e (-24)/(-15)*(-225)/(-18). Let h be ((-40)/(-25))/((-1)/f). Find the common denominator of ((-6)/h)/(6*6/(-1320)) and -25.
8
What is the common denominator of 59/((-4)/6 + 6357/(-117)) and (-33)/(-440)*122/(-3)?
220
Let j(r) = r**2 - r - 2. What is the lowest common multiple of j(-6) and 23345/4060 - (-2)/(24/15)?
280
Let f be (-372462)/621 - 2/9. Let y = f - -654. What is the least common multiple of 27 and y?
54
Suppose -4*c = -2*c - 26. Let v(d) = d**2 - 14*d - 23. Let j be v(c). Find the common denominator of (-2)/18 - (-246)/j and 41/33.
198
Let m = -272 + 286. Calculate the common denominator of (m/(-3))/((-240)/(-54)) and 47/72.
360
Let x(z) = -z**2 + 5*z + 75. Let g = -591 - -591. What is the lowest common multiple of x(g) and 10?
150
Suppose 0 = 5*y - 1153 + 353. Suppose -2*o + 7*o - y = 0. Suppose 3*p - 6 = 0, 5*b - 56 - o = p. Calculate the smallest common multiple of b and 12.
36
Suppose -11*f = -0*f - 2*f. Suppose f = -2*l - 17 + 25. What is the smallest common multiple of l and 6*(-2 + 20/6)?
8
Let h = -297/710 - -126427/316660. Find the common denominator of -11/16 and h.
3568
Let w(z) = -z**3 + 83*z**2 - 82*z + 321. Calculate the least common multiple of w(82) and 1.
321
Let j be (-6 + 5)/(3/72). Find the common denominator of 89/6 and 437/(-80) - j/(-40).
48
Suppose -2*w = 2*w. Let q be 21623/(-21)*(3 + -2 + w). Let v = -1017 - q. Calculate the common denominator of v and -32/45.
45
Let z = 136 + -338. Let q = -184 - z. Let r = 44 - 11. Calculate the least common multiple of r and q.
198
Suppose 51*r - 11971 = -1414. Calculate the lowest common multiple of 575 and r.
5175
Let h be 2*((-25)/10 + 1 + 1). Let f be h/((-10)/88327) + (-4)/(-6). Let k = 8837 - f. Find the common denominator of 25/18 and k.
90
Calculate the common denominator of 73/336 and 8/140*7 + (-438)/(-280).
336
Let w be 7/((-14)/964) + -6 + 8. Calculate the common denominator of -1*1 - -5 - (-1010)/w and 103/14.
336
Let c = 6913 - 5807. Calculate the smallest common multiple of 10 and c.
5530
Let w be (-1 + (-3)/(-12))*3/(-14337). Let v = w + -27647/223020. What is the common denominator of v and 74/39?
1365
Calculate the common denominator of 97/1000 and ((-1235)/(-1216))/(2 - (-1 + (-1 - -3))).
8000
Let o = -503563/3658536 + 195/6664. Calculate the common denominator of o and 5/3.
1098
Let y = 23998 + -1631919/68. Let h(o) = -5*o**2 - 21*o. Let f be h(-4). What is the common denominator of 2*f/24 - (-788)/192 and y?
272
Suppose 2*a + 4*h = a + 11, -2*h - 26 = -4*a. Suppose a*d - 1556 = 600. Calculate the least common multiple of d and 2.
308
Suppose 11*t + 27 + 72 = 0. Find the common denominator of 9/5 and (123/(-28))/(7*t/8).
735
Let m be -68086*(-5)/(-53400) - (-4)/(-10). Let u = m - -468/89. Find the common denominator of u and -77/54.
540
Suppose 4*s - 9*s - 102 = -a, 4*s = 3*a - 75. Calculate the common denominator of s/27*(-3)/2 and 25/9.
18
Suppose -36*c + 20*c = -1670592. Let o = 18794069/180 - c. What is the common denominator of o and -109/44?
1980
Calculate the common denominator of 7/288 and (-577)/192 - 40/(-16).
576
Find the common denominator of 133/120 and (-2275)/(-42)*(2/5 - 12/40).
120
Let f = -16483/12 - -1376. Find the common denominator of f and -1604*(-30)/(-34272) + (-6)/(-63).
204
Let v = -1137 - -1719. Let g = v + -579. What is the smallest common multiple of g and 8?
24
Calculate the common denominator of -143/6 and (-20536)/(-9888) + 10 + -12.
1236
Let p(g) = -10*g + 1. Let d(f) = 11*f - 1. Let w(b) = -5*d(b) - 6*p(b). Let i be w(3). Suppose -i*k + 360 = -4. What is the lowest common multiple of 4 and k?
52
Let u = 47/303 - 1585087/606. Let m = 2664 + u. Find the common denominator of 210/63*5/2 and m.
6
Let s = 77 - 107. Find the common denominator of 19/70 and s/(-21) - (-8)/4.
70
What is the common denominator of (-46152)/111180 - ((-52)/(-20) + -3) and 18/629?
68561
Let c(l) = -15*l - 19. Let r be c(-5). Find the common denominator of 2/8*((-792)/r - -8) and -37/12.
84
Suppose -740 = 5*o + 5*w, -2*w - 306 = 3*o + 134. Calculate the common denominator of 0 - (-766)/120 - o/(-192) and 103/24.
120
Let m = 442 + -452. Suppose 132 = -3*v + v. Find the common denominator of m/30 - v/(-4) and -45/16.
48
Let z = -1645 - -1669. Calculate the smallest common multiple of z and 492.
984
Let y be (-2)/(-6) - (4 - (-2156)/(-21)). Let l = y - 81. Suppose -5*u + 351 = 111. What is the least common multiple of l and u?
144
Suppose 42*f - 38*f - 532 = 0. Suppose 4*x - 4*g - f = 55, 0 = 5*x + 4*g - 217. Calculate the smallest common multiple of x and 54.
270
Let p = 7335 - 7043. What is the least common multiple of 60 and p?
4380
Let m(v) = 2*v + 22. Let s be m(-14). Let i = -1261 + 1279. Calculate the lowest common multiple of (-90)/(-4) + (-9)/s and i.
72
Let d = -1053673/40 + 26342. Find the common denominator of -113/1512 and d.
7560
Suppose 6066*o - 6062*o - 32 = 0. Let z be (-4)/26 + (-56)/(-26). What is the smallest common multiple of z - (-3)/(3/20) and o?
88
Let q = 4292 - 4288. Calculate the smallest common multiple of q and -1*(-7 - (-1 - 1)).
20
What is the common denominator of 0/2 + (139/48 - 0) and ((-10)/(-270))/(8/(-448))?
432
Suppose 0 = 53*j - 29*j + 12912. What is the lowest common multiple of 1 and j/(-6) + (138/(-18) - -7)?
89
Suppose 5*r - 367 = r + 3*z, 5*z = -5. Let v = -81 + r. Calculate the least common multiple of 25 and v.
50
Suppose 0 = -3*j + 7*j - 5*c - 1037, 2*c + 1022 = 4*j. What is the least common multiple of j and 69?
759
Calculate the common denominator of 29/50 and -21 + 105049/9590 + 10.
6850
Let f = -35 - -18. Let x = -28 - f. Let h(z) = z + 19. Calculate the least common multiple of h(x) and 12.
24
Calculate the lowest common multiple of (24 - (-1360)/(-60)) + -1*2/6 and (-41671)/(-105) + 2/15.
397
Suppose 2*v + 8*d - 2 = 6*d, 0 = -d - 4. Let l(p) = 19*p + 32. Let k be l(v). Suppose 4*b - k = 341. What is the least common multiple of b and 8?
936
What is the smallest common multiple of 117 and 4664/40 - 12/(-30)?
117
Calculate the common denominator of 845/(-1014) - 47/(-3) and 3/(-6) + (-95)/115.
138
What is the common denominator of 11/1195 and 197/((456/(-532))/((-8)/1673)) + -1?
3585
Suppose 3*r = -g + 513, -3*g + 9*r = 12*r - 1545. Calculate the least common multiple of 86 and g.
516
Let z = -161 - -168. Find the common denominator of -68/55 and 243/30 - (z - 8).
110
Let y = 7501 + -6285. What is the least common multiple of 456 and y?
3648
Let r = 5 + 19. Suppose 0 = -113*c + 4043 + 477. Calculate the lowest common multiple of r and c.
120
Let u(s) = -s**2 + 11*s - 1. Let j be u(12). Calculate the least common multiple of ((0 - j) + -3)*2/2 and 16.
80
Let k(u) = u**3 + u + 10. Suppose 4*n - 2*l - 52 = 0, 65 = -4*n + 9*n + 5*l. Suppose 0 = n*s + 3*s - 160. Calculate the lowest common multiple of k(0) and s.
10
Suppose 51 = 10*u + 21. Let b = -138 - -244. Suppose 3*n = -2*c + 166, n = 3*n - c - b. What is the smallest common multiple of n and u?
54
Let x(t) = t**3 - 5*t**2 + 5*t - 16. What is the least common multiple of 1269 and x(5)?
1269
Suppose 3*g + 93*z - 95*z = -10, -2*g + 36 = 4*z. Let t = -18 + 257. Calculate the least common multiple of g and t.
478
Let n(d) = 5*d**2 - 4*d + 1. Let g be n(2). Let p(m) = m - 2. Suppose 21*x + 3*j = 18*x + 42, 3*x - 38 = -2*j. What is the lowest common multiple of x and p(g)?
110
Let v = -3058739/18 - -169928. Let i be ((-1073)/(-3))/(6/(-104)). Let u = i + 6192. Find the common denominator of u and v.
18
Let z = 170 + -164. Calculate the smallest common multiple of 89/13 + z/39 and 4.
28
Let m(a) = -a**3 - 8*a**2 - 14*a - 8. Let s be m(-6). Suppose -b + 2 + 1 = y, -b - 2 = -s*y. What is the least common multiple of 14 and y?
14
Let w = -1175 - -4735/4. Find the common denominator of w and 1/9*15/17.
204
Let b = -331 - -271. Let r = b - -129/2. Calculate the common denominator of (-2)/6*(-462)/(-20) and r.
10
Suppose -5*g + 2*n - 7*n = -455, 3*g - 4*n = 308. Suppose -5*a + 185 = -55. What is the smallest common multiple of a and g?
96
Let b(y) = 20*y**2 - 76*y - 4. Let h be (13 - (-3 - -1)) + 0. Suppose -2*d + h = -r, -3*d + 31 - 10 = -r. Calculate the least common multiple of b(4) and d.
12
Calculate the lowest common multiple of (-11)/(15 + -26)*2376