 0. What is b?
-1, 0, 1
Let x(u) be the first derivative of -u**4/10 - 4. Factor x(m).
-2*m**3/5
Let 1/3*n**3 - 1/6*n**2 - 1/6*n**4 + 0*n + 0 = 0. Calculate n.
0, 1
Suppose 0 = 5*t + 37 + 38. Let m be 1/t + (-46)/(-69). Factor 0*z**4 + m*z**5 + 0*z**2 + 3/5*z + 0 - 6/5*z**3.
3*z*(z - 1)**2*(z + 1)**2/5
Let p(h) be the third derivative of 2*h**7/105 - h**6/40 - 3*h**5/20 - h**4/12 - 5*h**2. Find i, given that p(i) = 0.
-1, -1/4, 0, 2
Let b(z) be the third derivative of -z**6/150 - z**5/25 - z**4/15 - 5*z**2. Solve b(n) = 0.
-2, -1, 0
Suppose 5 - 5 = 2*p. Factor p + 1/3*r**2 + 1/3*r.
r*(r + 1)/3
Let n(f) be the third derivative of f**5/75 + 2*f**4/15 - 2*f**3/3 - 25*f**2. Find s, given that n(s) = 0.
-5, 1
Suppose 0 = -4*h, -4*q - 2 = 5*h - 18. Let g(o) be the second derivative of 2/21*o**3 + 0 - o + 1/7*o**2 + 1/42*o**q. Let g(c) = 0. Calculate c.
-1
Let j be 2/9 + 16/9. Suppose 2*l + 4*t = -16, 16 = -3*l + 6*l - j*t. Factor 0 + 6*o**2 - o**l - 9*o - 3*o + 4.
(o - 2)*(5*o - 2)
Let r(l) be the first derivative of -3*l**7/14 + 4*l**6/5 - 9*l**5/10 + l**3/2 - 4*l + 1. Let n(j) be the first derivative of r(j). Factor n(h).
-3*h*(h - 1)**3*(3*h + 1)
Let x be -5 - (-4)/(-48)*-62. Determine k so that x*k**3 + 0 + 1/3*k + 1/2*k**2 = 0.
-2, -1, 0
Let d be ((-1)/14)/(2/(-8)). Let u = 543/658 - -3/94. Factor -6/7*i + d + u*i**2 - 2/7*i**3.
-2*(i - 1)**3/7
Let n(h) be the second derivative of -h**7/91 + h**6/15 - 7*h**5/65 - 2*h**4/39 + 8*h**3/39 + 11*h. Determine i so that n(i) = 0.
-2/3, 0, 1, 2
Find w such that 20/9*w**2 - 2/9*w**5 + 10/9*w**4 - 20/9*w**3 + 2/9 - 10/9*w = 0.
1
Let j = -7 - -11. Factor j*t - t**2 + 3*t - 8*t.
-t*(t + 1)
Let h = -2/5 + 3/5. Let d(v) be the first derivative of 0*v - 2/3*v**3 + 0*v**2 + 1 + 1/4*v**4 + h*v**5. Factor d(w).
w**2*(w - 1)*(w + 2)
Let h(r) = -r**2 + r - 1. Let m(v) = -4*v**2 + 6*v + 1. Let o(c) = 3*h(c) - m(c). Factor o(k).
(k - 4)*(k + 1)
Factor 1/5*q + 1/5*q**2 + 0.
q*(q + 1)/5
Let j(z) = 7*z - 7. Let w(v) = -3*v + 3. Let r(o) = 4*j(o) + 9*w(o). Let m be r(6). Factor 0*g + 0 - 1/3*g**m + g**4 + 1/3*g**2 - g**3.
-g**2*(g - 1)**3/3
Suppose -d + 1 = -2. Suppose r - 13 = -5*k, 0*r = -r + d. Factor -14*b**3 - 11*b**4 - 6*b**2 + k + b - b**5 - 1 - 2*b**5.
-(b + 1)**4*(3*b - 1)
Let j(v) = -5*v**2 + 11*v - 9. Let m(a) = a**2 - a. Let z(o) = -j(o) - 4*m(o). Let d be z(6). Factor 0*y + 24/7*y**5 + 0*y**2 + 0 - 10/7*y**4 - 4/7*y**d.
2*y**3*(3*y - 2)*(4*y + 1)/7
Suppose 5*m + 30 = -b, 4*b = -0*m - 2*m - 12. Let t be m/(-10)*(-64)/(-24). Factor 4/5 + t*q + q**2 + 1/5*q**3.
(q + 1)*(q + 2)**2/5
Suppose 2*s - 15 = -3*d - s, d - 5 = -4*s. Suppose 3 = -d*v + 28. Determine z, given that 0 - 2/3*z**v - 2/3*z**2 + 2/3*z**3 + 2/3*z**4 + 0*z = 0.
-1, 0, 1
Let s be 5/(-4) - 136/(-32). Suppose 3/4*b**4 + 0 + 0*b**s + 0*b + 0*b**2 + 1/4*b**5 = 0. What is b?
-3, 0
Let h(z) be the second derivative of z**4/6 - 2*z**3/3 - z**2/2 + z. Let f(q) = q**2 - q - 1. Let y(i) = 3*f(i) - h(i). Determine p so that y(p) = 0.
-2, 1
Let w be (2/25)/(5/25). Let r be 4/10*-3 - -2. Factor 2/5*p + r*p**2 + 0 + w*p**3.
2*p*(p + 1)**2/5
Suppose 7*o + 22 = 18*o. Suppose 0 = 4*p - 5*v - 28, 0 = 2*p - 2*v - o*v - 20. Factor -1/3 + 16/3*u**5 + 25/3*u**3 - 5/3*u - 40/3*u**4 + 5/3*u**p.
(u - 1)**3*(4*u + 1)**2/3
Let q be ((-4)/3)/(1/(-3)). Suppose -c = c + 5*a - 35, -q*c = -5*a + 5. Suppose 2*u**3 - 2*u**c + u**2 - u**2 = 0. What is u?
-1, 0, 1
Let x be ((3/(-4))/(-1))/((-1)/(-4)). Find s, given that 2*s**2 - 10/3*s + 4/3 - 2/3*s**4 + 2/3*s**x = 0.
-2, 1
Let w be 4/12 + 10/6. Suppose p = -b - 1, 0 = -w*b - 0*b - p + 1. Factor 2*n - 3*n - b*n**2 + 2*n**3 - 3*n**3.
-n*(n + 1)**2
Let b be -3 + 3*(2 + 0). Suppose 0*c - 5*n = c - 3, -4*c = b*n - 12. Solve z**2 + 7/2*z + 1 - 3/2*z**c = 0.
-1, -1/3, 2
Let p be -1 + 1 - 0 - -11. Let m be 1/(1 + (-2)/3). Factor 24*c**2 + 2 - p*c + 13*c**3 - 3*c**5 - 39*c**m + 11*c**4 + 3*c**4.
-(c - 1)**4*(3*c - 2)
Let r(x) = -x**3 + 5*x**2 - 13*x + 36. Let f be r(4). Factor 0 + 3/2*h**5 - 3/2*h**3 + 0*h + 0*h**4 + f*h**2.
3*h**3*(h - 1)*(h + 1)/2
Suppose 3 - 3 = 4*a. Factor 1/2*q**5 + a + 0*q**4 - q**3 + 0*q**2 + 1/2*q.
q*(q - 1)**2*(q + 1)**2/2
Suppose -6*z - z = -0*z. Suppose 3 = 4*q - 9. Factor -2/9*c**2 + 0 + z*c + 2/9*c**q.
2*c**2*(c - 1)/9
Let o(d) be the first derivative of -d**3/8 + 27*d**2/16 - 27*d/4 + 26. Factor o(z).
-3*(z - 6)*(z - 3)/8
Suppose 0*k - 15 = -5*k. Suppose 4*l = k*g + 7, 3*g + 0 = -2*l + 17. Factor -1/3*j - 1/3 + 2/3*j**2 + 2/3*j**3 - 1/3*j**5 - 1/3*j**l.
-(j - 1)**2*(j + 1)**3/3
Let w(l) be the first derivative of -l**4/2 - 8*l**3/3 + l**2 + 8*l + 8. Solve w(m) = 0.
-4, -1, 1
Let m(v) = v**3 + 10*v**2 - v - 11. Let t be m(-10). Let g(u) = -6*u**3 - 8*u**2 - 7*u. Let x(d) = d. Let l(z) = t*g(z) - 5*x(z). Factor l(p).
2*p*(p + 1)*(3*p + 1)
Factor 3*d**3 + 9*d**2 + 8*d + 3 + d + 0*d.
3*(d + 1)**3
Factor -8/3*h - 4 + 4/3*h**2.
4*(h - 3)*(h + 1)/3
Let a(z) be the first derivative of 2*z - 1/12*z**4 + 1/6*z**3 + 0*z**2 + 3. Let d(p) be the first derivative of a(p). What is c in d(c) = 0?
0, 1
Let l(o) be the first derivative of -2*o**3 + 7*o**2 - 4*o + 26. What is v in l(v) = 0?
1/3, 2
Factor -9*p**2 + 6 - 3087*p**4 - 2*p**3 - 3*p + 3090*p**4 + 5*p**3.
3*(p - 1)**2*(p + 1)*(p + 2)
Suppose -166*d + 15 = -161*d. Factor 1/5*x**2 + 0*x - 1/5*x**4 + 0 + 0*x**d.
-x**2*(x - 1)*(x + 1)/5
Factor -4/5 + 4/5*o - 1/5*o**2.
-(o - 2)**2/5
Let l(d) be the third derivative of -6*d**2 + 1/120*d**5 + 0*d + 0 - 1/32*d**4 + 0*d**3 + 1/480*d**6. Factor l(g).
g*(g - 1)*(g + 3)/4
Let h = 3 + -2. Suppose -4*p + h + 23 = 0. Let 3/2 - p*x**2 + 9/2*x = 0. What is x?
-1/4, 1
Let t(c) be the third derivative of c**9/19656 + c**8/3640 + c**7/1820 + c**6/2340 + c**3 - 2*c**2. Let w(o) be the first derivative of t(o). Factor w(m).
2*m**2*(m + 1)**3/13
Let g be 2/(-2)*-1 - -1. Let b(n) be the first derivative of 2/7*n**g + 3 + 2/7*n + 2/21*n**3. Let b(l) = 0. Calculate l.
-1
Let c(h) be the first derivative of 24/25*h**5 + 3/2*h**2 - 3/5*h - 3/5*h**4 - 3 - 6/5*h**3. Factor c(k).
3*(k + 1)*(2*k - 1)**3/5
Let n = -8 - -10. Let w(y) = y**3 + y. Let g(a) = 3*a**4 - 21*a**3 + 12*a**2 - 17*a + 1. Let j(q) = n*g(q) + 22*w(q). Determine b so that j(b) = 0.
1/3, 1
Let j(i) be the second derivative of i**4/12 - i**3/24 - 30*i. Find n, given that j(n) = 0.
0, 1/4
Factor 8/7 - 8/7*i + 2/7*i**2.
2*(i - 2)**2/7
Let h(o) be the third derivative of o**9/90720 - o**8/7560 + o**7/1890 - o**5/60 - o**2. Let s(y) be the third derivative of h(y). Solve s(z) = 0.
0, 2
Let o(d) be the first derivative of -4*d**5/45 - d**4/9 + 4*d**3/27 + 2*d**2/9 + 41. Find f, given that o(f) = 0.
-1, 0, 1
Let c(t) be the third derivative of t**6/120 + t**5/60 + 2*t**2. Let a(f) = 5*f**3 + 8*f**2 + f - 2. Let n(j) = a(j) - 6*c(j). Factor n(y).
-(y - 2)*(y - 1)*(y + 1)
Find w, given that 1/2*w**2 - 1/2*w**4 + 1/6*w**3 + 0 + 1/6*w**5 - 1/3*w = 0.
-1, 0, 1, 2
Suppose 4*i = -0*i. Suppose -j + t + 6 = -0*j, i = -5*j - 2*t + 9. Find z such that j*z**4 + 2*z**5 - 7*z**4 + 3*z**3 - 4*z**5 - 5*z**3 = 0.
-1, 0
Let v(p) = 5*p**2 - 10*p + 9. Let z(i) = -6*i**2 + 11*i - 10. Let j(m) = -5*v(m) - 4*z(m). Factor j(h).
-(h - 5)*(h - 1)
Solve u**4 + 1/5*u**3 + 0 + 0*u - 1/5*u**2 + 3/5*u**5 = 0.
-1, 0, 1/3
Let v(t) be the second derivative of 2*t**6/105 - t**5/5 + 3*t**4/7 + 18*t**3/7 - 108*t**2/7 + 28*t. Factor v(o).
4*(o - 3)**3*(o + 2)/7
Determine l so that l**3 + 5/4*l**2 + 0 + 1/2*l + 1/4*l**4 = 0.
-2, -1, 0
Let i(v) = v**5 - v**3 + v + 1. Let c(s) = s**5 + s - s**3 - 1 + 0*s**4 - s**2 + s + s**4 + 3. Let f(z) = c(z) - 2*i(z). Factor f(l).
-l**2*(l - 1)**2*(l + 1)
Let u(d) be the third derivative of -d**8/168 - 2*d**7/105 + d**6/30 + 4*d**5/15 + 7*d**4/12 + 2*d**3/3 + 10*d**2. Factor u(s).
-2*(s - 2)*(s + 1)**4
Let z = 236 - 1176/5. Factor 4/5*t**2 - 6/5*t**4 - z*t**3 + 6/5*t - 2/5*t**5 + 2/5.
-2*(t - 1)*(t + 1)**4/5
Let z(l) be the third derivative of -l**10/67200 - l**9/16128 - l**8/13440 + l**5/20 + l**2. Let b(x) be the third derivative of z(x). What is c in b(c) = 0?
-1, -2/3, 0
Let l(c) be the third derivative of -c**8/3024 + c**7/1890 + c**6/540 - c**5/270 - c**4/216 + c**3/54 - 8*c**2. Factor l(n).
-(n - 1)**3*(n + 1)**2/9
Let k(y) = 15*y**2 - 7 - 5*y + 3 - y. Let w(p) = 16*p**2 - 6*p - 4.