f + 0*f = -5*q + 120, 80 = 4*q + 4*f. Suppose 2*c = 5*c - 24. Suppose c - q = -d. What is the least common multiple of d and 14?
14
Let g = 2/97 - -14029/1746. Calculate the common denominator of g and (-925)/50 + 5 + -2.
18
Calculate the common denominator of 11484/(-2992) + 1*3 and 43/12.
204
Let i be -6*4/(3 - 1). Let x be (-4 + 1)*(-6)/9. What is the least common multiple of -12*((-15)/i - x) and 7?
63
Let z = -19 + 24. Calculate the lowest common multiple of z and 11.
55
Suppose -5*l + 0 = -15. Suppose -2 = 5*v + l. What is the common denominator of 4/3 and (-1 - v) + (-111)/21?
21
Let w be (-3)/1*(-9 - -8). What is the least common multiple of 12 and (9/w)/(-1) - -17?
84
Let q = -9177/712 + 246/89. What is the common denominator of (-5)/(-20)*(-3)/2 and q?
8
Let h(d) = 7*d**2 - 4*d + 8. Let i be h(-8). Calculate the common denominator of 65/14 and i/64 - 0/1.
56
Suppose 9*k - 6*k = 12. Let u = -5 - -8. Suppose 4*g = 5*x + 36, 0 = u*g - 5*g + 5*x + 18. Calculate the least common multiple of k and g.
36
Let u = 0 + 17. Calculate the lowest common multiple of u and 6.
102
Suppose -4*c + 17 = 1. Let z = 0 + 0. Let d = z + c. Calculate the least common multiple of d and 2.
4
Let n(i) = i**2 - 6*i - 5. Let t be n(6). Calculate the common denominator of ((-16)/(-30))/(1/t) and -31/7.
21
Let d(y) = -3*y - 9. Calculate the smallest common multiple of 21 and d(-12).
189
Suppose -n + 18 - 1 = 0. What is the common denominator of ((-103)/2)/(6 - n) and -131/18?
198
What is the smallest common multiple of 16 and (-8)/((-6)/(-6))*(-1 - 1)?
16
Let r be ((-2)/5)/(1/(-50)). Suppose -4*s + 12 = -52. Suppose 4*g - s = x + 76, 5*x = -r. What is the smallest common multiple of g and 2?
22
Let s = 2670838 + -224334401/84. Let p = s - 1290/7. Find the common denominator of 404/(-8)*(1 - 0) and p.
12
Let z = -2209 + 19918/9. Calculate the common denominator of z and (2 - 21/15) + 1905/200.
72
Suppose 5*i + 0 = 20. Suppose g + 50 = -5*y, -4 = -y + i*g + 7. Calculate the least common multiple of (1 - -1) + (-108)/y and 2.
14
Let t = 135 + -47. Let i = t - 46. Calculate the smallest common multiple of i and 18.
126
Let v = 4963 - 327551/66. What is the common denominator of v and 67/8?
264
Suppose -11 = -3*l + 1. Calculate the smallest common multiple of 20 and l.
20
Let a(z) = -z + 1. Let u be a(9). What is the smallest common multiple of (-2)/(-8) - 38/u and 9?
45
Let w = -5651/234 + 228/13. What is the common denominator of ((-17)/(-12) - 0) + 1 and w?
36
Suppose 20 = -2*v - 3*v. Let a(t) = -2*t - 6. Let s be a(v). Suppose -s*q = -q - 1. What is the least common multiple of 8 and q?
8
Suppose 2*f - i = -1 + 6, 7 = 3*f - i. Suppose -2*t = 5*r + t - 45, -5*t - 1 = f*r. Calculate the lowest common multiple of r and 10.
60
What is the common denominator of ((-1)/(-24))/((-3)/(-4)) and (41/8)/((-6)/(-8))?
18
Suppose -5*n - o = -6*o, 4*n = 3*o. Suppose n = 3*h + 2*h + 40. Let i(b) = 2*b**2 + 12*b + 11. What is the common denominator of -69/10 and i(h)?
10
Suppose -a + 6*a - 4*h - 35 = 0, 0 = a + 3*h - 7. What is the lowest common multiple of 52 and a?
364
Let v = 88 - 53. Let y = -36/7 - -179/28. Calculate the common denominator of 2/(-8) + 224/v and y.
20
Suppose 2*y = l + 2, 0 = -y - 0*y + 4. Suppose 2*u - 8 = l*r - r, -u = -r - 4. What is the least common multiple of 0*(-1)/(-3) + 8 and u?
8
Let s = 80495/6376 - -1/3188. What is the common denominator of s and 40/11?
88
Let k = -2 - -7. Suppose -k*p + 9 = -6. Suppose -5*v + 5*u + 19 = -21, -p*v = -5*u - 16. Calculate the smallest common multiple of v and 12.
12
What is the smallest common multiple of 11 and (-55)/(-20)*4/1?
11
Let m = -125/2 - -61. Find the common denominator of m and -13/22.
22
Suppose 0 = -0*c + c. Suppose -2*d - 4 = -c. Calculate the lowest common multiple of d/(-6) - 58/(-6) and 18.
90
Suppose 2*m - 7*m + 60 = 0. Calculate the least common multiple of m and 30.
60
Let z = -2607 + 15535/6. Let k be (14/(-3))/((-8)/(-2694)). Let r = 1521 + k. Find the common denominator of z and r.
6
Let s(o) = 20*o**2 + 2*o - 2. Calculate the least common multiple of 14 and s(1).
140
Let z(l) = l**2 - 7*l + 12. Let r = 8 - 1. Calculate the lowest common multiple of 2 and z(r).
12
Suppose -3*f + 53 + 97 = 0. Suppose -2*r - 5*y = -7*r + f, 58 = 3*r + 4*y. What is the smallest common multiple of 20 and r?
140
Let y(a) = -a**2 - 8*a - 10. Let c be y(-7). Let z be 270382/(-24) - (c - -4). Let t = -11274 - z. Calculate the common denominator of -57/4 and t.
12
Let f = -22 - -11. Find the common denominator of -5 and f.
1
Let g = -547805233/132 + 4150013. Let k = 46/33 + g. Find the common denominator of 11/2 and k.
4
Suppose -17*b = -19*b + 22. Calculate the least common multiple of b and 6.
66
Let s be (146/(-4))/(-55 - 8). Let a = -40/63 - s. Calculate the common denominator of (-2)/9 + (-3052)/(-288) and a.
56
Let y = 419269 - 3341773/8. Let u = 1562 - y. Let p = -291/8 + u. Find the common denominator of -13/12 and p.
12
Calculate the common denominator of (-1 + 4)/(25 + -17) and 2/(-8) + (-102)/20.
40
Suppose 5*l = 93 - 18. What is the lowest common multiple of 3 and l?
15
Let o = -7/96 + -2015/672. Calculate the common denominator of (9/(-2))/((-24)/(-27)) and o.
112
Let q = 35 + -11. Suppose -3*z + x - q = -4*z, -z = 2*x - 26. What is the smallest common multiple of 22 and z?
22
Let k = 6472/9 + -714. Calculate the common denominator of k and 42/11.
99
Let f be (-9)/7 - (-4)/14. Let v be (0*(-2)/(-4))/f. Suppose 0 = -v*q - 5*q + 40. What is the lowest common multiple of q and 16?
16
Find the common denominator of 2/(-2*4) + 732/(-240) and 77/12.
60
Suppose -5*h + 15 = -2*h. Suppose -h*a + 17 + 28 = 0. Calculate the smallest common multiple of a and 19.
171
Let c(u) = -u + 10. Let f be c(5). Suppose f*r = -1 + 11. Let a(w) = -2*w**3 - w - 1. Calculate the lowest common multiple of a(-1) and r.
2
What is the common denominator of 75/14 and 85*(-3 + (-220)/(-72))?
126
Suppose 275 = -4*w + 3807. Let j = w - 1429. What is the common denominator of 46/7 and j/(-54)*(-3)/(-2)?
42
Calculate the common denominator of 14 and (-6)/(-12)*(-17)/(-3).
6
Find the common denominator of (15/10)/((-30)/26) and 97/16.
80
Let c = -1 + 101. What is the smallest common multiple of c and 6?
300
Let s = 5026 - 3390. Let n = -6451/4 + s. What is the common denominator of n and -58/9?
36
Calculate the common denominator of -26 and 3/(-12) - 149/20.
10
What is the common denominator of 33/8 and 2/220*555/6?
88
Let l = -22022 - -440539/20. Calculate the common denominator of -29/14 and l.
140
Let a = 9543/5131 - 2/733. What is the common denominator of a and -16/3?
21
Suppose 0 = 4*u - u - 9. Calculate the common denominator of 55/12 and (-38)/20 - (u + -5).
60
Suppose 1 = -2*j + 3*k, 5*k - 32 = -j - 13. What is the smallest common multiple of 10 and j?
20
Let s be ((-15)/3 - 2)*3. Find the common denominator of 55/14 and (s/1)/(16/(-12)).
28
Let u = -1/2774 - 106797/5548. Calculate the common denominator of 20/9 and u.
36
Let x = -185371/18 - -10295. Find the common denominator of 87/2 and x.
18
Suppose -z - 4*v = -2*v - 10, z + 5*v - 19 = 0. Suppose -1198 = 2*l - 7*l - u, z*l = u + 962. Find the common denominator of ((-355)/l)/(2/6) and 105/22.
176
Calculate the smallest common multiple of -3*5/(15/(-11)) and 6.
66
Suppose 0 = -m - t + 1404, -2*m + 4*t = 2*m - 5648. Let h = 4183/3 - m. What is the common denominator of h and -65/2?
6
Find the common denominator of 13949/1110 + (-1)/5*2 and 23/74.
222
Let g = -8/375 - 24311/3000. Let m = 17/24 + -17/8. Find the common denominator of m and g.
24
Suppose -m - 23 = -4*i, -35 = -4*i + 2*m + 3*m. Suppose -3*d + 2*d + 7 = 4*z, i*z - 11 = d. Calculate the smallest common multiple of z and (4 - -2 - 2)*4.
16
Let w = -8 - -12. Suppose 0 = 8*z - w*z - 22204. What is the common denominator of 97/6 and z/294 + (-2)/(-7)?
6
What is the common denominator of 14/(-77) - (-2 - (-1710)/33) and 19/71?
71
Let p(i) = i. Let v(k) = -7*k. Let w(g) = -g. Let l(u) = v(u) - 4*w(u). Let n(y) = 4*l(y) + 11*p(y). What is the smallest common multiple of n(-6) and 4?
12
Let k = -5648/545 + -4/109. Calculate the common denominator of -41/10 and k.
10
Let o(p) = -p**3 + 13*p**2 + 5*p - 21. Calculate the lowest c