the lowest common multiple of (7/x)/((-9)/6)*36 and 6.
12
Let x(p) = 347*p - 2399. Calculate the lowest common multiple of x(7) and 603.
6030
Let k = -214384171/5005 - -42834. Find the common denominator of k and -64/35.
5005
Suppose 0 = a - 8 - 4. Let l = 11/25 - 388/75. Calculate the common denominator of l and 2402/420 - a/42.
30
Let q = 4013 + -3989. What is the smallest common multiple of q and 5844?
11688
Suppose -1 = -f - 3*w - 11, 0 = 5*f + 3*w + 62. Suppose -3*t = -2*m - 14, 2*m + 18 = 3*t + t. What is the lowest common multiple of t and (-117)/f - 4/(-1)?
52
Suppose 3*h - 516 = -2*i, 4*h - 4*i - 475 - 173 = 0. What is the smallest common multiple of h and 1680?
1680
Let z = -31529/6 - -5268. Let u be (-6)/33 - (-4)/22. What is the common denominator of (u + 1/2)*-87 and z?
6
Let d(r) = 505*r - 13986. Calculate the smallest common multiple of 8 and d(44).
32936
Let c(k) = 105*k + 678. What is the least common multiple of c(-5) and 425?
3825
Let l(v) = -v + 7. Let d be l(4). Suppose -6 = 2*i - i - d*h, -4*h = 8. What is the common denominator of -109/18 and (-51)/4 - 36/i?
36
Let s = -4 - -6. Let n be 1/3*-14 - 18/(-27). What is the lowest common multiple of n/10*-5 - -2 and s?
4
Let t = -91 - -107. Let i = -40 + 114. Suppose -5*s + 6 + i = 0. What is the least common multiple of s and t?
16
Suppose 2*k - 93 = 51. Suppose 48*d - 32*d = -62*d + 1248. What is the least common multiple of d and k?
144
Suppose -509 = -16*h - 17*h + 3352. Let k = 84 - 48. Calculate the least common multiple of h and k.
468
Let o = 44349/10 - 4446. Calculate the common denominator of 13/131 and o.
1310
Suppose 118 = -5*j + 1188. Let c = j - 213. What is the smallest common multiple of 165 and c?
165
Suppose 45*j = -209 + 29. What is the least common multiple of (-525)/(-12) + j/(-16) and 88?
88
Suppose 15*h - 17 = 14*h + 4*w, -5*w - 10 = 0. Suppose a - 3*l - h = 0, 36 = a + 3*a + l. What is the smallest common multiple of a and 9?
9
Suppose 3*a - 31 = -t, -3*a + 3*t + 6 = -9. Let p = a - 6. Suppose 5*n = p*n + 6. What is the smallest common multiple of 2 and n?
6
Suppose 3 = -u, -u + 0*u + 15 = a. Let j = -80 + 81. What is the smallest common multiple of a and (j/2)/(-1 + (-36)/(-32))?
36
Let u = 140895 - 140893. What is the least common multiple of u and 0 + (0 - 36/(-1))?
36
Let n be ((-12910)/56)/(-9 + 170/20). Let v be 463 + -2*2/4. Let w = n - v. Find the common denominator of w and -23/4.
28
Let v = 8282 - 16511/2. Calculate the common denominator of 18/761 and v.
1522
Suppose 42 + 14 = 2*o. Suppose 0 = 35*s - 31*s - 16. Calculate the least common multiple of s and o.
28
Suppose -19*m + 24 + 261 = 0. Suppose -2*z = o - m, 2*o - 5*z - 4 = 35. Calculate the smallest common multiple of 4/(-10) - 74/(-10) and o.
119
Let d(q) = -2*q + 25. Let x be d(14). Let a be (x + 4)/((-1)/1027). What is the common denominator of a/26 - (1 - 1) and -26/7?
14
Let a = -417/4550 + -27/182. Calculate the common denominator of -1 + 2 + (-132)/50 and a.
25
Calculate the common denominator of 13/4724 and 7 + (-525)/(-14) + (-5 - 1).
4724
Let j = 24761768/441 + -56149. Find the common denominator of 23/10 and j.
4410
Let q = 153 - 143. Let k(w) = 28*w**2 + w - 2. Let u be k(2). Suppose -20 = -u*l + 108*l. Calculate the least common multiple of l and q.
10
Let a = -41907/7294 - 21/521. Let v be (428/48)/((-8)/(-16)). Let k = -73/3 + v. Find the common denominator of k and a.
14
Suppose -322 = -2*g + b, 3*g + b - 26 = 457. Let j = g - 155. What is the smallest common multiple of j and 1 - 2 - (-22 - 1)?
66
Let n be 1/(-1) - (-7)/((-2352)/(-8610184)). Let l = 25623 - n. What is the common denominator of -60/119 and l?
714
Let u = 1801 + -1751. Suppose -5 = -k + i, -25 = -k - 4*k - 4*i. What is the least common multiple of u and k?
50
Let o = 30 - 10. Let p(z) = -z**2 - 8*z - 10. Let h be p(-7). Calculate the lowest common multiple of h + 2 + -4 + 7 and o.
20
Suppose -4*u = -4*t - 144, 4*u + 5*t - 130 = 2*t. Suppose 2*g - 14 = u. What is the lowest common multiple of (g/(-20) - 0)*-5 and 22?
66
Suppose 0 = 5*t - 425 - 2035. Calculate the smallest common multiple of t and 738.
1476
Let d = 21563 + -21482. What is the smallest common multiple of 144 and d?
1296
Suppose 5*y - 10*y + 324 = 3*q, 204 = 3*y - 3*q. Let g = y + -1388/21. Calculate the common denominator of g and -49/27.
189
What is the common denominator of 57/28 and 856/160*8/(-34)*25/(-340)?
8092
Suppose -14*d + 11*d - 4122 = 0. Let o be (20155/132)/((-1)/(-9)). Let s = d + o. What is the common denominator of s and 41/12?
132
Let i = 370 - 361. Calculate the common denominator of 71/9 - 6/(-27) and (54/4)/i*23.
18
Let b be ((-1)/(-2))/(5/(-40)). Calculate the lowest common multiple of (1/(-1))/(b/128) and 56.
224
Suppose 20*u - 26*u = -27*u + 2184. Calculate the least common multiple of u and ((-52)/5)/((-4)/20).
104
Suppose 77 = 22*o - 11. Suppose -j + 3*u = -32, 4*j = -o*u + 35 + 93. What is the smallest common multiple of j and 24?
96
Let b(w) = w**3 + 3*w**2 - 10*w - 10. Suppose -31*a + 6*a - 100 = 0. What is the least common multiple of 7 and b(a)?
14
Let s(l) = 48*l + 32. Let v be s(9). What is the common denominator of 149/18 and ((-924)/v)/((-3)/2)?
522
Let d be -2 + (4 - 1) + 11. Let o = d - -8. Calculate the lowest common multiple of o and 20.
20
Let u = 57 - 57. Let o be (u - -1)*(-8817 - -1). What is the common denominator of (-8)/(-10) + o/1120 and 31/7?
14
Let f(w) = 55*w**3 + 2*w - 2. Let t(b) = -b**2 - 18*b - 45. Calculate the smallest common multiple of f(1) and t(-14).
55
Let w be 1476/(-10) - 6*(-5)/(-75). Let n = w - -156. Calculate the smallest common multiple of (-4 + 2)/4*-128 and n.
64
Let p = -53/352 + -6881/1056. What is the common denominator of p and 21/149?
447
Let u(b) = -4*b**3 - b**2 - b + 2. Let g(a) = -9*a - 115. Suppose 111 + 24 = -9*x. Calculate the least common multiple of g(x) and u(-2).
160
Suppose 7*i - 6*i - 18 = 0. Suppose -2*m + 78 = -n, -5*n + n = 5*m + 364. Let q = n + 116. What is the lowest common multiple of q and i?
90
Suppose -5*q = 3*x - 5*x - 4, 4*q = 2*x + 2. Let k be ((-15)/(-6))/((-3)/6). Let z(o) = 3*o**2 + 16*o + 6. Calculate the least common multiple of z(k) and q.
2
Calculate the least common multiple of 302 and 158 - (3 - -13) - -9.
302
Suppose 5*j + 3 + 16 = 3*p, 4*j = 4. Let u be 44/6 + p/(-6). Find the common denominator of 0/u - (-83)/(-22) and -1/2.
22
Calculate the least common multiple of 100 and (-1 + 1 + -8 + 3)/((-17)/272).
400
Suppose 2*r - 3 = 17. Suppose -45 = 95*j - 571 - 234. What is the lowest common multiple of j and r?
40
Let r be (289/(-129) - -1) + 2*1. Let q = 15731/5934 - r. Let h = q + 208/115. Calculate the common denominator of h and 25/6.
30
Suppose 0 = -2*j + 6*j - 72. What is the smallest common multiple of 37/5 - (-8 - -9)*36/90 and j?
126
Let d(n) = -n**3 - 6*n**2 - n - 3. Let r = 1719 - 738. Let f = -954 + r. What is the least common multiple of f and d(-6)?
27
Let o = 128683/221038 + -123/206. What is the common denominator of 89/4 and o?
4292
Suppose -2*o - 220 = -4*n, -2*o + 4*o - 3*n + 222 = 0. Calculate the least common multiple of 8 and o/(-7) - (44/(-77))/(-2).
16
Let j = 3 - 83. What is the lowest common multiple of 4 and (-16)/j + (-2 - 429/(-5))?
84
Let r = 376 + -277. Suppose -9*t = -6*t - r. Calculate the least common multiple of 12 and t.
132
Suppose 9*a + 45 + 0 = 0. What is the common denominator of 2/a*483/56 and -75/22?
220
Suppose 56816 = 14*z + 21312. Calculate the lowest common multiple of 5 and z.
12680
Let c = 1222 + -687. Let i = c + -19. What is the smallest common multiple of i and 6?
516
Suppose 0*y = 2*y - 32. Let t = -12 + y. Suppose -3*q - 36 = -t*x + 10, -x = -3*q - 16. What is the least common multiple of x and 16?
80
Let t(c) = 6*c**3 - 7*c**2 + c + 6. Let s be t(2). Suppose 60 = -s*w + 31*w. Calculate the smallest common multiple of w and 8.
40
Suppose 10*v + 1891 = -117379. Let o = v + 119369/10. Calculate the common denominator of 11 and o.
10
Let b be (-3)/(-5703)*(-2 - 1469). Let i = -424289169/30416 + b. Let q = 13956 + i. What is the common denominator of 49/16 and q?
16
Suppose -429 + 1436 = 53*j. Let s(c) = -59*c + 5. Let b be s(-4). Suppose -b = -5*y + j. Calculate the least common mul