
What is the least common multiple of 14 and (-8)/12 - (-1)/(6/52)?
56
Let n = 127405/2786 - 641/14. Let l = -6423990 + 10226983611/1592. Let y = l + n. What is the common denominator of -137/6 and y?
24
Let s(f) = -5*f - 6. Let o(t) = -t**3 + 5*t**2 + 6*t - 7. Suppose -5*l + 3*l = -12. Let g be o(l). What is the common denominator of s(g) and 35/9?
9
Suppose -v + 12 = -0*v. Calculate the lowest common multiple of (16/v)/((-1)/(-3)) and 12.
12
Let j = -4717/4 + 1188. Find the common denominator of 67/2 and j.
4
Suppose q = 7 - 4. Calculate the least common multiple of q and 10.
30
Suppose 3*o - 4*o = -1. What is the lowest common multiple of 24 and o?
24
Suppose -10*z + 13*z = 18. Calculate the smallest common multiple of z and 20.
60
What is the common denominator of (7/(-22))/((-10)/60) and 1/4?
44
Suppose v - 140 = -0*v. Suppose -d + v = 4*d. What is the lowest common multiple of 12 and d?
84
Let s = -28/53 + 6443/12296. Let i = -4117/232 + s. Calculate the common denominator of -27 and i.
4
Let b = -3091/8 - -384. Find the common denominator of 13/9 and b.
72
Suppose 7*l - 2*l - 22332 = -4*g, -4*g + 22356 = -l. Suppose 2*x + g = -4110. Let c = x + 77623/16. Calculate the common denominator of -17/6 and c.
48
Suppose 2*p - 4*p + 112 = 0. Suppose -p = 5*b - 161. Suppose -5*g + 4*k = -b, 0*g - 22 = -5*g + 3*k. Calculate the smallest common multiple of 10 and g.
10
Let o be 1/((-54)/26 - -2). Let q(p) = p**3 + 13*p**2 - p + 15. Calculate the smallest common multiple of q(o) and 14.
28
Suppose 2*p = -2*p + 20. Find the common denominator of (p/(-1))/(24/(-28)) and 122/6*(-3)/2.
6
Let k(z) = 5*z**2 - 3*z. Let v be k(2). Calculate the common denominator of 11 and v/6*54/3.
1
What is the common denominator of (-6)/(-12) - (-237)/(-60) and 79/10?
20
Let l = 286 + -1397/5. What is the common denominator of l and -23/10?
10
Let f be -3 - 0 - -3 - 1347. Let k = f - -9405/7. What is the common denominator of -35/6 and k?
42
Suppose -4 - 2 = -j. Let g = -66 - -68. What is the least common multiple of j and g?
6
Let x(w) = w**2 - 2*w + 3. Let y be x(3). Let f = 16 - 4. What is the least common multiple of f and (-4)/(1 - y/5)?
60
Let j be (-1)/((-888)/(-1508)) - 0. Let g = 5/37 - j. Find the common denominator of -29/7 and g.
42
Let k(z) = 2*z - 2. Let m(s) = -s**2 + s + 10. Let o be m(0). Calculate the lowest common multiple of 2 and k(o).
18
Let j = 21170 + -40463/2. Let m = 918 - j. Find the common denominator of -6/7 and m.
14
Let l = 30 + -6. Suppose 7 = s + 5*b + l, 19 = 3*s + b. Calculate the lowest common multiple of s and 4.
8
Find the common denominator of 131/6 and 2 + -2 - 3/(144/354).
24
Let n(x) = -x. Let l be n(-4). Suppose -3*t = -6*t + 6. Suppose -t*i - 18 = -l*i. What is the least common multiple of i and 1?
9
Let m be (-15)/(-6) - (-3)/(-6). Suppose -m*c + 8 = -0*c. Calculate the smallest common multiple of 12 and c.
12
Let v = -1 - 1. Calculate the common denominator of -109/10 and (-333)/(-66) + -1 + v.
110
Let g be 2*(-2 - (-6)/1). Let y = -1 + g. What is the lowest common multiple of y and ((-10)/3)/(2/(-6))?
70
What is the common denominator of -15/7 and (-6)/14 - (24/14)/4?
7
Let a = -4/3431 - 339637/27448. Let h = -5/18 + 529/90. What is the common denominator of a and h?
40
Find the common denominator of -25/6 and 10/75 + 371/30.
6
Let r = 35/39 + -3073/78. Calculate the common denominator of (-6)/(-16)*(-79)/3 and r.
8
Suppose -27 + 7 = -5*z. What is the smallest common multiple of z and (-6)/(-27) - 52/(-9)?
12
Let y(m) = m**2 - 2*m - 5. Let d be y(4). Let k = d - -1. What is the smallest common multiple of k and 11?
44
Suppose -5*l + 4*x = -x - 45, 2*l + x = 33. Suppose 56 = 5*m - 4*p, 3*p = -4*m + 6*p + 45. What is the least common multiple of l and m?
84
Let k be 161/(-87) + 4/2. Let j = -2/121701 + 40310153/4705772. Let s = k - j. Find the common denominator of -13/12 and s.
12
Let q(r) = r**2 - 5*r + 2. Let c be q(6). Suppose 6*o - c = 2*o. Calculate the least common multiple of o and 12.
12
What is the common denominator of -45/7 and 1 - ((-234)/(-33) + -4)?
77
Let i be (1 - -3)/(4/2). Let y = i + 18. What is the lowest common multiple of 22 and y?
220
Let t be -1 - (1/1 - -2). Let a(b) = 2*b**2 + 3*b - 4. Suppose -4 = -5*y + 3*y. What is the smallest common multiple of y and a(t)?
16
Suppose 0 = -2*i + 15 + 1. Suppose 3*f = -i + 53. Let v = f + -8. What is the least common multiple of v and 9?
63
Let x be (276/(-14))/(1/(-7)). Suppose 4*a = x + 22. Suppose 3*w + w + 4*m = a, -3*w - 4*m = -34. What is the lowest common multiple of w and 2?
6
Suppose 4*l + 3*t - 75 = 0, -t + 0*t + 91 = 5*l. What is the least common multiple of 10 and l?
90
Calculate the lowest common multiple of (6/(-7))/(7/(-49)) and 38.
114
Suppose 0 = -2*w + 7*w - 35. Suppose -2*r = r - 39. Let v = w + r. What is the lowest common multiple of v and 10?
20
Suppose -3*d + 28 + 26 = 0. Calculate the common denominator of 4 + -2 - (-87)/d and 79/22.
66
Calculate the least common multiple of 40 and (-2 + -1)/(-3 + 57/20).
40
Suppose 0*z - 16 = -4*r + 2*z, -2*z = 4*r - 24. Let j(t) = -t**2 + 13*t - 14. What is the smallest common multiple of j(11) and r?
40
Let y(f) = -f**2 - 3*f - 2. Let q be y(-2). Let h = q - 6. What is the least common multiple of (12/(-10))/(h/45) and 11?
99
Let z(b) = -b**3 + 8*b**2 - 8*b - 6. Let n be z(6). Let j = n + -8. Calculate the least common multiple of 1 and j.
10
Suppose 0 = -b + 3*b - 6. Suppose -3*n + 1 = 4*s, -b*s - n - 2*n = 0. What is the smallest common multiple of 11 and s?
11
What is the common denominator of (3/(-16))/((-52)/2240*-4) and 28?
52
Let n be 4 - -1 - 2*1. Let o(p) = 2*p**2 - 2*p - 4. Calculate the smallest common multiple of o(n) and 5.
40
Let h be 3 - 2 - (19 - -3). Find the common denominator of ((-19)/(-6))/(7/h) and 133/6.
6
Suppose 3 = w - 17. Let x = 3 + -1. Calculate the lowest common multiple of x and w.
20
Calculate the common denominator of (-48)/288 + (-1 - 79/(-15)) and -74/21.
210
Calculate the common denominator of (-115)/(-24) + (-21)/(-56) and -93/2.
6
Calculate the common denominator of -44/5 and 10/12*39/15.
30
Let p = -131/9 + -52/9. Find the common denominator of p and -46/9.
9
Let n = -487 + 995/2. What is the common denominator of 47/13 and n?
26
Suppose -3*q + 30 = 2*q. Suppose 0*c = -b + 2*c + 18, -c + q = b. Suppose 19*u - 70 = 12*u. Calculate the least common multiple of u and b.
10
Let y = 5352/11 + -489. Calculate the common denominator of y and ((-402)/(-4))/(4 - -8).
88
Let h be 8/4 + 21/(-18). Let r = 7/3 - h. What is the common denominator of r and (71/(-12))/(3/(-4))?
18
Suppose -x + 2487 = -2*j, -5*x + 15333 = -5*j + 2918. Let a = 17404/7 - x. What is the common denominator of 31 and a?
7
Suppose 4*y = -q + 62, 3*q + 22 = 2*y - q. Let l = y + -5. What is the lowest common multiple of 8 and l?
40
Let c be (-2)/(-3 - (-10)/4). Calculate the smallest common multiple of 7 and c/20 + 8/10.
7
Let d be ((2 - 4)/(-2))/(-232). Let z = d + -1853/696. Calculate the common denominator of 27/8 and z.
24
Let c = 8 + -5. Let p = 49/4 + -12. Find the common denominator of p and c + 0 + (-282)/27.
36
Let k = -10 + 28. What is the least common multiple of k and 14?
126
Let i = 74723605/9 + -8332826. Let w = i + 31552. Let y = w - 1344. Calculate the common denominator of y and -7/2.
18
Suppose 15 = -5*y, -y = 4*b + 5 - 74. Let l(c) = 2*c**2 - 2 + 1 + 3 - 6*c. Calculate the least common multiple of l(4) and b.
90
Find the common denominator of (-6)/(-6) + 262/(-36) and 1 + 61/(-22) + 1.
198
Suppose -p + 3 = 2. Let a be p - 6/1144*4438. Let x = a - -328/13. Find the common denominator of x and -43/14.
154
Suppose -3*x = d - 19, 3*x - 13 = 3*d + 2*d. Suppose -4*r = -x*r. Find the common denominator of -46/9 and (-91)/(-105)*(r - -9).
45
Let f(s) = -s**2 - 14*s + 23. What is the least common multiple of 20 and f(-15)?
40
Let a(f) = f**2 - 2*f + 4. What is the lowest common multiple of 11 and a(3)?
77
Let w = -11711/10 - -1170. Calculate the common denominator of 41/5 and w.
10
Let d = 678752/35 - 19391. Calculate the common denominator of -91/15 and d.
105
Let f = 570357/38 - 15007. What is the common denominator of -57/10 and f?
190
Let s be 4/6 + (-86)/(-6). Let m be 444/s - (-4)/10. 