60
Let q(m) = m**2 - 7*m - 33. Let f = -13 - -43. What is the smallest common multiple of q(13) and f?
90
Let p be 7/(28/38) - 2/(-4). Let o be (-180902)/(-36) + p/(-45). Let v = o + -5042. What is the common denominator of -91/4 and v?
12
Suppose -55 = 7*f - 12*f. Suppose -5*h - 4 = f. What is the common denominator of -1 - -1*(-2)/144*h and -89/12?
24
What is the common denominator of ((-69)/(-5))/(-6 - 5481/(-90)) and 85/366?
366
Let u(v) = -v**2 + 53*v - 75. Let l be u(50). Find the common denominator of 35/16 and 20/8*(-365)/l.
48
Suppose 24 = -4*a - 4. Let x(z) = -5*z + 35. Calculate the smallest common multiple of 35 and x(a).
70
Let n = 14722 + -103051/7. Calculate the common denominator of -74/3471 and n.
24297
Suppose -4*g - 13254 = -3*z, 6*g + 9947 = 3*g - z. Let t = g + 82892/25. Find the common denominator of 77/50 and t.
50
Let d = -3639 - -5400. What is the common denominator of -73/8 and (-8)/44 + (d/(-660) - -4)?
40
Suppose 4*i = -2*x - 134, 0*i - 5*i - 262 = 4*x. Let u = 79 + x. What is the least common multiple of 10 and u?
80
Calculate the smallest common multiple of (-253232)/(-98)*3/24 and 136.
2584
Let c = -2625 + 2637. Suppose -4*l - 8 = 2*k, k = -2*l + 4*k - 4. Let x(o) = -4*o + 2. Calculate the smallest common multiple of x(l) and c.
60
Calculate the smallest common multiple of 32 and (246/164)/((-3)/(-80)).
160
Suppose 8*g = -85846 - 41882. Let d = 718409/45 + g. Calculate the common denominator of d and (-236)/10*(-5)/(-10).
45
Let a = 263443917169/3162 - 83315595. Let w = 3/527 + a. Find the common denominator of 10/9 and w.
18
Calculate the smallest common multiple of ((-2)/(-34))/(6*3/306) and 875.
875
Suppose -8400 = -2*v + 4*i, 33768 = 8*v - 227*i + 232*i. Calculate the least common multiple of v and 2635.
21080
Suppose -i + 2*m = -32 - 97, 3*i = -m + 394. Suppose 0 = 15*f - i - 19. What is the lowest common multiple of f and 1?
10
Let a = 400900/3 - 213145173/1595. What is the common denominator of a and -49/1305?
14355
Let f = -893/84 + 75/7. Let n = 18250 + -1204363/66. What is the common denominator of n and f?
132
Let v = -355 + 353. What is the common denominator of (v - -5)*110/(-310) and 47?
31
Let v = -14 - -126. Let t = 557 - 452. What is the smallest common multiple of t and v?
1680
Let z be 2*(-13 + 4) + 0. Let y be (12/z)/(2/(-126)*2). What is the least common multiple of 134 and ((-80)/(-28) - 2)*y?
1206
Let k = -1932 - -2163. What is the lowest common multiple of 5 and k?
1155
Suppose -5*t + 814 = 3*s, 2*s - 307 = -t + 238. Calculate the lowest common multiple of 455 and s.
1365
Let y be (-26012700)/(-464) + (-15)/(-5). Let p = y + -56064. Find the common denominator of p and -111/22.
1276
Let m be (-16)/(-8) + (-9)/(-3). Suppose 0 = m*l + 3*j - 546, j = -0*j + 2. What is the smallest common multiple of l and 10?
540
What is the smallest common multiple of 258 and -36*((-404)/16 + -7)?
2322
Suppose 2*p + 27 = 5*p. Suppose -23 = -t + 3*m, p*m = 2*t + 4*m - 41. Calculate the smallest common multiple of (-2)/(1 - 11/9) and t.
72
Let p be (15/(-4))/(9/(-12)). Suppose -3*s - u - 3*u = -33, -4*s = -p*u - 44. Suppose s*c - 6*c - 25 = 0. Calculate the least common multiple of 7 and c.
35
Let m(n) = 5*n + 39. Let a be m(-8). What is the least common multiple of 33 and (60/(-8))/(a/2)?
165
Let m(x) = -x**3 - 6*x**2 + 30*x - 12. Calculate the lowest common multiple of m(-10) and 176.
176
Let i = 3/446743 - -12949445/908675262. Calculate the common denominator of 61/18 and i.
2034
Let z = 3129715295003542/79981469469 + -2/7271042679. Let u = 39130 - z. Calculate the common denominator of u and 74/9.
99
Suppose 133*t + 3*t + 9*t = 98455. What is the least common multiple of t and 1164?
8148
Let s(p) = -8*p**2 + 5*p + 10. Let y be s(-2). Let g = y + 64. Calculate the least common multiple of g and 4.
32
Let x(h) = h + 18. Let b be x(-4). Let s = -125 + b. Let n = -100 - s. What is the least common multiple of 11 and n?
11
Let b be (4/6 - 25156/(-12)) + -3. Let d = 43982/21 - b. Let x = -1457 - -5727/4. Calculate the common denominator of d and x.
84
Suppose 4*a = q + 119, -5*a + 2*q + 108 + 40 = 0. Calculate the smallest common multiple of a and 8.
120
Find the common denominator of -3 - (-3 - (-770)/(-1568)) and -55/16.
112
Let p = 3777041/616 - 42922/7. Calculate the common denominator of 1/682 and p.
19096
Suppose 0 = j - 4*t - 666, 4*j - t - 3559 = -910. Let a = j + -5277/8. Calculate the common denominator of ((-1716)/(-80))/11*(-21)/9 and a.
40
Calculate the least common multiple of 2880 and (6 + (-52)/8)/(5/(-120)).
2880
Let d = 20 + -23. Let o = -1450 - -1455. Calculate the least common multiple of d/(3*-2)*144 and o.
360
Suppose -h - 14 + 16 = 0. What is the common denominator of (-42 - h) + 1/2 and -1*2 + 1 + 140/(-8)?
2
What is the common denominator of -571*(-3)/(-4590) - 107/(-535) and 71/34?
306
Suppose 2 = 2*s, n + 57 = 3*n + 5*s. Suppose -2*y - 3*l - 6 = -200, 0 = -y - 4*l + 107. What is the least common multiple of y and n?
182
Find the common denominator of (-51)/(-12)*152/(-190) and 45/2587.
12935
Let x = -472/171 - -82/19. Calculate the common denominator of x and 40/559.
5031
Suppose 3*k + 13 = 2*w - 6, 3*w = -2*k + 9. Suppose 9*z = 26*z - 102. Calculate the least common multiple of (1 - (-3 + w)) + 13 and z.
12
Let j = 13 - 5. Let o(t) = -16 + 22 - 17 + 24 + 23 - 2*t. Calculate the least common multiple of o(j) and 30.
60
Suppose 9*g - 98 = -71, -3*g + 121 = 2*r. Let i = 9 - -71. Calculate the smallest common multiple of i and r.
560
Let i be 66/6 + (-2 + -1)*1. Find the common denominator of 52/i*5/(-140)*3 and -117/20.
280
Calculate the common denominator of 52/77 and ((-171450)/(-2838))/(-15) + 4.
3311
Suppose -5*z = -3*s - 11, -4*s + 2*z + 4 = -0*z. Let w(n) = 17*n - 52. Let u = -727 - -732. What is the least common multiple of w(u) and s?
33
Let z(w) = 25*w + 358. Let n be z(-14). What is the common denominator of (-3)/5 + 1095/(-148) + n and 73/3?
2220
Suppose z + 5 = 0, 0 = n - 2*z + 12 - 0. Let a = n + 23. Let c(x) = -2*x - 30. What is the least common multiple of a and c(-19)?
8
Let f = -9483 - -9867. What is the lowest common multiple of 576 and f?
1152
Let f(o) be the first derivative of o**3/3 - 6*o**2 + 20*o + 41. What is the lowest common multiple of f(11) and 31?
279
Suppose -2*w + 30 = -4*g - 6, 0 = 2*w - g - 27. Let q(a) = a + 12. Suppose i = -2*h + 14, -3*h + 5 = -i - 6. What is the least common multiple of w and q(i)?
48
Let d be (112/6)/(52/78). Find the common denominator of 179/(-48) + 10/15 and 9/63 + (-417)/d.
16
Let f = -1684916 - -31039522595/18422. Calculate the common denominator of 21/20 and f.
184220
What is the common denominator of 67/196 and (-50)/84*(19 - -4 - 22)?
588
Let j(u) = 5*u - 13. Let q be j(-5). Let x = -42 - q. Calculate the least common multiple of -3*5/15*x and 16.
16
Suppose 5*s - 3904 = -i, 3*i = -3*s - 1630 + 3970. What is the lowest common multiple of 568 and s?
6248
Let s = 7 + -4. Suppose -149*a + 132 + 40 = -573. Suppose a*d + s*d - 64 = 0. What is the lowest common multiple of d and 7?
56
Let h = -20353/5360 - 3/1072. Find the common denominator of 17/2 and h.
10
Let v = -364 + 427. Suppose -70*p = -v*p - 42. What is the least common multiple of (-3)/(-3 + 2)*2 and p?
6
Suppose 13404 = -329*g + 176259. What is the lowest common multiple of 450 and g?
4950
Suppose 6*a + 18 = 12*a. Find the common denominator of 421/44 - 2/(-11) and 2/a - (-693)/(-108).
4
Suppose -5*n + 4 + 1 = 0. Let h = 34293/80 + -2168/5. What is the common denominator of h and 5 - n - 33/(-4)?
16
Let c = -7087/24 - -198781/672. What is the common denominator of 15/16 and c?
224
Let r be ((-40)/32)/((-9)/12 + 1). Let w(y) = y**2 - 5*y + 25. What is the least common multiple of w(r) and 33?
825
Let s = -32 + 98. Let o = s + -65. Suppose 5*t - r = 26 + o, 0 = -3*t + r + 15. Calculate the smallest common multiple of 8 and t.
24
Let q = 79553/742509 + 1/3519. Find the common denominator of q and -5/21.
4431
Let o = -2677 + 3397. Calculate the lowest common multiple of 360 and o.
720
Let k be -53*2/(-462)*-2. Let q = k - -3/7. Calculate the common denominator of q and (57 - 52) + (-16)/15 - -2.
165
Let d = -2035 + 4109/2. What is the common denominator of 6/(-16) + (