50)/(-168)). Factor 14 + 157*k - 4 - v*k + 4*k**3 - 44*k**2 - 110.
4*(k - 5)**2*(k - 1)
Let d(n) be the first derivative of -9*n**3 + 51*n**2/2 + 6*n + 23. Factor d(y).
-3*(y - 2)*(9*y + 1)
Let h(d) be the third derivative of -d**5/150 - d**4/12 - 2*d**3/5 - 64*d**2 + 2. Factor h(l).
-2*(l + 2)*(l + 3)/5
Suppose -99 = -39*w + 18. Factor 0*q + 6/19*q**w + 2/19*q**4 + 4/19*q**2 + 0.
2*q**2*(q + 1)*(q + 2)/19
Let w = 23 - 95. Let l be (-26)/60 - 60/w. Factor -l*b**3 - 2/5*b**4 + 2/5*b**2 + 0*b + 2/5*b**5 + 0.
2*b**2*(b - 1)**2*(b + 1)/5
Suppose -5 + 21 = 4*b. Determine o, given that 11*o**2 - 15*o**2 - 5*o**3 + 8*o + b*o**4 - 3*o**3 = 0.
-1, 0, 1, 2
Let c(o) be the third derivative of -o**8/211680 - o**7/26460 + o**6/2520 + 2*o**5/15 - 11*o**2. Let g(z) be the third derivative of c(z). Factor g(a).
-2*(a - 1)*(a + 3)/21
Factor 74/7*l**4 + 0 - 4/7*l + 144/7*l**3 + 66/7*l**2.
2*l*(l + 1)**2*(37*l - 2)/7
Let y(c) = c**3 - 3*c**2 + 2*c - 3. Let x be y(-3). Let o = x + 68. Find m such that -26/11*m**4 + 8/11 + 6/11*m**o - 6/11*m**2 - 16/11*m + 34/11*m**3 = 0.
-2/3, 1, 2
Suppose 0 = -2*c + 8, 0*f + 4*f + 3*c = 36. Suppose 27 = f*h + 9. Factor 1/2*q**h - 3/2*q - 1 + 0*q**2.
(q - 2)*(q + 1)**2/2
Factor -22 - 1/2*k**2 + 12*k.
-(k - 22)*(k - 2)/2
Let b be 1/3 + 62/30. Let r(c) = 41*c - 1145. Let d be r(28). Factor -4/5*x**d - 4/5 - 12/5*x**2 - b*x.
-4*(x + 1)**3/5
Let v(w) be the third derivative of w**5/30 - 15*w**4/2 + 52*w**2. Determine i so that v(i) = 0.
0, 90
Suppose -a + 93 = -5*y + 109, 5*y - 3*a = 28. Determine l, given that 24/7*l + 0 + 30/7*l**3 - 6/7*l**4 - 48/7*l**y = 0.
0, 1, 2
Suppose 39*h + 5*h = 88. Let u(g) be the first derivative of 0*g**2 + 5/6*g**6 - h*g**5 + 4 + 10/3*g**3 + 0*g - 5/4*g**4. Factor u(q).
5*q**2*(q - 2)*(q - 1)*(q + 1)
Suppose 2*x = -3*h, -3*h + x + 13 = 4. Factor -6*k**h - 9*k**2 + 60*k - 30*k**2 - 20.
-5*(3*k - 2)**2
Factor -88/9*b + 92/9 - 4/9*b**2.
-4*(b - 1)*(b + 23)/9
Let a be 5/(-12)*465/(-775). Suppose 1/4 - a*b**3 - 3/4*b + 3/4*b**2 = 0. Calculate b.
1
Let x = 9814/7365 - -2/2455. Let 4/3*w**4 + 0 - x*w**2 - 2/3*w**3 - 1/3*w**5 + w = 0. Calculate w.
-1, 0, 1, 3
Let z(k) = k - 7. Let x be z(9). Let c(o) = o - 2. Let h be c(4). Determine n, given that -2 - n**2 - 11 + 12*n - x*n**h + 4 = 0.
1, 3
Let v(p) be the second derivative of p**8/13440 + p**7/15120 - 13*p**4/12 - 5*p. Let c(m) be the third derivative of v(m). Factor c(f).
f**2*(3*f + 1)/6
Let d(v) = -3*v**3 + 3*v - 6. Let l(b) be the first derivative of b**4/4 - b**3/3 + b - 9. Let n(i) = -d(i) - 6*l(i). Factor n(q).
-3*q*(q - 1)**2
Suppose -5*y = -8*y + 9. Factor 2*q**3 - 3*q**y - 3*q**2 + q - 33 + 36.
-(q - 1)*(q + 1)*(q + 3)
Let w(q) be the third derivative of q**9/22680 - q**7/2100 - q**6/1350 + 49*q**3/6 + 5*q**2. Let p(y) be the first derivative of w(y). Factor p(i).
2*i**2*(i - 2)*(i + 1)**2/15
Determine o so that -32 - 63*o**2 + 35*o**3 - 102*o**2 + 92*o + 73*o**2 - o**5 - 2*o**4 = 0.
-8, 1, 2
Let a be 6 - 3 - 3 - -3. Suppose -2*p = 2*y - 10, 2*y = -a*p + 4*y + 20. Determine k, given that -24*k**2 - 6*k**3 + p*k**4 - 3*k**4 + 15*k**2 = 0.
-1, 0, 3
Let u(l) = 29*l + 177. Let k be u(-6). Factor 6/13*y**2 - 8/13 + 0*y + 2/13*y**k.
2*(y - 1)*(y + 2)**2/13
Let c(p) be the first derivative of p**7/6720 + p**6/2880 - p**5/480 + 13*p**3/3 - 24. Let h(z) be the third derivative of c(z). Factor h(a).
a*(a - 1)*(a + 2)/8
Suppose 0 = k - 2*k - 3*k. Let s be (k/((-6)/(-9)*-6))/1. Factor s - x + 1/2*x**2.
x*(x - 2)/2
Let r be ((-10)/15)/(-2)*30. Let j be (-8)/(-2) - (128/r - 9). Factor 0*y**2 + 0*y - 1/5*y**3 - j*y**5 + 0 - 2/5*y**4.
-y**3*(y + 1)**2/5
Let a(q) be the first derivative of 1 + 2/5*q**5 + 4*q**3 + 0*q + 0*q**2 + 5/2*q**4. Let a(j) = 0. What is j?
-3, -2, 0
Let g(p) be the third derivative of p**4/24 + p**3/6 - 41*p**2. Let k(m) = -5*m**2 + 17*m - 3. Let s(r) = -3*g(r) - k(r). Factor s(l).
5*l*(l - 4)
Let d(t) be the first derivative of 2*t**5/15 - t**4/6 - 10*t**3/9 - t**2 - 909. Determine k so that d(k) = 0.
-1, 0, 3
Suppose 6*f = 7*f - 7. Factor 10*m - 13*m**2 + f*m**2 + 0 + 4.
-2*(m - 2)*(3*m + 1)
Factor -2/11*g**2 - 13448/11 + 328/11*g.
-2*(g - 82)**2/11
Let j be 1/9*(84/(-8) - -5 - -10). Factor -1/4*n**2 - 1/8*n**5 - j*n**4 - 5/8*n**3 + 0*n + 0.
-n**2*(n + 1)**2*(n + 2)/8
Determine r so that 10*r + 5*r + 2*r**3 + 6*r**2 + 2 - 9*r = 0.
-1
Let d(j) = -8*j**2 - 3*j + 5. Suppose p - 4*a = -28, -3*p + 3*a - 25 - 14 = 0. Let l(i) = -12*i**2 - 4*i + 8. Let r(h) = p*d(h) + 5*l(h). Factor r(c).
4*c*(c + 1)
Suppose -8*d + 6*d - i = -10, 0 = -4*d + i + 26. Let g(b) be the first derivative of 10/3*b**3 - 35/4*b**4 + d - 10*b + 35/2*b**2. Factor g(h).
-5*(h - 1)*(h + 1)*(7*h - 2)
Let y(c) be the third derivative of c**8/5040 + c**7/1260 + c**5/30 + 23*c**2. Let m(j) be the third derivative of y(j). Factor m(k).
4*k*(k + 1)
Let u(b) be the first derivative of b**6/30 - 4*b**5/25 - 11*b**4/20 - 2*b**3/5 - 106. Solve u(m) = 0.
-1, 0, 6
Let f(r) be the first derivative of 23 + 0*r**2 + 1/3*r + 0*r**4 - 2/9*r**3 + 1/15*r**5. Determine v so that f(v) = 0.
-1, 1
Let m(b) = 2*b**2 + 45*b - 239. Let j be m(-27). Solve 7*i**5 + 0 - 16/5*i**2 - 9/5*i**3 + 46/5*i**j + 4/5*i = 0 for i.
-1, 0, 2/7, 2/5
Let x = 3098 - 3096. Find u, given that -4*u - 1/3*u**x - 12 = 0.
-6
Let w(l) = 35*l - 10. Let h be w(9). Suppose -2*b + 1232 = 2*b + 4*g, -2*g - h = -b. Factor -2*k - 313*k**2 + b*k**2 - 2*k**4 + 3*k**4 - 3*k**4 - 6*k**3.
-2*k*(k + 1)**3
Let g be 1*(16/12 + 8/12). Let t(r) = -r**3 - 3*r**2 - 4*r - 2. Let f be t(-2). Determine u, given that -f*u + 10/3*u**g - 4/3 = 0.
-2/5, 1
Let m = 11/65 + 3/13. Let v(h) be the first derivative of 1/15*h**3 + 3/5*h + m*h**2 - 3. Find t such that v(t) = 0.
-3, -1
Suppose 6 - 10 = -2*h. Factor 14*n**h - n**3 + 5*n**3 + 8*n - 26*n**2.
4*n*(n - 2)*(n - 1)
Let w(l) = 2 - 6*l**2 - l + 7*l**2 - 1. Let o(x) = -x**3 - 2*x**2 - 4*x. Let q(u) = o(u) - w(u). Find z, given that q(z) = 0.
-1
Let l(n) be the second derivative of n**5/50 - n**4/15 - n**3/5 - 104*n. Let l(w) = 0. Calculate w.
-1, 0, 3
Suppose -y = 5*a - 13, -a + 5*a + y = 11. Suppose a*t - 1 = 3. Factor 3*l + 3*l**2 + l**t - 13*l**2.
-3*l*(3*l - 1)
Suppose 0 = 5*f + 2*f. Let w(j) be the third derivative of 8*j**2 + 1/150*j**5 + 1/600*j**6 - 4/15*j**3 + 0*j + f - 1/30*j**4. Factor w(h).
(h - 2)*(h + 2)**2/5
Let c be 31/11 - (-26)/143. Let n be (3/c)/(1/11). Let -8*h**2 - 6 + 2*h + h + n*h**2 = 0. Calculate h.
-2, 1
Suppose 10 + 5 = -5*i + 2*k, 4*k = 4*i + 12. Let u = 5 + i. Suppose -2*y**4 - 2*y**4 - 64 - 12*y**u - 22*y + 16*y**3 + 80 + 6*y = 0. Calculate y.
-1, 1, 2
Suppose -5*m - k - 43 = 0, 2*k + 14 = -3*m - 9. Let q = 14 + m. Find j such that q - 2 + 2*j**2 + 5 + 8*j = 0.
-2
Let j be (-2)/(-8)*-9*8/(-6). Let p(c) be the first derivative of 0*c + 9/5*c**5 - c**j + 0*c**2 + 5 + 3/2*c**4. Factor p(h).
3*h**2*(h + 1)*(3*h - 1)
Let w(s) be the third derivative of 16*s**6/105 + 88*s**5/105 + 5*s**4/4 + 6*s**3/7 + 64*s**2. Factor w(k).
2*(k + 2)*(8*k + 3)**2/7
Let o(t) = -t**3 + 9*t**2 - 2*t - 46. Let g be o(8). Factor 32/15 + 2/15*q**g + 16/15*q.
2*(q + 4)**2/15
Factor 2/7*o**3 + 0*o**2 - 12/7 - 2*o.
2*(o - 3)*(o + 1)*(o + 2)/7
Let h(n) be the first derivative of -29 + 2/5*n**4 + 0*n**3 + 1/15*n**6 + 0*n**2 + 0*n + 8/25*n**5. Factor h(a).
2*a**3*(a + 2)**2/5
Let m(g) be the first derivative of -2/9*g + 2/27*g**3 - 1/9*g**2 - 7 + 1/18*g**4. Factor m(z).
2*(z - 1)*(z + 1)**2/9
Let u = -19 - -29. Let v = u - 7. Let 0 + 2/3*h**4 + 0*h - 2/3*h**2 + 0*h**v = 0. Calculate h.
-1, 0, 1
Factor -16*y**2 - 3*y**3 + y**3 + 4*y**3 + 2*y**5 - 4*y**3 + 2*y**4 + 14*y**2.
2*y**2*(y - 1)*(y + 1)**2
Let y(o) be the second derivative of 16/15*o**3 - 14*o + 0 + 32/5*o**2 + 1/15*o**4. Let y(s) = 0. What is s?
-4
Let a be 198/27*18/(-2). Let x be (-10 + 4)/a*(2 + 0). Factor 4/11*t**3 - 4/11*t + x - 2/11*t**2.
2*(t - 1)*(t + 1)*(2*t - 1)/11
Suppose 8*w - 63 = 15*w. Let m be (w/(-18))/(4/18). Find f, given that 1 + 3*f + m*f**2 = 0.
-2/3
Let s(k) = 2*k**2 - 22*k + 2. Let t be s(11). Factor 6*y - 2*y**2 - 8*y**2 - 11*y**t + 19*y**2.
-2*y*(y - 3)
Let v(s) be the second derivative of -s**7/189 - 4*s**6/135 - s**5/18 - s**4/27 + 25*s + 1. Factor v(d).
-2*d**2*(d + 1)**2*(d + 2)/9
Let s(o) = o**4 + o**3 - 2*o + 1. L