/210 and i.
3990
Suppose 6111*w - 6527*w = -27456. Let r(f) = f**3 + 2*f**2 - 3*f + 2. What is the smallest common multiple of r(2) and w?
132
Let v(t) be the second derivative of -t**3/3 + 22*t**2 - 31*t. Let h be v(18). Find the common denominator of 59/4 and (207/(-6) - -4)/(h - -1).
36
Suppose -39 = -5*r + 3*i + 534, 3*i - 339 = -3*r. Find the common denominator of -31/20 and (-5 - r/(-270))/(-2 - 2).
180
What is the common denominator of -11/234 and 18/39 + 1707/780?
2340
Suppose 4*s = -5*q + 75, 65*s - 69*s = 3*q - 53. Calculate the smallest common multiple of q and (0 + -1)*-8 - 0.
88
Let p = 79 - 147. Let k = p + 180. Calculate the lowest common multiple of k and 84.
336
Calculate the common denominator of -121/10 and (-4625)/(-42846)*(3 - 4).
5790
Suppose -2424 = 940*i - 952*i. What is the smallest common multiple of i and 1?
202
What is the common denominator of 27/218 and (-3)/(-32)*(-1 - 0)/(51/(-4284))?
872
Suppose 2*h - 96 = -1261*c + 1256*c, -2*h + 78 = 4*c. Suppose 3*j = -0*j. Let v(i) = i + 18. Calculate the least common multiple of c and v(j).
18
Suppose 16 + 11 = 3*f. Let s(y) be the second derivative of -y**5/20 + 3*y**4/4 - 17*y**3/6 + y**2 + y - 44. Calculate the lowest common multiple of f and s(3).
45
Suppose 4*q - 364 = 3*b - 0*q, -2*q - 572 = 5*b. Calculate the common denominator of (2/(-5) + 1)*(-4 - 4 - -2) and -2 + b/(-44) - 2.
55
Let f(p) = 2*p**3 - 3*p**2 - p + 3. What is the least common multiple of 10 and f(2)?
10
Let z be ((-55)/8)/11*-606. Let k = -4283/12 + z. Find the common denominator of (-5 - 105)*2/(-16) and k.
12
Find the common denominator of -47/1203 and ((-13)/(-156)*15)/((-33)/16).
13233
Suppose 0 = -d - 3*o + 2067, 0 = 2*d - 19*o + 21*o - 4138. What is the lowest common multiple of d and 80?
16560
Let q = 53591/8088 - 1/1011. Calculate the common denominator of (-873)/(-728) - 9*28/882 and q.
104
Suppose 12*f - 2 = 22. What is the common denominator of 89/18 and 686/12 - 6 - f/3?
18
Let m = 703 - 701. Suppose -3*n - m*j = -0*j - 394, -n = 2*j - 138. Calculate the smallest common multiple of 4 and n.
128
Let t be (-26)/(-10) + (-6)/10. Suppose -5*l = t*g + 286, -265 = -l + 6*l - 5*g. Calculate the common denominator of 97/10 and 1126/(-308) + 32/l.
110
Let w(g) = 28*g + 118. Let j be w(0). Suppose 0 = 5*c - 212 - j. Calculate the lowest common multiple of 48 and c.
528
What is the least common multiple of 1840 and ((-36)/(-13))/((-1563)/(-27092))?
5520
What is the common denominator of ((-92)/(-10) - (-156)/195)/(2464/(-34)) and 113/20?
3080
Calculate the common denominator of 55/3866 and (-13475)/1386*(-6)/(-4) + 8.
23196
Find the common denominator of (-282)/30879*(-63)/4 and 89/228.
16644
Let c = 5682 - 142006/25. Let j = 4331 + -2127. Let v = -15460/7 + j. Calculate the common denominator of c and v.
175
Suppose -u + 568 = u. What is the common denominator of (530/35)/(24/14) and (6/108)/((-2)/u)?
18
Let q = -9619/13020 - -28/465. Let v = q - -845/28. Calculate the common denominator of 1 - (1326/60 + -12) and v.
10
Let w = -11119 + 11263. What is the least common multiple of w and 468?
1872
Suppose 2*t + 0*f = 4*f - 5348, 2*f = -2*t - 5330. Let p = t + 58673/22. Find the common denominator of p and -1/66.
66
Calculate the smallest common multiple of 66/(-12)*(1 + -5) - 0/(-150) and 9358.
102938
Let a(w) = -5*w**2 - 90*w + 20. Let x = -32 - -14. Calculate the least common multiple of (-20)/(2 + 12/(-5)) and a(x).
100
Let y(s) = 201*s**2 + 2*s - 7. Let a be y(-6). Let u = 108202/15 - a. Calculate the common denominator of -5 + ((-1889)/(-168) - 8/28) and u.
120
Suppose 3*h - 4*o - 216 + 124 = 0, 3*h - 82 = 2*o. What is the smallest common multiple of h and 752?
2256
Calculate the common denominator of 127/576 and (-140)/(-315)*(-4)/(-22).
6336
Suppose -4*b - 2*m = 124 - 324, 0 = 4*b - 3*m - 180. Suppose 753 = 20*r - 567. What is the lowest common multiple of r and b?
528
Let f(p) = 2*p. Let k be f(-1). Let l be k + (1 + -4 - (8 - 12)). Find the common denominator of l/(-4)*(-4 - (-78)/10) and -85/4.
20
Let w = -3/823 + -58373/16460. Let t = 249541/94770 - -2/9477. Find the common denominator of t and w.
60
Calculate the least common multiple of 654 and 16/22*((-660)/40 + 22).
1308
Suppose 2*a - 11*r = -6*r - 845, 4*r + 4 = 0. Let o = a + 428. Calculate the lowest common multiple of 63 and o.
63
Let u = 516264 - 952507147/1845. Find the common denominator of u and -123/10.
3690
Calculate the common denominator of ((-5207)/(-1143))/(68/18) and -103/34.
34
Suppose -5*k + 20 = -6*k. Let b be -4*102/k*(-20)/6. Calculate the common denominator of -67/9 and (b/(-18))/((-4)/21).
18
Let f = -1094/11 + 186453/1870. Calculate the common denominator of f and -79/51.
510
Let d(n) = -n**3 - 9*n**2 + 19*n - 13. Let y = 87 + -98. Let o be d(y). Suppose 0 = -o*i + 16*i + 96. Calculate the smallest common multiple of 4 and i.
24
Suppose 0 = -2*u + 3*q + 360, -u = -4*q + 6*q - 180. Suppose -u = a - 6*a. Calculate the smallest common multiple of 112 and a.
1008
Let y(b) = 154*b**2 + 251*b + 4. What is the least common multiple of 4 and y(-4)?
1464
Suppose -6*n + 5 = -n. Suppose -5*d + h - 544 = -509, 5*d = 2*h - 40. Calculate the common denominator of ((-84)/(-1368))/((-2)/d*n) and -67/8.
152
Suppose -13*a - 128 = -21*a. Suppose -b = -0*b + 5*g - 43, 0 = 3*b + 2*g - 64. Calculate the smallest common multiple of b and 9/(108/a)*(-3 - -9).
72
Let g = -2663 + 2667. What is the lowest common multiple of g and 359?
1436
Let h = -8429435731/39 + 216125938. Let y = h - -13441. Calculate the common denominator of -25/57 and y.
741
Suppose 12*m = 9*m - 324. What is the common denominator of 138/(-4)*3/54 and 450/(-33)*12/m?
132
Suppose 3*t = 2*g - 13, t - 4*g - 14 = 3*t. Let m be ((-1)/(-12))/(((-3680)/(-3948))/t). Let b = m + 15/32. Find the common denominator of b and 83/20.
460
Let d be 4/3*(-16)/(-48)*-9. What is the lowest common multiple of 32 and (5/d - 0)/((-6)/24)?
160
Let s = 81 - 83. Let b be (0 + 1 - s)*10/6. Suppose v - b = 9. What is the smallest common multiple of 22 and v?
154
Let l be (2182/(-6))/(1/(-51)). Let s = l + -741923/40. What is the common denominator of -7/12 and s?
120
Suppose 0*c - 74 = c + 2*b, -2*c - 5*b = 145. Let m be (10/3)/(c/36 - -2). Let t(j) = -8*j - 16. What is the least common multiple of 20 and t(m)?
520
Suppose 20 + 12 = 4*k + 4*g, 2*g = 4. Calculate the smallest common multiple of 12 and -2 - (4 - k)/2 - -76.
300
Let n be (-2*151)/(550/95). Let r be (-7)/(-35)*(-1126)/(-4). Let u = r + n. Find the common denominator of u and 7/18.
198
Let y = 21517/6 + -3574. Let c = 12334913/120 - 102790. What is the common denominator of y and c?
120
Let v be (-3048)/108 + 4/18. Let y = -12 - v. What is the lowest common multiple of 0 + 160*14/35 and y?
64
What is the lowest common multiple of 336 and ((-9)/15 - -1)/(-25*9/(-13500))?
336
Let q be 1/(-2) - 8818383/(-180). Let a = q + -48993. What is the common denominator of a and 115/14?
420
Let b(f) = -3*f - 5. Suppose -5*a + 35 = 5*s, 3 = 4*a - 17. Suppose -z - 10 = -3*n - s*n, 0 = 3*z + 3*n + 12. What is the least common multiple of b(z) and 3?
30
Calculate the lowest common multiple of (-1526)/(-6) + 600/360 and 128.
256
Calculate the lowest common multiple of 209 and 5948/36 - ((-112)/63 + 2).
3135
Let w(j) = 2262*j - 18. Suppose q - 2*q - 5*k = 28, 4*q = -2*k - 40. Let p be w(q). Let o = p - -724601/40. Calculate the common denominator of 47/40 and o.
40
Suppose 5*c + 18 - 232 = 2*u, -4*u + 76 = 2*c. Calculate the least common multiple of c and 42.
42
Let b be 6 - (-3 - (7 - 1)). Calculate the least common multiple of 40 and 24/(-6)*3/b*-45.
360
Let f = -76721/48 + 4814/3. Find the common denominator of -29/1132 and f.
4528
Let c(z) = -9*z - 377. What is the smallest common multiple of c(-49) and (-28 + 2)/(-6 + 5)?
832
Let i(c) = c**2 + 42*c + 26. Calculate the least common multiple of 12 and i(0).
156
Suppose 6*g - 464 = 2*g. Find the common denominator of (-345)/(-25)*(-10)/g and 13*(6 - (-763)/(-126)).
522
Find the common denominator of (-3)/21*(-145)/(-928) and -23/28.
224
Let a be 7 - 7 - (0 + -3). Suppose a*j = -5 + 17. Calculate the lowest common multiple of 8 and j.
8
Let k = 113 + -2461/22. Let f = 406 - 880. What is the com