i = l + -5. Calculate the least common multiple of i and 8.
8
Calculate the common denominator of 59/90 - (-4)/10 and 2/(-9) - (-2134)/(-360).
180
Let i = 5/51 - 200/17. Find the common denominator of -62/9 and i.
9
Let j(d) = 3*d + 1. What is the smallest common multiple of (-7)/4*(-10 + 6) and j(3)?
70
Let a = 36 + -31. Suppose a*k - 2*j = -100, -2*j + 3*j = 5*k + 95. Calculate the least common multiple of 11 and (-114)/k - (-2)/(-6).
66
Let v = 12405099/260 + -47712. Find the common denominator of v and -45/22.
2860
Let x be 0/(-1 + 4) - 11. Let f be x/5 + (-2)/(-10). Calculate the lowest common multiple of 8 and f/(-7) - (-378)/49.
8
Suppose 5*x - u = 30, -3*u - 7 = 2*x - 2. What is the lowest common multiple of 8 and x?
40
Let h = 668 - 605. Calculate the lowest common multiple of h and 63.
63
Suppose 4*f = 2*v - 12640 + 35198, 5*v + 56423 = 3*f. Let r = 67303/6 + v. Let o = r + 1147/18. Find the common denominator of o and 67/4.
36
Let n(q) = q**3 + 2*q**2 - 3*q + 1. Let w be (-48)/4*2/(-2). Let k = w + -3. What is the smallest common multiple of k and n(-3)?
9
Let v = 261/20 + -14843/1260. Find the common denominator of v and 47/42.
126
Let m = -2480 - -1523. Let p = 136331/40 - 3408. Calculate the common denominator of m/120 - 3/(-5) and p.
40
Let k be (56/(-10))/((-10)/75). Let h be (244574/k)/((-2)/3). Let q = -8728 - h. What is the common denominator of -99/10 and q?
70
Suppose -93 = -n + 207. Calculate the common denominator of -27/5 and (72/n)/(4/(-45)).
10
Let k(c) = c**2 + 3*c - 4. Let l be k(-5). What is the common denominator of (-6)/(-4)*(-96)/(-162) and l*(2 - 14/16)?
36
Let y(w) = 2*w + 7. Let f be y(6). Let k(z) = z**3 - 20*z**2 + 19*z - 1. Let c be k(f). What is the common denominator of 119/20 and (-388)/(-32) + c/2?
40
Let t = 1324 + -13217/10. Find the common denominator of (-3)/((-408)/(-22))*14 and t.
170
Let m be ((-56530)/25)/(8/(-5)). Let s = m + -2783/2. Calculate the common denominator of -1 + -74*1/(-10) and s.
20
Let p be (4/4 - 2) + -228296. Let v be (-4)/26 + p/(-91962). Let w = v + 168/131. Find the common denominator of w and 1/8.
72
Let h(g) = g**2 - 7*g - 13. Let s be h(9). Suppose -s*n - 13 = 7. Find the common denominator of -36/5 and (-4552)/520 - n/26.
5
Suppose -2*x = -j + 60, -x + 133 = 2*j + 33. Suppose j = 3*h + 40. Calculate the least common multiple of h and 4.
4
Let d = 514 + -503. Let w(k) = k**3 - k**2 + 5. Let s = 0 + 0. What is the least common multiple of w(s) and d?
55
Let a(j) = 2*j**2 - j + 2. Let q(m) = -m**3 + 3*m**2 - m + 4. Let u be q(4). Let k = u - -17. Calculate the lowest common multiple of a(k) and 2.
6
Find the common denominator of 123/10 and 1057/252 - (5 + -3).
180
Suppose -133*p = -134*p + 96. What is the lowest common multiple of p and 14?
672
Suppose 4*d + 3*z - 83 = -35, -5*d - 2*z + 60 = 0. Let a(k) = -k**3 + 8*k**2 + 33*k + 4. What is the least common multiple of a(11) and d?
12
Let u = -27 + 42. Find the common denominator of -52/21 and (-9)/u + (-227)/105.
21
Let v(q) = 28*q**3 + 2*q - 1. Let w be v(1). Let s = -27 + w. Calculate the smallest common multiple of s and 10.
10
Let n(c) be the second derivative of c**4/12 - 5*c**3/6 - 15*c**2/2 + 6*c. Calculate the lowest common multiple of n(-3) and 12.
36
Calculate the smallest common multiple of 21 - -15*(-18)/27 and 102.
1122
Let r(v) = v**3 - 6*v**2 + 6. Let c = 1 - -5. What is the smallest common multiple of 4 and r(c)?
12
Calculate the least common multiple of 3/(-4)*3304/(-177) and 130.
910
Let c = 3026/3 - 994. Let l = -47983/6 + 8020. Let w = l + c. Calculate the common denominator of w and -71/4.
4
Calculate the common denominator of ((-1)/(-3))/(6/900) and 13/9.
9
Suppose -2*d + 27 = 7. What is the least common multiple of (12/15)/(1/d) and 7?
56
Suppose 2*t - y - 79 = 0, -4*t - 4*y + 2*y = -162. What is the lowest common multiple of t and 16?
80
Let h = -2 + 0. Let k = 1908 - 1904. Calculate the least common multiple of k and 3 + h/(0 - -2).
4
Suppose 5*z - 45 = s, -114*s = 4*z - 112*s - 22. Calculate the least common multiple of 137 and z.
1096
Let x = 171 - 166. What is the least common multiple of 9 and x?
45
Let u = 7428/55 + 7/33. Let c = 1304/9 - -527/45. Let m = u - c. What is the common denominator of m and 97/10?
30
Let r = -27246/7 - -3884. Let w = -3685/2 + 7273/4. Calculate the common denominator of r and w.
28
Let d(t) = 5*t**2 + 5*t - 17. Let x(v) = 4*v**2 + 4*v - 16. Let y(p) = 3*d(p) - 4*x(p). What is the least common multiple of 9 and y(0)?
117
Suppose 6 = -y - y - 2*d, -3*d - 11 = y. What is the least common multiple of (61 - y)*(-12)/(-30) and 6?
24
Let i be -256 - 2 - 0/(-1). Let a be i/(-21) + 8/(-28). Suppose -4*c + a + 52 = 0. Calculate the smallest common multiple of 2 and c.
16
Calculate the lowest common multiple of 42 and (-29)/(957/(-1870)) - (-2)/(-3).
168
Let c(q) = -q - 3. Let z be c(-6). Find the common denominator of (2/(-6))/(z/15) and 103/18.
18
Let q = -3/7811 + 4288251/31244. Let m = q + -247/2. Find the common denominator of 17/4 and m.
4
Calculate the least common multiple of 15 and -4*(-1 - 2 - -4) - -67.
315
Calculate the smallest common multiple of 6 and ((-4530)/30)/((-3)/2 + 1).
906
Let r be (1743/(-6) - (-3)/6)/(-3). Let i = r + -6389/66. Calculate the common denominator of -97/22 and i.
22
Suppose 73 - 601 = -24*l. Calculate the lowest common multiple of 8 and l.
88
Suppose 4*h - 390 - 402 = 0. Let g = h - 120. Calculate the least common multiple of g and 20.
780
Let a(z) = z. Suppose -5*v + 11 = -9. What is the least common multiple of 22 and a(v)?
44
Let p(v) = 414*v + 4. Let r be p(-11). Let x be ((-1)/(-11))/((-4)/200364). Let b = r - x. Calculate the common denominator of b and -17/11.
11
Let h(k) = -30*k - 10. Let j(m) = 31*m + 10. Let y(u) = 4*h(u) + 5*j(u). Let c be y(6). Find the common denominator of (-438)/c - (-6)/15 and 13/8.
88
Suppose p - 5 = -0. Suppose x + x + j - 38 = 0, 5*j = 2*x - 38. Calculate the least common multiple of p and x.
95
Let a = 8453 - 169023/20. What is the common denominator of a and 73/20?
20
Let t be (12/4 - -72)*1. Let y = t - 72. What is the lowest common multiple of y and 3?
3
Let c(b) = -3*b**3 + 3*b**2 - 4*b + 2. Let r be c(2). Let f = 51529/16 + -3219. Find the common denominator of r/44*1/3 and f.
176
Let m be 2/11 - (-22568)/10604. Let y = m + -9/241. Let i = -379/110 - -1/22. What is the common denominator of i and y?
55
Suppose 4*y + 2 = -2*q, 2*q + 14*y - 19*y = 34. Suppose -3*w + 5*w = 3*h - 22, 0 = -h + 2*w + 10. Calculate the smallest common multiple of q and h.
42
Let x be (-8)/130*7/196. Let u = x - 439/7280. Calculate the common denominator of u and -99/8.
16
Suppose -3*m = -0*c + c + 52, -2*c - 4*m = 106. Let r be -5 - (-110)/25 - (-2)/(-5). Calculate the common denominator of (12 + c)/(19 - r) and 27/2.
20
Suppose 75 = 20*z - 15*z. What is the least common multiple of z and 39?
195
Let b(j) = -14 - 4*j + 14. Let p be b(-7). Suppose p = 5*a + i + i, i = 3*a - 19. Calculate the smallest common multiple of a and 18.
18
Let m = -972 - -1810. Let t = -41 - -71. What is the lowest common multiple of 5/t - m/(-12) and 2?
70
Let i = 16005 - 32635/2. Let m = i + 307. Calculate the common denominator of -7/6 and m.
6
Suppose -147 = -50*n + 43*n. What is the lowest common multiple of 48 and n?
336
Suppose 2*b - b - 10 = 0. Suppose 2*a = -3*a - 40. What is the least common multiple of ((-90)/(-12))/((-3)/a) and b?
20
Suppose 0 = -0*s - 4*s + 16. What is the least common multiple of s and 2?
4
Let s = 516 - 495. What is the least common multiple of s and 6?
42
Let r(q) = q. Let j be r(8). What is the common denominator of 91/54 and 552/(4 - 8)*2/j?
54
Calculate the common denominator of ((-750)/(-8))/(459/34) and 477/108*6/(-8)*1.
144
Let o = -84 - -57. What is the least common multiple of 14 and 398/9 - (-6)/o?
308
Suppose -6*y + 3*y - s = -63, 5*y + 3*s - 101 = 0. What is the least common multiple of 7 and y?
154
What is the common denominator of (-9 - (-2728)/240)/((-3)/(-5)) and 33/2?
18
Suppose 4*l = 5*d + 10 - 43, d - 5*l = -6. Suppose 4*x + x + 5 = 0. What is the lowest common multiple of 1 + (11 - 1) + x and d?
90
Calculate the least common multiple of (-9)/(1*2/(-6)) and 27.
27
Let a = 138 - 127. Suppose