) = -8*g + 7. Let s = -369 + 371. Suppose -111 = -s*u - 1. Calculate the least common multiple of b(-6) and u.
55
Let h be (-7513)/12463*38/(-12). Let k = h - -25/206. Let s = 11 + -32/3. What is the common denominator of k and s?
33
Find the common denominator of (26/252)/((-485)/(-776) + 5/16) and 121/1680.
15120
Let z(k) = k**3 - 2*k**2 + 3*k + 3. Let h be z(2). Let m be 3 + (1896/h)/8. Let l = 43/6 - m. Calculate the common denominator of 119/12 and l.
12
Suppose 28*s - 26*s = 0. Suppose s*b = 3*t - 3*b - 78468, 0 = -5*t + 2*b + 130771. Let q = -575271/22 + t. Calculate the common denominator of 99/26 and q.
286
Let r = -22902 + 22918. Calculate the smallest common multiple of 4650 and r.
37200
Let f = 206117/33 - 6245. Let w be -3 - 1*63/(-22). Let x = f + w. Find the common denominator of -7/8 and x.
24
Let c = -1421/8 + 1951017/10984. Let b = 108459/5492 - c. Find the common denominator of b and (-11296)/(-1152) - 2/9.
12
Suppose 24*f - 190 + 29 - 199 = 0. What is the lowest common multiple of f and 1296?
6480
Let s(g) be the second derivative of 23*g**4/6 - 5*g**3/6 - 3*g**2/2 + 5*g + 1. Let j = -2574 + 25623/10. Find the common denominator of s(-1) and j.
10
Let b = -108 - -96. What is the least common multiple of b/15 + (-416)/(-20) and 15?
60
Find the common denominator of 8/1 - (21 - (-3126)/(-240)) and 83/1260.
2520
Calculate the least common multiple of 6*((-1008)/196)/(2/(-154)) and 72.
2376
Let p be 272/612*(-9)/(-2). Suppose -p*a + 48 = 5*n, 31*n + 28 = 32*n + 5*a. Calculate the smallest common multiple of n and 1.
8
Suppose 54*f + 20590 = 83*f. What is the least common multiple of f and 497?
4970
Let r(u) = 4 - 66*u + 5 + 5 + 1. Let n be r(-4). Suppose 0 = 7*y - 1 - n. Calculate the smallest common multiple of 12 and y.
120
Let w(i) = -16*i + 32. Let n be w(-7). Suppose -91*q + 87*q + n = 0. Calculate the lowest common multiple of 28 and q.
252
Suppose 228*z + 163*z = 39*z + 136224. Calculate the least common multiple of z and 2709.
2709
Calculate the common denominator of 1620/206496*52/10 and -39/32.
7648
Let h = -303293795/1054 + 287755. Calculate the common denominator of h and -83/238.
7378
Let t(m) = -8*m**3 - 15*m**2 - 12*m - 28. Let u be t(-10). Calculate the common denominator of 69/14 and (24/u*2)/(6/76).
1442
Let s(g) = -g**3 + 5*g**2 + g - 3. Let z be s(5). Let v(a) = a + 3. Let h be v(z). Find the common denominator of -26/21 and (-7 + h)/((-1)/((-74)/(-12))).
21
Suppose -5*o + 5*c + 505 = 0, o - 3*c = -4*o + 495. Calculate the smallest common multiple of o and 60.
480
Suppose 2*b - 2*c - 13 = b, -5*b - 2*c = -17. Suppose w = 13 + b. Suppose -5*m = -2 - w. What is the smallest common multiple of m and 11?
44
Calculate the least common multiple of 264/16*((3864/18)/7 - -2) and 294.
3234
Let i = -9863265/68 + 145052. Let m = -3427/765 - -40/9. Let f = i + m. Calculate the common denominator of -19/12 and f.
60
Suppose -6*x - 183 = -117. What is the common denominator of -42/23 and (-2)/x*106/4?
253
Let n(x) = x**3 - 4*x**2 - 3*x - 4. Suppose 0 = -7*z + 18*z - 8*z - 33. What is the least common multiple of n(5) and z?
66
Let h = 27294 - 26930. Calculate the smallest common multiple of h and 42.
1092
Let z(a) = -a**2 + 5*a + 7. Let y be z(6). Let p be (-6)/4*(y - 7)/(-3). Find the common denominator of ((-27)/6)/(p/(-19)) and -109/18.
18
Calculate the smallest common multiple of 6 and (-4)/(-12)*1 - 83485/(-15).
16698
Let m(k) = -2*k**3 - 5*k**2 + 2*k + 7. Let f be m(-2). Let c(x) = -2*x**3 - 3*x**2 - 2*x + 2. Calculate the least common multiple of 267 and c(f).
267
Let t = -66 + 22. What is the common denominator of (-79)/(60*(-3 + (-7)/(-2))) and (18/t)/((-6)/14)?
330
Let o(n) = -1441*n**2 + 4*n + 2. Let g be o(-4). Let z = 1015015/44 + g. Find the common denominator of z and (-15)/4*((-5425)/(-1750) - 26/8).
176
Suppose 10*r - 324 = 4*r. Calculate the smallest common multiple of 774 and r.
2322
Let i = 5961 - 5892. What is the smallest common multiple of i and 115?
345
Suppose k + v - 847 = 0, 65*k = 69*k - 2*v - 3418. Calculate the smallest common multiple of 781 and k.
9372
Suppose 5*m - 165 = -4*h + 1, -9*h - 267 = -4*m. Let s be 183/4 + 2/8. Let n = s + -22. What is the smallest common multiple of n and m?
168
Let s = -47548 - -47570. Calculate the lowest common multiple of -1 + 10*(2 - 1) and s.
198
Suppose -10*k - 217 = -17. Calculate the common denominator of -44 - -39 - (78/k)/(-1) and 51/11.
110
What is the common denominator of -41/1864 and ((-76)/16*1)/(70/120)?
13048
Let i = -206625 + 221915267/1074. What is the common denominator of i and 71/27?
9666
Suppose 17*p - 748 = -5134. Let i = 19941/8 + -2496. What is the common denominator of 8 - p/(-54) - -2 and i?
72
Let x = 51674 + -85365419/1652. Find the common denominator of x and 31/531.
14868
Suppose -t + 264 = -3*t. Calculate the common denominator of 1 - (-4)/(-12) - (-331)/30 and (-3 - -2) + t/(-14).
70
Let h be 4/(-18) - ((-56034)/8667 - -8). Let i = h - -53903/26964. Find the common denominator of i and 125/18.
252
Let w be ((-150)/(-24) + -4)*40/3. Let u be w/(6 - 3)*-1. What is the common denominator of -8*(-68)/(-90) - (-4)/u and -59/33?
99
Let s be 1 + 7 - (-6 + (-27)/(-3)). Suppose -s*n + 64 = -3*n. Calculate the lowest common multiple of 33 and n.
1056
Suppose 2573 = -3*c - 4*y, -14*c = -13*c + 4*y + 855. What is the common denominator of c/(-18) - (-10)/(-45) and 1/(-1) + (-112)/(-6)?
6
Let d = 193879 + -255144821/1316. Calculate the common denominator of -38/7 and d.
1316
Suppose 38 = 2*d + 15*o - 17*o, 0 = d + 2*o - 31. What is the common denominator of 38/63 and d*2/182*(-40)/(-16)?
1638
Calculate the smallest common multiple of 140 and -15*22/(-2310) - 838/(-14).
420
Suppose -647*p + 640*p = -280. Calculate the lowest common multiple of p and 140.
280
Let o be (-2)/(-1)*9/((-108)/(-24)). Suppose o*u - 36 = -x, 27 = 3*u - 63*x + 68*x. Calculate the least common multiple of u and 56.
504
Let u(n) = n**3 - 42*n**2 + 399*n + 15. What is the smallest common multiple of u(10) and 483?
2415
Let x = -2/112351391 + 568835096321/207175965004. Let g = 2/461 + x. What is the common denominator of (-118)/2360 + 1558/360 and g?
36
Let l = 142737/16 + -8915. Suppose -2*r + 993 = -1363. Let p = 9401/8 - r. Find the common denominator of l and p.
16
Suppose 236*d = 241*d + 2*q - 16, 2*q + 20 = d. Suppose 0 = 4*u - 3*c - 52, 2*c - 7*c = 20. Let g = d + u. What is the smallest common multiple of g and 2?
16
Let n = -1 + 1. Suppose 108 = -n*j + 4*j. Calculate the least common multiple of 13 + -5 - 12 - -34 and j.
270
Let w = -1/84872974 - 3684293364279/48717087076. Let z = -1051/14 - w. What is the common denominator of z and -55/8?
328
Let a be (-363)/(-4) - -2 - 3/4. Let t = 63 + a. Suppose -f = -5*d + 4*f + t, f - 101 = -3*d. What is the lowest common multiple of 24 and d?
264
Suppose 28*o - 1512 = o. Suppose -10*d = 17*d - 432. Calculate the least common multiple of o and d.
112
Suppose 5*x = 4*k - 8*k + 223, 0 = 3*k - x - 172. Suppose 11 = 3*a - 7. What is the least common multiple of k and a?
114
Suppose 0 = -104*s - 6191 - 5425 + 64032. What is the smallest common multiple of 3864 and s?
11592
Suppose -5*t = 5*f - 833 - 3202, 2*f - 3*t - 1629 = 0. Calculate the smallest common multiple of f and 280.
22680
Let d(x) = -13*x + 182. Let r be d(13). Suppose -2*a + 29 = -r. Calculate the least common multiple of a and 24.
168
Let z = 318601/57420 + 4/2871. Find the common denominator of -52/345 and z.
1380
Let a(x) = -1775*x - 4700. What is the smallest common multiple of 1000 and a(-3)?
5000
Calculate the common denominator of (-4)/(-238)*(-8)/((-320)/(-1220)) and 83/1680.
28560
Suppose 0 = 7*t - 3*k - 129, -2*t + 4*k = -3*t - 17. What is the least common multiple of 1617 and t?
8085
Suppose 4*w + 4*q = 3*w - 16, w - 3*q + 2 = 0. Find the common denominator of ((-218)/(-14))/(((-160)/(-14))/w) and 131/6.
30
Suppose -3*c - 42677 = -2912. Let z = c - -583245/44. Find the common denominator of z and 89/4.
44
Suppose 3*a = 5*f - 3017, 0*a = 5*f - 2*a - 3018. Suppose f = 12*q + 4. What is the lowest common multiple of q and 10?
50
Suppose y = 2*n - 4*y - 1333, 0 = -2*n + 4*y + 1332. What is the lowest common multiple of n and 2*10*11/(2695/98)?
664
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