?
220
Let h(n) = n**2 + 2. Let q be h(-6). Suppose -2 = -10*x + q. Calculate the smallest common multiple of 9 and x.
36
Let b = -4 + 18. What is the least common multiple of b and -6 - -6*(-7 + 10)?
84
Let y be -2 + 2*1 + (10 - 4). What is the common denominator of 306/(-48)*5/y*2 and (-286)/(-168) - (-4)/(-14)?
24
Let u = -50 + 58. Calculate the smallest common multiple of u and 28.
56
Let d(i) = -i**3 + 2*i + 2. Let p be d(0). Suppose 0*a - a + 2*c = 1735, -5*a + p*c = 8659. Let w = -12161/7 - a. What is the common denominator of w and -49/4?
28
Let s = 2825 + -2813. Calculate the least common multiple of 420 and s.
420
Let o(h) = 6*h**2 + 2*h - 2. Let w = -26 + 24. Calculate the smallest common multiple of 24 and o(w).
72
Let z be 12255/90 - (-1)/(-6). Let a = 174 - z. Calculate the smallest common multiple of a and 14.
266
Let d(j) be the third derivative of -j**5/60 - j**4/6 - j**3/6 - 7*j**2. Let o be d(-4). What is the common denominator of -41/10 and (-133)/(-42) - 4*o?
30
Suppose 0 = 5*d - 3*d. Let l be (-7 + d)/((-6)/12). Calculate the smallest common multiple of (l/5)/((-1)/(-5)) and 20.
140
Suppose 2*w = -2, 4*d + w = 5*w - 48. Let s(o) = -6*o - o**2 - 2*o - 3*o. Find the common denominator of s(d) and 77/10.
10
Let u(m) = 4*m**2 - m. Let d = -8 - -9. Calculate the smallest common multiple of u(d) and (-4 - 25/(-5))*(2 - 1).
3
Let j = -9 - -3. Calculate the lowest common multiple of (0 + (-22)/(-6))/((-1)/(-3)) and j/(-2*(-9)/(-12)).
44
Let u = 990 - 555. What is the common denominator of -4 + u/(-110)*-2 and -23/43?
473
Let t = 6 - 7. Let c(l) = -2*l**3 + l**2 + l. Let y be c(t). Suppose -y*z - 11 = -3*d, 4*z + 11 = -2*d - 3*d. What is the lowest common multiple of 4 and d?
4
Suppose -r = 2*x - 444, -7*x = 3*r - 2*x - 1328. Let s = 3928/9 - r. What is the common denominator of 85/8 and s?
72
Let b = 2987 + -23925/8. Let v be (27/(-6))/(2/(-12)). Find the common denominator of b and (v/60)/((-12)/310).
8
Suppose -3*p - 5 = -11. Let c be 1*-1 - (-44)/2. Let a = 32 - c. Calculate the smallest common multiple of p and a.
22
Suppose 15*u - 212 = 1108. Calculate the lowest common multiple of u and 56.
616
Let s(d) = 5*d + 4 + 0*d + 44*d**2 - 45*d**2. Let y(o) = 2*o - 6. Let b be y(5). Calculate the least common multiple of s(b) and 22.
88
Let g(j) = j**2 + 3*j - 6. What is the least common multiple of g(-5) and (1/(-10))/((-3)/(-24)) - (-504)/30?
16
Suppose 25 = k - 4. What is the lowest common multiple of 11 and k?
319
Let s(d) = 3*d - 323. Let b be s(0). Let w = 3563/11 + b. Find the common denominator of w and -42/11.
11
Let o = -202/39 + 9403/1326. Calculate the common denominator of o and -6/11.
374
Let r = 25337/3570 - -1/357. Let y(k) = 35*k + 10. Let j be y(-4). Find the common denominator of j/(-12)*14/35 and r.
30
What is the smallest common multiple of ((-72)/2)/9 - -46 and 18?
126
Suppose 0 = n + 1 - 4. Suppose 108 = 4*d + n*a, -4*d + 104 + 8 = 4*a. What is the least common multiple of 14 and d?
168
Let s = 12 - 30. What is the common denominator of (-46)/s*5/2 and 49/4?
36
Suppose 19*y = 22*y - 15. Let q(o) = -o**2 + 6*o - 4. Calculate the lowest common multiple of 32 and q(y).
32
What is the common denominator of 1 + ((-47)/(-20) - 3) and -4 - (-186)/20 - 0?
20
Let v be -4*(-1)/7 - 192005/13552. Let d = v - -197/11. What is the common denominator of d and -87/20?
80
Calculate the least common multiple of -1 - 24/(-15) - (-285)/25 and 432.
432
Suppose 0*g + 4 = g. Let o be 144/(-84)*(-14)/g. Calculate the smallest common multiple of (-9)/o*132/(-9) and 8.
88
Let j(w) = -w - 4. Let u(q) = 2*q**2 + 10*q - 2. Let k = 47 - 53. Calculate the smallest common multiple of j(-6) and u(k).
10
Suppose -6*x + 21092 = -5*x. Let v be 4/(-8)*(0 - x). Let h = -147561/14 + v. What is the common denominator of h and 91/4?
28
Let m(i) = -i - 907. Let v be m(0). Let j = 8155/9 + v. Calculate the common denominator of j and (3 - 60/9) + 1 + 3.
9
Let k = -31387/16 + 1959. Find the common denominator of -57/16 and k.
16
Let k be 115/10 - (-6)/(-4). Suppose 4*g = -2*v, -3*g = -2*v - k - 4. Calculate the lowest common multiple of 8 and g.
8
Suppose 10*p - 42 + 12 = 0. Suppose 4*l + 20 = 2*t, 8*l = -2*t + p*l - 16. Let u(s) = s**2 + 2. What is the least common multiple of u(2) and t?
6
Let v = 112137426 + -3812999835/34. Let f = v + 9625. Calculate the common denominator of f and 43/22.
374
Let i(q) = 297*q. Let z be i(2). Suppose -9 = -3*p - 0*p, 0 = r - 2*p - 5. Find the common denominator of -83/18 and 2/r + (-669)/z.
18
Calculate the smallest common multiple of 40 and (-8 - -49) + (-3 - 7/(-1)).
360
Suppose 11*a - 37 - 293 = 0. Calculate the lowest common multiple of a and 21.
210
Calculate the least common multiple of 16 and ((-4)/6)/((-2)/54).
144
Let p = 5778539/96 + -60194. Calculate the common denominator of p and 19/4.
96
Let i(k) = k**2 - 3*k + 6. Suppose 38 - 25 = -13*c. What is the lowest common multiple of i(5) and 38/114*(c - 49*-1)?
16
What is the least common multiple of 5 and 2/(((-9)/123)/(-3))?
410
Let j = 81020136799/4729390662 + 19186/534153. Let z = j + -2/4427. Find the common denominator of 714/12*2/10 and z.
30
Let d be 1621/(-210) - (-2)/(-5). Let h = d - -9/7. Calculate the common denominator of h and 735/(-14) - (-5 - -3).
6
Let t(k) = k**3 + 15*k**2 - 14*k - 24. Let o be t(-16). What is the smallest common multiple of -7*4*4/o and 2?
2
Let a be (-4)/14 + 39972/(-42). Suppose -4*k = -k + 3*p - 27, -3*p = 0. Calculate the smallest common multiple of k and (-4)/(-22) - a/88.
99
Suppose -3*q + 47 = 2. Let n = 4 - -1. Let s = q + n. Calculate the lowest common multiple of 14 and s.
140
Suppose 11 = b - 0. Suppose 2*f + 6 = 0, i + 2*f = 2 - 5. What is the least common multiple of b and i?
33
What is the lowest common multiple of 5 and (-6 - 10/(-30))*216/(-3)?
2040
Let o(a) = 29*a + 939. Suppose -3*k = 4*p - 188, 5*p - p = -k + 68. What is the lowest common multiple of o(-32) and k?
660
Find the common denominator of (3/42)/((-3)/333) and (3/(-165))/(2/(-335)).
154
Let s be ((-2)/30)/(3/(-60381)). Let r = s + -181373/135. What is the common denominator of r and -76/33?
297
Let a = 97 - 208. What is the common denominator of -8*(-4 - -2)/12 and a/15 - (1 - 1)/3?
15
Suppose -6*u = 469 + 179. What is the lowest common multiple of ((-1)/3)/(6/u) and 4?
12
Find the common denominator of 286/(-77)*(-42)/120 and -55/268.
1340
Suppose -3*t + 3 = -6. Let l be 1*4*t/12. Calculate the smallest common multiple of ((-8)/10)/(l/(-15)) and 10.
60
Let p(a) = -a**3 + 31*a**2 + 51*a - 581. Suppose 5*o - 4*g + 21 = 155, o - g - 26 = 0. Calculate the lowest common multiple of o and p(32).
270
Let a = 13889 + -833309/60. Calculate the common denominator of a and 43/12.
60
Let q be 22/(-3) + (-8)/12. Let o be 8/3*15/10. Calculate the lowest common multiple of q/(-3)*(o - 1) and 7.
56
Suppose 2*t + 2*w - 66 = -0*w, 45 = 2*t - 5*w. Let i = t - 27. Suppose i*p + 10 = -5*l + 43, -l - 51 = -3*p. What is the least common multiple of 16 and p?
16
Let f(u) = -u**2 - 41*u + 133. Calculate the lowest common multiple of f(3) and 4.
4
Let h(v) = 2*v + 6. Calculate the smallest common multiple of 384/30 + 32/(-40) and h(9).
24
Calculate the common denominator of 13*(1107/276 - 4) and -61/20.
460
Let z = -2751 - -38419/14. Find the common denominator of ((-3)/(-20))/((-9)/(-5)*2) and z.
168
Let b(g) = 26*g - 1. Let u be b(1). Suppose -10 - 5 = -3*i. What is the lowest common multiple of 31/5 - i/u and 20?
60
Calculate the common denominator of -50/27 and ((-4)/60)/(1/(-22)).
135
Suppose -x = -2*b, 0 = x - 5*b - 0*b + 12. Let v = 5/191 - -5811/4202. Calculate the common denominator of v and 60/x + (2 - 0).
22
What is the common denominator of 3 - 304/162 - (4 - 2) and -40/9?
81
Let y = -1/1829 - -217657/10974. Let l(q) = 3*q**3 + q**2 - 3*q - 2. Let d be l(3). Calculate the common denominator of d/110 - (-4)/(-10) and y.
66
Suppose -2*s - 3*r + 31 = 0, 4*s - 4*r - 4 = 8. Suppose 55 = 4*c - 85. Let u = c + -13. Calculate the smallest common multiple of u and s.
88
Let p(f) = -1176*f**2 + 3*f - 2. Let u be p(2). Let a = u + 46901/10. What is the common denominator of 9/46 and a?
230
Suppose -8*x - 80 = -q - 4*x, 3*q - x - 218 = 0. Calculate the smallest comm