9*a**2 - 5*a**2 = 0.
-4, 0, 2/3
Let t(n) be the first derivative of -n**3/3 - 3*n**2/2 + 2*n - 6. Let d be t(-3). Factor -y - d*y - y**2 - y + 5*y.
-y*(y - 1)
Let j = 7754 - 7754. Factor -1/8*v + j + 1/8*v**3 + 0*v**2.
v*(v - 1)*(v + 1)/8
Let w(g) be the second derivative of -g**5/4 - 5*g**4/12 + 25*g**3/6 - 15*g**2/2 + 2*g + 19. Factor w(a).
-5*(a - 1)**2*(a + 3)
Let k = -30 - -38. Let n be 6/k*(6/(-18) - -1). Determine h so that n*h**3 - 3/2*h**2 + 3/2*h - 1/2 = 0.
1
Let t(x) be the third derivative of -x**6/360 + 5*x**5/18 + 135*x**2. Find r, given that t(r) = 0.
0, 50
Let p(l) = -l**5 - 31*l**4 - 31*l**3 - 15*l**2. Let g(h) = -h**5 - 15*h**4 - 15*h**3 - 7*h**2. Let j(y) = -7*g(y) + 3*p(y). Factor j(u).
4*u**2*(u + 1)**3
Let c(z) be the second derivative of z**5/150 - z**4/90 - z**3/9 - z**2/5 + 8*z - 2. Find j such that c(j) = 0.
-1, 3
Let f be (-6)/6 + 3/(6/20). Let h be 10/(-45) - (-20)/f. Factor 1/4*o**h + 0*o + 0.
o**2/4
Let b(o) = -4*o**2 + 50*o - 4. Let u(z) = 7*z**2 - 51*z + 6. Let r(q) = -3*b(q) - 2*u(q). Determine d, given that r(d) = 0.
-24, 0
Let u(a) be the third derivative of -a**6/180 + a**5/10 - 2*a**4/9 + 670*a**2. Factor u(t).
-2*t*(t - 8)*(t - 1)/3
Let y(s) = s**2 - 14*s + 8. Let c be y(8). Let i be (60/c)/((-6)/16). Solve -20*l**4 - 2*l**5 + 2*l**5 - 4*l**3 + i*l**2 - 12*l**5 = 0.
-1, 0, 1/3
Suppose 0 = -g - g. Suppose g = -4*k + 3*d + 7, k + 2*d - 7 - 3 = 0. Factor -17*i**2 + k*i**4 + 0*i**4 + 13*i**2.
4*i**2*(i - 1)*(i + 1)
Let r(o) be the first derivative of 6 - 35/3*o**4 - 8/3*o**2 + 0*o + 104/9*o**3 - 98/15*o**5. Suppose r(x) = 0. What is x?
-2, 0, 2/7
Suppose -2 = -v - 2*b - 0, -9 = -2*v + b. Determine c, given that 4*c - 8*c**3 - 4 + 8*c**3 + 3*c**2 - 2*c**3 - c**v = 0.
-2, 1
Let c(q) be the second derivative of 1/180*q**6 + 5*q + 0*q**2 + 0 - 1/60*q**5 - 1/6*q**3 + 0*q**4. Let i(w) be the second derivative of c(w). Factor i(z).
2*z*(z - 1)
Let l = -2/20473 - -40956/102365. Suppose 8/5*p - l*p**2 - 8/5 = 0. Calculate p.
2
Suppose 0 = -g - 3*p - 3, 5*p = -25 + 15. Let i(l) be the first derivative of 1/15*l**g + 2 + 0*l**2 - 1/5*l. Factor i(h).
(h - 1)*(h + 1)/5
Factor -8/3*f + 26/9 - 2/9*f**2.
-2*(f - 1)*(f + 13)/9
Let x = 1884 - 1881. Factor k - 1/3 + 1/3*k**x - k**2.
(k - 1)**3/3
Let z(v) be the second derivative of 0*v**3 - 1/56*v**7 + 1/8*v**4 + 0*v**6 + 20*v + 0*v**2 + 9/80*v**5 + 0. Determine c, given that z(c) = 0.
-1, 0, 2
Suppose 5 = j + 2. Let t be (15/4 - 1)*12. Factor -l - j*l - t - 4*l**2 + 41.
-4*(l - 1)*(l + 2)
Let m be 16/(-18)*(129/(-12) - -10). Suppose -m*d**3 - 32/3 - 16/3*d + 14/3*d**2 = 0. Calculate d.
-1, 4
Let k(b) be the second derivative of -3*b**5/80 + 11*b**4/12 + 5*b**3/8 - 59*b - 3. What is z in k(z) = 0?
-1/3, 0, 15
Let q(u) be the first derivative of 10*u**2 + 0*u**3 - 9*u + 2 - 5/12*u**4. Let z(m) be the first derivative of q(m). Factor z(j).
-5*(j - 2)*(j + 2)
Let r(i) be the second derivative of -i**5/20 + 43*i**4/4 - 1849*i**3/2 + 79507*i**2/2 + 2*i - 31. Factor r(x).
-(x - 43)**3
Let l(o) be the first derivative of -2*o**5/5 + 43*o**4 - 1680*o**3 + 26656*o**2 - 87808*o - 252. Find q, given that l(q) = 0.
2, 28
Let 0 - 5/2*f**3 - 7/2*f**2 - 3/2*f - 1/2*f**4 = 0. Calculate f.
-3, -1, 0
Let a(t) = -t**3 - 2*t**2 + 12*t + 2. Let s(x) = -x**3 - 2*x**2 + 14*x + 3. Let m(q) = 3*a(q) - 2*s(q). Let m(d) = 0. What is d?
-4, 0, 2
Let t(d) be the first derivative of 0*d**3 + 0*d - 2/35*d**5 + 0*d**2 + 21 - 1/14*d**4. Suppose t(z) = 0. What is z?
-1, 0
Let x(y) be the third derivative of y**7/50 - 2*y**6/25 + 11*y**5/100 - y**4/20 + 120*y**2. Find n, given that x(n) = 0.
0, 2/7, 1
Suppose 17*m**4 + 2 - 13*m**4 + 40*m**4 - 36*m**2 - 10 + 52*m**3 - 52*m = 0. What is m?
-1, -2/11, 1
Determine w so that 0 + 0*w**2 + 6*w**3 + 0*w - 2/9*w**4 = 0.
0, 27
Let c(v) be the first derivative of 0*v - 5*v**2 - 34 - 2/3*v**3. Factor c(q).
-2*q*(q + 5)
Let l(d) be the third derivative of -1/84*d**8 + 0*d**3 + 1/3*d**5 + 2/3*d**4 - 26*d**2 - 1/10*d**6 - 2/21*d**7 + 0 + 0*d. Find c such that l(c) = 0.
-4, -1, 0, 1
Let u(d) be the second derivative of -1/3*d**3 + 0*d**2 - 14*d - 1/12*d**4 + 0 + 1/20*d**5. Factor u(w).
w*(w - 2)*(w + 1)
Let m(p) be the first derivative of p**6/720 - p**5/80 + p**4/24 + 25*p**3/3 + 10. Let l(j) be the third derivative of m(j). Factor l(h).
(h - 2)*(h - 1)/2
Let k(p) = -p**2 - 8*p + 36. Let n be k(-11). Factor n - 2*o**5 + 47*o - 10*o**4 + 36*o**2 - 4*o**4 - 20*o**3 + 7*o - 57.
-2*(o - 1)**2*(o + 3)**3
Find n, given that -64/11 + 1/11*n**3 - 20/11*n**2 + 68/11*n = 0.
2, 16
Let w(t) be the second derivative of -21*t + 1/42*t**4 + 4/7*t**2 + 4/21*t**3 + 0. Factor w(y).
2*(y + 2)**2/7
Let v(b) = -10*b**2 - 2*b - 2. Let w(o) = 31*o**2 + 4*o + 8. Let t(u) = 7*v(u) + 2*w(u). Factor t(l).
-2*(l + 1)*(4*l - 1)
Solve -37/3*j**2 + 34/3*j**3 + 4/3 + 8/3*j - 3*j**4 = 0.
-2/9, 1, 2
Factor -56*a - 140 + 84*a - a - a**2.
-(a - 20)*(a - 7)
Let p(a) be the third derivative of -2*a**8/105 - 4*a**7/525 + 2*a**6/75 + a**5/50 - 107*a**2. Solve p(z) = 0.
-1/2, 0, 3/4
Let v be 2/(621/63 - 64/8). What is i in 10/13*i**3 - 10/13*i + 18/13*i**2 - v*i**4 - 4/13 = 0?
-1, -2/7, 1
Suppose -4*a + 4*q - 4 = 0, a = -a + q + 3. Suppose 7*p = a*p. Suppose p + 4/9*c**2 + 0*c - 2/3*c**4 - 2/9*c**3 = 0. Calculate c.
-1, 0, 2/3
Suppose 2*s = -d - 2*s + 36, -d + 4*s = -44. Suppose -d = 5*n - 9*n. What is a in 25*a**2 + n - 10*a**2 + 33*a - 4 = 0?
-2, -1/5
Factor 18*w**2 - 3 + 19/2*w.
(4*w + 3)*(9*w - 2)/2
Let l(z) be the first derivative of -z**9/7560 - z**8/1400 - z**7/700 - z**6/900 - 13*z**3/3 + 17. Let y(x) be the third derivative of l(x). Factor y(q).
-2*q**2*(q + 1)**3/5
Factor 415 - 7*g**2 - g + g**3 - 2*g**2 - 407 + g**2.
(g - 8)*(g - 1)*(g + 1)
Let k(m) be the third derivative of m**6/96 - m**5/15 + m**4/32 - m**2 - 701*m. Factor k(g).
g*(g - 3)*(5*g - 1)/4
Let d(c) = 7*c**4 - 17*c**3 + 29*c**2 - 15*c. Let h(l) = 6*l**4 - 18*l**3 + 30*l**2 - 15*l. Let v(z) = -3*d(z) + 4*h(z). Factor v(g).
3*g*(g - 5)*(g - 1)**2
Let f(p) = -p**3 - p**2 - 2*p - 1. Let w(v) = 9*v**4 + 85*v**3 + 131*v**2 - 114*v + 22. Let h(a) = f(a) + w(a). Factor h(g).
(g + 3)*(g + 7)*(3*g - 1)**2
Let k = -149 - -99. Let w = k + 52. Factor 1/4*f**5 - 1/2*f**w + 1/4 + 1/4*f + 1/4*f**4 - 1/2*f**3.
(f - 1)**2*(f + 1)**3/4
Let m(k) = -k. Let x(p) = 3*p. Let f(a) = 17*m(a) + 6*x(a). Let n(d) = 2*d**2 + 5*d. Let g be (-184)/30 - 22/(-165). Let u(i) = g*f(i) + 2*n(i). Factor u(z).
4*z*(z + 1)
Let g(h) = h**3 - 4*h**2 + 29*h - 29. Let v(u) = -2*u**3 + 6*u**2 - 57*u + 57. Let r(k) = -14*g(k) - 6*v(k). Factor r(f).
-2*(f - 4)**2*(f - 2)
Let l(u) be the third derivative of 1/780*u**6 - 1/156*u**4 + 0*u + 0 + 1/39*u**3 - 1/390*u**5 - 4*u**2. Solve l(t) = 0 for t.
-1, 1
Let d = -20 + 27. Let n(q) = -q**3 + 7*q**2 - q + 7. Let v be n(d). Factor -2*o**2 + v*o**2 - o**2 + 6*o.
-3*o*(o - 2)
Let h(s) be the first derivative of 0*s**3 - 2 - 4*s + 0*s**5 + 0*s**2 + 1/70*s**6 - 1/28*s**4. Let v(k) be the first derivative of h(k). Factor v(m).
3*m**2*(m - 1)*(m + 1)/7
Let d(g) be the second derivative of 3*g**5/100 + 2*g**4/5 + 2*g**3 + 24*g**2/5 + 4*g + 3. Find n such that d(n) = 0.
-4, -2
Let m be 4/14 + ((-15)/35 - (-21033)/378). Find p such that -45*p**4 + 6*p + 0 + 27/2*p**5 + m*p**3 - 30*p**2 = 0.
0, 2/3, 1
Suppose 99*h - 48 = 93*h. Let n(t) be the second derivative of 1/2*t**2 - h*t + 0 + 0*t**3 - 1/12*t**4. Factor n(d).
-(d - 1)*(d + 1)
What is o in -1318801 + 70*o**4 - 39*o**4 + 35970*o**2 - 30*o**4 - 1294700*o + 276392 - 329*o**3 - 288591 = 0?
-1, 110
Suppose 24 = 28*x - 20*x. Let u(j) be the second derivative of -1/6*j**2 + 0 - 1/36*j**4 + 1/9*j**x + 4*j. Find y such that u(y) = 0.
1
Let g = 877/312 - 36/13. Let l(t) be the third derivative of g*t**4 - 1/60*t**5 + 0 + 0*t**3 + 8*t**2 + 0*t. Find r such that l(r) = 0.
0, 1
Let o be 0 + 30/(-2) + 0. Let u = o - -35. Factor -80*n + 4 - 69*n**2 - 31*n**2 - u.
-4*(5*n + 2)**2
Suppose 0 = 504*l - 517*l + 67 - 15. Factor 4/9*x**2 + 0 - 4/9*x**3 + 4/9*x - 4/9*x**l.
-4*x*(x - 1)*(x + 1)**2/9
Suppose -3*i**2 + 12/5 + 3/5*i = 0. What is i?
-4/5, 1
Let i(u) = 3*u**2 + 4*u. Let l be i(-3). Suppose l = 2*x + 3*x. Solve 9*t + 2894*t**4 + 2376*t**2 - 707*t**4 + 3888*t**x + 567*t + 48 = 0 for t.
-2/3, -2/9
Factor -2/3*