Let p = 16 + r. What is the lowest common multiple of p and 10?
80
Let r = 14/5 - 1. Calculate the common denominator of r and (115/7)/((-36)/42).
30
Let m be 3 + (2 + -2 - -1). Suppose 2*a = 4*a - 6, -m*a - 54 = -3*y. Calculate the lowest common multiple of 18 and y.
198
Suppose 0 = 8*b + 45 + 211. What is the common denominator of b + ((-4)/(-8) - 1 - -2) and -89/12?
12
Let m = -144707532 - -270603099017/1870. Let r = m + 7/374. What is the common denominator of -21/8 and r?
40
Let q be 965/1338*272/(-70). Let n = 35/446 - q. What is the common denominator of -38/3 and n?
42
Let y(g) = g**3 + 5*g**2 + 10*g + 2. Let d be y(-4). Find the common denominator of 843/(-270) - 2/(-5) and 4 - ((-127)/d - 0).
198
Let r = -11095711/54558 + 8427/433. Let m = -1231/7 - r. Find the common denominator of m and -83/26.
234
Let s = 3607590 + -28807229/8. Let c = 6696 - s. Calculate the common denominator of c and -45/8.
8
Let n = 9541/5 + -1896. Let c(v) = 11*v + 4. Let p be c(-5). What is the common denominator of -2 + 0 + p/(-7) and n?
35
Let v(g) = -g**2 - 24*g - 109. Calculate the smallest common multiple of v(-7) and 34.
170
Suppose -250 = n + 4*n. What is the common denominator of 1/(-2) + (-61)/(-3) and (1 + n/48)*-74?
12
Let s = -340533/55 - -6191. Calculate the common denominator of -49/88 and s.
440
Let o(r) = 8*r - 16. What is the least common multiple of o(3) and 16?
16
Let x = -103 - -1. Let p = 182 + x. Calculate the least common multiple of 10 and p.
80
Calculate the smallest common multiple of 819/21 - (0 + 3) and 48.
144
Suppose 0 = -3*n - n + 8. Suppose -l - n*l + 9 = u, -4*u - 16 = -l. Find the common denominator of 47/2 and (l/(-48))/((-3)/280).
18
Let v be (-28)/7 + (2 - 0) - -5. Suppose 3*h + h = 5*y + 106, v*h - 97 = -5*y. What is the least common multiple of 6 and h?
174
Suppose 0 = -2*q - 5*r + 2, -3*q - 2*r = -2*q. Let y(z) = 2*z + 20. Calculate the smallest common multiple of 18 and y(q).
36
Suppose -c - 1517830 + 91391 = m, 2*c - 2852898 = 2*m. Let x = 14243103/10 + m. Let h = -2136 - x. Find the common denominator of h and -20.
10
Suppose t - 5*w - 24 = 6, 38 = 3*t - 2*w. Suppose 3*u = 5*h - 370, h + 2*h = 2*u + 223. Suppose 0 = 11*a - h - 83. What is the least common multiple of t and a?
70
Find the common denominator of 17/18 and (26/(-192)*2)/(60/(-80)).
36
Let z = 1/879 - 102857/12306. Calculate the common denominator of z and 79/84.
84
Let w = 21530323/3537835 + -2/101081. Let o = -2519/420 - w. What is the common denominator of o and (-1)/14 + (3 - 2)?
84
What is the common denominator of -137/12 and (-344)/(-80) + 4 + -2?
60
Let i = -11 + 19. Let t(m) = -m**3 + 1. What is the least common multiple of 0 + 0 + i/4 + 2 and t(-1)?
4
Suppose 0 = 5*i - 706 + 3291. Let v = -128516 - -774271/6. Let m = v + i. What is the common denominator of -19/10 and m?
30
Let t be 27/(-6)*8/(-6). Let z be (1 - (2 - 2))*t. Calculate the smallest common multiple of 11 and z/21 - (-66)/14.
55
Let c be ((-3)/1 - -3)/(-2). Suppose 32 = 4*k - c*k. What is the smallest common multiple of 18 and k?
72
Suppose -21*w + 15*w = -18. Calculate the common denominator of w/(-2)*(297/(-8))/(-9) and (89/(-168))/((-3)/9).
112
Let v(m) = -3*m + 8. Let b(p) = p - 4. Let h(z) = 5*b(z) + 2*v(z). Calculate the lowest common multiple of 9 and h(-8).
36
Let i = 523/126 - 11/42. Calculate the common denominator of 17/33 and i.
99
Calculate the lowest common multiple of 42 and (70/20)/((-2)/(-36)).
126
Suppose h - f = -9, f + 15 = -2*h + 6*f. Suppose -2*t - 181 = -473. What is the least common multiple of 6/h - t/(-10) and 8?
56
Suppose -3593 = -2*h + 5*w, -6*h - 2*w + 5380 = -3*h. Calculate the common denominator of h/(-660) - (-1)/((-15)/9) and (-2)/1 + (-17)/(-4).
44
Let s be 1124/(-36) + 6/27. Let y = -28 - s. Calculate the lowest common multiple of y and 1.
3
Suppose 2*x = -3*h + 894, 2*x - 2*h + 890 = 4*x. Calculate the common denominator of (x/30)/((-6)/5) and 38.
4
Let d(u) = u**3 - 16*u**2 + 29*u - 14. Let i be d(14). Suppose 8 = -4*f + 24, i = -5*h - 5*f + 95. What is the least common multiple of 9 and h?
45
Let t = -1124/4191 + -5/254. Find the common denominator of -77/12 and t.
132
Calculate the least common multiple of (11/22 - 42/(-4)) + 1 and 36.
36
Let t = -35/18 + 1. Calculate the common denominator of t and -11/117.
234
Let p = 8 + -5. Let s = -704 + 706. Calculate the least common multiple of s and p.
6
What is the common denominator of (28/12)/(-7)*(-58)/12 and -33/62?
558
Let t(b) = 3*b + 1. Let f be t(5). Suppose f*c = 11*c + 5. What is the smallest common multiple of c and 6?
6
Let k(p) = 10*p**3 - 5*p**2 - 2*p - 8. Let g be k(-5). Let n = g + 8285/6. What is the common denominator of ((-21)/(-4))/((-81)/(-120)) and n?
18
Suppose 1727 = 5*g - 2*d, -6*g + 4*d = -5*g - 349. Calculate the smallest common multiple of g and 33.
3795
Let w = 16433/22 - 745. What is the common denominator of w and (-103)/(-927)*(-345)/2?
66
Let o(d) = d**3 - 8*d**2 - 5*d - 3. Let g be o(6). What is the common denominator of (210/(-25) - -4)/((-24)/g) and 71/32?
32
What is the common denominator of 1*2*(-13)/26 + 2205/(-70) and 166/(-16) - (-2)/4?
8
Suppose 0 = q - 2 - 6. Calculate the smallest common multiple of 5 and q.
40
Let b be 1 + 3 - -1 - (-26 + 25). Suppose -6*c - b + 54 = 0. Calculate the smallest common multiple of c and 16.
16
Let s be 10/(-25)*(-50)/8*30. Find the common denominator of (505/s)/((-4)/(-6)) and ((-6)/20)/(2/17).
20
Let u = -562157/24 + 23427. What is the common denominator of u and 1/3*152/(-72)?
216
Let a = -36 - -41. What is the least common multiple of a and 26?
130
Suppose 5*l - 495 = -0*l. Let u = l + -75. Calculate the smallest common multiple of u and 18.
72
Suppose -t - 6 = t. Calculate the common denominator of (901/170 - (-2 + 1)) + -3 and (t/(-4))/((-135)/(-790)).
90
Let y be (3/2)/((-3)/(-2333)). Let d = 1138 - y. Calculate the common denominator of d and 8/6*8733/1640.
10
Let b(f) = -f**3 - 2*f**2 - 2*f - 4. What is the smallest common multiple of 48 and b(-4)?
144
Find the common denominator of 5/37 and 112/(-21)*3*(-36)/80.
185
Let r(v) = -v + 5. Let y be r(6). What is the common denominator of (-4)/14 + (3148/336 - 3) and ((-2)/40)/(y/(-14))?
60
Let k = -53 - -93. Calculate the least common multiple of 1 and k/12 - (-2)/3.
4
Find the common denominator of 53/(-8) + (-7 - -3 - -1) and 143/6.
24
Find the common denominator of (-6 + (-368)/(-12))*63/140 and -115/14.
70
Let y = 84 + 114. Calculate the smallest common multiple of 8 and y.
792
Let a(n) = -4*n + 35. Calculate the lowest common multiple of a(6) and 4.
44
Suppose -t - t = -44. Suppose -69*o - 24 = -1128. Calculate the smallest common multiple of t and o.
176
Suppose 9 = 3*g - 3*l + 3, 0 = -g + 3*l + 12. What is the common denominator of 43/18 and g/(54/(-8))*33/18?
54
Let r = 4175/7 + -149803/252. Find the common denominator of r and 68/81.
324
Let q(n) be the first derivative of -5*n**2/2 - 4*n + 3. Calculate the smallest common multiple of q(-3) and (-6)/(15/180 + (-3)/4).
99
Let o(u) = -u**2 - 10*u + 8. Calculate the lowest common multiple of 10 and o(0).
40
Calculate the least common multiple of 145 and (-4)/42 - (-28847)/1911.
435
Let v(i) = 2*i**2 - 5*i + 5. Suppose -6*o + 21 = o. What is the lowest common multiple of 11 and v(o)?
88
Let n = 135 - 131. Suppose 8*l - 3*l = 50. Suppose 0 = n*q + q - l. What is the least common multiple of q and 18?
18
Let y be 3/(-2)*8/(-6). Suppose -10 = -y*b - 3*b. Calculate the common denominator of 33/4 and (b/6)/(12/(-855)).
4
Let a be (-2)/(11/(-3) - -3). Suppose -a*x - 2*x + 15 = 0. Suppose -2*r - w + 21 = 0, w = -x*r - 0*w + 30. Calculate the lowest common multiple of 1 and r.
9
What is the common denominator of (1 - -3)/(-1 + 150/(-48)) and 41/21?
231
Let d = 42 - 22. Suppose 0 = -2*n - 4*r - 30, 5*n + 11 = r - d. What is the smallest common multiple of (-3)/n + 234/42 and 11?
66
Suppose -h = 4*u - 166, 2*u + 9 + 1 = 0. Let d = 1633/9 - h. Find the common denominator of 11/3 and d.
9
Suppose 0 = -5*l + 7 - 2. Find the common denominator of -22/7 and 3 + l + 40 + -2.
7
What is the common denominator of (-1266)/(-432) - (-2)/(4/(-10)) and 1/63?
504
Let n be 65 + (17 + -1)/(-4). Suppose 1 = -3*u + j + n, -5*j = -3*u + 60