multiple of 16 and h?
20592
Let f = 13151736290 - 3590429064758/273. Let a = f + 18526. Let l = -2693/182 - a. What is the common denominator of l and 27/22?
66
Let q(o) = -3*o**2 - 4*o + 3. Let b be q(1). What is the common denominator of 13 + -5 + b - 47/18 and -107/18?
18
Suppose 5*b - 50 = 7*b. Let l be ((-2570)/b)/((-6)/(-5)). Let f = -85 + l. What is the common denominator of f and -37/7?
21
Let a be (2/(-3))/1 - 4072/(-18). Let j = a - 3829/18. Find the common denominator of -49/10 and j.
30
Let g = -8654 - -190351/22. Let x = 508276 + -7110623/14. Let a = x - 374. What is the common denominator of a and g?
154
Suppose -34 = -4*g + 22. Let f(y) = -y**2 + y - 54. Let t be f(0). Let j = -32 - t. Calculate the lowest common multiple of g and j.
154
Calculate the lowest common multiple of 273 and 170/102 + (-930)/(-9).
1365
Suppose 213 = 3*h + 4*y, 5*h - 83*y + 78*y = 390. What is the least common multiple of 2 and h?
150
Suppose 4*x + 3*g - 52 = 0, 0 = -5*g + 3*g + 8. What is the lowest common multiple of 34 and x?
170
Suppose -2*m - 273 + 9 = 0. Find the common denominator of ((-8)/m)/((-4)/(-183)) and 57/2.
22
Calculate the common denominator of -3 - -1 - (-1178)/228 and 1350/28 - (-4)/14.
6
Let a(y) = -y + 13. Let j be a(13). Let p be j*(-4)/8 - -3. Suppose -4*m + p*h + 12 = 0, -2*h = -5*m + h + 18. What is the least common multiple of 10 and m?
30
What is the common denominator of 2/14 - (-2)/(5936/556) and 61/3?
318
What is the least common multiple of (-3 - 7)/((-48)/384) and 48?
240
Let c(w) = 6*w**2 + w - 2. Suppose -14*z + 30 = -19*z. Let d = 10 - z. Calculate the smallest common multiple of d and c(-2).
80
Let w = -21990 + 659611/30. Find the common denominator of 69/110 and w.
330
Suppose 0 = -5*g + 4*a - 27, 2*a - 9 = g + 3*a. Let v(c) = c**2 + 6*c + 1. Let w be v(g). Calculate the common denominator of (354/(-72))/(2/w) and 119/6.
6
Suppose -8*c - 20 = -13*c. Suppose c*l - 12 = 0, -m - 4*l - 564 = m. What is the common denominator of 150/4*12/m and 99/8?
16
Calculate the least common multiple of 6 and (81/18)/((-6)/(-8)).
6
Let k be (0/1 - -2) + -5. Suppose 0 = -5*b - 5*r - 165, -2*b - 15 = -2*r + 39. Find the common denominator of b and (6/4)/(k/55).
2
Let q = 50/7 - 13743/1925. Let f = q + 1173/550. Let m = 3/1714 + -45451/17140. What is the common denominator of m and f?
220
Find the common denominator of 79/222 and (1786/120 - 9/(-45)) + -3.
444
Let f(q) = -31*q - 406. What is the least common multiple of f(-16) and 18?
90
Let s = 74857/31966 + -5/5812. Calculate the common denominator of -61/68 and s.
748
Let q = -16 - -19. Suppose -52 = -q*g + 2. Calculate the smallest common multiple of 22 and g.
198
Let m be (-585)/27 - -21 - (-919)/(-39). Let i = -18023153/78 + 231060. Let z = m - i. What is the common denominator of -25/3 and z?
6
Suppose t = 2*t. Suppose t = -s - s - 3220. Let n = s + 25733/16. Calculate the common denominator of n and 53/12.
48
Let s = 4 - 3. Suppose -13 = -z + s. Calculate the least common multiple of z and 1/(124/48 - 3)*-5.
84
Let i(l) = l**2 - 3*l + 4. Let q be i(3). Suppose q*r - 12 - 8 = 0. Calculate the smallest common multiple of r and (-38)/(-3) + 16/12.
70
Calculate the common denominator of 2/420*137 - 17/(-51) and -54/35.
70
Suppose -5*j - 2*h = -401 - 309, -2*j = -3*h - 303. What is the lowest common multiple of 32 and j?
288
Find the common denominator of 37/10 and 39/(-44)*(-10)/240.
1760
Let f(b) = -3*b + 15. Let t be f(0). Suppose 3*q - 7*q - 2*z + 42 = 0, -q = -4*z - t. Calculate the smallest common multiple of q and 11.
11
Let a = 3327 + -3315. What is the least common multiple of a and 85?
1020
Calculate the common denominator of 8/(-40)*254/56 and 29/10.
140
Suppose -21 = -3*s - 0. What is the lowest common multiple of 443 and s?
3101
Let f = 375 + -364. Let d(c) = c**2 - 3. What is the lowest common multiple of d(-5) and f?
22
Let t = -33549/20 - -1677. Find the common denominator of t and -83/288.
1440
Let j = 1348 - 1176. What is the smallest common multiple of j and 5?
860
Suppose 3*i - 9 = 0, 4*i - 4 = -5*z + z. Let x = -2/821 - -33669/3284. What is the common denominator of x and (204/(-8))/((-7)/z)?
28
Let p = 249 - 111. Let j = 272 - p. What is the lowest common multiple of j and 10?
670
Calculate the lowest common multiple of (-2 - -3)*(-13)/((-26)/12) and 46.
138
Let o(t) = t**2 + 12*t + 6. Let y be o(-4). What is the least common multiple of (17 - y) + (-1 - 2) and 2?
40
Find the common denominator of 67/27 and (4/6)/((-315)/(-609)).
135
Suppose -5*t + 42 = -2*t. Let q be ((-4113)/(-21))/(4/t). Let r = q - 5459/8. Calculate the common denominator of 11/4 and r.
8
Let n = -2357 + 11833/5. Let l = 0 + -4. Calculate the common denominator of 100/6 + l/(-6) and n.
15
Suppose 4*p = 4*r - 2*r - 3360, 5*p + 4202 = 2*r. Let g = 11729/14 + p. Find the common denominator of (-1)/12*((-8 - -15) + -6) and g.
84
What is the common denominator of 132/484 - 1334/1584 and -65/63?
504
Calculate the lowest common multiple of 35 and ((-1)/(7/(-8)))/((-28)/(-490)).
140
Let c = 5 - -18. Let b = c - 3. Calculate the least common multiple of b and 22.
220
Suppose t + 3*h + 3 = 0, 2*h + 30 = 7*t - 3*t. Let k = 14 - 14. Suppose -z - 11 + 29 = k. Calculate the least common multiple of z and t.
18
Suppose 0 = -3*s + 5*s + 48. Let n = 30 + s. What is the smallest common multiple of n and (-14)/(-2) + -2 + -1?
12
Let v(f) = -41*f + 7. Let k be v(7). Let n = -1/13 - -33/260. What is the common denominator of (12/k)/(2/(-21)) and n?
20
Calculate the smallest common multiple of (-2)/(12/(-678)) - 8 and 75.
525
Suppose -5*j = -5*o + 5, 3*j - 3*o = j + 2. Let p be 779045/150 - 1/j. Let q = 5209 - p. What is the common denominator of q and 35/11?
66
Suppose 4*r + 4*h = -4, 0 = r - 6*r - 2*h + 10. What is the common denominator of -10/11 and 83/2*(0 - 2/r)?
44
Let r(f) = -16*f**2 - 27*f + 1. Calculate the lowest common multiple of r(-1) and 56.
168
Let y be 3*-2*(-1)/(-2). Let x(n) = 3*n**3 - 20*n**2 - 12*n + 38. What is the least common multiple of x(7) and 7 + y/((-3)/(-2))?
15
Let f(k) = 4*k - 4. Let x(r) = -13*r + 13. Let n(q) = -7*f(q) - 2*x(q). What is the least common multiple of n(-2) and 2 - (8/(-10))/((-4)/(-10))?
12
Let u be 1178/(-12) + 11/66. Calculate the common denominator of ((-1)/4)/((-6)/u) and -9/2.
12
Let s = 77108 - 33310687/432. What is the common denominator of -127/90 and s?
2160
Let c(i) be the first derivative of 2*i**3/3 - i**2 - 2*i - 2. Suppose 0*r - 6 = 5*d + 4*r, 5*r = -2*d + 1. Calculate the lowest common multiple of 20 and c(d).
20
Let d(n) = 22608*n. Let l be d(-3). Let o be -1 - (1 - (-428019)/l). Let a = o - -5/2826. What is the common denominator of -29/10 and a?
80
Suppose -8*y = -57*y + 2156. Calculate the smallest common multiple of 404 and y.
4444
Suppose -4*s + 400 = -5*b + 67, 3*b + 2*s = -191. Let r = 81 + b. Calculate the least common multiple of r and 2.
16
Let v(b) = 2*b - 14. Let o be v(6). What is the common denominator of (-2)/(-20)*-49 - 0 and (-32)/(-12) + o - 219/18?
10
Suppose -29 = -2*s + 3*w, -s + 2*w + 2*w = -27. Let b = 10 - s. What is the least common multiple of b and 0*3/6 - -7?
21
Let t = 347 - 235. Let d = t + -92. What is the smallest common multiple of 8 and d?
40
Suppose -5*a = 4090 + 155935. Let h = a + 2816409/88. Calculate the common denominator of h and -123/20.
440
Suppose -5*c + 85 = -5*x, 0 = -4*x - 3*c - 34 - 41. What is the least common multiple of 3/(-2)*16/x*6 and 20?
40
Calculate the lowest common multiple of 103 + (-35)/(5 - -2) and 7.
98
Let l = 28 + -26. Suppose 4*s = 4*v - 36, l*v = -2*v + 5*s + 35. Suppose u + 2*u = -5*z - 7, v = 2*z - 2*u. What is the least common multiple of 38 and z?
38
Suppose 3*r = -5*m - 0*r + 66, -r = -2. Suppose 0 = 9*j + 86 - 248. Calculate the least common multiple of j and m.
36
Let q be ((-38)/(-24))/(32/(-143648)). Let z = q + 7103. What is the common denominator of (-97)/44*(2 - 0) and z?
132
Let k = -535 - -34804/65. Find the common denominator of k and -59/40.
520
Find the common denominator of ((-184)/496)/(-1 - -2) and (-84)/(-72) - 2/(4/6).
186
Let y = -145/6 - -829/33. Calculate the common denominator of -7/2 and y.
22
Let l = 2/52471 + -4145275/1731543. Find the common denominat