
104
Suppose 24 = 2*t - 76. Let s = -53 + t. What is the common denominator of 34 and (s - (-309)/(-10))/(3 + 0)?
10
Suppose 249*b = 244*b + 65. Suppose -4*q + 320 = b*k - 10*k, 3*q - 3*k - 240 = 0. Calculate the lowest common multiple of q and 88.
880
Suppose -4*s - b = 1 - 86, 0 = -s - 8*b + 29. Calculate the least common multiple of 11337 and s.
79359
Let i be (-16)/(4/6*(-14 - -11)). Suppose 71 - i = 7*m. Calculate the lowest common multiple of 9 and m.
9
Let s = 126 + -127. Calculate the common denominator of (62/(-11))/s*25/150 and 53/6.
66
Suppose -13*f = 21*f - 34. Suppose -3*m + 24 = -5*k, -5*m = 5*k - k - 3. Suppose -m + 5 = z. Calculate the lowest common multiple of z and f.
2
Suppose -5*o - 4*w = -182, 0 = 4*o + 2*w - w - 139. Suppose 0 = k - 2*z - o - 3, 2*k - 98 = -2*z. What is the smallest common multiple of k and 70?
630
Suppose -3 = -2*l - 4*h + 3, -l = h - 1. What is the least common multiple of 7 and (160/15)/(l/(-3))?
224
Calculate the common denominator of (-93092)/(-279942) + (-14)/91 and -113/306.
29682
Let m(a) = -878*a - 5924. What is the smallest common multiple of 275 and m(-8)?
1100
Let i = -1999/741 - -58/39. Find the common denominator of i and 244/(-183) + 142/66.
209
Suppose -5*j + 45 = -5*c - 0*j, 4*j - 48 = 5*c. Let i(m) = 2*m**2 + 17*m - 48. Calculate the lowest common multiple of 4 and i(c).
36
Let z(s) = 4*s - 127. Let f be z(4). Let i = -2809/1020 - 163/51. Calculate the common denominator of (f/(-74))/((-6)/194) and i.
20
Suppose 0 = -z + 3*z - 2. Suppose -60*u = -68*u - 8. Calculate the least common multiple of z and 7/(-27 + u)*-4.
1
Suppose 26*x + 3640 = -14*x. What is the lowest common multiple of 27 and 25/(-125) - x/5?
54
Let u be 7 + 296/(-44) + (-2868834)/(-440). Suppose 3*a + 5*o = -19585, 2*a + 2*a = -o - 26102. Let w = a + u. Calculate the common denominator of 87/16 and w.
80
What is the common denominator of -23/185 and (-39)/(-5291)*(-3)/(-9)*-7?
2035
Let d = -20/2377 - -160219/114096. Calculate the common denominator of (-46)/10 - (-27 + 23) - (-553)/210 and d.
240
Let b = 16109 - 451139/28. Calculate the common denominator of 67/200 and b.
1400
Calculate the common denominator of (28/((-25088)/1554))/((-54)/4) and 59/252.
2016
Suppose 635*f = -2*y + 637*f + 18, -4*y + 5*f + 33 = 0. Calculate the least common multiple of 736 and y.
2208
Suppose 2*k - 704 = -3*u + 1631, -3*u + 2305 = -4*k. Calculate the common denominator of -117/686 and 10/(-125)*u/40.
6860
Calculate the common denominator of -17 - 4*(-23535)/5480 and 49/30.
4110
Let p(z) = -5*z**2 - 1. Let d = 44 + -43. Let w be p(d). Find the common denominator of -71/18 and (-4 - w) + 404/48.
36
Suppose 3*n = 2*y - 3649, -2*n = -5*y + 4514 + 4614. Calculate the least common multiple of y and 121.
20086
Calculate the common denominator of -40/343 and -2 - 334605/(-160524) - ((-2006)/(-221) + -9).
4116
Suppose -j = -4*x - 4081, j - 2039 = -x + 3*x. Let w = -99035/97 - x. Let v = w - -1340/873. Find the common denominator of -10/9 and v.
9
Let g(z) = 2*z**3 + 11*z**2 - 10*z + 2. Let j(b) = -b**3 - 11*b**2 + 10*b - 4. Let d(n) = -2*g(n) - 3*j(n). Calculate the least common multiple of 12 and d(10).
24
Suppose 0 = -10*m + 33*m - 1196. Calculate the least common multiple of 1352 and m.
1352
Let a be ((-1)/104)/(477/(-2728212524)). Let f = a + -54995. What is the common denominator of f and -16/9?
234
Let o = -370 + 637. Let i = 179 - 175. What is the lowest common multiple of i and o?
1068
Calculate the common denominator of ((-62)/30)/((-48)/(-36)) and ((-476)/49 - -10)*1/(-10).
140
Let y = 13649/1638 + -64/117. What is the common denominator of y and -117/112?
112
Suppose 2*x + 46 = -3*z, -2*x = 5*z + 99 - 25. Let l(a) = a + 1. What is the smallest common multiple of l(3) and ((-14)/(-3))/(3 + z/6)?
28
Calculate the common denominator of -27/985 and (-54)/1701*21 + 590/788.
5910
Let n be 4/10 - (-1684837)/(-5). Let x = n + 1366267/4. Let m = x - 4576. Calculate the common denominator of m and -13/6.
12
Let f = -20/18573 - 311227/359078. Calculate the common denominator of 6/1189 and f.
7134
Suppose -f + 346 = -4*a, 14*a - 8 = 16*a. What is the least common multiple of 30 and f?
330
Let g = -19298 - -19679. Calculate the lowest common multiple of g and 45.
5715
Let o(r) = -r**3 + 6*r**2 + 2*r - 7. Let l = 3 - -2. Let h = 709 + -689. Calculate the lowest common multiple of o(l) and h.
140
What is the common denominator of 101/2 and (-5014)/(-4942) - ((3 - 7)/(-4))/1?
4942
Suppose 7 + 13 = 4*n. Suppose 73 = n*d + a, 2*a = 21*d - 19*d - 22. What is the smallest common multiple of d and 100?
700
Let v = -1768/9 + 197. Let t = -28 + 25. What is the common denominator of t and v?
9
Let t = -100 - -93. Calculate the common denominator of -51/98 and t + (-1125)/(-189) + 5.
294
Let u = 118 + -96. Suppose -4 = 4*d, -5*x - 8*d + u = -10*d. What is the lowest common multiple of x and 90?
180
Let p(z) = -104*z + 644. What is the lowest common multiple of 296 and p(6)?
1480
Suppose 0*l + 630 = 5*l. Let z = -111 + 115. Find the common denominator of -7/10 and 24/l - (0 + z).
210
Let i(m) = -25*m - 319. Let p be i(-13). What is the lowest common multiple of (-2)/p + (-437)/(-69) and 75 + (2 - 3) + 0?
222
Let i = 416/21 + 75/14. Calculate the common denominator of i and 53/270.
270
Let u be (-5)/(-4) + 4050/216. Suppose u*m - 2743 = 137. Calculate the least common multiple of m and 21.
1008
Let x = 11287/10 + -1127. What is the common denominator of x and 37/3*(59292/(-1800) + 33)?
50
Calculate the smallest common multiple of ((-7560)/567)/((-10)/12) and 56.
112
Suppose -p - 4823 = -r + 11012, -2*r = 5*p - 31698. Let f be 147783/28*3 + 1 + 2. Let q = f - r. Find the common denominator of 19/14 and q.
28
Let w = 123338887/1440 + -85652. What is the common denominator of w and 89/112?
10080
Let p(x) = -13*x + 4. Let z be p(-3). Let q = z + -49. What is the common denominator of ((-68)/32)/(q/8) and -51/28?
84
What is the common denominator of 205/(-4100)*345/(-21) and -13/4088?
4088
Let o = -53 - -37. Let k = o - -26. Suppose 0 = -0*z - z + k. What is the smallest common multiple of z and 10?
10
Let i = -8354 + 9299. Calculate the lowest common multiple of 33 and i.
10395
Let z(l) = 4*l - 20. Let d be z(9). Let r(h) = 2*h - 22. Let t be r(d). Find the common denominator of -20/11 and (-2)/t + (-2013)/(-90).
66
Let y(a) = -63*a**3 + 8*a**2 - 7*a - 12. Calculate the smallest common multiple of 9 and y(-1).
198
Suppose 4*p + 5*y + 68 = 22, 3*p = y - 44. Calculate the common denominator of 139/70 and -21 + 23 + 13/p.
70
Let g be -14*(-3 + 128/56). Suppose -13 = -d - g. What is the smallest common multiple of 37 and d?
111
Calculate the common denominator of -41/32 and (1 + (-11)/(-2))/(-60 - -52).
32
Let x be 1/2*(-1113392)/200. Let r = x - -2783. Let t = -607/350 + r. What is the common denominator of -77/12 and t?
84
Let o(i) = i**2 + i + 14. Suppose 0 = 5*t - 4*z - 90, 7 = -3*t - 4*z + 61. Calculate the smallest common multiple of t and o(4).
306
What is the common denominator of 724/(-88) - 460/(-46) and -13/3084?
33924
What is the common denominator of 47/8 and 3 + 5 - (-6 + (-4512)/(-570) + 6)?
760
Let x be (-3)/2*352/(-6). Suppose 0 = 5*r - j - 21, 7*j = 2*j - 5. Suppose -2*f = -2*d + 64, f = -d + r*d - x. What is the least common multiple of d and 4?
28
Suppose 0 = 5*b - 22*b + 238. Let f(i) = -i**3 + i**2 + 2*i + 2. Let y be f(-2). Suppose b*m - 32 = y*m. Calculate the least common multiple of 20 and m.
40
Let j = 122 - 99. Let p(q) = -q**3 + 26*q**2 - 55*q - 54. Calculate the least common multiple of 11 and p(j).
2948
Let g be (-8)/30 + (-6)/30. Let z = 61/60 + g. Find the common denominator of ((-329)/8)/(-7) - 4 and z.
40
Suppose -153 + 173 = -4*m. What is the common denominator of 6/45*m*108/(-242) and 12/77?
847
Let v(f) = 5*f**3 - 2*f**2 + 3*f - 2. Let z be v(1). Suppose -z*x - 4*s + 8 = 0, -2*s - 6 = -2*x + 14. Calculate the lowest common multiple of x and 18.
18
Suppose 7*m + 31 = 10. What is the common denominator of m/3 + 69/(-45) and -23/40?
120
Let k be 4 - 5 - (-4)/1. Find the common denominator of k + 7/6 - -2 and 1/((-27)/12)*(-12)/(-7).
42
Calculate the common denominator of (-14223)/1818 - (-75 - -67) and -35/6.
606
Suppose -3*t - 2*k