3. What is the least common multiple of 248 and o?
248
Suppose 6*p = 141 + 135. What is the lowest common multiple of p and 78?
1794
What is the common denominator of 397/(-84) + 12/84 and 107/30?
60
Let z(g) = g**2 - 15*g + 14. Let b be z(14). Let f(c) be the first derivative of -c**3/3 - c**2/2 + 7*c + 3. Calculate the least common multiple of f(b) and 5.
35
Let t = -4/305 - -27153/610. Let h(b) = 2*b**2 - 8*b + 4. Let c be h(5). Find the common denominator of (-8)/(-16) + c/5 and t.
10
Let r = -108 - -112. Suppose -2*p + 60 = r*a, 3*a - 42 = -3*p - 0*p. What is the least common multiple of 16 and a?
16
Suppose -5*k - 3*b = -309, -2*k + 3*k - 5*b - 73 = 0. Find the common denominator of (18/28)/(12/k) and (44/(-64))/(-2 + 1).
16
Suppose 6*h = -h + 168. What is the smallest common multiple of 6 and h?
24
Let t(p) = 15*p**2 + 32*p - 16. Let r be t(-18). Calculate the common denominator of 2008/r - 4/22 and 15/4.
388
Let h = -3245 + 68098/21. Find the common denominator of -19/129 and h.
903
Let w be (1/(-2))/(2/(-8)). Suppose -v = -6*v - 5*t + 75, w*v - t = 33. Let z = 29 + -23. What is the least common multiple of z and v?
48
Calculate the common denominator of 6 - 7/((-350)/(-347)) and 67/55.
550
Let w(y) = -y**3 - 11*y**2 + 5. Let d(g) be the third derivative of g**5/60 - g**4/24 - 2*g**3 - 4*g**2. What is the least common multiple of d(5) and w(-11)?
40
Let o = -19 + 14. Calculate the lowest common multiple of ((-6)/(-15))/(o/(-125)) and 2.
10
Suppose 0 = -4*k + k + 45. Let f = k + -3. What is the common denominator of ((-402)/9)/((-16)/f) and 99/10?
10
Let s = 10 - 11. Let u be -11 + s/((-4)/8). Let k = -5 - u. What is the least common multiple of 9 and k?
36
Suppose -5*x = -4*x - 7. Let h = x - -15. What is the lowest common multiple of 79/3 + (-9)/27 and h?
286
Let l be 6/(-33) + 2345/11. Let x be ((-3)/(-9))/(l/1026). Let f = x + 3333/710. Calculate the common denominator of f and 121/10.
10
What is the common denominator of (465/(-100))/((-58)/(-5)) and 37/14?
1624
Suppose -2*c - 767 = -3*t + 315, 0 = -4*t + 3*c + 1443. Calculate the lowest common multiple of t and 12.
360
Let i(a) be the second derivative of a**5/20 + 7*a**4/12 - 5*a**3/6 - 9*a**2/2 + 23*a. Calculate the lowest common multiple of i(-7) and 9.
234
Let i(g) = g**3 - 12*g**2 + 11*g + 10. Let a be i(11). Let y be -59*(3 - (-305)/a). Let v = 1933 + y. Find the common denominator of -83/10 and v.
10
Suppose 6 = 3*c + 3*c. Calculate the common denominator of c/2 + (-483)/(-154) and 34/9.
99
Let n = 3691/3 - 1224. Find the common denominator of -155/264 and n.
264
Let y be 1/(-4) + 210/40. Suppose y*c + 676 = 36. What is the common denominator of -15/16 and -1 - 42*20/c?
16
What is the smallest common multiple of (320/28 - 12) + 2356/7 and 20?
1680
Suppose 4*b = -5*k + 5547, 4*k - 1655 = -5*b + 2788. Let g = -3269/3 + k. Find the common denominator of g and 77/18.
18
Let q = 4290 + -51529/12. Find the common denominator of q and (-10)/12*(11 - 1222/117).
108
Suppose -7 + 3 = -p, -5*p = 3*z - 53. Let l = 16 - z. Suppose -5*g = h, l*h = 3*g + 192 - 80. What is the lowest common multiple of 8 and h?
40
Let g(t) = -101*t**2 - t - 2*t + 100*t**2 - 6. Let r be g(-3). Find the common denominator of -5/14 and 477/r*(-4)/12.
14
Let q = 20 + -33. Let a = 21 + q. Let i = a + -1. Calculate the smallest common multiple of 10 and i.
70
Let j = -763 + 258. Find the common denominator of 2*(-5)/(2000/j) and 2/7 - 733/(-154).
440
Suppose -4*r + 4*z = 2640, 3*z = 2*r + 2*z + 1320. Find the common denominator of 87/112 and (-3414)/r + (-4)/10.
1232
Calculate the lowest common multiple of (2310/7)/(27/36) and 8.
440
Suppose 2*p = 4*q + 340, 4*q = -3*p + 2*p + 152. Calculate the smallest common multiple of 8 and p.
328
Find the common denominator of -67/4 and (2 - 2/8)*28/(-71).
284
Suppose 3*b + 0 + 6 = 0. Let p = b + 4. What is the least common multiple of p and 10/35 + 486/63?
8
Let z = 3903 + -187297/48. Let r be (-1*542/9)/((-1568)/21). Let u = r + z. What is the common denominator of 15/14 and u?
14
Let t be ((-276)/15)/(2/(-20)). Suppose -l = j - 1, 20*l - 15*l - 26 = 2*j. What is the smallest common multiple of l and (-2)/3 - t/(-6)?
60
Let j(q) = 2*q - 5*q**2 - q**2 + 10 - 5*q**2 + 10*q**2. Calculate the least common multiple of 14 and j(4).
14
Let y be (1/2)/((-6)/(-36)). Suppose 0 = y*t - t + 2*o - 14, -5*t + 7 = -2*o. What is the common denominator of -17/12 and 2*(t - 3/84)?
84
Suppose 264 = 2*v + 20*v. Calculate the smallest common multiple of 75 and v.
300
Let s = -127 - -187. Suppose y = -d - 2*y + 12, 0 = 5*d + 5*y - s. Let w(b) = 4*b**2 + b. What is the lowest common multiple of w(-2) and d?
84
What is the least common multiple of 6 and 6/12*1548/9?
258
Let i = -367 + 385. What is the least common multiple of 106 and i?
954
Let b = -12 + 21. What is the common denominator of 7/(-12)*17/(204/(-18)) and (-3)/(-5)*(2 - b)?
40
Let m(s) = -s**3 - 8*s**2 - 15*s - 12. Let p be (-4)/(-2)*(-18)/(-4). What is the lowest common multiple of m(-6) and 2/9 - (-34)/p?
12
Let d = -164457/14 - -1551220/63. Let m = 12872 - d. Find the common denominator of ((-201)/(-45))/(4/(-3)) and m.
180
Let z = -57591/11 - -5239. Calculate the common denominator of 39/50 and z.
550
Calculate the least common multiple of 3/(-3) + -4 + (210 - 0) and 11.
2255
Let o(n) = 29*n**3 + 3*n - 2. Let k be o(1). What is the least common multiple of 11 and k/(-45) - 17/(-3)?
55
Suppose 2*k = 5*z + 9, -2*z + 31 = 5*k - 6*z. Calculate the least common multiple of 1104/1288*56/6 and k.
56
Let y = 48 - 41. What is the common denominator of -2 + 3 - (-81)/4 and 3*4/y - (-5)/10?
28
Calculate the common denominator of 134/8 + (-95)/209*-11 and -93/92.
92
Let q = -37 + 24. Find the common denominator of (q/78)/((-1)/130) and 59/7.
21
Let r = 28307/110 + -1271/5. Let k = -1172 + 4605/4. What is the common denominator of k and r?
44
Calculate the least common multiple of 6 and 1 + 104 + (-56)/8 + 5.
618
Let d(l) = l**3 - 11*l**2 - l - 2. Let g be d(10). Let v = -554/5 - g. Find the common denominator of v and -69/14.
70
Let v(r) = r**2 - 8*r - 37. What is the smallest common multiple of 3 and v(-4)?
33
Let o be 0 - (-7)/(28/40). Let c = -2 + o. Suppose -5*i + 1 - 11 = -5*h, 0 = -5*h - 5*i + 10. What is the lowest common multiple of h and c?
8
Let b be (-85)/30 + 3 - (-11)/6. Calculate the smallest common multiple of -1*(12/(-3) + b) and 12.
12
Suppose 14*a - 218 = 482. Calculate the smallest common multiple of a and 8.
200
Suppose o = -4, 0 = g - 0*g - o - 12. Let x be 3 + (-40)/12 + (-228)/(-9). Let q = x + -13. Calculate the smallest common multiple of g and q.
24
Find the common denominator of (-3378)/840 + (-186)/(-30) + -6 and -9/176.
1232
Let w be 0/(-2) - (16 - 15/(-3)). What is the common denominator of (200/(-56))/((-18)/w) and -26/9?
18
Let p = 33 + 306. Let m = p + -66. What is the common denominator of 49/11 and m/48 + (-6)/2?
176
Let j be (-8)/6*(-27)/(-18). What is the least common multiple of ((-20)/(-25))/((-1)/10*j) and 16?
16
Let u = 851 - 767. Calculate the least common multiple of u and 24.
168
Let l = 109 - 106. What is the common denominator of l - (1 + 425/(-40)) and (-2)/8*(-61)/(-3)?
24
Suppose 2*h + 606 = 1810. Calculate the smallest common multiple of h and 8.
2408
Let b = 165448 - 29449657/178. What is the common denominator of b and 127/6?
534
Let q = -1233/58 + 747/29. Let t = -10232 + 214789/21. Find the common denominator of t and q.
42
Let z(a) = -8*a + 8. Let f be z(7). What is the common denominator of (4/f)/(8/(-18)) and 33/20?
80
Let t be (5/(-4))/((-1)/4). Calculate the common denominator of ((-27)/(-25))/((54/30)/9) and (-2)/t + (-239)/(-10).
10
Let z be (12653/9)/((-1012)/6). Let p be (-4)/((-4048)/(-4050)) + 4. Let k = p - z. Calculate the common denominator of k and -32/9.
9
Let z = 332911/208698 + 2/34783. Calculate the common denominator of -77/30 and z.
210
Find the common denominator of ((-20)/(-25))/((-1015)/(-225)) and -69/2.
406
What is the common denominator of -95/162 and (((-45)/162)/5)/(-1 + -8)?
162
Let b(s) = -37*s**3 + 4*s**2 + 6*s - 20. Let x be b(5). Let w = -54143/12 - x. Find the common denominator of w and 225/40 - (-1 - -2).
24
Let i(p) = -p**2 - 12*p + 2. Let t be