e third derivative of d**8/211680 - d**7/4410 + d**6/210 + d**5/3 + 8*d**2. Let h(r) be the third derivative of v(r). Factor h(q).
2*(q - 6)**2/21
Let m be ((-12)/(-150))/(4/40). Solve -6/5*l - m - 2/5*l**2 = 0 for l.
-2, -1
Factor -2/7*x**4 + 216/7*x - 180/7*x**2 + 34/7*x**3 + 432/7.
-2*(x - 6)**3*(x + 1)/7
Let l = 175354/31315 - -2/6263. Determine f so that 52/5*f**3 + 92/5*f**4 - 76/5*f**2 - 16*f + l*f**5 - 16/5 = 0.
-2, -1, -2/7, 1
Factor -21/4*y**3 - 4635*y + 627/2*y**2 - 1350.
-3*(y - 30)**2*(7*y + 2)/4
Let c = -3607 - -39679/11. Find y, given that 2/11*y**3 - 6/11 + 6/11*y**2 - c*y = 0.
-3, -1, 1
Let s = 12929 + -90311/7. Determine r so that s + 3/7*r**2 - 48/7*r = 0.
8
Let z(a) be the first derivative of -9/5*a - 1/5*a**3 + 8 + 6/5*a**2. Factor z(n).
-3*(n - 3)*(n - 1)/5
Let w = 10 + -39. Let d = 29 + w. Determine z so that -2/5*z**3 + 4/5*z**2 - 2/5*z**4 + 0 + d*z = 0.
-2, 0, 1
Solve 4/5*r + 0 - 1/5*r**4 + 4/5*r**2 - 1/5*r**3 = 0.
-2, -1, 0, 2
Let d be (-1)/(-1*(-4)/(-12)). Find u, given that -u**d - 14 - u**2 + 14 = 0.
-1, 0
Let m(q) be the second derivative of 5*q**7/84 + 5*q**6/4 - 4*q - 30. Factor m(a).
5*a**4*(a + 15)/2
Let l be (-112)/(-28) + 1/(-1) + 2. Let u be -2*(l + 164/(-32)). What is m in 0 - 1/4*m**2 + 0*m + 3/4*m**3 - 3/4*m**4 + u*m**5 = 0?
0, 1
Let d(v) = v - 7. Let h be d(13). Let o be (15/h)/5*564. Find n, given that 16 - 48*n**3 + o*n**2 - 104*n - 22*n**3 - 94*n**2 = 0.
2/7, 2/5, 2
Let n(o) = -5*o + 3. Let r be n(3). Let a = r + 16. Factor 8*g**2 - 65*g + 2*g**5 - 6*g**5 - a*g**4 + 61*g - 4 + 8*g**3.
-4*(g - 1)**2*(g + 1)**3
Let f(s) be the first derivative of 4*s + 0*s**2 - 2 + 1/66*s**4 + 0*s**3. Let o(x) be the first derivative of f(x). Factor o(p).
2*p**2/11
Suppose 18/7*t**2 - 2/7*t**5 - 30/7*t**3 + 0*t + 0 + 2*t**4 = 0. Calculate t.
0, 1, 3
Suppose -5*h - 5*y + 1516 = -44, 5*h + 3*y = 1554. Solve 18*q**2 - 27*q + 306*q**3 - h*q**3 + 0*q = 0 for q.
0, 3
Factor -1/5*a**3 - 12/5 - 4/5*a + 7/5*a**2.
-(a - 6)*(a - 2)*(a + 1)/5
Let c(x) be the first derivative of -x**3/2 + 12*x**2 + 51*x/2 + 208. Solve c(r) = 0.
-1, 17
Let n(v) = v + 5. Let w be n(-3). Factor -349*a + a**2 - w - a**4 - 1 + 3*a**2 + 2*a**3 + 347*a.
-(a - 3)*(a - 1)*(a + 1)**2
Let i(s) be the third derivative of 1/20*s**6 - 3/10*s**5 + 0*s + s**4 + 10*s**2 - 1/280*s**7 - 2*s**3 + 0. Factor i(n).
-3*(n - 2)**4/4
Suppose 27 = 5*s + 12. Suppose -y + 9 = 2*y. Suppose -y*u**2 - 4*u**2 + 1 + s*u**2 + 3*u**2 + u - u**3 = 0. What is u?
-1, 1
Factor 45 + 6*f + 1/5*f**2.
(f + 15)**2/5
Let q(s) be the second derivative of -6*s - 1/120*s**5 + 0 + 0*s**4 + 1/12*s**3 - 5/2*s**2. Let u(a) be the first derivative of q(a). Factor u(b).
-(b - 1)*(b + 1)/2
Let a(o) be the second derivative of -o**8/36960 - o**7/4620 + o**5/165 - 3*o**4/4 + 7*o. Let r(w) be the third derivative of a(w). Factor r(z).
-2*(z - 1)*(z + 2)**2/11
Suppose 3*c + 18 = 3*z, z + 0*z = -2*c. Let u = -2 + 4. Factor -6*q**3 + 5*q**u - 4*q**2 + 6*q**z - 2*q**5 + q**2.
-2*q**2*(q - 1)**3
Suppose -f - 41 = 87. Let n be f/(-66) + (-15)/(135/6). Factor -n*u**3 - 4/11*u + 18/11*u**2 + 0.
-2*u*(u - 1)*(7*u - 2)/11
Let k(o) be the second derivative of o**5/15 - o**4/3 - 26*o**2 - 16*o. Let w(x) be the first derivative of k(x). Suppose w(p) = 0. What is p?
0, 2
Let v = 27/34 + -5/17. Let y(h) be the second derivative of 1/14*h**7 + 1/2*h**4 + 0 + 0*h**5 + 9*h - v*h**3 + 0*h**2 - 1/5*h**6. Let y(r) = 0. What is r?
-1, 0, 1
Factor 57/4*r**2 - 1/4*r**3 + 6859/4 - 1083/4*r.
-(r - 19)**3/4
Let j(t) = 7*t**2 - 7*t - 32. Let p(v) = -15*v**2 + 15*v + 65. Let c = 9 - 7. Let x(i) = c*p(i) + 5*j(i). Determine n, given that x(n) = 0.
-2, 3
Let o = 1009 + -1009. Let t(j) be the first derivative of 0*j**3 + o*j**2 + 6 - 3/4*j**4 + 0*j. Factor t(d).
-3*d**3
Let i(n) = -7*n**3 + 11*n**2 - 4*n. Let m be 1/1 - (0 - (-6)/(-2)). Let d(y) = -3*y**3 + 6*y**2 - 3*y. Let z(l) = m*i(l) - 9*d(l). Factor z(t).
-t*(t - 1)*(t + 11)
Let j(o) be the first derivative of -o**5/120 - o**4/24 + 7*o**2 - 8. Let t(b) be the second derivative of j(b). What is h in t(h) = 0?
-2, 0
Let i(l) be the second derivative of -1/10*l**2 + 0 - 7/60*l**3 - 5*l + 3/40*l**4. Determine a so that i(a) = 0.
-2/9, 1
Suppose 0 = -4*a - 3*n - 11, -n + 4 = -2*a - 3*n. Let z(f) = -f**2 - 8*f. Let p(y) = -6*y - y**2 + 0*y**2 + 2*y. Let v(w) = a*p(w) + 3*z(w). Factor v(k).
2*k*(k - 2)
Let b = -694 + 2777/4. Let g(u) be the second derivative of 27/2*u**2 - 3*u**3 + 0 + 7*u + b*u**4. Let g(h) = 0. What is h?
3
Let 113*j**3 - 6*j + 4*j**2 + 109*j**3 - 220*j**3 = 0. What is j?
-3, 0, 1
Let r(t) be the third derivative of 0 + 1/210*t**6 + 0*t**3 + 2/245*t**7 + 3*t + 7*t**2 - 1/21*t**4 + 1/588*t**8 - 1/35*t**5. What is c in r(c) = 0?
-2, -1, 0, 1
Let v = 3 - 17/7. Suppose 2087*k - 2081*k = 12. Suppose -2/7*f + v*f**k + 2/7*f**3 - 4/7 = 0. Calculate f.
-2, -1, 1
Let p(o) = -70*o**4 - 275*o**3 - 267*o**2 - 74*o + 10. Let k(h) = h**4 - 2*h**3 + h**2 - 2*h + 2. Let x(m) = -5*k(m) + p(m). What is v in x(v) = 0?
-8/5, -1/3, 0
Let l(a) be the first derivative of -1/4*a**3 + a + 11 - 1/20*a**5 - 5/8*a**2 + 5/16*a**4. Factor l(h).
-(h - 4)*(h - 1)**2*(h + 1)/4
Let g(u) = 12*u - 12. Let y be g(-6). Let j be (y/8)/(-7)*2. Factor 72 + 4*c**3 + 156*c + 36*c**2 + 3*c**3 + 5*c**j + 44*c**2.
4*(c + 3)**2*(3*c + 2)
Let k(r) be the second derivative of -1/3*r**4 + 1/6*r**5 - 3/2*r**2 + 0 - 1/3*r**3 + r. Let a(h) be the first derivative of k(h). Factor a(f).
2*(f - 1)*(5*f + 1)
Suppose 5*g + 5 = 15. Factor 2*s + 2*s**2 + 0*s**g + 179 - 183.
2*(s - 1)*(s + 2)
Let h(x) = x**4 - 17*x**3 + 39*x**2 + 32*x - 55. Let f(j) = -8*j**3 + 20*j**2 + 16*j - 28. Let u(l) = -9*f(l) + 4*h(l). Find w such that u(w) = 0.
-2, 1, 2
Suppose w + 1 = 5*m - 2, -w = 5*m - 27. Factor 3*t + t**5 - 11*t - 12*t**4 + w*t**2 + 4*t**3 + 3*t**5.
4*t*(t - 2)*(t - 1)**2*(t + 1)
Let w(t) = t**3 - 5*t**2 + 13*t - 9. Let z be w(3). Suppose -3*q - 5 = 2*p, -5*p - z = q - 19. Find s such that -2/3*s**4 - 2/3*s**p - 2*s**3 + 2*s + 4/3 = 0.
-2, -1, 1
Let r(b) be the second derivative of 1/70*b**5 + b + 0 - 4/21*b**3 + 4/105*b**6 - 8/21*b**4 + 0*b**2. Determine k, given that r(k) = 0.
-2, -1/4, 0, 2
Let q(t) = 8 - t**3 - 3*t**2 - 6 + 2*t**2. Let k be q(-2). Factor -k + 1 + 2 - 2*r + 2*r**2 + 1 + 2*r**3.
2*(r - 1)*(r + 1)**2
Factor 1/7*a**2 - 3/7*a + 0.
a*(a - 3)/7
Let v = -476/29 - -1933/116. What is q in -v*q**2 + 1/4*q + 1/4 - 1/4*q**3 = 0?
-1, 1
Let d(t) be the second derivative of -t**7/147 + t**6/21 - 3*t**5/35 - 2*t**4/21 + 8*t**3/21 - 278*t. Determine w, given that d(w) = 0.
-1, 0, 2
Factor 15*u**2 - 30 - 7*u**4 + 2*u**4 + 14*u**3 + u**3 + 2120*u - 2155*u.
-5*(u - 3)*(u - 2)*(u + 1)**2
Let r(h) = h - 9. Let p be r(-1). Let s be 5/(-3)*(47/p + 2). Find d, given that -6*d**4 - 3 + 3/2*d + 9*d**2 - 6*d**3 + s*d**5 = 0.
-1, -2/3, 1
Solve 71*l**3 - 402*l**2 + 120*l - 149*l + 6*l**4 + 80*l**3 - 84 + 403*l - 45*l**3 = 0 for l.
-21, 1/3, 1, 2
Let y = 47808 - 334636/7. Suppose -2/7*m**3 + 5/7*m**4 + 0 + 8/7*m - y*m**2 = 0. What is m?
-2, 0, 2/5, 2
Suppose 19*l - 231 = -193. Let v(w) be the third derivative of 0*w - 1/8*w**3 + 1/24*w**4 - 1/240*w**5 + 3*w**l + 0. Let v(y) = 0. What is y?
1, 3
Let f be 0*(-2 + (-7)/(-3)). Suppose f = 4*s - 5*g + 20, -2*s + 3*g = -7*s + 12. Determine y so that 0 + s*y**2 + 2/9*y**3 - 2/9*y = 0.
-1, 0, 1
Let k(x) be the first derivative of -x**8/6720 + x**7/1120 - x**6/720 - 34*x**3/3 - 35. Let n(c) be the third derivative of k(c). Factor n(a).
-a**2*(a - 2)*(a - 1)/4
Let m(x) = x**2 + x + 7. Let n be m(5). Let l = n + -34. Solve 8/7 + 4/7*r + 8/7*r**l - 20/7*r**2 = 0.
-1/2, 1, 2
Let s(t) be the first derivative of t**5/20 - t**3 - 2*t**2 - 580. Factor s(c).
c*(c - 4)*(c + 2)**2/4
Suppose -112 = 143*z - 159*z. Let g(q) be the first derivative of 8 + 4*q**2 - z*q**4 + 0*q + 20/3*q**3. Factor g(x).
-4*x*(x - 1)*(7*x + 2)
Suppose -3*a + 2*a + 41 = -4*j, -3*j + 69 = 4*a. Let h(x) = 3*x**2 - 3*x - 13. Let l(b) = -b**2 + b + 4. Let r(y) = a*l(y) + 6*h(y). Factor r(z).
-3*(z - 2)*(z + 1)
Let m = -2556 - -5113/2. Factor 5/2*h**3 - 4*h + 2 + m*h**2 - 1/2*h**4 - 1/2*h**5.
-(h - 1)**3*(h + 2)**2/2
Let i(c) = -14*c**3 - 142*c**2 - 24*c. Let f(t) = -t**3 - 2*t. Let h(x) = 12*f(x) - i(x). Factor h(o).
2*o**2*(o + 71)
Le