03. What is the common denominator of (-3 - -1)/(1/((-93)/c)) and -73/36?
36
Let v be (3 - 0) + 0/4. Suppose 22 = v*y + 5*d, -5*d - 51 = -4*y + 25. What is the lowest common multiple of y and 4?
28
Suppose 4*c = -c - 3*y + 353, -c = 4*y - 74. Calculate the least common multiple of c and 5.
70
Let f(w) = -w**3 + 7*w**2 - 6*w - 2. Let x be f(6). Calculate the lowest common multiple of (-3)/(3/(-20)) - x and -4*(2 - 0)/(-2).
44
Let q = -228 - -231. Calculate the least common multiple of q and 33.
33
Let f be (-6)/(-5)*(-1283)/(-3). Let w(l) = -l**2 + 21*l + 87. Let a be w(37). Let p = f + a. What is the common denominator of p and 73/9?
45
Let x = -23 - -26. Suppose x*y + 0*y = 42. What is the lowest common multiple of y and 2?
14
Let y = -13312207/6853756 + 2/131803. Let d = -301/25 + 3186/275. Find the common denominator of d and y.
572
Let o = -2214 + 17689/8. Calculate the common denominator of 27/578 and o.
2312
Suppose 4*h = 3*h + 11. Let l = 245 + -239. Calculate the smallest common multiple of l and h.
66
Let c be 1/(2*4/(-160)). Let a be 1748/c + 3/(-5). What is the common denominator of 16/a + (-2074)/(-396) and -29/4?
36
Suppose 24*n - 20034 = 103734. Let m = -13891895/22 - -626294. Let y = m + n. Calculate the common denominator of y and -119/20.
220
Let n(d) = -d**2 - d - 6. Let j be n(5). Find the common denominator of (-103)/2 - -2 - -2 and (-122)/j - 4 - -3.
18
Suppose 0 = -z - 22 + 24. Let f be 1*(20 - 1) + -1. Suppose -z*w = 3*b - 24, -2*b - 4*w = -b - f. What is the least common multiple of b and 3?
6
Suppose -4*w = 2*k - 16, 12 + 16 = 5*k + 4*w. What is the least common multiple of 92 and k?
92
Let u be ((-12)/(-15))/((-2)/(-10)). Find the common denominator of 1 + 108/(-20) + u and -55/4.
20
Let r = 319839/20 - 15996. What is the common denominator of r and 35/274?
2740
Suppose -4*r = -0*r - 3*v - 34, -v = -4*r + 30. What is the common denominator of (r/(-140))/((-2)/(-74)) and 27/16?
80
What is the least common multiple of 208 and (1/2 + -2)/(37/(-1184))?
624
Let m(l) = l**2 + 22*l + 203. What is the smallest common multiple of m(-25) and 9?
2502
Suppose 0*m + 3*m - 24 = 0. Suppose 3 = -2*o - 3*n + 13, -2*o + m = 2*n. Let b = 10 + o. What is the least common multiple of 10 and b?
60
Let c(w) = -w**3 - 3*w**2 - 2*w - 3. Suppose z = -3*u + 136, z - u + 6*u = 128. Find the common denominator of c(-2) and z/50*(-60)/(-16).
10
Let g = -95/56 + 15/14. Find the common denominator of g and -9/10.
40
Let c(f) = -3*f**3 + 61*f**2 - 24*f + 76. Let o be c(20). Let j be (2 - 1)*-1 - 11. What is the lowest common multiple of (j/(-1))/4 - o and 5?
35
What is the least common multiple of 2 and 549/45 + -11 - 729/(-5)?
294
Calculate the common denominator of (5/75)/((-28)/(-2165)) + -5 and -101/140.
420
Let w = -67 - -71. Let b = -10 - -17. What is the least common multiple of b and w?
28
Let s = -59 - -59. Suppose 4*y + s*y = 232. Calculate the least common multiple of y and 6.
174
What is the least common multiple of (-1 - 0)*(-60)/10 and 21?
42
Calculate the common denominator of -3/50 and 3/(-450)*(-246)/(-8).
200
Let m be (-8)/(0 - 4) - (-108 - -2). Calculate the common denominator of -85/6 and 13/39 - 2/(m/62).
54
Let o = -18 + 16. What is the common denominator of 44/21 and (644/(-8))/(-7) - o?
42
Let a = -1663 + 16617/10. Calculate the common denominator of a and (12/(3024/(-2271)) - 1) + 9.
420
Let w be 20/90 - 505/2151. Let s = w + 10307/2390. Let h = -7009/8 - -874. Find the common denominator of h and s.
40
Suppose -18*w = d - 22*w - 19, w = -5*d + 137. Calculate the lowest common multiple of 7*(-1 - (-57)/21) and d.
108
Let v = -628 - -653. What is the smallest common multiple of 15 and v?
75
What is the lowest common multiple of -6 + 46/7 + 20/14 and 18?
18
Find the common denominator of 79/516 and 3 + (-460)/(-16)*(-6)/(-165).
5676
Let w = -67 - -89. Suppose r - 6 = -r, 0 = -4*u - 3*r + 249. Calculate the smallest common multiple of w and u.
660
Suppose -3*o = -3*m + 702, o + 1186 = 5*m - 0*o. Suppose 0 = -5*w - 2 - m. Find the common denominator of w and 1 + 32/6 + 1.
3
Let r(y) = -y**3 - 14*y**2 + 70*y + 9. Calculate the lowest common multiple of r(-18) and 1.
45
Suppose k + 1235 = 14*k. Let m = 97 - k. What is the smallest common multiple of (-2)/(-8) + (-142)/(-8) and m?
18
Let l = -749/9 + -3169/117. Let r = -10558/91 - l. What is the common denominator of r and -30/7?
7
Let h(j) = j - 15. Let d be h(12). Let n be -2 + 1396/(-2076)*d. Let r = n + 1897/346. Calculate the common denominator of r and 17/18.
18
Let t = 17176/3 + -5737. Find the common denominator of 238/48 + 1 - 0 and t.
24
Let s(d) = 2*d**2 + 17*d + 35. Calculate the least common multiple of s(-10) and 273.
1365
Let t be 1231/1044 - 6/(-8). Let n = 4/261 + t. Calculate the common denominator of -157/30 and n.
90
Suppose 0 = q - v + 1, 4*v = 13 + 7. Calculate the least common multiple of 321/12 + q/16 and 7.
189
Let v = 506/5 + -3013/30. What is the common denominator of v and 73/80?
240
Let d = 2978 + -56561/19. Calculate the common denominator of 83/2 and d.
38
Calculate the lowest common multiple of (-336)/(-8) + (-48)/4 and 65.
390
Let f(m) = -2*m + 38. Let n be f(17). Let u = -2699/212 + -54/53. What is the common denominator of n - 12*8/(-27) and u?
36
Let d = -135 - -1341/10. Let n be 1/(-2) + 163289/1190. Let i = -693/5 + n. Calculate the common denominator of i and d.
170
Suppose 0 = -2*s - 3*f + f - 16, -2*s + 5*f = -12. Calculate the least common multiple of -172*(2/s)/((-9)/(-9)) and 14.
602
Let r be 1/(-1) - -2 - 1. Suppose 5*f - 2*l = l + 29, r = -3*f + 5*l + 11. What is the lowest common multiple of 10 and f?
70
Suppose -10*z - 1392 = -22*z. Calculate the least common multiple of z and 8.
232
Suppose -5*w + 8*w - 4*u = 22, -4*w = -2*u - 26. Calculate the smallest common multiple of w and 35.
210
Let v = -35 + 108. Let g = v + -33. What is the smallest common multiple of g and 4?
40
Let n be (6/(-80))/((60/205)/(-4)). Let s = n - -1473/280. What is the common denominator of s and 42/25?
175
Let i be -1*26/(-1) - 4/2. Let j = 1 - -2. Suppose 4*m - 4*q - i = 0, -2*q = -m + j*q + 22. What is the least common multiple of 1 and m?
2
Suppose 4*g + 3*f = 36, -8*g + 10*g + 5*f = 4. What is the smallest common multiple of g and 38?
228
Suppose -q + 6*n - 7*n + 116 = 0, 0 = 5*q - 5*n - 630. Calculate the least common multiple of 11 and q.
121
What is the lowest common multiple of 4 and (-77)/(-11) + (-4 - -5 - 3)?
20
Suppose 5*t + 4*w - 187 = 4*t, 5*t + w - 973 = 0. What is the common denominator of (1/10)/(18/t) and (5*18/2700)/(3/535)?
36
Suppose -5*n - 19 = -4*z, z - 3*n - 7 = -n. Find the common denominator of (12*(0 + z))/(-5) and 3 - ((-94)/(-5))/(-2).
5
What is the lowest common multiple of 72 and (96/30)/(4/150)?
360
Find the common denominator of (-7 + (-88)/(-12))/((-4)/(-39)) and 77/8.
8
Let o be (-3)/(-1) - (-28)/(-4). Let f be (12 - 2)*o/(-8). Suppose 43 - 8 = f*v. Calculate the smallest common multiple of v and 6.
42
Let w be (320/(-75))/((-4)/(-10))*3. Let p(l) = -10*l. Let s be p(2). Let v = s - w. Calculate the least common multiple of v and 18.
36
Suppose 3*p - 40 = -p. What is the least common multiple of 16 and (-9)/45 - (-202)/p?
80
Suppose 6*w = 4*w + 4. Suppose -w*j + 6 = -34. Suppose -2*t - 150 = -7*t. Calculate the lowest common multiple of t and j.
60
Let a(f) = 6*f + 8. What is the smallest common multiple of ((-66)/(-77))/(((-18)/(-63))/2) and a(6)?
132
Let y(t) = -t**3 + 5*t**2 + 4*t + 1. Let g = -9 - -15. Let d be y(g). What is the least common multiple of 18 and d*(-2)/4*4?
198
Find the common denominator of 22/(-9)*16/864*3 and -7/27.
81
Let z = 3530/1953 + -58/31. What is the common denominator of 59/203 and z?
1827
Let m be ((-1)/(-4)*0)/1. Let j(w) = -2*w - 2. Let h be j(m). Find the common denominator of 127/6 and 69/2 - -2 - h.
6
Suppose 0 = -r, 3*r = q - 7 - 9. What is the lowest common multiple of 14 - (28 + -36 + 2) and q?
80
Calculate the least common multiple of 150 and (-11)/22 + 22/4.
150
Suppose 3*a = n + 177, 14*a - 10*a = -3*n + 249. Calculate the smallest common multiple of a and 44.
660
Let p(t) = -t**3 + 17*t**2 - 13*t - 44. Let w = -2 - -10. Calculate the lowest common multiple of p(16) and w.
8
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