What is the common denominator of x and (70/100)/((-16)/d)?
112
Suppose 23*q = 36*q + 38*q - 79662. Calculate the lowest common multiple of 852 and q.
9372
Let w(f) = -1349*f**2 + f - 4. Let k be w(-3). Let j = -400835/33 - k. Let u = -50323/165 - -1531/5. What is the common denominator of u and j?
33
Let z = -68630112 + 343631030032/5007. Let n = z + 1/3338. Find the common denominator of 125/12 and n.
12
Let a = -40347 + 17349193/430. What is the common denominator of 37/1935 and a?
3870
Let v = 15 + -15. Suppose 2*z - 2*u - 18 = v, u = -5*z - u + 80. Calculate the least common multiple of 70/3*(-3)/(-1) and z.
70
Let t = -6865323/6110 - -14604/13. Find the common denominator of t and 47/30.
1410
Suppose 0*q = q + 2*q. Suppose q = 12*x - 13*x + 20. Calculate the least common multiple of 16 and x.
80
Let h = -1063889/87 + 12228. Find the common denominator of h and -19/474.
13746
Let p be 6 + ((-1)/(-2))/((-7)/14). Suppose -p*a + 4*j + 45 = 2*j, 2*a = j + 18. Suppose 4*b - 36 = -0. Calculate the smallest common multiple of b and a.
9
Calculate the common denominator of 53/994 and ((-4)/(-72))/(355/555).
2982
Let v = 35426615/24856 + -18528/13. What is the common denominator of v and 79/10?
9560
Let a = -64 - -31. Suppose -30*y + 255 - 885 = 0. Calculate the common denominator of y and (a/40)/(4/30).
16
Let z = -1565/4 - -769/2. Calculate the common denominator of z and (14/48)/(1/(-27)).
8
Suppose 19 + 191 - 30 = 9*n. What is the lowest common multiple of 885 and n?
3540
Let h be 222/(-8) - 15/(-20). Let t be h/6*(-24)/(-18). What is the common denominator of -67/12 and (-23)/t + (33/12 - 3)?
12
Suppose -20*z - 517 + 8977 = 0. What is the least common multiple of z and 658?
5922
Suppose 76*m - 117 = 73*m. Suppose -269 = -5*f + 236. Let v = f - 95. What is the lowest common multiple of v and m?
78
Let l = -376/13221 + 56/339. Find the common denominator of ((-8)/(-1))/224*(-8848)/252 and l.
819
Suppose 5*o = -5*c + 285, 4*c - o - 297 = -94. Let i = c + -51. What is the common denominator of i/(0 + -4) + 1540/224 and 15/8?
8
Let y = 5328 - 5326. Calculate the least common multiple of y and 363.
726
What is the common denominator of 2125/(-1428) - ((-20 - -18) + (-26)/(-12)) and -69/1120?
3360
Let v = 5656440184843/9774 + -578723161. Let g be (13/21177*4/(-6))/2. Let u = v - g. Calculate the common denominator of u and -62/3.
18
Let g(w) = w**3 + 12*w**2 - 24*w + 64. Calculate the least common multiple of g(-14) and (-40)/(-2) - 40/(-10).
24
What is the common denominator of (-7)/((-2856)/(-1084)) - (-2)/((-30)/(-5)) and ((-1)/15)/((-8)/678)?
340
Suppose 16145 = 114*n + 208*n + 689. What is the lowest common multiple of n and 144?
144
Let l = -16079/1221600 - -64/1527. Calculate the common denominator of 21/110 and l.
8800
What is the common denominator of -33/1544 and (-306)/176 + (-112)/(-308) + 10/8?
1544
Suppose -2*s + 6*l - 7*l = -94, -l + 143 = 3*s. Suppose 231 - s = 3*p + x, p = -3*x + 66. Calculate the smallest common multiple of 4 and p.
60
Let x(l) = l**2 - l - 48. Let h be x(-6). What is the common denominator of 31/82 and h/(-8) - 1/2*-7?
164
Find the common denominator of (-12)/(-72) - (-1897)/(-1050) and -61/3625.
3625
Let l = 225 + -106. Suppose -b = 104 - l. Calculate the lowest common multiple of 11 and b.
165
Let p be 3 + (-2 - -2) + (-846396)/10062. Let y = p + 1050/13. Calculate the common denominator of y and 41/10.
430
Let r be 5 - (44/4)/1. Calculate the least common multiple of 77 and -6 - -166*r/(-12).
77
Let h(u) = -97*u - 7. Suppose 734 = -3*n + 731. Calculate the least common multiple of h(n) and 99.
990
Calculate the common denominator of ((-3)/(-45))/(5076/(-9635)) and 133/144.
1296
Suppose 3*n - 5*g = -111, -5*n - 39*g = -36*g + 185. Find the common denominator of n and -41/1305.
1305
Calculate the common denominator of -115/48 and 6 + ((-718)/20)/(189/45).
336
Suppose -5*v + 121 = 4*o, -4*o + 37 = -8*v + 9*v. Find the common denominator of (138/(-805))/(2 + (-54)/v) and -23/80.
80
Suppose -9000*v = -8997*v - 15. Calculate the smallest common multiple of v and 435.
435
Let y be ((-38)/46)/(-5 - -3 - -22). Let x = 24477/3220 - y. Calculate the common denominator of x and -103/12.
84
Suppose -3*o + 625 = 22*o. What is the smallest common multiple of o and 33/(-198) - (-2)/((-36)/(-2613))?
725
Suppose 3*k + 0*k - 6 = 0. Suppose -5*q + 10 = k*m, 2*q - 3 = -3*m + 1. Calculate the smallest common multiple of 18 and (1 - m)/((-17)/(-340)).
180
Let s = 6150/79109 - 9/478. Calculate the common denominator of 67/10 and s.
3310
Let c = 11147 - 447. Suppose 2127 = 2*x - x - 3*b, -5*x + 2*b = -c. Find the common denominator of 10/7 and 14/91 + x/104.
28
Let p = 1/18725 - -1216953/3220700. Find the common denominator of 1/4*(-8)/32 and p.
688
Let r be ((-1818)/(-15))/(14/15*-2). Let o = -65 - r. Let a = 42961/29100 + 17/2425. Calculate the common denominator of o and a.
420
Let g(d) = -6*d**2 + d**2 - 14 + 14*d + 0*d**2 + 4*d**2. Let j be g(16). What is the common denominator of 145/78 and 0 - (5/100)/((-1)/j)?
390
Let z(k) = -2*k**2 - k**2 - 10 + k**2 + 26*k. Let d(u) = u**3 + 50*u**2 + 139*u - 82. Let m be d(-47). What is the lowest common multiple of z(m) and 6?
42
Let u = -916 + -107. Let a = -1019 - u. Suppose -p = 4*t + 13, 0 = p - 3*t - 10 - 5. Calculate the least common multiple of a and p.
12
Calculate the least common multiple of 28/(-11)*(-7 - (-33)/22) and 1156.
8092
Let f = -18097 + 4650946/257. Let w = 10/19 - 593/152. Find the common denominator of w and f.
2056
Let k = 1932/235 - -45/94. Let w = -12546933 + 225916789/18. Let o = w - 4003. Find the common denominator of o and k.
90
Suppose -24 = -5*w + 4*o, 0 = w - 5*o + 11 + 1. Suppose 19*r - 17*r + 4*t = 38, -r + 23 = -2*t. What is the least common multiple of 9/(-12) + 534/w and r?
462
Let a = 77155/9 - 8576. Let q = 10/444603517 - -31092457716041/1703720677144. Let z = q - -1/3832. What is the common denominator of z and a?
36
Suppose 0 = -2*y - 2*v + 2 + 10, 4*v - 18 = -2*y. Let c be 118/2 - (-1 - y). Let x = c + -55. What is the least common multiple of x and 3?
24
Calculate the common denominator of -179/180 and ((-8319)/2350)/((-216)/(-15)).
720
Let j be 23084*(75/328)/5. Suppose 29*b = 32*b + 5*y - 3193, -b = -3*y - 1041. Let m = b - j. What is the common denominator of 23/8 and m?
328
Find the common denominator of 1/1050 and 5/3 + (-12 - 6/180*-417).
1050
Let h = -5743973/122 - -47082. Let k be -4199*-3*7/3906. Let t = 7/93 - k. Calculate the common denominator of h and t.
122
Calculate the smallest common multiple of 6/10 + (-21492)/(-180) and 636.
6360
Suppose -5*b + 234 = -2*b. Let m = -32953/2396 + 2/599. What is the common denominator of (-1197)/(-78) + 12/b and m?
4
What is the common denominator of (8 - (-27698)/(-3465))/(2 + 130/(-61)) and -26/231?
13860
Let x be (-7)/(-70)*-78 + 1/(-5). What is the smallest common multiple of (-7287)/(-84) - 10/x and 64?
704
Let t = -3/97849 - -2347886782/880641. Let q = -5275 - -7949. Let r = t - q. Find the common denominator of -17/20 and r.
180
Let a(h) = h**3 - 6*h**2 + 4*h - 2. Let q(c) = -4*c**3 + 642*c**2 - 318*c + 442. What is the lowest common multiple of q(160) and a(6)?
8382
Let w be 12*27/(8*1/2). Let h = w + 29. Calculate the least common multiple of h and 1.
110
Calculate the common denominator of 0 - -5 - 13 - (-140)/25 and -13/1979.
9895
Calculate the lowest common multiple of (-230 + 265)/(-1*1/(-2)) and 70.
70
Let q(c) = c**3 + 18*c**2 - 20*c + 13. Let j be q(-19). Suppose -24*s + j*s = 48. Suppose -x = -0 - 3. What is the smallest common multiple of x and s?
6
Suppose -5*r + 4*y = -184, 0 = 5*r + 2*y - 240 + 32. Calculate the least common multiple of r and 1030.
4120
Suppose 4*r + 8664 = 2*i, -3*r + r - 8668 = -2*i. Let h = -160444/37 + i. Let b = 181/444 + h. Calculate the common denominator of 149/6 and b.
12
Let k = -834/179 + -202884/2327. Let z = -11719/130 - k. Let b = 8817/4 + -2193. What is the common denominator of z and b?
20
Let b = 906 + -859. Suppose -b - 43 = -9*w. What is the smallest common multiple of 22 and w?
110
Let d = -25 + 33. Suppose -2*w = 2*b - 6, -1 - d = -w - 3*b. Suppose w*y = -6*y + 72. What is the least common multiple of 70 and y?
420
Let x = -552 - -557.