*m. Let w be r(-8). Let x be 3/1 + (-1 - w). Suppose -y - 7 = -3*p - 30, 6 = -x*p. What is the smallest common multiple of 4 and y?
28
Suppose 0*x - 2*x = l - 5, -x - 5 = 3*l. Calculate the common denominator of 6/(-3) - (-363)/(-18) and 3 + x + (-124)/24.
6
Let q = 39693/13880 - -40/347. Calculate the common denominator of q and 127/150.
600
Let h(k) = 2*k + 49. What is the lowest common multiple of h(14) and 44?
308
Let o = 2013 - 1980. What is the least common multiple of o and 11?
33
Let w be 56662/(-3954) + 9/6. Let a = w + -2/659. Calculate the common denominator of 5/6 and a.
6
Let b(d) = -d**2 - 7*d - 6. Let c(m) = 2*m**2 - 10*m + 13. Let s be c(5). Suppose 0 = -3*w + s + 20. Calculate the least common multiple of b(-5) and w.
44
Suppose 0 = v + 2*f - 10 + 46, 3*v = -2*f - 116. Find the common denominator of (-218)/(-10)*v/144 and -31/16.
144
Suppose 3*i + 6 = 6*i. Suppose -3*j + 39 = i*k - 91, 49 = j - 5*k. What is the least common multiple of 44 and j?
44
Suppose 3*o = 5*g - 41, -o - o - 22 = 2*g. Find the common denominator of 94/15 and 2*177/o*(-1)/12.
120
Let r = -7185 - -574833/80. What is the common denominator of r and -25/16?
80
Let f = -7162 + 7164. Let b(n) = -n**3 - 7*n**2 - 8*n - 2. Calculate the lowest common multiple of b(-6) and f.
10
Let x be 2120 + 3*(-3)/(-27). Let v = -2098 + x. Calculate the common denominator of v and (60/(-84))/(2/7).
6
Let g = 22282/27 + -2462/3. Let v = 2855/216 - g. Let u = 235/22 - -42/11. Find the common denominator of v and u.
8
Suppose -z + 2*h - 148 = 4*z, -4*h - 124 = 4*z. Let f = -8173/36 + 2074/9. What is the common denominator of f and ((-284)/z)/((140/25)/(-7))?
12
Let a = -665/18 - 14/9. Calculate the common denominator of (-3 - (-93)/15) + (22 - 22) and a.
10
Suppose 0 = -2*d - 13 - 25. Let n = -8 - d. What is the smallest common multiple of n and (-33)/2*(-6)/9?
11
Suppose 2*w = w + 9. Find the common denominator of ((-3)/w)/((-4)/(-9)) and -3 + 2 - (-34)/4.
4
Calculate the common denominator of 3 - (-29)/(-9) - (-3234)/(-7560) and -32/75.
300
Let o = 0 + 6. Calculate the smallest common multiple of (-1)/4*-4*25 and o.
150
Suppose 0 = -4*t - 11 - 13. Calculate the common denominator of 1/2*t/4 and 31/6.
12
Let k = 7 + -3. Suppose 0 = 2*v - k - 16. What is the common denominator of 170/48 - v/(-30) and -93/4?
8
Let a(x) = -3*x - 10. Let o(f) = -f**3 - f**2 - 3*f - 2. Suppose 4*d + 5*y + 18 = -0*d, 5*y = -10. What is the least common multiple of o(d) and a(-7)?
88
Suppose 0 = -x - u - 1, 2*u + 2*u = x + 6. Let t = -14990/1771 - -9/253. What is the common denominator of (99/(-12))/(x/8) and t?
7
Find the common denominator of ((-6)/16)/(54/568) and -33/1136.
10224
Suppose -2*m + 25020 = m. Suppose 5*w = -q - 1863, -4*q - 2*w = m - 798. Let s = q + 15011/8. What is the common denominator of s and 47/10?
40
Let l = 6118/3 - 20407/10. Find the common denominator of 38/27 and l.
270
Suppose 52 = 3*n + 4*k, -k - 97 = -4*n - 15. Let g = -10 + 12. Suppose 2*t = -4*w + 22, -5*w + t = -g*t - 11. Calculate the smallest common multiple of w and n.
20
Let f(x) = 3*x**2 + 31*x - 18. Let n be f(-11). Find the common denominator of (-2)/7 - (-878)/(-308) and (8/(-6))/n + 985/30.
22
What is the least common multiple of 1034 and ((-1378)/(-65) + -18)*10/4?
4136
Let s = -1 - -6. Suppose -2*v = -s*v + 18. Let y(m) = -3*m**3 - 2*m**2 - 2. What is the least common multiple of v and y(-2)?
42
Let r(a) = a**3 - 2 + 2 + 4 + 2*a**2 - 3*a**2. Suppose 2*p = p. What is the least common multiple of r(p) and 6?
12
Let l = 48 - 45. Suppose -2*h + f = l*f - 42, 41 = h + 5*f. What is the smallest common multiple of (-6)/(-33) - (-304)/22 and h?
112
Let w = 217 + -195. Let y be 597*-4*(-4)/48. Suppose n + y = 5*c, 0 = 4*n - 0*n - 4. Calculate the least common multiple of c and w.
440
Let j = 12289/7224 + -48/301. What is the common denominator of j and -13/32?
96
Let c(w) = -2*w**2 - 7*w + 1. Let b be c(-5). Suppose 4*d - 22 = 5*d. Let a = b - d. Calculate the least common multiple of a and 4.
8
Let a = -6 - -13. Let j = -71359/18249 + 2/1659. What is the common denominator of a/2 - -2 - 1 and j?
22
Suppose 2*r = -2*z + 6*r - 10, 0 = 4*r - 12. What is the least common multiple of -1 + (1 - (-9 - 1)) and (-2)/(-1 - z)*20?
20
Suppose 0 = -5*y - 3*c + 28, -3*y - 4 = c - 20. Suppose -2*z = -0*z - 8. What is the common denominator of -11/4 and (-22)/z + (5 - y)?
4
Let p = -11114/15 + 735. Let m = p - -259/30. Find the common denominator of -39/5 and m.
10
Let o = 232030727/48326496 - -790/21887. Let u = -3/736 + o. What is the common denominator of u and 25/18?
18
Let d = -1306/3 - -5419/12. Find the common denominator of 107/28 and d.
28
Let n = -3747022612 + 39017746544377/10413. Let w = 1/3471 - n. Find the common denominator of w and -40/13.
117
Calculate the smallest common multiple of 20 and (181 - 179)/(2/20).
20
What is the common denominator of 80/30 + (-1208)/(-384) and -39/2276?
9104
Let t = -2063 - -1373. Let r be (-8)/16 - t/(-2). Let d = 378 + r. What is the common denominator of 55/8 and d?
8
Let o = -13838 - -6145. Let n = o + 107627/14. Find the common denominator of n and -81/10.
70
Suppose -20*s = -23*s + l + 272, -s + 4*l + 76 = 0. What is the lowest common multiple of 138 and s?
276
Suppose 15*a = 166 + 134. Calculate the lowest common multiple of a and 5.
20
Let r = 11984 - 934717/78. Let m = 322523/54670 + 3/5467. Find the common denominator of m and r.
390
Suppose 30 = -5*g + h, 2*h + 3*h = 3*g + 40. Suppose 3*z = -14*z + 272. Calculate the lowest common multiple of z and (g - -1)*1*-2.
16
Let s(q) = 4*q. Suppose -45*z - 13920 = -161*z. What is the least common multiple of z and s(2)?
120
Suppose -3 = -3*b, -2*q + 2*b + 21 = 3*b. Find the common denominator of (4/40)/((-8)/q) and -32/43.
344
Suppose 4*h + 56 = -2*k, -2*h - k - 2*k - 20 = 0. Let v = -26915/9 - -2987. Find the common denominator of h and v.
9
Let f = -1590458/183 - -8691. Let k be 3508/10*4*10/4392. Let z = f - k. Find the common denominator of 5 and z.
9
Let y = 1428 - 1378. What is the smallest common multiple of y and 155?
1550
Suppose -14*b - 211 = -4*h - 9*b, -2*h + 4*b + 104 = 0. Calculate the least common multiple of h and 99.
594
Suppose 10*b + 127 = 217. Suppose -115 = -3*h - 16. What is the smallest common multiple of b and h?
99
Let i = 23 + -33. Let p = 50309/12 - 4184. Find the common denominator of p and (i/(-48))/((-4)/(-200)).
12
Let j = -10/5517 - -208027/121374. Calculate the common denominator of 1/(-2)*9*3 and j.
66
Let w(j) = j**2 - 23*j + 31. Let o be w(22). Suppose -4*c + 20 = -o*c, 3*c + 36 = 2*p. Calculate the least common multiple of p and 60.
60
Let f = -198227/20 + 9914. Calculate the common denominator of -65/44 and f.
220
Let o = -5977/9 + 1337/2. Find the common denominator of o and (-2)/20*83/2.
180
Let c = 835/2 - 446. Calculate the common denominator of ((-3)/(-36) - 0)*10 and c.
6
Let n be (104/10)/(-3 - 31/(-10)). Suppose -5*c = 8*c - n. Calculate the least common multiple of 42 and c.
168
Let k = 43 + -35. Calculate the smallest common multiple of k and 6.
24
Let m = -9659 + 96677/10. Let i be ((-42)/(-45))/(2/(-102)). Let h = -807/20 - i. Calculate the common denominator of h and m.
20
What is the common denominator of (2060/(-80))/(-15 + 2*-1) and 31/10?
340
Let k be 3*(-1)/5 - (-10)/(-25). What is the least common multiple of 8 and 7*(1 + 2 + k)?
56
Suppose -d = -5*d + 72. Suppose -4*o + 5*o + 2*x - d = 0, 3*o = x + 54. Let q = -1 + 3. What is the least common multiple of q and o?
18
Let i = 72 - 56. What is the smallest common multiple of i and 10?
80
Find the common denominator of ((-31257)/(-432))/(-23) - 0 and 19/30.
240
Let r = 14 - 9. Calculate the least common multiple of 1/(-5) + 36/r and 9.
63
Let h(n) = n**3 + 8*n**2 + 9*n + 10. Calculate the lowest common multiple of h(-5) and 140.
280
What is the common denominator of 79/60 and (-401)/(-210) + -2*(-2)/(-4)?
420
Let a = 2 - -3. Let u = a - 4. Calculate the common denominator of 51/4 and (14/24)/(u/34).
12
Let a be (-2)/13 + (-1047)/39. Find the common denominator of -55/8 and 129/(-1188) - 6/a.
88
Let h be ((-28)/(-4994))/((-8)/(-4726)). Let g = h - -22/227. What is the common denominator of (-75)/2 + -1 + -1 and g?
22
Calculate