he third derivative of d(m). Factor c(o).
2*o*(o - 1)*(o + 4)/9
Let x = 112 - 109. Suppose 3*g = -3*l - 9, x*g = 6*g + 15. Find w, given that -w**3 - 144*w - l*w**3 + 48*w**2 - w**3 + 0*w**3 = 0.
0, 6
Let i(n) be the second derivative of 0 + 15/2*n**3 - 3*n**2 + 17/4*n**4 - 38*n. Factor i(x).
3*(x + 1)*(17*x - 2)
Suppose 114*o - 74*o = 57*o - 34. Let j(m) be the second derivative of 290/3*m**3 + 165/2*m**4 + 24*m + 9/2*m**6 + 60*m**o + 135/4*m**5 + 0. Factor j(d).
5*(d + 3)*(3*d + 2)**3
Suppose 4*x = 8*x + 56, -5*m - 83*x = -79*x + 46. Factor -3/8*l**4 + 0 - 3/2*l**3 + 0*l - 9/8*l**m.
-3*l**2*(l + 1)*(l + 3)/8
Let w = 74794 - 373968/5. Suppose 28/5*s + w*s**4 - 26/5 - 28/5*s**3 + 24/5*s**2 = 0. What is s?
-1, 1, 13
Suppose 159*q - 154*q = -2*z + 55, -3*z + q = 11. Determine m, given that 8/3*m**3 - 2/3*m**4 + z - 8/3*m**2 + 0*m = 0.
0, 2
Let g be (16 + -19)/(6/(-8)). Suppose g*k - 19 = 1. Factor 22*d + k*d**2 + 5 - 19 - 7*d - 6.
5*(d - 1)*(d + 4)
Let w(g) be the first derivative of -4/3*g + 7/3*g**2 - 64 + 4/9*g**3 - 7/6*g**4. Suppose w(q) = 0. Calculate q.
-1, 2/7, 1
Let s = 622 - 631. Let z be (1/(-17))/(s/18). Solve -4/17*a + 0 - z*a**2 = 0.
-2, 0
Let l(j) be the third derivative of -35/8*j**4 - 77*j - 1/12*j**5 + 55/3*j**3 + 2*j**2 + 0. Factor l(a).
-5*(a - 1)*(a + 22)
Suppose -214*x = -33*x - 13*x - 220 - 116. Let d be (-2)/10 + 173/40. Factor 9/4*v**3 + 9/4*v + 0 + 3/8*v**4 + d*v**x.
3*v*(v + 1)*(v + 2)*(v + 3)/8
Let f be 1/23 + (-69789)/(-111987). Factor 2/3*g**2 - f*g - 4/3.
2*(g - 2)*(g + 1)/3
Suppose -5967*w = -5983*w + 32. Let q(p) be the first derivative of 25 + 11/6*p**w + p**3 + 2/3*p. Factor q(r).
(r + 1)*(9*r + 2)/3
Let l(a) be the second derivative of -a**5/70 - 5*a**4/7 + 11*a**3/7 + 62*a**2/7 - 4*a - 315. Suppose l(f) = 0. Calculate f.
-31, -1, 2
Let y be 3 + -2*((-18)/(-12))/1. Let t(c) be the second derivative of y - 245/6*c**3 - 130/3*c**4 - 4*c**5 + 8*c - 15*c**2. Factor t(i).
-5*(i + 6)*(4*i + 1)**2
Let c be (-21)/(-1764)*-228 + 4. Factor 27/7*q - c*q**2 - 12/7*q**3 - 6/7.
-3*(q - 1)*(q + 2)*(4*q - 1)/7
Suppose -87/5*d - 162/5 + 78/5*d**2 + 3/5*d**3 = 0. Calculate d.
-27, -1, 2
Let s(b) be the third derivative of -b**6/40 + 46*b**5/5 + 185*b**4/8 - 3*b**2 - 64. Factor s(h).
-3*h*(h - 185)*(h + 1)
Suppose -11*o + 12*o - 1 = -3*k, 0 = -4*o + 5*k - 47. Let a be ((-30)/(-108)*2)/(o/(-36)). Factor 5/2*p**3 + 0*p + 0 - a*p**2.
5*p**2*(p - 1)/2
Suppose -3*l = 2*q, l - 3*q = -4*l. Let s = 3 + l. Determine x so that -2*x + 16*x**2 - 5*x**2 + 80*x**4 - 5*x**5 - 21*x**s - 63*x**4 = 0.
0, 2/5, 1
Suppose 0 = -2*f + 4 + 8. Suppose 0 = -f*o + 23 - 5. Factor 6 + 3 - o*v**2 + 3.
-3*(v - 2)*(v + 2)
Let l(u) = -u**3 + 4*u**2 + 8*u - 11. Let m be l(5). Suppose -5*k - 12 - m*k + 8*k**2 - 7*k**2 + 2 = 0. What is k?
-1, 10
Let k(t) = 21*t**2 + 714*t - 2301. Let j(o) = 3*o**2 + 102*o - 329. Let q(f) = 15*j(f) - 2*k(f). Factor q(n).
3*(n - 3)*(n + 37)
Factor 23*n**2 - 8*n**2 + 5*n**5 + 329*n**3 + 5*n**4 - 354*n**3.
5*n**2*(n - 1)**2*(n + 3)
Factor 18/7*s**2 - 111/7*s + 92/7 + 1/7*s**3.
(s - 4)*(s - 1)*(s + 23)/7
Let v(n) be the first derivative of n**6/90 - n**5/5 - 9*n**3 - 4*n + 59. Let o(g) be the third derivative of v(g). Factor o(p).
4*p*(p - 6)
Let i(o) = -o**2 + o. Let z(u) = -u**2 - 19*u. Suppose 0 = 30*j - 32*j + 12. Let p(g) = j*i(g) - z(g). Factor p(h).
-5*h*(h - 5)
Suppose 0 = 2*d - 4*l - 4, -28*l = 4*d - 23*l + 5. Let w(p) be the second derivative of d*p**2 + 0*p**4 + 1/4*p**3 + 0 + 12*p - 3/40*p**5. Factor w(g).
-3*g*(g - 1)*(g + 1)/2
Let q(i) = 2*i**3 + 752*i**2 + 4294*i + 6440. Let r(k) = -6*k**2 + 5*k + 1. Let p(v) = q(v) + 4*r(v). Suppose p(d) = 0. What is d?
-358, -3
Let x be (-1071)/(-180) - 3/4. Let c = 1889/4710 + -1/942. Factor -3/5*n**5 - 14/5*n**4 - 11/5*n - c - 24/5*n**2 - x*n**3.
-(n + 1)**4*(3*n + 2)/5
Let a = 477/20 - -4562/5. Let t = a + -936. Factor -9/8*l**3 - 5/8*l + 2*l**2 - t.
-(l - 1)**2*(9*l + 2)/8
Let a = -217 - -220. Let w be (0/(-2) - 153/54) + a. Factor 4/3*b**2 + 0*b + b**4 + 0 + w*b**5 + 2*b**3.
b**2*(b + 2)**3/6
Let r be 2/14 + -1 + 1539/504. Let g = 21/8 - r. Factor -1/7*f**4 + g*f**2 + 2/7*f + 0*f**3 + 0.
-f*(f - 2)*(f + 1)**2/7
Let s(f) be the second derivative of -2*f**6/75 + 8*f**5/25 + f**4/15 - 16*f**3/15 + 168*f - 3. Solve s(g) = 0.
-1, 0, 1, 8
Let 7338*k**2 + 4*k**3 - 3621*k**2 + 592*k + 816 - 3617*k**2 = 0. Calculate k.
-17, -6, -2
Let t be (57017/(-402) + 122)*6/(-14). Solve -13/4*i**4 + t*i**3 + 31/2*i**2 - 35/4*i + 1/4*i**5 - 49/4 = 0.
-1, 1, 7
Let c(i) = 993*i + 2979. Let j be c(-3). Let -8/3*o**2 + 4/9*o**3 + j + 4*o = 0. Calculate o.
0, 3
Let a(f) be the third derivative of 5*f + 1/8*f**4 - 1/1344*f**8 + 11/240*f**5 - 10*f**2 + 1/6*f**3 + 1/480*f**6 - 1/280*f**7 + 0. Factor a(d).
-(d - 2)*(d + 1)**3*(d + 2)/4
Let c(t) be the first derivative of t**5 - 20*t**4 + 425*t**3/3 - 375*t**2 - 776. Factor c(v).
5*v*(v - 6)*(v - 5)**2
Suppose 10*u - 5*u - 10 = 0. Suppose -k = 3*k - 4*j - 8, 4 = u*k - 4*j. Factor -1136*l - l**2 - 3*l**k - 64 + 1168*l.
-4*(l - 4)**2
Let l(p) be the first derivative of -1/120*p**6 + 0*p + 0*p**2 + 5*p**3 - 9 + 1/24*p**5 + 1/12*p**4. Let j(a) be the third derivative of l(a). Factor j(o).
-(o - 2)*(3*o + 1)
Suppose 0 = -2*g + o + 16, 18*o - 8 = 20*o. Factor -g*f + 17*f + 4*f - 12*f**2 + 137 - 143 + 3*f**3.
3*(f - 2)*(f - 1)**2
Let 98*n - 2875*n**5 + 142*n - 57*n**2 - 155*n**3 - 13*n**2 + 2880*n**5 - 20*n**4 = 0. Calculate n.
-3, -2, 0, 1, 8
Factor -23/2*o - 12*o**2 - 1/2*o**3 + 0.
-o*(o + 1)*(o + 23)/2
Let k(y) be the second derivative of -y**7/42 + 29*y**6/15 - 997*y**5/20 + 1132*y**4/3 - 3146*y**3/3 + 1352*y**2 + 3*y - 3. Find p, given that k(p) = 0.
1, 4, 26
Let d(c) be the first derivative of -c**3/3 + 10*c**2 + 156*c - 563. Find u, given that d(u) = 0.
-6, 26
Let y(i) be the second derivative of -3*i**4/38 + 6473*i**3/57 - 1438*i**2/19 - 748*i. Factor y(h).
-2*(h - 719)*(9*h - 2)/19
Let b(z) be the first derivative of z**4/8 - 4*z**3/3 + 7*z**2/4 - 1044. Solve b(w) = 0 for w.
0, 1, 7
Let a(l) = -l**3 + 12*l - 1. Let c(d) = 6*d**3 - 45*d**2 - 83*d + 52. Let z(p) = 28*a(p) + 4*c(p). Factor z(b).
-4*(b - 1)*(b + 1)*(b + 45)
Let y(r) be the second derivative of -4/5*r**5 - 9*r**2 + 12 - 2*r - 11/3*r**4 - 8*r**3 - 1/15*r**6. Factor y(v).
-2*(v + 1)**2*(v + 3)**2
Suppose 4*h - 191 = 29. Let i = h + -51. Find g, given that -i*g**2 + 345 - 4*g - 4*g**2 - 337 + 4*g**3 = 0.
-1, 1, 2
Let f(v) be the third derivative of -v**5/15 - 4*v**4 - 190*v**3/3 + 316*v**2 - 1. What is g in f(g) = 0?
-19, -5
Let m(y) be the first derivative of -2*y**3/3 + 41*y**2 + 84*y - 408. Let m(d) = 0. Calculate d.
-1, 42
Suppose -5*h + 93 = -h - k, 3*h - k - 71 = 0. Let d be (-2)/(-1)*((-605)/h)/(-11). Factor 0*i - 1/2*i**2 - 1/4*i**3 + 0 + 1/4*i**d + 1/2*i**4.
i**2*(i - 1)*(i + 1)*(i + 2)/4
Let y(p) = -p**3 + 8*p**2 + 9*p + 5. Let o be y(9). Suppose -o*h + 149 = -191. Suppose -5*l**4 - 55*l**3 - 125*l - 37*l**2 + h - 98*l**2 - 108 = 0. Calculate l.
-8, -1
Let u be (8/(-28))/((-9)/126). Let x = -6 - -20. Factor 622 - 6*n**4 - u*n**3 - 622 - 4*n + x*n**2.
-2*n*(n - 1)*(n + 2)*(3*n - 1)
Let p(f) = 20*f**3 + 18615*f**2 - 18625*f - 5. Let q(m) = 27*m**3 + 27924*m**2 - 27937*m - 7. Let k(c) = -7*p(c) + 5*q(c). Let k(r) = 0. Calculate r.
0, 1, 1862
Let o(u) be the first derivative of u**5/15 - 23*u**4/12 - 331*u**3/9 + 23*u**2/6 + 110*u + 632. Find n such that o(n) = 0.
-10, -1, 1, 33
Let p be (-63)/35 + 3 + (-332)/(-415). What is x in 10/7 + 2/7*x**3 - 2/7*x - 10/7*x**p = 0?
-1, 1, 5
Find r such that 2675*r + 9*r**3 - 59049 + 2428*r - 22*r**3 + 153*r**2 + 14*r**3 = 0.
-81, 9
Let r(t) be the third derivative of -2*t - 1/27*t**5 + 0 + 1/540*t**6 + 25/108*t**4 + 33*t**2 + 0*t**3. Solve r(l) = 0 for l.
0, 5
Let u(v) be the second derivative of -v**5/10 + 85*v**4/3 + 57*v**3 + 1917*v + 2. Factor u(n).
-2*n*(n - 171)*(n + 1)
Let p(u) be the first derivative of 0*u - 33/4*u**4 + 1/2*u**6 - 18*u**3 + 0*u**5 - 12*u**2 - 55. Factor p(l).
3*l*(l - 4)*(l + 1)**2*(l + 2)
Suppose 23*l - 21*l = k + 410, -l = 0. Let x = -2048/5 - k. Let x*n**2 + 4/5*n + 0 = 0. Calculate n.
-2, 0
Let u be (-3 - (4 + -3)) + 5*-31. Let f = u - -159. Solve f + 3*h**2 - 2*h**3 + 1/3*h**4 + 0*h = 0 for h.
0, 3
Let g be 3496/(-11) - (-