he third derivative of b**5/90 - b**4/18 - 8*b**3/9 + 22*b**2. Let c(p) = 0. What is p?
-2, 4
Let z(s) = 10*s**4 + 20*s**3 - 46*s**2 - 56*s + 24. Let i(o) = 2*o**4 + 4*o**3 - 9*o**2 - 11*o + 5. Let v(f) = 16*i(f) - 3*z(f). Determine p so that v(p) = 0.
-2, 1
Let h(g) = 5*g**3 + 40*g**2 + 5*g + 10. Let m(p) = 2*p**3 + 13*p**2 + 2*p + 3. Let w(n) = 3*h(n) - 10*m(n). Factor w(i).
-5*i*(i + 1)**2
Factor -96*y**2 - 5844 - 4*y**4 + 5844 - 64*y - 36*y**3.
-4*y*(y + 1)*(y + 4)**2
Let 17*i**2 - 5*i**2 + 36*i - 31*i**3 + 32*i**3 = 0. Calculate i.
-6, 0
Let m(f) be the first derivative of -f**7/40 - 3*f**6/40 + 3*f**5/10 + f**4/2 - 2*f**3 - 6. Let a(l) be the third derivative of m(l). Factor a(u).
-3*(u - 1)*(u + 2)*(7*u + 2)
Let 0 + 0*z - z**2 + 1/3*z**4 + 2/3*z**3 = 0. What is z?
-3, 0, 1
Let i(d) be the second derivative of -d**5/20 + 5*d**4/2 - 50*d**3 + 500*d**2 - 19*d. Factor i(w).
-(w - 10)**3
Let v = 80/267 - -3/89. Factor v*n - 7/6*n**2 + 0.
-n*(7*n - 2)/6
Suppose -28 = -4*h - 3*h. Let o(s) be the third derivative of -1/24*s**h + 1/120*s**5 + 0*s**3 + 0*s + s**2 + 0. Factor o(d).
d*(d - 2)/2
Let k(r) be the third derivative of -r**6/20 + r**5/15 + r**4/4 - 2*r**3/3 - r**2. Factor k(p).
-2*(p - 1)*(p + 1)*(3*p - 2)
Let s(q) = -q**2 - 3*q + 4. Let z be s(-3). Suppose -z*l + 9 = -3. Factor 10/7*a - 4/7 + 4/7*a**2 - 10/7*a**l.
-2*(a - 1)*(a + 1)*(5*a - 2)/7
Let c(h) = 9*h**2 + 7*h + 8. Let k(f) = -f**2 - f - 1. Suppose 2*w = i - 1, -5*w + 2*i + 4 = -3*w. Let m(d) = w*c(d) - 24*k(d). Find g, given that m(g) = 0.
0, 1
Suppose -2*w + 7*w - n = -94, -2*w + 3*n = 48. Let m = w - -21. Let -1/2*z**4 + 0*z + 0 - 1/2*z**m + 0*z**2 = 0. What is z?
-1, 0
Let m be (5 + 1)/(-10 + 11). Solve 7*c**2 + 3*c**3 - m*c**4 - 4*c**5 - c**2 + c**5 + 0*c**2 = 0.
-2, -1, 0, 1
Let q = 16 - 13. Factor -22*j**2 + 0*j - 3*j**3 - 3 + 25*j**2 + q*j.
-3*(j - 1)**2*(j + 1)
Let c(l) be the first derivative of -1/5*l**5 - 2 - 1/4*l**4 + 0*l + 2/3*l**3 + 0*l**2. Find s such that c(s) = 0.
-2, 0, 1
Let d(h) = -8*h**2 - 6. Let t(z) = 17*z**2 + 13. Suppose 3*o - 38 - 1 = 0. Let m(q) = q. Let a be m(6). Let n(i) = a*t(i) + o*d(i). Factor n(b).
-2*b**2
Let v(x) be the third derivative of x**8/168 + x**7/15 + 7*x**6/30 + x**5/15 - 5*x**4/4 - 3*x**3 + 16*x**2. Find t such that v(t) = 0.
-3, -1, 1
Let z be 2 - 0 - (0 - (-2 - -5)). Let g(x) be the second derivative of 0*x**2 + 0 - x - 1/2*x**4 - 1/10*x**z - 2/3*x**3. Factor g(u).
-2*u*(u + 1)*(u + 2)
Let x(u) be the first derivative of u**3/21 - 2*u**2/7 + 3*u/7 - 6. Solve x(i) = 0 for i.
1, 3
Let t(l) be the first derivative of -l**8/6720 - l**7/1680 + l**5/240 + l**4/96 + 2*l**3/3 - 1. Let g(d) be the third derivative of t(d). Solve g(z) = 0 for z.
-1, 1
Let v = 1/270 + 89/270. Let x(m) be the first derivative of -1/2*m**2 + 0*m + 1/4*m**4 + 4 + v*m**3 - 1/5*m**5. Factor x(c).
-c*(c - 1)**2*(c + 1)
Let t(v) be the first derivative of 4 - 1/3*v**2 + 0*v - 1/9*v**3. Let t(n) = 0. Calculate n.
-2, 0
Let y(o) be the first derivative of o**5/20 - o**4/16 - o**3/12 + o**2/8 + 7. Let y(m) = 0. What is m?
-1, 0, 1
Let 2*a + 10*a - 70*a**2 + 67*a**2 - 9 + 0*a = 0. Calculate a.
1, 3
Suppose 11*j = 10*j + 3*x - 1, 5*x = -3*j + 11. Factor -2/3 - 5/3*k + k**4 - 1/3*k**j + 5/3*k**3.
(k - 1)*(k + 1)**2*(3*k + 2)/3
Suppose -11 = v + 7. Let u be (-3 + (-53)/v)*-4. Determine h so that -4/9*h + u + 2/9*h**2 = 0.
1
Factor 5 + 117*p - 3 - 123*p + p**2 + 7.
(p - 3)**2
Let j(h) be the second derivative of h**7/84 + h**6/30 - h**5/20 - h**4/3 - 7*h**3/12 - h**2/2 - h. Factor j(d).
(d - 2)*(d + 1)**4/2
Suppose -4/7*t - 2/7*t**4 + 2/7*t**2 + 0 + 4/7*t**3 = 0. Calculate t.
-1, 0, 1, 2
Let k(z) be the second derivative of 0*z**2 - 1/35*z**5 - 7*z + 0 + 2/21*z**3 - 1/42*z**4 + 1/105*z**6. What is x in k(x) = 0?
-1, 0, 1, 2
Let b(y) be the first derivative of -5*y**6/2 - 9*y**5/2 + 11*y**4/4 + 6*y**3 - 6*y**2 - 5*y + 8. Let u(o) be the first derivative of b(o). Factor u(k).
-3*(k + 1)**2*(5*k - 2)**2
Let s(v) be the second derivative of v**5/5 + 2*v**4/3 - 2*v**3/3 - 4*v**2 - 18*v. What is q in s(q) = 0?
-2, -1, 1
Let p(w) = w**4 - w**3 + w**2 + w + 1. Let s(c) = 6 + 7*c**2 - 5*c**4 - 4*c**4 + 25*c**4 + 6*c - 30*c**3 + 19*c**2. Let t(f) = -8*p(f) + s(f). Factor t(v).
2*(v - 1)**3*(4*v + 1)
Let j = 5 + -2. Find f such that 4*f**3 + 0*f - 2 - j*f + 2*f**4 - f = 0.
-1, 1
Let f(t) be the second derivative of t**6/30 - 3*t**5/20 + t**4/4 - t**3/6 + 2*t - 26. Solve f(a) = 0 for a.
0, 1
Let b(g) be the first derivative of 4*g**3/3 + 6*g**2 - 3. Solve b(r) = 0 for r.
-3, 0
Let x = 3 + -1. Solve p**2 - p**2 - 2*p**x = 0.
0
Let v(l) be the first derivative of 5*l**6/24 - 7*l**5/20 + l**4/8 - 9. Factor v(a).
a**3*(a - 1)*(5*a - 2)/4
Let f(a) = 7*a**2 + a - 3. Let h(p) = 4*p**2 - 1. Let t(v) = 6*f(v) - 10*h(v). Factor t(q).
2*(q - 1)*(q + 4)
Let x be (10/(-14))/((-35)/42). Factor 6/7*t**2 - x*t**3 - 2/7*t + 0 + 2/7*t**4.
2*t*(t - 1)**3/7
Suppose -5 = 3*w - 8*w. Let g = w + 1. Factor 4/5*j + 0 + 2*j**g.
2*j*(5*j + 2)/5
Suppose -5*a + 12 = -a. Factor -92*p - a*p**2 + 92*p.
-3*p**2
Let i(c) be the first derivative of -1/2*c - 1/12*c**3 + 3/8*c**2 - 1. What is y in i(y) = 0?
1, 2
Let s be ((-75)/63 - -1)/((-1)/162). Let 0 + 156*x**3 - 350*x**4 - s*x**2 + 16/7*x + 294*x**5 = 0. What is x?
0, 2/7, 1/3
Let j(s) = s**2 - s + 4. Let r(p) = -p + 7. Let z be r(5). Let m(k) = 21 + k**2 + 4*k**2 - 5*k + k**z. Let v(q) = -11*j(q) + 2*m(q). Factor v(c).
(c - 1)*(c + 2)
Let z(q) = 4*q**2 + 2*q. Let w(o) = 7*o**2 + 4*o. Let f(c) = 6*w(c) - 11*z(c). Factor f(u).
-2*u*(u - 1)
Let f(p) = -p. Let u be f(0). Let s(t) be the first derivative of u*t - 1/6*t**3 + 0*t**2 - 2. Find r such that s(r) = 0.
0
Let p(m) be the first derivative of 6*m**6 - 12*m**5/5 - 8*m**4 + 16*m**3/3 - 22. Determine j so that p(j) = 0.
-1, 0, 2/3
Let d(g) be the third derivative of -g**6/480 + g**5/60 - 5*g**4/96 + g**3/12 - 9*g**2. Suppose d(u) = 0. What is u?
1, 2
Let u = 53 - 48. Let w(f) be the second derivative of -3/14*f**4 - 4/7*f**3 + 0 + 4/7*f**2 + 1/10*f**u + 2*f. Let w(z) = 0. Calculate z.
-1, 2/7, 2
Let s = 1467 + -4399/3. Factor -2/9*p**3 + 0 - 4/9*p + s*p**2.
-2*p*(p - 2)*(p - 1)/9
Let x(y) = -3*y**2 + 3*y - 2*y + 1 + 4*y**2. Let z(u) = 2*u**3 + 2*u**2 - 2*u - 2. Let k(m) = -2*x(m) - z(m). Factor k(b).
-2*b**2*(b + 2)
Let h = 22 - 16. Let -s**3 - 10*s**2 + 4 + 0 + h*s**4 + 0*s - s**3 + 2*s = 0. What is s?
-1, -2/3, 1
Find v, given that -6/11*v**2 + 18/11*v - 8/11*v**3 - 4/11 = 0.
-2, 1/4, 1
Let p be (0 - (1 - 0)) + 3. Suppose p*m = -m. Factor m - 2/3*d**2 + 2/3*d.
-2*d*(d - 1)/3
Let f(y) be the first derivative of 98/5*y**5 + 64/3*y**3 - 4*y**2 - 77/2*y**4 + 5 + 0*y. Factor f(l).
2*l*(l - 1)*(7*l - 2)**2
Let n be 1 - -1 - (4 - 3 - -1). Suppose 0*z**2 + n*z + 0 - 1/2*z**4 + 1/2*z**3 = 0. What is z?
0, 1
Let v(n) be the first derivative of -n**6/60 - n**5/45 + n**4/36 - 2*n**2 - 1. Let q(b) be the second derivative of v(b). Solve q(m) = 0 for m.
-1, 0, 1/3
Suppose 0 = -4*j + 2*j. Suppose 0 = -4*u + 4*b + 10 - 2, u + 2*b - 5 = j. Suppose -2*d**5 + 3*d**u + d**5 - 2*d**3 = 0. Calculate d.
-1, 0, 1
Let g(n) be the first derivative of n**6/6 - n**5/5 - 13*n**4/4 + n**3/3 + 24*n**2 + 36*n - 29. Factor g(t).
(t - 3)**2*(t + 1)*(t + 2)**2
Let g(j) = -3*j**2 + 13*j - 10. Let h(o) = -3*o**2 + 12*o - 9. Let r(a) = 6*g(a) - 7*h(a). Find s, given that r(s) = 0.
1
Let p(d) be the second derivative of -d**6/180 - d**5/150 + d**4/20 + d**3/6 - 5*d. Let r(y) be the second derivative of p(y). Factor r(k).
-2*(k + 1)*(5*k - 3)/5
Let q be (-2 + (-1)/(-1))*0. Let x = -5851/4 - -1463. Suppose x*n**2 + 0*n + q = 0. What is n?
0
Suppose -4*c - p = -18, -c = 10*p - 5*p - 14. Determine y so that -2/7*y**2 + 4/7*y**3 + 2/7*y**c + 0 - 4/7*y = 0.
-2, -1, 0, 1
Let t(b) be the first derivative of -b**4/24 + b**3/9 - b**2/12 + 2. Suppose t(m) = 0. What is m?
0, 1
Let o = 24 + -22. Determine d, given that -1/3*d + 1/3*d**o + 0 = 0.
0, 1
Suppose 141*o - 81/4*o**4 - 30 + 567/4*o**3 - 459/2*o**2 = 0. What is o?
2/3, 5
Let k(z) be the second derivative of -z**6/120 + z**5/40 - z**3/12 + z**2/8 - 3*z. What is h in k(h) = 0?
-1, 1
Let k = -1/472 + 12277/2360. Let j = k - 5. Let -2/5*x**2 + 0 + 2/5*x**4 + 1/5*x + 0*x**3 - j*x**5 = 0. Calculate x.
-1, 