-1/12728.
25456
Suppose a = 2*a - 3. Suppose m - f = -175, -5*f - 7 = -2. Let s = 178 + m. What is the least common multiple of s and a?
6
Suppose 165 - 320 + 765 = 61*h. What is the lowest common multiple of 3085 and h?
6170
Let x(h) = 70*h + 3280. What is the lowest common multiple of x(-43) and 90?
270
Let a be (29/(-4) - -8)*8. Calculate the common denominator of -71/16 and 54/(-240) - a/16.
80
Let i be (3/42)/((-6)/1668). Let d = i + 1439/70. What is the common denominator of d and -17/98?
490
Let n(l) = 215*l - 3571. What is the least common multiple of 288 and n(17)?
2016
Let w = -258091/234 - 64/117. Let m = 1138 + w. Find the common denominator of m and (-2800)/600*7/4.
6
Let g(l) = -251*l + 175. Let v be g(-25). Calculate the common denominator of 3/5 + -1 + (-60845)/v and 79/134.
402
Let z be 336/(-224) - (7/(-2) - -2). Suppose -5*p + 11*v + 100 = 7*v, z = -p + 4*v + 20. Calculate the lowest common multiple of 8 and p.
40
Let m = 118621/10 + -11872. Suppose u - 45 = h, -h - 347 + 308 = 2*u. Calculate the common denominator of m and h.
10
Let i be 6*((-3)/(-3) - (-2)/(-4)). What is the least common multiple of 23/3 - ((-48)/(-18) - i) and 36?
72
Let m = 2453/135 - 84/5. Find the common denominator of m and 85/654.
5886
Let g = -63245/18 + 3512. Calculate the common denominator of g and (86/(-55))/(6/(-15)).
198
Calculate the common denominator of (7/(-21))/(1/3*126/(-219)) and -155/168.
168
Suppose 3*u - 5*q = -287, -3*q + 2*q = -3*u - 307. Let v = u + 125. Calculate the smallest common multiple of 15 and v.
105
Let r(f) = f**3 - 4*f**2 - 13*f + 15. Let h be r(6). Let g(p) = -p**2 + 26*p - 142. What is the lowest common multiple of 9 and g(h)?
99
Suppose 2*n = 3 + 6 + 3. What is the least common multiple of 137 and n?
822
Let t(a) = -271*a - 1023. What is the smallest common multiple of 67 and t(-6)?
603
Let i be 165/(-29765)*(-5 + 2). Let a = 360068591/83342 - i. Let f = -4324 + a. Find the common denominator of -101/12 and f.
84
Let n(t) = t**3 - 6*t**2 + 4*t + 7. Let o be n(5). Suppose 4*m = o + 14. Suppose x + d - 40 = -2*d, -m = -d. Calculate the lowest common multiple of x and 18.
252
What is the common denominator of (-189312)/(-16128) + (-38)/42 + 1 and 53/44?
132
What is the least common multiple of 1770 and (-449)/(-3) - (-90)/270?
8850
Calculate the lowest common multiple of (196/140)/((-4)/(-40)) and 592.
4144
Let x = 7726181150147/5664 + -1364085661. Let y = -454/45 + 857017/84960. Let c = x - y. Find the common denominator of c and -7/24.
24
Let k(o) = -8*o + 2. Let w be k(-6). Suppose -2*r = w - 186. What is the smallest common multiple of ((-18)/10)/((-3)/10) and r?
204
What is the common denominator of (110/3300)/((-12236)/(-636)) and -15/14?
30590
Let k = -16430092025/708 + 278069641/12. Let c = -33875 - k. Let b = -15005 + 120057/8. Find the common denominator of c and b.
472
Let x = 18 - 23. Let p(u) = -u**2 - 9*u + 5. Let w be p(x). Suppose -2*f - 3*k + 2 = -17, -3*f = k - w. Calculate the lowest common multiple of f and 1.
8
Let t = -237 - -249. Calculate the least common multiple of t/28 + 66/42 and 10.
10
Suppose -5*h = 125*a - 126*a + 46, 4*h + 160 = 3*a. Suppose -t = 5*j - 35, 3*j - 29 = 3*t + 10. Calculate the smallest common multiple of a and j.
56
Let d = -7705928/4292875641 - -70/39399. Let a = -4685645/22227636 - d. Find the common denominator of 11/16 and a.
816
Suppose 0 = -4*i + 7*i - 15. Suppose -10*n + i*n - 32 = -4*f, 2*n + 8 = 0. Calculate the smallest common multiple of f and (-1)/(-1) - (-13)/((-91)/(-70)).
33
Let r(u) = -u**3 + 35*u**2 + 52*u - 575. Calculate the smallest common multiple of r(36) and 8.
8
Let w(h) = -3*h + 30. Let t be w(9). Suppose -4*c + 963 = -0*o - t*o, 5*o = -4*c + 987. What is the common denominator of 20/88*(c/(-15))/1 and -39/16?
176
Suppose 4*a = 5*b - 3*b + 182, 3*a + 2*b = 133. Let n be 4/10*-1 + (-387)/a. Calculate the common denominator of 2/n + (-1435)/225 and -59/20.
20
Let u = -2052 - -2059. Calculate the smallest common multiple of 469 and u.
469
Let z = -649481/60 - -10825. Let c = -253857181/240 - -1057735. Let b = z + c. What is the common denominator of b and 103/6?
48
Let g = -37 + 49. Let w(t) = t**3 + 78*t**2 - 7*t + 240. What is the least common multiple of g and w(-78)?
1572
Suppose -3*c = -6*c - 1190 + 1199. What is the lowest common multiple of 3 - (-2 - 2)/4 and c?
12
Suppose 11 = -3*j + o, -2*o + 27 - 45 = 4*j. What is the common denominator of 2485/50 + j/(-5) and 81/2?
2
Suppose -3*u - 32*g - 22 = -34*g, 0 = -4*u + 3*g - 31. Calculate the lowest common multiple of (u - 22/(-4))*10 and 45.
45
Let x = 170002/33 + -5150. Let v = 1/5008 - 272945/45072. Find the common denominator of x and v.
198
Let u = 12/17587 + -546205/1477308. Find the common denominator of u and (-3)/2*(-118)/9.
84
Let l(k) = -3*k**2 + 183*k - 656. Calculate the smallest common multiple of l(57) and 1806.
3612
Let x = 228412/9823 - 1103/47. Find the common denominator of -109/190 and x.
2090
Let i be 12/(-48) - 53833/(-20). Let z = i - 2681. Calculate the common denominator of z and -53/6.
30
Let d = 51 - 47. Let k be d*(4 + (-33)/6). Let h(z) = -z**3 - 6*z**2 - 3*z + 6. What is the lowest common multiple of 3 and h(k)?
24
Let g be 15042/63 - 7 - (-12)/(-28). Suppose -4*a + 6*i + 1023 = 3*i, 5*a - 1270 = 2*i. Let x = g - a. Calculate the common denominator of x and -121/6.
6
Let d(a) = -a**3 - 14*a**2 + 54*a + 6. Let w be d(-18). Let v = -329 + w. Let u = -3 + 6. What is the smallest common multiple of u and v?
3
Let u be (-2 - 0)/((-4)/6). Suppose 5*f - 14 + 2 = -3*p, 2*p - 27 = u*f. Suppose 805*v = 471*v - 482*v + 4896. What is the least common multiple of p and v?
18
Suppose 75 = 3*a - 33. Suppose 9*l - 4*l = -100. Calculate the smallest common multiple of a and 28/1*(-10)/l.
252
Let j be ((-56)/(-5))/((-33)/15). Let q be (-18)/72 + (-5990)/792 + 2. Let a = j - q. What is the common denominator of 89/12 and a?
36
Let w = -355968662/1815 - -196126. Find the common denominator of w and 92/1815.
1815
Let o(z) = z**2 - 6*z - 7. Let b be o(7). Suppose b = 3*c + 60 - 81. Suppose c*s + 5*t - 41 = 3*s, 6 = -2*t. What is the lowest common multiple of 18 and s?
126
Let x = -143 - -141. Calculate the common denominator of 22*(-3)/(-40) + (x - 1) and -3/76.
380
Suppose 5*v = 25, f - 130 = -4*v + 6*v. What is the common denominator of (-208)/(-105) - (-2)/7 and 2 - (2 + (f/96 - 3))?
120
Let u(i) = 4*i + 8. Let n = -6 + 0. Calculate the common denominator of u(n) and (8/45 - 14/(-63))*5/(-6).
3
Let k = -301 + 186. Find the common denominator of (0 - -1) + 89/10 and (56/(-35) - -2)/(12/k).
30
Suppose -4*n - 8868 + 11132 = 0. Calculate the least common multiple of n and 5.
2830
Calculate the smallest common multiple of 16 and -3*(-4)/(-60) + 4405/25.
176
Let n = 122 + -93. Suppose 4*h - h - 17 = -u, 5*h + u - n = 0. What is the smallest common multiple of h and 24?
24
Let f = 2121 + -2085. What is the least common multiple of 144 and f?
144
Suppose 12*x + 132 = 58*x + 20*x. Let v = 14848693/1440 - 92800/9. Find the common denominator of v and x.
160
Let a be (-4)/14 + 6512/154. Calculate the common denominator of -7/78 and 0 - (-12)/a - 727/462.
858
Let f(p) = -280*p - 762. Calculate the smallest common multiple of f(-3) and 96.
1248
What is the common denominator of 954/(-848) + 1 + 3 and 49/88?
88
Let b be (38/20)/(-1) - 0. Let o = b - 28/5. Find the common denominator of o and (16 + 368/(-20))/(69/(-20)).
46
Let p(s) = -4*s**2 + 74*s + 6. Let c be p(19). Calculate the common denominator of (-55*c/1960)/((-3)/(-14)) and (1/2)/(15/(-59)).
210
Let a = 626201 + 23986. Let z be a/(-308) + 4/(-7). Let x = 2112 + z. Find the common denominator of x and 57/8.
88
What is the common denominator of -25 + (-94150)/(-3735) + 1/(-4) and -139/2988?
2988
Let u = -3188 + 3223. What is the least common multiple of u and 45?
315
Let m(j) = -2*j**2 + 92*j - 381. Calculate the smallest common multiple of 174 and m(41).
174
Suppose 2*j + 725 = 147. Let a = -287 - j. What is the least common multiple of 19 and a?
38
Let a = 163508276649491299/631935 + -258742238758. Let r = 4/4185 - a. Find the common denominator of r and 43/4.
604
Calculate the lowest common multiple of 15 and (-378)/315*5125/(-10).
615
