090. Find the common denominator of a and (53/24)/(2/4).
12
What is the common denominator of (816/280)/((-4)/(-10)) and -8/5?
35
Let q = 13 + -8. Calculate the smallest common multiple of 8 and q.
40
What is the common denominator of 1275/(-50)*(-1)/21 and 31/10?
70
Let r(m) = 2*m - 1. Suppose 3*l + 14 = 4*o, 4*l + 11 + 3 = 3*o. Suppose -o*t + 9 = -t. Calculate the smallest common multiple of r(1) and t.
9
Suppose -14 = -2*a - 4. Calculate the lowest common multiple of a and 11.
55
Suppose 3*h - 10149 = 1941. Let u be 1 - -1 - h/2016. Let v = u - 7169/1008. What is the common denominator of v and -81/10?
90
Calculate the common denominator of 1/(-2) + (-38)/48 and -73/33.
264
Let k be (-3)/(-12) - (-518)/(-2008). Let b = -1797/5020 - k. Find the common denominator of 31/10 and b.
20
Suppose 0 = -3*p + 4*f + 42, -3*f + 8 = 5*p - 33. Calculate the least common multiple of (3/(-9))/(1/(-30)) and p.
10
What is the common denominator of -91/10 and -28*((-12)/27)/(-4)?
90
Suppose -j - 15*j + 160 = 0. Calculate the smallest common multiple of j and 11.
110
Suppose 3*j + 4*q = 36, -j + 12*q - 8*q = -12. Calculate the lowest common multiple of 9 and j.
36
Let j = 14 - 10. Let t = 31 + -20. Suppose -2 = f - t. Calculate the lowest common multiple of f and j.
36
Suppose -4*k - 432 = -2*k. Let w = 120 + k. What is the common denominator of -13/22 and -1*10*(-21)/w?
176
Let l = 53 + -39. Let f = -24 + 42. Calculate the lowest common multiple of l and f.
126
Let g = -325051/115568 - -1/7223. What is the common denominator of -7*9/(-30) + 0 and g?
80
Let o be 1/(-5) - 1764/(-70). What is the lowest common multiple of 235/o - (-4)/(-10) and 9?
9
Let d = -113 - -119. Calculate the lowest common multiple of d and 2.
6
Let r(p) = -p - 2. Let y(o) = -2*o**2 - 4*o - 4. Let m be y(-3). Let s be r(m). Find the common denominator of 25/12 and (-9)/s - (-1 + -2).
24
Let k be (-2)/6*0 - -3. Suppose 6 = -0*w + k*w. Calculate the least common multiple of w and 10/3 + 5/(-15).
6
Let d(m) = m**2 - 10*m - 23. What is the lowest common multiple of d(13) and 16?
16
Let w be -3 + (-2 - 52811/(-8)). Let x = -6605 + w. Find the common denominator of x and -21/2.
8
Calculate the common denominator of -91/6 and (-56)/(-37) - (15 - 13).
222
Suppose 2*s = 3*s - 75. Let i(w) = -w - 4. Let n be i(-14). What is the lowest common multiple of s/n - (-1)/(-2) and 10?
70
Let o(m) = m**3 - 8*m**2 + 7*m + 6. Let x = 3 - -4. What is the lowest common multiple of o(x) and 2?
6
Let l(v) = v + 8. Let x be l(-8). Let q = -10 + x. Let b = q - -19. Calculate the lowest common multiple of 9 and b.
9
Suppose 0 = 4*k + 4*j + 536, -2*k + k - 134 = -2*j. Calculate the lowest common multiple of k/(-11) - (-6)/(-33) and 8.
24
Let x(b) = -3*b**2 + 1. Let a be x(-4). Let d = 13724/21 - 2123/3. Let k = a - d. Calculate the common denominator of k and -9.
7
Let t = 7 + 0. What is the least common multiple of t and 11?
77
Let a(v) be the first derivative of -7*v**2/2 - 6*v + 1. Calculate the lowest common multiple of a(-4) and (-6)/(-4)*(-80)/(-6).
220
Let m = 391/125 - -9/125. Find the common denominator of m and ((-91)/(-104))/((-2)/(-40)).
10
What is the common denominator of -23/8 and 0/(-1) - 202/36?
72
Let y = -183469/62298 + 2/3461. Calculate the common denominator of 73/2 and y.
18
Suppose 2*v + 16 = -0*v. Let q = v - -13. Calculate the least common multiple of q and 11.
55
What is the least common multiple of 8 and ((-760)/(-25))/(8/20)?
152
Let c = 17 - 3. Find the common denominator of (-130)/c*7/6 and -123/20.
60
Let r = 28832/11 - 2618. Suppose -2*m + j + 5155 = 0, -3*m - 3*j = -m - 5143. Let f = -28289/11 + m. Calculate the common denominator of r and f.
11
Suppose 2*l - 1 = -3*r - 3, 0 = -r - 2. Suppose 2*w = 4 - l. Suppose 0 = 2*j - w - 27. What is the least common multiple of j and 10?
70
Find the common denominator of -2 + -2*127/(-20) and 2/((-72)/593) + (-34)/(-153).
20
Let a = 15641/2172 + 39/181. What is the common denominator of -58/27 and a?
108
Let t = -8064 - -128971/16. Find the common denominator of t and -69/16.
16
Let c = -21 - -33. Calculate the lowest common multiple of c and 40.
120
What is the common denominator of (-4)/(-6) - 142/(-30) and 37/2?
10
Let f = -38 - -49. Let l = -6 - -8. Let w = -1 + l. Calculate the lowest common multiple of f and w.
11
Let k(b) = -b + 15. What is the least common multiple of 2 and k(11)?
4
Let h = 14153/10 + -1413. Let w be (-2)/(-24)*37569/2. Let a = w + -1557. Calculate the common denominator of h and a.
40
What is the common denominator of -45/7 and (27/(-30))/((-1)/(-9))?
70
Let w(f) = 37*f**2. Let c be w(1). Let s = -77/2 + c. Find the common denominator of s and -10/7.
14
Let m = -18582 + 371541/20. Find the common denominator of -83/2 and m.
20
Suppose -10*f + 4*f = -180. What is the smallest common multiple of 18 and f?
90
Let b = 16 + -4. What is the smallest common multiple of b and 24?
24
Suppose 0*i + 4*i = 0. Let h = 4 + i. Suppose h = b - 0*b. Calculate the smallest common multiple of b and 11.
44
Suppose m + m - 1 = x, 2*x - 22 = -4*m. Suppose 4*j + 65 = 5*a, -2*a + 0*a = 3*j - m. Let b = 8 + -2. Calculate the smallest common multiple of b and a.
18
Let k(i) = 2*i + 17. Calculate the least common multiple of k(-5) and 11.
77
Let k(d) = -19*d - 2*d**3 + 16 - 3*d**2 - d**3 - 17*d**2 + 2*d**3. What is the smallest common multiple of 6 and k(-19)?
48
Find the common denominator of -63/20 and ((-5)/(-45))/(16/(-484)).
180
Suppose -3*h = -1 - 5. Suppose -41*t - 2 = -43*t. Calculate the lowest common multiple of h and t.
2
Find the common denominator of 17/7 and (-150)/104 + 5/(-20).
91
Let i = 5 - 7. Find the common denominator of 47/18 and (-429)/(-90) - i/(-3).
90
Suppose 3*i + 2*i = -4*g + 5, 5*g + 5 = 5*i. Suppose 5*s - 3*c - i = 0, 0*s - s - 5*c = 11. Let o = s + 6. Calculate the lowest common multiple of o and 7.
35
Let y be (6/11)/(1467/(-55580)). Let m = 67318/3946393 + -40/2201. Let s = m + y. What is the common denominator of 59/5 and s?
15
Find the common denominator of (-88)/110 - (-66)/20 and -29/5.
10
Let t = 1553/3 - 1067/2. Calculate the common denominator of 109/10 and t.
30
Let g = -40987/30 + 4135/3. Let k = 2131/610 - -2/305. Calculate the common denominator of g and k.
10
Suppose c - 20 = 3*v, -2*v = -7*c + 3*c + 40. Calculate the least common multiple of 7 and c.
56
Let w(c) = -5*c**2 + c + 1. Let d be w(2). Let q be (4 - -58)/(1 - -1). Let v = q + d. What is the smallest common multiple of 22 and v?
154
Let n = 64/5 + -604/55. Find the common denominator of n and -27/8.
88
Let d = -39287/16260 - 2/4065. What is the common denominator of d and 69/2?
12
Let r = -37 + 56. Let l = -10 + r. Suppose 3*f - 4*v - 61 = -l*v, 3*v + 91 = 4*f. What is the lowest common multiple of 10 and f?
110
Let o be (-1219)/(-28)*(-140)/(-1032). Let p be (-10)/(-9)*(-12)/(-430). Let i = p - o. Calculate the common denominator of i and -16.
8
Let j = 60485/12 - 5045. Let p = 130501/12 - 10885. What is the common denominator of p and j?
12
Let w be 124*-1*4/(-16). Suppose 5*p - w = -y, -5*p + 4*p + 4 = 0. What is the smallest common multiple of 5 and y?
55
Let n(y) = -y**2 + 5*y - 4. Let t be n(4). Suppose -l - 4*m + 48 = t, -5*m + 100 + 59 = 4*l. Calculate the common denominator of l and (-24)/14 + (-4)/(-14).
7
Let v = 99 + -193/2. Let b = v + -49/18. Let s = -1422/341 + 56/31. Calculate the common denominator of b and s.
99
Let x(s) = -4*s. Let q = 3 - 6. Let r = -7 - q. Calculate the smallest common multiple of x(r) and 6.
48
Let s = 30 - 18. Let j = -18 + 9. Let c = j - -13. What is the least common multiple of s and c?
12
Let c be 2/(3 + 11855/(-3952)). Let k = -63141/8 + c. Calculate the common denominator of k and 41/20.
40
Let c(t) be the third derivative of t**5/60 + t**4/24 - 4*t**3/3 + 2*t**2. What is the lowest common multiple of c(-4) and 6?
12
Let h = 831/116 + -41/29. Let y = 170039/20990 + -2/2099. What is the common denominator of h and y?
20
Calculate the common denominator of -97/2 and (-422)/56 + (-1)/4.
14
Let r(p) = p**3 + 4*p**2 + 4*p + 6. Let u be r(-4). Let j = u + 12. What is the least common multiple of 2 and j?
2
Let d = -1427/50 + 51/25. What is the common denominator of -1/7 and d?
14
Let v = -19785/138