 m be (-1239)/35 + (-6)/(-15). Let p = m + 38. What is the common denominator of -13/95 and 54/(-12)*p/36?
760
Let g be ((-404)/(-960))/(6/(-3208)). Let x = g + 2066/9. Find the common denominator of 6/21 + (-2046)/840 and x.
20
Let w(r) = 103*r**3 + 3*r**2 - 5*r - 2. Let c be w(-3). Let y = -564717/206 - c. What is the common denominator of y and ((-460)/(-32) + -3)/(9/(-12))?
618
Find the common denominator of 2/(28/(-45)) - -2 and (-2)/4*(6 - 18)*230/(-80).
28
Let y = 5463 + -5449. Calculate the smallest common multiple of ((-4)/2)/(-2)*1 and y.
14
Suppose 24 = -3*x - 3*j, 16 = -2*x - 28*j + 23*j. Let t be 3/(1*(-2)/(-338)). Calculate the common denominator of 21/10 and t/(-36) + 6/x.
30
What is the common denominator of 4/(44/3) + 0 + (-425988)/1589544 and -75/22?
44154
Let n be 2/4 + 28/8. Suppose -n*h - h + 15 = 4*x, 45 = 2*x - 5*h. What is the least common multiple of ((-2)/7*21/6)/((-5)/215) and x?
430
Let i = 8/113 - -1833/1243. Find the common denominator of -9 + -1 + 17/(19890/10283) and i.
990
Suppose 3*r = 35 - 191. Let h = 48 + r. What is the common denominator of -59/16 and 54/(-14)*((-76)/40 - h)?
80
Let i = 34904871 + -1465824803/42. Let c = i - 4280. Calculate the common denominator of 151/18 and c.
126
Let s(h) = 171*h + 15568. What is the least common multiple of 364 and s(-88)?
3640
Suppose 0*n + w = -3*n + 23, -3*n = -2*w - 26. Let u be (n/(-16))/(14/(-12) - -1). What is the lowest common multiple of (84/(-49))/(u/(-14)) and 2?
8
Let b(a) = -a**2 + 68*a - 464. Calculate the lowest common multiple of b(60) and 784.
784
Let b = -170238852597085/10588 + 16078471139. Let a = b - -1/2647. Let n = 2933/10 - 293. What is the common denominator of a and n?
20
Let b = 37/3948 + -30859/54285. Find the common denominator of b and -27/860.
9460
Let k be 13191/((-2)/12*-45). Let o = k + -1090071/620. Find the common denominator of o and 25/12.
372
Suppose 0 = -4*r - 4*v, -2*v = -r - v. Suppose -14*b + 6*b + 72 = r. Let j = -20 + 25. Calculate the least common multiple of j and b.
45
What is the common denominator of 3*((-2)/(-6) + -1) - (-15812)/3776 and -73/4258?
34064
Let t = -46/9 + 460/63. Find the common denominator of t and -79/322.
966
Find the common denominator of 77/192 and 91/28 + 128/(-144).
576
Find the common denominator of 69/16 and (-2)/(-6) + (-294)/315 - (-5406)/7360.
736
Let z = -168 + 212. What is the common denominator of -45/88 and ((-8)/20)/(8*z/136)?
440
Let o = 299 + -287. Suppose 15*i - 12*i - 54 = 0. Calculate the least common multiple of i and o.
36
Let v be 0 + (-10)/(-80) + (-16286)/(-23184). Let s = 8/161 - v. What is the common denominator of 57/26 and s?
234
Suppose 8*d = 5*d + 288. Let n = 3859 - 3855. What is the smallest common multiple of d and n?
96
Let n = 136201 - 14981973/110. Calculate the common denominator of -65/33 and n.
330
Let v(i) = -5*i**2 - 10*i. Let d be v(-1). Suppose -192 = d*j - 242. What is the lowest common multiple of 74 and j?
370
Suppose -2*l - 5*r = -9*r - 72, 12 = -2*r. What is the smallest common multiple of l and 93?
744
Let v = 504911 + -301936861/598. What is the common denominator of v and -38/115?
2990
Let v = -14393/6 + 2382. Let k be (3 - 2)/(4543/2275 - 2). Calculate the common denominator of v and (-6)/(-4) + (-2 - k/80).
48
Let g(y) be the third derivative of -y**5/60 - 37*y**4/24 + 127*y**3/6 + 92*y**2. Calculate the least common multiple of g(-40) and 1.
7
Let m(d) = 24 + 15 + 7*d + 13. Suppose -r - 27 = -4*r. What is the smallest common multiple of m(-7) and r?
9
Let l = 48537989/287710830 + -5/290617. What is the common denominator of 71/660 and l?
1980
Let l be (-4)/10 - (-116784)/1120. Let t = -669/7 + l. Find the common denominator of t and 63/8.
40
Let o = -209760977/6612 - -126897/4. What is the common denominator of o and -22/21?
11571
Suppose -3*i + 90 = 2*i. Let m(f) = 2*f**2 - 67*f + 199. Let z be m(3). Suppose 1199 = z*q - 369. What is the least common multiple of i and q?
882
Let a(t) = 110*t + 17374. What is the least common multiple of 96 and a(-137)?
2304
Let s(w) = 13*w - 2. Let t be s(-1). Let z be t/5 - 11663/(-1). Let l = 116703/10 - z. Calculate the common denominator of l and -99/16.
80
Let r(g) = 3 - g + 8 - 2 + g**2. Suppose 33 = -26*j + 37*j. Calculate the lowest common multiple of r(j) and 15.
15
Suppose 0*n + k - 199 = -n, n = -2*k + 198. What is the least common multiple of n and 40?
200
Calculate the common denominator of -29/448 and (0 + 3/168)/(((-1792)/2884)/4).
896
Let l = -9001 - -10376. Calculate the smallest common multiple of 875 and l.
9625
Suppose 0 = 6*f - 12 + 12. Suppose 3*x - 52 = -4*y, f*x + 39 = 3*y + x. Suppose -y*w + 15*w = 68. What is the smallest common multiple of w and 6?
102
Let k = -18808 - -18816. Calculate the least common multiple of k and 96.
96
Let o(x) = 2*x**2 - 16*x + 3. Let w be o(8). Suppose 0 = -5*k + w*c + 154 + 48, 0 = -3*k - 2*c + 106. What is the lowest common multiple of k and 10?
190
Let j = -130 - -187. Let y = j - 55. Suppose y*z + 5*t - 45 = 0, -60 = -5*z + 6*t - t. What is the least common multiple of 55 and z?
165
Suppose 0*w - 5*w = -5*t + 5, -2*w + 2 = -t. Suppose t*b + 3*k - 1 = 0, -16 - 5 = -4*b + k. Calculate the smallest common multiple of 88 and b.
88
Let u = 15397837/15 + -1025004. Let d = u + -1513. Calculate the common denominator of (-2 + (-42)/(-27))*(-46)/8 and d.
45
Let f be -1 - ((-1297)/20 + 2/(-8)). Let v = -1/115 + -14603/230. Let z = v + f. Calculate the common denominator of 151/18 and z.
90
Let z(v) = -v**3 + 9*v**2 - 2*v - 9. Let w be z(9). Let s be 1/3*(-6)/(-2) - -5. Find the common denominator of w/s*(-57)/(-36) and 31/9.
72
Let p = -87 + 139. Suppose -2*d = -2*w - p, 2*w + 6 = d + 6*w. Let x(m) = 2*m**2 + 63*m + 53. What is the lowest common multiple of d and x(-31)?
22
Calculate the common denominator of (-54 + 55)/((-3)/(222/(-16))) and -5 + 0 - (-8785)/1680.
48
Calculate the smallest common multiple of 222 and ((-132)/(-21))/4 - 64/112 - -7.
888
Let m = 2/20969 - 964688/1195233. What is the common denominator of m and 77/456?
456
Suppose 7*b - 4*b - 582 = 0. Let l = b - 131. Find the common denominator of 50/3 and 4*l/(-70) + -2 + 6.
15
Let o(b) = -11*b - 58. Let i = 73 - 65. Let r be o(i). Let d = -1309/9 - r. Find the common denominator of d and 67/12.
36
Let l(x) = -x**2 + 7*x - 6. Let u be l(5). Suppose -u*m + 90 = m. Suppose 2*h + 1053 - 1201 = 0. Calculate the lowest common multiple of m and h.
666
Suppose 0 = -6*i + 9 - 51. Calculate the common denominator of 85/2 and (-58)/i*5/(-165 + -5).
238
Let c be (-3)/2 + -3*10933/78. Let b = -297 - c. What is the least common multiple of b and 10?
250
Calculate the common denominator of -38/12201 and (37/((-5291)/(-78)))/(-4)*(-34)/(-9).
134211
Suppose -11*x - 6043 = -12*x - 2*j, 3*j = -5*x + 30201. Let a = x - 48371/8. What is the common denominator of a and -8/5?
40
Let c be (1 - -15) + -2 + 1. Suppose 6*o + c = o. Calculate the least common multiple of (-1 + o)*-1*39/13 and 18.
36
Find the common denominator of 28/3 + -10 + -1 + (-191)/(-12) and 131/21792.
21792
Let j(c) = 2*c**3 + 4*c**2 + 4*c + 12. Let i be j(-6). What is the least common multiple of 60 and (i/(-35))/((-21)/(-98))?
120
Let u be ((-53)/(-5))/(3/(-265)). Let y = -920 - u. What is the common denominator of y and 3 - 1/(6/(-112))?
3
Suppose 96 = 4*k - 0*k. Suppose 0 = -2*x - 5*y + 92, 4*x + 17*y - 170 = 14*y. Suppose 7*u - 432 = -x*u. What is the least common multiple of k and u?
72
Let a(n) = n**2 + 14*n + 10. Let d be a(-8). Let q = d - -43. Suppose -4*f - q = -3*f, z - 3*f - 33 = 0. What is the lowest common multiple of 28 and z?
252
Suppose -5*y + 270 + 380 = 5*i, 5*y = 2*i + 650. Suppose 5*s = -2*f + y, 0*f - 263 = -5*f + 3*s. Calculate the lowest common multiple of f and 22.
110
Let x be 2370*1/(-7)*78/65. Let k = 68431/168 + x. Find the common denominator of k and 33/40.
120
Let m = -6943/2409 + 321/73. What is the common denominator of (-24)/315*(-55)/6 and m?
693
Calculate the common denominator of (-1 - 8) + 2151/180 and -91/16.
80
Suppose 4*w + 17*y - 22*y = 763, 0 = -9*w + 3*y + 1659. Calculate the lowest common multiple of 49 and w.
1274
Let s = -6909 + 10725. Calculate the lowest common multiple of 6 and s.
3816
Let n be (-1