d o.
18
Suppose 622*r - 556 = -2*t + 626*r, 0 = -4*t - 4*r + 1064. What is the least common multiple of t and 456?
20520
Calculate the smallest common multiple of 187 and (43 + 2)/(11/(2244/12)).
8415
Let b(t) = -5*t**2 + 9*t - 1. Let l be b(2). Find the common denominator of 15/11 and 3421/1980 - l/(-15).
396
Let g be 88/4*-1 + (1 - 0). Let s be ((-18)/4)/(g/196). What is the common denominator of -9/10 and ((-90)/s - -2)/((-36)/994)?
90
Suppose 0*s - 1815 = 11*s. Let g = 173 + s. What is the smallest common multiple of 15 and g?
120
Calculate the common denominator of -50/1157 and (-48)/182*((-462)/(-836))/3.
21983
Let t = -4 - -10. Suppose 0 = -5*c - 64 + 199. What is the smallest common multiple of c and t/(-33) + (-468)/(-33) + 4?
54
Suppose -3*n = 5*x - 24 + 5, 2*x + 2*n - 6 = 0. Calculate the common denominator of (-1)/x*(-172)/(-32) and 23/44.
440
Suppose 8*j = -10*j + 7204 + 14180. Calculate the least common multiple of j and 198.
1188
Suppose 10*l + 122 = 32. Calculate the smallest common multiple of 126 and (19 - 21)/(l/(-15) - 1).
630
Let o(t) = 3*t + 338. What is the least common multiple of 46 and o(-96)?
1150
Let p(z) = z**2 - z - 3. Let q be p(3). Suppose 0 = 5*v - 4*s + 7, q*s = -4*v - 11 - 7. What is the common denominator of -51/14 and v/9 + 109/114?
798
Find the common denominator of 1 - 1 - 720/(-2112) and -93/20.
220
Let q be 2 - 2 - (7 + -3). What is the common denominator of -2/5 and (3 - 76/3) + q/2?
15
Let x = 497 - 455. Suppose 46*p = x*p + 20. What is the least common multiple of 374 and p?
1870
Let x(j) = 26*j**3 + 4*j**2 - 4*j + 1. Let c be x(2). Suppose -3*r = -2*h - c - 121, 0 = r + 5*h - 90. Calculate the least common multiple of 66 and r.
330
Let o = 128298915/2419 - 53038. Find the common denominator of o and -59/7.
16933
Let i(f) = -2417*f**2 - 5*f - 2. Let b be i(1). Let j = 4006/3315 - 1/390. Calculate the common denominator of j and (b/(-72))/(32/(-6)).
272
Let x be -3*82/(-1106)*-29. Let b = x - 66/79. Find the common denominator of (-2)/(-9) + (-3 - 1919/(-396)) and b.
308
Suppose -7*c + 4*c + 4500 = 3*c. What is the lowest common multiple of c and 200?
3000
Let c(k) = k**3 + 10*k**2 + 13*k - 10. What is the smallest common multiple of c(-6) and 9?
504
What is the common denominator of (-2328)/135*-1 - 16 and -14/2775?
8325
Find the common denominator of 173/(-13)*(-12 + (-1805)/(-150)) and -117/10.
390
Suppose -3734 = -36*b + 1378. Suppose b = 2*t - 212. What is the smallest common multiple of t and 3?
177
Suppose 2281*y + 13 = 5*i + 2282*y, -i + 4*y + 53 = 0. What is the least common multiple of -3*(0 + 16/(-6)) and i?
40
Let u(i) = 22*i + 94. Let f be u(-7). Let q = f - -81. What is the lowest common multiple of q and 123?
861
Let x = -509654 - -33127456/65. Let n = -13852/31425 - -1/1257. Find the common denominator of x and n.
325
What is the least common multiple of 20 and 5 + 5 + 14693 - (-99)/9?
147140
Suppose 596*x - 19608 = -221*x. What is the lowest common multiple of x and 11919?
95352
Let k(h) = 2*h**2 - 2*h. Let f be k(2). Suppose 6697*x + 56 = 6711*x. What is the lowest common multiple of x and f/(-10) - (-64)/10?
12
Let c = -276/607 + 40693/160248. What is the common denominator of c and 103/176?
528
Find the common denominator of (-686)/(-264) - (3 + 217/(-77)) and ((-83)/(-1992))/((-5)/(-2)).
60
Let x(n) = n**3 - n - 12. Let p be x(0). Let k be (3/(-2))/(27/(-54)). What is the common denominator of (-369)/(-6)*1/p - k and 91/2?
8
Let n = -26 + 73. Suppose t = 22 + n. Let p = t - 49. What is the smallest common multiple of 16 and p?
80
Let y(w) = w**2 + 4*w + 1. Let h be y(-6). Let g be (-1)/((-3)/(-23)) + h/(-39). Let c(v) = v + 14. Calculate the lowest common multiple of c(g) and 10.
30
Let i = 88 + 116. What is the smallest common multiple of (-2546)/67 + 40 - (-3 - -1) and i?
204
Let u be 18/2184*(406 - (5 - 3)). Let m = 9/91 + u. Let l = 27037/10 - 2698. Find the common denominator of l and m.
70
Let r be 6 + (-5 - 2483) + 1. Let o = -14971/6 - r. Calculate the common denominator of -107/6 and o.
6
Let b = -47821/144 + 332. What is the common denominator of -73/8 and b?
144
Let t = -1698 + 2748. What is the smallest common multiple of t and 875?
5250
Let s = 2047 + -5374. Let r = -39793/12 - s. Calculate the common denominator of -137/402 and r.
804
Let l(p) = -932*p + 19620. Let o(i) = 18*i - 6. What is the lowest common multiple of l(21) and o(6)?
816
Let j = 23588/7 + -1273045/378. Calculate the common denominator of j and 89/294.
2646
Suppose v - 12*v + 748 = 0. Let u = v + -62. Calculate the lowest common multiple of 0/(0 + -1) - -9 and u.
18
Let q = 10529/15 + -3583/5. Calculate the common denominator of q and -47/290.
870
Calculate the smallest common multiple of (-1)/((-5)/(-100)*-3*4/48) and 7.
560
Calculate the least common multiple of 216 and (-4480)/15680 + (1 - 13603/(-7)).
1944
Suppose -10*n + 48 - 8 = 0. Suppose n*w - 6 = -2*x + 2, -3*x - 5*w = -10. Suppose 160 = -x*m + 8*m. Calculate the least common multiple of m and 16.
80
Let p = -22 + -40. Let b = p + 149/3. Calculate the common denominator of b and 43/27.
27
Suppose -29*b + 10*b + 228 = 0. Find the common denominator of 327/132*b/(-30) and 155/66.
330
Let f(x) = -x**2 + 42*x + 2347. Calculate the least common multiple of f(-31) and 630.
1260
Suppose n + 5*g - 19 = 0, 2*n + 4*g - 28 = -2*n. Suppose -n*j + 710 = -14*j. Let t = j + 115. Calculate the smallest common multiple of 11 and t.
44
What is the common denominator of -10/39 and ((-21)/(-236))/(-21)*(-352)/(-120)?
11505
Let o = -18945 + 51834. Let j = o - 4637378/141. What is the common denominator of 31/24 and j?
1128
Let f be -3 + -2 + (-7 - -8). Let r(o) = 11*o**2 + 4*o - 6. Let q be r(f). What is the common denominator of 1/7 and (-1282)/q + (-6)/(-33)?
7
Let z(b) = b**2 + 22*b - 4453. Let l = -7 - -11. Calculate the least common multiple of (-2)/4 - (-18)/l and z(-79).
100
Suppose 46 + 22 = 4*b. Let x(t) = t**3 - 16*t**2 - 17*t + 6. What is the least common multiple of 66 and x(b)?
66
Let j = 7/4338 - -206299/1192950. What is the common denominator of 52/605 and j?
3025
Suppose 4*o = -j + 475, 36*o + 1823 = 4*j + 41*o. What is the least common multiple of 3 and j?
447
Let y(q) = -q**3 + 20*q**2 - 19*q - 12. Let r be y(19). What is the common denominator of (26/22)/(4/r) and -19/139?
1529
Let p(w) = -w**3 + 4*w**2 + 8*w - 4. Let u = -86 + 95. Suppose u*a = 6*a + 18. What is the least common multiple of a and p(5)?
66
Let f be 28/(-266) - (-1046047)/(-342). Let p = 3054 + f. Calculate the common denominator of p and 41/208.
1872
Suppose z - 1211 = 5*k, 15*k + 4876 = 4*z + 11*k. Let b = 3616/3 - z. Calculate the common denominator of b and 119/10.
30
Suppose 4*u - 120 = -6*u. Suppose 5*m + u = 11*m. Let p(k) = -k**3 + 8*k - 7. What is the lowest common multiple of p(m) and 5?
5
Let p = -52860/200653 - 8/1231. What is the common denominator of p and -65/1304?
1304
Let k = -63801/10 - -6374. Let g be (39/5 - 6)*(-20)/(-6). Find the common denominator of k and g/(-14) - (-31713)/(-4158).
90
Suppose 104 = 10*t - 8*t. Suppose 25 = -5*h, -2*h - t = -3*c + 3*h. Calculate the smallest common multiple of c and 70.
630
Let s = -2236180/217 + 10305. Calculate the common denominator of 157/2604 and s.
2604
Let a = -91781/4 + 22938. What is the common denominator of a and 8/20 + 22/360?
180
Let m(b) = b**2 + b + 2. Let p be m(2). Calculate the common denominator of -25/94 and p/(-18)*((-2925)/(-208) - 6).
564
Let f = -33703/11 + 3068. What is the common denominator of f and ((-308)/(-40) - 8) + (-8645)/2100?
132
Let w = -525 + 1627/3. Let t be (177/(-2))/((5760/2388)/(-16)). Let s = t - 2299/4. Find the common denominator of w and s.
30
Suppose 0 = -u - l + 48, -u + 3*l = 7*l - 45. Let h = -49 + u. Suppose 3*f - 15 - 48 = h. Calculate the least common multiple of 21 and f.
21
Suppose 2*a - 23*v + 22*v - 186 = 0, 3*a - 4*v - 269 = 0. Calculate the lowest common multiple of 513 and a.
2565
Suppose 0 = 27*t - 25396 - 34139. Calculate the least common multiple of t and 165.
24255
Let y = -735 + 21332/29. Let t be (-17240)/44 + (-3 - (-31)/11). Let w = t - -3496/9. What is the common denominator of w and y?
261
Let w(v) = 67*v + 4411. Calculate the lowest common multip