e the common denominator of (-538)/19368*(2/8 + (-1353)/1596) and 13/304.
6384
Let d = 378833/22 + -17215. Let s(f) = 1735*f**3 - f + 2. Let p be s(1). What is the common denominator of d and ((-24)/(-308))/(32/p)?
22
Let t(l) = 10*l + 42. Let n be t(-5). Let c(s) = s + 23. Let j(g) = 6*g. What is the smallest common multiple of c(n) and j(1)?
30
Let k(t) = 4*t + 148. Let b be k(-33). Suppose 6 = 3*m, -m + b = 2*r - 4. What is the least common multiple of r and 54?
54
Let k = -663653/45 - -14747. Let m = -34988 + 1399423/40. Find the common denominator of k and m.
360
Calculate the least common multiple of ((-32)/(-12) + 4)/((-2)/(-3)) and (12/(-10))/((-21)/315).
90
Let p = 25/2222 - 197377/2039796. What is the common denominator of p and 47/510?
9180
Suppose -88*s + 16 = -80*s. What is the common denominator of (3/s)/(450/2675) and 37/84?
84
Let y = -143 + 142. What is the common denominator of -29/76 and ((-3)/(-66))/y*93/(-2)?
836
Suppose 0 = 9*x + 11 - 110. Suppose 0 = 2*y - x + 1. Suppose -y*t = -t - 4. What is the lowest common multiple of t and 13?
13
Let g(u) = 380*u - 2658. What is the smallest common multiple of g(7) and 3240?
3240
Suppose 5*a - f + 17328 = 0, -5300 - 1645 = 2*a - 5*f. What is the smallest common multiple of 64 and a/(-441) - (-2)/(-28)*-2?
64
Let t = 31507/20 - 6347/4. Calculate the common denominator of t and -83/280.
280
Suppose 2068 = -12*y + y. Let c = -179 - y. What is the lowest common multiple of c and 69?
207
Let r be 5/(-1)*4*18/60. What is the common denominator of r/(-90)*(3 - 147/(-4)) and -79/86?
860
Let s = 174 + -112. Calculate the least common multiple of 15/(-21) + 1 - 8775/(-819) - 7 and s.
124
Suppose -58*m = -57*m - 19. Let h(i) = i**3 - 17*i**2 - 38*i + 32. Calculate the smallest common multiple of 64 and h(m).
64
Suppose -3 = 3*i, 4*x + 7*i = 2*i - 1205. Calculate the common denominator of ((-1836)/(-1800))/(18/15*(-6)/(-42)) and (436/x)/((-4)/10).
60
Let o(f) = -f**3 - 5*f**2 + 3*f - 3. Suppose 8*a + 755 = 971. What is the lowest common multiple of o(-6) and a?
135
Let z = 1/4511096 + -87332563023/49622056. Let t = z - -1764. Let m = 32011/2 - 16037. Find the common denominator of m and t.
22
Suppose 0 = -d - 0*d - 23. Let p = d - -24. What is the smallest common multiple of 4 and -10*(-8)/(5 - p)?
20
Let s be (0 - -9 - 1)*1. Suppose s*x - 3*x - 2527 = -4*o, 2*x = o - 622. Let m = -2437/4 + o. Calculate the common denominator of 85/22 and m.
44
Find the common denominator of (-1102)/(-4620) + (2316/(-60) - -38) and -53/1848.
1848
Let n be (-20)/70 + (-23)/(-7) - -46. Let d = n + -47. Find the common denominator of d/3*(-1)/4 and -13/50.
150
Let b(v) = 9*v**2 + 5*v - 40. Let d be b(8). Suppose d + 40 = 14*a. Find the common denominator of a and -71/32.
32
Let g be (-57 - -1)/((-32)/(-48)). Let i = g - -249. What is the common denominator of (-2)/(0 - i/25) and 8/3?
33
Suppose -3*j + 235 = -d, -5*j + d + 389 = -0*d. Let g = -9903 + 9924. Calculate the smallest common multiple of g and j.
231
Suppose 3*j - 201 = -4*u, 5*u = -2*j - 5*j + 261. Suppose p = -0*p - 4*t + 34, -5*p + 5*t = -70. What is the least common multiple of p and u?
144
Let h = 99739/101010 - -19/3885. What is the common denominator of h and -163/60?
780
Let r = -3/5669 - -515951/136056. Find the common denominator of r and 41/1344.
1344
Suppose 0 = -2*v - 41*y + 46*y + 1040, 4*v = 5*y + 2040. What is the lowest common multiple of v and 25?
500
Let v = 2430 - 2250. What is the least common multiple of 280 and v?
2520
Let y(s) = -4500*s**3 + s + 3. Let v be y(3). Let p = v - -28429663/234. What is the common denominator of -67/3 and p?
234
Suppose -19*x + 2*o = -9418, -4*x - 5*o = -2*x - 1007. Calculate the lowest common multiple of x and 9.
4464
Find the common denominator of 1/549 and 3/(-8) + (1876/9394 - (-30)/220).
4392
Let k = -1454 + 1466. What is the least common multiple of 48 and k?
48
Let y = -63836 + 63872. Suppose -3*w = 4*g - 46, 4*g + 62 = -2*w + 5*w. What is the smallest common multiple of w and y?
36
Suppose -60 = -3*a + 2*a. Suppose a*b - 24 = 56*b. Suppose 166*m - 42 = 145*m. Calculate the least common multiple of b and m.
6
Let g = -656/31667 - -4062472301/380004. Let l = g + -10681. Let p = 4115 - 49343/12. What is the common denominator of p and l?
12
Let r = 44 + 76. Suppose -569 = -86*u + 2205 - 624. Calculate the least common multiple of r and u.
600
Let l = 6435 - 3697. Let q = -915648 - -5477401/6. Let w = l + q. Calculate the common denominator of w and 17/15.
30
Suppose n = -0*n. Suppose -a - 3*i + 88 = -5*i, n = 2*a - 5*i - 181. Suppose 21892*s = 21883*s + 126. What is the least common multiple of a and s?
546
Calculate the common denominator of 8/33 and (-56)/18*420/(-3040).
1254
Let t = -17708/33 + 65626277/122298. Calculate the common denominator of t and -65/872.
14824
Let m = -44269/4 + 28730495/2596. Find the common denominator of m and -35/118.
1298
Find the common denominator of (-213908)/23728 + 5 + 4 and 123/20.
29660
Find the common denominator of 17/189 and (-4)/9 - (-7 - 3685/(-540)).
756
Let n(j) = -1. Let t(z) = -8*z + 32. Let v(p) = 10*n(p) + t(p). Let w be v(5). Find the common denominator of 34/33 and (-4)/w - (-510)/297.
33
Let s = 28979 + -57941/2. Calculate the common denominator of s and 85/122.
122
Let g = -5 - 4. Find the common denominator of ((-1)/(-4))/(g/(-339)) and 71/(12496/32) + ((-1)/2 - -2).
132
Let n = 409 + -248. Let c = n + -108. Let r = c - -24. What is the smallest common multiple of 4 and r?
308
Suppose 0 = -2*c - 34 + 104. Calculate the smallest common multiple of 4221/402 + (-51)/6 and c.
70
Let o = -26662 + 293338/11. Find the common denominator of -117/20 and o.
220
Let j = 3980/2259 - -4/251. Suppose -8*t + 660 = -2*t. Find the common denominator of j and (-4*(-1)/(-5))/(t/(-575)).
99
Let r = -147037 - -242169896/1647. What is the common denominator of r and 55/3843?
11529
Let r = -624 - -654. Calculate the lowest common multiple of 312 and r.
1560
Let f = 732 - 726. Calculate the least common multiple of ((-6)/(-9))/((-2)/(-99)) and f.
66
Let m = 4473 + -4387. What is the smallest common multiple of 11 and m?
946
Suppose 0 = 5*t - 25, 0*z = -4*z + 3*t + 81. What is the smallest common multiple of z and 231?
1848
Let l = -30 + 25. Calculate the common denominator of 151/18 and ((-82)/12)/(-4 + l/10).
54
Let a(d) = -2*d**3 + 16*d**2 + 9*d + 5. Calculate the lowest common multiple of a(-3) and 154.
1232
What is the common denominator of 28/(-7315)*-37 - (-8)/(-76) and -103/198?
990
Let w = 125417/32 + -3919. Find the common denominator of -11/676 and w.
5408
Suppose h + 43 = 5*l, -3*l + 5*h = -0*l - 39. Suppose 2*f = -5*b + 64, 0 = -2*f - 5*b + l*b + 32. What is the smallest common multiple of f and 5?
110
Let l(n) = -37*n + 64*n - 23 - 30*n. Calculate the least common multiple of 8 and l(-20).
296
Let b be (-3822)/8*(-2534)/75. Let g = b + -16143. Find the common denominator of g and (15200/(-133))/50 + (-682)/(-280).
100
Let n = 20565227594986/73807453 + -86654966/311. Let y = n - -1/3251. Calculate the common denominator of y and 47/2.
146
Suppose 4*i = -3*u + 83, 2*u + 5*i = 3*i + 58. Calculate the lowest common multiple of u and 7.
231
Let t = -232 + 234. Suppose -128 = -t*m + 2*q, 2*m = 9*q - 11*q + 112. What is the lowest common multiple of m and 66?
660
Let j be 40/12 - ((-8)/12 - -1). Suppose -j = 5*x - 5*d + 2, -5*x = -3*d + 5. What is the lowest common multiple of 506/(-10)*x + 54/135 and 30?
510
Let u be (-2)/4 + 1 - (-209)/(-38). Let a be (0 + 1)/((-55)/10 - u). What is the common denominator of (a/(-8))/((-90)/1880)*3 and 77/30?
30
Let o = 5 + -30. Let z = 2 - o. Suppose 0 = -3*b - 71 + 98. What is the smallest common multiple of b and z?
27
Suppose 77*d + 8400 = 152*d. Calculate the lowest common multiple of d and (-24)/(-10)*240/18.
224
What is the common denominator of (6/15)/((-8)/(-5)) + 60/(-1440) and 121/156?
312
Let z = -4/24301 - -1263976/1968381. Calculate the common denominator of (-438503)/4806 - -95 - (-14)/(-12) and z.
81
Let z(b) = b + 1. Let q be z(-1). Let x(w) = 2*w + 1. Let f(g) = -13*g + 5. Let i(m) = f(m) + 5*x(m). Calculate the smallest common multiple of i(q) and 7.
70
Calculate the lowest common multiple of (-7)/((-83