l be ((-837)/(-558))/(((-30)/(-8))/1). Factor -8/5 - 4/5*x**2 - 14/5*x + l*x**3.
2*(x - 4)*(x + 1)**2/5
Factor -2060 + 2060 + 10*x**4 + 2*x**5 - 12*x**3.
2*x**3*(x - 1)*(x + 6)
Let c be 4/(0 - (-3 + 1)). Let i be c + 2 + -1 + 1. Determine d, given that -3*d - i*d**2 + d + 90*d**3 - 92*d**3 = 0.
-1, 0
Let x(q) be the second derivative of -2*q**7/105 + 7*q**5/15 - q**4 - 8*q**2 - 44*q. Let s(p) be the first derivative of x(p). Suppose s(g) = 0. Calculate g.
-3, 0, 1, 2
Suppose 4*k**5 + 4*k**3 - 5*k - 3*k - 4*k**4 + 17*k**2 - 5*k**2 - 8*k**4 = 0. Calculate k.
-1, 0, 1, 2
Let a(h) = 25*h**2 - 23*h - 3. Let t(i) = -i**4 - i**3 + i**2 - i + 3. Let z(l) = a(l) + t(l). Factor z(f).
-f*(f - 4)*(f - 1)*(f + 6)
Let d(h) be the first derivative of -2 - 2*h**3 + 4*h**2 - 7/6*h**4 + 8/3*h. Factor d(q).
-2*(q - 1)*(q + 2)*(7*q + 2)/3
Suppose 0 = -5*m + 10*i - 9*i - 240, 5*i = 0. Let r = -46 - m. Factor 0*v**r + 2/5*v**3 - 2/5*v + 0.
2*v*(v - 1)*(v + 1)/5
Let m be 50/4*(-712)/(-4450). Let k = -473/3 + 161. Determine f, given that k*f + 8/3*f**3 - 62/9*f**m - 4/9 = 0.
1/4, 1/3, 2
Let j(a) be the first derivative of -a**6/40 + a**5/20 + 13*a**2/2 - 12. Let y(s) be the second derivative of j(s). Factor y(g).
-3*g**2*(g - 1)
Let a = 2699/132 - -39/44. What is m in 2/3*m**4 - 16/3*m**3 + 16*m**2 + 32/3 - a*m = 0?
2
Let k = 13 - 2. Let z = -9 + k. Factor -z*t**2 + t - t - t**2.
-3*t**2
Let q(t) be the third derivative of -t**6/60 + t**5/10 - t**4/4 + t**3/3 - 2*t**2 + 2. Factor q(c).
-2*(c - 1)**3
Factor -1/4*r**3 + 47/4 + 93/4*r + 45/4*r**2.
-(r - 47)*(r + 1)**2/4
Let b be (-4)/(-10)*6/4. Suppose 13*u - 55*u = 21*u - 3*u. Determine a so that 6/5*a + b*a**2 + u = 0.
-2, 0
Let z(c) be the second derivative of c**5/35 - c**4/21 - 4*c**3/7 - 9*c - 1. Solve z(f) = 0 for f.
-2, 0, 3
Factor 522*a - 949/2*a**2 - 9/2*a**4 + 87*a**3 - 162.
-(a - 9)**2*(3*a - 2)**2/2
Suppose -3*l - 4*n + 1 + 3 = 0, 6 = 3*l + 3*n. Let w = 17 - 15. Factor -v**4 + v**3 + 0*v**l + 2*v**w - 12*v + 12*v.
-v**2*(v - 2)*(v + 1)
Suppose -2*j - 9 + 5 = -2*u, 0 = 2*j + 26*u - 108. Let 0*d + 0 - 34/13*d**3 - 4/13*d**j = 0. Calculate d.
-2/17, 0
Find k, given that -28/3*k**2 - 2/3*k**4 - 49/6*k**3 - 11/6*k + 0 = 0.
-11, -1, -1/4, 0
Let h(t) = t**2 + t + 1. Let r = -99 + 95. Let f(q) = q**3 + 6*q**2 - q + 3. Let p(v) = r*f(v) + 12*h(v). Factor p(j).
-4*j*(j - 1)*(j + 4)
Let j(t) be the second derivative of 0 + 1/150*t**6 + 1/20*t**5 + 0*t**2 - 6*t - 1/210*t**7 + 1/20*t**4 + 0*t**3. Find g, given that j(g) = 0.
-1, 0, 3
Suppose -12*i = -5*i - i. Let w(p) be the third derivative of -8*p**2 + 0*p**4 - 1/270*p**5 + 0*p + i + 0*p**3. Factor w(u).
-2*u**2/9
Let d(l) be the third derivative of 0*l + 5*l**2 - 7/6*l**4 + 1/63*l**8 + 17/45*l**5 + 11/30*l**6 - 16/105*l**7 + 0 - 2*l**3. Find g such that d(g) = 0.
-1/2, 1, 3
Factor -7*u**2 + 4*u**5 + 9*u**4 - 8 - 2*u**3 + 2*u**2 + 18*u**3 + 7*u**4 - 3*u**2 - 20*u.
4*(u - 1)*(u + 1)**3*(u + 2)
Let b(n) be the third derivative of n**8/224 + n**7/70 - n**6/40 - n**5/5 - 7*n**4/16 - n**3/2 - 8*n**2 - 1. Find m, given that b(m) = 0.
-1, 2
Let n = 0 - -5. Factor -10*o**5 + 14*o**4 + 2*o**5 + o**3 + 8*o**3 - n*o**3.
-2*o**3*(o - 2)*(4*o + 1)
Suppose 63*g = -8*g + 355. Let r(h) be the first derivative of 2*h**4 - 4*h**2 + 12*h + 4/5*h**g + 10 - 16/3*h**3. Factor r(n).
4*(n - 1)**2*(n + 1)*(n + 3)
Let q(j) be the third derivative of -1/30*j**6 + 0 - 2/3*j**3 + 1/15*j**5 + 4*j**2 + 1/6*j**4 + 0*j. Solve q(t) = 0 for t.
-1, 1
Let z(g) be the third derivative of -g**7/525 - g**6/300 + 2*g**5/25 + 40*g**2. Factor z(u).
-2*u**2*(u - 3)*(u + 4)/5
Suppose 10 = 7*c - 11. Factor 10*t**c - 7*t**2 + 2*t**4 - 9*t**2 + 6*t**3 - 6*t**4.
-4*t**2*(t - 2)**2
Factor -6*t**4 + 3*t**4 + 135 - 90*t + 10*t**3 - 60*t**2 + 5*t**4 + 3*t**4.
5*(t - 3)*(t - 1)*(t + 3)**2
Let u(h) be the first derivative of -2/5*h - 3/10*h**2 - 1/15*h**3 - 8. Factor u(i).
-(i + 1)*(i + 2)/5
Let k(l) be the third derivative of 0 - 1/90*l**6 - 49*l**2 + 1/945*l**7 + 14/27*l**4 - 16/9*l**3 - 1/90*l**5 + 0*l. Factor k(y).
2*(y - 4)**2*(y - 1)*(y + 3)/9
Factor 2/9*m**2 - 4/9*m - 70/9.
2*(m - 7)*(m + 5)/9
Suppose 46*j - 35*j = 22. Let m(q) be the first derivative of 0*q**3 + 0*q**j + 6/5*q**5 + 0*q - q**4 - 1/3*q**6 - 2. Factor m(o).
-2*o**3*(o - 2)*(o - 1)
Suppose 0*n = 9*n - 108. Solve 0*j**3 + j - n*j**2 + 3*j**3 + 11*j = 0 for j.
0, 2
Suppose -7*l**4 - 56*l**3 - 10*l**4 - 89*l + 15*l**4 + 46*l**4 - 196*l**2 - 7*l = 0. What is l?
-1, -8/11, 0, 3
Let i(h) be the second derivative of -h**4/30 + 128*h**3/15 - 4096*h**2/5 + 33*h - 2. Let i(z) = 0. Calculate z.
64
Factor 14*p + p**2 - 428*p + p**2 - p**2 - 4*p**2.
-3*p*(p + 138)
Let j(i) be the third derivative of i**6/240 - 3*i**5/40 - 17*i**4/24 - 2*i**3 - 142*i**2. Factor j(n).
(n - 12)*(n + 1)*(n + 2)/2
Let h be ((-3257)/5)/((-5)/25). Determine x, given that 8*x**3 - 3*x**4 - 3270*x**2 + h*x**2 + 2*x**4 + 6*x = 0.
0, 1, 6
Let d(z) be the first derivative of z**6/6 - 6*z**5/5 + z**4 + 2*z**3 - 5*z**2/2 + 75. Solve d(r) = 0 for r.
-1, 0, 1, 5
Let o(v) be the first derivative of -5*v**4/12 - 25*v**3/9 + 5*v**2 - 229. Factor o(b).
-5*b*(b - 1)*(b + 6)/3
Suppose 44*k**3 - 154*k**2 + 75*k**4 - 75 + 3 + 184*k - 77*k**4 = 0. Calculate k.
1, 2, 18
Suppose -1 - 5/3*x**2 - 1/3*x**3 - 7/3*x = 0. What is x?
-3, -1
Let n(a) = a**2 + 9*a + 5. Let j be n(-5). Let q = j - -77/5. What is c in 2/5 - q*c**2 + 0*c = 0?
-1, 1
Let j be 6 + (3 - 6) - (-27)/(-3). Let v(m) = 9*m**2 - 11*m + 2. Suppose r - 12 = 1. Let y(z) = 19*z**2 - 23*z + 4. Let p(n) = j*y(n) + r*v(n). Solve p(h) = 0.
2/3, 1
Let 48/7*v**2 + 32/7 - 16/7*v**3 - 64/7*v + 2/7*v**4 = 0. What is v?
2
Let x(c) be the first derivative of 2*c**3/39 + 79*c**2/13 + 12*c - 186. Let x(p) = 0. What is p?
-78, -1
Let l(z) be the second derivative of z**5/5 + 43*z**4/3 + 322*z**3 + 882*z**2 - 18*z - 1. Find w, given that l(w) = 0.
-21, -1
Suppose 3*g = -4*y + 2*g - 37, -15 = 3*y + 5*g. Let r be (y/(-4))/((-15)/10) + 2. Suppose -1/3*x**4 + 4/3*x**3 + 4/3*x - r - 2*x**2 = 0. What is x?
1
Suppose -2*u + 0*u = -8. Suppose -4*g = 5*w - 76, u*w = 2*g + 2*g - 40. Factor -1 - g*l + l**2 + 14*l.
(l - 1)*(l + 1)
Let d(y) be the second derivative of 0*y**2 + 1/6*y**6 + 0 + 0*y**3 + 0*y**5 - 9*y + 0*y**4. Determine p, given that d(p) = 0.
0
Let f(x) be the third derivative of x**8/5040 + x**7/315 + x**6/45 + 2*x**5/5 + 32*x**2. Let d(u) be the third derivative of f(u). Factor d(v).
4*(v + 2)**2
Let z be (-17)/((-144)/(-80)*20/(-6)). Let w(s) be the third derivative of 0 - 9*s**2 + 0*s + z*s**4 - 1/3*s**5 - 4*s**3. Factor w(b).
-4*(b - 3)*(5*b - 2)
Let i = -2596 - -2600. Let m(w) be the second derivative of 0 + 0*w**2 - 1/21*w**i - 4/21*w**3 + 4*w. Let m(u) = 0. What is u?
-2, 0
Suppose 0 + 16/11*l**4 - 6/11*l**5 - 56/11*l**2 + 24/11*l + 2*l**3 = 0. What is l?
-2, 0, 2/3, 1, 3
Let u be ((-2)/(-3))/(132 + -128). Let n(b) be the third derivative of 8*b**2 + 0*b + 0*b**3 + 0 - 1/15*b**5 + u*b**4. Factor n(i).
-4*i*(i - 1)
Find y such that 764*y**2 + 5200/3*y - 200/3*y**3 + 4/3*y**4 + 2704/3 = 0.
-1, 26
Let g(p) be the third derivative of p**5/120 - 2*p**4/3 - 17*p**3/3 - 177*p**2 - 3. Let g(w) = 0. Calculate w.
-2, 34
Let p be 2/1 + 1 + 2. Suppose 4*a + 11 = p*g, g - 1 = 2*a - 0*a. Factor 0 - 2/3*r + 1/3*r**4 - r**2 + 0*r**g.
r*(r - 2)*(r + 1)**2/3
Let a = 727/2 + -360. Factor -a*s**3 + 0 + 9/2*s**2 - s.
-s*(s - 1)*(7*s - 2)/2
Suppose -3*y + 2*j = -17, -2*y + 11*j - 8*j = -18. Let -8*q**2 - 4*q**4 - 2*q**4 + 5*q**y + 5*q**4 + 4*q = 0. Calculate q.
0, 1, 2
Let x(p) be the third derivative of -p**5/180 + 13*p**4/72 - 2*p**3/3 - 33*p**2. Factor x(o).
-(o - 12)*(o - 1)/3
Factor -171*f**3 - 75*f**3 + 22*f**3 - 24 + 228*f**2 - 24*f**2 + 44*f.
-4*(f - 1)*(7*f - 2)*(8*f + 3)
Factor 4*h**3 - 18*h + 11*h**2 + 13*h**2 + 18*h + 32*h.
4*h*(h + 2)*(h + 4)
Suppose -5 = -2*r + 5*i - 4*i, -15 = r - 4*i. Let v(s) be the second derivative of -1/5*s**r + 0*s**3 + 4*s + 0*s**2 + 0*s**4 + 0. Factor v(t).
-4*t**3
Suppose u = m + 3, -2*u - 2*m = 9 - 3. Let c(a) be the third derivative of 0 - 9*a**2 - 1/90*a**5 + 0*a**4 + u*a**3 + 0*a. Solve c(g) = 0.
0
Let a(c) be the second derivative of -c**5/80 - 19*c**4/24 + 13*c**3/8 + 3*c - 2. Find i such that a(i) = 0.
-39, 0, 1
Let n be (0 