the least common multiple of 344 and (-2 + (-85)/10)*(-12)/9?
2408
Let l = -25 - -4. Let n be (-32)/(-14) - (-6)/l. Suppose 2*m = -4*t + 18, -t - 3*m = n + 1. What is the lowest common multiple of 12 and t?
12
Let w = -78 + 191. Suppose 3*o = -x + 76, -o + w = 3*o - x. Find the common denominator of -1 + 2 + 30/o and 59/10.
90
Let w(x) = x - 3. Let f be w(7). What is the common denominator of 13/12 and ((-455)/(-90))/1 - f?
36
Let m(c) = -13*c - 9*c + 21*c - 3. What is the lowest common multiple of 2 and m(-13)?
10
Let d = -500 + 746. Calculate the smallest common multiple of d and 1.
246
Suppose 2*t - 56 = -5*t. Calculate the least common multiple of t and 32.
32
Calculate the common denominator of ((-63)/(-35) - 2)/(12/274) and -97/6.
30
Suppose -2*m - 5*w + 23 = 0, -2*m = w - 7 + 4. Suppose -5*k = 5 - 15. Calculate the common denominator of 19/4 and (m/k)/(33/138).
44
Calculate the common denominator of 103/18 and (-2)/7 + 13881/7938.
54
Find the common denominator of -5 + 4/(-8) - -4 and 133/48.
48
Let l(m) = -282*m - 758. Calculate the smallest common multiple of l(-3) and 44.
88
Suppose 3*u + 2*m - 5*m = 45, 4*u - m = 75. Suppose 8*p + 95 = -5*t + 3*p, 4*t = -p - 85. Let w = t + 38. Calculate the smallest common multiple of u and w.
80
Let y(u) = -33*u - 2. Let c(m) = -m**2 + 5*m - 3. Let l be c(6). Let w be y(l). Calculate the common denominator of ((-4)/(-20))/(3/w) and -19/11.
33
Suppose 0*x + x - 4 = r, 7 = x - 4*r. Suppose -2*z = 5*f - 65, -z + 4*z = 0. Calculate the least common multiple of x and f.
39
Let j = 51 - 29. Suppose -7 = f + q - 33, 0 = -5*f + q + 118. Calculate the lowest common multiple of f and j.
264
Suppose -4*t + 31993 = 3*a, 4*a + 5*t + 0*t = 42656. Suppose -4*w = -a - 20081. Let i = w + -153649/20. Find the common denominator of i and -69/14.
140
Let q = -27/167 - 5936/1503. Let f = 262/3 + -239/3. Calculate the common denominator of f and q.
9
Calculate the common denominator of 55/8 and 385/(-50) + 10/(-25).
40
What is the least common multiple of 1/(-10*(-11)/110) and 4?
4
Let n = -2/575 - -18414/4025. What is the common denominator of -52/31 and n?
217
Let r(u) = -13*u. Let j be r(1). Let c = -290 + 309. Let q = c + j. Calculate the lowest common multiple of 11 and q.
66
Let i be 2*((-105)/6)/(-7). Suppose -i = -0*s - s, 3*j - 4*s = -1118. Let y = j + 1445/4. Calculate the common denominator of 81/14 and y.
28
Let s(t) = -t**2 - 35*t - 48. What is the lowest common multiple of s(-33) and 414?
414
Let s = -14685 - -14693. Calculate the lowest common multiple of s and (0 - 20/(-6))*9.
120
Let f be (-59)/(-2) + (-8)/16. Suppose 0 = 2*q + u - 0 - 7, 4*q + 5*u = f. Calculate the least common multiple of 6 and q.
6
What is the least common multiple of 182 and (-2 - (4 - -44))*18/(-45)?
1820
Let f = -521 - -5685/11. Suppose -3*k + 186 = -6*q + 3*q, -2*q = -5*k + 313. Find the common denominator of f and (-4)/18 - (-365)/k.
77
Let p = 52 - 28. What is the lowest common multiple of (5/(-75)*-27)/((-4)/(-20)) and p?
72
Suppose 0 = v + 4*i + 10, 3*v - i = -25 - 57. Let o be (-1 - v)/(3 - 2). What is the common denominator of 121/12 and o + 0 + 2/(-4)?
12
What is the lowest common multiple of 3/(9/258) - 185/(-37) and 35?
455
Let n be ((-6)/4)/(24/(-448)). Calculate the smallest common multiple of -7*(4 + (-160)/n) and 12.
12
Let r(k) = -6*k**3 - k**2 + 1. Let c be r(-1). Find the common denominator of -27/14 and 0*(-3)/c + 186/(-16).
56
Let p = -2606 - -36479/14. Calculate the common denominator of ((-55)/(-50))/((-21)/(-5)) and p.
42
Let h = -35/124 + 3443/1984. Let v = 549159/14 + -1538716/77. Let s = 19239 - v. Calculate the common denominator of h and s.
704
Let n(u) = -u**2 - 100*u - 552. Let x = 2 - 0. Suppose 0 = -4*t - 5*i + 35, -3*t + 22 = -t - x*i. What is the smallest common multiple of t and n(-94)?
60
Suppose -3*i - 9 = 0, 5*r - 5*i - 82 = 53. Calculate the lowest common multiple of r and (12 - -2)/(2 - 1).
168
Suppose -8268 = 4*u - 1868. Calculate the common denominator of u/(-252) + 3/7 and 328/(-70) - 6/(-15).
63
Suppose 0 = 14*n + 11*n - 25. What is the least common multiple of n and 11?
11
Let a = -29 + 66. Let d = a - 23. What is the lowest common multiple of d and 8?
56
Suppose -4 = -a - v, 0*a = -4*a + v - 4. Suppose a = -q - 7 + 3. Calculate the common denominator of 79/16 and (q/(-18))/(8/714).
48
Suppose -l + 4 - 1 = 0. Suppose 2*k + 0*k - 16 = 0. Calculate the smallest common multiple of ((-6)/(-5))/l*50 and k.
40
Let r = 705962/45 + -15689. Find the common denominator of 47/14 and r.
630
What is the least common multiple of 70 and (-36)/360 - 1821/(-10)?
910
Let o = 32 - 14. Calculate the smallest common multiple of o and (-4)/(-6)*-3*-2*2.
72
Let h = 3220913/72 - 44734. Calculate the common denominator of 41/88 and h.
792
Let d be (-49544)/28 - (7 + -3). Suppose -405 = -j + 1374. Let k = d + j. What is the common denominator of 50/3 and k?
21
Let y = -74 - -72. Find the common denominator of -13/7 and y - (1 + 2)*144/(-114).
133
Let n = -4644 - -41728/9. Let g be (-37720)/(-24) + 4/18. Let l = g - 1576. Find the common denominator of n and l.
9
Calculate the common denominator of 89/6 and 73/(-39)*((-85)/70 - -1).
546
Let p = 87/16 + -149/16. Find the common denominator of p and (-261)/132 - (-12)/16.
88
Let b = -45 - -48. Suppose -2*g = -4*z + 48, 4*z = -g - b + 39. What is the lowest common multiple of 11 and z?
110
Let s be (3553/(-3))/((-60)/18). Let t = -349 + s. What is the common denominator of -13/3 and t?
30
Suppose -32*d + 12*d = -600. What is the smallest common multiple of 87 and d?
870
Suppose -n - 3*o = -6*n + 12, -5*o - 10 = -5*n. Suppose -6*y + 24 = -3*v - n*y, 51 = -2*v - 5*y. Calculate the common denominator of v and -11/2.
2
What is the common denominator of -83/250 and (-10428)/2464*(-8)/6?
1750
Suppose 2*k = 4593 - 337. Let r = -7015/487 - 11329836/5357. Let b = r + k. What is the common denominator of b and 13/4?
44
Let g(s) = s**3 + 11*s**2 + 3*s + 68. Calculate the lowest common multiple of g(-11) and 42.
210
Let z = 2965 - 2749. What is the lowest common multiple of 216 and z?
216
Let w = 345/3103 - -25/107. Find the common denominator of w and 67/10.
290
Let t be 54048/(-22)*434/279. Let b = t - -3822. What is the common denominator of 7/18 and b?
198
Suppose -23 = -6*o - 71. Calculate the least common multiple of 12/o*16/(-12) and 6.
6
Suppose -23063 - 6865 = -4*h. Let v be (3 + -2)/(h/102266). Let f = -2/1247 + v. What is the common denominator of -14/5 and f?
15
Let b(o) = -279*o - 3. Let j be b(-12). Let h = j + -13291/4. What is the common denominator of -8/7 and h?
28
Let y = -17 + 19. Let b(r) = 17 + 7*r + 23 - 26 + r**y. What is the least common multiple of b(-6) and 16?
16
Suppose w - 58 = -r, 26*r = 29*r - 2*w - 154. Calculate the smallest common multiple of 39 and r.
702
Suppose -7*j + 28 = -5*j - 2*k, 2 = -j - 3*k. What is the lowest common multiple of 0 - 1/(-2)*6 and j?
30
Let q = -634 + 361. Find the common denominator of ((-2)/(-8))/((-3)/(q/2)) and 61/178.
712
Let p(l) = l**2 + 3. Let w be (7/2)/((-5)/(-10)). Suppose 4*v = 5*a + w*v - 14, -2 = 4*a - 2*v. What is the smallest common multiple of p(0) and a?
3
Let q = 304613/105308 - -1/3761. What is the common denominator of 17/12 and q?
84
Let o = -25279/6 + 4201. Let r = -41/108 + 20707/54972. Let f = r - 12972/2545. Calculate the common denominator of o and f.
30
Suppose -k = -3*k + 70. Let b = k - -1. Suppose -a = a - b. What is the lowest common multiple of 16 and a?
144
Let f(o) = -5*o - 25. Let z be -22 + 15 + ((-1)/1 - -1). What is the least common multiple of f(z) and (18/(-21))/((-1)/7)?
30
Suppose -4*o - 20 = 0, -24*x + 29*x + 3*o - 85 = 0. What is the smallest common multiple of 22 and x?
220
Suppose 5*n - 2 = 3*n. Calculate the common denominator of (-158)/(-32)*(-3)/(3/2) and 570/(-4)*n/3.
8
Let h = 22 - 14. Suppose -13*i + 198 = 133. What is the smallest common multiple of h and i?
40
Let s = -1285843/274320 + -2/17145. Find the common denominator of s and 59/120.
240
Let h(a) = 26*a - 36. Calculate the least common multiple of h(6) and 2.
120
Let g = 56 - 508/9. Let j be (-3)/((63/(-6))/(-7)). What is the common denominator of 47/(-3) - (15/j)/(-5) and g?
18
Suppose 884 + 634 = 69*x