03. Let g be 2/8 + (-1146)/(-56). Let w = g - d. What is the common denominator of 33/4 and w?
12
Suppose 318 = 3*w - 156. Find the common denominator of -2 - w/(-12)*1 and (-148)/54*(-3)/2.
18
Let z = 1 + 1. What is the common denominator of (2 - (-21)/(-22))/(-1) and ((-15)/55)/(z/(-9))?
22
Calculate the common denominator of -53/3 and 0 + (2/(-20))/((-33)/1837).
30
Let d = 87183/14770 - 4/1477. Calculate the common denominator of 270/(-28)*(5 + 21/(-5)) and d.
70
Let b(m) = -m + 21. Suppose 44 + 0 = 3*s - 4*o, 25 = -5*o. What is the smallest common multiple of s and b(11)?
40
Let a = 289 + -185. Suppose a = 2*c - 0*c. Let x = -32 + c. Calculate the lowest common multiple of x and 2.
20
Let q = 2/461 - -2273/7376. Let k = -95/176 + q. Calculate the common denominator of k and 83/20.
220
Find the common denominator of 16/(-104) - (-1327)/260 and -101/20.
20
Suppose 5*y + 9 = 44. What is the smallest common multiple of y and 10?
70
Suppose 0 = -5*k - 77 + 28157. Let f = k - 89809/16. Calculate the common denominator of f and -1/18.
144
Let a = 43 + -68. What is the common denominator of ((-174)/10)/(110/a) and -61/18?
198
Suppose -45 = 4*m - 9*m. Calculate the least common multiple of m and 3.
9
Let k = -3/244 - -9055/2196. What is the common denominator of -58/117 and k?
117
Let i(a) = -4*a - 5. Calculate the least common multiple of 8 and i(-4).
88
Let s(j) = -j**2 - 8*j - 1. Let y be s(-6). Suppose -4*i + 5 + y = 0. Let h = 4 - -18. What is the least common multiple of h and i?
44
Let j be (4/(-5))/(26168/(-80)). Let u = -10621218441743069/65420 + 162354302080. Let g = u - j. Calculate the common denominator of 61/4 and g.
20
Let x(g) = g**2 + g - 5. What is the least common multiple of x(-3) and 14?
14
Find the common denominator of ((-3)/30)/(11/(-1342)) and 77/4.
20
Let d = -30/37 + 467/74. Suppose 0 = -4*s - 7*t + 2*t + 184, 2*t = 0. Let k = d - s. Calculate the common denominator of -37/11 and k.
22
Let h be (230/48)/(1/3). Let j = -961/88 + h. Calculate the common denominator of -43/8 and j.
88
Find the common denominator of 1*(-15)/16 + -2 and (-486)/(-40) + 6/(-15).
16
Let r = -517/3 - -169. Find the common denominator of 47/3 and r.
3
Let q = 52 - 30. Let t(y) = 3*y + 12. Let w(s) = -s - 3. Let r(n) = -4*t(n) - 15*w(n). What is the smallest common multiple of q and r(7)?
198
Let l = 56 + -40. Let w(d) = d**3 - 5*d**2 + 3*d + 1. Calculate the least common multiple of w(5) and l.
16
Suppose 17*k - 5 = 12*k. Find the common denominator of (-795)/120 - (k + 0) and 1/9.
72
Let l be 2/3*(-9)/(-3). Suppose -13 = -l*z - 3*x, 4*z = 2*x + 6 + 28. Calculate the least common multiple of z and 3*(0 - (-2 + -4)).
72
Calculate the common denominator of -93/22 and ((-210)/64)/5 + -2.
352
Suppose c - 11 = 5*t - 0, -4*t + 44 = 4*c. Let n = 51 - 31. Suppose 0 = -5*h - n + 75. What is the smallest common multiple of h and c?
11
Let l = 641 - 5077/8. Let m = -221/392 + -3/49. What is the common denominator of l and m?
8
Suppose -3*f + 0*f = -105. Suppose f = 4*c + q, -2*q + 25 = 2*c - 3*q. Let w(t) = t**3 - 4*t**2 + 6*t + 1. Calculate the least common multiple of c and w(3).
10
Let p(c) = -4*c**2 - 7. Let s(j) = -j**2 - 1. Let f = -12 + 7. Let l(q) = f*s(q) + p(q). What is the least common multiple of 10 and l(-4)?
70
Let x be (-4)/(-2) - 0/5. Suppose -x*q - 12 = -5*q. What is the least common multiple of q and 8?
8
Let h(k) = -k**3 - k**2 - k - 12. Let x be h(0). Calculate the smallest common multiple of (-112)/(-18) - x/(-54) and 20.
60
Let w = 3/1355 + 112399/29810. What is the common denominator of w and 3/20?
220
Suppose -2*a - x + 2*x - 2 = 0, 0 = -3*a - 4*x - 3. Suppose -3*g = -7*g + 12. Calculate the lowest common multiple of 6 and a/(-3) + 59/g.
60
Suppose -16 = -2*r - 2*r. Let w be 45/6*r/3. Calculate the common denominator of 101/8 and w/(-35) - (-1074)/(-308).
88
Let q be 3/(-1 - (-9105)/24). Let h = -116179/18162 + q. What is the common denominator of h and 15/8?
72
Suppose p - 3*p = 2. Let k(v) = -2*v**3 + v**2 - 1. Calculate the lowest common multiple of -3*((-16)/6 - 0) and k(p).
8
Calculate the smallest common multiple of ((-6)/4)/(2/(-8)) and 20.
60
Let k = -2311/4 - -570. Suppose 0*a + 4*a = 20. What is the common denominator of 5/4*(-1)/a and k?
4
Let g be (-9631)/(-33782) - 10/35. Let y = g - 142337/48260. Find the common denominator of 29/12 and y.
60
Let q(m) = -1. Let u(n) = 6*n. Let p(j) = q(j) - u(j). Let y be p(-1). Suppose 3*t + 11 = s, y*s + 4*t - 39 = -3. What is the lowest common multiple of 3 and s?
24
Find the common denominator of -79/8 and (-4)/26 - (-6725)/(-2340).
72
Let w(b) = -b**2 + 4*b + 6. Let f be w(5). Suppose t = f + 8. Calculate the least common multiple of 6/(-2)*5/(-3) and t.
45
Let z be 53/83 + (-1)/2. Let n = -3488/913 + z. Find the common denominator of n and 10/12*153/(-12).
88
Let k = -16 + 10. Let h = -4 - k. Suppose 3*b - 5*b = -h. What is the least common multiple of b and 10?
10
Suppose 5 = -5*r + 4*q, 0 = -r - 4*q + 4 + 19. Calculate the lowest common multiple of r and 11.
33
Suppose 5*m - 72 = -22. What is the lowest common multiple of (22/6)/((1 + 0)/3) and m?
110
Suppose 8 - 53 = -5*z. Calculate the lowest common multiple of z and 1.
9
Calculate the common denominator of (-50)/18 + (-4)/24 and -47/18.
18
Let x be (-940)/(-5)*(-1)/2. Let y = -1107/38 + 23471/190. Let d = y + x. Calculate the common denominator of -17/6 and d.
30
Let u = -40 - -48. Suppose 5*t = 5*f - 50, 5*t - 4*f + 14 = -39. Let r = t + 27. Calculate the least common multiple of r and u.
56
Let q = -450369/22 - -20467. Find the common denominator of q and 20/(-44) + 2/4.
22
Let x = 1/2350 + 38187/1175. Calculate the common denominator of x and (-1)/3 - 181/(-12).
4
Calculate the common denominator of (138/(-40))/(-3) - -2 and -61/14.
140
Let m = -28807197/2 - -1008895521/70. Let n = m + -132403/10. Let l = n - -4048. Calculate the common denominator of 19/10 and l.
70
Let v = -197930504967/9976358980 - -7616598/318815. Let s = v - 3/7823. Find the common denominator of -51/20 and s.
20
Let o(z) = -2*z**3 + 1. Let t be o(1). Let s be 3 + t + 304/(-17). Let w = s + 385/51. Find the common denominator of w and 79/4.
12
Let p(l) = l**2 + 3*l + 2. Let g = -16 + 10. What is the smallest common multiple of 12 and p(g)?
60
Let d = 131089/27441 + 2/3049. What is the common denominator of d and 11/60?
180
Find the common denominator of -92/15 and (-2)/(-6) + 711/72 + -7.
120
Suppose 3*z = 159 - 51. Suppose -l + z = l. Calculate the lowest common multiple of l and 2*(1 - 2)*-2.
36
Suppose -2*h + 56 = -0*h + 5*i, -4*h = 3*i - 84. What is the smallest common multiple of 14 and h?
126
Suppose 0 = 4*l - 3*q - 12, -3*l + 0*l - 12 = 3*q. Suppose l = -2*d + 5*d - 3. Calculate the least common multiple of 5 and d.
5
Suppose -5*n - 7*t + 8*t = -225, -93 = -2*n + t. Calculate the least common multiple of n and 36.
396
Let z = 624 + -404. Calculate the common denominator of 69/4 and (-2)/11 + (-2545)/z.
4
Let x = 234/25 - 547/200. Calculate the common denominator of 43/50 and x.
200
Let d be 6 - (-1)/3*-3. Suppose 0 = -0*l + d*l - 30. Suppose -5*a - 3*j = -44, -3*a + 4*j = -8*a + 42. What is the least common multiple of l and a?
30
Let s = 1513 + -2967/2. Calculate the common denominator of s and 57/2.
2
Suppose 2*h + 1 = 3*h. Find the common denominator of h/(-3) - 221/30 and 2/(-12)*(-1209)/(-52).
40
Calculate the common denominator of -93/4 and (-24)/(-2)*(-49)/(-224).
8
Suppose s - 2 = -0*s. Let b(w) = 10*w - 4. Calculate the least common multiple of s and b(1).
6
Let p(t) = -t**3 - 3*t**2 - t - 4. Let f be p(-3). Let z = f + 9. What is the smallest common multiple of 22 and z?
88
Let i(f) = -3*f + 2. What is the smallest common multiple of i(-6) and 18 + -4 + -1 + (2 - 1)?
140
Let z(p) = p**2 + 6*p + 17. Calculate the smallest common multiple of z(-7) and 2.
24
Let g = 1038/13 - 5387/52. Let n = -48607/6 - -8126. Find the common denominator of n and g.
12
Let w(y) = -y + 6. Let k be w(6). Find the common denominator of 145/18 and (1 + k)*(-68)/16.
36
What is the common denominator of (9/(-36))/(2/(-39)) and -97/10?
40
Let v = -1350 - -8075/6. Find the common denominator of v and 344/(-110) + (-2)/(-5).
66
Suppose 9*y = 6*y + 3. What is t