ommon denominator of (3/120)/((-63)/(-476)) and 121/80.
720
Let r = 755/2 - 6863/18. Let k be (-2)/(-6)*235131/65. Let d = 1212 - k. What is the common denominator of d and r?
45
Let q = -3819357779/345 + 11070592. Let y = 4/69 + q. What is the common denominator of y and 16/3?
15
Let x(z) = z**2 + 20*z - 12. Let g = 1 - 0. Suppose 2*q = q + g. What is the least common multiple of q and x(-21)?
9
Suppose 12 = 3*k - 24. Suppose -2*q - n = -4*q + 51, -q + 3*n = -23. What is the least common multiple of q and k?
156
Suppose 0 = -4*f - 20, 7*f - 211195 = 4*o + 2*f. Let x = o - -4435769/84. Calculate the common denominator of x and 133/18.
252
Let b = -1023 + 1038. What is the smallest common multiple of b and 159?
795
Let q(s) = 0*s**2 + 2*s**2 + 3*s**2 + 51*s - 4 - 53*s. Suppose 0*z - 80 = -5*z. Calculate the lowest common multiple of q(-2) and z.
80
Let v = -42815 - -5694369/133. Find the common denominator of 35/11 and v.
1463
Let k(c) = 80*c - 5. Let n be k(8). Suppose 2*q - 4317 = -w, -w - 3*q = -n - 3687. Let f = w - 17133/4. Find the common denominator of 71/30 and f.
60
Suppose 2*r = -f - 484, -476 = 2*f - f - 2*r. Find the common denominator of 41/3 and (-8)/(-10) - 3256/f.
12
Let z be ((-9)/6*(-6)/3)/1. Suppose -z*d + 3 + 3 = 0. What is the least common multiple of 7 and d?
14
Let l be 12/42 + 12/7. Let p be (l - -2) + -5 + 8. What is the common denominator of 47/2 and (106/p)/((-8)/2)?
14
Suppose 0 = -5*j - 4*n + 220, 2*n - 170 = 2*j - 6*j. Suppose 5*i - 2*q = 124, -4*i = -2*i + 4*q - j. Calculate the least common multiple of 8 and i.
24
Let i = -335267/57064 + 2/7133. Let g be 2/60*(-5 - (89 - -4)). Let m = -67/60 - g. What is the common denominator of m and i?
40
What is the common denominator of 41/8 and (-1 - 1/40) + (-14)/42?
120
Let w = -2798 - -8323/3. What is the common denominator of 15/19 and w?
57
Let f be 24666/15*(-65)/16. Suppose -2*v + 10 = 0, y = -4*v - 2700 - 3949. Let c = y - f. What is the common denominator of c and -89/20?
40
Let j = -82357 - -20259677/246. Find the common denominator of 56/451 and j.
2706
Calculate the common denominator of ((-5)/20)/(13/(3068/440)) and -109/220.
440
Calculate the common denominator of 56/140*10/16*47 and -27/194.
388
Let v = 21 - 25. What is the smallest common multiple of 8 and 0 + (-22)/4*v?
88
Suppose -10*j + 77 = j. Let u(i) = 2*i**2 - 10*i - 20. Let x(h) = 3*h + 1. What is the lowest common multiple of u(j) and x(3)?
40
Suppose 3*a - 5632 - 27599 = 0. Let g = a - 177329/16. Calculate the common denominator of g and 11/12.
48
Let w = 4/1953 - -4409/72261. Let s = w + 3343/1554. Find the common denominator of 89/12 and s.
84
Let m = -78165969/16 + 4901640. Let b = 16273 - m. Let k = 1163/122 - 2/61. Find the common denominator of b and k.
16
Let b = 2197 + -8853/4. Let l = -28/103 - -10009/824. What is the common denominator of b and l?
8
Calculate the common denominator of (-1080)/160*(-12)/(-105) and -66/65.
455
Let w(m) = -m**3 + 631. Let t be w(0). Let b = 279 - t. What is the common denominator of -53/10 and (-40)/b*(-4)/(-1)?
110
Find the common denominator of 166/48*(1 - 7/(-14)) and 2/(-3)*(-1284)/(-112).
112
Let p = 2472089/4088 - 942/511. Let l = -72181/120 + p. Calculate the common denominator of l and 76/21.
210
Let a = 472 - 18407/39. What is the common denominator of a and 7/72?
936
Let a = 10328 - 165147/16. Find the common denominator of -14*1653/988 + 22 and a.
208
Let r = -111/2 - -40. Suppose 0*w - 4*w + 1014 = -g, 3*w = -3. Let z = g + 6181/6. What is the common denominator of z and r?
6
Suppose 2*y = 3*d + 4*y - 25, -4*d = -4*y. Let r be (-8079)/13515 + 3/d. Let n = r - -22477/21624. What is the common denominator of n and 25/6?
24
Let z(v) = 3*v**3 - 5*v**2 + 8. Calculate the lowest common multiple of 12 and z(3).
132
Let a = 971 + -961. Calculate the least common multiple of a and 25.
50
Let y be 30/20 + (-15)/(-2). Suppose -24 - y = -c. Calculate the least common multiple of c and 6.
66
Let n = 2 + -4. Calculate the common denominator of 1 - (3 - 5/((-135)/(-276))) and (-964)/48 - n/8.
18
Let l(u) = -u**3 + 15*u**2 - 9*u - 50. Calculate the lowest common multiple of l(14) and 256.
1280
Let r = -1864 - -2047. Calculate the lowest common multiple of r and 15.
915
Let n = 104/61 - 8391/1952. Let v = 94861/20 + -4741. Calculate the common denominator of n and v.
160
Let w = -1981/40 + 297/8. Let o(r) = -r + 3. Let l be o(-3). Calculate the common denominator of w and l/10 + 2985/150.
10
Let m = -612891/24556 - 130/877. Let i = -293/7 - m. Calculate the common denominator of i and 42/8*((-504)/(-27))/(-4).
4
Let t(j) = -j**3 - 14*j**2 - 7*j + 12. Let q be t(-13). Let w = q + 16. Find the common denominator of ((-38)/12)/(w/(-15)) and 131/6.
60
Calculate the lowest common multiple of 66/3 - (2 + -3)*-2 and 12.
60
Let v(r) = 3*r + 36. Let j be v(-7). Suppose 8*q - 9*q + j = 0. What is the lowest common multiple of q and 33?
165
Suppose 4*o + u + 2 = 0, 0*o + 8 = 4*o - 4*u. Suppose -5*z = 2*m - 106, o = z - 3*m - m - 30. Let v = -12 + z. What is the smallest common multiple of v and 8?
40
Suppose g = -5*w + 205 + 601, 5*g - 4145 = -2*w. Let c = -6667/8 + g. Find the common denominator of c and -47/33.
264
Suppose 0 = 5*i - 5, -14*d + 4*i + 506 = -9*d. Calculate the lowest common multiple of 119 and d.
714
Let w = -15 - -27. Suppose -4*m + 492 = -3*t - 403, 5*m = -2*t + 1090. Let q = -206 + m. What is the smallest common multiple of w and q?
84
Suppose -2*o - 10 = 0, -3*o + 1259 + 266 = 5*v. Let j(y) = 3*y**2 + 33*y - 20. What is the lowest common multiple of v and j(-12)?
1232
Let d be (-19053)/684 - (-1)/2. Let p = d + 109/4. What is the common denominator of ((-86)/(-27))/(4/(-6)) and p?
171
Let h(f) = f**3 + 9*f**2 + 12*f + 12. What is the lowest common multiple of 24 and h(-6)?
48
Suppose 4*n + 82 = -5*f - 0*n, -2*n - 62 = 4*f. Calculate the lowest common multiple of 30 and (-1 - -1) + (-6 - f).
120
Calculate the common denominator of 71/306 and 6/(-8)*(-712)/204.
306
Let b(s) = -45*s - 88. Let w be b(-12). Suppose -7 = -17*g + w. What is the lowest common multiple of g and 10?
270
Let n be -2 + (-1)/(1/(-1)). Let g = -1/66 - -116/33. Find the common denominator of ((-17)/5)/(n/(-2)) and g.
10
Let p = 4 - 5. Calculate the common denominator of p + 1/((-14)/8) and (-12)/(-2) - 410/164.
14
Let y(g) = -2*g + 14. Let k be y(7). Suppose k = -5*i + 89 + 41. Let c = -303/14 + 477/7. What is the common denominator of i and c?
2
Let a(r) = 3*r**3 - 2*r**2 - r + 2. Let f be a(1). Let g = f + 16. Calculate the lowest common multiple of g and 10.
90
Suppose -4*a - 4*k = -28, 3*a + 0*a = 2*k + 26. Suppose n - 5 = 1. Let p = n + 4. Calculate the smallest common multiple of p and a.
40
Suppose 17*f = 65 + 275. Calculate the lowest common multiple of 5 and f.
20
Let c be (2 - 4)*3/(-2). Suppose -c*t + 8 = -t. Suppose -4*d - 60 = -4*z, 2*d - t*d - 8 = 0. What is the lowest common multiple of 10 and z?
110
Suppose -17*q = -16*q + 124. Calculate the common denominator of -9/20 and (237/(-18))/(q/(-12)).
620
Find the common denominator of (-2)/(-36)*(-1030)/50 and 99/80.
720
Let d be -2 - 5/((-15)/(-9)). Let c(v) = 2 - 459*v**2 + 0 + 460*v**2 + 3*v - 1. What is the least common multiple of c(d) and 3?
33
Suppose 14*k = 10*k + 92. Find the common denominator of 11/50 and k.
50
Let k(r) be the first derivative of r**2/2 - 2*r + 1. Let b(q) = 7*q**3 - 3*q**2 + 6*q - 4. Let p be b(1). Calculate the least common multiple of 11 and k(p).
44
Let d(l) = -l**3 + l**2 - l + 4. Let m = 20 - 20. Calculate the least common multiple of d(m) and 18.
36
Let r(y) be the first derivative of 2*y**3/3 - 43*y**2/2 - 13*y + 12. Calculate the lowest common multiple of r(22) and 21.
63
Suppose 4*c + 51 = 303. What is the lowest common multiple of c and 108?
756
Suppose -9*j = -6*j - 12. Calculate the smallest common multiple of 12 and 2 - 1 - (j - 51).
48
Let c = 4344 - 1817. Let u = c + -12584/5. Find the common denominator of u and -35/4.
20
Suppose 3*w = -24 - 36. Let j = -7 + w. Let k = 38 + j. Calculate the lowest common multiple of k and 11.
11
Let d = 6758 + -27011/4. Let z = -428657/50 - -8575. Calculate the common denominator of d and z.
100
Suppose -2*d + 1132 = -d. Suppose 2*z + d = z.