e of -b**9/6048 - b**8/560 - b**7/336 + 31*b**3/3 + 14. Let n(c) be the third derivative of t(c). Factor n(u).
-u**3*(u + 1)*(u + 5)/2
Let s(h) be the first derivative of h**6/3 - 2*h**5 + h**4 + 16*h**3/3 + 33. Factor s(z).
2*z**2*(z - 4)*(z - 2)*(z + 1)
Let g be (-3512)/(-24) - (-4)/(-3). Let v = g + -65. Factor 5*o**3 - 2*o**3 + 6*o**2 + 80 - v.
3*o**2*(o + 2)
Let u(m) be the second derivative of 0*m**2 + 0 - 1/18*m**4 - 4*m - 1/9*m**3. Determine p so that u(p) = 0.
-1, 0
Let i(t) = -t**2 + 2*t - 1. Let m(q) = -q**2 - 48*q + 104. Let f(n) = 4*i(n) + m(n). Solve f(a) = 0.
-10, 2
Let b be 1*(-16)/(-28)*(30 + -23). Find c such that -1/4*c**b + 0 + 0*c + 1/8*c**3 + 1/8*c**5 + 0*c**2 = 0.
0, 1
Factor -28 - 13*i**2 - 11*i**2 - 17*i**2 + 37*i**2 + 32*i.
-4*(i - 7)*(i - 1)
Factor -27 + 43 + 20 + l**2 - 2*l**2.
-(l - 6)*(l + 6)
Let z(n) = -n**3 + 17*n**2 - 5*n. Let l be z(7). Let 20 + l*y - 5*y**2 - 215*y - 225*y = 0. Calculate y.
-1, 4
Let t = 26 + -26. Suppose -y - 5*u + 28 = t, 2*y = -2*y - 5*u + 82. What is j in 0*j**5 + y + 18*j**4 + 14*j**2 + 66*j + 78*j**2 + 2*j**5 + 60*j**3 = 0?
-3, -1
Let t(m) = -5*m**2 + 3*m - 10. Let k(s) = -s**2 + 2*s - 1. Let h(x) = 12*k(x) - 3*t(x). Factor h(n).
3*(n + 2)*(n + 3)
Let o be ((-2)/(20 + 0))/(108/(-8)). Let z(n) be the third derivative of -1/540*n**6 + 0*n**3 + 0 - 1/108*n**4 - 5*n**2 + 0*n - o*n**5. Factor z(p).
-2*p*(p + 1)**2/9
Suppose -48*i + 3*i**5 + 36*i**3 + 3837*i**2 - 28*i**4 + 7*i**4 - 3825*i**2 = 0. What is i?
-1, 0, 2, 4
Suppose -237*n - 69 = -260*n. Let -3*g**2 - g**5 + 1/3*g**4 + 2/3*g + 0 + n*g**3 = 0. What is g?
-2, 0, 1/3, 1
Let v(x) be the second derivative of 0 + 1/7*x**2 + 1/140*x**5 - 1/14*x**3 - x + 0*x**4. Solve v(k) = 0 for k.
-2, 1
Let z(t) be the second derivative of -t**6/15 + 9*t**5/5 - 14*t**4 + 152*t**3/3 - 96*t**2 + 8*t - 5. Find w such that z(w) = 0.
2, 12
Let u(a) = a**3 - 4*a**2 + 7*a - 28. Let k be u(4). Solve k + 0*b - 48/5*b**3 + 21/5*b**4 + 12/5*b**2 = 0.
0, 2/7, 2
Let p(m) be the second derivative of 4/15*m**3 - 1/30*m**4 + 0 + 5*m + 0*m**2. Suppose p(a) = 0. What is a?
0, 4
Let n(o) = 3*o + 10. Let p be n(-8). Let d = p + 57/4. Factor -d*a**2 + 0 - 1/2*a**3 + 0*a - 1/4*a**4.
-a**2*(a + 1)**2/4
Solve -1900*l**2 - 51*l**3 + 43*l**3 + 180 - 44 - 104*l**3 + 76*l = 0.
-17, -1/4, 2/7
Suppose 3*a + a = 5*h - 148, 10 = -5*a. Factor -13*v**4 + 9*v**4 - 32*v**5 + 32*v**2 - h*v**4 + v + 16*v**3 + 13*v + 2.
-2*(v - 1)*(2*v + 1)**4
Factor 2*u**4 + 2/5*u**2 - 12/5*u**3 + 0 + 0*u.
2*u**2*(u - 1)*(5*u - 1)/5
Let f(y) be the second derivative of -y**7/63 + 2*y**6/45 - y**5/30 + 836*y. Factor f(m).
-2*m**3*(m - 1)**2/3
Let c(n) = 42*n**2 - 62*n + 20. Let t = -62 + 54. Let z(k) = -14*k**2 + 21*k - 7. Let f(d) = t*z(d) - 3*c(d). Factor f(x).
-2*(x - 1)*(7*x - 2)
Let y(q) be the first derivative of -5*q**5/4 - 5*q**4/16 + 175*q**3/12 + 185*q**2/8 + 15*q/2 - 17. Find u, given that y(u) = 0.
-2, -1, -1/5, 3
Let m(l) = l**2 - l - 6. Let j be m(3). Suppose j = -126*p + 131*p - 15. Factor -2/7*i**2 + 1/7*i + 0 + 1/7*i**p.
i*(i - 1)**2/7
Suppose -5*f + 13 + 2 = 0. Let v(m) be the second derivative of 0 - 1/30*m**5 + 1/18*m**f + 0*m**2 + 7*m + 1/126*m**7 + 0*m**4 + 0*m**6. Factor v(o).
o*(o - 1)**2*(o + 1)**2/3
Let t be 20/(-14) + (-9628)/(-6720). Let f(c) be the third derivative of 0*c**3 - 1/96*c**4 + t*c**5 + 12*c**2 + 0*c + 0. Factor f(g).
g*(g - 1)/4
Let f = -19640/3 + 6548. Determine p so that -f*p**3 + 13/3*p**2 - 11/3*p + 2/3 = 0.
1/4, 1, 2
Let w(k) be the first derivative of -12*k**5/5 - 4*k**4 + 20*k**3/3 + 4*k**2 + 54. Factor w(a).
-4*a*(a - 1)*(a + 2)*(3*a + 1)
Let m(q) = 3*q - 2*q - 2*q. Let g be m(-5). Factor -275*d**3 + g*d + 125*d**4 - 49*d - 280*d**2 - 16*d.
5*d*(d - 3)*(5*d + 2)**2
Let k(t) = 2*t**2 + 3*t - 12. Let r be k(2). Factor 0 - 1/2*n**5 + 0*n**r + 0*n + n**3 - 1/2*n**4.
-n**3*(n - 1)*(n + 2)/2
Find n, given that 17*n - 6*n**2 + 454 - 105*n + 18*n**3 - 17*n**3 + 186 - 8*n = 0.
-10, 8
Let l(z) = 6*z - 40. Let b be l(7). Let k be 3/(20/(-16) + b). Find d such that -16/13*d**2 + 6/13*d**5 + 0 + 2/13*d**3 + 16/13*d**k - 8/13*d = 0.
-2, -1, -2/3, 0, 1
Let n(v) be the third derivative of -v**7/42 + v**6/24 + 17*v**5/6 - 40*v**4/3 - 80*v**3 + 330*v**2. Factor n(z).
-5*(z - 4)**2*(z + 1)*(z + 6)
Let i(x) be the second derivative of 3*x**5/100 + 9*x**4/20 - 162*x**2/5 + 280*x. Factor i(j).
3*(j - 3)*(j + 6)**2/5
Let u be (-52)/18 - 356/(-89). Factor -25/9 - 1/9*a**2 - u*a.
-(a + 5)**2/9
Let q(l) = 26*l**2 - 388*l - 28. Let p be q(15). Factor -18/7*a**3 + 8/7 + 2*a**p + 40/7*a.
-2*(a - 2)*(a + 1)*(9*a + 2)/7
Let l(m) be the third derivative of 1/15*m**3 + 0 - 10*m**2 + 1/600*m**5 + 1/60*m**4 + 0*m. Suppose l(j) = 0. Calculate j.
-2
Suppose -6*i + 2*i - u = 5, 0 = u + 5. Let x(j) be the third derivative of 0*j + 5*j**2 - 1/840*j**7 + 0*j**3 + i*j**4 + 0*j**5 - 1/480*j**6 + 0. Factor x(k).
-k**3*(k + 1)/4
Solve 3/4*u**3 - 9 + 15/4*u + 9/2*u**2 = 0.
-4, -3, 1
Let n(p) be the second derivative of 0*p**2 + 0 + 1/3*p**4 - 2*p**3 + p. Let n(t) = 0. What is t?
0, 3
Solve -112*q**3 + 5*q**5 + 3*q**4 + 343*q**3 - 110*q**3 - 111*q**3 - 18*q**4 = 0.
0, 1, 2
Find q such that 2/11*q**2 - 156/11 - 14*q = 0.
-1, 78
Suppose 9/4*i + 0 + 51/8*i**2 + 15/8*i**3 = 0. What is i?
-3, -2/5, 0
Let i(l) be the third derivative of l**6/60 + 7*l**5/5 + 40*l**4 + 800*l**3/3 - 76*l**2. Let i(y) = 0. Calculate y.
-20, -2
Let a(c) be the third derivative of 0*c**3 - 27*c**2 + 0 + 1/160*c**5 + 0*c - 3/16*c**4. Find t such that a(t) = 0.
0, 12
Let l be -1 + 8 - (-5 - -6). Let t be 5/3 + 2/l. Factor -b**2 - 9*b**t + 14*b**2 - 32*b + 64.
4*(b - 4)**2
Let z(n) be the third derivative of 59/60*n**6 + 1/112*n**8 + 31/210*n**7 + 33/10*n**5 + 9/2*n**3 - 15*n**2 + 45/8*n**4 + 0 + 0*n. Factor z(m).
(m + 1)*(m + 3)**3*(3*m + 1)
Let z(f) be the third derivative of 0 + 0*f**3 - 1/20*f**5 + 1/40*f**6 - 9*f**2 - 1/112*f**8 + 0*f**4 + 1/70*f**7 + 0*f. Let z(l) = 0. What is l?
-1, 0, 1
Let -56 + 200*b + 8*b**2 - 9*b**2 - 13*b**2 = 0. What is b?
2/7, 14
Let w(a) be the first derivative of a**6/24 - 2*a**5/5 + 7*a**4/16 - 162. Find d such that w(d) = 0.
0, 1, 7
Let v(x) be the third derivative of 0*x**3 + 1/40*x**5 + 1/24*x**4 + 0*x + 1/240*x**6 + 0 + 11*x**2. Factor v(y).
y*(y + 1)*(y + 2)/2
Let q(g) = -g**5 - g**4 - g**3 - g**2 - 1. Let b(h) = 11*h**5 + 13*h**4 - 67*h**3 - 87*h**2 - 18*h + 3. Let x(l) = b(l) + 3*q(l). Solve x(f) = 0 for f.
-3, -1, -1/4, 0, 3
Let o = 885 - 881. Let k(a) be the first derivative of 0*a + 0*a**2 + a**o + 8 - 4/3*a**3. Determine b so that k(b) = 0.
0, 1
Let m = 23 - 14. Suppose -u = 2*s, -5*u + m = -3*u - 5*s. Suppose f**2 + 4*f**u - 2*f**2 = 0. Calculate f.
0
Suppose -1/2*y**2 - 1/4*y**3 + 1/4*y**4 + 1/8*y + 1/8*y**5 + 1/4 = 0. Calculate y.
-2, -1, 1
Let 1/2*d**2 + 7/4*d + 1 - 1/4*d**3 = 0. What is d?
-1, 4
Let f(x) = x**4 + x**3 - x**2 - x - 1. Let c(y) = 9*y**4 + y**3 + 4*y**2 - 4*y - 24. Let n(m) = -5*c(m) + 40*f(m). Determine s so that n(s) = 0.
-1, 2, 4
Factor -20*a**2 + 0*a + 19*a**2 + 13*a.
-a*(a - 13)
Let q(z) = -z**3 - z**2 - 2*z + 1. Let k(r) = 11*r**3 - 4*r**2 + 7*r + 4. Let u(s) = k(s) + 6*q(s). Factor u(i).
5*(i - 2)*(i - 1)*(i + 1)
Find b such that 8*b + 60*b**3 + 0*b - 8 - 34*b**3 - 28*b**3 + 2*b**2 = 0.
-2, 1, 2
Let i(d) be the second derivative of -2*d**6/15 - 2*d**5/5 + d**4 + 16*d**3/3 + 8*d**2 + 27*d - 5. Determine a so that i(a) = 0.
-2, -1, 2
Let f(z) be the first derivative of 13*z**3 - 63*z**2/2 + 30*z + 11. Let q(x) = x**3 + 40*x**2 - 63*x + 30. Let t(j) = 4*f(j) - 3*q(j). Factor t(a).
-3*(a - 10)*(a - 1)**2
Let u(i) be the third derivative of -i**5/450 - i**4/6 - 5*i**3 - 7*i**2 + 3*i. Let u(y) = 0. Calculate y.
-15
Let p = 10 - 26/3. Let z = -871/3 + 293. Suppose p*f**2 + z*f - 2/3*f**3 - 16/3 = 0. Calculate f.
-2, 2
Let m(a) be the first derivative of -1/4*a**4 + 0*a + 1/18*a**6 + 0*a**2 + 0*a**5 + 2/9*a**3 - 19. Factor m(g).
g**2*(g - 1)**2*(g + 2)/3
Let q be ((-2)/33)/(13/(-156)*4). Factor q*j - 4/11 + 2/11*j**2.
2*(j - 1)*(j + 2)/11
Let r(h) be the second derivative of -h**5/10 - 10*h**4/3 - 128*h**3/3 - 256*h**2 - 4*h + 1. Suppose r(m) = 0. Calculate m.
-8, -4
Let x be 384258/(-770) + (-4)/(-10). Let n = x - -499. Determine p, given that -n*p - 2/11 + 4/11*p**3 +