+ 1/360*y**6. Suppose k(g) = 0. What is g?
-1, 0, 2
Let s(l) = -l**3 + 7*l**2 - 7*l + 8. Let m be ((-24)/(-14))/((-2)/(-7)). Let p be s(m). Factor -2*a + 0 + 0 + 0*a + 2*a**p.
2*a*(a - 1)
Suppose 14*a = 10*a + 12. Let w be 2/7 + -1 - -1. Factor -6/7*v**a + 0 + 4/7*v**2 + w*v.
-2*v*(v - 1)*(3*v + 1)/7
Let a = -23 + 26. Suppose 0 = 2*j + 4, -2*j + 0 = a*t - 11. Factor -8/9*l + 0 - 2/9*l**t + 2/3*l**3 + 4/9*l**4 - 8/9*l**2.
-2*l*(l - 2)**2*(l + 1)**2/9
Let k = 33 + -28. Let x(s) be the second derivative of 0 - 1/21*s**4 + 1/21*s**3 + 2*s + 0*s**2 + 2/105*s**6 - 1/147*s**7 + 0*s**k. Factor x(r).
-2*r*(r - 1)**3*(r + 1)/7
Let f(s) be the third derivative of s**8/168 - s**7/70 - s**6/60 + s**5/15 - s**3/6 + 13*s**2. What is x in f(x) = 0?
-1, -1/2, 1
Solve -26*j**2 + 36*j + 90*j**2 + 31*j**3 - 3*j**3 + 8*j + 8 = 0.
-1, -2/7
Suppose 3*m + 5 = -2*m. Let f be (4/20)/(m/(-24)). Solve -2/5*i**4 + 12/5*i**3 + f*i - 8/5 - 26/5*i**2 = 0.
1, 2
Factor -3090 + 10*k + 0*k**2 + 3115 + k**2.
(k + 5)**2
Let w(y) be the first derivative of -y**4/14 - 5*y**3/21 - 2*y**2/7 - 2*y + 4. Let r(s) be the first derivative of w(s). Factor r(v).
-2*(v + 1)*(3*v + 2)/7
Let j be 2/(-16) - (-318)/240. Let 2/5*o**3 - 4/5 + 0*o**2 - j*o = 0. Calculate o.
-1, 2
Suppose -4*s + 6 = -6. Factor -5*w**3 + 9*w + w**s + 6 + w**3.
-3*(w - 2)*(w + 1)**2
Let c(w) be the first derivative of -w**2 + 1 + 0*w**3 + 0*w**4 + 1/240*w**5 + 0*w. Let u(r) be the second derivative of c(r). Factor u(l).
l**2/4
Let u(k) be the second derivative of 5*k**4/12 - 20*k**3/3 + 40*k**2 + 14*k. Factor u(b).
5*(b - 4)**2
Let g be (-1)/((-18)/(-4)) - (-957)/297. Suppose 0 + 2/3*q - 2/3*q**g + 0*q**2 = 0. Calculate q.
-1, 0, 1
Let k(g) be the second derivative of -3*g**5/20 + g**3/2 + 7*g. Factor k(d).
-3*d*(d - 1)*(d + 1)
Suppose 4*t - 3 = 3*t. Suppose 2*o = w + 7, -2 = o - 5*o - 2*w. Factor 0*s**t + o*s**4 - 2*s**3 - s**4 + s**2.
s**2*(s - 1)**2
Let s(f) be the second derivative of -f**4/17 - 19*f**3/51 - 3*f**2/17 - 9*f - 3. Let s(g) = 0. Calculate g.
-3, -1/6
Let y(q) = 7*q**2 + 11*q + 2. Let i(k) = 20*k**2 + 35*k + 7. Let f(m) = -4*i(m) + 11*y(m). Suppose f(h) = 0. Calculate h.
-6, -1/3
Let q(r) = 9*r**2 + 97*r + 11. Let k(j) = 3*j**2 + 32*j + 4. Let i(t) = -11*k(t) + 4*q(t). Factor i(z).
3*z*(z + 12)
Let 4*h**2 + 131 + 16*h - 3*h**2 - 148 = 0. What is h?
-17, 1
Let d(w) be the first derivative of -5/7*w**2 - 2/7*w**3 - 4/7*w + 3. Determine i so that d(i) = 0.
-1, -2/3
Let t be (6/(-4))/((-3)/8). Suppose 0 = -3*j + 2*m + 8, t*j + 2*m + 1 - 7 = 0. Find x, given that 0*x + 2/3*x**3 + 0 + 0*x**j = 0.
0
Let i = 8 - 5. Suppose -4*z - 3*v + 11 + 13 = 0, 3*z - 18 = 3*v. Solve -6 + z - u + u**i = 0.
-1, 0, 1
Let x = -2/33877 + -7690071/135508. Let w = x + 57. Factor 0*j - 1/4*j**3 + 0 + w*j**2.
-j**2*(j - 1)/4
Let p = -11 - -15. Let a = -91 + 94. Factor m**p + 1/3*m**a - 1/3*m + 0 - m**2.
m*(m - 1)*(m + 1)*(3*m + 1)/3
Suppose -17 = 3*j - 5. Let c(l) = 3*l**5 + 2*l**4 - l**3 + 4*l**2 + 4*l - 4. Let g(t) = -t**5 - t**4 - t**2 - t + 1. Let w(a) = j*g(a) - c(a). Factor w(k).
k**3*(k + 1)**2
Factor -1/6*x**5 + 1/2*x - 1/3*x**2 - 1/3*x**3 + 1/2*x**4 - 1/6.
-(x - 1)**4*(x + 1)/6
Suppose -2*a + 6 = 2. Let t(f) be the third derivative of 0*f**4 + 0 + 0*f + f**a + 0*f**3 - 1/330*f**5 - 1/660*f**6. Factor t(k).
-2*k**2*(k + 1)/11
Solve 3*d + d**2 - d**2 - d**4 - d**3 + 6*d**3 - 7*d**2 = 0 for d.
0, 1, 3
Let j = 10159/252 - 282/7. Let g(w) be the third derivative of -2*w**2 + 1/18*w**4 + 1/180*w**6 - 1/18*w**3 + 0 + 0*w - j*w**5. Factor g(d).
(d - 1)**2*(2*d - 1)/3
Let h be (-9)/12 - 3/(-4). Let m(i) be the first derivative of 0*i**5 + 1 + 1/3*i**6 + h*i**2 - 1/2*i**4 + 0*i + 0*i**3. Factor m(j).
2*j**3*(j - 1)*(j + 1)
Let x = -85/6 - -44/3. Factor 1/2*n**2 - 1/4*n**5 - x*n**3 - 3/4*n**4 + 3/4*n + 1/4.
-(n - 1)*(n + 1)**4/4
Let d(l) be the third derivative of -1/300*l**5 + 0*l**4 + 3*l**2 + 1/30*l**3 + 0*l + 0. Factor d(h).
-(h - 1)*(h + 1)/5
Suppose -30 = -5*i - 2*u, u - 7 = -2*i + 4. Suppose -3 - i = -o. Factor -9*r**2 - o*r - 5*r**2 - 2*r**2 - 7*r**3 - 2.
-(r + 1)**2*(7*r + 2)
Let a(i) = 5*i**2 + i - 2. Let l be a(-2). Let 13*d**5 - d**2 + 3*d**2 - 2*d**4 + 3*d**3 - l*d**5 = 0. Calculate d.
-1, -2/3, 0, 1
Suppose 5*h - 25 = -5. Suppose -h*y = 1 - 9. Suppose -k**4 + 3*k**3 + 2*k**4 - 2*k**y + 4*k**2 = 0. What is k?
-2, -1, 0
Factor 6/5*y - 3/5*y**2 + 0 + 3/5*y**4 - 6/5*y**3.
3*y*(y - 2)*(y - 1)*(y + 1)/5
Let z(a) = 5*a**2 - 48*a + 40. Let m(q) = 5*q**2 - 47*q + 40. Let f(w) = -3*m(w) + 2*z(w). Let f(k) = 0. Calculate k.
1, 8
Factor 0*p**2 - 1 + 56 - 4*p**2 - p**2 + 50*p.
-5*(p - 11)*(p + 1)
Let j(p) be the third derivative of 0*p + 1/32*p**4 + 0 - 1/20*p**5 - 1/160*p**6 + 0*p**3 + 1/70*p**7 - 3*p**2. Solve j(a) = 0.
-1, 0, 1/4, 1
Factor 10*t**3 + t**2 - 8*t**3 + 4 + 7*t**2 + 10*t.
2*(t + 1)**2*(t + 2)
Let r(d) be the first derivative of 3 + 1/100*d**5 + 0*d - 1/60*d**4 + 0*d**3 - 3/2*d**2. Let v(q) be the second derivative of r(q). What is t in v(t) = 0?
0, 2/3
Suppose -4*d + d + 1 = a, 4 = 3*d + 4*a. Let j = 4 + -4. Find v such that -1/4*v**2 + j + d*v = 0.
0
Let g be 11/2 - (-9)/(-6). Suppose 8 = -3*y - 2*w, -4*w - g = -y - 3*w. Suppose 0*k**2 + y + 2/9*k - 2/9*k**3 = 0. What is k?
-1, 0, 1
Let h(s) be the third derivative of -s**7/210 - s**6/120 + s**5/12 - s**4/8 + 34*s**2. Factor h(j).
-j*(j - 1)**2*(j + 3)
Suppose -6*f = 4*i - f + 35, 3*i - f + 12 = 0. Let h = -3 - i. Factor -s**h + 3*s - 3*s.
-s**2
Let d be (-20)/(-14) - 28/(-49). Let r be (-20)/(-16) - 2/d. Determine o, given that 0 - r*o**2 - 1/2*o**4 - 3/4*o**3 + 0*o = 0.
-1, -1/2, 0
Suppose -11 = -4*a + 25. Determine w so that 6*w**2 - 3*w**4 - 3 + a*w**3 - 9*w**3 = 0.
-1, 1
Find y, given that -10/23*y + 2/23*y**3 + 6/23 + 2/23*y**2 = 0.
-3, 1
Let u be 20/6*3/(-50)*-4. Factor u*w**2 - 2/5*w**4 - 2/5*w - 2/5*w**5 - 2/5 + 4/5*w**3.
-2*(w - 1)**2*(w + 1)**3/5
Factor -3*j**4 + 8*j**2 + 0*j**2 - 6 + 3*j**3 + j**2 - 3*j.
-3*(j - 2)*(j - 1)*(j + 1)**2
Let b(f) be the third derivative of f**5/30 - f**4/4 - 7*f**2. Determine k, given that b(k) = 0.
0, 3
Let o(d) be the second derivative of d**5/100 - d**4/15 + 2*d**3/15 + 14*d. Solve o(t) = 0.
0, 2
Let f(g) be the second derivative of g**6/30 + 6*g. Factor f(h).
h**4
Determine g, given that -96/5*g**3 + 32/5*g**4 + 0 - 64/5*g + 128/5*g**2 - 4/5*g**5 = 0.
0, 2
Let l(i) = i**4 - 13*i**3 - 10*i**2 + 4. Let u(b) = -2*b**4 + 14*b**3 + 11*b**2 - 5. Let s be (-4)/(1/(1/1)). Let f(a) = s*u(a) - 5*l(a). Factor f(g).
3*g**2*(g + 1)*(g + 2)
Let q(u) be the first derivative of -u**6/51 - 4*u**5/85 + 6. Determine g, given that q(g) = 0.
-2, 0
Let j(s) be the third derivative of -1/40*s**6 + 2*s**2 + 0 - 1/30*s**5 + 0*s + 1/336*s**8 + 0*s**3 + 0*s**7 + 0*s**4. Factor j(y).
y**2*(y - 2)*(y + 1)**2
Factor y**2 + y**2 + y**2 + 9*y + 6.
3*(y + 1)*(y + 2)
Let x(r) = -4*r**3 + r**2 - r. Let i(t) = 7*t**3 + t - 54 - 2*t**2 + 54. Let y(z) = -6*i(z) - 10*x(z). Let y(h) = 0. What is h?
-1, 0, 2
Let z(u) be the third derivative of u**9/15120 - u**8/3360 + u**6/360 - u**5/120 - u**4/6 - 2*u**2. Let b(c) be the second derivative of z(c). Factor b(r).
(r - 1)**3*(r + 1)
Suppose -3*c + 6 = d - 3, -d + 5 = c. Let -4 + c*j**5 + 6*j**2 - 2 + 9*j + j**5 - 13*j**3 + j**3 = 0. Calculate j.
-2, -1, 1
Let s(z) be the first derivative of 4*z**3/3 + 2*z**2 + 4. Factor s(x).
4*x*(x + 1)
Let w(m) be the third derivative of m**10/25200 + m**9/3024 + m**8/1120 + m**7/1260 - m**5/30 + 5*m**2. Let g(i) be the third derivative of w(i). Factor g(h).
2*h*(h + 1)*(h + 2)*(3*h + 1)
Let a be 6 - 3 - 5 - -3. Let y(q) = -q**4 - 1. Let v(t) = -102*t**4 + 36*t**2 + 8*t + 6. Let z(r) = a*v(r) + 6*y(r). Factor z(b).
-4*b*(3*b - 2)*(3*b + 1)**2
Let v(l) = -5*l**4 - 17*l**3 - 19*l**2 + 11*l + 2. Let n(p) = -p**4 + p**2 + p + 1. Let i(o) = -2*n(o) + v(o). Factor i(k).
-k*(k + 3)**2*(3*k - 1)
Let b(a) be the first derivative of -3*a**5/5 - 3*a**4/4 + a**3 + 3*a**2/2 - 19. Factor b(y).
-3*y*(y - 1)*(y + 1)**2
Let x(z) = -z**2 - 4*z + 8. Let c be x(-6). Let p be (-9)/(-4) + 1/c. Factor -2*q**3 - q + 6*q + 4 + p*q - q.
-2*(q - 2)*(q + 1)**2
Let y(j) be the third derivative of 0 + 1/1365*j**7 + 0*j + 0*j**5 + 0*j**3 + 0*j**4 - 1/1092*j**8 + 3*j**2 + 1/780*j**6. Determine u, given tha