30) + 9/(-15) + (-2445)/(-1350).
270
Let p(c) = 3*c**2 - 11*c + 36. Calculate the smallest common multiple of p(3) and 300.
300
Let v be (-7695)/(-2)*(-5)/(-30). Let y be (-1294)/6*6/(-2). Let s = y - v. Find the common denominator of 49/8 and s.
8
Let z(k) = 209*k - 961. Calculate the least common multiple of 5 and z(13).
8780
Let l be (-44)/2*(1 - 3). Suppose -5*t = -3*t - l. Calculate the least common multiple of -4 - (2/(-25) + ((-5968)/400 - 5)) and t.
176
Let l be 242/(-214522)*(-43582)/36. Let x = -95/398 + l. Calculate the common denominator of x and -37/99.
693
Suppose -2*l + s = -1, 2*s - 2 = 4. Let b = -173/2 - -4661/54. Find the common denominator of b and 150/72 + l/6.
108
Suppose j - 1146 = -3*d, 0 = -45*d + 42*d - 9*j + 1098. What is the smallest common multiple of d and 336?
2688
Let b = 852/17 + -32117/612. What is the common denominator of b and (24/64)/((-4)/21)?
288
Let z = 14 - 14. Suppose z = -5*l - 5 + 80. What is the common denominator of (2 - (-72)/(-5))/((-16)/l) and 49/76?
152
Let k = -2592 - -2922. Calculate the smallest common multiple of 210 and k.
2310
Calculate the least common multiple of 8*(441/(-189) + (-37)/(-12)) and 9.
18
Let c = -226/9 - -3166/117. Let n = -10/169 - 6869/1014. What is the common denominator of n and c?
78
Suppose 6*s - 5*s = -2*n + 79, 4*n + 73 = s. Suppose 5*z = 4*j - 3*j - s, -j = 2*z - 63. Let w = j + -62. What is the smallest common multiple of 3 and w?
15
Suppose -l - 169 = -h - 0*l, -2*h + 329 = l. Suppose -a - h = -3*d - 3*a, -4*d + 223 = 3*a. What is the smallest common multiple of 16 and d?
208
Find the common denominator of (-1)/(-6)*2376/(-1323) and 37/147.
147
Let i(k) = -k**2 + 11*k - 10. Let d be i(10). Suppose -5*a - 2*y + 23 = d, -2*a - 28 + 22 = -3*y. Calculate the smallest common multiple of a and 39.
39
Suppose 3*g = -2*g - w - 25, g + 5*w = -5. Let a(y) = -y**3 - 2*y**2 + y + 2. Calculate the smallest common multiple of a(g) and (-190)/665 + 256/14.
72
Let w = -13 + 16. Suppose -3*a + 25 = -s, -w*a + 35 = a - s. Suppose a*j - 8*j = 40. Calculate the lowest common multiple of j and 2.
20
Let c = 379601/16 - 23717. Let s = 541/48 + c. Let b = 1087 - 3223/3. Find the common denominator of s and b.
3
Suppose -5*r - o = -11 - 6, r - 3*o = -3. Let p be 2 - (-3 - -14)*-1. Suppose 0 = 3*q - p + 4. Calculate the smallest common multiple of q and r.
3
Find the common denominator of 53/640 and ((-10)/200)/((-2)/(-116)).
640
Suppose 90 = -3*z + 3*r, 4*r + 134 + 18 = -4*z. Calculate the common denominator of -83/20 and (z/(-30))/(52/39).
20
Let a = -3308 - -3329. What is the least common multiple of a and 1029?
1029
Suppose 5*d - 5*u - 5 = 0, 0 = -3*d - d - 3*u + 25. Suppose 3*o - 3*a - 2*a = 37, -60 = -4*o - d*a. Find the common denominator of 84/15*o/(-16) and -71/20.
20
Suppose -5*u + 7*u - 5*y + 1073 = 0, -4*y = -5*u - 2640. Find the common denominator of (u/30)/(240/50) and -31/36.
36
Let a = -210173/781275820 - -3/92404. Let y = -90960490216306/18728073551635 - 142/316432771. Let d = a + y. Find the common denominator of d and 7/4.
28
Suppose -424*y + 31*y + 14074 = 61*y. Calculate the lowest common multiple of y and 2604.
2604
Let d = 1/13906 + 434561/20859. Suppose 3*h = -2*n - 0*h - 156, -5*h = -3*n - 253. What is the common denominator of d and 6/(-45) - n*(-3)/(-60)?
12
Let t = 622 + -326. Let c = -657 + t. Let u = 8809/24 + c. What is the common denominator of u and -97/24?
24
Let m = -9 - -20. Let l(f) = -f**2 + 9*f - 12. Calculate the least common multiple of m and l(5).
88
Let g(r) = -r**2 - 25*r + 76. Let o be g(24). Calculate the common denominator of 52/17 and (-58)/(-319) + (-1362)/o.
850
Let m(f) = -f**3 - 6*f**2 - 4*f + 11. Let s = -10 + 5. Let g be m(s). Suppose -g*n = -7*n + 8. Calculate the lowest common multiple of n and 4.
8
Let f = 30802 - 27122. Calculate the smallest common multiple of f and 256.
29440
Let i = -3173 + 18953/6. What is the common denominator of (-150)/36 - 3/1 and i?
6
Suppose -21*l + 16*l = 5, -4*f + 7 = l. Suppose 2*a - 3*a - 113 = 0. Let d = -78 - a. Calculate the least common multiple of d and f.
70
Suppose 5*p - 16 + 36 = 3*a, -3*a - p = 4. Calculate the lowest common multiple of (24/(-7) + a)/((-86)/1505) and 36.
180
Suppose 15*i + 82 - 1542 - 250 = 0. What is the least common multiple of i and 2850?
2850
Let p = -88267/217566 + 6/1343. What is the common denominator of p and 74/33?
1782
Let h be 1*23 - (7 + -10). Let k = -208 - -217. Calculate the smallest common multiple of k and (2 - h)/((-2)/3).
36
Let d = 416 - 31. Let o = 457 - d. Calculate the smallest common multiple of 8 and o.
72
Let r(w) = -w**2 - 29*w - 80. What is the least common multiple of r(-25) and 100?
100
Let t(b) = 28*b**3 + 3*b**2 - 2*b. Let n be t(1). Let m = 8 + 5. Suppose m = 4*r + d, -4*r + 2*d + n = 7. What is the least common multiple of 12 and r?
12
Let r(f) = 5*f + 1. Let z be r(7). Suppose 2*d + 2*c = z, -2*d + 60 = 3*d - c. Calculate the common denominator of -73/10 and (-432)/64*(1 - 15/d).
130
Let w be (-3)/2*(-16)/6. Suppose -w*p - 3 + 43 = 0. What is the lowest common multiple of (1 - (-827)/33) + 590/(-9735) and p?
130
Suppose 0*o = o - 20. Let p = -101 + 16. Let x = 91 + p. What is the least common multiple of x and o?
60
Calculate the common denominator of -55*(-1 - (-92)/96) and 10/4*11/(528/(-168)).
24
Let z = -1/72032 + -414139/3241440. What is the common denominator of z and 59/30?
180
Let l be 314 - (-1 - 7/(-7)). Suppose 4*j - l = -5*g, 3*j = -33*g + 30*g + 186. Calculate the least common multiple of g and 110.
330
Let t = 54465/6728 + 25/841. What is the common denominator of (-3)/12 + 35/(-6) and t?
24
What is the least common multiple of 11/99 - (-8)/((-432)/(-5934)) and 40?
440
Let q be -2 + 6 - (10 - 3). What is the common denominator of -61/87 and (-49)/q + (-8 - (-5 + -3))?
87
Let x be (-10 - -3)/(9/(-1458)). Let o = 6847/6 - x. What is the common denominator of 20/(-24)*3/(-9) and o?
18
Let k = 31 + -35. Let a be 537111/(-180) - (-1)/k. Let q = a - -2975. Calculate the common denominator of 13/10 and q.
10
Let s = -114181 - -799277/7. Find the common denominator of s and 46/(-20)*(-16)/(-6).
105
Let k(l) = -6*l**3 - 3*l**2 - 5*l - 2. What is the least common multiple of 242 and k(-2)?
484
What is the smallest common multiple of 884 and (-9 - -1)/(-1) - (-881256)/1006?
884
Suppose -3*v + 7832 = 4*k, 0 = -16*v + 18*v - k - 5236. Calculate the least common multiple of 436 and v.
2616
Suppose 3*y - y = -4*h - 4, 2*h + 5*y + 18 = 0. Suppose -h = -d + 3. Let j = 1303 + -1289. Calculate the smallest common multiple of j and d.
28
Let a(c) = -4*c**2 + 2*c - 1. Let m be a(-2). Let w = 39 + m. Calculate the smallest common multiple of w and 0 + -3 + -15*(6 + -7).
36
Let g be ((-760)/304)/(1/4*-5). Calculate the common denominator of g/4 + 1092/(-3248) and -133/24.
696
Let x = -9683 + 9881. Calculate the lowest common multiple of x and 143.
2574
Let i(z) = -z**2 + 20*z + 29. Let d be i(17). Let j(t) = -168*t + 8 + d*t + 83*t. Calculate the smallest common multiple of j(0) and 4.
8
Suppose 9*m - 68 - 247 = 0. Suppose 5*j + 5*x - m = 0, 3*j - 3*x - 3 = 6. What is the common denominator of j/2 - 2 - (-85)/(-4) and -77/4?
4
Let g(z) = 4*z - 6*z + z**2 + 6*z + 11. Calculate the lowest common multiple of 7 and g(-3).
56
Let i(w) = w**3 + 48*w**2 + 115*w - 4234. Suppose 4*n - 7*n = 2*o - 66, 4*o + 12 = 0. What is the smallest common multiple of n and i(-43)?
264
Let k = 3512 - 3424. What is the least common multiple of k and 312?
3432
Let y(o) be the third derivative of 31*o**4/24 + 34*o**3/3 + 214*o**2 + 2*o. Calculate the smallest common multiple of 22 and y(-2).
66
Let m be 5/(-5)*(0 + 0). Suppose 4*i + 4*g - 452 = -m*i, -334 = -3*i - 2*g. What is the common denominator of 50/27 and ((-51)/i)/((-4)/((-128)/(-12)))?
27
Let s = -183/4 + 161/3. What is the common denominator of s and 29/92?
276
Let u be ((-3)/236)/(15/(-230)*1). Let x = 3239/1180 - u. Calculate the common denominator of 111/44 and x.
220
Let c = 2801 - 25175/9. Calculate the common denominator of c and (-24)/92*((-4775)/250 - -18).
1035
Calculate the common denominator of 9/21 + (-360093)/796166 and -41/8.
15688
Suppose -99*n + 144331 - 82644 + 96317 = 0. Calculate the least 