3. Find the common denominator of -93/2 and (-1162)/o + 8/(-36).
2
Let v be -11 - (-2 - -2 - 3). Let x = v - -2. Find the common denominator of 101/12 and (x/(-9))/(4/49).
12
Suppose -53*o = -67*o + 140. Calculate the smallest common multiple of 1220 and o.
1220
Suppose 0 = -5*z + 3*z. Suppose 4*n - 31 - 25 = z. Calculate the least common multiple of (-5)/(5/(-6)) + -2 and n.
28
Suppose -y = 4*s - 19, -2*s - 13 = -3*s - 3*y. Let r(x) = x**2 + 8*x - 5. What is the smallest common multiple of s and r(-9)?
4
Calculate the common denominator of 2/(264/(-414)) + 6 - 6 and -143/102.
1122
Suppose -3*n + 2*j + 151 = 0, n + j = -n + 110. Suppose 16*f - 72 = -24. Suppose n = 5*z + f. Calculate the lowest common multiple of 2 and z.
10
Let l(j) = -11*j**3 + j**2 + 7*j + 5. What is the lowest common multiple of 248 and l(-1)?
1240
Suppose -20*p = 198 - 858. What is the lowest common multiple of p and 0 + (0 - -2) + 10?
132
Suppose 4*k + 5*d - 36 = 0, d - 3 = 4*k - 15. What is the smallest common multiple of k and 220?
220
Let m(u) = u**3 + 12*u**2 + 9*u - 13. Let r = -8 + -3. Calculate the lowest common multiple of m(r) and 14.
126
Suppose -2*f = 2*u - 224, 0*u - 3*u = -5*f + 544. What is the lowest common multiple of 132 and f?
660
Let x be (-1)/(-2)*(3 - 3). Suppose x = 8*o - 7*o - 474. Let r = -10459/22 + o. Calculate the common denominator of r and 103/10.
110
Let m = -12007 + 48119/4. What is the common denominator of m and (-23)/(-4) + (-1)/4?
4
Suppose -2*a + 188 = -2*p, 0 = -137*p + 132*p - 20. What is the lowest common multiple of a and 70?
630
Let j(w) = -w**2 + 11*w + 13. Let z be j(12). Find the common denominator of 22/81 and (124/(-2) + z)/(-17 - -12).
405
Let y(f) = f + 13. Let i be y(-13). Suppose 5 = 5*m + 5*p, 5*p + i*p + 55 = 5*m. Suppose -7*h = -3*h - 48. What is the smallest common multiple of m and h?
12
Let y = 82 + -96. Calculate the smallest common multiple of 4/y + 276/84 and 11.
33
Let l be 51/68 + (-1)/(-4). Calculate the common denominator of -10 and l/9*1356/(-8).
6
Let k = -13 + 12. Let c be (6/8)/(k/4). What is the common denominator of (2/c)/((-100)/(-1245)) and 13/6?
30
Let q = -11 - -8. Let j(u) = 3*u**2 + 2*u - 1. Let m be j(q). Suppose -5*y + m = -y. What is the smallest common multiple of 12 and y?
60
Let u = -8 - -13. Let x(b) = 12*b + 1. Let n be 1*(0 + (-1 - -2)). What is the least common multiple of x(n) and u?
65
Let h be ((-15)/(-20))/(1/4). Suppose -p + 13 = 3*v + 3, -3*p = -h. What is the smallest common multiple of 21 and v?
21
Suppose 2*o = -9*o + 671. Let h = o + -28. Calculate the lowest common multiple of 24 and h.
264
Suppose 0 = -15*f + 20*f - 260. What is the lowest common multiple of f and 130?
260
Suppose 5*d = 5*y - 60, 2*d = 6*d - y + 39. What is the lowest common multiple of 14/(-12)*(3 + d) and 2*1/(4/14)?
7
Suppose z + 9 = 3*m - 3*z, -5*z = -2*m + 6. What is the smallest common multiple of 2/6 - 116/(-12) and m?
30
Let t = 695 - 605. Calculate the lowest common multiple of t and 324.
1620
Let w(s) = s**2 + 4*s + 7. Let z be w(-6). Let j = z - 13. Let b(r) = -r**3 + r**2 + 3*r + 1. What is the lowest common multiple of b(-2) and j?
42
What is the lowest common multiple of 24 and (-14)/63 + 3/(108/296)?
24
Let f = -1/324172 - 8023205/16856944. What is the common denominator of 131/260 and f?
1040
Let r(j) = j + 2. Let h be r(0). Suppose -3*w - 4 = -h*w, i + 5*w = -14. Let s(x) = 3*x - 10. Calculate the lowest common multiple of i and s(8).
42
Let t(g) = -6*g - 18. Let l be t(-6). What is the common denominator of (5*(-2)/l)/(5/(-65)) and 21/10?
90
Let y = -583 + 1096. What is the common denominator of (-6)/36*y/21 and 131/18?
126
Suppose -6 = -5*i + 34. Suppose -3*z = r + i + 5, 51 = -3*r + 3*z. Let q = r - -17. Calculate the smallest common multiple of 8 and q.
8
Let z(t) = -3*t**2. Let w be z(-2). Let c = 8 + w. What is the lowest common multiple of 4 and 12 - c*(-1)/4?
44
Let i be 3/(-7*(-2 - (-13)/7)). Let z = 7 + i. What is the least common multiple of 20 and z?
20
Suppose -182 = 15*r - 677. Calculate the lowest common multiple of 78 and r.
858
Let t = -57007 - -13852750/243. Calculate the common denominator of -35/27 and t.
243
Suppose -p = -3*b + 66, 93 = -b + 5*b - 3*p. What is the smallest common multiple of -21 + 19 + -1 + b and 6?
18
Let t(o) = 13*o**2 - 6*o - 6. What is the lowest common multiple of 136 and t(2)?
136
Suppose -4*c + 106 = -g, 5*c + g - 138 = -1. Calculate the lowest common multiple of c and 24.
216
Suppose 0 = -4*a + 6*a - 8. Suppose -2*s - 128 = a*d, -3*s = -s. Find the common denominator of -77/10 and -1 - (108/d - 2).
40
What is the common denominator of 51/125 and (-18)/207 - (-891)/460?
500
Let j = -127609/18 - -7085. Let z = -2453/12 - -841/4. What is the common denominator of j and z?
18
Let f be (132/16)/11 + 2801/(-44). Let i = f - -93353/1496. Calculate the common denominator of -87/10 and i.
680
Calculate the common denominator of 87/106 and (-91)/(-7) - 0 - (-6)/(-8).
212
Let m be (52/2)/(210/156). Let c = 2/105 + m. Let i = 565/6 - 253/3. Find the common denominator of i and c.
6
Let a = 738911/66283391 + -2/105379. Let m = a - 51005/5032. Calculate the common denominator of m and 13/2.
8
Let g = -13 + 12. Calculate the common denominator of -7/24 and (-1688)/(-640) - g/(-5).
48
Let d = 27 + -27. Suppose -k = -4 - d. Suppose o + k = -4*p - 3, -p - 23 = -4*o. Calculate the lowest common multiple of o and 3.
15
Let c = 1/2670 + 10901/4005. Let u be (-10)/(-8) - (-2)/(-8). Calculate the common denominator of c and (111/(-96))/(u/(-2)).
144
Suppose w + 3405 - 538 = 0. Let v = w - -17135/6. Find the common denominator of 117/20 and v.
60
What is the least common multiple of 398 and (-27)/27*8/(-2)?
796
Let z = -124 - -249/2. What is the common denominator of z and -61/22?
22
Find the common denominator of (-11)/(-45)*(-16)/(-40) and -42/55.
2475
Suppose 2*g - 4 = o - 2*g, 5*o - g - 75 = 0. Suppose 314 = 93*w + 342*w - 2296. Calculate the smallest common multiple of o and w.
48
Let q = 270929902766493/52353805393 - -3/346713943. Let t = q - 5175. Let m = -2543/1208 + t. Find the common denominator of -85/8 and m.
8
Let h = -3 + -3. Calculate the smallest common multiple of (16/(-6))/(h/9) and 20.
20
Let q = 1507/304 + 23/38. Find the common denominator of q and (87/(-18))/(((-330)/(-9))/(-10)).
176
Let u = 2/2219 + -91005/28847. Calculate the common denominator of u and 2176/(-105) - 136/(-2380).
39
Let i(h) = 51*h - 9. Let l be i(14). Let c = -5629/8 + l. What is the common denominator of 19/13 and c?
104
Calculate the common denominator of -17/100 and (-806)/(-210) - 48/(-112).
300
Suppose 7*d - 12*d = -35. Let g = -10 + 15. Suppose g*u = 4*u + 1. What is the lowest common multiple of u and d?
7
Let w = -12 - -12. Suppose -s = -w*s. Suppose s - 12 = -i. Calculate the smallest common multiple of i and 22.
132
Let b = -334 + 359. Calculate the least common multiple of b and 5.
25
Calculate the common denominator of ((-4)/250)/(((-68)/(-4165))/(-1)) and -51/10.
50
Calculate the least common multiple of 24 and (35 - 8)/((-3)/(-3)).
216
Suppose 4*o + o = 10. Let d(w) = 4*w**2 - w**2 + o*w - 1 + w**2 - w**2. Calculate the smallest common multiple of d(1) and 20.
20
Suppose -5*o - 3*c = -9 - 13, 3*o - 5*c - 20 = 0. Suppose 0 = -4*s - o - 7. Let d = s + 7. What is the least common multiple of 18 and d?
36
Suppose -68 = d + 10. Let t = 96 + d. Suppose 2*w - 4*g - 4 = 0, -4*w + 16 = g - 10. What is the smallest common multiple of t and w?
18
Let f(u) = -7*u - 7. Suppose -2*p + 2*k - 6 = 0, -4*p - 4*k - 6 = -2. Calculate the lowest common multiple of 2 and f(p).
14
Let l = 60 - 36. Suppose 19*m - l*m = -15. Calculate the lowest common multiple of 30 and m.
30
Let v = 30/299 - 22665/2392. Suppose 3*p - 3*o = 2*o + 8345, 0 = 2*o + 8. Let y = p - 38869/14. What is the common denominator of v and y?
56
Let d(n) = 1. Let m(y) = y + 9. Let s(j) = -d(j) + m(j). What is the least common multiple of s(-6) and ((-12)/10)/((-1)/15)?
18
Suppose 4*f + m - 2 - 1 = 0, 3*m = 2*f + 9. Suppose f = 2*r + r - 117. Calculate the common denominator of -76/9 and r.
9
Suppose 4*g - q + 3*q = 126, -157 = -5*g - 3*q. What is the common denominator of 31/12 and -2 + (-86)/g*1?
48
Let n(w) = -w