?
440
Suppose 0*x = -2*x + s + 14, 5*x - s = 29. Let n = -11 - -30. Suppose 2*o - g = 5*o - n, -2*g - 17 = -5*o. Calculate the least common multiple of o and x.
5
Let u(i) be the second derivative of -4*i**3/3 - 54*i**2 + 47*i. Calculate the least common multiple of 24 and u(-15).
24
Suppose 0 = -5*n + 20, -4*n - 682 = -4*t - 690. What is the lowest common multiple of t and 678?
678
Let d(p) = -3*p + 52. Let n be d(16). Suppose 2*r + 3*m - 40 = -8, m = n. Find the common denominator of (-1934)/(-360) + 0 + r/(-45) and -67/6.
60
Suppose 5*d - 4*r - 2144 = 0, -2*d + 426 + 426 = 4*r. What is the least common multiple of 856 and d?
856
Let n(i) = -i. Let w be n(1). Let s be 8/6*15*w. What is the common denominator of -58/15 and 170/s*4/33?
165
Let q = 15917 + -557049/35. What is the common denominator of 1*(-6)/(-120)*-107 - -3 and q?
140
Let k = 18440 - 1327817/72. Calculate the common denominator of k and -3*(-2)/(-27) - 940/(-288).
72
Calculate the common denominator of 27/80 and (-14027)/(-3652) - 33/12.
880
Let z(c) = -4*c**3 + 4*c**2 + 14*c - 20. Let x be z(15). Let a = 483944/39 + x. What is the common denominator of 23/7 and a?
273
Let r = -713 - -729. What is the smallest common multiple of r and 122?
976
Let u = -12141 + 2364. Let k = -586633/60 - u. Calculate the common denominator of 1 + (-297)/24 + -1 and k.
120
Let z = -31153/39228 - -19/934. What is the common denominator of -85/1386 and z?
2772
Let d(o) = -o**3 + 3*o**2 - 3*o + 1. Let g be d(2). Let l be (3/g - 21)/(18/(-472)). Let k = l + -612. Calculate the common denominator of 47/11 and k.
33
Calculate the common denominator of 366/(-189)*(-16 - (-10890)/684) and 56/171.
1197
Let j(r) = 11*r**2 + 2*r + 1. Suppose 4*y + k - 15 - 3 = 0, k - 2 = 0. What is the least common multiple of j(-1) and (-11)/(-2 - (-5 + y))?
110
Let o = -2455695179/2601 + 944135. Calculate the common denominator of 7/867 and o.
2601
Let t = 8396/9 - 932. Let y be (-2)/7 + 160/70. Calculate the common denominator of t and (-676)/168*(y - 3).
126
Let k(j) = -72*j. Let t be k(1). Let f = t + 106. Let y = -45 - -53. What is the lowest common multiple of y and f?
136
Let f = 258 - 1814/7. Suppose h = -4*o + 171, 28*o - 24*o - 3*h - 159 = 0. Find the common denominator of o and f.
7
Let q(k) = -k**3 + 7*k**2 + 42*k + 28. Let b be q(11). Calculate the common denominator of (145/9 + -2)*(-9)/b and 1 + -1 + 123/42.
42
Let q = -41384/20757 - -369/187. What is the common denominator of -91/132 and q?
4884
Suppose -2623 = 120*a - 22063. Calculate the least common multiple of a and 2538.
7614
Calculate the lowest common multiple of -117*((-5)/(-10) + 330/(-36)) and 39.
1014
Suppose 3*i - 5*k = 19, 3*k = 5*k + 10. Let h = 59 - 1567/26. What is the common denominator of (-2)/(-5)*(0 + i)/(-2) and h?
130
Suppose -5*w + 29 = -221. Suppose 0*u + 22*z + 7 = -3*u, 0 = -u - 4*z + 1. What is the least common multiple of w and u?
50
Let l(n) = -n**2 + 5*n. Let i be l(5). Suppose -4*v + v + 9 = i. Calculate the smallest common multiple of (v + -10)*-2*1 and 4.
28
Suppose 116 + 79 = -5*h. Calculate the common denominator of (-11)/((-110)/4) - (-21)/2 and ((-20)/(-165))/(1/h).
110
Let g(c) be the first derivative of 5*c**2 - 20*c + 38. Calculate the smallest common multiple of g(4) and 35.
140
Let f be 0/(4/(-6)*(-18)/(-4)). Find the common denominator of 173/(-28) - 2/8 and (142/(-4) + f)/(27/(-6)).
63
Let i be 5/(0 + (2 - 4) + 3). Suppose -i*z + z - 328 = -5*y, 246 = 4*y + 5*z. Find the common denominator of ((-106)/(-20))/(y/(-20) - -2) and 45/2.
12
Suppose -51*k - 4*m = -55*k + 34440, 5*m = -10. What is the smallest common multiple of k and 16?
8608
Find the common denominator of 101/216 and 790/316*((-11)/3690 + 0).
8856
Let s = -728 - -730. Let n = 32 + -8. What is the lowest common multiple of s and n?
24
Let k = 1946412869/2070 + -940296. What is the common denominator of 29/25 and k?
10350
Let j(y) = -y**3 - 2*y**2 + 3*y + 45. Let d be j(0). Calculate the common denominator of -53/50 and d/(-500)*(-62)/(-3).
50
Let k be ((-12)/21)/((-10)/35). What is the common denominator of (-1286)/(-532) + 18/(-63) and -262*(-3)/(-60) + k?
190
Let o = -128 - -130. Suppose -o*x - f - 13 = 32, 3*x - 4*f + 73 = 0. What is the common denominator of x and -67/32?
32
Let x(t) = t**3 + 4*t**2 + t. Suppose 37 = -5*a + 4*h + 151, -4*a + 91 = -3*h. What is the least common multiple of a and x(-3)?
66
Suppose 8*w = 16*w - 2224. Let q = 288 - w. What is the smallest common multiple of q and 10?
10
Let l(s) = -s**2 + 8*s + 4. Let t(z) = 31*z**2 + 2*z + 2. Let x be t(-1). Suppose -3*v = 1 - x. What is the least common multiple of v and l(7)?
110
Let h = -37412 - -37444. Calculate the smallest common multiple of h and 12320.
12320
Let n be (5/(-2))/(18/(-558)). Let v = -485/6 + n. Calculate the common denominator of -115/6 and v.
6
Suppose -4*g = 5*m - 1663 + 579, -3*g - 5*m + 818 = 0. What is the least common multiple of g and 760?
5320
Let r be (-3)/(-2) + -2 + 6031/6142. Let p = 7037/996 - r. What is the common denominator of p and 97/42?
84
Let p be 2/12 + 33/18. Let v be (-1 - -2)*34/p. Let w = v - 7. What is the smallest common multiple of w and 2?
10
Suppose m - 5*r - 2 + 3 = 0, -2*m + 5*r - 22 = 0. Let d(l) = l + 22. Let a be d(m). Calculate the least common multiple of 6 and 1 - (a - 6*6).
36
Let h(r) be the third derivative of r**4/24 + 8*r**3/3 - 37*r**2 + 2. What is the lowest common multiple of 56 and h(4)?
280
Let k be 2 + (-10)/8 + 66782/(-72). Let b = -919 - k. Calculate the common denominator of -29/90 and b.
90
Let u(c) = -3*c**2 - 10*c + 56. Let z be u(8). Let v = -7162/483 - 5/966. Calculate the common denominator of 3 - (-52)/(-16) - (-114)/z and v.
18
Suppose 5*n - 33796 = n. Let f = n + -126818/15. Calculate the common denominator of -7/15 and f.
15
Let x(j) = j + 4. Let l be x(20). Let d = l + -25. What is the common denominator of ((-742)/80)/(-7)*d and -45/8?
40
Let h = -80 - -85. Suppose -z = z - 3*l - 37, h*z = -4*l + 58. What is the least common multiple of (-8)/(-12) - 56/(-6) and z?
70
Let k be 3/(-4)*(21354/(-462) + 7). Let q = k - 218/7. Find the common denominator of -59/74 and q.
814
Let m = -31 - -34. Let p be -7*(-3)/(-6 + m). Calculate the smallest common multiple of ((-20)/p)/((-8)/(-28)) and 4.
20
Let f be 12 + (-1120698008)/98096640 + 1/5. Let o = 6/12773 + f. Calculate the common denominator of -23/2 and o.
192
Suppose 2*z = -5*c + 22, 5*z - 2 = 2*c - 5. Let x be z*21/(-3)*33607/(-84). Let o = x + -2805. What is the common denominator of 97/12 and o?
12
Let s = 21821/10872 - 236/453. Calculate the common denominator of 4 + 1 + -2 + (-179)/36 and s.
72
Let p(o) be the first derivative of -5*o**2/2 - 3*o - 660. Suppose 2*i + 22 = 4*h - 4, 4*i - 8 = -4*h. Calculate the lowest common multiple of 14 and p(i).
84
Let x(v) = -v**3 - 2*v**2 - v. Suppose 2*s - 4*z = s + 5, 5 = 5*z. Calculate the smallest common multiple of x(-2) and 4/12*s + 4.
14
What is the smallest common multiple of (245/(-30)*-15)/(1284/(-144) + 9) and 150?
7350
Let r = 6101031362/4293 - 1421158. What is the common denominator of r and -65/21?
30051
Let h(v) = -v**2 + 2*v + 30. Let b be h(8). Calculate the common denominator of b/112*5/10*36 and 138/32*(0 + -1).
112
Suppose -508 = -3*l - 4*b, 0 = l + 2*l - 5*b - 553. Let h = 124 - l. Find the common denominator of -1 + 10*h/(-176) + -4 and 39/2.
22
Let u be 34/(-4)*(7 + -5). Let d(g) = -g - 5. Let v be d(u). Suppose 15*l - 16*l = -v. Calculate the least common multiple of 4 and l.
12
Let p(c) = -10*c - 128. Suppose 5*y - 15 = 0, -62 = -0*m + 5*m + y. What is the smallest common multiple of 98 and p(m)?
98
Let v = -2802/5 - -17017/30. What is the common denominator of 117/98 and v?
294
Suppose -48 = -4*t - 56. Calculate the common denominator of (t/4)/((-100)/(-122)) and 75/2.
100
Suppose -6*z + 25 - 7 = 0. Calculate the lowest common multiple of 124/4 + (-8 - 0)/(-4) and 1/z + (-24)/(-9).
33
Suppose -5*i = 5*p - 3630, -2*i - 4*p = -870 - 570. Calculate the lowest common multiple of 4 and i.
732
Let i = -9324 + 1062977/114. Find the common denominator of i and -109/1368.
1368
Suppose 4*i = 2*r + 1606, 0 = 5*i - 0*r - 4*r - 2006. Let z be (-3)/(5 - i/81). What is the common denominator of 67/6