ate the common denominator of b and 19/22.
22
Suppose 12*y - 3718 + 1054 = 0. What is the least common multiple of 129 and y?
9546
Let x be (4/(-10))/((-3)/(-30)). Suppose -4*q + 48 = -4*d, 6*q - 34 = 2*q - 3*d. Calculate the lowest common multiple of 292/18 + x/18 and q.
80
Let w = 1/6235 - -744707/8729. Let u = -663/7 + w. Let d = 813/8 + -1015/8. Calculate the common denominator of d and u.
20
Find the common denominator of 2/15 and 5 + -6 - (-137)/60.
60
Let g = 20 - -19. Calculate the common denominator of (g/(-9))/((-16)/60) and (-358)/60 - 8/(-20).
60
Let j(s) = -22*s - 318. Calculate the lowest common multiple of 516 and j(-15).
516
Let m = -53749/2814 - -1058/67. What is the common denominator of -31/81 and m?
1134
Let m(o) = -7*o - 2. Let f(g) = -g - 1. Let d(z) = -4*f(z) + m(z). Calculate the smallest common multiple of d(-4) and 2.
14
Let s be ((-2)/(-4))/((-2)/(-12)). Suppose 0 = -0*q + s*q - 6. Calculate the least common multiple of 10 and q.
10
Calculate the common denominator of -4 - (-1 - -2) - 366/(-75) and 14/19.
475
Suppose 5*o + 4*d - 228 = -3, 3*d = 0. Calculate the lowest common multiple of 20 and o.
180
Let f = 6 + 23. Let t = f - 55. Let k = 40 + t. Calculate the least common multiple of 40 and k.
280
Suppose -3*y = -2*y - 4. Let t = 62 + -62. Suppose j + t*j - 15 = -3*i, 3*i = -4*j + 6. Calculate the smallest common multiple of i and y.
12
Let p be (12/9)/((-4)/18). Let c(r) = -r + 10. What is the least common multiple of (-12)/10*1*-10 and c(p)?
48
Let l = -36/203 + -2393/406. Let y be (-159)/(-4)*(-88)/(-33). What is the common denominator of 0 + y*3/(-72) and l?
84
Let s = 5/4 + -45/28. Suppose -2*w - u = 234, -2*w - 5 = 3*u + 221. Find the common denominator of s and (0 + -2)/((-20)/w).
70
Let a = 493 - 337. Calculate the least common multiple of a and 36.
468
Let q = 40405 + -3636361/90. What is the common denominator of q and -65/144?
720
Suppose -k + 11 = -7. What is the least common multiple of 1/(3 + -4) + 2 + 23 and k?
72
Let t = -952771/24 + 39705. Calculate the common denominator of -57/128 and t.
384
Suppose -3*n - 76 = -m + 23, m - 5*n - 93 = 0. Calculate the smallest common multiple of m and 216.
216
Suppose 3*f + 1 - 25 = -3*s, -5*f + 28 = 2*s. Let w = -1582 + 1624. What is the lowest common multiple of w and s?
84
Let n = -17 - -23. Calculate the common denominator of (24/(-3))/(n/(-11)) and -61/8.
24
Suppose -15*l + 63 = -42. What is the least common multiple of l and 188?
1316
Let f be 30/9 + -4 + (-1)/3. Calculate the lowest common multiple of 18 and (1 - f)*(-19 + 26).
126
Let d = -11793295/32 + 735745/2. Let l = d - -2665/4. What is the common denominator of -59/2 and l?
32
Suppose 87*x - 1432 + 419 = 727. Calculate the least common multiple of x and 30/4*8/3.
20
Calculate the smallest common multiple of (35/(-63) + 2/9)*-12 and 3.
12
Suppose -3*q - 3*d + 4*d = -36, -q - 2*d + 5 = 0. What is the smallest common multiple of (4 + 0)/(q/44) and 12?
48
Let q = 259/2 + -164. Calculate the common denominator of 167/90 and q.
90
Let g = -9089/160356 - 3/2324. Calculate the common denominator of -121/10 and g.
690
Suppose 2*y - 3*u + 6 = -2*y, y + 11 = -4*u. Let p(l) be the second derivative of -l**3/6 - 2*l. Calculate the least common multiple of p(y) and 10.
30
Let o be (-75002)/9*(-18)/11688. Let n = -1/1461 + o. Let j = -168793/34332 + -1/5722. What is the common denominator of j and n?
12
Let u(x) = -397*x - 7. Let c be u(-5). Suppose 2*m + 726 = f, 4*m + f + c = 532. Let b = 2167/6 + m. What is the common denominator of -67/14 and b?
42
Let d = -37 - -34. What is the common denominator of (12/(-9))/((-5)/d) and -38?
5
Let j = -16034/7 - -2284. Suppose 0 = -4*d - d - 6030. Let k = d - -4921/4. Calculate the common denominator of j and k.
28
Let s = 13708/5 + -411061/150. Calculate the common denominator of s and -28/225.
450
What is the common denominator of 42/5 and (328/(-4) + 3)/68?
340
Let z be (1 - (-503)/(-2))*272/(-12). Let s = z + -34157/6. Find the common denominator of s and -49/9.
18
Let q(b) = b**3 + 6*b**2 - 4*b + 3. Calculate the lowest common multiple of (-1736)/(-48) + 1 + 21/(-18) and q(-6).
108
Let b be (1 - -7) + -2 - (-3 - -7). Suppose 0 = b*a - 3*a - 3*f + 16, 4*a - 86 = -f. What is the least common multiple of 2 and a?
22
Let h(r) = 14*r**2 - 21*r - 3. Let y(x) = 5*x**2 - 7*x - 1. Let o(s) = -6*h(s) + 17*y(s). What is the least common multiple of 7 and o(-8)?
63
Suppose 2*q + 2 = 22. Let n = 19 - 10. Calculate the least common multiple of q and n.
90
Let p be ((-350)/21)/((-1)/15). Suppose 4*v - 3*h = -p, 4*h = 5*v - 0*h + 312. What is the common denominator of ((-260)/v)/((-1)/(-2)) and -29/14?
56
Find the common denominator of -101/72 and ((-300)/180)/(24/10).
72
Suppose 3*f - 74 = -0*f + 5*c, c - 2 = 0. Let o = -26 - f. Find the common denominator of ((-32)/156)/(3/o) and 52/7.
91
Let l = -21 + 35. Suppose -17 = l*q - 15*q. Calculate the common denominator of (q*-1)/(10/25) and 43/16.
16
Calculate the common denominator of -67/322 and -10*(-3 - 42/140).
322
Let p = -4439/4 - -22293/20. Let r = -3806 - -114133/30. What is the common denominator of p and r?
30
Suppose 508 = 4*f - 5*g - 782, 0 = -f + 5*g + 330. Calculate the smallest common multiple of f and 120.
960
Suppose -86 = -4*y + 34. Let d = 6164 + -6153. Calculate the least common multiple of d and y.
330
Suppose b - 19 = x, 11*x - 16*x + 52 = 2*b. Calculate the smallest common multiple of 5 + -2 - 0/(-5) and b.
21
Let r be (-2)/(44/5938) + -3. Let n = r - -271. Let b = 313/55 - n. Find the common denominator of 58/9 and b.
45
Let z = 21292 - 233936/11. Let q be (-4283)/(-198) - (12 - 530/45). Let p = q + z. Find the common denominator of p and 29/24.
24
Let b = 2/6329 + -500007/50632. Suppose -4*u + 28 = -4*a, 0 = -5*u - a - 3*a - 10. Find the common denominator of (17/u)/(1/(-3)) and b.
8
Let t = 8 - 8. Suppose t*x = 4*x - 24. Suppose x = 4*v - 10. What is the smallest common multiple of v and 3?
12
Let k(z) = z**2 - 2*z - 11. Suppose 38 = 3*t - 5*m, -4 = -2*t - 2*t - 5*m. What is the least common multiple of t and k(5)?
12
Suppose 5*o - 14 - 11 = 0. Let t(x) = -x**3 + 6*x**2 - 5*x + 2. Suppose -2*v + 3*v = 12. What is the lowest common multiple of v and t(o)?
12
Let i = 6344606 + -5989308771/944. Let s = i + 11/59. Calculate the common denominator of (152/(-84))/(4/(-3)) and s.
112
Suppose -3*r = 37*l - 40*l - 534, -3*r + l + 538 = 0. What is the smallest common multiple of r and 20?
180
Suppose -3036 + 509 = 133*j. Let t(i) = i**3 - 5*i**2 - 5*i - 7. Let b be t(6). Find the common denominator of (b - -2) + 135/33 and j.
11
Let o be 131 + (-6)/(-39) + (-168)/(-91). Suppose 0 = 6*s - o - 83. Calculate the least common multiple of s and 20.
180
Let b = 2280217243397/6963121 - 23951/118019. Let m = -655031/2 + b. Let k = m - -96/59. Calculate the common denominator of 51/10 and k.
10
Let d(y) = -y + 19. Let l be d(-8). Calculate the lowest common multiple of (l/12)/1 + 2/(-8) and 5.
10
Let k = -275347/59706 - -2/3317. Calculate the common denominator of 1/1 + (-5)/(-18) and k.
18
Let v = 23 + 7. Let a = 73/4 - 135/8. What is the common denominator of ((-22)/v)/((-8)/(-50)) and a?
24
Let u be (70443113/(-29481))/((-210)/9). Let n = u + 95/9827. Let p = 471/5 - n. What is the common denominator of -17/12 and p?
84
Let r = -485 - -489. What is the smallest common multiple of 76 and r?
76
Suppose -20*n - 45 = -23*n. Calculate the common denominator of ((18/n)/(-3))/(16/206) and (0 - 1) + 1/16.
80
Let p(g) = g**2 + 2*g + 1. Let y be p(-3). Suppose 0 = -m + 3*x + 10, -y*m + x + 3*x = -40. What is the smallest common multiple of m and 1520/722 - (-2)/(-19)?
10
Let a be (-8 - 473)/(2/(-4)). Calculate the common denominator of -3/2 and (-22)/55 - a/220.
22
Suppose s - 5*g - 28 = 0, -7*g + 3*g + 4 = 0. Suppose 0 = 5*f - 2*f - 84. Let v = s - f. Calculate the least common multiple of 8 and v.
40
Let m = 661031/40 - 16527. What is the common denominator of 29/50 and m?
200
Suppose 18 = 19*m - 77. What is the least common multiple of m and 1?
5
Let p be 116796/160*30/(-4). Let q = -5477 - p. Let b = 23243/9594 + -18/533. Find the common denominator of b and q.
144
Let b = -3420 + 3422. Suppose -4*n = -f - 62 - 12, 3*n + 4*f - 