n - 8 = 0. Suppose -251*x + 248*x = -42. Calculate the lowest common multiple of d and x.
28
Let i(g) = 3*g**2 - 6*g + 3. Let s be i(2). Suppose -y + 2*t + s*t + 14 = 0, -2 = -t. What is the least common multiple of y and 20?
120
Suppose 17*x + 28 = 2*p + 21*x, 4*p = -3*x + 81. Let k(j) = -j**2 - 8*j - 8. Let o be k(-6). Calculate the smallest common multiple of p and 1/2 + 54/o.
168
Suppose k = -4*z - 14, z + k + 2*k - 2 = 0. Calculate the common denominator of 42*(z/(-1) + 38/(-8)) and 39/2*2/8.
8
Let p(k) = -8*k + 38. Calculate the lowest common multiple of p(0) and 20.
380
Let c(f) = 6*f - 86. What is the common denominator of c(19) and -40/23?
23
Let i(j) = -2*j + 6. Let b be i(4). Let n = 3546/581 - -27/83. Calculate the common denominator of n and 740/(-75) + b/(-3).
35
Suppose -14 = 7*z - 154. Let g = 1 + z. What is the smallest common multiple of 11 and g?
231
Suppose -3*a = -q + 149, 14*a - 12*a - 624 = -4*q. What is the least common multiple of 11 and q?
1705
Let d = 38 - 36. What is the smallest common multiple of (25/10 - d)*6 and 9?
9
Let l = -10910/9 + 87403/72. What is the common denominator of l and 261/12*1/(-5)?
120
Suppose 41*y - 803 = 4117. What is the lowest common multiple of y and 12?
120
Let m be 0 - 0 - (-1294)/(-28). Let l = -33/7 - m. What is the common denominator of -91/16 and l?
16
Suppose 7*g + 902 = 930. Calculate the smallest common multiple of g and 38.
76
Let s = -9934 + 139165/14. Find the common denominator of s and 11/((-154)/(-8)) + 421/(-112).
112
Find the common denominator of ((-6)/4)/((-24)/11) and 387/(-90) + -3 + 8.
80
Let x(a) = 66*a**2 - 9*a - 38. Calculate the lowest common multiple of x(-2) and 18.
2196
Suppose 0 = -5*b - 0*b - 20. What is the common denominator of 71/2 and 1/(11*b/(-188))?
22
Let p = -209 - -213. Let q = -4 - -22. Calculate the smallest common multiple of q and p.
36
Let z be (-4)/14 + 2182/7490. Let v = 484770/937 + -564327367/1002590. Let r = z + v. What is the common denominator of -59/2 and r?
2
Suppose -5*d = -3*d - 2*m + 1388, d + 706 = 4*m. Let b = -6879/10 - d. What is the common denominator of -35/8 and b?
40
Let r = -10645/6 - -1760. What is the common denominator of 89/(-22) - (-24)/6 and r?
66
Let f(z) = z**2 + 2*z - 3. Let b(k) = 33*k + 11. Let q be b(-1). Calculate the least common multiple of f(-6) and q/(-44)*(7 - 1).
21
Suppose -16 = 4*j, 5*o - 3*j = -2*j - 11. Let x be (-3 - (15 + -3))/(50/(-350)). What is the least common multiple of (-2)/(x/(-33) - o) and 6?
66
Find the common denominator of -8/147 and ((-1790)/(-1120) - 5)*(-2)/9.
1176
Let g be 1980/96*(4 + 0). Let p = g + -69. Find the common denominator of p and -163/30.
30
Suppose u = 3*o + 4, 4*u + 4*o + 6 = 5*o. Let g = -6 + 2. Calculate the smallest common multiple of -1*(u + 48/g) and 16.
112
Let z be (-3172)/9960 + (-2)/(-6). Let j = 1450531/1245 + z. Let f = -1177 + j. Calculate the common denominator of 53/8 and f.
40
Calculate the common denominator of -113/10 and 269/(-252) + -7*14/(-392).
630
Suppose -v + 4 = 14. Let o = -20 + 22. What is the lowest common multiple of o and (4/v)/((-2)/110)?
22
Let n(r) = -r**2 - 9*r + 123. Calculate the lowest common multiple of n(-15) and 3.
33
Suppose 4*o - 3*t + 2 = -6*t, -4*t + 18 = -5*o. What is the least common multiple of 27 and 30/o*(-1 - 0)?
135
Suppose -k + y = -7, 0 = 3*k - y + 5*y - 7. Calculate the common denominator of (-1)/k + (-2795)/150 and 2/3.
6
Let k = -190/1437 + 20633/311829. What is the common denominator of k and -61/21?
651
Suppose 2*l - 12 - 700 = -8*p, -2*l = 3*p - 707. Calculate the least common multiple of l and 320.
3520
Let i = 1086 - 932. Calculate the smallest common multiple of 6 and i.
462
Suppose 3*b + 0*b - 32 = 4*r, 3*b - 7 = -r. Let f = 23 + -12. Let s = r + f. What is the lowest common multiple of s and 7?
42
Suppose 3*a - 14 = -2*y, -31 = -5*a - 5*y - 6. Let h = 1483/60 + 7/60. Find the common denominator of h and a*(262/88 - 4).
66
Calculate the common denominator of -61/35 and (-3)/18*(-3)/(-119)*-62.
595
Let b be 4/(-3)*(-4886)/(-8). Let s = b + 800. Calculate the common denominator of s and -65/2.
6
Let n(w) = 3*w - 8. Let l be n(-4). Let u = l - -16. Let o = -1 - u. What is the smallest common multiple of 6 and o?
6
Let q(t) = t**2 - 13*t - 3. Let v be q(9). Let a = v + 43. What is the least common multiple of a and 7?
28
Let k(h) = -3*h**3 + 35*h**2 + 11*h + 26. Calculate the least common multiple of k(12) and 340.
2380
Suppose -28 - 62 = -5*w. Let i be (-2987)/12 - (-24)/w. Let r = i + 503/2. Calculate the common denominator of r and -25/9.
36
Let n be 6/(4 + -1) - 0. Let q(a) = 3*a**2 - 4*a + 3. Let y be q(n). Find the common denominator of 13/7 and (-2076)/(-1092) + (-2)/y.
91
Suppose -3*w = -2*y - 2, 0 = w + 4*y + 3 - 13. Suppose -2*k + 30 - w = 0. What is the common denominator of -59/6 and 5/5 - (-32)/k?
42
Suppose -3*o + 12 = 3*f, -o = -2*f + 3*o - 22. Suppose 0 = -2*h + s + 3*s + 30, 0 = -s - 5. Let y = h + f. Calculate the smallest common multiple of y and 19.
76
Let d = 12811/360 + -71/72. Let b = d - 1479/40. What is the common denominator of b and 123/10?
40
Let d = 11/159 + -1799/212. Calculate the common denominator of d and (-32)/(5 + -13) + (-35)/(-24).
24
Let h = 7805/4 + -1963. Find the common denominator of h and -41/4.
4
Let k be ((-87)/(-15) + 2)*5. Let a = k - 30. Calculate the lowest common multiple of 8 and 20/a + (-10)/45.
8
Suppose 0 = -5*h - 1 - 29. Let s = h + 28. Calculate the least common multiple of s and 18.
198
Let k = 15 + -5. Let g(p) = -p + 12. Let u be g(k). Suppose -w - 5*h = -28, 19 = u*w + 5*h - 17. Calculate the lowest common multiple of 1 and w.
8
Suppose -45 = 2*y - 3*y. Let a be (-4)/(-10) - (-207)/y. Suppose -r = 4*s - 16, -2*r = a*s + r - 20. Calculate the smallest common multiple of s and 22.
44
Suppose 53*y = k + 58*y - 41, 0 = 3*k - 5*y - 103. Calculate the smallest common multiple of 8 and k.
72
Suppose 74 = -5*r - 206. Let p = r - -62. Calculate the smallest common multiple of p and 6/9 - 44/(-6).
24
Suppose 0 = 2*w + 4*o + 24 - 78, 3*o = 4*w - 75. Suppose 5 = -5*c + 20. What is the lowest common multiple of w and c?
21
Let n(w) = w**3 - 8*w**2 + 8*w - 6. Let o be n(7). Find the common denominator of 14/(-4)*1/(-2) and ((-324)/104)/(-3) + o.
52
Find the common denominator of (121/24 + -1)*108/(-360) and -89/60.
240
Let i = 1/120 + -1283/360. Let v = -22433 - -605759/27. Calculate the common denominator of i and v.
27
Let j = 7 + 14. Suppose -2*a - q = -j, 15 = 3*a + 4*q - 29. Let x = 25 + -9. Calculate the smallest common multiple of a and x.
16
Let n(c) = -19*c + 5. Let q be n(2). Let m = -31 - q. What is the smallest common multiple of m and 11?
22
Calculate the common denominator of 21 and 2508/352*4/(-6).
4
Suppose -12*q = 2*t - 16*q - 4, 4*q - 80 = -4*t. Let b be (-1 + 1)/1 + 2. Suppose -80 = -2*z - b*z. Calculate the smallest common multiple of t and z.
140
Suppose -7*k = -4*k + 2*w + 14393, -3*k + 5*w = 14365. What is the common denominator of -115/54 and (2/5)/((-84)/k)?
54
Let q = -23262 - -348727/15. Let i = -86822 - -5210273/60. Let h = q + i. What is the common denominator of 3/8 and h?
40
Let z be (1/2)/(2/28). Let f(d) = -d**2 - 3 + 5 - 5*d + 2*d**2. Calculate the lowest common multiple of f(z) and 8.
16
Suppose 4*t + 3*z - 21 = 0, 45 + 2 = 3*t - 4*z. What is the least common multiple of 155 and t?
1395
Let q(y) = -y**3 - 32*y**2 + 47*y - 1. Let s be q(-33). Let p = 869/2 + s. Calculate the common denominator of p and -19/6.
6
Suppose 66*s = 49*s + 170. Calculate the smallest common multiple of 8 and s.
40
Calculate the lowest common multiple of 8 and (-2 - 12/(-9))/(4/(-24)).
8
Suppose 5*i - 17 = 2*a, -a - 4*i + 5*i = 1. Find the common denominator of 2*2/16*-34 and 632/(-160) - (-2)/a.
20
Let n = -87 - -158. Let s = -62 + n. What is the least common multiple of 3 and s?
9
Let c = -1881 + 2306. Calculate the smallest common multiple of 8 and c.
3400
Let v be (-2111)/12 - (6 - 13)/7. Let s = 176 + v. Calculate the common denominator of -37/16 and s.
48
Let p(f) = 10*f + 2. Let q(s) = -s + 5. Let h be q(-5). Suppose -h = -b + 4. Calculate the least common multiple of p(2) and b.
154
Calculate the common denominator of (-1506)/(-2040) + (-8)/20 a