is g in b(g) = 0?
0, 1
Let p be (-12)/18 + (-4)/(-4). Factor -8/3*q - p*q**2 - 16/3.
-(q + 4)**2/3
Let y(z) be the first derivative of -14*z**5/55 - 5*z**4/11 + 2*z**3/33 + 4*z**2/11 + 27. Suppose y(x) = 0. Calculate x.
-1, 0, 4/7
Suppose 3*o + 0*o - 3*v = 15, 4*o = -5*v + 2. Factor 0*g + 0 + 1/3*g**o - 1/3*g**5 - 1/3*g**4 + 1/3*g**2.
-g**2*(g - 1)*(g + 1)**2/3
Suppose -2*k - 2*s - 2 = 0, -4*k - 8 = -2*k + 4*s. Let t(p) be the third derivative of 0*p**4 - 1/15*p**3 + 0 + 0*p + 1/150*p**5 - p**k. Factor t(c).
2*(c - 1)*(c + 1)/5
Let t(p) be the first derivative of -3*p**2 - 2 - 2/3*p**3 + 0*p. Factor t(r).
-2*r*(r + 3)
Let r(y) be the first derivative of y**5/180 - y**4/72 - 2*y**2 + 3. Let q(m) be the second derivative of r(m). Suppose q(k) = 0. Calculate k.
0, 1
Let y(g) = 8*g**3 - 2*g**2 - 2*g. Let m(x) = x**4 + x**3 + x**2 - x. Let k(z) = -4*m(z) + 2*y(z). Factor k(v).
-4*v**2*(v - 2)*(v - 1)
Let x(o) be the second derivative of -o**5/120 + o**4/24 - o**3/12 + 3*o**2 - 6*o. Let r(w) be the first derivative of x(w). Determine d, given that r(d) = 0.
1
Let j be 0 - (-6 - -3 - -1). Suppose -4*o - 3*v = -62, -3*o = j*o + 2*v - 74. Determine w so that -12 - 2*w + o*w - 3*w**2 + 0*w = 0.
2
Let s = -99 - -498/5. Factor 6/5*n - s*n**3 + 3/5*n**2 + 0.
-3*n*(n - 2)*(n + 1)/5
Let k(y) be the third derivative of y**7/1575 - y**6/225 + 2*y**5/225 - 11*y**2. Let k(d) = 0. What is d?
0, 2
Let g be 18/(-20) - (3/(-2) - 0). Factor -g + 3/5*y**3 + 9/5*y - 9/5*y**2.
3*(y - 1)**3/5
Factor 9/2 + 21/4*d**2 - 69/4*d.
3*(d - 3)*(7*d - 2)/4
Let f(l) be the first derivative of l**8/4200 + l**7/700 + l**6/300 + l**5/300 - l**3 + 1. Let q(o) be the third derivative of f(o). Factor q(i).
2*i*(i + 1)**3/5
Suppose -21*x + 8 = -19*x. Factor -1/5*h**x + 0*h + 0 - 2/5*h**3 - 1/5*h**2.
-h**2*(h + 1)**2/5
Let m(p) be the first derivative of p**4/3 - 2*p**3/3 - 4*p**2 - 8*p - 2. Let u(j) be the first derivative of m(j). Determine y so that u(y) = 0.
-1, 2
Suppose 14 = 2*p + 4. Factor -16*x + 3*x**5 - 48*x**2 - 24*x**4 - 3*x**p - 52*x**3 - 4*x**5.
-4*x*(x + 1)**2*(x + 2)**2
Let o(y) be the first derivative of y**4/12 - 2*y**3/3 + 2*y**2 + y - 3. Let x(c) be the first derivative of o(c). Factor x(p).
(p - 2)**2
Factor n + 1/5*n**4 - 2/5 - 3/5*n**2 - 1/5*n**3.
(n - 1)**3*(n + 2)/5
Suppose 2 = y - 0. Factor 3*k**5 - k**3 - y*k**3 + 2*k**4 - 2*k**4.
3*k**3*(k - 1)*(k + 1)
Let c(d) = -d + 1. Let o be c(-1). Let -20*v**o - 2*v - 4*v**3 + 3*v**4 + v**4 - 10*v = 0. What is v?
-1, 0, 3
Suppose -3*q + 0*z - z - 2 = 0, 4*q - 3*z - 6 = 0. Let k = 0 - q. Determine n so that -2/5*n**2 + k + 0*n - 2/5*n**3 = 0.
-1, 0
Let r(b) be the first derivative of 0*b**3 - 1/3*b**2 - 6 + 1/6*b**4 + 0*b. Factor r(i).
2*i*(i - 1)*(i + 1)/3
Let i = -18 + 30. Let u = 15 - i. Determine b so that -b**4 + 1/3*b**5 + 0*b + b**u + 0 - 1/3*b**2 = 0.
0, 1
Suppose -3 = -3*a + 3. Let o be (5 - a) + 3 - 4. Factor 4/3*s - o - 2/9*s**2.
-2*(s - 3)**2/9
Let m(l) be the third derivative of 0 + 1/210*l**5 + 0*l + 0*l**4 - 1/21*l**3 - 2*l**2. Suppose m(c) = 0. Calculate c.
-1, 1
Let v(c) = 11*c**5 + 4*c**4 - 2*c**3 - 5*c. Let t(x) = 17*x**5 + 6*x**4 - 3*x**3 - 8*x. Let o(u) = -5*t(u) + 8*v(u). Solve o(w) = 0 for w.
-1, 0, 1/3
Let t = -2696/3 + 899. Factor 0 - 1/3*i**2 + 0*i + t*i**4 + 0*i**3.
i**2*(i - 1)*(i + 1)/3
Let u(z) be the third derivative of -1/60*z**5 + 0 + 0*z**4 - 1/180*z**6 - 1/6*z**3 + 0*z - z**2. Let p(k) be the first derivative of u(k). Factor p(g).
-2*g*(g + 1)
Let a = 58 + -54. Let t(f) be the first derivative of 0*f + 0*f**2 - 7/2*f**a - 4/3*f**3 - 2 - 2*f**5. Suppose t(b) = 0. Calculate b.
-1, -2/5, 0
Let y be (-14)/(-7)*1/(-15)*-1. Let h(x) be the first derivative of 2/3*x**2 + 2/3*x**4 + 0*x + 1 - 10/9*x**3 - y*x**5. Factor h(t).
-2*t*(t - 2)*(t - 1)**2/3
Factor 0 + 8/3*d + 4/3*d**2.
4*d*(d + 2)/3
Let f(k) = 2*k**2 - 3*k - 5. Let t(u) = -3*u**2 + 6*u + 9. Let o(p) = 5*f(p) + 3*t(p). Factor o(a).
(a + 1)*(a + 2)
Factor 0*k - 6/5*k**3 + 0*k**2 + 2/5*k**4 + 0.
2*k**3*(k - 3)/5
Let l be (-5 + (-42)/(-12))/((-6)/10). Factor x**2 + 1 + l*x - 1/2*x**5 - 2*x**4 - 2*x**3.
-(x - 1)*(x + 1)**3*(x + 2)/2
Suppose -3*n - 4*r = 12, -3*n = -0*n + 3*r + 15. Let j(z) = 4*z**2 + 9*z + 8. Let g(c) = -12*c**2 - 28*c - 24. Let b(l) = n*j(l) - 3*g(l). Factor b(m).
4*(m + 1)*(m + 2)
Let o(t) be the first derivative of t**5/5 - t**4/4 - 2*t**3/3 - 4. Factor o(b).
b**2*(b - 2)*(b + 1)
Suppose -5*y - 3*x + 0 = 2, -2*y = 5*x + 16. Let -1/4*c + 0 - 1/2*c**y - 1/4*c**3 = 0. Calculate c.
-1, 0
Suppose 0*f + 0 - 1/7*f**2 = 0. What is f?
0
Let p(g) be the third derivative of g**7/420 + g**6/6 + 5*g**5 + 250*g**4/3 + 2500*g**3/3 - g**2 - 3*g. What is v in p(v) = 0?
-10
Let a(j) be the first derivative of 1/4*j**4 + 0*j + 0*j**2 - 2/3*j**3 + 1/5*j**5 - 1. Factor a(c).
c**2*(c - 1)*(c + 2)
Suppose 4*q - 5*s + 44 = 0, s + 14 - 48 = 5*q. Let a = q + 8. Suppose 2/3*n**a + 4/3 + 2*n = 0. What is n?
-2, -1
Let o = -159 + 639/4. Let -o*f**2 + 1/4*f**4 + 1/2*f + 0*f**3 + 0 = 0. What is f?
-2, 0, 1
Let a(x) be the second derivative of -x**7/98 - x**6/70 + 3*x**5/28 + x**4/28 - 4*x**3/7 + 6*x**2/7 - 10*x. Suppose a(f) = 0. Calculate f.
-2, 1
Let a = 73/2 + -35. Let t(g) be the first derivative of 0*g**2 + a*g**5 + 0*g - 1 - 11/8*g**4 + 1/3*g**3. Suppose t(w) = 0. What is w?
0, 1/3, 2/5
Determine f so that 2*f - 5*f**2 + 0*f**2 + f**2 + 18*f - 16 = 0.
1, 4
Let t(l) be the first derivative of -l**3/12 - 3*l**2/2 - 9*l - 16. Determine y so that t(y) = 0.
-6
Find c, given that -1 + 5/2*c**2 - 3/2*c = 0.
-2/5, 1
Let c = -3767/6 - -628. Let -c*n**5 - 5/6*n - 1/6 - 5/6*n**4 - 5/3*n**3 - 5/3*n**2 = 0. What is n?
-1
Suppose v - 5*v = -16. Solve 1 + 0 + c**v + 0*c - 2 + 2*c**3 - 2*c = 0.
-1, 1
Let q(v) = -5*v**2 - 11*v + 6. Let x(o) = 9*o + 7*o**2 + 3*o - 7 - 3*o**2. Let s(w) = -5*q(w) - 4*x(w). Let s(u) = 0. Calculate u.
-1, 2/9
Let g(m) = m**2 - 1. Let k(c) = -1. Let f(n) = 7. Let s(x) = -f(x) - 6*k(x). Let u(q) = -2*g(q) + 2*s(q). Let u(y) = 0. Calculate y.
0
Let w(i) = -91*i - 2. Let l be w(-1). Determine h, given that 85*h**4 - l*h**4 - h**3 - 3*h**3 = 0.
-1, 0
Let f(n) be the first derivative of -n**4/8 + n**2/4 + 7. Solve f(z) = 0 for z.
-1, 0, 1
Let b(a) be the third derivative of a**8/11200 + a**7/4200 + a**4/6 - 4*a**2. Let h(j) be the second derivative of b(j). Factor h(q).
3*q**2*(q + 1)/5
Suppose 0 = -4*j + 4. Let t be (j/3)/(4/24). Factor 0*g - 2/7*g**3 + 0 + 0*g**t.
-2*g**3/7
Let s(b) = b**4 - b**3 - b**2 - b - 1. Let h(v) = 20*v**4 - 10*v**3 - 20*v**2 - 20*v - 15. Let a(l) = h(l) - 15*s(l). Let a(u) = 0. Calculate u.
-1, 0, 1
Let i(s) be the third derivative of -8*s**2 - 1/6*s**4 + 0*s - 1/30*s**5 + 0*s**3 + 1/60*s**6 + 0. Solve i(l) = 0.
-1, 0, 2
Suppose 0 = -8*s + 7*s. Let n(t) be the first derivative of -1/6*t**6 + 0*t + 1/5*t**5 + 0*t**4 + 0*t**3 + s*t**2 - 1. Factor n(r).
-r**4*(r - 1)
Let h(g) be the second derivative of -g**4/42 + 2*g**3/7 - 9*g**2/7 + 9*g. Factor h(u).
-2*(u - 3)**2/7
Suppose f + 3*b + 3 = 0, b + 36 = 5*f - b. Let u be (2/f*-1)/(-1). Let 1/3*d + 0 + 2/3*d**2 - u*d**5 + 0*d**3 - 2/3*d**4 = 0. What is d?
-1, 0, 1
Let q(p) be the second derivative of 1/210*p**5 + 0 - p**2 - p + 0*p**3 + 0*p**4. Let g(d) be the first derivative of q(d). Factor g(x).
2*x**2/7
Let f(m) = -10*m + 2. Let z(v) = v**2 - 20*v + 5. Suppose 0 = -5*l - 0 - 25. Let h(o) = o - 1. Let w be h(l). Let c(t) = w*z(t) + 13*f(t). Factor c(d).
-2*(d + 1)*(3*d + 2)
Let m = 55 + -55. Let x(u) be the second derivative of 1/2*u**2 + 1/6*u**3 + m + 1/42*u**7 + u + 1/30*u**6 - 1/10*u**5 - 1/6*u**4. Find q, given that x(q) = 0.
-1, 1
Let b(p) = p**4 - p**3 + p**2 + p + 1. Let x(n) = 18*n - 2*n**4 + 21*n**3 - 19*n + 16*n - n**4 + 21*n**2. Let m(o) = 6*b(o) + x(o). Let m(w) = 0. Calculate w.
-2, -1
Solve 2/9*j**5 - 14/9*j**2 + 2*j**3 + 4/9*j - 10/9*j**4 + 0 = 0 for j.
0, 1, 2
Suppose 15 = -30*i + 35*i. Suppose -g + 3*g - 4 = 4*p, -2*p + i*g = 6. What is t in -1/2*t**2 + t**3 - 1/2*t**4 + 0 + p*t = 0?
0, 1
Let q(j) be the second derivative of -2*j**7/7 + 4*j**6/15 + 6*j**5/5 - 4*j**4/3 - 2*j**3 + 4*j**2 + 24*j. Let q(d) = 0. What is d?
-1, 2/3, 1
Let u(a) be the third derivative of -a**5/30 + a**4/4 + 4*a**3/3 + 6*a**2. Solve u(t) = 0.
-1, 4
Suppose -2*p + m = 