(j) = -60*j. Let k be l(c). Let n = k - 42. Calculate the lowest common multiple of 6 and n.
18
Suppose 24 = 7*p - 3*p. Let v be 6/(-45)*-3*60. Suppose -2*i - 2*i = 16, -2*s = 5*i - v. Calculate the lowest common multiple of p and s.
66
Let m(z) = 2*z**2 + 3*z - 7. Let w be m(-3). Suppose 5*a = -w*a + 70. Calculate the smallest common multiple of 2 and a.
10
Suppose 2*s = 3*h - 21 - 5, 0 = 2*h + 3*s - 26. Calculate the least common multiple of (2/4)/(3/36) and h.
30
Suppose -72 - 60 = -4*k. Calculate the common denominator of (190/175)/((-4)/(-25)) and ((-62)/8)/(k/18 + -1).
70
Find the common denominator of ((-4)/5860)/(6/7275) + 1 and 87/16.
4688
Let k = -21223/68499 + -106/1161. Calculate the common denominator of k and 23/9.
531
Let l = 1/9216 + -520711/64512. Find the common denominator of 7/36 and l.
252
Suppose 5*n - 170 = -5*j, 0 = 3*j - 4*j - 1. Suppose -t = 4*t - n. Calculate the common denominator of ((-1)/1 - 1)/t and -151/6.
42
Suppose -s - 5*r = -143, 4*r = 3*s + 2*s - 657. What is the common denominator of s/55 - 8/(-20) and ((-271)/45 + (-56)/(-420))/2?
198
Suppose 0 = -j + 5*t + 18 - 6, -4 = 2*t. Let v(u) = u + 10 + 12*u**j - 6*u**2 - 5*u**2 - u**3. What is the least common multiple of v(0) and 20?
20
Let h(k) = 3*k**3 + 61*k**2 + 20*k + 2. Suppose -27 = -2*b - 3*v, v + 17 = b + 6*v. What is the least common multiple of h(-20) and b?
12
Let p = 5687/61200 - -1/2448. What is the common denominator of p and 25?
75
Let l be (-1872)/(-10) + 2/(-10). Suppose -8*f - l = 205. Calculate the common denominator of 1/(1 + 60/(-58)) and f.
1
Let n = 962 - 920. Calculate the smallest common multiple of 36 and n.
252
Suppose 2*c = 2*p - 12, p + 3 = 2*p + 2*c. Let a(w) = -w**3 + 5*w**2 + 2*w - 2. Let j be a(p). Let o = j + 0. Calculate the least common multiple of 18 and o.
72
Let u = 28914029/21 - 1377209. Let a = u + 149700/427. Let y = a + -13805/732. Find the common denominator of 8/9 and y.
36
Let f be (52/4)/(-1) + -2. What is the least common multiple of 20/6 - (-7 - 110/f) and 6?
6
Let x = 491 + -486. What is the lowest common multiple of x and 1?
5
Suppose 0 = 5*o + c + 848 + 29, 3*c = -2*o - 356. Let y = -123 - o. What is the common denominator of -59/8 and ((-6)/y)/((-42)/742)?
104
What is the common denominator of 101/(-124) + 4/(-16) and (-110)/18 - ((-200)/24 - -8)?
279
Let g(z) = z**3 + 8*z**2 + 4*z + 12. Let x = 45 + -39. Calculate the least common multiple of x and g(-7).
66
Calculate the least common multiple of -10 + 10 + (13 - -1) + 4 and 36.
36
Let r = -8 + 26. Let n be 4236/r*6/4. What is the common denominator of 41/4 and (-15)/25 + n/(-45)?
36
Let a(h) = -h**2 + 13*h - 26. Calculate the smallest common multiple of a(8) and 117/12 - 2/(-8).
70
Let d = 15467/74472 + 2/3103. Find the common denominator of 538/48 + -3 + 95/30 and d.
24
Let c(q) = q**2 - 3*q + 4. Let n(p) = p**2 - 2*p + 5. Let t(k) = -3*c(k) + 4*n(k). Let o = 98 - 102. Calculate the smallest common multiple of t(o) and 6.
60
Let k(i) = -2*i**3 - i - 1. Let h be (-25)/20 - (-3)/12. Let u be k(h). Find the common denominator of 202/(-28) + (4 - u) and 17/14.
14
Let n(g) = 2*g**2 - 41*g + 279. Calculate the lowest common multiple of 2 and n(18).
378
Let r = -224561/14 - -16047. Let j = -6656 - -93245/14. Find the common denominator of r and j.
14
Let i = 4633/8 + -585. Find the common denominator of 23/8 and i.
8
Let f = -30 + -22. Let m = 55 + f. What is the smallest common multiple of 3 and m?
3
Find the common denominator of -17/212 and (49 + 0)*148/47064.
636
Suppose -2*a - 3459 = -3*h - 0*h, 5*h + 5217 = -3*a. Calculate the common denominator of 177/6 + 0 + 3 and a/252 - 6/21.
6
Let z(s) = s**2 - 5*s - 2. Let i be z(6). Suppose 0 = 2*x - i, -x - 8 = -o + 1. What is the least common multiple of 7 and o?
77
Suppose x + 2*q - 46 = 0, -2*x - 2*q - 50 = -136. What is the least common multiple of (-10 - (-3 + 4) - -4)*-2 and x?
280
Let h(b) = 2*b + 5. Let q be h(-3). Let i be (-1)/q - (14 + -5). Calculate the common denominator of 12/7 and i/(-10) - (-42)/(-40).
28
Let k(b) = b**3 + 8*b**2 + 7*b + 5. Suppose -h - 10 + 3 = 0. Calculate the least common multiple of k(h) and (-2 - -23)*15/35.
45
What is the lowest common multiple of 70/3*(6/3 - -16) and 2?
420
Calculate the common denominator of 16/28 - (-562)/168 and 97/60.
60
Let m = -4728 - -340429/72. Find the common denominator of 73/189 and m.
1512
Calculate the common denominator of ((-5)/(-18))/(675/14715) and 19/75.
450
Let r = 11174 + -111849/10. What is the common denominator of 77/48 and r?
240
Suppose 8*t = 10*t - 252. Calculate the common denominator of 6/(-21) - 2841/t and 0 + (-171)/12 - -2.
12
Let c = 19747/4 - 110681939/22420. Let u = c - -521293/156940. Calculate the common denominator of -4 + ((-81)/(-30) - 1) and u.
140
Let y be 9/4 + 4/(-16). Calculate the lowest common multiple of y/9 - 752/(-18) and 5 - 3 - (6 + -16).
84
Let c(n) = 22*n - 10. Let p be c(5). What is the lowest common multiple of (-1 - (-20)/8)/(15/p) and 18?
90
Let l = 134 - 104. What is the smallest common multiple of 7 and -75*(-3)/l*18?
945
Find the common denominator of 255/396 - (-2)/(-8) and (6/5)/(693/(-350) - 0).
33
What is the common denominator of -43/21 and (3 + (0 - 1))*(-517)/(-154)?
21
Suppose -10*l = -12*l - 4*x + 26, x + 11 = 3*l. Calculate the smallest common multiple of 21 and (2 + 0 - 3/15)*l.
63
Let w be (-90)/25*(-5)/(-2). Let u be w/(-12) - 4773/(-12). Let s = u + -1174/3. Calculate the common denominator of s and -47/5.
30
Suppose 0 = 2*f - 3*u - 61, -5 = 5*u + 10. Suppose -5*p - y = -37, -3*y - 3 = 4*p - f. Calculate the least common multiple of p and 6.
24
Let a = -15624 - -3187361/204. What is the common denominator of 127/18 and a?
612
Let u be 9/(-36) - (-113)/4. Suppose 2*y = -0*y + u. Calculate the lowest common multiple of y and 20.
140
Let l = -9 - -21. Suppose -l = -c + 10. Calculate the smallest common multiple of (-1 + 52/(-20))*-5 and c.
198
Let r = -21910394 + 482546497/22. Let y = 23533 - r. What is the common denominator of y and 71/22?
22
Suppose 0 = 5*p - 0*p - 10. Let d(r) = 2*r + 0*r**3 - r + r - 2 + r**3. Calculate the lowest common multiple of d(p) and 2.
10
Let i be (-2290)/24*(-2)/((-4)/(-33)). Let n = i - 1567. Calculate the common denominator of 35/4 and n.
8
Let l = -10 - -14. Let a be (3/6)/((-1)/2). Let f = 4 + a. What is the lowest common multiple of f and l?
12
Suppose 3*q - 11 = 43. What is the smallest common multiple of q and ((-66)/55)/((-2)/30)?
18
Let l = -14 + 15. What is the common denominator of (-8)/(-2)*306/528 and l/(-8)*94 + -4?
44
Suppose 2*g = 2*d + g - 77, -6 = 2*g. Suppose -4*c - 3*n = n - 20, d = 5*c + n. Let v = -9 - -14. What is the least common multiple of v and c?
40
Let x be (-3 - -4) + (-98 - -1). Calculate the common denominator of ((-9)/x)/((-9)/582) and (-2)/10*(-871)/26.
80
Suppose 0 = -3*t + z + 40, -t + 20 = -0*z - 2*z. Suppose -4*v - 174 = -7*v. What is the smallest common multiple of v and t?
348
Let s = 54758 - 656569/12. Let t = -235/6 + s. What is the common denominator of 1 and t?
4
Let t = -90/13 + 557/26. Calculate the common denominator of 58/321 and t.
642
Suppose -151 = -2*p + 89. What is the smallest common multiple of 10 and p?
120
Let m be (0 + 2/22)*(-1274116)/(-31406). Let b be 0 - 1*15/383. Let v = b - m. Find the common denominator of v and 23/2.
22
Let r = 879/19 + -15755/304. What is the common denominator of 1/34*(-23)/(-1) and r?
272
Let w(k) be the second derivative of -k**5/20 - 13*k**4/12 - 5*k**3/6 - 10*k**2 + 9*k. What is the smallest common multiple of w(-13) and 18?
90
Let i(h) = -h + 1. Let p be i(-11). Suppose 0 = 3*y + 4*r - 18, -2*y + 0*y - r = -p. What is the least common multiple of y and 4?
12
Let r = 294 + -1197/4. Calculate the common denominator of r and (-2)/(-9) + 440/(-240).
36
Let r = -4618/15 - -308. Let i = r + -1/3. What is the common denominator of 57/5 and i?
5
Let j = -165 + 35. Calculate the common denominator of (1/6)/((-13)/j) and 20/11.
33
Let o = -28 - -16. Let v = o - -8. Calculate the common denominator of 103/18 and v/(22*4)*-24.
198
Let s = 366/7 - 4003/70. Calculate the common denominator of s and -95/14.
70
Let z = 11 + -9. Let q(g) = 4*g**z + g - 2*g + 2*g - 2 + g. Calculate t