61/2 + w. Let g = -1709/30 - -173/3. Calculate the common denominator of z and g.
10
Let j(y) = -y**2 + 9*y + 5. Let l be j(9). Suppose 54 = -2*v + l*v. Calculate the lowest common multiple of v and 18.
18
Find the common denominator of -1/33 and 1 - (220/9)/4.
99
What is the common denominator of -123/10 and -3 + (-244)/48 - (-4)/(-6)?
20
Suppose -3*m = m + c - 28, -2*c = 4*m - 24. Calculate the least common multiple of m and 6.
24
Let v(b) = b**2 - 5*b - 5. Let k = -5 - -12. What is the lowest common multiple of 6 and v(k)?
18
Let b = 22 + -11. Let k(n) = 2*n**2 - 2. Let z(j) = -j**3 + 10*j**2 - j + 12. Let w be z(10). Calculate the lowest common multiple of k(w) and b.
66
Let c be (1 - 2) + -1 + 20. Calculate the common denominator of -41*(c/(-20) - -1) and (-4 - -48)*(-1)/9.
90
Suppose -5*w + 6 - 37 = -4*j, -2*w - 6 = 0. Let a be 1/2 - (-2)/j. Let h = 7 - a. What is the smallest common multiple of 4 and h?
12
Suppose -5*f + f = -48. What is the lowest common multiple of 4 and f?
12
Suppose 5*j - 2*j - 4*g = 28, -4*j + 5*g + 36 = 0. What is the common denominator of ((-78)/8)/((-22)/j) and -111/20?
220
Let q(k) = k**3 - 7*k**2 - 9*k + 11. Let o be q(8). Let d = 1 + o. Calculate the lowest common multiple of 12 and d.
12
Let k = -72/47 + -1307/282. What is the common denominator of 85/2 and k?
6
Let n be -1 - -1 - (-40 + 5). Let b = 8 + -2. Suppose v + b = n. Calculate the common denominator of -87/8 and v.
8
Suppose -3*c = -12, 0*v = -v - 2*c - 7493. Let a = 59933/8 + v. Calculate the common denominator of -23/12 and a.
24
Let y(k) = -2*k + 45. Calculate the smallest common multiple of 7 and y(21).
21
Let m = -3801/5 - -23441/30. What is the common denominator of 9/39*101/(-6) and m?
78
Suppose 0 = 4*a + 12 + 12. What is the common denominator of 81/20 and 706/120 + a/18?
20
Let s = 2/2361 - 177083/9444. What is the common denominator of 1/6 and s?
12
Let a = 60890146/4935 + 5101/329. Let r = 12359 - a. What is the common denominator of -41/2 and r?
30
Suppose -2*w = 2*d + 4, -2*w + w = -3*d - 10. What is the common denominator of 2/40 - (-1 + 1 + 2) and 238/12 - (-1)/w?
60
Suppose -k + 4 = -10. Find the common denominator of -41/18 and (k/4)/((-40)/72).
90
Let b = 6658 + -40051/6. What is the common denominator of b and 118/14*(-2)/4?
42
Suppose n + 0*n + 23 = 4*o, 0 = -4*o + 5*n + 19. Calculate the smallest common multiple of o and 20.
60
Let c(t) = -t**2 + 11*t + 14. Let v be c(12). Calculate the common denominator of -93/8 and 57/v*(-2)/(-5).
40
Let b be (-1)/(1/(-7) - 0). Suppose -5*d + 2*i = -56, -2*i + 7 = 2*d - b. Let n = 18 + -16. What is the lowest common multiple of n and d?
10
Let i(l) = l**3 - 4*l**2 + 3*l - 4. Calculate the smallest common multiple of i(4) and 8.
8
Suppose 3 = -5*c + 43. What is the common denominator of -21/4 and 34/(-20) - 2/c?
20
Let u = 73 - 31. Calculate the lowest common multiple of u/(-8)*24/(-9) and 20.
140
Suppose -2*p + 18 + 6 = 5*s, 4*p = 8. What is the lowest common multiple of 9 and s?
36
Let x = 3 - -3. Let v(y) = -y**2 + 7*y - 7. Let o be v(x). What is the common denominator of o + (-117)/30 + -2 and 7/10?
10
Let c be (-31890)/(-4)*16/20. Let l = c - 50959/8. What is the common denominator of -2 + (-2 - 101/(-22)) and l?
88
Suppose 0 = -3*s - 2*y + 277, 5*s = -6*y + y + 465. Let b = s + -63. Let g = 50 - b. What is the least common multiple of g and 10?
110
Let z = 3139 + -21927/7. Calculate the common denominator of z and 24/11.
77
Let j be 0/1 - (2 - 0). What is the smallest common multiple of -1*(12 + 2)/j and 6?
42
Let n = 19/2703790 + 3160044122/1485732605. Let b = n - -5/314. What is the common denominator of b and -45/8?
56
Suppose 2*g - 41 = 7. Let m = 34 - g. Suppose -3*s + f = -4*s + 7, -3*s + 9 = -f. What is the smallest common multiple of m and s?
20
Let u = 6 + -3. Let n(g) = 4*g - 2 + 1 + 6*g**u - 5*g + g**2. Calculate the common denominator of 6/11 and n(2).
11
Suppose -4 = -0*s - 2*s. Let l(m) = -m**3 + 5*m**2 + 6*m + 6. Let t be l(6). Calculate the least common multiple of s and 2/t - (-58)/6.
10
Let r be (9/4)/((-9)/(-24)). Let m = 8 - r. Calculate the smallest common multiple of m and 2.
2
Let c = -158893/12 + 13231. What is the common denominator of c and -137/30?
60
Suppose -4*c + 5*q - 18 + 63 = 0, 0 = 4*c + 4*q - 36. What is the least common multiple of c and 4?
20
Let r = -25/8 - -157/40. Find the common denominator of r and (11/33)/((-2)/(-7)).
30
Let q(v) = -6*v - 2. Suppose 4*g = -14 + 78. What is the smallest common multiple of q(-4) and g?
176
Let k = -133 + 88. Let f = 38957/4724 + 4/1181. Calculate the common denominator of k and f.
4
Let x = 50/13 - -875/26. Find the common denominator of x and -6/7.
14
Let y be -33*3/9*-2. Calculate the common denominator of 73/20 and (-2)/(-5)*y/16.
20
Suppose -4*t = -0*t - 16. What is the lowest common multiple of 18 and t?
36
Find the common denominator of 36/5 and ((-2)/22)/(12/(-516)).
55
Find the common denominator of -32/9 and ((-2)/(-12))/(1/35).
18
Let s(f) = -2*f - 2. Let n be s(-3). Suppose -n*a - 977 = 1963. Let w = -2883/4 - a. Find the common denominator of w and -97/8.
8
Let q = 267/17 - -319/102. Find the common denominator of q and (2/(-44))/(6/(-648)).
66
Let m(b) = 28*b**2 - 2*b - 2. Let f be m(2). Suppose 4*p + f + 86 = 0. Let n = -949/20 - p. Find the common denominator of n and -79/22.
220
Let p = 22 - 10. Suppose -4*t = -0*t + 40. Let b = p + t. Calculate the lowest common multiple of 14 and b.
14
Calculate the common denominator of 83/14 and 52/(-120) - (-3)/(-5).
210
Let n = 1222 + -12281/10. Calculate the common denominator of n and (-107)/12 + 0 + 1.
60
What is the common denominator of 990/(-176) + (-1)/(-2) and 61/24?
24
Let d = -1 + 14. What is the lowest common multiple of (-284)/(-13) + 2/d and 8?
88
Calculate the lowest common multiple of 7 and ((-12)/16)/((-9)/132).
77
Let g(s) = -s - 11. Let f be g(-8). Let o(t) = -12*t + 3. Let h be o(f). Let c = -21 + h. Calculate the least common multiple of c and 12.
36
Suppose -c - 1 + 0 = 0. Let i be (((-1430)/(-4))/(-5))/c. Let v = 70 - i. Calculate the common denominator of v and 19/5.
10
Let j be 8/(-9)*(-1)/274. Let v = j - 38279/17262. What is the common denominator of v and 69/20?
140
Calculate the common denominator of 6/(16*4/36) and -25/6.
24
Let q = -31 + 51. Calculate the smallest common multiple of 6 and q.
60
Suppose -5*y + 25 = -15. Calculate the least common multiple of 12 and y.
24
Let y(v) = -v**3 + 6*v**2 - 2*v + 8. Let m be y(6). Let j = m - -12. What is the lowest common multiple of j and 1?
8
Let l(x) = x**2 - 4*x + 4. Calculate the smallest common multiple of ((-5)/2 + 2)*-22 and l(5).
99
Suppose t = 6*t. Suppose -3*f = -12 - t. Suppose z = 1 + 7. What is the lowest common multiple of z and f?
8
Let h(x) = x**3 + x**2 + 14. Calculate the lowest common multiple of 98 and h(0).
98
Let d(g) = -1. Let b(o) = 2*o + 5. Let t(l) = b(l) + 5*d(l). Suppose 0 = -3*q + 2 + 1. What is the smallest common multiple of q and t(3)?
6
Find the common denominator of (-58)/4*3/(-21) and 3332/72 - 4/(-18) - 1.
14
Let w = -49/5 - -61/20. Calculate the common denominator of w and 60/28 + ((-3)/6)/1.
28
Let a = 684 - 2032/3. What is the common denominator of a and -2/9?
9
Let t = -20/63 + -5825/504. Find the common denominator of t and -57/5.
40
Let o = 307317969/2882 + -2106959985827/28820. Let r = -73001139 - o. Let n = r + 2230/11. Calculate the common denominator of n and -17/18.
180
Suppose -2*w + 101 = -v, -5*w - v + 254 = -3*v. Calculate the common denominator of w/6*9/96 and 47/12.
48
Let d = -17 - -21. What is the least common multiple of d and 4?
4
Suppose 3*y - 15 = 0, 5*c - 3*y = 7 + 23. What is the least common multiple of c and 24?
72
Suppose -4080 = -3*h - h. Suppose -b = -h - 259. Let z = b + -2489/2. What is the common denominator of -25 and z?
2
Let b = 14 + -8. Let s = 4 - 2. Calculate the smallest common multiple of b and s.
6
Suppose 5*o - 8 = 3*q, 4*o = 8*o - 5*q + 4. Suppose 0 = 4*x - 16, 2*t - 14 = -0*x + o*x. What is the least common multiple of 16 and 160/t - 4/6?
80
Let m = -6 + -1. Let n = -5 - m. What is the smallest common multiple of 7 and n?
14
Let q be (-30268)/(-40) - 2/10. Let u = 726 - q. Calculate the common denomina