rst derivative of p**6/12 - 2*p**5/15 - 7*p**4/12 + 2*p**3 + 37*p**2/2 - 4. Let b(f) be the second derivative of k(f). Factor b(n).
2*(n - 1)**2*(5*n + 6)
Let x(k) be the third derivative of k**7/315 + k**6/108 + k**5/135 - 85*k**2. Factor x(p).
2*p**2*(p + 1)*(3*p + 2)/9
Let b(d) be the first derivative of d**4/4 + 13*d**3/3 + 35*d**2/2 - 49*d - 10. Determine s so that b(s) = 0.
-7, 1
Let t = 3586 - 3584. Factor 0*c + 1/9*c**t + 7/9*c**3 + 0.
c**2*(7*c + 1)/9
Let u(o) be the second derivative of -o**6/315 - 3*o**5/70 - 4*o**4/21 - 20*o**3/63 + 263*o. Factor u(q).
-2*q*(q + 2)**2*(q + 5)/21
Suppose -7*s + 28 - 7 = 0. Let f(d) be the second derivative of 0*d**4 + 0 + 0*d**2 - 1/135*d**6 - d + 1/90*d**5 + 0*d**s. Determine j so that f(j) = 0.
0, 1
Let f(x) be the third derivative of 0*x**3 + 0*x**4 + 0 - 22*x**2 + 0*x + 1/35*x**7 + 1/10*x**5 + 1/6*x**6. Suppose f(t) = 0. What is t?
-3, -1/3, 0
Let t(y) be the second derivative of y - 18 + 5/33*y**3 + 3/11*y**2 - 1/33*y**4. Find v, given that t(v) = 0.
-1/2, 3
Let i = -1052 + 7374/7. Suppose -i*n + 2/7*n**2 + 8/7 = 0. What is n?
1, 4
Let f = 177 - 886/5. Let w = f + 19/20. Solve w*t - 15/4*t**3 + 1/2 - 7/2*t**2 = 0 for t.
-1, -1/3, 2/5
Let b be -1*6/10 + (-406)/(-10). Let -15*c**2 - 13*c - 4 - 3*c**4 + 2*c**4 + b*c**3 - 47*c**3 = 0. What is c?
-4, -1
Factor -j**2 - 3*j**3 - 49*j + 2*j**3 + 0*j**3 + 55*j.
-j*(j - 2)*(j + 3)
Let f(w) be the second derivative of w**6/180 + w**5/90 - w**4/36 - w**3/9 - 9*w**2/2 + 10*w. Let a(x) be the first derivative of f(x). Solve a(z) = 0 for z.
-1, 1
Let v(n) be the third derivative of -n**5/90 - 7*n**4/18 + 5*n**3/3 + 2*n**2 - 9. Factor v(u).
-2*(u - 1)*(u + 15)/3
Let d(t) = t**3 + t**2 - 10*t + 8. Let g(i) = -2*i + 2. Let r(p) = -3*d(p) + 12*g(p). Determine n, given that r(n) = 0.
-2, 0, 1
Suppose -2*g = -5*w - 4*g - 22, 8 = 2*g. Let r be ((-2)/(-27))/(w/180*-5). Factor r + 2/9*m**2 - 2/3*m.
2*(m - 2)*(m - 1)/9
Let v = 1 - -3. Factor v*f**2 + 4*f**3 - f - 5*f**3 - 6*f**2.
-f*(f + 1)**2
Let f(g) be the third derivative of g**6/1440 - g**4/96 - 2*g**3/3 + 18*g**2. Let r(v) be the first derivative of f(v). Determine x so that r(x) = 0.
-1, 1
Suppose -3*a + 6 - 2 = 2*m, -2*m + 4 = -3*a. Factor -x**5 - 14*x**3 + 76*x**m - 3 - 78*x**2 + 12 - 7*x**4 + 15*x.
-(x - 1)*(x + 1)**2*(x + 3)**2
Let x = -187 - -187. Let c(q) be the first derivative of -1/2*q**3 + 0*q - 15/16*q**4 - 1/8*q**6 + x*q**2 - 6 - 3/5*q**5. Factor c(h).
-3*h**2*(h + 1)**2*(h + 2)/4
Let o(n) be the first derivative of -n**8/504 - n**7/315 + n**6/180 + n**5/90 - n**2 - 13. Let m(y) be the second derivative of o(y). Find c such that m(c) = 0.
-1, 0, 1
Let z(d) be the first derivative of -d**4/46 + 42*d**3/23 - 240*d**2/23 + 472*d/23 - 459. Factor z(i).
-2*(i - 59)*(i - 2)**2/23
Suppose 30 = 5*b + 15. Suppose 3*m - 6 = 0, -2*u + 0*m + 5*m = 2. Suppose -4*r**4 - 19*r + 3*r - r**3 - u*r**b + 17*r**3 = 0. What is r?
-1, 0, 2
Let q(f) be the third derivative of 17*f**6/180 + 11*f**5/15 + 5*f**4/3 - 8*f**3/9 + 85*f**2. Determine p so that q(p) = 0.
-2, 2/17
Let n be 10 + -2 - (-8)/4. Suppose -n = -3*x - 2*x. Find r, given that r**3 + 4 + 2*r**x + 0*r**3 - r**2 - 4*r**2 = 0.
-1, 2
Let o(r) be the second derivative of 1/30*r**6 + 3/20*r**5 - r**2 + 0 - 1/2*r**3 + 6*r + 1/12*r**4. Factor o(c).
(c - 1)*(c + 1)**2*(c + 2)
Let v = 2287/34755 - -2/2317. Let c(x) be the second derivative of 0*x**2 + 0*x**5 + 0*x**3 + v*x**6 - 5*x + 0 - 1/6*x**4. Determine u so that c(u) = 0.
-1, 0, 1
Let y = 6681/4 + -1669. Solve y*j**4 - 15/4*j**2 + 5/4*j**3 - 25/4*j - 5/2 = 0 for j.
-1, 2
Factor -207*x**2 + 5*x**5 + 197*x**2 - 15*x**3 - 9*x**4 + 9*x**4.
5*x**2*(x - 2)*(x + 1)**2
Factor -1/7*m**2 + 26/7*m - 169/7.
-(m - 13)**2/7
Let f(i) be the second derivative of 2*i**7/21 - 16*i**6/15 + 3*i**5 + 8*i**4/3 - 32*i**3/3 - 89*i - 1. Factor f(p).
4*p*(p - 4)**2*(p - 1)*(p + 1)
Let 2605/2*m**2 - 37845/2 + 15/2*m**3 + 112665/2*m = 0. What is m?
-87, 1/3
Let t(y) be the second derivative of y**7/70 - 2*y**6/25 + 3*y**5/50 + y**4/5 - 3*y**3/10 + 76*y - 2. Let t(w) = 0. Calculate w.
-1, 0, 1, 3
Let d(p) = 8*p + 150. Let r be d(-18). Let x(n) be the first derivative of -2 - 3*n**5 - r*n + 7*n**3 - 9/4*n**4 + 9/2*n**2. Suppose x(l) = 0. Calculate l.
-1, 2/5, 1
Suppose 18 + 48 + 114 = 45*t. Factor 0 + 0*w - 5/2*w**2 - w**3 - 1/10*w**t.
-w**2*(w + 5)**2/10
Suppose 3*s - 14 = -2*b - 6, -1 = -s + b. Factor 1/4*k**3 - k - 3/4*k**s + 0.
k*(k - 4)*(k + 1)/4
Suppose 31*v - 7245 + 7059 = 0. Let 40/9*w**4 + 20/9*w**2 + v*w**3 + 2/3*w**5 + 0 + 0*w = 0. Calculate w.
-5, -1, -2/3, 0
Let x(u) be the second derivative of u**5/4 + 5*u**4/12 - 25*u**3/6 + 15*u**2/2 - 387*u. Factor x(b).
5*(b - 1)**2*(b + 3)
Let f = -28229/30 + 941. Let s(d) be the third derivative of 1/100*d**6 + 0*d**3 + 0 + 0*d - f*d**4 + 9*d**2 - 1/150*d**5. Suppose s(r) = 0. Calculate r.
-2/3, 0, 1
Suppose -7*a + 32 - 11 = 0. Let u(l) be the second derivative of -14*l + 0 - 3/19*l**2 + 2/57*l**a + 1/114*l**4. Factor u(i).
2*(i - 1)*(i + 3)/19
Let o be 2016/196 - (3/(-1) + 3). Factor 21*a**3 - o*a - 9*a**2 - 12/7.
3*(a - 1)*(7*a + 2)**2/7
Let o(t) be the first derivative of -10*t**3/3 + 10*t - 32. Let r(d) = d**3 - 10*d**2 - d + 10. Let g(a) = 6*o(a) - 5*r(a). Factor g(q).
-5*(q - 1)*(q + 1)*(q + 2)
Let n(j) be the third derivative of j**7/105 - 7*j**6/120 - 7*j**5/30 - 5*j**4/24 + 3*j**2 + 11*j. Solve n(i) = 0 for i.
-1, -1/2, 0, 5
Let f(y) be the third derivative of -y**8/1512 + y**7/189 - y**6/90 - 2*y**5/135 + 2*y**4/27 - 29*y**2 - y. Factor f(g).
-2*g*(g - 2)**3*(g + 1)/9
Let y(l) = 10*l - 7*l + 2*l + 45. Let w be y(-8). Determine t so that -4/5*t**3 + 6/5*t + 2/5 - 2/5*t**w + 4/5*t**2 - 6/5*t**4 = 0.
-1, 1
Let l(m) be the first derivative of 0*m**2 - 2 - 2/9*m**3 + 1/6*m**4 + 0*m. Find z such that l(z) = 0.
0, 1
Let m(i) be the third derivative of 0 - 1/3*i**4 - 2/3*i**3 + 1/15*i**6 + 0*i**5 + 2/105*i**7 + 0*i - 6*i**2. Determine u, given that m(u) = 0.
-1, 1
Let o(d) = -3*d**4 - 8*d**3 + d**2 - 3. Suppose 15 = -5*j - 20. Let g(p) = 6*p**4 + 17*p**3 - 3*p**2 + 7. Let r(s) = j*o(s) - 3*g(s). Factor r(h).
h**2*(h + 1)*(3*h + 2)
Let o(n) = 2*n + 21. Let g be (-1)/(52/(-18) - -3). Let v be o(g). Determine x, given that -9*x**2 - 11*x**3 - 3*x + 14*x**v + 3 + 3*x**4 + 3*x**4 = 0.
-1, 1/2, 1
Let k be 40/12*12/8. Let p = 1 + k. Factor 5*m**2 - p*m**2 + 8*m - 3*m**2 - 4*m.
-4*m*(m - 1)
Let a(i) be the first derivative of -178*i**3/3 + 4*i**2 - 491. Let a(v) = 0. What is v?
0, 4/89
Let h = -39 - -44. Factor -11*t**3 + 4*t**5 + 16 + 28*t**4 + 87*t**3 + 63*t + 100*t**2 + 0*t**h + t.
4*(t + 1)**3*(t + 2)**2
Factor -3/4*k**5 - 1/2*k**3 + 0*k**2 + 0*k + 7/4*k**4 + 0.
-k**3*(k - 2)*(3*k - 1)/4
Let w be (1144/(-312))/((-22)/12). Determine x so that 8/5*x**w + 7/5*x - 1/5 = 0.
-1, 1/8
Suppose 852*g**3 - g + 6*g**2 - 851*g**3 + 6*g = 0. What is g?
-5, -1, 0
Let h = -821/72 + 93/8. Let v be 148/(-814) - 2/(-4)*124/99. Factor h*k**2 + 2/9*k - v.
2*(k - 1)*(k + 2)/9
Let k(w) be the third derivative of 1/21*w**4 + 1/70*w**5 + 0 + 21*w**2 + 0*w**3 + 0*w - 1/420*w**6. Factor k(j).
-2*j*(j - 4)*(j + 1)/7
Find h such that -8/11*h**3 - 76/11*h + 50/11*h**2 + 16/11 = 0.
1/4, 2, 4
Suppose 0 = 3*j - 6*j + 6. Let c(z) = 12*z**2 - 19*z - 24. Let y(b) = 4*b**2 - 6*b - 8. Let h(p) = j*c(p) - 7*y(p). Factor h(g).
-4*(g - 2)*(g + 1)
Let i(p) be the second derivative of 2*p**7/21 + 2*p**6/15 - 11*p**5/5 + 7*p**4/3 + 20*p**3/3 - 16*p**2 - 103*p. Let i(c) = 0. Calculate c.
-4, -1, 1, 2
Factor 21 - 90*x - 36*x**2 + 24*x**2 - 5 - 20*x**3 + 0*x**3 - 4*x**4 + 110*x.
-4*(x - 1)*(x + 1)**2*(x + 4)
Let y be (-74)/(-14) + (-2)/7. Let l be (2/(-5))/((-1)/y). Solve 3*d - 2*d**2 + 2*d**3 - 4*d + l - d = 0.
-1, 1
Let d(t) be the third derivative of 0 + 1/330*t**6 + 9*t**2 - 1/330*t**5 - 1/66*t**4 + 1/1155*t**7 + 0*t**3 + 0*t. Factor d(h).
2*h*(h - 1)*(h + 1)*(h + 2)/11
Let i(v) be the second derivative of 1/2*v**3 + 1/4*v**4 + 0 - 20*v - 3/20*v**5 - 3/2*v**2. Factor i(d).
-3*(d - 1)**2*(d + 1)
Let d = -12 + 18. Solve 22*u**4 + 35*u**4 - 8*u**5 - d*u + 45*u**3 + 3*u**2 + 29*u**5 = 0.
-1, 0, 2/7
Let k(w) = 35*w**4 + 160*w**3 + 25*w**2 - 325*w + 105. Let d(s) = 18*s**4 + 79*s**3 + 12*s**2 - 162*s + 53. Let q(a) = 5*d(a) - 3*k(a). Wh