j and 8.
48
Let q = -1093073668/674499 - 20/96357. Let k = 1624 + q. What is the common denominator of (-106)/(-54) + (-2)/2 and k?
189
Suppose 5*k + 553 = 4*m, 690*k - 691*k = 3*m - 429. What is the least common multiple of m and 434?
30814
Let w(a) = -a**3 - 44*a**2 - 99*a - 606. Let f(o) = o**3 + o**2 + 6. What is the smallest common multiple of w(-42) and f(0)?
24
Let h(p) = 94*p**2 - 5*p - 5. Let y be h(-4). Let q = y + -24281/16. What is the common denominator of q and 8/14 + 29/(-9*(-84)/261)?
48
Let o be 2/((-2)/6*-2). Suppose -o*t + 9 = -153. Suppose 2*y = -2*w + 22, -3*w + 3*y + y = -t. What is the lowest common multiple of w and 8?
56
Calculate the common denominator of ((-31)/(-15) + -2)/(6/(-7371)*1719) and -64/573.
5730
Let z = -8573461457/1635672 - -1695162/323. Let v = z + -1/633. Calculate the common denominator of 620/(-2790) + 1 + (-866)/936 and v.
312
Let o = -8928/295 - -5292593/174935. What is the common denominator of o and -41/15?
8895
Let z(d) = -20*d - 69. Let f be z(-4). Let w(i) = -i**3 + 8*i**2 + 33*i + 1. Calculate the smallest common multiple of w(f) and 30.
30
Suppose 0 = -18*p + 20*p. Suppose -v + 3*z + 0*z + 23 = p, -20 = 5*z. What is the lowest common multiple of v and 6?
66
What is the common denominator of 104/105 and 396/90*550/(-1680)?
420
What is the common denominator of -6062*(-35)/(-17724) + 12 and -67/2?
1266
Suppose -27 = -3*l + 4*j - 7, 5*j + 25 = 2*l. Suppose -10*c + 188 + 12 = l. What is the smallest common multiple of 230 and c?
460
Let z = -8944682771/40 + 223600262. Let j = z + 16806. What is the common denominator of j and -63/125?
1000
Let c = -44 - -45. Find the common denominator of (-52)/(-160)*-2 + c and 43/40.
40
Suppose -3*t - t + s + 5 = 0, 0 = -t + 3*s - 7. Let o be (-1)/t*(-3 - -11). What is the common denominator of 51/7 and (-107)/((-1)/(o/(-24)))?
42
Let c be 4 + (-3 - 3) + 9. What is the common denominator of (-2)/(-5) - 1406/240 and 152/(-3)*14/(-2156)*c?
264
Let s = -87 - -119. Let r be (-54)/(-4)*(-8)/12. Let u(l) = l**3 + 10*l**2 + 7*l - 16. What is the lowest common multiple of s and u(r)?
32
Let k be 3558/10 + (120/(-50))/(-12). Suppose -k*h = -357*h + 44. Calculate the lowest common multiple of h and 24.
264
Suppose 5*l = l + 3*i + 324, -3*i = 3*l - 264. Suppose -l = -3*x + 96. Suppose 31*v - 263 + 648 = 881. Calculate the smallest common multiple of x and v.
240
Calculate the lowest common multiple of 18 and -55 - -56 - 127*(-3)/6*2.
1152
Suppose 0 = -29*m - 3979 + 10562. Suppose 133 = 4*g - m. Calculate the lowest common multiple of g and 27.
270
Let x = 473 - 469. Suppose -3 = -15*t + 16*t, -3*j + x*t = -282. Calculate the least common multiple of j and 40.
360
Let i(j) = -j**2 + 9*j - 8. Let v be i(7). Suppose -v = 3*p - 4*p. Let u = 7 - -2. What is the least common multiple of p and u?
18
Suppose 0 = -3*l - 3*k - 1890, l - 7*k + 10*k = -630. What is the common denominator of 37/77 and (-36)/l*(-1130)/8 + 3?
154
Suppose l - 39 = -39. Suppose l = -3*f - f + 24. Suppose 0 = 5*y - m - 114, 3 = 2*m + 11. Calculate the lowest common multiple of f and y.
66
Let w(j) = -3*j**2 + 3*j + 4. Let x be w(-2). What is the least common multiple of x/(-4)*-2 - -79 and 90?
360
Let f = -2564 - -115426/45. What is the common denominator of f and (-7)/21 + 101/(-165)?
495
Let y = 5506 - 5335. What is the lowest common multiple of 33 and y?
1881
What is the common denominator of -79/516 and (25/(-20))/(-5) - 8940/24080?
3612
Suppose 76*c - 10*c - 726 = 0. Suppose 2*q - 18 = -2*d, -q + 0*q + 2 = 0. What is the lowest common multiple of c and d?
77
Let j = 3454 - 2995. Calculate the lowest common multiple of j and 198.
10098
Calculate the common denominator of -13 - (15 - (-156543)/(-5592)) and -19/4194.
16776
Let s = 280951/2006130 + -5/4893. What is the common denominator of s and -65/164?
820
Let i = 10913129/8283555 + 2/131485. What is the common denominator of (-60)/32*3/7 and i?
504
Let r be 287*((-88)/14 - -8). Let h = -472 + r. Suppose -2*y = 4*b - 26, -4*y - 28 = -0*b - 2*b. Calculate the lowest common multiple of b and h.
40
Let c = -1356798 - -19074617/14. Let f = 5678 - c. What is the common denominator of 47/22 and f?
154
Let q = -15536 - -372731/24. What is the common denominator of q and 140/105 - (-8 - 16534/(-1596))?
456
Let n be 2651/9*((-114)/(-20) + -6). Let t = 248/3 + n. Find the common denominator of 55/102 and t.
510
Let t be 5669/(-3038) + -1 + 3. Let m = -20/49 + t. What is the common denominator of 418/3344*(-808)/18 and m?
558
Suppose -131 = 4*f + 189. Let j = -71 - f. Suppose -7*x + j*x - 8 = 0. Calculate the lowest common multiple of 9 and x.
36
Suppose 0 = -2*k - k - 2*a + 23, a = 2*k - 20. Suppose -k*n = -n - 168. Calculate the common denominator of -33/8 and (-7)/n - (-254)/(-12).
8
Let x = -43/20 + 15/4. Let d be (-194*1)/((-16)/(-568)). Let f = -55197/8 - d. What is the common denominator of f and x?
40
Suppose -4*f - 11*p + 110 = 0, -4*f = 2*p - 2 - 90. Suppose -5*q - 3*n = -642, 5*q = -0*q + n + 626. Calculate the smallest common multiple of q and f.
1386
What is the common denominator of -26/183 and (-70)/708*((-74)/10 + 3)?
10797
Let m = 1585 + -1479. Calculate the least common multiple of m and 8.
424
Suppose 2 = 3*n - 5*h - 5, -3*h = -12. Suppose 4 = 4*r, z + 4*r - n*r = 4. Calculate the least common multiple of 45 and z.
45
Let q(t) = -53*t - 4. Let y be q(10). Let p be (14/21)/(1064/y + 2). Suppose p - 17 = 6*o. What is the least common multiple of o and 48?
48
Let k(u) = 63*u**2 - 15*u + 256. What is the smallest common multiple of k(7) and 18?
29142
Let g = 188 + -176. What is the least common multiple of (-4*15)/(-14 + g) and 15?
30
Suppose 54127 = 5*l + 2*v - 17027, -6*l + 4*v + 85404 = 0. What is the least common multiple of 18 and l?
42696
Suppose -1768 = -2*i + 3*v + 209, -10011 = -10*i - 3*v. Calculate the smallest common multiple of i and 1110.
9990
Let o be (4 - (-105)/(-20))*(1 - 5). Suppose 2*m - 101 = o*n - 6*n, -4*n + 2*m = -394. What is the lowest common multiple of n and 198?
198
What is the common denominator of 894/140 - (30 + -23 + -1) and -18/305?
4270
Let a = 112 - 118. What is the common denominator of 38/5 and (-91)/a + (-112)/84?
30
Let w = 30467 + -7129405/234. Find the common denominator of (-23)/8 - (-1 - -1) and w.
936
Let y = 10478204303183/2683474239754 + -3/371106934. Let o = -1/21693 - y. Let z = 1179767/30 - 39330. Calculate the common denominator of o and z.
210
Let h be 4 + (-30)/(-18) - 6/9. Suppose -h = 2*z - 29. Calculate the smallest common multiple of 42 and z.
84
Let u = -1/51649 - -214573/1601119. Calculate the common denominator of u and -71/248.
3224
What is the least common multiple of 153 and (1089/(-242))/((-3)/106)?
8109
Let v = 9674 - 1315669/136. Calculate the common denominator of 41/72 and v.
1224
Suppose -i - 26*l + 520 = -21*l, -6*i = -3*l - 3153. Calculate the lowest common multiple of 125 and i.
2625
Let w(k) = 2*k**2 - 11*k + 50. What is the smallest common multiple of w(5) and 2175?
6525
Find the common denominator of 3/55672*(-205 + 81) and 133/12.
83508
Suppose 1 = -5*r + 51. Calculate the lowest common multiple of r and -9*(-12238)/1827 - 4/14.
60
Let u(o) = 3*o**2 + o. Let w be u(28). Suppose -4*t - w = -4*f, 3065 = 5*f + 5*t + 140. Calculate the smallest common multiple of 8 and f.
2360
Let x be 274/(-6) - (-16)/24. Let j = x - 23. What is the common denominator of -3/10 and 358/j + (-20)/5*-1?
170
Suppose 8*r + 1360 = -536. Let n = -2624/11 - r. Find the common denominator of -63/10 and n.
110
Let c = 10218 + -6902. What is the lowest common multiple of 12 and c?
9948
Let m(x) = -x**3 - 35*x**2 + 2*x + 101. Let z be m(-35). Suppose 3*v = -g + z, g + 10 = -g. What is the lowest common multiple of v and 2?
12
Let g = -481036/5 - -97036. Let o = 98941/120 - g. What is the common denominator of o and 2*38*3/(-288)?
24
Suppose b + 86 = 2*z, -5*z + 8*z = b + 87. Let i = 102 + b. Let x(p) = p**3 - p**2 - 4*p. Calculate the least common multiple of x(3) and i.
18
Let u = -43 + 47. Suppose 47 = -4*b - 3*a, -u*a - 4 - 16 = 0. What is the common denominator of 133/30 and -3 - (-3)/b*15/6?
240
Let a = 12181 - 6787. Let p = a + -80996/15. What is the common denominator of p and ((-4)/(-9))/(22