 n?
12
Find the common denominator of -27/682 and (4/(-8)*0)/3 + (-420)/(-88).
682
Let q be (4 + -1)/((-14)/371). Let y = -5675/72 - q. What is the common denominator of 91/60 and y?
360
Suppose 3*d - 2*d - 5*v = -18, 0 = -3*d + 3*v - 54. Let h = -25/4 - d. Find the common denominator of 45/236 and h.
236
Suppose -47*h + 12074 = 5*h + 11554. Suppose 0 = -2*q + k - 1, 2*k - 3 = 2*q + 1. Calculate the least common multiple of h and q - (-5 + 1)/2.
30
Let a = -10081913/2030 + 24833/5. Find the common denominator of a and -49/290.
2030
Suppose 0 = f + 9 + 2. Find the common denominator of 31/8 and 457/(-176) - (f + (-16)/(-2)).
176
Let v = -19 - -23. Suppose -309 - 579 = a. Calculate the least common multiple of ((-4)/14 + a/28)/(-2) and v.
16
Suppose -s + 12 = 7. Suppose -s*u - 26 = -4*u. Find the common denominator of (-6292)/u*(-2)/(-24) and -51/134.
402
Let s = -161669/249392 - -41/1417. What is the common denominator of s and 101/176?
176
Suppose t + 2 + 28 = 4*u, 0 = t + 2. What is the smallest common multiple of (-18)/5*(-45)/18 and u?
63
Suppose 0*z - 30 = -10*z. Suppose 2*s = 2*p + 8, 24 = 7*s - z*s - 2*p. Calculate the least common multiple of s and 16.
16
Let s be 2/(-4) + 1641/6. Let l = -785/3 + s. Let j = 103 - 304/3. Find the common denominator of l and j.
3
Suppose s + 1441 = 4*f - 1384, -2*f + 1405 = s. What is the least common multiple of f and 329?
4935
Let q = -4694809/150 + 31299. Calculate the common denominator of q and -15/22.
1650
Suppose 52*k - 50 = 57*k. Let q be 22/5 - k/(-25). Calculate the lowest common multiple of 9 and 2/8*q - -15.
144
Suppose 4*n - 44 = 2*y, -n + 5*y - 3204 = -3206. Calculate the lowest common multiple of n and 60/9 - 1/(-3).
84
Let k = -84781 - -167357699/1974. What is the common denominator of k and -23/56?
7896
Suppose 224*z - 251*z + 13392 = 0. Calculate the smallest common multiple of z and 620.
2480
Let w be ((-20)/(-6))/((-2)/6). Let x(s) = s**3 + 10*s**2 - 3*s - 12. Suppose -119 - 105 = -14*t. Calculate the lowest common multiple of t and x(w).
144
Let v = 1/4435 - 55891/44350. Calculate the common denominator of v and ((-14)/147)/((-180)/(-581)).
1350
Let g be (-516)/56*8/15. Let i = g - 8/35. Let o = -6/835 + 41828/10855. Find the common denominator of o and i.
91
Suppose 4*n - w + 124 = 427, 0 = -2*w + 2. Suppose -n*q + 24 = -80*q. Calculate the lowest common multiple of (-2 + -4)*20/q and 18.
180
Let y = -29999/42 - -715. What is the common denominator of y and -17/49?
294
Suppose -2 = d - 2*d. Suppose 3*j - 7*h - 45 = -6*h, -4*j + 73 = 3*h. Find the common denominator of (d - 1/j*45)/(-1) and 101/42.
336
Let p = -1323398 - -10572105/8. Let j = 1889 + p. Suppose 4*y + 48 = -80. Find the common denominator of j and y.
8
Suppose 2*c + 152 = 186. Suppose -4*j + 2 = 10, 0 = s + 4*j - c. What is the lowest common multiple of 40 and s?
200
Find the common denominator of 1/4 and (-5)/((-20)/(-48)) - 3616751/(-301279).
19756
Let z(w) = -w**2 - 4*w + 17. Let m be z(-6). Suppose -m*t = 4*g - 191, 0 = -t - 3*g - 3 + 39. What is the least common multiple of 24 and t?
312
Suppose 4*n - 2*c - 10 = 0, 3*c = 3*n - 0*n. Suppose -25 - 185 = n*a. Calculate the common denominator of -46/21 and (-181)/189 + 3 - 6/a.
189
Suppose -3*y + 3*x - 13 = 146, 100 = -2*y + 5*x. Find the common denominator of 37/30 and (-2)/35*154/y.
150
Let x be ((-9036)/(-15))/(22/(-115)). Let f = 3146 + x. Find the common denominator of (44 + -60)*4/(-18) and f.
99
What is the common denominator of 71/6 and 96/(-256)*66/89?
1068
Let p = -344/105 - -164/21. What is the common denominator of p and (42/(-10))/3*7?
15
Let v = 251 - 299. What is the common denominator of 74/3 and (-2)/(-35)*(-150)/v*-34?
42
Suppose -12*h + 2759 + 601 = 0. What is the least common multiple of h and 560?
560
Let p = -638 + 670. Suppose -815 - 1609 = 2*o. Find the common denominator of (12/18)/(p/o) and -6.
4
Let c(j) = 2*j - 20. Let q be c(4). Let n be (q/16)/((-1)/(1*8)). Find the common denominator of -3/44 and n/(-8)*2*(-84)/(-66).
44
Suppose -f - 3*f + 28 = -4*h, 5*h = -4*f - 17. Suppose 2*j - 144 = -f*u, -11*u - 88 = -12*u + 3*j. What is the smallest common multiple of 24 and u?
456
Let u be (-6 + (2 - -4))/1. Suppose u = n - 3*j + 12, j - 7 = -3*n + 7. What is the least common multiple of n and 8?
24
What is the common denominator of -25/3916 and 1*(-5 + 2)*1?
3916
Suppose 4*x = -5*h + 51, 4*x - 2*x - 22 = -2*h. Let c be 27/45 + -2 + 66/15. Suppose 0 = -c*f + 6*f - 33. Calculate the lowest common multiple of f and h.
77
Let x(n) = 167*n - 1116. What is the smallest common multiple of x(12) and 222?
888
Let x = 4131 - -699. What is the smallest common multiple of 20 and x?
9660
What is the common denominator of -58/237 and ((-290)/(-158) - 2)*7*7/490?
2370
Let b = 1786565/10608 + -25760/153. Find the common denominator of b and 163/5148.
20592
Suppose -362*u + 160603 - 99276 + 119673 = 0. Calculate the least common multiple of u and 750.
1500
Let x = -735579 - -953310499/1296. Find the common denominator of x and 11/1152.
10368
Let d = -16134 - -258045/16. Let a(h) = -16*h + 7. Let m be a(19). Let i = m - -1819/6. What is the common denominator of i and d?
48
Let o = -10134 - -101281/10. Find the common denominator of -35/2564 and o.
12820
Let d = -230 + 251. Calculate the common denominator of -131/12 and 181/27 - (d - 15).
108
Let r be (2/72)/(2/(-164)). Let k = r - -76/9. Calculate the common denominator of k and -44/7.
42
Suppose 5*a - 3*n + 1396 = 0, 3*a + 353 = 2*n - 485. Let w = -272 - a. Calculate the least common multiple of w and 6.
6
Let r(n) = 4*n**2 - 21*n + 2. Let w be r(4). What is the lowest common multiple of (-1616)/w - (-4)/18 and 18?
90
Suppose 18721 = 81*p + 1954. Calculate the smallest common multiple of p and 161.
1449
Let d = 21407/12 + -1788. Let n = -22991/18 - -1282. Find the common denominator of d and n.
36
Let i = -134 - -134. Find the common denominator of (-306)/(-119) + i + -1 and 2/29.
203
Let b = 1231787/82 + -15022. What is the common denominator of b and 31/451?
902
Let w = 7301 - 7329. Let b be (-1 - 0 - 1)*25. Let t = w - b. What is the least common multiple of t and 22?
22
Let k(u) = 15*u + 15. Let j be k(-1). Suppose 3*d + 5*s - 7 = j, -4*d - 4*s = -2*d - 4. What is the least common multiple of 10 and d?
20
Let n = -1022068/45 + 22714. Find the common denominator of 23/168 and n.
2520
Suppose -6*d - 5*r = -1104, 1066 = 4*d + 3*r + 328. Calculate the least common multiple of d and 2.
378
Let r(o) = -1619*o**2 + 2*o - 23. Let u be r(-10). Let l = -13603379/84 - u. What is the common denominator of 87/4 and l?
84
Let m be -1*(5970/(-415))/(-3) - -5. Let y = -84841563 + 84502188569/996. Let w = m - y. What is the common denominator of w and -21/20?
60
Let r(s) = -s**3 + 20*s**2 - 17*s + 2. Let u be r(19). Suppose -3*k - 3 + 7 = b, 2*b = 2*k + u. What is the common denominator of -91/6 and ((-214)/27)/(b/12)?
18
Let f(l) = l**2 + 36*l - 920. Calculate the least common multiple of 35 and f(-56).
1400
Let w = -304292089/1476 - -206160. Calculate the common denominator of 155/1476 and w.
1476
Let m = 2427 + -247559/102. Calculate the common denominator of m and -55/1802.
5406
Let k = 1169 - 1158. Let g(y) = 3*y - 7. Let j be g(5). Let x(u) = u**3 - 7*u**2 - 8*u + 2. Calculate the least common multiple of x(j) and k.
22
Suppose -2*q + 15 = -75. What is the smallest common multiple of 7*(1 - (2/(-7))/(-1)) and q?
45
Let b = 80915 + -13351028/165. Calculate the common denominator of b and -143/18.
990
Let u(i) = -2*i - 13. Let f be u(4). Let r be (-1 - 11/(-2))/(f/546). What is the smallest common multiple of 2/(-8) - r/52 and 3?
6
Let v = -73 + 83. Calculate the lowest common multiple of v and -1*1 - (-18)/(-27)*(-1515)/10.
100
Let m(w) = 3*w**3 - 4*w**2 + 32*w + 5. Let y be m(5). Calculate the common denominator of -27/121 and (-124)/y + -1*(-3)/(-6).
605
Suppose 7*n - 2*n = 15. Suppose -10*w - n*w + 260 = 0. Calculate the least common multiple of w and 32.
160
Let y be (3/(-18)*1766)/(6 - 20). Let w be (1 - 0) + 471/(-18). Let p = y + w. Calculate the common denominator of 71/9 and p.
63
Suppose 0 = -b - q - 19, -2*b = 3*b - 2*q + 95. Let w = 101 - b. Calculate the smallest common multiple of w and 35.
840
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