t common multiple of 10 and n.
80
Suppose 0 = 3*c + l - 0*l + 10, -5*c = -l + 22. Let i = 14 + c. Suppose -2*a + 3*k = -i, -a + 5 = -k - 2. Calculate the least common multiple of a and 2.
22
Let z be 553*30/288*13*-15. Let d = 11238 + z. Find the common denominator of 43/34 and d.
272
Suppose 81*s - 1097 = 685. Suppose -3*k + z = -7, -z + 4*z - 3 = 3*k. Calculate the smallest common multiple of k and s.
44
Let u(g) = g + 2. Let x be u(0). Suppose 3*t - 34 = -4*z - z, -x*t = 4. Calculate the smallest common multiple of 22 and z.
88
Suppose -4*n = 30 + 6. Let z = -11 + n. What is the common denominator of ((-214)/z)/(-2 - 0) and 81/10?
20
Suppose 4*v + 84 = 4*b, 31 = 4*b - v - 38. Suppose 215 = -3*p + 8*p. Suppose p + 5 = 4*u. Calculate the least common multiple of u and b.
48
Suppose 2*v + 0*v - 14 = 2*b, 0 = -4*b + v - 16. Let h = 5811/10 - 584. Find the common denominator of ((-2)/b)/((-60)/189) and h.
10
Let y(k) = k + 2. Let s be y(-1). What is the least common multiple of -1 - (1 - s - 15) and 10?
70
Let o be (2 + (-3264)/1629)*6709/(-6). Let r = o - 4/543. What is the common denominator of 29/2 and r?
18
Let a = 22 + -42. Let y be 1/(3 - a/(-6)). Calculate the common denominator of (-470)/(-12) + (-1)/y and -51/11.
22
What is the common denominator of (940/(-70))/(0 - 88/14) and 17/72?
792
Let i = -313 - -319. What is the lowest common multiple of i and 9?
18
Let c = -311 + 343. Suppose -x - 4*h - 42 = -0*x, 4*x + 3*h + 103 = 0. Let y = c + x. What is the lowest common multiple of y and 1?
10
Let c = -1521443/30 - -50720. Calculate the common denominator of c and -117/20.
60
Suppose 2*p = -x + 54, -5*p + x = -128 - 0. Let k = p + -25. Let h(l) = l**2 - l - 2. Calculate the smallest common multiple of h(4) and k.
10
Suppose -216*j + 219*j = 30. Let d = 7 + 0. What is the least common multiple of j and d?
70
Let r(f) = -f**3 - 8*f**2 - 2*f - 9. Let v be r(-8). Let p = 14 - v. Let y(z) = 2*z**2 - 2*z + 3. Calculate the least common multiple of p and y(0).
21
Let t = 167/14 + 11/7. Let a = -83 - -84. Calculate the common denominator of t and 4 + -1 + (5/a)/110.
22
Suppose 7 = -4*x - 5. Let q be (-1095)/(-183) + x - 2. Let m = 5533/1098 - q. What is the common denominator of m and -45/46?
414
Suppose -2*r + y + 3*y = 12722, 3*r = -2*y - 19099. Let k = 127357/20 + r. Calculate the common denominator of 41/16 and k.
80
Suppose -2*g - 12 = -5*g. Calculate the smallest common multiple of (-23)/(-4) - g/(-16) and 4.
12
Let l(p) = -9*p**2 + 934*p + 244. What is the lowest common multiple of l(104) and (-4)/1*1/(-2)?
36
Let s be 3*2/(12/46). Calculate the common denominator of -93/14 and s/18*3 - -1.
42
Calculate the least common multiple of 309/2 - ((-1)/(-2) + -2) and 12.
156
Suppose o = 2 - 1. Let t be 3 + -1 + (-1 - o). Suppose 3*q + t*q = 66. What is the least common multiple of q and 14?
154
Let a be (184205/(-6))/7 - 1. Let m = -4364 - a. Calculate the common denominator of (-492)/(-54)*(10/(-4))/5 and m.
18
Let u = 990 + -4963/5. What is the common denominator of u and -11/80?
80
Let h(w) = -w**3 - 3*w**2 - 6*w + 3. Let q be h(-3). Suppose -p = -8*p + q. Calculate the lowest common multiple of p and 17.
51
Suppose 0 = -5*m + 43*r - 45*r - 182, -3*r - 102 = 3*m. Find the common denominator of m and 2/8 + 44/(-6).
12
Let r be ((-68)/(-6))/((-2120)/498). Let n = 107204 + -5681492/53. Let c = n - r. Find the common denominator of -95/8 and c.
40
Calculate the lowest common multiple of (-7931)/(-77) - (1 + 2) and 90.
900
Let w(r) = -3*r**2 - 15*r + 2. Let g be w(-6). What is the lowest common multiple of 15 and (-1)/(-4) - (-5 + (-68)/g)?
15
Calculate the common denominator of -1/422 and (-9)/5 - 1369/740.
4220
Let t be 0*(4 - 5) - -5. Suppose 0 = -5*x - 4*u, 2*u + u - 5 = -t*x. Calculate the lowest common multiple of x and 100.
100
Let k(n) = -n. Let s be k(-3). Let z(g) = 11*g**s - 1 + 0*g**2 - 10*g**3 - g**2 - g. What is the smallest common multiple of z(3) and 12?
84
Let r = 88 + -123. What is the common denominator of r and 64/55?
55
Let r be -14*2/(-4)*(0 - 3). Calculate the common denominator of 6/r*(-1876)/80 and 25/2.
10
Find the common denominator of 76/21 and (6 - 7)/(165/367) - -2.
1155
Let o = -621537 - -42265641/68. Let m = -90/17 + o. What is the common denominator of m and -101/8?
8
Let o(k) = k**2 - 7*k + 12. Let z be o(5). Suppose 0*l = -3*l + 6, -3*l - 34 = -z*x. What is the lowest common multiple of 12 and x?
60
Let p = 2625/8 + -65497/200. Calculate the common denominator of p and -58/9.
225
Let m = 7586 + -166843/22. Let a = -416431523/16 + 26016322. Let j = -10654 - a. Calculate the common denominator of m and j.
176
Suppose 0 = 13*c + 32502 - 3642. Let h = 26623/12 + c. Calculate the common denominator of h and -51/16.
48
Let p = 12903 + -12891. Suppose c = -c + 88. What is the lowest common multiple of p and c?
132
Suppose 5*f = -f + 816. Suppose -s + 2*k = f, -s - 416 = 2*s - 4*k. Calculate the common denominator of (-3)/s*25*9 and -5/2.
16
Let f = 17034 - 562171/33. What is the common denominator of f and -4/45?
495
Find the common denominator of 107/12 and 7 + (1 - 190/6).
12
Suppose 0 = -59*n + 62*n - 9. Suppose n*f + 16 = 5*f. What is the lowest common multiple of f and 26?
104
Suppose 5*y - 154 = -2*p, -30*p = -26*p - 28. Let u(l) = -l**3 - 3*l**2 + 6*l. Calculate the smallest common multiple of y and u(-5).
140
Find the common denominator of 83/6 and 2/8*200/580.
174
Let u = -71 - -96. Calculate the least common multiple of u and 55.
275
Suppose -2 = 8*p - 114. What is the least common multiple of 2 and p?
14
Let z(j) = 22*j - 46. Calculate the smallest common multiple of z(5) and 40.
320
Let s = 204 + -200. Let t = 80 + -56. Suppose 3*l - t = l. Calculate the smallest common multiple of s and l.
12
Let x be 5/2 - 6/4. Suppose -t = -4*q + 16 - x, 0 = 4*q - 3*t - 5. Let o(s) = -s + 6. Calculate the lowest common multiple of o(q) and 1.
1
Let p be (-4)/(-30)*(-260395)/(-19). Let k = p + -109307/60. Find the common denominator of -93/8 and k.
40
Suppose 11*s - 6 = 14*s. Calculate the common denominator of -133/18 and s/(-4)*4/32*-49.
144
Suppose 2*t - 9*t - 105 = 0. What is the common denominator of -26*t/(-864)*-3 and 41/16?
48
Let g be 174/34 + (-4)/34. Find the common denominator of -15/2 and (g/(-15)*-1)/((-5)/(-63)).
10
What is the common denominator of 1*5 + (21/3 - 43) and 25/39?
39
Let h = -30063/14 + 2149. Let n be (4/(-6))/((-8)/48). Find the common denominator of h and -7 + n - 290/(-52).
182
Let g = -392974 - -119464203/304. Calculate the common denominator of 157/228 and g.
912
Suppose 2*t = 3*t - 4*w - 128, -4*t - 3*w = -493. Let j = -225 + t. Find the common denominator of -31/4 and 57/(-190)*j/(-3).
20
Let g = 650/9 - 788/9. Find the common denominator of -59/3 and g.
3
Calculate the common denominator of 127/66 and (1 - 0)/(-16 + 1 - -6).
198
Let o(u) = -4*u**3 - 5*u**2 + 3*u - 6. Calculate the lowest common multiple of 32 and o(-3).
96
Let c be (1 + -5 - 0/(-3)) + 130. Calculate the common denominator of 5/6 and (-127)/c + 18/63.
18
Let u(g) = -7*g + 102. Calculate the smallest common multiple of 38 and u(12).
342
Suppose 5*k = 3*r + 124 + 48, 2*r - 88 = -3*k. Suppose -40 = -5*u + 5*y, -4*u = -y + 5*y - k. What is the lowest common multiple of 20 and u?
40
Let n = 12496 - 1012157/81. What is the common denominator of n and -14/447?
12069
Let h(o) = 4*o**3 - 3*o**2 + 2. Suppose -3*i + 5 = -1. Suppose -z - 2*r + 0*r + 24 = 0, -4*r + 12 = 0. Calculate the smallest common multiple of h(i) and z.
198
Let p = 406 - 4867/12. Find the common denominator of p and -125/54.
108
Let u = 1281 - 5209/4. Suppose -4*n + 2*f = 0, -5*f + 3*f - 3 = -n. Find the common denominator of u and n + (91/(-8) - -1).
8
Suppose 42 = 5*v - i, -i = 3*v - 29 + 7. Let w = -6 + v. Suppose -2*f - 6 = -5*f - r, f = -w*r + 2. What is the least common multiple of f and 14?
14
Suppose 0 = 2*p - p + 1. Let s be 4/(p + -3 + 3). Find the common denominator of (-123)/s*6/(-45) and 6/11.
110
Suppose -4*s - 2*w = -2, 3*s - 7*s + 12 = 4*w. Suppose x - 4*c - 21 = 0, -21 = x + 4*c - 2. Calculate the least common multiple of 3 and (x/s)/(7/(-70)).
15
Suppose 2 + 0 = -k, 2*h - 5*k - 16 = 0. What is the smallest common multiple of 22 and (21 + h)