3. Let k be h(-5). What is the smallest common multiple of 50*(16/(-5))/k and 10?
80
Find the common denominator of (-2497)/908*(-10)/(-68)*2 and 61/64.
1088
Suppose -17*q = -43*q + 41808. Let a = q - 35385/22. Find the common denominator of -19/46 and a.
506
Suppose r + 11 = 26. Let h be (-35)/14*24/r. Calculate the common denominator of -51/43 and (2/h)/(44/52 - 1).
172
Let o be (-188)/41*-3*(-4)/16. Let b = 3219/328 + o. What is the common denominator of 0 + ((-522)/8)/(-3) and b?
8
Let m = -12 + 10. Suppose -3*x = -v + 77 + 38, 3*x + 218 = 2*v. What is the common denominator of -19/4 and ((-12)/60)/(m/1)*v?
20
Let g = 3/3454 - 44118/91531. Find the common denominator of 37/164 and g.
8692
Let h = 19566/55 + -29194727/82060. Find the common denominator of h and 3/28.
10444
Suppose -30 = -o + 10*i, -i - 129 = -2*o - 4*i. Suppose p + 132 = 3*p. What is the least common multiple of o and p?
660
Let r = -16541 - -3058. Let w = r + 134723/10. Find the common denominator of w and 31/32.
160
What is the common denominator of 149/252 and ((-45)/80)/((-5439)/(-148)*2/(-38))?
1764
Let q = -84653/28 + 3020. Suppose 31*j + 24 = 35*j. Calculate the common denominator of q and (-4 + 565/40)/(j/(-4)).
28
Suppose 0 = -4*p + 7*p - 6. Suppose 0 = 20*j + 413 - 493. Calculate the smallest common multiple of j and p.
4
Find the common denominator of ((-8)/(-14))/((-9)/8694*-12) and -93/5194.
5194
Let g(b) = -8*b - 5*b**2 - 18 + b + 8*b - b**3. Suppose 2*y - 4 = -16. What is the lowest common multiple of 20 and g(y)?
60
Let q(d) = d**3 + 14*d + 121. Let j be q(0). Suppose -j = -b - 111. Calculate the least common multiple of 174 and b.
870
Let d = -68078/164725 - 1/19767. Find the common denominator of 106/525 and d.
525
Suppose 0 = -11*n + 2*n - 261. Let g = n + 53. Let m(c) = 11*c + 3. What is the smallest common multiple of g and m(1)?
168
What is the lowest common multiple of 8 and 1644/54 + (-6)/(-27) + 164/123?
32
Let p = -612 + 1170. Let f = p - 67486/121. What is the common denominator of 69/110 and f?
1210
Let d = 303/10 + -122/5. Let s(k) = 2*k**2 + 11*k - 8. Let y be s(-6). What is the common denominator of d and ((-667)/(-276))/((-13)/(-10) + y)?
210
Let a = 1082181577/4068 + -266023. What is the common denominator of a and -47/452?
4068
Let x = 301/45 - 80/9. Suppose -15 = -7*q + 20. Suppose -3*y = -q*y - 6. What is the common denominator of y and x?
5
Suppose -102*l + 101*l - 12 = -3*t, -8 = 4*l - 8*t. Let a = -38 - -66. Suppose -8 = -3*v + a. Calculate the smallest common multiple of v and l.
36
Let i = -33/1289 - -50601/12890. Calculate the common denominator of i and -23/856.
4280
Let q(n) = -3*n**2 - 2*n + 4. Let b be q(5). Let t = 91 + b. What is the smallest common multiple of (-1 - -4)*20/6 and t?
10
Suppose 17*o - 90 = 12*o. Suppose 11*g - o*g = -42. Calculate the lowest common multiple of g and 101.
606
Let a = 976455871687/8 - 296589682929303497/2429928. Let z = 2/33749 + a. Let s = -222710/21 - -10608. Find the common denominator of s and z.
252
Let u = -2412 + 2660. Calculate the least common multiple of u and 341.
2728
Suppose 3*r = -4*q + 1, -3*q + 6*q - r - 17 = 0. Suppose -89*o = -91*o - 24. Calculate the lowest common multiple of q and ((-1)/((-21)/o))/(8/(-28)).
4
Suppose -2*n = 2*b - 16, -b + 0 - 4 = 5*n. Let i = b - 6. Let r(u) = -u**2 + 4*u + 11. What is the smallest common multiple of 40 and r(i)?
120
Let z(j) = -4*j + 26. Let t be z(5). Suppose -2*r = -54 + t. Calculate the least common multiple of r and 6.
24
Suppose 3*t - 2*w + 446 = -4*w, -5*w = -4*t - 610. Let i = t - -154. What is the least common multiple of 19 and i?
76
Suppose 13 - 28 = -3*k. Suppose -11*q + 17 = -k. Calculate the common denominator of -17/130 and q - 598/(-220) - (-6)/33.
130
Suppose 139*q - 43680 = 59*q. What is the least common multiple of q and 80?
21840
Let m = -3495 + 3507. What is the least common multiple of m and 2758?
16548
Let w(d) be the second derivative of -d**5/20 + 17*d**4/12 - 14*d**3/3 + 13*d**2 + 3*d + 16. What is the smallest common multiple of 16 and w(11)?
1776
Let b be 14 - 2 - (1 - 1/(-1)). Suppose 0 = -b*v + 271 - 21. Let r = v + -18. Calculate the smallest common multiple of r and 6.
42
Let a = -1836 - -2109. What is the least common multiple of a and 12?
1092
Let w = 50 + -113. Calculate the common denominator of 21/w + (-6)/(-4) and 1/7 - (-314)/(-42).
6
Let k(m) = 5*m**3 + 72*m**2 - 48*m - 13. Let a = -35 + 61. Calculate the smallest common multiple of k(-15) and a.
416
Calculate the smallest common multiple of 1860 and -20*16/(-1) - (-7 - -17).
1860
Suppose 0 = 10*u - u + 126. Let i = u + 34. Calculate the common denominator of -47/12 and i/150 + (-2)/((-1380)/(-1667)).
276
Suppose -6*y = 5*y - 132. Let d be (374/16)/(y/2056). Let c = 4014 - d. Calculate the common denominator of c and 101/12.
12
Find the common denominator of 346/(-48) + 17/51 and -18 + 23 + -8 + 101/60.
120
Let f = -603205643/3072 - -196356. Calculate the common denominator of f and -157/3840.
15360
Let w = 64 - -80. Suppose 1261*y - 1263*y = -w. What is the smallest common multiple of y and 56?
504
Suppose 2*p = d + 145, -p - 65*d + 64*d = -80. Calculate the smallest common multiple of 835 and p.
12525
Let j = 58 + -43. Let d be 18/j*2*5 + -3. Suppose 4*r - d = 35. Calculate the smallest common multiple of r and 10.
110
Suppose l - 5 + 29 = 0. Let x be 4*(44/77 + (-158)/56). What is the common denominator of (3/(l/(-67)))/((-18)/x) and -17/16?
16
Let g be 9/((-125)/(-120) + -1). Suppose -504 = -225*a + g*a. What is the smallest common multiple of a and 77?
616
Let v(x) be the second derivative of -x**3/6 + 17*x**2 + 23*x. Let a be v(10). What is the common denominator of 37/9 and -1 + 18/24 - (-302)/a?
9
Suppose 19*s = 40*s - 1764. Calculate the smallest common multiple of s and 6.
84
Suppose 2*i = 4*q + 2432, 0 = -5*q + i + 3*i - 3034. What is the common denominator of -145/258 and (-3)/15 + q/1200?
1032
Let p(y) = y**3 + 6*y**2 - 4*y - 6. Let w(t) = t**3 - 20*t**2 - 46*t + 58. Calculate the smallest common multiple of w(22) and p(6).
2814
Calculate the common denominator of 121/3864 and -22 - ((-64304)/1568 + 19).
27048
Suppose 5*j + 7 = 22. Suppose -3*n - j*x + 108 = -n, 3*x = -6. Find the common denominator of -93/40 and n/(-80)*(1 - (-10)/(-6)).
40
Suppose -5*h + 685 = 4*b, 3*h - 4*b = -h + 512. Let r = -108 + h. Calculate the smallest common multiple of 8 and r.
200
Suppose 10*m - 6*m = 20. Suppose -m*h - b = -705, 2*h = -h - 3*b + 411. What is the lowest common multiple of 2 and 1/4 + h*(-1)/(-8)?
18
Let v(q) = -234*q + 340. What is the least common multiple of 1020 and v(0)?
1020
What is the common denominator of 1/2 and 2/(-648)*((-408)/(-36) - 16)?
486
Let s = -908808 + 419869465/462. Find the common denominator of s and -121/42.
462
Let m(k) = 5*k**3 + 6 - 7*k**3 + k**2 + k**3 + 7*k - 4*k**2. Let w be m(-5). Calculate the common denominator of -40/3 and (1/w*-1)/((-1)/(-31)).
21
Find the common denominator of 87/944 and 12/504*8253/(-54).
8496
Let c = 1222 - 3635/3. Let z be (1/(-7))/((-39)/(-2743)). Let w = c + z. Calculate the common denominator of w and -57/8.
56
Let l = 33221 + -33131. Suppose -3*p + 260 = -p. What is the smallest common multiple of l and p?
1170
Let o(y) = y**2 + 2*y + 1. Suppose -5*a - 2 + 7 = 0, 2*a - 6 = -2*b. Let u be o(b). Suppose u = -4*k + 17. Calculate the lowest common multiple of k and 44.
44
Let j be ((-45)/12)/(3/(-4)). Suppose -z - c + 5*c - 4 = 0, 10 = j*z - 5*c. Calculate the smallest common multiple of z and 9.
36
What is the common denominator of 63/4 and 5626/(-10992) + ((-28)/(-8))/(-70 + 77)?
5496
Suppose -5*c = -5*m - 11240, -8960 = m + 3*m + 4*c. Let o = m + 13499/6. Let q = -3426821/130 - -342660/13. Find the common denominator of o and q.
30
Find the common denominator of (11/(-2))/((-735)/(-165) + -4) and (-1 - 11/(-6)) + 1.
30
Let q = 4877/1420 - 77/71. Calculate the common denominator of q and 23316/1560 - -18*(-133)/171.
260
Suppose -1 = -4*h + 5*h. Let l = 97 + h. Calculate the lowest common multiple of l and 11.
1056
Find the common denominator of (3/(-21))/(368/230) and -61/272.
1904
Let d = 1842 - 46001/25. What is the common denominator of d and 282/100 + (-29)/(58/6)?
50
Let z = 26