27
Let t(b) = -375*b**2 - 2*b + 4. Let j be t(-8). Let z = 1295033/54 + j. Find the common denominator of -51/14 and z.
378
Let t(y) = y**2 - 5*y + 8. Let o be t(6). Let z = -10 - 6. What is the common denominator of 2 - (2 + o/z) and -5/3?
24
Let f = 50035/14854 - 12/1061. What is the common denominator of -27/34 and f?
238
Suppose 0 = 4*o - 3*b + 19, 0*b + 3*b = 2*o + 17. Let t(i) = 23*i**2 + 2*i. Calculate the smallest common multiple of t(o) and 30.
210
Suppose 3*s - 201 = w, 2*w + 398 = -0*w + 4*s. What is the common denominator of (w/14 - -6)*(-4)/6 and 25/8?
56
Let g = -40 - -46. Calculate the common denominator of 98/(-18) + g + -3 + -1 and -5/27.
27
Let f(l) = l**2 - 2. Let x be 16/216*3 + 166/(-18). What is the lowest common multiple of 3/x*-123 - 2 and f(2)?
78
Let d be 2*(-3 + (45/2)/5). Find the common denominator of 23/12 and (-1)/d + (-1348)/(-480).
120
Let y(b) = 10*b**2 + b + 1. Suppose 4 = -4*n - 3*r - 0, -3*r = 0. Let z be y(n). What is the least common multiple of (-16)/(-5)*25/z and 3?
24
Let k(q) = q**3 + 9*q**2 + 12*q - 11. What is the smallest common multiple of k(-5) and 4?
116
Let h(z) = -119*z**2 - 11*z - 24. Let v be h(-10). Let f = 236227/20 + v. Calculate the common denominator of f and 29/4.
20
Let s(h) = 27*h + 1. Let x be s(-5). Calculate the common denominator of 1/120 and x/24*6/(-4).
120
Suppose 3 = 2*b + 5*m, -5*m = -2*b - 0*m + 13. Suppose -24 = -b*s + 20. Suppose -5*q - 2 = -7. Calculate the lowest common multiple of q and s.
11
Let g = -138871 + 29440745/212. Calculate the common denominator of g and 17/4.
212
Let n = -6289 + 12238395/1946. Let d = 112877/17514 - n. Let v = -1186 - -13021/11. Find the common denominator of v and d.
99
Suppose 8*y = 12*y + 3*v - 45, -5*y = -2*v - 62. What is the smallest common multiple of 12 and y?
12
Let v = -20 - -16. Find the common denominator of -71/2 and 170/28 - (v - -7).
14
What is the common denominator of -109/40 and (-2454)/2016 - (-8)/(-84)?
80
Let t = 493/63 + -82/7. Let f(n) = -27*n - 18. Let v be f(-12). What is the common denominator of t and (-11)/(-55) - v/(-70)?
63
Let r be 3*((-8)/(-12))/((-4)/6). Find the common denominator of 19/12 and r/36*-6*(-112)/5.
60
Let q = 247 + -227. Calculate the least common multiple of q and 80.
80
Suppose -33*l + 56151 + 18561 = 0. Calculate the least common multiple of 14 and l.
15848
Suppose -3*s - 35 = -5*a + 2*s, 3*s + 1 = -2*a. Suppose -20 = -a*h + 2*h. Calculate the least common multiple of h and 4.
20
Let w = 2 + 3. What is the common denominator of 59/18 and (-105)/2 - (-3 + (w - 5))?
18
Let l = 502222 - 337477. Let j be (-2)/9 - l/(-1782). Let o = j + -690/11. Find the common denominator of -47/2 and o.
2
Calculate the common denominator of (6/(-3))/(20/29) and 13*(41/(-12) - -3).
60
Let g be (-375)/(-55) - (-4)/22. Suppose -g*l = -11*l - 1000. Find the common denominator of -53/18 and 0 + l/(-36) + -3.
18
Let z be 96/84 - 2/14. Find the common denominator of (-47)/45*(-20)/8 and (-402)/36 - (z + -3).
18
Let a = -204 + 787/4. Find the common denominator of a and 119/12.
12
Suppose -13*c + 100 = -56. Suppose 0*h + 12 = -2*h. Let a = h + 8. What is the lowest common multiple of c and a?
12
Suppose 9*y + 10 = 10*y. Let h = 26 + -12. What is the smallest common multiple of y and h?
70
Let t = -186 + 216. Calculate the least common multiple of 36 and t.
180
Let o = -20 - -40. Let m = 7 - 4. Suppose -d + 25 = m. What is the least common multiple of o and d?
220
Let q = -2739/724 + 6/181. Calculate the common denominator of 21*3*(-4)/35 and q.
20
Let q = -10 + 15. Let x = -970/11 + 16059/176. What is the common denominator of (-171)/6*q/9 and x?
48
Let f(w) = w**3 - 5*w**2 + 5*w - 1. Let k(c) = -9*c + 26. What is the smallest common multiple of k(2) and f(4)?
24
Let s = -77 + 97. What is the smallest common multiple of 112 and s?
560
Let w be 1/(-598)*(1 - 0). Let h = -14043/5980 + w. Let q = -9039 + 180857/20. Calculate the common denominator of q and h.
20
Let x be 72/(-42)*25977/6. Let a = x - -44639/6. What is the common denominator of 85/22 and a?
66
Suppose 5*g + 36 = 17*g. What is the lowest common multiple of 96 and g?
96
Let o = 655/16 + -3471/80. What is the common denominator of 1358/(-180) + (-6)/15 and o?
180
Suppose -z + 55 = 4*z - 5*v, 5*z + 5*v = 85. Suppose 2*d - 4*t + 24 + z = 0, 5*d = 2*t - 63. Let l = d - -21. Calculate the lowest common multiple of l and 22.
110
Let w be (-1)/3 - 7663/(-23043). Let q = w + 5683994/69129. Let z = q - 518/9. Calculate the common denominator of -5/8 and z.
24
Suppose -4*y + 8*y = 72. Let v(s) = s + 2. Let w be v(7). Suppose 2*p - 11 = -i + w, 2*i + 32 = 5*p. What is the smallest common multiple of y and p?
72
Calculate the common denominator of -73/14 and 6/8*26/54.
252
Let r be 23618/(-12) - (-3 + 15/3). Let m = 1990 + r. What is the common denominator of 7/22 and m?
66
Let s be (-194)/(-22) - 0 - 8/(-44). Let c = -1705 + 5189/3. What is the common denominator of ((-15)/s)/((-24)/(-56)) and c?
9
Suppose 2*b + q = 6*b + 12434, 0 = -4*b + 2*q - 12436. Let a = b - -43469/14. Calculate the common denominator of a and 2/11.
154
What is the common denominator of 32/27 and (-10)/45*32/(-28)*6?
189
Let d(y) = -y**2 + 6*y + 4. What is the smallest common multiple of 234 and d(6)?
468
Let b be 1/(-2) + 486/12. Let n be b*(1 + 1/(-2)). Suppose -5*q + 45 = -3*k, -n = -5*q - 4*k + 2*k. What is the least common multiple of 1 and q?
6
Suppose 4*k = 2*y - 9 - 11, 74 = 5*y - 4*k. Calculate the smallest common multiple of 8 and y.
72
Calculate the common denominator of -33/62 and (132/78)/(-11) - (-1390)/416.
496
Suppose 8*c - 3*c = 0. Let g(q) = q**2 - 3*q + 10. Let x(v) = 3*v**3 + v**2 - v. Calculate the least common multiple of g(c) and x(1).
30
Suppose 5*w - 51 = -3*v + 2*w, -2*w + 53 = 3*v. Let f = 27 - v. Suppose 5*t - 29 = 11. What is the lowest common multiple of t and f?
8
What is the lowest common multiple of 12 and (-5)/(-15) + 358/6?
60
Let q = 3765987/160 + -23537. Calculate the common denominator of q and 75/176.
1760
Calculate the common denominator of (-765)/(-155) + -5 - 1788/(-2728) and -17/14.
154
Suppose 0 = 4*c + 8, -2*l - 3*c = 1 + 1. Let f be (-177 + 161)/(1/(3/(-2))). Suppose l*m - f = -2*m. What is the lowest common multiple of 12 and m?
12
Let p = 1/19201 - 39485/20794683. Let x be (-4)/(-14) + 6989384/(-1334256). Let f = x + p. Find the common denominator of -31/14 and f.
154
Let c be 1*-2 + (-36)/(-3). What is the common denominator of 178/8*-6*9/189 and (52/c)/((-28)/15)?
14
Calculate the common denominator of 109/48 and 1/3 - (-301)/(-28).
48
Suppose 3*i - 4*i = 2*a - 8, -6 = -2*i + a. Suppose 113*t - 56*t - 684 = 0. Calculate the least common multiple of t and i.
12
Let x = 1215371/1083348 - 15/10031. Find the common denominator of -11/162 and x.
324
Suppose 4*o + 0*c = -3*c + 50, 0 = -3*c + 6. What is the common denominator of (9/(-12))/(o/(-56)) and (-54)/(-15) + 3 + -3?
55
Suppose 6 = -6*q - 6. Calculate the least common multiple of q*(-2)/(-12)*-27 and 9.
9
Let g be ((-3)/3)/3*3. Let f(i) = 66*i**2 + i. Let r be f(g). What is the smallest common multiple of (r - -1)*4/12 and 40?
440
Suppose 4*z - 10 = 10. Suppose 75 = c + 2*c - 5*x, 4*x = 5*c - 138. Let g = c - 26. What is the least common multiple of g and z?
20
Let p = 9 + 11. Let l = -2377 - -2429. Calculate the smallest common multiple of p and l.
260
Let u = -7 + 2. Let k be (-4 - -9)*(-2)/u. Suppose 0 = -0*m + k*m - 70. Calculate the common denominator of 32/9 and m.
9
Suppose -11*i = -15*i - 384. Let f = -2948/7 - -59597/140. Calculate the common denominator of 1 - 159/i - 0 and f.
160
Let r(s) = s**3 + 14*s**2 + 40*s + 18. Calculate the least common multiple of 63 and r(-10).
126
What is the lowest common multiple of 24 and 3/(6 + (-1908)/320)?
240
Let l(f) = f + 4. Let q(z) = 2*z + 9. Let m(v) = 10*l(v) - 6*q(v). Calculate the least common multiple of 20 and m(-9).
20
Let o = -42959/6 + 7143. Let t = -1 - -5. Let v(s) = 2*s**2 - 4*s + 3. What is the common denominator of v(t) and o?
6
Let h = -70/34331 + -424090143/343310. Let o = -1522 + 2759. Let u = h + o. Find the common denominator of u and 61/10.
10
Let b = -69501/18194 + 3/1654. What is the common denominator of b and -50/11?
11