8089. Calculate the common denominator of x and -61/4.
16
Let b = -8244 + 601848/73. Let x = b + -5833/11680. Find the common denominator of 5/64 and x.
320
Suppose 3*n = 2*r - 153, 2*r - 96 = -3*n + 39. Suppose -r = 4*s + 2*i, 3*i - 52 - 20 = 4*s. Calculate the common denominator of s and -73/4.
4
Let a = 1218 + 282. Calculate the smallest common multiple of a and 105.
10500
Let j(x) = x + 13. Let g = -5 - 4. Let d be j(g). Calculate the smallest common multiple of (-14)/((d/(-4))/2) and 12.
84
Let l = 209067 + -238336321/1140. What is the common denominator of l and -83/2280?
2280
Suppose -3*v + 102 = -3*c, 5*v = 7*v + 4*c - 80. Suppose 0 = -5*u + 2*f + 486, -7*u - 4*f + 657 = f. Calculate the lowest common multiple of u and v.
288
Let t be (-1)/84*3*(-1122226)/(-36). Let h be (914*-1)/(36/44). Let z = h - t. What is the common denominator of z and -62/9?
72
Let t = -4109 - -5154. Calculate the smallest common multiple of t and 5.
1045
Suppose -5*y + 3 = -3*w - 30, 0 = -5*w + 20. Suppose y*o = 2*o + 126. Calculate the lowest common multiple of 6 and o.
18
Let v = -8801 - -87903/10. What is the common denominator of v and 1/(-9) - (-5)/(-360) - 230/528?
330
Suppose 4*d - 1255 = -5*s, 6*s - 9*s + 4*d = -721. Let c = s + -1979/8. Let b = 9892 - 138389/14. Find the common denominator of b and c.
56
Let n = 2278895/112 + -20347. What is the common denominator of 93/1120 and n?
1120
Let v = -1728469/498988 - 6/17821. Let z(j) = -10*j + 38. Let b be z(4). What is the common denominator of v and (-12)/(-7) + b - 3132/504?
28
Let x = 29381/10 + -2944. Suppose 168 = -4*a + 28. Find the common denominator of a and x.
10
Suppose -5*p + 45 = 5*b, -2*b + 17 = -p + 14. Suppose 2*t + 352 = b*m, 454 = -3*m + 8*m + t. Calculate the lowest common multiple of m and 18.
90
Let f(x) be the second derivative of -8*x - 5/2*x**3 + 0 + 1/3*x**4 - x**2. What is the lowest common multiple of 5 and f(6)?
260
Let w = -18 + 22. Suppose 2*i - w = -10, -4*i = 3*c - 618. Calculate the common denominator of 675/c - (2 + (-1 - 0)) and 11/7.
14
Suppose r + 3*d = 133 - 7, -r = -3*d - 126. Calculate the common denominator of 139/18 and 7/r*(-278)/2.
18
Suppose 33*s = 27*s + 36. Suppose s = -2*f, 7*c = 2*c + f + 93. What is the lowest common multiple of 129 and c?
774
Let b = 2/3039 - 355583/30390. Calculate the common denominator of 89/2540 and b.
2540
Calculate the common denominator of -121/410 and (-4)/160*6*2016/(-39852).
3690
Let t = 2906/45 + -65. Calculate the common denominator of 55/9 and t.
45
Suppose 30*s - 33*s = -78. Let t be (-13)/s*(-56)/1. Let a = -26 + t. Calculate the smallest common multiple of 11 and a.
22
Suppose 2*n - 4*m - 42201 + 757 = 0, 82848 = 4*n + 2*m. Let l = 372713/18 - n. Find the common denominator of l and 263912/102168 + 2/43.
54
Suppose l = -j - 17, l - 2*j + 32 = -0*j. Find the common denominator of 59/15 and (1/3*(-4917)/l)/(-3).
30
Suppose 2*z = o - 406, 107*o - 3*z = 105*o + 810. Calculate the smallest common multiple of 134 and o.
402
Suppose -39 = 4*l + 2*j + 13, 0 = 4*j - 16. Calculate the common denominator of 237/90 - (2 + -4) and (-15)/(-12)*(-274)/l.
30
Let y = -309 + 138. Suppose -4122 + 404 = 26*m. Let j = m - y. What is the smallest common multiple of j and 44?
308
Calculate the common denominator of (-9)/(-6) + (-117947)/79790 and -59/202.
1010
Let j = -734481/2 - -172235846/469. Calculate the common denominator of j and 43/21.
2814
Let t(j) = 3*j**2 + 47*j. Let c be t(-14). What is the smallest common multiple of 2*26*1/4 and ((-28)/c)/((-3)/45*-2)?
39
Suppose 5*m = 3*i + 991, 4*m = 8*i - 6*i + 660. Let z = 412 + i. Calculate the least common multiple of z and 8.
80
Let f(u) be the first derivative of 4*u**3/3 + 5*u**2/2 - 2*u + 37. What is the smallest common multiple of f(2) and 30?
120
What is the common denominator of -1*(1353/12056)/((-3)/(-4)) and -7/18?
2466
Let x(k) = 16*k + 13. Let t(m) = -m + 1. Let v be t(15). What is the common denominator of (-1002)/420 - 4/v and x(2)?
10
Find the common denominator of (-3451)/(-6160) - (4 - -1 - (-155)/(-35)) and -61/15.
18480
Let y = -67/3 + 35/6. Calculate the common denominator of y and (-297)/(-4)*(228/(-1425))/(6/5).
10
Suppose 2*t = 1 + 25. Suppose d + g - 2*g - t = 0, 5*d = 4*g + 70. Suppose d = 2*q - 2. Calculate the lowest common multiple of q and 2.
10
Let a = 3539917227279138033/741200 - 4775927181973. Let v = a - -2/46325. What is the common denominator of 13/4 and v?
80
Let z = 2925 - 5968. Let u = -258702/85 - z. Find the common denominator of u and 37/65.
1105
Suppose -5*x = 4*y - 35, 5*y + 0*x - 4*x - 54 = 0. Let h(g) = g**3 - 11*g**2 + 18*g - 17. Calculate the least common multiple of h(y) and 4.
252
Let n = -293 - -172. Let p = n + 169. Suppose 2*x + 11*y - 22 = 12*y, y = x - 14. Calculate the smallest common multiple of p and x.
48
Suppose 159 = 8*y - 1 - 448. Suppose -4*b + 0*d = -2*d - 110, -4*d + 60 = 2*b. Calculate the smallest common multiple of y and b.
532
Suppose -8 = w - 7*k + 5*k, -4*w + 3*k - 7 = 0. Calculate the common denominator of 1/4 and w/(-35)*((-4959)/144 + 1).
56
Calculate the lowest common multiple of 1382 and 7/(12/(-3) + 3) - (-46)/2.
11056
Let r = 18521/6 - 3075. Let l(h) = -974*h**2 + 6*h - 14. Let o be l(-7). Let p = -2006695/42 - o. What is the common denominator of r and p?
42
Let l(r) = r**3 + 6*r**2 - 5*r - 7. Let n be l(-3). Let t = n + -13. What is the smallest common multiple of t and 8?
88
Let w = -10801/4140 + 57/230. Calculate the common denominator of -61/6 and w.
36
Suppose -5*k = -4*o - 119, -4 - 1 = 5*o. Let j = 53 - k. Suppose -16281134*g = -16281207*g + 2044. Calculate the lowest common multiple of j and g.
420
What is the least common multiple of 165 and 2472 - (-23)/46*36?
27390
Calculate the common denominator of 13/8 and ((-3509)/352 - -10)/(11/(-5)).
352
Suppose 0 = 5*w - 3*b - 1011, -2*b - 167 - 235 = -2*w. Suppose -h + 2*h = -3*j + 632, 3*h + w = j. Calculate the smallest common multiple of j and 15.
210
Let m = -708 + 2506. Calculate the smallest common multiple of m and 2.
1798
Let t = -2527 + 1778. Let p = -729 - t. What is the smallest common multiple of p and 5?
20
Let w(f) = 4*f**3 - 584*f**2 - 584*f - 198. What is the smallest common multiple of 3120 and w(147)?
3120
Suppose -2*u + 427 = 5*j - 0*j, -2*u + 2*j = -434. Suppose 9*n + 15*n - u = 0. What is the smallest common multiple of n and 55?
495
Let w = 39 + -27. Let l be (-5)/(-10)*w - 3. Calculate the common denominator of ((-9)/22)/l*(-3531)/(-198) and 29/24.
264
Let s = -290 + 294. Suppose -355 = -s*t + 45. What is the lowest common multiple of 24 and t?
600
Let c be (162/7)/((-20)/67). Let u = 507/7 + c. Let a = 14/1587 + 144277/15870. Calculate the common denominator of u and a.
10
Let i = -157537/36220 - 1/1811. Suppose 4*u = 2*f + 2*u + 12, 0 = -5*f - 4*u - 66. Calculate the common denominator of i and (-73)/f*(-4)/(-16).
40
Calculate the common denominator of 17/2 and (-237000)/532224 + (96/(-28))/(-8).
3168
Let k(r) = 2*r**2 - 6*r - 33. Let p be k(6). Suppose -11 - 121 = -p*o. Calculate the smallest common multiple of 20 and o.
220
Let h(q) = -1121*q - 9751. Calculate the lowest common multiple of h(-9) and 2288.
29744
What is the common denominator of 39438/(-12880) + 20/4 - 2 and -71/70?
6440
Let k = 7/248 + -639/124. Find the common denominator of k and 75/316.
632
Let h(l) = 6*l**3 + l**2 - 3*l - 12. Let f be 6/14 + (-78)/(-14). Let g be h(f). Let i = g + -28639/22. Find the common denominator of 21/10 and i.
110
Let m(g) = 2*g**2 + 21*g + 11 - 3 - 4 + 7. What is the smallest common multiple of 1 and m(-11)?
22
Let u = 473283/32 + -14793. Find the common denominator of u and 113/740.
5920
Let p = 15869/483650 + -18/569. Let x = p + -4421/850. Calculate the common denominator of 63/110 and x.
110
Let t(n) = -19*n**2 + 9*n + 60. Let z be t(6). What is the least common multiple of (-6 + 1)/(11/(z + -2)) and 22?
2860
Calculate the common denominator of -139/42 and (9204/520)/((-7)/((-105)/54)).
84
Let t(v) = 21*v + 5*v - 20 - 88 - 13*v. Calculate the lowest common multiple of 45 and t(11).
315
Suppose -1720 = -34*t + 44*t. Let f = 186 + t. Calculate the smallest common multiple of 2 and f.
14
Suppose -278 = 4*m + 5*d - 2064, -3*d = -4*m + 17