. Let v be l/(-2) - (-4029)/(-42). Let p = 2029/14 + v. What is the common denominator of -63/10 and p?
10
Suppose 0 = 4*j - 3*j - 2. Let w = -3 + j. What is the common denominator of 102/(-8) - -2 - w and 1/4?
4
Let z(m) = -m**2 - m + 20. What is the lowest common multiple of ((-32)/(-8) + -13)*(-22)/9 and z(0)?
220
Let c(i) = -i - 3. Let n be c(-8). Suppose -n*m - 4*o = -75 - 1, -3*m + 40 = o. What is the least common multiple of m and 10?
60
Let y = 719 + -576. What is the smallest common multiple of y and 26?
286
Let w(r) = r + 8. Let q be w(-5). Suppose -4*l + 5*m + 35 = -28, q*m = 5*l - 69. Calculate the least common multiple of l and 26.
156
Suppose 5*n + 32 = -4*l, n + 5*l = 2*n - 11. Let m = -1 + 3. Calculate the smallest common multiple of 6 and n/m - -15 - 3.
30
Let g = 156923/16 - 9814. Calculate the common denominator of 61/16 and g.
16
Suppose 0 = -2*k - 5*f + 28, -1 = -4*k + 5*f - 5. Suppose k - 5 = -r. Let h(j) = 2*j + 2. Calculate the least common multiple of 4 and h(r).
4
Suppose 0 = 386*r - 357*r - 10208. Calculate the smallest common multiple of r and 96.
1056
Suppose -26*l = -28*l + 6. Suppose 47 = 4*b - 0*v + l*v, 3*v = -9. Calculate the lowest common multiple of 12 and b.
84
Let o = -868 - -888. Calculate the lowest common multiple of 868 and o.
4340
Suppose 0 = -2*t - t - 9. What is the common denominator of (18/8 + 0)*(-189)/(-81) and ((-11)/12)/(t/(-14))?
36
Let m = 1094 - 851. Calculate the least common multiple of 297 and m.
2673
Suppose d + 4*u - 108 = -3*d, -2*u = 0. What is the smallest common multiple of 18 and d?
54
Let z = 69170 - 4150063/60. What is the common denominator of 91/12 and z?
60
Let n be (-142)/12 - (-4)/(-24). Let f(r) = -r**3 - 13*r**2 - 13*r + 4. Calculate the least common multiple of 3 and f(n).
48
Let r be -6*(-2*14/8 - -3). Suppose 5*z - 10 = 0, -4*c + 22 = -2*c - r*z. What is the least common multiple of 12 and c?
84
Let v = 46755421712289923/208387735951248 + -100739108/448991. Let t = v - 1/234288. Let f = -263485/35658 - t. What is the common denominator of -31/14 and f?
126
Let p = -22594/5475 + -12/1825. What is the common denominator of p and 19/5?
15
Calculate the least common multiple of 20/5*(-3)/(-6) and 29.
58
Suppose 23 = -2*a - 57. Let j = 0 + a. What is the lowest common multiple of 18 and (11/4)/((-5)/j)?
198
Suppose 3*r = w + 5*r + 8, -4*w = -3*r - 23. What is the smallest common multiple of w and 22?
22
Let b(z) = -247*z**2 - 4*z - 13. Let r be b(-4). Let c be (-2)/(-3) - (-190130)/(-48). Let h = r - c. What is the common denominator of 48/11 and h?
88
Let f(t) = -31*t - 3. Calculate the least common multiple of (3 + (7 - 2))*1 and f(-1).
56
Let p(h) = h**2 - 4*h - 43. Let j be p(0). Let k = j + 52. Calculate the least common multiple of k and 8.
72
Let o = 8839/2327 + -48/13. What is the common denominator of 31/5 and o?
895
Let i(g) = g**2 + 14*g + 34. Calculate the smallest common multiple of 1 and i(-12).
10
Let h be (-25)/(-15) + 7196/(-3). Let c = 14417/6 + h. Find the common denominator of (139/(-22))/(-1) - 2 and c.
66
Let r = 75/13 + -883/117. Find the common denominator of 27/2 and r.
18
Let y = 3 - 1. Calculate the least common multiple of y and (4/6)/((1 + -6)/(-30)).
4
Suppose -u + 0*w - 22 = -4*w, w + 215 = -5*u. Let x = -3/16 + 11/16. What is the common denominator of ((-36)/84)/(4/u) and x?
2
Let g = 72 - 69. What is the lowest common multiple of g and 17?
51
What is the smallest common multiple of -17 - (-854)/49 - 11/(-7) and 2?
2
Let v = -108799607143/2290336170 + -7/4321389. Let b be ((-5)/795)/(5/3). Let x = v - b. What is the common denominator of x and -43/6?
6
Let x(v) = v**3 - 3*v**2 - v - 2. Let d be x(5). Calculate the common denominator of (-2860)/66*6/15 and (1/(-4))/((-1)/d).
12
Suppose 6*l = 79 + 173. Calculate the least common multiple of 20 and l.
420
Find the common denominator of 33/5 and 189/306 + (-4)/(-6).
510
Let y(f) = -6*f**2 - 38*f - 4. Calculate the lowest common multiple of 6 and y(-6).
24
Let z = -4 - -44. Suppose 0 = -5*w + w + z. What is the least common multiple of w and 22?
110
Let z be 3*(11/3 + -2). Suppose g - 4*o - 17 = 0, -z*g - 5*o + 38 = -97. Calculate the common denominator of -67/22 and g/6 + 24/(-6).
66
Find the common denominator of -29/48 and (-1 + -2)/132 + 1.
528
What is the least common multiple of (24/(-15))/(34/(-255)) and 220?
660
Let h = -23 + 15. Let f = h + 12. Suppose -2*l - f = -4*l + 2*r, -5*r = -l - 14. What is the smallest common multiple of 7 and l?
42
Let z = -221 - -243. What is the least common multiple of z and 66?
66
What is the common denominator of 249/20*54/(-1539) and 42/25?
950
Let d = -45589/8 + 5708. Suppose -4*m = 9 + 63. Find the common denominator of d and m/27 + (-248)/(-30).
40
Let j be 1/(-2) - (-2875)/10. Let k be (-4 - j)*(-1)/3. Suppose 0 = -4*t + k - 33. What is the lowest common multiple of t and 14?
112
Suppose -4*a - f = 0, 2*a + 4*f + 14 = -0*a. Let d = 14 - -45. Suppose 3*l = a + d. What is the lowest common multiple of 10 and l?
20
Suppose -d = -2*t + 3*t - 15, 9 = d - t. Let l(c) = -9*c - 2. Let f be l(d). Calculate the common denominator of 71/18 and 271/f - 2/5.
198
Let g(a) = -a**2 - 5*a - 4. Let p be g(-4). Suppose -5*n - 52575 = -p*n. Let j = n + 588883/56. Calculate the common denominator of j and -103/18.
504
Suppose 154 = 102*p - 91*p. Calculate the smallest common multiple of p and 35.
70
Let t be 4/14 - (-247)/91. Suppose -7*y - t = -59. What is the lowest common multiple of 3 and y?
24
Let x(c) = -c**2 - 13*c - 18. Suppose 7*a - 3*a + 44 = 0. What is the smallest common multiple of 12 and x(a)?
12
Let w = -3 + 17. Calculate the least common multiple of w and 234.
1638
Suppose 4*t = 14 + 98. Suppose 2*n = y - 25, 2*n = 3*y - t - 51. What is the smallest common multiple of y and 15?
135
Calculate the least common multiple of 19 and (-9)/5*(-12 - (-16 - -9)).
171
Suppose 5*t + 2*c - 50 = 0, 2*c + 50 = 5*t - c. Let f = -12 + t. Calculate the common denominator of ((-142)/(-9))/(f/1) and 51/7.
63
Let r = -121 + 135. What is the lowest common multiple of 12 and r?
84
Suppose -3*z - 19 = -67. Calculate the least common multiple of z and 5.
80
Let t = -46764246223/521861879 + -1/6777427. Let j = t - -661/7. What is the common denominator of -1 - 2/(8/(-59)) and j?
44
Suppose 4 = 3*h - 20. Let o(j) = -10*j**2 + 2*j + 1. Let w be o(-2). What is the common denominator of (w/h)/(5/(-10)) and -40?
4
Suppose -4*q + 22162 = -2*z, -2*q + 1394 = z + 12463. Let a = z + 232621/21. What is the common denominator of a and 15/4?
84
Calculate the smallest common multiple of (-31703)/(-245) - (-3)/5 and 25.
650
What is the common denominator of 3/(-7) + 1234/(-896)*4 and -55/6?
48
Let w = 226009/20 - 11305. What is the common denominator of w and 29/25?
100
Let y = -41/626 - 21529/48828. What is the common denominator of -103/104 and y?
312
Let c(s) = 4*s - 4*s**3 + 7*s**2 + 6*s - 12 + s**3 + 2*s**3. What is the least common multiple of 2 and c(8)?
4
Let c = -23 + 23. Let a = c - 9. What is the common denominator of a/15 + (-723)/270 and 103/12?
36
Let i(y) = -2*y**3 + 41*y**2 - 13*y - 23. Calculate the least common multiple of 104 and i(20).
936
Let b = -383/2 + 182. Find the common denominator of -52/7 and b.
14
Calculate the common denominator of -121/12 and 11/(-34)*980/(-294).
204
Let w(v) = -v**3 + 16*v**2 - 14*v - 12. Let l = -8 - -23. Let s be w(l). What is the smallest common multiple of 3*(10 - (s - -1)) and 8?
72
Let w = 70489/40 + -1762. What is the common denominator of -113/20 and w?
40
Let i = 23 + -5. Let f = 14 - i. What is the lowest common multiple of 2 and 27/2 + 6/f?
12
What is the common denominator of -121/6 and 2/((-580)/1685) + (3 - -2)?
174
Let c(x) = 3*x**3 + 70*x**2 + 23*x + 24. What is the lowest common multiple of c(-23) and 10?
120
Let h(i) = i**3 + 12*i**2 + 12*i - 9. Let c be h(-11). Let k = c + 22. What is the lowest common multiple of k and 8?
8
Let v(q) = -5*q. Let r be v(-1). Suppose r*n + 2 = 57. Calculate the smallest common multiple of n and 4.
44
Let a be 9/6 + 1/2. What is the lowest common multiple of 5 and -1 - (a*-5 - -1)?
40
Let k = -1989592095923763/4 + 248749746594006177409/500102. Let h = k - 34/750153. Let a = h + -10184. Calcula