Let d be u(-3). Suppose -d*q = -8*q + 18. Calculate the smallest common multiple of 18 and q.
18
Let k = -29606144665/3064 - -9662574. Let i = k + -9/383. Calculate the common denominator of ((-405)/4)/5 + 0 + -2 and i.
8
Let p be 59815/(-23160) - (-1 - -2). Let b = 1/1544 - p. Find the common denominator of 41/10 and b.
60
Let c be (1 + -3)*2/(-4). What is the least common multiple of 14 and (-11 + c)*24/(-30)?
56
Let s be (588/(-8))/((-2)/20). Let b = 4423/6 - s. Calculate the common denominator of b and -3/22.
66
Suppose 9 = 2*q + 3*t + 3, t = 5*q - 32. Calculate the smallest common multiple of 6 and q.
6
Let d = 1396 - 16865/12. What is the common denominator of d and ((-37)/22)/(-2 - -3)?
132
Suppose -4*z + 2*r - 12 = z, 0 = z + 3*r + 16. Suppose -4*t - t = 0. Let w = t - z. What is the lowest common multiple of 9 and w?
36
Suppose 24 - 39 = -5*t. Calculate the smallest common multiple of t and 7.
21
Let g = 5137 + -107759/21. Let l = g + -5/42. Find the common denominator of 47/5 and l.
10
Suppose j = 2*w + 14, 4*w + 15 = 3*j - 23. Calculate the smallest common multiple of 10 and j.
10
Let i = -1658 + 9833/6. Find the common denominator of 85/18 and i.
18
Suppose 0 = b - 12. Suppose -2*x - 4 = 2*i, 2*i = i + 3*x + 10. Calculate the least common multiple of b and -2*i + (-42)/(-3).
12
Let t = 331897/18 + -18434. Let q = -12 - -28. Calculate the common denominator of (-6)/q*(-2 - 32) and t.
36
Let l = -7 - -11. Let k = 10 + 10. Calculate the least common multiple of k and l.
20
Let n(q) = q**2 - q + 2. Calculate the lowest common multiple of n(1) and 5.
10
Let u = 63 - 51. Calculate the smallest common multiple of u and 21.
84
Suppose 30 = -7*z + 10*z. What is the least common multiple of 16 and z?
80
Let d be 74/(-5) + (-12)/(-30). Let v = 7/30 + d. Calculate the common denominator of 29/6 and v.
6
Let v(y) = y - 5. What is the lowest common multiple of (2 + 10)/((-10)/(-5)) and v(8)?
6
What is the least common multiple of ((1 + 2)*(5 + -2))/1 and 8?
72
Let y = -16763 + 268111/16. Calculate the common denominator of y and -65/2.
16
Let b = 121717 + -9615775/79. Let k = 279656588/221121 + -390390/311. Let n = b + k. Calculate the common denominator of n and 71/2.
18
Let t = 1 + -2. Let b = t - -4. Let j = b + 0. What is the smallest common multiple of 7 and j?
21
Suppose 0 = 14*v - v - 676. Calculate the least common multiple of v and 6.
156
Let x = -41/1368 + -2/171. Calculate the common denominator of 103/36 and x.
72
Let q be (4/10)/1*-25. Let z = q - -17. Calculate the least common multiple of z and 10.
70
Let b = -19439/6 + 3248. Let s = 144336 - 155882869/1080. Let h = -2227/216 + s. Calculate the common denominator of b and h.
30
Let l(p) = -5*p + 2. Calculate the lowest common multiple of l(-1) and 9.
63
Suppose 0 = -5*w + 15 - 5. Suppose -b = -5*h + 51, w*h - 5*b - 15 - 10 = 0. Calculate the smallest common multiple of 4 and h.
20
Let p(w) = 2*w**2 - w + 1. Let u be p(2). Suppose -s - u = -4*x, s - 2 = -1. Suppose 3*l - 10 = -x*l. What is the least common multiple of 3 and l?
6
Suppose j = -3*i - 18, 3*i + 3*j - 1 + 19 = 0. Let z be 0/(0 - -3) - i. Suppose f = 9 - z. What is the least common multiple of 1 and f?
3
Let y = 17 - 3. Suppose 3*s = -2*s - 25, -5*m - 20 = 4*s. Suppose 2*w + 0*w - 40 = m. What is the least common multiple of w and y?
140
Find the common denominator of -1 + ((-195)/(-54))/(-5) and ((-400)/56)/((-8)/6).
126
Suppose -4*z - 9 = 7. Let b(j) = j**2 + 5*j + 6. Calculate the least common multiple of b(z) and -2*(-8)/(-4) - -9.
10
Suppose -2*b = 4*u - 30, -u + 4*b - 28 = -5*u. Calculate the least common multiple of 10 and u.
40
Let j = -89231/14416 - -2/901. Find the common denominator of 29/22 and j.
176
Let a = -156 - -165. What is the smallest common multiple of a and 9?
9
Calculate the common denominator of (-37)/(-4) - 2/(-4) and -51/7.
28
Suppose 14 = -4*j + 2. Let p(o) = 2*o**2 + 3*o. What is the smallest common multiple of ((-18)/8)/((-3)/12) and p(j)?
9
Let k(s) = s**3 - 7*s**2 + 7*s - 4. Let c be (-24)/4*2/(-2). What is the lowest common multiple of k(c) and 4?
4
Suppose 5*t - 23 = 2, -2*t = z - 27. Let o = z + -35. Find the common denominator of (-2 - -2) + (-363)/o and -51/20.
60
Let f be (-84 - 4/2)/(-2). Suppose 4 = -2*d - 0*g + 4*g, 0 = -5*d - g - f. What is the lowest common multiple of 14 and (-1)/4 - 146/d?
126
Suppose 9*p + 24 = 11*p. Let x be ((-36)/(-14))/(6/28). What is the lowest common multiple of 12 and (8/x)/(2/p)?
12
Suppose 2*z - 6 = 0, -19 + 58 = -3*q + 2*z. Let l = 25 + q. Suppose -23 - 21 = -2*p. What is the lowest common multiple of p and l?
154
Suppose -15 = 6*v - 9*v. Calculate the least common multiple of v and 11.
55
Suppose o - 22 = 4*o - 4*d, -4*o + d - 12 = 0. Let b = -8 + 5. What is the least common multiple of (-2 + 6)*b/o and 22?
66
Let l(t) be the first derivative of -t**4/4 + 2*t**3 + 8*t + 2. Calculate the common denominator of l(7) and -32/5.
5
Suppose 4*t + 4*g = 36, -2*t + 7*g - 3*g = 0. Calculate the smallest common multiple of t and 40.
120
Suppose 3 = -3*j - 3*s + 141, 0 = 5*j - 3*s - 262. Find the common denominator of j and 115/6.
6
Let u = 10 + -7. Suppose 4*m = -2*g + 76, -2*m - 2*g = -u*m + 19. Suppose 1 + m = 5*n. Calculate the lowest common multiple of 8 and n.
8
Suppose 42*f + 54 = 51*f. What is the least common multiple of f and 16?
48
Let b = 110 - 106. What is the smallest common multiple of b and 40?
40
Let d(q) = -6*q - 40. What is the least common multiple of d(-7) and 9?
18
Let o = -18109/23706 - 63/439. What is the common denominator of -43/33 and o?
594
Let j = -5 + 14. Calculate the smallest common multiple of j and 6.
18
Suppose -k + 20 = -7. Calculate the least common multiple of 33 and k.
297
Let z = 2001/4 - 515. Let s = -2144 - -17095/8. Find the common denominator of s and z.
8
Let i be ((-2)/2)/(4/(-8)). Suppose -p = d - 10, -3*d = -i*p - 1 - 19. Suppose 2*q = d - 2. What is the smallest common multiple of q and 6?
6
Let t(l) = l**3 + 5*l**2 - 8*l - 4. Let b be (-2 - -8) + -1 + 0. What is the least common multiple of (8/(-5))/((-2)/b) and t(-6)?
8
Let y = -76/3 + 859/30. Let t(q) = -12*q + 2. Let s be t(-5). Calculate the common denominator of y and 12/5*s/(-16).
10
Let l = -2875 - -23051/8. Find the common denominator of 25/9 and l.
72
Find the common denominator of 59/18 and (-24)/(-30) - (-303)/60.
180
Suppose 0 = 4*b - 16*b + 288. What is the least common multiple of b and 20?
120
Calculate the common denominator of 14/((-3)/(9/15)) and 8/3.
15
Let t be (-91217)/63 - (-1 + 0). Let q = -1451 - t. Calculate the common denominator of 81/4 and q.
36
Let b = 25 - 9. Let a = b - 13. What is the least common multiple of a and 6?
6
Suppose 0 = 12*t - 1 - 83. What is the smallest common multiple of t and 11?
77
Suppose -4*f + 17 = -3. What is the lowest common multiple of 8 and f?
40
Suppose 0 = -j + 4*j - 294. Calculate the common denominator of (-1)/(-4) + (-2 - -11) and 62*(j/(-48) + 2).
12
Find the common denominator of 8/10 - (-1053)/90 and 127/6.
6
Let z = -1 - -8. Calculate the smallest common multiple of z and 11.
77
Let b = 8 + -4. Suppose -8 = -4*y - 5*s, y = -b*y - 5*s + 5. Calculate the least common multiple of y*1 + (10 - -5) and 4.
12
Let m(v) = 3*v - 5. What is the lowest common multiple of m(3) and 12?
12
What is the least common multiple of (-6)/27 + 128/9 and 32/6*9/4?
84
Suppose -p = -4*p + 5*a + 145, -15 = 3*a. Calculate the smallest common multiple of 40 and p.
40
Calculate the lowest common multiple of 2 and 4 + -2 - (1 + (-1 - 0)).
2
Suppose -16 = 4*b, -3*k - k = -3*b - 28. Calculate the least common multiple of k and 2/12 + 188/24.
8
What is the common denominator of 0 + 2/(-6) - 685/(-30) and -75/22?
22
Let u = -2441/860 + -108/43. Find the common denominator of u and 0 - (-2 - (-333)/30).
20
Let c = 6152 - 37055/6. Calculate the common denominator of (-8)/7*44/16 and c.
42
What is the smallest common multiple of 3 and (-5)/(-3) - 6/(-18)?
6
Let w(h) be the second derivative of h**4/6 - h**3/6 - h**2/2 + h. What is the lowest common multiple of (-29)/(-4) - 5/20 and w(2)?
35
Let d be 27 + 1 + 0 - 1. Let m be (-2)/8 + d/12. What is the common denominator of (73/(-2))/(m + -3) and -35/4?
4
Let t = 5 + -5. Suppose t 