5)/2
Suppose -2*n + 2*w = 6*w - 20, -3*n = w - 10. Factor 10*g**2 - 27*g**2 + 12*g**4 - 36*g**3 + 16*g**4 + 16*g - 31*g**n.
4*g*(g - 2)*(g + 1)*(7*g - 2)
What is h in -23*h**2 + 57*h**2 - 198*h - 37*h**2 - 2028 + 42*h = 0?
-26
Let u be (1/(-3))/(7/364). Let x = -50/3 - u. Find o such that -8/3*o**2 - 2/3 + x*o**4 + 1/3*o**5 - 2/3*o**3 - 7/3*o = 0.
-1, 2
Let t be (21/70)/((-25)/(750/(-36))). Let -t + 1/4*r**2 - 1/4*r**3 + 1/4*r = 0. What is r?
-1, 1
Let j = -807/110 + 84/11. Let q(t) be the third derivative of 0 + 1/200*t**6 - 19/300*t**5 - j*t**3 + 3*t**2 + 11/40*t**4 + 0*t. Factor q(c).
(c - 3)**2*(3*c - 1)/5
Let m = 6/7717 - -23109/54019. Factor -6/7*k + 24/7 - m*k**2.
-3*(k - 2)*(k + 4)/7
Let x(o) = o**2 + 1. Suppose 5*w - 3*w = 0. Let m = 2 + w. Let f(z) = -2*z**2 - 2*z - 2. Let p(j) = m*f(j) + 6*x(j). Solve p(u) = 0 for u.
1
Suppose 4*q + 6 = -2*r, -2*r - 5*q = -7*r. Let j be 12/(-2*2)*r. Solve -2*m**5 + m**4 + 5*m**3 - 7*m**j - 5*m**4 = 0 for m.
-1, 0
Let f(i) be the second derivative of -i**5/4 - 5*i**4/6 + 11*i - 1. Factor f(u).
-5*u**2*(u + 2)
Let b = 5/2833 + 5641/14165. Factor 2/5*x**2 - 4/5 + 6/5*x**3 - 6/5*x + b*x**4.
2*(x - 1)*(x + 1)**2*(x + 2)/5
Let d(q) be the second derivative of q**7/420 - q**6/36 + 7*q**5/60 - q**4/4 + 2*q**3/3 - 5*q. Let k(l) be the second derivative of d(l). Factor k(g).
2*(g - 3)*(g - 1)**2
Let r(c) be the third derivative of -c**8/8400 + c**7/525 - c**6/100 - 7*c**4/4 + 33*c**2. Let s(j) be the second derivative of r(j). Factor s(f).
-4*f*(f - 3)**2/5
Let q(z) = 5*z**3 - 15*z - 16. Let u be (-138)/4 + 14/(-28). Let l(n) = 30*n**3 - 90*n - 95. Let a(j) = u*q(j) + 6*l(j). What is h in a(h) = 0?
-1, 2
Let i(u) be the second derivative of 1/2*u**4 - 1/5*u**6 + 0*u**2 - 7*u + 0*u**3 + 3/20*u**5 - 1/14*u**7 + 0. Determine m, given that i(m) = 0.
-2, -1, 0, 1
Let i(v) be the second derivative of v**4/6 - v**3/6 + v. Let g be i(-1). Factor -4*y + y**3 - 3 + 1 + 2*y**4 + 3*y**g.
2*(y - 1)*(y + 1)**3
Suppose -2064/7*n**2 - 80/7*n + 180*n**4 - 5884/7*n**3 + 0 = 0. What is n?
-2/7, -2/45, 0, 5
Let s = 15/911 - -2703/1822. Let 1/4*z + 1/4*z**2 - s = 0. Calculate z.
-3, 2
Let x(j) = j**3 - 5*j**2 - 33*j + 167. Let m be x(5). Solve 0*h**3 + 3/8*h**4 + 0*h + 3/8 - 3/4*h**m = 0.
-1, 1
Let w(s) be the second derivative of s**7/168 + s**6/8 - s**5/40 - 5*s**4/8 + s**3/24 + 15*s**2/8 - 3*s + 67. Let w(v) = 0. Calculate v.
-15, -1, 1
Let f(z) be the first derivative of z**6/6 + 6*z**5/5 + 13*z**4/4 + 4*z**3 + 2*z**2 - 26. Find m such that f(m) = 0.
-2, -1, 0
Let d(p) be the second derivative of -p**4/12 - 13*p. Let b(o) = 8*o**2 + 2*o + 2. Let m(h) = b(h) + 12*d(h). Factor m(k).
-2*(k - 1)*(2*k + 1)
Let i(g) be the third derivative of 0*g + 7/480*g**6 - 3/40*g**5 - 1/840*g**7 - 1/3*g**3 + 0 - 23*g**2 + 5/24*g**4. Solve i(b) = 0.
1, 2
Let c(r) = 16*r + 57. Let h be c(-12). Let b be (1 - 7/(245/h)) + -4. Find u such that -b*u - 4/7 - 2/7*u**2 = 0.
-2, -1
Let x(b) be the first derivative of 3/2*b**2 + 11 + 0*b**3 - 1/4*b**4 - 2*b. Determine v so that x(v) = 0.
-2, 1
Suppose -7*q = -5*q. Suppose 3*s + 3*z = -0 + 12, s + 5*z + 12 = q. Factor -p**4 + 2*p + 7*p**3 - s*p**3 - p + p**2.
-p*(p - 1)*(p + 1)**2
Let y(z) be the third derivative of -z**7/735 - 4*z**6/105 - 13*z**2 - 10. Factor y(x).
-2*x**3*(x + 16)/7
Let p(v) = -4*v**2 - 101*v - 3. Let a(c) = -3*c**2 - 99*c - 2. Let t(o) = -3*a(o) + 2*p(o). Factor t(d).
d*(d + 95)
Let f be 1 - ((-1)/(-3))/(4/(-12)). Factor 4/11*c - 2/11*c**f - 2/11.
-2*(c - 1)**2/11
Let m be (96/126)/(684/399). Factor r + 1/9*r**3 - 2/3*r**2 - m.
(r - 4)*(r - 1)**2/9
Let l(s) be the second derivative of -s**6/10 + 51*s**5/20 + s**4/4 - 17*s**3/2 - 562*s. Let l(c) = 0. What is c?
-1, 0, 1, 17
Let n be (-1 + -7)/((-3)/3). Suppose 10 = 9*p - 4*p - 4*o, 2 = p + 2*o. Factor -5*f + f**2 + p - 1 + n - f.
(f - 3)**2
Find q, given that 18/19*q + 16/19*q**2 + 2/19*q**3 - 36/19 = 0.
-6, -3, 1
Let m(g) = -g**2 + 11*g - 10. Let b be m(9). Let y be (2/b)/((-5)/(-10)). Suppose -y + 1/4*x**2 - 1/4*x = 0. Calculate x.
-1, 2
Determine u so that 0 - 2/7*u**2 + 2/7*u = 0.
0, 1
Let a(h) be the first derivative of -h**7/210 + h**5/30 + 5*h**3 - 40. Let s(d) be the third derivative of a(d). Factor s(t).
-4*t*(t - 1)*(t + 1)
Let u(y) be the second derivative of -3*y**5/10 + 3*y**4/8 + 9*y**3/4 + 3*y**2/2 + 3*y + 17. Factor u(a).
-3*(a - 2)*(a + 1)*(4*a + 1)/2
Let h = -5863 - -23455/4. Factor -1/2 - 1/4*a**2 + h*a.
-(a - 2)*(a - 1)/4
Let 1/5*x**2 + 180 + 12*x = 0. What is x?
-30
Let t be (-399)/(-77) - 6 - 8/(-8). Factor -t*f**2 + 0 + 0*f.
-2*f**2/11
Let a(j) = -j**3 + 13*j**2 - 12*j + 4. Let r be a(12). Factor 12*f**4 + 162*f**3 - r*f - 22*f**2 - 2*f**4 - 170*f**3.
2*f*(f - 2)*(f + 1)*(5*f + 1)
Suppose -2*n - 5*z + 34 = 0, -82*z + 78*z + 18 = -3*n. Factor -1/7*p**5 - 3/7*p**4 + 0*p + 0 + 0*p**n - 2/7*p**3.
-p**3*(p + 1)*(p + 2)/7
Let m(v) be the first derivative of -12 - 2/5*v**2 - 4/5*v**3 + 8/5*v. Let m(o) = 0. Calculate o.
-1, 2/3
Let u be 1*1/5 - 6759/(-3755). Find f such that 0 - 2/3*f**u - 1/3*f - 1/3*f**3 = 0.
-1, 0
Let s(g) be the first derivative of -g**6/40 - g**5/10 - g**4/6 - 4*g**3 + 20. Let t(i) be the third derivative of s(i). Determine u, given that t(u) = 0.
-2/3
Let j be (-5 - (-5030)/1005)*(6 + 0). Let q = j - -120/469. Solve -12/7*h**2 - q - 8/7*h**3 - 2/7*h**4 - 8/7*h = 0.
-1
Factor 8*v + 5/2*v**3 + 0 - 1/4*v**4 - 8*v**2.
-v*(v - 4)**2*(v - 2)/4
Let d(y) be the first derivative of y**6/10 - y**5/10 - 7*y**4/12 - y**3/3 - 23*y - 20. Let z(k) be the first derivative of d(k). Factor z(f).
f*(f - 2)*(f + 1)*(3*f + 1)
Suppose 19/3*f**2 + 1/3*f**3 + 64/3*f + 20 = 0. What is f?
-15, -2
Let k(c) = 11*c**2 + 14*c + 9. Let w(t) be the third derivative of -3*t**5/4 - 55*t**4/24 - 35*t**3/6 + 15*t**2. Let z(f) = -25*k(f) - 6*w(f). Factor z(s).
-5*(s + 1)*(s + 3)
Let r(x) be the third derivative of -x**8/18144 - 17*x**7/22680 - x**6/540 - x**5/30 + 2*x**2. Let a(t) be the third derivative of r(t). Factor a(n).
-2*(n + 3)*(5*n + 2)/9
Factor -27 + 18*b**2 + 19*b**3 - 11*b**4 - 81/2*b + 3/2*b**5.
(b - 3)**3*(b + 1)*(3*b + 2)/2
Let f be (-1 + -62)/9 + 12. Let j(r) be the first derivative of -1/25*r**f + 0*r - 6 + 1/5*r**3 + 0*r**4 - 1/5*r**2. Factor j(k).
-k*(k - 1)**2*(k + 2)/5
Suppose 0*m + 5*i = m - 24, 0 = -4*m - 5*i - 4. Suppose 5*g**3 + g**2 + g**5 - 15*g**3 + 5*g**2 + 2*g**m + g**5 = 0. What is g?
-3, 0, 1
Suppose 0 = -2*v + 10*m - 9*m + 5, 4*v - 11 = 3*m. Let a(h) be the first derivative of 1/12*h**4 - 1/6*h**v + 2 + 1/9*h**3 - 1/3*h. Factor a(b).
(b - 1)*(b + 1)**2/3
Let a(w) = 12*w**3 - 123*w**2 + 5*w + 5. Let r(z) = 17*z**3 - 185*z**2 + 7*z + 7. Let i(y) = 7*a(y) - 5*r(y). Let i(p) = 0. What is p?
0, 64
Let q = 5692 - 5690. Let 18*f - 54 - 3/2*f**q = 0. Calculate f.
6
Solve w**5 + 80*w**2 + 8*w**5 - 96 - 11*w**4 - 88*w + 42*w**3 - 17*w**4 - 7*w**5 = 0.
-1, 2, 12
Let o be (4/(-8))/((-1)/8). Let y(d) be the third derivative of 11/40*d**4 + 0 - o*d**2 + 0*d - 9/200*d**6 - 1/5*d**3 - 3/25*d**5. Solve y(j) = 0 for j.
-2, 1/3
Let s = -1/2386 + 28639/16702. Factor -3/7*a**2 - 12/7*a - s.
-3*(a + 2)**2/7
Let s(m) be the third derivative of 25/24*m**4 + 5*m**3 + 0*m - 1/6*m**5 + 0 - 1/24*m**6 - 29*m**2. What is c in s(c) = 0?
-3, -1, 2
Let j be -2 + (3 - -3) - 9. Let s(k) = -6*k**2 - 32*k - 6. Let i be s(j). Factor 2/9*p**3 + 0*p**i + 0 - 2/9*p**5 + 0*p + 0*p**2.
-2*p**3*(p - 1)*(p + 1)/9
Let i(q) be the third derivative of 1/42*q**3 + 2/105*q**6 + 0*q - 1/24*q**4 + 0 + 2/105*q**5 - 11*q**2. Factor i(o).
(o + 1)*(4*o - 1)**2/7
Let z(y) be the first derivative of 9*y**5/5 - 85*y**4/4 + 93*y**3 - 351*y**2/2 + 108*y - 250. Solve z(i) = 0.
4/9, 3
Let j be (9/3)/(-3)*(-13 + 13). Let m be (j - (2 + 1)) + (-93)/(-27). Factor 2/3*g**4 - 10/9*g**3 + 0 - m*g**2 + 0*g.
2*g**2*(g - 2)*(3*g + 1)/9
What is s in 0 - 3/2*s - 1/2*s**2 = 0?
-3, 0
Let q(m) be the first derivative of -3*m**5/40 + 15*m**4/16 - 9*m**3/2 + 81*m**2/8 - 81*m/8 + 52. Factor q(x).
-3*(x - 3)**3*(x - 1)/8
Let y(n) = n**2 - 3*n. Let j(q) be the second derivative of 5*q**4/4 - 8*q**3 - 46*q. Let v(w) = 2*j(w) - 33*y(w). Factor v(o).
-3*o*(o - 1)
Suppose 0 = 4*f - 31 + 31. Let p(m) be the third derivative of -3/5*m**5 + 0 - 32/3*m**3 - 8*m**2 + 1/30*m**6 + f*m + 