 be the second derivative of g**6 + 114*g**5/5 - 158*g**4/5 + 64*g**3/5 + 4*g + 7. Factor u(q).
6*q*(q + 16)*(5*q - 2)**2/5
Let a(f) be the second derivative of -2*f**6/45 + f**5/15 + 2*f**4 - 104*f**3/9 + 80*f**2/3 + 11*f. Factor a(l).
-4*(l - 2)**3*(l + 5)/3
Let l(i) be the first derivative of -1/18*i**3 - 3*i**2 + 0*i + 1/180*i**6 - 8 + 1/60*i**5 + 0*i**4. Let t(o) be the second derivative of l(o). Factor t(k).
(k + 1)**2*(2*k - 1)/3
Let s(n) be the first derivative of n**8/4200 - n**6/300 + n**5/150 - 19*n**3/3 + 6. Let j(t) be the third derivative of s(t). Factor j(k).
2*k*(k - 1)**2*(k + 2)/5
Let k(d) be the third derivative of d**8/1344 + d**7/70 + 9*d**6/80 + 9*d**5/20 + 27*d**4/32 + 256*d**2. Find b such that k(b) = 0.
-3, 0
Suppose v = 5*r - 12, 5*v = 5*r + 2*v - 6. Suppose -2*i**5 - i**4 + i**5 + 3*i**4 - i**r = 0. Calculate i.
0, 1
Factor 1/2*g - 4*g**3 + 5*g**2 - 3/2.
-(g - 1)*(2*g + 1)*(4*g - 3)/2
Suppose 18/13*i**5 - 20/13*i + 46/13*i**2 + 170/13*i**3 + 122/13*i**4 + 0 = 0. What is i?
-5, -1, 0, 2/9
Let s(f) be the third derivative of f**5/450 + f**4/180 - 2*f**3/3 - 3*f**2 - 52*f. Factor s(j).
2*(j - 5)*(j + 6)/15
Let j(r) be the first derivative of r**5 + 45*r**4/4 + 115*r**3/3 + 75*r**2/2 - 374. Factor j(w).
5*w*(w + 1)*(w + 3)*(w + 5)
Factor -2/7*w**4 + 6/7*w**3 + 0*w + 0 + 0*w**2.
-2*w**3*(w - 3)/7
Factor -922*t**3 - 17*t + 8*t**2 - 15*t + 926*t**3.
4*t*(t - 2)*(t + 4)
Let m = -3/5296 + 10601/15888. Find l such that 13/3*l**2 - 23/3*l**3 + 4*l**4 + 0 - m*l = 0.
0, 1/4, 2/3, 1
Solve 4*t**3 - 45*t + 0*t**3 - 9*t**3 + 12*t**2 + 4*t**3 + 50 = 0 for t.
2, 5
Let b(k) be the first derivative of 40*k**3/9 - 6*k**2 - 4*k/3 - 35. Factor b(r).
4*(r - 1)*(10*r + 1)/3
Let y(k) be the first derivative of k**4/16 - 2*k**3/3 + 17*k**2/8 - 5*k/2 - 60. Solve y(f) = 0.
1, 2, 5
Solve 189/10*t + 98/5 - 9/10*t**3 + 1/10*t**4 - 17/10*t**2 = 0.
-4, -1, 7
Let b(a) be the first derivative of a**4 - 20*a**3/3 + 8*a**2 + 532. Factor b(x).
4*x*(x - 4)*(x - 1)
Let k(o) be the second derivative of 22*o + 0*o**3 - 1/24*o**4 + 0 + 0*o**2 + 1/80*o**5. Factor k(d).
d**2*(d - 2)/4
Let u(f) = 4*f**3 + 100*f**2 - 130*f - 191. Let l(z) = z**3 + 32*z**2 - 43*z - 64. Let n(a) = 7*l(a) - 2*u(a). Factor n(s).
-(s - 22)*(s - 3)*(s + 1)
Let y be (-12)/(-72) - (-23)/6. Factor -5*a**3 + 2*a**3 + 7*a**3 - y*a**2.
4*a**2*(a - 1)
Let a = 285/4 + -3127/44. Find i such that a + 4/11*i**2 + 2/11*i**5 - 6/11*i - 6/11*i**4 + 4/11*i**3 = 0.
-1, 1
Let h(u) be the second derivative of 2*u**6/15 - u**5 + 2*u**4 + 8*u**3/3 - 16*u**2 + 142*u. Factor h(g).
4*(g - 2)**3*(g + 1)
Let h(k) be the first derivative of -k**7/840 + k**6/360 + k**5/24 + k**4/8 - 4*k**3 - 1. Let f(j) be the third derivative of h(j). Factor f(i).
-(i - 3)*(i + 1)**2
Let y(o) be the third derivative of -o**6/150 + o**5/300 + 62*o**2. Factor y(u).
-u**2*(4*u - 1)/5
Suppose 6*x - x + 8 = 3*j, -2*j - 3*x = -37. Factor j + 25 - 5*u**2 - 4*u - 6 - u.
-5*(u - 2)*(u + 3)
Suppose -4*k + 37 = 3*h, -5*h + 22 = 3*k - 14. Let 0 - h*s**3 + 3*s**5 + 0*s + 6/7*s**2 - 6/7*s**4 = 0. Calculate s.
-1, 0, 2/7, 1
Let i be 8/15 + -2*4/(-60). Factor -13/6*a**2 - i - a**3 - 2*a - 1/6*a**4.
-(a + 1)**2*(a + 2)**2/6
Let r = 437 + -437. Let u(h) = h**3 - 14*h**2 - 16*h + 17. Let g be u(15). Find c, given that 2/13*c**5 - 4/13*c**3 + 2/13*c + r*c**4 + 0 + 0*c**g = 0.
-1, 0, 1
Find v, given that -49/2*v**3 + 292*v + 42 + 1001/2*v**2 = 0.
-2/7, 21
Suppose -1296 - 449*b**2 - 1886*b + 157*b**2 - 2440*b + 1590*b - 8*b**3 = 0. Calculate b.
-18, -1/2
Let d be (170/25)/(6/(-60)). Let q = d + 70. Factor 1/4*r**4 + 0 + 1/4*r**5 + 0*r - 1/4*r**q - 1/4*r**3.
r**2*(r - 1)*(r + 1)**2/4
Let d be 45/12 - (9/4)/3. Suppose 3*l - 4*b + 12 = 0, -2*l = -d*b + 9 - 0. Find r, given that -r**3 + 1/3*r**5 - 2/3*r**2 + 0 + l*r + 0*r**4 = 0.
-1, 0, 2
Let g = 456 - 454. Let l(f) be the second derivative of 0*f**g - 1/24*f**4 + 0 + 1/12*f**3 - 3*f. Factor l(h).
-h*(h - 1)/2
Factor 3*b**2 + 72/5*b - 1/5*b**3 + 76/5.
-(b - 19)*(b + 2)**2/5
Let y(k) = -k**3 + 8*k**2 + 2*k - 13. Let n be y(8). Let s(v) be the second derivative of -3*v**2 + 5*v + 0*v**4 + 3/20*v**5 + 0 - 3/2*v**n. Factor s(h).
3*(h - 2)*(h + 1)**2
Let j(q) be the third derivative of q**5/90 - 55*q**4/18 + 3025*q**3/9 + 307*q**2. Solve j(b) = 0 for b.
55
Let y be (-44)/(-88)*2/(-6)*0. Let k(h) be the first derivative of 4/3*h**3 + y*h - 8 - 2*h**2. Determine p so that k(p) = 0.
0, 1
Solve 62 - 35 + 507*n - 417 - 5*n**2 - 602*n = 0.
-13, -6
Let f = 1016 + -1014. Let n(v) be the second derivative of -2/33*v**3 + 0 + 1/66*v**4 - 12*v + 0*v**f. Determine p so that n(p) = 0.
0, 2
Let k(t) = -t + 46. Let j be k(43). Let q(v) be the second derivative of -5/21*v**j - 1/14*v**4 + 0 - 5*v + 2/7*v**2. Solve q(f) = 0 for f.
-2, 1/3
Solve 16/3 - 31/6*u**3 - 11/2*u**2 + 1/6*u**4 + 31/6*u = 0.
-1, 1, 32
Let v = 26 - -2. Let h = v - 28. Factor -3/4*y + h + 3/4*y**2.
3*y*(y - 1)/4
Let s(f) = -158*f + 1266. Let m be s(8). Factor 5/2*v**2 + m*v**3 + v + 0 + 1/2*v**4.
v*(v + 1)**2*(v + 2)/2
Let t(f) be the second derivative of -1/25*f**5 + 36*f + 1/30*f**4 + 1/150*f**6 + 0 + 2/15*f**3 - 3/10*f**2. Solve t(d) = 0.
-1, 1, 3
Factor 24/5*u - 12/5 - 9/5*u**2.
-3*(u - 2)*(3*u - 2)/5
Determine z, given that 4/7*z + 8/7 - 4/7*z**2 = 0.
-1, 2
Suppose -6*o + 4 + 14 = 0. Let v = 6 + -6. Solve -2/7*k - 2/7*k**o + v - 4/7*k**2 = 0.
-1, 0
Let c = 12/1303 + 2450/16939. Let c*x**2 - 10/13 - 8/13*x = 0. Calculate x.
-1, 5
Let j(g) = -95*g**3 + 470*g**2 + 320*g + 75. Let h(c) = -2*c**3 + 2*c**2 + c + 1. Let o(r) = 25*h(r) - j(r). Factor o(s).
5*(s - 10)*(3*s + 1)**2
Let h = 14/313 + 271/939. Factor -h*o**2 + 1/3*o + 2/3.
-(o - 2)*(o + 1)/3
Factor 2*v**2 + 3/2*v**3 - 2*v**4 + 0 + 1/2*v**5 - 2*v.
v*(v - 2)**2*(v - 1)*(v + 1)/2
Let y(d) = d**3 + 1. Let u(j) = 10*j**3 + 180*j**2 + 2700*j + 13506. Let n(o) = u(o) - 6*y(o). Let n(g) = 0. What is g?
-15
Suppose 7*v - 36 = -2*v. Suppose 0*u + 3*u - 15 = 0. Let -2*w**2 + 0*w**3 - 2*w**5 + 2*w**3 + w**u - w**3 + 2*w**v = 0. Calculate w.
-1, 0, 1, 2
Let w(r) be the second derivative of -10/3*r**4 + 45/2*r**2 - 1/6*r**6 - 3/2*r**5 + 5*r**3 + 7*r + 0. Determine j so that w(j) = 0.
-3, -1, 1
Let t(z) be the second derivative of 0 + 0*z**3 + 7/2*z**2 + 1/420*z**5 + 4*z + 0*z**4. Let v(c) be the first derivative of t(c). Factor v(g).
g**2/7
Let q(j) be the third derivative of -j**7/70 - j**6 - 179*j**5/10 + 105*j**4 - 441*j**3/2 + 5*j**2 + 2*j. Find k such that q(k) = 0.
-21, 1
Let t(f) = 12*f - 57. Let o be t(6). Let a be (-1)/3 - (0 - 10/o). Factor 0 + 1/3*k**4 - a*k - k**3 + k**2.
k*(k - 1)**3/3
Let k(m) = 0*m**2 + 5*m**3 - 4*m**3 - 4*m**2 + 10 + 3*m - 2*m**2. Let r be k(5). Factor 4/17*b - 2/17*b**2 + r.
-2*b*(b - 2)/17
Let y(z) be the third derivative of -z**6/960 - z**5/80 + z**4/12 - 2*z**2 - 6*z. Factor y(t).
-t*(t - 2)*(t + 8)/8
Suppose -11*i + 10*i - 3*d = -9, -i = 4*d - 11. Let n(r) be the first derivative of 0*r**2 + 0*r + 0*r**5 - 2 + 8/3*r**3 + i*r**4 - 2/3*r**6. Factor n(g).
-4*g**2*(g - 2)*(g + 1)**2
Factor 2*y**4 + 19*y**3 - 11*y**4 - 73*y**3 - 12*y**4 + 3*y**5.
3*y**3*(y - 9)*(y + 2)
Let w = 43/19 + 4703/323. Factor 242/17 - 2/17*s**3 + 46/17*s**2 - w*s.
-2*(s - 11)**2*(s - 1)/17
Let s(m) be the first derivative of -m**6/480 + m**5/240 + m**4/48 + 21*m**2/2 + 29. Let f(k) be the second derivative of s(k). Factor f(g).
-g*(g - 2)*(g + 1)/4
Let c(y) = -y**2 + 9*y - 2. Let p be c(7). Let i = p - 6. Factor 0*n + 7 + 2*n + 9 + i*n + n**2.
(n + 4)**2
Let t(p) = 3*p**2 + 187*p - 7. Let q(n) = n**2 + 63*n - 2. Let b(o) = 14*q(o) - 4*t(o). Determine v so that b(v) = 0.
-67, 0
Suppose 96 = 7*c - 44. Factor 47*n + 70*n**2 - 5*n**4 - 55*n**2 - 10*n**3 - 7*n + c.
-5*(n - 2)*(n + 1)**2*(n + 2)
Suppose 2/9*a**2 - 2*a + 28/9 = 0. What is a?
2, 7
Suppose -15 = 3*t + 2*t - c, 0 = 3*t - 4*c + 26. Let y be -2 + (1 - t) + 1. Factor -10*x**3 - 6*x**4 - y*x**2 - 4*x**2 + 2*x**2.
-2*x**2*(x + 1)*(3*x + 2)
Let v = 39 + -23. Factor 4*b**5 - 5*b**5 - v*b**3 + 12*b + 5*b**5 + 8 - 8*b**2.
4*(b - 2)*(b - 1)*(b + 1)**3
Let m(o) be the second derivative of -o**4/24 + 41*o**3/36 - 13*o**2/6 - 17*o - 2. Suppose m(r) = 0. Calculate r.
2/3, 13
Let v(d) be the second derivative of -d**7/56 - 13*d**6/72 - d**5/12 + 5*d**4/3 +