
18
Let t = -1441/60 + 118/5. Let k = 3263 + -39133/12. What is the common denominator of t and k?
12
Suppose -2*y = y - 4*j - 118, -4*y = -5*j - 156. Let s(b) = 22*b**2 - 133*b + 18. What is the lowest common multiple of s(6) and y?
204
Let b be (-2)/(-11) - -1*(-1109)/(-11). Let n = -104 + b. What is the least common multiple of n/12 + 258/8 and 24?
96
Let v = -537849/32 - -16805. What is the common denominator of v and ((-105)/2)/(((-2)/(-2))/(122/(-9516)))?
416
Let p = 6 - -14. Let q(a) = 6*a**3 - 4*a**2 + 4*a - 2. Let k be q(2). Let t = -18 + k. What is the smallest common multiple of t and p?
20
Let h(w) = -32*w - 349. Calculate the common denominator of -57/52 and h(-10).
52
Suppose -2*m - 38 = -3*m. Suppose 4*s = 5*s - 22. Let b = s - 6. What is the lowest common multiple of b and m?
304
Suppose 10*j = 83*j - 8760. What is the least common multiple of j and 471?
18840
Let h(w) = w**3 + 20*w**2 + 19*w + 4. Suppose t - z = -17, -3*t + 2*t = 2*z + 23. Calculate the lowest common multiple of h(t) and 16.
16
What is the common denominator of 13/60 and (39/(-18))/((-11)/((-858)/120))?
120
Let x = 17 - -32. Let n = 35 - x. Let g(z) = z**3 + 14*z**2 - 2*z - 18. What is the lowest common multiple of 9 and g(n)?
90
Let o = 13 - 208/15. Find the common denominator of o and 1785/459*((-6)/(-8))/1.
60
Calculate the common denominator of 71/32 and 2091/(-680) - (-30)/48.
160
What is the common denominator of -2 - (16/(-88) + (59870/(-21252) - -1)) and 7/2?
966
What is the common denominator of (-9)/(225/(-10)) - (13705/2450 + -4) and 121/252?
1764
Let m be 1/((-2)/(-12)) + 6499/(-402). Let t = 335/12 + m. Find the common denominator of 73/357 and t.
1428
Suppose 4*q = -2*s - 30 + 184, -q = 3*s - 36. Calculate the smallest common multiple of q and (2 + -99 - -16)*(0 - -1)/(-3).
351
Let q = -353982704 + 72562480204/205. Let w = -19386 - q. Find the common denominator of w and 41/9.
1845
Let z = 489835/8 - 61324. Let c = 90 + z. Calculate the common denominator of c and -6 + ((-21)/(-24))/(-7).
8
Let k = -9/268 + -13051/2412. Calculate the common denominator of k and -55/2004.
6012
Suppose -5*l - 1434 = 2*s + 1191, 1305 = -s - 5*l. Find the common denominator of 109/78 and (-9229)/s + 6/45.
312
Let k = 65184 - 27638049/424. Calculate the common denominator of k and -43/32.
1696
Let u be 12 + -9 + (-5)/((-5)/2). Let f = u - -7. Calculate the least common multiple of 1*((-28)/(-4) + 1) and f.
24
What is the common denominator of -1 - 6/(-8)*6 and 3 + (-48146)/2086 + 20?
298
Suppose -13*a + 20*a = 189. Suppose 0 = p + 6*q - 8*q, -3*q = 3*p - a. What is the least common multiple of p and 42?
42
Let i = 24/97 - -9653/582. Find the common denominator of i and -1/2208.
2208
Let u = 18 - -32. Let o = 269 + -249. Calculate the least common multiple of u and o.
100
Suppose 0 = -31*u + 64*u - 1815. Let b = 23 + -8. What is the smallest common multiple of b and u?
165
Let m be 7/84*-8 + 10471/(-9). Let l = -1163 - m. What is the common denominator of 41/35 and l?
315
Suppose 20 = 17*j - 7*j. Suppose -3*q + 337 = -5*c + 10*c, 0 = -3*c - j*q + 202. Calculate the lowest common multiple of c and 52.
884
Let c = 410108/15 + -27340. Find the common denominator of 187/300 and c.
300
Suppose 16*n - 24*n + 32*n - 6360 = 0. Calculate the smallest common multiple of 106 and n.
530
Calculate the lowest common multiple of (8/10)/((-10)/(-25)) and -3*(123/(-36) + (-1)/4).
22
What is the common denominator of (-6)/(-4) - (-188)/(-70) and ((153/189)/17)/(22/(-150))?
770
Let c = -18830 + 564827/30. What is the common denominator of -71/129 and c?
1290
Let t(z) = z + 17*z + 66 - 2*z + 35*z. Let a be t(16). Let x = -8769/10 + a. Calculate the common denominator of x and -22/151.
1510
Let o(k) = 5*k - 11. Let j be o(-7). What is the common denominator of (-3)/20*(j/(-108) - 2) and -79/12?
72
What is the smallest common multiple of (-112 + 136)*90/4 and 486?
4860
Suppose 2*i = -5*v + 11028, 0*v = i - 5*v - 5514. What is the least common multiple of 2 and i?
5514
Let l = -1608 - 2290. Let x = 31255/8 + l. Calculate the common denominator of x and 3/(9/(-2))*31.
24
Let k(v) = 81*v - 311. Let h be k(6). Find the common denominator of -63/10 and 3 - -1 - 905/h.
70
Let j be ((-100)/30*-1)/((-1)/(-258)). Suppose 1103 = 9*f + j. Calculate the least common multiple of 6 and f.
54
Let k(p) = -p**3 - 15*p**2 + 70. Suppose -2 = 2*n, 2*w - 4*w - 5*n + 15 = 0. Calculate the smallest common multiple of k(-15) and w.
70
Calculate the lowest common multiple of (-8)/(((-182)/(-117))/(-7)) and 120.
360
What is the smallest common multiple of 2 and 12/(-30) + 0 + (-160)/(-25)?
6
Let y be ((-54)/(-12) - 2)*2/5. Let k be (60/18 + (-2)/(-3))/y. Suppose -k*x + 18 = 14. What is the smallest common multiple of 3 and x?
3
Let r = 451595 + -2703203/6. Let k = -1065 + r. What is the common denominator of ((-1820)/(-32))/5*((-380)/35 + 10) and k?
12
Suppose -2*k = -4*j + 18, 0 = 8*j - 3*j + 2*k. Suppose -f = -0*f. Suppose j*h - h - 18 = f. What is the least common multiple of 10 and h?
90
Let z(p) = 30*p - 3. Suppose -2*h - 10 = 2. Calculate the lowest common multiple of z(1) and 5 - h - 1/(-1).
108
Let v = 230 + -189. Calculate the smallest common multiple of v and (-1)/(3/(-6)) - (-3)/3.
123
Let q be 9248/48*79/(-4). Suppose -5*s = -2*y + 6*y + 15246, -y = 4*s + 3806. Let i = y - q. Find the common denominator of i and 35/6.
6
Suppose -5*y + 22 = 2*a, 0 = 4*a - 2*a + 4*y - 20. What is the common denominator of a/2 - (-272)/(-88) and -89/62?
682
Let u = 3022 + -27256/9. Calculate the common denominator of u and 7/271.
2439
What is the smallest common multiple of 8*9*(-126)/84*5/(-6) and 186?
2790
Suppose -2*s = s + 3*c + 36, -c = -4*s - 43. Let o = -6200/9 + 4121/6. Calculate the common denominator of o and (s/(-33))/((-1 - 0)/(-17)).
18
Let l = 403389677/680 + -593220. Calculate the common denominator of -27/1564 and l.
15640
Suppose 64 = 223*q - 221*q. Suppose 5*c = -5*h + 220, 140 = -0*h + 4*h - 5*c. What is the lowest common multiple of q and h?
160
What is the least common multiple of 20 and 28/8*-1*76/(-133)?
20
Suppose -1834 = -q + 6*p - 4*p, 1855 = q - 5*p. What is the least common multiple of q and 168?
10920
Let t = -15627 + 812709/52. What is the common denominator of 1*12/(-104)*90/297 and t?
572
Let y = 560 - 632. Find the common denominator of (-62)/15*18/(-48) and (-2)/(-9) + (-362)/y.
20
Let b be ((-467)/2)/((-6)/(-12)). Let z = b + 12157/26. What is the common denominator of 31/(-2)*(8 + 176/(-24)) and z?
78
Suppose 2*a - 1 = 1. Suppose 5*z - 669 + 664 = 0. Calculate the smallest common multiple of (26 - (z + 3))*a and 16.
176
Find the common denominator of (1/3)/((-13870)/1995) and -5*(-12)/(-15) + 86/(-16).
584
Suppose 0 = -81*p + 5200 + 5249. Calculate the lowest common multiple of 258 and p.
258
Let q = 62 + -77. Calculate the common denominator of -109/60 and (-149)/4*(-2)/q.
60
Suppose -5*u - 2*q = -271, 570*u = 567*u + 4*q + 173. What is the lowest common multiple of u and 265?
2915
Suppose 2*x = 69 - 63. Suppose x*g + 16 = 10. Find the common denominator of 3/40 and (-1 - (-85)/(-10))/(g/(-5)).
40
Let g be -184 + (-11 - -5 - -7). Let n = g + 227. Calculate the least common multiple of 36 and n.
396
Suppose 66*c - 64*c + 8840 = 0. Let s = c + 3907277/884. Let u = s + -55223/7956. Calculate the common denominator of u and 1/10.
90
Let a(w) = w**3 + 4*w**2 - 6*w - 7. Suppose 4*d + 0*v + 16 = v, 3*d + 4*v - 7 = 0. What is the lowest common multiple of 30 and a(d)?
60
Let f(i) = -6*i**2 + 34*i - 12*i - 19*i**2 - 17 - i**3 - 24*i. What is the least common multiple of 21 and f(-25)?
231
Suppose 5*u - 2*w - 6116 = 0, 0*u + 5*w = 3*u - 3662. What is the common denominator of -19/10 and ((-17)/u)/(1/(-166))?
180
Let c be (-49043354)/392 + (-2)/8. Let u = c - -125112. Find the common denominator of (16/(-56))/((-704)/(-9296)) and u.
1078
Suppose -29*t + 24*t + 55 = 0. Let m be t/1 + (1 - (0 - -4)). What is the least common multiple of 24 and (m/10)/(2/110)?
264
Find the common denominator of 0 + 2/(-29) - 5/(380625/(-4757)) and -91/40.
21000
Let n = 3283 + -3265. Calculate the least common multiple of n and 3816.
3816
Let k be 88/14 + (-4)/14 - 2. Suppose -4*u - k*y = 6436, 3*u + 3*y - 4*y = -