mine a, given that 2*a**3 - 3*a**2 + a**2 + 3*a**w - 3*a - 1 + 0*a**5 + a**5 = 0.
-1, 1
Let p(k) = -k. Let h(u) = 5*u**3 + 10*u**2 - 89*u - 100. Let v(z) = -h(z) - 6*p(z). Solve v(c) = 0.
-5, -1, 4
Let j(h) be the first derivative of h**4/12 - h**3/6 - 3*h**2 + 33*h + 5. Let b(t) be the first derivative of j(t). What is n in b(n) = 0?
-2, 3
Let w(l) be the third derivative of l**7/70 + 17*l**6/40 + 4*l**5/5 - 9*l**2 - 24. Find f such that w(f) = 0.
-16, -1, 0
Let l = 23 - 20. Suppose -5*j + 3*q = -20, -2*q = -3*j + l*q + 12. Factor -2*r + j*r + 6*r**2 - 5*r**2.
r*(r + 2)
Let o(a) be the first derivative of 0*a**5 + 1/3*a**6 + 0*a**4 + 0*a**3 + 18 + 0*a**2 + 0*a. What is x in o(x) = 0?
0
Let j(n) = -4*n**5 + 102*n**4 - 2700*n**3 - 2803*n**2 + 3. Let q(t) = 7*t**5 - 205*t**4 + 5401*t**3 + 5608*t**2 - 5. Let y(l) = -5*j(l) - 3*q(l). Factor y(d).
-d**2*(d - 53)**2*(d + 1)
Let l(q) be the third derivative of q**5/6 - 53*q**4/3 + 28*q**3 - 108*q**2. Let l(f) = 0. Calculate f.
2/5, 42
Let g(v) be the second derivative of 49*v**6/10 - 1827*v**5/20 + 359*v**4/2 + 282*v**3 + 132*v**2 - 279*v. Find o such that g(o) = 0.
-2/7, 2, 11
Factor 104*r**3 - 12379*r**2 + 13*r**4 + 3*r**4 - 4*r**5 + 12555*r**2 + 32 + 124*r.
-4*(r - 8)*(r + 1)**4
Let w(q) = -6*q - 36. Let g be w(-8). Let i(r) be the second derivative of g*r**3 + 4*r**2 + 0 + 3*r + 27/2*r**4. Factor i(b).
2*(9*b + 2)**2
Let v(m) = 4*m**3 - 2*m**2 + m**2 + 0*m**2. Let y be v(1). Factor 5*p**2 - p**3 - 6*p**2 + 0*p**y.
-p**2*(p + 1)
Let u be (-3)/2*5*(-88)/132. Suppose -8*d + 4/3*d**2 + 22/3*d**3 - 16/3 + 2/3*d**u + 4*d**4 = 0. What is d?
-2, -1, 1
Let m be ((-1)/(-12))/((-47)/(-1128)). Find h, given that -4/3*h + m - 2/3*h**2 = 0.
-3, 1
Suppose 8 = p - 4*r, -3*p - 3*r = r + 8. Suppose p = 3*b, -2*t - 3*b - b + 6 = 0. Factor 4*u**4 - 13*u**2 - u**4 - 2*u**2 + 6*u + 9*u**t - 3*u**5.
-3*u*(u - 1)**3*(u + 2)
Let o(t) = -t - 12. Let k be o(-8). Let v(j) = -j**2 - 10*j - 9. Let n(d) = -2*d**2 - 19*d - 18. Let u(q) = k*n(q) + 7*v(q). Factor u(f).
(f + 3)**2
Let g(z) be the third derivative of -z**8/336 - 8*z**7/105 - 73*z**6/120 - 3*z**5/10 + 27*z**4/2 - 36*z**3 - 130*z**2. Factor g(l).
-(l - 1)**2*(l + 6)**3
Suppose -3*y - 36 = -4*z, 2*y = -4*z - 0*y + 16. Suppose -14 = -5*r + z. Determine p so that -2*p**4 + r*p**3 - 6*p**2 + p**4 + 10*p - 3*p - 1 - 3*p = 0.
1
Let t be (483/182 + (-4)/26)*4/45. Determine p so that 2/9*p + 0 - t*p**3 + 8/9*p**4 - 8/9*p**2 = 0.
-1, 0, 1/4, 1
Let j(c) be the first derivative of 9*c**6/2 - 48*c**5/5 - 3*c**4 - 63. Determine p so that j(p) = 0.
-2/9, 0, 2
Let l(f) be the first derivative of f - 3/2*f**2 + f**3 - 1/4*f**4 - 1. Suppose l(p) = 0. What is p?
1
Factor -1/3*n**3 + 0 - 1/3*n**2 + 2/3*n.
-n*(n - 1)*(n + 2)/3
Let g(c) = 7*c**3 + 27*c**2 - 8*c - 4. Let z(n) = -8*n**3 - 29*n**2 + 7*n + 6. Let v(r) = -6*g(r) - 4*z(r). Factor v(d).
-2*d*(d + 5)*(5*d - 2)
Let k = 113/308 + 9/44. Suppose 4 + 6 = 5*w. Factor -2/7*l**5 + 0*l + 0 - k*l**4 + 0*l**w - 2/7*l**3.
-2*l**3*(l + 1)**2/7
Let p = -1758 + 5377/3. Let i = -33 + p. Let i*z + 1/3 + 4/3*z**2 = 0. What is z?
-1/2
Let i(t) be the first derivative of 5*t**4/12 + 2*t**3/3 - t**2/2 - 4*t/3 + 359. Factor i(z).
(z + 1)**2*(5*z - 4)/3
Let c = 601/447 - 101/149. Determine d so that c*d**2 + 54 - 12*d = 0.
9
Let n be (-246)/(-8) - 18/24. Factor -7*z**3 - 5*z**3 + 16 - 28*z**2 + 2*z + n*z - 8*z**3.
-4*(z - 1)*(z + 2)*(5*z + 2)
Let l(c) = -50*c**4 - 265*c**3 - 50*c**2 + 125*c + 20. Let a(r) = 7*r**4 + 38*r**3 + 7*r**2 - 18*r - 3. Let k(g) = 20*a(g) + 3*l(g). What is f in k(f) = 0?
-3, -1, 0, 1/2
Suppose -5*n + 2*n + 15 = 0. Let s = 4510 + -4507. Factor -2/5*i**2 + 2/5*i**s + 0 + 2/5*i**4 + 0*i - 2/5*i**n.
-2*i**2*(i - 1)**2*(i + 1)/5
Let d(y) be the second derivative of y**6/90 + 13*y**5/60 + 17*y**4/12 + 67*y**3/18 + 14*y**2/3 + 590*y. What is c in d(c) = 0?
-7, -4, -1
Let l = -684 + 3421/5. Let s(d) be the second derivative of l*d**5 - 1/15*d**4 + 5*d - 14/75*d**6 + 0*d**3 + 0*d**2 + 2/35*d**7 + 0. Factor s(p).
4*p**2*(p - 1)**2*(3*p - 1)/5
Let v(m) be the first derivative of 0*m - 2/7*m**2 - 2/3*m**3 + 2/7*m**4 - 30. Let v(h) = 0. What is h?
-1/4, 0, 2
Let w = 71 + -69. Factor -16*g - 16*g**3 - 5*g**4 + 2*g**4 + 4 + 24*g**w + 7*g**4.
4*(g - 1)**4
Suppose -1 = -x + p + 8, 4*x - 5*p - 41 = 0. Factor -10/9*m**2 + 16/9*m**x - 8/9*m**5 + 2/9 - 2/9*m**3 + 2/9*m.
-2*(m - 1)**3*(2*m + 1)**2/9
Let y(j) be the second derivative of 1/2*j**4 - 2*j**3 - 5*j**2 + 2/5*j**5 + 25*j + 0. Factor y(h).
2*(h + 1)**2*(4*h - 5)
Let k(w) = -23*w**3 + 17*w**2 + w - 5. Let d(h) = -4*h**3 + 3*h**2 - 1. Let c(z) = 34*d(z) - 6*k(z). Factor c(u).
2*(u - 2)*(u + 1)**2
Let u(x) = -x**2 + 6*x - 6. Let s be u(4). Determine h, given that 3*h**s + 19*h**2 - 12*h**3 + 14*h**2 + 93*h**3 + 6 - 39*h = 0.
-1, 2/9, 1/3
Let x(q) be the second derivative of -3*q**5/20 - 3*q**4/4 + 2*q**3 + 74*q. Factor x(g).
-3*g*(g - 1)*(g + 4)
Factor 163*c + 10*c**2 - 10 - 316*c + 155*c - 2*c**3.
-2*(c - 5)*(c - 1)*(c + 1)
Suppose 33*z = 39*z - 12. Factor -2/9 - 10/9*n - 10/9*n**4 - 20/9*n**3 - 2/9*n**5 - 20/9*n**z.
-2*(n + 1)**5/9
Let l be (4/12)/(3/297). Solve 0*v + 16*v - 6 - 9*v**2 - 5*v**2 - l*v + 4*v**4 + v**5 = 0.
-3, -1, 2
Let j = 11838/5 - 2367. Factor 0 + j*i**4 - 3/5*i**3 - 3/5*i**2 + 3/5*i.
3*i*(i - 1)**2*(i + 1)/5
Suppose -4*o = 12, 1640 = -p - 2*o + 1634. Let 0*j**2 - 8/5*j**5 + 0 + 0*j**3 + p*j - 4/5*j**4 = 0. What is j?
-1/2, 0
Let q = 13 - 7. Suppose -5*s = -5*o - 5, 3*s = 2*o + q - 2. Let r**3 - 2*r**4 - 2*r + 3*r**3 + s - r - r = 0. Calculate r.
-1, 1
Let p(k) be the second derivative of k**5/150 - 13*k**2/2 + 5*k. Let m(n) be the first derivative of p(n). Factor m(f).
2*f**2/5
Let i(x) be the first derivative of -x**4/10 - 2*x**3/5 - 64. Suppose i(z) = 0. What is z?
-3, 0
Let r(f) be the third derivative of -f**6/30 - f**5/15 + f**4/3 + 19*f**2. Factor r(u).
-4*u*(u - 1)*(u + 2)
Suppose -33 = -26*t + 45. Let j(y) be the first derivative of -6*y + 2/3*y**t + 2*y**2 + 3. Factor j(r).
2*(r - 1)*(r + 3)
Let r be 4/(108/111) - (73 - 70). Suppose -2/9*a**2 + 4/3*a - r = 0. Calculate a.
1, 5
Let p = -6694 - -6696. Let -2 - 42/5*d - 8/5*d**p = 0. What is d?
-5, -1/4
Let l(x) be the third derivative of -x**5/80 - 25*x**4/32 + 13*x**3/4 - 402*x**2. Factor l(k).
-3*(k - 1)*(k + 26)/4
Suppose 3*l = -5*b + 37, 4*l - 11 + 15 = 4*b. Determine i, given that -2/3*i + 0 - 5/3*i**2 + 5/3*i**4 - 1/3*i**3 + i**b = 0.
-1, -2/3, 0, 1
Let a(z) be the first derivative of 0*z**2 - 1/18*z**4 - 1/90*z**5 - 3*z + 4/27*z**3 - 1. Let k(u) be the first derivative of a(u). Factor k(i).
-2*i*(i - 1)*(i + 4)/9
Let q(f) = 3*f + 5. Let k be q(-1). Factor 0*g**k + 2*g**2 - 2*g**4 + 2*g**3 - 2*g - 3*g**2 + 3*g**2.
-2*g*(g - 1)**2*(g + 1)
Factor 1116*a**2 - 4 + 35*a - 1111*a**2 + 54.
5*(a + 2)*(a + 5)
Let 219015*u**2 - 215*u - 25*u + 2880 - 219010*u**2 = 0. What is u?
24
Let o be (40/(-90))/(4/(-18)). Factor -1 - 5 - 3*b + 13*b**o - b**2 - 3*b**2.
3*(b - 1)*(3*b + 2)
Let v(y) = 5*y**2 + 45*y. Let u(n) = 2*n**2 - n. Let i(c) = 5*u(c) - v(c). Factor i(a).
5*a*(a - 10)
Suppose -21*k + 3*k + 17 = -19. Solve -1/2*y**5 + 0*y + 0 - y**k - 2*y**4 - 5/2*y**3 = 0 for y.
-2, -1, 0
Let h(t) be the third derivative of -t**5/90 - 35*t**4/36 - 22*t**3/3 + 340*t**2 + 1. Factor h(x).
-2*(x + 2)*(x + 33)/3
Let l(o) = -o + 2. Let m be l(2). Suppose -r + 4*n + 15 = 0, -9*n - 9 = -6*n. Determine h, given that -3/2*h**4 + 0*h**2 + 0 + h**r + m*h + 1/2*h**5 = 0.
0, 1, 2
Let d(g) be the first derivative of -10*g + 25/6*g**3 - 15/8*g**4 + 18 + 5*g**2. Suppose d(f) = 0. What is f?
-1, 2/3, 2
Suppose 151*j = 113*j. Determine y so that -2/11*y**3 + j - 12/11*y**2 - 18/11*y = 0.
-3, 0
Let l(x) = 2*x**3 - 87*x**2 - 41*x - 130. Let h be l(44). Let q(r) be the first derivative of -1/4*r**3 - 9/4*r**h - 4 - 27/4*r. Suppose q(p) = 0. Calculate p.
-3
Suppose 34*o = 50*o - 32. Let -2/3*q**4 - 1/3*q**3 + 0*q**o - 1/3*q**5 + 0 + 0*q = 0. Calculate q.
-1, 0
Let l(q) = -9*q**4 + 18*q**3 - 3*q**2 - 30*q. Let j(z) = 17*z**4 - 36*z**3 + 7*z**2 + 60*z. Let s(f) = -6*j(f) - 11*l(f). Find p, given that s(p) = 0.
-1, 0, 2, 5
Let f(l) be the first derivative of -2/3*l**2 - 7 - 1/15*l**5 + 4/3*l - 1/3*l**3 + 1/3*l**4. Factor f(w).
-(w - 2)**2*(w - 1)*(w 