2. Let m = -144 + 140. Calculate the common denominator of 4/21 and g(m).
21
Let l(a) = -4*a - 28. Let t be l(-7). Suppose t = -3*n + 49 + 41. What is the least common multiple of 3 and n?
30
Calculate the common denominator of -77/36 and (-5)/(-24)*(-6 + (-1353)/(-216)).
1728
Let h be 216/(-16)*16/(-12). Suppose -3*o - h = -c, 12 = -6*o + 2*o. What is the smallest common multiple of 18 and c?
18
Let z = -638144421/115 - -11098207/2. Let v be 17065/575 - (-1)/(-5). Let g = z - v. Find the common denominator of 9/74 and g.
370
Suppose 0 = -9*y - 43*y - 1236 + 1756. What is the smallest common multiple of 3170 and y?
3170
Let s(f) = -9*f + 13. Let k = 46 + -40. Let m(b) = -4*b + 6. Let g(d) = k*s(d) - 13*m(d). Calculate the lowest common multiple of 24 and g(-4).
24
Find the common denominator of -9/1202 and 1/((-4)/3)*-31*(-4)/20.
12020
Let a = -1389 + 1422. What is the least common multiple of (1 + -3)*23*-1 + -4 and a?
462
Let b = 27 - 24. Suppose -q - 4*g = -5, -q = g + 5 - 19. Suppose q*l - 42 = 15*l. What is the least common multiple of l and b?
21
Let m(w) = w + 18. Let g be m(-13). Suppose 4*r = g*r + 2*n + 769, -4*r + n = 3103. Find the common denominator of (6/(-5))/((-220)/r) and 5/44.
44
Calculate the common denominator of 3 + (-2 - 17985/18460) and 39/10.
18460
Let q be (-1)/(97152/16196 - 6). Let w = 1976/3 - q. Find the common denominator of -82/21 and w.
42
Let y be -3 - 43/(1 + -2). Let z(r) = -7*r - 4. Let m be z(-2). Let c = m + y. Calculate the smallest common multiple of 8 and c.
200
What is the lowest common multiple of 330 and 96600/1472 + 38/16 + -2?
330
Let i = -75161 - -36877. Let n = -1454899/38 - i. Calculate the common denominator of n and -11/18.
342
Let d(r) = r**3 + 5*r**2 - r + 3. Let n be d(-5). Find the common denominator of ((-693)/(-18) + 13)/(-5) and 55/n + 2 + -1.
40
Let w = -80750448 + 223840246079/2772. Let c = 27/308 + w. Find the common denominator of c and -2 - (-198)/(-40)*2.
90
Suppose -2*r = 3*k - 5, -r - 2*r - 4*k = -8. Find the common denominator of 7/6 and r/3 + (-5)/(-480).
96
Let x(m) = m**2 + m - 4. Let c be x(-4). Let y(l) = -2*l - 3*l + 0*l + 7*l**2 - c - 6*l**2. Calculate the lowest common multiple of y(7) and 14.
42
Let v = -16811 - -19594. What is the least common multiple of 7 and v?
19481
Calculate the common denominator of (12118/(-1104) - (76 + -85)) + 2 and 73/144.
3312
Let i be -2 + -3 - -6 - (-2 - 306). Let w = i + -177. What is the lowest common multiple of w and 120?
1320
Let y be -3 + 1 - 12/(-3). Let h(s) = -56*s**2 + 57*s**y + s + 5*s - 19. Calculate the least common multiple of h(4) and 33.
231
Let m = 21987 + -21595. What is the least common multiple of 8792 and m?
61544
Suppose 20*d + 15552 = -108328. Let a = 309607/50 + d. Find the common denominator of a and 13/50.
50
Let o be (31041/390*-8)/((-36)/240). Let m = 4241 - o. Find the common denominator of -58/9 and m.
117
Let a = -944651/240 - -3936. What is the common denominator of 16/145 and a?
6960
Suppose -7*t + 2*t + 45 = 0. Let h be (2 - 44/t)*(-105426)/21. Let a = 14500 - h. Calculate the common denominator of a and -32/3.
21
Calculate the common denominator of 41/332 and (-6885)/(-3780)*(-14)/108.
5976
Let w be ((20/(-8))/(-5))/((-1)/60). Let g be (-1 - 1)/(6/w). What is the smallest common multiple of ((-70)/(-3))/(-7)*(-72)/g and 6?
24
Let w be (-8)/6 + (-4298841)/378. Let y = -11368 - w. Find the common denominator of y and 40/100 - (-284)/90.
126
Let v(s) = 344 - 343 + 2*s**2 + 2*s - s**2. Calculate the lowest common multiple of v(-4) and 24.
72
Let k(q) = 2*q + 138. Let i be k(-39). What is the smallest common multiple of 31 and (11/((-275)/i))/((-32)/120)?
279
Suppose -19*u = -753 - 710. Calculate the smallest common multiple of 3563 and u.
39193
Suppose 16*k = 11*k - 90. What is the smallest common multiple of 14 and (-8)/36 - (220/k - 0)?
84
Let p = -3085/7 - -30241/70. Let a = -64 + 37. What is the common denominator of a and p?
10
Calculate the lowest common multiple of 372 and -2*((-123)/6 + 0) - 1.
3720
Suppose 4*r - 9 = -1. What is the common denominator of -18 + (-680)/(-51) - (-3 + 0/2) and (2 + -40)*r/(-4)?
3
Let o(f) = 2*f**2 + 3*f + 5. Let r be o(-2). Suppose 0 = -3*j + r - 1, 4*x - 38 = -5*j. Calculate the lowest common multiple of 73 and x.
511
Let f(n) = -2*n - 2. Let u be f(-2). Suppose -3*k - u = -5*k. Suppose 0*y + 2*y + 4*x - 16 = 0, 3*x - 9 = 0. Calculate the least common multiple of y and k.
2
Calculate the lowest common multiple of 6017 and -7*-3*24/252 + 1092.
12034
Let w(z) = z**3 - 7*z**2 - 8*z. Let s be w(9). Find the common denominator of ((-23)/50)/(3*(-4)/s) and 3 - (-2 + (-255)/(-36)).
60
Find the common denominator of -97/20 and (-277)/10803*(-33)/(-70).
1820
Calculate the lowest common multiple of (9980/(-40))/(-7 - (-4530)/648) and 16.
215568
Calculate the smallest common multiple of (-140)/(-12)*450/15 and 490.
2450
Find the common denominator of (13/364)/(2/(-19)) and 136/35 - (-8)/20.
56
Find the common denominator of -95/688 and 2211/(-77787)*(-11)/4.
6192
Let n(y) = -20 - 11 + 50*y + 33. Calculate the least common multiple of n(1) and 10.
260
Let z = 26 - 259/10. Let g be (8 + 65970/(-27))*(-1)/(-2). Let t = g - -1196. Calculate the common denominator of z and t.
30
Let n = -4010095302125/7068 - -567359269. Let u = 2/589 + n. Find the common denominator of u and (-21)/9 + (-215)/344.
24
Suppose x - 3*x + 5*s = 6765, x + 3386 = -s. Let p = x - 95. What is the common denominator of -3/122 and -4 + 1 - p/288?
732
Suppose 72*i = 74*i - 26. Suppose 0 = -i*v + 18*v - 15. Suppose -3*y + 72 = 3*d, v*y + 30 = d - 2*y. What is the lowest common multiple of 3 and d?
75
Let p = -551/35 - -261/14. Find the common denominator of ((-138)/(-101) + -1)/(19 + -18) and p.
1010
Let l(s) = -337*s**3 - 5*s**2 - 18*s - 14. What is the least common multiple of l(-1) and 1392?
9744
Let g be (-17)/(-3) - 7 - (-52)/3. Let o(j) = -j**2 + 17*j - 1. What is the least common multiple of o(g) and 5?
15
Let c = -171811/1767 - -1846/19. Find the common denominator of c and -55/16.
1488
Let d = -591903 + 783087629/1323. What is the common denominator of 17/9 and d?
1323
Suppose -19*s = -22*s + 1395. Suppose 9*f - s = -5*m + 14*f, -f = m - 99. What is the lowest common multiple of 9 and m?
288
Suppose 21*o + 11*o = -18560. Let q = o + 3467/6. What is the common denominator of q and 121/24?
24
Let p = -148/2519 + 350709/352660. Calculate the common denominator of 95/1582 and p.
15820
Suppose -5*q + 6*z - 702 = 3*z, 5*z = 4*q + 572. Calculate the common denominator of 89/288 and q/(-27)*(-3)/4.
288
Let y = 189 - 1253/6. Suppose -2*u - 2*h = 12, -5*h = -6*u + 3*u + 14. Calculate the common denominator of 5/90 - -6 - u/12 and y.
18
Let i(d) = d**3 + d**2 - 6*d - 11. Let v be i(-9). Let x be (-358968)/594 - (-2)/(-9). Let u = v - x. What is the common denominator of 71/2 and u?
22
Let b = 121103/935 - 2196/17. What is the common denominator of b and 66/145?
1595
Let a = 372 + -369. Suppose 3*h - 13 = 2*b, -a*h - 3*b + 1 = -2. What is the least common multiple of h and 51?
51
Suppose 411 = -6*x - 249. Let v = 114 + x. What is the least common multiple of v and 84?
84
Suppose 1899 = 3*v + 5*x, 0 = 2*v + 3*v - x - 3249. Calculate the least common multiple of 27 and v.
648
Let c = -3/170288 + -2851283/59089936. Calculate the common denominator of c and -103/10.
6940
Suppose -3*p - 25 + 37 = 0, 3*u - 164 = -5*p. What is the least common multiple of u and 7236?
28944
Let w = -2163120677779739304702765/58390222 - -37045940290820257. Let r = w + -1833/19373. Let c = -18/137 + r. What is the common denominator of -133/6 and c?
66
Let j = -139 - -213. Let m = 118 - j. Calculate the smallest common multiple of m and 36.
396
Let m = 11052 + -10847. What is the lowest common multiple of 164 and m?
820
Suppose 5*o + g - 4*g = 135, 0 = -4*o + 4*g + 100. Find the common denominator of 7/o - (-3 + (-17)/(-6)) and -93/50.
50
Suppose z = -b + 23, 0 = -5*b + 3*z - 26 + 149. Let g = -6 + b. Calculate the smallest common multiple of 21 + -12 + 12/4 and g.
36
Let p = 55/4 + -1419/100. Calculate the common denominator of -131/900 and p.
900
Let a = -210835383075/44765896 - -135/1598782. Let d = -4710 - a. Calculate the common denom