 89501/22. Find the common denominator of w and ((-478)/36 - -4) + h.
198
Calculate the common denominator of (-3)/(1183/104 + (-1 - (0 - 0))) and -46/3.
249
Let q(k) = k**3 + 7*k**2 - 11*k - 9. Let a be q(-9). What is the lowest common multiple of 5 and a/(-756) + (-2056)/(-21)?
490
What is the common denominator of -97/3336 and 2*60/(-32)*15/(-162)?
10008
Let r be (9 + -8)/((-182)/1208804). Let j = r - -6642. What is the common denominator of -19/7 and j?
91
What is the common denominator of -145/6 and ((-859925)/(-1400))/53 - (12/(-14))/3?
24
Let c = -39 + 986/25. Find the common denominator of (-4 - -14)/(-50) - (-8)/(-13) and c.
325
Let h = 1746 + -999. Find the common denominator of 111/10 and ((-1)/10*-2)/((-27)/h).
30
Let r = 7934701/348 + -22801. What is the common denominator of r and -103/276?
8004
Let r = 68828/15 - 4585. Find the common denominator of r and 16/1647.
8235
Suppose 3 = -2*l + 11. Let r(m) = -6*m**2 + 14*m + 5. Let g be r(l). What is the common denominator of 76/15 and 1070/(-24)*(-14)/g?
30
Let n = -9949 + 9999. Calculate the least common multiple of 50 and n.
50
Let c = -12/645169 - 10638180481/600007170. Let h be 16/31*(-28)/140. Let x = c + h. Calculate the common denominator of x and -167/30.
30
Suppose -18*n - 175 = -3055. Calculate the least common multiple of 108 and n.
4320
Suppose 2*x + 5*n - 118 = 85, n = x - 77. What is the lowest common multiple of x and 1?
84
Calculate the common denominator of (500505/(-3780))/(-61) + 18/21 and 2/(-6) + (-41)/24.
72
Let j(d) = 28*d**3 + 12*d**2 + 11*d - 15. Calculate the smallest common multiple of 27 and j(4).
18117
Suppose 7*f - 3*i = 9*f - 15, 2*f - 5*i + 9 = 0. Suppose -f*p + p - n + 62 = 0, -4*n = -8. What is the smallest common multiple of 4/2*(4 - -2) and p?
60
What is the common denominator of ((-15)/(45/(-6)) - 456/15)/28 and 115/168?
840
Suppose 0 = 4*z - 10*p + 5*p - 1130, 0 = 5*z + 5*p - 1435. What is the smallest common multiple of 152 and z?
2280
Let w = 906376/55 - 16480. Let d = w - -5561/770. Calculate the common denominator of 17/12 and d.
84
Suppose -4*v - 5*s - 7 = 0, 3*v - 15 = 13*s - 10*s. Suppose 5*m + 5 = -0. Let b(q) = 7*q**2. What is the least common multiple of b(m) and v?
14
Calculate the common denominator of ((-1065)/108*-3*(-3)/40)/12 and 151/672.
2688
What is the common denominator of 79/(-30)*(-5)/2 and (-1 - (-675)/125)/((-16)/25)?
24
Let y be -4 + (1/132)/(4458/2776640). Let o = 1/743 - y. Calculate the common denominator of 67/30 and o.
990
Let s be 2*1*(-38267)/(-510). Let k = -2971/20 + s. Calculate the common denominator of k and 121/6.
60
What is the least common multiple of ((-56)/5)/(47/((-8460)/72)) and 224?
224
Calculate the common denominator of 24/8640*-12*-710 and -13/4674.
4674
Let h(i) = i**3 - 23*i**2 + 94*i + 66. Calculate the least common multiple of 102 and h(19).
408
Suppose 19*a + 15*a - 3137 = 102943. What is the least common multiple of a and 160?
6240
Let t(u) = u**3 - 2*u**2 - 14*u - 5. Let a be (-5 - -14 - 3)/1. What is the lowest common multiple of t(a) and 65?
715
Let u(o) = -o**2 + 13*o + 9. Let w be u(13). Suppose 10*j + w = 149. What is the least common multiple of -6*(-2)/4 + 31 and j?
238
Let f(w) = w + 2. Let r be f(2). Calculate the common denominator of -73/6 and (5/(660/(-27)))/(r/(-96)).
66
Let g = 49/39 - 101/546. Find the common denominator of g and (-2)/2 - (2373/(-224) - -9).
224
Let r = 9753 - 9729. What is the least common multiple of r and 48?
48
Suppose -19*r + 35 + 535 = 0. Let k = -29 + r. Calculate the smallest common multiple of 81 and k.
81
Let t be (-1556)/(-14) + -2*7/98. Let j = 113 - t. Calculate the least common multiple of 14 and j.
14
Let o = -2/4723 + 108651/51953. Let l = -8/121 - -4912/1089. What is the common denominator of l and o?
99
Let o be 3633021/(-11375640) + 4 - 2. Let m = 4/52665 - o. Calculate the common denominator of m and -81/32.
288
Let n = 111 + -62. Suppose -5*l + 19 = n. Find the common denominator of ((-88)/84)/((-2)/l) and 13/37.
259
Let l = 36 - 31. Suppose 4*p = 4*y + 324, -y + 33 = l*p - 360. Suppose -89 = -4*g + p. Calculate the lowest common multiple of g and 9.
126
Suppose 0 = 3*u + 2*j - 87083, -6*u + 116112 = -2*u + 4*j. Calculate the common denominator of 43/9 and 18 + u/(-1584) + 4/(-22).
144
Suppose 0*r - 4*r - 5*u + 30 = 0, -5*r + 5*u + 15 = 0. What is the common denominator of -109/14 and (-5797)/1562 + (r - 0) + -1?
994
What is the common denominator of -13/1162 and 2/15 - 2044/360*-3?
3486
Let g = -40 - -42. Suppose 2*f - 31 - 2 = 3. What is the least common multiple of f and g?
18
Suppose 0 = 3*g - 5*i - 34, -g - 3*g - 5*i = 13. Suppose -c - 4*c = g*c. Suppose 2*f + 32 = 7*f + b, c = 4*b + 12. What is the least common multiple of 7 and f?
7
Suppose -2*m + 182 = -2*c, 3*c + 3 = -0. Suppose -7*s + 225 - 50 = 0. What is the lowest common multiple of s and m?
450
Suppose -72*d = -70*d - 240. Calculate the least common multiple of d and 1560.
1560
Suppose -3*a - 13 = 4*i + 1, -a - 4 = i. Let v(r) = -4*r - 2. Calculate the smallest common multiple of (1 - -1)*(-2 - -10) and v(a).
48
Let x = 353115408 + -564656159. Let i = 430273901015/2034 + x. Let d = i - -32/339. What is the common denominator of d and -37/12?
36
Let r = 2796 + -2643. What is the least common multiple of r and 153?
153
Suppose 0 = -2523*v + 2536*v - 260. Calculate the smallest common multiple of 260 and v.
260
Suppose 86*c - 4191 - 2253 = -1628. What is the lowest common multiple of 7 and c?
56
Let l = -2 + 12. Let w be 1*l*(14 - 10). Suppose -w*z = -43*z + 174. Calculate the smallest common multiple of z and 10.
290
Suppose -721 = -51*o + 452. Calculate the smallest common multiple of o and 2.
46
Let y(a) = -3*a**3 + 2*a**2 + 1288. Let p be y(0). Suppose 10581 = u - p. Let r = u + -118569/10. Find the common denominator of -75/38 and r.
190
Let f(k) = 3*k - 79. Suppose 4*y - i - 76 = 35, 0 = -y - 5*i + 12. Calculate the least common multiple of f(y) and 24.
24
Calculate the common denominator of (4/11520*-52)/((-18)/10 - -3) and -63/4.
864
Let c = 64393 + -6181673/96. Find the common denominator of c and ((-1)/(-4))/((-198)/1122).
96
Let o(j) = -j**3 + 9*j**2 + 3*j - 7. Let c be o(9). Let h(r) = 3*r**2 - 19*r - 164. Calculate the least common multiple of h(c) and 10.
3280
Let l = -19265/2 + 48328/5. Let b = l - 33. Find the common denominator of -101/10 and b.
10
Suppose -3*j + 12 = b, 2*j + 10*b + 0*b = -20. Let t be 180/(-8) + (-1)/2. Let d = 34 + t. Calculate the smallest common multiple of d and j.
55
Let w be (4 - 0) + -269 + -1. Calculate the least common multiple of 171 and 7*(10/95 - 48/w).
342
Let d = -1/424 - -32015/1272. Let n = 11465 + -275281/24. Find the common denominator of d and n.
24
Find the common denominator of -25*(-2)/16 - 1 and 215501/(-76560) - 3/(-5) - 2138/(-31001).
48
Let v = -17874 - -285887/16. Find the common denominator of v and (-481)/140 + 2*3/21.
80
Let g(f) = -f**2 + 50*f + 221. What is the lowest common multiple of g(31) and 20?
1620
Let w(t) = -t**2 - 19*t + 166. Calculate the lowest common multiple of w(6) and 4170.
33360
Let a = -262 - -522. Calculate the least common multiple of 520 and a.
520
Let i = 50 - 48. Suppose 4*k - 62 = -i*f, k + k - 5*f = 61. Calculate the lowest common multiple of 24 and k.
72
Suppose -284 = -8*c - 84. What is the common denominator of (-5 + (-53)/c)/(-8) and 41/44?
1100
Let s(m) = 18*m + 13*m - 28*m + 5. Let p be s(-3). Find the common denominator of (-2)/((-384)/(-220))*(-3)/p and 71/16.
64
Suppose -4904 + 1250 = -14*m. Suppose -14 = -268*k + m*k. What is the least common multiple of 2 and k?
2
Suppose -5*p + 14 = 2*o, 5*p - o - 12 = -2*o. Let u(f) = -3*f**3 - 25*f**2 - 10*f - 13. What is the least common multiple of u(-8) and 1/((-1)/p)*-2?
12
Suppose 1001 = 11*m - 2629. Calculate the least common multiple of 91 - (-1 - -2)/(-1) and (-120)/m*(-11)/2.
92
Let h(z) = 83. Let v(m) = -m + 83. Let i(q) = 4*h(q) - 5*v(q). What is the common denominator of -3 + (-1)/((-12)/123) and i(12)?
4
Let h(a) = -7*a**2 - 25*a - 203. Let p be h(-6). What is the least common multiple of 81 and 1/2 - (-4)/((-8)/p)?
1377
Let t = 815 + -406. Suppose -k - v = 3*k - t, k - 5*v = 97. Calculate the smallest common multiple of 4 