the common denominator of -149/150 and 1*(-7 - -2) + (127040/3125)/8?
3750
Let v be (64/56)/(3 - 38/14). Let j = -18 + 20. What is the lowest common multiple of j and 20 + 2 - v*1?
18
Let b = 217 - 121. Suppose -2*x - b = 2*x. Let w = -18982/5 - -11372/3. Calculate the common denominator of w and x.
15
Suppose -116*c + 123*c + 21 = 0. Let i be (137 + 4)/((-6)/4). Calculate the smallest common multiple of -3 + i/(-6) - (-2)/c and 32.
96
Let u = 1855 + -1816. What is the lowest common multiple of u and 380?
14820
Let n = 1577/1674 - 63/62. Suppose u - 5 = 2*a, 5*a + 40 = -0*u - 3*u. Find the common denominator of 201/(-72)*4/a and n.
270
Suppose 0 = -5*a + 10, 0 = -2*m - m + a - 677. Let z = 245 + m. Suppose -i - 2*p - 2*p + 36 = 0, 0 = -3*p. What is the smallest common multiple of i and z?
180
Suppose 6*y - 43 + 25 = 0. Calculate the least common multiple of ((-987)/6)/(-7) - y/2 and 18.
198
Let j = -484 - -546. Find the common denominator of -143/12 and (j/(-16) + 4)/((-6)/1096).
12
Calculate the common denominator of -3/415 and (84/(-56)*68/12)/(2/4).
415
Suppose 2*o + 6 = 20. Suppose -2*z = -7*z + 75. Suppose 0 = -8*f - z + 23. Calculate the lowest common multiple of f and o.
7
Let x(p) = -p**2 + 12*p + 12. Let j be x(13). Find the common denominator of -2 - ((-556)/24 - 3) and (-837)/180*(1 - j).
30
Suppose -4*t - 35 + 107 = 0. Let r(n) = -n**2 + 8*n - 13. Suppose 4*f + 4*w = 8, -6*f + 4*f + 19 = -3*w. What is the lowest common multiple of t and r(f)?
18
Let a be -2 + (-8892)/(-8) + 3. Let c = -3800 + 2652. Let d = a + c. Calculate the common denominator of 13/11 and d.
22
Let f(a) = -5739*a - 154949. Calculate the lowest common multiple of f(-27) and 1/(((-4)/(-746))/2).
1492
Let b = 42 - 6. Let l = b + -29. Calculate the least common multiple of 7 and l.
7
Let z(k) = -k**2 + 4*k + 40. Calculate the smallest common multiple of z(6) and 640.
4480
Let a be 1/(-3) - (-170)/6. Suppose a = 7*r - 0. Calculate the least common multiple of (-6)/15*(-1 - 9) and r.
4
Suppose -18*m = 4246 - 11050. What is the least common multiple of m and 2?
378
Let g = 868 + -862. Let n = -12 - -36. Suppose -u - 3*u = -n. What is the smallest common multiple of g and u?
6
Suppose -159*x - 204 = -163*x. Suppose 6*d + 405 = 21*d. Calculate the least common multiple of d and x.
459
Let z be (-3)/(9/2) - (-92)/12. Suppose i - z = -5*o + 9, -2*o - 14 = -3*i. What is the smallest common multiple of i and -10*(104/(-30) - 2/(-3))?
84
Let p = -2754887/66 + 41742. Find the common denominator of -149/1620 and p.
17820
Suppose 0 = 28*q - 17*q - 55. Suppose -2*v - 7*v + 261 = 0. Suppose 61 = q*h - v. Calculate the smallest common multiple of 30 and h.
90
Find the common denominator of (24/(-3360)*-10)/((-2)/(-214)*11) and -23/616.
616
Suppose -i + 3*x = 18, -i = -4*x + 135 - 118. Find the common denominator of i and (21/(-56))/(9/508).
6
Suppose -5*z + 10*z = 10. Find the common denominator of -38*z/135*(-20)/(-96) and 43/8.
648
Suppose 9*d + 435 = 4*t + 6*d, 3*t = 2*d + 325. What is the smallest common multiple of 345 and t?
2415
Suppose 34 = -41*j + 362. Calculate the least common multiple of 1144 and 14 + ((-64)/j - 0).
3432
Suppose 3*h = -h - 3*w + 102, 2*w = -2*h + 52. What is the lowest common multiple of (1909 + -1941)*(-1)/2 and h?
48
Let a(m) = 249 + 2*m + m**2 - 121 + 0*m**2 - 122. What is the least common multiple of a(-6) and 21?
210
Find the common denominator of (-437523)/(-751680) + (-3)/5 and 91/2160.
8640
Let b = -39529583/308027400 + -1/513379. Calculate the common denominator of b and 83/120.
600
Suppose 3*p - 13*g = -9*g + 19442, 5*g = -4*p + 25871. What is the lowest common multiple of 24 and -3*2/(-54) + p/54?
120
Let g be -20*(0 + 3/(-5)). Suppose 15 = d - 4*b - 4, 3*b = -g. Suppose 29*v - 28*v - 9 = 0. Calculate the smallest common multiple of d and v.
9
Let s = -215 - -211. What is the common denominator of (-252)/(-16) - 6/s and 45/67?
268
Let x be (298/6)/(8/57). Let w(d) = -40*d + 2. Let q be w(-9). Let y = q - x. What is the common denominator of y and 1/8?
8
Let f = 7243/5 - 1458. Calculate the common denominator of f and 26/5.
5
Find the common denominator of 10/(-44)*235/(-100) and (-43845)/999*(-12)/440.
264
Suppose 5*i - 49 = -b - 8, -b + 2*i = -62. What is the common denominator of (13/4 - -2)*(-30)/b and 29/92?
368
Let y(j) = -49*j - 429. Let x(p) = -p + 6. What is the lowest common multiple of y(-9) and x(-9)?
60
Let x = -17 + 25. Let r be (-283)/(-15)*x/132. Let s = -46/45 + r. Find the common denominator of -23/12 and s.
132
Suppose -34*k - 20269 = 4721. Let u = -715 - k. Calculate the smallest common multiple of u and 4.
20
Suppose -17*y + 24 = f - 15*y, 4*f = -y + 82. What is the least common multiple of f and 1664?
8320
Let l = -823358 - -663626655/806. Calculate the common denominator of -117/20 and l.
8060
Let p = -3706 + 3717. Calculate the least common multiple of 869 and p.
869
Let t(l) = l**2 + 9*l + 29. Let r be t(-6). What is the lowest common multiple of 72 and 3 + r + -7 + 74?
648
Let k(j) = -j - 12. Let n = 12 + -26. Let h(q) = 4*q + 35. Calculate the least common multiple of h(7) and k(n).
126
Let w = -771077/12436138 - -1/51389. What is the common denominator of w and -107/374?
4114
Suppose 66*n = 63*n + 39. Suppose -34 = 10*u - n*u + 4*d, -5*d = -4*u + 47. Calculate the smallest common multiple of u and 18.
18
Let i = 16/819 + 2045/2457. What is the common denominator of ((-882)/(-350))/(0 - 6/15) and i?
270
Let r(n) = n**3 + 16*n**2 + 27*n + 808. What is the smallest common multiple of 795 and r(-17)?
3180
Let p = -21381559/1096557225 - 1/668225. Calculate the common denominator of p and 16/9.
4923
Let d = 205 - 200. Suppose 4*x - 240 = -o - 2*o, x - 37 = d*o. What is the least common multiple of x and 27?
513
Suppose -1080*p + 7781 = -15979. Let g(t) = 0 + 31*t**3 - 2 - t - 2*t**2 + 4. What is the lowest common multiple of g(2) and p?
2640
Let i(u) = 37*u - 215. Let t be i(34). Suppose -3*b - 1004 = -4*v, -b = 4*v - t + 55. Calculate the least common multiple of v and 22.
2728
Calculate the common denominator of (230/(-8))/((-98)/4) and 22/(-209) - (-303017)/24776.
392
Let t = -791 - -805. What is the smallest common multiple of t and 1846?
12922
Suppose -18*x + 96*x - 36192 = 0. What is the least common multiple of 116 and x?
464
Let b = 290 - 1476/5. Find the common denominator of (531/6490)/(9/555) and b.
110
Calculate the common denominator of -10*17/4080*(968/4 - 5) and (-316)/30*3/32.
80
Let j(y) = 14*y + 1343. Calculate the least common multiple of 417 and j(-94).
3753
Suppose 0*f - 3*s - 3 = -f, 3*s - 6 = 0. Suppose 3*q + f = -x + 102, -x - 27 = -q. Calculate the least common multiple of (0/(-2))/1 + 33 and q.
330
Suppose 0*c = 3*c - 4*k - 43, 0 = 5*c + 4*k - 29. What is the least common multiple of c and 42/(-63) - (750/(-18) - -5)?
36
Let s be (12 + -1)*(-5 - 0). Let t = 15878 + -127443/8. Let w = t - s. Find the common denominator of w and -23/4.
8
Suppose x - 3853 + 1176 = 0. Let a = 26799/10 - x. What is the common denominator of -93/4 and a?
20
Let s be 4/(-9)*(-41388)/(-320) + 3. Let w = s - -219/4. Let o = 16307 + -195829/12. What is the common denominator of o and w?
60
Suppose -1260 = -136*n + 916. Calculate the smallest common multiple of n and 5.
80
Let o = -52696 - -52702. Suppose 12 = -3*y + 4*y. Calculate the lowest common multiple of o and y.
12
Let k be (80/(-5160))/((-1)/165). Let r = k + -2281/774. What is the common denominator of r and 0/2 + 214/(-36)?
18
What is the lowest common multiple of 43600 and (-6)/38 - 77741/(-5491)?
305200
Let y(t) = 29*t**2 - 998*t - 7031. What is the least common multiple of y(-7) and 1204?
9632
Let u = 3446595151/114 - 30202590. Let w = -30701 + u. Calculate the common denominator of -27/19 and w.
114
What is the common denominator of (-760)/(-864)*(-4)/10 and 5718/(-252) + (-3)/21?
54
Let a = -3880 + 162973/42. Calculate the common denominator of 41/2772 and a.
2772
Suppose -1117 - 1487 = -7*g. Suppose 4*a + 434 = -5*p, 2*p - 3*a + g = -2*p. Calculate the common denominator of -59/7 and 529/p - (-4)/(-18).
70
Let a = -181 + 184. Suppose -2*p - a*p + 30 = 0. What is the smallest common multiple of 11 and p?
66
Let z(m) = m**3 - 17*m**2 + 2*m - 4. Let q be 