n and z?
198
Let r = 5429/6 - 905. Find the common denominator of r and (-41)/(-21) + -2 - 1.
42
Suppose -n + 0*m + 240 = m, 1200 = 5*n - 2*m. What is the least common multiple of n and 18?
720
Find the common denominator of -53/6 and 35/14*(3 + (-168)/57).
114
Suppose i = -6 - 3. Let n be (8/10)/(i/(-180)). Suppose -4*z - 20 = -2*m, -2*z + 3*z - n = -m. What is the lowest common multiple of 22 and m?
154
Let i(f) = f**3 - 8*f**2 - 15*f + 32. Let s be i(11). Let m be (-1852)/(-14) - (-6)/(-21). Calculate the common denominator of (-3)/(-9) - s/m and 113/12.
132
Let t be 1 + 1 + -1 - -581. Find the common denominator of (7/15)/(-6 - t/(-100)) and -25/9.
27
Let n(u) = u**2 + 8*u + 9. Let i be n(-7). Suppose i*r - 3 + 14 = -5*j, 4*r - 20 = 4*j. Calculate the smallest common multiple of r and 11.
22
Let j = -160 - -168. Calculate the lowest common multiple of 4 and j.
8
Let h = -4637 + 88083/19. What is the common denominator of h and -3/4?
76
Suppose 4*d + 48 = d. What is the common denominator of 1*4 - (-40)/d and 37/26?
26
Let d = -2051 + 110737/54. Calculate the common denominator of d and -17/66.
594
Let m = -25/6 - 37/3. What is the common denominator of 101/8 and m?
8
Let l = 90763002277/19042188 - 2/1586849. Let c = -4762 + l. Calculate the common denominator of c and -53/11.
132
Let h(t) = -2*t. Suppose -58*w = -169*w - 183*w + 8232. What is the smallest common multiple of w and h(-6)?
84
Calculate the common denominator of ((-14949)/(-24160))/(20/(-2)) and 63/2.
1600
Suppose 37 - 103 = -3*f. Let k(x) = 104*x - 190. Calculate the least common multiple of f and k(2).
198
Let u = 1920 - 15439/8. Find the common denominator of -46/59 and u.
472
Let r be 2/(-11) - 36121/(-3795). Let v = r - -32/69. What is the common denominator of v and ((-174)/(-18))/((-10)/(-3))?
10
What is the least common multiple of (-240)/(-3480) + (-22790)/(-58) and 30?
3930
Calculate the common denominator of ((-92)/50)/((-11)/(-55)) and 29/10.
10
Suppose 2668 = j - 782. Let f = 68923/20 - j. What is the common denominator of -103/38 and f?
380
Suppose -4*z + 12 = 0, 18 = 3*l + 4*z - 2*z. Suppose -3*q = 2*w + 6 + 1, -5*w - 4 = 3*q. Let y(c) = 2*c**3. What is the least common multiple of l and y(w)?
4
Let t = -6202 - -38999/6. Let q = 300 - t. Let d = -714 + 1471/2. Calculate the common denominator of q and d.
6
Suppose 3*t - 70 = 4*u, -2 = 5*u - 3*u. Calculate the least common multiple of t and 98.
1078
What is the least common multiple of 54 and 1161/86*20/3?
270
Let q = 2/39055 - -2772857/937320. Let t = -2193 + 52571/24. Find the common denominator of q and t.
24
Suppose 2*c + 3*o - 33 - 15 = 0, -4*o + 73 = 3*c. Find the common denominator of 1290/756 + ((-30)/c)/(-5) and 101/26.
182
Let u(s) = -s + 9. Let v be u(-15). Calculate the common denominator of v/(-42) + (-278)/42 + 4 and 44/21.
21
Let z(n) = 4*n**2 - 7*n + 1. Let o be z(5). Let p be 1*1*(-1)/1*-1. Find the common denominator of ((-32)/(-432))/(p/o) and 10/3.
9
Let r be 2 + -10 - (-4)/1. Calculate the least common multiple of (54/r)/((-6)/12) and 9.
27
Let r = -248 + 365. Calculate the least common multiple of 117 and r.
117
Suppose -6*z + 2*p + 35 = -7*z, -8 = 2*p. Let a be (1 - -42) + (-1 - -1). Let h = a + z. Calculate the lowest common multiple of h and 18.
144
Let w = -11 + 14. Suppose -4*s + 5*t = -28, t + 8 = -t. What is the lowest common multiple of s and (w - 1)*(19 - 9)?
20
Suppose -j + 6 - 6 = 0. Suppose -4*p + 5*p + 3*o - 20 = j, 0 = 5*p + 2*o - 48. What is the least common multiple of 28 and p?
56
Let w(p) = -2*p**2 - 17*p - 8. Let o be w(-8). What is the common denominator of ((-2)/6)/(34/198 + o) and -2/3?
51
Let o(c) = -c**2 + 9*c - 8. Let h be o(8). Suppose -q - z + 13 = h, 4*q - z = -3*z + 58. What is the lowest common multiple of 68 and q?
272
Let s be 7/(7/3) - 60. Calculate the lowest common multiple of 6 and s/(-5) - 26/65.
66
Let j = -19 + 27. Let x be ((-5)/(-5))/(0 + 1). Calculate the lowest common multiple of (x + 1)/((-3)/(-9)) and j.
24
Suppose 0 = -2*x + 73 + 95. Suppose 10*f - x = 3*f. Calculate the smallest common multiple of 2 and f.
12
Let y(x) = 2*x - 4. Let l be y(8). What is the lowest common multiple of l/9*27/6 and 4 - 8/(-4) - 0?
6
Calculate the least common multiple of (-13 - -11)*((-2 - -1) + -67) and 16.
272
Let p(m) = m**2 + 9*m + 11. Let d be p(-7). Let t(j) = -2*j**2 - 4*j + 1. Let y be t(d). What is the smallest common multiple of (-60)/35*(-2 + y) and 18?
36
Let m = 2433/370 + -25/37. Calculate the common denominator of m and -47/1359.
13590
Let o = 136717289/337001 - -50116/1553. Let p = 3070/7 - o. Find the common denominator of p and -25/6.
186
Let q(h) = -5*h + h**2 - h**3 + 2*h**2 + 4*h**2. Let o be q(6). Suppose 30 = -3*l + o*l. What is the smallest common multiple of 6 and l?
30
Calculate the common denominator of 33/16 and (166/708 + 0)*(34 + -35).
2832
Let m(x) = x**3 - 11*x**2 - 4*x - 16. Let q be m(12). Suppose -2*b = -6*b + q. Suppose -3*a + 30 + 30 = 0. Calculate the least common multiple of b and a.
20
Let g be 4/(-42)*(-9)/138. Let s = 311/1771 + g. Calculate the common denominator of s and -40.
11
Suppose -9*h = -877 + 481. What is the least common multiple of h and 160?
1760
What is the common denominator of (-3)/(-12) - -3*(-16)/(-60) and 15/4?
20
Let t = 89/109 + 7703/2180. Find the common denominator of -91/40 and t.
40
Suppose -30 = -5*v + 3*v. Calculate the common denominator of v/300*(1 - 115) and 99/58.
290
Let a = -117 - -119. Suppose a*i = 51 - 9. Calculate the lowest common multiple of 24 and i.
168
Let c = -40 - -47. Let u be 1 - (-4)/((-4)/(-5)). Let w = u + 1. Calculate the lowest common multiple of c and w.
7
Let p = 1141470393/40 - 28539694. Let w = p - -2934. What is the common denominator of 77/4 and w?
40
Let t be (-30224453)/(-7088620) + 2/(-5). Let r = t + -3/18412. What is the common denominator of 63/10 and r?
110
Let q = 2843/12 + -15755/66. What is the common denominator of q and 9*(-1)/(-24)*(-61)/(-6)?
176
What is the common denominator of 99/33 + ((-222)/(-16))/(-3) and -73/578?
2312
Let k = 16 + -10. Let h be (-4)/(-6)*114/4. Suppose -c - 38 = -3*v + 3*c, -v - 5*c = h. Calculate the lowest common multiple of v and k.
6
Suppose 48*b = 50*b - 686. Calculate the lowest common multiple of b and 49.
343
Let t = 846 - 790. What is the least common multiple of 80 and t?
560
What is the smallest common multiple of 154 and (-89 + 82)*(1 + -7)?
462
Let q(o) = -23*o - 5. Let i be q(-2). Suppose 5*n - 79 - i = 0. What is the least common multiple of 22 and 1/2*(0 + n)?
132
Let u(a) = a**3 + 4*a**2 - 15*a + 17. Calculate the lowest common multiple of 55 and u(-6).
385
Let g be 3/9 + (-2562733626)/7688200608. Let u = g + -39099518732033/3942765545136. Let x = -1/9231 - u. Find the common denominator of x and -17/18.
36
Suppose 0 = 47*z - 73*z + 1560. Calculate the smallest common multiple of 160 and z.
480
Suppose 5*i = 2*q - q + 142, 3*i - 78 = -3*q. Suppose 63 = -3*g + 87. Calculate the lowest common multiple of g and i.
56
Find the common denominator of (415/70)/((-24)/(-84)) and -83/231.
924
Let m(o) = -o**3 + 15*o**2 + 18*o - 18. Calculate the smallest common multiple of 170 and m(16).
1190
Let s = 19769/24681 + 33/433. Calculate the common denominator of s and 23/21.
399
Let z be 10/2*288/(-45). Let i = 37 + z. What is the lowest common multiple of (-3)/i*-5 - 1 and 10?
10
Suppose d + 24 = 3*d. Suppose c = -0*c + d. What is the common denominator of (-4 + 265/4)/c and -99/4?
16
Let l be 22/(-2 - (-26)/14). Suppose 4*o - 2*o + 116 = 3*f, 2*f = 4*o + 224. Calculate the least common multiple of (l/o)/((-1)/(-5)) and 16.
112
What is the smallest common multiple of 4 and (-1 - -9)*(-4 + (-84)/(-16))?
20
What is the common denominator of 6/18*255/68 and -127/90?
180
Let h = -7 + 5. Let k be (h + (-4)/(-8))*-2. Suppose -a = -4*n + k*a + 100, -3*n + 2*a = -72. Calculate the least common multiple of 12 and n.
132
Let o be 4/(12/(-1071)) + (0 - 1). Calculate the common denominator of -29/30 and 1 + 3 + o*(-4)/(-240).
30
Let s = 7 + -1. Let a be s/(-4) + (-70)/(-4). Let t = a - 6. Calculate the smallest common multiple of 8 and t.
40
Let t be (-4)/2 - 638/156. Let k be -1 + (-15)/(-13) - (-368)/(-52). Let i = k - t. Calculate t