516
Find the common denominator of ((-99)/(-2184))/((-512)/84 - -6) and 2/8*(-156)/(-108).
1872
Let p = 472913/200880 - 1/25110. Find the common denominator of p and 103/24.
48
Let r be 63*(-5)/(-15)*8/3. Suppose -2*w = -3*u + 26 + 30, -116 = 4*w - 5*u. Let n = r + w. What is the lowest common multiple of n and 18?
198
Let s = -9 + 19. Suppose -22*r + 3065 + 2171 = 0. What is the smallest common multiple of s and r?
1190
What is the smallest common multiple of (-74)/(((-66)/(-6063))/(-1)) - 22/(-242) and 121?
74778
Calculate the common denominator of 29/501 and (-1*6/243)/(2717/(-912) - -3).
4509
Suppose 4*x = -22 + 242. Suppose -146*d - 146*d + 585 = -279*d. What is the smallest common multiple of d and x?
495
Let d(f) = 0*f + 4*f - 10*f + 5*f. Let x be d(12). Calculate the least common multiple of x/(-3)*(-5)/(-2) and 17.
170
What is the common denominator of 145/(-100) - 14/(-2) and -9/56?
280
Let i be (-14716)/7371 + (-2)/(-1). Let m = i - 116/81. Let b = -200/9 + 295/12. Find the common denominator of b and m.
252
What is the least common multiple of 10/(90/40629) + 58/87 and 175?
22575
Let i(l) = -l**3 + 9*l**2 - 21*l + 20. Let g be 1/5 - (-145)/25. What is the smallest common multiple of 20 and i(g)?
20
What is the common denominator of 14/3 and 1/(-180)*-15 - 471/4676?
3507
Let r be 1*(-8462)/(-3)*6/1144. Let z = 187/13 - r. Calculate the common denominator of z and 3/52.
572
Let a(f) = -97*f - 2956. What is the least common multiple of a(-40) and 726?
10164
Calculate the common denominator of -151/72 and -3 + ((-75)/9 - -9)*287/48.
72
Let t be (-3706)/(-51) + 2/(-3). Calculate the common denominator of 93/(-468) - -3*6/t and 13/6.
78
Let m = -4287 - -4290. Calculate the lowest common multiple of 630 and m.
630
Let q = -130599 + 27164483/208. Calculate the common denominator of q and -19/4.
208
Let g(j) = 164*j + 4164. What is the smallest common multiple of 110 and g(-16)?
1540
Suppose 0 = 4*k + z - 168, -4*k + 2*z = -5*k + 42. Let f = k - 59. Let n(g) = 2*g + 37. What is the lowest common multiple of 10 and n(f)?
30
Let t = 1785 + -2724. What is the common denominator of t/342 - (1 + -3) and 79/14?
798
Suppose h = 3*h - 12. Suppose -775 - 1513 = -11*m. Suppose -10*f + m = 6*f. Calculate the smallest common multiple of h and f.
78
Let p = 33242/14967 - -2/1663. Find the common denominator of 65/12 and p.
36
Calculate the lowest common multiple of 228 and ((-4400)/(-132) - 32)/(1 - 10/18).
228
Let b = 110983/16 - 20822/3. Let t = b + 61/24. What is the common denominator of 113/14 and t?
112
Let r = -29 - -32. Suppose r*d - 105 = 447. Calculate the lowest common multiple of 2 and (24/20)/(d/60 + -3).
18
Suppose -2*f = 3*l + 1004, -5*f = -2*l - 741 + 40. Find the common denominator of l/(-208)*(-1)/((-3)/4) and -101/134.
402
Suppose 5*j + 6*s - 5*s - 22966 = 0, 5*j + 5*s = 22970. Calculate the smallest common multiple of j and 11.
50523
Let q = 59626751/450 + -132504. Find the common denominator of q and -47/45.
450
What is the common denominator of 53/8 and 145/(-2840) - (4 + -4)/(-7 - -11)?
568
Let k(m) = -8*m. Let r be k(7). Let n = 313 + -381. Let s = r - n. Calculate the lowest common multiple of s and 20.
60
Suppose -90 = -4*j - j. Suppose g - 2*p = 8, -5*p - 24 - 1 = -3*g. Let h = g - -72. What is the least common multiple of j and h?
738
Let t = -1/6373 + -299266/1688845. What is the common denominator of t and -71/10?
530
Let f(x) = -4*x + 172. What is the lowest common multiple of f(-9) and 10?
1040
Let k = -2322 - -2898. What is the lowest common multiple of 216 and k?
1728
Suppose 206*t = 247*t - 39155. Calculate the smallest common multiple of 9 and t.
8595
Let i = -21670 + 650021/30. Calculate the common denominator of i and 4/(-22) - (47968/1440)/(22/(-5)).
90
Let b(v) = -v**2 + 6*v + 9. Let w be b(7). Suppose -2*k + 5*k - 3*t = 66, 4*t = -w*k + 44. Calculate the least common multiple of k and 10.
110
Suppose 13*r = 70*r - 1513 - 1166. Calculate the least common multiple of 234 and r.
10998
Let y = -8567756/403 - -21260. What is the common denominator of -50/117 and y?
3627
Suppose 0 = 3*h - 3*b - 96, 2*h - 3*b = -6*b + 54. Let l(s) = 43*s**2 + s + 3. What is the least common multiple of h and l(-1)?
90
Let v(o) = o**3 + 22*o**2 - 22*o + 323. Calculate the lowest common multiple of v(-23) and 150.
300
Let x = 119 + -58. Let m be 480/9 - 4/(-6) - 2. Let o = x - m. Calculate the smallest common multiple of 32 and o.
288
Let h = -2/9007 + -477335/162126. Find the common denominator of h and 16/6 - (-14)/21.
18
Suppose 494 = -5*u + 3*h, 0 = -4*u + u + h - 298. Calculate the smallest common multiple of 90 and ((-21)/(-35))/(-2 - 202/u).
90
Suppose -7*n = -4*t - 11*n + 44, -4*n - 4 = -4*t. Suppose t*h - h - 38 = -2*p, -3*h + 19 = 5*p. What is the least common multiple of 18 and h?
72
Let o(h) = 279*h**2 - 107*h + 108. What is the least common multiple of o(1) and 1085?
8680
Let b = -44206/9 - -4923. Let n = b + -18. Calculate the common denominator of 51/220 and n.
1980
Let t(b) = -305*b + 26. Let w be t(7). Find the common denominator of -119/50 and 4/(-6)*w/266.
350
Let y = -36657011913/220 - -166622456. Let j = 3523/11 + y. Calculate the common denominator of j and -89/12.
60
What is the smallest common multiple of 3/2*(-640)/(-84)*(-2366)/(-169) and 1400?
5600
Calculate the least common multiple of ((-20)/(-15)*(-6)/(-24))/(2/330) and 49 + -7 - (1 + -3).
220
Let l = 145 + 79. What is the common denominator of 9/(-21) - (-2588)/l and ((-36)/(-63))/(6/7) + 20?
24
Suppose -2528 - 2932 = -5*m. Calculate the common denominator of m/(-216) - (-7)/2 and 80/21.
63
Suppose 12*d - 8*d - 4*b - 188 = 0, -99 = -2*d - 3*b. What is the lowest common multiple of 3 and d?
48
Find the common denominator of -59/4161 and ((-520)/(-1260))/(-5 - 231/(-45)).
29127
Find the common denominator of 2/2 - (-97)/42 and (52 + 3129/(-60))/((-27)/714).
210
Calculate the common denominator of 1/((-1760)/(-9316)) - 70/14 and -31/616.
3080
Calculate the common denominator of -41/8616 and ((-6045)/(-434))/(72/(-21)).
17232
Let h = 1045/9 + -116. Let w be (-1303001)/378 - (7 + -9). Let n = w - -3443. What is the common denominator of n and h?
54
Calculate the smallest common multiple of 14 and -8 + 249 + (3/5)/(3/25).
1722
Calculate the common denominator of -6 - ((-17)/(-646))/(8/(-1779)) and -73/1292.
5168
Let q = 371/6 - 68147/1104. Find the common denominator of 119/230 and q.
1840
Suppose 0*i = 5*i - 10, -5*i - 10 = -o. Let f(l) = 24*l + 1. Calculate the common denominator of f(-1) and ((-5)/o)/(2*(-28)/1440).
7
Let q be (-3 + 1 + 5)/(2 + -1). Suppose 5*i + 5*n = -11 + 1, -i = q*n + 2. Calculate the least common multiple of 9 and (-3)/(90/(-155)) + i/12.
45
Find the common denominator of 31/1325 and (-186)/31*6/(-100).
1325
Let v(o) = 3*o - 47. Let g be v(17). Suppose s + 23 = 3*a, -169 = 5*s + g*a - a. Calculate the common denominator of -103/18 and 2/s*(8 + 57).
144
Let i(g) = -2*g - 4. Suppose 2*a - 6 = 3*a. Suppose -2*y - 4*h + 40 = h, 3*h - 72 = -6*y. Calculate the lowest common multiple of i(a) and y.
40
Calculate the least common multiple of 704 and -8 + 9198/(10 + -4) + 11.
16896
Let v be -2 + (10 - 3) + (-3309737)/42. Let x = -78802 - v. What is the common denominator of -11 and x?
42
Let o = 3557/66 + -525/11. Calculate the common denominator of -45/856 and o.
2568
Let i be ((-63)/(-21))/((2/16)/(-1)). Let k be i/(-3)*4/16. Suppose -4*q + 24 = k*q. What is the lowest common multiple of 18 and q?
36
Let o(f) = f + 3. Let r be 2/(-5) + (-4)/(-10). Let j = 1385 - 1381. What is the lowest common multiple of j and o(r)?
12
Let w(d) = 24*d + 19. Let f be w(3). Calculate the least common multiple of (-3)/((-3 - -4) + f/(-70)) and 23.
230
Let s = -14099 + 14349. What is the smallest common multiple of 300 and s?
1500
What is the least common multiple of (-2 - 57/(-27)) + 25271/333 and 8?
152
Suppose -4*i + 12*u = 15*u + 4, -3*i - 3 = -4*u. Calculate the least common multiple of 1/2*i*1280/(-16) and 56.
280
Suppose 0*x = 2*x - 28. Let k(h) = -5*h + 60. Let y be k(11). Suppose j - y*d = -4, -d = -4*j + 4*d + 14. What is the smallest common multiple of j and x?
42
Calculate the common denominator of (-40139)/357192 + (3/(-4))/(-9 - -3) and 115/54.
118