of h(a). Determine q, given that b(q) = 0.
-2, 0
Factor -2/9*a**2 + 0*a + 0.
-2*a**2/9
Let g(d) be the second derivative of d**4/12 - 9*d. Solve g(m) = 0.
0
Let u(d) be the first derivative of -3/8*d**4 + 0*d**3 + 0*d**2 + 0*d + 1. Determine q, given that u(q) = 0.
0
Let i(s) be the third derivative of s**6/300 - s**4/20 + 2*s**3/15 - s**2. Factor i(n).
2*(n - 1)**2*(n + 2)/5
Let x(j) be the first derivative of -j**5/5 + j**4/4 + j**3 - j**2/2 - 2*j + 57. Factor x(r).
-(r - 2)*(r - 1)*(r + 1)**2
Let u(w) = 2*w**2 - 82*w + 974. Let x(o) = o + 1. Let a(r) = u(r) - 6*x(r). Factor a(t).
2*(t - 22)**2
Let g(q) be the first derivative of 5*q**4/4 + 5*q**3/3 - 5*q**2/2 - 5*q + 9. Solve g(d) = 0 for d.
-1, 1
Let a(k) be the second derivative of k**5/10 + 5*k**4/6 + 8*k**3/3 + 4*k**2 + 7*k - 1. Determine u so that a(u) = 0.
-2, -1
Suppose -5*c + 3 + 7 = 0. Let -5*x**2 + 3*x**2 + x + c*x - 8 + 5*x = 0. Calculate x.
2
Let m(g) be the third derivative of g**7/210 + g**6/160 - g**5/240 + 12*g**2. Factor m(k).
k**2*(k + 1)*(4*k - 1)/4
Factor -3/5*f**4 + 0 + 0*f + 6/5*f**2 - 3/5*f**3.
-3*f**2*(f - 1)*(f + 2)/5
Let o(t) = -t**2 + t + 6. Let m be o(-2). Let s(k) be the first derivative of -2/5*k + 2/15*k**3 + m*k**2 - 2. Find b, given that s(b) = 0.
-1, 1
Let l be -1 - (2 + 0)/2. Let d = 2 + l. Factor -2/9*v + 2/9*v**3 + 2/9*v**4 - 2/9*v**2 + d.
2*v*(v - 1)*(v + 1)**2/9
Let -5/2*j + 0 + 5/4*j**4 + 0*j**3 - 15/4*j**2 = 0. What is j?
-1, 0, 2
Let u(d) be the third derivative of d**6/60 + d**5/15 + 17*d**2. Let u(y) = 0. What is y?
-2, 0
Factor -8/5 - 8/5*r - 2*r**3 + 26/5*r**2.
-2*(r - 2)*(r - 1)*(5*r + 2)/5
Suppose 3*r - 3*g - 6 = -15, 0 = -5*r + 4*g - 12. Solve -10/9*c**3 + 4/9*c**4 + 0*c - 4/9*c**2 + r + 10/9*c**5 = 0 for c.
-1, -2/5, 0, 1
Let t = 1/35 - -6/35. Suppose 0 + 0*n**3 - 1/5*n**2 + 0*n + t*n**4 = 0. Calculate n.
-1, 0, 1
Let 0 + 1/4*g**2 + 0*g + 1/2*g**3 + 1/4*g**4 = 0. What is g?
-1, 0
Let y be 1 + -2 + (-1490)/15. Let p = y - -317/3. What is x in 325/3*x**4 + p*x - 152/3*x**2 + 16/3 - 125/3*x**5 - 80/3*x**3 = 0?
-2/5, 2/5, 1, 2
Let t be 3 + ((-87)/6 - -1). Let u = 11 + t. Factor 1/2*c**3 + 0 - u*c + 0*c**2.
c*(c - 1)*(c + 1)/2
Let n(f) be the first derivative of -1/420*f**6 + 4/21*f**3 - 4 - 1/70*f**5 + 5/2*f**2 + 0*f**4 + 0*f. Let b(i) be the second derivative of n(i). Factor b(k).
-2*(k - 1)*(k + 2)**2/7
Let y(b) be the first derivative of b**7/105 - 11*b**6/60 + 6*b**5/5 - 4*b**4/3 - 10*b**3/3 - 2. Let u(w) be the third derivative of y(w). Factor u(p).
2*(p - 4)**2*(4*p - 1)
What is l in -4*l + 3*l**2 + 0*l**2 + 8*l - 10*l = 0?
0, 2
Factor -16/7*h**2 - 26/7*h - 2/7*h**3 - 12/7.
-2*(h + 1)**2*(h + 6)/7
Let m(w) be the second derivative of -w**7/168 - w**6/20 - 13*w**5/80 - w**4/4 - w**3/6 + 7*w. Factor m(v).
-v*(v + 1)**2*(v + 2)**2/4
Let h be (3 + (-51)/19)*3. Let u = -14/95 + h. Determine j so that -2*j - 2/5*j**3 - 8/5*j**2 - u = 0.
-2, -1
Let n(z) be the first derivative of -2*z**6/3 + 16*z**5/5 - 64*z**3/3 + 32*z**2 - 64. Find d, given that n(d) = 0.
-2, 0, 2
Let z(i) be the first derivative of -1/6*i**4 - 2 - 1/3*i - 1/15*i**5 + 2/9*i**3 + 1/18*i**6 + 1/6*i**2. Suppose z(p) = 0. What is p?
-1, 1
Let i = 284 + -2554/9. Factor i*v + 2/9*v**3 - 4/9*v**2 + 0.
2*v*(v - 1)**2/9
Let r be (3/(-6))/(2/4). Let b = r + 1. Factor -2/5*x**2 + b + 2/5*x.
-2*x*(x - 1)/5
Let t(l) = -l**2 - l. Let y(c) = 4*c**2 + 7*c. Let u(x) = -15*t(x) - 3*y(x). Determine h so that u(h) = 0.
0, 2
Let k(x) be the third derivative of x**8/2856 + 2*x**7/1785 - x**5/255 - x**4/204 - 3*x**2. Factor k(s).
2*s*(s - 1)*(s + 1)**3/17
Let t(h) be the first derivative of 0*h**4 + 0*h - 3 + 3*h**2 + 3/5*h**5 - 3*h**3. Suppose t(g) = 0. What is g?
-2, 0, 1
Let v(m) be the second derivative of -2*m**3 - 11/4*m**4 + 6*m**2 + 3*m**5 + 0 - 11/10*m**6 + 1/7*m**7 + 4*m. Find q, given that v(q) = 0.
-1/2, 1, 2
Let i(z) = z**2 + z - 4. Suppose 2*a = 4 + 2. Let q be i(a). Suppose v**3 + 0*v - 9 + v**2 - v + q = 0. Calculate v.
-1, 1
Let u(o) be the first derivative of 2/9*o**3 - 4 + 2/3*o - 2/3*o**2. Find b such that u(b) = 0.
1
Let b(n) = 2*n**3 - 11*n**2 + 10*n - 4. Let x(d) = 2*d**3 - 10*d**2 + 10*d - 4. Let l(v) = -2*b(v) + 3*x(v). Factor l(z).
2*(z - 2)*(z - 1)**2
Let y(z) be the second derivative of -z**4/6 + 4*z**3/3 - 3*z**2 + 12*z. Determine a, given that y(a) = 0.
1, 3
Let b = -531065/96 - -5532. Let k(c) be the third derivative of -1/48*c**5 + 2*c**2 - b*c**4 + 0*c - 1/12*c**3 + 0. Factor k(d).
-(d + 1)*(5*d + 2)/4
Let v(d) = d**3 + d**2 - d. Let z(w) = -3*w**3 + w**2 + 5*w. Let l(n) = -2*v(n) - 2*z(n). Determine x so that l(x) = 0.
-1, 0, 2
Let n(a) be the third derivative of -a**6/30 - 2*a**5/15 - a**4/6 - 2*a**2. Let n(g) = 0. Calculate g.
-1, 0
Suppose 2*f + 4*h = 4, -f + h = 4*h - 2. Suppose -f*c - 3*s + 11 = -4*c, 4*c + 5*s = 33. Factor -i - 1/2*i**c + 0.
-i*(i + 2)/2
Suppose 3 = 2*l - l - 4*m, -2*m = -2*l + 6. Suppose -8/15*g**2 + 0*g + 0 - 2/5*g**4 - 16/15*g**l = 0. Calculate g.
-2, -2/3, 0
Let f = 12 - 29. Let o = -11 - f. Factor 0*n**4 + 3/2*n**5 - 3 - o*n**3 + 9/2*n + 3*n**2.
3*(n - 1)**3*(n + 1)*(n + 2)/2
Let l(t) be the first derivative of t**5 + 15*t**4/4 + 5*t**3/3 - 15*t**2/2 - 10*t - 2. Factor l(b).
5*(b - 1)*(b + 1)**2*(b + 2)
Let t(r) = -3*r**3 - 6*r**2 - 3*r. Let f(g) = g**3 + g**2 - g - 1. Let z(w) = 4*f(w) - 4*t(w). Factor z(v).
4*(v + 1)**2*(4*v - 1)
Let b(f) = 4*f**2 - 2*f + 4. Let y be (2 - 7 - 0) + 0. Let m(z) = 9*z**2 - 3*z + 9. Let s(n) = y*b(n) + 2*m(n). Determine k so that s(k) = 0.
1
Let f(k) = k + 16. Let w be f(-13). Determine o, given that 0*o**2 - 1/2*o**w + 1 + 3/2*o = 0.
-1, 2
Let x(k) be the first derivative of -k**6/18 + k**5/15 + k**4/12 - k**3/9 + 17. Factor x(q).
-q**2*(q - 1)**2*(q + 1)/3
Let p(w) = 2*w**3 - w**2 - w. Let s(c) = c**2 - c. Let f(h) = -p(h) + 5*s(h). Solve f(a) = 0 for a.
0, 1, 2
Let a(c) be the third derivative of c**9/1512 + c**8/420 + c**7/420 - c**3/2 - 4*c**2. Let u(d) be the first derivative of a(d). Factor u(k).
2*k**3*(k + 1)**2
Let r = 0 - -2. Suppose 0 = r*s - 0*s. Factor -1/4*g + 0 + 1/4*g**3 + s*g**2.
g*(g - 1)*(g + 1)/4
Let v(j) = 2*j**3 - 2*j**2 - j - 2. Let k be v(2). Factor x + 5 - 3*x**2 - k*x + 1.
-3*(x - 1)*(x + 2)
Suppose -2*q - 2*q = -16. Suppose 3*l**5 - 4*l**5 - 2*l**4 - l**5 + 2*l**3 - 2*l**2 + q*l**2 = 0. What is l?
-1, 0, 1
Suppose 36/5*o**2 - 216/5*o + 432/5 - 2/5*o**3 = 0. Calculate o.
6
Let o be (-10)/(-3)*(-6)/(-2). Suppose -6*x + o = -x. Factor x*y**2 - 2*y**2 + 2 - 2*y**2.
-2*(y - 1)*(y + 1)
Let q(l) be the second derivative of -l**6/15 + 9*l**5/20 - 5*l**4/6 + l**3/2 + 37*l. Let q(a) = 0. What is a?
0, 1/2, 1, 3
Let i(v) = -4*v**2 + 50*v - 20. Let s be i(12). Let -2/7*n**3 + 2/7*n**2 - 6/7*n**5 + 0*n + 0 - 10/7*n**s = 0. What is n?
-1, 0, 1/3
Let h(y) be the second derivative of -2*y**6/15 + y**5/5 - 9*y. Factor h(k).
-4*k**3*(k - 1)
Let n(t) be the first derivative of -t**6/60 + t**5/20 + t**4/24 - t**3/6 - 3*t - 2. Let i(z) be the first derivative of n(z). Determine k, given that i(k) = 0.
-1, 0, 1, 2
Let w(k) = k**2 + k - 1. Let m(g) = -7*g**2 + 9*g + 3. Let l(z) = m(z) + 3*w(z). Solve l(h) = 0.
0, 3
Let o(c) = c**3 - 5*c**2 + c + 3. Let h be o(5). Let s be h/(-44) - (-2)/11. Let 2/7*r**4 + 0*r + s*r**2 + 0 + 2/7*r**3 = 0. Calculate r.
-1, 0
Suppose -3*r = 2*r. What is y in y**3 + r*y**3 - 2*y**3 + 2*y**2 - 3*y**3 = 0?
0, 1/2
Let s(h) be the third derivative of -h**8/60480 - h**7/3024 - h**6/540 - 2*h**5/15 - h**2. Let d(b) be the third derivative of s(b). Factor d(n).
-(n + 1)*(n + 4)/3
Suppose 3*i + 0*i - 2*v = 8, -i - 3 = 5*v. Factor -r**i - 3*r - 1 - r**3 + 3*r**2 + 0*r**2 - 5*r**2.
-(r + 1)**3
Let l(i) be the second derivative of -i**6/600 - 5*i**2/2 - 5*i. Let g(s) be the first derivative of l(s). Solve g(p) = 0.
0
Let v(q) be the first derivative of 2/5*q**4 + 0*q - 2/5*q**5 - 2/15*q**3 - 1 + 0*q**2 + 2/15*q**6. Factor v(k).
2*k**2*(k - 1)**2*(2*k - 1)/5
Suppose -2*b - 2*b = 5*z + 11, -2*z = -b + 7. Let a be 0/((-3)/3 - b). Suppose a + 0*w + 2/3*w**2 = 0. What is w?
0
Let o(g) = 5*g**4 + 8*g**3 + 7*g**2 - 8*g. Let f(y) = -9*y**4 - 15*y**3 - 13*y**2 + 15*y + 1. Let w(z) = 4*f(z) + 7*o(z). Factor w(i).
-(i - 1)*(i + 1)*(i + 2)**2
Let c = -7/15 - -4/5. Find l, given that 0*l + 1/