.
30
Let k = 14053/17850 - 2/1275. Let o = 3297/4 + -13283/16. What is the common denominator of o and k?
112
Let d be (-1 - -4)*(-1)/(-1). Suppose 5*t + 2*k - 19 = 0, 5*k + 3 - 8 = -4*t. Suppose 4*i = d*i + t. What is the lowest common multiple of i and 3?
15
Let c be (-185)/(-25) + 2/(-5). Suppose 0 = h + c - 3. Let m(f) = f**2 + f. Calculate the smallest common multiple of 18 and m(h).
36
Suppose 2*x - 102 = -22. What is the least common multiple of 12 and x?
120
Calculate the common denominator of 4/(-6)*414/32 and 45/16.
16
Let d = -47/464 + -11017/2320. Let z = 36953/4670 + -6/467. Calculate the common denominator of z and d.
20
Let u be ((-2)/(-3044))/((-2)/4). Let v = 9881/9132 - u. What is the common denominator of v and 97/6?
12
Let x = 2417/70 + -168/5. Calculate the common denominator of x and 7/10.
70
Let z(l) = -l**3 + l**2 + l + 1. Let v be z(2). Find the common denominator of ((-84)/(-64)*2)/v and 9/4.
8
Let c = 18/65 + -6211/130. Find the common denominator of -149/18 and c.
18
Let a(d) = -2*d + 6. Let t be a(6). Let b be 2/(-2)*(1 - -7). Let c = t - b. What is the smallest common multiple of 14 and c?
14
Let j = -11 + 22. What is the smallest common multiple of j and ((-33)/6)/((-3)/6)?
11
Let h = -106 + -1. What is the lowest common multiple of 5/30 + h/(-6) and 22?
198
Let i = -1261/2 + 603. Let d be (-14)/8 + 2/(-8). What is the common denominator of 2/(-12)*131 - d and i?
6
Let a(g) = g - 1. Let n(x) = -2*x**2 - 4*x + 4. Let s(o) = -3*a(o) - n(o). What is the smallest common multiple of s(-3) and 8?
56
Let s = 8 + 10. Calculate the common denominator of 68/10 + (-9)/s and 127/12.
60
What is the common denominator of 179/30 and (4/(-18))/((-7)/(-24)) + -2?
210
Suppose 5*s - 9*s = -48. Calculate the smallest common multiple of s and 58.
348
Let i(v) = 3*v**2 + v - 2. What is the lowest common multiple of 10 and i(2)?
60
Let p = -12 + 24. Let b = -3 - p. What is the least common multiple of ((-88)/20)/(3/b) and 4?
44
Let x(a) = 0*a**2 + 3*a**2 - 2*a**2 - 3 - 4*a. Suppose 0 = 4*b - v - 70, 4*b - 3*v + 5 = 71. What is the lowest common multiple of x(-3) and b?
18
Let y(u) = 10*u**3 - 4*u - 3. Let g be y(6). Let w be g/78 + -2 + 1. Let h = 102/13 - w. Calculate the common denominator of 119/10 and h.
10
Let l be (-3)/9 + 1379/33. Let u = l + -5791/132. Find the common denominator of 61/14 and u.
84
Suppose 10*a = 10 - 0. What is the lowest common multiple of 13 and a?
13
Suppose 5*c - 5 = 5*w, -5*w - 4*c + 12 = -w. What is the lowest common multiple of 11 and w?
11
Let o(c) be the second derivative of c**3/2 - c. Suppose 9 = 4*x + 5*z + 30, 0 = -2*x + 4*z + 22. What is the lowest common multiple of x and o(3)?
9
Calculate the common denominator of -55/3 and (-451)/10 - 2/5.
6
Let z(o) = o**2 + 11*o - 5. Let c be z(-12). Suppose y + c*b = 4*b + 28, 0 = 4*y + 2*b - 72. What is the smallest common multiple of 10 and y?
80
Let k = 338582905/52836 + -1185/4403. Let h = -6412 + k. What is the common denominator of h and 79/20?
60
Suppose -n + 5 + 5 = 0. Suppose 5*o = -3*g + 46, 2*g + 2*o = 31 - 7. What is the smallest common multiple of g and n?
70
Let t be (-2)/(-9) - 371111198/(-180). Let g = t - 2063735. Let d = 2017 + g. Calculate the common denominator of 67/14 and d.
70
Let b be 2/(-10) + (-182)/(-35). Suppose -2 = -4*p - b*a + 91, 5*p + 3*a = 113. What is the least common multiple of p and 16?
176
Let t = -2315297864938843/290829 + 55727197236/7. Let d = t + -1/3777. What is the common denominator of d and 41/10?
110
Let g be (-1)/(-2) - 25094/(-1230). Let h = 14/205 - g. Calculate the common denominator of h and ((-3)/8 - -1)*10.
12
Let n = 11296/261 + -392/9. Let x = 2369/348 - n. Let j = 126279/16 + -7887. Find the common denominator of x and j.
48
Calculate the least common multiple of 8 and -41*(3/(-6))/(5/10).
328
Let f(g) = -g**3 - 8*g**2 - 8*g - 4. Let z be f(-7). Let y(k) = 3*k + 2. What is the lowest common multiple of y(z) and 21?
231
Let p = 99443/22 + -4522. Let f(q) = -q**2 - 6*q - 5. Let j be f(-10). Calculate the common denominator of 5/(-22)*(-369)/j and p.
22
Let n = -20 + 28. What is the smallest common multiple of n and 9?
72
Let j = -9476 - -170611/18. Calculate the common denominator of j and 131/24.
72
Suppose 6*l = 9 + 51. Calculate the lowest common multiple of l and 11.
110
Let b be (1/3)/((-4)/(-36)). Suppose 2*h - 5*j = 26, -32 = -5*h - 7*j + b*j. Calculate the smallest common multiple of h and 22.
88
What is the lowest common multiple of 3 - -5*(-1 - -2) and 6?
24
Suppose -3*j - 4 = j - 4*c, -5*j - 4 = -4*c. Calculate the least common multiple of 10 and (1 - j) + 4/4.
10
Let q = -4217 - -16965/4. What is the common denominator of 111/22 and q?
44
Find the common denominator of ((-15)/44)/(22/(-264)) and (0 + -3)*(-4)/(-18).
33
Let q(d) = d**3 - 3*d**2 - 5*d + 3. Let u be q(4). What is the least common multiple of (-1)/(-1) - (-2 - -1) and 0 + 0 - 7/u?
14
Suppose -98 = -5*h + c, 4*c - 2*c - 4 = 0. Let g(u) = u**3 + 6*u**2 - 11*u - 8. What is the least common multiple of h and g(-7)?
20
Suppose 4*n - 56 - 24 = 0. Suppose i - n = -i. What is the least common multiple of i and 8?
40
Let w(i) = 12*i**2 - i - 2. Calculate the smallest common multiple of 11 and w(-1).
11
Suppose 562 = -f + 3*i - 384, -3768 = 4*f + 4*i. Let r = f - -1805/2. Find the common denominator of r and 2 - (-22)/3 - -3.
6
Let h(z) = -7*z**3 + 2*z**2 + z. Suppose -5 = -o + 2*x - 14, -o = x - 3. Calculate the smallest common multiple of 16 and h(o).
16
Calculate the lowest common multiple of 3 - (-2)/(-2)*1 and 6/(-4)*40/(-6).
10
Let g = -911/2 + 418. Find the common denominator of 27/10 and g.
10
Suppose 4*b + 80 = 5*o + 216, -5*b = 4*o - 129. Let r = -19 + b. What is the least common multiple of 22 and r?
110
Suppose 10 = 2*p - p. What is the smallest common multiple of 68 and p?
340
Let a = 0 + 4. Let l(g) = g - 6. Suppose -9*j - 28 = -11*j. What is the lowest common multiple of a and l(j)?
8
What is the common denominator of (0 - -1)*13/(-3) and -1/11?
33
Let x be (-2)/(-1) + (-3 - -4). Suppose x*a + 7 = 55. Suppose 5*o = -s + 15, -5*s + 11 = -5*o - 4. What is the smallest common multiple of a and o?
16
Let c = 27 - 5. Let i = -23 - -45. What is the least common multiple of c and i?
22
Suppose -3*y + 8*y - 25 = 0, 0 = h - 3*y + 4. Calculate the least common multiple of h and (2/2)/(4/24).
66
Suppose 3*b = 22 + 5. Let v = -3 + 7. Let t = -1 + v. What is the smallest common multiple of t and b?
9
Let o(x) = 6*x**3 - 2*x**2 + x + 2. Let w be o(2). Suppose -s - w = -5*n + 3*s, 5*n + s - 39 = 0. Calculate the lowest common multiple of n and 11.
88
What is the common denominator of (29/6)/((-112)/(-144)) and 18/7?
14
Let l = 8/331 + 17471/2979. Find the common denominator of l and (-768)/(-270) + (-4)/10.
9
Suppose -4 + 28 = -4*q. What is the common denominator of 498/(-80) + q/15 and -34/3?
24
Let u = 10589/176 + -646/11. What is the common denominator of (1/(-4 + 8))/((-2)/31) and u?
16
Calculate the common denominator of (-575)/(-55)*2/5 and -41/13.
143
Find the common denominator of (-14)/(-112)*(-132)/(-2) and -27/8.
8
Suppose 0*t + 48 = 2*t. Suppose -5*j = 3*i - t, 0 = -3*i - 2*j + 16 + 8. Calculate the least common multiple of 4 and i.
8
Let s = -1425/4 - -4349/12. What is the common denominator of -45/8 and s?
24
Let j(w) = -w**2 + 13*w - 6. What is the lowest common multiple of 10 and j(12)?
30
Let w be (-4)/14 - (-318244)/47712. Let x = -2/213 + w. Calculate the common denominator of x and -21/2.
8
Let n be 4/18 - 86/(-18). Suppose -n*k = -4*k - 16. Calculate the common denominator of 1/6*300/k and -13/10.
40
Suppose -c - 5*f + 51 = c, 79 = 3*c + 5*f. Calculate the common denominator of (-233)/(-20) + (-7)/c and -34/9.
45
Let g be ((-5)/(-5))/(2/54). Let f be 3*3/g*2383. Let o = f - 52153/66. What is the common denominator of o and 111/22?
22
Let j = -1950 + 11663/6. Find the common denominator of j and 4/(-10) + (-112)/(-30).
6
Let s(k) = k**2 - 7. What is the smallest common multiple of 6 and s(-4)?
18
Let t be ((-4274345)/(-41034))/(-5) - 2. Let o = -53173226/6839 - -7775. Let f = t + o. Calculate the common denominator of f and 2/9.
18
Suppose 252 = 25*b - 11*b. Calculate the least common multiple of 30 and b.
90
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