 multiple of x(-60) and q.
308
Let j(l) = -14 - l - 4 + l**2 + 6 - 10. Calculate the least common multiple of j(7) and 30.
60
Suppose 80*p = -13*p - 29*p + 9882. What is the least common multiple of p and 60?
1620
Let s = -17323/7 + 2477. Find the common denominator of 68/87 and s.
609
Let x(g) be the third derivative of -55*g**4/24 + 7*g**3/2 + 80*g**2. What is the lowest common multiple of x(-1) and 6?
228
Suppose 22*m - 2774 = -5*v + 25*m, -2*v + 5*m + 1121 = 0. What is the smallest common multiple of v and 395?
2765
Suppose 16*c - 27*c = 308. Calculate the smallest common multiple of 68 and 6/(-1) - (c - 2).
408
Suppose -3*r + 5 = -i, -5*i + 0 = -r + 11. Let x = 197/2 + -111. Calculate the common denominator of x and i/(-18) - (-3 - 238/(-117)).
26
Calculate the lowest common multiple of 126 and (-162)/9*((-665)/30)/7 - 1.
504
Suppose -264 = -7*n + 1199. Let f = n - 146. What is the least common multiple of 2/9 + (-7)/(f/(-268)) and 12?
60
Let w = 39 + -36. Let y be (((-9)/6)/((-1)/2))/w. What is the common denominator of -139/6 and y*906/(-20) - (-1)/(-5)?
6
Let f = 8195521/1080 - 113303/15. Let p = f - 775/27. What is the common denominator of p and 65/18?
72
Let f(r) = -16*r + 156. Let s(p) = -p**3 + p**2 + 12*p + 9. Let l be s(-3). What is the lowest common multiple of f(l) and 1100?
3300
Let i = 864 - 739. Suppose -46*a - 33 + i = 0. What is the lowest common multiple of a and 131?
262
Let f = 355/43 + -47935/5676. What is the common denominator of f and 53/534?
11748
Suppose -2 = 2*r, 2*p = -0*p + 3*r - 77. Calculate the common denominator of (-8 - (0 + -6))/(p/226) and -1/106.
530
Let h(q) = -q**2 - 12*q + 6. Let c be h(-11). Let l = 25 - c. Calculate the smallest common multiple of 4 and l.
8
What is the smallest common multiple of (-50)/4*(-14 - 8) and 575?
6325
Let s = 55970323/139722390 + 1/408545. What is the common denominator of -97/10 and s?
1710
Suppose 32 = 2*i - 40. Suppose -89*g + 93*g = 0. Suppose g = -47*l + 42*l + 50. Calculate the lowest common multiple of l and i.
180
Suppose 4*k - 3982 + 882 = 0. Let p = 7709/10 - k. What is the common denominator of (34/64)/(2/20) and p?
80
Let r = 2162425/112 - 19308. What is the common denominator of 17/266 and r?
2128
Suppose -3*i - 191 = 2*x, -4*x + 2*i = 423 - 33. Let p be 29596/56*27/147. Let l = p + x. Calculate the common denominator of 41/11 and l.
154
Let v = 4926 - 133034/27. Suppose -11*j - 4 = -10*j. Find the common denominator of j - (404/(-84) + 2) and v.
189
Calculate the least common multiple of 1216 and -2 + (-36 + 95)/(1/6).
13376
Let d(r) = -28*r - 488. Let o = -41 + 81. Suppose -o = -9*p + 4*p. What is the least common multiple of d(-18) and p?
16
Let b(r) = 3*r**2 - 50*r - 106. Let z = 5 - 0. Suppose z*i = -2*q + 96 + 43, 0 = -5*q + 2*i + 362. What is the lowest common multiple of b(-2) and q?
72
Let u = 490265 + -2066467243/4215. Let c = u + -27726197/67440. Let s = c - -411. Calculate the common denominator of 65/12 and s.
48
Let w(y) = -3*y + 1. Let s be w(-1). Suppose -4*a + 32 = 4*h - s, -a - 3*h + 17 = 0. Suppose -10 - 20 = -a*o. What is the least common multiple of o and 18?
18
Let o(p) = p**2 + 3*p + 3. Suppose -17*y + 22496 = 20*y. Let s = 612 - y. Calculate the lowest common multiple of s and o(-5).
52
Suppose 8*d - 3280 = 6*d. Let x = 29477/18 - d. What is the common denominator of 10/(-25) - (-172)/(-200) and x?
450
Let r(g) = -g**2 + 197*g - 954. Suppose 0*l - 56 = -5*d + 3*l, d = l + 12. What is the least common multiple of r(5) and d?
30
Let r(c) = -c**3 - 36*c**2 - 32*c + 29. Let v be r(-35). Let l = 528619/18 + -29375. Calculate the common denominator of ((-2)/v)/(-2*(-1)/158) and l.
342
Let u be 36429/27 + 2 + (-10)/2. Let a = u - 1348. Calculate the common denominator of a and -13/407.
3663
Let b = 427/5 - 16633/195. Let c = -2753/156 - b. Let j = 31 - 60. Find the common denominator of j and c.
4
Let y(f) = 2*f**2 - 2*f + 4. Let v(o) = -2*o**2 + 5*o + 17. Let j be v(6). Let g be (4/(-10))/((-5)/j). Calculate the smallest common multiple of 3 and y(g).
48
Let j = 138884/21 + -6612. Let k = -12863 - -385769/30. What is the common denominator of j and k?
210
Let l = -149 + 169. Let b = 82 - l. What is the common denominator of -73/40 and ((-3*b)/(-6))/20?
40
Suppose -5*n - 8*y = -6*y + 88886, -4*n = 4*y + 71116. Let z = 1066511/60 + n. Calculate the common denominator of -37/5 and z.
60
Let x(z) = 3*z**3 - 27*z**2 + 65*z + 7. Calculate the lowest common multiple of 32 and x(9).
1184
Let s = -1081 + 1089. What is the smallest common multiple of s and 1986?
7944
Suppose 2*d + 3*y = -4 + 12, -2*d + 8 = 5*y. Suppose 2 = f - d. What is the common denominator of -111/22 and 85/(-8) + (-1)/(f/12)?
88
Let d be (-756)/(-8)*(-2 + 30/9). Let h be (-4)/18 + 43733/d. Let a = 3080/9 - h. Find the common denominator of -9/11 and a.
154
Suppose -5*r = 2*f - 584 - 270, 5*r = -10. Let u = -289853/119130 + -1/3971. Find the common denominator of u and 66/f*(3 + -7).
90
Let u = 928 - 228. Calculate the common denominator of 1 + (470/(-45) - -10) and (u/(-16))/7 - -1.
36
Calculate the smallest common multiple of 4770 and ((-60)/(-210))/((-2)/6 - (-93)/252).
19080
Suppose i - 15 = u, -42 = 2*u - 2*i - 3*i. Let c(w) = 14*w**2 + 17*w**2 + 16 - 64*w**2 + 22*w**2 - w**3. Calculate the least common multiple of c(u) and 12.
48
Find the common denominator of ((-1089)/88)/(4/2) and 4/(-56)*-553*(-2)/74.
592
Suppose 6 = -2*u, 3*u = -4*b + 2*u + 17. Suppose -2*l = -o + 32, 43 + 57 = 5*o + b*l. What is the smallest common multiple of 3 and o?
24
What is the common denominator of 4/10*95/(-9196)*10 and 47/8?
968
Let b = -5692/57 + 334507/3344. Calculate the common denominator of b and -67/160.
5280
Let r = 28033 + -27812. Calculate the smallest common multiple of 13 and r.
221
Suppose 16*w - 36 = -2*w. Calculate the least common multiple of 20 + w*(-35)/14 and 21/(-2)*(-3 - -1).
105
Let f = -63/80 + 69/40. Calculate the common denominator of 97/252 and f.
1008
Let f(c) = -2*c**3 - 51*c**2 + 67*c - 105. What is the lowest common multiple of 624 and f(-27)?
4368
Suppose -t = 1 - 18. Suppose 0 = -t*o - 0*o + 306. Calculate the least common multiple of o and 14.
126
Let u(x) = -8*x**3 - 86*x**2 + 26*x + 55. Calculate the lowest common multiple of u(-11) and 1463.
1463
Let v = 1463 - 499. Let f = v + -784. What is the lowest common multiple of 12 and f?
180
Let h be ((-114)/(-4))/((-13)/(-26)). What is the common denominator of 63/110 and -52 + h + 982/(-200)?
1100
Calculate the lowest common multiple of 815 and ((-200)/(-30)*163/4)/(7/21).
815
Let s(o) = -1335*o - 990. What is the smallest common multiple of 9 and s(-1)?
1035
Let a be (0 - -1)/((-90)/(-12) + -7). Let b(z) = 7 - 21*z + 9*z**2 + z**3 - 3 + 11*z**a. What is the smallest common multiple of 60 and b(-21)?
60
Let q = -12 + 9. Let j be q - (-3)/((-168)/3244). Let h = 1793/35 + j. What is the common denominator of h and 21/2?
10
Suppose 6*t = -168 + 36. Let k(s) = s**2 + 24*s + 59. What is the lowest common multiple of k(t) and 18?
90
Let u = 1164080 + -7187029799/6174. Calculate the common denominator of 32/343 and u.
6174
What is the common denominator of 37/90 and ((-18)/(-27) + (-34)/48)/(1008/1952)?
3780
Suppose -2*v + 12 = -v. Let m(y) = y**3 + 12*y**2 + 5*y - 24. Let u be m(-9). Calculate the common denominator of 59/9 and (v/(-243)*-3)/(4/u).
9
Let y(g) = -4*g + 31. Let c be y(9). Calculate the common denominator of -17*12/140*c and (-74)/407 - (-179)/88*-2.
28
Let y = -13 + 19. Suppose 49 = y*n - 71. Suppose -9*v = -311 - 49. Calculate the smallest common multiple of n and v.
40
Let a be -8 + 5 - -4 - 42. Suppose 190 = 5*v + 5*s, 5*v - 2*s - 222 = s. Let o = v + a. What is the smallest common multiple of 6 and o?
6
What is the common denominator of (7/1 - 680/96)/((-128)/252) and -121/312?
4992
What is the common denominator of 103/2046 and (-48)/18 - (-79 - -72)*(-12)/14?
2046
Let x be -6 - (1 - 5) - 3. Calculate the common denominator of 23/72 and -4 + x + 4926/528.
792
Suppose -24*d + 7462 = 17*d. What is the smallest common multiple of d and 140?
1820
Suppose 0 = -4*x + 3*o + 108 + 96, x - 3*o - 69 = 0. What is the least common multiple of x and (4/(-5))/(6/(-45))?
90
Let c(n) = -n**2 + 128 - 52 - 7*n -