Let k = -29091/6320 + 16/395. Calculate the common denominator of k and ((-1)/(-2))/((-16)/328).
16
Let r(s) = -577*s**2 + 4*s + 1. Let y be r(-2). Let k = -4986 - y. Let w = k + 10631/4. What is the common denominator of w and -93/110?
220
Suppose -18 = -3*i + t, 57*t + 32 = 4*i + 53*t. Calculate the lowest common multiple of 478 and i.
2390
Let a = -60 + -118. Find the common denominator of -47/30 and (20/(-60) - (-7)/24)*a.
60
Calculate the least common multiple of 339 and (2040/306)/(5/18).
2712
Let i(x) = x**3 + 38*x**2 + 36*x - 50. Let g be i(-37). Let d(h) = 3*h + 2. Let l be d(-2). What is the smallest common multiple of (0 + 38/l)/(g/26) and 2?
38
Let x be ((9/2)/(-3))/((-36)/(-17328)). Calculate the common denominator of 15 and ((1*3)/(57/x))/(-12).
6
Let h = -1861 - -2041. What is the smallest common multiple of h and 396?
1980
Let p(u) = -2*u + 15. Let i(s) = 2*s**2 - 15*s + 24. Let n be i(2). Calculate the lowest common multiple of 77 and p(n).
77
What is the smallest common multiple of 343 and (2 - -1370)*(-14)/((-112)/10)?
1715
Calculate the common denominator of (-10)/(-73)*(516/24)/(-43) and (-6 - -4)*(-106)/8.
146
Let n = 3/3562 + 81031/5343. Find the common denominator of -125/36 and n.
36
Suppose 4250 = 532*i - 525*i - 895. Calculate the lowest common multiple of 30 and i.
1470
Suppose 5*n + 9 - 39 = 0. Suppose -n = -5*p - 0*p - 4*x, -4*p + 13 = -5*x. Suppose d + d = p, 4*d - 166 = -3*u. What is the least common multiple of u and 16?
432
Let b = -271 + 387. Let h = -181 + b. Find the common denominator of 23/6 and (h + -9)*(-1)/(-82).
246
Suppose 7*m + 2025 = -8*m. Calculate the smallest common multiple of (1 + 11)*m/(-108) and 33.
165
Let g = -10423/314760 + -14/39345. Calculate the common denominator of -131/30 and g.
7320
Let c(q) = -1. Let m(z) = z - 9. Let r be ((-4)/10)/((-1)/((-15)/(-6))). Let f(o) = r*m(o) - c(o). What is the smallest common multiple of 9 and f(11)?
9
Suppose n = 4*n - 192. Let v = 984 + -1047. Let j = v + n. What is the smallest common multiple of 3 and j?
3
Let c(r) = 58*r + 9532. Calculate the least common multiple of c(-148) and 237.
948
Suppose -12*s + 20782 - 7645 = -10743. Calculate the least common multiple of 2786 and s.
13930
Let c = -234/19 + 55/114. Suppose -d - 138 = 5*k + 350, -2*k = -3*d - 1396. Find the common denominator of c and 54/351 - (-514)/d.
18
Let j(y) = 27*y**2 + 1. Let m(b) = -4*b - 33. Let q be m(-8). Let p be j(q). Suppose p = -4*w + 6*w. What is the lowest common multiple of w and 20?
140
Let c = 739/54 - 1371061/100170. Let i = -120599/11130 - c. Let o = 6/1475 - -86881/35400. Find the common denominator of o and i.
24
Suppose -2*y = 4*x - 2*x - 72, 2*y + x - 70 = 0. Calculate the least common multiple of y and (-22)/11*2/(-4).
34
Let d be 5 + (-6 + 8)*6/(-4). Suppose -40 = -3*n - 2*f, d*f + 2*f = -3*n + 50. What is the smallest common multiple of ((-2)/5)/(2/(-40)) and n?
40
Suppose 6 = 4*q - 26. Let a(r) = r**3 - 9*r**2 + 23*r + 44. What is the lowest common multiple of a(8) and q?
328
Suppose p + 1159 = 78*o - 76*o, 0 = 2*o + 3*p - 1163. What is the lowest common multiple of 40 and o?
1160
Calculate the common denominator of (-3)/95 + 0*11/(-66) and -29/11.
1045
Let k be (5/(-17))/(1/2). Let w = 97/153 - k. What is the common denominator of w and 2/(-12) - (-6 + 235/(-90))?
9
Let n be (10/(-1))/(1/794). Let t = 2217/13918 + -607995667/76549. Let x = t - n. What is the common denominator of -113/20 and x?
220
What is the common denominator of (-141)/(-329) + 148/(-140) and -97/1000?
7000
Let u(n) = -n**3 + 6*n**2 - 8*n + 3. Let i be u(4). Let z be i/1*(-2)/6. Calculate the lowest common multiple of 8 and (-23)/z + -2*6/4.
40
Let c = 120 - 10. Suppose 0 = -8*z + 10 + c. What is the lowest common multiple of z and 40?
120
Let n(c) = -15*c + 16. Let d be n(1). Suppose 4*i + 0*i = -4*u + 20, -4*i - 2*u + 28 = 0. Calculate the least common multiple of i and d - -1*(-2 - -19).
18
Let r be 4/22 + (-14864)/(-44). Let f = r + -332. Calculate the smallest common multiple of f and 4.
12
Let x = 1952179645 - 20743860924953/10626. Let b = -1/506 + x. Find the common denominator of b and -83/21.
21
Let g = 24460789/672 - 36400. Calculate the common denominator of g and -2/303.
67872
What is the common denominator of -71/459 and (-22)/(-517) + 11440/402696?
3213
Let q be (111928/(-160) - -7)*(-92)/(-6). Let d = q + 10630. What is the common denominator of -31/106 and d?
530
Suppose -s + 3 + 0 = 0. Suppose 2*n + 0*o + s*o - 40 = 0, 2 = -o. What is the least common multiple of 4 and n?
92
Calculate the smallest common multiple of 3487 and 119826/(-29 + 8)*2/(-3).
41844
Let m(c) = -c**3 - 11*c**2 - 11*c - 1. Let r be m(-10). Suppose 0*b - 108 = -r*b. Let v = b + 18. Calculate the smallest common multiple of v and 18.
90
Suppose -19*g = -1516 - 954. What is the lowest common multiple of 195 and g?
390
Let v = -85873/5284 + 2/1321. Calculate the common denominator of v and 29/715.
2860
Find the common denominator of 10*(-303)/(-924) + 1 + -4 and -137/126.
1386
Let t = -472 - -856. What is the lowest common multiple of 52 and t?
4992
Suppose 53*d - 140 = 57*d. Calculate the common denominator of 3*(-8)/(-25)*5 and d.
5
Calculate the common denominator of (-7)/91 + (3651/(-342))/(273/3) and -67/532.
1596
Let v = -3754687427/5340 - -703125. Find the common denominator of v and -67/4272.
21360
Let b = 45/2834 - -83467/187044. Find the common denominator of (-1785)/504 + 18/24 and b.
264
Let h = -763/5 + 5066/35. Let w = -3/10066 - -352439/432838. Calculate the common denominator of w and h.
301
Let r(d) = -d**3 + 13*d**2 + 26*d + 30. Let k be r(14). Suppose -5*j + 3*n + 102 = -129, 4*j - k = -2*n. Calculate the smallest common multiple of 1 and j.
48
Suppose -88 = h + 5*n, n + 166 = -2*h - 4*n. Let c = -58 - h. Suppose -24*q + c*q = -80. What is the least common multiple of 60 and q?
60
Suppose y = -3*t - 611 + 1268, -2*y - 4*t + 1332 = 0. Calculate the least common multiple of y and 152.
1368
Let m = 751064737/3060 - 245446. What is the common denominator of m and -113/60?
3060
Let t(u) = 3*u + 65. Let x be t(-18). Calculate the lowest common multiple of ((-30)/1)/(-4 + x + -9) and 8.
120
What is the common denominator of (-27777)/8668 + (-15)/(-6) and -14/803?
3212
Suppose 0 = -2*u - 5*s + 191, 56*u - 2*s - 550 = 51*u. What is the least common multiple of 324 and u?
324
What is the common denominator of 25/1776 and (-16)/6 - 210793/(-78144)?
7104
Let z be (-10)/1912*(46258/(-215) - -4). Let y = -378400/355393 + 650/1487. Let u = y + z. Find the common denominator of -65/14 and u.
602
Let h(y) = y**3 - 18*y**2 + 17*y + 7. Let m be h(17). Suppose -m + 2 = -t. Suppose -160 = -t*u - 10. Calculate the lowest common multiple of 9 and u.
90
Suppose 3*s = 5*x + s - 278, -3*s + 171 = 3*x. Suppose 0 = -v - 17 + 45. Let h = v + -26. What is the lowest common multiple of h and x?
56
Let j be (6/9)/((-4)/(-36)). Suppose 0 = j*m - 223 - 65. Calculate the smallest common multiple of m and 48.
48
What is the smallest common multiple of -2 + 9 + (-12)/10 + (-91176)/(-30) and 90?
18270
Let i = 21 - 13. Let m = -2045/6 - -335. Find the common denominator of m and 454/(-120) + 5/30*i.
60
Let g be -4 - -1 - 0 - (-14346)/10. Let o = -1425 + g. What is the common denominator of o and -14/27?
135
Calculate the common denominator of -21/200 and (-56145)/3720 + 15*1.
6200
Calculate the least common multiple of (-359)/(-7) + (316/(-28) - -11) and 148.
7548
Let b = 3689/426 - 668063/77248. Calculate the common denominator of b and -1/44.
35904
Let q be 259 + -1 + (-5)/(85/102). Suppose -212*g = -205*g - q. What is the least common multiple of 96 and g?
288
Suppose 2*q - 52 = 4*q. Calculate the common denominator of (85/q)/(2 + 0 + -1) and (1/(-2))/((-6)/14).
78
Let p be 102/14 + (-3 - (-38)/14). Let u be ((-4)/(-7))/(2/p). Suppose a - 3*f + 5 = 0, 0*a - 4*f = -2*a - u. What is the smallest common multiple of 11 and a?
77
Calculate the common denominator of 59/3 and 426/(-568)*188/(-3).
3
Let u(d) = -3*d + 1. Let h(y) = 2*y - 1. Let f(j) = -4*h(j) - 3*u(j). What is the least common multiple of 10 and f(9)?
10
Let u(x) = 5 - 2*x + 3 - 3*x + 32*x**2 - 4 + 8*x. Calculate the smallest common multiple of 195 and u(-1