se -n + 12 = 2*n, -d - 4*n + 31 = 0. What is the common denominator of -31/7 and 254/42 - 5/d?
7
Let a = 825/2 - 3349/8. Let o be (-1236595)/(-46)*(-2)/20. Let c = -2707 - o. Find the common denominator of a and c.
8
Let v = 555/16 + -30221/880. Calculate the common denominator of v and -12/25.
275
Let s = -35 - -44. Calculate the least common multiple of s and 63.
63
Suppose 0 = 7*s - 11*s - 24. Calculate the common denominator of 19/30 and (-89)/s + 4 - 5.
30
Let a = 21054773/10 + -2108898. Let u = 3411 + a. What is the common denominator of -57/10 and u?
10
Let x = -278 - -291. Calculate the least common multiple of 16 and x.
208
Let t = -7 + 11. Let a(n) = 10*n - 40. Calculate the lowest common multiple of (-2)/t*2 + 3 and a(6).
20
Let z = 2 - -10. Let x be (z/(-48))/(1/4). Let c = x - -7. What is the smallest common multiple of c and 4?
12
Let o = 1236426623/536 + -2306772. Let a = o - 31/67. Let u = 18587/4890 - 1/978. Find the common denominator of u and a.
40
Let r(x) = -9 - x**2 + 5*x - 9*x - 8*x. What is the least common multiple of r(-10) and 7?
77
Let c = 1020 + -1000. What is the lowest common multiple of c and 80?
80
Suppose l + 11 = 4*x - 61, 2*x = -5*l + 36. Let n = x - 37. What is the common denominator of n and (-816)/(-210) + (-3)/5?
7
Let i(h) = -2*h + 7. Let s be (-10)/(-15) + (-2)/3. Suppose -12 = -4*l - s*l. Calculate the smallest common multiple of 7 and i(l).
7
Let w = -843 + 846. What is the lowest common multiple of w and 192?
192
Suppose 48*y = 144*y - 4224. Calculate the least common multiple of y and 36.
396
Find the common denominator of -59/50 and 101/115 + 0 - 2/2.
1150
Let c = -15130/7 - -2158. Let i = 59832 + -1076129/18. Let m = -275/6 + i. Find the common denominator of m and c.
63
Let t = -303587/204180 + 12/3403. Find the common denominator of 109/105 and t.
420
Calculate the common denominator of -101/195 and 9 + 408/(-20) + -1.
195
Suppose 0 = 10*h + 175 - 1145. What is the smallest common multiple of h and 12?
1164
Let b = -1340606 + 2209318753/1648. Find the common denominator of 31/18 and b.
14832
Calculate the least common multiple of 20 and (-7)/(-2) + 4619/62.
780
Suppose 3*x = -706 + 712. Let j = -10 + 16. What is the least common multiple of j and x?
6
Let z = -47 - -141. Calculate the lowest common multiple of 2 and z.
94
Let c be (-34)/(-5)*(-30)/8. Let y = c - -33. What is the common denominator of -29/16 and y?
16
Let h = -41696453/168 - -248194. Calculate the common denominator of h and -55/16.
336
Let q = -137 - -141. Suppose -9*h - q = -13*h. What is the smallest common multiple of h and 19?
19
Let n = 5/14704 - -139103/1720368. What is the common denominator of -76/63 and n?
1638
Let k = 6810/11 - 55547/88. Suppose 5*u = -4*t + 13 + 217, 4*u - 205 = t. Calculate the common denominator of (-9875)/u*(1*-1)/(-40) and k.
16
Let x(g) = 44*g**3 + 2*g**2 + g. Let b be x(3). Let l = b + -19359/16. Calculate the common denominator of -31/12 and l.
48
Suppose -46*z - 338 = -5398. What is the lowest common multiple of 33 and z?
330
Let z(y) = y**2 + 7*y - 6. Let w be z(-8). Suppose -4*x + 31 = -x + w*i, 5*i - 60 = -5*x. Let j = -94 - -102. What is the least common multiple of x and j?
56
Suppose -6 + 2 = -2*c. Suppose -c*y + 5 = -y + l, -5*l = -4*y - 7. Calculate the least common multiple of y and 2.
2
Let o = -1/801 + -6674/801. Find the common denominator of o and -99/14.
42
What is the lowest common multiple of 0 + (2 + 1 - -5) and (-834)/(-13) - (-8)/(-52)?
64
Let k be ((-1)/(-3))/(8/1296). What is the common denominator of 524/(-18) + ((-6)/k)/(-1) and -13/9?
9
Suppose 36 = -v + 4*v. Let i = 1 + 15. Calculate the smallest common multiple of 118/v - (-5)/30 and i.
80
Let z = 31 + -25. Let x(h) = 2*h - 10. Let v be x(z). Suppose -v*q + 4*q = 16. Calculate the lowest common multiple of 8 and q.
8
Let j be (3 - (-164)/(-48))*(-1292932)/50. Let v = 10772 - j. What is the common denominator of v and 13/33?
330
Let w = 611 - 575. What is the least common multiple of w and 8?
72
Let y = 67624/3 + -11631127/516. Calculate the common denominator of y and 91/4.
172
Suppose -9*f + 400 = -4*f. Let u be f/14 - 6/(-21). Find the common denominator of 127/12 and (u/84)/(2/(-202)).
84
Let w = 2463/10 - 247. Find the common denominator of (-4)/14*123/6 and w.
70
Let o = 48 - 39. What is the common denominator of o/(-3) - 40/(-14) and -61/3?
21
Calculate the least common multiple of 3 and (-9)/(-90) - (-118)/20.
6
Let n = 4 + 1. Suppose -6 = 3*v + 3*w, 1 = n*v - 4*w - 7. Suppose -40 = -s + 4*g, v = 5*s - 2*g + g - 124. What is the least common multiple of s and 10?
120
Suppose 5*o - 12 = 33. Suppose o*n - 3*n = 0. Suppose -s - 4*q + 2 = n, 3*s + 13 = 5*s - q. What is the lowest common multiple of 3 and s?
6
Find the common denominator of 41/66 and 10/(-10) + (-455)/(-539).
462
Find the common denominator of 278/84 - -5*1/(-15) and (-3)/2 - (-108 - -4)/(-4).
42
Suppose 0 = -12*m + 16*m + 28. Calculate the smallest common multiple of (-7)/(-2) - ((-21)/(-6))/m and 10.
20
Let i = -62 + 30. Calculate the smallest common multiple of 50 and 2/(-1) - i - 5.
50
Let v = -1379 - -10393. Let f = v - 108251/12. What is the common denominator of 278/36 + (-2)/3 and f?
36
Let z = -8 - -10. Suppose z*n = -4*h, -2*n = n + 6. What is the lowest common multiple of 12 and (-7 + h)*(-6)/18?
12
Let m(x) = -23*x - 20. Let b(z) = 35*z + 30. Let a(w) = -5*b(w) - 7*m(w). Let g be a(-7). Let i = g + -648/7. Find the common denominator of -30 and i.
7
Let v be (-101)/(-840) - (-6)/(-9). Let i = v - 1/40. Find the common denominator of (-4)/(-14) - (-256)/56 and i.
7
Let t = -64 + 74. Calculate the least common multiple of t and 25.
50
Let g = 0 - -9. Calculate the least common multiple of 4/(-3) - 725/(-87) and g.
63
Let s be 243/3 - (-2 - -5). Suppose 5*m - 3*h - 280 = 0, 4*m - 2*h - 224 = 3*h. Let c = s - m. Calculate the lowest common multiple of c and 18.
198
Let z be 3*(-3 + (-32)/(-6)). Suppose 0 = -z*t + 38 + 32. Let s = 34 + -12. Calculate the smallest common multiple of s and t.
110
What is the common denominator of ((-18)/2112)/((-1)/124*1) and -87/22?
88
Suppose -4*l = -6*l + 4. Let a = -384 - -394. What is the lowest common multiple of a and l?
10
Let o be (4/(-6))/(2/(-114)). Let f = 2591/112 - -41/112. Calculate the common denominator of f and (o/(-3))/(8/14).
6
Suppose 3*p + 4*j + 624 = -3891, 5*j + 7525 = -5*p. Let d = 578151 + -4613151/8. Let v = d + p. What is the common denominator of v and 11/5?
40
What is the common denominator of 35/3 and -3 - (-2 + 490/(-189))?
27
Let c = -382 - -422. What is the smallest common multiple of 35 and c?
280
What is the common denominator of 37/63 and (-3)/((-231)/(-14)) - (-1193)/(-154)?
126
Suppose 2*k - 5*b - 4 = -b, 5*k - 45 = 3*b. Calculate the least common multiple of k and 324.
324
Let q(w) = -w**2 + 22*w - 9. Let d be q(15). Let o = d + -69. What is the lowest common multiple of 18 and o?
54
Let t = 99 + -109. Calculate the common denominator of ((-2)/((-120)/(-858)))/((-12)/t) and -21/22.
132
Suppose 2*y = y - 5, 2*y = d - 21. Suppose -9 = 5*a - 5*u + 36, -26 = 3*a - 4*u. Calculate the common denominator of 1*d/a + 3 and -53/10.
10
Let b = -26 + 13. Let v = b + 26. What is the common denominator of -59/6 and ((590/4)/(-5))/v?
78
Let q = -153/7 + 661/28. What is the common denominator of (19/12)/((-2)/(-15)) and q?
8
Let j(g) = -g**2 - 13*g - 15. Let k be j(-10). Suppose -42 = l - k*l. What is the smallest common multiple of 33 and l?
33
Suppose 3 = -5*h - 7, -5*h - 94 = -3*q. Suppose -4*y + q = 3*y. Let p(x) = 24*x**2. Calculate the lowest common multiple of p(-1) and y.
24
Suppose 3990 = -5*t + 3*o + 2*o, 4*t + 3213 = -3*o. Find the common denominator of -23/4 and ((-14)/21)/((-96)/t).
16
What is the common denominator of -31/64 and 2*30/(-12) + 184/240?
960
Find the common denominator of (-890)/252 + 4 + (-10)/10 and -143/180.
1260
Let i(r) = -6*r**3 + 6*r**2 + 6*r - 4. What is the lowest common multiple of 105 and i(-2)?
840
Let a(p) = -p**2 - 9*p + 6. Let x be a(-10). Suppose 2*j - 8*s + 9*s = 10, 3*j = 4*s + 4. What is the smallest common multiple of j and x + 1 + -2 + 16?
44
Suppose -4*g = 3*q - q - 514, 0 = g - 2. What is the lowest common multiple of 92 and q?
1012