
Find the common denominator of 45/14 and (15/75)/(14/295).
14
Let h = 1143/2 - 523. What is the common denominator of -29/4 and h?
4
Let d be (50/(-8))/((-1)/4). Suppose 0 = -u - 5*x - d, 6 = -2*u + x - 0*x. What is the common denominator of (-437)/30 - (-3)/u and -24/7?
42
Let m(z) = z**2 - 14. Calculate the least common multiple of m(6) and 6.
66
Let q = -3 - -1. Let t(v) = -v**3 + 2*v**2 + v + 1. Let z be t(q). Suppose -2*d - 3*d = -o - z, -d = -5. What is the lowest common multiple of 14 and o?
70
Let k be 42/(-2) + (0 - -1). What is the smallest common multiple of 12/(-20)*k/2 and 8?
24
Suppose 16 = -3*y + 2*f, y + y = -4*f - 16. Let u(a) = -a - 5. Let h be u(-4). Let p = h - y. Calculate the lowest common multiple of 7 and p.
35
Find the common denominator of -59/4 and (1/(-7))/(12/288).
28
Let c be (-2)/6 - (-5893)/3. What is the common denominator of c/(-112) - (-8)/28 and -39/4?
4
Let x = -567 - -11845/21. Calculate the common denominator of 43/57 and x.
399
Suppose 2*u = 4*l - 40, -3*l + 9*u = 4*u - 30. Suppose -34 = -a + 4*o, -5*a - 2*o = -5*o - 119. Calculate the lowest common multiple of l and a.
110
Let s = -93 + 109. Let p(f) = -f - 3. Calculate the least common multiple of s and p(-5).
16
What is the common denominator of 19/26 and 114/63*15/4?
182
Let z = -1/18 - -1/2. Let t = 4/51 - -115/51. Let h = t - z. Calculate the common denominator of 13 and h.
9
Suppose -6*i + p = -2*i - 39, 3*i + 4*p - 53 = 0. Calculate the least common multiple of i and 81.
891
Suppose -4*l - 9 = -l. What is the smallest common multiple of (1 + -3)/(2/(-9)) and l - (-9 + (0 - -1))?
45
Let q = 649/30 + -83/10. Let m = 148363/6498 + 4/3249. Calculate the common denominator of m and q.
6
Suppose 0 = 5*q - 9 - 11. Suppose -2 = -n + 2*r + 12, -q*n + 4*r + 72 = 0. Let k = n - 14. What is the smallest common multiple of k and 7?
56
What is the common denominator of -109/12 and (-3 + 4 + -38)/2?
12
What is the smallest common multiple of 6 and 0/3 + 28/7?
12
Suppose -3*l + 15 = -5*h + 125, 3*l + 66 = 3*h. Suppose -4*x + 66 = -5*o, x - 4*x + 36 = 3*o. What is the smallest common multiple of h and x?
154
Let d = 15/209 + -7107/2926. Let m = 77383373/1068396 - -3/2314858. Let f = m + -856/13. Calculate the common denominator of d and f.
84
What is the common denominator of 300/32 + -2 + -4 and -71/8?
8
Suppose -4*h + 3*h = 5*g - 19, 4*g = 2*h + 4. Suppose 3 = k - 1. What is the smallest common multiple of 15 + 2 + (h - 3) and k?
36
What is the common denominator of 35/11 and (1 - 78/20) + -3?
110
Let r(a) = a**2 - 11*a + 14. What is the lowest common multiple of 3 and r(10)?
12
Suppose 3*h + 12 = 2*i + 7*h, -i + 4*h - 18 = 0. Let s(q) = -q - 2. Let r be s(-2). Calculate the common denominator of 97/2 and r - i - 78/16.
8
Let n = 877393/132714 + -1/22119. Find the common denominator of n and 97/2.
18
Let o(j) = -2*j - 5. Let n be o(-4). Suppose -5*p = -2*y - 7, n*p = 1 + 8. What is the lowest common multiple of y and 3?
12
Let p = 1489 - 8957/6. Calculate the common denominator of 65/4 and p.
12
What is the common denominator of -51/8 and 62*((-10)/4 + 3)?
8
Let i = 12119/18 + -672. Find the common denominator of -7/16 and i.
144
Let f(d) = -4*d - 1. Calculate the smallest common multiple of 9 and f(-2).
63
What is the common denominator of ((-188)/6)/(((-28)/(-1))/(-7)) and 47/4?
12
Let n = 2 - 0. Suppose 7 = -3*s + 22. Suppose 130 = s*c - 5*f - 0*f, 3*c = -5*f + 46. What is the least common multiple of c and n?
22
Calculate the lowest common multiple of 10 and (-10)/(-40) - 117/(-12).
10
Let x(w) = 4*w**2 - 1. Let y(k) = -k**2 + 6*k + 1. Calculate the lowest common multiple of y(3) and x(1).
30
Suppose 326 = -5*z + x - 134, 5*x = -2*z - 157. What is the lowest common multiple of 14/z + (-316)/(-26) and 18?
36
Suppose o = -2*o + 30. What is the least common multiple of o and 8?
40
Let i = -17/469 + -50013/4690. What is the common denominator of (-387)/48*(-1)/3 and i?
80
Let v = 10 - -26. Calculate the smallest common multiple of v and 10.
180
Suppose -4*j + 20 = 0, -u + 4*u + 13155 = 3*j. Let m = 17613/4 + u. Calculate the common denominator of m and 8/9.
36
Let p(z) = -2*z + 5. Let w be p(-9). Let g = 33 - w. Calculate the smallest common multiple of 6 and g.
30
Let n = 107 - 43. Suppose o = -2*h + 38 + 7, 3*h - 2*o - n = 0. What is the smallest common multiple of 8 and h?
88
Let s(q) = q - 7. Let g be s(3). Calculate the lowest common multiple of (-1 + -3)*2/g and 4.
4
What is the common denominator of 2 - (0 + 1) - (-172)/56 and -8/7?
14
Suppose 0 = 3*i - 6*i. Suppose i = m - 2 - 6. Suppose -m = -u + 1. What is the lowest common multiple of 7 and u?
63
Let u(y) = 3*y**2 + 7*y + 16. Suppose -p - 3*x = -26, -77 = -2*p - 5*x - 29. Calculate the smallest common multiple of p and u(-3).
154
Let c = -1189/418 + 67/19. Let k be (-39550)/(-18) + (-8)/36. Let o = 48371/22 - k. Find the common denominator of c and o.
22
Let s(u) = -17*u - 1. Let a be 2*(10/4)/(-5). Let h be s(a). Suppose -4*m + g + h = -3*g, 0 = -5*g + 15. What is the lowest common multiple of 9 and m?
63
Let n(g) = g + 11. Let s be n(10). What is the least common multiple of 18 and 4/(-14) + 384/s?
18
Let n be (-4)/(-18)*(-258)/8. Let q = 29017/9 - 3216. Let x = q + n. What is the common denominator of 59/4 and x?
36
Suppose -x + 31 = x + 3*m, -53 = -4*x + 3*m. Find the common denominator of -23/3 and x.
3
Suppose -120 = s - 7*s. Suppose 2 = 5*y - 8. What is the lowest common multiple of y and s?
20
Calculate the common denominator of 1380/(-216) - (-6)/(-4) and 2 + 1/(-2)*41.
18
What is the common denominator of -121/6 and (-1)/2*129/(-24)?
48
Suppose -3*s + 59 = 5. What is the smallest common multiple of 16 and s?
144
Let x = -729917/40 + 18245. Find the common denominator of x and 49/40.
40
Let j be (-10)/3*(-24)/(-26). Let g = -431/26 - j. Find the common denominator of g and 77/10.
10
Let i = -97 + 101. What is the least common multiple of 16 and i?
16
Let u = 119 + 59. Find the common denominator of 81/14 and (u/(-36))/(10/(-15)).
84
Let h(z) be the first derivative of -z**4/4 + 2*z**3 - 5*z**2/2 - 2*z + 2. Let g = -13 + 17. Calculate the lowest common multiple of h(g) and 16.
80
Suppose 15*t - 17*t + 16 = 0. Calculate the smallest common multiple of 12 and t.
24
Let o = -1387269/87094 + -1/6221. Let k = o + 66/7. What is the common denominator of k and ((-1212)/32)/(6/(-4))?
4
Suppose 5*r = -4*b + 71, -4*r + 5 = -2*b + 21. Calculate the common denominator of -13/9 and (-4)/8 - (-15)/b.
63
Let u(g) = g + 21. Let d be u(-10). Suppose 2*n + d = 3*n. What is the least common multiple of 6 and n?
66
What is the least common multiple of 4 and ((-2)/(-3))/((-8)/(-120))?
20
Suppose 0 = -3*s + 13 - 1. Let p = -42 + 64. What is the least common multiple of p and s?
44
Suppose 39 - 17 = s. Calculate the lowest common multiple of 14 and s.
154
Suppose -15 = 2*m - 1. Let g = m - -10. Let i(h) = -3*h - 9. Calculate the smallest common multiple of g and i(-6).
9
Let a = 761/9 + -84. What is the common denominator of -12/11 and a?
99
Let f = 1163/4 - 150031/516. Let i be ((-8)/(-4128))/((-2)/(-5297)). Let o = i + f. Calculate the common denominator of o and 35.
8
Let j = 5183/8 - 645. Find the common denominator of 115/14 and j.
56
Let i = -116951/22 - -5320. Find the common denominator of i and -45/34.
374
Let n = -1133 - -353. Let x = n - -7809/10. Calculate the common denominator of (-1)/3*186/(-16) and x.
40
Suppose 0 = j + 2*j. Suppose q - 4 + j = 0. What is the least common multiple of 16 and q?
16
Suppose 4*t = 4*c + 4, -c - 9 + 3 = -2*t. What is the smallest common multiple of 10 and t/(15/9) + 15?
90
Calculate the smallest common multiple of 7 and 28/8 - (-1)/2.
28
Let h = -1 - -7. Let y be 0/(3*(-2)/(-6)). Suppose y = -n - 4 + 9. Calculate the lowest common multiple of n and h.
30
Let x = -16 + 27. What is the smallest common multiple of 2 and x?
22
Calculate the lowest common multiple of 5/((-20)/(-8))*4 and (1 + -2)*(-3 - -1).
8
Let a be 33/6 + (-4)/8. Suppose -2*l - 12 = -b, -b = 2*b - a*l - 34. Calculate the lowest common multiple of 22 and b.
88
Let b(c) = 120*c**2 - 7*c - 5. Let z be b(-4). Let f = z - 7727/4. Calculate the common denominator of -3 - -1 - (-332)/(-16) and f.
4
Find the