13 = 0. Calculate the least common multiple of 30 and x.
30
Let d = -16655153/216 + 77107. Calculate the common denominator of d and -89/60.
1080
Let a(f) = -f**2 - 4*f - 1. Let k be a(-5). What is the lowest common multiple of 22 and k/9*6 - -12?
88
Let f = -24 - -176. Suppose -21*w = 6*w - 135. What is the lowest common multiple of w and f?
760
Calculate the lowest common multiple of -8*(-18)/(-72) + 2*53 and 10.
520
Let c = -4067/16 + 254. What is the common denominator of c and -45/32?
32
Let o = 1197 + -1037. What is the least common multiple of 128 and o?
640
Suppose 96*d - 42588 = 18*d. Calculate the least common multiple of 24 and d.
2184
Suppose -45 - 147 = -8*d. Calculate the least common multiple of d and 30.
120
Calculate the common denominator of 65/94 and ((-4)/(144/(-546)))/1.
282
Let x(q) = -q**3 - 8*q**2 + 25*q - 18. Calculate the lowest common multiple of x(-11) and 10.
70
Suppose 3*w + 5*l - 28 = w, 0 = -3*w - 5*l + 47. Let i = -159/13 + 1051/104. Find the common denominator of i and w/(-16) - (-24)/6.
16
Let v(l) = l**2 + 3*l - 152. What is the lowest common multiple of v(-14) and 22/(-3)*(-3)/1?
22
Let o = -534 + 561. Calculate the common denominator of 1/3 + (-777)/198 and o.
22
Let h be 63/5 + (-30)/50. Suppose 6 = -2*o + h. Suppose -r - 44 = -5*j, 4*r = o*j + 3*r - 28. What is the least common multiple of j and 10?
40
Let b = 270 - 264. What is the smallest common multiple of 100 and b?
300
Let m(l) = l**3 - 6*l**2 + 3*l - 9. What is the lowest common multiple of m(6) and (-5)/40 - (-418)/16?
234
Let h = 480557/20 + -24023. Find the common denominator of h and -13/12.
60
Let x(w) = -w**3 + 3*w + 2. Let z be x(2). Suppose z = 8*o - 270 - 26. Calculate the common denominator of o and 1/(-3) + (-328)/(-66).
11
What is the common denominator of ((-20)/14)/(300/2275) and 127/30?
30
Suppose -5*y + 9*y - 248 = p, -201 = -3*y - 3*p. Calculate the smallest common multiple of y and 18.
126
Suppose 0*k + 116 = 5*w - k, 0 = 4*w + 2*k - 104. Let a(s) = 137*s + 551. Calculate the smallest common multiple of a(-4) and w.
24
Let t be (-45)/55*(21203/3 + 0). Let l = 5787 + t. What is the common denominator of ((-16)/(-6))/((-22)/(-9)) and l?
11
Let p = 2/2319 - -118265/4638. Let a = -65789/33682 - 2/1531. Calculate the common denominator of a and p.
22
Suppose -2*k = d - 12 - 28, 3*k = 0. Suppose -l = 3*l - d. Calculate the common denominator of 17/7 and (8/40)/((-16)/l).
56
Suppose 3*l - 8*l + 10 = 0. Let z(r) = -l + 8*r + 1 + 5 - 3. What is the smallest common multiple of 8 and z(1)?
72
Let d = -315 - -327. Calculate the common denominator of 73/130 and d.
130
Calculate the common denominator of 31/55 and (-4)/2400*723 - 1/(-8).
275
Suppose 4*t + 57 = -15. Let o = 24 + t. Find the common denominator of 47/6 and o/8*3090/495.
66
Let d be 55/(-22) + 2/(-4). Let o = -3 - -6. What is the lowest common multiple of (-14)/d*(-39)/(-26) and o?
21
Let i = 866610214071/2078 - 417040568. Let y = 2/1039 - i. Calculate the common denominator of 7/2 and y.
2
Let t = -175 - -84. Let n be ((-78)/(-4))/((-10)/40). What is the common denominator of -29/12 and (146/(-14))/(n/t)?
12
Let k = 28 - 24. Suppose -q - 15 = -k*q. Calculate the lowest common multiple of q and 9.
45
Calculate the common denominator of 151/12 and ((-1494)/4188)/(10 + -7).
4188
Let j = -8 + 10. Suppose 3*u - 4*i - 1262 = 2*u, u = j*i + 1270. Let o = 28123/22 - u. Find the common denominator of o and 131/6.
66
Let w be 1/((-3)/(-2524))*3/2. Let f = 34078/27 - w. Calculate the common denominator of f and 121/24.
216
Suppose -5*z + 6*n + 289 = 7*n, 3*z = -5*n + 169. Let y = 70 - z. Calculate the smallest common multiple of y and 33.
132
Suppose -j = 2*j + 2385. Find the common denominator of ((-8)/(-10) + -1)/(96/j) and 19/16.
32
Suppose 15*y = 274 + 26. What is the least common multiple of y and 4?
20
Let o be (2/(-335))/(3/438). Let a = o - -16473/2680. Let y = 28/5 + a. Find the common denominator of y and -57/8.
8
Let o(v) = 4*v**2 + v. Let a be o(-1). Suppose 1 = 4*f + 2*x - 33, 4*f - 3*x - 39 = 0. Let u = f - a. Calculate the least common multiple of u and 16.
48
Let a = 449/42 - 69/7. What is the common denominator of -71/14 and a?
42
Suppose -13*d = -10*d + 5*m - 155, 4*d - 172 = 2*m. What is the smallest common multiple of d and 108?
540
Suppose -5*t + 29 = 5*s - 31, -t = -3*s + 8. Suppose -q - t*o + 10 = -3*o, 3*q = -o + 41. What is the smallest common multiple of 1 and q?
14
Let t = -209978 - -387199389/1844. Find the common denominator of t and -39/20.
9220
Let v(l) = -l**2 - 16*l - 12. Let i be -6*-6*16/(-36). Let f be v(i). What is the least common multiple of 20 and f/(1 + 2/(-1))?
60
Let t = 2/39233 - 5688809/470796. Calculate the common denominator of t and (-7)/(-2)*78/(-28).
12
What is the common denominator of (4/72)/((-13)/(13884/56)) and 41/6?
84
Suppose 5*c = 11 - 451. Let n = 187/40 + 9/40. Find the common denominator of 54/80*c/(-12) and n.
20
Let x(w) = -w**2 + 3*w - 5. Let f be x(4). Let c be 2/13 - 324/78. Let m = c - f. What is the lowest common multiple of m and 8?
40
Suppose -c + 5459 = -4*x, x + 1112 + 259 = -c. Let m = 3557 + x. Let n = 17597/8 - m. What is the common denominator of 131/12 and n?
24
Suppose 13 = t - 4*z + 60, 0 = -2*t + 3*z - 94. Let i = t - -75. Suppose -3*w = 12, 5*g - 2*w - 25 - i = 0. What is the least common multiple of 8 and g?
72
Suppose b + 6*r - 56 = 4*r, 2*b - 3*r = 84. What is the smallest common multiple of b and 36?
144
Let n(r) be the second derivative of r**5/20 - 5*r**4/12 + r**3/2 - 5*r**2/2 - 3*r. What is the least common multiple of 2/(2 - (-9)/(-6)) and n(5)?
20
Let t = -350051/22 - -15907. Let c = -20919 + 794967/38. Find the common denominator of t and c.
418
Let f = -307 - -328. What is the least common multiple of 108 and f?
756
Let u = -2389/36 + 499/9. What is the common denominator of u and 1715/504 - (-26)/117?
24
Let l = 6333 + -126571/20. Find the common denominator of l and -145/468.
2340
Let p(w) = 6*w + 2. Suppose 4*k = 13 - 5. Suppose -k*n + n + 2 = 0. What is the least common multiple of p(1) and n?
8
Let u = 1478 - 1468. What is the lowest common multiple of 493 and u?
4930
Let z = -343/9 - -2551/63. Find the common denominator of 103/(-18) - (1 + -3) and z.
126
Suppose 2*x = 5*v + 2, 4 = 5*v + 3*x + 26. Let t = 29107/6 + -4837. Find the common denominator of 3/v + (-96)/21 and t.
42
Let i(a) = 3*a**3 + 28*a**2 - 17*a - 9. What is the smallest common multiple of i(-9) and 275?
2475
What is the lowest common multiple of (-40)/(-60)*(10 + 2 + 3) and 340?
340
Let j(w) = -3*w**2 - 22*w + 3. Let o(x) = 2*x - 8. What is the least common multiple of j(-7) and o(9)?
10
Let j = -847573/246576 + -2/15411. Let f = -5039/1160 + 45/232. Find the common denominator of f and j.
80
Find the common denominator of 17/48 and 4/(-40) - (1003/(-105) + 6).
336
Let g = -3729/4 - -920. What is the common denominator of -71/1170 and g?
2340
Let z = -63 + 83. What is the smallest common multiple of 2 and z?
20
Let o be (5 - 0)*18/(-15). Let c(h) = -h**2 + 9*h - 8. What is the smallest common multiple of c(6) and o*(-8)/6 + -2?
30
Let m = 1538 + -1528. Calculate the smallest common multiple of 44 and m.
220
Let n = 134489739/22 - 6125092. Let p = n + 11920. Find the common denominator of -97/16 and p.
176
Let a be (-6)/52*(60/(-9) + 7). Let d = -37/390 + a. What is the common denominator of d and 49/15?
15
Suppose 11*l - 7*l = -3*h + 49, 4*l - 69 = h. Let d = 4 + 2. What is the lowest common multiple of l and d?
48
Let m = -1007/11 - -33005/352. What is the common denominator of m and 95/(-24) + 1/2?
96
Let z be (-62)/(-12)*278/363. Let b = -3/242 + z. What is the common denominator of 30/(-36)*(-5 - (-72)/(-5)) and b?
18
Calculate the common denominator of -97/42 and ((-8)/2 + (-369)/198)/9.
462
Let p = -160177/20178 - 7/1121. Let l = -25/3 - -63/8. Find the common denominator of p and l.
72
Let y(p) = -p**2 - 7*p. Let s = 82 + 18. Let g = s - 96. Calculate the least common multiple of y(-5) and g.
20
Suppose 4*y = -5*w + 46, y - 10 = -4*w - 4. Calculate the smallest common multiple of 12 and y.
84
Let a = 67 + -62. Let v = a - -2. What is the smallest common multiple of v and 3?
21
Find the common denominator of -11/25 