
-3*(t - 1)**3*(t + 1)**2
Let y(o) be the first derivative of o**3/12 - o**2/2 + o - 7. Factor y(a).
(a - 2)**2/4
Let c be (-43)/(-4) - (-1)/4. Let m = -8 + c. Factor v**4 + 0*v**3 + v**m + 2*v**3 + 3*v**2 + v.
v*(v + 1)**3
Factor 2*x**4 + 8*x**4 - 16*x**2 - 6*x**4 - 2*x**3 + 8*x.
2*x*(x - 2)*(x + 2)*(2*x - 1)
Let n(d) be the second derivative of d**6/600 - d**4/40 + d**3/15 + d**2/2 - d. Let q(m) be the first derivative of n(m). Factor q(r).
(r - 1)**2*(r + 2)/5
Let g(c) be the first derivative of c**8/6720 - c**6/720 + c**4/96 + 3*c**3 - 6. Let m(z) be the third derivative of g(z). Suppose m(t) = 0. Calculate t.
-1, 1
Find h, given that 28/5*h**2 + 16/5 - 64/5*h = 0.
2/7, 2
Let i(l) be the first derivative of -l**5/35 + 3*l**4/28 - l**3/7 + l**2/14 - 32. Factor i(b).
-b*(b - 1)**3/7
Suppose 5*m - 38 - 25 = -3*s, -3*m + 33 = -3*s. Suppose -3*z**3 + m*z**4 - 44*z**2 + 0*z**5 - 16 - 48*z + 4*z**5 + 2*z**3 - 3*z**3 = 0. Calculate z.
-2, -1, 2
Let q(b) = -11*b**2 - 33*b - 12. Let y(c) = -56*c**2 - 164*c - 60. Let k(n) = -24*q(n) + 5*y(n). Find o, given that k(o) = 0.
-1, -3/4
Suppose h = -4*x - 2 - 1, 0 = 4*x - 8. Let v be 210/55 + (-2)/h. Factor -q**v + 0 + 8/3*q**3 - 7/3*q**2 + 2/3*q.
-q*(q - 1)**2*(3*q - 2)/3
Let f(a) be the first derivative of 6*a**5/5 - 21*a**4/4 + 9*a**3 - 15*a**2/2 + 3*a + 4. Factor f(i).
3*(i - 1)**3*(2*i - 1)
Let t = 766/45 + -84/5. Let h = -82 + 740/9. Factor -t - 4/9*g - h*g**2.
-2*(g + 1)**2/9
Let a(j) be the third derivative of -5*j**5/12 - 55*j**4/12 - 20*j**3/3 + 5*j**2. Solve a(l) = 0 for l.
-4, -2/5
Let u(r) be the third derivative of -r**6/240 - r**5/60 + 7*r**4/48 - r**3/3 + 20*r**2. Let u(b) = 0. What is b?
-4, 1
Let h(a) be the second derivative of a**6/60 + 7*a**5/20 + 11*a**4/8 - 28*a**3/3 + 16*a**2 + 13*a. Factor h(l).
(l - 1)**2*(l + 8)**2/2
Let l = 2 - -2. Factor v + 2*v + l*v + 9 + v**2 - v.
(v + 3)**2
Find r, given that 1/4*r + 0 - 1/8*r**3 - 1/8*r**2 = 0.
-2, 0, 1
Suppose 5*d = -t + 9 - 27, 24 = 4*t - 4*d. Factor 0 + 1/3*p + 1/3*p**3 + 2/3*p**t.
p*(p + 1)**2/3
Suppose 14 = 4*t - 6. Factor 3*m - 6*m**t + 3*m**5 + 6*m**2 - 6*m**4 + 0*m**5.
-3*m*(m - 1)*(m + 1)**3
Let n + 1/2 + 1/2*n**2 = 0. Calculate n.
-1
Suppose 0 = -2*v + 4*q + 16, 2*v + v + 16 = -4*q. Let k(z) be the second derivative of 1/6*z**3 + v + z + 0*z**2 - 1/12*z**4. Solve k(l) = 0.
0, 1
Let y(a) = -5*a**3 + 2*a**2 + 5*a - 9. Let u be (-7)/3 + (-10)/15. Let l(q) = 2*q**3 - q**2 - 2*q + 4. Let c(f) = u*y(f) - 7*l(f). Factor c(o).
(o - 1)*(o + 1)**2
Let b(z) be the first derivative of -z**5/15 + z**4/3 - 4*z**3/9 - 1. Factor b(h).
-h**2*(h - 2)**2/3
Let b = 19973 - 10086368/505. Let u = b + 4067/4545. Factor u + 18*p**2 + 8*p.
2*(9*p + 2)**2/9
Let d(b) be the first derivative of -4*b**5/5 + 4*b**3 - 4*b**2 + 11. Factor d(q).
-4*q*(q - 1)**2*(q + 2)
Let x(o) be the third derivative of -3*o**8/560 + o**7/25 - 17*o**6/200 - 3*o**5/50 + o**4/2 - 4*o**3/5 + 26*o**2. Solve x(f) = 0.
-1, 2/3, 1, 2
Let m(r) = -10*r**5 + 22*r**4 - 12*r**3 + r**2 + 5*r - 3. Let x(f) = f**5 - f**4 - f**3 - f + 1. Let z(a) = m(a) + 3*x(a). Suppose z(l) = 0. Calculate l.
-2/7, 0, 1
Let n(b) be the second derivative of 1/120*b**6 - 2*b - 1/48*b**4 + 0 + 0*b**2 + 1/80*b**5 - 1/24*b**3. Factor n(i).
i*(i - 1)*(i + 1)**2/4
Let f(m) be the second derivative of -1/2*m**4 + 0 + m + 9/20*m**5 - 7/2*m**3 - 3*m**2. Suppose f(t) = 0. What is t?
-1, -1/3, 2
Find p, given that 0*p**2 + 0*p - 1/3*p**3 + 1/6*p**5 + 0 - 1/6*p**4 = 0.
-1, 0, 2
Let n(y) be the first derivative of -y**3 - 51*y**2 - 867*y + 2. Find r, given that n(r) = 0.
-17
Suppose 0*f - f = 0. Find p, given that -2*p**2 - 3*p**4 + f*p**4 + 5*p**4 = 0.
-1, 0, 1
Let v be 3 + (-3 - -1) + 1. Let -2*i + 8*i**v + 3*i - 5*i - 10*i**2 = 0. What is i?
-2, 0
Let q(i) be the third derivative of i**5/15 - 2*i**4/3 - 10*i**3/3 + 8*i**2. Factor q(j).
4*(j - 5)*(j + 1)
Let m(r) be the third derivative of r**8/672 - r**7/84 + r**6/24 - r**5/12 + 5*r**4/48 - r**3/12 + 4*r**2. Factor m(q).
(q - 1)**5/2
Find g such that -9*g**3 + 10*g**3 + 4*g**3 - 15*g - 10*g**2 = 0.
-1, 0, 3
Suppose 2*n**3 + 2*n**4 - 4*n**3 + 5*n**2 - 5*n**2 = 0. What is n?
0, 1
Let q be 11/4 - 18/24. Let y = q - 2. Find z, given that 0*z**4 - 1/4*z**3 + 1/4*z**5 + y + 0*z + 0*z**2 = 0.
-1, 0, 1
Let o be (-4)/8 - 26*3/(-60). Factor 0 + 2/5*y - o*y**2 + 2/5*y**3.
2*y*(y - 1)**2/5
Let x be 1 + 1 - (-3 + 1). Let a(b) be the first derivative of b + 4*b**2 - 2*b - b - x + 2*b**3 + 4*b. Suppose a(u) = 0. What is u?
-1, -1/3
Let t(n) be the second derivative of -n**8/7560 - 2*n**3/3 - n. Let m(b) be the second derivative of t(b). Factor m(v).
-2*v**4/9
Let m(p) be the third derivative of 1/105*p**5 + 1/210*p**6 + 3*p**2 + 0 + 0*p + 1/1176*p**8 - 1/245*p**7 - 1/28*p**4 + 1/21*p**3. Factor m(z).
2*(z - 1)**4*(z + 1)/7
What is i in 329*i - i**4 + i**2 - 329*i = 0?
-1, 0, 1
Let d be 1/(-2) + 722/(-396). Let g = 28/11 + d. Factor -2/9*j**2 + 4/9*j - g.
-2*(j - 1)**2/9
Let a(r) = 2*r**3 + 4*r**3 + r - 5*r**3 - r**4. Let n(s) = 4*s**4 - 4*s**3 - 6*s. Let h(g) = -6*a(g) - n(g). Factor h(q).
2*q**3*(q - 1)
Suppose -3*q = 2*q - 140. Let u be (-8)/q + (-4)/(-14). Let 1/2*x**2 + u*x + 0 = 0. Calculate x.
0
Let i = -533/2 + 280. Let b(n) be the second derivative of -9/2*n**3 + 0 + 3/4*n**4 + 5*n - 1/20*n**5 + i*n**2. Solve b(u) = 0.
3
Suppose 4 = 5*z - 2*k, 2*z - 4*k + 10 = z. Let 4*m**4 + m + z*m + 2*m**5 - 3*m = 0. Calculate m.
-2, 0
Let i(p) be the second derivative of -p**5/50 - p**4/10 - p**3/5 - p**2/5 - 4*p. Suppose i(l) = 0. What is l?
-1
Let q = 2 - -1. Suppose -q*s + 6 = 5*c, -4*s = 3*c - 5 - 3. Factor -2/3 + 0*i + 2/3*i**s.
2*(i - 1)*(i + 1)/3
Suppose 3*m - 2 = -5. Let p be (-14 - -17)/(0 - m). Factor -2/3*n**4 + 0 + 0*n**2 - 1/3*n**p + 0*n - 1/3*n**5.
-n**3*(n + 1)**2/3
Let z be (-1 + (-44)/(-12))*(-24)/(-16). Factor 0*m + 0 + 0*m**3 + 0*m**2 + 0*m**z + 1/3*m**5.
m**5/3
Let z be (19/(-4))/((-10)/(-50)). Let u = z - -24. Factor 0 - u*p**2 + 1/2*p.
-p*(p - 2)/4
Solve 0*q**2 + 2/11*q**5 + 0 - 2/11*q**3 + 0*q + 0*q**4 = 0.
-1, 0, 1
Let x(o) be the third derivative of o**6/360 - o**5/60 - 6*o**2. Find v, given that x(v) = 0.
0, 3
Let y(f) = 4 + 9*f**2 + 4 + 4*f**3 - 4*f**3 + f**3 + 12*f. Let d(w) = -w**3 - 8*w**2 - 12*w - 8. Let z(h) = 3*d(h) + 2*y(h). Factor z(r).
-(r + 2)**3
Factor -5*o**2 + 1 - o**2 + 5*o**2.
-(o - 1)*(o + 1)
Let q = -2 - -5. Let c be 2/2 + q/(-12). Factor 1/4*o**4 + 3/4*o**2 + c*o**3 + 0 + 1/4*o.
o*(o + 1)**3/4
Let n = 2 + -3. Let p be n - -1 - (-14)/63. What is s in -p*s**2 - 2/9*s + 0 + 2/9*s**4 + 2/9*s**3 = 0?
-1, 0, 1
Let k(i) be the second derivative of -i**5/80 + i**4/16 - i**3/8 + i**2/8 - 2*i. Factor k(q).
-(q - 1)**3/4
Let p(m) be the first derivative of m**4/20 + m**3/5 + 3*m**2/10 + 3*m - 1. Let k(t) be the first derivative of p(t). Let k(q) = 0. Calculate q.
-1
Let i = -63/8 - -205/24. Solve -i*z**4 + 2*z**3 + 0 + 2/3*z**2 - 2*z = 0 for z.
-1, 0, 1, 3
Let t(c) be the first derivative of 2*c**3/3 - 16*c**2 + 128*c + 25. Let t(j) = 0. Calculate j.
8
Solve -4/3*j + 4/3*j**3 - 2/3 + 2/3*j**2 = 0.
-1, -1/2, 1
Suppose 0 + 4 = z. Let p(r) be the third derivative of 1/6*r**z + 1/30*r**5 + 0 + 1/3*r**3 - 2*r**2 + 0*r. Let p(m) = 0. Calculate m.
-1
Let l(q) be the second derivative of q**4/66 - q**3/33 - 10*q. Factor l(p).
2*p*(p - 1)/11
Let p be (-234)/(-65) - 6/10. Let h(v) be the first derivative of 0*v - 2/21*v**p + 1 + 0*v**2. Factor h(w).
-2*w**2/7
Let x(q) be the second derivative of q**6/90 + q**5/60 + 13*q. Suppose x(n) = 0. What is n?
-1, 0
Suppose 0 = -p - v + 338 + 113, -2*v = 4*p - 1812. Let g = p + -2261/5. Suppose 0 + 11/5*s**2 + 2/5*s + g*s**3 = 0. What is s?
-1/2, -2/7, 0
Factor -4/7*s**2 - 4/7 - 8/7*s.
-4*(s + 1)**2/7
Let z(k) = 2*k. Let y be 4 - 1 - -1 - 4. Let d be z(y). Factor -4/5*c**2 + d - 2/5*c - 2/5*c**3.
-2*c*(c + 1)**2/5
Let g(p) = 2*p**5 + 7*p**4 - 16*p**3 + 7*p**2 - 7. Let c(d) = -d**5 - 5*d**4 + 11*d**3 - 5*d**2 + 5. Let i(y) = 7*c(y) + 5*g(y). Factor i(v).
3*v**3*(v - 1)*(v + 1)
Let f(v) be the second derivative of 3*v**5/5 + 11*v**4/4 - 3*v**3/2 - 18*v. Let f(w) = 0. Calculate w.
-3, 0, 1/4
Let x(a) be the first derivative of 6/5*a - 4/5*a**2 + 2/15*a**3 + 6. Find k, given that x(k) = 0.
1, 3
Let t(m) = -6*m + 9. Let v be t(