2*y + 2287 + 4807 = -2*p. Find the common denominator of (-700)/y + 7/42 and -89/22.
3256
Let j(w) = -2263*w - 13377. Let z = 0 - -7. What is the lowest common multiple of j(-6) and z?
1407
Suppose 28*d = 32*d - 996. What is the smallest common multiple of d and 69?
5727
Let k(v) = v**2 + 18*v - 52. Let y be k(-16). Find the common denominator of 13/2 and (-4)/(-12) - (-601)/y - -3.
28
Let k be 6/(-15) - 672/(-30). Suppose -k*z = -20*z - 36. Suppose -2*j + 6 + z = -5*d, -j + 4*d = -15. Calculate the least common multiple of j and 8.
56
Calculate the least common multiple of (-1)/(-1) + 2373 - (50 - 441/9) and 56.
18984
Suppose -2*g - 4 = -3*a, 0*g + g - 1 = 0. Suppose 5 = -p, a*w + p = -1 - 0. What is the lowest common multiple of 18 and w?
18
Suppose 18 = -6*a + 78. Suppose a*k - 24 = 6*k. Let t = -140 - -149. Calculate the lowest common multiple of k and t.
18
Let k be (-8 + 10)*(2 + 6/(-4)). What is the common denominator of (-14)/(-4)*k/(-22) and (308/(-32) + 9)*12/22?
44
What is the common denominator of 108/81*(-582)/352 and -85/276?
3036
Let u(c) = -9*c**2 + 39*c + 14. Let v be u(12). Let j = -714 - v. Calculate the smallest common multiple of 20 and j.
100
Let q = 7475 + -7467. Let o(f) = -f**2 + 13*f + 8. Calculate the least common multiple of o(7) and q.
200
Let j(t) = -15*t**3 + t**2 - 6*t + 8. Let m be j(2). Let r = m - -397/3. Calculate the common denominator of 4/8 + 34 + -2 and r.
6
Find the common denominator of 15 + -12 - (32356/(-8052) - -7) and 25/66.
4026
Suppose 50 = 5*f - x - 47, 21 = -3*x. Let z = 38 - 18. What is the smallest common multiple of z and f?
180
Let o = -38 + 61. Suppose 3*t = -p - 2, -4*p - 20 = -0. What is the least common multiple of t and o?
23
Let i be ((-3)/1)/3*3. Calculate the smallest common multiple of (-8*1)/(10/(-25)) and 7*((-123)/(-21) + i).
20
Calculate the common denominator of -55/64 and 4251/(-1128) + (17 - -3)/5.
3008
Suppose 5*b + 4*d = 18, d + 6 - 2 = 3*b. Suppose -1 = b*l - 67. What is the least common multiple of 36 and 11/l - (-26)/3?
36
What is the lowest common multiple of 8 and (-129360)/(-5280) - 4/(-6)*(-18)/(-8)?
104
Suppose -4*u = -3*z - 5754, 1329*u + 5*z - 1450 = 1328*u. What is the least common multiple of u and 1120?
10080
Let a be -2 - -1 - (7 + (-7 - -1)). Let l(d) = -16*d - 26. Calculate the lowest common multiple of 34 and l(a).
102
Suppose -1641 = 7*n - 1949. Calculate the least common multiple of n and 11.
44
Let p(a) = 5*a**2 + 164*a - 18. Calculate the lowest common multiple of 186 and p(-33).
930
Suppose -2*n - 5 = -3*u, 4*n = u + 9 + 6. Suppose u*p - 148 = 152. Suppose -5*h + p = 5*c, c - 9 = h - 3. What is the lowest common multiple of 6 and c?
18
Let b be -1*12/16 + (-61)/(-3). Let a = 1/2712 - 116165/2712. Let h = b + a. Find the common denominator of h and 5/36.
36
Let w = 417 - 399. What is the common denominator of (255/450)/((-4)/w) and 15/32?
160
Suppose -r - 120 = -3*u + 146, -2*u = 4*r - 182. Let w = -37 + u. Let q = -713 - -731. Calculate the least common multiple of q and w.
468
Suppose 5*v = -25, 2*i - 4*v = -3*i + 170. Suppose p - 4*b + i = -9*b, -3*b + 30 = -p. What is the common denominator of 5/2 and p?
2
Let z(p) = p**3 - 9*p**2 + 14*p + 15. What is the smallest common multiple of ((-324)/(-15))/(-2)*(-10)/4 and z(7)?
135
Let j be (-78)/(-26) + -1*5 + 0. What is the lowest common multiple of 21 and ((-52)/14)/((-13)/91) + j?
168
Suppose 4 + 16 = m - v, -43 = -2*m - v. Let g(f) = -f**3 + 15*f**2 - 54*f + 17. Calculate the least common multiple of g(8) and m.
231
Suppose 2*b + 5 = 31. Let s be 183/36 + 3 + b/(-5). Let h = s + -31/12. Calculate the common denominator of 71/20 and h.
20
Let r = -2186 - -21877/10. Let y(w) = 2*w - 4. Let m be y(-6). What is the common denominator of r and ((-75)/(-8))/(44/m)?
110
Find the common denominator of (-162)/(-432)*(-143)/441 and 87/2.
1176
Let z be 45339/(-42) - (2/(-4) + 1). Calculate the common denominator of 48/z - (0 - 0) and 73/80.
720
Let s = -66437 + 6378077/96. Calculate the common denominator of -13/32 and s.
96
Suppose 0 = -15*y + 12*y + o + 21, 4*o = 3*y - 12. Suppose 5*b + y*m = 6*m + 172, -2*b + 4*m + 88 = 0. Calculate the smallest common multiple of b and 8.
72
Let q = 16669 - 2150288/129. Calculate the common denominator of q and 71/9.
387
Find the common denominator of -9 + 3816/405 + 2/(-48)*-4 and 23/45.
90
Suppose 71*u - 5984 = 60*u. What is the least common multiple of 74 and u?
20128
Suppose 6*x = 25*x. Suppose -5*v + 3*d + 14 + 64 = x, -2*v + 28 = -2*d. Suppose -l + 2*l = v. Calculate the lowest common multiple of l and 11.
198
Suppose -6*x - 5*q = -10*x - 3, 0 = q - 3. What is the least common multiple of x and 290?
870
Let t = -126 + 124. Let o = 8 + t. What is the smallest common multiple of o and 17?
102
Suppose -5 - 3 = 2*x, 5*w = -5*x + 30. Let q be 16/w - 2/(-5). Suppose q*p + 1 = 5*b, -1 + 5 = p + 2*b. What is the least common multiple of 4 and p?
4
Let t(m) = 92*m**2 + 172*m - 174. Calculate the least common multiple of t(1) and 720.
720
Let d(x) = -x**3 - 3*x**2 + 10*x - 2. Let j be d(-5). Calculate the common denominator of 76/39 and (-43)/(j - -3 - 4).
39
Let z = 5 + -1. Let v be (2 - 4)/(60/(-25) + 2). Suppose 3*m - v = -w + 3*w, z*m = -4*w + 40. What is the smallest common multiple of m and 7?
35
Suppose -5*w + 26 = -4*w - 5*o, -4*o = 3*w - 59. Calculate the least common multiple of 4 and -7 + w - (7 - 3).
20
Suppose 0 = -5*r - 2*p + 23, 9 = 3*r - 2*p - 8. Suppose r*k + 3*c = 54, 3*c = k + 2*c - 14. What is the smallest common multiple of 22 and k?
132
Suppose -17*d + 3451 = -6273. Calculate the common denominator of -73/440 and d/72 + (-15)/9.
3960
Suppose -6*v - 175 - 71 = 0. Let a = 47 + v. Suppose -83 = -5*t - 4*x + 6*x, -95 = -5*t + 5*x. Calculate the least common multiple of a and t.
30
What is the common denominator of (1 + 36/(-15))/(21800/4875*3) and 41/112?
12208
Let n be (3/972)/(4 + 430755306/(-107688828)). Let r = -55395 + n. What is the common denominator of -7/198 and r?
1782
Let u be 18/(-12)*(-32)/3. Find the common denominator of (21/(-10))/(2/3) and u/(-4) + (-126)/(-44).
220
Let m(p) = -2*p**3 - 34*p**2 + 5*p + 1. Let n be m(-17). What is the common denominator of 47/102 and (n/64)/3 + -5?
816
Let r = 15550 - 15470. Calculate the least common multiple of 90 and r.
720
Let t = -500242/10356639 - -8/19073. Calculate the common denominator of t and -34/7.
3801
Let g(u) = 7*u**2 + 5*u + 11. Let r be g(-2). Suppose -r = -34*w + 243. Suppose 4 = v - 2. What is the least common multiple of v and w?
24
Let y = 29 + -8. Suppose -y = -k - 3. Find the common denominator of -113/12 and (1917/k)/(36/(-3)).
24
Let r = 13/644 + 9869/1610. Let k = -3835/8 - -480. What is the common denominator of k and r?
40
What is the common denominator of -10 - -1 - (57895/(-2000) - -20) and -49/20?
400
Let l = 49 + -52. Let t be (11/(-2))/(l/18288) - -1. Let y = 2883433/86 - t. Calculate the common denominator of y and 19/2.
86
What is the common denominator of (75/25)/(378/(-826)) and (2/25)/(2/13)?
225
Suppose 82*n = 145*n + 109*n - 212076. What is the least common multiple of 411 and n?
1233
What is the common denominator of 4 + ((-42)/5136*367 + 3)*3390 and 27/856?
856
Let w = -260113/18 + 14459. Calculate the common denominator of 39/20 and w.
180
Let m be 12167/(-69)*6/10. Let f = m + 3059/30. What is the common denominator of -77/6 and f?
6
Let v(z) = z**3 + 68*z**2 + 19*z + 54. What is the smallest common multiple of v(-67) and 12?
6540
Suppose -o + 199 = m, 0 = -219*m + 220*m + 4*o - 196. What is the lowest common multiple of m and 475?
3800
Suppose 3*j - 8 = 10. Suppose -2*k = j, 0 = v + 4*v + 3*k - 301. Suppose 80*l - 89*l = -18. Calculate the lowest common multiple of v and l.
62
Suppose 0 = -45*r + 9*r - 77760. Calculate the lowest common multiple of 104 and (-16)/(-28) - r/140.
208
Let n = 157097 + -148613705/946. Find the common denominator of 67/32 and n.
15136
Let d = -171/4 - -1109/26. Find the common denominator of (-390)/(-18) + 7 + 136/32*-2 and d.
156
Let g(x) = -4*x + 76. Let h be g(5). Suppose 120*p + h = 121*p. What is the least common multiple of p and 56?
56
Let g = -63487/2489 + 490/19. Let i = -539/4 + 139. Find the common denominator of i and g.
5