979. Let p be 282*(16/12 - 1). Find the common denominator of 1/2 + p/(-108) and k.
27
Calculate the common denominator of -43/84 and (-12)/48*230/5460.
2184
Let j = 1402/5 - 274. Find the common denominator of (-17)/(-165) - (-63)/((-10395)/(-22)) and j.
55
Find the common denominator of -91/22 and 24 + -6 - (-791225)/(-44050).
19382
Let p(x) = x**3 + 26*x**2 + 34*x + 92. Let l be p(-24). Let z = -372 + l. Calculate the lowest common multiple of z and 88.
616
Let v(q) = -q**3 + 8*q**2 + 3. Let o be v(8). Suppose 4*j - 64 = -5*g + g, -4*j = -5*g + 71. Let m = o + g. What is the lowest common multiple of m and 18?
18
Suppose 15253*c - 15260*c + 4263 = 0. What is the least common multiple of 870 and c?
6090
Let i = 7427 + -3074891/414. What is the common denominator of 13/99 and i?
4554
Let q(t) = -t**3 - t**2 + 3*t - 6. Let z be q(-3). Suppose -4*c + z = -9. Calculate the lowest common multiple of 24 and (c/3 - -15)/2.
24
Suppose 5*r - 2*r - 42 = 0. Let b(g) = g + 7. Let x be b(-3). Suppose -y - 19 = 4*u - 80, -x*y - 36 = -4*u. Calculate the lowest common multiple of u and r.
14
What is the common denominator of 388/(-80) + (-924)/(-153) + 14/(-357) and (-501)/(-20)*2/(-9)?
60
Let r = 10411/30 + -341. Calculate the common denominator of -37/140 and r.
420
Let m = -1217/711 + 23/316. What is the common denominator of m and 169/840?
2520
Let m = 31334 - 31274. What is the smallest common multiple of 330 and m?
660
Let l(v) = v**3 - 17*v**2 - 2*v - 228. Calculate the lowest common multiple of 54 and l(18).
540
Suppose -2*d + 7*g - 11*g - 1258 = 0, 0 = 3*d - 2*g + 1887. Let y = 649 + d. Calculate the least common multiple of y and 20.
20
Let n(u) = -u**3 - 7*u**2 - 5*u - 10. Let h be n(-7). Suppose h = 9*c - 155. Calculate the smallest common multiple of c and 320.
320
Let u = 1181572/45 + -26256. Calculate the common denominator of u and ((-231)/(-60) + -4)/((-27)/(-912)*-3).
45
Let l(u) = u**3 + 6*u**2 - 4*u - 21. Let k be l(-6). Suppose 13*g + k*g = 80. Suppose g*a = -10 + 30. What is the lowest common multiple of a and 2?
4
Suppose -7388 - 3271 - 1080 = -273*u. Calculate the least common multiple of u and 66.
2838
Suppose 2*a + 5*g = a + 24, -a = 2*g - 12. Suppose 0*l - a*l = -4672. Let b = 10498/9 - l. Find the common denominator of b and -187/30.
90
Suppose 124 = 197*b - 2399 - 235. Suppose -3*j = -0*j - 3. Calculate the least common multiple of b and (5 - -2)/(j/2).
14
Suppose -37*d = -31*d - 6. Calculate the lowest common multiple of 2 and d.
2
What is the common denominator of -43/552 and 0 - 1/(-1)*4085/(-7912)?
552
Let n be (-1 - -435)/((-40)/(-60)). Calculate the common denominator of 12/9 + 0 - n/36 and 10/45 + (-19)/3.
36
Let o = 2100571771/14714082 + -6/272483. Let k = -287/2 + o. Let q = -514412/33 + 15590. Calculate the common denominator of k and q.
297
Let p be (-12)/5*(-50)/(-20). Calculate the smallest common multiple of 16/(-24) + (-70)/p and 44.
44
Let g(n) = -7*n - 56. Let x be g(-8). Suppose 0 = -4*l - 0*l + 4*u + 64, x = -u + 4. What is the lowest common multiple of 32 and l?
160
Let y = -94489/1199 - -870/11. Find the common denominator of y and 49/8.
872
Let w = -248653 - -180521963/726. Find the common denominator of 53/66 and w.
726
Let j = 127617 + -255139/2. What is the common denominator of (-86)/588 - 2/6 and j?
98
Let f be (4/6)/(7/126). Suppose -f*k = -118 + 34. Calculate the smallest common multiple of 14 and k.
14
Let g(i) = 9*i**2 + 31*i - 98. Calculate the least common multiple of g(3) and 28.
532
Calculate the least common multiple of 347 and (17 - -2446 - 15) + -19.
2429
Let g be 64173/(-16041) + (-4 - -8). Let u = 390259/128328 - g. What is the common denominator of 107/6 and u?
24
Suppose 478*a = -469*a + 946*a + 216. What is the smallest common multiple of 270 and a?
1080
Suppose -m - 443 = x, -3*x - 1843 = 5*m + 370. Find the common denominator of -19/9 and 0 + m/(-1596) - 122/427.
342
Let g = -1/12705 + 98179/50820. Find the common denominator of g and -29/1198.
26356
Find the common denominator of ((-11)/(-66))/(9/45) and -77/758.
2274
Let x = -32857 + 32862. Suppose -5*q = -2*i - 219, 3*i + 81 = -0*q + 2*q. Calculate the lowest common multiple of x and q.
45
Let a be 1*((-10)/2 - (9 + 225)). Let m = -131 - a. Calculate the least common multiple of m and 66.
1188
Let n(t) = -t - 10. Let v be n(-4). Let l be 2 + v/((-60)/11245). Let f = l + -1106. Find the common denominator of f and -13.
2
Suppose -3*v = 4*b - 55 - 27, 3*b - 63 = -3*v. Calculate the lowest common multiple of 38 and b.
38
Let a be -1 - 0*1/3. Let u = 23 - 19. Calculate the common denominator of 47/4 and a/u + 1 + -2.
4
Let f be (-20)/(-16)*(60654/7335 + 0). Let m = -1/326 + f. What is the common denominator of m and (79/(-18))/((-2)/3)?
12
Let y be (-100)/122*370/(-16). Let s = -2/14135 - -254552/862235. Let a = s + y. What is the common denominator of -47/22 and a?
44
Suppose -302720 = 5*i - 5*k, 4*i + 97*k - 98*k = -242191. Let l = i - -15863809/262. What is the common denominator of l and -23/3?
786
Let j = 172717/20 - 8638. Let m = 134 + -134. What is the common denominator of (7140/(-56))/((m + -6)/1) and j?
20
Let m = 343 - 1361/4. Suppose 0 = -r + z + 225 - 31, -2*z - 198 = -r. Let p = r - 7599/40. What is the common denominator of p and m?
40
Suppose 0 = -5*d - v + 491, -2*v = 8*d - 7*v - 812. Suppose -4*o = -7*o + 171. What is the smallest common multiple of d and o?
1881
Let n be -46 + -8 + (-2 - (0 - 7)). Find the common denominator of (1 + n/231)/((-14)/9) and -5/77.
77
Suppose f - 9 = v, -4*f - 2*v = -5*f + 10. Let s(n) = -n + 13. Let o(p) = p - 1. Let m(x) = -3*o(x) - s(x). What is the smallest common multiple of f and m(-7)?
8
Let p = 307 + -455. Let i = p + 202. Calculate the smallest common multiple of i and 30.
270
Let f = -1063 + 1023. Find the common denominator of 6/10 + (-1796)/f and -10/117.
234
Let i = -429 - -2952. Suppose -3*d - i = 28494. Let c = d - -206691/20. Calculate the common denominator of c and -101/14.
140
Suppose -5*y - 75 = -2*d, 4*d = -16*y + 13*y + 111. What is the lowest common multiple of d and 720?
720
Let y(t) = -22*t - 6. Let j(w) = -15*w - 4. Let n(i) = 7*j(i) - 5*y(i). Let h = -12 + 14. What is the least common multiple of n(4) and h?
22
Suppose -2*z + 357 + 77 = 0. Let c = 99 - z. Let o = -111 - c. What is the least common multiple of o and 22?
154
Let k(o) = -6*o**3 - 6*o**2 + o - 1. Let x be k(-5). Suppose -9*m = -0*m - x. Find the common denominator of (604/m - 2/(-11)) + -1 and 23/5.
15
Let g = 59 + -55. Suppose -26 + 76 = g*k - 5*l, 2*l = -3*k + 26. What is the least common multiple of 52/9 - 4/(-18) and k?
30
Let i(a) = -a**3 - 8*a**2 - 4*a - 5. Let p be i(-3). Let k = p - -66. Let o = 34 - k. Calculate the least common multiple of o and 3.
6
Let k be (-16 + 15)/(2/(-8)). Let g be 0 + 1185/(-4708) + 1/k. Let l = g + -175349/14124. Calculate the common denominator of 45/8 and l.
24
Suppose 0 = 29*g - 24*g - 45. Suppose 5*c = 5*l + 15, 2*l + 0*c - c = -g. What is the smallest common multiple of 2 and 15/20*(-32)/l?
4
Let g = 2094 + -1794. Calculate the lowest common multiple of 825 and g.
3300
Let i = 1605107/48 - 33438. Let v = -341/41 + 6304/615. Calculate the common denominator of i and v.
240
Let j(t) = -t**3 + 10*t**2 + 13*t + 10. Let x be j(11). Find the common denominator of 6 + 3*(-114)/x and 41/44.
176
Let q = 8568 + -2287652/267. Find the common denominator of 89/8 and q.
2136
Let l be (2816/(-104))/(360/68). Let p = l + 2/585. Calculate the common denominator of ((-3)/(-2))/((-12)/24) - -17 and p.
9
What is the common denominator of 41/405 and 1 - ((-6)/(-4))/(1215/948)?
405
Let j = 51/35 - -6731/665. Let m = j + 256159/228. Let v = m - 1136. What is the common denominator of 37/48 and v?
48
Let n be 7 - 12 - (-3242)/(-28) - 1. Let j = n + 590/7. Find the common denominator of j and 13/132.
132
Suppose -2*q + 1296 = 6*q. What is the common denominator of (8/60)/(8/1370) and (888/q)/4*-6?
18
Let i be 4*-1 - (-2031 - (1 + 1)). Let f = 885 - i. What is the common denominator of (-8)/(-6)*759/f and -101/16?
208
Suppose -a - 45 = -5*x - 16, -4*x + 3*a = -10. What is the lowest common multiple of 2659 and x?
18613
Let z = 8038897/2184 + 1685/312. Let d = 3678 - z. What is t