et r(y) = -5*y + 29. Let c be r(6). What is the common denominator of c/2 - (24/(-22) + -4) and -33/104?
1144
Let p(s) = -84*s - 384. What is the smallest common multiple of p(-14) and 176?
1584
Suppose 0*s + s + 3 = 0, -5*s = -4*h + 535. Suppose f - 116 = -5*y, -8*y - h = -f - 6*y. What is the least common multiple of 42 and f?
126
Let r = 376/3 + -4160/33. Find the common denominator of r and (-1004)/(-144) - 3/12.
198
Let a(i) = i**3 - 8*i**2 + 7*i + 2. Let z be a(7). Calculate the common denominator of ((-4277)/(-154))/(-13) + z + -3 and 3/(-6) + (-11)/4.
44
Let h = -92 - -80. Let n be ((-537)/9)/(1 + h/10). Let m = n - 289. Find the common denominator of 11/4 and m.
12
Let j = 3 - -3. Let x be (-36)/(-24)*(3 + (-1767)/(-9)). Suppose -319*z + 80 = -x*z. Calculate the least common multiple of j and z.
12
Suppose 3*t - 22 + 100 = 0. Calculate the common denominator of (70/(-40))/((-5)/t) and -6/35.
70
Let j = -131529/712600 + 2/38175. Find the common denominator of j and 16/315.
2520
Let t be (-791 + -1)*17/((-748)/33). What is the common denominator of 66/t + 187/(-9) and -63/8?
24
Let p = 14944350311971741/250210044 - 17141711250/287. Let z = 2/72651 - p. Calculate the common denominator of 19/6 and z.
36
Calculate the common denominator of -26/31 and 200/7170*(-24)/(-160)*5.
7409
Suppose -13*q + 10520 = -4014. What is the lowest common multiple of q and 22?
12298
Let p = 2318/441 + -18/49. Let m = 13/27 + -1753/108. What is the common denominator of m and p?
36
Suppose -85 = -26*r + 1033. Find the common denominator of (-4 - 1012/(-16))/(-1 + r) and -20/77.
616
Let n be (-3 + 6)/(-3 - -2). Find the common denominator of (n + (-66)/(-20))*(-96)/99 and 53/70.
770
Let s(r) be the third derivative of -r**5/60 - r**4/3 - 5*r**3/3 - 2*r**2 + 17. What is the lowest common multiple of s(-4) and 6?
6
Let v = -52 + 106. Let g be ((-9)/v)/((-1)/(-11329)). Let p = 1882 + g. What is the common denominator of p and 51/4?
12
Let a = -1266/7 + 2479/14. Let l = -8424655577/516 + 16326858. Let p = l + -1/43. Calculate the common denominator of p and a.
84
Let r be (2736/285)/((-3)/10). Calculate the least common multiple of 52 and (-184)/(-6) + r/(-24).
416
Let c = -143925 - -45717. Let w = c - -5892331/60. What is the common denominator of w and -23/20?
60
Suppose 0 = x + 61 - 23. Let g = -12 - x. What is the lowest common multiple of (-1 + 7)/(g/39) and 6?
18
Let c(k) = -373*k**3 - 3*k - 3. Let a be c(-1). Let q = 641 - a. What is the lowest common multiple of 14 and q?
1876
Let k = 4796 + -28775/6. Calculate the common denominator of k and -27/31.
186
Suppose -5*o = -9*m + 4*m - 365, 0 = 18*o + 3*m - 1230. What is the lowest common multiple of o and 3?
69
What is the common denominator of -167/1080 and (-134653)/(-1364580) - 4/14?
1080
Let l = 1751996 - 10536637/6. Let s = 4119 + l. Calculate the common denominator of -59/95 and s.
570
What is the common denominator of (-104)/(-78) + 1276/(-624) and -69/104?
104
Let m = -30864 - -11851831/384. Calculate the common denominator of m and -23/36.
1152
Find the common denominator of (2 - (-428)/16)/9 and ((-8)/18)/(84/(-21) - 5).
324
Let k = 6/5393 - 544765/64716. Calculate the common denominator of k and 0 - 3/(84/94).
84
Let g(l) = l**3 - 7*l**2 + l - 14. Let j(y) = -3*y**3 + 21*y**2 - 3*y + 41. Let s(i) = 17*g(i) + 6*j(i). Calculate the lowest common multiple of s(7) and 100.
100
Suppose -45*z = -242 - 6508. What is the least common multiple of 50 and z?
150
Let p = 99 - 183. Let x = -54 - p. What is the smallest common multiple of x and 35?
210
Suppose 18*n - 596 = 358. Suppose -16*l - 1221 = -n*l. What is the least common multiple of 84 and l?
924
Let s = -28971/8 - -3628. Let f be (3/2)/((-3)/72). What is the common denominator of ((-39)/2)/(f/21) and s?
8
What is the common denominator of 37/595 and ((-7)/1)/((-1)/(-26)*(-63 - -83))?
1190
Suppose 4*z - 55*z + 1632 = 0. Calculate the least common multiple of 84 and z.
672
Calculate the common denominator of 43125/227976 - (-2)/(-16) and 29/4.
1652
What is the common denominator of (-3)/351*(1546/114 - 20/(-190)) and -7/585?
1755
Let j be ((-5)/10)/((-10)/8 - -1). Suppose -4*r = -2*a - 10264, r + j*r + 20561 = -4*a. Let g = a - -71885/14. What is the common denominator of g and 89/4?
28
Suppose -20*g - 23*g = -32035. Let x = -689 + g. What is the lowest common multiple of 56 and x?
56
Suppose -73*c - 107*c = -35*c - 70470. Calculate the smallest common multiple of c and 3.
486
What is the common denominator of 89/8 and ((-120)/(-18) + -6)/((-184)/(-366))?
184
Suppose -12 = 13*w - 16*w. Suppose 3*i - 2*i - 17 = -w*v, 11 = 3*i + 2*v. Calculate the common denominator of -4/11 and i - ((-855)/(-145) - 4).
319
Let w = -43 + 134. Let a = -82 + w. Calculate the least common multiple of ((-60)/(-25))/(2/10) and a.
36
Let h be ((-3185)/(-1022))/13*1300/(-7). Let m = 3/146 + h. Find the common denominator of -6/5 and m.
10
Let u(q) = -q**3 + 8*q**2 - 7*q - 7. Let r be u(7). Let k(l) = l**2 + 5*l - 10. Suppose -16*y = 39*y - 55. What is the smallest common multiple of y and k(r)?
4
Find the common denominator of 4/189 and (1089/120582)/((-2)/4).
5481
Let w = -12/1259 - -6069/240469. Let p = w + 6971/6112. Calculate the common denominator of (-147)/(-40) + (-4 - -2) and p.
160
Suppose 5*j = -2*f + f - 1, -5 = 5*f - 2*j. Let t = 141/23 + -6539/759. What is the common denominator of f/(-6)*118/9 and t?
297
What is the common denominator of 28/(-2898)*(-555)/(-100) and -137/30?
690
Let p = -233877/34 + 6879. Calculate the common denominator of 1/((-45)/10) - 422/45 and p.
170
Let v = 23767/198 + -1066/9. Suppose 5*d - 1336 = -376. Find the common denominator of v and -2*(3 + (-610)/d).
528
Let i(o) = -2*o**2 + 55*o + 267. Calculate the least common multiple of 441 and i(25).
3528
Calculate the common denominator of 4/(-2184)*-1010 + 12/(-8) and -44/637.
3822
Suppose -m = -4*w + 45, 2*m = -w - 3*m + 27. Let a be (17/6)/17 + (-8007)/(-18). Let b = -442 + a. Calculate the smallest common multiple of b and w.
12
Suppose 60 = 4*k - 2*f, 2*k - 2*f - 32 = -4. Calculate the common denominator of -1 - 1 - (693/k)/11 and ((-234)/(-75))/(16/(-20)).
80
Let n(m) = -m**3 - 6*m**2 + 2*m + 7. Suppose -4*i - 9 = -17. Calculate the lowest common multiple of i and n(0).
14
Find the common denominator of (138/32)/(24/(-36)*(-198)/16) and ((-221)/1131)/((-8)/6).
1276
Let a(c) = 2*c**2 - 17*c + 12. Suppose -61*k = -62*k + 8. What is the least common multiple of 8 and a(k)?
8
Let u = -724 - -730. Suppose r - u = -w, -5*r + 1 = -5*w - 9. What is the lowest common multiple of r and 134?
268
Let t = -120209/28228 - -60/7057. Find the common denominator of 0 - (-1)/(64/186) and t.
32
Let u(l) = -l**3 - 11*l**2 - 5*l + 38. Let p be u(-10). Let g(y) = -10*y - 36. What is the least common multiple of g(p) and 14?
84
Calculate the least common multiple of -1 + (3 - 0) + (104668 - -2)/15 and 14.
48860
Let x(r) = -r**2 - r + 40. Let w be x(7). Let t = 1021/3 + -337. Calculate the common denominator of ((-12)/w)/(5/(-6)) and t.
30
Suppose 5*j - 5*x + 85 = 0, -3*x + 3 = -14*j + 15*j. What is the common denominator of 13 + (-67)/5 - j/(-22) and -41/25?
275
What is the common denominator of -12 - (14 + 7563/(-294)) and 115/14?
98
Let w = 578 + -2899/5. Let j = -40076491/10 + 3999369. Let r = 8272 + j. Calculate the common denominator of r and w.
10
Let k(y) = 873*y**3 + 64*y**2 + 3*y + 3. What is the smallest common multiple of k(2) and 10?
72490
Suppose -5*a = -12*i + 8*i + 16, 3*a = 0. What is the common denominator of 3/4 and i/(-34) - (-4617)/(-12920)?
40
What is the smallest common multiple of ((-165)/(-25))/(6/180) and 66?
198
Let s(u) = u**3 - 24*u**2 + 16. Let t = 26 - 2. Suppose 0 = 5*c - 0*c, f + 4*c = t. What is the smallest common multiple of 6 and s(f)?
48
Let k be 12/(-15) + ((-33552)/(-12980))/3. Let q = -2575/1298 - k. Find the common denominator of q and -65/2.
22
Let j = 468/17 + -2537/136. Suppose 4*g + 2*s + 3296 = 0, 3*g + 814 = 2*g + 2*s. Let k = g - -1615/2. Calculate the common denominator of k and j.
8
What is the common denominator of 39/(-56)*4455/(-14580) and -139/1056?
7392
Suppose -4504*k + 487*k = -241020. Let h = -30 - -42. What is the least common multiple of k and h