nator of (-7 + 7440/1050)/(28/27) and 53/539?
10780
Let g(q) = -q**3 + 27*q**2 + 5*q - 64. Let k = 354 + -327. What is the least common multiple of 6 and g(k)?
426
Let x(c) = -2*c**2 - 15*c - 4. Suppose -2*t + 3*t + 1 = 0, 2*t + 23 = -3*p. Let a be x(p). Find the common denominator of a + 3/(-27)*(-333)/(-15) and 14/3.
15
Suppose 0 = 5*w - 10*w + 30. Let m = -119 + 122. Calculate the lowest common multiple of 16 and 4*(32/w)/4*m.
16
Suppose -3*m = 6, -4*h + 24*m + 4248 = 28*m. What is the lowest common multiple of 361 and h?
20216
Suppose 4*g = -p - 168, 3*p - 54 - 98 = 4*g. Let b = g + 69. Suppose -r + b = 8. What is the least common multiple of 24 and r?
120
Calculate the common denominator of 23/144 and (2 - 1)*(2 - 2) + (-18564)/(-408).
144
What is the common denominator of ((-1568)/64)/((315/(-2))/(-7)*3) and 170/(-36)*(-2)/(-40)?
1080
Let x = -189869 - -142401643/750. Find the common denominator of 49/12 and x.
1500
What is the common denominator of ((-3745)/252)/((-6)/(-9))*(-32)/(-5040) and 67/28?
756
Suppose 0 = 51*f - 3002 - 3118. Suppose 3*m - 93 = 2*m + a, -2*m + 165 = 5*a. Calculate the smallest common multiple of f and m.
360
Suppose y - 16 + 11 = 0. Suppose 2*q = 5*l - 62 - 166, y*q = -3*l + 112. Calculate the least common multiple of 52 and l.
572
Suppose 0 = -3*l - 6*k + 10*k + 427, 149 = l + 2*k. Let j = -137 + l. Calculate the lowest common multiple of 4 and j.
8
Calculate the common denominator of 11/754 and 9 - (-9)/(-3) - ((-127585)/1300)/(-17).
7540
Let k = 118 - 94. Suppose -r - 5*r = 396. Let j = 96 + r. Calculate the lowest common multiple of k and j.
120
Suppose -5*o + v + 4*v + 65 = 0, 4*o + 2*v - 64 = 0. Let n = 117 - 187. Calculate the smallest common multiple of 2*(-115)/n + 4/(-14) and o.
15
Suppose -11*x + 232 = -461. Calculate the least common multiple of 9/27 - (-3 + (-68)/12) and x.
63
Suppose -3*o - 4*i + 116 = 0, -40*i + 44*i = 2*o - 84. Calculate the lowest common multiple of o and 700.
1400
Let k(l) = -2*l**2 - 7*l - 10. Suppose -4*b - 2*y - 12 = 0, -3*b - 4 = 4*y - 5. Find the common denominator of k(b) and ((-84)/8)/7 + -29.
2
Let y(i) = -i**3 - i - 1. Let n(k) = -7*k**3 - 2*k**2 - 7. Let r(x) = -n(x) + 6*y(x). What is the lowest common multiple of r(-3) and 15?
30
Suppose 4*l - 802 = -2*x, -5*x + 161*l + 2000 = 166*l. What is the smallest common multiple of x and 2622?
18354
Let p = -4717 - -4781. What is the lowest common multiple of 868 and p?
13888
Let y = -95 + 97. Suppose 0 = -3*i - 2*d + 134, 3*i - 52 = y*i + 3*d. Calculate the lowest common multiple of i and 54.
1242
Calculate the smallest common multiple of 160 and -3 + 11783/7 + (-86)/301.
3360
Let b = 65 + -45. Suppose 4 = b*u - 24*u. What is the common denominator of -5/8 and u*(-58)/(-16) + (-7)/(-28)?
8
Let f = 122349 + -21166223/173. Let k = f - -1838/5709. What is the common denominator of 80/33 and k?
33
Let u be (-3)/(18/4 - 6). Find the common denominator of (-12)/(-176)*u*(-122)/(-12) and 37/4.
44
Suppose -3*l - a = -2*l - 7, 3*a = 12. Suppose m - 278 = -5*p - m, 0 = -3*p - l*m + 174. What is the lowest common multiple of 36 and p?
108
Let z = 15581/6 + -2578. Let s be (-8012)/126 + (-21)/(-7). Let j = 449/7 + s. Calculate the common denominator of z and j.
18
Let h = 180 - 12. Suppose 123*l = 3984 + 2625 + 3723. What is the least common multiple of h and l?
168
Suppose x = -4*a + 13, 2*x + 4*a = 6 + 12. Let l be 6/(-12) - (-102)/12. Suppose 3*h + 5 = l*h. What is the least common multiple of h and x?
5
Suppose -3*i - 7 = -4. Let o be (10/4)/(i/(-18)). Calculate the smallest common multiple of 9 and 3/(o/6) - 215/(-25).
9
Suppose 65*k - 39*k = 260. Calculate the least common multiple of 364 and k.
1820
Let n = -4532 + 4595. Calculate the least common multiple of n and 42.
126
Suppose 14*n - 13*n + 184 = 0. Let o = n + 199. What is the lowest common multiple of o and 15?
15
Suppose -31*c = -30*c. What is the common denominator of (-5)/(-4)*(-1)/12 and (2/(-6) - c)/((-64)/(-3216))?
48
Let i = 198491375/42 + -4726445. Let d = i - -3064/7. Calculate the common denominator of d and (-13)/(-4) - (2 + -2).
12
Let h(s) = 57*s**3 - 3*s**2 + 2. Let o = 31 - 29. Suppose -3*p + 4 = -7*j + 2*j, 3*j - o*p + 3 = 0. What is the least common multiple of 10 and h(j)?
280
Let r(k) = -7*k**2 + 103*k + 5. Let z be r(5). Suppose z = 193*y - 188*y. What is the least common multiple of y and 9?
207
Let l = -1647183/1480 + 11131/10. What is the common denominator of -123/160 and l?
5920
Let b = 38 - 35. Suppose -v = b*o - 18, 0*v - v + 3*o + 24 = 0. Calculate the smallest common multiple of v and 2.
42
Let f be (2028/(-32) + 2/(-1))*-14. Let l = -926 + f. What is the common denominator of l and 149/120?
120
Suppose -145*p - 4785 = -156*p. Let k = 441 - p. What is the lowest common multiple of k and ((-3)/5)/(4/(-40))?
6
Let s = 556/5 - 6016/55. Let c(a) = -274*a**2 - 19*a - 78. Let p be c(-6). Let g = p - -226092/23. Find the common denominator of s and g.
253
Let b = -2497384/117 + 21345. Find the common denominator of -47/351 and b.
351
Let u = -32 - -56. Suppose 41*w - 45*w + 128 = 0. What is the least common multiple of w and u?
96
What is the common denominator of (82/(-615))/(-2 - 840/(-388)) and 113/1020?
2040
Suppose 106*v = 101*v + 315. What is the lowest common multiple of v and 72?
504
Let j(l) = -13*l - 15. Let y be j(12). Calculate the common denominator of y/122 - (-2 - -1) and -71/10.
610
Let a be -5*3/(-5) + 13683. Let t be (-2190406)/(-160) - (-2)/5. Let h = a - t. What is the common denominator of h and 151/12?
48
Find the common denominator of 31/834 and (-82)/(-88)*(21 + 6)/(-27).
18348
Suppose 0 = 6*n - 113 + 101. What is the smallest common multiple of n + -5 + -1 + 290 and 2?
286
Let b = -157/69 - 423/23. What is the common denominator of b and -16/357?
357
Let j(a) = -a**2 - 29*a + 1140. Calculate the lowest common multiple of (0 - -16)*17/2 and j(-51).
1224
Suppose 5*c - 2*k = 48, 0 = 3*c + k - 14 - 6. Let w be 7/(-112)*-164 + (-2)/c. Calculate the lowest common multiple of 18 and (w/(-5) + (-1)/(-3))*-6.
90
Let f = -4/5379 - -274409/107580. Suppose -4*t + 5*a - 4 = 0, 0*t = -t - 5*a - 1. Calculate the common denominator of f and (6/(-24))/(t/(-43)).
20
Suppose -4*u = 7*u + 565 - 3205. Calculate the least common multiple of u and 240.
240
Let t(k) = -3*k**3 + 65*k**2 - 88*k - 24. What is the smallest common multiple of 16 and t(20)?
432
Let i be 17/34 + 2 + (-3)/6. Suppose 0 = i*j - 11*j + 1242. What is the lowest common multiple of j and 15?
690
Let c = 719/2 + -371. What is the common denominator of ((-556)/70)/(-53 - (-11836)/220) + 15 and c?
14
Let z(v) = 121*v - 1115. What is the smallest common multiple of 8 and z(11)?
216
Let a(f) = -f**3 - 31*f**2 - 111*f - 77. Let l = -26 - -28. Calculate the lowest common multiple of a(-27) and l.
4
Let m = -4164 + 12428/3. Find the common denominator of -97/495 and m.
495
Let p = 42 - 34. Suppose q = -4*j + 296, -2*q - 2*j - 1148 = -6*q. What is the least common multiple of q and p?
288
Suppose 12*n - 6*n = 132. Suppose 0 = -4*h - 7*a + 4*a + 51, 0 = -3*h + 5*a + 31. Let r = h + -4. Calculate the smallest common multiple of r and n.
88
Let k = 196/17 - 6943/816. Suppose -3*w = -4*b + 71, -4*b - 4*w + 31 = w. Calculate the common denominator of k and 647/112 + 4/b.
48
Suppose -1478*d + 1486*d = 32. Calculate the smallest common multiple of 444 and d.
444
Let q = -2/409 - 80146/3681. Let a = q - 14/9. What is the common denominator of a and 35/27?
27
Let y = -27 - -65. Let a be (28/12)/(-7) - (-56)/24. Suppose h + a*m = 2, 0 = -57*h + 62*h + 3*m - 31. What is the smallest common multiple of y and h?
152
Let i = 45 - 3. Let n = i - 20. Let f = -462 + 482. What is the least common multiple of f and n?
220
What is the common denominator of ((-68)/(-120))/(((-1)/(-3))/((-10)/(-36))) and 131/234?
468
Suppose -3*y + 2*c + 102 = y, -y + 30 = -2*c. Suppose -24*g = 3567 + 8529. Let s = g + 510. Calculate the lowest common multiple of s and y.
24
Let w = -99621/56 - -1779. Let o = -12789 + 895161/70. What is the common denominator of w and o?
280
Let s(l) = -l**3 + 16*l**2 - l - 158. Calculate the lowest common multiple of 8 and s(15).
104
What is the lowest common multiple of 30 and (480/140*1/