0. Let j(d) be the first derivative of 4/27*d**3 + 8 + 11/18*d**4 + g*d + 0*d**2. Factor j(a).
2*a**2*(11*a + 2)/9
Let o(r) be the first derivative of r**2 - 20*r + 58 - 1/2*r**4 + 20/3*r**3. What is j in o(j) = 0?
-1, 1, 10
Let j(g) be the first derivative of 1/3*g**4 + 0*g + 1/6*g**2 + 56 + 5/9*g**3. Factor j(q).
q*(q + 1)*(4*q + 1)/3
Let g be 208/3 - 20/60. Factor 15 - g*j + 34 - 13 - 11*j**2 + 5*j**2.
-3*(j + 12)*(2*j - 1)
Let f = -4471 + 44711/10. Let y(j) be the first derivative of 0*j - 2/15*j**3 + 0*j**4 - f*j**2 + 1/30*j**6 + 22 + 2/25*j**5. Solve y(b) = 0 for b.
-1, 0, 1
Find y, given that -57800/9 + 2/9*y**3 + 19040/3*y + 226/3*y**2 = 0.
-170, 1
Let j = -893 - -896. Suppose c + 6*l - 30 = 0, 4*l = j*c + 7 + 13. Find p, given that 0 - 6/13*p**3 - 2/13*p**4 + c*p + 8/13*p**2 = 0.
-4, 0, 1
Let u(m) = -2648*m - 23832. Let d be u(-9). Factor 0*k**2 - 1/3*k**5 + d + 0*k + 16/3*k**3 + 0*k**4.
-k**3*(k - 4)*(k + 4)/3
Let t(f) be the third derivative of f**5/690 - 1039*f**4/276 + 346*f**3/23 - 8191*f**2. Solve t(r) = 0.
1, 1038
Let y(k) be the third derivative of 2*k**7/105 + 209*k**6/30 + 721*k**5 - 3675*k**4/2 + 2*k**2 + 709. Factor y(l).
4*l*(l - 1)*(l + 105)**2
Let j(q) be the first derivative of q**6/6 - 7*q**5/10 + q**4/8 + 7*q**3/6 - 3*q**2/4 - 591. Find v, given that j(v) = 0.
-1, 0, 1/2, 1, 3
Let c(v) be the third derivative of v**6/480 + 103*v**5/240 - 209*v**4/96 + 35*v**3/8 - 1013*v**2. What is j in c(j) = 0?
-105, 1
Let x(y) be the first derivative of -29 - 16*y**2 + 5/6*y**4 + 0*y**3 + 1/12*y**5 + 0*y. Let w(q) be the second derivative of x(q). Factor w(z).
5*z*(z + 4)
Let w(o) = 3*o**4 - o**3 + o + 1. Let q(g) = -50*g**4 + 50*g**3 + 225*g**2 - 2390*g + 4985. Let l(h) = q(h) + 15*w(h). Factor l(f).
-5*(f - 5)**3*(f + 8)
Let i(f) be the second derivative of -f**6/3 - 17*f**5/5 + 7*f**4/6 + 115*f - 5. Factor i(w).
-2*w**2*(w + 7)*(5*w - 1)
Suppose -55*x**4 + 190*x**3 - 6*x**5 - 11*x**5 + 26*x**5 - 4*x**5 - 260*x**2 + 120*x = 0. Calculate x.
0, 1, 2, 6
Let c be (-7)/(-12)*(-830)/2905*3/(-2). Solve 0*q**2 + 0 + 7/2*q**3 + c*q**5 + 0*q - 9/4*q**4 = 0 for q.
0, 2, 7
Let p(t) be the second derivative of -t**5/20 + 3*t**4/4 - 17*t**3/6 + 23*t**2/2 + 67*t. Let g be p(7). Factor 10/3*k - g + 2/9*k**3 - 14/9*k**2.
2*(k - 3)**2*(k - 1)/9
Factor 2/3*m**2 + 0 + 56/15*m.
2*m*(5*m + 28)/15
Let r(b) = 3*b**3 + 54*b**2 + 487*b + 1152. Let c(t) = 4*t**3 + 53*t**2 + 488*t + 1153. Let s(a) = 2*c(a) - 3*r(a). Suppose s(n) = 0. Calculate n.
-46, -5
Let n(q) be the second derivative of 3*q**4/2 - 61*q**3/2 - 165*q**2/2 - 1027*q. Factor n(c).
3*(c - 11)*(6*c + 5)
Let m(w) be the first derivative of 5*w**4/4 - 185*w**3/3 + 810*w**2 - 1440*w - 10742. Factor m(t).
5*(t - 24)*(t - 12)*(t - 1)
Let s(o) = 6 - 18*o + 19*o**2 - 20*o**2 - 27. Let x be s(-15). Factor 9*j - 45*j + 8 - x*j**3 + 48*j**2 + 4*j**3.
-4*(j - 1)**2*(5*j - 2)
Factor 6149*t**3 - 649800*t**2 - 3869*t**3 + 0*t**4 + t**4 - 3*t**4.
-2*t**2*(t - 570)**2
Suppose 0 = -4*r - 4*c - 8, -c + 2*c = 5*r - 20. Let n be 7 - 5 - 0/r. Factor -2*z**3 + 4*z + 12*z**n + 5*z + 6*z**3 + 3*z + 4.
4*(z + 1)**3
Let q(x) be the second derivative of -x**4/60 - x**3/3 + 75*x**2/2 - 84*x + 10. Let q(h) = 0. What is h?
-25, 15
Determine k, given that 12/11*k**2 - 2/11*k**3 + 12/11 - 2*k = 0.
1, 2, 3
Suppose 4*x = -4*b - 4, -1083 = 2*x + b - 1086. Factor 636/7*n**2 + 10/7 + 1674/7*n**x + 216*n**3 + 648/7*n**5 + 128/7*n.
2*(3*n + 1)**4*(4*n + 5)/7
Let w = -1058017 + 17986297/17. Factor -2/17*g**3 - w*g**2 - 28/17 + 38/17*g.
-2*(g - 2)*(g - 1)*(g + 7)/17
Find c, given that -148/9*c**2 + 16*c**3 - 142/9*c + 4/9*c**4 - 2/9*c**5 + 16 = 0.
-8, -1, 1, 9
Let p(a) = 34*a**2 + a. Let l(s) = -169*s**2 - 4041*s + 4072324. Let r(v) = 4*l(v) + 20*p(v). Suppose r(d) = 0. Calculate d.
2018
Let q(d) be the second derivative of -d**5/140 + d**4/12 - 11*d**3/42 + 5*d**2/14 + 53*d + 8. Factor q(o).
-(o - 5)*(o - 1)**2/7
Let a be 6 + 91/26 + (-4465)/494. Factor 0 - 2/13*i**5 + 0*i**2 + 0*i - a*i**3 - 8/13*i**4.
-2*i**3*(i + 1)*(i + 3)/13
Let o be -7 - 1 - ((-102)/(-18) - 4)*(-924)/140. Let 2/11*t**5 + 24/11*t**4 - 190/11*t**o - 424/11*t + 144/11 + 444/11*t**2 = 0. What is t?
-18, 1, 2
Let h(w) = -w**3 + 7*w**2 - 11*w - 3. Let c be h(2). Let r be 2/c*75/(-20). Find s, given that -24 + 21/2*s**2 + 12*s + r*s**3 = 0.
-4, 1
Let p be (6/(-4))/(90/(-75)). Determine m so that 3 - p*m**2 - 2*m + 1/4*m**3 = 0.
-2, 1, 6
Factor -142/7*j**2 + 2/7*j**3 - 350 + 370*j.
2*(j - 35)**2*(j - 1)/7
Factor 144 - 3*s + 116 + 70 - 658*s**2 + 1321*s**2 - 666*s**2.
-3*(s - 10)*(s + 11)
Find d such that 46/5*d**2 + 2/5*d - 2/5*d**3 - 46/5 = 0.
-1, 1, 23
Let j(l) = -l**2 - l + 8. Let b be j(-3). Let c be (b/(-9) - 1120/(-180)) + -4. Factor -1/4*t + 1/8*t**c + 1/8.
(t - 1)**2/8
Suppose -56/13*z**3 + 56/13*z + 2/13*z**4 - 54/13 + 4*z**2 = 0. What is z?
-1, 1, 27
Let q(a) be the first derivative of 5*a**4/4 - 70*a**2 - 240*a - 878. Factor q(x).
5*(x - 6)*(x + 2)*(x + 4)
Let l(f) be the second derivative of -7*f**6/165 + f**5/11 + f**4/66 - 4*f**3/33 - 1652*f. Factor l(i).
-2*i*(i - 1)**2*(7*i + 4)/11
Suppose -h = i + 33, -4*h + 2*h = 5*i + 54. Let c = h - -39. Solve 2*z - 3 + 10*z - 3*z**c - 9 = 0.
2
Let w(b) be the second derivative of 5*b**4/12 + 405*b**3/2 + 605*b**2 + 10*b - 1. Factor w(h).
5*(h + 1)*(h + 242)
Factor 1/7*j**3 - 120/7 + 22/7*j**2 + 97/7*j.
(j - 1)*(j + 8)*(j + 15)/7
Let w(k) be the second derivative of -k**5/40 + 37*k**4/24 + 10*k**3/3 - 19*k**2 + 3305*k. Factor w(r).
-(r - 38)*(r - 1)*(r + 2)/2
Suppose 0 = 5*l - 2 - 23. Let u(q) = 2*q - 8. Let m be u(l). What is b in 11*b**m + 14*b**2 + 10*b**2 - 37*b**2 + 2*b**4 = 0?
-1, 0, 1
Let 64/5 - 2/5*n**5 - 26/5*n**3 + 64/5*n**2 - 4*n**4 + 136/5*n = 0. What is n?
-8, -2, -1, 2
Let x be (8/30)/(-20 - 61/(-3)). Factor 2/15*n**2 + 2/3 - x*n.
2*(n - 5)*(n - 1)/15
Let i(v) = 11*v**3 - 109*v**2 + 340*v - 224. Let a(x) = 9*x**3 - 108*x**2 + 336*x - 222. Let b(o) = 6*a(o) - 5*i(o). What is k in b(k) = 0?
-106, 1, 2
Let g(b) = -b**3 + 38*b**2 + 111*b - 1238. Let v be g(40). Factor -3/2*u + 0 - 23/4*u**v - 7/4*u**3.
-u*(u + 3)*(7*u + 2)/4
Let s(p) = 95*p**2 + 740*p - 897. Let n be s(3). Factor 66*r + 1/2*r**2 + n.
(r + 66)**2/2
Let q be ((-200)/(-15))/((16/(-12))/(-2)). What is j in 21*j**3 + 3*j**4 + j**2 - 38*j + 2 + 17*j - q + 14*j**2 = 0?
-6, -1, 1
Let t be (-6)/(-6) - (-16 + (-3)/1). Suppose 4 = -8*z + t. Solve x**2 - x**2 + 36*x + 10*x**z - 7*x**2 + 108 = 0.
-6
Let a(o) = 2*o**4 + 3. Let n(y) = 7*y**4 + 11*y**3 + 89*y**2 + 41*y - 123. Let q(j) = -5*a(j) + n(j). Suppose q(w) = 0. What is w?
-3, -2, 1, 23/3
Let g(c) = -40*c**2 + 119*c + 118. Let z(f) = -41*f**2 - f - 1. Let a(s) = -5*g(s) + 5*z(s). Factor a(y).
-5*(y + 1)*(y + 119)
Let u(s) be the second derivative of -8 + 0*s**4 + 0*s**2 - 1/80*s**5 + 6*s + 1/24*s**3. Determine j, given that u(j) = 0.
-1, 0, 1
Let x(t) = 5*t**4 + 5*t**3 + 40*t**2 - 35*t - 9. Let i(h) = -7*h**4 - 7*h**3 - 41*h**2 + 35*h + 12. Let l(a) = 3*i(a) + 4*x(a). Factor l(c).
-c*(c - 5)*(c - 1)*(c + 7)
Let l(t) be the third derivative of -t**6/576 + 11*t**5/960 + t**4/16 - 9*t**3 - 2*t**2 + 3. Let n(a) be the first derivative of l(a). Factor n(x).
-(x - 3)*(5*x + 4)/8
Suppose 5797*i - 5804*i + 14 = 0. Let o = -4/2259 - -162676/15813. Factor 4/7*q**i - o*q + 324/7.
4*(q - 9)**2/7
Let k be 17/6 - 2/(-12). Suppose 15 = 3*a - k*r, a + 0*a + 4*r = -10. Factor -6*o**a - 2*o**3 + 53 - 53.
-2*o**2*(o + 3)
Suppose 5*n - 5983 = 5*b + 6*n, -3*n - 4782 = 4*b. Let j be (228/b)/((-4)/6). Factor j*w**2 - 4/7*w + 4/7*w**3 + 0 - 2/7*w**4.
-2*w*(w - 2)*(w - 1)*(w + 1)/7
Factor 28*z**2 - z**5 + 8*z**4 - 23*z**3 + 0*z**5 + 1016*z - 1028*z.
-z*(z - 3)*(z - 2)**2*(z - 1)
Let i be -3 + (-126)/(-10) - (-2)/5. Suppose 9*o - i = 4*o. Factor -2 - 22 + 3*g**3 - 18*g**o + 171*g - 135*g.
3*(g - 2)**3
Let a(x) = -33*x + 66. Let c(k) = k**2 - k - 2. Let m(v) = a(v) - 3*c(v). Let m(q) = 0. Calculate q.
-12, 2
Suppose -184/3*l**4 + 0 + 4232*l - 2/9*l**5 + 184/3*l**2 - 38086/9*l**3 = 0. What is l?
-138, -1, 0, 1
Find t such that 224*t + 971417*t**3 + 212*t**2 - 6 - 4*t**4 - 4*t**5 + 86 - 971349*t**3 = 0.
-2, -1, 5
Let x(m) be the third derivative of -m**5/60 - 85*m**4/24 - 14*m**3 - 3753*m**2. Solve x(d) = 0.
-84, -1
Wh