west common multiple of l(z) and h(18).
84
Suppose -4*i + 0 - 2 = 2*y, -17 = -i + 3*y. Let v = -7 + 10. Suppose 0 = -v*z, -2*b + b + 24 = -i*z. What is the lowest common multiple of 33 and b?
264
Calculate the common denominator of (10/(400/12))/(2 - (-774)/(-375)) and -5/26.
208
Let r = -10092 + 10098. What is the least common multiple of 80 and r?
240
Let y = -7015311 - -112357119/16. Let s = 7015 - y. What is the common denominator of 61/394 and s?
3152
Let s be -2 - 13/(234/(-1148)). Let i = s - 59. Calculate the common denominator of 13/27 and i.
27
Let v(g) = -g**3 + 16*g**2 + 2*g - 22. Let s be v(16). Let d = 315 - 307. Calculate the least common multiple of 2/2*(s + -1) and d.
72
Let b = -9 + 14. Let l(j) = 3*j**3 - 17*j**2 + 8*j - 83. What is the least common multiple of l(6) and b?
5
Calculate the common denominator of 18/30 - 608/(-475) and 131/12*(-2 - -12)/5.
150
Suppose 3*s + 2*y = 128, 2*s + 13*y = 11*y + 86. Calculate the least common multiple of 1386 and s.
1386
Let d be ((-210)/504)/((-2)/(-400)*2). Let l = d + 37. Calculate the common denominator of l and 38/9.
9
Let y(o) = 20*o - 960. Calculate the least common multiple of 2660 and y(61).
34580
Suppose -1 = -m, 2*m - 14 = -5*v + 23. Let x = -5 + v. Suppose -x*j + 4*a + 60 = 0, 60 = 3*j + 4*a - 0*a. Calculate the least common multiple of 10 and j.
120
Let s = 2297 + -5993. Find the common denominator of 74/20*385/s and -39/14.
672
Let t be (1 - 0) + (-1)/1. Suppose 2*g = 3*y + 114, -2*g + 29*y = 33*y - 142. Suppose t = 12*k - g - 153. Calculate the lowest common multiple of 8 and k.
72
Suppose 0 = -4*i + 4*r + 1132, -2*r + 1460 = 5*i + 2*r. What is the smallest common multiple of i and 12?
288
Let j(o) = 3*o**2 + o - 391. Let l be j(19). Let f = -693 + l. Let v(y) = 5*y. Calculate the least common multiple of f and v(3).
90
Let v = -97 - -68. Calculate the common denominator of 6/9*(-6)/40*v and (2/(-32))/(3/(-159)).
80
Let w be (8/6)/((-6)/(-81)). Let q be (w/15*-4)/((-9)/120). Suppose -q = 3*b - 118. What is the least common multiple of b and 1?
18
Suppose -m = -2*s + 214, 4*s + 4*m - 39 = 365. Suppose 3*u - s = -r - 1466, 1804 = -4*u - 4*r. Calculate the common denominator of 29/9 and (u/(-39))/(1 - 0).
9
Let w(s) = 5*s - 30. Let x(n) = n**2 - 10*n + 25. Let v be x(9). Calculate the smallest common multiple of w(v) and 40.
200
Let m(q) be the third derivative of q**5/60 - q**4/6 + 15*q**3/2 - 16*q**2 + 2. What is the least common multiple of m(9) and 3?
90
Suppose -25 - 17 = -6*x. Suppose 24 = v + 5*s, 0 = -5*v + s - x + 75. Calculate the least common multiple of v and 390.
2730
Let o = -2667 - -2737. Calculate the least common multiple of 350 and o.
350
Suppose -4*k + 162 = 3*d + 136, 5*k + d = 27. Calculate the lowest common multiple of 315 and k.
315
Let b(n) = -11*n - 15*n - n**2 + 17 - 4. Let d be b(-24). Let h = d + -45. What is the smallest common multiple of 16 and h?
16
Suppose r + 438 = 2*h + 84, -3*h + 521 = r. What is the least common multiple of 735 and h?
3675
Suppose 0 = -3*b - 32 - 58. Let v be 4/(-7)*105/b. Calculate the common denominator of 47/14 and v/18*153/18.
126
Let a be (-378561)/48 + (-2)/4. Let m = a + 7884. Find the common denominator of m and 62/112 + 2/4*(-54)/63.
16
Suppose -2*q - 3*q = 5*r + 35, 5*r + 7 = 2*q. What is the common denominator of 0/2 + 99/2 and r + 7 - (-119)/(-10)?
10
Let u(i) = 933*i - 3. Let y be u(-7). Let f be ((-1772)/6 + -4)/((-224)/(-4893)). Let t = f - y. Find the common denominator of t and -17/18.
144
Suppose -v + 21 - 1 = 0. Let k = -17 + v. What is the smallest common multiple of (k - (2 + 5))*-2 and 6?
24
Suppose 28*m - 19*m + 36*m - 1620 = 0. What is the least common multiple of m and 10?
180
Let x = 4816 + -4121. Calculate the lowest common multiple of x and 9.
6255
Let u(n) = 9*n**2 + 2*n + 3. Suppose -16*a + 10*a - 6 = 0. Calculate the least common multiple of 20 and u(a).
20
Let l = 1803593/8377980 - -70/10741. Find the common denominator of -77/78 and l.
780
Calculate the common denominator of -99/1780 and (-7 + (-3 - -2) - (-114)/12)/5.
1780
Suppose -12 = 2*s - 8*s. Suppose -y + s*y - 6 = 0. Suppose -8 = -y*j + 22. Calculate the smallest common multiple of j and 4.
20
Let f(q) be the first derivative of q**3/3 - 15*q**2/2 + 50*q + 5. Suppose -s + 60 = s. Calculate the lowest common multiple of f(11) and s.
30
Let z = 53727/20 + -484063/180. Let m = -1669 + 195274/117. What is the common denominator of m and z?
117
Let d = 11732309/22 + -533478. Let c = -191 - d. What is the common denominator of ((-510)/(-272))/((-18)/56) and c?
66
Let k be 40*8*21/35. Let j = -174 + k. What is the smallest common multiple of 30 and j?
90
Let s(d) be the first derivative of d**3/3 - 3*d**2/2 + 63*d - 122. Calculate the smallest common multiple of s(6) and 63.
567
Let x = -4437 - -10918. Let g = x + -51767/8. Calculate the common denominator of -49/8 and g.
8
Let h(l) = -l**3 - 3*l**2 - 2*l - 281. Let v be h(0). Let u = v + 8521/30. What is the common denominator of u and 49/18?
90
Let k = -230 - -239. Let y(j) = j**2 - 10*j + 17. What is the lowest common multiple of 36 and y(k)?
72
Let i(w) = w**3 + w + 3. Let t be -1*(1 - -2 - 3). Let r be i(t). Suppose 108 = v + r*v. Calculate the least common multiple of 30 and v.
270
Let n = 7/204 - -1024/255. Find the common denominator of 67/1278 and n.
12780
Let s = -2710 + 9190. What is the common denominator of (-6)/(-5) + -1 - 108/s and 127/48?
240
What is the least common multiple of (5235/2)/(((-2)/(-6))/((-14)/(-63))) and 15?
5235
Let a(k) = 16*k + 75. Let q be a(-4). Suppose q*z - 7*z - 3*l - 111 = 0, 3 = l. What is the lowest common multiple of z and 6?
30
Suppose 5*c = -40 + 245. Let i = -82 - c. Find the common denominator of 123/10 and 88/462*i/(-8).
70
Suppose 0 = -12*d + 7*d + b + 311, -122 = -2*d + b. Let p(c) = 6*c + 15. Let o be p(-10). Let u = o + d. Calculate the smallest common multiple of 182 and u.
1638
Let p(w) = 6*w + 47 + 2*w - 3*w + 23 - 5. Calculate the lowest common multiple of p(-12) and 22.
110
Let x = -38256 + 38672. Calculate the least common multiple of 1456 and x.
2912
Let p(s) = s**2 - 3 + 4*s + 3 - 3*s. Let g be p(0). Suppose -5*q + 35 + g = 0. What is the lowest common multiple of 10 and q?
70
Let n be (-33 - -33) + 2 + 1. Suppose 4*o = 3*m - 122, m + n*o = 15 + 30. Calculate the least common multiple of 6 and m.
42
Suppose 0 = -5*d - 52 - 38. Calculate the smallest common multiple of (-45)/d*108/10 and 24.
216
Suppose -17*s = -80*s + 19656. Calculate the smallest common multiple of s and 2.
312
Let w(n) = -n**3 + 4*n**2 - 2*n + 10. Let d be w(3). Suppose -73 = -6*o - d. Suppose 0 = -2*j - o + 34. Calculate the lowest common multiple of 3 and j.
12
Suppose -9*n + 54 + 1656 = 0. Calculate the smallest common multiple of 190 and n.
190
Let b(n) = -n**3 - 25*n**2 - 23*n + 32. Let v = -40 + 44. What is the smallest common multiple of v and b(-24)?
8
Let k = 960412/63 - 15244. Find the common denominator of (-700)/560 + (-203)/(-108) + -1 and k.
189
What is the common denominator of ((6/4)/(-3))/(20/(-42)) and ((-16)/4)/(-8)*198/(-40)?
40
Suppose 172*l + 85 = 173*l - 155. Calculate the smallest common multiple of l and 730.
17520
Let u = -15 + 15. Suppose u = 3*x - 5*g - 33, -15 = 4*x - 8*x - 3*g. What is the common denominator of 119/12 and x/(-33)*214/8?
132
Let p(i) = -2*i**3 - 20*i**2 + 21*i - 8. Let a be p(-11). Suppose a*y - y = 3*z - 2, -5*y + 5*z = -5. What is the least common multiple of 111 and y?
555
Suppose 3*p = -5*g + 7480, 117*p - 4920 = 115*p + 5*g. Calculate the lowest common multiple of 80 and p.
2480
Let x = -28202/2765 - 1/2765. Suppose 7*g - 3*g - 40 = 0. Calculate the common denominator of (-6)/g + 158/330 and x.
165
Let w = -4310 - -2241. Let y = w + 33205/16. Find the common denominator of -59/16 and y.
16
Let g = 2/110059 - 14637935/4842596. Let f = g - -383/33. Calculate the common denominator of f and 7/18.
36
Let o = 34572420 + -1382674429/40. Let l = 5558 - o. Calculate the common denominator of -59/76 and l.
760
Suppose 18 - 6 = 3*i. Suppose -g + t - 18 = -t, i*g + 57 = 5*t. Calculate the common denominator of (-24)/g - 262/(-12) and 33/32.
96
Let f(t) = 6*t**2 - t. Let p = 3 - 2. Let s be f(p). Suppose -s*j + 0 + 30