**2 + 30*d**3 + 12*d + 1044 - 32*d**3 - 145*d**2 + 29*d**3.
3*(d - 3)*(d + 2)*(9*d - 58)
Let j = 8327 - 124903/15. Let f(d) be the first derivative of -1/3*d + 5/12*d**2 - 1/9*d**3 - 1/6*d**4 - 1/36*d**6 + j*d**5 - 32. Factor f(m).
-(m - 2)*(m - 1)**3*(m + 1)/6
Suppose -6*q - 16 = -4*f, 0*q - 7*q = -q - 2*q. Let f*a**2 + 10*a - 2/3*a**3 + 16/3 = 0. What is a?
-1, 8
Factor 37/3*p**3 + 0 + 0*p - 3*p**2 - 4/3*p**4.
-p**2*(p - 9)*(4*p - 1)/3
Find f, given that 0*f - 5/4*f**4 + 2*f**3 - 1/4*f**5 + 0 + 12*f**2 = 0.
-4, 0, 3
Let v = 69 - 72. Let r(z) = -86*z**3 - 50*z**2 + 144*z - 56. Let a(j) = 17*j**3 + 10*j**2 - 29*j + 11. Let l(g) = v*r(g) - 16*a(g). Solve l(s) = 0 for s.
-2, 2/7, 1
Suppose 6*y - 9*y = 525. Let i be (y/(-630))/((-5)/(-4)). Let -i*m**3 - 16/9*m - 10/9*m**2 - 8/9 = 0. Calculate m.
-2, -1
Let v(a) = a**3 + 44*a**2 - 46*a - 42. Let u be v(-45). What is y in 16*y + 5*y - 30 + 0*y - u*y**2 + 0*y = 0?
2, 5
Let h(x) = -2*x**3 + 2*x**2 + 5*x - 25. Let s be h(6). Let t = s + 358. Factor 2/17*j**t - 4/17*j**2 - 8/17 - 14/17*j.
2*(j - 4)*(j + 1)**2/17
Let x(l) = -l**4 + 9*l**3 - 6*l**2 - 16*l + 27. Let r(y) = 4*y**4 - 36*y**3 + 24*y**2 + 64*y - 117. Let t(o) = 6*r(o) + 26*x(o). Factor t(k).
-2*k*(k - 8)*(k - 2)*(k + 1)
Let g(o) be the second derivative of o**5/5 - 241*o**4/3 + 9760*o**3 - 28800*o**2 - 19*o. Let g(v) = 0. Calculate v.
1, 120
Solve -42*w**2 + 544/13 - 542/13*w + 542/13*w**3 + 2/13*w**4 = 0.
-272, -1, 1
Suppose 2*s - 191 = -181. Find m such that 9*m**2 - m**3 - 12*m**2 + 15 - 4*m**3 + s*m - 12*m**2 = 0.
-3, -1, 1
Suppose 17*l - 14*l = 462. Factor -86*w - 4*w**2 + l*w + 28 - 92*w.
-4*(w - 1)*(w + 7)
Let w(x) be the third derivative of -x**8/840 - 4*x**7/75 - 97*x**6/150 - 44*x**5/15 - 7*x**4/20 + 228*x**3/5 + 1466*x**2. Let w(q) = 0. Calculate q.
-19, -4, -3, 1
Let d be (52 - (-23 - -90)) + (-38)/(-2). Factor -d*s + 0 + 1/3*s**2.
s*(s - 12)/3
Let k = -1308959/540 - -2424. Let r(t) be the third derivative of 0 + 1/6*t**3 + k*t**5 - 17*t**2 + 1/36*t**4 + 0*t. Factor r(z).
(z + 3)**2/9
Let r(y) = -107*y**3 - 118*y**2 + 349*y - 13. Let k(o) = -49*o**3 - 59*o**2 + 174*o - 6. Let z(i) = -13*k(i) + 6*r(i). Factor z(v).
-v*(v - 7)*(5*v - 24)
Suppose 38 = -4*l + 5*o, -14818*o = -l - 14813*o - 47. Factor 5/2*g**2 + l - 13/2*g.
(g - 2)*(5*g - 3)/2
Let t(m) be the second derivative of -5*m**4/12 + 140*m**3 - 830*m**2 + 230*m - 3. Determine h, given that t(h) = 0.
2, 166
Let d = -26359 - -26363. Let h(k) be the third derivative of 1/6*k**3 + 0*k + 1/60*k**5 + 19*k**2 + 0 + 1/12*k**d. Factor h(p).
(p + 1)**2
Let m(h) = 55*h + 2. Let v be m(1). Suppose -4*y + 163 = 4*b - v, 0 = 4*y + 5*b - 216. Factor 45*d + 5*d**4 - 15*d**3 - 25*d**2 - y*d + 20 + 29*d.
5*(d - 4)*(d - 1)*(d + 1)**2
Let x = 35997 + -35835. Let c(s) be the first derivative of -x*s + 18*s**2 - 4 - 2/3*s**3. Suppose c(h) = 0. What is h?
9
Let y(b) be the third derivative of -b**6/12 + 115*b**5/12 - 845*b**4/24 + 140*b**3/3 + 527*b**2. Solve y(z) = 0.
1/2, 1, 56
Let z(h) be the third derivative of h**7/210 - 7*h**6/20 + 119*h**5/60 - 13*h**4/4 - 491*h**2. Factor z(i).
i*(i - 39)*(i - 2)*(i - 1)
Let b(q) = 71*q**2 - 871*q + 2909. Let z(n) = -n - 3. Let f(u) = 18*u**2 - 221*u + 718. Let k(t) = -2*f(t) + 6*z(t). Let r(s) = 4*b(s) + 7*k(s). Factor r(y).
2*(4*y - 27)**2
Determine z, given that 96 - 4/9*z**2 - 76/9*z = 0.
-27, 8
What is l in 204*l + 71/5*l**2 + 1/5*l**3 + 0 = 0?
-51, -20, 0
Suppose -2*a + 5*m + 176 = 0, -2*a = -0*a + 3*m - 192. Let f = a - 89. Solve -597 + 4*c**2 + 585 + 8*c**2 + f*c + 2*c**3 - 6*c**3 = 0.
-1, 1, 3
Let f(i) be the third derivative of i**6/540 + 7*i**5/90 + 11*i**4/12 + 5*i**3 + i**2 + 2*i + 1423. Factor f(q).
2*(q + 3)**2*(q + 15)/9
Let q(l) be the first derivative of -2*l - 2/3*l**2 - 1/18*l**3 + 58. Find y such that q(y) = 0.
-6, -2
Let x(a) = a**2 + a - 4. Let s(r) = r**2 + 1594*r - 663. Let j(u) = 3*s(u) + 18*x(u). Factor j(p).
3*(p + 229)*(7*p - 3)
Let d(b) be the third derivative of b**5/15 - 443*b**4/3 + 590*b**3 + 12576*b**2. Solve d(p) = 0 for p.
1, 885
Let x(v) be the third derivative of -17*v**7/42 - 32*v**6/3 - 277*v**5/4 + 650*v**4/3 + 160*v**3/3 - 918*v**2. Find d such that x(d) = 0.
-8, -1/17, 1
Find g such that 9*g**2 - 44 - 272*g**3 + 1236*g - 3*g**4 - 85*g**3 - 159*g + 758 = 0.
-119, -1, 2
Let c(x) be the first derivative of 110*x - 5/3*x**3 + 105/2*x**2 - 95. Determine f, given that c(f) = 0.
-1, 22
Suppose 0 = -12*j - 436 + 5800. Let c = 447 - j. Factor c - 2/11*h**2 + 6/11*h.
-2*h*(h - 3)/11
Let w(i) = -25*i**2 - 10*i - 2. Let a = 283 - 304. Let o(m) = 249*m**2 + 102*m + 21. Let u(t) = a*w(t) - 2*o(t). Determine f so that u(f) = 0.
-2/9, 0
Let v(z) = -2*z**3 + 24*z**2 - 42*z - 108. Let u be v(9). Factor 0 + u*f**3 + 4/5*f**4 + 0*f - 4/5*f**2.
4*f**2*(f - 1)*(f + 1)/5
Let 10443 + 4189/2*p + 62*p**2 + 1/2*p**3 = 0. Calculate p.
-59, -6
Let g be 70/7 - (-16)/(-2). Factor 19*f**3 - 2*f**4 + 36*f**g - 116*f**2 - 25*f + 40*f**2.
-f*(f - 5)**2*(2*f + 1)
Let d(h) be the first derivative of 42 - 2/21*h**3 + 3/7*h**2 + 0*h. Factor d(i).
-2*i*(i - 3)/7
Let k(w) be the third derivative of w**5/210 - 59*w**4/42 + 39*w**3/7 - 3992*w**2. Determine r, given that k(r) = 0.
1, 117
Suppose -5*z - 77 = 5*k - 72, 2*k + z = -1. Let j(n) be the second derivative of 0*n**2 + 2/3*n**3 + k + 1/12*n**4 - 21*n. What is o in j(o) = 0?
-4, 0
Let 9245/4 - 3913/2*m - 1/4*m**4 + 41/2*m**3 - 375*m**2 = 0. Calculate m.
-5, 1, 43
Suppose 0 = 4*d - 0*n - 4*n - 24, -5*d + 21 = -2*n. Solve -9 + 8 - 9*q - 17 - 7*q - d*q**2 - 5*q = 0 for q.
-6, -1
Let r(s) be the second derivative of 29*s**4/6 + 122*s**3/3 + 24*s**2 + 6*s - 309. Factor r(o).
2*(o + 4)*(29*o + 6)
Suppose -4*i = -2*i + 3*d - 13, 3*d = -5*i + 28. Suppose 3*l + i*l - 14032 = 0. Let -72*q**2 - 10*q - 1702 - l - 854*q - 2*q**3 = 0. What is q?
-12
Let k(w) be the third derivative of -w**6/360 - 17*w**5/90 + 109*w**4/72 - 37*w**3/9 + 592*w**2. Suppose k(i) = 0. Calculate i.
-37, 1, 2
Factor -402*v + 262*v + 16*v**2 + 2032*v.
4*v*(4*v + 473)
Factor -1/6*o**2 - 254/3*o - 32258/3.
-(o + 254)**2/6
Let s(w) be the second derivative of w**6/960 + 7*w**5/40 - 5*w**3/6 + 25*w**2/2 + 230*w. Let z(l) be the second derivative of s(l). Factor z(g).
3*g*(g + 56)/8
Let b(c) = 35*c**3 - 835*c**2 + 3970*c + 4915. Let g(f) = 5*f**3 - 120*f**2 + 567*f + 702. Let v(h) = -2*b(h) + 15*g(h). Factor v(x).
5*(x - 20)*(x - 7)*(x + 1)
Suppose 24 - 132 = -9*d. Factor -3*x**2 - 4886 - d*x + 4853 - 24*x.
-3*(x + 1)*(x + 11)
Let c(k) be the first derivative of -33*k**2 - 64*k + 55. Let f(u) = u**2 - 67*u - 65. Let y(a) = -3*c(a) + 2*f(a). Let y(l) = 0. What is l?
-31, -1
Let o(c) = -c**2 + 35*c + 74. Let x be o(37). Factor 7*w**2 + 15*w + x*w**2 + 4*w**2 + 95*w - 240 - 6*w**2.
5*(w - 2)*(w + 24)
Let q(s) = -s**3 + 7*s**2 - 5*s - 6. Let i be q(4). Let j(t) = 479*t**2 + 20*t + 11. Let d(u) = -96*u**2 - 4*u - 2. Let r(w) = i*d(w) + 4*j(w). Factor r(l).
-4*l*(49*l + 2)
Let -40*b + 1/3*b**4 + 2*b**3 - 28/3*b**2 + 96 = 0. Calculate b.
-6, 2, 4
Let -242*m - 112*m**2 - 140*m**2 - 10*m**3 - 82*m**3 - 4*m**4 - 80 - 2*m = 0. What is m?
-20, -1
Let r(s) = s**2 - 5*s + 16. Let u(j) = j**2 - 3*j + 15. Let v(q) = 3*r(q) - 2*u(q). Solve v(a) = 0.
3, 6
Let g = 23 - 54. Let u = -29 - g. Find c such that -6*c**3 - c + 2*c**u - 4*c**4 - 2*c**2 - c**5 - 6*c**2 + 2*c**2 = 0.
-1, 0
Let t be -5 - (1343/(-34) - -24). Determine s, given that -3/2*s**2 + 3/2*s**4 + 0 - 21/2*s**3 + t*s = 0.
-1, 0, 1, 7
Let i be (509/4)/(8 - 124/16). Let y = 10691/21 - i. Factor 8/21 - y*p**2 + 2/7*p.
-2*(p - 4)*(p + 1)/21
Let m(c) be the second derivative of 57*c**5/40 + 47*c**4/16 + 9*c**3/8 + 668*c + 4. Find r, given that m(r) = 0.
-1, -9/38, 0
Factor -756/5 + 2/5*j**2 + 94/5*j.
2*(j - 7)*(j + 54)/5
Let o = 68 + -1. Let x = o + -65. Find h such that 2*h**5 + 0*h**5 - 12*h**3 - 8*h**x + 2*h**5 = 0.
-1, 0, 2
Let h = 369217 + -369215. Suppose 0 - 3/8*v**h + 3/8*v = 0. What is v?
0, 1
Let v(g) be the second derivative of 5*g**4/12 + 845*g**3/6 + 835*g**2 - 576*g + 2. Factor v(x).
5*(x + 2)*(x + 167)
Let s be (30/24)/(8/(-64)). Let t(b) = b**2 + b + 1. Let j(r) = -4*r**3 + 50*r**2 + 54*r + 10. Let c(u) = s*t(u) + j(u). Factor c(w).
-4*w*(w - 11)*(w + 1)
Let t(n) be the second derivative