4
Let l = -264 - -330. Suppose -461*w = -460*w - l. Calculate the least common multiple of 192 and w.
2112
Calculate the common denominator of (9/(-480))/(3/106) and -5 - (7/(-4) + 14).
80
Suppose -15*w - 38 = 142. Let b = -2/429 - -12884/3003. What is the common denominator of b and 1606/264 + (-3)/w?
21
Suppose -12*o = 5 - 53. Suppose -180 = o*s - 2*a, -6*s - 4*a - 80 = -4*s. What is the common denominator of 10/9 and s?
9
Let n = 16615/16 - 448049/432. Find the common denominator of n and 121/6.
108
Let q be ((-35806)/(-6))/(9/(-5)). Let f = q + 3315. What is the common denominator of 53/9 and f?
27
Let w = -134 + 140. Let s be 4/(-14)*14/(-12)*w. Suppose -s*o + 2*q = -30, -3*o - 5 = -4*o - q. Calculate the least common multiple of 46 and o.
230
Let n = -2015 + 517853/257. Let o = n - -2323/1285. Find the common denominator of o and 13/28.
140
Let r = 308 - 11. Find the common denominator of 34/9 and ((-68)/30)/((-108)/r).
90
Let o = 91933/882793533 - -3/66023. Let p = -141137/8914 - o. Let m = -62867/234 - -3450/13. Calculate the common denominator of p and m.
18
Suppose -v - 10 = 5*g, v - 6*g + 3*g - 14 = 0. Suppose 3*t = v*l + 16, 6 = -4*l - 2. Calculate the least common multiple of t and 26.
26
Suppose 2*q - 34 = 2*s, 2*q - 35 = 5*s - 22. What is the lowest common multiple of 4341 and q?
34728
Suppose 6*l - 2*l + 4*x = 160, 2*x = 3*l - 110. Suppose -3*o = 5*j + 517 - 527, o = -j + 2. What is the smallest common multiple of j and l?
38
Calculate the common denominator of 47307/109200 + 11/(55/(-2)) and 12/5.
2800
Let v = 15063 + -8540719/567. Let h = -3376/7371 - v. Find the common denominator of 91/4 and h.
52
Suppose 2*j + 12 - 30 = 0. Calculate the common denominator of ((-698)/(-168) + (-8)/(-84))/(-1*2) and j.
8
Let s = 116 + -273/2. Calculate the common denominator of 475/30 + 2/1 and s.
6
Suppose 81*k + 3*x = 77*k + 2306, -2*k + 5*x + 1114 = 0. What is the smallest common multiple of k and 1430?
2860
Let k(y) = -2*y**3 + 15*y**2 + 12*y - 18. Calculate the lowest common multiple of 317 and k(8).
4438
Let x = 11149 + -10869. What is the smallest common multiple of x and 175?
1400
Find the common denominator of 206/(-2196)*(-15 - ((-2996)/98 + 16)) and 121/60.
25620
Suppose 2999 = b + 13023. Let h = b - -240641/24. Let y = 15/638 - 30121/5742. What is the common denominator of y and h?
72
Let g be 0 - 13 - (27 - 28). What is the lowest common multiple of 20 and (-112)/g*(66/4 + 0)?
1540
Suppose 20*p + 78 = 23*p - 3*n, 4*p = -2*n + 92. Calculate the least common multiple of p and 50.
600
Let q = 467464/93 + -15079/3. Find the common denominator of -5/14 and q.
434
Find the common denominator of 17/25 and 692/(-420) + 76/57.
175
Let q = 77/71 + -9973/7952. Calculate the common denominator of -65/8 and q.
112
Let q = -610 + 2699. Let c = -20929/10 + q. Find the common denominator of c and 37/10.
10
Suppose 177 + 22908 = 513*j. Suppose 7*l - 2*l = 850. Calculate the smallest common multiple of l and j.
1530
Let i = 659056/77 - 8559. What is the common denominator of i and -6/245?
2695
Find the common denominator of 1/1668 and (7 - 46/6) + (0 - 1295/168).
3336
Calculate the common denominator of 26/17 and (-1020)/7525 + 52/(-910).
5117
Let s = -35/34 + -57/85. Calculate the common denominator of (45087/2520 - 22) + 1/(-8)*-3 and s.
30
Let s be (2541/42)/(5887/(-381)). Let a = -11/841 + s. Find the common denominator of 43/4 and a.
28
Calculate the common denominator of 1/3 + 116/96 and (-551)/(-1026) - (-231)/(-297).
216
What is the common denominator of 19/(1596/48) + 534/(-175) and (-1394)/(-102)*(-6)/(-320)?
800
Let b = 812/6669 + 11/1026. Calculate the common denominator of 101/390 and b.
1170
Let v = -202 - -216. Calculate the common denominator of 29/40 and (-1365)/(-264) - (v + -10).
440
Suppose -4*a + 1156 = z - 2868, 2*a + 3*z = 2002. Let b = a - 36241/36. What is the common denominator of (-2)/7 + 249/(-42) and b?
252
Let f(g) = 230*g**3 + 8*g**2 - 12*g - 7. Let m be f(5). Let x = m - 1386433/48. Find the common denominator of -53/66 and x.
528
Let f be (234/(-54))/(1*1/(-3)). Let u be 6*f/4*(-4)/(-6). Suppose -u*g = -12*g - 2. What is the least common multiple of g and 10?
10
Let n be (-392)/35 + 2/10. Let f = n - -14. Calculate the least common multiple of f and (-243)/36*(-44)/33.
9
Suppose 36252 = 298*o + 27*o - 7*o. What is the least common multiple of 168 and o?
3192
Calculate the common denominator of 268/(-128)*6 - -7 and -53/312.
624
Let c(y) = -y**3 + 12*y**2 + 9*y - 26. Let z be c(10). Suppose 30*g + z = 33*g. What is the least common multiple of 88 and g?
88
Let n be (-2)/5 - 8/(-20). Let r = n - -12. Calculate the smallest common multiple of 3042/(-1352)*(-8 + 0) and r.
36
Suppose 0 = -x + 6, -4*v - x + 5*x = -48. Calculate the least common multiple of v and 772.
6948
Let d = 5321/910 + -249/455. Find the common denominator of d and ((-4)/10)/((-24)/735).
20
Suppose -4*l - 319 = -5*u, -5*u - 376 = -11*u - 2*l. Calculate the smallest common multiple of u and (3/6)/(4/392).
441
Suppose -165*t - 76 = -184*t. What is the common denominator of (-1 - (-645)/700)/(3/t) and -169/150?
1050
Let p(i) = i**2 - 6*i - 117. Let h(m) = -m**2 + 5*m + 114. Let t(b) = -7*h(b) - 6*p(b). Calculate the lowest common multiple of 22 and t(12).
660
Suppose -4*j = 4*x - 12, -5*j - 3*x + 15 = -6*x. Calculate the common denominator of 99/4 and -2 - (-168)/(-92)*j/(-9).
92
Let i be 9750/(-68642) - (-45)/315. Let n = i + -534451/29418. Calculate the common denominator of -19/99 and n.
198
Suppose -4*q - r = 1701, -q - 2*r - 540 = -120. What is the common denominator of -139/546 and ((-108)/(-162))/((-346)/q - 1)?
5460
Let v = 41 - 15. Let i = 274 - 263. Let r = v - i. What is the smallest common multiple of r and 3?
15
Let j = -21 + 25. What is the common denominator of j + (284/(-8) - -4) and (-30)/(-32)*((-68)/12 + -1)?
4
Suppose -a = -3*h + 1490, 0 = 5*h - 2*h + 3*a - 1482. Calculate the smallest common multiple of 24 and h.
1488
Find the common denominator of 4 - ((2 - -5) + (-2828)/448) and -47/91.
1456
Let d = 744 - 738. Let o(u) = -u**2 + 13*u - 34. Let p(l) = l**2 - 14*l + 33. Let r(f) = 5*o(f) + 6*p(f). What is the least common multiple of r(18) and d?
30
What is the smallest common multiple of 8*(-3)/(-72)*(-1 - (-29 + -2)) and 740?
740
Let i be -1*5/30356*28/70. Let j = i - 553989/121424. Let f = -23/271 - -27831/5420. What is the common denominator of j and f?
80
Let f be 78340/180 + (-4)/18 + 0. Suppose f = 6*g - 429. What is the least common multiple of 120 and g?
720
Calculate the common denominator of -9/253 and (-38)/931 + (-27215)/(-84525).
3795
Let k be (-1421)/2 + 99/66. Let u = k - -779. What is the lowest common multiple of u and 60?
420
Let w = -10513/60 - -175. What is the common denominator of -97/24 and w?
120
Let r = 2741 - 1292. What is the lowest common multiple of r and 90?
14490
Let h = -563 + -5583. Let a = h + 331831/54. Let w = 4155 + -58243/14. Find the common denominator of a and w.
378
Suppose -70*w + 68*w + 37 = -i, -w - 2*i + 26 = 0. What is the lowest common multiple of w and (-60)/(-75)*(-850)/(-4)?
340
Suppose 39*h = 278*h + 118*h - 291312. What is the smallest common multiple of h and 20?
4080
Let a = 4870 - 4854. What is the least common multiple of 636 and a?
2544
Suppose 3*x + 6 = 4*d, 3*d = -0*d - 5*x + 19. What is the lowest common multiple of (28/(-6))/((-163)/1467) and d?
42
Suppose -49*r + 41*r + 3072 = 0. Suppose 2*h + 2*u - 65 + 15 = 0, 4*u - 19 = -h. What is the smallest common multiple of h and (12/(-14))/(r/(-126) + 3)?
54
Let o = -2/3751 - 183767/60016. Calculate the common denominator of (-2)/(-2) - 83/48 and o.
48
Let x = -9383969/207 + 45333. Find the common denominator of x and -73/45.
1035
Let c(n) = 17*n + 2. What is the common denominator of c(-2) and ((-775)/(-10))/(-291 - -381)?
36
Suppose -8*u - 6326 = -13046. Calculate the smallest common multiple of u and 280.
840
Let c = 12 + 28. Calculate the least common multiple of ((-10)/(380/(-57)))/(3 - (-27)/(-10)) and c.
40
What is the least common multiple of (-2)/4 - 402/(-4) and 33 + (44 - 35 - (-84)/(-4)) - 13?
200
Calculate the common denominator of 52/1581 and ((-9)/6 - (-18)/4) + 5553/(-1953).
11067
Let b = 85490 - 23082487