 + n*j - 6*j**4 + 21/5*j**5 + 4/3*j**3 + 49/6*j**6 + 1. Factor k(i).
i**2*(i + 1)*(7*i - 2)**2
Factor 18621*a - 12*a**3 - 963*a**2 - 4160 - 640 - 38061*a.
-3*(a + 40)**2*(4*a + 1)
Let n(v) be the first derivative of -v**6/30 + 3*v**5/25 + v**4/20 - v**3/5 - 81. Determine w, given that n(w) = 0.
-1, 0, 1, 3
Suppose 40/3*q**2 + 34*q + 0 + 2/3*q**3 = 0. Calculate q.
-17, -3, 0
Let u(j) = 3*j + 98. Let a(c) = c + 33. Let q(w) = 11*a(w) - 4*u(w). Let v be q(-35). Determine s, given that -30*s + 50 + v*s**2 - 2/5*s**3 = 0.
5
Let x(h) be the second derivative of h**10/6048 - h**8/672 + h**6/144 - 13*h**4/12 + 15*h. Let r(p) be the third derivative of x(p). Factor r(g).
5*g*(g - 1)**2*(g + 1)**2
Let f(k) be the third derivative of -k**6/480 - k**5/30 - 13*k**4/96 - k**3/4 + 31*k**2 + k. Find y such that f(y) = 0.
-6, -1
Suppose -2*t - 2*u + 1138 = 0, 4*t - 2344 = 2*u - 50. Let r = t - 6288/11. Let r*l**2 - 10/11*l**4 - 14/11*l**3 + 0 + 0*l + 8/11*l**5 = 0. Calculate l.
-1, 0, 1/4, 2
Let s be 57/132 - 52/286. Let a be (6/8)/(15/10). Determine d, given that 3/4*d + s*d**2 + a = 0.
-2, -1
Let r = 1085/2882 - 51/262. Let 2/11 - 2/11*i + r*i**3 - 2/11*i**2 = 0. Calculate i.
-1, 1
Let h be (-36)/(-45)*(27 - 24). Suppose -12/5*s - 4/5*s**3 - 4/5 - h*s**2 = 0. Calculate s.
-1
Factor 13*d + 11*d - 67 - 26*d**2 + 2*d**3 + 67.
2*d*(d - 12)*(d - 1)
Let l be 4/6 - (-57)/9. Suppose l = h + 2. Factor -s + 8*s - 2*s**3 - h*s.
-2*s*(s - 1)*(s + 1)
Let -9*m**3 - 35 + 6*m**4 + 13 - 84*m**2 - 99*m - 5 - 3 = 0. Calculate m.
-2, -1, -1/2, 5
Determine y, given that -2/9*y**3 + 0 + 0*y - 40/9*y**4 + 40/9*y**2 + 2/9*y**5 = 0.
-1, 0, 1, 20
Suppose -3 = -z + 5*t - 1, 0 = 4*z + t - 8. Factor j - 3/2*j**2 - 1/4*j**3 + 1/4*j**4 + z.
(j - 2)**2*(j + 1)*(j + 2)/4
Let b be 1/4 + (-220)/(-80). Find y, given that -2*y + 2*y**2 + y + 4*y - 2*y**b + y = 0.
-1, 0, 2
Suppose -s = -3*s + 6. Suppose m + 4 = s*m. Factor -3*r**2 + 4*r**3 + 12*r**2 - m*r**2 - 2*r.
r*(r + 2)*(4*r - 1)
Let y be (-3)/(-42)*-142 + 11. Factor -9/7*a**2 + 0 - y*a - 3/7*a**3.
-3*a*(a + 1)*(a + 2)/7
Factor -16/5*o - 16/5*o**2 + 0*o**3 + 0 + 4/5*o**4 + 1/5*o**5.
o*(o - 2)*(o + 2)**3/5
Find a, given that -2/11*a**3 + 2/11*a - 2/11*a**2 + 0 + 2/11*a**4 = 0.
-1, 0, 1
Solve -2/11*v**4 + 0 + 0*v - 2/11*v**2 - 4/11*v**3 = 0 for v.
-1, 0
Suppose -112 - 743 = -232*o + 305. Factor 5*k + 0 - o*k**3 - 5/2*k**2 + 5/2*k**4.
5*k*(k - 2)*(k - 1)*(k + 1)/2
Let b(p) be the first derivative of -7*p**6/27 - 32*p**5/45 + 17*p**4/18 + 68*p**3/27 - 20*p**2/9 - 16*p/9 + 114. Let b(z) = 0. What is z?
-2, -2/7, 1
Let a be (-92 - (-1 + 0))/(-1). Factor 28*k - a*k**2 + 0 + 4*k**3 + 59*k**2 + 0.
4*k*(k - 7)*(k - 1)
Factor -1/5*f**2 - 8*f - 39/5.
-(f + 1)*(f + 39)/5
Let c(t) = -t**3 - 8*t**2 + 8*t - 7. Suppose 4 = -d - 5*z, 2*d - 42 = 7*d + 3*z. Let m be c(d). Solve 2*f**2 + f**3 - 3*f**2 + 3*f**m + f = 0 for f.
-1, 0
Factor 33*i**3 - 14*i**2 - 10*i**2 - 3*i**4 + 135*i - 87*i**2 + 10356 - 10410.
-3*(i - 6)*(i - 3)*(i - 1)**2
Let f(x) be the second derivative of x**5/45 - 3*x**4/2 + 280*x**3/9 - 400*x**2/9 + 150*x. What is u in f(u) = 0?
1/2, 20
Let t(g) = -g**2 + 695*g + 4. Let b be t(0). Find l, given that 0 + 0*l + l**3 + 1/3*l**b + 2/3*l**2 = 0.
-2, -1, 0
Let l(z) be the first derivative of -z**6/480 + 3*z**5/160 - z**4/16 - 14*z**3 - 34. Let i(v) be the third derivative of l(v). Factor i(k).
-3*(k - 2)*(k - 1)/4
Let p(k) = k**2 + 3*k - 64. Let r be p(7). Let y(x) be the third derivative of 1/6*x**3 + 6*x**2 + 0*x + 22/135*x**5 + 0 + 2/45*x**r + 17/72*x**4. Factor y(c).
(3*c + 1)*(4*c + 3)**2/9
Let w(c) = 6*c**4 + c**2. Let f(p) = p**4. Let g = 22 + -18. Let r be 0 + 5/(15/(-84)). Let k(m) = g*w(m) + r*f(m). Factor k(h).
-4*h**2*(h - 1)*(h + 1)
Let k(d) be the first derivative of d**6/24 - d**5/10 - 5*d**4/8 + 2*d**3/3 + 33*d**2/8 + 9*d/2 + 16. Determine f so that k(f) = 0.
-2, -1, 3
Let i be 18/63 + 13148/(-7). Let k = i + 5689/3. Let 53/3*z**2 - k*z**3 - 8*z - 5/3*z**5 + 9*z**4 + 4/3 = 0. Calculate z.
2/5, 1, 2
Let 14/5 - 12/5*m - 2/5*m**2 = 0. Calculate m.
-7, 1
Suppose 48 + 147*c**3 + 132*c**2 + 540*c**2 + 104*c + 244*c = 0. What is c?
-4, -2/7
Suppose -7*o + 14 = -0*o. Determine q so that 2 - 10 + 39*q**2 - 109*q**o - 49*q**3 + 6*q + 46*q = 0.
-2, 2/7
Let l(w) be the first derivative of 7 + 3*w**4 + 0*w**2 - 8/3*w**3 + 0*w + 0*w**5 - 2/3*w**6. Factor l(j).
-4*j**2*(j - 1)**2*(j + 2)
Let u(g) be the third derivative of 0*g**3 + 0*g + 0 + 1/672*g**8 - 10*g**2 + 1/84*g**7 + 1/80*g**6 + 0*g**4 - 3/40*g**5. Factor u(b).
b**2*(b - 1)*(b + 3)**2/2
Determine x so that 3*x**2 - 153/7*x - 6 + 153/7*x**3 + 3*x**4 = 0.
-7, -1, -2/7, 1
Let d(j) be the third derivative of -j**5/15 - 17*j**4/6 - 32*j**3/3 + 3*j**2 - 46. Factor d(f).
-4*(f + 1)*(f + 16)
Let w(p) = 60*p + 15. Let n be w(6). Suppose -7*s + 2*s + n = 0. Factor 75*y - s*y - 5*y**5 + 3*y**4 + 2*y**3.
-y**3*(y - 1)*(5*y + 2)
Let l be ((-10)/25)/((-2)/25). Solve r**3 + 0*r**2 + 3*r**5 + 7*r**2 - 2*r**5 + 2*r + l*r**4 + 8*r**3 = 0.
-2, -1, 0
Factor -218702 + 218702 - 4*x**4 + 16*x**2 - 12*x**3.
-4*x**2*(x - 1)*(x + 4)
Let l(k) be the first derivative of -3/11*k**2 - 2 + 4/33*k**3 + 2/11*k. Find d such that l(d) = 0.
1/2, 1
Let a(t) be the second derivative of t**6/5 + 27*t**5/20 + 9*t**4/4 - t**3/2 - 9*t**2/2 + 37*t. Factor a(p).
3*(p + 1)**2*(p + 3)*(2*p - 1)
Factor 16 - 4*q**3 + 1/3*q**4 + 17*q**2 - 88/3*q.
(q - 4)**2*(q - 3)*(q - 1)/3
Suppose -73*s + 23*s + 14*s - 4 + 0 + 19*s**2 = 0. Calculate s.
-2/19, 2
Suppose -12*h + 7*h + 2*t = -22, 2*h - 3*t = 22. Find n, given that 1/2*n**4 + 1/2*n**3 + 1 - 3/2*n**h - 1/2*n = 0.
-2, -1, 1
Let f(z) be the first derivative of z**4/34 - 8*z**3/17 + 21*z**2/17 - 20*z/17 + 64. Find b, given that f(b) = 0.
1, 10
Let h(t) be the first derivative of -4*t**5/35 + 38*t**4/7 - 1444*t**3/21 + 273. Suppose h(l) = 0. Calculate l.
0, 19
Suppose -20 = -5*u, -u = -i + 3*u - 12. Let q(z) be the second derivative of 35/6*z**4 - 2/3*z**3 - 4*z**2 - i*z + 0 + 129/20*z**5 + 21/10*z**6. Factor q(s).
(s + 1)*(3*s + 2)**2*(7*s - 2)
Suppose 0 = -30*p + 20*p. Let f(z) be the second derivative of -3/2*z**3 + 0*z**4 + p + 3/20*z**5 - 3*z**2 - 8*z. Determine i, given that f(i) = 0.
-1, 2
Let n be (0 - -2)/(-12) - (-238)/42. Let f(q) be the first derivative of 9/2*q**2 + 8*q**3 + 1/6*q**6 + 8/5*q**5 - 2 + 0*q + n*q**4. Factor f(o).
o*(o + 1)**2*(o + 3)**2
Let b(q) be the third derivative of q**5/45 + q**4/2 - 20*q**3/9 + 97*q**2. Solve b(k) = 0.
-10, 1
Let g(l) be the second derivative of l**10/6048 - l**9/1512 + l**8/1344 - 7*l**4/12 + l. Let u(s) be the third derivative of g(s). Factor u(p).
5*p**3*(p - 1)**2
Let c(d) be the third derivative of -d**5/4 + 55*d**4/6 - 70*d**3/3 - 11*d**2 + 26. Factor c(p).
-5*(p - 14)*(3*p - 2)
Let a(o) be the first derivative of -o**4/4 - 24*o**3/5 - 93*o**2/10 - 26*o/5 - 13. Find v such that a(v) = 0.
-13, -1, -2/5
Find s such that -29*s**3 + 16/3*s - 30*s**4 - 9*s**5 - 8/3*s**2 + 0 = 0.
-4/3, -1, 0, 1/3
Let l = -11 - -44. Suppose 0 = -l*f + 31*f + 8. Factor 1/3*g**3 + 1/3*g**f + 0*g + 0 + 0*g**2.
g**3*(g + 1)/3
Let t(h) be the second derivative of -h**5/20 - 5*h**4/12 + 7*h**3/6 + 7*h**2/2 - 3*h. Let i be t(-6). Factor -7*k + 1 + 11*k + 4*k**2 - i.
4*k*(k + 1)
Find k, given that 16/5 + 2/5*k**2 + 12/5*k = 0.
-4, -2
Suppose 10*q - 5*q + k = -1005, 2*k = -q - 192. Let d = 204 + q. Find t such that 4/5 + 0*t - 1/5*t**d = 0.
-2, 2
Let j = 154055477/193792840 + -5/196744. Let p = j + 1/197. What is o in -6/5*o + 28/5*o**2 - p + 14/5*o**5 - 24/5*o**4 - 8/5*o**3 = 0?
-1, -2/7, 1
Factor -26 - 234*h**2 - 34 + 231*h**2 - 63*h.
-3*(h + 1)*(h + 20)
Factor 11/3*n + 0 + 1/3*n**2.
n*(n + 11)/3
Let n(m) be the third derivative of -1/5*m**3 + 0*m**5 + 1/60*m**6 + 4*m**2 + 1/175*m**7 - 11/120*m**4 + 1/1680*m**8 + 0 + 0*m. Suppose n(o) = 0. Calculate o.
-3, -2, -1, 1
Let f(d) = -d**2 - 38*d - 46. Let o(k) = 75*k + 90. Let c(l) = -5*f(l) - 3*o(l). Determine v so that c(v) = 0.
-1, 8
Let v(f) be the first derivative of -2/3*f**3 + 0*f + 3/2*f**2 - 3 - 1/4*f**4. Find t, given that v(t) = 0.
-3, 0, 1
Suppose -4*q - z + 20 = 0, -7*q + 34 = -2*q - z. What is t in -10*t**5 + 6*t**3 + 5*t**5 + q*t**5 + 2*t**5 - 9*t**4 = 0?
0, 1, 2
Let u be (-109)/(-2) + 23/46. Suppose 