0
What is the common denominator of 13/32 and 15/20 - (-19)/((-206416)/8211)?
3104
Let c(v) = -2*v**2 + v + 7. Suppose 7*j + 0*j = -0*j. Let f(n) = n**3 + 6*n**2 + 3*n. What is the smallest common multiple of f(-5) and c(j)?
70
Suppose -110574 = -107*l - 13632. Calculate the least common multiple of 1208 and l.
3624
Let f = 4838 - 2729. What is the smallest common multiple of 69 and f?
48507
Suppose -4*u - y + 17 = 0, -u + 0 - 7 = -2*y. Suppose -u*d = -90 + 27. Let k = 3527 + -3521. What is the least common multiple of k and d?
42
Let z = -7937/3 - -2621. Let d = -27861/7 - -95854/21. Let f = 577 - d. Calculate the common denominator of z and f.
3
Let o be (1 - 213/8)*55/75. Let n = o + -65/24. Calculate the common denominator of 13/4 and n.
4
What is the common denominator of (3 - (-52)/(-48)*3)*(-35708)/(-287133) and 101/36?
30492
Let o be -8*(15/(-6) + 2). Suppose 4*c - 5 = 3*k + 7, -c = -o*k - 3. Calculate the least common multiple of 2 and (4/(-6)*-11)/(2/c).
22
Let p be (-1609)/(-5) + (-1)/(35/(-7)). Suppose -32*g + 318 = -p. What is the lowest common multiple of g and 182?
1820
Let q = -98251/2660210 + -10/5429. Find the common denominator of -65/196 and q.
980
Suppose -w - 60 = -64. Suppose -4*r = -3*r + 4*i + 10, -w*r - 5*i = -15. Calculate the lowest common multiple of r and 14.
70
Let i = -6 + 8. Let d = 83 - 78. Suppose 0 = -d*t - o + 24, t + 2*o - 21 = -9. What is the lowest common multiple of i and t?
4
Suppose 27*l - 1016 = -13517. Let s = -437 - l. What is the least common multiple of 8 and s?
104
Suppose 82 - 512 = -135*d - 160. What is the lowest common multiple of d and 21485?
42970
Let q = 154243/5 - 31485. Let s = -34956/55 - q. Calculate the common denominator of -107/40 and s.
440
Suppose 36*y = 16*y - 100. Calculate the lowest common multiple of 10 and (110 + y + 3 + 5)/1.
1130
Calculate the common denominator of (183/366)/(1738/(-228)) and -79/8.
6952
Suppose -3*v + 2*b - 2 = 0, v + 5*b = 17 + 5. What is the common denominator of -20/13 and 3 - v - (-1 - 166/8)?
52
Suppose -3*g - 3*c + 3987 = 0, 18*g - 19*g - 4*c + 1329 = 0. Let b = g + -6696/5. Find the common denominator of b and -32/67.
335
Let n(c) = -c**3 + 7*c**2 - 4*c + 16. Let t be n(5). Suppose -p = -5, 8*r + 2*p + t = 10*r. Calculate the smallest common multiple of 3 and r.
84
What is the common denominator of -139/240 and (3286/912)/1 - (-5)/(-760)*-16?
240
Suppose 5*c - 2396 = -6*n + 1483, -4*c + 12 = 0. What is the smallest common multiple of 266 and n?
12236
Let z be ((-15)/(-58430))/(327/(-84) + 4). Let b = z - 637223/140232. Calculate the common denominator of -19/18 and b.
72
Calculate the smallest common multiple of 12/((-36)/(-31)) + 5 + (-10)/3 and 3/9 + (-11)/(-3).
12
Suppose -726 - 165 = -5*n + 709. What is the least common multiple of 768 and n?
3840
Let i = 16 + -10. Calculate the common denominator of (1645/30 + (-8)/i)/20 and -69/20.
40
Let u = -11 + 21. Let w = -1505 - -1534. Calculate the least common multiple of w and u.
290
Let o(r) = -r**2 - 90*r - 317. What is the lowest common multiple of o(-86) and 417?
3753
Let i = -237 - -222. Let z = i - -39. What is the least common multiple of z and 44?
264
Let y(b) = -6*b**2 - 92*b - 52. What is the smallest common multiple of 8 and y(-13)?
520
Let q = -2686 + 3988. Let u = -7877/6 + q. What is the common denominator of 0/(-4) + ((-38)/(-24) - 4) and u?
12
Suppose 2537 - 5654 = -21*k + 4317. What is the smallest common multiple of 40 and k?
7080
Suppose 63*w + 6360 = 194730. What is the smallest common multiple of w and 2070?
26910
Suppose 0 = -19*w + 26 + 31. Suppose w*v - 8 = 4. Suppose v*a - 208 = -4*i, -i + 2*i - a = 60. What is the least common multiple of i and 2?
56
What is the common denominator of 47 and (-43014)/(-61632) + (1/4)/((-3)/6)?
96
Let j be ((-2)/4 + 1/2)/2. Let d = -335/259 - 5/37. Calculate the common denominator of d and 0 + (140/52 + -2 - j).
91
Let y(g) = -14*g + 5*g**2 + 6*g**2 - 18*g**2 - 2 + g**3. Let o be y(12). Calculate the common denominator of o/56 - (-9)/21 and 59/5.
20
What is the smallest common multiple of (2 - 10) + (-117 - -765) and 22?
7040
Suppose 11*h = 39*h - 336. What is the smallest common multiple of h and 270?
540
Let c be (-495)/(-10)*(-2)/6*-2. Let d = 25 - c. Find the common denominator of 1/d*((-7152)/162)/(-2) and 19/20.
540
Calculate the common denominator of ((-26)/(-12))/(7359/(-26983)) and ((-1)/(-3)*29)/(-8).
72
What is the common denominator of ((-525)/(-72))/(-7) - 2 and (-118)/(-8) + (-6)/(17 + -5)?
24
Let x = 10/1603 - -49513/28854. Find the common denominator of 107/606 and x.
1818
Let p = 206/1353 + 2083/10824. Calculate the common denominator of 31/18 and p.
792
Let x(d) = -6*d + 3*d + 5 + 0*d + 1 - 8*d**2 + d**3. Let o be x(7). Calculate the common denominator of ((-3)/(-15))/(o/3160) and -125/36.
72
Let j = -24 - -46. Suppose 86*z = -33*z + 27*z + 1840. What is the lowest common multiple of j and z?
220
Suppose -4*p + 5 = 33. Let k be 68*(-1 - 0)*p. Let i = 3739/8 - k. Calculate the common denominator of i and -39/8.
8
Let d = -9307/4 - -195353/84. What is the common denominator of d and 17/36?
252
Let t be (2665/(-30))/(-13)*3*29/104. Let x = 3/4820 + -260319/62660. Let d = x + t. Find the common denominator of d and 91/22.
176
Let u = -5055637/96570 + 3877/74. Find the common denominator of 31/1305 and u.
1305
Calculate the least common multiple of 198 and (-144)/(-6*3/18).
1584
Find the common denominator of 212/(-120) - -12 - 12 and 89/324.
1620
Let f be (6 - 256/40)*77*10. Find the common denominator of -4 + 92/22 - 1418/f and 3/14.
14
Find the common denominator of 276/1173 - (-24455)/(-59500) and 33/280.
1400
Suppose 58*n + n = 118. Let o(l) = -l**2 - l + 6. Let c = 6 + -6. What is the least common multiple of o(c) and n?
6
Let r = 97561/16 - 6094. What is the common denominator of r and (-728)/(-256)*(-11)/(-2156)*42?
64
Suppose 35 = -64*o + 59*o. Let y be (4 + -2)*(-27)/(-3). Calculate the common denominator of 35 and 141/y - o/7.
6
Let h = -5317 + 5357. Calculate the least common multiple of h and 128.
640
Suppose -975*s + 200 = -967*s. What is the smallest common multiple of 100 and s?
100
Let v = -139/1808 - 6/565. What is the common denominator of v and 145/1728?
8640
Let t = -529 - -452. Find the common denominator of 31/8 and ((-3)/246)/(t/22)*1.
2296
Let o = 75/2 - 262/7. Let d = 465 + -457. Find the common denominator of 34/(-153)*393/d and o.
84
Let t = 154 + -125. What is the common denominator of (t/15)/(88/50) and 95/44?
132
Let z be 5*(-2)/(-270)*307753. Let u = z + -11397. Calculate the common denominator of 2/(9/((-261)/(-2))) and u.
27
Suppose 206 = 105*o - 10189. Calculate the least common multiple of o and 234.
2574
Let x be 194/8 + -6 - (-3)/(-12). Suppose 4*f - 34 = -2*y, 3 = 5*y + x. What is the lowest common multiple of f and 17?
170
Let p = 57/41 + 377/820. Find the common denominator of p and 34/8*(-7 - 186/(-24)).
80
Suppose 2*r + 804 = 2*w - 704, 4*w = -r + 3046. Calculate the lowest common multiple of w and 190.
760
Let i = -104 + 105. What is the smallest common multiple of i and (231/(-22) + 8)*(54/(-3) - 2)?
50
Let g be -4 - (-3 - (6 + -3)). Suppose 0 = -g*j - 8*j + 340. Calculate the common denominator of (-4)/j + 26445/1530 and -27/11.
66
Let w(a) = 507*a + 9266. Calculate the lowest common multiple of w(-18) and 608.
21280
Let s = 14954/5 - 2992. Calculate the common denominator of s and 35/634.
3170
Let z be (-4)/10 - 143/55. Let c = 3925 + -3903. What is the smallest common multiple of c and 34/3*(0 - z)?
374
Let g(t) = -124*t - 64. Let n be g(-4). Suppose -19*i + 7*i = -n. What is the least common multiple of 30 and i?
180
Let x = -15849 - -348753/22. What is the common denominator of 49/18 and x?
198
Let u = -3/7189 - -509637/32580548. Calculate the common denominator of 67/12 and u.
13596
Suppose -17 = 9*w + 37. Let n be (2 + 3/2 - 4)*w. What is the least common multiple of 12 and n/((-6)/4) - -17?
60
Let q = 13 + 1. Suppose 4*c = -0 + 4. What is the smallest common multiple of 1*16/(-28)*q/(-2) and c?
4
Let q be (2/600)/(4/20264). Let o = q - -182/25. Calculate the common denominator of o and 466/520 - 10/(-65).
60
Let a be 3 - (-6 + (-21366)/(-4774)). Let o = a - -44/217. Calcul