.
1940
Let n = 1/1207 - 25367/24140. Calculate the common denominator of n and ((-3)/2)/(90/(-102)).
20
Let j be (-1 + 2 + -2)*3. Let n(g) = -10*g + 3. Let y be n(j). Find the common denominator of ((-174)/y + 1)*-1 and -47/3.
33
Let q = 98231/11436 - 6/953. What is the common denominator of q and 97/16?
48
Suppose -4*z = -5*p + 9, -32 = -2*z - z - 4*p. Calculate the lowest common multiple of 2 and z.
4
Let f(d) = 2*d + 6. What is the lowest common multiple of 27/(-2)*(-8)/6 and f(2)?
90
Suppose -l - 4*b = -24, b - 4*b = 3*l - 72. Calculate the least common multiple of l and 8.
24
Suppose -p + 0 = 8. Let k be (-162)/p - (-1)/(-3). Let c = k + -2539/132. What is the common denominator of c and 61/8?
88
Let v = -641/26 - 102/13. Calculate the common denominator of v and 117/14.
14
Let c = -19 - -15. Calculate the common denominator of 81/40 + c/10 and 36/10 + 1/4.
40
Let k be 10/25 - 816/(-10). Calculate the common denominator of 8/(-56) - k/(-280) and ((-1)/33)/((-4)/78).
220
Let c = -1059282/11 - -96462. Let u be 0 + 163 + 1 + -1. Let h = c - u. Calculate the common denominator of -58/5 and h.
55
Let g = -1/484 - 14027/4356. Let t = 2270 - 24949/11. What is the common denominator of g and t?
99
Suppose 0 = 2*m - 0 - 4. Let g(d) = 5*d**2 - 2*d + 2. Calculate the smallest common multiple of 6 and g(m).
18
Calculate the common denominator of (3 - 1) + 564/(-96) and -85/26.
104
Let a(q) = q**3 + 2*q**2. Let z(t) = -t - 4. Let n be z(-3). Let m(s) = -1. Let x(g) = n*a(g) + 3*m(g). What is the smallest common multiple of x(-3) and 8?
24
What is the common denominator of (32/33)/(5/(-15)) and 83/6?
66
Find the common denominator of (-78)/(-120) - (-2 - 3) and 3/2.
20
Let s be ((-690)/4)/((-8)/(-266)). Let c = 5723 + s. Find the common denominator of (20/(-6))/((-24)/138) and c.
24
Let p = 23 + 9. What is the lowest common multiple of 44 and p?
352
Let w = 0 - -1. Let s = w + 7. Calculate the least common multiple of 1 and s.
8
Let l = 6143/2280 - -33/95. Calculate the common denominator of l and -93/2.
24
Suppose x = 2*x - 3. Suppose -x*w - 12 = 0, 0*w - 3*w + 30 = -3*n. Calculate the common denominator of 57/(-9)*(-12)/n and 47/4.
28
Find the common denominator of -5/7 and (-2 - -5) + 66/(-5).
35
Suppose 16*k - 13*k - 18 = 0. Calculate the smallest common multiple of k and 30.
30
Suppose 2*h - 7 = -3*g - 3, 0 = -4*h - 4*g + 12. Calculate the smallest common multiple of 3 and h.
15
Suppose 0 = y - 5*y + 16. Let f = -20 + 28. What is the smallest common multiple of y and f?
8
Suppose -j - f - 5 = -5*f, 4*j - 3*f = -20. Let n be 2/j + (-66)/(-15). Let q = n + 6. Calculate the least common multiple of q and 20.
20
Let f(h) = h + 3. Let j(x) = 4*x**2 + x. Calculate the smallest common multiple of j(2) and f(1).
36
Let y be (-1)/(-2) - (-366)/(-728). Let c = -139/910 - y. Calculate the common denominator of c and 13/2.
20
Let x = 750 + -1599/2. What is the common denominator of x and -13/16?
16
Let w = -22 + 36. Calculate the least common multiple of (4*1)/(4/w) and 6.
42
Let t = -26 - -37. What is the least common multiple of 2/5 - (-6)/10 and t?
11
Suppose 5*r + 982 = 4*i, 0*i + i - 3 = 0. Let o = 560/3 + r. Calculate the common denominator of o and (-53)/(-2)*2/8.
24
Suppose 2*w = 3*r + 19, -w = -6*r + 2*r - 12. Let o be -15*(0 - 2/6). Suppose 4*q - o = -1. What is the smallest common multiple of w and q?
8
Let c be (-10)/8 + 5/20. Suppose 0 = 6*v - 5*v + 1. Calculate the lowest common multiple of 6 and (1 + 1)*c/v.
6
Let b = -542 + 5994/11. What is the common denominator of 30/19 and b?
209
Let p = 222575/28 + -7950. What is the common denominator of 77/8 and p?
56
Suppose -3*q = q - d - 3306, -4*d = -q + 819. Let h = q + -13283/16. Calculate the common denominator of h and 73/22.
176
Let f = 201872087/3102 - 715608/11. Let n = 3/47 + f. What is the common denominator of n and -43/4?
12
Let v = 40 - 16. Let s(l) = l**2 - 7*l - 22. What is the lowest common multiple of s(10) and v?
24
Let n = 18 + 3. Calculate the lowest common multiple of n and 33.
231
Calculate the common denominator of 11/26 - ((-55)/(-20))/11 and 57/44.
572
Let c = 39/17 + -1689/136. Calculate the common denominator of -47/11 and c.
88
Suppose -3 = 3*j, 4*x = 2*j + 3*j + 13. Let u(p) = -2*p - p + x*p + 22. What is the least common multiple of 16 and u(0)?
176
Let y be (4 - 13)/(-1 + 0). Suppose 84 = 5*w + y. Calculate the common denominator of 42/w*-3 + -1 and -33.
5
Suppose 0 = 5*n - 27 - 93. Suppose 5*k = -2*y + n, 3*y = -3*k + 5 + 4. What is the smallest common multiple of k and 22?
66
Suppose 4*r = 6*r - 100. Calculate the lowest common multiple of r and 9.
450
Let d be 54823802/(-30) - 2/(-4). Let s = d + 1827296. Let i = s + 470/3. Calculate the common denominator of 35/18 and i.
90
Let z = -20 + 29. Calculate the common denominator of (-1 + 22/20)*z and 12/(-96)*(177 + 1).
20
Let b(r) = r + 18. What is the lowest common multiple of 18 and b(0)?
18
Let d = 4807333 + -105864585/22. Let j = d - -4695. Calculate the common denominator of j and 85/2.
22
Let t = 61227/20 + -3062. Calculate the common denominator of (-43)/(-7) - 2/(-4) and t.
140
Suppose 0 = 5*j - 2674 + 6969. Let q = 4261/5 + j. Calculate the common denominator of q and 20/11.
55
Let j(x) = 3*x**2. Calculate the smallest common multiple of j(4) and 30.
240
Find the common denominator of (2 - (-174)/(-44))*(-10 - -11) and 25/116.
1276
Suppose -o - 207 = -4*y - 53, 4*y + 3*o - 162 = 0. Let z = 2061/5 + -415. What is the common denominator of z and y?
5
Let c be ((-27)/15)/((-2)/50). Find the common denominator of 3/22 and ((-9)/c)/(16/(-245)).
176
Let g = 1006 - 8063/8. Let h = -369/77 - 1/14. Calculate the common denominator of h and g.
88
Suppose -4*l + 11 = -9. Let w = 4 + -4. Suppose 10 = 2*y - 5*s, 2*s - s - 2 = w. Calculate the smallest common multiple of y and l.
10
Let f = -26 - -44. Suppose -18 = -2*d + 14. What is the smallest common multiple of d and f?
144
Suppose 2 + 69 = f. Suppose j = 3*l - 3*j - 70, 5*j + f = 3*l. What is the least common multiple of 18 and l?
198
Let d = -1442 - -4279/3. Let y = 1196 - 4761/4. Calculate the common denominator of d and y.
12
Suppose 3 = 4*u - 13. What is the smallest common multiple of u and 82?
164
Let f(a) = -a**3 + 7*a**2 - 9*a - 9. Let d(q) = -q**2 + 5*q - 3. Let g be d(3). Calculate the lowest common multiple of (1 - -2)*2/g and f(4).
6
Let h(o) = -o**3 + 6*o**2 + 2*o - 4. Let i be (-9)/(-1)*(-10)/(-15). Let q(p) = -8*p. What is the least common multiple of q(-1) and h(i)?
8
Let x be (3903/20)/(3/(-58)). Let g = 3776 + x. Find the common denominator of g and -71/8.
40
Let a(f) be the second derivative of -3*f + 1/2*f**3 + 1/4*f**4 + 0*f**2 + 0. What is the lowest common multiple of a(-2) and 12?
12
Let f be ((-12)/10)/((-36)/(-840)). Calculate the common denominator of (-4 - f/(-44)) + 0 and 27/2.
22
Let n = -20 - -28. Let b = 20 + -12. Suppose -2*i - 4*o = n, -5*i + o + 5 = -b. What is the lowest common multiple of 3 and i?
6
Let c be ((-2173)/(-20))/(3/6). Let m = -411/2 + c. What is the common denominator of m and 29/3?
15
Let r be 2*((-9335)/1032 + 3). Let p = r + 72/43. What is the common denominator of p and -1/6?
12
Let h(c) = 22*c - 36. Let s = 16 + -8. What is the least common multiple of s and h(2)?
8
What is the common denominator of (1/2)/(68/(-296)) and -2/9?
153
Let w = 29223/11 - 2659. Find the common denominator of w and 64/9.
99
Let u(c) be the second derivative of 1/6*c**4 + 5/6*c**3 - 3*c + 0 + 0*c**2. What is the least common multiple of 14 and u(-4)?
84
Calculate the smallest common multiple of ((-36)/(-30) - (-8)/10)*9 and 8.
72
Suppose 5*x + 5*d = -10, -x + 3*d + 12 = -2. What is the lowest common multiple of x and 10?
10
Calculate the common denominator of 313/57 - (2 - -3) and -139/24.
456
Suppose -32 = -2*j + j. What is the smallest common multiple of j and 12?
96
Let q(z) = z + 7. Let x be q(-8). Let v = 5 + x. Calculate the least common multiple of 2 and v.
4
Let f(l) = -l**2 - 3*l + 5. Let k be f(4). Let u = -9 - k. Calculate the least common multiple of 12 and u.
84
Let o be -12*(904/(-6))/(-4). What is the common denominator of (1/4)/(18/o) and -27/14?
126
Let u = 22 + -6. Calculate the smallest common multiple of 20 and u.
80