et u = b + 256/5. Suppose -2/5*s**3 + 4/5 + 2*s + u*s**2 - 2/5*s**4 = 0. Calculate s.
-1, 2
Let d(r) be the second derivative of r**6/6 - r**5/2 + 5*r**3/3 - 5*r**2/2 - 34*r. Suppose d(x) = 0. Calculate x.
-1, 1
Let d(o) be the third derivative of 1/20*o**5 + 0 + 0*o + 5*o**2 + 0*o**3 - 1/4*o**4. Factor d(a).
3*a*(a - 2)
Let v(x) be the second derivative of -x**6/15 + 3*x**5/5 - 13*x**4/6 + 4*x**3 - 4*x**2 + x. What is o in v(o) = 0?
1, 2
Let k = -21 - -26. Suppose 0*a = 4*a + 5*i - k, 0 = 2*a - 5*i - 25. Factor 6/7*j**4 - 2/7*j**a - 2/7 - 4/7*j**2 + 6/7*j - 4/7*j**3.
-2*(j - 1)**4*(j + 1)/7
Let g(v) = 2*v**4 + 6*v**3 + 6*v**2 + 2*v + 6. Let q(y) = -1. Let a(j) = 3. Let h(n) = a(n) + 4*q(n). Let l(s) = -g(s) - 6*h(s). Let l(z) = 0. What is z?
-1, 0
Let d be 16/84*414/290. Let w = d + 2/145. Solve 0 + 0*g + 2/7*g**3 - w*g**2 = 0 for g.
0, 1
Let w(y) be the third derivative of -1/40*y**6 + 0 + 0*y + 2/5*y**5 + y**2 - 1/2*y**4 - 3/70*y**7 + 0*y**3. Solve w(i) = 0 for i.
-2, 0, 2/3, 1
Let t be 3 + 18/(-3) - (-70)/22. Let u be -2 - 2/3*-3. Factor u*a - 2/11*a**3 + 0 + t*a**2.
-2*a**2*(a - 1)/11
Let f(x) be the third derivative of -x**5/20 + x**4/8 + x**3 + 12*x**2. Factor f(n).
-3*(n - 2)*(n + 1)
Let u(h) be the second derivative of -5/36*h**4 + 1/15*h**6 - 3*h + 0 + 1/60*h**5 + 0*h**2 - 1/9*h**3. Find p such that u(p) = 0.
-2/3, -1/2, 0, 1
Let b(r) be the first derivative of -5*r**6/2 - 2*r**5 + 5*r**4/4 + 60. Factor b(y).
-5*y**3*(y + 1)*(3*y - 1)
Suppose f - 6*f = -65. Determine o so that f*o + 6*o**2 + o**3 + 1 + 1 + 6 - o = 0.
-2
Let d(p) be the third derivative of p**5/540 + p**4/216 - p**3/27 + 6*p**2. Factor d(s).
(s - 1)*(s + 2)/9
Let t(m) be the second derivative of m**6/15 + m**5/10 - 5*m**4/6 + m**3 + 5*m. Determine a, given that t(a) = 0.
-3, 0, 1
Find s such that 2/5*s**5 + 2/5*s**3 + 0 - 6/5*s**2 + 6/5*s**4 - 4/5*s = 0.
-2, -1, 0, 1
Let c be 14*3/12*2. Determine g, given that 2 - g**2 + 5*g - 2 - c*g = 0.
-2, 0
Let y(f) = 2*f**2 + 21*f**3 - 31 + 7*f + 31. Let j(l) = l**3 - l**2 + l. Let c(x) = 6*j(x) - y(x). Let c(q) = 0. What is q?
-1/3, -1/5, 0
Suppose 2*h - 4*h = 3*h. Let v(p) be the first derivative of 0*p + h*p**3 - 1/20*p**4 + 1/10*p**2 + 1. Factor v(m).
-m*(m - 1)*(m + 1)/5
Let t(y) = 4*y**4 - 3*y**3 + 3*y**2 + 7*y - 9. Let v(w) = 3*w**4 - 2*w**3 + 4*w**2 + 6*w - 8. Let s(o) = 5*t(o) - 6*v(o). Factor s(k).
(k - 3)*(k + 1)**2*(2*k - 1)
Let t(j) = j + 2. Let o be t(0). Determine i so that -o*i - 4*i + 3 + 4*i**2 - 6*i + 5*i**2 = 0.
1/3, 1
Let b(g) be the first derivative of g**3 + 0*g + 5 - 3/2*g**2. Determine v, given that b(v) = 0.
0, 1
Suppose -3*w + 4 = -2. Factor 2 - w + 0 - 6*y**2 - 3*y + 3.
-3*(y + 1)*(2*y - 1)
Let q(v) be the first derivative of 2 + 2/3*v**3 + 0*v + 2*v**2. Factor q(h).
2*h*(h + 2)
Let w(d) be the third derivative of d**7/1365 + 17*d**6/2340 + d**5/39 + d**4/39 + d**3/3 + d**2. Let k(f) be the first derivative of w(f). Factor k(l).
2*(l + 2)**2*(4*l + 1)/13
Suppose 2*c = 6*c - 16. Let j be (4 - 1)/(3/c). Let 3*w + 3*w**4 + 3*w - 26*w**3 - 4*w + 2*w**2 - 5*w**j + 24*w**5 = 0. What is w?
-1, -1/4, 0, 1/3, 1
Let d(y) = -y**3 + 4*y**2 + y - 4. Let w be d(4). Let f be (4/(-6))/((-3)/9). Factor 1/4*z**3 + 0 - 1/4*z + w*z**f.
z*(z - 1)*(z + 1)/4
Factor 0*z + 3/5*z**2 + 0.
3*z**2/5
Let g(c) be the second derivative of -c**5/20 + 5*c**4/12 - 4*c**3/3 + 2*c**2 + 12*c. Factor g(u).
-(u - 2)**2*(u - 1)
Let j(r) be the first derivative of -r**4/2 + 2*r**3/3 + 2*r**2 - 18. What is g in j(g) = 0?
-1, 0, 2
What is j in 6*j + 3/5*j**2 + 24/5 - 3/5*j**3 = 0?
-2, -1, 4
Let f(u) be the third derivative of -u**5/60 + u**4/6 - 4*u**2. Factor f(z).
-z*(z - 4)
Let u(w) be the third derivative of -w**5/30 + w**4/3 - 4*w**3/3 + 5*w**2. Factor u(s).
-2*(s - 2)**2
Let n(p) = -5*p**2 - 8*p - 1. Let u(y) = -11*y**2 - 17*y - 1. Let t = 3 + -5. Let f(k) = t*u(k) + 5*n(k). Let f(w) = 0. What is w?
-1
Factor -3612*r**3 - 678*r**3 - 540*r - 4050*r**2 - 5835*r**3 - 24.
-3*(15*r + 2)**3
Let a(n) = -n - 2. Let j be a(-4). Solve -j + 4*y**3 + 2*y + 2*y**4 - 7*y + y = 0.
-1, 1
Let i = 876 + -874. Factor 2/7*d + 0*d**i + 0 - 2/7*d**3.
-2*d*(d - 1)*(d + 1)/7
Suppose 0 = 4*m - z + 12 - 13, 5*m + 4*z = -4. Let m + 0*c + 1/5*c**2 = 0. What is c?
0
Suppose -3*t = 2*u - 9, 2*t - 6 = 2*u + 10. Let f be 2/t*2/4. Factor 1/5*n**2 + 0 + 0*n + f*n**3.
n**2*(n + 1)/5
Let p(d) be the second derivative of -d**6/15 + 2*d**5/5 - d**4 + 4*d**3/3 - d**2 + 8*d. Factor p(c).
-2*(c - 1)**4
Let b(l) be the second derivative of -l**6/165 - l**5/110 + l**4/22 + l**3/33 - 2*l**2/11 + 5*l. Let b(i) = 0. What is i?
-2, -1, 1
Let z(q) = -9*q**3 - 4*q**2 + 5*q - 5. Let t(b) = 14*b**3 + 6*b**2 - 8*b + 8. Let w(l) = 5*t(l) + 8*z(l). Determine n, given that w(n) = 0.
-1, 0
Let g(r) = -2*r + 19. Let h be g(8). Let n(j) be the third derivative of 1/24*j**4 + 2*j**2 + 0*j + 1/60*j**5 + 0*j**h + 0. Factor n(m).
m*(m + 1)
Suppose 0 = 4*n + 3 - 7. Let l(d) = -2*d**3 + 2*d**2 + 2*d. Let j(g) = g**3 - g**2 - g - 1. Let p(z) = n*l(z) + j(z). Suppose p(k) = 0. Calculate k.
-1, 1
Let y(g) = -1. Let p(f) = f**2 + 1. Let n(m) = -3*p(m) - 6*y(m). Determine i so that n(i) = 0.
-1, 1
Let v be 11110/25 + (-2)/(-10). Let q = v + -443. Factor q*b**3 - 2/5*b**2 - 2*b**4 + 0*b + 0 + 4/5*b**5.
2*b**2*(b - 1)**2*(2*b - 1)/5
Let h(s) be the second derivative of s**7/210 + s**6/25 + 13*s**5/100 + s**4/5 + 2*s**3/15 + 8*s. Factor h(v).
v*(v + 1)**2*(v + 2)**2/5
Let u(o) be the first derivative of 8*o**3/3 + 6*o**2 + 9*o/2 - 7. Find w, given that u(w) = 0.
-3/4
Let c(j) = j**5 + j**4 + j**3 + j**2 + j - 1. Let f(u) = -9*u**5 + 26*u**4 + 11*u**3 - 4*u**2 + 6*u - 6. Let o(h) = -6*c(h) + f(h). Factor o(l).
-5*l**2*(l - 1)**2*(3*l + 2)
Let q(o) be the third derivative of o**6/150 - o**4/30 - 11*o**2. Factor q(c).
4*c*(c - 1)*(c + 1)/5
Let m be (2/4)/(14/14). Factor 0 + 3/2*j**3 + m*j + 1/2*j**4 + 3/2*j**2.
j*(j + 1)**3/2
Let x(g) be the first derivative of -g**4/8 + g**3/6 + 2*g**2 - 6*g + 8. Solve x(y) = 0.
-3, 2
Factor -2 - 3*q + 3*q**3 - 3*q**2 + q**4 + 0*q**2 + 4*q**2.
(q - 1)*(q + 1)**2*(q + 2)
Let q = 70 - 68. Let p(n) be the first derivative of 0*n**q - 2/5*n**5 + 0*n**3 + 1/2*n**4 + 0*n + 2. What is b in p(b) = 0?
0, 1
Factor -4*q**2 + 18*q**3 - 12 + 43*q - 35*q**2 - 3*q**4 - 7*q.
-3*(q - 2)**2*(q - 1)**2
Suppose 0 = -5*k + 2 + 28. Factor 3*b**3 + k*b - 9*b**2 + 0*b**2 + 4*b - 3 - b.
3*(b - 1)**3
Determine n, given that 0 + 20/11*n + 2/11*n**4 - 2/11*n**2 - 20/11*n**3 = 0.
-1, 0, 1, 10
Let r(b) be the second derivative of -b**6/30 - b**5/20 - b**4/3 + b**3/6 + 4*b. Let s(m) = m**2. Let p(n) = r(n) + 5*s(n). Solve p(o) = 0.
-1, 0, 1
Let i = -54/5 + 113/10. Factor -i*f**2 - 1/2 - f.
-(f + 1)**2/2
Factor h**2 + 0 + 1/2*h**5 - 1/2*h - h**4 + 0*h**3.
h*(h - 1)**3*(h + 1)/2
Factor 32*y - 39*y + 12*y**4 + 34*y - 36*y**2 + 3*y**5 - 6*y**3.
3*y*(y - 1)**2*(y + 3)**2
Let p(i) be the third derivative of i**6/24 - i**5/4 + 5*i**4/8 - 5*i**3/6 - 2*i**2. Factor p(q).
5*(q - 1)**3
Let l(y) = y**2 + 6*y + 7. Let o be l(-6). Suppose -2*u - 2*n + 6 = 0, -3*n = -3*u + o*u - 13. Factor 2*v - 4*v - 2*v**5 + 4*v**4 - u*v**2 + 4*v.
-2*v*(v - 1)**3*(v + 1)
Suppose -2*p = -4*z + 32, 5*p + 27 = 3*z + 2*p. Factor 7*m + m**3 - z*m + m**2.
m**2*(m + 1)
Let s(c) = -2*c**2 - 7*c. Suppose -5*j - 12 = -2*j, -3*j = -3*y + 30. Let q(f) = -2*f**2 - 6*f. Let p(h) = y*s(h) - 7*q(h). Factor p(m).
2*m**2
Let v be (-1)/(-3) - (-7520)/(-42). Let r = v + 179. Find i such that 2/7*i - r*i**3 + 0*i**2 + 0 = 0.
-1, 0, 1
Let y(d) be the third derivative of 2*d**5/5 + d**4/6 - d**2 + 1. Factor y(c).
4*c*(6*c + 1)
Suppose -2*z - b = -4, 8*b - 5*b - 12 = -3*z. Suppose 2/7*c**3 + 4/7*c**2 + z + 2/7*c = 0. What is c?
-1, 0
Let r(h) be the second derivative of 1/8*h**6 - 9*h + 3/4*h**2 - 7/16*h**4 + 0 - 3/8*h**3 + 9/80*h**5. What is p in r(p) = 0?
-1, 2/5, 1
Let n(w) be the first derivative of 1/3*w**3 - 1 + w + 3/4*w**4 + 0*w**2 + 7/20*w**5. Let a(m) be the first derivative of n(m). Factor a(i).
i*(i + 1)*(7*i + 2)
What is k in 1/2*k**3 + 0*k + 0 + 5/4*k**4 - 3/4*k**2 = 0?
-1, 0, 3/5
Suppose -x = x + 2. Let f be (-10)/(-2) + x/(-1). What is a in -4 - f*a - a**2 + 6*a**2 - a**2 = 0?
-1/2, 2
Let c be -2*(-3)/(3/10). Suppose -4*d = j - 5, -2*j = -d