 - x**4 - x**3 + x**2 + x. Let q(r) = m(r) - 6*v(r). Solve q(j) = 0 for j.
-1, 0, 1
Find y such that 8/3*y**4 + 2/3*y + 0 + 2/3*y**5 + 4*y**3 + 8/3*y**2 = 0.
-1, 0
Factor -4/3*d**3 + 2*d**5 + 0*d**2 - 10/3*d**4 + 0 + 0*d.
2*d**3*(d - 2)*(3*d + 1)/3
Let l(m) be the second derivative of 3*m**5/20 - 3*m**4/4 + m**3 + 6*m. Factor l(t).
3*t*(t - 2)*(t - 1)
Let f(y) be the first derivative of -y**4/8 - 3*y**3/2 - 27*y**2/4 - 27*y/2 - 3. Factor f(r).
-(r + 3)**3/2
Let y = -38 - -35. Let o(r) = r**4 + 6*r**3 - 8*r**2 + 2*r - 3. Let a(i) = 9*i**2 - 2*i**4 - 4 - 7*i**3 - i + 4 + 4. Let b(k) = y*o(k) - 2*a(k). Factor b(g).
(g - 1)**4
Let g(q) be the third derivative of q**7/210 + q**6/90 - q**5/180 - q**4/36 - 5*q**2. Factor g(h).
h*(h + 1)**2*(3*h - 2)/3
Let y = -11311/4 + 2880. Let l = y - 52. Factor l*k**2 + 1/4*k - 1/2.
(k - 1)*(k + 2)/4
Suppose 4*n - n + 6 = 0. Let c be 1 + n + (-12)/(-3). What is g in -5*g**4 - 1 - c*g - 10*g**3 + 0 - 10*g**2 - g**5 - 2*g = 0?
-1
Factor -14*k - 34*k + 15*k**4 - 63*k**2 - 2*k**5 + 5*k**5 + 6*k**5 - 21*k**3 - 12.
3*(k - 2)*(k + 1)**3*(3*k + 2)
Let i be (-148)/(-2368)*(6/2 - 1). Factor i*k + 1/4 - 1/8*k**2.
-(k - 2)*(k + 1)/8
Let i(d) = -1. Suppose -6 = -h - 1. Let l(u) = -3 - u**2 - 4*u + h + u. Let w(g) = 4*i(g) + l(g). Factor w(f).
-(f + 1)*(f + 2)
Let d(o) be the first derivative of o**3/12 - 5*o**2/4 + 25*o/4 + 3. Solve d(n) = 0 for n.
5
Let x(d) be the first derivative of 3*d**5/5 + 3*d**4/4 - 12. Factor x(t).
3*t**3*(t + 1)
Let i be (1 - 3) + -1 - -8. Suppose -i*d + d = -12. Factor -3*g - 3*g + g**2 - d*g**2.
-2*g*(g + 3)
Let o(j) = 1 - j**2 + 3*j - 3*j. Let w(f) = -3*f**2 + 4*f + 0*f**2 - 2*f**2. Let n(c) = 4*o(c) - w(c). Factor n(r).
(r - 2)**2
Suppose -2*n = -2*j - 0*n - 392, 2*j + 5*n = -364. Let z be (-10)/(-65) + j/(-273). Factor -z*v**3 - 8/7*v**2 + 4/7 + 2/7*v.
-2*(v + 1)**2*(3*v - 2)/7
Factor 4*v**2 - 4*v**3 + 0 - 7*v + 15*v + 0.
-4*v*(v - 2)*(v + 1)
Find b, given that 27*b**3 - 20*b**3 - 8*b**2 - 12*b**3 - 2*b**2 = 0.
-2, 0
Let c be 8/3*(-21)/(-14). Let d(j) be the third derivative of -2*j**2 + 0 + 1/132*j**c - 1/1155*j**7 + 1/330*j**5 + 0*j**3 - 1/660*j**6 + 0*j. Solve d(i) = 0.
-1, 0, 1
Suppose -3*p - 3*u + 18 = 0, 14 = -6*p + 3*p + 5*u. Factor -1/2*y**p - 1/2*y**3 + 1/2 + 1/2*y.
-(y - 1)*(y + 1)**2/2
Suppose v - 4*u - 2 = 0, 4*u - 3 - 7 = -v. Factor -4*m**4 - 4*m**4 - 12*m**3 + 3*m**2 - m**4 - v*m**2.
-3*m**2*(m + 1)*(3*m + 1)
Let r(y) be the third derivative of y**5/60 + y**4/12 - 15*y**2. Suppose r(g) = 0. What is g?
-2, 0
Let g(s) be the second derivative of 23/9*s**3 - 2*s**2 - 7/18*s**4 - 4*s + 0. Factor g(z).
-2*(z - 3)*(7*z - 2)/3
Find z such that -7 + 12 + 10*z**3 - 10*z + z**4 - 3*z**4 - 3*z**4 = 0.
-1, 1
Let y(l) be the first derivative of -7/15*l**3 + 3/20*l**4 + 0*l + 1/5*l**2 - 5. Suppose y(k) = 0. Calculate k.
0, 1/3, 2
Suppose -3/4*x**5 - 12*x - 57/4*x**3 - 21/4*x**4 - 3 - 75/4*x**2 = 0. What is x?
-2, -1
Let v(r) be the second derivative of -2*r**6/15 + 4*r**5/5 - 4*r**4/3 - 6*r. Suppose v(k) = 0. What is k?
0, 2
Let i(b) = -9*b**5 - 4*b**4 + 3*b**3 - 2*b**2 + 4. Let a(j) = -19*j**5 - 7*j**4 + 7*j**3 - 5*j**2 + 9. Let z(r) = -4*a(r) + 9*i(r). Factor z(v).
-v**2*(v + 1)**2*(5*v - 2)
Let s(i) = 5*i**4 + i**3 - 6*i**2 + 2. Let f(u) = -16*u**4 - 2*u**3 + 18*u**2 - 7. Let o(y) = -2*f(y) - 7*s(y). Factor o(w).
-3*w**2*(w - 1)*(w + 2)
Suppose -5*f + 5 - 55 = -4*w, -4*f - 34 = -2*w. Let o be -1*(-2)/f*-12. Find g such that -2*g**4 + 0*g + 2/3 + 16/3*g**3 - o*g**2 = 0.
-1/3, 1
Let z = 43/3 + -14. Let c(n) be the first derivative of -1/2*n**2 + 0*n + 2 + z*n**3 - 1/16*n**4. Suppose c(b) = 0. Calculate b.
0, 2
Let v(f) = f**5 - f**4 - f**2 + f - 1. Let x(m) = 3*m**4 + m**3 + m**2 - m + 1. Suppose c = 2 - 3. Let a(s) = c*x(s) - v(s). Determine n so that a(n) = 0.
-1, 0
Solve -1/2*o**2 - 1/2*o + 1 = 0.
-2, 1
Suppose 0 = 397*u - 400*u. Find m, given that 1/3*m**4 + m**2 + 1/3*m + m**3 + u = 0.
-1, 0
Let x(z) be the first derivative of -z**4/2 + 4*z**3/3 + 3*z**2 + 28. Factor x(c).
-2*c*(c - 3)*(c + 1)
Let k(r) be the first derivative of -5*r**3/3 + 5*r - 22. Suppose k(v) = 0. Calculate v.
-1, 1
Let m(f) = -f**2. Let i(q) = q**2 + q. Let y(j) = -i(j) - 2*m(j). Factor y(s).
s*(s - 1)
Factor 4/9 - 2/9*l**2 - 2/9*l.
-2*(l - 1)*(l + 2)/9
Let l(a) be the second derivative of -a**4/9 - a**3/18 + a**2/2 - a. Determine c, given that l(c) = 0.
-1, 3/4
Let h(u) = -9*u**5 + 48*u**4 - 72*u**3. Let q(a) = a**5 - 6*a**4 + 9*a**3. Let n(g) = 4*h(g) + 33*q(g). Let n(b) = 0. What is b?
-3, 0, 1
Let h = 749/3695 - 2/739. What is z in -h*z + 0 + 0*z**2 + 1/5*z**3 = 0?
-1, 0, 1
Let s(b) be the first derivative of 1/21*b**6 + 4/21*b**3 + 1/7*b**2 - 2/35*b**5 - 9 - 1/7*b**4 - 2/7*b. Let s(t) = 0. What is t?
-1, 1
Let f(d) be the second derivative of d**6/30 - 4*d**5/35 + 11*d**4/84 - d**3/21 - 5*d. Suppose f(b) = 0. Calculate b.
0, 2/7, 1
Let w(m) be the first derivative of -2*m**5/55 - 4*m**4/11 - 16*m**3/11 - 32*m**2/11 - 32*m/11 - 13. Factor w(i).
-2*(i + 2)**4/11
Let i(a) be the third derivative of a**8/3024 + 2*a**7/945 + a**6/1080 - a**5/54 - a**4/54 + 4*a**3/27 + 8*a**2. Factor i(l).
(l - 1)**2*(l + 2)**3/9
Let f(p) = -4*p**2 - 19*p + 12. Let d(y) = y**2 + 6*y - 4. Let n(t) = -14*d(t) - 4*f(t). Factor n(k).
2*(k - 2)**2
Let v(k) be the third derivative of k**7/70 - k**6/20 + k**4/4 - k**3/2 + 9*k**2. Find q such that v(q) = 0.
-1, 1
Let i = 41 - 26. Factor 3*p + 3*p - i*p**2 + 12*p**2.
-3*p*(p - 2)
Let -6*t**2 + 8*t**2 - 2 + 3*t**2 + 3*t = 0. Calculate t.
-1, 2/5
Let l(t) be the first derivative of 2*t**5/35 + t**4/7 - 2*t**3/21 - 2*t**2/7 + 36. Suppose l(p) = 0. Calculate p.
-2, -1, 0, 1
Find h, given that h**4 - 4024*h + 4017*h - 5*h**3 - 17*h**2 + 4*h**2 = 0.
-1, 0, 7
Let j be 23/39 - 1/(5 - 8). Factor 0 + 18/13*m + j*m**2 + 2/13*m**3.
2*m*(m + 3)**2/13
Let t be (-1299)/(-27) + (-10)/(-45). Let v = -48 + t. Factor 0*l - v*l**2 - 2/3*l**3 + 0 - 1/3*l**4.
-l**2*(l + 1)**2/3
Let x(n) be the second derivative of n**6/30 + n**5/20 - n**4/12 - n**3/6 + 25*n. Let x(b) = 0. Calculate b.
-1, 0, 1
Let f be (-1)/(3 + 26/(-8)). Let v(w) be the first derivative of -1/5*w**3 - 1/5*w - 2 - 3/10*w**2 - 1/20*w**f. Factor v(j).
-(j + 1)**3/5
Let z(n) = -n**3 - 4*n**2 - 5*n - 3. Let y be z(-3). Solve -2 - f - y*f**2 + 2*f - 4 + 8*f = 0.
1, 2
Let h be (-190)/70 - -9 - 6. Factor -3/7*k + h + 1/7*k**2.
(k - 2)*(k - 1)/7
Suppose -8*x - 3*x = 0. Let x - 2/5*s**3 + 2/5*s**2 + 2/5*s - 2/5*s**4 = 0. What is s?
-1, 0, 1
Let p(r) be the first derivative of 0*r + 2/3*r**3 + 0*r**2 + 4. Solve p(w) = 0.
0
Let w = 89/30 + -23/10. Let s be 1*((-1)/1)/(-3). Let w - 1/3*y**2 - s*y = 0. What is y?
-2, 1
Let r be (-2)/8 + (-68)/(-16). Let q be (-2)/((-23)/r - -3). Factor 32/11*g - 50/11*g**3 - q - 10/11*g**2.
-2*(g + 1)*(5*g - 2)**2/11
Let u(f) be the second derivative of f**5/120 + f**4/18 + f**3/9 - 4*f. Factor u(o).
o*(o + 2)**2/6
Let g(b) be the third derivative of -b**8/504 - 4*b**7/315 - b**6/30 - 2*b**5/45 - b**4/36 - b**2. Let g(s) = 0. What is s?
-1, 0
Let z(b) be the second derivative of b**6/30 + b**5/10 + b**4/12 + 12*b. What is v in z(v) = 0?
-1, 0
Suppose 0 = 2*o + 2*d + 2, 3*o + d = 3*d + 12. Suppose -4*v**2 - 18*v**4 - 6*v**o - 2*v - 4*v**2 - 30*v**3 = 0. What is v?
-1, -1/3, 0
Let j = -131/5 + 27. Factor 14/5*a - 14/5*a**3 - j + 4/5*a**2.
-2*(a - 1)*(a + 1)*(7*a - 2)/5
Let d(u) = u**3 - 5*u**2 + 4*u + 2. Let y be d(4). Determine p so that -18/7 - 2/7*p**y + 12/7*p = 0.
3
Let t(i) be the second derivative of -3*i**6/10 - 3*i**5/4 - 13*i**4/48 + 5*i**3/12 - i**2/8 + 33*i. Factor t(d).
-(d + 1)**2*(6*d - 1)**2/4
Factor -1/4*f**2 - 1/2*f - 1/4.
-(f + 1)**2/4
Suppose -4*l - 1 = c + 3, 1 = -l. Let v be 42/(-28)*(-1)/3. Factor 1/4*f**4 + 1/2*f + c*f**2 - v*f**3 - 1/4.
(f - 1)**3*(f + 1)/4
Let s be 15/6 - 1/(-2). Factor -s*o - 5*o**2 - o + 2*o.
-o*(5*o + 2)
Solve -1/2*i**2 - 4 + 3*i = 0.
2, 4
Factor -2/9*l**5 + 0*l - 2/9*l**4 + 0*l**2 + 4/9*l**3 + 0.
-2*l**3*(l - 1)*(l + 2)/9
Let b(p) be the first derivative of -8*p + 4*p**2 + 2/5*p**5 + 7 - 2*p**4 + 2*p**3. Solve b(j) = 0.
-1, 1, 2
Let o(v) be the second derivative of -v**8/16800 - v**7/3150 + v**6/1800 + v**5/150 - v**4/3 + 2*v. Let w(n) be the third derivative of o(n). Factor w(l