120935/67512. Calculate the common denominator of k and 34/141.
1128
Let f be -1 - (-5)/(10/22). Let q(j) = j**2 - 10*j + 10. Let t be q(f). Calculate the least common multiple of (-20)/8 + 115/t and 6.
18
Suppose -17 = 21*n - 101. Suppose -n*h + 466 - 250 = 0. Calculate the smallest common multiple of h and 6.
54
Suppose -k + 2*l = 2*k - 25, -8 = -k + l. Suppose -16 = -4*o - 4*h, 0 = -8*o + 4*o - h + 28. Let d = o - -1. What is the lowest common multiple of k and d?
9
Calculate the common denominator of (-1177026)/51192 - (-111 + 88) and -9/22.
93852
Let v = -60829/10884 + 5/907. Calculate the common denominator of v and -77/30.
60
Let g = 1524 + -1504. Calculate the smallest common multiple of g and 80.
80
Let f = 87502237 + -2625573793/30. Let s = f + 16887. What is the common denominator of -29/36 and s?
180
Calculate the common denominator of (-100)/48*294/1029 and -83*((-15)/(-84))/5.
84
Let h = -47169 - -943479/20. Let q = -874/59 - -46481/3540. What is the common denominator of q and h?
60
Let z(h) = -h**3 + 4*h**2 + 59*h + 4. Let m be z(-6). Calculate the common denominator of -31/16 and (-9)/(-12) - (-3 - m/(-1)).
16
Let r = 189 - 8. Suppose -186*b = -r*b - 105. What is the smallest common multiple of b and 28?
84
Find the common denominator of 111*(-406)/3780 + (-2 - 60/(-27)) and 59/1962.
9810
Suppose 14*o + 9 = 17*o. What is the common denominator of (-6 - -11) + o/((-567)/750) and -39/14?
126
Suppose -3*o - 8*o = 2893. Let n = -191 - o. Calculate the lowest common multiple of 8 and n.
72
Let q = -4151 - -4161. What is the smallest common multiple of 154 and q?
770
Let j = 10957 + -10925. What is the lowest common multiple of 94 and j?
1504
Let g(h) = 8*h**2 - 68*h - 244. Calculate the lowest common multiple of g(-7) and 364.
4368
Suppose 5*j = p - 6*p + 10, -5*j + 14 = p. Suppose j*z + 56 = 5*z. Calculate the least common multiple of 20 and z.
140
Let l = -35 - -46. Calculate the lowest common multiple of 10 - (4 - (l + -3)) and 3 - 6/((-48)/8).
28
Let x = -470 + 260. Let h = -66/5 + 68/15. Find the common denominator of h and (-511)/x - 6/(-9).
30
What is the smallest common multiple of 4 - (385045/(-424) - ((-7)/(-8) + -1)) and 6?
912
Let y = -34 + 13. Let s be (-224)/y*((-5)/(-4) + 1). Let h = -22 + s. Calculate the smallest common multiple of 32 and h.
32
Let g = -4/1817 + -8689/179883. Calculate the common denominator of 29/21 and g.
693
Suppose -5*g + 169 = 3*s, -5 = -2*g + 4*s + 73. Let i be (-3 - 106/18)*(-6)/g. Let b = -27/7 + i. Calculate the common denominator of b and 125/24.
24
Find the common denominator of -35/262 and 2/15 - 1/(-655)*11.
786
Suppose 6*n - 107 = 5*b + 7*n, 5*b = -4*n - 113. Calculate the common denominator of ((-7)/42)/(b/243) and ((-265)/(-10))/(-1*7).
14
Let i = 3 - 1. Let h be (-3 - -4)/(0 - 6/(-12)). Suppose 0 = b + h, 0*x - 4*b = -i*x + 36. Calculate the lowest common multiple of x and 14.
14
Suppose 10*x + 32 = 14*x. Suppose 16*q - 12*q - x = 0. Calculate the smallest common multiple of 24 and q.
24
Let k = -21435 + 25620. Calculate the smallest common multiple of k and 81.
12555
Suppose 9310 = -24*n + 17*n. Let p be 0 - 1257/36*38. Let k = n - p. Calculate the common denominator of k and -55/16.
48
Suppose -w - 7007 = -5*x, -x + 29956 = -5*w - 4959. Let g = -97663/14 - w. Find the common denominator of (18 + -1 + 1)/((-2360)/1062) and g.
70
Let y = -7095/2 + 117125/33. What is the common denominator of 21/193 and y?
12738
Let n = 199 - 203. Calculate the smallest common multiple of 30 and (n - -8)*1 + (103 - -1).
540
Let i = -25677/7 + 89843802/24493. Let t = 13041330954133551/90974 - 143352286966. Let f = t + i. Calculate the common denominator of f and -15/7.
182
Let m = -4556338 + 72855769/16. Let j = 2857 + m. Find the common denominator of -29/28 and j.
112
Let f = 13 + -11. Calculate the common denominator of 28/(-210) + (-111)/(-1170)*-29 and -1 + f + 6/16.
104
Suppose -125*r + 24 = -1976. What is the least common multiple of 344 and r?
688
Suppose -5*j - 80 = -8*o + 4*o, 0 = 4*o + 2*j - 80. Let d(s) = -11*s + 517. What is the smallest common multiple of o and d(39)?
440
Let q = 2224 + -1504. What is the least common multiple of 128 and q?
5760
Let r(v) = 24*v + 1. Let l be r(5). Suppose 2*m + 2*o = -o + l, -4*o + 292 = 5*m. Calculate the common denominator of (-19)/95 - m/(-5) and 19/3.
3
Let g = 12335 - 135637/11. Calculate the common denominator of g and 76/153.
1683
Suppose -2853*y + 2862*y - 11 - 7 = 0. What is the lowest common multiple of ((-82)/(-6))/((-3)/(-36)) and y?
164
Find the common denominator of 20/3 and 238/(-28)*(0 + 3/(-139)).
834
Suppose 12*a - 8*a + 840 = 0. Let i = -35797/22954 - -8/499. What is the common denominator of ((-25)/a*-2)/(18/(-357)) and i?
414
Let q be (-3579)/(-273) - 2*6. Let f be 11486/2184 + 4/(-14). Let x = f + q. Find the common denominator of -139/6 and x.
12
Let m = -3 + 4. Let k be 3/(-1) + (-8)/(-2). Suppose -k - 10 = -n. Calculate the smallest common multiple of n and m.
11
What is the common denominator of (-30)/9*(1881/468 + -4) and 13/24?
312
Let n = -14039 - -21867. What is the lowest common multiple of n and 14?
54796
Let a = -16236 - -16245. What is the lowest common multiple of a and 6745?
60705
Let q = 66 - 66. Suppose -4*u + 1048 = 5*p, q = -u - 8 + 5. What is the lowest common multiple of 10 and p?
1060
Calculate the common denominator of 33/2534 and (-8)/10 + 31142/(-9660).
7602
Let c = -2386805/104958 + 7780/343. What is the common denominator of 95/252 and c?
4284
Let o be (-2)/4 - 6974/(-4). Let f be (1/129)/(1*(-3)/o). Let u = 27/430 - f. What is the common denominator of -40/27 and u?
270
Let w = 69327 - 8388519/121. Calculate the common denominator of -59/4092 and w.
45012
Calculate the least common multiple of 9/63 + 0 + ((-100440)/(-21) - 3) and 14.
33460
Suppose -56*i - 12253 - 21739 = 0. Let y = -28089/2 + 14695. Let t = y + i. Calculate the common denominator of t and 5/18.
18
Suppose 4*f - 6*f = -3*t - 218, 0 = 2*f - 2*t - 218. Suppose -12*q = -f + 37. Calculate the least common multiple of 2 and q.
6
Let u(q) = -127*q - 10. Let v(p) = p**2 - 15*p - 18. Let z be v(16). What is the least common multiple of 18 and u(z)?
2196
What is the common denominator of 37/8 and (-472)/56 + 9 + (-3820)/(-1099) + -4?
8792
Let c be 194 + -11 + (2 - -1). Let h = c + -144. What is the smallest common multiple of 54 and h?
378
Suppose -3*h - 36 = -u, -u + 20 + 26 = 2*h. Let x = 142 - 140. Suppose 16 = 4*j + 2*w, 7 + 1 = -x*j + 3*w. What is the smallest common multiple of u and j?
42
Let w = -976764/215 - -4543. Find the common denominator of w and 28/5.
215
Suppose 53*b = 9882 + 6018. What is the lowest common multiple of 87 and b?
8700
Suppose 6*f - 11 = 2*f + w, -11 = -f + 3*w. Suppose -y + 3 = -f. Calculate the lowest common multiple of 2 and y.
10
Let g = 9/14 - -9/35. Let b = -29171/4 + 7296. What is the common denominator of g and b?
20
Suppose -357*n = 2*i - 358*n - 629, 2*i = -2*n + 656. What is the lowest common multiple of i and 4785?
4785
Suppose 28*o - 6392 = 11*o. Suppose o = 4*q - 2*f, -q + f + 92 = -0*f. What is the smallest common multiple of q and 60?
480
Let l(b) = 5*b + 2. Let v(k) = k - 1 + 3 - 1 + 19. Let x be v(-15). Calculate the smallest common multiple of 24 and l(x).
216
Let f(i) = -3*i**2 - 76*i - 78. What is the least common multiple of 192 and f(-24)?
576
Suppose -z = -30*c + 26*c + 3476, -c + 5*z = -850. What is the least common multiple of c and 150?
4350
What is the common denominator of (-8 + 2625/330)/(17/103) and -71/476?
5236
Suppose 0 = 6*k - k + 5*g, g - 4 = -2*k. Let n = -421 - -417. Calculate the least common multiple of k and (22 + -23)/(2 - (-10)/n).
4
Let f(b) = 52*b + 140. Calculate the smallest common multiple of 12 and f(15).
2760
Let j(m) = -19*m**2 - 4*m + 3. Let c be j(1). Calculate the common denominator of (1 + (-70)/150)*c/(-21) and 65/72.
504
Let a = 12/8681 + -949397/2291784. What is the common denominator of a and -115/156?
3432
Let o = 304745/36 + -8466. What is the common denominator of -73/81 and o?
324
Let v(s) be the third derivative of s**6/120 - 3*s**5/20 + 7*s**4/12 + s**3/2 + 13*s**2. What is the least common multiple of v(7) and 11?
33
Let b be 5919/33*17*39/(-6). Le