st derivative of h**6/280 - h**5/140 - h**4/56 + h**3/14 + 3*h**2/2 + 2*h - 157. Let r(v) be the second derivative of l(v). Factor r(w).
3*(w - 1)**2*(w + 1)/7
Let b(z) be the third derivative of 4*z**5/15 + 137*z**4/6 + 68*z**3/3 - 47*z**2 - 2*z - 9. Factor b(t).
4*(t + 34)*(4*t + 1)
Let v be (-3906)/2232 + (-130)/(-56) - (-12)/(-70). Solve 0*l**2 - v*l**4 + 0*l + 6/5*l**3 + 0 = 0 for l.
0, 3
Let i be (-74)/111 - 76/(-66) - (-8)/44. Factor 2/3 - 22/3*r - i*r**2 + 22/3*r**3.
2*(r - 1)*(r + 1)*(11*r - 1)/3
Let v(t) = -2*t**2 - 29*t - 27. Suppose 0 = k + 7 + 15. Suppose 175*m - 42 = 154*m. Let o(a) = -a - 1. Let x(f) = k*o(f) + m*v(f). Factor x(y).
-4*(y + 1)*(y + 8)
Determine z, given that 3971*z**3 - 465*z**2 - 107*z**2 - 3967*z**3 + 1680*z = 0.
0, 3, 140
Let l(b) = 3*b**3 + 71*b**2 - 22*b + 48. Let z be l(-24). Suppose z = -46*x + 87 + 97. Factor 2/3 + 0*d**2 - 2/3*d**x + 4/3*d - 4/3*d**3.
-2*(d - 1)*(d + 1)**3/3
Let p(k) be the first derivative of 1/5*k**5 + 175 + 0*k**2 + 1/6*k**6 - 5/4*k**4 + k**3 + 0*k. Factor p(x).
x**2*(x - 1)**2*(x + 3)
Let q = 544804/7 + -77829. Factor -4/7*x + 1/7*x**3 + q*x**2 - 4/7.
(x - 2)*(x + 1)*(x + 2)/7
Determine d so that -136/3 - 656/9*d - 266/9*d**2 + 2/9*d**4 - 16/9*d**3 = 0.
-6, -2, -1, 17
Let r = 41566/186723 + -8/20747. Determine q, given that 20/9 + r*q**2 - 14/9*q = 0.
2, 5
Let y(o) = 7*o**2 + 3. Let h(d) = d**3 - 5*d**2 + 6*d - 6. Let t be h(4). Let z be y(t). Factor i**2 + 17 - 17 - 35*i**3 + 5*i - z*i**2.
-5*i*(i + 1)*(7*i - 1)
Let f be ((814/462)/(-37))/((2 + 52/(-24))/1). Factor 12/7*k + 18/7 + f*k**2.
2*(k + 3)**2/7
Suppose -5*z + 4*r = 2*r - 2, -4*r - 4 = 0. Suppose 6*m = -z*m + 30. Solve -4 - 79*c**m + 5*c + 4 + 10*c**2 - 10*c**4 + 74*c**5 = 0.
-1, 0, 1
Suppose 168*z + 93*z + 34*z = 885. Let l(q) be the first derivative of -3 + 4/5*q**2 - 6/5*q - 2/15*q**z. Let l(s) = 0. Calculate s.
1, 3
Factor 28*s**3 + 150*s**2 + 1/2*s**4 - 16*s - 800.
(s - 2)*(s + 4)**2*(s + 50)/2
Suppose 0 = 4*v + 7530 - 7590, 5*f + 45 = 4*v. Factor -3/2*l**f + 1/2*l**4 + 0*l + 0 + 1/8*l**5 + 0*l**2.
l**3*(l - 2)*(l + 6)/8
Let v(l) be the second derivative of 2*l**5/15 - 31*l**4/6 + 37*l**3/3 - 22*l**2/3 + 7*l - 44. Factor v(p).
2*(p - 22)*(p - 1)*(4*p - 1)/3
Suppose -5*i - x = 210, -3*x - 71 = 3*i + 67. Let p be i/4 - (-22)/2. What is t in 15/8*t + p - 15/8*t**3 - 9/8*t**4 + 3/8*t**2 = 0?
-1, -2/3, 1
Factor 0 + 206/5*o**2 - 4/5*o**4 - 82*o**3 + 0*o.
-2*o**2*(o + 103)*(2*o - 1)/5
Let -3/7*k**4 + 39/7*k**3 - 150/7*k**2 + 0 + 24*k = 0. What is k?
0, 2, 4, 7
Let l(o) = -2*o**2 + 33*o - 66. Let z be l(14). What is g in -11*g**2 - 424*g - 88*g**3 + 2712*g + 287*g**2 + 4*g**z + 2704 = 0?
-2, 13
Let n be 3/(-12) + (-74637)/(-84). Let b = n + -886. Factor -b + 16/7*f - 4/7*f**2.
-4*(f - 2)**2/7
Factor 6*x**3 - 649*x - x**3 + 35*x**2 + 119*x + 84*x - 9075 - 599*x.
5*(x - 15)*(x + 11)**2
Factor 516*l**3 + 31*l + 514*l**2 + 992*l**5 - 991*l**5 + 174*l**4 + 49*l + 91*l.
l*(l + 1)**3*(l + 171)
Let l(y) be the second derivative of 1/24*y**4 - 1/60*y**6 + 0 + 0*y**2 - 1/20*y**5 + 1/8*y**3 - 78*y + 1/168*y**7. Solve l(n) = 0 for n.
-1, 0, 1, 3
Let z be (-34)/510*3*-15. Suppose 4/3 + 1/3*h**z - 1/3*h**2 - 4/3*h = 0. Calculate h.
-2, 1, 2
Let d(y) be the third derivative of -y**9/15120 + y**8/2520 + 2*y**5/3 + 31*y**2. Let r(k) be the third derivative of d(k). Solve r(o) = 0.
0, 2
Let t(s) be the first derivative of s**5/25 - 3*s**4/20 - 28*s**3/5 - 134*s**2/5 - 48*s - 2366. Factor t(d).
(d - 12)*(d + 2)**2*(d + 5)/5
Let n(v) be the second derivative of -5/3*v**3 + 21/2*v**2 - 10 + 2*v + 1/12*v**4. Suppose n(u) = 0. Calculate u.
3, 7
Let k(b) be the third derivative of 7/48*b**4 - 1/240*b**5 - 49/24*b**3 + 0*b - 4*b**2 + 0. Determine h, given that k(h) = 0.
7
Let z = -6218 - -223849/36. Let x(g) be the second derivative of 0 + 5/36*g**3 + 1/6*g**2 + z*g**4 - 17*g. Find c such that x(c) = 0.
-2, -1/2
Let j = -69 + 62. Let c = 16 + j. Factor -9 - 1 - 28*t**3 + 3 - c - 80*t - 92*t**2.
-4*(t + 1)*(t + 2)*(7*t + 2)
Let o(i) be the first derivative of -i**9/5292 + i**8/2940 + i**7/245 - 29*i**3/3 + 38. Let l(f) be the third derivative of o(f). Factor l(m).
-4*m**3*(m - 3)*(m + 2)/7
Let j(h) be the second derivative of -100/3*h**2 - 1/18*h**4 - 3*h + 21 - 20/9*h**3. Factor j(l).
-2*(l + 10)**2/3
Factor -66*w**4 - 3*w**5 + 974*w**2 - 14*w**3 - 454*w**3 - 2054*w**2.
-3*w**2*(w + 6)**2*(w + 10)
Let m(x) = -5*x**4 + 95*x**3 - 205*x**2 - 215*x - 30. Let l(c) = -c**3 + c**2 - c + 1. Suppose 8*j - 664 = -656. Let n(h) = j*m(h) + 30*l(h). Factor n(a).
-5*a*(a - 7)**2*(a + 1)
Let z(h) be the first derivative of -3/2*h**2 + 1/24*h**4 + 1/60*h**5 - 1/3*h**3 - 4 + 0*h. Let l(p) be the second derivative of z(p). Factor l(t).
(t - 1)*(t + 2)
Let w(q) = -q**2 + 9*q - 4. Suppose -k - k = -u - 20, -5*k + 52 = -3*u. Let n be w(k). Factor 1 - 2 - 10*p + n*p**2 + 5 + 18*p.
4*(p + 1)**2
Suppose 0 = -2*k - 8 - 2. Let f be (k + 1)*(-23)/46. Determine c so that -4 - 1 - f - 16*c - 10*c**2 + 1 = 0.
-1, -3/5
Find n such that 380*n + 15/4*n**2 - 255 = 0.
-102, 2/3
Let t(x) be the first derivative of 2*x**6/5 - 273*x**5/25 + 165*x**4/2 - 363*x**3/5 - 2700. What is g in t(g) = 0?
0, 3/4, 11
Let k(q) = q**3 + 25*q**2 - 55*q - 24. Let v be k(-27). Suppose 4*l = 2*l - v*l. Solve 4/9*z**3 + 0*z**2 - 10/9*z**5 + l*z - 2/3*z**4 + 0 = 0.
-1, 0, 2/5
Let p(y) = -3*y**5 - 10*y**4 - 41*y**3 - 14*y**2 + 5*y + 5. Let r(i) = 4*i**5 + 15*i**4 + 60*i**3 + 21*i**2 - 7*i - 7. Let n(s) = -7*p(s) - 5*r(s). Factor n(j).
j**2*(j - 7)*(j + 1)**2
Factor -1299/8*z**2 - 81*z + 0 - 327/4*z**3 - 3/8*z**4.
-3*z*(z + 1)**2*(z + 216)/8
Let j(p) be the first derivative of -21*p**4/16 - 2*p**3 + 39*p**2/8 + 3*p/2 - 1612. Solve j(v) = 0.
-2, -1/7, 1
Let r(w) = -2*w**2 + w. Let x(g) = -5*g**2 + 16*g - 96. Let t = -351 - -355. Let h(a) = t*r(a) - x(a). Factor h(d).
-3*(d - 4)*(d + 8)
Let r(n) = -3*n**2 - 3*n - 2. Let b(w) = 19*w**2 + 18*w + 11. Let q(u) = 5*b(u) + 30*r(u). Factor q(j).
5*(j - 1)*(j + 1)
Let n(r) = 3*r**2 + 8*r + 161. Let q(j) = -4*j**2 - 8*j - 234. Let h(l) = 3*n(l) + 2*q(l). Suppose h(g) = 0. Calculate g.
-5, -3
Suppose 4*k + 264 = 4*h, k - 18 = 2*h - 152. Factor -23*q**2 + 19*q**2 - 104 - 151*q**2 - h*q**3 - 7*q**4 - 268*q - 73*q**2 + 3*q**4.
-4*(q + 1)**2*(q + 2)*(q + 13)
Let j be (-3)/((6 + -5)/7). Let h be 140/j - -5 - (-20)/12. Factor 1/7*s + 2/7*s**2 + h - 3/7*s**3.
-s*(s - 1)*(3*s + 1)/7
Let k = -1/430 - -1213/3870. Let u(g) be the first derivative of 1/6*g**4 + 0*g - 14/27*g**3 - 5/27*g**6 - 8 + 2/9*g**2 + k*g**5. Let u(c) = 0. What is c?
-1, 0, 2/5, 1
Let v = -31 - -52. Let r = -17 + v. Factor -5*y**r + 66*y + 7*y**2 - 5*y**3 - 61*y - 2*y**2.
-5*y*(y - 1)*(y + 1)**2
Let m be ((-25)/(-6) + -4)/((-66)/(-1320)). Let m*d**5 - 62/3*d - 20*d**3 - 4/3*d**4 + 104/3*d**2 + 4 = 0. What is d?
-3, 2/5, 1
Suppose 5*f = -32 + 152. Factor f*k - 27*k**2 + 4 + 25*k**2 - 26.
-2*(k - 11)*(k - 1)
Let v be (16/8)/((-6)/(-36)*(10 + -4)). Factor 25/6*g**v - 7/6*g**4 - g + 0 - 2*g**3.
-g*(g - 1)*(g + 3)*(7*g - 2)/6
Let k be (-10 - -15)*(-1)/(-1). Find l such that 160*l**2 - 232*l - 50*l**4 + 872*l - 120*l**3 - 7*l**5 + 2*l**k = 0.
-4, 0, 2
Let m(u) be the third derivative of u**6/1260 + u**5/60 - 2*u**4/21 - 37*u**3/2 + 4*u**2 - 11*u. Let n(a) be the first derivative of m(a). Factor n(q).
2*(q - 1)*(q + 8)/7
Let o = 69493 - 764981/11. Let g = -9464/187 - o. Factor -2/17*a + 4/17 - 4/17*a**2 + g*a**3.
2*(a - 2)*(a - 1)*(a + 1)/17
Let h = 789 - 783. Factor -16*x**2 - 5967*x**3 + 8 - 22*x**2 + h*x**4 + 5933*x**3 + 10*x**5.
2*(x - 2)*(x + 1)**3*(5*x - 2)
Suppose -4914*r - 6762 = -7030 - 19388. Suppose u - 2*u + 5 = 0. Suppose 2*x**2 + 20/3*x**3 + 0*x + 0 - 46/9*x**r + 8/9*x**u = 0. What is x?
-1/4, 0, 3
Suppose -518*y = -523*y + 1345. Factor 497*l**2 + 100 - 118*l**2 + 5*l**3 + 205*l - y*l**2.
5*(l + 1)**2*(l + 20)
Let w(r) be the second derivative of r**6/70 + 23*r**5/105 + 16*r**4/21 + 8*r**3/7 - 12*r**2 - 94*r. Let a(y) be the first derivative of w(y). Solve a(h) = 0.
-6, -1, -2/3
Let k(c) be the first derivative of c**3/12 - 1089*c**2/4 - 6634. Determine g, given that k(g) = 0.
0, 2178
Let k(h) = -9*h**3 + 202*h**2 - 4189*h + 16817. Let n(j) = 4*j**3 - 99*j**2 + 2094*j - 8408. Let f(r) = -6*k(r) - 14*n