(1/(4/(-24)))/(6/(-6)). What is the common denominator of ((-2951)/(-117) - f)/(20/6) and 89/45?
90
Suppose -w + 1972 = -5*m, 3*m + 134 = -2*w + 4078. What is the least common multiple of w and 32?
15776
Calculate the common denominator of 12 + -35 - -24 - (-24)/7 and 67/399.
399
Let c be (-29 - -26) + -1 + 2. Calculate the common denominator of ((-3570)/180)/((-4)/(-2) - c) and -93/8.
24
Suppose 21*l - 47*l = -12*l - 5334. What is the least common multiple of 11 and l?
4191
Suppose -11*w - 42 = -14*w. Suppose -9 + w = z. Calculate the lowest common multiple of 103 and z.
515
Let y be ((-160)/28)/((-4)/14). Let u = y - 74. Let a = u - -63. What is the lowest common multiple of a and 11?
99
Suppose 0 = -23*d + 21*d - 420. Let n = -140 - d. What is the smallest common multiple of n and 50?
350
Let b = 34281 + -34263. What is the smallest common multiple of b and ((-8)/(-6))/(2/3)?
18
Let q(b) = -3*b - 37. Let t be q(-15). Let h be 24/5*(19 + 1). Calculate the common denominator of (t + -10)*31/h*-2 and 14/5.
120
Let q = 1308 - 1299. Suppose -44 = -5*n + n. Calculate the least common multiple of n and q.
99
Suppose -15*k - 12*k = -4*k - 23. Calculate the lowest common multiple of k and 295.
295
Suppose -14 = 3*d + 1. Let s = -3 - d. Suppose -5*g + s*j + 112 = 0, 2*g = -0*g + 2*j + 46. Calculate the least common multiple of 16 and g.
176
Let h(g) be the second derivative of g**3/3 + 73*g**2 + 110*g. Calculate the lowest common multiple of 9 and h(-25).
288
Suppose -3*l - 6 = -21. Let r be -2 + 7 - 8/(1*-2). Calculate the least common multiple of (5 - 4)*(-2 + r/3) and l.
5
Let a(p) = 4*p**2 - 305*p - 117. Calculate the lowest common multiple of 171 and a(77).
342
Let c be ((-30)/12)/(-5)*(-21387)/9. Let p = c + 1195. What is the common denominator of p and -79/20?
60
Suppose 7*v - 3*v - 120 = 0. Let u(o) = 539*o + 544. What is the least common multiple of v and u(-1)?
30
Let v = 245 - 300. Find the common denominator of (-356)/90 + 33/v and 708/(-99) - 2/11.
9
Suppose 2*c = c - 28. Let p = -7 - c. Let s(n) = 3*n**2 + 70*n - 196. What is the least common multiple of s(-26) and p?
84
Let r = 81859/16 - 5121. Calculate the common denominator of r and ((-1012)/(-10626))/(100/721).
1200
Let o be (-6)/(-4)*(-2)/(-3). Let t(k) = 50*k**2 - k. What is the common denominator of 2*(-5)/8 + (-9)/(-18) and t(o)?
4
Suppose 6*c - 2 - 28 = 0. Suppose c*i = 31 + 64. What is the smallest common multiple of 5 and i?
95
Suppose -130 = -6*y - 4*y. What is the common denominator of (y/(-312))/((-6)/376) and (-136)/(-504) - (-4)/14?
18
Let p = 858191/250 + -13731/4. Calculate the common denominator of 79/80 and p.
2000
Suppose -f + 23 = 9. Let r = -12 + 165. Suppose -139 - r = -2*l. Calculate the lowest common multiple of l and f.
1022
Let g = 1717/400 + -37/25. Find the common denominator of 61/162 and g.
1296
Let a = 873661693/1320 + -661865. Calculate the common denominator of -29/1452 and a.
14520
Suppose -5*l + 36 = 66, 3*i - 6*l = 144. Let c = 66 + -35. Let g = c + -11. Calculate the smallest common multiple of i and g.
180
Suppose 0 = 3*v + 5*u - 2*u + 21, -4*u - 26 = 3*v. Find the common denominator of ((-167)/(-18) - 4)*(18 - 15) and v/16*(2 - 17).
24
Let f = -8593 + 8723. Calculate the least common multiple of f and 585.
1170
Let w = -33 - -206. Suppose -4*k + 389 - w = 0. What is the lowest common multiple of k and 48?
432
Let m = 101/220 - -17/220. Find the common denominator of 10/(-40)*(13 + -3) - (-159)/(-24) and m.
440
Let u = -12163/2 - -58735077/9658. Calculate the common denominator of 31/99 and u.
43461
Let u(f) = -19*f + 37. What is the least common multiple of u(-13) and 34?
4828
Let j(w) = -w**3 + 16*w**2 - 15*w + 5. Let k be j(15). Let c = -200 - -1760/9. Find the common denominator of (k/348 - 1) + 1/4 and c.
261
Suppose 5*x = -2*g + 17, -3*x - g = 2*x - 21. Suppose 4*m + 8 - 46 = -n, -x*n = 3*m - 20. What is the least common multiple of 20 and m?
20
What is the common denominator of -1 + 298/30 - (-42)/(-204)*34 and -149/2880?
2880
Suppose 0 = k - 4*p - 19, -4*k + 3*p + 14 = -3*k. Find the common denominator of (k/((-9)/10))/((-420)/(-3465)) and -28/11.
66
Find the common denominator of 73/140 and 2/(-5)*-2 - (-57592)/7360.
280
Let q be ((-17)/(-136))/(-1 + 6044). Let d = q - -2489699/821848. What is the common denominator of -1/8 and d?
136
Suppose -646*s + 252 = -625*s. Calculate the least common multiple of s and 354/9 + (-2)/(-3).
120
Let z = 791 - 351. Calculate the least common multiple of 800 and z.
8800
Let o(w) = -2*w - 47. Let u be o(-23). Let b be 2 - 25/((-12)/20 + u). Let n = b - 1203/56. What is the common denominator of 61/3 and n?
21
Let y(o) = 34*o + 3*o**2 - 35 - 10*o**2 - 21*o + o**3 + 14. What is the smallest common multiple of y(6) and 18?
126
Suppose 0*h - 3*h - 5*j = 0, -h = j. Suppose 0 = 8*s - h*s + 135432. Let a = -406363/24 - s. Calculate the common denominator of a and -26/33.
264
Let y = -841/19 + 45291/1064. What is the common denominator of 125/308 and y?
616
Suppose -506 = 2*c + 3*a - 1085, 6*a = 54. Let m = 15 + -9. What is the least common multiple of c and m?
276
Let w = -4245 - -4819. What is the least common multiple of w and 28?
1148
Let v(c) = c**3 - 25*c**2 + 153*c - 112. Let k(z) = -3*z**3 + 2*z - 4. Calculate the lowest common multiple of v(8) and k(-4).
360
Suppose 3*q = -5*z - 16, -3*q + 5*z + 8 = -2*q. Let o be q/(1 + 76/(-72)). Suppose 16 = -2*d + o. Calculate the least common multiple of 11 and d.
110
Calculate the common denominator of (540/66960)/((-415)/(-218) - 2) and 101/42.
1302
Let q = -9940203 - -7407856764125/745242. Let y = -22729361/387525840 + q. Calculate the common denominator of 11/14 and y.
7280
Let t(j) = 12*j + 206. Let l be t(-19). Suppose 104 + 58 = 3*c. Calculate the least common multiple of c and 5 - l - (0 - 10/(-2)).
594
Suppose -167 + 5 = -49*f + 40*f. Calculate the lowest common multiple of f and 308.
2772
Let f = -617824/897 - -2066/3. Let z = f - -37735/3588. Let y = 5897/3 + -129953/66. Calculate the common denominator of z and y.
132
Let t be (-5 - 1)*2/6. Calculate the smallest common multiple of (-4302)/(-27) + (-8)/(-3) + t and 128.
640
Suppose -g + 0*g = -2, 0 = j + g - 21. Suppose z - 21 = -j. Calculate the least common multiple of z and 5.
10
Let n(x) = 2*x**3 + 37*x**2 + 39*x - 103. Let i(y) = y**3 + 19*y**2 + 19*y - 52. Let u(f) = 7*i(f) - 3*n(f). What is the common denominator of 49/85 and u(-21)?
85
Calculate the common denominator of 11/((-50)/625*-30) and -67/4076.
12228
Let w = -82322393/765 + 107611. Calculate the common denominator of w and 89/255.
765
Let n = 467 - 419. Suppose k - 2 - 12 = 0. What is the least common multiple of k and n?
336
Let m(u) = u**2 - 8*u - 1. Let s(n) = 104*n + 678. What is the smallest common multiple of m(9) and s(-6)?
216
Suppose 5*h + 4*x = 69 - 37, 5*h = -5*x + 35. What is the smallest common multiple of 1214 and h?
2428
Let n be 6*-1*(-5 + 6). Find the common denominator of (-185)/(-10)*n/10 and 166*((-44)/(-128))/(-11).
80
Let i be 6*((-35)/14)/(-5). Suppose 2*w - 76 = -4*p, -i*p + 4*w + w + 70 = 0. Calculate the least common multiple of 8 and p.
40
Let c = -30587/8 - -3833. What is the common denominator of (9 + -6 - 68/24)/((-1)/(-122)) and c?
24
Let p = 440210/980283 - -3/14207. What is the common denominator of 49/989 and p?
2967
Let q(n) = 2422*n - 75062. Calculate the smallest common multiple of ((-10)/(-2))/((-1)/(-8)) and q(31).
40
Let j be 33/10*326/(-456). Let f = 3/190 - j. Find the common denominator of f and 51/344.
344
Suppose 4*b = -2*c + 120, -4*c + 23 + 217 = 5*b. Suppose -56*o + c*o - 176 = 0. What is the smallest common multiple of o and 4?
44
Calculate the common denominator of 151/144 and (-151090)/(-89320) + 6/22.
1008
Find the common denominator of 173/336 and ((-3)/(-90)*98)/((-15)/25*2).
1008
Let m = -48 + 153. What is the smallest common multiple of ((-120)/(-14))/(5/m*6) and 33?
330
Let x be ((-1028)/128)/((-2)/(-311)). Let b = x - -1249. Find the common denominator of b and ((-70)/2100)/(2/(-325)).
192
Let k be 33/44 + 10/8. Let m be (3 + (-3 - 2))*(-11)/k. Suppose -m*v + 18 = -10*v. Calculate the lowest common multiple of 6 and v.
18
Suppose -1478586 + 224242 = 28*k. Let b = k + 2517642