20 + o**6/990 - o**5/660 - o**4/66 - 46*o**3/3 - 35. Let g(d) be the third derivative of p(d). Factor g(m).
2*(m - 1)*(m + 1)*(m + 2)/11
Let j(u) be the first derivative of -2*u**5/5 + u**4 + 26*u**3/3 + 10*u**2 - 104. Factor j(o).
-2*o*(o - 5)*(o + 1)*(o + 2)
Let w(p) be the third derivative of p**6/300 - 23*p**5/150 - 26*p**4/15 - 36*p**3/5 + 325*p**2. Find v such that w(v) = 0.
-2, 27
Let w be 4/7 - 325/91. Let k = w + 5. Factor 4/3*d + 0 + k*d**2 + 2/3*d**3.
2*d*(d + 1)*(d + 2)/3
Let y = 1303/2598 + -2/1299. Factor y*h - 1/4*h**2 + 3/4.
-(h - 3)*(h + 1)/4
Let c = -84 - -193. Let b = c + -323/3. Find z such that 0 + 0*z + b*z**2 - 2/3*z**4 - 2/3*z**3 = 0.
-2, 0, 1
Let h(a) be the first derivative of a**8/3920 + a**7/1960 + 5*a**3 - 3. Let u(l) be the third derivative of h(l). Solve u(g) = 0.
-1, 0
Let z(y) be the third derivative of -1/1848*y**8 + 0*y**4 + 0*y**5 + 0*y - 1/1155*y**7 + 0*y**6 + 0 + 0*y**3 - 2*y**2. Factor z(g).
-2*g**4*(g + 1)/11
Let n(k) be the first derivative of 1/9*k - 1/27*k**3 + 0*k**2 - 10. Determine p, given that n(p) = 0.
-1, 1
Factor -1/5*b**3 - 16/5 - 33/5*b - 18/5*b**2.
-(b + 1)**2*(b + 16)/5
Let k = 33071 + -165352/5. Factor k*i**2 + 3/5*i**3 - 3*i + 9/5.
3*(i - 1)**2*(i + 3)/5
Let n be (-3)/(-4)*48/18. Suppose -6*y + y**2 - 2*y**n - 2*y**2 = 0. Calculate y.
-2, 0
Let y(v) be the first derivative of -2*v**3 + 3/2*v**2 + 0*v - 38. Factor y(i).
-3*i*(2*i - 1)
Let r(v) be the third derivative of -6*v**7/35 - 26*v**6/15 - 11*v**5/5 + 59*v**4/3 - 16*v**3 + 666*v**2. Determine o so that r(o) = 0.
-4, -3, 2/9, 1
Let h = 6369 + -6367. Factor 0*r**h - 2/3*r**4 + 4/9*r**3 + 0*r + 0.
-2*r**3*(3*r - 2)/9
Let d(g) be the third derivative of 0*g - 2/5*g**3 - 3/10*g**4 - 11/100*g**5 + 0 - 1/200*g**6 + 3/350*g**7 + 1/560*g**8 + 5*g**2. Suppose d(i) = 0. What is i?
-2, -1, 2
Let i be 3/(7/6*225/350). Let g(k) be the first derivative of 0*k + 9/20*k**5 - 1/2*k**3 + 1 + 0*k**2 + 3/16*k**i. Factor g(z).
3*z**2*(z + 1)*(3*z - 2)/4
Let y(t) be the second derivative of -21/20*t**5 + 1/2*t**3 - 5*t + 0*t**2 - 2/5*t**6 - 1/2*t**4 + 0. Factor y(l).
-3*l*(l + 1)**2*(4*l - 1)
Determine u, given that 70*u**2 + 27*u + 5 - 35 - 67*u**2 = 0.
-10, 1
Let b = -1 + 9. Let x = 11 - b. Factor v**x + 0*v**5 - v**5 + 0*v**5.
-v**3*(v - 1)*(v + 1)
Factor 5*w**4 - 4*w**2 - 2*w - w - 10*w**2 + 25*w**2 + 19*w**3.
w*(w + 1)*(w + 3)*(5*w - 1)
Let i(l) be the second derivative of 1/60*l**4 - 1/6*l**3 - 19*l + 0 + 0*l**2. Factor i(q).
q*(q - 5)/5
Let z(u) be the first derivative of 34 + 12/5*u + u**2 - 2/15*u**3. Factor z(w).
-2*(w - 6)*(w + 1)/5
Let t(z) be the second derivative of 3/20*z**5 + 0 - 1/70*z**7 - 9/20*z**4 - 2/15*z**3 + 6/5*z**2 + 33*z + 7/150*z**6. Suppose t(w) = 0. What is w?
-2, -2/3, 1, 3
Let y(u) = u**2 - 4*u + 10. Let j be y(3). Let d(n) = -n + 9. Let v be d(j). Factor -3*c**2 + 5*c**2 - c - 5*c**v + 0*c.
-c*(3*c + 1)
Determine s, given that 0 - 8/3*s + 2/3*s**2 = 0.
0, 4
Let p = -165119 + 1152551/7. Let b = -468 - p. Factor -4/7*k + 0 - b*k**2.
-2*k*(3*k + 2)/7
Suppose 5*t - 5 = 4*q, -4 = -4*t - 0*t. Factor q + 2/3*g - 1/3*g**2.
-g*(g - 2)/3
Let f(g) = -g**3 + 12*g**2 - g + 14. Let w(k) = 4*k**2 + 2*k. Let l be w(-2). Let d be f(l). Factor -3/7*h**3 + 9/7*h**d + 3/7 - 9/7*h.
-3*(h - 1)**3/7
Let d(r) = 22*r**3 + 46*r**2 - 56*r - 10. Let i(x) = -x**3 + x**2 - 2. Let g(f) = -4*d(f) + 44*i(f). Suppose g(b) = 0. Calculate b.
-2, 3/11, 2/3
Determine t, given that -594/7*t**2 - 370/7*t**3 - 40/7 - 272/7*t + 100/7*t**4 = 0.
-1/2, -2/5, 5
Factor 0 + 368/3*y**3 + 32/3*y + 64*y**2 + 80*y**4 + 50/3*y**5.
2*y*(y + 2)**2*(5*y + 2)**2/3
Let d = 516/161 - 8/23. Determine r, given that -20/7*r - 64/7*r**3 - 16/7*r**4 + 88/7*r**2 - 8/7 + d*r**5 = 0.
-2, -1/5, 1
What is s in -6 - 4 + 2205*s - 2199*s + 2 - s**2 = 0?
2, 4
Let g(b) be the first derivative of b**4 + 8*b**3 - 30*b**2 + 32*b + 98. Factor g(f).
4*(f - 1)**2*(f + 8)
Let i(v) be the third derivative of 0 + 0*v + 1/40*v**6 + 3/8*v**4 + 3/20*v**5 + 1/2*v**3 - 9*v**2. Determine f, given that i(f) = 0.
-1
Let a(g) be the second derivative of g**6/540 + g**5/45 + g**4/12 + 4*g**3/27 + 3*g**2 + 20*g. Let l(w) be the first derivative of a(w). Factor l(y).
2*(y + 1)**2*(y + 4)/9
Suppose 1 = -3*q + z, 0 = 2*q - z + 3 - 1. Suppose -3 - q = -2*l. Factor -17*x**2 + 44*x**2 + 15*x**4 + 42*x**2 - 66*x**3 + 15*x**l - 24*x.
3*x*(x - 2)**2*(5*x - 2)
Let f = -885 + 888. Let n(t) be the first derivative of -6*t + 9/2*t**2 - t**f + 8. What is a in n(a) = 0?
1, 2
Let z(c) be the third derivative of c**7/840 + c**6/480 - c**5/80 - 5*c**4/96 - c**3/12 - 4*c**2 + 20. Let z(a) = 0. Calculate a.
-1, 2
Let f(c) be the third derivative of 13/120*c**5 - 10*c**2 + 1/12*c**4 + 0*c + 0 - 1/3*c**3 + 1/48*c**6. Determine m so that f(m) = 0.
-2, -1, 2/5
Let n(z) = z**3 + 8*z**2 + 8*z. Let r be n(-6). Factor 12*t**4 - r + 19*t**2 - 7*t + 25*t**2 - 52*t**3 + 27*t.
4*(t - 3)*(t - 1)**2*(3*t + 2)
Let l be ((1/(-10))/((-3)/(-12)))/((-240)/75). Suppose 1/4*g - 1/4*g**3 + 1/8*g**4 + 0*g**2 - l = 0. What is g?
-1, 1
Let a(z) be the first derivative of z**4/10 - 4*z**3/5 - z**2/5 + 12*z - 464. Factor a(n).
2*(n - 5)*(n - 3)*(n + 2)/5
Let n(w) be the second derivative of 5*w**4/4 - 13*w**3/2 + 9*w**2 + 8*w - 2. Let n(i) = 0. What is i?
3/5, 2
Let d(l) = -l**3 - 6*l**2 - l + 14. Let o be d(-6). Factor -21*t + 2*t**2 - 2 + o + 9*t.
2*(t - 3)**2
Let l(c) = c**3 - 2*c**2 - c + 1. Let g be l(2). Let k = 3 + g. Solve 6*i**3 - 2*i**5 - 3*i**2 - 2 - i**k + 2 = 0 for i.
-2, 0, 1
Let r = -28 + 30. Factor -9*p - 11*p**r + 6 + 5*p**2 + 9*p**2.
3*(p - 2)*(p - 1)
Let v(s) be the first derivative of 5*s**4/4 + 65*s**3/3 + 255*s**2/2 + 315*s - 80. Solve v(p) = 0 for p.
-7, -3
Let a = -3237 - -3240. Suppose 0*d**2 - 2/9*d**a + 0 + 0*d - 8/9*d**4 = 0. What is d?
-1/4, 0
Let c(m) be the second derivative of 7*m**5/30 + m**4/9 - m + 125. Factor c(i).
2*i**2*(7*i + 2)/3
Let u(k) be the first derivative of -k**6/120 + k**5/10 - 11*k**3/3 - 6. Let c(i) be the third derivative of u(i). Suppose c(z) = 0. Calculate z.
0, 4
Let j(t) = -65*t**3 - 175*t**2 + 35*t + 175. Let a(s) = -9*s**3 - 25*s**2 + 5*s + 25. Let g(l) = -15*a(l) + 2*j(l). Find h such that g(h) = 0.
-5, -1, 1
Solve 5*v**2 - 283*v + 33*v + 144 + 101 = 0 for v.
1, 49
Let k = -43195/8 + 5400. Determine x so that -1/2*x**2 - k*x + 1/8*x**3 + 0 = 0.
-1, 0, 5
Factor -14/13*w**3 + 0 + 0*w**2 + 0*w + 2/13*w**4.
2*w**3*(w - 7)/13
Suppose 7*t - 9*t = -16. Suppose 2*p**5 - 4*p**5 + 6*p**3 + 6*p**4 + 10*p**2 + 4*p - t*p**4 = 0. What is p?
-1, 0, 2
Suppose 59 = 2*d + 55. Let m(k) be the second derivative of 1/12*k**4 + 1/3*k**3 + 0 + 1/2*k**d + 9*k. Suppose m(q) = 0. Calculate q.
-1
Let i(a) = -a**2 + 16*a - 4. Let c be i(15). Factor -c + 6*v**2 + 1 - v**2 + 5*v.
5*(v - 1)*(v + 2)
Let d(m) be the third derivative of 1/30*m**5 + 1/120*m**6 + 0*m**3 + 0*m**4 + 0 + 0*m + 17*m**2. Factor d(o).
o**2*(o + 2)
Let o(l) be the second derivative of -1/2*l**2 + 0 - 1/3*l**3 + 10*l - 1/12*l**4. Solve o(b) = 0.
-1
Let q(y) = -y + 9. Let i be q(5). Solve 2*f**3 - 2*f**2 + i*f - 2 + 2*f - 4*f**2 = 0 for f.
1
Let l = -2453/9 + 272. Let y = l - -11/9. Factor 4/3*t**4 + 0 - y*t**5 - 4/3*t**2 + 0*t**3 + 2/3*t.
-2*t*(t - 1)**3*(t + 1)/3
Suppose 0*m - m + 3 = 0. Let h = -191 - -196. Solve 0 + 2/3*w**4 + 2/9*w**h - 2/3*w**2 - 4/9*w + 2/9*w**m = 0.
-2, -1, 0, 1
Let r(t) = -3*t**2 + 8*t + 5. Let y be r(3). Factor y*u**2 - u - 6 + 10 - u**2 - 4*u.
(u - 4)*(u - 1)
Let x(n) be the second derivative of n**4/32 - n**3/8 + 2*n. Factor x(m).
3*m*(m - 2)/8
Let k(b) be the second derivative of 7/20*b**6 - 22*b**3 + 0 - 219/80*b**5 + 43/4*b**4 - 24*b + 24*b**2 - 1/56*b**7. Factor k(y).
-3*(y - 4)**3*(y - 1)**2/4
Suppose -2*o = -13*j + 9*j + 2, 2*o - 5*j = -4. Factor -2/15*h**o - 8/15*h**2 - 2/5*h + 0.
-2*h*(h + 1)*(h + 3)/15
Let l(o) = -9*o**2 - 3*o - 4. Let t be l(-2). Let s = 172/5 + t. Factor 2/5*p + 0 - s*p**2.
-2*p*(p - 1)/5
Let r(s) = 20*s**3 + 70*s**2 - 750*s + 1455. Let t(b) = -5*b**3 - 18*b**2 + 187*b - 364. Let l(u) = 4*r(u) + 15*t(u). Solve l(g) = 0 for g.
-8, 3
Let r(u) be the third derivative of -u**6/24 - 3*u**5/4 - 2*u**2 - 7. Find x such that r(x) = 0.
-9, 0
Let s(n) = -5*n**3 + 65*n**2 - 139*n + 72. Let g(v) = -2*v**3 + 22*v**2 -