 24*u + 48. Let a be q(-22). Suppose -92 = -4*s + a*c, 27*s - 26*s - 8 = -2*c. Calculate the lowest common multiple of s and 118.
1062
Suppose 42 = 2*g + 2*o, 0*g - 11 = -g + 4*o. Let h(a) = 4*a - 58. Let y = 95 - 65. What is the smallest common multiple of y and h(g)?
90
Let d = -692 + 696. What is the least common multiple of (-15 - 0)/(d/(-28)) and 35?
105
Let v(r) = -3958*r**2 + 6*r - 4. Let q be v(4). Let u = -64173683723/50 - -1283536980. Let w = q + u. Find the common denominator of -7/20 and w.
100
Let p be (15/2060)/(18/84). Let r = p + 9577/3090. Let f = -2252354/427665 + -1/28511. Calculate the common denominator of f and r.
15
What is the common denominator of (-133)/(-15)*(-10)/(-4) and 497/20*((-21)/441)/(3/(-6))?
30
Let m(q) = -2*q**3 - 8*q**2 + 15*q - 30. Let v be m(-8). Let s = v + -354. What is the lowest common multiple of s and 16?
16
Let u = 0 + 0. Suppose -4*k - v + 32 = u, 2*v + 8 = k - v. Let p(j) = j**2 - 83*j + 1725. What is the smallest common multiple of k and p(39)?
72
Let r = -8708 - -8720. Calculate the smallest common multiple of r and 2874.
5748
Let p be 8/48 + 358/12. Let b = 7 - p. Let q = -11 - b. What is the least common multiple of q and 3?
12
Let b be 30/10*(32/(-6))/(-2). Let k(g) = 2*g + 65. Calculate the lowest common multiple of 99 and k(b).
891
Let f be -1*10*5668/8. Let m be (-10 - -12) + 538796/(-76). Let p = f - m. Calculate the common denominator of -73/8 and p.
152
Let z be (-3*1/(-3))/((-2)/(-34)). Suppose -10 + 350 = z*a. What is the least common multiple of 12 and a?
60
Suppose 12331 = 3*y - 181*n + 186*n, n + 8199 = 2*y. Calculate the lowest common multiple of 4688 and y.
32816
Let c = 277 - 292. Calculate the common denominator of (12 + c)*249/(-108) and 40/3*2/14.
84
Suppose -a + 3*h = 22, 4*a + 8 = -4*h - 0*h. Let d(v) = -v**2 - 9*v. Calculate the lowest common multiple of d(a) and -8 - (0 - 82) - 0.
518
Let y = 24 + -16. Suppose -104*h - 4166 - 10770 = -116024. Calculate the lowest common multiple of y and h.
1944
Suppose 38*i - 28*i - 1620 = 0. What is the lowest common multiple of 3 - (0 - 2/(12/i)) and 60?
60
Let d be (-12)/(-1)*(8 + -1 - 8). Let k(u) = -18 - 3*u + 5*u - 4*u. What is the least common multiple of k(d) and 24?
24
Suppose -21*c = -77*c + 175000. Calculate the smallest common multiple of c and 1.
3125
Suppose -2*c + 142 = c + 133. What is the least common multiple of 30 and c?
30
Let t(k) = -23*k + 9. Let o be t(-3). Let f be (o + 1 + -2 - -4) + -4. Find the common denominator of 4/22 - ((-6370)/f)/7 and 13/12.
12
Let v = 635/6 + -104. Let z(m) = -m**3 + 10*m**2 - 11*m + 11. Let s be z(9). Find the common denominator of 39/s*6/(-9) and v.
42
Let o = 9020/167 + -1485650/1503. Suppose -1990*j = -1992*j + 1854. Let a = j + o. Calculate the common denominator of 97/10 and a.
90
Let g = 24977876257/17108460 - -3/475235. Let o = 1461 - g. Calculate the common denominator of -7/44 and o.
396
Let u(z) = z**3 + 16*z**2 - 5*z - 33. Let y be u(-16). Find the common denominator of 7/860 and (-852)/(-16)*(y/15 - 3).
860
Let p = 1 - 0. Suppose -438*i + 2567 = -3127. What is the smallest common multiple of p and i?
13
Let u(b) = 2*b**2 - 38*b - 62. Let r be u(21). Suppose 4*d + r*d = 2600. What is the lowest common multiple of d and 10?
100
What is the least common multiple of 6 and (-20220)/(-45) + 16 + 4/(-3)?
1392
What is the common denominator of -23/27 and -15 + (-171)/(-10) + -2 + 18926/(-190860)?
85887
Suppose 0 = -4*s + 4*y + 20, s - 6 = 5*y + 3. Suppose -s*a = -35 + 27. Calculate the smallest common multiple of (-9 + 1 + 3)/(-1) and a.
10
Let z = 1824 - 1284. Let v = z - 485. What is the lowest common multiple of 50 and v?
550
Suppose 0 = -3*u + 63 + 18. Let g = u - 6. Suppose 0 = 12*x - 46 + 10. What is the lowest common multiple of x and g?
21
Let d be (-114)/(-304)*(-65690)/36. Let i = d + 684. Find the common denominator of -51/22 and i.
528
Let t = 31310786302973/16680 + -1877145461. Let r = 12/695 - t. Calculate the common denominator of r and 91/20.
120
Let s = -4342 - -4372. What is the least common multiple of 198 and s?
990
Let p = 952950167/4001 + -238178. Find the common denominator of p and -48/7.
28007
Let z be (-8)/(4 + 0) - 0. Suppose -6*a = 570 - 2850. Find the common denominator of -45/4 and z/(a/265)*1.
76
Suppose -4*b + 4*p + 136 = 0, 2*b - 126 = -b - 5*p. Suppose 4*k = 51 + b. What is the lowest common multiple of k and 84?
924
Let d(s) = -2*s**3 + 13*s**2. Suppose 3*a - 25 = 5*p - 382, -2*p + 142 = -2*a. Calculate the lowest common multiple of p and d(6).
72
Let x = 5605 + -44903/8. Suppose 0 = 4*v + 2702 + 34. Let d = 3459/5 + v. What is the common denominator of d and x?
40
Suppose 4*f - 96 = 20*f. Calculate the least common multiple of (-215)/(-6) + 10/60 and (-1)/(f/(-28))*126/(-147).
36
Let p = 5795735/234 - 24768. What is the common denominator of 14/195 and p?
1170
What is the common denominator of (-4 - -18) + (-20553)/1632 and 11/1052?
8416
Suppose 394 = 13*b + 221 - 295. What is the smallest common multiple of 2392 and b?
21528
Let t = -34426/9 - -1377053/360. What is the common denominator of -101/60 and t?
360
Let y = -5503 - -5773. What is the smallest common multiple of 45 and y?
270
Suppose 0 = -9*c - 32 + 68. Suppose -o + 2 = 3. What is the smallest common multiple of c and 2*-1 + o + 8?
20
Let z = -15605 + 842635/54. Calculate the common denominator of z and -109/318.
2862
What is the common denominator of -1*207/336*26/234 and -19/24?
336
Let r = -105 + 116. Suppose 5 = -r*p + 71. What is the lowest common multiple of p and 5?
30
Suppose -1050 - 1425 = 15*h. Let b = 13 - 7. Calculate the common denominator of (0 - b)/(h/(-40)) and 57/10.
110
Calculate the least common multiple of -11 - (13 + (-843 - -1)) and 6.
2454
Suppose o + t = 4*t - 459, 2*o - t = -903. What is the common denominator of -109/10 and (-565)/o + 5/(-2)?
90
Suppose -8*d = -4*d - 8. Suppose -5*n = -10*n + j + 177, -3*n - 2*j + 114 = 0. What is the least common multiple of d and (6*6/27)/(4/n)?
12
Let c be (-16)/(-25924)*((-4)/(-8) + -1). Let i = -473129/51848 - c. What is the common denominator of -30*(2/(-8) - 0) and i?
8
Let p(s) = -8*s + 8. Suppose 0 = j - 57 + 40. Suppose 22*w - j*w - 52 = -4*z, 4*w = -2*z + 44. What is the smallest common multiple of w and p(-6)?
168
Calculate the common denominator of (-1139)/(-85) + 10/(-25) and 82/15.
15
Let d = 23108 + -40831837/1767. Calculate the common denominator of d and 13/62.
3534
Let q(j) = 2*j**3 - 40*j**2 + 94*j - 30. What is the least common multiple of q(19) and 188?
2068
Suppose -c - 2*t = -3, 0 = 2*t - 8 - 2. Find the common denominator of 31/4 and (-1912)/656 + (-4 - c).
164
Let a(j) = 6*j**2 - 7*j + 7. Let d be a(1). Suppose -d*y + 62 = 14. What is the smallest common multiple of y and 12?
24
Suppose 1 = 325*k - 326*k. Let a = 391/12 - 32. Find the common denominator of (-18)/117 + (k - 595/780) and a.
12
Let x be 2692/18*30/(-520). Let h = -6/13 - x. What is the common denominator of h and (492/(-189))/(2/3)?
42
Let k be ((-116)/203)/((-4)/(-98)). What is the common denominator of 4 - k*78/(-144) and 71/234?
468
Let w be -2*1/((-2)/(-38406)). Let a = 4992809/130 + w. What is the common denominator of 43/100 and a?
1300
Let b = -1164179/75 - -15522. What is the common denominator of b and -133/150?
150
Let b = 1118 - 1766. Let f(o) = o**2 + 96*o + 2288. Let k be f(-44). Calculate the common denominator of 49/11 and 4509/b + ((-4)/(-2) - k).
264
Let c = 5929 - 41551/7. Calculate the common denominator of c and -38/147.
147
What is the least common multiple of 4 and (-146*2/12)/((-23)/138)?
292
Suppose 2*s = 4*k - 188, -17*s + 20*s - 54 = -k. Calculate the common denominator of -47/40 and 3 - (9652/k)/19.
120
Calculate the common denominator of 61/7832 and (-640)/56 - (-7 + -9 - -7).
54824
Let s(k) = -24*k - 57. Let b be s(-5). Calculate the common denominator of 106/32 + b/(-42) and -137/30.
240
Let u be (1374/(-28))/(378/(-82488)). Let f = u + -10706. What is the common denominator of 4/(-10) - 1876/(-240) and f?
84
What is the common denominator of 7/421 and (-161)/(-28)*4/(-10)?
4210
Suppose 22*o + j - 29 = 19*o, 37 = -o - 7*j. Calculate the least common multiple of o and 738.
1476
What is the lowest common