the smallest common multiple of 314 and d?
1884
Suppose 5*b - 25*c = -22*c - 753, -5*c = b + 173. Calculate the common denominator of -49/44 and 6*(-3)/b + (-3466)/272.
88
Suppose -17901 = 21*r + 7*r - 145*r. Calculate the smallest common multiple of 27 and r.
459
Suppose -2*w - 1748 + 122 = -5*n, -660 = -2*n - 4*w. Let c = 8 - 6. Calculate the smallest common multiple of c and n.
326
Suppose -5*d = -1786 - 894. What is the smallest common multiple of d and 8?
536
Let j = -717 + 241. Let s = -442 - j. Calculate the least common multiple of s and 18.
306
Let m = -10 + 13. Suppose u = 9 + m. Suppose 0 = -4*q - 4, -5*o - 3*q + 53 = -4. What is the least common multiple of u and o?
12
Suppose -x - s = -125, 7*x = 3*x + 4*s + 524. Suppose -2*g + 84 = 5*u, 5*g - x - 136 = u. What is the lowest common multiple of g and 12?
156
Let t = 19453181/12532 + -96/3133. Let c be 1576*-1 - 0 - 1. Let a = c + t. Calculate the common denominator of a and -87/16.
16
Let d = -6062 - -6374. Calculate the least common multiple of 132 and d.
3432
Let s = 412941/20 + -20652. Suppose -4*r - 5*u + 2*u - 1 = 0, 5*r + 3*u - 1 = 0. Find the common denominator of s and r/(-9)*(-2004)/(-320).
120
Suppose 4*x = 108 + 468. Calculate the common denominator of -73/2 and -1*5 - (-5 - 747/x).
16
Let d(n) = 601*n**2 + 130*n + 264. What is the lowest common multiple of 336 and d(-2)?
14448
Calculate the common denominator of ((-122)/(-4))/((-4 - 16) + -60) and -31/110.
1760
Find the common denominator of 51/64 and 1 + 0 - ((-532)/(-200))/((-594)/(-165)).
2880
Let m = -138 + 200. Suppose 48 = 11*f - m. Suppose 3*d + d - 44 = 0. What is the lowest common multiple of f and d?
110
Find the common denominator of ((-162)/24 - -6)/((-7)/(-378)) and -137/1782.
1782
Calculate the common denominator of -137/144 and (8/(-124))/(7940/590 - 14).
4464
Let u = 220029/40 + -5499. Calculate the common denominator of ((-90)/(-1080))/((-10)/(-9)) and u.
40
Let p be 2618/(-8) - (-1)/2. Let g(i) = -23*i + 333. Let y be g(28). Let z = y - p. Find the common denominator of z and 81/22.
44
Suppose -422 = -3*t - 4*k, -2*t - 2*t + 511 = -5*k. What is the smallest common multiple of t and 20?
1340
Let i(l) = -2*l**2 - 4*l - 27. Let j be i(9). What is the least common multiple of (j/100)/(2/(-96)) and 42?
756
Suppose 6*u - y - 2046 = 0, 4*y + 88 + 914 = 3*u. What is the smallest common multiple of u and 44?
7524
Let v = 22462 + -22461. What is the smallest common multiple of 11460 and v?
11460
Let h = 1459366757/308184 + 13/77046. Let t = 4723 - h. Calculate the common denominator of 25/38 and t.
152
Suppose 2*a + 7*k - 3*k = 10, -a + 3 = k. Let o = -6403 - -6511. What is the smallest common multiple of a and o?
108
Let l(j) = -30*j**2 - 24*j - 21. Let n be l(-6). Let u = 12448/13 + n. Calculate the common denominator of u and -25/11.
143
Let s(b) be the first derivative of 2*b**3/3 - 18*b**2 + 79*b + 233. Calculate the least common multiple of 45 and s(17).
45
Suppose 4*p = 6*p + 3*z - 35, 28 = p + 5*z. Let d be -1*1 - (8 - 110/22). What is the common denominator of d/(-1 + p) - (-193)/(-60) and 81/34?
340
Let g(z) = -50*z + 309. Let i be g(6). Find the common denominator of (-2)/i - 12642/1512 and -71/418.
2508
Suppose -7*v = -91 + 35. Suppose -v*q + 67 = -77. Find the common denominator of -17/4 and 6/q - (-217)/24.
8
Let j = -186/25 - -649/225. Let a = 1100951/2310 + -2383/5. Let y = a + 2375/462. Calculate the common denominator of y and j.
63
Let k(n) = -5*n**2 + 39*n + 63. Suppose 0*z - 60 = 2*z. Let s = -18 - z. What is the least common multiple of s and k(9)?
36
Suppose p + 4*d + 6 = 3*p, 3*p + 5*d = -2. Let l = 1171 + -980. Let x = l - 186. Calculate the smallest common multiple of p and x.
5
Let h = -418/185 + 10219/14430. Find the common denominator of 83/312 and h.
312
Suppose 4 = 2*o, -3*b - 5*o + 50 = -8*b. Find the common denominator of -1 + 2 + 38/2 and (b/10)/((-205)/(-150) + -1).
11
What is the common denominator of (-14)/300*((-160038)/(-4760) - 36) and -1/48?
6000
Let o = 37415952 + -22150255901/592. Let i = o + 337/16. Let y = 1009/111 - i. Calculate the common denominator of y and -5/6.
6
Find the common denominator of 101/72 and (-5166)/(-28)*(-14)/(-840).
360
Suppose a = -2*c + 7206, -5*a + 21764 = 2*c - 14298. Let q = a - 129959/18. Calculate the common denominator of q and 5/18.
18
Let a = -140 - -35. Find the common denominator of a/(-27) - (-5)/3 and 61/21.
63
Let d = -325 + 8161/25. Find the common denominator of d and 89/350.
350
Suppose 0 = -5*h + 4*b + 873 + 251, 0 = -h - 2*b + 236. Calculate the least common multiple of h and 532.
1596
Let g be 0 + -1 - -5 - 18. Let f be g/(-815)*(-4602)/(-8). Let w = -3/163 - f. Find the common denominator of w and -53/12.
60
Let g(p) = -3*p**2 - 15*p + 25. Let l = 900 + -906. What is the smallest common multiple of g(l) and 21?
21
Let a be -2 - 3/(2/(-2)). Let j(n) = a - n**2 + 2 - 10*n + 0. What is the smallest common multiple of j(-10) and 11?
33
Suppose -60 = -4*q - 4*r, -187*r + 186*r + 103 = 5*q. Calculate the smallest common multiple of 1766 and q.
19426
Let k be 2*(14/7)/2. Suppose 3*v - 5*c - 2420 = -k*v, -3*c + 476 = v. Calculate the least common multiple of 12 and v.
2892
Let s = 17 + -12. Suppose 0 = -2*p + 1 - s, 2*w + 5*p + 40 = 0. Calculate the common denominator of 79/20 and w/(-15) - 43/18.
180
Suppose 5*w = 2*h - 159, -4*h + 237 + 48 = w. Suppose 0 = -u - u + 6. Suppose 0 = 12*g - u*g - h. What is the smallest common multiple of 22 and g?
88
Suppose 0 = -s - 3*s + 84. Let i be ((-21)/21)/(1*(1 + -2)). What is the smallest common multiple of s and (i + -2)*-2 - (5 + -9)?
42
Let q = 2229803/2468442 + 4/21653. What is the common denominator of q and (-7)/6 - (-6 - -4)?
114
Let x = -155/111 - -743/1221. What is the common denominator of 71/465 and x?
5115
Find the common denominator of ((-366)/(-227988))/((-8)/(-12)) and -59/10.
126660
Let f be (14/(-6) - -5)/((-2)/(-3)). Suppose 112 = 3*o - 4*y + 2*y, 0 = -4*o - f*y + 156. What is the smallest common multiple of o and 16?
304
Let s = -3/191 + 20491/3438. Suppose -13*p = -8*p - 1440. Calculate the common denominator of 2/(-20) - (2 + p/45) and s.
18
Let m = -310 - -175. Let v = 194 + m. Suppose -5*g + 159 - v = 0. Calculate the lowest common multiple of g and 18.
180
Suppose 4*c - 13*c + 45 = 0. Suppose o - 2*o = -a + 8, c*a = -3*o. What is the smallest common multiple of a and 4?
12
Let v = -1722201/4700 - -3825/188. Let f = -97 + -250. Let n = f - v. Calculate the common denominator of n and -59/8.
200
Let w = 2154477/26158 - 3382/41. Calculate the common denominator of 89/58 and w.
638
Calculate the common denominator of -115/18 and 24765/(-2160) + 6*2.
144
Suppose -4*f - 22 = 5*p + 38, 3*p - 112 = 5*f. Calculate the common denominator of 23/16 and (-722)/(-420) - (68/f - -3).
336
Calculate the common denominator of 68*(-9087)/537680 - (-6)/5 and -17/1504.
16544
Let k = -101 - -101. Suppose t + 2*j = -k*j + 52, 24 = t - 5*j. Calculate the lowest common multiple of (-6 - 0)*(-22)/6 and t.
44
Calculate the common denominator of ((-80)/(-672))/((-30)/1015) and 31/1299.
15588
Let r(s) = -38*s + 572. Let u be r(-20). Let w be (4/(-6))/(-1)*-96. Calculate the common denominator of -53/4 and (u/w - -3)*4/(-6).
8
Let c(k) = -50*k**2 + 551*k - 1. Calculate the smallest common multiple of 2486 and c(11).
12430
Suppose -3*v + 5*z + 290 = 0, 148*z + 102 = v + 149*z. Calculate the smallest common multiple of 25 and v.
100
What is the common denominator of (30 + -1)/(336 + -429) and -41/279?
279
Let b = -2/1659 + 54755/6636. Let o = 314 - 354. Calculate the common denominator of b and 68/o - (147/(-35) - -5).
4
Let m = -25/68 - -283/816. What is the common denominator of -151/1968 and m?
1968
Let p(m) be the third derivative of -m**5/30 + m**4/4 + 9*m**3/2 + 7*m**2. Let t be p(7). Let d = t - -51. What is the smallest common multiple of 14 and d?
154
Suppose 9*l - 207 = 12*l. Let v = 149 + l. Find the common denominator of (-1094)/v + 4 - 8/(-10) and -3/32.
32
Let b = -16381802939298/211 - -579701274418725006/7466657. Let z = b - -212437. Let v = -3007841/1910898 + z. What is the common denominator of v and 89/18?
54
What is the least common multiple of 27*(-10)/150*-120 and 288?
864
