- 0*q + 23585. Let g = q + -51938/11. Let y = 23229/11 - 2108. Find the common denominator of g and y.
11
Suppose 160 + 314 = 79*w. What is the smallest common multiple of w and 12070?
36210
Let w(b) = b**3 + 11*b**2 + 13*b - 1. What is the lowest common multiple of w(-7) and ((-130)/(-8))/((-78)/(-312))?
520
Let i(d) = -10*d + 59. Let x be i(6). Calculate the common denominator of (x + 122/120)/((-3)/22) and 121/10.
90
Suppose -42*x = 22530 + 10398. Let d = 814 + x. Calculate the lowest common multiple of d and 321.
3210
Let c = 15 - 12. Suppose -2*z - 2*g = 30, 24 + 9 = -2*z - c*g. What is the common denominator of 59/16 and (-105)/32*(20/z - -1)?
16
Let s = 7825 + -7423. What is the smallest common multiple of s and 78?
5226
Let c = -21923/4 - -83243/20. Let b = c - -1309. What is the common denominator of (-27)/7 + -3 + 0 and b?
35
Let i(k) = -k**2 + 34*k - 40. Let g be i(32). Suppose v = 3*v - g. Calculate the least common multiple of 20 and v.
60
Suppose -15*z + 13*z = 180. Calculate the common denominator of -82/33 and (-46)/44*(-40)/z.
99
Find the common denominator of -5 - ((-776335)/3822)/41 and -37/156.
1092
Let c = 2651879/3319 + -799. Let s = -116069/159312 + c. What is the common denominator of 77/72 and s?
144
Let c be (-3)/8 + (-14608)/192. Let f = c - -208/3. Let j = 13 + -23. Find the common denominator of f and j.
8
Let g = 3766 - 41396/11. What is the common denominator of g and 1 - (-25)/(-4) - (23 - (9 - -20))?
44
Suppose 2*p - 3*p = -10. Suppose -p*t + 19*t = 648. What is the lowest common multiple of t and 60?
360
Suppose -v + 2*p = 26, -p + 7 = -4*v - 76. Let x = 10 + v. Let w(o) = o**3 + 10*o**2 + 10. What is the least common multiple of 1 and w(x)?
10
Let n = 20027 + -19755. Calculate the smallest common multiple of n and 1496.
2992
Suppose 0 = 5*a + y + 2341, -4*a + a - 3*y - 1395 = 0. Let z = a - -514. Calculate the smallest common multiple of z and 30.
90
Let b = -27530 - -1101121/40. What is the common denominator of b and (-1932)/(-72)*2/70?
120
Suppose -13*u + 10*u = 2*y - 192, -2*u + 128 = 5*y. Calculate the smallest common multiple of 20 and u.
320
Let n(t) = 5*t - 44. Let q(u) = 3. Let l(f) = -13. Let j(o) = 2*l(o) + 9*q(o). Let s(w) = 4*j(w) + n(w). What is the smallest common multiple of 3 and s(11)?
15
Let k(r) = 95*r - 1915. Calculate the smallest common multiple of k(21) and 1480.
2960
Let l(a) be the third derivative of -a**5/20 - a**4/12 + a**3 - 3*a**2. What is the common denominator of (-1)/3 - (254/18 - 8) and l(4)?
9
Suppose -3*c - 21 = 3*z, -16*c + 11*c = -2*z + 14. Calculate the smallest common multiple of 2 and z - (0 + -58 - (9 + -10)).
54
Let s = 23732 - 2135911/90. Calculate the common denominator of s and 19/216.
1080
Suppose 0 = -3*v - 2*s + 68, -4*v - 2*s + 353 = 259. Let d(y) = 1 + 0 + 0 + 2*y - 3. What is the smallest common multiple of v and d(6)?
130
Suppose -7*i + 2*i - 64*i + 828 = 0. What is the smallest common multiple of i and 42?
84
Find the common denominator of (7620/(-200))/(2016/40) and -48/11.
1848
Suppose 0 = -15*t + 22*t - 826. Suppose 0 = -22*o + t + 234. Suppose 2*d - d - 36 = 0. Calculate the smallest common multiple of o and d.
144
Let t = -217/214 + 198359/197094. Calculate the common denominator of -5/81 and t.
24867
Let o(r) = 111 + 107 - 3*r - 2*r**2 - 183 - 2*r**3. What is the smallest common multiple of 3 and o(0)?
105
Let b = 96515209 - 2315846401/24. Let n = 21615 - b. What is the common denominator of 139/24 and n?
24
Let t = -13851 - -498563/36. Calculate the common denominator of t and -67/1605.
19260
Let d(t) = -3*t**2 - t + 14. Let i be d(5). Let k = i - -68. Suppose 3*m = 10 + 2, -k*n + m = -60. Calculate the smallest common multiple of n and 16.
32
Let o be -4 + 2 - (-20)/5. Suppose 2*l = -o*q + 106, 2*l - 210 = q - 5*q. Suppose 4*z = -q + 76. What is the lowest common multiple of 11 and z?
66
Let t = 4194 - 4138. What is the lowest common multiple of 8 and t?
56
Let d = -2/1345 + -18764/44385. Find the common denominator of d and -89/136.
4488
Let y(m) = 5*m**3 - 20*m**2 + 9*m - 2. Let l be y(4). Calculate the least common multiple of 151 and (-5 + -1)/(-35 + l).
906
Let b = 548 + -319. Suppose 156 = d + 2*v, 4*d - b = -5*v + 392. Let h = d - 114. Calculate the smallest common multiple of 12 and h.
120
Suppose 0 = -10*a + 3*a + 21. Suppose -4*t + 12 = -j, -7*j = 5*t - a*j - 36. What is the common denominator of 21/4 and (-141)/21 - (-4 + t)?
28
Let w = -5473873/1978530 + -2/65951. Find the common denominator of -37/705 and w.
1410
Let l = -9/175 + 1562/33775. Calculate the common denominator of -18/5 and l.
965
Let n be (((-5432)/(-7))/(-4))/(-26). Let l = -1031/65 + n. What is the common denominator of l and -28/25?
25
Let q(k) = 7*k**2 + 26*k - 171. What is the smallest common multiple of 91 and q(15)?
12558
Suppose 0 = 3*p - 3*o - 1887, 4*p - 150*o + 153*o - 2565 = 0. What is the smallest common multiple of 336 and p?
17808
Let n = 160467/573020 + -6/4093. Let d = -4505/273 - 16054303/4368. Let a = d - -3696. What is the common denominator of n and a?
560
Calculate the lowest common multiple of 15 and (-8)/(-14) - 37398/(-483).
390
Let o = -1109243/14 - -79235. What is the common denominator of (-185)/(-119) - (-1 - -3) and o?
238
Let b be (1/(-2996))/((-8)/(-85607)). Let v be (-10)/64*((-59906)/(-7490) + -8). Let o = b + v. Find the common denominator of -62/5 and o.
35
Let z = -376 - -383. Suppose z*h + 296 = 5*j + 3*h, -3*h - 124 = -2*j. What is the smallest common multiple of 8 and j?
56
Suppose 225*l = -117*l - 42*l - 69*l + 4530. Let q(d) = -4*d**2 - 2*d**3 - 5*d + d + 1 - 3. Calculate the smallest common multiple of l and q(-2).
30
Let n = 15849/130 + -604/5. What is the common denominator of 33/592 and n?
7696
Let o = 23630 + -12010. What is the lowest common multiple of 18 and o?
104580
Calculate the common denominator of -9 + 9 - 79/6 and 0 - 6/(-63) - (0 + (-7076)/(-34608)).
1236
Let o = 14 - 34. What is the common denominator of -149/60 and 103/(-125)*50/o?
300
Calculate the lowest common multiple of 12 and 7 + 345/(-15) + 1630.
3228
Suppose -3*a + 3*q = -78, -4*a + 29 = 5*q - 57. Calculate the smallest common multiple of 1554 and a.
6216
Let m(l) = -6*l + 10. What is the least common multiple of ((-6)/5)/((-1)/5) and m(1)?
12
Suppose 0 = 5*q + 37 - 47. Suppose y + q = 14. Suppose n - 10 = -5*s, 3*s - 14 = -s - 2*n. Calculate the least common multiple of y and s.
12
Let o = 190 + -181. Suppose 0 = 5*g - 3*v - 4 - o, -8 = -2*v. What is the least common multiple of g and 36?
180
Suppose 2*t + w = 12, -2*w - 30 = -7*t + 2*t. Suppose 4*m - 180 = -t*m. Calculate the least common multiple of 46 and m.
414
Find the common denominator of 87/304 and 11 + 3 - 380562/26676.
2736
Let c = -1/301591065 - 31773523445401/7703842164360. Let o = -62866 - -200731140/3193. Let h = c - o. What is the common denominator of -17/24 and h?
24
Let l(t) = t**3 + 3*t**2 - 2*t + 2. Let s be l(-4). Suppose 0 = -36*r + 21*r - 10 + 370. Find the common denominator of -127/12 and ((-412)/s + 0)/(r/6).
12
Let f be (12/(-10))/(12/(-30)). Suppose 5*x + 3*k = 12440, -4*x = -f*x + 2*k - 2481. Let j = 10015/4 - x. Calculate the common denominator of -117/10 and j.
20
Let u(f) = 18*f**2 - 3*f. Let d be u(2). Suppose -x = -d + 52. Calculate the least common multiple of x and (-6)/5*(-20)/6.
28
Let h = 99 - 142. Let q = h + 40. What is the smallest common multiple of (-1 + (-1)/q)/((-2)/15) and 1?
5
Suppose 4*m + 1396 = 2*j, 9*j - 6*j = 3*m + 2082. What is the smallest common multiple of 4 and j?
1380
Let i(c) = c**3 + 6*c**2 + 3*c - 9. Let p be i(-5). Let k be p + (-17336)/(-20) + 8/(-10). What is the least common multiple of 7 and (10/3 + -2)*k/34?
238
Let b(h) = h - 12. Let y be b(12). Let i(n) = -23*n + 8. Calculate the lowest common multiple of i(y) and 8.
8
Suppose -353 = -10*v - 33. Suppose -h + t + 25 = -0*h, 0 = 3*t - 15. What is the lowest common multiple of h and v?
480
Let x = -3/5023 + 100523/105483. What is the common denominator of (-21)/(-14) + (-307)/180 and x?
1260
Let r = -2312 - -5102. What is the lowest common multiple of 270 and r?
8370
Suppose 0 = 3*x + 134 - 98. Calculate the common denominator of 15/68 and (-15)/x*(89/10)/(-1).
136
Let c = 150 - 77.