Let s = 5358/7 - 48530/63. Find the common denominator of s and -57/1024.
9216
Let j(a) = 20*a - 77. Let c be j(4). Let s(t) = 16*t**2 - 14*t + 13. What is the smallest common multiple of 4 and s(c)?
460
Let s(a) = -2*a**2 + 5 + a**3 + 0*a + a - 5*a. Suppose 4*v - 14 + 2 = 0. Calculate the smallest common multiple of 84 and s(v).
84
Let m = 4526 + -4511. What is the least common multiple of 300 and m?
300
What is the common denominator of -29/2310 and (6 + (-114)/18)/((-13)/(11765/(-250)))?
11550
Let o = 1208243 - 826438061/684. What is the common denominator of o and -127/342?
684
Let k(p) = p**2 + 437*p - 2207. What is the least common multiple of k(5) and 5?
15
Let u(y) = 68*y + 12276. What is the least common multiple of u(-165) and 88?
1056
What is the lowest common multiple of 960 and (7 - -17)/(-3) + 7/((-49)/(-168))?
960
Let c(i) = -16*i**3 - 496*i**2 - 3*i + 11. Suppose -2*q + 27 = -5. What is the lowest common multiple of 1 + -1 - q/(-1) and c(-31)?
208
Suppose 0 = -14*y + 8*y + 324. Let c = y + -52. Calculate the common denominator of (-3)/c*(2 + 32/(-90)) and -16/15.
15
Suppose 1011*s = 783*s + 45600. Calculate the lowest common multiple of 1456 and s.
36400
Suppose 1785 - 3600 = 12*g - 31443. Calculate the lowest common multiple of 24 and g.
19752
Find the common denominator of (-17889)/890*(70/276)/(-7) and -24/5.
460
Let f = 82 + -80. Suppose -2*p + 193 = 5*q - 207, 0 = f*p - 10. What is the least common multiple of 36 and q?
468
Let u = 730702/89 + -8210. Calculate the common denominator of u and -59/5.
445
Suppose 38*k + 240 = -2*k. Calculate the common denominator of -37/7 and ((-100)/(-315)*-15 + -2)/k.
63
Let k = -5856 + 6436. What is the lowest common multiple of 1160 and k?
1160
Suppose -3*n - 4*a + 868 = n, 5*n - 1069 = 3*a. What is the common denominator of n/30*(-1)/(-1) and 4 + 177/99 + (-60)/45?
66
Let x be 2/2 - (3 - 957)/(-9). Find the common denominator of ((-5)/(x/(-14)))/(22/(-74)) and -1/24.
264
Suppose 0 = -6*j - 6 - 12. What is the common denominator of -91/12 and ((-14)/(-60) - j)*3*-1?
60
Let t be (-3)/2*-2*(-2)/(-3). Suppose t*d + 2*g + 2 = -0*g, d - 5*g - 5 = 0. What is the lowest common multiple of 21 and 7*10/35 - (d - 28)?
210
Calculate the smallest common multiple of (-5)/(-25) + 936/(-225)*-5 and 1464.
10248
What is the lowest common multiple of 9 and 51/((-4896)/(-64))*(-81)/(-2)?
27
Let s(l) = -4*l**3 - 35*l**2 + 30*l + 210. Let m(k) = k**3 + 3*k**2 - 2*k - 4. What is the lowest common multiple of m(5) and s(-9)?
1302
Suppose -4*c = -5*q - 754, -2*c + 67*q = 70*q - 366. What is the least common multiple of 124 and c?
372
Let v = 48 - 34. Let o be (4 + 0)*v/(-4). Find the common denominator of 57/14 and o/20*-2 + -4.
70
Let k(g) = 164*g**2 + g + 2. Let m be k(-1). Suppose -7*c + 12*c - m = 0. Find the common denominator of 43/8 and -2 - (-86)/(-96) - 22/c.
16
Let t = 1776 + -17663/10. Calculate the common denominator of 2*6/(-30) + 14742/1020 + -14 and t.
170
Let g = 317 - 266. Suppose -1122 = g*y - 4641. What is the lowest common multiple of 15 and y?
345
Let w(p) = -p**3 - p**2 - 2*p - 1. Let s be w(-1). Calculate the least common multiple of 354/24 - (s - 10/8) and 20.
60
Let f = 61 - 169/2. What is the common denominator of f and ((-9)/24 - 5)*60/(-150)?
20
Suppose 78*k = 2*f + 73*k - 191, -4*f + 3*k + 361 = 0. Calculate the least common multiple of 720 and f.
7920
Let c = -140 + 763/5. What is the common denominator of c and (94/180)/(-1) + (-33)/330?
45
Suppose -124*z + 160 = -116*z. Suppose 0*p = 6*p - 48. What is the lowest common multiple of z and p?
40
Suppose 5*m = m - 2*f + 162, f = 1. Suppose s - m = -10. What is the smallest common multiple of s and 50?
150
Find the common denominator of -133/78 and 4 - 1937/(-78) - (1 - -4).
78
Suppose -2*z + 2*q = 3*z - 146, z - 60 = -4*q. What is the smallest common multiple of z and 1820?
14560
What is the smallest common multiple of 108/(-60) + (-1324)/(-5) and 12?
3156
Let m(j) = -3*j + 71. Suppose -45*k = -43*k - 14. What is the least common multiple of 4 and m(k)?
100
Suppose 0*q = -q - 8*q + 54. Calculate the smallest common multiple of 1545 and q.
3090
Let q(n) = -2*n**3 + 33*n**2 + 19*n - 22. Calculate the smallest common multiple of 3240 and q(17).
3240
Suppose 3536 = 6685*r - 6668*r. What is the smallest common multiple of r and 8?
208
What is the common denominator of ((-24)/1800)/(51/(-68) + 27/20) and 65/693?
3465
Suppose 3*c = -u - 7, 2*c + 0*c + 16 = 5*u. Let t be (-36)/3*(u + 1). What is the common denominator of -77/10 and (183/t)/((-2)/2)?
60
Let l(g) = g**3 + 13*g**2 + 12*g + 6. Suppose 5*t - k = 121, -t + 3*k - k + 17 = 0. What is the least common multiple of t and l(-12)?
150
Let b(w) = 6*w + 81. Let f be b(-15). Calculate the least common multiple of 35 and (-1467)/(-27) - 6/f.
385
Let s = -36310366857/5432 + 6684530. What is the common denominator of 37/679 and s?
5432
Suppose 446 = -3*a + z, -436 = 3*a - 0*a + z. Find the common denominator of (-15)/5 - a/20 and 469/84 + (2 - 3).
60
Calculate the common denominator of 85/54 and (28/1134)/(100/(-255)).
270
Suppose 5*o + 2*j = 152, j + 3*j - 4 = 0. What is the smallest common multiple of o and 4*(-932)/(-176) + 10/(-55)?
210
Calculate the common denominator of -51/896 and 488/(-672) + (-65)/(-15) + -3.
896
Suppose 0 = -3*x + 4*d + 210, -14*x + 19*x = 4*d + 350. What is the least common multiple of x and 2086?
10430
Let c = -14100 - -14700. Calculate the least common multiple of 65 and c.
7800
Let g = -739 - -2243/3. Find the common denominator of g and 671/231 - (-6)/45 - 4.
105
Suppose 137 = 4*n - 2*s - 423, -4*n - 3*s = -560. Suppose -n = 8*t + 12. Let r = t - -25. Calculate the least common multiple of r and 12.
12
Let r = 415 - 410. Suppose 4*p - 29 = -3*g, -r*g + 0*p - 2*p = -67. What is the lowest common multiple of g and 99?
495
Let h = 276 + -278. Let y(v) = -41*v - 10. Calculate the smallest common multiple of y(h) and 8.
72
Let c be (10/5)/((-23188880)/5796972 - -4). Let z = 11687 + c. Calculate the common denominator of 48/5 and z.
620
Let u be (-6)/(-2) + (0 - (-1 - 2)). Suppose 0 = u*j + 143 + 517. What is the common denominator of 34 and 66/j - (-268)/(-70)?
7
What is the common denominator of -17/432 and -1 + 33/(-32) - (0 - (-123)/(-82))?
864
Let x be ((-11)/22)/((-3)/126). Suppose -x*c + 346 = -1145. What is the lowest common multiple of 11 and c?
781
Find the common denominator of -13/30 and 8/30*(3248/1920 - (-16)/(-40)).
90
Let y(z) = 25*z**2 - 62*z + 14. Let u be y(6). What is the common denominator of 7 - (u/54 - 3) and -23/81?
81
Suppose 4*r + 12 = 6*r. Let h = 88 - 88. Suppose h = 5*u + p - 95, 3 + 12 = -3*p. Calculate the least common multiple of r and u.
60
Let k = -16 + 52. Let q = 6462 - 6418. Calculate the least common multiple of q and k.
396
Let o = -9354 - -9368. Calculate the smallest common multiple of 464 and o.
3248
Suppose 15 - 27 = -4*m. Suppose -l + m - 2 = 0. Find the common denominator of 37/9 and l/1*-31*4/108.
27
Calculate the common denominator of 515*6/(-180)*(-2)/((-38)/(-3)) and 29/384.
7296
Let b(d) = 2*d**3 + 153*d**2 + 165*d + 90. What is the lowest common multiple of 6 and b(-75)?
4590
Let u be (-4)/(-2) + 118155/42. Let d = u - 2819. Let l = -445/228 + -164/19. Calculate the common denominator of d and l.
84
Let x = 24557 + -81357340/3313. Let l = 341257/59634 - x. What is the common denominator of l and 65/54?
54
Suppose -2*t - 3 = -b - 6, 2*t - 12 = -2*b. Suppose t*o + 5*i - 41 - 3 = 0, 4*o - 2*i = 24. Calculate the lowest common multiple of o and 56.
56
Let g = 13/176 - -983/1584. Let x = 59/120 - 3/40. Let s = -143/12 + x. Calculate the common denominator of g and s.
36
Let s = 1220/511 - -3/73. Let z be (-2 + (-78776)/(-22957))/(15/(-40)). Let g = z + -2/2087. Find the common denominator of g and s.
77
Suppose 0 = -3*p + 74*p - 42813. What is the smallest common multiple of p and 2?
1206
Calculate the common denominator of 85/4 and ((-5)/3122)/((-612)/45 + 14).
6244
Suppose 1 - 4 = -d. What is the common denominator of d/45*(-670)/12 and 48/2 + (-625240)/27840?
72
Let b = -39 + 44. Let z(v) = 5*v - 7. Let s(i) = -2*i**2 - 21*i - 39. Calculate the lowest common multiple of z(b) and s(-7).
90
Let n be (0 - 3) + 7 + -20