
30
Let m be -9*(4 + (-11)/3). Let n be ((-112)/(-21))/((-2)/m). Find the common denominator of 73/14 and (2/9)/(n/(-6)).
42
Let q = 36 - 34. Let b be (-6)/(-9)*(-9)/2. Calculate the smallest common multiple of 1/b + (-245)/(-15) and q.
16
Let o(b) = 2*b + 288. What is the smallest common multiple of o(-9) and 90?
270
Let r be ((-147)/(-125265))/(6/(-31555)). Let z = r + 6/1193. What is the common denominator of 85/6 and z?
6
Suppose 0*j = -v - 3*j + 9, 4*v = -j + 14. Let y = -60 - -62. Calculate the lowest common multiple of 12*((-5)/v + 2) and y.
4
Let w = -20633/4740 - -203/79. Calculate the common denominator of w and 44/9.
180
Let v(q) = 4*q**2 + 38*q + 21. What is the smallest common multiple of v(-9) and 27?
27
Let m(d) = d**3 + 7*d**2 - 11*d - 8. Let o be m(-8). Let x = -8 + o. Let p = -32 + 50. Calculate the smallest common multiple of x and p.
72
Suppose 2*j = 0, -22*c + 26*c = -3*j + 112. What is the lowest common multiple of 196 and c?
196
Let l(y) = 2*y + 36. Suppose -12 + 117 = -7*g. What is the least common multiple of 11 and l(g)?
66
Suppose -17 = -6*m + 55. What is the smallest common multiple of m and 4?
12
Let r be (-48)/288 - ((-349)/6 + -1). Let f = -53 + r. What is the least common multiple of 20 and f?
60
Let c(g) = g**3 + 14*g**2 - 15*g + 1. Let a be c(-15). Calculate the common denominator of -77/8 and (-395)/(-15) - 2/a.
24
Suppose 0 = 2*z - 10*z - 96. Calculate the lowest common multiple of 8/6*(-45)/(-6) and 1*z*(-15)/9.
20
Let m = -11323/14 + 808. Let w = -157/2 + 79. What is the common denominator of m and w?
14
Let z = -3881/90 + 212/5. Let a = 3/2840 + -31953/2840. Calculate the common denominator of z and a.
36
Suppose 5*w - 92 = 28. What is the lowest common multiple of 15 and w?
120
Suppose 4*f + 4*f = -392. Calculate the lowest common multiple of (8/(-28))/(7/f) and 4.
4
Suppose 47*b = 41*b + 96. Calculate the smallest common multiple of 348 and b.
1392
Let f = -34330/13 + 2641. Find the common denominator of ((-3)/(-8))/(3/(-59)) and f.
104
Let x = -532 - -7984/15. Calculate the common denominator of x and ((-2033)/342 - -11)/2.
180
Suppose -5*s + 2027 = -3*y, -4*s + 14*y + 1620 = 10*y. What is the lowest common multiple of 580 and s?
4060
What is the least common multiple of 183 and 2 + 3 + (22 - 0) + 0?
1647
Suppose -4*s = j - 19, -j = -3*s + 4*j + 20. Calculate the common denominator of -15/4 and (8/s - 1)*930/24.
4
Let y = -120/7 + 47417/2786. Find the common denominator of 65/2 and y.
398
Let u(o) = -2*o + 1. Let v(j) = j**3 + 7*j**2 + j + 6. Let t = -4 - 3. Let b be v(t). What is the smallest common multiple of 6 and u(b)?
6
Let v = -228 - -234. What is the lowest common multiple of 82 and v?
246
Let j(q) = -q + 33. Let f be j(8). Suppose -22*w + f*w = 348. Calculate the smallest common multiple of 18 and w.
1044
Suppose 0 = -4*k - 55 + 231. Let v = k + -28. Calculate the least common multiple of 228 and v.
912
Let d = 81 - 79. Calculate the lowest common multiple of d and 3.
6
Let l = -21 - -25. Suppose -3*t - 2*q = -6*q - 53, -l*t = -q - 88. What is the least common multiple of t and 8?
184
Let u(t) = 30*t + 12. Suppose 23*d - 16 = 19*d. Let j be u(d). Find the common denominator of ((-6)/(-20))/(j/7370) and -29/68.
68
Suppose k + 135 = -4*k. Let v(q) = q**2 + 6*q. Calculate the smallest common multiple of v(-8) and 6/k + (-56)/(-9).
48
What is the smallest common multiple of 77 and 267/12 + 0 + (-38)/152?
154
Let d = 1613719/366 - -23247/61. Let i = 4806 - d. Let n = -2/895 - -38501/7160. Calculate the common denominator of n and i.
24
Let j(c) = 2*c + 2. Let x be j(3). Calculate the common denominator of -59/3 and (-244)/(-60)*(1 - 4/x).
30
Suppose 132 + 116 = 4*u. Suppose -2 = o - 2*a, o + 18 = 2*o + 3*a. Calculate the smallest common multiple of u and o.
186
Let h = 36 + -20. Let a = 16 + -14. Suppose 2*v = -4, -44 = -3*t + a*v - v. Calculate the smallest common multiple of h and t.
112
Suppose 2490 = 5*d + 5*l, -10*l = -d - 6*l + 478. Calculate the lowest common multiple of d and 10.
2470
Suppose -5*c - 2*n + 95 = 0, -5*c - 4*n = -n - 100. Let i(v) = 2*v - 28. Calculate the lowest common multiple of i(c) and 20.
60
Suppose 49 = 5*v - 6. Suppose 37 + v = -o. Let p = 69 - 151/2. Find the common denominator of p and o.
2
Suppose -4*v = -9*v + 3*j - 77, -v - 5*j - 21 = 0. Let z = 1575/46 - -98/23. What is the common denominator of (-100)/25 + 9/v and z?
16
Suppose -3*m - 45 = -3*s, -2*s + 15 + 24 = -5*m. What is the lowest common multiple of s and 36?
36
Suppose 4*q = 5*z - 10, 9*z - 38 = 6*z - 4*q. Calculate the least common multiple of z and 48.
48
Find the common denominator of (-11)/(-12) - 1 - (-1261)/(-52) and 1/143.
429
Let n = -30346 + 910469/30. Let m = -19231/15 + 1280. Calculate the common denominator of m and n.
30
Let r = 214 - 212. What is the least common multiple of 6 and r?
6
Suppose 3*z = -g + 6, 0 = -4*g + g + 2*z + 29. Let j = 18 - g. Let h(b) = b**2 - 9*b + 12. Calculate the lowest common multiple of h(j) and 2.
12
Let w = 281/16668806 + 538508737607/121215557232. Let u = w + 3/1616. Calculate the common denominator of 61/24 and u.
72
Let w be 6/21 + 207131/1540. Let n = 1536/11 - w. Let d = 54729/10 + -5464. Find the common denominator of d and n.
20
What is the common denominator of 137/96 and (-139)/418 - 10/(-95)?
1056
Let w(x) = -34*x - 1. Let q(r) = -3*r - 16. Let j be q(-5). Calculate the smallest common multiple of w(j) and 27.
297
Let w = -8631 - -120753/14. Find the common denominator of w and (-4)/18 + (-1114)/252.
14
What is the smallest common multiple of -2 + (0 - 2 - -16) and -18 + 27 - (-2 + 2)?
36
Suppose -4*l = -l - 27. Calculate the least common multiple of -2 + ((-68)/(-12) - (-18)/(-27)) and l.
9
What is the common denominator of 14/50*(-4 - 637/(-168)) and 67/90?
360
Calculate the common denominator of 1 + (-608)/(-38)*(-2)/28 and 49/107.
749
Suppose -197*o + 194*o = -12. Suppose 5*j = 2*g - 44, -4*j = 2*g - g + o. Calculate the smallest common multiple of g and (-1)/(-1 - 0) - -1.
12
Suppose -3*c - 44 = -2*o, -4*c - 104 = -4*o - 24. Calculate the lowest common multiple of o and 4.
16
Let c be ((-9)/(-468))/(10/(-17036)). Let l = 344/13 + c. Calculate the common denominator of 27/14 and l.
70
Let s be (-24)/(-16)*(0 - -4). Let u be 40/s*(-45)/(-6). Calculate the least common multiple of u/4 + 6/(-4) and 4.
44
Let g(c) = 2*c**3 - c**2 + 2*c - 3. Suppose -5 = 4*j - 13. What is the common denominator of g(j) and 25/11?
11
Suppose -2*f + 2 = -4. Suppose -6*o + f*o = 105. Calculate the common denominator of o/(-8) + 0 + -2 and 49/5.
40
Let s = -192939/16 - -12065. Let o = -92 + -12409. Let h = -224959/18 - o. Find the common denominator of s and h.
144
Suppose -286 = 7*m - 18*m. Let j = m + -16. What is the smallest common multiple of j and 14?
70
What is the common denominator of 163/90 and 6 + (12/90 - 1157/180)?
180
Let k be 1/(-4) + 3/12. Suppose k = -5*l + 25. Suppose 11 = 2*r + l*i, 3*r - 5*i = -r + 7. What is the lowest common multiple of 3 and r?
3
Let c be 37 - (4 + -2)/(-2). Let j = 74 - c. What is the common denominator of (15/(-2))/(j/46) and 149/18?
36
Let q = -24797449/12 - -2065093. Let j = q - -1362. Let p = 61/19 - -299/114. Find the common denominator of p and j.
12
Let a be (-2)/(-15)*39010/(-16). Let h = -323 - a. Find the common denominator of 75/2 and h.
12
What is the common denominator of (18/2115)/((-16)/410) and -10/141?
564
Let s(y) = -13*y + 157. What is the smallest common multiple of s(12) and ((-21)/28)/((-2)/8)?
3
Let o(n) = n**3 - 3*n**2 + 6*n + 6. Calculate the least common multiple of o(0) and 172.
516
Let a = -1285/33 - -234361/6072. Calculate the common denominator of a and 46/7.
1288
Calculate the common denominator of 157/(-30) + 1*8/(-12) and (-182)/(-80)*10/4.
80
Suppose 5*r + 3*r = 128. What is the lowest common multiple of r and 1?
16
Let s = 1639/333 + 51/74. Let k = 15102 + -317201/21. What is the common denominator of k and s?
126
Let i = -130 + 193. Calculate the lowest common multiple of 39 and i.
819
Let s = -27421/931 + 1139/38. Find the common denominator of 9/10 and s.
490
Let c = 1506958087/5372920 - 167978/619. Let q = 5/1736 - c. Find the common denominator of q and 71/16.
80
Let s be (15/(-9) + 1)*-9.