6, 0, 1
Let z be ((-222)/(-30) - 7)/(1/10). Determine x, given that 0*x + 0*x**2 + 0*x**3 + 0 - 1/5*x**z = 0.
0
Let y(o) = o**3 + 6*o**2 + 6*o + 5. Let h be y(-5). Suppose 3*n + 1 - 16 = h. Factor 2*c**5 + 20*c**2 - 2*c**5 + 20*c**3 + 10*c**4 + 2 + 10*c + 2*c**n.
2*(c + 1)**5
Factor 0*x**2 + 0*x + 1/5*x**4 - 1/5*x**3 + 0.
x**3*(x - 1)/5
Suppose 5 = 7*q - 9. Factor 2/7*u**5 - 4/7*u**q - 6/7*u**3 + 0*u**4 + 0*u + 0.
2*u**2*(u - 2)*(u + 1)**2/7
Let h(c) be the first derivative of -c**6/150 - c**5/50 + c**4/15 + 4*c**3/15 - 2*c + 1. Let m(s) be the first derivative of h(s). Solve m(y) = 0.
-2, 0, 2
Let r = -846 - -850. Find g, given that 0 + 4/3*g + 0*g**3 + 2/3*g**r - 2*g**2 = 0.
-2, 0, 1
Determine j, given that 3/7 + 1/7*j**2 + 1/7*j**3 - 5/7*j = 0.
-3, 1
Let g(d) be the second derivative of d**4/66 - 4*d**3/33 + 3*d**2/11 - 6*d. What is o in g(o) = 0?
1, 3
Let w(j) be the first derivative of -35*j**5/6 + 85*j**4/24 + 17*j**3/3 - j**2/3 - 4*j/3 - 5. Solve w(v) = 0.
-2/5, 2/7, 1
Let q(v) be the second derivative of -v**7/84 + v**6/10 - 13*v**5/40 + v**4/2 - v**3/3 + 15*v. Suppose q(a) = 0. Calculate a.
0, 1, 2
Suppose 6*m - 3*m = 93. Suppose -3*g**4 - 33*g**3 + m*g**3 + g**4 = 0. What is g?
-1, 0
Let p = 9 + -5. Suppose -f = -p*f + 21. Solve 9*a**2 - 5*a - f*a + 2 + 5*a - 5*a**3 + a**4 = 0 for a.
1, 2
Let i(s) be the first derivative of s**6/10 + 12*s**5/25 + 3*s**4/4 + 2*s**3/5 + 9. Let i(a) = 0. What is a?
-2, -1, 0
Let g(d) = d**2 + d - 1. Let t(f) = f**3 + 11*f**2 + 47*f + 9. Let c(o) = -g(o) - t(o). Let u(k) be the first derivative of c(k). Suppose u(v) = 0. What is v?
-4
Let h(p) be the third derivative of 1/315*p**7 - 3*p**2 + 0*p + 1/504*p**8 - 1/180*p**6 + 0 + 0*p**3 - 1/90*p**5 + 0*p**4. Let h(l) = 0. What is l?
-1, 0, 1
Let c(u) = -u**2 - u**2 + 0*u + 6*u. Let p = 10 - 6. Let t(n) = -3*n**2 + 7*n - 1. Let v(w) = p*t(w) - 3*c(w). Factor v(a).
-2*(a - 1)*(3*a - 2)
Let c(g) be the third derivative of g**6/120 - 3*g**5/20 + 5*g**4/6 - 2*g**3 + 23*g**2. Factor c(k).
(k - 6)*(k - 2)*(k - 1)
Suppose -2*t = t - 4*a, 3*a + 11 = 5*t. Let f(v) = 4*v + 56. Let y be f(-14). Solve -44/5*h**3 - 42/5*h**t + 2/5*h**2 + y + 4/5*h = 0.
-1, -1/3, 0, 2/7
Let t(u) be the first derivative of -u**5/30 + u**4/6 - 2*u**2 - 3. Let w(k) be the second derivative of t(k). Factor w(s).
-2*s*(s - 2)
Factor -2*j**2 - 5*j - 6*j**2 - 2*j**2 + 5*j**2.
-5*j*(j + 1)
Let m(n) be the third derivative of -n**6/80 + n**5/30 - n**4/48 + 14*n**2 + 1. Factor m(r).
-r*(r - 1)*(3*r - 1)/2
Suppose -5*r - 3 = 2. Let q be 14/6 - r/(-3). Solve -2*t**3 - 13*t**2 + 13*t**q + 2*t**4 = 0.
0, 1
Factor -1/4*y**2 + 3/4 - 1/2*y.
-(y - 1)*(y + 3)/4
Let o(q) = -6*q**3 - 26*q**2 - 18*q - 14. Let p(w) = -5*w - 38 - w - 9*w**2 + 33 - 2*w**3. Let z(s) = -3*o(s) + 8*p(s). Factor z(c).
2*(c + 1)**3
Let m = 2/5 + 1/10. Let q = 2/41 + 115/164. Solve -3/2*d**3 + 1/2*d**4 + m + q*d + 3/4*d**5 - d**2 = 0.
-1, -2/3, 1
Let m(q) = -7*q**2 - 22*q - 20. Let s(n) = -29*n**2 - 89*n - 80. Let x(t) = 9*m(t) - 2*s(t). Factor x(d).
-5*(d + 2)**2
Suppose 3*a + 9 = 2*m + 22, -3*m - 15 = -3*a. Let j be (-2 - -7)*m/(-5). Suppose 0 - 2/7*u**j - 2/7*u = 0. What is u?
-1, 0
Let o(j) be the second derivative of 3*j**5/20 - j**4/4 - j**3/2 + 3*j**2/2 - 17*j. Find t such that o(t) = 0.
-1, 1
Let z = 98 - 93. Let h(u) be the second derivative of 1/12*u**4 - 1/30*u**6 - 1/12*u**3 + 1/84*u**7 + 0 + 0*u**2 + 0*u**z - u. Suppose h(a) = 0. Calculate a.
-1, 0, 1
Let a(y) = -6*y**2 - 4 + 0*y - 4*y + 5*y**2 + 0*y. Let s(f) = -3*f**2 - 11*f - 11. Let c(b) = -11*a(b) + 4*s(b). Factor c(z).
-z**2
Suppose 2*n - 2*r + 45 = -3*n, n = -r - 2. Let t = 9 + n. Solve 2*z**t - z - 4*z**2 - z = 0.
-1, 0
Let g(c) be the first derivative of -5*c**3/3 + 15*c**2/2 - 10*c + 29. Let g(h) = 0. What is h?
1, 2
Let b = -23/42 - -5/6. Find m, given that -4/7*m**2 - b*m + 0 - 2/7*m**3 = 0.
-1, 0
Factor 2*d**2 + 0*d**4 + d**4 + 8*d**3 - 5*d**3.
d**2*(d + 1)*(d + 2)
Let u be 1/(1 + 21/(-17)). Let o = u + 9/2. Determine f so that -1/2*f**2 + o*f**4 + 1/4 + 0*f**3 + 0*f = 0.
-1, 1
Suppose 10 = l - 4*b, 5*l + 0 = -3*b + 4. Factor -16/5*o**l + 2*o**3 + 0 + 8/5*o - 2/5*o**4.
-2*o*(o - 2)**2*(o - 1)/5
Let h(n) be the second derivative of n**6/600 - n**5/150 + n**4/120 - n**2/2 + n. Let i(b) be the first derivative of h(b). Factor i(k).
k*(k - 1)**2/5
Let i(j) = -j**3 + 4*j**2 + 5. Let t be i(4). Let a = -61/2 - -31. Determine u so that u**2 + a*u**t + 0*u - 1/4 - 3/4*u**4 - 1/2*u**3 = 0.
-1, -1/2, 1
Let b be (-5398)/104 - (-24)/156. Let l = b + 52. Factor l*p**2 + 0*p + 1/4*p**3 + 0.
p**2*(p + 1)/4
Suppose -k - 3*k + 4*z = 56, 4*k = -3*z - 28. Let a(g) = g + 10. Let u be a(k). Determine l, given that 0 + u*l - 1/2*l**5 + 1/2*l**4 + 1/2*l**3 - 1/2*l**2 = 0.
-1, 0, 1
Factor 3/7 - 4/7*d + 1/7*d**2.
(d - 3)*(d - 1)/7
Let j(y) be the third derivative of 0*y**4 + 1/3*y**3 + 0*y - 1/180*y**6 + 0 + 1/60*y**5 - 4*y**2. Let f(c) be the first derivative of j(c). Factor f(m).
-2*m*(m - 1)
Let y(h) = -6*h - 7*h + 7 + 2*h + 11*h**2. Let f(t) = -5*t**2 + 5*t - 3. Let u be ((-2)/8 + 1)*-4. Let g(m) = u*y(m) - 7*f(m). Find p, given that g(p) = 0.
0, 1
Let g(i) be the first derivative of -i**8/7560 - i**7/3780 + i**6/540 + i**5/108 + i**4/54 + i**3/3 - 1. Let m(c) be the third derivative of g(c). Factor m(l).
-2*(l - 2)*(l + 1)**3/9
Factor 0*c + 2*c**4 - 1/5*c**5 - 5*c**3 + 0*c**2 + 0.
-c**3*(c - 5)**2/5
Suppose -30 = 2*i + 4*o, 4*i + 2*o - 3*o + 60 = 0. Let c be (5/i)/(2/(-12)). Solve -g**4 - 4*g**2 - c*g + g**2 + 3*g**2 + g**2 + 2*g**3 = 0.
-1, 0, 1, 2
Let k(b) = 6*b**2 + 8*b + 6. Let u(a) = 5*a**2 + 7*a + 5. Let l be 2*2*(0 + -1). Let t be (l/(-5))/(2/(-10)). Let o(f) = t*u(f) + 3*k(f). Factor o(h).
-2*(h + 1)**2
Let r(h) be the first derivative of -4*h**5/5 + 4*h**3 + 4*h**2 - 8. Solve r(z) = 0.
-1, 0, 2
Let l(u) = -28*u**2 + 24*u + 6. Let j(d) = 29*d**2 - 25*d - 7. Let b(a) = 2*j(a) + 3*l(a). Find p such that b(p) = 0.
-2/13, 1
Let n(y) be the first derivative of -1 - 4*y + 13*y**2 - 1/2*y**4 + 46/5*y**5 - 14*y**3 - 4*y**6. Let n(u) = 0. What is u?
-1, 1/4, 2/3, 1
Let p(b) be the third derivative of -1/12*b**4 - 5*b**2 + 0*b - 1/60*b**5 - 1/6*b**3 + 0. What is z in p(z) = 0?
-1
Let i be 1*(2 + 3) - 1. Suppose -q = -v - 6, 2*v + i = 3*q - 11. Factor j**2 - q*j**2 - 4*j**3 + 2 + 2*j + j**2 + 2*j**4 + 2*j**5 - 3*j**2.
2*(j - 1)**2*(j + 1)**3
Let p(w) be the second derivative of 2/3*w**3 - w**2 - 4*w - 1/6*w**4 + 0. Suppose p(x) = 0. What is x?
1
Let j(m) = m**3 + m + 1. Let q(i) = -9*i**3 + 7*i**2 - 3*i - 5. Suppose -12 = -4*d - 2*g, -4*g + 2 = -4*d - 10. Let w(v) = d*q(v) + 5*j(v). Factor w(z).
-z*(z - 2)*(4*z + 1)
Suppose -5*c + 11*c - 84 = 0. Let m be (c/(-5) + 3)*1. Factor m*u**3 + 0*u + 0 - 1/5*u**2.
u**2*(u - 1)/5
Let n = -965 - -969. Find v, given that 0*v**3 + 0 + 2/5*v**n - 2/5*v**2 + 0*v = 0.
-1, 0, 1
Let n = -2 - 1. Let l be n + 33/9 + 0. Factor l*j - 1/3 - 1/3*j**2.
-(j - 1)**2/3
Let u(q) be the second derivative of q**6/480 + q**5/80 + q**4/32 + q**3/24 + 3*q**2/2 + 4*q. Let l(v) be the first derivative of u(v). Factor l(r).
(r + 1)**3/4
Let b(t) be the first derivative of -2 + 0*t**2 + 4/5*t**5 + 0*t**3 + 1/2*t**4 + 1/3*t**6 + 0*t. Determine w so that b(w) = 0.
-1, 0
Let z = -10 + 9. Let l = 5/4 + z. Factor 0 - 1/4*s**2 + l*s**3 + 1/4*s**4 - 1/4*s.
s*(s - 1)*(s + 1)**2/4
Let p(r) be the second derivative of -3/4*r**3 - 4*r + 1/21*r**7 - 1/2*r**2 + 1/5*r**6 - 5/12*r**4 + 0 + 1/8*r**5. Suppose p(g) = 0. What is g?
-2, -1, -1/2, 1
Let w(y) = -3*y**5 - 7*y**4 + y**3 + 23*y**2 - 2*y - 14. Let h(t) = 3*t**5 + 6*t**4 - 24*t**2 + 3*t + 15. Let k(f) = 2*h(f) + 3*w(f). Solve k(j) = 0 for j.
-2, -1, 1
Let c(r) be the second derivative of r**8/5880 - r**7/1470 + r**6/1260 + r**3/2 - r. Let y(m) be the second derivative of c(m). Solve y(q) = 0.
0, 1
Let u(m) be the first derivative of 4/15*m - 1 + 1/5*m**2 + 2/45*m**3. Solve u(b) = 0.
-2, -1
Let o(g) = g**3 + g + 1. Let h(r) = -4*r**3 - 6*r - 5. Let s(v) = 2*h(v) + 10*o(v). Factor s(k).
2*k*(k - 1)*(k + 1)
Factor 12/5*n**2 - 3/5*n**3 + 0 - 12/5*n.
-3*n*(n - 2)**2/5
Let h(m) be the third derivative of -m**7/4200 + m**6/1200 - m**4/6 - 4*m**2. Let k(a) be the second derivative of h(a). Factor k(d).
-3*d*(d - 1)/5
Let u(s) be the