 s = -168 - -243. Let l be 10/s*3*5. Calculate the smallest common multiple of 45 and (l - 1)/((5 - 6)/(-15)).
45
Suppose -7*f = -12085 + 11665. What is the smallest common multiple of 2175 and f?
8700
Let m be 853/(-3885) - 1*(-6)/14. Let z = 5369/5920 - m. What is the common denominator of z and 87/8?
96
Let n = 643/198 - 20/99. What is the common denominator of 103/590 and n?
6490
Let t = -1404 - -2025. Let x = t + -585. What is the lowest common multiple of x and 48?
144
Find the common denominator of ((-506)/267927)/(((-1)/(-3))/((-57)/(-16))) and 59/26.
36712
Let s be 6/39 + (-380)/(-65). Let t(b) = b - 1. Let n be t(s). Calculate the common denominator of 37/15 and (31/10)/(32/n + -4).
120
Calculate the common denominator of (2 + (-21592)/10784)/(((-7)/54)/7) and 31/22.
7414
Find the common denominator of (-1 - (-2 - (-393)/54))/(-60 - 22) and 121/820.
7380
Suppose -171 = 8*f - 3531. Suppose -f*b + 424*b - 180 = 0. Calculate the least common multiple of b and 135.
135
Let v be ((-5)/30)/(16/216792594). Let l = v + 2257249. Let j = 1006 + l. Find the common denominator of 1/10 and j.
80
Let m = -9149 - -3815135/417. Let k = m - -31271/834. Let n = 5/10429 + -990795/83432. What is the common denominator of n and k?
8
Find the common denominator of 6 - (-17 - -20) - (-1 - (-39)/22) and 65/484.
484
Let l be ((-32)/(-5))/(9/270). Let m = -273 + l. Find the common denominator of (-3)/45*m/(-6) and -46.
10
Let q(a) = 137*a - 61. What is the least common multiple of q(5) and 12?
624
Suppose 0 = -18*z + 106 + 20. Suppose -10*y - z = -77. Let c(x) = x**3 + x + 2. What is the least common multiple of c(0) and y?
14
Suppose 2*k - 88 = -2*m, -2*k = -3*k. Let u = 1636 - 1953. Let p = -285 - u. Calculate the lowest common multiple of m and p.
352
What is the common denominator of 31/12 and (-1)/5 + 1757/660*82/287?
132
Find the common denominator of 15/10 - (-17310)/(-11200) and -143/280.
1120
Find the common denominator of 16 + -29 + 4 + (-96)/(-22) and 29/5173.
56903
Let d be (-108)/10*(-680)/102. What is the lowest common multiple of 6 and (d/(-16))/((-3)/248)?
372
Suppose -19*m = -15*m + 960. Let i = m + 255. Calculate the smallest common multiple of i and 159.
795
What is the least common multiple of 13 and (36408/1554)/((-2)/(-7))?
1066
Let i be 0 + (-210)/((-12)/4). What is the common denominator of (-525)/i*(-10)/16 and 61/14?
112
Let y(r) = r**3 + 61*r**2 - 137*r - 595. Calculate the smallest common multiple of y(-63) and 1190.
8330
Let n = 344 + -136. Suppose -7*c = 194 - n. Suppose 7*z - 36 = -2*z. What is the smallest common multiple of z and c?
4
Let f = -9/1724 - 4891/1705036. Find the common denominator of f and -59/215.
4945
Let d = 2080 + -2016. Calculate the smallest common multiple of 2 and d.
64
Let l = 2149 - 2121. What is the least common multiple of l and 692?
4844
Let j be (-9740)/32 + 4 - 6/2. Let t = j + 304. What is the common denominator of -95/64 and t?
64
Find the common denominator of -73/216 and 555*(-27)/(-972) - (9 + 1)/2.
216
Let b(l) = -l**3 + 7*l**2 - 8*l + 4. Calculate the smallest common multiple of b(5) and (-61420)/(-6142) - (0 + 2).
56
Suppose 4 = -2*g + 4*v, -g + 4 = 5*v + 6. What is the least common multiple of (2 - (-4 - 7))*2 + g and 60?
120
Let s = -15521961/134853730 + 2/254441. What is the common denominator of s and -95/18?
4770
Let a = -10/1867 + -23951/59744. Let j = 69/13 - 2693/260. What is the common denominator of a and j?
160
Suppose 0 = 8*y - 3*y - 510. Let l = y + -242. Calculate the common denominator of -93/38 and 8/28 + 166/l.
190
Let d be 2180/(-4109) + ((-320)/(-56))/10. Let a = 48529/4696 + d. Find the common denominator of a and 79/40.
40
Suppose 0 = -0*g + 5*g + 10. Let u = 927 + -921. Calculate the least common multiple of (g + u)/(1 + 1) + 4 and 7.
42
What is the common denominator of 139/2346 and 3826/374 - (-1140)/(-114)?
25806
What is the common denominator of (-2)/4 + ((-20)/(-112))/(8/14) and -7/1200?
1200
Let r = 52 - 12. Suppose 3*k = -4*t + r, 3*k - k - t - 23 = 0. Calculate the lowest common multiple of 10 and 3/k - (-135)/4.
170
Let n be (6/(-9))/(6/(-693)). Let i = 85471/32360 + 270/809. Calculate the common denominator of (-66)/(-4)*n/(-105) and i.
40
Suppose 3*j + 4*s - 473 - 463 = 0, 2*j = 2*s + 610. Calculate the smallest common multiple of j and 352.
2464
Suppose 0 = -5*u + j + 72304, j = -7*u + 5*u + 28916. Let w be ((-6)/20)/((-45)/u). Let v = -1613/20 + w. What is the common denominator of v and -56/9?
36
Let q = 9443 + -9428. What is the least common multiple of q and 1791?
8955
Let n(r) = 2*r**2 - 8*r + 2. What is the least common multiple of n(-7) and 3 + 315/6 - (-2870)/(-820)?
156
Let y be (-184)/(-12)*6/4. Suppose z = 5*a - 41, 0*a - y = -3*a + z. Let t(j) = 10*j**2 - 5*j - 5. What is the lowest common multiple of t(-1) and a?
90
Let z(b) = b**3 + 13*b**2 - b - 8. Let l be z(-13). Let n be 1 + l + 0 + 0. What is the smallest common multiple of 7 and (-2 - 1)/(n/(-6))?
21
Let b = 10256 - 143663/14. Find the common denominator of b and -33*1/(-250)*1265/552*4.
700
Let n be ((-2)/(-3))/((-3)/81) + -1. Let z = 61/56 + -559/168. Find the common denominator of z and 5 - n*15/18.
42
Let w(y) = -10*y + 14. Let d(c) = 2. Let o(l) = -10*d(l) + w(l). What is the least common multiple of o(-1) and (-297)/(-15) - (-1)/5?
20
Let x be ((-19)/(665/6))/(6/(-52)). Let l = -65/7 + x. What is the common denominator of l and -85/63?
315
Suppose 166*h - 3960 = 122*h. Calculate the lowest common multiple of 9 and h.
90
Let i = 26 + -16. Let r be (-16)/i*1/2*-5. Suppose 0*n - 26 = -2*s + 2*n, -3*s + 34 = -r*n. What is the least common multiple of 3 and s?
18
Let q = 60505/82368 - 86/117. Let r = 253/192 - q. What is the common denominator of r and 101/22?
22
Suppose -2*x + 52 = 4*u + x, 0 = x - 4. Let r(h) = 239*h**2 + 7*h - 4. Let w be r(1). Suppose 21*g - 346 = w. Calculate the least common multiple of g and u.
140
Let n(r) = 3*r**2 + 8*r - 11. Let q be n(2). Suppose -2*o = k - 22, -4*k = -5*o - 6 - q. What is the least common multiple of 36 and k?
36
Let k = 6860989/160 - 42881. Let u = 226/5 - 518/15. What is the common denominator of k and u?
480
Let l = -285 + 74. Let d be (-24)/36*(-36)/l. Let j = -16813/1266 - d. Calculate the common denominator of j and 77/10.
30
Let l = -4 + 6. Suppose -14 = -3*p - l. Let k(n) = -n**3 - 245*n**2 + 4*n + 986. What is the lowest common multiple of k(-245) and p?
12
Let y = -46 + 50. Let g be 134*(-2)/y - -4. Let n = g - -36. What is the common denominator of -16/5 and n?
5
Let m = -13 - 31. Let r(u) = -18*u**2 + 6*u + 19. Let t be r(7). Let o = t - -2492/3. Find the common denominator of m and o.
3
Let q = 17322969/128 + -135335. Calculate the common denominator of 53/6 and q.
384
Let r(u) = 8 - 4226*u**2 - 5 + 4232*u**2 - 3*u. What is the least common multiple of r(1) and 77?
462
Suppose 0 = -34*n + 1877 + 809. What is the smallest common multiple of n and 30?
2370
Let r be (5 - 3)/(2/3). Suppose i + r*i - 69 = -5*p, p = -4*i + 65. Find the common denominator of 56/3 and i.
3
Let v(x) = 5*x**3 - x**2 + x - 1. Let c be v(1). Let o = -231502/33 - -7015. What is the common denominator of o and c/14 - 111/(-21)?
231
Suppose 1070 = -13*l - 217. Find the common denominator of l/12*(-6)/(-86) and -27/8.
344
Let c be ((-16)/(-8))/((-6)/15). Calculate the common denominator of 23/3 and c*6/(-15) - 93/51.
51
Suppose 13*u - 100 = 3*u. Let b = 145 - 118. Suppose 15*l - b = 12*l. Calculate the least common multiple of l and u.
90
Let t be (1 + 6)*6*(-4)/2. Let n be (t/(-10))/(0 + 3/(-15)). Calculate the common denominator of (-14)/n - (-193)/6 and -77/8.
8
Let i = -32 + 55. Let a be -4 - ((-76)/18 + 28/126). Suppose a = -18*t + i*t - 30. Calculate the lowest common multiple of 21 and t.
42
Let c = 322110 + -152459. Let k = c + -1556750/9. Let f = k - -3329. What is the common denominator of 68/33 and f?
99
Let v = 174 + -84. Suppose -17*h - v = -20*h. Calculate the lowest common multiple of h and 66.
330
Calculate the common denominator of 17/9 and (-17974)/(-2793) - 18/3.
441
Let t = -11 - -7. What is the common denominator of (-2516)/(-272)*2/2 and 105/56*t/(-6)?
4
Let s = 284532 - 2276205/8. Calculate the common denominator of s and ((-213)/(-72