8 - (-1 + 1). Let c = 1613 - i. Let f = 705 + -4896/7. Find the common denominator of c and f.
28
Let a(l) = -3*l**2 - 45*l - 31. Calculate the least common multiple of 12 and a(-14).
132
Let a(r) = r**2 + 13*r - 44. Let n = -1 - -5. Calculate the smallest common multiple of n and a(3).
4
Let h be (-1 - 1)/(39860/(-211238)). Let b be (1/1)/((-39860)/40). Let i = h - b. Calculate the common denominator of i and -5/7.
35
Suppose 7 = -t - 3*x, -4*x - 11 = t - 5*x. Find the common denominator of 68/9 and (-125)/3*4/t.
9
Let s = 96107/27 - 3560. Calculate the common denominator of s and 2/33.
297
Let y = 1820 - 1630. What is the least common multiple of y and 133?
1330
Suppose -4*p - 4*i = i + 4, 4*i = 4*p + 4. Calculate the common denominator of 0 + 465/(-36) - p and -121/20.
60
Let u = -4282/3 + 102677/72. What is the common denominator of u and -151/12?
72
Let i(y) = -14*y**2 + 16*y + 11. Let j be i(-13). Let z = j + 10349/4. What is the common denominator of z and -85/22?
44
Let l = 305 - 206. Calculate the least common multiple of l and 63.
693
Let w = 507 + -503. Suppose 2*m - 5 = 7. Calculate the least common multiple of w and m.
12
Suppose -2*c + 7*c = 10. Let a = -189 - -207. What is the least common multiple of c and a?
18
Let p be (-14768)/6 + 6/(-9). Let j be 3/3 - p/4. Let f = j - 590. What is the common denominator of f and 103/22?
22
Suppose 0*f - 120 = -5*f. What is the lowest common multiple of f and 7?
168
Let l(m) = m**3 + m**2 - m. Let w be l(0). Calculate the common denominator of 18/(-14) + -3 + w and 4/(-26) + (-2196)/260.
35
Suppose -5*z - 87 = -s, -2*z - 3*z = 2*s + 96. Find the common denominator of 73/22 and 3 - 0 - (1 - (-237)/z).
66
Let m be 1 - (-3)/(-6)*-2. Suppose 5*z - 20 = 0, 3*v - 2*v = m*z - 52. What is the common denominator of 53/v - (-5 - -5) and 21/20?
220
Suppose 2*z = w + w + 80, -2*w + 105 = 3*z. Suppose -z = 4*q + 83. Let i = q + 33. What is the least common multiple of i and 8?
24
Let h = 32216402/65 + -495627. Let z = 24/13 + h. Let j = -64/35 - 106/35. Find the common denominator of z and j.
35
Let w = -9421 - -2534246/269. Let m = w - 7257/538. Calculate the common denominator of m and 3/2.
2
Let w(f) = 2 - 7 + 3*f + 2. Calculate the lowest common multiple of w(7) and 40.
360
Let v = -939259 + 2723819/3. Let i = 31652 + v. Let x = -14179/42 + i. Calculate the common denominator of -43/10 and x.
70
Suppose -7*b = -86 + 9. What is the least common multiple of 4/(-22) - ((-60)/(-33) - 3) and b?
11
Suppose -1 - 4 = -5*y. Let q(i) = 18*i. Suppose 2*f + 4*c - 74 = -c, 4*f + c - 166 = 0. What is the least common multiple of f and q(y)?
126
Let a = 32617/55 + -593. Calculate the common denominator of a and -16/55.
55
What is the common denominator of ((-26)/(-1170))/(4/159) and -52/21?
420
Let z = 1109/56 - 115/7. What is the common denominator of -1 - ((-122)/(-8) - 1) and z?
8
Let c(l) = -3*l + 5. Let b be c(5). Let f be ((-8)/(-18))/(b/(-45)). Suppose -5*m + 3*m + 5*q = -8, 0 = f*q. What is the least common multiple of 10 and m?
20
Let z = -40151/840710 + -3/5798. Calculate the common denominator of z and 46/261.
1305
Suppose n + 4 = 0, l - 2*l - 3*n = 30. Calculate the common denominator of (-3)/1 + 10/l and ((-33)/54)/(2/6).
18
Let w(l) = -10*l - 13. Let s be w(9). Let o = -62 - s. Suppose o = 4*c + x, -2*c + 3*x + 8 = x. Calculate the lowest common multiple of 9 and c.
9
Let c = 570 - 834. Suppose 588 = -3*o + 4*q - 584, 1961 = -5*o - q. Calculate the common denominator of -51/8 and 2/6 + o/c.
88
Let v = 2693/60 + -199/5. Let q = 2/2323 + -183537/23230. Calculate the common denominator of v and q.
60
Let d = -1226831/310580 + 2/15529. Find the common denominator of d and 3/2*122/60.
20
Find the common denominator of (116/672)/(6/7) and -29/7.
1008
Find the common denominator of 59/156 and 2410/(-612) - (-20)/(-170)*1.
468
Let t(n) = -n**2 - 15*n - 20. Let p be t(-14). What is the common denominator of -3*p/189*(-2 + -37) and -37/20?
140
Let d be 4 + 7/(-2) - (-9)/6. Calculate the least common multiple of 12 and 20/8 - d/(-4).
12
Let b = -48 + 42. What is the least common multiple of 7 and b/(-10) - 63/(-45)?
14
Let g = 25 + -11. Suppose -4*l = -3*j - 48, l - 16 + 4 = -2*j. Suppose 9*x + 6 = l*x. Calculate the smallest common multiple of x and g.
14
Let w = 15 - 14. Suppose 0 = 3*h - 1 - 8. Suppose -15 = 3*k - 3, 4*t - h*k - 24 = 0. What is the lowest common multiple of t and w?
3
Let k(f) be the third derivative of f**4/12 - 7*f**3/3 - 4*f**2. Let o(q) = 1. Let l(x) = k(x) + 4*o(x). Calculate the least common multiple of l(7) and 10.
20
Suppose -37 = 5*x + 2*y + 49, -3*x - 63 = 5*y. Let v = x + 34. What is the lowest common multiple of 138 and v?
414
Suppose -3*i = -5*i - 15864. Let r = 142739/18 + i. Let n = 185251/12 + -15450. Find the common denominator of r and n.
36
Let x(f) = -2*f - 5. Let i be x(-4). Let q be (6 - i - -1) + 2. Calculate the common denominator of -73/2 and (q/20)/((-30)/(-125)).
4
Suppose -2*h + 6*k - 10 = 2*k, -k = 3*h - 13. Find the common denominator of 151/6 and (-308)/6*h/(-12).
6
Let w = 52215744/1793 + -29122. Let o = w + -23281/25102. Let c = -18/1063 + 41853/23386. Find the common denominator of o and c.
154
Let k = 22 + -14. Suppose 0 = 4*h + 2*g - 68 - k, -2*h + 3*g + 46 = 0. What is the least common multiple of 44 and h?
220
Let u(a) = -13*a**2 - 39*a - 4*a**3 + 14*a + 3*a**3 - 27. Calculate the lowest common multiple of 2 and u(-11).
6
Let q(m) = m - 33. Let u be q(0). Calculate the common denominator of ((-44)/(-5) - 2) + -2 and -1*(-51)/u - -3.
55
Suppose -2*q + 30 + 10 = 0. Let z = -786 - -794. What is the least common multiple of z and q?
40
Suppose -v = -453 - 257. What is the smallest common multiple of 6 and v?
2130
Let q be ((-477398)/48)/(10104/16). Let c = q + -2/3789. Let z = 1802/339 - -2/113. Calculate the common denominator of z and c.
12
Let m = -1162 + 1190. What is the smallest common multiple of 9 and m?
252
Let y = 3755 - 3743. Suppose s = -s + 8. Calculate the least common multiple of y and s.
12
Let s = -35 + 20. Let j = -45 + 63. Calculate the lowest common multiple of j and 18/s*(-40)/6.
72
Find the common denominator of -71/12 and (-14)/(-112) + 0 + (-113)/24.
12
Let m = -4260/7 + 610. Let p be (-4 - 1) + (-362536)/(-33120). Let i = 7/4140 - p. What is the common denominator of m and i?
126
Suppose 0 = 2*h - 4*h - 4*c - 6932, -h + c = 3454. Let g = 51896/15 + h. Find the common denominator of g and 53/27.
135
Calculate the least common multiple of (-71)/(-8) - 20/(-160) and 54.
54
Let c(k) = k**2 + 16*k + 17. Let g be c(8). Let j = g - 1472/7. Calculate the common denominator of j and -1 + 0 + 68/(-6).
21
Calculate the common denominator of 15/(-3) - 3/(63/(-167)) and -2.
21
Let p = 519 + -507. Suppose 50 = -5*i - 4*r, -63 - 3 = 4*i - 2*r. What is the smallest common multiple of (p/7)/((-4)/i) and 1?
6
Let m = 200 - 116. What is the smallest common multiple of 8 and m?
168
Let p = 65299601/49099812 + 19/49297. Let q = p - -21/83. Let v = 124 + -511/4. Find the common denominator of v and q.
12
Let t be 7/21*(65 + 1). Let z be (-1)/(-4) + (-9)/4. What is the smallest common multiple of 20 and (-1)/(z - (-43)/t)?
220
Suppose -5*m - j = -95 + 306, -4*j = -5*m - 206. Let d = m - -46. Calculate the lowest common multiple of d and 1.
4
Let v(w) = 3*w**2 - 3*w + 4. Let b be v(1). What is the common denominator of b/22 + (-7824)/6732 and 48/5?
255
Let j = -11838 + 18677. Let p = j + -136881/20. What is the common denominator of ((-22)/8)/(-2 + -2) and p?
80
Let v = 18 - 54. Let g = 178/11 - 1805/66. What is the common denominator of 267/v - 20/15 and g?
12
Let v(p) = -p**2 + 6*p. Let r(w) = -w**3 + 11*w**2 - 9*w - 4. Let u be r(10). Suppose -u = c - 3*c. Calculate the lowest common multiple of 7 and v(c).
63
Suppose 0 = 2*s - 4*i - 292, -4*s + 2*i - 29 = -613. Let k = s - 995/7. Find the common denominator of k and ((-2)/(-9))/((-100)/(-555)).
210
Let u = -6214037/8 - -779332. Suppose 2*m = -m + 7698. Let k = m - u. What is the common denominator of 57/14 and k?
56
Let s(h) = -2*h**2 + 52. Calculate the lowest common multiple of s(0) and 143.
572
Let i(s) = s**3 + 0 - 43 - s**2 - 4 - 29. Let r be i(0). What is the common denominator of -42 and (r 