96
Suppose 75*h - 73*h = -6. Calculate the common denominator of -67/12 and (h - (-4434)/1248) + -1.
624
Let g be 1238/6*(48/(-51) - -1). Let y = g - 8/17. Let b = -2212 - -24363/11. Find the common denominator of b and y.
33
Suppose -71*n = 808 - 3969 - 6495. What is the smallest common multiple of n and 7?
952
Let n = 2585777083/1122 - 2304614. What is the common denominator of n and -23/18?
3366
Suppose -23 = -5*h - 4*o, -4*h - 26*o + 28*o + 8 = 0. Suppose -h*d + 50 = -100. What is the lowest common multiple of 80 and d?
400
Let a = -2/11039 + 982475/22078. Find the common denominator of 47/1518 and a.
1518
Let a = 12071323/72 + -167664. Let g = a - -73/8. Let k = 566027/24 + -23579. Find the common denominator of k and g.
72
Suppose -4*t + n - 17 = -4*n, -4*n = 3*t - 26. Suppose -5*d = -2*d - 5*x + t, -30 = -3*d - 3*x. Calculate the smallest common multiple of 6 and d.
6
Suppose 0*n + 5*n + 2*k = 80, -5*k = -4*n + 97. Find the common denominator of ((-3)/n)/(-4*(-7)/(-917)) and 63/8.
24
Let x = -29195/4 - -291833/40. Let l = 6656177/200 + -33281. What is the common denominator of x and l?
200
What is the lowest common multiple of 1920/(-56)*(-28)/3 and 180?
2880
Let c = -258 + 238. Calculate the common denominator of -7/4 and 85/102*53/c.
24
Let r be ((-151)/(-3))/((-52)/(-468)). Suppose 4*i = 2*d - 1407 - 903, -5*i - 2*d = 2874. What is the common denominator of 49/2 and -1 + (-3)/(i/r)?
64
Calculate the common denominator of (-2 - (-142)/(-48))*460/(-1035) and (2 + 200/(-18))*3/(-18).
54
Suppose 4*c = -5*w - 8 - 1, 0 = -3*c + 2*w + 22. Suppose -c*p = 12, d - 4*d + 186 = p. What is the least common multiple of d and 2?
126
Let w(l) = 2429*l - 16959. What is the lowest common multiple of (4/(-5))/(1/(-20)) and w(7)?
176
Let q = -8096 - -8120. Let m(w) = w**3 - 2*w**2 + 1. Suppose 5*f = -h + 16, -5*h - 4 = -3*f + 28. What is the lowest common multiple of q and m(f)?
264
Suppose -6*u + 2078 = -52678. Let w be 0/2 - (u/(-8565) - 1). Let f = -2/1713 - w. Find the common denominator of f and 37/3.
15
Let l = 39071 - 61799. Let i = l + 408959/18. What is the common denominator of i and (-5895)/(-360)*3*(-4)/(-9)?
18
Calculate the common denominator of -47/58 and (-16)/(-75)*(24/3 - 1001/130).
7250
Let a = 2/763 + -49599/1526. Let u = 144 + -184. What is the common denominator of -1*4/(u/(-3)) and a?
10
Suppose 0 = u + 3*p - 7, 4*p - 1 = -17. Suppose -u*y - 5 = -43. What is the least common multiple of y and 42?
42
Let r(j) = j**3 + 5*j**2 - 4*j + 12. Let f(k) = -5*k + 31 - 3*k + 33*k**2 - 8*k - 34*k**2. Let u be f(-18). What is the smallest common multiple of 28 and r(u)?
224
Let l = -366 - -360. What is the least common multiple of 17/4 + -1 + l/24 and ((-12)/(-10))/(4/110)?
33
Let l = 130219/33 - 3945. Find the common denominator of 884/(-26)*(-9)/6 - 2 and l.
33
What is the least common multiple of 230 and (3 - 348/24)/((-5)/310)?
7130
Let g = -506625 - -666718543/1316. What is the common denominator of g and -17/376?
2632
Suppose 0*h - 72 = -12*h. Suppose -n = -h*n + 20. Find the common denominator of 1/2*-6 + 11/n and -64/9.
36
Let f(l) = l + 17. Let g be f(14). Let x = 28 - g. What is the common denominator of -3/2 and (x/(-6))/((-154)/1526)?
22
Calculate the common denominator of -53/195 and -2*1/19 - (-5146)/24700.
1950
Let k be -6 + -29 - (-2 - (-6 - -3)). Let c = 84 + k. What is the least common multiple of c and -1 + 3 + 0 + 2?
48
Suppose -52*u + 19392 = 16*u - 2776. Suppose 2*n = -3*x - 0 + 14, 0 = -2*n - 5*x + 18. What is the smallest common multiple of u and n?
652
Suppose -j = 4*t - t - 49, -5*j + 69 = 4*t. Suppose 0 = 2*a + h - 4 + 5, -h = 3*a - 1. Suppose a*z - 15 = -3. Calculate the least common multiple of z and t.
48
Let o = 1/2426 - -95823/9704. Let m = 82/89 + -8137/1780. What is the common denominator of o and m?
40
Let p = 1307359917633/4850 - 269558744. Let h = 73/194 + p. Find the common denominator of 11/40 and h.
200
Let y be 3 + (30/(-1305))/(4/(-102)). Let a = y + 403/203. Calculate the common denominator of a and (14/(-8))/(15/(-18)).
70
Let a(m) = -5*m - 2 - m - 5*m + 10*m. Let p be -1 - (2 + 1/2*6). What is the least common multiple of 16 and a(p)?
16
Let a be ((-5)/5)/((-4)/16). Suppose -4*j - 224 = a*t, t + j = -2*j - 54. What is the smallest common multiple of 1/(4 - t/(-15)) and 8?
40
Let a = 768 + -522. Let r = a + -168. What is the smallest common multiple of 12 and r?
156
Let n be -2 + 1 + 2350/2312. Let m = n - -33121/6936. Find the common denominator of m and 13 + -68 + 31433/516.
24
Let o(s) = 151*s**3 + 12*s**2 - 24*s + 2. Calculate the smallest common multiple of o(2) and 1452.
7260
Let k = 389 + -189. Let w = 386 - k. What is the lowest common multiple of 16 and w?
1488
Let x be 6146/3220 + 3/(3/(-2)). Let q = x + 1747/2760. Find the common denominator of q and 119/10.
120
What is the common denominator of 209/(-3648)*-38 + 6/(-2) and (20/8)/((-288)/(-1 - -7))?
96
Suppose 0 = -30*v - 466 + 46. Find the common denominator of v and 97/90.
90
Suppose -75*w + 17*w + 1102 = 0. Suppose w*p = 15*p + 888. Calculate the smallest common multiple of p and 18.
666
Calculate the smallest common multiple of 224 and (((-30)/7)/(2/(-146)))/(102/1904).
81760
Let g(p) = 83*p + 7066. Let x(y) = -52*y. Let z be x(-1). Suppose -2*j - 2*j = -z. What is the least common multiple of j and g(-85)?
143
Let q(f) = 19*f**3 - 4*f**2 + 4*f - 1. Suppose 7 = -197*r + 209*r - 5. Calculate the lowest common multiple of r and q(1).
18
Let t(w) = -9*w - 12*w + 4*w - 113 - w - 11*w. What is the least common multiple of 27 and t(-7)?
270
Let w = 1/55227 + 2813549/167227356. What is the common denominator of 71/16 and w?
12112
Let o = 584641/36 + -16240. Let p = -10063/3 - -134193/40. Find the common denominator of p and o.
360
Calculate the common denominator of ((-36)/(-10612))/((-156)/(-1638)) and -93/32.
12128
Let v = -178689 - -178716. Let x(h) = h**3 - h**2 - 4*h - 3. Let t be x(4). Let p = -20 + t. Calculate the smallest common multiple of p and v.
27
Let f = -855531/40 + 21387. What is the common denominator of 2/(-80)*(1548/8)/9 and f?
80
Calculate the smallest common multiple of ((-1750)/4 + 1)/((-687)/916) and 2134.
6402
Let v(r) = 6*r - 10. Let h be v(8). Let x = 42 - h. Suppose -6*l + l - 5*w + 30 = 0, x*l + 5*w = 25. Calculate the smallest common multiple of 6 and l.
30
Let y(a) = -a**2 + 5*a + 1. Let x be y(3). Let n(z) = z**3 - 7*z**2 + z - 5. Let j be n(x). Calculate the common denominator of (-228)/28 + j + -1 and -28/9.
63
Let g be -1*(-2116)/(-3)*(-6)/2. Let o be (g/10)/((-2)/(-20)). What is the common denominator of -33/2 and o/(-440) - (-6)/15?
22
Let l = -6678 - -6831. What is the lowest common multiple of l and 477?
8109
Calculate the lowest common multiple of 15 and (46 + -124)*(-17)/2.
3315
Let m(g) = 9*g - 5 - 8*g + 3*g. Let c be m(2). Suppose -j + 8 = 2*v + 2, -4*v = c*j - 24. What is the least common multiple of j and 36?
36
Suppose 29083 = 84*n + 6907. Calculate the lowest common multiple of 54 and n.
2376
Let w = -6194 + 6224. What is the smallest common multiple of 564 and w?
2820
Let u = -2684/3 + 40228/45. Find the common denominator of (-14)/2 + 20 + -18 - (-1864)/288 and u.
180
Calculate the least common multiple of -1 + (-45)/9 - -200 and 1455.
2910
Let v = 54 + 220. Suppose v*n - 60 = 269*n. What is the lowest common multiple of n and 27?
108
Suppose -38*i = -33*i + 30. Calculate the least common multiple of -9*(9/(-5))/(i/(-20)) and 4.
108
Let r(o) = o**3 + 5*o**2 + 3. Let i be r(-5). Suppose -3*k - 14*k + 17 = 0. Suppose u - i = -k. What is the lowest common multiple of 10 and u?
10
Let g(v) = 10*v**2 + v + 225. Calculate the least common multiple of g(11) and 24.
5784
Suppose 7*v - 8*v = 674. Let c be (-8066)/(-10)*85/(-102). Let p = v - c. Find the common denominator of -23/5 and p.
30
Find the common denominator of 2/(-13) + 44255/68211 and 107/54.
594
Let l = 28/27 + -10/9. Let u = 9676/12429 - 1/1381. What is the common denominator of l and u?
27
Let t = -1374/143 + 377489/40612. Calculate the common denominator of t and 61/568.
568
Let h = 246 - 155. Let p = -75 + h. Suppose -5*y = 10, 4*o + 4*y = y + 10. What is the least common multiple of p and o?
16
Let w = 695/2 + -3091/9. Find the c