Find the common denominator of 19/(5144 - -24)*(63 + 0) and -97/510.
4080
Let u = 2305 + -1262. Let c = -5238/5 + u. Let a = -2837/143 + 252/13. Find the common denominator of c and a.
55
Let i = 1029/88 - 64003/5720. Calculate the common denominator of -1/40 and i.
520
Let r = 5/399 - 2567/3192. Suppose 0 = 2*u - 156 + 680. Calculate the common denominator of u/(-45)*(-3)/(-4) and r.
120
Let b(g) = -23*g + 49. Let f(i) = -46*i + 99. Let w(u) = -13*b(u) + 6*f(u). What is the smallest common multiple of 10 and w(3)?
130
Let f be (-165591)/(-28665) - 6 - (-4)/26. Let i = f + -1753/1470. What is the common denominator of 35/18 and i?
126
Suppose -2*n = -z - 3*z + 54, 0 = 4*z + n - 51. Suppose -287*i = -286*i - z. Calculate the lowest common multiple of 130 and i.
130
Let s(y) = -6*y + 4. Let c be s(2). Let p be ((-4)/1)/(c - -9). Let l = 1 - p. What is the smallest common multiple of 11 and l?
55
Let k be 4/26 + 312256/(-2028481). Let t = k + -846992/735603. What is the common denominator of ((-41)/4)/((-99)/(-12)) and t?
33
Let m = 19355 + -17953. Calculate the lowest common multiple of m and 9.
12618
Let p(d) = 4281*d**2 + 5*d + 4. Let f = 68 + -69. Let n be p(f). Find the common denominator of (18/64)/(-3)*n/(-90) and 29/10.
120
Let p(o) = -o + 25. Let q be p(5). Suppose 0 = -q*f + 17*f - 117. Let g = -10 - f. What is the lowest common multiple of g and 2?
58
Suppose 4*s + 2*s = 40152. Suppose 2386 = -2*j + s. Let y = j + -4397/2. Calculate the common denominator of -109/18 and y.
18
Let f(b) = b**3 - 7*b**2 + b - 13. Let p be f(7). Let k be (8/p)/(-4)*12. Find the common denominator of 37/6 and k/15*(-170)/(-6).
18
Let l = -156648 - -894930029/5713. Let o be 7597170/(-1279712) + -1 - -13. Let p = o - l. What is the common denominator of 151/36 and p?
144
Let t be (-2)/(-10) + 0 - 574174/(-180). Let l = 3189 - t. Calculate the common denominator of l and 2 + (-394)/136 + 2.
612
Suppose 0 = -3*t + 4 + 14. What is the common denominator of (2 + 952/35)/((-648)/30) and (-19)/(-3) + 2/t?
54
Let h = 1091753/850 - 21798/17. What is the common denominator of 71/4120 and h?
20600
Let y = -198 - -258. Let t = y - 42. What is the least common multiple of t and 36?
36
Let h = 564 - 174. Let t = h + -380. What is the least common multiple of 5 and t?
10
Suppose -55*q = 6*q - 122. What is the smallest common multiple of q and 370?
370
Suppose -2*x = 2*v - 13418, 5*x = -14*v + 17*v + 33569. What is the smallest common multiple of 1 and x?
6712
Let t = 254 - 182. Suppose -4*m - 8*m + t = 0. Calculate the lowest common multiple of 4 and m.
12
Calculate the common denominator of 1769/(-5887) - (1/(-14))/((-2)/(-12)) and 37/4756.
33292
Calculate the least common multiple of ((-208)/39)/(12/(-3762)) and 456.
5016
Suppose -10 = -3*x + 5*f + 23, -3*x - 5*f = -33. Suppose o + x - 37 = -4*r, 2*r = 3*o - 50. What is the smallest common multiple of -7 + o - (-3 - -2) and 18?
36
Let j(d) = 20*d**2 + 75*d - 135. Let a(f) = 7*f**2 + 25*f - 45. Let t(p) = 17*a(p) - 6*j(p). Calculate the least common multiple of 13 and t(-23).
91
Let r(x) = 38*x - 180. Calculate the least common multiple of 273 and r(15).
2730
Suppose -5*j - 2*z - 640 = -10*j, -3*j = -z - 384. Calculate the least common multiple of j and 224.
896
What is the common denominator of ((-10)/65 - 24070/(-5200))/(12/16) and -133/6?
30
Suppose -133*p + 128*p = -2255. Let x = 472 - p. Calculate the least common multiple of x and 192.
1344
Let o = -156 - -164. Let k(w) = w**3 + 7*w**2 - 4*w - 12. What is the smallest common multiple of o and k(-7)?
16
Let v be 14*(-3)/(-3) + (-2)/1. Let i(f) = 3*f - 33. Let k be i(v). Suppose 22 = k*p - p. Calculate the least common multiple of 8 and p.
88
Suppose -8*s + 12*s = -i + 282, -4*s - 3*i + 286 = 0. Suppose s*g - 17*g = 318. Let p = 2 - 0. What is the smallest common multiple of g and p?
6
Let f be (24/(-60) - (-7)/5) + -1143. What is the common denominator of (1/(-18))/(f/(-164) + -7) and -47/6?
54
Calculate the common denominator of 26/(-12) + 2 + 10062/(-1204)*126/(-156) and 275/24 - (-2)/(-6).
24
Suppose -8732 + 22412 = -52*d + 204*d. Calculate the lowest common multiple of 567 and d.
5670
Let w = -348 - -332. Let x(i) = -2*i**2 - 35*i + 6. What is the least common multiple of 42 and x(w)?
378
Let z = -61 - -72. Suppose 9*s - z*s = -4. Find the common denominator of (-175)/(-80)*(s + 28/(-5)) and -27/2.
8
Let m = 88133/111144 - 6/4631. What is the common denominator of m and 50/1041?
8328
Suppose -714 = -810*r + 789*r. Calculate the lowest common multiple of r and 246.
4182
Find the common denominator of (-5)/180*18/(-4)*(-1085)/147 and -13/204.
2856
Suppose -139 - 136 = -48*a - 7*a. What is the smallest common multiple of a and (-9 - -6)/((-2)/44)?
330
Suppose 2*n + 0 = 2. Let d = 1184 - 644. Suppose 6*j + 9*j - d = 0. Calculate the smallest common multiple of n and j.
36
What is the least common multiple of 239 + -247 + 478*8 + (2 - -4) and 56?
15288
Let p(s) = 116*s**2 + 5*s - 1. Let h be p(2). Let v be 1 - (1 + -2) - h/238. Let a = v + 3305/2142. What is the common denominator of a and 1/30?
90
Let g = 17535 + -17527. What is the least common multiple of g and 120?
120
Suppose -4*v = -1391 + 1363. What is the least common multiple of (-131)/(-2) - (-2)/4 and v?
462
Let x(j) = 4*j**2 + 38*j + 142. Suppose -4*i + 6*i = 8. What is the smallest common multiple of i and x(-5)?
52
Suppose -3*g + 4*h - 2*h = -14, 0 = 4*h + 4. Suppose 0 = o - g*o. Suppose o = 7*f - 29 - 55. Calculate the lowest common multiple of f and 40.
120
Find the common denominator of ((-165)/(-4510))/(((-40)/(-46))/(-1 - 1)) and 53/984.
4920
Let w(o) = -o**3 - 8*o**2 + 11*o - 36. Let q = 197 - 119. What is the least common multiple of w(-10) and q?
702
Let x = -1682 + 16799/10. Let d = 4937862002659/434837460 + -1/43483746. Let l = d + -11360. Calculate the common denominator of l and x.
20
Suppose 3*j + 48 + 18 = 0. Let n be -18*j/(-4)*12/(-9). Find the common denominator of 900/n - (-4)/22 and 89/2.
2
Suppose -y + a = -1091, -4*y = 303*a - 298*a - 4409. Calculate the lowest common multiple of 68 and y.
18632
Calculate the lowest common multiple of (-2 - -2 - -5) + -28 + 18 - -13 and 280.
280
Let v = -16 - -27. Let q(a) be the third derivative of -a**5/60 + a**4/3 + 37*a**3/6 + 54*a**2. What is the smallest common multiple of q(11) and v?
44
Let s = -185 - -188. Calculate the lowest common multiple of 7 + -1 + (-3)/s and 49.
245
Let m = 85925/24 + -14341/4. Find the common denominator of m and (-66)/8*9/(-15).
120
Let b = 786/2500582247273 + -496859690588124133323173/2150500732654780. Let i = 231043673 + b. Let g = i + 1820/43. Find the common denominator of -47/22 and g.
220
Let s = 10103/10 + -1016. Suppose 0 = 4*l - 4 + 12. Find the common denominator of s and (-10)/(-55) - 9/l.
110
What is the least common multiple of (5/6*(-1677)/430)/(2/(-736)) and 364?
8372
Let d(k) = k**2 - 2*k - 5. Let p = 27 - 2. Suppose 4*h = -h + p. What is the least common multiple of 22 and d(h)?
110
Let y = 11 - 8. Suppose 2*a - 6*a + 78 = -5*r, -y*a = -2*r - 62. Suppose 528 = 3*q + q. What is the least common multiple of a and q?
132
Suppose 2*v = -3*a + 393, -v + 9*a + 194 = 8*a. Calculate the smallest common multiple of 135 and v.
1755
Let i = -1/9303 - -77783/2400174. Find the common denominator of i and -75/602.
5418
Suppose -4*y - 26 = -2*q - 298, -5*y - 3*q + 318 = 0. What is the least common multiple of 22 + 0 + 11/(55/25) and y?
594
Let u be ((-36)/85)/(10/225). Let n = u - -395/136. Let k = -3/1240 - 6431/620. Find the common denominator of k and n.
8
Let y = 841/6 + -141. Calculate the common denominator of (6470/660 - 8) + (24/(-18) - -2) and y.
66
Suppose 0*l = -3*l - 27. Let n = -12 - l. Calculate the common denominator of -23/4 and (-129)/(-99) + ((-11)/3 - n).
44
Let l = -3/925 + 63831/1850. Find the common denominator of l and 6 - (-4 + 14) - (-7)/((-16548)/(-9333)).
788
Let u be 6/(-66)*(-28463)/1634. Let s = 6/817 + u. Find the common denominator of -47/8 and s.
88
Let z(g) = -g - 4. Let y be z(-6). Suppose y*s = 31276 + 16882. Let w = 794537/33 - s. Find the common denominator of 121/12 and w.
132
Suppose 0 = -89*v - 30*v + 147679. Calculate the lowest common multiple of v and 153.
11169
Let