ve of 1/6*b**3 - 20 - 11*b + 21/4*b**2. Find g, given that v(g) = 0.
-22, 1
Solve -76/9*f**2 - 278/3*f**3 + 728/9*f**4 + 232/9*f - 98/9*f**5 + 16/3 = 0.
-2/7, 1, 6
Let c(s) be the first derivative of -5*s**4 + 0*s - 4/5*s**5 + 35 - 28/3*s**3 - 6*s**2. Factor c(h).
-4*h*(h + 1)**2*(h + 3)
Let i(j) be the third derivative of 0*j**6 + 0*j**3 + 0*j**4 - 36*j**2 + 0*j - 1/112*j**8 + 0 - 1/5*j**5 + 3/70*j**7. Find n such that i(n) = 0.
-1, 0, 2
Let k(p) = -p**3. Suppose 46 + 35 = -4*r - 3*g, 39 = -2*r - g. Let w(i) = 7*i**3 + 58*i**2 - 390*i - 450. Let u(q) = r*k(q) - 2*w(q). Factor u(a).
4*(a - 15)**2*(a + 1)
Let u(n) be the first derivative of 0*n - 2/3*n**3 + 14 + 4*n**2. Suppose u(j) = 0. Calculate j.
0, 4
Let x(r) be the third derivative of -5*r**6/48 + 73*r**5/80 + 3*r**4/8 + 35*r**3/6 + 48*r**2. Let d(z) be the first derivative of x(z). Factor d(u).
-3*(u - 3)*(25*u + 2)/2
Factor -12*w**2 - 18*w**4 + 44*w**5 - w - 27*w**3 + w - 79*w**5 + 32*w**5.
-3*w**2*(w + 1)**2*(w + 4)
Let b(h) be the third derivative of h**6/160 - 149*h**5/80 + 369*h**4/2 - 3240*h**3 - 487*h**2. Let b(o) = 0. What is o?
5, 72
Let y be (-5)/((-30)/212)*(-180)/(-100). Let c = 958/15 - y. Solve -c*w + 0 + 2/15*w**3 - 2/15*w**2 = 0 for w.
-1, 0, 2
Determine p so that -11*p - 198*p - 51*p - 221*p + 100*p + 3*p**2 = 0.
0, 127
Let f = -272/7 + 16369/420. Let x(c) be the second derivative of -f*c**5 + 2*c + 1/3*c**2 + 7/18*c**3 + 0 - 1/18*c**4. Let x(m) = 0. Calculate m.
-1, -2/7, 1
Let m = 835142/5 - 167028. Determine b so that -8*b + m*b**2 + 40 = 0.
10
Let f(g) be the third derivative of g**6/280 + 54*g**5/35 + 1458*g**4/7 - 978*g**2. Factor f(c).
3*c*(c + 108)**2/7
Suppose -2*r + 18 = 5*d, -r - 1122 = -1131. Factor d - 28/15*p**2 + 2/15*p**3 + 98/15*p.
2*p*(p - 7)**2/15
Let r(x) = -33*x + 41. Let q be r(-4). Find p, given that -68*p**2 + 1285 + 70*p**2 + q - 108*p = 0.
27
Let u(o) be the third derivative of o**7/735 - o**6/60 + 8*o**5/105 - o**4/7 + 4*o**2 + 600. Suppose u(l) = 0. What is l?
0, 2, 3
Let c = -54 + 60. Let o(r) = r - 2. Let d be o(c). Factor 22*u + 4*u**4 - 6*u - 4*u**4 - 12*u**3 - d*u**4.
-4*u*(u - 1)*(u + 2)**2
Let j(a) be the first derivative of -a**6/2 - 81*a**5/5 - 132*a**4 - 6606. Factor j(x).
-3*x**3*(x + 11)*(x + 16)
Solve -23456*j**2 + 7436404397 + 766*j**3 - 24983209*j - 22596206*j - 771*j**3 - 3259*j**2 - 35682717102 = 0 for j.
-1781
Suppose 2*p - 1146 - 106 = -2*h, 5*h + 4*p - 3126 = 0. Solve 13*s**2 - 176*s - 54*s + 706 - 5*s**2 + 8*s**2 - h = 0.
3/8, 14
Factor 0 - 1030/3*p - 5/6*p**3 + 2065/6*p**2.
-5*p*(p - 412)*(p - 1)/6
Factor -554*h + 1475*h - 3883 - 4*h**2 + 1283 + 387*h.
-4*(h - 325)*(h - 2)
Factor 13 - 844*d**2 - 9 + 852*d**2 + 6 - 19*d + d**3.
(d - 1)**2*(d + 10)
Determine l, given that 111/2*l**4 - 108*l**2 - 3/2*l**5 + 0 + 0*l - 51*l**3 = 0.
-1, 0, 2, 36
Suppose -8*v - u = -4*v - 11, 17 = v + 5*u. Let j be (-2)/(-11) - (-86)/11. Find c, given that -3*c + 9*c**2 - v*c**2 - j*c**2 = 0.
-3, 0
Let m(y) = 20*y**3 - 500*y**2 + 812*y + 1332. Let s(b) = 3*b**3 - 77*b**2 + 125*b + 205. Suppose 6*a - 2 + 32 = 0. Let o(w) = a*m(w) + 32*s(w). Factor o(r).
-4*(r - 5)**2*(r + 1)
Suppose -7*u = -3*u + 4. Let h(f) = -4*f**4 + f**3 + 21*f**2 - 2*f + 4. Let i(g) = g**3 - g**2 + g + 1. Let o(v) = u*h(v) + 4*i(v). Factor o(t).
t*(t - 2)*(t + 3)*(4*t - 1)
Let h = 35 + 12. Let b = -47 + h. What is w in -20*w - 60*w**2 + b*w**3 - 19*w**3 + 25*w**4 + 4*w**3 = 0?
-1, -2/5, 0, 2
Let c(b) = -10*b**2 + 55. Suppose -26*z + 27*z = -18. Let u be 10/(-75)*-10*z/(-4). Let d(s) = 11*s**2 - s - 54. Let g(y) = u*c(y) + 5*d(y). Solve g(m) = 0.
-4, 3
Let a(h) be the second derivative of h**6/40 - 3*h**5/20 - 9*h**4/4 - 71*h**2/2 - 2*h - 23. Let j(y) be the first derivative of a(y). Factor j(n).
3*n*(n - 6)*(n + 3)
Let k = -409615/8 - -51202. Determine i so that -k*i**2 - 3/8*i + 0 = 0.
-3, 0
Let x(o) be the third derivative of o**6/300 - 16*o**5/75 + 167*o**4/60 + 40*o**3/3 + 1753*o**2. Factor x(g).
2*(g - 25)*(g - 8)*(g + 1)/5
Let f(w) be the first derivative of -16/3*w**3 - 3 + 24*w**2 - 10*w - 1/3*w**4 + 1/5*w**5. Let h(j) be the first derivative of f(j). Solve h(k) = 0.
-3, 2
Let l be 19 - 21 - 20*-3. Let m = l - 56. Factor -5 + 24*h + m*h**4 - 6*h**3 - h**4 + 2 + h**2 + 19.
(h - 4)**2*(h + 1)**2
Suppose -208 = -3*a + 233. Let -22*g**2 + a*g**2 - 30*g - 624 + 624 + 45*g**3 = 0. What is g?
-3, 0, 2/9
Let j(s) = 3*s**4 + 3*s**3 - 25*s**2 + 11*s - 4. Let k(n) = -5*n**4 - 5*n**3 + 50*n**2 - 20*n + 10. Let b(l) = -5*j(l) - 2*k(l). Factor b(v).
-5*v*(v - 1)**2*(v + 3)
Let d(m) = -m**2 - 7*m - 13. Let p(w) = -27 + 154*w**2 - 304*w**2 + 148*w**2 - 15*w. Let z(g) = -5*d(g) + 3*p(g). Factor z(c).
-(c + 2)*(c + 8)
Let s = -3/619 - -4342/1857. Let i be (-6)/57 - 295/(-95). Solve s*a**2 + 0 + 7/3*a**5 + 11*a**4 + 13*a**i - 2*a = 0.
-3, -1, 0, 2/7
Let g(n) be the second derivative of n**6/30 + 42*n**5/5 + 1203*n**4/2 + 6640*n**3/3 - 20667*n**2/2 - 370*n + 2. What is x in g(x) = 0?
-83, -3, 1
Let b(x) be the second derivative of x**7/56 + 13*x**6/40 - 111*x**5/80 - 109*x**4/16 - 15*x**3/2 - 355*x. Solve b(o) = 0 for o.
-15, -1, 0, 4
Let h(z) be the second derivative of 5/6*z**4 - 1/15*z**6 + 0 + 3*z**2 - 21*z + 4/3*z**3 + 1/15*z**5. Let s(p) be the first derivative of h(p). Factor s(w).
-4*(w - 2)*(w + 1)*(2*w + 1)
Let u(t) be the first derivative of -4/5*t**5 - 8*t**3 + 0*t**2 - 5*t**4 + 0*t - 76. Factor u(d).
-4*d**2*(d + 2)*(d + 3)
Let c(n) be the first derivative of -n**6/18 + 14*n**5/5 - 43*n**4/4 - 6220*n**3/9 - 5256*n**2 - 15552*n - 521. Factor c(g).
-(g - 27)**2*(g + 4)**3/3
Let y(c) be the second derivative of 3*c**4/2 - 698*c**3/3 + 121801*c**2/9 + 6609*c. Factor y(r).
2*(9*r - 349)**2/9
Suppose 0 = 2*r - 3*t + 2211, -4*t + 5545 = -29*r + 24*r. Let g = -1111 - r. Determine y so that -18/7*y**4 + 96/7*y**3 - 12*y - 16/7 - 74/7*y**g = 0.
-1/3, 2, 4
Let o(n) be the second derivative of n**4/18 + 113*n**3/3 + 338*n**2/3 + 2097*n. Factor o(l).
2*(l + 1)*(l + 338)/3
Let g(x) = -437*x + 7884. Let b be g(18). Factor -30 - 3/2*u**2 - b*u.
-3*(u + 2)*(u + 10)/2
Suppose 3*g - 4*r - 9 = 61, g - 5*r = 38. Suppose -6*d + g*d = 1932. Factor 0*o**2 + 5*o**2 - 196*o + d*o.
5*o*(o - 7)
Let i(d) be the third derivative of -80*d**8/7 - 2384*d**7/35 + 1467*d**6/40 + 119*d**5/10 + d**4 - 6668*d**2. Solve i(j) = 0.
-4, -1/16, 0, 2/5
Let t be ((64/(-12))/(-4))/((-4)/(-6)). Suppose -5*n - n = 2*n. Solve n*r**5 + r**t - 16*r**3 + 6*r - 130*r**4 - 2*r**5 + 141*r**4 = 0.
-1/2, 0, 1, 2, 3
Let o(y) = -y**2 - 17*y + 20. Let q be o(-18). Find k, given that -23*k**3 + 4190 - k**4 - 252*k + 5*k**3 - 125*k**2 + 16*k**q - 4386 = 0.
-7, -2
Let o(z) = -12*z**3 + 2*z**2 + 12*z - 7. Let d(j) = -10*j**3 + 4*j**2 + 10*j - 8. Let w(s) = -5*d(s) + 4*o(s). Factor w(y).
2*(y - 6)*(y - 1)*(y + 1)
Let w(i) be the second derivative of -9*i**5/5 - 65*i**4/3 - 244*i**3/3 - 48*i**2 + 485*i. Let w(r) = 0. What is r?
-4, -3, -2/9
Solve 10/3*i**4 + 16*i - 10/3*i**2 - 50/3*i**3 + 2/3*i**5 + 0 = 0.
-8, -1, 0, 1, 3
Let f(m) be the second derivative of -m**7/210 - m**6/45 - m**5/30 + m**3/2 - m - 17. Let j(q) be the second derivative of f(q). Factor j(x).
-4*x*(x + 1)**2
Let r(z) be the first derivative of -3/8*z**4 + 0*z + 1/10*z**5 + 19 + z**2 + 0*z**3. Determine c, given that r(c) = 0.
-1, 0, 2
Suppose 7393 = 1377*l - 869. Factor -1/2*f**3 - 3/2*f**4 - l*f + 1/2*f**5 + 11/2*f**2 + 2.
(f - 2)*(f - 1)**3*(f + 2)/2
Let u(r) be the second derivative of 3/20*r**5 + 129*r - 1/120*r**6 - r**4 + 0*r**2 + 8/3*r**3 + 0. Solve u(n) = 0.
0, 4
Suppose 2*d = -11*d - 585. Let k = d + 61. Determine y so that 4*y**4 + k*y - 4*y**3 + 15 - 16*y**2 - 7 - 8 = 0.
-2, 0, 1, 2
Suppose 0 + 1/2*a**3 + 0*a - 183/2*a**2 = 0. What is a?
0, 183
Let a(j) be the third derivative of -j**5/60 - 7*j**4/8 - 29*j**3/3 - 4*j**2 - 6*j. Let c(x) = x**2 + x + 2. Let s(h) = -a(h) - 5*c(h). Factor s(t).
-4*(t - 6)*(t + 2)
Let z(i) be the first derivative of 0*i - 4/3*i**2 - 1/6*i**4 - 8/9*i**3 + 35. Determine u so that z(u) = 0.
-2, 0
Let j = -31 - -43. Suppose -o - j*o + 91 = 0. Let -7*a**5 - 4*a + 21*a**5 - 50*a**4 + 8*a**3 + 25*a**3 + o*a**5 = 0. Calculate a.
-2/7, 0, 2/3, 1
Let s(h) be the third derivative of -23/36*h**4 + 0*h + 2/3*h**3 + 280*h**2 + 7/90*h**5 + 