be the second derivative of -h**5/90 + 5*h**4/12 + 12*h**2 - 48*h. Let b(f) be the first derivative of r(f). Factor b(x).
-2*x*(x - 15)/3
Determine y, given that y + 0 + 1/6*y**2 - 1/6*y**3 = 0.
-2, 0, 3
Let y(c) = 13*c**2 - 83*c + 648. Let x(v) = -3*v - 62. Let j be x(-28). Let g(o) = o**2 - o. Let s(l) = j*g(l) - 2*y(l). Factor s(z).
-4*(z - 18)**2
Let u(a) = 8*a**2 + a - 3. Let s be u(-1). Factor 2*y + 11*y - y**5 - 13*y + 5*y**s.
-y**4*(y - 5)
Suppose -10*p = 9*p - 57. Factor -3*o**p + 2*o**3 + 3*o**2 + 21 - 3*o - 20.
-(o - 1)**3
Find q such that 0 + 402/7*q**2 + 816/7*q - 3/7*q**3 = 0.
-2, 0, 136
Suppose 0 = -5*d + 26 + 24. Let f be ((-5 - d/(-2)) + 0)/3. Factor -4/15 + f*m**2 - 2/5*m + 2/15*m**3.
2*(m - 2)*(m + 1)**2/15
Let i(r) be the third derivative of 5*r**8/336 - 59*r**7/21 - 15*r**6 - 181*r**5/6 - 605*r**4/24 - 69*r**2 + 4*r. Let i(c) = 0. Calculate c.
-1, 0, 121
Let g = -121 - -45. Let y be g/(-38) + (26/(-10) - -1). Factor -y*f**2 - 8/5 + 8/5*f.
-2*(f - 2)**2/5
Let b(o) be the first derivative of 2*o**3/57 - 33*o**2/19 + 324*o/19 + 81. Suppose b(x) = 0. What is x?
6, 27
Let x be (-2)/(-3) - ((-14161)/21 - -12). Let d = x - 1987/3. Suppose d*h**3 + 1/3*h - 5/6*h**2 - 1/6*h**4 + 0 = 0. What is h?
0, 1, 2
Let k(z) = -455*z - 62332. Let n be k(-137). What is l in 1/2*l**4 + 9/2*l + 7/6 - 1/6*l**5 + 19/3*l**2 + 11/3*l**n = 0?
-1, 7
Let -252 + 1/2*b**3 - 31*b**2 + 345/2*b = 0. What is b?
3, 56
Suppose -5*u - 4*c + 26 = 0, -3*u = -0*u + 3*c - 18. Let g be 34/2 + (-6)/u. Factor -4*s - 4*s**4 - 12*s**2 - 16*s**3 - 10*s**3 + g*s**3.
-4*s*(s + 1)**3
Let q = 5504 - 5502. Let i(f) be the first derivative of -f**4 + 16/5*f**5 + 0*f + q*f**2 - 16/3*f**3 + 23. Factor i(k).
4*k*(k - 1)*(k + 1)*(4*k - 1)
Let o = -1760101/9 - -195569. Determine v, given that -1/9*v**3 - 13*v + 18 + o*v**2 = 0.
2, 9
Let g = -599380/21 - -28542. Let k(i) = i**3 - 6*i**2 + 5*i + 2. Let v be k(5). Factor -4/21*x**v - 2/21*x + 4/21*x**3 + 2/21*x**4 + g - 2/21*x**5.
-2*(x - 1)**3*(x + 1)**2/21
Let s(a) be the first derivative of a**6/27 + 32*a**5/15 - 35*a**4/3 - 184*a**3/27 + 211*a**2/3 + 104*a + 2897. Suppose s(x) = 0. What is x?
-52, -1, 3
What is i in -2608225/6 - 1/6*i**2 + 1615/3*i = 0?
1615
Let p(f) be the first derivative of f**7/252 - f**6/45 - f**5/40 + 5*f**4/36 + 2*f**3/9 - 213*f - 120. Let s(v) be the first derivative of p(v). Factor s(h).
h*(h - 4)*(h - 2)*(h + 1)**2/6
Let b(u) be the third derivative of 0*u**4 - 1/3*u**3 + 1/280*u**7 + 0 + 0*u**5 + 0*u - u**2 + 1/60*u**6. Let h(d) be the first derivative of b(d). Factor h(q).
3*q**2*(q + 2)
Let o(v) = 4*v**3 + 11*v**2 + 19*v + 19. Let s be ((-57)/38)/((-11)/(-8) + -1). Let l(c) = -c**3 - 3*c**2 - 6*c - 6. Let t(a) = s*o(a) - 14*l(a). Factor t(x).
-2*(x - 2)*(x + 1)*(x + 2)
Let c(s) be the first derivative of 2*s**5/55 + 63*s**4/22 - 130*s**3/11 + 197*s**2/11 - 12*s - 99. What is l in c(l) = 0?
-66, 1
Let n = -1406 - -1434. Let x(u) be the first derivative of 1/12*u**3 + n - u + 3/8*u**2. Factor x(o).
(o - 1)*(o + 4)/4
Let f = 398 + -396. Factor 119*u**2 - 38*u**2 - 96 - 46*u**f - 38*u**2 + 54*u.
-3*(u - 16)*(u - 2)
Let a(z) be the third derivative of -2*z**7/105 + 94*z**6/15 - 8443*z**5/15 - 6304*z**4 + 30720*z**3 + z**2 - 2023. Solve a(w) = 0 for w.
-5, 1, 96
Let m(q) = q**3 + 525*q**2 + 89793*q + 5177720. Let o(v) = 2*v**2 + 2*v + 1. Let d(u) = 4*m(u) - 12*o(u). Find k such that d(k) = 0.
-173
Let s = 22296 - 22051. Let h(u) be the first derivative of -35*u**2 + s*u + 5/3*u**3 + 25. Factor h(r).
5*(r - 7)**2
Let k(o) be the second derivative of o**6/15 - 9*o**5/10 - 101*o**4/6 - 57*o**3 - 80*o**2 + 1808*o. Factor k(i).
2*(i - 16)*(i + 1)**2*(i + 5)
Let r = 526471/1805208 + 2/75217. Let q(j) be the third derivative of 1/120*j**5 + 0*j - 1/3*j**3 - r*j**4 - j**2 + 0 + 7/480*j**6. Factor q(a).
(a - 2)*(a + 2)*(7*a + 2)/4
Suppose 0*s - 19 = -5*l + 2*s, -2*s - 10 = -2*l. Let j = 6947 + -6938. Factor 16*t + j*t**2 + 3*t**2 + 12*t**l + 2*t**4 + 12*t**2.
2*t*(t + 2)**3
Let s(q) = 5*q**3 + 49*q**2 - 47*q - 98. Let i(n) = 6*n**3 - n**2. Let m(x) = -2*i(x) + 2*s(x). Let m(j) = 0. What is j?
-1, 2, 49
Determine q so that 10/7 + 6/7*q**2 - 18/7*q + 2/7*q**3 = 0.
-5, 1
Suppose -98*y = -100*y - c + 9, -4*c = 3*y - 26. Let v be 3/(60/(-56)) - -3. Determine z so that -1/5*z**3 + v*z + 0*z**y + 0 = 0.
-1, 0, 1
Factor -2256*g**2 - 4241280*g - 2657868800 - 2/5*g**3.
-2*(g + 1880)**3/5
Let j(d) be the second derivative of -d**6/150 + 247*d**5/25 - 121523*d**4/30 - 16302*d**3 - 49005*d**2/2 + 428*d. Factor j(h).
-(h - 495)**2*(h + 1)**2/5
Let 104*d**2 + 4506*d - 2*d**4 - 84*d**3 - 184 + 2*d**2 - 2*d**4 - 4422*d + 82*d**2 = 0. Calculate d.
-23, -1, 1, 2
Let n = -157435 - -1416917/9. Factor -8/9*g**2 + 0 - n*g**3 + 10/9*g.
-2*g*(g - 1)*(g + 5)/9
Let b(f) = f**2 + 20*f + 54. Let n be (6 + -5)/(2/(-4)) - 15. Let w be b(n). Let w*z**4 + 0*z + 0 - 3/5*z**2 - 3/5*z**3 - 9/5*z**5 = 0. Calculate z.
-1/3, 0, 1
Let g(j) be the third derivative of -j**6/120 + 71*j**5/60 + 37*j**4/12 - 24*j**3 + 3984*j**2. Factor g(c).
-(c - 72)*(c - 1)*(c + 2)
Suppose 2*w = -4*g + 3*w + 3, -4*w = 3*g - 26. Factor 90*j**g + 214*j - 11*j**3 + 2*j**4 + 200 + 48*j**2 + 39*j**3 + 85*j - 19*j.
2*(j + 2)**2*(j + 5)**2
Suppose 0 = -947*k + 702*k. Solve 11/4*y**3 + 0*y + k - 3/2*y**4 + 1/2*y**2 = 0.
-1/6, 0, 2
Let s(m) be the second derivative of m**5/150 + 2*m**4/45 + m**3/45 - 2*m**2/5 + 787*m - 4. Factor s(i).
2*(i - 1)*(i + 2)*(i + 3)/15
Let x(r) be the first derivative of 47/2*r**2 - 33 + 0*r - 1/60*r**4 - 1/100*r**5 - 1/600*r**6 + 0*r**3. Let j(i) be the second derivative of x(i). Factor j(h).
-h*(h + 1)*(h + 2)/5
Let l = 20703 - 1180030/57. Let r = l + -1/19. Determine n so that 2/3*n**4 - 32/3*n - 16/3*n**2 - r*n**5 + 32/3 + 16/3*n**3 = 0.
-2, 1, 2
Let u = -2569277/7042 - -137/1006. Let l = -363 - u. Determine k, given that 4/7*k**4 - 20/7*k**3 + l*k**2 + 0*k + 4/7*k**5 + 0 = 0.
-3, 0, 1
Suppose -5*c = 2*r + 5, 2*r + 29 = 6*r - 3*c. Suppose -2*x - 194 = -3*p + p, -x = r*p - 479. Solve -22*a + 2*a + p*a**2 - 81*a**2 + 5 = 0.
1/3, 1
Solve -5*w**5 - 131311 + 944*w**3 + 0*w**5 + 3*w**5 + 4*w**2 + 468*w**4 + 130839 - 942*w = 0 for w.
-1, 1, 236
Factor 74*g - 748 + 678 + 2*g**2 - 142*g.
2*(g - 35)*(g + 1)
Find j, given that 62856*j**2 + 42602 - 362955*j - j**5 + 6918*j**3 + 237334 + 13035*j + j**5 + 2*j**5 + 208*j**4 = 0.
-36, 1, 3
Solve -1/7*i**4 + 152/7*i**2 - 27/7*i**3 - 36*i + 128/7 = 0.
-32, 1, 2
Let j(y) = y**3 - 7*y**2 - 4*y - 1. Let w be j(8). Factor 0*m - 4*m**4 - 193*m**3 + 153*m**3 - 24*m + w*m**2 + 180 - 143*m**2.
-4*(m - 1)*(m + 3)**2*(m + 5)
Let 10/7*m**5 - 14/3*m**4 - 16/21*m - 64/21 - 164/21*m**3 + 104/7*m**2 = 0. Calculate m.
-2, -2/5, 2/3, 1, 4
Suppose -3/7*o**3 - 330/7*o - 216/7 - 117/7*o**2 = 0. Calculate o.
-36, -2, -1
Let c be (1 + -5 + 1)/(-7). Suppose -27 = -2*t - 3*n, 4*t - 532*n = -536*n + 36. Factor 3/7*x**2 + t*x - c.
3*(x - 1)*(x + 1)/7
Let c = -105 - -109. Determine v so that -20*v - 3*v**3 + 2 + c + 16*v**2 + 2 - v**3 = 0.
1, 2
Let i(l) = -17*l**3 - 375*l**2 - 6435*l + 22791. Let w(k) = 10*k**3 + 225*k**2 + 3861*k - 13675. Let x(g) = 7*i(g) + 12*w(g). Factor x(h).
(h - 3)*(h + 39)**2
Find s, given that -3*s**3 + 4610*s**2 - 9293438 + 0*s**3 + 9311798 - 2*s**3 - 18380*s = 0.
2, 918
Determine w, given that 7*w**4 + 500*w + 160 - 5*w**5 + 535*w**2 + 6*w**4 + 32*w**4 - 40*w**4 + 205*w**3 = 0.
-4, -1, 8
Factor 624/5*x**2 - 51/5*x**3 + 676/5*x + 1/5*x**4 + 0.
x*(x - 26)**2*(x + 1)/5
Let o(l) = -11*l**4 + 185*l**3 + 1224*l**2 + 2544*l + 1708. Let d(s) = -6*s**4 + 93*s**3 + 612*s**2 + 1272*s + 852. Let n(a) = 5*d(a) - 3*o(a). Factor n(k).
3*(k - 36)*(k + 2)**3
Let m(q) = 6*q**2 + 726*q + 11127. Let d be m(-103). Determine f, given that -3/2 - 15/4*f + 63/4*f**2 - 57/4*f**d + 15/4*f**4 = 0.
-1/5, 1, 2
Suppose 3*k - 2*x = 6, k = -3*k + 4*x + 4. Suppose -y - 3*d = -8, -y + k*d - 2 = 4. Let 25*l**3 - 35*l**4 + 19*l**4 - 30*l**y + 21*l**4 = 0. What is l?
-6, 0, 1
Let v = 355 + -351. Suppose 2*w - a + v*a - 3 = 0, -w = -3*a - 6. What is c in -2/3*c - 8/3 + 2/3*c**w + 8/3*c**2 = 0?
-4, -1, 1
Let o(m) be the second derivative of -13/80*m**5 + 1/120*m**6 - 9*m**2 - 1/2*m**3 + 23/24*m**4 - 147*m + 0. Factor o(i).
(i - 6)**2*(i - 2)*(i + 1)/4
L