3. Let d be v(5). Let z = -3 + d. Suppose 0 = -2*q + 6, -i - i + z*q = 13. Calculate the least common multiple of i and 6.
6
Let q be (-3 - -5) + (-1468894)/(-362680). Let t = q - 1/9067. Calculate the common denominator of t and 71/24.
120
Let i = -1049/10 + 106. Let r = -27108 - -83293/3. Let u = -27791/42 + r. What is the common denominator of u and i?
70
Suppose -29*n - 25*n + 1620 = 0. Calculate the smallest common multiple of 195 and n.
390
Let k be (-5255534)/180 - (-1)/(-5). Let y(z) = -6*z**3 - 2*z**2 - 17*z + 17. Let h be y(-17). Let j = k + h. Calculate the common denominator of -1/10 and j.
90
Let m = -35/1042 - 7931/89612. What is the common denominator of m and 9/22?
1892
Let q = -1921/660 - -2/33. Calculate the common denominator of q and ((-8395)/(-150))/(-23)*(-25)/15.
180
Let z = 117 - 9. Calculate the least common multiple of z and 102.
1836
Let d(w) = -2*w**2 - 16*w - 11. Let b be d(-7). Suppose 0 = -2*c + 4*y + 30, 4*c - y + b = 63. Calculate the least common multiple of c and 6.
30
Let c be (-3666)/32*(-1 - -13). Let b = c - -1366. What is the common denominator of b and 52/(-780)*10/(-12)*-133?
36
Let k = 28443 - 1706507/60. What is the common denominator of -89/24 and k?
120
Suppose 0 = 3*t - 5*c - 86 + 73, -3*t = -3*c - 15. Let v(a) = 3*a**2 + 4*a + 2. Calculate the least common multiple of v(-2) and t.
6
Suppose 4*j + 2*c = -j + 340, -3*j = 3*c - 195. Calculate the common denominator of -2 + j/(-12)*1 and -2/11.
66
Let p = -2580975/1751 + 1474. Let q = p + -194339/38522. What is the common denominator of 637/(-112) - -4*(-1 + 2) and q?
176
Let n = -33 + 21. Let a = -43/4 - n. Calculate the common denominator of -29/20 and a.
20
Let g = -1243446273/10952 + 113536. Let m = -596895/120472 - g. Find the common denominator of m and 2/(108/177) + -1.
198
Let x be 4/(-6)*3531/(-22). Suppose 3*q = 3*t + 57, 3*t - x = -5*q + 2*t. Suppose r - q = 1. What is the smallest common multiple of 10 and r?
110
Let o = 3493/5 - 42631/60. What is the common denominator of (-50)/35*5/4 and o?
84
Suppose -d = 2*k - 12, 0*d - 2*d + 12 = 2*k. Let a be (196/16)/(-7)*4. Calculate the lowest common multiple of 48/4 - (-3 - a) and k.
24
Let f be (-2)/6 + 240/(-9). Let o(a) = -2*a**3 - 2*a**2 + a - 9. Let g be o(3). Calculate the common denominator of 25/3 and g/f + 2/(-2).
9
Suppose 5*t + 5*f - 1085 = 0, 0 = 31*t - 29*t - f - 443. What is the least common multiple of 160 and t?
1760
Let n(k) = -5*k + 42. What is the smallest common multiple of n(6) and 96?
96
Calculate the common denominator of 13/55 and (-20)/(-2200)*(-230)/8.
440
Let r(c) = -5*c + 0 - 4*c + 13 + 8*c. Let z be r(8). What is the common denominator of 4/z + (-77)/15 and 7/15?
15
Suppose -w + 2*t = -2*t - 56, 4*w - t - 284 = 0. What is the lowest common multiple of w and 48?
144
Let n = 30 + -6. What is the least common multiple of 30 and n?
120
Let n(u) = u**2 - 18*u + 10. What is the smallest common multiple of 25 and n(20)?
50
Suppose -64 - 24 = -4*s. Let l be s/10 + (-44)/(-55). Suppose l*t = 15, 3*f = 2*t + 8 + 15. Calculate the smallest common multiple of 1 and f.
11
Find the common denominator of 4/((-72)/(-22))*(-45 - -39) and 2/4 + (-219)/(-96).
96
Let y = -109 - -2405/22. Suppose 5*d = -v - 70, 3*v + 5*d + 180 = -0*d. Calculate the common denominator of y and 4676/(-1760) - 10/v.
440
Suppose 0 = -4*q - 2*o + 42, 5*o = -5*q + 49 - 4. Suppose -2*g = g - 33. Calculate the least common multiple of q - ((-24)/4)/(-2) and g.
99
Suppose -195 + 402 = 3*x. Suppose 13*i = 35 + x. Let z(h) = -h**2 + h + 6. Calculate the smallest common multiple of i and z(0).
24
Let d be (-1*42)/((-3)/(-2)). Let g = d - -65/2. Calculate the common denominator of g and (-158)/56 + 2/(-8).
14
Let i = -26263/6 + 4391. Let p(g) = -g**2 - 18*g + 36. Let j be p(-20). What is the common denominator of j - 316/(-24) - 3 and i?
6
Let z(g) = 199*g + 2. Let c be z(-2). What is the common denominator of (9/(-42))/(3/16) and 2 + (c/64)/1?
112
Let t = -41/279 + 15941/2790. Calculate the common denominator of t and -89/30.
30
Let w(l) = -l**3 - 16*l**2 + 19*l + 25. Let c be w(-17). Calculate the common denominator of 109/30 and (12/(-4))/c - (-163)/24.
120
Let j = 25 + -16. Suppose 0 = -j*i + 11*i - 4. What is the lowest common multiple of 8 and i?
8
Suppose -66 = -3*a - 5*t + 107, 2*t = -4*a + 226. What is the lowest common multiple of a and 24?
168
Let i(h) = -h + 13. Let j be i(9). Suppose -4*p = -2*p - j. Suppose -c = 4*w - 21, 2*c + 3*c + 5 = p*w. What is the smallest common multiple of 1 and w?
5
What is the common denominator of (-2)/6 - (-2034)/432 and -19/2?
8
Let f be (6/27)/(4/36). Calculate the lowest common multiple of (f/5)/(15/75) and 16.
16
Calculate the common denominator of ((-12)/(-288))/(24/(-4448)) and 32/51.
306
Let k = 2113/4 + -523. Calculate the common denominator of k and 89/(-45) + 2/10 + 4.
36
Suppose -3*r - 18*r = -231. Let p be 1/(2 - 21/12). Calculate the lowest common multiple of p/8*(-1 + 3) and r.
11
Suppose 4*z - 836 = 4*u, 7*z + 1048 = 12*z - 2*u. What is the smallest common multiple of z and 60?
420
Let x = 5886 + -141229/24. What is the common denominator of x and -47/2?
24
Suppose 18 = 5*n - 7*n. Let m(x) = x**2 + 8*x - 11. Let r be m(n). Find the common denominator of -8/5 and r + ((-1060)/(-36))/(-5).
45
Let l = -32 + 26. Find the common denominator of (187/55)/(l/10) and 59/8.
24
Let c(k) = -k - 3. Let b be c(-2). Calculate the lowest common multiple of (b/1)/(-1) - -1 and 18.
18
Let l = -348 + 360. Calculate the smallest common multiple of 264 and l.
264
Let i = 296 + -261. What is the lowest common multiple of i and 115?
805
Let y(a) = -2*a - 8. What is the smallest common multiple of y(-6) and (9 + -12)*30/(-9)?
20
Find the common denominator of ((-9191)/(-42))/(-13)*1 and 17/6.
6
Suppose 3*o = 5*a - 2 - 17, 5*a - 13 = o. Let x(r) = -r + 1. Calculate the least common multiple of x(o) and (-335)/(-15) - (-1)/(-3).
44
Suppose -4*p = 4*v - 24, -2*v - 3*v + 3*p = 2. Let h(z) = 10*z**2 + 33*z - 6. What is the lowest common multiple of v and h(-4)?
22
Calculate the least common multiple of 424 and 188/12 + (-13)/(-39).
848
Suppose 20*k - 17*k = 60. What is the lowest common multiple of k and 4?
20
Let p(y) = y**3 - 11*y**2 + 21*y - 6. Calculate the least common multiple of 9 and p(9).
63
Let j = -1396 + 141004/101. Let z = -2198/303 - j. Find the common denominator of ((-2)/(-4))/((-7)/90) and z.
21
Suppose -4*u = -5*b - 3 + 66, 0 = 5*b + 3*u - 84. Let m = 23 - b. What is the smallest common multiple of 12 and ((-6)/3 + 3)*m?
24
Suppose -11*k + 45 + 10 = 0. Let y = 3 + k. Calculate the smallest common multiple of y and 9.
72
Let j(v) = -2*v**2 + 28*v + 4. Let i(n) = -n**2 + 19*n - 34. Let l be i(16). Calculate the least common multiple of 7 and j(l).
28
Let c be (37660/264)/5*(-20)/(-245). Let h = c + -72/77. Find the common denominator of h and 20/33.
33
Let v(d) = 5*d - 9. Let a be v(7). Suppose 0*z = z - a. Let h = z - -12. What is the lowest common multiple of h and 12?
228
Suppose -2*c - 2*c = -61952. Let a = c - 278695/18. Find the common denominator of a and 149/12.
36
What is the common denominator of (158610/(-49760))/(((-90)/8)/(-3)) and 1/(100/178) - 0?
100
Let a(w) = w**3 - 13*w**2 + w - 16. Suppose r + 0*r = 13. Let n be a(r). Find the common denominator of 13/5 and (-40)/n - 1/(-6).
10
Suppose l - 8 = -12. What is the lowest common multiple of (-182)/(-21) - l/3 and 8?
40
Suppose 4*d = s - 2*s + 20, 2*d - 8 = 0. Calculate the least common multiple of s and (-1)/((112/(-42))/8).
12
Let h = -221/54 + -8/27. Calculate the common denominator of h and 133/156.
468
Let a be 195/27 + (-2)/9. What is the lowest common multiple of 11 and (-3)/a - ((-198)/21 - 2)?
11
Let w(x) = 29*x + 21. Let a be w(-6). Let m be ((-2)/(-6))/(17/a). Calculate the least common multiple of 27/9*(-10)/m and 5.
10
Let w(r) = 2*r + 122. Calculate the least common multiple of 20 and w(6).
1340
Suppose -3*s - 2*p = -2 - 1, 4*s - 5*p - 27 = 0. Suppose -5*j - 12 = s. Calculate the least common multiple of 12 and 23 - (5 + j) - 1.
60
Let l = 14/1272071 + -76450195225/17808994. Let a = l + 4298. Find the common denominator of -1/20 and a.
140
Suppose 0 = -2*a - 4*o + 18, 0 = -3*a - 3*o + 9 + 1