and y?
36
Calculate the smallest common multiple of 279 and 4*7/84*30 + 548.
558
Let n = 829/7 + -8577/70. Let r(x) = -3*x + 3. Let w be r(7). Find the common denominator of n and (92 + 3)*3/w.
30
Let q = 7/3921 + -48401/23526. What is the common denominator of q and 1*(-1)/(-34)*31?
306
Let d = 96 + -100. Calculate the common denominator of -151/36 and (-620)/336 - d/6.
252
Let j(x) = -64*x - 336. Suppose -356*n + 355*n - 7 = 0. What is the least common multiple of 44 and j(n)?
1232
What is the common denominator of (-99418)/9911 + 10 - 0 and -93/106?
1802
Let g be (-28246)/84 + (-48)/84. Let w = g - -111239/330. Calculate the common denominator of 67/20 and w.
220
Let i(w) = -w**2 + 12*w + 2. Let p be i(0). Suppose -4*l + j = -134, 116 = 3*l + p*j + 21. What is the least common multiple of (0 + 2 + -3)*-27 and l?
297
Let s = 1795 - -241. Calculate the smallest common multiple of 4 and s.
2036
Let w = 122319/1875776 + -2/4187. Find the common denominator of w and -41/168.
1344
Let d = 12/905 + -3994/905. Let f = 57702 - 3461969/60. What is the common denominator of d and f?
60
Let b(o) = 6*o**2 - 6*o + 9. Let d be b(7). Let x = d + -221. Calculate the lowest common multiple of x and 20.
40
Find the common denominator of (-81)/8 + (18/18)/((-2)/(-10)) and 113/5434.
21736
Let y = -3006519/140 + 21475. Find the common denominator of y and -81/322.
3220
Suppose u = 85 + 101. Suppose -80 = -3*t + 11*y - 16*y, 8 = t - y. What is the lowest common multiple of t and u?
930
Let s = -2783 - -250477/90. Calculate the common denominator of -1*3 + 417/162 and s.
270
Let l(a) = a**2 - 8*a - 29. Let s be l(11). Find the common denominator of -19/44 and ((-1)/s)/((40/(-6))/(-2)).
440
Find the common denominator of (-58)/1421 - 16568/(-50568) and (-1 - -2) + 235/(-45).
387
Let k(d) = 4*d**2 + 38*d - 100. Calculate the lowest common multiple of k(-18) and 64.
512
Find the common denominator of 83/3344 and ((-4335)/25840)/(45/(-84)).
16720
Suppose -530 - 20 = -10*f. Suppose -11 = d - f. Calculate the lowest common multiple of 28 and d.
308
Calculate the smallest common multiple of 3 and (34 + (-186)/9)/(1/(8*18)).
1920
Let m = 22 - 19. Suppose 0 = -m*y + 1 + 8. Suppose 2*r + 3*t = 25 + 56, -t - 94 = -y*r. Calculate the smallest common multiple of r and 12.
132
Let v = 145069/178 - 815. Let u = -134/89 - v. Let c = -895 - -2626/3. Calculate the common denominator of u and c.
6
Suppose -932 = 7*b - 2787. Calculate the common denominator of (-35)/7 - b/(-66) and 7/3.
66
Let w(c) = c**3 + 10*c**2 - 41*c - 72. Calculate the least common multiple of 15 and w(-12).
660
Let v = 442447/56 + -7900. What is the common denominator of 17/324 and v?
4536
Let s = -6 + 8. Let b be 2*(3 + (-1 + -2 - -1)). Suppose 0 = -b*c + z + 44, -3*z + 20 = c - 2. What is the smallest common multiple of s and c?
22
Let h be (-63)/(-12) - 5/20. Suppose -j + h*j = -48. Calculate the common denominator of -2/7 and (j/9)/(21/18).
7
Let j = -6992 - -7087. What is the lowest common multiple of 30 and j?
570
Let d = -911 - -4533/5. Suppose 9*p - 280 = -406. Let v(i) = 10*i**2 + 138*i - 21. Find the common denominator of v(p) and d.
5
What is the lowest common multiple of 124/(-558) + (-3489)/(-27) and 5?
645
Find the common denominator of (-709)/70 - 17588/30779 and (9/(-210))/(6/(-104)).
70
Suppose v - 2 = -0. Suppose -5*q = v*x - 153 - 29, 12 = -3*x. Let g(n) = n**3 + 7*n**2 - 22*n - 28. What is the lowest common multiple of q and g(-9)?
152
Suppose -16*n + 37*n - 4179 = 0. Let t = -190 + n. Suppose 14 = 5*b + f, -2*f + 0*f = 2*b - 4. Calculate the lowest common multiple of b and t.
9
Suppose 378 = 99*k - 36*k. Suppose 0 = 5*j - 235 - 155. What is the smallest common multiple of k and j?
78
Suppose -5*y - 5*p = -30, 5*p - 3 = -4*y + 24. Suppose 0 = -3*a, 2*a - 41 + 17 = -y*c. Calculate the least common multiple of 14 and c.
56
Suppose 0 = 5*t + 7 - 97. Suppose -t*c = -14*c - 220. What is the least common multiple of c and 25?
275
Suppose 5*r + 3*n = -47, 3*n + 0 = 2*r + 2. Let v be (2/(-4))/(r/42). Calculate the common denominator of 41 and (-1)/v - (-139)/12.
4
Let s(w) = 52*w**3 - 2*w**2 - w - 1. Let c be s(2). Suppose -814 = 11*q - 15*q + 2*i, -2*q + c = -3*i. Calculate the smallest common multiple of q and 22.
2244
What is the common denominator of (1746/3780)/((-2)/4) and -1/9?
315
Let p be (-2 + (-4 - -12))*57/6. Find the common denominator of (47/(-18))/(-1) - (-57 + p) and 40/27.
54
Calculate the least common multiple of 17 + -17 - -27 - -2101 and 224.
4256
Suppose -2*j = -3*d + 150, -1891*j + 1896*j - 67 = -d. What is the lowest common multiple of d and 840?
10920
Let q = 1633628 + -8240019591/5044. What is the common denominator of -1/36 and q?
45396
Find the common denominator of ((-936)/(-672))/((-180)/(-21)) and 151/312.
3120
Let r = -12382 - -29952072/2419. What is the common denominator of -28/615 and r?
36285
Let s be (-7 - (-19 - -13))*-207. Let q(t) = -t**2 + t + 8. Let o be q(0). Find the common denominator of 33/64 and (s/(-10))/((-24)/o).
320
What is the least common multiple of 444 and ((-15)/(3/1))/(((-19)/6)/19)?
2220
Let v(i) = -44 + 9 + 12*i + 13 + 14 + 5*i**2. Calculate the lowest common multiple of v(-4) and 42.
168
Let z = -73996802 + 5622758891/76. Let u = 13132 + z. Calculate the common denominator of u and 19/5*10/((-1)/((-24)/(-128))).
152
Let k = -2194184543/415 - -5287204. Let y = -5/166 + k. Find the common denominator of 77/6 and y.
30
Suppose -5*l = 3*h - 57 - 23, 3*l = 3. Calculate the lowest common multiple of h and -3*50/2*1176/(-1960).
225
Let d be (-13894745067)/5*-27*1/(-2103). Let g = 35678376 + d. Let t = -1/2804 - g. Calculate the common denominator of 8/55 and t.
220
Let s(h) = h**3 + 4*h**2 + 3464*h - 7 - 3469*h + 2*h**2. Calculate the smallest common multiple of s(-3) and 14.
70
Calculate the common denominator of 24448/(-1528) + (527/30 - -1) and (-1 + 4)*93/(-108).
60
Suppose -600 = 4*s - 2436. What is the common denominator of -101/2 and s/(-110) - (4 + (-44)/10)?
22
Suppose -42*v = 56*v - 1274. What is the smallest common multiple of v and 20?
260
Suppose 74 = 3*a + 2*d, 1034 - 1149 = -4*a - 5*d. What is the smallest common multiple of a and 306?
3060
Let d = -1424 + 1425. Let i(t) = -74*t - 14. Let h(c) = -25*c - 5. Let p(z) = 14*h(z) - 5*i(z). What is the least common multiple of p(d) and 20?
20
Let y(j) = -j**3 + 20*j**2 + 2*j - 46. Let q be y(20). Calculate the common denominator of 41/12 and (-411)/(-162)*q/4*1.
36
Let u = 3 - -2. Suppose -u*m = -3*m - 20. Calculate the smallest common multiple of m and ((9 - 5) + (2 - -4))*2.
20
Let u be (-9)/2*(-36)/54. Let a(c) = 4*c**3 + c**2 + 4*c - 4. Let q be a(u). What is the common denominator of 39/22 and 769/90 + (-75)/q?
198
Let g be (-13165033)/39509274 - 2/(-6). Let w = 13180467411/12706935076 + g. Let p = w - 9/614. Calculate the common denominator of p and -57/10.
220
Suppose 129*d + 120 = 124*d. Calculate the common denominator of 119/72 and d/228 - 5583/2736.
144
Suppose 0 = -156*m + 245*m - 17444. What is the smallest common multiple of m and 287?
8036
Let t(d) = -19*d - 17. Let h be t(-1). Suppose 3*w + 1 = q - 22, -5*q + 102 = -h*w. Suppose -55 - 45 = -f. What is the least common multiple of q and f?
100
Suppose 46413*w = 46557*w - 4752. Let v(d) = -d**2 - d + 51. Calculate the least common multiple of v(0) and w.
561
Let l = -58 + 68. Let u = l + -12. Calculate the common denominator of 125/18 and (u/6)/((-80)/588).
180
Let l = -73 - -121. Let k(a) = -59*a - 528. Calculate the smallest common multiple of k(-9) and l.
48
Let q = -9/25448 + 324723/737992. Calculate the common denominator of (-4)/(-2)*(-204)/(-16) and q.
116
Find the common denominator of 4/(-10) - 22/8 and ((-2842)/(-3045))/(25/(-6) + 4).
20
Let u(v) = -v**2 + 6*v + 4. Let h be u(8). Let z = -1997/2 - -978. What is the common denominator of (-584)/(-90) - h/30 and z?
18
Suppose s - v - 7 = 0, -3*s + 11 = 3*v - 4. Let t(c) = -3 - 113*c**3 + 112*c**3 + s + 23*c**2 - 22*c. Calculate the least common multiple of t(22) and 5.
15
Let a = -47490/42091 - -5/859. Calculate the common denominator of 5/1568 and a.
1568
Let a = 3137009/50 + -62740. Let i = -134/11 - -3394/275. Calculate the common denominator of i and a.
50
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