d derivative of 0*j**6 + 0*j**3 - 1/112*j**7 + 0*j**2 + 31*j + 0 + 9/160*j**5 - 1/16*j**4. Solve d(m) = 0 for m.
-2, 0, 1
Suppose -u - 2 = -12. Factor u*z - 5 - 26*z**2 + 31*z**2 + 5.
5*z*(z + 2)
Suppose 45 = i + 41. Let x(w) be the second derivative of 0 - 13*w + 5/12*w**i + 0*w**2 + 1/4*w**5 + 0*w**3. Factor x(f).
5*f**2*(f + 1)
Let h = -10615 + 10615. Find z such that 0 + 0*z**3 + h*z + 4/3*z**2 - 4/3*z**4 = 0.
-1, 0, 1
Suppose -25*c + 5996 = 5921. Factor 10/7*d**2 + 2/7*d**c + 16/7*d + 8/7.
2*(d + 1)*(d + 2)**2/7
Suppose 1 = 4*a - 3*m, -3*a - 2*m + 4*m = -2. Let l(v) be the second derivative of -1/18*v**a - 1/3*v**3 - 2/3*v**2 + 0 - 6*v. Factor l(j).
-2*(j + 1)*(j + 2)/3
Let q be 0 - (2 - 3) - (2 - -1). Let n be (1 - -3) + -1 - (q + 3). Factor -4/11*w**n - 2/11*w**5 + 6/11*w - 4/11*w**3 - 2/11 + 6/11*w**4.
-2*(w - 1)**4*(w + 1)/11
Let s = -365 - -4025/11. Factor -2/11*p**3 - 6/11 - s*p**2 - 14/11*p.
-2*(p + 1)**2*(p + 3)/11
Let n = 773 - 767. Let l(m) be the second derivative of 1/3*m**4 + 1/15*m**n + 0 + 4/3*m**3 - 3*m**2 - 2/5*m**5 - 6*m. Factor l(t).
2*(t - 3)*(t - 1)**2*(t + 1)
Let r = -22967/12 + 1914. Let p(j) be the first derivative of r*j**4 - 2/3*j - 1/2*j**2 - 2 + 0*j**3. Factor p(b).
(b - 2)*(b + 1)**2/3
Let b(z) = 8 - 5*z - 6 - 37. Let c be b(-7). Solve c + 4/3*u + 4/3*u**2 = 0.
-1, 0
Let i(q) be the second derivative of 2*q**6/3 + 13*q**5/4 + 55*q**4/12 + 5*q**3/3 + q + 3. Find n such that i(n) = 0.
-2, -1, -1/4, 0
Let r = -3060 - -12101/4. Let u = 35 + r. Factor 0*x**2 + 0 + 0*x**3 - u*x**4 + 0*x - 1/4*x**5.
-x**4*(x + 1)/4
Suppose -6*x = -10*x. Let a(h) = 4*h + 3. Let n be a(x). Determine y, given that 0 - 1/3*y**4 + 0*y**2 + 1/3*y**n + 0*y = 0.
0, 1
Factor 15/2*v + 1/4*v**2 + 29/4.
(v + 1)*(v + 29)/4
Find b, given that -22/3*b**3 + 8*b + 0 + 32/3*b**2 = 0.
-6/11, 0, 2
Let a(g) = -2*g - 10. Let l be a(-7). What is p in 8*p**2 + 6*p + l*p**5 - 4 - 2*p**4 + p**4 - 3*p**4 - 8*p**3 - 2*p = 0?
-1, 1
Let j(a) be the second derivative of -a**5/180 + 5*a**4/54 + 26*a**3/27 + 28*a**2/9 - a + 206. Factor j(f).
-(f - 14)*(f + 2)**2/9
Let s(g) be the first derivative of g**5 - 15*g**4/4 - 70*g**3/3 + 30*g**2 + 200*g - 29. Solve s(j) = 0.
-2, 2, 5
Let v(c) be the second derivative of 6/5*c**2 + 1/100*c**5 + 8/15*c**3 + 0 + 7/60*c**4 - 21*c. Let v(x) = 0. Calculate x.
-3, -2
Let r(o) = o**2 + 11*o - 23. Let x be r(-13). Factor -18*g**x + 28*g**3 - 7*g**3 - 4*g**4 + 32*g + 16*g**2 - 11*g**3.
-4*g*(g - 2)*(g + 2)**2
Let f(d) = -5*d**2 + 10*d + 25. Let v(q) = 2*q**2 - 5*q - 13. Let b = -59 - -54. Let z(t) = b*v(t) - 3*f(t). Factor z(x).
5*(x - 2)*(x + 1)
Suppose -z + 31 = 3*z + 5*t, 5*z - 32 = -4*t. Factor -5*b**5 + 5*b**2 - 52 + 52 + 15*b**z - 15*b**3.
-5*b**2*(b - 1)**3
Suppose 4*i = u + 17, 2*i + 6*u = 2*u + 22. Factor i*n + n + 3 - 6*n**2 - 3*n.
-3*(n - 1)*(2*n + 1)
Suppose -3*j + 8*j = -4*q + 17, 0 = q - 3*j. Let y(a) be the second derivative of -q*a**2 + 5*a - 3/2*a**3 - 1/4*a**4 + 0. Determine n so that y(n) = 0.
-2, -1
Let w(u) = 2*u - 4. Suppose 0 = x + 3*s, -2*x + 3*s + 3 = -6. Let q be w(x). Determine p so that 12*p**4 + 1 - 5 - q - 6*p**2 - 27*p + 27*p**3 = 0.
-2, -1, -1/4, 1
Let p(q) = 4*q**2 + q - 2. Let u be p(1). Let 13*x + 111*x**u - x + 25*x**5 + 338*x**5 + 108*x**2 - 259*x**4 - 335*x**4 = 0. What is x?
-2/11, 0, 1
Let -1/6*q**5 + 26/3*q**2 + 0 - 5/3*q**4 - 3/2*q**3 - 16/3*q = 0. What is q?
-8, -4, 0, 1
Let d(y) be the second derivative of -2/9*y**3 - 2*y + 1/60*y**5 + 4/3*y**2 + 0 - 1/18*y**4. Suppose d(v) = 0. Calculate v.
-2, 2
Let u = 79944/519805 + 2/39985. Factor -2/13*j - 4/13*j**2 + 4/13 + u*j**3.
2*(j - 2)*(j - 1)*(j + 1)/13
Let y(w) = -w**2 + 8*w - 13. Let c be y(5). Suppose 4*u**4 - 8*u**c + 1 - u + 4*u**5 - 8*u**3 + 3 + 0*u + 5*u = 0. What is u?
-1, 1
Let k = 16 - 46/3. Let i(r) be the first derivative of -1/9*r**3 - 1/2*r**2 - k*r + 8. Factor i(x).
-(x + 1)*(x + 2)/3
Let k be -2 + 2 + 1 + -2. Let p be (576/(-15))/(k/5). Factor -3*i**2 - 189*i**3 + i + 7*i**2 + p*i**3.
i*(i + 1)*(3*i + 1)
Let u be -2*(-2)/(-6) - 87/(-126). Let s(a) be the second derivative of -u*a**7 + 0*a**4 + 0 + 0*a**2 + 4*a + 0*a**3 + 1/30*a**6 + 0*a**5. Factor s(y).
-y**4*(y - 1)
Factor 0*m + 3*m**5 + 7*m - 9*m**2 - 25*m + 8*m + 9*m**4 + 3*m**3 + 4*m.
3*m*(m - 1)*(m + 1)**2*(m + 2)
Let r(h) be the third derivative of -h**6/135 + 16*h**5/135 - 77*h**4/108 + 49*h**3/27 + 15*h**2 - 2*h. Solve r(a) = 0.
1, 7/2
Let b(r) be the third derivative of -r**8/672 + 19*r**7/420 - 7*r**6/15 + 37*r**5/15 - 23*r**4/3 + 44*r**3/3 - 8*r**2 + 7. What is j in b(j) = 0?
2, 11
Let d(c) be the second derivative of -1/2*c**3 + 1/5*c**2 + 0 - 1/30*c**4 + 3/20*c**5 + 3*c. What is p in d(p) = 0?
-1, 2/15, 1
Let p(z) = 4*z - 3*z + 1 - z + z**2. Suppose a = 2*a + 3. Let w(o) = -7*o**2 - 6*o - 5. Let t(l) = a*p(l) - w(l). Factor t(d).
2*(d + 1)*(2*d + 1)
Factor 8*m - 63 + 16 - 8*m**2 + 15 + 17 + 13.
-2*(2*m - 1)**2
Let j(q) be the first derivative of 9*q**5/5 - 12*q**4 + 21*q**3 + 546. Determine v so that j(v) = 0.
0, 7/3, 3
Factor 1/3*n**2 + 3468 + 68*n.
(n + 102)**2/3
Let v(u) be the third derivative of 14*u**2 + 0*u + 0 - 1/490*u**7 + 1/35*u**5 + 0*u**6 + 0*u**3 + 0*u**4. Let v(j) = 0. Calculate j.
-2, 0, 2
Suppose 10 = 5*s - 0*w - 5*w, -2*w + 5 = s. Let m be (s/(-45))/(5/(-45)). Factor 3/5*l**3 + 0 - 1/5*l**4 + 1/5*l - m*l**2.
-l*(l - 1)**3/5
Let o be 14/56 - 57/4. Let t = o + 16. Solve -2*w**3 + 3*w + 3*w + 6 - t = 0 for w.
-1, 2
Let j = -911/2 - -467. Let y = j - 103/10. Factor -y + 2/5*z**2 + 4/5*z.
2*(z - 1)*(z + 3)/5
Let t = 73/54 - -4/27. Let c(m) be the second derivative of -1/4*m**4 + t*m**3 - 3*m**2 + 0 - 11*m. Factor c(s).
-3*(s - 2)*(s - 1)
Let m = 40 - 30. Factor -12 + 3*j**3 + m*j**2 - 22*j**2 + 6*j**2 - 21*j.
3*(j - 4)*(j + 1)**2
Let s(k) be the first derivative of 0*k - 2/15*k**5 + 2/3*k**3 + 2/3*k**2 + 0*k**4 - 48. Solve s(z) = 0.
-1, 0, 2
Let j(z) be the first derivative of z**6/1620 + z**5/135 + z**4/36 + 7*z**3/3 - 9. Let s(b) be the third derivative of j(b). Let s(c) = 0. What is c?
-3, -1
Let g(l) be the second derivative of l**6/72 + 3*l**5/4 + 135*l**4/8 - 9*l**3/2 + 20*l. Let o(d) be the second derivative of g(d). Factor o(s).
5*(s + 9)**2
Let 18*h**2 + 15/4*h**5 + 3/2*h**3 - 9/2 - 27/2*h**4 - 21/4*h = 0. What is h?
-1, -2/5, 1, 3
Let y = -1460/7 - -209. Let h = -16 + 16. Factor 1/7*q**2 + h - y*q.
q*(q - 3)/7
Let r be (1 - 3/3)/1. Suppose 6*g + 2*l - 8 = 3*g, 5*g + 12 = 3*l. Solve r*v + 2/7*v**2 + g = 0.
0
Let q be 0 - -3 - (1 + (-1 - -3)). What is s in 0*s - 8/5*s**3 - 4*s**5 + 0*s**2 + q + 28/5*s**4 = 0?
0, 2/5, 1
Let h = 43 + -40. Factor -4*i**3 + i**4 + 6*i**h - 9*i + 3*i**2 + 3*i**3 + 0*i**2.
i*(i - 1)*(i + 3)**2
Let f(w) be the third derivative of -w**9/20160 - w**8/2240 + w**6/60 - w**5/4 + 4*w**2. Let u(x) be the third derivative of f(x). Factor u(r).
-3*(r - 1)*(r + 2)**2
Let t(l) be the first derivative of -l**6/6 + 6*l**5/5 - 2*l**4 - 2*l**3 + 9*l**2/2 - 81. Factor t(n).
-n*(n - 3)**2*(n - 1)*(n + 1)
Let d(n) be the first derivative of 2*n**5/15 - 4*n**4/3 + 128*n**2/3 - 512*n/3 - 61. Find t such that d(t) = 0.
-4, 4
Let r(h) be the third derivative of h**8/168 + h**7/35 + h**6/30 + 10*h**2 - 2*h. Find s such that r(s) = 0.
-2, -1, 0
Suppose -257*g + 35 = 3*b - 261*g, 3*g - 5 = -4*b. Factor f**4 + 25/7*f**2 + 16/7*f + 19/7*f**3 + 1/7*f**b + 4/7.
(f + 1)**3*(f + 2)**2/7
Let l(x) = -9*x - 24. Let o be l(-3). Suppose 2 = -o*d + q, -4 = -4*d + 10*q - 12*q. Factor 0*m**2 + 12/5*m**3 + d + 84/5*m**4 + 0*m + 147/5*m**5.
3*m**3*(7*m + 2)**2/5
Factor -u**3 + 0*u**2 - 1/4*u**5 + 0*u + 0 + u**4.
-u**3*(u - 2)**2/4
Let p(o) = -19*o + 1. Let c be p(-1). Suppose -23*f = -c*f - 6. Factor 2/3*u**4 + 0 + 2/3*u - 2/3*u**3 - 2/3*u**f.
2*u*(u - 1)**2*(u + 1)/3
Suppose -6*u = u - 21. Let p be 0/(5/u + (-3)/(-9)). Find t, given that p*t**2 + 6/13*t + 4/13 - 2/13*t**3 = 0.
-1, 2
Determine d so that 405*d**3 + 40*d**5 - 72*d**4 + 29*d**4 + 80*d + 440*d**2 - 247*d**4 = 0.
-1/2, -1/4, 0, 4
Let d(q) be the second derivative of -q**6/225 - q**5/25 - 13*q**4/90 - 4*q**3/15 - 4*q**2/15 - 159*q. Determine f, given that d(f) = 0.
-2, -1
Let c(r) = -r**2 + 51*r + 41. Let f = 31 + -29. Let g(a) = 10*a + 8. Let w(t) = f*c(t) - 11*g(t). Factor w(o).
-2*(o + 1)*