 Calculate the common denominator of j and 22/45.
180
Suppose -3*p = 108 - 18. Calculate the common denominator of 71/6 and 53/(-72) + (-15)/p.
72
Let g = 5867 - 105571/18. Calculate the common denominator of g and -55/136.
1224
Suppose 0 = 2*r + 3*r - 10. Suppose -q + 5 + 24 = 5*w, 2*q = r*w - 14. What is the least common multiple of 2 and w?
6
Let b(c) = 3*c + 8. Let m be b(16). What is the common denominator of -6/7 and m/6*(-48)/(-252)?
63
Let y = 1/48 + 181/240. What is the common denominator of y and -1/80?
80
Let q = 50498791/236478 - -1/21498. Let k = -212 + q. What is the common denominator of -55/3 and k?
33
Let o = -4/508261 + -1027195257/28462616. Let f = -247/8 - o. Find the common denominator of f and -63/20.
140
Find the common denominator of -113/308 and (85/8)/(7*(-2)/4).
308
Let s = 67216/43 - 1563. Find the common denominator of 45/44 and s.
1892
Suppose -3*a - 3112 = -5*a. Let g = 7819/5 - a. Calculate the common denominator of -37/7 and g.
35
Let q = -5 - -7. Let j(t) = -t**3 - 4*t**2 - 8*t - 5. Calculate the smallest common multiple of q and j(-3).
10
Let h(a) = 6*a**2 + 4*a + 1. Let i be h(-6). Let b be 1/3 - i/3. What is the common denominator of -206*(-4)/b + 2 and 13/7?
56
Suppose 3*s - 4*z = 123, -2*s + 2*z = 2*s - 174. Let b = 502/11 - s. Calculate the common denominator of 0 + (1 - 103/8) and b.
88
Let d(c) be the first derivative of 2*c - 4*c**2 + 4 - c + 0*c - 3*c. Calculate the common denominator of d(-6) and 71/4.
4
Let v(s) = -5*s**3 + 4*s**2 + 2*s - 6. Let m be v(3). Calculate the common denominator of (-3)/(8 - -1) + (-303)/m and 97/10.
110
Suppose -r - 2*r + 2*n + 1316 = 0, -r - 5*n = -416. Let t = -5197/12 + r. Let g = 897 - 9067/10. Calculate the common denominator of t and g.
60
Let n = 530 - 194. Let z = -2304/7 + n. What is the common denominator of (29/(-8) - 1) + 3 and z?
56
Let r be ((-246)/16)/(204/(-40)). Let z = 3/85 + r. Find the common denominator of z and 79/8.
40
Let v = 7 + -11. Let g(b) = b**2 + 5*b + 10. Let f be g(-5). Let d = v + f. What is the smallest common multiple of d and 6?
6
Suppose 5*n - 4*w - 225 = -2*w, 4*n - 3*w - 180 = 0. Let r = n + -27. What is the least common multiple of r and 15?
90
Let n be 3/(((-4)/6)/2). Let z = 1509 + -1471. Calculate the smallest common multiple of z and 6/n - 112/(-6).
342
Let f = -48548/105 + 2316/5. Calculate the common denominator of f and -79/75.
525
Suppose 3 = 2*d + 5*h, -1 = 3*h + 2. Suppose 4 = -d*z, -3*k + 2*z + 57 + 95 = 0. What is the smallest common multiple of 20 and k?
100
Let b(q) = -2*q**2 - 3*q + 7. Let f be b(-3). What is the least common multiple of ((-50)/(-175))/(2*f/(-56)) and (-2)/4 + 17/2?
8
Let f = -1270/39 - -16753/546. Calculate the common denominator of f and 3*(-3)/10 + 2.
210
Let h = 805/2 - 418. What is the common denominator of h and (-20)/24*(-636)/180?
18
Find the common denominator of 5/(-2)*((-444)/(-40) + -1) and 40/417.
1668
Suppose 5*d - 273 = 3*v, d - 4*v - v = 59. Let a be -3 + 0 - d/(-2). Suppose a = 5*x - 76. Calculate the lowest common multiple of 18 and x.
180
Let n(s) = -s**3 - 2*s - 5. Let x be n(-3). Calculate the smallest common multiple of 6 and x/4 + -4 - -24.
54
Let x(l) = l**3 + 12*l**2 + 11*l + 7. Let p be x(-11). Let c = -3197 + 70391/22. What is the common denominator of ((-3)/(-9))/((168/(-297))/p) and c?
88
Suppose -5*f + 2 = 2*d + 3, -d + 4 = -2*f. What is the lowest common multiple of -6 - (10 + 2)*-2 and 1*f + (-51)/(-3)?
144
What is the common denominator of (-5 - 1) + 2923/333 - -5 and -7/2?
18
Let d = 8 - 9. Suppose 0 = -g + 4*g - 54. What is the common denominator of ((-6)/g)/(d/9) and 61/4?
4
Let a be ((-1)/(-1))/(-1) - -3. Let j(x) = 2*x**3 - 2*x. Suppose -28 + 14 = p - 18. Calculate the lowest common multiple of p and j(a).
12
Let y = 5 + 10. Suppose -2*j = 1 - y. Suppose 0*m = -m + j. Calculate the smallest common multiple of 7 and m.
7
Suppose -3*c + 640 = 2*c. Suppose -2*y + c = 3*v, 0*y = 5*v - 3*y - 245. What is the smallest common multiple of v and 11?
506
Suppose -2*k + 156 = 4*g, -3*k - 2*g + 94 = -144. What is the least common multiple of k and 24?
240
Suppose 39 + 18 = 4*q - 5*m, -q - m + 21 = 0. Calculate the smallest common multiple of q and 36.
36
Let v be (-698)/(-350) + 18/63. Let d = v + -4309/300. Calculate the common denominator of d and -71/12.
12
Let z = 2346 - 2336. What is the least common multiple of z and 230?
230
Let z = 622 - 6865/11. Let c = 4412 - 163230/37. Calculate the common denominator of c and z.
407
Let j = -3/145 + 2273/11745. Find the common denominator of -61/45 and j.
405
Let w = -4509787/256 - -17616. Calculate the common denominator of w and 43/14.
1792
Let d = -65568/11 - -5956. Let y(v) = 6*v**3 + v**2 - 2*v + 3. Let p(j) = j**3. Let n(g) = -4*p(g) + y(g). What is the common denominator of n(2) and d?
11
What is the common denominator of 87/8 and ((-7)/(-42))/((-6)/266)?
72
Let h be 1758063/(-297) + (-18)/(-81). Let z = -5915 - h. What is the common denominator of -9/46 and z?
506
Let z = 5/444 + 611161/444. Let y = -1427 + z. What is the common denominator of -24/23 and y?
46
Let l be (478/(-4))/((60/(-68))/3). Let w = l + -396. Find the common denominator of w and -65/8.
40
Calculate the common denominator of -81/10 and -8 + (-9 - 3358/(-192)).
480
Let o be ((-111)/6)/((-2)/12). Suppose 115*f = o*f + 16. Suppose -j + 3 = n, 3*j - n = -3*n + 8. What is the least common multiple of f and j?
4
Let m = 1323 - 1275. Find the common denominator of m and -103/36.
36
Let y(j) = -j**3 + 21*j**2 + j - 21. Let s be y(21). Suppose s = -12*h + 8*h + 88. What is the least common multiple of 14 and h?
154
Let h = -891 + 3023. Suppose 8279 = -3*s + h. Let o = 18386/9 + s. What is the common denominator of 13/14 and o?
126
Let p = 303327/64 + -4741. Calculate the common denominator of p and -79/48.
192
Let m = -80/20400563 - -335529257261/305396428110. Let r = 2/1497 + m. What is the common denominator of r and 83/42?
210
Suppose -2*h = -2*w + 26, -2*w - 2*h + 61 = 3*h. What is the smallest common multiple of 42 and w?
126
Let f = 44413 - 13812396/311. Find the common denominator of 20/7 and f.
2177
Let n be (1 + -1 + 0)/1. Suppose -5*s = 5*f - 40, 5*s + 59 = -n*f + 4*f. Let o = f - 6. What is the lowest common multiple of o and 3?
15
Let l = -3/19330 - -773599/2570890. Calculate the common denominator of l and -59/6.
798
Let h(v) = -10*v**3 - 1. Let u be h(2). Let f = 94 + u. Calculate the least common multiple of f and 9.
117
Let d = -15 - -9. Find the common denominator of -18/11 and d/10*((-126)/(-6) + -3).
55
Let i(b) = b**3 - 5*b**2 - 5*b - 8. Let x be i(6). Let a be (-3 + (-38)/4)*x. What is the least common multiple of ((-160)/a)/(2/(-5)) and 7?
112
Let d = 570/377 - 20/87. What is the common denominator of d and 31/9?
117
Suppose 2738*h + 304 = 2757*h. Suppose 4*c + 0*j - 3*j = 57, 2*c - 33 = 3*j. Calculate the least common multiple of 1/2*0 + c and h.
48
Suppose 2*v + 2117 = 9. Let j = v + 1999. Let q = -15155/16 + j. Calculate the common denominator of q and 89/12.
48
Let b(y) be the first derivative of -3*y**4/4 + 2*y**3/3 + y**2/2 - 4. Let k be b(-1). What is the least common multiple of 12 and (k/(-4) - 1)*-1?
12
Suppose 20*z - 5058 + 58 = 0. Calculate the smallest common multiple of 50 and z.
250
What is the common denominator of 3*(-13)/78*65/(-4) and 56/11?
88
Let c be (1 - -1)*(-45962)/(-128). Let k = c - 1437/2. Find the common denominator of -53/6 and k.
96
Suppose 0*m - 3*m = 144. Let h = m - -57. What is the smallest common multiple of h and 58?
522
Suppose 46*s + 30 = 51*s. Let a = -34 + 82. Suppose 0 = 4*u - u - a. Calculate the lowest common multiple of s and u.
48
Suppose -37*v + 180 = -33*v. What is the lowest common multiple of 4 and v?
180
Suppose 21 = -3*o + 4*o + 3*b, 91 = 4*o + 5*b. Calculate the common denominator of (166/o)/(7/14) and (-42 - -1)/(12 - 5).
42
Let v = -8506 - -127673/15. Calculate the common denominator of v and -73/6.
30
Let s = -4/5411 + -675943/584388. What is the common denominator of s and -117/20?
540
Let i(d) = d**2 - 7*d + 12. Let t be i(7). What is the common denominator of -14/9 and (-1)/30 + (-9)/((-270)/t)?
90
Let p be 6*(-3 + (-14265)/(-84)). Let b = 997 - p. What is the common denominat