lculate the smallest common multiple of m and 32.
32
Let s(m) = m**3 - 9*m**2 + 7*m + 16. What is the least common multiple of 54 and s(8)?
216
Let b = -6391 + 242827/38. Let d = -22015/13698 + -3/761. Calculate the common denominator of b and d.
342
Let n(q) = 19*q - 36. What is the smallest common multiple of n(12) and 6?
192
What is the common denominator of -115/12 and (10/(-600))/(1/(-278))?
60
Let c = 2242443 - 20204678/9. Let k = 2516 + c. Calculate the common denominator of k and -43/6.
18
Suppose 0 = 4*u - 5*h + 118, -4*h - 5 - 3 = 0. Let m = -23 - u. Calculate the least common multiple of m and 30.
90
Suppose -2*l = 5*b - 41, -15 = 3*l - 8*l + 5*b. Suppose -56 = -4*p + 3*m, -5*m = 2*p - 5*p + 53. Calculate the least common multiple of p and l.
88
Let r(a) = 2*a + 38. What is the least common multiple of 240 and r(-3)?
480
Let l(o) = 2*o**2 + 17*o + 9. Let k be l(-8). What is the common denominator of -83/42 and ((-5)/(-9))/((3/15)/k)?
126
Let y = -22 + 26. Suppose -3*x - 19 = -5*u, y*u + 2 - 4 = -2*x. Suppose a - 6 = -u*w + 2, a + 13 = 5*w. What is the smallest common multiple of 2 and w?
6
Calculate the least common multiple of 44 and 10/(-12) + 10274/132.
308
Let l = 315 + -258. What is the least common multiple of l and 33?
627
Let o be 5713/(-2952) - (-6)/(-27). Let d = -975305/328 + 5947/2. Let a = o - d. What is the common denominator of a and 12/13?
78
Let l = 67495/343002 - -1/5197. Calculate the common denominator of 76/9 and l.
198
Let t = 4 + 1. Suppose -33 = -t*z + 2. Calculate the least common multiple of z and 2/2 + 5 + -1.
35
Let k(i) = -3*i - 1. Let l(d) = d**2 + 17*d + 41. Let w be l(-14). Calculate the lowest common multiple of (11/(-44))/(w/12) and k(-1).
6
Let x(v) = v**3 + 12*v**2 - 13*v + 11. Suppose -l = 3, -3*l = -3*q + l - 27. What is the lowest common multiple of x(q) and 11?
11
Let y = 52877/45 + -1175. Find the common denominator of -121/40 and y.
360
Let r(z) = -z**2 + 10*z - 24. What is the lowest common multiple of r(5) and 407?
407
Let b be 19 - (5 + 4/(-4)). Suppose b = 16*n - 11*n. Suppose 2*l + l = n*t + 54, 0 = 5*l - 3*t - 86. What is the lowest common multiple of 8 and l?
16
Let u be (-4)/16*-4*0 - 36. Find the common denominator of 49/15 and 3/14*((-484)/u - -4).
210
Let q(k) be the first derivative of 9*k**2/2 - 7*k - 21. What is the least common multiple of q(2) and 9?
99
Suppose -w + 8 = 4*s + 3, -4 = 4*s + 4*w. Suppose s*z + 2*z - 88 = 0. Calculate the lowest common multiple of 185/25 + -7 - 28/(-5) and z.
66
Let o = -6743/4692 - -8/391. Calculate the common denominator of -83/4 and o.
12
Let g(n) = -4*n**2 + 11*n + 1. Let c be g(5). Find the common denominator of 146*c/576 - 4/18 and -27/2.
8
Suppose -2*u + 3*l + 12 = u, 4*l = -2*u + 8. Suppose -3*j = u*y - 45, -3*y - 5*j + 0 + 31 = 0. Calculate the smallest common multiple of 22 and y.
132
Suppose -3*a - 297 = -6*a. Let k = 68 - a. Let i = -15 - k. What is the least common multiple of i and 20?
80
What is the common denominator of ((-212)/32)/(-4 - -6) and 85/16?
16
What is the common denominator of (78/(-45) + 1)/((-126)/(-27)) and -31/5?
70
Suppose 6*d - 2*h = 10*d - 42, -4*h + 4 = 0. Calculate the least common multiple of 7 and d.
70
Let t = 40/153 + 1487/1530. Find the common denominator of t and -39.
30
Let m(d) = d**3 + 30*d**2 + 26*d - 11. Calculate the lowest common multiple of m(-29) and 44.
836
Let c = -5557/8 + 700. Calculate the common denominator of (-15)/(-12)*3*-1 and c.
8
Let m = 708591/11 - 64368. Let n = 50053/22 + m. Let o = -2280 + n. Calculate the common denominator of -10/9 and o.
18
Calculate the smallest common multiple of 8 and 1254/38 - (-1)/(-1).
32
Let b = -2482/3 - -19631/24. What is the common denominator of b and 103/10?
40
Let g = -3884/341 - -399/62. Find the common denominator of (-6)/18 + (-58)/132 and g.
22
Let d = -1 + -19. What is the least common multiple of 2 and (-1)/(12/(-3)) - 475/d?
24
Let s = 543/2 - 775/3. Find the common denominator of s and 53/(-6)*-18*7/(-168).
24
Suppose -3*w + 242 = -4*u, -4*w - 2*u - u = -306. Let y = w + -34. Calculate the common denominator of -45/2 and 2 - ((-888)/y)/(-3).
22
Suppose -r = -3*r + 3*j + 14, 4*r = -5*j - 16. Calculate the least common multiple of r and 48.
48
Find the common denominator of 11/48 and (-2)/(-5)*31/12 + -1.
240
Let h(m) = -5*m**3 + m. Let w be h(-1). Suppose 4*z - 104 = w*r, r = -z - 0*r + 18. Calculate the lowest common multiple of z and ((-9)/2)/((-6)/16).
132
Let d = -2/30121 + 1415759/1084356. What is the common denominator of -64/63 and d?
252
Suppose 5*d - 21 - 29 = 0. Suppose 3 = -2*t + 35. Suppose -5*f = -9*f + t. Calculate the lowest common multiple of d and f.
20
Let q = -419097/40 - -10475. Find the common denominator of q and -81/2.
40
Suppose -1 = -t + p - 7, -5*p = 5*t. Let g(k) = k**3 + 3*k**2 - 6*k - 10. What is the least common multiple of 11 and g(t)?
88
Let o(x) = x**2 - 6*x - 79. Calculate the lowest common multiple of o(15) and 2.
56
Let c(h) = 3*h - 12. Let l(s) = -21*s + 72. What is the smallest common multiple of l(2) and c(8)?
60
Let k = -26/15 + -263/30. Let s = 5 - 50. Calculate the common denominator of s and k.
2
Let y = -299963/125 - -4461339993/1867000. Let g = y + 4/1867. What is the common denominator of g and (-97)/(-4) + 4 + -7?
8
Let f = -11 + 22. Let g(c) = -6*c - 22. Let u be g(-7). Suppose 3*l - 2*l = 3*a - 2, -3*l + u = 4*a. What is the least common multiple of l and f?
44
Calculate the least common multiple of 24/(-15)*(-45)/6 and 30.
60
Let x(i) = i**3 + 20*i**2 - 19*i + 50. What is the smallest common multiple of x(-21) and 28?
56
Let l = -15 + -40. Let b = l - -91. Calculate the common denominator of 56/3 and 134/(-4)*9/b.
24
Let c(x) = 17*x**3 - 4*x**2 - 7*x - 4. Let l be c(-9). Let f = l + 126681/10. What is the common denominator of f and 49/9?
90
Suppose -4*p + 0*p = -3*w + 18, 5*w + 5 = -5*p. Suppose d + 17 = -w*r, 5*d + 4 = -21. What is the common denominator of 47/4 and ((-2)/r)/((-10)/(-9))?
20
Suppose -4*h = -s - 30, -1 = -h - 12*s + 9*s. Let m(i) = -3 + 7*i - 4 + 4*i. What is the smallest common multiple of m(h) and 20?
140
Suppose -5*p - 8 = -3*p. Calculate the lowest common multiple of ((-8)/10)/(p/50) and 4.
20
Calculate the lowest common multiple of 6/(-75) - (-12816)/200 and 32.
64
Let c = -147 - -151. Calculate the smallest common multiple of c and 1/(2 - 38/20).
20
Suppose 7*j + 88 = -59. Calculate the common denominator of 2/9 and 5/(-15) - 40/j.
63
Let n(t) = t**3 - 9*t**2 + 9*t - 12. Let a be n(8). Calculate the common denominator of (40/(-2))/((-42)/(-9)) and 2 + a/(112/204).
7
Let u(o) = o**2 + 7*o - 1. Let n be u(-5). Let c = -2 - n. Calculate the smallest common multiple of 30 and c.
90
Suppose -3*o + 60 + 4 = 2*y, -3*y + 5*o = -96. Calculate the least common multiple of 214 and y.
3424
Suppose 2*a = p + 3*p + 64, 2*a + 5*p - 64 = 0. Let n = -76 + 84. Suppose 14*t - 16*t + n = 0. What is the smallest common multiple of t and a?
32
Let w = -3 + 6. Suppose 28 = w*g + 1. Let r(f) = -f**3 + 11*f**2 - 25*f + 157. What is the smallest common multiple of r(10) and g?
63
Let j = -233 - -204. What is the common denominator of 57/32 and j?
32
Calculate the common denominator of 89/22 and (9/(-4) + 2)*8134/(-245).
110
Suppose -f = a - 2*a - 14, -4*a + 10 = 2*f. Let m be 2/(4644/928 + -5). Calculate the least common multiple of f and (16/(-30))/(-4) - m/(-120).
44
Let i = -49329/17 + 10356761/3570. Find the common denominator of i and 59/105.
210
Let r be ((-24)/9)/(10/45). Find the common denominator of 89/148 and (4 + 45/r)/(2/29).
296
Suppose 5*u - 4*i = 110 + 1500, 5*i = -u + 322. Suppose 2*d - 2*f = u, -473 = -3*d + 6*f - f. Calculate the common denominator of -71/14 and -1 - (d/(-16) - 2).
56
What is the common denominator of 5/6 and (-2)/(3 + (-868)/300)?
12
Let o = -168491/16 + 10508. Let a = 1421/48 + o. Find the common denominator of -145/12 and a.
12
Let c = -6005/1778 + -70/127. Find the common denominator of c and -2 + 3*13/27.
126
Let p = -47 + 49. What is the common denominator of ((-220)/104 + p)*(-214)/6 and 91/16?
208
Let j be (8/(-100))/((-36)/2495). Let z = j - 104/15. Find the common denominator of z and -63/32.
288
Suppose s - 162 = -2*c, -3*s + 191 = -4*c - 28