the common denominator of ((-11)/(1056/(-8)))/((-4645)/(-1480)) and -70/177.
164433
What is the smallest common multiple of (-17544)/(-85)*(-9)/6*-5 and 1204?
10836
Let o = -911/35 - -20507/770. What is the common denominator of o and (1635/70)/(1 - -5)?
308
Let r = -1414/3385 + 12/677. Find the common denominator of r and -27/3052.
15260
Let k(l) = -2 - 10 + 4*l**3 - 3*l**3 - l**2. What is the lowest common multiple of k(5) and 8?
88
Suppose 2*g - 79 = -q - 27, -4*g = q - 58. Let s = 58 - q. Suppose 0*n = 5*n - 60. Calculate the least common multiple of n and s.
12
Let k(t) = -7*t**2 - 52*t - 69. Calculate the least common multiple of 24146 and k(-5).
193168
Let a = -2/16965 + -562/1305. Find the common denominator of a and 35/4537.
22685
Let d be (18/4)/(21/42). What is the least common multiple of 3 and 33 - d/2*(-2)/(-3)?
30
Let p = 6683/24 - 274. What is the common denominator of (-45)/(-14) - (-1)/(-2) and p?
168
Suppose -4*r - o + 616 = -r, 4*o = -8. Suppose r = -6*v - 94. Let m = v - -94. What is the smallest common multiple of m and 6?
132
Let g(b) = 15*b**2 - 802*b + 62. Calculate the lowest common multiple of 247 and g(54).
494
Let o(b) = 6*b + 8. Let p be o(-7). Let w = p - -38. Calculate the lowest common multiple of (12/(-18))/(w/(-18)) and 6.
6
Suppose 0 = 5*i - 25, p - 55 = -2*p - 2*i. Let x = -746/15 - -50. Calculate the common denominator of (-4)/p*1*564/(-96) and x.
30
Find the common denominator of 882441/(-96570) + 1 + 8 and 63/1480.
1480
Let y = 557887/38 + -14683. What is the common denominator of y and -59/2?
38
Let x be ((-4)/(-120)*122)/(4/1124). Let y = x - 1144. Let r = -9847/9 + 1088. Calculate the common denominator of y and r.
45
Suppose 4 = -3*o + 16. Let u(q) = -q**2 + 1 - 517*q - o*q**3 + 517*q. Calculate the lowest common multiple of u(-1) and 10.
20
Suppose -147*q + 144*q + 63 = 0. Let s be 2/1 + -18 + -4. Calculate the smallest common multiple of q and s/(-2)*9/3.
210
Let v = -823 - -829. Calculate the lowest common multiple of (40/v)/(-5 - 64/(-12)) and 44.
220
What is the common denominator of -1 + -9 - 8/(-20) and (20/(-70))/((-1344)/13818)?
80
Let d(w) = w**3 + 19*w**2 - 63*w + 128. What is the smallest common multiple of 7 and d(-22)?
434
Let t = 152141115/67 - 2270171. Let k = t + -592. Let u = 2547/737 - k. Find the common denominator of u and 37/3.
33
Let l = -15073/81 - -186. What is the common denominator of (-12)/(-54) - 2/(-54) and l?
81
Let x = 98931/10 - 9901. Let i = 4290659/591 + -7260. Let c = 7676/4137 - i. What is the common denominator of c and x?
70
Let n = -174 - -348. Suppose 4*g - f = n, 0 = -2*g - 0*f + f + 88. Suppose 5*j - 40 = b, -g = 3*j - 7*j + 3*b. What is the lowest common multiple of 4 and j?
28
Calculate the common denominator of 1*((-1015)/1008 - -1) and 161/180.
720
Suppose -38 = 2*h - 3*h. Suppose 4*i - q = 160, -q + 80 = -i + 3*i. Suppose 0 + i = 5*x. Calculate the least common multiple of h and x.
152
Let i = -71 - -89. Let t be i + (5 - (3 + -1)). Let f(c) = c**3 - 21*c**2 + 24. Calculate the least common multiple of f(t) and 6.
24
Let x = 456185069/2442 + -186808. Calculate the common denominator of 161/660 and x.
24420
Let d be 4 - 7755/(-537)*144/(-520). Let w = d + 16257/37232. Calculate the common denominator of 25/6 and w.
48
Suppose 6*f = 3*f + 78. Suppose 64 = 315*z - 283*z. Calculate the least common multiple of z and f.
26
Let u = 393870 - 389931349/990. What is the common denominator of 167/660 and u?
1980
Suppose 24*c - 46*c = -286. What is the lowest common multiple of 93 and c?
1209
Let s = 101761 - 6614524/65. Find the common denominator of s and 213/(-225)*3/2.
650
Let o be 78022/20 + 0 + 0. Let m = -3898 + o. Calculate the common denominator of 97/1*4/32 and m.
40
Suppose -4*v = -2*i - 516, v = -4*i + 126 - 15. Suppose v*n + 42 = 128*n. What is the lowest common multiple of n and 6?
42
Suppose 11*v - 4*w = -271 + 728, 64 = 2*v + 2*w. Let h(x) = x**3 - x + 3. Calculate the lowest common multiple of h(3) and v.
351
Suppose -x + 14*s - 16*s = 134, 4*x + 525 = 3*s. What is the common denominator of 2*3 + x/(-216) and -20/21?
126
Let w be ((-4)/3 + 2)*3. Find the common denominator of (-278)/72*(-3)/w and 51/22.
264
Let p = -1/90 - 3539/1440. What is the common denominator of 69/8 and p?
32
Let c = -77999 - -56159341/720. What is the common denominator of 149/540 and c?
2160
Let k = -14998/23 - -18178657/27876. What is the common denominator of 37/36 and k?
3636
Suppose 2*i + 430 = -3*m, 8*i + 626 = 5*i + 5*m. Let n = i + 237. What is the smallest common multiple of n and 5?
25
Calculate the least common multiple of 318 - ((-86)/215)/(2/(-30)) and 12.
312
Let q = 6731013/539 + -12488. What is the common denominator of 95/308 and q?
2156
Suppose -2*y = 0, 4*l + 5*y = 3*y + 16. Suppose -g = -l*g - 84. What is the smallest common multiple of 22 and (g/3)/((-4)/12)?
308
Let h = 781961/35 - 22340. Calculate the common denominator of h and (-390)/(-234)*(-42)/22.
385
Suppose -30 = -5*r - 3*v, 0 = r + 7*v - 4*v - 18. Suppose -23*y - r = -22*y. Calculate the lowest common multiple of (-1)/((-1)/3) - (y - -4) and 12.
12
Suppose -4*s + 12*s = 80. What is the smallest common multiple of s and (99/6)/((-14)/(-56))?
330
Suppose w = 0, 0*t + t = -5*w + 10. Calculate the common denominator of (-3)/t + (-1092)/(-90) and -43/27.
54
Let k = 297 + -183. What is the common denominator of ((-12)/(-180))/(4/357) and (-589)/k*(-1 - 13/(-10))?
20
Suppose -30 = r - 6. Suppose 1 = -w + 3, 2*l - 2*w + 46 = 0. What is the lowest common multiple of 43 and r/18*l/4?
301
Suppose -2*v + 27 = -5*v. Let g be (56/(-700)*5)/(2/(-60)). Calculate the common denominator of 34 and (15/v)/(22/g).
11
Let u be (-44)/12 - 2/6. Find the common denominator of -41*((-16)/2 - 119/(-14)) and u/(-16) + 38/16.
8
Suppose -102*j + 80 = -532. What is the lowest common multiple of 1/(-4) + 702/24 and j?
174
Let y(i) = -153*i - 6. Let a(h) = -152*h - 5. Let p(k) = 7*a(k) - 6*y(k). Let w be p(-5). Let q = w - 10215/14. Find the common denominator of 23/2 and q.
14
Let g = 6592 - 4772. Calculate the smallest common multiple of g and 1456.
7280
Let o = -3437 - -5459. Calculate the least common multiple of o and 2.
2022
Calculate the common denominator of 127/588 and -5 + (1/28)/(1/(-4767)*-18).
1176
Suppose -504 + 189 = -15*z. Let x(f) = f**2 - f + 2. Calculate the smallest common multiple of x(-3) and z.
42
Suppose 6337 = 76*u + 10100 - 38723. What is the smallest common multiple of u and 200?
4600
Let z = 20743 + -14363. Calculate the least common multiple of z and 6380.
6380
Let y = 10 + -22. Let h(g) = -g**3 - 13*g**2 - 14*g - 5. Let z be h(y). Suppose 11 = 5*i - l - z, -i - 2*l = -6. What is the lowest common multiple of i and 16?
48
Let r = 177 - 93. Suppose 27*g - r = 15*g. What is the smallest common multiple of 19 and g?
133
Suppose 2*o = -0*o + 14. What is the common denominator of (5 + (-309)/135)*(-2)/(-4) and (-1 - 9/(-15))/((-4)/o)?
90
Let c be (-800)/(-868) + (-7 - -1 - -5). Let d = c + -11246/3255. What is the common denominator of d and -61/230?
690
Calculate the common denominator of 95/36 and -1*2 - (23 - (-17988)/(-720)).
180
Suppose -63*f + 29347 = -24179 + 16797. What is the smallest common multiple of f and 159?
1749
Let j be 5 - ((-10)/12 + 30/(-180)). Suppose 0*a + 114 = j*a. What is the smallest common multiple of a and 17?
323
Let t be (5 - (-15)/(-5))/4*8. Suppose 0*r + 3*g - 27 = -r, -4*r + 116 = t*g. Calculate the smallest common multiple of r and 33.
330
Let u = -5/61919 + -1544255/46067736. What is the common denominator of u and (-34)/8 - (-1)/(-2)?
744
Suppose 2*h + 57 = 9. Let x = h - -27. What is the least common multiple of ((-3)/9 - 0)/(x/(-72)) and 38?
152
Suppose 98*q + 97*q - 26642 = 22*q. What is the smallest common multiple of 3146 and q?
22022
Let t = -1720525/174232 + -2/21779. Let i be 676/14 - (-6)/(-21). What is the common denominator of (-262)/(-14)*(-56)/i and t?
24
Suppose -16*i - 3 = -19*i. Suppose -3*g - 2*s = -11, -g - i = -7*s + 3*s. Calculate the lowest common multiple of g and 7.
21
Let b = 31 + -22. Suppose 7*x = b*x - 64. Let h(y) = 2*y**2 - 25*y + 103. Calculate the lowest common multiple of h(5) and x.
224
Let k be 1/2*(-367060)/(-90). Let r = 2034 