actor -50*n**3 + 73 - 214*n + 2*n**4 + 23 + 178*n**2 - 12.
2*(n - 21)*(n - 2)*(n - 1)**2
Suppose 0 = -3*f + 3*o + 11 + 10, -f = o - 1. Factor -f*m**2 - 2*m**2 - 3*m**2 + 9*m - 3 + 3*m**3.
3*(m - 1)**3
Let g(v) be the third derivative of v**5/390 + v**4/78 + v**3/39 - 10*v**2 + 1. Determine o, given that g(o) = 0.
-1
Let b = -1/1356 - -5429/6780. Factor -2/5*q**4 - 8/5*q + 6/5*q**2 - 8/5 + b*q**3.
-2*(q - 2)**2*(q + 1)**2/5
Let g(x) be the first derivative of x**8/3080 + x**7/770 - 2*x**3 + 15. Let b(y) be the third derivative of g(y). Suppose b(d) = 0. Calculate d.
-2, 0
Let i be (44/12)/((3/306)/1). Factor -2 + 372*k - 1 - i*k + k**2.
(k - 3)*(k + 1)
Let p(r) be the first derivative of 23 + 0*r + 2/3*r**3 + r**2. Determine s, given that p(s) = 0.
-1, 0
Let b(s) be the first derivative of s**3/15 - 18*s**2/5 - 37*s/5 - 32. Determine h so that b(h) = 0.
-1, 37
Suppose n = -4*g + 16, 4*n = -n + 2*g - 8. Let r = -876 + 878. Find j such that n*j - 4/3*j**r + 2/3 + 0*j**3 + 2/3*j**4 = 0.
-1, 1
Determine p, given that 282/7*p**2 + 24/7*p**4 + 114/7*p + 2 + 206/7*p**3 = 0.
-7, -1, -1/3, -1/4
Let w be 3*1 + 1*17/(170/186). Determine y so that 3/5*y**2 + 36/5*y + w = 0.
-6
Let s be (-6)/2 - (-122 - 0). Suppose 4*d - s = -23. Factor -4*z**2 + 12*z - 3*z**3 + 6*z**2 + 4*z**2 - d.
-3*(z - 2)**2*(z + 2)
Let h be 174/319 + (-32)/(-22). Let y(i) be the third derivative of 0*i**5 - 1/90*i**6 + 0*i + 0 - 1/9*i**3 - 5*i**h + 1/18*i**4 + 1/315*i**7. Factor y(n).
2*(n - 1)**3*(n + 1)/3
Let r(c) = -c**2 + c - 1. Let a(f) = 9*f**2 - 19*f + 13. Let h(j) = -j**2 - j. Let o(t) = a(t) - 4*h(t). Let b(q) = -2*o(q) - 22*r(q). Let b(k) = 0. What is k?
1
Let z = -16218 - -16220. Find t such that -t**3 - 1/2*t - 5/2*t**z + 1 = 0.
-2, -1, 1/2
Let t(c) = c**3 + 4*c**2 - 3*c - 3. Let z(h) = h**3 + 5*h**2 - 4*h - 4. Let l be 1 + 2 + (13 - 19). Let s(p) = l*z(p) + 4*t(p). Factor s(k).
k**2*(k + 1)
Let i(q) = 15*q**3 + 10*q**2 + 5*q - 10. Let u(s) be the first derivative of s**4/4 + s**3/3 - s + 13. Let l(d) = i(d) - 20*u(d). Factor l(p).
-5*(p - 1)*(p + 1)*(p + 2)
Let a(d) be the third derivative of 49*d**8/192 - 413*d**7/60 + 399*d**6/40 - 169*d**5/30 + 4*d**4/3 + 145*d**2. What is u in a(u) = 0?
0, 2/7, 16
Suppose 4*x + 3 = 11. Suppose x*h - 2 = -5*l + 10*l, -4*h = -2*l - 4. Determine q, given that -8*q**2 - 39 + 2*q - 4*q**3 + 2*q + l*q + 47 = 0.
-2, -1, 1
Let w(y) be the second derivative of 5*y**7/42 - 5*y**6/6 + y**5/4 + 35*y**4/4 - 15*y**3 - 13*y - 1. Factor w(q).
5*q*(q - 3)**2*(q - 1)*(q + 2)
Suppose -6*m + m = x - 25, 0 = -5*x + 5*m + 5. Factor -x*b**2 - 4 - 2 - 15*b - 4.
-5*(b + 1)*(b + 2)
Suppose 4*w = 2*x - 24, 0*w + 25 = 5*x - 3*w. Let h = -2847 - -2849. Factor 21/2*g**h + 12*g - 49/2*g**3 + x.
-(g - 1)*(7*g + 2)**2/2
Let f = 125 + -96. Let n = f + -27. Factor -11/3*i**n + 4*i + 2/3*i**3 + 3.
(i - 3)**2*(2*i + 1)/3
Let d = 1122 - 1112. Let i(b) be the first derivative of -1/12*b**4 + 1/15*b**5 - 1/54*b**6 - d + 0*b**2 + 0*b + 1/27*b**3. Factor i(j).
-j**2*(j - 1)**3/9
Let o(a) = 107*a**3 - 1018*a**2 + 568*a - 80. Let m(u) = -53*u**3 + 510*u**2 - 284*u + 40. Let h(n) = -9*m(n) - 4*o(n). Factor h(f).
(f - 10)*(7*f - 2)**2
Let o(t) = -t**3 + 9*t**2 - 2*t + 8. Let i be o(7). Let v = i + -90. Factor -3/5*u**v + 0 - 3/5*u**3 + 0*u.
-3*u**2*(u + 1)/5
Factor -9/2 + 1/4*f**2 - 7/4*f.
(f - 9)*(f + 2)/4
Let k be 6 - 0*(-3)/15. Let m be k/9*(-18)/(-8). Factor -3*i**3 - 3/2*i**4 - m + 3*i**2 + 3/2*i + 3/2*i**5.
3*(i - 1)**3*(i + 1)**2/2
Let a(m) = -12*m**2 + 16*m - 8. Let s(g) = 64*g**2 - 80*g + 38. Let x(o) = 11*a(o) + 2*s(o). Solve x(r) = 0 for r.
1, 3
Suppose 7 = -2*b - 7. Let m = b + 12. Find z, given that 56 + 61 - 21 + m*z**2 - 16 + 40*z = 0.
-4
Factor -9*l**3 + 7*l - 27*l**4 - l - 8*l - l**5 - 7*l**2 + 22*l**4.
-l*(l + 1)**3*(l + 2)
Let s(r) be the second derivative of r**6/75 - 17*r**5/50 + 91*r**4/30 - 49*r**3/5 + 152*r. Factor s(o).
2*o*(o - 7)**2*(o - 3)/5
Suppose 5*o - 9*o + 284 = 0. Suppose 5*m = -o + 96. Find i such that 2/3*i**2 + 0 + 38/3*i**4 + 10*i**3 - 4/3*i + 14/3*i**m = 0.
-1, 0, 2/7
Let a = -102647/3 + 34216. Solve -a*d**4 + 0 + d**3 - 4/3*d + 0*d**2 = 0 for d.
-1, 0, 2
Solve 13/8*g - 3/4 - 3/8*g**4 - 5/8*g**3 + 17/8*g**2 = 0 for g.
-3, -1, 1/3, 2
Let f(q) be the first derivative of -q**5/15 - q**4/6 - q**3/6 + 27*q**2/2 - 35. Let l(s) be the second derivative of f(s). Determine v, given that l(v) = 0.
-1/2
Factor 7/2*z + 1/2*z**3 - 4*z**2 + 0.
z*(z - 7)*(z - 1)/2
Let t(g) = -g**2 - 12*g + 30. Let v be t(-14). Let l(p) be the second derivative of 0*p**3 + 0 + v*p**2 + 1/20*p**5 + 5*p - 1/4*p**4. Solve l(h) = 0 for h.
-1, 2
Factor -w**2 + 6*w + 4*w - 941 + 925.
-(w - 8)*(w - 2)
Factor 16/9 - 14/9*i - 2/9*i**2.
-2*(i - 1)*(i + 8)/9
Suppose -4*r = -5*a + 8, -4*a + 8 = 3*r - 17. Determine l, given that 0 - 3/2*l - l**2 + 1/2*l**r = 0.
-1, 0, 3
Let h = -49 - -42. Let t be 2/(-8) + 3/((-36)/h). Factor 2/3*d + 1/3*d**5 + 1/3*d**2 + 0 - d**3 - t*d**4.
d*(d - 2)*(d - 1)*(d + 1)**2/3
Let m(b) be the first derivative of -3 - 2/3*b**3 + b**2 + 1/6*b**4 + 4*b. Let z(a) be the first derivative of m(a). Factor z(n).
2*(n - 1)**2
Let j(i) = i**4 + 60 - 60 - i**3 - i**2 + i. Let x(r) = 8*r**4 - 16*r**3 + 16*r - 8. Let s(b) = -4*j(b) + x(b). Factor s(y).
4*(y - 2)*(y - 1)**2*(y + 1)
Let -180*k - 47*k**2 + 126*k**3 - 4*k**2 - 84 + 82*k**2 + 92*k**2 + 0*k**4 + 15*k**4 = 0. Calculate k.
-7, -2, -2/5, 1
Let i(x) be the first derivative of 0*x**2 + 0*x**3 + 0*x + 8 + 1/2*x**4 + 2/5*x**5. Solve i(t) = 0.
-1, 0
Let v(g) be the second derivative of 3*g - 1/24*g**4 - 1/60*g**5 - 1/360*g**6 + 1/3*g**3 + 0 + 0*g**2. Let o(i) be the second derivative of v(i). Factor o(l).
-(l + 1)**2
Let l = 473/2142 - 1/153. Let y(d) be the second derivative of -11/42*d**4 + 3/35*d**6 + 0 - 2/7*d**2 + l*d**5 - 11/21*d**3 + 4*d. What is k in y(k) = 0?
-2, -1/3, 1
Let n(w) be the first derivative of -w**6/120 + w**5/20 - w**4/8 + w**3/6 - w**2 + 16. Let h(s) be the second derivative of n(s). Solve h(g) = 0.
1
Let q(v) = 3*v**4 - 6*v**3 + 2*v**2 + 8*v - 3. Let y(x) = -25*x**4 + 49*x**3 - 16*x**2 - 66*x + 24. Let k(z) = -51*q(z) - 6*y(z). Factor k(c).
-3*(c - 3)*(c - 1)**2*(c + 1)
Let j be (1 + 1)*(-15)/(-10). Suppose j*b - 13 = -7. Factor -b*q**3 + 13*q**2 - 11*q**2 + 0*q**3.
-2*q**2*(q - 1)
Let w(i) be the second derivative of -i**4/36 + 4*i**3 - 216*i**2 + 29*i. Solve w(p) = 0 for p.
36
Let g(t) be the second derivative of -t**4/36 - t**3/2 - 10*t**2/3 - 3*t + 29. Factor g(n).
-(n + 4)*(n + 5)/3
Let p(x) be the first derivative of 7*x**3 - 69*x**2/2 + 18*x - 35. Solve p(q) = 0 for q.
2/7, 3
Let z = -8004/5 - -1602. Determine x so that 6/5*x**2 - 12/5 - z*x = 0.
-1, 2
Let a be (1*6)/(8/80). Suppose -a = -5*q - 20. Find d such that 139*d**4 + q*d**4 - 104*d**3 - 64*d**3 + 48*d**2 = 0.
0, 4/7
Let a be 7 - (-3 + 4 - 2)*-4. What is o in -16*o - 15*o + a*o**2 - 6 + 28*o = 0?
-1, 2
Let j(z) be the first derivative of 5 + 9*z**5 + 5*z + 15*z**4 - 10*z**2 - 10/3*z**3. Determine t, given that j(t) = 0.
-1, 1/3
Suppose 50 = -47*b + 52*b. Factor -7*k + 0*k + 29*k**2 - b*k**2 - 12 - 20*k**2.
-(k + 3)*(k + 4)
Let q be ((-6)/8)/((-11)/44). Factor -2*p**4 + 3*p**3 + 7*p**4 + p**4 + q*p**5.
3*p**3*(p + 1)**2
Suppose 2*y = -2*g + 16, -g - 14*y + 11*y + 20 = 0. Factor 2/19*d**g - 12/19*d + 16/19.
2*(d - 4)*(d - 2)/19
Let k = -25051/2 + 12529. Find a such that k*a**2 - 1/2*a**3 + 9/2 - 15/2*a = 0.
1, 3
Factor t - 1/3*t**4 + 2/3 - 1/3*t**2 - t**3.
-(t - 1)*(t + 1)**2*(t + 2)/3
Suppose -10*d + 36 = -d. Suppose 0 = -2*c + d*o - 8, 4*c + 4*o + o = 10. Factor h**3 - 1/2*h + 0 - 1/2*h**5 + 0*h**4 + c*h**2.
-h*(h - 1)**2*(h + 1)**2/2
Let l(n) be the first derivative of -n**7/3780 + n**6/540 - n**4/27 - 10*n**3/3 - 15. Let d(t) be the third derivative of l(t). Let d(i) = 0. What is i?
-1, 2
Find q such that -15/2*q - 5/2*q**2 + 5/2*q**4 + 0 + 15/2*q**3 = 0.
-3, -1, 0, 1
Factor -28/5 - 1/5*w**2 + 16/5*w.
-(w - 14)*(w - 2)/5
Let v(u) = -u**2 + 6*u - 12. Let o(s) = 2*s**2 - 12*s + 25. Let p(y) = -4*o(y) - 9*v(y). Factor p(h).
(h - 4)*(h - 2)
Let t = -521/10626 - -8/483. Let c = 365/616 - t. Let -c*s**2 + 3/8 + 1/4*s = 0. What is s?
-3/5, 1
Let k = 2861 + -2857. Let q = 2 + 1. Solve q*x**3 + 3/2*x**k - 9/2*x**2 + 6 - 6*x = 0 for