1. Suppose 0 = 19*x + 130*x + 2980. Let g = j + x. What is the lowest common multiple of g and 45?
90
Let a(j) = 2*j**2 - 3. Suppose -o - 317*z = -319*z - 5, -4*o + 40 = 2*z. Calculate the least common multiple of o and a(-6).
207
Let m = -1654 + 2046. What is the lowest common multiple of 116 and m?
11368
Suppose b = 4*v - 12492, -18*v + 21858 = -11*v - b. Calculate the least common multiple of 12 and v.
18732
Let l(a) = a - 20. Let o be l(13). Let p = 10 + o. Let v(d) = -d**3 + 5*d**2 + 7. What is the smallest common multiple of p and v(5)?
21
Suppose 4*a - 29925 = 2*a + g, 3*a + 3*g = 44901. Find the common denominator of (-20)/45 + a/27108 and 7/8.
2008
Suppose 0 - 40 = -5*u, -10*d - 3*u + 28304 = 0. What is the smallest common multiple of d and 2020?
14140
Let b be (-2 + 284)/((-27)/18). Let r = 189 + b. Suppose 5*a - 5 - 15 = 0. Calculate the smallest common multiple of a and r.
4
Let v = 48869 + -43542232/891. What is the common denominator of v and -67/27?
891
Let m = 1707 + -887. Calculate the lowest common multiple of m and 656.
3280
Suppose -51*o = 4*w - 53*o - 150, -3*w - o = -105. What is the least common multiple of w and 261?
1044
Let r = -21114/7 - -2344144/777. What is the common denominator of -4 + ((-18)/(-60) - -4) and r?
1110
Let g = 266 + -54. Suppose -22*c - 12 = -24*c. Calculate the least common multiple of c and g.
636
Find the common denominator of 1/171 and (-13 - 0) + (-522160)/(-42372).
1881
Suppose 16 = -2*t - 3*l, l + 6 = -5*t - 8. Find the common denominator of 621/18*t/(-66) and -19/26.
286
Calculate the common denominator of -97/540 and 162899/(-9440) - (3 + -21).
4320
Let v be ((-35)/14)/((-1)/6). Let p be 5*9/v + (-7729)/(-12). Let m = p - 644. Find the common denominator of 89/6 and m.
12
Let r = 27 + -64. Let j = 40 + r. Suppose 0 = -51*n + 54*n - j. What is the least common multiple of n and 2?
2
Let w(t) = -25*t - 46. Let r be w(-2). Suppose h + 2*q - 25 = 34, -r*h + q + 227 = 0. Calculate the lowest common multiple of 9 and h.
171
Let q = -155771/67 - -2325. Let o = q + 6333/536. Find the common denominator of o and 47/136.
136
Find the common denominator of 0 - ((-14)/80)/(27 - 10768/400) and 585/(-308) + 6/21.
176
Let f = -1000 - -233. Calculate the common denominator of f/(-156) + (-15)/(-3) and (-1)/(-2) + (-29)/4.
12
Let w(p) = -p**2 + 14*p - 18. Let s(f) = -f**3 - 3*f**2 + 2*f. Calculate the least common multiple of s(-4) and w(6).
120
Let z(g) = -1915*g - 18. Let n be z(-8). Let t be -5 + (1101130/12)/(9 - 15). Let f = t + n. What is the common denominator of 34/33 and f?
396
Let l(s) = -s**2 - 14*s + 15. Let n be l(-15). Suppose n*g = g - 66. Calculate the lowest common multiple of g and 7 - (-5 - (-3 + -3)).
66
Suppose -4*g = -3*b - 216, 108 = -2*g + 4*g - 3*b. What is the least common multiple of g and ((18/12 - 4)*-3)/(3/4)?
270
Suppose 4*t - 5*t - 2983 = 5*o, -5*o - 2*t = 2986. Let d = -486343/4 - -122177. Let j = o + d. What is the common denominator of 69/2 and j?
4
Find the common denominator of -167/30 and (33/15)/(414/(-135)).
690
Let p(t) = -12*t - 1. Let o be p(-1). Find the common denominator of (108/(-352) - (-2)/o)*-3 and 2/(-4) + 1356/72.
24
What is the lowest common multiple of 1980 and 81*20/360*40?
1980
Suppose -2*q = 5*n - 32, -2*n + 14 = -5*q + 6*q. Calculate the common denominator of (2 - 17/q)*(-68)/(-35) and 67/159.
1113
Suppose 2*c + 5*q - 73 = 0, -4*c + 6*q + 131 = q. Let v = c + -14. Let p = 42 - v. Calculate the smallest common multiple of p and 20.
220
Find the common denominator of -63/22 and (3 + (-190)/64)/(3210/(-2250)).
37664
Find the common denominator of 73/26 and 248/(-36) + (-429)/(-66).
234
Let b be 10/(-35) + (-1816)/14. Let o = 66 - 80. What is the least common multiple of 6 and (-16)/56 + b/o?
18
Suppose 4*y = -2*h + 150, 3*y - 114 = -3*h + h. Let i = 113 + -91. What is the lowest common multiple of i and y?
396
Let z be 489*(7 - 212/30). Let a = 11761/360 + z. Calculate the common denominator of 145/24 and a.
72
Let o = 17453/28170 - 260/313. Find the common denominator of o and (174/(-20))/(54/(-15)).
180
Let w = 1309495055/658 + -13970941/7. Let p = w - -5735. What is the common denominator of -19/20 and p?
940
Let t(h) = -19*h - 487. What is the least common multiple of 20 and t(-33)?
140
Calculate the common denominator of -37/32 and 334/(-1002)*6*-1 + (-159)/28.
224
Suppose -1 - 4 = -2*s - m, 3*m - 9 = 0. Calculate the smallest common multiple of s and 2233.
2233
Let n = 20 - 60. Let k be -10*(n/(-25) - 2). Suppose 2*d - 8*h - 30 = -k*h, 28 = 2*d - 3*h. What is the smallest common multiple of d and 5?
55
Suppose 4*p - 12 = 12. Let i(l) = -l**3 + 10*l**2 + 17*l - 8. Let a be i(7). Suppose 1380 - a = 33*z. What is the smallest common multiple of z and p?
102
Let z = -25847/89946 - 5/2367. Calculate the common denominator of z and -91/228.
228
What is the common denominator of 79/24 and ((-3230)/(-1080) + -1 + -2)/(12/1062)?
72
Let v = 3/226 + -919/1130. Let y be (-5890)/35 + 4/14. Let c = 1825/11 + y. Calculate the common denominator of c and v.
55
Find the common denominator of (-3)/21*354/12 and -101/98.
98
Calculate the common denominator of -11/291 and 785/1128 + 420/(-672).
13677
Suppose -13*g = -16 - 114. Suppose -7*t = -g*t + 165. Calculate the least common multiple of t and 20.
220
Suppose 125*f - 87 - 38 = 0. Let c be (-4 + 1)/((-3)/28). Suppose 11 = 5*s + f, -c = -q - 4*s. What is the least common multiple of 20 and q?
20
What is the common denominator of -45/832 and -4 - (-1 + ((-28359)/1040)/9)?
4160
Let v = -211 - -215. Suppose v*b = d - 10, 4*d = 8*d - b - 100. Calculate the lowest common multiple of 182 and d.
182
Let c = 941/460 - 85/23. Let y = -1/40 - 3/8. Let i = y - c. What is the common denominator of 27/14 and i?
28
Suppose 5*m - 1906 + 1826 = 0. Suppose -3*p - 17 = 2*n - 177, 0 = -p + 4*n + 44. Calculate the smallest common multiple of m and p.
208
Suppose -2*o + 0 = -4*u + 44, -3 = -3*u. Let m = o - -84. What is the least common multiple of 128 and m?
128
What is the least common multiple of (272/46 - 12/(-138)) + -2 and 1*(-4)/12 + (-62)/(-6)?
20
What is the common denominator of ((-186)/100)/((-300)/250) and -161/30?
60
Let i = -2533/159 - 25/106. Let g(t) = -4*t - 46. Let w be g(-8). Find the common denominator of i and 3886/(-804)*(-1 - w/4).
12
Let z = 40 - 36. Suppose -2*p - 3*u = -620 - 72, 7*u = 2*u. What is the least common multiple of p and z?
692
Let t = -293304/3430855 + 56/3791. What is the common denominator of 23/15 and t?
2715
Let i be (-22)/55 - 1629007148/5. Let m = i + 2186127599243/6710. Let o = m + 1/305. What is the common denominator of -5/48 and o?
528
Let h be (63/15 - 0)*(0 + -5). Let k be ((-6)/(-4))/(-1 - h/12). Suppose -k*a + 23 = 5. What is the lowest common multiple of a and 10?
90
Let m be 2 - (-2 - -20)/(-3). Suppose -m*w - 13 + 109 = 0. Calculate the common denominator of (-695)/6*w/60 and -31/8.
24
Let m(b) = 3*b**2 + b - 19. Let o be m(-14). Let p = o - 10. Calculate the common denominator of ((-45)/(-6))/(p/(-8) + 1) and 34/7.
1253
Let h be ((-8)/18)/(126/748008). Let t = h - -2637. Calculate the common denominator of 79/14 and t.
42
Suppose 7*f + 1557 = -3*c + 6*f, 3*c - 2*f + 1548 = 0. Let j = 528 + c. Let g = 60 - 26. What is the lowest common multiple of j and g?
170
Let l = 25 - 11. Let o = -359 + 391. Suppose l*j - 18*j = -o. Calculate the least common multiple of j and 18.
72
What is the lowest common multiple of 5400 and ((-6)/14)/(29/(-7105))?
37800
Let b be 62498*2/(-80) + 0. Let k = b + 1562. Find the common denominator of -33/8 and k.
40
Let f = 4111151/150006660 - -1/57940. Find the common denominator of f and -34/9.
7767
Let s = 21466 - 21464. What is the lowest common multiple of 3115 and s?
6230
Suppose -783 = -278*b + 52*b + 4867. Suppose -5*v = -192 - 33. What is the smallest common multiple of v and b?
225
Suppose -15*u + 78 = -87. Calculate the least common multiple of u and ((-72)/(-4))/((-4)/(-10)).
495
Calculate the common denominator of -131/1656 and 10/2 + (311486/(-4048))/19 + -1.
18216
Calculate the lowest common multiple of 6 and 86/(-516) + 9127/6.
3042
Suppose j + l = 440, -5*j - 510 = -2*l - 2710. Suppose 0 = 21*k - 10*k - j. What is the smallest common mu