ultiple of (-20 - 2)*(2 - 3) and 14.
154
Suppose 0 = -0*j - 5*j + 15. Find the common denominator of -14 and (-9)/(j + (-1)/1).
2
Let g = -271 + 441. Suppose -5*y - 5*i = g, 4*i + 46 = -0*y - y. Calculate the least common multiple of 6 and 3/(-2 - 69/y).
30
Let r = 750139/676335 + -2/61485. Calculate the common denominator of r and 11/20.
220
Let f(d) = 26*d + 4. Let y be f(-2). Calculate the lowest common multiple of 20 and (y/30)/((-6)/75).
20
What is the smallest common multiple of 22 and (4/8)/((-5)/(-240))?
264
Let c be (40/3)/4*9. Find the common denominator of 146/(-40) - 2/(-10) and 2/(-6) + (-11)/c.
20
What is the least common multiple of 14 and 2/(-7) - (-798)/49?
112
Let c = 665/6 + -407/3. Let k = 34381/12 + -2855. Calculate the common denominator of c and k.
12
Suppose 0 = 4*p - 9 - 11. Suppose -b = -p - 2. Calculate the least common multiple of b and 4.
28
Let z = 831/2 + -398. Let n = 1074/5 + -9476/45. Calculate the common denominator of z and n.
18
Suppose 5*f - 17 = 23. Suppose 27 + 15 = 3*v. Suppose -k + 5*j = j + 10, 3*k - v = j. Calculate the lowest common multiple of k and f.
24
Suppose 3*i - 3*s = -6*s + 24, 5*i - 70 = 5*s. Let m = 2 + -4. Let u = m + 7. What is the lowest common multiple of u and i?
55
Let o = -61 - -79. Calculate the least common multiple of o and 33.
198
Let k(g) = g + 3. Let v(p) = -p**2 - 14*p + 19. Let h be v(-15). What is the least common multiple of 5 and k(h)?
35
Suppose 23 - 9 = 2*t. Let y = t - -3. What is the lowest common multiple of y and 4?
20
Let n = -2/13 - -53/260. Calculate the common denominator of n and ((-28)/(-16) + -2)*34.
20
Let d(a) = a**3 - a**2 + 2*a + 1. Let o(k) = k**2 - 8*k - 7. Let m be o(9). Calculate the lowest common multiple of d(m) and 7.
63
What is the least common multiple of 11 - 3 - (-9)/(3/1) and 4?
44
Suppose -d - 4*d - 40 = 0. What is the common denominator of (-130)/(-44) - (-12)/d and ((-1)/(-6))/(3/(-453))?
66
Let b(d) = 3*d**3 - 3*d**2 + 3*d. Let w be (-2)/(-5) - 24/(-15). Suppose -3*r + 18 = -2*r. What is the smallest common multiple of b(w) and r?
18
Let r = -5/11 + 5/22. Find the common denominator of -73/16 and r.
176
Let m = -20 + 8. Let j = 22 + m. What is the lowest common multiple of 2 and j?
10
Suppose 4*v - 2*v = 10. Let w be 6 + 5/(v/3). Suppose -g + w + 3 = 0. Calculate the least common multiple of g and 6.
12
Let h(l) = -l**3 - 15*l**2 + 15*l - 4. What is the smallest common multiple of 6 and h(-16)?
12
Suppose 4*u - 3*c + 35 = 0, -2*u - 3*u - 4*c = 5. Suppose 14 = 2*k - k. Let r = k + u. Calculate the smallest common multiple of r and 5.
45
Let s be (-18)/45 + 54/10. Suppose s*r = 5 + 25. Calculate the smallest common multiple of 16 and r.
48
What is the common denominator of ((-3)/6)/((-8)/(-17)) and 17/16?
16
Suppose -192 = 52*c - 60*c. What is the smallest common multiple of c and 33?
264
Suppose 4*k = -0*k - 128. Calculate the common denominator of k and ((-24)/(-27) - -3) + -4.
9
Let t be 97/6 - (-4)/(-24). Suppose 2*f + t = y - 6*y, -13 = 5*y + f. Let s = y - -5. Calculate the least common multiple of 6 and s.
6
Let d = 4/387 - 13589/4257. Calculate the common denominator of -15/89 and d.
979
Let m be (0 - -2) + -1 + 2. Suppose -18 = -2*l - m*c + c, 2*c = 3*l - 12. Calculate the smallest common multiple of l and 12.
12
What is the common denominator of 2 and (-83)/(0/(-2) + (10 - 8))?
2
What is the common denominator of -61/33 and -3 + -30*(-20)/54?
99
Let h = -245/22 - 70/11. What is the common denominator of h and (10/(-6))/(48/54)?
8
Suppose 0 = -2*q + 4*q - 2*v - 166, -3*q = -v - 251. Calculate the lowest common multiple of q and 12.
84
Suppose -15 = -6*c + 3. Let r be -2 - (-7 + (-1 - 0)). Let w = r + c. Calculate the smallest common multiple of 7 and w.
63
Let r(l) = -l**3 - 2*l**2 - l - 3. Let f(q) = -q**3 - 5*q**2 - 3. Let c be f(-5). Let k(a) = a + 7. What is the least common multiple of r(c) and k(0)?
63
What is the lowest common multiple of 10 and ((-12 - -1) + -1)*(-8)/24?
20
Suppose r + 2*i - 14 = 0, -2*i = 3*r + 2*i - 42. Calculate the least common multiple of r and 9.
126
Calculate the common denominator of ((-26)/(-120))/(1/(2 - 0)) and -65/27.
270
Let h = 108128 + -11031101/102. Let j = h + -142/51. Find the common denominator of j and -2/9.
18
Suppose 2*s - 3*v = s - 11519, 0 = -5*s + v - 57665. Let d = -115431/10 - s. What is the common denominator of d and -57/14?
70
What is the common denominator of -107/18 and (1 - 16/11)/((-30)/(-285))?
198
Let n(r) = 8*r + 4. Let t(x) = x. Let q(s) = -n(s) + 2*t(s). Suppose -2*u - u = 9. Calculate the smallest common multiple of 20 and q(u).
140
Let p = -14 + 5. Let b(n) = 9*n + n**2 + 3*n**2 - 3*n**2 + 4. Calculate the smallest common multiple of 16 and b(p).
16
Let z = 63631/10 - 6370. What is the common denominator of -23/14 and z?
70
Let t be 2/7 + 12/7. Suppose -h - 2*f + 15 = 1, -3*h = -t*f - 42. What is the least common multiple of 12 and h?
84
Let o = 181785807/8074 - -35129/367. Let m = 22615 - o. What is the common denominator of m and 33/10?
110
Let z = -1209/1160 + -12/145. What is the common denominator of z and (6/4)/((-114)/(-399))?
8
Find the common denominator of 2295/(-324) + (1 + 0 - -1) and -13/4.
12
Let b(o) = -o**3 - 3*o**2 + o - 3. Suppose 3*f + f - l - 3 = 0, 5*f + 9 = -3*l. Suppose y = -f*y + 3. What is the lowest common multiple of y and b(-4)?
9
Let g be (2*-1)/2 - 2. Let f(n) = n**3 + 3*n**2 - n + 3. Let o be f(g). Let t(s) = s**3 - 7*s**2 + 8*s - 8. Calculate the least common multiple of 8 and t(o).
8
Let v = 8 + -6. Calculate the smallest common multiple of (-74)/(-12) - (-6)/(-36) and v.
6
Suppose -5*x + 2*k + 1 = 3*k, 0 = 4*x + k - 1. Suppose 4*s = -x*s + 56. What is the smallest common multiple of 20 and s?
140
Let l = -3/1255 + -3989/11295. What is the common denominator of l and -87/50?
450
Let r = -8 - -16. What is the least common multiple of 1 and r?
8
Let w be (4/(-3))/(-4)*6. Let d be (-14)/(5/(15/w)). Calculate the common denominator of 484/(-14) - (-9)/d and -49/8.
8
Let l(i) = 19*i**2 - 1. Let o be l(1). Calculate the common denominator of 4/o - 1042/72 and ((-1)/(-2))/(8/(-194)).
8
Let s = -1243 + 2405/2. Find the common denominator of 24/11 and s.
22
Suppose v = -h + 1, -2*v + 4*h - 2 = 5*h. Calculate the common denominator of -45/7 and 1 + (v - (-18)/10).
35
Suppose -2*d - 19 - 7 = -4*o, 3*o + 5*d = 0. Let b(s) = -s**2 + 8*s - 7. What is the smallest common multiple of 1/(3 + -2) + 21 and b(o)?
88
What is the common denominator of 2*(5/(-10) - 2) and ((-2)/(-8))/(3/(-70))?
6
Let w(y) = y - 2. Let r be w(-2). Let s = 8 + r. What is the lowest common multiple of 14 and s?
28
Suppose -5*c - 3*s = -13, 0*s - 29 = -5*c + s. Suppose 0*j - 3*a = 2*j + 33, 5*a = c*j + 145. Calculate the common denominator of -29/5 and 5/20 + (-410)/j.
15
Let d be 1/(-3) - 4714/(-14034). Let b = d + 203469/9356. Find the common denominator of b and 31/11.
44
Let x(l) = -l**3 - 5*l**2 + 5*l - 6. Let z be x(-6). Suppose z*s + 4*s - 4 = 0. Suppose -2*n + n + 8 = 0. Calculate the smallest common multiple of s and n.
8
Let m = 4 - 8. Let s = 18 + m. What is the smallest common multiple of 116/s + 4/(-14) and 16?
16
Let s be (-2 - 0) + (4 - 3). Find the common denominator of (s*18/4)/3 and ((-1)/10)/((6/(-245))/(-3)).
4
Let w = -19 + 13. Calculate the smallest common multiple of 10 and (w/9)/(2/(-27)).
90
Suppose -3*y - o = -27 - 33, -5*y = -o - 100. Calculate the common denominator of ((-12)/(-8))/((-12)/(-29)) and (-153)/y + 10/25.
8
Suppose 3*k + 108 = -0*k. Let t(b) = b**2 - 3*b + 4. Let w be t(-4). Calculate the common denominator of -47/6 and (-1 + 26/w)*k.
12
Let w(v) = v**2 - 3*v - 21. What is the least common multiple of 3 and w(7)?
21
Let c = -10307/1020 - 53/170. Let v = 207 + -1661/8. What is the common denominator of v and c?
24
What is the common denominator of ((-2)/72*97)/(2/6) and -67/44?
132
Find the common denominator of -17/4 and -10*(4 - (-3908)/(-1008)).
252
Let w(x) = -x**2 - 18*x + 10. Let d be w(-13). Suppose 3*l + 3*s = d, -5*l + 65 = -s - 42. What is the lowest common multiple of l and 18?
198
Let o = 313263/22 - 14244. Find the common denominator of o and 61/2.
22
Let w = -11 - -23. What is the lowest common multiple of 16 and w?
48
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