5.
350
Let q be ((-16)/(-5752))/((-4)/(-10226)). Let n = q - 1/6471. Let k = 7933 - 79267/10. What is the common denominator of n and k?
90
Suppose -2*w + 43 = 10*u - 1, 24 = 4*u + 4*w. Let h be (-4)/(-1) + (1 - 3). Let i = -1 + h. What is the lowest common multiple of u and i?
4
Let g be 4/737*21/28. Let o = g + 34633/1474. Find the common denominator of 74/(-36)*(-113 + 114) and o.
18
Let w(t) = t**3 - 6*t**2 - 6*t - 7. Let g be w(7). Suppose -5*z - 15 = g, -6*j + 5*z = -j - 65. Find the common denominator of 2/j + (-2165)/(-50) and 35/44.
44
Let f = -4038/7 - -578. Find the common denominator of 11/21 and f.
21
Suppose 22 = 5*b - i, 32 - 51 = 3*b + 4*i. Calculate the lowest common multiple of 2*(-21)/(-2) + 0 and b.
21
Let a = -513 + 541. What is the least common multiple of a and 212?
1484
Let z(b) = 11*b + 104. What is the lowest common multiple of z(-9) and 8?
40
Let m(b) = b**3 + 6*b**2 - 13*b + 30. Let v(t) = t**3 - t + 21. What is the least common multiple of m(-8) and v(0)?
42
Suppose -o = -0*o - 3*p - 28, -3*p - 44 = -2*o. Let y = -4314 - -4332. What is the smallest common multiple of y and o?
144
Let c = 196381/18 + -10913. What is the common denominator of 43/12 and c?
36
Suppose -113 = -2*r - 1163. What is the lowest common multiple of (-1)/(-6) - r/90 and 10?
30
Suppose 0 = -23*p - 20*p + 2021. What is the common denominator of -4*(-3)/(36/46) and p?
3
Let v(t) = -3*t - 3. Let w be v(-2). Suppose -w*m + h + 6 + 1 = 0, -35 = -5*m - 3*h. Let f = 11770 + -11762. Calculate the smallest common multiple of f and m.
8
Calculate the common denominator of (-324)/16*1/5 and (251/(-45) - -1)/((-20)/15).
60
Calculate the common denominator of (-970)/(-8)*(-5)/((-250)/4) and 71/562.
2810
Calculate the common denominator of (2 - (-386)/(-195))*(-1275)/(-50) and 8.
65
Let x = 925/144 + 11/16. What is the common denominator of x and 13/7?
63
Suppose 8*y - 3*y - 4*z - 286 = 0, 0 = -y + 2*z + 56. What is the lowest common multiple of y and (-2)/((63/(-14))/9)?
116
Let c = -1287/7 - -4707/28. Calculate the common denominator of c and -161/702.
1404
Let b(w) = -6*w + 9. What is the lowest common multiple of b(-1) and 24?
120
Let i = 361/11 + -408/11. Let q be (-56)/6*12/(-8). What is the common denominator of i and (4/q)/(0 + -2)?
77
Let p(m) = -m**3 + m**2 + m - 1. Let i be p(-2). Let l = i + -4. Calculate the least common multiple of l and (8/(-6))/((-32)/144).
30
What is the smallest common multiple of 140 and (-4 - -22) + (-33 - -1)/8?
140
Let w = -3429/2 - -1674. What is the common denominator of w and 49/30?
30
Let h(s) = 32*s**3 + 4*s**2 - 5*s + 4. Calculate the smallest common multiple of 1 and h(2).
266
Let i = 151 - 135. What is the smallest common multiple of i and 70?
560
Suppose 0*s - 3 = 3*s. Find the common denominator of s/(20/(-69)) - -1 and -27/16.
80
Let n(o) = -2*o - 47. Let r be n(-22). Find the common denominator of (0 + -1)*62/(-44) + r and 87/10.
110
Let i be (-4)/(2*(-4)/12). Suppose 3*x = -5*q - 17, 2*q = 4*x + i*q + 12. Suppose 3 = z - x. What is the smallest common multiple of z and 6?
12
Suppose -4*u - 193 = -17. Let h = u - -62. Suppose h*m - 16*m = 8. What is the lowest common multiple of m and 11?
44
Calculate the lowest common multiple of 54 and (1 - 4)/((434/168)/(-31)).
108
Let c(q) = -100*q - 10. Let h be c(3). What is the common denominator of 7/10 and -2 + -1 - h/(-100)?
10
What is the least common multiple of 12*28/(-35)*-5 and 16?
48
Let m = -2038 - -2040. What is the least common multiple of 2560 and m?
2560
Let u(v) = -10*v + 12. Let r be u(-16). Suppose -3*m - 2*c + 2 = 8, m = 5*c + 15. Suppose -r = -m*k + 4*k. Calculate the common denominator of k and 58/3.
3
Let s = 175 - 165. Let r(d) = -3*d - 3. Calculate the lowest common multiple of s and r(-7).
90
Let s(p) = -3 - 101*p**3 - 3 - 7*p**2 + 9*p + 102*p**3. What is the lowest common multiple of s(6) and 20?
60
Suppose -175*h - 5 = -176*h. Let q = 15 - 9. What is the lowest common multiple of q and h?
30
Suppose 0 = -6*j + 113 - 95. What is the lowest common multiple of j and 31?
93
Suppose -102*x + 2250 = 5*s - 103*x, 5*s + 3*x - 2250 = 0. Calculate the least common multiple of 54 and s.
1350
Let c = -6975 + 83833/12. Find the common denominator of c and -9/4.
12
Let k = 4275 + -76853/18. What is the common denominator of k and 2162/408 + 96/(-51) + 2?
36
Suppose 0 = 5*p + 3*f - 5961 - 3107, -3*p + 3*f = -5460. Let o = p + -10837/6. Calculate the common denominator of -33/10 and o.
30
Let q be (2/6)/(2/(-12)). Let h = 4/99 + 2269/198. Find the common denominator of (-6)/(-16)*q/3 and h.
4
Let d = -73 + 107. Let l = 27 - d. What is the common denominator of (-8 - l)/((-44)/(-41)) and -13/7?
308
Let b = -6879 + 151245/22. Let i = 34531/286 - 1608/13. Find the common denominator of b and i.
22
Let d = -4099/80 + 573/10. What is the common denominator of 31/82 and d?
656
Suppose -3*x + 77 + 25 = 0. Let c = x + -32. Calculate the lowest common multiple of c and 4.
4
Let x(v) be the third derivative of -v**6/120 + 7*v**5/60 - v**4/4 + v**3/3 + 2*v**2. What is the smallest common multiple of x(5) and ((-1116)/403)/(2/(-13))?
198
What is the common denominator of 3041/7040 + (-106)/265 and 95/18?
12672
Let k = 255 - 155. Suppose -36 = -y - 5*x + 2*x, -5*x + k = 3*y. Calculate the least common multiple of 15 and y.
30
Suppose 2*o + 5 = n - 5, -4*n - 4*o + 40 = 0. Let p = n - 4. Calculate the common denominator of p/48 - (-67)/(-40) and -93/20.
20
Calculate the smallest common multiple of 5/((-10)/12) - -39 and 75.
825
Let l = 1 + 1. Suppose 2 = -l*q - 2, 14 = 2*u - 3*q. Suppose 4*z - 14 = 2*g, -2*z = 3*g + u + 1. Calculate the smallest common multiple of 10 and z.
10
Let k(x) = -6*x + 41. Calculate the least common multiple of k(5) and 32.
352
Let l = 898 + -260. Calculate the least common multiple of l and 232.
2552
Let j(y) = -y**3 + 4*y**2 + 10*y - 4. Let d(m) = m - 11. Let u be d(16). What is the least common multiple of 2 and j(u)?
42
Find the common denominator of 28/252*(-78)/4 and 33/4 + (-1)/(-4).
6
Suppose 5*o + 0*o = 5*g - 325, -2*o = -5*g + 328. Suppose g = -4*a + 7*a. What is the smallest common multiple of 14 and a?
154
What is the common denominator of (-43)/(-15)*(-39)/(-91) and -101/50?
350
Let u = 1275 - 1272. What is the least common multiple of 418 and u?
1254
Let g = -315/44 - -649127/90684. Let u = -107150/22671 + g. Calculate the common denominator of u and 50.
11
Let q = 1558619/10 + -162339. Let d be -7*(-4)/(-16)*3704 + -3. Let x = d - q. Calculate the common denominator of x and -39/22.
110
Let w = 3 - -12. What is the lowest common multiple of 48 and w?
240
Let k(j) = -j**3 + 8*j**2 - 6*j - 9. Let t be k(8). What is the common denominator of 43/21 and (-89)/(-30)*(t/12 + 6)?
168
Suppose -n = -5*n + 12. Calculate the lowest common multiple of 3/3 + 1 - -2 and (4 - 1)*2/n.
4
Suppose -1400 = 469*y - 489*y. Calculate the lowest common multiple of 140 and y.
140
Suppose s - 5 = 3*z, 15*z + 4 = 4*s + 19*z. What is the lowest common multiple of 3 and s?
6
Let f = 1500 - 1442. Calculate the least common multiple of 290 and f.
290
What is the common denominator of -1/24 and (-6)/(-8736)*1186 + (-2)/13?
168
Let b = 1342 + -1324. Calculate the least common multiple of b and 312.
936
Let g = -5917964/5 - -11907887/10. Let a = -7186 + g. What is the common denominator of a and 9/22?
110
Let s(q) = -q**3 - 3*q**2 + 10*q - 6. Let u be s(-5). Let m = u - -42. What is the smallest common multiple of 18 - 0/(-2 - -1) and m?
36
Calculate the common denominator of 25/48 and ((-191)/132)/1 - 26/(-78).
528
Calculate the lowest common multiple of 3 and -1 - -10 - (10 + -4)/6.
24
Suppose 2*a + 24 = 4*a. Suppose b = -3 + 5. What is the lowest common multiple of b and a?
12
Let h = -10/409 + 29887/1227. Calculate the common denominator of h and -4*-7*(-4)/(-10).
15
Let b = -28/26947 + 833390149/269470. Let z be (2 + 2)*(-2)/((-16)/6210). Let j = b - z. Calculate the common denominator of -91/4 and j.
20
Suppose 0*q = -2*q + 18. Suppose -h - q = -29. Calculate the smallest common multiple of h and (-2 - (-4)/3)*-1*12.
40
Let k = -327617/345888 + -8/10809. Find the common denominator of -31/9 and k.
288
Let q be 2 + -3 + 0 + -16. Suppose 2*a + 65 = 3*m, -2*m