 x = 11 - -17. Let k = x + -15. Suppose -5*m + 17 + 7 = z, 0 = -3*m - 2*z + k. What is the lowest common multiple of m and 6?
30
Calculate the common denominator of (10/(-72300))/((5 - 5) + 4/676) and -7/22.
79530
Let m = 277051/28 + -9898. Let v = 48040 - 528417/11. Find the common denominator of v and m.
308
Let b = -71 + 812. What is the common denominator of (-3)/(-8)*266/b and -1/40?
520
Let p(z) = z**2 - 23*z - 5. Let v be p(22). What is the common denominator of (v/315)/(6/435) and 80/63?
126
Calculate the least common multiple of (-6 + 345/46)/(3/64) and 44.
352
Calculate the lowest common multiple of 594*((-8)/24)/(4/(-6)) and 330.
2970
Let h(p) = 5*p + 41. Suppose 32*y + 321 - 97 = 0. Calculate the smallest common multiple of 14 and h(y).
42
Let s be ((-445)/(-25))/(9/135). What is the common denominator of 0 + 1 - (-113)/24 and (89/s)/((-32)/(-174))?
48
Let g = 7167 - 143299/20. Find the common denominator of 83/2194 and g.
21940
Let d = -486969 + 301920679/620. What is the common denominator of d and -32/1085?
4340
Let i be 14355/(-21) + (-4 - -1). Let d be 2 + -2 + 193724/280. Let o = d + i. What is the common denominator of o and -19/36?
180
Suppose -26*h + 252 = 96. What is the lowest common multiple of h and 98?
294
Let y(f) be the first derivative of f**4/4 + 7*f**3/3 + 2*f**2 + 10*f - 106. Calculate the lowest common multiple of 8 and y(-5).
40
Let w(h) = -10*h - 294. Let f be w(-18). Let b = f - -174. Calculate the lowest common multiple of 72 and b.
360
Suppose 108*n - 49*n - 5928 = 38676. What is the lowest common multiple of n and 12?
756
Let a = 409 + -391. Calculate the common denominator of -29/120 and (6/a - (-489)/18)/(-8).
240
Suppose -3*y + c + 26 = 0, -5*y - 8 + 54 = -c. What is the least common multiple of (392/70)/(28/(-15) - -2) and y?
210
Let y = 116075 + -20429281/176. What is the common denominator of ((-86)/4)/1 + -1 and y?
176
Let v = -4972 + 5095. What is the lowest common multiple of 429 and v?
17589
Suppose 5*j + i = -320, -i = -4*j + i - 242. What is the common denominator of 55/36 and (18/(-72))/(8/j)?
288
Find the common denominator of 39/88 and 5/(400/790) + -10 - (-293)/(-440).
440
Let v(a) = -12*a - 8. Let s be v(4). Let h be s/49*14/(-4). Suppose w + 54 = h*w. Calculate the smallest common multiple of w and 24.
72
Let a = 823005677/3024 - 272158. Find the common denominator of 65/2268 and a.
9072
Let b(y) = -69*y + 91. Let p be b(9). Let g = -294 - p. Calculate the least common multiple of g and 2.
236
Let g be 39172/440*(-4435)/(-52). Let z = 7593 - g. Let q = 26881/3432 + z. What is the common denominator of -75/8 and q?
24
Let j = 21268 + -18247949/858. Calculate the common denominator of -109/1320 and j.
17160
Let s = 14118769/326 + -43309. Suppose 237 + 553 = -5*h. Find the common denominator of h/28 - 2/((-6)/15) and s.
2282
Suppose -v - 738 = 7*n - 5*n, 0 = 5*v + 3*n + 3690. Let p = v + 4373/6. Calculate the common denominator of p and -29/6.
6
Suppose 0 = 8*o - 6*o + 3*l - 25, -5*o + 3*l = -73. What is the lowest common multiple of o and 122?
854
Let w = -4545 + 4617. What is the least common multiple of w and 704/72 + (-4)/(-18)?
360
Suppose 0 = -3*d + 2*j + 17057, -225 + 245 = -5*j. What is the least common multiple of d and 3?
17049
Let v = -99 + 120. Suppose 26*a - v*a + 5*s = 35, -3*a + 4*s = -42. What is the lowest common multiple of 79 and a?
790
Suppose 5*i + 1103 = 10*s - 9*s, -3*s + 3237 = 3*i. What is the least common multiple of 33 and s?
11913
Let b(y) = -y**2 - 30*y - 213. Let s be b(-18). What is the least common multiple of (6 + -20 + s)*(-18)/2 and 54?
594
Let n be 0 + -1 + 3 + 0/22. Calculate the least common multiple of 3 and n + (-7)/((-35)/(-10)) + 72.
72
Suppose 15*f - 11*f = -5*a + 3817, f = 3*a + 984. What is the least common multiple of 5 and f?
4815
Let n(i) = 3*i - 16. Let g(o) = -10*o + 48. Let x(h) = -5*g(h) - 16*n(h). Let l be x(-9). Calculate the common denominator of 5 + (0 - l) + -4 and 20/3.
3
Let m = 12 - 12. Suppose 435 = 5*q - m*q + 3*b, -q = 3*b - 99. What is the common denominator of 8/3 - 2 - (-343)/q and -65/14?
28
Let m = -1 - -7. Suppose 3*w + 4 - 13 = -2*d, 0 = 2*w - 4*d - 22. Suppose -w*s - 95 + 150 = 0. What is the lowest common multiple of m and s?
66
Suppose 0 = 2*g + 2*g + 4*w - 108, 0 = 3*w. Let z = 1487 - 1433. Calculate the smallest common multiple of z and g.
54
Let a(f) = 5*f**2 + f. Let x(z) = -2*z**2 - 3470*z + 10431. What is the least common multiple of x(3) and a(-2)?
18
Let s = 1/55590 - -40466/68181135. Let i = -33921/7334470 + s. Let h = i + -97121/13455. Find the common denominator of 145/12 and h.
36
Let y = 64/21 + -241/63. Suppose 4*z - 2*j + 7062 = -7*j, 4*z + 7064 = -4*j. Let h = z - -19483/11. What is the common denominator of y and h?
99
Let s(k) = 3*k - 42. Let a be s(12). Calculate the common denominator of (-27 - -27) + (-224)/26 - a and -101/4.
52
Let h = -53763/16 + 3359. Find the common denominator of 49/26 and h.
208
Suppose 35 = -5*g - 5. Calculate the common denominator of ((-34465)/(-5490))/(3/((-18)/(-4))) and ((-62)/(-6))/(g - 1).
108
Let i = -290045/120912 - -15/5038. Find the common denominator of 15/1168 and i.
3504
Let v = 83 + -117. Let b = 38 + v. Calculate the common denominator of 2/b*(-372)/27 and -15.
9
Let b be 0 - (12 - (0 + -4)). What is the common denominator of 2/(b/210) + 6 and -145/18?
36
Suppose 3*j = 3*b - 219, 70 = b + 2*j - 0*j. What is the least common multiple of 19 and b/(-10)*-20*4/12?
912
Let w = 860804837/884 + -973761. What is the common denominator of w and -123/20?
4420
Suppose -16*n - 3286 = -20*n - 3*s, 6 = 3*s. Suppose 53*x - 12*x = n. Calculate the smallest common multiple of x and 8.
40
What is the lowest common multiple of (2 + -1 + 20/10)/(2 + -1) and 5155?
15465
Let g = -117762 - -11540579/98. Find the common denominator of 31/1078 and g.
1078
Let u(h) = h**3 - 20*h**2 - 4*h - 1199. Calculate the least common multiple of u(23) and 1924.
3848
Suppose -2502 = 4127*j - 4405*j. What is the lowest common multiple of (-3)/(((-9)/322)/3) and j?
2898
Let p(t) = -2*t**3 - 33*t**2 - 29*t - 35. What is the smallest common multiple of 1 and p(-16)?
173
What is the common denominator of -55/414 and (((-22707)/(-2070))/(-29))/(276/10)?
19044
Suppose 6*u + 2*d - 1308 = u, -2*d - 2 = 0. Let i = u - 197. What is the lowest common multiple of i and 5?
65
Let q = 1527570650/1551 - 984894. Find the common denominator of q and -13.
1551
Let k = -441 - -357. Find the common denominator of ((-9)/k)/(702/3549) and (-4)/(-6) + (-31)/(-15).
120
Let k be (-231193)/26 + (-10)/(-65). Let o = k + 8889. Find the common denominator of 2 + (-21)/(-30) + 4 and o.
130
Let l be (9 - 5) + (-2 - -6). Calculate the smallest common multiple of 22 and 1/(l/14)*(76 - 52).
462
Suppose -5*q + 2461 = 3*m, -3*m + 203*q = 200*q - 2445. Calculate the least common multiple of m and 11.
8987
Let z(w) = 2*w**2 - 3*w**2 + 33 + 22*w + 0*w**2 - 9*w. Let b be z(15). Suppose -j + 1 = 0, 1 - 12 = -4*i - b*j. What is the lowest common multiple of i and 306?
306
Let k be 0*(3/2 - 2). Suppose -16*p + 33*p - 7888 = k. Calculate the lowest common multiple of p and 20.
2320
Let d = -9568 + 9589. Calculate the smallest common multiple of 1803 and d.
12621
Suppose -1032 = -3*v - 2*i - 48, 2*v + 3*i - 661 = 0. What is the lowest common multiple of 18 and v?
2934
Suppose -3*s - 1474 = 32. Let k = s - -4501/9. Find the common denominator of ((-1460)/180)/(4/12) and k.
9
Let q(d) = -74*d + 328. What is the lowest common multiple of q(-4) and 104?
624
What is the common denominator of 4/5 and ((-448)/192)/((-2218)/(-36))?
5545
Let u = -563/38 - -269865/18316. What is the common denominator of -41/4 and u?
964
Let r be (-745)/(-10)*((-944)/(-12) - -2). Let b = r + -937661/156. Calculate the common denominator of (-98)/20 - (-2)/(-2) and b.
260
Suppose -44*r - 9702 = -65*r. Calculate the smallest common multiple of r and 396.
2772
Let w be ((-24)/7)/((32/(-36008))/2). Let t = 107927/14 - w. Calculate the common denominator of 0/(-2) + (-115)/14 and t.
14
Let b(f) = -16*f**3 + 151*f**2 - 24*f + 30. Calculate the least common multiple of b(9) and 180.
22860
Let u be (-3 + (2 - (1 + -1)))*0. Let v be (2 - u) + 12 + -8. What is the lowest co