?
-2/3, 2
Suppose -g + 2*c = 0, -1 = -5*c + 4. Find n, given that -2/3*n - 4/9 - 2/9*n**g = 0.
-2, -1
Let m = 16 - 13. What is z in -4/5*z + 0 - 2/5*z**2 + 2/5*z**m = 0?
-1, 0, 2
Find x, given that -x - 8 + 8 - 7*x + 20*x**2 = 0.
0, 2/5
Let z(y) be the third derivative of y**7/945 + y**6/540 - y**5/270 - y**4/108 + 6*y**2. Factor z(x).
2*x*(x - 1)*(x + 1)**2/9
Let s(k) be the first derivative of -4*k - 4/3*k**3 + 4*k**2 + 3. Factor s(y).
-4*(y - 1)**2
Let w = -22 - -25. Determine z so that 2*z**2 + 7 + 0*z**2 - w - 6*z = 0.
1, 2
Let d be (-8)/4 + 7/1. Let k = d - 2. Factor t**k - 4*t**4 - t**5 - 2*t**3 + 0*t**5 + 2*t**4.
-t**3*(t + 1)**2
Let v(n) = 2*n + 14. Suppose -2*r - 7 = -r. Let h be v(r). Factor -32/7*i**4 + 22/7*i**3 - 4/7*i**2 + h + 2*i**5 + 0*i.
2*i**2*(i - 1)**2*(7*i - 2)/7
Let h(w) be the third derivative of 1/6*w**4 + 0*w + 0 + 1/30*w**5 - 10*w**2 - w**3. Factor h(f).
2*(f - 1)*(f + 3)
Let l = -30 - -30. Let r(i) be the first derivative of 15/2*i**4 - 2 + l*i + i**6 + 2*i**2 - 22/5*i**5 - 6*i**3. Find p such that r(p) = 0.
0, 2/3, 1
Let m(w) be the first derivative of 0*w**2 - 1/5*w**5 + 0*w - 1 - 1/6*w**6 + 1/4*w**4 + 1/3*w**3. Determine f, given that m(f) = 0.
-1, 0, 1
Factor 2/3*y**3 + 4/3*y**2 + 2/3*y + 0.
2*y*(y + 1)**2/3
Let g(l) be the second derivative of 0*l**2 + 4*l + 1/12*l**4 + 0*l**3 + 0*l**5 + 0 - 1/30*l**6. Factor g(v).
-v**2*(v - 1)*(v + 1)
Factor 10*y**4 - 2*y + 6*y**3 + 0*y + 0*y - 14*y**4.
-2*y*(y - 1)**2*(2*y + 1)
Let u(k) be the first derivative of -k**4/2 + 2*k**3 - 2*k**2 + 6. Factor u(z).
-2*z*(z - 2)*(z - 1)
Let w(l) be the third derivative of 1/3*l**3 + 0*l - 2*l**2 - 1/420*l**5 + 1/1260*l**6 + 0*l**4 + 0. Let t(h) be the first derivative of w(h). Factor t(p).
2*p*(p - 1)/7
Let l = 632/7 - 90. Let y be (-30)/70 + 9/7. Factor 0 + 2/7*o**4 + y*o**3 + l*o + 6/7*o**2.
2*o*(o + 1)**3/7
Let n(j) = -j**4 - 3*j**3 + 3*j**2 - 2*j - 3. Let g(w) = -3*w**2 - 2*w - 2 + 7*w**2 + 0*w**3 + 2*w**3 - 6*w**3. Let t(q) = -3*g(q) + 2*n(q). Factor t(a).
-2*a*(a - 1)**3
Suppose 4*a - 37 = -5*u, 0*a - 2*a + 3*u = 9. Suppose -9*f**5 + 3*f**4 - 3*f**4 + 13*f**5 - 4*f**a = 0. Calculate f.
-1, 0, 1
Let j(y) be the second derivative of -y**4/96 + 8*y. Find q, given that j(q) = 0.
0
Let n = -15 + 35. Suppose -6*q + q = -n. Factor -7/4*w + 2*w**2 + 1/4 + q*w**3.
(w + 1)*(4*w - 1)**2/4
Let q(v) be the second derivative of 4*v**5 - 10*v**4/3 - 35*v**3/6 - 5*v**2/2 + 10*v. Factor q(o).
5*(o - 1)*(4*o + 1)**2
Let o = 9 + -9. Let n(p) be the third derivative of 0*p - 9/100*p**6 + o - 3/20*p**4 - 9/50*p**5 - p**2 - 1/15*p**3. Suppose n(m) = 0. Calculate m.
-1/3
Let z(w) be the second derivative of -w**7/63 + w**5/15 - w**3/9 - 9*w. Let z(i) = 0. Calculate i.
-1, 0, 1
Let o(y) = 2*y - 5. Let h be o(4). Suppose -p - 3*p = -h*g + 3, 2*p = 5*g - 19. Find n such that 0 + 0*n**2 + 0*n**p + 0*n**4 + 0*n + 2/3*n**5 = 0.
0
Let x(v) = -16*v**4 + 22*v**3 - 4*v**2 + 2*v - 2. Let o(a) = -a**4 - a + 1. Let q(j) = -2*o(j) - x(j). Factor q(n).
2*n**2*(n - 1)*(9*n - 2)
Let g(j) be the second derivative of 0 + 5/6*j**3 + 1/4*j**4 - j**2 - 2*j. Factor g(v).
(v + 2)*(3*v - 1)
Let d = -1791 - -322381/180. Let a(q) be the third derivative of 0 + 0*q - 1/9*q**3 - d*q**6 - 1/12*q**4 - 1/30*q**5 + 2*q**2. Factor a(u).
-2*(u + 1)**3/3
Suppose -4*r + 1 = -63. Suppose l - 4*q + r = 0, -q + 0*q = -5*l + 15. Factor l*i**2 - 5*i**2 - i + 0*i.
-i*(i + 1)
Let x = 2143/3 + -713. Let 0*j**4 + x*j**2 + 2*j**3 + 0 - 2/3*j**5 + 0*j = 0. Calculate j.
-1, 0, 2
Let x(v) = -v - 1. Let z be x(5). Let u be (-4)/z*(-63)/(-28). Factor -u*h**2 + 3*h - 3/2.
-3*(h - 1)**2/2
Let f(d) be the first derivative of -6*d**5/65 + d**4/13 + 2*d**3/13 - 2*d**2/13 - 21. Determine w, given that f(w) = 0.
-1, 0, 2/3, 1
Let 1/4*l**4 + 0 + l - 3/4*l**3 + 0*l**2 = 0. Calculate l.
-1, 0, 2
Factor -15*a**2 + 9*a**2 + 4 - 6*a + 2*a**2 + 6*a**3.
2*(a - 1)*(a + 1)*(3*a - 2)
Let c(d) = -3*d**5 + 3*d**4 + d**3 - 3*d**2 - 2. Let a(w) = -13*w**5 + 13*w**4 + 3*w**3 - 13*w**2 + w - 9. Let z(b) = 4*a(b) - 18*c(b). What is j in z(j) = 0?
-1, 0, 1, 2
Suppose -4*m - m = -3*h, -4*h = -m. Suppose m = -3*q - 3 + 9. Determine b so that -2/7*b**q + 0 - 4/7*b = 0.
-2, 0
Let b(f) be the second derivative of -5*f**7/42 + f**5/2 - 5*f**3/6 + 9*f. Let b(i) = 0. Calculate i.
-1, 0, 1
Suppose 3*j - 4*d = 2, 3*j - 2*d = -0 + 10. Suppose -j*i = -0*i - 18. Factor 0 + 0*h - 2/3*h**i + 2/3*h**2.
-2*h**2*(h - 1)/3
Let u(x) = x**2 + 4*x. Let g = 0 - 5. Let y be -5*((-12)/g)/3. Let c(v) = -v**2 - 5*v. Let h(o) = y*c(o) - 5*u(o). Factor h(q).
-q**2
Let g = -3 + 4. Suppose -2 = -s + g. Determine z so that -z - 2*z**4 + s*z**3 + 4*z**2 - 4*z**2 = 0.
-1/2, 0, 1
Determine w so that -4/3*w**3 - 5/3*w**5 + 0*w**2 + 0*w + 4*w**4 + 0 = 0.
0, 2/5, 2
Let w be 2*39/30 + (3 - 5). Find s such that 18/5*s**2 + w*s**4 - 3*s**3 - 24/5 + 12/5*s = 0.
-1, 2
Let l(g) = g**3 - g**2 + g - 1. Let a be l(1). Determine b so that -6/5*b**4 + 0*b + 4/5*b**3 + 2/5*b**5 + 0 + a*b**2 = 0.
0, 1, 2
Let j(a) be the first derivative of a**5/3 - a**4/12 - 13*a**3/9 + 3*a**2/2 - 9. Factor j(k).
k*(k - 1)**2*(5*k + 9)/3
Solve -215*f + 215*f - 4*f**2 - 2*f**3 = 0 for f.
-2, 0
Let q be 1*26/24 + -1. Let y(j) be the second derivative of 0 - 1/6*j**3 - q*j**4 + j + 0*j**2. Suppose y(m) = 0. Calculate m.
-1, 0
Determine k so that -2/5*k**4 - 4/5*k + 0 - 2/5*k**5 + 6/5*k**3 + 2/5*k**2 = 0.
-2, -1, 0, 1
Let a(y) = -3*y**4 - 7*y**3 - 2*y**2 + 2*y. Let p(x) = -4*x**4 - 8*x**3 - 2*x**2 + 2*x. Let g(w) = 6*a(w) - 5*p(w). Factor g(h).
2*h*(h - 1)**2*(h + 1)
Let n be (0 + 48)*2/6. Let h = 20 - n. Let -1/5*q**2 + 0*q**3 + 0*q + 0 + 1/5*q**h = 0. Calculate q.
-1, 0, 1
Find q, given that -4/3*q**2 + 2/9*q**3 - 4/3 + 22/9*q = 0.
1, 2, 3
Let v(b) be the first derivative of b**4/16 + 5*b**3/12 + 7*b**2/8 + 3*b/4 - 3. Find w such that v(w) = 0.
-3, -1
Let z(a) be the first derivative of a**4 - 6*a**2 - 8*a + 23. Factor z(r).
4*(r - 2)*(r + 1)**2
Factor -3*v - v**2 + 5*v + 0*v + 3*v**2.
2*v*(v + 1)
Let v(r) be the first derivative of r**4/2 + 2*r**3 + 3*r**2 + 2*r + 12. Solve v(u) = 0.
-1
Let d(g) be the third derivative of -g**7/168 + g**6/48 - 6*g**2. What is w in d(w) = 0?
0, 2
Let y(l) = -l**2 + 2. Let b be y(2). Let s be ((-2 - b)/1)/(-2). Factor s*x**3 + 2/3*x**4 - 2/3*x**2 + 0 + 0*x.
2*x**2*(x - 1)*(x + 1)/3
Let t = -196 - -199. Let r(j) be the third derivative of 1/12*j**4 + 2/9*j**3 + 0 + 0*j + 1/90*j**5 + t*j**2. Suppose r(o) = 0. What is o?
-2, -1
Let l(b) be the third derivative of -b**8/70560 - b**5/30 - 3*b**2. Let p(t) be the third derivative of l(t). What is h in p(h) = 0?
0
Let p = -70 - -72. Solve 0 + 2/3*y**5 + p*y**3 + 0*y - 2*y**4 - 2/3*y**2 = 0.
0, 1
Suppose 61*u = 55*u + 12. Find x, given that 1/4 + 0*x - 1/4*x**u = 0.
-1, 1
Let h(v) = v**2 + 1. Let w be h(1). Let s(i) be the second derivative of 0*i**w - 1/9*i**3 + 0 + i - 1/45*i**6 + 1/18*i**4 + 1/30*i**5. Factor s(x).
-2*x*(x - 1)**2*(x + 1)/3
Factor 0 + 1/5*q - 1/5*q**3 + 0*q**2.
-q*(q - 1)*(q + 1)/5
Let z be 0/(4/(-2)) + 76. Suppose -z = -3*t - t. Factor n**2 + t*n**4 + 2*n - 4*n**3 - 11*n**3 - 12*n**5 + 5*n**5.
-n*(n - 1)**3*(7*n + 2)
Let i = -24 + 40. Suppose i*u**2 - 16*u - 6*u**2 + 8 + 0*u**3 - 2*u**3 = 0. Calculate u.
1, 2
Let x(a) be the first derivative of 2*a**5/55 + 3*a**4/22 - 4*a**2/11 + 18. Suppose x(m) = 0. Calculate m.
-2, 0, 1
Let n(i) be the second derivative of 1/2*i**3 + 5*i + 0 - 3/20*i**5 + 0*i**2 + 0*i**4. Solve n(w) = 0 for w.
-1, 0, 1
Let r(f) be the third derivative of -6*f**2 + 0 + 1/40*f**6 + 1/50*f**5 + 0*f + 0*f**3 + 0*f**4. Factor r(m).
3*m**2*(5*m + 2)/5
Suppose -5*i = -38 - 37. Let h be 117/i - 2/(-10). Let u(v) = v**3 - v**2 - 3. Let f(t) = -3*t**3 + 3*t**2 + 8. Let w(g) = h*u(g) + 3*f(g). Factor w(d).
-d**2*(d - 1)
Determine b so that 11*b**3 + 10*b**3 - 90*b**2 - 49*b - 24 + 157*b = 0.
2/7, 2
Let h(v) = v - 10. Let j be h(12). Let x be (-4)/(-8)*4/6. Factor -i - 2/3 - x*i**j.
-(i + 1)*(i + 2)/3
Suppose 0 = r - 5*h + 19, -3*r = 5*h - 23. Suppose -4*q = 2*t - 8*q + 16, q + r = 3*t. Find j, given that -1/2*j**t - 1/4*j + 1/4 = 0.
-1, 1/2
Let z(d) be the first derivative of d**9/756 - d**8/210 - d**7/210 + d**6/45 - 4*d**3/3 - 2. Let n(c) be the third derivative of z(c). Factor n(m).
4