(-18) and b(-3).
7
Suppose -2*y + 5*c + 16 = 0, 0*y = 3*y - 2*c - 24. Let t = y - -14. What is the lowest common multiple of t and 10?
110
Let n(a) = -6*a + 25. What is the lowest common multiple of 19 and n(3)?
133
Let w(v) = 2*v**3 - 2*v**2 + 1. Suppose 0 = -f - 3 + 8. Suppose -5*p - 4*q = -7*p + 20, f*q = p - 13. What is the lowest common multiple of p and w(2)?
72
What is the common denominator of (-165)/14*(-99)/330 and -99/32?
224
Let v be (614/55)/((-5)/(-25)). Let r = v - 1741/44. Find the common denominator of r and (-24)/256*6/(-9).
16
Suppose k - 3*g + 23 = 3*k, 25 = 5*g. Suppose -f + 90 = 2*m - k*m, -m - 495 = -5*f. Suppose 12 = -4*u + f. What is the least common multiple of 48 and u?
528
Suppose -4*x = -11*u + 7*u + 8, -u = -2*x - 3. Suppose 5*b + 4 - 9 = 0. What is the least common multiple of (-16)/(-12) + (104/(-12))/x and b?
10
Let a = 532 - 442. Calculate the least common multiple of 90 and a.
90
Suppose 3*l + 0 = -24. Let f = 17862 - 249957/14. What is the common denominator of (-45)/4 - (-2)/l and f?
14
Let n = 29 + 34. Suppose 7*c - n = 4*c. What is the least common multiple of 24 and c?
168
Let z be 25*(2/(-5))/1*-12. Suppose -z = -61*i + 56*i. What is the smallest common multiple of i and 6?
24
Let q be (-188)/30*10/(-12). Let z = -71/36 + q. Find the common denominator of z and 79/2.
4
Suppose 258 = 22*f - 16*f. Suppose 4*v - 137 - f = r, -5*v + 234 = r. Let d(p) = -p**2 - 11*p - 10. What is the least common multiple of d(-7) and v?
414
Suppose -2*y = -11 - 33. What is the smallest common multiple of ((-4)/14)/((-57)/28 - -2) and y?
88
Suppose 3*o = 3*q, -o + 4 = -4*o + 5*q. Suppose g - 5*y = 21, o*g - 5*y - 18 = 4*g. Calculate the least common multiple of g and 12.
12
Let o = 972 + -962. Suppose 7*n - 36 = 3*n. What is the smallest common multiple of o and n?
90
Suppose 5*n - z - 34 = 0, 8*z = 5*n + 3*z - 50. Suppose -2*c - 22 = -g, 4*c + 36 = 3*g - n. Calculate the common denominator of 2/c + (-610)/(-24) and -95/6.
12
Let o(m) = 3*m - 12. What is the lowest common multiple of o(20) and 5?
240
Suppose 15*w - 154 = -49. What is the lowest common multiple of w and 1?
7
Let z = -54 - -30. Calculate the common denominator of -3 and (-22)/176 + 1/z.
6
Suppose 0 = -f + 5*o + 28, -f + 2*o + 8 = -5. What is the smallest common multiple of 35 and f?
105
Let z = -504 - -570. What is the lowest common multiple of z and 44?
132
Let t = -90277/12996 + 3/1444. Calculate the common denominator of t and ((-346)/16)/((-21)/4).
126
Suppose -2*g - 16 = 2*c - 7*g, -15 = 3*c - 3*g. Find the common denominator of 119/10 and ((-219)/34)/(1*c).
170
Let q = -8295/26 - -319. Find the common denominator of q and 23/9.
234
Let o(i) be the second derivative of i**5/20 + i**4/2 - 2*i**3/3 - 15*i**2/2 - i. Calculate the lowest common multiple of o(-6) and 1.
9
Let f = 274419/4 - 69174. Let p = f + 52241/92. Let y = -1302/19 - -17923/228. Calculate the common denominator of y and p.
276
Let t = -8920/9 - -998. Calculate the common denominator of t and 38/3.
9
Suppose 2*i + 2*y + 3*y - 23 = 0, -i + 16 = 4*y. Suppose i*q - 90 = -q. Suppose f - q = -2*f + 4*l, 15 = 5*l. What is the least common multiple of f and 6?
30
Let s(a) = -44*a + 956. Calculate the least common multiple of 432 and s(13).
3456
Let u = 45 + 89. Suppose 5*i = 2*f + i - 44, -5*f + 4*i + u = 0. What is the lowest common multiple of 27 and f?
270
Calculate the common denominator of 27/(3375/(-10)) - 4354/1200 and 85/378.
1512
Calculate the common denominator of (26/10)/((-80)/(-160)) and 3/55.
55
Suppose -9 = 4*l - 53. Let s(d) = -d**3 + 10*d**2 + 11*d + 10. Calculate the least common multiple of s(l) and 8.
40
Let m be (-1)/4 + 23/(-132). Let v = -244/99 + m. Calculate the common denominator of v and ((-1)/4 - 0) + 38173/18116.
63
Let b = 4241 + -105967/25. Calculate the common denominator of -31/85 and b.
425
Let t(n) = 47*n**2 - 3*n - 14*n**3 - 2 - n - 48*n**2. What is the smallest common multiple of 15 and t(-1)?
15
Find the common denominator of 63/40 and (-2)/17 - 99807/(-104040).
120
What is the common denominator of -46/119 and 5784/9408 - 9/(-24)?
1666
Let w = 824 - 780. What is the smallest common multiple of 198 and w?
396
Let s = -56 - -60. What is the smallest common multiple of 9 and s?
36
Let z be 3 - (-6 - -1 - (-1 + -3)). Suppose d - 28 = -2*w + z*d, -5*w + 92 = -2*d. What is the lowest common multiple of w and 20?
20
Suppose 4*m + n + 545 = 0, -2*n + n = -3*m - 414. Calculate the least common multiple of 104 and 75/175 - m/7.
520
What is the common denominator of 45/7 and (89*(-2)/(-5))/((-288)/(-120))?
42
Let l(a) = -a**2 + 1. What is the lowest common multiple of (-1)/(2 + -1) + 4 and l(0)?
3
Let j = 465867/20 - 23298. What is the common denominator of -109/20 and j?
20
What is the smallest common multiple of ((-184)/138)/(3/(-54)) and (-33*1)/(-1*1)?
264
Let b = -4457/11 + 405. Let c = 590/49 + -146175/196. Let o = -757 - c. Calculate the common denominator of b and o.
44
Let i(g) = -g**2 - 48*g - 95. What is the least common multiple of 24 and i(-43)?
120
Suppose n + 3*n - 8 = 0. Suppose -4 = f - 3*z - 0, 0 = -n*f + 2*z. Suppose y - 25 = -f*i, -19 = -i - i + y. What is the smallest common multiple of 9 and i?
99
Let z = -16951623 + 271103361/16. Let i = 7659 + z. Let m = 457/8 - 57. What is the common denominator of m and i?
16
Let b = 97467/49 - 1989. Find the common denominator of b and 99/56.
392
Let h be ((-22)/(-8))/((-14)/56). Calculate the smallest common multiple of 11 and (h + 7)*3/(-2).
66
Suppose -4*x - 4*i - 16 = 0, 2*i = -2*i - 4. Let d(b) = -6*b - 10. What is the lowest common multiple of 0 + (1 + -10)/(-3) and d(x)?
24
Suppose -5*n + 4*g + 30 = 0, 5*g + 15 = 2*g. Let l(d) = n*d**2 - 2*d**2 + 3 - d**2 + 0 + 8*d. Calculate the lowest common multiple of 3 and l(7).
30
Suppose -39*f + 623 = -3667. Calculate the least common multiple of 310 and f.
3410
Suppose -3*d - 5*l = 6, 3*l = -5*d + 2*d. What is the least common multiple of 120/(-16) - (-24)/16 - -12 and d?
6
Suppose -9 = -2*q + 27. Suppose -3*z + 78 - q = 0. What is the least common multiple of z and 40?
40
Suppose 0 = s + 4*s - 60. Let o(d) = -d**3 - 18*d**2 - 20*d + 9. Let c be o(-17). Suppose -9*n = -14*n + c. What is the lowest common multiple of s and n?
12
Suppose 3*j = p - 2*j + 45, -2*j = 4*p + 136. Let s = -26 - p. What is the smallest common multiple of s and 2?
18
Find the common denominator of 133/144 and ((-35)/(-63))/((-320)/345).
576
Let n(j) be the first derivative of 23*j**3/3 - j**2 + 22. Calculate the smallest common multiple of n(1) and 30.
210
Let d = -975 + 15619/16. What is the common denominator of -17/4 and d?
16
Let p(x) = -x**2 + 11*x + 14. Let h be p(10). Suppose n + 1 = 2. Calculate the smallest common multiple of n and (-42)/(-8) - 6/h.
5
Suppose -6*p = -223 + 217. What is the smallest common multiple of p and 594?
594
Let o be ((-334)/(-3))/((-240)/(-164)). Let s = o + -790/9. What is the common denominator of s and 139/48?
240
Let f(y) = -10*y - 38. What is the lowest common multiple of 3 and f(-6)?
66
Let g = 1793 + -28639/16. Let x = -3609 + 158761/44. What is the common denominator of x and g?
176
Suppose n + 5*w = 19, 4*n + w - 10 = 3*w. Suppose 0 = n*i - 3 - 9. Let f = 4 - i. What is the smallest common multiple of 5 and f?
5
Let l = 704/3 + -4273/18. What is the common denominator of 18/12 - (-75)/144 and l?
144
Suppose 6*p - 156 = -4*f + 10*p, 2*f - 3*p - 81 = 0. Calculate the least common multiple of 63 and f.
252
Suppose 14*m - 10*m = -5*d + 21, -d - 3*m - 9 = 0. Suppose 3*w - 65 = 7. Calculate the lowest common multiple of d and w.
72
Let p(h) = 3*h + 1. Let w(r) = -9*r - 298. What is the smallest common multiple of p(1) and w(-34)?
8
Let k = 1 + 4. Suppose n - 20 = k*l + 11, 3*n - 3*l = 33. What is the smallest common multiple of n and 0 + 1 - (-4 - 17)?
66
Let c = 15569/4 - 3721. Let d = -4953/28 + c. What is the common denominator of ((-1177)/33)/((-28)/6) and d?
14
Let d = 18453 - 442805/24. Calculate the common denominator of d and -52/15.
120
Suppose 6*k = 4*k + 32. Suppose -5*z + z + k = 4*m, -4*z + 16 = m. What is the least common multiple of z and 50?
100
Let y = 10259/48412 - -15/1274. Calculate the common denominator of 65/84 and y.
1596
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