1044
Suppose -33*o + 21*o = 288. Calculate the common denominator of 3*o/18 - 237/(-81) and -16/27.
27
Suppose 3*p - 5*x - 14 - 23 = 0, 5*p - 35 = 3*x. What is the lowest common multiple of p and 14/21 - 796/(-12)?
268
Find the common denominator of 139/600 and (-32)/(-4) + (-185402)/23100.
6600
Let c = -22 - 7. Let y(t) = t**2 + 30*t + 24. Let w be y(c). Calculate the common denominator of ((-2)/w)/(72/(-345)) and 11/6.
12
What is the lowest common multiple of 1497 and (-4)/(-34) + ((-15)/204)/((-26)/2080)?
2994
Let g = 278428/5 + -56748. Let b = g - -1056. Calculate the common denominator of b and 40/24 + 1*6.
15
Let g(n) = n - 30. Let a be g(32). What is the common denominator of 41/a*(-78)/(-1365) and 43/7?
35
Let s(i) = -i**3 - 7*i**2 - 11*i - 3. Let g be s(-5). Suppose -4*x + 2*x + 2 = 0, g*p + 5*x = 165. Calculate the least common multiple of 5 and p.
80
Let a(g) = -5*g + 2. Calculate the common denominator of 1*(-9)/132*-54 and a(-4).
22
Calculate the common denominator of (-15)/(-85)*(5960/(-720) + (0 - 0)) and -13/680.
2040
Let o = 249 - 261. Find the common denominator of (-85)/34 + (-167)/o and (-355)/(-1320) + (-2)/3.
264
Let v = -9 - -11. Let h(d) = -5*d + d**3 - d**2 + 0*d + v*d - 4*d**2 - 4. What is the least common multiple of 74 and h(6)?
518
Let t(b) = 219*b - 2*b**2 + 3*b**2 - 214*b + 1. Let w be t(-2). Calculate the common denominator of (w/75*-5)/(4/(-162)) and -63/5.
10
Let c = 143 + -173. What is the common denominator of (-20)/16*(-178)/c and (2/(-3))/(28/(-245))?
12
Let v = 51 + -26. Suppose 4*s = s. Suppose -2 + 0 = -z + 2*w, s = -2*z - 3*w + 11. Calculate the lowest common multiple of v and z.
100
Find the common denominator of (-21)/234*(-19)/(1729/325) and 67/42.
546
Let l = 10763/6360 - 62/265. Calculate the common denominator of -13/1536 and l.
1536
Calculate the common denominator of -91/2118 and 1344/(-1400)*(5/(-353) + 0).
10590
Calculate the common denominator of (-105)/(-168)*(-8 + 10 - (-14)/40) and -71/88.
352
Let j = -108 - -115. Suppose j = 3*c + 3*w - 7*w, -c - 1 = -2*w. Calculate the least common multiple of (1 - -20) + 1 + 1 and c.
207
Let t = -1383 + 1446. Calculate the lowest common multiple of t and 546.
1638
Let y(m) = -123*m - 2670. Calculate the smallest common multiple of y(-30) and 40.
2040
What is the lowest common multiple of (2 + 32/(-6))*(-8 + (-22 - -6)) and 112?
560
Let l be 0/(0 - 4) - -31. Let b = -28 + l. Suppose 2*d = -3*m - b*d + 51, 2*m - 50 = 2*d. What is the lowest common multiple of m and 2?
22
Suppose -3*i - 86 = -5*k, 0 = 3*i + 7 - 1. Suppose -2*l = -l - k. What is the least common multiple of l and 285/21 + 144/336?
112
Let g(r) = r**3 - 27*r**2 + 63*r - 85. Calculate the lowest common multiple of 36 and g(25).
720
Suppose 11*m + 211 + 482 = 0. Let w = 328 - 1951/6. Find the common denominator of (-5)/(165/m) + (2 - -1) and w.
66
Let f = 42577880 + -680971311/16. Let g = f - 17179. Calculate the common denominator of 97/76 and g.
304
Let m = 787921/28 - 28123. Let i = m - 2293/140. Calculate the common denominator of -12/35 and i.
35
Let w(d) = -d**3 - 20*d**2 + 33*d - 112. Calculate the smallest common multiple of w(-22) and 1404.
7020
Let o = -3938 + 6568. Let p = -26377/10 + o. Calculate the common denominator of p and 2255/(-400) - 1/(-5).
80
What is the common denominator of (-39)/(-20)*(-592)/(-63714) and 11/2460?
17220
Let q = 1004 + -984. Let z(s) = s**3 + 6*s**2 - 3*s + 2. Calculate the lowest common multiple of z(-6) and q.
20
Suppose -3*i + 733 + 287 = 0. What is the common denominator of -7*15/i*(-2)/(-12) and -47/51?
408
Let a = 987/130 - 209912/27755. Calculate the common denominator of 103/122 and a.
854
Calculate the common denominator of (-182)/(-26) - (1 + 587/103) and 53/11.
1133
Suppose -130 = 16*m - 418. What is the least common multiple of m and 11324?
101916
Let m(q) = -2*q**2 + 83*q + 139. What is the lowest common multiple of 220 and m(43)?
220
Let d = 2787071/7651746 + -2/47233. What is the common denominator of d and 38/81?
162
Let h(t) = t**2 + 46*t + 282. Calculate the smallest common multiple of h(-7) and 3951.
3951
Let q = 3606955 + -10705403/3. Let z = q + -1140679/27. Let s = 3761 + z. Calculate the common denominator of -103/30 and s.
270
Suppose -7*l + 101289 = -26*l. Let y = -1641939/308 - l. Find the common denominator of y and -37/14.
308
Let t = -2223769/42987 - -3572/69. Calculate the common denominator of 10/4539 and t.
31773
Suppose -5941 = 64*y + 25*y - 50975. What is the lowest common multiple of 110 and y?
2530
Suppose 2*n + 9 - 45 = 0. Let h = 2 - -6. Suppose h*x = 4*x + 8. Calculate the smallest common multiple of n and x.
18
Let k = 621273733/2040 + -304546. Find the common denominator of -93/400 and k.
20400
Let j = -173 - -325/2. Let a(p) = -20*p + 7. Let z be a(-11). Calculate the common denominator of j and (18/(-36) - z/(-40)) + -3.
40
Suppose -101*v + 96*v + 570 = 0. Suppose 10 = -2*o, 5*o - 33 = 4*f - v. Calculate the least common multiple of f and 28.
28
Suppose -t + 5*v = -133, 7*v - 4 = 2*t - 291. What is the smallest common multiple of 77 and t?
1848
Let a = 848003 - 834434827/984. Calculate the common denominator of a and 68/9.
2952
Let x = 64881/11 - 5894. What is the common denominator of 1 - 184/116 - (-13 - -13) and x?
319
Let v = 273839/64008 - 3/7112. What is the common denominator of v and 32/2457?
4914
Let u be (1 - -1) + -34 + 35. Suppose -192 = -u*f - f. Calculate the smallest common multiple of f and 40.
240
Let w be (-5 + 954/186)*(-2)/(-286). Let y = -551/1612 + w. Calculate the common denominator of y and -15/8.
88
Let t be (1*12)/(33/(-220)) + 0. Find the common denominator of 2 + ((-3624)/t)/(36/(-10)) and -4/3.
12
What is the common denominator of ((-590)/300 - -3) + 18/15 and -56/1455?
2910
Suppose 28 = -4*d + 4*q - 0, -3*q + 6 = 0. Let j(w) = -w**3 - 5*w**2 - 3*w + 7. What is the smallest common multiple of 6 and j(d)?
66
Find the common denominator of (459/(-12) - 1)/(90/24*2) and 33/182.
2730
Suppose -30 = -3*l + l. Suppose -2*q = k - 3*k - 30, -l = -5*k. What is the smallest common multiple of q and -1 - 10 - (20 + -17)*-9?
144
Suppose 845*k - 866*k + 11256 = 0. Calculate the least common multiple of k and 2144.
2144
Let o = -20027/9 - -197897/90. Let j = o - -32. What is the common denominator of 59/21 and j?
210
Let x be 4*(-5 + (-26)/(-4)). Suppose -x = -g + 3*q, -3*g = -3*q - 0*q - 18. What is the lowest common multiple of g and 28?
84
Suppose -3*m - 10 + 72 = 5*k, -3*k + 18 = m. Suppose -324*q - 240 = -339*q. What is the least common multiple of m and q?
48
Let w = 296951293/540 + -549910. Find the common denominator of 1/270 and w.
540
Let g = -2/53115 + -1327861/371805. Calculate the common denominator of 20/147 and g.
147
Let f = -6272 - -6284. Let d(x) = -12*x. What is the lowest common multiple of f and d(-2)?
24
Let a = -2006/5021 + -181664849/100420. Let s = 1809 + a. What is the common denominator of 122/(-280) + (-4)/(-10) and s?
140
Let n(l) = 8*l**2 + 3*l - 3. Let h be 6*(-1 + (8/6 - 1)). Calculate the least common multiple of (-2 - h) + (-7)/(14/(-12)) and n(1).
8
Let g = 10774 + -851169/79. Find the common denominator of g and 13/632.
632
Let u = -67 - -71. Let n be (-6)/u*(-5 + 55/15). Suppose -n*m = -4*m + 44. Calculate the least common multiple of 8 and m.
88
Let l = 30 + 15. Let g be (-16)/(9/(l/(-10))). Suppose -8 - g = -4*r, -5*r = 5*t - 80. What is the least common multiple of t and 10?
60
Let j = 3746/10241 + -2/931. What is the common denominator of j and 31/674?
7414
Find the common denominator of 16*(-210)/(-56000) + (3 - 1) and 3/(-1) + 226/32.
400
Let s = 478 + -361. What is the lowest common multiple of (4 + -2 - -43)*4/6 and s?
1170
Let h = 955 + -9599/10. What is the common denominator of h and 1 - (243/(-60))/3?
20
Let l = -831/10 + 79. Let r be -92 + 0 - 1*(-9 - -7). Find the common denominator of -5 - (-6 - (-381)/r) and l.
30
Let j(s) = -s**3 - 2*s**2 + 9*s - 3. Let y be j(-4). Find the common denominator of (1 - -2)/((595/(-25))/y) and 46.
17
Suppose 13 = w - 1. Let m be 50/(-245)*w/176. Let c = m + 16503/1540. Find the common denominator of c and -103/58.
290
Let r = 14611/179662 + -26/313. Let g = r + -14919/2870. Calculate the common denominator of