the smallest common multiple of 4 and q/(-80) - 4/(-5)?
36
Let w(y) = -y**2 - 2*y + 24. Let x be w(4). Suppose 3*r - 23 - 4 = x. Calculate the least common multiple of r and 24.
72
Let z = 3444/125 + -621321/23000. Calculate the common denominator of 34/23 and z.
184
Suppose -103 = -4*t + 121. Let w be ((-8)/7)/((-16)/t). Suppose 4*m + w*g - g - 16 = 0, -g = 0. What is the lowest common multiple of 12 and m?
12
Let l be -3*(-11)/((-165)/(-70)). Let n be 1/(-7) - -8*9/l. Suppose 4*q = -j - 6, -4*q + 5*q = n*j - 33. What is the smallest common multiple of j and 2?
6
Let c = 26 - -7. Suppose 143 - 31 = -2*m. What is the common denominator of c and ((-4)/(-21))/(6/m)?
9
Suppose -145*s - 39*s - 15404 = -308332. What is the smallest common multiple of s and 48?
9552
Suppose 0 = -2*x + 4, 5*x = 9*s - 14*s + 495. Suppose 0*n + 5*g = 4*n - 95, -g = 5*n - s. Calculate the least common multiple of 24 and n.
120
Let o(p) = 4*p - 4. Suppose 30*u - 216720 = -0*u - 228*u. Calculate the least common multiple of u and o(6).
840
Let t = 236979/7 + -33847. Suppose -63 = f + 5*h - 23, -3*f = -2*h + 120. What is the common denominator of f and t?
7
Calculate the common denominator of 10/43 and 7/28*4 + (-1185)/1075.
215
Let x(c) = c**3 + 5*c**2 - 7*c + 2. Suppose 69*j - 9 = 66*j. Suppose j*r = v + 22, -v + 2 = 3*r - 2*r. What is the smallest common multiple of r and x(-6)?
24
Suppose 1920 - 2034 - 4968 = -66*p. Calculate the lowest common multiple of 350 and p.
3850
Suppose 7*o = 4*o - 216. Suppose -1 + 4 = h. What is the smallest common multiple of o/(-48) + (-21)/(-2) and h?
12
Let o = -24900 - -30220. Calculate the least common multiple of 40 and o.
5320
Let o = 11552 + -10292. Calculate the lowest common multiple of 70 and o.
1260
Let b = 8610 - 5699815/662. Find the common denominator of b and 97/22.
7282
Let t be (1/2)/(1/1400). Suppose -5*l - 5*n + t = -0*l, -n = -l + 136. Let r = l + -3305/24. Find the common denominator of -55/12 and r.
24
Suppose 0 = -15*i + 4 + 56. Suppose 21*a - 18*a = 93. Suppose -2*q = 4*t - 10, 4*q + a = 4*t - q. What is the smallest common multiple of i and t?
4
What is the common denominator of -67/1288 and 3*(-4)/54 - 19425/(-1512)?
1288
Let q = -20887 - -24382. Calculate the least common multiple of 1631 and q.
24465
Suppose 0 = -4*g + 61*i - 63*i + 11792, 2*g - 5904 = -3*i. What is the smallest common multiple of g and 33?
32406
Suppose -22 = -5*c + 4*o - 110, -o + 18 = -c. Let i be (0 + -4)*(-1 + (-108)/c). Let a = -5 - i. Calculate the smallest common multiple of a and 8.
72
Suppose -15*g = -5*g - 20. Suppose -y - 24 = -5*j, j + 0*j = -g*y - 4. Calculate the smallest common multiple of 44 and 3 - ((-2 - (y - -3)) + 1).
132
Find the common denominator of 22/(-9) - -2 - (-4982)/(-135360) and 53/656.
6560
Suppose -18*i + 74 = 20. Suppose 7*f - 5*f - 45 = -i*q, 5*f - q = 104. Calculate the smallest common multiple of 33 and f.
231
Let a be ((-6)/9)/((-258)/54 - -5). Calculate the common denominator of 638/(-112) + a + 9 and -137/126.
504
Let i = 49260 + -19309951/392. What is the common denominator of 29/14 and i?
392
Suppose -2*o - 3*i - 291 - 520 = 0, -4*o = -3*i + 1577. Let f = -387 - o. Calculate the lowest common multiple of 15 and f.
165
Suppose 4*t - 12816 = -23*t - 62*t. What is the least common multiple of t and 480?
1440
Let f = 105 + -100. Suppose h = -5*v - 512, -v + 26 = f*h + 114. Let o = v - -121. Calculate the lowest common multiple of 9 and o.
18
Suppose 0 = -g - 7*g - 40. Let b be (-10)/g + 0 + 204/(-2). Find the common denominator of 139/18 and 62*(-1)/b*-1.
450
Suppose 0 = -3*s - 2*w + 53969, 4*w - 38880 = -4*s + 33084. Let f = 1726709/96 - s. Find the common denominator of f and 74/20 + 1*2.
480
Let r = -135176 + 1198470401/8866. Calculate the common denominator of 59/12 and r.
53196
Find the common denominator of -89/48 and (9/(-15) - (-2220)/4200)*(-721)/(-102).
816
Suppose 70 + 31 = 3*w + 2*g, 2*g - 47 = -w. Let m = 23 - 16. Calculate the smallest common multiple of w and m.
189
Let f(n) = 188*n + 2. Let b(u) = 1191*u - 79789. What is the lowest common multiple of f(2) and b(67)?
1512
Let t = -2/16938101 + -71597351695/10433870216. Let h = -1/77 + t. What is the common denominator of 60/301 and h?
2408
Let u = 261837/10 + -26172. What is the common denominator of u and 73/16266?
81330
Suppose m + 3 = 4*f + f, 3*m = 2*f + 4. Let t = -93 + 162. What is the lowest common multiple of t and m?
138
Let t = 2754 + -1323. Calculate the least common multiple of 1749 and t.
15741
Let r = -116/109 + -5187/2398. What is the common denominator of (5 - ((-2398)/20)/11)/(2697/155) and r?
638
Calculate the lowest common multiple of 155 + 196 - (4 - 2)/(-2) and 605.
19360
Let n = 5/379 - 9635/12128. Calculate the common denominator of 89/38 and n.
608
Let i(a) be the third derivative of a**5/60 - a**4 + a**3/3 + 29*a**2 + 1. Calculate the smallest common multiple of 81 and i(24).
162
Let o = 20528602/583 - 35212. Find the common denominator of -99/1484 and o.
16324
Suppose 0 = -y - 1, -4937 = -3*a - 175*y + 174*y. Calculate the least common multiple of a and 10.
8230
Let j be ((-1)/(-16) + 0)/((-8)/(-105520)). Let n = 3333/4 - j. Let h = -1/32 + -413/96. Find the common denominator of n and h.
24
Suppose -3*k = f + 64, -7*k - 106 = -2*k + f. Let m = -9 - k. Let t(i) = -i**3 + 30*i**2 + 6*i - 174. Calculate the lowest common multiple of t(30) and m.
12
Suppose -a + 42403 = -20363. Let i be (3 - 5) + 71259/a. Let w = 1/951 + i. Calculate the common denominator of w and 49/4.
44
Let j(d) = -4391*d - 4315. Suppose -8 = 5*v - 2*p - 50, 0 = 5*v - 4*p - 44. What is the smallest common multiple of j(-1) and v?
152
Let b(t) = -6*t**3 - 40*t**2 - 9*t - 14. What is the lowest common multiple of b(-7) and 294?
294
Let v(d) = -2*d**2 + 21*d - 17. Calculate the smallest common multiple of 71 and v(7).
2272
Calculate the smallest common multiple of 85 - (12/(-36) + (-154)/(-21)) and 6.
78
Let c = -1772800169/2848 - -622472. What is the common denominator of 77/320 and c?
28480
Let g be (4/(-124))/(10/8000). Let k = g - -34139/1240. Calculate the common denominator of k and -57/32.
160
Suppose -126 + 2366 = 35*g. What is the least common multiple of g and 72?
576
Let d(h) = 6*h - 17. Let w = 51 + -47. Let o be d(w). Find the common denominator of -32/27 and 475/(-168) + 2/o.
216
Find the common denominator of (-2051)/(-5656)*4 + (4 + -3)*-1 and (-265)/(-66) + 8/12.
2222
Suppose 0*g + 4*g + 46 = f, 3*g = -2*f - 29. Let u be g/(-2)*-4*207/(-6). Let d = 5293/7 - u. Calculate the common denominator of d and -37/10.
70
Suppose -51*f + 1182 = 264. What is the least common multiple of f and 843?
5058
Let h = -2112 + 14796/7. What is the common denominator of h and -18/401?
2807
Suppose 4*c + 23 = 2*s - 59, 5*s = -c + 227. Let m = 4111 + -4066. Calculate the smallest common multiple of m and s.
45
Let k = 49 + -44. Suppose -k*r + 4 = 2*t, -4*r = 5*t + 9 - 2. Suppose -4*s = -r*h - 16, -5*h = -0*h + s - 15. Calculate the lowest common multiple of h and 13.
26
Let x = -39303040 - -34979701921/890. Let b = -3/89 - x. Find the common denominator of b and (-315)/10 - (3 + -1).
10
Let l(h) = -h**2 - 22*h + 18. Suppose -2*r - 3*m - 2 - 33 = 0, -r + 5*m - 37 = 0. What is the smallest common multiple of l(r) and 6?
18
Let a = 75396/11 - 72079269/10516. Find the common denominator of -53/1912 and a.
1912
Suppose -89 + 3110 = -1925*k + 22271. Suppose -2*h = -h. Suppose -57 = -h*l - 3*l. What is the least common multiple of l and k?
190
Let g be ((-3479)/35)/(6/(-65)). Let n(d) = 550*d + 6. Let r be n(-2). Let u = r + g. Find the common denominator of 11/26 and u.
78
Let c = 8693/60 + -581/4. Find the common denominator of c and (-271)/1701 + (-400)/(-56) + -7.
2430
Suppose -10*n = -18 - 22. Calculate the common denominator of -71/64 and ((-5742)/96)/(-11)*n/(-10).
320
Let c be ((-9)/(-4182))/((-15)/2605). Let s = c - 10/41. Find the common denominator of s and 39/85.
170
Let g = 259373/20 - 12965. Calculate the common denominator of g and -79/12.
60
Let m(p) = p**2 - 55*p + 398. Let k be m(47). Let o be (-14 + 2)*(-2)/4. Suppose o*j = 134 + k. What is the lowest common multiple of j and 8?
104
Let r = 32126034152461/43010 - 8216377152/11. Let t = 4/4301