0. What is the common denominator of j and -31/108?
108
Suppose -25 = -t - 4*t. Suppose -46*z = 76 - 444. What is the least common multiple of z and t?
40
Let w be 36/7 - 5/35. Suppose w = 2*t - 3. Calculate the lowest common multiple of t and 4.
4
Let h(b) = 3*b**3 - 14*b**2 + 9*b - 8. Let i be h(6). Suppose c - 5*c + i = -5*g, -5*c + 5*g + 235 = 0. Calculate the lowest common multiple of c and 45.
45
Let w = 110 + -62. Suppose 0 = 4*m + 2*m - w. What is the least common multiple of m and 4?
8
Let y = -180267/3962 + -2/1981. Suppose 2 = -n - 5*o - 4, 4*n - 4*o - 24 = 0. Calculate the common denominator of n + -3 - (-89)/18 and y.
18
Let m = -5491/56 + 98. Let g = -257/395 - 13179/22120. Let t = g + m. Find the common denominator of 38/3 and t.
30
Let l(a) = -3*a + 45. Let t be l(17). Calculate the lowest common multiple of 15 and (-2)/t - 119/(-21).
30
Suppose -8 = -4*n + 2*n. Calculate the common denominator of 5 + -4 - n - (-357)/48 and (-103)/(-2 + 2 - -14).
112
Let v(h) = 10*h - 1. Let q(x) = x + 18. Let l be (-10)/(-45) - (-274)/(-18). Calculate the lowest common multiple of q(l) and v(1).
9
Let q(f) = -f**2 + 15*f + 33. Calculate the lowest common multiple of q(16) and 9.
153
Suppose 4*t = 3*g + g + 4, -4*t + 2*g + 10 = 0. Calculate the common denominator of t + 7/(336/(-495)) and 127/18.
144
Let h = 5/671 + 17311/18117. Find the common denominator of h and -16/99.
297
Let s(d) = -d**2 - 5*d + 12. Calculate the lowest common multiple of s(-6) and 48.
48
Let b = -669401/917904 + 2/19123. Calculate the common denominator of b and -40/3.
48
Suppose -5*b + 3*b = s - 19, -3*b - s + 27 = 0. Let v(r) = -r**3 + 3*r**2 + 5*r + 2. Calculate the smallest common multiple of b and v(4).
24
Let d = -42/11 + -23/66. Find the common denominator of d and 55/42 + 4/(-14).
42
What is the smallest common multiple of 162 and 52/9 + (-4)/(-18) - -372?
1134
Suppose -334 = -8*j - 46. Calculate the lowest common multiple of j and 8.
72
Let u be (-4 - -4)*(-5)/(-10). Suppose 0 = -2*k + 4 - u. What is the smallest common multiple of k and 16?
16
Let s = 1125994/13 - 86510. Let d = 25787/234 - s. Calculate the common denominator of d and ((-50)/(-16))/5*-14.
36
Let r = 2/881 - 25553/1762. Let l = 122/85 - 140/17. Find the common denominator of r and l.
10
Let i = 10/863 + -30325/10356. Let c = -127759/18 - -7095. Calculate the common denominator of c and i.
36
Let t be (1 - 3)*(-3)/2. What is the common denominator of (t/8)/(18/(-84)) and ((-54)/64)/(12/(-112))?
8
Suppose 5*g - 3*j = 239, -4*g - j + 140 + 75 = 0. Let l = -52 - -74. Calculate the smallest common multiple of g and l.
572
Let k be (-1850)/4 - 1/(-2). Let o = 660 + k. Calculate the common denominator of 49/9 and o/(-45)*(-5)/4.
18
Let n = 1027/51 - 25/17. Find the common denominator of n and (-37)/6 - 3/6.
3
Let o = -4929 - -73961/15. Find the common denominator of o and 4/55.
165
Let h be 412*(10 - 0/4). Let u be h*(32/(-20) + 2). Let o = u + -11591/7. What is the common denominator of 1/7 and o?
7
Suppose 3*g = -2*o + 20, 0 = -5*o + 8 + 12. Suppose -k - 83 = -5*h, 7 + 13 = 2*h + g*k. Calculate the smallest common multiple of 2 and h.
16
Let f(r) = 1 - 4*r**2 - r**2 + 4*r**2 - 6*r. Calculate the smallest common multiple of 1 and f(-6).
1
Let u(y) = 3*y - 15. Let t(k) = -k**2 + 7*k + 6. Let l be t(7). Let f = 9 - 6. Calculate the least common multiple of u(l) and f.
3
Let s(f) be the third derivative of -f**4/24 - f**3/3 + 2*f**2. Let p = -2455 - -2462. What is the lowest common multiple of p and s(-6)?
28
Suppose m = 3*m - 14. Find the common denominator of -79/2 and ((-2)/44)/(m/581).
22
Let t(b) = b**3 + 5*b**2 - 6*b - 3. Let p = 4 + -9. Let o be t(p). Let i = o + -19. Calculate the lowest common multiple of 20 and i.
40
Suppose -4*l + 4073 = 1225. What is the lowest common multiple of 8 and l?
712
What is the smallest common multiple of (-244)/(-12) - 3*2/18 and 50?
100
Calculate the lowest common multiple of (-15087)/(-376) + 1/(-8) and 90.
360
Let h be 261/27 - 2/3. Suppose 0 = 11*v - h*v - 28. What is the least common multiple of v and 8?
56
Let r = -546 - -590. What is the lowest common multiple of 104 and r?
1144
Let p = -6242 - -187241/30. Calculate the common denominator of 17/684 and p.
3420
Suppose 2*o = 5*p - 12, 3*o - 3*p = 7*o - 28. Suppose -6*f = -124 + o. Calculate the least common multiple of f/1 + -3 + 1 and 14.
126
Let b = 35639/16008 - 12/667. Find the common denominator of 41/14 and b.
168
Let r be 4 - (28/49 + 9/21). Let k(o) = 2*o**3 - 2*o**2 - o + 7. Calculate the smallest common multiple of k(r) and 12.
120
Let i = 23 + -16. Let b = -5 + i. Suppose 9 = m + g, 5*g + b = 2*m - 2. Calculate the smallest common multiple of 8 and m.
56
Let w = 1033/3 + -17618/51. Find the common denominator of -67/45 and w.
765
Suppose -7*b = 3*t - 3*b - 7, 3*b + 2 = 5*t. Calculate the lowest common multiple of t and 135.
135
Suppose 5*q + 608 = 2*v, 8*v - 10*v = 5*q - 628. Calculate the smallest common multiple of v and 9.
927
Let t = 2 - -7. Calculate the lowest common multiple of (-6 - -3)/((-4 - -5)*-1) and t.
9
Suppose 5*o + 0*u = -2*u + 8169, 0 = 4*o - 3*u - 6549. Let l = 16321/10 - o. Find the common denominator of l and (-5*(-1)/10)/(10/132).
10
Let a = -34239346574/264775 + 11509764/89. Let q = 34386/405025 + -54/953. Let b = q - a. Calculate the common denominator of b and 34/5.
35
Let z = 2 + -28. What is the smallest common multiple of (-12)/(-2) + 1 + 26/z and 21?
42
Let k = 1048 - 1001. What is the least common multiple of 188 and k?
188
Calculate the common denominator of -5/91 and 855/(-350) - (-40)/50.
182
Let z(i) = -i**3 - 2*i**2 - 5*i - 3. Let t be z(-3). Calculate the common denominator of (16 - -1)/(t/(-7)) and 17.
3
Let d(c) = -2*c - 13. Let u be d(-18). Suppose 1 - u = -f. What is the lowest common multiple of 42 and f?
462
What is the common denominator of 14/(-133) + (-1401)/(-855) and 119/90?
90
Let j = 19 + 26. Calculate the common denominator of (204/j)/(-4) - 11/22 and -43/8.
120
Suppose -2*b = 4 - 8. Suppose 2*f = a + 4 - 22, -b*a + 28 = -2*f. Suppose z + 5*i + 8 = 0, z + 2*i - 1 = -3. Calculate the least common multiple of z and a.
10
Suppose 4*t - 145 = p, -4*t + 0*p = p - 143. What is the common denominator of 2/(-4)*(-603)/t and -43/6?
24
Suppose -5*w - 3*z = -0*z - 15, -3*z = 15. What is the least common multiple of 66 and w?
66
Suppose -16*p - 55 = -4*z - 11*p, 0 = -2*p + 10. Calculate the least common multiple of 16 and z.
80
Find the common denominator of 29/32 and (-249)/84 - (8 - 0)/(-4).
224
Let x = 133 + -129. Let v(m) = 22*m**2. Let f be (-9)/15 - 4/10. Calculate the smallest common multiple of v(f) and x.
44
Let j = -221 - -256. Calculate the least common multiple of 15 and j.
105
Find the common denominator of -69/446 and (3/(-10)*7)/(24/110).
1784
Let t = 56 - 54. Let o(w) = -2*w + 5. Calculate the least common multiple of o(t) and 8.
8
Let s(c) = -c**3 - 9*c**2 - c - 9. Let x be s(-9). Let d(j) = j**3 + j**2 + 2*j + 6. Calculate the lowest common multiple of 20 and d(x).
60
What is the common denominator of (13 - (-3 - -18)) + (-25)/(-6) and 41/261?
522
Suppose 45*l = 41*l + 16. Calculate the lowest common multiple of l and (32/(-20))/(2/(-5)).
4
Suppose -3*c - 2*c + 26 = 2*a, 5*a + 3*c - 46 = 0. Let n be -3 + (7 - 0 - 1) - 1. Let l = n - -12. What is the lowest common multiple of a and l?
56
Let t = -1406 + 1411. Calculate the smallest common multiple of t and (-12)/(-1*(2 - 1)).
60
Suppose -240 = -q - 4*q. Let j(d) = 54*d**2 - 43*d + 3. Calculate the lowest common multiple of j(1) and q.
336
Let l(w) = w - 8. Calculate the lowest common multiple of l(17) and 9.
9
Suppose 0 = -56*y + 112 + 56. What is the smallest common multiple of y and 759?
759
Let g(t) = 2*t - 4. Let n = -3 + 5. Suppose -2*x = n*x + p - 44, -p = 4. What is the smallest common multiple of x and g(10)?
48
What is the common denominator of 74/(-84) - (39/(-6))/13 and 4/3?
21
Let n be ((-16)/(-12))/(2/3). Suppose -m + k = -n*m, 2*m = -4*k - 8. Calculate the lowest common multiple of m and 2.
4
Suppose 5*g + 25 = u, -15 = u + 3*g - 48. Suppose 0 = -4*o - 2*y + 58, 4 = 7*y - 11*y. What is the smallest common multiple of o and u?
30
Calculate the common denominator of (17/((-1768