 + 3*k**5 - k**4/3 - 4*k**3/3 + 2*k + 7. Factor d(x).
4*x*(x - 1)**3*(7*x + 2)
Let q(p) be the second derivative of -3*p**5/20 - 3*p**4/4 + 3*p**3 + 12*p**2 + 415*p. Determine b, given that q(b) = 0.
-4, -1, 2
Suppose -3*v + 79 + 2 = 0. Let s = v + -27. Factor 0*p - 2/9*p**3 + s - 2/9*p**2.
-2*p**2*(p + 1)/9
Let f = 82/7 - 1797/154. Let d(o) be the first derivative of -f*o**4 + 0*o + 4 + 0*o**3 - 1/33*o**6 - 4/55*o**5 + 0*o**2. Factor d(j).
-2*j**3*(j + 1)**2/11
Let k = -8 + 24. Suppose -4*n - k = -6*n. Determine t so that -29 - 7*t - 3*t + 25 - 2*t**3 - n*t**2 = 0.
-2, -1
Let q(c) be the third derivative of -c**8/1680 + c**7/280 - c**5/30 - 5*c**3/3 + 5*c**2. Let o(d) be the first derivative of q(d). Factor o(w).
-w*(w - 2)**2*(w + 1)
Let w(q) be the second derivative of q**7/42 - q**6/3 + 17*q**5/20 - 2*q**4/3 + 337*q. Solve w(i) = 0 for i.
0, 1, 8
Let x = 15842/3 + -5280. Suppose 1/3*i**2 - x + 1/3*i = 0. What is i?
-2, 1
Let h be (33/(-6) + -3)*-2. Let n = h + -13. Factor -2*g + 6*g**2 + 2*g**n - 4*g**3 + 0*g - 2*g**3.
2*g*(g - 1)**3
Let a = 19 + -16. Suppose a*z + 3*t = -5 + 2, 0 = 2*z + 5*t + 11. Factor 20 + z*q**4 - 20 - 8*q**2.
2*q**2*(q - 2)*(q + 2)
Solve 16/7 - 36/7*h + 36/7*h**3 - 2*h**4 - 2/7*h**2 = 0.
-1, 4/7, 1, 2
Find l, given that 2520*l + 857 + 3*l**3 + 139*l**2 - 3557 + 38*l**2 = 0.
-30, 1
Let i be (6400/225 - 29)/((-10)/24). Solve -28/9*m**3 + 0 + i*m**4 - 4/3*m**2 + 20/9*m**5 + 8/9*m = 0 for m.
-1, 0, 2/5, 1
Let s be -7*(4/(-10))/(14/10). Let d be (1*(s + -1))/(1/3). Solve -1 - 7/2*u**4 - 5/2*u**d + 5/2*u + 9/2*u**2 = 0 for u.
-1, 2/7, 1
Let u(f) = 3*f**2 + 85*f - 208. Let d(c) = -10*c**2 - 170*c + 415. Let r(o) = 2*d(o) + 5*u(o). Let r(w) = 0. Calculate w.
3, 14
Let m(g) be the first derivative of -g**4/30 - 14*g**3/45 - 7*g**2/15 + 2*g - 182. Factor m(s).
-2*(s - 1)*(s + 3)*(s + 5)/15
Let u be (-1 - (-3 - -2))*124/496. Factor 2/5*f**3 + 0 + 0*f**2 + u*f.
2*f**3/5
Suppose -u - 5*b + 470 = 0, 0 = -2*b - 10. Let y = u + -2963/6. Suppose -3/2*q**3 + 0 + 5/6*q**4 - 1/3*q - 1/6*q**5 + y*q**2 = 0. What is q?
0, 1, 2
Let h(g) be the third derivative of -1/420*g**8 + 0*g**4 + 0*g**3 - 10*g**2 + 0 + 2/75*g**5 + 0*g + 1/150*g**6 - 4/525*g**7. Determine y so that h(y) = 0.
-2, -1, 0, 1
Let c(x) be the second derivative of -3*x**5/20 - 21*x**4/4 - 39*x**3/2 - 57*x**2/2 + 180*x. Factor c(j).
-3*(j + 1)**2*(j + 19)
Let i(s) be the second derivative of -s**6/20 - 7*s**5/2 - 226*s**4/3 - 1012*s**3/3 - 484*s**2 + 5*s - 16. Let i(z) = 0. What is z?
-22, -2, -2/3
Let w**2 - 270 + 0*w**2 + 7*w**2 - 5*w**2 + 2*w**2 - 265*w = 0. What is w?
-1, 54
Let r(b) = -b + 7. Let t be r(5). Suppose 7*z = t*z + 335. Factor 100*n**2 - 25*n**3 - 105 + 53 - 55*n - 35*n**2 + z.
-5*(n - 1)**2*(5*n - 3)
Suppose 3*f**2 + 60*f - 32*f + 12 - 13*f = 0. Calculate f.
-4, -1
Let w(r) be the second derivative of r**5/20 + r**4/6 - r**3/2 + r**2 + 19*r. Let f be w(1). Factor 2/3*x - 1/3*x**f - 1/3.
-(x - 1)**2/3
Let o(j) be the first derivative of -3 + 0*j**2 - 4*j + j**3 + 1/4*j**4. Factor o(m).
(m - 1)*(m + 2)**2
Let s(j) = 5*j**2 - 22*j - 144. Let v be s(8). Find a such that 12/7*a**5 + 0*a - 6/7*a**2 + 15/7*a**3 + v + 33/7*a**4 = 0.
-2, -1, 0, 1/4
Let b(c) = c**4 - 13*c**3 - 40*c**2 + 60*c + 4. Let s(q) = -2*q**4 + 11*q**3 + 40*q**2 - 60*q - 3. Let x(m) = -3*b(m) - 4*s(m). Factor x(k).
5*k*(k - 2)**2*(k + 3)
Let k(a) be the first derivative of a**6/240 - a**5/80 + 16*a**3/3 - 18. Let t(h) be the third derivative of k(h). Solve t(l) = 0 for l.
0, 1
Let n(u) = -26*u**3 + 6*u**2 - 4*u. Let h(a) = -2*a**3. Let j(x) = -12*h(x) + n(x). Factor j(c).
-2*c*(c - 2)*(c - 1)
Let p be ((-9)/(-33))/((-3)/(-6) + (-7)/22). Suppose 1/2*x**2 + p - 2*x = 0. Calculate x.
1, 3
Suppose -33 = 3*i - 48. Let b be 3 - 0 - (-4 - i/(-1)). Solve 6/7*v**4 + 3/7*v - 6/7*v**3 + 6/7 + 3/7*v**5 - 12/7*v**b = 0 for v.
-2, -1, 1
Let k(o) = 7*o**5 + 34*o**4 + 108*o**3 + 2*o**2. Let y(d) = 9*d**5 + 33*d**4 + 108*d**3 + 3*d**2. Let b(g) = -3*k(g) + 2*y(g). Find j such that b(j) = 0.
-6, 0
Suppose -178/5*t**4 - 4624/5 + 6/5*t**5 + 340*t + 854/5*t**3 + 7362/5*t**2 = 0. What is t?
-4, -1, 2/3, 17
Let n(s) = 5*s**5 + 17*s**4 + 10*s**3 - 8*s**2 - 13*s - 7. Let d(q) = q + 10*q**2 + 0*q**4 - 1 - 8*q**2 - q**2 + q**4. Let b(k) = 2*d(k) - n(k). Factor b(z).
-5*(z - 1)*(z + 1)**4
Let n(v) be the first derivative of 2*v**3/9 - 13*v**2/3 - 136*v/3 + 419. Factor n(b).
2*(b - 17)*(b + 4)/3
Let y(q) be the second derivative of -q**6/24 + q**5 - 235*q**4/24 + 50*q**3 - 1125*q**2/8 - 70*q. Factor y(r).
-5*(r - 5)**2*(r - 3)**2/4
Let z(v) be the third derivative of v**5/300 + v**4/30 + 2*v**3/15 - 2*v**2 + 2*v. Let z(y) = 0. Calculate y.
-2
Let p(x) be the third derivative of x**8/840 - x**7/210 + x**5/30 - x**4/12 + 3*x**3/2 - 6*x**2. Let i(t) be the first derivative of p(t). Solve i(m) = 0.
-1, 1
Let a(o) be the first derivative of 0*o + 0*o**2 + 10/3*o**3 + 0*o**5 - 19 + 15/4*o**4 - 5/6*o**6. Factor a(w).
-5*w**2*(w - 2)*(w + 1)**2
Let i(v) be the second derivative of -1/9*v**3 + 0 - 4*v + 1/18*v**4 + 0*v**2. Factor i(x).
2*x*(x - 1)/3
Let p(h) be the third derivative of h**5/60 + 175*h**4/12 + 30625*h**3/6 + 212*h**2. What is f in p(f) = 0?
-175
Let -55*t - t**3 + 1741*t**2 + 24 + 1 - 4*t**3 - 1706*t**2 = 0. Calculate t.
1, 5
Suppose -5*d = -4*f + 345, d + 0 = -5. Factor -7*x - 52*x**2 - 5*x + 4*x - f*x**3.
-4*x*(4*x + 1)*(5*x + 2)
Let b(n) = 15*n**2 + 6*n - 5. Let s(m) = m**2 + 14*m - 10. Let i be s(-15). Let w(u) = -15*u**2 - 5*u + 5. Let y(o) = i*b(o) + 4*w(o). What is k in y(k) = 0?
-1, 1/3
Suppose -7*s = -8*s + 4. Suppose s*c - 2 = m - 9, -2*m = -3*c - 9. Let 0*a + 0 - 1/2*a**4 + 0*a**2 - 1/2*a**m = 0. Calculate a.
-1, 0
Let w(t) be the second derivative of -t**5/10 - t**4 - 3*t**3 + 17*t + 3. Let w(p) = 0. What is p?
-3, 0
Suppose 2*b + 4*z = 3*b - 20, -2*b = 4*z - 4. Suppose 12*r**2 - 19*r + 6 + 18*r**2 - b*r - 9*r**2 = 0. Calculate r.
2/7, 1
Factor v**2 + 1/2*v**3 - 5/2*v - 3.
(v - 2)*(v + 1)*(v + 3)/2
Let r(c) be the second derivative of c**6/135 - c**5/15 + 11*c**4/54 - 2*c**3/9 + c - 15. Suppose r(s) = 0. Calculate s.
0, 1, 2, 3
Suppose -2*s + 8*s - 24 = 0. Solve -44*f**2 - 20*f**3 + 5*f**s + 0*f**4 + 69*f**2 - 10*f = 0.
0, 1, 2
Let l(r) be the first derivative of r**3/6 + 13*r**2/4 + 15*r - 741. Solve l(g) = 0.
-10, -3
Let x = 39 + -37. Suppose -x*l - 1 = -3*l. Find n, given that -5/2*n - 3*n**2 + l + 9/2*n**3 = 0.
-2/3, 1/3, 1
Let g(z) = -z**2 + 7*z + 2. Let u(v) = v**2 - v + 1. Let o(m) = -2*g(m) - 4*u(m). Factor o(n).
-2*(n + 1)*(n + 4)
Let w(z) be the first derivative of z**6/3780 - z**5/180 + z**4/42 + z**3 - 51. Let n(v) be the third derivative of w(v). Factor n(r).
2*(r - 6)*(r - 1)/21
Factor -2/5*x**2 + 44/5*x - 42/5.
-2*(x - 21)*(x - 1)/5
Let r(s) be the first derivative of -s**6/9 + 2*s**5/3 - 7*s**4/6 + 2*s**3/3 - 83. Factor r(c).
-2*c**2*(c - 3)*(c - 1)**2/3
Let l(o) be the second derivative of o**4/4 + 27*o**3 + 156*o**2 + o + 41. Factor l(s).
3*(s + 2)*(s + 52)
Suppose 3 = -0*u + 3*u, -2*y + 5*u - 1 = 0. Let x(a) = 15*a + 17*a**y + 19 + a - 3 - a**2. Let z(r) = r**2. Let q(l) = -x(l) + 12*z(l). Factor q(c).
-4*(c + 2)**2
Suppose -2*a + 7*a = 10. Let m = a + 3. Determine f so that 15 + m*f**2 - 11 - 7*f + f - 3*f**2 = 0.
1, 2
Suppose -a = -4*u + 7*u + 6, a = -4*u - 10. Let z = 11 - a. Suppose -6*c**4 + 4*c**2 + 2 + 6*c - c**5 + c**z - 4*c**3 - 2*c**5 = 0. Calculate c.
-1, 1
Let q(b) be the second derivative of b**7/1050 + b**6/90 + 2*b**5/75 + 17*b**3/6 + 25*b. Let r(n) be the second derivative of q(n). Solve r(f) = 0 for f.
-4, -1, 0
Let v(s) = 7*s**2 - 3*s. Let b be 2/7 + 120/70. Let j(d) = 86*d**2 + 2*d - 94*d**2 + b*d. Let u(q) = 5*j(q) + 6*v(q). Suppose u(k) = 0. What is k?
-1, 0
Find p, given that -24/17*p**2 + 24/17 - 10/17*p**3 + 10/17*p = 0.
-12/5, -1, 1
Let h(j) be the first derivative of j**4/6 - 44*j**3/9 - j**2/3 + 44*j/3 - 234. Factor h(o).
2*(o - 22)*(o - 1)*(o + 1)/3
Let t(w) be the second derivative of 7*w**6/50 - 3*w**5/5 + 3*w**4/5 + 7*w - 27. Factor t(a).
3*a**2*(a - 2)*(7*a - 6)/5
Let z be 5/(-2)*(-20)/25. Suppose -3*n**z + 0*n + 19*n**4 + 2*n - n**5 - 16*n**4 - n**3 = 0. Calculate n.
-1, 0, 1, 2
Let m(v) = -v**3 - 5*v**2 - 3*v + 1. Let p be m(-4). Let u be 16/3*(p + 1