lculate the least common multiple of n(7) and 4.
3364
Let z(y) = -y**3 + 13*y**2 + 13*y + 10. Let h be z(14). Let i be h - (-1 + 4 + 27273/(-4071)). Let p = i - 90/59. Find the common denominator of -32/7 and p.
161
Suppose 14*j - 286 = 22. Let z be 2*1/2*5. Suppose z*a - 3*f - 110 = 2*f, -2*a + 5*f + 56 = 0. What is the lowest common multiple of a and j?
198
Let m be 59396/(-63) + (-61)/9 + 7. Let d = -26445/28 - m. What is the common denominator of 11/8 and d?
56
Let o(i) = 8*i**2 + 7*i + 19. Calculate the smallest common multiple of o(-2) and 63.
2331
Let j = 10344 - 9896. What is the lowest common multiple of j and 560?
2240
Let d(y) = -44*y + 97. Let n be d(-10). Let z = -530 + n. Suppose -a + 4 = a. What is the lowest common multiple of z and a?
14
Let y(o) = -3*o - 41. Let w be y(-27). Find the common denominator of 149/12 and (-25)/5 - (-147)/w.
120
Let v(r) be the first derivative of -r**3/3 - 4*r**2 - 7*r - 6. Let g(s) = -8*s - 72. What is the smallest common multiple of g(-10) and v(-5)?
8
Let o = -189 + 24. Let y be (4/5)/((-6)/o). Suppose y*t - 96 = 14*t. Calculate the smallest common multiple of t and 4.
12
Suppose -40*q - 35376 = -107536. Let b be 1/(-4) + 1140262/632. Let g = b - q. Calculate the common denominator of -75/2 and g.
158
Let m = -42 + 62. Let f = -52096783/55 + 947189. Let k = f - -123/5. Find the common denominator of k and m.
11
Suppose 0 = 5*k + 81 - 6. Let p be -1*1*k/(-3). Let i = p + 9. What is the smallest common multiple of 8 and i?
8
Suppose -5*x + 0*x = -20. Suppose x*n - 6*n = -4. Suppose 3*f - 56 = -n*v, -4*f + v = -v - 56. What is the lowest common multiple of f and 18?
144
What is the least common multiple of 1000 and (-4 + -24)*(160/(-28))/2?
2000
Suppose -355 = -26*t - 69. Suppose 0 = -7*k + t*k - 36. Calculate the smallest common multiple of k and 51.
153
Let p = -1296 + 1316. Suppose -24*b - 20 = -29*b. Suppose 4*c + 200 = 5*l, -5*l + 2*c + 200 = b*c. Calculate the lowest common multiple of p and l.
40
Let v(w) = -2*w**2 - 17*w + 149. Let u be v(13). Find the common denominator of 29/15 + (-82)/u and 2/4*77/(-6).
60
Let w(g) be the second derivative of g**5/20 - g**4/6 + 2*g**3/3 - 5*g**2/2 + 13*g + 1. What is the smallest common multiple of 75 and w(2)?
75
Let v = 11667 - 11663. Calculate the lowest common multiple of 7867 and v.
31468
Calculate the common denominator of (-5804)/(-672) + -23 + 9 + 5 and 1/42.
168
Suppose w = 2*z + 152, 58*w - 61*w - 2*z = -392. Calculate the smallest common multiple of w and 833.
6664
What is the common denominator of ((-6)/32)/((-175)/(-6300)) and -69/170?
340
Let u = 50748069 + -49631621849/978. Let l = u - 38/163. Find the common denominator of -6 - ((-255)/2100 - 3/14*2) and l.
60
Find the common denominator of (((-5772)/(-48) + 17)*(-2)/(-3))/(-729) and -11/432.
3888
Let o be ((-48)/(-10))/((-28)/140). Calculate the smallest common multiple of (-11 - 315/(-28))/((-1)/o) and (-1)/(((-7)/(-6))/(-7)).
6
Let k(l) be the first derivative of -9*l**2/2 - 13*l + 6. Let o be k(-7). Calculate the common denominator of -115/36 and (o/(-4))/((-88)/(-22)).
72
Suppose -5*l = -v - 9*l - 22, 0 = -4*l - 16. What is the common denominator of 37/40 and (v/(5 + 265))/((-8)/(-530))?
360
Let o be (12384/(-15))/4 + 12/30. What is the common denominator of (54/180)/((-6)/o) and 113/480?
480
What is the least common multiple of 30 and (-2)/(-5) - -26*6/(-180)*-858?
3720
Suppose 400 = 65*t - 45*t. What is the lowest common multiple of 675 and t?
2700
Suppose 0 = -223*z + 242*z - 9918. What is the smallest common multiple of 116 and z?
1044
Let u(c) = -c**2 - 18*c + 32. Let l be u(-14). Let g = -4751/54 + l. Find the common denominator of -1/24 and g.
216
Let r be (-1)/(-5) + (-1150108)/240. Let a = 4781 + r. Calculate the common denominator of a and 67/12.
12
Let l = -1200/31 - -264217/6820. Calculate the common denominator of -19/42 and l.
4620
Let d be 3 + (-64)/20 - (-667089)/45. Let g = -296417/20 + d. Find the common denominator of g and -25/62.
620
Suppose -10*g + 101 + 109 = 0. Let b(h) = 6 - 11 + h + 4. What is the smallest common multiple of g and b(4)?
21
Let q = 18561 + -8909173/480. What is the common denominator of -29/336 and q?
3360
Let f be (5 - 2 - -2) + -3. What is the lowest common multiple of 33 and ((-90)/(-60))/(f/28)?
231
Let m = -464 + 470. Suppose 0 = 2*k - 7*k + 270. Suppose -x + 34 = 3*j, -2*j + x = 3*j - k. Calculate the lowest common multiple of j and m.
66
Suppose 7 + 14 = 3*p + 3*b, 4*b = -12. Suppose 3*i = 11*i - 128. Calculate the lowest common multiple of i/6*(-9)/(-6) and p.
20
Suppose 0 = 47*o - 46*o - 1. Calculate the least common multiple of (o + 10/6)*(-234)/(-156) and 3.
12
Let n = -5772140 + 46523448303/8060. Calculate the common denominator of n and 103/50.
40300
Let y = -12904/11 - -1168. Calculate the common denominator of y and -1*(-665)/(-6)*(-27)/(-405).
198
Suppose r - 3*r + 4*o = 0, 4*o + 10 = -3*r. Let z be 14/8218*(r - (-10)/4). Let c = z + 68089/3522. Calculate the common denominator of c and -139/30.
30
Let z = 121234/4641 + -548/21. Find the common denominator of z and 33/101.
22321
Let h(c) = -45*c - 1131. Calculate the lowest common multiple of 8/10 + (-244)/(-20) and h(-26).
39
Calculate the common denominator of 69/1640 and -5 - 0 - (3 - (-210768)/(-26240)).
1640
Let d(h) = -2*h**3 - 2*h**2 + 2*h. Let k be d(-2). Suppose 4*t = 5*v + 24, 22*t + 30 = 27*t + k*v. Calculate the lowest common multiple of t and 141.
282
Find the common denominator of -19/1230 and (131664/32800 - 4)*-1.
6150
Let n(y) = -36*y**2 - 1654*y + 42. Calculate the lowest common multiple of n(-40) and 8.
34408
Let r = -2537 + 2687. Calculate the smallest common multiple of r and 2340.
11700
Let d = -779/4 - -197. Suppose -8*i - 232 = -168. What is the common denominator of d and (18 - 17) + 87/i?
8
Let k = -648865/24 + 27032. Calculate the common denominator of k and 155/(-438)*-8 - (8 - 5).
1752
Suppose -5*z - 915 = -2*v, -3*v + 34 = -3*z - 1379. Calculate the least common multiple of 136 and v.
8160
What is the common denominator of -8 + 14 + 3*5243/(-2618) and 23/34?
374
Suppose -5*a + 984 = -7*a. Let n = 7025/14 - 3621/7. What is the common denominator of (-1 - -1) + (-111)/a and n?
164
Suppose 43*s - 26*s + 7004 = 0. Calculate the least common multiple of 20 and (72/15)/(s/(-200) - 2).
80
Let c = 2052 + -8275/4. Let n = -8708/19 + 62103/95. Let l = 193 - n. Find the common denominator of c and l.
20
What is the common denominator of ((-207)/(-36) - 5)*308/234 and 8/32 - (-139)/(-24)?
312
Let k = 1695773/49401462 + -6/54527. Find the common denominator of k and -76/15.
4530
Suppose 10*s - 1049 = 4451. Let j = s + -546. What is the smallest common multiple of 150 and j?
300
Let x(n) = 3*n - 23. Let f be x(-12). Let g = f + 65. Let b(y) = 32*y + 1. What is the least common multiple of g and b(1)?
66
Suppose -2*u - h = -18, -84 = -h - 86. Let s(c) = -2*c**3 + 4*c**2 - 3*c + 2. Let z be s(2). Let d = 10 + z. Calculate the least common multiple of u and d.
30
Let k be -1050*(22/24 - 12/48). Calculate the common denominator of 4/(-30) + (-4235)/k and 119/66.
132
Calculate the least common multiple of 2/((-8)/(-4)) - (-4 - 5)/1 and 131.
1310
Let h(t) = t**3 + 6*t**2 - 7*t + 9. Let z be h(-6). What is the common denominator of 5/(-180)*5*z and -19/108?
108
Let n = 1908 + -55363/29. Find the common denominator of n and (29 + -31 - -187)*2/(-45).
261
Let h = 11 - 220/21. Let v = -16843 - -101201/6. Find the common denominator of h and v.
42
Find the common denominator of 1/(-5)*(-6)/(-17) and ((-1152)/(-85))/(-8) + 2.
85
Calculate the common denominator of (-1 + (-15)/(-10))*-2*(-325)/(-25700) and -20/2313.
9252
Let c be (6/(-5))/((-144)/(-14760)). Let o = 133 + c. Calculate the lowest common multiple of o and 60.
60
Suppose 2*v + 1289 = -5*r, -v - 162 = -2*r - 683. Find the common denominator of 107/56 and (-341)/224 - (-148)/r.
224
Let m = 44907 + -4849969/108. Calculate the common denominator of -1/2259 and m.
27108
Let t(x) = -3*x - 58. Let a be t(-36). Calculate the common denominator of (a/108*48/160)/1 and 57/80.
720
Let v = 115693441103/65 - 1779800479. Let q = -98612 + v. Let t = -11597/1560 + q. Calculate the common denominator of -56/33 and t.
264
