of j(i). Factor x(t).
t*(t + 1)**2*(3*t - 1)/3
Let r(z) = -2*z**2 - 6*z - 10. Let a(p) = p**2 + p - 1. Let m(o) = 6*a(o) + r(o). Factor m(v).
4*(v - 2)*(v + 2)
Suppose 0 + 6/5*y**5 + 4/5*y - 22/5*y**4 + 6*y**3 - 18/5*y**2 = 0. What is y?
0, 2/3, 1
Let j(z) be the third derivative of 0*z**4 - 3*z**2 + 1/315*z**7 + 0 - 1/90*z**6 + 0*z**3 + 1/90*z**5 + 0*z. Factor j(m).
2*m**2*(m - 1)**2/3
What is x in 5*x**4 + 17*x**2 - 5*x + 4*x**4 - 9*x**2 - 2 + 17*x**3 - 3*x**4 = 0?
-2, -1, -1/3, 1/2
Let 16/7*m**3 - 4/7*m**4 + 16/7 - 12/7*m**2 - 16/7*m = 0. What is m?
-1, 1, 2
Suppose -3*h - 4 = -4*n, -n + 0*n + 24 = 5*h. Let -2*u**2 - 4*u**n - 2*u**5 - 2*u**3 + 2*u**2 = 0. What is u?
-1, 0
Factor 2/5*j - 2/5*j**3 + 0 + 2/5*j**2 - 2/5*j**4.
-2*j*(j - 1)*(j + 1)**2/5
Let u(z) = 1 + 2*z**2 + 0*z**5 + z**4 - z - 2*z**2 - z**5. Let w(d) = 14*d**5 - 8*d**4 - 4*d**3 - 16*d**2 - 2*d - 16. Let c(f) = 12*u(f) + w(f). Factor c(n).
2*(n - 2)*(n + 1)**4
Let b(i) = i**2 - 4*i**3 - i - 13*i**4 + 12*i**4 - i. Let l(v) = 3*v**4 + 9*v**3 - 2*v**2 + 5*v. Let x(m) = 5*b(m) + 2*l(m). Factor x(r).
r**2*(r - 1)**2
Let l(i) be the first derivative of -3*i**4/4 - 11*i**3/3 - 6*i**2 - 4*i + 3. Let l(o) = 0. Calculate o.
-2, -1, -2/3
Suppose 24 = 5*s + r, -4*s + 5 = -2*s + 5*r. Find y such that -24*y**3 - 4*y - 1 + 1 - y**s - 16*y**4 - 3*y**5 - 16*y**2 = 0.
-1, 0
Factor 3*w**3 - 4*w + 0*w**2 + 3*w**2 + w**2.
w*(w + 2)*(3*w - 2)
Factor 28/5*p**2 + 8/5*p + 4*p**4 + 0 + 4/5*p**5 + 36/5*p**3.
4*p*(p + 1)**3*(p + 2)/5
Let c(p) = 12*p**5 - 10*p**4 - 2*p**3 + 7*p**2 - 7. Let n(d) = -11*d**5 + 10*d**4 + d**3 - 6*d**2 + 6. Let y(i) = -6*c(i) - 7*n(i). Factor y(v).
5*v**3*(v - 1)**2
Let y be 108/(-6)*(-2)/3. Determine l so that -3*l**3 - y*l**2 - l**3 + 0*l**3 = 0.
-3, 0
Let n = -105 - -841/8. Let q(f) be the second derivative of 0*f**2 + n*f**3 + f + 0 + 0*f**4 - 3/80*f**5. Factor q(g).
-3*g*(g - 1)*(g + 1)/4
Let i(w) be the third derivative of -w**7/945 + w**6/108 + 17*w**2. What is h in i(h) = 0?
0, 5
Solve 1 - 1/3*y**3 - 7/3*y + 5/3*y**2 = 0.
1, 3
Let n(q) be the first derivative of -q**4/22 - 14*q**3/11 - 9*q**2 + 22*q - 23. Factor n(p).
-2*(p - 1)*(p + 11)**2/11
Let x be 3 - ((-12)/(-3) + -6). Let 14/5*p**2 - 14/5*p**4 + 2*p**x - 4/5*p + 0 - 6/5*p**3 = 0. Calculate p.
-1, 0, 2/5, 1
Let c be 5/((-20)/6) + 2. Suppose 3/4*p - c - 1/4*p**2 = 0. What is p?
1, 2
Let v(a) be the second derivative of -2*a**7/7 + 2*a**6/3 + 11*a**5/5 - 3*a**4 - 32*a**3/3 - 8*a**2 + 9*a. Let v(i) = 0. What is i?
-1, -1/3, 2
Factor -2/7*c + 0 - 2/7*c**2.
-2*c*(c + 1)/7
Let s(j) = 2*j**2 - 7*j - 39. Let g be s(-3). Find i such that 50/17*i**4 + 42/17*i**3 - 4/17*i + g + 18/17*i**5 + 6/17*i**2 = 0.
-1, 0, 2/9
Let y(b) be the first derivative of b**3/9 + b**2 + 3*b + 5. Determine x so that y(x) = 0.
-3
Suppose 3*p + 23 = 5*i - 22, 27 = 3*i - 2*p. Let d = 1 + i. Suppose -6*w**2 + w**4 + 7*w**4 - 8*w**3 - 2*w**5 + d*w - 4 + 2*w**2 = 0. What is w?
-1, 1, 2
Let q = 51/10 + -5. Let a(u) be the second derivative of 1/15*u**3 - 1/60*u**4 + 0 - u - q*u**2. Factor a(l).
-(l - 1)**2/5
Let s(z) be the third derivative of -1/30*z**5 + 0*z + 0*z**3 - 1/336*z**8 + 1/105*z**7 + z**2 + 0 + 1/24*z**4 + 0*z**6. Factor s(d).
-d*(d - 1)**3*(d + 1)
Let k(q) = -4*q**2 + q + 3. Let w(h) = 3*h**2 - 2*h - 2. Let t(f) = -2*k(f) - 3*w(f). Factor t(u).
-u*(u - 4)
Let b(s) be the third derivative of s**10/100800 - s**8/4480 - s**7/1680 + s**5/60 - 4*s**2. Let f(v) be the third derivative of b(v). Factor f(h).
3*h*(h - 2)*(h + 1)**2/2
Factor 3*a + 10*a**4 - 21 + 21 - 16*a**3 + a + 2*a**2.
2*a*(a - 1)**2*(5*a + 2)
Let h be (1 - (-5)/3)*24/16. Let f(x) be the third derivative of 1/105*x**7 + 0 + 4/3*x**3 - 1/10*x**5 + 0*x - 2*x**2 - 1/30*x**6 + 1/3*x**h. Factor f(b).
2*(b - 2)**2*(b + 1)**2
Let b = 67 + -199/3. Factor -1/3 + 2/3*z + 0*z**2 - b*z**3 + 1/3*z**4.
(z - 1)**3*(z + 1)/3
Let s(m) = 5*m**3 + 5*m**2 - 3*m + 3. Let i(v) = 4*v**2 + 17*v**3 - 14*v + 20*v**2 + 14 + 7*v**3. Let q(h) = 3*i(h) - 14*s(h). Suppose q(u) = 0. Calculate u.
-1, 0
Let c(a) = -7*a**2 - 5*a + 6. Let f(p) be the third derivative of -13*p**5/60 - 3*p**4/8 + 11*p**3/6 + 5*p**2. Let t(x) = -11*c(x) + 6*f(x). Factor t(y).
-y*(y - 1)
Factor -3/2 - 3/2*g**2 - 3*g.
-3*(g + 1)**2/2
Let t(p) = -3*p**3 + p**2 + 2. Let n(l) = 13*l**3 - 4*l**2 + l - 9. Let o be 10/4*(-8)/(-10). Let d(y) = o*n(y) + 9*t(y). Factor d(j).
-j*(j - 2)*(j + 1)
Let n be 0*((-10)/4)/5. Factor 0*y + n*y**2 + 2*y**2 - 2*y.
2*y*(y - 1)
Suppose 0 = 5*v - 61 + 11. Let n be (12/21)/(v/7). Factor 4/5*s**2 + 2/5*s - n.
2*(s + 1)*(2*s - 1)/5
Let r(y) = y**3 - 5*y**2 - 6*y. Let z be r(6). Find v such that 0*v + 3/2*v**2 - 3/4*v**4 - 3/4 + z*v**3 = 0.
-1, 1
Let t = -1 - -1. Factor -2*c + c**2 + 0*c**2 + t*c**2 + 0*c**2.
c*(c - 2)
Let a(v) be the second derivative of 5*v**7/42 + 7*v**6/6 + 4*v**5 + 5*v**4 + 9*v. Factor a(s).
5*s**2*(s + 2)**2*(s + 3)
Suppose 4*l - 4 = a, -2*l = -3*a - 5 + 3. Let x(b) be the first derivative of l + 3*b**3 - 9/4*b**4 - 3/2*b**2 + 0*b + 3/5*b**5. Factor x(k).
3*k*(k - 1)**3
Suppose -c = -3*i + 2*c + 33, -5*i = 4*c - 100. Suppose 0 = -z - 3*s + i, 0 = 5*z - 0*s - s - 16. Factor 0 + 0*r + 0*r**2 - 1/5*r**3 - 1/5*r**z.
-r**3*(r + 1)/5
Let s = 10 + -6. Factor -90*u**4 - 24*u**5 - 26*u**5 - s*u**2 - 4*u**2 - 47*u**3 - u**3.
-2*u**2*(u + 1)*(5*u + 2)**2
Let b(f) = f**2 - 3*f. Let w be b(4). Factor 0*p**2 + 6*p**4 + 2 + 0*p**w - 5*p + 2*p + 5*p**3 - 6*p**2.
(p + 1)**2*(2*p - 1)*(3*p - 2)
Let a = 5 + -43/9. Factor -a*z - 4/9 + 2/9*z**2.
2*(z - 2)*(z + 1)/9
Suppose 1/3*u**2 + 1/3*u**3 - 2/3*u + 0 = 0. What is u?
-2, 0, 1
Factor -l**2 + 0*l**2 + 7*l**2 - 12*l**3 + 4*l**4 + 2*l**2.
4*l**2*(l - 2)*(l - 1)
Factor 3/5*y**5 + 0 + 9/5*y**2 + 0*y + 3/5*y**4 - 3*y**3.
3*y**2*(y - 1)**2*(y + 3)/5
Let n be ((-10)/4)/(-5)*0. Let i = n - 0. Solve 0 + i + g**2 = 0.
0
Let l(z) be the third derivative of z**4/24 + z**3/2 - z**2. Let u be l(3). Factor -4 - u*j + 11*j**2 + 3*j**2 - 4*j.
2*(j - 1)*(7*j + 2)
Let y(q) be the first derivative of q**8/6720 + q**7/1680 - 10*q**3/3 + 10. Let d(o) be the third derivative of y(o). Factor d(f).
f**3*(f + 2)/4
Find f such that -4*f**4 - 248*f - 28*f**2 + 122*f - 20*f**3 + 114*f = 0.
-3, -1, 0
Factor 5*p - 3*p + 3 + p**2 - 2 + 0*p**2.
(p + 1)**2
Suppose -15 = -4*o + o. Let q be (o + -4)*(3 + -1). Find u, given that -q*u**5 + 2*u**4 - u**4 - u**3 - u**2 + 3*u**5 = 0.
-1, 0, 1
Let g(j) be the first derivative of j**6/21 + 2*j**5/7 + 4*j**4/7 + 8*j**3/21 - 6. Factor g(m).
2*m**2*(m + 1)*(m + 2)**2/7
Solve 9/5*b**2 + 7/5*b + b**3 + 1/5*b**4 + 2/5 = 0 for b.
-2, -1
Let h(v) be the third derivative of v**5/120 + v**2. Suppose h(u) = 0. What is u?
0
Factor -3*g**3 + 0 + 4/3*g**4 - 1/3*g + 2*g**2.
g*(g - 1)**2*(4*g - 1)/3
Let x be ((-15)/162)/(16/(-24)). Let v(i) be the second derivative of 4*i - x*i**4 - 1/6*i**2 + 0 - 1/3*i**3. Suppose v(d) = 0. What is d?
-1, -1/5
Let z(d) be the third derivative of 0*d + 0*d**4 + 1/40*d**6 - 1/70*d**7 + 0*d**5 + 0 + 0*d**3 + 2*d**2. Factor z(u).
-3*u**3*(u - 1)
Suppose -h - 2 = 2, -3*h = -o + 8. Let j = o + 8. Factor -2*b**j - 2*b + 12*b**3 - 2*b**4 - 3*b**4 - 3*b**2.
-b*(b - 1)**2*(7*b + 2)
Let i = -70 + 74. Let z(j) be the third derivative of 0 - j**2 + 1/6*j**3 - 1/40*j**5 + 0*j - 5/48*j**i. Solve z(m) = 0.
-2, 1/3
Let a(y) be the second derivative of y**5/30 - y**4/9 - y**3/9 + 2*y**2/3 + y. Factor a(f).
2*(f - 2)*(f - 1)*(f + 1)/3
Let o(s) be the third derivative of 1/1512*s**8 + 1/36*s**4 + 1/135*s**5 + 0*s**7 + 0 + 0*s + s**2 - 2/27*s**3 - 1/135*s**6. Solve o(h) = 0.
-2, -1, 1
Suppose -2*f + 2 = -2*c + 4*c, 2*c - f - 5 = 0. Let k be (1 + -1)/((-8)/(-4)). Factor -j**2 + k*j**4 + 3*j**2 - c*j**4.
-2*j**2*(j - 1)*(j + 1)
Let n = -2 + 2. Suppose -3*z**5 + 2*z + n*z - 4*z**3 + 6*z**5 - z**5 = 0. Calculate z.
-1, 0, 1
Let c = 9 - 7. Find s such that -3*s**2 - 2 + 2*s + 2*s**c - 5*s = 0.
-2, -1
Suppose -45*o + 10 + 10*o**2 + 45*o**3 - 9*o**4 + 0*o**4 - 14*o**4 + 3*o**4 = 0. What is o?
-1, 1/4, 1, 2
Suppose 2 = 2*i - 2. Suppose 2*w - 8 = 0, 0 = -i*s - w - 0 + 10. Factor -2/7*b**5 + 0 + 2/7*b**2 - 2/7*b**4 + 0*b + 2/7*b**s.
-2*b**2*(b - 1)*(b + 1)**2/7
Let h(q) be the first derivative of q**4 + 4*q**3 + 4*q**2 - 8. Factor h(p).
4*p*(p + 1)*(p + 2)
Le