6
Let k = -2 + 4. Suppose 2*a + k = 14. Suppose -4*m + 3*g = -9 - 23, 3*m = -2*g + 24. Calculate the smallest common multiple of a and m.
24
Let q be 10*(-1 - (-1 + 2)). What is the common denominator of 12 and (q/8 - 3)/(2/18)?
2
Let y be (-29)/(-44) + 16/(-24). Let c = y + 2515/924. Let v = 5901/4433 - -8/143. Find the common denominator of c and v.
217
Suppose 10*n - 12*n - s = -34, 0 = -2*n - 4*s + 40. What is the least common multiple of 28 and n?
112
Suppose 1 = -k - 2*z - 1, -4*z - 22 = -k. Let y(j) = j**2 - j - 8. Suppose 27*x + 25 = 22*x. Calculate the smallest common multiple of y(x) and k.
66
Let m(b) = -4*b - 5. Let z be m(-3). Let f be (-2)/z - (-52424)/1596. Let c = f - 378/19. What is the common denominator of 145/18 and c?
18
What is the least common multiple of 25/((-150)/12) + 32 and 813?
8130
Let h be (24/(-15) + 2)*-10. Find the common denominator of 129/(-27) + -5 + 8 and h/(-8)*23/(-2).
36
Let x(n) = 36*n - 198. Calculate the least common multiple of (-333)/(-12) - (-1)/4 and x(6).
252
Let a = 44 - 48. Suppose j = 5*j - 212. Calculate the smallest common multiple of 42/56 - j/a and 4.
28
Let b = -56 + 152. Calculate the lowest common multiple of 15 and b.
480
Suppose 5*y - 5 = 6*y. Let c be (2 + y)*6/(-9). Calculate the common denominator of 79/14 and 3/c*(-407)/231.
14
Let k = 64 - 44. Let q = 27 - 17. Suppose 36 = -q*f + 13*f. Calculate the lowest common multiple of k and f.
60
Let v = -119/104 - 3/13. Find the common denominator of v and 81/20.
40
Suppose -2*x - 5*g + 26 = 0, -3 = -5*x + 4*g + 29. Calculate the smallest common multiple of 4 and x.
8
Let f(x) = 8*x**2 - 2*x - 1. Let d = -21 - -23. Let s be f(d). Calculate the smallest common multiple of 8 and 9/(-2)*(-18)/s.
24
Let i be 3/(-3 - 36/(-8)). Let o = i + 9. What is the smallest common multiple of o and 10?
110
Suppose -195 = -27*q + 22*q. Suppose -87 = -21*y + q. What is the smallest common multiple of y and 9?
18
Let p(d) = -12*d + 196. What is the lowest common multiple of p(15) and 272?
272
Let h = 4/2051 - -114796/30765. Calculate the common denominator of -48/235 and h.
705
Let c(n) = -n**2 + 1. Let a be c(-1). Suppose -3*m + 5*m - 60 = a. Let f = 50 - m. What is the least common multiple of f and 18?
180
Let t = -9655 + 173743/18. Let s = 57409/20 + -2871. What is the common denominator of s and t?
180
Suppose 30 = -2*n - 8. Let k = -13 - n. Let a(w) = -w**2 + 1. What is the lowest common multiple of k and a(0)?
6
Suppose 0 = -5*i, 0 = -2*a + a + 4*i - 10. Calculate the lowest common multiple of (-9)/((-45)/a) + 14 and 8.
24
Let u = -43/20 - 527/20. Let f(d) = 2*d**3 - d**2 + 4. Let p be f(0). What is the common denominator of (-35)/15 - -3*p/18 and u?
6
What is the common denominator of 107/72 and (-465)/(-124)*21/18?
72
Let n = 8/431 + -25469/2155. Calculate the common denominator of n and 230/12 - 27/(-54).
15
Let y = 178495/2 + -87408. Let l(b) = 448*b - 4. Let w be l(-4). Let x = y + w. Find the common denominator of x and -63/10.
10
Suppose -5*v = -v + 8. What is the lowest common multiple of 11 and 9 - (-4 - v - -3)?
88
Let h = 363/37 + -1613/666. Calculate the common denominator of h and -2 - 46*(-2)/40.
90
Let t(w) = w**3 - w**2 - 2*w - 21. Let x be t(0). Find the common denominator of x/(-364)*42/9 and 65/2.
26
Suppose 2928 = -5*r - 917. Let z = r - -4657/6. What is the common denominator of z and 41/21?
42
Let w(t) = -t**3 - 23*t**2 + 6*t + 38. Let i be w(-23). Let s be (-2)/(-4) - 519/(-6). What is the common denominator of 5/(-15) + i/s and -19?
29
Suppose -5*w = -z + 100, 3 = 5*w - 2. Let v = z + -77. Calculate the lowest common multiple of 8 and v.
56
Calculate the least common multiple of 25 and (-58 - -123)*9/3.
975
Let z = -56 - -48. Find the common denominator of (-273)/(-27) - z/36 and -11/4.
12
Let g = -21 - -20. What is the common denominator of (-436)/24 - 3 - g and (-7)/(0 - 1 - 9)?
30
What is the common denominator of (748/84)/11 - 3 and (-485)/(-40)*12/15?
210
Let w = 2522 + -7639/3. What is the common denominator of 58/5 and w?
15
Let r(o) = -o**2 - 11*o - 12. Let a be r(-9). Find the common denominator of 3575/(-60)*a/15 and 2 - 3 - (-64)/5.
30
Calculate the common denominator of ((-248)/54)/((-262)/(-393)) and (7*-1 - -1)/(-5).
45
Let z = -12 - -20. Suppose 73*b - 54*b = 114. Let s = z + b. Calculate the least common multiple of s and 4.
28
Let a be 4*(-4)/(-16)*8. Calculate the lowest common multiple of 10*-4*(-1)/a and 9.
45
Find the common denominator of -73/20 and (12/(-600))/((-20)/(-1425)).
40
Suppose -478 = -3*u + 3*c - 139, 0 = 2*c - 2. Calculate the common denominator of (-1)/((-2)/u*4) and ((-1975)/30)/(-5) + -3 + 3.
12
Let b(g) = -g**3 + 3*g**2 + g + 14. Let o be b(4). Suppose -o*t + 4*k - 37 = -163, -4*t + 261 = -5*k. Calculate the least common multiple of t and 33.
759
Suppose 30 = l - 3*n, 0*l = 3*l + 3*n - 66. What is the lowest common multiple of (-46 - -36)*18/(-10) and l?
72
Let y = -8 - 8. Let v = y + 3. Calculate the smallest common multiple of 2 and (v + (-1)/1)*-1.
14
Let p(i) = -i**2 + 13*i - 2. Let h be p(13). What is the common denominator of 11/12 and (h/(-8))/((-7)/651)?
12
Let a = 5485237067/60 + -91417700. Let o = -11695/4 + a. Calculate the common denominator of o and -73/18.
90
Let z = 1105/11 - 96. What is the common denominator of -46/73 and z?
803
Find the common denominator of 8 - (-1 - -7) - (-706)/(-324) and -23/36.
324
Suppose 0 = 32*c - 26*c - 2772. Calculate the smallest common multiple of c and 252.
2772
Suppose -2*u = -3*u - 3*n + 23, 5*u - 4*n - 39 = 0. Suppose -8*d = -110 + 38. Calculate the least common multiple of d and u.
99
Suppose 10*t = 8*t + 8. Suppose 4*v - 34 = 3*d - 2*d, t*d + 48 = 5*v. What is the smallest common multiple of 10 and v?
40
Suppose 3*s - 21 = -2*w - 0*w, 3*s = -4*w + 57. Calculate the least common multiple of (-3 + 7/4)*-24 and w.
90
Let w be 1 + 39/(-15) - (-4)/(-10). Calculate the lowest common multiple of 6/12 + (-17)/w and 15.
45
Suppose 3*m + 109 = 7*o - 2*o, 3*m - 31 = -2*o. Calculate the common denominator of -55/14 and (52/(-72))/(o/(-114)) - 1.
420
Let c(x) = -x**3 - x**2 + x + 6. Let d be c(0). Suppose 10*n - 72 = d*n. Suppose 3*q - 32 = -q. What is the lowest common multiple of n and q?
72
Let q = 38 - 30. What is the common denominator of -31/14 and q/(-6) - 2022/(-396)?
154
Suppose -908 = -7*h + 3*h + 4*n, -h - 3*n = -243. Suppose 5*g = -2*k + 867 - 5114, g - k + 848 = 0. What is the common denominator of -11/5 and (-1)/(-7) - g/h?
55
Let z(v) = 16*v - 12. Let y be z(4). What is the common denominator of 4/(8/3) + y/(-168) and 1/27?
189
Let l(b) = -b**2 - 11*b - 8. Let n(v) = v + 7. Calculate the least common multiple of n(9) and l(-9).
80
Suppose 3*f + 13 = -5*b, 28 = -4*f + 6*f - 4*b. Suppose 0 = -f*q + 2*q + 2. Calculate the smallest common multiple of 2*(q + 5 - 4) and 4.
4
Let y = -2/4097 + -45043/49164. Let v = y + -415/12. Calculate the common denominator of v and 45/14.
14
Let i = 909148219/114 + -7974910. Let z = i + -992/19. What is the common denominator of z and 57/5?
30
Let w(d) = 4*d**2 - d. Let t(p) = -p**2 - p. Let b be t(-2). Let x be w(b). Suppose -4*z + 14 + x = 0. Calculate the least common multiple of z and 20.
40
Suppose -3*s = -24 + 6. Let x be (-2)/s*(-66)/2. Calculate the lowest common multiple of 4 and (x/(-2))/((-6)/12).
44
Calculate the common denominator of 6/(-27) + 10 + (-4232)/720 and 49/8.
40
Let c = -7/55 - 171/22. Find the common denominator of -51/46 and c.
230
Let z be 1/(-48)*-98 + (-4)/(-6). Let u = z + -19/12. What is the common denominator of 69/32 and u?
32
Suppose 0 = 4*d + 5 + 3. Suppose q - 3*j = -2*q + 93, 4*q + j = 134. Find the common denominator of q/(-2)*d/(-6) and -79/6.
6
Suppose 2*a = -4*b + 110, -a + 134 = 4*b + 27. Suppose 0 = i - 4*i + 9. Suppose 0 = -2*r - 10, r + i*r = j - b. What is the least common multiple of 3 and j?
6
Let u = 40 - 120. Find the common denominator of -23/33 and ((135/u)/(-9))/(9/178).
264
Find the common denominator of (-5)/(4260/1497) + (-12 - -14) and 35/22.
3124
Let x = -23423 + 11945719/510. Find the common denominator of 22/45 and x.
1530
Let f be 1/(2 - (-34)/(-18)). Suppose 29*i - 27*i = 16. Let b = f - i. Calculate the lowest common multiple of 3 and b.