be (25 + -24)/(8/(-8) - (-20)/16). Find p such that -1/9*p**5 - 2/9*p**2 + 0*p**r + 4/9*p**3 - 1/3*p + 2/9 = 0.
-2, -1, 1
Let v(f) be the third derivative of 1/504*f**8 + 0 + 1/4*f**4 - 2/105*f**7 + 7/90*f**6 - 8/45*f**5 + 0*f - 2/9*f**3 + 25*f**2. Factor v(p).
2*(p - 2)*(p - 1)**4/3
Factor 2*k**2 + 1/2*k**3 - 8 - 2*k.
(k - 2)*(k + 2)*(k + 4)/2
Let -351*z**2 - 105/2*z**3 - 492 + 3/2*z**4 - 726*z = 0. What is z?
-2, 41
Let q = -23749/5 - -4750. What is p in q*p**3 - 3/5*p**2 + 0 + 2/5*p = 0?
0, 1, 2
Let y = 691/59 + 93/118. Find x, given that 6*x + 9/2*x**3 + 2 - y*x**2 = 0.
-2/9, 1, 2
Suppose 10 = 3*i - i + s, i + s = 6. Let a be (i - (-33)/(-7)) + 1 + 0. Find o, given that -a*o**2 + 2/7*o + 4/7 = 0.
-1, 2
Let q(t) be the first derivative of -t**4/18 + 2*t**3/27 + t**2 - 2*t + 233. Factor q(n).
-2*(n - 3)*(n - 1)*(n + 3)/9
Solve -5/4*s**5 + 0 + 135/4*s**3 - 15/4*s**4 + 75/2*s + 295/4*s**2 = 0 for s.
-6, -1, 0, 5
Let l be (-214)/(-264) - 352/5808. Solve l*u**4 + 3*u**3 + 9/2*u**2 + 3/4 + 3*u = 0 for u.
-1
Let k = -4030 - -4032. Factor 10/7 - 2/7*a**k - 8/7*a.
-2*(a - 1)*(a + 5)/7
Let g(h) be the first derivative of -h**4/7 - 40*h**3/21 + 8*h**2/7 + 160*h/7 + 219. Solve g(m) = 0 for m.
-10, -2, 2
Let o(d) = -10*d**4 - 90*d**3 - 768*d**2 - 2042*d. Let j(x) = 9*x**4 + 91*x**3 + 768*x**2 + 2043*x. Let u(c) = -6*j(c) - 5*o(c). Factor u(a).
-4*a*(a + 8)**3
Let o = -22653/2 - -11327. Factor -3/4*z + o + 1/4*z**3 + 0*z**2.
(z - 1)**2*(z + 2)/4
Let d(q) be the first derivative of q**3/9 - 10*q**2/3 + 17*q + 99. Find v such that d(v) = 0.
3, 17
Let r(k) be the third derivative of k**6/150 - 4*k**5/75 + k**4/10 - 34*k**2. Factor r(g).
4*g*(g - 3)*(g - 1)/5
Let a(b) be the third derivative of -b**5/60 - 3*b**4/4 - 77*b**3/6 + 6*b**2 + 2. Solve a(h) = 0 for h.
-11, -7
Factor 16/9*k**4 + 4/3*k**3 + 0 + 0*k**2 - 2/9*k + 2/3*k**5.
2*k*(k + 1)**3*(3*k - 1)/9
Factor 56/5*p - 2/5*p**2 - 104/5.
-2*(p - 26)*(p - 2)/5
Let v = -98 + 2. Let z = v + 96. Factor 2*s**2 + s - 21/4*s**3 + z.
-s*(3*s - 2)*(7*s + 2)/4
Suppose 50 = 21*r - 16*r. Suppose -m = 2*s - 9, m - 5 = -4*s + r. Suppose -4/7*p**2 + 2/7*p - 2/7*p**s + 4/7 = 0. Calculate p.
-2, -1, 1
Let o = -9 - -11. Suppose 2*w**5 - 368*w**o - 2*w**3 + 368*w**2 = 0. Calculate w.
-1, 0, 1
Determine w, given that 1/2*w - 1/2*w**3 - 3 + 3*w**2 = 0.
-1, 1, 6
Find h, given that 101 - 33*h**3 - 111*h**2 - 107*h**4 + 7 + 108*h + 125*h**4 = 0.
-2, -2/3, 3/2, 3
Determine y so that -86/5*y - 1849/5 - 1/5*y**2 = 0.
-43
Let q(d) be the third derivative of -1/45*d**5 - 1/30*d**6 + 0*d + 0*d**3 + 6*d**2 + 0*d**4 + 0. Find s, given that q(s) = 0.
-1/3, 0
Let w(b) be the first derivative of b**5/12 - 5*b**4/12 + 4*b**2 + 17. Let i(l) be the second derivative of w(l). Factor i(n).
5*n*(n - 2)
Let q(b) = -b**2 + 5*b - 3. Let m(t) = t**3 + 6*t**2 - t - 3. Let n be m(-6). Suppose -8 = n*x + 1. Let w(o) = -o + 1. Let f(d) = x*w(d) - q(d). Factor f(v).
v*(v - 2)
Let t(x) be the third derivative of -x**6/60 + x**4/12 + 37*x**2 + x. Suppose t(p) = 0. Calculate p.
-1, 0, 1
Let w(b) be the second derivative of b**6/330 + b**5/220 - 5*b**4/132 + b**3/22 + 3*b - 27. Factor w(m).
m*(m - 1)**2*(m + 3)/11
Let n(q) be the third derivative of -q**6/120 - 9*q**5/20 - 65*q**4/8 - 425*q**3/6 - 65*q**2 - 2. Factor n(x).
-(x + 5)**2*(x + 17)
Solve -39/5*x**3 - 12/5*x + 36/5*x**2 + 18/5*x**4 + 0 - 3/5*x**5 = 0 for x.
0, 1, 2
Factor 52*k**3 - 40*k**2 + 38*k**2 - 52*k - 3*k**4 + 5*k**4.
2*k*(k - 1)*(k + 1)*(k + 26)
Let l(w) be the first derivative of 1 + 0*w**2 + 0*w + 2/51*w**3. What is x in l(x) = 0?
0
Let z = -2975 - -38679/13. Let r be 1/(-3) - 39/(-9). Factor 2/13*w**r + 0 + z*w**2 + 6/13*w**3 + 0*w.
2*w**2*(w + 1)*(w + 2)/13
Let g(q) be the first derivative of q**3/15 + 8*q**2/5 - 36*q/5 + 340. Suppose g(v) = 0. Calculate v.
-18, 2
Let c(s) = 30*s**5 + 86*s**4 + 22*s**3 - 6*s**2 + 6*s + 6. Let b(z) = 31*z**5 + 85*z**4 + 21*z**3 - 5*z**2 + 5*z + 5. Let t(f) = 6*b(f) - 5*c(f). Factor t(y).
4*y**3*(y + 2)*(9*y + 2)
Let 16/19*b**2 + 0 - 2/19*b**3 - 32/19*b = 0. Calculate b.
0, 4
Suppose -6 = 2*n - 10. Factor -16*s + 0*s**3 + 12*s**3 - 35*s**2 + 19*s**n.
4*s*(s - 2)*(3*s + 2)
Let i(t) be the second derivative of -2*t**5 + 9*t**4 + 98*t**3/3 + 24*t**2 + 413*t. Let i(j) = 0. What is j?
-1, -3/10, 4
Let n = -2263 - -2263. Solve 0 + n*i - 1/7*i**4 + 0*i**2 + 3/7*i**3 = 0 for i.
0, 3
Suppose -2*l - 10 = -0*l, 3*l = 5*s + 195. Let a = s - -45. Factor 2/9*f**a + 2 + 2/3*f - 10/9*f**2.
2*(f - 3)**2*(f + 1)/9
Let f(o) be the first derivative of 3*o**5/35 + 3*o**4/7 - 24*o**2/7 - 48*o/7 - 68. Solve f(z) = 0.
-2, 2
Let a(q) = -q**2 + q - 1. Let z = 11 + -10. Let w(u) = z + 0*u**2 + 22*u - 14*u - 8*u**2. Let s(d) = -5*a(d) + w(d). Suppose s(f) = 0. Calculate f.
-1, 2
Suppose 3*a + 4*m = -16 + 2, 5*m = -25. Let -8/15*b**a + 2/15*b**4 + 0 + 0*b + 0*b**3 = 0. What is b?
-2, 0, 2
Let v = -53519/57 + 939. Let y = 163/114 + v. Factor -9/2*t**4 + 15/2*t**3 + 0 - 3/2*t**2 - y*t.
-3*t*(t - 1)**2*(3*t + 1)/2
Let t be -17*(-1)/8 - 2/16. Suppose -18*y**4 - t*y**4 + 19*y**4 = 0. Calculate y.
0
Let k(t) be the first derivative of -3/5*t**5 - 5/3*t**3 - 1/2*t**2 - 30 + 0*t - 7/4*t**4. Factor k(v).
-v*(v + 1)**2*(3*v + 1)
Let c(w) be the third derivative of 2*w**7/1995 - w**6/1140 - w**5/285 + w**4/228 - 89*w**2. Find i, given that c(i) = 0.
-1, 0, 1/2, 1
Let i(l) = -4*l**2 - 13*l + 17. Let r = 128 - 122. Let f(q) = -2*q**2 - 6*q + 8. Let z(y) = r*i(y) - 13*f(y). Find c such that z(c) = 0.
-1, 1
Let v(j) be the first derivative of 5*j**4/4 + 5*j**3/3 - 7*j + 8. Let h(p) = -3*p**3 - 3*p**2 + 4. Let l(m) = 7*h(m) + 4*v(m). Factor l(z).
-z**2*(z + 1)
Let g be 10/40 - (-742)/8. Let x = 93 - g. Factor x + 1/5*b**3 + 2/5*b - 3/5*b**2.
b*(b - 2)*(b - 1)/5
Let v = -1/772 + 18533/3860. Let o = -17 + 20. Determine x, given that 63/5*x**5 - 8/5 - 89/5*x**o + 36/5*x - 6/5*x**2 + v*x**4 = 0.
-1, 2/7, 2/3
Let 30/7 - 3/7*z**2 + 9/7*z = 0. What is z?
-2, 5
Suppose 5*k = k. Suppose 0 = 2*i + q, 4*q = 2*i - 3*i - 3*i. Let 2/5*j**2 - 2/5*j**3 + i*j + k = 0. Calculate j.
0, 1
Let s(a) = -a**2 - a + 3. Let v be s(0). Let x(b) be the second derivative of 0 + 0*b**2 - 1/2*b**v - 2*b - 3/20*b**5 - 1/2*b**4. Suppose x(u) = 0. Calculate u.
-1, 0
Let j(k) be the second derivative of -k**4/12 - 37*k**3/3 - 73*k**2/2 + 551*k. Suppose j(v) = 0. What is v?
-73, -1
Solve 9*t**3 - 9*t + 3/2*t**2 + 0 - 3/2*t**4 = 0.
-1, 0, 1, 6
Let t(l) be the third derivative of 0*l**5 + 4*l**2 + 1/735*l**7 + 0*l**3 + 1/105*l**6 + 0 + 0*l**4 + 0*l. Let t(k) = 0. Calculate k.
-4, 0
Suppose -4*i + 12 = -r - i, 0 = -3*r - i - 6. Let o be r/(-6) - 11/(-10) - -2. Factor -32/5*u**2 - 28/5*u**3 - 12/5*u**4 - 2/5*u**5 - o*u - 4/5.
-2*(u + 1)**4*(u + 2)/5
Let a(c) be the third derivative of c**8/480 + c**7/630 - 7*c**6/360 - c**5/30 - c**4/6 - 2*c**2. Let w(d) be the second derivative of a(d). Solve w(l) = 0.
-1, -2/7, 1
Let v(r) be the second derivative of -13*r - 75/4*r**2 - 15/4*r**3 + 0 - 3/40*r**5 + 9/8*r**4. Solve v(y) = 0.
-1, 5
Let n = -12859/114 - -697/6. Determine b so that -64/19 + n*b + 2/19*b**3 - 20/19*b**2 = 0.
2, 4
Let m be 7/(-9) - 2/9. Let f be (m/(-2))/((-3)/(-78)). Factor 2*k**3 + 13 - f + 8*k**4.
2*k**3*(4*k + 1)
Let b(h) = -h**3 + 6*h**2 + 2*h - 12. Let i(j) = -j**3 + 9*j**2 + 2*j - 12. Let p be i(9). Let q be b(p). Solve 1/3*s**2 + 0*s + 25/3*s**4 - 10/3*s**3 + q = 0.
0, 1/5
Let s(j) = 4*j + 67. Let y be s(-16). Factor -q**4 + 5*q**2 - 12*q**4 - 10*q**y - 6*q**4 + 24*q**4.
5*q**2*(q - 1)**2
Let f(x) be the second derivative of x**4/36 + 35*x**3/9 + 1225*x**2/6 - 102*x. Factor f(l).
(l + 35)**2/3
Let x = -7602 - -15205/2. Factor 0*z + 1/2*z**3 + 0 + x*z**4 - 1/2*z**5 - 1/2*z**2.
-z**2*(z - 1)**2*(z + 1)/2
Let l(q) = 5*q**5 + 10*q**3 - 6*q**2 + 12. Let a(z) = 14*z**5 + 29*z**3 - 17*z**2 + 34. Let f(r) = -6*a(r) + 17*l(r). Factor f(h).
h**3*(h - 2)*(h + 2)
Let o(l) be the second derivative of 7*l**4/3 - 62*l**3/3 - 40*l**2 - 251*l + 1. Factor o(y).
4*(y - 5)*(7*y + 4)
Suppose 64*q**3 - 4*q**4 - 385*q - 4*q**5 + 112*q**2 - 16*q**3 + 449*q = 0. What is q?
-2, -1, 0, 4
Let m(v) = -9*v**3 - 20*v**2 + 211*v - 160. Let s(f) = -2*f**3 - 4*f**2 + 42*f - 32. Let c(q) = -2*m(q) + 11*s(q). Factor c(j).
-4*(j - 2)*(j - 1)*(j + 4)
Fa