s the common denominator of -49/220 and (2 - (-89)/(-70)) + (-41)/(-41)?
1540
Suppose -13*r - 302 = -393. What is the smallest common multiple of r and 175?
175
Let c = 812 + -792. Suppose c*s - 122 = 18. Calculate the least common multiple of 4 and s.
28
Let b be -2 - 2/(4 + -2). Let q = 1 - b. Suppose 0 = -m + 2*n + 8, -7 - 1 = -m - 2*n. Calculate the smallest common multiple of m and q.
8
Calculate the least common multiple of (980/(-882))/(2/(-72)) and 60.
120
Suppose 7*z - 4*t = 5*z + 62, 5*t - 98 = -4*z. What is the least common multiple of z and 4/6 - 70/(-3)?
216
Let k(p) = p**3 + 5*p**2 - 20*p - 2. Let t be k(-8). Calculate the common denominator of t/36*-21 + -6 + 1 and -83/34.
102
Suppose -z - 3*b + 198 = 0, 0*z = -3*z + 3*b + 570. Suppose 0 = -4*c + z + 100. Calculate the common denominator of (c/9)/(33/(-18)) - -2 and 58/21.
231
Let y be (5/2)/((-15)/30) + -85601. Let l = y - -5649881/66. What is the common denominator of l and -25/6?
66
Let c(q) = q**2 - 10*q - 1. Let w be c(10). Find the common denominator of ((-7)/((-56)/(-93)) - -5) + 4 and 29/(-10) - 1*w.
40
What is the smallest common multiple of (-24)/(-44)*66/12 - -60 and 35?
315
Suppose 0 = p + 2*p - 135. Let l = 1500 - 1419. What is the smallest common multiple of p and l?
405
Let o be 5/10 + (1 - (-5526)/(-4)). Find the common denominator of (0 + -1)*(-1060)/o and 101/8.
552
Suppose -1887 - 2883 = d. Let o = -28489/6 - d. What is the common denominator of 73/18 and o?
18
What is the lowest common multiple of 294 and ((-1)/6)/((-2)/(-42))*-108?
2646
Let f be 10517068/(-2)*44/(-5808). Let z = -39839 + f. What is the common denominator of z and -31/42?
462
Suppose -11 + 19 = 4*s. Suppose -s*q = -q - 1. Calculate the smallest common multiple of q and (2 - -5) + (-3)/3.
6
Suppose -6*x + 12 + 0 = 0. Let n = 14 - x. Suppose -4*u + 3*m + 0*m + 63 = 0, -3*u + 11 = 5*m. What is the least common multiple of u and n?
12
Suppose p + 118 = 469. Suppose -13*i - 16 = -12*i. What is the common denominator of i/(-56) + p/(-28) and 99/20?
20
Suppose d = -2*d + 42. Suppose 3*l - 5 + 26 = 3*s, -2*s + d = 3*l. What is the smallest common multiple of s and 21/35 - (-15)/(-25) - -2?
14
Let s = -22842 - -776567/34. Let g = -6525 + 26061/4. Calculate the common denominator of s and g.
68
Let x(z) = -z**3 + 5*z**2 + 10*z - 10. Let w be x(7). Let t = w - -40. Calculate the common denominator of -119/30 and (t + -4)/(63/102).
210
Suppose 2 = 4*f - 58. Suppose -21 = -5*p - 31, w + 91 = -2*p. Calculate the smallest common multiple of f and (w + 82)*(-12)/5.
60
Let j be (-2)/(-9) - (-156)/27. Let p = -42 + j. What is the common denominator of 4/(p/53) - 2/6 and -41/10?
90
Let p = 193876312/2067 + -93796. Find the common denominator of -13/81 and p.
55809
Suppose -q + 62 = 5*z, z - 1524*q + 1523*q = 10. What is the lowest common multiple of 267 and z?
1068
Suppose -6*l + 3*l = 2*l. Suppose y + 9 - 83 = l. Let z = 95 - y. Calculate the least common multiple of z and 27.
189
Let h = 608 + -1041. Let a = h + 463. What is the least common multiple of 30 and a?
30
Let d(v) = -5*v**2 - v + 129. What is the least common multiple of 852 and d(-5)?
2556
Let v = 79 - 74. Suppose -a + 5*b = -10, -a + v + 17 = b. Let s(n) = -n + 41. Calculate the least common multiple of s(25) and a.
80
Find the common denominator of 16/171 and (-632)/(-12)*-5*(-11)/(-3300).
1710
Let d be 1302/28 + (-3)/(-2). Let v be (-1 - -2) + (-294652)/d. Let k = 6133 + v. Calculate the common denominator of 69/10 and k.
60
Let s be 9/(36/(-8)) + (2631 - 2). Let g = -26359/10 + s. Calculate the common denominator of -21/5 and g.
10
Let u be (1*(-8)/20)/(1/40). What is the common denominator of (2944/360)/u + -1 and -35/6?
90
Let t = 84 - 70. Calculate the least common multiple of t and 2/(-18) + -8 + 18377/153.
112
Let t = 60379/960 + -629/10. Find the common denominator of t and 97/24.
192
Let r = -15 - -46. Suppose 1 = 4*g + k + 4, 3*g + r = 5*k. Calculate the lowest common multiple of (16/20)/(g/(-50)) and 14.
140
Let p be (2 + 22/(-9))*(-42)/13972. Let x = -32924/7485 - p. Find the common denominator of x and 37/25.
25
Let x = 4034 - 3782. Calculate the least common multiple of x and 168.
504
Calculate the lowest common multiple of (-399)/(-38)*(-16320)/(-42) and 33.
44880
Suppose -2*o = 2*g - 6*g - 512, 0 = 3*o + g - 754. Suppose o = 8*d - d. Suppose -4*y + d = 20. What is the smallest common multiple of y and 10?
20
Suppose 0 = 15*a - 30 - 30. Suppose 2*u + a*v = -4 - 14, -2*u - 2*v = 12. What is the common denominator of -46/7 and (-3 + (-254)/(-64))*(1 - u)?
56
Suppose 2085 = 2*l - 29*d + 26*d, -3*l = -d - 3110. Let b = -11394/11 + l. What is the common denominator of b and 67/12?
132
What is the least common multiple of 4 and -122*319/(-11) - 17?
14084
Let i be 5/(-21 + 1) - (-17)/4. Let h be (69/63 + -3)*(-6)/i. Let j = h - 89/14. Calculate the common denominator of -23/80 and j.
80
Let l = 446 - 206. Suppose 0 = 35*g - 31*g - l. Calculate the lowest common multiple of 48 and g.
240
Let i be 1/2 - 7/(-2) - -2. What is the lowest common multiple of ((-6)/(-7))/(2/14) and (-2 + i)*55/10?
66
Let i = 433 - 427. Calculate the common denominator of (12/2)/i*(-11)/69 and 61/27.
621
What is the lowest common multiple of 21 + (18/3 + -5 - 2) and (-4)/(-30)*5*(3 - -18)?
140
Let t = 3/7628 + 476723/68652. Let i = -73902 - -6946871/94. Find the common denominator of i and t.
846
Let n = 263119/404872 - 22/3893. What is the common denominator of 115/42 and n?
2184
Find the common denominator of 55/12 and 12/12780*132/(-24)*4/(-6).
12780
Let k be (-8 - (-66)/8) + (-51)/(-4). Suppose -k*u = -5*u - 272. Calculate the lowest common multiple of u and 20.
340
What is the smallest common multiple of 10 and -237*(-4 - (-1 + -1))?
2370
Let n be (100066959/10)/(-9)*4/(-8). Let c = -5656197/10 + n. Let a = -9690 - c. What is the common denominator of a and -91/2?
20
Let p be -4 + -1 - -4 - 3400/1932. Let c = p + 13/69. Find the common denominator of (-811)/(-70) - (-4)/(-14) and c.
70
Let c be (-1040)/(-120) + (-4)/(-3). Suppose 2*b = -11*u + 7*u + 34, -2*b = -c. Calculate the smallest common multiple of 18 and u.
18
Suppose 14 - 9 = -s, -5*l + 5*s = -20. What is the common denominator of l*(243/63 + 1) and 23/14?
14
Let v be (0 - -1) + 2/2. Let i(m) = -2*m + 6. Let p be i(v). What is the lowest common multiple of 27 and 8/60 + p/(60/806)?
27
Let v(x) = -x**2 + 11*x - 20. Let f be v(7). Suppose -m = -5*m + f, 2*s - 2*m = 120. What is the least common multiple of 3 and s?
186
Let u = 41 + -27. Suppose 0 = -u*l + 4*l + 50. Suppose 0 = l*t - 4*t - 3. Calculate the lowest common multiple of t and 5.
15
Let f(z) = -2*z**2 - 3*z + 10. Let u be f(-3). Find the common denominator of -1/48 and ((-47)/33)/(6/18 + u).
528
Let s(a) = -a**3 + 3*a**2 + 5*a - 2. Let p be 3 - (-4 - -7)/(-3). Let i = 34 - 26. What is the least common multiple of s(p) and i?
8
Let p = 6232 - 274185/44. What is the common denominator of p and -91/6712?
73832
Let j(w) = 14*w**3 - 13*w**2 - 3. What is the lowest common multiple of 40 and j(4)?
5480
Suppose -p + 5*l = -2*p + 398, -5*l = 10. Calculate the common denominator of 44/(-176) - 158/p and 23/30.
510
Let d(z) = z**2 - 3*z - 3. Let x be d(3). Let p(l) = -3*l**3 + 29*l**2 + 9*l + 12. What is the smallest common multiple of p(10) and (-1)/x - 106/(-6)?
18
Let h = 213 - 214. Let m = 1 + 1. Calculate the least common multiple of ((-18)/(-4))/(h/2 - -1) and m.
18
Let f = 258/7 - 465/28. Let u = f - 527/26. Calculate the common denominator of 57/16 and u.
208
Suppose -160 + 167 = 7*w. What is the common denominator of -56/27 and (w/(-3))/(((-21)/150)/(-1))?
189
Suppose 5*o + p - 117 = 0, -28 + 80 = 2*o + 3*p. Suppose 3*z - 2*a - o = 17, -12 = -z + 2*a. What is the smallest common multiple of 2 and z?
14
Suppose 2*c + 819 = 5*y - 1171, 0 = 2*y + 2*c - 782. Suppose -5*n + n = -y. Let z = n + -72. What is the smallest common multiple of z and 27?
27
Let y = -2545622 - -12225000904784/4802363. Let o = -15209083429/461026848 + y. Let r = 1225/32 + o. Calculate the common denominator of r and -23/33.
264
Let z(t) = 12*t - 5. Calculate the least common multiple of z(5) and (1/(-6) + 77/14)/(24/180).
440
Let c = 30613 - 30217. What is the least co