1, 0, 173
Let s be 6 - 178/(-5)*(-10)/56. Let q = s + 87/28. Let q*b**2 + 3/8 + 13/8*b + 1/8*b**5 + 9/4*b**3 + 7/8*b**4 = 0. What is b?
-3, -1
Let z = 1681369/35 - 48028. Let v = z - 47/5. Let 12/7 + 12/7*d - 9/7*d**2 - v*d**3 - 3/7*d**4 = 0. What is d?
-2, -1, 1
Let f(o) be the first derivative of 2/15*o**3 + 8*o**2 + 65 + 160*o. Factor f(k).
2*(k + 20)**2/5
Suppose 368*y - 440*y**3 - 286 - 72*y**2 + 2*y**4 - 121 + 428*y**3 + 23 = 0. Calculate y.
-6, 2, 8
Factor 1/8*p**2 + 16 + 129/8*p.
(p + 1)*(p + 128)/8
Let g(w) = -w**2 - 11*w + 20. Let l(v) be the third derivative of 3*v**4/8 - 7*v**3/2 + 32*v**2. Let k(h) = 3*g(h) + 2*l(h). Solve k(m) = 0.
-6, 1
Let n(d) = 2*d**3 - 19*d**2 - 10*d + 3. Let u = -178 - -188. Let g be n(u). What is l in -3/4*l**2 + g - 9/4*l = 0?
-4, 1
Let q = -8/3085 - -3261/67870. Let c(n) be the third derivative of -q*n**3 - 1/132*n**4 + 0*n + 0 + 1/660*n**5 - 14*n**2. Solve c(v) = 0 for v.
-1, 3
Suppose -5*w = -r - 8 - 3, -w - 2*r = 0. Determine u so that 117*u**3 + 375/4*u - 63/4 + 6*u**4 - 369/2*u**w = 0.
-21, 1/2
Let g(m) be the second derivative of -5*m**7/56 + 5*m**6/24 + 17*m**5/8 - 5*m**4/4 - 35*m**3/3 + 20*m**2 + 115*m - 37. Solve g(o) = 0.
-2, 2/3, 1, 4
Let m(k) be the third derivative of 121*k**5/6 + 55*k**4/4 + 15*k**3/4 - 59*k**2 + k. What is f in m(f) = 0?
-3/22
Suppose -1/4*i**3 - 39/4*i - 45/4 - 11/4*i**2 = 0. What is i?
-5, -3
Suppose -16 = 2*h - 4*s, -4*h = -4*s - s + 17. Let -3*p - 366*p**h + p**3 + 2 + 366*p**2 = 0. What is p?
-2, 1
Suppose 2*n = 8*h - 4, -6 = 23*h - 18*h + 3*n. Determine l so that 0*l - 8/5*l**2 - 1/5*l**4 + h + 1/5*l**5 - 2*l**3 = 0.
-2, -1, 0, 4
Let h = 12 - -10. Suppose -5*c + h + 3 = 0. Determine p so that 62*p**2 - 65*p**2 + p - 2*p**3 + c*p**3 - p**4 = 0.
0, 1
Let s = 2372982/7 + -338126. Let w = 874 - s. Factor -w*t**3 - 2/7*t + 10/7*t**2 - 4/7*t**5 + 2*t**4 + 0.
-2*t*(t - 1)**3*(2*t - 1)/7
Find s such that -5882*s**2 - 21960*s - 368/3*s**3 - 16200 - 2/3*s**4 = 0.
-90, -3, -1
Suppose -52 = -4*l, -76*l + 78*l = h + 24. Let -96/11*m**3 + 0 - 256/11*m + 256/11*m**h + 16/11*m**4 - 1/11*m**5 = 0. What is m?
0, 4
Let b(g) be the first derivative of -g**4/42 - 1004*g**3/63 - 1996*g**2/21 - 1328*g/7 + 1812. Factor b(i).
-2*(i + 2)**2*(i + 498)/21
Let w = 420 - 246. Let j be (w/24 - 5)*(-4)/(-6). Determine h, given that 1/4*h**2 - j*h + 