**2 = 0. What is k?
-1, 0, 1
Solve 4*c**2 - 541956 + 887985 + 8427415 + 11848*c = 0 for c.
-1481
Let v(z) be the first derivative of -z**6/300 + z**5/15 - 23*z**4/60 + 14*z**3/15 + 39*z**2 - 2*z + 37. Let x(w) be the second derivative of v(w). Factor x(s).
-2*(s - 7)*(s - 2)*(s - 1)/5
Suppose 84 - 81*n - 18*n**4 - 3/4*n**5 + 327/4*n**3 - 66*n**2 = 0. What is n?
-28, -1, 1, 2
Suppose -c + 220*g - 217*g - 16 = 0, -5*g + 38 = 4*c. Determine d, given that 1/3*d**4 - 4/3 + d**c - 5/3*d + 5/3*d**3 = 0.
-4, -1, 1
Let x(n) = -n**3 - n**2 - 2*n - 6. Let h = -64 - -62. Let w be x(h). Factor 22*v - 20*v + 0*v**w - 3*v**2 + 5*v**2.
2*v*(v + 1)
Let n(l) be the third derivative of l**5/75 + 71*l**4/30 + 44*l**3 - 370*l**2 + 2. Factor n(j).
4*(j + 5)*(j + 66)/5
Let t(i) be the second derivative of -8*i**3 + 3/5*i**5 + 22/3*i**4 - 16*i**2 - 2/3*i**6 + 37*i + 0. Find h such that t(h) = 0.
-2, -2/5, 1, 2
Let f(k) be the second derivative of -k**4/66 + 26*k**3/11 + 79*k**2/11 + 115*k - 4. Solve f(n) = 0.
-1, 79
Suppose 0 = 3*f - 4*z - 18, -z = -3*f + 13 - 4. Factor -585 + 567 - 2*i**2 + 4*i**f.
2*(i - 3)*(i + 3)
Factor 9 + 1898482*v**2 - 1105696*v**2 + 3233059*v**2 + 761499*v**2 - 13128*v.
(2188*v - 3)**2
Let i be ((-48)/(-21) + -2)*(11220/(-1760) + 10 + -1). Suppose 9*o + 0 - i*o**2 = 0. What is o?
0, 12
Let r(n) be the second derivative of n**6/30 - n**5/3 - n**4 + 59*n**2/2 + 68*n. Let s(j) be the first derivative of r(j). Determine l so that s(l) = 0.
-1, 0, 6
Let u = 56 + -3. Solve 103*i**2 + 720 + 120*i - 45*i**2 - u*i**2 = 0 for i.
-12
Let a(f) be the third derivative of -5/4*f**4 + 2*f**2 + 1/240*f**5 + 150*f**3 + 23 + 0*f. Determine x, given that a(x) = 0.
60
Let u(o) = -184*o**2 + 10361*o - 6697735. Let n(g) = 204*g**2 - 10362*g + 6697734. Let q(w) = -9*n(w) - 10*u(w). Factor q(j).
4*(j - 1294)**2
Let 15704/3*q - 1696/3 - 143869/12*q**4 + 148489/6*q**3 + 1331/12*q**5 - 52618/3*q**2 = 0. What is q?
4/11, 1, 106
Factor 3*k**2 + 16486576 - 16486576 - 2931*k.
3*k*(k - 977)
Let z = -9081 + 9083. Let d(v) be the first derivative of -1/22*v**4 + 0*v**3 + 1/11*v**z + 1 + 0*v. Factor d(a).
-2*a*(a - 1)*(a + 1)/11
Let r be (-40)/(-32) - 4/16. Suppose -2 = 2*b, -r = 5*d - 0*b + b. Let d*j + 1/2*j**4 - j**3 + 0*j**2 + 0 = 0. What is j?
0, 2
Let r be 246 + 10 + (-12)/(-3) - -1. Factor -4*l**4 + 101*l - 124*l**2 - 24*l**2 + l**3 - 41*l**3 - r*l - 64 + 16*l**2.
-4*(l + 1)**2*(l + 4)**2
Find c such that -1816/7*c + 3456/7 + 4/7*c**3 + 36/7*c**2 = 0.
-27, 2, 16
Let y(f) be the first derivative of -1/2*f**2 - 10 - 1/8*f**4 - 1/2*f**3 + 0*f. Find k, given that y(k) = 0.
-2, -1, 0
Let a(r) be the second derivative of r**5/10 + 11*r**4/2 - 12*r**3 - 68*r**2 + 640*r. Let a(k) = 0. Calculate k.
-34, -1, 2
Suppose -5*z + 4*z - 15 = -5*s, 4*s - 4*z - 28 = 0. Factor 16 + 7*l + 7*l**2 - 4*l**2 + l - 2*l**s.
(l + 4)**2
Let u be ((-396)/220)/((-6)/10). Let w be 184/46 - ((-4)/2 + u). Factor -12/5*d**2 - 2/5*d**w - 22/5*d - 12/5.
-2*(d + 1)*(d + 2)*(d + 3)/5
Determine k so that 1/2*k**2 - 1/4 - 1/2*k**5 - 1/4*k**4 - 1/2*k + k**3 = 0.
-1, -1/2, 1
Suppose 0 = p - 3*z + 6, 7*z - 5*z - 6 = 0. Determine j, given that 9*j**2 + 21*j**3 - 44*j**2 - 42*j + 21*j**3 + 32*j**2 + p*j**4 = 0.
-14, -1, 0, 1
Let h = 14584 + -14560. Let o(v) be the second derivative of 0 + 1/24*v**4 - 1/4*v**2 - 1/12*v**3 + 1/40*v**5 - h*v. Find l, given that o(l) = 0.
-1, 1
Let z(l) be the third derivative of 1/21*l**4 + 4/35*l**5 + 0*l + 2/147*l**7 + 6 + 1/15*l**6 - 2*l**2 - 2/21*l**3. Factor z(f).
4*(f + 1)**3*(5*f - 1)/7
Let i(l) = -l**2 - 7*l + 55. Let n be i(5). Let r(k) = 13*k**2 + 3*k + 5. Let p(j) = 19*j**2 + 4*j + 7. Let h(q) = n*p(q) + 7*r(q). Factor h(c).
-c*(4*c - 1)
Suppose 17*s + 2115 = 62*s. Let t = s + -44. Factor -4/7*f**4 - 4*f**t - 80/7*f - 32/7 - 72/7*f**2.
-4*(f + 1)*(f + 2)**3/7
Let a(r) be the first derivative of r**4 + 8*r**3 - 26*r**2 - 168*r - 181. Factor a(x).
4*(x - 3)*(x + 2)*(x + 7)
Factor 28182*a - 1764 + 4*a**3 + 2687/4*a**2.
(a + 84)**2*(16*a - 1)/4
Let n(z) be the first derivative of -2*z**3/15 - 209*z**2/5 + 80. Factor n(d).
-2*d*(d + 209)/5
Suppose 8*n + 43 = 67. Factor 3*a**4 - 102*a**3 - 24*a**2 + 211*a**3 - 103*a**n.
3*a**2*(a - 2)*(a + 4)
Let b = 79369 + -158735/2. Find m such that 3/4*m**3 + b*m**2 + 0 - 1/4*m**4 - 2*m = 0.
-2, 0, 1, 4
Let v(u) be the second derivative of u**4/12 + 31*u**3/6 - 156*u**2 - 14*u - 3. Suppose v(m) = 0. Calculate m.
-39, 8
Let k(j) be the third derivative of 0 + 0*j - 2/25*j**5 + 61*j**2 - 1/1050*j**7 - 8/15*j**3 - 1/75*j**6 - 4/15*j**4. Factor k(b).
-(b + 2)**4/5
Let t(p) = -p**2 - 5*p + 32. Let a = -57 - -49. Let u be t(a). Let -4*h + 3*h - u*h**3 - 2*h**2 + 7*h**3 = 0. Calculate h.
-1, 0
Let a(z) = 30*z**2 + 10861*z + 11013. Let g(j) = 32*j**2 + 10862*j + 11026. Let t(b) = 14*a(b) - 13*g(b). Suppose t(i) = 0. Calculate i.
-2711, -1
Let x(z) = z**2 - 3*z - 7. Let c be x(5). Factor 2*o**5 - 157*o - o**5 - 2*o**c + 158*o.
o*(o - 1)**2*(o + 1)**2
Solve -972/5 + 3876/5*o - 15*o**4 - 1167/5*o**2 - 1218*o**3 = 0.
-81, -1, 2/5
Let w(x) = -x**3 + 8*x**2 + 5*x + 24. Let a be w(8). Let r = a + -59. Factor 20*h**3 - 234*h**5 - 151*h**5 - 44*h**4 - r*h**4 + 9*h**4.
-5*h**3*(7*h + 2)*(11*h - 2)
Let p be (-1070)/(-15)*10/20 + -7. Determine h so that -p - 20/3*h**2 + 223/3*h = 0.
2/5, 43/4
Let q(s) be the second derivative of s**6/135 + 11*s**5/30 + 173*s**4/27 + 340*s**3/9 - 1400*s**2/9 + 3369*s. Suppose q(u) = 0. What is u?
-14, -10, 1
Let m(g) be the third derivative of -g**7/3780 + 7*g**6/1080 + g**5/10 + 19*g**4/8 - 4*g**2 + 19*g. Let a(l) be the second derivative of m(l). Factor a(f).
-2*(f - 9)*(f + 2)/3
Let a(l) = -9*l**4 - 31*l**3 + 132*l**2 - 180*l + 68. Let s(u) = -11*u**4 - 31*u**3 + 131*u**2 - 179*u + 66. Let w(j) = 6*a(j) - 5*s(j). Factor w(h).
(h - 26)*(h - 3)*(h - 1)**2
Let s(x) be the second derivative of x**6/60 - 7*x**5/40 + x**4/2 + x**3/3 - 4*x**2 + 14*x - 3. Solve s(o) = 0.
-1, 2, 4
Let i(n) be the second derivative of n**5/20 + n**3/6 + n**2/2 + 83*n. Let r(o) = -8*o**3 - 4*o**2 - 12*o - 12. Let u(d) = -12*i(d) - r(d). Factor u(w).
-4*w**2*(w - 1)
Let b(u) be the second derivative of -1/4*u**4 - 13/2*u**3 - 33*u**2 + 78*u + 0. Factor b(j).
-3*(j + 2)*(j + 11)
Let w(o) be the first derivative of -o**5/110 - o**4/22 + 3*o**3/11 + 27*o**2/11 + 73*o - 133. Let n(c) be the first derivative of w(c). Factor n(f).
-2*(f - 3)*(f + 3)**2/11
Suppose -3*n + 9 = 0, 2*z - z - 2*n - 446 = 0. Let l = 455 - z. Factor 0*t + 2/9*t**2 + 0 - 8/9*t**l + 2/3*t**4.
2*t**2*(t - 1)*(3*t - 1)/9
Let c = 43283 + -43279. Factor -42/11*v**2 + 0 + 54/11*v**3 + 12/11*v - 30/11*v**c + 6/11*v**5.
6*v*(v - 2)*(v - 1)**3/11
Let v(o) = 3*o**2 + 85*o - 88. Let h(q) = -102*q - 15*q**2 + 50 - 239*q + 391 - 85*q. Let c(m) = -5*h(m) - 24*v(m). Let c(x) = 0. What is x?
-31, 1
Suppose 0 = 7*t + 11481 - 3494. Let z = t - -1146. Factor -j**2 + 0 + 1/2*j**z - 3/2*j**3 + 0*j + 0*j**4.
j**2*(j - 2)*(j + 1)**2/2
Let x(c) be the second derivative of c**7/42 + 44*c**6/15 + 2021*c**5/20 + 1849*c**4/6 + 12*c - 21. Find q such that x(q) = 0.
-43, -2, 0
Factor -350*o + 5/4*o**2 - 1405/4.
5*(o - 281)*(o + 1)/4
Suppose r + 5*r = 84. Find o such that 27*o**2 - 13*o - 63*o + r*o**2 - 13*o**2 - 24 = 0.
-2/7, 3
Find j such that -1194/7 + 1/7*j**2 - 85*j = 0.
-2, 597
Let s(w) = w**2 - 7*w + 19. Let c be s(8). Suppose 6*p = c*p. Factor -15/2*q**2 - 6*q**3 + p - 3/2*q**4 - 3*q.
-3*q*(q + 1)**2*(q + 2)/2
Let d(y) be the second derivative of y**5/70 + 461*y**4/42 + 17160*y**3/7 - 54756*y**2 - 87*y - 15. Factor d(x).
2*(x - 7)*(x + 234)**2/7
Let -2/7*z**2 - 2742482/7 + 4684/7*z = 0. Calculate z.
1171
Factor -4/3*y**2 - 152/3*y - 148/3.
-4*(y + 1)*(y + 37)/3
Let x(w) be the first derivative of 0*w**3 - 17 - 4*w + 1/9*w**4 + 1/45*w**6 + 0*w**2 - 1/10*w**5. Let y(a) be the first derivative of x(a). Factor y(t).
2*t**2*(t - 2)*(t - 1)/3
Solve -2/9*p**2 + 0 + 674/9*p = 0 for p.
0, 337
Let k(w) = 2*w**2 - 3. Let r(d) = -d**4 - 5*d**3 - 9*d**2 + 5*d + 15. Let n(y) = 5*k(y) + r(y). Factor n(u).
-u*(u - 1)*(u + 1)*(u + 5)
Let l(b) be the first derivative of 2*b**3/3 - 669*b**2 - 1340*b - 2188. Find n, given that l(n) = 0.
-1, 670
Let t be 18/(-45) - 621/(-15). Solve 45*z**4 + 75*z**2 + t*z**4 + 15*z**3 + 0 