**2*(u - 44)
Let q(x) be the first derivative of x**8/168 - 2*x**6/15 + 4*x**4/3 + 9*x**2 - 15. Let t(n) be the second derivative of q(n). Factor t(k).
2*k*(k - 2)**2*(k + 2)**2
Let a(g) be the first derivative of -g**6/6 - 104*g**5/5 - 676*g**4 + 587. Suppose a(l) = 0. What is l?
-52, 0
Factor 0*f + 1/3*f**4 + 4/3*f**2 + 5/3*f**3 + 0.
f**2*(f + 1)*(f + 4)/3
Suppose -14*z + 19*z = 20. Let 421*m + 2*m**4 - 2*m**3 - 421*m - z*m**2 = 0. What is m?
-1, 0, 2
Let i be (2*7/(-28)*-2)/10. Let j(a) be the third derivative of -1/40*a**6 - a**3 + i*a**5 + 2*a**2 + 0 + 1/8*a**4 + 0*a. Factor j(h).
-3*(h - 2)*(h - 1)*(h + 1)
Let 0 + 7*x**2 + 1/2*x**4 + 0*x + 15/2*x**3 = 0. Calculate x.
-14, -1, 0
Find v such that -226*v**2 + 21*v**3 - v**3 + 0*v**4 + 76*v + 2*v**4 + 56*v**2 + 98*v**2 - 26 = 0.
-13, 1
Let m(n) = -3*n**5 + 18*n**4 + 12*n**3 - 51*n**2 - 3*n + 54. Let d(u) = 3*u**4 - u**2 - u + 2. Let v(z) = 3*d(z) - m(z). Factor v(c).
3*(c - 2)**3*(c + 1)*(c + 2)
Let f(y) be the second derivative of y**7/42 + y**6/15 - 7*y**5/20 - 5*y**4/3 - 2*y**3 - 258*y. Suppose f(d) = 0. Calculate d.
-2, -1, 0, 3
Suppose -3*o - 4*h + 0*h = -106, -o = -4*h - 30. Suppose 124 - o = 5*d. Let 6*s**3 + 11*s - 24 - d*s**2 + s + 24*s - 3*s**3 = 0. Calculate s.
2
Determine b, given that -2 - 1/4*b**2 - 3/2*b = 0.
-4, -2
Let r be (-1 - -6*(-12)/72) + 2. Solve 8/3*m + 4/3*m**3 + 4*m**2 + r = 0.
-2, -1, 0
Let p(r) be the third derivative of r**6/180 + 2*r**5/9 + 25*r**4/9 - 54*r**2. Solve p(w) = 0 for w.
-10, 0
Let d(v) = -4*v**3 - 5*v**2 + 4*v + 11. Let b be -6*11/((-198)/(-48)). Let j(a) = 20*a**3 + 24*a**2 - 20*a - 56. Let k(s) = b*d(s) - 3*j(s). Factor k(h).
4*(h - 1)*(h + 1)*(h + 2)
Let v(s) = -10*s**3 - 30*s**2 + 54*s - 7. Let l(w) = 3*w**3 + 10*w**2 - 17*w + 2. Let j(k) = 14*l(k) + 4*v(k). Factor j(z).
2*z*(z - 1)*(z + 11)
Let u(q) be the second derivative of 5*q**3/2 - 5*q**2 + 26*q. Let k(b) = -b**2 + 16*b - 9. Let o(w) = -5*k(w) + 6*u(w). Find s, given that o(s) = 0.
-3, 1
Let v(h) be the second derivative of h**5/12 + 25*h**4/24 + 5*h**3 + 31*h**2/2 + 55*h. Let w(s) be the first derivative of v(s). Solve w(m) = 0.
-3, -2
Suppose 3*c = 2*r + 3, -3*r - 5*c + 2 + 3 = 0. Suppose 2*s - 6*s = -r*s. Factor -1/5*m**2 + s*m + 0 + 1/5*m**5 - 1/5*m**3 + 1/5*m**4.
m**2*(m - 1)*(m + 1)**2/5
Let w(o) be the second derivative of 4*o**7/147 + 2*o**6/35 - 2*o**5/35 + 211*o. Factor w(s).
4*s**3*(s + 2)*(2*s - 1)/7
Let x(h) = h**3 - 2*h. Let i(y) = -8*y**3 + 8*y**2 - 5*y + 12. Let n(m) = -4*i(m) - 28*x(m). Factor n(o).
4*(o - 4)*(o - 3)*(o - 1)
Suppose 5*o - 15 = 5*p, 0*o + 5*p = -2*o - 22. Let h be 63/70*((-10)/6)/o. Let 9/2*x + 3/2 + h*x**3 + 9/2*x**2 = 0. What is x?
-1
Let r be (-30)/(-1)*(3/3 - 2). Let w be 14/(-77) + r/(-44). Let 0 + 1/2*d**5 - 1/2*d**4 + 0*d + w*d**2 - 1/2*d**3 = 0. What is d?
-1, 0, 1
Let y(o) be the second derivative of 9/2*o**4 + 12*o**2 + 0 + 5*o - 10*o**3 + 1/10*o**6 - 21/20*o**5. What is s in y(s) = 0?
1, 2
Let z(h) be the first derivative of -3/2*h**2 + 3/8*h**4 - 1/2*h**3 + 0*h + 3 - 3/20*h**5 + 1/40*h**6. Let i(c) be the second derivative of z(c). Factor i(n).
3*(n - 1)**3
Let h = -1785/2 + 955. Factor 5*q**3 - 225/2*q**4 + 27/2 + 99*q**2 - 135/2*q + h*q**5.
(q - 1)*(q + 1)*(5*q - 3)**3/2
Let z(r) be the first derivative of 3*r**4/4 + 17*r**3 + 93*r**2/2 + 45*r + 50. Factor z(p).
3*(p + 1)**2*(p + 15)
Let l = -32 - -34. Determine x, given that x + 27*x**4 - 9*x**4 - x**5 - 2*x**l - 16*x**4 = 0.
-1, 0, 1
Suppose 3*q + 51 = 5*g + 136, -5*g - 4*q - 50 = 0. Let s be (-7)/49*g/4. Let 1/4*d**5 + 0 - 1/4*d**3 - s*d**4 + 1/2*d**2 + 0*d = 0. Calculate d.
-1, 0, 1, 2
Solve -1/6*s**2 + 13/3*s + 28/3 = 0.
-2, 28
Let a(w) be the third derivative of -10/3*w**3 - 1/24*w**6 + 0*w**4 + 1/4*w**5 + 0*w - 10*w**2 + 0. Suppose a(c) = 0. Calculate c.
-1, 2
Factor -1191*z**2 - 10 + 1188*z**2 + 27*z - 20 - 12.
-3*(z - 7)*(z - 2)
Let w = 1 - -1. Suppose -4*o - 28 + 0 = -w*d, -4*d + 5*o = -56. Factor -9*y + 3*y**2 - 8 - 3*y**2 + d + 3*y**2.
3*(y - 2)*(y - 1)
Suppose -2*f + 24 = -2*i - 0*i, -3*f = 5*i - 52. Let z = f + -14. Factor z*c**4 + 2*c**4 - 2*c**4 - 4*c**2 + 2*c**4 + 2.
2*(c - 1)**2*(c + 1)**2
Let d be 9/((-126)/(-668)) - (-2)/7. Determine r so that 95 + 98 + 4*r**2 - d*r - 49 = 0.
6
Factor 5*r**4 + 12*r - r**4 + 10*r**2 - 12*r**3 - 2*r**2 + 0*r**2 - 12*r**2.
4*r*(r - 3)*(r - 1)*(r + 1)
Let q(x) be the third derivative of -x**4/12 - x**3 - 9*x**2. Let y be q(-9). Factor 4*v**4 - 6*v - 6*v + y*v.
4*v**4
Let f(z) = z**2 - 8*z - 6. Let y be f(11). Factor -3*j**2 + y*j - 75 + 30*j - 27*j.
-3*(j - 5)**2
Let k(q) be the second derivative of -4*q**4/27 + 5*q**3/9 + 2*q**2/9 + 12*q - 5. Solve k(p) = 0 for p.
-1/8, 2
Let r(w) be the third derivative of -1/6*w**3 + 24*w**2 - 1/24*w**4 + 0*w + 1/120*w**6 + 0 + 1/60*w**5. Factor r(k).
(k - 1)*(k + 1)**2
Let v(k) = 4*k**4 - 24*k**3 + 28*k**2 + 104*k + 40. Let z(f) = 2*f**4 - 8*f**3 + 9*f**2 + 35*f + 13. Let r(p) = 3*v(p) - 8*z(p). Determine b so that r(b) = 0.
-2, -1, 2
Factor 3130*p**2 + 4418 - 1567*p**2 + 188*p - 1561*p**2.
2*(p + 47)**2
Let c be 362/600 + (-20)/80. Let y = c - 1/50. Factor -2/3*a**2 + 1/3*a + 0*a**3 + 2/3*a**4 + 0 - y*a**5.
-a*(a - 1)**3*(a + 1)/3
Let j(u) be the second derivative of -u**6/840 + 3*u**5/280 + u**3/2 + 7*u. Let r(l) be the second derivative of j(l). Factor r(v).
-3*v*(v - 3)/7
Let 4*t + 8*t - 84*t + 41*t**4 + 4*t**5 - 92*t**3 - 37*t**4 + 156*t**2 = 0. What is t?
-6, 0, 1, 3
Let f be (-19)/8 + 2 - (-138)/368. Find s such that 0*s**3 + f - 2/7*s**4 + 2*s**2 - 12/7*s = 0.
-3, 0, 1, 2
Let x(f) be the third derivative of 1/660*f**6 + 1/110*f**5 + 0*f - 1/11*f**3 - 1/132*f**4 - 11*f**2 + 0. Factor x(l).
2*(l - 1)*(l + 1)*(l + 3)/11
Let m be (5/2)/((-1)/(-18)). Let p be (26/(-39))/(1/(-9)). Factor m*y**2 - y**3 - 39*y**2 - 3*y - p*y.
-y*(y - 3)**2
Let c(i) = 18*i**2 + 119*i + 1083. Let w(y) = 21*y**2 + 120*y + 1083. Let g(x) = 6*c(x) - 5*w(x). Factor g(m).
3*(m + 19)**2
Let c(m) = m**4 - m. Suppose -3*q + 18 = -3*t, 0*q = -5*q + 2*t + 30. Let f(g) = -5*g**4 + 2*g**3 + 6*g. Let d(l) = q*c(l) + f(l). Factor d(w).
w**3*(w + 2)
Let a(i) = -9*i**3 - 123*i**2 - 321*i + 1500. Let k(x) = 2*x**3 + 30*x**2 + 80*x - 375. Let r(b) = -5*a(b) - 21*k(b). Factor r(f).
3*(f - 5)**2*(f + 5)
Factor q**4 + 48*q - 19*q - 14*q + 7*q**2 - 5*q**3 - 18*q.
q*(q - 3)*(q - 1)**2
Let k(g) be the second derivative of g**6/135 - 2*g**5/45 - 5*g**4/18 + 2*g**3/3 + 202*g. Let k(x) = 0. Calculate x.
-3, 0, 1, 6
Let v(t) be the first derivative of -5*t**4/22 - 14*t**3/33 + 28*t**2/11 + 24*t/11 - 60. Find y, given that v(y) = 0.
-3, -2/5, 2
Solve -40 - 1/10*n**2 - 4*n = 0.
-20
Let h(j) = -6*j**4 - 519*j**3 + 14023*j**2 - 22*j + 11. Let x(i) = i**4 + 104*i**3 - 2805*i**2 + 4*i - 2. Let v(b) = 6*h(b) + 33*x(b). Factor v(m).
-3*m**2*(m - 53)**2
Determine n so that 36 + 49*n**3 - n**4 - 25*n**2 + 86*n**3 - 145*n**3 = 0.
-6, -3, -2, 1
Let k be 20 + (4047/(-95) - -23). Factor k*m**3 - 26/5*m + 2*m**2 + 14/5.
2*(m - 1)**2*(m + 7)/5
Let s = 42 + -419/10. Let k(q) be the second derivative of 0 - 9*q - 4*q**2 + 1/2*q**4 - s*q**5 + 0*q**3. Solve k(g) = 0 for g.
-1, 2
Let l(f) be the third derivative of 0*f + 0 + 17*f**2 + 3/64*f**4 - 1/8*f**3 - 1/160*f**5. Let l(t) = 0. Calculate t.
1, 2
Let h = -4037/2 + 1928. Let n = 91 + h. Suppose -n*k + 1/4*k**4 + 5/4*k**2 - k**3 + 0 = 0. What is k?
0, 1, 2
Suppose 0 = -5*z + 4*v + 27, -9 = -5*z - v - v. Suppose -z*t**3 + 12*t**2 - 4*t**3 - 154*t + 4*t**3 + 145*t = 0. Calculate t.
0, 1, 3
Let n = -753/14 - -86/7. Let a = n + 44. Let -a*i**2 - 5*i - 5/2 = 0. What is i?
-1
Suppose -4*x - p + 6 = -3*p, p = -3*x + 17. Factor 0*r**4 + 0*r**4 - 3*r**3 - 2*r**4 + r**x - 2*r**2.
-r**2*(r + 1)*(r + 2)
Let y = 7/25 + -1396/75. Let l = y - -119/6. Determine x, given that 1/2 - x**3 - 1/2*x**5 - l*x**4 + 3/2*x + x**2 = 0.
-1, 1
Let i(j) be the second derivative of j**7/168 - j**6/32 + j**5/24 + 45*j**2/2 - 49*j. Let k(w) be the first derivative of i(w). Factor k(z).
5*z**2*(z - 2)*(z - 1)/4
Suppose -11*a + 4*a = -2310. Factor -4*w**2 - w**3 - 330 - 3*w**3 + 4*w**4 + a + 4*w**5.
4*w**2*(w - 1)*(w + 1)**2
Let x(m) be the second derivative of -m**7/273 + m**6/15 - 29*m**5/65 + 53*m**4/39 - 85*m**3/39 + 25*m**2/13 + 108*m - 3. Facto