le of x and 9?
72
Calculate the common denominator of 58/161 and 622/392*(-49)/(-42) + 4/24.
1288
Find the common denominator of (-3 + 618/154)*6/12 and -67/280.
3080
Let r(z) = -10*z**2 + 38*z - 4. What is the smallest common multiple of 7122 and r(3)?
71220
What is the common denominator of -7/660 and ((-1448)/640*2 - (-1)/4)/(-66)?
2640
Let w = -1232/17 - -92876/1275. What is the common denominator of 6/(-10)*(-24)/26 and w?
975
Let o = -1067441/469240 + -2/11731. Calculate the common denominator of o and (-10)/20 - (-77)/40.
40
Let p be (2 - (-6)/(-4))/((-8)/(-11632)). Let j = p - 1367/2. Let h = 36939/4280 - 3/535. Calculate the common denominator of h and j.
8
Suppose 0 = 15*n - 25*n - 4670. Let h = n - -468. Calculate the least common multiple of h and 211.
211
Let t = -3354 + 26875/8. Let z be (2/10)/(-4*6/120). What is the common denominator of t and ((-8)/(-512))/((-4)/(-120)*z)?
32
Let k(o) = 24*o**3 - o**2 - 7*o + 8. Suppose 4*u = 2*d - 30, -u - 2*u + 36 = 5*d. Calculate the lowest common multiple of k(1) and d.
72
Calculate the least common multiple of 8 and (-4)/(-12)*-3 - (-3500)/28.
248
Let h be (1/(-6))/((-1)/190). Let f = h - 32. What is the common denominator of (-145)/(-350)*7 + -14 and f?
30
Let n be (-1)/((2/(-3588))/((-18)/36)). Calculate the common denominator of -101/22 and 4/(-32) + n/1848.
154
What is the common denominator of (-5)/4 - (-41013)/26068 and (183*(-6)/90)/(6/5)?
798
Suppose 2*q + 4*t + 38 = 0, -3*q + 6*t - 7 = 2*t. Let v = q + 11. Calculate the lowest common multiple of 318 and v.
318
Suppose 4*b - 5*i = 31 - 8, 4*i = 2*b - 16. Suppose -13*c + 330 = -b*c. What is the least common multiple of 4 and c?
60
Let u be ((-2204064)/456)/((-2)/(-37)). Let m = u - -89394. Let n = m - -2385/38. What is the common denominator of -97/6 and n?
6
Let d = -502 - -516. Suppose 259 = d*b - 77. What is the smallest common multiple of b and 8?
24
Let t = -51584417/270 - -191054. What is the common denominator of 37/190 and t?
5130
Let t be (2 + -1)*34 + 2. Suppose 60 - t = -8*j. What is the least common multiple of 44 and (-1)/(2/(j - 5))?
44
Let i = 46147/7 - 4845388/735. Calculate the common denominator of 113/56 and i.
5880
Let q = 510001 - 4582421/9. Let s = q + -842. Let x = 9367 - 281113/30. Calculate the common denominator of s and x.
90
Suppose p - 3*y + 20 = 2*y, 3*p - 4*y + 5 = 0. Suppose 10 = -p*m + 4*x, 0 = 4*m + x - 17 + 4. What is the smallest common multiple of 18 and m?
18
Suppose 0 = 3*j + 8*c - 56, 3*j - 43 + 15 = -c. What is the smallest common multiple of j and 221?
1768
Let n be 3/2 + -2 + (-75090)/20. Let b = n + 161451/43. Find the common denominator of -7/10 and b.
430
Suppose 33 = 2*d + 31, 2*f = -d + 1021. What is the lowest common multiple of f and 408?
2040
Let c = -28732/13 + 574761/260. What is the common denominator of c and -115/182?
1820
Let m = 190 + -128. Suppose 2*l = g - 54 + m, 5*l - 4*g - 20 = 0. Calculate the lowest common multiple of 21 and l.
84
Let n = 6224819/4317960 + 2/35983. Let a = -10075669/96 + 104956. What is the common denominator of a and n?
480
Let h(i) = -6*i - 33. Let m be h(0). What is the common denominator of -101/14 and m + -8*(5/10)/1?
14
Suppose -2*k - 126 = -5*k. What is the least common multiple of k and (-2 - -5) + 8 - 49/7?
84
Let a = 522/77 - 1993/231. Find the common denominator of a and (-424)/84 + 1 + 4.
231
Let f(w) = -w**3 - 13*w**2 - 21*w + 8. Let a be f(-11). Calculate the least common multiple of 20 and (-252)/27*(a - 6/(-4)).
140
Suppose -592071 + 80048 = 17*v. Let j = 241655/8 + v. Let o = j - 339/4. Calculate the common denominator of -17/36 and o.
72
Let i be 2/10 - 44/(-55). What is the least common multiple of i - (6 + -30) - 3 and 20?
220
Let i = 19058 + -95713/5. Let y be (2*19)/((-12)/30). Let k = y - i. Calculate the common denominator of -14/37 and k.
185
Find the common denominator of 3/640 and 279/(-44)*((-21)/(-4032) - 0).
14080
Suppose -18*h + 20*h = -4*s + 200, 5*h + 10 = 0. Suppose 12 + s = 9*p. What is the smallest common multiple of 7 and p?
7
Let p be 87/(-2)*(1 - 3/9). Calculate the common denominator of 6/(-78)*p/(-3) - 1 and -14/15.
195
Let d = -2/129931 - 16500973/17150892. Find the common denominator of d and -86/231.
924
Let j = -162 - -173. Suppose -3*c + j = 2*n, -4*c - 52 = -14*n + 10*n. What is the lowest common multiple of n and 4?
20
Calculate the common denominator of (28/5106)/((-76)/(-57))*195/(-35) and 99/518.
11914
Let z = -6150 + 6219. Calculate the smallest common multiple of z and 368.
1104
Let z = -436/19 + 661/76. Let p = -1346/9 + 25867/180. What is the common denominator of z and p?
20
Let u(n) = -2378*n - 221. Let j be u(-15). Let z = j - 3013128/85. What is the common denominator of z and -83/20?
340
Let q = 412 - 410. Suppose -147 = -2*a + 3*n, -2*a - 2*n = q*n - 112. What is the smallest common multiple of a and 180?
1980
Suppose n - 5*y + 1570 = 0, 2*n + 2*y + 0*y = -3092. Calculate the common denominator of 8/18*525/n and -20/3.
93
Let h(q) = -2*q**2 - 34*q - 70. Let g be h(-15). Find the common denominator of (-3)/(1958/2244 + g/6) and 181/240.
720
Let r = -18 + 17. What is the smallest common multiple of (-30)/105*98/(-10)*5 and r + 2*(-45)/(-10)?
56
Suppose -2*z - h + 258 = 0, -3*z - 26*h + 22*h = -402. Calculate the least common multiple of z and 168.
504
Calculate the least common multiple of 4 and -7*2/(-14)*810 - -2.
812
Let m = -1123674208545186733/14078005426806 + 4/44270457317. Let r = m + 79818. Calculate the common denominator of 22/21 and r.
2226
Suppose -89*a - 554 = -93*a - 2*y, 5*a - 712 = 4*y. Calculate the least common multiple of a and 360.
2520
Let x(j) = -2*j - 5. Suppose 6 = -6*s - 0*s. Let o be x(s). What is the common denominator of o + -42*(-15)/100 and -79/80?
80
Suppose -4 = -4*z, -l + 2*z = -3*l + 10. Find the common denominator of -99/284 and l - 1 - (5 - 85/(-70)).
1988
Let f(d) = -d**3 - 9*d**2 - 8*d + 15. Let u be 10/(-35) + 54/(-7). What is the lowest common multiple of f(u) and 27?
135
Let o = -331362518/63 + 7175235422/1365. Let c = o - -15696/5. What is the common denominator of c and -33/10?
1170
Let z = 3696173 + -26146727747/7074. Find the common denominator of 87/8 and z.
28296
Let q = -464103587/624 + 743756. Find the common denominator of -43/66 and q.
6864
Let z be ((-1)/(-3))/((-13)/(-1287)) - -3. Suppose -49 = -d - d + 5*s, 2*d + 5*s - 59 = 0. Let b = z - d. What is the least common multiple of 5 and b?
45
Let g = 164543/362656 - 32/11333. Calculate the common denominator of 27/56 and g.
224
Let s(t) = 6*t**2 - 94*t + 116. Let r(c) = 2*c**2 - 31*c + 39. Let h(u) = -17*r(u) + 6*s(u). What is the smallest common multiple of 25 and h(18)?
75
Let v(j) = j - 64. Let h be v(17). Let k = -13 - h. Calculate the lowest common multiple of k and 153.
306
Let c(k) = -k + 466. What is the smallest common multiple of 27 and c(10)?
4104
Suppose 68 = 3*o - 2*j, -j + 2*j = 4*o - 89. What is the least common multiple of 8776 and o?
96536
Suppose 0 = -5*n + 4*p + 2628, n - 1581 = -2*n + p. What is the least common multiple of n and 6240?
68640
Let p be (20/50)/(6/45). Suppose -76 = -3*d + 2*i - i, p*i + 12 = 0. Calculate the lowest common multiple of 24 and d.
24
Suppose 17*b - 131580 = -112*b. Calculate the lowest common multiple of b and 25.
5100
Suppose 5*s = 203 + 72. Suppose 4*n = -4*g + 5*g - 384, -2*g = n - 759. Find the common denominator of 59/2 and (g/s)/(3 + -1).
22
Let y = 5521 + -231755/42. Calculate the common denominator of -85/1806 and y.
1806
Suppose 0 = -5*r + x + 2*x + 12, 5*r = 4*x + 11. Let g be -30 - (r - 4) - -2. Let k = -9 - g. Find the common denominator of k and -111/10.
10
Suppose -126 = 3*m - 8*m - 3*x, 44 = 2*m - 2*x. Suppose 2*v - m = -0*v. Let u = 80921 - 80877. Calculate the lowest common multiple of u and v.
132
Let d = 150023039/126 + -1192468. Let b = d + 1809. Calculate the common denominator of 82/15 and b.
630
Let f be (-1 - -203)*(-3)/(-6). Let r = -30 + f. Calculate the common denominator of r/(-20) + (-3 - 12/(-3)) and -31/6.
60
Suppose -149*d = -157*d - 1504. Let f = d + 360. What is the lowest common multiple of f and 1?
172
Calculate the smallest common multiple of 2400 and (((-124)/(-420) - 4/(-30)) + 1)*28.
2400
Suppose -2303