ose 0 = -77*q + 81*q - 2660. What is the lowest common multiple of q and 55?
7315
What is the least common multiple of (50 + -55)/((-16)/(-18) + -1) and 15?
45
Suppose -2*w = -f - 89, 3*w + 0*f - 130 = -2*f. Find the common denominator of (88/6)/2 - (46 + -51) and w.
3
Let r = 451/9000 + 117/125. What is the common denominator of 7/11 and r?
792
Let b(f) = 45*f - 1407. Suppose 6 = 3*s - 9. What is the lowest common multiple of b(34) and s?
615
Let f(n) = 2*n**3 - 14*n**2 - 22*n - 80. Calculate the lowest common multiple of f(10) and 45.
900
Let g = 6 + 4. Let u = 4899 + -29321/6. Calculate the common denominator of g*(4 + 188/(-48)) and u.
6
Let y be -2 - -66*2/((-4)/69). Let i = y - -36427/16. Find the common denominator of 19/20 and i.
80
Let t = -12448 + 149231/12. Let o(q) = -q**2 - 6*q - 2. Let s be o(-7). Find the common denominator of t and 141/s*(-6)/10.
60
Suppose -5*m + 47*y + 16 = 48*y, m = 4*y - 1. Let w = -7 - -11. What is the least common multiple of m and w/22 + 42/11?
12
Suppose 2*m = g + m - 5, -g - 4*m - 5 = 0. Suppose g*k + 12 = 0, -2*a + 32 = -a - 4*k. Let i = -47 + 67. What is the lowest common multiple of i and a?
80
Let o(g) = -23*g**2 + 42*g - 1. Calculate the least common multiple of 11/2 - 1/(-2) and o(1).
18
Suppose -x - 169 = 3*z, -5*x + 2*z = z + 877. Calculate the common denominator of -21/4 and (1/7)/(14/x).
28
Let y = -13 + 20. Let h = -284 + 185. Let z = 109 + h. Calculate the smallest common multiple of z and y.
70
Let p = 5/101009 - 508762/4156217323. Let v = p - -52339005/288029. Let y = 181 - v. Find the common denominator of y and 37/4.
28
Let t = -264955389/4489639 + 11744/199. Let f = -4219057/676830 + t. Find the common denominator of f and -47/33.
330
Let g(y) = y + 6. Let n be g(-4). Suppose -n*f - 3*x = -0*f - 16, 2*x = -3*f + 34. Suppose 0 = 3*v + 4*v - f. Calculate the smallest common multiple of 1 and v.
2
Let d = -474 + 484. What is the lowest common multiple of 8/6 - 4/12 and d?
10
Suppose -10*j = -12 - 18. Let k = 10627/6 + -1777. Calculate the common denominator of 214/(-36) - j/(-1) and k.
18
Suppose 59 = 4*v - 0*v - 3*z, z = -v + 6. Let n = 383 + -375. Calculate the smallest common multiple of v and n.
88
Let v(x) = x**2 + 16*x + 70. Calculate the smallest common multiple of 33 and v(-14).
462
Let f = -533 - -535. What is the lowest common multiple of 346 and f?
346
Suppose 5*b = 5*b - 4*b. Suppose 5*t - 2 - 13 = b. Suppose -3*z = -z - 2. Calculate the smallest common multiple of t and z.
3
Let g = -1090/129 - -90784/10449. What is the common denominator of g and -41/189?
1701
What is the least common multiple of 282 and (-16)/48 + (275/3)/5?
846
Let i be 42/(-28) + (-33)/2. Calculate the lowest common multiple of 4 and (-1 - (-2)/4)/(1/i).
36
Let j(q) = 3*q**3 - 14 - 3*q**2 - 4*q**3 + 9*q - 6*q**2. Let f be j(-10). What is the lowest common multiple of 8 and (-1 - 23)*3/f?
72
Suppose 3*h - 31 = -i, -3*i + 1 = 3*h - 38. Calculate the lowest common multiple of h and 2*(-2)/(-8)*(-60)/(-1).
90
Suppose 0*m - 4*m + 4*g - 4 = 0, 0 = m + 5*g - 17. Calculate the common denominator of 12/7 and ((-360)/(-324))/(0 - m/(-8)).
63
Let b = -272 - -276. Calculate the smallest common multiple of b and 68.
68
Let s be (-2 - 60/(-28)) + (-1207)/21. Let v = 3511/66 + s. Calculate the common denominator of -89/18 and v.
198
Let n = 3 + -1. Let g = -3 + n. Calculate the smallest common multiple of 2/(1/(-7)*g) and 16.
112
Suppose -14*d + 90 = -8*d. Calculate the least common multiple of 48 and d.
240
Let n be ((-13007)/6)/((-5709)/9). Let b = n + 30/173. Calculate the common denominator of b and (4/48)/((-1)/(-65)) + -5.
132
Find the common denominator of 38/7 and (-1)/(-68)*86/215.
1190
Suppose 0 = 4*w - u - 31, 8 = -2*w - 2*u + 36. What is the smallest common multiple of w and 92?
828
Let x(p) = -p**2 + 10*p - 15. Let z(a) = 2*a**2 - 19*a + 29. Let l(h) = 11*x(h) + 6*z(h). What is the smallest common multiple of 6 and l(5)?
42
Let c = 285 + -198. What is the lowest common multiple of c and 6?
174
Suppose 0 = -6*t + t - 10. Find the common denominator of 133/18 and t/8*(-452)/28.
252
Suppose -l + 31409 = a - 6082, 5*a - 187455 = 3*l. Let p = -1912100/51 + a. What is the common denominator of 76/21 and p?
357
Let c = -15459/380 + 658/19. Suppose 2*i + 32 + 12 = -2*u, u - 4*i + 32 = 0. What is the common denominator of ((-292)/u - 2) + 2 and c?
60
Let h = 3502189/124 + -28243. What is the common denominator of 29/4 and h?
124
Suppose 0 = 6*b + 2486 + 6280. Let z = b + 5809/4. Calculate the common denominator of z and -137/12.
12
Let w(g) = -g**2 - 3*g + 7. Let k be w(-5). Find the common denominator of -35/9 and k/66*(3 + -31).
99
Let j(n) = -n + 7. Let k be j(4). Suppose -k*l + 5*l = a - 13, 2*l - 14 = -2*a. Calculate the smallest common multiple of a and 9.
9
Calculate the lowest common multiple of 40 and (-30)/10 + -4 + (-126)/(-2).
280
Let o be (-28)/(-1)*(-70)/4. What is the common denominator of o/21*(-6)/(-16) and (-2981)/(-528) + 2/12?
16
What is the common denominator of ((-100)/18)/((-21)/(2835/36)) and -13/88?
264
Let l be 1/(14/(-9452)) + (-3)/(-21). Find the common denominator of -23/27 and 1*8/36 + 303/l.
675
Let y(t) = 3*t - 46. Let q be y(24). Suppose -2*c + 16 = -h, -3*c + q - 2 = -3*h. What is the least common multiple of c and 4?
8
Let f = -204 - -267. What is the smallest common multiple of f and 56?
504
Let n(x) = -6*x + 261. Calculate the least common multiple of n(43) and 6.
6
Calculate the common denominator of 4/7 + (-33777)/(-11340) and -56/75.
300
Let y be 1/(-1) + 20/10. Calculate the least common multiple of 11 and 16/64 - -3*y/4.
11
Suppose -4*a - 5*u = 15, 2*u - 4 = -5*a - 27. Suppose 12 = -0*c + 2*c. Find the common denominator of (-4 - a)/(c/59) and 91/10.
30
Let z(d) be the third derivative of d**6/120 - d**5/12 + d**4/4 - 5*d**3/6 - 14*d**2. Calculate the least common multiple of 3 and z(4).
3
Let z be (3 - (-14)/(-4))/((-997)/(-2)). Let v = z - 42847/23928. Calculate the common denominator of v and 11/12.
24
Let b = -5107/310 + -4/155. Suppose 2*s = 3 + 5. Calculate the common denominator of s*(-12)/320*206/(-3) and b.
10
Let h = 41422897/200 + -207114. What is the common denominator of h and -73/20?
200
Let r = 19 + -14. Suppose q - 3*o + 13 = 0, 19 = -4*q + r*o - 19. Let l = q + 12. Calculate the smallest common multiple of 1 and l.
5
Let c(o) be the first derivative of -o**4/4 + 4*o**3/3 - 3*o**2/2 + 3*o + 7. Let h be c(3). What is the least common multiple of 22 and (h - 20/12)*6?
88
Let p(s) = -4*s + 166. What is the smallest common multiple of p(25) and 12?
132
Let a(r) = -r**3 - 10*r**2 - 7*r - 22. Calculate the least common multiple of 66 and a(-10).
528
Let y be (10/6 + -1)/(24/468). Let b = y - 2. Calculate the least common multiple of b and 5.
55
Let l(d) = -8*d + 6. Let w(v) = v. Let t(s) = 3*l(s) + 21*w(s). What is the least common multiple of 8 and t(4)?
24
Let m = -176 + 185. What is the lowest common multiple of m and 10?
90
Let t(k) = -7*k**3 + 2*k + 1. Let y be t(-1). Let c be (-22)/y*15/(-5). Suppose 6*q = c*q - 35. What is the lowest common multiple of 7 and q?
7
Let g(o) = o**2 + 8*o - 3. Let l be g(-9). Calculate the common denominator of ((-2)/l)/((-2)/(-147)) and 2073/(-180) - (-4)/(-10).
12
Let q = 4955/7 - 712. Let t = 6 - -21. What is the common denominator of (-12)/t + (3/1 - 6) and q?
63
Let k be (-2)/((-27687)/9231 + 3). Let w = 12377/4 + k. Let j = -323237/18 + 17963. What is the common denominator of w and j?
36
Let a = 68618/9 + -7632. Calculate the common denominator of (-76)/(-23)*(-7 - 530/(-80)) and a.
414
Calculate the common denominator of ((-58)/21 - 2) + 1 and ((-98)/(-5))/(756/60 - 9) - -2.
63
Let o(v) = -5*v**3 + 13*v**2 + 24*v - 4. Let i(j) = j**3 + j**2 - j - 1. Let d(y) = -6*i(y) - o(y). What is the lowest common multiple of d(-18) and 43?
430
Calculate the common denominator of (15/35)/1*(-5)/(-3) and 54/133.
133
Calculate the common denominator of (-43)/(-6) - 1/3 and (2/7)/1 + (-4510)/5544.
36
Suppose 5*c = -11 + 31. Calculate the smallest common multiple of 106 and (23 - c) + (2 - 5)*1.
848
Let m be (-1)/5*(3 - -35). Let b be 2/(-10)*(-906)/24. Let l = b + m. What is the common denominator of l and -11/6?
60
Suppose 4*k = h