8
Let w = 100 + -56. Let r be (-3)/(96/40 - (0 - -3)). Suppose 4*v + g - 159 = 0, 3*v - 7*v + 165 = -r*g. Calculate the lowest common multiple of v and w.
440
Let r = -5297/4 + 1338. Let q = -35228 + 140899/4. What is the common denominator of q and r?
4
Suppose 6*q - 10*q = 40. What is the least common multiple of 39 and q*54/(-240)*2*4?
234
Suppose 32973*n = 32993*n - 74000. Calculate the smallest common multiple of n and 370.
3700
Let a = -876/13 - -2615/39. Find the common denominator of a and 143/2196.
2196
Suppose 37 - 159 = -f. Calculate the lowest common multiple of f and 12 - (9 - (12 - 7)).
488
Let w(u) = -u**3 - 54*u**2 + 233*u + 146. Calculate the least common multiple of 176 and w(-58).
176
What is the common denominator of -17/66 and 1110/405*(5 + 565/(-110))?
198
Let r(q) be the first derivative of -8*q**2 - 188*q - 246. What is the lowest common multiple of 60 and r(-18)?
300
Let m = 4293/7 - 42933/70. Find the common denominator of -61/30 and m.
210
Let z(x) = -25003*x - 4. Let a be z(-1). Let o = -124379/5 + a. Let u = o - 674/5. What is the common denominator of -44 and u?
5
Suppose -190 = -k - 5*t, k - 206 = 7627*t - 7624*t. What is the least common multiple of k and 1100?
2200
Let i = 132 - 129. Let t = 1143 + -751. Suppose 76 + t = i*g. What is the lowest common multiple of g and 14?
1092
Suppose 0 = p + 12. What is the common denominator of ((-88)/80)/((-4)/44) and (-74)/p + 2/3?
30
Let y(h) = h + 2. Let b be -1 + (0 - 2 - -2). Let g be y(b). Suppose 3*j - 29 + g = -4*n, j = 2*n - 24. Calculate the lowest common multiple of 7 and n.
70
Suppose -3*w - 82 + 2357 = 2*p, 5*w - 5705 = -5*p. What is the least common multiple of p and 112?
4592
Find the common denominator of -31/28 and 21640/53600 + (0/(-6) - (-2)/(-5)).
1876
Let i = 1555600 - 3322761739/2136. What is the common denominator of i and -89/84?
14952
Let z = 540 + -236. Suppose t + 357 = 3*l, -3*t = -3*l + 47 + z. Let k = l - 111. Calculate the least common multiple of k and 90.
90
Let k = -273766832/1711 - -160004. What is the common denominator of k and 71/472?
13688
Suppose 6*k + 6 = 138. Suppose -n = 4*y - 28, n = 5*n + y - 112. What is the least common multiple of 8/18*126/n and k?
22
Let m be 5 + (-232)/48 - 911/(-6). Find the common denominator of 34/15 and m/(-66) + (2 - 2)*-1.
165
Let o = 41548/5 - 8274. Let z = -287/10 + o. Find the common denominator of 29/156 and z.
780
Let m = 506734 + -874919. Let x = m - -2939509/8. Let f = x + 751. Find the common denominator of f and -71/8.
8
Let m(c) = -3*c - 42. Let u be m(-16). What is the common denominator of (69/u + -11)/(4/122) and (2 + -5)*18/40?
20
Let f(b) = b**2 + 15*b + 16. Suppose 9 = -3*r - 30. Let t be f(r). Calculate the common denominator of 4 + (71/t - 3) and -61/2.
10
Calculate the common denominator of 397/(-2706) - 276/(-1656) and -25/41.
451
Let i = -2616 + 7814/3. Suppose 7*f - 1136 = 3*f. Find the common denominator of (-1)/(-3) - f/96 and i.
24
Suppose 3*y + 3*b + 1036 = 3688, -3*y - b + 2654 = 0. Calculate the smallest common multiple of 20 and y.
3540
Find the common denominator of 80/(-552)*(-78)/16 and (2 - 11/4)/(1782/14949).
552
Suppose -5*i + 0*i + 0*i = 0. Let o = i + 19. Let r(b) = 2*b**2 + b - 1. Calculate the lowest common multiple of o and r(2).
171
Let a(y) = 2*y**2 + 8*y + 13. What is the lowest common multiple of a(-3) and 630?
630
Let y be -2*(-45)/(-36)*12/(-10). Suppose -2*w + 145 = y*d, -2*w = -5*d - 172 + 3. What is the least common multiple of 66 and w?
462
Let d(q) = -2*q**2 - 13*q + 38. Let f be d(2). Let j = 1 + 1. Suppose 2*g = -3*c - f, 5*c + g - 3 = j. Calculate the least common multiple of 13 and c.
26
Suppose c + 16318 = h, -2*c = -h - 0*c + 16318. Let i = 489491/30 - h. What is the common denominator of i and 80/153?
1530
Let u = 1609/2 - 4079/5. Suppose 30*o = 35*o - 1755. What is the common denominator of (-1)/3 - o/(-18) and u?
30
Suppose 15*b = 12*b - 3. Let r = -2828/4355 - 3/670. Calculate the common denominator of 5*b/2*17/(-119) and r.
182
Let v(u) = 274*u**3 - 5*u**2 - 19*u + 1. Let a be v(-5). Let d = 2228194/65 + a. Find the common denominator of d and -74/117.
585
Let b = 15918 - 15912. What is the least common multiple of 2324 and b?
6972
Find the common denominator of -57/1472 and ((-6)/9)/(64/(-132)).
1472
Let f(k) = -13*k + 35. Let z be f(0). Suppose 15*u + 1800 = z*u. Calculate the smallest common multiple of 20 and u.
180
Let i be (-16 - 2)*(-4)/12. Let z = 1 + -5. Calculate the smallest common multiple of 10 and z/i*(-3075)/50.
410
What is the least common multiple of 8 and 486*(0 - -2) - -12?
984
Calculate the common denominator of (23/(-27255))/(520/84 + -6) and -15/316.
1580
Let s(i) = 5*i**2 + 14*i - 15. Let q(w) = -14*w**2 - 43*w + 47. Let m(p) = -6*q(p) - 17*s(p). What is the lowest common multiple of 56 and m(9)?
504
Let u = -28903 - -28912. What is the smallest common multiple of 6159 and u?
18477
Let t = 33470 - 10710411/320. What is the common denominator of -127/6 and t?
960
Let k be 0/(-3*1/3). Suppose -5*o + 23 - 13 = k. Find the common denominator of -59/22 and 348/(-76)*o/(-20).
2090
Suppose -3*k - 22*r = -24*r - 35, 4*k = 2*r + 44. What is the smallest common multiple of k and 1041?
3123
Let i = -10/373 - -23579/2984. Suppose 9*r = -r + 29090. Let a = r + -98899/34. Calculate the common denominator of a and i.
136
Let w = 10597/4 + -2663. Find the common denominator of w and (-4 - (-10)/440*170)*(-4)/(-6).
44
Let y(q) = -38*q**3 - 4*q**2 + 7*q + 3. Let t be y(-4). What is the common denominator of 58/3 and t/66 - (-1 + -2)?
6
Let i = -5376749/118 - -45566. Calculate the common denominator of (-1014)/24 - (3 + (-45)/12) and i.
118
Let h(o) = 15*o + 16. Let m be h(2). Suppose 42*v = m*v - 100. What is the least common multiple of 1 and v?
25
Let f = -685829/24 + 28570. Find the common denominator of 13/132 and f.
264
Let a(n) = -907*n - 14. Let o be a(-2). Find the common denominator of -41/52 and (-1435)/o + 2/9.
520
Suppose -8*x = -13*x - 60. What is the common denominator of -123/50 and (-475)/(-500) - (-10)/x?
300
Let k = -21745/16 + 1362. Let i = -144 + 296. What is the common denominator of k and ((-20)/(-32))/(2/i)?
16
Let n(r) = 5*r - 21. Let m be n(4). What is the common denominator of 6/((-864)/(-186)) - (m + 4) and -11/12?
24
Let w = 43 - 18. Let j(y) = -4*y + 71. What is the common denominator of 3 + (10/(-22))/(-1) and j(w)?
11
Calculate the common denominator of 95/38*2 - (-2 - (-27078)/3860) and 55/1351.
13510
Suppose 4*u + 3*d - 670 = 653, 3*u = 2*d + 988. What is the least common multiple of 510 and u?
5610
Let u = 23544255557/5008 + -4701329. What is the common denominator of u and 65/22?
55088
Let w = -30825/17402 + -1/12430. Calculate the common denominator of 41/7721 and w.
38605
Let p = 445 - 437. Suppose -10 = 2*t, 21 = z - 9*t + p*t. What is the lowest common multiple of z and 80?
80
Let d be (4 - 4) + 1 + (-6)/2. Let m be (d/(-12))/(-1) + 86044/24. Let i = 71611/20 - m. What is the common denominator of 39/8 and i?
40
Let k be ((-77020)/222195)/(4/(-6)*-1). Let c = -5109468851/444390 + k. Let v = c - -11500. What is the common denominator of v and -89/30?
30
Let d be ((-10)/2 - 286/(-44))*-100. What is the lowest common multiple of 100 and (-20)/d - (-888)/90?
100
Let d(i) = -3*i**3 - i**2 - 8*i + 11. Let p be d(-5). Find the common denominator of p/35 + (-10)/(-70) and 18/7.
35
Let h = 211 - 298. Calculate the common denominator of 7842/(-35289) - 586/36 and 0 + h/(-28) + 1.
28
Suppose -254*h + 129*h = -126*h + 976. What is the lowest common multiple of 10 and h?
4880
Let k be (-27)/63 - (-64)/(-14). Let j(g) = 4*g + 40. What is the least common multiple of 12 and j(k)?
60
Suppose 5*f = -2*k + 527 + 37, 3*k = 5*f - 554. Let w be (-3)/9 + f/3. Suppose 13 = n - l, l = 4*n - w - 3. What is the smallest common multiple of n and 7?
63
Let u be (1245/(-486)*2)/((-9)/(-14526)). Let h be (4134/(-8))/((-3)/48). Let x = h + u. Find the common denominator of x and 59/27.
27
Let t = -2939 + 2984. Calculate the lowest common multiple of 1240 and t.
11160
Let r be 3 - (-44)/(-16) - 13830/24. Calculate the common denominator of (22/(-12))/((-9)/((-324)/40)) and (-4)/(-10)*8/(r/(-1005)).
60
Let c = 489 - 477. Supp