 - 17. Let j be q(-12). What is the common denominator of (10/(-7))/((-1692)/j) and -47/10?
90
Let u be -51*(1/(-3) + 8/(-24)). Suppose 98 = 4*b + 5*t - 4*t, 0 = -b - 5*t + u. What is the smallest common multiple of 2 and b?
24
What is the common denominator of 273/8*50/(-7425) and 101/198?
396
Suppose -2*p = 3*n - 0*p, 5*p = 3*n - 5*n - 33. Let m = -3 - -1. Let z = 5 + m. Calculate the smallest common multiple of z and n.
6
What is the common denominator of 1240/(-4464)*(-399)/(-10) and 29/3284?
9852
Let g(l) = 27*l**2 + 6*l + 3. Let z be g(-8). Calculate the common denominator of ((-9)/((-27)/2))/((-78)/369) and (-1)/(-4) - z/44.
13
Let b(a) = -2*a**2 + 2*a - 5. Let n be b(-4). Let t be 15/n - 622/(-1848). Let y = -347/154 + t. Calculate the common denominator of 2/3 and y.
12
Suppose 4 = -3*n - 2. Let z = -62 - -84. What is the common denominator of 37/18 and (-13)/n*(-33)/z?
36
What is the common denominator of (106/86)/(27 + -34) and -29/63?
2709
Let h(z) = z**3 + 3*z**2 - 7*z - 3. Let n = -1 + 31. Calculate the lowest common multiple of h(-2) and n.
30
Let n = -79006679 + 24097061931/305. Let a = -14/61 + n. Let g = a + -4276/55. What is the common denominator of -43/35 and g?
385
Let u(f) = 2*f**2 + 12*f - 109. Let b be u(-10). Let w = -27 - b. Calculate the least common multiple of w and 212.
212
Let o = 82017 - 81997. What is the smallest common multiple of o and (-3 + -5)*5/(-2)?
20
Let n = 12 - -3. Suppose -3*g + 36 = 9*g. Suppose 1 = -g*h + 64. What is the smallest common multiple of h and n?
105
What is the common denominator of (7802/67680 + (-2)/18)*-161 and 46/255?
4080
Suppose 5*u - 2*u = -q + 822, 5*u - 20 = 0. Suppose 0 = -17*z + 26*z - q. Calculate the least common multiple of 6 and z.
90
Let b = 192 + -121. Let c = b + -47. Let h = -22 + c. Calculate the least common multiple of 16 and h.
16
Suppose 0 = g + g. Suppose 4*s + 4*l - 44 = g, 4*s - 23 = -3*l + 18. Let h(q) = 253*q + 2030. What is the lowest common multiple of h(-8) and s?
24
Suppose 76 = -9*p + 1264. Suppose 12*b = -p - 204. What is the smallest common multiple of 2 and 106/14 + (-12)/b?
8
Let o = 1023/14 - 256/7. What is the common denominator of o and -73/904?
904
Suppose 685*c - 9960 = 645*c. What is the lowest common multiple of 33 and c?
2739
Let t(u) = 9*u**3 - u**2 + u - 1. Let z(v) be the third derivative of -v**4/24 + 7*v**3/2 - v**2 + 21*v. Calculate the least common multiple of z(-13) and t(1).
136
Suppose 4*g = -m + 116 + 255, 4*g - 369 = -3*m. Let p(u) = -8*u + 482. Let w be p(52). Let t = g - w. What is the smallest common multiple of 30 and t?
270
Calculate the common denominator of (806/(-130))/((-1094)/10 + 2) and 121/60.
10740
Let f = -3453 - -5289. What is the least common multiple of f and 24?
3672
Let c(i) = -19*i**3 + 3*i**2 - i - 1. Suppose 0 = 5*p - 4*p - 1. Let r be c(p). What is the smallest common multiple of (47/9 - 5) + (-158)/r and 15?
45
Suppose 3*b = -4*g + 622, 4 - 9 = g. Calculate the lowest common multiple of b and 58.
6206
Suppose 16*z = 163 + 317. Suppose z*j = 22*j + 24. What is the smallest common multiple of j and 138?
138
Let l = -35795/18 - -1986. Let j(f) = 2*f**3 - 26*f**2 + 24*f + 30. Let d be j(12). Calculate the common denominator of d/140*4/(-32)*-21 and l.
144
Let v = 2640 - 2638. Let n be 30 - (2 + (-1 - -1)). Suppose 2*j - 17 = -5*l, 5*j + 2*l - n = 4*l. Calculate the smallest common multiple of v and j.
6
Let c = -16865/187872 - -27/13699. Find the common denominator of 119/480 and c.
3360
Let d = -719/70 - -76/5. Calculate the common denominator of 99160/(-71760) - (489/(-69) - -7) and d.
546
Let k be (-1)/2*(-8)/2. Suppose 8*p - k*p + 36 = 0. Calculate the common denominator of -3/2 and (-1729)/714 + p/9.
34
Let x(q) be the second derivative of 13*q**5/20 - 3*q**4/4 + q**3/2 + q**2 + 128*q. Calculate the smallest common multiple of x(2) and 28.
532
What is the common denominator of 4/(-186)*3 - 30/((-4464000)/(-11945)) and 19/48?
960
Suppose -11*o + 12*o = 2. Let i be (-4)/(-26) + 6352/(-52). Let m = -117 - i. What is the smallest common multiple of m and o?
10
Let j be (-25976)/(-136)*(-26)/876. Let f be (-327)/657 - (-2)/6. Let r = j + f. Calculate the common denominator of -69/4 and r.
12
Calculate the common denominator of ((8323/(-70))/(-41))/(-3) and -71/6180.
6180
Let l = -711607/70 - -10166. Let f = 2247 - 78614/35. Calculate the common denominator of l and f.
70
Let o be -3*(1/3 + 6). Let a(v) = -v**3 - 20*v**2 - 24*v - 2. What is the least common multiple of 33 and a(o)?
1023
Suppose -16*t + 1848 = -23*t. Let o be (10/(-15))/2*t. Suppose -9*l = -7*l - o. Calculate the lowest common multiple of l and 18.
396
What is the common denominator of (-3)/(1539/(-12))*16/(-9) and -73/216?
12312
What is the common denominator of (((-24)/56)/((-10)/(-119)))/((-40320)/(-4000)) and 73/24?
168
Let g = 12830 + -76937/6. Let t = 38 - 59. Calculate the common denominator of g and 55/t + 4/6.
42
Let r = 1082777/30 - 36089. Let c = -17 - -67/4. What is the common denominator of c and r?
60
Let x = 80248 + -3852053/48. What is the common denominator of x and -47/42?
336
Calculate the common denominator of 87/108*-10 + 3 and 13 - 18 - 537/(-36).
36
Suppose -5*o + 70 = j + 18, 5*o = 2*j + 61. Calculate the common denominator of -49*((-26)/(-72) + o/(-44)) and 89/6.
18
Suppose -25*k = 2*k - 675. Suppose -k*x + 252 = -7*x. Calculate the smallest common multiple of x and 16.
112
Suppose 827*q = 821*q + 1500. What is the smallest common multiple of q and 50?
250
Suppose j - 5*j + 27 = 5*r, 5*j - 12 = r. Suppose 20*p + 2*q + 15 = 21*p, -r*q + 16 = 2*p. Calculate the lowest common multiple of p and 228.
2508
Let k = -27396 + 27422. What is the smallest common multiple of 78 and k?
78
Suppose 5*w - 37*w + 288 = 0. Find the common denominator of -17/70 and 2/w + 4532/(-630) - -6.
70
Calculate the common denominator of ((-3926)/(-91))/(6 + 396/42) and 107/3744.
11232
Suppose 50477 = -4*t + 5*l + 14318, 5*t = -5*l - 45255. Let g = -217169/24 - t. Find the common denominator of 4/45*(-1400)/35 + -4 and g.
72
Suppose 3*a - 3*b = 426, -6*b - 558 = -4*a - 7*b. What is the lowest common multiple of 420 and a?
420
Let g(i) = -8*i - 2. Suppose 84*z + b - 15 = 82*z, -4*z + 5*b = -9. Calculate the smallest common multiple of z and g(-4).
30
Calculate the smallest common multiple of 38 and (-4 - 766*5/40)*80/(-30).
266
Calculate the common denominator of -43/117 and (4*(-86)/1152)/1.
1872
Let j be ((-9864)/(-10148) - 1)/(32/(-13292)). Let g = j - -1/2537. Calculate the common denominator of g and ((-4)/6)/((-32)/(-270)).
8
Let m = -111765989/603 + 185350. What is the common denominator of m and -5/36?
2412
Suppose 78*k - 258*k = -117720. Calculate the least common multiple of 7 and k.
4578
Let c = -15659 - -187771/12. Calculate the common denominator of (-109)/60 - (-12)/(-20) and c.
12
Suppose -31*j + 166*j - 526 = 11624. Let t(c) = -5*c + 5. Calculate the smallest common multiple of j and t(-8).
90
Suppose i - 14 = 1. Let v be (40/12)/(5/i). Calculate the least common multiple of 10 and ((-24)/10)/(v/(-25)).
30
Let z be (14/(-4) - -3)/((-3)/516). Find the common denominator of z/(-56) - 6/(-36) and -22.
84
Let a(m) = -m**3 + 23*m**2 + 27*m - 33. Let b be a(24). Suppose -17*t = -b*t + 220. What is the smallest common multiple of 2 and t?
10
Find the common denominator of -1/5192 and -10 + (18827/(-1888))/(-1).
20768
Let y = -49/3 - -116/3. Let r be (144366/18)/((-22)/6). Let p = -2191 - r. What is the common denominator of y and p?
33
Let j = -116 + 282. Let z = 256 - j. Let d = z - 78. What is the smallest common multiple of d and 12?
12
Let y = 5122 - 5003. What is the least common multiple of 259 and y?
4403
Let y = -221682 + 1551796/7. What is the common denominator of y and 1 + (-98)/54*-1?
189
Let l = -9711 - -271945/28. Calculate the common denominator of -101/4 and l.
28
Let z = -9277 + 9777. What is the lowest common multiple of 1700 and z?
8500
Suppose 16 = i + 4*x, -2*i + 32 = -6*x + x. Calculate the lowest common multiple of i - (-2)/(-2)*-4 and 68.
340
Let j(x) = 366 - 2*x - 22*x + 7*x + 18*x + 3*x. What is the least common multiple of 3 and j(0)?
366
Suppose -63 = -15*r + 1557. Calculate the common denominator of (-16)/(