4. Find the common denominator of z and -1/996.
2988
Let l(p) be the third derivative of p**6/120 + p**5/30 + p**4/24 + p**3 + 53*p**2. Let h(a) = -a**3 + 36. Calculate the lowest common multiple of h(0) and l(0).
36
Suppose -9 = -4*q + 123. Suppose 0*j - 15 = j - 4*u, -5*j + u = -20. Suppose j*t - t = -12, 4*t = 4*x - 144. What is the lowest common multiple of q and x?
33
Suppose -842*b + 957*b = 72810 - 2085. Calculate the lowest common multiple of 369 and b.
1845
Suppose 0 = 5*j - t - 24, -2*j - j = -4*t - 28. Suppose -j*y + 20 = y, -2*h = -4*y - 20. Calculate the least common multiple of h and (5 + 7)/(48/400).
900
Suppose 7*p - 203 - 21 = 0. Suppose -p*f + 3150 = -23*f. What is the smallest common multiple of f and 8?
1400
Let o(l) = -8*l + 83. Let i be o(6). Let m = 68 - i. Calculate the smallest common multiple of 54/12*(-44)/(-6) and m.
33
Let i = 965 - 963. Suppose 3*u + 23 = b, -i*b - 4*u = 18 - 94. What is the smallest common multiple of b and 184?
736
Let n = 1369396/75 + -18258. Calculate the common denominator of n and 32/3.
75
Calculate the smallest common multiple of (4 + (-49)/(-21) - 7) + (-15176)/(-12) and 237.
3792
Let g = 56 + -62. Let a = 27 - 21. What is the lowest common multiple of ((-27)/g)/9*8 and a?
12
Let u(n) = -2*n**2 - 25*n + 200. What is the lowest common multiple of u(-16) and 88?
88
Suppose -v - 4*b = -1 - 3, 3*v - 5*b - 63 = 0. Suppose o + 40 = 2*c - v, -89 = -3*c + 4*o. What is the lowest common multiple of 6 and c?
54
Let g(o) = 32*o**2 - 102*o - 13. What is the lowest common multiple of g(4) and 1833?
12831
Let v = -1/930444 - -76733/820980. Find the common denominator of 131/60 and v.
3060
Let n be (-1316)/22 - 17/(1122/12). Find the common denominator of (-16)/n*(-83)/(-8) and -55/42.
210
What is the common denominator of 98710/(-20700) + 5 - 2/10 and 53/48?
3312
Let v = -327 + 327. Suppose v = 7*p - 105 - 21. Calculate the lowest common multiple of 62 and p.
558
What is the common denominator of (-1 + 4350/4274)*-9*(-19)/342 and -3/11?
23507
What is the common denominator of (632/56)/(12/(-14)) and (-10 + (-705)/(-72))/(1/(-76))?
6
Suppose 9*w = 1092 - 849. What is the lowest common multiple of w and 276?
2484
Suppose 264*b + 6084 = 277*b. Calculate the least common multiple of b and 52.
468
Let g(i) = i**2 - 17*i - 85. Let r be g(-16). Let w = r + -192. Calculate the lowest common multiple of 4 and w.
1004
Let j(n) = -30*n**2 + 329*n + 22. Calculate the lowest common multiple of j(10) and 260.
1560
Suppose p - 3*r + 59 = -4*p, 4*r = -5*p - 38. What is the least common multiple of (18/p*-1)/((-18)/(-390)) and 104?
312
Suppose -2*j - 3*s = -98, 13 - 81 = -2*j + 2*s. Calculate the lowest common multiple of 44 and j.
440
Calculate the lowest common multiple of 928 and 56/(-8)*-148 - (9 + -17).
8352
What is the least common multiple of 336 and -11 - (-749)/(28/4)?
672
Let i = 965 + -993. Calculate the common denominator of (9/(-40))/(4/(-50)) and (-4)/i*2*(-11)/4.
112
Let a be (-35)/3*60/(-14). Calculate the common denominator of (-86731)/49450 + 4/a and -4.
46
Let g(f) = f**3 - 6*f**2 + 10. Suppose -2*j + 3*j = -5*w + 178, 136 = 4*w + 4*j. Suppose -9*r = -3*r - w. Calculate the lowest common multiple of g(r) and 11.
110
Let m = 12935/4626 + 1/6939. Suppose -4 + 45 = k - 4*a, 0 = 2*k + a - 46. Find the common denominator of k and m.
54
Suppose 0*a - 4*a = 312. Let p = 26 + -15. Calculate the lowest common multiple of 3/(-4) + a/(-8) and p.
99
Calculate the common denominator of -63/1780 and (-31716)/2848 + (-1188)/(-108).
3560
Find the common denominator of 7/20 and ((-63)/(-5796))/(6/(-236)).
1380
Let c(u) = -105*u + 1475. What is the least common multiple of c(13) and 143?
1430
Let q = -279378551/44642 - -106389/17. Find the common denominator of q and 127/12.
15756
Let o = -29298173760108337/15389150225779200 + 102/30827624651. Let d be (15/5250)/(3072/28). Let a = d - o. Calculate the common denominator of 101/16 and a.
208
Calculate the lowest common multiple of 30 and (1575/(-280))/(-2 - (-116)/64).
30
Suppose -329*i + 11020 = -153*i - 156*i. What is the smallest common multiple of 2755 and i?
2755
Let j = -1045410689/852 + 1227008. What is the common denominator of 74/2769 and j?
11076
Let k = -24 - -34. Suppose 6*a = -k*a + 176. Calculate the least common multiple of a and 5.
55
Suppose 36*v = -4*y + 38*v + 3214, 2427 = 3*y + 4*v. What is the least common multiple of y and 1035?
7245
Let a = 58165 + -6398107/110. Find the common denominator of a and -43/496.
27280
Suppose 18*a + 8135 = 62351. Let f = a - 54161/18. Find the common denominator of f and -38/15.
90
Let s be 11/(116/38 + (0 - 3)). Calculate the lowest common multiple of 45 and (-1136)/(-38) - (-22)/s.
90
What is the common denominator of -27/74 and (30/(-135))/(64/72)*26/(-8)?
592
Let c be 4 - (12/(-16))/((-3)/12). Calculate the least common multiple of 7 and ((966*c)/(-7))/(-2).
483
Let z = -19098/68455 + 112833211781/11774260. Let o = -9583 + z. What is the common denominator of (65/(-546))/((-1520)/(-30856)) and o?
516
What is the smallest common multiple of (-3 + 4)/(7 + -3*1336/576) and 24?
24
Let x = 1915373/56 + -34205. Find the common denominator of x and 113/2520.
2520
Suppose 4*t = -172 - 20. Let x = -169064521/17057887 - 9/84029. Let f = -72/29 - x. Find the common denominator of t and f.
7
Let c(o) = -o + 20. Suppose -7*v + 5*v = -22. Suppose -v = -8*a - 3. Calculate the smallest common multiple of c(0) and a.
20
What is the common denominator of ((-29)/(-6))/(2310/297 - 7) and -101/3490?
24430
Let y be (0/2*16/(-48))/(-2). Suppose y = 2*a - w - 63, 7*a - 4*w - 162 = 2*a. Calculate the lowest common multiple of 25 and a.
150
Let h = 559 + -2319. Calculate the common denominator of (-3234)/h + (-2)/5 and 101/72.
144
Suppose 148 = -q - 5*o, 0 = -37*q + 33*q - o - 687. Calculate the common denominator of 77/6 and 6/(-10)*q*2/72.
60
Suppose 1 = 2*h + 2*r + r, -3*h + 18 = -r. Suppose 86 = h*x - 4*s, 4*s - 6 = -2. What is the least common multiple of 70 and x?
630
Find the common denominator of 71/54 and (-98)/12*15/((-120)/(-16)).
54
Suppose -1126 = -5*g + t + 229, 4*t = -g + 292. Calculate the least common multiple of 24 and g.
816
Suppose -c = 3*f + 2*f + 1042, -2*f - 4*c - 424 = 0. Let k = f + 120. What is the common denominator of -121/36 and (0 - (-2)/(-24))/((-4)/k)?
36
What is the lowest common multiple of 128 and 3400/51*(52/10 + 16/(-40))?
640
Let b = -2541 - -27992/11. What is the common denominator of b and (-165)/(-82)*41/123?
902
Let l = 1727/5 - 7223/20. Suppose -9*q + 4*q + 5 = 5*h, -h + 16 = -4*q. Find the common denominator of l and q/(-5) - (-417)/(-1320).
88
Let n be 45/15*1*(-3 + 2). Calculate the common denominator of 717/(-90) + 9 - 1/n and -26/93.
930
Let r = 14453/8 - 1803. Find the common denominator of r and 56/406*136/(-256).
232
Suppose 104*r + 44*r = 39*r + 654. Suppose 2*p + 2*p - 180 = 0. Suppose p = v + 6. Calculate the least common multiple of r and v.
78
Let d = -169 + 177. Calculate the common denominator of d/12*27/24 and -22.
4
Let s(d) = 2*d**2 - 24*d - 16. Suppose 3*u - 34 = -22. Let i be (u/(-10))/((-24)/780). What is the smallest common multiple of s(i) and 6?
30
Let j(b) = -b**3 - 20*b**2 + 21*b + 6. Suppose x + 16*t - 40 = 21*t, 3*x - 184 = -t. Calculate the smallest common multiple of j(-21) and x.
60
Let i be -1 + (-619)/(-4)*2. Let v = -1582/5 + i. Calculate the common denominator of (0 - -2)/((8 - 7)/(86/(-24))) and v.
30
Suppose -6*o + 397 = -1427. What is the least common multiple of o and 570?
4560
Let m(y) = 5*y**3 - 5*y**2 + 4*y. Let f be m(2). What is the common denominator of ((-8)/f)/(432/(-4172)) and 149/54?
54
Suppose 82 = 3*f - 8. Let g = 43 - 37. Let y(o) = o - 4. What is the smallest common multiple of f and y(g)?
30
Let d = 35 + -33. Let m(q) = q**3 - q - 19 + 7*q**2 + d*q**2 + 13. Calculate the least common multiple of m(-9) and 20.
60
Suppose -4 = -2*d, 6*y - 9*y + 4*d + 10 = 0. Let f(n) = n**2 + 2*n - 18. Calculate the least common multiple of y and f(-11).
162
Let c(v) = 2*v**2 + 56*v + 70. Let r be c(-28). Find the common denominator of r/(-5)*-1*(-2)/48 and 74/3.
12
Let i = 221894 + -39941021/180. Calculate the common denominator of -99/20 and i.
180
Suppose 