
30
Suppose 3*t - 26 = 8*j - 9*j, 0 = 3*j + 3*t - 42. Let o(b) = 4*b**2 - 21*b + 9. Calculate the smallest common multiple of j and o(5).
8
Let w = -2258 - -2809. What is the least common multiple of 95 and w?
2755
Let g = 341/26 - 378/65. What is the common denominator of 117/760 and g?
760
Let d = -31532 - -31559. Calculate the smallest common multiple of d and 933.
8397
Let h = 115 + -85. Suppose 0 = -2*f + 56 - h. Calculate the smallest common multiple of f and 6.
78
Let v = -24445 + 24541. What is the least common multiple of 2640 and v?
5280
Let h = 33399 + -32376. What is the least common multiple of h and 198?
6138
Let i(s) = -s**3 + 9*s**2 + 8*s + 15. Let l be i(10). Let b be (185 - l)/(-5)*-2. Find the common denominator of 13/17 and (-57)/b - (-1 + 398/8).
34
Let b(c) = -3*c**2 + 422*c - 1098. Let a = 11 + -6. Suppose 5*f - h - 4*h = 185, -f = -a*h - 53. What is the lowest common multiple of f and b(138)?
66
Let x(p) = -102*p - 4436. What is the smallest common multiple of 164 and x(-44)?
2132
Suppose -4 = -2*r - 2*g, -4*r = 2*g - 11 - 7. Let m(z) = -z**3 + 8*z**2 - 6*z + 20. Calculate the lowest common multiple of m(6) and r.
56
Let b = 23 + -11. Let j = 206 + -103. Let i = 118 - j. Calculate the lowest common multiple of b and i.
60
What is the common denominator of (-4585)/9400 - 90/(-240) and 101/10?
470
Let k(r) = -3*r**3 + 6*r**2 + 5*r + 8. Let l be k(-5). What is the common denominator of (-10)/40*l/6 and -2 - (1 + (-43)/(-8))?
24
Let u = -4 + 6. Suppose -2*v - k + 1 = u*k, 0 = 2*v - 4*k + 6. Find the common denominator of 38/17 and -3 - (145/(-50) - (2 + v)).
170
Let r(t) = 10*t + 90. Suppose -g - 14 + 36 = 0. What is the least common multiple of r(-8) and g?
110
Let v = 515 + -662. Let y = v + 162. Calculate the lowest common multiple of 35 and y.
105
Let h(z) = 9*z - 8. Let s be h(0). Calculate the common denominator of -21/226 and 2/s*(8 - 110).
226
Suppose -78*g + 80*g = -3*l + 631, 2*g = -4*l + 636. Calculate the least common multiple of 63 and g.
2772
Let t be (-63)/42*(-8)/6. Calculate the common denominator of 140/384 - t/6 and 65/36.
288
Let f = 2562/11 - 230. Let m(n) = 2*n**2 - 14*n - 18. Let t be m(8). What is the common denominator of f and (-328)/28 + 6 - (2 + t)?
77
Let x = -1493/44 + 129/4. Let f be (-6)/(-14) + (-31)/7*1. What is the common denominator of x and f + (-50)/(-12) + 19?
66
Let g = -5197 - -5278. Calculate the least common multiple of 1242 and g.
3726
Let s(c) = 95*c - 2. Let k be s(-4). Let n = -425 - k. Calculate the common denominator of -77/15 and n.
15
Let n(y) = -42*y + 4. Let c be n(0). Suppose -276 = -c*r + 3*h, -5*r + 2*h + 3*h = -340. Calculate the smallest common multiple of 16 and r.
144
Let p = -25678 - -126104659/4911. Let l = 417431/19644 + p. Find the common denominator of 900/120*4/(-14)*(-21)/24 and l.
8
Let n(w) = -2506*w**3 - 2*w**2 + 4. Let s be n(2). Let k = -1403571/70 - s. What is the common denominator of k and 6/(-5)*(-1015)/112?
280
Let k = 2602 + -2128. Calculate the lowest common multiple of 2607 and k.
5214
Suppose -1415 = 32*q - 2183. What is the smallest common multiple of 2925 and q?
23400
Let p = -4387 - -4420. What is the smallest common multiple of p and 345?
3795
Suppose 0 = 22*a - 26*a - 4*u + 404, a - 111 = -3*u. Calculate the least common multiple of 120 and a.
480
Let n = -59 + 62. Let d be 1*-2*(4 - (n - 2)). Find the common denominator of 31/32 and (49/d)/((-17)/3 + 5).
32
Calculate the common denominator of 20/729 and 58/232 - 766/1944.
729
Suppose -2*d + 951 = 2*b - 2271, -6486 = -4*d + 3*b. Calculate the lowest common multiple of 154 and d.
3234
Let v be (-41213)/(-877) - 5/(-10). Let l = v - -6/877. What is the common denominator of (-18)/105*-1*(-609)/12 and l?
10
Find the common denominator of (-30)/165 - (-4501)/2310 and -13/1775.
10650
Let w = 4173 - 7058. Let i be ((-207534)/21)/((-170)/70 - 1). Let j = i + w. Find the common denominator of j and -101/24.
24
Suppose -x + 2*x = 0. Let o = 1 + x. Suppose -100*r + 778 - 178 = 0. What is the smallest common multiple of r and o?
6
Let b be -1*2 - (3 + 1). Calculate the common denominator of (b/(-4) - 1)*77 and (46/(-1656))/(20/(-2200)).
18
Let m be ((-30)/(-25))/((-4)/12700). Let x be 0 + -3 + 213185/56. Let y = x + m. What is the common denominator of y and 13/2?
8
Let k be 3/2*8/4*4. Suppose -560*z + 562*z = k. Let r = 43 + -31. Calculate the lowest common multiple of r and z.
12
What is the common denominator of 15/7541 and ((-77)/(-56))/(1/(-18))?
30164
Let l = -182 - -212. Suppose -5 = -5*y + l. What is the smallest common multiple of y and 3?
21
Let d be 10480575/4994685 - (2 + 0). Let g = 2/6529 - d. What is the common denominator of 59/30 and g?
510
Suppose 29*p - 13233 = -23*p - 2625. Calculate the lowest common multiple of 324 and p.
5508
Let p(v) = -572*v + 1255. What is the smallest common multiple of p(2) and 7659?
7659
Find the common denominator of (((-8001)/180)/(-7))/(12/10) and -53/180.
360
Let k = 6548 - 5628. Calculate the smallest common multiple of k and 460.
920
Let w(v) = -2*v**2 + 44*v - 6. Let c be w(20). Suppose 0 = -c*y + 79*y - 75. What is the lowest common multiple of 9 and y?
45
Suppose -5*s = -6*s + 11. Let f(j) = j**3 + 4*j**2 + 2. Let x be f(-3). Suppose -x = -w + 2*p, 14 = -5*p - 11. What is the least common multiple of s and w?
11
Let v = 209225/13 + -16091. Find the common denominator of v and ((-1)/(-13))/(2/(-12)).
13
Calculate the common denominator of 115/432 and 10/(-2448)*13224/(-3420).
7344
Let t(f) = 4*f**2 + 21*f + 38. Let m be t(-2). Suppose 24 = 18*i - m. Calculate the smallest common multiple of i and 64.
64
What is the lowest common multiple of 3024 and (1 - (-8 + 4 - -7))*(1 - 9)?
3024
Suppose 0 = -6*p - 7 - 59. Calculate the common denominator of (p/(-44))/((316/142)/(-2)) and -99/10.
1580
Let a = -922587 - -1638514555/1776. What is the common denominator of a and 121/480?
17760
Let d(l) = -l + 11. Let m be d(6). Suppose -4*o + 7 = -m. Let v = 82 + -80. Calculate the least common multiple of o and v.
6
Suppose -7716*w + 820 = -7712*w. Calculate the lowest common multiple of w and 8.
1640
Let l = 512/130403 + -25806632513/2347254. Suppose 32933 = 3*k + 5*h, -k + 8999 = -h - 1992. Let q = l + k. What is the common denominator of q and -20/33?
198
Calculate the lowest common multiple of 56 and (-42 + 25)/(2/(-32)*2).
952
Find the common denominator of 35/2756 and (16/(-72) + 11/36)*(-5810)/57187.
8268
Let c = -5168 + 51631/10. Let w = -48520968 - -970690163/20. Let f = -13536 + w. What is the common denominator of f and c?
20
Let m = -3 - -15. Calculate the common denominator of ((-118)/m)/((-8)/6) and 22/6*561/(-170).
40
Let f = -1536 + 1707. What is the least common multiple of f and 342?
342
Let w = -238187 + 79922. Let u = 166494761/1052 + w. What is the common denominator of 77/10 and u?
5260
Suppose -3*o = -3*s - 984, -8*o = 15*s - 10*s - 2728. Calculate the smallest common multiple of 279 and o.
31248
Let q(i) = i**2 - 25*i - 1226. Calculate the smallest common multiple of q(71) and 255.
2040
Let x(l) = 16*l + 100. Let a be -2 + -1 + -5 + (2 - 0). Let u = -94 + 134. What is the lowest common multiple of u and x(a)?
40
Suppose j - 4*m = -6, 0 = 5*j + m - 3*m + 30. Suppose -2*w + 272 = -0*f + 5*f, -2*f = 8. What is the smallest common multiple of (j/(-7))/(12/56) and w?
292
Let y be ((-41)/8)/((-18)/27704). Let p = -7896 + y. Calculate the common denominator of (-522)/27*18/16 and p.
36
Let i = 60 + 5. Suppose -63*u - 136 = -i*u. Let o(c) = -2*c**2 - 47*c + 36. What is the lowest common multiple of u and o(-24)?
204
Let l = 1307349/8 + -163413. Let c = -1040 - -8287/8. What is the common denominator of l and c?
8
Find the common denominator of (2/(-6) + 16/30)*48472/(-1168) and 5/1254.
6270
Suppose -87*s + 90*s = 3. Find the common denominator of -4 - -4 - (s - 3/4) and -123/250.
500
Let p(b) be the third derivative of b**4/24 + 17*b**3/3 - 89*b**2. Calculate the least common multiple of -1 + 0 + 2 + 50 and p(-16).
306
Suppose -15*r = 2*r - 153. Suppose 0 = -r*b + 14*b - 135. Calculate the least common multiple of b and 10.
270
Let q be 4/(-18) - (-1528560)/(-324). Let i = q - -174612/37. Calculate the common denominator of -21/4 and i.
148
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