119/40 + x. Calculate the common denominator of f and -73/6.
24
Let s = -11 - -15. Suppose 47*n - 5 = 52*n. Let m = n - -9. Calculate the lowest common multiple of s and m.
8
Let j be 160/15 + -4 - (-4)/(-6). Find the common denominator of -113/18 and (j/(-22))/((-45)/380).
198
What is the lowest common multiple of 104 and (72/(-21))/((-54)/189)?
312
What is the common denominator of 139/12 and 8/24 + (-5118)/12384?
2064
Let t(h) = 5*h - 26. What is the lowest common multiple of t(8) and 4/14 - (-52)/14?
28
Let r be (9/(-3366))/(2/1312*2). Let m = r + -117/34. Calculate the common denominator of 43/22 and m.
22
Let v = -33 + 30. What is the lowest common multiple of 18 and 44/v*(36/8 - 6)?
198
Suppose 0 = -3*u - 4*h + 39, -12 = -3*u + 8*h - 3*h. What is the least common multiple of 274/18 - (-4)/(-18) and u?
45
Suppose -5*d + 4*c - 23 = 177, 5*d + 3*c = -200. Calculate the lowest common multiple of 28 and d*-3*(-2)/(-6).
280
Let r be (-22)/18 - 2/(-9). Let d be (-2 - r) + (-25415)/(-4525). Let s = d - 3/181. Calculate the common denominator of s and -44/7.
35
Let p(b) = b**3 - 6*b**2 - 10*b - 8. Calculate the lowest common multiple of p(8) and 72.
360
Suppose 12*z = 16*z + 24. Calculate the lowest common multiple of ((-1)/(-2) + 0)/(z/(-180)) and 27.
135
Suppose -q = -2*x - 33, 7*x - 3*x - 5*q = -81. What is the common denominator of ((-88)/(-33))/(x/(-12)) and 2/(-3)*26/24?
126
Suppose -4*m + 3 = 4*i - 17, -4*m + 4*i = -36. What is the smallest common multiple of m and 15?
105
Let o be 22542/8 + 1/4. Let v = -377711 - -2283127/6. Let j = o - v. What is the common denominator of 93/10 and j?
30
Suppose 128 = 4*t - 0*t. Let o(f) = -9*f**2 + 62*f + 15. Calculate the least common multiple of t and o(7).
32
Suppose 2*v = 5*v - 4755. Suppose -3212 = 2*z - 3*a, -5*a + v + 21 = -z. Find the common denominator of -89/22 and (-8)/(-28) + z/280.
220
Let b be 1 + -5 + (-96)/(-16). Suppose -4*x = -10 + b. What is the common denominator of 13/11 and x - (2 + (-12)/38)?
209
Let w(m) = -m**3 - 7*m**2 + 9*m + 12. Let x = 21 + -29. Calculate the smallest common multiple of w(x) and (30/6 + 5)*2.
20
Let s = -18 - -29. Calculate the lowest common multiple of 1104/207*(-3)/2*-1 and s.
88
Let t = 0 + 0. Let g(o) = 5*o**2 - 8*o + 7. Let b be g(4). Suppose -15 = -p - p + 5*v, -3*p + v + b = t. Calculate the smallest common multiple of 6 and p.
60
Find the common denominator of 1084/(-504) + 32/(-56) and -109/336.
1008
Suppose 5*m + 2*o - 128 = -0*m, -2*o = 2. What is the smallest common multiple of (-2 - (-1 + 13))/(-1) and m?
182
Let v = -487703/54 + 9029. Calculate the common denominator of v and 85/18.
54
Let g be 2/(-2)*1 - -7. Let t = -3 + g. Calculate the common denominator of t/5 + 417/(-270) and 101/18.
18
Suppose 0 = -4*y + q + 47, -3 - 27 = -3*y - q. Suppose 156 = 7*f + 6*f. Suppose -u + 1 = -2*s, s + f - 28 = -u. What is the least common multiple of u and y?
11
Suppose 2*n + 7888 = x, x - 2*n - 7918 = -6*n. Let c = -221079/28 + x. Find the common denominator of -25/4 and c.
28
Let c = -46 - -232/5. Let p = 254/15 + c. Let q = -10/109 - -11763/1090. What is the common denominator of q and p?
30
Suppose -g - 9 = -2*o, 2*g + 2*g = -o - 18. Suppose 0 = -5*x + o*x - 60. Find the common denominator of ((-3)/x)/(8/176) and -49/2.
10
Suppose 3*s - 2 = 4*s. What is the common denominator of 5/(20/27)*2 and ((-166)/48)/(s/(-6))?
8
Let y = -1647059/45 - -36603. Calculate the common denominator of -107/40 and y.
360
Suppose -t = -3*y - 12, 2*t = -3*y - 31 + 73. Calculate the lowest common multiple of t and 14.
126
Let s = 2 - -4. Let b = s + -4. What is the least common multiple of (-1)/(-6) - (-40)/48 and b?
2
Let u be -6*((-28)/6)/7. What is the common denominator of 387/(-12)*u*1/30 and -2 + 57/48 + -2?
80
Let r = -96631/18 - -5372. Calculate the common denominator of 37/144 and r.
144
Let h = 37 - 21. Suppose -3*w = -4*o + 19 + 34, 4*o - 57 = -w. What is the lowest common multiple of h and o?
112
Suppose -82*u - 6 = -85*u. Suppose u*w = -5*i + 64, 3*i - 13 = 2*w + 19. What is the smallest common multiple of i and 11?
132
Find the common denominator of -29/735 and 84/(-45) + 2 + 262/210.
735
Let z(y) = -y**3 + 4*y**2 - 11*y - 2. Let o(b) = -2*b**3 + 15*b**2 - 5*b + 2. What is the smallest common multiple of z(-5) and o(7)?
2224
Let i = -2/4905 + -446347/19620. Let b = 373/234 + -158/117. Calculate the common denominator of b and i.
156
Let m = -637063/30 + 21233. What is the common denominator of -40 + 33 - 381/(-30) and m?
30
Suppose 19*v - 20 - 37 = 0. Suppose v*q = -12, -w + 4*q + 36 = 3*w. What is the lowest common multiple of w and 4?
20
Let h(c) = -c**2 - 5*c - 3. Suppose 4911 = -3*j + 4941. Calculate the smallest common multiple of j and h(-4).
10
What is the common denominator of 38/115 and 2/8*18/(-276)*-21?
920
Let s be (1/3)/((-2)/(-48)). Suppose v - s = -v. Let o = -99 + 105. Calculate the smallest common multiple of v and o.
12
Let n = 49448/9 + -5486. Let c = 69 + 129. Calculate the common denominator of n and 2/9*1 + 4675/c.
18
What is the common denominator of 89/36 and ((-2)/(-360))/((-968)/25608)?
1980
Let m = -122 - -185. Find the common denominator of (-10)/65 - (-49)/(-104) and m/12*(-11)/(-3).
8
Find the common denominator of ((-5)/110)/((-14)/28) and 29/167.
1837
Suppose 0 = -x + 3*d + 5, -3*x - 5*d + 27 = -8*d. What is the lowest common multiple of x and 312?
3432
Let z = -51 - -75. Let j(i) = 2*i + 36. What is the lowest common multiple of j(-14) and z?
24
Let s be (2 - 1)/((-7)/21581). Let q = s + 18565/6. Find the common denominator of -31/16 and q.
48
Suppose -2*z + 20 = -5*i, -z - 30 = -4*z - i. Suppose 0 = 5*t - z - 20. What is the smallest common multiple of t and 24?
24
Let d = -1180395877/1394 - -846769. What is the common denominator of -43/8 and d?
5576
Suppose -5*v = -5*f - 65, 2 = f + 4. What is the least common multiple of 1/6 + (-770)/(-60) and v?
143
Let d = 73 - 66. Suppose 0*a + 3*x - 4 = 5*a, -5*a = 4*x - 17. Suppose a = -2*t + 19. Calculate the least common multiple of t and d.
63
Let z = 16 - 11. Let v = 105 + -63. Let a = v + -35. What is the smallest common multiple of z and a?
35
Let l = 32/13 - -580/39. What is the common denominator of -75/4 and l?
12
Calculate the least common multiple of 147 and 3/(-3)*(3 - 5 - 7).
441
Let n(j) = -j**2 - 10*j - 17. What is the lowest common multiple of 8 and n(-5)?
8
Let u = -5728473/76 + 75376. Calculate the common denominator of -13/10 and u.
380
Suppose 2*s - 26 = -0. Let d be 1/3*(40 - 7). Calculate the smallest common multiple of d - 0 - (-5 + 5) and s.
143
Let v(u) = -5*u + 1. Let d(f) = -16*f + 4. Let c(w) = 3*d(w) - 8*v(w). What is the lowest common multiple of (-1)/4 + (-150)/(-24) and c(-2)?
60
Let m be (-4)/14 - (-42677)/(-56). Let o = -18571/24 - m. Find the common denominator of o and (-221)/(-2244) + 5/(-3).
132
Let s(k) = k**3 - 5*k**2 - 4*k - 2. Let h be s(6). Suppose h*v - 12*v = -44. Calculate the lowest common multiple of v and 8.
88
Let f(n) = n**3 - 6*n**2 + 13*n + 28. What is the smallest common multiple of f(7) and 462?
1848
Let o = 54 + -1459/30. Find the common denominator of 47/90 and o.
90
Suppose 4*f - 8 = -3*x - 3, 4*x - 2*f = 36. Let y(l) = l**2 + 5. What is the smallest common multiple of y(-5) and x?
210
Calculate the common denominator of 30/7 and (3/6 + (-8)/(-6))*-15.
14
Let t(h) = h**3 + 27*h**2 + 93*h + 5. Calculate the smallest common multiple of 1246 and t(-4).
1246
Let q = -554239/4 + 137578. Let x = q - -992. Let c = -37703/30 - -6403/5. Find the common denominator of x and c.
12
Let x(q) = -11*q**3 - 2*q**2 + 5*q + 10. Calculate the smallest common multiple of 48 and x(-2).
240
Let a(d) = 13*d + 27. Let i be a(-12). Find the common denominator of -109/12 and 8/14*i/24.
84
Let k = 10 - 4. Let p(t) = -4*t - 67. What is the least common multiple of k and p(-19)?
18
Let j = -101/359 + 29737/84006. What is the common denominator of j and -76/117?
234
Suppose 0 = 4*f + u - 28, -33 + 5 = -4*f - 5*u. What is the lowest common multiple of f and 26?
182
Let d(q) = -q**3 - 7*q**2 - 10*q - 17. Let b be d(-7). Calculate the common denominator of -55/7 and -3 - b*14/(-244).
854
Let r = 3154 + -28319/9. Let y = 35/13 + -1897/130. What is the common