at is the common denominator of (6/105)/(36/28 - c) and 113/18?
90
Let o = 3465462 + -3150103334/909. Let k = o - -44/101. Let s = -1195/186 - 85/31. Find the common denominator of s and k.
18
Suppose -9 = b - 3*k, k - 4 = 5*b - 15. Calculate the common denominator of b*1/(6/51) and 12/5.
10
Let h(y) = -y + 17 - 2*y - 2*y + 2*y. Calculate the common denominator of -89/2 and h(5).
2
Let w be ((-3302)/(-105))/(504/(-54)). Let k = -3/98 + w. Find the common denominator of k and 115/6.
30
Suppose 0 = -4*q + 3*n + 311, 95 = q + 3*n + 2*n. Let z be (q/12)/((-2)/(-3)). Suppose z = -0*p + p. Calculate the least common multiple of 20 and p.
20
Suppose -13 = -w + 3*j, -w + 2 + 7 = j. Suppose 3*v - 23 = 4*f + 9, -v - 4*f = 0. What is the least common multiple of v and w?
40
Let a = -8873/20 + 448. What is the common denominator of 31/(-5)*10/(-36) and a?
180
Calculate the common denominator of -53/140 and (-4)/(-18)*-93*21/245.
140
Let y(f) = 7 - 4 + 712*f + 576*f + 860*f. Let l be y(4). Let d = 137469/16 - l. What is the common denominator of -43/4 and d?
16
Suppose 37*v + 60 = 39*v. What is the lowest common multiple of 22 and v?
330
Suppose 5*f + 3 = 13. What is the lowest common multiple of 3 + -2 + -3 + 3 and f?
2
Let j(f) = f**3 + 5*f**2 - 5*f + 5. Let l be j(-6). Let r(b) = -b + 1. Let p = 37 + -26. What is the least common multiple of r(l) and p?
22
Let a(d) = -70*d - 16. What is the smallest common multiple of 18 and a(-1)?
54
Suppose 5*s - 6 + 96 = -c, -2*s - 36 = 4*c. Let k = 47093/16 + -2939. Calculate the common denominator of (58*(-2)/s)/(8/6) and k.
48
Let w = -2/1119 + -63767/8952. Suppose 1 = -5*k + 6, -3*k = -2*i + 9. Find the common denominator of (i/4)/((-21)/104) and w.
56
Let p = 1085 - 14145/13. What is the common denominator of -6/11 and p?
143
Let d = -33/8 - -10165/8. Let m = 1307 - d. What is the common denominator of m and -11/32?
32
Let g(i) = 4*i - 2. Let k(a) = 1. Let d(w) = g(w) - 8*k(w). Suppose 0 = 3*c - 7 - 5. Calculate the smallest common multiple of c and d(7).
36
Suppose -5*q = -3*v - 6 - 10, -2*q - 4*v = 4. Calculate the lowest common multiple of q and 22.
22
Let v(c) = 39*c**3 - c**2 - 2*c - 1. Suppose -6*t = -2*x - 3*t - 5, 4*t = 3*x + 7. What is the common denominator of v(x) and -79/10?
10
Suppose 2*r + 2*u = 90, -165 = -5*r + 3*u + 68. Calculate the lowest common multiple of 2 and r.
46
Suppose 3*q - 9 = -5*v, -5*v - 2 = -2*q + 4. Let m be 6/(-4)*(-6 + v). Calculate the least common multiple of 4 and (-6)/m - 14/(-3).
4
Suppose 4*i = -0*i - 8, 0 = -b + 4*i + 92. Let t = b - 74. Calculate the smallest common multiple of 8 and t.
40
Let j(h) = -4*h**3 - 4*h**2 - 3*h. Let i be j(-2). Let p = 42 - i. Calculate the lowest common multiple of p and 8.
40
Let c = -122 + 44. Let w be 12/c + (-7894)/234. Let u = w - -101/9. Calculate the common denominator of 11/7 and u.
21
Let p = 12576/1355 + -22/271. Let r be ((-32)/120)/(3/1895). Let b = r - -6757/36. Calculate the common denominator of b and p.
20
What is the smallest common multiple of (8 - (-8)/8)/(6/4) and 380?
1140
Calculate the common denominator of 8988/56*2/(-162) and 101/24.
216
Suppose -5*u + 3*a + a = -42, -2*a + 18 = 4*u. Suppose 25 = -u*t + 97. What is the smallest common multiple of t and 16?
48
Let o = -3097 - 381. Let w = 13831/4 + o. Find the common denominator of w and -5/18.
36
Let j be (-4)/(-10) + 4332/(-30). Let b = j - -150. Calculate the least common multiple of b and 146.
438
Let s(g) = 22*g**2 - 4*g + 10. Let k be s(3). Suppose k = 9*z + 5*z. Calculate the least common multiple of z and 10.
70
Calculate the common denominator of -99/68 and (-6)/(-4680)*497 - (-2)/(-13).
1020
Suppose -5*q = -5*d - 425, 2*d = 4*q - 139 - 211. Calculate the least common multiple of q and 75.
450
Suppose 3*g = g - 5*d + 18, -d - 18 = -5*g. Let p be (-567)/35*(-6 - -1). Let n = p - 69. What is the least common multiple of g and n?
12
Suppose 0 = 3*n + 3*o + 9, 2*n - 2 = 4*o + 10. What is the common denominator of -67/6 and n + 4/(-3)*(-77)/84?
18
Let s(g) = 9*g - 12. Let m be s(3). What is the common denominator of (m/12)/((-15)/(-85)) and 89/22?
132
Let q = 1/1663 + 78151/16630. What is the common denominator of q and -37/176?
880
Suppose -2*v - 40 = -6*v. Let t(d) = -2*d**2 - 21*d - 33. Let i be t(-8). Let q = v - i. What is the lowest common multiple of q and 11?
33
Let g(y) = y**2 + 6*y + 2. Let m be g(-6). Suppose 0 = -5*t + m + 13. Suppose l - t*l = -64. Calculate the lowest common multiple of 18 and l.
288
Find the common denominator of (-4)/((-2080)/2398) + 185/(-37) and 37/78.
780
Suppose -3*f + 5 = 2*h, h - 5 = 2*f - 3*f. Let l(a) = -2*a - 9. Let v be l(-7). Let i = 11 + v. What is the smallest common multiple of i and h?
80
Let n(q) = q**2 + 5*q - 2. Let h be (9/12)/(2/(-16)). Let r be n(h). Let i = 14 - r. What is the smallest common multiple of i and 22?
110
What is the least common multiple of ((-151)/3)/(17/(-102)) - 2 and 110?
3300
Let l = -85 + 89. Suppose 5*f = 2*k - 18, -2 - 2 = 2*f. Suppose -5*w - k*u + 10 = 0, -26 = -w - u + 5*u. What is the lowest common multiple of w and l?
12
Let c be 10/(-5) - 1*-2. Let f(p) = p**3 - 7*p**2 + p - 3. Let d be f(7). Suppose d*z - 24 - 20 = c. What is the least common multiple of z and 9?
99
What is the common denominator of 21/32*(-11)/(-3) and (6/(-56))/(126/1519)?
96
Let f = -24 + 46. Let g = f + -32. Calculate the common denominator of g/(-8)*(-1460)/(-50) and 7/11.
22
Suppose 2*g + 2*g - 124 = 0. Suppose -7 = 3*r - g. Suppose -r*t = -4*t - 24. Calculate the lowest common multiple of t and 4.
12
Let j(p) = -109*p - 30. Let l be j(-4). Let x = 787/2 - l. Let y = 6/6059 - 612079/121180. Find the common denominator of x and y.
20
Let c be (-1 - -4)/6*-552. Let f be 107/c - (-10)/30. Let b = f + 4191/92. What is the common denominator of b and -53/12?
12
Find the common denominator of 133/12 and (5 - 2)*-1 + (-21720)/(-8010).
1068
Let s = -484 - -532. Calculate the smallest common multiple of 72 and s.
144
Let w be 2/3 - 926/(-6). Let d = w + -339/2. Let p = -9/427 + -58445/2562. What is the common denominator of d and p?
6
Calculate the least common multiple of (-3 + (-9)/3)/((-26)/65) and 81.
405
Let q = 80 + -92. What is the common denominator of (4/1)/(-1) - (-255)/q and 51/4?
4
Let o = -47329 + 26729. Let s = 36038554 - 432215311/12. Let g = s + o. What is the common denominator of g and -71/9?
36
Suppose -5*a + 682 = w, -a + 126 = -0*a - 5*w. What is the smallest common multiple of 136 and a?
136
Let w = 104369/12 + -8707. Let a = 5260862203663/1826648121480 + -1/578053203. Let b = 2/395 - a. What is the common denominator of w and b?
24
Let n(b) = 17*b + 4. Let i be n(3). Let t = i + -44. Suppose -4*r - 32 = -2*w - w, 0 = -w - 5*r - 2. What is the smallest common multiple of w and t?
88
Let p = 4 + -2. Suppose 0 = -p*y - 4*c + 56, -4*y = -4*c + c - 90. Let o(u) = u**3 - u**2 - 5*u + 3. What is the least common multiple of o(3) and y?
24
Suppose -2*y = -5*i + 70, 4*y - y = -15. Let a = 20 - i. Calculate the smallest common multiple of 10 and a.
40
What is the common denominator of 35/253 and 504/(-63) + (-1 - 2465/(-276))?
3036
Suppose -3*k - 3 = 5*o, 0 = 2*o - k + 3*k + 2. Suppose o = 5*h + 50 + 270. Let p = 483/8 + h. Find the common denominator of p and -59/9.
72
Calculate the common denominator of (-630)/200 - (-4 - 0) and -19/4.
20
Let o(i) = i - 36. Let p(v) = -v + 73. Let b(y) = 5*o(y) + 2*p(y). Suppose 0 = t - 1, -4*x + 5*t = -8*x + 65. Calculate the least common multiple of b(x) and 5.
55
Suppose -9*m - 455 = 4*m. Let j = m - -41. What is the smallest common multiple of 2 and j?
6
Let s = -394979/19914 - -3/3319. Find the common denominator of -145/78 and s.
78
Let z = -1792/645 + 1/1935. What is the common denominator of z and -9/17?
153
Let n be (-3642)/(-4)*-2 - (-8)/2. Let i = -32857/18 - n. What is the common denominator of -23/3 and i?
18
Suppose 0 = -p + 2022 - 774. Let s = -12491/10 + p. Find the common denominator of s and -91/6.
30
Suppose 2*r - 7*a + 41 = -2*a, -5*a + 49 = -3*r. Let b be (0 - 4/6)*33. Let p = r - b. What is the least common multiple of p and 20?
140
Let n(i) = -i**3 - 10*i**2 - 10*i - 6. Let l be n(-9). Suppose z = 5, 0 = l*x - 0*z + 2*z + 467. What is the comm