Let y be i(19). What is the smallest common multiple of y - (-7 + 3) - -4 and -2*1*(0 + -10)?
20
Let w(b) = b**3 - 5*b**2 - 7*b + 12. Let s be w(6). What is the smallest common multiple of 76/10 - 6/(-15) and 0/(-2) + s + -5 + 1?
8
Let l = 1346097 - 524978699/390. Let i be ((-69)/(-39) - 2)*(-16)/(-5). Let n = i + l. Calculate the common denominator of 86/45 and n.
90
Suppose 0 = -4*z - 3*k + 25 + 6, 3*z - 5*k = -13. Let o be 4 + 2 + z + -8. What is the common denominator of 2*o - (-686)/(-119) and 5/7?
119
Let r be (15/2)/((-111)/(-74)). Calculate the lowest common multiple of (128/20)/(r/25) and 40.
160
Let o = -192659/839856 + 4/17497. Calculate the common denominator of o and ((-3)/2)/(48/43).
96
Let j = -20631 + 21639. Calculate the smallest common multiple of 720 and j.
5040
Let i be (2 - (-1 - -1))*(-7)/(-14). Let c be ((-25)/15 - (-4)/6)/i. Calculate the common denominator of ((-14)/4 + 3)*(c - -100) and -65/32.
32
Suppose 0 = 2*f + 3*k - 114, -513*k - 188 = -3*f - 509*k. What is the least common multiple of f and 24?
120
Suppose -5*h + 57 = -3*l, 5*h - 77 = -l + 4. Calculate the smallest common multiple of 2349 and h.
11745
Let p(c) = c + 2. Let s(q) = q + 3. Let d be s(6). Suppose 3*g - 20 = 10. What is the least common multiple of g and p(d)?
110
Let l be 6*217/210*5. Let b(n) = n - 21. Let z(u) = u**3 + 6*u**2 + 5*u. What is the lowest common multiple of z(-4) and b(l)?
60
Suppose 47 = 3*v + 29. Suppose -h - h = -v. Find the common denominator of -25 and (-1)/((-4)/(-98)) + 1/h.
6
Let d = -2474845/64 + 38668. Calculate the common denominator of 21/8 and d.
64
Suppose 5*t - 22040 = -5*z, -5*t + 6*t - 17638 = -4*z. Let c = -1234811/280 + z. Find the common denominator of c and 89/10.
280
Suppose d - 3 = 97. Suppose 235 - d = 5*o. Calculate the smallest common multiple of o and 24.
216
Let h = 2/3292925 + -90227129/1620119100. Calculate the common denominator of h and 67/246.
2460
Let p = 7/1831 + -206973/18310. Find the common denominator of -27/100 and p.
100
Let z = -232/185 + -12101/4070. Let c = 1130 + -24939/22. Find the common denominator of z and c.
22
Let u = 26228 - 1101491/42. Calculate the common denominator of (((-6)/(-14))/1)/((-110)/2387) and u.
210
Let b = 2613/248 + -222/31. Calculate the common denominator of b and 41/4725.
37800
Let k = -13312/1011 + 1/2022. Suppose -4*c - 5*j + 94 = -67, 0 = -5*c - 3*j + 185. Calculate the common denominator of 3/(-8*1/c) and k.
12
Let p(w) = 24*w**2 + 2*w + 1. Let y be p(-1). Suppose -172 = -y*j + 288. Calculate the lowest common multiple of 202 and j.
2020
Let i = -23753/481390 - -15/1058. What is the common denominator of i and -49/117?
4095
Let t = -2736 - -3189. What is the lowest common multiple of t and 1510?
4530
Suppose 0 = -5*b + 2*q - q + 475, 27*q - 10 = 25*q. Let l(y) = -95*y**3 + 2*y**2 - 1. Calculate the smallest common multiple of l(-1) and b.
96
Suppose -2*r + 12 - 2 = 0. Suppose 0 = -0*o + r*o + 35. Let w(n) = -4*n - 6. Calculate the least common multiple of w(o) and 14.
154
Let q = -388 + 388. Suppose -6*l + 240 - 210 = q. Calculate the lowest common multiple of l and 37.
185
Suppose -26*h - 2 = -28*h, -5*h - 6705 = -5*d. What is the least common multiple of 366 and d?
4026
Suppose 22*s - 23*s = -b - 344, -1726 = -5*s + 3*b. What is the smallest common multiple of s and 23?
7981
Let m be -2 - (5 + 2/620*-4591). Let d = -40/31 - m. Find the common denominator of d and 262/(-8)*(-2)/(-3).
30
Let t = -430837 - -741901381/1722. Find the common denominator of t and -85/63.
5166
Let v = 851101/431532 + -2/35961. Find the common denominator of -93/172 and v.
1548
Let x be -24*7/14*1/(-3). Suppose -12 + 0 = -4*k, -5*q - x*k = -102. Calculate the lowest common multiple of q and 10.
90
Let t = 13065/224 + -831/14. Suppose -13970 = 5*y + 8590. Let v = y + 54071/12. What is the common denominator of v and t?
96
Let w be ((-15670899)/72)/(39/6). Let h = -33483 - w. What is the common denominator of h and 14/11?
572
Let h = -39 - -39. Suppose h*m - 5*m + 25 = 0. Let n = m - 2. What is the smallest common multiple of 1 and n?
3
What is the lowest common multiple of 1/(((-432)/(-16128))/((-54)/(-4))) and 567?
4536
Let t = -4312 - -4328. Calculate the smallest common multiple of (-1 - -45 - 3) + -1 and t.
80
Let x be (-30)/3975*(-140)/38. Let d = x + 40055/44308. What is the common denominator of (-2 + 78/32)/(6/4) and d?
264
Suppose -29 - 92 = 5*c + 3*l, 2*l - 58 = 2*c. What is the common denominator of -83/248 and c/104 + (-1172)/(-48)?
744
Let x = -2154101/60 - -35899. Let g = 99117/22 + -49542/11. Find the common denominator of g and x.
60
Let l be 34/((208/168)/13). Calculate the smallest common multiple of 4/2 + 1 - (-50 - l) and 22.
4510
Suppose 5*h + 76 + 369 = -5*j, -4*h + 281 = -3*j. Let l = j - -96. Suppose 0 = l*y - 6*y + 10. Calculate the least common multiple of 6 and y.
30
What is the common denominator of 79/18 and (4 + 213/(-45))/((-102)/35)?
306
Let f(q) = 2*q**2 + 3. Let h be f(-3). Let x(c) = c**2 - c + 78. Let j be x(0). What is the common denominator of j/16*28/h and -55/18?
18
Suppose -21*j - n - 23 = -17*j, -3*j - 1 = 4*n. Suppose z - 12 - 8 = 0. Let m = z - j. Calculate the smallest common multiple of m and 12.
108
Suppose 1962 = 5*n + 2*d, d + 783 = -8*n + 10*n. What is the least common multiple of 20 and n?
1960
Let w = -101/2 - -20. Let m = 427907 - 2582477/6. Let i = m - -2484. Find the common denominator of w and i.
6
What is the common denominator of (-1935)/(-120)*(-264)/(-5346) and 0 + 1 + (-17)/66?
594
Let j be 8/(-64)*-6 - 30/104. Let x be (-4)/14 + 295/273. Let f = x - j. Find the common denominator of f and -59/30.
30
Let n be ((-12538)/(-6))/(2/(-6)). Let o = n + 169286/27. What is the common denominator of o and 26/90 + (-7266)/32697?
135
Let r(f) = 6*f**2 - 43*f - 689. Calculate the lowest common multiple of 12 and r(-21).
8580
Let n = -95807/4 - -6466987/270. What is the common denominator of -97/110 and n?
5940
Calculate the common denominator of -33/34 and 133/952*33/(-22).
272
Suppose 4*y - 27*y = -1541. Suppose 900 = -7*l + y*l. Calculate the least common multiple of l and 58/2 - (-1)/1.
30
Let x = -102093/17200 + -2/1075. Calculate the common denominator of x and (-10)/8 + 705/680.
272
Let h = 233591/2898348 + -1/1621. Find the common denominator of 1/4023 and h.
16092
Let j(b) = b + 18. Let f be j(-14). Calculate the lowest common multiple of ((-24)/14)/((f/42)/(-1)) and 1/(-3) + 74/6.
36
Let z = 2/1105 + -3/221. Calculate the common denominator of (2848/(-448))/(1740/609) and z.
680
Let f(c) = -4*c**2 - 33*c + 782. Let o be f(22). Let t be 2/(-12)*(-33959)/3. Let r = t + o. Calculate the common denominator of r and -77/6.
18
Suppose 85*y = 77*y - 3696. Let g = y + 486. Suppose -5*m - 4 - 16 = 0, -4*v = 4*m - 164. What is the least common multiple of g and v?
360
Suppose 75*r = -4856 + 16556. What is the lowest common multiple of 165 and r?
8580
Suppose 3*v - 720 = n, 16*n = 12*n. What is the smallest common multiple of 30 and v?
240
Suppose 4*f - 5 = p + 3, -10 = -5*p - 5*f. Let z be (-294)/(-18) + 2/3. Suppose -z = -v - p*v. Calculate the lowest common multiple of v and 3.
51
Let t = -46211921/573000 + 15402/191. What is the common denominator of 53/21 and t?
21000
Let m(z) = z**2 + 2*z - 1. Let c be m(-2). Let b be (c/(-2))/(105/1578). Let d = -34/5 + b. Calculate the common denominator of 42/13 and d.
91
Let j = 30/1261 + -45932/1824667. Let i = 70899/2894 - j. Calculate the common denominator of i and 5/6.
6
Suppose -2*s + 48 = s. Let c be -7 + (7 - (-1164)/6). Suppose 19*n - 186 = c. What is the least common multiple of s and n?
80
Let k = -2345 + 2571. Let a(n) = -n**2 - 12*n - 21. Calculate the least common multiple of a(-9) and k.
678
Let y(v) = -v**3 + 5*v**2 + 13*v - 50. What is the smallest common multiple of y(3) and 271?
1897
Let n = -16612/383 - -5871961/119496. Let t = 108/13 - n. Find the common denominator of t and (2/5)/((-616)/(-1050)).
264
Suppose -45*c = -4013 - 667. Calculate the smallest common multiple of 117 and c.
936
Calculate the common denominator of -93/224 and (-1)/(-12)*33516/(-392).
224
Calculate the common denominator of -67/56 and 1266/(-245) + ((-176)/22 - -13).
1960
Calculate the common deno