 Let v = -19210 + g. Let s = -158422/21 - -7542. Calculate the common denominator of s and v.
168
Suppose -d = -5*d - 12. Let k be (3/d - -3)*1 - 0. What is the common denominator of 2181/504 - (16/7 - k) and -76/9?
72
Let i = 25 - 11. Let x = 338841 + -338677. What is the smallest common multiple of x and i?
1148
Let q(y) = y**3 + y**2 - y - 15. Let v be q(0). Calculate the common denominator of (-18)/16*(-38)/v and (-6 + (-141)/(-2))*((-66)/(-36) - 2).
20
Find the common denominator of 253291/2075010 - (1 + 38/(-42)) and 41/5.
410
Let q(g) = -16*g - 28. Suppose 8*r + 5 = -51. What is the smallest common multiple of q(r) and 16?
336
Suppose -h + 56*u = 61*u + 57, -6 = u + 6. Suppose -4*s = -274 + 58. Calculate the least common multiple of s and h.
54
Let u = -6251 - -10977. What is the lowest common multiple of u and 18?
42534
Suppose 677*o - 678*o = -110. What is the least common multiple of o and 77?
770
Suppose -24*g = -9*g - 4515. Find the common denominator of 2 - 10/4 - 28 and (-2)/14*g/(-7).
14
Let l = -9642 + 9649. What is the least common multiple of 1 and l?
7
Suppose 0 = -7*y - 2*n + 794, 0 = 5*y + 3*n - 390 - 163. Calculate the smallest common multiple of 128 and y.
3712
Let b be (2/1)/((-18)/(-27)). Suppose -t = b*g - 31 - 7, 2*g - 17 = t. Calculate the least common multiple of 24 and g.
264
Let s = 343/9 - 1364/45. Let p = -2/1807 - -196983/18070. Calculate the common denominator of p and s.
10
Suppose -38*c - 196 = -10*c. Calculate the common denominator of 3/157 and (c/(-14))/(9/(-22)).
1413
Let x = 11990/13 + -145687/156. Calculate the common denominator of -91/396 and x.
396
Let b = 675 - 664. Suppose -1575 = b*i - 36*i. Calculate the lowest common multiple of 6 and i.
126
Let y = 17498 + -1102462/63. What is the common denominator of y and 169/168?
504
Let n = 3/15941 - -1418605/765168. Find the common denominator of (-6)/(-80)*6407/894 and n.
240
Let g = -60 + -128. Calculate the common denominator of g/(-220)*(-15)/9 and -77/45.
495
Let c = 71 + -39. Suppose 20 = 2*a - c. Suppose 5*w - i = 72 - a, 5*i - 70 = -5*w. What is the least common multiple of 22 and w?
110
Let n = 67 - 69. Let l = -8659/390 - -7/195. What is the common denominator of -7*(-12)/1386 + n and l?
66
Let g = 152/1869 - -1804375/5607. Let n be 9/3 - (-89277)/(-270). Let o = n + g. Calculate the common denominator of o and 145/66.
330
Let f = 42670084/1651 + -25845. Calculate the common denominator of 42/11 and f.
18161
Suppose 248 - 28 = -11*a. Calculate the common denominator of -1 - ((-37)/5 + 1) and 9/(-42)*a/(-6).
35
Let i(w) = -4*w + 480. Let z(m) = -3*m + 240. Let j(g) = -2*i(g) + 5*z(g). Calculate the lowest common multiple of j(33) and 72.
72
Suppose 22*w - 21*w - 5*h = 18, 0 = w + 4*h. Let y = 43 + -33. Calculate the lowest common multiple of y and w.
40
What is the common denominator of 462/(-1595)*((-8)/36 - 0) and -79/45?
1305
Let y = -110211/4690 + -2/2345. Suppose -4*g + 279 = 3*z, -2*g + g + 186 = 2*z. Calculate the common denominator of y and z/14 + (6 - 7).
14
Suppose a + 0 = w + 12, -3*a - 2*w = -11. Calculate the smallest common multiple of a and (0 + (-2)/(-3))/((-4)/(-354)).
413
Let z be ((-60)/18 + -2 + 4)*3. Let p be 2/z*(-4 + 12). Calculate the common denominator of -49/22 and 903/(-270) - p/10.
198
Let w = -48365/7326 - 49/407. Let b = -394713/295 + 1338. Let z = b - 401/1180. Calculate the common denominator of z and w.
180
Let g be (-6)/48*-2174 - (-6)/(-8). Suppose -4*h + g = -149. Suppose 0 = u - 3*q - 36, -2*q = -4*u - 3*q + h. What is the least common multiple of 18 and u?
54
Let f = -3708/65 - -6863248/120315. Let t = -109685/220269 - f. Find the common denominator of t and 36.
119
Suppose 4*f - 2*o + 3 = -5*o, -5*o = -15. Let i(r) = 595*r - 3. Let s be i(f). Let b = s - -14237/8. Find the common denominator of 23/74 and b.
296
Suppose 0*b + 2*b + 2 = 0. Let m be 3 + 1 - b/(-1). Suppose m*s + 4*n + 0*n + 4 = 0, 5*n = -5*s. What is the lowest common multiple of s and 7?
28
Let o = -5/9292 + -167201/102212. Find the common denominator of 0 + 1 - (-838)/(-812) and o.
4466
Let g be (117/18)/(1/(-2)). Calculate the lowest common multiple of g/((-52)/240) + -6 and 36.
108
Let c = 5680 - 2181143/384. What is the common denominator of c and 31/9?
1152
Let p = -35 - -65. What is the least common multiple of p and (-7)/1 - (-2758)/197 - (-4)/(-1)?
30
Let z(u) = -10*u - 3. Let i(t) = 595*t - 29741. Calculate the least common multiple of z(-3) and i(50).
27
Let b(t) = -8*t + 4. Let l be b(-1). Suppose 4*k - m - 72 = 0, 0 = -0*m + 3*m + l. Let x(c) = -c + 23. What is the smallest common multiple of 11 and x(k)?
66
Let r(d) be the third derivative of -d**5/60 - d**4/12 + 6*d**3 - 10*d**2. What is the lowest common multiple of r(5) and 3?
3
Let w = 9265 - 7295. What is the smallest common multiple of w and 35?
13790
Let u = 2/3647 - -149523/7294. Let m = -171009/458768 + 1/8656. Find the common denominator of m and u.
212
Let k = 336349/5570730 - 9/36410. Calculate the common denominator of k and -103/90.
1530
Let t(b) = 8*b + b**2 - 30 + 11*b + 119 + 5. What is the least common multiple of 20 and t(-18)?
380
Suppose 4*s - 3*u - 56 = 0, -s + 14 = 23*u - 21*u. Calculate the smallest common multiple of 45176 and s.
316232
Let u be 7/(5/(-46 - -1)). Calculate the smallest common multiple of ((-4)/12)/(1/u) and 38.
798
Let o = 358 - 432. Calculate the common denominator of 17/12 and (-5 - 1002/(-204))*o/6.
204
Suppose 22 = 2*i + 4*o, -5*i - 5*o = -31 - 4. Suppose -6*w - 22 = -28. What is the smallest common multiple of (w/2 + 76/(-8))/(-3) and i?
3
Let y = 783 + -747. What is the lowest common multiple of y and 6684?
20052
Let b = -52 + 57. Suppose -3*c - 12 = 0, 3*a = -4*c + b + 78. Calculate the smallest common multiple of 15 and a.
165
Let v = -655624/49 + 13381. What is the common denominator of v and -37/70?
490
Let q = 326 - -148. What is the common denominator of (76/4560)/(2/q) and 35/4?
20
Suppose 0*d = r - 4*d + 13, -d = -4*r - 37. Let i be -101 + 98 - (118/(-13) - -1). Let s = i + -1322/117. Calculate the common denominator of r and s.
9
Let i = -89 + 231. What is the lowest common multiple of 7 - (1 - 0)/(1/(-3)) and i?
710
Let i = 27/3994 - 298525/143784. Find the common denominator of i and 113/96.
288
What is the lowest common multiple of 756 and -10*19/(-570) + 4534/6?
756
Suppose 186 = 220*l - 215*l - 3*k, 3*k = l - 42. Calculate the lowest common multiple of l and 6.
36
Let o = -44756244657/11705 - -3823686. Find the common denominator of o and -37/9.
105345
Let w = 27545933/620 + -44429. Calculate the common denominator of w and -17/6.
1860
Suppose -14 - 22 = -3*m. Calculate the smallest common multiple of 2/(-16) + 588/96 and m.
12
Let x = -4174 - -4690. Calculate the lowest common multiple of 40 and x.
5160
Let x(n) = -57*n**2 - 506*n + 65. Let z(y) = y**2 + 3*y + 4. Let u(s) = -4*s**2 - 2*s - 1. Let q be u(-1). What is the least common multiple of z(q) and x(-9)?
4
Let n = 23 + -19. Let m = 63 - 58. What is the least common multiple of (m/15)/(n/324) and 30?
270
What is the common denominator of -109/408 and 254/(-14)*(2/5 + (-74)/444)?
2040
Let k = -2358978525/1616 - -1459764. Find the common denominator of k and -59/202.
1616
Let m = 208930693/2586 - 80793. What is the common denominator of m and -133/18?
7758
Calculate the least common multiple of ((-5037930)/940)/(6/(-4)) and 3573.
3573
Suppose 16 = 2*l + 4. Let t = -8 + l. Calculate the least common multiple of t/(-12)*-2 + (-16)/(-12) and 9.
9
Find the common denominator of ((-984)/(-60))/(3 + 234/(-10)) and 37/72.
1224
Let i = 31 + 9. Let y = 1593 + -1575. Calculate the least common multiple of y and (5/(-10))/((-2)/i).
90
What is the common denominator of -47/192 and (-140)/126 - 1281/864?
192
Let r(o) = 30*o**2 - 3*o - 6. Let z be r(2). Let a = -343927/20 - -17201. Find the common denominator of a and (-771)/z - (18 - 22).
180
Let a(y) = y - 18. Let h(s) = -2*s + 35. Let m(w) = 11*a(w) + 6*h(w). Calculate the least common multiple of (-2)/(-5) + (-180)/(-50) and m(5).
28
Let g = 4276 + -4265. What is the smallest common multiple of g and 196?
2156
Let h be -6 + -1 - (27 - 27). What is the smallest common multiple of 120 and (h - (-156)/30)/((-2)/20)?
360
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