4 - 2378/(-11) and 234.
2808
Let g(p) = -p**2 - 530*p + 5954. Suppose 2*k + 3*v - 7*v = 6, -5*v + 24 = k. Calculate the smallest common multiple of k and g(11).
9
Calculate the common denominator of 23/6 and 36595/(-2070) - (5 - 23).
414
Let l = 75/56 + -5/7. Let p = 183069/16 - 11438. Calculate the common denominator of l and p.
16
Let r(y) = y + 5. Let w(x) = x + 5. Let j(s) = 4*r(s) - 5*w(s). Let o be j(19). Find the common denominator of -39/16 and (-2)/(-140)*-457 + o/(-56).
80
Suppose 1 = v - 24. Suppose -4*q - a = -5 + 10, 3*q + v = -5*a. Let l = q - -6. What is the smallest common multiple of 7 and l?
42
Let g = -5/548 + -15979/5480. Find the common denominator of g and -1/30.
120
Let g(k) = k**2 + 84*k - 510. Calculate the smallest common multiple of g(-90) and 597.
5970
Let q(s) = -14 - 6*s + s**3 + 8*s**2 + 11 + 0*s**2. Let y be q(-5). Suppose -74 - y = -4*v. Calculate the least common multiple of v and 8.
88
Let d(k) = 4*k**2 + k + 2. Let m be d(-1). Suppose -m*s - 198 = -0*s + 4*g, 4*s - 4*g = -144. Let n = 44 + s. Calculate the least common multiple of 12 and n.
12
Let y = 108963 - 148734487/1365. Find the common denominator of y and 103/525.
6825
Suppose -32*j = -23*j + 1647. Let k = j - -323/2. What is the common denominator of k and 23?
2
Suppose 5*b - 13 + 3 = 0. Suppose b*x + 70 = 330. What is the common denominator of 61/3 and -2*x/6*(-30)/(-40)?
6
Let g be 6/(-44)*(-4522)/(-2). Let y = g + 625/2. What is the common denominator of (90/(-3570))/(8/56) and y?
187
Let f = 52 + -68. Calculate the least common multiple of 14*(-15)/(-42)*f/(-10) and 13/39 - 34/(-6).
24
Suppose -7*v - 95 = -144. Find the common denominator of 57/28 and (2 - v) + ((-115)/(-10) - -4).
28
Let v = 5836 - 5261. What is the least common multiple of v and 50?
1150
Let w = -103 - -96. What is the smallest common multiple of w - ((-36)/2 - -2) and 7?
63
Let t = -3317249/10 + 333068. Let m = 1350 - t. Calculate the common denominator of 97/10 and m.
10
Suppose -5*h = -5*f + 625, 44*f - 46*f = 2*h - 270. Calculate the lowest common multiple of f and 1209.
12090
Let d(t) = 2*t**3 + 11*t**2 - 41*t - 9. What is the least common multiple of d(3) and 38?
798
Suppose a = -a - 18. Let d = -1/14628 + 332791/58512. Calculate the common denominator of 598/(-120) + a/15 and d.
48
Let v = 3052538949/406 - 7518565. Let m = v + 15/29. Calculate the common denominator of m and 79/356.
2492
Let t = 7261 - 7172. What is the lowest common multiple of 445 and t?
445
Let z be 1868/18 + 474/(-54) + 9. Let m = z - 92. What is the smallest common multiple of 4 and m?
12
Calculate the common denominator of -101/176 and ((-98)/(-16))/((-34)/(-4)).
2992
Suppose 240 = 34*k + 6*k. Suppose -7*v = -5*v - 4. Suppose 22 + 6 = v*p. Calculate the smallest common multiple of p and k.
42
Calculate the common denominator of (-2458)/(-38164) - 34*(-23)/(-11339) and (-67)/(-9) - (-9)/(-6).
5922
Let v(z) = -11*z + 87. Let w be v(9). Let g = 24 + w. Calculate the smallest common multiple of g and (64/(-10))/((-1)/5).
96
Let d be (-1679662)/350 + (-68)/238. Let w = d + 4801. Find the common denominator of 9/55 and w.
275
Suppose r - 4*y = 104, 446*r - 445*r - 107 = 3*y. What is the least common multiple of r and 493?
1972
Let b = -50292123/5 - -1355790331/135. Let y = b - -15535. What is the common denominator of 71/12 and y?
108
Suppose -127 = 9*q - 658. Let n = -56 + q. Suppose -u = -n*u + 60. What is the lowest common multiple of u and 9?
90
Let x = 2018 + -1938. Calculate the least common multiple of x and 25.
400
Let w = -35462 - -40284833/1136. Calculate the common denominator of w and -9/4.
1136
Suppose 237*v - 364 + 1444 = 273*v. Calculate the least common multiple of v and 5825.
34950
Suppose 85806 = -4*o - 2*t, o - 5*o + 5*t = 85827. Let k = -2316943/108 - o. Calculate the common denominator of -51/20 and k.
540
Let l be (-54)/(-4)*(-4)/6. Find the common denominator of 2*(-66)/28 + 0 and ((-6)/l)/(22 - 25).
63
Suppose -2*b - 4*d - 722 = -b, 5*b + 2*d + 3592 = 0. Let j = b - -732. What is the lowest common multiple of 874 and j?
6118
Let n(t) = t**3 + 16*t**2 - t - 9. Suppose -3*j = -8*j - 5*y - 80, 2*y - 32 = 2*j. Calculate the lowest common multiple of n(j) and 1/(-5) + 11/5.
14
What is the smallest common multiple of (-190)/(-40) + -5 - (-5799)/12 and 66?
10626
Suppose 0 = 4*x + 7*x - 902. Suppose -x = -4*a - 2. Calculate the smallest common multiple of 112 and a.
560
Let j(c) = -19*c + 3462. What is the least common multiple of j(156) and 1328?
3984
Suppose 5*u - 1301 = -4*r, -2398*r = -2393*r - 5*u - 1660. Calculate the lowest common multiple of r and 70.
3290
Let c = 4/429 + -14606/2145. Let a = 37 - 39. Calculate the common denominator of c and 127*4/24 + a/2.
30
Let x(p) = 0 + 8 + 2 - 2*p + 21. Let y be x(0). Let c = -9 + y. What is the lowest common multiple of 20 and c?
220
Suppose -5*k + 3*k = 4*k. Suppose k = -6*j + 3*j + 150. Calculate the smallest common multiple of j and 35.
350
Calculate the common denominator of 20/8877 and (-2)/14*(-45017)/218.
17754
Calculate the least common multiple of 22 and ((-1210)/(-15) - 11)*6.
418
Let t(r) = -r - 24. Let z be t(-33). Suppose 760 = z*s + 670. What is the lowest common multiple of s and 10?
10
What is the common denominator of (-3)/8 - ((-9)/(12960/(-3399)) - 3) and -129/220?
5280
Let y(x) = 2*x**2 - 10*x + 264. Let d be y(0). Let j = d - 246. What is the lowest common multiple of j and 208?
1872
Let m(h) = -h + 2. Let l = -22 + 30. Let r be m(l). What is the least common multiple of 8 and (144/27)/((-4)/r)?
8
Let p(q) = 180*q + 151. Let o be p(6). Let l = o + -9825/8. Let c = -4007/4 - -993. What is the common denominator of c and l?
8
Let a = 165 - 144. Suppose -a*z = -26*z + 3*h + 152, 80 = 3*z + h. Calculate the lowest common multiple of z and 63.
252
Let p(k) = -436*k**2 - k - 1. Let t be p(-1). Let d = -25799/14 + 1845. Find the common denominator of (t/(-14))/(6 - 2) and d.
14
Let m be 35/(-21)*129*-3*-1. Let c = m - -1104. Let p = c + -2308/5. Find the common denominator of p and 31/3.
15
Let s = 339/5365 - -5/2146. What is the common denominator of -56/545 and s?
31610
Let c = -16567865/147 + 112706. Calculate the common denominator of c and -89/210.
1470
Let f = -17831/1288 - -705/46. Let u be (-8)/(-24) + 275678/48. Let g = u - 5755. Calculate the common denominator of g and f.
56
Calculate the common denominator of -99/230 and ((-2754)/(-2856))/((-32)/28).
3680
Let s = 3/5176 - 55687/77640. Let q = 3/640 + 4877/640. Find the common denominator of s and q.
120
What is the least common multiple of 869 and 93830/66 + (-4)/(-12)*1?
15642
Suppose -8*p = -3*p + 5*x - 65, 0 = 2*x + 2*x. Suppose 2*u + 0 + 2 = 0. What is the lowest common multiple of p and u + (-3)/(3/(-11))?
130
Let q be 0 - (1/1 - -1). Let z(i) be the second derivative of -3*i**5/20 - i**4/6 - i**3/3 + 1653*i. What is the least common multiple of z(q) and 16?
80
Let z be 1 - (-63699)/(-1404)*-71726. Let c = -3254176 + z. Let b = -1/585 - c. What is the common denominator of b and 61/74?
370
Let i = 7655 + -7654. Calculate the smallest common multiple of i and 22.
22
Let b = 685871/14750 + 2/7375. Find the common denominator of (1323/(-30))/7 + 1 and b.
10
Let z(w) = w**2 + 4*w - 5. Let y be z(2). Suppose y*a + 11233 = 1426. Let v = -11143/8 - a. Find the common denominator of -25/7 and v.
56
Let c = 29 + -17. Suppose 2*w - 14 = -4*n, n + 4*w + 5 = c. Suppose 0 = 4*q + 4*k - k - 39, 0 = 2*q + k - 21. What is the smallest common multiple of q and n?
12
Find the common denominator of -25/1008 and (-260)/(-2184)*(-360)/(-42).
7056
Let o(b) = 27*b**2 + 5*b + 8. Let z be o(-2). Let p = z + -60. Calculate the smallest common multiple of p and 22.
506
What is the common denominator of 3/12 + ((-2)/18)/(600/2850) and -79/160?
1440
Calculate the common denominator of 5/156 and (-8)/(-20) + 4570/(-1800).
468
Calculate the least common multiple of 372 and 6851493/1782 - (-6)/(-3)*(-10)/(-24).
11532
Let w be 4 + 206/8 + (-3)/(-12). Let k be w - -1 - 3/(2/2). Suppose -4*i - n - k = -6*i, 3*i = -3*n + 42. Calculate the least common multiple of i and 40.
280
Let d(h) = -10*h**2 + 145*h + 81. Suppose 0 = x - 2 - 34. What is the lowest common multiple of d(15) and x?
36
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