and 8.
88
Find the common denominator of (675/350)/(((-7)/35)/((-12)/(-15))) and 2 - 218/64 - -2.
224
Find the common denominator of (12/(-14) + (-60)/420)*(-3)/60 and (-2)/(-6) - (-671)/660.
20
Let q be -3*(4/(-8) + (-1)/2). Suppose -q - 28 = -s. Calculate the lowest common multiple of 7 and s.
217
Suppose -61*z + 90 = -56*z. Let h = -42 - -54. What is the lowest common multiple of z and h?
36
Let n be (-10 - -1)*2/(-18)*-3. Calculate the lowest common multiple of 6/27 - (-1340)/45 and (-2112)/(-99) + 1/n.
210
Let h(b) = 42 - 31*b - 28*b + 67*b. Let d be h(-5). What is the smallest common multiple of d/(0 + -1) - -34 and 2?
32
Suppose -6*l - 140020 - 4712 = 0. Let f = l - -6295795/261. Calculate the common denominator of 61/30 and f.
2610
Calculate the common denominator of (1228/(-24867))/((-140)/6) and -53/210.
1890
Let f = -27897/160 + 1743/10. Let g = f + -647/160. Let t = -21085/1896 + -1/237. Calculate the common denominator of t and g.
40
Suppose 0 = 28*k + 14 - 98. Suppose -5*h + k*f + 177 = -4*h, 3*h = 3*f + 531. Calculate the least common multiple of h and 12.
708
Let i(u) = -13*u - 33. Let x be i(-1). Calculate the common denominator of 79/128 and (-3)/x*(0 - 39).
640
Let v(g) = -g**3 + 15*g**2 - 13*g - 38. Let p be v(14). What is the common denominator of -50/21 and (121/(-30))/((p/20)/3)?
84
Let z(r) = 8*r**2 - 2*r. Let h be z(2). Find the common denominator of 9/(-780)*h/6 and (-16)/(-16) - 45/24.
520
Suppose -2*i + 3*o = -231, 2*o - 4031 = -38*i + 63. Calculate the least common multiple of i and 1350.
2700
Suppose -5*q + 1307 = -4*h + 469, q = 3*h + 161. What is the smallest common multiple of q and 272?
1360
Let w(b) = -7*b + 6. Let z be w(-4). Let k = z + -31. Let v(m) = -m**3 - 7*m**2 - 7*m - 4. Calculate the lowest common multiple of k and v(-6).
6
Suppose 64*a - 642 = 382. Suppose 407 = 18*v - 241. What is the lowest common multiple of a and v?
144
Let f = 13/2281835175 + 67746925575737/27783625090800. Let j = 170/443 + -387224/1011369. Let d = j - f. Calculate the common denominator of d and -97/20.
80
Let k(u) = u**3 - 28*u**2 + 26*u + 22. What is the least common multiple of k(28) and 525?
5250
Let m(d) = d + 56. Let w be -56 - (-5 + (-7 - -8)). Calculate the least common multiple of m(w) and 6.
12
Suppose 0 = -336*x + 17520 - 1392. Calculate the lowest common multiple of x and 960.
960
Let j = -1011 - -12143/12. What is the common denominator of j and (-226)/(-72) + (-18 - -19)?
36
Let s = -1374 - -1571. Calculate the least common multiple of s and 5.
985
Let f = -150111/88 - -1706. What is the common denominator of -58/55 and f?
440
Let d = 20913 + -20883. Suppose x = -0*x + 4*f + 14, 5*x = -4*f + 46. Calculate the least common multiple of d and x.
30
Suppose 0 = 17*g + 23*g - 29*g - 29502. What is the smallest common multiple of g and 72?
10728
Let i = -1081/1680 - -5/336. Calculate the common denominator of 17/190 and i.
1330
Calculate the common denominator of 15/465*-4*(-105)/430 and -67/62.
2666
Suppose 0 = 2*j + p - 23, -p - 38 = -5*j + 2. Suppose 2*x = j + 3. Suppose -120 = -11*y + x*y. Calculate the smallest common multiple of 9 and y.
72
Let w = 315/52 - 16145/2912. Calculate the common denominator of 79/1568 and w.
1568
Let s = 14 - 15. Find the common denominator of (-722)/80 - 2/(-5) and s + 58/3 + 4/6.
8
Suppose 4*t + 61 = 5*j, 21 - 9 = -3*t. Suppose x = 15 - j. Calculate the lowest common multiple of 336 and x.
336
Let i be -2*(-3011)/2590 - (-10)/(-25). Let w = i - 104/37. What is the common denominator of w and -43/30?
210
Let x(p) = -p**2 + 14*p + 3. Let y be x(10). Suppose 0 = -3*b - 3*f + 8*f + y, b = 5*f + 21. Let d = b - 49/6. Calculate the common denominator of 83/8 and d.
24
What is the least common multiple of 2730 and ((38/285)/(4/(-6)))/(7/(-105))?
2730
Let n = 12/983 - 49247/88470. What is the common denominator of 31/830 and n?
7470
Calculate the common denominator of -127/370 and 181/(-724)*44/518.
2590
Let q = 1521101/19271885 + -3/54287. Calculate the common denominator of q and -28/85.
6035
Let l(r) = 2*r**2 - 17*r - 2. Let u be l(9). Let t(g) = -4*g - 19 - 4*g + 12*g + u*g. What is the smallest common multiple of 10 and t(3)?
70
Let j be (-2)/(-2) - (-59)/5. Let s be 1 + ((-40)/10 - 3486/(-220)). Let y = j - s. Calculate the common denominator of y and -13/10.
110
Suppose -5*h + 142 + 66 = -4*w, 0 = -3*h + 4*w + 120. Let b be 4 + (336/h)/6. Let n = -16/11 + b. Calculate the common denominator of n and -58/7.
77
Suppose -17*n - 31 = -65. Suppose n*k = -4*j + 62, -4*k + 5*j + 165 - 28 = 0. Calculate the lowest common multiple of 168 and k.
1848
Let l = -654 - -18. Find the common denominator of -9/10 and ((-3)/(-14))/(l/(-4187)).
280
What is the lowest common multiple of (-1)/(3 + 1660/(-550)) and 33?
165
Let y = 69 - 72. Let s(x) = -1. Let t(a) = -9*a. Let u(g) = y*s(g) - t(g). What is the smallest common multiple of u(1) and 28?
84
Suppose h + 320 = 5*h. Suppose 3*w - 21 = -p, -14*w - 3*p + 53 = -35. What is the least common multiple of h and w?
80
Suppose -35*t + 181 = -204. Suppose 4*a - 2*c - t = 237, -3*a - 5*c = -212. Calculate the least common multiple of ((-2)/5)/((-2)/50) and a.
320
Let i = -2426 + 2474. Calculate the lowest common multiple of i and 60.
240
Let k be 1/4*(16 + -16). What is the common denominator of (k - 3788/1176) + 3 and 1*-3*(-3 + 975/208)?
2352
Suppose 2*k - 116 = -3*w + 2, 3*k = w + 188. Let x = -29 + k. What is the least common multiple of 15 and x?
165
Let v(j) = j**2 - j. Let o be v(-2). Let i(n) = 13*n - 30. Let l be i(3). What is the smallest common multiple of o/l + ((-5)/3 - -2) and 14?
14
Let n(b) = -b**2 + b - 1. Let w(q) = -q**3 - 6*q**2 - 8*q + 6. Let y(j) = -3*n(j) - w(j). Let f = 1358 - 1355. What is the least common multiple of f and y(-8)?
21
What is the smallest common multiple of 1912 and (112 + -118)/((-6)/2)?
1912
Let o = -126773/11 - -177990205/15444. Find the common denominator of o and 14/243.
12636
What is the common denominator of -3*(-18)/(-162) + (-87)/(-918) and -103/522?
8874
Suppose 56*r = -60*r + 17631 - 231. What is the least common multiple of r and 444?
11100
Let u = -241 - -243. Suppose -y - 3*f = -u*y + 49, -y = 2*f - 34. What is the smallest common multiple of y and 40?
40
What is the common denominator of ((-7)/(-6))/(240/168) and -169/120?
120
Let f = -8/15 - 49/15. Let m = f + 3. What is the common denominator of m and (-171)/156*(1280/24)/(-20)?
65
Let n = 2/629 - -12566/4403. What is the common denominator of -103/234 and n?
1638
Suppose 2*o - 20 = -5*x, 110*x - 108*x - 3*o = 27. What is the smallest common multiple of x and 481?
2886
Let p be ((-6)/4)/((-10)/(-16) - 1). Suppose -5*j = 4*n - 291, 4*j + p*n - 162 - 74 = 0. Calculate the least common multiple of j and 55.
55
Let h = 94991189/1278 + -74328. Let r = 9046/507 + -3/338. Find the common denominator of r and h.
1278
Calculate the common denominator of (-10*3/(-324))/((-20)/(-285)) and 516/(-36) + 3/(-3).
72
Suppose -6*b + 105 = -b. Let v(p) = p**2 - 21*p + 4. Calculate the least common multiple of 28 and v(b).
28
Find the common denominator of ((-125)/20 + 6)*(8 - 81) and -29/14.
28
Let t(c) = -19*c - 28. Let z be -3 + 20/4 + -1 - 5. What is the smallest common multiple of 72 and t(z)?
144
Let h = 277735219/1860 + -149320. What is the common denominator of h and 75/28?
13020
Let x = 45 - 45. Suppose 0 = -d + 4 - x. Find the common denominator of -9 and 92/6 + (d - 1).
3
Let p be 1 - 7/((-42)/11479). Let n = -1908 + p. Find the common denominator of n and 935/198 - (-2)/(-9).
6
Let i(j) = j + 15. Let u(s) = -502*s + 4522. Calculate the lowest common multiple of u(9) and i(0).
60
What is the common denominator of -1*(-174)/(-18)*((-7002)/(-2328) - 3) and 65/3686?
7372
Suppose -5*i - 18258 = 4*m, 3*i = -5*m - 1912 - 9035. Let a = -200987/55 - i. Calculate the common denominator of -69/40 and a.
440
Let o = 1013/2 + -511. Let i = -38 - -280. What is the common denominator of o and (i/18)/(32/48)?
6
Let s = -405 - -260. Let f = 148 + s. Calculate the lowest common multiple of f and 54.
54
Calculate the lowest common multiple of 644 and (-1461396)/(-11001) + (-3)/(-19).
12236
Let p = 2863/51 + -552/17. Suppose -62 = -4*z + 22. Find the common denominator of (