) = -p - 6. Let w be v(2). Let y be (-2 + 2)/(w + 7). Factor y*i + 0 + 2/11*i**2.
2*i**2/11
Let n be (-9522)/30 - 3/5. Let o be (-6)/10 + n/(-30). Factor -5 - 2*w - 1 - 4*w**2 - w + o*w**2 + 3*w**3.
3*(w - 1)*(w + 1)*(w + 2)
Let f(n) be the second derivative of 19*n + 0 - 3*n**2 + 3/2*n**4 + 11/2*n**3. Factor f(r).
3*(r + 2)*(6*r - 1)
Find l such that -2/5*l**5 + 202/5*l**3 + 98/5*l**4 + 102/5*l**2 + 0*l + 0 = 0.
-1, 0, 51
Suppose -3/5*l + 0 - 1/5*l**2 + 3/5*l**3 + 1/5*l**4 = 0. What is l?
-3, -1, 0, 1
Factor -36/7*z - 16/7*z**3 + 2/7*z**4 + 0 + 6*z**2.
2*z*(z - 3)**2*(z - 2)/7
Let n(s) = 6*s**4 - 8*s**3 + 2*s**2 + 2. Let f(z) = -25*z**4 + 32*z**3 - 7*z**2 - 9. Let q(v) = -2*f(v) - 9*n(v). Factor q(x).
-4*x**2*(x - 1)**2
Suppose 0 = q + 4*q - 30. Let b be (-13)/(-52)*(12 + 0). Factor -2 - 1 - b*p**2 + 0 + q*p.
-3*(p - 1)**2
Let k(f) = -137*f**2 - 273*f + 4. Let v be k(-2). Let 8/3 + 2/3*i**3 - v*i**2 + 0*i = 0. Calculate i.
-1, 2
Let q = -210 - -1051/5. Let u(w) be the second derivative of -w**4 + 2/15*w**6 + q*w**5 - 10/3*w**3 - 4*w**2 + 0 - 2*w. Factor u(n).
4*(n - 2)*(n + 1)**3
Let k(u) = 1029*u - 3083. Let i be k(3). Factor 0*p + 2/5*p**2 + 6/5*p**i + 0 - 2/5*p**5 - 6/5*p**3.
-2*p**2*(p - 1)**3/5
Let q(v) be the first derivative of -v**3/6 + 62*v**2 - 7688*v + 213. Factor q(r).
-(r - 124)**2/2
Let i(n) = -2*n**4 + 2*n**3 - 4*n - 2. Let r(w) = -2*w**4 + 2*w**3 + w**2 - 5*w - 1. Let m be -4 - (-36)/(-2 - -6). Let b(t) = m*i(t) - 6*r(t). Factor b(j).
2*(j - 1)**3*(j + 2)
Let n = 10347/2 + -5173. Determine w, given that -w + 3/2 - n*w**2 = 0.
-3, 1
Let b(w) be the second derivative of 5*w**7/168 + 7*w**6/24 + 15*w**5/16 + 15*w**4/16 + 2*w - 60. Factor b(g).
5*g**2*(g + 1)*(g + 3)**2/4
Let u = 907 + -907. Let s(h) be the second derivative of -1/30*h**4 + 0 + 1/50*h**5 - 2*h + 0*h**3 + u*h**2. Solve s(y) = 0.
0, 1
Let o(c) be the first derivative of 16*c - 4/3*c**3 - 6*c**2 + 55. Solve o(u) = 0.
-4, 1
Let z(w) be the third derivative of 0*w - 8/27*w**3 + 1/540*w**6 + 1/135*w**5 - 7*w**2 - 1/27*w**4 + 0. Factor z(p).
2*(p - 2)*(p + 2)**2/9
Let f(v) be the first derivative of v**3/6 - 41*v**2/4 - 311. Factor f(l).
l*(l - 41)/2
Let y be (0 + 4 - 3)/(2/(-44)). Let u be y/(-18) + (3 - 4). Find r such that u*r**5 - 4/9*r**2 + 2/9*r**4 + 2/9 + 2/9*r - 4/9*r**3 = 0.
-1, 1
Solve -4 - x**3 + 8*x - 108*x**2 + 103*x**2 + 2*x**3 = 0 for x.
1, 2
Let d(i) be the third derivative of -6*i**2 + 1/8*i**6 - 1/8*i**4 + 0 - 3/20*i**5 + 0*i + 1/2*i**3 - 1/35*i**7. Factor d(x).
-3*(x - 1)**3*(2*x + 1)
Let j(t) = -6*t. Let k(b) = 8*b + 1. Let a(q) = -3*j(q) - 2*k(q). Let w be a(1). Factor -2/5*r**2 + 6/5*r**3 + 2/5*r**5 + w*r - 6/5*r**4 + 0.
2*r**2*(r - 1)**3/5
Let y(r) be the second derivative of 3*r**5/16 - 29*r**4/16 + 11*r**3/4 + 21*r**2 + 944*r. Suppose y(x) = 0. What is x?
-1, 14/5, 4
Let s be ((-1)/4 + 13/12)*(-3096)/(-5160). Factor -1/2*a**2 + 1/2*a**3 + s*a**4 - 1/2*a**5 + 0 + 0*a.
-a**2*(a - 1)**2*(a + 1)/2
Let x(y) be the second derivative of -10/7*y**4 + 17*y - 12/35*y**5 - 8/3*y**3 + 0 - 18/7*y**2 - 2/105*y**6. Factor x(z).
-4*(z + 1)**3*(z + 9)/7
Let c(p) be the first derivative of -2*p**5/75 + 2*p**4/15 - 2*p**3/15 - 4*p**2/15 + 8*p/15 + 457. Let c(o) = 0. What is o?
-1, 1, 2
Let s(g) = -3*g**2 - 43*g - 150. Let i be s(-7). Find a such that -a**2 + 0 + 4/3*a**3 + 1/3*a**i - 6*a = 0.
-3, 0, 2
Let s = 2237806/261079 + 2/37297. Suppose -26/7*x - 4/7 - 6/7*x**5 - 64/7*x**3 - s*x**2 - 32/7*x**4 = 0. What is x?
-2, -1, -1/3
Suppose -2*s = -5*s. Let c be ((-15)/(-10))/((-15)/(-6)). Factor -3/5*o**2 + s - c*o.
-3*o*(o + 1)/5
Let d(o) = o**2 - 18*o + 83. Let q be d(8). Let s(x) be the first derivative of 35/2*x**2 - 10*x - 10 - x**5 - 15*x**q + 25/4*x**4. Factor s(b).
-5*(b - 2)*(b - 1)**3
Suppose -4*n + 28 = -4*f, -2*f + 4*n - 16 = 2. Let r be 16/(-4) + (f - 37/(-4)). Solve 0*t + 3*t**5 + 0 + 0*t**2 + 1/4*t**4 - r*t**3 = 0 for t.
-1/3, 0, 1/4
Suppose 9/2*z**2 + 0 + 87/4*z**3 + 21/4*z**5 + 0*z + 45/2*z**4 = 0. What is z?
-3, -1, -2/7, 0
Let c(p) be the first derivative of 43 + 2/11*p**2 - 10/33*p**3 + 2/55*p**5 + 3/22*p**4 - 1/33*p**6 + 0*p. Factor c(r).
-2*r*(r - 1)**3*(r + 2)/11
Factor -18 + 1947*p + 6 - 1920*p - 18*p**2 + 3*p**3.
3*(p - 4)*(p - 1)**2
Suppose 2/7*l**4 + 4/7*l**2 + 0*l + 0 + 6/7*l**3 = 0. Calculate l.
-2, -1, 0
Let o(d) be the first derivative of 0*d + 4/21*d**3 + 14 - 6/7*d**2. Suppose o(g) = 0. Calculate g.
0, 3
Let o(h) be the first derivative of -5/3*h**3 + 0*h - 6 - 15/2*h**2 + 5/2*h**4. Let o(m) = 0. What is m?
-1, 0, 3/2
Let c(a) be the second derivative of -a**4/16 - a**3/2 - 3*a**2/2 + 4*a - 1. Solve c(d) = 0 for d.
-2
Let f = 663/14 + -321/7. Factor 0 + 0*u**2 - 3/2*u**3 + 0*u + f*u**4.
3*u**3*(u - 1)/2
What is d in -36/7 + 39/7*d - 6/7*d**3 + 69/7*d**2 = 0?
-1, 1/2, 12
Let a be (182/7 - 25)/(2/1). Factor -7/2 - 4*c - a*c**2.
-(c + 1)*(c + 7)/2
Let p = -285 + 1711/6. Let u(s) be the third derivative of 1/30*s**5 + 0*s - 1/105*s**7 + 0*s**3 - 6*s**2 + 1/30*s**6 + 0 - p*s**4. Factor u(i).
-2*i*(i - 2)*(i - 1)*(i + 1)
Let u(n) = n**3 + 16*n**2 + 62*n + 38. Let m(w) = -2*w**3 - 30*w**2 - 125*w - 76. Let s(p) = -6*m(p) - 14*u(p). Solve s(z) = 0 for z.
-19, -2, -1
Let x = -36 - -57. Let c(b) = -b**3 + b**2 - b. Let l(a) = 4*a**4 - a**4 + 2*a**4 + 19*a**3 - 4*a**2 + 2*a**4 + 5*a. Let m(q) = x*c(q) + 3*l(q). Factor m(y).
3*y*(y + 1)**2*(7*y - 2)
Let j be -3 + 1*(7 - (-8)/4). Let s be (8/j)/4*0. Factor 0*r + 0*r**3 + 0 + s*r**2 + 1/3*r**4.
r**4/3
Suppose -30*h = -1279 + 1219. What is o in -2/9 + 2/9*o**h + 0*o = 0?
-1, 1
Let f(k) be the second derivative of -k**7/1960 - k**6/504 - k**5/840 + k**4/168 + 23*k**3/6 + 19*k. Let h(y) be the second derivative of f(y). Factor h(z).
-(z + 1)**2*(3*z - 1)/7
Let x(o) be the second derivative of o**4 - 9*o + 1/2*o**7 - 2/5*o**6 - 3/2*o**5 + 0 + 0*o**2 + 3/2*o**3. Solve x(t) = 0.
-1, -3/7, 0, 1
Let x be (-6 + 7)*(20 + 1). Suppose 5*i**2 + 7*i**2 + 9*i**2 - 3*i**3 - 27*i + 30*i - x*i**4 = 0. Calculate i.
-1, -1/7, 0, 1
Let s = 5054 + -35372/7. Solve -s*h**2 - 24/7 + 4*h + 1/7*h**4 - 3/7*h**3 = 0.
-3, 2
Let q = 6920 - 145346/21. Let k = 125/84 + q. Factor -1/4*z**2 + k + 0*z.
-(z - 1)*(z + 1)/4
Suppose -5*o = -2*s + 14 + 24, -4*o - 27 = -5*s. Let c(g) = -2*g**3 - 16*g**2 - g - 6. Let w be c(o). Factor 0 - 1/4*x**w - 3/4*x.
-x*(x + 3)/4
Let c = 76299/352 - 16665939/76384. Let g = 2/2387 - c. Determine m, given that g*m**2 - 6/7*m**3 - 2/7 - 2/7*m = 0.
-1/3, 1
Let u be (3/(-12))/((-1)/4). Let k(p) = 3*p**2 + 2*p - 2. Let i be k(u). Factor -i - 5 + 3*o - 8*o**2 - 28*o**2 + 33*o.
-4*(3*o - 2)*(3*o - 1)
Factor -24*d**3 + 0 - 25/7*d**4 - 1/7*d**5 - 144/7*d**2 + 0*d.
-d**2*(d + 1)*(d + 12)**2/7
Suppose -10 - 10 = -4*z. Suppose -x = -2*o + 7*o - 22, 0 = z*o - x - 18. Factor -1/3 + 1/3*n**o - 2/3*n**3 + 0*n**2 + 2/3*n.
(n - 1)**3*(n + 1)/3
Let g = -2175 + 2175. Let g + 4/3*o**2 - 8/3*o = 0. Calculate o.
0, 2
Let f be (-1)/6 + (0 - (-443)/12). Let k be 149/4 - (-8)/2. What is t in -f*t**2 - 3/2 - k*t**3 - 51/4*t - 63/4*t**4 = 0?
-1, -1/3, -2/7
Let u(v) be the first derivative of v**6/810 + v**5/90 - 2*v**4/27 - 9*v**3 + 33. Let f(m) be the third derivative of u(m). Let f(q) = 0. Calculate q.
-4, 1
Solve -2*l + 7/3 - 1/3*l**2 = 0.
-7, 1
Let l(u) = -u**2 - 9*u + 6. Let b be l(-6). Factor -v**4 - 2*v**3 - v**3 + b*v**2 - 26*v**2.
-v**2*(v + 1)*(v + 2)
Let l(d) be the second derivative of -d**5/10 + d**4/3 + 13*d**3/3 + 10*d**2 + 3*d - 5. Factor l(c).
-2*(c - 5)*(c + 1)*(c + 2)
Let i = -2/889 - 10658/4445. Let c = -31/15 - i. Factor -2/3*t - 4/3*t**3 + 5/3*t**2 + 0 + c*t**4.
t*(t - 2)*(t - 1)**2/3
Let a be (490/(-21))/14 - -5. Suppose 5/3*q**2 + 5/3 + a*q = 0. Calculate q.
-1
Let t(k) = 15*k**4 + 30*k**3 - 15*k**2 - 115*k - 75. Let x(g) = 8*g**4 + 15*g**3 - 7*g**2 - 57*g - 37. Let z(i) = 3*t(i) - 5*x(i). Determine w so that z(w) = 0.
-2, -1, 2
Factor 18/5 - 3/5*i - 1/5*i**2.
-(i - 3)*(i + 6)/5
Let k(d) be the third derivative of -d**5/12 + 205*d**4/24 - 159*d**2. Factor k(z).
-5*z*(z - 41)
Let g(h) be the first derivative of -1/20*h**4 + 4/5*h - 1/5*h**3 + 0*h**2 + 11. Suppose g(y) = 0. What is y?
-2, 1
Suppose 21 + 35 = 8*t. Let -10 + 13 - t + 2*m**4 - 3*m**4 + 5*m**2 = 0. What is m?
-2, -1, 1, 2
Let o be (-12)/3 - -