st common multiple of 45 and (-29128)/(-72) + (-64)/(-144)?
405
Let d(i) = 8*i - 1. Suppose -2978*m + 5*o = -2977*m - 7, 5*o - 3 = -4*m. What is the least common multiple of m and d(3)?
46
Let z be (2/5)/((-16)/3680). Let l(d) = -83*d - 1. Let v be l(1). Let i = v - z. What is the smallest common multiple of i and 22?
88
Let o be 21/(39/(-6) - -8). Suppose -54 + 26 = -o*d. What is the smallest common multiple of 46 and d?
46
Suppose -x + 3 = 9*i - 4*i, 15 = 5*x + 3*i. Suppose x*a = -2*f + 54, -2*f = 3*f - 2*a - 135. What is the smallest common multiple of f and 24?
216
Suppose 8236 - 81127 = -o. Let n = o - 3936227/54. Find the common denominator of -83/42 and n.
378
Let c be (-75)/6*(-6)/(1 - -2). Suppose -5*k + b + 7 = 0, 2*b = 5*k + 7*b - c. Calculate the lowest common multiple of k and 132.
132
Let a = 7761 + -6947. Calculate the lowest common multiple of 143 and a.
10582
Let i be (1 + -6)/5 + 1. Suppose -2*q = -q - 4, -d + 5*q + 25 = i. Calculate the smallest common multiple of d and 3.
45
Calculate the common denominator of 19/1004 and (-22)/99*-94*(-6)/64.
6024
Suppose -5*n = -3*i - 0*n - 28, i + 5*n - 24 = 0. Find the common denominator of (86/(-58))/(2 + i) and (-6758)/(-218) - 2/(12/(-9)).
58
What is the smallest common multiple of ((-7)/((-35)/(-10)))/(9/(-2106)) and 78?
468
Let v(k) = 2*k - 41. Let l(o) = -o + 20. Let y(p) = 7*l(p) + 3*v(p). Let r be y(18). Calculate the least common multiple of 6 and -1*11/r*(22 - 11).
726
Let v(i) = -3*i + 21. Let l be -1*(6 + -2) - -2. Calculate the smallest common multiple of v(l) and 24.
216
Find the common denominator of 27/77 and (-13 + 14 + 550/(-538))/(182/52).
20713
Let s = 48 + -31. Let r = -109 + s. Let c = 122 + r. Calculate the least common multiple of c and 21.
210
Calculate the common denominator of 41/1080 and (-14)/(-72)*(-25220)/(-2730).
1080
What is the common denominator of (-7 - (-10 + -12 + -8))/(-416) and -95/1248?
1248
Let w = 4505 - 4233. What is the least common multiple of w and 680?
1360
Suppose -23*j = 15*j - 456. What is the least common multiple of (-5075)/(-49) - (j/(-7))/4 and 65?
520
Suppose m - 90 = 2*g - 55, 0 = 2*m + 2*g + 8. What is the smallest common multiple of (-1)/((-3)/(8 + 1)) and m?
9
Let n = -22695503 - -279608597113/12320. Find the common denominator of n and 75/4.
12320
Suppose 0 = -34*i - 6*i + 16400. Calculate the least common multiple of i and 984.
4920
Suppose -794*a = -798*a + 56. Suppose -11*g + 15 = 3*k - a*g, 4*k - 5*g = 15. Suppose 2*v = -15 + 47. What is the least common multiple of v and k?
80
What is the common denominator of -23/12 and 420/28 + (-983345)/65604?
5964
What is the common denominator of (-2)/5 - 95/(-722) and -68/15?
570
Let x(w) = 2*w**3 - 17*w**2 + 4*w - 6. Let u be x(8). Let v be 1/(-3)*(6 + -10 + u). Suppose 89*m = 88*m + v. Calculate the least common multiple of m and 4.
28
Suppose 17*h - 225 = 5*k + 12*h, -4*h = -k - 54. What is the common denominator of -97/42 and -14*-7*(-7)/k?
42
Suppose 0 = -j - 3*z + 110, 0 = j - 110*z + 107*z - 152. What is the smallest common multiple of 8 and j?
1048
Let o(w) = 3*w**2 - 14*w - 16. Suppose 5*k + 2*r = 29, -2*k - 4*r + 2 = -0. Calculate the lowest common multiple of o(k) and 51.
561
Suppose -31 = -5*n - 11. Suppose -2*v + 0*i - n*i = -8, 5*v = -i + 29. Suppose 0 = 16*s - 15*s - v. What is the least common multiple of 8 and s?
24
Let t be 24/2*(-5)/(-20). Suppose 0 = -2*c - u + 52, 3*c = -t*u - 20 + 104. What is the least common multiple of 32 and c?
96
Let t = -9415 - -9881. Calculate the least common multiple of 12 and t.
2796
Calculate the common denominator of 113/440 and ((-1)/(110 + 0))/(40/(-145)).
880
Let r = 10286 + -4299551/418. What is the common denominator of -21/76 and r?
836
Suppose 121*z + 92597 = 723452 + 306290. Calculate the lowest common multiple of 15 and z.
23235
Suppose -4*v - 10188 = -f + v, 40710 = 4*f + v. Let r = f - 19969/2. Let s = r - 2007/10. What is the common denominator of s and -37/2?
10
Let r(o) = 4*o + 6. Let b be r(-6). Let n be 40/b + 2/9. Calculate the smallest common multiple of (0 - 9/(-3)) + n and 6.
6
Suppose -r + 0*r + q = -225, -2*q = 5*r - 1097. Let m(h) = -106*h + 328. Calculate the lowest common multiple of m(3) and r.
2210
Let w(p) = 3*p**2 + 11*p + 8. Let s(d) = d**3 + 5*d**2 + 6*d - 3. Let r be s(-3). Calculate the smallest common multiple of 188 and w(r).
188
Let o = 93420 - 14386577/154. What is the common denominator of o and 2/77?
154
Let z = 2/10934741 + 373651034667/240564302. Let j = z - 1554. Calculate the common denominator of j and 93/8.
88
Let k = 2741/104 + -1848/65. What is the common denominator of k and (-2)/16 + (-605)/176 + 0?
80
Let k(j) = -65*j**2 + 1. Let b be k(1). Let y = b + 67. Suppose -y = -4*v + 13. What is the least common multiple of 16 and v?
16
Suppose w + 3*b - 3 - 12 = 0, -4*b + 45 = 3*w. Suppose -5*c - w = -70. Suppose 10*o + 2 = c*o. Calculate the smallest common multiple of 8 and o.
8
Let r(j) = 3*j + 109. Suppose -o + 4*y - 41 = 0, 3*y - 14 = 5*o + 140. What is the smallest common multiple of r(o) and 196?
2156
Let p = -5/59 + -1879/2891. Find the common denominator of -33/392 and p.
392
Calculate the lowest common multiple of -3*(-8)/276 - (-56718)/4761 and 24990.
49980
Let j = 655392/4259717 + -28/12419. Let n = j - -37553/3430. Find the common denominator of n and -27/50.
50
Let x = 6721 - 6581. What is the smallest common multiple of x and 210?
420
Let l(i) = -9 + i**3 - 1 - 13*i**2 - 2*i**3 + 16*i - 8. Let g be l(-14). Let b = g + 82. What is the lowest common multiple of 18 and b?
36
Let d = 18824 + -17624. Calculate the lowest common multiple of d and 16.
1200
Let j(f) = -25*f - 3. Let x = 644 + -578. What is the lowest common multiple of j(-1) and x?
66
What is the common denominator of 10*2 - 171910/8540 and -75/8?
3416
Let c = -1051759/24978 + 969/23. What is the common denominator of 101/8 and c?
4344
Let p = -23013/2 + 11481. Let k = -6170/9 - -653633/954. Calculate the common denominator of p and k.
106
Let l = 17723/12 - 8843/6. Let i = 106013/18 - 5894. Find the common denominator of l and i.
36
Let f(b) = 2*b**3 - 12*b**2 + 4*b - 14. Let t be f(6). What is the common denominator of (-1)/20*(-21 + -6) and ((-46)/112)/(t/(-8))?
140
Find the common denominator of 11/44*(-11)/((-308)/(-49)) and 6/(-176)*(-202)/3.
176
Let h be (-1126*(-9)/(-2562) - -4)/(-1). Let w = h - -46601/20496. Find the common denominator of w and 41/16.
48
Let c(w) = 155*w + 2380. What is the lowest common multiple of c(0) and 112?
9520
Let o(h) = h**3 - 17*h**2 - h + 25. Suppose 0 = 3*z + 4*q - 56, 4*q = -z + 6 + 10. Let s = z - 3. Calculate the least common multiple of 12 and o(s).
24
Let w(o) = -o**2 - 3*o - 21. Let y(h) = -h**2 + 2. Let d(u) = -w(u) - 2*y(u). What is the smallest common multiple of d(-5) and 55?
385
Find the common denominator of 137/144 and -15 - (-2622)/144 - 3.
144
Let d(n) = -3*n - 52. Let x(p) = -5*p + 55. Let s(h) = -5*h + 55. Let q(z) = -5*s(z) + 4*x(z). What is the least common multiple of d(-24) and q(19)?
40
Let q = -34 - -49. Let o be (-10 + 8)/(2/16). Let i(h) = 9*h + 153. Calculate the smallest common multiple of q and i(o).
45
Let a = 849 + -779. What is the lowest common multiple of a and 116?
4060
Let v = 1180339/159750 - -2/8875. Let c = -2611 + -22011. Let y = 443083/18 + c. What is the common denominator of y and v?
18
Let j be 8/36 + 2306510/18. Let s = 129417 - j. Let l = -1265 + s. What is the common denominator of 20/11 and l?
33
Suppose c = -4*l + 48, 4*l + 3*c - 37 - 11 = 0. Suppose 73 + 3 = 4*o - 2*g, -2*o + 30 = -5*g. What is the lowest common multiple of o and l?
60
Find the common denominator of 1/120 and (-867)/(-600) - (21 + -12 - 8).
600
Let g = 7814007257/7604 - 1027618. Let l = 272293/228120 + g. Find the common denominator of l and -1 + 8/(672/(-582)).
840
Calculate the common denominator of 8/(-1) - 4074/(-126)*(-61)/(-246) and -22/75.
18450
Let t = 16304/9 - 1809. Calculate the common denominator of (-640)/350*(-14)/12 and t.
45
Let p = -71496941/545 - -131187. Find the common denominator of 44/15 and p.
1635
Let q(f) = -10*f - 29. Let r be q(-17). Let b = r - 99. What is the least common multiple of 20 and b?
420
What is the common denominator of