 - 5*h = -h - 48, -39 = -2*b + 5*h. Let t = 23 - 5. Calculate the lowest common multiple of b and t.
198
Let j(k) = 2*k + 10. Let m be j(-4). Let o be (-241)/3 + (-1)/(-3). What is the common denominator of -37/12 and (2/o)/(m/(-315))?
48
Let f(z) = 13*z**2 + z - 1. Calculate the smallest common multiple of f(-1) and 2.
22
Let d = -1780/153 - 5/153. Let f = 37 + -229/6. What is the common denominator of f and d?
6
Let u = -3 + 4. Suppose 0 = n - u, -5*d + 4*n = -1 - 10. Calculate the smallest common multiple of ((3 - 2) + -2)/(-1) and d.
3
Calculate the lowest common multiple of 4 and 1 - (-2 + 4 + -3).
4
Suppose -11 - 1 = -2*c. Find the common denominator of (-43)/(-4)*(-4)/(-11) and ((-38)/24)/((-4)/c).
88
Let a = 3363 - 47109/14. What is the common denominator of a and (-1342)/360 + 10/(-45)?
140
Let j be 2/3 - (-52337)/2940. Let i = j - 780/49. Find the common denominator of -121/6 and i.
60
Let n = 93 + -59. What is the common denominator of n and (126/4)/(-3) - -2?
2
Let p = 1979/4 + -512. Suppose 3*w = -3*x - 90, 2*x + 0*x = -4*w - 120. Calculate the common denominator of (17 + 1)/(w/16) and p.
20
Let k(i) = -2*i**3 + 7*i**2 - 5*i + 2. Let q be k(4). Let m = -27 - -39. Let a = m + q. Find the common denominator of a and 2/7.
7
Let q(t) = -1 + t + 2 + 2. Let s be q(-7). What is the common denominator of (1/(-4))/(s/648) and -47/7?
14
Suppose -3*k = -k - 10. Find the common denominator of -39/11 and (-63)/(-5)*(k + -4).
55
Suppose -4*b + 36 = -5*f, -2*b + f + 18 = -4*f. Calculate the smallest common multiple of b and 232.
2088
What is the lowest common multiple of 8 and 1/((-21)/12) + 32/7?
8
Suppose 102 - 363 = 3*g. Find the common denominator of 93/16 and g/(-10) - 1/(-5).
80
Suppose 4*f + 4*i - 10 = 3*i, -i + 7 = 3*f. Suppose -3*w - p + 10 = 3*p, 3*w - f*p = 45. What is the lowest common multiple of 18 and w?
90
Suppose 7 = 5*n - 18. Calculate the lowest common multiple of 10 and n.
10
Let f be 2 + (-2 - 1) - -5. Let z = f - 0. Suppose -z*d + d = -33. Calculate the common denominator of d and 31/3.
3
Suppose 1054 = 4*u - 1014. Let f = u - 6185/12. What is the common denominator of -19/10 and f?
60
Calculate the common denominator of -20/9 and 1/3 - (-230)/(-96).
144
Let u = -57 - -85. Suppose 3*t = -u - 23. Calculate the common denominator of -33 and (-7)/(-18)*(t - -1).
9
Find the common denominator of -81/14 and 2/(10/101)*50/(-20).
14
Suppose 15 - 5 = q. What is the common denominator of (-517)/(-33) - (-1 + 2) and (138/q)/((-40)/(-25))?
24
Let q = 2 + 12. Let k be -3 + (10*2)/4. Suppose -b = -k*b + 5, 75 = 5*y + b. What is the least common multiple of y and q?
14
What is the common denominator of -23/20 and ((-17)/85)/(24/370)?
60
Suppose 17*m + 72 = 20*m. What is the least common multiple of ((-16)/(-10))/((-6)/(-15)) and m?
24
Let i = -133797/10 + 13368. Find the common denominator of i and 6/2*278/(-36).
30
Let x(s) = -s**2 - 9*s + 18. Calculate the lowest common multiple of x(-10) and 7.
56
Suppose 14*k = 9*k + 10. Calculate the common denominator of 2*k/(-48)*151 and -103/14.
84
Suppose 0 = -5*y - 0*m + 2*m + 82, -3*y = -4*m - 38. What is the least common multiple of 3 and y?
18
Let q = 22 - 443/20. Let d = 3973/60 + -403/6. Find the common denominator of d and q.
20
Let g be (1387 - (-1 + 0))/(-7). Let m = 198 + g. What is the common denominator of m and 79/10?
70
Suppose -4*o = -33 - 31. What is the least common multiple of o and -1 + 3 - (-12)/3?
48
Let q = 3161/434 + -166/31. Find the common denominator of q and 133/6.
42
Suppose -2*f + 41 = 4*s - 41, 5*s + f - 107 = 0. What is the least common multiple of s and 22?
22
Let i = -530/21 + 298/7. Let o be ((-2)/3)/(3/36). Calculate the common denominator of 140/o*1/(-3) and i.
6
Let b be (5/10)/(1/12). Suppose g - b = -g. Calculate the lowest common multiple of 3 and g.
3
Suppose 0 = -4*r - s + 8, -s - 8 = -4*r - 0*s. Suppose -3*x + f + 5 = -0, r*f - 17 = -3*x. Calculate the smallest common multiple of 1 and x.
3
Suppose 7*n - 4*n - 4 = 5*p, 2*n + 9 = p. Suppose -5*v + 64 = -v. What is the least common multiple of v and (-6)/(-8)*(1 - n)?
48
Let k = 7 - 5. Let s(t) = 3*t**2 + 3*t - 2. Suppose -z + 5 + 9 = 0. Calculate the least common multiple of s(k) and z.
112
Let x = -211/33 + 8/11. What is the common denominator of -91/2 and x?
6
Suppose 6 = 3*c - c, -11 = -n + 3*c. Calculate the smallest common multiple of n and 2.
20
Suppose 14 - 4 = c. What is the least common multiple of c and 66/9 + 1/(-3)?
70
Let h(s) = 3*s + 3. Suppose -3*d + 24 = -0*d. Suppose d = 4*u - 2*u. Calculate the lowest common multiple of u and h(5).
36
Let q(v) = v**2 - 3*v + 2. Suppose 0*j - 8 = -2*j. What is the smallest common multiple of 12 and q(j)?
12
Let l = -20999/8 - -2621. What is the common denominator of -22 and l?
8
Let o(h) = 6*h - 35. Suppose -2*v + 35 = 15. What is the least common multiple of v and o(7)?
70
Suppose 0 - 6 = -2*q. Let f be 2*(9/6)/q. Suppose -f = -2*d + d. What is the least common multiple of 1 and d?
1
Suppose 0 = s - 3*s. Suppose 5*b - 2*f - 14223 = s, 2*b - 2118 = 5*f + 3567. Let u = -19947/7 + b. Calculate the common denominator of u and -44/9.
63
Let y(p) = -p**2 - 3*p - 2. Let x be y(-2). Let k(b) = -b**2 + b + 12. Calculate the smallest common multiple of k(x) and 18.
36
Let b(o) = 7*o - 4. Let z be b(9). Suppose 4*u + z = 3*d + 2*d, d = 3*u + 14. Calculate the least common multiple of d and 3.
33
Find the common denominator of 53/16 and 17*1/(-6)*(-120)/80.
16
What is the common denominator of (-231)/168 + (-10)/8 and -8/9?
72
Let i = 127 - 91. Suppose -3*k - i = -q - 0*q, -144 = -4*q + 3*k. Suppose -3*s = -5*y + s + 66, -4*y - s = -q. What is the least common multiple of 6 and y?
30
Let j be -332 - (-2)/(-6)*3. Let a be (-1 + -1)*(0 - 1). Calculate the common denominator of -61/18 and -1 + j/30 + a.
90
Suppose -5*t - 82 = -3*j, 19 - 162 = -5*j + 2*t. Calculate the least common multiple of 7 and j.
203
Let j = -88663/12 + 7380. Find the common denominator of j and 1/6.
12
Suppose -4*p - 19 = 3*v, 5*p - 1 = -21. What is the common denominator of ((-6)/(-32))/((-2)/(-72)) and (v/6)/((-14)/(-642))?
28
Let r = 2107/1422 - 60/79. Find the common denominator of (2/(-48))/((-2)/(-9)) and r.
144
What is the common denominator of -1 + (-1)/(44/(-146)) and 59/16?
176
Suppose 4*d - 1 = 3. Find the common denominator of -17/26 and d/(-18)*345/(-2).
156
Suppose 17 = 3*q - 49. Let p = 4 + 1. Calculate the lowest common multiple of (-40)/(-6)*6/p and q.
88
Let w(s) = s**2 + 4*s + 4. Let z be w(-4). Suppose -5*i - 5 = -5*d, 0 = 5*i - 3*i + z*d + 2. Calculate the common denominator of 3/22 and ((-1)/32)/(i/(-146)).
176
Let x = -49 - -47. Suppose 7 = -g - 2. Find the common denominator of 57/7 and (x/(-40))/(g/54).
70
Let y(g) = -2*g**3 - 2*g**2 - 2. Calculate the least common multiple of y(-2) and 8.
24
Let i(v) = v**2 + 13*v - 11. Calculate the smallest common multiple of i(-14) and 4.
12
Suppose 0 = 3*m + 5*z - 86, 4*z - 82 = -7*m + 4*m. What is the lowest common multiple of 22 and m?
22
Let d be 6/(-27) + (-6)/(-27). Let y be 2 - (1 - (107 + d)). Suppose 2*z - 13 = 4*h + 19, 5*z - y = -4*h. What is the smallest common multiple of 18 and z?
180
Let s = -4 - -17. Suppose -27 - s = 4*y. Find the common denominator of -44/7 and (-66)/y - (-9)/15.
35
Suppose -5*u + 4*h = -215, -2*h + 190 = 5*u - h. Suppose 3*n = z + u, 3*z - 2*z - 17 = -n. Calculate the smallest common multiple of 3*8/6*4 and n.
112
Let a = -449/4 - -2331/20. Let l = 83689 + -92978487/1111. Let g = l - 47629/19998. Find the common denominator of a and g.
90
Let x = -17 - -28. Let h = -5 + x. What is the smallest common multiple of h and 18?
18
Let r = 36 + -26. What is the lowest common multiple of r and (24 + -25)*1*-7?
70
Let g(l) = -l. Suppose 27 = k + 2*k. Calculate the lowest common multiple of g(-1) and k.
9
Let q = 15 - 7. Find the common denominator of 1/14 and q.
14
Suppose 3*p + 2*y = -11 + 3, -y + 3 = -2*p. Let l = -48/7 + 953/140. What is the common denominator of l and 1/(-8) - 0/p?
40
Suppose -2*a + 3 + 7 = 4*z, 4*z - a = -5. Let s = 63 - z. What is the common denominator of -17/10 and ((-124)/(-6))/(140/s)?
10
Suppose -12*v = -11*v + 2. Find the common denominator of (59/(-5))/((-14)/5) and (1 - -