972. Find the common denominator of t and -77/160.
1120
Let i = 152533/120 - 6387/5. Find the common denominator of 1318/224 - 44/77 and i.
48
Suppose -h + 4*h = 45. Suppose -3*o = -x - 304, -o - 3*o + x + 404 = 0. Suppose 12*t = 32*t - o. Calculate the least common multiple of t and h.
15
Calculate the common denominator of 93/(-228) - 25/(2100/(-24)) and -41/684.
4788
Suppose -6*n = -5*n + 10. What is the common denominator of ((-2136)/(-80))/(24/n) and (-137)/(-112) - (-18)/(-63)?
16
Let f be 30170/2085 - 4*(-3)/24. Let d = f + 120/139. What is the common denominator of d and 30?
6
Suppose -v + 13 = 3*c, -3*v + 5*c + 81 = -v. Suppose 7*r - 3*r = v. Suppose r*g + o - 25 = 2*g, g - 29 = -5*o. What is the lowest common multiple of g and 18?
36
Calculate the common denominator of -81/2116 and 8800/605 - (3 - -10).
23276
Find the common denominator of (-1851)/924 + (-80)/(-440) and 37/136.
952
Let v = -234 + 482. Let m = -238 + v. What is the smallest common multiple of m and 148?
740
Suppose -30*q = -186 - 1314. Suppose 4*k = 66 - q. What is the smallest common multiple of 135 and k?
540
Let v = 1243218330 + -10850809491509/8728. Let x = -1/2182 - v. What is the common denominator of 49/198 and x?
792
Calculate the common denominator of -151/18024 and (129/(-33) - -4) + (290997/770)/(-31).
90120
Let x be ((-132)/9)/(25/(-10) + 2). Let z = -49530/11 - -147646/33. Let a = x + z. What is the common denominator of -15/8 and a?
88
Suppose 23*z = -100*z - 17*z + 4200. What is the lowest common multiple of z and 345?
690
Let h = 30457/10 + -3049. Calculate the common denominator of h and -67/80.
80
Let d be (35/(-18))/(-5)*1377067/(-287). Let j = 1864 + d. What is the common denominator of 1/18 and j?
18
Let m be -2 + (-4)/(-2) - (-88)/22. Suppose 2*y + o = 93, m*o + 57 = -5*y + 297. What is the least common multiple of y and 40?
440
Let g(u) = u**3 + 10*u**2 - 10*u - 49. Let a be g(-7). Let q = -158 + a. What is the lowest common multiple of 70 and q?
70
Suppose 45*h - 163584 = 13*h. What is the smallest common multiple of 781 and h?
56232
Suppose 4*f - 29 = -9. Suppose -z - f = -0, 27 = -r - 5*z. Find the common denominator of 127/24 and (-16)/(-8) + r*57/144.
24
Let m(r) = 10*r**2 + r - 1. Let a be m(2). Suppose -d - a = -2*x + 4*d, 3*d = 9. Find the common denominator of -7/5 and (-28)/(-112) - (-17)/x.
35
Let n = -8/5986424463 + 1168240756838153/192918514744638. Let g be -2*((-902321)/(-225582) + -4). Let m = n - g. What is the common denominator of m and -25/44?
396
Let d = 3308875/81 + -40851. Let v = -956/9 - -1582/15. Calculate the common denominator of v and d.
405
Suppose 3*a + d - 84 = 0, -6*d + 11*d - 270 = -10*a. What is the least common multiple of a and 270?
270
Let v = 18695 - 747881/40. Find the common denominator of (16 - (21 + -11)) + (4 - (-2540)/(-288)) and v.
360
What is the common denominator of 111/20 and (-41)/((99/396)/((-2)/(-1648)))?
2060
Suppose n = 5*s + 113, s = -4*n + 3*s + 506. Suppose -54*q = -58*q + n. Calculate the least common multiple of q and 20.
160
Let n(r) = -r + 2. Let h be n(2). Let o = 9 + h. Calculate the least common multiple of (3/6)/((6/(-36))/(-1)) and o.
9
Let t = 1135 + -2579. Let m = t - -11589/8. Find the common denominator of -1/28 and m.
56
Let o(p) = 2*p**2 + 7*p - 46. Let z be o(0). Let a = 49 + z. Calculate the smallest common multiple of a and 11.
33
Suppose 38*w + 63 = 35*w. Calculate the lowest common multiple of (-3)/w - (-12)/14 and (-10)/(-35) - 192/(-14).
14
Let j(u) = u**2 - 18*u - 17. Let y be j(19). Suppose -2*v = 5*i - 57, -y*v = 3*v + 4*i - 168. Calculate the least common multiple of v and ((-8)/14)/(2/(-98)).
252
Suppose -s = -3*u + 23, 86*u - 2*s - 18 = 84*u. What is the smallest common multiple of u and 285?
1995
Let p = 304019/424 - 6050/53. Let k = p - 599. Find the common denominator of -57/7 and k.
56
Suppose -71*z = -76*z + 6*m + 38, 4*z + 3*m - 46 = 0. Calculate the lowest common multiple of z and 9993.
99930
Let g = 15/206 + -1737/515. Let s = -3197411/2180 - -20547/218. Let v = s - -1376. What is the common denominator of v and g?
20
Suppose 0*m - 4*u = -m - 22, -29 = 2*m - 3*u. Let w(k) = k**3 + 9*k**2 - 14*k - 25. What is the smallest common multiple of w(m) and 6?
30
Find the common denominator of 139/162 and (-13908)/594*10/120 - 2/(-1).
1782
Let g = 383479/8 - 47923. Find the common denominator of g and (-2)/(-6) - 31/20.
120
Suppose 175 = 7*i - 5*i + 5*h, 2*i - h - 169 = 0. Suppose -t + i = 3*y, 0*t - 67 = -t + 3*y. What is the lowest common multiple of 19 and t?
76
Let z = 1366 + -1358. Calculate the least common multiple of z and 32*(12/18 + (-2)/12).
16
Let m = -2306736801/34 + 67850766. Let g = -5567 + m. Let d = -172 + 212. What is the common denominator of d and g?
34
Let z = 7013/3 + -2359. Suppose -40*o = -20*o - 7240. What is the common denominator of z and o/(-36) + 336/96?
9
Let l(s) = 9*s**2 + 75*s - 6. Suppose 3*m + 31 = -2*d, -d - 2 = -0*d. What is the least common multiple of 24 and l(m)?
48
Let h = -508 - -506. What is the smallest common multiple of h - 0 - (-2 + -66 - -3) and 77?
693
What is the smallest common multiple of 133 and 35/(455/936) + (-2 + 3 - 3)?
1330
Let u be 3616*((-1052)/(-264) - 4). Let p = u + 1233/22. Calculate the common denominator of -59/12 and p.
132
Let h(c) = -2*c**3 - 16*c**2 - 34*c - 12. Let x be h(-6). Calculate the common denominator of 63/25 and 1*(-51)/210 - x/(-32).
175
Suppose 136920 = 12*q + 8*q. Let b = q + -109461/16. What is the common denominator of b and -21/40?
80
Find the common denominator of -1/2060 and ((-438)/(-48)*2 - 3)*(-10)/(-125).
10300
Find the common denominator of -17/224 and ((-1374)/240 - -9) + 4/(-8).
1120
Suppose 0 = 5*s - 5*q - 865, -5*s + 454 = -2*q - 402. Calculate the lowest common multiple of s and 34.
170
Let w be 112/12*(-24)/(-1168). Let c = 170/2409 - w. Calculate the common denominator of c and -58/21.
231
Let x(f) = 4*f - 100. Let d be x(21). Calculate the common denominator of (-2)/20 - ((-24)/3 - d) and 95/16.
80
Let p(s) = -s - 18. Let m be p(-19). Let z be 3*(2 + (0 + m)/(-1)). Suppose -z*g + 39 = -3. Calculate the least common multiple of g and 18.
126
Calculate the common denominator of 1356/(-5184) + (-1)/(-4) and -35/2.
432
Let u(z) = 13*z**2 - z**3 - 8*z**2 + 8*z**2 + 32 + 15*z - 2*z**2. What is the lowest common multiple of 2 and u(12)?
68
Let i(a) = -2*a**2 - 5*a - 8. Let n be i(4). Find the common denominator of -81/4 and (-1 - 292/n)*5/52.
156
Let a(j) = 2*j - 20. Let m be a(9). Let g be 2*(-2)/(-18) + 1550/(-90). Calculate the lowest common multiple of (-85)/g - (m - -3 - 5) and 2.
18
Let r = 1210299/191728 - 1/11983. What is the common denominator of r and (-2)/(-5) + (-219)/(-140)?
112
Let u = -27 - -30. Let s = -198/35 + 2687/840. Calculate the common denominator of u/189*15*-13 and s.
168
Suppose 18*h - 25*h + 21 = 0. What is the smallest common multiple of 74 + 60/(-10) + (h - 1) and 14?
70
Let s = 246/1603 - 29272/104195. What is the common denominator of 4/65 and s?
455
Let x(j) = 1456*j - 7278. Calculate the least common multiple of x(5) and 5861.
11722
Calculate the least common multiple of 585 and (-1)/((-38)/(-4)) + (-27675)/(-285) + 2.
6435
Let t be 54444/(-16) + 4/(-16). Find the common denominator of (t/(-123))/((-340)/6) and 54/5.
170
Let x = -7/1754 - -87313/122780. Calculate the common denominator of x and -113/420.
420
Let l(n) = 93*n - 3552. Calculate the smallest common multiple of 336 and l(40).
336
Suppose 0 = 144*z + 4519 - 14887. Calculate the lowest common multiple of 688 and z.
6192
Suppose -49 - 5 = -29*i + 4. Let w be (2/5)/((-3)/(-15)). Suppose -w*a - 2*y + 2 = -16, -3*a = 5*y - 37. What is the lowest common multiple of a and i?
4
What is the lowest common multiple of (1/(-2))/(5 + 0) - 16004/(-40) and 200?
400
Let r be (-33926)/(-33) - 4/(-6). Let h = 6155849/5984 - r. Let v = h - 4201/1632. Calculate the common denominator of -137/12 and v.
12
Suppose 24*s - 16*s - 5*s = 6300. What is the smallest common multiple of 40 and s?
4200
Let p(z) = -2*z**2 - 15*z + 28. Let x be p(-9). Calculate the smallest common multiple of (-35)/(-2 + x)*(-89 - -90) and 21.
105
Suppose 3*c + l + 0*l = -91324, -30420 = c - 5*l. Let x = -608923/20 - c. 