56) + -3)*(-222)/(-2).
308
Let o = -374621261851451/31200150309809832 + 10/31065697969. Let q = o - 4/4329. What is the common denominator of 17/2 and q?
232
Calculate the common denominator of ((-97821)/24488 - (15 - 19))/(132/(-176)) and 77/12.
36732
Let h = 8 - -4. Let o be (17 - 29)/(2*1). Calculate the least common multiple of h and 88/o*(-153)/34.
132
Let n = 695716/9489505 + -2/26731. Find the common denominator of -87/568 and n.
2840
Suppose 0 = -r + 4*r - 9. Let a be 78/(-195)*6070/(-4). Let h = a + -574. Calculate the lowest common multiple of h and r.
33
Calculate the common denominator of (5/4)/(74/(-80)) and 30/(-65) + 17*5778/31824.
296
Let d(i) = -7*i - 21. Let r be d(-4). Suppose -4*x + r = -x - j, 2 = 2*x + 2*j. What is the lowest common multiple of x and 3?
6
Let t = 5389/2 + -2290. Let p be -4 + 1/((-1177)/392 + 3). Let d = t + p. What is the common denominator of -41/47 and d?
94
Let i(f) = f**3 - 3*f**2 - 2*f - 5. Let t be i(4). Let c be -10 + (-1 - (1 - t)). Calculate the smallest common multiple of 124 and (c/(-4))/((-39)/(-104)).
372
Let o(c) = -c**3 - 16*c**2 + 74*c - 26. What is the least common multiple of 1250 and o(-22)?
1250
Let x = -103747/33 - -53396/11. Let p = x + -11953/7. Find the common denominator of p and (-20)/(-9) - (-9 + 17 - 6).
63
Let m = -3583 - -268717/75. Find the common denominator of 3 + ((-231)/(-2310))/(12/790) and m.
300
Let m(g) = 11*g**2 - 12*g - 24. Let y be m(-2). Suppose 30 = 4*p - 2. Calculate the lowest common multiple of p and y/(-55)*(2 - 17).
24
Suppose 2*f + f = 2727. Let y be (5 - 7 - -4)/f. Let r = -4553/3636 + y. Find the common denominator of r and -25/18.
36
Let r = -27958 + 950645/34. Find the common denominator of 212/(-144)*2034/(-452) and r.
136
Let a = 386 + -387. Find the common denominator of 71/8 and 489/(-270)*(2 - a).
120
Let m = 11292 - 4327. Calculate the least common multiple of m and 199.
6965
Let x(g) = 237*g - 513. Calculate the smallest common multiple of 231 and x(3).
1386
Let d(n) = 15*n - 82. Let p be d(6). Suppose -315 = -3*h + 3*l, h + 3*l - 85 = p*l. Calculate the smallest common multiple of 5 and h.
110
Let u(p) = p**3 - 13*p**2 - 9*p - 67. Calculate the lowest common multiple of 611 and u(14).
1833
Let w be 14/21 - (-2532)/(-18). Find the common denominator of (1071/w)/(24/(-10)) and -55/38.
304
Calculate the common denominator of 2/(80/118)*2 and 2*(2/8)/((-92)/(-112)).
230
Suppose -4*s = -13*s + 864. Calculate the smallest common multiple of ((-9)/(-4))/(-7 - (-29)/4) and s.
288
Let q(k) = -k**3 - 24*k**2 - 6*k + 84. Let s be q(-24). Suppose -580 + s = -8*y. What is the least common multiple of 28 and y?
308
Let c be ((-6)/(-7))/((-7)/3). Let l = c + 554/441. Let p = 7081/6 - 1172. What is the common denominator of l and p?
18
Let d be (-4)/10 - 25960/100. Let z = 320 + d. Calculate the least common multiple of z and 24.
120
Let t = -6413821/810 + 71266/9. Calculate the common denominator of -107/30 and t.
810
Let a = 1293 - 170767/132. Find the common denominator of 97/165 and a.
660
Suppose 4*t + 5*l - 732 = l, -4*l = -5*t + 906. Let y(k) = k**2 - 21*k - 156. Calculate the least common multiple of t and y(-6).
546
Let j = -85/16 + 179/16. Calculate the common denominator of (14/(-4))/((-23)/(-9)) and j.
184
Let j = 17348 - 11858. Calculate the least common multiple of j and 4.
10980
Suppose k + 5*c - 82 = 0, c + 4*c = 3*k - 206. Let j(q) = 24*q**2 - 5*q - 2. What is the lowest common multiple of k and j(-1)?
216
Let x(l) = 130*l**2 - 4030*l + 14. What is the least common multiple of x(31) and (-142)/(-6) + 1/3?
168
Suppose -2*g = -2*q + 234, -76*q = -75*q - 4*g - 108. Calculate the smallest common multiple of 1120 and q.
3360
What is the smallest common multiple of 144 + 541 - (-2 - -15) and 1288?
15456
Let s = -2345/3 - -786. Let a = 144757/57 - 2540. What is the common denominator of s and a?
57
Let g = 5117/2 + -2512. Let j = 899 + -593. Find the common denominator of 11/33 + -1*399/j and g.
34
Let a = 1246135 - 1794434279/1440. Find the common denominator of 1/108 and a.
4320
Suppose 10*k - 5*k = 115. Suppose 7*c + k + 5 = 0. What is the common denominator of 55/14 and (-413)/56*(0 - c)?
14
Let m = 843 - 864. Let d = 41 + m. Suppose z - 12 = o, -40 = -5*z - 5*o + 20. Calculate the smallest common multiple of d and z.
60
Let z be ((-3)/(-5) - 1) + 491841/1233540. Let p = z - -16747/11748. Find the common denominator of 34/45 and p.
495
Let b = -208463/12 + 17361. Let i be (-8024740)/(-3663660) - (-9)/6. Let c = i + 1/8723. Calculate the common denominator of c and b.
84
Let k(q) = 3*q**3 + 5*q**2 + 12*q + 5. Let v be k(-5). Let u = 114229/28180 + -5/1409. What is the common denominator of u and ((-52)/(-130))/(6/v)?
60
Let x = 2/97289 - 2043421/17122864. What is the common denominator of 77/68 and x?
2992
Let b(d) = -d - 2. Let z be b(-8). Let w(s) = -6*s + 5*s + z - 2*s + s. What is the least common multiple of 8 and w(-4)?
56
Suppose -k + 10 = 6. Suppose 3*n - 22 = -k*u, -2*u = -0*n - 2*n - 4. Calculate the common denominator of -53/2 and 139/8 - 3 - u.
8
Let k be 2/8 + 0 + 1452/400. Let r = -377/150 + k. Calculate the common denominator of 133/30 and r.
30
Let s = 50611/2 + -16069006/635. Find the common denominator of s and 61/254.
1270
Suppose 2*j + v + 5 - 22 = 0, -5*v = 15. Calculate the smallest common multiple of (-4 - (-315)/j)*(-12)/(-15) and 44.
44
Let z(c) = -182*c + 136. What is the least common multiple of z(-2) and 32?
4000
Let b = 1166/73 + -923107/57816. What is the common denominator of 92/45 and b?
3960
Let w = -81796774/1379 - -59316. Find the common denominator of w and 74/35.
6895
Let f(m) = -m**3 - 17*m**2 + 17. Let p be f(-17). Suppose 3*d - 52 = -4*w - d, -w + 5*d = p. What is the least common multiple of w and 8 + -7 + -2 + 54/2?
104
Let j be (-468014)/(-3)*(-9)/(-162). Let i = -8668 + j. What is the common denominator of i and -25/27?
27
Calculate the lowest common multiple of 15 and (-1835262)/(-891) - (29/(-9) + 3).
6180
Let s be ((-14)/21)/(2 + 0)*-2753. Let u = -4564/5 + s. Find the common denominator of u and 6/19.
285
Let k(i) = -i**3 - 17*i**2 + 17*i - 24. Suppose 4*t + 18 = 3*t. Let x be k(t). Calculate the least common multiple of (-1 + 5)/(x + 100/15) and 2.
6
Let y be 253400/(-312) - 12/78. Let f = 828 + y. Find the common denominator of f and -49/10.
30
Let r(l) = l**3 - l**2 - 11*l - 2. Let x be r(4). Suppose 38*m = 33*m + x*k + 266, 0 = 4*m + 3*k - 199. What is the lowest common multiple of 6 and m?
156
Let q = -734 - -692. Let a(w) = w**3 + 44*w**2 + 81*w - 45. Calculate the smallest common multiple of 99 and a(q).
891
What is the common denominator of (14 - 29) + 1497/120 and -9/14?
280
Let n(c) = -24*c + 473. Let h be n(18). Let f be (-43)/(-5) - (-4)/10. Suppose f*w - h = 31. What is the least common multiple of w and 14?
56
Find the common denominator of (3/(-28266))/((-97)/6499) and -53/4.
18844
Suppose -3*q = 5*g - 16, 2*g - 4*q = -q - 2. Let d = -15839 + 15887. Calculate the lowest common multiple of d and g.
48
Let w be (-4 + 64/20)/((-4)/10). Let a be (3/(-15) - 5/(-25))/(-1). Suppose -44 = -w*c - a*c. What is the smallest common multiple of c and 20?
220
Let r = 915/4 - 6543/28. Let k = 82495/12 - 6884. What is the common denominator of r and k?
84
Suppose 0 = u + 56 - 23. Let d = u + 37. Suppose m - 5*t = d*m - 23, -3*t = m - 9. What is the lowest common multiple of m and 1?
6
Suppose i - 2*i + 4 = 0. Let z(s) = -2084*s + 20884. What is the least common multiple of z(10) and i?
44
Let c(m) = -9*m - 4. Let b = 39 + -35. Suppose -2*u + 10 = -b. What is the lowest common multiple of u and c(-2)?
14
Let o(h) = h**3 + 11*h**2 - 3*h + 128. Suppose 0 - 2 = p, 3*p = -u + 74. What is the lowest common multiple of o(-12) and u?
80
Let q = -50 - -48. Let g be 284436/8 - (-1)/q. Let m = g + -1422043/40. Calculate the common denominator of 49/12 and m.
120
Calculate the common denominator of ((-639)/(-448152))/(5/((-4980)/(-99))) and 113/2630.
28930
Let c(d) = d**3 + 22*d**2 + 55*d + 2474. Suppose -3*i - 4*m = -8, m - 9 = 2*i - i. What is the lowest common multiple of 1/(-4) - 21/i and c(-24)?
10
Suppose 0 = j - 0*d - 5*d + 2396, -4*j + 3*d - 9669 = 0. Find the common denominator of 2/8 + 247/132 and