4845/8 + r. Calculate the common denominator of -11/12 and m.
84
Let r(y) = 2*y**3 - 6*y**2 - 15*y - 12. Let z be r(6). Suppose 5*u = -3*g + 103, -5*g - 2*u + z = -g. Calculate the least common multiple of g and 20.
260
Calculate the common denominator of -81/8 and 1/(9 - 13167/1273).
360
Suppose 25*y - 28*y = -1095. Calculate the common denominator of 2/2 - 2*y/465 and -27/11.
1023
Suppose 2*n - 319*x = -318*x + 83, x = 5. Suppose 1 = 5*f - 19. Calculate the least common multiple of f and n.
44
Find the common denominator of (204/(-136))/(211/(-2)) and 44/21.
4431
Let y(t) = -4*t**2 - 13*t - 4. Let r = -77 + 67. Let u be y(r). Calculate the common denominator of (7 - (-306)/(-42)) + u/(-175) and -15/8.
200
Calculate the lowest common multiple of (5 - (0 - -2))/1 - (111 - 329) and 11.
2431
Let t = -29134 - -11017. Let f = t + 10254153/566. Calculate the common denominator of 13/2 and f.
566
Let u = 125777/110124 + 29/1748. Find the common denominator of u and -163/42.
126
Let x = -149/13 + 1583/78. Calculate the common denominator of x and 1765/(-1140) + (-1)/(-1).
228
Let m = -123769 + 71290985/576. Find the common denominator of m and 91/18.
576
Suppose -61*h + 60*h = 0. Suppose 3*w + 624 - 627 = h. Let b = 8 - -3. What is the least common multiple of b and w?
11
Suppose -40 = 2*j - 3*j - 3*a, 2*a = -j + 44. Suppose -f + j = f. Calculate the common denominator of 31/22 and f/252 + 1/9.
154
Suppose 10*v + 317 = -3573. Let r = 21394/55 + v. What is the common denominator of 58/75 and r?
825
Let l(s) = -s**3 + 6*s**2 + 7*s + 2. Let o = -106 + 112. Suppose -o*i + 352 = 10*i. What is the smallest common multiple of i and l(7)?
22
Let c(z) = 6*z**3 - 24*z**2 - 2*z + 14. What is the smallest common multiple of 2002 and c(5)?
2002
Suppose -14 = 2*s + 3*n, 2*s = -5*n + 3*n - 12. Find the common denominator of -14/3 and 4356/(-1083) - s/((-6)/(-6)).
1083
Find the common denominator of 69/1804 and 15129/(-3444)*14/(-660).
18040
Let p = -23626 + 661609/28. Calculate the common denominator of p and 53/1420.
9940
Suppose -8*w + 157 = 29. Suppose -183*x - w = -184*x. Calculate the smallest common multiple of x and 92.
368
Let c(r) = 13*r**3 - 1. Let j(s) = -s**2 + 20*s - 91. Let m be j(10). Suppose m*v + 53 = 161. What is the least common multiple of c(1) and v?
12
Let q = -224207/2932203 - -122/1857. What is the common denominator of 21 and q?
1579
Let p(c) = c**3 - 19*c**2 - 21*c + 28. Let h be p(20). Suppose -h*z + 363 = 3*z. Suppose 2*y - 69 = -z. What is the smallest common multiple of y and 15?
90
Calculate the smallest common multiple of 3040 and 6608/60 + (4755/(-225) - -21).
33440
What is the common denominator of -187/4680 and (7 - 3) + -2 + (-80507)/40040?
51480
Let x = -3216 + 3228. What is the lowest common multiple of x and 132?
132
Let m = 62205 - 62195. Let y(s) = 16*s**2 + s - 1. Let u be 2/(-9) + (-22)/(-18). What is the smallest common multiple of y(u) and m?
80
Suppose 4*c - 4*m - 248 = 0, -11*m + 240 = 4*c - 7*m. Suppose 0 = -c*k + 71*k - 90. Calculate the lowest common multiple of 3 and k.
9
Let d be ((-620636)/216)/(15/1295). Let y = d - -248062. What is the common denominator of y and -99/14?
1134
Let a(s) = -s - 1. Let x be (2/(-5))/((-12)/(-720)). What is the least common multiple of a(-11) and 6*(-4)/(x/26)?
130
Let w(r) = 24*r + 28*r - 3*r - 8*r - 88 - 2*r. Calculate the lowest common multiple of w(8) and 16.
224
Calculate the least common multiple of 355 and 7812/(70/5) + 10.
2840
Let w be (4 - 7) + -1 + -1. Let k be (1 - -1) + (-5 - w). Calculate the least common multiple of 14 - (-2 + k)/(-3) and 10.
70
Suppose 0 = -4*f + 28, 7*h - 643 = -4*f + 1849. What is the smallest common multiple of (-6)/12*4*-3 and h?
1056
Let b = -15293 + 15303. Calculate the smallest common multiple of 538 and b.
2690
Let x(o) = -o**2 + 389*o + 8673. Calculate the lowest common multiple of x(-21) and 714.
2142
Let v = -177719 + 40520039/228. Calculate the common denominator of v and 89/836.
2508
Find the common denominator of 2*(-1561)/(-17046) + ((-340)/153 - -2) and 12/5.
4735
What is the common denominator of (-97)/18*7/(-7 + 14) and -7/1384?
12456
Let p(r) = 17*r - 13. Let b = -57 + 61. Let o be p(b). Let n = 65 - o. Calculate the lowest common multiple of n and 8.
40
What is the common denominator of ((-1 - 28) + (-2)/(-3))/((-69552)/13041) and 23/18660?
74640
Let s(q) = q**3 + 8*q**2 - 2*q - 12. Let l be s(-8). Suppose 85 = l*x + 37. Suppose -114 = 9*j - 123. Calculate the lowest common multiple of j and x.
12
Let v(z) = -z - 1. Let c be v(-3). Suppose 4*w = s + 52 + 60, 5*w + 2*s - 127 = 0. What is the lowest common multiple of c/(-3)*(-27)/9 and w?
54
Suppose -3*s = -y - 19, 9 = -16*s + 21*s + 4*y. Suppose -s*o + 35 = 3*b - 19, 0 = -3*o + 2*b + 21. Calculate the smallest common multiple of o and 84.
252
Suppose 9 + 3231 = 40*g. Calculate the least common multiple of g and 486.
486
Let b(j) = -13*j - 48. Let d be b(-4). Calculate the smallest common multiple of 6 and ((-156)/(-65))/(d/5).
6
Suppose 2*p = -y + 119, 4*y + y = -5. Suppose 0 = -3*t + t + 14. Calculate the common denominator of -115/6 and (552/p)/(t/(-5)).
42
Find the common denominator of -3*(-1)/6 + (-3289)/2576 and 31/176.
1232
Suppose -11 - 1 = b. Let z be ((-47)/b)/((-42)/40684). Let w = z - -3793. Calculate the common denominator of 83/6 and w.
18
Let f be 67*(-1 - 0) + (-7 - -5). Let r = -72 - f. Let w = r + 15. What is the least common multiple of 26 and w?
156
Let f = 5711 - -883. Calculate the lowest common multiple of f and 4.
13188
Let n be (-6)/(-12)*(-6)/3. Let r(o) = -48*o**3 + 3*o**2 + 5*o + 3. Calculate the lowest common multiple of r(n) and 56.
392
Suppose -375934 = -29*w - 187*w - 33358. Calculate the least common multiple of 2 and w.
1586
Let k = -19981 - -20008. Calculate the least common multiple of k and (-114)/(-4)*(-8)/(-2).
1026
Calculate the common denominator of (3 - 1897/630)/((-1)/(-41)) and 52/15.
90
What is the common denominator of 19/40 and (-2)/(45 - -5)*((-128)/(-11) + -9)?
2200
Suppose 4 = -f, -f = -2*r + 3*f + 88. Calculate the smallest common multiple of (34 - (41 - 32)) + -7 + 0 and r.
36
Let v = 6277476/149 - 42131. Find the common denominator of 51/4 and v.
596
Let j = 274087913/210 - 1305178. Let g = j - 13/60. Find the common denominator of -8/5 and g.
140
Let t(w) = w**2 + 36*w - 121. Let g be t(-38). Find the common denominator of -53/60 and (-1059)/702 + (-20)/g.
780
Let k be (-82930)/6 + (-46)/(-69). Let z = k + 622034/45. Calculate the common denominator of z and -36/5.
45
What is the common denominator of 125/1134 and 4*2 + (27208/(-120))/19?
5670
Let a = -1302880467/4304459276 + -208/433393. Let b = -530/573 - a. What is the common denominator of b and -7/4?
156
Suppose -3*j - 2*j = -110. Let v(q) = -2*q - 3 - 4 + 3 - q. Calculate the least common multiple of v(-4) and j.
88
Let k = -245 - -542. Suppose k = 26*h + h. Calculate the least common multiple of h and ((-15)/(-6) + -2)*2.
11
Let m = -690/13 + 6473/156. What is the common denominator of m and 55/108?
108
Let x = 28699/276 + -6016/23. Let c = 157 + x. Calculate the common denominator of c and (-1)/(-2)*6 - (-1729)/1911.
84
Let o(q) = -q**2 + 11*q - 18. Let r be o(9). Suppose r = 10*f + 3*f - 130. What is the lowest common multiple of 624 and f?
3120
What is the common denominator of -4 - ((-46)/16 + 3) and 10 - (-6 - (-4423)/282)?
1128
Let i = -47068451/436 + 107955. Find the common denominator of 69/1744 and i.
1744
Let p = 119536277/306 + -390641. Calculate the common denominator of -29/86 and p.
13158
Let u = 122 - 42. Suppose -4*b - 2*l + 113 = b, u = 4*b - l. Suppose 5*p = 5*s + 125, -5*p + 4*p = -3*s - 33. What is the smallest common multiple of b and p?
21
What is the common denominator of 31/909 and (11150446/232300 - 48)/(2/(-26))?
45450
Suppose u + 18*f - 16*f - 12 = 0, 2*u - 3 = 3*f. Suppose -74 = -u*m + 34. What is the least common multiple of m and 42?
126
Let o(p) = 12*p - 108. Let d be o(13). Calculate the common denominator of -99/56 and ((-83)/d)/((-3)/12).
168
What is the lowest common multiple of 294 and ((-10422)/45 + 16)*(2 - 7)?
3234
Suppose 5*z - 9356 = -3*c + 1315, z - 2129 = 2*c. What is the least common multiple of z and 27?
2133
What is the 