84. Suppose -10*a - 27*a + 370 = 0. What is the smallest common multiple of p and a?
10
Suppose 4 + 4 = -5*l - 2*r, -11 = 4*l - 3*r. Suppose 12 = -3*x, -2*x + 12 = 5*k - 5*x. Calculate the lowest common multiple of 15 and 2/(k - l/8).
120
Calculate the common denominator of -73/28 and (19 - 15 - (-1059)/(-126)) + 4.
84
Let d = 46292083/15756 + -38196/13. What is the common denominator of d and 73/36?
3636
Let b = -364937/31734 - 2/15867. Let l be 1122/(-261) + 0 + 0. Let r = l + 13/3. Find the common denominator of b and r.
58
Let u(i) = i**2 - 9*i - 21. Let p be u(11). Find the common denominator of 627/90 + (-4 - (0 - 3)) and p/4*-291*(-2)/(-9).
30
Suppose 0 = 4*g - 0*g - 8. Suppose -2*y + 7*y = i + 14, 2*y - 20 = -g*i. Calculate the lowest common multiple of i and 52.
156
What is the common denominator of ((-6463)/(-120))/23 - (-2)/(-16) and 91/444?
2220
Let g be -30*(14/4 - 4). Let y be 2102/(-5) + (6/g)/1. Find the common denominator of (-28 + (-1 - 0))/(y/14) and 37/60.
60
Let q = 582382 - 326133823/560. What is the common denominator of q and 94/525?
8400
Calculate the lowest common multiple of 1582 and (-87)/(-3) + 10 - (9 + -2 + -2).
26894
Suppose 10*f = 6*f + 5*d - 999, 1260 = -5*f - 5*d. Let n = f - -306. Calculate the least common multiple of n and 90.
990
Let x(m) be the second derivative of -m**5/20 + 7*m**4/6 - m**3 - 29*m**2/2 - 66*m. Calculate the smallest common multiple of x(13) and 8.
248
Let z = 9436399/86 + -109726. Let d = 121757/4425 + -691/25. Let l = d - -5309/1416. What is the common denominator of z and l?
344
Let h(y) = -y**2 + 9*y - 69. Let g be h(18). Let b = g + 241. What is the smallest common multiple of 18 and b?
90
What is the least common multiple of 22 and 5496*(-22)/(-110)*20?
241824
Suppose 26*j = 13*j + 312. Calculate the common denominator of -107/48 and -2 - (-489)/(-144)*(-16)/j.
144
Let v = 27 + 13. What is the smallest common multiple of v and (10/(-15))/((-1)/3)*18?
360
Suppose 2*a + 6 = 5*x - 10, x - 4*a + 4 = 0. Suppose -d = -0 - x. What is the smallest common multiple of 31 and (d/6)/(6/9)?
31
Suppose -648 = -39*y + 30*y. Let i = 94 - y. Calculate the least common multiple of i and 22.
22
Let m = 19 + -19. Suppose m = 2*b - 3*r + 6, 2*r + 2*r - 16 = 0. What is the common denominator of -25/52 and 22/10 - (b - 7)?
260
Suppose -5*a + 2*b + 606 = 0, 4*b + 486 = 4*a + 2*b. Calculate the common denominator of -8 + 4/a*333 and 83/63.
630
Let p = 28 - 26. Suppose -45 = p*r + r. What is the common denominator of 1/9 and 314/(-60) + (-1 - 6/r)?
18
Let s(y) = -y**3 + 2*y**2 + 2*y - 1. Let h(p) = 5*p**3 + 7*p**2 - 42*p - 19. Let w(t) = -h(t) - 4*s(t). Calculate the lowest common multiple of 9 and w(-17).
207
Suppose 4*w = -0*w + 300. Let s = -8945 + 214619/24. What is the common denominator of s and w/(-12) + (-5)/(60/(-8))?
24
Let u = -2471907/167 - -14802. Find the common denominator of u and 8/11.
1837
Suppose 5*r = -4*d + 134, -31 = -5*r - 2*d + 101. Let a = 58 - r. Let w = a + -23. What is the smallest common multiple of w and 4?
36
Suppose -76398 = 964*y + 949*y - 1930*y. What is the lowest common multiple of 33 and y?
49434
Let u(q) be the third derivative of -q**5/60 - q**4 - 17*q**3/2 - 2*q**2 + 41*q. What is the lowest common multiple of 9 and u(-16)?
693
Let l = -558307/7762608 + -5/51408. What is the common denominator of l and 12/1661?
13288
Suppose 4*d + 4*b = 0, 4*d + 2*b = -d + 12. Suppose -d*f = -115 - 533. What is the smallest common multiple of 15 and f?
810
Let t = -693 - -1041. Let j = -84/11 + 1337/165. What is the common denominator of j and t/(-108) + 2 + 44/(-16)?
180
Calculate the common denominator of 22/(-165) - (-2502)/2700 and -89/90.
450
Let x(f) = 2*f**3 + 16*f**2 + 2*f - 7. Let w be x(-12). Find the common denominator of 25/24 and 1/(w/(-301) + -4).
24
What is the smallest common multiple of 203 and (-2 - 2)/8 - 1/((-8)/1396)?
1218
Suppose 3*y - y + 12 = 0. Calculate the lowest common multiple of 121 and 5/(402/66 + y).
605
Let j = 1066885/132 - 8083. Find the common denominator of j and 16/209.
2508
Let q = -2/231329 - 20123255/273893536. Calculate the common denominator of q and 87/112.
8288
Let j = 7090 - 2074. Let o be ((481698/(-16))/3)/2. Let b = o + j. Find the common denominator of -40/9 and b.
144
Find the common denominator of (2/(-20))/(900/16600) and -14/15.
45
Suppose -3*r - 12747 = -28*s, 5*s - 12*r - 2259 = -9*r. What is the least common multiple of 456 and s?
456
Let p(v) = v**2 - 6*v - 5. Let l be p(7). Suppose -l*r - 8247 = -3473. Let o = r - -38155/16. Find the common denominator of o and 119/18.
144
Let a(c) = 3*c - 26. Let n be a(14). Calculate the common denominator of 30/n*312/(-18) and (-8)/6*235/80.
12
Let s(t) = t**3 - 8*t**2 + 5*t + 20. Let i be s(7). Calculate the lowest common multiple of 8 and ((-40)/i)/((-58)/87).
40
Let d = -8/2453 - -169337/24530. Let g(j) = j + 7. Let v be g(-5). What is the common denominator of 11*v/14*1 and d?
70
Suppose -2*o + 6*o - 37 = -y, -2*o + 2*y + 26 = 0. Calculate the least common multiple of 25 and o.
50
What is the common denominator of 43/8 and 24465/4026 + (-11 - (1 - 6))?
5368
Let i = -137728253/4495545130 + 2/2598581. Calculate the common denominator of i and 57/1211.
12110
Let y = 5670267/7199120 - 12/89989. What is the common denominator of y and (2/80)/((-12)/(-230))?
240
Let u = -17 - -14. Let i = 3 - u. Suppose -128 = 65*v - 81*v. What is the smallest common multiple of v and i?
24
Let t be ((-1)/10)/((-6)/(-5381)). Let j = 433/5 + t. Calculate the common denominator of -4*(-36)/16 - (-232)/145 and j.
60
Calculate the lowest common multiple of (-107532)/(-26) + -2 + (7 - 356/52) and 14.
28938
Let a be (-15)/35 - 21433959/20790. Let b = a + 11414/11. What is the common denominator of b and 47/6?
30
Let x = -5300609/2776 - -30551/16. Calculate the common denominator of x and -91/12.
16656
Let o(q) be the first derivative of -7*q**2/2 + 40*q + 500. Let h(n) = 4*n**3 - 4*n**2 + 2*n. What is the smallest common multiple of o(0) and h(2)?
40
Let a = 43892651/335 - 131023. Calculate the common denominator of a and -87/10.
670
Calculate the common denominator of 91/6474*(2 - (-184)/(-16)) and 25/2324.
6972
Let k be 5 + 1 + (-8523)/78. Let t = k + 39393/494. Let b = t + 3293/228. Calculate the common denominator of b and 26/9.
36
Find the common denominator of -17/420 and (-12)/176*-32*(-3)/27.
4620
Let s = -56/47 - -6775/282. Suppose -5*q = -4*t + 128, 3*t = 3*q + 2*t + 74. Find the common denominator of 1/(-3) + 65/q and s.
24
Suppose -3*h + 7256 = -3*t - 1417, -t + 3*h - 2889 = 0. Let u = t + 28897/10. Calculate the common denominator of (4/(-30))/((-117)/390) and u.
90
Let v = -28937/10881 + 12/403. Find the common denominator of v and -101/282.
2538
Let d be 9/18 + 5/2. Calculate the common denominator of -49/48 and (-2)/((-44)/d)*(-1066)/(-156).
528
What is the common denominator of 103/144 and (1/18)/(26/(-2470))*(-14)/(-80)?
144
Let m = -4579111/140 + 325179/10. Let f = m - -1340/7. What is the common denominator of -67/4 and f?
28
Let t(x) = -x**2 - 20*x - 84. Suppose -h = j + 7, 3*j = -4*h - 2*j - 27. Calculate the lowest common multiple of 130 and t(h).
780
Let d = 58 + -48. What is the common denominator of -85/6 and (-1)/d + (335/100 - 6)?
12
Let p be 4/(-42) - (-1247662)/987. Let s = -1260 + p. Let b = 55 - 15. Calculate the smallest common multiple of s and b.
40
Let u = -31068 + 31089. Calculate the lowest common multiple of 3765 and u.
26355
Let s = 3051 - 3002. What is the lowest common multiple of 343 and s?
343
Let d = 32863/86889 + 3/5266. What is the common denominator of d and -117/440?
1320
Let n = -161913067 + 7285640686/45. Let d = n + 9939. Calculate the common denominator of d and -43/50.
450
Let a(u) = u**3 - 2*u**3 - 20*u**2 - 18 - 4*u**2 - u + 16. Suppose -i + k + 4 = 0, 0*k - 3*k = -4*i + 14. Calculate the least common multiple of a(-24) and i.
22
Suppose -2*o = 3*o - 20. Suppose -2*k - k = -6. Calculate the least common multiple of o and ((-144)/(-84))/(k/14).
12
Calculate the common denominator of -151/2016 and -23*(-16)/184 + 3/(-33).
22176
Let n(z) = z**3 + 25*z**2 - 13*z + 27. Calculate the smallest common multiple of 132 and n(-25).
1056
Let w(r) = 1461*r**2 - 6*r - 