
10
Suppose -5*s = 1615436 - 23073246. Let p = 94435489/22 - s. Let w = p - 960. What is the common denominator of -17/8 and w?
88
Let s(i) = 455179*i - 1. Let b be s(-5). Let x be 15392187/b - 8/(-2). Let o = x - 1/39928. Find the common denominator of o and -1/4.
76
Let p be -2 + 3 - (2 - -5548). Let i = p - -111021/20. What is the common denominator of i and (1 + (-2)/48*166)*27/36?
80
Let g be (-52)/(-3) - (-35)/(-105). Let u be (6/(-3))/((-1)/10). Let s = u - g. Calculate the least common multiple of 11 and s.
33
Calculate the common denominator of 161/(-24) + -19*189/(-1026) and -2*(-11)/(-12) - 2.
24
Let b(w) = w**3 - 4*w**2 + 5*w - 3. Let l be b(3). Suppose l*o = -35 - 226. Let h = o - -955/11. Find the common denominator of h and 139/6.
66
Suppose -41*t + 46 = 5*m - 44*t, m - t = 10. Calculate the least common multiple of -8*((-35)/10 + 3) and m.
8
Suppose -3*x = -l + 1, -l + 4*x = -x + 1. Let g(w) = 2*w**2 - 7*w + 5. Suppose 0 = -1285*u + 1286*u - 1. Calculate the least common multiple of g(l) and u.
9
Let d = 3997 - 3248. What is the smallest common multiple of 856 and d?
5992
Suppose -2331 - 369 = -25*m. Calculate the least common multiple of m and 294.
5292
Let h(m) = -58*m - 16. Let s be h(-8). Let z be 6/10 - s/20*-3. Let l = z + -5139/80. Find the common denominator of l and -101/40.
80
Let l = -12649 - -202319/16. Calculate the common denominator of l and 4/(-114)*(-243)/(-12).
304
Calculate the smallest common multiple of 408 and 110*(-2 + -13 + 18).
22440
Let r = -4423/126 - -489/14. Calculate the common denominator of r and -11/35.
315
Calculate the common denominator of -27/2318 and (4/488)/((-4)/(4332/95)).
11590
Let g = -93283/10 + 9338. Let t = -7615 - -4922. Let i = t + 5287/2. Calculate the common denominator of g and i.
10
What is the least common multiple of 1998/7 - 396/(-693) and 195?
4290
Let a(s) = -37*s - 106. Let v(t) = 18*t + 53. Suppose -11*w = -3*w + 24. Let r(g) = w*a(g) - 7*v(g). What is the smallest common multiple of r(-5) and 6?
66
Let k be ((-7)/(5 + 2))/((-2)/8). Suppose 0 = 5*c - 15, 4*l = k*c - 3*c + 109. Calculate the lowest common multiple of l and 4.
28
Let s(d) = -101*d**2 - 516*d - 22. Calculate the least common multiple of 336 and s(-5).
3696
Let z be (-260 - 1)*(-48)/(-9). Calculate the common denominator of z/4263 + 1/(-2)*0 and 33/70.
490
Let w be 12/(-2) + 4*12/8. Suppose 3*u - 75 - 33 = w. What is the smallest common multiple of u and 124?
1116
Let f = -919/2331 - -24/259. What is the common denominator of 61/5194 and f?
46746
Suppose -361*j = -363*j + 40. Suppose -j*q - 6*q = -104. Let g(z) = 2*z - 9. What is the lowest common multiple of q and g(6)?
12
Suppose 0 = 210*t - 78700 + 12130. What is the lowest common multiple of 4 and t?
1268
Let n = 167 - 748. Let i(f) = -99*f - 22. Let u be i(9). What is the common denominator of -71/27 and (u/n)/(1/((-49)/30))?
270
Let m be (-2 - (-4 + -5)) + -6. Calculate the lowest common multiple of (1/m)/(-4*8/(-1280)) and 40.
40
Let c = -2367 - -149183/63. Find the common denominator of (8 - (-4090)/(-490))/1 and c.
441
Calculate the common denominator of 74/(-132) + (-22)/(-66) and (-16)/10 + 20723/14280.
1848
Calculate the lowest common multiple of 42 and 0 - -1 - 6*(-1880)/60.
378
Let z(v) = v**3 - 16*v**2 - 440*v + 12. What is the least common multiple of 50 and z(-12)?
6300
Let u(w) = w**3 + 8*w**2 - 6*w - 32. Let q(o) = o**3 - 4*o**2 - 2*o + 4. Let t be q(2). Suppose 5*r = 33 + 17. What is the least common multiple of r and u(t)?
80
Suppose -o = 3*o + 2*x + 200324, 4*o - 3*x = -200324. Let h be (-1)/(12/o) - (-12 + 10). Let w = -4182 + h. What is the common denominator of -23/20 and w?
60
Let v = 540577/9 + -60066. Let a = 1915 + -15277/8. What is the common denominator of v and a?
72
Let s = -2021/684 + 13/342. Calculate the common denominator of -143/16506 and s.
33012
Let n = 270 - 186. What is the least common multiple of 35 and n?
420
Suppose -255 = -4*q + 585. Let r(v) = v**2 + 91*v + 92. Let l(y) = y**3 - 7*y**2 + 12*y - 5. Let m be l(2). Calculate the least common multiple of q and r(m).
210
Let c be -3481*15/30*-1*1. Let v be (-2 + 1)/(2/3404). Let m = v + c. Find the common denominator of -75/88 and m.
88
Let g = 1260283 - 15194173/12. Let x = -5909 - g. Find the common denominator of x and -9 - -9 - (-20 + 22 - (-41)/(-4)).
12
Calculate the common denominator of 4628/240 + (-57)/3 and 61/350.
2100
Let a be (-1187541573)/2813076 + (-2)/(-9). Let p = a + -11/44652. Let q = -421 - p. Calculate the common denominator of q and -5/18.
126
Let m = 49/337 + -41827/299256. Find the common denominator of -9/80 and m.
8880
Let y be 1*10*4 - -1. Let j = -1875/2 + 979. Let t = j - y. Calculate the common denominator of -13/8 and t.
8
Let b = -2056262/35955 + 4874/85. Calculate the common denominator of -41/279 and b.
13113
Let p(q) = -q**2 - 117*q + 888. Calculate the lowest common multiple of (8/10)/((-6)/(-675)) and p(-124).
180
Calculate the common denominator of -129/1450 and -2 + (-53823)/(-7830) + (-2)/(-15) + -5.
13050
Let c = 29203 - 25630. Calculate the least common multiple of 4367 and c.
39303
Let w = 27181 + -6523427/240. Find the common denominator of 4 and w.
240
Let h(i) be the third derivative of i**4/8 - 4*i**3/3 + 3*i**2. Calculate the lowest common multiple of h(8) and -21*8/(-6) - 2*2.
48
Suppose 3*z - 131 = -5*l - 0*z, -l + 27 = z. Let c(n) = -3*n + 76. Calculate the lowest common multiple of 9 and c(l).
9
Calculate the least common multiple of 54 and 1454500/800 - 1/8.
5454
Let m = -2/13033 - 990442/430089. What is the common denominator of -55/999 and m?
10989
Let j = -346447/1680 + 1032/5. Calculate the common denominator of j and 75/4.
336
Let q = 9449687587 + -30522491209233/3230. Let n = q + -683/170. Let u = n + 98. Calculate the common denominator of 14/9 and u.
171
Suppose -98 = -c + 2*p + 116, 2*c - 5*p - 423 = 0. Let y = c - 166. What is the least common multiple of 6 and y?
174
Let h = 17 - 8. Suppose -4*q - 30 = -3*f, 0 = 5*f - 3*q + 2*q - 33. Calculate the lowest common multiple of h and f.
18
Let f(j) = -j**3 + 2*j + 2. Let p be f(-4). Let u = p - 81. Let v = -20 - u. What is the least common multiple of 19 and v?
57
Let z = 9 - 6. Let g = -2553 + 1465. Let w = -1079 - g. What is the smallest common multiple of z and w?
9
Calculate the common denominator of (-589)/608*(-1)/50*-4 and 63/20.
400
Calculate the common denominator of (4/(-46))/(-1) + ((-3179)/703800)/(-17) and 79/144.
3600
Suppose -2*g = -4*b + 2*b - 854, -b + 5*g - 447 = 0. Suppose 2*k - 3*p + 13 = 7*k, -5*p = 4*k - 13. Find the common denominator of -9/19 and b/12 + (k/3)/(-2).
38
Let w be -6 + 8 + -6 - (0 + 271). Find the common denominator of (10/w)/((-357)/3485) and -44/15.
1155
Let o(p) = 3*p**2 + 4*p - 15. Let c be o(12). Let k = -14221/70656 - 5/3072. Calculate the common denominator of 5/(-20) - c/220 and k.
759
Let u(t) = t**2 - 2*t - 12. Let j be u(-3). Find the common denominator of j*1 - ((-147)/112 + -1) and 31/22.
176
Let k(z) = 2*z**2 - 3*z + 8. Let w be k(4). Suppose 5*d + 27 = -w. Let m = d - -14. Calculate the lowest common multiple of m and 13.
39
Let u(p) be the first derivative of -2*p**3/3 + 27*p**2/2 + p + 82. What is the lowest common multiple of u(13) and 91?
182
Suppose 5*q = -2*m + 52, -51*q + 55*q + 5*m - 28 = 0. Calculate the smallest common multiple of q and 33.
132
Let o = -26437 - -26705. Calculate the lowest common multiple of o and 580.
38860
Suppose 0*u - u + 8 = d, 5*u - 35 = -4*d. What is the common denominator of (-86 + -3)*(-2)/(-12) and u*((-11)/44 + -1 + -1)?
12
Let w = 64 - 61. Suppose -w*m + 8*m - 75 = -5*b, 2*m - 50 = 2*b. Calculate the common denominator of 33/m - 6/15 and 52/5.
20
Let v = -25856585015/4176 + 6191711. What is the common denominator of v and -3/812?
29232
Suppose l = n - 21, -5*l + 286 = 301. Let w(x) = x - 3. Let s be w(5). Suppose 5*d - s = 58. What is the lowest common multiple of d and n?
36
Suppose 141*q + 390 - 1960 = 2519. What is the smallest common multiple of q and 116?
116
Suppose 6 = -c - 2. Calculate the lowest common multiple of 4 and (5 + 4)/3 - c.
44
Let q(b) = -5*b**2 + 15*b - 23. Let m be q(2). What is the common denominator of 1*9/45*m/(-3) and -33/23?
345
What is