0.
-1, 0
Let m be 1/(-2) - 5/(-10). Let p(n) = n**2 + 7*n + 6. Let i be p(-1). Let 1/4*z**2 - 1/4*z**3 + i*z + m = 0. Calculate z.
0, 1
Let j(s) = -s**4 + 23*s**3 + 24*s**2 - 39*s - 39. Let o(a) = a**4 - 11*a**3 - 12*a**2 + 19*a + 19. Let l(h) = -3*j(h) - 7*o(h). Let l(d) = 0. Calculate d.
-1, 2
Let y(x) be the first derivative of -1/30*x**6 + 0*x**4 + 0*x**3 - 2*x + 1 + 0*x**2 + 1/20*x**5. Let c(d) be the first derivative of y(d). Solve c(q) = 0 for q.
0, 1
Let o be (-4)/14*(39/6 + -8). Let 0*g - o*g**3 + 0 + 3/7*g**2 = 0. Calculate g.
0, 1
Let b(s) = -9*s**2 + 12*s - 3. Let i(r) = -6*r - 4*r + 3 - r - 3*r**2 + 11*r**2. Let f(q) = 2*b(q) + 3*i(q). Let f(m) = 0. What is m?
1/2, 1
Let q be (1/(-8)*-21)/(30/40). Suppose k**4 + 2*k + 0 - q*k**5 + 21/2*k**3 - 10*k**2 = 0. Calculate k.
-2, 0, 2/7, 1
Let t be (-6)/4*(-8)/3. What is b in -2/7*b**t - 2/7*b**3 + 2/7*b**2 + 2/7*b + 0 = 0?
-1, 0, 1
Let r(u) be the first derivative of -2/9*u**3 - 1/18*u**6 + 1/6*u**2 + 0*u + 2/15*u**5 + 0*u**4 - 1. Factor r(m).
-m*(m - 1)**3*(m + 1)/3
Let u(x) = -x**2 - 8*x + 15. Let l(d) = -2*d**2 - 8*d + 14. Let z(m) = 3*l(m) - 2*u(m). Solve z(b) = 0 for b.
-3, 1
Suppose 11*z = 6*z - 15. Let n be ((-10)/(-3) + z)*2. Determine a so that 1/3*a**5 - n*a**3 + 1/3*a - 1/3 + 2/3*a**2 - 1/3*a**4 = 0.
-1, 1
Find l such that -l**4 - 8*l**2 - 4*l + 4*l**3 + 0*l**4 - 1 + 2*l**2 - 8*l**3 = 0.
-1
Let g be (-1)/(-2)*8*1. Let z = -1 + g. Factor -1 + 3*s + 0*s**3 - z*s**2 + 0 + s**3.
(s - 1)**3
Let f(v) = -4*v - 1. Let w be f(-1). Let p(b) be the first derivative of 2 + 6*b**3 + 13*b**3 - 3*b**3 + w*b - 1 + 12*b**2. Suppose p(o) = 0. Calculate o.
-1/4
Suppose 0*m - 3*m = 0. Let c(o) be the third derivative of -1/270*o**6 - 1/27*o**3 - 2*o**2 + 0*o + 0*o**4 + m + 1/90*o**5. Solve c(p) = 0.
-1/2, 1
Suppose -3*q = 2*h + 8, 0 = h + 4*h + 4*q + 6. Let z(n) be the second derivative of -2*n + 1/5*n**3 - 1/30*n**4 - 2/5*n**h + 0. Factor z(l).
-2*(l - 2)*(l - 1)/5
Let v(b) be the third derivative of -5*b**5/36 - 5*b**4/6 - 10*b**3/9 - 36*b**2. Let v(z) = 0. What is z?
-2, -2/5
Suppose 3*z + 10*u - 5*u = -10, -u = -z + 2. Suppose z*f - 3*t - 66 = -4*f, 0 = -3*f - 4*t + 37. Factor 20*y + 4*y**3 + y**2 + f*y**2 + y**2 + 4.
(y + 2)**2*(4*y + 1)
Let o(s) be the second derivative of s + 3/20*s**5 + 0 - 3/2*s**3 + 3*s**2 + 0*s**4. Factor o(a).
3*(a - 1)**2*(a + 2)
Let 26/3*q**3 - 20/3*q**2 - 25/3*q + 0 + 4*q**4 - 3*q**5 = 0. What is q?
-1, 0, 5/3
Factor -6*f**3 - 4*f**3 - 3 - 9*f + 7*f**3 - 9*f**2.
-3*(f + 1)**3
Factor -6*v**2 + 2*v**2 + 6*v**2 - 2*v.
2*v*(v - 1)
Let g(k) be the second derivative of 0*k**4 + 0 - 1/168*k**7 + 0*k**2 - 8*k + 0*k**6 - 1/24*k**3 + 1/40*k**5. Suppose g(s) = 0. Calculate s.
-1, 0, 1
Let z be 2*(-7 + 1)/(-24). Suppose z - 3/4*h + 1/4*h**2 = 0. What is h?
1, 2
Let f be (4/(-906))/((-4)/6). Let d = f + 295/1057. Factor -d*t**2 - 2/7 - 4/7*t.
-2*(t + 1)**2/7
Suppose 0*n - 1 = n. Let i be n/(-2) - (-3 + 3). Factor -1/2*o**2 - i + o.
-(o - 1)**2/2
Factor -2/7*s**3 - 1/7*s**4 + 2/7*s + 0*s**2 + 1/7.
-(s - 1)*(s + 1)**3/7
Let f(g) = -2*g - 29. Let p be f(-16). Find y, given that 0*y**p - 2/11*y**5 + 0*y + 0*y**2 + 0*y**4 + 0 = 0.
0
Let u = 75 - 899/12. Let h(y) be the first derivative of u*y**6 - 1/16*y**4 - 3/20*y**5 - 1/8*y**2 + 1/4*y**3 + 0*y + 1. Let h(j) = 0. Calculate j.
-1, 0, 1/2, 1
Let d(c) be the second derivative of c**6/120 - c**4/8 - c**3/3 - c**2/2 + c. Let q(z) be the first derivative of d(z). Factor q(m).
(m - 2)*(m + 1)**2
Let m(o) be the third derivative of o**7/1260 + 11*o**6/720 + o**5/10 + o**4/9 - 16*o**3/9 - 11*o**2. Factor m(y).
(y - 1)*(y + 4)**3/6
Let d = 4 + -3. Factor d + 2 + 3*y**4 - y**2 - 5*y**2.
3*(y - 1)**2*(y + 1)**2
Let t(c) be the first derivative of c**8/1176 + 2*c**7/735 - c**5/105 - c**4/84 - 3*c**2/2 - 2. Let b(u) be the second derivative of t(u). Factor b(h).
2*h*(h - 1)*(h + 1)**3/7
Let d(r) = -r - 5. Let o be d(-5). Suppose p - 8 = -2*k - o*k, 0 = 5*k - 4*p - 7. Factor -5*g**3 + 2*g**3 + 4*g**k - g**2.
g**2*(g - 1)
Suppose -2/7*b**3 + 2/7 - 2/7*b**2 + 2/7*b = 0. Calculate b.
-1, 1
Let o(n) = -3987*n**3 - 2172*n**2 - 390*n - 24. Let x(a) = a - 6. Let d be x(12). Let c(f) = f**3 + f**2 + f. Let l(y) = d*c(y) - o(y). Factor l(z).
3*(11*z + 2)**3
Suppose 14 = s + 5*r, 4*s = 2*s - 4*r + 22. Let t = -9 + s. Factor -1/2*f**2 + t - 1/2*f + 1/2*f**3 + 1/2*f**4.
f*(f - 1)*(f + 1)**2/2
Factor 1/2*t**4 - 3/2*t + 0 - 1/2*t**2 + 3/2*t**3.
t*(t - 1)*(t + 1)*(t + 3)/2
Suppose -2*j - 2*j + 8 = 0. Let y(d) be the first derivative of -1/9*d**3 + 0*d + j - 1/6*d**2. Factor y(k).
-k*(k + 1)/3
Let l be 1 + (-6)/3 + 1. Let w(r) be the third derivative of -2*r**2 - 1/80*r**5 + 0*r + 0 + 0*r**3 + l*r**6 + 1/840*r**7 - 1/48*r**4. Factor w(x).
x*(x - 2)*(x + 1)**2/4
Let n(x) be the second derivative of 0 - x - 1/42*x**4 + 2/7*x**2 + 1/21*x**3. Factor n(b).
-2*(b - 2)*(b + 1)/7
Let r(w) be the first derivative of w**4/4 - w**3/3 + 7. Suppose r(u) = 0. What is u?
0, 1
Let g(w) be the third derivative of 0*w**4 + 4*w**2 + 0*w + 0 + 0*w**3 + 1/300*w**6 + 1/75*w**5. Factor g(k).
2*k**2*(k + 2)/5
Let f(y) be the first derivative of 4*y**3/3 + 8*y**2 + 16*y - 10. Factor f(a).
4*(a + 2)**2
Let i(z) = 6*z**3 - 16*z**2 + 6*z + 17. Let l(f) = -3*f**3 + 8*f**2 - 3*f - 8. Let p(g) = -6*i(g) - 13*l(g). Factor p(a).
(a - 2)*(a - 1)*(3*a + 1)
Let u(z) be the first derivative of -z**4/66 - z**3/11 + 4*z + 2. Let g(x) be the first derivative of u(x). What is d in g(d) = 0?
-3, 0
Let t be ((-146)/(-36) - 4)*-20. Let q = -32/45 - t. What is d in -q*d**2 - 8/5 - 8/5*d = 0?
-2
Let o(p) be the second derivative of -p**8/10080 - p**7/945 - p**6/216 - p**5/90 - p**4/6 + 3*p. Let j(v) be the third derivative of o(v). Factor j(c).
-2*(c + 1)**2*(c + 2)/3
Let c(u) = u**4 - u**3 - u**2 + 1. Let s(o) = -9*o**3 + 6*o + 3. Suppose 4*x = -x - 15. Let l(n) = x*c(n) + s(n). Find f, given that l(f) = 0.
-2, -1, 0, 1
Let x(g) = -2*g - 16. Let r(h) = h + 8. Let l(z) = -5*r(z) - 2*x(z). Let f be l(-8). Find m such that 2*m**5 + f*m**5 + 0*m**5 = 0.
0
Let b(l) be the first derivative of -l**4 + 6*l**2 - 8*l - 6. What is x in b(x) = 0?
-2, 1
Let t(p) be the second derivative of 0*p**2 + 1/4*p**4 + 3/20*p**5 + p + 0 - p**3. Let t(l) = 0. Calculate l.
-2, 0, 1
Suppose 0 = 16*o - 53 + 5. Let s(q) be the second derivative of -2/11*q**2 - o*q + 0 + 1/66*q**4 + 1/33*q**3. Factor s(z).
2*(z - 1)*(z + 2)/11
Let j(l) be the second derivative of -1/2*l**2 + 1/8*l**4 + 5/12*l**3 + 0 - l. Factor j(o).
(o + 2)*(3*o - 1)/2
Suppose -41*v**4 + 61*v**2 + 13*v**4 + 100 + 3*v**5 + 123*v**2 + 260*v - 8*v**3 + v**5 = 0. Calculate v.
-1, 5
Suppose -3*w + 8*w - 30 = 0. What is i in -w*i**2 + 11 + 4*i**3 - 3 - 2*i**3 = 0?
-1, 2
Let x(u) = u**2 - 8*u. Let r be x(8). Let t(s) be the third derivative of -2*s**2 + 0*s - 1/48*s**4 - 1/240*s**5 - 1/24*s**3 + r. Factor t(o).
-(o + 1)**2/4
Suppose -4*x + 2*u + 2*u = -8, 2 = u. Suppose -4 = -x*r + 4. Factor g**4 - 2 + 4 - 4*g**r + g**4.
2*(g - 1)**2*(g + 1)**2
Let g(v) = 2*v**2 - 2*v - 5. Let z be g(4). Find r such that 3*r - r + z*r**3 - 21*r**3 = 0.
-1, 0, 1
Suppose 4*n**2 - 2/3*n**4 + 2/3*n**3 - 16/3 - 8/3*n = 0. Calculate n.
-2, -1, 2
Suppose u - 6 + 12 = -2*m, 3*m = -6. Let h be (-12)/9*3/u. Factor -6*v**2 + 4*v + 2*v**2 - h*v.
-2*v*(2*v - 1)
Let f(c) = -c - 3. Let p be f(-6). Let a(y) be the first derivative of 5/3*y**p + 1/4*y**4 - 1/2*y**6 - y**5 + 0*y + y**2 - 2. Solve a(g) = 0.
-1, -2/3, 0, 1
Let v(a) be the third derivative of 3*a**6/80 + a**5/20 - 7*a**4/16 + a**3/2 + 11*a**2. Determine u so that v(u) = 0.
-2, 1/3, 1
Factor 0*m**3 - 2/11*m**2 + 1/11*m + 0 - 1/11*m**5 + 2/11*m**4.
-m*(m - 1)**3*(m + 1)/11
Factor 26/3*x - 14/3*x**2 + 2/3*x**4 - 2/3*x**3 - 4.
2*(x - 2)*(x - 1)**2*(x + 3)/3
Suppose 5*s = 2*h + 117, 5*s + 52 + 137 = -4*h. Let l be 2*(h/18 - -3). Determine b, given that l + 2/3*b + 1/3*b**2 = 0.
-1
Factor 0*m**2 + 0 + 0*m + m**5 - 3/2*m**4 - m**3.
m**3*(m - 2)*(2*m + 1)/2
Let j(w) = -w**2 - 8*w + 2. Let t be j(-8). Factor 5*h - 3*h + 4*h**3 - h**t - 3*h**3 + 4*h**2.
h*(h + 1)*(h + 2)
Let o(l) = l**2 - 11*l + 4. Let r be o(11). Let a(u) = -1. Let y(b) = -9*b**4 + 29*b**3 - 33*b**2 + 15*b + 2. Let d(c) = r*a(c) + y(c). Factor d(s).
-(s - 1)**3*(9*s - 2)
Let o(s) 