Suppose x + 9 = 3*y + 2, 3*y - 4*x = -8. Let k be -1164 + 0 + y - -4. Let a = -18547/16 - k. Calculate the common denominator of 47/22 and a.
176
Let n = 7189/2088 + 1/696. Find the common denominator of 79/16 and n.
144
Let r = 27 + -25. Let m = 28 + -17. What is the least common multiple of m and r?
22
Suppose 27*s - 119 = 10*s. Calculate the smallest common multiple of s and 1.
7
Let g = 1908 + -1897. Calculate the lowest common multiple of g and 1200.
13200
Let i = -38852 + 3030563/78. Calculate the common denominator of -49/15 and i.
390
Let x = 1557 - 6157/4. Let t = -272 - -410. Let s = 529/4 - t. What is the common denominator of x and s?
4
Suppose -2*t = -49 + 31. Suppose -252 = -t*o + 2*o. Calculate the lowest common multiple of 12 and o.
36
Let v(b) = b - 2. Let d = -6 + 18. Calculate the smallest common multiple of v(d) and (66/6 - 7)/((-4)/(-6)).
30
Calculate the common denominator of -5/16 and (-34668)/5856 + 12/2.
976
Let m = -2010 - -44179/22. Calculate the common denominator of -29/110 and m.
110
Suppose -4*h = 2*j - 8, -49 = 2*j + 2*j - 5*h. Let g = 1385 + -2865/2. Find the common denominator of (-184)/120 - (-4)/j and g.
10
Suppose 3*n = -11 - 46. Let b = n - -23. What is the smallest common multiple of b and 9?
36
Find the common denominator of 44/7 and (-4)/(2 + 0) - (-322)/529.
161
Let x = 635 - -941. What is the least common multiple of 14 and x?
11032
Let b(f) = -f**2 + 14*f. Let t(j) = 2*j + 52. What is the lowest common multiple of t(-17) and b(12)?
72
Let o(f) = -f**3 - 6*f**2 - f - 7. Let i be o(-6). Let c = i + 6. Suppose 2*l - 37 + 33 = 0. Calculate the smallest common multiple of l and c.
10
Let g = 158 + -246. Find the common denominator of 2/(-4) - 124/g and 73/2.
22
Suppose -2*m + 46 = 2*p, -3*m = -6*p + 11*p - 113. What is the least common multiple of p and 66?
66
Let o = 31 + -32. Calculate the common denominator of o/(-11)*(2 - -5) and -11/5.
55
Let g = -7/138 + 2657/690. Find the common denominator of g and (-387)/(-30) + (4 - 6).
10
Let g = -2 + 3. Let d = -2411/3 + 7288/9. What is the common denominator of d and (2/22)/(g/43)?
99
Let z = 3/2 + -47/32. Find the common denominator of z and -29/8.
32
Suppose 0 = -0*u - 4*u - 8. Suppose -5 = -5*m, -4*m = v + m + 38. Calculate the common denominator of 63/22 and -3 - v - u/4.
22
Let l = 7/9 + -25/54. Let v = -7745/254 + -1/127. Calculate the common denominator of l and v.
54
Let g(w) = -2*w**2 + 13*w - 17. Let j be g(5). Suppose 5*l = -o + 179, -l + 33 = -4*o - 7. Find the common denominator of ((-57)/l)/1*j and -33/10.
30
Let y = -122 + 859/6. Suppose -2*p + 58 = k, -p + 4*p = 3*k - 165. Find the common denominator of y and ((-120)/k)/(22/(-7)).
66
Let b be (22520/510)/((-2)/(-12)*4). Let c = 8842/153 - b. Calculate the common denominator of 27/14 and c.
126
Let b(r) = -r**2 - r + 22. Let w be b(0). What is the common denominator of -97/20 and w/(-55) - (-722)/180?
180
Let q = 317/360 - 13/72. What is the common denominator of 1/60 and q?
60
Calculate the common denominator of ((-5)/24 + 0)*5290/16675 and 43/14.
2436
Suppose 5*c = 428 - 273. Calculate the lowest common multiple of 7 and c.
217
Calculate the common denominator of (-6)/28*(-2 - 245/(-75)) and 113/10.
70
Let p = 945 - 604. Calculate the least common multiple of p and 5.
1705
Let w = -1554/53 + 42433/1590. Calculate the common denominator of w and 47/40.
120
Let o(b) = -7*b**3 + 1. Suppose -2*w = -7*w - 5. Calculate the lowest common multiple of 4 and o(w).
8
Let a = -555 - -8877/16. Let r be (-82)/(-6)*(-975)/10. Let t = -1381 - r. Calculate the common denominator of a and t.
16
What is the common denominator of 21/26 and -1 + 9/(225/(-160))?
130
Let f(x) = -x**2. Let p(t) = 4*t**2 - 3*t + 3. Let u(k) = 3*f(k) + p(k). What is the lowest common multiple of (-1760)/(-528)*((-1)/(-4))/(2/12) and u(2)?
5
Find the common denominator of (-3)/(-4)*7750/2232 and 115/42.
336
Let z = -11/10 + 263/30. Find the common denominator of 57/4 and z.
12
Let p = 1/126 - -430/63. Let l = -11483/6 - -1930. Find the common denominator of p and l.
6
Suppose 5*i = -t + 50, -8 = -0*i - 2*i + 2*t. Calculate the smallest common multiple of (-1 - 7)/4 - -17 and i.
45
Let b = -648/55 - -79/11. Calculate the common denominator of b and 72/45 - 1261/(-1040).
80
Suppose 0 = -18*z - 0*z + 180. Calculate the lowest common multiple of 98 and z.
490
Find the common denominator of (-8)/(-28) - (-26)/56 and (492/(-18))/(-2)*6/8.
4
Let w be (-6624)/10 + -8 + 7/5. Suppose -5*d + 650 = -0*b + 2*b, -2*b = 2*d - 254. Calculate the common denominator of (w/d - -4) + 2 and 23/4.
44
Suppose 3*q = 5*x - 70, -42 = -3*x + 3*q - 2*q. What is the lowest common multiple of x and 78?
546
Let v(o) = o**2 + 2. Suppose 3*g - 3 - 15 = 0. Suppose -6*d + g = -3*d. What is the smallest common multiple of d and v(3)?
22
Let c = -683 + 1299. Let v = c + -3094/5. Calculate the common denominator of 49/9 and v.
45
Let z(c) = -c**3 - 3*c**2 + 5*c + 6. Let q = 15 - 13. Suppose 0*h - 2*h = d + 14, 5*d = q*h - 10. What is the least common multiple of z(d) and 11?
22
Let u(t) = t**3 + 6*t**2 + 4*t + 6. Calculate the smallest common multiple of u(-4) and (-3*18)/(-3)*20/30.
132
Let j(t) = 2*t**2 + t - 33. What is the least common multiple of 8 and j(5)?
88
Suppose -2 = 2*k, -4*h + 4*k = -0*k + 416. Suppose -6*z + 2*z = -4. Calculate the least common multiple of 4/(-6) - h/9 and z.
11
Let m = 1/4732 + 119477/28392. Let w = 13/63 + 3439/126. Calculate the common denominator of w and m.
24
Let g be 20/(-30)*6/4. What is the common denominator of (-3*(-41)/12)/(-1) and (((-219)/(-10))/3)/g?
20
Let m(j) = -2121*j + 18. Let w be m(-8). Let r = w - 441537/26. What is the common denominator of 95/6 and r?
78
Let t be 24/(-20)*30/(-169). Let u be 4 + 15003/(-8112) + 2. Let q = u - t. Calculate the common denominator of -77/4 and q.
16
Let s = 22 - 12. Let l(p) = -p**3 + 19*p**2 - 3*p + 42. Let v be l(19). Let b = 7 - v. Calculate the least common multiple of b and s.
110
Let h(o) be the first derivative of 2 - 4*o - 1/2*o**2. What is the least common multiple of 8 and h(-8)?
8
Let j(b) = b**2 + 14*b + 5. Let z be j(-14). Let l(k) = k**3 + 5*k**2 - 6*k - 5. Let g be l(-6). Calculate the lowest common multiple of (2*g)/(z/(-10)) and 6.
60
Let u = -107 + 125. What is the smallest common multiple of 1 and u?
18
Let h be ((-160)/(-60))/((-2)/3). What is the common denominator of (2/((-36)/89))/(h/(-3)) and -71/18?
72
Let p = -963 - -1035. What is the least common multiple of 80 and p?
720
Let p(x) = -8145*x**3 + 4*x**2 - 3*x + 2. Let g be p(3). Let t = g + 2239159/10. Let k = t + -4022. Calculate the common denominator of k and -61/6.
30
Let r = 13209533/10 + -1323100. Let h = r - -2155. Calculate the common denominator of h and ((-6)/24)/((-3)/(-238)).
30
Let v = -236072 - -45325723/192. Calculate the common denominator of v and -117/10.
960
Let z(n) be the first derivative of -n**3/3 - 3*n**2 - 2*n - 4. Let f be z(-5). Suppose -2*p - f*p = -5. Calculate the lowest common multiple of 4 and p.
4
What is the common denominator of 1 - 2/(-18)*1 and (8 - 305/30) + 2 + 3?
18
Suppose -72 = -5*l + 248. Suppose 5*o + l = 3*p - 0*o, o + 56 = 3*p. Suppose -f + 60 = 2*f. Calculate the smallest common multiple of p and f.
180
Let l = 6880 - 6859. What is the smallest common multiple of l and 287/5 + 2/(-5)?
399
Suppose -2*l = -5*n - 152 - 209, 3*l = -5*n + 479. What is the smallest common multiple of l and 168?
168
Find the common denominator of -91/20 and (-440)/70 + 6 + (-1429)/(-4732).
3380
Let a(g) = g**3 - 13*g**2 + 13*g + 7. Let t = 114 + -102. Calculate the lowest common multiple of a(t) and 10.
190
Let m = -5499 - -65845/12. Let a = 75245/14 - 5380. Find the common denominator of a and m.
84
Let a = 398/5 + -3892/45. Let h = -58266 + 169029668/2901. Let k = h - 229195/23208. What is the common denominator of k and a?
72
Let w be 57/(-76)*(-4132)/6. Let d = w + -6347/12. Find the common denominator of d and 25/4.
12
Let l = 48 + -44. Suppose 0*k + 108 = l*k. What is the least common multiple of 21 and k?
189
Let c = 1578 - 1576. What is the least common multiple of 714 and c?
714
Suppose -202 = 2*q + 4*n, 0 = 4*q - 6*q - 2*n - 206. Let m be 3416/q*3/2. Let u = -63/10 - m. Cal