Let k be 4 + (-663)/7 + 2/(-7). Let z = b + k. What is the lowest common multiple of 20 and z?
20
Suppose 4*m = -12, 0 = -5*v + 2*m - 4 + 55. Suppose -h + 1 = 2, -84 = -4*d - 4*h. What is the lowest common multiple of v and (-89)/(-13) - d/(-143)?
63
Calculate the common denominator of (66/8 + -7)/(126/(-224)) and -29/1057.
9513
Let i = -754/21 + 107/3. Let u = 23969/21 - 1144. What is the common denominator of i and u?
21
Suppose -20 = 3*k + k, 4*r = -k + 4435. What is the common denominator of r/(-675) - (-2)/10 and 68/15?
45
Let r be (-43761)/28532 + (-84)/(-56). Let o = 2/1019 - r. Find the common denominator of 16/9 and o.
252
Let g = -59 + 61. Suppose -g = -2*x - 2. Suppose u - 4*n + 6 = x, 3*u + 10*n = 5*n + 33. What is the smallest common multiple of u and 10?
30
Let c = -126519 - -28804. Let y be 195425/c - -3*(-2)/(-3). Let u = y + 2012869/1172580. What is the common denominator of u and -49/10?
60
Calculate the smallest common multiple of (-393)/(-3537)*(0 + 36) and 1146.
2292
Let k = 1641549 - 2816898247/1716. What is the common denominator of 161/1716 and k?
1716
Suppose 0*s = 2*o + 2*s, -2*o - 3*s + 1 = 0. Let y be (-191 + -6)*-2*2/4. Find the common denominator of (o - y/(-18)) + -4 and -71/16.
144
Suppose -2*f + 84 = -0*f. Let t be (-1 - (-3585)/84) + (-12)/(-48). Let s = f - t. Calculate the common denominator of s and 67/8.
56
Let h = -18720 + 374509/20. Let d(i) = i**2 + 13*i - 32. Let b be d(-14). Find the common denominator of h and (-750)/(-8)*(-4)/b.
60
Let q(z) = -23*z + 20. Let m be q(-3). Let l = m - 75. What is the smallest common multiple of 10 - 2 - (1 - -1) and l?
42
Let h = -484 + 1264. Calculate the smallest common multiple of h and 156.
780
Let x = -12 + 62. Calculate the least common multiple of 132/(-55)*x/(-4) and 12.
60
Let y = -8447/13160 + 30/47. What is the common denominator of y and -161/360?
2520
Suppose 0 = 5*k + 3*y - 33, 1 = k - 0*k - 5*y. Calculate the common denominator of -115/18 and 1*k + (-387)/(-27).
18
Let v be ((-22)/8 - -1)*-844. Calculate the common denominator of 1*((-40)/25)/((-21)/5) and 4/(-14) + v/(-147).
21
Let u = 6899 - 6269. What is the lowest common multiple of 90 and u?
630
Let t = -213 - -225. Suppose 5*c - 3*x - 10 = -2, -3*x + t = 0. Let l(p) = -p**3 + 5*p**2 - 4*p + 3. What is the lowest common multiple of c and l(3)?
36
What is the least common multiple of (-1920)/21*-4 + 480/1680 and 5?
1830
Let h(w) = -w**3 + 2*w**2 + w. Suppose -5*a + 7*y + 37 = 4*y, 2*a + 4*y = -6. Suppose 15 = a*v + 5. Calculate the lowest common multiple of v and h(-2).
14
Let l be 0 - -1 - 82/2. Find the common denominator of l/96*114/4 and -7 - 1 - 2623/(-366).
24
Suppose -97*x + 93*x - 5*i + 311 = 0, 5*i + 25 = 0. What is the smallest common multiple of x and 154?
924
Let k(w) = -23*w**3 + 2*w**2 - 11*w - 19. Let b be k(7). Let i = b + 157843/20. Find the common denominator of -47/24 and i.
120
Calculate the least common multiple of 4/50 + 10/(-25)*19822/(-265) and 626.
9390
Let z = 1130 - 1046. Calculate the least common multiple of 1540 and z.
4620
Suppose u = 5*a + 12, -2*u - 2*a + 28 = -44. What is the least common multiple of 216 and u?
864
Suppose -g - 11 = -3*u, -5*g - 23 = 2*u - u. Suppose 3*y = 0, -60*c + 55*c - 2*y + 25 = 0. Calculate the lowest common multiple of c and 10 - 1/(u - 3).
55
Let k be ((-281528)/32)/(6/4). Suppose 5219 = f - 659. Let i = f + k. What is the common denominator of 15/28 and i?
84
Suppose 2*m + m + 18 = -d, -40 = 5*d + 5*m. Let v(a) = 5*a**2 - a + 2. Calculate the least common multiple of v(d) and 15.
150
Let i = 775163/36 + -21530. What is the common denominator of i and 5/288?
288
Let j be (0 + (-2)/8)*410/2. Let a = -779/16 - j. Find the common denominator of -59/116 and a.
464
Let m be (0 + 3 - -7) + 0. Let r be (m/(-60))/(4/7410). Let n = 302 + r. What is the common denominator of n and -23/16?
16
Let k = 10844309/116 + -93486. Find the common denominator of k and -49/8.
232
Let j(x) = 173*x - 1036. What is the lowest common multiple of 2080 and j(6)?
2080
Let w be (-1*5/(-10))/((-2)/(-172)). What is the common denominator of 8/(-4) + (-53)/16 and 78/18 + -5 + w/(-12)?
16
Let m be 132/(-12) + 5 + 72/(-33). Let z be 2/(-10) - (-57963)/(-6435). Let t = m - z. Find the common denominator of -23/12 and t.
156
Let r = 2/493 - 21702/2465. Calculate the common denominator of r and (6/78)/((-3)/81).
65
Suppose 4*y + 5*v + 26 = 2, 0 = 5*y - 3*v - 7. Let l be y/2 + (-71)/(-2) + 0. Find the common denominator of -85/2 and (117/l)/((-4)/7).
20
Suppose 2*j = 5*m + 1415, 0 = 534*j - 529*j - 3*m - 3547. Calculate the smallest common multiple of 568 and j.
2840
Let g = 5228435/86 + -60795. Calculate the common denominator of 5/11 and g.
946
What is the least common multiple of 84 and ((-658)/141)/(7/(-18))?
84
Let n(c) = c**3 - 8*c**2 - 8*c - 11. Let i be n(9). Calculate the smallest common multiple of 5 - (-120)/(-36)*63/i and 70.
770
Let n be 4/(-18) + (76/18 - 2). Suppose -5*f + 5*j - 2*j = -310, n*f - 93 = -5*j. Let o = f + -43. What is the least common multiple of 86 and o?
688
Suppose -28*c + 56 + 56 = 0. Calculate the least common multiple of 20 and (-24)/(-5) + c/(-160)*-8.
20
What is the common denominator of (24/(-160))/((-4147)/(-812)) and 13/110?
1430
Let y be 0*1/(-1 - -3). Suppose y*d - 8 = -b - 3*d, -d = -2. Find the common denominator of (b/36)/((-12)/2502) and 143/6.
12
Let x = -15590 + 41555/3. Let k = x + 1759. Let u = -62833/3195 + -2/3195. Calculate the common denominator of k and u.
3
Let d(b) = -2*b**2 + 17*b + 59. Let m be d(11). Calculate the smallest common multiple of 24 and ((-33)/m)/((-2799)/(-216) + -13).
792
Let n(w) = -246*w - 11. Let z be n(-2). Let t = -278 - z. What is the common denominator of 59/5 and (-4)/6 + (-851)/t?
55
Suppose -2*i + 0*w - 190 = -2*w, -4*i - 405 = w. Find the common denominator of -53/36 and ((-261)/30)/(36/i).
36
Calculate the common denominator of -51/1226 and 109/(-162)*-9 + (-3)/((-9)/2).
11034
Let j = -2132 + 8290. What is the least common multiple of j and 1?
6158
Let t = -296/1774241 + 10609998442317/19516651. Let m = t - 542958. Let x = m + -685. What is the common denominator of x and 40/9?
99
Suppose -2*h + r - 3 - 5 = 0, 14 = -3*h + 2*r. What is the common denominator of -59/4 and 113/h*2*5/200?
40
Calculate the common denominator of 50/31 and (-35)/7 + (-226)/(-54).
837
Suppose 17*r - 16*r - 2 = 0. Suppose 0 = -r*a, -5*a + a = -2*v + 37662. Let w = v + -621493/33. What is the common denominator of 173/30 and w?
330
Let b = 3450 + -2579. Calculate the least common multiple of b and 469.
6097
Let q = -116947/343350 - -901/2289. What is the common denominator of 4/315 and q?
3150
What is the common denominator of (-95)/(-8) + (-3)/(2 - (3 + 5)) and 23/(-2*(-13)/2)?
104
Let y = 869/3 - 7535/26. Let s = 15742030/91 - 172989. What is the common denominator of s and y?
546
Let h = -248571/22 + 11296. Suppose -w = -5*w + b + 48414, -3*w - 3*b + 36303 = 0. Let m = 145339/12 - w. Find the common denominator of m and h.
132
Let b = 235 + -237. What is the common denominator of (6 - b)*(-143)/308 and -30?
7
Find the common denominator of ((-67)/(-4))/(30*(-3)/(-24)) and ((-801)/405 + 0)*(1 - 0).
45
What is the common denominator of (-266)/80*15/18 and 1/((-48)/(-219)) + 126/(-6) + 13?
48
Let y be 2*1022 - (19 + -3)/4. Let r be ((-12)/y)/((-3664)/(-10)). Let n = -509965/1121184 + r. Find the common denominator of -131/18 and n.
288
Let f(l) = l**3 - 27*l**2 + 27*l - 26. Let s be f(26). What is the common denominator of (-1)/(66/(-140)) - s/10 and (-1)/(-8)*25/15?
264
Let z be 20/8*(2 + 0). Suppose -2*n + 8 = -3*x - 4, z*n + 27 = -2*x. Find the common denominator of 69/9*x/(-40) and 7/6.
60
Suppose -3*x + 4*h = 36 - 56, 0 = -x + 2*h + 6. Calculate the smallest common multiple of x and 277.
2216
Suppose -2*f = -3*k + 45, 34*f - 35*f - 45 = -3*k. Calculate the lowest common multiple of (14 - 4)*(-18)/(-15) and k.
60
Let d = 9339 - 7879. Calculate the least common multiple of d and 20.
1460
Let u(j) = 5953*j - 2. Let x be u(4). Let o = -928667/39 + x. Let p = 4420 - 17691/4. What is the common denominator of p and o?
156
Suppose 0 = 8*p - 3*p, 3*m = -p + 12. What is the lowest common multiple of (m/1 - 0)*28/16 and 