 1. Let t(v) = 6*g(v) + i(v). Let x be t(9). What is the lowest common multiple of x + (0 - 68/(-2)) and 6?
30
Let c = 802574/22645 - -889/1294. Let b = c - 283/7. Find the common denominator of b and (2054/(-156))/(1 - 4/12).
20
Let f be 18/(-8)*1710498/2799. Let p = f + 1375. Let l = p + -31413/1244. What is the common denominator of 20/7 and l?
28
Suppose -3*d = -4*b + 1002, -b + 342 = d + 88. What is the smallest common multiple of b and 57?
4788
Suppose -102 = -5*o - 4*m, -7*o + 4*m = -6*o - 30. Suppose 0 = -0*y - y + 2. What is the least common multiple of o and y?
22
Let s = -536 - -545. What is the smallest common multiple of s and 1?
9
Let o(n) = -n**3 + n**2 - 2*n + 69. Calculate the smallest common multiple of o(0) and 6.
138
Let l be -2 + -131204186 + -1 + 1. Let y = 118346163889/902 + l. Let p = y + 788/41. Calculate the common denominator of p and 61/2.
22
Let k be 3 - (1 - (-3 - -4)). Suppose -3*l = -2*g + k, 2*l + 3*g - 10 = l. What is the lowest common multiple of 6 and (2/(-2) - -10)*l?
18
Let r = 7 + -2. Let v(m) = 3*m**3 + 12*m**2 + m - 18. Calculate the lowest common multiple of v(-3) and r.
30
Let d = 431 - 422. Let p(m) = -m + 1. Let o be p(-4). Let q = 9 - o. Calculate the smallest common multiple of d and q.
36
Suppose 5*n - 116 + 81 = 0. Suppose 3*h = 5*k + 61, 3*h - n*h + 3*k + 63 = 0. What is the lowest common multiple of h and 24?
24
Suppose -3*s + m + 24 = 0, -11*m = -4*s - 6*m + 21. Calculate the least common multiple of s and 2/7 + 38/14.
9
Let y be (-2)/(-10) + 162/(-10). What is the common denominator of ((-6)/(-10))/(y/10) and -4 + ((-470)/(-9))/10?
72
Let q = -8768 + 192809/22. Find the common denominator of q and 59/50.
550
Suppose -12*m - 45 = -15*m. What is the lowest common multiple of 85 and m?
255
Let p = 19238495 + -538597657/28. Let u = -2863 + p. Let f = 1257/28 - u. Calculate the common denominator of f and 1/16.
16
Let w(t) = 2*t - 8. Let a be 3/(-3)*-6 - -3. What is the lowest common multiple of w(a) and 2/(-8) - 114/(-8)?
70
Let b(k) = 6*k + 3. Let p be b(-4). Find the common denominator of (2*p - -1)/2 and 33/10.
10
Calculate the common denominator of (-2)/15 - 9165/17325 and 13/21.
231
Suppose 3*o - 15 = -4*x, -4*o + 2 + 18 = -5*x. Suppose m + 9 - 33 = x. What is the lowest common multiple of m and 7?
168
Let u = -46 - -55. What is the lowest common multiple of 231 and u?
693
Let q be -1*(-3)/((-3)/12*-4). Let l(x) = x. Calculate the least common multiple of 6 and l(q).
6
Suppose -12*c + 197 = 89. What is the least common multiple of 2 and c?
18
Let b = 422 - 227. Calculate the least common multiple of b and 165.
2145
Let t = 1678 + -5030/3. Find the common denominator of t and 49/141.
141
Let v(m) = 2*m**2 + 1 - 3*m**2 - 13*m - 17. What is the least common multiple of 18 and v(-11)?
18
Let p be (-148)/18 + (-2)/(-9). Let d(y) = -y**3 - 19*y**2 - 12*y. Let c be d(p). Let t = 1277/2 + c. Calculate the common denominator of -75/22 and t.
22
Suppose o - 4*o = 0. Suppose 7 = -z - o*z. Calculate the common denominator of 2/5 and ((-1)/(-22))/(z/658).
55
Let c = 534106 - 8549589/16. Let p = c - -240. What is the common denominator of p and 97/16?
16
Let x = -1683 + 15131/9. Calculate the common denominator of x and 151/(-66) + 42/28.
99
Let a = 1000 - 5977/6. Let p be (-224)/6*198/(-12). Find the common denominator of a and 2/4*p/64.
48
Let h = 2202 - 2199. Suppose 0 = 3*r - 2 - 1. Calculate the least common multiple of h and r.
3
Let u(p) = -p**2 - 11*p + 3. Suppose 0 = -2*f - 4*j - 4 - 0, -6 = f + 3*j. What is the smallest common multiple of f and u(-11)?
6
Let q(x) = 2 - 7*x**2 - 3*x + 4*x**2 - x**3 + x**2 + 0*x**2. Let v = 4 - -2. Calculate the smallest common multiple of v and q(-3).
60
Let j(a) = -a**3 - a**2 + 14. Let t be j(0). Let s = 16 - t. Find the common denominator of 123/20 and (-107)/88*s*-2.
220
Let f be 2 + 4/2 + 86. Suppose 90 = x + 4*x. What is the smallest common multiple of x and 1455/f + (-1)/6?
144
Let w(a) = -306*a**3 - a + 1. Let z be w(1). Find the common denominator of 8/(-20) + z/(-140) and 1*532/6*(-39)/156.
42
Let w(n) = -n**2 + 13*n + 25. Let a be w(11). Suppose 0*k = -3*b - k + a, k = b - 17. What is the smallest common multiple of b and 1?
16
Let d be 9/6*(1 - -1). Suppose -423 = -d*l + 237. Calculate the common denominator of (l/144)/(3/(-9)) and 145/6.
12
Suppose 0 = -2*l + 99 + 1. Let h = 72 - l. Suppose -380 = -x - 18*x. Calculate the least common multiple of x and h.
220
Let s = -35061/20 + 1752. What is the common denominator of 69/266 and s?
2660
Let o = 971/4 - 244. Let g = o + -5/12. Calculate the common denominator of (((-336)/(-5))/4)/(-2) and g.
15
Let k be (4/2 + 4/(-8))*2. Suppose 3*f - 32 = 2*y, 0 = f + k*f - 3*y - 44. Calculate the smallest common multiple of f and 2.
8
What is the smallest common multiple of 3 and 60/68 + -1 + (-1141)/(-17)?
201
Suppose 8*l + 65 = 113. Calculate the least common multiple of 315 and l.
630
Let j be (-62)/36 - 32/24. Let v = j - 37/9. Find the common denominator of -31/20 and v.
60
Let f = 12 + -10. Let b be 18/45 + (-46)/(-10). Suppose b*o - 20 = 50. What is the least common multiple of o and f?
14
Suppose -w - t + 20 = -0*w, -4*w = 2*t - 76. Suppose 11 = -5*x - 4. What is the lowest common multiple of 15 + (2 + x)/(-1) and w?
144
Let b = 1 + -3. Let j = -4857 + 72811/15. Find the common denominator of b/8 - 321/60 and j.
15
Suppose 0 = a - 12 + 7. Suppose 3*o - 180 = a*o. What is the common denominator of 2 + (-305)/o + -2 and -73/18?
18
Let l = -991179/50 - -19822. What is the common denominator of -21/2 and l?
50
Let u = 6107/15 - 407. What is the common denominator of u and 95/12?
60
Let w = -16 + 22. Let b = -24 + 24. Suppose 4 = a - b. What is the least common multiple of w and a?
12
Let n = -120127/6 + 19890. Let r = -132 - n. Let w = -292 + 886/3. What is the common denominator of r and w?
6
Suppose 5*c - 58 = -4*l, 0 = 6*l - 2*l - 3*c - 42. Calculate the least common multiple of (-9 - (-749)/49)*(12 - 5) and l.
132
Let c(r) = 3*r + 8. Let i(q) = -q - 4. Let b(g) = 2*c(g) + 5*i(g). Calculate the least common multiple of 12 and b(12).
24
Let l(u) = u**2 + 16*u - 26. Let n be l(-17). Calculate the least common multiple of 30 and (-1 + (-13)/3)/(6/n).
120
Let b(l) = 10*l - 66. Let d(h) = 15*h - 99. Let r(k) = 7*b(k) - 5*d(k). What is the smallest common multiple of r(6) and (-2)/(-3) + (-1)/(-3)?
3
Let z be ((-1839)/(-5))/(2/(-5)). Suppose -4*m - 1296 = 2256. Let k = m - z. What is the common denominator of 79/18 and k?
18
Suppose 0 = 4*x + 3*b - 4, 4*b + 1 - 5 = -4*x. Calculate the smallest common multiple of x and 2.
2
Let n(b) = -34*b**2 + 10*b - 10 - 3 + 33*b**2. What is the lowest common multiple of 2 and n(7)?
8
Let j = -9 + 23. Let m = j + -11. Suppose n = m*n - 20. Calculate the lowest common multiple of n and 8.
40
Suppose 94 = 4*s + 90. Suppose 2*x - 1 = 3. Calculate the smallest common multiple of s and x.
2
Let o = -1199/705 + 63/470. Find the common denominator of o and -87/50.
150
What is the common denominator of (-4)/(2 + -3) - (-2395)/(-420) and 86/21?
84
Suppose -141 - 99 = -5*f. Let k = 59 - f. What is the lowest common multiple of k and 20?
220
Find the common denominator of -3 - ((-43)/6 - 1) and (13 + -11 - (-344)/42)/4.
42
Let m = 36 - 14. Let b = 13 - m. Find the common denominator of 32/9 and 33/(-8) + b/36.
72
Suppose -21 + 9 = -4*s. What is the common denominator of -103/18 and (s/5)/((-16)/20*-4)?
144
What is the common denominator of 119/72 and (-706)/180 + -3 + 6/(-45)?
72
Let s = -54 - 128. Let q be 1/(-2) - (-3858)/(-20). Let i = s - q. Calculate the common denominator of i and -1/4.
20
What is the common denominator of (-147)/15*35/(-42) and 25/117?
234
Let a = -60/163 + 3719/13203. What is the common denominator of -19/33 and a?
891
Let m = 573975/122 + -328153584399/69749962. Let k = m + 617529010515/26299166. Let a = -23483 + k. What is the common denominator of -33/10 and a?
230
Let z = 32566 - 5536171/170. What is the common denominator of z and -107/136?
680
Let z(i) = -i**3 - 4*i**2 + 41*i + 64. What is the least common multiple of z(-11) and 276?
1380
Let s be 3 + -5 + 36/(-3). Let j = -6 + 38. Let y = s + j. Calculate the smallest common multiple of 14 and y.
126
Le