**6/10 - c**5/15 - c**4/2 + 4*c**3/3 - 623*c**2 - 2. Find z, given that x(z) = 0.
-1, 1, 2
Factor -48/5*n**4 - 48/5 + 72*n - 579/5*n**2 - 72*n**3.
-3*(n + 4)**2*(4*n - 1)**2/5
What is x in 11 + 65*x**3 - 69*x**3 - 105*x**2 + 104*x + 291 - 89*x**2 - 8 = 0?
-49, -1, 3/2
Let c = 28 + -33. Let r be -42*(c - 45/(-10)). Let -r*v**2 - 4*v**3 + 7*v**4 - 20*v - 6*v**3 + 17*v**3 - 5*v**3 - 4 = 0. Calculate v.
-1, -2/7, 2
Suppose 0 = -3*z - 2*d + 26, 0 = 2*z + 3*d - 0 - 9. Let p = z - 9. Find a such that -2*a**4 + 6*a**4 + 45*a**3 - 57*a**p + 12*a**2 - 4*a = 0.
0, 1
Let r(u) be the second derivative of u**7/22680 + 7*u**6/6480 - u**5/60 - u**4 - 130*u. Let l(m) be the third derivative of r(m). Factor l(h).
(h - 2)*(h + 9)/9
Suppose -17*v + 21*v - f = 9, 3*v + f = 5. Suppose -r + 5 = -2*q, -v*r - q = r - 8. Determine d so that 0 + 12/7*d**2 - 9/7*d - 3/7*d**r = 0.
0, 1, 3
Let p(j) be the third derivative of 1/240*j**6 + 1/120*j**5 - 1/8*j**4 + 0 + 0*j**3 - 67*j**2 + 0*j. Let p(h) = 0. What is h?
-3, 0, 2
Let u = -7154 - -7154. Let f(q) be the first derivative of 0*q**2 + u*q + 1/2*q**4 + 24 - 2/3*q**3. Let f(j) = 0. Calculate j.
0, 1
Find f, given that 5*f**3 + 135*f - 285/2*f**2 + 0 + 5/2*f**4 = 0.
-9, 0, 1, 6
Suppose 0 = -3*t + 67 - 58. Factor l**4 - 4*l**4 + 12*l**4 + 12*l - 24*l**2 + 3*l**t.
3*l*(l - 1)*(l + 2)*(3*l - 2)
Let n be (-19)/((-304)/(-112))*-1*(-2)/(-4). Let -n*x + 1/2*x**2 + 3 = 0. Calculate x.
1, 6
What is d in -5237*d**3 - 63*d + 84*d**2 - 9*d - 20*d**4 + 5241*d**3 + 4*d**5 = 0?
-2, 0, 1, 3
Suppose z + 84 = -f - 2*z, -3*f + 3*z = 300. Let m = f + 100. What is n in 0 + 3*n**3 - 12*n**m + 7*n**5 - 5*n**2 + 7*n**2 + 0 = 0?
-2/7, 0, 1
Factor -15444/7*k - 540/7*k**3 - 15552/7 - 5076/7*k**2 + 4/7*k**4.
4*(k - 144)*(k + 3)**3/7
Factor -76/3*o - 4/9*o**2 - 2288/9.
-4*(o + 13)*(o + 44)/9
Let y be 21*((-70)/(-15) + -3). Determine w so that 22*w - 25*w**3 + w - 5*w**4 - 30 + y*w**2 + 2*w = 0.
-6, -1, 1
Let o(n) = 20*n - 156. Let i be o(8). Suppose 5885 - 2288 + 8503 - 173*u - 267*u + i*u**2 = 0. Calculate u.
55
Factor -138 - 211*c**3 + 48*c - 65 + 42*c**2 - 200 + 214*c**3 + 115.
3*(c - 2)*(c + 4)*(c + 12)
Solve 250/3*g + 0 - 1/6*g**3 + 5/6*g**2 = 0.
-20, 0, 25
Let -132*y**3 + 21437*y**4 - 16*y**2 + 4*y**5 + 22*y + 106*y - 21421*y**4 = 0. Calculate y.
-8, -1, 0, 1, 4
Let i = -3718/7 + 11714/21. Factor i*c + 5/3*c**5 - 10/3*c**4 + 80/3*c**2 - 40/3*c**3 - 160/3.
5*(c - 2)**3*(c + 2)**2/3
Suppose -550 = 16*i - 582. Let f(o) be the first derivative of -1/15*o**5 + 2/3*o**i - 1 + 4/3*o - 1/3*o**4 - 1/3*o**3. Suppose f(g) = 0. What is g?
-2, -1, 1
Let n(k) = 4*k**2 - 4*k - 5. Let h(x) = -x**2 + x + 1. Suppose -35*q + 76 - 41 = 0. Let y(r) = q*n(r) + 5*h(r). Find d such that y(d) = 0.
0, 1
Find a, given that -220*a - 54/5*a**3 + 93*a**2 + 1/5*a**4 + 0 = 0.
0, 5, 44
Suppose l = 4*r + 19, 4*l - 6*l + 103 = 5*r. Let g = l - 37. Determine w so that 6 + 2*w**2 + 0*w - 3*w - g*w - 4 = 0.
1/2, 2
Let o = 3025/612 + -321/68. Let w(m) be the first derivative of 0*m**2 - o*m**3 + 14 + 4/15*m**5 - 7/12*m**4 + 0*m. Factor w(h).
h**2*(h - 2)*(4*h + 1)/3
Let t be ((-34)/187)/(-2*5/(-220)*-6). Factor 2/3*c**2 - 4/3 - t*c.
2*(c - 2)*(c + 1)/3
Suppose 0 = -4*a + 3*a - o + 2, 5*a + o = 18. Factor 54*u - a*u**2 + 8*u + 100 + 34*u.
-4*(u - 25)*(u + 1)
Let 1/3*m**4 - 36*m - 33 + 4*m**3 + 2/3*m**2 = 0. Calculate m.
-11, -3, -1, 3
Let m(s) be the first derivative of 95 + s**2 + 32/15*s - 2/45*s**3. Suppose m(h) = 0. Calculate h.
-1, 16
Suppose 412 + 2847*i - 112 + 9*i**2 - 1370 - 832 = 0. Calculate i.
-317, 2/3
Factor 109 + 113/4*x + 1/4*x**2.
(x + 4)*(x + 109)/4
Let i(f) be the first derivative of -2*f**3/9 + 436*f**2/3 - 290*f + 3263. Factor i(j).
-2*(j - 435)*(j - 1)/3
Let d be 4/(-7)*(-126)/36. Suppose 0 = -d*u - 2*u + 16. Find j such that u + j**3 + 6*j - 6*j**3 + 3*j**3 = 0.
-1, 2
Let q(y) = 5*y**5 + 10*y**4 - 15*y**3 + 20*y**2 - 20*y. Let j(s) = -s**3 + s**2 - s. Let z be (-1*(-2)/2 - 2)*20. Let f(x) = z*j(x) + q(x). Factor f(c).
5*c**3*(c + 1)**2
Factor 166*x - 11/2*x**3 - 30 - 9/2*x**2.
-(x - 5)*(x + 6)*(11*x - 2)/2
Let v(n) = 6*n**2 - 2361*n + 4692. Let b(p) = -p**2 + 6. Let r(a) = -3*b(a) - v(a). Solve r(i) = 0.
2, 785
Let t(j) = -15*j - 310. Let a be t(-20). Let o be 2 + 28/a + 2432/665. Find q, given that -32/7*q - 16/7*q**2 + 0 + 24/7*q**3 + 4/7*q**5 + o*q**4 = 0.
-2, 0, 1
Let b(q) = -q**3 + 10*q**2 - 11*q + 13. Let f be b(9). Let y(x) = -5*x**2 - x - 1. Let h(z) = 16*z**2 - 21*z - 22. Let v(u) = f*h(u) - 15*y(u). Solve v(g) = 0.
-1, 25
Let v(p) be the second derivative of p**4/3 + 94*p**3/3 - 520*p**2 - 4*p + 18. Let v(z) = 0. What is z?
-52, 5
Let i(w) be the third derivative of -7*w**6/24 + 155*w**5/12 - 10*w**4/3 - 110*w**3 - 1752*w**2. Factor i(q).
-5*(q - 22)*(q - 1)*(7*q + 6)
Let p(o) be the third derivative of o**7/140 - 37*o**6/80 + 219*o**5/20 - 371*o**4/4 - 490*o**3 + 6713*o**2. Let p(y) = 0. What is y?
-1, 10, 14
Let c(z) be the third derivative of -z**6/480 - 109*z**5/80 + 55*z**4/4 - 331*z**3/6 - 2965*z**2. Find u, given that c(u) = 0.
-331, 2
Suppose 0*u + 2*a = 3*u - 20, 2*u + a = 11. Let d be (0/5)/(6/u). Factor -2/3*r**4 + d*r**3 - 2/3*r**5 + 0*r**2 + 0*r + 0.
-2*r**4*(r + 1)/3
Determine j so that -468/7*j**2 + 2/7*j**3 + 26904/7*j + 55696/7 = 0.
-2, 118
Let n(y) be the first derivative of y**6/21 + 2*y**5/7 - 3*y**4/7 - 36*y**3/7 - 27*y**2/7 + 162*y/7 + 1805. Factor n(v).
2*(v - 3)*(v - 1)*(v + 3)**3/7
Factor 22 + 2/11*b**2 + 4*b.
2*(b + 11)**2/11
Let g(w) be the first derivative of 7/18*w**4 + 0*w - 4/45*w**5 - 14/27*w**3 + 2/9*w**2 + 69. Suppose g(m) = 0. What is m?
0, 1/2, 1, 2
Let s(i) be the third derivative of i**5/100 + 33*i**4/20 + 121*i**3/2 + 4*i**2 - 162*i - 3. Solve s(n) = 0 for n.
-55, -11
Let h = 4 - -1. Let p(f) = -35*f + 74. Let u be p(2). Solve 12*s**u - 16 + 19*s + 16*s**3 - 12*s**3 + 29*s - 44*s**2 - 4*s**h = 0.
-2, 1, 2
Let x be 10 + 325/(-45) + 416/(-72) + 6. Factor 0 + 5/3*b**x - 50/3*b - 5*b**2.
5*b*(b - 5)*(b + 2)/3
Let -505 - 62*a**2 + 165*a + 29*a**2 - 607*a - 371 + 31*a**2 = 0. Calculate a.
-219, -2
Let a be 654/(-6976)*(-96)/15. Factor a*h**2 + 60 - 12*h.
3*(h - 10)**2/5
Let i(m) be the third derivative of 3*m**7/65 + 33*m**6/260 + 41*m**5/390 + 5*m**4/156 - 10384*m**2. Find t, given that i(t) = 0.
-1, -1/3, -5/21, 0
Let a(w) be the first derivative of -w**3/27 - 34*w**2/3 + 205*w/9 - 1228. Factor a(o).
-(o - 1)*(o + 205)/9
Factor -3/5*h**2 - 357/5*h - 1044/5.
-3*(h + 3)*(h + 116)/5
Let x(y) be the second derivative of -7*y**6/15 - 121*y**5/5 - 2687*y**4/14 - 4196*y**3/21 - 580*y**2/7 - 6*y - 58. Determine u so that x(u) = 0.
-29, -5, -2/7
Let v(n) be the second derivative of 361/100*n**5 + 6/5*n**2 - n + 116/15*n**3 + 1159/60*n**4 - 1. What is y in v(y) = 0?
-3, -2/19
Let v(b) = -377*b**2 - 29*b**3 + 378*b**2 + 28*b**3. Let j be (16/(-24))/(4/(-18)). Let x(w) = -3*w**3. Let q(k) = j*v(k) - 2*x(k). Factor q(a).
3*a**2*(a + 1)
Let x(m) be the first derivative of -m**4/12 + 50*m**3/9 + 17*m**2/2 + 676. Determine g so that x(g) = 0.
-1, 0, 51
Factor 124/5 - 61/5*i**2 - 1/5*i**3 + 64/5*i.
-(i - 2)*(i + 1)*(i + 62)/5
Suppose 69*f = 67*f + 78. Factor 2*x + 78*x**2 - x**4 - 2*x**3 - f*x**2 - 38*x**2.
-x*(x - 1)*(x + 1)*(x + 2)
Let w(c) be the second derivative of 29/18*c**4 + 16/9*c**2 + 14/45*c**5 + 70/27*c**3 - 1/27*c**6 + 0 - 52*c. Solve w(k) = 0.
-1, -2/5, 8
Let f(i) = i**2 - i - 13. Let p be f(-4). Factor -8*b + 0*b**3 + p*b**2 - 11*b**2 + 4*b**3.
4*b*(b - 2)*(b + 1)
Suppose -12*o**4 + 504/5*o + 256/5 - 134/5*o**3 + 2/5*o**5 + 176/5*o**2 = 0. Calculate o.
-2, -1, 2, 32
Suppose -5*x + m = -19, x + 8*m + 39 + 31 = 0. Factor 0*k - 2/9*k**5 + 0 - 2/9*k**x + 2/9*k**3 + 2/9*k**4.
-2*k**2*(k - 1)**2*(k + 1)/9
Let o(q) be the second derivative of 1/90*q**5 + 4/27*q**3 + 0*q**2 - 5/54*q**4 + 127*q + 0. Factor o(j).
2*j*(j - 4)*(j - 1)/9
Let l(r) be the second derivative of r**6/200 + 2*r**5/25 + 3*r**4/8 + 73*r**2 + 2*r + 56. Let d(x) be the first derivative of l(x). Factor d(g).
3*g*(g + 3)*(g + 5)/5
Let s = 15810/11 - 60171/44. What is o in -s*o**3 - 135/4*o**4 - 3/2 - 195/4*o**2 - 57/4*o = 0?
-1, -2/5, -1/3
Let l(n) = -5*n**3 - 15*n**2 + 30*n + 40. Let t(s) = -3*s**3 - 7*s**2 + 16*s + 20. Let h = 355 - 350. Let k(w) = h*t(