). Let t = 11 + i. Calculate the lowest common multiple of t and 16.
48
Let n = -2563/21 + 133309/1092. What is the common denominator of n and -5/728?
728
Let y = 38 + -35. Suppose 2*z + 3*s = 43, -y*z + 5*z = 4*s + 36. What is the smallest common multiple of 10 and z?
20
Suppose -112 = -4*b - 35 + 19. What is the smallest common multiple of b and 300?
600
Suppose 0 = -6*k + 4*k - 4, 2276 = -3*m - 4*k. Let v be (9859/m + 0)*6/(-15). Let a = -536/135 + v. Calculate the common denominator of a and 63/4.
252
Let y = -43571 - -1568411/36. Let b = 249301/20 + -12468. Calculate the common denominator of b and y.
180
Let b be -2 + (-3081)/108 - (-2)/(-9). Let r = -57/4 - b. Find the common denominator of 63/88 and r.
88
Suppose 3*j - 10 - 5 = -3*n, 0 = 6*n - 4*j - 20. Calculate the least common multiple of 12564 and n.
12564
Let n = 424333/2241388 + -4/13667. Calculate the common denominator of n and 102/33 + 1394/1020 + (-2)/(-15).
1804
Suppose -173*m + 190*m = 2856. What is the smallest common multiple of 120 and m?
840
Suppose 2*p + 2*p = 3*v + 1493, -2*v = 3*p - 1124. What is the smallest common multiple of p and 5?
1870
Let s be (-14)/(-7) + (-7)/(28/16). Calculate the common denominator of 101/72 and (2 + 254/(-126))/(s/186).
504
Let l be 0/(-5) - (-2 - 1). Suppose j - 3*r - 8 = 0, l*r + 35 = 5*j - 5. Suppose 0 - 2 = 2*p, -2*p = u - 34. What is the smallest common multiple of j and u?
72
Let o = 204088/21 - 9722. Find the common denominator of o and -1 + (-5 - 10112/(-504)) + -6 + -7.
63
Let l be 2474659/115 - 0/(-22). Let a = 21519 - l. Find the common denominator of a and 28/55.
1265
Suppose 4*k - 2*r - 92 = 0, 104 = -8*k + 12*k + 4*r. Let x = -75 + 117. What is the lowest common multiple of k and x?
168
Let y = 7 + -4. Suppose -3*v + 2*s = -3243, -1074 = -v + 9*s - 6*s. Suppose v*j + 297 = 1092*j. What is the lowest common multiple of j and y?
33
Suppose -326 = 8*q + 34. What is the common denominator of 101/2 and (192/q + 2)/((-4)/35)?
6
Let m(u) = 2*u**2 + 4. Let l(w) = 6*w + 47. Let q(c) = -5*c - 48. Let x(t) = -4*l(t) - 5*q(t). Calculate the lowest common multiple of x(-30) and m(-3).
22
Calculate the smallest common multiple of 2817 and 2/(-3)*(-96717)/206.
2817
Let d = -4195 - -16815/4. Find the common denominator of d and -41/9712.
9712
Let k(r) = -9*r + 7. Let p be k(2). Let b be 100/55 - 2/p. Suppose 0 = z + w + w - b, 0 = 3*w + 12. What is the least common multiple of z and 62?
310
Let j be (0 + -114)/(5/((-15)/6)). Let n = 62 - j. What is the least common multiple of n and (-2)/4 + (-1917)/(-54)?
35
What is the smallest common multiple of 2086 and (-18)/(-30)*(-2 + 7) + 1040?
2086
Suppose 6*g + 83 = -469. Let f = g + 148. Calculate the lowest common multiple of f and 175.
1400
Let i(a) = -a**3 - 8*a**2 - 4*a + 2. Let d be i(-5). Let m = d + 90. Suppose -6*v + 253 - m = 0. Calculate the smallest common multiple of 8 and v.
72
Find the common denominator of (-1024)/(-352)*(((-266)/12)/(-7) - 3) and -41/1404.
15444
Suppose -5*b + 0*b + 140 = 0. Let z = -5484 - -175469/32. What is the common denominator of ((-45)/b)/(4/(-14)*1) and z?
32
Let n be 10/2 + 316390/(-34104). Let l = -4/147 - n. What is the common denominator of l and -47/116?
116
Suppose -2*k - 34*d + 36*d + 332 = 0, 0 = -k - 5*d + 184. Calculate the smallest common multiple of 351 and k.
4563
Suppose -t = 11*k - 7859, 5*t = -k - 53 + 738. Calculate the smallest common multiple of k and 2275.
25025
Let a be 552/(-195) - -2 - (-12)/(-30). Let p be (-789)/36*(-14)/(-13). Let v = a + p. Find the common denominator of 71/16 and v.
48
Let r = -18253 - -20377. What is the smallest common multiple of 21 and r?
14868
Let f be (-60)/54*(-39411)/(-12). Let o = 3664 + f. What is the common denominator of 28/19 and o?
114
Let d = 23 - 21. Suppose 4*n + 8 = -d*r, -4*r - 4 = 5*n - n. What is the smallest common multiple of 10 and ((-400)/24)/(r/(-6))?
50
Let b = 3701 + -3253. Calculate the lowest common multiple of 504 and b.
4032
Suppose 0 = f - 3*f - 2954. Let v = f - -7424/5. Find the common denominator of -9/20 and v.
20
Let u be (6/5)/(39/130). Suppose t = -5*i + 903, i - u*t + 0*t - 168 = 0. Calculate the common denominator of -2 - i/64 - -1 and 39/22.
176
Let m be (-1)/(-12)*-2 - (-31)/6. Find the common denominator of -17/30 and ((-1)/(-24))/((-8)/(-5560)*m).
120
Suppose -3*y + 15 = 3*b, 4*b = 2*b + 2*y + 6. Let p = -1628 - -1640. What is the least common multiple of b and p?
12
Suppose 4*q - 5*q + 30 = 2*y, 5*y - 150 = -5*q. Suppose 2*p - 45 = -3*p. Let o = 15 - p. Calculate the least common multiple of o and q.
30
Let x(w) = -1 + 1 - 1 + w. Let m be 12 - (-9 - 168/(-14)). Calculate the lowest common multiple of x(m) and 68.
136
Let z be 8 - 0*(-2)/4. Calculate the common denominator of (0 + 0 + -2)/(-18) and (-12)/z*(-38)/21.
63
Let x(g) = 6*g. Let t be ((-20)/35 - 0)*105/(-6). Let b(d) = -2*d**3 + 18*d**2 + 26*d - 27. Calculate the lowest common multiple of x(1) and b(t).
66
What is the lowest common multiple of (-14)/(-35) + 4572/20 + 1 and 310?
7130
Let a(n) = -n + 20. Let u be a(-8). Suppose 0 = -20*o + u*o - 56. What is the least common multiple of (-10 + 1)/(3/(-2)) and o?
42
Let d(i) = -33 - 3*i + 55*i**2 + 22*i - 111*i**2 + 57*i**2. Calculate the least common multiple of d(-21) and 5.
45
Let a = 399/4 + 120. Let j be (-9)/(-6) + 1 + (-37498)/168. Let t = a + j. What is the common denominator of 79/18 and t?
126
Let j = -12489/14 + 894. Let n = 116/7 + j. Calculate the common denominator of n and ((-21)/(-8))/((-261)/2262).
4
Suppose 6*s + 114*s - 375 = -5*s. What is the smallest common multiple of s and 66?
66
Let w(v) = -11*v**2 - 3*v + 9. Let a be w(6). Let q be (a/(-100) + -4)*-267679. Let r = -13387 - q. What is the common denominator of -11/8 and r?
40
Let f(g) = -5*g**3 - 15*g**2 - 21*g + 34. What is the smallest common multiple of f(-6) and 10?
700
Let y(k) = -k - k**3 - 1 - 6*k**2 + 0*k**2 + 2*k**2 - 3*k**2. Let x be y(-6). Let f = x - -45. What is the smallest common multiple of f and 10?
70
Let w be (8 - (4 + -2))*-6. Let n be 60/(-18)*w/15. Let l(u) = u**3 - 9*u**2 + 13*u - 18. What is the least common multiple of 10 and l(n)?
110
What is the lowest common multiple of 14/(-8) + ((-43677)/(-92) - -17) and 2695?
5390
Let j(y) = 139*y + 15747. Suppose 7*q - 20 = 2*q. Suppose 0*d + q*d - 32 = -v, -2*d = -4*v - 16. Calculate the lowest common multiple of d and j(-113).
40
Calculate the common denominator of 13/12748 and (-52)/(-12) + -5*(-10)/(-20).
38244
Let r(i) = 31*i**3 + 3*i**2 + i - 1. Suppose 0 = 7*x + 11 - 18. Suppose 5 = 2*l + g, -2 = 5*l + 5*g - 7. What is the smallest common multiple of l and r(x)?
68
Suppose 0 = 5*t + 3*q + 29771, 2*t + q = -20519 + 8611. Let p = t - -232195/39. Find the common denominator of (-48)/(-32) + (-416)/108 - (9 + -22)/(-78) and p.
351
Let o = 255 - 651. What is the common denominator of 11/4 and (2 - 1) + 8/((-640)/o)?
20
Suppose 17*q = 50*q - 1155. What is the common denominator of (-3 - -6 - 2) + q/(-18) and -17?
18
Let o = 218562 - 40652419/186. Find the common denominator of 9/104 and o.
9672
Let b(c) = 2*c**3 + 97*c**2 - 494*c - 69. What is the lowest common multiple of b(-53) and 338?
10816
Suppose 15 = -5*h, -4*j + 694 = -0*j - 2*h. What is the common denominator of ((-670)/(-72) + -10)/(1/15) and (j/54)/(16/(-12))?
36
Suppose 5*k + z - 177 = 4*z, 0 = 3*z + 12. Suppose -8470 + 910 = 116*j - 236*j. Calculate the least common multiple of k and j.
693
Let j(t) = -3*t + 45. Let g be j(11). Suppose g*v - 11*v = 84. What is the common denominator of 3/v*11/((-66)/376) and 8/9?
63
Let b = 231 - 220. What is the lowest common multiple of b and (-63)/(-21) + ((-2)/1 - -179)?
1980
Suppose -2*h - 23 + 55 = 0. Suppose -73 = -12*l + 863. Calculate the lowest common multiple of h and l.
624
Let l be 52227/(-30) - 24/(-8). Let u = l + 1740. Calculate the common denominator of u and -47/70.
70
Suppose -6*w = -11*w. Suppose -4*s + 3*t + 28 = -0, w = 4*t + 16. Calculate the smallest common multiple of 6 and 19 + s/6*9/6.
60
Let k = 66 + -27. Suppose 16*w - 228 = 156. Calculate the least common multiple of k and w.
312
Let l be (-2)/(-12) - ((-55991)/(-2262) + -24). Let j = 140/32303 + -31503899/16862166. Let a = l - j. What is t