 Let a = -145/2 + p. Find the common denominator of -22/3 and a.
6
Suppose 0 = -2*n - 3*n + 30. Suppose -4*c + 104 = 4*w, c = 2*c - 4*w - 36. Calculate the least common multiple of n and c.
84
Suppose 21*d - 44 = 17*d. Calculate the smallest common multiple of d and 5.
55
Let b = 1736174807 + -291676424705/168. Let l = 49622/21 - b. Let u = l + 3256. What is the common denominator of 11/2 and u?
8
Let n = -7 - -2. Let f be 7 + 0*(-1)/3. Let o = n + f. What is the least common multiple of o and 18?
18
Suppose 10*m = 15*m - 15. Calculate the common denominator of -37/145 and m.
145
Let z be ((-5)/(-3) + -1)*6. Calculate the common denominator of 2/z - 47/(-20) and 107/10.
20
Find the common denominator of -53/17 and 15/180*63/(-6).
136
Let l = 66 - 46. What is the lowest common multiple of 6 and l?
60
Suppose v - 3*i = 30, -7 = -3*i - 19. What is the least common multiple of 33 and v?
198
Suppose -3*k + 5*k - 196 = -s, s - 2 = 0. Find the common denominator of 61/9 and k/(-3)*3/6.
18
Let w(m) be the first derivative of m**3/3 + 11*m**2/2 + 14*m + 1. What is the lowest common multiple of w(-10) and 6?
12
Let l be (4*-82)/((-2)/(-5)). Let x = -8193/10 - l. Let o = 1575 + -12685/8. What is the common denominator of o and x?
40
Suppose 2*l = -l. Let d be l*-2*3/18. What is the lowest common multiple of 14 and 33/(d - 9/(-6))?
154
Let n(t) = 2*t - 5. Let a be n(4). Suppose -j + 8*u + 38 = a*u, 3*u - 60 = -4*j. Suppose 0 = -5*l + 126 - 36. Calculate the least common multiple of j and l.
18
Let n be (6/7)/(9/42). Let j(u) = u**3 - 4*u**2 + 3*u - 4. What is the lowest common multiple of 10 and j(n)?
40
Suppose 0*x = 2*x - 6. What is the common denominator of ((-134)/(-40))/(-2 + x) and -91/12?
60
Let h = 77/2 - 37. What is the common denominator of ((-623)/(-56))/(9/4) and h?
18
Let k(b) = -b**3 + 4*b**2 + 2*b - 3. Let r be k(3). Suppose r = 3*n - 6. Let y = 19 - 13. Calculate the least common multiple of n and y.
6
Let h(u) = -2*u**3 + u**2 + u + 2. What is the smallest common multiple of 86 and h(0)?
86
Suppose 5*p = -2*c + 109, c = -2*p - 2*p + 62. Calculate the lowest common multiple of 10 and c.
210
Let m = -4513/3 - -126013/84. Let b = 33/47 + 751/470. What is the common denominator of b and m?
140
Suppose -2*g - 84 = g. Let a = -40 - g. What is the common denominator of ((-2)/a)/((-1)/(-109)) and -17/20?
60
Suppose l + 3*l = -108. Find the common denominator of 2 - (l/(-8) + 2) and -5/2.
8
Suppose -3*q + 225 = -5*m, -2*m - 5*q - 69 = -2*q. Calculate the common denominator of (26/(-3))/((-8)/m) and ((-1)/(-3))/((-40)/(-6)).
20
What is the common denominator of 6/(-4) + -2*(-28)/(-3) and (2 + 0)*71/4?
6
Let q(t) = 2*t - 14. What is the lowest common multiple of q(8) and 11?
22
Let j(o) = -o**3 - 3*o**2 - 3. Let r be 18/(-5) + 18/30. Calculate the common denominator of 674/(-198) + (-2)/(-9) and j(r).
11
Let v(w) = w - 8. Let i be v(6). Let m = 461/4 + -114. Calculate the common denominator of m and i/(((-8)/(-98))/(-1)).
4
Find the common denominator of 97/(-22) + -11 + 15 and 0 - 3/(-60)*-178.
110
Suppose -5*c - 56 - 44 = 0. Let k = -8 - c. Calculate the least common multiple of 6 and k.
12
Let q(n) = n**3 - n**2 + 5. Let m = 1 - -10. What is the lowest common multiple of m and q(0)?
55
Let f = 1 - 5. Let y be 1/4 + (-19)/f. Suppose 2*d - y*a = 3 + 16, -2*a - 6 = 0. What is the lowest common multiple of d and 18?
18
Suppose -4 = -4*b + 24. What is the lowest common multiple of 8 and b?
56
Let o = -58 - -64. Calculate the smallest common multiple of 10 and o.
30
Let o = -143/12 - -367/28. Calculate the common denominator of o and -38/3.
21
Suppose 2*h = -p + 10, -4*h + 7 = p - 9. Calculate the least common multiple of p and 1.
4
Let f = 6 + -14. Suppose 0 = 2*l - 7 + 1. Let d = l - f. What is the lowest common multiple of 5 and d?
55
Let k = -1 - -9. Find the common denominator of k/6*27/(-30) and 15/150*(-85)/(-2).
20
Let g = 6414 - 192391/30. What is the common denominator of -47/12 and g?
60
Suppose 3*t = -t + 72. Find the common denominator of 363/18 + -3 + 4 and (-5)/9*(t + -3).
6
Suppose 0 = 3*u - l - 25, 2*l + 15 = 4*u - 3*l. Let b be 3/15 + 82/(-10). What is the least common multiple of b/6*6/(-2) and u?
20
Let f = 560/9 - 4633/72. Find the common denominator of f and -55/16.
16
Let p be ((-87)/(-10))/((-12)/5235). Let s = 3783 + p. Find the common denominator of s and 13/11.
88
Suppose 25 = -5*q, 2*n - 17 = -0*q - 3*q. What is the least common multiple of n and 2?
16
Let s = 16 - 28. Calculate the common denominator of 18/22*(-74)/s and (-2)/18*(-201)/2.
66
Suppose 3*j = 5*z + 42, 40 = 4*j + 3*z + 13. What is the lowest common multiple of 4 and j?
36
Calculate the common denominator of (-4)/(-14)*20/8 and 11/3.
21
Let y(c) be the third derivative of c**5/60 - 8*c**3 - 2*c**2. What is the common denominator of y(0) and -1/11?
11
Let b = -11 + 30. Let w = b - 9. Suppose 2*l + w = 3*l. What is the lowest common multiple of l and 7?
70
Suppose f - 45 = -0*f. Find the common denominator of -32/9 and ((-3)/4)/(f/370).
18
Let q = 0 + -1. Let z be 92/12 - q/3. What is the common denominator of -15/4 and 147/z*3/18?
16
Let w = 28 - 20. What is the smallest common multiple of ((-8)/(-12))/(10/75) - 4 and w?
8
Suppose 3*d = -0 - 9. Let u be (1 + -1)*d/6. Suppose i - 3*g - g + 11 = u, 4 = -2*i + 2*g. Calculate the smallest common multiple of i and 2.
2
Suppose -3*q - 12 = 0, -q + 14 = o + q. Suppose 8*u = 7*u + o. Calculate the smallest common multiple of u and 8.
88
Let n be -2 + 2 - 5002/(-4). Let x = -20067/16 + n. Find the common denominator of 952/(-160) - 5 - -8 and x.
80
Let x(t) = t + 3. Let b be x(-4). Suppose 0 = -9*v - 5874 + 933. What is the common denominator of (b/6)/(15/v) and -23/6?
30
Suppose 5*n = 4*n - 3. What is the common denominator of 23/2 + (-2)/n and -113/10?
30
Suppose -t - 4*o + 10 = 0, 29 = -t + 4*o + 7. What is the least common multiple of 11 - (-2)/(t/3) and 18?
90
Suppose 72 - 32 = 5*v. Calculate the lowest common multiple of v and 5.
40
Suppose 1 = 4*j - t + 2, -5 = -5*j - 5*t. Suppose j = -5*p + 1 + 4. Calculate the smallest common multiple of p and 8.
8
Let r = 15104/11 + -1375. Find the common denominator of r and (10/(-6))/((-16)/(-6)).
88
Let q = 303/2 - 125. Let v = 289517/20 + -14472. Calculate the common denominator of q and v.
20
Suppose 0*a - 786 = -3*a. Let m(d) = d**2 + 9*d + 10. Let j be m(-8). Find the common denominator of 111/10 and j - (a/12 - -1).
30
Suppose 4*b - 14 = -o - 3, -b = 4*o - 14. Suppose -o*x = -6*x - 9. What is the common denominator of (3/(-16))/(x/59) and 7/4?
16
Suppose 2*t + 0*t - 12 = 0. Suppose -x = -24 + t. Suppose 12*z - 21*z + 144 = 0. What is the least common multiple of z and x?
144
Let r = -1894 + 7499/4. What is the common denominator of 39 and r?
4
What is the common denominator of (45/20)/(-9) - -10 and -5/2?
4
Let n = -901/5 - -857/5. Let a = -151/458 + 388123/29770. Let p = -4/13 + a. What is the common denominator of n and p?
5
Let y = -71 + 287/4. What is the common denominator of ((-1)/(-8)*-123)/6 and y?
16
Calculate the common denominator of (1300/(-56))/(-5) + 1 and -31/22.
154
Let g be 4 + 2 + (-1 - 2). Suppose 3*q - 6 = -4*z, 0*q - 5*z + 3 = g*q. Let y = 16 - 7. Calculate the lowest common multiple of y and q.
18
Suppose -2*v = -73 + 13. Find the common denominator of ((-51)/v*2)/1 and 4/18*31/(-2).
45
Suppose i = 0, -2*v + 0*i + 4*i = -112. Find the common denominator of 113/20 and -4 + 3 - 6/v.
140
Let m = -30/1021 - 2002001/6126. Let k = m + 329. What is the common denominator of k and -11/18?
18
Let q = 37/69 - 916/207. What is the common denominator of q and -109/30?
90
Let y be 2/4 - (-3)/2. Let x be (1/y + 2)*6. Suppose x + 13 = 4*m. What is the least common multiple of 4 and m?
28
Calculate the common denominator of -30/11 and (-438)/(-60) - (-1)/(-5).
110
Let j(f) = 2*f**3 + f**2 + 2*f - 3. Calculate the least common multiple of 4 and j(2).
84
Let t(b) = b**3 + 11*b**2 - 13*b - 11. Let q be t(-12). Find the common denominator of 414/40 - (-2)/8 and q - (-61)/(-6)*1.
30
Let t be 76/28 - (-4)/14. Suppose -2*m + 1 + t = 0, 2*g = 2*m. Let b = 19 - 9. Calculate the smallest common multiple of g and b.
10
Suppose -m - m + 5 = q, -m = 0. Suppose 5*c - 5*p - 