.
-1, 1
Let j = -2/2445995 - -870777586/4116609585. Let c = 2/187 + j. Find m, given that -c*m - 2/9*m**3 + 0 + 4/9*m**2 = 0.
0, 1
Let y(k) = k**3 + 4*k**2 - 2*k - 5. Let d be y(-4). Factor -6 - 15*f + 0*f**3 - 6*f**2 - 10*f**2 + 4*f**2 - d*f**3.
-3*(f + 1)**2*(f + 2)
Let y be (1 - 3)/((-15)/3 + -2). Factor -y*a**3 - 2/7*a + 4/7*a**2 + 0.
-2*a*(a - 1)**2/7
Let g = 151 + -428/3. Let u = 4711/885 - -3/295. Factor 4/3 - u*z - 19/3*z**3 + g*z**2 + 7/3*z**4 - 1/3*z**5.
-(z - 2)**2*(z - 1)**3/3
Let p(b) = -15*b**5 - 5*b**4 - 5*b**3 - 5*b**2 + 5*b. Let y(g) = 7*g**5 + 2*g**4 + 2*g**3 + 2*g**2 - 2*g. Let d(z) = -2*p(z) - 5*y(z). Let d(i) = 0. What is i?
0
Let u(f) be the first derivative of 0*f - 1/6*f**3 + 3 + 13/10*f**5 + 1/2*f**2 - 9/8*f**4 - 5/12*f**6. Suppose u(r) = 0. What is r?
-2/5, 0, 1
Let -6*i**3 - 2*i**2 + 20*i + 17*i**2 - 8*i**3 + 9*i**3 = 0. What is i?
-1, 0, 4
Let f(i) = -3*i**5 + 2*i**4 - 2*i**3 - 4*i**2 + 7. Let r(s) = 2*s**5 + 0 - 5 + 3*s**2 + s**4 + s**3 + 2*s**4 - 4*s**4. Let v(a) = 5*f(a) + 7*r(a). Factor v(j).
-j**2*(j - 1)**3
Let q(a) be the first derivative of a**6/2 + 3*a**5 + 21*a**4/4 - a**3 - 12*a**2 - 12*a - 14. Solve q(c) = 0 for c.
-2, -1, 1
Let r(i) be the third derivative of -6*i**2 + 0 + 1/80*i**5 + 0*i**3 + 0*i + 0*i**4. Factor r(c).
3*c**2/4
Let f(y) be the third derivative of y**8/672 - y**7/140 + y**6/120 + y**5/60 - y**4/16 + y**3/12 + 11*y**2. Determine j so that f(j) = 0.
-1, 1
Let z(m) be the third derivative of -m**5/510 + m**4/204 + 21*m**2. Let z(c) = 0. Calculate c.
0, 1
Solve -2/7*q**3 + 0*q**2 + 0 + 6/7*q**5 + 0*q + 4/7*q**4 = 0 for q.
-1, 0, 1/3
Let d(f) be the third derivative of f**8/1512 - 4*f**7/315 + 47*f**6/540 - 26*f**5/135 - 4*f**4/9 + 64*f**3/27 - 11*f**2. Let d(v) = 0. Calculate v.
-1, 1, 4
Find z, given that 4/5*z - 2/5*z**3 + 0 - 2/5*z**2 = 0.
-2, 0, 1
Suppose 2*f - d - 3 = f, 2*f + 3*d + 9 = 0. Let g be (-4)/(-10)*(f - -5). Let g*y**4 + y**2 + y**2 - y**3 - 3*y**3 = 0. What is y?
0, 1
Suppose 0 = 3*x + x - 2*f + 12, -x = 2*f - 7. Let y = x + 1. Factor a + y - 2*a**2 + 0 + a**3.
a*(a - 1)**2
Suppose 0 = -0*s - 2*s + 4. Let r be ((-1)/(-2))/(2/8). What is o in 3*o - 7*o + 2*o**3 - 2 + s*o**r + 2*o = 0?
-1, 1
Let n(y) = -12*y**2 - 4*y + 10. Suppose -3*i = -0*f - 2*f - 11, f = 2*i - 7. Let p(h) = -h**2 + 1. Let j(x) = f*n(x) + 10*p(x). Find r such that j(r) = 0.
-2, 0
Let m(o) be the second derivative of -o**7/630 + o**6/180 - o**5/180 - o**2 - o. Let z(h) be the first derivative of m(h). Determine c so that z(c) = 0.
0, 1
Let a(l) = 5*l**3 + l**2 + 2. Let t(p) = 20*p**3 + 3*p**2 + p + 9. Let o(x) = 9*a(x) - 2*t(x). Determine i, given that o(i) = 0.
-1, 0, 2/5
Let u(l) be the third derivative of 4*l**7/315 + l**6/36 + l**5/90 + l**2. Factor u(c).
2*c**2*(c + 1)*(4*c + 1)/3
Let v be (155/45 - 3)/(2/3). Factor -2/3*a**2 + 0 + 0*a + v*a**3.
2*a**2*(a - 1)/3
Suppose 29*i + 48 = 45*i. Suppose 3/2 - 9/2*u**2 + 3*u**i + 0*u = 0. Calculate u.
-1/2, 1
Let z be 2 + -4 + (-16)/(-2). Find a, given that -4*a**3 - 5*a + z*a**2 + 2*a**3 + a = 0.
0, 1, 2
Let f(l) be the third derivative of -l**6/1020 - l**5/170 + l**4/204 + l**3/17 + 19*l**2. Factor f(k).
-2*(k - 1)*(k + 1)*(k + 3)/17
Let -2/11*x**5 - 18/11*x**3 - 4/11*x - 10/11*x**4 + 0 - 14/11*x**2 = 0. What is x?
-2, -1, 0
Let g(s) be the first derivative of -s**3/3 - 4*s**2 - 5*s - 1. Let x be g(-7). Find q such that -x*q**2 + 0*q**2 - 2 + 4 = 0.
-1, 1
Let w = 16 + -14. Factor -7*j - 2*j**2 - 2 + 3*j**w + 8*j.
(j - 1)*(j + 2)
Let l = 17/26 + -2/13. Let p = 49/106 - -2/53. Factor 0*z + l*z**2 + p*z**5 - 1/2*z**3 - 1/2*z**4 + 0.
z**2*(z - 1)**2*(z + 1)/2
Suppose 0 + 6/5*z**5 - 3/5*z**2 + 18/5*z**3 - 6/5*z + 21/5*z**4 = 0. Calculate z.
-2, -1, 0, 1/2
Factor 3/2*o**2 + 9*o + 0.
3*o*(o + 6)/2
Let m = -41 - -41. Let q(i) be the third derivative of 0*i**3 + m - 3*i**2 + 0*i + 1/48*i**4 + 1/240*i**5. What is g in q(g) = 0?
-2, 0
Let k = 49 - 49. Let j(h) be the first derivative of 2/5*h**2 + k*h - 2 + 2/15*h**3. Factor j(x).
2*x*(x + 2)/5
Let w(d) be the third derivative of d**5/120 + d**4/12 + d**3/4 - 8*d**2. Factor w(a).
(a + 1)*(a + 3)/2
Let x = -2146/57 - 13/19. Let w = 937/21 + x. Find u such that 26/7*u**4 + 36/7*u**2 + 2/7 + 6/7*u**5 + w*u**3 + 2*u = 0.
-1, -1/3
Let s(r) be the second derivative of r**6/180 - r**5/40 + r**4/24 - r**3/36 - 18*r. Factor s(u).
u*(u - 1)**3/6
Factor 21/2*h**3 - 3/2*h**2 + 15/2*h**5 + 0 - 33/2*h**4 + 0*h.
3*h**2*(h - 1)**2*(5*h - 1)/2
Let r(i) be the first derivative of -i**6/720 - i**5/120 - i**4/48 + i**3/3 - 3. Let m(l) be the third derivative of r(l). Factor m(t).
-(t + 1)**2/2
Suppose 2*x - 3*o = 15, 0*o + 5 = -3*x - o. Solve 0 + 1/5*q - 1/5*q**3 + x*q**2 = 0 for q.
-1, 0, 1
Suppose 0 = -7*n + 3*n. Suppose -4*s + 8 + 8 = n. Suppose -7/3*a**s + 1/3*a**2 + 0 + 0*a + 2/3*a**3 + 4/3*a**5 = 0. What is a?
-1/4, 0, 1
Let d(j) be the second derivative of -j**6/135 + 7*j**5/90 - j**4/3 + 20*j**3/27 - 8*j**2/9 + 11*j. Determine v so that d(v) = 0.
1, 2
Let r(o) be the first derivative of o**8/5880 - o**7/1470 - o**6/1260 + o**5/210 - o**3/3 - 1. Let z(g) be the third derivative of r(g). Factor z(y).
2*y*(y - 2)*(y - 1)*(y + 1)/7
Let o(g) be the first derivative of 3 + 1/2*g**2 + 0*g + 4/3*g**3. Factor o(f).
f*(4*f + 1)
Let y = 45 - 87/2. Solve -y*o**2 - 5/2*o - 1 = 0.
-1, -2/3
Suppose 4*p + 8 = -p + 3*v, -4*p - 28 = 3*v. Let x be p/8 + 9/2. Factor -6 - x*t - 2/3*t**2.
-2*(t + 3)**2/3
Let x(k) be the second derivative of 0*k**3 + 0 + 3*k + 0*k**4 + 0*k**2 - 1/45*k**6 + 1/15*k**5. Let x(l) = 0. Calculate l.
0, 2
Let z be 14/(-8)*(-8 + 4). Solve -17*h**3 + z*h**3 + 1 + 11*h**3 - h - h**2 = 0 for h.
-1, 1
Let z(p) be the first derivative of -2*p - 5/2*p**2 + 4 - p**3. Factor z(u).
-(u + 1)*(3*u + 2)
Let z(o) be the first derivative of o**6/9 - o**5/15 - 2. Factor z(n).
n**4*(2*n - 1)/3
Let a(y) be the third derivative of -y**7/1260 + y**6/90 - y**5/15 - 7*y**4/24 + 7*y**2. Let w(z) be the second derivative of a(z). Factor w(p).
-2*(p - 2)**2
Suppose -2*k = -7*k - 100. Let b be 75/k + 4/1. Solve -1/4*y + 0 + b*y**2 + 1/2*y**3 = 0 for y.
-1, 0, 1/2
Let m be (-24)/2*(-105)/(-56). Let g = -22 - m. Factor g*b**2 + 0 - 1/2*b.
b*(b - 1)/2
Suppose 0 = g + 3*t + 4, -4*t + 7*t = 6. Let c be g/(-4) + (-1 - 1). Factor c*x**2 + 1/2*x + 0.
x*(x + 1)/2
Let c = -15 - -15. Suppose c*d = 4*d. Factor 0*b - 4/5*b**4 + d + 0*b**2 + 2/5*b**3 + 2/5*b**5.
2*b**3*(b - 1)**2/5
Factor -65*b**2 - 145*b - 178 - 4*b**3 + 103 + 9*b**3.
5*(b - 15)*(b + 1)**2
Factor -2/11*l - 6/11 + 6/11*l**2 + 2/11*l**3.
2*(l - 1)*(l + 1)*(l + 3)/11
Let v be 0*((3 - 0) + (-144)/54). Factor -6/7*o**3 + 2/7*o**4 + 8/7*o + 0*o**2 + v.
2*o*(o - 2)**2*(o + 1)/7
Let f(j) be the first derivative of -16/3*j - 4/3*j**3 + 6 - 4*j**2 - 1/6*j**4. Determine l so that f(l) = 0.
-2
Let x(q) be the first derivative of 6 + 3/5*q**5 + 3/2*q**2 + 0*q - q**3 - 3/4*q**4. Factor x(k).
3*k*(k - 1)**2*(k + 1)
Suppose 2*g - 4*g = 16. Let y be (-10)/g*12/30. Factor y*u + 0 - 5/2*u**3 + 3/2*u**4 + 1/2*u**2.
u*(u - 1)**2*(3*u + 1)/2
Let i be (0 - 28)/((-2)/1). Let y be 6 - 3 - i/6. Solve y*l**3 + 2/3*l - 4/3*l**2 + 0 = 0.
0, 1
Solve n**2 + 6*n + 2*n**2 - 6*n**3 + 3*n**3 = 0.
-1, 0, 2
Let c(p) be the third derivative of p**8/1344 + p**7/840 - p**6/80 + p**5/120 + 5*p**4/96 - p**3/8 + 27*p**2. Factor c(v).
(v - 1)**3*(v + 1)*(v + 3)/4
Let i(g) = 13*g**2 - 15*g + 45. Let n(o) = -3*o**2 + 4*o - 11. Let y(d) = -2*i(d) - 9*n(d). Factor y(a).
(a - 3)**2
Let v(z) be the third derivative of z**2 + 0*z + 0 - 1/60*z**5 + 1/12*z**4 + 0*z**3. Factor v(b).
-b*(b - 2)
Suppose 0*f + 6 = 3*f. Factor -2 - k**3 - k + 2*k**2 + f.
-k*(k - 1)**2
Let k = -303389/46 + 6595. Let v = 2/23 - k. Factor -v*b + 0 - 1/2*b**2.
-b*(b + 1)/2
Let t(z) be the second derivative of -z**8/26880 + z**7/10080 - 5*z**4/12 + 9*z. Let y(n) be the third derivative of t(n). Solve y(f) = 0.
0, 1
Let g(c) be the third derivative of 1/240*c**5 + 1/48*c**4 + 2*c**2 + 0 + 0*c + 0*c**3. Determine m, given that g(m) = 0.
-2, 0
Let u(k) be the first derivative of -k**4/24 + k**3/6 - k**2/4 + k/6 - 39. Factor u(f).
-(f - 1)**3/6
Let g(t) be the second derivative of -9/20*t**5 + t + 0*t**2 + 0*t**3 + 1/5*t**6 + 1/4*t**4 + 0. Factor g(z).
3*z**2*(z - 1)*(2*z - 1)