36)*(-225)/425 and 57/16.
272
Let s = -4036973/16 - -253493. Let d = 1187 - s. What is the common denominator of -89/6 and d?
48
Let v = -416/5 + 757/10. Let h be (1 - -11)*(4 + -5). What is the common denominator of v and (1/h)/((-6)/524)?
18
Let h = -3/1601 + -164837/35222. Find the common denominator of ((-26)/6)/((-12)/(-30)) and h.
66
Let j(v) = 2*v**3 + v**2 + v - 2. Let n(u) = 2*u + 11. Let c be n(-5). Suppose -a = -13 + 2. What is the least common multiple of j(c) and a?
22
Let q(w) = -w**3 - 2*w**2 + w - 37. Let p be q(0). Let i = p + 39. What is the least common multiple of i and 10?
10
Let g = -5 - -6. Suppose -4*z = -5*w - 2*z + 18, -5*w + 3*z = -22. Calculate the least common multiple of g/3 - (-106)/6 and w.
18
Let w(p) = -1 - 149*p**3 - 343*p**3 - 2251*p**3. Let y be w(-1). Let i = -32831/12 + y. Find the common denominator of i and -37/14.
84
Let y = 3198861/2644238 + -3/42649. What is the common denominator of y and -75/14?
434
Suppose -5*y - 1728 - 407 = 0. Let c be 15/(-4)*1256/(-12). Let v = c + y. What is the common denominator of 31/10 and v?
10
Suppose -3*x + 197 = 2. What is the lowest common multiple of x and 30?
390
Let t be -4 - (0 + 24/4). What is the common denominator of t/15 + (-17)/(-15) and 34/3?
15
Suppose 0 = -5*k + g + 183, 3*g - g - 4 = 0. Suppose -2*s + k = 5. What is the least common multiple of 18 and s?
144
Calculate the common denominator of (-10428)/5984*(-6)/261 and -3/8.
3944
Let o = -85271/1758 - -4/879. Let h = 17/49 + -4471/882. Calculate the common denominator of h and o.
18
Find the common denominator of (-3 - 2) + 10/(20/39) and 3/2*(-98)/12.
4
Suppose -5*g = -2*r - 11, r = -0*g - g + 12. Suppose 18*z + 33*z - 51 = 0. What is the lowest common multiple of z and r?
7
Let r(o) = o**3 + 4*o**2 - 1. Let i be r(-3). What is the common denominator of ((-1)/12)/((-6)/16) and ((-28)/i + 3)*(-1 - 0)?
18
Let r be 26/138 - 1/3. Let h be ((-6)/(-621))/(16/(-19218)). Let m = h + r. What is the common denominator of m and -67/8?
8
What is the common denominator of (3/88)/((-5)/(-270)) and -54/5?
220
Let s = 507761/4379948 + -2/26707. What is the common denominator of s and 83/20?
820
Suppose 2*p - 10 = -2*c, -5*c - 6 = -3*c. What is the least common multiple of p and 40?
40
Let y be (-4)/14 + 7/((-147)/(-132)). Let q(i) = i**2 + 11*i - 1. Let o be q(-11). Calculate the common denominator of 255/y - 1*o and 45/7.
14
Suppose 5*p + 3*p - 96 = 0. Calculate the smallest common multiple of p and 24.
24
Suppose -4*f - 61686 = -22*f. What is the smallest common multiple of f and 9?
30843
Suppose 0 = -5*v + 146 + 64. Calculate the least common multiple of 77 and v.
462
Suppose 0*m = -5*k - 4*m - 105, 4*k + 3*m + 83 = 0. Let z(g) = g**2 - 5*g - 7. Let q be z(5). Let y = q - k. Calculate the lowest common multiple of 3 and y.
30
Suppose 8 = -4*y - 136. Let f = -7235/3 - -2432. What is the common denominator of f and (7 - 0)*-3*(-30)/y?
6
Let v = -56/33 - 1424/561. Let c = v + -379/51. What is the common denominator of c and 2/(-10)*5340/24?
6
Let t be (142/(-4))/((-2)/4). Suppose -t = r + 890. Let y = -3881/4 - r. Calculate the common denominator of y and -34.
4
Let f = -2 - -35. Suppose -5*k + f = -2. Calculate the lowest common multiple of 9 and k.
63
Calculate the common denominator of -47/120 and 7/((39/8)/(-13)).
120
Suppose -101 + 7 = -3*i - p, 3*i - 102 = 3*p. What is the least common multiple of i and 112?
224
Let b(o) = -o**3 - 46*o**2 - 41*o + 189. Calculate the lowest common multiple of 5 and b(-45).
45
Let z be -27*(36 - 12/(-3)). Find the common denominator of 1002/z + (-2)/9 and 35/16.
80
Calculate the lowest common multiple of 6603/124 + (-6)/(-8) and 51.
918
Let p be 57/(-12) - -4 - 1763. Let w = p + 1776. Calculate the common denominator of w and -23/4.
4
Let c(i) = -13*i - 139. Let t(o) = -o**3 + 5*o**2 - 5*o + 3. What is the least common multiple of c(-11) and t(3)?
12
Let p = 11/60 - 1/4. What is the common denominator of p and 19?
15
Let m(b) be the first derivative of -b**2/2 + 3*b + 1. Let o be (20/(-8))/((-4)/(-8)). What is the least common multiple of m(o) and 4?
8
Let z = -35648 + 1283435/36. Let k be (-7013)/30 - (0 + (-2)/(-5)). Let g = -231 - k. Find the common denominator of z and g.
36
What is the common denominator of (-1192)/6*(-3)/(-168) and -85/18?
126
Suppose -14*u + 60 = u. Find the common denominator of ((-6)/8)/(((-24)/(-94))/u) and 53/12.
12
Let d = -31801/598 - -1155/23. Find the common denominator of 81/14 and d.
182
Let f = 177 + -176. Calculate the smallest common multiple of 9 and f.
9
What is the common denominator of (-11)/120 - (-2 + (-26)/(-12)) and -151/240?
240
Suppose 0*j = -5*j + 95. Let g = 20 + j. Suppose 5*a = -y - 12, -4*y + 2*a + g = -1. Calculate the lowest common multiple of 8 and y.
8
Let h be (-3)/(-9) - 3979/3. Find the common denominator of 81/(-28) + 60/420 and h/63 + (-2)/7.
12
Let k be (-57)/(-21) + (-10)/(-35). Suppose 2 = k*s - 4. What is the lowest common multiple of s and 72?
72
Let u(f) be the first derivative of -f**4/4 + 8*f**3/3 + 7*f + 7. Calculate the smallest common multiple of 7 and u(8).
7
Suppose -5*a + 2*a + 137 = -5*i, 0 = 4*a - 4*i - 180. Calculate the smallest common multiple of a and 2.
44
Calculate the common denominator of 32/105 and (-5)/35 + (-206)/126.
315
Calculate the common denominator of ((-10)/7)/((-96)/70) and 228/27*57/418.
264
Suppose -2*o - 5*n = 4, -o - 3*o + 4*n - 64 = 0. What is the common denominator of (-1 + (-142)/o)/(-1) and 4/90*(186 - -44) + -8?
18
What is the common denominator of ((-2119)/(-468) + -4)/((-3)/(-42)) and -19/278?
2502
Let x = 12337715/50624 + 11/7232. Let w = 6131/28 - x. Calculate the common denominator of w and -103/18.
36
Let i = 39 + -35. Let l = i + 5. What is the lowest common multiple of 10 and l?
90
Let r(k) be the third derivative of -k**5/60 - 6*k**3 - 36*k**2 + 1. Let o(g) = -g - 2. Let a be o(-2). Find the common denominator of r(a) and -6.
1
Find the common denominator of (-1731)/630 - (-26)/(-91) and 109/36.
180
Suppose -5*z + 10 = -n, 32 = 3*z + z + 4*n. Suppose -z*i - a = -6 - 39, -5*i = -2*a - 64. Calculate the least common multiple of (-200)/(-9) - 8/36 and i.
154
Let y = -1094/2387 + 13/31. Find the common denominator of y and -11/56.
616
Suppose -13 = 4*z + b - 44, 3*z = -5*b + 2. What is the smallest common multiple of z and 1?
9
Find the common denominator of -23/12 and (-44)/55 + 268/(-15).
12
What is the common denominator of 5 + (2007/(-378) - 2) and -13/42?
42
Let n be 3 - (25692/(-969) - 2). Let a = n + -1953/17. Let i = 14135/152 + a. Find the common denominator of i and -89/2.
8
Let w = -2 - -7. Suppose s - 1 = -2*r, w*s - 24 = s + 2*r. Suppose 0 = 2*o - 3*c - c - 8, 0 = s*o - 5*c - 25. What is the lowest common multiple of o and 22?
66
Let c = -778 + 798. What is the lowest common multiple of c and 64?
320
Suppose -7*n + 240 = -4*n. Calculate the smallest common multiple of 40 and n.
80
Calculate the lowest common multiple of 143 and ((-12339)/21)/(-9) + 8/(-28).
715
Suppose 0 = -3*b - b + 4*z + 224, 0 = 3*b + 3*z - 168. What is the least common multiple of 21 and b?
168
Suppose o + 0*h = 4*h - 80, -3*h - 6 = 0. Let m be -1*-5*(-2 + 1). Calculate the lowest common multiple of o/(-20)*m/(-1) and 10.
110
Let t be (-83787)/12 - 2 - 10/(-40). Let v = 712309/102 + t. Find the common denominator of v and 85/12.
204
Let z(h) = -3*h + 44. Let k be z(10). What is the lowest common multiple of (54/(-21))/((-1)/k) and 16?
144
Find the common denominator of 10/(-6)*(-620)/1950 and 109/10.
1170
Suppose -2*k - 4*l + 22 = -0, l = -3*k + 23. What is the smallest common multiple of k and 6?
42
Let w = -4940 - -2888. Let n = 12361/6 + w. Find the common denominator of n and 41/26.
78
Let b = -675 + 678. What is the smallest common multiple of b and 495?
495
Suppose -h = 3*h + 5*r - 17, -2*h + 5*r + 31 = 0. Calculate the smallest common multiple of 16 and h.
16
Let y(g) = g**3 + 6*g**2 + 4*g - 1. Let r = 5 + -9. Let h be y(r). Suppose h = -3*w - 2*w, 2*p - 1 = -w. What is the smallest common multiple of 20 and p?
20
Let x be (118/(-8))/((-14)/(-56)). Find the common denominator of x/7 - (-4)/14 and 95/6.
42
What is the smallest common multiple of 16 and 30/(-55) + 3416/11?
2480
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