. Calculate the least common multiple of 22 and q.
5038
Let x = -4897/210 + 156/7. Let z = 3/433 - 8669/1299. What is the common denominator of x and z?
30
Let d = -19 - -48. Let q(a) = 2*a**2 + 11*a - 35. Let i(c) = c**2 + 5*c - 18. Let v(b) = 5*i(b) - 2*q(b). Calculate the smallest common multiple of d and v(4).
232
Suppose 81*y = 24*y - 103*y + 110400. Calculate the smallest common multiple of 345 and y.
690
Let i = -476 + 558. Let y be ((-1)/2)/((-2)/(-220)). Let d = y + i. What is the least common multiple of d and 33?
297
Find the common denominator of ((-156)/20)/(128/224 + (-50)/14) and -46/261.
1305
Find the common denominator of 43/128 and 10 + -1 + (19 - (-80181)/(-2880)).
640
Suppose -h = 3*l + 7178 + 1543, 0 = -5*h + l - 43685. Find the common denominator of -83/234 and (-3)/(-2) - (h/(-90))/16.
1170
Let o(z) = -14*z + 2098. What is the lowest common multiple of o(-16) and 18?
2322
Suppose 5*v = -3*z + 255, 235 = v + 4*v - z. Calculate the smallest common multiple of v and 4/(-18) + (-14092)/(-234).
240
Let b = -3764/3 - -1237. What is the common denominator of b and -51 + 45/1 - (-5 + 1 - 807/414)?
138
Let v = -117/80 + 2143/1200. Calculate the common denominator of v and 7/30.
300
Calculate the common denominator of -9 + (-702196)/46794 + 24 and -82/15.
10635
Let f = -5521 - -5523. Calculate the least common multiple of f and 3628.
3628
Let g(k) = -12 + 7*k - 10*k + 8*k - 4*k**2 + k**3. Calculate the lowest common multiple of (-38)/(-4) + 1/(-2) and g(4).
72
Let d = -8335829191/2760 - -3020228. Calculate the common denominator of d and 23/105.
19320
Let v = 16060 - 16048. Calculate the lowest common multiple of 2628 and v.
2628
Let v = 58 - 19. Suppose 5*i + w - 94 = 0, -4*w = 3*i - 31 - v. Let n(t) = 4*t - 50. Calculate the smallest common multiple of i and n(14).
18
Let s be -20 + 1 - (-2 - -6)*-1. Let y = 11 + s. Calculate the lowest common multiple of 2 and ((-1)/2)/(y - (-282)/72).
6
Let y(c) = c**3 + 5*c**2 + 2*c - 5. Suppose 81*t - 8018 = 43*t. Suppose -d - 205 + t = 0. What is the lowest common multiple of d and y(-4)?
6
Let l(s) = -s**2 + 9*s - 2. Let c be l(8). Suppose 2*i - 3*n - 172 = c*i, 4*i + 204 = 5*n. Let w = 156731/33 + -4750. Find the common denominator of i and w.
33
Let s = 0 + 0. Suppose s = -r - r - 4. Calculate the common denominator of -87/8 and ((-34)/(-2))/(r + 31).
232
Suppose -6453 = -5*l - 4*l. Suppose -7*d = -l + 17. Calculate the smallest common multiple of 100 and d.
100
Let c = -790157/42 - -18815. What is the common denominator of 2055/(-12)*(-12)/(-10)*(-21)/(-7749) and c?
1722
Suppose -756*z - 39240 = -865*z. Calculate the smallest common multiple of z and -1*20/3*-3.
360
Let u be (-56362)/10*105/504. Let s = u + 1175. Find the common denominator of s and -59/48.
48
Let i(d) be the second derivative of -d**4/12 + 2*d**3 + 58*d**2 - d - 3. What is the least common multiple of i(18) and 14?
56
Calculate the common denominator of -8 - ((-148185)/14508 - (-18)/8) and 97/38.
15314
Let c = 582/113 + -79447/18080. What is the common denominator of -51/110 and c?
1760
What is the lowest common multiple of (133/(-76))/(7/(-264)) and (-10)/(-25) + 819/15?
330
Let k(i) = -i**3 + 6*i**2 + 9*i - 11. Let u be k(8). Calculate the common denominator of ((-104)/(-96))/13*u and 56/3.
12
Let j = 100 + -44. Let l(q) = -7*q**2 - 475*q + 86. What is the lowest common multiple of j and l(-68)?
504
Let l(q) = 78*q - 1237. Calculate the least common multiple of 308 and l(16).
308
Let l = -67 - -67. Suppose l = -5*k + 2*c - 7 + 62, 5*k + 5*c = 20. Calculate the least common multiple of k and 4/20 - 328/(-10).
99
Let t(z) = -17*z + 20. Let g be t(8). Let c = g + 121. Suppose 133 = c*w - 17. What is the smallest common multiple of w and 30?
30
Let d = 1553/8 - 20. Let h = d - 164. Calculate the common denominator of -109/150 and h.
600
Let n = 170 - -191. Calculate the lowest common multiple of 54 and (-3)/((-114)/452) - (-38)/n.
108
Let g = 6 + -4. Suppose 0 = -g*l + 3*j - 5, -5*l + 3*j - 16 - 19 = 0. Calculate the smallest common multiple of 24 and (-2 - l)/((-5)/(-15)).
24
Let u(l) = -26*l - 150. What is the smallest common multiple of u(-6) and 7?
42
Let b = -159896275/598 - -267385. Calculate the common denominator of -2/115 and b.
2990
Calculate the common denominator of 119/50 and (55004/16080 - ((-14)/6)/(-7)) + -3.
6700
Let j = 102 + -99. Calculate the least common multiple of 33/8 + 3/(-24) + 30 and j.
102
Let k be ((-174)/(-60) + 2)/(3/26). Let h = k + -5207/165. Let x = h - 1735/154. What is the common denominator of x and -101/10?
70
Suppose 17*v - 13*v - 124 = 0. Suppose 8*c - 25 = v. Suppose -c*j = -126 + 28. What is the least common multiple of 24 and j?
168
Find the common denominator of (-342)/32319*(-1)/(-2) and 181/540.
3780
Let d = 21 + 9. Suppose d*m + 289 - 2929 = 0. What is the lowest common multiple of 6 and m?
264
Let c(h) = -h**2 + 4*h - 3. Let v be c(2). Let r be v - (2 + 8) - 1. Let p = 24 + r. Calculate the smallest common multiple of p and 2.
14
Suppose -3928*g + 3912*g + 8 = -8. What is the least common multiple of g and 32?
32
Let k = 4/21 + 1/105. Let y be (-9 + 2061/225)/((-2)/(-10)). Let l = k - y. Find the common denominator of -25/4 and l.
20
Let u = -1533 - -12359/8. Let n = 1903 - 907. Calculate the common denominator of u and n/(-16)*(-1)/6.
8
Suppose -12*t - 136*t + 30636 = 0. What is the least common multiple of t and 23/4 - 2/(-8)?
414
Suppose -23*k - 143 = 41. What is the smallest common multiple of k/(-5)*((-119)/(-14) + -1) and 22?
132
What is the common denominator of -21/130 and -16 + (-366734)/(-23751) - (-4)/14?
1170
Let s(v) = 3*v**2 + 14*v - 14. Let d be s(4). Calculate the common denominator of -93/4 and ((-175)/d - -2)/((-2)/(-411)).
12
Let v(b) = -9*b - 8. Suppose -29 = 2*o - 23. Let w be v(o). Calculate the common denominator of 6/5 and w/3*(-6)/(-22).
55
Let h be ((-1)/2)/((-1)/18). Calculate the lowest common multiple of 3 + 20/(-5 + h) and 44.
88
Let p = -41137/17003240 + 19/4127. Calculate the common denominator of 62/25 and p.
20600
Let f(i) = 54*i**2 - 58*i + 118. What is the smallest common multiple of 344 and f(3)?
1720
Let z(v) = 29*v - 58. Let k be z(4). Suppose -k*f + 1307 + 549 = 0. What is the least common multiple of 144 and f?
288
Let x = -74071/11 + 6734. What is the common denominator of x and -36/457?
5027
Let p = -7866391/32634 + 8916/37. Find the common denominator of p and 83/90.
4410
Let p = 29 - 43. Calculate the common denominator of 1 + -1 - (-40)/18 and (-6)/p - (-785)/(-84).
36
Let h = 1780 - 800. Find the common denominator of 1/(-3) + (-44)/102 and -5 + (h/(-25))/(-4).
85
Suppose -9*a + 399 = 4*u, -18*u + 16*u = -5*a - 133. What is the smallest common multiple of u and 720?
5040
Let t = 4 + -6. Let d = -2490/563 - 1538/1689. Find the common denominator of (-158)/60 + t/3 and d.
30
Suppose -5*k + 2*t - 4 = 26, 5*t = 2*k + 12. Find the common denominator of (0 - 3/(-975))/(k/(-555)) and -34/91.
910
Let k = -101 + 23. Calculate the lowest common multiple of 12 and (6 + k/15)/((-4)/(-1550)).
1860
Let t be 5/45*3*6. Let g be 2 - (t/7 + (-530610)/(-309498)). Let q = 759013/44214 + g. Find the common denominator of q and -77/15.
30
Let g be -151*(0 + -5 + 4). Suppose -23*b + 125 = -g. What is the lowest common multiple of 40 and b?
120
Let c be 14/(-3)*(327753/(-18))/61. Let d be (4593/2)/((-36)/22). Let n = c + d. Calculate the common denominator of n and 34/27.
108
Let o(z) = z**2 + 7*z + 8. Let c = 419 - 416. What is the smallest common multiple of (2/20*-8)/(c/(-15)) and o(-6)?
4
Let s = -6955/33 + 48017089/227832. What is the common denominator of s and -93/14?
48328
Let l = -39 - -84. Suppose 0 = -8*d + 13*d - l. Let u = 1760 + -1727. Calculate the least common multiple of d and u.
99
Suppose -6 = -2*s - 2*j, 8*s - 4*j - 28 = 7*s. Suppose -s*k + 186 = -54. Calculate the smallest common multiple of k and 24.
120
Suppose -u + 6*u - 5*i - 275 = 0, i - 181 = -3*u. Let n = 61 - u. Calculate the lowest common multiple of 10 and 0 - -3 - 8*(-2)/n.
110
Let n(j) = -191*j + 425. Calculate the least common multiple of 33 and n(-5).
15180
Let d = 137 - 139. Let s(n) = -859*n - 8. Let w be s(d). What is the common denominator of 64/33 and (6*(-