 1/3*j**3 - 2/3*j**2 + k + 0*j = 0.
-2/3, 0, 1
Let l(p) be the first derivative of p**8/3360 - p**7/560 - p**6/720 + p**5/80 + p**3/3 + 117*p**2/2 - 30. Let i(y) be the third derivative of l(y). Factor i(k).
k*(k - 3)*(k - 1)*(k + 1)/2
Let r(c) be the third derivative of 1/30*c**5 + 0*c + 1/120*c**6 - 2 + 11*c**2 - 1/24*c**4 - 1/3*c**3. Factor r(p).
(p - 1)*(p + 1)*(p + 2)
Let x(g) be the third derivative of -g**5/20 - 887*g**4/4 - 786769*g**3/2 - 2*g**2 - 52*g + 1. Factor x(o).
-3*(o + 887)**2
Let c(g) be the second derivative of 64/3*g**4 - 83*g - 496/3*g**3 + 0 + 25/21*g**7 + 128*g**2 + 56/3*g**6 + 332/5*g**5. Let c(b) = 0. Calculate b.
-8, -2, 2/5
Let x(w) be the third derivative of -7*w**6/40 - 27*w**5/10 + 39*w**4/2 - 20*w**3 + 15*w**2 + 5*w. Suppose x(h) = 0. Calculate h.
-10, 2/7, 2
Let p = 26 + -13. Let k(v) = 4*v - 18. Let a be k(p). Let -4 + 13*r - 6*r**2 - a*r + 11*r = 0. What is r?
-1, -2/3
Suppose 0*z + 1 = q - z, -2 = -2*z. Factor -24*r**2 + 17*r - 42*r - 31*r + 20*r**q + 26 + 34.
-4*(r - 1)*(r + 15)
Suppose 2*x + 21 = q + 32, x = -3*q - 19. Factor 12 - 18*a - 4/3*a**2 + x*a**3.
2*(a - 3)*(a + 3)*(3*a - 2)/3
Let -55*l + 0 - 45/2*l**2 + 5/2*l**3 = 0. Calculate l.
-2, 0, 11
Let t(m) be the second derivative of -m**6/180 + 14*m**5/15 - 196*m**4/3 + 151*m**3/6 + m + 11. Let k(r) be the second derivative of t(r). Factor k(w).
-2*(w - 28)**2
Let w(a) = a**3 + 3*a**2 - 4*a - 10. Let i be w(-3). Let u(k) be the first derivative of -1/12*k**3 - 2*k + 3/4*k**i - 29. Let u(v) = 0. Calculate v.
2, 4
Let u be 4 + -10 + 3 + (59 - 0). Let c = u - 51. Determine f, given that -4*f - 30 + 2*f - 3*f + c*f**2 = 0.
-2, 3
Let b(j) be the first derivative of -j**3/18 - 7*j**2/12 + 13*j - 2386. Solve b(u) = 0.
-13, 6
Let g(c) be the second derivative of c**6/2340 - 3*c**5/65 + 17*c**3/6 + 5*c**2/2 - 61*c. Let y(l) be the second derivative of g(l). Factor y(q).
2*q*(q - 36)/13
Let s = 3715 - 148599/40. Let z(m) be the third derivative of -3/20*m**5 - 11*m**2 - 1/2*m**3 + s*m**6 + 3/8*m**4 + 0*m + 0. Factor z(f).
3*(f - 1)**3
Factor -3013 + 759*l - l**2 + 3157 - 752*l.
-(l - 16)*(l + 9)
Let d(l) = -l**3 - 5*l**2 - 18*l - 75. Let m be d(-5). Factor -b**3 - 2*b**4 + 7*b**3 - m*b**3 - b**4 - 3*b**3.
-3*b**3*(b + 4)
Let b(d) = -2*d + 17. Let a be b(7). Determine r, given that 13*r**4 + 2*r**5 + 2*r**4 + 8*r**2 - 3*r**2 + 3*r**5 + 15*r**a = 0.
-1, 0
Solve 20 - 204*y**3 - 75*y**2 + 292*y**3 + 2*y - 20 + 264*y**3 = 0.
0, 1/32, 2/11
Let y(n) be the second derivative of 5*n**7/42 - 7*n**6/3 + 29*n**5/4 + 130*n**4/3 + 50*n**3 + n - 194. Let y(r) = 0. Calculate r.
-1, 0, 6, 10
Factor -86/5*w**3 - 4/5*w**2 + 0*w + 0.
-2*w**2*(43*w + 2)/5
Factor -122/9*v**2 - 14*v**3 - 46/9*v**4 - 40/9*v + 0 - 2/9*v**5.
-2*v*(v + 1)**3*(v + 20)/9
What is w in 52/5*w**3 - 16/5*w**2 + 1/5*w**5 - 224/5*w - 208/5 + 17/5*w**4 = 0?
-13, -2, 2
Let a(b) be the first derivative of -11*b - 18 + 1/2*b**6 + 39/20*b**5 - 1/2*b**3 + 9/4*b**4 - 3*b**2. Let w(g) be the first derivative of a(g). Factor w(d).
3*(d + 1)**3*(5*d - 2)
Let h(l) = 6*l**4 + 180*l**3 + 585*l**2 - 33*l - 765. Let z(d) = -3*d**4 - 88*d**3 - 292*d**2 + 17*d + 381. Let o(s) = 5*h(s) + 9*z(s). Factor o(r).
3*(r - 1)*(r + 2)**2*(r + 33)
Let s(q) = -10*q**3 + 3*q**2 - 4*q - 10. Let j be s(-2). Suppose -137*v + j = -107*v. Factor -4/5*p + 4/5 - 3/5*p**2 + 4/5*p**v - 1/5*p**4.
-(p - 2)**2*(p - 1)*(p + 1)/5
Suppose -36 = -5*n + 2*n. Let x be (n/(-15))/(-1*4/10). Solve 4*q**3 + 2*q**2 - 6 + 37*q**4 - 4*q + 6*q**x - 39*q**4 = 0 for q.
-1, 1, 3
Let g = 65 + -54. Suppose 0 = -g*l + 2*l. Factor 0*k**2 + 0 + 3/4*k**5 + 3/4*k**4 + 0*k + l*k**3.
3*k**4*(k + 1)/4
Suppose -4662 = -0*t - 14*t. Let s = -1331/4 + t. Factor s*x**2 + 1/2*x + 0.
x*(x + 2)/4
Let 416*o**3 - 212*o**2 - 620/3*o**4 + 0 + 8/3*o = 0. Calculate o.
0, 2/155, 1
Let 22420*a**3 + 16845*a**2 - 22425*a + 24745*a**2 + 0*a**5 - 42250 + 0*a**5 + 660*a**4 + 5*a**5 = 0. Calculate a.
-65, -2, -1, 1
Suppose 0 = -85*c - 201*c + 89*c + 394. Let 15/7*k + 0 + 3/7*k**c = 0. Calculate k.
-5, 0
Let g(z) = -z**3 - 8*z**2 + 47*z - 12. Let m be g(-12). Suppose 2*t + 17 - 21 = m. What is r in -1/2*r**t + 1/2*r + 0 = 0?
0, 1
Let u = 12/25 + -58/225. Let l(o) = -2*o**3 + 58*o**2 + o - 27. Let z be l(29). Suppose 8/9*a - u*a**z + 8/9 - 2/9*a**3 = 0. Calculate a.
-2, -1, 2
Let w = 610/4221 - 1/603. Let h(q) be the first derivative of 3/7*q**2 + 9/7*q - w*q**3 - 8. Factor h(g).
-3*(g - 3)*(g + 1)/7
Let t = -27159/4 - -6790. Let w(n) be the first derivative of 0*n**4 + t*n**3 + 5 - 1/4*n**2 + 0*n - 1/20*n**5. Factor w(k).
-k*(k - 1)**2*(k + 2)/4
Let c = 8057/2 + -4028. Let i(v) be the first derivative of -1/4*v**4 + 23 - v**3 + 3*v + c*v**2. Determine y, given that i(y) = 0.
-3, -1, 1
Let s = -9944 + 9946. Let j = 38 + -36. Factor -1/3*v**j - s*v - 5/3.
-(v + 1)*(v + 5)/3
Let g(r) = r**3 - 6*r**2 - 40*r + 2. Let a be g(10). Let x be 6*(1/a + 0). Solve -4*c**x + 16/7*c + 0 + 48/7*c**2 = 0 for c.
-2/7, 0, 2
Let q(g) = -g**2 + 14*g - 28. Let t be q(3). Let k(w) = w**3 + w**2 - 2*w - 1. Let l(b) = -8*b**3 - 20*b**2 + 10*b + 5. Let i(y) = t*k(y) + l(y). Factor i(j).
-3*j**2*(j + 5)
Let w(i) be the first derivative of 5*i**4/4 - 15*i**3 + 60*i**2 - 100*i + 3472. Factor w(b).
5*(b - 5)*(b - 2)**2
Let p = 714 - 712. Let -4*u**3 + 13*u**2 + 14*u**p - 23*u**2 + 80*u = 0. What is u?
-4, 0, 5
Let u(j) be the first derivative of -j**5 - 1465*j**4/2 - 429245*j**3/3 - 2667. Factor u(o).
-5*o**2*(o + 293)**2
Let b = 25408/3 + -8236. Factor -5/3*g**3 + 110/3*g**2 - b*g + 1000/3.
-5*(g - 10)**2*(g - 2)/3
Let l(t) be the first derivative of -3*t**4/4 + 13*t**3 - 72*t**2 + 108*t - 1208. Let l(c) = 0. Calculate c.
1, 6
Let b = 24152/189 - 1784/27. Factor 792/7*u**2 + 428/7*u**3 + 72/7*u**4 + 4/7*u**5 - 864/7 - b*u.
4*(u - 1)*(u + 1)*(u + 6)**3/7
Factor 86*k**3 - 5472 - 2288*k + 216*k**2 + 92*k**3 + 82*k**3 - 264*k**3.
-4*(k - 38)*(k - 18)*(k + 2)
Factor -53/10*z**2 + 1/10*z**4 - 27/10*z - 5/2*z**3 + 0.
z*(z - 27)*(z + 1)**2/10
Let z(c) be the third derivative of -1/80*c**5 + 0*c + 1/280*c**7 + 1/480*c**6 + 1/1344*c**8 - 1/48*c**4 - 96*c**2 + 0*c**3 + 0. Factor z(n).
n*(n - 1)*(n + 1)**2*(n + 2)/4
Let -48*x**2 + 6*x**5 - 220/3*x**3 + 214*x**4 + 0*x + 0 = 0. Calculate x.
-36, -1/3, 0, 2/3
Let f(x) be the third derivative of -x**6/180 - 49*x**5/90 - 667*x**4/36 - 529*x**3/3 - 2*x**2 + 141*x. Factor f(n).
-2*(n + 3)*(n + 23)**2/3
Let g be (14098/(-63))/19 + 4/(-18). Let s be ((-8)/g)/(25/120). Suppose s + 0*q - 4/5*q**2 = 0. What is q?
-2, 2
Let s(c) be the third derivative of 1/6*c**4 + 0*c + 1/30*c**5 - 8/3*c**3 - 2*c**2 + 12. Factor s(h).
2*(h - 2)*(h + 4)
Let j(g) = 38*g**2 - 5486*g - 3803282. Let w(q) = 4*q**2 + 3*q. Let t(v) = 2*j(v) - 20*w(v). Let t(n) = 0. What is n?
-1379
Let p(o) be the second derivative of 2*o**5/35 + 6*o**4/7 + 5*o**3 + 100*o**2/7 - 6*o + 60. Factor p(d).
2*(d + 4)*(2*d + 5)**2/7
Let s = 140892 - 140892. Solve -14*q + s + 2/3*q**2 = 0 for q.
0, 21
Let w be (4 + 928/(-203))/(-4). Factor w*f**2 + 0 + f.
f*(f + 7)/7
Let q(k) be the first derivative of -k**5/20 + k**4 + 9*k**3/2 - 62*k**2 - 40. Let z(g) be the second derivative of q(g). Find i, given that z(i) = 0.
-1, 9
Suppose 21*o - 1 = 83. Suppose o = -f - 2*m, -f - 13 = -4*m - 27. Factor -72/5*h - 36/5*h**f - 8/5*h**3 - 54/5 - 2/15*h**4.
-2*(h + 3)**4/15
Let p(m) be the second derivative of 74/3*m**3 - 77/18*m**4 + 13/60*m**5 + 79 - 2*m + 12*m**2. Factor p(q).
(q - 6)**2*(13*q + 2)/3
Suppose -3*w + 7 = 2*f, -6*f = -4*w - 5*f + 24. Let c(i) be the second derivative of -1/3*i**3 - i + 1/6*i**4 + 0 + 0*i**2 - 1/15*i**6 + 1/10*i**w. Factor c(b).
-2*b*(b - 1)**2*(b + 1)
Let x(b) be the first derivative of -180 - 5/4*b**4 - 35*b**2 - 25*b**3 + 0*b. Find q such that x(q) = 0.
-14, -1, 0
Let f = 6321 + -582. Solve -5736*d**3 - 75*d + f*d**3 + 27 + 33*d**2 + 12 = 0 for d.
-13, 1
Let h be 72/34 - (-210)/(-1785). Find m such that -66*m - 57 + m**h - 6*m**2 - 58 - 54*m = 0.
-23, -1
Suppose i = -2*i + 3, -4*i = 3*s - 220. Let t = s - 69. Suppose 3*d**3 - 2*d - 5*d**t + 879 + 4*d**2 - 879 = 0. Calculate d.
0, 1
Let w(q) be the second derivative of -1/45*q**5 + 1/60*q**6 + 0 + 0*q**3 + 0*q**4 + 6*q**2 + 5*q. Let c(i) be the first derivative of w(i). Factor c(