)?
2046
Suppose 0 = 5*o - 2*o + 6, 3*o + 138 = 4*i. Calculate the common denominator of -97/12 and ((-1)/i)/((-2)/(-632)*-4).
132
Suppose -5*p = -4*b + 7612, -5*b = -5*p + 2190 - 11700. What is the smallest common multiple of 22 and b?
20878
Let v = -6571 - -1813. Let i = -42776/9 - v. Calculate the common denominator of i and -13/6.
18
Let l(w) = -w**2 + 15*w - 24. Let a be l(15). What is the smallest common multiple of 5 + 8/a*-27 and 12?
84
What is the common denominator of 2/(-13) + 16020/2730 and 9/1661?
11627
Let n(d) = d**2 - 30*d - 217. Let i be n(-6). What is the least common multiple of 3 + ((-188)/(-32) - i/8) and 141?
423
Let g be 594/126 + 0 + 2/7. Let s be (-2625)/18 - g/30. Let j = 1423/10 + s. Find the common denominator of j and -71/10.
10
Suppose 13*q + 77 = -79. Let x be (-2)/(-4)*q/38094. Let w = -539683/114282 - x. What is the common denominator of -89/2 and w?
18
Let y be (1 - 2)*(4 - 5). Let p be y - (-2200)/4 - -1. Let u = 9380/17 - p. Calculate the common denominator of -53/10 and u.
170
Let q = -8532 - -8554. What is the least common multiple of q and 3818?
41998
Let d = -16609/4 + 7291335/1756. Let w = d - -29437/2634. What is the common denominator of w and (-7)/16*44/3 + 2?
12
Suppose 0 = 2*p - 5*i + 11, 2*i = -3*p + i + 9. Suppose 0 = -3*n + 5*n - 3*s - 47, p*n - 7 = -5*s. What is the smallest common multiple of n and 4?
16
Suppose 3*g - 61*u = -41*u + 614, -4*u - 218 = -g. What is the smallest common multiple of g and 1836?
12852
Find the common denominator of -64/15 and 1027/(-711)*9/150*1.
150
Suppose 10*q - 8*q - 1734 = -454. Calculate the smallest common multiple of q and 32.
640
Suppose -19*o - 2*l = -22*o + 878, 0 = -o - 3*l + 300. What is the least common multiple of o and 98?
294
Let n = 4121/840 + -1/168. Suppose -3*g = 4*d + 560, -17 = -d - 13. What is the common denominator of n and 164/6*36/g?
40
Suppose -34*z = -3*r - 33*z + 3148, 0 = -3*r + 4*z + 3160. What is the least common multiple of 4454 and r?
17816
Suppose 63*q = -80*q + 41539 + 7224. What is the least common multiple of 451 and q?
13981
Let o = 33977/869 + -3092/79. What is the common denominator of o and 49/474?
5214
What is the common denominator of 2/705 and (5 + (-685)/125)*(-2 - (-45)/24)?
7050
What is the lowest common multiple of 10 and (6 - 6/(-2))/(-1) - -418?
4090
Let p be (7/(-2) + 3)/(5/(-2380)). Suppose 3*t + p = 5*x, -3*x + t + 146 = -0*t. What is the least common multiple of 40 and x?
200
Suppose -37*r = -24*r - 23*r + 330. Calculate the smallest common multiple of r and 357.
3927
Let p(x) = 23*x - 5. Let o be p(-10). Let d = 249 + o. Calculate the smallest common multiple of d and 8.
56
Suppose 5*j = a - 3086, -5850 = -2*a + j + 358. Let o = -90095/29 + a. Let s(z) = z**3 + 5*z**2 - 10*z + 1. Find the common denominator of o and s(-7).
29
Let l be 1*(0 + 1) - -1. Let a be (9 - 12) + 11 + 4. What is the common denominator of 2/a - 3 - l and -40/3?
6
Let o = -458 + 479. Let z(v) = -6*v + 168. What is the lowest common multiple of 15 and z(o)?
210
Let t(x) = -57*x - 390. Suppose -2*a = -131 + 145. Calculate the least common multiple of t(a) and 6.
18
Let s = 6782 + -108605/16. Calculate the common denominator of s and 81/2506.
20048
Suppose -106*g = -115*g + 18. Calculate the common denominator of (-22)/220*(-71)/g + 0 and -1/9.
180
Suppose -6*d - 10 = 32. What is the lowest common multiple of -4 + (-590)/d + (-10)/35 and 50?
400
Calculate the least common multiple of (-138)/1449 + (-6560)/(-84) and 366.
4758
Let l = -1874 + 1937. What is the least common multiple of 162 and l?
1134
Suppose 7*p - 14*p = -u + 3353, 5*u = p + 16935. Calculate the smallest common multiple of 2 and u.
3388
Let x = -848839/11088 - -1607/21. What is the common denominator of -41/1296 and x?
14256
What is the common denominator of 22/2499 and 84069/(-8379) - ((5 - 18) + 3)?
47481
Suppose -2*x = 4*d + 1868, -x - 1400 = d + 2*d. Find the common denominator of d/(-168) + (-162)/42 + 4 and -65/8.
24
Find the common denominator of -95/246 and ((-110)/3157)/(4/(-21)).
246
Suppose 5*s + 2*t + 79 + 31 = 10*s, 0 = 5*t. Calculate the lowest common multiple of s and 8650.
95150
Find the common denominator of -97/54 and 5341/654*((-9)/(-27))/(302/12).
8154
Let w be (-25)/(-12)*1668/(-33). Let z = -1404/11 - w. Calculate the common denominator of z and 90/(-10) + (-42)/(-4) - 45.
6
Let x = 93 + 128. Suppose 4*d + 21 = x. Suppose -5*t + d = 5*r, 0 = -4*t - 0*t + r + 15. What is the least common multiple of 6 and t?
30
Let k = -77977/14 - -5563. Find the common denominator of (-52)/(-44) + -1 - 194844/24024 and k.
14
What is the least common multiple of 187/(-85)*5 - -302 and 8?
2328
Suppose 4*w - 5 = 19. Let d(f) = 4*f + 3. Suppose 0*a - 4*m = -a + 4, -a - 4*m = -12. What is the smallest common multiple of d(a) and w?
210
Let f = -156 - -168. Suppose 0*b = -7*b + 196. Calculate the smallest common multiple of f and b.
84
Suppose -2*z = -5*r + 5207, 0 = 5*r - 3*z + 6*z - 5202. Let u = -3218/3 - -1096. Find the common denominator of -5 - (6 + r/(-72)) and u.
24
Let x = -4/13787 - 233175/4149887. Calculate the common denominator of 26/107 and x.
32207
Calculate the lowest common multiple of ((-3)/(-18) - (-29)/6)/(3/156) and 312.
1560
Let g = 9566 - 8741. What is the least common multiple of g and 3150?
34650
Let j(k) = 2*k**2 - 4*k - 26. Let x(o) = -o**2 - 32*o + 638. What is the least common multiple of x(12) and j(6)?
110
Suppose -2*p = -5*p - 127584. Let k = -1871125/44 - p. What is the common denominator of ((-18)/27)/((-2634)/(-894) - 3) and k?
132
Let r(f) = f - 6. Let u be r(8). Let p be 2*u - (-15)/(9975/(-938)). Let d = 5/114 + p. Find the common denominator of d and 32/15.
30
Let m = 67826753/1160 + -233885/4. Calculate the common denominator of m and -11/30.
3480
Let n = -127979/16 + 8002. Find the common denominator of 41/13600 and n.
13600
Suppose 0*c = 3*f - 3*c - 108, 4*f = -3*c + 123. Let q = 35 + -30. Suppose -b = 5*d - 10, 0*d + 35 = 2*b - q*d. Calculate the least common multiple of b and f.
165
Let d = -8497/6 + 1410. Find the common denominator of d and (212/(-1266))/((-484)/(-363)).
1266
Let t be (-14)/(-49) - 24/(-14). Let u = -7317/56 - -940/7. What is the common denominator of t/9 - 2453/198 and u?
24
Let l be (15/(-21770))/(1*3). Let a be 7/(-6531)*(-463725)/(-112). Let t = l - a. Calculate the common denominator of 79/10 and t.
80
Let q(p) = p**3 + 17*p**2 + 15*p - 7. Let n be q(-16). Suppose 2*v = -5 + n. Find the common denominator of (-10)/(-3) + (3 - (1 + v)) and 48/29.
87
Let r be 5167173/(-1144) - -1*-4*1. Let g = 4520 + r. Calculate the common denominator of 25/2 and g.
104
Let k = 649/48 + -43/16. What is the common denominator of (-3)/(12180/(-7414)) + 262/(-3799) and k?
210
Let d = 460 + -255. Let r = 225 - d. Calculate the smallest common multiple of r and 10.
20
Suppose 204 = -63*w + 336 + 876. Calculate the lowest common multiple of 428 and w.
1712
Let g(w) = 6*w**2 - 3*w - 2. Let z be g(-1). Suppose -z = -6*r + 5*r. What is the common denominator of 245/(-84)*(-58)/r and 5/2?
6
Suppose -343*n + 347*n = 3*a + 1308, -2*n - 5*a + 628 = 0. What is the lowest common multiple of n and 324?
324
Let m = -22576 + 2393037/106. What is the common denominator of -107/1060 and m?
1060
Let p(u) = 7*u**2 + 13*u + 7. Let n(k) = 7*k**2 + 13*k + 8. Let w(z) = 3*n(z) - 2*p(z). What is the lowest common multiple of 20 and w(-4)?
140
Let p(w) = 7*w**2 - 46*w + 152. What is the lowest common multiple of p(4) and 200?
400
Let b = -773 + 6934/9. Calculate the common denominator of b and -1*4/4 + ((-2223)/(-209))/(-13).
99
Suppose -3*a = -3 + 9. Let w = -5433/3682 + -44/263. What is the common denominator of 1/(-232)*a*79 and w?
812
What is the smallest common multiple of 5588 and 138/46 + 3*(-8)/(-12)?
27940
Let k = 279 - 2255/8. Let g = -15703/2263 + 423/62. What is the common denominator of k and g?
584
Let l(g) = -285*g + 2973. Calculate the lowest common multiple of 1440 and l(9).
24480
Suppose 0 = -56*d - 217*d + 4950 + 3240. What is the smallest common multiple of 2040 and d?
2040
Suppose -1493*c + 1510*c - 24990 = 0. Calculate the smallest common multiple of c and 1029.
10290
Let m(o) = 9*o - 11. Let a(d) = -28*d + 32. Let r(u) = 6*a(u) + 