0. Calculate the common denominator of (-102)/(-9)*(-5)/(-4) and 87/(-558) - 1/j.
186
What is the smallest common multiple of 32 and 12 + (-20)/((-55)/(-11))?
32
Suppose -6 = -2*d + m, 4 = 5*d - 4*m - 11. Suppose 4*x = -o + 12, d*x = -0*o + 3*o - 21. Calculate the lowest common multiple of (5 - -1)*9/6 and o.
72
Let w = -90 - -504. What is the lowest common multiple of 108 and w?
2484
Let d = 37 + -26. Let p = 25 - 17. Calculate the least common multiple of p and d.
88
Let m = 1127 + -1057. What is the least common multiple of m and 35?
70
Find the common denominator of 25/7 and 12/(-156) - 4/6.
273
Let k = -36139/19953 - 8/2217. What is the common denominator of k and ((3304/(-35))/8)/((-18)/(-20)*-2)?
27
Let o(w) = -131*w + 24. Let f be o(8). Let x = 14359/14 + f. Calculate the common denominator of -81/20 and x.
140
Suppose -2*g + 19 = -39. Let a = g - 27. Suppose a*t = -7*s + 3*s + 14, -14 = -3*s + 2*t. What is the smallest common multiple of s and 6?
12
Let n = 4/6827 + 293441/204810. Calculate the common denominator of n and -23/396.
1980
Let f = -29684/627 - -520/11. Let i = f + -1417/114. What is the common denominator of i and 238/(-20) + 3/(-6)?
10
Let c be 6 + (14/(-2) - -3). Suppose 3*j + 3*l = -c*j + 105, -4*l - 34 = -3*j. Calculate the lowest common multiple of j and 9.
18
Let b be 5 + -4 + -2 - 79. Let h = b - -98. What is the smallest common multiple of h and 6?
18
Let j = 5281 - 116251/22. What is the common denominator of j and 9/10*(-2)/12?
220
Let s be (21/63)/((-2)/(-6)). What is the common denominator of (s/(-8))/((-11)/(-363)) and -93/8?
8
Let l = 1979/1170 + 2/65. Calculate the common denominator of (2/4 - 2)*-9 and l.
18
Let x = 359 + -341. Calculate the lowest common multiple of 48 and x.
144
Suppose 2*j - 7*j = -4*c + 47, -5*j - 15 = 0. Suppose -u - 3*u + 53 = -5*r, c = -u - 3*r. What is the smallest common multiple of u and 5?
35
Let o be 682/8 + (-4)/16. Suppose -44 = 2*p - 4*j, j = -5*p - o + 8. Calculate the common denominator of (169/2)/(p + 1) and 1/3.
30
Let c be (-18358)/(-6) + (-2)/(-6). Let v = c + -79627/26. Let k = -8/123 + -6637/1968. Find the common denominator of v and k.
208
Suppose 59 = 3*v + l - 22, -5*v + 142 = 4*l. Suppose 14 = 2*f - v. Let o = 7146 + -7126. What is the smallest common multiple of o and f?
20
What is the lowest common multiple of 12 and (-4)/22 + (11 - (-1204)/(-154))?
12
Let a = -2713/2 + 1400. Calculate the common denominator of a and (-255)/(-900) + 1 + 3/(-15).
12
Suppose 1 = 6*i - 2*i + 3*d, -3 = -3*i - 3*d. Let c = 13 - 7. What is the common denominator of 39/10 and 2/c + 21/i?
30
Let w be (-1)/((-4)/(3 - -1)). Let y be 56 + -1 + (-3)/w. Suppose 4*v - y = 3*x, 0 = x + 4. Calculate the smallest common multiple of 11 and v.
110
Let t(l) = l**3 - l**2 - 3*l - 3. Suppose 5*w - w = -56. Let y = -7 - w. What is the lowest common multiple of y and t(3)?
42
Let i = 10 - 1. Let l = 4373 + -4349. Calculate the least common multiple of i and l.
72
Let m be (-5 - -15)*((-5397)/(-6))/(-7). Let l = 2513/2 + m. Suppose 0 = 4*p - 3*i + 123, -p + i - 2*i = 36. Calculate the common denominator of l and p.
2
Let l = 2/4771 + 190798/100191. Calculate the common denominator of -1 - 1/(-54)*-2 and l.
189
Find the common denominator of 20*1/(0 - 9) and -43/8.
72
Suppose 3*w + 4*z - 1107 = 451, -1047 = -2*w - z. Calculate the smallest common multiple of 2 and w.
526
Let n = 2413/6 + -19487/48. Calculate the common denominator of -119/66 and n.
528
Suppose 80 = 5*j - 20. Let y(w) = -w**2 + 18*w - 10. Let h be y(17). Suppose h*v = 3*v + 64. What is the smallest common multiple of v and j?
80
Suppose 25 = 3*o - o + 5*q, -4*o = q - 59. What is the least common multiple of 22 and ((-5)/o)/(1/(-18))?
66
Let c = 224869859 + -5620854929/25. Let s = c - 35682. Let g = 7339/400 + s. What is the common denominator of g and 31/4?
16
Let p(j) = -j**2 - 13*j - 16. Let g = 68 - 76. What is the smallest common multiple of 33 and p(g)?
264
Suppose -24 = -2*f - 2*c, f + c + 3*c + 3 = 0. Let x(r) = r**3 - 18*r**2 + 19*r - 17. What is the least common multiple of 8 and x(f)?
136
Let l(s) = -s**3 - 7*s**2 - 7*s + 3. Let d be l(-6). Suppose -d - 1 = -5*c. Suppose -2*g + 6 = -c. What is the lowest common multiple of g and 11?
44
Let v = -1363785199/460 + 2964749. Let p be 205/(-100) - (-22)/55. Let h = p - v. Calculate the common denominator of h and -1/11.
253
Let k(w) = w**3 - 3*w**2 + 4*w - 3. Suppose n = f - 7, 6*f - 8*f + 13 = -n. Calculate the smallest common multiple of f and k(3).
18
Let l(v) = -12 - 2*v + 7 + 3*v. Let f be l(6). Suppose -11 - f = -3*j. What is the smallest common multiple of 2 and j?
4
Let b be -47*5/((-25)/(-5)). Let o = b - -65. What is the lowest common multiple of 18 and o?
18
Suppose 223*u - 6936 = 206*u. Calculate the smallest common multiple of u and 6.
408
Find the common denominator of 871/(-1092) + (-4)/14 and -103/110.
660
Suppose 0 = 34*s - 870 - 1578. What is the smallest common multiple of 1 and s?
72
Suppose -62*v + 58*v = -32. Suppose v = 4*w - 28. Calculate the lowest common multiple of w and 12.
36
Let w be (-4 + 10)*10/(-20). Let a = 5 + -3. What is the lowest common multiple of 8/w*(-9)/a and 18?
36
Suppose -13*t + 29 = 3. Calculate the smallest common multiple of t and (-59)/3*-3 - 1.
58
Let g(i) = i**2 - 15*i - 14. Let z be g(16). Calculate the smallest common multiple of ((-5)/2 - z)/(21/(-28)) and 10.
30
Suppose 0*x - 96 = -2*x - 3*u, -4*u = 4*x - 184. Suppose 18 = -4*p - x. Let d = 19 + p. What is the smallest common multiple of 4 and d?
4
Suppose 144 = 5*n + 4*a, 0*a = -n - 5*a + 12. What is the common denominator of (-402)/n + 4 - -3 and 85/16?
16
Let m = 1176229/752115 - -4/19285. Calculate the common denominator of 89/90 and m.
1170
Suppose -3*i - 2*a + 182 = 0, 3*i + 5*a - 184 = a. Calculate the least common multiple of 160 and i.
480
Find the common denominator of 94/(-76)*(10/(-2))/(-20) and 15/14.
1064
Let t = -15 - -20. Suppose -7 = 2*w - t. Let g = 2 + w. Calculate the smallest common multiple of g and 7.
7
Let h = -276 - -318. Calculate the least common multiple of h and 3.
42
Let x = -367 - -409. What is the least common multiple of 14 and x?
42
Let z = 501995/599711 + -4/12239. Find the common denominator of -37/483 and z.
3381
What is the common denominator of 91/32 and (-27)/(-45)*((-573)/258 - -1)?
1376
Let i(c) = 3*c + 45. Let n be i(0). Suppose -r - 2*r = -k - 59, 2*r + 5*k = n. What is the smallest common multiple of r and 12?
60
Let f(v) = v**3 + 9*v**2 + v + 18. Let n be f(-9). Calculate the common denominator of (n/108)/((-9)/92) and 75/8.
216
Let u = 839 + -810. Calculate the least common multiple of 6 and u.
174
Calculate the common denominator of 53/108 and 2/(-4)*1/(24/(-318)).
216
Suppose -9*y + 230 = -11*y. Let a be (4 + 470/y)/7. Let l = 43/23 + a. Calculate the common denominator of -24/17 and l.
119
Suppose 4*o = -a + 8, -2*o + 3*o + 49 = 4*a. What is the lowest common multiple of a and 36?
36
Suppose 0 = 25*v - 589 - 236. Calculate the least common multiple of v and 129.
1419
Let z be 6/(-12) + (-5)/(-2). Let i = z + 1. Suppose 6*b - 6 = -0. What is the least common multiple of b and i?
3
Let d = 14419/8 + -78117/56. Let s = 412 - d. Calculate the common denominator of -27/5 and s.
35
Suppose -5*q - 29 = -s, 5*s - 3*q + 0*q - 57 = 0. Let b(t) = t**2 - 6*t + 11. Calculate the least common multiple of s and b(3).
18
Let s(v) = 3*v**2 - 66*v + 8. What is the least common multiple of 79 and s(22)?
632
Let v = -5/924 - -20651/2772. Let l(c) be the second derivative of -c**5/20 + 7*c**4/12 + c**3/6 + 5*c**2/2 - 2*c. What is the common denominator of l(6) and v?
9
Suppose -2*z + z = u - 7, -u = -4*z + 18. Let p(l) = 2*l. Calculate the least common multiple of 48/5 - (-6)/15 and p(z).
10
Suppose 6*t + 489 - 543 = 0. Calculate the smallest common multiple of t and 125.
1125
Let g be (-3)/(-9)*571/5. Let l be (-24)/54*(-1086)/(-16). Let f = l + g. Find the common denominator of 117/20 and f.
20
Let y = -134211 + 14763329/110. What is the common denominator of y and 73/10?
110
Suppose -2*h + 16 = m, 5*h + 5*m = 3*h. What is the least common multiple of 45 and h?
90
Let s(h) = -h**3 + 3*h**2 + h + 24. Let r be s(0). Calculate the common denominat