*t + b - 2761, 19*t = 23*t + 3*b - 2211. What is the lowest common multiple of 8 and t?
552
Suppose -4*m - 4 = -2*g + 14, 0 = -5*g - 5*m + 15. Find the common denominator of 43/8 and ((-345)/(-18))/g + 3/6.
24
Suppose -3*h - 5 = -3*w - 20, 0 = -3*h + 5*w + 11. What is the least common multiple of h and 6?
42
Let w(f) = f**2 - 5*f - 4. Let h be w(-4). Calculate the common denominator of -35/18 and (-6)/(-9)*876/h*-1.
36
Let i = -15023/19590 + 2/9795. What is the common denominator of 2/(-19) + (-5012)/(-684) and i?
90
What is the lowest common multiple of ((-12)/48)/((-1)/36) and 27?
27
Let q be ((-30)/9)/(-10) + (-197882)/40362. Let j = q - 2/961. Find the common denominator of -14/5 and j.
35
Suppose 0 = 3*z - z - 550. Let i = z - 2533/9. What is the common denominator of -21/2 and i?
18
Suppose 2*c = 6*c - 3*k + 837, 0 = -4*c - 2*k - 822. Find the common denominator of (c/24 - -3) + -4 and 4/48*(-15)/(-2).
8
Let n be -9*2/(-6) + 26650/24. Let y = -1115 + n. Find the common denominator of y and -46/21.
84
Let y(d) = 3*d**2 + 31*d - 45. Let w(q) = 2*q**2 + 21*q - 30. Let b(i) = 7*w(i) - 5*y(i). Calculate the smallest common multiple of 42 and b(-5).
210
Let k(h) = 2*h**3 - 15*h**2 + 14*h - 39. Calculate the lowest common multiple of 55 and k(7).
110
Let h = -121 - -145. What is the lowest common multiple of 6 and h?
24
Suppose -3 + 9 = -2*u. Calculate the common denominator of (-170)/u*(-6)/15 and 4/(-14) - (-24)/(-21).
21
Let x(j) = -j**3 - 10*j**2 + 28*j - 27. Calculate the smallest common multiple of 8 and x(-13).
232
Find the common denominator of -69/26 and -1 + (-21)/(-9) - (-11)/(-2).
78
What is the least common multiple of 68 and (9 - 345/10)*-6?
612
Let p = 1640773/42 - 39069. What is the common denominator of 1/70 and p?
210
Suppose 0 = -3*w - 3*c + 118 + 74, -w - 4*c = -76. What is the common denominator of -34/5 and (-1075)/w - 1/3?
20
Let y be 4/(-2)*90/(-4). Suppose -y = 4*w - 5*k + 10, -2*k + 50 = -3*w. Calculate the lowest common multiple of 12 and (2 + (w - 4))/(-1).
132
Suppose 3*m - 14 = m - 2*p, m - p - 3 = 0. Calculate the lowest common multiple of 25 and m.
25
Let d be ((-88)/(-33))/(3/(-54)*2). What is the lowest common multiple of 33 and 3*((-2)/5)/(d/180)?
99
Let t(x) = -6*x - 19. Let i be t(-16). Let n = -67 + i. Calculate the least common multiple of n and 8.
40
Let f = 24484 + -734381/30. Find the common denominator of f and 71/33.
330
Suppose 3*z = 4*k + 4*z + 17, -5*z = 5. Let d(o) = -5*o - 13. Calculate the smallest common multiple of d(k) and 7.
7
Calculate the common denominator of 4/40*(-186)/(-4) and 73/12.
60
Let s be (-1 - (-20)/15) + 182/(-447). Let x = s - -9337/1341. Calculate the common denominator of 133/24 and x.
72
Let a = -109/18 - -548/63. Let s = 24619 + -541523/22. What is the common denominator of s and a?
154
Let h = -46939 - -69136. Let z = 577023/26 - h. What is the common denominator of (-1)/30*(-3)/(-2) and z?
260
Let m = 1699/36 - 95/2. What is the common denominator of m and -2/147?
1764
Suppose -5*x - 196 = -1. Let p = x + 55. Let w = 27 + -11. What is the least common multiple of p and w?
16
Let t = -114 - -125. What is the smallest common multiple of t and 527?
5797
Let l = 15929/572 - 304/11. Find the common denominator of -2/117 and l.
468
Let z = -215/9 + 166/9. What is the common denominator of 19/144 and z?
144
Let o = -14/3 + 4. Calculate the common denominator of o and (-25)/(-1250)*(29 - 0).
150
Let w(m) = -12*m**3 - 6*m - 14. What is the smallest common multiple of w(-2) and 12?
564
Let j = 271 - 247. What is the lowest common multiple of 42 and j?
168
Suppose 5*r - i - 38 = 3*i, 0 = 2*r - 4*i - 20. Let u = 51 - 21. What is the least common multiple of r and u?
30
Let v = 542 + -382. What is the lowest common multiple of 2 and v?
160
Let i(c) = 3*c - 3. Let b be i(6). Suppose -3*h + 0 = -6. Suppose -3*r = h*r - b. Calculate the lowest common multiple of 4 and r.
12
Suppose -1 = 2*a - n + 1, 3*a - 5*n = -3. What is the common denominator of (-832)/80 + a/2 and 149/6?
30
Suppose -3*h + 16 = -7*h. Let c(f) = -5*f + 74. Let m be c(20). Let k = h - m. What is the least common multiple of 12 and k?
132
Let p(x) = -x + 10. Let t = -19 - -21. Calculate the lowest common multiple of 6 and p(t).
24
Let p be (-50)/(-7) - 3/21. Suppose -o = 4 + p. Let h = o + 13. What is the lowest common multiple of 10 and h?
10
Suppose -2*q + 0*q = 6. Let o(d) = 5*d - 3 - d + 2*d - 4*d + 2*d**2. Find the common denominator of o(q) and 68/9.
9
Let h(d) = -d**2 + 27*d - 98. Calculate the least common multiple of h(8) and 390.
3510
Let r = 24 + 8. Suppose r = 2*u + 2*u. Let g = 24 + -2. Calculate the smallest common multiple of u and g.
88
Let x = 22/315 + -4169/10080. Calculate the common denominator of x and -57/32.
32
Suppose -54*h = -30*h - 216. Calculate the smallest common multiple of h and 114.
342
Let z be 1 + (8/2 - 0). Suppose z*c = -h - 17, 0*c = -h - c - 1. Calculate the lowest common multiple of 7 and h.
21
Suppose r - 23 = f, -7*r = -8*r - 5*f + 5. Calculate the least common multiple of r and 10.
20
Let b(o) be the second derivative of -o**3 + 12*o. Calculate the lowest common multiple of 42 and b(-2).
84
Suppose -4*l + 4 = 2*u - 4, 2*l = 5*u + 16. Suppose -l*q + 112 - 742 = 0. Calculate the common denominator of (-335)/q - 2/(-6) and 51/32.
224
Find the common denominator of ((-174)/(-156))/(2/4) and ((-408)/360)/(2/18).
65
Let h be (-1 - 0)/(33/99). Let z(b) = -2*b**3 - 2*b**2 + 7*b + 9. What is the lowest common multiple of z(h) and 8?
24
Suppose 0 = -2*o + 20 + 50. Calculate the common denominator of 12/(-30) - 46/o and -12/7.
7
Let v(p) = 2073*p**3 - p**2 - 2. Let h be v(2). Let z = -497243/30 + h. What is the common denominator of z and -13/15?
30
Let m(b) be the second derivative of -b**4/12 - 5*b**3/6 - b**2/2 - 2*b. Let o be m(-4). Find the common denominator of -15/8 and (-166)/4 - o/2.
8
What is the common denominator of -5/252 and (460/1344)/((-5)/(-10))?
504
Calculate the common denominator of 53/16 and (94/(-2634))/(3 + 98/(-42)).
7024
Let q = -4158/5 - -45933/55. What is the common denominator of q and ((-34)/20)/((-12)/225*-6)?
176
Find the common denominator of -4/49 and 1388/1008 + 1/9.
588
Let r(d) = 24*d**3 + 3*d - 2. Let y be r(2). Let b be 25/15 + 0 + 1/3. What is the common denominator of b + (-6)/((-96)/y) and -63/4?
4
Suppose -366*c - 4980 = -381*c. Calculate the lowest common multiple of 28 and c.
2324
Let y(r) = -r**2 - 5*r + 1. Suppose -3*f = 9 + 9. Calculate the smallest common multiple of y(-3) and (f/(-2))/(1/2).
42
Let w = -158 + 179. What is the lowest common multiple of w and 18?
126
Suppose -3*d + 2*d = -6. Let j be (-1)/(4/(-96) + 0). What is the common denominator of (d/j)/((-1)/46) and -33/10?
10
Let q = -692 - -790. Calculate the smallest common multiple of q and 63.
882
Suppose 0 = -z - z - 22. Let v = 9 + z. Calculate the smallest common multiple of 8 and 1*(-1)/v*14.
56
Let b = 346284373/24 - 14435589. Let m = 7071 + b. Calculate the common denominator of (-10)/(-12) - (-1 - 0) and m.
24
Suppose 0 = -m + 4*m. Suppose 3*y + 22 = -5*a, 0 = -4*y + a + 9 - 0. Calculate the lowest common multiple of y + -4 + 51 + m and 2.
48
Let y(a) = -a**2 - 10*a - 13. Let m(v) = -3*v. Let q be m(-1). Suppose -3*w = q*g - 18, -4*g + 3 = 11. What is the least common multiple of w and y(-7)?
8
Find the common denominator of 4 + 343/(-315) + -5 and 49/75.
225
Let x = 168 + 66. Let j = -19/1093 + -112047/30604. Find the common denominator of j and (-1667)/x - 8/52.
252
Suppose v = 2*z - 796, -2*v + 781 = 3*z - 399. Find the common denominator of -25/4 and (z/128 - 3)*380/(-5).
8
Let j = 319 - 313. Suppose 0 = k - 3. What is the lowest common multiple of j and k?
6
What is the common denominator of -99/2 and 2*(6 + (-151)/20)?
10
Let b = 33 + -49. Find the common denominator of 81/20 and (-50)/b - (-66)/(-110).
40
Suppose -i - 7 = 4*n - 2*n, 2*i + 9 = -3*n. Suppose 3*r - 114 = -i*r. Find the common denominator of r and (-155)/50 + 1/(-2).
5
Let l be (1/1166)/((-52)/16). Let j = l + 416857/45474. What is the common denominator of (59/(-30))/((-16)/40) and j?
12
Let x = -14739/4 + 3696. Calculate the common denominator of (170/(-8))/((-46)/4) and x.
92
Let p = -638/15 + 55