and -6/47.
188
Let g(h) = 2 + 9*h**2 - 1 - 5*h + 3*h. Suppose -5*v = 5*w - 30, -3*w - 8 = 1. Calculate the least common multiple of v and g(1).
72
Let h(u) = -u**3 + 5*u**2 + 11*u - 10. Let i be h(5). Let n = i + -42. What is the common denominator of -101/26 and 3 + ((-333)/(-12))/n?
52
Let c(z) = 23*z**2 - 111*z + 7. Let p be c(5). What is the common denominator of 48 and (-267)/p - 14/(-5 - 2)?
9
Let v = 279617/22 + -12714. Find the common denominator of v and -65/7308.
80388
Let v(n) = n**3 + 17*n**2 + n + 37. Let d be v(-17). Let h(u) = -u**2 + 21*u + 1. What is the smallest common multiple of h(d) and 8?
168
Let w = -682631/4 + 170671. Let q = 526/59 - 47231/5900. Find the common denominator of q and w.
100
Let a be (-2 - (-24)/10)/(12/(-60)). What is the least common multiple of 10 and (36/a)/3*-27?
810
Calculate the smallest common multiple of (6 - 4)/(4 + 1062/(-266)) and 63.
2394
Suppose -28 = 2*a - 9*a. Suppose 4*p + 8 = -136. Let c = p - -39. Calculate the lowest common multiple of a and c.
12
Let k = -31978811687/5922 + 5400002. Find the common denominator of -10/33 and k.
65142
Let a(b) = 25*b**3 - 3*b**2 + 3*b - 2. Suppose t = -77 + 79. Let w be a(t). Suppose -14*p = -2*p - w. Calculate the smallest common multiple of p and 12.
48
Suppose 3*a + 2 + 4 = 0. Let y = -1190 + 1210. Calculate the lowest common multiple of y and 6 + -2 + a/(-1).
60
Let i be -1 - 202053/(-168390) - 9/45. Let m = 120662/196455 - i. Find the common denominator of m and 6/16*(-296)/(-20).
140
Let s(r) = -12*r**3 + 2*r**2 - 3*r + 1. Let l be s(1). Calculate the common denominator of (-1)/l*6386/(-1643) and 74/3.
318
Let d be 1/((-3)/(-3528)) - -1. Let b be (-2)/8 - d/44. What is the common denominator of -27/16 and 327/16*(-6)/b?
48
Let q = 83 + 19. Let a = q - -24. What is the common denominator of (1/4)/((-21)/a) and 24?
2
Find the common denominator of (-66)/4*(-14)/120 and 1634/855*(118/28 - 6 - -2).
840
Let z be 16 + 6036272/(-288) + 0 + 1. Let l = 20934 + z. Calculate the common denominator of 79/297 and l.
594
Let r = -21268 - -21871. Calculate the least common multiple of r and 2814.
8442
Suppose -3*m + 16 = 2*w, -4*w = -1 - 7. Let d = -3/1561 + 415/446. Calculate the common denominator of d and 23 - (-3 - (-6)/m).
14
Suppose -r = 14*r - 90. Suppose -5*y + 4*k = -38 + r, 5*y - 3*k = 34. Calculate the least common multiple of 40 and 23 - (2 - y)/(-2).
40
Let m be -5 + 0 + 3 + 21 - 3. Suppose o = m*o - 330. Find the common denominator of -28/31 and o.
31
What is the least common multiple of 448 and 24/(-15)*(-17 - 3)?
448
Suppose 2*x - 106 = -b + 2, -5*x + 5*b + 240 = 0. Let m = x - 55. What is the least common multiple of (46/12 + m)*(3 - -3) and 10?
10
Suppose 0 = -5*w + 4*y - 14, 4*y - y = w - 6. Calculate the least common multiple of 216 + (-2 - -2) + 4 and (44/w)/((-24)/72).
220
Let g(m) = m**3 + 16*m**2 + 7*m + 1. Let k(b) = b**3 + b**2 + 2*b + 1. Let d(u) = g(u) - 3*k(u). Calculate the least common multiple of d(6) and 20.
40
Suppose -2*p - 506 = -3*r, 2*r - 686 = -2*r - 3*p. Let s = r + -160. What is the smallest common multiple of s and 82?
410
What is the common denominator of 23/165 and (-32 - 9) + 33 - 3101/(-390)?
4290
Find the common denominator of 32/119 and (55/6)/((-959)/(-274)).
357
Let g(q) = -q**3 - 2*q. Calculate the lowest common multiple of g(-5) and ((837/(-6))/(-31))/(2/20).
135
Let i(o) = 9*o**3 + 198*o**2 - o + 6. Let k be i(-22). Let v be (-72 - -2)/(-1) + 1. Let q = v - k. What is the lowest common multiple of q and 7?
301
Let k = -26/885 + -5140861/3540. Let o = k + 1435. Calculate the common denominator of (-6)/15 + (-167)/(-180) and o.
36
Let b = -9/1345 - 98261/189645. What is the common denominator of b and (-79)/(-553)*203/(-6)?
282
Let a be (4/(-12))/(4/24). Let y be (a + 1)/((-1)/18). Suppose 9*s - 6*s = y. Calculate the smallest common multiple of 18 and s.
18
Calculate the common denominator of -43/1514 and ((-1010)/(-30) + -33)/((-80)/(-702)).
15140
Let l = -2/872127 - 2487119/25291683. Calculate the common denominator of l and -85/609.
5481
Let i = -105947/16 + 6625. Suppose -2*s + 5*v = 17, 3*s + 3*v - 24 = 3. Find the common denominator of (5/75)/((s/230)/1) and i.
48
Suppose 9*k + 657 = -3*s + 6*k, -3*s = 2*k + 654. Find the common denominator of ((-10)/(-7))/(5/(5250/s)) and -151/348.
1044
Let d(h) = -10*h**2 + 6*h - 11. Let w be d(4). Find the common denominator of 3 + -5 + (-406)/w and 57/4.
84
Let k = 171 + -189. Calculate the common denominator of -77/12 and -1 - 1 - ((-1920)/k)/(-10).
12
Let p = -430527/130 + 16556/5. What is the common denominator of -25/4 and p?
260
Suppose -33 = -17*r - 68*r + 52. Suppose 421 = 3*o + 4*q - 155, 0 = o - q - 185. Calculate the least common multiple of r and o.
188
Let h be (-16594)/20 + (-3)/(-15). Let v = -855 - h. Let f = 194/21 - 4493/525. Find the common denominator of f and v.
50
Let c be (8/(-10))/(3/30). Let q(j) = -22 - 13*j**2 + 4*j - 6*j + 12*j**2 - 11*j. Calculate the least common multiple of 12 and q(c).
36
Let n = 53 - 33. Suppose 0 = -4*u + 6*u, 4*h - u - n = 0. Suppose -h*m - g + 23 = 2*g, -g + 5 = m. Calculate the least common multiple of m and 10.
20
Let f = -291643343163/80 + 3645631121. Let b = f + -89333. What is the common denominator of -33/4 and b?
80
Let s = -447 - -597. What is the lowest common multiple of 100 and s?
300
Suppose -11*n = 21 + 1. Calculate the lowest common multiple of (-1 + n)/((-44)/2156) and 18.
882
Let k = -9723/64480 - 244/403. Find the common denominator of k and 97/640.
640
Let j(w) = 52*w - 2644. What is the lowest common multiple of 76 and j(64)?
684
Suppose r - 15 = 1. Let h = 162 + -147. Suppose n - h*p = -16*p + 24, n = -5*p + 16. What is the lowest common multiple of r and n?
208
Suppose 203*t = 193*t + 350. What is the smallest common multiple of t and 270?
1890
Let c = -95 + 94. What is the least common multiple of 10 and (c + 63)*(-1 + 6/4)?
310
Let n(f) = 3*f**2. Let m be 3*3*72/162. Suppose 16 = -11*x + 15*x - 4*d, -13 = -x + m*d. Calculate the least common multiple of x and n(-1).
3
Let p = 3 - -2. Suppose 0*j - p*n - 1 = 2*j, j + 4*n = -5. Calculate the lowest common multiple of j and 9*(13/6 - (-5)/(-30)).
126
Suppose -431*a = -426*a + 2*w - 816, -3*a + 5*w = -471. What is the least common multiple of a and 279?
5022
Let t = 760089 + -19015233/25. Let d = t + 2834369/5450. What is the common denominator of d and -121/10?
1090
Calculate the common denominator of 65/1386 and 3 - (-253648)/(-14112) - -15.
9702
Let f(v) = -187*v + 6550. Let r(k) = -8*k - 4. Let h(w) = -w + 5. Let i be h(8). Calculate the smallest common multiple of r(i) and f(35).
20
Calculate the common denominator of (-30)/225*10 + (-4)/(120252/(-40105)) and 4/11.
10021
Let l = -2737 + 2745. What is the lowest common multiple of 200/15 + 2/3 and l?
56
Let i(w) = -w**2 + 15*w + 8. Let l be i(16). Let n = 12 + l. What is the smallest common multiple of (6 + -8)/((-2)/8) and n?
8
Suppose 132*d = 106*d + 910. Calculate the lowest common multiple of 693 and d.
3465
Suppose 8*i - 22 = -6. Let j(d) = 8*d. Suppose -6 = -4*s + 42. Calculate the smallest common multiple of s and j(i).
48
Let s = -848945/931568 - 1/11792. Let g = s + 8285/1896. What is the common denominator of 83/120 and g?
120
Let h = -1783/441 + 62/49. Find the common denominator of h and -88/4005.
4005
Suppose -85*a - 726 = -2*f - 83*a, 5*a + 1455 = 4*f. Calculate the lowest common multiple of f and 405.
3240
What is the least common multiple of ((-64)/(-160))/((13/60)/13) and 36?
72
Find the common denominator of 199/12 - 1/(-4) and (6 + 1 + (-750)/108)*-22.
18
Let v be (-8896)/(-28) - (18/(-14) - -1). Suppose 0*s = 3*s - v. Calculate the common denominator of 95/12 and 8 + -1 + -5 + s/(-20).
60
Let b = 12085/15168 - 65/79. Find the common denominator of 47/12 and b.
192
Let r be (-45 + 14)/(2/(-2)). Suppose 3*d = -5*y + 53 + r, -5*y + 4*d = -98. Calculate the least common multiple of y and 6.
18
Let s = 99 - 111. Let p be (1 - (-14)/2)/((-6)/s). Suppose -21*x - p = -23*x. Calculate the smallest common multiple of x and 48.
48
Suppose 2*p - p - 4 = 0. Let h(r) = r + 2. Let z(q) = -q**3 - 5*q**2 - 8*q - 4. Let i be z(-3). Calculate the lowest common multiple of h(i) and p.
4
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