is the common denominator of 27 and -2 - r/(-44) - a?
11
Let m(q) = q**3 + 3*q**2 - 5*q - 3. Suppose 0 = b + 21*b + 88. Calculate the least common multiple of m(b) and 204.
204
Let a = 10 + 8. Let q = 764 + -748. Suppose 5*g - q + 6 = 0, -4*c - 5*g = -70. Calculate the lowest common multiple of a and c.
90
Let p be 86/4 - (-4 + 33/6). What is the common denominator of 8/p*1485/12 and 21/2?
2
Let y(d) = 3*d + 4. Let i be y(-6). Let k = -25 - i. What is the common denominator of k and (-52)/(-104) + (-252)/20?
10
Let r(n) = n**3 + 22*n**2 + 67*n - 16. What is the least common multiple of r(-16) and 4?
448
Let v = -86 - -541/6. Let p = 8086/99 - 722/9. Find the common denominator of p and v.
66
What is the smallest common multiple of ((-456)/304)/((-6)/3586) + 5/(-10) and 192?
2688
Suppose 283*v = -650*v + 20526. Suppose 2*c - 776 = c. Calculate the smallest common multiple of c and v.
8536
Let n = 38 + -28. Suppose -4*w = -4*o + 9 - 65, w + 11 = -4*o. What is the smallest common multiple of w and n?
90
Let q = 2171 + 1009. Let a be -1*2 - 0 - 23161/q. Let l = 46/5 + a. Calculate the common denominator of 107/12 and l.
12
Let m = -25616 - -1127021/44. Find the common denominator of 167/2046 and m.
4092
Calculate the smallest common multiple of 6480/1728 + 241/4 and 80.
320
Find the common denominator of 22/85 and 40*8/40 - 331/40.
680
Suppose -29258 = -165*u - 6137 + 37929. Calculate the least common multiple of 518 and u.
2590
Suppose 60051 = -4*r - 4*v - 44241, -52141 = 2*r - 3*v. Let l = r + 625823/24. Find the common denominator of l and -3 - ((-150)/44 + 0 + -3).
264
Let o be (1 - 0)/3 + 2066/(-6). Let u be o/39 + 0 + 3. Let m = -707/624 - u. What is the common denominator of 81/4 and m?
16
Suppose 4*n = -4, 0 = -0*j + 4*j + 5*n - 15. Suppose -3*x + 90 = -2*x. Calculate the smallest common multiple of x and (14/6)/(j/(-75)*-5).
630
Suppose 657 = -35*p - 4*p + 891. Calculate the lowest common multiple of p and 152.
456
Suppose -3*o - q - 59 = 0, -4*o - 76 = 5*q - 3*q. Let y be 7 + (-4)/1 + o. Find the common denominator of (y/216)/((-2)/(-596)) and 13/4.
12
Let c(d) = -d**2 + 16*d - 42. Calculate the smallest common multiple of 52 and c(11).
52
Let t = 25 - 6. Let k = t - 83. Let y = -55 - k. Calculate the lowest common multiple of 15 and y.
45
Calculate the lowest common multiple of 2259 and (-342)/(-30) + -12 - 20092/(-20).
9036
Let v be (-3 - (-1092)/54) + 2/(-9). What is the common denominator of -1 + 1 + v/240 and 45/22?
2640
Let t(q) = 2*q**3 - 4*q**2 + 4*q - 3. Let l be t(2). What is the common denominator of 6 + ((-4342)/620 - 84/210) and 49/8 - (-6 + l)?
248
Suppose v - 104 = -72. Suppose 1716*z = 1717*z - 8. What is the least common multiple of v and z?
32
Let h(f) = 166*f - 2568. What is the lowest common multiple of 1664 and h(28)?
8320
What is the smallest common multiple of (-4)/(1 - 0) + -284 + 846 and 1488?
4464
Let n be 0 + (215/(-4) - 0). Let q = 1516 + -1568. Let h = q - n. Calculate the common denominator of h and 13/29.
116
Let b be 1/4 + (-2)/8. Suppose -5*k = -q - 580, 3*k - 3*q - 404 = -68. Suppose b = -v - k + 141. What is the lowest common multiple of v and 20?
120
Let v = -440 + 502. Let u be -1 + (64 - 2) + 3. Let h = u - v. Calculate the lowest common multiple of h and 20.
20
Suppose 0 = -3*l - 2*x + x - 17, l = -x - 7. Let v = l + 7. Let i = 1227 - 1225. What is the lowest common multiple of i and v?
2
What is the common denominator of (-54)/(-256) - 2/(-4) and (20330/(-9975)*15)/(1/((-14)/72))?
1152
Let u(p) = -2*p + 19. Let f be u(5). Find the common denominator of f/3 + -2 + (-97)/21 and 77/15.
105
Let y = 17046 + -22125711/1298. Let n be 1 - -1 - (-10629)/3894. Let s = n + y. What is the common denominator of 25/21 and s?
231
Let v(s) = 22*s + 56. Calculate the lowest common multiple of 305 and v(3).
610
Suppose 5*f + 113970 = 2*w - 123719, w + 2*f - 118867 = 0. Let t = w - 28525547/240. Find the common denominator of t and -9/8.
240
Suppose 3*t + 5*m + 6 = -22, 3*m + 13 = 2*t. Let z = t + 5. Let v = 5 - -23. What is the lowest common multiple of z and v?
28
Let c = -9936/5 - -288168/145. Find the common denominator of c and 53/464.
2320
Let c be 3 + -1 + (144/(-8))/9. Let q = 14999/1210 - -1/242. What is the common denominator of q and ((-387)/(-75))/3 + c?
25
Let j be 3/(-6)*(-5)/((-45)/1788). Let s = -3335/33 - j. Let n = 266 - 833/3. What is the common denominator of s and n?
33
Let t(c) = -c**2 - 11*c - 39. Let v be t(-5). Calculate the smallest common multiple of 36 and 23/1 - v/(-3).
180
Let a = -1301321/102 + 12758. Calculate the common denominator of -61/1299 and a.
44166
Let b = -130921/1795365 - 2/66495. What is the common denominator of 83/99 and b?
891
Suppose -5*q + 11 = -19. Suppose 0*k = -3*k + 114. Suppose 3*f - d = k, 4*f = -0*f - 2*d + 44. Calculate the smallest common multiple of q and f.
12
Let t = -48 - -192. Let q = -20827/14 + 1487. What is the common denominator of q and -3 - (189/t - 2)?
112
Let h(l) = -2*l + 11. Let y be h(4). Suppose y*v + 41 = 89. Suppose j - v = -i + 3*j, 25 = -5*j. Calculate the lowest common multiple of 21 and i.
42
Let k = -4 - -6. Let b = -5068 - -5086. Find the common denominator of k/(-14)*(3 - (-149)/b) and 1/24.
72
Let s = 8897/1170 + -1/234. Let l be ((-4)/12 - 0)*9/638. Let o = -35737/1914 - l. Find the common denominator of s and o.
15
Calculate the common denominator of -99/266 and 2 + ((-21235)/240)/31.
6384
Let i = 327 + -328. Calculate the common denominator of (-161)/(-21)*i/(6/(-27)) and (-11)/(-3)*6/14.
14
Suppose -60*i + 59*i - 3 = 0. Calculate the common denominator of 27/67 and ((-207)/(-2))/(-3) + 1 + i.
134
Let o = -22207/44 + 2005/4. Suppose 3*p + 20064 = -p. Let v = 195649/39 + p. What is the common denominator of v and o?
429
What is the common denominator of 4/(-2) + (-16920)/(-12000) - 2/(-4) and 69/410?
4100
Suppose -74*g = -97*g - 36*g + 17523. What is the smallest common multiple of g and 264?
2376
Suppose -133*s + 442*s = 471534. Calculate the smallest common multiple of 32 and s.
24416
Let o(h) = -17*h - 21. Let y(u) = 273*u + 336. Let z(w) = -49*o(w) - 3*y(w). What is the lowest common multiple of z(0) and 18?
126
Let q(b) = 9*b + 126. Suppose -113*r + 106*r + 252 = 0. What is the lowest common multiple of q(-8) and r?
108
Let z(q) = -3*q**3 + 51*q**2 + q - 5. Suppose 66*v - 560 = 61*v. What is the lowest common multiple of v and z(17)?
336
Suppose -3*p + 1808 = -5*a, -18*p + 19*p = -a - 368. Let v = -250 - a. Calculate the smallest common multiple of 21 and v.
798
Let f = 2/88733 - 3460715/5678912. What is the common denominator of 14/256*(-160 + 156) and f?
64
Let l = -4756/11 - -566294/1309. Find the common denominator of -6/425 and l.
2975
Find the common denominator of 13/25 and (8/((-46984)/(-427)))/((12 - 11)*5).
20975
Let t be 2 - (0 - (3 + -2)). Suppose 2*u - 7 = -t*m, -34 = 2*u - 6*u - 2*m. Calculate the smallest common multiple of u and 16 + 4/(-3 + (-7)/(-1)) + -6.
11
Calculate the lowest common multiple of (273/52)/((-3)/(-12)) and 1419.
9933
Suppose -2*y + 4*y + r - 782 = 0, 3*y = -r + 1173. What is the lowest common multiple of y and 1?
391
Suppose -10*s + 3*u + 11862 = -6*s, 4*s - 11934 = -9*u. Calculate the smallest common multiple of s and 90.
2970
Let y(s) = -4*s - 21. Let i be y(-18). Let z(n) = n**3 - 5*n**2 - 10*n - 12. Let l be z(7). Suppose 7*w + l = i. What is the least common multiple of 5 and w?
5
Let o(d) = -d**2 - 16*d + 16. Let f be o(-17). Let x be (0 - (0 - f))*(-17 - 0). Suppose -19 + x = -t. What is the lowest common multiple of t and 7?
14
Suppose 4*b - 7*b + 6 = 0. Suppose c + 3*c = -b*p + 18, 5*p - c = 34. Suppose p*o = 9*o - 68. What is the least common multiple of o and 16?
272
Let r be 4 + 5380/(-2)*(-1)/2. Suppose -a - 12*v + 446 = -8*v, 3*a = -v + r. Calculate the least common multiple of 18 and a.
450
Let o = 3854912/406419 + 22/10421. Let y = 2/28485 + -7463096/370305. Let g = y + o. Find the common denominator of g and -17/9.
9
Let v = 8727/23275 + -308/475. Find the common denominator of v and 123/490.
490
Let q(h) = 64*h**2 + 7*h + 109. What is the lowest common multiple of 18 and q(4)?
2322
Let m(k) = -k**3 + 9*k**2 - 13*k - 5. Let p be m(7). Suppose -p*g = 0, -5*u - 16 + 196 =