4/125.
4625
Suppose 5*q + 5*s - 155 = 0, -2*q - 19 = -3*q + 3*s. Suppose 12 = -n - u - 30, -5*n + 2*u = 168. Find the common denominator of (6/q)/(n/(-217)) and -31/8.
24
Suppose -45 = 10*m + 35. Let q be m/3468*537066/120. Let x = q + 7/289. Find the common denominator of x and -3/2.
10
Let a(g) = g**2 + 10*g + 10. Let z be a(-8). Let h(c) = -5*c + 8. Let t be h(z). What is the common denominator of 125/6 and t/(-60) + (-3)/(-9)?
30
Let s(i) = i**3 + 4*i**2 - i - 8. Let t be s(-4). Calculate the lowest common multiple of 9 and -2 - (-209)/9 - t/(-18).
63
Let w be ((-5)/(-9))/(24/216). Calculate the lowest common multiple of 6 and (2/6)/(w + 3954/(-792)).
132
Let c = -1509/65 - -216/13. Let h = -2018 + -4167. Let k = 92827/15 + h. Find the common denominator of c and k.
15
Let l be 1/(2 - 1) + -3. What is the common denominator of 3720/(-288) + 1/(l/(-6)) and 2421/(-66) - (-4)/22?
12
Suppose 3*z = 2*p - 40, -76 = -4*p + 26*z - 21*z. What is the lowest common multiple of ((-36)/2)/(3/(-70)) and p?
420
Let j(i) = -2887*i + 23. Let p be j(-1). Find the common denominator of p/(-1500) - ((-3 - 3) + 3) and -3/70.
350
Let b = 3979/90 - -13/45. Find the common denominator of -13/175 and b.
350
Let g(t) = t**2 + 48*t + 91. Let j be g(-34). Let y = -383 - j. Calculate the least common multiple of y and 30.
30
Let k be 6/27 + 1815/(-27). What is the common denominator of (3 - k/(-20)) + -1 + 4 and -87/8?
40
Let u = 1037745/32 - 32427. Find the common denominator of (744/(-16))/(13 + -1) and u.
32
Let u(r) be the second derivative of r**4/6 - 17*r**3/2 - 7*r**2 - 12*r + 3. Calculate the least common multiple of 14 and u(26).
84
Suppose 0 = 2*s - 38*s + 5760. Calculate the lowest common multiple of s and 352.
1760
Let p = 766111/12825268 - 14/16787. Find the common denominator of p and -43/764.
764
Let y(r) = r**3 + 17*r**2 + 116*r + 1022. What is the smallest common multiple of y(-11) and 354?
1416
Let j(v) = 3*v**2 - 5*v - 807. Calculate the least common multiple of j(-17) and 3799.
18995
Let b(w) = -3*w**3 + 16 + 24*w + w**2 - 13 + 7*w**2 - 28*w. Calculate the smallest common multiple of 48 and b(2).
48
Let z = 727/66 - 46/11. Suppose -3*q - p - 78 = 0, -2*q + 3*p - 69 = -2*p. Find the common denominator of 159/(-2)*(-3)/q and z.
6
Calculate the lowest common multiple of 68 + -3 + -64 + 54 and 33.
165
Let m(f) = -f**2 - 3*f. Let z be m(-1). Find the common denominator of z/7 - (-26)/112 and 81/10.
280
Let u = 248229 + -1612992025/6498. What is the common denominator of 28/3971 and u?
71478
Let m = 137 + -55. What is the least common multiple of 5 and 15/20 + m/8?
55
Let k = 14 - 9. Suppose 3*z + z = u + 76, -2*z = -k*u - 20. What is the smallest common multiple of z and 1064/48 - 1/6?
220
Suppose -14 = -7*a - 0*a. Suppose 2*c = a*q - 228, 5*q + 12*c = 9*c + 610. Calculate the least common multiple of 63 and q.
1071
Let t(j) = 17*j + 123. Let i be t(-7). What is the smallest common multiple of 190 and 6*(i - (-64)/(-24))?
760
Calculate the smallest common multiple of (1/3)/(10 - 115489/11550) and 100.
700
Let z = 189797073 + -5693364499/30. Let a = z + -18260. Find the common denominator of 1 + 58/42 + -1 and a.
210
Find the common denominator of (-1998)/54*(-3)/(-3872) and -131/6.
11616
Suppose -3*b + 18 = -2*j + 7*j, -5*j - b + 26 = 0. Suppose -3*w = -j, -w - 20 - 22 = -z. What is the smallest common multiple of 12 and z?
132
Let b = -214315 + 133732529/624. What is the common denominator of -71/432 and b?
5616
Let o = -20 + 22. Let p(z) = -8*z - 118. What is the smallest common multiple of (5/o)/(10/24) and p(-23)?
66
Let t = -60 - -124. Suppose q = -t + 81. Let a(w) = -w**3 + 16*w**2 + 17*w + 20. Calculate the smallest common multiple of a(q) and 72.
360
Suppose 0 = t + 3*w + 13, 2*t - 4*w = -0*t + 24. Suppose -3*d = -p + 245, 145 = -2*d - p - t*p. What is the lowest common multiple of d/15*3/(-2) and 10?
40
Suppose 4*j - 3*n = -753, -3*j + 3*n + 335 = 896. Calculate the common denominator of 8/(-24) + 10*86/j and 43/22.
176
Let d(v) = 5*v - 103. Let s be d(20). What is the common denominator of (58/(-4))/1 - 0 and 5/s + 1 + 107/21?
14
Suppose -14*t - 29354 = -42*t + 8726. Calculate the smallest common multiple of 136 and t.
1360
Suppose -110 + 1225 = 5*y. Suppose 0 = -10*i + 427 + y. What is the smallest common multiple of i and 26?
130
Let b(v) = -7*v - 4 + 4*v**2 + 2 + 2. Let d be b(2). Suppose y + 75 = 2*h - d*y, -y = 4*h - 115. What is the smallest common multiple of h and 3?
30
Let i = 9388 + -9376. Calculate the least common multiple of i and (17 + -1)/((-1)/(-2)).
96
Suppose -9*o - 114768 = 95166. Let k = o - -1166369/50. What is the common denominator of 61/20 and k?
100
Let h = 11260037/1160085048 - 2/662149. What is the common denominator of 56/657 and h?
5256
Let w = 4976207/140 - 35544. Find the common denominator of -77/48 and w.
1680
Let y be (-14)/18 + 112/(-504). What is the common denominator of 149/6 and 470*y/44 + 6?
66
Let z = 6683 - 2421. What is the lowest common multiple of 7 and z/14 - 120/(-210)?
2135
Let v = -1013 - -158. Let a = -723 - v. Calculate the lowest common multiple of 99 and a.
396
Let o(x) = 192*x + 200. What is the least common multiple of o(-1) and 1414?
5656
Find the common denominator of -5 + 0/39 + (-2564)/(-448) and 97/3136.
3136
Let i(r) = 12*r**2 + 96*r + 84. What is the smallest common multiple of i(-8) and 14?
84
Let k = 31/21 - 1405/84. Find the common denominator of 12/(-50)*70/(-20) and k.
100
Suppose -3*a - a = -3*i + 202029, -5*a - 5*i - 252545 = 0. Let b be 7/(-2)*a/(-336). Let q = b - -530. What is the common denominator of q and 63/16?
16
Let s be -3 + (4*(-1)/(-2))/1. Let z be s + 0/(-7 + 2). What is the common denominator of (-2 - z) + (5/9)/5 and 57/4?
36
Let n(z) be the second derivative of 3*z**4/4 + z**3/3 - z**2 - 133*z. Calculate the smallest common multiple of 4 and n(1).
36
Suppose -4*t = 5*y + 15, y - 6 = -0*y + t. Calculate the lowest common multiple of 97 - y*(-5 + 6 + -6) and 9.
306
Find the common denominator of (222/27 + 3)/(38/(-57)) and (-2)/(-6) - ((-755)/120 + -4).
24
Let u = 5525495/2244 - 27086/11. What is the common denominator of 47/1020 and u?
11220
Let c(u) = 2*u**3 + 33*u**2 - 53*u - 40. What is the lowest common multiple of 1248 and c(-17)?
13728
Suppose -3*k = -t - 269, -2*k = 2*t - 25 - 157. Suppose -2*v = 7*v + k. What is the common denominator of -43/18 and (1 - (-258)/(-16))*v/(-45)?
36
Let r = -156/7249 + -28025/14498. Let n be 1561/2 + 2/8. Let m = -768 + n. Find the common denominator of r and m.
44
Let m = -1291 - -1294. Calculate the least common multiple of 2 - -1*8/2 and m.
6
Let c be 6/27 - 87/27. Let j be -3 + 3 + c + -7. Calculate the least common multiple of (-7 + 15)*j/(-4) and 42.
420
Suppose 0 = -16*y - 11 + 59. What is the common denominator of 406/(-40) - 2/8 and (-76)/(-646) + y/119?
35
Let x(i) = i**3 - 2*i**2 + 7. Let b be x(0). Let q = 5247/14 - 2565/7. Calculate the common denominator of q and (b - 498/48) + (-4 - -1).
56
Let u(f) = 17*f + 3. Let d be u(-1). Let v be (12/d)/((-7)/(-1176)*4). Let y = v - -43. Calculate the smallest common multiple of 5 and y.
35
Let l = 12/910619 - -64461808175/16391142. Suppose -4451 = 7*i + 23129. Let s = l + i. Find the common denominator of s and -103/30.
90
Let j = 1149569758157353/71703367020 + 247/132784013. Let y = -80167/5 + j. Calculate the common denominator of y and 65/36.
108
Let j = 104 - 106. Calculate the common denominator of 764/(-288) - -4*j/64 and -61/10.
90
Let g = 114575/7 + -16447. Let v = -1679/21 - g. Calculate the common denominator of (3/108)/((-36125)/(-3621) + -10) and v.
420
Suppose 3*k = -5*f + 69, 2*f + 5*k + 17 = 56. What is the lowest common multiple of 6*((-4)/8)/(-1) + 11 and f?
84
Let l = 724487/2806496 - -3/7973. Find the common denominator of -115/132 and l.
1056
Suppose 104*u = 46*u + 56*u + 5004. Calculate the least common multiple of 27 and u.
7506
Let t(a) = -a**3 + 8*a**2 - 20*a + 184. Calculate the least common multiple of t(7) and 124.
372
Suppose 0 = -4*c + 9*c - 45. Let g(m) = -m**3 + 9*m**2 - 5*m + 30. Let x be g(c). Calculate the common denominator of ((24/x)/4)/((-144)/30) and 33/20.
60
Let u be (-1)/((8 - 5)/(-9)). Suppose v = -50 + u. Find the common 