*3*(j - 1)/7
Let r be 2/(-10) + ((-57)/15 - -3). Let o be (r/5)/(2*2/(-24)). Factor 9/5*g**2 - o*g + 0 - 3/5*g**4 + 0*g**3.
-3*g*(g - 1)**2*(g + 2)/5
Let g = -533 + 355. Let v = -707/4 - g. Determine x, given that -v*x**2 + x**3 - 7/4*x + 1/2 = 0.
-1, 1/4, 2
Let p(j) be the third derivative of j**5/60 - 25*j**4/8 + 37*j**3/3 - 360*j**2. Factor p(f).
(f - 74)*(f - 1)
Let j(m) = -5*m**2 + m - 4. Let o(u) = -u**2 - 1. Let s be (3/15)/((-6)/(-30)). Let r(v) = s*j(v) - 4*o(v). Factor r(q).
-q*(q - 1)
Let v = 1025/7077 - 2/1011. Let g(i) be the second derivative of -v*i**2 - 1/35*i**5 + 2/21*i**3 + 1/105*i**6 + 0*i**4 + 0 + 9*i. Factor g(d).
2*(d - 1)**3*(d + 1)/7
Let u(n) = 4*n**2 - 3*n**2 + n**3 - 2*n**2 - 3*n**2 + 6*n. Let m(y) = 2*y**3 - 8*y**2 + 13*y. Let l(f) = -4*m(f) + 10*u(f). Factor l(q).
2*q*(q - 2)**2
Let y(r) be the third derivative of -r**7/2940 + r**5/420 - 3*r**3/2 + 13*r**2. Let h(i) be the first derivative of y(i). Solve h(k) = 0.
-1, 0, 1
Let g be (-280)/12*196/(-490). Suppose 4/3*y**3 + g*y + 20/3*y**2 + 4 = 0. Calculate y.
-3, -1
Determine f so that 16/3*f - 14/3 - 2/3*f**2 = 0.
1, 7
Suppose 5*w + 3 = 3*j, 5*w + 5*j + 29 = 34. Factor 0 + 4/3*g**3 + 4/3*g**2 + w*g.
4*g**2*(g + 1)/3
Let u(o) = -2*o**2 + 4*o + 15. Let y be u(7). Let m = y - -167/3. Let m*w**4 + 0 - 14/15*w**3 + 0*w + 4/15*w**2 = 0. What is w?
0, 2/5, 1
Let q(h) = 2*h**2 + 28*h - 62. Let k be q(-16). Suppose 0 + 4/5*w - 4/5*w**k = 0. Calculate w.
0, 1
Let a(b) be the first derivative of -b**6/120 + 3*b**5/80 - b**4/24 - 14*b - 20. Let c(r) be the first derivative of a(r). Factor c(o).
-o**2*(o - 2)*(o - 1)/4
Let z(g) = g**2 + 20*g - 44. Let k be z(-21). Let f = k + 26. Find v such that 0 - 3/4*v - 3*v**4 + 21/4*v**f - 3/2*v**2 = 0.
-1/4, 0, 1
Let h(u) = u**2 - 2*u - 9. Let s(z) = -z + 1. Let l(y) = -4*h(y) - 12*s(y). Factor l(c).
-4*(c - 6)*(c + 1)
Factor 12/7 + 2/7*v**2 - 2*v.
2*(v - 6)*(v - 1)/7
Let t(k) be the third derivative of k**7/105 - k**6/15 - 221*k**2. Find u such that t(u) = 0.
0, 4
Let k(d) = -d**3 + 3*d**2 + 3*d - 8. Let n be k(2). What is m in -m**3 - 5*m**n - 2*m**3 - 7*m**3 + 5*m**3 = 0?
-1, 0
Let l(x) be the second derivative of x**5 + 65*x**4/12 + 55*x**3/6 + 5*x**2 + 195*x. Factor l(j).
5*(j + 1)*(j + 2)*(4*j + 1)
Let j(i) = 2*i - 3. Let a be j(-5). Let w = a + 19. Solve -d**4 + 2*d**4 - 3*d**2 - 2*d**2 + 2*d**3 + w*d**2 = 0 for d.
-1, 0
Let m(c) be the third derivative of c**6/180 - 2*c**5/15 + 7*c**4/12 + 8*c**3/3 - 34*c**2. Let z(p) be the first derivative of m(p). Let z(b) = 0. What is b?
1, 7
Let s(n) = 21*n - 756. Let d be s(36). What is w in -3/4*w**2 + 3/8*w**4 + 0*w + d - 3/8*w**3 = 0?
-1, 0, 2
Let m(k) be the second derivative of 2*k**7/63 - 16*k**6/45 + 22*k**5/15 - 28*k**4/9 + 34*k**3/9 - 8*k**2/3 + 8*k + 4. Factor m(o).
4*(o - 4)*(o - 1)**4/3
Let y(d) be the first derivative of -d**5/25 - 7*d**4/20 - 7*d**3/15 + 3*d**2/2 + 420. Factor y(n).
-n*(n - 1)*(n + 3)*(n + 5)/5
Suppose 4*c + 3*c - 14 = 0. Let z(a) = -21*a**2 - 111*a - 300. Let v(u) = -5*u**2 - 28*u - 75. Let o(y) = c*z(y) - 9*v(y). What is s in o(s) = 0?
-5
Let b be (-4)/(-6) - (-76)/(-24). Let o = -2 - b. Find i, given that 1/6 - 1/2*i + o*i**3 - 1/6*i**2 = 0.
-1, 1/3, 1
Let i = -36829 + 36829. Solve 0*y**3 + 0 + i*y**2 + 0*y - 2/3*y**5 + 2/3*y**4 = 0 for y.
0, 1
Let v(x) be the first derivative of -2*x**4 + 6*x**3 - 2*x**2 - 95. Find o such that v(o) = 0.
0, 1/4, 2
Let n be (0 + 58/(-60))*(-196)/(-294). Let u = 13/9 + n. Determine t, given that -u*t**2 - 2/5*t - 2/5*t**3 + 0 = 0.
-1, 0
Let g = 118 - 116. Solve -3*z - 7*z**4 - z**g + 16*z**3 + 4*z**2 - 13*z + 4 = 0 for z.
-1, 2/7, 1, 2
Let b(m) be the third derivative of -m**5/180 + m**4/12 - 4*m**3/9 + 33*m**2. Solve b(d) = 0.
2, 4
Let y(u) = -2*u**3 - 22*u**2 - 20*u. Let c(m) = 9*m**3 + 108*m**2 + 99*m. Let j(l) = -5*c(l) - 24*y(l). Suppose j(o) = 0. Calculate o.
-1, 0, 5
Let t(r) = r**2 + 77*r + 76. Let x(d) = -6*d**2 - 462*d - 456. Let g(o) = 34*t(o) + 6*x(o). Factor g(a).
-2*(a + 1)*(a + 76)
Let -96020 - 984*b**2 + 174*b**3 - 1875790 - 178*b**3 - 233662 - 80688*b = 0. Calculate b.
-82
Suppose -h = -0*h + 4*l - 22, -4*h + 2*l = 2. Factor u + 24*u + 4*u**3 + u**3 + 10 + 20*u**h.
5*(u + 1)**2*(u + 2)
Let d(s) be the second derivative of s**6/30 + s**5/15 - s**4/6 + s**3 - 10*s. Let f(o) be the second derivative of d(o). Determine y so that f(y) = 0.
-1, 1/3
Let g = 39 - 30. Factor -38 - 17*u - 15*u**3 + 14 - g*u + 54*u**2 - 10*u.
-3*(u - 2)**2*(5*u + 2)
Let l be (-15)/(-855) - (-48)/152. Determine y so that l*y**3 - 7/3 - 5/3*y**2 - 13/3*y = 0.
-1, 7
Let d(z) = z**2 - 1192*z - 70803. Let y(u) = 8*u**2 - 5961*u - 354014. Let j(g) = -11*d(g) + 2*y(g). Factor j(i).
5*(i + 119)**2
Let s = -9244 - -9247. Find i such that -s*i + 1/2*i**2 + 3/4*i**3 - 2 = 0.
-2, -2/3, 2
Let d(p) = -60*p**2 + 172*p + 6. Let f(m) = -15*m**2 + 43*m + 2. Let n(i) = -2*d(i) + 9*f(i). Determine o, given that n(o) = 0.
-2/15, 3
Let l(j) be the first derivative of -j**4 + 2*j**2 - 22 + 4*j - j**3 - 1/5*j**5. Factor l(i).
-(i - 1)*(i + 1)*(i + 2)**2
Let b = -54 - -70. Solve 27*a**3 + 18*a**2 - b*a**3 - 8*a**3 = 0.
-6, 0
Let o = -179 - -175. Let j(h) = -9*h**2 - 3*h - 6. Let z(g) = 8*g**2 + 4*g + 5 - 6*g + 6*g. Let c(f) = o*z(f) - 3*j(f). Factor c(m).
-(m + 1)*(5*m + 2)
Let y be 1/3 - 3/(-3). Let b be 5/165*11 - (-3 - 0). Factor 0 + 0*q + y*q**2 + b*q**3.
2*q**2*(5*q + 2)/3
Factor -36 + 300*v**2 - 23*v - 298*v**2 - 11*v.
2*(v - 18)*(v + 1)
Let y(m) be the first derivative of m**2/2 - 15. Let x(s) = -2*s**3 - 2*s**2 + 3*s. Let c(h) = -2*x(h) + 6*y(h). Factor c(v).
4*v**2*(v + 1)
Let w be (-6)/(-15) + (-24)/(-15). Let u be (w + 11/(-6))*(0 + 3). Let u*x**2 - 1/2 + 1/2*x**3 - 1/2*x = 0. Calculate x.
-1, 1
Let l(i) be the third derivative of i**7/105 - i**6/20 + 166*i**2. Solve l(v) = 0 for v.
0, 3
Let q be ((-238)/51)/(-7)*(-6)/(-2). Let 0 + 4/11*a - 2/11*a**q = 0. Calculate a.
0, 2
Let q be 2/(-5) - 585/2800*-2. Let m(x) be the third derivative of 0*x**3 - 1/280*x**6 + q*x**4 - 7*x**2 + 0*x + 1/490*x**7 - 1/140*x**5 + 0. Factor m(t).
3*t*(t - 1)**2*(t + 1)/7
Let t(i) = 95*i - 473. Let c be t(5). Let j(r) be the third derivative of 0 - c*r**2 - 1/60*r**6 + 0*r**5 + 0*r**3 + 1/12*r**4 + 0*r. Factor j(d).
-2*d*(d - 1)*(d + 1)
Suppose -3*u + 6*d + 11 = 7*d, 0 = -4*u - 2*d + 14. Solve 8/3 - 4*i - 2*i**u + 11/3*i**3 - 2/3*i**2 + 1/3*i**5 = 0 for i.
-1, 1, 2
Suppose 45*b - 20 = 41*b. Let m be -9*(1/(-21) + (b - 5)). Factor m - 1/7*i**2 - 2/7*i.
-(i - 1)*(i + 3)/7
Let w(t) be the second derivative of -t**7/28 + t**6/6 - 3*t**5/20 - t**4/3 + 3*t**3/4 - t**2/2 - 2*t + 9. Let w(i) = 0. What is i?
-1, 1/3, 1, 2
Let s be (-6)/(-21) - (-112)/294. Let a(r) be the first derivative of 4 + 1/4*r**4 - 1/2*r**2 - s*r**3 + 1/2*r + 3/10*r**5. Factor a(h).
(h - 1)*(h + 1)**2*(3*h - 1)/2
Let -3*o**2 - 120*o - 7795 + 6595 + 0*o**2 = 0. What is o?
-20
Let x(y) = y**2 + 30*y - 59. Let i be x(-32). Let f(c) be the second derivative of i*c + 0 + 0*c**2 - 1/42*c**4 + 1/21*c**3. Suppose f(a) = 0. What is a?
0, 1
Let y = 584669725/3069 - 190508. Let v = y - -1/341. Factor 2/9*f + 0 - v*f**2.
-2*f*(f - 1)/9
Suppose -3*l - 81 = -12*l. Let k = -7 + l. Suppose 0*c + 1/5*c**3 + 1/5*c**k + 0 = 0. Calculate c.
-1, 0
Let h be ((-8)/(-10))/((-110)/(-25) - 4). Factor 0 + 0*x**h + 3/4*x**4 - 3/2*x**5 + 0*x + 3/4*x**3.
-3*x**3*(x - 1)*(2*x + 1)/4
Let p be 30/4*((-2261)/190 - -12). Factor -3/4 - 1/4*s**3 + p*s**2 + 1/4*s.
-(s - 3)*(s - 1)*(s + 1)/4
Suppose -27 = -3*y - 4*r, -y + r = -5 - 4. Suppose y - 18 = -3*w. Determine c, given that -2/5*c**w + 0*c + 0 + 2/5*c**2 = 0.
0, 1
Let b be ((-28)/(-12) + -1)/((-8)/(-18)). Let i(n) be the second derivative of 0*n**2 + 0*n**b + 4*n + 1/10*n**6 + 0 + 0*n**5 - 1/4*n**4. Factor i(v).
3*v**2*(v - 1)*(v + 1)
Factor -176/3*n - 4/3*n**3 - 112/3 - 68/3*n**2.
-4*(n + 1)*(n + 2)*(n + 14)/3
Let i(b) be the third derivative of 3*b**8/224 - b**7/280 - b**6/160 + 96*b**2. Factor i(c).
3*c**3*(2*c - 1)*(3*c + 1)/4
Let c be 189/(-420) - (-3)/6. Let q(i) be the first derivative of 1/10*i**2 - c*i**4 - 1/25*i**5 + 0*i + 1/15*i**3 - 2. Determine t, given that q(t) = 0.
-1, 0, 1
Let v(d) = -4*d + 14. Let h be v(5). Let m be (-5)/(15/h) - 2. Factor 0 - 1/2*z**5 + 0*z**3 + m