
Let u be (-4744)/(-20) + (-2)/10. Find the common denominator of ((-1)/(-6))/(3/u) and 1/6*-1*79.
6
Let p be (16 - 2 - 0) + 0. Suppose -t - p = 8. Calculate the common denominator of t/4*(-50)/15 and 38.
3
Let g = -12 - -16. What is the smallest common multiple of 3 and g?
12
Calculate the common denominator of 41/24*(10 + -9) and 41/10.
120
Suppose t + 3*c = -0*c + 1, t + 4*c = 2. Find the common denominator of -31/10 and t + ((-246)/10)/3.
10
Suppose -3*v - 2*k = -24, -5*v + 5*k = -0*v - 15. Calculate the lowest common multiple of 1 and v.
6
Suppose s - 1 = 1. Suppose 5*l + 2919 = -3*n, 0*l = -3*l - s*n - 1752. Let t = 1101/2 + l. What is the common denominator of t and -3/10?
10
Let s = -1027 - -11313/11. What is the common denominator of (-2)/4 + 87/(-66) and s?
11
Let d(q) = -12*q**3 + q + 8. Let f be d(9). Let a = -174669/20 - f. Find the common denominator of a and -131/18.
180
What is the least common multiple of 192/18 + (-6)/9 and 7?
70
Suppose 3 = -2*j + 1. Let i = -190 - -188. What is the common denominator of j/2 + (-9)/22 and i?
11
Let n be 6/(-9) + (-2326)/36. Let r = n + 66. What is the common denominator of -5/18 and r?
18
Let s = -1/63 + -355/126. Find the common denominator of s and 15/8.
24
Let h be (-11)/(-2) - (-27)/(-18). Suppose -3*o = -h*o + 7. Calculate the smallest common multiple of 5 and o.
35
Let u = 14 + -8. Calculate the lowest common multiple of u and 26/117 + 248/18.
42
Let b(d) = 412*d - 3 - 63*d + 2 + 2. Let m be b(3). Let h = m - 2045/2. What is the common denominator of h and 43/22?
22
Let d(o) = -o**3 + 6*o**2 - 6*o + 1. Let b be d(4). Find the common denominator of ((-11)/3)/(30/b) and 41/14.
70
Let n(g) = -20*g + 2. Calculate the least common multiple of n(-1) and 34.
374
Suppose 10 = 4*p - 14. Calculate the least common multiple of 4 and p.
12
Let m = -12241011241/415114 + 4393186/149. Let s = -74/199 + m. Let u = 44901/14 - 3204. What is the common denominator of s and u?
14
Let n = 42/17 + -597/221. What is the common denominator of n and -59/4?
52
Suppose 3*l - 4*c - 11 - 14 = 0, -2*l = -3*c - 18. What is the least common multiple of 4 and (2 - 1)/(l/9)?
12
Suppose 5*f + 7 = 32. Suppose -f = -5*y + 25. What is the lowest common multiple of 1 and y?
6
Let t = 4 + -6. Let o = 4 + t. What is the lowest common multiple of o and 18?
18
Let b be 2/7 + (-52)/(-14). Find the common denominator of (14/b)/(20/(-8)) and -59/9.
45
Suppose 7 + 17 = 4*n. Suppose n = -2*o + 3*o. Calculate the least common multiple of 8 and o.
24
What is the lowest common multiple of 36 and (-279)/(-27) - 3/9?
180
Calculate the common denominator of -19/18 and (-189)/(-22) + -2 + 2/(-1).
198
Let h(z) = -z**3 + z**2 - 120. Let s be h(0). Calculate the common denominator of -22/3 and (-1532)/s - 4/(-10).
6
Suppose -18 = -s - 5*n, -2*s + 9 = -3*n - 14. Let t = 22 - s. Calculate the lowest common multiple of 7 and t.
63
Let g(z) = -z**2 + 6*z + 15. Calculate the least common multiple of 36 and g(7).
72
Let t = -213 - -1093/5. Find the common denominator of (-159)/(-105) - 3/(-15) and t.
35
Let t(a) = -a - 1. Let d(u) be the first derivative of u**4/4 - 7*u**3/3 - 7*u**2/2 - 6. Calculate the least common multiple of d(8) and t(-4).
24
Calculate the common denominator of 13/14 and 6/(-15)*(-670)/8.
14
Let y = 32 - 26. Let z(a) = 5*a + 4. Let r be z(6). Suppose -5*x = 5*o - 125, -3*x - o + 31 = -r. What is the lowest common multiple of y and x?
60
Let f be (-3)/((-6)/(-82)) - -1. Let m = -22 - f. Calculate the least common multiple of 6 and m.
18
Let c(m) = 4*m + 12. Let t be c(-5). Calculate the common denominator of -67/12 and (-9)/t*(-2)/21.
84
Let t(o) = o - 5. Let w(x) = 1. Let h(s) = 2*t(s) + 11*w(s). Let r be h(1). Suppose 15 + r = b. Calculate the lowest common multiple of b and 20.
180
Let t = -157 - -632. Let g = t - 838. What is the common denominator of 6/(-15) + g/(-30) and -23/10?
10
Let h = 529547/24 + -22068. Find the common denominator of -65/6 and h.
24
Let a = -1255 + -2623. Let n = -54345/14 - a. Let r = 2884 + -23043/8. Calculate the common denominator of r and n.
56
Suppose -15 = -3*y + 21. Calculate the least common multiple of y and 6.
12
Suppose 5*t + 121 = 5*g - 4, 96 = -3*t - 4*g. What is the common denominator of -7/13 and t?
13
Let b = -4 + 22. Calculate the lowest common multiple of 14 and b.
126
Suppose -3*x - x + 3*r = 10, 5*r = -3*x - 22. Let t = x - 2. Calculate the common denominator of t/(-21) - 514/(-308) and -151/18.
198
Let x(w) = 12*w**3 - w**2 + w - 1. What is the lowest common multiple of x(1) and 10?
110
Calculate the least common multiple of 34/3 + 2/(-6) and (1/(-3))/((-1)/33).
11
Let v = 4344 - 17463/4. Calculate the common denominator of v and -103/40.
40
What is the common denominator of 69/16 and 2/(-80)*(-510)/(-4)?
16
Let h(k) = 1 - 4 + 3 + k. Let d be h(-6). Find the common denominator of d/(-15)*(-10)/(-32) and -42.
8
Let h(s) = -s**3 + 10*s**2 + s + 12. Calculate the lowest common multiple of 6 and h(10).
66
Let q = -497/794 + -444085/272342. Let n = q - 10/343. Calculate the common denominator of n and -7/10.
70
Let m = 35 + -23. Calculate the least common multiple of m and 20.
60
Suppose -3*x - 4*s - 2 = -24, 0 = 2*s - 8. Calculate the least common multiple of 5 and x.
10
Let r(v) = -v**2 + 3*v + 3. Let d = -1213/4 + 629/2. Find the common denominator of d and r(-5).
4
Let b = -10 + 32. Let r = b + -16. What is the smallest common multiple of 4 and r?
12
Let w be (-473)/(-2) - 2/(-4). Let f = 46 - 26. Calculate the common denominator of 19/10 and ((-4)/(-6))/(f/w).
10
Find the common denominator of 29/2 and -1*48 + 3/(-6).
2
Let z = -274799/20 - -13750. Let j = z + -259/20. Calculate the common denominator of j and (-4)/(-1)*(-39)/(-132).
110
Suppose 15 = -0*u + 5*u + 2*a, 0 = -u - 5*a + 3. What is the lowest common multiple of u and 30?
30
Suppose 0 = h - 5*h + 12. Find the common denominator of 7 - (h + -1)/2 and 19/9.
9
Let r = 1370 - 19239/14. Calculate the common denominator of 73/10 and r.
70
Suppose 0 = f + 4*b - 4, -3*f - 2*b + 27 = -5*b. What is the common denominator of 2/(-16)*(-1 + f) and 4 + 196/8 - (1 - 5)?
8
Let a be (20/(-6))/((-1)/(-3)). Let c = a - 21. Let g = c + 53. What is the lowest common multiple of g and 14?
154
Suppose r + 2 = 0, -3*m - r + 35 = -35. What is the lowest common multiple of 2 and m?
24
Let k(g) = -g**3 - 7*g**2 - 7*g + 8. Let m = -13 - -2. Let s = m + 15. What is the smallest common multiple of k(-6) and s?
28
Let w = -27 - -41. Suppose -i - 2*x = -w, -6*x + 2*x - 72 = -3*i. What is the least common multiple of 10 and i?
20
Let c be 5 - (2/(-2) + 3). Let v = -553385/22 - -25158. Calculate the common denominator of c - ((-588)/(-88))/1 and v.
22
Let r = 504/19 + -8367/266. What is the common denominator of r and 119/20?
140
Let u = -3497 + 42043/12. Calculate the common denominator of 79/4 and u.
12
Suppose 4*g = -g. Let t(q) = -q + 18. Calculate the smallest common multiple of t(9) and (g - 1) + 3 - -2.
36
Let z = -79 - -91. Let v = 8 - -14. What is the least common multiple of v and z?
132
Calculate the lowest common multiple of 3/2*(-24)/18 + 16 and 16.
112
Let k(i) = i**3 + i**2 - i + 9. Calculate the smallest common multiple of k(0) and 7.
63
Let a(x) = 10*x - 3. Let t be a(2). Let p = t + -1. Calculate the lowest common multiple of 22 and p.
176
Suppose 0 = -6*c + 27 - 3. Calculate the smallest common multiple of c and 10.
20
Let f be (-8)/318*58062/(-238). Let i = -5/901 - f. Let v = -44494/11 - -4049. Calculate the common denominator of v and i.
77
Suppose -2*q + 4*p = -18, 5*q - 7*p - 38 = -4*p. Suppose -5 = 5*o, l + 4 = 4*o - 9*o. What is the lowest common multiple of q and l?
7
Let a be 1/((1/6)/(-1)). Calculate the common denominator of -3/11 and 76/a*(-45)/(-12).
22
What is the common denominator of 300/8 + 0 + 1 and 119/18?
18
Let u = 39 - 45. Let d = 14 - 22. Find the common denominator of (d/u)/(22/36) and 59/9.
99
Let j be 62211 - (2 + -3) - 2. Let a be (j/48 - -2) + -2. Let p = 1293 - a. What is the common denominator of p and 121/10?
120
Find the common denominator of 550/(-72) + (-2)/(-9) and (-946)/160 - (-7)/70*6.
48
Let k(l) = l - 3. Suppose -1 - 15 = -4*i. Suppose x + i*x = 40. What is the smallest common multiple o