
1908
Let w = 21/691 + 45835/15202. What is the common denominator of 13/122 and w?
1342
Let j(w) = -w**2 - 17*w - 13. Suppose 2*n = 2, -3*o = -4*o - 4*n - 3. Calculate the least common multiple of 33 and j(o).
627
Calculate the least common multiple of (-11874)/(-33) + 18/99 and 72.
360
Let l be (-66)/18*(-48)/(1 - 3). Let m = 135 + l. Let y = m + -41. What is the smallest common multiple of 1 and y?
6
Let b = -1 - -5. Suppose d + 0*d - x = 27, 0 = -b*d + x + 102. Suppose 25 = 5*y - d. What is the least common multiple of y and 8?
40
Let d(t) = 4*t**2 - 7*t - 6. Suppose -35 = -y + 5. What is the least common multiple of d(-2) and y?
120
Calculate the common denominator of 75/16 and (-8225)/(-6540) - ((-10)/(-3) + 0 + -2).
1744
Let r = 208 - 257. Calculate the least common multiple of 24 and r/1*(45/(-35) - -1).
168
Let r(o) = o**2 - 20*o - 2460. Calculate the lowest common multiple of 7 and r(61).
287
Suppose 534*q - 559412 = -141290. Calculate the smallest common multiple of 174 and q.
1566
Calculate the smallest common multiple of 357 + -13*(-336)/208 and 1674.
11718
Let v = -9098 - -10553. What is the lowest common multiple of 50 and v?
14550
What is the common denominator of ((-1009)/(-3027))/((-530)/21) and 19/2597?
25970
Suppose -595 - 707 - 258 = -13*p. Calculate the lowest common multiple of 288 and p.
1440
What is the common denominator of 143/252 and ((-1022)/182*(-9)/(-324))/(1/2)?
3276
Let y = 275/2 + -940/7. Find the common denominator of (6/(-16))/((-7)/156) and y.
14
Suppose 3*x - 2*k = 29, 0 = x + 3*k - 5*k - 3. Let n be (2 - 3) + 3 + x + -15. What is the smallest common multiple of (2 + n)/((-2)/(-9)) and 12?
36
What is the common denominator of (-185)/(-4)*156/2730 - 0 and -1/690?
4830
What is the common denominator of 1071/(-30)*180/840 + (-2)/(-5) and 46/1481?
5924
Let c = 56 - 53. Suppose -c*h - 19 = 4*p, -h - 5*p - 20 = 2*h. What is the common denominator of (202/6)/(h - (5 + -4)) and 101/122?
1098
Let y be (-120)/(-780) - -1*50/13. Calculate the common denominator of (-15)/(-50)*y - 1662/860 and 53/16.
688
Find the common denominator of (7728/855)/7 + -1 and 30/(-1152)*-40*4*(-1 + 0).
570
Calculate the lowest common multiple of 369 and (510/40 - 14) + 2*(-3449)/(-8).
2583
Let h(j) = 38*j**2 - 5*j + 7. Let x(q) = -2*q**3 - 22*q**2 + 1. Let n be x(-11). What is the lowest common multiple of h(n) and 35?
280
Suppose c = 3*c. Suppose y - 5*y + 5*d + 191 = c, -2*y + 91 = -d. Suppose 1095 + 2785 = 75*p + 119*p. What is the lowest common multiple of p and y?
220
Suppose h + 3 = -5*p, 2*h = 6*h + 12. Let x be p + 0 - 511691/20. Let a = -25579 - x. Calculate the common denominator of 63/4 and a.
20
Suppose -13*t + 2353 = 715. Suppose -6*v - t = -462. Calculate the smallest common multiple of v and 56.
56
Let j(u) = u**2 - 138*u + 1889. Calculate the lowest common multiple of j(123) and (-123)/(-5) - 72/120.
264
Suppose -81 - 51 = -6*n. Suppose 0 = 5*z - 0*z - 50. Let h = 24 - z. What is the least common multiple of n and h?
154
Let t = 11807/18 + -661. Let x = 9762 - 5532. Let q = x - 101569/24. Calculate the common denominator of q and t.
72
Let g(y) = 238*y + 1256. What is the smallest common multiple of g(-5) and 3?
66
Let d(m) = m**2 - 405*m + 10926. Suppose l + 4*l = -160. Let n = -14 - l. What is the smallest common multiple of n and d(29)?
198
Suppose n = i + 35, 0 = 6*n + 13*i - 15*i - 238. Let s = 58 + -28. Calculate the least common multiple of n and s.
210
Suppose -3*i + 36 = -1423*l + 1427*l, 2*l = 3*i. What is the smallest common multiple of 12070 and i?
24140
Let d(c) be the third derivative of 5*c**4/24 - 3*c**3 - 39*c**2. Suppose -39 = -5*o + 11. What is the lowest common multiple of 20 and d(o)?
160
Let x be (-6)/87*14/308. Let a = x - -6065/1276. Calculate the common denominator of a and -25/32.
32
Let x = 10266 + 1536. Calculate the lowest common multiple of x and 6.
11802
Let h = -57 - -56. Let o be 1/(h - 5/(-4)). Suppose -2 = o*y - 5*y. Calculate the lowest common multiple of 10 and y.
10
Let s be 14109*17*16/(-1120). Let j = 3427 + s. What is the common denominator of 20/7 and j?
70
Let h = -751/2 + 373. Let j = 0 + h. Find the common denominator of j and 47/44.
44
Let f be 2 + 4/(-3)*-18. Calculate the common denominator of (-2)/3*147/(-18) and f/56 - 20/(-70).
36
Calculate the least common multiple of 66 and (-12)/(9 + 721/(-77)).
66
Suppose -4*v + 82*o = 80*o - 100, 5*v - 4*o = 125. What is the least common multiple of v and 10?
50
Let w = 156 - -251. Calculate the smallest common multiple of 222 and w.
2442
Let j = -343851 + 1658393381/4823. Let d = -525131/347256 - j. What is the common denominator of 143/18 and d?
72
Let d be -1 + -1 - (-1908)/970. Let o be 14638/12610*17/(-2). Let y = d + o. What is the common denominator of y and -149/6?
30
Suppose 16*n = -16*n + 39*n. What is the common denominator of -113/14 and (1328/(-160) - -5)/(3 + n)?
70
What is the common denominator of -69/1370 and (30 - 32)/((-2055)/100)?
4110
Let i = 1851/28 - 636/7. Let x = 3163 - 28532/9. Find the common denominator of i and x.
36
Let c(i) = 2*i**2 + 27*i + 21. Let n be c(-17). Suppose -3*x + 13*x = -n. Calculate the least common multiple of 10 and (-136)/x - (-10)/35.
10
Suppose -21 + 9 = 3*w, -p = -4*w - 16. Suppose -323 = 2*o + x - 1108, p = 5*o - x - 1973. What is the lowest common multiple of 4 and o?
788
Let n(j) = j**3 - j**2 - 6*j + 165. Let z be n(0). Suppose 10*p + 5*p - z = 0. Calculate the lowest common multiple of p and 1/(2 + (-22)/12).
66
Calculate the smallest common multiple of 2374/30 - 24/180 and 21.
1659
Let k = 12 + 1. Suppose 13 = -h + 5*u, h = -10*u + 5*u - k. Find the common denominator of 1665/1092 + (1 - (-11)/h) and -59/18.
252
Suppose -a - 3*c = -5, -6 = -2*a - 2*a + 2*c. Calculate the smallest common multiple of 11 and (a/(-2))/((-6)/12) + 20.
22
Suppose -934*c = -926*c - 64. Let o(x) = -x + 8. What is the smallest common multiple of c and o(4)?
8
Let v = 4897565/54 - 90693. What is the common denominator of 55/306 and v?
918
Suppose 0*u - 2*u = 3*g - 87, 3*g - 66 = 5*u. Let b = 510 + -498. Calculate the smallest common multiple of g and b.
108
Let l be ((-1)/(1/(-5)))/(7/(-49)). Let r(m) = 3*m**2 + 104*m + 85. Calculate the smallest common multiple of r(l) and 45.
360
Let a = 3970 - 3968. Calculate the lowest common multiple of a and 1134.
1134
What is the common denominator of -13/6742 and 8 + (-444)/28 + 7 - (-2665)/(-280)?
26968
Suppose -18*x = -22*x + 12. Suppose 0 = 4*j - 5*b - 565, 4*j = 4*b - x*b + 577. Suppose j - 26 = 7*c. Calculate the lowest common multiple of c and 7.
119
Let a = -1989 + 11945/6. Let k = -4705/12 + 1123/3. Find the common denominator of k and a.
12
Let a be 7058/(-24) - (-3)/6. Let b = a + 1077/4. Calculate the common denominator of b and (-422)/(-90) + 4/(-30).
9
Let g = -17/38897 + -6085613/48543456. Calculate the common denominator of g and 51/286.
13728
Suppose -6*w = -w - 25820. Let i = 62105/12 - w. Let s = 9942 + -338067/34. What is the common denominator of i and s?
204
Let p = 291 - -2. Suppose 0 = -9*s + 526 + p. What is the least common multiple of 4 and s?
364
Let o = 2/2389895 + -78996737/155584554395. What is the common denominator of 143/6 and o?
390606
Suppose -2*c + 5*c - 48 = 0. Suppose 252*j + 233*j - 33739 = -12399. Calculate the smallest common multiple of j and c.
176
What is the common denominator of 163/84 and 2860/(-3696)*33/(-30)?
168
Let w = 17 - 34. Let l = -14 - w. Suppose l*s - s = 44. What is the lowest common multiple of 10 and s?
110
Calculate the lowest common multiple of 9 and -8 + (7 - (-2 - -1 - -24)*-1).
198
Suppose -408 = 13*p - 30*p. Find the common denominator of (-187)/p + 188/(-141) and -15/4.
8
Suppose 2*y = -3*b + 258, -3*y + 4*b = y - 536. Suppose -45*r + 34*r + y = 0. What is the lowest common multiple of r and 14?
84
Suppose -5*i + 3129 = 24. Let m = i - 3117/5. Find the common denominator of m and (-1232 - -1211)*(-17)/56.
40
Let x(s) = 1577*s**2 + 50*s - 52. What is the lowest common multiple of x(1) and 300?
6300
Let l = -9 - -76. Let u = -53 + l. Suppose 46 - u = 2*c. Calculate the lowest common multiple of 10 and c.
80
Calculate the common denominator of 7520/282*6/(-9275) and -13/280.
14840
Suppose -5*b