pose -x = x - 60. What is the smallest common multiple of y(-2) and x?
30
Let i = 21 - 15. Suppose 5*b - 55 = -i*b. What is the least common multiple of b and 61?
305
Let a = 4597/570 - 55/57. Calculate the common denominator of a and -161/60.
60
Let n = 23327 - 653085/28. What is the common denominator of -93/416 and n?
2912
Let g = 151 - 141. Let x = -54 - -36. Let d = x + 25. Calculate the smallest common multiple of g and d.
70
Let k = 0 - 2. Let c(t) = -34*t - 36. Let x be c(-1). What is the lowest common multiple of -1 - (k - x) - -17 and 2?
16
Suppose -2*k + 6*k = 0, 2*s + k + 6 = 0. Suppose -2*z - 2 = -m, -5*m + 42 = -z - z. Calculate the smallest common multiple of m and 2/(s + (-155)/(-50)).
20
Suppose -32 = -3*b + b. Calculate the least common multiple of b - (5 + 1 + -2) and ((-1)/1)/(6/(-42)).
84
Suppose -432 = -31*l + 37*l. Calculate the least common multiple of 18/(-8)*l/27 and 8.
24
Let t = 28 - 25. Suppose 0 = -4*p - t*q - 60, 4*q - 42 = 4*p + 18. Let l(v) = v + 29. What is the smallest common multiple of l(p) and 18?
126
Suppose -l - 6*l = 1015. What is the common denominator of 1 + -5 - l/80 and -95/8?
16
Calculate the common denominator of (-185)/(-40)*(5/(-15) - 1) and -83/4.
12
Let y = 9489 - 332273/35. Let z = -481 - -2386/5. Let l = z - y. What is the common denominator of l and 5/9?
63
Suppose 44 = 4*x + 2*q, -4*x + q + q = -52. Suppose x*a + 12 = 15*a. Suppose 15 + 15 = 3*d. Calculate the lowest common multiple of d and a.
20
Let q = 6063 - 418339/69. What is the common denominator of -61/63 and q?
1449
Let i be (-111)/(-4) - (-6)/24. Calculate the common denominator of (-17)/119 + 99/i and -121/18.
252
Suppose p - 5*d + 0*d = 38, 5*d = -5. What is the common denominator of 6/p + (-633)/(-88) and 93/2?
8
Let n(o) = 121*o**2 + 4*o - 6. Let k be n(-6). Let s = 17397/4 - k. What is the common denominator of s and -1/10?
20
Suppose -2*q = 3 - 7. Calculate the lowest common multiple of (36/84 - 1) + (-1296)/(-14) and q.
92
Let k = -3 + 5. Let a(r) = 3*r + 6. Suppose -4*j - j - 2*m = -10, 0 = -2*j - m + 5. What is the smallest common multiple of k and a(j)?
6
Suppose 0 = -2*c + 14 - 20. Calculate the lowest common multiple of 14/(-21) + (-17)/c and 4.
20
Let a = 7 - -14. Let o(i) = i**3 + 7*i**2 + i - 6. Calculate the smallest common multiple of o(-6) and a.
168
Suppose 4*c - 12 - 12 = 0. Suppose -244*b + 251*b - 7 = 0. What is the smallest common multiple of b and c?
6
Let i = 110867/31335 - 10/2089. Calculate the common denominator of -19/81 and i.
405
Suppose 2*b - 5*n - 14 = 6*b, b = -n - 3. What is the smallest common multiple of b + 1 + 1 + 4 and (-1)/(-4)*1 - (1044/(-48) + 15)?
35
Let f(u) = u**3 - 8*u**2 - 9*u - 8. Let x be f(7). Find the common denominator of (-982)/x + 2/5 and ((-35)/49)/(48/(-21)).
48
Let s = 58 + -55. Let u = -703 + 5547/8. Find the common denominator of u and 1/(s/42)*18/(-24).
8
Let g = 7168/2755 + -1/551. Find the common denominator of g and (-3 - 192/(-63))/(4/(-12)).
35
Let b = 251 + -248. Suppose 5*l - 11 - 27 = -2*z, 3*z - 3*l - 78 = 0. Calculate the smallest common multiple of z and b.
24
Suppose 0 = -7*z + 3*z + 140. Calculate the lowest common multiple of 70 and z.
70
Let g = -1313/56 + 193/7. Find the common denominator of (-30)/(-72) - 1/(-3) and g.
8
Let s = -424 - -449. Calculate the lowest common multiple of s and 20.
100
Let v = 37 - 24. Let m = v + 3. What is the smallest common multiple of (-224)/(-10) - (-14)/(-35) and m?
176
Let t = 86453 - 6051611/70. Calculate the common denominator of t and 58/7.
70
Suppose -9*s - 4*a + 1486 = -4*s, 0 = 3*s - 5*a - 862. Calculate the least common multiple of 18 and s.
882
Let a = 588/409 - 2410749/1677718. Let f = a + 47119/73836. Calculate the common denominator of 109/36 and f.
36
Let m(h) = -2*h**2 + 4*h + 32. Let p be m(5). Suppose -8 = -p*r, -q + 0*r = 5*r - 152. Calculate the lowest common multiple of q and 10.
660
Let y = -107923/24 - -4499. Find the common denominator of y and -2 + 1 + (-86)/(-40).
120
Let q be (-4)/18 - (-67022)/198. Let p(z) = -38*z**2 - 5*z - 11. Let y be p(-3). Let u = q + y. What is the common denominator of u and -47/2?
22
Let i = -1802 + 21611/12. Suppose 4*r + 3*b = -b + 52, 3*b - 7 = -r. Calculate the common denominator of i and 4 - ((-228)/r - 1).
12
Suppose -201 = -25*m + 299. Calculate the smallest common multiple of m and 58.
580
Let u(g) = g**2 - 9*g - 2. Let a be u(8). Let o = a + 10. Suppose 4*m = o, 0*t - 3*m + 4 = t. Calculate the least common multiple of 8 and t.
8
Let d(r) = r + 12. Let n be d(-11). Suppose l = 14 - n. Suppose s = -5*m + 43 + l, 2*m - 3*s = 36. Calculate the least common multiple of m and 3.
12
Let t = 19/11 - 103/66. Find the common denominator of t and -91/54.
54
Suppose 5*f - 10 = -5. Suppose f = b - 7. Suppose 0 = -2*t + 6 + 34. Calculate the least common multiple of t and b.
40
Suppose 0 = -4*n - 5*p + 617 + 148, 5*n - 946 = 4*p. Suppose -v + 1 = -2*v. What is the common denominator of n/60 + v/4 and 13/16?
48
Let z be -2*(6 + -1 - 4) + 2. Calculate the least common multiple of 119/21 + (-2)/3 - z and 55.
55
Let v(r) = r**2 - 4. Suppose -21 = 407*n - 410*n. Let k(l) = -l**2 + 20*l - 80. What is the smallest common multiple of v(3) and k(n)?
55
Let o = -81 + 78. Calculate the smallest common multiple of 6 and 1 - ((o - -1) + -27).
30
What is the common denominator of (-60)/(-40)*(-98)/(-3) and ((-22)/(-10))/(3/9)?
5
What is the common denominator of 19/58 and (-2)/(-5) - (-3312)/960?
580
Let f(g) = g**2 + 6*g + 8. Let s be f(-4). Let t(o) = 4*o - 2*o + s*o - 4*o. Calculate the smallest common multiple of t(-1) and 3.
6
Let a = 2509/4 - 652. Let x = 2590955 + -25952659/10. Let r = 4315 + x. Find the common denominator of a and r.
20
Suppose -1394 = -19*d + 506. What is the least common multiple of 90 and d?
900
Let v = -5/71971 - -5980833/104214008. Find the common denominator of 113/20 and v.
7240
Let h(w) = w**2 - 2*w - 1. Let c be 3/3*(-1)/1. Let i be h(c). Suppose -j = i*j - 15. Calculate the smallest common multiple of j and 4.
20
Let g(a) = -a**3 + 16*a**2 + 19*a - 4. Calculate the lowest common multiple of g(17) and 18.
90
Let t(x) = -x**3 - x**2 + x + 20. Let h = -180 + 192. What is the smallest common multiple of t(0) and h?
60
Suppose -3*w = -4*n - 62, -5*w + 88 - 8 = 5*n. Suppose -h + 0 = -w. Calculate the least common multiple of 3 and h.
18
Let z = -234487/7910 - 44/791. Let c = 401/5 + z. What is the common denominator of 2/(-4) + 29/(-3) and c?
6
Let j = 239 + -221. Calculate the smallest common multiple of j and 2.
18
What is the common denominator of ((-763)/(-1160) - (-13)/65) + -1 and 111/20?
1160
Let y = 35 - 44. Find the common denominator of (44 + -11)/(12/y) and -139/138.
276
Suppose x + o - 209 = 82, 4*x + 3*o - 1167 = 0. Calculate the smallest common multiple of x and 14.
294
Suppose 0 = -2*g + 2 + 2. Let x(d) = d**2 - 4*d**2 + g*d**2 - 5 + 8*d. What is the smallest common multiple of 2 and x(7)?
2
Let i(l) = 2*l**2 + 4*l + 4. Let s be -1 - (3 - 4/(-2)). Let q = s - -26. What is the least common multiple of q and i(-4)?
20
Let o = 6559 - 144335/22. Let q be (-78)/32*(-208968)/54. Let f = 9443 - q. What is the common denominator of o and f?
132
Let h be (-5087)/1260 + (1 - 2). Let s = 26/63 - h. What is the common denominator of 6409/(-1020) - (5 - 9) and s?
60
Suppose 11*b = 49 - 5. Let s = 14 - b. Let l = 18 - 12. Calculate the smallest common multiple of s and l.
30
Let a be (-36)/15*(-390)/(-9). Let m be a/14 - 33/(-77). Let v = 1 - m. Calculate the smallest common multiple of v and 6.
24
Suppose 3*i + 2*i = -4*b + 40, 0 = -2*i + 2*b + 16. Calculate the smallest common multiple of 0 + 2 + (-72)/(-4) and i.
40
Let w be (-4567)/10 + (-2)/(-4). Let f = w + 459. Let q = -584 - -2877/5. What is the common denominator of f and q?
5
Suppose g + 2*j - 4 = -3*g, 2 = 5*g + 4*j. Suppose 0 = g*l - 6*l + 8. Find the common denominator of (-5)/l*(-101)/50 and -139/12.
60
Let d = 70 + 158. Suppose -6*y + d = 72. Calculate the lowest common multiple of y and 22.
286
Let f(g) = -g**3 - 4*g**2 - 4*g. Let h be f(-3). Let r = 197 - 195. Calculate the lowest common multiple of (60/9)/(1/h) and r.
20
Let j = 222 + -161. Let b = 109 - j. What is the lowest common mu