at 4/3 - 2/3*n**l + 2/3*n = 0.
-1, 2
Let v(j) be the first derivative of j**8/560 + 2*j**3 + 5. Let z(w) be the third derivative of v(w). Factor z(n).
3*n**4
Suppose 5*s = 2*u, -3*u + 23 = s + 6. Let j(l) be the second derivative of 1/25*l**6 + 0*l**u + 1/70*l**7 + 0 + 0*l**3 + 0*l**4 - l + 0*l**2. Factor j(m).
3*m**4*(m + 2)/5
Let k(r) be the second derivative of -2/3*r**3 - 6*r + 0 + 0*r**4 + 1/5*r**5 + 0*r**2. Factor k(f).
4*f*(f - 1)*(f + 1)
Find c, given that -7 + 56*c**2 - 32*c**3 + 25 + 40*c**2 + 46 - 128*c + 4*c**4 = 0.
2
Let n(i) be the first derivative of -4*i - 3 + 4/3*i**3 + 1/2*i**4 - i**2. Factor n(x).
2*(x - 1)*(x + 1)*(x + 2)
Let l(x) = -19*x**4 - 37*x**3 - 17*x**2 - 4*x - 5. Let m(d) = 20*d**4 + 38*d**3 + 16*d**2 + 4*d + 6. Let z(p) = -6*l(p) - 5*m(p). Factor z(u).
2*u*(u + 1)**2*(7*u + 2)
Let n = -10 + 12. Let -3*f**3 + 85*f**2 - 82*f**n + 3*f + 0 - 3 = 0. Calculate f.
-1, 1
Let t = 35 + -168/5. Let q(d) be the first derivative of 2/5*d + 16/15*d**3 - t*d**2 + 8/5*d**4 - 1. Solve q(v) = 0 for v.
-1, 1/4
Let n(a) = -27*a**2 + 6*a - 12. Let j(u) = u**2 + 1. Let i(x) = -12*j(x) - n(x). Find l such that i(l) = 0.
0, 2/5
Factor -4/3*i - 4/3*i**2 + 0 - 1/3*i**3.
-i*(i + 2)**2/3
Let c(n) = n**3 - n**2 - n. Let j(h) = -8*h**3 + 2*h**2 - h + 0*h**2 + 0*h + 5*h. Let k(y) = 6*c(y) + j(y). Factor k(t).
-2*t*(t + 1)**2
Let k be (-84)/(-10) + 4/(-10). Suppose k*q + 4 - 4 + 2*q**2 + 2*q**2 = 0. What is q?
-2, 0
Let j(p) be the second derivative of -p**6/100 - 2*p**5/75 + p**4/60 + 2*p**3/15 + p**2 - 3*p. Let f(l) be the first derivative of j(l). Factor f(z).
-2*(z + 1)**2*(3*z - 2)/5
Let l(x) be the first derivative of -x**4/4 + 8*x**3/3 + 2*x - 3. Let s be l(8). Suppose 0*f + 1/3*f**3 + 0 + 1/3*f**s = 0. Calculate f.
-1, 0
Let z = 0 + 0. Let a be (4/(-6))/((-99)/27). Suppose 0 + a*l**2 - 2/11*l**3 + z*l = 0. Calculate l.
0, 1
Let u be -3*8/(-6) + -1. Factor 12*l**5 + l**3 - 9*l**u - 8*l**5 + 4*l**4.
4*l**3*(l - 1)*(l + 2)
Let q = 39 - 35. Let n(f) be the second derivative of -1/15*f**3 + 2/5*f**2 + 0 - 1/30*f**q - 3*f. Determine s, given that n(s) = 0.
-2, 1
Let p(m) be the third derivative of -m**5/300 + m**4/12 - 3*m**3/10 + 22*m**2 - 2*m. Factor p(y).
-(y - 9)*(y - 1)/5
Let x = 7122583/3310527 + 2/100319. Let l = -20/11 + x. Determine w so that -1/3*w**3 + l + 1/3*w - 1/3*w**2 = 0.
-1, 1
Let c(i) = -i**3 - 6*i**2 - 6*i - 3. Let g be c(-5). Suppose 0*t = -7*t + 14. Factor -4*l**2 + 5*l**t + 4*l**g - 3*l - 2*l**2.
3*l*(l - 1)
Factor 19*v - 4 - 23*v**2 - 15*v**3 + v**3 + 3*v**4 + 19*v**3.
(v - 1)**2*(v + 4)*(3*v - 1)
Suppose 5*x - 2*s - 20 = -s, 5*x = 2*s + 25. Factor 0*i - 4*i**2 + 0*i**x - 2*i**3 + 4*i**4 - 2*i**3 + 4*i.
4*i*(i - 1)**2*(i + 1)
Let q(n) be the third derivative of 1/120*n**6 + 0*n**3 + 0 + 4*n**2 + 0*n - 1/60*n**5 - 1/24*n**4 + 1/210*n**7. What is w in q(w) = 0?
-1, 0, 1
Let o(n) be the third derivative of -4*n**2 + 0*n + 0 + 0*n**3 + 1/420*n**7 - 1/48*n**4 + 1/240*n**6 - 1/120*n**5. Factor o(g).
g*(g - 1)*(g + 1)**2/2
Factor -6*w**4 - 2*w**5 - 2*w**3 - 2*w**3 + 0*w**4 + 0*w**5.
-2*w**3*(w + 1)*(w + 2)
Suppose -17*m + 22 = 5. Factor -3/2*o + 0*o**2 - m + 1/2*o**3.
(o - 2)*(o + 1)**2/2
Suppose g - z + 19 = 18, 22 = 5*g + 4*z. Determine m so that 8/7*m - 68/7*m**g - 25*m**4 + 0 + 7*m**5 + 186/7*m**3 = 0.
0, 2/7, 1, 2
Let k(y) be the third derivative of y**10/105840 - y**9/26460 + y**8/23520 + y**4/8 + 3*y**2. Let u(l) be the second derivative of k(l). Factor u(x).
2*x**3*(x - 1)**2/7
Let m be 14/3 - 10/15. Find o, given that -8*o - 40*o**2 - 60*o**m - 4*o**5 + 4*o**5 - 18*o**5 - 74*o**3 = 0.
-1, -2/3, 0
Let z(l) be the second derivative of -l**7/4200 - l**6/1200 - l**4/2 + 4*l. Let x(j) be the third derivative of z(j). Factor x(o).
-3*o*(o + 1)/5
Find f such that f**4 - 5*f**2 + 2*f**2 + 184*f - 186*f = 0.
-1, 0, 2
Let u(q) = q**3 - 8*q**2 + 9*q - 9. Suppose -11 = -3*f + 10. Let w be u(f). Solve -2*y**2 + 2 + 5*y - w*y = 0.
-1, 1
Let l(o) be the first derivative of 2/3*o**2 - 2 - 2/9*o**3 - 2/3*o. Factor l(d).
-2*(d - 1)**2/3
Let t(r) be the second derivative of r**5/90 + r**4/27 + r**3/27 - 11*r. Factor t(w).
2*w*(w + 1)**2/9
Factor -8*g + 2*g - 2*g - 3*g**2 + 4*g**2 + 16.
(g - 4)**2
Let x(o) be the second derivative of 0*o**4 + 1/150*o**6 + 0*o**2 + 0*o**3 - 2*o + 0*o**5 + 0. Factor x(t).
t**4/5
Let h(y) = -y + 10. Let d be h(8). Let f(a) = a**3 - 2*a**2 - 2*a. Let s be f(3). Factor 2*g**4 + 9*g**3 + d*g**5 - 9*g**s.
2*g**4*(g + 1)
Let g(y) be the first derivative of y**4/10 - 4*y**3/15 + y**2/5 - 4. Factor g(m).
2*m*(m - 1)**2/5
Let l(t) be the first derivative of -t**4/14 + 2*t**3/3 - 8*t**2/7 - 32*t/7 + 29. Factor l(s).
-2*(s - 4)**2*(s + 1)/7
Let n(c) be the second derivative of c**3 + 0 - 2*c - 1/6*c**4 - 2*c**2. Suppose n(a) = 0. What is a?
1, 2
Let n(y) be the first derivative of 3*y**5/5 - 15*y**4/4 + 9*y**3 - 21*y**2/2 + 6*y + 11. Factor n(u).
3*(u - 2)*(u - 1)**3
Let w be 99/5 - 2 - 5. Factor -27/5 - 252/5*j**2 + 208/5*j**3 - w*j**4 + 27*j.
-(j - 1)*(4*j - 3)**3/5
Let n = -43 - -63. Determine f, given that -21*f**5 - f**3 + 0*f**3 + n*f**5 - 2*f**4 = 0.
-1, 0
Let n(b) = -b**4 - b. Let v(o) = 45*o**4 - 85*o**3 + 105*o**2 - 35*o + 10. Let p(i) = 20*n(i) + v(i). Factor p(g).
5*(g - 1)**3*(5*g - 2)
Let q(d) be the third derivative of -d**8/756 + d**7/189 - d**6/180 - d**5/270 + d**4/108 + 4*d**2. Factor q(a).
-2*a*(a - 1)**3*(2*a + 1)/9
Let h(r) = -r**4 + 11*r**3 - 5*r**2 + r - 6. Let x(s) = -10*s**3 + 5*s**2 + 5. Let o(f) = -5*h(f) - 6*x(f). Let o(d) = 0. Calculate d.
-1, 0, 1
Let t(w) be the third derivative of w**6/120 + w**5/40 + w**4/48 + 14*w**2. Factor t(c).
c*(c + 1)*(2*c + 1)/2
Let k(z) be the third derivative of -z**7/105 - z**6/30 + z**5/30 + z**4/6 + 24*z**2 - 2. Factor k(b).
-2*b*(b - 1)*(b + 1)*(b + 2)
Let u(c) be the second derivative of c**10/15120 + c**9/7560 - c**8/3360 - c**7/1260 + c**4/12 + c. Let g(v) be the third derivative of u(v). Factor g(n).
2*n**2*(n - 1)*(n + 1)**2
Let g(p) be the third derivative of -p**6/60 - p**5/30 + p**4/12 + p**3/3 - 4*p**2. What is k in g(k) = 0?
-1, 1
Let p = -1911 + 5612/3. Let i = 41 + p. Factor -i*j**2 + 2/3*j**3 + 0 + 2/3*j**4 - 2/3*j.
2*j*(j - 1)*(j + 1)**2/3
Factor -20*i**2 - 4*i**5 - 234*i**3 + 194*i**3 - i**5 - 25*i**4.
-5*i**2*(i + 1)*(i + 2)**2
Let m(y) = 2*y**3 + 6*y + 4. Suppose -3*p - 13 = -1. Let z(c) = 5*c**3 + 18*c + 12. Let j(l) = p*z(l) + 11*m(l). Factor j(x).
2*(x - 2)*(x + 1)**2
Let m(f) be the second derivative of f**4/20 - f. Factor m(l).
3*l**2/5
Let z(r) = r - 6. Let t be z(-4). Let q be (40/(-75))/(4/t). Factor -4/3*j**3 + 1/3 - q*j + 2*j**2 + 1/3*j**4.
(j - 1)**4/3
Factor -6*u**3 - 93*u**2 + 96*u**2 - 2 + 6*u - 1.
-3*(u - 1)*(u + 1)*(2*u - 1)
Suppose -1 = -i + 2. Suppose -4*p + 2*k = -5*p + 14, -11 = p - i*k. Find w, given that -p*w**2 + 4*w + w**2 + w**2 = 0.
0, 2
Suppose -50 = -2*c - 2*c + 3*h, c + 5*h = 24. Let 4 - 4*m**3 - 2*m**3 + 16*m**2 + 0*m**3 - c*m = 0. Calculate m.
2/3, 1
Suppose -59*y + 57*y + 2*s + 14 = 0, 12 = -4*y - 4*s. Factor -6/17*i + 8/17*i**y - 2/17*i**3 + 0.
-2*i*(i - 3)*(i - 1)/17
Let l be 1 + -6 + 6/(-2). Let q be (-2)/l*288/20. Factor -2/5*d**5 + 14/5*d**2 + 0 + 2*d**4 - 4/5*d - q*d**3.
-2*d*(d - 2)*(d - 1)**3/5
Let y(r) be the second derivative of r**7/2940 + r**6/315 + r**5/105 - 2*r**3/3 - r. Let g(l) be the second derivative of y(l). Factor g(k).
2*k*(k + 2)**2/7
Suppose -12 = -6*x + 2*x. Let j = 161/24 + -51/8. Factor -1/3 - w**2 - w - j*w**x.
-(w + 1)**3/3
Let q be -2*(7/7 - 10/8). Determine n, given that -1/2*n + 0 + 1/2*n**4 + q*n**3 - 1/2*n**2 = 0.
-1, 0, 1
Let g(c) = -c**2 + 17*c. Let a be g(17). Let p(j) be the second derivative of -1/60*j**6 + 0*j**4 + a + 0*j**5 + 0*j**2 + 0*j**3 + j. What is x in p(x) = 0?
0
Suppose -5*a - 14 = 2*c - 38, 4*c - a = 4. Factor -2/3*u**4 - 4/3 + 10/3*u**3 + 14/3*u - 6*u**c.
-2*(u - 2)*(u - 1)**3/3
Solve 0*a**3 + 1/4*a**4 + 1/8*a**5 + 0 - 1/4*a**2 - 1/8*a = 0 for a.
-1, 0, 1
Suppose 7*l - 5 = 16. Factor 0*k**2 + 1/2*k - 1/2*k**l + 0.
-k*(k - 1)*(k + 1)/2
Suppose 5*q - 3*j = 29, -2 = -5*q - 2*j + 12. Let g**5 - 3*g**q + 3*g**2 + g**4 - 3*g**2 + g**3 = 0. Calculate g.
0, 1
Suppose 476*c**3 + 2*c - 473*c**3 - 9*c**2 + 4*c = 0. Calculate c.
0, 1, 2
Let y = -8 - -5. Let w 