ominator of 2 - t - (-141)/24 and -15/8.
8
Let b = 4213 - 1478756/351. What is the common denominator of -79/234 and b?
702
Suppose 4*f - 2*f - 78 = 4*y, 5*f = -4*y - 85. Let i(d) = d**3 + 16*d**2 - 81*d + 24. Calculate the smallest common multiple of 12 and i(y).
132
Suppose 399*o = 400*o - 24. What is the least common multiple of 105 and o?
840
Suppose -21867 = -3*j + 2*m + 20566, 0 = 4*m + 8. Let k be -6 + -6 + 708315/50. Let g = k - j. What is the common denominator of 20/3 and g?
30
Let x = 8859 - 70925/8. Find the common denominator of x and 63/7772.
15544
Let c be ((-3344)/11742)/((-20)/(-6)). Let s = c - -41301/7210. What is the common denominator of -8/49 and s?
98
Suppose -3*w + 4*f + 65 = -83, 3*w - 173 = -f. Suppose 0 = -5*h - 25, -4*h + 44 = -4*m + 8*m. What is the lowest common multiple of w and m?
112
Suppose 2*q - 5*k = -52, -29 = q - k - 0*k. Let a = q - -36. Calculate the least common multiple of 6 and a.
30
Let s = -1961/6 + 326. What is the common denominator of s and (3 + (-2)/2)*(-429)/(-108)?
18
What is the common denominator of -41/18 and (2/((-144)/26))/((-19392)/(-2880))?
3636
Let n = 7 + -39. Let l = -20 - n. Suppose -25*g - l = -27*g. Calculate the smallest common multiple of 30 and g.
30
Let c = 995 - 960. What is the least common multiple of 84 and c?
420
Calculate the least common multiple of 266 and (7 - 23589/(-45)) + (-12)/(-15).
532
Let o be 13/5*(7 - -3). Suppose 3*n = -4*s + o - 180, 0 = -4*s + 5*n - 170. Let q = 54 + s. Calculate the least common multiple of 4 and q.
28
Calculate the smallest common multiple of 348 and ((336/(-18))/7)/(24/(-108)).
348
Suppose 2*j - 7 = -m, 3*m - 24*j + 19*j + 1 = 0. What is the lowest common multiple of m and 8468?
25404
Let n = 5/123042032 - -3153567272495/188623435056. Let y = -117/7 + n. Calculate the common denominator of y and -48/11.
2409
Find the common denominator of 3 - (-5 + 122/14) and -34/239.
1673
Let p = -6/1283 + 10438/37207. Let b = 1594 - 14348/9. Calculate the common denominator of b and p.
261
Suppose -2*z - 50 = 2*v - 54, 4*z = 3*v - 41. What is the smallest common multiple of v and 91?
91
Suppose 0 = -4*q - 3*j + 185, -16*q + 18*q + 4*j - 100 = 0. Calculate the least common multiple of (-1087)/(-11) - (-10)/55 and q.
396
Suppose d - 7 = 2. Calculate the lowest common multiple of d/6*8/12 and 50/(-325) + (-184)/(-13) + 0.
14
Let w be (-210)/126*6/(-1). Suppose w*o + 11 = 211. Calculate the smallest common multiple of o and 108.
540
Let v be (-4)/(-50)*(1137/(-6) - 5). Let d = v - -18814/1275. Find the common denominator of d and -62/5.
255
Suppose -4*k + k - 5*c + 21 = 0, -12 = -4*c. Suppose 5*q - k - 38 = 0. Calculate the common denominator of (q - 8) + (-5)/3 and -2/21.
21
Let j = -85195859/416 + 204798. What is the common denominator of j and -103/40?
2080
Calculate the common denominator of -8 + 10/8 + 1426725/211200 and 91/2816.
2816
Suppose -71*j + 76*j - 85 = -5*a, 0 = 5*j + 4*a - 86. Let m = -26 - -62. What is the lowest common multiple of m and j?
36
Suppose 84*l = 82*l - 2284. Let a = l - -37721/33. What is the common denominator of 61/3 and a?
33
Suppose r = 0, -3*v - 5*r + 75 = 2*v. Let k(p) = -34 - 42 + 7*p - 2 + p. Calculate the least common multiple of k(11) and v.
30
Suppose 3*n - 1 = 14. Suppose 0 = 3*g + 3*d - 27, -3*g - g = -n*d - 9. What is the least common multiple of 8 - -15 - (5 + 5) and g?
78
Let n = -88/5 + 979/90. What is the common denominator of -31/27 and n?
54
Suppose 4*l = -q + 484, 2*l + 134 = -2*q + 388. What is the lowest common multiple of 49 and l?
833
What is the common denominator of 41/10 and 217/(-300) + (-29)/435?
100
Let m(g) = g**3 - 15*g + 14. What is the lowest common multiple of m(7) and 594?
8316
Suppose 32*r + 240 = 36*r. Suppose 5*f - 46 = -v - 3*v, 0 = -3*v - 4*f + 35. What is the smallest common multiple of (18/10)/(v/r) and 6?
12
Let o(f) = 5*f**3 - 2*f**2 + f. Let p be o(1). Suppose -26 = -2*g + 3*j, -10 = p*j + j. Calculate the smallest common multiple of g and 6.
30
Suppose -10*b = 2*b. Suppose b = 8*c - 58 - 102. Calculate the lowest common multiple of c and 18.
180
Let p(n) = 9*n - 117. Let l be p(-8). Calculate the smallest common multiple of 44 and (-42)/l + (-750)/(-27).
308
Let q(d) = 7*d**2 + 11*d + 49. Let s be q(-5). Suppose 47*h + 341 = 4*t + 52*h, -2*t - h + s = 0. What is the lowest common multiple of 84 and t?
84
Suppose 5*m - 20*j + 16*j = 17544, -4*m + 14033 = -j. Calculate the least common multiple of m and 14.
24556
Let y be 6/(-8) - (-7)/4. Suppose 0*t = 5*b - 4*t - 28, -5*b + 37 = -t. Calculate the smallest common multiple of 3*y + 2 + 1 + 5 and b.
88
Suppose -2*b + 824 = 5*i, 5*b - 345 - 138 = -3*i. What is the least common multiple of i and 1162?
1162
Let s = -202 - -236. Suppose 0 = 6*f - s - 26. What is the smallest common multiple of 2 and f?
10
Let p(o) = -25*o**3 + 2*o**2 + 5*o + 10. Let v = 6 + -9. Let y be p(v). Calculate the common denominator of 83/82 and 2/(-4)*y/(-144).
738
Find the common denominator of 127/6 and (-160)/50 - -3 - (-4 - 83262/(-21915)).
2922
Suppose -4*j = 5*b - 271, 2*b + 3*j = 7*b - 243. Let o = b - 47. What is the common denominator of -49/3 and -4 - (o - 183/27)?
9
Let x = 830 - 270. Suppose -7*f + 0*f = -x. What is the lowest common multiple of 16 and f?
80
Suppose -2*j + 207 = -4*l - 41, -5*l + 5 = 0. Let s = 123 - j. Find the common denominator of 101/4 and 1 - (26/4 + s).
4
Suppose 0 = s - 5*s + 64. What is the common denominator of 3036/132 + 182/(-8) and -73*(0 - (-2)/s)?
8
Suppose -m + 272 = -47. Let y = 1855/6 - m. Let f = -177 + 1027/6. What is the common denominator of f and y?
6
Let x(c) = 29*c**2 - c. Let w = 6200 - 6195. What is the least common multiple of x(-1) and w?
30
Suppose 6 = 4*d - 230. Let q = 54 - -45. Let g = q - d. What is the least common multiple of 2 and g?
40
What is the common denominator of -51/182 and -14 + 13 + -2 - 4014/(-1428)?
3094
Suppose 65 + 109 = 3*f + 2*b, -3*f - 3*b = -177. What is the smallest common multiple of f and 476?
952
Let m = -23 - -26. Let z be (m - 188/20)/(4/(-30)). Calculate the common denominator of (-340)/z + 1/4 and -91/4.
12
Find the common denominator of -7/25 and 12 + (-780)/66 + 1823/(-9240).
4200
Suppose 11*b = 4*f + 7*b - 1184, -5*f + 1480 = 3*b. Calculate the smallest common multiple of 8 and f.
296
Let c(m) = m**2 + 4*m - 30. Let j be (-3)/2*(-9)/(-9)*-4. What is the smallest common multiple of 15 and c(j)?
30
Let w(k) = -167*k + 11. Let j be w(17). Let s = j + 39625/14. Let z = 6343 - 88859/14. Calculate the common denominator of s and z.
14
Let h(w) = -w**3 + 7*w**2 - 3*w. Let f = 6 - 0. What is the least common multiple of h(f) and (-4 - -3)/(((-310)/(-690))/(-31))?
414
Let v = -75 - -106. Let p = 40 - v. Calculate the lowest common multiple of p and 6*1 + 0 - 2.
36
Suppose 2*n + 3*z = -14 + 15, -3*n - 2*z + 4 = 0. Let b = 1015073/333322 + 2/15151. Calculate the common denominator of n - (6162/108)/(-13) and b.
198
Let l = 14892 + -31541171/2118. Find the common denominator of -107/10 and l.
10590
Let n(u) = 2*u**2 - 1. Let v(m) = 2*m**3 - 7*m**2 + 6*m - 28. Let b(q) = 3*n(q) + v(q). What is the smallest common multiple of 75 and b(4)?
525
Let w = 125 - 125. Calculate the lowest common multiple of 1*(w + 4) + 6 and 5.
10
Let r = -2225059/40301888 - -5/27379. Find the common denominator of 19/144 and r.
13248
Let i(a) = a**3 - 6*a**2 + 6*a - 6. Let l be i(5). Let p = -2/67 + 81/469. Find the common denominator of p and 1 - l - 329/84*3.
28
Suppose 14 = v - 3*d, 180*v - 181*v + 4*d = -14. What is the least common multiple of (-1 - -2)*-2 - -196 and v?
1358
Suppose 12*t - 3642 = 734 + 5632. What is the lowest common multiple of t and 60?
8340
Let d = 80534915546 - 5664825959080123/70340. Let t = 2/3517 + d. Find the common denominator of ((-12)/9)/(20/138) and t.
20
Let z be 1/(5/15) + -12. Let s be 574/5 - (z/(-15))/(-3). What is the common denominator of 80*(4 + s/(-30)) and 18/65?
195
Let u be 964/220 - (-1 - 0). Let b = 3/440 - u. Let r = -36397/13780 - 6/689. What is the common denominator of b and r?
40
Find the common denominator of ((-1)/(-22))/((-18)/(-306)) and 3/((-2640)/(-1256)) - (-12)/(-10).
22
Suppose 2*f + 5*b + 43 = -0*f, 5*f + 4*b + 116 = 0. Let g(a) = 1243*