
270
Let x = -3409 - -3419. Calculate the smallest common multiple of 300 and x.
300
Let o(p) = -24*p**2 - 11*p + 5. Let i be o(5). Let q be ((-6)/(-5))/(2 + 1305/i). What is the common denominator of 101/18 and (90/(-20))/(3/(-33)*q)?
936
Let y be (22/22)/((-2)/226). Let l = 212 + y. Calculate the smallest common multiple of l and 15.
495
Suppose -4*x = -t - 11584, 3*x + 24*t - 8665 = 19*t. Let h = 57949/20 - x. What is the common denominator of h and -21/46?
460
Suppose -14 = 2*v - 9*v. Suppose 4*g = -4*a - 38 + 486, v*a = 6. What is the lowest common multiple of g and 5?
545
Let q = -6137/8 - -770. Let g = -347889/177100 - -1/12650. Find the common denominator of g and q.
56
Find the common denominator of 72135/9504 + -9 - (-6)/4 and 29/2.
1056
Let n = 447221/21900 - 8/1825. Let c = 217/6 - n. What is the common denominator of c and 23/290?
580
Find the common denominator of (-37913)/18848 + ((-21)/(-19) - 1) and 101/836.
6688
Suppose 22*v + 28 - 248 = 0. Suppose 3*b - v = a, 23 - 21 = -2*a. What is the least common multiple of b and 48?
48
Calculate the least common multiple of (1552 + -8)/2 - (-16)/(-8) and 140.
1540
Let j(y) = -y**3 + 16*y**2 - 61*y + 618. Calculate the smallest common multiple of j(13) and 415.
1660
Let t(q) = -2*q**2 + 7*q - 68. Let p be t(15). Let d = 419 + p. Calculate the lowest common multiple of 182 and d.
546
Let u = 1435/6 - 5809/24. What is the common denominator of 52/(-108) + 1 + (-13)/65 and u?
1080
Let k(d) = -2*d - 49. Let l be k(-27). Calculate the smallest common multiple of 3 and 2*(l + 2 + -8 + 6).
30
Let a(v) = -28*v + 1. Let c be a(-2). Let p = c - 217/4. Let k = -384126/5 - -76825. Find the common denominator of p and k.
20
Let t(n) = -n**3 - 85*n - 1212. What is the smallest common multiple of 36 and t(-12)?
4608
Let w(t) = -477*t - 801. What is the smallest common multiple of w(-5) and 396?
1584
Let a = 34 + -20. Let f be 64/(-6)*(-12)/(-4). Calculate the least common multiple of (f/12)/(30/(-27) - -1) and a.
168
Suppose 13*x = -14*x + 27. Suppose 2*d - 49 = -x. What is the least common multiple of 6 and d?
24
Suppose -5*f - 26 = -3*y - f, -5*y + 24 = 3*f. Let a(z) = 2*z**2 - z + 4. Let k be a(y). What is the common denominator of 67/3 and (22/14)/(120/k)?
12
Let k = 762670/31 - 24601. Find the common denominator of 97/94 and k.
2914
Suppose 0 = 22*v - 18*v - 8. Let l(x) = -25*x + 0 - v + 23*x + 6. What is the smallest common multiple of 4 and l(-2)?
8
Let x(n) = -21*n**2 + 10*n - 21. Let g be x(-7). Let t = -3410/3 - g. Let y = -53845/50994 - -1/2833. What is the common denominator of t and y?
18
Let q = 961894060/2111 - 455658. Let f = q + 108386/132993. Find the common denominator of -44/49 and f.
441
Let y be 6 - 0 - (51 - (5 + -14)). Let z = y - -91/2. What is the common denominator of (2 - 51/38) + 1 and z?
38
Let f = 2087/1053 + -416/81. Find the common denominator of f and 6/857.
11141
Let j = -1849 + 1855. Calculate the least common multiple of j and 16.
48
Suppose -15*q - 5*y + 132 = -11*q, 3*q - 5*y - 99 = 0. Calculate the lowest common multiple of q and (-2)/9 + (-785)/(-9).
957
Let f = -202591 + 155184751/766. Find the common denominator of f and 73/22.
8426
Suppose 12*y + 208 - 2107 = 1125. What is the lowest common multiple of 448 and y?
4032
Let c be ((-4)/(96/(-477)))/(5220/952). Let l = 124/87 + c. Find the common denominator of l and 9/48 + -3 + 0.
80
Let k = 3441 + -6290. Let w = k - 139. Calculate the common denominator of -77/20 and w/48*(-4)/(-54).
180
Suppose 40 = -51*u + 56*u. Let n(x) = 2*x - 27. Let q be n(u). Let t = q - -44. What is the lowest common multiple of t and 27?
297
Let k = 63 + 22. Suppose 30 = 5*u - k. Suppose u*i - 19*i - 8 = 0. What is the least common multiple of 9 and i?
18
Let k(o) = 0*o**3 - 4 + 8*o**2 + 4*o - o**3 - 2*o**2 + 2*o**3. Let x(z) = 3*z**2 + z. Calculate the smallest common multiple of k(-5) and x(-2).
10
Let k = 443/70 - 181/30. Find the common denominator of k and 6 - (9/54*3 - (-54)/40).
420
Suppose -5*l = -3*c + 1, 6*c = c + 10. Let w be (-19 - -13)*2/6*-10. Calculate the lowest common multiple of l and -14*(-5)/w + 3/(-2).
2
Let g = 41602110/1759 - 23651. Let t = g + -89716/12313. Let d = 50/83 - -4829/664. What is the common denominator of t and d?
56
Let z = -535/4 + 1373/12. What is the common denominator of z and -49/165?
165
Suppose 0 = -4*f - f + 30. Calculate the common denominator of f/8*(-95)/(-3) and 2*(-82)/16 - 8.
4
What is the smallest common multiple of ((-11)/(-4))/(((-1200)/(-30))/1760) and 308?
3388
Let g(t) = 10*t**2 - 49*t + 363. What is the smallest common multiple of g(9) and 1342?
8052
Suppose -13 = -s - 1. Suppose -220 = -4*o - 15*x + 20*x, x = 4*o - 204. Calculate the lowest common multiple of s and o.
300
Suppose -2*j + 4*h = 60, 4*j - j + h + 69 = 0. Let u be 56206/j - (-3)/(-9). Let c = -2324 - u. What is the common denominator of -29/43 and c?
172
Let m = -6228/5 + 1128. Let c = -1551/10 - m. What is the common denominator of c and ((-904)/(-60) - 2/12) + -5?
10
Let p be 3/36*-2 + 41820/90. Let v = 500 - p. What is the common denominator of v and 49/188?
188
Let p be (-3*(-2)/(-6))/(3/(-1515)). What is the common denominator of 11/30 and 0 + -1 - p/120?
120
Suppose 2*k - 566 = -5*w + 3*w, 3*k - 842 = 4*w. Let s = k - 124. What is the least common multiple of s and 10?
790
Let d(v) = -2*v**2 - 23*v - 4. Let h be d(-12). Let z(x) = x**3 - 2*x**2 - 2*x. Calculate the least common multiple of 1*(2 + 3) + 41 + h and z(4).
120
Let t = 15/2699 + -31859/5246856. Calculate the common denominator of -83/312 and t.
25272
Suppose 0 = 19*i - 874 + 76. Calculate the least common multiple of (-160)/(-9) - 4/18*-1 and i.
126
Suppose -65 + 785 = 4*v. Suppose 0 = 44*b - 50*b + v. Calculate the smallest common multiple of 24 and b.
120
Let r = -55 + 77. Suppose 0 = -5*w + 102 + 23. Suppose 0 = -4*u + w + 23. Calculate the least common multiple of u and r.
132
Calculate the smallest common multiple of 209 and 10 + (238/14 - -182).
209
Let f be 0 + (-1)/(-4) - 3699/(-36). Let n = f + -102. Calculate the lowest common multiple of (3 - -3)/(n + 1)*8 and 3.
24
Let r = 16204 - 16138. Let m = 17 + -9. What is the lowest common multiple of m and r?
264
Let u(h) = 101*h**2 - 6*h - 81. Calculate the smallest common multiple of u(6) and 759.
38709
Let u = 27 - -31. Suppose -l = -q - 4*q + u, 6 = q - 3*l. Suppose 68 = 6*v + 14. What is the lowest common multiple of q and v?
36
Suppose -978*f = -952*f - 6240. What is the smallest common multiple of 330 and f?
2640
Let i(c) = 3*c**2 + 13*c - 12. Let o be i(-10). Let a be -5 + ((-1047)/(-6) - -2). Let v = a - o. Find the common denominator of v and 29/4.
4
Let r(x) = -2*x**3 + 2*x**2 - 2*x + 2. Calculate the common denominator of 0 - -3 - ((-302)/(-32) + -1) and r(3).
16
Suppose -699*k + 714*k = 405. Calculate the lowest common multiple of 1107 and k.
1107
Suppose 5*f - 10 = -3*r, -5*f - 4*r - 51 + 56 = 0. Suppose 6*a + 3*j = 2*a + 54, 64 = f*a + 2*j. Calculate the least common multiple of 64 and a.
192
Suppose -664*l = -623*l - 6560. What is the lowest common multiple of 20 and l?
160
Suppose 922*p = 906*p + 20320. Calculate the lowest common multiple of 120 and p.
15240
Let j(m) = 4*m**3 + 4*m**2 - 20*m + 36. Calculate the least common multiple of 9 and j(12).
21852
Suppose 2*y = -y + 516. Let p(l) = -133*l**3 + 14*l**2 - 12*l + 3. Let o be p(1). Let t = y + o. Calculate the least common multiple of t and 16.
176
Let c = -22068/11 - -2003. What is the common denominator of ((-25)/(-6))/(208 - 217) and c?
594
Suppose -3*a = -p - 4158, 15*p = -4*a + 14*p + 5544. What is the smallest common multiple of a and 441?
9702
Find the common denominator of 2432/630 - (-7 - (11 + -22)) and 71/2.
630
Find the common denominator of -2 + ((-217)/29605)/(3 - 4551/1515) and -101/1528.
1528
Let i = -2136433/186 - -45945/4. Find the common denominator of i and 37/32.
2976
Let y(i) = -i**2 + 11*i + 26. Suppose -2*w + 4*w - o - 9 = 0, 3*w + o = 1. Let k be w/(-10) + 448/40. Calculate the lowest common multiple of 4 and y(k).
52
Let u be (-3)/(-2) - (-18)/12. Let f be u - 0 - (0 - -4). Calculate the common denominator of 2256/128 - f/8 and 43/4.
4
Let g = 2326 + -1346. What is the lowest common multiple o