*3 + 0*l**2 + 0*l + 3. Factor j(x).
-x**2*(x - 2)/6
Suppose 0 = -2*d + 5 + 7. Let m(n) be the second derivative of -37/135*n**d + 2/27*n**4 - 2/15*n**5 + 0*n**3 - n + 5/9*n**7 + 0*n**2 + 0. What is x in m(x) = 0?
-1/3, 0, 2/7, 2/5
Let n(p) be the first derivative of 0*p + 0*p**2 - 4 - 1/3*p**3. Suppose n(x) = 0. Calculate x.
0
Let m = 7/3 - 43/21. Let -m*g**2 + 0 + 0*g = 0. Calculate g.
0
Let q(d) be the third derivative of -d**5/120 - d**4/24 - d**2. Factor q(x).
-x*(x + 2)/2
Factor -4*y**3 - 1 + 2*y**3 + 1.
-2*y**3
Let w(q) = 3*q - 3. Let s = 1 - -1. Let c be w(s). Factor -5*t**2 + 6*t**4 + c*t**3 + t - 5*t - t**2 + t**3.
2*t*(t - 1)*(t + 1)*(3*t + 2)
Let o(g) = g**5 - g**4 + g**2. Let x(r) = -13*r**5 + 19*r**4 - 6*r**3 - 4*r**2. Let h(s) = -4*o(s) - x(s). Factor h(y).
3*y**3*(y - 1)*(3*y - 2)
Suppose -k - 2*y = -5*k + 2, 4*k - 3*y + 1 = 0. Let j be k/8 - (-30)/8. Factor -4*t**j + 2*t - t**4 + 4*t**2 + t**4 - 2*t**5.
-2*t*(t - 1)*(t + 1)**3
Suppose 4 = 2*d + 5*h - h, -5*d = -4*h + 4. Let k(n) be the third derivative of 0*n + d + n**2 + 0*n**3 - 1/60*n**5 + 1/24*n**4. Solve k(z) = 0 for z.
0, 1
Suppose -q = -4*q. Let l = 0 - q. Factor 0*b**2 + l - 1/4*b + 1/4*b**3.
b*(b - 1)*(b + 1)/4
Let c(a) = 4*a**2 - 4*a**2 - 3*a + a**3 + 2*a. Let z be c(-1). Let 1/2*x**5 - 1/2*x**3 + 0*x**4 + z*x**2 + 0*x + 0 = 0. What is x?
-1, 0, 1
Let q(h) = h**2 - h. Let x(a) = 8*a**2 - 12*a. Let w(t) = 6*q(t) - x(t). Factor w(j).
-2*j*(j - 3)
Factor 0 + 2/3*w**2 - 1/3*w**3 - 1/3*w.
-w*(w - 1)**2/3
Let o(h) = 5*h**2 - h. Let s be o(1). Let r = -10 + 14. Solve -2*b**2 + 4*b**5 - 2*b**r - 3*b**3 - b**3 + 4*b**s = 0.
-1, -1/2, 0, 1
Let k be (-12)/(-14)*84/18. Find r such that 4*r**5 + 4*r**3 + 42/5*r**k - 4/5*r + 0 - 6/5*r**2 = 0.
-1, -1/2, 0, 2/5
Let d be -5*(-3 + 26/10). Let z(j) be the first derivative of 1/3*j**3 - 2*j - 1/2*j**d - 2. Find x, given that z(x) = 0.
-1, 2
Let c(o) = -14*o**4 + 18*o**3 - 26*o**2 + 14*o + 8. Let b(x) = -5*x**4 + 6*x**3 - 9*x**2 + 5*x + 3. Let f(h) = -8*b(h) + 3*c(h). What is l in f(l) = 0?
0, 1
Determine a so that 22 + 21*a**2 - 7 + 35*a - 20*a**2 + 5*a**3 + 24*a**2 = 0.
-3, -1
Let -27575 + 27575 - 4*r**2 - 4*r = 0. Calculate r.
-1, 0
Let t(g) be the second derivative of g**6/360 - g**5/120 + g**3/2 + 4*g. Let r(c) be the second derivative of t(c). What is a in r(a) = 0?
0, 1
Let x(s) = -s**3 - s**2 - s. Let q(t) = -t**5 - t**4 + 4*t**3 + 4*t**2 + 3*t. Let l(y) = q(y) + 3*x(y). Find n such that l(n) = 0.
-1, 0, 1
Let g = -19 + 38. Factor -g*y**3 + 29*y**3 - 16*y**3 + 4 + 6*y - 2*y**2 - 2*y**4.
-2*(y - 1)*(y + 1)**2*(y + 2)
Let v(w) be the third derivative of -w**9/15120 + w**8/1680 - w**7/504 + w**6/360 - w**4/12 - 2*w**2. Let a(q) be the second derivative of v(q). Factor a(c).
-c*(c - 2)*(c - 1)**2
Let u(p) = p**2 - 4*p. Let h be 2 + -2 - 1*-4. Let o be u(h). Suppose -1/4*y + 0*y**2 + 1/4*y**3 + o = 0. What is y?
-1, 0, 1
Let r be 32/(-8) - 57/(-8). Let n(g) be the second derivative of g + 25/4*g**4 + 0 + 2*g**2 + 5*g**3 + r*g**5. Solve n(m) = 0.
-2/5
Let q be 2/7 - 5/(-7). Solve -2*z + 4*z - q + 3*z**2 - 4*z**2 = 0.
1
Let f(c) be the second derivative of 1/2*c**3 + 2*c + 9/4*c**2 + 1/24*c**4 + 0. Find q such that f(q) = 0.
-3
Let q = -42 - -65. Suppose q = y + 5*d - d, 0 = -5*y - 5*d + 40. Solve 2*v - 2*v**2 + 9*v**4 + v**4 - 2*v**y - 8*v**4 = 0.
-1, 0, 1
Let k(i) be the first derivative of -4/5*i**5 + 2/3*i**6 - i**4 + 4/3*i**3 + 5 + 0*i + 0*i**2. Factor k(q).
4*q**2*(q - 1)**2*(q + 1)
Determine p so that -39*p**2 + 24*p**3 + 3*p**2 - 4*p**4 + 0*p**3 = 0.
0, 3
Let r(o) be the first derivative of 5*o**6/6 + 3*o**5 - 20*o**3/3 - 6. Factor r(z).
5*z**2*(z - 1)*(z + 2)**2
Let v be (-486)/108 + (-121)/(-26). Factor -6/13*f**3 - v*f**2 - 6/13*f**4 - 2/13*f**5 + 0 + 0*f.
-2*f**2*(f + 1)**3/13
Let m(v) be the first derivative of 3*v**4/2 + 8*v**3/3 - 4*v**2 - 8. Factor m(i).
2*i*(i + 2)*(3*i - 2)
Let a(x) be the second derivative of 0 - 1/18*x**4 - 1/30*x**5 - 1/27*x**3 + 0*x**2 - 1/135*x**6 + 2*x. Factor a(n).
-2*n*(n + 1)**3/9
Let w(s) be the third derivative of -s**5/120 + 3*s**4/8 - 27*s**3/4 - 25*s**2. Factor w(f).
-(f - 9)**2/2
Let j(v) be the second derivative of 5*v**4/36 + v**3/3 + v**2/6 + 3*v. Let j(r) = 0. What is r?
-1, -1/5
Let b = 31 + -61/2. Determine l so that 0 + b*l**4 + 0*l**3 + 1/4*l - 1/4*l**5 - 1/2*l**2 = 0.
-1, 0, 1
Let b(z) be the third derivative of 9/20*z**5 - 7/40*z**6 + 0 + 0*z - 1/4*z**4 + 0*z**3 + z**2. Factor b(s).
-3*s*(s - 1)*(7*s - 2)
Let r be 86 + -3 + 1 + -3. Let i = -53 + r. Find t such that 61*t**5 + 4 - 8 + i*t**4 - 30*t**3 - 12*t**2 + 22*t - 13*t**5 - 28*t**3 = 0.
-1, 1/4, 1/2, 2/3
Let w(x) = -4*x**5 + 26*x**4 - 52*x**3 + 46*x**2 - 16*x. Let f(d) = -d**4 + d**2. Let r(c) = -2*f(c) - w(c). Solve r(t) = 0 for t.
0, 1, 2
Find q such that 9/5*q - 2/5 + 14/5*q**3 - 16/5*q**2 - 6/5*q**4 + 1/5*q**5 = 0.
1, 2
Let 24*l**3 + 2*l**5 + l + 16*l**2 + 2*l**5 + 3*l + 16*l**4 = 0. What is l?
-1, 0
Let q be ((-18)/10 + 1)*33/(-66). Let -q*j**2 + 0*j + 0 = 0. Calculate j.
0
Let z be 938/24 + (-3)/(-12). Let y = -39 + z. Suppose 0 + 1/3*p - y*p**2 - 2/3*p**3 = 0. What is p?
-1, 0, 1/2
Let j = -19 + 9. Let m be 32/j*2/(-8). Suppose -m*k + 0 + 6/5*k**2 = 0. What is k?
0, 2/3
Let j(k) be the first derivative of -k**5/270 - k**4/108 - 3*k**2/2 + 4. Let l(g) be the second derivative of j(g). Factor l(t).
-2*t*(t + 1)/9
Let n = 7489/4 - 1933. Let o = 61 + n. Determine d, given that -1/2*d**2 + o*d + 0 + 1/4*d**3 = 0.
0, 1
Suppose 3 = 5*f - 7. Find n, given that 1/3*n + 2*n**f - 1/3 = 0.
-1/2, 1/3
Let m(u) be the second derivative of -u**7/112 + u**6/20 + 3*u**5/80 - 3*u**4/8 - 9*u**3/16 + 5*u. Let m(f) = 0. What is f?
-1, 0, 3
Suppose -210*q + 190*q = -40. Determine h so that 6/7 - 2*h - 2/7*h**3 + 10/7*h**q = 0.
1, 3
Let c(k) be the second derivative of 5*k**7/42 - k**6/6 - 40*k. Solve c(v) = 0.
0, 1
Let k = -25 - -25. Factor k*l + 1/4 - 1/4*l**2.
-(l - 1)*(l + 1)/4
Suppose 0 = -2*m - 3*m + 20. Find v such that 6*v**3 - v**2 - v**5 - 5*v**3 - 4*v**4 + 2*v**2 + 3*v**m = 0.
-1, 0, 1
Let k(s) = s**2 + s. Let t(b) = -4*b**2 - 10*b - 8. Let h = -9 - -7. Let m(p) = h*k(p) - t(p). Factor m(a).
2*(a + 2)**2
Let b(x) be the second derivative of x**6/15 - 3*x**5/10 + 4*x**3/3 - 11*x. Let b(g) = 0. What is g?
-1, 0, 2
Factor 6*c + 4*c**4 + 0*c**4 - c**5 - 49*c**3 + 46*c**3 - 2*c - 4*c**2.
-c*(c - 2)**2*(c - 1)*(c + 1)
Suppose -20 = z - 5*g, 8*g - 12 = 4*z + 5*g. Suppose 3 = o - z*o. Factor o*n - n**4 - n**5 + 2*n**2 - 2*n - n**4.
-n*(n - 1)*(n + 1)**3
Let c = -492 - -495. Factor -16/13*m - 16/13*m**5 - 56/13*m**4 - 2/13 - 76/13*m**c - 50/13*m**2.
-2*(m + 1)**2*(2*m + 1)**3/13
Factor 0*s - 2/5*s**2 + 2/5.
-2*(s - 1)*(s + 1)/5
Let d = -67/3 - -23. Factor d*c - 4/3 + 2/3*c**2.
2*(c - 1)*(c + 2)/3
Let i be ((-504)/(-70))/(1/(-5)). Let s be ((-8)/(-30))/(i/(-54)). Determine n, given that s*n - 2/5*n**2 + 0 - 2/5*n**3 + 2/5*n**4 = 0.
-1, 0, 1
Suppose 2*k - 2 - 40 = 0. Let w be k/7 + 16/(-6). Solve 0*o**4 + 1/3*o**5 + 0 + 0*o**2 + 0*o - w*o**3 = 0 for o.
-1, 0, 1
Suppose 2 + 2*y**2 + y - 5*y**2 + 2*y**2 = 0. Calculate y.
-1, 2
Let s(x) = -16*x + 10 - 12*x + x**2 + 22*x. Let t be s(4). Factor -2/7*j**t + 0 + 2/7*j.
-2*j*(j - 1)/7
Let q = 152 - 145. Let a(i) be the second derivative of -4*i**2 + 35/6*i**4 - 31/15*i**6 + 0 - 43/10*i**5 + 8/3*i**3 + 5/3*i**q + i. Solve a(u) = 0.
-1, -2/5, 2/7, 1
Let d(g) be the first derivative of g**7/315 - g**6/180 + 7*g**2/2 - 2. Let p(i) be the second derivative of d(i). Factor p(l).
2*l**3*(l - 1)/3
Let j be (9/(-21))/(15/(-10)). Determine t, given that -2/7 + j*t**2 + 0*t = 0.
-1, 1
Let r be (-10)/(-25) + (-2)/5. Suppose f**2 + f + r*f**2 - 2*f = 0. Calculate f.
0, 1
Let p(q) be the third derivative of 3*q**5/100 - 29*q**4/40 - q**3 - 20*q**2. Factor p(t).
3*(t - 10)*(3*t + 1)/5
Let p(m) = 2*m**2 + 16*m + 5. Let d be p(-8). Factor -4/3*r**2 - 2/3*r**d - 2/3*r + 4/3*r**3 + 2/3 + 2/3*r**4.
-2*(r - 1)**3*(r + 1)**2/3
Find l, given that 28/3*l**3 + 0 + 0*l - 20/3*l**4 - 8/3*l**2 = 0.
0, 2/5, 1
Let n = -6 + 10. Let y(h) be the first derivative of 1/18*h**n - 2/27*h**3 + 0*h + 2 + 0*h**2 + 2/45*h**5 - 1/27*h**6. What is w in y(w) = 0?
-1, 0, 1
Determine f, given that 24 - 4/3*f**4 + 28*f - 20/3*f**3 - 4/3*f**