1. Calculate the common denominator of v and -67/24.
168
Let k = -4689/4 - -680117/580. What is the common denominator of k and 19/319?
1595
Let i be (108/(-16))/((2 + 0)/16). Let v = i - -64. What is the smallest common multiple of 76 and v?
380
Suppose -4*z + 5*b + 63 = 0, 33 = 3*z - 3*b + 4*b. Let y(n) = -z*n**2 - 2*n + 11*n**2 - 2*n**3 + 2*n - 3. What is the lowest common multiple of 10 and y(-2)?
90
What is the lowest common multiple of ((-28)/(-10))/((-16)/(-200)) and 595?
595
Let a = -37 - -41. Let s(c) = c**3 - 8 - 4*c + 14 + a*c**2 + 8*c. What is the least common multiple of 1 and s(-3)?
3
Let a(d) = -7*d - 141. Let b be a(-27). Let h = -41 + b. What is the lowest common multiple of 11 and h?
77
Suppose 0 = -3*t - 132 + 180. Calculate the smallest common multiple of t and 2040.
4080
Let l = 36/31 - 3427/2604. Calculate the common denominator of l and -21/16.
336
Let f be 77486/6 - 12/36. Let z = -632841/49 + f. Find the common denominator of z and 27/70.
490
Let a = -179911/31415 - -351/61. Let v = a + -12224/2575. Let f = 4238/1025 + v. Calculate the common denominator of f and 55/8.
328
Suppose -3*i + 16 = -4*s, -13 = -2*i + 2*s + 3*s. Let a = i + -4. Suppose a = 4*z - 57 - 31. Calculate the least common multiple of z and 20.
220
Suppose 3*c + y = 1094, -c + 5*c - 4*y - 1480 = 0. What is the common denominator of 1 - (c/(-18) - 3) and -19/30?
30
Let q = -4950938/32862915 + 3/81143. Calculate the common denominator of 41/180 and q.
1620
Let l = -479 - -720. Calculate the smallest common multiple of 3 and l.
723
Suppose 31*y - 779 = 213. What is the common denominator of (-8)/(2 - 4) - 66/y and -101/260?
1040
Suppose -5*f + 13*c - 64 = 9*c, -3*c = 3*f + 33. Let j = 645025/175186 - 1/7963. What is the common denominator of ((-10)/f)/(24/(-80)) and j?
198
Suppose 5425 = 49*m - 4816. Calculate the lowest common multiple of m and 551.
6061
Let q = -5251 - -3043. What is the common denominator of 28/238 + q/561 and 89/130?
1430
Suppose 100*v + 5*c = 97*v + 85, -4*c = 4*v - 108. Calculate the smallest common multiple of v and 25.
25
Suppose 4*h = 3*b - 125 - 51, -3*b + 188 = -h. What is the common denominator of 35/32 and (1 + (-1)/2)*(-344)/b?
32
Let q(h) = 5*h**2 - h. Let w be -1*(18/(-15) + 2)*-5. Let d(s) = 3*s - 2. Calculate the least common multiple of d(w) and q(-1).
30
Let i be 2 - (0 + (-82)/52). Let v = -707/104 - i. Calculate the common denominator of 2/3*(-3213)/(-672) and v.
16
Let z = 1098 - 928. Find the common denominator of 25/98 and 7/((-210)/5) + z/75.
490
Suppose 13 = 4*d - 2*t - t, -2*d - 5*t = -13. Suppose 4*b + 6*k - 140 = 8*k, 0 = -d*b - 3*k + 140. What is the least common multiple of b and 30?
210
Suppose -2*y - r + 13 = 0, -4*y + 23 = -10*r + 9*r. Suppose -40 = -h + y. Calculate the lowest common multiple of 18 and h.
414
Let h = 219 + -128. Suppose -6*l - h = -343. What is the least common multiple of l and 60?
420
Let m(u) = u**3 - 13*u**2 + 2*u - 22. Let q be m(13). Calculate the common denominator of q/(-28) + (974/(-336))/1 and 22/117.
936
Let w = -1165 + 1168. Suppose 0 = y + 3*g + 19, -y + 4*y + g = -25. Let s = y + 11. Calculate the least common multiple of s and w.
12
Let y = 5576158/5 + -373143281/335. Let j = 1371 - y. What is the common denominator of j and -17/10?
670
Let s(o) be the third derivative of 3*o**5/20 + o**4/8 - o**3/3 - 8*o**2. Let n be s(1). Calculate the common denominator of (-3)/2*(-2)/n and 17/4.
20
Let j = -38 - -68. Calculate the smallest common multiple of (-5)/(-2)*(9 + (-56)/(-40)) and j.
390
Let r(h) = 160*h**2 - 227*h - 7. Calculate the lowest common multiple of r(3) and 1128.
2256
Let l = 106462 - 648247115/6089. Find the common denominator of 15/8 and l.
48712
What is the common denominator of (-222)/(-27) - (-219)/(-146) and -121/600?
1800
Find the common denominator of ((-9)/(-15))/(-1) - (8 - 6645/825) and -9/716.
7876
Suppose -767 = 23*r - 4079. Suppose 0 = 176*y - 172*y - r. Calculate the smallest common multiple of y and 10.
180
Let y be (-10*15/18)/((-8)/48). Calculate the common denominator of (-26)/(-36)*y/(-75) and 128/(-54) + 3/3.
27
Let t be (-656)/(-112) - (-1)/7. Let n = t + -24. Calculate the smallest common multiple of (35/21)/((2/n)/(-1)) and 18.
90
Let r(l) = 327*l**2 + 19*l + 16. Calculate the smallest common multiple of r(-1) and 324.
324
Let t be -3 - ((-567)/(-49) + 6/14). What is the common denominator of 139/12 and 2/(-4) + (5 - t/35)?
84
Let c = -1611 + 2403. What is the lowest common multiple of 720 and c?
7920
Let s = -3857167/102 + 37815. What is the common denominator of s and 41/138?
2346
Suppose 10*i - 4789 - 7491 = 0. What is the smallest common multiple of i and 22?
13508
Let n(k) = -4*k + 5. Let d be n(-3). Suppose d*t = 16*t - 5. Calculate the common denominator of t/(140/92) + -3 and 77/8.
56
Suppose -17*l + 55092 = -2538. What is the least common multiple of l and 2373?
23730
Calculate the smallest common multiple of 290 and -6*812/(-105)*(-8 - -23).
3480
Let s be ((-408)/9)/(1/(-3)). Suppose -4*q + s = 3*d - 0*q, 0 = -3*d - 2*q + 134. What is the smallest common multiple of d and ((-2)/9)/(62/(-1116))?
44
Let t = 926 + -475. Calculate the lowest common multiple of 410 and t.
4510
Suppose 3*z - 8*z - 48 = -v, -6*z - 66 = 3*v. Let i = 734/891 + -8/891. What is the common denominator of i and (1/12)/((4 - z)/1498)?
108
Suppose 706*u = 700*u + 96. Calculate the smallest common multiple of 244 and u.
976
Find the common denominator of 250/375 + 362/(-795) + 0 and -77/50.
2650
Suppose 18*q - 3*w + 696 = 21*q, -5*q + 1188 = -2*w. What is the smallest common multiple of 10 and q?
1180
Suppose o + 0*o - 2 = 0. Suppose -o*d + p + 25 = -8, -5*p = -5*d + 90. Suppose -1170*k + 1154*k + 432 = 0. What is the lowest common multiple of k and d?
135
Let i = 15785 - 189287/12. Find the common denominator of 57/784 and i.
2352
Calculate the common denominator of ((-1477)/(-1266))/(2 + 3749/(-5) + -2) and -125/18.
67482
Let r(g) = -g**3 - 6*g**2 + 3*g - 1. Let n = 3653 - 73001/20. Find the common denominator of n and r(-5).
20
Let g(s) = 3*s**3 + 428*s**2 + 261*s + 367. Calculate the smallest common multiple of 1211 and g(-142).
3633
Suppose 4*k = -2*l + 64 + 128, -3*l - 3*k + 303 = 0. Calculate the common denominator of -3 and 14/(-70) - l/170.
17
Let y = -39 + 40. Suppose 0 = -3*q + 7*q - 8. What is the least common multiple of 2 - ((-2)/y - q) and 10?
30
Suppose 0 = 15*z - 20*z + 480. Suppose 7*b = 23*b - z. Suppose 20 = b*l + 14. What is the least common multiple of 35 and l?
35
Let p = -3673/1740 + 4/145. What is the common denominator of (-40664)/(-10557)*((-292)/(-72) - 4) and p?
972
Suppose 3*r - 8 = -4*u, 4*r + 2*u - 24 = -0. Let d(l) = r*l + l**2 - 7*l - 2 - l. Calculate the lowest common multiple of d(2) and 18.
18
Suppose -21*k + 42 = -14*k. Let a = 3 - 11. What is the smallest common multiple of k and (0/(-5))/(-4) - a?
24
Let z(o) = 2*o + 28. Let s be z(-12). Let i(w) = 2*w - 5. Calculate the lowest common multiple of i(8) and (1 - 3)/(2*s/(-92)).
253
Let g = -682/63 + 92/21. Let c = -157 - -182. Calculate the common denominator of g and (c - -1)*-1*(-9)/(-162).
9
Let p = 4811301/1159340 - 2/57967. Let o(w) = -w**2 - 8*w + 9. Let j be o(-8). Calculate the common denominator of p and (-32)/j - 3/(-12).
180
Suppose 0 = -o + 2*s, -3*o - 3*s = -5*s - 4. Suppose 321 = 3*m + 4*g - 549, -4*m = -g - 1160. Calculate the lowest common multiple of m and o.
290
Let i = -75888/873215 - 157/4090. Calculate the common denominator of 53/1098 and i.
7686
Let g be -36 + 3 + 3 + -2. What is the common denominator of (60/18)/(g/(-114)) and 0/(-18) - 2*64/(-18)?
72
What is the lowest common multiple of 1096 and ((-1015)/(-1421))/(10/28)?
1096
Suppose -y - 156 = -27*y. Suppose 0 = 4*c - 7*c + 9. Suppose -4*k = -c*v - 5 - 7, 0 = -4*k - 5*v + 12. What is the lowest common multiple of k and y?
6
Let c(o) = 4 - 1 - 7*o + 22*o + 2*o**3 - 7*o**2 + 9*o. Let k be c(4). Let m = k + -114. What is the lowest common multiple of m and 35?
35
What is the common denominator of (-3)/(-2) + (-208)/116 and (-4277)/(-260) + -7 + (-20)/5?
580
Let i = 1988 - 1949. What is the lowest common multiple of 4 and i?
156
What is the least common multiple of ((-12)/(-228) + (-15573)/228)/(3