(-18))/(-6 - 150/(-24)). What is k in 0*k**2 - 2/9 - q*k + s*k**3 + 2/9*k**4 = 0?
-1, 1
Let y(a) be the third derivative of -6*a**2 + 1/20*a**4 + 1/300*a**6 + 0 - 1/15*a**3 - 1/50*a**5 + 0*a. Find n such that y(n) = 0.
1
Let i(l) be the second derivative of 0 - 5/16*l**4 - 1/4*l**3 - 9/80*l**5 + 0*l**2 + l. Determine f, given that i(f) = 0.
-1, -2/3, 0
Let w(f) be the third derivative of f**5/420 - f**4/42 + f**3/14 - 10*f**2. Find n such that w(n) = 0.
1, 3
Find w such that 2/3*w**2 + 0 + 0*w = 0.
0
Let j be 0 + (0 - -1) + 3/(-9). Find b such that 2/3*b - j*b**3 + b**2 + 0 - b**4 = 0.
-1, -2/3, 0, 1
Let h be (3 - (0 + 3)) + -5. Let s be 3*h*6/(-45). Factor 0*r + 0 + 1/2*r**s.
r**2/2
Suppose 7/3*j**3 + 4/3*j**4 - 1/3*j + 0 + 2/3*j**2 = 0. Calculate j.
-1, 0, 1/4
Factor 0 - 3/5*i + 3/5*i**3 + 0*i**2.
3*i*(i - 1)*(i + 1)/5
What is x in 0 + 0*x + 1/5*x**2 = 0?
0
Suppose g = 2*g - 81. Factor 39 + 42 + 0 + 27*q**2 + 3*q**3 + g*q.
3*(q + 3)**3
Let s(m) be the third derivative of 1/135*m**5 + 0 + 3*m**2 - 1/945*m**7 - 1/540*m**6 + 0*m**4 + 0*m**3 + 0*m. Factor s(b).
-2*b**2*(b - 1)*(b + 2)/9
Let n(c) be the second derivative of -c**7/21 - 4*c**6/15 - 2*c**5/5 + c**4/3 + 5*c**3/3 + 2*c**2 + 17*c. Solve n(s) = 0.
-2, -1, 1
Factor 2/5 + 23/5*v**2 - 5*v.
(v - 1)*(23*v - 2)/5
Let g be (-42)/(-70) - (-3)/(-5). Factor 0*f**2 + g*f**2 - f**2 - 3*f + 5*f.
-f*(f - 2)
Let y(g) be the first derivative of g**3/12 + 11*g**2/4 + 121*g/4 - 21. Suppose y(c) = 0. Calculate c.
-11
Let k(w) be the first derivative of w**5/5 - w**4/4 - w**3/3 + w**2/2 + 1. Let k(b) = 0. Calculate b.
-1, 0, 1
Factor 4/7*m**3 + 0*m**2 + 0 + 2/7*m**4 + 0*m.
2*m**3*(m + 2)/7
Let c(i) be the third derivative of i**6/168 - i**5/60 + i**4/84 - 12*i**2. Determine m, given that c(m) = 0.
0, 2/5, 1
Suppose -135 + 71 = -32*b. Factor -18/5*w**b - 2/5 - 12/5*w.
-2*(3*w + 1)**2/5
Factor 0*j**2 - 33/2*j**4 + 0 - 9*j**3 + 0*j.
-3*j**3*(11*j + 6)/2
Let o(l) be the third derivative of 1/156*l**4 + l**2 - 1/195*l**5 + 1/780*l**6 + 0*l + 0 + 0*l**3. Determine f so that o(f) = 0.
0, 1
Suppose 0*x + 3*x + 4*x = 0. Let f(i) be the first derivative of x*i + 1 + 0*i**2 - 2/9*i**3 - 1/4*i**4. Solve f(n) = 0 for n.
-2/3, 0
Let j be 7 + (-4)/(-2 - -4). Let s(y) = -y**2. Suppose -15 = -4*k + 1. Let w(l) = l**2 - l - 1. Let h(u) = j*s(u) + k*w(u). Factor h(n).
-(n + 2)**2
Suppose 0 = 4*d - 8*d + 12. Suppose c + d*j - 8 = 11, -2*c + 3*j = 7. What is t in 0 + 0*t + 0*t**2 + 2/5*t**3 - 2/5*t**c = 0?
0, 1
Factor 2 + 16*l**3 + 11 - l**3 - 15*l - 5*l**4 - 3 - 5*l**2.
-5*(l - 2)*(l - 1)**2*(l + 1)
Let f(u) be the second derivative of u**4/12 - u**3/2 + u**2 - 6*u. Let v be f(3). Factor -4/3*i**v + 0 - i**3 - 1/3*i.
-i*(i + 1)*(3*i + 1)/3
Factor -10/9*v + 2/9*v**2 + 0.
2*v*(v - 5)/9
Let x(m) be the first derivative of 0*m + 2/7*m**2 + 1/7*m**4 - 10/21*m**3 - 2. Determine z, given that x(z) = 0.
0, 1/2, 2
Let k(o) be the second derivative of 0*o**2 + 1/12*o**4 - 1/20*o**5 + 1/42*o**7 + 3*o + 0 - 1/30*o**6 + 0*o**3. Factor k(t).
t**2*(t - 1)**2*(t + 1)
Let m(f) = -f**3 - 11*f**2 - 10*f + 2. Let p be m(-10). Let o be 3/p*(-10)/(-3). Factor -y - 2*y + o*y - y**2.
-y*(y - 2)
Suppose 0 = -3*h - 2*h. Suppose -2*g + 10 = h, -r = 2*g - 2 - 8. Suppose -1/3*m + r - m**2 = 0. What is m?
-1/3, 0
Suppose 2*v - 17 = -2*o + 5, 2*o + 3*v - 27 = 0. Suppose o + 2 = 4*t. Factor 0*p + 1/5 - 1/5*p**t.
-(p - 1)*(p + 1)/5
Let w(j) be the third derivative of j**8/144 - j**7/21 + 43*j**6/360 - 2*j**5/15 + j**4/18 - 4*j**2. Let w(z) = 0. What is z?
0, 2/7, 1, 2
Let s(h) be the first derivative of 0*h**2 - 1 + 1/3*h**3 - 1/3*h**4 + h + 1/10*h**5. Let t(i) be the first derivative of s(i). Factor t(j).
2*j*(j - 1)**2
Let c(z) = 6*z**3 + 23*z**2 + 16*z - 1. Suppose 3*t + 2 = -1. Let a = -9 + 12. Let k(p) = -p**3 + p**2 + p - 1. Let d(w) = a*k(w) + t*c(w). Factor d(i).
-(i + 1)**2*(9*i + 2)
Factor 11/2*s + 9/2*s**2 + 2 - 1/2*s**4 + 1/2*s**3.
-(s - 4)*(s + 1)**3/2
Suppose -10*s = -8*s. Suppose 98/3*o**5 + 0*o**2 + 8/3*o**3 + 0 + s*o + 56/3*o**4 = 0. Calculate o.
-2/7, 0
Determine k so that 5/3*k**4 + 0*k + 5/3*k**2 + 0 - 10/3*k**3 = 0.
0, 1
Solve 8/9 + 2/9*x**2 + 8/9*x = 0.
-2
Let i(u) be the first derivative of -u**3/3 - u**2/3 - 4. Factor i(k).
-k*(3*k + 2)/3
Suppose 11*x - 7 - 15 = 0. Find t, given that -7/2*t - 3/2*t**3 + 4*t**x + 1 = 0.
2/3, 1
Let -3*l**5 + 15*l - l**5 - 4*l**3 + 8*l**4 - 15*l = 0. What is l?
0, 1
Factor 0*l**2 - 1/2*l**4 + 8*l - 2*l**3 + 8.
-(l - 2)*(l + 2)**3/2
Let n(w) = -16*w**4 - 26*w**3 - 10*w**2 + 2. Let q(t) = -t**3 + t**2 + t + 1. Let x(s) = -n(s) + 2*q(s). Factor x(a).
2*a*(2*a + 1)**3
Let j = -118 + 120. Let k(r) be the second derivative of -1/15*r**3 + 1/50*r**5 + 0*r**4 - 3*r + 0*r**j + 0. Suppose k(t) = 0. What is t?
-1, 0, 1
Let l = 144/41 + -11317/3444. Let f = 1/42 + l. Factor 0 - f*b**2 + 0*b.
-b**2/4
Let y(g) be the third derivative of -g**2 + 1/280*g**8 + 1/75*g**7 + 0 - 2/75*g**5 + 0*g**3 + 0*g**6 + 0*g + 0*g**4. Determine f, given that y(f) = 0.
-2, -1, 0, 2/3
Let f = 3/23 + 83/69. Factor -1/3 - 4*u**3 - f*u**4 - 13/3*u**2 - 2*u.
-(u + 1)**2*(2*u + 1)**2/3
Suppose -1/4*t**5 + 0*t**4 + 3/4*t**3 + 1/2*t**2 + 0*t + 0 = 0. What is t?
-1, 0, 2
Let i(s) be the first derivative of 1/30*s**4 + 3 - 1/15*s**3 + 1/50*s**5 + 0*s**2 - 1/75*s**6 - s. Let x(v) be the first derivative of i(v). Factor x(r).
-2*r*(r - 1)**2*(r + 1)/5
Let t = -21 + 37. Let q = t - 16. Factor 2/9*n**5 + q + 2/3*n**3 + 0*n - 2/9*n**2 - 2/3*n**4.
2*n**2*(n - 1)**3/9
Factor 0*k + 4/7*k**4 - 4/7*k**3 + 0 + 0*k**2.
4*k**3*(k - 1)/7
Let p = 6 - 4. Find t such that -1 - 4*t**p + 3*t**2 - 3*t**2 + 5*t**2 = 0.
-1, 1
Let q(m) be the third derivative of -m**6/960 - m**5/40 - m**4/4 - 5*m**3/6 + 8*m**2. Let x(z) be the first derivative of q(z). Factor x(l).
-3*(l + 4)**2/8
Let q = 0 - -4. What is a in 0*a**3 + 3*a**2 - 5*a - 3*a**q - a + 3*a + 3*a**3 = 0?
-1, 0, 1
Suppose -3*u = 3*l - 27, 10*u = 5*u - 3*l + 37. Factor 34/5*v**4 + 2/5 + 44/5*v**2 - 16/5*v - 8/5*v**u - 56/5*v**3.
-2*(v - 1)**4*(4*v - 1)/5
Let g be (-98)/(-1078) - (-170)/66. Factor 8/3*q + 0 - g*q**2 + 2/3*q**3.
2*q*(q - 2)**2/3
Let h(s) be the third derivative of s**7/1260 - s**4/4 - 8*s**2. Let r(j) be the second derivative of h(j). Let r(a) = 0. What is a?
0
Let r(m) be the first derivative of m**6/30 - m**4/6 + m**2/2 - 4*m + 1. Let t(j) be the first derivative of r(j). Factor t(q).
(q - 1)**2*(q + 1)**2
Let i(w) be the third derivative of 0 - 5*w**2 + 4/3*w**3 + 0*w + 1/15*w**5 - 1/2*w**4. Solve i(l) = 0 for l.
1, 2
Let q(w) be the third derivative of -w**6/180 + w**4/36 - 9*w**2. Factor q(v).
-2*v*(v - 1)*(v + 1)/3
Let y(r) be the third derivative of -r**8/80640 + r**7/10080 + r**5/15 - 2*r**2. Let d(g) be the third derivative of y(g). Factor d(k).
-k*(k - 2)/4
Factor -3/7*f**2 + 6/7 + 3/7*f.
-3*(f - 2)*(f + 1)/7
Let m(h) = -20*h**4 - 32*h**3. Let w(u) = -13*u**4 - 21*u**3. Let j(o) = 5*m(o) - 8*w(o). Factor j(d).
4*d**3*(d + 2)
Let m be 5 + ((-136)/28 - -2). Let 3/7*n**3 + 24/7*n + 12/7 + m*n**2 = 0. Calculate n.
-2, -1
Let f be 6/8 - (-44)/48. Let -5/3*u - 10/3*u**3 + 10/3*u**2 + 1/3 - 1/3*u**5 + f*u**4 = 0. Calculate u.
1
Suppose -4*a = -11 - 1. Factor -h**a + 5*h**3 - 5*h**3.
-h**3
Factor 5*i**4 + 2*i**3 + i - 6*i**4 - i**2 - i.
-i**2*(i - 1)**2
Suppose 0 = -8*r + 3*r. Let f(n) be the first derivative of -1/12*n**4 + 1/6*n**2 + r*n**3 + 2 + 0*n. Suppose f(s) = 0. Calculate s.
-1, 0, 1
Let d(f) be the second derivative of f**7/7 - f**5/10 + f**3/6 + 5*f**2/2 - f. Let k = -4 + -1. Let y(m) = m**5 + 1. Let i(g) = k*y(g) + d(g). Factor i(h).
h*(h - 1)**2*(h + 1)**2
Let u(a) be the second derivative of a**6/30 - 3*a**5/20 + a**4/4 - a**3/6 + 13*a. Factor u(s).
s*(s - 1)**3
Let w be -2*(50/(-16) + 3). Factor -1/4*d**2 - w*d + 0.
-d*(d + 1)/4
Let w be ((-14)/147)/(1/(-6)). Factor -2/7*q**4 + 0*q + 0 + w*q**3 + 0*q**2.
-2*q**3*(q - 2)/7
Let l(h) = -h - 4. Let a be l(-13). Factor 6 + 2*p + 21*p**2 - 2*p + 18*p + a*p.
3*(p + 1)*(7*p + 2)
Let l(m) = -4*m**5 - 3*m**4 - m**3 - 3*m**2 + 2*m - 3. Let k(o) = 17*o**5 + 13*o**4 + 5*o**3 + 13*o**2 - 9*o + 13. Let c(j) = -6*k(j) - 26*l(j). Factor c(h).
2*h*(h - 1)**2*(h + 1)**2
Let k = 32 - 27. Let s(c) be the third derivative of -1/280*c**7 + 0 + 0*c -