. Let d = 31912/1473 - m. What is the common denominator of d and 29/8?
24
Suppose 3*x = -2*q + 35 - 11, -4*x = -q + 34. What is the smallest common multiple of q and 4?
36
Suppose 0 = 7*a - 3*a - 100. Suppose 5*g + 0*g = a. Calculate the lowest common multiple of 1 and g.
5
Suppose 0 = -2*v + 8, -2*v + 21 = h + 2*v. Suppose 0 = h*m - 0 - 10. What is the least common multiple of 14 and m?
14
Find the common denominator of (-1294)/252 + (0 - (-1)/(-7)) and 4/15.
90
Suppose -k + 10 = -8. Let r be 2/(((-32)/12)/(-4)). Suppose n + r = 7. What is the least common multiple of k and n?
36
Suppose 25 = -5*i, -5 = 2*z + 3*z + 5*i. Let p = -2 + z. Suppose 2*b - 4 = -0*b. What is the lowest common multiple of p and b?
2
Suppose 0 = -w + 1 + 7. Calculate the smallest common multiple of 5 and w.
40
Suppose 2*n + 0 + 2 = -2*a, -2*a = 3*n - 2. Calculate the common denominator of 43/6 and n/(-6) + 345/54.
18
Let s be 0 + 69/34 + 2. Let p = s - -312/85. What is the common denominator of (14/(-616))/((-2)/(-332)) and p?
110
Let m = 7592869/24 + -971474/3. Let n = 7446 + m. What is the common denominator of -53/10 and n?
40
Let k(c) = -6*c**3 - 2*c**2 - c - 1. Let j(r) = 11*r**3 + 5*r**2 + 2*r + 3. Let b(g) = -2*j(g) - 5*k(g). Calculate the smallest common multiple of 14 and b(1).
56
Let x = 87 - 86. Let o(d) = -d**2 + 6*d + 3. What is the smallest common multiple of x and o(6)?
3
What is the common denominator of ((-2)/(-44))/(2/(-142)) and ((-3)/12)/((-6)/(-262))?
132
Let b = 2/45 - -1117/180. Suppose 5*o - 4*a = -56, -3*o + 8 = -2*o + 4*a. Calculate the common denominator of b and o.
4
Let d(w) be the third derivative of 0*w - 2*w**2 - 1/120*w**6 + 0 + 10/3*w**3 + 0*w**4 + 1/60*w**5. Calculate the smallest common multiple of 4 and d(0).
20
Let c = -3068 - -1615. Let g = -15971/11 - c. Find the common denominator of g and -71/8.
88
Suppose o = 6 - 3. What is the smallest common multiple of 4 and o?
12
Let d(p) = -2*p - 4. Let h be d(4). Let b = h - 6. Calculate the smallest common multiple of (-4)/b - (-104)/18 and 6.
6
Let i = -20 + 29. What is the lowest common multiple of 12 + ((-1)/3)/(1/6) and i?
90
Let r = 29927/10 + -2986. What is the common denominator of r and 7/12?
60
What is the common denominator of ((-1)/(-40))/(4/(-870)) and 5/18?
144
Let o be (-2 + 2)*4/(-4). What is the common denominator of o + 33/10 + 0 and 14/3?
30
Let z = 25 + -17. Calculate the least common multiple of 4 and z.
8
Let h = 2747884/255 + -10776. Let y = 16081/1020 - h. Find the common denominator of ((-231)/(-12))/(2*1) and y.
8
Let h(a) = 267*a. Let y be h(1). What is the common denominator of 89/16 and 1 - (y/(-12) - 1)?
16
Let l(z) = z**2 - 6*z - 8. Let q be l(6). What is the smallest common multiple of 0/2 + 1 + 1 and (-40)/(-6) + q/12?
6
Find the common denominator of -35/18 and 13/78*46/(-3).
18
Calculate the common denominator of (-4)/(-180)*(-798)/(-4) and 97/16.
240
Suppose 5*j - 20 = j. Suppose 2*x - j*x + 12 = 0. Calculate the lowest common multiple of x and 22.
44
Let o = 4457/30 + -757/5. Find the common denominator of o and 133/12.
12
Let v = 12 - 32. Find the common denominator of ((-3)/v)/(6/316) and -27/4.
20
Suppose -161 = 3*l - 41. Suppose 3*j + 352 - 127 = 0. Let b = l - j. What is the common denominator of b and -38/9?
9
Let s(t) = -6*t**2 - 5*t - 2. Let x be s(11). Find the common denominator of 17/10 and x/136 - 2/17.
40
Let t = -11 + 14. Let z(g) = 2*g + 4. What is the least common multiple of z(t) and (10/(-4))/(2/(-8))?
10
Let f = -13 - -33. Calculate the least common multiple of f and 14.
140
Suppose 4*u = -q + 4*q + 20, -3*u = 2*q - 15. Suppose 2*f = u*f - 24. What is the lowest common multiple of f and 10?
40
Let c be (30/(-9))/(2/(-3)). Suppose 0*d + 50 = c*s - 5*d, 4 = -d. Calculate the least common multiple of 3 and s.
6
Let r(y) = -y**2 + 5*y. Let o be r(4). Suppose -j + f + 4*f = -32, o*f + 30 = j. Calculate the smallest common multiple of 6 and j.
66
What is the least common multiple of (-2)/(-1)*(-8 + 9) and (-3)/15 - 31/(-5)?
6
What is the lowest common multiple of 12/8 - (-1)/2 and 2?
2
Suppose 4*w - 3 = -v - 2, 3*w - 4*v + 4 = 0. Suppose -2*q + 3*q + 42 = w. Let t = -20 - q. Calculate the least common multiple of 20 and t.
220
Let u(h) = -h + 12. Let l be u(12). Suppose v - 7 - 15 = l. Calculate the least common multiple of 2 and v.
22
Let q(x) = -x**3 + 7*x**2 - 4*x - 4. Let n = 17 + 1. Calculate the lowest common multiple of n and q(6).
72
Let z = 5819/166 - 46/83. Let u = 103493/12 - 8618. What is the common denominator of z and u?
12
Let m(z) = -z - 7. Let j be m(-7). Let x be (j - 0 - 1)*1. What is the common denominator of -57/22 and -49*1*x/6?
66
Find the common denominator of (-284)/32 + -3 + 1 and 5/55 + (-3)/6.
88
Suppose 4*d - 40 = -0*d. Suppose 0 = u + 41 - 44. Calculate the lowest common multiple of u and d.
30
Suppose 2*d + 8 = b, -4*d + 0*d + 20 = 0. What is the smallest common multiple of 6 and b?
18
Suppose 0*t + 2*t + 18794 = -5*z, 37576 = -4*t - 4*z. Let l = t - 245. Let o = l + 135007/14. Find the common denominator of -69/10 and o.
70
Let q(b) = -b**3 + 20*b**2 - 18*b - 13. What is the lowest common multiple of 5 and q(19)?
30
Let o be (30/8)/((-4)/(-16)). Let q = o - 8. What is the smallest common multiple of 9 and (0 + q + -2)/1?
45
Let h = -2255 - -17957/8. Calculate the common denominator of h and -9/16.
16
Let x(y) = 3 - 4*y - 6 + y - y**2 + 11*y. Let a be x(7). Suppose a*c - 57 + 13 = 0. Calculate the lowest common multiple of c and 2.
22
Let d be (52/(-6))/((-2)/3). Suppose d = -3*m + 64. Let v = 28 - m. What is the least common multiple of v and 6?
66
What is the common denominator of ((-377)/26)/(16/(-2)) and 95/12?
48
Let m = 1 + 1. What is the least common multiple of 2 and m?
2
Suppose 25*t - 15 = 22*t. Calculate the lowest common multiple of t and (-84)/(-8) - 2/(-4).
55
Let h be (9/(-3468))/(2/(-48)). Let o = 6467/2890 + h. Calculate the common denominator of 23/22 + -1 + -2 and o.
110
Let a be 2 + (-1 + 2 - -187). Suppose -2*t = -2*g - 0*t + 2, 3*g + 5*t = 11. What is the least common multiple of (-6)/10 - a/(-25) and g?
14
Suppose 0 = 3*k - k. Suppose w + k*w = -6. Let z = 11 + w. What is the lowest common multiple of z and 5?
5
Let c(k) = -7*k + 1. Let m(v) = v**3 + 3*v**2 + 3*v + 1. Let q be m(-2). What is the smallest common multiple of 6 and c(q)?
24
Let u = 18887/3284 - 1/821. What is the common denominator of u and 69/26?
52
Let s = 19/72 + -98/9. Find the common denominator of s and 143/18.
72
Let g = -33 - 21. Find the common denominator of 41/20 and (-183)/g - 10/45.
60
Suppose -3*c + 14 = -7. Suppose c = -0*j + 4*j - s, 3*j = -s + 14. Let x = j + 9. What is the lowest common multiple of 18 and x?
36
Let c = 1 - -5. What is the common denominator of ((-603)/c)/(-31 + 1) and -145/18?
180
Calculate the common denominator of 39/2 and 1 - 50/4 - 2.
2
Let r(i) = -i**2 + 4*i + 1. Let f be r(2). Suppose -d = -f*m - 37, m = -3*d - 2*d + 55. What is the lowest common multiple of 30/4*(-8)/(-10) and d?
12
Let m(w) = w**2 - 6*w - 5. Let h be m(7). Suppose h*q - 22 = -3*k, 4*k = 3*q - 2*q + 22. What is the lowest common multiple of k and 11?
66
Let k = -34 + 18. Find the common denominator of 71/14 and ((-2)/k)/(20/(-632)).
140
Let m be (-1)/(-2)*0/1. Suppose m = 4*x - 5*x + 12. Calculate the least common multiple of (-1)/(-1) - (-24)/8 and x.
12
Let g = -558/11 + 2171/66. Calculate the common denominator of g and ((-2)/6)/((-2)/23).
6
Let u be 5*(3 - (-52)/(-20)). Find the common denominator of 45/8 and (-56)/(-48) + u/6.
8
Let g be ((-157)/2 - 1)*2. Let y = -232726/225 + 21864/25. Let p = y - g. What is the common denominator of p and -53/5?
45
Suppose 5 = 7*l - 2*l. Suppose 0*f = 3*f + 12. What is the smallest common multiple of ((-22)/f)/((-4)/(-8)) and l?
11
Suppose -m - 1 + 3 = 0, -2*v = 5*m - 28. What is the smallest common multiple of v and 36?
36
Let h = -3/38000569 - -7045343493283/1444021622. Let t = h + -6457579/304. Let x = t + 16358. What is the common denominator of x and -99/8?
16
Let v(h) = -3*h - 3. Let x be v(-2). Suppose x*l - 8 - 1 = 4*u, -3*u + 2*l - 6 = 0. Find the common denominator of 5/2 and u.
2
Suppose 5*q = -3*k + 3, -3*k + 3 = -3*q - 0*q. Calculate the least common mult