et b(w) be the second derivative of 185/48*w**4 - 14*w + 45/2*w**2 + 0 - u*w**3 - 5/8*w**5 + 1/24*w**6. Factor b(s).
5*(s - 3)**2*(s - 2)**2/4
Suppose 3*x = 1314*u - 1310*u - 11, 4 = u - 2*x. Determine l so that -u*l**2 - 12/11 - 34/11*l = 0.
-1, -6/11
Let y(l) be the third derivative of l**6/1800 + l**5/30 + 15*l**3/2 - 9*l**2 + 2*l. Let d(v) be the first derivative of y(v). Solve d(n) = 0 for n.
-20, 0
Let g = 35 + -32. Suppose 5*z = g*z + 6. Suppose 3*l**4 - z*l**3 - 9*l**5 - l**3 + 7*l**5 + 3*l**4 = 0. What is l?
0, 1, 2
Suppose 4500 - 255/2*t - 5/2*t**2 = 0. Calculate t.
-75, 24
Let l = 48 + -55. Let w = l - -19. Find a, given that 13*a**2 - w*a - 10 + 3*a**4 - 2*a**4 - 6*a**3 + 19 - 5 = 0.
1, 2
Suppose -325*p - 455*p = 4*p - 120*p. What is d in 0 - 4/3*d**3 + 4*d**2 + p*d - 4*d**4 + 4/3*d**5 = 0?
-1, 0, 1, 3
Let o(q) be the first derivative of -4*q**3/3 - 34*q**2 - 280*q + 225. Factor o(z).
-4*(z + 7)*(z + 10)
Suppose -208370*q**3 + 416742*q**3 - 208370*q**3 + 52*q - 30*q**2 = 0. Calculate q.
0, 2, 13
Let f(d) be the first derivative of 1/4*d**2 + 220 + 4/9*d**3 + 0*d - 1/8*d**4. Suppose f(j) = 0. Calculate j.
-1/3, 0, 3
Suppose -9*o - 290 = -3*o - 314. Let -12/5 + 9/5*v**o + 21/5*v**2 + 12/5*v - 6*v**3 = 0. Calculate v.
-2/3, 1, 2
Suppose -2*n - 20 = -16*v + 11*v, 5*v - 7*n - 20 = 0. Factor 0*c**2 + 2/15 - 2/15*c**v + 4/15*c - 4/15*c**3.
-2*(c - 1)*(c + 1)**3/15
What is a in 470 + 84*a - 368*a**2 + 733*a**2 - 367*a**2 = 0?
-5, 47
Suppose f - 7 = -j, 5*f + 0*j = 4*j + 26. What is s in 51 - f*s**2 - 113 + 52 - 2*s**3 + 18*s = 0?
-5, 1
Let y be 4 + (-44)/10 - 36/10. Let s be (y/18 + 141/513)*2. Let 4/19*c**2 + 0 + s*c**3 + 2/19*c = 0. What is c?
-1, 0
Suppose 69632/7*l**2 + 1040/7*l**3 + 262144/7*l + 0 + 4/7*l**4 = 0. Calculate l.
-128, -4, 0
Let r = -51 - -45. Let b be (3 + -4)/(2/r). Determine o so that o**b + 15*o**3 + 4*o**2 + 10*o**3 = 0.
-2/13, 0
Let u be (-24)/(-120) + 89/5. Suppose u*a**4 + a**3 - 17*a**4 - a - 2*a**4 + a**2 = 0. Calculate a.
-1, 0, 1
Suppose 2*t + h = 10, 4*t + 53 = -4*h + 77. Suppose g = 4*d - 12 + 6, -t*g + 12 = 2*d. Let 2/3*b + 1/3*b**5 + 0 - 5/3*b**4 + 3*b**3 - 7/3*b**d = 0. Calculate b.
0, 1, 2
Suppose 84*u = 78*u. Factor u*d**2 + 5 + 4*d - 7 - 3*d**2 + d.
-(d - 1)*(3*d - 2)
Suppose -5*r = -3*x - 2*x - 15, 0 = x + 3*r - 17. Find o, given that 505*o**5 + 19 - 127 + 14448*o**3 - 84 - 8036*o**4 - 8768*o**x + 2176*o + 867*o**5 = 0.
2/7, 2, 3
Let q(b) be the first derivative of -45 - 14/9*b**3 - 4/3*b - 3*b**2. Factor q(n).
-2*(n + 1)*(7*n + 2)/3
Let t(f) be the first derivative of -f**6/540 + f**5/90 - f**4/36 - 7*f**3/3 - f**2/2 + 18. Let q(p) be the third derivative of t(p). Let q(k) = 0. Calculate k.
1
Suppose 13134*a - 13126*a = 24. Let r(h) be the second derivative of 0*h**2 + 0*h**5 - 1/80*h**6 + 0*h**a + 0*h**4 - 1/112*h**7 + 0 + 15*h. Solve r(q) = 0.
-1, 0
Let r be 0 + -4 + (-1920)/(-564). Let x = -205/423 - r. Determine b, given that -x*b - 5/9*b**3 - 8/9*b**2 + 2/9 = 0.
-1, 2/5
Let n = 852 + -3403/4. Let f(z) be the first derivative of 0*z - 7/24*z**6 - 1/3*z**3 + 0*z**2 - 12 - 23/20*z**5 - n*z**4. Solve f(g) = 0.
-2, -1, -2/7, 0
Solve -1575/4*a - 3/8*a**2 - 826875/8 = 0.
-525
Let r(a) = 2*a**5 - 102*a**4 - 69*a**3 + 47*a**2 + 54*a. Let k(s) = s**5 + 2*s**4 - s**3 - 2*s**2 - 7*s. Let j(u) = -6*k(u) - r(u). Let j(q) = 0. Calculate q.
-1, -1/4, 0, 1/2, 12
Let u be ((-2)/(-8)*-15)/(((-40)/28)/((-3040)/(-1330))). Factor 0 + u*o**2 + 0*o + 6/11*o**3.
6*o**2*(o + 11)/11
Let u(o) be the third derivative of -o**7/84 - o**6/60 + o**5/30 + 22*o**3/3 + 90*o**2. Let z(c) be the first derivative of u(c). Let z(w) = 0. Calculate w.
-1, 0, 2/5
Suppose 0 = -341*s + 122*s + 1998 - 246. Solve -26*c**3 - 14*c**2 + 32/3*c + s + 2*c**5 - 22/3*c**4 = 0 for c.
-1, 2/3, 6
Let g(u) be the second derivative of u**7/1680 + 3*u**6/80 - 16*u**4/3 + 4*u + 6. Let x(d) be the third derivative of g(d). Factor x(c).
3*c*(c + 18)/2
Let g = -2089 + 2089. Let f(b) be the third derivative of -11*b**2 - 1/8*b**4 + 0*b + g*b**3 + 1/20*b**5 + 0. Solve f(m) = 0 for m.
0, 1
Let r be 12*2*(328/288)/(-41)*-4. What is m in r*m - 20/3*m**2 + 1/3*m**5 + 0 - 7/3*m**4 + 6*m**3 = 0?
0, 1, 2
Let c(m) = 2*m**2 - 12*m + 53. Let f be c(9). Suppose -f = -22*j - 41. Factor -1/3*d**j - 121*d + 1331/3 + 11*d**2.
-(d - 11)**3/3
Let j(w) be the first derivative of w**4/18 - 5*w**3/3 - 16*w**2/3 + 52*w + 69. Let h(a) be the first derivative of j(a). Factor h(r).
2*(r - 16)*(r + 1)/3
Solve 164*q**3 - 880/3*q**2 - 12*q**4 - 704/3 - 624*q = 0.
-2/3, 4, 11
Let h(a) be the third derivative of -a**6/1440 - 7*a**5/240 - 13*a**4/96 + 2*a**3/3 + 62*a**2. Let i(g) be the first derivative of h(g). Factor i(l).
-(l + 1)*(l + 13)/4
Factor -23878*t**2 - 46*t - 102*t + 23879*t**2.
t*(t - 148)
Factor -68/7*j**3 - 2/7*j**5 - 22/7*j**4 - 58/7*j - 2 - 92/7*j**2.
-2*(j + 1)**4*(j + 7)/7
Let q(r) be the second derivative of -1/6*r**5 + 79/54*r**4 + 100/9*r**2 - 55/9*r**3 + 1/135*r**6 + 13 + 3*r. Solve q(o) = 0.
1, 4, 5
Let m(k) be the third derivative of 1/12*k**5 + 0*k + 5/3*k**3 - k**2 + 5/8*k**4 - 19. Find b, given that m(b) = 0.
-2, -1
Let o(q) be the first derivative of 5*q**4/4 - 20*q**3 + 1280*q - 957. Determine p so that o(p) = 0.
-4, 8
Factor -36/19 + 546/19*f + 92/19*f**2.
2*(f + 6)*(46*f - 3)/19
Let k(i) be the second derivative of i**4/78 + 7*i**3/39 - 170*i**2/13 - 3*i - 2009. Find s such that k(s) = 0.
-17, 10
Let i(x) be the second derivative of x**4/6 + 209*x**3/3 + 208*x**2 - 1031*x. Factor i(r).
2*(r + 1)*(r + 208)
Suppose 64*n - 91 + 13 = -14. Suppose -c + 21 = -22. Factor 2*t**3 - 40*t**2 + n + c*t**2 - t**3 + 3*t.
(t + 1)**3
Let y = -488 - -490. Let -5*r**y + 13*r**3 - 2*r**2 - 5*r**3 + 8*r - 13*r**2 + 4*r = 0. What is r?
0, 1, 3/2
Let i(d) = -d**3 - 8*d**2 + 8*d - 11. Let f be i(-9). Let m be f/2*24/(-6). What is c in 6*c**2 - 75*c**4 - 4 + 151*c**4 + 2*c**2 - 80*c**m = 0?
-1, 1
Let i = -506 - -176. Let z = i + 3002/9. Suppose -4/9*b**2 - 64/9 - z*b = 0. Calculate b.
-4
Let z be (2 - 16/18)/((-12385)/(-14862)). Factor 50/3*b + z*b**2 + 8.
2*(b + 12)*(2*b + 1)/3
Determine j, given that -1658/3*j + 77/6*j**3 + 647/3*j**2 + 140 = 0.
-210/11, 2/7, 2
Suppose 10*n - 9*n + 5*k = -71, -305 = 4*n - k. Let z be n/66 - (112/(-42))/2. Factor 0*o - z + 2/11*o**2.
2*(o - 1)*(o + 1)/11
Let d = 590251/4 - 147560. Determine u, given that 3/2*u + d*u**2 + 0 + 3/4*u**3 = 0.
-3, -2/3, 0
Suppose -145 + 65 = -g. Factor 293120*f**2 - 293140*f**2 - 5*f**3 + 22*f - 2*f + g.
-5*(f - 2)*(f + 2)*(f + 4)
Let d(r) be the first derivative of -5*r**4/2 - 82*r**3/5 - 18*r**2 + 16*r/5 - 1896. Determine t, given that d(t) = 0.
-4, -1, 2/25
Suppose 42*t = 23 + 61. What is x in x**5 + 3*x**4 - 166*x**3 - 13*x**t - 7*x + 13*x - 2*x**5 + 173*x**3 - 2*x**4 = 0?
-3, 0, 1, 2
Let f be 40/(-60)*(1 + -4). Let i be f + (3/(-2)*-2 - 1). Let 4*n**2 + 42 + 36 - 78 - i*n = 0. What is n?
0, 1
Let m(w) be the first derivative of -w**6/8 + 3*w**5/4 + 21*w**4/8 - 12390. Find p, given that m(p) = 0.
-2, 0, 7
Solve -683*d**3 - 2692*d + 8824*d**2 - 1951 - 1184*d**4 + 11*d**5 + 391 - 37*d**5 - 2677*d**3 - 2*d**5 = 0.
-39, -5, -2/7, 1
Let q(r) be the third derivative of r**8/168 - 2*r**7/105 - 7*r**6/60 + 2*r**5/3 - r**4 - r**2 - 395*r. Solve q(l) = 0.
-3, 0, 1, 2
Let p be ((-1)/4 + (-39)/52)*(-2 + -6). Let z(k) be the second derivative of 1/30*k**4 - 2/5*k**3 + 0 + p*k + 0*k**2. Suppose z(v) = 0. What is v?
0, 6
Let w(p) be the third derivative of p**5/300 + 233*p**4/30 + 108578*p**3/15 - 14*p**2 - 9. Find a such that w(a) = 0.
-466
Let c(b) = b**4 + 130*b**3 + 847*b**2. Let m(d) = 2*d**4 - d**2. Let i(x) = c(x) + 2*m(x). Factor i(t).
5*t**2*(t + 13)**2
Let l(v) = -v**2 - 473*v + 473*v. Let h(c) = 5*c**2 - 5*c + 30. Let f(k) = -h(k) - 10*l(k). Factor f(i).
5*(i - 2)*(i + 3)
Factor -7/3*r**2 + 1/9*r**4 + 20/9 + 19/9*r - 19/9*r**3.
(r - 20)*(r - 1)*(r + 1)**2/9
Let q = 82209 - 82209. Determine n so that -3/4*n**4 - 9/4*n**3 + 1/4*n**5 + q + 0*n - 5/4*n**2 = 0.
-1, 0, 5
Factor 3/4*r**2 - 441/2 - 129/4*r.
3*(r - 49)*(r + 6)/4
Let z = 1518 - 1508. Let j be 12*(-2)/12 + 48/z. What is h in 14/5*h**4 + 0 + 2*h**5 - j*h**2 - 4/5*h - 6/5*h**3 = 0?
-1, -2/5, 0, 1
Let c = 1023452/3 + -341150. Factor 4*x + c*x**2 - 32/3.
2*(x -