). Let g = i - 7/5. What is the common denominator of g and (-4)/(-6)*(-117)/60?
40
Let z = -2 - -4. Calculate the least common multiple of z and (-4)/10 + (-160)/(-25).
6
Let h be (-6)/14*(-2)/42. Let z = -425/784 - h. Calculate the common denominator of z and -101/20.
80
Let f = -13 + 27. Suppose -3*v + 4*j + f = -0*j, 0 = -j + 1. What is the lowest common multiple of v and 6?
6
Let j = -4 + 6. Suppose -3*w = j*w - 5. Find the common denominator of 91/6 and 38*(10/16 - w).
12
Let c(t) = t**2 - 5*t + 10. What is the lowest common multiple of c(6) and 8?
16
Suppose -3*j + 36 = -0*j. Calculate the smallest common multiple of 16 and j.
48
Let y(s) = -6*s - 3. What is the smallest common multiple of y(-2) and 7?
63
Let f(j) = -13*j + 1. Let z be f(-1). Let h = z + -10. What is the lowest common multiple of h and 8?
8
Let m = 0 - -6. Find the common denominator of -23/10 and (-1)/m - 58/(-6).
10
Let l be ((-50)/1)/((-16)/(-451)). Let v = 1400 + l. Find the common denominator of -57/7 and v.
56
Let v be (-50)/(-18) + (-4)/(-18). Let y be ((-2)/6)/(v/3054). Let n = y + 20093/60. Find the common denominator of -55/8 and n.
40
Suppose -9*w - 29 = -38. Calculate the least common multiple of w and 5.
5
Let a = -515/2 - -252. Find the common denominator of 49/8 and a.
8
Let o = 10172 + -142491/14. Let w = 95671/49230 - -3/2735. What is the common denominator of w and o?
126
Let o(x) = 6*x + 5. Let i be o(-5). Let k = -3 - i. Calculate the smallest common multiple of k and 8/(-3)*(0 - 3).
88
Let x be -1*(-3)/3*-2. Find the common denominator of -17/12 and ((-6)/(-90))/(x/303).
60
Let x be 34/8 + 1/(-4). Let h be (-57)/(-21) + x/14. Suppose 2 + 7 = h*m. What is the lowest common multiple of m and 3?
3
Let v(t) = -t**3 + 12*t**2 + 3*t + 1. Let h be v(12). Suppose 2*l + l + 69 = 0. Let d = h + l. What is the smallest common multiple of d and 12?
84
What is the least common multiple of 10 and (-2)/7 - (-284)/14?
20
Let i(f) = -f + 5. Let b be i(3). Calculate the common denominator of 0 + b*(-178)/(-32) and -38.
8
Let n be (-2)/(-3) - 56449/1278. Let t = 2/639 + n. Calculate the common denominator of (2/(-35))/(1/(-15)) and t.
14
Let f be 6/(-10) + 7738/10. Let i = f - 780. Let d = 201/8 - 171/8. What is the common denominator of d and i?
20
Suppose 3*g = -2*v + 19, -g + 59 = 4*v + 6. Let c(y) = y**2 - 12*y - 14. Calculate the least common multiple of c(v) and 22.
154
Let s = 6 + 33. Calculate the smallest common multiple of 9 and s.
117
Let s = -3926 + 70811/18. Let r = -7997/4 + 32037/16. Calculate the common denominator of r and s.
144
Suppose 4*o = -2*t - 8, -7 = 4*o - 4*t + 1. Let x(f) = -f**3 + f**2 - 3*f - 2. Let c be x(o). What is the smallest common multiple of 6 and (-5)/(30/c)*-6?
48
Let n = -15634841461197892037/6080186 + 43714502237405/17. Let b = n - 57/25547. Let v = b - -3279. Calculate the common denominator of v and 91/4.
28
Let v = -228169/16 - -14256. Let p = 8323 - 183067/22. What is the common denominator of v and p?
176
Let f = -14 - -28. Let h(q) = q**2 + 2*q - 2. Let p be h(2). Suppose -2*l = l - p. What is the smallest common multiple of l and f?
14
Let a(g) = -g**3 + 4*g**2 + g - 3. Let n be 4/6*(-9)/(-2). Suppose 5*u - n*u = 8. What is the smallest common multiple of a(u) and 11?
11
Suppose 0 = -d - d. Find the common denominator of -41/8 and 2 + d - 98/8.
8
Suppose -2*z - 80 = -5*d, z - 3*z = 4*d - 82. What is the least common multiple of d and 14 - 1*(2 + 0)?
36
Find the common denominator of 3129/2340 + 2/(-13) and -83/16.
240
Suppose 0 = -2*b + 4*b - 4. Suppose 5*n = -3*v + 2*v + 28, -b*v = 5*n - 46. Calculate the least common multiple of v and 18.
18
Calculate the common denominator of ((-213)/(-117))/(2/3) and -67/2.
26
Let s = -163 + 433. Calculate the smallest common multiple of s and 20.
540
Suppose 11 = 5*k + 1. Calculate the smallest common multiple of 24 and k.
24
What is the common denominator of ((-164)/(-54))/((-4)/(-6)) and -93/20?
180
Suppose -4*v - 3*t + 351 = v, 300 = 4*v - 4*t. What is the smallest common multiple of 16 and v?
144
Let h(b) = -333*b + 4. Let t be h(-4). Let v = -10745/8 + t. What is the common denominator of v and 4/9?
72
Suppose 2*i + 68 = 3*d - 2*i, 3*d + 2*i = 56. What is the least common multiple of d and 60?
60
Let v = -552301/18 + 30675. What is the common denominator of v and ((-1)/(-2))/(3/(-129))?
18
Let c be (40/38)/4 + -1. Let r = c + -295/38. Calculate the common denominator of r and 19/10.
10
Let p = 65 + -17. Suppose 3 = -3*b + 4*u - u, 13 = -b + 5*u. Suppose 2*r = -b*r + p. Find the common denominator of -4/7 and r.
7
Suppose -3*w + 2 = -2*w. Suppose w*k - 1074 = -k. Calculate the common denominator of (-2)/(-8) + k/(-40) and 85/16.
80
Let f = 26 - -4. What is the least common multiple of 33 and f?
330
Let m(a) = -a**3 + 10*a**2 + 5. Let y be m(10). Suppose y*n = -2*c - 5, 2*c = -n + 8 - 1. What is the least common multiple of 4 and c?
20
Suppose -2*w + 3*w = -4*o - 45, 30 = -2*o - 2*w. Calculate the smallest common multiple of 16 and (o + 5)*(-44)/10.
176
Let o = 17 + -24. Let g = o - 5. What is the common denominator of (-243)/g + (-2 - -1) and -4?
4
Let w = 42 - 34. Let s(i) = -i + 12. Calculate the smallest common multiple of s(8) and w.
8
Suppose 2*n + 4320 = 7*n. Let b = n + -4293/5. What is the common denominator of 50/7 and b?
35
Suppose 3*l - 5 = -v + 3, 0 = -v - 4*l + 8. Let f(k) = k**2 + 7*k + 2. What is the least common multiple of v and f(-7)?
8
Find the common denominator of 49/4 and -1 + -2 - 182/35.
20
Suppose -5*s + 24 = -s. What is the smallest common multiple of s and 10?
30
Find the common denominator of (7/(-2) + -2)*78/36 and -55/18.
36
Let d = 7 - -4. Calculate the smallest common multiple of 11 and d.
11
What is the smallest common multiple of 3 and (2/(-3))/(18/135)*-1?
15
Let p(v) = v**2 + 4*v - 3. Let s be p(-5). Suppose -2*n = 5*x - 37 - s, -2*x + 15 = n. What is the smallest common multiple of x and 5?
45
Suppose 2*w = 5*z - 9, -5*w - 5*z = -99 + 34. What is the smallest common multiple of 40 and w?
40
Let j = -23 + 41. Let w = -4 - -20. What is the smallest common multiple of j and w?
144
Let x = -160981/22728 + -3/7576. Find the common denominator of -1/22 and x.
132
Let o = 24 + -21. Calculate the smallest common multiple of 8 + (-4)/((-4)/o) and 11.
11
Let o be (2/3 + -1)*-42. Let v = o + -7. Suppose -4*n + 1 = -5*l + 55, 3 = -3*n. Calculate the lowest common multiple of v and l.
70
Suppose y = 87 + 41. Calculate the common denominator of (132/y)/(-3)*-10 and (-3 - -1) + (-127)/(-10).
80
Let k = -46111/1740 - -1/1740. Calculate the common denominator of 68/3 and k.
6
Let t(o) = 10*o - 2. Suppose 8*d = 5*d - 15. Calculate the common denominator of 1/d + (-419)/(-20) and t(5).
4
Suppose -4*b - 199 - 305 = 0. Calculate the lowest common multiple of 8/6*b/(-28) and 8.
24
Let v(s) = -s**2 + 0*s + 15 - 5*s + 2*s**2 - s. What is the smallest common multiple of v(7) and 20?
220
Suppose 0 = m + 4 + 11. Calculate the common denominator of -3 + (0 - m/(-18)) and -61/6.
6
Let a = -4270 + 25699/6. Calculate the common denominator of -55/598 and a.
1794
Let q = 3626633683826123/3362545202342 - 5/2797458571. Let u = q - 23/601. Let r = -1052 + u. Find the common denominator of r and -61/4.
4
Let c = 79 + -77. Let h = 87 + -47. What is the smallest common multiple of c and h?
40
Let z = 4491/8 - 549. Calculate the common denominator of z and -19/10.
40
Let p = 2468/7 + -351. Suppose 0 = 4*m + 3828 - 1208. Calculate the common denominator of 2/5*m/(-12) and p.
42
Suppose -2*l = -5*l + 7044. Let q = l + -23559/10. What is the common denominator of q and -39/10?
10
Suppose -1 = 4*m - 5*u - 12, -5*u + 13 = 2*m. What is the lowest common multiple of m and 18?
36
Let b be (-4)/(((-20)/22)/(-5)). Let q = -17 - b. What is the smallest common multiple of q and 3?
15
Let m(k) = k**2 + 7*k - 8. Let x be m(-7). Let t be (-178)/(-8) - (-2)/x. Suppose 0 = 5*s - 8 - t. Calculate the smallest common multiple of s and 7.
42
What is the smallest common multiple of (3 - -3)*(0 + 1) and 32?
96
Suppose -2*b + 4*b = 2, -5*s = -3*b - 97. What is the least common multiple of s and 18?
180
Let q = 23 + -10. Suppose q = 2*m + 1. Suppose -4*o + 9 = 5. Calculate the lowest common multiple