66
Calculate the common denominator of (-8)/48 + 1/2 - 7733/19380 and 53/170.
1020
Suppose -4*c + 1271 = 1263, -u = -c - 338. What is the lowest common multiple of u and 8?
680
Let s = 1458 + -1007. Let h = -371 + s. What is the lowest common multiple of 44 and h?
880
Let o(p) = -p**2 + 2*p - 69. Let f be o(0). Let x = f - -45. What is the common denominator of -43/44 and x/54*393/16?
132
Let i(v) = v**3 + 11*v**2 + 42*v + 516. Calculate the least common multiple of i(-11) and 1044.
3132
Suppose 3460*o = 3395*o + 13520. Calculate the lowest common multiple of o and 304.
3952
Let m be 46371/(-260)*(20/(-6) - -3). Let l = 323/5 - m. Calculate the common denominator of -11/6 and l.
60
Let i(b) = 2228*b**2 - 9*b - 9. Calculate the least common multiple of i(-1) and 9.
20052
Suppose -5*z = 5*a + 728 + 222, 0 = 5*a - 2*z + 964. Find the common denominator of (-4 + 3 - 1)/(a/968) and -59/36.
36
Suppose -5*n = 11 - 41. Let x = 67 - 27. Suppose -3*b + 33 = 4*u, -4*b + x + 3 = 5*u. What is the least common multiple of b and n?
42
Let h(y) = 2*y + 7. Let g be h(-4). Let r be ((-20)/6)/g - 2/6. Suppose 13 = 5*k + r. What is the least common multiple of 33 and k?
66
Let j be (-8)/(-6)*180/(-24). Let a = -42085/12 - -3514. Find the common denominator of a and (-57)/32*j/(-6).
96
Let s be (8970/(-678))/(-5) - 3. Let w = s + -5436/1243. Calculate the common denominator of w and -17/4.
44
Let o = 2/155899 - -5612350/1091293. Calculate the common denominator of o and 1/3 + (-128)/42.
7
Let o be 622/(-2082) - (-1)/3. Let j = -31337/6940 - o. What is the common denominator of j and 3051/492 - (-4)/82?
20
Let a(r) = r**3 - 12*r**2 - 61*r - 153. Calculate the lowest common multiple of a(19) and 3.
1215
Let i = -243 - -242. What is the least common multiple of ((-94)/(-611))/(i/(-13)) and 309?
618
Let o(r) = -r**2 - 7*r + 22. Suppose 3*k - 48 = -k. Let g = k + 8. What is the lowest common multiple of o(-7) and g?
220
Find the common denominator of (-41)/(-110)*22/(1848/63) and 117/1100.
2200
Suppose 0 = -5*o + 4*f - 1554 - 328, -2*f = 5*o + 1894. Calculate the smallest common multiple of 148 and 6*7/(o/12)*-12.
592
Suppose 63*c - 69*c = 204. Let d = -20 - -42. What is the least common multiple of c/51*(0 + -3) and d?
22
Calculate the common denominator of ((-486)/(-12))/(1 - 6) and 139/(-30) + 160/((-220)/(-11)).
30
Let x(t) = 7*t - 101. Let f be x(14). What is the common denominator of 65/(-12)*22/(-10) and (-1)/f - (7 - 1165/90)?
36
What is the least common multiple of 636 and (-1870)/(-66) + (-65)/15?
1272
What is the smallest common multiple of 592*((-98)/(-637) - 9/(-26)) and 22?
3256
Let k = 48 - 118. Let a = 137 + k. Calculate the smallest common multiple of a and 2.
134
Suppose -13*f + 2*f = -144 - 285. What is the least common multiple of f and 1089?
14157
Suppose 0 = -l + 460 - 140. Suppose -123*j = -128*j + l. What is the least common multiple of 52 and j?
832
Calculate the common denominator of 2/13 - 270320/2202395 and 115/14.
15302
Let h = -65/49 - 1487/98. Suppose 5*x + 0*x + 80 = 0. Find the common denominator of h and (-52)/(-21)*(-6)/x.
14
Let h = 2/4391 - 171329/175640. What is the common denominator of -59/404 and h?
4040
Let v(y) = -3587*y**3 - 6*y - 5. Let i be v(-1). Find the common denominator of 101/16 and (-28)/(-322) - (-3598)/i.
624
Let c(s) = -s**3 - s - 4. Let q be c(-2). Suppose -116 = -4*d - 5*v, 2*v - q - 2 = 0. Calculate the least common multiple of 138 and d.
552
Let n be (3 + 116/(-20))/(3/(-15)). Let m be (n - -1)/1*8/6. Calculate the common denominator of -89/10 and (18/(-30) - 69/m)*-1.
20
Let r = -26161/6 - -4377. What is the common denominator of r and 2 + -3 + 128/90?
90
Suppose 0 = g + 105 - 107. Let w(o) = -2*o + 11. Calculate the least common multiple of w(-11) and g + (1*-14)/((-3)/6).
330
Let c = -110986073/742 + 149577. What is the common denominator of c and -34/217?
23002
Let b be 274/478*(4 + (-8458709)/6). Let a = -808117 - b. What is the common denominator of a and 73/8?
5736
Suppose 0 = 4*c - 20, 12*o - 3*c - 1701 = 8*o. What is the common denominator of 22/(-36)*o/91 and 65/4?
84
Suppose -439 = -2*k - o, 0 = 60*k - 64*k - 4*o + 876. What is the smallest common multiple of k and 836?
4180
Suppose 122*u = 124*u + 22. Calculate the common denominator of 19/8 and (-10989)/34848 - (1 + 10/u).
32
Let m(x) = -3*x - 279 + 135 + 133 + 0*x**3 + x**3 + 2*x**2 + 3*x**2. Calculate the lowest common multiple of m(4) and 88.
968
Let k be 2*(-1 + 3)*(-3 + 82). Let t = 319 - k. What is the smallest common multiple of 52 and t?
156
Suppose -541*m - 874 + 758 = -4444. Calculate the smallest common multiple of m and 3861.
30888
Let l = -6077667/1330 + 31987/7. What is the common denominator of l and 151/1330?
1330
What is the common denominator of 93/592 and (-3)/(108/40)*(11160/4736)/(-15)?
1776
Find the common denominator of 36/(-72) + (-358)/(-308) and (-34)/119*2/(-9).
693
Let s be 3492/(-126) - ((-27)/(-21) + -1). What is the least common multiple of (-4)/s + 1917/7 and 6?
822
Suppose 63 = s + 36. Let b(i) = 6*i + 3. Let d be b(s). Suppose 3*p = o + 6 - 57, -d = -4*o - p. Calculate the smallest common multiple of o and 7.
42
Let o = 9693 - 523331/54. What is the common denominator of o and -20*4/(-16) + 17/(-4)?
108
Let k(j) = -197*j + 133. Calculate the least common multiple of k(-1) and 18.
990
Let a(n) = -n**3 + 10*n**2 - 15*n + 2. Let c be a(8). Let g = 6 - c. What is the least common multiple of 10 and 2*-1 + (-4 - g) + 3?
10
Let g = 1363 + -1952. Let v = -571 - g. Calculate the least common multiple of v and 6.
18
Let p be 208/(-65)*((-11)/(-2) + -3). Let r = 43407/3496 - 18/437. What is the common denominator of (-106)/(-36) + 9/108*p and r?
72
Let j(x) = 31*x**2 + 2. Let g be j(2). Suppose -7*f = 2*f - g. Find the common denominator of 2 - 20 - 1/4 and f.
4
What is the smallest common multiple of 2 and ((-2)/(-4)*-2)/(153787/11832 + -13)?
408
Suppose -190 = -4*a + 34. What is the lowest common multiple of 23 + (1/4)/(14/a) and (-3)/((-24)/(-26) - 1)?
312
Calculate the common denominator of 56/5661 and (1 + 1222/(-546))/(2*74/2).
39627
Let q = -8838 + 9399. What is the least common multiple of q and 33?
561
Let j(y) = y**3 + 11*y**2 - 31*y - 30. Let b be j(-12). Find the common denominator of 81/62 and (-144)/(-648) - (0 - (-881)/b).
682
Let d = 263963/16 + -16492. Find the common denominator of d and (-4)/(-5) + (-4152)/3440.
688
Suppose -15 = -26*z + 37. What is the lowest common multiple of 8 and 2/(5 - z - 4 - -2)?
8
Suppose 2*f - 105 + 25 = 0. Suppose 2*z + 3*z = f. What is the least common multiple of z and (4/(-3))/((-10)/15)?
8
Calculate the common denominator of ((-62)/217 + (-1082)/(-210))*9/258 and 43/3.
1290
Let l = 82192 + -30821956/375. Find the common denominator of -107/24 and l.
3000
Let j be 13/(-20)*2235/226. Let i = j + 6/113. Let o = 17389 - 347873/20. Find the common denominator of o and i.
40
Calculate the least common multiple of 315 and 67450/760 - (-10)/8.
630
Let q be (726/20)/(16/(-5) + 2). Let j = q + 81/2. What is the common denominator of -49/10 and j?
20
Let t(s) = -85*s + 1666. What is the lowest common multiple of t(14) and 153?
4284
Suppose -17*d - 4070 = 1897. Let v = -321 - d. What is the smallest common multiple of 10 and v?
30
Let r = -2 - -5. Let p(i) = 0*i**2 + 9*i**2 - 74 + 0*i + 4*i - 8*i**2. Calculate the lowest common multiple of r and p(7).
3
Calculate the common denominator of -67/14 and 5/(((-45)/540)/(6/(-1336))).
2338
Let o(s) = -614*s**2 - 8*s - 18. Let q be o(8). Let b = -6458021/164 - q. Calculate the common denominator of b and -49/12.
492
Suppose 1099*x - 1096*x - 144 = 0. What is the lowest common multiple of x and 39?
624
Let f(q) = -q**3 - q**2 + 5*q - 1. Let x be ((-2)/(-6))/(5/1140). Let t = 72 - x. What is the lowest common multiple of 18 and f(t)?
54
Let c be 3/(0 - -3) - (-474)/(-440). Let p = c + -2381/220. Find the common denominator of 45/16 and p.
80
Suppose 0 = -89*w + 101 + 77. What is the lowest common multiple of 2765 and w?
5530
Let x = -118/33 + -1/11. Suppose -2*c - 4*v + 36 = -52, 97 = 3*c - v. Find the common denominator of x and c/10*(-90)/72.
12
Let s = -58 + 62. Suppose s*p + p - 100 = 0. Suppose 0 = -7*c + 15*c - 112. What is the lowest