0
Let k be 1542/(-760) + (0 - -2). Let u = k - -117/38. Let d = -1051 + 8317/8. Calculate the common denominator of d and u.
40
Calculate the smallest common multiple of 108 and 11/(187/1632)*(-6)/(-8).
216
Let l = 971 - 929. Calculate the smallest common multiple of l and 56.
168
Let w be ((-290)/168)/(-1 + (-67)/(-53)). Let f = w + 212/49. What is the common denominator of 73/10 and f?
120
Suppose -5*k = 3*y + 310, 3 = 2*k - 3*y + 127. Let t = -60 - k. What is the least common multiple of 30 and t?
30
Let f(v) = -v**2 + 14*v + 1. Suppose -4*g - 10 = -74. Calculate the smallest common multiple of g and f(13).
112
Let i = -187 + 199. What is the smallest common multiple of 27 and i?
108
What is the common denominator of -7 + -4 + (-498)/(-84) and -83/744?
5208
Suppose -5*j - l - 259 = 0, 204 = -3*j - l + 49. Let f = -44 - j. Calculate the lowest common multiple of 4 and f.
8
Find the common denominator of 103/100 and 1/(3 - (4 + (-438)/(-102))).
900
Let r = 748685/72 - 10398. What is the common denominator of -119/90 and r?
360
Suppose -6*v = -v - 5. What is the common denominator of 87/30*3/v and 0/2 + 7/42?
30
Suppose 0*a + 5564 = a. Let c = 53399645/12 - 4455542. Let i = c + a. What is the common denominator of 99/8 and i?
24
Let y be 9/(-6)*8/(-3). Find the common denominator of (-122)/(-40) + 1 - (-16)/(-64) and (-2)/(-11)*(-34)/y.
55
Let t(r) = -r**2 + 7*r + 10. Let n be t(7). Suppose -z = -2*j - n, -2*z + 4*j = -5*z. What is the common denominator of 2/z*138/12 and 137/6?
12
Let g = 3 + 333. What is the lowest common multiple of 8 and ((g/15)/(-7))/(2/(-5))?
8
Let i(z) be the second derivative of -z**5/20 - z**4/2 + 2*z**3 + 4*z**2 + 2*z. Calculate the lowest common multiple of 36 and i(-8).
360
Let b = -5016376/121 + 41458. What is the common denominator of b and -4/55?
605
Suppose 64 = 5*t + l - 51, -92 = -4*t + 4*l. Let h = 42 - t. Suppose -11 = -5*d + h. Calculate the smallest common multiple of d and 12.
12
Let s be 0 - (-418 + (-1 - -1)). Let n = 7507/10 + -754. Calculate the common denominator of 6/(-21) - s/(-140) and n.
10
Let g = -23 - 2. Let w be (-5)/(-10) + (-9)/(-2). Let m = w - g. Calculate the lowest common multiple of 16 and m.
240
Let t = 307/4 - 1561/20. What is the common denominator of t and 149/6?
30
Let y(j) = 2*j**2 + 1 + 2 + 8*j + 1 + 0*j**2. What is the smallest common multiple of y(-5) and 44?
308
Calculate the least common multiple of 8 and -5 - 0 - (-336)/16.
16
Suppose p + 2 - 12 = 0. Suppose 0 = 3*c - 0*c - 9. What is the least common multiple of p and c?
30
Calculate the common denominator of (-2)/(1599/(-4108) - (-6)/(-8)) and 23/72.
360
Suppose 96*u - 98*u + 18 = 0. Suppose 4*s + 2*c - 26 = 0, 4*s - c - 5 = 3*s. What is the lowest common multiple of s and u?
18
Suppose 3*s + 72 - 37 = 8*s. Let f = 7 + 20. What is the smallest common multiple of f and s?
189
Let t(w) = -3 - 2*w + 5*w + 1. Let x(n) = n**3 - 11*n**2 - 10*n - 8. What is the least common multiple of t(4) and x(12)?
80
Let s = 4 + 2. Let p be (-7)/42 + 637/s. Find the common denominator of -59/8 and ((-1)/(-1))/(12/p).
24
Let m = 243 - 149. Calculate the least common multiple of 10 and m.
470
Let f = -1764/19 - -61129/684. Calculate the common denominator of f and 121/24.
72
Let g = -57882 - -3357257/58. Find the common denominator of g and 23/290.
290
Suppose -b + 65 = 5*s, 6*s - 13 = 7*s - 5*b. What is the smallest common multiple of 18 and s?
36
Suppose -14*m + 4 = -10*m, -85 = -4*i + 3*m. What is the lowest common multiple of 158 and i?
1738
Suppose 6 = 2*z - 0. Suppose z*u - 36 = 6*u. What is the common denominator of 75/22 and u + 14 + (-47)/(-10)?
110
Find the common denominator of 81/416 and 15105/(-2160) + (-5)/(25/(-40)).
3744
Let z = -6 + 18. Find the common denominator of 3 + (2 - 13/z) and (-2)/((-4)/3*(-33)/253).
12
Let z = 1015/6 - 1185/7. What is the common denominator of 16/21 and z?
42
Let m be 26*(5 - 3)*1. Suppose -2*f + 5*p = 9, 4*f = p - 5*p + m. What is the least common multiple of f and 35?
280
Let g(j) = 2*j**2 + 5*j + 4. Let b be g(-5). Let l = 17 - b. What is the least common multiple of 2 and -3*(32/l)/2?
4
Let b(q) = -q**2 + 18*q + 12. Let g be b(16). Let h = g + -32. Let s(m) = m + 4. Calculate the smallest common multiple of h and s(-2).
12
Let d = -41549096/230163715 + 690/3823. Let g = -2950117/2167380 - d. Find the common denominator of -37/14 and g.
252
Suppose 7*b + 4*h = 3*b + 24, -2*b + 42 = -4*h. Suppose l - 3*d = -b, 2*d - 4*d + 18 = 2*l. Calculate the smallest common multiple of 3/l + 1386/72 and 10.
20
Let f = -627/32 + 109117/5600. What is the common denominator of 61/2 and f?
350
What is the common denominator of 1 + 1 + 285/6 and (-158)/20 + 3/3?
10
What is the lowest common multiple of -637*-1*4/14 and 208?
1456
Suppose 2*i + 8*i = -40. Calculate the common denominator of -82/33 and -5 - (i - 322/48).
264
Let h(o) = o**2 + 2*o - 1. Let a be h(1). Let i = 4 - a. Calculate the smallest common multiple of 19 + i*(-1)/(-2) and 10.
20
Let h(r) = r**2 - 9. Let v be h(7). Let p = 60 - v. Suppose 11*f = 9*f + p. What is the least common multiple of 11 and f?
110
Suppose 2*j - 95 = -3*j. Suppose 0 = -25*z + j*z + 12. What is the smallest common multiple of z and 42?
42
Suppose -4*q = -3*u + 5, -5*q = -4*q + 3*u - 10. What is the smallest common multiple of 22 and q?
22
Suppose 3*g + 2*r = 226, -5*g - 3*r = 158 - 535. What is the least common multiple of g and 8?
152
Suppose -4*s - 368 = k + 514, s + k + 222 = 0. What is the smallest common multiple of -6 - (-104)/18 - s/18 and 4?
12
Let i be (2/2)/((-232)/(-76) - 3). Suppose 16 = 5*a - i. What is the least common multiple of 3 and a?
21
Let a = -206864/81645 - -2/5443. Let l = 328/15 + a. Let z = l - 8. What is the common denominator of -31/11 and z?
33
Let z = 33 + -24. Suppose -4*c - 84 = p, 0 = -2*p + z - 1. What is the common denominator of (-2)/((-8)/(-348)*c) and 93/14?
154
Calculate the common denominator of 115/(-12)*33/(-110) and 0 + 3/(-4) - (-4540)/(-240).
24
Suppose 29 = i + 2*x + 7, -5*i + x = -121. What is the lowest common multiple of 10 and i?
120
Suppose -3*y = 5*y - 64. Suppose -3 = u - 8. Calculate the least common multiple of u and y.
40
Let l = 9 - 3. Suppose 2*n + 0*n - 26 = -5*w, -5*w + 80 = 5*n. What is the least common multiple of n and l?
18
Suppose -7*t = -8*t + 40. What is the lowest common multiple of 32 and t?
160
Let p(m) = 5*m - 19. Let j = -3 - -4. Calculate the lowest common multiple of p(6) and j.
11
Suppose 9*d - 1488 + 192 = 0. What is the lowest common multiple of d and 162?
1296
Let x = 731905923/230 - 3182171. Let f = 450/23 - x. Find the common denominator of f and -13/31.
310
Let c = -25057/6 + 4187. Calculate the common denominator of -29/9 and c.
18
Calculate the common denominator of -7*((-38)/44 + 1) and ((-2146)/(-1221))/((-4)/9).
22
Let f = 4 - 2. Calculate the smallest common multiple of 15 - -4 - 6 - 11 and f.
2
Let z = -1620 + 1628. What is the lowest common multiple of 22 and z?
88
Suppose -4*j + 4*q + 22 = -2*j, -2*q - 6 = 4*j. Calculate the common denominator of ((-101)/12 + j)/(1 - 2) and 77/20.
60
Suppose -2*z + 26 = -2*g, 4*z - 92 = -28*g + 24*g. What is the smallest common multiple of z and 20?
180
Suppose 239 = 5*g - 0*g - 4*u, -2*g + 106 = u. Let i = 10 - g. Let a = i - -61. What is the smallest common multiple of a and 18?
180
Suppose 6*y = 79 - 43. Let v(r) = -5*r**2 + 11*r - 13. Let l(f) = f**2 - f + 1. Let i(m) = -4*l(m) - v(m). Calculate the smallest common multiple of 5 and i(y).
15
Let o = 193675521/566 - 342183. Calculate the common denominator of -89/22 and o.
6226
Suppose -4*x + 0*z + z + 81 = 0, 5*x - 5*z - 105 = 0. Let j be (x/70)/((-1)/(-7)). Suppose -j*k + 0*k = -12. Calculate the least common multiple of k and 14.
42
Let r be -1 - (-3 + 2)*-1. Let y be (-1)/r + 10366/(-20828). Let k = 692747/93726 - y. Find the common denominator of k and 57/20.
180
Let z = -9 + 7. Let l be (z/8)/(3/(-12)). What is the lowest common multiple of 2/l*(-4)/(-8) and 16?
16
Suppose 32 - 137 = -3*t. What is the least common multiple of t and 65?
455
Let t(l) = l**3 - l**2 + 3*l - 2. Calculate the lowest common multiple of (0 - -6) + 489/(-163) and t(2).
24
Let g(m) = m**2 + 17*m + 46. Calculate the l