2144. Let i be ((-3566)/10)/(1 + 0). Let v = i + r. Calculate the common denominator of -73/18 and v.
36
Let g = 196 - 182. What is the smallest common multiple of g and 4?
28
Let y(v) = -50*v**2 + 4*v + 5. Let r be y(-3). Let i = -1013/2 - r. Find the common denominator of -25/9 and i.
18
Suppose -t = -4 + 6. Suppose 4*q + y = 4, 3*y = -0*y. Calculate the smallest common multiple of t/13 - 30/(-26) and q.
1
Suppose -f = -3*h + 29 + 68, 5*h + 2*f = 158. What is the lowest common multiple of h and 22?
352
Let l(j) = j**3 + 5*j**2 + j + 6. Let w = -185 - -181. What is the smallest common multiple of 8*-2*((-21)/(-6) + w) and l(-5)?
8
Suppose s - 12 = 16. What is the common denominator of 46/5 and s?
5
Suppose -3475 = -o - 3175. Calculate the lowest common multiple of o and 33.
3300
Let v = 4960 + -99223/20. What is the common denominator of v and -21/16?
80
Suppose -5 = -2*s + 7. Calculate the smallest common multiple of 157 and s.
942
What is the least common multiple of 24 and 28/12*33 - -7?
168
Let t(d) = -d**3 + 4*d**2 - 5*d + 6. Let s be t(3). Let p be (s - 93)*(-6 + 5). What is the common denominator of p/60 + 3 + -1 and 7/10?
20
Let b = -10 - -24. What is the least common multiple of 24 and b?
168
Suppose 2*y - 5*r - 12 = 0, -5*y - 5*r + 24 = -y. Find the common denominator of 31/7 and (-147)/(-5)*2/y.
35
Let i = -2394099/50 - -47880. Find the common denominator of i and 77/60.
300
Let g = 199487037/406184 + 10/50773. Let p = g + -502. What is the common denominator of 69/16 and p?
16
Calculate the lowest common multiple of (140/(-16) - -8)*4*-1 and 14.
42
Let y = -18 - -21. Suppose 0*a - 4*a + 4*b = -124, b = -y*a + 81. What is the smallest common multiple of 20 and a?
140
Suppose 0 = -14*d + 16*d + 92. Find the common denominator of (d/(-12))/((-28)/126) and (-2)/4 - (-15 - 1).
4
What is the common denominator of 5 + (-198)/(-189)*(-36)/(-16) and -3/161?
322
Suppose 2*u + z + 0*z + 16 = 0, 5*z + 31 = -3*u. Let o = -6 - u. Suppose 5*l = -5*d + 40, d + 0*l - 6 = -2*l. Calculate the smallest common multiple of d and o.
10
Let t(z) = z**2 - 8*z - 13. Calculate the least common multiple of t(11) and 72.
360
Suppose -3*t = -21 - 9. Let x = t + -13. What is the common denominator of 121/10 and x/12 - 106/(-24)?
30
What is the lowest common multiple of 267 and (-19 + 21)*-6*(-2)/8?
267
Let z(k) = -2*k + 6. Let o be z(4). Let w be (-366)/(-24) - o/(-8). What is the common denominator of -28 and 182/w + 2/(-6)?
5
Let h = -6 - -3. Let a be 0 + h/(12/820). Let x = a - -1859/9. What is the common denominator of x and 121/6?
18
Suppose 0 = -5*d - 11*d - 208. Suppose 0 = 5*z + m - 121, -34 = -2*z - 2*m + 16. Let j = z + d. Calculate the lowest common multiple of j and 8.
88
Let h = -120 + 224. Suppose 0 = -14*r + 18*r - h. Calculate the smallest common multiple of r and 8.
104
Let o = 60227/28 - 2148. Calculate the common denominator of o and 66/35.
140
Let k(h) = -2*h**3 + 4*h**2 - 8*h + 2. Let w be k(6). What is the common denominator of 12/(-54) + w/360 and 11/28?
140
Suppose -33*p + 27*p = 234. What is the common denominator of 126/p - (-6 - (-6 + 2)) and -33/8?
104
Let q(v) = -6*v**3 + 0*v**2 + 0*v - v**2 + 0*v. Let s be q(-1). What is the common denominator of s/(200/(-364)) + 0 and 65/22?
110
Let x = -9 - -6. Let o be (-558096)/63*x/2. Let l = o + -212507/16. Calculate the common denominator of -113/14 and l.
112
Let s(p) = -p**2 - 12*p - 27. Calculate the lowest common multiple of s(-8) and 199.
995
Let d be (-505)/220 + 1 - 1. Let o = d - 43/22. Find the common denominator of o and -115/6.
12
Suppose -18 = -3*g - 2*x, -7 = -2*g + 2*x + 5. Find the common denominator of -4 + 865/150 + 3/g and -32/21.
105
Let c(s) = 4 + 2 + 2 - s. Calculate the smallest common multiple of c(6) and ((-112)/252)/((-6)/81).
6
Suppose 61*b = 59*b + 20. Calculate the least common multiple of b and 78.
390
Suppose -u = 5*x - 5, -8*x + 85 = -3*u - 3*x. Let h(y) = 6*y - 1. Let f be h(2). Find the common denominator of -13/10 and (f/22)/(u/138).
20
Suppose 303 = 5*h - 76*h + 871. Suppose -2*p + 3*g + 55 = -p, 2*p = -g + 82. What is the lowest common multiple of p and h?
344
Let d(j) = 3*j - 8. Let g be d(3). Suppose 2 = q - g. Suppose -4*m - 4 = -5*m, -q*x - 2*m + 26 = 0. Calculate the least common multiple of x and 78.
78
Let x = -138 + 239. Calculate the common denominator of x/8*(1 + 0) and (-28 - -24)*150/(-128).
16
Suppose -2*x + 5*k - 21 = 0, 3*x - 5*k + 26 = 7. Suppose -4*s + 3296 = x*n, n + 2*n + 3316 = 4*s. Let c = 4117/5 - s. Find the common denominator of 73/3 and c.
15
Suppose 3*m - 26 - 4 = 0. Calculate the least common multiple of (-9)/21 + 1294*(-5)/(-70) and m.
460
Let h = 145 - 142. Calculate the least common multiple of h and 7.
21
Let k(y) be the second derivative of y**4 - y**3/3 - 11*y**2/2 - 4*y. Let g be k(11). Let p = -4298/3 + g. Calculate the common denominator of -83/10 and p.
30
Let k = -609678/13 - -4040125/78. Let f = -4887 + k. What is the common denominator of -38 and f?
6
Suppose 5*j - 7*j + 148 = 0. Suppose -2*o = -5*w - 0*o + 62, 5*w + o - j = 0. What is the lowest common multiple of w and 7?
14
Let y = 437208777/590 + -741032. Calculate the common denominator of -81/590 and y.
590
Suppose -m + n = 2*m - 150, -2*n = 0. What is the lowest common multiple of 24 and m?
600
Find the common denominator of -10*18/225 + 444/(-495) and 32/23.
759
Let q(m) = -m - 10. Let l be q(0). Let w(y) = 15*y + 601. What is the least common multiple of (-1)/(2 + 21/l) and w(-40)?
10
Suppose -349 = -7*a + 1. Calculate the least common multiple of 90 and a.
450
Let z = -566/248468335 - 102400941833107/28359678820230. Let o = z - 2/6341. Find the common denominator of ((-60)/14)/((-132)/(-315)*-3) and o.
198
Let c(j) = -j**3 - 3*j**2 - 2*j - 7. Let x be c(-4). Let l(r) = r - 5. What is the lowest common multiple of 12 and l(x)?
12
Suppose 6 = g + x, -4*g - g + 5*x = 10. Suppose -130 = -4*h + 2*m, 126 = 4*h + 4*m - g*m. Let a = -28 + h. Calculate the smallest common multiple of 10 and a.
20
Calculate the common denominator of 889/84 - (-1 - -2) and 93/8.
24
Suppose -4*f + 23 = 2*x + 3*x, 4*x - 18 = -3*f. Suppose -u + 2 = -3, f*d + 2081 = 5*u. Let s = -14403/14 - d. Find the common denominator of -83/10 and s.
70
Let b(d) = d + 1. Suppose 5*i = 9*i - 20, 0 = -3*h + i + 22. What is the smallest common multiple of (6/h)/((-10)/(-165)) and b(2)?
33
Let b be -3*2/(-3) - -22. Let q be -1 + -2*116/(-8). Suppose 0 = b*v - q*v + 32. What is the smallest common multiple of v and 19?
152
Let u = 1019 - 935. What is the lowest common multiple of 108 and u?
756
What is the common denominator of (-1840)/60*3/(-24) and -37/25?
150
What is the smallest common multiple of 99 and (-37)/(-7) - 20/70?
495
Let b = -311/155 - -180/31. Find the common denominator of b and 31/30.
30
Calculate the common denominator of 121/18 and 22*((-3)/1 + (-5415)/(-1800)).
180
Calculate the lowest common multiple of (-52)/20 + 3 + 161/35 and 19/3 - (-4)/(-12).
30
Let h = -4 + 6. Suppose -2*u - 352 = -18*u. Calculate the smallest common multiple of h and u.
22
Let p = 13645/14 - 975. What is the common denominator of (18/2)/(2/(-9)) and p?
14
Let c(m) = -16*m + 18. Let y be c(-12). Calculate the common denominator of 1/6 - 1745/y and -15/2.
14
Let u = 512055 + -4629769/9. Let l = u - -2368. Let x = -18/329 + 28037/1316. Find the common denominator of l and x.
36
Find the common denominator of (-49)/33 - (12 + -13) and -103/18.
198
Let m = 728 - 724. Calculate the least common multiple of m and 112.
112
Let h be -1 - 24452/(-488) - 0. Let n = h + -37/61. Calculate the common denominator of 53/12 and n.
12
Find the common denominator of ((-4)/2)/((-4662)/301 - -16) and 5/3.
33
Suppose -4*k + 3*b = -305, k - 5*b = -3*k + 311. Calculate the least common multiple of 4 and k.
148
Suppose -32*g + 24 = -31*g + 3*k, 48 = 3*g - 3*k. Let p(f) = f**2 - f + 4. What is the lowest common multiple of g and p(3)?
90
Let p be -1 + (6 - (-42)/(-7)). Let m = 11 - -19. What is the common denominator of 400/m + (p - -1) and 53/7?
21
Let j(i) = -i**3 - 4*i**2 + 2*i + 12. Suppose 4*v - 3*z = v - 21, 2*z = -v + 2. Calculate the least common multiple of 3 and j(v).
12
Suppose -3*d + 4 - 7 = 0. Calculate the least commo