-w**2 + 4. Let p be u(-2). Factor p*s - g*s**3 + 0 - 4/11*s**2.
-2*s**2*(5*s + 2)/11
Let t(o) be the first derivative of -o**5/30 - o**4/4 - 5*o**2 + 41. Let s(c) be the second derivative of t(c). Factor s(k).
-2*k*(k + 3)
Suppose -3*l + 8 = w - 7, 15 = 4*l + 3*w. Let s(u) = u**2 - 36*u - 25. Let o(g) = 10*g**2 - 395*g - 275. Let z(y) = l*o(y) - 65*s(y). Let z(a) = 0. What is a?
-5, -1
Let b(n) be the second derivative of n**4/6 - 3*n**3 + 8*n**2 - 338*n. What is c in b(c) = 0?
1, 8
Let p(k) be the first derivative of -5*k**4/12 + 5*k**3 + 10*k**2/3 - 60*k + 406. Factor p(c).
-5*(c - 9)*(c - 2)*(c + 2)/3
Let q(f) be the first derivative of f**4/18 + 14*f**3/27 - 5*f**2/9 - 50*f/3 - 166. Factor q(i).
2*(i - 3)*(i + 5)**2/9
Let o(j) = j**2 - j - 1. Let t(l) = -3*l + l**2 + 3*l - 3. Let h be ((-1)/(15/(-10)))/((-2)/6). Let p(w) = h*o(w) + t(w). Factor p(c).
-(c - 1)**2
Suppose 138*c = 126*c. What is u in c - 15/2*u**3 + 15/2*u - 5/2*u**4 + 5/2*u**2 = 0?
-3, -1, 0, 1
Let u(t) be the third derivative of t**8/840 + t**7/180 + t**6/108 + t**5/180 - 5*t**3/6 - 12*t**2. Let m(x) be the first derivative of u(x). Factor m(l).
2*l*(l + 1)**2*(3*l + 1)/3
Factor 2*f**3 - 3/2*f + 0*f**2 + 1/2.
(f + 1)*(2*f - 1)**2/2
Let u = -52 + 56. Suppose u*a - 8 = -0. Solve 18*w**a + 27*w**3 + 5*w + 1/2 + 27/2*w**4 = 0.
-1, -1/3
Let l(z) be the first derivative of 2/5*z**5 + 2/21*z**6 + 0*z - 2/21*z**3 - 2/7*z**2 + 3/7*z**4 - 24. Find p, given that l(p) = 0.
-2, -1, 0, 1/2
Let w(j) be the second derivative of -j**7/210 + j**6/24 - 5*j**5/32 - j**4/3 + 11*j. Let c(u) be the third derivative of w(u). Factor c(h).
-3*(4*h - 5)**2/4
Let z(w) be the first derivative of w**5/60 + w**4/12 - 2*w**2/3 + w - 21. Let h(f) be the first derivative of z(f). Find t such that h(t) = 0.
-2, 1
Let f(m) be the third derivative of 0 + 1/720*m**6 + 1/360*m**5 + 0*m**3 + 0*m**4 + 17*m**2 + 0*m. Let f(v) = 0. What is v?
-1, 0
Let g = 15475/4 + -3868. Let -3/4*s**2 + 9/2 - g*s = 0. What is s?
-3, 2
Let r be (-1)/2 + (-10 - -13) + (-15)/6. Determine q, given that 3/4*q**3 - 15/4*q**2 + r + 3*q = 0.
0, 1, 4
Factor -1/11*i**3 - 7/11*i**2 - 10/11*i + 0.
-i*(i + 2)*(i + 5)/11
Determine n so that 2/5*n**3 + 24/5*n**2 + 0 + 22/5*n = 0.
-11, -1, 0
Find k, given that -72/17 - 2/17*k**5 + 66/17*k + 20/17*k**4 + 52/17*k**2 - 64/17*k**3 = 0.
-1, 1, 3, 4
Let v = -677 + 682. Let a(q) be the first derivative of 0*q**2 + 2 + 0*q**4 + 1/9*q**3 - 1/15*q**v + 0*q. Determine k, given that a(k) = 0.
-1, 0, 1
Let o be (4802/63)/14 + 8/(-18). Let l(i) be the first derivative of 1/2*i**4 + 4/3*i**3 - i**2 + o - 4*i. Factor l(m).
2*(m - 1)*(m + 1)*(m + 2)
Let g be -12 + (-406)/(-35) - (-4)/10. Let y(d) be the second derivative of -7*d - 3/100*d**5 + 1/10*d**3 + 0*d**4 + 0 + g*d**2. Factor y(r).
-3*r*(r - 1)*(r + 1)/5
Factor 52/3 + 2*u**3 + 92/3*u**2 + 62*u.
2*(u + 2)*(u + 13)*(3*u + 1)/3
Let j(p) = -5*p**2 - p**2 - 5*p + 8*p + 0*p. Let y(f) be the third derivative of -f**5/20 + f**4/24 + f**2. Let o(h) = 4*j(h) - 9*y(h). Factor o(z).
3*z*(z + 1)
Suppose x = -5*u - x - 6, -9 = 3*u + 3*x. Let g(z) = -z**3 + z**2 + z + 5. Let y be g(u). Factor -122*v - 4*v**y + 122*v + 4*v**3.
-4*v**3*(v - 1)*(v + 1)
Suppose 6*z - 24 - 30 = 0. Let b be (-1)/(-6)*-2*z/(-4). Factor 0*q**2 + b*q**3 + 0*q - 3/4*q**4 + 0.
-3*q**3*(q - 1)/4
Let t(x) be the first derivative of 0*x + 0*x**3 + 0*x**5 - 6 + 0*x**2 - 1/20*x**4 + 1/30*x**6. Factor t(h).
h**3*(h - 1)*(h + 1)/5
Suppose -5*k + 9*k = 16. Let i be (0*((-28)/(-8) + -3))/1. Let i*w**2 + 1/2*w**k - 1/2 + w - w**3 = 0. Calculate w.
-1, 1
Let v(k) be the first derivative of -7*k**5/330 + k**4/132 + 5*k**2/2 - 4. Let f(h) be the second derivative of v(h). Factor f(b).
-2*b*(7*b - 1)/11
Let x(s) = 443*s + 2217. Let v be x(-5). Factor -3/2*g**v + 1/2*g + g**3 + 0.
g*(g - 1)*(2*g - 1)/2
Factor 26934/5 + 2/15*v**2 - 268/5*v.
2*(v - 201)**2/15
Let t = 747 - 5967/8. Let f(q) be the first derivative of 2 - 1/8*q**6 - t*q**4 - 3/8*q**2 - 3/5*q**5 - q**3 + 0*q. Find x such that f(x) = 0.
-1, 0
Suppose -5*b + 0*u - 2*u - 116 = 0, 2*u - 60 = 3*b. Let r be (-4)/(-5)*(-55)/b. Suppose 7*g**2 + g - 5 - g**3 - 9*g**2 + 3 + 4*g**r = 0. What is g?
-1, 1, 2
Let y(d) be the second derivative of 11*d**6/40 - 9*d**5/10 + d**4/4 - 38*d. Let y(p) = 0. Calculate p.
0, 2/11, 2
Find w, given that 4/3*w**5 + 6*w - 94/3*w**3 + 20/3 - 62/3*w**2 - 10*w**4 = 0.
-1, 1/2, 10
Let j(y) be the first derivative of 4/3*y**2 - 14/9*y**3 + 1/3*y**4 + 37 + 2/15*y**5 + 0*y. Factor j(u).
2*u*(u - 1)**2*(u + 4)/3
Let h(t) be the third derivative of 0 + 33*t**2 + 1/90*t**5 + 25/9*t**3 - 5/18*t**4 + 0*t. Factor h(x).
2*(x - 5)**2/3
Suppose 2*i = -4*i + 90. Let u(o) = -o**2 + 14*o + 19. Let r be u(i). Factor 0*a**2 + 0*a**2 + r - 2 + 3*a + a**2.
(a + 1)*(a + 2)
Suppose 6 = 3*r + 2*u, 2 = r + 3*u - 7. Solve 2/3*h - 2/3*h**2 + r - 1/2*h**3 = 0.
-2, 0, 2/3
Let y = -786 - -791. Find x, given that -1/8*x**y + 1/4*x**3 - 1/4 - x**2 + 1/4*x**4 + 7/8*x = 0.
-2, 1
Let u(n) be the third derivative of 7*n**2 + 0 + 0*n - 1/24*n**6 - 3/4*n**5 - 40/3*n**3 - 5*n**4. Factor u(y).
-5*(y + 1)*(y + 4)**2
Let d(f) be the third derivative of -f**7/3360 - f**6/720 - f**5/480 - f**3/6 + 4*f**2. Let m(a) be the first derivative of d(a). Solve m(r) = 0.
-1, 0
Factor 1/4*p**3 - 1/2*p + 0 - 1/4*p**2.
p*(p - 2)*(p + 1)/4
Suppose 2 = l + 2*i - 3, -3*l - 5*i + 17 = 0. Suppose -3*r = -5*t + 9, 0 = 2*t - l*r + 6*r. Determine a so that 0*a + 2/13*a**2 + 2/13*a**t + 0 = 0.
-1, 0
Let i be (1/2)/(11/((-33)/(-6))). Let x(y) be the first derivative of 6 - y**2 + y + i*y**3 - 1/20*y**5 + 1/8*y**4. Factor x(h).
-(h - 2)*(h - 1)**2*(h + 2)/4
Let l = 5/101 + 389/303. Let 2/3*t**2 + 2*t + l = 0. Calculate t.
-2, -1
Let a be 7/3 + (-3)/(-15)*90/108. Factor 0 - 5/4*t**2 - a*t + 5/4*t**3.
5*t*(t - 2)*(t + 1)/4
Let z(n) be the second derivative of n**4/60 - 17*n**3/15 + 289*n**2/10 + 21*n. Factor z(y).
(y - 17)**2/5
Suppose -3*s - 5*f = -14, 111*f - 112*f + 16 = 5*s. Factor 2/13*c**s + 18/13*c**2 - 50/13 + 30/13*c.
2*(c - 1)*(c + 5)**2/13
Let y = 399/790 - 2/395. Let x(a) be the third derivative of -3/32*a**4 + 1/80*a**5 + 0*a - y*a**3 + 0 + 3*a**2. Factor x(j).
3*(j - 4)*(j + 1)/4
Suppose -2*x - 2*t + 2 = 0, -3*x - 5*t + 0*t + 3 = 0. Suppose -o + 5*h = 2*o + x, 0 = 4*o + h - 14. Factor 34*a + a**2 + 13*a**2 - 4*a + 8 + 10 + 2*a**o.
2*(a + 1)*(a + 3)**2
Let w be ((-263)/1052)/(6/(-80)). Let g(a) be the first derivative of -5/4*a**4 + 0*a + 15/2*a**2 - w*a**3 - 6. What is y in g(y) = 0?
-3, 0, 1
Let l(c) be the second derivative of 2*c**6/15 + 2*c**5 + 25*c**4/3 - 263*c. Factor l(n).
4*n**2*(n + 5)**2
Let a be 2*(-231)/(-196) - (6 + 258/(-42)). Factor 0 + a*x**3 + 0*x - 5*x**2.
5*x**2*(x - 2)/2
Solve 2/7*g**2 - 12/7 - 2/7*g = 0 for g.
-2, 3
Factor -8/7*x**3 - 8/7 - 1/7*x**4 - 22/7*x - 3*x**2.
-(x + 1)**2*(x + 2)*(x + 4)/7
Let g(a) be the first derivative of 1/2*a - 10 + 0*a**2 - 1/6*a**3. Determine i so that g(i) = 0.
-1, 1
Let w be 54/(-14)*714/(-1071). Factor -18/7*z**4 - 60/7*z**3 - 66/7*z - 92/7*z**2 - 2/7*z**5 - w.
-2*(z + 1)**3*(z + 3)**2/7
Let d(u) = 8*u**2 - 156*u - 652. Let f(a) = -a**2 + 23*a + 93. Let i(y) = 3*d(y) + 20*f(y). Factor i(o).
4*(o - 6)*(o + 4)
Let d = -2931/4 + 735. Factor -d*b**3 + 0 - 3/4*b**4 - 9/4*b**2 - 3/4*b.
-3*b*(b + 1)**3/4
Let g(v) = -4*v**2 - 1. Let s(q) = -4*q**3 - 100*q**2 + 128*q + 6. Let r(j) = 6*g(j) + s(j). Factor r(f).
-4*f*(f - 1)*(f + 32)
Let f be 0 + (-10)/4*-2. Find a such that f*a - 2*a**2 + 11*a**2 - 4*a**2 = 0.
-1, 0
Let k = -14 + 11. Let y(f) = f**3 + 4*f**2 + 3*f + 4. Let o be y(k). Factor 3*d + 0*d**o - 15*d - 3*d**4 + 5*d**3 + 4*d**3.
-3*d*(d - 2)**2*(d + 1)
Let o(p) be the first derivative of -p**6/6 + p**5 - 3*p**4/4 - 5*p**3/3 + 2*p**2 + 409. Solve o(g) = 0.
-1, 0, 1, 4
Let d(u) be the second derivative of 2*u**7/21 - u**6/15 - 11*u**5/5 + 47*u**4/6 - 34*u**3/3 + 8*u**2 - 2*u - 57. What is h in d(h) = 0?
-4, 1/2, 1, 2
Suppose 9*g + 7*g + 1456 = 0. Let z = g + 100. Let 7/2*a**3 - 4 + 10*a - z*a**2 - 1/2*a**4 = 0. Calculate a.
1, 2
Let w(r) be the third derivative of 11/24*r**4 - 7/180*r**5 + 0*r + 5/9*r**3 + 0 - 6*r**2. Solve w(f) = 0 for f.
-2/7, 5
Let d(v) be the second derivative of -v**6/240 + v**5/16 - v**4/4 - 2*v**3 + 4*v.