lculate the smallest common multiple of 3350 and a(3).
30150
Suppose -r + 14 = -3*j - 39, -3*r = j - 109. Let c be ((-1)/2)/((-1)/76). Let q = c + r. Calculate the lowest common multiple of q and 8.
152
Let c(t) = -2*t + 19. Let n be c(6). Suppose 4*v - 15 = -n. Calculate the lowest common multiple of 24 and 6/(48/21 - v).
168
Let c(m) = 3*m**2 - 89*m + 748. Calculate the lowest common multiple of 1 and c(10).
158
Suppose -5*q - 133 = 517. What is the common denominator of -81/40 and (-48)/(-40)*q/9?
120
Suppose u - 5*i - 30 = 0, 6*i = 5*u + 2*i - 87. Suppose -g - 3*k - 7 = -k, -u = 3*k. What is the smallest common multiple of 4 and g?
12
Let p(n) = 19*n + 7. Calculate the least common multiple of p(6) and 90/54 - (-4)/(-4)*(-8)/(-12).
121
Let v(s) = 5*s + 82. Suppose 32 = -2*l - x, -2*l + 5*x - x = 32. Let j(r) = -r**2 - 6*r - 1. What is the least common multiple of j(-4) and v(l)?
14
Let c(q) = -q**2 - q + 13. Let o be c(-6). Let k(f) = 2*f + 46. Let g be k(o). Suppose 108 = g*l - 9*l. Calculate the lowest common multiple of 24 and l.
72
Suppose 2*d + 59 + 239 = 2*x, -3*d - 452 = -4*x. Find the common denominator of ((-9)/d)/((-1)/55) and -41/32.
32
Let z(d) = 42*d + 1287. Calculate the least common multiple of 333 and z(-28).
333
Find the common denominator of 2/55 + 92848/(-12320) and -39/560.
560
Let k = -95/4 + 449/28. Calculate the common denominator of k and ((-2)/25)/((-48)/1570).
420
Let a(d) = d**3 - 17*d**2 + 2. Let n be a(17). Suppose -8*c - n*c = 70. Let i(q) = -q**3 - 5*q**2 + 12*q - 8. What is the least common multiple of 6 and i(c)?
6
Let b = -424 - -859. Suppose -4*i = 5*f + 485, -b = 4*i - 0*i - 5*f. What is the common denominator of 47/5 and 174/110 + 46/i?
55
Suppose -4*l = 3*c - 44, -l + 5*l = -4*c + 48. Find the common denominator of l + -442*(-1)/(-32) and -11/10.
80
Suppose 3*h - 5*q + 1 = 0, -4*h + 3*q - 16 = -0*h. Let l(y) = 5 + 0 + 24 + y - 1. What is the smallest common multiple of l(h) and 12?
84
Suppose -w + 5*w + 120 = 0. Calculate the common denominator of -163/30 and 35/7 - (-69)/w.
30
Let v be -4 + 3*(0 - -1). What is the common denominator of v + (172/32 - 0) and (-146)/(-20)*-1 - 2?
40
Let o be (-410)/18 + 2/(-9). Let w(r) = -23*r - 45. Calculate the least common multiple of 16 and w(o).
1936
Let k = -433247 + 501266748/1157. Find the common denominator of -13/9 and k.
10413
Suppose 14*c + 18 = -10. Calculate the common denominator of -37/4 and (3627/108)/(-13) + 2/c.
12
Suppose 17*d - 2*t + 6922 = 22*d, 4 = -t. What is the lowest common multiple of d and 9?
1386
Let o(d) be the third derivative of d**5/60 + 23*d**4/24 + 53*d**3 - 62*d**2 - 2*d. What is the lowest common multiple of 6 and o(-28)?
1374
Let g = -19878057875/7934 - -2505427. Find the common denominator of g and -34/11.
87274
Suppose -8*q - 7 + 7 = 0. Suppose 5*o - 215 + 575 = q. Calculate the common denominator of 21/16 and 13/(-28) + o/(-126).
112
Let h = 587 - 339. What is the lowest common multiple of 4 and 24/(-18) + h/6?
40
Let u be (186/(-18))/(6/252). Let j = u - -484. What is the smallest common multiple of 30 and j?
150
Let f = -2553435191/3474 + 735013. Calculate the common denominator of 113/3860 and f.
34740
Let i(n) = n**3 - 10*n**2 + 24*n - 9. Let a be i(8). Suppose -73 = -8*j + a. Let c = 194 + -174. Calculate the least common multiple of j and c.
80
Suppose b + 450 = 16*b. Let q = -38 - -74. Suppose 2*l = 3*a - q, -2*a - 4*l = l - 43. What is the smallest common multiple of b and a?
210
Let k = 584098 - 1484777065/2542. Find the common denominator of k and 85/14.
17794
Let i = 5273/2008 - 1/1004. Find the common denominator of -127/790 and i.
3160
Let r = -3778 - -8413. Let p = r + -69494/15. What is the common denominator of p and 4/(-14) - (-2270)/105?
15
Let u = -272331/43820 - -3/6260. Calculate the common denominator of u and 0 + (-5 - 102/(-42)).
14
Let a = -1437 + 1449. Calculate the lowest common multiple of 140 and a.
420
Suppose a - i = -23 - 5, 0 = -5*i + 15. Let g = a - -82. Calculate the common denominator of -28 and (g/(-27))/((-6)/12).
9
Let n be 4*(-6)/60 + 377/5. Suppose 2*u - n = -6*z + z, z + u = 12. Suppose z*r - 60 = 13*r. Calculate the smallest common multiple of r and 6.
30
Let x(i) = 25*i + 3. Let u be x(0). Let z = -541/14 + 14815/364. Calculate the common denominator of z and u + ((-26469)/(-180))/(-17).
260
Let q(o) be the first derivative of o**3/3 - 6*o**2 - 14*o - 239. Calculate the lowest common multiple of q(14) and (71 + 1)*4/6.
336
Let r = -77115/47998 - -152/103. Let t = -10309/4 + 2597. Calculate the common denominator of t and r.
932
Let u = -695795 - -2971044547/4270. Find the common denominator of -35/6 and u.
12810
Suppose 138*i = 143*i - 2570. Let j = 952181/24 + -39668. What is the common denominator of j and i/84 + 21/(147/(-2))?
24
Let k be ((-12)/(-10) + -2)*60/8. Calculate the smallest common multiple of 108 and ((-54)/12 + 4)*k.
108
Let w = -6/6991 + 90391/97174900. Let n = w + 161237/41700. What is the common denominator of 73/30 and n?
30
Let u(k) be the second derivative of k**4/12 - 8*k**3/3 + 73*k**2/2 - 25*k. What is the smallest common multiple of 24/(-14)*(-105)/10 and u(7)?
90
Let c be 4393/8 - (-75)/25. Let j = c - 542. What is the common denominator of j and -13/34?
136
Let p(n) = -n**3 + 2*n + 1. Let t be p(-2). Suppose 1 - 11 = -2*w, -t*i + w + 205 = 0. What is the lowest common multiple of i and 610/40 + -9 - (-3)/(-2*6)?
42
Let w = 155 + -354. Let g = -1465 - w. Calculate the common denominator of 6/(-33) - g/792 and -89/6.
12
Let q = -6863/21 - -354797/1092. Calculate the common denominator of 2/8 + (-591)/36 and q.
156
Calculate the common denominator of -4/117 and ((-120)/(-32))/15 - ((-979)/(-1196))/11.
5382
Let y(z) = 40*z**2 + z + 2. Let q be y(-2). Suppose -r + 5*r = -q. Find the common denominator of 2/(-10) - 1/(r/303) and -45/14.
56
Suppose -9*i = 16 - 7. Let l(q) = -36*q**3 + 3*q + 3. Suppose -5*h + 3*k = -16 - 16, h + 4*k - 11 = 0. Calculate the lowest common multiple of l(i) and h.
252
Let t = 90 + -63. Let y be 1/(0 + -1)*(10 - 10). Suppose 5*j + 3*v = 18, -4*v - 16 = -y*v. Calculate the least common multiple of t and j.
54
Suppose 0 = 5*d - 3*q - 2277, -80*q = d - 75*q - 461. Calculate the least common multiple of d and 4.
456
Suppose 55*l - 6 = 57*l. What is the common denominator of 492/160*-2*2/l and (-3)/(1 - 14/34)?
10
Find the common denominator of 31/680 and 99402/(-14280) + (309/45 - 6/(-45)).
4760
Let b = 564 - 1023. What is the common denominator of b/(-162)*(-3)/20 and -61/4?
40
Calculate the least common multiple of (21 + (-78)/13)*1/1 and 6.
30
Let q = 141716503429241/13870 + -10217484012. Let k = q - 994/73. What is the common denominator of k and -71/8?
760
Suppose 8 + 0 = 4*x. Suppose 0 = 6*f + 32 - 50. Let p(z) = 9*z - 5. What is the lowest common multiple of x and p(f)?
22
Let j(v) = -12*v + 54. Suppose 3*q - q - 4*q = 0. What is the smallest common multiple of 22 and j(q)?
594
Let b be 10/7*(3 + -10 + 0). Let g(i) = i**3 - 7*i**2 + 5*i + 8. Let w be g(6). Let t = w - b. Calculate the smallest common multiple of t and 4.
12
Calculate the common denominator of -97/31730 and (8/126 - (-46)/(-161))/(20/(-215)).
285570
What is the lowest common multiple of 75 and (-403488)/(-90) + 18 + 6/(-5)?
4500
Let l = 9 + -63. Calculate the common denominator of (1500/8)/3*(4 + (-100)/24) and (-7)/20*105/l.
72
Let j be 1 - (69988/4368)/(-1). Let m = j - 370/21. Calculate the common denominator of m and 11/24.
312
Let d = 55 + -25. Let k = -74549 + 74609. What is the smallest common multiple of d and k?
60
Let g(r) = 4*r + 16. Let p be g(-3). Suppose -5 - 11 = -p*k. What is the lowest common multiple of k and 44?
44
What is the smallest common multiple of 12386 and 2170/30 - 54 - (-10)/6?
123860
Suppose -3*y + 14*l - 15*l - 80 = 0, -5*l - 62 = 2*y. Let p(x) = -x**2 - 26*x + 63. What is the least common multiple of 42 and p(y)?
126
Let p be 12/10 + (-4)/20 - 62. Let q = -79 + 77. Find the common denominator of q and -2*(p/(-20) - (-7 - -8)).
10
Let c = 14997 - 14893. What is the lowest common multiple of 504 and c?
6552
Let h(r) = -2*r**3 - 49*r**2 + 25*r + 6. Let d be h(-25). Find the common denominator of ((-297)/3600)/(d/(-24)) and -49/20.
100
