ative of f**6/360 - f**5/36 + 7*f**4/72 - f**3/6 + 42*f**2. Solve y(o) = 0.
1, 3
Let o = -10 + 10. Let r(f) be the third derivative of 1/480*f**6 - 1/240*f**5 + o*f + 0*f**3 + 0*f**4 + 0 - 2*f**2. Let r(y) = 0. Calculate y.
0, 1
Let q be 25/15 + 1/(-1). Let h = q + 0. Factor 0*l - h*l**3 - 4/3*l**2 + 0.
-2*l**2*(l + 2)/3
Let 4/3 + 0*i**2 - 2/3*i**3 + 2*i = 0. What is i?
-1, 2
Let l(s) be the third derivative of s**6/180 - s**5/20 + 5*s**4/36 - s**3/6 - 16*s**2. Determine o so that l(o) = 0.
1/2, 1, 3
Let z(o) = 5*o**3 + 2*o**2 - 7*o + 8. Let p(j) = -6*j**3 - 3*j**2 + 6*j - 9. Let c(y) = 2*p(y) + 3*z(y). Factor c(n).
3*(n - 1)**2*(n + 2)
Let o(u) be the first derivative of 4*u**6/51 + 6*u**5/85 - u**4/34 - 8. Let o(s) = 0. Calculate s.
-1, 0, 1/4
Suppose -2*j - b = 1, -2 + 14 = j - 2*b. Let z(k) be the first derivative of -1/9*k**j + 2/27*k**3 - 1 + 0*k. Let z(y) = 0. Calculate y.
0, 1
Let w be -2 + (-2 - -3) - -5. Let 24*v - 4*v**2 - 36 - w*v**2 + 4*v**2 = 0. What is v?
3
Let b(a) be the second derivative of a**7/70 - 3*a**6/40 + a**5/10 + 9*a**2/2 - 4*a. Let c(j) be the first derivative of b(j). Determine v, given that c(v) = 0.
0, 1, 2
Suppose -5*r = 4*z - 18, -3*z = 4*r - 0*r - 14. Let g = r + -1. Let 24*v**3 - g - 4*v + 14*v**4 + 1 + 6*v**2 = 0. What is v?
-1, 0, 2/7
Let z = 17 - 10. Let s(j) = -j + 9. Let g be s(z). Solve -2*t**2 + t**2 + g*t**2 = 0.
0
Let z(x) be the second derivative of 5*x + 0 - 1/6*x**4 + 1/6*x**3 - 1/10*x**5 + 1/30*x**6 + 1/2*x**2 + 1/42*x**7. Let z(d) = 0. Calculate d.
-1, 1
Solve 57/5*b**4 + 12/5*b**5 + 57/5*b**2 - 6/5 + 3/5*b + 93/5*b**3 = 0 for b.
-2, -1, 1/4
Suppose -2 + 1 + 16*l**2 + 4*l**3 + 14*l - 2*l**5 + 3 - 4*l**4 + 2 = 0. Calculate l.
-1, 2
Let a be 4/(-22) - (-175)/55. Factor -4*n**4 - a*n**2 + n**3 + 6*n**3 - 2*n**4 + 2*n**4.
-n**2*(n - 1)*(4*n - 3)
Let t(v) be the first derivative of 2*v**3/27 + 8*v**2/9 - 2*v + 19. Solve t(m) = 0 for m.
-9, 1
Suppose 8 = d + 3. What is k in -6*k**3 + 10*k**4 + 3*k**5 - 2 - d*k + 0 + 16*k**3 = 0?
-1, 2/3
Let t be (-12)/(-7) + 16/56. Factor 0*q**t - 2/5*q**3 + 0 + 0*q + 2/5*q**4.
2*q**3*(q - 1)/5
Let v(l) be the first derivative of l**5/60 + l**4/24 - l**2 + 2. Let j(d) be the second derivative of v(d). Factor j(m).
m*(m + 1)
Find j such that 0 - 1/4*j**2 - 1/4*j = 0.
-1, 0
Suppose -10/3*f**2 + 0 - 5/2*f**4 + 31/6*f**3 + 2/3*f = 0. Calculate f.
0, 2/5, 2/3, 1
Let q be (4 + -1)/(5/5). Factor -11*f - 7*f + 4 + f - 10*f**3 + 18*f**2 + 2*f**4 + q*f.
2*(f - 2)*(f - 1)**3
Let y be (-8)/(-44) - (-6)/(-33). Let o(h) be the third derivative of -4*h**2 + 0*h**3 - 1/12*h**4 + y*h - 1/30*h**5 + 0. Find d such that o(d) = 0.
-1, 0
Let m(j) = 2*j**4 - 2*j**3 - 6*j**2 - 2*j - 2. Let x = 4 + -7. Let u(i) = -2*i**4 + 3*i**3 + 6*i**2 + i + 3. Let v(z) = x*m(z) - 2*u(z). Factor v(a).
-2*a*(a - 2)*(a + 1)**2
Let 7*n**5 - 5*n**2 + 12*n**4 - 5*n**3 - 2*n**5 - 7*n**4 = 0. Calculate n.
-1, 0, 1
Let b(w) be the second derivative of -w**5/4 + 5*w**4/12 - 11*w. Solve b(s) = 0.
0, 1
Suppose -4*t = -2*t. Suppose -2*f + 0 + 4 = t. Solve -3 + y**4 + f + 3*y - 5*y + 2*y**3 = 0.
-1, 1
Let c(f) be the second derivative of 3*f**4 + 1/10*f**6 - 4*f**3 + 0*f**2 + 0 - 9/10*f**5 - 5*f. Suppose c(w) = 0. What is w?
0, 2
Suppose -1 - 44 = 3*p. Let x = p + 27. Determine d, given that -4*d**5 + x*d - 2*d**4 - 14*d**3 + 11*d**5 - 4*d**2 + 2 - 5*d + 4*d**4 = 0.
-1, -2/7, 1
Suppose 6*j - 11 - 1 = 0. Let d(u) be the third derivative of -1/3*u**3 + u**j + 0 + 1/12*u**4 - 1/120*u**5 + 0*u. Factor d(w).
-(w - 2)**2/2
Factor -16/3*r + 16/3*r**2 + 0 + 4*r**3.
4*r*(r + 2)*(3*r - 2)/3
Determine n so that -2/3*n**3 + 0 - 2/3*n**5 + 4/3*n**4 + 0*n + 0*n**2 = 0.
0, 1
Find i, given that 3*i**2 - 14*i - 3*i**3 + 2*i**3 + 12*i = 0.
0, 1, 2
Let z(p) = -4*p**3 + 8*p**2. Let o(d) = -2*d**3 + 4*d**2. Let c(i) = 5*o(i) - 2*z(i). Factor c(v).
-2*v**2*(v - 2)
Let y = 51 - 46. Factor -5/2*r + 5*r**2 - 1/2*r**y + 1/2 - 5*r**3 + 5/2*r**4.
-(r - 1)**5/2
Let y = -98 - -100. Factor y*d - 4/3 - 2/3*d**2.
-2*(d - 2)*(d - 1)/3
Let b(a) be the first derivative of 3*a**5/5 - 3*a**4 + 6*a**3 - 6*a**2 + 3*a - 9. Factor b(l).
3*(l - 1)**4
Let a(v) = -v**3 + v**2 - v. Let c(d) = 28*d**3 - 24*d**2 - 24*d + 64. Let k(h) = 24*a(h) + c(h). Solve k(f) = 0.
-4, 2
Suppose 0 = -x + 4*x - 33. Factor q + x*q**5 + 2*q**4 - 9*q**5 - q.
2*q**4*(q + 1)
Let j(x) = x**2 - 6*x - 4. Let z = -15 + 22. Let n be j(z). Factor 15*g**3 + 12*g**2 - 40*g + 3*g**n - 8 + 24.
2*(g + 2)*(3*g - 2)**2
Suppose -5*v - 10 = 0, 0 = 2*x - 3*v - 14 - 2. Suppose -x*i = -6*i. Factor -1/2*q + 1/2*q**2 + i.
q*(q - 1)/2
Let l(a) = -3*a**2 - 4*a - 1. Suppose 2*q + q = 0. Suppose -2*k - k - 9 = q. Let i(r) = 3*r**2 + 4*r + 1. Let h(g) = k*i(g) - 4*l(g). Let h(s) = 0. What is s?
-1, -1/3
Let f(s) = -s**2 - 2*s - 4. Let h(d) = -5*d**2 - 9*d - 20. Suppose -2*z + 4*z - 4 = 0. Let m(y) = z*h(y) - 11*f(y). Let m(a) = 0. Calculate a.
-2
Let y(q) be the second derivative of -1/70*q**5 - 1/105*q**6 + 0*q**2 + 0 + 0*q**3 + 5*q + 1/42*q**4 + 1/147*q**7. Factor y(d).
2*d**2*(d - 1)**2*(d + 1)/7
Find d, given that 27/2 + 9*d + 3/2*d**2 = 0.
-3
Let l(s) be the third derivative of 1/280*s**7 + 0 + 1/240*s**5 + 1/160*s**6 + 1/1344*s**8 + 0*s**3 + 0*s + 0*s**4 - s**2. Suppose l(d) = 0. What is d?
-1, 0
Suppose 36 = -4*p + t, 24 = -2*p + 3*t - t. Let z be (p/(-32))/((-1)/(-2)). Factor 0 + z*a**2 - 1/2*a**4 - 1/2*a + 1/2*a**3.
-a*(a - 1)**2*(a + 1)/2
Let j(n) be the first derivative of n**3 - 3*n + 40. Let j(q) = 0. Calculate q.
-1, 1
Let j(q) be the second derivative of -q**4/48 + 26*q. Factor j(v).
-v**2/4
Factor -3 - 17/2*f**2 - 7/2*f**3 - 17/2*f - 1/2*f**4.
-(f + 1)**2*(f + 2)*(f + 3)/2
Suppose 0 = 7*l - 3*l + 12. Let m(o) = -o + 0*o + 0 - 1. Let z(d) = 2*d**3 - 2*d**2 - 3*d - 3. Let n(x) = l*m(x) + z(x). Solve n(q) = 0 for q.
0, 1
Factor -1/2*r + 1 - 1/2*r**2.
-(r - 1)*(r + 2)/2
Factor 0 - 3*m + 2*m**2 - 1/3*m**3.
-m*(m - 3)**2/3
Suppose -t - 32 + 36 = 0. Let a(v) be the third derivative of -1/330*v**6 + 0*v**5 + 0 - 2*v**2 + 0*v**3 + 0*v + 1/1155*v**7 + 0*v**t + 1/616*v**8. Factor a(c).
2*c**3*(c + 1)*(3*c - 2)/11
Suppose y = -2*y. Factor -q**2 + y*q**2 + 0*q**4 - 2*q**2 + 3*q**4.
3*q**2*(q - 1)*(q + 1)
Suppose -32*i = -224 + 160. Let 0*q**i - 1/3*q**3 + 0*q**4 + 0*q + 1/3*q**5 + 0 = 0. What is q?
-1, 0, 1
Factor -a + 4*a**2 - 6*a**4 + 2*a**5 + 2 + 5*a**3 + 7*a**3 - 8*a**3 - 5*a.
2*(a - 1)**4*(a + 1)
Suppose -3*i + 11 = z - 2, -5*i + 35 = 5*z. Let h(y) be the second derivative of 0 - 1/24*y**4 - 1/4*y**2 - y - 1/6*y**i. Factor h(a).
-(a + 1)**2/2
Factor -4/9*s + 2/9*s**2 + 0.
2*s*(s - 2)/9
Determine f, given that -6*f + 4/5*f**2 + 14/5 + 28/5*f**3 - 18/5*f**4 + 2/5*f**5 = 0.
-1, 1, 7
Find a, given that 1/6*a**2 + 1/6*a + 0 = 0.
-1, 0
Let k(i) be the first derivative of -i**7/1050 - i**6/300 - i**5/300 - 2*i**2 + 1. Let t(j) be the second derivative of k(j). Let t(f) = 0. What is f?
-1, 0
Solve 3/2*t + 2*t**4 - 3/2*t**3 - 5/2*t**2 + 1/2 = 0.
-1, -1/4, 1
Let a(g) = -g**3 - g - 1. Let d(l) = 12*l**2 + 30*l**2 + 42*l - 6*l**2 - 22 - 34*l**3. Let z(b) = 6*a(b) - d(b). Factor z(m).
4*(m - 2)*(m + 1)*(7*m - 2)
Let q be (12/(-8))/((-1)/(-2)). Let f be (q + 4)*0/(-2). Factor 4*w**2 + 0 + f + 2*w**3.
2*w**2*(w + 2)
Suppose 0 = 2*c - 2 - 10. Let t be -2*1/((-15)/c). Find z such that -t*z**4 + 0*z + 2/5*z**5 + 2/5*z**3 + 0 + 0*z**2 = 0.
0, 1
Let o(p) be the first derivative of -p**6/4 + 3*p**5/5 - p**3 + 3*p**2/4 + 6. Suppose o(s) = 0. Calculate s.
-1, 0, 1
Suppose 3*t = 59 + 43. Let l = t - 31. Let -1/5*a**2 + 0 - 4/5*a**l + 0*a = 0. What is a?
-1/4, 0
Let n(v) = -5*v + 0 + 4*v + 2*v - 1. Let c(w) = -w**3 + 3*w - 2. Let k(y) = -3*c(y) + 6*n(y). Factor k(p).
3*p*(p - 1)*(p + 1)
Suppose n + 2 = 3*r + 10, -1 = -r + 4*n. Let o be (-2)/r*18/24. Factor 3/2*q + o*q**2 + 1.
(q + 1)*(q + 2)/2
Let p(s) be the first derivative of s**5/15 + s**4/12 - s**3/9 - s**2/6 + 10. Find m such that p(m) = 0.
-1, 0, 1
Let b(m) = 7*m - 3. Let h(l) = -4*l + 2. Let j(r) = 3*b(r) + 5*h(r). Let u be j(3). Factor -n + u*n**4 + n**2 + 0*n**3 + n**3 - 5*n**4.
-n*(n - 1)**2*(n + 1)
Let q(m) = -2*m**2 - 15*m - 5. Let z be q(-7). Factor 2/7*f - 4/7 + 2/7*f**z.
2*(f - 1)*(f + 2)/7
Let v be (18/(-24))/(2/(-8)). Solve 2/3*w**2 + 0 - 1/3*w - 1/3*w**v