b.
220
Let w = 74271 + -888559/12. Let m = w - 221. What is the common denominator of m and 149/24?
24
What is the common denominator of -97/3288 and ((-860)/72)/(910/(-273))?
3288
Let a = -41 + 59. Let j(k) = -k**2 - 23*k - 21. Let f be j(-32). Let q = f + 315. Calculate the smallest common multiple of a and q.
18
What is the common denominator of (-8)/10 - (23/24 + -1) and -101/6?
120
Let n(d) = d**2 + 4*d - 25. Let l be n(-13). Let z be 2/3 + l/(-12). Find the common denominator of (z - -4) + (-230)/24 and 42/5.
60
Let w = 1/2403 - -160993/19224. Suppose 19*s = 20*s + d - 420, 4*d + 2091 = 5*s. Let l = s - 3793/9. Find the common denominator of w and l.
72
Let m(c) = -c**2 - 15*c - 8. Let d be m(-14). Suppose 4*j - 33 = -7*j. Suppose 0 = d*p - 7*p + u + 13, -j*u = -3. What is the least common multiple of 10 and p?
70
Let n = -127807 - -1150228/9. Calculate the common denominator of -7*2/(-12)*2 and n.
9
Let p = 3743 - 3733. What is the smallest common multiple of p and 447?
4470
Let i = 259737/130307200 + 1/189400. Calculate the common denominator of i and -71/2408.
38528
Calculate the common denominator of 2697/(-312) - -1*(2 + 7) and 23/91.
728
Suppose 210 = -174*x + 189*x. What is the lowest common multiple of 1 + 76 - (1 + -4) and x?
560
Let d = -13/3163 - -139547/5478316. What is the common denominator of d and 51/22?
19052
Suppose 3*u + 39 = 54. Calculate the common denominator of 1*-2 + u - 370/40 and -49/156.
156
Calculate the common denominator of ((-40)/(-120))/((-14)/(-498)) + -8 and 55/496.
3472
Let z = 158 + -150. Suppose 3*d - 117 = -5*o, z*o - 2*d = 3*o + 97. Calculate the lowest common multiple of 3 and o.
21
Let h = 17 - 16. Let v = h - -11. Find the common denominator of v/(-16) - (-789)/324 and 73/18.
54
Let h = -16463 + 18168. What is the least common multiple of h and 1240?
13640
Let w = -6321 - -208577/33. What is the common denominator of w and (-474)/(-12)*1/60?
1320
Suppose -29*h + 45060 = -34*h. Let i = h + 216319/24. What is the common denominator of i and 87/16?
48
Let o(w) = -13*w - 120. Let g = -850 + 838. What is the lowest common multiple of 20 and o(g)?
180
Let r = 1266233/31980960 - 2/199881. Calculate the common denominator of r and 43/72.
1440
Let x be ((-7071)/(-8))/(3120/88240). Let h = x - 24998. Calculate the common denominator of h and (-2)/8*(-202)/8.
208
Let r(m) = 14*m - 69*m + 9 - 2*m. Calculate the least common multiple of 22 and r(-1).
66
Let f be ((-2 - 5)/14)/((-1)/10). Calculate the lowest common multiple of f + (-108)/20 - 352/(-5) and 49.
490
Calculate the common denominator of 4 - ((-3908)/(-640) + -2) and ((-8484)/(-144))/(-7)*((-18)/16 - -1).
480
Let z = 11 + -7. Suppose -13*f + z*f + 126 = 0. What is the lowest common multiple of 7 and f?
14
Let x = -2980 + 2992. Calculate the lowest common multiple of 2838 and x.
5676
Let d = 10951/4 - 2721. Let s(f) = -6*f + 1. Let w be s(1). Calculate the common denominator of (3/w)/(32/(-230)) and d.
16
Suppose t + 28*s = 25*s + 272, -2*s - 871 = -3*t. What is the smallest common multiple of t and 77?
3157
Let l be 4*(-3)/(-6) - -3. Suppose 0 = -l*y, 2*n - 5*y - 7 = 29. Let i(s) = 116*s + 4188. Calculate the smallest common multiple of i(-36) and n.
36
Let p = -5238 + 502835/96. Find the common denominator of p and 1/(-5) - ((-29638)/(-360))/(-29).
288
Let r = 11815/241614 + -2/3897. Let g = r - 387/310. What is the common denominator of g and -33/58?
290
Let f(i) = 33*i**2 - 290*i - 38. Calculate the least common multiple of f(9) and 1270.
6350
Let b be 14/(-6)*(-1588)/(-14). Let a be (-1)/30*1*8171. Let c = b - a. Find the common denominator of c and 133/6.
30
Suppose 5*n - 3*m - 351 = 0, -128 = -2*n - 5*m - 0*m. Let y(c) = 44*c**2 - 617*c + 35. Calculate the smallest common multiple of y(14) and n.
483
Let s = 5333 - 4367. Calculate the least common multiple of s and 207.
2898
Let q(r) = -r + 14. Let o be q(-18). Let f = o - 68. What is the common denominator of 41/10 and ((-418)/(-1216))/((2/f)/(-1))?
80
Let o = 101 + -111. Calculate the smallest common multiple of 2 and ((-3)/(-6))/(o/(-240)).
12
Suppose -12*c = -16*c - i + 1626, -5*i = -c + 375. Calculate the smallest common multiple of 432 and c.
6480
Let f = -4/9517 + 713879/247442. What is the common denominator of f and 43/654?
8502
Let y = 345064/51 + -6766. Calculate the common denominator of y and -97/2.
102
Let r = -36212381/182 + 198970. Let i = r + 4/39. Calculate the common denominator of 11/12 and i.
84
Suppose 2*o = 3*z - 506, 5*o + 5*z + 527 + 713 = 0. Let d = -320747/24 - -13360. What is the common denominator of d and o/24 + (2 - 0)?
24
Let k(u) = -u**2 - 12*u - 110. Let d be k(-8). Let b = d + 89. Suppose -4*m - 19 + 55 = 4*g, 5*g - 4*m = 18. What is the smallest common multiple of b and g?
66
Let u = -363 - -648. Let n = -596 - -620. Calculate the lowest common multiple of u and n.
2280
Let i = -44179 - -176799/4. Calculate the common denominator of i and 122/(-96) + 4/12.
16
Suppose -j - 3 = -o, 4*o = 3*j + 2 + 10. Let a(x) = -7*x + 21. Let q be a(o). Suppose -4*y = -q*y - 40. What is the lowest common multiple of 68 and y?
340
Let v(h) = -h**3 - 9*h**2 + h + 12. Suppose 3*j - 113 = -5*o, 0 = -2*j + 2*o + 18 + 36. What is the least common multiple of v(-9) and j?
93
Suppose -29618 + 30050 = 18*m. Calculate the least common multiple of m and 928.
2784
Let s(x) = 24*x**2 + 417*x - 832. What is the lowest common multiple of s(2) and 10?
490
Let s = 157153/51672 - -2/6459. Let b = 3069323/42 - 73075. Find the common denominator of b and s.
168
Suppose -3*u + 22 = -0*b + b, 20 = 3*u - b. Let a = -5 - 75. Let p = 83 + a. Calculate the smallest common multiple of p and u.
21
Suppose 2*s - 150 = 28*r - 33*r, 61 = 2*r + s. What is the lowest common multiple of r and 868?
868
Calculate the common denominator of (-1)/24*303/19 and (-12 - (-304)/48)*(-5 - (-537)/120).
760
Let r(j) = j**2 + 3*j + 6. Suppose -3*t = 2*t - 3*q - 4, 0 = q - 2. Let d be -7 - (t - 1) - (-18 + 15). What is the lowest common multiple of 32 and r(d)?
32
What is the common denominator of (-18522)/(-117992)*(-2)/(-4) and 23/903?
7224
Let b = 4/14337 + -102115/6293943. Let o = b - -26821/2634. What is the common denominator of o and 3/7?
42
Let m(i) = i**2 + 19*i - 4584. What is the least common multiple of 108 and m(-96)?
2808
Suppose 0 = -q + 3*w - 45, 0 = -2*q + 3*w - 38 - 43. Suppose -2*r = 3*r - 10. Calculate the common denominator of -69/4 and r*83/q*12/8.
12
Find the common denominator of 4*(-15)/60*(-29)/6 and 122/48 - (1 - 4).
24
Let r = 73 + -70. Suppose 49 = n + r*j, 2*n = -4*j + 70 + 32. Calculate the lowest common multiple of n and 50.
550
Let c = -97355/19194 - -1/1371. Suppose 5*k - 465 = -0*k. Let x = k - 124. Find the common denominator of c and x.
14
Suppose 12 = 4*n - 8. Suppose -55 = -5*z - n. Let k(f) = -f + 3. What is the lowest common multiple of k(-6) and z?
90
Suppose 7 = -4*q - 89. Let z(g) = g**2 + 33*g + 24. Let r be z(q). Let j = 274 + r. What is the least common multiple of 6 and j?
246
Suppose -5*o = -478*z + 474*z - 4798, -4*z + 2866 = 3*o. Calculate the least common multiple of o and 6.
2874
Calculate the common denominator of 3/4*(-8208)/4275 and -7/225.
225
Suppose -y - 7*b + 11*b = 194, -4*y - 814 = 3*b. Let x = y - -204. Calculate the lowest common multiple of (-27)/(-4) + (-2)/(-8) and x.
14
Let d be 2 + 0 + -1 + (-6)/1. Suppose 5*f = z + 35, -3*z - z = f - 7. What is the least common multiple of f and (5/(d/2))/((-6)/9)?
21
Let n(i) = 9*i + 267. Calculate the smallest common multiple of 156 and n(45).
8736
Suppose -u + 1711 - 1600 = 0. What is the common denominator of 43/18 and (u/(-72))/(428/(-16))?
1926
Suppose 16*i - l - 30 = 11*i, 4*i - 5 = -3*l. Suppose 18 = 4*q - g + 4*g, 38 = i*q - 4*g. What is the lowest common multiple of q and 2?
6
Suppose -5*m = -i - 3*i + 1470, -4*m + 2*i - 1176 = 0. Find the common denominator of ((-946)/260 + 2)/(m/(-245)) and 31/9.
468
Let n(a) = -2*a**3 + a + 10. Let f be n(-4). Suppose f = 2*d + 110. What is the lowest common multiple of 8 and d?
24
Suppose -72 = 8*c - 304. Let t = c - 21. Let q(g) = -g**2 - 13*g - 27. What is the lowest common multiple of q(-9) and t?
72
Let o be 4/(802/400 - 2). Find the common denominator of ((-488)/o