0. Calculate o.
2/3, 4
Factor 1148/3*i - 1681/9 - 1/9*i**4 + 28/3*i**3 - 1846/9*i**2.
-(i - 41)**2*(i - 1)**2/9
What is n in 38/9*n**3 + 28/9*n**4 + 0 - 44/3*n**2 - 16*n + 2/9*n**5 = 0?
-12, -3, -1, 0, 2
Let f(b) = b**3 - 20*b**2 - 171*b + 130. Let h be f(-7). Suppose -9/2*t**h - 11/2*t**2 + 0*t + 1/2*t**5 + 0 - 21/2*t**3 = 0. Calculate t.
-1, 0, 11
Let r(k) = 2*k**3 + 2*k**2 + 3*k + 10. Let f be r(0). Let o be (f/15)/(-2 + 42/18). Let 2/5*b - 1/5 + 3/5*b**o = 0. Calculate b.
-1, 1/3
Let v be 720/(-112)*(-497)/568. Factor 3/8*k**2 + 21/4 - v*k.
3*(k - 14)*(k - 1)/8
Find k such that -13/7*k**4 + 3/7*k**5 + 0 + 8/7*k**3 + 12/7*k**2 + 0*k = 0.
-2/3, 0, 2, 3
Let s(g) be the third derivative of -g**9/15120 + g**8/840 - g**7/252 - g**5/60 + g**3/6 - 4*g**2 + 2*g. Let f(h) be the third derivative of s(h). Factor f(m).
-4*m*(m - 5)*(m - 1)
Let h = -6/757 + 1061/229371. Let l = 873/707 - h. Suppose -10/21*f**2 - 4/7 + l*f = 0. Calculate f.
3/5, 2
Let k(a) be the second derivative of -a**5/5 + 35*a**4/3 + 236*a**3/3 - 304*a**2 + 22*a - 12. Find q such that k(q) = 0.
-4, 1, 38
Let o(l) = l**3 + 7*l**2 + 6*l + 4. Let g be o(-6). Suppose 646*a = 643*a + 9. Factor -g*k**3 + 0*k**3 - 4*k**a + 0*k**3 - 4*k**4.
-4*k**3*(k + 2)
Let v = -3967326/5 - -793482. Solve -3/5*p**5 - 24/5*p**4 - 12 - 6*p**3 + 33/5*p + v*p**2 = 0 for p.
-5, -4, -1, 1
Let g(d) be the third derivative of -d**6/64 - 19*d**5/80 - 19*d**4/64 + 7*d**3/8 + 7*d**2 - 6*d - 2. Factor g(n).
-3*(n + 1)*(n + 7)*(5*n - 2)/8
Let w(n) be the first derivative of 4*n**3/3 - 272*n**2 - 548*n + 1637. Determine j, given that w(j) = 0.
-1, 137
Let v(l) = 8. Let t(i) = i**2 + 9. Suppose -26*p + 2*p - 120 = 0. Let h(g) = p*v(g) + 4*t(g). Determine z so that h(z) = 0.
-1, 1
Let i(k) = 22*k**2 + 238*k - 752. Let d(y) = -4*y**2 - 48*y + 150. Let x(c) = -16*d(c) - 3*i(c). Factor x(l).
-2*(l - 24)*(l - 3)
Let s be ((-67)/((-21105)/(-84)))/(7/(-455)). Factor 2/3*g**2 + s*g - 18.
2*(g - 1)*(g + 27)/3
Let r(q) be the second derivative of q**6/480 - q**5/20 - 13*q**4/96 + 22*q**2 - 91*q. Let j(i) be the first derivative of r(i). Let j(o) = 0. What is o?
-1, 0, 13
Let u(y) be the first derivative of y**6/6 - 497*y**5/5 + 41333*y**4/2 - 1551990*y**3 + 9065925*y**2/2 - 4492125*y - 888. Determine x, given that u(x) = 0.
1, 165
Let l(v) = 0 + 38*v + 4 + 2*v**2 + 2 - 27*v. Let p(f) = 22*f**2 + 122*f + 68. Let o(x) = -68*l(x) + 6*p(x). Suppose o(b) = 0. What is b?
-4, 0
Let u = 39 - 60. Let t = -9 - u. Factor 7*m + 29*m - 8*m + t + 20*m**2 + 4*m**3.
4*(m + 1)**2*(m + 3)
Suppose 21504*z = 21557*z - 106. Factor 0*i + 1/3*i**z - 4/3.
(i - 2)*(i + 2)/3
Let b(n) be the third derivative of 1/126*n**7 - 5/36*n**5 + 0*n**4 + 0 + 0*n**6 + 10/9*n**3 - 70*n**2 + 0*n. Solve b(q) = 0 for q.
-2, -1, 1, 2
Suppose -7*r + 172 = 137. Suppose 0 = -2*d + 4*i + 20, i + 6 = 6*d - r*d. Factor -3/4*a**3 - 3*a**d - 9/4*a + 0.
-3*a*(a + 1)*(a + 3)/4
Let j = -990790/3 - -330265. Factor -133/3*r - j*r**2 + 18.
-(r + 27)*(5*r - 2)/3
Suppose 2*k - 57 = -17*k. Let q be (0 + (-12)/k)/(-14 + -4). Solve 2/3*p**2 - 4/9*p + 0 - q*p**3 = 0 for p.
0, 1, 2
Let z(v) be the first derivative of 1/50*v**5 - 5 - 25*v - 1/30*v**4 + 1/5*v**2 - 1/15*v**3. Let x(g) be the first derivative of z(g). Factor x(c).
2*(c - 1)**2*(c + 1)/5
Suppose -d = -2, y + 8*d + 6 = 10*d. Let h be 15/(-3 + y)*4/(-6). Find p, given that -4/5*p**3 + 2/5*p**h - 1/5*p**5 + p - 4/5*p**4 + 2/5 = 0.
-2, -1, 1
Let o(q) be the third derivative of 0*q + 0 - 89*q**2 - 22/105*q**7 + 19/30*q**6 - 2/3*q**3 - 16/15*q**5 + 13/12*q**4 + 5/168*q**8. Let o(l) = 0. Calculate l.
2/5, 1
Find z, given that -5/3*z**4 - 190/3*z**2 + 2/3*z**5 - 95/3*z**3 + 0 - 24*z = 0.
-4, -2, -1/2, 0, 9
Suppose f - 5*f + 1825114 = 5*v, -3*v = 4*f - 1095070. Factor -12 + v*g + 2*g**2 - 365036*g - 4*g**2.
-2*(g + 1)*(g + 6)
Let s be ((-11)/(-4))/((-3)/(-6)) + 76 + -80. Let -3*z + 0 - s*z**2 - 3/2*z**5 + 3/2*z**4 + 9/2*z**3 = 0. What is z?
-1, 0, 1, 2
Let z(r) be the first derivative of r**5 - 15*r**4/4 - 80*r**3/3 - 30*r**2 - 211. Factor z(y).
5*y*(y - 6)*(y + 1)*(y + 2)
Let k(t) = 2*t**4 - 157*t**3 + 155*t**2 + 5*t - 5. Let w(d) = d**4 - 78*d**3 + 77*d**2 + 2*d - 2. Let b(a) = -4*k(a) + 10*w(a). Factor b(f).
2*f**2*(f - 75)*(f - 1)
Let u(w) = -w**2 + 22*w + 52. Let j be u(24). Factor 2 + 4 - 6 - 27*z**4 - 14*z**3 + z**5 + 40*z**j.
z**3*(z - 1)*(z + 14)
Suppose -1 = -3*u + 3*h - 4, 4*u = h + 5. Solve -15*f**2 - 11 + 12*f + f**2 + 10*f**2 + 3*f**u = 0 for f.
1, 11
Let r = -812 - -814. Let j be (-12)/(-4) - (r + 6/18). Factor x - j - 1/3*x**2.
-(x - 2)*(x - 1)/3
Let y(v) be the first derivative of v**4/3 - 125*v**3/9 - 38*v**2 - 33*v + 662. Suppose y(s) = 0. Calculate s.
-1, -3/4, 33
Let i = 4343 - 4335. Let a(q) be the first derivative of 6 + i*q + 4/3*q**3 - 6*q**2. Let a(g) = 0. What is g?
1, 2
Let r(c) be the third derivative of -c**8/120960 + 11*c**7/30240 - c**6/432 - 11*c**5/3 - 7*c**2. Let s(a) be the third derivative of r(a). Factor s(j).
-(j - 10)*(j - 1)/6
Suppose 8*t + 56 = 88. Let r(s) = 2*s**2 - 2*s + 2. Let f(l) = 7*l**2 - 12*l + 13. Let j(a) = t*r(a) - f(a). Factor j(k).
(k - 1)*(k + 5)
Let b(i) = i**4 - i**3 - i**2 + i - 2. Let a(n) = n**4 + 24*n**3 + 26*n**2 - 24*n - 31. Let u(q) = 2*a(q) - 4*b(q). Find h such that u(h) = 0.
-1, 1, 27
Factor -28/13 + 28/13*u**2 - 2/13*u + 2/13*u**3.
2*(u - 1)*(u + 1)*(u + 14)/13
Let 3*i**3 - 185137*i + 185130*i + i**4 + 6 - i**2 - 2*i**2 = 0. What is i?
-3, -2, 1
Let c(k) be the second derivative of k**4/4 - 249*k**3 + 186003*k**2/2 + 1465*k. What is s in c(s) = 0?
249
Let h = 40/57 - 2/57. Let d = 20951 - 20949. Let 1/3*f**d + h - f = 0. What is f?
1, 2
Factor -3/2*o**4 + 18*o + 9*o**3 - 39/2*o**2 - 6.
-3*(o - 2)**2*(o - 1)**2/2
Let u(y) = y**2 + 18*y - 189. Let d be u(-26). Factor 60*r**3 + 57*r - 21*r**3 + 24 + 8*r + 90*r**2 + d*r + 6*r**4.
3*(r + 2)**3*(2*r + 1)
Let j be -2 + 1 - (-6)/((-54)/(-63)). Let d(q) be the third derivative of 1/5*q**5 + 1/6*q**4 + 0*q**3 + 2/105*q**7 + 0*q + q**2 + 0 + 1/10*q**j. Factor d(c).
4*c*(c + 1)**3
Let f(c) be the third derivative of c**6/12 + 247*c**5/30 - 38*c**4/3 - 100*c**3/3 + 296*c**2. Determine w so that f(w) = 0.
-50, -2/5, 1
Suppose -285*n = -86 + 55 + 31. Let v(a) = -a**2 + a + 4. Let b be v(0). Factor 8/5*d**2 - 4/5*d**3 + 16/5*d - 2/5*d**b + n.
-2*d*(d - 2)*(d + 2)**2/5
Let a(b) be the second derivative of -b**6/30 + 3*b**5/20 + 3*b**4/4 + 5*b**3/6 - 214*b. Solve a(t) = 0.
-1, 0, 5
Factor 1019 + 1338 - 2*s**2 - 2657 + 70*s.
-2*(s - 30)*(s - 5)
Let v be (2 + (-15)/4)/(1813/(-2072)). Determine l, given that -8/9 - 116/9*l**v - 124/9*l = 0.
-1, -2/29
Let f = -127 + 72. Let w = -45 - f. Solve -2*z**3 + 2 - w + 8*z**2 + 4*z - 2*z**3 = 0.
-1, 1, 2
Let u(x) = -19*x**3 - 2548*x**2 - 127088*x + 549559. Let y(d) = -13*d**3 - 1700*d**2 - 84724*d + 366373. Let g(n) = -5*u(n) + 7*y(n). Let g(f) = 0. Calculate f.
-107, 4
Let g = 997/10 + -8953/90. Factor g*d**2 - 10/9 + 8/9*d.
2*(d - 1)*(d + 5)/9
Let t = 1183836 + -15389854/13. Factor -t*m + 4/13 - 8/13*m**2.
-2*(m + 2)*(4*m - 1)/13
Let n(m) be the second derivative of -m**6/165 + 7*m**5/110 + m**4 - 32*m**3/3 - 896*m**2/11 + 7*m + 113. Solve n(t) = 0.
-7, -2, 8
Let j(o) = 4. Let r(q) = 5*q**2 + 4210*q + 886185. Let b(m) = -5*j(m) - r(m). Determine d, given that b(d) = 0.
-421
Let a be (-13)/1430*-779 + -7. Let c(i) be the second derivative of -2/33*i**3 - 7/66*i**4 - 1/231*i**7 - 1/33*i**6 + 0 - 4*i - a*i**5 + 0*i**2. Factor c(h).
-2*h*(h + 1)**3*(h + 2)/11
Let k = -28521 - -28523. Let l(o) be the third derivative of 1/300*o**5 + 0*o + 0 + 1/30*o**4 + 18*o**k + 2/15*o**3. Factor l(x).
(x + 2)**2/5
Let l(c) = 11*c**3 - c**2 - 2*c - 15. Let r(m) = -13*m**3 + 2*m**2 + m + 16. Let b(s) = 6*l(s) + 5*r(s). Factor b(j).
(j - 2)*(j + 1)*(j + 5)
Let m(c) be the first derivative of c**7/280 + 7*c**6/600 - c**5/25 - c**4/10 + 50*c**3/3 - 46. Let i(o) be the third derivative of m(o). Solve i(a) = 0 for a.
-2, -2/5, 1
Let w(f) be the first derivative of f**6/900 - f**4/60 + f**3 - 3*f**2/2 + 55. Let x(z) be the third derivative of w(z). Determine h so that x(h) = 0.
-1, 1
Let s(d) be the first derivative of -d**5/30 + 5*d**4/18 - d**3/3 + 3*d**2 + 7*d - 123. Let x(b) be the second derivative of s(b). Factor