j. Let o be i(j). Calculate the common denominator of -57/10 and 9 - 5 - 286/o.
120
Let p be -9 - (4567576/(-192) + 0). Let q = p + -23786. Find the common denominator of q and 21/11.
264
What is the common denominator of 1/13 and ((220/(-40))/(4/(-18)))/30?
520
Let r(k) = 4*k**2 - 5*k - 21. Let m be 8/(-20)*5 - 2/2. Let c be r(m). Let a = c - -6. What is the lowest common multiple of a and 4?
36
Let h(x) = x + 16. Let p be h(-10). Find the common denominator of 4/p*(-2)/(1720/(-27)) and -93/16.
3440
Suppose -3*u + 26*a - 21*a - 144 = 0, -4*a = -3*u - 147. Let t = u + 97. Calculate the smallest common multiple of 92 and t.
1012
What is the least common multiple of 72 and 315/14*(-120)/(-75)?
72
Find the common denominator of ((-35)/(-126))/((-4978)/453 + 11)*1 and 14/36*(-2)/4.
36
Suppose p - 2*p = -q - 25, 5*p + 4*q - 143 = 0. Suppose h - 49 = 15. Suppose -4*u - f + 3 = -h, 4*f + 2 = -u. What is the smallest common multiple of u and p?
54
Calculate the common denominator of (-3 - (-45)/6) + 4081/(-848) and 2 + (-607)/120 + 2.
240
Let y(g) = g**2 - 88*g + 4. What is the lowest common multiple of y(88) and 207?
828
Let j(c) = -c**3 + 14*c**2 + 23*c + 24. Calculate the smallest common multiple of 12 and j(10).
1308
Let u be (-2 - (-27)/6)*-2. What is the lowest common multiple of 142 and (-6)/(-15) + (-88)/u?
1278
Let v be 2/(-6)*(6 + -9). Let r be v/(-1 - (-2847)/2846). Let m = r - 34129/12. What is the common denominator of 95/24 and m?
24
Calculate the common denominator of -103/400 and 1*(-3 + 678/225)*(-8950)/(-80).
1200
Suppose 0*r - 5*s + 368 = 4*r, -2*s + 368 = 4*r. Calculate the least common multiple of 18 and r/3 - (3 + 7/(-3)).
90
Let d be (-18)/(-4)*14/21. Let f be d/18 - 30/(-36) - -1. What is the smallest common multiple of 20 and (3 - f) + 60/4?
80
Suppose -4*g - 57 = -65. Suppose 4*j = g*c + 112, -j - c + 21 = -7. Calculate the smallest common multiple of j and 36.
252
Let y(s) = 5*s**3 - 3*s**2 + 3*s - 1. Suppose 5*k = -25, -18*k + 96 = -3*f - 21*k. What is the smallest common multiple of y(2) and (-22)/(-2) - (f + 17)?
231
Let k = 61 + 3. Find the common denominator of ((-3400)/176)/25 - (-6)/(-2) and (-2)/3 - (-48)/k.
132
What is the common denominator of ((-343759)/(-14924) - 23)*(-21)/(-10)*1 and -121/100?
8200
Suppose 4266 = 1103*t - 1101*t + 5*x, -10623 = -5*t - 2*x. What is the lowest common multiple of 44 and t?
8492
Let h = 28130 + -9732965/346. Let x = h + 5935/2768. Calculate the common denominator of x and (-2)/(-2) + 138/12.
16
Suppose 5*r + 515 = 570. Suppose r*m = 903 + 1583. What is the smallest common multiple of 3 and m?
678
Let r = 2/6669 - 15577/53352. Calculate the common denominator of r and 83/52.
312
Let s(r) = 23*r**2 + 48*r + 45. Calculate the least common multiple of s(-3) and (21/(-12))/(2/(-24)).
756
Let v = 8 + 6. Let z = v + -10. Let s(y) = 3*y**2 - 18*y - 12. Calculate the lowest common multiple of z and s(8).
36
Suppose -4*j + 8 = -4*q, -j + 14 = 2*q + q. Suppose k = j*k - 284. Suppose -9*m + 1 = -k. What is the lowest common multiple of m and 42?
168
Let p = 11225 + -10790. Calculate the smallest common multiple of 66 and p.
9570
Let x = -26 - -36. Suppose 3*o = o + x. Suppose 104 = o*s + 4. What is the smallest common multiple of s and 12?
60
Find the common denominator of 1/4*(3 - -5*(-221)/299) and 64/33.
759
Let a = 151005 + -150984. Suppose 192 = 4*x + 5*w - 7, -3*w + 99 = 2*x. Let y = -18 + x. What is the least common multiple of y and a?
231
Suppose -12*f - 16 + 220 = 0. Suppose 19*i = f*i + 66. Let h(q) = q**3 - 4*q**2 - 3*q + 2. What is the lowest common multiple of i and h(5)?
132
Let d(g) = 103*g**2 + 194*g - 17. What is the smallest common multiple of d(-7) and 9?
3672
Let l = -757 - -1497/2. Find the common denominator of l and -51/967.
1934
Let p be -6 + 4 + (5 - -159). Let b = -112 + p. What is the smallest common multiple of 45 and b?
450
Suppose -4*u - 2*w = -11 - 137, 0 = 4*u - 5*w - 134. What is the common denominator of (8 + (-130)/u)*(-1 + -2) and 25/2?
6
Let v = -10333620 + 227386683/22. Let o = -4269/2 + v. Let c = 404915/9 + -44989. Find the common denominator of c and o.
99
Let i be (21/(-14))/(-3*4/24). Suppose -5*w + 45 = i*j, -w = -5*w. What is the lowest common multiple of 51 and j?
255
Let x = -30 + 55. Let m(u) = u**3 + 5*u**2 - 8*u - 10. Calculate the lowest common multiple of m(-5) and x.
150
Let b = -176064 + 1044409/6. Let t = -1974 - b. Let f = -11944/15 + 802. What is the common denominator of f and t?
30
Find the common denominator of 24/35 and ((-4)/84)/(10 - (-2290)/(-200)).
3045
Let j(i) = 3*i - 4. Let b be 0/(-3) + 2/4*-2. Let a(h) = -11*h**3 + h**2 + h + 1. Calculate the least common multiple of j(16) and a(b).
132
Suppose 133 = -4*l + 21. Let y be -10*l/(-48) + 1/(-6). Calculate the common denominator of 10/8*38/y and 21/16.
48
Let i = -1847 - -18373/10. Let q = -810/11 - -147/110. Let g = -125/2 - q. Find the common denominator of g and i.
10
Suppose -443 - 54 = -3*o - w, 5*o - 4*w - 817 = 0. Calculate the lowest common multiple of o and 81.
4455
Let i(l) = 73*l - 52. Let c be i(8). What is the common denominator of (c/(-21))/((5 - 3) + -1) and (-308)/(-80)*(-5)/2?
24
Let x = 1500710906/2271 - 660815. Calculate the common denominator of 44/3 and x.
2271
Suppose -2*o = -0*o - 6. Calculate the common denominator of 535/(-60) - (-1 - o) and -13/16.
48
What is the smallest common multiple of 14/91 - (4/26)/(25/(-146225)) and 1080?
5400
Let a = 3625/16982 + 1/1213. Find the common denominator of a and 101/486.
3402
Let l = 4349 + -26027/6. Suppose r = -g + 7, r = 3*g - 0*g - 1. Calculate the common denominator of l and r/(-90)*-17*1.
18
Let q = 39/332 - 7/1826. Calculate the common denominator of (3 - 0) + (-1137)/396 and q.
132
Let d(w) = -16*w - 150. Let c be d(-19). Find the common denominator of 21/2 and 9/(468/(-8))*c/(-12).
78
Let f = 4196 - 4186. Suppose -5*v = -2*v - 12. Suppose -10*z = -11*z + v. Calculate the least common multiple of f and z.
20
Suppose -n + 3*n + 2 = 0. Let b be (n*1)/((-24)/744). Suppose b*z = 26*z + 10. Calculate the least common multiple of 54 and z.
54
Find the common denominator of -62/5 and (75738/(-8410) - -1) + 31/(217/56).
4205
Suppose 0 = 5*o - 4*o - 45. Let y = 14758 + -14738. What is the lowest common multiple of y and o?
180
Let q be (-2)/222*(3 + (-1605)/565). Let r = q - 78521/639693. Calculate the common denominator of -17/30 and r.
1530
Let y be 20/(-15)*-3 + -40. Let q be y/14*70/(-15). Find the common denominator of -85/8 and q/112*(-1 + (-127)/3).
56
Let a(m) = -m**2 + m + 4. Let b = 6982 + -6954. What is the least common multiple of b and a(0)?
28
Let x be 2/5 + (-5088081)/1222515. Let t = x + 2/27167. Find the common denominator of 1/15 and t.
105
Let b(c) = c**2 - 18*c + 37. Let k be b(16). Suppose -k*s = -20, 0*f + 2*f = -s - 8120. Let q = f + 65045/16. What is the common denominator of 51/16 and q?
16
Suppose -156*l + 46*l + 106920 = 0. What is the smallest common multiple of l and 432?
3888
Let j = 292 + -287. Let o(k) = k**3 - 6*k + 13. Calculate the smallest common multiple of 15 and o(j).
540
Let j be 4/(-12)*41 - (-4)/6. What is the common denominator of 49 and 68/(-6) + (-15 - j - -6)?
3
Suppose -4*h + 53 = 348*w - 343*w, 63 = 5*h + 3*w. Calculate the lowest common multiple of 174 and h.
348
Suppose -12*n = -7*n + 5, -2*n - 164 = -2*k. Suppose -14*i + k + 3 = 0. Calculate the smallest common multiple of 158 and i.
474
Let n = 38564 - 35442. Calculate the lowest common multiple of n and 84.
18732
Find the common denominator of -6*8/(-128) - (-368)/896 and 3/13682.
95774
Let i(v) = -40*v**3 + 611*v**2 - 10*v + 3. What is the smallest common multiple of 16 and i(15)?
4656
Suppose 3 = 3*p - 4*z, z - 3 = -4*p + p. Calculate the common denominator of 17/4 and 402/(-36) + (p - 5) + 4.
12
Let f = -27263/10 + 376255/138. Find the common denominator of f and 67/805.
2415
Calculate the common denominator of -97/1018 and 510/306*4/30 - 29/(-72).
4072
Let t(y) = 15*y - 72. Let m(z) = -8*z + 35. Let d(g) = 5*m(g) + 3*t(g). What is the lowest common multiple of 458 and d(9)?
916
Let g(c) = 3*c - 3. Let s be g(7). Let a = -12 + s. Suppose -3*y + 9 = 3*r - 0*r, -4*r + 19 = -3*y. Calculate the least common mult