-849)/(-516) + 96/(-128).
1720
Let n(h) = 3*h**2 + h + 10. Let r be n(13). Let k = r + -3697/7. What is the common denominator of -55/12 and k?
84
What is the common denominator of 1/139 and (-80)/(-440) + (0 - (-1586)/(-132))?
834
Let u = 491/330 + -16/11. Let v = u + 3/10. What is the common denominator of 53/11 and v?
33
Let s be (4 - (-211)/(-22))/((-138)/298). Let o = -835109/54257 - -1/2359. Let n = o + s. Calculate the common denominator of n and -53/16.
176
Calculate the common denominator of 143/84 and (-16)/(-55104)*37 + 2/(-14).
3444
Suppose j - 5*i + 357 = 0, -3*j + i + 2*i - 1071 = 0. Find the common denominator of (-901)/j - 0/1 and 53/30.
210
Find the common denominator of 57/(-360) + (-185)/111 and -32/125.
1000
Let s be (-13 + 11)/((-4)/58). Let h = s + -7. Let r(v) = v**3 - 11*v**2 + 20*v + 2. What is the smallest common multiple of h and r(9)?
220
Suppose 4*f + 12 = 0, 8*w + 189 = 10*w + f. What is the lowest common multiple of 168 and w?
672
Suppose 9*n - 7104 = -7*n. Let i = -422325 - -7609837/18. Let l = n - i. What is the common denominator of l and 63/8?
72
Let o(f) = -3*f - 2. Calculate the smallest common multiple of 1 and o(-3).
7
Let y = -383/5 - -10259/140. Calculate the common denominator of 19/492 and y.
3444
Let t = 4040 - 4026. Let c be 86/3 - 4/6. Suppose -4*z = z - 4*p - c, -2*z = 4*p - 28. Calculate the least common multiple of t and z.
56
Let s(j) = -j**2 + 25*j + 155. Let n(y) = y**3 - y**2 + 7. Let i be 1*-1*0/2. Calculate the lowest common multiple of n(i) and s(30).
35
Let y = 34/9 + 17/36. Calculate the common denominator of y and -51/103.
412
Let h be (-2939)/11820 + 2/8. Let q = 180311/41370 - h. Find the common denominator of -57/8 and q.
56
Let l = -3423/34 + 99. What is the common denominator of (-2)/(-8) + 299/(-36) and l?
306
Let y = -286753/129713 + 1/6827. Calculate the common denominator of y and -35/9.
171
Let p = 23 - -14. What is the least common multiple of p and 2?
74
Suppose -5*u + 113 - 29 = -2*y, 0 = 5*u + y - 93. Suppose -u = -11*d + 4. Calculate the least common multiple of d and 9.
18
Let g = 958702/93 - 10308. What is the common denominator of g and 73/30?
930
Let d = 77 + -55. Let z(h) = h + 8. Let i be z(-6). Suppose 0 = -3*n + 3, -3*l - 3*n + i*n + 31 = 0. Calculate the least common multiple of l and d.
110
Suppose 54 = -5*t + 9. Let n = t + 15. Calculate the least common multiple of n and 56.
168
Let p(t) = -t**3 + 19*t**2 - 20*t + 12. Let x be p(18). Calculate the common denominator of (-28)/x + 2/(-6) and 7/3.
6
Let n(y) = y**3 - 10*y**2 + y + 18. Let u be n(11). What is the lowest common multiple of (-9)/(-2)*u/45 and 12?
60
Suppose 5*u + 4*q + 124 = 0, 3*u - 2*q + 6*q = -76. Calculate the common denominator of 2/28*1*75 and (5 - 6) + (-153)/u.
56
Let t = -127 - -198. Suppose -t = -4*g + 153. What is the common denominator of (-2)/4*(-752)/g and -18?
7
Let y be (-1)/69*(4 + 16). Let b = -257/92 + y. Find the common denominator of b and ((-1)/(-12))/(2/28).
12
Suppose -3*a - 55 = -8*a + 3*y, 0 = 2*y. Let r(o) = -13*o - 7. Let f be r(-4). Calculate the smallest common multiple of 25*(-3)/f*-6 and a.
110
Let f(c) = 15*c**2 - 8*c - 2. Let k be f(4). Calculate the smallest common multiple of 4 and k/(-6)*-1 + 1/(-3).
68
Suppose 0 = -5*j - 4*y + 30, 4*j = 5*y - 6*y + 24. Find the common denominator of 5/236 and j/45 - 1228/360.
2124
Let w(f) = f**3 - 25*f**2 - 26*f + 13. Let d be w(26). Let z(a) = -a**2 + 12*a + 27. What is the least common multiple of 34 and z(d)?
238
Let m = 44 + -104. What is the common denominator of ((-1862)/m)/7 - (-24)/60 and -22/7?
42
Let w(d) = 27*d + 3. Let h be w(-3). Let n be 4 - (1 - 48117/h). Let x = 614 + n. What is the common denominator of x and 64/3?
78
Let j = 2528/705 - 15/47. Let o = -1/37 + -1699/111. Calculate the common denominator of o and j.
15
Suppose 0*l + 48 = -4*l - 5*u, u + 32 = -4*l. Let n be 119/l - -1*1. What is the common denominator of -40/7 and (n/(-40))/(8/(-82))?
70
Let z = -11 - -15. Suppose 0 = -o - z*o - s + 64, 24 = 3*o - 3*s. Suppose -i = -o - 6. Calculate the lowest common multiple of i and 16.
144
Let y = -227269/22 + 10333. Find the common denominator of y and 13/4 - 3 - 169/(-20).
110
Let y = 15 + -5. Let d = 63 - 62. What is the smallest common multiple of y and (-18)/2*(-1)/d?
90
Let d be (-166)/(-530)*(-35)/112. Let w = -194/53 - d. Let l = 326/7 - 1731/28. What is the common denominator of w and l?
16
Suppose 5*n = 2*n + 117. Suppose 24 = 40*d - n*d. What is the smallest common multiple of 14 and d?
168
Let r = -62/55 + -102/11. Suppose 4*p = 40 + 48. Find the common denominator of r and (44/p)/(5/(-22)).
5
Suppose -3*l - 2*z = -0*l + 6612, 2*z = 3*l + 6600. Let p = l - -15380/7. Let k = 10757/11 - 977. What is the common denominator of k and p?
77
What is the common denominator of -38/63 and (-1704)/180 + 11 - 4/6?
315
Suppose 15 = 6*u - 21. Let g(i) = i**2 + 7*i + 8. What is the smallest common multiple of g(-8) and u?
48
Let t = 48 + -38. Let n = 665 - 443. What is the smallest common multiple of t and n?
1110
Let i = -10 + -8. Let g = 11/24 - 11/8. Calculate the common denominator of g and (-3)/4*404/i.
12
Let f = -4431 + 514029/116. What is the common denominator of f and -41/2?
116
Let x = 22339/237717 + -47/433. Let g = -37753/8784 + x. Calculate the common denominator of g and -13/40.
80
Let f = 1045 + -1000. What is the smallest common multiple of 18 and f?
90
Let j = 1683/2 + -805. Calculate the common denominator of j and -79/108.
108
Suppose -10*i + 120 = -7*i. Suppose -5*l = -7*l + i. Suppose -6*q + l = -4*q. Calculate the lowest common multiple of q and 10.
10
Suppose -3*z + 2*h = -22, 3*z - 2*h = z + 18. Let j(c) = c**3 - 5*c**2 + 6*c - 5. Let m be j(z). Calculate the smallest common multiple of 10 and 8/m - 1/(-3).
30
Let q be (12/30)/((-3)/405). Let a = -26659/6 - -4467. Calculate the common denominator of (47/(-5))/(q/(-30)) and a.
18
Let y = 18399 + -2060713/112. What is the common denominator of -89/8 and y?
112
What is the common denominator of 1/77 and (-180)/(-224) - 2/4*-2?
616
What is the common denominator of ((-162)/(-36) - -10)/((-44)/3) and -67/16?
176
Suppose 5*h = 251 + 49. Suppose -h = -m - 2*m. Calculate the least common multiple of m and 8.
40
Let i = 50645/11 - 4608. Let o = 2987/30 - 537/5. What is the common denominator of o and i?
66
Calculate the common denominator of -5/18 and (138/144 + -1)*-61.
72
Suppose -7*k - 35 = -7. Find the common denominator of -9/7 and 2 - k/8*41/3.
42
Suppose -4*w + 100 = 20. Let g be ((-136)/(-10))/(w/350). Calculate the lowest common multiple of (-2)/(-3) + g/21 and 16.
48
Let y = -6061/3 + 2005. Find the common denominator of -68/177 and y.
177
Suppose 4*n + 212 = 4*k - 2*k, 4*n + 3*k + 222 = 0. Let l be (72/n)/((-2)/3). Find the common denominator of l/14 + 143/(-91) and 44/5.
35
Suppose 37*y = 42 + 69. What is the lowest common multiple of 470 and y?
1410
Calculate the common denominator of (14/147)/((-4)/177) and (-1 + (-25)/(-24))*(-35 - 191).
84
Suppose 2*d - 5*a + 16 = 0, -d - 12 = -4*a + 2. Let i be (d/4)/((-2)/76). Let v = i + 23. What is the lowest common multiple of 4 and v?
4
Suppose -677 = -35*d + 1073. What is the smallest common multiple of 55 and d?
550
Let f(l) be the second derivative of l**4/12 - 13*l**3/6 - 6*l**2 + 12*l. Let o = 57 + -39. Calculate the smallest common multiple of o and f(15).
18
Let u = 7 + -5. Suppose u*l + l = 30. Suppose 0 = -d - 4*z + 40, 12*d + 2*z - 250 = 0. What is the smallest common multiple of d and l?
20
What is the common denominator of 5/4 and 177/(-1298)*(-2 - 394/(-96))?
352
Find the common denominator of -41 and (-1 + -1)*(-183)/(-414).
69
Let r(s) = -s**2 + 13*s - 2. Suppose 0 = -2*c - 4*t + 16, 9 = c - 2*t - 7. Let v be r(c). Let p = -9 + v. Calculate the smallest common multiple of 1 and p.
1
Calculate the common denominator of 51/22 and (145216/(-130560) - (-2)/17) + 1.
22440
What is the common denominator of -21/130 and (-119)/(-153)*2/26?
1170
Let j be (-6)/(-4)*(-76)/(-6). Let k = j + -13. Calculate the least common multiple of k and (-2)/2*(-3 + -4).
42
Suppose -b - 4 = 3*v, 0*b + 6 = 4*b + v. Let j = 5 - 4. Let m = j + 1. Calculate the smallest common multiple of m and b.
2
Su