Let a = 21 - n. Calculate the least common multiple of a and m.
40
Find the common denominator of -43/10 and (-5)/(-40)*0 + 340/32664.
40830
Calculate the common denominator of -41/490 and ((-11)/6)/(312/(-1768)) + -6.
4410
Let h = -381/4 - -3299/36. Let p = -190781/17610 - -1/2935. What is the common denominator of h and p?
18
Let s = -568 + 572. Calculate the least common multiple of 112 and (96/(-14))/((-6)/168*s).
336
Let t be (32/48)/((-2)/(-957)). Let m be (-3)/(-5)*(-3148)/6. Let w = t + m. What is the common denominator of 5/8 and w?
40
Let a be (-43)/(-301) + (-3285278)/(-9828). Let m = -4340/13 + a. What is the common denominator of 47/12 and m?
108
Suppose 42 = 2*v + 3*l - 1, -v = -2*l - 25. Suppose -d = -3*j - 6, -2*j = d - 2 - 4. What is the lowest common multiple of (-4*(-18)/(-40))/(d/(-20)) and v?
138
Suppose 1 - 17 = 4*z, z + 2284 = u. Suppose -2*b + 1004 = -u. Calculate the common denominator of -27/22 and 4/(-14) - b/280.
220
What is the common denominator of -31/63 and (-1408)/20416 + (-5147)/(-51504)?
37296
What is the common denominator of 45/37 and 87 + -78 - 107/4?
148
Let l = -24581 - -884779/36. What is the common denominator of 173/126 and l?
252
Let p(y) be the second derivative of y**4/12 - 5*y**3/2 + 13*y**2 - 7*y + 7. Calculate the smallest common multiple of p(14) and 42.
84
Let s = 4333651851479/158268657 - -1/18619842. Let q = s - 27384. Let m = 1945/204 - q. Find the common denominator of m and -3/10.
60
Let i(f) = -5*f + 5. Let q = -27 - -42. Let u be (-5)/(q/6) + 7. Find the common denominator of i(u) and 77/8.
8
What is the common denominator of 7422/13104*-1 + (-14)/91 and 47/2?
168
Let f(h) = 3*h + 78. Let z be f(-16). Calculate the common denominator of 0/1 - z/(-11) and -23/37.
407
Let x(r) = 7*r - 1 - 2*r**2 + 12 + 4*r**2 - r**2. Let z be x(-6). Suppose -4*c - 3 = 5*m, z*c + 14 = m + 3*m. Calculate the smallest common multiple of m and 8.
8
Let d = -10532/3 + 652979/186. Find the common denominator of 67/198 and d.
6138
Suppose 11*o = -4*o + 90. Suppose -v = -3*f + 40, o - 74 = -4*f + 5*v. What is the least common multiple of 202 and f?
1212
Suppose -5*l = 28 - 38. Suppose -l*h + v = -4 - 14, 3*h = 4*v + 22. What is the smallest common multiple of 28 and h?
140
Calculate the least common multiple of ((-111)/(-2) - -3)/(-15 + (-441)/(-28)) and 234.
234
Suppose 3*y + 148 = -34*y. Calculate the common denominator of -2/77 and (-153)/66*y/22.
847
Let t be (1 - 300/(-56))/((-2)/5326). Let f = 16922 + t. What is the common denominator of f and -99/98?
98
Let d be 48/(-27) + 2 + 2184/378. Let n(x) = -x**3 + 6*x**2 + 5*x - 23. Calculate the smallest common multiple of 16 and n(d).
112
Let m = 241334/7 - 373586117/10836. Find the common denominator of -11/172 and m.
1548
Suppose -8*v = -1068838 + 101030. Let u = 25888919/214 - v. Find the common denominator of u and -59/6.
642
What is the common denominator of 999/1925 + 2670/(-165) + 16 and -88/105?
525
Suppose -2*i + 0*i + 117 = -3*o, 0 = 4*i + 3*o - 243. What is the common denominator of ((-2)/24)/(7/77) and 80/i*(1 - 122/(-8))?
12
Let d(n) = -905*n - 3608. Calculate the least common multiple of 198 and d(-4).
396
Suppose 4*i = t + 180, -5*i = -3*i + 3*t - 90. Let u = i - -3. Calculate the lowest common multiple of 54 and u.
432
Let d(j) = -j**3 - 7*j**2 + 256*j + 1582. What is the smallest common multiple of d(-6) and 4176?
20880
Let q = 1/295 + 2339/6195. Suppose 64 + 52 = 29*c. Find the common denominator of 3/c - 5540/2160 and q.
189
Suppose 21*s - 32*s - 5544 = 0. What is the common denominator of -127/30 and (-60)/s*(3 - 28/10)?
210
Let b be (18/4)/(51/102). Suppose 2*v = -n + 72, -2*v - 3*n - b = -85. What is the smallest common multiple of v and 42?
210
Let r(l) = -2*l**2 + 2*l + 7. Let x be r(-2). What is the lowest common multiple of 21 and 3 - -3 - (x - (-4 - 1))?
42
Suppose 7*v - 419 - 645 = 0. Let k = v + -82. Calculate the lowest common multiple of k and 22.
770
Suppose 14 = -4*y + 3*n, 0 = -2*y + y - 2*n + 2. Find the common denominator of (-6)/(-2) + (y - 165/35) and 6/45 + ((-19996)/5520 - -4).
644
Let i = 113/12 + -28/3. Find the common denominator of i and 58/249.
996
Let o = 66/103 - 9959/1236. Find the common denominator of (714/(-180) - (-2 - 2))/((-32)/(-492)) and o.
240
Let n(t) = 6*t**3 - t**2 + 22*t + 15. Calculate the lowest common multiple of n(6) and 14.
2814
Let s(j) = -j**3 + 9*j**2 - 2377*j + 18988. Suppose -v + 2*v - 208 = 0. Calculate the least common multiple of v and s(8).
1872
Let y = 12/2033 - 108277/89452. Find the common denominator of y and 37/144.
1584
Let t be (1 - 2)*-10*3/2. Suppose 20*u - t*u + 41360 = 0. Let d = 82641/10 + u. Calculate the common denominator of d and -47/16.
80
Calculate the common denominator of (25/275)/(-4 - 4) and (10/264)/(10/45).
88
Let d be (-592)/(-1100) + 18/(-45). Let w = d - -22919/3300. Calculate the common denominator of -41/9 and w.
36
Let k = 19606 - 19497. Calculate the lowest common multiple of 81 and k.
8829
Let b = -99664/21 - -4745. Calculate the common denominator of 192/240 + 5739/(-1155) + 4 and b.
231
Suppose 2*w - 44 = -16. Let o be 19 + -17 + 1*(-8 - -2). Let n(y) = -y**2 - 6*y + 4. What is the least common multiple of n(o) and w?
84
Let c(d) = 20 + 16 + 2*d**2 - 3*d - 35. Let n = -169 + 184. Calculate the lowest common multiple of c(3) and n.
30
Find the common denominator of -2 + (-21815)/(-1950) - (22 + -13) and -61/10.
390
Let b = -49960 + 1498679/30. Calculate the common denominator of 0 + (-1)/((-66)/163) and b.
330
Let n(f) = 6*f - 23. Let o(b) = 9*b - 35. Let z = 10 + -5. Let y(s) = z*o(s) - 7*n(s). What is the least common multiple of y(7) and 11?
77
Let w be (-388)/(-240)*-3 - -6. Let m = -751/540 + w. Find the common denominator of 35/108 and m.
108
Let d = -1873 - -3243. What is the lowest common multiple of d and 45?
12330
Suppose -2*a = 2*r - 5*a + 5, -2*r + 4*a = 0. Calculate the least common multiple of ((-104)/4 + 2)*5/r and 200.
600
Calculate the least common multiple of ((-7)/(21/(-6)))/((-104)/(-12) + -8) and 155.
465
What is the lowest common multiple of -6*(0 - -1) - (-174012)/853 and 704?
6336
Let t = -54659/39150 + -50/783. What is the common denominator of t and -33/428?
10700
Let a = 1/2133 - 34840/2133. Let c = 21179/8496 - -33/944. What is the common denominator of a and c?
36
Let v(i) = 18*i**3 - i**2 - i - 1. Let h be v(1). What is the smallest common multiple of 24*5/h + -5 and 90?
90
Let x = -949 + 1418. Calculate the common denominator of -17/139 and x/(-78) - 3*(-8)/(-156).
834
Let m = 103006634/147 - 700726. Find the common denominator of m and (83/(-6))/((-2)/2).
294
Suppose s = -5*y + 110, -y + 5*y = 2*s + 88. Let n = 31 - y. Suppose 5*g + 3*l = 39, g + 3*l - n = 6. Calculate the lowest common multiple of 6 and g.
6
Suppose -4*i = -44 + 36. What is the common denominator of i + (204/(-48))/((-45)/(-8)) and -67/10?
90
Let h = 17465/3 + -5807. What is the common denominator of -1/1368 and h?
1368
Suppose -w + 44 = -53. Suppose 0 = -3*n + 2*v + w, 2*n + 29 = 3*n + v. What is the smallest common multiple of 13 and n?
403
Let h = 225/577 + 1947854/1731. Let g = h - 10169/9. Let u = -118/45 - g. What is the common denominator of u and -64/51?
255
Let f = 2/1089 - 31585/2178. Suppose 23*y - 14*y = 27. Calculate the common denominator of (-350)/(y - -2)*2/52 and f.
26
Suppose -69 = 3*t + 456. Let j be 3/((-21)/2) + (-50)/t. Suppose j = a + 16 - 40. Calculate the smallest common multiple of 20 and a.
120
Let t = -42 - -98. Suppose -3 = -i + 2. Suppose i*x = -m + t, 0 = 3*m - 2 - 1. Calculate the lowest common multiple of 3 and x.
33
Let z = -5050 - -1863. Let b = -19181/6 - z. Find the common denominator of -107/222 and b.
222
Suppose -7*d = -12*d + 4*o + 82, -4*d - 3*o + 47 = 0. Calculate the smallest common multiple of d and 35.
70
Suppose -4*l - f - 163 = 0, -l = -f + 29 + 8. Let t = -78919/24 + 3289. Find the common denominator of t and (4/l)/((-1)/(-79)).
120
Find the common denominator of 69/50 and (-816)/(-144)*(-7)/(-40).
600
Suppose -25*n - 2168 = 1932. Let u = n - -176. Calculate the smallest common multiple of u and 14.
84
What is the lowest common multiple of 2 and (-14)/(-4)*(-174 - -186)?
42
Find the common denominator of 