2)/v and m.
264
Let y = 37647686/69 + -545630. Let q = y - -25801/2208. What is the common denominator of q and 53/240?
480
Let o = 4 + 2. Let z(i) = -387*i**2 - 8*i - 7. Let m be z(-1). Let l = 392 + m. What is the lowest common multiple of o and l?
6
Let x = 5/277 + -19677/554. Let c = -1189 - -1117. What is the common denominator of x and (-11 + (-2408)/c)*3/8?
12
Suppose 20*c - 20 = 24*c. Let d = 348535/28 + -12450. What is the common denominator of 2/36*(-309)/c*3 and d?
140
Let f = -6743 - -7137. Calculate the smallest common multiple of 12 and f.
2364
Suppose 497*c - 498*c = -4*m + 81, -2*c + 102 = 4*m. Calculate the smallest common multiple of (108 + 2)/(-2*(-4)/8) and m.
110
Suppose 3*h = -2*h + 10. Let w be (6/(-8))/((-2)/8). Suppose -o = -w*k - 13, -o - o + 25 = -5*k. What is the lowest common multiple of h and o?
10
Find the common denominator of 211/12540 and 2/(-104) - (-208314)/177216.
100320
Let k(o) = -o**3 + 5*o**2 - 3*o + 1. Let t be k(4). What is the smallest common multiple of ((-2)/t)/(33/(-990)) and 57?
228
Calculate the common denominator of 1*(-721)/98 - 8/(-8) and 143/42.
42
Let k = 12817 + -11620. Calculate the least common multiple of k and 798.
2394
Suppose 4*t = 16, 4*m + 100 = 2*t - t. Let a be (-1 - m)/((-20)/(-6) - 3). Let v = 93 - a. What is the smallest common multiple of v and 21?
168
Let m = -30 + 102. Let w = -48277 + 48301. Calculate the least common multiple of m and w.
72
Let k(s) = 2*s**3 - 16*s**2 + 19*s - 4. Suppose -3 = -3*y + 3. What is the least common multiple of k(1) and 1/1 - (-2)/y?
2
Let s be 2/(-8) - (-84)/16. Suppose -49 = -5*r + s*f + 6, f = -1. What is the smallest common multiple of r and 28?
140
Suppose -3*u = k - 74, 5*u - 5*k - 97 = 13. Let i = -528 + 600. What is the lowest common multiple of i and u?
72
Find the common denominator of 5/3 and (81 + -11)*(-3)/(-1566).
261
Find the common denominator of 5/(-1) - (-19)/10*9 and -38/2037.
20370
Suppose -57 = -8*w + 23. Find the common denominator of (-455)/214 + (12 - w) and -23/14.
1498
Suppose -2*p = x + 112, -p - 14 - 207 = 2*x. Let h = 5 + x. Let o = -94 - h. What is the smallest common multiple of 4 and o?
44
Let s = -23687/20520 + 91/135. Find the common denominator of -48/1501 and s.
12008
Suppose 35 - 283 = -62*s. What is the least common multiple of s and 482?
964
Let r be (-30)/(-8)*(-1 - (-1 - -8)). Let j(n) = -n**3 + 8*n**2 + 3*n - 12. What is the smallest common multiple of ((-33)/22)/(((-3)/r)/(-1)) and j(8)?
60
Suppose -4*z + 17 = -15. Let h be (-438)/z + -3 + 3/4. Let n = h - -62. Calculate the least common multiple of n and 14.
70
Let r = -46090 + 7374483/160. Find the common denominator of -43/336 and r.
3360
Let x = 705 + -710. Suppose 3*g = 10 + 44. What is the smallest common multiple of (-2)/x - 84/(-15) and g?
18
Let a be (-1)/(-2) - 10676460318014/(-1578164814). Let t = a + 1/4614517. Let h = t + -6759. What is the common denominator of -97/70 and h?
630
Let y = 8994 - 8983. Calculate the smallest common multiple of y and 3004.
33044
Let a = 5/1878 + -81089/125826. Let u = a + 3233/2010. Let b = -19441 - -155509/8. What is the common denominator of b and u?
120
What is the common denominator of ((-9)/((-1125)/10))/(-6*28/(-1130)) and -143/120?
840
Let k(m) = -3*m**2 - 26*m - 7. Let o = 25 - 36. Let b be k(o). Let s = b - -90. What is the least common multiple of 5 and s?
30
Let b = -267/160160 - -2157432687/160160. Let l = b - 13471. Calculate the common denominator of -21/104 and l.
728
Let k = -48 - -54. What is the lowest common multiple of (17 - 8) + 3*(-4)/k and 7?
7
Let l = -5048 + 111085/22. Let o = -2189/28 + 388/5. Calculate the common denominator of l and o.
1540
Suppose -2*q - 8*o + 10*o = -64, -5*q = 4*o - 115. Calculate the common denominator of 31/8 and -17 + 11 - q/(-16).
16
Let x = -16740 - -151778/9. Let f = 4655/36 - x. Calculate the common denominator of 101/106 and f.
636
Suppose -2*g + f + 11 = 0, 0 = 4*g + 2*f - 5*f - 19. Let y = -1 + g. Suppose -210*j = 83*j - 478 - 987. What is the least common multiple of y and j?
30
Let z = 2/205 - -13633/10455. Find the common denominator of z and 24/(-36) - 40/(-9).
153
Suppose 0 = -63*j + 62*j - 46. Let s = j - -43. Let v = 47 + s. Calculate the smallest common multiple of 10 and v.
220
Let s(m) = 3*m - 3. Let o = 4 - 2. Let p be s(o). Let i = 5 + p. Calculate the lowest common multiple of i and 11.
88
Let j = 18273/8 + -2287. Let n = -65440602895/279522 + 12407884/53. Let a = n - -10/293. What is the common denominator of j and a?
72
Suppose -4*r = n - 122, -90*n - r = -92*n + 199. What is the lowest common multiple of n and 34?
102
Suppose -5*t = -z - 62, -t + 0*z = 4*z - 4. What is the common denominator of (10/84)/((-6)/(-99)) and (-7)/21*639/t?
28
Suppose -66 = -5*n + 9. Suppose -5*c = -n, -2*c - 42 = -4*r - 0*r. Suppose 10 + r = 11*w. What is the least common multiple of 10 and w?
10
Let m(b) = -b**3 - 17*b**2 + 83*b - 18. Let n be m(-21). What is the lowest common multiple of n/8 - ((-2778)/16 - -6) and 32?
672
Let h be (-306)/81 - (-6)/(-27). Let s(v) = -v**3 - 5*v**2 - 3*v + 4. Let b be s(h). Suppose 18 = 2*t - b. What is the least common multiple of t and 8?
72
Let y = -157847/8238 + -8/1373. Let d = -137 - 39. Find the common denominator of y and ((-840)/d)/(5 - -1).
132
Let t be 7 + -9 + 353/74. Let o = 11015/3108 - t. Let u = -4255/1428 + o. Calculate the common denominator of -34 and u.
34
Let q be (3/1788)/(10/(-12)). Let b = 29432/2235 + q. Calculate the common denominator of b and (-3)/88 - (63 - 17815/280).
66
Suppose 11*q - 3543 - 516 = 0. Suppose q = 3*l + 270. What is the smallest common multiple of 87 and l?
957
Let k = -45628505294/45 - -1013897539. Let u = k - -337751/5. Let i = u - -1693. Calculate the common denominator of -26/75 and i.
225
Let t(n) = 46*n + 1531. What is the least common multiple of 3501 and t(9)?
17505
Let y be (-15)/10*288/(-27). Suppose 4*t + y = 28, -c = 5*t - 16. Let r(z) = -2*z - 3. Calculate the smallest common multiple of r(-2) and c.
1
Suppose -p = 3, -5*p + 634 = 5*o - 3*p. Let d be o/10 + (5 - 0). Let q = 103/10 - d. Calculate the common denominator of 143/6 and q.
6
What is the lowest common multiple of 24 and -18 + 801*(-26)/(-117)?
480
Let w be 2/(-2) - ((-319)/321 + 0). Let i = 6085/2247 - w. Find the common denominator of 3/45 - 1/3 and i.
105
Let k(g) = 27 - 91 - 42 + 10*g + 17*g. Calculate the least common multiple of 8 and k(6).
56
Suppose i + 34 = -3*r + 127, 4*i - 4*r = 324. Suppose 12*t - i = -2*t. Calculate the least common multiple of 7 and t.
42
Suppose -3*q + 0 = 4*w + 1, -4*w = -4*q - 20. Suppose -2*a + 10 = -3*k, -3*k = -w*a + 7*a + 38. What is the common denominator of 120/(-70)*(-2)/k and -10/7?
7
Let k = 7400 - 7329. Let b(s) = -3*s**2 + 2*s + 1. Let x be b(-4). Let m = k + x. What is the smallest common multiple of m and 12?
48
Let k = -1261443/28 - -118324439/2604. Let p = k - 388. Let m = p - 660/31. Calculate the common denominator of m and 32/21.
21
Let u = -18424 + 1418623/77. What is the common denominator of 5 - ((-12)/(-22) - 32796/(-7392)) and u?
616
Let f = -11 - -65. What is the smallest common multiple of (14 + 1 - -5) + 0 and f?
540
What is the common denominator of 90/(-28) - 5/20 and (-1)/126*4*333/12?
84
Suppose 6*d + 2*i = 11*d, 2*d = 2*i. Suppose 15 = l - 4*q, -18 = -5*l + q - d*q. What is the lowest common multiple of (-2)/7 - (-102)/14 and l?
21
Let i be 537222/(-2415)*(3/(-8))/(-3). Let h = -505/23 - i. Find the common denominator of h and -53/12.
60
Let i = 138 - 134. Find the common denominator of -70/3 and (-16 - -6)/(-3 - (-190)/i).
267
Let v = -52 - -55. Let p(j) = 11*j - 97. What is the lowest common multiple of v and p(11)?
24
Calculate the lowest common multiple of 1*2/(-30) - 990290/(-3225) and 18.
5526
Suppose -4*z = 95 - 107. What is the common denominator of 220/36 - z - -4 and (-1 + -49)*20/48?
18
Let p be -4569 + -2 + 10/2. What is the least common multiple of 21 and (-2)/(-7) + (-1 - p/42)?
756
Suppose -2*k - 4 = -3*d + 8, 3*k = -d + 15. Let f be (-496)/(-24) - 4/d. Suppose -f*o = -17*o - 27. Calculate the least common multiple of 3 and o.
9
Suppose -6*n + z = -10*n + 24, -n - z + 9 = 0. What is the smallest common multiple of 0 + 4*-14*