10*u - 11. Let s be d(9). Suppose -96*w - 5*k = -95*w + 11, -3*w + 2*k = -52. Calculate the least common multiple of ((-4)/3)/(s/9) and w.
42
Let c = -13/153675 + 382828/17570175. What is the common denominator of -16/441 and c?
3087
Let w = -55217 - -11816385/214. What is the common denominator of w and -17/8?
856
Let n be (-2)/(-1) - (2 - 11 - -9). Calculate the least common multiple of (-2412)/(-306) + n/17 and 7.
56
Calculate the common denominator of 754/273 + (0 - 4)/2 and (-2571)/270 - (-2)/9.
210
Let o(x) = x**3 - 16*x**2 - 4*x + 14. Let j be o(16). Let h = j + 36. Calculate the common denominator of -69/4 and (36/h)/(18/(-84)).
4
Suppose -216*a + 5556 = -276. Calculate the common denominator of a and (-8)/(-36) - 112/(-54).
27
Let u = -17471 + 17486. Suppose -f + 2 = -7. Calculate the lowest common multiple of f and u.
45
Let h(q) = 40*q**3 + 3*q**2 - 6*q + 18. Let d be h(3). What is the least common multiple of 187 and (-58)/377 + d/13?
935
Let t = -2/3387211 + -206615599/7235082696. Calculate the common denominator of t and -143/2670.
10680
Let h = -54 + 39. Let a(p) = -2*p - 42. Let u be a(h). What is the common denominator of -16/3 and (-33)/36*-2*u/(-21)?
21
Suppose 0 = 2*b - 2*n - 4350, -42*b + 10863 = -37*b + n. Calculate the smallest common multiple of 318 and b.
13038
Calculate the common denominator of 4/11 and (-3108)/(-37440) + 15/18 + -1.
11440
Let j = -300831/55 + 5470. Suppose 3*n - y - 365 = 0, 5*y - 100 = -n + y. What is the common denominator of (-2)/6 - (-34)/n and j?
220
What is the least common multiple of 13 and (-6)/3 - (16 - (256 + -4))?
234
Let x = -4204/5 + 1299271/1545. Calculate the common denominator of x and 15 + 70/(-15) + 5.
309
Let w = 18617/12690 + -1/2538. What is the common denominator of 210/351*(-6 - 27/(-5)) and w?
195
Let l(f) = -26*f - 430. What is the least common multiple of l(-29) and 708?
19116
Let t = 36872 + -28511. What is the smallest common multiple of 9 and t?
8361
Let l = 101 - -643. Suppose 2*o + o - 3*t - l = 0, 4*o - 986 = t. What is the lowest common multiple of -5 + 66/15 + o/10 and 3?
24
Let c = 1764 - 1756. Calculate the smallest common multiple of 20 and c.
40
Suppose -23*g + 1172 = 65*g - 3756. What is the lowest common multiple of 536 and g?
3752
Let v be -2 + 4/18 + 47840/(-630). Let g = -67519/868 - v. What is the common denominator of g and 83/24?
744
Let a = -842108847/4 + 81696920219/388. Let r = 31860 - a. Let n = -5960/2619 - r. Find the common denominator of n and -47/9.
27
Calculate the smallest common multiple of (4/(-28) + (-3689)/245)/(2/(-15)) and 30.
570
Let w be (-16)/4 - 2256/6. What is the common denominator of 199/w - (7 + 195/(-25)) and 2/(-64)*(-14)/7?
304
Let m = -499119 - -644861685/1292. Calculate the common denominator of 83/1292 and m.
1292
Suppose 8 = -2*x, l + 5*x = -l - 16. Let c be -1 + 4 + (-7 - -6). Suppose 0 = c*v + 3 + 5, 0 = -4*z + v + 16. What is the smallest common multiple of l and z?
6
Let y = 56/67 - 4669/536. Find the common denominator of y and -57/176.
176
Let m be (5 - 200/48)/((-92)/3). Let v = m - 11/230. What is the common denominator of 53/28 and v?
280
Let u(r) = 2*r - 24. Let z be u(14). Suppose 0 = -z*p + 3*b + 77 + 4, 3*p + 4*b = 42. Calculate the smallest common multiple of 12 and p.
36
Let c = -43000 - -2407913/56. Let z(q) = 3*q**2 - 9*q - 3. Let v be z(3). What is the common denominator of (708/(-54)*3)/(4/v) and c?
56
Suppose 165*x + 59742 = 211872. What is the lowest common multiple of x and 10?
4610
Let v(n) = 5*n**2 - 43*n - 14. Let c be v(9). What is the common denominator of 139/78 and 156/(-1183)*-7 + (-2)/c?
78
Let a(n) = -n - 3. Let p be a(-2). Let w(c) = 182*c - 864. Let o be w(5). Find the common denominator of -20/9 and (p + o/(-20))*11/9.
90
Let j = 5481 - 5472. Let p be (-2 - (-2)/4)*22. Let c = p + 60. What is the lowest common multiple of c and j?
27
Let o = 867/880 - 14/11. Calculate the common denominator of -47/222 and o.
8880
Suppose -581*g - 50*g + 108532 = 0. Calculate the lowest common multiple of g and 1828.
78604
Let f = -13 - -21. Let d(p) = -p**2 - 70*p - 651. Calculate the smallest common multiple of d(-13) and f.
360
Let i(x) = -6*x - 3. Suppose -35*j - 239 = 6. Calculate the least common multiple of i(j) and 153.
1989
Suppose 16*a - 119 - 713 = 0. Suppose 5*p + 32 = a. Calculate the smallest common multiple of 42 and p.
84
Let t = 7 + -7. Let d be (-721)/(-91)*2 + (-4)/(-26). Suppose t = d*x - 11*x - 170. What is the least common multiple of 18 and x?
306
Calculate the least common multiple of (132/(-396))/((6999/3501 - 1) + -1) and 9.
3501
Let h be (346892/32)/13 - 1/(-8). Let g = 87693 + -354087/4. Let n = g + h. Find the common denominator of n and 25/2.
4
Let y = 3 - 0. Let w be y + ((-14)/49 - 32/(-14)). Suppose 0 = -10*l + w*l + 60. Calculate the smallest common multiple of 30 and l.
60
Let h be ((-20)/25)/((-3)/(-60)). Let c(j) = -j**2 - 29*j - 32. What is the smallest common multiple of c(h) and 18?
1584
Let s(y) = y**2 + 2. Let i be s(1). What is the least common multiple of 19 and 1 + ((-4)/(-12) - 0)*i?
38
Suppose -32*l + 310 = -l. Suppose 178 = 2*u - 62. Suppose 2*o - l*o = -u. Calculate the smallest common multiple of 18 and o.
90
Let d = -80777/32304 - 238/673. Find the common denominator of -29/798 and d.
6384
Let d be 35/(-12) + 18/(-216). What is the lowest common multiple of -1 + d - 3*-3 - -11 and 270?
2160
Let z be (4855/(-10))/((-182)/(-252)). Let a = -21766 + 63277/3. Let o = z - a. Find the common denominator of -15 and o.
39
Let z = 3361 + -83998/25. Calculate the common denominator of -33/310 and z.
1550
Let y = 1069 - 1059. Let g = -115 - -218. What is the lowest common multiple of g and y?
1030
Let y be 0 - (21/(-7))/((-1)/(-11)). Let k = -252 + 493/2. Calculate the common denominator of k and 1*y*4*2/(-112).
14
Find the common denominator of 9/4 and ((-651)/(-56))/(2034/(-8)).
1356
Let p be (-171)/(-15) - (-4)/(-10). Suppose -5*b + 86 = p. Let w(x) = x**3 + 12*x**2 - 53*x - 347. What is the smallest common multiple of w(-14) and b?
15
Suppose 0 = -313*o + 358*o - 13500. What is the lowest common multiple of o and 1110?
11100
Suppose 4 + 11 = 5*p, i + 2193 = 3*p. Find the common denominator of -54/143 and (-14)/(-2) + 14826/i.
572
Let g = -2767 + 2865. What is the smallest common multiple of g and 868?
6076
Suppose 0 = -22*b + 10*b + 360. Suppose 36*u = b*u + 672. What is the smallest common multiple of 84 and u?
336
Let a = -66 - -122. Suppose 8*m - 5*m + 117 = 0. Let k = m + a. What is the smallest common multiple of 8 and k?
136
Let g(q) = -4*q**3 + q. Let p(t) = 5*t**3 - t - 1. Let s(u) = -3*g(u) - 2*p(u). Calculate the smallest common multiple of s(2) and 2/11 - (-4480)/770.
48
Let o be 0 - (17 - 1) - 2. Let y = 2836 - 17105/6. Calculate the common denominator of y and (-2)/(-4) + 52/o.
18
Suppose 4*i + 44 = 3*w, 3*i + 3*w = -w - 8. Let d(z) = -z**2 - 4*z + 40. Calculate the least common multiple of d(i) and 25.
200
Let h be (-10)/4 - -1 - 28/(-8). Suppose h*p - 15 = 15. Suppose -4*o - 418 + 58 = -5*v, 3*o = -p. Calculate the lowest common multiple of 22 and v.
748
Let i = -2427/85 - -1958873/68340. What is the common denominator of -73/28 and i?
5628
Let f be (-246)/615*1461/(-743) + (-4)/5. Let w be ((-3)/12)/(4458/234548). Let l = w + f. Calculate the common denominator of 58/15 and l.
30
Let a = 1/3752752063 + -7187739845065569/352758693922. Let s = -20376 - a. What is the common denominator of s and 81/20?
940
Let r(l) = 3*l**2 - 2*l - 8. What is the lowest common multiple of (2 + 3 + 0)*408/255 and r(-4)?
48
Let f(m) = 30*m - 22. Let s = -447 - -448. What is the smallest common multiple of 87 and f(s)?
696
Let y = -2290758/515 + 4448. What is the common denominator of y and -167/30?
3090
Let h = 8643 - 43488/5. Let z = -46 - h. Find the common denominator of z and (-4)/(-18)*21300/(-200)*(-2)/(-4).
30
Calculate the common denominator of (-4795)/774 - ((6 - 2) + -1 - 9) and -5/344.
3096
Let s be -3 + ((-5140205)/252520)/(-7). Let v = -103/472 - s. Find the common denominator of 43/18 and v.
1926
Let s(z) = -10 + 10*z - 10 - 26*z + 7 - z**3 - 16*z**2. Suppose -54 = 3*q - 3*p, -q = -0*q + 2*p + 9. Calculate the lowest common multiple of s(q) and 11.
2