.
168
Let z be (36/(-3))/3 - 0. Let v = -71/212 - 14095/1908. Find the common denominator of v and (-14)/(-105)*(-177)/z.
90
Let v = 1923/14 - 741/7. Find the common denominator of v and 107/6.
6
Suppose -4*j = 16, -2*v + 4*v - 4*j - 32 = 0. What is the least common multiple of 14 and v?
56
Suppose 3*i + 17 = -3*t + 125, 0 = -3*i + 12. What is the least common multiple of 6 and t?
96
Suppose 2 = -2*d + 8. What is the least common multiple of 9 and d?
9
Let m(i) = -4*i - 7. Let v be m(-5). Suppose 5*w - 1 = k + v, 0 = 2*w + 2*k - 8. Suppose -7*t + 40 = -w*t. Calculate the lowest common multiple of 12 and t.
60
Let w = -2 + 25. Let r = 33 - w. Suppose 6*l - l - r = 0. What is the lowest common multiple of l and 10?
10
What is the lowest common multiple of 6 and 10 - 3/(-3)*1*-4?
6
Let k be -3 - -56 - (-4 + 2). Let h = k + -167/4. Calculate the common denominator of h and 67/16.
16
Let g = -1198 - -2317/2. What is the common denominator of 51/11 and g?
22
Let t(d) = 3*d - 2. What is the smallest common multiple of 14 and t(4)?
70
Let r = 3 + 1. What is the lowest common multiple of r/2 - (0 - -1) and 10?
10
Let c(z) be the second derivative of z**5/20 + z**4/4 - 2*z**3/3 + 2*z**2 + 5*z. What is the least common multiple of (-1)/(2/(2*-3)) and c(-4)?
12
Let b = -2 - -6. Suppose 108 = 7*u - u. What is the least common multiple of u and b?
36
Suppose 22 = -6*r + 76. What is the lowest common multiple of 8 and r?
72
Let o = 266 - 543/2. What is the common denominator of o and 45/4?
4
Let b(a) = -a**3 + 2*a**2 + 8*a + 4. Let z be b(-3). Let r be 9*-2*1/(-6). Suppose 8*x = r*x + z. What is the smallest common multiple of x and 10?
10
Let j be -3 - (-11 - -1 - -2). Suppose 14 = j*n - 86. What is the least common multiple of n and 16?
80
Suppose f - 132 = -5*g, 2*g + 28 = -2*f + 84. Calculate the smallest common multiple of g and 22.
286
Suppose -4*v + 103 = q, v + 3*q - 6 = 6. Calculate the smallest common multiple of v and 21.
189
Let n(t) = 6*t**3 + 4*t**2 - 4*t + 5. Let g be n(-4). Let d be (-2)/(-13) - 3022/g. Let u = -4663/506 + d. Calculate the common denominator of u and 41/8.
88
What is the common denominator of (-2)/108*2*-74 and -26/15?
135
Let c = 50 - 74. What is the smallest common multiple of 2 and (3/(-2))/(9/c)?
4
Let s = 23 + -9. Let b = 25 + -11. Calculate the least common multiple of b and s.
14
Suppose -5*k = 5*f - 35, k + 4*f + 17 = 2*k. Calculate the least common multiple of k and 30.
90
Let s(u) = u**3 - 5*u**2 - 7*u + 7. Calculate the least common multiple of 2 and s(6).
2
Find the common denominator of (-87)/20 - (-1 - -2) and -61/8.
40
Let j = 16 + -17. Find the common denominator of j - (75/(-16))/5 and 4/14 - (-1394)/168.
48
Let h = -15 + 19. Calculate the lowest common multiple of 2*(3 - 1*-2) and h.
20
Let n(m) = 3*m + 20. Let t be n(-13). Calculate the smallest common multiple of (-14)/4*-2 - -2 and (10 + t)/(6/(-4)).
18
Let p be (1194/(-126))/(134/72). Let h = -54/67 - p. What is the common denominator of h and -3?
7
Calculate the lowest common multiple of 16 and (84/(-70))/((-1)/10).
48
Suppose 4*m = -10 + 54. Suppose 0 = -i + 2*i - 11. What is the least common multiple of m and i?
11
Find the common denominator of 3 - 4*3/240 and 23/44.
220
Let f = 3213 + -51431/16. What is the common denominator of f and 2/12*318/4?
16
Let q = 18950567/19507950 - 197/14075. Let h = 2/693 - q. Find the common denominator of h and 61/20.
220
Suppose 7*f - 4 = 3*f. Let c = 5 + -4. Suppose -j = -f - c. Calculate the lowest common multiple of j and 11.
22
Let q(h) = -41154*h - 1. Let f be q(2). Let k = f + 17943323/218. Let y = -4792/327 + k. Find the common denominator of -29/8 and y.
24
Let y(z) = -z**3 - 4*z**2 + 3*z - 8. What is the least common multiple of y(-5) and 16?
16
Suppose 3*j = -n + 1, -6 = -5*j + n + 1. Suppose 3*i - 4 = i. Suppose 2*h + i*h = 44. What is the smallest common multiple of h and j?
11
Let j = -9179 + 137746/15. Calculate the common denominator of 109/18 and j.
90
Let y(p) = p**3 + 4*p**2 - 5*p + 2. Calculate the lowest common multiple of y(-5) and 8.
8
Let g = -95514/237515 - 3/3545. Let d be ((-3474)/4)/(6633/24). Let s = g + d. Calculate the common denominator of -61/2 and s.
22
Let q be (-5)/(-10) - (-37)/(-2). Find the common denominator of 2 + 2/(q/37) and 43/7.
63
Let j = 423 - 8453/20. Let z = j + -4/15. Find the common denominator of z and -125/6.
12
Let l be 10/(-3) - (-1)/3. Let g = l - -6. Suppose 0 = -g*b - 2*u - 140, b - 4*b - u = 139. Calculate the common denominator of b and -34.
1
Suppose -3*u = -38 - 22. Calculate the smallest common multiple of u and 12.
60
Let f = -203/16204 + -578245609/178244. Let t = 3241 + f. What is the common denominator of 43/20 and t?
220
Let l = 63403/8 + -7915. Calculate the common denominator of 12/78 + 302/(-104) and l.
8
Suppose 0 = -3*m + 4 - 1. What is the least common multiple of (-4)/14 - (-120)/28 and m?
4
Let b = 28/365 - -382099/730. Let n = b - 11553/22. Calculate the common denominator of n and 43/10.
110
Suppose -2*o + 40 = 5*b, -5*o - 55 + 189 = 4*b. What is the least common multiple of 6 and o?
30
Let t = 316 + -2515/8. Let z = -1281 - -11498/9. What is the common denominator of z and t?
72
Let p(z) = 7*z**2 + 2*z + 1. Let w(u) = -13*u**2 - 4*u - 2. Let x(k) = 5*p(k) + 2*w(k). What is the lowest common multiple of x(-1) and 10?
40
Suppose 2*m = 4*b - 3*m, -b - m + 9 = 0. Suppose 0*w - 106 = -b*u + 4*w, 4*u - 60 = -3*w. What is the lowest common multiple of 10 and u?
90
Let y be 7/14*(-1710 + 1). Let z = 83 - -793. Let o = z + y. Calculate the common denominator of o and 119/6.
6
Let v = -213535/6 + 36661. Let u = v - 1075. What is the common denominator of 113/10 and u?
30
Let w be (-17337)/(-6) - (-12)/20. Let z = -2886 + w. Find the common denominator of -19/26 and z.
130
Suppose -5*h = 3*m - 15, -3*m = 2*h - 3*h - 15. Let t = -1232/5 - -6887/30. Find the common denominator of t and 0 - (h + 97/8).
24
Let j be 4 - (1 + -5 + 1). Suppose -12*d + 45 = -j*d. Let r = 6 - 3. What is the lowest common multiple of d and r?
9
Let u = 10 + -6. Let z = 14 - u. Suppose 0 = 4*m - 8, -3*m = 4*j - 2*j - 14. Calculate the lowest common multiple of j and z.
20
Suppose -s - 4 = 4*g, s = 3*s. Let h = g + 1. Suppose h*y - 4*y + 20 = 0. What is the lowest common multiple of y and 1?
5
What is the common denominator of 6/(-51) + 1737/(-408) and 49/53?
424
Let u = 644 + -2561/4. Let j = -31001/11 - -2821. Find the common denominator of u and j.
44
Let y = -20127/884 + 4/221. Let p = 1/991 + 15851/4955. Find the common denominator of y and p.
20
What is the common denominator of 11/6 and (-715)/(-44) - 6/(-4)?
12
Let x = -58 + 63. Suppose 3*c = -5*y + 25, 5*c - 59 = -2*y - 11. Suppose 2*p + a - c = 2*a, -3*p + 4*a = -5. What is the smallest common multiple of x and p?
35
What is the common denominator of (-1)/(-5) + (-73)/40 and -11/10?
40
Let d = 644189 + -18527519831/28761. Let a = -987469/115044 - d. Find the common denominator of a and 45/4.
12
Suppose 0 = -3*n - 5*x - 8, -35 = -5*n + 4*x + 1. Let i = n + 12. What is the least common multiple of i and (-228)/(-14) - 6/21?
16
Suppose i = -4*i + 3*v + 34, -i = v - 2. Let k be 29379/(-12)*(-2)/i. Let q = k + -978. Calculate the common denominator of -19/18 and q.
90
Let y = -2937 + 14747/5. Suppose -4*d + 0*d + 8 = 0. Find the common denominator of d - (0 - (-156)/27) and y.
45
Let h be (123/63)/((-1)/(-69)). Let w = -138 + h. What is the common denominator of -62/5 and w?
35
Let b = 1/5647 + -129923/237174. Calculate the common denominator of -39/16 and b.
336
Let c = 12 - 9. Suppose -c*u = 3 - 36. What is the lowest common multiple of 10 and u?
110
Let h = -34/73 + 3236/365. What is the common denominator of -40/3 and h?
15
Let q = -1629/26 - -236/13. Suppose 3*t = -3*s - 87, 6*t + 124 = 2*t + 4*s. Find the common denominator of q and -2 - -2 - 279/t.
10
Calculate the common denominator of (-3)/(1/(22/4)) and 140/144 + (-4)/18.
4
Suppose 0*y + y = 4. Find the common denominator of (87 + y)/(0 + 4) and 63/8.
8
Suppose -16 = -4*h - 0*h. Let p = h - 2. What is the least common multiple of p and 8?
8
Let s(b) = b**3 + 5*b**2 + 2*b + 6. What is the smallest common multiple of 18 and s(-4)?
126
Suppose 8*l - 9*l + 8 = 0. 