. What is the common denominator of (-75)/50*92/(-249) and t?
83
Let q = 4/597139 + 82999801/376197570. What is the common denominator of 38/175 and q?
3150
Suppose 50*a - 54*a - 150 = -5*m, 2*a = -m + 44. What is the smallest common multiple of m and 1100?
18700
Suppose 5*r + 250 = 260. What is the lowest common multiple of 434/(-28)*-1*r and 5?
155
Let s = 22507 + -18624. What is the lowest common multiple of s and 11?
3883
Suppose 20 - 11 - 41 = -2*u. What is the least common multiple of 22 and u?
176
Let x = -8183185/1081 - -7570. What is the common denominator of x and 53/9?
9729
Let y = 2961469/65532484 + -2/197387. Calculate the common denominator of y and -73/12.
996
Let r be (-4)/(-3 + 102/42). Find the common denominator of 133/36 and r/(-28)*(-39)/12.
144
Let b(n) = -99*n - 724. Calculate the lowest common multiple of b(-10) and 1406.
9842
Suppose -4*l - 148 = 3*h + 2*h, 4*h + 113 = -5*l. Let w be ((-12)/8)/(0 - 12/h). Calculate the smallest common multiple of 2 and (w/(-5))/(14/525).
30
What is the common denominator of 11/210 and (10857/(-15228))/(0 - 2 - (-3)/9)?
1260
Calculate the common denominator of -83/3140 and (-1470)/945 + 1199/360.
6280
Let t(m) = 2*m**3 - 48*m**2 + 310*m + 26. Calculate the least common multiple of 10 and t(8).
2290
Let o(u) = -6*u**2 - 4*u - 30. Let w be o(-7). Let m be w*70/4 - -2. Let k = m - -41361/8. Calculate the common denominator of k and 41/16.
16
Suppose 2*m - 4*z = -6, -3*m - 2*z - 42 + 57 = 0. Let k be ((-12)/(-14))/((-1)/(-84)). Let a = 105 - k. Calculate the lowest common multiple of m and a.
33
Suppose 14*m = 16*m - 3*k - 88, 5*m - 3*k - 193 = 0. Calculate the smallest common multiple of m and 30.
210
Suppose 3*d - d - 190 = 2*t, 0 = 5*t - 5. Suppose -21*u = -22*u + 19. Suppose 31 = u*b - 45. What is the least common multiple of b and d?
96
Let o = -2356 - -2368. Calculate the least common multiple of 1383 and o.
5532
Let x = 254096/5 + -64286336/1265. Find the common denominator of x and -76/345.
3795
Suppose -n = 4*c - 6, -2 = 2*c - n + 4*n. Suppose 0 = -o + 2, c*s - o = 3*s + 1. Calculate the smallest common multiple of 27 and 7/(2/2*s/(-3)).
189
Suppose 3*b + 2*t = -3*t + 980, b - 326 = -2*t. What is the common denominator of -3/50 and b/12*2/(-28)?
700
Let f = 743611/475 + -3131/2. Calculate the common denominator of f and 62/475.
950
Suppose -1409360 = -d - 15*d. Let s = d - 5284919/60. What is the common denominator of 47/20 and s?
60
Let z(h) = 1212*h + 72. Let p be z(4). Suppose p = 26*w - 11*w. What is the lowest common multiple of 6 and w?
984
Suppose 210 = -5*m + 5*v, 5*m - v + 57 + 153 = 0. Let y be (1/2)/(1/(-8)). Find the common denominator of m and (43/15)/(2/y).
15
Let q = 515475 + -695891213/1350. Calculate the common denominator of 103/270 and q.
1350
What is the common denominator of (-3 + (-9)/6 + 4)*4150/950 and -101/2770?
52630
Let n = -10353 - -13580. Calculate the lowest common multiple of 11 and n.
35497
Let t = -131809/9 + 14646. Find the common denominator of 37/122 and t.
1098
Let h(o) = -o + 8. Let c be h(-3). What is the common denominator of 1/178 and ((-23)/2)/1 - (9 - c)?
178
Let z = 3736877/1518 + -27084/11. Find the common denominator of ((-5)/(-192))/(1/608*-8) and z.
1104
Suppose 5*k = -5*v + 15, -3*v - 4*k + 19 = 15. Suppose 2*d + 3*o = 6 + 9, -o = -3. Suppose -7*q + d*q = -128. What is the smallest common multiple of v and q?
32
Suppose -4*f + 3*k + 4950 = 0, 5*f - 8*k - 6185 = -3*k. What is the common denominator of 34/7 and f/(-189) + (-6)/(-1)?
63
Let a = 72 - 75. Let j = -44350/11 + 4035. Find the common denominator of (504/154)/((-2)/a) and j.
11
Calculate the smallest common multiple of (-350)/3*18/(-60)*10 and 100.
700
Let w be (-15)/(-15)*(-6 - -1). Let h be ((-9)/4)/(w/20). Let l(s) = 5*s - 7. Calculate the common denominator of 55/3 and l(h).
3
Let c = 9324 + -279631/30. Let j(l) = -3*l**2 - 20*l - 3. Let f be j(-6). Find the common denominator of 265/72 - 2/f and c.
120
Let k(c) = 4*c**3 - 105*c**2 + 129*c - 30. What is the least common multiple of 140 and k(25)?
140
Let i = 13 - 6. Let m(k) = -18*k - 137. Let o be m(-8). Suppose o*j = -3 + 73. Calculate the lowest common multiple of i and j.
70
Suppose 4*h - 52 = -3*c, 16 = 7*c - 3*c. Calculate the least common multiple of 46 and h.
230
Let y = 7498 + -75083/10. Calculate the common denominator of ((-114)/4)/(21 - 15) and y.
20
Suppose -5*o - 51 = -8*k + 12*k, 0 = 3*o + 4*k + 29. Calculate the common denominator of 91/22 and -2 + ((-2332)/8)/o.
22
Suppose 0 = 5*z - 4*z - 21. Suppose 2*y - 10 + 310 = 0. Let l = -142 - y. Calculate the smallest common multiple of z and l.
168
Let k = 1424681009/2676 + -532392. What is the common denominator of 55/2 and k?
2676
Let a = -22397 + 9981. Suppose -2*z + 690 = -5*y - 408, -2*z + 2*y = -1092. Calculate the common denominator of (0 + -10)/(a/z) and 109/12.
1164
Find the common denominator of -28/429 and (50/8)/((-30)/4*14/(-20)).
3003
Let b = 247990/12443609 + -7/8819. What is the common denominator of b and -53/8?
11288
Let j(q) = -3*q + 9. Let r be 1 + -15*(-12)/(-90)*3. What is the lowest common multiple of j(r) and 255?
2040
Let s = 275 - -1201. What is the lowest common multiple of s and 10?
7380
Let k(m) be the second derivative of -7*m**3/6 - 19*m**2 - 2*m. What is the lowest common multiple of 6 and k(-8)?
18
Let h be 4/10 - 227652/569205. Let q = -159014/37947 - h. Find the common denominator of q and 88/21.
21
Let p be (7/(-8))/(2/4)*-8. Let v(s) = 8*s - 99. Calculate the least common multiple of v(p) and 13.
13
Suppose -2*d - 68 + 82 = 0. What is the least common multiple of d/(14/20)*(-1 + 2) and 6?
30
Let j = 277 - 264. Let o(u) = -u**3 + 14*u**2 - 12*u - 12. Suppose 4*v = v + 9, -2*v = 2*i - 18. What is the least common multiple of o(j) and i?
6
Let o = -54 + 180. Let p = o - 965/8. What is the common denominator of -121/20 and p?
40
Let j(k) = k**3 - 4*k**2 - 30*k + 5. Calculate the lowest common multiple of j(9) and 7.
140
Suppose -t - 1436 = -5*t. Let c = 379 - t. Calculate the lowest common multiple of 372 and c.
1860
Suppose -3*q - 2*f = 2528, -3*q - 3047 = 4*f - 511. Calculate the common denominator of 475/q + 0 + 5/(-30) and 6/35.
280
Let f = 115/24 + 143/8. Suppose b = -48 - 0. Calculate the common denominator of f and (8 + 0)/(90/b).
15
Let q = -114 - -1625/14. Calculate the common denominator of q and -113/42.
42
Suppose 0*n + 2*n = 30. Let u(t) = 6*t + 52. Let k be u(-9). Calculate the lowest common multiple of (-1908)/(-216) - k/12 and n.
45
Suppose 12 = -n + 4*b - 10, 2*n - 22 = -3*b. What is the smallest common multiple of 1718 and n?
1718
Let v = 164 - 89. Calculate the common denominator of (65/v)/(24/(-100)) and 21/30*65/(-2).
36
Let c(r) = 7*r**2 - 1264*r - 491. Suppose 0 = -4*n + 37 + 91. What is the smallest common multiple of n and c(181)?
416
Let v = -249765 - -2661246078/10655. Let y = v + 713804/287685. Calculate the common denominator of y and 1*((-10)/(-18))/(-5).
27
Let u be 1/2*(-12772)/12. Let t = 4792585/9006 + u. Let x = -41434/49533 + t. Find the common denominator of x and -34/3.
33
Let u = 706569270987/15474536 + -28236/175847. Let x = -45661 + u. Find the common denominator of 23/16 and x.
176
Let s = -99/80 + 4307/2640. Let z = 6 - -1. What is the common denominator of z and s?
33
Calculate the least common multiple of 5620 and ((-44)/(-33))/(24/90).
5620
Let l = 86279/32662 - -3/2333. Find the common denominator of l and (62/(-60))/((-26)/((-598)/69)).
630
Let h(x) = -x**3 + 4 + 2*x**2 - 17*x - 16 - 5 + 2*x**3. Let s be h(-7). Let a = s + 5707/40. Find the common denominator of 41/20 and a.
40
Let f = 442800/13 + -34038. Let r = f + -997/65. What is the common denominator of 101/2 and r?
10
Let m be (96/(-18))/8*6/2. What is the common denominator of (m/18)/(11/48) and 33/(-45) + 2 + 6/(-4)?
330
Let o = 1750 - 1742. Calculate the lowest common multiple of o and 208.
208
Calculate the least common multiple of 22 and 30/(-105) - ((-52512)/42 - -2).
13728
Suppose -2 = -u + 1. Suppose 63 = -u*c - 54. Let w = 75 + c. Calculate the smallest common multiple of w and 12.
36
Suppose -49*g + 64*g - 2790 = 0. Suppose p = -2*k - 0*p + 122, -g = -3*k - 3*p. Calculate the lowest common multiple of k and 6.
6