-2 - i/(-3)). Suppose 3 + g**2 - f - 3*g**2 = 0. Calculate g.
-1, 1
Factor -2*g**3 + 0*g - 4/3*g**2 + 0 - 2/3*g**4.
-2*g**2*(g + 1)*(g + 2)/3
Let a(x) be the third derivative of -x**11/27720 - x**10/7560 + x**9/7560 - x**5/60 - 2*x**2. Let m(k) be the third derivative of a(k). Solve m(z) = 0.
-2, 0, 1/3
Suppose 0*k = -5*k + 2*v + 21, 9 = -3*v. Let -t**3 - 12*t**4 - t**k + 13*t**4 + t**3 = 0. Calculate t.
0, 1
Let g(b) be the first derivative of -2*b**5/45 + 8*b**4/3 - 64*b**3 + 768*b**2 - 4608*b + 16. Determine t so that g(t) = 0.
12
Let h = 277 + -275. Determine g so that -27/4 - 3/4*g**h + 9/2*g = 0.
3
Suppose x = 6*x - 5. Let o(n) = n**3 + 1. Let b(l) = 3*l**3 - 2*l**2 - 6*l - 1. Let g(f) = x*b(f) + 3*o(f). Find z, given that g(z) = 0.
-1, 1/3, 1
Suppose 2/3*c**4 + 0 - 1/6*c**3 + 0*c + 0*c**2 = 0. What is c?
0, 1/4
Let w(n) be the first derivative of n**5/20 + n**4/8 + n**3/12 - 3. Factor w(v).
v**2*(v + 1)**2/4
Let g = 301/3 + -99. Suppose 2/3*y + 0 - 5/3*y**2 - 1/3*y**4 + g*y**3 = 0. Calculate y.
0, 1, 2
Let m(v) = -4*v**4 - 16*v**3 - 29*v**2 - 17*v - 9. Let x(h) = -h**4 - 4*h**3 - 7*h**2 - 4*h - 2. Let c(j) = -2*m(j) + 9*x(j). Suppose c(l) = 0. Calculate l.
-2, -1, 0
Suppose u = -0*u. Factor u - 1 + l**3 + 2*l + l**2 - 3*l.
(l - 1)*(l + 1)**2
Suppose 0 + 6 = -2*b. Let w be b/(-6)*2*11. Find u such that 29*u**2 - 14*u**3 + u - w*u**2 - 5*u = 0.
0, 2/7, 1
Let m(y) be the third derivative of 1/35*y**7 + 3/112*y**8 + 0*y**3 + y**2 + 0*y + 1/6*y**4 + 0 - 1/15*y**5 - 11/120*y**6. Factor m(n).
n*(n + 1)**2*(3*n - 2)**2
Let k(y) = 36*y + 0 - 1 + 25*y**2 + 9 + 2*y**3 + 0. Let u(l) = 8 + 3*l**3 + 0 + 26*l**2 + 24*l + 12*l. Let f(t) = -4*k(t) + 5*u(t). Factor f(s).
(s + 2)**2*(7*s + 2)
Let i be ((-17)/(-8) + 8/(-4))*3. Let n(l) be the second derivative of -7/40*l**5 - i*l**4 + l + 0 + l**3 + l**2. Find z, given that n(z) = 0.
-2, -2/7, 1
Let i(z) = z**3 - 4*z**2 - 4*z - 1. Let w be i(5). Factor 3*a**w + 4*a**5 + 5*a**2 - 12*a**3 - 5*a**2 + 8*a - 4*a**2 + a**4.
4*a*(a - 1)**2*(a + 1)*(a + 2)
Let m = -293 - -881/3. What is f in 0 - 2/3*f + 2/3*f**3 - 2/3*f**2 + m*f**4 = 0?
-1, 0, 1
Let n(q) be the third derivative of -q**8/1680 + 2*q**7/525 - q**6/150 - 5*q**2. Factor n(v).
-v**3*(v - 2)**2/5
Let r = 1372/3 + -457. Factor -2/3 + r*b**4 - b**2 - 1/3*b**3 + 5/3*b.
(b - 1)**3*(b + 2)/3
Let g(k) = k**4 + 31*k**3 + 48*k**2 - 247*k - 256. Let b(p) = -8*p**3 - 12*p**2 + 62*p + 64. Let c(l) = 9*b(l) + 2*g(l). Factor c(f).
2*(f - 4)**2*(f + 1)*(f + 2)
Let k(l) be the third derivative of -l**8/10080 - l**7/1260 + l**4/6 + 5*l**2. Let t(a) be the second derivative of k(a). Determine i so that t(i) = 0.
-3, 0
Factor 4*b**5 - 2*b + 4*b**4 - 14*b**2 - 6*b**2 - 6*b - 12*b**3.
4*b*(b - 2)*(b + 1)**3
Let n = -10 + 8. Let r be ((-4)/(-2))/(n/(-4)). Find g such that -2*g**r + 6*g**2 + g + 2*g**3 - 4*g**2 - 3*g = 0.
-1, 0, 1
Let b = -16/13 + 106/65. Let r be (-2)/(-3)*(4 + -1). Factor 0*u**r + 1/5 + 2/5*u**3 - 1/5*u**4 - b*u.
-(u - 1)**3*(u + 1)/5
Let q(j) be the second derivative of -j**5/20 + j**4/4 - j**3/3 + 8*j. Let q(a) = 0. What is a?
0, 1, 2
Let p(v) = v**2 - 2*v - 2. Let f be p(4). Factor 11*s**3 - 37*s**4 - 15*s**5 + 12*s**4 - 14*s**4 + f*s + 3*s**2 - 38*s**3.
-3*s*(s + 1)**3*(5*s - 2)
Suppose -9*w = -4*w - 20. Let q(d) be the first derivative of -2 - 2/5*d**w + 1/5*d**2 + 0*d - 2/5*d**3. Suppose q(k) = 0. What is k?
-1, 0, 1/4
Let n = -5 + 47. Let f = n - 36. Solve -f*y**2 + 4/3*y - 14/3*y**5 + 10/3*y**3 + 6*y**4 + 0 = 0 for y.
-1, 0, 2/7, 1
Factor 0 - 2/5*j**2 - 1/5*j.
-j*(2*j + 1)/5
Let v = -9 - -4. Let s = v + 7. Suppose 0*l**3 - 1 + s*l**3 + 1 = 0. Calculate l.
0
Let 6 + 3/2*b**2 + 6*b = 0. What is b?
-2
Let m(s) be the second derivative of -s**6/70 + 3*s**5/140 + s**4/28 - s**3/14 - 5*s. Factor m(r).
-3*r*(r - 1)**2*(r + 1)/7
Let p(w) = -w**3 - 10*w**2 - 13*w. Let l(a) = -a**2 - a. Let x(d) = -4*l(d) + p(d). Factor x(i).
-i*(i + 3)**2
Factor 25/2 + 95/2*z - 10*z**2.
-5*(z - 5)*(4*z + 1)/2
Let p(a) be the second derivative of 0 + 0*a**3 + 0*a**2 - 1/42*a**4 + 6*a. Suppose p(y) = 0. What is y?
0
Suppose 15*u - 10 = 10*u. Suppose -s - 2*f = -21, -4*s + 79 = 3*f + 5. Find d, given that 62*d**3 - 38*d**4 + 9*d**5 + u - 6 + s*d - 48*d**2 + 2 = 0.
2/9, 1
Suppose 0 = 3*a - 7*a + 8. Find y, given that -2 + a*y**3 - y**4 + 2*y**2 + 1 - 5*y**5 - y + 4*y**5 = 0.
-1, 1
Let r(j) be the second derivative of -j**9/30240 + j**8/13440 - 5*j**4/12 + 2*j. Let k(i) be the third derivative of r(i). Factor k(f).
-f**3*(f - 1)/2
Factor -2/7*d**3 + 0*d - 2/7*d**5 + 4/7*d**4 + 0*d**2 + 0.
-2*d**3*(d - 1)**2/7
Let a(h) = -5*h**3 - 15*h**2 + 1. Let l(o) = o**3 + 4*o**2. Let n(d) = 2*a(d) + 9*l(d). Let f be n(6). Factor 0 + 0*p + 1/2*p**f.
p**2/2
Suppose -2*i = -3*b + 56, -2*i - 3*b = b + 28. Let z be i/(-143) + 4/(-26). Factor z*r**2 + 0 + 0*r - 1/4*r**3.
-r**3/4
Let t(w) = -w**2 + w + 1. Let c(f) = 9*f**2 + 6*f + 1. Let i(j) = c(j) + 4*t(j). Suppose i(o) = 0. What is o?
-1
Let b(q) = 11*q**3 - 6*q**2 - 9*q + 10. Let g(h) = 120*h**3 - 65*h**2 - 100*h + 110. Let n(k) = 65*b(k) - 6*g(k). Factor n(s).
-5*(s - 1)**2*(s + 2)
Suppose 16/9*o - 32/9 - 2/9*o**2 = 0. What is o?
4
Let b(f) be the third derivative of -f**8/112 - 29*f**7/420 - 29*f**6/240 + 2*f**5/15 + f**4/4 + 70*f**2. Determine s so that b(s) = 0.
-3, -2, -1/2, 0, 2/3
Let l(r) = -r**2 + 1. Let v(c) = 2*c**3 - 13*c**2 + 8*c + 5. Let m(j) = -5*l(j) + v(j). Factor m(z).
2*z*(z - 2)**2
Suppose 4*s - 8 - 20 = 0. Let h be 2/s + (0 - 0). Find p, given that 4/7*p + 0 + 6/7*p**2 + h*p**3 = 0.
-2, -1, 0
Let q = 4 + -4. Let o(r) be the second derivative of -2/15*r**3 + 0 + q*r**2 - 1/6*r**4 + 2*r. Find g, given that o(g) = 0.
-2/5, 0
Let i = 13 + -21. Let x be 5/2*i/(-10). What is k in 0*k**4 - 6*k**3 - 6*k**2 - k**4 - k**4 - x*k = 0?
-1, 0
Let w(n) = n**3 + 10*n**2 - n - 8. Let j be w(-10). Let p be (6/24)/(j + -1). Determine k, given that -1/4*k**5 + 0 + 0*k + p*k**4 + 1/4*k**3 - 1/4*k**2 = 0.
-1, 0, 1
Let i(u) be the second derivative of u**4/30 + u**3/15 - 5*u. Let i(p) = 0. Calculate p.
-1, 0
Let v = -11 - -17. Suppose -9 - v = -5*w. Let 4/3*a**2 + 0 - 1/3*a**w - 4/3*a = 0. What is a?
0, 2
Let d(f) be the third derivative of f**7/2520 - f**5/360 + 5*f**3/6 + f**2. Let m(s) be the first derivative of d(s). Factor m(a).
a*(a - 1)*(a + 1)/3
Let p(i) be the second derivative of 0 + 1/30*i**5 + 1/18*i**4 + 0*i**2 + 0*i**3 - 3*i. Factor p(y).
2*y**2*(y + 1)/3
Let m be (-4)/(-6)*1/(-4)*-2. Determine t, given that m*t**3 - t**2 + t - 1/3 = 0.
1
Let n(s) be the third derivative of s**7/525 - s**6/300 - 18*s**2. Factor n(r).
2*r**3*(r - 1)/5
Let w(u) be the second derivative of 9*u**5/70 - 8*u**4/7 + 52*u**3/21 - 16*u**2/7 + u - 12. Factor w(q).
2*(q - 4)*(3*q - 2)**2/7
Let j(q) be the third derivative of 0*q**4 - 4/15*q**5 - 2*q**2 - 22/15*q**6 + 0*q + 0 - 242/105*q**7 + 0*q**3. Solve j(h) = 0 for h.
-2/11, 0
Let r be 4 - (-3)/(3/(-1)). Suppose -5*a - 5*a**r + 3 - 3*a**2 + 6*a + 2*a + 2*a**3 = 0. Calculate a.
-1, 1
Let k(j) be the first derivative of 2 + 1/2*j + 1/6*j**3 - 1/2*j**2. Suppose k(v) = 0. What is v?
1
Suppose 3*w - 63 = -63. Factor w + 0*g**2 + 2/9*g**4 - 2/3*g**3 + 8/9*g.
2*g*(g - 2)**2*(g + 1)/9
Find x, given that 5*x**3 + 2 + 4*x**2 - 2*x - 5*x - 6*x**3 + 2*x = 0.
1, 2
Let i = 7 + -4. Let f(n) = -n**2 - n + 3. Let t be f(0). Solve -2*j**3 - 2*j**2 - j**t - j**i = 0 for j.
-1/2, 0
Let l be 3/225*15 + 18/10. Let u = -4/31 - -47/124. Suppose -3/4*k - 3/4*k**l - 1/4*k**3 - u = 0. What is k?
-1
Let d = 3/40 + 71/120. Factor -d*m**4 + 2/3*m**2 - 2/3*m**3 + 0 + 2/3*m.
-2*m*(m - 1)*(m + 1)**2/3
Factor 3/4*p**2 - 3/2 - 3/4*p.
3*(p - 2)*(p + 1)/4
Factor 0*y - 1/6*y**4 + 0 + 1/6*y**3 + 0*y**2.
-y**3*(y - 1)/6
Let s be 4 + -5 - 6/(-2). Let f be (-55)/(-15) - s/(-6). Factor 30*x**3 + 14*x**5 + 36*x**4 + 2*x**2 - 10*x**4 - 4*x + 12*x**f.
2*x*(x + 1)**3*(7*x - 2)
Let h(x) = -x**3 - x**2 + x + 1. Let p be h(-1). Suppose 2*z - 3*z + 3 = p. Factor -2*o**2 - 2*o + 3*o - z*o + 4.
-2*(o - 1)*(o + 2)
Let d = -668 + 98. Let g = -78 - d. What is y in -8321*y**4 + 464*y + 775*y**4 - 32 + g*y**5 - 2576*y**2 + 1909*y**5 + 6664*y**3 = 0?
2/7, 2
Let h(d) = -3*d - 16. Let v be h(-6). Let t(n) be the second derivative of 6/5*n**5 + 3*n + 0 - 1/3*n**6 