5*t = -3*r + 9. What is the smallest common multiple of 3075 and r?
3075
Suppose 19*x = 15*x - 196. Let b be -1 - 0 - (x + (3 - 0)). Suppose 5*q - 6*r + 4*r - b = 0, -4*r = q - 31. What is the smallest common multiple of q and 20?
220
Let a(s) = s**2 - 14*s + 38. Let t be a(11). Let l be 12/(-30)*50/t. What is the lowest common multiple of 36 and l + (10/(-7))/((-14)/196)?
144
Suppose 366 - 1818 = -12*r. Let j = -89 + r. What is the lowest common multiple of j and 40?
160
Calculate the lowest common multiple of 399 and 675 + -4*(-117)/52.
4788
Let l = -117 + 121. Let p(f) = 10*f**2 + 2*f + 1. Let c be p(-2). Suppose -4*h + c = -a, -5*h - a + 55 = -4*a. What is the lowest common multiple of l and h?
8
Suppose -5*w + 2*d = -14, -2*d + 4 = 4*w - 0*d. What is the smallest common multiple of 1 and (216/(-18))/((-3)/w)?
8
Let c = 80 - 75. Suppose 38*d - 2337 = -627. What is the smallest common multiple of c and d?
45
Let p = 11512/215 - 12210141/1720. Let q = p + 7036. Find the common denominator of q and -91/32.
32
What is the common denominator of -61/2400 and -31 + 26 + (-692)/(-100)?
2400
Let c = 7358 + -7332. Calculate the smallest common multiple of c and 34.
442
Let a = -13969/18 + 772. Find the common denominator of (5/((-105)/(-18)))/(45/(-280)) and a.
18
Let q = 2213324047/2832 + -781541. What is the common denominator of 7/176 and q?
31152
Let q = 56 - 46. Calculate the lowest common multiple of (-8)/(-44) + 86/11 and 4/(-10) + 104/q.
40
Calculate the common denominator of (-6)/(-6) - (-4 + (-801)/(-108)) and 19/314.
1884
Let w(h) = h - 3. Let p = -61 - -66. Let u be w(p). Calculate the common denominator of (60/28)/(u/7) and -85/4.
4
Let y = 502 + -642. Find the common denominator of 19/(-7)*y/72 and 11/338.
3042
Suppose -1150 = -6*x + x. Suppose -6*y + 8*y - 5*l - 81 = 0, 3*y - 81 = 3*l. Calculate the lowest common multiple of y and x.
2070
Let y be 144/(-10)*(-1824)/(-3). Let x be (11 - (-136430420)/15600) + (-1)/4. Let s = x + y. Find the common denominator of -15/8 and s.
312
Suppose 3*k = -4*r - 156, -2*r - 78 = k + k. Let f = 50 + r. Let g(x) = 4*x - 12. What is the lowest common multiple of g(4) and f?
44
Let f be 2237/3384 - (-1 - (-66)/54). Let q = 3/47 - f. Calculate the common denominator of -7/4 and q.
8
Let k(m) = 2*m**3 + 11*m**2 - 612*m + 9. Suppose -32 + 11 = -a. What is the least common multiple of a and k(15)?
378
Let y = -8 - -11. Let s(u) = 5*u**2 + 344*u - 3393. What is the smallest common multiple of s(10) and y?
1641
Let m = -239 + 709. Calculate the smallest common multiple of m and 658.
3290
Let r = 17799 - 17344. What is the lowest common multiple of 728 and r?
3640
What is the common denominator of -3 + 1 + (6885/(-3000) - -4) and -3/250?
1000
Let t be 1064/1386 - 4 - 2/9. Let y = t + -347/132. Calculate the common denominator of 103/18 and y.
36
Let p be -1 + 2 - 9121925/(-4307375). Let n = p - 1/10135. Calculate the common denominator of 51/10 and n.
170
Suppose y - 3*d = -56700, -3*y + 5*d = -7*y - 226817. Let k = y - -22624481/399. Let q = k - -40363/1596. Find the common denominator of q and 91/6.
12
Let g be (1 + 0 - 3)*(-77)/14. Suppose 14*p - 345 = g*p. Suppose 0 = -5*i - 5*y + p, -3*i - 5*y = -0*y - 75. Calculate the smallest common multiple of 14 and i.
140
What is the common denominator of 2*((-2314)/1558 + (-327)/(-218)) and 27/4?
3116
Let k = 587472607/696 - 844070. Find the common denominator of k and -145/42.
4872
Suppose -107*b + 110*b - 327 = 3*s, -b + 4*s = -100. Let f(u) = -60*u - 12. Calculate the smallest common multiple of b and f(-3).
336
Let y = -558283791 + 348368646947/624. Let b = -9164/13 - y. What is the common denominator of b and 87/104?
624
Let t(a) = a**3 - 8*a**2 - 7*a - 20. Let d be t(9). What is the common denominator of 53/32 and d + 85/8 + -5?
32
Let n be 3 - (0 - 6928/(-228)). Let d = n - -96/19. Let l = 100321/22 - 4561. Calculate the common denominator of l and d.
66
Suppose -5*i = -2*x + 300, -i + 16 = 3*i. Suppose 0 = -d + 5*c - 17, -4*d - 3*c + 0*c + 47 = 0. What is the least common multiple of x and d?
160
Let v be (-1)/((-30)/25 - -1). Suppose 0 = -4*z + p + 103, 3*z - v*z = -p - 51. Let b = 32 - z. What is the least common multiple of 11 and b?
66
Calculate the common denominator of -32/5 and ((-2814900)/(-189252))/25 - (1 - 6/14).
11265
Let d = 104639/490568 - -1/5512. Let s = -9815/534 + d. Find the common denominator of s and 127/18.
18
Let j = -17033/1716 + 192/143. Suppose 0 = w - 3*p, 5*w - 2*p - 2*p = 33. Calculate the common denominator of j and ((-6)/w)/((-2)/(-47)).
12
Suppose -6*d = -2*d - 4*p + 2148, -2669 = 5*d + 3*p. Calculate the common denominator of 2*1*d/60*1 and (-2)/(-6) + 255/50.
30
Suppose -269 = 3*c + q, 5*q = 4*c + 239 + 126. Let h = c + 134. Calculate the lowest common multiple of h and 12.
132
Calculate the least common multiple of (322/(-56) - 3)/((-1220)/1216 + 1) and 180.
23940
What is the least common multiple of 1512 and 27*((-41)/(-1) - 1 - -2)?
4536
Calculate the common denominator of 46/97 and ((-8)/640*-4)/(291/(-636)).
485
What is the smallest common multiple of 774 and ((-155)/(-35) + -3)*(-490)/(-175)?
1548
Suppose 5*y - c = -12197, -c + 9762 = -4*y + 2*c. Let i = y + 17107/7. Let g = -83057/153831 + 1/1091. Find the common denominator of i and g.
987
Let n be ((-79425704)/(-2170))/(18/7). Let w = n + -14234. Let a = w - 30403/2790. Find the common denominator of a and 19.
10
Let b = 1498 + -10452/7. Let r = -87/28 + b. Find the common denominator of (13 - 15)*(-164)/(-16) and r.
4
Suppose 0 = -2*j + 5 + 333. Let g = j + -157. Calculate the least common multiple of g and 39 + -10 + 2/2.
60
Let d = 7/3287 - 280067/315552. What is the common denominator of 37/32 and d?
96
Suppose 70*l - 111*l = -779. Suppose 0 = 2*i - d - 105, -14*d = -2*i - l*d + 111. Calculate the lowest common multiple of i and 5.
265
Let n = -6 + 8. Suppose -31 = -r - 19. Suppose -11*o + r = -7*o. What is the least common multiple of n and o?
6
Let t = 27791 - 43628. Let i = 2153865/136 + t. Calculate the common denominator of 65/32 and i.
544
Find the common denominator of -45/34 and ((-6)/(-4))/((-3393)/441 - -8).
170
Let y be -84*6/(6 - 18). Let c = 14/9 + -347/90. Calculate the common denominator of y/(-63) - 298/(-132) and c.
110
Suppose -165 = -96*m + 107*m. Find the common denominator of 1 - (-45)/(-16) - -1 and -2*(-223)/192 + m/90.
32
Let s(w) = 6*w - 17 - 31 - 27. Let d = 15 - 3. Calculate the smallest common multiple of s(17) and d.
108
Find the common denominator of (-828)/54*(-7)/(-2863) and 74/15.
6135
Suppose 2*d + i + 11433 = 0, 7*d - 3*i + 17145 = 4*d. Let k = -34201/6 - d. Find the common denominator of -83/12 and k.
12
Let y = -91/20 + 2479/580. Let a = 3351/172 + 23/86. Calculate the common denominator of a and y.
116
Let n(w) = -632*w - 1457. What is the lowest common multiple of 714 and n(-4)?
2142
Let u be 10/(-5)*-10*(-29206)/(-8). Let t = u + -1536280/21. Let h = 138 + t. What is the common denominator of h and -40/33?
231
Suppose 10*q - 269 - 288 + 457 = 0. Calculate the smallest common multiple of 90 and q.
90
Let v(w) = -6*w**2 + 16*w + 114. Let y(j) = -j**2 - 3*j. Let s(o) = v(o) - 5*y(o). Calculate the smallest common multiple of 10 and s(29).
860
Suppose n - 117 = 2*n. Let k(a) = 52*a + 1764. Let w be k(-34). Find the common denominator of (-2 + (-232)/n)*(-159)/w and 61/8.
312
Let o be (-49)/(-6) - 2/12. Let d = 109 - 39. Calculate the common denominator of -23/7 and o/28 - 412/d.
35
Let z(j) = 39*j + 18*j - 84*j + 17*j + 381 + 40*j. What is the lowest common multiple of z(-12) and 24?
168
Suppose -13360 = -272*c - 62*c. Let o = 12 + 58. What is the lowest common multiple of c and o?
280
Let i = 17/1780 - 1406/445. Find the common denominator of 44/7675 and i.
30700
Let n = 151 + -155. Find the common denominator of -43/40 and n - 1416/(-224) - (3 - -1).
280
Suppose s + 110 = -s + 2*q, 5*s + 275 = -2*q. What is the least common multiple of 6 and (-13156)/s - (-8)/10?
240
Let n be -1 + (-4 - 10870/(-14)). Let j = 237005/308 - n. What is the common denominator of 59/2 and j?
44
Let d = 59269/6 + -9853. Let p = 393357/97580 + -281/4879. Let c = 3/17 + p. Find the common denominator of c and d.
60
Let x be 112876/360 - (-12)/(