the least common multiple of 8 and n.
40
Let t = -62/21 - 89/7. Find the common denominator of t and (-15)/25 + (-421)/(-10).
6
Let b = -12 - -18. Suppose -3*o = 2*o + 4*p - 6, -o + 6 = -4*p. Suppose 3*a + o*a = -25, 2*a = -3*t + 11. Calculate the smallest common multiple of t and b.
42
Let y(v) = -v**3 + 6*v**2 - 3*v + 1. Calculate the least common multiple of y(5) and 8.
88
Let z = 39 + -73. Calculate the least common multiple of 1/(-2) - z/4 and (-2*1)/2 + 7.
24
Let m = 15302380450702519/813427305340 + 74267289/6555404. Let u = m - 1561556/83. Let d = -9/299 + u. Calculate the common denominator of d and -7/8.
40
Let w = -3406/415 + -16/83. Find the common denominator of w and -43/4.
20
Let r = -11 - -47. Let l = r - 22. Suppose 4*v + 3*y - 52 = 0, 8*v - 4*v - 20 = 5*y. Calculate the least common multiple of l and v.
70
Let g = 6946 + -17441. Let j be 3/6*293658/14. Let w = g + j. What is the common denominator of -91/10 and w?
70
Suppose 0*t = 5*t. What is the common denominator of 92/(-32) + (1 - t) and -57/5?
40
Suppose 0 = -3*k + 5*k + 2*u - 2, 5*k + u - 17 = 0. What is the lowest common multiple of k and 7?
28
Suppose -9*h = -7*h - 44. Calculate the lowest common multiple of h and 14.
154
Let k = 88495/49212 + 10/1367. Find the common denominator of -95/18 and k.
36
What is the least common multiple of ((-15)/(-4))/5 - (-645)/20 and 27?
297
Let u be (-2)/(-4) + (-1266857714130)/(-4). Let j = -21706340074648733/68536 + u. Let v = 2/8567 - j. What is the common denominator of -89/8 and v?
8
Let a(y) = 2*y - 6. Let t be a(7). Let g = 6 - t. Calculate the common denominator of 18/5 and (-235)/g*(-3)/(-15).
10
Let w = 0 + -9. Let m = 11 + w. What is the least common multiple of m and 2?
2
Let x = 7413/16 - 596625/1232. Let f be (2/(-7))/(2/(-141)). Let s = f + x. Calculate the common denominator of 17/2 and s.
22
Let b = -2/963 - -35639/3852. Let k = 29/10 - -14/15. Calculate the common denominator of k and b.
12
Let g(r) = r**2 + r**2 - r - 4 + 2. Suppose 0*a + a - o - 11 = 0, -15 = 3*o. What is the least common multiple of a and g(-2)?
24
Suppose -2*t + 6 = 4. Suppose 2*k - t = 7. What is the common denominator of 763/(-189)*(-6)/k and 121/18?
18
Let s(c) = 3*c - 7. Let d be s(6). Let m be 1 + 2 + d/1. Find the common denominator of (-279)/21*m/(-40) and -85/12.
60
Let s = 8 + -5. Suppose 5*t - 2*d - 106 = 0, -s*d + d + 34 = 2*t. What is the smallest common multiple of 114/27 + 6/(-27) and t?
20
Let u = 871 - -1351. Suppose 4*w + u = -1698. Let k = w + 9829/10. What is the common denominator of -31/8 and k?
40
Let z(c) = -c**2 - c + 3. Let n be z(0). Suppose n*q = 4*q - 6. Calculate the smallest common multiple of q and 14.
42
Let b = -3148/5 + 40694/65. Find the common denominator of b and -62/9.
117
Suppose -k - 32 = -3*k. Let r = 26 - k. Let g(d) = -d + 1. What is the lowest common multiple of r and g(0)?
10
What is the common denominator of (30 - (5 + 4/(-2)))/2 and 81/4?
4
Suppose -4*f - f - 10 = 0. Let k = -449 + 35. Calculate the common denominator of -47/4 and (f/3)/(32/k).
8
Suppose 3*u + 105 = 5*h, 2*u + 86 = -0*u - 2*h. Suppose 3*r + 17 = 2*y, r = -y + 4*r + 7. Calculate the lowest common multiple of u/(-15)*27/4 and y.
90
Suppose -7*d + 4*d = 9. Find the common denominator of 5/11 and d.
11
Suppose -2*p = p - 24. Suppose 4*r = -0*r + 8. Calculate the lowest common multiple of r and p.
8
Let m = 21 + -2. Let a = -13 + m. What is the smallest common multiple of a and -1*(-3)/(-6)*-12?
6
Let t = 17/687 - 9490/300219. Let a = 31943/6118 + t. Find the common denominator of a and ((-4)/10)/(28/355).
14
Let m(z) = z**2 - 3*z + 1. Calculate the smallest common multiple of m(4) and 5.
5
Let j be ((-6)/4)/(65/474). Let r = j + -82/65. Find the common denominator of 2*56/(-10) - -2 and r.
5
Let y = 3/1189 - -48725/9512. Calculate the common denominator of -27/10 and y.
40
Find the common denominator of 2955/(-70) - 2/7 and 3/(12/(-85)) - (-42)/56.
2
Let q(s) = 5*s - 11. Let t be q(9). Calculate the common denominator of 2 + t/(-8)*1 and 494/72 - 6/(-27).
12
Let p(s) = -337*s**2 - 3*s - 1. Let i be p(-3). Let h = 5131 + i. Let a = -19022/9 + h. What is the common denominator of 57/8 and a?
72
Suppose -2*t - 119 = t - p, 4*t + 176 = -3*p. Suppose -a - 43 = 2*n - 136, -2*n + a = -99. What is the common denominator of n and t?
1
Suppose i - 5 = s, 4*i + 7*s = 4*s + 13. Calculate the lowest common multiple of 6 and i.
12
Let w be (-4)/16 + 3211874/1176. Let p = 18478/49 - w. Let f = -2343 - p. Find the common denominator of -61/6 and f.
6
Suppose 0 = -4*u - 7 + 43. What is the least common multiple of 5 and u?
45
Suppose 0 = -0*h + 3*h + 18. What is the common denominator of 10/h*(-6)/(-4) and 134/(-16) - (0 - -2)?
8
Suppose -3*b + 498 = -0*b. Find the common denominator of (4/(-8))/(2/b) and 9/2.
2
Suppose 0 = -q - 103 + 117. What is the lowest common multiple of 50 and q?
350
Suppose 40 = -3*z + 5*z. Let i = z + -13. Suppose -5*y = -5*d - 20, 4*y + 0*y + 5*d - 34 = 0. What is the smallest common multiple of i and y?
42
Let c = 4135/2 - 6262/3. What is the common denominator of -1 + 0 + 261/(-60) and c?
60
Let k = -1 - -6. Suppose 2*q - 3*g - 50 = 0, -k*q - g - g = -106. Calculate the smallest common multiple of q and 10.
110
Suppose -6*t = -0*t - 36. Calculate the least common multiple of 5 and t.
30
What is the common denominator of -11/3 and (70/175)/((-12)/70)?
3
Let w be (1/23)/(2/(-132)). Let l = w + 1391/92. Calculate the common denominator of l and 170/42 + 6/9.
28
Let z(y) = -y + 5. Calculate the smallest common multiple of z(-5) and 18.
90
Let a = 180/47 - -2007/470. What is the common denominator of a and 99/10?
10
Let l be ((-21606)/36)/(7/93). Let p = l - -7970. Find the common denominator of -131/6 and p.
42
Calculate the lowest common multiple of 5*1 - (14 - 15) and 20.
60
Let c = 3883/4 + -978. What is the common denominator of c and 11/(-33) + 34/(-8)?
12
Let c = -174/47 - -4843/940. Let m = -12/65 + 1567/390. Find the common denominator of m and c.
60
Suppose -10 = 2*t - 20. What is the least common multiple of 6 and 0 + t + 0 + 3?
24
Suppose -6*w + 59 + 25 = 0. Suppose 50 = 5*l - 0*l. Calculate the least common multiple of l and w.
70
Let f be (-3 - -1) + 1 + 1. Let d be (0 - 0) + f/(-2). Suppose -4*o - 10 = -2*w - d*w, -5*o = -w - 1. What is the least common multiple of w and 8?
72
Suppose -d + 42 = 2*d. Calculate the least common multiple of d and 16.
112
Let g = -11 + 18. Let f(j) = -j**3 + 7*j**2 + j + 1. What is the smallest common multiple of f(7) and g?
56
What is the common denominator of (-1606)/84 - 22/(-77) and 105/22?
66
Suppose 5*s - 25 = -0*s. Let b = 1 + 1. Suppose -b*f - 5*i + 10 = -2*i, 4*i = -f. What is the least common multiple of f and s?
40
What is the smallest common multiple of 10 and (-4)/3*72/(-16)?
30
Suppose -h + 18 = 3*z + 2*h, 0 = -3*z + 5*h + 2. Suppose 10*a = 2*r + 5*a - 23, 68 = 2*r + z*a. What is the lowest common multiple of 10 and r?
120
Let r = 393637/39036 - 2/3253. Let l = -5839/42 + 832/7. Find the common denominator of r and l.
12
Suppose 0 = 2*c - 457 + 57. Suppose 3*q + 2*q = -c. Calculate the common denominator of 49/20 and (-4)/(-2) - 68/q.
20
Let n = -5927/10 - -594. Let b = n + 349/70. What is the common denominator of b and 83/6?
42
What is the common denominator of (-3 + 284/64)/7 and -53/20?
560
Let r be (-11*3/3)/1. Calculate the common denominator of 3/2 - (-15)/r and 79/14.
154
Let l be (9/(-6))/(6/(-32)). Let m be (30/l)/((-378)/48). Let x = -109/126 - m. What is the common denominator of x and 85/14?
126
Find the common denominator of (-418)/48 - 10/15 and (-4)/(-4) + (-52)/5.
40
Let g = 619659/374 - 308767099/187935. Let k = 21/335 - g. Let i = 1931/1136 + 150/71. What is the common denominator of k and i?
48
Let q = 23 - 19. Suppose -q*v = -32 - 8. Calculate the least common multiple of v and 8.
40
Let p = 8537/4 - 2124. What is the common denominator of p and -46?
4
Let x(f) be the second derivative of -f**4/12 + 3*f**3/2 - 3*f**2 - 2*f. What is the smallest common multiple of 16 and x(5)?
112
What is the least common multiple of (-1530)/(-95) + 4/(-38) and 6?
48
What is the lowest common multiple of 22 and (-3)/(-15) + (-178)/(-10)?
198
Suppose 87 = -3*q - 2*z,