and -33*(-5)/32 - 2.
32
Let y be (-1916)/1470 - (-50)/175. Let s = y - -29/30. What is the common denominator of s and -43?
98
Let o be ((-15)/25)/((-2)/10). Let z = 14 - o. Suppose 3*f - 127 = -2*j, -4*f = -0*f + 4*j - 176. What is the smallest common multiple of f and z?
429
Suppose 0*c + 3*c + 390 = 0. Find the common denominator of c/(-6) + 18/(-12) and (8/(-3))/(40/220).
6
Let a be (-1)/(63/6) + 9897/63. Suppose -59 + 164 = 5*o. What is the common denominator of 80/33 and a/o + (-28)/7?
231
Find the common denominator of (-40)/140 - 230/126 and (-2)/(-8*12)*86.
72
Let q(j) = -51*j**3 - 5*j**2 + 6*j + 5. Let i be q(5). Let x = i + 38909/6. Calculate the common denominator of x and -77/12.
12
Let d = -373713691/1298 - -287915. Find the common denominator of -99/236 and d.
2596
Let r = -1/353 + -8079/14120. Find the common denominator of r and -121/760.
760
Let u = -6 + 38. Find the common denominator of 5/2 - (-187)/(-4752)*102 and (1/u)/(5/(-170)).
144
Let w = -958 - -454. Let t = w + 546. What is the least common multiple of t and 28?
84
Suppose -6*r = -1546 + 286. Calculate the common denominator of 2961/r*2/(-24) and -91/4.
40
Find the common denominator of -26/9345 and 6/(2 + 1) - 3/((-270)/(-282)).
9345
Let l be 2/39*-3 - 5784309/(-26520). Let v = 3738/17 - l. Find the common denominator of v and -27/40.
40
Let v = 2/14915 + 1029083/387790. What is the common denominator of v and 71/2?
26
Suppose -3*c + 427 - 430 = 0, -19 = -o - 5*c. Calculate the least common multiple of 1260 and o.
2520
Suppose h + 118 = 3*h. Let c(x) = 540*x - 2689. Calculate the least common multiple of c(5) and h.
649
Let u = 91 - 97. Let b(g) = 7*g**2 - 7*g - 94. What is the smallest common multiple of 4 and b(u)?
200
Let g = 3214972859/2638 + -1218716. What is the common denominator of g and -23/14?
18466
Let z = 2727 - 2163. Calculate the least common multiple of z and 24.
1128
What is the lowest common multiple of 342 and (8/(-6)*(-1)/(-2))/(1371/(-217989))?
18126
Let g = 1907/16 + -121. What is the common denominator of (2/188)/((9/79)/(-3)) and g?
2256
Let b = 8607 - 8387. Calculate the least common multiple of 140 and b.
1540
Let f = 6554 + -6546. What is the least common multiple of f and 418?
1672
Let z = -177 + 365. Let g = 72 - z. Let q = -1393/12 - g. Find the common denominator of 56/5 and q.
60
Suppose -2309 - 162 = 7*q. Let d = -1072/3 - q. What is the common denominator of d and -143/24?
24
Let i(c) = 3*c**2 - 9*c + 20. Let z be i(8). Let f = -3973/12 + 998/3. Calculate the common denominator of (-6)/(-14) - (-962)/z and f.
60
Let u be (6 + (-14854)/28)/(10/6). Let p = -621/2 - u. What is the common denominator of p and 31/9?
45
Let o = 158/55 - 39/22. Suppose 0 = -5*t - 2*p + 63 - 1, -3*t + 3*p + 33 = 0. Calculate the common denominator of (381/t + 5)/((-6)/4) and o.
10
Let s = 116442 + -116440. Let a be -4*(-2)/4 - -2. Suppose -30 = x - a*x. What is the lowest common multiple of s and x?
10
Let r(c) be the third derivative of c**5/30 - 17*c**4/24 + 8*c**3/3 - 2*c**2 - 12*c. Calculate the smallest common multiple of r(9) and 40.
200
Let i be (-176)/3*(-36)/24. Let u = 1592 + -12677/8. What is the common denominator of u and 4 + 19/(-4) + 94/i?
88
Calculate the lowest common multiple of 9 + (-11 - -35) - ((2 - -1) + 0) and 145.
870
Let l(r) = -102*r + 860. What is the smallest common multiple of l(-6) and 552?
4416
Let c = -1189/414 + 8/207. What is the common denominator of -37/345 and c?
690
Let j = -36927 + 109391/3. Let r be 1/(-2) - (-1814)/4. Let t = j + r. Find the common denominator of t and -22/5.
15
Let u(r) = -21*r + 1486. Suppose -4*x + 5*d = -145, 172 = 4*x - 0*x + 4*d. What is the lowest common multiple of x and u(66)?
200
Let r = -2254 + 2284. Calculate the least common multiple of 9 and r.
90
Find the common denominator of (-24)/(-27) - (-7)/((-42)/(-6)) and (-186)/(-81) - (7 + -15 - -8).
27
Suppose -7*i + 2*i + 15 = 5*x, -4*i = 3*x - 14. Let s be (4/(-12))/(x/688). Let w = s - 128. What is the common denominator of w and 97/8?
24
Suppose 162*t + 1602 = 164*t + 2*l, 1609 = 2*t + l. What is the least common multiple of t and 2020?
4040
What is the lowest common multiple of 16 and (1034/(-6) - -13)*24/(-4)?
3824
Let z = -9204 + 73637/8. Let w = 310 - 94. Calculate the common denominator of z and (-1914)/w - 4/18.
24
Let i(k) = 8*k**3 + k**2 - 14*k + 35. What is the smallest common multiple of i(2) and 30?
150
Let m(p) = -p**3 - 17*p**2 + p + 57. Let s be m(-17). Let z = 44 - s. Calculate the least common multiple of 352 and z.
352
Let q(a) = a**3 - 16*a**2 + 75*a - 1212. Calculate the smallest common multiple of q(19) and 44.
14256
What is the least common multiple of 2463 and (-2)/6 + (-3)/(-2) + (-127)/762?
2463
Let y(a) be the first derivative of -25*a**2/2 - 46*a + 2. What is the lowest common multiple of 30 and y(-4)?
270
Suppose 4*j - 120 = 96. Let t = 18512 + -333361/18. Find the common denominator of t and (-164)/j - (-2)/3.
54
Let d = 1/23458 - 66010823/258038. Let g = 21665/88 + d. What is the common denominator of g and 91/16?
16
Find the common denominator of 739/(-246) - (23 - 26) and 7 + (10/20 - -6).
246
Suppose -4*l + 53 - 161 = 0. Let t be 1060291/120840 + l/(-45). Let s = t + 2/3021. Calculate the common denominator of s and -59/18.
72
Let g = 30 - 50. What is the lowest common multiple of 10/(-2) + 40*(-8)/g and 2?
22
What is the common denominator of 167/420 and 120/(-672)*856/140?
2940
Let o = -9386/5 + 300097/160. Let v = 550 - 22077/40. Calculate the common denominator of o and v.
160
Suppose 0 = -5*i + 4*v + 1654, -17*i = -20*i + 4*v + 1002. What is the lowest common multiple of i and 4?
652
Suppose 2*n + 17 = -2*o - 3*o, 2*o - 2 = -3*n. Suppose f = 2*b, -3*f + 8 = n*b - 2. Calculate the least common multiple of f and 9.
18
Let j(u) = 17*u - 6*u + u**2 - 16 - 8*u. Let l = 3 - 10. What is the least common multiple of j(l) and 48?
48
Suppose f + 6 = 3*f. Suppose f*b = -b. Suppose 2*i + 4*j = 38, 4*i + b*j = -j + 69. What is the lowest common multiple of i and 9?
153
Let y be 2 + -6 + 37 + -35. Let g(k) = -k**3 + 5*k**2 - 4*k + 3. Calculate the smallest common multiple of g(4) and 10 - y/(8/(-20)).
15
Suppose 0 = -11*t + 2*t + 576. Let f = t + -58. What is the least common multiple of -12*(20/(-8) - -1)/f and 11?
33
What is the smallest common multiple of 4/(-7)*1827/(-174) and 230?
690
Let h = 9 - 27. Let d = 2075 - 2033. What is the common denominator of 18 + h + (-122)/d and 13/12?
84
Let w = -836776 - -1054337911/1260. Find the common denominator of -43/350 and w.
6300
Suppose k - 5169 = -21*z, 39*k - 38*k + 2*z - 5245 = 0. What is the smallest common multiple of 33 and k?
57783
Let y(l) = -l**2 + 7*l + 17. Let o be y(9). Find the common denominator of (510/(-240))/((-1)/20) and o/2 - 437/(-115).
10
Let a = 59 - 33. Suppose -3*h + 16 = -t, -t + a = -0*h + 4*h. Suppose f + 13 = 2*i, -i + f + 40 = 4*i. What is the lowest common multiple of i and h?
18
Let b = -4/387755 - -1556293472/387755. Let c = b + -3704. Let k = c - 308. Find the common denominator of k and -29/36.
180
Let a be 13*(-1 - -2) + 2. Let j = 17 - a. Suppose -82 + 4 = -j*k. Calculate the least common multiple of 18 and k.
234
Let d be (-469)/(-28) + -2 - (-6)/(-8). Calculate the common denominator of (d/(-20) + 1)*(-2960)/(-1008) and -143/42.
42
Let r be 9*5/3*-1. Calculate the common denominator of (-4470)/(-200) - (-6)/(-10) and ((-12)/r + -1)/((-24)/339).
40
Let g(i) = -i**2 - 13*i - 8. Let s be g(-8). Let c be -8 + 6 + s/593978*79621. Let y = c - 1/31262. What is the common denominator of y and 85/22?
418
Suppose -262 = -3*h - 34*y + 30*y, -6*y + 438 = 5*h. Suppose -105 = -2*j + 3*r, -2*j = -3*j - 3*r + 75. Calculate the smallest common multiple of h and j.
180
Calculate the common denominator of 127/156 and (-363)/416 + -75*(-2)/180.
1248
Suppose 3*g = -v + 4, -53*g + v = -49*g - 10. Let u(s) = -s**3 + 8*s**2 + 2*s + 4. Calculate the lowest common multiple of u(6) and g.
88
Find the common denominator of 13/20 and 173/(-70)*(8 - 3400/432).
540
Let f = 18267877661/24877 + -734328. What is the common denominator of f and -2/9?
223893
What is the least common multiple of 1377 and (269 + -286)/(2/(-72))?
5508
Suppose 0 = 34*l - 5006 + 3782