*3
Let r be (-2463)/45 - 4/(-10). Let b = r + 55. Suppose 0*u**4 - 4/3*u**3 + 0*u**2 + b*u + 0 + 2/3*u**5 = 0. Calculate u.
-1, 0, 1
Let v be (1 + -3)/(1/1). Let i be 4/16*(0 - v). Factor -i*u**2 + 0 + 5*u**3 - u.
u*(2*u - 1)*(5*u + 2)/2
Let k(b) be the third derivative of b**7/1680 - b**6/320 + b**5/480 + b**4/64 - b**3/24 - 24*b**2. Factor k(p).
(p - 2)*(p - 1)**2*(p + 1)/8
Let o(f) be the second derivative of -9/40*f**5 - 3/2*f**2 - 2*f + 0 - 3/2*f**3 - 13/16*f**4 - 1/40*f**6. Factor o(r).
-3*(r + 1)**2*(r + 2)**2/4
Let n(g) = -2*g**2 + 20*g + 100. Let l(v) = v**2. Let c(m) = -6*l(m) - 2*n(m). Factor c(z).
-2*(z + 10)**2
Factor 7 + 4*q**2 - 7*q**2 - 4.
-3*(q - 1)*(q + 1)
Factor 4/5*y**4 + 0*y + 4/5*y**3 + 0 + 0*y**2.
4*y**3*(y + 1)/5
Factor 1/2*f + 1/2*f**2 - 1/2*f**3 - 1/2.
-(f - 1)**2*(f + 1)/2
Let w(k) be the first derivative of -k**7/2310 + k**6/396 - k**5/165 + k**4/132 + 4*k**3/3 + 3. Let c(r) be the third derivative of w(r). What is f in c(f) = 0?
1/2, 1
Let l(t) be the first derivative of 5 + 1/10*t**5 + 0*t**3 + 0*t**2 + 0*t + 0*t**4. Find b such that l(b) = 0.
0
Let v(l) be the first derivative of -l**5/50 - l**4/30 + l**3/15 + l**2/5 + 3*l - 3. Let a(j) be the first derivative of v(j). Factor a(x).
-2*(x - 1)*(x + 1)**2/5
Suppose -63 = -5*f + 3*a, -f - 3*f = a - 64. Suppose i + f = 6*i. Determine y so that -y**4 - y + y**3 - 4*y**i - y**2 - 2*y**2 = 0.
-1, 0
Factor -15*n + 112*n**3 - 12*n**2 - 54*n**3 - 61*n**3 - 6.
-3*(n + 1)**2*(n + 2)
Let f(o) be the first derivative of -o**5/5 - 5*o**4/2 - 32*o**3/3 - 16*o**2 - 27. Factor f(y).
-y*(y + 2)*(y + 4)**2
Factor 0*s + 0 + 3/4*s**2.
3*s**2/4
Find i such that -2*i**5 - 6*i**4 + 6*i**2 - 6*i**2 + 8*i**2 = 0.
-2, 0, 1
Let n(x) be the second derivative of -x**8/16800 - x**7/3150 - x**6/1800 - 3*x**4/4 - x. Let w(f) be the third derivative of n(f). Factor w(q).
-2*q*(q + 1)**2/5
Let v(f) be the second derivative of 3*f**7/14 + f**6/10 - 7*f**5/10 - f**4/6 + 5*f**3/6 - f**2/2 - 7*f. Suppose v(d) = 0. Calculate d.
-1, 1/3, 1
Let j(n) = -7*n**3 - 8*n**2 + 4*n + 11. Let l(g) = 2*g**3 + 2*g**2 - g - 3. Let a(x) = -6*j(x) - 22*l(x). Solve a(q) = 0.
0, 1
Let y be 2/(0/(-2) - -3). Let s = 10 - 10. Find d such that -2/3*d + s - y*d**3 - 4/3*d**2 = 0.
-1, 0
Let s be (2/9)/((-4)/(-3)). Let a(d) be the second derivative of 0 - s*d**4 + 0*d**3 + d**2 + 3*d. Suppose a(i) = 0. Calculate i.
-1, 1
Let n(m) = -m**5 + 5*m**4 - 8*m**3 + 12*m**2 - 7*m - 1. Let c be 2 + -6 + 2 + 1. Let d(x) = -x**3 - x**2 + x + 1. Let j(g) = c*n(g) - 2*d(g). Factor j(v).
(v - 1)**5
Let v be 12*(2 - 3)*-1. Let b = v + -10. Find o such that -1/3 + 1/3*o**b + 1/3*o - 1/3*o**3 = 0.
-1, 1
Let a = -3 - -6. Determine x, given that -1 + 3 + x**2 - a*x**2 + 0*x**2 = 0.
-1, 1
Suppose 0 = -2*v + 7*v - 50. Let u be 6/v - 1/(-5). Factor -2/5 + w + 1/5*w**3 - u*w**2.
(w - 2)*(w - 1)**2/5
Let p(w) be the first derivative of w**3/2 - 3*w**2/2 - 9*w/2 - 10. Find z such that p(z) = 0.
-1, 3
Suppose -4*x - 5 = -5*x. Factor 3*o - 3*o**x - 2*o**2 + 3*o**4 - 13*o**2 + 3*o + 9*o**3.
-3*o*(o - 1)**3*(o + 2)
Factor -f - 2*f**2 + 3*f - 8*f - 6*f - 18.
-2*(f + 3)**2
Let r(a) be the first derivative of 2*a**3/39 - a**2/13 - 4*a/13 + 26. Factor r(s).
2*(s - 2)*(s + 1)/13
Let r(f) be the second derivative of f**7/357 - f**5/85 + f**3/51 - 2*f. Find j such that r(j) = 0.
-1, 0, 1
Let x(o) be the first derivative of -4*o**3/3 - 4*o**2 - 4*o - 5. Factor x(n).
-4*(n + 1)**2
Let b(j) be the second derivative of j**6/195 + j**5/26 + 3*j**4/26 + 7*j**3/39 + 2*j**2/13 - 22*j. Suppose b(f) = 0. Calculate f.
-2, -1
Let j be ((-3)/4)/(27/(-72)). Let r = -28 - -141/5. Factor 0*x + r*x**j + 0.
x**2/5
Let s(t) be the second derivative of -t**6/120 + 7*t**5/80 - 3*t**4/8 + 5*t**3/6 - t**2 - 17*t. Suppose s(u) = 0. What is u?
1, 2
Let y = -46/33 + 30/11. Factor 2/3*q**2 + y + 2*q.
2*(q + 1)*(q + 2)/3
Let p be ((-2)/45)/((-2)/6). Let u(c) be the first derivative of 1 - p*c**3 - 1/5*c**2 + 0*c. Factor u(o).
-2*o*(o + 1)/5
Let p(u) be the first derivative of -11/2*u**4 + 6*u**3 - u**2 + 8/5*u**5 - 2 - 2*u. Suppose p(q) = 0. Calculate q.
-1/4, 1
Let j(u) be the second derivative of -u**5/20 + 5*u**4/12 - u**3/3 - 3*u**2 - 7*u. Let z be j(4). Factor -2/9 + 14/9*y**3 - 4/9*y**4 + 10/9*y - z*y**2.
-2*(y - 1)**3*(2*y - 1)/9
Let h(n) = -n. Let d be h(-1). Suppose v + d = 3. Factor -4*o - v - 2*o**2 + 2 - 2.
-2*(o + 1)**2
Suppose -8 = -7*q + 3*q. Let u(d) be the second derivative of 1/8*d**q + 0*d**3 + d - 1/48*d**4 + 0. Factor u(w).
-(w - 1)*(w + 1)/4
Let t(j) = 10*j - 8. Let d be t(1). Let b(z) be the second derivative of 1/3*z**3 + 0 + 1/6*z**4 - 2*z**2 + d*z. Solve b(p) = 0.
-2, 1
Let r(c) be the third derivative of c**7/3360 - c**5/480 + c**3/3 + 3*c**2. Let i(m) be the first derivative of r(m). Suppose i(p) = 0. Calculate p.
-1, 0, 1
Let u(i) be the second derivative of -i**4/12 + i**3/6 - 7*i. Find r such that u(r) = 0.
0, 1
Let t(i) be the second derivative of i**6/180 - i**4/12 + i**3/2 + i. Let c(g) be the second derivative of t(g). Solve c(h) = 0 for h.
-1, 1
Factor 3*l**2 + 11 - 5 + l**2 - 5*l**2 - l.
-(l - 2)*(l + 3)
Let x(r) = -r**2 - 2*r + 3. Let o be x(-3). Let t(v) be the first derivative of 1/6*v**3 - 2 - 1/8*v**4 + 0*v**2 + o*v. Let t(i) = 0. Calculate i.
0, 1
Suppose -2*o + 5*q = 15, 2*o + 3*q = q + 6. Let v(x) be the first derivative of 0*x**4 - 2/35*x**5 - 2 + o*x + 2/21*x**3 + 0*x**2. Solve v(k) = 0.
-1, 0, 1
Factor -5*s + 2*s**3 - 3*s + 6*s.
2*s*(s - 1)*(s + 1)
Factor -2/3*v**2 + 0 - v**3 + 1/3*v.
-v*(v + 1)*(3*v - 1)/3
Let c be 2/1 + (-1 - -3). Let f(n) = n**4 - 5*n**3 + 4*n**2. Let k(m) = -m**4 + 4*m**3 - 3*m**2. Let t(z) = c*f(z) + 5*k(z). Determine y so that t(y) = 0.
-1, 0, 1
Let y(r) = -3*r**4 + 11*r**3 + 3*r**2. Let h(q) = -q**4 + 3*q**3 + q**2. Let u(c) = 22*h(c) - 6*y(c). Factor u(o).
-4*o**2*(o - 1)*(o + 1)
Let i(r) be the third derivative of r**6/960 - r**4/192 - 11*r**2. Factor i(z).
z*(z - 1)*(z + 1)/8
Let f(x) = 22*x + 4. Let l be f(2). Let n = l - 46. Factor -1/2*s**3 + 1/2*s**n + 0 + 1/2*s - 1/2*s**4.
-s*(s - 1)*(s + 1)**2/2
Let r = 46/5 + -547/60. Let s(y) be the third derivative of 0 + 0*y + y**2 - r*y**3 - 1/24*y**4 - 1/120*y**5. Factor s(d).
-(d + 1)**2/2
Let z(d) be the first derivative of d**5/20 - d**4/8 - d**3/4 + d**2/2 + d - 56. Solve z(f) = 0 for f.
-1, 2
Let b(f) be the second derivative of -f**4/6 + f**2 - f. Solve b(a) = 0 for a.
-1, 1
Let n(v) be the first derivative of -v**6/42 - 3*v**5/35 - v**4/14 - 19. Solve n(q) = 0.
-2, -1, 0
Factor -1/2 + 0*k**3 - 1/2*k**4 + k**2 + 0*k.
-(k - 1)**2*(k + 1)**2/2
Let m(s) be the third derivative of 5*s**8/1344 + s**7/168 - s**6/48 - 14*s**2. Factor m(l).
5*l**3*(l - 1)*(l + 2)/4
Suppose 0 = -2*l - l - 30. Let q = l - -12. Suppose 7*f**q - 2*f**4 + 9*f**3 + 5*f**4 + 3*f**2 - 4*f**2 = 0. Calculate f.
-2, -1, 0
Suppose -2*h**3 + 2/3*h**4 + 0 + 0*h + 4/3*h**2 = 0. Calculate h.
0, 1, 2
Let -24/5*g**2 - 39/5*g + 21/5*g**3 + 6/5 = 0. Calculate g.
-1, 1/7, 2
Let t = 15 - 10. Factor -5*s**2 - s**2 + 4*s**3 - 3*s**t + 5*s**3.
-3*s**2*(s - 1)**2*(s + 2)
Let s(d) = -4*d**2 - 4*d + 3. Let l(i) = -2*i**2 - 2*i + 1. Suppose w - 2 = -5. Let a(h) = w*s(h) + 5*l(h). Solve a(m) = 0.
-2, 1
Let o(r) be the first derivative of 0*r**4 + 0*r**2 + 4/21*r**3 - 2/35*r**5 + 3 - 2/7*r. Factor o(a).
-2*(a - 1)**2*(a + 1)**2/7
What is v in -1/3*v - 1/3*v**5 + 1/6 + 2/3*v**3 + 1/6*v**4 - 1/3*v**2 = 0?
-1, 1/2, 1
Let i(t) be the first derivative of t**6/1620 - t**5/270 + t**4/108 - t**3/3 + 3. Let b(s) be the third derivative of i(s). Factor b(n).
2*(n - 1)**2/9
Let l be (-10)/(-6) - (-1)/3. Suppose v + 5 = l*v. Factor 2/3*c**3 - 2/3*c**2 + 0 - 2/3*c**v + 2/3*c**4 + 0*c.
-2*c**2*(c - 1)**2*(c + 1)/3
Let w(a) be the first derivative of -a**6/360 - a**5/60 - a**4/24 - 2*a**3/3 - 1. Let d(o) be the third derivative of w(o). Factor d(k).
-(k + 1)**2
Suppose -4*h + 2*h + 6 = 0. Factor i**4 - 2*i**3 + 0*i**h - 5*i**4 + 2*i**5 + 4*i**2.
2*i**2*(i - 2)*(i - 1)*(i + 1)
Let b(y) be the second derivative of 0*y**2 + 0*y**3 - 1/30*y**5 + 0 + y - 1/9*y**4. Solve b(o) = 0.
-2, 0
Determine m so that 6*m**3 + 4*m**2 - 28*m**4 + 4*m**3 - 8*m + m**3 + 13*m**3 + 8*m**5 = 0.
-1/2, 0, 1, 2
Let v = -1 + 2. Let b be (2/v)/((-10)/(-15)). F