 Let p(g) = 16*g**2 - 205*g - 50. Let b(l) = -4*o(l) - 7*p(l). Factor b(r).
3*(r - 18)*(4*r + 1)
Let o be (-33)/(-4)*1 + 3680/(-460). Factor 0 + o*g**2 + 1/4*g.
g*(g + 1)/4
Factor 264/5*x - 8712/5 - 2/5*x**2.
-2*(x - 66)**2/5
Let j = 570 + -567. Let t(u) be the first derivative of 1/4*u**2 + 0*u**3 + j - 1/8*u**4 + 0*u. Factor t(h).
-h*(h - 1)*(h + 1)/2
What is g in -72 - 15*g + 1/4*g**3 + g**2 = 0?
-6, 8
Let o = -1 - -3. Suppose o*i**2 - 2*i - 8*i**2 - 13*i + 9 = 0. Calculate i.
-3, 1/2
Let g(n) = 2*n**3 + 6*n**2 - 5*n. Let k be g(1). Let i(t) be the first derivative of 0*t - k - 1/3*t**2 - 2/3*t**3. Solve i(z) = 0.
-1/3, 0
Let x be 15/3 - (-6 + 20/4). Let n(l) be the third derivative of -1/420*l**x + 0 + 0*l**5 + 1/84*l**4 - 5*l**2 + 0*l**3 + 0*l. Let n(r) = 0. Calculate r.
-1, 0, 1
What is x in -384/7 - 6/7*x**4 + 24/7*x**3 - 192/7*x + 72/7*x**2 = 0?
-2, 4
Let m(g) be the second derivative of -1/3*g**4 + 1/5*g**5 + 8*g**2 - 8/3*g**3 + 44*g + 0. Factor m(v).
4*(v - 2)*(v - 1)*(v + 2)
Let v be (75 - 79 - 158/(-44))*(-22)/12. Factor 0*t**2 + v*t**5 + 0 + 0*t + 0*t**3 - 9/4*t**4.
3*t**4*(t - 3)/4
Let o(y) be the third derivative of y**8/90720 - y**7/11340 + y**6/3240 + 13*y**5/60 - 5*y**2. Let j(k) be the third derivative of o(k). Factor j(a).
2*(a - 1)**2/9
Let q = -23 + 32. Suppose -3*y + q = -0. Find k such that -8*k + 32*k**5 + 0 - 4*k**5 + 0 + 4*k**2 + 60*k**y + 76*k**4 = 0.
-1, 0, 2/7
Let t(c) = -5*c**4 - 11*c**2 - 10. Let o(l) = l**4 + 2*l**2 + 2. Let n(a) = -11*o(a) - 2*t(a). Let h(v) be the first derivative of n(v). Factor h(j).
-4*j**3
Let p(g) be the second derivative of 0 + 1/2*g**4 - 3*g**2 + 1/2*g**5 - 5/3*g**3 - 13*g. Determine b, given that p(b) = 0.
-1, -3/5, 1
Suppose -8*z = -4*z + 60. Let k(c) = 18*c**3 - 15*c**2 + 24*c + 12. Let v(o) = -8 - 10 - o - o**3 + 19. Let j(m) = z*v(m) - k(m). Factor j(h).
-3*(h - 3)**2*(h + 1)
Let i(j) be the third derivative of -j**7/560 + j**6/160 - j**2 - 21. Let i(m) = 0. What is m?
0, 2
Let p(v) = v**2 - 38*v + 196. Let h be p(32). Determine z, given that 0*z**h + 0*z**2 - 1/5*z**5 + z**3 + 0 - 4/5*z = 0.
-2, -1, 0, 1, 2
Factor 2*g**2 + 28/3 - 46/3*g.
2*(g - 7)*(3*g - 2)/3
Let h(i) be the first derivative of i**4/11 + 2*i**3 - 18*i**2/11 - 34*i/11 + 288. Let h(b) = 0. What is b?
-17, -1/2, 1
Let b be 2/(-3)*-1*15/20. Suppose -14*q + 18 = -5*q. Factor 1 + 3/2*r + b*r**q.
(r + 1)*(r + 2)/2
Let s(g) be the third derivative of g**8/560 - g**7/280 + 2*g**3 + 2*g**2. Let x(i) be the first derivative of s(i). Factor x(a).
3*a**3*(a - 1)
Factor 0 - 2/9*s**2 + 26/9*s.
-2*s*(s - 13)/9
Suppose 3*g - 134 = 3*d - 140, 4*g = 3*d - 8. Factor 13/2*y**2 + y + d.
y*(13*y + 2)/2
Let b(u) be the second derivative of u**5/70 - 3*u**4/14 - u**3/21 + 9*u**2/7 + 2*u - 17. Factor b(x).
2*(x - 9)*(x - 1)*(x + 1)/7
Determine n, given that 6 + 11/2*n - 1/2*n**2 = 0.
-1, 12
Let p be (120/275)/((-51)/(-85)). Solve -p + 6/11*k + 2/11*k**2 = 0 for k.
-4, 1
Let z(v) be the second derivative of -v**6/15 + v**4/2 + 2*v**3/3 - v + 97. Factor z(d).
-2*d*(d - 2)*(d + 1)**2
Let u(o) be the second derivative of -1/15*o**4 + 0*o**2 + 0 - 4/15*o**3 - 11*o. What is t in u(t) = 0?
-2, 0
Let o(i) = i**5 + i**4 - i**2 - 1. Let t(r) = 4*r**5 + 4*r**3 - 8. Let l(v) = -8*o(v) + t(v). Suppose l(c) = 0. What is c?
-2, -1, 0, 1
Let w(v) be the second derivative of -2*v**6/15 - 2*v**5/5 + 4*v**4/3 + 16*v**3/3 + 58*v. Factor w(i).
-4*i*(i - 2)*(i + 2)**2
Let u be (115/500 + 2/(-8))*-48. Let r = u - -16/25. Suppose -22/5*d**3 + r - 16/5*d**4 + 26/5*d**2 + 32/5*d + 8/5*d**5 = 0. What is d?
-1, -1/2, 2
Let y(h) be the second derivative of -h**7/3360 + h**6/1440 + h**5/240 - 2*h**3 + 2*h. Let p(s) be the second derivative of y(s). Factor p(a).
-a*(a - 2)*(a + 1)/4
Factor 69*x**2 - 39*x**3 + 5*x + 13 - 22*x + 0*x + 6*x**4 + 8*x - 40.
3*(x - 3)**2*(x - 1)*(2*x + 1)
Let d = -59 - -61. Find a such that d*a**3 + 2*a**4 - 19*a - 7*a**2 + 17*a + 5*a**2 = 0.
-1, 0, 1
Let p(j) = -55*j**2 - 664*j - 46. Let t be p(-12). Factor -2/7*a**t + 6/7*a - 4/7.
-2*(a - 2)*(a - 1)/7
Suppose 6*h - 9 = -4*a + 3*h, -4*h + 5 = 3*a. Let z = 4261/30 - 1419/10. Factor -2/3*g**2 - 2/5*g - z*g**a + 6/5.
-2*(g - 1)*(g + 3)**2/15
Let i(t) be the third derivative of 1/80*t**6 + 0*t**3 + 1/70*t**7 + 0 - 6*t**2 + 0*t**4 + 0*t**5 + 1/224*t**8 + 0*t. Factor i(g).
3*g**3*(g + 1)**2/2
Let m(j) = -2*j**3 + 4*j**2 + 11*j - 19. Let k be m(2). Determine g so that 10*g**2 - 15/2*g + 0 - 5/2*g**k = 0.
0, 1, 3
Let w be (-2)/3*6*7/21. Let l = w - -16/9. Factor -10/9*d**3 - l*d**2 + 10/9*d + 4/9.
-2*(d - 1)*(d + 1)*(5*d + 2)/9
Let m(a) be the second derivative of -a**6/120 - a**5/80 + a**4/48 + a**3/24 - 25*a - 3. Factor m(g).
-g*(g - 1)*(g + 1)**2/4
Suppose -84*s - 1 = 4*a - 87*s, 0 = 4*a + 4*s - 20. Find v such that -6/5*v - 3/5*v**a - 3/5 = 0.
-1
Let p(a) be the second derivative of -1/5*a**2 + 0 + 9/50*a**5 - 1/2*a**4 + 7/15*a**3 - 29*a. Factor p(s).
2*(s - 1)*(3*s - 1)**2/5
Let z(i) be the second derivative of i**6/18 + 11*i**5/20 - 3*i**4/2 + 8*i**3/9 + 3*i. Factor z(v).
v*(v - 1)*(v + 8)*(5*v - 2)/3
Let n(z) = 21*z**2 + 414*z + 13068. Let p(u) = 18*u**2 + 411*u + 13068. Let g(q) = -5*n(q) + 6*p(q). Factor g(f).
3*(f + 66)**2
Let t be (-6)/11 - (-774)/1419. Solve 0*h**3 + 0*h**2 - 4/5*h**4 - 2/5*h**5 + t + 0*h = 0.
-2, 0
Factor -356*d + 90*d**2 + 200 + 2*d**3 + 96*d + d**3 - 5*d**4 + 6*d**3 - 4*d**3.
-5*(d - 2)**3*(d + 5)
Let v(x) = -9*x - 21*x - x**2 - 113 + 59. Let o be v(-28). Find l such that -7/5*l**o - 12/5*l + 4/5 = 0.
-2, 2/7
Let i(m) = 182*m + 6006. Let l be i(-33). Factor 0*n**3 - 2/11*n**2 + l + 2/11*n**4 + 0*n.
2*n**2*(n - 1)*(n + 1)/11
Suppose 648 = -0*x + 18*x. Factor -27*q - 31*q - x*q**2 + 33*q**2 - 363 - 8*q.
-3*(q + 11)**2
Let m = -4/157 + 374/2355. Let l(c) = -31*c - 370. Let k be l(-12). Suppose 8/15*v**k + m + 8/15*v = 0. What is v?
-1/2
Suppose -k - 3*k = 0. Suppose -p - 2*p + 6 = k. Factor -2*q + 0*q**p - 3*q**2 - q**2 + 2*q**2.
-2*q*(q + 1)
Let k(a) be the first derivative of 5*a**4/4 - 235*a**3/3 - 485*a**2/2 - 245*a + 25. Factor k(q).
5*(q - 49)*(q + 1)**2
Let t(n) = -5*n**2 + 6*n + 9. Let m(w) be the first derivative of -w**3/3 - 1. Let s(j) = 3*j - 5. Let x be s(2). Let f(v) = x*t(v) - 6*m(v). Factor f(o).
(o + 3)**2
Let v(s) = s**3 + s**2. Let y(w) = -260*w**3 + 2085*w**2 - 1140*w + 160. Let a(p) = -15*v(p) - y(p). Factor a(l).
5*(l - 8)*(7*l - 2)**2
Let y(q) be the second derivative of 2*q**6/15 - 2*q**5 - 4*q**4 + 20*q**3/3 + 22*q**2 + 4*q - 1. Suppose y(i) = 0. Calculate i.
-1, 1, 11
Let g(v) be the third derivative of v**5/270 - v**4/54 - 15*v**2 + 9. Determine j so that g(j) = 0.
0, 2
Let c be (-7)/(7 - 0)*(-1)/7. Let l(t) be the first derivative of 0*t**2 + 3/7*t**4 + 0*t + 3 - c*t**3. Let l(m) = 0. What is m?
0, 1/4
Suppose -246 = -45*w - 111. Let 3/7*y**w + 0 + 9/7*y**2 + 0*y = 0. Calculate y.
-3, 0
Suppose 0 = 2*y - 2*n - 8, -5*y + 10 + 8 = -3*n. Find o, given that 3*o - 4*o**y + o**5 - 2 + o - o + 2*o**2 = 0.
-2, -1, 1
Let a be (-74 - -85) + 453/(-45). Determine q so that -2/3*q**3 + a*q**2 + 2/15*q**4 + 0 - 2/5*q = 0.
0, 1, 3
Let x(i) be the third derivative of i**5/30 + i**4/2 - 7*i**3/3 - 132*i**2. Factor x(t).
2*(t - 1)*(t + 7)
Let g(i) be the second derivative of -i**4/6 + i**2 + 204*i. Factor g(z).
-2*(z - 1)*(z + 1)
Let k = -21 - 81. Let t = k + 512/5. Find d such that -t*d**2 - 2/5 + 4/5*d = 0.
1
Let v(u) be the first derivative of -u**6/3240 - 7*u**5/1080 - 5*u**4/108 - 11*u**3 + 2. Let j(g) be the third derivative of v(g). Factor j(o).
-(o + 2)*(o + 5)/9
Let r be (6 - 6/(-14)*-13)*7. Determine q, given that 0 + 9/2*q**2 - r*q - 3/2*q**3 = 0.
0, 1, 2
Let u(q) = -3*q**4 + 5*q**3 + 7*q**2 - 11*q + 2. Let c(r) = -r**4 + r**3. Let x(o) = -2*o**2 + 5*o + 3. Let s be x(-3). Let h(f) = s*c(f) - 5*u(f). Factor h(m).
5*(m - 1)**2*(m + 1)*(9*m - 2)
Let v(x) = 12154*x**2 - 1241*x + 39. Let f(n) = -6078*n**2 + 621*n - 19. Let a(q) = -7*f(q) - 3*v(q). Suppose a(k) = 0. Calculate k.
2/39
Suppose 290*w - 365*w = 0. Factor w*x + x**2 - 7/2*x**3 + 5/2*x**4 + 0.
x**2*(x - 1)*(5*x - 2)/2
Let c(x) be the second derivative of -x**4/21 - 712*x**3/21 - 63368*x**2/7 - 22*x + 2. Factor c(z).
-4*(z + 178)**2/7
Let j(z) be the third derivative of z**8/1680 - 4*z**7/1