(7*t - 2)/11
Let c be 24/(-36)*(-3 - 0). Find a such that 2*a**2 + a**2 - 3*a**3 - a**5 - 4*a**2 + c*a**2 + 3*a**4 = 0.
0, 1
Let v be (-9)/3 - 144/(-32). Factor v*k**2 - 1 + 1/2*k.
(k + 1)*(3*k - 2)/2
Let r(s) be the second derivative of s**8/4480 + s**7/2520 - s**6/480 - s**5/120 + 5*s**4/12 + 4*s. Let c(j) be the third derivative of r(j). Solve c(u) = 0.
-1, -2/3, 1
Let b(f) be the first derivative of f**6/360 - f**5/120 - f**4/12 + 2*f**3/3 - 2. Let c(d) be the third derivative of b(d). Factor c(r).
(r - 2)*(r + 1)
Let s(t) = t**3 - 5*t**2 - 6*t. Let d = -6 + 12. Let q be s(d). Factor q + 1/4*g + 1/4*g**2.
g*(g + 1)/4
Suppose 2*a**2 - 4*a**3 + 7*a**4 - 11*a**4 + 6*a**4 = 0. Calculate a.
0, 1
Let y(d) be the second derivative of 0 - 1/4*d**4 - 5*d - 1/2*d**2 - 1/2*d**3 - 1/20*d**5. Find t such that y(t) = 0.
-1
Let o(h) = h**2 + h + 1. Let g = -8 - -11. Let c(v) = -18*v**2 + g*v - 8 + 7*v**2 - 2*v. Let i(d) = c(d) + 6*o(d). Let i(l) = 0. Calculate l.
2/5, 1
Find d, given that 2/15*d**4 + 8/15*d + 2/5*d**2 - 8/15*d**3 - 8/15 = 0.
-1, 1, 2
Let v be 10/4 - 1/2. Let k(c) be the second derivative of -3*c + 7/3*c**3 - 3/2*c**4 + 1/2*c**5 + 0 - 1/15*c**6 - 2*c**v. Factor k(a).
-2*(a - 2)*(a - 1)**3
Let v = -4 - -6. Let o = 1 + v. Let -2 + 2 + 2*g**2 + g**3 - 3*g**o + 4*g = 0. Calculate g.
-1, 0, 2
Factor 0 + 2/9*v**3 + 0*v**2 - 2/9*v.
2*v*(v - 1)*(v + 1)/9
Factor -3/7 + 0*r + 3/7*r**2.
3*(r - 1)*(r + 1)/7
Suppose -5*x + 12 + 3 = 0. Let a be (-1)/((-14)/4 + x). Factor p**2 + 4*p**2 + 3*p**a - 2*p**5 - 4*p**3 + 10*p**4 - 12*p**3.
-2*p**2*(p - 2)**2*(p - 1)
Let r(u) be the third derivative of u**5/20 + 3*u**4/2 + 18*u**3 + 19*u**2. Factor r(o).
3*(o + 6)**2
Let a(g) be the second derivative of g**8/10080 - g**7/945 + g**6/216 - g**5/90 - g**4/3 - 3*g. Let u(d) be the third derivative of a(d). Factor u(c).
2*(c - 2)*(c - 1)**2/3
Let j be (-2 + 0)/(4/2). Let w be (2 + 51/(-15))/j. Factor w*t + 11/5*t**3 - 4*t**2 + 2/5.
(t - 1)**2*(11*t + 2)/5
Let -8/3*p + 4/3*p**3 - 10/3*p**2 + 2 = 0. Calculate p.
-1, 1/2, 3
Let l = 4 + -3. Let p = l + 1. Suppose -r**p - 1 - r - 3 - 3*r = 0. Calculate r.
-2
Let a be (-1 - -1)/(7 + -1 - 5). Let y(r) be the first derivative of 0*r**2 + a*r - 2 + 1/12*r**3 + 1/16*r**4. Let y(c) = 0. What is c?
-1, 0
Let l(j) = 4*j + 2*j**3 + j**3 + j**2 + 4*j**2. Let x(g) = 0*g + g + 2*g**3 + 2*g + 4*g**2 + 0*g. Let u(m) = 3*l(m) - 4*x(m). Factor u(s).
s**2*(s - 1)
Let v(z) be the third derivative of z**6/120 - z**5/15 + z**4/6 - 2*z**2. Find f, given that v(f) = 0.
0, 2
Let d(s) = 2*s + 4. Let l be 12/(-20) - (-13)/5. Let f(h) = 7 + 6*h - h + h**2 + 2. Let i(c) = l*f(c) - 5*d(c). Let i(x) = 0. Calculate x.
-1, 1
Let s(q) = 23*q**5 - 23*q**3 - 17*q + 17. Let c(n) = -8*n**5 + 8*n**3 + 6*n - 6. Let z(t) = 17*c(t) + 6*s(t). What is h in z(h) = 0?
-1, 0, 1
Let f(l) be the second derivative of 0*l**4 + l - 3/20*l**5 + 0 + 0*l**2 + 0*l**3 + 1/10*l**6. Factor f(k).
3*k**3*(k - 1)
Let 9/5 - 3/5*j**2 - 6/5*j = 0. Calculate j.
-3, 1
Let k(f) = f**2 + 3*f + 2. Let q be k(-3). Suppose -5*z = -2*h + 19, -6 = h + 5*z + 7. Factor -q - v**2 - v**h + 2*v + 2*v.
-2*(v - 1)**2
Suppose 4 = -4*p, -5*s + p + 19 = 2*p. Factor -5*r - 4 - s*r + 3*r + r**2 + 17*r**2.
2*(3*r - 2)*(3*r + 1)
Let a(x) be the third derivative of -x**8/112 - x**7/35 + 3*x**6/40 + x**5/5 - x**4/2 + 2*x**2 + 9*x. Factor a(y).
-3*y*(y - 1)**2*(y + 2)**2
Let c(x) be the first derivative of 3*x**4/8 + 9. Suppose c(a) = 0. Calculate a.
0
Suppose 3*m - 4 = -5*w, -4*m - m = -2*w - 17. Factor -3*o**2 + 3/2*o**5 + 3/2*o**4 + 3/2*o + 3/2 - 3*o**m.
3*(o - 1)**2*(o + 1)**3/2
Let b = -211 + 211. Let 1/2*o**5 + o**4 + 0*o**3 + b - o**2 - 1/2*o = 0. Calculate o.
-1, 0, 1
Let h(p) = p**4 - p**3 - p**2 + p. Let g = -12 + 17. Suppose g*v - 2*v - 6 = 0. Let o(z) = z**3 - z**2 - z + 1. Let s(y) = v*h(y) + 2*o(y). Factor s(a).
2*(a - 1)**2*(a + 1)**2
Let w(t) be the first derivative of 0*t + 0*t**4 + 0*t**2 + 1/10*t**6 - 9/25*t**5 + 4/5*t**3 - 6. Factor w(y).
3*y**2*(y - 2)**2*(y + 1)/5
Let b(x) be the third derivative of -1/630*x**7 + 0*x + 0*x**4 - 2*x**2 + 0*x**3 + 0 - 1/360*x**6 + 0*x**5. Factor b(o).
-o**3*(o + 1)/3
Let i(c) = c**3 + 10*c**2 - 12*c - 9. Suppose -2*p = 3*q + 34, -p - 7 = 3*q + 16. Let f be i(p). Determine o, given that 2/5 - 2/5*o**f + 0*o = 0.
-1, 1
Let z(g) = 4*g**5 - 4*g**4 + 5*g**3 - 5*g**2 + 5. Let n(r) = -5*r**5 + 5*r**4 - 6*r**3 + 6*r**2 - 6. Let i(j) = 5*n(j) + 6*z(j). Factor i(h).
-h**4*(h - 1)
Let s(j) be the first derivative of -j**4/16 + j**2/2 - 60. Factor s(k).
-k*(k - 2)*(k + 2)/4
Let l(c) = c**2 - 4*c - 5. Let a(t) = -t - 1. Let q(u) = -3*a(u) + l(u). Let q(i) = 0. Calculate i.
-1, 2
Let p(i) be the third derivative of i**6/300 - i**5/75 - 32*i**2. Determine a so that p(a) = 0.
0, 2
Find r, given that 10*r**2 - 8*r**5 + 35*r - 33*r + r**3 + 4*r**3 - 10*r**4 + r**3 = 0.
-1, -1/4, 0, 1
Let z = -1/144 + 437/720. What is w in 0*w + 0 - 1/5*w**2 + 1/5*w**5 - 3/5*w**4 + z*w**3 = 0?
0, 1
Suppose 2*a - 5*q = 0, 6*a = a - 5*q + 35. Factor s - s**a - s + s**3.
-s**3*(s - 1)*(s + 1)
Let p(o) be the first derivative of o**4/2 - o**2 - 4. Suppose p(q) = 0. Calculate q.
-1, 0, 1
Let x(k) be the third derivative of -7*k**5/20 - k**4/4 - 3*k**2. Factor x(r).
-3*r*(7*r + 2)
Let g be 1/(3 + (-16)/5). Let u = g - -7. Solve -2/3*f - 1/3*f**u - 1/3 = 0.
-1
Let w = 4 + -1. Let h be (0/(-1))/(w - 2). Solve -4*r**5 + 1/4*r**2 + 6*r**4 - 9/4*r**3 + h*r + 0 = 0 for r.
0, 1/4, 1
Let c(z) = -20*z**3 + 336*z**2 - 1920*z + 2560. Let u(q) = -4*q**3 + 67*q**2 - 384*q + 512. Let s(x) = 5*c(x) - 24*u(x). Factor s(n).
-4*(n - 8)**2*(n - 2)
Factor -b - 133/4*b**3 + 147/4*b**4 + 10*b**2 + 0.
b*(3*b - 1)*(7*b - 2)**2/4
Let j(x) = 19*x**2 - 37*x + 18. Let f(s) = -9*s**2 + 18*s - 9. Let r(m) = -13*f(m) - 6*j(m). Solve r(o) = 0.
1, 3
Let i(k) be the first derivative of k**3/15 - 3*k**2/10 + 2*k/5 + 10. Factor i(p).
(p - 2)*(p - 1)/5
Suppose 4*a = a. Suppose a*u - i = u + 2, -2*u - 3*i = 8. Factor -g + 7*g**u - 2*g + g.
g*(7*g - 2)
Let v(u) be the second derivative of u**6/35 - u**5/7 + 10*u**3/21 - 3*u**2/7 - 4*u. Let v(d) = 0. Calculate d.
-1, 1/3, 1, 3
Let 12*y**2 - 6*y**4 + 14*y + 6*y**4 + 4 - 3*y**4 - 2*y**3 - y**4 = 0. Calculate y.
-1, -1/2, 2
Let k be (5/(-3))/(1/(-3)). Find r such that -2*r**2 + 17*r - 2*r**2 - k*r = 0.
0, 3
Let v = -137/3 - -46. Let z = 44/3 + -14. Factor 0*g**2 - v*g**5 - 1/3*g**3 + 0 + z*g**4 + 0*g.
-g**3*(g - 1)**2/3
Let x(g) be the second derivative of -3*g**5/100 - g**4/20 + g**3/10 + 3*g**2/10 + 6*g. Factor x(m).
-3*(m - 1)*(m + 1)**2/5
Let n be 5 + 2/(-1) + 10/(-4). Factor 0*r + 3/4*r**4 + 0*r**2 + 0 - n*r**3.
r**3*(3*r - 2)/4
Let b(s) be the first derivative of -2/33*s**3 + 0*s + 1/22*s**4 - 1 + 2/55*s**5 - 1/11*s**2. What is f in b(f) = 0?
-1, 0, 1
Suppose 0 = j + 5*l + 25, -5*j - 5*l - 15 = -2*l. Suppose -4*p - 5*q = -18, j = 5*p + 5*q - q - 18. Find y, given that 0 - 1/2*y**p + 0*y = 0.
0
Suppose -5*h - 58 + 8 = 0. Let b = -8 - h. Solve -2/3*i + 2/3*i**5 + 4/3*i**b + 0*i**3 - 4/3*i**4 + 0 = 0 for i.
-1, 0, 1
Let n(j) be the first derivative of -9/4*j**4 - 4*j**3 - 2/5*j**5 + 0*j + 3 - 2*j**2. Factor n(z).
-z*(z + 2)**2*(2*z + 1)
Let d = 23 - 19. Find f such that -8/3*f**2 + 10/3*f**d - 4*f**3 - 2/3*f**5 + 0 + 16/3*f = 0.
-1, 0, 2
Let w(t) = -t**3 - 4*t**2 + 5*t + 2. Let y be w(-5). Let p be (y/(-4))/(1/(-6)). Factor 3*l - l**2 + 0 + 1 - p.
-(l - 2)*(l - 1)
Let x = 10 - 5. Let a be x/2*(-4)/(-5). Determine k so that -k**2 - a - 4*k**4 + 2 + k**4 + k**5 + 3*k**3 = 0.
0, 1
Factor 0*l**4 + 3*l**3 - 3/2*l + 0*l**2 + 0 - 3/2*l**5.
-3*l*(l - 1)**2*(l + 1)**2/2
Let w = 41/39 - 5/13. Suppose 0 = 3*v - 9. Find g, given that -10/3*g - 2*g**v + w + 14/3*g**2 = 0.
1/3, 1
Let r(o) be the third derivative of -o**8/1680 - o**7/350 - o**6/600 + o**5/100 + o**4/60 + 18*o**2. Determine j so that r(j) = 0.
-2, -1, 0, 1
Factor 8 - 4/3*u**2 - 20/3*u.
-4*(u - 1)*(u + 6)/3
Let u(j) = j - 1. Let n(w) = -w**2 - 3*w + 6. Let f(q) = 3*n(q) + 12*u(q). Factor f(h).
-3*(h - 2)*(h + 1)
Let h(m) = 2 - 1 - 2. Let c(g) = g**2 + 5*g - 5. Let o(q) = -2*q**2 - 9*q + 9. Let j(b) = -7*c(b) - 4*o(b). Let d(k) = 2*h(k) - 2*j(k). What is s in d(s) = 0?
-1, 0
Let o = -63 + 66. Let l(f) = f + 5. Let i be l(0). Factor