2)**2*(o - 1)*(o + 2)
Factor -3*v**4 - 23*v**3 + 15*v**3 + 14*v**3.
-3*v**3*(v - 2)
Let x(g) be the second derivative of 0*g**3 - 9/4*g**5 + 19*g + 1/6*g**6 + 55/6*g**4 - 80*g**2 + 0. Solve x(r) = 0.
-1, 2, 4
Let w be -7*(4 + 99/(-21)). Factor 2*a + 5*a - w*a**2 - 3*a + 3*a**2 - 2.
-2*(a - 1)**2
Suppose -5*u + 13 = -n, 11*u - 2*n = 9*u + 10. Let i = -8 - -17/2. Factor 0 - i*b + b**u.
b*(2*b - 1)/2
Let u be -7*(-3)/((-420)/(-8)). Factor 0 - u*h**2 + 2/5*h**4 - 4/5*h + 4/5*h**3.
2*h*(h - 1)*(h + 1)*(h + 2)/5
Let h = -138 + 140. Let v be (-38)/(-84) + (h - (-117)/(-54)). Solve 0 + v*d**3 + 2/7*d**4 + 0*d**2 + 0*d = 0 for d.
-1, 0
Let c(o) be the first derivative of -22 + 3*o**2 + 1/4*o**4 - 5/3*o**3 + 0*o. Factor c(x).
x*(x - 3)*(x - 2)
Suppose 0 = -4*t + 2*n + 32, -4*n + 61 = 4*t + 17. Let y = 10 - t. Let 3*o**2 + 1 + y - 1 + o**3 + 3*o = 0. What is o?
-1
Let p(j) = 8*j - 4. Let t be p(3). Suppose -t = -4*h - 8. Suppose -4/5*s + 0 + 2*s**2 + 2/5*s**4 - 8/5*s**h = 0. Calculate s.
0, 1, 2
Let t(k) = k**3 + 5*k**2 - k - 5. Let c be t(-5). Let h = 354 - 352. Suppose c + 1/4*i**4 - 1/2*i**3 + 1/2*i - 1/4*i**h = 0. What is i?
-1, 0, 1, 2
Suppose 7*g - 6 = -6. Let c(l) be the second derivative of 0*l**4 + g + 0*l**2 - 1/40*l**5 + 0*l**3 + 11*l - 1/120*l**6. Factor c(n).
-n**3*(n + 2)/4
Let b(l) be the third derivative of -l**8/84 - 8*l**7/21 - 19*l**6/30 - 376*l**2. Suppose b(k) = 0. Calculate k.
-19, -1, 0
Let w(h) = 2*h**2 + 403*h + 875. Let s(k) = k**2 + 134*k + 292. Let z(x) = 11*s(x) - 4*w(x). Solve z(g) = 0.
-2, 48
Let u be (6/(-5))/((-18)/60). Let x(f) = -f**2 + 7*f - 5. Let n be x(u). Suppose 8 - 4*r**2 + 7*r**2 - 4 - n = 0. Calculate r.
-1, 1
Suppose v - 1 - 2 = 0. Let q be (-6)/(-3)*(-21)/(-14). Factor -51*r**v - 15*r**4 - 15*r + 0*r - 48*r**2 + q*r.
-3*r*(r + 1)*(r + 2)*(5*r + 2)
Factor 53*c + 57*c**3 - 26*c**3 + 16*c**2 - 35*c**3 + 75*c.
-4*c*(c - 8)*(c + 4)
Suppose -1353 = -5*m - 273. Let d = m - 1074/5. Factor 3/5*y**2 - d*y + 3/5.
3*(y - 1)**2/5
Solve -d - 28 + 10/7*d**2 + 1/7*d**3 = 0 for d.
-7, 4
Let l = 1/23939 + 23935/95756. Factor -1/2*r + 1/4 + l*r**2.
(r - 1)**2/4
Suppose 0 = -5*v + 3*v + 8. Suppose -v*d + 16 - 4 = 0. Find n, given that -6*n**3 + 5*n**2 + d + 4*n**2 - 18*n**2 = 0.
-1, 1/2
Let s(i) be the first derivative of -5*i**4/4 - 5*i**3 + 20*i - 41. Find p, given that s(p) = 0.
-2, 1
Suppose -3*r = -2*f - 3050, 4*f - 3*r - 3038 = 6*f. Let s = f + 7637/5. Solve 3/5*t**2 + s + 18/5*t = 0.
-3
Let q(t) = -321*t - 3208. Let j be q(-10). Factor 2/3*a + 2/3*a**3 - 4/3*a**j + 0.
2*a*(a - 1)**2/3
Suppose 2*f + 7*f + 4716 = 0. Let y = f + 2634/5. Factor 4/5*h**2 - y*h**3 - 16/5 + 56/5*h.
-2*(h - 2)*(h + 2)*(7*h - 2)/5
Suppose -758 + 170 = -14*s. Let b be (91/s + -2)*15. Factor 35/4*x - 5/2 + b*x**2 - 35/4*x**3.
-5*(x - 1)*(x + 1)*(7*x - 2)/4
Factor -6/7*t**2 + 24/7 - 18/7*t.
-6*(t - 1)*(t + 4)/7
Determine m, given that -2/15*m**3 + 0 + 8/15*m + 0*m**2 = 0.
-2, 0, 2
Suppose -9*s + 5*s = 5*s. Let b(f) be the second derivative of -5*f - 1/2*f**4 + s*f**3 + 0*f**2 + 3/4*f**5 + 0. What is a in b(a) = 0?
0, 2/5
Factor 5*m**2 - 5*m**3 + 40*m**2 - 320 - 172*m - 12*m**2 + 42*m**2 - 68*m.
-5*(m - 8)**2*(m + 1)
Let p(u) be the second derivative of u**8/112 - u**6/40 + 2*u**2 + 5*u. Let x(t) be the first derivative of p(t). Suppose x(s) = 0. Calculate s.
-1, 0, 1
Let h(i) be the first derivative of -i**5/360 + i**4/36 - i**3/12 - 3*i**2/2 - 1. Let l(c) be the second derivative of h(c). What is p in l(p) = 0?
1, 3
Let u(t) be the second derivative of -1/20*t**6 + 0 + 13*t - 3*t**3 - 9/20*t**5 - 13/8*t**4 - 3*t**2. Let u(c) = 0. Calculate c.
-2, -1
Factor -4/3*l**2 + 1/3*l**4 + 8/3*l + 0 - 2/3*l**3.
l*(l - 2)**2*(l + 2)/3
Let l(d) = d**3 - 4*d + 7. Let m be l(2). Suppose 1 = -3*h + m. What is c in 1/4*c**3 - 3/4*c**h - 1/4 + 3/4*c = 0?
1
Let n(o) be the second derivative of -o**6/60 - o**5/20 + 13*o**4/24 + 19*o**3/6 + 6*o**2 + 10*o - 16. Let n(q) = 0. What is q?
-3, -2, -1, 4
Factor 5*v**2 - 20/3 + 0*v + 5/3*v**3.
5*(v - 1)*(v + 2)**2/3
Suppose -228 - 51*n - 21*n**2 + 29*n**2 - 4*n**2 + 218*n + 57*n = 0. Calculate n.
-57, 1
Let k(s) = s**3 - 159*s**2 - 652*s. Let n be k(163). Factor -6*v**2 - 14/5*v**3 - 18/5*v - 2/5*v**4 + n.
-2*v*(v + 1)*(v + 3)**2/5
Let p(g) = -26*g**4 - 186*g**3 - 250*g**2 + 4*g + 26. Let d(f) = 62*f**3 + 9*f**4 + 83*f**2 - 9 + 0 - f + 0. Let s(q) = 10*d(q) + 3*p(q). What is k in s(k) = 0?
-3, -2, -1/2, 1/3
Let u(j) be the first derivative of j**4/38 - 74*j**3/57 + 71*j**2/19 - 70*j/19 + 89. Determine i, given that u(i) = 0.
1, 35
Let w(v) = -5*v**2 - 65*v. Suppose -4*m - 2*m + 150 = 0. Let a(z) = z**2 + 16*z. Let h(d) = m*a(d) + 6*w(d). Factor h(s).
-5*s*(s - 2)
Let n(c) be the second derivative of -2*c**7/21 - 28*c**6/15 - 61*c**5/5 - 28*c**4 - 24*c**3 + 71*c. Factor n(v).
-4*v*(v + 1)**2*(v + 6)**2
Factor -2*q**2 + 7*q**4 + 3*q**2 + 2*q - 16*q**3 + 2*q**4 + 4*q**2.
q*(q - 1)**2*(9*q + 2)
Let y be (-35)/10*(3 + (-384)/126). Let l(h) be the third derivative of 0 - 1/15*h**5 + 0*h**3 - y*h**4 + 4*h**2 + 0*h. Factor l(s).
-4*s*(s + 1)
Let h be (-2)/(-9) - 798/(-54). Let w = h + -59/4. Determine f so that -1/4*f**3 + 1/4*f - w + 1/4*f**2 = 0.
-1, 1
Let h = 7471/38 - 3726/19. Suppose h*r**3 + 0 + 1/2*r - 1/3*r**4 + 4/3*r**2 = 0. What is r?
-1, -1/2, 0, 3
Let l(j) = j**2 + 9*j + 6. Let w be l(-10). Suppose 0 = -2*p + 2 + w. Let 5*m**3 + 3 + 6*m**4 - p*m**4 + m**3 - 6*m = 0. What is m?
-1, 1
Let d be 14/(-42)*39 + 16. Factor 0 - 30*v**d - 14*v**4 - 32/7*v - 144/7*v**2.
-2*v*(v + 1)*(7*v + 4)**2/7
Let b be 5/(-20)*(-24)/20. Let y(k) be the second derivative of b*k**5 + 0 + 4/3*k**4 + 7/3*k**3 + 2*k**2 + 5*k. Factor y(p).
2*(p + 1)**2*(3*p + 2)
Let d(j) be the third derivative of j**5/120 + 5*j**4/48 - 3*j**2 - 60. Solve d(s) = 0.
-5, 0
Determine c, given that -44/5*c + 0 + 2/5*c**2 = 0.
0, 22
Let y(k) be the first derivative of -2/3*k**3 + 18 + k**2 + 0*k. Suppose y(t) = 0. Calculate t.
0, 1
Determine y, given that -10/23*y**3 + 12/23*y**2 + 6/23*y - 8/23 = 0.
-4/5, 1
Let u(t) be the second derivative of -13/150*t**6 + 0 + 1/15*t**3 + 0*t**2 + 1/60*t**4 - 1/42*t**7 - 9/100*t**5 + 24*t. Let u(y) = 0. What is y?
-1, 0, 2/5
Let t be (-10)/6 + 1 + 1. Let s = 88/177 - -1/354. What is l in -1/3 + t*l**3 + s*l**2 - 1/2*l = 0?
-2, -1/2, 1
Factor -5*x**2 - 4*x**2 + 12*x**3 - 4*x**4 + 5*x**2 + 4*x - 7*x**2 - x**2.
-4*x*(x - 1)**3
Let d = -29 - -35. Solve -10*z + 35 + 9*z**2 + 34*z - d - 17 = 0.
-2, -2/3
Let c(q) be the first derivative of q**7/420 - 2*q**3 + 20. Let j(f) be the third derivative of c(f). Factor j(h).
2*h**3
Let p(b) be the second derivative of b + b**3 + 3/20*b**5 + 0 - 3/4*b**4 + 0*b**2. Factor p(r).
3*r*(r - 2)*(r - 1)
Let s(u) = -u**2 - 11*u - 22. Let c = 30 + -38. Let w be s(c). Let 0 + 2/9*g + 0*g**w - 2/9*g**3 = 0. What is g?
-1, 0, 1
Let r(t) be the first derivative of -2*t**3/45 - 172*t**2/15 - 14792*t/15 - 277. Solve r(w) = 0 for w.
-86
Determine u so that -1014/5 + 2/5*u**3 - 58/5*u**2 + 494/5*u = 0.
3, 13
Find i, given that 9*i**3 + 12*i**4 + 3*i**5 - 15192 + 15192 = 0.
-3, -1, 0
Suppose 2*r = 4*u - 8, -5*r = 3*u - 7 - 12. Suppose 2*g - u*b + 0*b - 10 = 0, 12 = 5*g - b. Factor -2 - 1/2*f**2 + g*f.
-(f - 2)**2/2
Let m(r) = 4*r - 30. Let p be m(8). Factor -5*t - 2 - 22*t**2 - 18*t**2 - t**3 + 36*t**p.
-(t + 1)**2*(t + 2)
Factor -2/5*w**3 + 0 + 18/5*w - 18/5*w**2 + 2/5*w**4.
2*w*(w - 3)*(w - 1)*(w + 3)/5
Let t be (-716)/(-42) + -7 + (-408)/(-56). Let n = t - 16. Factor -n - 4*m**2 - 16/3*m.
-4*(m + 1)*(3*m + 1)/3
Let f(o) be the third derivative of -o**8/23520 - o**7/4410 - o**6/2520 + 7*o**4/24 + 16*o**2. Let x(s) be the second derivative of f(s). Factor x(v).
-2*v*(v + 1)**2/7
Let m(u) be the third derivative of -u**7/70 + u**6/8 + u**5/20 - 5*u**4/8 + 94*u**2 - 2*u. Factor m(r).
-3*r*(r - 5)*(r - 1)*(r + 1)
Suppose 5/2*n**4 + 6*n - 2 - 1/2*n**2 - 6*n**3 = 0. Calculate n.
-1, 2/5, 1, 2
Factor -1/6*a**2 + 11/3 + 7/2*a.
-(a - 22)*(a + 1)/6
Let b(v) be the second derivative of -v**7/14 + 2*v**6/5 - 9*v**5/20 - v**4 + 2*v**3 - 686*v. Suppose b(u) = 0. Calculate u.
-1, 0, 1, 2
Factor -33/5*i - i**2 - 27/5 + 1/5*i**3.
(i - 9)*(i + 1)*(i + 3)/5
Let s = -5 + -3. Let q(k) = k**4 - 1. Let c(r) = 6*r**4 - 6*r**3 + 2*r**2 +