x. What is the least common multiple of 1975 and x?
3950
Let z(n) = -18*n**3 - 6*n**2 - 93*n - 278. Calculate the smallest common multiple of z(-6) and 1664.
31616
Suppose d + 906 - 3243 = -4*k, 3*d = 5*k + 6909. What is the lowest common multiple of d and 257?
2313
Let d be 16/(((-4)/(-8)*1)/3). Let f = -43 + d. What is the smallest common multiple of 2 and f?
106
Calculate the common denominator of (24283/(-9828) + 6/13)*(-5)/91 and 19/12.
1404
Let n = 206152829/2700 - 687176/9. What is the common denominator of -133/90 and n?
2700
Let g be (-18)/24864*15492/(-18). Let b = g - -1/518. Find the common denominator of b and 30/563.
4504
Let m be 4/(-3)*24/(-4). Suppose -3*g - 4*c - 510 = -m*g, -c + 306 = 3*g. Let d(z) = 55*z - 147. What is the lowest common multiple of d(3) and g?
306
Let o(m) = m**3 + m**2 - 4*m + 564. Calculate the smallest common multiple of o(0) and 308.
43428
Let v = 9869/2 + -5211. Let o = 278 + v. Find the common denominator of o and (1/12)/((-2)/556).
6
Let c = -596 + 628. Suppose -2*s = -10*l + 12*l - 12, 0 = -3*s - 4*l + 20. Calculate the smallest common multiple of s and c.
32
Let x(j) = 2*j**2 - j - 30. Let w = -16 + 16. Let h be x(w). What is the common denominator of 77/16 and (19/h)/(2/(-14))?
240
Let u = -42863471/300 + 142878. Calculate the common denominator of 23/28 and u.
2100
Suppose -4*h = 2*o + o + 57, -2*h = 4*o + 66. Let r be (-2)/((-8)/(-174)) - o/(-10). Calculate the smallest common multiple of 20 and 216/r*(-1)/(6/20).
80
Suppose 4*t - 40 = 2*t - 2*s, 4*s = -20. Let g = t + -23. Find the common denominator of -5/9 and (-16)/(-12) + ((-267)/(-45) - g).
45
Let c(y) = y**2 - y. Suppose s + 3*u = 9, -4 = -4*s - 3*u + 5. Let j be c(s). Calculate the common denominator of 17/5 and j - -5 - 80/28.
35
Let i = -10 - -20. Let w = -15327 - -15389. Calculate the least common multiple of i and w.
310
Let x = -1231/3 - -84029/204. Find the common denominator of 41/20 and x.
340
Let v(d) = -69*d + 121. Let p be v(-17). Suppose -1684 + p = -6*f. What is the lowest common multiple of f and 35?
455
Suppose 16 - 68 = -4*q - 4*h, 5*h - 20 = 0. Suppose 2*f - q = -57. What is the common denominator of (-4)/f*(76 - -3) and -37/7?
42
Let k = -26/177 + -3191/30090. Find the common denominator of (-5175)/(-138)*(-4)/12 and k.
170
Suppose -3*q + 95 + 10 = 0. What is the common denominator of (-2)/(-3) + 71/(-6) and -8*q*2/(-72)?
18
Let k = 1 + -2. Let y be 3/((-6)/(-32)) - -9. What is the least common multiple of 1 and (15/y)/(k/5) + 12?
9
Let h be 2584/17 - 3/6*10. Suppose 10*z + h = 15*z + 3*q, 4*z + 5*q - 128 = 0. Calculate the lowest common multiple of z and 30.
270
Calculate the common denominator of 7/(231/36)*169/(-416)*8 and -61/1405.
15455
Let k(n) = n**3 + 7*n**2 - 8. Let u be ((-7)/(-4))/7*-2*2. Let q be (-48)/(-264) - (u + (-79)/(-11)). What is the lowest common multiple of k(q) and 22?
308
Let w = 3 + -1. Suppose w = g - 0. Suppose -2*o - 3*n + 1 + 26 = 0, -2*n = -5*o + 20. Calculate the lowest common multiple of g and o.
6
Let n(u) = -6 + 9*u**2 + 164*u - 164*u. Let p be n(2). Suppose 0 = 4*k + 4*a + 5 - 29, a - p = -5*k. What is the least common multiple of k and 20?
60
Let h = -12154 - -194375/16. Calculate the common denominator of h and 9/(-15) + 13720/(-4800).
48
Suppose 1320 = 37*k - 1196. What is the common denominator of ((-380)/6*-1)/k and -9/10?
510
Calculate the common denominator of (21 + -149)/(-16) + (-411)/45 and -41/1521.
7605
Suppose 0 = 3*s - 5*b + 128, -37 = 3*s + 3*b + 59. What is the common denominator of 175/(-140) + s/14 and -29/22?
308
Let x(l) = l + 74. What is the lowest common multiple of 564 and x(10)?
3948
Let x = 31719670/63 + -503471. Let j = x + -11239/630. Find the common denominator of j and 10 + (-1824)/180 + 11152/2640.
770
Suppose 4*r = -12 + 28. Suppose 0 = -r*v - v + 20. Suppose 43 = w - 5*c - 10, -3*w = v*c - 140. Calculate the smallest common multiple of 2 and w.
48
Suppose -14205 = -65*f + 37275. What is the least common multiple of 432 and f?
4752
Let n = -1453/165 + 68/15. Calculate the common denominator of (-266)/(-16)*4/28 and n.
88
Let t = -214956370 - -495259468843/2304. Let d = -45/256 - t. What is the common denominator of d and 8?
36
Find the common denominator of 11/7470 and (3 + 195/(-63))/(8 - (-10348)/(-1326)).
52290
Let p = 3720 + -3405. What is the smallest common multiple of p and 60?
1260
Let o = -16439773/801 + 20524. What is the common denominator of -25/153 and o?
13617
Suppose y - 3 = 21. Suppose 8786 - 9094 = -7*a. Calculate the least common multiple of y and a.
264
Suppose 0 = -k - 37 + 31. Calculate the least common multiple of k - -6 - (26/(-2) - -3) and 42.
210
What is the common denominator of (-18)/8 + 0 + (-1046)/(-280) and 18/175?
175
Suppose -3*q = -11 - 1. Suppose -q*o = 1 + 3. What is the common denominator of 95/16 and (o/(-8))/(2/(-54))?
16
Suppose -40 = 347*t - 352*t, -3*d + 336 = -3*t. What is the least common multiple of d and 45?
360
Let n be (-18)/(-108) - 358/(-12). Suppose 0 = 3*z - 5*i - 24, n = 5*z - 4*i - i. Calculate the smallest common multiple of z and (372/14)/((-75)/(-35) + -2).
186
Suppose 280*r = -3*d + 278*r + 166, -5*d + 5*r = -335. Calculate the least common multiple of d and 1146.
11460
Let n be (-6)/45 - (-11432592238)/300. Let y = 38100757 - n. Let o = 7884 + y. Find the common denominator of o and 51/8.
200
Suppose 72 = -3*f - 282. Let k = 132 + f. Suppose 3 = -3*h + 33. Calculate the least common multiple of k and h.
70
Suppose 5*n + 1515 = -9*p + 12*p, 5*p + n = 2553. What is the smallest common multiple of p and 816?
4080
Suppose -240*z = -77*z - 1956. What is the smallest common multiple of z and 44?
132
Calculate the common denominator of -59/16 and (3 - (-342)/(-112))/(42/312).
784
Suppose -o + 5*o = 2540. What is the common denominator of o/156 - 2/13 and 74/925 + 2261/(-450)?
36
Let y = -25426 - -3051101/120. Find the common denominator of y and 1/120.
120
What is the common denominator of (-354)/4*-4*8/144 and -105/4558?
13674
Suppose 55*d = 254138 + 119455 + 55957. What is the smallest common multiple of 14 and d?
54670
Let z(a) = a + 30734. Let l be z(0). Let k = -52154 + l. Let q = -728333/34 - k. What is the common denominator of -13/2 and q?
34
Let d be (-2)/(2168/269) + 1/4. Let x = d + 7023/12466. Calculate the common denominator of 23/7 and x.
161
Calculate the common denominator of (-10)/(-1 - 29) - 168/343 and 97/252.
1764
Let c(w) = -17*w**2 - 109*w - 8. Let n be ((-376)/48 + 7)*6. What is the lowest common multiple of c(n) and 160?
1120
What is the common denominator of -133/30 and (52/68*17)/((-33)/5)?
330
Let i = 23182 + -22912. What is the least common multiple of 756 and i?
3780
Let b = -93264 - -10818717/116. Calculate the common denominator of b and (-605)/(-182) + (-16)/56.
1508
Let l(t) = 97*t**2 + 7*t + 2 - 95*t**2 - 2. Suppose s - 5*s + 24 = 4*k, 12 = 2*s - 5*k. What is the least common multiple of l(-6) and s?
30
Suppose 5*k = w + 69, -3*w + 0*w = 4*k - 40. Suppose 245 = -k*v + 18*v. Let f = v - 41. Calculate the least common multiple of 6 and f.
24
Suppose 186*p = -190*p + 371*p + 280. What is the smallest common multiple of p and 896?
896
Let j(c) = 3*c - 3. Let y(h) = h**3 - 8*h**2 + 22*h - 108. Let r be y(7). What is the lowest common multiple of j(3) and -4*(-1 - r/(-6)) - 0?
6
Let y be (-8571844)/2640 - 24/(-32). Let h = y + 16228/5. Find the common denominator of h and 13/22.
66
Calculate the common denominator of (1464/2457)/(-4) + (-376)/(-1222) and 151/4032.
4032
Suppose 5*a - 6*t = -5*t + 145, -2*a + 58 = -5*t. Suppose -4*z + a = -15. Calculate the lowest common multiple of z and (4 + 87/(-6))*4/(-6).
77
Find the common denominator of 49/190 and -5 + 873/70 + 480/(-80).
1330
Let x(l) = l**3 + 83*l**2 - 76*l + 791. What is the smallest common multiple of x(-84) and 119?
119
Let q = -11991 + 8194. Let k = -57462277/14 + 4108247. Let r = k + q. Find the common denominator of r and 7/88.
616
Let n = -1570127267/2130 + 737149. Find the common denominator of n and -52/213.
2130
Suppose -3*n = 36*n - 78. Calculate the common denominator of 29/35 and ((-3)/6 + n)*(-505)/150.
140
Let x be (-4)/(-24) + (2 - 21790/96). Let z = x + 225. What is the common denominator of z and 7