(o - 1)**3*(o + 1)
Let i(k) be the second derivative of -11*k + 0*k**3 + 0 - 1/3*k**4 + 0*k**2. Factor i(f).
-4*f**2
Let w(j) = -11 + 48 + 290*j**2 - 287*j**2 - 55*j + 11. Let q(i) = 2*i**2 - 55*i + 47. Let h(b) = -2*q(b) + 3*w(b). Factor h(m).
5*(m - 10)*(m - 1)
Let s(j) be the first derivative of -j**4/2 - 22*j**3/3 + 97*j**2 - 170*j - 377. Determine r, given that s(r) = 0.
-17, 1, 5
Let n(c) = -c**2 - 4*c + 1. Let i(t) = -t**2 - 5*t + 1. Let a(r) = -4*i(r) + 5*n(r). Let k be a(-1). Factor -1/2*s**3 - 3/2*s**2 + k - s.
-s*(s + 1)*(s + 2)/2
Suppose -2*p + 4*p = 6. Factor 0*a**2 + a - p*a**2 + 6 + 3 + 5*a.
-3*(a - 3)*(a + 1)
Let t(l) = -15*l - 1. Let g be t(-1). Let n = g + -14. Factor 1/3*b**2 - 1/3*b + n.
b*(b - 1)/3
Let r(h) be the third derivative of h**6/60 - h**5/15 + 20*h**2 + h. Factor r(p).
2*p**2*(p - 2)
Let g = -285 - -290. Let m(b) be the first derivative of 3/2*b**2 + 0*b - 3/4*b**4 - b**3 + 4 + 3/5*b**g. Factor m(t).
3*t*(t - 1)**2*(t + 1)
Factor 10 + 98/5*i**2 + 28*i.
2*(7*i + 5)**2/5
Let u(d) be the third derivative of -d**5/420 - d**4/21 + 10*d**3/21 - 3*d**2 - 5. Factor u(m).
-(m - 2)*(m + 10)/7
Let t = -14 - -8. Let o = t + 10. Factor -4*m + 0*m - 4*m - o + 4*m - m**2.
-(m + 2)**2
Let t(z) = z**2 - 5*z - 3. Let v = 20 - 14. Let o be t(v). Determine m, given that o*m**2 - 13 - 4*m**2 - 24*m + 61 + 4*m**2 = 0.
4
Let d be (1 + -2)*(-15 - -12) + -25. Let m be 2 + 0 + 40/d. Factor -2/11*s**4 - m - 2/11*s**5 + 4/11*s**3 - 2/11*s + 4/11*s**2.
-2*(s - 1)**2*(s + 1)**3/11
Factor -1/2*r**2 - 1/2 - r.
-(r + 1)**2/2
Let i be (-4)/30*3 - (-240)/100. Let q(b) be the second derivative of -7/18*b**3 - 1/3*b**i + 9*b + 7/60*b**5 + 1/18*b**4 + 0. Solve q(j) = 0 for j.
-1, -2/7, 1
Let z = -54713/5 - -10943. Factor z*u**2 + 0 - 4/15*u.
2*u*(3*u - 2)/15
Let i(n) be the first derivative of n**6/2 - 3*n**5/5 - 9*n**4/4 + 5*n**3 - 3*n**2 - 298. Factor i(v).
3*v*(v - 1)**3*(v + 2)
Let x(s) be the second derivative of s**8/16800 - s**7/1575 - 11*s**4/12 - 2*s. Let n(o) be the third derivative of x(o). Determine d so that n(d) = 0.
0, 4
Let d be -4 + (6 + 3 - 2). Factor 90/7*a**d + 48/7*a**2 + 0 + 8/7*a + 50/7*a**4.
2*a*(a + 1)*(5*a + 2)**2/7
Let l(k) be the second derivative of -k**5/15 - 5*k**4/6 + 4*k**3 + 11*k**2/2 + 21*k. Let g(q) be the first derivative of l(q). Find d such that g(d) = 0.
-6, 1
Let k be -1 + (5 - (1 + -2)). Let a(d) = -2*d**2 - 29*d - 58. Let w be a(-12). Factor -15*z**2 - k*z + 7*z**2 + 5*z**w + z + z**3.
z*(z - 4)*(z + 1)
Let z(v) be the third derivative of 1/160*v**6 - 1/560*v**7 + 0*v - 1/4*v**3 + 3*v**2 - 1/16*v**4 + 3/160*v**5 + 0. Factor z(b).
-3*(b - 2)**2*(b + 1)**2/8
Let a be 290/315 + (16/(-18))/(-4). Factor 2/7*c + 8/7*c**3 - a*c**2 + 0.
2*c*(2*c - 1)**2/7
Let g(u) = 3*u**2 - 5*u. Let b(q) = 0*q**2 + 5*q**2 - 5 + 5 - 10*q. Let k(a) = -2*b(a) + 5*g(a). Determine v, given that k(v) = 0.
0, 1
Let r(k) be the third derivative of -k**8/336 - k**7/105 + k**6/40 + k**5/15 - k**4/6 - 12*k**2 + 3. Solve r(s) = 0 for s.
-2, 0, 1
Let z(h) = -3*h**3 - 13*h**2 - 12*h + 23. Let o(r) = -2*r**3 - 6*r**2 - 7*r + 12. Let q(v) = 5*o(v) - 3*z(v). Factor q(f).
-(f - 9)*(f - 1)*(f + 1)
Let g = 736 + -732. Let u(m) be the second derivative of -1/9*m**3 + 0*m**2 + 0 + 8*m + 1/12*m**g - 1/60*m**5. Factor u(t).
-t*(t - 2)*(t - 1)/3
Let b(p) be the first derivative of -p**7/168 + p**6/15 - 9*p**5/40 + 9*p**3/8 + 17*p - 7. Let c(t) be the first derivative of b(t). Solve c(g) = 0 for g.
-1, 0, 3
Let j(c) = -c**2 + 6*c - 6. Let z be j(4). Suppose 32 - 8 = 3*d. Suppose -8*w**z - 16*w**4 - 34*w**3 - 6*w + 2*w + 6*w**3 + d*w = 0. What is w?
-1, 0, 1/4
Let j(g) be the first derivative of g**7/1260 - g**6/540 - g**5/90 + 5*g**3 - 5. Let m(h) be the third derivative of j(h). Factor m(o).
2*o*(o - 2)*(o + 1)/3
Let g(f) be the third derivative of -f**6/180 + 7*f**5/90 + 17*f**4/36 + f**3 - 252*f**2. Find s, given that g(s) = 0.
-1, 9
Suppose -5*a - 20 = 0, -p + 2*a - 3*a = 0. Let -88*d**3 + 54*d**4 + 49*d**2 - 68*d - 22*d**p + 2*d**5 + 16 - 6*d**5 + 63*d**2 = 0. Calculate d.
1, 4
Let r(m) be the first derivative of m**4/14 - 2*m**3/21 - 8*m**2/7 + 24*m/7 + 46. Determine a so that r(a) = 0.
-3, 2
Let z(p) = 4*p**2 - 3*p - 7. Let h be (-5 + 4)*3/12*4. Let r(b) = b + 1. Let m(q) = h*z(q) - 4*r(q). Factor m(y).
-(y + 1)*(4*y - 3)
Let s(k) = -4*k**3 - 185*k**4 + k + 1 - 2*k - 2 + 4*k**5 + 186*k**4 - k**2. Let j(n) = n**5 - n**4 - n**3 + n**2 + n + 1. Let m(y) = -j(y) - s(y). Factor m(c).
-5*c**3*(c - 1)*(c + 1)
Suppose 5*w - 4*h = w + 20, -2*w = -5*h - 19. Suppose y - 45*y**3 - 5*y**5 - 8*y**w + 43*y**2 + 25*y**4 - 11*y = 0. Calculate y.
0, 1, 2
Let h = -6168 - -6171. Factor 0 - 3/5*m - 3/5*m**2 + 3/5*m**h + 3/5*m**4.
3*m*(m - 1)*(m + 1)**2/5
Find s such that 6 + 24 + 25 + 33*s - 2 + 3*s**2 + 1 = 0.
-9, -2
Let z(h) be the first derivative of 9 - 1/45*h**6 + 1/30*h**4 + 0*h + 0*h**2 + 2/75*h**5 - 2/45*h**3. What is s in z(s) = 0?
-1, 0, 1
Suppose -5*g + 18 = -3*h - 6, -5*h = 15. Factor 2*x**4 - x**4 - 3*x**4 + 3*x**4 - 6*x**g + 9*x**2.
x**2*(x - 3)**2
Let s(k) = 2*k**2 + 4. Let c(j) = -j + 1. Suppose -2*w + 9 = q, -5*q - w + 6 = -3. Let h(r) = q*s(r) - 4*c(r). Factor h(v).
2*v*(v + 2)
Let y be 13/(-15) - ((-24)/(-10))/(24/(-12)). Factor 2 + 1/3*z - y*z**2.
-(z - 3)*(z + 2)/3
Let l(r) = 7*r**2 + 13*r + 15. Let c(z) = -8*z**2 - 12*z - 16. Let w(q) = -3*c(q) - 4*l(q). Factor w(v).
-4*(v + 1)*(v + 3)
Factor 78*o - 30*o + 8*o**3 - o**2 + 2*o**2 - o**4 - 25*o - 31*o.
-o*(o - 8)*(o - 1)*(o + 1)
Let n(a) be the third derivative of -a**7/1050 + a**6/150 - a**5/50 + a**4/30 - a**3/30 - 35*a**2 - 2*a. Suppose n(j) = 0. Calculate j.
1
Factor -176/5*m + 4/5*m**2 + 1936/5.
4*(m - 22)**2/5
Let s = 31 + -29. Let n be (-2494)/(-609) + (2 - (-2 + 8)). Factor -2/7 - n*f**s + 2/21*f**3 - 10/21*f.
2*(f - 3)*(f + 1)**2/21
Let l(f) = -6*f**2 - 24*f - 48. Let u(g) be the third derivative of g**5/12 + g**4 + 8*g**3 - 40*g**2. Let k(s) = 2*l(s) + 3*u(s). Factor k(n).
3*(n + 4)**2
Let j be (-50)/55*165/(-105). Factor 0*q**2 - 4/7*q**3 + 0 + 0*q - 6/7*q**5 - j*q**4.
-2*q**3*(q + 1)*(3*q + 2)/7
Let p = 586/5 + -117. Let o(b) be the third derivative of 0*b - 4*b**2 + p*b**5 + b**3 + 5/8*b**4 + 0 + 1/40*b**6. Determine s, given that o(s) = 0.
-2, -1
Suppose 38 = 4*k + p, 2*k + 6*p = 2*p + 12. Let u be -1 - (0 - (-2 - 2) - k). Determine c so that -1/4 - 1/4*c - 1/4*c**4 + 1/2*c**3 - 1/4*c**u + 1/2*c**2 = 0.
-1, 1
Suppose 0 = 43*y - 13*y - 60. Let c(r) be the second derivative of -2*r - 2/15*r**6 + 0 - 2/5*r**5 + 0*r**4 + 4/3*r**3 + 2*r**y. Factor c(t).
-4*(t - 1)*(t + 1)**3
Let s be 3 - 2 - (-1 + (-3 - -2)). Let l be (-4)/18 - (-58)/18. What is y in 10*y**2 - y**2 - 5*y**l + 3*y**4 + 27*y - 10*y**s = 0?
-1, 0, 3
Let t(b) be the second derivative of b**6/50 + 3*b**5/50 - b**4/20 - b**3/5 + 38*b + 1. Determine r, given that t(r) = 0.
-2, -1, 0, 1
Let a(w) be the first derivative of 21*w**5 + 5625/2*w**2 + 3250/3*w**3 + 3125*w - 9 + 425/2*w**4 + 5/6*w**6. Let a(z) = 0. Calculate z.
-5, -1
Suppose 0 = -0*z - 2*z - 5*z. Let c(u) be the second derivative of -1/4*u**4 + 1/10*u**6 + 3/20*u**5 + z - 1/14*u**7 + 0*u**3 + 5*u + 0*u**2. Factor c(a).
-3*a**2*(a - 1)**2*(a + 1)
Solve 0 + 6/13*w**5 - 116/13*w**2 - 46/13*w**3 - 32/13*w + 44/13*w**4 = 0.
-8, -1, -1/3, 0, 2
Let y(p) = 2*p - p - 2 - 4 + 0. Let f be y(8). Suppose 2*b**3 - 2 - 6*b**3 - 4*b**f - 5*b + 3*b**3 = 0. What is b?
-2, -1
Let p be 0/(0 - (0 - 2)). Suppose 20 = 15*w - 25. Factor -71*i**w + p + 2 - 6*i + 6*i**2 + 69*i**3.
-2*(i - 1)**3
Solve 44*q**2 - 55*q - 12*q + 42 - 29*q + 11*q - q**3 = 0.
1, 42
Let h be 238/(-11) + -64 + 86. What is u in 6/11*u + 0*u**2 - h - 2/11*u**3 = 0?
-2, 1
Let f(y) be the second derivative of y + 2/3*y**3 + 0 - 7/3*y**4 + 4*y**2 - 6/5*y**5. Factor f(s).
-4*(s + 1)*(2*s - 1)*(3*s + 2)
Find s such that -33*s**2 + 0*s**3 + 69/4*s**4 + 15/4*s**5 + 12*s + 0 = 0.
-4, -2, 0, 2/5, 1
Let i(a) = 18 + a**2 + 10*a + 5*a + a. Let z be i(-15). Factor -2*x**z - 82 + 82 + 2*x.
-2*x*(x - 1)*(x + 1)
Factor -1/2*f**4 - 2*f + 13/2*f**3 - 15*f**2 + 20.
-(f - 10)*(f - 2)**2*(f + 1)/2
Suppose 0 = 9*t - 8*t. Factor t + 2 - 975*k + 0*k**3 - 3*k**2 + 974*k + k**3 + k**4.
(k - 1)**2*(k + 1)*(k + 2)
Factor -2/15*w**4 - 6/5*w**2 + 8/1