3
Let s = -9 + 19. Calculate the common denominator of (s/(-15))/(88/54) and 9/28.
308
Let v be -4 - 1/(-2)*6. Calculate the lowest common multiple of (-1)/(v/(17 + -3)) and 14.
14
Let d = -275 - -2494/9. Calculate the common denominator of (2*(-1 + -1))/(-7) and d.
63
Calculate the common denominator of -18*2/(-40) + 3 and 37/124.
620
Let g = 56 + -38. Calculate the least common multiple of (5 + (-5)/3)*(0 + 6) and g.
180
Suppose -o + c + 3 = 0, 3*c - 7 = 3*o - 2*o. Calculate the least common multiple of 11 and o.
88
Suppose -3*f + 8*f = 5*v + 45, -f = 4*v + 16. Suppose 4*z + 14 = j, 0*z - 8 = 2*j + f*z. What is the least common multiple of j and 20/(-6)*1*-6?
20
Let n = 9/92 + 2429/92. Calculate the common denominator of -45/8 and n.
8
Calculate the lowest common multiple of 9 and (6/5)/((-80)/(-25) - 3).
18
Let o be 3 - ((-741)/(-670) + 3). Let y = o + 2/335. What is the common denominator of y and 121/36?
180
Let x be 1289/5252 - 2/8. Let o = x + -108955/5252. Find the common denominator of ((-2)/48)/((-4)/450) and o.
16
Let t(f) = f**3 - 13 + 0*f - 2*f**2 - f + 17. Let g be t(4). What is the common denominator of (294/g)/(18/8) and -79/4?
12
Let l = 1217/5 - 16683/70. Calculate the common denominator of l and 113/10.
70
Let q(f) = -f**2 - 4*f + 7. Let c be q(-5). Let i be 2/c*45/3. What is the smallest common multiple of 14 and 3/(9/i)*4?
140
Suppose 446 = p - 2*n + 13, -4*n = -4. What is the common denominator of p/100*10/24 and (15/(-4))/((-27)/42)?
48
What is the common denominator of 47/56 and 4/(48/11) + (-4)/2?
168
Suppose 18 = -k + 33. What is the smallest common multiple of k and 9?
45
Let w = 14339/6 - 2404. Calculate the common denominator of -68/3 and w.
6
Let z = 683 - 5457/8. Let v(t) = 541*t - 2. Let w be v(3). Let g = 11367/7 - w. Calculate the common denominator of z and g.
56
Suppose 0 = 3*v - 0*v - 54. Calculate the lowest common multiple of v and 5.
90
Calculate the lowest common multiple of 10 and 6/(2/1) - -15.
90
What is the common denominator of -23/5 and 6 + -4 + (-144)/22?
55
Find the common denominator of 52/42*-5*(-6)/40 and 77/2.
14
What is the common denominator of ((-104)/20)/(-4 - (-14)/4) and 85/36?
180
Suppose 3*b + 0*y - y - 18724 = 0, 3*b + y - 18734 = 0. Let t = b - 37567/6. Calculate the common denominator of -21/8 and t.
24
Let o(v) be the first derivative of v**4/4 - 5*v**3/3 + 4*v**2 - 4*v - 2. Let y be o(5). Suppose -y = -3*b - 0*b. What is the least common multiple of b and 2?
12
Suppose 2*o = -3*o - 3*z, -4*z = -o. Suppose o = 5*u - 3 - 7. Calculate the smallest common multiple of 12 and u.
12
Let i(m) = 12*m - 4. Let q be i(2). Calculate the lowest common multiple of (-204)/(-15) - (-8)/q and 18.
126
Let t = -10543/2786 + -2/1393. Let a = 787165/282562 - 2/20183. What is the common denominator of a and t?
14
Let z = -47327 + 66685. Let v = z + -425947/22. What is the common denominator of v and -111/10?
110
Suppose 2*u = -2*u + 40. Let q(y) = -y**3 + 4*y**2 + 3*y - 2. What is the lowest common multiple of u and q(4)?
10
Let j = 113/6 + -151/6. What is the common denominator of j and -149/6?
6
Let c = -9051 - -144869/16. Find the common denominator of 145/36 and c.
144
Suppose -4*t - 4*z + 48 = 0, -4 - 12 = -4*t + 4*z. What is the smallest common multiple of t and 76?
152
Let k = 4/741 - 5689/1482. What is the common denominator of k and -83/24?
24
Calculate the common denominator of -67/2 and 18/(-5)*(-13)/(-40).
100
Let u be (-1 - 1)*(1 + 0). Calculate the common denominator of u/6 + (-525)/72 and 43/11.
88
Let y = 6 - 9. Let r = -73475/18 + 4088. Calculate the common denominator of r and 0 + 78/(-16) - y.
72
Let q = -14755 + 266941/18. Let g = -55900 - -503750/9. Let l = q - g. Calculate the common denominator of 113/6 and l.
6
What is the common denominator of 5 + -5 - (-1)/((-1)/7) and -89/78?
78
Find the common denominator of (2/3)/((-20)/750) and -97/40.
40
Let b be (-459)/(-6)*(-8)/(-6). Suppose -4*d - 18 = -b. Suppose -3*p + d = -0*p. What is the smallest common multiple of 1 and p?
7
Suppose -t = 5*o + t - 115, -4*o + 5*t + 125 = 0. Let n = o + -14. What is the smallest common multiple of n and -6*9/(-6)*1?
99
Let o = -1/5155 - 159793/61860. Calculate the common denominator of o and 46/45.
180
Calculate the common denominator of (2/8)/(3/(-54)) and 2/(-1 - 405/(-325)).
8
Let h be ((-72)/(-304))/((-1)/(-780)). Let t = 72423/380 - h. Calculate the common denominator of t and (82/(-6))/((-16)/(-6)).
40
Let v = 21/5 - 134/45. Find the common denominator of -2/11 and v.
99
Let i be (-2 - -4) + -3 + -5. Suppose -5*a + 5*n = 20, -3*a - 5*n = 2*a. Calculate the smallest common multiple of 14 and a*3/(9/i).
28
Let x = 34 - 30. What is the lowest common multiple of x and 52?
52
Suppose 0 = -o + 4*m - 2, 0*m = -5*o + m + 9. What is the least common multiple of o and 12?
12
Let p = 18 + -13. What is the common denominator of 47/14 and 238/32 + (-10)/p?
112
Let r = 17987814/7997 + 362/727. Let f = r - 2245. What is the common denominator of -53/10 and f?
110
Suppose 16 = -4*m, -3*p - 5*m + 408 = 143. Suppose -b = -6*b - p. Calculate the common denominator of b and 17/6.
6
Let k be (1 - (-9)/(-3))/(-1). Calculate the common denominator of (-172)/(-22)*k/(-4) and (1 + (-25)/(-6))*-1.
66
Suppose -4*a - 4*t + t = -67, 5*t + 11 = a. Calculate the least common multiple of a and (-9)/(-3)*(2 + 2).
48
Let d be ((-67086)/(-3))/3 + 3. Let j = d - 253603/34. Find the common denominator of j and -109/18.
306
Let y = 10715/6 + -1802. What is the common denominator of -89/62 and y?
186
Let h = -5 - 4. Find the common denominator of -37/2 and 3/h + 139/(-60).
20
Suppose 3*l - 108 = -0*l. Suppose -5*x = -l - 14. Calculate the least common multiple of x and 4.
20
Suppose -3*o - 5*f = -0*o + 20, -4 = -5*o + f. Suppose -3*i + o = -12. Let q(t) = t**3 + 7*t**2 + 4*t - 1. Calculate the lowest common multiple of i and q(-6).
44
Let q be 1/4 - 25/4. Let x(s) = -3*s - 9. What is the least common multiple of 2/(1 + -3)*-6 and x(q)?
18
Let k be (56/(-5))/((-86)/40). Let q = 5877/344 - k. Find the common denominator of q and (-1317)/168 + (-4)/14.
8
Let q = -296231607/184 + 1609959. Let k = 52/23 + q. Find the common denominator of ((-54)/(-8))/((-7)/14) and k.
8
Let n = -32289/12524 + 80/31. Let v = n + 29281/3636. What is the common denominator of v and 67/8?
72
Suppose 3*b = -5*s - 11, s - 13 = -5*b - 2. Calculate the common denominator of 1 - b/2 - 4 and 3/2.
2
Let k = -963/8 + 108. Let j be 16/40*1640/34. Let n = j - 4167/238. Find the common denominator of k and n.
56
Calculate the least common multiple of 46 and 0/8 - (-2 + -14).
368
Let w(v) = -v**2 - 4. Let h be w(-3). Let d = -1 - h. What is the least common multiple of d and 6?
12
Let u be 1 - ((-330778)/(-5016))/(-7). Let v = u + 34/209. What is the common denominator of v and 97/12?
12
Let j = -33 + 51. Suppose 16 = -2*t - 2*y, -3*t - 3*y - 24 = 2*y. Let w = 0 - t. Calculate the least common multiple of j and w.
72
Let o(z) = z**3 - 3*z + 2. Let n be o(2). Calculate the common denominator of (-273)/(-12) + (-1)/n and (-2)/(-6)*(-243)/4.
4
Let q = 1945/408 - -133/51. Let g(d) = -13*d**3 + d**2 - 3*d. Let p be g(3). Calculate the common denominator of q and p/(-110) + (-4)/(-10).
88
Suppose 0 = -4*f + 2*f + 3*z + 7, 0 = f + 2*z - 7. Suppose 5*x = 2*m + f, 5*m - 21 = -2*x + 2*m. Calculate the lowest common multiple of 6 and x.
6
Let j = 251/264 + 23/24. What is the common denominator of 2/7 and j?
77
Find the common denominator of 50/7 and ((-18)/195)/((-3)/(-15)*-2).
91
Suppose 4*c - 3 = h, 3*h - 8 = -3*c - 2. Let s(v) = -v**2 - 8*v - 7. Suppose 7*u - 4*u = -15. Calculate the least common multiple of s(u) and c.
8
Let j be ((-15)/1080)/(2/1292). Let w = 95/9 + j. What is the common denominator of 19/14 and w?
84
Find the common denominator of 1*(-327)/126*(-3)/1 and 127/12.
84
Calculate the common denominator of (1/8)/((-70)/(-74) - 1) and 1 - (-2 - (-57)/4).
16
Let z = -207652/49 + 4238. Let u = 911/98 + z. Calculate the common denominator of u and -29/9.
18
Let m = 30201/10 - 3015. Calculate the common denominator of 11/24 and m.
120
Let b = -506 + -257. Let y = b - -1557/2. What is the common denominator of y and -106*((-3)/4)/(-3)?
2
Let y = -794 + -88. Le