nator of 3/(-27) + (-264409)/14760 + 21 and c.
280
Suppose -3*j - j = 5*z - 112, 98 = 4*z - j. Let k(l) = -92 + 48*l - 103*l + 47*l. Calculate the smallest common multiple of z and k(-17).
264
Calculate the common denominator of (-52)/12 + (-1649)/(-2328) and 161/156.
312
Let h = -13 + 37. Suppose -21*d + 22*d = 8. Calculate the least common multiple of d and h.
24
Suppose -12*x + 28 = 16. Let k = 1147/5 + -6587/30. Calculate the common denominator of -28 - -28 - ((-218)/12 - x) and k.
6
Let i = 2414470489/123552 + -254048/13. What is the common denominator of 17/11 and i?
9504
Let s be 3/(-2) + (-39)/6. What is the common denominator of s + ((-2603)/28)/(-19) and 53/56?
56
Calculate the common denominator of (1525325/(-3900))/97 - 2*-2 and 38/1149.
59748
Suppose -5*k - 69 + 419 = 0. Let y = 90 - k. What is the least common multiple of ((-1)/(-1) - -6)*2 and y?
140
Calculate the common denominator of -19/12 and (534/(-45))/(58 + -14).
660
Calculate the common denominator of (12 - (-44784)/(-4158)) + 2/7 and -2*1304/864 + 1/2.
297
Let y = 4145 + -99461/24. Calculate the common denominator of (1 - -6) + 3363/(-477) and y.
1272
Let p(r) = 3*r - 32. Let o be p(14). Suppose 0 = -o*w + 7*w + 24. Suppose -22*a = -21*a - w. Calculate the least common multiple of a and 12.
24
Let c(j) = -4*j**2 - 21*j + 20. Let g be c(-5). What is the common denominator of (202/g)/((144/15)/(-4)) and 71/20?
60
Suppose -n = -6*n + 5*f + 15, -4*n = 4*f - 20. Suppose -4*m - 5*l = -239, -l - 388 = -n*m - 119. Calculate the smallest common multiple of 54 and m.
594
Let r = 182654/141 - 3886/3. Find the common denominator of r and 71/470.
470
Let o be (10 - 1)/(((-336)/32270)/(-8)). Let a be 55229/(-8) - (1 - 0). Let l = o + a. Calculate the common denominator of 113/6 and l.
24
Suppose 0 = -18*u - 956 - 682. Let k = 37 - u. What is the least common multiple of 22 and k?
1408
Let s(d) = -d + 9. Let r be (11 - 12)/(2/(-12)). Suppose r*f = 10*f - 48. What is the least common multiple of s(4) and f?
60
Suppose 170*r - 149*r - 13209 = 0. Calculate the least common multiple of 17 and r.
629
Let y(d) = -4*d**2 + 8*d**2 + 3*d + 4489 - 4506. Calculate the least common multiple of y(7) and 10.
200
Let w = -43132 - -1294133/30. Let r = 1877 - 22655/12. Find the common denominator of w and r.
60
Let c = 10847 + -5727. What is the smallest common multiple of 6 and c?
15360
Let u = 181/22 + -201/22. Calculate the common denominator of 76/111 and u.
1221
Let y(q) = q**3 - 4*q**2 - 3*q + 2. Suppose -55*p = -60*p + 75. Let r(m) = -m**3 + 14*m**2 + 14*m + 21. What is the least common multiple of y(5) and r(p)?
12
Let z(p) = -p**2 + 172*p - 277. What is the least common multiple of 207 and z(167)?
12834
Find the common denominator of -91/1980 and (-5)/(-20)*(-9804)/399.
13860
Suppose -252 - 315 = 9*l. Let y = l - -63. What is the common denominator of 103/10 and 3/(27/46) + y?
90
Calculate the smallest common multiple of (108/(-51) - -2) + -12 + 6144/204 and 18.
18
Suppose 1600 = 32*h - 2976. What is the least common multiple of 338 and h?
3718
Let m = -7588 + 204814/27. What is the common denominator of m and 49/621?
621
Suppose -3*h + 49474 = u, -2*u + u + 32981 = 2*h. Let c = -725621/44 + h. Find the common denominator of 69/32 and c.
352
Suppose 0 = -q + 5*s + 86, q - 3*q + 188 = -2*s. Let g = q - 293. Let o = g + 972/5. Find the common denominator of -41/44 and o.
220
What is the smallest common multiple of (-25785)/(-423) - (-16)/376 and 671?
671
Suppose 0 = 176*s - 1332 - 2364. What is the smallest common multiple of s and 33?
231
Let y = 41525/6 - 6941. Find the common denominator of y and (-2 - (-165)/25)/(10/25).
6
Suppose -4*t = 4*k - t - 9, -7 = -2*k + t. Let r(p) = -7 - k + 3*p + 5*p - 4 + p**2. Calculate the lowest common multiple of r(-12) and 14.
238
Find the common denominator of -109/2268 and -1 - -1 - (-2)/(5832/(-369)).
2268
Suppose 6*t - 7 = -127. Let s = 5 + -1. What is the least common multiple of s and (-15)/((-75)/t) + 20?
16
Let m = -4/34585 + -2870339/1867590. Let y = -9770011/42 + 232617. Find the common denominator of m and y.
378
Let g(u) = 5*u**2 + 5*u - 4. Let q = 205365 + -205351. Calculate the least common multiple of g(3) and q.
56
Suppose -o = -2*o + 1. What is the least common multiple of (-13)/(91/(-105)) + 29 and (14/35)/(o/30)?
132
Let r(z) = -76 + 40 - 31 - 4*z - 87. Calculate the smallest common multiple of r(-46) and 4.
60
Calculate the smallest common multiple of ((-1479)/(-6) + -5)/(39/78) and 575.
12075
Suppose 0 = 12*q - 1162 - 470. Suppose -9*y + q = 64. What is the smallest common multiple of y and 35?
280
Let g(r) be the second derivative of r**5/20 - 3*r**4/4 + r**3/6 + 65*r**2/2 - 233*r. Calculate the smallest common multiple of 37 and g(8).
333
Let s be 6/((-25563384)/33964579) + (-2)/18. Let k = -4/10759 + s. What is the common denominator of k and 69/8?
24
Let s = -153/43 - -205063/57620. Find the common denominator of 41/201 and s.
4020
Suppose -19 = -4*y - 11. Suppose -2*t - y = -2. Suppose -s = -6*d + 4*d + 8, t = 2*d + 4*s - 8. Calculate the least common multiple of d and 2.
4
Let i = 1602701/60 + -26711. Let h = 41029/31068 + -13/863. Calculate the common denominator of h and i.
180
Let s = -155/19 - -5133/380. Let b = 35820 - 3044652/85. What is the common denominator of s and b?
340
Let b = -846977703/6190 + 136830. Let z = 31746971113769/12818383834620 + 61/591663228. Let f = b + z. What is the common denominator of -34/9 and f?
63
Let a be (-2)/4*(4 - 80). Suppose -2*b = c + 75, 85 = -4*b + 2*b - 3*c. Let g = b + a. What is the least common multiple of 27 and g?
27
Let v = 31 + -21. Suppose 0 = -5*c - 0 + v, -2*m + 18 = -3*c. Calculate the lowest common multiple of 8 and ((-2)/8)/(-6 - (-71)/m).
24
Let i(r) = 1089*r**2 - 40*r - 1. What is the lowest common multiple of 655 and i(1)?
5240
Let b(s) = 7*s**2 + s + 2. Let f(x) = -15*x**2 - 2*x - 4. Let a(p) = 5*b(p) + 2*f(p). What is the smallest common multiple of a(-2) and 32?
160
Let c = -30238 + 302379/10. What is the common denominator of -121/18 and c?
90
Let q be 3103/(18/(-42) + -1). Let f = q - -2174. Find the common denominator of -22/61 and f.
610
Let z(u) = 48*u + 58. What is the lowest common multiple of z(2) and 8?
616
Suppose 23 = -4*d - 5*v, -v + 14 = -4*d - 3*v. Calculate the common denominator of (-1)/d*-19*35/(-49) and 89/126.
126
Let y be 3/(-9) - (3231/6 + 2). Let k = y + 534. Find the common denominator of k and ((-42)/(-92))/((-4)/(-24)*-3).
138
Let j(h) = -h**3 + 18*h**2 - 43*h - 3. Let i be j(3). Calculate the common denominator of -23/18 and (-32)/(-48) - i/(-6).
18
Suppose -9*j = -7 - 11. Suppose -b + 69 - 75 = -s, j*s = -5*b + 12. What is the smallest common multiple of s and ((-8)/(-6))/(2/30)?
60
Let o be (-316047)/210 - (-1380)/(-805). Let u(m) = -504*m + 4. Let f be u(3). Let p = o - f. Find the common denominator of p and 32/9.
90
Suppose 0 = -8*l + 12990 + 46826. Let i = 104733/14 - l. Find the common denominator of i and (38 - 1)*5/25.
70
Let v = -218 - -239. Calculate the common denominator of -23/180 and 5/(-4)*v/9.
180
Suppose 6*u - 4 = 4*u + 4*b, -3*b = -4*u + 18. Suppose -3*d - 4*f = 11, d + 3*f = u*f - 8. What is the least common multiple of 4 and 17 - (3 - d - 4)?
52
Find the common denominator of -6 + 5 - (-285)/510 and -71/12.
204
Suppose 3*l - 3 = -12, 3*g = 2*l + 27. Let r = -7 - g. Let q(c) = -4*c - 42. Calculate the least common multiple of q(r) and 20.
140
Let u(w) = -3*w + 42*w + 20 - w + 5. Let z be u(4). Suppose -z + 27 = -5*p. Calculate the smallest common multiple of p and 18.
90
Suppose 0 = -5*n - n + 606. Let y = -90 + n. Suppose -3*d + 75 = 15. Calculate the lowest common multiple of y and d.
220
Let z = -16 + 4. Let m = 2572/2855 + -1/1142. What is the common denominator of m and 3/z + 52/24?
60
Let o(t) = 44*t + 3508. Calculate the lowest common multiple of 12 and o(-77).
120
What is the common denominator of 2/(-4)*0 + 132/1392 and 4/(-168)*(-1998)/(-36)?
812
Let t = -57 - -155. Suppose f - 5*g - t = 0, 84 = 4*f - g - 270. What is the common denominator of (-12)/64*(f/(-18) + -2) and -103/6?
24
Let q = 640531 + -644374121/1006. Calculate the common denominator of q and 53/74.
37222
Let c = 132177 - 792935/6. Let v = -165