et c be (-54)/24*z/(-6). Calculate the common denominator of -1 + (-161)/14*(-2)/c and 139/30.
30
Let x = -25553/6438 + 156/37. What is the common denominator of x and (-1*(-7 - -36))/(-8)?
696
Let r = 1269959/36 - 35274. What is the common denominator of (10 + (-45)/6)*137/(-75) and r?
180
Suppose 4*z = i - 17428, 2*i - 1151 = 5*z + 20637. Let k be -6 - (-4)/((-320)/348488). Let f = z - k. What is the common denominator of -17/6 and f?
30
Let j = -221/10 - -1783/80. What is the common denominator of ((-1)/(-96))/(32/(-3696)) and j?
64
Suppose 3*b + 4*m = -101, 4*m + 38 = -5*b - 133. Suppose 2*o - 2*z - 3 - 21 = 0, -z - 22 = -2*o. What is the smallest common multiple of o and ((-300)/b)/5*7?
60
Let f(m) = -2*m + m + 2*m + 15. Calculate the lowest common multiple of f(0) and (-6)/16 + 75/6*(-9)/(-12).
45
What is the common denominator of (-1377)/168 - (-1)/3*24 and -117/154?
616
Let v = 1918 - 17314/9. What is the common denominator of v and (-7)/(-88)*(-15)/(-3)?
792
Suppose -2*c = 5*a - 308, 93*a - 95*a = -3*c - 108. What is the lowest common multiple of a and 144?
720
Let v = 44 - 62. Let w = -46135 + 1660717/36. Find the common denominator of w and (-4)/v - 2065/(-90).
36
Let u(n) = 17*n + 184. Suppose 0*x = -4*x - 20, 5*x - 25 = 5*b. What is the lowest common multiple of 130 and u(b)?
910
Let a = -207 - -202. What is the common denominator of (-4)/a - (2 - (-788)/(-2640)) and 51/16?
528
Let g(i) = 9*i. Let t = 0 + 1. Calculate the least common multiple of (-4)/((84/30)/(-7)) and g(t).
90
Let t be 322/70 + 6/(-10). Find the common denominator of -14/87 and (-70)/(-231)*((-18)/t - -2).
957
Calculate the common denominator of -80/21 and 5/(7875/2208) + (-162)/378.
525
Suppose 21*g + 53*g - 1496 = -62*g. What is the least common multiple of g and 114?
1254
Calculate the least common multiple of 286 and ((-966)/63)/23 + (-9674)/(-3).
35464
Let z(a) = -6*a**3 - 87*a**2 + 41*a - 18. What is the smallest common multiple of z(-15) and 4140?
28980
Let v(x) = -2*x - 23. Let f be v(-11). Find the common denominator of ((-66)/9 - f)*75/10 and (-3)/(-2)*(-413)/231.
22
Let p = 1689 - -14870. Let b = -27914 + p. Let x = b - -306548/27. Find the common denominator of x and -68/27.
27
Let o be (1 + 0)/((-7)/(-35)). Suppose 0 = o*c - j - 14, -4*j = -2*c - 2*c + 24. Let l = -494 - -504. Calculate the smallest common multiple of l and c.
10
Let i = 94 + -52. Let b = -26 + i. Let x = -236755/33552 + 3/3728. Find the common denominator of b and x.
18
Suppose -5*l + 2*y - 56 = -247, 2*y - 199 = -5*l. Let b = -31 + l. Suppose 4*w = -t - b, 21 - 1 = 5*t + 5*w. What is the least common multiple of 10 and t?
40
Let z = -15 + 18. Suppose 0 = 5*c - z*c - 1688. Let h = c - 16787/20. Calculate the common denominator of 107/22 and h.
220
Let w be (-11)/(77/21) + -7. Let c = 31 + w. What is the least common multiple of 21 and c?
21
Let c = 1595243/396 - 16115/4. Find the common denominator of c and 73/429.
2574
Let d = 1314 - 662. Calculate the common denominator of ((-22)/(-60))/(5 + d/(-132)) and -89/4.
20
Let c = -129550/399 - -6165/19. Calculate the common denominator of c and 7/1653.
11571
Let n(g) = -134*g**2 - g - 1. Let a be n(-1). Let y = 3987 + -11890/3. Find the common denominator of y and (-24)/30*a/(-16).
30
Suppose -5*g = -2*a + 532, -a + 531 = 4*g - 9*g. Let p be 3 + g*(-20)/(-8). What is the common denominator of -119/30 and p/24 - (3/(-4) + 1)?
30
Suppose -3*p + 5*p = s + 4, 4*s - 28 = -3*p. Suppose p*d - 4 = 0, 0*d - 4 = -3*r + 5*d. What is the lowest common multiple of 144 and r?
144
Let k = 1524 + -2534. Let w = 40403/40 + k. Find the common denominator of -59/28 and w.
280
Suppose -87 = -5*q + 33. Let u = -59 + 80. Suppose u + 23 = k. Calculate the least common multiple of k and q.
264
Suppose b + 6*p - 5*p + 54 = 0, 5*b + 2*p + 261 = 0. Calculate the common denominator of b/16 + -5 + (8 - 3) and -21/58.
464
Suppose 0 = -2*n - 10 + 160. What is the common denominator of ((-402)/80)/((-54)/30) and n/(-10) + (1 - -1)?
24
Let v be (1 + (-320106)/40)/(13 - (-13 - -25)). Suppose 2*l + q + 15691 = -318, -l - 3*q = 8007. Let c = v - l. What is the common denominator of -37/20 and c?
20
Calculate the smallest common multiple of 19 and 5320/105*(-2 + 11).
456
Let r(b) = -3*b**3 + 27*b**2 - 20*b + 189. Suppose 4 = 2*m - 0. What is the smallest common multiple of m and r(9)?
18
Let k = -4343309/1507590 + 1/107685. What is the common denominator of k and -35/27?
378
Let b(t) = 6*t - 2. Let i be b(2). Calculate the common denominator of 66/(-120) + (-4)/i and (-33488)/1092*(-9)/176.
220
Calculate the lowest common multiple of 9*(208/12 - 4) and 2*(13 - (10 + -5 - 2)).
120
Let z = -861 + 844. What is the smallest common multiple of z/(119/14) - -128 and 99?
1386
Let x(r) = 169*r - 734. What is the lowest common multiple of 333 and x(5)?
333
Let c = 9399 + -5679. Let x = -18658/5 + c. Let w = 217/342 - 3/38. What is the common denominator of w and x?
45
Let s be 460081437/(-159934368) + (-7)/28. Let n = s - -6069/35636. Let a = n - -1/544. Calculate the common denominator of -41/22 and a.
22
Suppose 29*h + 1050 = 78*h + 56*h. Calculate the smallest common multiple of h and 7879.
78790
Suppose -5 - 13 = -n. Suppose 8*d - 5*d + 4*t = 310, -2*d + 176 = -5*t. Let b = d - 56. What is the lowest common multiple of n and b?
126
Let h be (-7 + -1 + 6)*14/(-4). Calculate the smallest common multiple of 2 - -5 - h/((-42)/12) and 9.
9
Let b = 61 + -25. Calculate the common denominator of (b/10)/(-6 - (-310)/(-45)) and 41/6.
870
Suppose 5*b + 3*x = 63, 0*x = b - 2*x - 10. Let f(j) = -9*j - 5. Let g be f(-6). Let z = 69 - g. Calculate the smallest common multiple of b and z.
60
Suppose -114*m = -84*m - 900. Let j = -77 - -134. What is the smallest common multiple of j and m?
570
Suppose y + 16 = 3*w - 0*y, -3*w = 3*y - 12. Suppose -3*a = -4*c + 41 + 25, -82 = -4*c - w*a. Calculate the lowest common multiple of 153 and c.
306
Let r(k) = 5*k**3 - 4*k**2 - 13*k + 21. Let c(g) = 4*g**3 - 5*g**2 - 12*g + 19. Let x(m) = 3*c(m) - 2*r(m). What is the least common multiple of 3 and x(6)?
135
Let j = 244227/1288 - 4392/23. Let g = 2/79 - 5483/1264. Find the common denominator of j and g.
112
Let v be (2*6218/(-4600) - 0) + 4. Let w = v + 2/575. What is the common denominator of -127/6 and w?
30
Let m = 74 + -73. Let u = m - -9. Calculate the least common multiple of u and 34.
170
Let t = -6 + 19. Let o be (-183 - -12)/(-19) + 183. Suppose f - t*f + o = 0. Calculate the lowest common multiple of 8 and f.
16
Let k be (-498)/(-36) - (-1)/6. Suppose -4*h = -11*h + k. Suppose 0 = -h*m + 16 - 6. What is the smallest common multiple of m and 21?
105
Let d be 2/(-4)*2 - (6 - 14). Let h be ((-9)/2)/(d/(-14)). Calculate the common denominator of 57/4 and (h/(-6))/((-24)/122).
8
Let v(w) = -4*w - 15*w + 5*w + 18 + 10*w + 162. Suppose -4*l = -121 - 71. What is the least common multiple of v(43) and l?
48
Let y(r) = 13*r**3 - 3*r**2 + r + 3. Suppose -2*j - 10 + 14 = 0. Let g be y(j). Let w = g - 67. Calculate the least common multiple of 30 and w.
30
Let o = -9172382173/208888090 + -20/1099411. Let r = o - -650/19. Find the common denominator of 59/68 and r.
340
Let h = 324/2205276559 - -758892773777054/1547541798895455. Let m = 28/4253 + h. Calculate the common denominator of m and 59/15.
165
Let t be (-1)/((-947)/(1 + 0)). Let o = -16119/18940 + t. Let j = 9685/8 - 1209. Find the common denominator of o and j.
40
Suppose -4*z + 15*z = 66. Let m = 125 - 86. What is the lowest common multiple of m and z?
78
Let j(x) = 179*x**3 + x**2. Let o be j(1). What is the common denominator of -31/74 and 4/6 + (-273)/o?
740
Suppose 5676 = 4*l + 1044. Calculate the smallest common multiple of 193 and l.
1158
Let a be 6/15 + (-10)/25. Suppose 2*o - 48 + 22 = a. Calculate the lowest common multiple of 6 and o.
78
What is the common denominator of -83/2208 and (20/1200)/((-14)/(-1134))?
11040
Let l(k) = k**3 + 28*k**2 - 28*k + 39. Calculate the least common multiple of 4508 and l(-29).
22540
Let m = 44965/3 + -27615/2. Let p = m + -1178. Let s = -841 + 1647/2. Calculate the common denominator of s and p.
6
Suppose -103 = -6*h - 49. What is the lowest common multiple of (1 - h)*(-16 + 15) and 1?
8
Suppose 8249 = 