uppose 106*m = 105*m + 5*n + 134, -3*m = n - 386. What is the lowest common multiple of 6 and m?
258
Let c be ((-11)/(-2))/((-1)/2*-1). Suppose -2*d - 9 = -c, 0 = o + d - 7. Calculate the smallest common multiple of 29 and o.
174
Let b(o) = 12*o - 42. Let r(v) = -4*v + 34. Let k(i) = -4*i + 34. Let c(t) = -2*k(t) + 3*r(t). What is the smallest common multiple of c(8) and b(5)?
18
Suppose 10*w = -4*a + 6*w + 848, -5*w = 2*a - 421. Calculate the least common multiple of a and 60.
4260
Suppose 4*x = -2*z - 8, 4*z = -x + 3*z. Find the common denominator of -52/55 and ((0 + x)/1 - -105)/(-50).
550
Let t = 145 + -148. Find the common denominator of 147/3*(t + (-62)/(-20)) and 93/4.
20
Let f(q) = -15*q + q**2 - 9 + 24 + 7 + 3*q. Let j(v) = 3*v**3 + 165*v**2 - 2*v - 103. Calculate the least common multiple of f(10) and j(-55).
14
Suppose 0*l + 4 = l, -3*l + 26 = 2*n. Let r(j) = -j**2 + 3*j + 13. Let x be r(n). What is the common denominator of 42/x - ((-3)/(-6) + -1) and -41/12?
60
Let o = -1684195/56 + 30074. Find the common denominator of o and ((-520)/(-1456))/((-1)/(-1*13)).
56
Let h(l) = -2*l**3 - 31*l**2 + 43*l + 4. Calculate the lowest common multiple of h(-17) and 665.
2660
Suppose -7*m + 10*m + p = 4, -2*m - 4*p + 16 = 0. Calculate the least common multiple of 20 and 20/(8/52 + m).
260
Let c(a) = 6*a**2 + 6*a - 3. Let u be c(5). Let k = u + -305. Calculate the lowest common multiple of k/(-48)*(2 - -1) and 20.
40
Calculate the common denominator of (-2)/1 - (-20920)/9840 and -37/48.
1968
What is the least common multiple of ((-90)/6)/5 + (-4)/4*-68 and 1040?
1040
Let f = -479 + 477. What is the common denominator of 170/(-12) - (-7 + 10 - f) and -1/8?
24
Suppose 23*j = 22*j + 2*l + 1, 15 = -5*l. What is the smallest common multiple of 73 + (j - (-7 + (-3)/(-1))) and 40?
360
Let j = 2976 + -2058. What is the smallest common multiple of 30 and j?
4590
Let t(i) be the second derivative of 0 + 6*i + 7/2*i**2 - 1/20*i**5 - 5/3*i**3 + 11/12*i**4. Calculate the smallest common multiple of t(10) and 17.
119
Calculate the lowest common multiple of 2163 and (4 - -72)*(-129)/(-12) + 7.
17304
Suppose -4*i = -23 - 133. Suppose 5*j = -2*k + 59, -8*j + 42 = -4*j - k. What is the lowest common multiple of j and i?
429
Suppose 0 = -4*o - 8*o - 3360. What is the common denominator of 660/o - 5/2 and 47/56?
56
Let p = -127 + 127. Let h be 12 + (1 - 4 - p). Calculate the common denominator of 67/10 and (-2 - (-30)/h)*(-15)/22.
110
Let h = -1/161104 + 1807345229/805520. Let j = -2236 + h. Let t = 212 + -707/3. Find the common denominator of t and j.
30
Let a = 1314965/132 - 39839/4. Calculate the common denominator of 49/44 and a.
132
Let k(z) = z + 15. Let i = -10 - -10. Calculate the least common multiple of k(i) and 156.
780
Let r = -18031066 - -504793785/28. Let n = r + 2715. What is the common denominator of 65/77 and n?
308
Suppose 0 = -3*d - 1903 + 355. What is the common denominator of -17/5 and (((-18)/(-4))/3)/(d/(-416))?
215
Let r = -3 - -5. Let s(i) = 3*i**2 - 77*i + 187. Calculate the lowest common multiple of r and s(23).
6
Suppose -251 = -6*a + 181. Calculate the common denominator of -17/42 and (-4)/a*(309/6 - 5).
84
Suppose 15*z - 164 - 72 = 4. Calculate the lowest common multiple of z and 6564.
26256
Suppose 0 = -10*y + 5 + 45. Suppose -40 = -9*r + 7*r + 2*k, 2*k - 86 = -y*r. Calculate the least common multiple of 66 and r.
198
Let s be 48/14*(-2)/(20/(-105)). Suppose 0 = -3*f + 9 + s. Calculate the smallest common multiple of 3 and f.
15
Suppose -3*w - d = -184, 7*d - 182 = -3*w + 5*d. What is the least common multiple of w and 162?
5022
Let l = 119 + -84. Let y = 23 - l. Let m(k) = -2*k - 3. Calculate the lowest common multiple of m(y) and 3.
21
Let a = -1497/119 - -311/17. Find the common denominator of 44/1019 and a.
7133
Let l = -60 - -55. Let r be (0 + (-44)/20)/(1/l). Let p(d) = 2*d - 17. Calculate the least common multiple of p(r) and 11.
55
Let j = -30 + 57. Calculate the lowest common multiple of 144 and j.
432
Suppose 56*n = 53*n - 216. Let a = -198 - n. Calculate the common denominator of -63/20 and 1047/a - (2 + (-8)/3).
140
Suppose l - 4*z = 27, -22*z + 19*z - 54 = -3*l. Calculate the smallest common multiple of 27 and l.
135
Let x = -62773/60 - 679/20. Let v = -38 + 1123. Let n = v + x. Calculate the common denominator of n and 37/206.
618
Let m(k) = 12*k + 83. Let d be m(-6). What is the lowest common multiple of 7 and 0 - -7 - d*(-11)/(-121)?
42
Calculate the smallest common multiple of 15112 and 40/(-3)*24/(-16).
75560
Calculate the least common multiple of 320 and (6 + (-7 - -5))*22.
3520
Let b = 427 - 417. Suppose 2*c - 5*c + 219 = 0. What is the lowest common multiple of b and c?
730
What is the common denominator of -53/1715 and (130/28)/(0 - -3 - (-3 - -8))?
6860
Find the common denominator of -69/2975 and (-172)/(-210)*((-43455)/(-1275) + -34).
8925
Suppose -2*h + 71 = h - p, 5*p - 5 = 0. Suppose 4*m + 8 - h = 0. Suppose m*x - 270 = -6. Calculate the lowest common multiple of 10 and x.
330
Calculate the least common multiple of (6/8)/(((-285)/(-13528))/15) and 24.
2136
Let h be (2 + -4)*(-3 + 4). Find the common denominator of 218/20*(10 + h + -9) and 1/47.
470
Calculate the common denominator of -36 + 3949/110 - (-4758)/46480 and 1/14.
4648
Let g be (4/5)/(-2 - 564/(-280)). Calculate the common denominator of ((-305)/g - 1) + 6 and 1/16.
112
Let j(k) = -k**3 - 17*k**2 - 2*k - 10. Let u(b) = 2*b + 17. Let o be u(-19). Let l be j(o). Let s = l - 16142/9. What is the common denominator of 56/3 and s?
9
Let w(s) = -22*s + 57. Let b be w(3). Calculate the lowest common multiple of 118/(-531)*25*b and 135.
1350
Let u = -5374/7 - -532243/693. What is the common denominator of u and 12 - (-2 - 3609/(-297))?
99
Suppose 18 = 4*o - 2*q, -2*q - 23 = -13*o + 8*o. Suppose -186 = -3*h + 5*r - 4*r, -4*h + 248 = o*r. Calculate the smallest common multiple of 18 and h.
558
Let f be (-16130)/5*3/(-6). Let s = f + -14576/9. Let k = -1400 - -37793/27. What is the common denominator of k and s?
27
Suppose -5*a + 197 = -2*o - 0*a, 3*a = -o - 93. What is the smallest common multiple of (1 - 6/(-2)) + o/(-8) and 2/(-7) + 100/7?
112
Suppose 0 = 5*p - 3*r - 79, -3*p - 48 = -6*p + 2*r. Let w = 1355 + -499. What is the lowest common multiple of w and p?
5992
Let i be 624/(-28) + 4/14. What is the common denominator of -2 + -2*3*i/(-54) and 57/6*(-4)/20*2?
45
Suppose 0 = -2*u + 44 - 38. Suppose 3*a - 90 = 2*h, -3*a - h + 99 = -0*h. Suppose 5*v - a = -u*v. What is the lowest common multiple of 22 and v?
44
Calculate the common denominator of (2 - 2/(-4)*-2)/((-15946)/35309) and -121/6.
42
Let q = 144935/637026 - -3/65336. What is the common denominator of (-8)/(-12)*-6 - 305/30 and q?
312
Let i = 30385 - 2673799/88. Calculate the common denominator of 874/144 - 5 - 5*4/(-40) and i.
792
Suppose 3*u + 8 = -2*m, 7*u + 13 = -4*m - 7. What is the least common multiple of 474 and m?
474
Calculate the common denominator of (-4 - 16640/8376) + 6 and -151/6.
2094
Let p = -483414 + 786620. Let s be p/(-3276)*8/112. Let j = s - 1/7644. Calculate the common denominator of 67/6 and j.
18
Suppose 21 = -3*y, 4*a - 121 = -24*y + 27*y. What is the least common multiple of 73 and a?
1825
Suppose q - 5 = 4*w - 7, 3*w - 3*q - 6 = 0. Suppose -3*r + 8*r = 55. Suppose r*y - 2*y - 270 = w. What is the smallest common multiple of y and 30?
30
Let f(x) be the first derivative of x**4/4 + 17*x**3/3 + 14*x**2 + 10*x + 45. What is the lowest common multiple of f(-15) and 10?
40
Let r be (11 + -12)*(-1 - -2)*-2. Suppose -3 = -5*s + 2*s, -s + 105 = r*h. What is the smallest common multiple of 40 and (-12)/(-42) - h/(-14)?
40
Let k = 1714 + -1446. What is the smallest common multiple of k and 148?
9916
Let k = 17738/17 + -31520545/30209. Calculate the common denominator of k and -65/9.
15993
Calculate the common denominator of -29/756 and (-8)/56*2 - (-2045)/5040.
3024
Suppose 81*f - 3352 = 78*f + o, 3*f - 3*o = 3360. What is the least common multiple of f and 27?
3348
Let o = -23711 - -711287/30. Let y = 36694/45 + -816. What is the common denominator of y and o?
90
Let g = 79 - 103. What is the common denominator of 27/g*(-1092)/(-105) and -56/3?
30
Let s(m) = -m**3 - 14*m**2