4 and (s/15)/((-12)/1070).
6
Find the common denominator of 9/194 and 3 - ((-42)/40 - (-12)/30).
1940
Let v = 23 + -20. Calculate the least common multiple of 2 and v.
6
Let f = 24593/154 - 1129/7. Let u = 9588 + -18720. Let h = u + 164263/18. Find the common denominator of h and f.
198
Let d = 2797/2338 + 3/167. Let t = 1311/26 - -1/13. Find the common denominator of t and d.
14
Suppose 8*m = 5*m + 30. Calculate the smallest common multiple of 20 and m.
20
Let c = 67899/22 - 3090. Find the common denominator of c and 49/10.
110
Let z be (-57)/(-3) - 1/1. Let c = -30 + z. Calculate the common denominator of 49/18 and 404/c*6/16.
72
Let u = 9 + -1. Let j = u - 7. What is the least common multiple of (-4)/6 - 8/(-3) and j?
2
Let q(h) = -h**2 + 1. Let j(b) = 4*b**2 - 6*b + 1. Let y(v) = j(v) + 3*q(v). Suppose 2*x + 40 = 6*x. What is the lowest common multiple of y(7) and x?
110
Let l = 16 - 99/2. Let y = 3/425 - 12331/850. Calculate the common denominator of y and l.
2
Find the common denominator of 5 + (-95)/(-40) - 0 and -53/8.
8
Suppose -d - 2*d + 3 = 0. What is the lowest common multiple of d and 3?
3
Find the common denominator of 3/20 and 8/(-14) + 4722/252.
60
Suppose 0 = -3*u - 3*f + 93, -4*f = -u + 4*u - 90. Calculate the least common multiple of u and 4.
68
Suppose 3*m + 70 = -1157. Let r be ((-3)/(-12))/((-22)/36376). Let p = r - m. Calculate the common denominator of p and 50/7.
77
Suppose 7 = 3*j - j + s, s - 22 = -5*j. Suppose 3*m - 14 = -2*a, 3*m + 4*a = m + 12. What is the lowest common multiple of m and j?
20
Let l = 3130760206557602/23309 - 134315509286. Let t = 4/2119 + l. Let a = -26 + t. What is the common denominator of a and -23/6?
66
Let o = -2218/7 + 9579/28. What is the common denominator of o and 37/2?
4
Suppose 7 = -4*y + 5*a, -a + 11 = -4*y - 0*y. Let n = y - -3. Suppose n*t = -2*t + 4*f + 18, -5*t = -3*f - 52. What is the lowest common multiple of t and 9?
99
Let s(z) = -z**3 + 5*z**2 + 3*z - 2. Let d be s(6). Calculate the common denominator of 127/(-15 + -1 - 2) and ((678/d)/(-1))/(-3).
90
Let i(u) = u**2 + 21*u + 20. What is the lowest common multiple of 6 and i(-21)?
60
Suppose -4*d + 352 - 312 = 0. What is the lowest common multiple of d and 82?
410
Let a(f) = -f**2 - 11*f + 2. Let w be a(-11). Suppose 0 = 5*n - g - w*g - 34, 14 = 2*n - g. What is the least common multiple of n and 9?
72
Let x be (15/(-20))/(1/(-88)). Calculate the common denominator of 10/55 + 989/x and 10/3.
6
Calculate the common denominator of 50 and (9 - 13) + 64/6.
3
Calculate the common denominator of 10/(-22)*28/5 and (-19)/76 + 19/(-10).
220
Calculate the least common multiple of (-6 - -4) + 3*8 and 50.
550
Suppose 3*x - 83 = -0*x + 2*n, -n = -3*x + 82. Suppose -3*y = -5*y + j - 16, j = -y - 5. Let q = y + x. Calculate the lowest common multiple of 18 and q.
180
Let m be (-24)/(60/(-16) - -3). Let h = -23 + m. What is the lowest common multiple of 11 and h?
99
Suppose 3*d + 4 = j + 9, -8 = 4*d - 5*j. What is the lowest common multiple of 11 and d?
33
Let p = -7 - -13. What is the lowest common multiple of (9 + -1)/((-6)/(-6)) and p?
24
Suppose 0 = -4*s + s + 21. Suppose 31 = 2*t - s. Let l = -8 + t. What is the smallest common multiple of 8 and l?
88
Suppose -3*a = -4*a + 1. Suppose 2*n = 3*r + a, -5*n + 3*n = -4*r + 2. Calculate the lowest common multiple of (-4)/14 + 90/21 and n.
20
Suppose 15 = 109*p - 106*p. Calculate the smallest common multiple of 2 and p.
10
Calculate the common denominator of -63/4 and 1 + (1 - (-29)/(-14)).
28
Let b = -12 - -10. Calculate the common denominator of (b/(-44))/(3/108) and -16/3.
33
Let x = 14308/5 - 630027/220. Calculate the common denominator of 61/10 and x.
220
Suppose -1 - 14 = -3*x, 0 = -5*l - 5*x - 325. Let c = l + 116. Calculate the lowest common multiple of 6 and -1 - (-1*c)/2.
66
Let j = -7 - -11. Suppose 2*c + i - 112 = 4*i, 5*c - 294 = j*i. Suppose 2*l + 0*o - 12 = 2*o, -3*o = 5*l - c. What is the least common multiple of l and 2?
10
Suppose -d - 3*d + 72 = 0. Calculate the least common multiple of d and 14.
126
Suppose 4*d + 24 = 6*d. Let u = d + 0. Let o(j) = j**3 + 6*j**2 + 6*j + 6. What is the smallest common multiple of o(-4) and u?
84
What is the common denominator of ((-762)/27)/(-2 + 10/3) and -40/13?
78
What is the lowest common multiple of 10 and ((-4)/12 - -1)*21?
70
What is the common denominator of 22/40*(12 - 0) and -56/11?
55
Let s = -4504/9 - -576359/1152. Let y = 4617/896 - s. Let j = 5 + -11. Find the common denominator of j and y.
7
What is the common denominator of 1 - (-2 + 39/(-36)) and 21/4?
12
Suppose 2*p - 4*p = 64. What is the common denominator of p and (-18)/27 + 9/2?
6
Find the common denominator of (122/(-10))/((-4)/5) and 111/10 - (-18)/(-150)*5.
4
Find the common denominator of -43/8 and (216/12)/(20/14).
40
Let y(n) = -n**3 + 6*n**2 + n. Let p be y(6). Find the common denominator of 2/p*(-585)/(-6) and 23/3.
6
Suppose -11 = -i + 9. Calculate the lowest common multiple of i and 20.
20
Let h = 8684 + -182422/21. Calculate the common denominator of 89/6 and h.
42
Suppose -n = -2*j + 6*j - 2781, -3*n = 2*j - 1393. What is the common denominator of j/30 - (2 - 1) and (1/(-36))/(3/(-402))?
18
Let n be (-2771)/150 + (-24)/60. Let w = 101/25 + n. Calculate the common denominator of w and -61/12.
12
Find the common denominator of -67/18 and ((-687)/396 + 2)/(6/48).
198
Suppose 3*c = 19 + 26. What is the common denominator of (22/6)/((-4)/c) and ((-20)/8)/(-5)*(98 + 1)?
4
Let h = -8506/5 + 1693. What is the common denominator of (0 - 0) + 17/(-10) and h?
10
Let f(g) = -g**3 - 8*g**2 + 11. Suppose 0*r + 48 = -6*r. What is the smallest common multiple of f(r) and 2?
22
Let a = -11185/4696 + 4/587. Suppose -12 = 5*j - 4*k - 3, 3*j - 1 = -4*k. Calculate the common denominator of (j/10)/((-1)/(-7)) and a.
40
Let k(y) = -3*y**3 + 2*y**2 - y + 2. Let d be k(2). Calculate the least common multiple of (-3)/(6/d - 0) and 20.
40
Suppose f = 27 - 5. Suppose n - f = 5*l, 3*n = -3*l + 21 - 9. What is the smallest common multiple of 5 and n?
35
Let k(d) = d - 17. Let g be k(0). What is the common denominator of (g/(-11))/1 - 3 and 44/5?
55
Let u(f) = -f**2 - 2*f + 1. Suppose -2*c = 2 + 2. Calculate the smallest common multiple of (5 - 3) + -1 + 7 and u(c).
8
Suppose -g = 2*s - s + 4, 0 = -3*s + 5*g + 28. What is the least common multiple of 2 and s?
2
Suppose r = -2*w - r + 84280, 126415 = 3*w + 4*r. Let s = w + -208819/5. Let i = -1853/5 + s. Calculate the common denominator of i and -40/3.
15
Calculate the common denominator of -3*1 - (-246)/(-216)*4 and -21/20.
180
Let h = 76 + -43. Suppose -36 = -5*g - 11. Calculate the lowest common multiple of g and h.
165
Let q = -2164/117 + -1/234. Let v be (-139228)/(-1990)*(-5)/45. Let x = v - 4/995. Calculate the common denominator of x and q.
18
Let t(o) = o**3 + 9*o**2 - o + 18. Calculate the smallest common multiple of t(-9) and 9.
27
Let g = -735/4 + 2985/16. Find the common denominator of g and 73/2.
16
Let f(k) = -k + 4. Let d(l) = -8*l + 28. Let w(h) = 6*d(h) - 44*f(h). Let m(z) = z**2 - 3*z + 4. What is the least common multiple of m(3) and w(-7)?
20
Find the common denominator of 100*(5 + (-836)/168) and 26/9.
63
Suppose 2*f - 66 = 4*w + 26, 4*f - 144 = -2*w. What is the smallest common multiple of (2 - 16/6)*-30 and f?
380
Let x = -2 - -12. Let t(y) = y**2 - 10*y + 7. What is the smallest common multiple of 5 and t(x)?
35
Calculate the common denominator of -45/14 and (4/8)/(6/(-123)).
28
What is the least common multiple of 10 and 4/(-22) - 2600/(-143)?
90
Suppose 0 = 4*w - 59 - 29. Calculate the smallest common multiple of w and 4.
44
Let u = 1/693 + 22856/9009. Calculate the common denominator of 29/7 and u.
91
Let x = -643024741/738 - -871307. Let c = x + 217/41. Calculate the common denominator of c and -21/16.
144
Let m = -2377/444 + 3/148. Find the common denominator of 2/15 and m.
15
Let u be 11418/28 - (-4)/(-14). Let s(z) = -193*z + 5. Let k be s(2). Let g = u + k. Calculate the common denominator of g and 5/4.
4
Let c(r) = 2*r**2 - 8*r - 16. Let y be c(12). Suppose 3*m = 5*m - y. Suppose 0*n = -4*n + m. What is the smallest common multiple of n and 4?
44
Suppose -4*v = -4*z - 4, 5*z - 3*v - 1 + 2 = 0. Suppose 