)/8)/((-1800)/576). Factor -8/5*m**3 - w - 8/5*m - 12/5*m**2 - 2/5*m**4.
-2*(m + 1)**4/5
Let j = 34 + -25. Factor -10*c - 10 - j*c + 4*c + 5*c**3.
5*(c - 2)*(c + 1)**2
Let v(k) be the second derivative of -k**8/1120 + k**7/1680 + k**6/360 - 5*k**3/3 - 24*k. Let r(d) be the second derivative of v(d). Factor r(b).
-b**2*(b - 1)*(3*b + 2)/2
Let b(s) be the first derivative of s**8/700 - s**7/1400 + 3*s**3 + s**2 - 33. Let v(w) be the third derivative of b(w). Find j such that v(j) = 0.
0, 1/4
Let b(z) = -5*z**2 - 130*z - 847. Let p(n) = 2. Let t(g) = b(g) + p(g). Factor t(a).
-5*(a + 13)**2
Find b, given that -28/5 - 86/5*b - 6/5*b**2 = 0.
-14, -1/3
Let f(w) be the second derivative of w**7/175 + w**6/75 + w**5/150 - w**2 - 2*w. Let n(y) be the first derivative of f(y). Determine j so that n(j) = 0.
-1, -1/3, 0
Let 30*k**4 - 22*k**4 + 39*k + 4*k**5 - 32*k**2 - 12*k**3 - 55*k = 0. Calculate k.
-2, -1, 0, 2
Let b(k) = k + 13. Let h be b(-8). Factor 120*n**2 + 136*n**4 + 37*n**4 + 230*n**3 + 45*n**5 + h*n - 10 - 3*n**4.
5*(n + 1)**4*(9*n - 2)
Factor 0 + 0*x + 2/15*x**3 + 0*x**2 - 4/15*x**5 - 2/15*x**4.
-2*x**3*(x + 1)*(2*x - 1)/15
Let j be (-2)/7*(157/24 - 8). Let z(k) be the second derivative of 0 - 3/4*k**5 - 1/6*k**6 + 5*k**2 - j*k**4 + 5/2*k**3 + 2*k. Solve z(w) = 0 for w.
-2, -1, 1
Suppose 0 = 5*m + 5*u - 10, -108*u = 2*m - 103*u - 4. Suppose 1/2*h - 1 + 1/2*h**m = 0. Calculate h.
-2, 1
Let i(y) be the first derivative of -y**3/15 + 17*y**2/5 - 289*y/5 - 21. Factor i(r).
-(r - 17)**2/5
Let j(s) be the first derivative of -2*s**5/15 - 143*s**4/6 - 4606*s**3/3 - 117077*s**2/3 - 415292*s/3 + 1075. Factor j(h).
-2*(h + 2)*(h + 47)**3/3
Let i be 4/22*112/((-42)/(-3)). Factor -8/11 + 6/11*n**3 + i*n + 2*n**2.
2*(n + 2)**2*(3*n - 1)/11
Let g(v) be the third derivative of -v**7/210 + v**6/10 - 43*v**5/60 + 5*v**4/2 - 14*v**3/3 - v**2 + 93*v. Solve g(l) = 0.
1, 2, 7
Suppose 0 = c - 3, 5 = -k + 3*c. Suppose 0 = 3*u - 2*g + 6, 9 + 3 = 2*u + k*g. Factor 0 - 3/2*m**4 + u*m - 1/4*m**5 - 9/4*m**3 + 0*m**2.
-m**3*(m + 3)**2/4
Let z(t) = 3*t**5 + 7*t**4 - 6*t**3 + 2*t**2 + 11*t + 3. Let c(u) = -2*u**5 - 6*u**4 + 5*u**3 - u**2 - 9*u - 2. Let v(h) = -4*c(h) - 3*z(h). Factor v(o).
-(o - 1)**4*(o + 1)
Let y(u) be the first derivative of -u**6/180 - 2*u**5/15 - 4*u**4/3 - 11*u**3/3 + 1. Let h(j) be the third derivative of y(j). Solve h(g) = 0.
-4
Factor -3*q**2 + 2*q + 119 - 191*q - 225 + 106.
-3*q*(q + 63)
Let f(o) be the third derivative of 0*o + 26*o**2 - 5/11*o**5 - 5/11*o**4 + 25/44*o**6 + 0 + 8/11*o**3. Factor f(t).
6*(5*t - 2)**2*(5*t + 2)/11
Let u be ((-12)/(-9))/(4/12). Let g(v) be the third derivative of 0*v + 0 + 1/40*v**5 - 1/24*v**u - 1/420*v**7 - v**2 + 0*v**3 + 0*v**6. What is f in g(f) = 0?
-2, 0, 1
Let z be 14187/(-42)*(-6 - -8). Let g = z - -677. Factor g*r**2 + 0 + 4/7*r.
2*r*(5*r + 2)/7
Suppose 0 = 2*t + 2 - 6. Let b be (-1)/6 + 19/6. Factor -p**3 + 6*p**t - 2*p - 6 - p + 4*p**b.
3*(p - 1)*(p + 1)*(p + 2)
Let x(h) be the second derivative of -h**6/120 + h**5/20 - h**4/8 + h**3/6 + 7*h**2/2 + 14*h. Let p(y) be the first derivative of x(y). Factor p(n).
-(n - 1)**3
Let k(g) be the second derivative of -1/48*g**4 - 1/16*g**5 + 5/24*g**3 - 19*g - 1/4*g**2 + 0 + 1/40*g**6. Let k(d) = 0. Calculate d.
-1, 2/3, 1
Suppose 0 = -3*u + 9 + 6. Let r be 2/4*(60/u)/2. Let 0 - 2/3*o**4 - 2/3*o + 2/3*o**r + 2/3*o**2 = 0. Calculate o.
-1, 0, 1
Suppose 6 = -3*g + 9. Let j be 231/55 + g/(-5). Suppose 0 + 0*a + 0*a**2 - 2/3*a**3 + 2/3*a**j = 0. What is a?
0, 1
Let n(o) be the first derivative of 0*o + 9 + 3*o**2 - 2*o**5 + 10/3*o**3 - 3/2*o**4. Factor n(d).
-2*d*(d - 1)*(d + 1)*(5*d + 3)
Factor -6/5*i**2 + 2/5*i**3 - 2/5 + 6/5*i.
2*(i - 1)**3/5
Suppose -20*q - 17 = -57. Let w = -23/2 + 12. Factor w*z + 1/2*z**q - 1/2 - 1/2*z**3.
-(z - 1)**2*(z + 1)/2
Let a(d) = -d**2 - d + 1. Let i = 155 + -160. Let u(n) = 4*n**2 - 6*n + 7. Let h(f) = i*a(f) - u(f). Factor h(r).
(r - 1)*(r + 12)
Let j(i) be the second derivative of -3*i**5/14 - 8*i**4/7 - 13*i**3/7 - 6*i**2/7 - 3*i - 3. Factor j(m).
-6*(m + 1)*(m + 2)*(5*m + 1)/7
Suppose o = 6 + 8. Let x = 16 - o. Factor -2*v**2 - 6 + 4*v + 2*v + x*v.
-2*(v - 3)*(v - 1)
Let d(a) be the first derivative of 0*a**2 + 0*a**3 - 8/15*a**5 - 1/6*a**4 + 0*a - 5. Factor d(t).
-2*t**3*(4*t + 1)/3
Let v(z) = -3*z - 12. Let f(o) = o**2 + 16*o - 25. Let n be f(-17). Let g be v(n). Determine y, given that 7 + g*y**2 + 2*y**3 - 11*y - 5*y**3 - 4*y - 1 = 0.
1, 2
Let n(y) = 26*y**3 + 2565*y**2 + 146205*y + 2777906. Let x(t) = -9*t**3 - 855*t**2 - 48735*t - 925969. Let h(d) = 4*n(d) + 11*x(d). Factor h(j).
5*(j + 57)**3
Let p(r) be the first derivative of -r**6/24 - 2*r**5/15 + 19*r**4/24 - r**3 - r**2 + 7. Let j(c) be the second derivative of p(c). Factor j(y).
-(y - 1)*(y + 3)*(5*y - 2)
Let u(p) be the first derivative of -p**3/5 - 153*p**2/5 - 7803*p/5 - 95. Solve u(a) = 0 for a.
-51
Suppose 5*j - 3*d + 62 + 48 = 0, 0 = 2*d - 10. Let x = j - -25. Determine b so that 4 - 2*b**2 - 2*b + 0 + 6*b**2 - x*b = 0.
1
Let p(k) be the third derivative of 0*k**3 + 0 - 1/20*k**5 + 1/8*k**6 + 0*k - 1/2*k**4 - 17*k**2. Let p(h) = 0. What is h?
-4/5, 0, 1
Let d(a) be the first derivative of 2*a**3/9 + a**2/3 - 4*a/3 - 278. Find y, given that d(y) = 0.
-2, 1
Let t be ((-184)/161)/(0 + -4). Factor t*z**4 + 2/7*z**3 + 0*z**2 + 0 + 0*z.
2*z**3*(z + 1)/7
Let b = 1853 - 16669/9. Find t such that 4/9*t**3 + 0*t - b*t**2 + 0 + 4/3*t**4 = 0.
-1, 0, 2/3
Let h(f) be the first derivative of f**6/6 - 2*f**5/5 - 15*f**4/4 + 12*f**3 - 249. Factor h(k).
k**2*(k - 3)**2*(k + 4)
Suppose 44 = -58140*i + 58162*i. Factor 0 + 3/5*h**i + 1/5*h**3 + 2/5*h.
h*(h + 1)*(h + 2)/5
Let r(w) be the first derivative of -w**4 + 8*w**3/3 + 6*w**2 - 367. Find u such that r(u) = 0.
-1, 0, 3
Factor 0 + 26/11*b - 2/11*b**2.
-2*b*(b - 13)/11
Let h(p) = 3*p - 6. Let m be h(4). Suppose -m*g - 7 + 31 = 0. Factor 3*y**4 + 7*y**3 + g - 1 - y**3 - 3*y + 0*y - 6*y**2 - 3*y**5.
-3*(y - 1)**3*(y + 1)**2
Factor -8/3*w - 1/3*w**3 + 2*w**2 + 0.
-w*(w - 4)*(w - 2)/3
Let i(n) be the second derivative of n**4/3 + 32*n**3/3 + 5*n - 3. Find k such that i(k) = 0.
-16, 0
Let m = -47999/120 + 400. Let n(c) be the third derivative of 1/120*c**6 + 0 + 0*c + 0*c**3 - m*c**5 - 1/420*c**7 - 6*c**2 + 0*c**4. Factor n(b).
-b**2*(b - 1)**2/2
Suppose -2*o = -5*a + 7, -2*a + 0*a = -3*o + 17. Let n be 3/(3 + o/(-6)). Solve 33*r**3 - 20*r**n + 2*r**2 - 21*r**4 + 3*r**4 + 3*r = 0 for r.
0, 1/3, 1/2, 1
What is a in -124/3*a - 88/3 + 232/3*a**2 - 20/3*a**3 = 0?
-2/5, 1, 11
Factor 75*c - 33 - 34 + 57 - 35*c**2.
-5*(c - 2)*(7*c - 1)
Let -b**3 - b**2 + 3*b**3 - 23*b + 27*b - 5*b**2 = 0. Calculate b.
0, 1, 2
Factor -64 - 3*a**2 + 28 - a + 25*a.
-3*(a - 6)*(a - 2)
Let o = 139 + -139. Find h such that 0 - 1/5*h**4 + 1/5*h**3 + 1/5*h**2 - 1/5*h**5 + o*h = 0.
-1, 0, 1
Let r(v) be the third derivative of v**6/660 - v**5/165 + v**4/132 - 2*v**2 - 7*v. Factor r(a).
2*a*(a - 1)**2/11
Let d(i) = -4*i + 2. Let z be d(-1). Suppose v + 2*v - 2*v + 5*v**3 - z*v - 5*v**2 + 5 = 0. Calculate v.
-1, 1
Let d(g) be the second derivative of -g**6/1260 - g**5/84 - g**4/21 - 2*g**3 - 24*g. Let f(c) be the second derivative of d(c). Factor f(i).
-2*(i + 1)*(i + 4)/7
Suppose -1/7*q**2 + 1/7*q**4 + 0 + 0*q**3 + 0*q = 0. What is q?
-1, 0, 1
Factor -50/7*u - 26/7 + 2/7*u**3 - 22/7*u**2.
2*(u - 13)*(u + 1)**2/7
Let s(i) = -i**3 - 9*i**2 + 24*i + 25. Let a be s(-11). Let h be a/5 - 3/60*-18. Let -3/4*m**3 + 0 - h*m + 9/4*m**2 = 0. What is m?
0, 1, 2
Let w(x) be the third derivative of 5*x**8/1512 + 22*x**7/945 + 23*x**6/540 + x**5/45 + 19*x**2. Solve w(y) = 0 for y.
-3, -1, -2/5, 0
Let v be ((-15)/12)/(-2 - (-18)/8). Let g be (v - 1) + (-1161)/(-189). Factor g*y + 0 - 1/7*y**2.
-y*(y - 1)/7
Suppose 12*w - 8*w + 280 = 4*a, 0 = -5*w + 2*a - 359. Let f = -291/4 - w. Determine y so that y**3 + 3/2*y**2 + f*y**4 + y + 1/4 = 0.
-1
Suppose -2*g - 27 + 23 = 0. Let b be 46/6 + g - (1 - -4). Suppose 2/9*y**2 + 4/9 + b*y = 0. What is y?
-2, -1
Let w(c) = 8*c. Let s(f) = 16*f. Let q(n) = -6*s(n) + 11*w(n). Let g be q(0). Factor -3/7*d**2 + g - 3/7*d + 3/7*d**3 + 3/7*d**4.
3*d*(d - 1)*(d + 1)**2/7
Let l = 166939/3 + -1682143/30. Let t = 863/2 + l. What is z in 14/5*z**2 - t*z 