 6. Let q(s) = 13*m(s) - 6*x(s). Factor q(g).
g**2*(g - 1)
Let k = -90 + 92. Suppose 2/5 + 18/5*d**k - 12/5*d = 0. What is d?
1/3
Let d(g) be the third derivative of 0 - 2*g**2 - 3/100*g**5 + 0*g**4 + 0*g**3 - 1/1050*g**7 + 0*g - 1/100*g**6. Factor d(n).
-n**2*(n + 3)**2/5
Let a(j) = 10*j + 18. Let u be a(-6). Let y be 12/(-21)*u/12. Factor 1/4*o**y - 1/2*o + 1/4.
(o - 1)**2/4
Let i(z) = -z**2 - 1. Let g(a) = a**2 + 2. Let h(x) = -2*g(x) - 3*i(x). Let c(q) = -5 + 0 + 2*q**2 + 3. Let j(v) = 5*c(v) - 8*h(v). Solve j(r) = 0 for r.
-1, 1
Let m(k) be the second derivative of 2/3*k**3 + 0*k**2 + 1/3*k**4 + 1/20*k**5 + 0 - k. Suppose m(x) = 0. What is x?
-2, 0
Let q(o) be the third derivative of o**6/210 + 2*o**5/105 - o**4/42 - 4*o**3/21 + 11*o**2. Factor q(a).
4*(a - 1)*(a + 1)*(a + 2)/7
Let b(h) be the third derivative of 1/420*h**6 + 0*h**3 + 1/210*h**5 + 0*h**4 + 3*h**2 + 0 + 0*h. Solve b(y) = 0 for y.
-1, 0
Let m be -4*2/(-60) - (-387)/135. Let d(x) be the first derivative of -4*x + 2/3*x**m - 1 + x**2. Factor d(r).
2*(r - 1)*(r + 2)
Let h be -3 + (0 - (-591)/162). Let x = h + 1/54. Suppose -2/3 - x*w**2 - 4/3*w = 0. Calculate w.
-1
Suppose -g = 9 - 51. Factor 10*k**3 - g*k**2 - 16 + 6*k**2 + 4*k**3 - k**4 + 40*k - k**4.
-2*(k - 2)**3*(k - 1)
Let r(b) be the third derivative of -b**8/112 + b**7/10 - 19*b**6/40 + 5*b**5/4 - 2*b**4 + 2*b**3 - 25*b**2. Determine u so that r(u) = 0.
1, 2
Let f be (-72)/(-27) + -1 + (-29)/(-15). What is l in -2/5*l**2 + 12/5*l - f = 0?
3
Let v(b) = b**2 + b - 1. Let m = 3 - 2. Let s(a) = 9*a**3 - 15*a**2 - 27*a + 15. Let h(u) = m*s(u) + 18*v(u). Let h(n) = 0. Calculate n.
-1, -1/3, 1
Let m(x) be the second derivative of -4*x**7/147 - x**6/35 + x**5/70 + 13*x. Find b, given that m(b) = 0.
-1, 0, 1/4
Suppose 3*i - 2 = v + 6, 0 = 4*i - 3*v - 14. Solve 0 - 2/11*s**i + 4/11*s = 0.
0, 2
Let w be (36/16 - 1) + -1. Solve -1/4*o + w*o**3 - 1/4 + 1/4*o**2 = 0.
-1, 1
Let b(k) = 6 - 7*k - 5*k + 6*k**2 - 6 + 6. Let g = 36 + -52. Let d(w) = -2*w**2 + 4*w - 2. Let i(v) = g*d(v) - 5*b(v). Factor i(o).
2*(o - 1)**2
Suppose 5*g - 10 = -4*s, 0*s = -5*g + 5*s + 10. Let -2 - 4*i**g + 2*i + 6*i**4 + 4*i**3 + 6*i - 14*i + 2*i**5 = 0. Calculate i.
-1, 1
Let z = -67/12 + 23/4. Determine v so that -1/6*v - 1/6*v**2 + 1/6*v**3 + z = 0.
-1, 1
Solve -4*b + 2*b + 36*b**2 + 4 - 38*b**2 = 0.
-2, 1
Let j(w) be the first derivative of 2 + 3/10*w**4 - 1/5*w**2 - 4/25*w**5 + 0*w + 0*w**3. Factor j(f).
-2*f*(f - 1)**2*(2*f + 1)/5
Let y(h) be the third derivative of -h**6/80 - h**5/20 - 11*h**2. Factor y(m).
-3*m**2*(m + 2)/2
Let x(i) be the first derivative of -3*i**5/5 + 7*i**4/4 + i**3 + 4*i + 3. Let p(t) be the first derivative of x(t). Solve p(m) = 0.
-1/4, 0, 2
Factor 2085/2*k**3 + 294*k + 125/2*k**5 + 36 + 859*k**2 + 450*k**4.
(k + 3)**2*(5*k + 2)**3/2
Find f, given that 25*f**3 - 51*f**2 - 9*f**5 + 28*f + 6*f**4 - 6*f**4 + 11*f**4 - 4 = 0.
-2, 2/9, 1
Let g = 173/5 - 1537/45. Suppose 0 = 6*n - 3*n - 6. Find h such that 2/9*h**n + g*h + 2/9 = 0.
-1
Suppose 0 = v + 2*i + 7, v - 2*i = -5*i - 12. Find m such that -2*m + m**2 - 4*m**4 + m - 7*m**v - 2*m**3 - 7*m**2 = 0.
-1, -1/4, 0
Let -48/5 - 24/5*d - 3/5*d**2 = 0. Calculate d.
-4
Determine y, given that -2/3 - 2*y + 2*y**4 + 4/3*y**3 + 2/3*y**5 - 4/3*y**2 = 0.
-1, 1
Let i(f) be the first derivative of 3*f**2/2 - 3*f - 1. Let u be i(2). Determine b, given that -1/3*b**5 + 0*b + 0 + 0*b**2 + 0*b**4 + 1/3*b**u = 0.
-1, 0, 1
Let y(m) be the first derivative of 21*m**4/4 + 2*m**3 - 14. Find d, given that y(d) = 0.
-2/7, 0
Let f = -4 - -8. Suppose -f*r + 10 = 3*s - 2*r, 4*s - 5 = -r. Determine a so that 3 + 0*a + 6*a + 2*a**2 + s*a + 1 = 0.
-2, -1
Factor 3/5*b**3 - 21/5*b**2 + 48/5*b - 36/5.
3*(b - 3)*(b - 2)**2/5
Suppose 9*n**2 + 2355*n**3 - 2364*n**3 - 4*n**4 + n**4 + 33*n + 18 = 0. What is n?
-3, -1, 2
Let j(x) be the first derivative of -12*x**5/35 - 39*x**4/28 - 11*x**3/7 - 3*x**2/7 + 21. Solve j(r) = 0.
-2, -1, -1/4, 0
Let s(i) be the second derivative of 1/6*i**3 + 0 + 0*i**2 + 1/8*i**4 - 27/40*i**5 - 7/15*i**6 - i. Find p such that s(p) = 0.
-1, -1/4, 0, 2/7
Let y be 10 + (-1 - 1) - 2. Suppose y*a - 8 = 4*a. What is o in -o**2 - 10*o - o**2 + a*o - 4 = 0?
-2, -1
Let z(g) be the second derivative of -g**6/225 - 2*g**5/75 - g**4/18 - 2*g**3/45 - 2*g. Factor z(a).
-2*a*(a + 1)**2*(a + 2)/15
Let q = 138811/210 - 661. Let x(o) be the third derivative of -1/15*o**5 + 0 + 0*o**3 - q*o**7 + 2*o**2 - 1/30*o**6 + 0*o**4 + 0*o. Find m such that x(m) = 0.
-2, 0
Suppose 26 + 22 = 4*i. Let s be (4/(-25))/(i/(-360)). What is w in 38/5*w**3 + s*w**5 - 22/5*w + 62/5*w**4 - 4/5 - 18/5*w**2 = 0?
-1, -1/4, 2/3
Suppose o - 3 = 1. Let f = -3/16 - -7/16. Factor -1/4*h**2 + 0*h - 1/4*h**5 + 0 + f*h**o + 1/4*h**3.
-h**2*(h - 1)**2*(h + 1)/4
Suppose -4*d - 2*k = -16, 7*k = 5*d + 2*k - 20. Factor -2/9*t**d + 2/9 + 0*t**2 + 4/9*t**3 - 4/9*t.
-2*(t - 1)**3*(t + 1)/9
Find o, given that -o**4 - 3*o**3 + 2*o + 14 - o**2 - 12 + o = 0.
-2, -1, 1
Let r(n) = -n**2 - 7*n + 9. Let t be r(-7). Factor -6 - 4*f**3 - 4*f**4 + 12*f**2 - 2 - 5*f + t*f.
-4*(f - 1)**2*(f + 1)*(f + 2)
Let n = -4 + 9/2. Let p(u) be the first derivative of -1 - 1/6*u**3 + n*u + 0*u**2. What is v in p(v) = 0?
-1, 1
Let j = 435 + -4359/10. Let t = j - -7/5. Solve 1/2 + 3/2*u + 3/2*u**2 + t*u**3 = 0.
-1
Suppose -6*n + 6 = -3*n. Let k(j) be the third derivative of 0 - 1/12*j**5 + n*j**2 + 0*j + 1/24*j**4 + 0*j**3 + 1/30*j**6. Factor k(s).
s*(s - 1)*(4*s - 1)
Let j be (-4)/((-3 - -5) + -3). Suppose 0*w + 25 = w - 5*y, -w + j*y = -20. Suppose 1/2*l**3 + l**4 + 0 + w*l**2 + 1/2*l**5 + 0*l = 0. Calculate l.
-1, 0
Let w = -383/2 - -193. Factor -w*b**3 + 0 - 1/2*b**4 - 3/2*b**2 - 1/2*b.
-b*(b + 1)**3/2
Let z(x) = x**5 + 5*x**4 + 3*x + 3. Let o = 2 + 1. Let l(g) = -g**4 + 2*g - 4*g - 2 - o*g**4. Let p(u) = -3*l(u) - 2*z(u). Factor p(b).
-2*b**4*(b - 1)
Suppose 0 = -7*i + 3*i - 12. Let r be ((-27)/12)/(i/8). Factor 6*l**2 - l**4 + 0*l**2 + 3*l**4 - r*l**3 - 2*l.
2*l*(l - 1)**3
Let v be 2/9 + 560/72. Factor -2 + 3*d**4 - 3*d**3 + v + 33*d - 30*d - 9*d**2.
3*(d - 2)*(d - 1)*(d + 1)**2
Let 36*j - 29 + 44 + 93 - 12*j**2 - 4*j**3 = 0. Calculate j.
-3, 3
Let j(v) = -v**3 - 2*v**2 - v + 2. Let u be j(-2). Factor o**4 - 3*o**4 - o**3 - o**4 + u*o**4.
o**3*(o - 1)
Let s(h) be the second derivative of -h**5/10 - 5*h**4/6 - 8*h**3/3 - 4*h**2 - 10*h. Factor s(z).
-2*(z + 1)*(z + 2)**2
Let t(o) = o**3 + o**2 + 3. Let n be t(0). Let b(g) be the first derivative of -1/8*g**2 - 1/3*g**n + 0*g - 3. Let b(x) = 0. Calculate x.
-1/4, 0
Let u(o) be the first derivative of -2*o**3/27 + 4*o**2/9 - 8*o/9 - 6. Factor u(x).
-2*(x - 2)**2/9
Let -7/2*v**3 - 9/4*v**4 - 1/2*v - 9/4*v**2 - 1/2*v**5 + 0 = 0. What is v?
-2, -1, -1/2, 0
Factor 15/2 - 25/4*f + 5/4*f**2.
5*(f - 3)*(f - 2)/4
Suppose -4*n = -7*n + 9. Factor 2/7*d**n + 6/7*d**2 - 10/7*d - 2/7*d**4 + 4/7.
-2*(d - 1)**3*(d + 2)/7
Let b(t) be the second derivative of t**7/315 - t**6/225 + 7*t. Factor b(l).
2*l**4*(l - 1)/15
Suppose 3*i - 9 + 0 = 0. Let o(n) be the first derivative of 2/9*n**3 + i - 2/3*n + 0*n**2. Factor o(z).
2*(z - 1)*(z + 1)/3
Factor 0 - 9/2*y**2 + 0*y + 3/2*y**3.
3*y**2*(y - 3)/2
Let q(t) be the first derivative of -5*t**3/9 - 5*t**2/3 - 5*t/3 - 9. Factor q(i).
-5*(i + 1)**2/3
Let s(b) be the third derivative of -b**8/2016 + b**7/420 - b**6/240 + b**5/360 - 14*b**2. Factor s(y).
-y**2*(y - 1)**3/6
Let o(s) be the third derivative of 2*s**7/105 + s**6/5 + 4*s**5/5 + 4*s**4/3 - s**2. Factor o(q).
4*q*(q + 2)**3
Let w(x) be the second derivative of -5*x**7/42 - 4*x**6/3 - x - 14. Let w(m) = 0. What is m?
-8, 0
Let -50/11 - 2/11*f**2 - 20/11*f = 0. Calculate f.
-5
Let x(m) be the first derivative of -m**4 + 0*m - 5/3*m**3 - 4 - 1/2*m**2. Determine g so that x(g) = 0.
-1, -1/4, 0
Let l = 617/34224 + 2/713. Let y(z) be the second derivative of -1/24*z**3 + 0*z**2 - l*z**4 + 3*z + 0. Factor y(r).
-r*(r + 1)/4
Let v(x) = 8*x**2 + 2*x - 3. Suppose 1 = -2*a - 5. Let q(k) = 8*k**2 + 2*k - 2. Let m = 27 + -25. Let y(i) = a*q(i) + m*v(i). Factor y(n).
-2*n*(4*n + 1)
Let y be ((-64)/80)/(4/(-10)). Suppose -2*h = 3*u, 2*u = h + 4*h. Factor u - 1/2*d**y - d.
-d*(d + 2)/2
Let a(u) be the third derivative of u**9/181440 - u**8/60480 - u**7/