ose -a = 2, 4*a + 70 = 2*y + 5*a. Suppose -c = -4*r + y. What is the smallest common multiple of r and 9?
72
Suppose 4*b = 3*n - 10978, -4*b + 14628 = 50*n - 46*n. What is the smallest common multiple of 10 and n?
18290
Suppose -464 = -2*u + 4*b - 3*b, -3*u = -5*b - 682. Suppose 4*j = -x + 6*x + 80, -3*j - x = -60. What is the least common multiple of u/15 + (-4)/(-10) and j?
80
Let d be (-2 - (3 + -201)) + -11 + 8. Let b = d + -130. What is the least common multiple of b and 21?
63
Let z = 11 + -13. Let h be (-5)/20 - z/(-91032)*-11371. Let d = h + -1399577/227580. Calculate the common denominator of -109/20 and d.
20
Let r = 662 - 661. Let n = 3 - 0. Calculate the lowest common multiple of n and r.
3
Let l = 13579 - 13539. What is the smallest common multiple of 3832 and l?
19160
Suppose 206*z - 156*z = 126550. Let q be ((-150735)/(-12))/5 - 2. Let l = q - z. What is the common denominator of l and 97/20?
20
Let d = -4797 + 4796. Let c(u) = -u**3 + 8*u**2 - 7*u + 10. Let r be c(7). Calculate the least common multiple of (5 + d)/(r/45) and 6.
18
Suppose -4*n + 12 = 0, -3*r + n + 4*n = -54. Let x = -7 + r. Let s = -139 + 149. Calculate the smallest common multiple of s and x.
80
Suppose 0*w + w - 7 = 0. Let p(h) = -3*h**2 + 417*h - 1182. Calculate the least common multiple of p(136) and w.
42
Calculate the common denominator of (-438)/2430 + -3 + 221/65 and -7/54.
810
What is the lowest common multiple of 18 and (32388/9)/((-432)/(-972))?
48582
Suppose 1 + 55 = 14*q. Suppose -q*b = -d - 25, -13*d = 2*b - 15*d - 14. What is the lowest common multiple of b and 16?
48
Let p be -4*(-2 - -4)/4. Suppose 0 = -q + 3*q - 2*l - 10, -5*q = -4*l - 21. Calculate the lowest common multiple of p*1 + (3 - -1) and q.
2
Let z = 51009 + -3060707/60. What is the common denominator of -173/240 and z?
240
Suppose 39*w - 40*w + 112 = 0. Let u(v) = v**3 + 9*v**2 - 28*v - 40. Calculate the lowest common multiple of w and u(-10).
560
Let x(n) = -n**2 + 1032*n + 6246. Let s(v) = -v**2 + 2*v + 3. Let j be s(3). What is the smallest common multiple of (-20)/(-4) - (j - 2) and x(-6)?
126
Calculate the common denominator of -51 + 63 + -6 - (1 + 1262/240) and -127/960.
960
Let f be (-4)/(-5) + (-648)/(-15). Let l = 189 - 188. Let k = f - l. Calculate the smallest common multiple of k and 10.
430
Let v = -93381 + 16808393/180. What is the common denominator of v and 103/220?
1980
Let b = 448185/11316328 - -1/34501. Let t = -2/9195 - -53339/36780. What is the common denominator of b and t?
1640
Let f = 1/2461 + 1499/2367482. Let z = f + -39925/1924. What is the common denominator of 8/10*15/21 and z?
28
Suppose 0 = 3*m - 4*p - 685, 4*m - 697 = m - 2*p. Suppose -s = w, 80*w + 32 = -s + 75*w. Calculate the least common multiple of m and s.
1848
Suppose 0 = 2*x - x - 4*y + 9, 3 = 5*x - 4*y. Let f be 4/4 + -1 + 2 + -42. Let v = -29 - f. Calculate the least common multiple of v and x.
33
Suppose -2*p - 2*p - o - 7 = 0, 3*p - 4*o = -29. Let y(h) = -h**3 - 7*h**2 + h + 11. What is the smallest common multiple of y(-7) and 0 + 1 - (0 + p - 114)?
236
Let l(u) = u**3 - 12*u**2 + 9*u + 24. Let n be l(11). Suppose 3*m = 4*j + 24, -m + n - 1 = j. Calculate the smallest common multiple of 24 and m.
24
What is the lowest common multiple of 177 - (12 - 5) - (2 + -4) and 30?
2580
Let w = -25577 + 355879/14. Let u = 157 + w. What is the common denominator of -83/24 and u?
168
Let p = -145514/31383 + 1/2853. Calculate the common denominator of 3096/447 + -4 + -3 and p.
1639
Let y(v) be the first derivative of -v**3 + 8*v**2 - 14*v - 311. Calculate the lowest common multiple of y(4) and 68.
68
Let u(v) = 4*v**3 - 5*v**2 + 3*v + 2. Let z be u(2). Suppose -3*k = -l - 2*k + z, 0 = 4*l + 4*k - 96. What is the lowest common multiple of l and 22?
22
Suppose 904 = 24*w - 224. Suppose 40*c - 45*c = 25, w = 3*o + 2*c. Calculate the lowest common multiple of o and 152.
152
Suppose 4*x = -1 + 5, 2*n - 5*x - 27 = 0. Let d = -5 + n. Let s = 22 - d. What is the least common multiple of 3 and s?
33
Let t = -1294 + 1295. Let c = 93 + -65. Suppose 5*b - b - c = 0. What is the lowest common multiple of t and b?
7
Let d = 32286849/988 + -32679. Let m = -1421/247 - d. Calculate the common denominator of -3/22 and m.
44
Let m be 26/1 + 1/((-1)/(-4)). What is the lowest common multiple of 18 and (-20)/m + 238/6?
234
Suppose 0 = -4*g + 2*k + 26, 4*k - 2 = -6*g + 8*g. Suppose -61*z + 62*z - 643 = -5*t, 3*z - g = 0. Calculate the smallest common multiple of 8 and t.
128
Let w = 116/7 - 1847/112. Let z = 6059/560 + w. Let s = -789/4 - -5651/28. Find the common denominator of z and s.
70
Let v = 4066 - 28517/7. Let z = -3/13196 + -129401/11256188. Let l = z - 28019/11089. Calculate the common denominator of v and l.
91
What is the common denominator of (303/(-21))/(6/(-7)) and ((-12)/(-15))/((-2889)/1605) + 13*13/360?
120
Let z(v) = v**2 + 0*v - 10 - 6*v**3 + 5*v**3 + 2*v. Let m be z(0). Let h = m + 28. What is the least common multiple of h and 4?
36
Suppose -3*c + 275 = 2*c. Suppose -208*z - 7461 = -13437 - 11704. Calculate the smallest common multiple of c and z.
935
Suppose 4*u - 25 = 3. Suppose -5*d = 3*l - 68, 2*l - 4*d - 9 = u. Let k(h) = 4*h**2 - 42*h - 6. Calculate the lowest common multiple of k(11) and l.
16
Let x = 32 - 32. Suppose x = 3*i - 8 - 19. Let y = -2 + i. Calculate the smallest common multiple of 8 and y.
56
Let l(c) = -5*c**3 + 5*c**2 + 7*c + 8. Let d be l(6). Calculate the common denominator of (-4645)/d - (18 + -12) and -35/18.
1530
Let d = -75 - -86. Let b(s) = -13*s - 25. Let u be b(d). What is the smallest common multiple of ((-1)/(-3))/((-4)/u) and 6?
42
Suppose 8 = 3*g - 43. Suppose -2*f + 7 = h - 0, -f + 4*h + g = 0. Let q(x) = -30*x + 245. What is the least common multiple of f and q(8)?
5
Let p = 9691 - 9607. What is the lowest common multiple of p and 7?
84
Let y = 1450 + -1423. What is the least common multiple of y and 381?
3429
Let b = 4571 + -4472. What is the smallest common multiple of 468 and b?
5148
Let f(l) = 2*l**3 + 9*l**2 + 2*l + 1. Let m be f(-4). Suppose -4*g = -4*n + 728, -n + m*g - 14*g + 170 = 0. Calculate the least common multiple of 12 and n.
180
Calculate the common denominator of 13/3240 and ((-1113)/(-72) - 6) + (-5 - -1) + -2.
3240
Suppose 8 = 5*p - 3*p. Let h(n) = 4*n + 42. Let f be h(-8). Suppose -f = 8*c - 42. What is the smallest common multiple of c and p?
4
What is the smallest common multiple of 11/(70/468 - 130/1170) and 117?
2574
Find the common denominator of (-5 - 1587/(-180)) + (-40)/24 and (1891/(-1332) - -1) + 28/(-126).
740
Let d be 0/((4/3)/((-2)/3)). Suppose -5*n - 6*n + 572 = d. Calculate the smallest common multiple of 40 and n.
520
What is the common denominator of (4/36)/(312/3302) and 179/600?
5400
Let u = 104694603/320 + -327171. What is the common denominator of -73/32 and u?
320
Suppose 3*m = -3*g + 6, -4*m - 306 = -g - 294. What is the smallest common multiple of g and 717?
2868
Let p = 776/5 - 163. Suppose 0 = 1747*c - 1752*c - 345. Find the common denominator of (12 + c)/(6/4*9) and p.
45
Let i be (2/(-1))/((-2)/(-3809)). Let a = -91447/24 - i. What is the common denominator of 161/66 and a?
264
Let y be 1/(2 - (-1 + 1360/452)). Let v = y + 163. What is the common denominator of 4/72*v/(-3) and -49/33?
297
Let w = -208556 + 278630753/1336. Find the common denominator of -61/8 and w.
1336
Let p = -2249755/43 - -52323. Let y = -70438040 + 60576707549/860. Let d = p + y. Find the common denominator of -27/8 and d.
40
Let g(r) = -5*r + 14. Let o be g(8). Calculate the common denominator of (31/o)/((-15)/(-10)) and 25/12.
156
Let v = -308093/360110 - 1/324099. What is the common denominator of v and 1 + 0 + 27/(-50)?
450
Let b be ((-4484)/(-57))/(26/60). Let n = 6666/91 - b. Let w = n + 4429/42. What is the common denominator of w and -113/20?
60
Let r = -174/19 - -1213631/132525. Let t = -37657/55800 + r. What is the common denominator of 19/70 and t?
280
Let p be (-1)/(-5) - (-1808)/(-40). Let c = p + 48. Suppose -z = -2, 0 = -c*x - 0*z - 2*z + 22. What is the least common multiple of 33 and x?
66
Let m(w) = 43856*w + 22. Let n = 45 - 41. Let v be m(n). Let s = 18948035/108 - v. What is the common denominator of s and 65/4?
108
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