et n be d(-9). Let x = 94 - n. What is the least common multiple of x and 1 + 0 - (1 + -2)?
16
Calculate the common denominator of (-3862)/408 + -4*18/612 and 25/1448.
4344
Let v be 6/15 + (-13)/(-135)*167. Let g = -6637/270 + v. What is the common denominator of g and -103/120?
120
What is the smallest common multiple of (14 + -5 + 3)/(4/10) and ((-2)/3)/(2/(-33))?
330
Suppose 0 = c - 4 - 0. Let o(i) = -21*i + 67. Calculate the least common multiple of o(3) and c.
4
Let y(p) = p + 4. Let m = -103 + 111. Calculate the lowest common multiple of y(-3) and m.
8
Let p = 370498 - 48164983/130. Let j be ((-2)/(-26))/(2/20). Let r = j + p. Find the common denominator of -145/12 and r.
60
Let b = 6 + -4. Suppose -o + 6 = b*o. Suppose 0 = 3*a + o*a - 45. Calculate the least common multiple of a and 10.
90
Let a = -8894/9 + 986. Suppose -w - 4*g + 0*g + 3925 = 0, -4*w = 5*g - 15645. Let b = 31291/8 - w. Calculate the common denominator of a and b.
72
Let z(t) = t**3 - 4*t**2 + 4*t - 3. Let v be z(4). Let d = 31 - v. Let b = 52 + -30. Calculate the least common multiple of d and b.
198
What is the lowest common multiple of 3 and (9 + -18)/((-15)/205)?
123
Let n = -271609/358 - 131602379/25418. Let h = 5936 + n. Let p = h - -5221/852. Find the common denominator of -93/20 and p.
60
Suppose -3*j + 8 = -4*i, 3*j + 6 = -2*i + 5*j. What is the least common multiple of 1425/60 - (-2*i)/8 and 9?
72
Let f = -4271/2805 - -73/255. Find the common denominator of 46/33 and f.
165
Let m = 2/86307268061 + -2456662407709841/509817032436327. Let v = 2/3759 + m. Suppose -9*c - 31 = 86. What is the common denominator of c and v?
11
Let c(x) = -x**3 + 11*x**2 - x + 11. Let v be c(11). Suppose 0 = -5*n - 25, -2*g - 5*n + 9 + 2 = v. What is the lowest common multiple of g and 26?
234
Calculate the common denominator of 4/(-10) + 1208/270 - 4 and 12/42 + 32/21.
189
Suppose 5*a + 5 = 6*a. Let d = -54 + 169. Suppose 2*q - 7*q - a*k + d = 0, -3*q - 4*k + 72 = 0. What is the smallest common multiple of 4 and q?
20
Suppose o - j = 0, -o + 6*j = 2*j + 12. Suppose 6 = -3*c + 3*a, -o*c + a + 1 = -0*a. Calculate the lowest common multiple of 172 and c.
172
Let z be ((-9)/(-24))/(2/(-19238)). Let v = z - -3619. Let j(c) = c**2 - 3*c + 5. Find the common denominator of j(8) and v.
8
Let o(c) = c - 1. Let u(f) = -4*f**3 - 6*f**2 - f + 2. Calculate the smallest common multiple of o(3) and u(-2).
12
Let a be (-3)/(15/20)*1. What is the lowest common multiple of (-12)/16 + (-27)/a and 4?
12
Let m be (-6)/(-27) - 1981/45. Let l = -752/15 - m. Calculate the common denominator of l and -71/15.
15
Suppose -80*m + 132 = -77*m. What is the smallest common multiple of m and 164?
1804
Let o = 877 + -511. Find the common denominator of 45/14 and 55/(-198)*o/40.
168
Let x = 1899886/65 + -29228. Find the common denominator of x and 23/91.
455
Suppose -h = -4*h + 15. Suppose y + h*u = -22, y + 4*u + 11 = -6. What is the least common multiple of y and ((-28)/(-21))/((-6)/(-27))?
6
Let m(v) = v**3 - 10*v**2 + v + 6. What is the smallest common multiple of 50 and m(10)?
400
Suppose -4*p = -2*k - 2, -4*k - 2*p = 3*p + 17. Let u = k + 19. What is the smallest common multiple of 20 and u?
80
Let p = -2/442081 - -473468827/16799078. Let r = p + -51/19. Find the common denominator of 40/11 and r.
22
Let a = 166227/20 + -8306. Find the common denominator of ((-34)/(-4))/(8 + 16/6) and a.
320
Suppose 54 = 2*o + o. Suppose 12*g + 144 = o*g. What is the lowest common multiple of g and 22?
264
Let j = 569449 - 204999757/360. Let c = 27/40 - j. What is the common denominator of -61/21 and c?
63
Let l be (-4 - -6)/4*12. Suppose 5*z - l*z = 14. Calculate the common denominator of (z/(-40))/(18/(-315)) and -33/34.
136
Suppose r = -r + 37914. Let u = 625498/33 - r. What is the common denominator of u and 37/21?
231
Let f = -458 + 3571/8. Let i = 2495572 + -42412711/17. Let r = i - 704. Calculate the common denominator of r and f.
136
Let j be 3 + 4 + -3 + 4. Suppose -3*m + 2*m + j = 0. Calculate the smallest common multiple of 11 and m.
88
Let b = 30 + -30. Suppose -3*y - w + 14 + 189 = b, 2*y = 4*w + 112. What is the lowest common multiple of y and 6?
66
Let b = -8 + -17. Let d = 15 + b. What is the least common multiple of d/(-2 + (3 - 2)) and 4?
20
Suppose 4*x = 4*t + 39 + 113, -5*x - 4*t + 226 = 0. Find the common denominator of 2 - (-156)/16 - (0 + -1) and (-3)/2*(-62)/x.
28
Let w = 2425 - 1329. Let o = w + -24107/22. What is the common denominator of o and -51/16?
176
Suppose -6*x = -s - 3*x + 537, 0 = 2*s + 3*x - 1101. What is the smallest common multiple of 8 and s?
2184
Suppose -12 = 3*y, -u - 7 = 2*y - 3. Let q be u*3/(-18)*3. What is the smallest common multiple of (7/2 + q)*8 and 22?
132
Suppose 4*c - 1 + 7 = -2*j, -2*c - 2*j = -2. Let b(d) = 2*d**2 - 76*d + 21. Let i be b(19). What is the common denominator of i/(-30) - c/(-20) and 43/14?
42
Let d(k) = k**2 - 13*k + 40. Let v be (9 + (-222)/18)/(1/(-3)). What is the lowest common multiple of 16 and d(v)?
80
Let z be (-6)/3 - -5 - -2. Find the common denominator of 27/2 and 113/z*(-15)/330.
110
Let k(d) be the first derivative of -d**3/3 - 3*d**2/2 + 2*d + 1. Let x be (3 - 2)*1*-2. Calculate the lowest common multiple of k(x) and 2.
4
Let q = -104 + 196. Suppose 2*f + 2*y = 134, -f + 5*y = 31 - q. What is the smallest common multiple of 4 and f?
132
Let a be 1/(-4) - (-114)/8. Suppose 13*i - 2 = -15. What is the common denominator of a/(-6) + (-1)/i and 16/7?
21
What is the lowest common multiple of 28 and 1/(-11) + (-4956)/(-308)?
112
Suppose -4*q = -4*a - 4, 7 = 5*a + 92*q - 95*q. Let f(o) = -o**3 + 8*o**2 - 10*o + 8. What is the least common multiple of f(6) and a?
20
Let k = 33 + -29. Suppose r - 4 = -5*y + 25, -k*y + r = -16. Calculate the smallest common multiple of y and 5.
5
Let w = -1076 + 1148. What is the least common multiple of 24 and w?
72
Suppose -4*g + 4*c = -28, 0 = -4*g - 5*c + 49 + 24. What is the least common multiple of g and 3?
12
Let y(n) = 12*n - 28. Let i be y(6). What is the common denominator of -107/22 and 125/i + (7/4 - 1)?
22
Let d = 4/497 - -1408/1491. Let h = 2720 - 40877/15. Find the common denominator of h and d.
105
Let z = -151541/154 + 984. Let p = 317/154 - z. Find the common denominator of p and (39/18 + -2)*-109.
66
Suppose 3*u - 11 = -2*r, -2*u = -u - 3*r - 11. What is the least common multiple of 4 and 53/u + 8/20?
44
Let j(r) = r + 24. Suppose -54 = 2*a - 14. Suppose -l - 4*l = -45. What is the lowest common multiple of j(a) and l?
36
Let j be (-3 + 2 - 60/(-3))*-1. Let z = j - -77. What is the smallest common multiple of 12 and z?
348
Let y = -432 + 448. What is the lowest common multiple of 110 and y?
880
Let c = 522773/40 + -13071. Calculate the common denominator of c and 55/28.
280
Let u = -2/115415 - 59554102/2192885. Let k = u + 9149/304. Let y = -887/24 + 82/3. Calculate the common denominator of y and k.
16
Let l = -171007/3952 + 829/19. What is the common denominator of -5/182 and l?
1456
Calculate the common denominator of ((-2)/((-4)/3))/((-15)/(-101)) and 43/3.
30
Let j(k) = -107*k + 876. What is the lowest common multiple of 3776 and j(8)?
18880
Let n = 2894 - 2887. What is the lowest common multiple of 8 and n?
56
Let u be (-5)/(5/(-3)) - 17. Let d be 32/18 + u/(-63). Suppose 24 = d*f + 2*f. Calculate the smallest common multiple of 10 and f.
30
Let k = -221 - -341. Suppose -2*i + 5*g - 45 = 0, 4*i + 53 = 2*i - 3*g. Calculate the common denominator of 30/7 and k/i*(-20)/(-46).
161
Suppose 15 = 2*q - 7. Suppose 0 = 14*g - q*g - 72. Calculate the least common multiple of 8 and g.
24
Let n(x) = 3*x**2 - 96*x - 69. What is the least common multiple of n(33) and 12?
60
Let h(v) = -v**3 - 3*v**2 + 8*v - 3. Let d be h(-6). Suppose 13 = 2*y - d. Find the common denominator of 97/20 and (y - 2)/((-56)/(-12)).
140
Suppose x + 54 = -3*t, 2*t + 18 = -5*x - 18. Let b be (890 + 0)*(-1)/t. Let r = -50 + b. What is the common denominator of 1/5 and r?
45
Suppose 2611 = 3*q + 2599. What is the lowest common multiple of q and 978?
1956
Let f(b) = -b**3 + 7*b**2 - 2*b + 18. Suppose -8 = -2*y, a - 2 = -3*y + 7. Calculate the smallest common multiple of ((-36)/(-10))/(a/(-10)) and f(7).
12
Suppose 7*t - 4*t - 318 = 0