 = 0. What is o?
-2, 0, 1, 2
Let s(b) be the second derivative of -b**4/12 - 31*b**3/3 + 63*b**2/2 - 24*b - 1. Solve s(l) = 0.
-63, 1
Factor 396*i + 36*i**3 + 363/2 + 249*i**2 + 3/2*i**4.
3*(i + 1)**2*(i + 11)**2/2
Suppose f - 5*y - 40 - 15 = 0, 3*f + 5*y - 85 = 0. Let a be 188/f - (-32)/(-56). Let 12/5 - 3*l**2 + a*l = 0. What is l?
-2/5, 2
Let k(j) be the first derivative of j**6/6 + 13*j**5/5 + 35*j**4/4 - 49*j**3/3 - 99. Let k(n) = 0. Calculate n.
-7, 0, 1
Let n(m) be the second derivative of -m**5/80 - m**4/48 + m**3/24 + m**2/8 + 3*m + 5. Suppose n(q) = 0. Calculate q.
-1, 1
Let w = 5257 + -5257. Determine b, given that w*b + 0 + 1/8*b**4 + 1/8*b**5 + 0*b**2 + 0*b**3 = 0.
-1, 0
Let k(q) = q + 1. Let w be k(3). Suppose 20 = 5*j + 4*p, 0 = j + 3*p - 0 - 15. Factor w*v**2 + 24/7*v - 12/7*v**3 + j.
-4*v*(v - 3)*(3*v + 2)/7
Suppose 10*v - 90 = -20. Let a be -1*(0 + (4 - v)). Factor -5/3*u + 2/3 - 1/3*u**a + 4/3*u**2.
-(u - 2)*(u - 1)**2/3
Suppose 859 - 877 = -9*x. Factor 2/11*w**x + 4/11*w + 2/11.
2*(w + 1)**2/11
Suppose 0 = 9*v - 323 + 287. Let i(x) be the first derivative of 1/18*x**6 + 2/5*x**5 - 2*x**2 - 8/3*x + 2/9*x**3 + 1 + 11/12*x**v. Factor i(f).
(f - 1)*(f + 1)*(f + 2)**3/3
Let k(s) be the third derivative of 4*s**2 + 0*s + 2/525*s**7 - 2/15*s**3 + 0 + 1/15*s**4 - 1/75*s**6 + 0*s**5. Let k(w) = 0. Calculate w.
-1, 1
Factor -1/7*i**2 + 4/7*i + 3.
-(i - 7)*(i + 3)/7
Suppose 2*u - 4 = 6. Suppose -5*i = -3*i. Let -2*c + 3*c**3 - 6*c + i*c**3 + u*c = 0. What is c?
-1, 0, 1
Let 0 + 2/5*w + 1/5*w**3 + 3/5*w**2 = 0. What is w?
-2, -1, 0
Factor 5 - 10*y - 5/4*y**5 + 5/4*y**2 - 5/4*y**4 + 25/4*y**3.
-5*(y - 1)**3*(y + 2)**2/4
Let m = -45484/5 + 9098. Factor -1/5*h**4 + 17/5*h + 3/5*h**3 + m + 3*h**2.
-(h - 6)*(h + 1)**3/5
Let b(a) = a**2 - 13*a. Let x(s) be the third derivative of -s**5/30 + 25*s**4/24 - s**3/6 + 4*s**2. Let r(o) = -11*b(o) - 6*x(o). Let r(w) = 0. What is w?
1, 6
Let z = -7624 - -7624. Factor 2/11*o**2 + z*o - 8/11.
2*(o - 2)*(o + 2)/11
Let g(t) be the first derivative of 3/4*t**3 + 3/20*t**5 + 0*t**2 + 0*t - 12 - 3/4*t**4. Factor g(j).
3*j**2*(j - 3)*(j - 1)/4
Let m be ((-4)/28)/(-5 - 36/(-8)). Factor -1/7*v**2 - 1/7 - m*v.
-(v + 1)**2/7
Let i(u) = u**2 + 1. Let a(v) = -5*v**2 + 5*v + 10. Let d(f) = a(f) + 4*i(f). Factor d(r).
-(r - 7)*(r + 2)
Let i(h) be the first derivative of 2*h**3/9 - 4*h**2 - 56*h/3 - 85. Determine f so that i(f) = 0.
-2, 14
Solve -2/13*g**2 + 20/13*g - 18/13 = 0 for g.
1, 9
Suppose -2/3*p**5 - 436/3*p**4 + 0 + 0*p**2 + 0*p - 23762/3*p**3 = 0. Calculate p.
-109, 0
Suppose 6*x = 14*x. Suppose x = 8*c + 7*c. Suppose 2/5*n**2 + 3/5*n**3 + c + 1/5*n**4 + 0*n = 0. What is n?
-2, -1, 0
Solve -28/5*g**2 - 1/10*g**5 + 59/10*g - 2 + 7/5*g**3 + 2/5*g**4 = 0 for g.
-4, 1, 5
Let s(g) be the first derivative of g**4/32 - g**3/12 + g**2/16 + 2. Let s(b) = 0. Calculate b.
0, 1
Let y = 9 - 8. Let h be y/(-2) - (-4)/8. What is m in 0 + 1/3*m**2 + h*m = 0?
0
Determine j so that 1/2*j**5 + 0*j**2 + 0*j**3 - 1/2*j**4 + 0*j + 0 = 0.
0, 1
Let q = 18158 - 18158. Suppose 2/5*g**2 + 2*g + q = 0. What is g?
-5, 0
Let z(o) be the third derivative of o**6/60 - o**5/15 + o**4/12 + 2*o**2 + 6*o. Let z(s) = 0. What is s?
0, 1
Let t(q) be the second derivative of 0*q**2 - 1/50*q**6 + 1/4*q**4 - 9/100*q**5 + 1/70*q**7 + 0 - 6*q - 1/5*q**3. Factor t(c).
3*c*(c - 1)**3*(c + 2)/5
Suppose -6*p - 9*p = 90. Let n be 18/(-42) - p/14. Find c such that -3/4*c**3 + 3/2*c**2 + n + 0*c = 0.
0, 2
Let z(k) = 5*k + 30. Let y be z(-5). Let u(l) be the first derivative of 0*l + 1/11*l**2 + 2/33*l**3 - 2/55*l**y - 11 - 1/22*l**4. Suppose u(t) = 0. What is t?
-1, 0, 1
Let s = 12681/20605 + -1/20605. Suppose -s + 10/13*j**4 + 16/13*j - 2/13*j**5 - 2/13*j**2 - 14/13*j**3 = 0. What is j?
-1, 1, 2
Let y = -1184/285 + 84/19. Determine p so that 2/3*p**4 - 2/15*p**3 - 2/3*p**2 - y*p + 2/5*p**5 + 0 = 0.
-1, -2/3, 0, 1
Let j(o) = 3*o**4 + 0*o**4 + 2 + 3 - 2*o**2 - 6. Let s(l) = 7*l**4 + l**3 - 5*l**2 - l - 2. Let z(b) = 5*j(b) - 2*s(b). Factor z(v).
(v - 1)**3*(v + 1)
Factor -24/5*x**2 + 0*x + 18/5*x**3 + 0 - 3/5*x**4.
-3*x**2*(x - 4)*(x - 2)/5
Let b(o) be the third derivative of o**6/60 + 7*o**5/30 - o**4/12 - 7*o**3/3 - 63*o**2. Solve b(d) = 0 for d.
-7, -1, 1
Suppose 0 = 19*d - 78 + 40. Let v(x) be the first derivative of 5/4*x**3 + 7 + 0*x**d + 0*x - 5/16*x**4. Factor v(g).
-5*g**2*(g - 3)/4
Determine u so that -10*u**3 - 46*u - 8*u**4 + 35*u**3 - 24 - 6*u + 8*u**2 + 3*u**3 = 0.
-1, -1/2, 2, 3
Factor 0 - 1/2*o**2 - 22*o.
-o*(o + 44)/2
Suppose 0 = -5*o + 2*n + 8, 4*o + 6 = 5*o + 4*n. Suppose -w + 1 = -o. Find g, given that -3*g**4 - 9*g**3 + 6 - 4*g + 30*g - w*g**2 - 17*g = 0.
-2, -1, 1
Let g(z) be the first derivative of -z**8/560 + 3*z**6/200 - z**5/50 - 15*z**2/2 - 13. Let a(l) be the second derivative of g(l). Factor a(r).
-3*r**2*(r - 1)**2*(r + 2)/5
Let v = -1/2499 + 7501/9996. Let -3/4*o**3 + 0 + v*o**2 + 3/2*o = 0. Calculate o.
-1, 0, 2
Factor f**3 - 2*f**4 - 12*f**4 - f**5 + 234*f + 14*f**2 - 234*f.
-f**2*(f - 1)*(f + 1)*(f + 14)
Suppose 3*b - 97 = -274. Let x = -411/7 - b. Determine g so that -x*g**2 + 0 + 0*g = 0.
0
Let t be 22/(-220)*8 - 16/(-10). Find v, given that 12/5*v**4 + 8/5*v**3 - 4/5 - 12/5*v - 8/5*v**2 + t*v**5 = 0.
-1, 1
Let v be (((-33)/2)/3)/(66/(-132)). Let -v*q**2 - 4 + 3*q**2 - 56*q + 66*q + 2*q**3 = 0. Calculate q.
1, 2
Let q(k) be the third derivative of 0*k + 2/35*k**6 + 2/35*k**5 + 0 - 22*k**2 + 0*k**3 + 1/56*k**4. Let q(r) = 0. Calculate r.
-1/4, 0
Let z = 2156/5 - 430. Factor -24/5*m**3 + 3*m**4 + 3/5*m**2 + z*m + 0.
3*m*(m - 1)**2*(5*m + 2)/5
Let c(a) be the second derivative of -4*a - 3/2*a**2 + 0 + 2/3*a**3 - 1/12*a**4. Factor c(z).
-(z - 3)*(z - 1)
Let s(g) = -3*g - 13. Let h = 39 + -46. Let y be s(h). Factor 3 + y*z + 1/3*z**4 + 8/3*z**3 + 22/3*z**2.
(z + 1)**2*(z + 3)**2/3
Let u(h) = -h**2 + 22*h - 18. Let f be u(21). Suppose 9*n + 0*n**3 - 5*n + 12*n**2 + 6 + f*n**3 + 11*n = 0. What is n?
-2, -1
Suppose 26*f + 524 = 602. What is z in 5/3*z**4 + 11/3*z - z**2 - 11/3*z**f - 2/3 = 0?
-1, 1/5, 1, 2
Factor -47 - 1311*f**3 - 23 + 63*f - 60*f**2 + 648*f**3 + 655*f**3 + 73*f + 2*f**4.
2*(f - 7)*(f - 1)**2*(f + 5)
Let b(i) be the first derivative of -i**4/28 + 5*i**3/21 - 3*i**2/14 - 9*i/7 + 19. Determine t, given that b(t) = 0.
-1, 3
Suppose 2*t = 10*t - 72. Let a(m) be the third derivative of -1/15*m**5 + 5/6*m**4 + 0 + 0*m + t*m**2 - 8/3*m**3. Factor a(u).
-4*(u - 4)*(u - 1)
Factor 4/5*k**3 + 0 - 2/5*k**2 + 2/5*k**4 - 4/5*k.
2*k*(k - 1)*(k + 1)*(k + 2)/5
Let n(t) be the third derivative of 0*t + 4*t**2 - 1/12*t**4 + 0 - 1/120*t**5 - 1/4*t**3. Factor n(f).
-(f + 1)*(f + 3)/2
Let l = -164 + 164. Suppose l = -6*t - 37 + 49. Suppose -2/11*b**t - 4/11 - 6/11*b = 0. What is b?
-2, -1
Let b(d) = 1. Let w(x) be the first derivative of 5*x**6/6 - x**5 - 5*x**4/4 + 5*x**3/3 + 10*x - 9. Let v(h) = 10*b(h) - w(h). Let v(c) = 0. Calculate c.
-1, 0, 1
Let o(z) be the third derivative of 0*z**5 - 2/21*z**7 + 0*z**3 + 0*z + 0 + 0*z**4 - 5/336*z**8 - 12*z**2 - 1/6*z**6. Solve o(b) = 0 for b.
-2, 0
Let n(q) = 2*q + 2. Let v be n(8). Factor 7 + 1 - 15*x**2 + 12*x - v*x**2 + 37*x**2.
4*(x + 1)*(x + 2)
Let z(y) = -y**3 + 20*y**2 - 2*y + 28. Let d be z(20). Let c be (-4)/d + 4/(-36). Suppose 0 - 4/9*i - c*i**2 = 0. Calculate i.
-2, 0
Suppose 6*r - 27 = 3. Factor -204*x**4 - 3*x**5 - 526*x**2 + 476*x**3 + 31*x**r + 42*x**2 + 216*x - 32.
4*(x - 4)*(x - 1)**3*(7*x - 2)
Factor 1/4*g**3 - 3/2*g + 3/4*g**2 - 2.
(g - 2)*(g + 1)*(g + 4)/4
Let k = 498/23 - -2186/69. Let c = 54 - k. Factor 0 + 2/3*h**5 + 2/3*h**4 - 2/3*h**3 + 0*h - c*h**2.
2*h**2*(h - 1)*(h + 1)**2/3
Let k(f) be the first derivative of 9*f**5 - 33*f**4/7 + 4*f**3/7 - 121. What is u in k(u) = 0?
0, 2/15, 2/7
Let a be ((-70)/(-240)*4)/((-14)/(-16)). Find n, given that -a + 2*n + 0*n**2 - 2/3*n**3 = 0.
-2, 1
Let q(w) be the first derivative of 4*w**3/9 + 46*w**2/3 - 50. Find y, given that q(y) = 0.
-23, 0
Let j = -2/262541 - -22578736/27566805. Let o = j + -24/35. Determine n, given that 0*n + 2/15*n**3 + 0 + o*n**2 = 0.
-1, 0
Factor -20*h + 0*h**4 - 14*h**4 + 5*h**3 + 9*h**4 + 20*h**2.
-5*h*(h - 2)*(h - 1)*(h + 2)
Let l be (-1)/5 - (-27764)/220. Let h = l + -123. Factor 9/5 + 3*g**2 - 