Let u = z + 2445. Find the common denominator of u and 85/14.
126
Let q = -2243/2 - -1161. Let h = -3 - 48. What is the common denominator of q and h*(1/10)/(-1)?
10
Let a = 13 - 19. Let v = 2 - a. Suppose 0 = -2*s + 2*g + 8, 0 = -3*s + 5*s + 3*g - 18. What is the smallest common multiple of s and v?
24
Suppose -t - 1 = 0, -3*k + 4*k - 2 = -3*t. Let s = -1 + 2. Suppose 2*r + s = 19. Calculate the least common multiple of r and k.
45
Let w = 53 - 29. Suppose -i + 2*i - 9 = 5*r, 4*r + w = 5*i. Suppose 0 = i*f + f - 50. Calculate the least common multiple of 9 and f.
90
Suppose 2*m - 2*r + 14 = 0, r = m - 3*r + 19. Let g = m - -3. Calculate the common denominator of -13/3 and g - -2 - 33/(-12).
12
Calculate the common denominator of 16/8 - 186/(-27)*3 and (8/(-14))/((-2)/25).
21
Let a be ((-381)/2)/((-12)/(-16)). Let y = 5735 - 103301/18. What is the common denominator of y and (-4)/(-24)*a/2?
18
Suppose -3*b + 0*b - 3 = 0. Let c = 7 - b. Calculate the smallest common multiple of c and (-12)/72 + 86/12.
56
Let j = 19590 + -216272/11. Let w = 7303/110 + j. Calculate the common denominator of (2/8)/(21/12) and w.
70
Suppose -d - 111 = -4*g, 5*g - 2*d - 44 = 94. Suppose -4*w = 2*y + 120, 3*y + g = -w - 2. What is the common denominator of -41/5 and w?
5
Let z = 354415898107/222750450 - 6719306/4225. Let p = -3/2929 - z. What is the common denominator of 107/18 and p?
18
Suppose -4*a + 706 + 674 = 0. Let i = -3154/9 + a. Suppose 4*f + 3*m + 204 = 0, -52 = -2*f + 3*f + m. Find the common denominator of i and f.
9
Suppose 5 = 3*b - 4. What is the least common multiple of b and 4?
12
Let b be (-2)/(-3) - (-520)/(-735). Let w = b - -708/539. Let c = 111/44 - w. Find the common denominator of c and 53/11.
44
Calculate the common denominator of -45 and ((27/(-6))/3)/(6/(-3)).
4
Let x = -32701/5502 + 62/393. Calculate the common denominator of -77/2 and x.
14
Let m(p) = -p**2 + 4*p + 1. What is the smallest common multiple of m(4) and 6?
6
Let m = 9 - 4. Suppose -5*l + 0*l + m = 0. What is the least common multiple of l and -11*((-2)/(-2))/(-1)?
11
Suppose -2*x - 22 = -0*x. Let p = 21 + x. What is the smallest common multiple of p and 5?
10
Let w be 657/(-5) - (-6)/15. Let m = 16 - 10. Calculate the common denominator of 59/5 and (w/15)/(m/15).
30
Let p(w) = w**2 + 4*w - 2. Let x be p(-4). Let b = -4 - -12. What is the smallest common multiple of b and (-1)/(-2) - 27/x?
56
Let k(n) = -4*n. Suppose 2*v = 16 + 4. What is the lowest common multiple of k(-1) and v?
20
Calculate the common denominator of -81/2 and (106/(-16) + 2)/(10/12).
20
Let a(r) = -22*r. Let f(k) = -k - 1. Let j be f(4). Let v be ((-1)/2)/(j/(-10)). What is the least common multiple of 2 and a(v)?
22
Suppose 66 - 10 = 4*x. Suppose 4*r - 11 - x = -3*y, 5*y = 2*r + 7. Calculate the least common multiple of 51/6 + 1/(-2) and r.
8
Suppose -2*o - 40 = 2*o. Let j be 2/o - 82/(-10). Find the common denominator of 1/3 and (-2)/(-1)*(-65)/j.
12
Suppose s = 2*v - 3*s + 8, s - 4 = 0. Let k be 134/8*(-4 - 0). Calculate the common denominator of 85/22 and k/6 + v/6.
22
Suppose -4*q - 5475 = 345. Let m = -4318/3 - q. Find the common denominator of 10/11 and m.
33
Let w be 2/8 - (-7)/(-28). Let z = w + 10. Calculate the least common multiple of 11 and z.
110
Suppose 2 = 2*b + 3*s - 2, -b - 1 = 3*s. Suppose -40 = -b*r + r. What is the lowest common multiple of 14 and r?
70
Let i = 321 + -312. What is the least common multiple of 5*2 - (2 + 0) and i?
72
Suppose 6*t - t = 150. Suppose -4*c - t = -7*c. What is the smallest common multiple of c and 5?
10
Let p = 12 + -8. What is the smallest common multiple of p and 8?
8
Let s = -1/4075 + -171139/44825. Calculate the common denominator of -41/13 and s.
143
What is the common denominator of 27/(-60) - 1 - -4 and -77/18?
180
Let d be 1 + 0 + 0 + -12. Let j = -9 - d. What is the smallest common multiple of 4 and j?
4
Let k(r) = r**2 - r - 3. Let m be k(3). Suppose -m*l + 12 + 36 = 0. What is the smallest common multiple of l and 14?
112
Let x be 5/4 - 5/20. What is the least common multiple of 32/3 + x/3 and 11?
11
Let f(p) = 2*p**2 + 2*p + 4. Calculate the smallest common multiple of f(-2) and 6.
24
Find the common denominator of 10/(-35) + 94/35 and 9/10.
10
Suppose 2*g + 6 = -n - 13, 0 = -3*n + 9. Let y = g + 12. Calculate the lowest common multiple of y and 17.
17
Suppose -2*j + 6*j = 32. Let m = -4 + j. Let o = 2 + 4. Calculate the lowest common multiple of m and o.
12
Let m(i) = -3*i**2 - 9*i - 17. Let c(n) = 4*n**2 + 14*n + 26. Let k(q) = 5*c(q) + 7*m(q). Let s = 8 - 5. Calculate the smallest common multiple of s and k(8).
3
What is the common denominator of -137/6 and 17/(-6) + (-2)/6?
6
Calculate the common denominator of 671/(-420) + 40/50 and 14/9.
252
Calculate the common denominator of -97/10 and -3 - (4 + 71/6).
30
Suppose -4*o = -6 - 2. Suppose 5*g + 65 = 4*d, 4*g = 4*d - o*d - 40. Suppose -d = 4*y - 9*y. Calculate the smallest common multiple of 7 and y.
14
Let c(z) = z**3 - 5*z**2 - 7*z - 4. Let w be c(6). Let a be w/(-4)*(-24)/(-15). What is the common denominator of 28/5 and (39/8)/(5/a)?
10
Suppose 8 = 4*b + 5*r, -2*b + 4*r = -0*b - 4. Calculate the least common multiple of b and 5.
10
Let a = -7188/5 - -1442. What is the common denominator of 49/40 and a?
40
Suppose -65 = 5*w + 20. Let r(y) = y**2 + 18*y + 23. What is the least common multiple of r(w) and 10?
30
Suppose -2*t - 2*t = -2020. Let m = t + -3516/7. Calculate the common denominator of 59/3 and m.
21
Calculate the common denominator of -43/192 and (2/(-54))/((-11)/((-3762)/12)).
576
What is the least common multiple of (-7)/(21/(-6))*3 and (-8)/(-28) - 248/(-14)?
18
Let b = 372 - 364. Calculate the lowest common multiple of b and (-1)/2 + 45/2.
88
Suppose -4*l + 43 = 11. Calculate the lowest common multiple of 7 and l.
56
Calculate the smallest common multiple of ((-5)/25)/(1/(-10)) and 2.
2
Let v = -35 - -83. What is the common denominator of 49/2 and (-16)/12*(-148)/v?
18
Let c = 66 + 6. Calculate the smallest common multiple of c and 12.
72
Let p be 3/(-4) - (-117)/12. Calculate the smallest common multiple of 14 and 6/(2*p/48).
112
Calculate the common denominator of (-892)/(-192) + 2/(-6) and (5 - 1) + (-44)/56.
112
Let y = 585/2 + -264. Calculate the common denominator of y and -3 + 82/(-18) + 3.
18
Calculate the common denominator of -6/19 and 161/(-30) - 5/15.
190
Suppose 9*k = 5*k + 32. Calculate the smallest common multiple of 18 and k.
72
Let c = -429 + 723. Let y be (-9)/(-24)*18892/c. Let o = y + -17/49. What is the common denominator of 47/22 and o?
44
Let i(c) = -c - 13. Let a be i(-9). Let z = 4 + a. Suppose z = -s + 2*k + 8, 3*s = 8*s - 5*k - 50. Calculate the lowest common multiple of s and 20.
60
Let o = -82211/4 + 21506. Let j = o + -961. Find the common denominator of (-9)/(-27)*(-46)/6 and j.
36
Suppose -23 = -5*t + 5*z - 88, -4*z = 4. Calculate the smallest common multiple of (-112)/(-49) - (-4)/t and 12.
12
Let l be (-38 + (-2 - -3))/(-1). Let d = l - 26. Calculate the smallest common multiple of 10 and d.
110
Let p(x) = -x**3 + 2*x - 3. Suppose 0*d - 3*d - 12 = 5*h, 0 = -h + 4*d - 7. Let o be 3*h/(-6)*-2. Calculate the smallest common multiple of p(o) and 12.
36
What is the common denominator of (-245)/63 + (-3)/(-6) and -121/6?
18
Suppose -23 = -2*d - 3*c + 6*c, 2*d - 4*c = 28. Calculate the least common multiple of 14 and d.
28
What is the common denominator of (5/(-20))/(1/(-81)) and 67/34?
68
Suppose 36 = 4*o + 2*r, 4*o + 21 - 65 = 2*r. Calculate the smallest common multiple of 2 and o.
10
Suppose 7*d = 5*b + 6*d - 59, 0 = -b + 5*d + 7. Calculate the smallest common multiple of b and 32.
96
Suppose -13 - 57 = 5*b. Calculate the common denominator of 81/4 and ((-7)/b)/((-7)/62).
28
Let x be (92949/9)/((-3)/63). Let f = x - -96945865/447. Let i = 44881/8940 + f. Find the common denominator of -33/16 and i.
80
Let r be (2/(-1104))/((-1)/(-3134)). Let c = r + -5/69. Calculate the common denominator of -56/3 and c.
12
Let b(n) = 3*n**3 - n**2 - 2*n + 2. Let j be (-7)/(-4) - 7/(-28). Calculate the smallest common multiple of 14 and b(j).
126
Let t be 12/(-42) + 30/7. Let b = -1 + t. Calculate the smallest common multiple of b and 3.
3
Suppose 0 = -2*s + r