(-8)/12. What is the common denominator of 20/z + (-5 - 0) and -18/13?
91
Let n = 1110 + -424017/382. Let h = 16241/764 - n. Find the common denominator of h and 13/6.
12
Let k = 5/13126046 - 76664345/28966860211858. Let b = k - 211168685977/30895522. Let f = 6843 + b. Calculate the common denominator of f and 77/2.
14
Let d be (2/(-3))/2*-57. Let s = d + -12. Suppose 0 = 3*y - 5*h - 8, 0*y + 4*y - 34 = 2*h. What is the smallest common multiple of s and y?
77
Let g = -29 - -33. Suppose 0 = g*c - 2*n + 58, -c - 2*n - 78 = 3*c. Let q(j) = j**2 + 17*j + 22. Calculate the least common multiple of q(c) and 6.
66
Let w be (-1)/((-12)/(-5696))*27/(-15). Let c = 17137/20 - w. What is the common denominator of (-2)/8 + (-27)/(-68) and c?
340
Suppose 10 = 3*o - 4*w, 2*o + 0*w - 4*w - 4 = 0. Suppose -4*j - u = 27, 5*j + 15 = 3*u - o. Calculate the common denominator of 39/2 and 4/j*339/(-12).
6
Suppose 4*z - 2*t = 26, 2*z + 3*z - 27 = -3*t. Suppose 8 = -4*x, 5*k + x + 10 = -12. Find the common denominator of (k + z)/((-12)/(-59)) and -43/4.
12
Suppose -3*d + 78 = -4*r, 2*d + 5*r = 36 - 7. What is the lowest common multiple of d and 24?
264
Let o(b) = -52*b**2 - 7*b - 17. Suppose 6 = 3*s + 45. Let l be o(s). Let f = 52153/6 + l. Calculate the common denominator of f and 17/7.
42
Let y(j) = j**3 + 19*j**2 + 16*j - 24. Let i(u) = -13*u + 34. Let c be i(4). Calculate the smallest common multiple of y(c) and 5.
60
Suppose -2*f - 25 = -7*f + 5*n, 5*f = -5*n - 5. Suppose -f*u + 42 = u. What is the least common multiple of u and 3*4/(-84)*6*-7?
42
Calculate the least common multiple of 1034 and 20/35 + 30/70 - -1.
1034
Suppose -86591 = 7*j - 350540. Let i = -2488715/66 + j. Find the common denominator of -23/5 and i.
330
Let f(x) = x**2 - 12*x - 13. Let b = -8 - -38. What is the smallest common multiple of b and f(14)?
30
Suppose 5*b + 4 - 24 = 0. Let y(m) = 3*m - 12. Let d be y(5). Suppose -9 = -d*w + 3. What is the least common multiple of w and b?
4
Let s = -2197/8 + 278. What is the common denominator of 51/22 and s?
88
Suppose 2*b = 4*o + 44, -10*o - 111 = -3*b - 13*o. Calculate the least common multiple of b and 32.
32
Let w(c) = -c**3 + 3*c**2 + 9. What is the smallest common multiple of w(3) and 3?
9
Let t(c) = 6*c**2 - 10*c - 16. Calculate the least common multiple of 8 and t(-2).
56
Let r = 3117570 - 24882049/8. Let n = -7323 + r. What is the common denominator of (-2)/7 + 1948/(-336) and n?
24
Find the common denominator of 79/90 and 10/108*1192/(-40).
270
Let v be ((-20)/6*-3)/1. Suppose 0 = 4*b + 4*c - 20, v = b - c - 3*c. Let j(h) = -h**2 - 69*h - 1130. Calculate the least common multiple of b and j(-28).
18
Let i = 113/669 - 64819/16725. Let m = 1801/150 + i. Find the common denominator of -27/5 and m.
10
Let b be (-36)/(-16) + -2 + (-263)/(-4). Let f = -61 + b. Calculate the lowest common multiple of 48 and f.
240
What is the common denominator of 0/(-1) + (-24)/(-11) and 1/(1/(38/(-31)) + 1)?
77
Let y be (-38 - -1)/(-6 - (-6 - -1)). What is the common denominator of ((-27)/(-18) + (-1 - 10))/y and 1/6?
222
Suppose -4*p - 4*z = -72, 2*z = -p + 4*z + 18. What is the least common multiple of p and 22?
198
Suppose -3*g = -6*g + 12. Let h(v) = 4*v**3 + 3*v**2 - 2*v + 1. What is the smallest common multiple of g and h(1)?
12
What is the common denominator of (2/(-14))/((-6)/(-34)) and (10/(-25))/(108/(-15))*-59?
126
Let a = 580/83 + -24931/4316. What is the common denominator of a and ((188/24 - -2)*6)/18?
468
Let q = -180 + 210. What is the smallest common multiple of q and 90?
90
Let i(z) = -z**3 + 8*z**2 - 12*z + 8. Let n be i(6). Calculate the common denominator of 2*(-577)/(-760) + n/(-20) and 83/10.
380
Let n be (-2)/7 - 650/(-70). Let v = 49667/12 + -4149. What is the common denominator of 88/128*(-1 - n) and v?
24
Let b = -1221/85 + 64/17. Calculate the common denominator of 151/6 and b.
30
Let l = -13338 - -560251/42. Let t = 98 + 193. Let z = t - 563/2. Calculate the common denominator of l and z.
42
Let o = -25230 + 555033/22. Let s be 0*2/8*2. Calculate the common denominator of o and 137/12 + s + -1.
132
Let p = -1114681/52 + 21437. What is the common denominator of (-4)/96*-514 + (-1)/4 and p?
156
Let u be 1276/3834 - 8/24. Let i = u - -162961/30672. Calculate the common denominator of 23/3 and i.
48
Let r be (6 + 20/15)*(-3)/(-2). Calculate the smallest common multiple of r/((-275)/(-10))*20 and 8.
8
Calculate the common denominator of ((-6)/567)/(2/132) and -16/45.
315
Suppose -2*a + a - 8 = f, 0 = 4*f - 2*a + 20. Let j(l) = 6*l + 6. Let i be j(f). What is the lowest common multiple of 12/i + (-32)/(-5) and 2?
6
Let r(g) = -1 - 3 - 1 + 7*g - 1 + g**2. Let l be r(-10). Suppose 0*d = -4*d + l. What is the least common multiple of d and 18?
18
Let v be 17/(-6120)*16292/19. Let p = v - -14/171. Calculate the common denominator of p and (1 - (-8)/(-6))*1.
30
Suppose 0 = o + 3*g, g + 0*g = 2*o + 14. Let i(u) = 3*u**2 + 15*u + 2. Let f be i(o). Suppose m = 6*m - f. Calculate the least common multiple of m and 20.
20
Let j = 763/3 - 268. Calculate the common denominator of -28/177 and j.
177
Let o = 36 - 28. Suppose o*h - 3*h + v = -4825, -4*v = -2*h - 1952. Let y = h - -5813/6. Calculate the common denominator of -26/3 and y.
6
Suppose 0 = -2*o + 5 - 1. Suppose 2*d - o*l + 4 = 0, 4*d + d - 14 = -3*l. What is the common denominator of -2 + d + (-763)/70 and 133/12?
60
What is the smallest common multiple of 99 + -1 + 6 + -16 and 24?
264
Let y(l) = 6 - l**3 - 2*l**2 + l**2 + 0 - 4. Let z be y(-3). Suppose -5*j + z = -j. Calculate the smallest common multiple of 2 and j.
10
Let u(d) = -5*d - 20. Let i be u(-11). Suppose 5*l - i = 25. Let f(q) = -3*q - 1. Calculate the least common multiple of l and f(-3).
24
Suppose 4*w = -w - 10. Calculate the common denominator of w/(-9) + (-3219)/270 and -69/16.
80
Let c(t) = 2*t**3 + 2*t - 1. Let y be c(1). Suppose y*u + l = 0, -2*l = 2*l. Suppose u = -3*v - 10 + 34. What is the lowest common multiple of 4 and v?
8
Suppose 33 - 108 = -3*b. Suppose 0 = 7*f - 2*f + b, 2*a - 5*f = 97. Let j = -853/35 + 116/7. What is the common denominator of a and j?
5
Let n = -2/15957 - 686125/207441. Let f = -77043/10 - -7695. What is the common denominator of f and n?
130
Let x(a) = -282*a - 72. Calculate the smallest common multiple of 105 and x(-1).
210
Let v be 596/30 - (-7 + (-412)/(-60)). Suppose -5*l - v = -6*l. Calculate the smallest common multiple of l and 5.
20
Suppose 5*d - 215 = -5*x, -2*x + 0*d = -d - 89. Calculate the smallest common multiple of (11 - 513/45)/(1/(-110)) and x.
44
Let d = -88 + 48. Calculate the common denominator of 5/4 + (-146)/d and 71/6.
30
Let a = 21 + -11. Suppose 41*j - 67*j = -260. Calculate the lowest common multiple of j and 5*2/a*4.
20
Suppose 46*g = 15*g + 11656. Calculate the lowest common multiple of g and 48.
2256
Find the common denominator of 148/34*5/(-10) and ((-152)/24 - -7)*(-78)/14.
119
Suppose -14 = -13*i + 168. What is the smallest common multiple of 21 and i?
42
Let w = -4883/4 - -1213. Let o = -2349 + 18699/8. Calculate the common denominator of w and o.
8
Let k be 0 - ((-142603)/10 - 1). Let y be (-2)/(3/(170988/8)). Let d = k + y. Find the common denominator of -31/5 and d.
10
Find the common denominator of ((-32)/18 + -3)*(-12)/(-352) and -67/9.
792
Suppose 0*n - 2*n + 73 = -5*l, -5*l = -3*n + 72. Let b = l + 20. Suppose -5*k = -b*i, -5*i - k - 4 = -34. Calculate the least common multiple of 11 and i.
55
Let k(t) = -t**3 - 7*t**2 + 6*t - 14. Let b be k(-8). What is the common denominator of -75/22 and 321/(-132) + -4 - b/(-11)?
44
Let g = -18 - -190/11. Suppose 2*h = -3*h - 16030. Let n = h + 25587/8. Find the common denominator of g and n.
88
Suppose u - 2*l + 60 = 0, -u + 5*l - 21 = 39. Let r = -50405/16 + 3153. Calculate the common denominator of r and (-2)/4 + (-205)/u.
48
What is the common denominator of ((-54)/(-360))/(14/65) and 23/24?
168
Let z = 8/605 + 2047/15730. Let h = -3/13 - -271/104. Calculate the common denominator of h and z.
1144
Let c be (-9)/(-66)*4/(-62). Let g = -10927/1705 - c. Let i = 21035/6 + -3497. Calculate the common denominator of i and g.
30
Suppose 0 = 5*q - 1484 + 314. Find the common denominator of 97/4 and (-8)/(-22)*q/(-72)