(0 - 3/(-12)).
390
What is the common denominator of 8*(-1)/(-28) + 85/1260*-94 and -50/537?
3222
Let q(r) = -r**2 - 24*r + 17. Let n be q(-25). Let g = -7 + n. Find the common denominator of g/(-7) - (-32)/56 and -47/37.
259
Suppose -13*y - 938 = 1077. Let t = y + 275. What is the least common multiple of 132 and t?
1320
What is the common denominator of (-1)/(1 - (-154)/(-214)) and 11/(-22)*3/(-81)*-67?
270
Find the common denominator of 34/429 and ((-35)/(-245) - 4/(-21)) + 334/(-468).
2574
Suppose 10*a - 8*a + 118 = 2*h, 5*h + a - 277 = 0. Suppose -3*w = -111 - 81. Let j = w - h. Calculate the smallest common multiple of j and 2.
8
Suppose 0 = -4546*h + 4565*h - 418. Calculate the smallest common multiple of h and 1012.
1012
Let o be (-39)/(-9) - (-3)/((-45)/(-10)). Suppose -280 = -o*r - 4*k, -2*k = -r - 1 + 71. Calculate the smallest common multiple of 12 and r.
60
Find the common denominator of -1/4 and 3/(-175)*5/(-22)*262/(-6).
1540
Calculate the smallest common multiple of 143 and ((-248)/(-20) - 8)*(-2 - -2 - -5).
286
Suppose 44 = -7*f + 16. Suppose -57 - 3 = -3*k. What is the lowest common multiple of k and 20/(-2)*(f + 3)?
20
Let c(i) = -64*i - 1400. What is the least common multiple of 1430 and c(-30)?
5720
Suppose d - 822 = -5*f, 0 = 3*f + 7*d - 2*d - 502. What is the lowest common multiple of f and 984?
984
Let u = -13402/7 + 2653403/1386. What is the common denominator of -23/252 and u?
2772
Find the common denominator of 36/(-210)*(-13)/(442/24) and 89/340.
2380
Let p = -304/75 + -1451/450. Find the common denominator of (4 - 732/63) + (-3 - -7) and p.
126
Calculate the common denominator of -127/1548 and 5 + 8 + (-69935)/3870 + 5.
1548
Let p = 24592 - 24583. What is the smallest common multiple of 1044 and p?
1044
Let x be (-2)/(5/15 - 1). Let j be (3 + 0)*(-28)/x. Let m = 31 + j. What is the least common multiple of m and 1?
3
Let u = 23186 - 22311. What is the lowest common multiple of u and 21?
2625
Suppose 3*y - 4*b - 2874 = 3430, 0 = y + 5*b - 2095. What is the least common multiple of 3780 and y?
18900
Let k = -63835089/308 - -207257. Calculate the common denominator of -47/5 and k.
1540
Let q be (9/(-6) + 2)/((-2)/264). Let y = -64 - q. Calculate the common denominator of 25/18 and (-2)/(-176)*27 + (-1)/y.
792
Let n = 16223/27993 - 18/31. Find the common denominator of -47/12 and n.
3612
Let c = 391 + -375. Find the common denominator of -121/20 and 198/c - (7/(-7) + 5).
40
What is the lowest common multiple of (60 - 4773/86)*66/27 and (0 + 2)*(-17)/(-2)?
187
Find the common denominator of 25/44 and 399/594 + (120/(-15))/16.
396
Let x be 7 - (6 - (-2026392)/2026408). Let z = -30142675/18237672 - x. What is the common denominator of z and -55/9?
72
Let t be 13231332/(-720) - 2/2. Let y = t + 18372. Calculate the common denominator of y and 53/114.
1140
Suppose 1017*b + 90 = 1019*b + x, 11*b - 3*x = 495. Calculate the least common multiple of (-1 + (-14)/(-8))*4 and b.
45
Let c = -23 - -24. Let i be 24*(-186)/45 - c/(-5). What is the common denominator of -45/7 and (1 - i/7)/(-5 - -3)?
7
Suppose -10 - 3 = -13*l. Calculate the smallest common multiple of (1056/336)/(l/14) and 52.
572
Let x be (-5 - 0) + (2 - 3*-2). Suppose -4*f - x*q = -34, -3*q + 1 = f - 3. Calculate the least common multiple of f and 32.
160
Suppose -14*o + 498 + 384 = 0. Let k(w) = 20*w - 1. What is the lowest common multiple of o and k(2)?
819
Let l(d) = -d**2 - 109*d + 2306. Calculate the lowest common multiple of 54 and l(-98).
10152
Suppose 0*d - 3*v - 6 = -2*d, -4*v - 8 = d. Suppose 0*q - 5*q - 3*s = -19, d = -3*q + 2*s. Find the common denominator of -37/2 and (q - (-177)/(-14)) + 4.
14
Calculate the lowest common multiple of 16 and (-1 - 3*-1) + -2 + 1121812/566.
15856
Let a = -24634 + 25194. What is the smallest common multiple of a and 112?
560
Suppose -2*u + 3*u = 3*f - 3, 2*u = 4*f - 2. Suppose r + 20 = -4*w, f*r - 10 = 4*r + 2*w. Let c(v) = v + 26. Calculate the least common multiple of c(r) and 4.
52
Let l be (-6)/(-24)*596 + 7. Suppose -19*x - l = -555. What is the lowest common multiple of x and 30?
210
Let i be (-5)/110*(-5263 + -2). Let w = 475093/77 + -41523/7. Let o = i - w. Calculate the common denominator of -101/18 and o.
198
Let o(d) = -290 + 4*d + 4*d**3 + 296 + 6*d**2 - 4*d**3 + d**3. What is the smallest common multiple of 66/4 - 2/4 and o(-4)?
176
Let l be (-1 + -1238)/(378/308). Let x = l + 1011. What is the common denominator of 127/120 and x?
360
Let w = -71 + 75. Let d be (-482)/(-4) - (-24)/48. Suppose d - w = 13*c. Calculate the smallest common multiple of c and 9.
9
Let l = 1012261/465 - 10884/5. Find the common denominator of l and 39/155.
465
Suppose 4*y = 5*g - 3297, -2*g - 12*y + 1318 = -14*y. What is the lowest common multiple of 10 and g?
6610
Suppose -16*z + 10975 - 1855 = 0. Calculate the smallest common multiple of 16 and (91/(-35) - -5)/(4/z).
2736
Let u = 4751 - 4730. Let o = -91 - -148. What is the lowest common multiple of o and u?
399
Suppose -3*p = -1 + 13. Let y = 2 - p. Calculate the lowest common multiple of y and 3/(16/136 + 33/153).
18
Let t = -431/572 - -259/52. Let l be -5*(63/(-45) - 2/(-2)). What is the common denominator of t and 35/14 - l/10*-3?
110
Let q be (-60)/1*333/((-9)/(-1)). What is the common denominator of 9398/q*5*(-2)/(-12) and 58/9?
36
What is the common denominator of -109/14 and 0/2 + (8/(-41))/((-73)/365)?
574
Suppose -3*f = n + 2*n - 66, 5*f = 3*n - 34. Calculate the least common multiple of n and -14*(-12)/(-56)*-4.
36
Let t = 362 + -124. Let a = 37738/7 + -5132809/952. Calculate the common denominator of a and 39/(-39) - t/(-40).
680
Let m(z) be the second derivative of -z**5/20 - 4*z**4/3 + 17*z**3/3 - 17*z**2 - 104*z. What is the smallest common multiple of 17 and m(-18)?
34
Let u = 174 + 96. Calculate the least common multiple of 150 and u.
1350
Let i(n) = 2*n**2 - 14. Let p be i(5). Suppose -30*l + 204 = -p. Calculate the lowest common multiple of 9 and l.
72
Let b = -38 + -149. Let u = 199 + b. What is the least common multiple of u and 106?
636
Let y be -14*3/10*-10. Let x = -1355/52 - -347/13. What is the common denominator of (-39)/y + 3/(-1) and x?
364
Let w = -584/11 + 533/11. Suppose 0 = -619*l + 610*l + 252. Calculate the common denominator of w and (-77)/6 - 7/(l/16).
66
Let s(u) = 2*u**2 - 3*u - 4. Let j be s(5). Suppose 6*d = -3*g + 8*d + j, 0 = 5*g - 3*d - 51. Calculate the smallest common multiple of 60 and g.
180
Let l = -3662/2175 + 56/87. Let d = 1568275/13 - 120633. What is the common denominator of d and l?
325
Let f(c) = 12*c**2 + c - 1. Let r(s) = 3*s**2 + 8*s + 8. Let k be r(-7). Let m = -93 + k. What is the least common multiple of f(1) and m?
12
Let c be (-8870)/3836 + (0 - 1). Let d = -33/137 - c. Let t = 143881/12 - 12001. Calculate the common denominator of d and t.
84
Let b = -18 + 14. Let t = b + 6. Suppose 6 = -2*c + 24. Calculate the smallest common multiple of c and t.
18
Let u = -605522480/231 - -2621314. Let i = u + -50/21. Find the common denominator of 105/68 and i.
748
What is the smallest common multiple of 363 and (2052/24 - -3) + (2/4 - 1)?
2904
Let p(l) = -l**3 - 5*l**2 + 5*l + 6. Let f be p(-3). What is the least common multiple of 18 and (f/2)/(4/(-8))?
54
Let m be (0 + 4)/((-16)/(-20)). What is the common denominator of 644/(-147) - m/6 and -157/84?
84
Suppose -74*i + 796 = 156 - 396. What is the smallest common multiple of 2968 and i?
2968
Let i(x) = -92*x - 7256. Calculate the lowest common multiple of 441 and i(-130).
14112
Suppose -2*w = 2*g - 11 - 13, -g - 5*w = -28. Suppose 628 + 92 = -6*u. What is the lowest common multiple of g and ((-2)/(-4))/(3*(-5)/u)?
8
Find the common denominator of 54/32*(-40)/6 and 83 + -81 + 67/(-22) + 1.
44
Let f = 1/5322 + -42133/2661. Calculate the common denominator of -43/318 and f.
318
Suppose -m - 24 = 2*y - 5*m, 0 = -y + m - 8. Let z be y + 7 + (-1)/(9/(-14825)). Let h = 1656 - z. Calculate the common denominator of -32/31 and h.
279
Let o(s) = 21*s + 1022. What is the smallest common multiple of o(-40) and 208?
1456
What is the common denominator of 56/27 and (-31)/((-5239)/(-286)) - (-5)/3?
351
Let c = 55549407 - 1388536459/25. Let h = c + -7947. What is the common denominator of h