is the common denominator of 459/w - (5 - 2) and 19/18?
126
Let x = -12/5 + 9/10. Find the common denominator of x and 1066/(-208) + 6/(-2).
8
Let s = -7 - -43. Calculate the smallest common multiple of 1140 and s.
3420
Find the common denominator of -67/1134 and -17 + 1 + 124409/7614.
1134
Let r be ((-36)/10 - 4/10)/(-2). Suppose -19 = 7*h - 12*h + k, -r*k = -2*h + 6. What is the least common multiple of h and 259?
1036
Let x be (644/(-6))/(2*18/(-2169)). Let w = -6452 + x. What is the common denominator of 41/24 and w?
24
Suppose 0 = -5*m + 3*m - 4*i + 250, -m + i = -122. Let k = 103 - m. Calculate the common denominator of 17/57 and ((-42)/4)/(-7) + 124/k.
570
Suppose -4*x + 127 - 47 = 0. Suppose 0 = -14*p - 6*p + x. Find the common denominator of -14 - p*(-1)/4 and -2/5.
20
What is the common denominator of (-5 - 627/(-192)) + (-55 - -57) and 169/480?
960
Let p be (-55)/2*128080/(-100) + -1. Let t = p - 1338479/38. Find the common denominator of t and -85/6.
114
Let w = 1/87 - 613/348. What is the common denominator of (-3 - (-52)/(-32)) + (-3)/(-3) and w?
8
Suppose 0 = 3*l + h + 1454, 2428 = -5*l - 0*l + 3*h. Calculate the common denominator of -77/2 and (-360)/(-16)*(-6)/l.
194
Let z be (-1)/109184*(3 + -1*158069). Let h = z + -102/853. Calculate the common denominator of 19/56 and h.
448
Let z(w) = -3*w**2 - 24*w + 1. Let x be z(-8). Let l be (45/10*2)/(x - 0). What is the common denominator of 4 - (1 + l/((-1701)/(-816))) and -13/21?
63
Let t(n) = n**3 - 4*n**2 - 3*n. Let l be t(4). Let h be (16/l)/2*-15. Suppose h*s + 32 = 12*s. Calculate the least common multiple of s and 32.
32
Suppose k = -5*m + 19 + 25, k = m - 4. Suppose s - 3*t = 17, -s + t - m = -21. Calculate the lowest common multiple of 79 and s.
869
Suppose -3*i - 6 = 4*b, 3*i + 5*b - 5 = -14. Suppose 4*r + 24 + 4 = -w, 0 = 3*r - i*w + 10. Find the common denominator of 79/44 and r/(-198)*270/4.
44
Let p be -4 + 25 + 0 + 3. Let t be 4 + ((-29733)/9915)/(p/(-30)). Let c = t - -1/661. What is the common denominator of c and -22/7?
28
Suppose 6*y - 4*y = -12. Let f be ((-1410)/75 + 20)/(6/10). Calculate the common denominator of ((-190)/18 - y)/(f/3) and -53/16.
48
What is the common denominator of 1/(-16)*((-24)/16*12 + -3) and 61/7386?
59088
Let u be 3836454/8351288 - (37 + -37). Let m = -2/24277 + u. What is the common denominator of m and 63/40?
1720
Let s be ((-8)/(-2)*-2473)/(4/2066). Let f = 61348747/12 + s. Let b = -6369/2 + f. Calculate the common denominator of -68/33 and b.
132
Let v be (-2421)/(-153) - (-1 + 2). Let g = v + -3656/187. Find the common denominator of -7/23 and g.
253
Let o = -1103627/28919650 - -3/134510. Calculate the common denominator of -39/1075 and o.
1075
Let f(m) = m**2 - 6*m + 12. Let u be f(7). Suppose -2*x + 22 = 4*o, 2*x + o = 5*x - u. Suppose -2 - x = -i. Calculate the least common multiple of 6 and i.
18
Let y be (0 - (-4)/10)*-10. What is the common denominator of 42/525*5 + (-1479)/(-90) and (-588)/342*3/y?
114
Suppose -5*h - 20 = 0, 29 - 293 = 2*q - 4*h. Let x = 146 + q. Calculate the smallest common multiple of x and 36.
36
Let u(t) = -t**2 - 8*t - 3. Suppose -56*o = -51*o - 195. Suppose 52*n - o = 13*n. What is the least common multiple of u(-6) and n?
9
Let f = 54933/43120 + -284/245. What is the common denominator of f and -97/50?
4400
Let d = -199862879/4 + 50227727. Let r = -260405 + d. Let o = 1620 - r. Calculate the common denominator of -25/44 and o.
44
Let s = -15 - -30. Let d(g) = -g**3 + 17*g**2 - 27*g + 35. Calculate the smallest common multiple of d(s) and 10.
80
Let n = -178 - -189. Let s = n + 16. Suppose 2*f + 4 - 46 = 0. Calculate the smallest common multiple of f and s.
189
Suppose 894*u - 896*u - 5*m = -546, 5*u - 1428 = -2*m. Calculate the smallest common multiple of 432 and u.
864
Let a(k) = k**3 - 8*k**2 + k + 12. Let j be a(10). Let v = 237 - j. What is the smallest common multiple of 12 and v?
60
Let i(p) = 16*p**2 - 8*p - 36. Calculate the least common multiple of i(6) and 164.
492
Suppose -3*l + 50 = 5*m - 22, 3*l = m + 54. Let r = l - -17. Suppose 466*a - 300 = 366*a. What is the smallest common multiple of a and r?
36
Suppose j + 3392 = -4*w + 4*j, 4240 = -5*w - 2*j. Let f be ((-18)/124)/(2/w). Let d = f - 37537/558. What is the common denominator of -103/14 and d?
126
Let o be ((-6)/(-15))/(5/300). Let h = o + -12. Calculate the smallest common multiple of h and (-36)/(-1) - 18/(-30)*-10.
60
Let l(m) = -73*m + 1717. Calculate the least common multiple of 1210 and l(19).
3630
What is the least common multiple of ((-10)/(-35))/(5/(-35)) - -122 and 408?
2040
Suppose -3*v + v + 4 = 0. Suppose -10*r + 9*r = -4*m - 27, 0 = 3*r + 2*m - 67. Calculate the least common multiple of r and v.
46
Suppose 11*t = 4*t + 182. Let d = -6 + -6. Let j = t + d. What is the lowest common multiple of 8 and j?
56
Suppose -3 = -96*y + 97*y, 0 = -3*s + 2*y + 2679. What is the lowest common multiple of 810 and s?
8910
Let n be (2965/(-30))/((-5)/(460/(-12948))). Let h = n + 17/747. Calculate the common denominator of 87/44 and h.
1716
What is the common denominator of 3/9 - 1007/3210 and 63/428?
2140
Let p = -20171 - -7136. Let x = p - -260789/20. Calculate the common denominator of 97/16 and x.
80
Let c = 2/34453 + 1274245/8888874. What is the common denominator of 13/215 and c?
1290
Let z = -8 + 22. What is the lowest common multiple of ((-84)/8)/1*z/(-21) and 104?
728
Let k = -1461/14 + 106. Find the common denominator of k and 273/(-88)*(-4 - -5) + 4.
616
Suppose -2*w + 2*c + 1820 = 0, 2*w - c = -1015 + 2835. Let d = -580 + w. What is the smallest common multiple of 6 and d?
330
Find the common denominator of (1152/4860)/((-5)/(-50)) and 37/138.
1242
Suppose -4080*r = -4069*r - 2310. What is the least common multiple of r and 290?
6090
Calculate the least common multiple of 14 + -10 + 7 - -7 and 60.
180
Let d = 70264 - 70200. Let o = -23 - -59. What is the least common multiple of o and d?
576
Suppose -u = 5*a - 44, 131*u + 44 = 132*u + 3*a. What is the lowest common multiple of u and 3?
132
Suppose 3*s + 33 - 8 = -5*t, -2*s - 26 = t. What is the common denominator of ((-136)/528)/((-31)/s - 2) and 81/22?
22
Let d = 4537/210 + -248/15. Let k be (-2)/(-9) - (-520)/(-72). Find the common denominator of d and k + 11 + 89/(-22).
154
Let x(p) = 2*p**2 + 75*p - 84. Suppose 4*n - 2*y - 136 = 0, 10*y = 4*n + 11*y - 130. What is the least common multiple of x(-39) and n?
33
Suppose b + 4*t - 3 = -4*b, -5*b + 3*t = 11. Find the common denominator of (28/(-6))/(8/(-38)) and ((-35)/(-39) + b)*(-738)/48.
78
Let v = 9 - 8. Suppose -69*y + v = -70*y. Calculate the least common multiple of (-8)/((-160)/195) + y/(-4) and 20.
20
Let l(b) = -4*b**2 - 31*b - 6. Let a be l(-7). Let n = -25199/6 - -4214. Calculate the common denominator of 602/60 + (-2)/a and n.
30
Suppose 34*l + 32452 = 278*l. Calculate the lowest common multiple of l and 42.
798
Calculate the common denominator of (-13 + 28256/2160)/(2/24) and 53/140.
1260
Let g = -352 + 387. Suppose -2*a = -5*j - 52, -5*a + g = -5*j - 65. Calculate the lowest common multiple of 8 and a.
16
Let o = 267 - 321. Find the common denominator of -73/60 and ((-177)/o)/(-2 + 3).
180
What is the common denominator of (-2018)/(-58)*((-108)/(-315))/(-4) + 3 and -71/15?
3045
Suppose 4*i = 3*k + 22207, 0 = -i + 5*k + 2701 + 2872. Let b = -44449/8 + i. Calculate the common denominator of b and -55/7.
56
Suppose -5*y + 3*i + 123 = 0, -14*i + 2 = -16*i. What is the lowest common multiple of 4590 and y?
18360
Suppose -82*q + q = 451 - 1099. Calculate the least common multiple of 189 and q.
1512
Suppose -4*l - 47764 = 4*g, 6*g - g = 3*l + 35815. Let c = l - -238869/20. Let z = 120203/2642 - -4/1321. What is the common denominator of z and c?
20
Let p(v) = 57*v**2 + 90*v + 288. What is the lowest common multiple of p(-3) and 150?
26550
Let j = -456917/76 - -6012. Calculate the common denominator of j and 11/703.
2812
Let g(q) = -23*q - 107. What is the lowest common multiple of g(-5) and 11?
88
Suppose -g = 3*d + g - 20, 3*d - 3*g = 15. Let h be (2/(-2))/((-10)/(-350)). Let s = 71 + h. Calculate the lowest common multiple of d and s.
36
What is the common denominator of 13/104*10 + (-499)/360 and -17/630?
2520
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