2)) + (-5)/(-4). Let -2/5*k + 0 + 4/5*k**a - 2/5*k**3 = 0. What is k?
0, 1
Let b = 2022/7 - 970553/3360. Let h(n) be the third derivative of 1/32*n**4 + 0 + 0*n - n**2 + 1/24*n**3 + b*n**6 + 1/80*n**5. Factor h(g).
(g + 1)**3/4
Let f = 9 - 13. Let y = 7 + f. Factor -2*n**2 + 2*n**4 + n**3 - y*n + n**4 - n**2 + 2*n**3.
3*n*(n - 1)*(n + 1)**2
Let w = 89/4 - 907/44. Let d = w - 25/22. Factor 3/2*m**3 + 0 + d*m**4 + 1/2*m + 3/2*m**2.
m*(m + 1)**3/2
Let n be 11/3 - 3/2*2. Let -2/3 + 4/3*q - n*q**2 = 0. Calculate q.
1
Let y(l) = -l**2 - 2*l + 5. Let k be y(5). Let n = k - -91/3. Suppose 1/3*h**5 + 0*h**2 + n*h**3 + 0 + 2/3*h**4 + 0*h = 0. Calculate h.
-1, 0
Let f(y) be the second derivative of -y**6/2160 - y**5/360 + 5*y**3/6 + 3*y. Let t(x) be the second derivative of f(x). Solve t(k) = 0.
-2, 0
Solve -40*u + 7*u**2 - 5*u**3 + 11 + 18*u**2 + 9 = 0 for u.
1, 2
Find m such that 2*m**3 - 2/3*m**5 - 10/3*m**2 + 4/3*m + 0 + 2/3*m**4 = 0.
-2, 0, 1
Let d(u) = 12*u**2 + 4*u. Let b(c) = c**2 + c + 1. Let k(p) = -8*b(p) + d(p). Determine o, given that k(o) = 0.
-1, 2
Find b such that 73*b**2 - 87*b**2 - 59*b**3 - 144*b**2 - 425*b + 125 - 4*b**4 - 127*b**2 = 0.
-5, 1/4
Let t(o) = -o**4 + 3*o**3 + 2*o**2 - 6*o - 1. Let w(l) be the first derivative of l**3/3 - l**2/2 - l - 2. Let i(n) = -2*t(n) + 6*w(n). Factor i(g).
2*(g - 2)*(g - 1)**2*(g + 1)
Let j(p) be the second derivative of p**7/1260 + p**6/360 - 7*p**4/12 + p. Let l(b) be the third derivative of j(b). Solve l(o) = 0 for o.
-1, 0
Let n = 263/4 - 261/4. Factor 0 - q**4 + q**2 + 1/2*q - n*q**5 + 0*q**3.
-q*(q - 1)*(q + 1)**3/2
Let f = 6/121 - -1640/1089. Determine m so that f*m**2 + 0 - 4/9*m = 0.
0, 2/7
Let 52*h**3 - 20 + 80*h + 28*h**4 + 4 - 124*h**2 + 0*h**3 - 20*h**5 = 0. Calculate h.
-2, 2/5, 1
Let n(s) = -s**3 + s**2 + 3. Let q(y) = -y**3 + 3*y**2 + 5. Let b(a) = 5*n(a) - 3*q(a). Factor b(j).
-2*j**2*(j + 2)
Factor -15/7*d - 3/7*d**2 - 18/7.
-3*(d + 2)*(d + 3)/7
Let a = 1223/19228 - -2/437. Let b = 195/44 + a. Factor x - b*x**2 + 0.
-x*(9*x - 2)/2
Let p(c) be the second derivative of -1/9*c**3 - 2/3*c**2 + 1/18*c**4 - 2*c + 0. Suppose p(t) = 0. What is t?
-1, 2
Let n = -6 + 8. Let y(x) be the third derivative of 1/16*x**4 - 1/6*x**3 + 0*x + 0 + n*x**2 - 1/120*x**5. Factor y(o).
-(o - 2)*(o - 1)/2
Let v(r) be the third derivative of 5*r**8/48 - 13*r**7/21 + 17*r**6/12 - 4*r**5/3 - 5*r**4/24 + 5*r**3/3 - 18*r**2 + 1. Factor v(l).
5*(l - 1)**4*(7*l + 2)
Let y(d) be the second derivative of 1/72*d**4 + d + 0 - 1/12*d**2 + 0*d**3. Let y(k) = 0. What is k?
-1, 1
Let h(z) = -z**2 + z + 1. Let b(l) = -260*l**2 + 225*l - 30. Let f(c) = -b(c) + 15*h(c). Solve f(g) = 0.
3/7
Solve -2/19*d**4 + 4/19*d**3 - 2/19*d + 4/19*d**2 - 2/19*d**5 - 2/19 = 0.
-1, 1
Let x(r) be the first derivative of 0*r - 1/12*r**6 + 1/4*r**3 - 1 + 1/16*r**4 - 3/20*r**5 + 1/8*r**2. Let x(b) = 0. Calculate b.
-1, -1/2, 0, 1
Suppose -5*f = -2*f + 6. Let n be 1/((-3)/f + -1). Let 0*j + 2/5*j**3 + 0 - 2/5*j**4 + 0*j**n = 0. Calculate j.
0, 1
Let c(u) = -4*u**3 + 3*u**2 + 7*u + 3. Let j(o) = -11*o**3 + 8*o**2 + 20*o + 8. Let v(h) = 8*c(h) - 3*j(h). Determine k so that v(k) = 0.
-2, 0, 2
Let k(n) = n**2 + 2*n - 12. Let v be k(-5). Find l, given that 0 + 0*l - 2/7*l**2 - 2/7*l**v = 0.
-1, 0
Let r(f) be the second derivative of 1/6*f**4 - 2*f + 0 + f**2 - 2/3*f**3. Let r(j) = 0. Calculate j.
1
Let w(v) be the second derivative of -v**6/105 + v**4/14 - 2*v**3/21 + 12*v. Let w(r) = 0. Calculate r.
-2, 0, 1
Let h(g) = g**3 - 31*g**2 + 2*g - 62. Let v be h(31). Factor v - 3/2*n**2 + 3*n - 3/2*n**3.
-3*n*(n - 1)*(n + 2)/2
Let k = -86/45 - -16/9. Let g = 1/5 - k. Suppose 0*z - g + 2/3*z**2 - 1/3*z**4 + 0*z**3 = 0. Calculate z.
-1, 1
Let r(n) be the second derivative of n**4/42 + n**3/21 - 2*n**2/7 + 5*n. Factor r(g).
2*(g - 1)*(g + 2)/7
Let g(l) be the first derivative of -2*l**2 + l - 2. Let m be g(-1). Factor 5*z**m + 2*z**2 + 2*z**3 - 2*z**4 - 3*z**5 - 4*z**5.
-2*z**2*(z - 1)*(z + 1)**2
Let w be (-1)/(-2)*-4 - -4. Suppose m - 6 = -w*m. Factor 2/5*a**3 - 2/5*a + 0*a**m + 0.
2*a*(a - 1)*(a + 1)/5
Let o = -354992/3857 - -2617/29. Let h = o + 45/19. Find p such that 2/7*p**2 - 6/7*p + h = 0.
1, 2
Suppose 2*b + 11 = -5. Let t = -5 - b. Factor 3*x + 0*x - 2*x - x**t.
-x*(x - 1)*(x + 1)
Let w = 130 + -2728/21. Let f(h) be the first derivative of -1/7*h**2 + 2 + w*h**3 - 2/7*h + 1/14*h**4. Factor f(o).
2*(o - 1)*(o + 1)**2/7
Let r = 15 - 11. Factor -2*f**r - 2 + 2*f + 4*f**2 + 2*f**5 + f**5 - f**5 - 4*f**3.
2*(f - 1)**3*(f + 1)**2
Let a(p) be the third derivative of p**5/12 - 25*p**4/24 + 10*p**3/3 - 4*p**2. What is l in a(l) = 0?
1, 4
Let i = 0 + 0. Suppose -10 = -2*s - i*s. Factor 6*q**5 - 4*q**4 - 2*q**5 - 2*q**s + 2*q**3.
2*q**3*(q - 1)**2
Let s(j) = -6*j - 21. Let o be s(-4). What is n in 0 - 2/9*n**o + 2/9*n + 0*n**2 = 0?
-1, 0, 1
Let m(b) be the second derivative of -2*b**6/5 - b**5 - 2*b**4/3 + 9*b. Solve m(a) = 0.
-1, -2/3, 0
Let y(z) = -11*z**3 + 31*z**2 + 4. Let a(s) = -5*s**3 + 15*s**2 + 2. Let p(g) = 13*a(g) - 6*y(g). Let t be p(-9). Factor 8*f**2 - t + 1 + 0 + 3 - 10*f.
2*(f - 1)*(4*f - 1)
Let -3*r**3 + 4*r**4 + 5*r**3 + 2*r**5 + 0*r**4 + 0*r**3 = 0. Calculate r.
-1, 0
Let i(d) be the second derivative of d**4/6 - d**3 - 4*d**2 + 26*d. Let i(b) = 0. Calculate b.
-1, 4
Let i(z) be the first derivative of -z**2 - 2/3*z**3 + 1/2*z**4 + 2*z + 2. Solve i(j) = 0.
-1, 1
Suppose -3331 = 4*g + 5*f + 302, 5*f - 877 = g. Let w = -8108/9 - g. Determine a, given that -2/9*a**3 - 8/9*a**2 - w*a - 4/9 = 0.
-2, -1
Factor -2/5*p**2 - 18/5 + 12/5*p.
-2*(p - 3)**2/5
Let g(j) be the second derivative of -j**6/50 - 3*j**5/20 - 3*j**4/10 + 2*j**3/5 + 12*j**2/5 + 8*j. Suppose g(w) = 0. What is w?
-2, 1
Determine y so that 0*y + 2/3*y**2 - 2/3 = 0.
-1, 1
Let d = 14 - 8. Suppose -d*o + 4*o = -10. Factor 2/9*v**o - 2/9*v**3 + 0 - 2/9*v**4 + 2/9*v**2 + 0*v.
2*v**2*(v - 1)**2*(v + 1)/9
Let m(l) be the second derivative of -l**10/120960 - l**9/30240 + l**4/6 + 4*l. Let j(f) be the third derivative of m(f). What is s in j(s) = 0?
-2, 0
Let m(h) be the first derivative of 3*h**4/4 - 9*h**2/2 - 6*h + 6. Let m(k) = 0. What is k?
-1, 2
Let g(f) = 9*f**3 - 3*f - 3. Let a(q) = -q**4 + 10*q**3 - q**2 - 4*q - 4. Let n(m) = -3*a(m) + 4*g(m). Factor n(h).
3*h**2*(h + 1)**2
Let b(p) be the third derivative of p**8/168 - p**7/35 + p**6/30 + p**5/15 - p**4/4 + p**3/3 - 25*p**2. Suppose b(o) = 0. Calculate o.
-1, 1
Factor -9*d**4 - 12*d - 15*d**2 + 104*d**2 - 57*d**2 - 15*d**3.
-d*(d + 3)*(3*d - 2)**2
Let x(n) be the third derivative of 0*n - 1/420*n**7 + 0*n**6 + 0*n**5 + 0*n**4 - 3*n**2 + 0*n**3 + 0. Determine t so that x(t) = 0.
0
Let b(l) be the second derivative of l**9/52920 - l**8/11760 + l**7/8820 - l**4/6 - 2*l. Let o(j) be the third derivative of b(j). Let o(k) = 0. What is k?
0, 1
Let z = -2 + 0. Let p be 12/70*(5 - z). Determine t so that 0 + 18/5*t**3 - 4/5*t**2 + p*t**5 - 4*t**4 + 0*t = 0.
0, 1/3, 1, 2
Let z be ((-10)/60)/(-2 - 10/(-6)). Factor z*r + 0 + 5/4*r**3 + 7/4*r**2.
r*(r + 1)*(5*r + 2)/4
Suppose 7*s - 2*s - 4*x - 34 = 0, -s + 2*x = -8. Let t = s - 4. Factor 0*k**t - 2*k**2 + 0*k**2.
-2*k**2
Let k(x) be the first derivative of x**7/105 - x**5/15 + x**3/3 - 5*x**2 - 7. Let b(u) be the second derivative of k(u). Factor b(f).
2*(f - 1)**2*(f + 1)**2
Let c be (1/(-2))/((-2)/12). Let b(p) be the first derivative of -1/8*p**4 - 1/20*p**5 + 0*p + 0*p**c + 1 + 0*p**2. Factor b(r).
-r**3*(r + 2)/4
Let m be 16/30*(-24)/(-16). Find g such that -2/5*g**4 - 2/5*g**2 + 0 - m*g**3 + 0*g = 0.
-1, 0
Suppose 2*d + y = 3*y - 4, -2*y + 4 = -3*d. Suppose 0*v - 7/5*v**4 - 2/5*v**3 + d*v**2 + 0 = 0. Calculate v.
-2/7, 0
Let d(c) be the first derivative of -c**6/10 - 3*c**5/20 + 9*c**4/8 - c**3 + 4*c**2 + 8. Let z(g) be the second derivative of d(g). Factor z(t).
-3*(t - 1)*(t + 2)*(4*t - 1)
Factor 0 + 2/9*m**3 + 4/9*m**2 + 2/9*m.
2*m*(m + 1)**2/9
Let t(y) = -25*y**2 + 57*y - 20. Let d(u) = -75*u**2 + 172*u - 60. Let x(o) = -3*d(o) + 8*t(o). Factor x(n).
5*(n - 2)*(5*n - 2)
Let b(u) = -2*u**5 + 10*u**4 + 6*u**3 + 6*u**2 + 4. Let o(s) = -s**5 + 9*s**4 + 6*s**3 + 5*s**2 + 3. Let k(q) = 3*b(q) - 4*o(q). What is n in k(n) = 0?
-1, 0
Let o(z) be the first derivative of -z**3/7 - 3*z**2/2 