 0*z + 29 = 0, 35 = 5*s - z. Suppose l - 24 = -1. Let m = -7 + l. Calculate the lowest common multiple of m and s.
16
Let o(d) = 3*d + 2. Let l be o(-3). Let y be 1 + -1 - 56/l. Suppose 0 = 2*m - 2*z - y, 5*m = 6*m - 2*z - 6. What is the least common multiple of 18 and m?
18
What is the common denominator of 99/92 and (-9)/(-27)*((-78)/(-8))/1?
92
Let x(w) = -w. Let n(i) = -i - 5. Let l be n(0). Let o be x(l). Let j = 3 + o. Calculate the lowest common multiple of 12 and j.
24
Let g be -9*((-16)/(-6) + -4). Suppose 0 = 5*f - f - g. Calculate the smallest common multiple of f/(-5) - (-54)/15 and 11.
33
Let p = 153 + -114. What is the least common multiple of 6 and p?
78
Calculate the lowest common multiple of 86 and (3 - 6 - -1)*-9.
774
Let w = -5 + 17. Let o = w + -52. What is the common denominator of 2/(o/(-126)) + 2 and -51/20?
20
Let z be 0 - ((-2)/(-135))/(388/(-6)). Let i = z + -40159/4365. Let h = 19684/9 - 2179. Calculate the common denominator of i and h.
45
Let c = -390 - -395. Let u(h) = h**3 - 1 - 1 - 2*h**2 - 3*h**2 + 2*h. What is the least common multiple of u(c) and 36?
72
Let i(h) = h**2 - 23*h - 22. Let x be i(24). Suppose 5*b - x*v - 18 = 186, 2*b - 84 = 2*v. Calculate the least common multiple of 6 and b.
120
Let j(l) = 2*l**3 - 10*l**2 + 11*l - 30. Calculate the least common multiple of j(5) and 60.
300
Let t(d) = d - 1 - 9 - 3*d. Suppose -2 = 5*c - 12. What is the least common multiple of t(-6) and c?
2
Let h = -2598 + 2647. What is the smallest common multiple of 49 and h?
49
What is the smallest common multiple of (-10)/(-4)*((-22)/2 + 13) and 11?
55
Let q(v) = 2*v**2 - 20*v + 3. Suppose 200 = -3*g - g. What is the common denominator of q(10) and (-18)/(-10)*g/(-21)?
7
Suppose -5*d - n = -27, -d + 3 = 2*n - 6. Let g(u) = 3*u - 9. Calculate the lowest common multiple of 10 and g(d).
30
Let g be -3*(-9003)/5292 - (-3)/12. Let a = g + 1/294. What is the common denominator of 13/2 and a?
14
What is the common denominator of -11/10 and 173/42 - (-16 + 21)?
210
Let z = -1/869 + -1895/869. What is the common denominator of 52/37 and z?
407
Let r = -80 + 78. Calculate the lowest common multiple of 6 and ((-36)/(-9))/((r - 2)/(-2)).
6
Let s = 1 + -33. Calculate the common denominator of ((-2)/6)/(3/93) and (-14)/s*10/(-5).
24
Calculate the least common multiple of 80 and (-625)/(-250) + 299/2.
1520
Let q = -11771 + 59086/5. Let c = q - 1523/40. Let t = -187/47 + -1841/376. What is the common denominator of c and t?
8
Let x(i) = 5844*i + 1. Let t be x(-3). Let y = 210505/12 + t. What is the common denominator of ((-2)/24)/(24/(-90)) and y?
48
Let j = -19299547/90 - -214446. Let l = 17/10 - j. Find the common denominator of 31/9 and l.
9
What is the common denominator of (35/(-12) - -3)/(84/(-3924)) and 65/2?
28
Find the common denominator of 77/54 and (-3)/(-24)*8 - 199/60.
540
Let i = -142 - -164. What is the lowest common multiple of 72 and i?
792
Let g(w) = -21*w**3 + w**2 + 2*w + 1. Suppose -7*m + 12*m = -5. What is the smallest common multiple of 27 and g(m)?
189
Suppose 2*k + 2*r - 32 = -0*k, 12 = 4*r. Let g = 4 - 2. Calculate the lowest common multiple of g and k.
26
Let p = 26/4549 - -192227/591370. What is the common denominator of -47/20 and p?
260
Let s = 29 - 13. Let o(c) = 31*c**2 + 2*c. Let q be o(-2). Suppose 4*x = 4*t + x - q, 4*t = -5*x + 120. Calculate the lowest common multiple of s and t.
240
Let o be 30 + (-3)/(-3) + 2. Let m be ((-6)/4)/(o/88). Calculate the common denominator of m/(-8) + 237/(-102) and -11/4.
68
Let j = -3 + -4. Calculate the common denominator of ((434/(-4))/(-7))/2 and 2/j + 1714/168.
12
What is the smallest common multiple of 56 and (-988)/(-52) + 10/2?
168
Let w(c) = 16*c - 638. Calculate the least common multiple of 6 and w(47).
114
Suppose -12*i + 468 = -60. What is the smallest common multiple of 56 and i?
616
Suppose 216 = 5*i + 7*i. Calculate the least common multiple of 24 and i.
72
Let c(b) = b**2 - 7*b - 14. Let p = 24 - 14. What is the smallest common multiple of c(p) and 32?
32
Suppose f = -2*t + 8, -3*f = f - 4*t + 28. Let b be (-7564)/12*f/4. Let a = -314 + b. What is the common denominator of a and -85/14?
42
Suppose 8 = y - 3*y + 5*c, -y + 2*c - 3 = 0. Suppose -16 = 2*i - 4*m, -5*m + 3*m = -5*i - 8. What is the least common multiple of 5/(i + 10)*4 and y?
2
What is the common denominator of 17593/(-1314) - -11*1 and 5/306?
306
Let i be (-3)/((3 + 0)/(-3)). Suppose w - 3*w = i*o - 38, 5*w = -5*o + 70. What is the smallest common multiple of 5/10 + (-19)/(-2) and o?
10
Let r = 695 - 590. What is the least common multiple of 21 and r?
105
Let v = -2737 + 16051/6. Let w = 806/15 + v. Find the common denominator of 51/20 and w.
20
Calculate the lowest common multiple of (-54)/18*(-10 - -1) and 12.
108
Let a = -253 + 597/2. Let i = -35971/11 + 3273. Calculate the common denominator of i and a.
22
Let v = 36 - 14. Suppose -3*r - 6 = -6*r, 2*c - 2*r = 0. Suppose 5*j - 62 = -2*m - c*m, -2*j + 26 = m. Calculate the least common multiple of j and v.
154
Let l be 8/(-16) - (423339/(-360) - 0). Let m = l + -5887/5. What is the common denominator of m and -143/6?
24
Let l = -1459/24 + 423/8. What is the common denominator of ((-3368)/480 + 7)/((-2)/244) and l?
60
Suppose -4*t = -3*r + 45, 2*t - 5*r - 17 = 3*t. Let x be (-5163)/351 - 8/t. Let u = x + 158/13. Calculate the common denominator of u and 29/11.
99
Let w = 1420767/50 + -28414. Find the common denominator of w and -3/35.
350
Let v = -127 + 157. Calculate the least common multiple of v and 36.
180
Let j = 14/55 + 2117/110. Let a = -1918 + 13383/7. What is the common denominator of j and a?
14
Let m(u) = u - 11. Let g be m(-9). Let w be (48/g)/((-4)/10). What is the common denominator of 52/7 and ((-21)/w*8)/5?
35
Let w(d) = -1100*d**2 + 2*d - 2. Let k be w(1). Let l be k/8*(-16)/(-10). What is the common denominator of -10/11 and -3*(l/32)/(-5)?
88
Calculate the common denominator of -68/351 and (-27)/(-18) + 2/(-144)*-82.
1404
Let t(d) = d**3 + 10*d**2 + 2*d + 14. Let o be t(-10). Let f(c) = 2*c - 8. Let j be f(o). Find the common denominator of 77/20 and 118/(-132) - j/30.
220
Suppose 0 = -b + 3*w + 8, 52 - 152 = -4*b - 5*w. Calculate the lowest common multiple of b and 6.
60
Calculate the smallest common multiple of 75 and (28 + 2)*10/25.
300
Let r be 29363027/(-3720)*(-10)/(-24585). Let p = -1/207855 - r. Let v = 7/55 - p. What is the common denominator of v and -79/6?
12
What is the common denominator of 36/5 and 2 - ((-1605)/1330 + -4 + 7)?
1330
Calculate the common denominator of 39/80 and (-2)/16*(-134)/33*-3.
880
Let g be ((-7)/3 - -2) + (-278)/282. Let s = 3089/188 - g. Calculate the common denominator of s and 7/4.
4
What is the common denominator of (603/6)/(42*7) and 35/16?
784
Let m = -14 + 21. Calculate the lowest common multiple of (m/2)/((-1)/(-2)) and (-4 - (-2 - (4 + -5))) + 5.
14
Let q be (-14)/(-21) + 152/6. Let z = q - 17. Let d(h) = h**3 + h**2 - 1. Calculate the smallest common multiple of z and d(1).
9
Suppose 20*s + 4456 = 15056. What is the lowest common multiple of 16 and s?
4240
Let p = 34 + -32. Suppose p*x = -0*x + 20. Calculate the smallest common multiple of 10 and x.
10
Let s = -44 - -48. Let n(k) = 2*k**2 + 2*k + 1. Let a be n(3). Calculate the least common multiple of a/s + (-1)/4 and 2.
6
Let k = 4508855/84 + -53675. Calculate the common denominator of k and 101/30.
420
Let l = 47 + -29. Suppose -11*p = -48 + 4. What is the lowest common multiple of p and l?
36
Let h be (1 - -10) + (1 - 3). Calculate the common denominator of -99/2 and 142/33 + h/27.
22
Calculate the common denominator of (-138)/99 + (-2)/(-3) and ((-1020)/(-144))/(3 + 7/(-3)).
88
Suppose a = -0*a - 418. Let l = 2869 - 40189/14. Find the common denominator of a/60 + (-11)/33 and l.
70
Let p be 0*3/(-6)*-1. Suppose p = 4*u - r - 4*r - 7, -2*u + 3*r = -1. Calculate the lowest common multiple of u and 34/2 + 0 + -3.
56
Let o = -62/1365 + 30799/10920. Find the common denominator of -61/155 and o.
1240
Let t = -12 + 1. Let j(x) = x**2 + 9*x - 6. Let d be j(t). What is the common denominator of -59/5 and 1*(-1 - -1) + d?
5
What is the smallest common multiple of (-2)/(((-2)/(-9))/(-10 - -8)) and 1/(33/30 + -1)?
90
Let a = 153 +