d 5?
195
Let k = -42/653 + 44891/626880. Calculate the common denominator of k and -1/768.
3840
Suppose -5192 = -j - 5*l, 25834 = 246*j - 241*j + 4*l. Calculate the lowest common multiple of 20 and j.
51620
Let s be 7*-1 + (-28)/(-21)*3. Calculate the common denominator of (s/9)/((-32)/(-552)) and 89/20.
20
Suppose -2*p + 69 = -g, -5*p + 2*g + 57 + 117 = 0. Let k = 340 + -300. What is the lowest common multiple of p and k?
360
Let i = 56 + -47. Find the common denominator of 192/(-21) + i - (-179)/77 and 48/121.
121
Let p(n) = -26*n + 690. What is the smallest common multiple of 12 and p(25)?
120
Let r = -150 + 402. Suppose 95*h = 104*h - r. What is the smallest common multiple of 16 and h?
112
Suppose -156*f + 165*f = 86 + 31. Calculate the lowest common multiple of 335 and f.
4355
Let s be (((-40955)/2)/5)/((-1155)/(-363)). Let g = s - -8938/7. What is the common denominator of g and -20?
10
Let c = -128 - -375. Suppose 24*p - c = 5*p. Suppose a = 3, 0*t + 15 = 5*t - 5*a. Calculate the smallest common multiple of t and p.
78
Let x = -432385/1309896 - -203/2599. Calculate the common denominator of x and -65/714.
8568
Let d = 19687 - 19623. What is the least common multiple of 2168 and d?
17344
Calculate the common denominator of 240/540*(-105)/(-3035) and 41/10.
18210
Let c(o) = -12*o + 2*o + 5*o + 0*o - 11. What is the least common multiple of c(-7) and 44?
264
Suppose 0*p - 3*p + 36 = 0. Suppose 17*h - p = 13*h. Suppose -y - 18 = -h*y. Calculate the smallest common multiple of y and 13.
117
Let n(y) = -y**2 - 32*y + 70. Let v(s) = s**2 - 17*s + 38. What is the lowest common multiple of n(-32) and v(16)?
770
What is the smallest common multiple of ((-67)/134)/((2/1500)/(-1)) and 500?
1500
Let w be (-780)/(-1611)*2598/(-748). Let q = 84117/6615482 - 14/1087. Let j = q + w. Calculate the common denominator of j and 7/12.
132
Let v = 218 - 138. Find the common denominator of (-183)/v*(-5)/6 and 363/(-220) - (3 + -3).
160
Suppose -569 = 7*f - 2837. Let w = f + -267. Calculate the smallest common multiple of w and 9.
171
What is the least common multiple of ((-204)/234)/17 + 3904/78 and 40?
200
Suppose 4*k = -4*b + 1740, 2*b + 2*k = -k + 870. What is the lowest common multiple of b and 20?
1740
Calculate the common denominator of (273/162)/13*10575/(-2100) and 11/96.
288
Find the common denominator of 32/341 and (-3 + 1)*(6 - (-16331)/(-2604)).
2046
Suppose -33*y = -0*y + 297. Let z(d) be the third derivative of -d**5/30 - 23*d**4/24 - 5*d**3/2 + 2*d**2. Calculate the smallest common multiple of 6 and z(y).
30
Suppose -1324 = 3*y + 4*r - 1650, 0 = -3*y - r + 347. What is the least common multiple of 57 and y?
6726
Let f = -2588 + 2594. Calculate the least common multiple of f and 604.
1812
Let g(s) = 5*s**2 - 22*s - 468. What is the least common multiple of 672 and g(18)?
6048
Suppose 70*j - 148*j = -6084. What is the least common multiple of j and 312?
312
Suppose -11*f - 732 = -12*f + 5*l, 0 = -f - 5*l + 702. What is the smallest common multiple of 2151 and f?
2151
Let d(s) = -35*s**3 + 2*s**2 + 3*s + 2. Suppose 0 = 5*c - 34 + 39. Calculate the smallest common multiple of 24 and d(c).
72
Let s(l) = -3*l + 18. Suppose 5*z - 29 = -2*r, -r - 2*r + 16 = 2*z. What is the lowest common multiple of 66 and s(z)?
66
Let r = -5067571899/4000 + 1266893. Find the common denominator of r and 5/22.
44000
Let l be (16/(-7) - -2)/(1/(-14)). Let h(n) = n**2 + 7*n - 28. What is the lowest common multiple of h(l) and (-62)/(-8) + (-1)/(-4)?
16
Suppose -174*b + 179*b - 3*x = 63, 0 = -3*b + 5*x + 57. What is the least common multiple of 321 and b?
963
Let i(l) = 21*l + 417. What is the least common multiple of i(-19) and 189?
378
Suppose -14 = -7*l + 28. Suppose -10 = h - 5*u, 5*h - 85 = 4*u - 6*u. Calculate the lowest common multiple of l and h.
30
Let n(w) = w**3 - 8*w**2 - 9*w + 9. Let p(m) = -45*m + 1881. Calculate the least common multiple of p(40) and n(9).
81
Let m = 889 + -349. Suppose 0*q + m = -2*i - 4*q, -q = -5. Calculate the least common multiple of i/(-126) - (-4)/(-18) and 16.
16
Let p = 14738 - 14722. What is the least common multiple of p and 8064?
8064
Let h(a) = 2*a + 9. Let u(c) = -5*c - 30. Let i(g) = -2*h(g) - u(g). Let n be -3*((-3)/1 + 1). What is the least common multiple of 54 and i(n)?
54
Let l(k) = k**3 + 3*k**2 - 4*k - 2. Suppose -52 = p - 54. Calculate the smallest common multiple of 25 and l(p).
50
Suppose -4*x - 1225 = -5*a - 2*x, -x + 499 = 2*a. Let i = a - 241. Calculate the lowest common multiple of 33 and i.
66
Let z = 882913055/2142 + -412191. What is the common denominator of z and -61/612?
4284
Let d = 283 + -355. Calculate the common denominator of 119/258 and (-6)/d*2 + 14/(-18).
774
Let k = 7556 + -7096. Calculate the smallest common multiple of 552 and k.
2760
Let z be 7 + 0*(2 - 1). Suppose 0 = -4*n + 33 + z. Suppose 41 = 4*x + 5*m, 0*m - m - 59 = -4*x. What is the smallest common multiple of n and x?
70
Let l be ((-93)/(-4))/(2 + 15/(-12)). Calculate the smallest common multiple of 1 and (l - 0) + 5/(1 + 4).
32
Suppose 488 = 3*i + 4*q, 4*q - 8*q = -3*i + 520. Calculate the smallest common multiple of 840 and i.
840
Let q = -484637/272570 + 896/485. Find the common denominator of q and 39/1967.
3934
Let s = 2111 + -2077. What is the least common multiple of 29 and s?
986
Let o(u) = 6*u**2. Let y(f) = 141*f - 834. What is the lowest common multiple of o(2) and y(6)?
24
Calculate the lowest common multiple of (-168)/(-30) + 2/5 and 736.
2208
Suppose 0 = -5*q + y + 57, -15 = -q + 3*y - y. Suppose -2*r - q*r = -299. Suppose 0 = n - r + 5. Calculate the least common multiple of n and 10.
90
Let i be 1/1 + -2 + -11 + -5. Calculate the least common multiple of 40 and (i + 11)*-2*(-2)/(-2).
120
Suppose 3*s + 10*m = 5*m - 6, 3*s + 6 = -4*m. What is the least common multiple of 4 - -1*(s + 28) and 51?
510
Suppose -4301*a - 26 - 868 = -4307*a. Let v = 484 + -338. Suppose a*o - v*o - 18 = 0. What is the lowest common multiple of 4 and o?
12
Suppose -7*y + 255 = -5*y + 3*t, -3 = 3*t. What is the least common multiple of 36 and y?
1548
Calculate the common denominator of ((-2)/(-12))/((-26)/3874) and (6/(-28))/((-24)/44).
84
Let n = 25271/543214 - 173/2254. Calculate the common denominator of n and 1/1928.
13496
What is the common denominator of -123/2156 and (-4*(-6)/(-168))/(3920/(-3948))?
10780
Let x(b) be the first derivative of -2*b**3/3 - 71*b**2/2 + 29*b - 600. Let s = 21 - 5. What is the least common multiple of x(-35) and s?
64
Suppose 0 = 3*a + 5*r - 170, -320 = 3*a - 8*a - r. Let z = a - 49. Calculate the lowest common multiple of z and 8.
16
Let o be (2/(-1) - -11)*(-24)/(-18). Suppose o = 3*y - 5*j - 103, -y = -5*j - 55. Calculate the lowest common multiple of 30 and y.
30
Let r = 35491 - 35293. What is the lowest common multiple of r and 1344?
44352
Suppose -81*o = -84*o + 5*m + 365, 4*m = 4*o - 468. Calculate the lowest common multiple of 528 and o.
2640
Suppose 13*v = -15*v - 11004. Find the common denominator of 37/18 and v/90 + (-2)/12 + 0.
90
Let x be (466/108)/(4592/1024). Let a be (50/(-107625))/(6/10). Let u = x - a. Find the common denominator of u and -67/3.
27
Let u = 128 - 120. Let m(w) = -w**2 - 12*w - 5. Let h be m(-11). Calculate the lowest common multiple of ((-20)/8 + 3/h)*-10 and u.
40
Let q = 197/2 - 238/3. Let r = 615007 - 2460113/4. Find the common denominator of r and q.
12
Suppose t = 3, -138*t + 139*t = 5*x - 5307. What is the lowest common multiple of 1180 and x?
10620
Let g = -1/1147853 - 23435714688/14922089. Suppose -3*m + 3*u + 1430 = 6134, -5*m = 4*u + 7885. Let x = m - g. Calculate the common denominator of -29/9 and x.
117
Let c = -500679 + 15017131/30. Let z = c + 215/2. Calculate the common denominator of z and -16/27.
135
Let d be ((-16774)/(-16) + 3)*76/(-6). Let m = 13307 + d. Find the common denominator of m and (-8)/16 + 130/32.
48
Let y(n) = -n**2 - 20*n - 89. Let h be y(-7). Suppose -h*r - 3*m = 2*m - 135, 2*m + 210 = 4*r. What is the smallest common multiple of 25 and r?
275
Let n(g) = -g**3 + 6*g**2 - 3*g - 2. Let x = 29 - 24. Let i = -13 - -33. What is the lowest common multiple of n(x) and i?
40
Suppose -96*w + 99*w = -45. Calculate the common denominator of 5 + 85/w - (-1