.
20
Calculate the common denominator of 117/224 and (-2175)/(-125)*1/(-14).
1120
Let l(t) = 6*t**2 - 43*t + 17. What is the smallest common multiple of l(7) and 45?
90
Find the common denominator of 5/43 and 4805/8600 - (-1)/((-8)/3).
430
Let k = 5154/5 + -453177/440. Find the common denominator of k and 143/12.
264
Suppose 8*a = 9*a + 2*z - 270, 2*z = -5*a + 1334. What is the least common multiple of 42 and a?
798
Suppose -8*t + 36 = -12. Suppose -2*c - k = -3 - 4, 0 = -5*k - 15. Suppose -11 + 1 = -c*o. Calculate the lowest common multiple of t and o.
6
Let k(y) = 3*y - 53. Let g be k(12). Let d = 5 - -14. Let w = g + d. What is the smallest common multiple of w and 8?
8
Suppose -3*w = -8*w + 50. Suppose -2*v - h + 2*h = -11, v = -h + 4. What is the lowest common multiple of w and v?
10
Let y be 6/(((-10)/237)/(-5)). Let d = 7103/10 - y. Let u = d - -96/55. Find the common denominator of u and -23/20.
220
Let u = 22100 + -1150. Let x = 377231/18 - u. What is the common denominator of x and -1*52/8 + 2?
18
Let u be 2/7 + 104/(-49). Let c = -481/98 - u. Find the common denominator of 69/8 and c.
56
What is the common denominator of 3/(1 - 0) - 5700/(-1080) and 61/72?
72
Suppose -k + 51 + 125 = 5*g, 0 = -g + 2*k + 44. Let r = -21 - -29. Calculate the least common multiple of g and r.
72
Let z = -10 + 12. Suppose 0 = -2*s + s + 2*m + 12, z*s - 21 = 5*m. Suppose -l + 22 = l - 4*a, 3*l - s = a. What is the least common multiple of l and 9?
45
Suppose -85 = -12*l - 25. Suppose -6*i + 2*i - n + 3 = 0, 0 = l*n + 25. What is the lowest common multiple of i and 5?
10
Suppose -74 = -7*d + 4*d + 5*z, 4*z - 20 = -2*d. Calculate the common denominator of 21/13 and d.
13
Let d = 5343/8 + -666. Calculate the common denominator of d and -11/7.
56
What is the common denominator of -2 + 1 - 351/(-42) and (-54)/162 + (-442)/(-84)?
14
Suppose 7*r + 10 = 9*r. Suppose -r*f + 89 + 51 = 0. Calculate the least common multiple of 16 and f.
112
Let s = -3125587/1240 - 13716/155. Let a = -2614 - s. Find the common denominator of a and 5 + (-265)/55 + (-6332)/(-264).
24
Let v(h) = -h + 1. Let b be v(-3). Suppose -5*j = -2*j, 2*j + 36 = b*o. What is the smallest common multiple of o and 27?
27
Let p be 5/20 - 74/8. Let r = 32027/2394 + -28/171. Let b = p + r. Find the common denominator of b and -67/12.
84
Calculate the common denominator of (88/(-143))/(39/(-9)) and 44/9.
1521
Let m = 1737667/56 - 31028. What is the common denominator of 50/(-12)*9/(-120) and m?
112
Let k(p) = -10*p**2 - 512*p - 74. What is the least common multiple of 252 and k(-51)?
252
Let x = 47711 - 5009708/105. Calculate the common denominator of x and 23/203.
3045
Let i(t) = 25*t - 30. What is the lowest common multiple of 782 and i(2)?
7820
Calculate the lowest common multiple of (-2)/2*(-1 + -1) - -9 and 37.
407
Suppose -4*u + 36 = -2*u. Let m be 15/(-10)*8/(-3). Suppose 10*g - 11*g + m = 0. Calculate the least common multiple of g and u.
36
Let j = -14/509 + 38287/4072. Find the common denominator of j and 16/336 - (-160)/(-175).
120
Suppose -1 = b - 3. Suppose b*n - 3*n = 17. Calculate the common denominator of 17/10 and n/(-6)*(-2)/(-4).
60
Suppose 3*s = -0 + 6. Suppose 4*y = 4*a + 8 + 16, -y - a = -s. Suppose 2*j = -3*b + 18, 16 = 3*j + j - y*b. Calculate the smallest common multiple of 50 and j.
150
Let r = 19 - 82. Let u = -19 - r. Let y = -26 + u. Calculate the least common multiple of 10 and y.
90
Suppose -3*n + 186 = -d, -5*d = n - 3*n + 111. Calculate the lowest common multiple of n and 54.
378
Let a = -21 + 11. Let g = -12 - a. Let m = g - -5. What is the lowest common multiple of 5 and m?
15
What is the common denominator of 85/(-17) + (-1)/49*-263 and 127/6?
294
What is the least common multiple of 34 and (18/16)/3 + 48975/600?
1394
Let n be (7 - 3)*(-8946)/8. Let i be (-2)/(-4) - n/162. Let h = i - 86/3. Find the common denominator of h and -28/3.
9
Calculate the common denominator of 8 - -1 - (-27072)/(-2700) and 52/135.
675
Let c = 292849/28806 - -2/4801. Find the common denominator of 89/102 and c.
102
Suppose 1 = -4*a + 57. Let j = -1573/12 + 441/4. Find the common denominator of j and 4/a + (-716)/(-42).
6
Suppose 0 = -4*p + 3*o + 6, -2*p + 1 - 3 = o. Suppose 6*b - 10*b + 804 = p. Find the common denominator of 117/20 and (1/(-6))/(10/b).
20
What is the common denominator of 4/(72/3)*-1*23 and -121/24?
24
Let n = 294387399531/80007091472 - -312/9941239. Let v = 4/503 + n. Calculate the common denominator of v and (-2)/5 + (-2443)/(-70).
16
Let a = 13 - 6. Let b = -1 + a. Suppose j + 4 = 5*z, -3*z + 2 = -j + 6. What is the smallest common multiple of b and j?
48
Let j = 337553/88 + -3836. Calculate the common denominator of j and 15/(-600)*405/(-2).
176
Let v = 79 + -63. What is the least common multiple of v and 56?
112
Let f be ((-24)/10 - -2)*-10. Suppose 4*u = f - 0. Let k(g) = 19*g - 1. Calculate the smallest common multiple of 6 and k(u).
18
Let f = 80325 - 4498085/56. What is the common denominator of f and -93/22?
616
Let a(u) = -3*u**2 - 7*u + 2. Let x be a(-4). Find the common denominator of ((-37)/5)/(x/(-45)) and 89/10.
10
Calculate the common denominator of -9/275 and -3 + 1 - (5 - 76/(-40)).
550
Let a = 2/1361 - 35396/6805. Let n be ((-13)/84)/(1/22). Let m = n - -41/6. Calculate the common denominator of a and m.
35
Let v(m) = m + 1. Let u(c) = 3*c + 8. Let z(w) = 2*u(w) - 14*v(w). What is the smallest common multiple of z(-1) and 14?
70
Suppose -48*r + 41*r + 126 = 0. Calculate the lowest common multiple of 2696 and r.
24264
Let y = -79507/104 - -5611/13. Let v = y + 334. Let n = -106521/10 - -10662. Calculate the common denominator of n and v.
40
Suppose -788 + 191 = -3*x. Let n = x + -289. Find the common denominator of 127/12 and (556/n)/(4/(-5)).
36
Let m(n) = 4*n**2 - 2*n - 1. Suppose -4*s - 2 = -10. Let x be m(s). Suppose -2*f + f + x = 0. Calculate the least common multiple of f and 6.
66
Let s(z) = -50*z - 2. What is the least common multiple of 32 and s(-3)?
1184
Let m be 24/(-30) - (7838/(-2860) + -2). Let x = -337/110 + m. Find the common denominator of x and 55/8.
520
Let n(d) = 4*d**2 + 2*d + 1. Let r be n(2). Suppose 0*q + q - r = 0. Let j = -46 - -56. What is the smallest common multiple of q and j?
210
Let p(d) = 2*d**2 - 34*d + 109. What is the least common multiple of 1 and p(13)?
5
Let j = -4346 - -34701/8. Suppose 0 = 2*o + 16 - 0. Calculate the common denominator of ((-2)/o)/((-25)/(-10)) and j.
40
Let j = -55 + 29. Let q = j - -19. What is the common denominator of -43/4 and (-3)/6 - q/(-11)?
44
Calculate the common denominator of -41/56 and -9 - (-6)/96*166.
56
Let b = 135 + -128. What is the smallest common multiple of b and 7?
7
Suppose 4*l - 30 = -4*w + 10, l - 5 = 0. Suppose -3*r - 24 = -n, w*n - 2*r - 154 = -4*r. Let f = 1 - -15. What is the smallest common multiple of n and f?
240
Suppose 0 = -330*m + 329*m + 6. Suppose -4*c + r + 34 = 0, 0 = -5*c - 5*r + 46 + 9. Calculate the smallest common multiple of c and m.
18
What is the common denominator of 266/1729 + -463*2/104 and 3 + -1 + (-41)/5?
20
Suppose -5*q - 3*o + 97 = 0, -5*q - 12 = 5*o - 107. Let l(i) = -i**2 + 7*i - 4. Let j be l(8). Let n = q + j. Calculate the smallest common multiple of n and 8.
8
Suppose 5*y + 3*u - 20 = 0, -3*u = -6 - 9. Let h(s) = 14*s**2 + s - 1. What is the smallest common multiple of h(y) and 16?
112
Suppose -2*o = 2*m - 6, -5*m + 6 = -m + 2*o. Suppose m = i - 23 + 10. Calculate the least common multiple of 2 and i.
26
Let g be 20/(-14) + 1 + (-102)/(-42). Suppose -j = -g - 28. What is the least common multiple of j and 3?
30
Suppose 0 = 35*g + 23*g - 2552. Suppose 2*a - 2*v - 16 = 2*v, 0 = -4*a + v + 60. Calculate the least common multiple of g and a.
176
Let g = 3443/2 + -1689. Find the common denominator of g and (5/(40/(-3)))/((-6)/(-2)).
8
Suppose -2*o - 6 = -i + 13, o = -i + 7. Calculate the least common multiple of 23 and i.
253
Let d = -2/365 - 1454/1095. Let c = 100087/24 - 4166. Find the common denominator of d and c.
24
Suppose -15 = 3*y, -o + 5*y - 479 = 606. Let u = o + 2289/2. Calculate the common denominator of ((-1)/12)/((-1)/2) + -4 and u.
6
Calculate the common denominator of (-3)/(-18) + (-742)/(-21) and 17/12.
12
Suppose 0 = -o +