
15
Let q = -327939 + 64932079/198. What is the common denominator of q and 13/231?
1386
Calculate the common denominator of ((-650)/(-15000))/(-2 - (-132)/63) and 167/300.
600
Suppose 0 = p - 936 + 468 + 457. What is the smallest common multiple of 8 and p?
88
Let y = 2385/8 - 88199/312. Let p be (2/(-90))/((-520)/(-381324)). Let t = p + y. Find the common denominator of -62/25 and t.
50
Suppose -7 = 5*f - 17. Calculate the lowest common multiple of f and 3/(-2)*(2 - (-710)/(-15)).
68
Let o be ((-7)/(-5))/(5508/120). Let u = -20767/3672 + o. What is the common denominator of u and 45/58?
232
Let r = -204 + 227. Let c = -5 + 17. What is the smallest common multiple of c and (-2)/(-6) + r/3?
24
Suppose 0 = 4*b - 5*i + 24, 3*b + 0*b = -2*i + 5. Find the common denominator of (1/2)/(1/49) and -1 - (-39)/21 - b.
14
Let w be (1/2)/(5/(-30)). What is the common denominator of 23/18 and 226/528 - w*7/56?
198
Let b be (1 + -4)/(1 - 2). Suppose 11 = -4*s + 3*p, s + 2 = b*p - 2*p. Find the common denominator of 49/34 and s.
34
Let p(h) = 285*h - 1665. Calculate the least common multiple of p(6) and 290.
2610
Suppose 169 + 441 + 104 = 2*c. What is the lowest common multiple of 510 and c?
3570
Let i = -2084989/42 - -49640. Calculate the common denominator of i and 20/14*(-12)/(-35).
294
Suppose -2*f - f - 214 = 4*n, -5*f - 3*n = 375. Let v = 51 + f. Let s = v - -41. What is the smallest common multiple of 10 and s?
70
Suppose -179 = v - 5*y + 23, y = 5*v + 962. Find the common denominator of 5/7 and -2 + (3 - (-44)/v).
336
What is the least common multiple of 5075 and 98/(-182)*18/(-63) - (-94246)/26?
25375
Suppose -5*b = -4*p - 3506, -327*b - p = -324*b - 2107. Calculate the least common multiple of b and 90.
3510
Let o(m) = -m**2 - 14*m + 12. Let d be o(-9). Suppose -5*v + d = -3*z, 36 + 4 = 4*v - z. Calculate the smallest common multiple of v and 6/(-14) + 240/21.
99
Let y = -182 - 30. What is the lowest common multiple of (-3)/18 + 15*y/(-72) and (4 - -4)*2*1?
176
Let t be 4/(-6) - ((-3700)/(-15))/(-10). Find the common denominator of (342/t)/(3/10) and (-90)/11*1/16*4.
22
Suppose -4*z + 212 = -2*z. What is the lowest common multiple of z and (-42)/(-112) - (-1269)/72?
954
Let v = 12 + -5. Let n be -4*(-2)/(-12)*-3. Suppose i - 12 = -2*i - 3*r, -r = n. Calculate the least common multiple of v and i.
42
Let f = 35/56678 + 783628873/1870374. Let q = -419 + f. Find the common denominator of q and 730/(-4)*365/5475.
66
Suppose -38693 = -12*k + 1339. What is the smallest common multiple of 6 and k?
3336
Let h(z) = 129*z - 892. Calculate the smallest common multiple of h(7) and 83.
913
Let b = -20032471/536 - -37374. Let i = 15663/9112 + b. Let y = -87/238 - i. What is the common denominator of y and -27/10?
70
Suppose -3564 = 105*x - 42204. Calculate the smallest common multiple of x and 92.
368
Let h = 583 - 197. What is the common denominator of (-1 - 0) + -4 + h/48 and 10*(0 + 4/(-84))?
168
Suppose -18*r = -34*r - 45536. Let f = r + 31329/11. Find the common denominator of f and (-3 + (-462)/(-153))/(-1)*3.
187
Let d(f) = f - 22. Let m be d(-8). Let v be (-50)/m + (-3)/(-9). Calculate the lowest common multiple of 20 and -5 + v/((-10)/(-465)).
440
Let n = 1015/1258167 + -1/579. Let l = n - 30416/6519. Calculate the common denominator of l and ((-201)/138 + 1)*4.
69
What is the least common multiple of -5 + 581/119 + 1481/17 and (25 - 17)/((-6)/(-27))?
1044
Suppose 76*a = 14*a + 11904. Calculate the lowest common multiple of 864 and a.
1728
What is the common denominator of (-1 + -1 - (-474)/72) + -5 and 91/2066?
12396
Suppose -74229 + 18753 = -9*b. Let d be (-1)/2 - ((-31140)/b - -8). Let i = d + 148/67. What is the common denominator of 73/22 and i?
506
Let n(x) = -x**2 + 5*x - 6. Let f be n(5). Calculate the common denominator of (4/(f - -38))/(9/(-726)) and -43/274.
1644
What is the smallest common multiple of 12 and (-30)/(-3) - (19 + -1560)?
6204
Suppose 14*y - 1034 = 912. Let t = 199 - y. Suppose 2*k = 8*k - t. Calculate the least common multiple of 10 and k.
10
Let m(x) = -25*x + 580. Calculate the lowest common multiple of 803 and m(-6).
8030
Let o(f) = -4*f + 66. Let z be o(-6). Let p = 92 - z. Find the common denominator of (4/(-128))/(p/(-92)) and -41/10.
80
Suppose -39*f + 38*f - 5*x = 15, -3*f + 4*x = 7. What is the common denominator of f/3 + (-1490)/(-2100) and 101/2?
70
Let b = 3683/4919249 - -624268204429/169832152476. Let c = b - -5/2466. Find the common denominator of c and -41/12.
84
Let k be 5/(-2025)*8799*1/(-5). Let d = k - 179/25. Let t = 2162/5 - 58519/135. Find the common denominator of t and d.
27
Let n(k) = k**3 + 9*k**2 - 5*k + 19. Let s be (-72)/16*(-2)/(-1). Calculate the lowest common multiple of 56 and n(s).
448
Calculate the common denominator of -11/13 and 1/(-4) + 712/979.
572
Let v be (-12)/(-2)*(-1)/(-3). Let p be (-3 + v)/(-3 + 4). Calculate the common denominator of (p - (-148)/14)/(6/3) and -1/8.
56
Let k = 1122928 - 5911655578930/5264501. Let n = 10302628309/389573074 - k. Let m = -35/37 + n. Calculate the common denominator of 3 and m.
2
Let o(k) = -2*k. What is the lowest common multiple of (((-1386)/(-35))/(-18))/((-2)/30) and o(-3)?
66
Let x = 2293 - 1871089/816. Let g be (1/72)/(34/(-29985)). Let o = x + g. What is the common denominator of o and -48/5?
20
Suppose 2*q + 8 = 0, 3*p + 0*p + q = -31. Suppose 5*d - 9 + 4 = 0. What is the lowest common multiple of d and (p/(-27))/((-2)/(-30))?
5
Let b(k) = 4*k**2 - 313*k + 601. What is the smallest common multiple of 144 and b(77)?
432
What is the common denominator of 4/8*(7 - 14938/1988) and -85/44?
3124
Suppose 16*n + 1198 = 8716 + 2018. Calculate the smallest common multiple of 176 and n.
26224
Let j = 8819633/162 - 54442. What is the common denominator of 17/81 and j?
162
Let t = 194535 + -194487. Suppose -51 = -f - 6*o + 3*o, 4*f - 231 = -3*o. Calculate the smallest common multiple of f and t.
240
Suppose -5*s + 8 = -3*g, 2*g = s + s. What is the least common multiple of 21 and g*(-105)/(-20)*8/12?
42
Let a = -43 - -79. Suppose 2*t = 8*t - a. What is the smallest common multiple of 42 and t?
42
Let n = 10 + -8. Suppose -3*z = -5*q + 558, 14*z = -3*q + 17*z + 330. Calculate the smallest common multiple of n and q.
114
Suppose -5*i - 48*h + 736 = -47*h, 5*h + 583 = 4*i. What is the common denominator of -52/9 and (-2 + i/78)*12?
117
Let c be -4 + 2/(-5)*(-2465)/34. Suppose -5*k + k + 123 = -g, 0 = 5*g - c. Calculate the smallest common multiple of k and 8.
32
What is the common denominator of (110/35)/11 - (-6)/((-875700)/37115) and 77/10?
4170
Let i(b) = -20*b + 5*b + 4*b - 49 + 5*b - b. What is the lowest common multiple of 402 and i(-8)?
2814
Let i(c) = c**3 - 13*c**2 - 14*c - 231. Calculate the smallest common multiple of i(15) and 33.
99
Suppose -v - 2*v = -26682. Let m = -213413/24 + v. Let q = -137608/3 - -45876. What is the common denominator of q and m?
24
Suppose -2*y + 4*k - 19832 = 3*y, 3*y = -3*k - 11883. Let n = y + 2686. Let t = n - -15301/12. Calculate the common denominator of 69/14 and t.
84
Let z(n) = -7*n + 25*n - 89 + 350 + 33*n. Suppose 3*u + 4*b + 5 + 3 = 0, 5*u - 35 = 3*b. What is the smallest common multiple of z(-5) and u?
12
Let c = 57600/338239 + -167/951. Calculate the common denominator of -23/77 and c.
22407
Let k = 19253/8 - 2410. Find the common denominator of k and -17/6.
24
Let q(p) = -5581*p - 3. Let b(x) = x**2 - 8*x - 23. Let k be b(10). Let l be q(k). Let j = l - 502013/30. Find the common denominator of -63/4 and j.
60
Let w be 3/3*85/(-17). Calculate the common denominator of 1/(-3)*(-10)/3 and w + -16*2/(-3).
9
Suppose k = 4*a + 1907 - 1929, 5*a - 22 = 4*k. Suppose 3*f - 6*f - 36 = 0. Let c = 28 + f. What is the least common multiple of k and c?
16
Calculate the common denominator of -107/4260 and (-61)/(1159/(-190)) + (-1677)/180.
4260
Let y(d) = 4*d - 2. Let g be y(1). Suppose 5*w + 11 = 2*t, 3*t - 59 = 2*w - 3*w. What is the lowest common multiple of 2*(g - 0) - 3 and t?
18
Let t(g) = 216*g**3 - 3*g**2 + 11*g - 11. Calculate the smallest common multiple of 471 and t(2).
5181
Suppose -2*j - 3*j = 350. Let o = j - -108. Let c(i) = i**3 - 25*i**2 + 148*i - 14. Calculate the lowest common multiple of o and c(9).
