Let q = -7 - a. What is the smallest common multiple of 20 and q?
180
Suppose -7*d = -2*d - 40. Calculate the smallest common multiple of d and 4.
8
Suppose 78 = -u + 4*u. What is the smallest common multiple of (-39)/u + (-30)/(-4) and 5?
30
Calculate the common denominator of 2 + (-1 - 285/(-54)) and (-6)/(-9) - 301/60.
180
Let v be 4 + -3 - 4/(-2). Suppose v*k - k = 20. Suppose 2*p - 58 = -3*j, 0 = 4*j - 2*j - 5*p - 45. What is the smallest common multiple of j and k?
20
Suppose -3*t = 2*t - 25. Suppose -2*v - t*a = v - 21, -13 = -5*v - a. Suppose -w = -3 - 9. What is the lowest common multiple of w and v?
12
Let n = 1490 - 16436/11. Find the common denominator of n and 7/4.
44
Suppose 4*f - 7*z - 33 = -2*z, f + 8 = -2*z. Let y(w) = w**3 - w**2 - 3. Let x be y(0). What is the smallest common multiple of f and (-22)/(x/3*1)?
22
Suppose 1074 = 3*d - 6*d. Let p = d + 2522/7. Calculate the common denominator of p and -24/5.
35
Let h be (156/(-9) + -2)*21. Let w = h - 340. Find the common denominator of w/36 + 4/18 and 13/3.
6
Let y = 4 - 4. Let c be (-1)/2*2 + 5. Suppose 0*t + 4 = c*q - 2*t, 4*q - 3*t = y. Calculate the least common multiple of q and 2.
6
Suppose -5*v = 0, -f - 2*v + 2 = -0*v. Calculate the smallest common multiple of 4 and f.
4
Suppose 0 = 2*v + 2*l - 12, 5*l - 25 = -5*v + l. Let r = v - 61. What is the common denominator of (r/14)/((-48)/63) and 119/6?
24
Let t = 1823/14 - 259/2. What is the common denominator of 41/6 and t?
42
Suppose 5*m = 13*m - 88. Let i = 6 - 3. Let u = 6 + i. What is the lowest common multiple of m and u?
99
Suppose -l = 4*x + 1, -5*l + 36 = -l - 4*x. Let b = 3 + l. Suppose c = 2*c + v - 9, 2*c + 3*v = 16. What is the least common multiple of b and c?
110
Let a(k) = -k**2 - 8*k + 13. Calculate the lowest common multiple of 14 and a(-9).
28
Let q = 101559/8728 + -12/1091. Find the common denominator of q and 18.
8
Let c = 16939/66 + -778/3. Let r = 426 + -813/2. Find the common denominator of r and c.
22
Suppose 2*r - 180 = -5*y - 3*r, 0 = -2*y - 4*r + 62. Suppose -y = -4*x - 13. Suppose 5 + 19 = 3*i. What is the least common multiple of i and x?
56
Let l = 24 - 4. Let d(w) = 2*w + 8. Calculate the lowest common multiple of d(7) and l.
220
What is the common denominator of ((-10)/(-1))/((-108)/(-15)) and 69/4?
36
Suppose -5*l - 39 = -4*x, -3*l + 0*l - 9 = 0. Calculate the smallest common multiple of 39/(-15) + 3 + 26/10 and 14/6 - 2/x.
6
Suppose 3*n - 13 - 68 = 0. Suppose 43 = 5*y - n. Suppose -5*a + 38 = -32. What is the smallest common multiple of a and y?
14
Suppose -13 = -8*w + 75. What is the smallest common multiple of w and 2?
22
Calculate the common denominator of -59/14 and (1 + 0)*370/220.
154
Suppose -4 + 14 = 2*n. Suppose n = -4*h + 17. Calculate the smallest common multiple of h and 2.
6
Let i = -7551 - -3180. Let z = i - -35053/8. Find the common denominator of 191/24 + (-5)/15 and z.
8
Let n be 495/(-10) + 2/4. Let f = 16/123 - -6113/1230. What is the common denominator of n/18 - (-2 + 0) and f?
90
Suppose 0 = 5*o - 3*o. Suppose 6*z + 2*x = z + 59, -2*z - x + 24 = o. Suppose 0 = 2*k + 3*k - 5. What is the lowest common multiple of z and k?
11
Let y = -30 - -38. Let b(n) = 10*n**2 + n - 1. Suppose -4*p + 2 = -2, 5 = g + 4*p. What is the smallest common multiple of b(g) and y?
40
Suppose 3*y + 3 = -9. Let q be (-1)/y - 8596/(-16). Let c = -497 + q. Find the common denominator of c and -37/10.
10
Let s = -32 - 8. Let v = 23 + s. Find the common denominator of -10/7 and v.
7
Suppose s + 2 = -0*s. Let n be 4*3/6 + 1. Calculate the lowest common multiple of 11 and 2 + -3 - (s - n).
44
What is the common denominator of 19/7 and ((-85)/(-5))/(6/(-4))?
21
Suppose 5*x - 9*x = -12. Calculate the smallest common multiple of 5 and x.
15
Let k(y) = y**2 - 5*y + 6. Suppose -2*g - 4 = 7*w - 2*w, 2 = -w - g. Let h(n) = -n**2 - n + 6. What is the lowest common multiple of h(w) and k(6)?
12
Let r = 38 + -60. Let j = -15 - r. Suppose 3*d - 40 = -2*d. Calculate the smallest common multiple of d and j.
56
Suppose 0*y + y = -2*k + 92, -40 = -k + y. Suppose -4*x + k = -f, -2*x + 4 = -5*f - 0*f. What is the common denominator of x and -91/8?
8
Find the common denominator of (-4)/5 - (-403)/(-715) and 19/13.
143
Find the common denominator of ((-260)/(-56) + -4)/(-1) and -99/8.
56
Suppose -7 = -4*x - 23. Calculate the common denominator of 49/10 and (-243)/(-24) + (-1)/x.
40
Let w = -91 - -109. What is the lowest common multiple of w and 9?
18
Let s be 2/(-4)*(-14)/320414. Let r = s + -1138351157/14578837. Let v = 1120/13 + r. Calculate the common denominator of -65/6 and v.
42
Let h = 22/7 + 272/105. Find the common denominator of -16/9 and h.
45
Let l = 16 - -10. Let c = l + -6. Calculate the least common multiple of 10 and c.
20
Let w = -11 - 327. Let x = -2797/8 - w. Calculate the common denominator of x and 13/10.
40
Let w(h) = 8*h - 4. Let t be w(7). Suppose 5*f - 14 - 11 = 0. Calculate the smallest common multiple of t/5 - 2/f and 22.
110
What is the common denominator of -15/8 and (-2)/(-8) + 861/(-180)?
120
Let i(j) = -j - 2*j + 6*j - 10. Let t be i(8). Find the common denominator of (t/(-5))/(10 + -2) and 97/8.
40
Let z = -15532/9 + 1721. What is the common denominator of 41/12 and z?
36
Suppose -18 = w + 3*a, 5*a + 3 = -5*w - 127. Let p = 186 + w. Suppose -3*c = -3*r + p, -3*c + r = -0*r + 146. Calculate the common denominator of -6/11 and c.
11
What is the least common multiple of 2 and (-2)/(0 - 4/22)?
22
Let u = 581 - 305. What is the common denominator of 3 + u/32 - 3 and -64/3?
24
Let m(u) be the first derivative of 7*u**3/3 + u + 9. Calculate the lowest common multiple of m(1) and (-1 - 0) + 2/1.
8
Let b(d) = -2*d. Let t = 1 - -3. Suppose -u - 5*i = -4, t*u + 2*i = 3*i - 26. What is the least common multiple of b(u) and 20?
60
What is the common denominator of (4/9)/2 + 92/(-198) and 31/3?
33
Suppose 0 = -3*s + 3 + 3. Calculate the common denominator of s/4 + (-141)/(-48) and 97/2.
16
Suppose 2*n + 0*n = p + 3, 3*n = -p - 3. What is the least common multiple of 1/2 - p/2 and 4?
4
Suppose m + m = b + 3, -3*b + 23 = 2*m. What is the lowest common multiple of 4 and b?
20
Let h(z) = z + 8. Let v be h(-5). What is the least common multiple of (7 - v) + 2/(-2) and 9?
9
Let p = 103332783888962027/130092 - 794305444535. Let u = -2/10841 + p. Find the common denominator of -1/14 and u.
84
Suppose 0 = -0*t - 4*t + 8. Let y = t - -16. Calculate the lowest common multiple of 22 and y.
198
Let a(f) = f. Let o(x) = 1 - 10*x - 3*x + x**3 + 4*x - 8*x**2. What is the lowest common multiple of o(9) and a(3)?
3
Let g = -62515/9 + 6939. Calculate the common denominator of (-14)/3*(-3)/(-11) and g.
99
Let a = -222 + 853/4. Find the common denominator of -3/20 and a.
20
Suppose 2*u - 4*j = 6*u - 17684, -17684 = -4*u - 2*j. Let x = -97217/22 + u. Calculate the common denominator of x and -59/22.
22
Let r be (6/4)/(5/(-75)). Let k = 101/4 + r. What is the common denominator of k and 27/5?
20
Let d = 112 - 100. Calculate the lowest common multiple of 24 and d.
24
Suppose -5*z = 4*s - 3, -2*z = s - 0*s - 3. Suppose -3*h + z*j = -15, -5*j + 13 = 3. Calculate the smallest common multiple of h and -1 + 2 - -1 - 0.
14
Suppose 9*q = 4*q - 20. Let x(b) = -b + 2. What is the smallest common multiple of 6 and x(q)?
6
Let o = -59089399/1311 - -45072. Let f = 38935/7866 + o. What is the common denominator of f and -29/18?
18
Suppose c + 1 + 1 = 0. Calculate the common denominator of (-6)/c + 616/(-63) and 13/4.
36
Suppose -2*k = 4*b - 132, 2*k - 76 = -b + 41. Calculate the common denominator of (-10)/35 - (-142)/k and 103/10.
20
Suppose -u + 0 = -1. Let v(h) be the first derivative of h**4/4 + 8*h**3/3 - h**2/2 - h + 1. Calculate the lowest common multiple of v(-8) and u.
7
Suppose -2*t = -t + 2*i - 16, -3*i - 53 = -4*t. Calculate the lowest common multiple of 6 and t.
42
Suppose -2*p - 3*g + 101 = 3*p, 5*p - 122 = 4*g. Let t(i) = -2*i - 2. Calculate the lowest common multiple of p and t(-3).
44
Let g = 24 + -17. Suppose 6*d = g*d - 14. What is the smallest common multiple of d and 16?
112
Find the common denominator of 29 and (50/(-30))/((-1)/6).
1
Let t = 3701 - 18444/5. Find the common denominator of t and -109/18.
90
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