6). Suppose -73*t = -39*t - p. Calculate the lowest common multiple of 21 and t.
105
Let u be (-1)/(-2)*-2 - 39/(-13). Suppose p + 2 = -0, -52 = -u*y - 4*p. Suppose -20 = -j - h, -2*h + 10 = -0*h. What is the lowest common multiple of j and y?
30
Let q = 366 - 234. What is the least common multiple of 297 and q?
1188
Let b = 159244884/1105 + -144113. What is the common denominator of -143/60 and b?
13260
Calculate the common denominator of -2*(-6 + 524/64) - -3 and -107/340.
680
Let q = -5831 + 314999/54. Let d be (-15 - -10)*2*(1 - 2). Calculate the common denominator of (d/(-24))/((-72)/32) and q.
54
Let h = 11826 - 11238. Calculate the least common multiple of h and 4.
588
Let z = 8/2763 + 4678/10131. Calculate the common denominator of z and 17/90.
990
Let n = 5801 - 92743/16. Find the common denominator of 16/(-152) + (-1239)/1406 and n.
592
Let a be 2/(5/(-50)*2). Let v be ((a/4)/5)/((-6)/(-15)). Let x = 1 + v. What is the common denominator of 83/6 and x?
12
Let q = 5418 - 5398. Suppose -4*t = -120 - 20. Calculate the least common multiple of t and q.
140
Suppose 2*o + 2*m + 205 = 573, -5 = m. What is the lowest common multiple of o and 216?
1512
Let m(h) = 4*h + 3. Suppose 9950 = -22*i + 10016. Calculate the lowest common multiple of i and m(6).
27
Suppose -4*s + 57 = 15*s. Suppose 2*k - 4*u = -0*k + 36, 36 = 3*k + s*u. What is the smallest common multiple of 10 and k?
70
Let q(u) = -u**2 - 3*u - 8. Let x be q(-7). Calculate the lowest common multiple of (x/(-30))/(3/10) and (3/(-3))/((-1)/3).
12
Calculate the common denominator of -2 + (-57)/(-27) + (-4033)/(-26640) and (-30)/(-16) + (-1)/4.
80
Suppose 0 = -5*h - 8*k + 3*k - 1785, h - 2*k = -357. What is the common denominator of 3/7 and (-834)/h + -7 + 5?
119
Suppose 0 = 19*d - 0*d + 76. Calculate the least common multiple of 27 and 5 - ((-20)/(-35))/(d/28).
27
Let v = -4813 - -86737/18. What is the common denominator of v and 4/((-704)/(-70)) - 0/157?
792
Let a be ((-40)/18)/(-5)*699. Let q = a + -317. Calculate the common denominator of q and (-3)/(-15)*34/6.
15
Suppose 686 = -3*s - 5*j + 841, 5*s - 172 = 4*j. Let v(z) = z**2 + z - 8. What is the least common multiple of v(-6) and s?
440
Suppose -4*g - 16 = -2*q + 2, 10 = 2*q - 2*g. Let a be (-175)/q*4 - 1. Calculate the common denominator of a/(-30) + (-8)/(-10) and -61/8.
24
Find the common denominator of (-3886)/960 - 1/(-8 - 62/(-8)) and -51/8.
480
Let k = -818/45 - -139/10. Let s = -249 - -478. What is the common denominator of k and s*(-2)/(-60) + -3?
90
Let t = 5693 + -5384. What is the least common multiple of 9 and t?
927
Let d(w) = w**3 - 5*w**2 + 5*w. Let p(s) be the second derivative of 9*s**3/2 + 110*s**2 - 183*s. What is the least common multiple of d(4) and p(-8)?
4
Let i(a) = -a**2 + 12*a + 9. Let m be i(-9). Find the common denominator of (5*4/m)/((-8)/(-97)) and 109/42.
504
Suppose 464 = 4*l + 2*m, 0 = 5*l - 0*m + 5*m - 590. Let w be (-5 + (-1530)/(-6))*(-2)/(-5). Let v = l - w. What is the least common multiple of 30 and v?
210
Let s be (-1)/((-1 - 0)/15). Calculate the least common multiple of 9/s + 291*3/45 and 12.
60
Let k(q) = -2*q**3 + 49*q**2 - 87*q + 140. Calculate the least common multiple of 1000 and k(21).
7000
Let r = 338/777 + -2/37. Find the common denominator of r and (-48 + 49 - (-914)/(-684))*20/(-25).
1197
Let b(o) = 14*o**3 + 18*o**2 - 6*o - 89. Let x(g) = 5*g**3 + 6*g**2 - 2*g - 30. Let n(d) = -6*b(d) + 17*x(d). What is the least common multiple of n(6) and 12?
36
Suppose -4*s - 18 = -3*g - 2*s, -g + 11 = s. Let j(v) = -3*v**3 + 10 + 6*v**3 - g + v**3 - 2*v. Calculate the least common multiple of 27 and j(1).
108
Calculate the lowest common multiple of 21 and (4560/144)/(10/42).
399
Let a be 9/((-54)/(-114)) + -7. What is the lowest common multiple of a/18*270/4 and 85?
765
Let o = 67388 + -404267/6. Suppose 4*a + 2105 = -807. Let q = a + 23327/32. Find the common denominator of q and o.
96
Let y = 64489/9 - 7173. Let v(w) = 8 + 12*w**2 + 0*w**3 + 0*w**2 - 22*w - w**3. Find the common denominator of y and v(10).
9
Let b = -99/2 - -32. Let f be -2 + 1 + (-16653)/(-16224). Let m = -229/416 - f. What is the common denominator of m and b?
26
Let c be (-1 - (-1 - -3)) + 24/3. Suppose -c*x + 147 = -2*x. Let o = 53 - x. What is the smallest common multiple of 190 and o?
380
Let h = 708123 + -467360981/660. Find the common denominator of h and 109/6.
660
Let a(b) be the third derivative of 7*b**4/12 + 35*b**3/3 + 3*b**2 - 42. Calculate the smallest common multiple of a(-4) and 6.
42
Let n = -3708 + 4524. What is the smallest common multiple of 4 and n?
816
Let i = 175159/10578 - 701/41. Calculate the common denominator of 32/39 and i.
3354
Suppose -2*s = -0*r - 3*r - 4, -8 = 3*r - 4*s. Let v(a) = a**2 + 16. Let o be v(r). Suppose -o*q = -15*q - 12. Calculate the least common multiple of 5 and q.
60
Suppose -j = -3*c + 33, -3*j = -6*j - 9. Let a(o) = -8*o + 8. Let f(w) = -w. Let b(l) = a(l) - 5*f(l). What is the lowest common multiple of b(-4) and c?
20
Suppose -13*a - 11*a + 1326 = -11*a. What is the least common multiple of a and 516?
8772
Let y(d) = -d - 7. Let w be y(-12). Suppose -20 = 9*s - w*s, 3*h - 2*s - 46 = 0. Calculate the least common multiple of 57 and h.
228
Let w(c) = 2*c**3 - 33*c**2 + 4*c + 6. Let s be w(23). Let k be (-76640)/s + 7 - 6/10. Let x = k + -28/93. Calculate the common denominator of x and -37/3.
9
Let p(f) = 9*f**2 - 61*f + 15. Calculate the least common multiple of p(12) and 18.
3474
Let c be (-14)/10 - 14/(-35). Let y be ((232/(-3))/c)/((-260)/510). Let v = y + 3897/26. What is the common denominator of -64/9 and v?
234
Let z be ((-5)/(-3))/((-788)/(-3)). Let j = z - 4829/394. Find the common denominator of j and ((-17759)/2576 - 14/322)/((-3)/(-4)).
4
Suppose 122 = -17*a + 124 + 372. Let o = -7 + 29. What is the smallest common multiple of o and a?
22
Let r(h) = 1264*h - 98. Let a be r(41). Let p = 3931241/76 - a. Calculate the common denominator of -23/24 and p.
456
Let l be (-1)/(-2)*116301/(-7). Let m = l + 8301. Calculate the common denominator of m and 23/32.
224
Suppose -61*w + 32795 = -76395. Calculate the lowest common multiple of w and 2148.
10740
Let j = 4987018133/504208 + 541/31513. Let t = -9885 + j. Find the common denominator of t and ((-2)/25)/(2 - (-434)/(-215)).
80
Let n be (-1 - -24) + -1*(-6 - -2). Suppose 0 = -z + 3*d + 10, -5*z - 4*d = n - 77. What is the lowest common multiple of 14 and z?
70
Let l be (-143)/(-3) + 8 + 138/(-18). Calculate the common denominator of ((-97)/l)/((-36)/54) and 10/(-48)*142/15.
288
Let n = -3775 - -37689/10. Find the common denominator of 46/325 and n.
650
Find the common denominator of -91/2430 and (-9)/(-144)*20 + (-5)/(-4860)*-1265.
2430
Let m(i) = -i**2 + 80. Let h(t) = -t**2 - 9*t + 22. Let b be h(-11). Let v be m(b). Calculate the least common multiple of 2 and (v/15)/((-6)/(-9)).
8
Let z(q) = -q**3 - 22*q**2 - 126*q + 40. What is the least common multiple of 210 and z(-12)?
1680
Let c = -123 - -1471/12. Calculate the common denominator of c and 9581/402 - 4/(-3).
12
Let y(d) = -3*d + 17. Let b be y(8). Find the common denominator of -115/56 and 4/(b - -3) + 489/72.
168
Let i = -426 - -427. Calculate the least common multiple of (57 - 6) + (-2 - i) and 8.
48
Let o be 117/21 - (-6)/14. Suppose -3*x = -o*x + 3. Suppose 19*d = 6*d + 650. Calculate the lowest common multiple of x and d.
50
Let g = 90 - 87. Let c(q) = q**2 - 11*q + 17. What is the smallest common multiple of c(0) and g?
51
Let j = 2657/1892 + 142/473. Let q = 860921/351380 + -2/17569. Calculate the common denominator of q and j.
220
Suppose 0 = 7*b - 3*b + 96. Suppose 6*q - 12 = 9*q. Find the common denominator of 759/(-360) - q/b*-2 and -149/12.
120
Find the common denominator of 41/720 and (-8)/(-2) - (42 - 39)/90.
720
Let k be 1*(-4)/4*0. Suppose -48*u + 39*u + 36 = 0. Calculate the smallest common multiple of ((-3)/(-3))/(1 - k) and u.
4
Let j(p) = 6*p**2 - 29*p + 190. Calculate the least common multiple of j(5) and 975.
975
Let o(h) = -h**2 + h + 45. Calculate the smallest common multiple of 1/(-9) + (-13)/9*-7 and o(0).
90
Suppose -3*v + 3*c = -2724, 55*v + c - 4552 = 50*v. Calculate the lowest common multiple of v and 182.
910
Suppose 5*n 