12 - (-14)/21 and 6/(-18)*(-426)/28.
14
Let a be (-6)/27 + 22/18. Calculate the common denominator of (-505)/(-2)*3/(-15) and a*(42/20 + -2).
10
Let f = 10711/8 + -1334. What is the common denominator of -125/618 and f?
2472
Let v = 4/95 - -22/19. Calculate the common denominator of (1 + 145)/(2 + 10) and v.
30
Calculate the common denominator of -81/16 and (4 - (-1005)/(-6))/66.
176
Suppose 4*q = 5*k - 2862, -3*q + 2*q - 2853 = -5*k. What is the lowest common multiple of 8 and k?
2280
Suppose -70*n = -65*n - 50. What is the lowest common multiple of 12 and n?
60
Let i = -2965/18 + 165. Find the common denominator of 59/20 and i.
180
Let c = -27 + 27. Let z(a) = -a**3 - a**2 + a + 20. What is the least common multiple of 16 and z(c)?
80
Let p = 5195 + -103819/20. Let d be 1/5 - 776/4730. Let i = d - -1557/946. Calculate the common denominator of p and i.
220
Suppose 1617 = -11*c + 4*c. Calculate the common denominator of (c/(-24) - 4) + 4 and 7/8.
8
Let n(r) = -r**3 - 5*r**2 + 4*r - 5. Suppose 0 = -14*l + 10*l - 24. Calculate the least common multiple of n(l) and 14.
14
Let n be (-249)/(-2)*96/(-9). What is the common denominator of -15/2 and 6/10 - n/(-320)?
20
Suppose 0 = -2*u + 2*w + 32, -4*w + 20 = 5*u - 24. Calculate the lowest common multiple of (-9 - 15)*(-3)/3 and u.
24
Let v = -8 + 4. What is the common denominator of 45/16 and (-101)/(-14) + -3 + v?
112
Let j(n) = n - 2. Let k = -24 + 28. Calculate the smallest common multiple of 2 and j(k).
2
Let k = 19 - 10. Suppose k = 5*g - 2*g. Calculate the least common multiple of (-2 - 0)/((-2)/g) and 4.
12
Suppose -6580 = 4*x - 4*l, 4*l - 5*l = 2*x + 3281. Let y = x - -22971/14. Let r = 110979/14 + -7928. Calculate the common denominator of y and r.
14
Let y = 1/32 + -25/32. Calculate the common denominator of y and (3 - 13)/(5/((-175)/(-80))).
8
Suppose -3*o - 855 = 4*f, f - 3*o - 645 = 4*f. Let a be (-1)/(-1) + 23808/f. Let v = 554/5 + a. What is the common denominator of 89/2 and v?
14
Suppose 24*z - 28*z = -2560. Calculate the least common multiple of z and 6.
1920
What is the common denominator of 11/((-2244)/120) + (-1)/(-10) and -89/238?
1190
Suppose 4*a + 5*u = -71, -8*a - u = -3*a + 73. Let y = 9/7 - 113/14. Find the common denominator of y and 98/12 - a/21.
42
Let i be ((-44026)/33)/((-4)/(-54)). Let q = 17992 + i. Let t = -1827/88 - q. Find the common denominator of t and -73/9.
72
Suppose 6*i - 2*i = -a + 9, -2*i - 2*a = 0. Find the common denominator of 25/(-6) + (-2)/8 and -2 + (i - (-36)/(-40)).
60
Let z(j) = -4*j + 34. Let n be z(18). Let d = n + 42. Suppose -s = -4*s + 12. What is the lowest common multiple of s and d?
4
Suppose 25*v + 80 = 33*v. Calculate the smallest common multiple of 218 and v.
1090
Let o = -2/91 + 6841/728. Calculate the common denominator of -107/120 and o.
120
Suppose -4*d + s + 39 = 0, 0 = -2*d - 159*s + 163*s + 16. Calculate the least common multiple of d and 80.
80
Let l be ((-32)/10)/((-2)/5). Find the common denominator of (-4)/(-18)*(5 - 415/l) and 55/16.
48
Find the common denominator of -43/15 and (640/576)/(1/4).
45
Suppose -4*r - 3*b - 18459 = 0, 0 = 3*r - 2*b + 1330 + 12527. Let h = -3800897 + 76110307/20. Let k = r + h. What is the common denominator of k and 119/24?
120
Let v be (1145/30)/((-14)/(-4)). Let s = v + -15/14. Find the common denominator of s and -59/9.
18
What is the common denominator of 2/(6*4/(-294)) and 26/39 + (-7)/(-30)?
10
Let b be (-5)/((-15)/(-6)) - -1. Let d = 5 - b. What is the common denominator of 31/6 and 1448/264 - 4/d?
66
Let p be ((-3)/9)/((-6)/(-167 + 5)). Let j(x) = -x + 9. What is the least common multiple of j(p) and 9?
18
Let k = -83955 + 6548365/78. What is the common denominator of 43/6 and k?
78
Let t = 7 + 2. Let y(u) = u**3 + 8*u**2 - 11*u - 3. Let d be y(-9). Calculate the least common multiple of t and (6/d)/((-2)/(-30)).
18
Suppose 3*p - 5*f = 11849, 0 = p + 2*p - f - 11833. Suppose 0 = s + p + 6688. Let c = -233821/22 - s. Find the common denominator of -89/34 and c.
374
Let k = 333 - 322. What is the lowest common multiple of k and 298?
3278
Suppose -6*c + 2 = -8*c. Let x be (-2 - 580)*c/2. Let a = x - 1448/5. Calculate the common denominator of a and -63/8.
40
Find the common denominator of 1372/(-240)*(-3)/(42/4) and (-168)/(-9) + 18/(-12).
30
Let i = -260039/3 - -2129023/24. Let f = -2042 + i. Let h = -29/3 - -91/6. Find the common denominator of f and h.
8
Let w = -185 - -663. What is the smallest common multiple of 4 and w?
956
Let j be 4/(-14) + 92/28. Suppose -5*x - 7 = -2*u, -j*u + 2*x + 22 = u. Find the common denominator of 143/18 and 1/9 - u/4.
18
Let c(t) = -t**3 + 2*t**2 + 17*t - 31. Let z(v) = -2*v + 3. What is the lowest common multiple of c(4) and z(-8)?
95
Suppose -8*m - 7060 + 7500 = 0. Calculate the lowest common multiple of m and 15.
165
Let o(c) = c. Suppose -57 = 3*x - t, -5*x = -0*x - 3*t + 99. Calculate the smallest common multiple of (x/15)/((-1)/5) and o(7).
42
Let n = 32 + -47. What is the common denominator of -25/14 and ((-1)/2)/((-20)/n)?
56
Let g be (-6)/4 + 735/30. Let t = 12/49 + 2329/294. Find the common denominator of -22 + g + 50/(-16) and t.
24
Let v = 33 + 3. Let l be (-4 - v)/5 + 3. What is the least common multiple of l - (-1 - 2) - -4 and 18?
18
Let z be (3/(1 + -7))/((-5)/310). Suppose 0 = -2*y + 2, z = 4*v - 5*y. Calculate the least common multiple of v and 24.
72
Let c = 338019 + -2043799/6. Let x = c - -2607. Find the common denominator of x and 7/27.
54
Let z(g) = -g**2 + 23*g + 15. What is the smallest common multiple of 45 and z(20)?
225
Calculate the common denominator of -55/8 and ((-105)/2800)/((-3)/22).
40
Find the common denominator of 75/16 and (-15)/((-11655)/(-1694)) - -2.
1776
Let l = 8 + -6. Suppose 3*q = -j + 28, 3*j - 3*q - 55 = 5. Suppose 2*d - 2*k - 18 = -0*k, -2*d + 3*k = -j. What is the smallest common multiple of d and l?
10
Suppose -13 = 7*f + 22. Calculate the common denominator of 73/4 and f/10 + (-291)/42.
28
Let t be 5/25 - 30/25. Let q(m) = m**3 + 11*m**2 - m - 10. What is the lowest common multiple of q(-11) and 2*t*(-21 + 19)?
4
Let m = 21 + -14. Let b be m/28 - (-7)/4. Suppose 3*d + 40 = 4*a - d, 0 = b*a + d - 23. What is the least common multiple of a and 4?
44
Let m(l) be the first derivative of 2*l**3 + 1/2*l**2 - 1/4*l**4 - 3 + 2*l. Calculate the lowest common multiple of m(6) and 2.
8
Let x = 581/930 - -4/465. What is the common denominator of x and -71/54?
270
Let i(w) = 5*w**2 - 8*w - 16. Calculate the smallest common multiple of i(5) and 8.
552
Let y = 31 + -28. Find the common denominator of (-621)/(-30)*1/y and ((-2)/3)/((-112)/300).
70
Let y = 458 + -461. Calculate the common denominator of 34/13 and y.
13
Let l = 328447 - 185244025/564. Calculate the common denominator of -77/12 and l.
564
Let n = -180 - -233. Calculate the smallest common multiple of n and 7.
371
Suppose -7*u + 5*u + 402 = 0. Suppose -u = -5*a - 3*h + 4*h, 0 = -h + 4. Find the common denominator of a and (109/(-25))/(2/5).
10
Let m be (772/(-1098))/(16/(-84)). Let p = m + -3/122. What is the common denominator of -151/30 and p?
30
Let x = 39965 + -2238259/56. Let l = -33/7 + x. Find the common denominator of ((-7)/6)/((-1)/(-9)) and l.
8
What is the common denominator of (-61)/(-10)*(-10)/8 and -33/1631?
13048
Suppose -s = -3*i - 8, -4*i - 7 = -2*s - i. Calculate the common denominator of (-16)/8 - (s - 142/20) and 21/46.
230
Suppose -g + 4 = 0, 2*w - 4*g = w - 2. Let l = w + -9. Calculate the least common multiple of 6 and l.
30
Let j be 2/6 - (-34)/(-3). Let w be 1/(-2 - 23/j). Suppose 3*c + 11 = 2*d, 0*d + 4*d + 5*c - w = 0. Calculate the smallest common multiple of d and 6.
12
Let f(a) = -a**3 + 4*a + 6. Let j(v) = -3*v**2 - 2*v + 2. Let k be j(-2). Let y be f(k). Calculate the common denominator of -3/7 and -4 - (1 - y/21).
7
Suppose 0*t + 3*a - 3 = -t, t - 4*a - 10 = 0. Find the common denominator of ((-9)/t)/((-18)/(-122)) and -1/10.
30
Find the common denominator of 170/12750*(-1)/(4/54) and -41/130.
650
Let p = -310/193 + 216333/133363. Let a = 13525/24876 - p. What is the common denominator of -37/44 and a?
396
Suppose -j = -0*j - 5. Suppose -5*o + 9 + 27 = -y, 4 = 3*o - j*y. Calculate the least common multiple of 16 and o.
16
