 be the first derivative of -k**8/336 - k**7/168 + k**6/24 + k**5/24 - 5*k**4/12 - 4*k**3 - 9. Let z(l) be the third derivative of b(l). Factor z(w).
-5*(w - 1)**2*(w + 1)*(w + 2)
Factor 87*w**2 - 122*w - 5*w**3 + 20 + 77*w - 57*w**2.
-5*(w - 4)*(w - 1)**2
Let i(l) = 5*l**2 - 436*l + 87. Let c be i(87). Factor 2/9*a**5 + 0 + 0*a**2 + 4/9*a**4 + 2/9*a**3 + c*a.
2*a**3*(a + 1)**2/9
Let a(s) be the first derivative of 2*s**5/35 + 212*s**4/7 + 89888*s**3/21 + 772. Factor a(n).
2*n**2*(n + 212)**2/7
Suppose -18*s + 528 = -2*s. Suppose -x + 2*d = 0, -3*x = 9*d - 4*d - s. Factor -3/2*i**2 - x*i - 9/2.
-3*(i + 1)*(i + 3)/2
Let y(s) = s**2 + s + 1. Suppose 3*u - 16 = -7. Let r(a) = 2*a**2 + 3*a + 3. Let c(i) = u*y(i) - r(i). Factor c(v).
v**2
Let v be (37/(-303))/(-3 - 66/(-27)). Let f = v + -2/101. Let -1/5*z**4 + 0*z**2 + 0*z**3 + 0*z + f*z**5 + 0 = 0. What is z?
0, 1
Let s(w) = -w**3 - 5*w**2 + 4*w - 9. Let x be s(-6). Find l such that -27*l**2 - 7*l**x + 5*l**3 + 8 + 21*l**2 = 0.
-2, 1
Let v(t) be the first derivative of t**3/12 - 21*t**2/4 + 441*t/4 + 16. Find i such that v(i) = 0.
21
Let v(j) = 4*j**2 + 2288*j - 127718. Let q(k) = k**2 + 458*k - 25544. Let y(g) = 14*q(g) - 3*v(g). Factor y(n).
2*(n - 113)**2
Suppose 4*l + 2*x + 3*x + 2 = 0, 8 = l - 3*x. Let w = 4 + l. Factor -2 - 2 - 3*z + 2 - 3*z + 2*z**2 + w*z**3.
2*(z - 1)*(z + 1)*(3*z + 1)
What is m in -27*m - 3*m**2 - 144 + 11*m + 64*m - m**2 = 0?
6
Let w(m) be the first derivative of 9*m**4/4 - 17*m**3 - 9*m**2 + 72. Factor w(n).
3*n*(n - 6)*(3*n + 1)
Let u(y) be the first derivative of 1 - 1/15*y**3 - 6/5*y - 1/2*y**2. Factor u(c).
-(c + 2)*(c + 3)/5
Let i(k) = 2*k - 2. Let b be i(2). Let o be 21/7 + -2 + b. Factor 4*w**5 + o*w**2 - 8*w**4 - 4*w**2 + w - 5*w + 9*w**2.
4*w*(w - 1)**3*(w + 1)
Let v(a) = 2*a**3 - 30*a**2 - a + 15. Let s be v(15). Let h(n) be the third derivative of -1/22*n**4 - 3/11*n**3 - 1/330*n**5 + s + 0*n - n**2. Factor h(o).
-2*(o + 3)**2/11
Suppose -10*m**4 + 7*m**4 + 19*m**2 + 46*m - 46*m - 3*m**3 - m**2 = 0. What is m?
-3, 0, 2
Let r(t) = t - 1. Let w(u) = -15 - 6*u + 38 + 3*u**2 - 21. Let q(g) = -4*r(g) - w(g). Let v(n) = 7*n**2 - 5*n - 3. Let f(m) = 5*q(m) + 2*v(m). Solve f(d) = 0.
-2, 2
Let y(b) be the third derivative of b**6/60 + b**5/10 - 3*b**4/4 + 5*b**3/3 - 40*b**2. Factor y(s).
2*(s - 1)**2*(s + 5)
Let t = 34 + -31. Let c(q) = q**3 - 5*q**2 - 4*q - 8. Let p be c(6). Factor -11*z**3 - 12*z**2 - z - t*z + 8*z**3 - p*z**4 - 9*z**3.
-4*z*(z + 1)**3
Let h(r) be the third derivative of r**5/240 + 35*r**4/8 + 3675*r**3/2 + 921*r**2. Let h(k) = 0. What is k?
-210
Let r(m) be the third derivative of m**7/105 - 7*m**6/30 - m**5/2 - 33*m**2. Let r(u) = 0. What is u?
-1, 0, 15
Let h(r) be the third derivative of -r**8/448 + 11*r**7/840 - r**6/32 + 3*r**5/80 - r**4/48 - 5*r**2 - r. Factor h(w).
-w*(w - 1)**3*(3*w - 2)/4
Let n(c) be the third derivative of 0 + 15*c**2 + 1/80*c**5 + 1/16*c**4 + 1/8*c**3 + 0*c. Factor n(o).
3*(o + 1)**2/4
Let w(o) = 5*o**3 + 21*o**2 + 4*o. Let t be w(-4). Let y(m) be the second derivative of t - 3/80*m**5 - 1/16*m**4 + 1/8*m**3 + m + 3/8*m**2. Factor y(a).
-3*(a - 1)*(a + 1)**2/4
Let b(o) be the third derivative of -o**6/180 + o**5/60 + o**3 - 6*o**2. Let f(h) be the first derivative of b(h). Factor f(d).
-2*d*(d - 1)
Let p(u) = u**2 + 6*u + 4. Let l be p(-6). Suppose -10 = 3*c - c - l*f, -5*c + 35 = 5*f. Factor -6*k**4 + 0 + 4/5*k + 12/5*k**2 - 11/5*k**c + 5*k**5.
k*(k - 1)**2*(5*k + 2)**2/5
Let z(v) be the second derivative of v**6/240 - 7*v**5/160 + 7*v**4/48 - v**3/6 + 60*v - 3. Suppose z(k) = 0. Calculate k.
0, 1, 2, 4
Let v be 40/(-105) - (-30)/45. Factor 6/7*d**3 + 2/7*d - 6/7*d**2 + 0 - v*d**4.
-2*d*(d - 1)**3/7
Let k(y) be the first derivative of 3*y**5/25 - 3*y**4/20 - 2*y**3 + 6*y**2/5 + 72*y/5 - 214. Factor k(z).
3*(z - 3)*(z - 2)*(z + 2)**2/5
Let o be 2/(-8) - 0 - 25/(-4). Determine r, given that 1 - 1 - o*r + 26*r + 4*r**2 = 0.
-5, 0
Suppose 0*x + 2*k - 2704 = -3*x, 0 = -5*x - 5*k + 4500. Determine w, given that -6*w - 2*w + 900 - x - 4*w**2 = 0.
-1
Let o(m) = -m**2 + 9*m + 3. Let f be o(9). Let w be 2*f/((-18)/(-2)). Determine h, given that 0*h - 1/3*h**4 - 1/3*h**2 + 0 - w*h**3 = 0.
-1, 0
Suppose 7 = -x + i + 19, 4*x - 3*i = 44. Find l, given that 10*l + x - 6*l - 8*l - 4*l**2 = 0.
-2, 1
Let d(n) be the third derivative of -n**6/320 + n**5/160 - 27*n**2. Find h, given that d(h) = 0.
0, 1
Factor -160*k**3 + 155*k**3 + 11*k + 104*k - 135*k**2 + 25*k**2.
-5*k*(k - 1)*(k + 23)
Let n(q) be the first derivative of 0*q - 9 - 5/3*q**3 - 5*q**2. Factor n(y).
-5*y*(y + 2)
Let c(m) be the first derivative of -2*m**5/75 - m**4/6 - 16*m**3/45 - 4*m**2/15 - 52. Determine k so that c(k) = 0.
-2, -1, 0
Let i(o) be the first derivative of 2*o**6/9 - 29*o**5/15 + 71*o**4/12 - 64*o**3/9 + 2*o**2 - 115. Let i(g) = 0. What is g?
0, 1/4, 2, 3
Let l(d) be the third derivative of d**11/1829520 - d**9/166320 + d**7/27720 + 11*d**5/60 - 9*d**2. Let f(a) be the third derivative of l(a). Factor f(y).
2*y*(y - 1)**2*(y + 1)**2/11
Let f be (-39 - -41) + -1 + 1/1. Let w(r) be the third derivative of 1/60*r**4 - 1/10*r**3 + 0 + 0*r - 3*r**f + 1/60*r**5. Find u, given that w(u) = 0.
-1, 3/5
Let z = 36782/7 + -5254. What is h in 0 + 2/7*h**2 + z*h = 0?
-2, 0
Let a(u) be the second derivative of -u**5/4 + 5*u**4/3 + 145*u**3/6 + 60*u**2 - 751*u. Factor a(z).
-5*(z - 8)*(z + 1)*(z + 3)
Let w(l) be the second derivative of l**4/12 + 5*l**3/2 + 27*l**2 - 3*l - 164. Find r such that w(r) = 0.
-9, -6
Let c(h) be the second derivative of -1/2*h**4 + 0 + 0*h**2 + h**3 + 27*h + 3/40*h**5. Let c(w) = 0. What is w?
0, 2
Let q(m) be the third derivative of m**7/168 + m**6/18 + 29*m**3/6 + 19*m**2. Let b(h) be the first derivative of q(h). Factor b(d).
5*d**2*(d + 4)
Let v be (24/(-20))/(((-32)/(-120))/(-1)). Factor 0 - v*w**3 - 5/2*w**4 - 1/2*w**5 - 7/2*w**2 - w.
-w*(w + 1)**3*(w + 2)/2
Let q be (5 - 4) + (-836)/24. Let u = q - -34. Determine g, given that -1/2*g**3 + u - 1/6*g - 5/6*g**2 = 0.
-1, 1/3
Factor -26/19*x - 84/19 - 2/19*x**2.
-2*(x + 6)*(x + 7)/19
Let s = 821/99 + -90/11. Let u = s - -25/18. Determine w so that 0 + 3/4*w**2 + u*w = 0.
-2, 0
Let o(a) = -a**2 - 8*a - 6. Suppose 18 = -5*g + 2*g. Let t be o(g). Factor -t*d**2 - d**3 - 12*d**3 + 33*d + 2*d**3 - 22*d**3 + 6.
-3*(d - 1)*(d + 1)*(11*d + 2)
Find j such that -300 + 170*j + 815*j**2 - 315*j**4 - 785/2*j**3 + 45/2*j**5 = 0.
-2, -2/3, 2/3, 1, 15
Factor -4/19*t**2 - 2/19*t**3 + 0 + 0*t + 2/19*t**4.
2*t**2*(t - 2)*(t + 1)/19
Let d(b) be the third derivative of -b**6/420 - 2*b**5/105 + b**4/28 + 6*b**3/7 + 44*b**2 - 1. Factor d(s).
-2*(s - 2)*(s + 3)**2/7
Suppose -13*d - 6*d = -57. Factor 14*x**3 - 20*x**d + 3*x**3 + 19*x**3 + 20*x**2 + 8*x + 4*x**4.
4*x*(x + 1)**2*(x + 2)
Let n(u) be the second derivative of -u**8/504 + u**7/63 - 2*u**6/45 + 2*u**5/45 - 19*u**2/2 + 48*u. Let y(j) be the first derivative of n(j). Factor y(z).
-2*z**2*(z - 2)**2*(z - 1)/3
Let q be 8*(27/(-72))/(-1). Determine o, given that 9*o**2 + 3/2 - 9/2*o**5 - 3*o**q - 21/2*o**4 + 15/2*o = 0.
-1, -1/3, 1
Let c(r) = 2*r**2 + 1. Let o(m) be the third derivative of 11*m**5/15 + 7*m**4/3 + 36*m**3 - 28*m**2. Let v(x) = -20*c(x) + o(x). Factor v(t).
4*(t + 7)**2
Let p(s) be the first derivative of 24*s**2 - 12*s**3 - 16*s**3 + 29*s**3 + 192*s + 10. Determine j so that p(j) = 0.
-8
Let v(o) be the first derivative of 4*o**5/15 + 223*o**4/6 - 224*o**3/9 + 80. Factor v(y).
2*y**2*(y + 112)*(2*y - 1)/3
Let r be 6 - (4 - 46)/(-6) - 12/(-4). Factor -2/3*d**r - 2/3*d**3 + 0 + 0*d.
-2*d**2*(d + 1)/3
Let k(x) be the third derivative of -x**5/420 - x**4/56 + 2*x**3/21 + 40*x**2 + 1. Solve k(q) = 0 for q.
-4, 1
Suppose 51*s + 2*h = 55*s - 24, -3*h = 6. Find v, given that 0*v + 0*v**2 - 5/2*v**4 + 0 + v**3 + 3/2*v**s = 0.
0, 2/3, 1
Let r(b) be the second derivative of 1/4*b**4 - 1/30*b**6 + b**2 + 0 + 5/6*b**3 - 1/20*b**5 + 32*b. Factor r(l).
-(l - 2)*(l + 1)**3
Let d(a) be the second derivative of 0*a**2 + 0*a**5 - 2/15*a**6 + 15*a + 1/21*a**7 + 1/3*a**4 - 1/3*a**3 + 0. Factor d(c).
2*c*(c - 1)**3*(c + 1)
Let o be (203560/396)/7 + 186/(-341). Factor -2156/9*a**3 + 728/3*a**2 - o*a + 64/9 - 686/9*a**4.
-2*(a + 4)*(7*a - 2)**3/9
Let v(x) be the thi