 Let z = p - -974. Calculate the common denominator of z and -109/6.
6
Let v(c) = c**2 + 15. Suppose -5*d = -3*s - 15, 3*d - 4*s - 17 - 3 = 0. Calculate the least common multiple of 9 and v(d).
45
Suppose 23 = x - 75. Let d = -3 - -13. Calculate the smallest common multiple of x and d.
490
Suppose -5*m + 2*m + 24 = 3*x, -4*x - 8 = -4*m. What is the least common multiple of m and 13?
65
Let r(t) = 82*t - 10. Calculate the least common multiple of 99 and r(1).
792
What is the common denominator of 18875/10872 - (-2)/18 and 91/48?
144
Let a = 1/1961 - -99989/43142. Let r(t) = t**2 - 11*t - 4. Let i be r(6). What is the common denominator of a and (-9)/(-6)*i/(-6)?
22
Suppose 0 = 2*j - j + g, 0 = 4*g + 12. Let o be 6/9 - (-10)/j. Find the common denominator of -45/11 and o/(-33)*(-114)/(-4).
11
Let i(f) = -26*f**2 + 2*f - 2. Let g be i(3). Calculate the common denominator of 5 + -6 + g/36 + 1 and 121/6 + (0 - -1).
18
Let p be 208/10 + 10/50. Let f(t) = t**3 + 4*t**2 + 4*t + 2. Calculate the smallest common multiple of 10/35 - (-120)/p and f(-2).
6
Let u(t) = 13*t - 78. What is the lowest common multiple of 36 and u(10)?
468
Let k(m) = -m**3 - m**2. Let l be k(-1). Calculate the common denominator of 65/4 and -2 - ((-291)/27 - -3) - l.
36
Let i = 449 + -9835/22. What is the common denominator of 67/9 and i?
198
Suppose 7*o + 23 = 275. Calculate the lowest common multiple of o and 36.
36
Suppose 4*r = -0*r + 8. Suppose -r*y - 13 = -h - y, 43 = h + 5*y. Suppose -64*u + 72*u = 160. What is the lowest common multiple of h and u?
180
Let t(b) = 7*b. Find the common denominator of t(3) and ((-2)/(-22))/(1*1/(-17)).
11
Let c(n) = -68*n - 480. What is the least common multiple of c(-8) and 32?
64
Let q = 1734 + -1450. What is the least common multiple of 52 and q?
3692
Let l = 52345761241/13719202384 + -1829/978266. Let h = l - 2/1753. Find the common denominator of h and 4/(-14) + (-380)/(-448).
16
Let a = 155490323/348 - 446815. Let h = a - -38/29. What is the common denominator of -113/12 and h?
12
Suppose -12 = -4*k - 4. What is the smallest common multiple of 18 and k?
18
Suppose 0 = -a + 2387 + 20870. Let c = -66817359/2873 + a. Let n = 83349/45968 - c. Calculate the common denominator of 145/12 and n.
48
Let k = -88 - -98. Let i = 142 + -98. Calculate the least common multiple of i and k.
220
What is the least common multiple of 3 and 21/(-21) + 1 + 12?
12
Let f be (-493)/((-15)/9 - -2). Calculate the common denominator of -1 + (-1)/((-8)/42) and 2/14 - f/(-63).
12
Suppose 2*y = -2768 + 234. Let z = -10155/8 - y. Let w = -457/4 + 121. Calculate the common denominator of z and w.
8
What is the common denominator of (-154)/(-1680) - ((-18)/10 + 2) and -79/48?
240
Let i = -7353 + 2382305/324. Find the common denominator of 55/144 and i.
1296
Let s(x) be the first derivative of 13*x**3/3 + x**2/2 + 17. What is the least common multiple of 4 and s(-1)?
12
Find the common denominator of -17/24 and (-9633)/1638 + 11 + -3.
168
Let y = -171492 - -1197720/7. Let v = -1555/4 - y. Calculate the common denominator of (-3)/(-12) + 43/20 and v.
140
Suppose -t + 5*t = -g + 50, 3*t + g = 38. Suppose 0 = 2*p + 2*p + 4*u - 4, 0 = 5*u + 5. Find the common denominator of 5/9 and (7 - -1)*p/t.
9
Let g = -46 - -42. Find the common denominator of ((-3)/g)/(45/(-36)) and 21/11.
55
Let i = -147/74 + 5453/333. Let f = i - 14. Find the common denominator of -41/12 and f.
36
Let g = -78 - -42. Find the common denominator of (-92)/352*2*-2 and (-8)/g + (-239)/(-180).
220
Let f = -882 - -888. Calculate the least common multiple of -1 + 1 + 8/1 and f.
24
Find the common denominator of (-10219)/1144 - (-4 + -4) and -21/40.
520
Suppose 0*z - 5*z + 3273 = -2*w, -3*w - 5*z = 4872. Let u = -110803/68 - w. Find the common denominator of 19/18 and u.
612
Let q = -16327/10 - -1631. What is the common denominator of 27/157 and q?
1570
Let q = 2/371 - 20413/1484. Find the common denominator of q and -139/432.
432
Suppose 4*p - 7 = -4*k + 21, -23 = -3*p - 5*k. Calculate the lowest common multiple of p and 3.
6
Let n be (-64179)/(-88680) - (-3)/4. Let i = -36/739 + n. What is the common denominator of -81/16 and i?
80
Let x = -3739/3528 + 8/441. What is the common denominator of x and 131/456?
456
Calculate the common denominator of 187/30 and ((-1)/(-120))/(63/(-13188)).
90
Calculate the common denominator of (-759)/(-72) + 1/3 and -1/14.
56
Suppose -5*l - 26 = -46. What is the smallest common multiple of (-3)/6 + (-171)/(-6) and l?
28
Let a = 81 + -76. Suppose 6*q - a*q - 8 = 0. Let c(u) = 2*u**2 - 3*u + 1. What is the lowest common multiple of q and c(3)?
40
Calculate the common denominator of (7 + -8)/(0 + (-8)/(-76)) and 2 - 5/4*19.
4
Let w = 104 - 98. Calculate the least common multiple of (-80)/(-14) - w*7/(-147) and 1.
6
Suppose 5*q - 56 = -3*q. Suppose -5*w + q*w - 116 = 0. Calculate the smallest common multiple of w and 16.
464
Suppose 1 = -2*f + 41. Calculate the common denominator of 103/22 and (f/14)/((-12)/(-69)).
154
Let s = 419 - 409. Calculate the smallest common multiple of s and 137.
1370
Let z = 183084/21721 - 1/3103. Calculate the common denominator of -1 + ((-38)/(-20) - 1) and z.
70
Suppose 5*v - 1620 = -10*v. Calculate the smallest common multiple of 27 and v.
108
Let d(r) = -r**2 - 10*r + 5. Let y be d(-8). Suppose 3*x - 3*z - 15 = 0, -5*x + 3*z = -z - y. Calculate the least common multiple of 10 and x.
10
Let s(v) = 2 + 4*v - 3*v + 2 - 3. Let m be s(5). Suppose 3*z - m = 6. Calculate the smallest common multiple of 12 and z.
12
Let p(x) = 264*x**2 - 4*x + 1. What is the lowest common multiple of p(1) and 58?
522
Suppose -2*g + 30 = 6. Suppose 8 = 2*i - g. What is the least common multiple of 12 and i?
60
Let o = 381541/58 - 65792609/9860. Let s = 1551/17 + o. What is the common denominator of 380/12*45/20*(-8)/(-156) and s?
260
Let x = -384 + 388. Suppose 0*q = 5*q. Suppose -x*s - 2 + 62 = q. What is the least common multiple of 6 and s?
30
Let y be (-10 - -1)*(939/315 + -3). Let g = -61/3381 + 164957/67620. Let p = g - y. Find the common denominator of p and -63/20.
20
Let j be (-45 - -2) + (-24)/6. Let n = 79 + j. Suppose 0 = 2*p + 4*r - 28 + 12, -4*p + 2*r = -n. What is the least common multiple of 9 and p?
72
Let j = 7/80 + -433/560. What is the common denominator of ((-245)/(-60) + -4)*194 and j?
210
Let t(q) = -238*q - 11. Let o be t(3). Suppose 0 = -4*z + 2*z - 3*r + 21, -31 = -2*z - 5*r. What is the least common multiple of z and ((-2)/10)/(5/o)?
87
Let l = -37506356/465 + 80659. Find the common denominator of l and 62/135.
4185
Let t = 8 + -4. Suppose t*d - 16 = 3*d. Suppose 5*u - 15 = -n + 61, -4*u + n + 68 = 0. Calculate the least common multiple of u and d.
16
Let v be (4/12)/(1/45). Let r = 55/9 + -196/9. What is the common denominator of (-35)/(-14)*52/v and r?
3
Let k = -23 + 341/16. Let v = -27437/30 - -2762/3. Find the common denominator of v and k.
80
Let o = 27878 + -18204. What is the common denominator of (-8)/14 + o/980 and 11/18?
90
Let i = 1033456/2385 + -3898/9. What is the common denominator of i and 61/35?
1855
Let c = 1823/1488 - 387/124. Find the common denominator of 37/38 and c.
912
Let u be (-1006)/(-48)*(-140)/8. Let z = -1087/3 - u. What is the common denominator of z and -5/6?
48
Let u = -2 + 48. Let b = -14 + u. Suppose -2*q = 42 + b. What is the common denominator of q and 16/3?
3
Let a be (1 - 383460/95866) + 3. Let d = a - 98300/58334461. Let l = -24322/10953 + d. What is the common denominator of -17/5 and l?
45
Let u = -97041/44 + 8805/4. Let o be -2 - 3*(-365)/(-15). Calculate the common denominator of (-95)/o*(-6)/(-8) and u.
220
Let v = -157/46 + -48/23. Find the common denominator of v and 43/62.
62
Let d(n) = -n**2 - 9*n. Let g = -23 - -23. Calculate the lowest common multiple of d(-5) and (g - 6)/(3/(-8)).
80
Let p = 301/183 + -1319/3843. Find the common denominator of 43/77 and p.
693
Suppose 0*b - 4 = -b. Suppose 9*u + 128 = 73*u. Calculate the smallest common multiple of b and u.
4
Let m be 13/(-39) - 10/(-192). Let w = -211/32 + m. What is the common denominator of w and -87/2?
8
Let v = 6 + 0. Suppose -i + 2*k + 8 = 3*i, 4*i - 3*k = 10. What is the smallest common multiple of v and 6/(-4)*(-13 + i)?
18
Let y = 