) and 4/(-36) + (-103)/18 + 9.
54
Suppose -z + 237 - 34 = 5*c, -4*z + 717 = c. Let r = -1175/6 + z. Let p = 4959/4 - 1247. Find the common denominator of p and r.
12
Suppose -71*r - 4357 + 1522 = -86*r. What is the smallest common multiple of r and 99?
2079
Let c = 119 + 37. Suppose 5*f - 2*m = -4*m + c, 4*f - m = 117. Suppose 2*r = 3*l - 38, 0 = -2*l - 3*r + 4 + f. What is the lowest common multiple of l and 9?
126
Let g be 10/(-25) + (-47)/(-5). Suppose -g*w = -14 - 94. What is the lowest common multiple of 9 and w?
36
Let x be 0/2 - (-20 - -5)*-36. Let d be ((-8)/12)/(-3*1/x). Let k = -111 - d. Calculate the least common multiple of 30 and k.
90
Let x(k) = -48*k**2 + 6*k - 9. Let m be x(6). Let s = m + 4967. Let o = -32737/10 + s. What is the common denominator of 99/20 and o?
20
Let j(q) = q**3 - 4*q**2 - 38*q + 53. What is the least common multiple of 1648 and j(8)?
8240
Suppose 4*s + 4 = -2*x, 9 = -2*x - 5*s + 3. Suppose 10 = -0*r + r + 2*g, -18 = -5*r - x*g. Calculate the least common multiple of 27/r + (-2 - (-2)/4) and 9.
36
Let y(q) = -q**2 + 6*q - 4. Let h(d) = -2*d**3 - d**2 - 4*d - 3. Let i be h(-1). What is the least common multiple of y(i) and (-2 - 1)*(-20)/6?
20
Suppose -d = -4*p + 3, 5*d + 2*p - 9 = 4*d. Suppose 81 = 4*x + 3*g, 0*x = d*x + g - 93. Calculate the smallest common multiple of x and 6.
18
Let m = -80853199/1137 + 71111. Calculate the common denominator of -63/758 and m.
2274
Let v(k) = -8*k - 38. Let s be v(-17). Let u = 104 - s. Calculate the lowest common multiple of 246 and u.
246
Let j(a) = -129*a - 1463. Calculate the least common multiple of j(-17) and 65.
9490
Suppose -11*n - 16 = -k - 9*n, 3*n = 2*k - 27. Calculate the least common multiple of 142 and k.
426
Let k(l) be the third derivative of -l**5/60 - l**4/3 + 5*l**3/3 + 3*l**2. Let x be k(-10). Calculate the common denominator of -113/10 and -2 - 10/(-18)*92/x.
90
Let s be 4*(-3 - (-15)/6). Let t = -1689/2 + 45457/54. Find the common denominator of (4 + s)*(-16)/18 and t.
27
Find the common denominator of 7/18 and 12/(-294)*-7 + (-382)/63.
18
Let x(q) = q**3 + 10*q**2 - 23*q + 16. Suppose -238 = 6*n + n. Let d = -46 - n. What is the smallest common multiple of 12 and x(d)?
12
Let q = 120 + 110. Suppose 0 = q*j - 248*j + 792. What is the common denominator of j and -21/221?
221
Calculate the common denominator of (-56)/189 - 4/(-18) and 230/(-161)*2/(-12)*-2.
189
Find the common denominator of (-4958)/5928 - (21/(-12) + 1) and 10/351.
6669
Let q be (((-241638)/(-15160))/3 - 4) + -2. Let z = 14/379 + q. What is the common denominator of z and -65/32?
160
Suppose -71*x - 2*x = -14959 - 11613. What is the least common multiple of 1768 and x?
12376
Let g = -19/92 - -113/46. Let o = 343/4 - 1553/20. Find the common denominator of g and o.
20
Let v = -1049184/437 + -239465937/17917. Let a = v + 15767. Find the common denominator of 7/4 and a.
164
Suppose 9*h - 2*f = 12*h - 1402, 4*f - 32 = 0. What is the smallest common multiple of h and 182?
6006
Suppose 0 = 4*j - 4, 0 = -5*l + 3*l + 2*j + 62. What is the common denominator of (2/l)/(30/(-4040)) and 26/9?
36
Let g = 2 + 0. Suppose -3*u + f - 11123 = 11207, -g*u + 4*f = 14890. Let p = u + 200924/27. Calculate the common denominator of p and -30/11.
297
Let o = 9250645/3036 - 3047. Find the common denominator of 5/12 and o.
3036
Let f = 61614 - 4929011/80. Let y = -37571/520 + 950/13. Find the common denominator of f and y.
80
Let v(b) = -17*b**3 + b**2 - 2*b - 7. Let s be v(5). Let y = 16883/8 + s. What is the common denominator of y and -15/2?
8
Let h(c) = -2*c**2 + 15*c - 20. Let q(i) = i**2 - 16*i + 21. Let d(l) = -5*h(l) - 4*q(l). What is the smallest common multiple of 9 and d(2)?
18
Suppose 5*c - 2*t + 71 = 0, 5*c - 5*t - 25 + 105 = 0. Let u = -12 - c. Calculate the lowest common multiple of u and 34.
34
What is the common denominator of (-1)/20*(-6)/9 and (-4938)/104*(-5)/(-90) + (-2)/13?
120
What is the common denominator of 413/105 + 2/(-6) - (-20)/(-15) and 97/72?
360
Let y(u) = 3107*u - 9319. Let n = 33 - 17. Calculate the smallest common multiple of y(3) and n.
16
Suppose -5*d + 1078 = 2*x - 2*d, -2*d - 8 = 0. Let c = x + -1067/2. Find the common denominator of c and -39/2.
2
Let p be (6/4)/(1/(-2)). Let h = 2424 - 2435. What is the least common multiple of 2/(h/(-3) + 1*p) and 3?
3
Let w = -8563 - -5634465/658. Calculate the common denominator of w and -13/846.
5922
Let m(d) = d**2 - 12*d + 7. Let c be m(11). Let u be (-2 - 9/c) + 345/12. Suppose -37 = -s - u. Calculate the lowest common multiple of 3 and s.
24
Suppose 4*c + 124 = 52. What is the least common multiple of 91 and -2*(-6)/c*66/(-4)?
1001
Let j(r) = -r**2 + r + 138. Let k be j(-20). Find the common denominator of -11/24 and (-6 - -3)*k/(-180)*1.
120
Let n be (-27)/(-3) + -4 - 47. Calculate the lowest common multiple of 12 and (-660)/n - (24/21)/(-4).
48
Let z = 95 + -87. Let h = -10 + z. What is the common denominator of 109/4 - 2*h/16 and 45/22?
22
Let j = 1/2920 + 18977/8760. Calculate the common denominator of 53/3 and j.
6
Let n(z) = 43*z + 14*z + z**3 - 4*z + 35*z**2 + 7*z - 126. Calculate the least common multiple of n(-33) and 90.
360
Let r be (-2 + 38/4)*(-116)/(-87). What is the lowest common multiple of ((-112)/(-20) + -4)*r + -1 and 63?
315
Let m = 4970 - -724. Calculate the smallest common multiple of 30 and m.
28470
Suppose -5*b = 2*r - 13, 3*b - 5*r + 3*r - 11 = 0. What is the lowest common multiple of b*(404/12 + 9) and 64?
128
Let d = -86001/25610 - 64/985. Let b = 156109/30 - 26032/5. Find the common denominator of b and d.
390
What is the common denominator of (-2)/(-4)*(-64)/192*55 and -47/32?
96
Let j = -6930 + 6934. Let d(l) = 4*l**2 - 11*l - 7. Calculate the smallest common multiple of j and d(7).
112
Suppose 4*f + 24 = -0*f. Let n be ((-20)/3)/(-5)*f. Let a(b) = -b - 6. Calculate the lowest common multiple of a(n) and 32.
32
Let j = 288 + -288. Suppose -3*l = 3*f - 9, j = -2*f - 0*l - 4*l + 4. What is the least common multiple of f and 3?
12
Let z be 25/(-15)*(1 + -8 + 4). Suppose z*r = -g + 7, r + 19 = 6*r - 3*g. What is the smallest common multiple of r and 55?
110
Let g be 53657/(-72) + 176/18 + -10. Let q = 745 + g. What is the common denominator of -73/21 and q?
168
Suppose -f = -2*z - 11, -f - z - 1 = -0*z. Let q(o) = 7*o - 5*o**2 - o**f + 1 + 6*o - 7*o + 1. Calculate the smallest common multiple of q(-6) and 6.
6
Let q(w) = -w - 3. Let m be 3*(0 - 28/(-21)). What is the smallest common multiple of q(-5) and (10/m - -2 - 4)*10?
10
Suppose w - 106 = -0*w. Calculate the least common multiple of 350/(-105)*(-7)/(35/3)*2 and w.
212
Let c be (-135)/(-18)*70/3. Let f = c - 174. What is the smallest common multiple of f and 25?
25
Suppose 0 = -5*j - 4*v - 354, -2*j - v - 157 = -13. Calculate the common denominator of 8/15 and -6 + (5 - j/84).
210
Let r(d) = 11*d**2 + 64*d + 81. What is the lowest common multiple of r(-9) and 522?
11484
Find the common denominator of 17/2120 and (481/(-26) - -19)/(20/38).
2120
Suppose 3*h - 5 + 2 = 0. Let b be (12/4)/(3/(-239)). Let w = 252 + b. What is the smallest common multiple of h and w?
13
Suppose -44 + 314 = -9*p. What is the common denominator of p/40 - 57/(-252)*-11 and 80/33?
231
Let u(w) be the first derivative of w**4/4 - 11*w**3/3 - 25*w**2/2 - 9*w - 32. Let z = 9 + -5. Calculate the least common multiple of z and u(13).
4
Suppose -3*s + 5*p = -41, 4*s + p = 4*p + 40. Let o = 30 + s. Let r = o + -27. What is the smallest common multiple of 2 and r?
10
Let n = 2059/7 - 247283/840. Suppose 3*f + 3*q - 82 - 5 = 0, 5*f - 5*q - 135 = 0. Calculate the common denominator of ((-27)/f)/(8/28) and n.
120
Let j(a) = -a**3 + a**2 + 2. Let k be j(3). Let m = 646 + -650. Find the common denominator of (-1)/m + 166/k and 38.
8
Suppose -6 + 18 = 6*b. Let r be ((-64)/(-2904))/(4/(-3) + b). Let n = -3182/1089 + r. Calculate the common denominator of n and -97/10.
90
Calculate the least common multiple of (-1648)/(-2) + 4/(-5)*555/74 and 8.
3272
Suppose 116*m - 196766 = 104022 + 138852. What is the lowest common multiple of m and 10?
3790
Suppose d + 0*d = -4*g - 2, 2*g = 4*d + 26. What is the lowest common multiple of ((-22)/(-8) + -2)/((-5)/(-60)) and 1/(-6) + (-13)/d?
18
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