e 2 + -102106 + 1/(2/4). Let r = 6126263/60 + z. What is the common denominator of r and -31/7?
420
Let d = 590 - 570. What is the least common multiple of 374 and d?
3740
Let r = 95213/6 + -1175629/66. Let g = 1945 + r. Calculate the common denominator of 71/20 and g.
220
Suppose -16 = -2*b + 4*w, -18*w = 4*b - 19*w - 46. What is the lowest common multiple of b and (-264)/(-15) - (-4)/10?
36
Suppose 0 = u - 2*h - 44, 4*u - 139 = 4*h + 41. What is the lowest common multiple of 18 and u?
414
Suppose 5*a - 34 = 3*a. Let h(u) = -u**3 + 16*u**2 + 15*u + 37. Calculate the least common multiple of 18 and h(a).
18
Suppose -18 = -l + 2*p, -105 = 3*l - 8*l + 5*p. Calculate the lowest common multiple of 51 and l.
408
Let w be 4/(-22) + (-1080)/110. Suppose -5*q - b = -80 - 8, -3*q + 46 = 4*b. Calculate the lowest common multiple of q and (-6)/w - (-57)/5.
36
Suppose -i - 208 = -6. Find the common denominator of ((-10)/(-25))/(8/(-142)) and i/60 + (-1)/(-5).
30
Let m(q) be the first derivative of q**4/4 + q**3 - 3*q**2/2 + q + 7. Calculate the lowest common multiple of 2 and m(-3).
10
Suppose -2*y = 2*l - 68, -96 = -4*y - 2*l + 32. Suppose y = 2*q - 36. Calculate the smallest common multiple of 18 and q.
198
Suppose -3*l - 2 = -2*z, 0 = 34*l - 29*l + 5*z - 30. What is the smallest common multiple of l and 4?
4
Suppose -5*d + 0*d - 4*p + 224 = 0, -d + 2*p + 56 = 0. What is the lowest common multiple of 112 and d?
336
Calculate the smallest common multiple of 0 + 4*7 + -20 + 22 and 75.
150
Suppose -10*v = -778 - 82. Find the common denominator of (-16)/4 - v/4 and 77/20.
20
Let r = 34 + -34. Suppose r = -5*a + 2*t + 25, 3*a - 5*t - 24 = -2*t. Suppose -50 - 4 = -a*b. What is the least common multiple of 2 and b?
18
Calculate the common denominator of 81/172 and 8/(-14) - 2915/840.
1032
Find the common denominator of (0 + (-8)/144)*77 and 151/66.
198
Let v be 12/(-1*4) + -6. Let l(i) = i**3 + 8*i**2 - 10*i - 10. Let o be l(v). What is the least common multiple of (4 + -3)*(2 + o) and 9?
9
Let r = -592/7 + 9244/105. Calculate the common denominator of r and -51/70.
210
Let g be 15/((-2)/(-6120)*5). Let j = g - 146947/16. Calculate the common denominator of j and -95/26.
208
Suppose 240 = d + 4*d. Let q = 226 + -223. Calculate the lowest common multiple of q and d.
48
Let r = -128 - -136. Suppose 5*v - 3*f - 283 = 0, -2*v + 59 + 51 = 2*f. What is the smallest common multiple of r and v?
56
Let o = 12 + -8. Let c(r) = -9*r**2 + 8*r**2 + 3 + 0 + 5*r. What is the least common multiple of c(o) and 8?
56
Let g be 22/5 - (-12)/20. Suppose 5*h - g*w - 1178 = -2*w, w = 2*h - 472. What is the common denominator of (9 - 6) + h/(-44) and 49/20?
220
What is the common denominator of -91/22 and 397/68 + 3/6 + -5?
748
Suppose 18 + 9 = 3*t. Let l be (-4 + 5)*(2 - 21). Let m = 30 + l. Calculate the smallest common multiple of t and m.
99
Suppose k - 5*w - 95 = 469, -1692 = -3*k + w. What is the lowest common multiple of k and 12?
564
Calculate the lowest common multiple of 14 and 8 - (-27)/(81/120).
336
Calculate the least common multiple of 0 + (-576)/(2 + -8) and 2.
96
Let l = -25 - -43. Suppose 5*a - 7 = 3. Suppose -80 = -2*z - a*z. What is the lowest common multiple of z and l?
180
Let x = 1835443/42 + -43704. Calculate the common denominator of -29/324 and x.
2268
Suppose -i - 2*i + 4*j = -49, 4*j - 39 = -5*i. Let g(b) = -4*b + 13. Let m be g(4). Let y(k) = -3*k + 1. What is the lowest common multiple of i and y(m)?
110
Let y be 5/(-20) - (-34)/8. Suppose -y*g = 2 - 10. Suppose 3*v + 4*z = 6, 0*v + 3*z = v - g. Calculate the least common multiple of v and 6.
6
Suppose 32 = 4*o - 240. Calculate the least common multiple of 4 and o.
68
Suppose -5*l = 4*s + 52, 0*l + 3*l + 9 = 5*s. Let b = -12 - l. Calculate the common denominator of 11 and b*((-20)/(-12))/1.
3
Suppose f + 2541 = -3*d, 5*d + 4225 = -0*d - 5*f. Let r be (-6 - -3) + d/(-282). Let t = r + 131/1410. What is the common denominator of t and -59/2?
10
Let r = 152 - 106. Calculate the least common multiple of 7/((-364)/(-512)) - (-2)/13 and r.
230
Let r = -1599 - -17623/11. Calculate the common denominator of 12/(-4)*4/10 and r.
55
Suppose 0 = 65*y - 68*y + 18. Let j = -3 - -6. Suppose 4*a - 12 = -l + 43, 3*l + j = 0. Calculate the lowest common multiple of a and y.
42
Let c(w) = 18*w + 204. Calculate the least common multiple of 10 and c(-10).
120
Let w(r) = 2*r. Let j(n) = 3*n**2 - 3*n - 2. Let s be j(-2). Let y = s - 14. Calculate the least common multiple of w(y) and 12.
12
Let u = -201229667/15978 - -75565/6. Let r = -205291/53260 - u. Calculate the common denominator of 109/14 and r.
140
Calculate the common denominator of 67/238 and (-50)/(-40)*126/(-25).
1190
Suppose d = -2*b + 32 + 10, 2*d - 4*b - 44 = 0. Suppose -2*r = 3*t - 0*t + 4255, -4*t = -20. Let z = 17165/8 + r. What is the common denominator of z and d?
8
Suppose 4*c + 34 = -c - 4*r, 0 = 2*c + 2*r + 12. What is the common denominator of 4/c - (3 + 287/(-140)) and (38/24)/((-2)/(-4))?
60
Let v = -234775 + 13382587/57. Let m = v + -7/114. Let g = -4/3 - m. Calculate the common denominator of 19/12 and g.
12
Suppose -4*s = 2*v - 84 - 40, 5*s - 122 = -2*v. What is the lowest common multiple of 90 and v?
990
Let q = -229 - -259. Calculate the smallest common multiple of q and 30.
30
Let c(a) = a**3 - 5*a**2 + a - 5. Let s be c(5). Suppose -2*t + 4*t + 158 = s. Find the common denominator of 95/6 and (57/60 + -1)*t.
60
Suppose -2*k + 24 = 4*z - 4*k, -k + 30 = 5*z. Calculate the lowest common multiple of z and 24.
24
Let f(y) = 6*y + 38. What is the smallest common multiple of 16 and f(-4)?
112
Suppose -5*a + 205 = 2*k + 51, -a + 24 = -3*k. Calculate the least common multiple of a and 183.
1830
Let i = -17 - -17. Suppose i*t + 10 = t. Suppose -2*z = -z - 7. Calculate the lowest common multiple of z and t.
70
Suppose 13*v - 104 = -0*v. What is the smallest common multiple of v and 22?
88
Suppose -6*c = -9*c + 9. Suppose c*y - 789 = 4*r - 3*r, -3*r - 2375 = -y. Let q = r - -1495/2. Calculate the common denominator of -33/2 and q.
2
Let m be (-279)/21 - 2/(-7). Find the common denominator of 158/(-132) + m/(-39) and 89/6.
66
Let u = 2820970 - 1636163351/580. Let a = -47782/29 - -1648. Let g = u + a. Find the common denominator of -91/12 and g.
60
Suppose k + 3*k - 12 = 0. Suppose -k*p = -19 - 29. Calculate the smallest common multiple of 16 and p.
16
Suppose -6*r + 11*r + 185 = -5*s, -4*r = s + 40. Calculate the common denominator of -77/15 and ((-1)/(-15))/(s/570).
90
Let c(h) = h**3 - h**2 + 3. Let q = -57 - -58. Calculate the least common multiple of c(0) and 3 + -3 + 2 + q - -2.
15
Let x = 744 + -738. Calculate the lowest common multiple of 380 and x.
1140
Let g(l) = 3*l - 65. What is the least common multiple of 55 and g(30)?
275
Let m = -6853 - -966202/141. Calculate the common denominator of -8/11 and m.
1551
Suppose -30*x + 24*x = -990. Calculate the least common multiple of 105 and x.
1155
Let g = 46 + -406. Find the common denominator of -9/22 and 23/g*38 - 26/117.
220
Suppose 4*p = 2*y + 18, 4*p = -p - 5*y + 45. Calculate the least common multiple of -3*248/(-180) - 4/30 and (-16)/p*-6*1.
16
Let b = -3025/4 - -33119/44. What is the common denominator of -32/9 and b?
99
Suppose 15*b - 9*b = 288. Let l = b + -28. Let f = -3 + 13. Calculate the lowest common multiple of l and f.
20
Let c = 7592865/166 - 45740. What is the common denominator of c and -28/9?
1494
Suppose 118*x + 480 = 128*x. What is the smallest common multiple of x and 2?
48
Let s be 66/(-4)*-2*(-6)/9. Calculate the common denominator of -28/27 and (-10)/15 + (-52)/s.
297
Let s = 20039/16 - 1253. Find the common denominator of s and -26 + 22 + (-395)/(-88).
176
Let z(i) = i**2 - 8*i - 7. Let r be z(9). Suppose r*o + 285 = -o. What is the common denominator of -11/24 and o/4*6/(-15)?
24
Let h(o) = o + 3. Let r be h(-3). Suppose -2*p + p - 41 = r. What is the common denominator of (3 - 10) + 6 - 261/18 and p?
2
Let k = 232 + -214. What is the smallest common multiple of 24 and k?
72
Suppose -7*a + 5 = -2*a, a + 31 = g. Calculate the lowest common multiple of 14 and g.
224
Let y = -5860 - -164133/28. Let m = -13499/4 + 3352. Calculate the common denominator of y and m.
28
Let t = 1