nator of ((-68)/(-22) - -2) + 0 and (-602)/(-16) + 12/288*x.
22
Suppose 5*n - 177 = -2*g, -3*n - g + 32 + 75 = 0. Suppose 0 = 13*o + 11 - n. What is the least common multiple of 78 and o?
78
Let p = -2903 + 2909. Let f(n) = n**2 - n + 3. Let q be f(0). Suppose q*v - 2*v = 6. Calculate the lowest common multiple of v and p.
6
Let v be -2 + 1 - (-90)/(-15). Find the common denominator of (305/35 + -4)*v/(-20) and 51/155.
620
Let l = -1392 + 1464. Calculate the least common multiple of l and 1120.
10080
Suppose -11*a + 9*a = -36. What is the least common multiple of (2/1)/(7 - 114/a) and (8 + 0)*6/4?
12
Let b = 42 + -40. Suppose -b*w + 51 = 5*d, 0 = -d + w + 17 - 4. What is the common denominator of (-14)/d*-2*(-3)/12 and 97/22?
22
Let o(r) = r - 1. Suppose 554 = 66*u - 3076. What is the smallest common multiple of u and o(11)?
110
Suppose 4*g - 3*g = -4*b - 20436, 3*b + 15327 = -2*g. Let y = b - -3641. Let h = 13189/9 + y. Calculate the common denominator of 22/5 and h.
45
Let j = -236 - -365. Suppose -24*h - 21 = -25*h - 4*a, a - j = -4*h. What is the least common multiple of 6 and h?
66
Let z = -676 + 598. Let g = -3442/45 - z. Calculate the common denominator of g and 47/40.
360
Suppose -7*n + 54 = -4*n - 5*u, 2*u = -4*n + 72. Find the common denominator of n and 454/(-24) + (-2)/(-8).
3
Let d = -82401073/276 - -298555. Find the common denominator of d and 75/184.
552
Let r = 1620881074962 - 379513094892621179/234140. Let l = r - 1/23414. Calculate the common denominator of (-2 - -3)*(-25)/14 and l.
140
Suppose 4*q - 92 = 8. Suppose 5 = 2*y - 5*b - 24, y + b - q = 0. Suppose y = p + 4*l, 4*p - 28 - 8 = -3*l. What is the lowest common multiple of 8 and p?
24
Let i be (-7)/(-56) + (-313)/8. Find the common denominator of i/52 + (-15)/4 and -53/30.
30
Let g(j) = -4*j**2 - 3*j + 1. Let h be g(-1). Suppose -m - 4 = h, -3*t - 5*m + 46 = 6. What is the least common multiple of t and 228?
1140
Suppose -5*c - 25 = 0, n + 50*c = 48*c + 3994. What is the lowest common multiple of n and 6292?
44044
Suppose 0 = -2*i - 2*j - 96, j = 2*i - 5*i - 142. Let a = i - -51. Calculate the smallest common multiple of a and (11/(-5) - -1)/((-6)/80).
16
Let b be (-10)/(-7) + -1 - 9646500/11532199. Let k = b - 1/3989. Find the common denominator of k and 7/2.
98
Suppose 150*t - 20*t - 1350 = 2290. What is the least common multiple of t and 548?
3836
Suppose -12 - 7 = -y - 4*f, -3*f = -3*y - 3. Suppose -155 = -p - 4*d + 3*d, -y*d - 135 = -p. Calculate the common denominator of 6*-4*(-65)/p and 34/9.
45
Calculate the common denominator of -155/612 and (1/(-342))/((-16284)/(-8201) + -1*2).
11628
Suppose -11*t = -23 + 2201. Find the common denominator of 8 + 3372/t - -7 and 2/3*(-86)/(-4).
33
Find the common denominator of -52/335 and (-15)/450*(-510)/670.
670
Let m = -129 - -130. Find the common denominator of 41/45 and 1947/165 + m*-1.
45
Let v be 526/(-6) + (-7 - (-19)/2). Let z = v + 1366/15. Let p = 22266 - 1157899/52. Find the common denominator of p and z.
260
Suppose 9 = -58*z + 59*z - b, -2*b = z + 9. Calculate the least common multiple of 1991 and z.
5973
Let o = -23940 - -23985. What is the least common multiple of 3240 and o?
3240
Let g = 22586 - 10284. Let p = 122919/10 - g. Find the common denominator of (-18 - 14705/(-816))*165 and p.
80
Let o(u) = 84*u - 27. Let p be o(1). What is the common denominator of -29/18 and (p/(-7) - -8) + (-1054)/(-2184)?
468
Suppose -13*s + 9*s - 4*k = 108, -60 = 2*s + 4*k. What is the least common multiple of 231 and -2*(-7)/((-112)/s)?
231
Let b = 5693485 + -68277679/12. Let i = 3672 - b. What is the common denominator of (4/(-192))/(10/(-1490)) and i?
48
Let h be ((-10)/15)/(2/(-129)). Suppose -h*z + 172 = -42*z. Suppose 6*r = 7*r - 16. What is the least common multiple of r and z?
688
Suppose 11 = a - 29. Calculate the least common multiple of a and 50*(210/(-350) - 36/(-20)).
120
Let s(b) = -b**2 + 14*b - 34. Let m be s(6). Suppose 0 = 4*v - 2*u + m, 0 = -3*v + u - 12. Calculate the common denominator of (-470)/144 - v/(-40) and -95/22.
198
Let f = -133604/942851 + 119/797. What is the common denominator of f and 56/117?
10647
Let u = 170 - 184. Let b(t) = -2*t**3 - 25*t**2 + 41*t - 13. What is the smallest common multiple of b(u) and 239?
239
Let l = -10480 - -12952. What is the least common multiple of l and 2?
2472
Let d be (3/(-6))/((-648364)/(-8)). Let r = d - 126106763/5673185. Let n = -47533/2310 - r. Find the common denominator of n and 77/16.
528
Suppose -i + 145 = 5*p - 3*p, i = 3*p - 205. Let j = 65 - 51. What is the smallest common multiple of j and p?
70
Let p = 24 - -7. Let j = -32 + p. Calculate the least common multiple of 7 and 7/j*54/(-126).
21
Let z be 6 - (4 - (-3165)/24). Let a = z + 130. What is the common denominator of a and 67/12?
24
Suppose 0 = 4*o + 1865 - 27673. What is the lowest common multiple of 40 and o?
64520
What is the common denominator of (760/140)/((45/(-21))/(-5)) and -54/1133?
3399
Let f = -129994 + 19889003/153. Find the common denominator of f and -32/561.
1683
Let f = 15189 - 198030. Let k be -3 - (-2)/((-43056)/f). Let z = k + -135/299. What is the common denominator of z and 8/3?
24
Let m be (-16)/136 + 210/51. Suppose 2*r + 92 = 2*t - 2*r, t - 22 = -m*r. What is the lowest common multiple of t and 2?
38
Let d = 55003/28 - 7875/4. What is the common denominator of 109/264 and d?
1848
Let n = -6880 + 7468. Calculate the smallest common multiple of 1960 and n.
5880
Suppose -4*s = -3*s + 7677. Let a = -138091/18 - s. Find the common denominator of a and 0 + 0 + (-2)/(-48).
72
Let r = -12651 - -14696. Calculate the smallest common multiple of 7 and r.
14315
Let w = -105788 - -1269481/12. Let d = 83338/37233 - 1/5319. Find the common denominator of d and w.
84
Let t = 23225 - 1974072/85. What is the common denominator of t and -29/8?
680
Suppose -15*q + 8*q - 140 = -42*q. What is the least common multiple of (1 + 14)/(2/2) and q?
60
Suppose -85218 = 7*y - 5*y. Let f = -5240957/123 - y. What is the common denominator of f and 41/30?
1230
Suppose -2968 = -2*w - 4*o, -w - 469 = -5*o - 1960. Calculate the lowest common multiple of w and 14.
10402
Let h = -938591/51 + 18405. Find the common denominator of h and -32/85.
255
Let w(a) = -2*a**2 + 244*a - 41. Let z(b) = -b**2 + 81*b - 14. Let g(t) = 4*w(t) - 11*z(t). What is the least common multiple of 54 and g(-29)?
432
Let r = 340 + -340. Let c = 1 - -1. Suppose r*m - 3*m + 14 = c*q, -m - q = -3. What is the smallest common multiple of 7 and m?
56
Suppose 268 + 36 = -19*l. What is the common denominator of -37/22 and (4/l)/(3/(4 + -91))?
44
Suppose 23979*j - 1716 + 173932 = 24001*j. What is the smallest common multiple of 24 and j?
46968
Suppose 6*x = 8*x + 3*h - 22, 0 = -3*x - 2*h + 23. Suppose -4*z + l = -190, 5*l - 63 = -z - x. What is the least common multiple of 1 and z?
48
Let l(o) = -2*o. Let u be l(-3). Let t be -1*8*5/(-5). Suppose u*m = -t*m + 28. Calculate the least common multiple of m and 20.
20
Let d be 8566/(-1020) + -4 + 4. Let m = 160391/17 - 9427. Let o = d + m. Calculate the common denominator of o and 63/10.
30
Let p = 110 + -84. Suppose -b = -26 - p. Suppose -2*h - 44 = -4*x, 0 = -4*x + 4*h - 6*h + b. Calculate the smallest common multiple of x and 21.
84
Let r = 16347 + -3334795/204. What is the common denominator of r and 95/6?
204
Suppose 9*f - 16*f = -20167. Let q = 100791/35 - f. Find the common denominator of q and 30/11.
385
Suppose 0 = 5*c + 8*c + 975. What is the least common multiple of 19 and (-88)/(-10) - 15/c?
171
Let s(p) = p**3 + 13*p**2 + 11*p - 12. Let f be s(-12). Suppose f = -6*w + 8*w - 42. What is the smallest common multiple of w and (-18*(-2)/4)/1?
63
What is the common denominator of -3 + -2 - 16762/(-3366) and 29/407?
3663
What is the common denominator of (-2)/15*(-1014)/858 and -2 - -3 - 172/210?
1155
Suppose 2*a - 49 = 3*v, -26 = 2*v - 6*a + 3*a. Find the common denominator of 1/(-18)*v/((-228)/(-464)) and 4/57.
513
Let o(y) = -178*y + 800. Calculate the lowest common multiple of o(4) and 28.
616
Let c = 17571 + -3584495/204. What is the common denominator of c and 79/18?
612
Let b(x) = 2*x**3 - 191*x**2 - 704*x + 1195. Let d = 7 + -5. What is the least common multiple of b(99) and d?
1