 -3*a - 1170. Let q = a - -626. Suppose 0 + q*o**2 - 24/5*o - 21/5*o**3 = 0. Calculate o.
0, 2/7, 4
Solve 1296*m**2 - 1/2*m**5 + 0 + 0*m + 22*m**4 - 306*m**3 = 0.
0, 8, 18
Suppose -312*x = -609*x + 320*x - 69. Determine y so that 0 + 4/5*y**2 + 0*y + 0*y**x - 1/5*y**5 - 3/5*y**4 = 0.
-2, 0, 1
Let p(m) = -m**3 + 6*m**2 - 3*m - 16. Let x be p(4). Let -3*f**4 + 0*f**x + 171*f**2 - 165*f**2 - 2 - 1 = 0. Calculate f.
-1, 1
Let i(g) be the second derivative of g**6/255 - 81*g**5/17 + 54675*g**4/34 - 1079*g + 1. Factor i(t).
2*t**2*(t - 405)**2/17
Let n be 6/9 - 0 - 39/(-9). Suppose n*r + 3 = 4*j, 2*j - 5*r - 2 = -3*r. Determine a, given that -a - 2*a**j - 12*a**2 + 12*a**2 + 1 = 0.
-1, 1/2
Determine n, given that -288*n + 486*n**2 + 2*n**5 - 64215*n**4 - 198*n**3 + 64254*n**4 + 243 - 5*n**5 - 279*n = 0.
1, 3
Let f(j) be the third derivative of 25*j**8/28 - 169*j**7/7 + 31321*j**6/160 - 22417*j**5/80 - 155*j**4/2 - 8*j**3 - j**2 - 403*j. Solve f(m) = 0 for m.
-1/20, 1, 8
Let j(f) be the third derivative of f**5/105 + 17*f**4/21 + 160*f**3/7 + 109*f**2 + 2. Let j(w) = 0. What is w?
-24, -10
Suppose 0 = 5*k - p - 245, 34*p - 35*p + 187 = 4*k. Suppose -k*g + 33*g = -60. Factor -2/5*d**2 + 0 - 2/5*d**3 + 2/5*d**g + 2/5*d.
2*d*(d - 1)**2*(d + 1)/5
Suppose 52 + 164*v**4 - 52 + 216*v + 3*v**5 - 13*v**5 - 402*v**3 + 360*v**2 - 48*v**4 = 0. What is v?
-2/5, 0, 3, 6
Find s such that 1320/7*s - 200/7*s**2 - 2178/7 = 0.
33/10
Suppose 129/5*d**2 + 3/5*d**3 + 351/5 + 477/5*d = 0. Calculate d.
-39, -3, -1
Suppose -2624/7*o - 2/21*o**5 + 1920/7 - 256/7*o**3 + 3784/21*o**2 + 22/7*o**4 = 0. What is o?
2, 5, 12
Let z(o) be the third derivative of 0*o + 0 - 32*o**2 + 1/20*o**5 - 5/8*o**4 + 0*o**3. Factor z(i).
3*i*(i - 5)
Suppose 4*c - 12*h + 4834 = -14*h, 0 = -3*c + 3*h - 3648. Let d = c + 1214. Factor 15/2*v**d + 0 + 3*v + 17/2*v**2 + 2*v**4.
v*(v + 1)*(v + 2)*(4*v + 3)/2
Let f(k) be the first derivative of k**4 + 1456*k**3/3 + 4314*k**2 + 12888*k - 5445. Determine g so that f(g) = 0.
-358, -3
Let q = 1594 + -1575. Suppose 0 = g - 19 + q. Suppose 63/2*v**2 + g + 9/2*v**5 + 99/2*v**3 + 6*v + 57/2*v**4 = 0. What is v?
-4, -1, -1/3, 0
Let g = 55 + -53. Factor -g*v**2 - 3*v + v - v**2 - 7*v.
-3*v*(v + 3)
Let m(u) be the third derivative of u**7/70 + u**6/40 - 3*u**5/5 + 647*u**2. Determine q, given that m(q) = 0.
-4, 0, 3
Suppose 0 = 65181*s - 65196*s + 60. Let v(d) be the second derivative of 1/60*d**s + 1/100*d**5 + 0*d**2 + 0 + 14*d - 1/150*d**6 - 1/30*d**3. Factor v(k).
-k*(k - 1)**2*(k + 1)/5
Let d(s) be the first derivative of s**5/5 - 13*s**4 - 109*s**3/3 + 26*s**2 + 108*s + 3790. What is u in d(u) = 0?
-2, -1, 1, 54
Let q(k) be the second derivative of k**5/60 + 5*k**4/3 + 227*k**3/18 + 28*k**2 + 15*k + 16. Factor q(i).
(i + 1)*(i + 3)*(i + 56)/3
Suppose -3*a + 2*b - 3*b - 227 = 0, -384 = 5*a - 4*b. Let c = a + 79. Suppose -5*s**5 + 3*s - 3*s - 5*s**3 + 20*s**4 - 15*s**c = 0. Calculate s.
0, 2
Let p(s) be the first derivative of -5*s**8/336 + s**6/24 + 179*s**2/2 - 65. Let x(q) be the second derivative of p(q). Let x(a) = 0. What is a?
-1, 0, 1
Let n = -46262 - -46264. Factor 0 - 4/9*k**4 + 4/9*k**3 + 0*k + 8/9*k**n.
-4*k**2*(k - 2)*(k + 1)/9
Suppose -32*b = -14829 + 941. Suppose 2 = -433*g + b*g. Suppose -77/4*u**3 - 33/2*u**g + 49/4*u**4 + 13*u - 2 = 0. Calculate u.
-1, 2/7, 2
Suppose 0 = 27*m - 25 - 110. Suppose d + m*l = -4*d + 15, 5*l + 9 = d. Factor 0 + 0*o + 1/3*o**d - 1/6*o**5 + 0*o**2 - 1/6*o**3.
-o**3*(o - 1)**2/6
Let y(h) = 5*h**3 + 11*h + 6. Let u be y(6). Let l = u - 9167/8. Factor 0 + 1/8*c**4 + 0*c + l*c**2 + 7/4*c**3.
c**2*(c + 7)**2/8
Let b(n) be the second derivative of -5*n**7/168 - 17*n**6/3 - 867*n**5/2 - 49130*n**4/3 - 835210*n**3/3 + 52*n - 1. Factor b(r).
-5*r*(r + 34)**4/4
Let h(v) = -12*v**3 - 17*v**2 + 680*v + 2430. Let x(c) = 12*c**3 + 18*c**2 - 680*c - 2434. Let o(s) = -4*h(s) - 5*x(s). Determine m, given that o(m) = 0.
-5, 49/6
Suppose -403*u**2 + 94*u**2 + 45 + 85*u**4 - 15*u**5 + 105*u - 90*u**3 + 179*u**2 = 0. What is u?
-1, -1/3, 1, 3
Suppose 57*r - 64*r = 8379. Let p = -1193 - r. Let -2/15*i**p - 14/15*i**2 + 4/3*i + 2/15*i**5 - 22/15*i**3 + 16/15 = 0. Calculate i.
-2, -1, 1, 4
Let i(p) = -p**4 - 3*p**3 + p**2 + p - 1. Let b(m) = 36*m**5 + 384*m**4 - 1304*m**3 + 1808*m**2 - 1060*m + 244. Let x(v) = b(v) + 36*i(v). Solve x(d) = 0.
-13, 2/3, 1
What is i in 4/5*i**5 + 456620*i**2 + 0 + 1012/5*i**4 - 982600*i + 16932*i**3 = 0?
-85, 0, 2
Let i be ((-4)/(-3))/(224/8016) - 14/(-1). Find q, given that 2/7*q**3 + 36/7*q**2 + 216/7*q + i = 0.
-6
Let i(j) be the third derivative of j**5/270 + j**4/4 + 140*j**3/27 - 2*j**2 - 2478*j + 1. Factor i(y).
2*(y + 7)*(y + 20)/9
Let p(x) be the first derivative of -4*x**3/3 + 86*x**2 - 480*x - 2753. Suppose p(m) = 0. What is m?
3, 40
Let c(o) be the first derivative of -1/480*o**5 + 0*o + 0*o**2 + 14 - 1/1440*o**6 - 8/3*o**3 + 0*o**4. Let t(z) be the third derivative of c(z). Solve t(u) = 0.
-1, 0
Let f = -8685 + 43567/5. Let r = -1472/55 + f. Suppose -2/11*i**3 + 32/11 - 48/11*i + r*i**2 = 0. What is i?
1, 4
Let n(y) be the third derivative of -y**6/60 + 7*y**5/30 + 40*y**4/3 - 1300*y**3/3 - 36*y**2 - 12*y - 2. Find i, given that n(i) = 0.
-13, 10
Let l(q) be the third derivative of -q**6/300 - 182*q**5/5 - 165620*q**4 - 1205713600*q**3/3 + 24*q**2 + 2*q - 4. Let l(x) = 0. What is x?
-1820
Let v(o) be the first derivative of 2*o**3/9 - 2*o**2 - 48*o + 1495. Factor v(d).
2*(d - 12)*(d + 6)/3
Let v = 111/44 - 14/11. Let u = -157080 - -628335/4. Factor -u + v*p**2 - 5/2*p.
5*(p - 3)*(p + 1)/4
Let l(t) be the second derivative of -t**6/150 + 29*t**5/20 + 148*t**4/15 + 298*t**3/15 + 3696*t. Factor l(w).
-w*(w - 149)*(w + 2)**2/5
Let r be 522/(-8)*(-96)/(-1584). Let x = 60/11 + r. Solve 3*i**3 + 0 + 9/2*i**2 + 0*i - x*i**4 = 0.
-1, 0, 3
Let y(o) = -41*o**2 + 147*o - 46. Let s(k) = -27*k**2 + 99*k - 30. Let r(v) = -7*s(v) + 5*y(v). Solve r(a) = 0.
5/8, 2
Let o be (24/28)/((-3)/273). Let n = -53 - o. Let i(a) = 5*a**3 + 55*a. Let w(m) = m**2 - m. Let s(h) = n*w(h) + i(h). Let s(b) = 0. Calculate b.
-3, -2, 0
Let y = -66 - -71. Let c(a) be the first derivative of -4/13*a**2 + 0*a - 21 + 67/26*a**4 + 0*a**3 - 126/65*a**y. Determine d, given that c(d) = 0.
-2/9, 0, 2/7, 1
Let s(b) be the first derivative of -b**6/12 - 12*b**5/5 - 33*b**4/2 - 109*b**3/3 + 69*b**2/4 + 153*b - 1874. Find o, given that s(o) = 0.
-17, -3, -2, 1
Let u(r) be the second derivative of r**7/8820 + 11*r**6/2520 + r**5/42 - 7*r**4/12 + 3*r**2/2 + 4*r - 3. Let b(h) be the third derivative of u(h). Factor b(z).
2*(z + 1)*(z + 10)/7
Let v(d) = -81*d**3 + 407*d**2 - 12*d + 14. Let c be v(5). Find w, given that -2/3*w**4 - 38/3*w - 14*w**2 - 6*w**3 - c = 0.
-6, -1
Let w be (36/48)/(3/8). Determine v so that 2 + 65*v**2 - 1 - 6 - 3*v + 5*v**3 - 2*v - 60*v**w = 0.
-1, 1
Let t(y) be the third derivative of y**6/60 + 11*y**5/5 - 34*y**4/3 + 253*y**2 - 5*y. Factor t(u).
2*u*(u - 2)*(u + 68)
Let v(h) be the second derivative of h**5/540 + 13*h**4/36 + 169*h**3/6 - 64*h**2 - 127*h. Let x(n) be the first derivative of v(n). Factor x(k).
(k + 39)**2/9
Let w(d) = -d**3 - d**2 + 2*d + 1. Let n(s) = s**3 + 41*s**2 - 92*s + 54. Let m(o) = n(o) + 6*w(o). Factor m(x).
-5*(x - 3)*(x - 2)**2
Let n(b) = -157*b - 12558. Let w be n(-80). Determine g so that 72/13 + 120/13*g + 74/13*g**w + 2/13*g**4 + 20/13*g**3 = 0.
-3, -2
Suppose 0 = -101*l + 187 + 217. Let o(b) be the third derivative of -4/3*b**3 + 2/15*b**5 - 1/2*b**l + 0*b + 0 + 5*b**2. Factor o(m).
4*(m - 2)*(2*m + 1)
Let n(z) be the first derivative of z**5/660 - z**4/264 - 50*z**2 - z + 104. Let w(r) be the second derivative of n(r). Solve w(o) = 0 for o.
0, 1
Suppose 5*u + 33 = 78. Suppose 17 = 3*z + u*j - 10*j, -2*z - 4*j = 12. Factor 0*o**3 + 0 + 1/3*o**z + 0*o - 4/3*o**2.
o**2*(o - 2)*(o + 2)/3
Let z(g) be the second derivative of g**5/150 + 151*g**4/45 - 914*g. Factor z(u).
2*u**2*(u + 302)/15
Let d(v) = -2*v**4 + 176*v**3 + 4316*v**2 + 22400*v - 4. Let o(n) = 12*n**4 - 881*n**3 - 21578*n**2 - 112000*n + 22. Let i(j) = -22*d(j) - 4*o(j). Factor i(m).
-4*m*(m + 7)*(m + 40)**2
Let u(c) be the second derivative of -1 - 1/10*c**5 - 13/15*c**6 + 0*c**3 + 13/6*c**4 + 1/21*c**7 - 165*c + 0*c**2. Find s