733/20. Let z = -1/1502 - -17275/3004. What is the common denominator of n and z?
20
Let z(m) = -m**3 + 12*m**2 - 12. Let f be z(12). Find the common denominator of (-154)/4*f/90 and -19/6.
30
Calculate the common denominator of -37/1939 and ((-142)/3)/(384/288).
3878
Let v = -365/2 - -4049/22. Suppose -4*m - 6*n = -n - 144, n + 27 = m. Find the common denominator of v and m.
11
What is the common denominator of ((-4)/72*4)/((-2)/4) and -37/52?
468
Let c = -36451/6006 + -1/429. What is the common denominator of (1*(-268)/(-10))/(-4) and c?
70
Let m(s) = 6*s**2 - 4*s. Let c be m(2). Suppose t - c = -2*h, -3*h - h = t - 22. What is the lowest common multiple of t and 8 + 2 - (1 - 1)?
10
Let r = -298 + 310. What is the smallest common multiple of 24 and r?
24
Let l = -1777780928039/211852260972 - -7/126403497. Let q = l + -21/838. Find the common denominator of -113/20 and q.
60
Let x = 10 + -4. Calculate the smallest common multiple of x and 15/17 + (-10)/(-85).
6
Let h = 88 - 86. Calculate the common denominator of 143/6 and (3/h - (199 - 1))/9.
6
Suppose -2*u + 4*o + 20 = -0*u, 3*u - 38 = 2*o. Suppose 7*h - 2*h - 60 = 0. What is the lowest common multiple of h and (-268)/(-3) - ((-224)/24)/u?
180
Suppose 20 = 4*h - 5*u + 4*u, u - 12 = -4*h. What is the smallest common multiple of 188 and h?
188
Let o be (-4)/(-6) - 5327/(-42). Let x = o - 174. Find the common denominator of 125/12 and x.
12
Let h = -14215177/6715860 + -1/111931. Calculate the common denominator of h and 17/130.
780
Suppose 0 = 19*i - 22*i - 21. Let y = i + 16. Suppose -11 = h - 2*h. Calculate the smallest common multiple of y and h.
99
Let g = 488 + -448. Calculate the least common multiple of 60 and g.
120
Let s(p) = 21*p - 526. What is the lowest common multiple of s(27) and 328?
328
Let c(g) = -10*g - 18. Let k(h) = 2*h. Let f(a) = c(a) + 2*k(a). Calculate the least common multiple of f(-14) and 8.
264
Let t be ((-2)/(-2))/(-4) + 14815/(-100). Let d = 8609/60 + t. Find the common denominator of d and 67/18.
36
Calculate the common denominator of 75/32 and ((-18)/12 + 0)*(-781)/(-2178).
1056
Let n = 62 + -26. Calculate the common denominator of 1738/n + 2/9 and -67/4.
4
Suppose 2*t + 25 - 1 = 0. Let b = t + 39. What is the lowest common multiple of 3 and b?
27
Suppose 3*h + 4 = 7*h. Let f(k) be the first derivative of 3*k**2/2 - 14*k + 7. What is the smallest common multiple of h and f(8)?
10
Let q = -18 + 32. Suppose 4*p - 32 = -2*b, -q = 5*p - 34. Let a(u) = 9*u**3 - u**2 - 5*u + 5. Calculate the smallest common multiple of b and a(1).
8
Let x = 20 + -14. Suppose -3 = -3*u + x. Suppose 7*t = -4*j + u*t + 48, 2*j - 24 = t. Calculate the least common multiple of j and 50.
300
Let s(f) = -7*f**3 - 7*f**2 - 31. Let c(j) = 3*j**3 + 3*j**2 + 16. Let p(w) = 5*c(w) + 2*s(w). Calculate the least common multiple of 20 and p(0).
180
Let i(j) = -587*j - 1755. Calculate the lowest common multiple of (-1)/(-1) - (-147)/3 and i(-3).
150
Let y = 78 + -22. What is the lowest common multiple of y and 8?
56
Let m = 6 + -2. Suppose 0 = -2*h + 3*h. Suppose h = 8*n - 5*n + 3*u - 45, u - 35 = -3*n. Calculate the lowest common multiple of m and n.
20
Let t(a) = 9*a - 9. Let d be t(0). Calculate the common denominator of -1 - ((-1838)/396 - (-2)/d) and 47/20.
220
Let c = -104 - -153. What is the lowest common multiple of c and 11?
539
Let f = -6/19 + 4/133. Find the common denominator of f and -53/77.
77
Calculate the common denominator of -75*56/4620*3/(18/(-8)) and (-2 + 7)/(24/(-19)).
264
Let m = 10/1019 - -28262/27513. What is the common denominator of m and 131/78?
702
Let n(w) = -3*w - 6. Let s(j) = -2*j + 7. Let g be s(6). Let u = 143 - 137. What is the smallest common multiple of n(g) and u?
18
Let o = -78 + -9. What is the common denominator of o*-3*1/(-12) and -25/16?
16
Let t(n) = -5*n - 9. Let x be t(-3). What is the common denominator of 109/12 and ((-332)/24)/(x + -3)?
36
Let d = -2795/4 - -19639/28. Suppose 8*f = 5*f + 309. Find the common denominator of (-3)/9 - f/60 and d.
140
Suppose -3*r + 4 = 7*j - 3*j, -j = 3*r - 10. Find the common denominator of (38/(-7))/(r/5) and 85/12.
84
Let y = 300 + -265. What is the smallest common multiple of y and 14?
70
What is the common denominator of (-1540)/288 - (-4)/18 and 163/84?
168
Suppose 0 = s - 30 - 18. Let m(z) = -z**3 - 24*z**2 + 31. Let g be m(-24). Let t = 49 - g. Calculate the least common multiple of s and t.
144
Calculate the common denominator of (-549)/(-504) - (-6)/(-9) and 59/4.
168
Let m(z) = 2 + 5 + z**2 - 5 + z. Let y be (-16)/136 - 64/34. What is the least common multiple of m(y) and 2?
4
Suppose 0 = -2*o + 2*n + 38, -4*o - 1 + 82 = n. What is the lowest common multiple of o and 1010?
2020
Let s = -15 - 0. Calculate the common denominator of 18/s*(-1 - -10) and -41/2.
10
Let j = -14342 + 344069/24. Let s = 14341/21 + -4766/7. What is the common denominator of j and s?
168
Let i(b) = 59*b**2 + 2*b - 1. Let g be i(-3). Suppose -5*a + g = 159. Let r = a + -39. What is the smallest common multiple of 6 and r?
102
Let y(f) = 5*f + 15. Let w be y(-11). Calculate the common denominator of 169/30 and (-126)/w + (-12)/(-8).
60
Let b(h) = -h**2 + 9*h - 2. Suppose 16 = 4*c - 0. Calculate the least common multiple of 28 and b(c).
252
Calculate the common denominator of 1584/(-616)*(-2)/11 and -16/427.
4697
Suppose 4*w = -5*a + 206, -a = -4*w - 4*a + 210. What is the least common multiple of w and 6?
54
Suppose -3*b = 5*l - 117, 2*b + 24 = 2*l - 26. Calculate the lowest common multiple of l and 80.
240
Let g(p) = 52*p - 16. Calculate the lowest common multiple of 22 and g(2).
88
Let n = -2/3943 + -390337/39430. Let i = -129 + 73. Find the common denominator of (-150)/i - (1 - -1) and n.
140
Calculate the common denominator of (-275)/(-352)*7/(35/(-2)) and -43/24.
48
Suppose -5*o + 90 = -5*t, -4*o + o - 5*t = -22. Calculate the smallest common multiple of (-3)/((162/(-60))/9) and o.
70
Suppose -4*u + 0*h = -2*h + 2, 0 = -u - 4*h - 23. What is the common denominator of (u + 64/(-3))/(-1) and 18/11?
33
What is the smallest common multiple of 189 and (-5)/(10/196)*8/(-16)?
1323
Let o be (1/145)/((-18)/(-615)). Let t = o + -917/261. Find the common denominator of 73/4 and t.
36
Let k(l) = l + 10. What is the least common multiple of 45 and k(-4)?
90
Let n(f) = -f**2 - 10*f - 7. Let m = 5 - 10. Let p be n(m). Calculate the common denominator of p - 2*(-2)/6 and -46/3.
3
Find the common denominator of -109/516 and 62*2/(-24) - 4/(-18).
1548
Let x = -191 - -193. Let w(t) = 8*t**3 + 2*t - 1. Calculate the least common multiple of x and w(1).
18
Suppose 10*g = 9*g - 19. What is the lowest common multiple of 3 and -8 - g - (1 + 0)?
30
Suppose 0 = 4*u - t - 497, -3*t + 354 = -2*u + 5*u. Let c = -85 + u. Let h = 5954 + -65447/11. Find the common denominator of c and h.
11
Let z = -917/230 - -2/23. Let m = -34121/24 + 1418. What is the common denominator of m and z?
120
Let c = 358 + -3571/10. Calculate the common denominator of c and -79/60.
60
Suppose -3*t + 94 = -6*a + 2*a, 0 = 2*t - a - 56. What is the smallest common multiple of 8 and t?
104
Let j be 7*((-8)/14 - (-8)/28). Find the common denominator of -41/107 and j/(44/18)*(-40)/12.
1177
What is the common denominator of 15/(-20)*(-498)/1107 and 33/5?
1230
Find the common denominator of (-111)/(-777) - 103/(-84) and 79/60.
420
Let c(i) = 2*i**2 + 3*i + 43. What is the lowest common multiple of 345 and c(3)?
4830
Let a(r) = -r**3 - 10*r**2 - 9*r + 8. Suppose 8*v + 63 = v. Let x be a(v). Suppose 6*i - 2*i = x. Calculate the lowest common multiple of 22 and i.
22
Let i be (21/14)/(-3 + 27/12). What is the common denominator of i/((-64)/(-46) + -4) and -29/21?
210
Suppose r + 853365 + 18838172 = 0. Let l = -275836579/14 - r. Let p = l + 11084. Calculate the common denominator of 81/14 and p.
14
Let z(c) = -c**2 - 12*c - 1. Let b(k) = -2*k + 7. Let f be b(9). Let n be z(f). Calculate the common denominator of (-2)/3*n/(-60) and 26/11.
99
Find the common denominator of ((-182)/176 - -1)/((-252)/2604) and -73/8.
88
Calculate the common denominator of ((-268)/(-6))/(10 + 2) and 2/(-11) + 21606/4004.
126
Let q = -31 - -40. What is the smallest common multiple of q and 9?
9
Suppose 0 = -o + 3 + 3