
10
Suppose -k + 39 + 24 = 0. Let y = -3169/2 + 1544. Calculate the common denominator of y and k/8 - (-2 - -1).
8
What is the common denominator of -39/2 and 60/(-8) + 8 + (-636)/1408?
352
Let b = 116882065/318 - 367554. Find the common denominator of 133/6 and b.
318
Let y(r) = r**3 + 5*r**2 - 14*r + 3. Let p be y(-7). Suppose 5*s - p*s = 32. What is the lowest common multiple of (-3)/6*-6 + 3 and s?
48
Suppose 2*g = -5*d + 15, 2*d - 2*g = -3*d - 5. Let u be 1 + 2 - (1 + d). Calculate the smallest common multiple of 7 and 6 - u/(1/(-3)).
63
Let k be -16 + 13 + 4022/1344. Let y = k + 7817/672. What is the common denominator of y and 31/18?
72
Let c = 344 - 224. What is the lowest common multiple of 9 and c?
360
Let x = -1239 - -1283. Calculate the least common multiple of 124 and x.
1364
Let r(c) = -9*c**3 + c + 1. Let w(g) = -g**3 + g**2 + g - 1. Let m be w(0). Calculate the lowest common multiple of (-3 - (4 - 6))*-11 and r(m).
99
Let t = -302031/40 + 7550. Calculate the common denominator of -7/50 and t.
200
Suppose -5*w - 32 = -4*y, -w - 10 = -67*y + 65*y. What is the lowest common multiple of y and 162?
162
Find the common denominator of -37/18 and 10*5951/8052 - 7.
1098
Let m = -1845259/7 - -264529. Let a = m - 916. Suppose -2*g + g - 47 = 0. Calculate the common denominator of g and a.
7
What is the common denominator of (-3 - -5) + -5 + 90/(-24) and -49/762?
1524
Let p = -667 - -757. What is the smallest common multiple of p and 80?
720
What is the common denominator of (106/159)/(212/63) and -91/16?
848
Suppose -12603 = 5*m + x, 6976 + 3100 = -4*m - 4*x. Let l = -15079/6 - m. What is the common denominator of 8/3 and l?
6
Calculate the common denominator of 33/161 and -129*(-14)/368 + -5.
1288
Let t = 215663/22 - 9805. Suppose 3*o + 32 + 64 = 0. Calculate the common denominator of t and -2*(0 - (-332)/o).
44
Suppose 0 = -3*o + 6*o - 3, -2*u + 2*o + 62 = 0. Suppose 5*c - u - 22 = -2*q, -5*q + 2*c + 164 = 0. What is the least common multiple of q and 20?
160
Suppose 4*a = 13*a - 81. Calculate the common denominator of -61/20 and a.
20
Let x(u) = 48*u + 304. What is the lowest common multiple of (4/10)/(11/770) and x(-6)?
112
Calculate the smallest common multiple of 8 and (14 - (3 + 3))/1.
8
Suppose h = 14 + 2. Suppose 0 - 4 = 2*r, -4 = -2*t - 4*r. Calculate the least common multiple of h and t.
48
Let k be 40706/13560 - 4/12. Let y = 41/226 + k. What is the common denominator of y and -21/10?
20
Let u = -2/14109 + 1340411/395052. Find the common denominator of 79/176 and u.
1232
Let t(b) = b**2 + b + 9. What is the smallest common multiple of 21 and t(-3)?
105
What is the common denominator of (-6786)/406 + (11 - 0) and 51/304?
2128
Suppose 0 = 7*h - 2*h + 5*u - 175, -h - 5*u + 55 = 0. What is the common denominator of ((-3)/h)/(2319/465 - 5) and 20/9?
36
Let a(x) = -11*x**2 - 2*x + 1. Let c be a(-2). Let i = -25 - c. Find the common denominator of (-22)/99 - i/(-144) and -26/7.
56
Suppose 0 = -5*x + 7*x - 160. Let u be (4/10)/(2/x). Calculate the common denominator of 73/2 and 6/u + (-1185)/200.
20
Let w(o) = -o**2 - 22*o - 21. Let c be w(-21). Find the common denominator of 51/2 and c - (24/(-140))/((-2)/10).
14
Suppose -5*q + 19 = -z - 21, 4*z - 11 = q. Let i = 76 - 64. Let j = 17 - i. What is the lowest common multiple of q and j?
45
Calculate the common denominator of -99/128 and 15/(-144) + 49/(-21) + 3.
128
Calculate the lowest common multiple of 48/14*(-567)/(-18) and 18.
108
Let f(n) = -n + 1. Let s(l) = 2*l + 2. Let m(q) = -5*f(q) + s(q). Calculate the smallest common multiple of m(1) and 22.
44
Suppose -8*z + 3200 = -704. Calculate the lowest common multiple of z and 4.
488
Let w(m) = 4*m**2 + 2*m + 2. Let t be (-16 - -1) + 0 + 0. Let j = 13 + t. Calculate the lowest common multiple of w(j) and 20.
140
Suppose 5*b - 19 = 11. Suppose 4*w = -3*g - 431 + 32, 5*w + 3*g + 498 = 0. Let l = 119 + w. What is the smallest common multiple of l and b?
60
Let t = -361 + 370. Calculate the smallest common multiple of t and 227.
2043
Let y = 4483/4 + -1116. Let r be ((-64851)/(-1372))/((-9)/(-6)). Let w = -4/343 + r. Calculate the common denominator of w and y.
4
Let h(l) = -l**3 + 6*l**2 + 5*l - 8. Let o be h(7). Let k = o - -34. What is the least common multiple of 20 and k?
60
Let z = -11381/4 + 2821. Find the common denominator of z and (-1 - -3)*((-792)/(-128) + -1).
8
Let y = 40041014113/8971830 + -12142978/2727. Let h = y + -1/8883. Calculate the common denominator of -15/11 and h.
110
Let g(c) = 4*c - 4. Let a = 39 - 38. What is the smallest common multiple of g(4) and a/7 - 0 - (-1590)/42?
228
Let y(k) = -k**3 + 11*k**2 - 5*k - 7. Let q be y(9). Calculate the common denominator of q/(-15)*(-81)/(-96) and 79/48.
48
Let p = 5279 + -3943415/747. Let w = -12659/14940 + p. What is the common denominator of w and 29/2?
20
What is the common denominator of 14/(-63) - (-464)/(-99) and (54*(-4)/38)/2?
209
Let b be (-12)/(-8) - (-5)/2. Suppose 8 = 3*w - n, 4*w - n - b = 2*n. Calculate the lowest common multiple of w and 2.
4
Calculate the lowest common multiple of 20 and 88/(-5)*210/(-84).
220
Suppose 3*r - 12 = -2*h + h, 49 = 2*h + r. Suppose c - 43 = -4*t, -7*c - 25 = -2*c. What is the least common multiple of h and t?
108
Suppose 2*l - 34 = 2*u, 7*u = 2*l + 12*u - 20. Calculate the lowest common multiple of l and 5.
15
Let g(v) = 2*v - 3. Let l(f) = f - 1. Let a(y) = -2*g(y) + 7*l(y). Calculate the least common multiple of 6 and a(5).
42
Let v = 6/23447 - 19742404/117235. Let h = -173 - v. Find the common denominator of ((-175)/28)/(3/12) and h.
5
Let n(a) = -33*a + 159. What is the least common multiple of 84 and n(3)?
420
Let p = 321 + -319. What is the smallest common multiple of p and 5?
10
Let f = -188027/32 + 5875. Find the common denominator of f and 135/144*(3/(-30) - -1).
32
Let x be 2237/(-40) + 18/24. Let p = 55 + x. Calculate the common denominator of -1/36 and p.
360
Let i = 6 - 4. Suppose -2*d + i*b + 20 = 0, 2*d + 2*b + 11 = 3*d. What is the lowest common multiple of d and 14?
126
Suppose -3*m + 2*j + 7 = 0, 6 = 3*m - 4*j + j. Calculate the least common multiple of 180 and m.
180
Let f be (8/(-3))/((-2)/6). What is the common denominator of 15/76 and (46/f + -1)/(10/30)?
76
Suppose g - 55 = -2*a, 4*a - 2*g = 3*a + 20. What is the smallest common multiple of 2 and a?
26
Let h = 2 - -4. Let n(a) = a**2 + 4*a - 3. Suppose 2*o + 7 + 5 = 0. Calculate the lowest common multiple of n(o) and h.
18
Suppose 0 = 9*h - 5*h + 220. Let f = h + 61. What is the smallest common multiple of f and 13?
78
Let a(k) = k**3 - 11*k**2 - k + 13. Let t be a(11). Suppose -t*u - 4*x + 30 = 8, -55 = -5*u - x. What is the smallest common multiple of u and ((-30)/4 + 2)*-2?
11
Suppose 0 = -6*o + 3*o - 9. Calculate the common denominator of (2 - (-519)/(-66)) + 3 and ((-249)/(-20) - 4) + o.
220
Suppose l - 6 + 4 = 0. Calculate the smallest common multiple of l and 18.
18
Let n(f) = f**3 + 14*f**2 - 18*f - 18. Let q be (-2346)/161 + (-6)/14. What is the smallest common multiple of n(q) and 8?
216
Let f = 47/5 - 104/5. What is the common denominator of -31/10 and f?
10
Let d(p) = -2*p + 2. Let n be d(0). Calculate the common denominator of n + -2 + 115/14 and 73/14.
14
Let c(z) = z**2 - 7*z + 6. Suppose l + 8 = 13. Let q be c(l). Calculate the common denominator of 13/22 and 1/q*123/(-9).
132
Let o be 1/((-12)/(-1234)) - -3. Let p = -1403/12 + o. What is the common denominator of (-6)/16 + 1133/88 and p?
12
Suppose -3*i - 44 - 39 = -4*b, 2*i + 5*b + 86 = 0. Find the common denominator of 8/44 + 446/i and -67/2.
6
Suppose -9*k = -4*k - 20, 944 = 5*j - 4*k. What is the lowest common multiple of j and 168?
1344
Find the common denominator of 255/930*-15*1/(-27) and 73/682.
6138
Suppose 13*v - 10*v = 6. Suppose -7*b + v*b = -25. Suppose 2*o - 42 = 3*h - h, 5*h = -b. What is the least common multiple of o and 30?
60
Let b = 4 - 2. Let f(h) = -1 + h + 3 + 2 - b. What is the smallest common multiple of 22 and f(2)?
44
What is the common denominator of (-4134)/720 - (-2 + 24/30) and 91/54?
216
Let p = -48 - -191/4. Let x = -180 - -85. What is the common denominator of (x/25)/((-16)/(-10) + 0) and p?
8
Suppose -5*o + 3*i + 123 = 0, 9*o = 5*o + 4*i + 100. Wha