
84
What is the common denominator of -31/24 and -10*14/(-2800)*(-2 - 200)?
120
Let v = -10 - -16. Let a = -17 - -29. Calculate the lowest common multiple of a and v.
12
Find the common denominator of 20/9 and (-4 - -2)*(4 - (-585)/(-174)).
261
Let t be ((-5)/2 - -2) + 455/10. Let n = 50 - t. What is the smallest common multiple of n and (-2 + 1)*(-1 + -10)?
55
Calculate the common denominator of -45 and (1/1)/((-192)/(-712) - 0).
24
Calculate the common denominator of (-4 - 105/(-27))/(4/(-690)) and 32/(-36)*102/(-20).
30
Let r = 1933 + -23245/12. Calculate the common denominator of 33/4 and r.
12
What is the common denominator of 4/(-36) - (-1)/(-14) and -71/9?
126
Let a = 4879/6 + -823. Calculate the common denominator of a and 64/309.
618
Let z(u) = u**2 + 13*u - 352. Calculate the smallest common multiple of z(15) and 7.
476
Suppose -153 = 2*l - 713. Calculate the smallest common multiple of l and 58/6 + (-3)/(-9).
280
Suppose 4*n - 2*n = 8. Let y be 12/66*(-921)/n. Let m = -42 - y. Find the common denominator of m and 1/18.
198
Suppose 2*w = 4*w - 122. Let t = w - 43. Let o = 52 + -28. What is the lowest common multiple of t and o?
72
Let d be (-15)/(-3)*6/10. Suppose -d*h + 50 = 2*h. Calculate the least common multiple of h and ((-5)/((-20)/3))/((-1)/(-24)).
90
Suppose 4*b + 1719 = 4575. Calculate the smallest common multiple of b and 6.
714
Let k be (-45)/10 + 4 - 26/(-4). Let i = -10 + 24. Calculate the least common multiple of i and 27/(-6) + 3 + 33/k.
28
Let v = 148824/55 + -2706. Calculate the common denominator of v and -121/50.
550
Let u be 2/(5/((-1955)/2)). Let j = u + 2351/6. What is the common denominator of 11 - 3 - (-496)/(-88) and j?
66
Let u be (-333239)/(-2610) + (-4)/(-18). Let b(f) = 4*f**3 - 3*f**2 - 3*f - 2. Let n be b(-3). Let v = u + n. What is the common denominator of v and -34?
10
Suppose -s = 4*s - 95. Let u(f) = -f**3 + 20*f**2 - 16*f - 46. What is the lowest common multiple of 11 and u(s)?
11
Let h(x) = -x**2 - 12*x + 166. Suppose 3 = -r - 5*n, 3*r + 5*n - 3 - 38 = 0. Calculate the smallest common multiple of r and h(8).
66
Suppose -36833 = -d + 5*h, -d - 13596 = 5*h - 50399. Let r = d + -1988269/54. Calculate the common denominator of r and -41/16.
432
Let s = 2003725/36 - 55663. Find the common denominator of 31/6 and s.
36
Let g be (-3)/((-4)/24*2). Let d(i) = -i**3 + 9*i**2 + 2*i - 3. What is the lowest common multiple of 21 and d(g)?
105
Calculate the least common multiple of -6*(-21)/(-14) + 174 and 25.
825
Suppose 25 = 2*r - 3. Let p be (-151)/(-9) + r/63. Let z = p + -15. What is the least common multiple of z and 3?
6
Suppose -5*p - 19 - 71 = 0. Suppose 20*g = -320 - 660. Find the common denominator of g and p.
1
What is the common denominator of 71/18 and (17/(-6))/((-504)/96)?
126
Let q(m) = m**2 + 8*m + 1. Let y be q(-8). Let k = 5 + y. What is the least common multiple of k and 13 - (1 + 3 + 6/(-3))?
66
Suppose 0*s = -s - 5*d + 26, -4*s + 40 = 4*d. What is the smallest common multiple of s and 39?
78
Let h = 15 - 21. Let u = h - 69. Calculate the common denominator of (12/10)/((-12)/u) and 2/15.
30
Let x(q) = -2*q**2 - 46*q - 21. Calculate the smallest common multiple of 70 and x(-21).
630
Let s be 282088/40*(-5)/(-6). Let m = 5897 - s. Let a = 0 - 4. Calculate the common denominator of a and m.
6
Let k(j) = 2*j**2 + 3*j + 2. Let z be -7 - 5/(15/(-9)). Suppose 3*f = f - 5*x + 10, 4*f - 5*x - 50 = 0. What is the least common multiple of f and k(z)?
110
Let x(k) = 0*k - 1 - 6*k - k**2 + 0*k**2. Let a = 3266 - 3258. Calculate the lowest common multiple of x(-4) and a.
56
Let u(d) = -d**2 + 28*d - 90. Let o be u(11). Suppose 4*b = -2*f + 128, 0*b - f = 3*b - o. Calculate the lowest common multiple of 33 and b.
33
Let o be (11/4)/((-5)/(-20)). Suppose o*q - 16*q + 20 = 0. Suppose -q*w + 9*w = 10. Calculate the smallest common multiple of w and 16.
16
Let p = 47 - 41. Suppose p*k + 186 = 72. Calculate the common denominator of k and 1/3.
3
Suppose 11 - 3 = 4*t. Suppose -t*d + 830 = -340. Find the common denominator of 207/d - 2/10 and -93/10.
130
Suppose -2*g - 43 = 4*c + 3*g, 66 = -3*c + 3*g. What is the common denominator of 222/(-28) + 1/(-2) and (3/(-6))/((-5)/c)?
70
Suppose -4*m + 48 = -i - 102, -3*m - 2*i + 107 = 0. Let u be 75/4 - (-2)/8. Let a = m - u. Calculate the least common multiple of a and 14.
126
Let r(p) = p. Let a = -10 + 7. Let z be r(a). Calculate the lowest common multiple of 4 and (1/(-2))/(z/216).
36
Suppose -5*r = 4*u - 3018, 1709 + 693 = 4*r - 3*u. Calculate the lowest common multiple of 4 and r.
1204
What is the common denominator of -53/10 and 6/(-8)*(3 + (-284)/(-36))?
30
Let h = -279 - -315. Calculate the lowest common multiple of h and 6.
36
Calculate the lowest common multiple of 25 and -18*(-5)/(-20)*10/(-1).
225
Let v be (-9)/(-2)*-1*-4. Let b = v + -8. Let l = 11 - 6. Calculate the least common multiple of b and l.
10
Suppose 0 = 11*b - 76 - 276. Calculate the least common multiple of b and 18.
288
Find the common denominator of 3/54*(-2528)/(-160) and 49/15.
90
Suppose 2*r + 0 = 2. Let f = -39505/8206 - 3/746. What is the common denominator of -1 - ((-9)/30 + r) and f?
110
Let v be (-1)/4 - 115/20. Calculate the common denominator of (v/4)/((-1)/(-31)) and 0 + (-154)/4 + 2 - -3.
2
What is the common denominator of -103/12 and 662/(-104) + (4 - -1)?
156
Let g = -1 - -1. Suppose 2*t + 0*t - 18 = g. Let p(u) = 2*u**2 - 4*u + 4. Calculate the smallest common multiple of t and p(4).
180
Let k = -3324217596 + 5102673679928/1535. Let i = 869584141/4172130 + k. Let x = -82/151 + i. What is the common denominator of 65/18 and x?
18
Calculate the common denominator of -86/75 and (-43410)/(-1800) - 4/(-30).
300
Let n(r) = 30*r**3 - r**2 - r. Let l be n(-1). Calculate the common denominator of (23/6)/(l/12) and 41/24.
120
Let a = -2 - -4. Let s be ((-50)/(-15))/((-4)/(-6)). Suppose s*c = -a*m - 1, 0 = -m - m - 4*c + 4. Calculate the least common multiple of m and 6.
12
Let m = -15 + 13. What is the smallest common multiple of (m/(-4))/(2/8) and 14?
14
Suppose 5*j - n - 5 = -1, 3*j + 12 = -3*n. Let u(k) = -k**2 + 10. Calculate the lowest common multiple of 5 and u(j).
10
Let a(r) = r**2 + 9*r + 10. Let x be a(-8). Suppose -11 = -3*p - x. Suppose -44*q + 396 = -8*q. Calculate the least common multiple of q and p.
33
What is the common denominator of 89/12 and 111/(-9)*25/(-125)?
60
Let p = 5439 + -3545. Let q = p - 11513/6. Let b = -5114 - -81909/16. Calculate the common denominator of q and b.
48
Suppose 5*a = -10*a + 3*a. What is the common denominator of ((-21)/(-8))/(6/(-4) + a) and 69/4?
4
Suppose -5*b - 7 = -2. What is the common denominator of 137/((-8 + 2)*b) and 81/(-18)*5/10?
12
Suppose -4*d - 4 = 0, 2*k - 42 = -3*k + 2*d. Let o(q) = q**3 + 7*q**2 + 7*q + 2. Let p be o(-3). Let i = p + 2. What is the lowest common multiple of i and k?
152
Let k = 64175/11976 - 75/499. Find the common denominator of k and 49/8.
24
Let m = 1110330567/10969420 + -344/49861. Let y = -1148/11 + m. Find the common denominator of -5/6 and y.
60
Suppose 0*l + l = -32. What is the common denominator of (-22)/l*4/2 and -10?
8
Calculate the common denominator of (142/164)/((255/(-10))/17) and 89/12.
492
Let v = 21 - 19. Suppose -22 = -r - 5*m, v*r - m - 66 = -r. What is the smallest common multiple of r and 8?
88
Let q be 3 + (2 - (-15986)/(-44)). Let y = -653 - -1012. Let r = y + q. What is the common denominator of 39/4 and r?
44
Calculate the common denominator of 1/7*((-456)/60 + -2) and -113/14.
70
Suppose -3*l - 8 = 2*m - 33, -2*l - 31 = -3*m. Let s(r) = -67*r - 3. Let w be s(-2). Find the common denominator of w/(-14) + -10 + m and 13/2.
14
Suppose -11*l + 10*l + 153 = 3*h, 5*h = 5*l - 825. What is the smallest common multiple of 126 and l?
1134
Suppose 2*x - 21 = 1. What is the least common multiple of 32 and x?
352
Suppose 0 = -4*y + 5*m + 20, -4*y - 7*m + 36 = -8*m. Calculate the least common multiple of 5 and y.
10
Let f(y) = 16*y - 54. Calculate the smallest common multiple of f(4) and 74.
370
Let k(g) = -g**3 - 6*g**2 - 2*g - 7. Let j be k(-6). What is the least common multiple of (0 - (-80)/(-12))*-3 and (-1 + j/2)*24?
180
Let b be (-3)/(-12) - 358/(-328). Let c = -941/246 - b. Le