Calculate the lowest common multiple of 120 and l.
19320
Let c(y) = 8*y + 4. Let d be c(1). Let z = d + -14. Find the common denominator of 29 and 2*(-2)/22*z.
11
Let i = 11762 - 10436. What is the lowest common multiple of 2652 and i?
2652
Suppose -2*i + 266 - 46 = 0. Let g = 121 - i. What is the smallest common multiple of 46 and g?
506
Calculate the common denominator of 121/120 and 42/10*(-3 + (-28990)/(-9630)).
12840
Let y = 318 - 315. Suppose -y*g = 4*z - 121, z - 3*z + g = -53. Calculate the least common multiple of z and 63.
252
Let s = 54793/560 + -692/7. Let f = 1097933/56 - 19605. Calculate the common denominator of s and f.
560
Let a = 27467/47376 + -10/2961. What is the common denominator of -31/324 and a?
1296
Suppose 4*t + 20 = -2*j + 74, 0 = -4*j - 20. Suppose -4*n + 2*n + t = 0. What is the smallest common multiple of n/(-10)*30/(-12) and 16?
16
Suppose 31*i + 152 = 33*i - 3*x, -5*x - 300 = -4*i. What is the lowest common multiple of i and 60?
420
Let x = -18200 - -1528855/84. Let b = 18991/3 - 359650/57. Let w = 4113/152 - b. Calculate the common denominator of x and w.
168
Calculate the common denominator of 61/720 and ((-645)/(-344))/(1782/3).
7920
Let g(c) = 8*c**2 - 1. Let o be g(1). Let n = 123 - 79. Suppose -o*x + 61 + n = 0. Calculate the least common multiple of 27 and x.
135
Let z(o) = -7*o + 43. Let m be z(-5). Let b = m - 70. What is the lowest common multiple of 89 and b?
712
Suppose 16 = -3*m + d, -5*m - 32*d + 29*d - 22 = 0. Calculate the least common multiple of m*(0 + 16/20) - -56 and 16.
208
Let p(o) = 3*o**2 + o + 1. Let i(g) = g**3 - 10*g**2 - 31*g + 139. Let u be i(12). Suppose 11*x - 176 - u = 0. What is the lowest common multiple of p(2) and x?
105
Let f = -571999/572 - -1000. What is the common denominator of f and -53/988?
10868
Let a = 211 + -149. Find the common denominator of a/(-168) + (-8)/12 and -97/4.
28
Suppose 8*s - 1522 = 206. Suppose -34*h = -52*h + s. Calculate the lowest common multiple of 36 and h.
36
What is the common denominator of 10/48*98042/3290 and (-166)/(-36) + (-2)/(-3)?
72
Let r = 132256/119 - 13206/17. Let h = r - 28517/84. Calculate the common denominator of -53/20 and h.
60
Suppose 190*a + 2*f + 790 = 195*a, f - 307 = -2*a. What is the least common multiple of a and 40?
1560
Suppose 4*t = -24*l + 20*l - 24, 3*l + 28 = -5*t. Let g(o) = -o**2 - 20*o - 48. What is the smallest common multiple of 9/(0 - (-2 + 1)) and g(t)?
27
Suppose -2*c + 5*m + 0*m + 282 = 0, 2*m + 4 = 0. Let y = 140 - c. What is the common denominator of 59/9 and y?
9
Let w = -33 - -49. Let r(k) = -k**2 - k + 1. Let p(i) = 7*i**2 - 19*i - 51. Let j(a) = p(a) + 5*r(a). Calculate the smallest common multiple of w and j(15).
176
Let b = 12566887/13713 - 6415/7. Let u be (-8007)/6530 + (-2)/6. Let m = u + b. What is the common denominator of m and 26/27?
270
Let v = -16222512471/50 + 324462296. Let c = -12046 + v. Find the common denominator of -87/22 and c.
550
Let h = 2 + 2. What is the common denominator of ((-40)/(-240))/(6 - (-380)/(-63)) and 13/(-8) - h/(-2)?
8
Let p be (46/(-6) + 8)/((-2)/1079). Let d = p - -611/3. What is the common denominator of 47/248 and d?
744
Let s(f) = f**2 + 23*f - 18. Let a(h) = -4*h + 16. Let v be a(10). Calculate the least common multiple of s(v) and 8.
24
Let v = 12546 - 12360. Calculate the smallest common multiple of 141 and v.
8742
Let j(f) = -4 - 5*f - 8 + 7*f. Let q be j(-12). What is the lowest common multiple of (9/2)/((-3)/q) and 6?
54
Suppose 2*u = -3*r + 19, -4*r + 3*r - u = -8. Suppose 2*z + 2*o - 566 = 7*o, 828 = r*z + 3*o. Calculate the least common multiple of 4 and z.
556
What is the smallest common multiple of 0 + (465 - 2) + 176/(-22) and 364?
1820
Let k = 16507/3 + -5386. Suppose -f + 3 = 0, -5*x - f + 187 + 376 = 0. Let t = k - x. What is the common denominator of -119/10 and t?
30
Let c(v) = -v**2 - 15*v + 2. Let g(p) = 2*p + 3. Let r be g(-7). Let b be c(r). Let m = 70 - b. Calculate the smallest common multiple of 14 and m.
168
Suppose 0 = -121*o + 227*o - 41552. Calculate the lowest common multiple of o and 168.
1176
Let c(p) = -p**3 + 4*p**2 + 8*p + 3. Let i(w) = 0 + w + 4 - 11 + 3. Let j be i(9). Calculate the lowest common multiple of c(j) and 96.
288
Suppose -n - n + 51 = -u, -12 = 4*u. Let r(l) = -l**3 + 22*l**2 + 49*l - 18. Let a be r(n). What is the common denominator of (1/(-3))/(66/(-9) - a) and 31/8?
40
Suppose -20 = -4*t + p, 5*t - 22 = 32*p - 30*p. Calculate the smallest common multiple of (-2 - 0) + -2 + t and 40.
40
Let t(v) = 4*v**3 - 5*v**2 + 9. Calculate the least common multiple of 105 and t(2).
105
Let i = 28 - 12. Suppose -3*u = -i - 5. Suppose -224 + u = -5*b - 3*t, b - 42 = -2*t. Calculate the lowest common multiple of 40 and b.
440
Calculate the common denominator of (-4)/(-14)*(196/(-120))/(8/(-10)) and 103/12.
12
Let y = 10009/361132 + -2/90283. Find the common denominator of y and -97/20.
13180
Suppose 7985 = -10*q - 28665. Let t = q + 40287/11. Calculate the common denominator of t and -22/3.
33
Suppose 7 - 39 = 2*n + 4*z, 0 = -z - 1. Suppose 4*f - 1003*k = -1001*k + 6, 4*k + 6 = 5*f. Calculate the smallest common multiple of f and 2*(n/(-4) + -2).
6
What is the common denominator of -11/145 and 3 + 5*9197/(-18700)?
6380
Find the common denominator of (3/(-1) - 14313/(-4020)) + 22/(-44) and 18/335.
1340
Suppose 3*x = -2*a - 794, 587 = -3*x - a - 209. Let n be (340705/16)/((x/120)/(-7)). Let c = 67243 - n. What is the common denominator of 4 and c?
76
Let h(t) = -1486*t + 11312. What is the least common multiple of h(7) and 320?
29120
Let g be (-38)/(-437) - 7824/46. Calculate the common denominator of g/8*196/9702 and 61/24.
792
What is the common denominator of (-20)/64 - 1 - (-198)/264 and 19/2700?
10800
Let a = 9938768563/2904 + -3422441. Find the common denominator of -97/2 and a.
2904
Suppose 0 = 2*j - x - 216, -8*j + x = -12*j + 414. What is the least common multiple of 1295 and j?
3885
Suppose 5*x = r - 160, 5*x + 57 = -2*r + 332. What is the lowest common multiple of 1160 and r?
1160
Let x = 4808006741232925/50256 - 95670302870. Let c = x - -3/5584. Find the common denominator of -85/42 and c.
126
Let z = -128/15 - -931/30. Let y be (2 + (-3 - 0))/(10 - 9). What is the common denominator of y/5 - 3839/(-220) and z?
4
Let y = 2627 + -2617. What is the lowest common multiple of 4226 and y?
21130
Suppose -3*b - b = -2*w + 20, 4*b - w + 16 = 0. Calculate the least common multiple of 34 and ((-6)/15)/(b/135).
306
Let l(b) = -b**3 - 98*b**2 - 1250*b - 47. Calculate the lowest common multiple of 28 and l(-83).
2576
Let p be 62 + (-4)/(-1) - 1. Calculate the least common multiple of ((-52)/p)/((-2)/(-40)*-2) and 4.
8
Suppose -19 = -23*t + 4. What is the smallest common multiple of (-4)/((-4)/t)*(2 - -32) and 12?
204
Let k = 134 - 136. Find the common denominator of -127/6 and k*4/16 + (-497)/(-42).
6
Let k = -624 + -143. Calculate the lowest common multiple of -3 + 57/18 - k/78 and 25.
50
Let n be 20 + (4 - 39/9)*-12. What is the common denominator of 9/130 and (4 - (-219)/n) + -5 + 1?
520
Let y(p) = 32*p - 1798. Calculate the least common multiple of y(57) and 16.
208
What is the common denominator of 53/1610 and 5 - (-5 - (-70675)/7084)?
3220
Suppose m + m = -2*l + 758, -4*l + m = -1481. What is the least common multiple of 310 and l?
1860
Let h(l) = 4*l**2 + 3*l - 4. Suppose 53*g - 1367 = -83*g - 7. What is the smallest common multiple of g and h(-3)?
230
Let k = 358 - 102. Let m = k + -221. What is the least common multiple of m and 42?
210
Let f be 2/7 - ((-5)/7 - 1). Suppose -f*u = -4 + 2. What is the smallest common multiple of 3 and u?
3
What is the common denominator of -1 + 310/(-24) + 5 and 0 + (-2)/(-11) - (-4985)/110?
12
Let f = -264 + 324. What is the smallest common multiple of ((-5)/(-2))/(31/6 + -5) and f?
60
Let y(m) = -m**2 - 21*m + 6056. Suppose 0*a = 4*a - 56. Let v = a + 2. What is the least common multiple of v and y(-89)?
16
Let z = 12 - -36. Suppose 5*t + r - 21 = 0, -43 = -2*t - r - 40. What is the smallest common multiple of t and z?
48
What is the common denominator of 31/154 and (-4218)/703 + (-1 - -3)*(-3698)/(-1344)?
3696
Suppose -23*d = -169 - 61. Suppose 0 = -3*i + w + 25, -2*i + 0*w + 4*w 