 and (-453)/144 + s - 1/(-3).
48
Calculate the common denominator of 2/7*(-19)/(-6) and 18386/(-609) - -27 - ((-33)/9 - -4).
21
Suppose 38 + 87 = t + 5*k, 2*t = -2*k + 242. What is the smallest common multiple of (1/3)/((-3)/t)*-3 and 4?
40
Let t = 2/118963 + -7971319/47466237. Calculate the common denominator of t and 85/28.
1596
Let a = -1099/66 + 262/11. Calculate the common denominator of -87/820 and a.
2460
Let q(g) = g**2 - 4*g - 10. Let i be q(-4). Suppose i*z - 288 = 240. What is the smallest common multiple of 8 and z?
24
Find the common denominator of (-44)/(-70)*((-84)/(-231) + 1775/(-5940)) and -23/108.
540
Let u = 58345235499/16014812 - -17/727946. Let q = 3644 - u. What is the common denominator of -77/36 and q?
396
Let v = -73 - -81. Let a(h) = 2*h**3 - 24*h**2 + 8*h - 82. Calculate the least common multiple of v and a(12).
56
Let f = 12010 + -216059/18. What is the common denominator of -119/5316 and f?
15948
Let z = 9/12421 - -977929/4595770. What is the common denominator of z and 13/15?
1110
Let d = -2 - -3. Let n(l) = -13*l**2 - 100*l + 364. What is the lowest common multiple of d and n(-10)?
64
Suppose 9*b - 17 - 46 = 0. Let l(z) = 2*z**2 - 8*z + 12. Let a be l(b). Suppose 5*k = 8*k - a. Calculate the least common multiple of 27 and k.
54
Let a(j) = -j**3 - 5*j**2 + 2*j + 4. Let m be a(-5). Let r(w) = -w**2 - 6*w + 4. What is the smallest common multiple of 7 and r(m)?
28
Let n = 282 - 314. Calculate the lowest common multiple of n/5*25/(-10) and 9 + -3 - -1*2.
16
Let h = -114535/4 + 28983. Let r = h + -4021/12. Calculate the common denominator of -33/256 and r.
768
Let v(g) = 2*g**2 + 56*g + 42. Let i be v(-31). Let s = -138 + i. What is the lowest common multiple of s and 50?
450
Let y be (-1 + (-10490)/(-10484))/((-21)/28). Let d = y - -34109/47178. What is the common denominator of d and (6/(-32))/(-3 + 43/14)?
72
Calculate the common denominator of 494/1300*24/32*(-2)/(-3) and -19/750.
1500
Suppose -2035*a + 2042*a = 1071. Let q(w) = w**3 - 2*w**2 - w - 4. What is the least common multiple of q(4) and a?
1224
Suppose -3*h + 51 = 33. Let x(m) = -2*m - 6. What is the smallest common multiple of h and x(-4)?
6
Let h be 2/2 - (-93947)/105. Suppose -1511 = 5*o + 2974. Let s = o + h. What is the common denominator of -1/6 and s?
30
Let z = 14/747 + -5993/200196. Let k = z - 1977/2948. What is the common denominator of 10/3 and k?
66
Let o(y) = -117*y**2 - 4 + 13*y + 1 + 118*y**2. Let s be o(-13). What is the common denominator of 99/14 and ((-2)/s - (-427)/(-42))/(-2)?
28
Suppose 0 = -4*b + 49 + 43. Suppose 4*u + 132 = 5*l, 2*l + 2*u - b = 37. Calculate the lowest common multiple of 18 and l.
252
Suppose -6 = -5*a + 19. Suppose 0 = -0*n + 3*n - l + 86, -3*l + 146 = -a*n. Calculate the least common multiple of 8/n - (-233)/7 and 30.
330
Let y be ((-252)/7)/9 + 9. Suppose 0 = -y*t + 187 + 578. Calculate the lowest common multiple of 51 and t.
153
Let i = 58699/61880 + 53/1768. Find the common denominator of 51/16 and i.
560
Let t(b) = -11*b - 22. Let k be t(-4). What is the common denominator of 23/2 and ((-91)/k)/7 + 2?
22
Calculate the common denominator of (25/(-32))/(2465/510) and 101/80.
2320
Suppose -n + 398 = -0*n - 4*c, 0 = -2*c + 2. Suppose -3*b + 5*q = -321, -5*b - 2*q = -b - n. Calculate the smallest common multiple of 18 and b.
306
Suppose -96*i + 100*i + 228 = 0. Find the common denominator of (i/30)/(3/12) and -40/47.
235
Let u = -446 - -510. Suppose 50 = 2*x + 3*x. Calculate the smallest common multiple of x and u.
320
Let l be (-4)/(-28) + (-1635)/(-21). Let a = l - 8. Calculate the common denominator of 1/5 + 41/a and -47/2.
14
Let p = -900593/780081 - -232/201. Let w = p - -756809/54334. Let g = w - 3/7. What is the common denominator of 10/9 and g?
18
Let f = 31 - 30. Suppose -13 = -6*p - f. Suppose -p*i = -5*r - 22, 0*i - 5*i = 5*r - 20. Calculate the smallest common multiple of 28 and i.
84
Let x = 6049 + -3419. Let t(r) = -r**3 + 8*r**2 + 8*r + 11. Let q be t(9). What is the common denominator of q/6 - x/(-120) and 53/5?
20
Suppose 0*m = -4*m - 16. What is the common denominator of (10/3)/(0 - m) and (-162 + 140)*((-204)/(-144))/17?
6
Let g = 53 + -51. Calculate the common denominator of (g*2/(-8))/(27/(-12)) and -3.
9
Suppose n - 6 = -0*n. What is the common denominator of ((-290)/n - 2)/2 and -1 + 635/(-62)*3/(-15)?
186
Let f(c) = c**2 + 2*c + 9. Let g be f(-5). Let w be (-1236)/g + (-2)/4. Calculate the common denominator of 37/20 and ((-3)/32)/((-13)/w).
40
Let w = -25 + 32. Calculate the smallest common multiple of 8/12*68 + (-4)/12 and w.
315
Let t = -14579/16687 + 28/407. Calculate the common denominator of -139/96 and t.
3936
Suppose 0 = -3*d + 5*d - 8. Suppose -8*p - 1476 = -3*p + d*f, 3*f = 5*p + 1483. Let h = p + 5921/20. Calculate the common denominator of h and 95/16.
80
Let a = 6571 + -6567. Suppose -5*k - 3*y + 14 = 0, -5*k + 2*y + 2*y + 28 = 0. What is the lowest common multiple of k and a?
4
Suppose 0 = -5*w, -4*n + 15*w = 14*w - 11280. Calculate the least common multiple of n and 150.
14100
Let s be (-4)/(-6) - (5 - (-1664)/12). Let b(n) = -84*n - 1. Let u be b(1). Let o = u - s. What is the lowest common multiple of o and 4?
116
Suppose 14 = -5*n + 14. Suppose n = 6*v - 38 + 20. What is the least common multiple of v and 24?
24
Let l = 6 + -6. Suppose l = c + 2*c - 6. Suppose -1016*g + 1009*g + 112 = 0. Calculate the smallest common multiple of g and c.
16
Let r be -2 + 2 + -2 + (-23214)/(-3). Let o = r + -3560. Let f = o + -83431/20. Calculate the common denominator of f and -7/6.
60
Let x = -78/535 + -6351/2675. Calculate the common denominator of x and ((-1184)/128)/(1015/58).
350
Let n = 530 + -1558/3. What is the common denominator of -14 - -2 - (23 + (-6064)/144) and n?
9
Let z be (-29737938060)/1965600 + 8/(-26). Let x = 75643/5 + z. Let i = 2311/469 + -19/134. Find the common denominator of x and i.
168
Let o(u) = -5*u**2 + 12*u - 6. Let g be o(7). Let x = g - -170. What is the lowest common multiple of x and 33?
33
Let n = 36521/78 + -5790/13. Find the common denominator of 121/186 and n.
186
Let r = 487605/1735228 + -98/349. Let a = 98199/9944 - r. What is the common denominator of a and 19/180?
360
Let w(x) = x**2 - 5*x + 5. What is the smallest common multiple of w(-3) and 58?
58
Let q be -1 + -1 + 1 - -3. Calculate the lowest common multiple of (2/q + 5)/1 and (-15475)/1238*((-6)/(-75))/((-2)/20).
30
Let r = -11398871/119340886 + -1/102703. What is the common denominator of -19/42 and r?
3486
Let i = -45735 - -731731/16. Find the common denominator of i and (-47)/60 + -2 + 3.
240
Suppose -588 = 10*x - 571 - 1097. What is the least common multiple of x and 54?
108
Suppose 5*h + 18 - 83 = 0. Suppose -2*y = 5*b + 15, 3*y = -2 - h. Find the common denominator of (8/(-66) + b)*-3 and 49/6.
66
Let v = -105682 + 39208055/371. Find the common denominator of 39/583 and v.
4081
Let g(q) = 11*q - 3. Let p be g(1). Suppose s + 180 = -p*s. What is the lowest common multiple of 12 and 10*3/12*(-48)/s?
12
Let b = -21 + 30. Let q be 12/60 + (54351/15)/3. Suppose 0 = -m - 1202 + q. What is the lowest common multiple of b and m?
18
Let m = 299 + -251. Suppose 4*n - 2*u + m = 7*n, -16 = -2*n + 4*u. What is the least common multiple of n and 20?
140
Let i(x) = 6*x**3 + x**2 - 1. Let h be i(-1). Let q = 0 - h. Suppose -219 - 4019 = -269*t + 333 + 271. Calculate the least common multiple of q and t.
18
Let n = 1/2538030 - 15369309/323175820. Find the common denominator of n and -113/40.
22920
Calculate the common denominator of (-7272)/48*(-3)/6615 and -23/1260.
8820
Let y be 10/(-3)*(-81)/(-54). Calculate the common denominator of -93/8 and (y - -1)*243/(-936).
104
Find the common denominator of 730/8*(-9 - 11869/(-1320)) and -83/64.
192
Suppose -24 = -24*d + 96. Let v be 2*(-1)/2 - -4. Suppose -3*s = -3*z + 9, -6 = -4*z + v*s - d*s. Calculate the least common multiple of z and 5.
10
Let k = -8388/17 - -2434339/4930. What is the common denominator of k and -113/90?
2610
Let m be (-3*2108/(-8))/(3/(-8)). Let a = 234002/111 + m. Let q = -4339/666 + a. Calculate the common denominator of q and -91/4.
36
Calculate the common denominator of ((-4)/(-10))/((-147593)/(-8695) - 17) and 46/999.
999