
Suppose 0 = -3*f + 12, -g + 0*f = -5*f + 23. Let x = 5 + g. Suppose -4*b = -u + 6, 3*u + x*b - b + 34 = 0. What is the common denominator of -31/4 and u?
4
Suppose 2*n + 696 = i - 343, 0 = 5*n + 4*i + 2578. Let h = 2528/5 + n. Calculate the common denominator of h and 13/7.
35
Let m = 6 + -10. Let r = 96667/14 + -6902. What is the common denominator of (-101)/(-6)*(-2)/m and r?
84
Suppose -5*l - 37 + 101 = -2*r, -2*r + 4*l - 68 = 0. Let u = -268/7 - r. Let f = 742/3 - 245. Calculate the common denominator of f and u.
21
Let w = -36962/9 + 4112. Find the common denominator of 6/(-4) + 339/(-18) and w.
9
Let r = -9170899/1172 + 7825. Let l = -20511/1172 + r. Find the common denominator of 4*(-1)/(-20)*7 and l.
10
Let u be ((-149700)/(-22))/((-328)/2). Let q = -4/451 + u. Calculate the common denominator of q and -53/2.
2
Let i(v) = -v**2 + 6*v - 5. Let k be i(5). Let h = k + 28. Let t = h + -14. Calculate the smallest common multiple of t and 20.
140
Let s(l) = -3*l - 10. Let c be s(-10). Find the common denominator of 1/(-3) + (-99)/(-12) and c/(-32)*94/(-5).
12
Calculate the smallest common multiple of 3/(6/(-2))*-30 and 6.
30
Let y(t) = t - 2. Let w be y(4). Let d(l) = 3*l**3 + 6*l - 2*l - 4*l**3 - l**w. Calculate the least common multiple of d(-3) and 10.
30
Let x be 135/20*16/(-6). What is the lowest common multiple of 588/27 + (-4)/x and 22?
22
Let u(t) = 6*t - 3 - 3*t - 6 - 2*t. Let k be u(11). Suppose 0 = -o + k - 1. What is the smallest common multiple of 11 and o?
11
Let u = 0 + 4. Suppose -u*q + 4 + 4 = 0. What is the least common multiple of q and 4?
4
Let p = -2170 - -8633/4. Find the common denominator of (0 - (-14)/32)*-4 and p.
4
Let i = -9 + 21. What is the lowest common multiple of i and 14?
84
Let k be (12/10)/(3/(-15)). Let o(i) = i**2 + 4*i - 6. Calculate the smallest common multiple of 3 and o(k).
6
Suppose 3*s - 4*p - 4 = 8, 9 = 5*s - 3*p. Let v = 37/88 + -349/176. What is the common denominator of v and (-89)/4*(-2 - s)?
16
Let o = -7 - -5. Calculate the least common multiple of 8 and ((-6)/(-4))/(o/(-16)).
24
Let w(x) = -7*x - 2. Let k(h) = -29*h - 7. Let g(s) = -2*k(s) + 9*w(s). Calculate the smallest common multiple of 5 and g(-3).
55
Let y be (4/(-16))/((-3)/12). Calculate the common denominator of -59/18 and (-2150)/60*y/5.
18
Let n = 3000/11 - 23483/88. Let j = -10114 + 222451/22. What is the common denominator of j and n?
88
Suppose -16720 = -f - 4*o, 5*o - 50902 = -3*f - 763. Let h = f + -300851/18. What is the common denominator of h and -33/8?
72
Calculate the common denominator of (4 - 1) + 77/(-33) and 17/6.
6
Let a = 107 + -75. What is the least common multiple of 16 and a?
32
What is the smallest common multiple of 56/6*27/18 and 18?
126
Let j(k) = 4*k + 8. Calculate the smallest common multiple of j(0) and 8.
8
Let r(q) = -q**3 - 4*q**2 - 1. Let s be r(-2). What is the common denominator of 83/10 and s/12 - (3 + -2)?
20
Suppose -4*f + 0*f = 92. Let i = 32 + f. Calculate the lowest common multiple of i and 7.
63
Suppose -360 = v - 0*v. Let d = 3603/10 + v. What is the common denominator of -41/14 and d?
70
Let r = -30001/9 + 3328. Calculate the common denominator of r and -13/3.
9
Let j be (-271)/20 - 3/6. Let g = j + 61/4. Find the common denominator of g and -89/2.
10
Let g = 45 - 37. What is the smallest common multiple of g and 4?
8
Let u be 1/2 - (-922)/396. Let s = u + 4529/1584. Find the common denominator of s and 3 - (-1 + (-724)/(-72)).
144
Let f be (-5)/(-1*(1 - 0)). Suppose 5*r - f = 0, -p + 1 = -r - 20. Let a = 2 + 6. Calculate the smallest common multiple of a and p.
88
Let u = 181/3 - 173/6. What is the common denominator of -81/10 and u?
10
Let n = -1170 - -9313/8. Calculate the common denominator of -38/11 and n.
88
Suppose -5*z + 21 = 3*h - 4*h, 3*z = -5*h + 7. Suppose 0 = -r + z*i - 6*i + 18, 5*r + 2*i - 50 = 0. Calculate the smallest common multiple of 4 and r.
8
Find the common denominator of 105/76 and -1 + (4 - 665/110).
836
Suppose 5*t = -149 + 174. Calculate the smallest common multiple of t and 2/(-2)*(-2 - -1).
5
Let x = -16/371 + 30403/8162. Calculate the common denominator of -67/6 and x.
66
Let j = 5261/219 + -26/73. Calculate the common denominator of 75/8 and j.
24
Let k = 151 + -101. Calculate the least common multiple of 20 and k.
100
Let o = 37 - 15. Calculate the lowest common multiple of o and 2.
22
Let a = 1/400 - 5801/400. What is the common denominator of 25/6 and a?
6
What is the common denominator of -131/12 and ((-21)/(-2))/((-162)/(-42))?
36
Let y = -6 - -8. What is the smallest common multiple of y and 20?
20
Suppose 6*a + 3*a = 468. What is the least common multiple of a and 14?
364
Suppose 0 = -n - 0*n - 7. Find the common denominator of (-76)/(-66) - 4/12 and (-2)/n - (-52)/7.
77
Let i be ((-2)/4)/((-2)/(-28)). Let g = i + 8. What is the lowest common multiple of (-64)/(-6) - (-1)/3 and g?
11
Let i be (2 - (-160)/(-79))/107. Let q = i + -515597/152154. What is the common denominator of q and -51/8?
72
Suppose 5*n = 18 + 22. Suppose -1 = -3*k + n. What is the least common multiple of k and 1?
3
Let u be 0/(-5) + 10/2. Let w = u + 11. Calculate the least common multiple of 20 and w.
80
Let u be (-3)/(-12) - (-1078)/8. Find the common denominator of (10/u)/(12/657) and -77/6.
18
Let z = -5899/4304 - 18/269. Find the common denominator of z and ((-2)/6)/((-8)/(-306)).
16
Suppose -h - 2*g = -0*h - 1699, 0 = -4*h - 4*g + 6784. Let i = 3321/2 - h. Let w = 125/3 + -227/6. Calculate the common denominator of i and w.
6
Let d(s) = -49*s - 3. Let w be d(6). Calculate the common denominator of w/(-14) - (-2)/7 and -35/12.
12
Calculate the lowest common multiple of 2 and (-213)/(-18) - (-1)/6.
12
Let s be (4/(-10))/((-1)/(-5)). Let a be 1*(-18)/(-3)*-1. Find the common denominator of -68/3 and (-17*s/a)/(-1).
3
Let m = 1859/4 + -467. What is the common denominator of m and -69/2?
4
Suppose 0 = -5*f + 5*g + 2 + 18, 0 = -f - g - 4. Suppose f = -0*l + 5*l + 3275. What is the common denominator of 63/2 and l/(-60)*(0 + 1)?
12
Let z = -20 + 12. Calculate the common denominator of (-71)/(-20) + -1 + 2 and 2 - (-9)/z - 0.
40
Let a = 4489/15 - 1393/5. Find the common denominator of 47/21 and a.
21
Suppose -i - 30 = -4*i. Let m(q) = -q**3 + 4*q**2 - 4*q + 4. Calculate the lowest common multiple of i and m(3).
10
Let n(g) = -g**3 + 2*g**2 - 1. Let o be n(3). Let v = o - -18. Let r(s) = s**3 - 5*s**2 + 2*s + 1. Calculate the least common multiple of v and r(5).
88
Suppose -5*r + 0*r + 16 = z, -28 = -5*r + 2*z. Suppose -3*s - 13 = -2*s - r*h, 4*s = 3*h. What is the common denominator of 117/10 and ((-83)/(-12))/(4/s)?
80
Let k be 2/(-5) + (-39)/15. Let b = 3 + 6. What is the least common multiple of 7/2 + k/6 and b?
9
Let t = 5 - -5. Let p be -1*16/(-5 - -3). What is the smallest common multiple of t and 2/(2 + (-14)/p)?
40
Calculate the common denominator of ((-12)/(-160))/((-6)/(-275)) and 63/4.
16
Calculate the smallest common multiple of 9 and (1 - 3)/(-1 - 1).
9
Calculate the common denominator of ((-184)/64)/((-2)/(-4)) and -8/5.
20
Suppose 4*a - 25 = -1. Calculate the least common multiple of 14 and a.
42
Suppose 1346 + 1164 = 5*d. Find the common denominator of -7/26 and 6/(-15) - d/(-80).
104
Let p(r) = -r**2 + 4*r + 3. Let y(a) = 4*a - 2. Calculate the least common multiple of y(1) and p(4).
6
Let k = -6/2051 + 182575/12306. Find the common denominator of (71/27)/((3/9)/(-1)) and k.
18
Let q be 1 + 2 + (-2 - -2). Suppose -j = q*j - 44. Calculate the smallest common multiple of 1 and j.
11
What is the common denominator of (21/(-15) + 1)/(24/1010) and -1 - (2 - 81/(-6))?
6
Let l(t) = -t + 10. Let r be l(0). Suppose -2*g = -2*m + 20, 2*g - g - 2*m = -r. What is the smallest common multiple of 2 and (8/g)/((-2)/5)?
2
Suppose 5*s + 16 = -5*b + 101, 2*s = -5*b + 79. Let n = 21 - b. Calculate the common denominator of 4/(-12)*99/n and -38/9.
18
Let f = -2/413 + 10337/2478. Find the common denominator of ((-124)/(-6))/(10/6) and f.
30
Suppose -2*c = 2*c - 20. Suppose c*b - 27 = 63. What is the least common multiple of 20 and b?
180
Let c = 21/310 - 8986/1085. Find the common denominator of -71/14 and c.
14
Suppose 5*y = -j + 50, 6*y + 3*j - 40 = 2*y. Calculate the least common