27. Calculate the least common multiple of k and ((-8)/(-18) - 2)*-18.
112
Let x = -3164334/85 - -37228. Let k = -54/11 - -23/11. Find the common denominator of k and x.
935
Suppose 5*g = -2*t + 35, 7*t + 60 = 5*g + 4*t. What is the smallest common multiple of g and 66?
198
Let u = -1780928/217 - -8207. Let j = -2099/6944 + u. What is the common denominator of (-338)/(-240) + 4/(-20) and j?
96
Let o = -1493431/474672 - -4/9889. Calculate the common denominator of -13/612 and o.
2448
Let x = -99 - -1815. What is the smallest common multiple of 12 and x?
1716
Let j be 4 + 954/(-50) - 2/(-25). Calculate the smallest common multiple of (-4)/(-3 - j)*216/(-24) and 1048.
3144
Suppose 195*p = 158*p + 1924. Suppose -3*v + 180 = 2*v. What is the least common multiple of p and v?
468
Let n = -34 - 2. Let p = n - -38. Let h = 10 - p. What is the smallest common multiple of h and 2?
8
Suppose 8 = 3*j - 4. Suppose j*g + 0*g - 36 = 0. Suppose z - 169 = -5*r, -5*z = 10*r - 11*r + 13. What is the lowest common multiple of g and r?
99
Let n = 12/1901 + -17477/2467498. Let a = n - -3281/46728. What is the common denominator of -32 and a?
72
Suppose 4*a = 14 + 26. Let k(s) = 6*s + 10 + 15*s + s**3 - 23*s**2 + 22. Calculate the least common multiple of k(22) and a.
10
Let j(r) = -r**3 - 9*r**2 - 15*r - 8. Let o be j(-6). Find the common denominator of o + 22 - (-47)/(-12) and 127/18.
36
Suppose -17*f = -15*f - 2, 3*s + 3*f - 57 = 0. Find the common denominator of (-6)/(-192)*s/(-3) and -5/4.
16
Let m = 3441 - 2769. Calculate the lowest common multiple of 384 and m.
2688
Let z = -2/703 - 54119/4218. Calculate the common denominator of (28/378)/(3 + (-52)/12) and z.
18
Let a = 62 - 31. Let u = 33 - a. Let d = 15 + u. What is the lowest common multiple of 8 and d?
136
Suppose 87*q - 891 = -403 + 556. What is the smallest common multiple of 416 and q?
1248
Let h = 6513 + -4794. Calculate the least common multiple of 1719 and h.
1719
Let s(m) = -11*m - 2 + 21 + 13. Calculate the least common multiple of 8 and s(-8).
120
Let p be 0/(-3) + 147 - 3. Let x = -7362/5 - -2969/2. Calculate the common denominator of (-453)/p - (-12)/(-18) and x.
80
Let b(i) = -i**2 - 38*i - 31. Let l be b(-17). Let t = -196 + l. What is the smallest common multiple of 6 and t?
390
Let k = -8365 - -50081/6. Calculate the common denominator of (-89)/(-3)*(-4)/(-48) and k.
36
Let l = 338 + 22. Let y = 1171/12 - 271/3. What is the common denominator of (-2244)/l + 1/3 and y?
20
Let h = 61055/8 - 7642. Let i = -10561 - -6843557/648. What is the common denominator of h and i?
648
Suppose -5*x = -10*j + 5*j - 80, -46 = -3*x + 2*j. Suppose -4*p + 5 = -7. Calculate the lowest common multiple of x and (-3 - -3)/p + 8.
56
Calculate the least common multiple of 12918 and (-9790)/(-712) - (-19)/(-4).
38754
Let d = 9522/235 - 1038665/25662. Calculate the common denominator of -38/27 and d.
24570
Let d = -43592 - -64504. Let y = d - 585597/28. Calculate the common denominator of y and 1*((-89)/44 - -2).
308
Suppose 2*j + 166 = -q + 557, 5*j - 973 = -4*q. Let p = j - 193. Calculate the smallest common multiple of p and 31.
124
Let m = -174811296 - -61183778517/350. Let w = m - -3492/7. Let z = -5197/70 + 403/5. What is the common denominator of w and z?
350
Suppose 3*t = 232*z - 237*z + 63, -5*z + 64 = 4*t. Let m = 1 + 1. Calculate the lowest common multiple of z and m.
12
Suppose 0 = -2*z + 2*o + 2198, 57*z - 59*z = 3*o - 2183. What is the lowest common multiple of z and 24?
3288
Find the common denominator of 157/3024 and ((-9)/540)/((-18)/(-3078)).
15120
Let m(j) = 6*j**2 + 6*j + 6. Let g be m(-1). Calculate the common denominator of (-2296)/1995 - g/(-9) and -64/35.
665
Let u(h) = h + 26. Let s be u(-15). Suppose -s*v + 6 = -8*v. What is the lowest common multiple of v and 5?
10
Let x = -59 - -63. Suppose 4 + x = -4*j, 356 = 4*q + 2*j. Suppose 2*c = l - 4 + q, 3*c - 130 = 2*l. Calculate the least common multiple of 18 and c.
126
Let k(x) = -x**3 - 78*x**2 + 164*x + 347. Let g = 119 - 38. What is the lowest common multiple of g and k(-80)?
81
Calculate the lowest common multiple of 7/(7/18) + 5/((-5)/4) and 448.
448
Let t = 1212307 + -2773758485/2288. Find the common denominator of t and -55/14.
16016
Let w be (2 + -34)/(6/(-45)). Let x = -947/4 + w. Calculate the common denominator of 67/106 and x.
212
Let p be 50/(-125)*(1 + 0 + 569). Let i = 4 - 0. Calculate the smallest common multiple of 152/p + (0 - 17/(-3)) and i.
20
Suppose -4*m - 2*y = 4, -4*m + y = m - 2. Suppose -3*b + 1 - 7 = m. What is the smallest common multiple of (22 - 7)*(0 - b/2) and 6?
30
Let t = 1136249/51 - 22278. Find the common denominator of t and -4/119.
357
Suppose 5*x = -5*b + 35, 8*b = 4*x + 3*b - 28. Let q be (-3)/(-7) - (-5485)/x. Let m = 23501/30 - q. What is the common denominator of m and 79/30?
30
Suppose 2*n = 2 - 10. Calculate the common denominator of 1 + n/1 + (-1045)/152 and 25/20*(-54)/40.
16
Suppose -8*a + 117 = -3. Suppose -4 = -2*p + 3*g + a, 0 = p - 2*g - 9. What is the least common multiple of p and 108?
1188
What is the common denominator of (-558)/93 - ((-26)/16)/((-2)/(-6)) and 41/744?
744
Let j(g) = -5*g - 25. Let z = -106 - -100. What is the smallest common multiple of 47 and j(z)?
235
Let v be 440/28 + 1 - 6/(-21). What is the smallest common multiple of 279 and -7 + 0 + v + 1?
3069
Calculate the common denominator of 1/18*(-5106)/(-230) and -4*(-2)/12*(-582)/88.
330
Let r = -6602001/62 - -106484. Find the common denominator of ((-28)/(-8))/(5/(-14)) and r.
310
Calculate the least common multiple of 18970 and 14 + (-13 - 6) - -7*(-3)/(-3).
18970
Let n = 11177 - 67213/6. What is the common denominator of n and -111/374?
1122
Suppose -192*c + 267*c = 2100. What is the lowest common multiple of 896 and c?
896
Let q be 24/(-5)*(-60)/24. Let r be (-14)/(-2) - 7/42*-6. Calculate the least common multiple of 132/9 - r/q and 8.
56
Let a(x) = -4*x**2 - x - 11. Let t be (-24)/8 + -2*457. Let c = 3719/4 + t. What is the common denominator of c and a(3)?
4
Suppose -c = -2*p - 9 + 1, -3*p + 16 = 2*c. What is the least common multiple of c and 1972?
3944
Suppose -19*h + 1530 + 180 = 0. Let a = 287 + -277. What is the least common multiple of a and h?
90
What is the least common multiple of (12/(-10))/((-831)/1463945) and 8?
8456
Suppose 5665 = 5*p - 5*a, 4*p - 2135 = -5*a + 2352. Calculate the least common multiple of 564 and p.
1128
Suppose 4*u = -3*z + 988, -5*z + 5*u + 1689 - 124 = 0. What is the lowest common multiple of z and 32?
320
Calculate the common denominator of (-125)/450*33*(-1)/((-8960)/(-54)) and 19/44.
19712
Suppose -v = -5*d + 1109, d + 65 = -5*v + 292. Calculate the least common multiple of d and 12.
444
Let w = 504787/122115 + -3/8141. What is the common denominator of 53/19 and w?
285
Let h = 17/1386 - -18784/3465. Calculate the common denominator of h and (7/(630/(-305)))/((-5)/2).
90
Suppose -g + 38 - 7 = -5*x, -3*x = 4*g - 9. Let m(f) = -8*f + g - 1 + f**2 + 2*f + 25. Calculate the least common multiple of 27 and m(6).
270
Suppose 0 = w - 2*b + 37, -10 = -3*b - 1. Let c(m) = -m**3 - 6*m**2 + m + 5. Let k be c(-6). What is the common denominator of w and 445/(-10) - (-2 + k)?
2
Let r = 771/1054808 + -6555801076051/81220216. Let n = 80717 + r. Find the common denominator of n and -43/22.
154
Let r be (64718/(-24))/(10*(-44)/16). Let t = -1068/11 + r. Calculate the common denominator of -3/35 and t.
210
Suppose 2*n = 2*y - 16 + 56, -3*n = -4*y - 64. Let v = -21 - -37. Find the common denominator of 97/10 and ((-654)/n)/((108/v)/3).
30
Let f(t) = -27*t + 1501. Calculate the least common multiple of f(23) and 48.
2640
Suppose t - 51462 = -6*l + 8*l, 0 = -3*l - 6. Let v = 4631303/90 - t. What is the common denominator of 73/2 and v?
90
Let j be (-2860907)/(-18)*(-1)/(-42). Let m = j - 15145/4. Let p = 95/14 - 71/7. Calculate the common denominator of m and p.
378
Let n be 9 + (-3 - (-3 + 4)). Suppose n*t = 507 + 963. Calculate the least common multiple of t and 2.
294
What is the smallest common multiple of 70668/117 + -2 + 19 and 207?
621
Calculate the common denominator of 35/244 and (-66)/40*(12 - (-834)/(-72)) - 5.
976
Let c be (2 + (-28)/10)/((-3)/45). Let a be c/(-24) - 9/2. Let i(q) = -q*