 the common denominator of r and 75/112.
336
Let j(f) = 5*f**3 - 21*f**2 + f. Let a be j(4). Calculate the lowest common multiple of 54 and 1*a*(-52)/13.
432
Suppose g + 150 = 152. Suppose w - 119 = -3*m, 3*m = g*w - 6*w + 116. What is the lowest common multiple of m and 24?
120
Let q be (7/(-84)*-3)/(2/32). Suppose -q = 2*h - 4*l, 7*h = 6*h + 5*l - 17. Let i = -12 + 30. What is the smallest common multiple of h and i?
72
Let r = 1920 - 9641/5. Find the common denominator of r and 6/(-200)*(2 + 50).
25
Let y = 66 - 50. Suppose -g - g + 20 = 4*c, g - 4*c = y. What is the smallest common multiple of g and 18?
36
Let m(o) = -o + 27. Let x be ((-426)/9)/(3/((-27)/6)). Suppose x*v = 69*v. What is the smallest common multiple of 24 and m(v)?
216
Let k = -4746 - -5968. Calculate the smallest common multiple of 52 and k.
2444
Let z = 52/3149 + 22722924/15745. Let t be 129321/90 + (-3)/(-4). Let c = t - z. What is the common denominator of c and 27/22?
220
Let i(k) = -2*k**3 + 16*k**2 + 39*k + 20. Suppose -8*u = -4*q - 4*u + 40, -4*q + 28 = 2*u. What is the smallest common multiple of i(10) and q?
40
Let i(n) = 3*n - 6. Let b(f) = 8*f - 40. Let o be b(5). Suppose o = 2*k + 2*z - 10, 6 = 2*z - 4*z. What is the least common multiple of i(8) and k?
72
Suppose 90*h + 486 = 96*h. What is the least common multiple of h*-3*(-3)/9 and 9?
81
Suppose -643*q + 3 = -640*q. Suppose 6*b - 371 = 1165. Calculate the lowest common multiple of b and q.
256
Let l be 6 - (-8)/(20/5). Suppose -h - 4*u = -8, 4*h = -4*u - l + 28. Suppose h*j - 7*j = -72. What is the smallest common multiple of j and 9?
72
Let v = -80 - -500. Calculate the lowest common multiple of v and 20.
420
Let g = -390 - -88. Calculate the common denominator of -87/70 and 2*1*g/168.
210
Let t(a) = 10*a**2 + 2*a - 12. Let z be t(10). Let w = z - 2000. Let h = w - -6927/7. Find the common denominator of h and 56/9.
63
Suppose 4*r = -651 + 643, m - 5*r = 574. Calculate the smallest common multiple of m and 78.
7332
Let b = -22326 + 22329. Calculate the lowest common multiple of b and (-2)/(-8) + 83/4.
21
Let k = -6/1187 + -63804/58163. Find the common denominator of 36/13 and k.
637
Suppose -7 = 5*m - 22. Find the common denominator of 12/297*m/2 and ((-13)/702)/(4/(-60)).
198
Let y(s) be the second derivative of -13*s**3/6 - 12*s**2 + 169*s. Calculate the lowest common multiple of 54 and y(-6).
54
Let l(c) = -c**2 - 3627*c**3 - 2*c - 1 - 3*c + 3*c. Let v be l(-1). What is the common denominator of v/5538*(-1)/((-6)/(-4)) and 41?
71
Find the common denominator of (2597/2744)/(2/8) and (85/(-3))/(310/15).
434
Let c be 2/4 + (-990)/(-44). Let z = c - 21. Calculate the lowest common multiple of z and 26.
26
Let t = -52 + 53. Suppose 0 = -3*o - 2 + 29. Suppose -u + 11 = 2*u - 2*b, 0 = -4*u - 3*b + o. What is the lowest common multiple of t and u?
3
Let l(f) = -f**3 + 15*f**2 + 3. Let x be l(15). Let q = x - -67. What is the common denominator of -38/5 and (-120)/((-48)/6)*4/q?
35
Calculate the common denominator of 1 + 1*574/(-388) and -6 - ((-1070)/20 - -2).
194
Let x be (-45)/(-6)*(-8)/(-6). Suppose -x*c = -12*c + 72. Suppose 4*a + 3*b - 47 = 0, 6*a - 8*a - 4*b = -c. What is the least common multiple of a and 20?
40
What is the least common multiple of (6 - (6 - 1))*85*(-10 - -24) and 5950?
5950
Let k(m) = m**3 + 7*m**2 + 7*m + 3. Let i be k(-6). Let p be (-3 - -9)/2*(-2)/i. Find the common denominator of (-4)/(p*-8) - 8/12 and -27.
12
Suppose -47*o = 28*o - 19743 - 47157. What is the smallest common multiple of o and 1338?
2676
Let p = -123023/12 - -10249. What is the common denominator of 59/36 and p?
36
Suppose 97*a = 215*a - 1652. What is the least common multiple of a and 291?
4074
Let p(w) be the second derivative of w**4/3 - 16*w**3/3 - w**2 - 28*w - 2. What is the lowest common multiple of 6 and p(9)?
102
Let s(n) = 7*n**2 - 9*n + 2. Let m be s(7). Calculate the common denominator of 1 + 0 - (-57)/22 and -6 + 3 + 687/m.
1034
Let s(d) = -3*d + 3. Let c be -2*(-5)/(2 + -1 + 1). Suppose t + c*j = 2*t + 15, -6 = -3*t - 2*j. What is the lowest common multiple of s(t) and 20?
60
Let a = -24380 - -27369. What is the lowest common multiple of 11 and a?
32879
Let d be 2/6 + 47726/(-12). Let y(k) = 19*k**2 - 74*k - 207. Let v be y(-13). Let w = d + v. Calculate the common denominator of 67/22 and w.
66
Suppose 0 = 2*f + 2*s - 672, 4*f + 2*s - 834 - 514 = 0. Let d = 354 - f. What is the smallest common multiple of d and 51?
816
Let y = 217841/49110 + -4/1637. Find the common denominator of ((-30)/75)/((117/33)/(-3)) and y.
390
Let q = -112763/20 + 5632. Find the common denominator of 4/3 and q.
60
Calculate the common denominator of (-1923)/(-630) - 18/(-45) and ((1 + -2)*1840/(-552))/(616/18).
462
Suppose -4*t = 4*g - 36, -2*g + 4 = -2*t - 3*t. What is the smallest common multiple of g and 168/7 + (-816)/51?
56
Let a = -29493/7 + 531017/126. Find the common denominator of a and 67/27.
378
Suppose -r + 3*c + 6 + 11 = 0, 4*c + 41 = 5*r. Calculate the common denominator of -3/260 and r/(-20) + (478/24)/(-1).
780
Let h = -133480/21 - -6356. Find the common denominator of h and 11/1734.
12138
Suppose 2*u - 1 = -0*g + g, 0 = -5*g + 5*u - 30. Let a(r) = 171*r - 34. Let h be a(g). Let i = 11531/6 + h. What is the common denominator of i and -29/6?
6
Suppose -3*f = -5*j - 363, 5*f - 664 + 99 = -5*j. Suppose 155*u - 70*u - 38*u - 282 = 0. What is the lowest common multiple of f and u?
348
Let f = -2284761/2182336 + 2/34099. Let y = -2728357/96 + 28419. What is the common denominator of f and y?
192
Let a(u) = -u**3 + 46*u**2 - 321*u - 28. Calculate the smallest common multiple of a(37) and 112.
2912
Calculate the lowest common multiple of ((-41)/(-123))/(2/84) and -6*290/4*42/(-63).
2030
Let s = -64 + 49. What is the least common multiple of 56 and (-3)/(-5) - (4 + 96/s)?
168
Let c = -24 + 12. Let j = c + 30. Let a = -836 + 846. What is the smallest common multiple of a and j?
90
Let d = 103/21 - 5581/1155. Calculate the common denominator of -68/2135 and d.
23485
Let u = -33956 - -33961. Calculate the lowest common multiple of u and ((-46)/(-3))/((-1)/(-6)).
460
Let c be (4 + (-62)/16)*6548/(-6). Let o = -640435939/84 + 7624098. Let n = c - o. Calculate the common denominator of 25/9 and n.
63
Suppose 0 = 5*m - 5*l + 7384 - 62594, -4*l + 22084 = 2*m. Calculate the lowest common multiple of m and 14.
77294
Suppose -o = 875*t - 879*t + 707, -2*t + o + 355 = 0. What is the lowest common multiple of t and 308?
1232
Let x = 1684/11 - 328382/2145. Let q = -53609/17160 + x. Calculate the common denominator of 151/36 and q.
72
Let k = 14 + -10. Suppose -f + 30 = 5*y + k*f, 5*y + f = 26. Suppose -y*n + 2*t + 65 = 0, -n = -3*n - 5*t - 3. Calculate the least common multiple of 29 and n.
319
Let h = -19273 - -23565. What is the lowest common multiple of h and 9?
38628
Let d(f) = -5*f**2 - 25*f. Let z be d(-5). Suppose 28*s - 224 - 224 = z. Calculate the lowest common multiple of s and 4.
16
Suppose -n - 38543093 = -2*k - 3*k, 4*n + k + 154172351 = 0. Let c = n - -1542231251/40. Let f = 12696 - c. Find the common denominator of 103/20 and f.
40
Let h(r) = r**2 - 56*r + 3760. What is the lowest common multiple of 24 and h(48)?
10128
What is the common denominator of 4/(-690)*2170/(-28) and 53/1081?
3243
What is the common denominator of 149/276 and ((-94)/1081)/(88/87)?
3036
Suppose r + 2 = 0, -u + 6*u = r + 632. Suppose 5*l + 3*i = 3*l + u, -3*l = 3*i - 189. What is the least common multiple of l and 49?
441
Suppose 4*i = i + 9, s - 20 = -5*i. Suppose -5*y = -10*y - 10, -3*c = y - 61. Suppose c + 19 = s*p. Calculate the least common multiple of 30 and p.
120
Suppose -49875 = 2*i + b, 5*i = 8*i - 2*b + 74795. Let h = i - -598525/24. Find the common denominator of h and 6/15 + (-366)/(-160).
48
Suppose -4123 = -22*w - 5363 + 19720. What is the least common multiple of w and 330?
9240
Let z be 15*6/(-27)*(-6)/5. What is the smallest common multiple of (-48 - -21)*z/(-6) and (1 - -1) + 92 + -2?
828
Let f = 1145 + -1128. Let r(q) = -4*q**3 - 5*q**2 - 2*q - 1. Let i be r(-3). Find the common denominator of -109/12 and 103/7*f/i.
84
Let d = 29/20 - 187/10. Suppose s = 2*s - 37. Find the common denominator of d and 9/(-30)*s + 0.
20
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