8
Let o(v) = v**3 - 13*v**2 - 19*v - 6. Let x be o(14). Calculate the common denominator of ((-214)/30)/(x/(-95)) and (-2)/2 - (-133)/(-6).
12
Suppose -4*s + 13 = f, -5*f = 2*s - 0 - 29. Find the common denominator of 0 + (s - 0) + (-278)/(-12) and 121/18.
18
Let v = 19/951 - 67139/76080. Calculate the common denominator of v and 137/240.
240
Suppose -5*x + 15 = -o, 5*x + 0*o + 5 = -3*o. Suppose -x*d + 5*d - 45 = 0. What is the lowest common multiple of d and ((-7)/(-105)*66)/((44/(-30))/(-11))?
165
Suppose -5*f + 224 + 81 = 0. What is the lowest common multiple of -2 + (-322)/(-77) - (-96)/(-528) and f?
122
Let w = 2479 - 17348/7. What is the common denominator of 2/3 - 1 - (-4981)/102 and w?
14
Let g = 468 - 460. Let w(h) be the second derivative of -h**3/3 - h**2 - 2*h. Calculate the least common multiple of w(-4) and g.
24
Find the common denominator of -11/172 and (6 + 1164/(-45))*20/(-48).
1548
Let q(v) = 15*v - 5*v - v - 3*v - 64. What is the smallest common multiple of 15 and q(19)?
150
Let w(b) = 5*b**2 - 5*b. Let u be w(2). Let j(m) = -1119*m**2 + 3*m + 2. Let r be j(-1). Calculate the common denominator of 26/u*(-5 - r/216) and -64/3.
27
Let r(i) = -4*i - 4. Suppose 0 = 2*u + 10, -2*u = -t + 3*u + 53. Suppose -8*m = -12*m - t. What is the least common multiple of r(m) and 12?
24
Suppose 5*a + 1 = 6*a. Let j be 3153/1224 + a/(-3). Let y = j - -66/17. Find the common denominator of 40/7 and y.
56
Let w(y) = y**3 + 4*y**2 - 3*y + 2. Suppose 480 = -4*z + 1896. Let g = z + -345. What is the smallest common multiple of w(-3) and g?
180
Let c = 889783279/1198 + -742724. What is the common denominator of c and 11/6?
3594
Let i = -1469075/102 + 287190/17. Let m = -2502 + i. Find the common denominator of m and 58/5 + (-2)/5.
30
Let l = -102 - -2044. Find the common denominator of 47/14 and l/(-1020) - -2 - (-26)/(-65).
714
Suppose 337 = -y + 2*b, 6*y - 3*y + 5*b + 956 = 0. Let t = -307 - y. Calculate the smallest common multiple of 55 and t.
220
Let k = -320 - -350. What is the lowest common multiple of k and 15*((-12)/10 + 2)?
60
Let o = -22945/414 - -1414/23. Calculate the common denominator of (-537)/(-24) + 28/(-32) + 1 and o.
18
Let d = -159051/4738448 + -2/22781. What is the common denominator of -85/32 and d?
416
Let o(f) = f + 21. Suppose 4 = -3*j + 5*n - 9, -5*n - 64 = 4*j. Suppose 2*v + 3 = k, k + v - 133 = -127. What is the least common multiple of o(j) and k?
10
Suppose -2*s - 88 = -8. Let c = 38 + s. Calculate the common denominator of 9/11 and 102/c*(-14)/(-525).
275
Calculate the lowest common multiple of 2430 and ((-126)/(30/(-5)))/(-3) + 502.
26730
What is the lowest common multiple of (-1893912)/(-517) - (-3)/(-11) and 666?
7326
Suppose -3*j + 64 = -4*h, j - 32 = -3*h + 5*h. Let l be 4/h*-12 - 10/(-2). What is the least common multiple of 11 and (31/(-4))/((-2)/l)?
341
Let a = -9603 + 10753. Calculate the least common multiple of 18 and a.
10350
Suppose 714*z + 252 = 708*z. What is the smallest common multiple of 15 and 1/(-6) + (-637)/z?
15
Find the common denominator of 11/(-4554)*(-854)/21 and 19/368.
9936
Let v be 504/420*(-30)/(-4). Find the common denominator of (-20)/(-48) + -4 + v and 43/18.
36
Let x be (3 + 158/(-54))/(1411/408). Let j = -1145/498 + x. Let z = 223 + -1781/8. Find the common denominator of z and j.
72
Suppose 56018 = 5*x + 13148. Let f be (-1028725)/120 + -3 - 2/(12/(-18)). Let h = f + x. Find the common denominator of 35/36 and h.
72
Let g = -280 + 288. Suppose 0 = -3*q + g*q + 5, 5*o + 2*q - 793 = 0. What is the lowest common multiple of 9 and o?
477
Let a(q) = q**3 - 4*q**2 - 9*q - 12. Let d be a(6). Let r(l) = 2*l + 59. Let b be r(-24). Find the common denominator of -109/54 and ((-3)/(-11) + 0)*(b - d).
594
Suppose 1865 = 5*p + 455. Let d = p + -262. What is the lowest common multiple of d and 32?
160
Suppose 7*a - 10*a = -4*q - 35, 0 = -4*q - 3*a - 29. Calculate the least common multiple of 1 + q + 0 + 76 and 9.
207
Let x = 756 + -731. Calculate the common denominator of x/15*-3 - (-1230)/294 and 76/105.
735
Let c = -35107/18 + 1951. Let t(s) = -8757*s + 3. Let g be t(-1). Let l = g - 140245/16. Find the common denominator of l and c.
144
Suppose -5*f - 26*f = -63*f + 15360. Calculate the lowest common multiple of 120 and f.
480
Let o be 7/(-2)*2*892. Let g = 149831/24 + o. Find the common denominator of g and 1/(-27)*(-618)/4.
72
Let y = -1154 - -3482/3. Calculate the common denominator of -41/222 and y.
222
Suppose -4 = -s + 5*n + 16, -5*s = -5*n - 40. Find the common denominator of ((-1002)/(-55))/3 - 30/s and 89/50.
550
Let d = 30 - -38. Suppose 145*s - 145 = 224*s - 619. Calculate the least common multiple of s and d.
204
Suppose 531 + 45 = 4*r. Calculate the common denominator of -31/8 and ((-27)/r)/(1/12).
8
Let p = -941/11 + 768819/8987. Let u = 40017/6536 + p. What is the common denominator of u and -19/12?
24
Suppose 2*n - 88 = -2*d, -2*n + 5 = -n. Let f = 39 - d. Suppose -4*w = -f*w, -4*x - 4*w + 188 = 0. Calculate the lowest common multiple of x and 3.
141
Calculate the least common multiple of 18 and 4/(-18) + 22220/198.
1008
Let n = 21214559/138 - 153728. Find the common denominator of n and -127/114.
2622
Let m(h) = -164*h - 10. Let t be m(-1). Suppose 7*k - t = -0*k. What is the smallest common multiple of 7 and k?
154
Let i = 45370598 + -1633190519/36. Let c = i - 4195. Calculate the common denominator of 9/(-264)*(-382)/3 - 2 and c.
396
Suppose 3*m + 3*d = 54, 98*d + 37 = 2*m + 101*d. Suppose -m*v + 4*v = -39. What is the lowest common multiple of v and -3*5/(-6)*4?
30
Suppose -44 - 28 = -2*g. Suppose a - g = -6*t + t, -a = -2*t - 8. What is the lowest common multiple of a and 8?
16
Let a(d) = -d**3 - 13*d**2 + 3*d - 14. Calculate the smallest common multiple of a(-14) and 28.
140
Let t = -10694 + 10702. What is the lowest common multiple of 1079 and t?
8632
Find the common denominator of ((-18)/(-4))/((-39618)/1023) and 21/568.
568
Let o = -12921024139/5436 - -2376936. Calculate the common denominator of -3/16 and o.
21744
Calculate the common denominator of -97/8295 and (-19100)/4011*(1 + -3)/4.
8295
Let y = -21 - -57. Let g = -871 - -615. Let m = g - -259. What is the lowest common multiple of y and m?
36
Let n = -2186 + 371607/170. What is the common denominator of n and (-8*(-43)/(-9632))/((-4)/1414)?
680
Let y(z) = 12*z - 6*z**2 - 12*z**2 - 18 + 21*z**2 - 25 - 2*z**2. What is the lowest common multiple of 108 and y(5)?
756
Let k = -22551 + 22560. Calculate the smallest common multiple of k and 1/(-1) - (0 - 28).
27
Let f be 159/(-424) + (-1)/((-8)/(-45)). Calculate the common denominator of 89/15 and 237/(-45) + (20/f)/5.
15
Let h = 1/1801046 - -56082771379/27015690. Let i = h - 2079. Find the common denominator of i and (-5)/6*131/10.
60
Let n = -505478/5 + 101098. Let p = -2 - -2. Calculate the common denominator of 118/(-20) + -1 + p and n.
10
Let p = 1/2925 - -37877/432900. Calculate the common denominator of -79/72 and p.
2664
Let w = 30 - 7. Let j = 28 - w. Calculate the least common multiple of 20/(-50) + 22/j and 2.
4
Suppose 0 = -52*y + 55*y - 9. Calculate the lowest common multiple of (-2)/(228/(-126) - -2)*-6 and y.
63
Let i be 10 - 565/2 - (-2)/(-4). Calculate the common denominator of i/(-252)*(-40)/6 and -37/54.
54
Suppose 4 = -4*z + r - 5*r, -5 = 4*z + 5*r. Suppose z*m - 36 = -4*m. Suppose -m = -2*l + l. What is the lowest common multiple of l and 24?
72
Let u(g) = 4*g**2 + 5*g + 10. Let v be u(5). Suppose -v*o = -133*o - 20. What is the common denominator of (-2)/o + 224/(-30) and -103/18?
18
Let j(k) = -5*k - 20. Let p(h) = -h + 1. Let x(m) = -j(m) + 4*p(m). Let r be x(-16). Suppose 0 = -r*l - 80 - 0. What is the common denominator of -56/11 and l?
11
Let r = -181011/10 + 18101. Let b = 2 + 5. Find the common denominator of r and 15/6*17/b.
70
Let r(k) = 11*k**2 - 57*k + 20. Suppose 4*u - 7*f + 8*f = 62, 5*u = -4*f + 72. Calculate the least common multiple of r(17) and u.
17840
Suppose -7 = 3*r + 14. Let o = r - -17. Suppose 0 = 2*j + p + 532 - 537, -2*j + 3*p = -9. What is the lowest common multiple of o and j?
30
Let t = 4343 + -52157/12. Let k be 2/(4488/(-10887)) - 23/(-92). Let s = 172/187 + k. What is the common denominator of s and t?
132
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