*w = w + 3*i - 6, 2*w + 8 = 4*i. Suppose 5*j + 3*f - 83 = w, -24*j + 29*j + f - 81 = 0. What is the least common multiple of 1360 and j?
1360
Let s = 69 + -44. Calculate the smallest common multiple of (15 - -2)/(-34)*-30 and s.
75
Suppose 0 = 4*f + 5*i - 10, -f - f - 2*i + 4 = 0. Suppose 7*t - 19 - 23 = f. Calculate the smallest common multiple of 42 and t.
42
Suppose -267*p + 78 = -264*p. Calculate the common denominator of p/16*(-24)/(-20) and -17/20.
20
Suppose -732*m + 738*m - 54 = 0. Suppose 0 = c - 4*c + 27. Calculate the lowest common multiple of c and m.
9
Let o(i) be the third derivative of i**4/8 + 5*i**3/6 + 19*i**2. Let c be o(0). Suppose -c*t = -8*t + 15. What is the smallest common multiple of 1 and t?
5
Let o be (8/(-12))/(8/(-2154)). Let a be 22939/(-126) + (-10)/(-20). Let y = a + o. What is the common denominator of 27/8 and y?
72
Let a be 5/40 - 66478211278/(-16). Let t = 58667021422129/14120 - a. Let d = -1/2824 + t. What is the common denominator of -41/10 and d?
10
Suppose 2*d - 16 = -3*n, -3*d + 4*n - 23 = -13. Calculate the common denominator of d/6 + 44/(-16) and 19/28.
84
Let i = 459616207/1700 + -540725/2. Calculate the common denominator of -79/60 and i.
5100
Suppose 22 = -9*y + 94. Let g(z) = 9*z - 24. Let j be g(y). What is the least common multiple of 12 and j*(7/(-28))/((-1)/2)?
24
Let j be (-2)/6 - 514/78. Let q = 765/26 + j. Calculate the common denominator of q and (-2)/28 - 516060/(-426384).
36
Let u(f) = 1738*f - 1138. What is the smallest common multiple of 75 and u(1)?
600
Let a(p) = 35*p + 889. Calculate the smallest common multiple of 49 and a(-22).
833
Let m = -171301 + 37343553/218. Calculate the common denominator of m and 73/62.
6758
What is the common denominator of ((-4)/(-18))/((-4)/(-129)) and 25/(-700)*7*3 + (0 - (-741)/928)?
2784
Let r(m) = 157*m**2 + 7*m + 2. Calculate the least common multiple of r(-1) and (-2 - -7) + (1 - 2).
152
Suppose -1 = 3*b - 4*b. Calculate the common denominator of ((-4)/(-10))/(56/(-35))*166 and (-4)/30*(b - -53).
10
Let q be (6 + 168/(-32))*(47 + 1). Suppose 0 = 4*h - 27 - 1. Suppose 0 = -h*a + 5*a + q. Calculate the least common multiple of a and 4.
36
Suppose -2*r + 7*r - 215 = 0. Let n = -22 + r. Calculate the smallest common multiple of n and 1037/85 + 1/(-5).
84
Suppose d + 0 - 2 = 4*m, -3*d + 24 = -3*m. Let o(c) = -c**3 + 10*c**2 - c + 15. Let i be o(d). Find the common denominator of 41/33 and i/(-50)*(116/(-6) + 0).
165
Suppose -b = -3*f - 44818, -3*b + 3689 = -4*f - 56075. Let x = 268757/18 + f. What is the common denominator of x and 44/153?
306
Suppose 5*v + 4*j = 14236, 4*j - 8556 = -14*v + 11*v. Calculate the smallest common multiple of 2840 and v.
2840
Suppose -14*p + 9 = -11*p. Suppose 2*i = -p*n + 13, -3*i + 10 + 3 = -2*n. Find the common denominator of (-230)/(-20)*n/10 and 67/2.
20
Let m(b) = 3*b**2 - 27*b + 105. Let p be m(11). Let f = p + -159. What is the lowest common multiple of 2 and f?
12
Let r = -318017 - -1583088613/4978. What is the common denominator of r and 95/16?
39824
Calculate the common denominator of 3*2 - ((-1881)/(-108) - 2) and (-2)/(219/129 - 3).
84
Suppose -3*i - 5*z = -21, i - 418*z + 415*z = 7. What is the least common multiple of i and 3841?
26887
What is the common denominator of -79/1062 and 4/(-10) + (-395)/600?
21240
Let u = 301 + -452. Let s = 63 + u. Calculate the common denominator of -125/12 and (-48)/(-64) - 18/s.
132
Let h = -34/42873 - -158568195/28582. Let n = 3099 - -2467. Let m = n - h. Calculate the common denominator of m and 151/30.
30
Suppose 8*z + 167 = 247. Let k be (19/(-3))/(3/(-63)). Suppose z*o - k = 77. What is the common denominator of o and -19/4?
4
Let u = -58 - 15. Let j = 16457/10 - 1641. What is the common denominator of j and (-3 + u/(-32))*2?
80
Suppose i - 31 = -2*u, 184*i = -u + 186*i + 8. What is the smallest common multiple of 6 and u?
42
Let x(s) = 2*s**2 - 2*s + 48. Let b be x(7). Find the common denominator of 3 - -5*(0 + (-100)/b) and 10/27.
297
Let g = 10260 - 9765. What is the least common multiple of 605 and g?
5445
Let k = 2444 - 12161/5. What is the common denominator of k and 1/(-3)*(-11904)/896?
35
Let n = -10196282/3801 - -18777/7. Find the common denominator of n and -28/195.
35295
Let a = 1056 - 3870. Find the common denominator of 11914/a + (3 - 1 - -2) and 46/21.
1407
Find the common denominator of 53/280 and (-2422)/(-126) + -19 - (-193)/(-180).
280
Find the common denominator of -1 + 130/12 + 0 and ((-425)/1000)/(6/(-70)).
24
Suppose 2*j = 2*x - 9042, 10*x = -5*j + 5*x - 22605. Let h = -63341/14 - j. Calculate the common denominator of -33/16 and h.
112
Suppose -91*g = 112*g + 7*g - 1260. Calculate the smallest common multiple of g and 10368.
10368
Let g(d) = -3*d**2 + 125*d - 315. Calculate the smallest common multiple of 1610 and g(35).
17710
Let l(u) = 296*u + 3960. What is the smallest common multiple of l(-10) and 600?
3000
Let l = 2854 + -2472. Let b(a) = -a**3 - 9*a**2 + 9*a + 8. What is the least common multiple of b(-10) and l?
3438
Let z be 2/(-4) - 147098/92. Let b = z - -1600. Find the common denominator of b and 16/(-2)*(-369)/410 - 3/10.
230
Let q(d) = -3*d**2 - 5*d + 37. Let m be q(3). Find the common denominator of ((-336)/50 + 2)/(4/m) and -32/3.
30
Let p(s) = -s**3 + 47*s**2 + 11*s - 473. Suppose -3*a = -0*v - 2*v - 100, -4*a + 122 = 3*v. Calculate the lowest common multiple of a and p(47).
352
Let g(b) = b**3 - 21*b**2 + 18*b + 49. What is the lowest common multiple of 194 and g(20)?
1746
Let u = 322645 + -322639. Let j(r) = 9*r**3 - 4*r**2 + 2*r + 2. Calculate the least common multiple of u and j(3).
1290
Suppose 0 = -4*q + 5*h + 2389, -17*q + 5*h - 2339 = -21*q. What is the common denominator of ((-1)/2)/((-4)/164) and q/198 + 12/(-12)?
66
Calculate the common denominator of (((-187)/2)/17 + 9)*10/(-23305) and -17/7.
32627
What is the common denominator of 2 + 805/100 + -6 and (-11387)/(-1158)*1/4?
120
Let u = -674/7 + 51896/539. What is the common denominator of u and 149/770?
5390
Let n be (-4 - 2) + 28/7 - 2. What is the common denominator of 245/(-156) - (n/16)/(-1) and 30/7?
273
Suppose 5*h + 85 = 100. Suppose 432 = -h*i + 19*i. Suppose -3*c + 8 - 2 = 0. Calculate the lowest common multiple of c and i.
54
What is the common denominator of 83/182 and ((-50)/(-140))/((-4)/(-10))?
364
Let x(l) = -19*l**2 - 569*l + 36. Calculate the least common multiple of x(-30) and 2652.
2652
Let p = -21409 - -21415. What is the lowest common multiple of 1203 and p?
2406
Let f(o) = -7*o + 29. Suppose 5*a - 20 = 10. Let n(k) = 8*k - 30. Let y(r) = a*n(r) + 7*f(r). What is the lowest common multiple of y(-7) and 21?
210
Suppose 2*v - 1 = 13. Let c be ((-6)/7)/((-2)/v). Suppose c*g = -2*p + 60, -39 = -4*p + 3*g + 81. What is the smallest common multiple of 24 and p?
120
Let g(b) = b + 11. Let k be g(-6). Suppose 8*h = k*h + 12. Calculate the smallest common multiple of 4 and (h/(-2))/(2/(-10) + 0).
20
Suppose 34*w + 27*w + 12282 = 67*w. Calculate the least common multiple of 712 and w.
16376
Let p = 864 - 844. Calculate the lowest common multiple of p and 85.
340
Suppose -3*f - 4*k - 8 = 0, 4 + 0 = 3*f - 2*k. Let y = 6 - f. Calculate the lowest common multiple of ((-265)/(-530))/(1/176) and y.
264
What is the smallest common multiple of 9 and (20/(320/4344))/((-1)/(-2))?
1629
Let a = -24697/15 - -1648. Find the common denominator of -57/92 and a.
1380
Let n = 1461/946679 - 77653204739/18380719464. Let s = n - -12/809. Calculate the common denominator of 151/72 and s.
72
Let m = -2459 - -2475. What is the least common multiple of 36 and m?
144
Suppose -4*t = 5*q - 250, -4*q + 102 = -2*q + 2*t. Suppose -43*j = -q*j + 513. Calculate the common denominator of (j/(-24))/(5/2) and -1/2.
20
Let d = 20282 + -20279. What is the smallest common multiple of d and (-1)/(4/2)*-24?
12
Let z = 2/20419 - 83357/642565511. Let o = 2360153/692318 - z. Calculate the common denominator of o and 151/6.
66
Let a(z) = -3*z**2 + 3*z**3 - 4*z**3 + 4*z - 2*z**2. Calculate the smallest common multiple of a(-6) and (-567)/(-54)*3*(-8)/(-18).
84
Let v = 37318/9 + -4138. Find the common denominator of (195/(-10))/(18/2) and v.
18
Let m be 58*((-29)/(-12) - (-44)/(-11)). Let j = 103 + m. 