e least common multiple of (-12)/(-5 - (-21)/6) and n(-5).
40
Suppose -3*d - 4*x + 3*x = 17, -3*d - 3*x = 27. Let v be d/(-6)*31876/(-16). Let b = v - -1325. Calculate the common denominator of 68/9 and b.
18
Let k = 1143 - 1121. What is the least common multiple of k and 210?
2310
Suppose 0 = t - 79 + 17. What is the smallest common multiple of (-18)/(765/(-68) - -9) and t?
248
Find the common denominator of 43/44 and 891/6930 - (0 - (-6)/14).
220
Let o = -3/11248 + 298117/168720. What is the common denominator of o and -38/75?
150
Find the common denominator of ((-5)/225*-3)/((-6)/(-310)) and (-11)/9 + 2/6.
9
Let q = -193 - -195. What is the lowest common multiple of q and 65?
130
Suppose -6 = -0*g + 3*g + 3*n, 3*n = -4*g - 13. Let q(z) = z**3 + 6*z**2 - 3*z + 3. Let j be q(g). Find the common denominator of (-4)/8*(-115)/j and -3/22.
110
Let m(k) = 19*k**2 - k. Let f be m(1). Suppose 5*o - 90 = -3*i, o - 2*o + f = i. Suppose -3*v + 0*v = -o. Calculate the lowest common multiple of 10 and v.
30
Suppose 6*c = 4*c + 6. Let w be c - (1 + 0 + -3). Suppose -7*t + w*t + 32 = 0. Calculate the least common multiple of t and 22.
176
Let j = -48467/7785 - -3/865. Calculate the common denominator of j and -15/244.
2196
Let u be (-50212)/40*20/264. Let f = -970/11 - u. Calculate the common denominator of f and 29/22.
132
Suppose 2*y + 4 = j + j, 5*y + 14 = j. Let m = j - -11. Find the common denominator of (-4631)/660 - (-6)/m and 13/4.
12
Let b = -5627 - -15599/3. Let v = -432 - b. Calculate the common denominator of 10*(-1 - -3 - 11/(-44)) and v.
6
Suppose 25*g - 23*g = 32414. What is the common denominator of 13/16 and g/(-1672) - 4*1/22?
16
Let v = -53614 - -53647. Suppose 3*q = q - 12. What is the lowest common multiple of 2/(-6) + (-56)/q and v?
99
Let p = 1100 + -905. Calculate the smallest common multiple of p and 25.
975
Find the common denominator of -97*(-3)/(-24) - 3/(-12) and 2 - 2/28*1.
56
Suppose -4*y + 32 = 4*p, -3*y = -7*p + 3*p + 11. Suppose z - 41 = -3*c, p*c + z - 17 = 4*c. Calculate the least common multiple of 14 and c.
84
Let v(s) = 9*s + 13. Let q be v(-19). Calculate the common denominator of 15/5 + q/4 and 54/11.
22
Find the common denominator of 182/(-240) - (84/8 + -10) and -7/108.
1080
Suppose -264 = -3*x + 3*c, c = -5*x + 4*x + 86. Calculate the lowest common multiple of x and 5.
435
Let l = 2742 - 2730. Suppose 3*y - 182 = -62. What is the smallest common multiple of l and y?
120
Let p = -1 - -5. Let n = -183 + 188. What is the lowest common multiple of p and n?
20
Let c be (3/(-12))/(3/(-36)). Let f be (c - 136/(-2)) + -4. Find the common denominator of 2/((-146)/f - -2) and 62/5.
30
Let n = 4750 - -1088. Let w = -198541/34 + n. Calculate the common denominator of w and -41/10.
170
Find the common denominator of -5/18 and (270/(-21) - -1)/(24/(-14)).
36
Let z(u) = -u**3 + 5*u**2 - 4*u + 6. Suppose -6 = -11*d + 10*d. Let y = -2 + d. What is the smallest common multiple of z(4) and y?
12
What is the lowest common multiple of 11 and -7*((-30)/(-21))/(-5)?
22
What is the lowest common multiple of ((-512)/(-6))/(6 + (-96)/18) and 8?
128
Let o = -9 - -21. Let u(n) = n**3 - n**2 + n + 1. Let d be u(-1). Calculate the least common multiple of (11/(-3))/(d - (-22)/12) and o.
132
What is the lowest common multiple of (-1)/((-3)/(-180))*13/(-39) and 15?
60
Let f = 7045846/18700215 - -10/42989. Let l = f - -2/87. Calculate the common denominator of -43/8 and l.
40
Let c = -9423/7 - -1338. Suppose -7*w + 8 = -3*w. Calculate the common denominator of -1 + 93*w/(-4) and c.
14
Let y = 55 - 19. Let a = -1 + 17. What is the lowest common multiple of a and (y/(-15))/((-2)/10)?
48
Let x be 30/(-24) + (-4)/2. Let d be (-30)/(-7) - 2/2. Let r = x + d. Find the common denominator of 91/16 and r.
112
Calculate the least common multiple of 16 and 45/10*(-4)/(-9).
16
Let v(n) be the second derivative of -n**5/10 - 5*n**4/12 - n**3/6 + 3*n**2/2 - 21*n. Calculate the least common multiple of v(-3) and 15.
15
Let k(n) = n**2. Suppose -4*i = -0 - 20. Let m = i - 6. Calculate the smallest common multiple of k(m) and 1.
1
Suppose h + 3 - 10 = l, -2*h + 10 = 0. Let d be (l - (-12)/3)*7. Suppose d = 7*p - 7. What is the smallest common multiple of 1 and p?
3
Let z(t) = t**2 - 3. Let w be z(-2). What is the smallest common multiple of 3 and (w - 0) + 0 - -2?
3
Let s = 22 - 13. Calculate the common denominator of 249/4*(-6)/s and (50/10 - 2) + (-172)/10 - -2.
10
Suppose 0 = k - 2*b - 15, k + 3*k - 10 = -2*b. Suppose -3*n = -k*n + 42. Calculate the common denominator of 21/15*6/n and -31/6.
30
Let b = -7 - -9. Suppose m + w = 4*w - 5, 0 = 2*m + 4*w - 20. Suppose 3*f + 2*n - 12 = 0, f + 7*n = m*n + 11. What is the lowest common multiple of b and f?
2
Let z(v) = v**3 + 8*v**2 - 5*v - 5. Let y be z(-8). Let g be (y/14)/(1/(-6)). Find the common denominator of 37/36 and 3/g - (-2428)/240.
36
Suppose -8*o = -4*n - 7*o + 50, 5*o + 10 = 0. Suppose 0*t - 4*t - 96 = 0. What is the smallest common multiple of 6/t + 34/8 and n?
12
Let u = 7861 - 7828. Let s = -30 - -54. What is the least common multiple of u and s?
264
Let u = 142503 + -1430759/10. Let g = 576 + u. What is the common denominator of -61/90 and g?
90
What is the smallest common multiple of 8 and -7 - (-34 + 0) - 6/2?
24
Let x = -33406445/8456 - -31605/8. Let n be 5/10570*463 + -2. Let s = n - x. What is the common denominator of s and -51/22?
154
Let p = -12204 + 268553/22. What is the common denominator of p and -17/7?
154
Let h(n) = 11*n - 52. Let x be h(5). Suppose 0 = -5*l + 23 - x. What is the lowest common multiple of 2 and l?
4
Let w = -1565/46 + 35/23. Let u = -676 + 6113/9. Find the common denominator of w and u.
18
Suppose -2*s + 0*s = -680. Let j = s - -296. Let m = j - 3127/5. Calculate the common denominator of m and 37/8.
40
Suppose -a + 2 = 0, 4*a - 5 + 1 = 2*u. Let r = 10 - 19. What is the least common multiple of u and (r/5)/((-6)/20)?
6
Let j be ((-4)/(-4)*-1)/(-1). Let c be 3 + 3/(-2 - j). Suppose -q + 0*q + c = 0. What is the lowest common multiple of q and 12?
12
Let p(d) = -d**2 - 2. Let c be p(3). Calculate the lowest common multiple of 7 and 8/44 - 53/c.
35
Let q = 13361/20 + -11669/10. Let y = q + 500. Let l = -174/121 - -975/242. Find the common denominator of l and y.
220
Let q(h) = -108*h + 11. Let l be q(9). Let r = -1546 - l. Calculate the common denominator of 43/22 and (r/48)/5 - 2.
176
Let a(d) = 65*d**3 - d**2 + 3*d - 2. Let u be a(2). What is the common denominator of -149/18 and u/84 + -3 + -2 + 3?
126
Suppose 3*s + 2*j + j = -12, 8 = -s - 3*j. Let w be s/12 + 2/12. Let i = w + 10. What is the smallest common multiple of 26 and i?
130
Let s = -1 - -3. Suppose 4*p - 43 - 21 = 2*v, 92 = 4*p + 5*v. What is the lowest common multiple of s and p?
18
Suppose 5*x - 17 = 18. Let g(f) = -4*f + 14. Let q be g(5). Let n(o) = o**2 + 4*o - 1. What is the lowest common multiple of n(q) and x?
77
Suppose -4*t = -10*t + 48. What is the smallest common multiple of 4 and t?
8
Suppose -4*g + 7 = 5*y - 19, -2*y - 2*g = -12. Let m(h) = h**3 - 2*h**2 - 5*h. What is the least common multiple of m(-1) and 8/(-3)*(-3)/y?
4
Let y be ((-2)/(-4))/((-90)/13023). Let v = 964/15 + y. Let k = -138155/12 - -11502. Calculate the common denominator of k and v.
12
Calculate the common denominator of -17/15 and 2 + (-173)/(-45) + -4.
45
Suppose 825 = 26*l - 15*l. What is the least common multiple of l and 45?
225
Let t(v) = 18*v**2 - 10*v + 10. What is the lowest common multiple of t(1) and 84?
252
Let i(h) = 64*h**2 - 2*h. Calculate the lowest common multiple of 6 and i(-2).
780
Let f(z) = -9*z**3 - 11*z - 18. What is the lowest common multiple of f(-2) and 16?
304
Let n be (2/54408)/((-42)/(-48)). Let i = n + 3475267/1047354. Find the common denominator of i and 79/18.
198
Let w be 1/(-2) - 5475/(-50). Let x = -107 + w. Suppose -5*j + 5 + 35 = 0. Calculate the least common multiple of x and j.
8
Let c be (-1)/4 + (-54)/72. Calculate the smallest common multiple of 6 and 135/20*(3 - c).
54
Suppose 15 + 21 = -4*i. Let f = i - -20. Let b = -11 - -19. Calculate the lowest common multiple of f and b.
88
Suppose 3*t - 4 = 11, 3*a = -t + 137. Find the common denominator of 29/17 and 3 - a/12 - 287/6.
34
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