*u. Let c(x) be the third derivative of t(x). Factor c(n).
4*n**2*(n + 1)*(n + 3)
Suppose -19 = -16*b + 15*b. Find j, given that -11*j**2 - 4*j**2 - 3*j**3 - b*j + j = 0.
-3, -2, 0
Let l(b) be the second derivative of 3*b**5/40 + 4*b**4/3 + 61*b**3/12 - 6*b**2 + 3*b - 47. Factor l(u).
(u + 3)*(u + 8)*(3*u - 1)/2
Determine p, given that 8*p**3 - 423*p + 19 - 173*p - 219 - 388*p**2 = 0.
-1, -1/2, 50
Let c(d) be the third derivative of -37*d**2 + 0*d + 0 + 2/105*d**7 - 1/15*d**5 - 1/12*d**4 + 1/168*d**8 + 0*d**3 + 0*d**6. Factor c(n).
2*n*(n - 1)*(n + 1)**3
Let y be 64/56*77/66. Determine o so that 4/3*o - 4/3*o**2 + 0 + y*o**4 - 4/3*o**3 = 0.
-1, 0, 1
Let m(p) = -p - 7. Let k be m(-9). Factor -13 - 7*d + 7*d - 4*d**k + 17.
-4*(d - 1)*(d + 1)
Let l(u) be the first derivative of u**7/1400 + u**6/600 - u**5/200 - u**4/40 + 22*u**3/3 + 15. Let o(c) be the third derivative of l(c). Solve o(r) = 0 for r.
-1, 1
Let m = -37 - -41. Factor 20*u**2 - 36*u + 15*u**2 - 16*u**3 + 11*u**m + 7*u**2 - 9*u**4.
2*u*(u - 3)**2*(u - 2)
What is c in -70/3 - 1/3*c**2 - 71/3*c = 0?
-70, -1
Let f(w) be the second derivative of 0 + 2/27*w**4 - 1/30*w**5 + 0*w**2 + 1/189*w**7 - 2/135*w**6 - 10*w + 4/27*w**3. Suppose f(z) = 0. Calculate z.
-1, 0, 2
Let r(c) = c**2 + 5*c + 1. Let l(p) = -4*p**2 + 295*p + 1. Let j(h) = l(h) - r(h). Solve j(g) = 0.
0, 58
Let v = -499 + 178144/357. Let a(m) be the second derivative of 1/85*m**6 + 0*m**3 - 12*m + 0 + 0*m**5 + 0*m**2 + v*m**7 + 0*m**4. Solve a(z) = 0 for z.
-3, 0
Let q(g) be the second derivative of -g**7/525 - g**6/300 + g**5/300 - g**3/3 - 43*g. Let j(m) be the second derivative of q(m). Factor j(d).
-2*d*(d + 1)*(4*d - 1)/5
Let q(g) = -5*g**4 - 3*g**3 + 9*g**2 - 4*g + 3. Let y(d) = d**4 + d**3 - d**2 - 1. Let o(c) = q(c) + 3*y(c). Factor o(j).
-2*j*(j - 1)**2*(j + 2)
Let n(h) be the third derivative of -1/6*h**4 + 0*h + 0*h**3 - 7/30*h**5 + 15*h**2 + 0. Find k, given that n(k) = 0.
-2/7, 0
Let w(b) be the third derivative of -b**9/90720 + b**8/10080 + 3*b**5/20 + b**2. Let z(v) be the third derivative of w(v). Factor z(u).
-2*u**2*(u - 3)/3
Let u(z) = -8*z**4 - 23*z**3 - 17*z**2. Let h(c) be the second derivative of 3*c**6/10 + 6*c**5/5 + 4*c**4/3 + 6*c. Let f(q) = -3*h(q) - 4*u(q). Factor f(w).
5*w**2*(w + 2)**2
Find s such that 787308 + s**3 - 5*s + 0*s + s**2 - 787305 = 0.
-3, 1
Let f(g) be the first derivative of 0*g**3 + 0*g**2 - 7*g - 1/12*g**4 - 7 - 1/10*g**5. Let s(p) be the first derivative of f(p). Factor s(u).
-u**2*(2*u + 1)
Let n(u) = 2*u + 10. Let j be n(-3). Let p(d) be the second derivative of 0 + 1/8*d**2 - 1/20*d**5 - 5/24*d**3 + 1/6*d**j - 5*d. Let p(x) = 0. What is x?
1/2, 1
Let m(x) = -x**3 - 2*x - 1. Let k(b) = -5*b**3 - 12*b**2 - 12*b + 17. Let i(z) = -2*k(z) + 6*m(z). Factor i(q).
4*(q - 1)*(q + 2)*(q + 5)
Let w be 0 - 30/(-90)*(-2)/(-80). Let a(m) be the second derivative of 0*m**2 + w*m**5 + 1/180*m**6 + 0*m**4 - m + 0*m**3 + 0. Suppose a(j) = 0. Calculate j.
-1, 0
Suppose -n - 211 = -211. Let q(j) be the second derivative of 4*j - 9/2*j**2 + 7/2*j**3 - 5/4*j**4 + n + 3/20*j**5. Factor q(v).
3*(v - 3)*(v - 1)**2
Let s be 8/5*((-4370)/(-76))/23. Determine x so that -60/7*x + 3*x**5 - 78/7*x**s - 24/7 + 102/7*x**2 + 39/7*x**3 = 0.
-1, -2/7, 1, 2
Let y = 8720 - 8717. Factor -7/2*x + y + 1/2*x**2.
(x - 6)*(x - 1)/2
Let g(u) = -u**2 - 43*u + 54. Let x(k) = -21*k + 27. Suppose 0 = 2*b + b - 45. Suppose 2*y = -3*y - b. Let r(f) = y*g(f) + 7*x(f). Factor r(l).
3*(l - 3)**2
Suppose -k - 4 + 22 = 4*h, 2*k = -3*h + 16. Suppose -2*c - 4 = k*c. Let j(z) = z**2 + z. Let a(g) = 2*g**2 + 17*g + 20. Let p(n) = c*a(n) - 3*j(n). Factor p(l).
-5*(l + 2)**2
Let o(q) be the first derivative of -1/3*q**3 + 0*q**2 - 52 + 0*q. Solve o(n) = 0.
0
Let k = 100 + -36. Find a, given that -16*a - k*a**2 + 12*a**4 - 11*a**5 - 92*a**3 - 68*a**4 - a**5 = 0.
-2, -1, -2/3, 0
Let o(c) = c**3 - 23*c**2 + 20*c + 2. Let z(i) = -i**3 - i**2 + i + 1. Let f(a) = o(a) - 2*z(a). Determine d so that f(d) = 0.
0, 1, 6
Factor 148/5 + 152/5*y**2 + 298/5*y + 2/5*y**3.
2*(y + 1)**2*(y + 74)/5
Let w(g) = g**2 + 4*g - 8. Let i(m) = -3*m**2 - 11*m + 23. Let s(n) = -n + 18. Let j be s(14). Let r(p) = j*i(p) + 11*w(p). Determine q, given that r(q) = 0.
-2, 2
Suppose 0*c - 4*b = -4*c + 8, -5*b + 14 = 3*c. Let 28*f - 8 - 164*f**2 - 6*f**3 + 23*f + 17*f + 252*f**4 + 18*f**c = 0. What is f?
-1, 2/7, 1/3
Let v(s) = -23*s**4 - 12*s**3 - 6*s**2 + 12*s + 5. Let k(u) = -3*u**4 - u**3 - u**2 + u + 1. Let w(d) = -24*k(d) + 3*v(d). Factor w(n).
3*(n - 3)*(n - 1)**2*(n + 1)
Let s = 30 - 28. Suppose -23*b**2 + b + 52*b**s + 2 - 30*b**2 = 0. Calculate b.
-1, 2
Let t(k) be the second derivative of -k**4/30 + 13*k**3/15 - 2*k - 130. Find c, given that t(c) = 0.
0, 13
Let x be 10 + 1 - ((-3)/3 + 4). Suppose 7*w = x*w. Suppose -1/3*n**2 + w + 2/3*n = 0. Calculate n.
0, 2
Factor 640/3*w + 722/3*w**2 + 2/3*w**5 + 46/3*w**4 + 326/3*w**3 + 200/3.
2*(w + 1)**3*(w + 10)**2/3
Let a = -47 - -45. Let j be ((-12)/60)/(a/15). What is p in -3*p - 3/4 + 9/4*p**4 + 3*p**3 - j*p**2 = 0?
-1, -1/3, 1
Let p(z) = z**2 + 19*z - 1630. Let u be p(-51). Factor -128/7 - 32/7*c - 2/7*c**u.
-2*(c + 8)**2/7
Let o(f) = -3*f**3 + 71*f**2 - 163*f - 600. Let u(p) = -p**3 + 24*p**2 - 54*p - 200. Let y(v) = -6*o(v) + 17*u(v). Factor y(n).
(n - 10)**2*(n + 2)
Factor -27/4*s**3 + 18*s**2 - 69/4*s + 45/8 + 3/8*s**4.
3*(s - 15)*(s - 1)**3/8
Let x be (-4)/(-6) - 52/(-3). Let h be (16/(-3))/((-3)/x). Find k such that -5*k**2 - 55*k + 81 + 136*k + h*k**2 + 3*k**3 = 0.
-3
Let p(a) be the third derivative of a**8/1680 - a**7/525 + a**6/600 + 19*a**2 - a. Let p(k) = 0. What is k?
0, 1
Suppose -26*i - 32 = -30*i. Let g be i/(-33)*36/(-24). Factor -4/11*a + 2/11*a**4 + g*a**3 + 0*a**2 - 2/11.
2*(a - 1)*(a + 1)**3/11
Let k(a) be the first derivative of 1/20*a**5 - 3/2*a**2 + 0*a + 2 + 0*a**3 - 1/4*a**4. Let y(x) be the second derivative of k(x). Find j such that y(j) = 0.
0, 2
Let p(w) be the second derivative of 1/147*w**7 + 5*w + 1/105*w**6 + 1/14*w**4 + 0*w**2 + 0 - 1/14*w**5 + 0*w**3. Suppose p(i) = 0. What is i?
-3, 0, 1
Let l(f) be the third derivative of f**6/1020 - f**5/51 + 7*f**4/51 - 8*f**3/17 + 501*f**2. Factor l(y).
2*(y - 6)*(y - 2)**2/17
Let u(r) be the second derivative of r**6/300 + r**5/150 - 4*r**2 - 4*r. Let v(t) be the first derivative of u(t). Factor v(i).
2*i**2*(i + 1)/5
Factor v**3 - 10 + 5*v - 6*v**3 + 10*v**2 + 6 - 6.
-5*(v - 2)*(v - 1)*(v + 1)
Suppose 8*i - 3*i = i. Determine p, given that 2*p + i*p - 14*p**3 - 3*p**4 + 5*p**2 + 10*p**3 = 0.
-2, -1/3, 0, 1
Let i(m) = 15*m - 240. Let n be i(16). Let z(t) be the first derivative of n*t**3 + 0*t - 1/4*t**4 + 3 + 1/2*t**2. Suppose z(w) = 0. What is w?
-1, 0, 1
Let z(j) be the first derivative of -13/18*j**3 + 1/3*j**2 + 11/24*j**4 - 1/15*j**5 + 0*j - 11. Factor z(w).
-w*(w - 4)*(w - 1)*(2*w - 1)/6
Let m be 658/(-6) - (28/12 + -3). Let k = m - -112. Factor 8/5*j**2 + 4/5*j**k - 32/5 - 16/5*j.
4*(j - 2)*(j + 2)**2/5
Factor 16/15 - 2/15*v**4 + 2/3*v**3 - 4/5*v**2 - 8/15*v.
-2*(v - 2)**3*(v + 1)/15
Let w be (-6)/(-36) + 146/30 - 5. Let z(y) be the second derivative of 0*y**5 + 0*y**2 + 1/3*y**3 - y + 0 - 1/4*y**4 + w*y**6. Solve z(t) = 0.
-2, 0, 1
Let p(x) be the third derivative of -x**7/42 - 7*x**6/24 - 3*x**5/2 - 25*x**4/6 - 20*x**3/3 - 340*x**2. What is t in p(t) = 0?
-2, -1
Let s = 27 + -27. Let c be (-6)/(6 + s) + (-2)/(-2). Suppose -2/3*r + c - 2/9*r**3 - 8/9*r**2 = 0. What is r?
-3, -1, 0
Let l(g) = 2*g**2 + 4*g - 2. Let d(y) = -y - 1. Let a(f) = -2*d(f) + l(f). Factor a(q).
2*q*(q + 3)
Let c(n) be the first derivative of -n**4/12 - 64*n**3/9 - 512*n**2/3 - 471. Factor c(y).
-y*(y + 32)**2/3
Let r(i) be the second derivative of -5*i**4/42 + 19*i**3/7 - 22*i**2/7 - 77*i. Factor r(b).
-2*(b - 11)*(5*b - 2)/7
Let -1/2*c**2 + 2 + 0*c = 0. Calculate c.
-2, 2
What is i in -4/3 + 50/9*i - 22/9*i**2 = 0?
3/11, 2
Factor 4/7*k - 2/7*k**2 + 6/7.
-2*(k - 3)*(k + 1)/7
Suppose h - 5*j + 1472 = 1486, -4*h = -4*j - 40. Find f, given that -54/5 + 48/5*f**2 + 3/5*f**5 - 18/5*f**4 + 18/5*f**3 - h*f = 0.
-1, 2, 3
Let o(l) = -l**3 - 5*l**2 + 5*l + 23. Let m be o(-5). Let d be 36/(-27)*3/m. Solve -48/5 + 168/5*t - 147/5*t**d = 0.
4/7
Let f(d) = -7*d**2 - 494*