 common denominator of -19/132 and (-8375)/134*9/(-240)?
1056
Suppose 42*h = 2*i + 38*h - 136, 0 = 3*i + 4*h - 224. Suppose -4*m + i = 32. What is the smallest common multiple of m and 6?
30
Let x = -19796 - -10472087/529. Let g = x - -19558/2645. Calculate the common denominator of g and -47/10.
10
Let j be (1/(-10)*6)/((-2)/1090). Let z = 179 - j. Calculate the least common multiple of z/(-6) + (-44)/66 and 24.
24
Let h(o) = -703*o - 3697. What is the lowest common multiple of 24 and h(-7)?
1224
Calculate the common denominator of -73/9 and 34514/(-27720) - (264/(-32) - -7).
3465
Let l = 1/7071 - 141449/205059. What is the common denominator of 109/6 and l?
174
Suppose 39*a = 40*a - 2. Let b = -389/110 - -2/55. What is the common denominator of (2/(48/12))/(a/(-22)) and b?
2
Let i = -146 - -93. Let n = 107 + i. Calculate the smallest common multiple of 22 and n.
594
Let d = 2542 - 2176. Calculate the smallest common multiple of 122 and d.
366
Suppose -s + 36*s = 0. Suppose 5*y + y - 48 = s. What is the smallest common multiple of y and 74?
296
Let m(c) = -c**2 - 69*c - 236. What is the smallest common multiple of 3 and m(-11)?
402
Suppose 36*o - 46 = 228 + 86. Suppose -5*h - c = -5*c - 42, 18 = 2*h - c. What is the least common multiple of o and h?
10
Let j = -342 - -3399/10. Let r = 127123/8 - 15887. Calculate the common denominator of r and j.
40
Calculate the common denominator of 119/90 and 80/1520 + (-1677)/1900.
900
Suppose 40 = 5*s, -234 = -v - s - 223. Suppose 5*y + 4*q - 181 = 0, -4*y - q + 3*q + 124 = 0. What is the smallest common multiple of y and v?
33
Let i(b) = -2*b + 1. Let k(o) = 2*o + 8. Let l(y) = 3*i(y) - k(y). Let t = 25 - 26. What is the lowest common multiple of 7 and l(t)?
21
Let t = -1321539/70 - -18881. Let c = 24027/3542 - -4/1771. Calculate the common denominator of t and c.
70
Suppose -c + 152 = 4*n, 0*c + 125 = c - 5*n. Suppose 12*b - 8*b = -4*s + c, s = -4*b + 20. What is the lowest common multiple of s and 25?
200
Let w(h) = -567*h - 3557. What is the least common multiple of w(-11) and 1340?
2680
Calculate the common denominator of -55/344 and 10 + -3 - 360916/(-460)*(-10)/1118.
4472
Let f(w) = -2*w**2 + 6*w - 27. Let j be f(4). Let g = j - -77. What is the lowest common multiple of 16 and g?
336
Let u(m) = m**3 + m**2 - 17*m - 23. Let i be u(-7). Find the common denominator of -4*(-275)/i - -3*2 and 178/56 + 0 + 1.
252
Let w = -197 - -397. Let x = -185 + w. Calculate the smallest common multiple of 21 and x.
105
Let i(j) = -j**3 - 5*j**2 + 35*j - 2. Let p be i(-9). Suppose -p*m = 208 - 439. What is the smallest common multiple of m and 42?
462
Let t(c) = 29388*c**2 + 5*c + 3. Let l be t(-1). Let f = l + -55921/2. Let z = -1460 + f. What is the common denominator of -49/6 and z?
6
Let z = 8853677/209520018 - -5/106789. Find the common denominator of -103/66 and z.
21582
Suppose -20*a + 3 = -4 - 13. Calculate the lowest common multiple of a and 424.
424
Let g(d) = d**3 - 5*d**2 - 9*d + 6. Let w = 5402 - 5397. Calculate the least common multiple of w and g(7).
205
Calculate the lowest common multiple of (23 - (11 - -2))/((-1)/(-4)) and 110.
440
Suppose -29*s + 170 = -24*s. Let b be (s/(-4))/((-2)/(-124)). Let f = b + 2035/4. Calculate the common denominator of 101/12 and f.
12
Let o = 293 + -263. Let l = 10925/8 - 1368. Calculate the common denominator of 20/o*(-570)/(-1688) and l.
1688
Let u(r) = -2*r**2 - 61*r + 39. Calculate the lowest common multiple of 472 and u(-31).
472
Let r be 3 - ((-8)/44 + 30413/(-11)). Let l = r - 38711/14. Let z = l - -457/126. What is the common denominator of z and 44/51?
153
Suppose -88*r - 430 = -1750. Let u(n) = 15*n - 6. Let s(x) = 23*x - 9. Let h(l) = -5*s(l) + 7*u(l). What is the least common multiple of h(-3) and r?
165
Suppose 5*c = -10*c + 90. Find the common denominator of (-236)/c*(6/(-8) - 0) and 26/(33/6*-1).
22
Suppose -12*n + 6495 = 639. Let g = n + -464. Let c = 43 - 22. Calculate the least common multiple of c and g.
168
Let r = 1725569/48 - 35950. What is the common denominator of r and -45/152?
912
Calculate the common denominator of -73/288 and (-4)/(-10) + (-884)/935 + 1083/(-1584).
288
Suppose -3968 = -2*a - 2*y, 98*a - 2*y + 9899 = 103*a. Calculate the smallest common multiple of 11 and a.
21747
Let p be (-906242)/120 + 33/44. Let g = p + 7546. Calculate the common denominator of 167/30 and g.
30
Let d(t) = -13*t - 85. Let r be d(-6). Calculate the smallest common multiple of 70 and (r - 115/(-15))*63.
210
Suppose 4 = -4*s, -5*o + 9*s = 4*s + 15. Calculate the common denominator of -137/18 and o + (928/108)/2.
54
Find the common denominator of ((-411)/54)/((-6)/9) and (-7 - (-1 + 1)) + (-872)/544 - -9.
204
Let r be ((-660)/88)/((-2)/4). Suppose -d = 2*f - r, 7*d + f = 9*d - 5. What is the least common multiple of d and (-1)/((-2)/1)*2?
5
Let v = -18925/8 + 2365. What is the common denominator of v and 25/22?
88
Calculate the common denominator of -16/31 and 10/20*65/767.
3658
What is the lowest common multiple of 671 and 29/((-812)/(-8547)) + (-4)/(-16)*-1?
3355
Suppose 4*z - 2*g = 1 + 9, z - 10 = 3*g. Let s be -3 - (-3 - -1)/(-3 + z). What is the common denominator of -93/22 and 2424/(-560) - s/10?
154
Let z = -40 - -64. Find the common denominator of 238/(-504) - 8/(-36) and (-2 - 1)*244/z.
4
Let x = -10969/30 + 365. Let t = 14/15 + x. Find the common denominator of 23/30 and t.
30
Let f be 6/27 - (93812/144 - -4). Let x = f + 666. What is the common denominator of x and (95/(-4))/(-13 + 9)?
16
What is the lowest common multiple of 54/(-4)*(-2432)/2736 and 1230?
2460
Let n be (2 + 340/6)*(-75)/(-5). What is the common denominator of 1030/n - (-2 + 3) and 95/(-22) + 1/2?
88
Let u(t) be the first derivative of t**2/2 - 19*t - 64. Calculate the smallest common multiple of u(21) and ((-8)/(-3))/(2/6).
8
Suppose 6 = -6*h + 5*h - 4*l, -3*h - 8 = 2*l. Let v be 0*(h - (33/(-9) - -2)). Suppose v = -j + 3 + 3. Calculate the smallest common multiple of 10 and j.
30
Let j = 199036372316301377604022/1769075 + -112508724794762229. Let q = 27/160825 - j. Let h = -4180 - q. What is the common denominator of h and 83/2?
22
Let f = 196 + -374. Let w = f - -190. What is the smallest common multiple of w and 32?
96
Let b = -2248 + 2264. What is the smallest common multiple of 744 and b?
1488
Suppose 4*r - 4*x - 312 = 0, 4*r + 6*x = 4*x + 294. Suppose 3*a = 8*a - r. What is the smallest common multiple of a and (186/18 + -9)*(-36)/(-2)?
120
Let y(o) = 3*o**2 + 7*o - 3. Let d be y(3). Let v be (-8)/(40/215)*-1. Suppose v*i = d*i - 12. What is the smallest common multiple of i and 14?
42
Let x = 17359 + -6388117/368. Find the common denominator of -36 and x.
368
Let r = -14374 - -16686. What is the least common multiple of r and 5?
11560
Let x = -1922 + 5827/3. Let v = -19 - -23. Suppose 5*t = n + 2*n + 115, -2*n - v*t = 84. What is the common denominator of n and x?
3
Let y = 815/12 + -233/4. What is the common denominator of y and -11/680?
2040
Let j = -3323/4 - -825. Let a = 2515891/1997892 + -1/73996. Find the common denominator of j and a.
108
Let p(r) = 599*r. Let j be p(-2). Let u = j + 4817/4. Let i = -13314 - -505907/38. Calculate the common denominator of i and u.
76
Suppose 46*t = 43*t + 675. What is the smallest common multiple of (-2*t/20)/((-1)/4) and 99?
990
Suppose 5*m = 28047 + 61983. Let f = m - 720291/40. Find the common denominator of f and -37/12.
120
Suppose 0 = -2*t, -4*n - t = n - 5*t. Suppose n = 5*g - 52 + 17. What is the least common multiple of 142 and g?
994
Let p = 79331/12 - 6620. Calculate the common denominator of 87/7886 and p.
47316
Let u = -2723 - -3021. What is the least common multiple of u and 447?
894
Suppose 0 = 3*l - 3*i, -5*i = -2*l - 2*l - 2. What is the common denominator of (142/(-120))/(l - 15/6) and (238/36)/(3/(-9))?
30
Suppose -274 = 2*n + 2*y, 4*n + 387 = n + 3*y. Let a = -78 - n. Calculate the lowest common multiple of a and -3 + 1 + -545 + 552.
55
Let d = -90 + 91. Find the common denominator of -1*d/6*(-57 + -1) and (-584)/132 + 4/(-6).
33
Suppose 10 - 3 = 7*x. Calculate the common denominator of (x - 4)/(-1) + (-1211)/140 and (-105)/(-8) - (-2 - -4).
40
Let x = 9536439/148 - 64436. Find the common denominator of -145/4