q + u = 2*y, 27 + 18 = 3*y - 3*q. What is the lowest common multiple of 5 and y?
60
Let m = -76386236/711 - -107435. Find the common denominator of m and -121/18.
1422
What is the common denominator of 417/695 - (-181)/(-60) and ((-25)/(-7))/(108/14)?
108
Let g = 12898 + -902883/70. Let y = 531477059/4231 + -125615. Let n = 164889/84620 - y. Find the common denominator of g and n.
140
Let m be ((-12)/(-2))/(-5 + (-119)/(-21)). Calculate the least common multiple of m/2*(24/9)/4 and 57.
57
Let a = 16 - 8. Let m = -75 - -97. Let n = -10 + m. Calculate the lowest common multiple of a and n.
24
Suppose 9*g = -4*g + 2431. Suppose 0 = -g*z + 188*z - 40. Calculate the lowest common multiple of z and 12/(-15)*25/(-1).
40
Let o(n) = 681*n + 7132. Calculate the least common multiple of 4 and o(-10).
644
Let z = -67/14 - -17/14. Let k be 10*(-2 - (1 - 52/20)). Find the common denominator of -39*3/60*(2 + k) and z.
70
Let o = -263311/10 + 26327. Find the common denominator of o and 31/6160.
6160
Let y be (0 - -2 - -3294)/((-16)/56). Let t = y + 576823/50. Calculate the common denominator of t and -25/6.
150
Let w = 139/17 + -3419/204. Let r be 430/7*(-28)/(-36). Let p = r + -2018/45. Find the common denominator of w and p.
60
Let h(i) = i**2 + 3*i - 10. Let r be h(4). Find the common denominator of r/(-99) + (-1893)/(-792) and -59/136.
408
Let p be 1 + (-6)/(-9)*3. Let i = -205 + 208. Suppose -4*f + 22 = -i*m - 10, 0 = 2*f + p*m - 16. Calculate the smallest common multiple of 5 and f.
40
Let v = 11113 + -10843. What is the lowest common multiple of v and 240?
2160
Calculate the common denominator of (76/(-10))/((-72)/21) and (1/(-20))/(1/((-1184)/(-64) - 7)).
120
Find the common denominator of 22/132 + (-3 - (-6320)/2214) and 23/90.
11070
Let c(i) = i**3 + 10*i**2 + 12*i + 7. Let s be c(-9). Let j be (-9)/(-166)*s/(-15). Let a = j + 5371/332. What is the common denominator of 7 and a?
4
Let u = 101/2 + -51. Let r = 0 + u. What is the common denominator of r and (-10)/(-4)*(-268)/20?
2
Let g = -795555 + 865563757/1088. Find the common denominator of 25/272 and g.
1088
Let f(i) = 398*i - 1. Let v be f(1). Let w = -154993/140340 + -86/7017. What is the common denominator of (-2)/(-7) - v/(-56) and w?
120
Suppose -5*r - 4*c + 23 = -19, -4*r - 2*c = -30. Let w = 29 - -285. Suppose -310*j + w*j = 104. What is the least common multiple of r and j?
78
Let b(a) = -3*a + 33. Let t be (-186)/18 + 4/(-6). Let o be b(t). Suppose -q + 3*w + 73 = 0, -w + o = q - 19. What is the least common multiple of q and 8?
328
Let d(w) = -w + 4. Let f be d(4). Suppose -2*l = -f*l - 4*y + 348, -4*l - 5*y = 735. Calculate the least common multiple of 5 and 1/(-2) - l/24.
35
Let u(o) = -3*o - 38. Let x be u(-14). Let a(v) = -v**3 + 6*v**2 - 4*v + 9. Let m be a(x). Find the common denominator of ((-10)/m)/((-48)/(-129)) and -95/22.
440
Let a = 1433833/9 - 24177505/144. Let s = -8588 - a. Calculate the common denominator of s and 1/(-6)*(-1110)/(-40).
16
Let y = -46 - -222. Let u be (1 - -109)/(8/y). Calculate the common denominator of 63/8 and 12/8 + (u/(-384))/11.
96
Let m = -14681/12 + 1226. Let o = -7334867/66 - -111132. Calculate the common denominator of o and m.
132
Suppose 133 + 255 = 4*b - 108. Calculate the smallest common multiple of b and 372.
372
Suppose 0 = -614*t + 574*t + 800. What is the lowest common multiple of t and 9132?
45660
Suppose d = -g + 29, -2*g - g + 62 = -2*d. Find the common denominator of (1 + (-20)/g)/((-12)/558) and -8/3.
12
Let k be 0*(3/(-8))/(18/(-24)). Let q = 70 - k. What is the least common multiple of 63 and q?
630
Suppose 6*i - 3*i = 9. Suppose s + 79 = -0*k - 4*k, -5*s = -i*k - 65. Find the common denominator of 51/14 and 12/k - (-633)/(-270).
126
What is the common denominator of -83/594 and ((-396)/80190)/(8/(-830))?
1782
Let k = -216 + 150. Find the common denominator of ((-1)/k)/(1/9) and 33/178.
1958
Suppose 1192*g = 1202*g - 17789 + 2139. Calculate the smallest common multiple of 1878 and g.
9390
What is the common denominator of 154/(-2 - 9)*((-1767)/(-432) - 4) and 55/16 - 0 - 1?
144
Let a = -189152545/654 + 289224. Calculate the common denominator of a and -32/135.
29430
Suppose -174812 + 88071 = -172*c + 273427. Calculate the least common multiple of 24 and c.
8376
Let q(t) = -t**2 - 13*t - 13. Let z = 6 - 4. Calculate the least common multiple of z/((15/9)/5) and q(-2).
18
Let w(d) = d**3 + 14*d**2 + 30*d + 99. Calculate the lowest common multiple of ((-23)/12*-3)/((-18)/(-216)) and w(-12).
621
What is the lowest common multiple of 633 - 0 - (-132 + 117) and 1134?
4536
Let i(n) = -n**3 - 12*n**2 - 12*n + 4. Let c be (4 + -3)*(-1 + 1). Suppose c = 9*f + 35 + 64. What is the lowest common multiple of i(f) and 8?
120
Let h = -117 - -102. Let j = -7755/14 - -547. Find the common denominator of h/20 + 753/132 and j.
154
Calculate the common denominator of 55/711 and (-192 - -193) + (-1 - (177/36)/1).
2844
Suppose 160*s - 163*s = -14898. Let i = s - 173834/35. Calculate the common denominator of i and -31/7.
35
Suppose 13*k = 12*k + 10. Let j(o) = -9 + 3*o**2 - 4*o**2 - 1 - 2 + 15*o. What is the least common multiple of j(k) and 2?
38
Calculate the smallest common multiple of 1528 and (432/(-90))/((-12)/3820).
1528
Let t = -7 - -9. Let d(q) = q**2 + 6*q + 20. Let u = -340 + 340. Calculate the smallest common multiple of t and d(u).
20
Let p = 26 + -27. Calculate the common denominator of 53/8 and 6/24*-104*p/9.
72
Let i(z) = -z**2 + 254*z - 1242. Calculate the lowest common multiple of 675 and i(5).
675
Let a = 2714 - 2709. Calculate the smallest common multiple of 584 and a.
2920
Let v be (-1)/4 - 533/(-52). Let f be 270/(-9)*(-4)/v. Calculate the lowest common multiple of 4 and (1 - (2 + 1)) + f.
20
Suppose 1015 = 8*j - 15*j. Let x = 147 + j. Suppose x*z - 4*z = -12. Calculate the lowest common multiple of 45 and z.
90
Calculate the common denominator of 9/3200 and 77/(-20)*(-429)/(-114660)*-12.
22400
Let p = 7 + 23. Let a = 109 - 105. Suppose -36 = -o - 2*o + u, 0 = -a*u. Calculate the smallest common multiple of p and o.
60
Calculate the common denominator of -41/720 and (-3 + -4 - -1) + 14862/2430.
6480
Suppose 7056 = i - 17*i. Let w = i + 464. What is the least common multiple of 9 and w?
207
Let g = -18/65 - 1/1170. Suppose 1 + 0 = m. Calculate the common denominator of ((-2)/24)/(m*4/(-584)) and g.
18
Let n = 31285/7 - 155842/35. Let u = 839/56 - n. Find the common denominator of u and -69/20.
40
Let q = -542 - -1274. Let c = q + -6562/9. Let g = -1/4979 - -243998/134433. Calculate the common denominator of g and c.
27
Let t = 21685/740544 - -1/3648. Calculate the common denominator of 50/49 and t.
1421
Let y = 1546771/110 + -14061. What is the common denominator of (10/105 - 28/(-462))/(20/98) and y?
110
Let q = -4/2887 + -57584/112593. What is the common denominator of -35/78 and q?
78
Let m = -85073/28 - -3035. What is the common denominator of m and -111/250?
3500
What is the least common multiple of 2448 and ((-10)/4*-11 + -2)*2?
2448
Let n = 8755 + -43769/5. What is the common denominator of -54/3545 and n?
3545
Suppose 2*v - 28 = -3*n, -4*n - 56 = -3*v - v. Let r(k) = k**2 + 41*k + 43*k + 41*k - 129*k - 3. What is the least common multiple of r(-3) and v?
126
Let j = -3335 + 2093. Let c = -54645/44 - j. Find the common denominator of c and 17/24.
264
Suppose 260*n + 154 = 282*n. Calculate the least common multiple of 93 and n.
651
Let y = -16062 - -16197. Calculate the smallest common multiple of 1500 and y.
13500
Let s(x) = 35*x**3 + 2*x**2 + 17*x - 48. Calculate the least common multiple of s(5) and 18.
40158
Let i(z) = -10 - 4 + 2 + 6 - z. Let f be i(8). What is the common denominator of 24/f*(-32)/(-24) and 18/5?
35
Calculate the common denominator of 49/57 and (4/(-95))/((-14)/(-70)).
57
Suppose 2004*q - 1991*q - 1482 = 0. Calculate the lowest common multiple of 1710 and q.
1710
Let a(q) = 8 - 30 - 667*q + 674*q. Let p be a(6). Find the common denominator of (30/p)/((-54)/(-38)) and 1/22.
198
Calculate the least common multiple of 1225 and (-4315)/(-8) - 15/40.
13475
Let c be (-1)/((49/70)/(-7)). Suppose c*u - 144 = 16. Calculate the least common multiple of (-2)/((-1)/5 + 0) and u.
80
Calculate the common denomina