et k be 2 - 2/(-6540)*-1403. Let q = 151955258/1635 - 92939. Let m = q + k. What is the common denominator of m and -101/6?
30
Suppose 23*f + 2*b = 22*f + 17, -5*b = f - 35. What is the lowest common multiple of 8603 and f?
43015
Let h = -9503/90 - -496/5. Calculate the common denominator of h and ((-6363)/1610 + 4)*15/(-2).
828
Let f = -33378/9185 + -2/835. What is the common denominator of f and ((-72)/(-48))/(15/35)?
22
Let z = -129901/89919 - -2/9991. What is the common denominator of z and (-12)/14*6/(-2)?
63
Let o = -1281 + 1291. Suppose -n = s + s + 545, -5*n - 1350 = 5*s. What is the least common multiple of (-6)/(-24) - s/4 and o?
690
Let g(b) = -7*b. Suppose -169 = -22*r - 37. Calculate the least common multiple of r and g(-1).
42
Let l(b) = -4*b - 12. Let w be (0 - 2)*(-6 + -1). Suppose -w + 39 = -5*i. Calculate the smallest common multiple of 50 and l(i).
200
Calculate the common denominator of 145/18 and (33/49005)/((-44)/(-24756)) - 4/10.
2178
Suppose 5*g + 43 = -7. Let h = g - -18. Let c(v) = -52*v**2 + 2081*v - 28. What is the smallest common multiple of h and c(40)?
24
What is the common denominator of 111/460 and (-8)/(-18) - (-20 + (-650389)/(-31464))?
2760
Let s(p) be the second derivative of p**3/6 + 7*p**2/2 - 14*p. Let n be s(-3). Suppose u = n*u - 42. What is the lowest common multiple of u and 8?
56
Let g = 72803/66 + -25200/11. Let d = 529 - -672. Let b = g + d. What is the common denominator of b and 49?
6
Let m = 76 - 22. Calculate the smallest common multiple of m and (-22 + 21)/(2/(-12)).
54
Suppose 8666 = -9*i - 7*i + 42698. Calculate the lowest common multiple of i and 30.
21270
Let l = -312/1919 + -56129/587214. Let v = l + 4762/765. What is the common denominator of v and 107/30?
30
Suppose -3*q - 270 = 4*r - 5*q, -4*q = -5*r - 345. Let p = -67 - r. Find the common denominator of 55/13 and p/8*((-185)/25 + 7).
130
Let l(x) = x**3 - 9*x**2 - 34. Let q be l(10). Suppose 0 = 27*h + 12 - q. Suppose -v = -6 - 4. What is the least common multiple of h and v?
10
Let f(a) = -a**3 - 67*a**2 + 61*a + 256. What is the least common multiple of f(-68) and 2013?
8052
Calculate the smallest common multiple of 1230619/543 + (-15)/18*4/10 and 824.
9064
Let x = 59729 + -13379319/224. Find the common denominator of x and -50/133.
4256
Let i = -28411616 + 567939643/20. Let p = i - -14638. Let z = -65117/126 + 3674/7. Calculate the common denominator of z and p.
180
Suppose 2*j - 14 = -2*l, 0 = 3*l + 3*j - 4*j - 1. Let b be (44/6 - l)/((-6)/(-27)). Let g = b + -14. What is the lowest common multiple of g and 99?
990
Let r = -44703 + 13410883/300. Let b = r + -863/300. Calculate the common denominator of -67/10 and b.
30
Find the common denominator of 2661/3840 + (-24)/60 and -101/10.
1280
Suppose 0 = q - 3*q + 5*l + 508, -4*q = 4*l - 1072. Calculate the common denominator of (-2)/40*66/3 and -5*4*12/q + 3.
110
Calculate the common denominator of (6/(-189))/(2/((-408)/32 - -1)) and 190/360 - 6/4.
252
Let a = -1355577401/1310 + 1034792. Calculate the common denominator of a and 21/4.
2620
Let z = -5/49219 - 109037/380167556. Find the common denominator of z and 87/20.
38620
Let p = -26272669/715 - -36745. Calculate the common denominator of -43/3315 and p.
36465
Let r(s) = -s**3 - 3*s**2 + 81*s - 44. What is the smallest common multiple of r(7) and 43?
1419
Suppose -167*u - 16 = -171*u. Suppose -18 = -3*b + 5*y + 38, -u*b - 5*y = -28. Calculate the smallest common multiple of 2 and b.
12
Let w = -2349/85 + -47/17. Let u = w - -2113/70. What is the common denominator of u and 6 + 1/(4/(-78))?
14
Let q be (-9 - -8)/((3/212396)/3). Let p = 54373471/256 + q. Find the common denominator of 101/12 and p.
768
Let s(d) = 5359*d**2 + 59*d - 59. Calculate the lowest common multiple of 3 and s(1).
16077
Find the common denominator of 13/((-208)/(-113)) + -6 and 9/4556.
18224
Let t = 8051 - 8012. Suppose b - 4 = 4*i, 0 = -b - 4*b - 4*i + 68. What is the smallest common multiple of t and b?
156
Let c = -7221 + 101155/14. What is the common denominator of 43/21 and c?
42
Suppose 5*y = -0*y + 20. Suppose -y*s = -d + 14, 0*s + s = -3*d + 55. Suppose 64*g = 695 - 503. Calculate the lowest common multiple of g and d.
18
Let m = -2307170993162 + 657875965675123975/285144. Let z = m - 2/11881. Calculate the common denominator of z and -67/16.
48
Let w(l) = -l**3 - 8*l**2 - 75*l - 159. Calculate the least common multiple of 144 and w(-8).
7056
Suppose -7*h + 54 = 3*u, 5*h - 2*h = -5*u + 12. What is the least common multiple of 321 and h?
963
Suppose -2*v - 2870 = -2*s + 5*s, -5*v = -s - 951. Let g = s + 1853/2. Find the common denominator of g and -103/78.
78
Let z(d) = 8*d**3 + 15*d**2 + 9*d - 61. What is the smallest common multiple of z(6) and 133?
2261
Suppose 495*h + 44709 = 222909. Calculate the least common multiple of 720 and h.
720
Let n = 3777 - 4082943/1081. What is the common denominator of 19/46 and n?
2162
Let l = -78337628105/64 + 1224053816. Let k = 28378 - l. Find the common denominator of -61/22 and k.
704
Suppose 5*f + 6*b - 41 = 3*b, -3*f - 3*b + 21 = 0. Suppose 41 = 3*a - 58. Calculate the lowest common multiple of a and f.
330
Let g be (480/100)/(3/600). Suppose 0 = 5*m + 7*m - g. Calculate the smallest common multiple of 10 and m.
80
Let n = 2587/10 + -247. Let d = 19181/8 - 2405. Find the common denominator of n and d.
40
Let x(p) = 22*p**2 + 24*p**2 + 1 + 6*p - 25*p - 45*p**2. What is the smallest common multiple of 18 and x(20)?
126
Let t = -151304/899 + 263538157/1648766. Let g = t + 9/262. What is the common denominator of g and ((-94)/(-12))/(1/(-2))?
21
Let r = -23598 + 27165. What is the lowest common multiple of r and 30?
35670
Suppose 120*w - 119*w - 186 = -6*h, 5*h = -3*w + 571. What is the smallest common multiple of 478 and w?
45888
Suppose -42 = -4*h - r, 3*h + 4*r - 26 = 6*r. Let u(l) = -2*l**2 + 32*l - 112. Let t be 104/17 + (-22)/187. What is the lowest common multiple of u(t) and h?
40
Suppose -4*u + 2*h - 17994 = 0, -10*u + 15*u = 2*h - 22490. Let p = 157432/35 + u. Find the common denominator of -13/55 and p.
385
Suppose 5*f + u = 1431, -1859 = -5*f - 4*u - 440. What is the least common multiple of f and 105?
4305
Let b = 32282051/445 - 72544. What is the common denominator of b and 65/178?
890
Let m be 57 + (3/12 - 2/8). Let c = m + -21. What is the lowest common multiple of c and 14?
252
Let j = 251497/18 - 13966. What is the common denominator of 19/7814 and j?
70326
Let f = 6199/14 + -443. Let h be (-9806)/(-828) + -2 + 4. Let m = h + -2/207. Calculate the common denominator of m and f.
42
Let b be (((-1)/(-35465))/(-1))/((-198)/4135334260672453135). Let l = -588905302953 + b. Let t = l + -2/21279. What is the common denominator of t and 5/16?
144
Let a(w) = -w**2 - 63*w + 1663. What is the smallest common multiple of a(20) and 7220?
21660
Suppose 1082*a - 1078*a - 528 = 3*j, -j = -5*a + 660. Calculate the smallest common multiple of a and 24.
264
Let l be 11 + -11 + 4*1. Suppose 2*p + l = 0, -3*p = -0*r + 4*r + 102. What is the common denominator of (39*2/(-9))/(-2) and r?
3
Suppose -2988 = -241*m + 223*m. Suppose 2*i - m = 4*p, 9*i - 10*i - 2*p = -91. Calculate the lowest common multiple of i and 27.
783
What is the common denominator of -89/656 and (1397/(-330) - -5)/((-2)/(-50)*-8)?
1968
Let t be (2 - (-2400)/(-1208))*35/(-2). Let z = 12083/8456 - t. What is the common denominator of -19/21 and z?
168
Let q = 2839/456 - 127/19. Let d be (-1 - 0)/((-7)/(-2849)). Let s = -727/2 - d. Find the common denominator of s and q.
24
Let f be (90/(-27))/(1/(-195)). Find the common denominator of 12/16 + f/(-408) and 39 + (-1500)/30 + 293/24.
408
Let x(q) = 5*q**2 + 21*q + 114. Calculate the least common multiple of 66 and x(-12).
6402
Let f = -2827 + 56523/20. Find the common denominator of 3/8*(-465)/558 and f.
80
Let o = 23109 + -19749. What is the lowest common multiple of o and 3360?
3360
Let f(l) = -5 - 11 + l**2 + 4 + 3*l**2. Let d be f(-3). Suppose -7*r = -15*r + d. What is the smallest common multiple of 18 and r?
18
Let k(s) = -121*s**2 + 484*s + 11. Calculate the least common multiple of 612 and k(3).
6732
Suppose 530 = -14*i + 19*i - 4*c, 3*i - c - 318 = 0. Suppose -27 = -7*d + i. What is the lowes