15. Let n be y(r). What is the lowest common multiple of 15 and 1 - ((-4 - 1) + n/1)?
45
Suppose 0 = -3*p - 8 + 89. Suppose -6*m = -4*m + 5*a + 354, -m = 5*a + 177. Let w = 189 + m. What is the lowest common multiple of p and w?
108
Let d = -11920 - -12211. What is the smallest common multiple of d and 1?
291
Let s = -19/522 - -1868/19053. Calculate the common denominator of 51/(-68)*(1 - 28/(-15)) and s.
1460
Suppose 2*j + 6 + 6 = 0. Let q(z) = z**3 + 6*z**2 - 8*z - 16. What is the least common multiple of q(j) and 64?
64
Find the common denominator of 95/22 and (1/((-24)/30))/((-2768)/160).
3806
Let s be (-6)/16*2175043/91. Let z = s - -8964. Find the common denominator of -53/88 and z.
616
Let x(m) = 18*m - 366. Suppose -52 - 28 = -4*f. Calculate the lowest common multiple of f and x(27).
120
Let l be 3 + (-1 - (5 - 5)). Calculate the common denominator of ((16/(-252))/l)/(2/17) and 74/21.
63
Let i(v) = -v**3 + 5. Suppose 382 = 3*w - 4*d - 13, 5*w - 5*d = 650. Suppose -29 = 12*s - w. What is the least common multiple of s and i(0)?
40
Let t = -9033 - -14436. Calculate the lowest common multiple of t and 4.
21612
Let z be (-1066)/(-413)*(-1271)/(-738). Let a = 1/1239 - z. What is the common denominator of -62/3 and a?
9
Suppose 3*c + 861 = 4*i, -i = 81*c - 77*c - 220. What is the lowest common multiple of i and 5?
1080
Suppose -12 = -3*r + 3. Suppose 0 = 2*t - 3 - 5. Suppose 0 = -2*u - t*a + 10, u - a = -u + 10. Calculate the least common multiple of r and u.
5
Suppose 2*k - 36 = -3*r, -3*k = -3*r - 0*k + 36. Let b be 1 + -1 + r/(-6) + 0. What is the common denominator of 4/10 - b/(80/199) and -19/7?
56
Let a = 676/21 + -6434/189. What is the common denominator of (-6)/(-25)*(-7030)/152 and a?
270
Calculate the common denominator of -55/138 and (-415 - -7)/(-6)*7*9/(-360).
690
Let a(d) = 2*d + 222866. Let u be a(0). Let i = u + -1817395/8. Let m = 4302 + i. Find the common denominator of m and -89/14.
56
Let s = -7199/56 + 1031/8. What is the common denominator of s and 19/1648?
11536
Let m(y) = 16*y + 107. Let g be m(-8). What is the common denominator of 9/g + 4455/(-5236) and -41/10?
340
Let m = -3911/11486086 + -1/3566. Let c = 2200267/9049 - 46515367027/174880974. Let n = c + m. Find the common denominator of n and 53/30.
30
Let j = -1805 + 1875. What is the smallest common multiple of j and (-3058)/(-55) + (-4)/(-10)?
280
Let h(t) = -t**2 - 24*t - 99. Suppose 3*n - 3*k + 47 = k, -2*k - 2 = 0. What is the least common multiple of 4 and h(n)?
20
Calculate the common denominator of 23/22 and -1 + (-9365)/3124 - (156 + -160).
3124
Suppose 21*c = -3*c - 96. Let r = 16 + c. Let h = -6 - -16. Calculate the smallest common multiple of h and r.
60
Let h = 119 - 68. Suppose -h = -5*r + q - 2*q, r - 7 = 3*q. What is the smallest common multiple of (-4)/20 - 28/r - -19 and 42?
336
Suppose 9 = 24*c - 23*c. Suppose 137 = c*m - 43. Suppose 0 = -5*r - 0*r - 20, -5*a - 2*r = -62. What is the least common multiple of a and m?
140
Let k be 3 + 0/(-4) - -59. Suppose 0*n + 2*n = k. Let f = n + -10. What is the smallest common multiple of f and 24?
168
Suppose 110*z + 25200 = -135*z + 295*z. Calculate the least common multiple of z and 168.
504
Let s be (-6)/16 - (17784/64)/19. Let r be 2*(5 - s/(-10)). Calculate the lowest common multiple of 14 and 150/r - 28/(-49).
154
Suppose 0 = -3*n - 2*d + 100, -4*d + 10 = -2*n + 82. Suppose 4*f = n - 10. What is the common denominator of f + -5 - (-58)/(-14) and -21/8?
56
Let f = -35708/9 - -3963. Find the common denominator of (5/6)/(-5) - (-99)/36 and f.
36
Let x = 155421190/3381 - 45969. Let z be (295286/9)/((-9016)/2). Let i = x + z. What is the common denominator of -1/10 and i?
90
Find the common denominator of (-4238)/42543*15/(-16) and 127/174.
696
Calculate the common denominator of 1 - (0 - (-129)/(-90)) and 10/135*(-291)/(-4).
90
Let j = 1097/12 + -437/4. Suppose 130 = -3*g + g + 2*r, 296 = -4*g - 5*r. Find the common denominator of 3/(-18)*g + 6/(-9) and j.
6
Let y(t) = 12*t**2 + 2*t - 3. Let x be y(-3). Find the common denominator of (5928/(-3990))/(12/(-10)) and (-13 - 0)/(x/(-55)).
63
Let v be (-52755)/17586 + 1 - (-8 - -6). Let g = -296035/23448 + v. Let o = -321/47 + 19943/2397. What is the common denominator of g and o?
408
Let g be (-21)/(-6)*(-3 + -33). Let q = g - 211. Find the common denominator of q/(-42) + (-6)/(-18) + 0 and 105/136.
952
Let s be (-3)/15 + 234/(-30). Let v = 7998/7 + -1139. Find the common denominator of v and 14/42*(-354)/s.
28
Let z be (-4 - 2)/((-12)/(-1410)). Let o = -2417/143 + -1969247/2860. Let f = z - o. Find the common denominator of f and -111/10.
20
Let j = 10572 + -84527/8. What is the common denominator of j and 67/214?
856
Let x be 724/176 + 13/4 + -3. Let v = -34/33 + x. Find the common denominator of v and -7/171.
171
Suppose 5*p = p + 16. Suppose -x = r + 2*r, -5*r + p = 3*x. Calculate the lowest common multiple of (14/(-6) - -2)/1*(45 + -47 + -16) and x.
6
Let v(p) = -2*p - 14. Let x be v(-9). What is the common denominator of -35/18 and 5 - (x + 183/(-126))?
126
Let a = -6/395 + -529/1580. Let k be (174/45)/(36/(-27)). Let i = a + k. Find the common denominator of i and 77/12.
12
Let z = -3654 - -3694. What is the smallest common multiple of z and 80?
80
Let q = 233576 - 155561645/666. Calculate the common denominator of q and 117/14.
4662
Let a be 48/((-1)/2 - -2). Suppose -2*o = 10, 5*c + 22 = 8*c - 5*o. Let f = a - c. What is the lowest common multiple of 15 and f?
165
Let n = 2249809/42 - 53564. What is the common denominator of 10*6/(-105) - (-1)/((-378)/75) and n?
126
Find the common denominator of 39/436 and 2*(54/1440 - (-2)/20).
4360
Suppose -7*l + 5*f = -12*l + 50, -f = -2. Suppose -13 - l = -k + 4*p, -42 = -4*k - 5*p. Calculate the common denominator of 34/5 and k.
5
Let y = -1144109/66 - -17334. What is the common denominator of y and ((-1)/45 - 0)/(40/7300)?
198
Let c = -961 - -1273. Calculate the lowest common multiple of c and 72.
936
Find the common denominator of -53/1282 and (-6435)/(-1540) + 25/(-10)*(-8)/(-70).
17948
Suppose 0*w - 4*w = -112. Suppose 3*o = w - 7. Find the common denominator of ((-414)/(-112))/(6/o) and 85/18.
144
Let s(z) = 2*z**3 + 28*z**2 + 17*z - 25. What is the least common multiple of s(-11) and 12?
3084
Let d = 641 - 487. What is the least common multiple of d and 2?
154
Let q = -2490545/7 - -352758. Let d = 3028 + q. What is the common denominator of d and 16/6*39/18?
63
Let h be ((-108)/(-42))/(-6) + (-307035)/(-1848). Let x = h - 331/2. Find the common denominator of 6/77 and x.
616
Suppose -c = 2*g + 1, 4*c - 1 = 5*c - 4*g. Calculate the common denominator of -1*3 - (-18)/(-60) and 3*c - 936/(-240).
10
Suppose -4*j = -5*m + 284, 4*m + 4*j - 2*j - 222 = 0. Suppose -2626 - 301 + 521 = -401*u. What is the smallest common multiple of m and u?
168
Let s = -57632077/434 + 132793. What is the common denominator of s and 39/248?
1736
Let b be (-824)/144*983 - -9. Let k = b + 5618. Let v = 45767/14820 - 6/1235. Calculate the common denominator of v and k.
36
Let b = 1535/377 + -118/29. Let k = b - 11694/2639. Calculate the common denominator of -31/21 and k.
21
Suppose 0 = 6*r - 9*r - 90. Calculate the common denominator of -53/22 and r/3*3/24.
44
Let i be 4 - -2 - (1 - -1). Suppose -i*j + 18 + 14 = 0. Let c(v) = 4*v**2 + 2267*v + 15685. What is the lowest common multiple of c(-7) and j?
24
Let f = 1103 + -27582/25. What is the common denominator of f and (-616)/(-6)*2/40?
75
What is the least common multiple of (0 + (-25)/(-6))*(-20 + 38) and 375?
375
Find the common denominator of (45*(-168)/(-46656))/(6/(-1)) and 139/252.
9072
Let s = -21 - -24. Suppose 16 = 4*c, g - s = -3*c + 8. Calculate the common denominator of 18 and ((-165)/(-9) + 4)/g.
3
Let f(z) = -z**3 - 8*z**2 + 10*z + 19. Let n be f(-9). Let i be (-7706)/n + (23/5 - 5). Let a = 15423/20 + i. What is the common denominator of a and -43/22?
220
Let l(f) = f - 6*f + 2*f - 4*f**2. Let t be l(-1). Calculate the lowest common multiple of 3 and (-3751)/(-33) - 2/(-3)*t.
339
Suppose 0 = c + 4*j - 260, 748 + 437 = 5*c - 3*j. Calculate the smallest common multiple of c and 72.
720
Let a be 60510774948/1620 + 2/(-5). Let i = a - 37359385. Let l = -7057 - i. Find