. Calculate the common denominator of -113/28 and o.
28
Suppose 2*k = -3*h + 33, -12*h + 7*h + 48 = 3*k. Suppose -27 = -4*m - 3*q + 3, -4*q = -2*m + 4. What is the least common multiple of k and m?
42
Suppose j = 13*j + 132. Let w = 33 + j. What is the least common multiple of w and 4?
44
What is the common denominator of (-70)/36 - ((-140)/90)/(-7) and 71/18?
18
Suppose 2*u - 5520 = -0*u - 4*g, 4*u = 2*g + 11020. Let h = u + -30343/11. What is the common denominator of 23/8 and h?
88
Suppose -6*p + 15943 = -19967. Let o = p - 8869. Let i = o + 57723/20. Find the common denominator of i and -71/14.
140
Let p = -55 - -303. Calculate the least common multiple of 7 and p.
1736
Let b be (-2*1)/4*(-66)/(-3). Let q(k) = -k**2 - 11*k + 20. What is the smallest common multiple of q(b) and 10?
20
Let h = 317/36 + -19/2. What is the common denominator of h and -91/20?
180
What is the common denominator of 5 - (2466/60)/3 and -25/24?
120
Suppose w + 7 = 4*p, 3*p + w = 4*w + 3. Suppose -3*b = -4*k + b - 8, -4*k = -p*b. Let h = 3 + 3. What is the least common multiple of h and k?
6
Suppose 0 = 5*x - f - 22, x - 3*f + 3 = -1. Suppose 4*d = 3*b - x, 0 = -3*d - 2 - 4. Let t = b + 21. What is the least common multiple of 12 and t?
60
Let q = -841 + 974. Calculate the smallest common multiple of q and 35.
665
Let z = -78 - -76. Calculate the common denominator of -17/6 and 6 + -2 + z - 142/8.
12
Let q = 62 + -58. Suppose 0 = d + q*d - 60. Let j = -13 + 21. Calculate the lowest common multiple of j and d.
24
Suppose i + 2*b = -0*i - 3, 0 = -b - 4. Let u(o) = -o**2 - 7*o - 2. Let w be u(-6). Suppose w*f - 3 - 21 = 0. What is the smallest common multiple of i and f?
30
Suppose 0 = 5*d - 10*d. Let p be (d - 1)*-1*-6. What is the common denominator of ((-4)/p)/((-12)/(-225)) and 7/20?
20
Find the common denominator of -181/30 and 118 + -123 - (-96)/22.
330
Let r = 2933/34 - 84. What is the common denominator of -53/8 and r?
136
Let q(i) = -i**3 + 57*i**2 + 183*i - 72. What is the least common multiple of q(60) and 162?
324
Suppose -9*a + 18 = -0. Suppose -3*b + 2*m + 13 = -a*b, -3*m = 2*b - 19. Let n(x) = 3*x - 9. Calculate the smallest common multiple of b and n(6).
99
Suppose -8*g = -27 - 5. Let z(s) = s**2 + 6*s - 4. What is the smallest common multiple of z(g) and 3?
36
Let y(s) = s**3 - 5*s**2 + 13*s + 4. Calculate the smallest common multiple of 16 and y(4).
80
Let k = -58609/3624 + 7/1208. Let q be 7/(28/(-12800)) - -2. Find the common denominator of k and (q/126 - -5) + (-2)/7.
6
Let g(o) = o**2 + 4*o + 1. Let y(q) = -3*q**3 - q**2 + 1. Let r be y(1). Let h be g(r). Calculate the least common multiple of (-18)/(-3 + h/(-2)) and 32.
288
Let x(f) be the third derivative of 0 + 0*f + 1/30*f**5 - 3*f**2 - 1/8*f**4 - 1/3*f**3. What is the least common multiple of x(4) and 18?
18
Let t = -5 - 0. Let x(i) = 6*i**3 - 2*i + 1. Calculate the smallest common multiple of t + 6 - (0 + -1) and x(1).
10
Let i = 5935/3 + -1956. What is the common denominator of i and -107/12?
12
Let v = 1/505 + 20697/4040. Find the common denominator of 6/((-5508)/4689) + (1 - -5) and v.
408
Let b = 32 - 50. Find the common denominator of 91/10 and (6/9 - 46/b) + -4.
90
Suppose -4*k = -6*k + 6. Let a be k/(-12) + 138/8. Let m = a - 7. What is the smallest common multiple of 12 and m?
60
Let c be (0 + 0)*(1 + -2). Suppose c = -3*u - 4*m + 12, m - 1 = -u + 4. Calculate the lowest common multiple of u and ((-6)/(-7))/((-9)/(-63)).
24
Let h = -502/34425 + 4/405. Let q = -41233/1700 - h. Calculate the common denominator of q and 126/(-2)*(-12)/180.
20
Let a = 274904089/28 + -9819710. Let r = a - -13059/7. Let d = r + -5681/36. Calculate the common denominator of 7/20 and d.
180
Calculate the common denominator of -46*(2 - (201/66 - 1)) and -9/2.
22
What is the common denominator of ((-1749)/176)/((-399)/(-28)) and 17/18?
684
Let n = -202952/8853 + 892/39. Calculate the common denominator of n and -53/3.
681
Let j = 50 - 20. What is the smallest common multiple of j and -3 - (-5 + (-3 - -2))?
30
Suppose 4*a + 50 = 3*x, a - 2*x - 5 + 20 = 0. Suppose -20 = -6*b + 2*b, 4*r = 5*b - 5. Find the common denominator of 10/(-3)*a/r and -32.
3
Suppose 15*z - 440 = -125. What is the smallest common multiple of 66 and z?
462
Let r(c) = 39*c - 5. Let n be r(2). Let b = 133 - n. Calculate the common denominator of (-219)/b + (-4)/(-8) and -67/22.
220
Let b be (15/5 - 3) + 68. Suppose -3*w + 3 + 25 = 4*i, -5*w + b = -4*i. What is the least common multiple of 8 and w?
24
Calculate the common denominator of -52/7 and (-4 - 134/(-4))/((-18)/12).
21
Let w(h) = -h + 10. Let i be w(5). Let y be 0/(-2) + (4 - i). What is the common denominator of 35/8 and y/12*749/7?
24
Let l(n) = 6*n - 2. Calculate the least common multiple of -1*1 + (-1617)/(-49) and l(4).
352
Let c be (-4)/6 - (-148)/6. Let m = 38 - c. Let z = 40 - 22. What is the smallest common multiple of z and m?
126
Suppose -3*o - o + 120 = 0. Suppose -26*u + 77 + 1201 = 420. What is the least common multiple of o and u?
330
Let y(q) = 33*q**2 + 18*q - 1. Calculate the smallest common multiple of y(-3) and 16.
1936
Suppose 57 = 17*q + 6. What is the smallest common multiple of q and 827?
2481
Suppose -j - 3*j = 12, a + 10 = -3*j. Let v be (-2)/(-6) + a/3. Suppose v*q - 10 = -5*q. Calculate the least common multiple of 10 and q.
10
Calculate the common denominator of ((-1047)/(-75) + -3)/((-72)/30) and (603/(-96))/((-39)/(-12) + -1).
120
Let z = -481 + 1408/3. Let r be (18/(-5) - 0)/(24/33). Let i = -34/5 + r. What is the common denominator of i and z?
12
Suppose -i = -1, 0*o + i = o + 1861. Let x = o - -40913/22. Calculate the common denominator of -25/4 and x.
44
Let j = 19491/5456 - 46/341. Find the common denominator of j and 89/416.
416
Let x(l) = l - 6. Let v be x(5). What is the common denominator of 1/6 and 2/v - (-365)/(-100)?
60
Suppose 0*a - 3*a + 30 = 0. Suppose -2*f = -10, -4*i - f = -2*f + 5. Suppose i = -n + 8 - 0. Calculate the least common multiple of a and n.
40
Let s = -18/145 + -13413/580. What is the common denominator of 61/12 and s?
12
Let i = 1260856 - 10071815/8. Let p = -3823 - -5693. Let k = p - i. What is the common denominator of k and 55/2?
8
Let n = 67/8 - 77/12. Calculate the common denominator of -131*(3 - (-74)/(-24)) and n.
24
Suppose 61*o - 840 = 41*o. Calculate the lowest common multiple of 102 and o.
714
Let r = 75231 + -9930541/132. What is the common denominator of r and -1/18?
396
Let g be ((-15)/(-6))/(-1)*16/(-10). Suppose 0 = 4*q - g - 0, 0 = 5*z - 3*q - 67. What is the smallest common multiple of z and 6?
42
Let f(o) = o**2 - o - 4. Let w be f(-7). What is the common denominator of w/(-14)*7/(-3) and (-2 + -2)*(39/8 + -2)?
6
Suppose -24*s + 22*s + 4*a + 16 = 0, a = -s + 2. Let d be 2/(-5)*-215*1. What is the common denominator of (-7)/28*d/s and -49/6?
24
Let d = 1824 + -1800. Calculate the lowest common multiple of d and 72.
72
Suppose t - 1 - 2 = 0. Let f = 160 + -150. Calculate the least common multiple of t and f.
30
Let q = 5/48 - -125/24. Calculate the common denominator of q and -15/206.
1648
Let v be 244/24 - 2/(-24)*-2. Calculate the smallest common multiple of 1 and (-3 - (-18)/v)*(-10)/3.
4
Suppose 10*v - 12*v = 2*u - 406, 2*u - 1018 = -5*v. Calculate the lowest common multiple of 12 and v.
204
Let r be (-4 - -2)*-1 - 3727/77. Let a = r - -593/14. Find the common denominator of a and (-2)/3*63/(-16).
88
Let h = -4666 - -261311/56. What is the common denominator of h and 69/56?
56
Let h = -450 + 879/2. Let s = h - -32. What is the common denominator of s and 53/6?
6
Suppose -145*z = -155*z + 160. Calculate the lowest common multiple of 24 and z.
48
Let k = 1009385/64 + -15773. Find the common denominator of k and 7/24.
192
Let s = 25 - 20. Suppose -y - r + 3*r = -10, -s*r = y - 24. Let w = y + 6. Calculate the lowest common multiple of w and 6.
60
Suppose 0 = 3*r + f + f - 58, -2*f + 98 = 5*r. Let z be 4 + 2*(6 - 4)/(-2). Calculate the least common multiple of r and (5/(-35) + 29/7)/z.
20
Let p = -5519537/168 + 32855. Calculate the common denominator of p and -1/24.
168
Let z = 167455/72 - 2327. Find the common denominator of z and -127/24.
72
Let s = -55 - -103. What is the least common multiple of 9 