5*n**5 + 8 + 8*n**3 + 6*n. Factor a(t).
3*(t - 1)**4*(t + 2)
Let f(r) be the second derivative of r**3/6 + 2*r**2 - 3*r. Let o be f(-4). Factor o*d + 0 - 2/5*d**2.
-2*d**2/5
Let a = 27/76 - 2/19. Suppose 3/4*v**2 - a*v**4 - 5/4*v + 1/4*v**3 + 1/2 = 0. What is v?
-2, 1
Let i(m) be the third derivative of 0*m**3 + 1/84*m**4 + 0*m + 3*m**2 + 1/210*m**5 + 0. Find f, given that i(f) = 0.
-1, 0
Let h(p) = -3*p**5 + 5*p**4 + 5*p**3 - 3*p**2 + 3. Let t(i) = 8*i**5 - 14*i**4 - 14*i**3 + 10*i**2 - 10. Let d(g) = 10*h(g) + 3*t(g). Let d(z) = 0. Calculate z.
-2/3, 0, 2
Let w(m) = -m - 11. Let o be w(-9). Let h be (0 + o/1)/(-6). What is s in 2/3*s**2 + 0 + h*s + 1/3*s**3 = 0?
-1, 0
Suppose -2/11*w**2 - 16/11 + 12/11*w = 0. What is w?
2, 4
Let j(k) = k**3 + 7*k**2 - 7*k + 11. Suppose 12 = -4*u, -5*t + 6 = -3*u + 37. Let x be j(t). Solve 4/9*v**4 + 0*v**x - 2/9*v + 0 + 2/9*v**5 - 4/9*v**2 = 0.
-1, 0, 1
Factor 2*h + 0*h**3 + 6*h**3 - 4*h - h - 3*h**5.
-3*h*(h - 1)**2*(h + 1)**2
Let k(b) be the first derivative of b**6/24 - b**5/20 - b**4/16 + b**3/12 + 5. Factor k(r).
r**2*(r - 1)**2*(r + 1)/4
Suppose -16 = g - 4. Let b = g + 20. Factor 2 - 2*o**2 + 7*o**3 - 6*o + 7*o**3 - b*o**3.
2*(o - 1)*(o + 1)*(3*o - 1)
Let o(z) be the third derivative of -z**8/100800 + z**7/12600 - z**6/3600 - z**5/30 + 4*z**2. Let v(g) be the third derivative of o(g). Factor v(t).
-(t - 1)**2/5
Factor 5*t**2 + 22*t - 26*t - 8 - t**2.
4*(t - 2)*(t + 1)
Suppose 5*m - 2*x - 16 = 0, -1 - 5 = -3*x. Factor 4*j - 8*j + 18*j**3 + 17*j**m + 10*j**5 - 3*j**4 + 12*j**4 - 2*j**2.
2*j*(j + 1)**3*(5*j - 2)
Let q = 3 + -6. Let x be 0/((-4 - -7)/q). Factor 0*p + 2/5*p**3 - 2/5*p**2 + x.
2*p**2*(p - 1)/5
Let h = -894 - -3577/4. Suppose 3/4*i**3 + 1/2*i**4 + 0 - h*i**5 - i - i**2 = 0. What is i?
-1, 0, 2
Let m(h) be the third derivative of h**8/5600 - h**7/4200 - h**6/1200 - h**4/8 + 4*h**2. Let z(p) be the second derivative of m(p). Factor z(b).
3*b*(b - 1)*(2*b + 1)/5
Let f be (-1 - (-2)/5)*-5. Factor 0*d**2 - 3*d - 6*d**2 + f*d**2.
-3*d*(d + 1)
Suppose 2*m + 4 = 4*m. Let r be 144/405 + m/(-15). Determine s so that 0 - 2/9*s - r*s**2 = 0.
-1, 0
Factor 2/9*l + 2/9*l**2 - 2/9 - 2/9*l**3.
-2*(l - 1)**2*(l + 1)/9
Let q(p) be the third derivative of -p**8/1680 + p**7/350 - p**6/200 + p**5/300 + 4*p**2. Let q(y) = 0. Calculate y.
0, 1
Suppose 0*l = 5*l - 70. Let w = l - 11. Determine c, given that 4*c**2 + 80*c**3 + 2*c**5 - 70*c**w + 8*c**4 + 0*c**4 = 0.
-2, -1, 0
Let y = 7 + -5. What is f in f - y*f**2 + 2*f**5 - 3*f + 4*f**4 - 2*f**2 = 0?
-1, 0, 1
Let p be -2 - ((5 - 2) + -240). Let i = p + -2111/9. Determine u, given that -2/9 - 2/9*u**2 + i*u = 0.
1
Let l(r) be the third derivative of -r**6/600 + r**5/75 + 12*r**2. Determine s so that l(s) = 0.
0, 4
Let h = 23 + -13. Suppose 0 = 5*k - 0*k - h. Let -2/3*d**k + 2/3*d**3 - 1/3 + 1/3*d**5 - d + d**4 = 0. Calculate d.
-1, 1
Let l(b) be the second derivative of -b**6/10 - 3*b**5/5 - 3*b**4/2 - 2*b**3 - 3*b**2/2 + 10*b. Let l(v) = 0. Calculate v.
-1
Let d(h) be the first derivative of -h**3/3 - h**2/2 + 2*h - 2. Determine f, given that d(f) = 0.
-2, 1
Let q(w) = 3*w**3 - w**2 - 5*w + 5. Let m(t) = -7*t**3 + 3*t**2 + 10*t - 11. Let p(r) = -4*m(r) - 10*q(r). Let p(u) = 0. What is u?
-3, 1
Factor 50*h**2 - h**3 + 10*h**3 - 21*h**3 - 15*h - 3*h**3.
-5*h*(h - 3)*(3*h - 1)
Let 11/4*y**3 + 0*y + 7/4*y**5 + 0 + 1/2*y**2 + 4*y**4 = 0. Calculate y.
-1, -2/7, 0
Let l = 10059 - 49717/5. Let q = -115 + l. Factor q*j + 1/5 + 3/5*j**2 + 1/5*j**3.
(j + 1)**3/5
Let z(y) = -y**2 - 5*y. Let u be z(-5). Suppose -k + 2 = -u. Factor -2*a**k + 0*a**5 + 2*a**5 + 6*a**3 + 3*a**4 + 3*a**4 + 4*a**2.
2*a**2*(a + 1)**3
Let n = -8 - -13. Suppose 2*z + 14 = n*v, 2*z = -v + 3*z + 1. Factor a + 49*a**5 + 21*a**v - a + 4*a**2 - 24*a**3.
a**2*(a + 1)*(7*a - 2)**2
Let z = -2056979/9 + 228784. Let q = 231 - z. Let q*f**2 + 0 + 0*f + 2/3*f**4 + 2/9*f**5 + 2/3*f**3 = 0. What is f?
-1, 0
Let x be (3/5)/(2/10). Suppose -2*j - 4*c = -24, -4*j + 5*c = -x*j + 23. Suppose -3/2*q**3 - 1/2 + q**4 - 1/2*q**j + 3/2*q = 0. Calculate q.
-1, 1/2, 1
Let p(y) be the third derivative of 0*y**5 + 5*y**2 + 0*y + 0 + 0*y**4 + 0*y**3 + 1/40*y**6. Determine u so that p(u) = 0.
0
Let f = -736 + 738. Factor 3/2*z**f - 12*z + 24.
3*(z - 4)**2/2
Let z(r) be the third derivative of r**6/1620 - r**4/27 - r**3/2 - 3*r**2. Let b(l) be the first derivative of z(l). Let b(x) = 0. Calculate x.
-2, 2
Let n(t) be the first derivative of t**4/6 + 2*t**3/3 + 2*t**2/3 + 5. Factor n(s).
2*s*(s + 1)*(s + 2)/3
Factor 2/7*u**4 - 8/7*u**2 - 4/7*u**3 + 0 + 16/7*u.
2*u*(u - 2)**2*(u + 2)/7
Let k(b) be the first derivative of b**5/5 + b**4/4 - b**3/3 - b**2/2 + 9. Factor k(v).
v*(v - 1)*(v + 1)**2
Let p(b) be the second derivative of b**7/6 + b**6/15 - 21*b**5/20 + 2*b**4/3 + 2*b**3/3 + 9*b. What is q in p(q) = 0?
-2, -2/7, 0, 1
Let b be (1 - 2)*(-7 + 4). Suppose 2*u + 5*k = b*u, -k = 0. Factor u*l + l**2 + 2/3*l**3 - 1/3.
(l + 1)**2*(2*l - 1)/3
Let f(p) be the third derivative of 0*p**7 + 4*p**2 - 1/36*p**4 + 0*p - 1/504*p**8 + 0 + 0*p**3 + 0*p**5 + 1/90*p**6. Factor f(l).
-2*l*(l - 1)**2*(l + 1)**2/3
Suppose -n = -7 - 1. Suppose z - n = -z. Factor z - 2*m - m**2 - 4.
-m*(m + 2)
Let g(s) = 3*s**4 + 45*s**3 - 111*s**2 + 33*s + 15. Let v(o) = o**4 + 11*o**3 - 28*o**2 + 8*o + 4. Let b(c) = -4*g(c) + 15*v(c). Factor b(f).
3*f*(f - 2)**2*(f - 1)
Suppose 0 = 4*l - 8*l. Let n(m) be the first derivative of 2/9*m**3 + l*m**2 + 3 + 1/6*m**4 + 0*m. Find d, given that n(d) = 0.
-1, 0
Let k = 39/35 - 5/7. Determine j, given that 0 - k*j**4 - 2/5*j + 2/5*j**3 + 2/5*j**2 = 0.
-1, 0, 1
Let m(z) = -z + 6. Suppose -y + 18 - 43 = -4*g, -4*y = g - 2. Let a be m(g). Suppose -2/3*c + a + 5/3*c**2 + 7/3*c**3 = 0. Calculate c.
-1, 0, 2/7
Let z(s) be the first derivative of -s**4/48 - s**3/8 - s**2/4 + 5*s + 4. Let o(k) be the first derivative of z(k). Factor o(j).
-(j + 1)*(j + 2)/4
Let 2/11*n**2 + 0*n - 8/11 = 0. What is n?
-2, 2
Let h = -2 - -4. Let j be 1/((-2 + 3)/h). Factor 4*b + b**3 - j*b**3 + 0*b**3 + 10*b**3 + 12*b**2.
b*(3*b + 2)**2
Let c(l) be the third derivative of -1/6*l**3 + 0*l + 1/1260*l**6 - 2*l**2 + 0 + 1/140*l**5 + 1/42*l**4. Let j(s) be the first derivative of c(s). Factor j(k).
2*(k + 1)*(k + 2)/7
Let f be 1 - 1*4/(-2). Let 5*y**3 - 8*y**3 + y**f + 2*y = 0. Calculate y.
-1, 0, 1
Let a(u) = -14*u**3 + 54*u**2 - 176*u + 170. Let y(c) = -c**3 + c**2 - 2*c - 1. Let x(w) = -a(w) + 10*y(w). Factor x(m).
4*(m - 5)*(m - 3)**2
Let b = 2/113 - -212/791. Factor 0 - 4/7*u**2 - b*u + 6/7*u**3.
2*u*(u - 1)*(3*u + 1)/7
Let x(i) = 2*i - 7. Let b be x(6). Solve 6*d + 3*d**4 + 2*d**2 - 15*d**3 + 9*d**b - 7*d**2 - 4*d**2 + 6*d**2 = 0 for d.
-1, 0, 2/3, 1
Let i(y) be the third derivative of -y**8/3840 - 19*y**7/10080 - y**6/360 + y**5/120 + y**4/3 - 5*y**2. Let d(r) be the second derivative of i(r). Factor d(h).
-(h + 1)*(h + 2)*(7*h - 2)/4
Let u(d) = d**3 + 17*d**2 - 19*d - 18. Let c be u(-18). Factor c - 2/5*k**2 + 2/5*k.
-2*k*(k - 1)/5
Let d(j) be the first derivative of -3 + 0*j**3 + 0*j - 1/20*j**4 + 1/10*j**2. Suppose d(k) = 0. What is k?
-1, 0, 1
Suppose 3*n = 5*n. Let a(b) be the second derivative of 1/147*b**7 + 0*b**6 + 0 + n*b**2 + 0*b**4 - 1/35*b**5 + 1/21*b**3 + 2*b. Factor a(m).
2*m*(m - 1)**2*(m + 1)**2/7
Suppose 0 = -4*u - q - q + 6, 0 = 3*u + 2*q - 3. Let 3*v**2 + u*v - 2*v - 4*v**2 + 2 + 0 = 0. Calculate v.
-1, 2
Let x(d) be the third derivative of 0*d + 1/48*d**5 - 1/480*d**6 - 5*d**2 + 0 + 1/6*d**3 - 1/12*d**4. Factor x(o).
-(o - 2)**2*(o - 1)/4
Let a(s) be the third derivative of s**8/224 - 2*s**7/35 + 9*s**6/40 - 2*s**5/5 + 5*s**4/16 - 11*s**2. Factor a(b).
3*b*(b - 5)*(b - 1)**3/2
Determine o, given that 4/7*o + 2/7*o**2 + 0 = 0.
-2, 0
Factor 0 + 0*i + 1/5*i**3 - 1/5*i**2.
i**2*(i - 1)/5
Let u(d) = -5*d**5 + 15*d**4 + 24*d**3 - 4*d**2 - 4. Let f(b) = 15*b**5 - 45*b**4 - 71*b**3 + 11*b**2 + 11. Let h(z) = 4*f(z) + 11*u(z). Factor h(r).
5*r**3*(r - 4)*(r + 1)
Let x(n) be the third derivative of 11*n**7/1365 - n**6/60 + n**5/195 - 21*n**2. Find j such that x(j) = 0.
0, 2/11, 1
Determine d so that 20/7*d**2 - 6/7*d**4 + 18/7 - 2/7*d**5 + 12/7*d**3 - 6*d = 0.
-3, 1
Let k(i) be the third derivative of 1/420*i**7 + 1/240*i**6 + 0 + 3*i**2 +