?
27
Let f = -28265 - -30180. Calculate the smallest common multiple of f and 383.
1915
Let p be (-6)/(-3) + (-7 - (0 + -3)). Find the common denominator of -29/2 and ((96/(-75))/2)/(-1 - p).
50
What is the common denominator of (-771)/(-36) - ((-1)/(-8))/(22/(-44)) and -59/22?
66
Let o = -7/10461 - 61758236/31383. Let j = o + 1963. What is the common denominator of j and (-3)/9 + 138/(-9)?
9
Let k = 16954115/303 + -55954. What is the common denominator of k and 139/12?
1212
Let c = -187718 - -42424355/226. Let i = 9763/4520 - c. Calculate the common denominator of i and 97/80.
80
Let u(l) = -l**3 - 7*l**2 - 3*l + 23. Let k be u(-6). Find the common denominator of 31/377 and -3 + ((-102)/12)/((-4)/k).
3016
Suppose -4*f - 3*d + 0*d - 1 = 0, 0 = -2*f + 3*d + 13. Suppose 2*u + 2 = -52. Let m = 37 + u. What is the least common multiple of m and f?
10
Suppose 3*u = -y + 2*u + 36, 4*y = u + 124. Suppose -3*h + 12*h + 126 = 0. Calculate the lowest common multiple of y and (-377)/(-91) - (-2)/h.
32
Let g = 5635 + -5541. What is the smallest common multiple of g and 611?
1222
Let s = 13909 + -1390877/100. Let k = -2044643/48 - -42595. Find the common denominator of s and k.
1200
Suppose 3*t - 11 = -2*j, 400*t - 3*j = 399*t - 11. Suppose 0 = 3*g - 3*a + 9, 0 = 5*g - a + 1 - 2. Find the common denominator of 26/(-36) - (t - g) and -31/8.
72
Suppose 0 = 180*d - 244*d + 960. What is the smallest common multiple of d and 186?
930
Find the common denominator of (-572043)/410130 - (-20)/18 and -19/6.
1470
Let b = 1/292 + -2099/16060. Calculate the common denominator of b and -23 + 12 + -4*(-2005)/660.
165
Suppose -549 = -2*x - g, 3*x - 4*g = 511 + 329. What is the smallest common multiple of x and 13?
3588
Suppose s = -m + 40, s + 8*m - 40 = 10*m. Let p(g) = -g**3 + 9*g**2 - 6*g - 4. Let x be p(7). Let i = x - s. Calculate the least common multiple of i and 6.
12
Suppose 3*h + 3856 - 631 = -4*z, 2*z + 2148 = -2*h. What is the common denominator of 4 + 1/(98/h) and 97/724?
5068
Let k = 2/751345 + -1636579683/1502690. Let d be (546/8)/((-60)/960). Let t = d - k. Find the common denominator of -77/6 and t.
30
Let f = -127239/7376 + 3/7376. Find the common denominator of -93/1886 and f.
3772
Suppose -13 = 5*o + 7, -4*t - 2*o + 11424 = 0. Let j be (-3)/((-54)/4) - t/(-18). Find the common denominator of 91/6 and (1*j/(-24))/1.
24
Find the common denominator of 7/(44/(-3*4/(-6))) and ((-291)/20)/((-12402)/(-265)).
3432
Find the common denominator of (-2)/8*57855/665 and 173/240.
240
Let c = -7049597/82318896 - 2/190553. What is the common denominator of c and 119/468?
5616
Let w = -11 - -17. Suppose -w*x = 5*n - 5*x - 105, -5*n + 105 = 5*x. Calculate the least common multiple of n and 2.
42
Let u be -1 + 10*6/15. Suppose -u = -b - 0. What is the least common multiple of b and 18?
18
Let o = -124 + 718. Let m = o + -8897/15. Find the common denominator of m and 17/24.
120
Let d = -30893 + 19936. Let g = d - -164417/15. What is the common denominator of -41/48 and g?
240
Let q = -8966/7 + 53663/42. What is the common denominator of 2/(-6) - 305/(-570) and q?
114
Suppose -16*n = -11*n. Suppose -3*s - 5*d + 302 = n, -497 = -5*s - 6*d + 4*d. What is the least common multiple of s and 117?
1287
Suppose 12 = 4*u, 0 = 4*z - 112*u + 108*u - 392. Calculate the least common multiple of z and 314.
31714
Suppose -101*r + 32*r + 59136 = -21*r. Calculate the smallest common multiple of r and 1232.
1232
Let h be (-3)/(1/(-24)*-9). Let n(m) = 2*m**2 + 15*m + 17. Let i be n(h). Calculate the common denominator of 119/6 and -1*10/i + (-399)/(-10).
6
Let s(n) = -25*n + 431. What is the lowest common multiple of 81 and s(14)?
81
Let j(l) = 5*l + 10. Suppose 0*o + 4*o = -2*p - 4, o = -5*p - 19. What is the smallest common multiple of j(4) and o - (1/(-2) + 126/(-4))?
330
Let k(q) = -q**3 + 2*q**2 + 7*q - 2. Let l be ((-7)/(98/(-472)))/((-20)/(-70)). Let d = l - 105. Calculate the smallest common multiple of d and k(3).
130
Calculate the common denominator of -57/286 and 49 + -44 + 547/(-78).
858
Suppose 58994 - 562250 = -104*i. Calculate the smallest common multiple of i and 6.
9678
Suppose 3*d = -3*s + 1749 - 636, -d + s = -367. What is the lowest common multiple of 41 and d?
369
Let t(l) = 5*l**3 - 69*l + 243. Calculate the lowest common multiple of 779 and t(4).
5453
Let v(m) = 5*m**2 + 8*m - 2 - 3*m - 2*m + 0*m - 965*m**3. Let z be v(-2). Let j = z + -77219/10. What is the common denominator of -41/8 and j?
40
Let n = -40 + 60. Let x = -1 - n. Let w = x - -27. Calculate the smallest common multiple of 11 and w.
66
Let z = -128531/40 - -3216. Let g = 86477/48 - 1801. What is the common denominator of z and g?
240
Let m = 10673261/102 + -104641. What is the common denominator of 19/136 and m?
408
Let c be -3 - (-156)/3*1. Suppose -60 = -45*h + c*h. Calculate the least common multiple of (-18)/(-3)*(-5 + (-80)/h) and 31.
62
Suppose -3189 + 299 = 5*g. Let i = -29907/31262 + 3/1421. Find the common denominator of g/(-48) + 9/27 and i.
88
Let q = 58 + -52. Let r(p) = p**2 - 4*p - 12. Let b be r(q). Suppose -i - 5 = 0, -4*l + b*i = -2*i - 42. What is the least common multiple of l and 11?
88
Let u be (-16)/24 - (0 + 4505/15). Let o = 316 + u. Calculate the least common multiple of 55 and o.
165
Calculate the lowest common multiple of (-5)/(-20) + (-7 - (-950)/40) and 6.
102
Let j = 104631/22471 + -4/977. Let y = 2389/207 - j. What is the common denominator of 57/(-18) + (0 - 0) and y?
18
Suppose -5 = 3*f - 20, -2 = -m - 3*f. What is the lowest common multiple of (-442)/m - -1*1*-4 and 75?
150
Let k(g) = -151*g**3 - 4*g**2 + 388*g + 1179. What is the least common multiple of 364 and k(-3)?
28392
Let o be (8/19314)/((-43358)/(-132834981)). Let x = 4/269439 - o. Let p = 14/111 + x. What is the common denominator of -77/34 and p?
238
Suppose -5*q + 2*b + 527 = 0, 390*q + 523 = 395*q + 2*b. Suppose 11 = -3*v + 62. Suppose v*z - q = 2*z. Calculate the lowest common multiple of z and 10.
70
Calculate the common denominator of (-6 + 11825/1969)*53/(-15) and -17/2.
5370
Calculate the common denominator of -74*(-2)/(-80)*(-96)/612 and -58/55.
2805
Let a be -4 - 2/((-540)/1265). Let k = a - -134/297. What is the common denominator of (4/24)/(4/516) and k?
22
Let o = 5284 - 3394. What is the lowest common multiple of 60 and o?
3780
Let y be -3*8*45/(-90). What is the least common multiple of 3 and 68*(-3)/(-48)*y?
51
Let y = -16814757 - -12459732010/741. Let x = -25/114 - y. What is the common denominator of x and -62/3?
78
Let d = -2/827 + 48801/3308. Calculate the common denominator of (-2*(-2)/16)/(2/(-396)) and d.
4
What is the common denominator of ((-495)/(-30) - -5)/70 and -81/154?
1540
Find the common denominator of ((-10)/(-15) - 19/(-12))*1496/100452 and -117/20.
15220
Suppose -9*l = 5*z - 7*l - 17150, -z + l + 3423 = 0. Let f = z - 68599/20. Find the common denominator of -151/36 and f.
180
What is the common denominator of 29/6 and (-95)/(-5) + -18 - 2/(-6159)*-3114?
12318
Let r be (-1169)/(-68) + (-18)/(-12). Let s = 1/17 + r. What is the common denominator of -27/22 and s?
44
Let r = 103702132/15 + -6909396. Let o = 4075 - r. Find the common denominator of -27/5 and o.
15
Find the common denominator of -62/4505 and (-2872)/(-100) + -7 + -21.
22525
Suppose -v + 3*v + 2*f - 4 = 0, 4*f - 14 = 2*v. Let c be -7 + 5 - 62*v. Calculate the common denominator of 59/4 and ((-19)/5)/(144/c).
12
Let v(p) = -p**2 + 14*p. Let r be v(15). What is the least common multiple of 12 and (0 - 9)*r + -5?
780
Suppose -1720*s + 1697*s = -33580. What is the least common multiple of 2190 and s?
4380
Let k = 3 + -1. Let g = 23 + -138. Let w = 133 + g. What is the least common multiple of k and w?
18
Calculate the common denominator of (1 - 128)*(20 - (-93233)/(-4662)) and -79/4.
1332
Find the common denominator of -29/18 and (-16437)/(-80910) + ((-276)/(-60))/(-23).
16182
Suppose -4*l - 58 = 2*h, 5*h = -l + 2*l - 189. Let a = h + 34. Find the common denominator of -1/8 and (a - -5) + (-104)/10.
40
Let c be 4 + -6 + -3968 + 0. Let n be -9 - -6 - c/(-9). Let x = -445 - n. Find the common denominator of 7/8 and x.
72
Let z = 229 - 285. What is the common denominator of (1 - 3) + (-4 - 469/z) and 103/94?
376
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