 - -1679. Let j = -134713 - -3367769/25. What is the common denominator of j and p?
100
Suppose -41*f + 54*f - 104 = 0. Suppose f*v - 11*v = -45. What is the least common multiple of v and 10?
30
Suppose -15*n + 450 - 330 = -3*n. What is the least common multiple of 977 and n?
9770
Let c(p) = -p**3 - 41*p**2 + 31*p + 88. What is the smallest common multiple of c(-42) and 20?
1100
Let m(z) = -11*z**2 + 3*z**2 + 21*z + 90 + 3*z + 7*z**2. What is the least common multiple of 20 and m(24)?
180
Let b = 48/365 + -25357/12410. Find the common denominator of 57/170 and b.
170
Calculate the smallest common multiple of (-262064)/(-240) - (-5)/75 and 2730.
5460
Suppose -7 = -3*g + 5. Calculate the smallest common multiple of (-10)/(-1)*-12*((-597)/(-60) + -10) and g.
12
Suppose -2*b - 124 = -4*t + 128, 4*t - 12*b = 232. What is the smallest common multiple of 296 and t?
2368
Suppose -2*a + 23 = a + 5*v, -2*v = 2*a - 14. Suppose -a*q + 66 = 6. Suppose -26 = -2*x + 4*y + 58, 16 = 4*y. Calculate the least common multiple of x and q.
50
Let u = 2035 + -2028. What is the least common multiple of u and 4928?
4928
Suppose 0 = -3*j + 36*v - 39*v + 5412, 0 = -4*j + 2*v + 7216. Calculate the least common multiple of j and 20.
9020
Suppose 0*w = 5*l + 5*w - 20, -l + 4*w = 21. Calculate the common denominator of (l + (-284)/72)*12/32 and 5/12.
48
Suppose 3*t - 8*t + 30 = 0. Let r = -885 - -904. Suppose 55 - r = t*q. What is the lowest common multiple of 21 and q?
42
Calculate the common denominator of 5/48 and (6/(576/(-15)))/((-536)/136 - -4).
96
Suppose 0 = -3*p + 5*q + 8418, 8*q - 4*q = -4*p + 11160. Calculate the lowest common multiple of p and 6.
2796
Let k = 26952907/14 + -1923930. Let u = 1280 - k. Find the common denominator of u and -55/14.
14
Let b = -1312655/107225632 + 2/145687. Calculate the common denominator of b and -91/782.
12512
Let x = 9236 - 415637/45. Let q(l) = -6*l**2 + 5*l + 26. Let s be q(-13). Let z = 9515/9 + s. Calculate the common denominator of z and x.
45
Let k = 3/51476 + 2444903/3551844. Let d = 11/1796 - 36917/16164. What is the common denominator of d and k?
414
Suppose 2*k + 4*t - 163 = 481, -332 = -k - 4*t. Suppose 0*y = -39*y + k. What is the least common multiple of (2 - -4)*3/2 and y?
72
Let q(f) = 2 + 3*f**3 + 5*f - 2*f**2 - 2*f - f**2. Let v(s) = -18*s - 196. Let a be v(-11). What is the lowest common multiple of 14 and q(a)?
140
What is the common denominator of 0 - 2/8 - (-369050)/1590600 and -75/8?
5784
Let r = 281 - 276. Suppose 4*x - 65 = -5*m + r*x, -2*x + 52 = 3*m. What is the lowest common multiple of m and 184?
1288
Suppose 4*r - 9804 = -0*n + n, -2458 = -r + 2*n. What is the lowest common multiple of 2205 and r?
22050
What is the common denominator of 2/9*402/8 and -16 - 7512/(-1344) - 6/(-21)?
24
Suppose q + 0*q + 653 = 2*a, 3*q - 3*a = -1947. Let h = q - -3905/6. What is the common denominator of 49/2 and h?
6
Let r = 1439998 - 1439988. Suppose 2*a + a + 168 = 3*n, 2*n + 5*a - 105 = 0. What is the least common multiple of n and r?
110
Let w(p) = 147*p + 7. Let d be w(3). Let a = d - 432. What is the smallest common multiple of a and 4?
16
Let c = 4784389/5795937 + -7/91999. Let s = -523 + 32950/63. Calculate the common denominator of s and c.
63
Let q = 23795414/255 + -93315. Find the common denominator of -24/55 and q.
2805
Let m(s) = -s**2 - 75*s + 27. Calculate the lowest common multiple of 903 and m(-75).
8127
Let c be 7/(-3689)*(-126)/(-7). Let f = c - -9057/33728. Find the common denominator of f and -13/8.
64
Let a = 7 - 1. Suppose -2*r - 48 = -a*r. Let x = -55586 + 55613. Calculate the lowest common multiple of r and x.
108
What is the common denominator of ((-52)/(-650))/(15/(-515)*-44) and 13/1815?
18150
Let t = 630426 + -1775279659/2816. Calculate the common denominator of t and -115/48.
8448
Suppose -4*h = 12 + 16. Let z = h + 9. Suppose -27*p + 22*p + 3*i = -20, 4*p + 6 = -2*i. Calculate the lowest common multiple of z and p.
2
Let p = -390/461 - -1234/42873. Find the common denominator of -59/123 and p.
3813
Let b(f) = -f + 101. Suppose -2*d - 4*j = 26, -5*d + 5*j = 83 + 12. What is the smallest common multiple of b(d) and 1?
118
Let c = -396749/479430 + -5/21308. Calculate the common denominator of c and 49/18.
180
Suppose 5*t = o - 277, t - 4 = -0*t. Calculate the common denominator of (-220)/o + 2 + 6/(-2) and -41/48.
432
Suppose c + 3*g = 72, 0 = c - 3*c + 3*g + 126. Let m be 2*9/117 + (-1018)/26. Let f = m + c. Calculate the lowest common multiple of 15 and f.
135
Let y = 23459/78 - 601/2. Calculate the common denominator of 62/489 and y.
6357
Suppose 0 = -3*r + 26*n - 21*n + 518, r + 2*n = 169. What is the smallest common multiple of 360 and r?
6840
Let j = -5 + 134. Let c = -128 + j. Calculate the least common multiple of 11 and c.
11
Calculate the smallest common multiple of (14 + -131)/13 + 15 and 685.
4110
Let h be (-244)/(-1848)*-5*(-3720891)/750. Let i = 2353/2100 + h. Let r = 3274 - i. Find the common denominator of 36/7 and r.
77
What is the common denominator of 1/18 and -24*(-4)/(-6)*-7*3/(-819)?
234
Let w(p) = 2*p**3 + 66*p**2 - p - 18. Let o be w(-33). Suppose 16*d - o*d - 4 = 0. Calculate the lowest common multiple of d and 24.
24
What is the common denominator of -11/120 and (-10)/(-35)*-1 - 7095/10080?
480
Let s = 63 - 60. Let d be 0 - -2 - 189/27. Calculate the least common multiple of 18/((-4)/10*d) and s.
9
Suppose 3252 = 2*q + 4*k, 3*q - 3*k - 1626 = 2*q. Find the common denominator of q/(-630) + 3/15 and 37/33.
231
What is the common denominator of 438/(-1)*(-1)/16*(-4)/(-1608) and -109/20?
5360
Let j = -184830127/1230 - -300537/2. Find the common denominator of 27/7 and j.
4305
Let j = -10508 + 37922. Let h = 2412407/88 - j. What is the common denominator of ((-25)/(-4))/(27/6) and h?
792
Let t = -19009 + 342061/18. Find the common denominator of 87/112 + 2/7 and t.
144
Suppose 0 = 6*d - 2*d - 16. Find the common denominator of -51/10 and 2/(-24)*78/d.
40
Let n = -12551/9 - -1389. Calculate the common denominator of n and (202/1712)/((3/(-14))/(498/(-581))).
1926
Find the common denominator of 51/5 and 52 + -36 - 32124/2012.
2515
Let t = 95547/7 - 338714143/24815. What is the common denominator of -83/20 and t?
14180
Suppose 6795 = 6*a + 77*a + 321. Suppose 5*s + c - 43 = 0, 2 = s - c - 3. What is the lowest common multiple of a and s?
312
What is the common denominator of -45/121 and 18/(-15) + ((-28146)/3630 - -9)?
605
Let x(q) = -q**3 - 2*q**2 + 17*q - 8. Let h be x(3). What is the smallest common multiple of 18 + (-20)/(-3 + h) and 62?
682
Let k be 28836/(-10) - 45/36*4. Let w = 2900 + k. What is the common denominator of w and 21/367?
1835
Let b = 548 + -9833/18. Let z = -2983 + 41801/14. Calculate the common denominator of z and b.
126
Calculate the smallest common multiple of 4/2 - ((-616)/18 - 2/(-9)) and 630.
1260
Suppose -3*i + i + 21 = -t, 3*t = 2*i - 15. Calculate the common denominator of -17/46 and (-9)/i - ((-1208)/224 - 2).
322
Let f(l) = 2*l**3 - 2*l + 4. Let d be f(-3). Let x = 5 + d. Let h = x + 51. What is the lowest common multiple of 27 and h?
108
Let l be 3/4 + (-90)/(-72). Let p(x) = -x + 3. Let t be p(l). Calculate the common denominator of 35/3 and ((-118)/(-18))/(t - 0).
9
Let t(s) = -s + 7. Let f be (-76)/18 + 18/81. What is the lowest common multiple of 18/2 - (13 - 11) and t(f)?
77
Find the common denominator of 20/181 and (-14*20/2660)/(4/27).
6878
Let h(b) = -7*b + 2. Let x be h(1). Let g = x + 8. Suppose g*c = f - 2*c - 6, 0 = -5*f - 5*c + 30. What is the lowest common multiple of 22 and f?
66
Calculate the common denominator of (-2 + (-2824)/(-1424))*5*(-6)/(-648) and -163/84.
44856
Let u = 19388 - 25844206/1333. Let y = u + -14543/79980. Find the common denominator of y and -119/66.
660
Calculate the least common multiple of 12 and 4/(-26) - 5774/(-8)*(-376)/(-611).
444
Let x be (-46)/(-207) - (-28)/18*797. Let p = x - 2427/2. Find the common denominator of p and -29/80.
80
Calculate the common denominator of ((-268)/162)/((-2)/(-1)) and (76 - 5365/74) + (1678/(-396) - 0).
891
Suppose -s - 4*l - 40 = 0, 2*s - 2*l = 3*l - 28. Calculate the common denominator of 254*14/s*(-8)/(-56) and -50/21.
42
Let o = 65 - 73. Suppose 343 = 5*g + 13