 0. Let t be 254/(4 + (-4 - -1)) - -1. Let a = -248 + t. Calculate the lowest common multiple of m and a.
378
Let g(r) = 7*r + 74. Let s be g(-19). Let o = s + 62. Suppose 0 = -3*v + 8*v - 5. Calculate the least common multiple of o and v.
3
Suppose -240*s + 3192 = -4*s - 8*s. Calculate the lowest common multiple of s and 70.
70
Let p = -4691/3550 + 1/710. Let w = -8050647 + 1907999134/237. Let d = -6/79 - w. What is the common denominator of p and d?
75
Calculate the common denominator of -67/44 and 3 + (-4 - -4 - (-58131)/(-19620)).
23980
Suppose 0 = 5*l + 4*j - 28 - 7, -2*l - 5*j + 31 = 0. Suppose -l*z + 109 - 10 = 0. Let q = -17236 + 17251. What is the lowest common multiple of q and z?
165
Suppose 7*y - 324 = 5*b, 3*y = -31*b + 30*b + 120. Calculate the lowest common multiple of y and 120.
840
Let s be 3 + (3 + -87)/3. Let y = s + 31. Find the common denominator of 13/33 and (-19)/11 + (-4)/y.
33
Let t be 7/10*-28*5. What is the common denominator of (678/30)/(t/10 + 5) and -85/48?
48
Suppose 37*p = 8349 + 7561. What is the lowest common multiple of 3 and p?
1290
Let b be -6 - (315 - 1)/(-1). Suppose 230 = 3*f + 4*k, 4*f - b = -0*f - 4*k. What is the lowest common multiple of f and 26?
78
Let c(i) = -i**3 + 3*i**2 + 2*i - 2. Let q = -572 - -1110. Suppose -544*j + 204 = -q*j. Calculate the least common multiple of c(-2) and j.
238
Let q(g) = g**2 - 157*g + 10. Calculate the least common multiple of q(-10) and 120.
1680
Let v be 9/(-21) + (-10)/(-7). Let g be (-4)/(-1) - (4 + v/(-1)). Calculate the lowest common multiple of (13 - g - (0 - 0)) + 0 and 2.
12
Let t be -12 + 13 - (-18)/2. Suppose -4*f = -11 - 9, -3*q - 5*f = 11. Find the common denominator of (-4)/t - 6/(q/10) and -25/8.
40
Let i = -5227 - -9962. Let m = -89945/19 + i. Find the common denominator of m and -65/8.
152
Let w = -1/1662053 - 217726315/4367875284. Calculate the common denominator of w and -63/22.
28908
Suppose 0 = -199*z + 83587 - 11947. Calculate the lowest common multiple of 204 and z.
6120
What is the common denominator of 53/20 and (6 - 681/108 - 6) + 5?
180
Let i = 25665 + -1283309/50. Calculate the common denominator of i and ((-34)/(-2465))/((-18)/117).
1450
Suppose 19*j + 136960 = 44*j + 82*j. What is the lowest common multiple of j and 5440?
21760
Let b = -21/2 - -251/16. Let j = 3517 + -1322393/376. Let n = j - 3005/1128. Find the common denominator of n and b.
48
Suppose 3*n + 12 = 0, 20*f + 57 = 17*f - 3*n. What is the common denominator of ((-159)/10)/((-108)/f) and -1/21?
168
Suppose 38*a - 44135 = 25*a. Let b be -4 + 3 - 61097/(-18). Let g = a - b. Calculate the common denominator of 13/20 and g.
180
Suppose 0 = 72*b - 67*b - 5*w - 470, -3*b - 6*w + 246 = 0. Calculate the lowest common multiple of 50 and b.
450
Let b = -15 - -21. Let m(d) = -d**2 + 2*d + 25. Let h be m(b). Find the common denominator of ((-4)/912)/(h*(-4)/(-1160)) and -87/10.
570
Let h be (-5 - (-1338872)/186480) + (-3)/(-5). Let g = h + -1/518. Find the common denominator of g and -127/42.
126
Suppose 0 = -3*x + 990 + 5484. What is the common denominator of 97/50 and -5*1/(-6) + x/(-1560)?
100
Suppose 0 = 5*k - 3*b - 5, -6*b + 3 = 3*k - b. Suppose -2*f - 2*f - 388 = 0. Calculate the common denominator of 47/10 and ((-21)/42)/(96/f + k).
10
Let b(x) = 7*x - 3. Let n be b(0). Let u be (n/440)/(-9 - -12). Let y = 13429/3960 + u. What is the common denominator of y and -131/12?
36
Let i be 2855/(-171)*((-1866)/135 + 14). Let b = i + 51/19. What is the common denominator of -7/6 and b?
162
What is the common denominator of 1/4 and ((10/12)/5)/((-1521904)/876)?
10424
Suppose 18 = -9*z + 9. Let r = -17105 - -564508/33. Calculate the common denominator of r and (-6)/288*(z + -273).
264
Let v be ((-24)/(-28))/((-28)/78). Let u be ((-259)/(-343) - -5) + (-24)/4. Let j = v - u. Calculate the common denominator of j and 1/7.
7
Suppose 20 = 2026*o - 2021*o. Calculate the lowest common multiple of o and 482.
964
Let r = 12031 + -12022. Suppose -3*u - 31 = -3*c + 200, -u + 239 = 3*c. What is the least common multiple of r and c?
711
Suppose 3*s - 4*v - 3110 = 0, s - 7*v + 9*v - 1010 = 0. What is the smallest common multiple of 180 and s?
10260
Let v = 151/28 - 9/14. Let m be 0 - -1 - 14*241. Let y = m - -30421/9. What is the common denominator of v and y?
36
Let d = 1148 + -2349/2. Let f be 8/12 - (-352)/(-978). Let i = -10393/1467 + f. Find the common denominator of i and d.
18
Let o(z) = -z**2 + 136*z - 4118. Calculate the smallest common multiple of 1250 and o(52).
1250
Let h = 176 + -98. What is the common denominator of (-30)/297*1*-6 and 26/8 + 13/h?
132
Let b be 4/1 + 8 + -9. Let x(l) = l - 10. Let a be x(b). What is the common denominator of -55/2 and (-2)/a - (4 - 51/(-21))?
14
Let d = -1511 - -1759. What is the lowest common multiple of d and 1364?
2728
Let r = -29972487117/9536 - -3143088. What is the common denominator of r and 49/2?
9536
Let m = -1082/7 + 34939/224. Let n = -4537615/1147454 + -2/52157. Find the common denominator of m and n.
352
Calculate the common denominator of (-10)/(550/33) - (-366)/(-840) and (-2)/5 + 6/(-7).
140
Let f = 4/4435 + 110707/186270. Let k = 2814 + -157529/56. What is the common denominator of k and f?
168
Let b = 103238394478135957/80080504410788937 + -1/817844841378. Let z = b - -3/10307. Find the common denominator of 83/2 and z.
38
Let a be ((-1251)/18)/((-3)/6). Let b = a + -85. Calculate the least common multiple of 36 and b.
108
Suppose 0 = -4*n + 9*n - 75. Let f = n + -12. Let y(k) = -k**2 - 13*k - 37. What is the lowest common multiple of y(-6) and f?
15
Suppose 2*l + 12 = 5*l. Let u = -3187 + 3463. Calculate the smallest common multiple of l and u.
276
Suppose 14*b = 927 + 6745. Let m = -512 + b. What is the least common multiple of 30 and m?
180
Let f(x) = -x + 34. Let c be f(20). Calculate the common denominator of (2 - 1135/224) + 12/42 and ((-20)/c)/(24/30).
224
Let y be 2*((-260)/8 - 5). What is the common denominator of 67/15 and 1596/(-175) - (-6)/y?
15
Let a(m) = 7*m**2 + 9*m + 12. Let d(t) = -4*t**2 + 7*t + 7. Let z be d(-1). What is the smallest common multiple of 110 and a(z)?
440
Let u = 455 - 700. What is the least common multiple of 60 and ((-4)/(-7)*3)/((-10)/u)?
420
Let a = 49013 + -205021381/4183. Let u = -471844274733289/1112678 + 8057174817/19. Let q = a - u. Calculate the common denominator of q and -61/70.
70
What is the common denominator of (154/(-5292))/(2/(-39)) and -5 + -17 - (-6)/(-4)?
252
Let a(f) = -f**2 + 19*f + 5. Let r be a(19). Suppose r*n + 20 = 10*n. Suppose 7*u - n*u = 48. Calculate the smallest common multiple of u and 22.
176
Suppose 10*a - 9*a = 2. Suppose 3*b = a*b - 1, -i = -4*b - 33. Suppose 16 = -6*n + 8*n. What is the smallest common multiple of n and i?
232
Suppose 0 = 12*q + 2800 - 3340. Calculate the least common multiple of q and 10.
90
Let l = 178 - 184. What is the smallest common multiple of 21 and l/(0 - 1)*(-40)/(-4)?
420
Suppose 3*u - 3054 = 21*r - 19*r, 4*r = -2*u + 2052. What is the lowest common multiple of u and 10?
1020
Let b = -49027/6 + 8149. What is the common denominator of b and -93/2?
6
Suppose 0 = -9*w - 2*j + 98, 4*w - 4*j - 17 - 51 = 0. What is the least common multiple of 4263 and w?
17052
Let n(o) = -o**3 + 3*o**2 - 6*o + 11. Let u be n(2). Suppose 105 = 4*v - u*d, -d - 131 = -5*v + 3*d. Calculate the lowest common multiple of 39 and v.
351
Calculate the common denominator of (567/(-90) - -2) + (-12)/18 and -55/252.
1260
Let l = 5/20797 - -243127/2058903. Calculate the common denominator of l and 40/63.
693
Let z(y) = 56*y**2 + 54*y - 332. What is the smallest common multiple of 2761 and z(6)?
22088
Suppose -159*m + 25743 + 15020 = -38101. Calculate the lowest common multiple of m and 192.
5952
Suppose 2*s = -5 + 13, 2*p = 2*s + 2. Suppose -2*y + 56 = p*y. Calculate the lowest common multiple of 8 and y.
8
Let g(x) = 63*x + 45. Let o(j) = j**2 + 6*j - 11. Let p be o(2). Calculate the smallest common multiple of 20 and g(p).
360
Let n be 2 + 2 + (-9760)/136. Let j = -10789/170 - n. Calculate the common denominator of 8/28 - (-90)/(-14) and j.
70
Let s = -26/493523029 - 5449651551658169/91795283394. Let v = s + 59368. Calculate the common denominator of -70/3 and v.
186
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