- 14. What is the least common multiple of 2/(-4)*-2 - -21 and m?
22
Let l be 84/20 + (-2)/10. Suppose -3*a - 84 = -l*a. Calculate the common denominator of -5/2 and (-2)/7 - (-829)/a.
12
Let f = 12/245 - -6519/1960. Let j = 476 - 2873/6. What is the common denominator of f and j?
24
Let f = 4 + -1. Let a = 5 - f. What is the least common multiple of a and 1?
2
What is the common denominator of -42/23 and 207/(-44) + (-6)/(-24)?
253
Let c = -143 + 871/6. Suppose -3*h = -56 + 2. What is the common denominator of c and h?
6
Suppose a = -5*q - 26, -4*q - 23 = 4*a - a. Find the common denominator of -109/14 and (a - 1)*(-214)/(-24).
42
Suppose 4*b = -2*n, n - 3 = -5*b + 3. Calculate the smallest common multiple of 12*(-1 + b) + 2 and 22.
154
What is the lowest common multiple of (-144)/(-24) + 4/1 and 1?
10
Suppose 2*j = -3*k + 2, 7 = 3*j + 4*k + 3. What is the lowest common multiple of j and 22?
44
Suppose -3*t - 4*r = -5, -r = 3*t - 6*r + 13. Let b(s) = 10*s**2 - s. Calculate the least common multiple of b(t) and 1.
11
Let r(v) = v**2 - 4*v + 4. Let x be 6 + -2 + 2/2. Suppose 2*n = 4*z + 26, x*n - 5 = -z + 49. Calculate the smallest common multiple of n and r(3).
11
Calculate the common denominator of 2/(-8) + (-1450)/(-440) and 11/16.
176
Let j = 15 - 10. Suppose -4*t + 54 + 60 = 2*n, 3*n = -j*t + 145. What is the least common multiple of t and 22?
286
Let s = -2513/568 + 7/142. Find the common denominator of s and 53/7.
56
Suppose 6*g + 0*g - 96 = 0. Calculate the lowest common multiple of g and (4 - -1)*(-12)/(-15).
16
Suppose -4*t + 3*b = -227, 2*t + 5*b - 134 = -t. Let a = 3 + 6. Calculate the smallest common multiple of 4/10 - t/(-5) and a.
99
Let q = -6565/14 + 3250/7. Find the common denominator of -143/12 and q.
84
What is the lowest common multiple of 55 and (8/16)/((-1)/(-30))?
165
Suppose 6 = 4*q + 3*o - 11, 0 = 4*q - o - 5. Calculate the smallest common multiple of 16 and q.
16
Suppose 3*d = -1 + 16. Calculate the lowest common multiple of 11 and d.
55
Let x(r) = r + 4. Let w be x(-3). Let n = 4057/682 + -121/31. Calculate the common denominator of w - ((-37)/22 - 0) and n.
22
What is the common denominator of -57/8 and 6/21 + (-279)/168?
8
Let d = -71818 + 47969. Let i = -524775/22 - d. Let o = -2/971 - -22357/11652. Find the common denominator of o and i.
132
Let r = -7 + 15. Let c be (0 + 2 - 0) + 2. Let u = c + r. What is the least common multiple of 10 and u?
60
Suppose -9 = 2*p - 31. Calculate the lowest common multiple of 1 and p.
11
Let z(k) = 2*k**2 + 2*k - 4. What is the smallest common multiple of 2 and z(-3)?
8
Suppose 2528 = t + 3*t. Calculate the common denominator of t/(-30)*27/(-72) and 18/11.
110
Let b = -26 + -71. Let z = 5417/426 - -25/213. What is the common denominator of (-6)/22*b/(-6) and z?
66
Let y = 1393/5 - 8093/30. Calculate the common denominator of 6/(-15) + 214/(-140) and y.
42
Let m = 2252 - 4409/2. Calculate the common denominator of 23/7 and m.
14
Suppose q = 5*k + 35, -3*q + 2*q + 4*k + 30 = 0. Let i = 16 + -11. Calculate the smallest common multiple of i and q.
10
Let s = 214 + -1705/8. Find the common denominator of 99/4 and s.
8
Suppose -2*b - 3 = -l, 2*l - b - 17 = -5. Calculate the smallest common multiple of l and 9.
63
Let r = 19532567/10 + -1941604. Let t = r + -11641. Find the common denominator of 25/9 and t.
90
Let l be (-75)/10*8/(-6). Let j = 20 - l. Calculate the least common multiple of j and 1.
10
Let g = -197761/22 + 8991. What is the common denominator of g and 1099/(-84) + (-2)/3?
44
Let j(x) = -x**2 - 6*x + 11. Calculate the lowest common multiple of j(-6) and 21.
231
Suppose l = 2*u - l - 2, 4*u = -4*l - 4. Suppose -8*m + 7*m + 10 = u. Calculate the smallest common multiple of 2 and m.
10
Suppose -13*s - 2 = -15*s. What is the lowest common multiple of 2 and s?
2
Let d = -1191 + 8296/7. Let n = 373/14 - d. What is the common denominator of ((-118)/20)/((-12)/(-15)) and n?
8
Suppose -3*a = 2*r - 2*a - 2349, 3*r + 5*a = 3527. Let s = 3593/3 - r. Find the common denominator of s and 9/7.
21
Calculate the common denominator of (-1)/2*36/22 and -17/9.
99
Let u = 3 + -1. Suppose 16 = u*z - 6*z. What is the common denominator of (-296)/12*(-3)/z and -83/18?
18
Suppose -5*q + h = 4*h - 92, 0 = 3*q + h - 52. Suppose q = 5*c - c. Calculate the lowest common multiple of 6 and c.
12
Let o be 5979/(-468) - (-2)/4. Let h = 40/39 + o. Calculate the common denominator of -10*((-38)/(-16) - 2) and h.
4
Let l be 49322/(-12920) + 15/90. Let k = 4/4845 + l. What is the common denominator of k and (-69)/8 - 2/(-2)?
40
Suppose -3*a = 4*r - 44, 3*r - 12 = -a - r. Calculate the lowest common multiple of a and 8.
16
Let f = 49 - 32. Suppose 3*y = -5*v + 53, -5*v - f + 69 = 2*y. What is the common denominator of v/(-45) - (-1)/9 and 50/3?
9
Let n = 63 + -14. Let j = -15/499904 - -2490527353/187464000. Let i = -6/125 - j. Find the common denominator of i and n.
3
Suppose 0 = 3*q - 15, -2*h + 13 = h - 4*q. Calculate the least common multiple of h and 4/(-8)*0 + 1.
11
Let v = 43 + -11. Calculate the least common multiple of 14 and v.
224
Suppose 0*b - 5*o - 42 = b, b + 2*o = -30. Find the common denominator of 0 - 0 - 1308/72 and (6 + -2)/(b/19).
66
Suppose 0 = 3*m - 8*m. Let f = 1 - m. What is the smallest common multiple of 6 and f?
6
Find the common denominator of 31/14 and 311*1/66 + (-20)/(-60).
154
Let y = 2 + 4. Calculate the lowest common multiple of 3 and y.
6
Calculate the common denominator of 3/7 and (-234)/(-48)*20/(-6).
28
Suppose 2*n - 4*n = s - 4, -s = 0. What is the least common multiple of 6 and n?
6
Let w be (-145)/(-45) - (-4)/(-18). Suppose -w*x + 2*x - 5*l + 34 = 0, -5*x - 3*l + 60 = 0. Calculate the smallest common multiple of 4/((-1)/((-5)/20)) and x.
9
Find the common denominator of 2/3 + 99/(-270) and ((-3)/66)/((-2)/196).
110
Suppose 2*x = -2*x - 52. Let w = -7 - x. Suppose -4*o = 0, 2*y = o + 21 + 3. Calculate the smallest common multiple of w and y.
12
Let d(n) = n**2 + 6*n - 8. What is the smallest common multiple of d(2) and 14?
56
Let p(i) = i**3 - 4*i**2 + 3*i + 1. Let o be p(3). Let u(l) = l**3 - l**2 - 2*l + 1. Let q be u(o). What is the common denominator of 62/3 and (5/80)/(q/198)?
24
Suppose 0 - 9 = 3*a. Let t = -5 + 11. Calculate the lowest common multiple of (a/4)/((-3)/12) and t.
6
Let w be ((-51)/(-48))/((-1)/1194). Let q = w + 1266. Let z = -19985 - -399591/20. Find the common denominator of z and q.
40
Suppose -2*o = 4*d - 68334, 0 = 4*d - o - 2*o - 68339. Let q = -67883/4 + d. Let h = -131 + q. What is the common denominator of 3/8 and h?
8
Let y = 151 - 146. Calculate the lowest common multiple of 5 and y.
5
Let i = -18791/9 - -2095. What is the common denominator of i and 2/(-6) - (-91)/(-6)?
18
Let o = -336 + 3271/10. Calculate the common denominator of 7/4 and o.
20
Let n(t) = t**3 - 6*t**2 + 7. Let m be n(6). Let x = 4 + m. What is the smallest common multiple of x and 2 - -6 - (1 - -1)?
66
Suppose -4*c = t + 3*t - 52, 35 = 3*c + 2*t. Calculate the smallest common multiple of -2 + -4*(-12)/16 and (-1*2)/(-2)*c.
9
Suppose -6 = -5*p - 1. What is the smallest common multiple of 8 and p?
8
Suppose 3*w + v = -w + 89, -2*w = -4*v - 40. Suppose 71 = 3*k + o, k - 2*k + o = -17. Calculate the least common multiple of k and w.
22
Let b = 2414 - 21757/9. Find the common denominator of b and -3/7.
63
Let w be 0 - (-2)/4*0. Let f = w + 2. Suppose -2*b + 7 = -9. Calculate the lowest common multiple of f and b.
8
Find the common denominator of 97/8 and -53*(-3 - (4/(-24) + -3)).
24
Suppose 0 = -3*l + 4 + 5. Let k = -1 + l. What is the lowest common multiple of k and 4?
4
Calculate the common denominator of 41/72 and 3/(-15)*2 + (-1204)/440.
792
Suppose 5*d + 3 = 3*s - 7, -3*d + 3*s - 6 = 0. Find the common denominator of d - (-41)/(1 + -2) and (-203)/15 - (-1)/5.
3
Let l = 148 - 103. What is the smallest common multiple of l and 11?
495
What is the common denominator of ((-117)/17)/(-1) - 4 and 61/10?
170
Let b = -733/170 + 7/17. Find the common denominator of b and -113/12.
60
Let s(b) be the second derivative of -7*b**4/12 + b**2/2 - 2*b. Let j be s(-1). Find the common denominator of (j/15)/(8/(-21)) and -73/4.
20
Let g(j) = 3*j - 7. Let v be g(8). Let r = 122 - v