.
1908
Let x be -2 + (-2)/(-1) - -1. Calculate the common denominator of 59/18 and 67/201*-25*x/8.
72
Let t be (0 - 12) + (-3)/1. Calculate the smallest common multiple of 20/t*18/(-4) and (-434)/186*(-12)/14.
6
Let m = -412822/121815 + 1/27070. What is the common denominator of -43/4506 and m?
13518
Find the common denominator of 1645/(-25725)*((-8)/(-24))/(1/3) and 1/6510.
45570
Let s = -191/2110 + -2/211. Let c(d) = d**3 + 10*d**2 + 9*d - 3. Let x be c(-9). Find the common denominator of s and (-73)/x*-1*1/3.
90
Let w be -7 + 13 - 180/186. Let u = w - -269/310. Calculate the common denominator of u and -101/94.
470
Let m = -1954 - -2199. Calculate the lowest common multiple of m and 18.
4410
Suppose 45 = 3*c + 69. Find the common denominator of 78/16*c/146 and -23/8.
584
Let l = 38 + -30. Let k(z) = l + 11 - z + 3 + 2*z. What is the lowest common multiple of k(-10) and 16?
48
Let o be 3 + (2 - (23 - 2)). Let h be (15/12)/(-4 - 60/o). Calculate the least common multiple of (6/h)/(18/(-90)) and 12.
12
Let u = 42401/6 + -7083. Calculate the common denominator of u and ((-84)/(-105))/((-222)/100).
222
Let n = 24329/6 - 4072. Suppose -y + 5*a - 6 = 0, 0 = 2*y - 3*y - 2*a + 8. What is the common denominator of 50/28 - (y - 6) and n?
42
Let j = 35827/6 - 5958. Let r be 3/(-9) + -1 + (-426813)/(-31770). Let p = 2/1765 - r. Calculate the common denominator of j and p.
30
Let w = 1112 - 6703/6. What is the common denominator of 3/((-8)/28 - 0) and w?
6
What is the common denominator of (3/(-150))/((-4)/(-190)) and -139/78?
780
Let o be 1/3 + (-133721)/(-147). Suppose -o = -5*f + 1665. Calculate the smallest common multiple of f and 2.
1030
Let j(x) = 2*x - 1. Let d be j(11). Suppose 2*h - d = -31. Calculate the common denominator of h + ((-291)/18 - -4) and -47/24.
24
Let h = -32074 + -20670. Let x = -6645629/126 - h. Calculate the common denominator of 64/117 and x.
1638
Let u = -1286 + 844. Calculate the common denominator of -2 + 1858/(-476) + (-52)/u and 57/2.
14
Let a = -17560 - -526777/30. Let i = 1/1304 + -20975/144744. What is the common denominator of a and i?
1110
Suppose f + 16 = -3*f + 4*h, 3*h - 12 = -2*f. Suppose f = 3*n + 3*k + 21, 0*n - 4*n + 2*k - 46 = 0. What is the least common multiple of n/(-20) + 261/6 and 16?
176
Let t = 918/233 + -1854989/471825. What is the common denominator of t and -38/7?
14175
Let g(y) = 47*y - 1124. What is the least common multiple of 96 and g(56)?
36192
Let x be 0 - (-27 - (-4 - 0))/(-1). What is the common denominator of x*(15/(-18) + 1) and -5/24?
24
Suppose -v = -3*v + 8. Let g = 693 - 901. Let k = g - -245. What is the least common multiple of k and v?
148
Let i = -9981 - -10665. What is the smallest common multiple of i and 44?
7524
Let p = -179 + 166. What is the least common multiple of 12 and 2 - (p - (6 + -12))?
36
Let g = 626/351 + -295313/158301. Find the common denominator of g and 95/328.
3608
Suppose 2*m + 60 = -4*n, n = m + 5*n + 20. Find the common denominator of 11/21 and (-376)/m - 2/(-5).
105
Let q(d) = d**2 + d - 4. Let n(z) be the first derivative of z**3/3 - 7*z**2/2 - 38*z + 71. Calculate the smallest common multiple of q(-5) and n(-5).
176
Let i = -8 + 10. Calculate the common denominator of i - 95/(-18) - 0 and -20*50/480 - 4.
36
Suppose -3*x = q - 192, x - 8*q = -4*q + 51. Suppose -88707*h + 88775*h - 9996 = 0. Calculate the smallest common multiple of x and h.
441
Let f = -4236 + 5157. What is the least common multiple of 6 and f?
1842
Suppose 0 = 75*y + 50*y - 28500. What is the smallest common multiple of y and 231?
17556
Suppose 8*f + 3*h = 6*f - 2759, f + 1386 = 5*h. Let x = -1376 - f. What is the lowest common multiple of 12 - ((-1 - -1) + -1) and x?
65
Let f = -73 + 77. Let l be 26/(-143) + (-64)/11. Let j = 15 + l. Calculate the lowest common multiple of f and j.
36
Suppose -13 = -5*w + 7, 2*f - 3*w = 396. Suppose -8*m + f - 52 = 0. What is the least common multiple of m and 7?
133
Let w = -5/24222 - 1305713/11021010. Let l = w + 911/2002. Calculate the common denominator of -103/80 and l.
880
Suppose -355*r - 33*r = 26*r - 1267254. What is the least common multiple of 4 and r?
12244
Suppose -3*b = 4*a + b + 16, -2*b = -4*a - 40. Let r be ((-810)/(-24))/((-3)/a). Calculate the common denominator of 574/r + 2/9 and 8/11.
55
Let p = 84 + -62. Let t(y) = y**3 - 12*y**2 - 22*y + 2. Calculate the smallest common multiple of t(14) and p.
946
Let x = -1001064247/18 + 55598276. Let r = 16399 + x. Find the common denominator of r and 4 - (-3 + 2) - (-39)/24.
72
Suppose -83 = -4*s + 3*l, -l + 19 = 20. Calculate the lowest common multiple of s and 84.
420
Let g(z) = -5*z + 52. Let l be g(10). Suppose 4*y + 72 = l*k - 0*k, -94 = -3*k - y. What is the lowest common multiple of k and 8?
32
Let o(k) = k**3 - 8*k**2 + 7*k - 14. Let s be o(5). Find the common denominator of s/(-88) + -1 - 45/(-90) and -115/14.
308
Let p = 2348 - 2326. What is the smallest common multiple of p and 1124?
12364
Let r be 1/(-2 - 22/(-12)). Let z = -226688/15 - -15107. Calculate the common denominator of z and (-17)/r - (-12 + 16).
30
Let v = 5380 + -4490. What is the lowest common multiple of v and 55?
9790
Let d(k) = -69514*k**3 - k - 1. Let c be d(-1). Let h = 629590/9 - c. Let s = 440 - h. Find the common denominator of s and -40/9.
9
Let i = -208283943/698 + 298401. What is the common denominator of -67/20 and i?
6980
Let h(v) = 28*v + 40. Let a be h(8). Suppose -4*g + 14*o = 13*o - 352, -3*g - o + a = 0. Let n = -14 - -20. Calculate the smallest common multiple of g and n.
264
Let w be (-79359)/(-15)*(-4)/(-2182). Let s = 3/2182 + w. Calculate the common denominator of (-2 - (-12)/8) + 46 and s.
10
Suppose -26 - 59 = -5*h. Suppose h = 2*a - 15. Calculate the smallest common multiple of -35*(4/4)/1*(-32)/56 and a.
80
Let c = 1 + 1. What is the common denominator of c/5 - (-1402)/120 and 1/2 + 1 + 5291/(-8140)?
60
Let g be 1*0*4/24. Suppose 0 = 3*l - r + 2*r - 50, g = 4*l + 5*r - 74. What is the smallest common multiple of 16 and l?
16
Let v(o) = -18*o - 6. Let n be v(-5). Suppose -13*s + n = -267. What is the lowest common multiple of 72 and s?
216
Let a be (-5)/(-2 + (-55)/(-30)). Suppose 4*g + 44 = 3*p, a = 3*p - g + 4*g. Let o = -8 - -18. What is the least common multiple of o and p?
60
Calculate the common denominator of 5 + (-47474)/4200 + 6 and -143/30.
300
Suppose -5*g + 9857 = -4*k - 1241, 0 = 4*g - 5*k - 8873. Let r = g - 35595/16. What is the common denominator of r and 455/(-8)*(-4)/10?
16
Let s be -9*62/(-6) + 3 + -10. Suppose 3*v = -6, 0 = -6*k + 4*k - 5*v - 38. Calculate the common denominator of 87/22 and 1/(-8)*s/k.
616
Let u be (4 + 125197/(-1881))*7/(-574). Let y = -1/4059 - u. Calculate the common denominator of -7/60 and y.
1140
Let p = 2 + 0. Let j = 6997 - 27919/4. Find the common denominator of 1 + 399/(-48) + p and j.
16
Suppose -3*r - 37 + 7 = 0. What is the common denominator of (87/(-2))/((-180)/r) and 107/6?
12
Suppose -3*u - 140 = -17*u. Calculate the common denominator of u/(-30)*309/(-14) and -79/260.
1820
Let y be 1 - -6*2/(-3). Calculate the lowest common multiple of 2/y*(-1 - 2) and 11*(-1 - (-5 + 3)).
22
Let w = 75789940306224/143 + -37705495056275231331/71142500. Let i = 48/124375 + w. Let f = i - 3461. What is the common denominator of -35/22 and f?
220
Let o(l) = l**3 + 11*l**2 + 3*l - 15. Let p be o(-11). Suppose -5*d + 41 = -9. Calculate the smallest common multiple of (p/10)/(36/(-120)) and d.
80
Let n = 15157/1539 - 189/19. Let d = -11447/4122 - -38/229. Calculate the common denominator of d and n.
162
Find the common denominator of 9 - (7 + -3) - 3974/792 and -7/396.
396
Let u = -634157/321570 + 704/397. What is the common denominator of u and 11/30?
810
Suppose -2*g = -0*g - 20. Calculate the least common multiple of g and ((-60)/(-70))/((-21)/98) + 31 + -5.
110
Let j = 37/24 - 29/16. Calculate the common denominator of j and 81/464.
1392
Let y be (1008/(-49))/(4/(-42)). Let l = y + -150. What is the lowest common multiple of l and 42?
462
Let j = 100099 + -21821647/218. Calculate the common denominator of j and -103/40.
4360
Let h = 13 - 9. Suppose h*o + 39 - 507 = 0. Let d = -114 + o. Calculate the smallest common multiple of d and 21.
21
Let m be (-58