mon multiple of 680 and 1225 + (9 - (12 + -1 + -1))?
6120
Calculate the common denominator of 102804/(-11424) + 9/4*4 and 41/4.
952
Let j(d) be the third derivative of 11*d**4/24 - 59*d**3/6 + 91*d**2. Calculate the smallest common multiple of j(6) and 14.
14
Suppose -2*x - x + 15 = 0. Suppose x*h + 165 = 5*k, 0*k = -3*h + 4*k - 103. Let u = h - -44. What is the least common multiple of u and 3?
15
Suppose -5*d + 10 + 0 = 0, -5*d = -3*y + 50. Let t = -195 + y. Calculate the smallest common multiple of 4 and (-900)/t*7/1.
36
Let r(p) = 137*p - 3. Let a be r(1). Let o = 143 - a. What is the least common multiple of o and 2?
18
Calculate the least common multiple of 1419 and 3612/(-30)*(3 - (-33)/(-6)).
9933
Let f = 70/23103 - 1221797/4204746. What is the common denominator of -26/5 and f?
2730
Let k = -574/359 - -245901/141446. What is the common denominator of k and -19/10?
1970
Let u = -229 + 219. Let v = 123/104 - -5/26. Find the common denominator of v and 42*(u/(-65) + 176/(-637)).
56
What is the common denominator of ((-2)/(-18)*28608/(-3328))/(2/(-4)) and 55/288?
3744
What is the common denominator of -19/136 and (-2)/72*(-255)/40?
1632
Let p = 7838 + -188155/24. Let g = 632815/11781 - 1/1683. Let v = 4841/84 - g. Calculate the common denominator of p and v.
24
Suppose -3*n - f - 26 = 0, 6*f - f + 18 = n. Let u be -1*n/(1/1). What is the lowest common multiple of 4 + -2 - (1 - u) and 8?
8
Suppose 3*a + 10 = 4*p - 20, 5*p + a = 47. Calculate the common denominator of 1/4 and (4 - p) + 0 - 115/(-140).
28
Let n(k) = -86*k - 1814. What is the least common multiple of n(-24) and 50?
250
Let m = -115 + 819. Calculate the common denominator of -9/4 and (-25080)/m*-1*(-2)/(-51).
68
Let n(r) = -r**2 + 899*r - 6235. Let y = 24 - 16. Calculate the smallest common multiple of y and n(7).
72
Let x(a) = a**3 - 30*a**2 - 31*a + 25. Let w be x(31). Find the common denominator of 4/(-10) + 381/60 and -3 - w/70 - -2.
140
Let r = 2022241/74 + -27327. What is the common denominator of r and ((-2)/((-20)/34))/(4/6)?
370
Suppose -4*h + h + o - 29 = 0, -20 = 5*h + 4*o. Calculate the smallest common multiple of 173 and 114/12 - 4/h.
1730
Let j = -941492 - -310692599/330. Let g = j + -14/33. What is the common denominator of g and -131/84?
420
Suppose -2*m + 132 = 2*m. Suppose 24*h + 36 = m*h. What is the lowest common multiple of 49 and h?
196
Let t = -17 - -32. Let w be (-1)/(8/(-8))*-23*1. Let c(j) = -2*j - 28. Calculate the smallest common multiple of t and c(w).
90
Suppose 33*f = -3*s + 37*f - 373, -4*f = 2*s + 282. What is the common denominator of -43/16 and -8 - -14 - 4 - s/(-40)?
80
Suppose 2*v - 6402 = -5*z, -4*v - 1056 + 13870 = 5*z. What is the common denominator of (3/162)/((-1)/3) and v/624 - (-8)/52?
72
Let a(s) = 9*s**2 + 4*s - 4. Let k be a(1). Let b = -6 + k. Suppose 5*h = -4*r + 60 + 10, -3*r + 3*h = -39. Calculate the least common multiple of r and b.
15
Let f = 22/7069 + -863797/2714496. Calculate the common denominator of f and ((-121)/22)/((-28)/18 - -1).
1920
Calculate the common denominator of 41/4442 and 47*(-4)/704 + 6/(-11).
35536
Let f(l) = 6*l**2 + 16 + 7607*l - 7577*l + 5 - l**3. Calculate the smallest common multiple of f(9) and 9.
144
Let r = -42398050 - -181633244999/4284. Let j = r - -9/476. What is the common denominator of -50/11 and j?
1683
Suppose 2*x - 18 - 38 = 0. Let g = -37 + x. Find the common denominator of -41/10 and 69/20 - (g/3 + 4).
20
Let f = 758917/300 - 55316/25. Let m = f + -1015/3. What is the common denominator of m and 93/44?
44
Let a(b) = -b**2 + 10*b + 32. Let o be a(-4). Find the common denominator of (o + (-1)/1)/((-348)/29) and 95/174.
348
Calculate the least common multiple of (13/((-52)/384) - 4/(-1))*-4 and 36.
3312
Find the common denominator of ((-676)/(-333) + -2)/(1128/(-2115)) and -9/740.
2220
Let k(s) = 6*s + 8. Let g be ((-14)/(-6))/((-18)/(-54)). Calculate the least common multiple of 5 and k(g).
50
Suppose 0 = 5*o + 5*n + 85, 72*n - 73*n = -5*o - 97. Let r(w) = -w**2 - 9*w + 6. Let f be r(-5). Let b = f + o. What is the least common multiple of b and 54?
378
Let r = 288/17 - 743/85. Calculate the common denominator of r and 28/5.
5
Suppose 8*x - 3*x - 38 = -2*w, 3*x = 3*w - 57. Let m be w/5 - (-4)/(-5). Suppose -4*c = 12, 3*y + m*c = -0*y + 39. What is the least common multiple of y and 6?
48
Let k be (7 + -5 + -2)/(0 + 2). Let z(a) = 6*a**2 - a + 44. Calculate the least common multiple of z(k) and 20.
220
Let r = 1667/9 + -97289/522. Let m = 301 - 208. What is the common denominator of r and (m/9)/(6 - (-104)/(-24))?
290
Let r = -1854311/144 + 25755/2. Find the common denominator of r and 151/90.
720
Let g(m) = -10*m - 6. Let u be g(-2). Let x = 19 + -29. What is the common denominator of (-178)/x*7/u and -11?
10
Let r = -34234 + 718933/21. Let l = -1634873/90 + 18165. What is the common denominator of r and l?
630
Let v = 89 + -32. Let t = -54 + v. Calculate the lowest common multiple of 21 and (t/(21/4))/(4/14).
42
Suppose -13 + 19 = 3*f. Suppose 0 = 2*b - 0*b + 4*q - 60, 0 = -f*q + 8. What is the lowest common multiple of ((-14)/(-1))/(-6 + 7) and b?
154
Suppose -38*b = -16*b + 16918. Let u = b - -793. What is the least common multiple of u and 60?
120
Suppose -3661 = 215*u - 218*u + i, 4*u - 3*i - 4893 = 0. What is the smallest common multiple of 70 and u?
6090
Find the common denominator of 39/(-4)*14/(-168) and 119/984.
1968
Let k be (93586/12 - -2) + 7. Let v = 7784 - k. Find the common denominator of 17/18 and v.
18
Suppose 0 = -22*j + 4774 - 3002 + 12968. Calculate the lowest common multiple of 14 and j.
4690
Let r(z) = 8*z - 49. Let w(f) = -4*f + 24. Let h = 40 - 50. Let u(c) = h*w(c) - 4*r(c). What is the smallest common multiple of 38 and u(6)?
76
Suppose -7*s + 9*s = 3*p - 73443, 2*p - 48969 = -s. What is the common denominator of 105/136 and 3 + p/(-6783) + 4/38?
952
Suppose 45 = 4*a - 87. Let b be -1*(4 - (-2 - 9)). Let x = b - -25. What is the smallest common multiple of a and x?
330
Let r = -21/671 + 29021/5368. Find the common denominator of r and 69/4612.
9224
Let t = 6618 + -211739/32. Calculate the common denominator of 113/510 and t.
8160
Let j = 1/169398979563 - -3130434191479351253/139415360180349. Let q = j - 22454. Let b = -71701/8230 + q. Calculate the common denominator of b and 75/22.
110
Let v = -151 - -80. Let b(a) = -4*a**2 - 6*a + 4. Let l be b(-5). Let q = l - v. What is the least common multiple of 10 and q?
10
Let m = -29027/122 + 23848822/100223. Calculate the common denominator of m and 61/1166.
36146
Suppose 0 = -4*y - 287 + 327. Calculate the least common multiple of (-12)/(-5) - (-4 + (-66)/(-15)) and y.
10
Let z be 10/25 + 396/(-15). Let d = 17 + z. Let p(l) = -l**2 - 12*l - 9. What is the lowest common multiple of 6 and p(d)?
18
Let r(k) = -k**3 - 7*k**2 + 24*k + 116. What is the least common multiple of r(-9) and 16?
496
Let g be 38*212656/271368*(-3)/4. Let d = g + 2/3769. Calculate the common denominator of ((-2)/(-9))/(8/(-282)) and d.
6
Let u = -120453/10 - -12051. Let c = 11359/18 + -630. What is the common denominator of c and u?
90
Suppose 2*r - x = 816, 25*r - 2*x + 798 = 27*r. Calculate the lowest common multiple of 360 and r.
3240
Suppose -8*f + 3*i + 6 = -7*f, -136 = -15*f - i. What is the least common multiple of f and 17?
153
Let b = 36 - 34. Suppose b*i = -3*m - 9, 7*i - 2*i - m + 31 = 0. Calculate the common denominator of 370/(-77) + i/21 and 81/10.
110
Let a(g) = -g + 18. Let j be a(22). Suppose 6 = -3*p + 33. Calculate the smallest common multiple of p and (j/6)/(4/(-162)).
27
Find the common denominator of 3/12*250/215 and (-530)/24*2*6/(-100).
860
Let f = -60 + 64. Suppose f*t + 3 = 43. What is the common denominator of 5/8 and (t - 48)/(86*2/(-5))?
344
Suppose -5*r + 366 = 2*i, -379*r + 384*r + 30 = 0. Calculate the lowest common multiple of 30 and i.
990
Let t = -1845 - -2998. What is the smallest common multiple of t and 18?
20754
Let h(r) = 248*r**2 + 34*r - 6. What is the least common multiple of 15 and h(-2)?
4590
Suppose 0 = -2*o + 5 + 3. Let m = -44 - -46. What is the smallest common multiple of o and -1 - m*(-36)/8?
8
Let m(d) = 391*d**2 + d. Let i be m(-1). Suppose 39*q + i = 52*q. Calculate the lowest common mul