 in 88*h - g - 20*h**2 - 5 - 19 + 2 = 0?
2/5, 4
Suppose 35*x - 38*x = -9. Let a be x/(-30) - 84/(-240). Find c, given that 0 + c - a*c**2 = 0.
0, 4
Determine n, given that -776 + 1588*n**2 + 857*n**2 + 1398*n + 772 - 430*n = 0.
-2/5, 2/489
Let r(t) = 28*t**3 + 182*t**2 + 220*t + 57. Let l(c) = -225*c**3 - 1455*c**2 - 1760*c - 455. Let f(o) = 3*l(o) + 25*r(o). Factor f(y).
5*(y + 1)*(y + 6)*(5*y + 2)
Solve 408/7 + 2/7*a**2 - 208/7*a = 0 for a.
2, 102
Suppose 9*j + 32 = 13*j - 3*s, 4*j + 5*s = 0. Let d(i) be the first derivative of 0*i**3 - 1/22*i**4 + 0*i + j + 1/11*i**2. Factor d(q).
-2*q*(q - 1)*(q + 1)/11
Suppose 36*l - 55 - 17 = 0. Solve 45 + 27*r**2 + 25*r**2 - 57*r**l = 0.
-3, 3
Let t = -413/47 + 10273/94. Let 69/2*m**2 - 9 + t*m = 0. Calculate m.
-3, 2/23
Let u = -178 + 208. Let q be 226/u + (-126)/18. Find y, given that 26/15*y**2 + q + 32/15*y + 2/5*y**3 = 0.
-2, -1/3
Let g = -5887 + 5889. Let x(r) be the first derivative of -7/3*r**3 - 1/4*r**4 - 7 + 0*r**g + 4*r + 1/6*r**6 + 3/5*r**5. Determine k so that x(k) = 0.
-2, -1, 1
Let k = -202 + 197. Let j(n) = n**3 - n**2 + n + 1. Let t(h) = -6*h**3 + 5*h**2 - h - 5. Let i(s) = k*j(s) - t(s). Solve i(b) = 0.
-2, 0, 2
Suppose -3 = -3*y + 42. Suppose -6*o + 3*o + y = 0. Suppose 80*j**3 - 17*j**4 - 55*j - 8*j**4 + 5*j**4 - 25*j**o + 10*j**2 + 10 = 0. Calculate j.
-2, -1, 1/5, 1
Let r = 87 + -84. Suppose 7*c**3 - 240*c**2 + 18*c**3 - 500 - 3*c**r + 10*c**3 + 600*c = 0. What is c?
5/2
Let d(l) be the first derivative of l**4/14 + 10*l**3/7 + 47*l**2/7 + 66*l/7 - 9065. Factor d(g).
2*(g + 1)*(g + 3)*(g + 11)/7
Factor -2/7*j**2 + 0 + 2/7*j**5 + 0*j + 6/7*j**3 - 6/7*j**4.
2*j**2*(j - 1)**3/7
Let f = -3307/9379 + 30/83. Let j = 1024/791 - f. Factor 0 + 0*s + 0*s**2 - 6/7*s**3 - j*s**4 - 3/7*s**5.
-3*s**3*(s + 1)*(s + 2)/7
Let h be (13*-82 + 1)/(6/(-4)). Suppose 15*r = 5*r + h. Let 0*f**2 - r*f - 484 + 0*f**2 - 17*f - 4*f**2 = 0. What is f?
-11
Let s(q) be the second derivative of -q**5/10 - 4*q**4/3 - q**3/3 + 42*q**2 + 502*q. Factor s(n).
-2*(n - 2)*(n + 3)*(n + 7)
Suppose b + 3*l = 0, -11 = 270*b - 274*b - l. Let h(o) be the second derivative of 0 + 4*o**2 + 1/3*o**4 + 2*o**b - 22*o. Solve h(q) = 0.
-2, -1
Let l = -1910 + 1929. Suppose -l*j - 18 + 75 = 0. Factor -3/2*v**j + 27/2 - 15/2*v**2 - 9/2*v.
-3*(v - 1)*(v + 3)**2/2
Let q(y) be the first derivative of -7*y**3 - 147/2*y**2 - 2*y + 26 - 1/4*y**4. Let d(s) be the first derivative of q(s). Solve d(l) = 0 for l.
-7
Let c be (-729)/(-324)*2*-1*(-11)/66. Factor 0*n**2 + 9/8*n**5 + c*n**4 + 0*n + 0 - 3/8*n**3.
3*n**3*(n + 1)*(3*n - 1)/8
Let q(u) = -11*u**2 + 182*u - 561. Let r(l) = 2*l**2 + l - 2. Let f(n) = 5*q(n) + 30*r(n). Factor f(h).
5*(h - 3)*(h + 191)
Let z be -1 - (-1)/(-4)*(-24)/(-2). Let g be 254*3/12 - 6/z. Solve -12*j**2 - g + 30 + 8*j**2 + 40*j - 65 = 0 for j.
5
Let p(q) be the first derivative of -q**2 - 1/27*q**6 + 4/9*q - 7/9*q**4 + 4/15*q**5 + 32/27*q**3 + 49. Determine w, given that p(w) = 0.
1, 2
Let r = -102 - 471. Let a = -573 - r. What is d in a - 5/3*d - 1/3*d**2 = 0?
-5, 0
Let t(u) be the third derivative of -u**7/525 + 7*u**6/200 + 47*u**5/100 - 17*u**4/24 - 5*u**3/2 + 53*u**2 + 28*u. Solve t(c) = 0.
-5, -1/2, 1, 15
Factor 12*z + 86 + 209 - z + 2*z**2 - 7 + 41*z.
2*(z + 8)*(z + 18)
Suppose 0*a = -7*a + 791. Factor 6 - 122*b**3 - 75*b**2 - 6 + a*b**3 + 54*b.
-3*b*(b + 9)*(3*b - 2)
Determine i, given that -75600 + 2824*i**2 - 3148*i**2 - 4*i**3 + 3471*i - 7671*i - 4440*i = 0.
-30, -21
Let -3*n**2 - 151*n + 50 + 50 + 4 - 5*n + 55 = 0. What is n?
-53, 1
Solve -192780*o**2 - 3685442733/5 - 600*o**3 - 20646738*o = 0 for o.
-1071/10
Let q(j) be the third derivative of -1/240*j**6 - 1/3*j**3 + 0*j - 74*j**2 + 1/12*j**4 + 0 + 1/120*j**5. Factor q(i).
-(i - 2)*(i - 1)*(i + 2)/2
Factor 2/5*g**2 + g + 0 - 3/5*g**3.
-g*(g + 1)*(3*g - 5)/5
Let l = -138821/600 + 1851/8. Let v(x) be the second derivative of 1/10*x**3 - 3/100*x**5 - 13*x + 0 - 1/5*x**2 + 1/60*x**4 + l*x**6. Let v(h) = 0. What is h?
-1, 1, 2
Let m(y) = -3*y**4 - 17*y**3 + 41*y**2 - 59*y + 23. Let x(j) = -5*j**4 - 34*j**3 + 83*j**2 - 116*j + 45. Let q(z) = 9*m(z) - 5*x(z). Factor q(a).
-(a - 2)*(a - 1)**2*(2*a - 9)
Determine c, given that 4*c + 3/2*c**4 + 11/6*c**2 - 10/3 - 1/6*c**5 - 23/6*c**3 = 0.
-1, 1, 2, 5
Let f(j) = j**4 + 5*j**3 - 34*j**2 - 71*j - 45. Let v(x) = -x**4 - 3*x**3 + 33*x**2 + 71*x + 44. Let k(p) = 4*f(p) + 6*v(p). Solve k(q) = 0 for q.
-3, -2, -1, 7
Let q be 36/(-14) - (-26728)/8995. Factor -q*h**3 + 1/5*h**4 - 1/5*h**2 + 2/5*h + 0.
h*(h - 2)*(h - 1)*(h + 1)/5
Let h(g) = -8*g**2 - 814*g + 2024. Let i(s) = -s**2 - 40. Let m(x) = -h(x) + 10*i(x). Find u, given that m(u) = 0.
3, 404
Determine r so that 1/4*r**5 + 1287/4*r**3 + 0 - 4563/4*r**2 + 75/4*r**4 + 0*r = 0.
-39, 0, 3
Let d = -7680175/19 - -404221. Solve -d*g**2 - 2/19*g**3 - 100/19 - 90/19*g = 0.
-5, -2
Solve 17200/3*h - 254*h**4 + 8128/3*h**3 + 16/3*h**5 + 7452*h**2 + 1250 = 0.
-1, -3/8, 25
Let l(r) be the first derivative of -r**6/720 + 19*r**5/240 + 5*r**4/12 - 19*r**3/3 + 185. Let g(n) be the third derivative of l(n). Solve g(w) = 0.
-1, 20
Let z(c) be the second derivative of -3*c**5/80 - 107*c**4/16 - 322*c**3 + 5880*c**2 + 2*c + 586. Solve z(f) = 0.
-56, 5
Let c(r) be the third derivative of -r**5/5 - 55*r**4/12 - 91*r**3/3 - 6625*r**2. Solve c(b) = 0 for b.
-7, -13/6
Let k(o) = -6*o**4 - o**3 + o**2. Let s(j) = 121*j**4 - 13*j**3 + 247*j**2 - 181*j - 42. Let b(q) = -66*k(q) - 3*s(q). Find y such that b(y) = 0.
-7, -2/11, 1, 3
Let c(v) be the third derivative of -5*v**8/336 - v**7/3 - 31*v**6/24 + 71*v**5/6 + 20*v**4/3 - 320*v**3/3 + 62*v**2 + 8. Let c(a) = 0. Calculate a.
-8, -1, 1, 2
Let b(r) be the second derivative of r**5/40 + 11*r**4/24 - 31*r**3/4 + 153*r**2/4 + 1573*r. Let b(p) = 0. Calculate p.
-17, 3
Suppose -7*t + 9*t = -56. Let q = -24 - t. Factor -179*l**q - l + 188*l**4 + l + 3*l**5.
3*l**4*(l + 3)
Suppose 48*u = 77*u - 1508. Suppose -53*f + u + 54 = 0. Factor 1/2*v**f + 1/4*v**3 + 0*v + 0.
v**2*(v + 2)/4
Suppose -652 = -177*p - 121. Solve -56*l - 24 - 22*l**4 + 14/3*l**5 - 2*l**p + 298/3*l**2 = 0.
-2, -2/7, 1, 3
Suppose 3*f - 7 = -v, 12*f - 22 = -5*v + 10*f. Let p(z) be the first derivative of -1/6*z**v + 0*z**3 - 4/15*z**5 - 1/9*z**6 + 0*z**2 + 0*z + 3. Factor p(l).
-2*l**3*(l + 1)**2/3
Let j(s) be the first derivative of -2*s**5/9 + 17*s**4/18 + 356*s**3/9 - 24*s**2 - 542. Find i, given that j(i) = 0.
-9, 0, 2/5, 12
Let 70*z**2 + 154*z - 40 - 17/2*z**3 = 0. Calculate z.
-2, 4/17, 10
Let j = 15 - 7. Let q(u) = -u**2 + 7*u + 10. Let r be q(j). Determine b, given that 0 + 2*b**r - b + 3 - 13 - 7*b = 0.
-1, 5
Suppose 0 = -552*w - 1437 + 1437. Factor w - 14/11*i**2 + 2/11*i**3 + 20/11*i.
2*i*(i - 5)*(i - 2)/11
Let k(c) be the first derivative of -9*c**5 + 555*c**4/2 - 7865*c**3/3 + 6290*c**2 - 5780*c - 1750. Find f such that k(f) = 0.
1, 34/3
Suppose -53*f - 797*f**2 + 803*f**2 + 12 - 25 - 142*f - 86 = 0. Calculate f.
-1/2, 33
Let b = 24/443 + 347/1772. Let l(f) be the first derivative of 1/12*f**3 - 1/8*f**4 + b*f**2 - 1/4*f - 8. Factor l(z).
-(z - 1)*(z + 1)*(2*z - 1)/4
Let l = 16392 - 819599/50. Let o(f) be the third derivative of -1/525*f**7 + 1/100*f**6 + 1/60*f**4 + 0 + 0*f**3 - l*f**5 - 9*f**2 + 0*f. Factor o(v).
-2*v*(v - 1)**3/5
Let q(i) be the third derivative of 5*i**8/336 + 2*i**7/7 - 11*i**6/24 - 73*i**5/2 - 500*i**4/3 - 320*i**3 - 461*i**2. Solve q(d) = 0.
-8, -1, 6
Suppose -9147592/3*x - 1000/3*x**3 - 2/3*x**4 + 9314926/3 - 55444*x**2 = 0. What is x?
-167, 1
Let j(z) = 16*z**3 + 36*z**2 + 40*z + 14. Let b(x) = -4 + x**3 + 0*x**4 + 3 - x**4. Suppose 0 = -4*d + d - 6. Let h(a) = d*j(a) + 4*b(a). Factor h(v).
-4*(v + 1)*(v + 2)**3
Let x(y) be the third derivative of -y**6/660 + 479*y**5/110 - 172797*y**4/44 + 514089*y**3/11 - 99*y**2 + 18*y. Find b such that x(b) = 0.
3, 717
Let f(l) be the first derivative of 178*l**3/5 + 803*l**2/5 + 12*l/5 + 3477. Factor f(x).
2*(x + 3)*(267*x + 2)/5
Let l = -5525442/197 - -28048. Let s = 2434/985 - l. Suppose -3/5*z**2 + 12/5*z - s = 0. What is z?
2
Let n(j) = -16*j**2 + 11*j + 15. Suppose 9*o = 7*o + 62. Let b = o - 25. Let a(v) = 47*v**2 - 32*v - 45. Let x(g) = b*a(g) + 17*n(g). Factor x(i).
5*(i + 1)*(2*i - 3)
Let z be (27 +