r of 89/14 and 2/(-3) - h/(-198).
154
Let p = 9 + -5. Let m(d) = -d**2 - 6*d + 6. Let f be m(-6). Let n = p + f. Calculate the lowest common multiple of 9 and n.
90
Suppose -16 = -4*n + 572. Suppose n + 140 = i. Find the common denominator of -2*1 + i/(-42) and 5/16.
48
Calculate the common denominator of -107/18 and (4/120)/(6/(-445)).
36
Let s be (3/(-168))/((-2)/5). Let d = -415/112 - s. Calculate the common denominator of d and 91/(-40) + (-6)/(-15).
8
Suppose 5*c = 2*c + 9. Suppose -4*d - 5*j + 53 = 0, -d + 33 = c*d + j. What is the smallest common multiple of 10 and d?
70
Let v be ((-25)/2)/5*-33. Let f = 94 - v. Calculate the common denominator of -41/8 and f.
8
Let p = -6 - -11. Let v(k) = -k + 4. Let r be v(p). Calculate the common denominator of -2 - r - (-129)/54 and -53/2.
18
Let h = 8524 + -281327/33. Calculate the common denominator of 28/3 and h.
33
Let o(q) = q**2 + 2*q - 11. Let a be o(9). Let k = 13 - a. Find the common denominator of -13/8 and 1 - (-2 - k/(-12)).
8
Let y = 2797/426 - 1805399/3408. Suppose -2619 = -2*i - 3*i - 3*k, -2613 = -5*i - k. Let l = y + i. What is the common denominator of -49/16 and l?
16
Suppose -3*s + 6 = 3*s. What is the smallest common multiple of s and 2?
2
Let f(o) = -63*o**3 + 8*o**2 - 4*o - 7. Let v be f(6). Let b = 133397/10 + v. Calculate the common denominator of 64/3 and b.
30
Suppose -26 = -4*r + 198. Suppose r + 226 = -l. Calculate the common denominator of 28/11 and 1 + (l/(-4))/3.
22
What is the lowest common multiple of 3 and (1 - 2)/(14/(-28))?
6
Let f = 2566 + -946856/369. Let n = 34333/2952 + f. What is the common denominator of -32*(-2 + 90/44) and n?
88
Suppose 4*n + n = 70. Suppose -132 - 13 = -5*m. Let h = 49 - m. What is the least common multiple of n and h?
140
Let c = 4 - 2. Let j(x) = -x**2 + 14*x - 12. Let q be j(8). Suppose -2*r + 4*d + q = -0*r, -r + 15 = d. Calculate the least common multiple of r and c.
16
Find the common denominator of (-824)/308 + (4 - 7)/21 and -11/4.
44
Let a = 100531325/159 - 632285. Let h = a + -8/53. What is the common denominator of (57/6)/(4/(-3)) and h?
24
Let m be (2890780/(-7725))/(0 - -7). Let g = -9287/206 - m. Let q = 3/70 - g. Find the common denominator of 41/8 and q.
24
Let y = 2/253 + -10389/2024. Let o be -2 + (-7)/((-77)/40). Let n = -337/132 + o. Find the common denominator of n and y.
24
Let j = 5212/835 - 7/167. What is the common denominator of j and 95/4?
20
Suppose 5*p = 4*p - 5*f - 9, 2*p + 3 = -5*f. Suppose 0 = p*w - 3*w - 54. Calculate the lowest common multiple of w and 18.
18
Suppose -2*w = 3*w - 10. What is the least common multiple of 2/5 - (-9)/15 and w?
2
Suppose 3*m = 5*t - 26 + 8, -32 = -2*t - 5*m. Let d = -7 - -17. What is the lowest common multiple of d and t?
30
Let t = -6/5509 - 93173/440720. Find the common denominator of t and -25/18.
720
Suppose -4*b - 1 = 5*j - 18, -2 = -4*b - 2*j. Let v(f) = -3*f - 3. Calculate the least common multiple of v(b) and 11.
33
Let t = 10 + 4. Suppose 4*p - 63 = -3*c, p - 2*p = -3*c + 63. Let i = c + -11. What is the lowest common multiple of t and i?
70
Let z(x) = x**2 + 2*x - 11. What is the least common multiple of 66 and z(-5)?
132
Let m = 1185733/62080 - 1/12416. Let w = m + -1261/60. What is the common denominator of w and ((-3)/2)/((-6)/(-178))?
12
Suppose -8*p + 5*p + 15 = 0. Calculate the lowest common multiple of 11 and p.
55
Let f = -3966 + 71447/18. Calculate the common denominator of f and -87/26.
234
Suppose 0*l + 936 = -5*l - 2*d, 4*d + 556 = -3*l. Let r be (l/6)/((-53)/(-3)). Let t = r + 6679/1166. Find the common denominator of -7/10 and t.
110
Let b = 5329/8 + -669. What is the common denominator of b and 61/9?
72
Let h = 5/767 + 9881/13806. Find the common denominator of h and -35/18.
18
Let t = 1611 - 4780/3. Let b = 36 - 22. Find the common denominator of t and b.
3
What is the common denominator of 53/4 and (-4)/(-22) + 0 + 1178/176?
8
Let j be 0/((-3)/(9/(-3))). Suppose c = 4*n - 2*n - 26, j = -5*n. Calculate the common denominator of 35/4 and c.
4
Let k(u) = -2*u**2 - 26*u + 6. What is the least common multiple of k(-13) and 12?
12
Suppose 0 = -k - 3*m - 5 + 15, 0 = -3*m + 6. What is the least common multiple of 4 and k?
4
Let n = 7 - -9. What is the least common multiple of 4 and n?
16
Suppose 2*n + 0*q = q + 216, 4*n + q = 432. Calculate the smallest common multiple of n and 20.
540
Let p(g) = g**2 - 9. Calculate the smallest common multiple of 8 and p(4).
56
Suppose 0 = -4*d - 4*z - 8, -5*d - 58 = -4*z - 12. Let t be (-12)/((-1)/((-4)/d)). Calculate the common denominator of 26/7*(-2)/t and 27/22.
154
Let i = -6/295 - 25039/1770. Suppose -34 = 6*f - 4. Let h(d) = -d**2 - 2*d - 1. What is the common denominator of i and h(f)?
6
Suppose 4*s + 3*s = 532. What is the least common multiple of s and 20?
380
Let j(l) = 6*l**2 + 4*l - 1. Let f be j(3). Let g = 1181/18 - f. Calculate the common denominator of -63/8 and g.
72
Suppose -k + 64 = -5*o + o, -o - 16 = 2*k. Calculate the least common multiple of 2 and (-84)/(-10) - o/(-40).
8
Let q = -766 + 1492. Let y = q + -475. Calculate the common denominator of -21/16 and y/(-10) - (-4)/(-10).
16
Let c be (-1)/4 + 3/12. Let q = c + 2. Calculate the least common multiple of 1 and q.
2
Let z = 10193/22 - 463. Let o(a) = 2*a**2 - 11*a + 3. Let g be o(9). Find the common denominator of z and (-63)/g + 0 + 3.
22
Let z be 12/(-9)*(-1)/192. Let s = z + 13/72. Calculate the common denominator of s and 1/2.
16
Suppose 30 = 13*q - 10*q. What is the least common multiple of 12 and q?
60
Let p = 2407 + 39027. Let s be 5/(-1182)*p/20. Let h = s + 134/197. Calculate the common denominator of h and 73/14.
84
Suppose -a + 3*k = -3 - 1, 0 = 3*a - 2*k - 5. Let i = -29 - -32. What is the lowest common multiple of i and a?
3
Suppose 3*f + 13 = -5*o - 0, 8 = -4*f - 2*o. Let x(m) = -19*m**3 + m**2 + m + 1. What is the least common multiple of 20 and x(f)?
20
Suppose -2*m = l - 2*l - 12, -4*l - 30 = -5*m. Calculate the lowest common multiple of m and 6.
6
Let d(c) = -2*c + 1. Suppose -5*y = 2*t + 2, 2*y = t + 7*y + 1. Suppose -1 + 6 = s - z, -s - 2*z = -17. Calculate the smallest common multiple of s and d(t).
9
Let s be ((-2)/(-1))/((-3)/(-6)). Suppose 4*v - 85 = -x, v = -v + s*x + 56. Calculate the least common multiple of 16 and v.
176
Let n = 17/1816834 - 3030027071/231646335. Let u be 488/255 + (-2)/1. Let o = n + u. Find the common denominator of o and 69/22.
66
Let z = -40 - -48. Let a = -3 + 8. Calculate the least common multiple of a and z.
40
Calculate the common denominator of (-501)/(-154) - (-6)/(-33) and 119/10.
70
What is the least common multiple of (3/((-15)/(-2)))/((-6)/(-480)) and 16?
32
Suppose -28 = 3*p - 340. Calculate the lowest common multiple of p and 10.
520
Let v = 86/25 + -2019/100. Calculate the common denominator of -35/8 and v.
8
Suppose 0 = -5*c + p - 85, 52 + 33 = -5*c + 5*p. Calculate the smallest common multiple of c/(-1) - (-2 - -1) and 18.
18
Let q = 1/15 - -4/15. Find the common denominator of 43/4*(-3)/(-3) and q.
12
Let x = 2474491/60 - 41243. Find the common denominator of x and 49/36.
180
Let t = 587815/54 + -10885. Calculate the common denominator of t and -67/20.
540
Let h be (-2 + (-26)/(-6))/(-404). Let m = h + 7019/1145340. Let s = m - -206951/11340. Find the common denominator of s and 127/12.
12
What is the common denominator of (0 + (-370)/(-75))/((-8)/(-6)) and -97/14?
70
Calculate the common denominator of -31/16 and (-52)/234 - 202/792.
176
Let f be 0 - (-2 + -1 + 2). Calculate the least common multiple of (-6)/(-9) + (-160)/(-12) and ((-25 - -1)/(-2))/f.
84
Let h = 172837/16 + -10808. Calculate the common denominator of h and -97/12.
48
Let z(q) = -3*q**2 + q + 2. Let b be z(-2). What is the common denominator of 47/20 and 10/84 + (-8)/b?
140
Let j(z) = -z**3 + 11*z**2 + z - 5. Let a be j(11). Calculate the common denominator of 4/a - 257/(-42) and 155/16*(-6)/(-5).
56
Let d be (4082/6)/(22/(-48)). Let q = 3152 + -1669. Let z = q + d. Find the common denominator of z and 10/11.
11
Suppose 3*u - 8 = 1. Suppose j = 2*x + u*x - 3, 0 = 5*x + 3*j - 11. What is the smallest common multiple of x and 11?
11
Let j = 1773 + -58519/33. Find the common denominator of -49/24 and j.
264
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