0
Let g = -4/12923 - 167263/2377832. Find the common denominator of -97/20 and g.
920
Let d be (3/4)/(40/(-26290)). Let h = d + 975/2. Find the common denominator of (-1168)/48*3/14 and h.
112
Let t(s) = s**3 - 3*s**2 - 3*s + 4. What is the lowest common multiple of t(4) and 1?
8
Let x be (8 - 7) + (-3268)/3266. Let b = 164937/6532 + x. Calculate the common denominator of b and 53/7.
28
Let l(z) = 5*z + 1. Let t be l(-5). Let y = 1 - t. What is the least common multiple of 20 and ((-24)/10)/((-10)/y)?
60
Let i = -2980/7 - -399075/938. What is the common denominator of -9/7 and i?
938
Suppose 5*m + 216 = -3*k - 111, -15 = 5*m. Calculate the least common multiple of 5 and k/14*(-70)/20.
130
Let v be 4 + -2 - (-123)/(-1). Find the common denominator of (v/20)/(-1) + -2 and 6540/(-3960) - 6/(-18).
220
Let i = -5990 + 31034. Let p = i + -1202213/48. What is the common denominator of -109/24 and p?
48
Suppose 0 = -x - 5*j - 16, 5*x + 3*j + 1 = -35. What is the common denominator of 70/x - 1/1 and -3*4/84*(-371)/2?
6
Let m = 146/583 - -73727/52470. What is the common denominator of -9/80 and m?
720
Let o = -5/307 - -9325/7061. Calculate the common denominator of -44/9 and o.
207
Let s be (-13 - (-1 - -2))*(0 + -1). Suppose -3*v = -10 - s. What is the lowest common multiple of 10 and v?
40
Calculate the lowest common multiple of 20 and 552/8 - 1*4.
260
Let d = -10 + 16. Let k(h) = -5*h**2 - 22*h + 8. Calculate the lowest common multiple of d and k(-4).
48
Let a = -428/7 - -5423/84. Find the common denominator of a and 23/9.
36
Suppose 3*p - 2 = 4*r + 15, 0 = 5*p - 4*r - 23. Suppose 0 = -p*l + 20 + 19. Calculate the lowest common multiple of 3 and l.
39
Calculate the common denominator of 91/(-14) - (3 + -8) and 27/148.
148
Suppose 4*r = 1172 - 324. Find the common denominator of (11/726)/((-2)/r) and 69/10.
330
Let c = 29370671/315 + -93240. Find the common denominator of 5/9 and c.
315
What is the common denominator of -62/327 and 731/357 - 4/2?
2289
Suppose 3*v - 25 = -2*v + 3*r, v + 4*r + 18 = 0. Suppose 0*y - 2 = -v*y. Calculate the least common multiple of 6 and y.
6
Suppose s - 10 = 2. Let m = -16798 - -335869/20. Find the common denominator of m and ((-9)/s)/((-24)/(-146)).
80
Suppose 20*b - 35 = 5. Calculate the least common multiple of 71 and b.
142
Let d(m) = 1. Let x(r) = -3*r - 19. Let v(j) = 6*d(j) + x(j). Let n(a) = a**2 - 6*a - 4. Calculate the lowest common multiple of n(7) and v(-5).
6
Let b(n) = -2*n**3 - 25*n**2 + 23*n + 48. What is the smallest common multiple of b(-14) and 8?
1256
Suppose -8 = -5*f + 3*f. Let n(z) = -z**3 - 6*z**2 - 3*z + 2. Let i = -52 - -46. Calculate the least common multiple of n(i) and f.
20
Suppose 2*t + u + 56 = 6*t, 2*t = -4*u + 10. What is the least common multiple of 32 and -3 + 2 - t/(-1)?
96
Let n = -488 - -518. What is the lowest common multiple of 110 and n?
330
Let o = -3/14291329 - 507842338164/180313697993. Let i = -12345163/1147 - -10763. Let c = i + o. Calculate the common denominator of 91/8 and c.
88
Let c be 9064/9046*846300/(-16). Let o = c + 52999. Let k = o + 284933/36184. Calculate the common denominator of k and -44/17.
136
Let u(o) = o**2 - 2*o - 8. Let f be u(3). Let d(y) = -y**3 - y**2 + 11*y - 1. What is the least common multiple of d(f) and 16?
176
Let s be 100/36 - (-6)/27. Suppose 6*l = 5*n + s*l - 16, l = -n. Calculate the lowest common multiple of (-3 - -7)/(-4)*-1 and n.
2
Suppose -6 = -5*s + 14. Suppose 0*l - s*l - 31 = 5*b, 4*l - b + 13 = 0. Find the common denominator of 1/l - 334/72 and -6/7.
63
Let u = 3 - -3. Calculate the lowest common multiple of u and (-1408)/(-320) + (-5)/((-25)/(-2)).
12
Suppose o - 6 = -o. Let p(g) = -g**2 - 16*g + 9. Let w be p(-16). Let h = w - o. What is the lowest common multiple of h and 12?
12
Let i(a) = -a**3 - 6*a**2 - 5. Let w be i(-6). Let c be w - -2 - 14/(-2). Suppose -c*r = r - 35. Calculate the lowest common multiple of r and 7.
7
Let g(c) = 2333*c**2 + c + 1. Let q be g(2). Suppose -5*i - q = -10*i. Let l = i - 18649/10. Find the common denominator of l and 5/2.
10
Let y(s) = -s + 1. Let m(r) = 2*r - 2. Let o(x) = 2*m(x) + 5*y(x). Let p be o(11). Let z = p + 26. What is the smallest common multiple of z and 20?
80
Suppose -240 = 3*v - 7*v. Suppose -2*r - 2 = -4, -4*c = 4*r + v. Calculate the common denominator of -25/21 and c.
21
Let o = -3843/88 + 369/8. Calculate the common denominator of 77/10 and o.
110
Find the common denominator of 149/30 and (-24)/84 + 523/140.
60
Suppose -8*v + 42 = -v. Let d = v + 62. What is the least common multiple of d and 8?
136
Let u(k) = k. Let a(d) = 32*d - 14. Let t(w) = a(w) - 6*u(w). Calculate the smallest common multiple of 8 and t(3).
64
Let a = 14739 - 722171/49. Calculate the common denominator of a and 3/5.
245
Suppose 3*q + 3 = -3, 0 = 4*b - 3*q - 2. What is the least common multiple of (11/(-2))/((-4)/16) and ((-2)/(-4) - b)*12?
198
What is the common denominator of -53/288 and (-1)/9*(-273)/(-108)?
2592
Suppose -s - 4*n = -10 + 24, 12 = -2*s - 4*n. Calculate the smallest common multiple of s and 53.
106
What is the least common multiple of ((-9)/(1*-3))/(-24 - -25) and 37?
111
Let f = 39305093/290 - 135535. Find the common denominator of f and -9/10.
290
Let w be ((-4)/(-10930))/((-1)/(-15)). Let r = -299/339887 + -36768688093/1485985964. Let g = w - r. Calculate the common denominator of -1/6 and g.
12
Suppose -x - 4*x = u - 28, 76 = 4*u + 2*x. What is the smallest common multiple of u and 30?
90
Let p = -46 - -47. Let s(f) be the third derivative of f**4/4 + f**3/3 + 5*f**2. What is the least common multiple of s(p) and 22?
88
Suppose 4*y - 5*l = 130, 6*l = -5*y + 3*l + 144. Suppose -y = 2*x - 52. What is the smallest common multiple of x and 7?
77
Let l = -652259153/32 + 20374732. Let v = 8368 + l. Calculate the common denominator of -143/18 and v.
288
Suppose -351 = -23*h - 75. Calculate the least common multiple of h and 8.
24
Find the common denominator of (-2751)/(-378)*2/(-2) and 81/146.
1314
Let b = 10 + 1. Let t be 7/3 + (-2)/(-3). Suppose -t*i + 5*r + 42 = 0, -6*i = -i - 5*r - 60. What is the smallest common multiple of b and i?
99
Calculate the lowest common multiple of 34 and (-5)/(-100)*362 - 1/10.
306
Let z = -215628432 + 3451489441/16. Let c = z + -89556. Let y = -97 + c. Calculate the common denominator of -9/16 and y.
16
Calculate the lowest common multiple of (-8 - 4)/(3/(-9)) and 84.
252
What is the common denominator of -10*(-2)/4*1598/1175 and -103/30?
30
Let j(u) = -u**2 + 2*u**2 - 1 + 2*u - 10*u. Suppose 2*h = 5*z, 0 = -5*h - 2*z + 7 + 51. What is the smallest common multiple of h and j(9)?
40
Let p = 668 - 656. What is the smallest common multiple of 576 and p?
576
Suppose n = 3*m + 78, 19 = -m - 3*n + n. Find the common denominator of (-626)/(-140) + (3 - (-85)/m) and 43/8.
56
Let s = 151 + -141. Calculate the lowest common multiple of 500 and s.
500
Let p(z) = -z**2 - 5*z + 14. Let w be p(-6). Suppose -3*t = -5*g + 10, w*t = 3*t. What is the lowest common multiple of g and 9?
18
Suppose -23*g + 29*g - 60 = 0. Suppose 7 = r + 2. What is the lowest common multiple of (r/2)/((-4)/(-16)) and g?
10
Let q(y) = 20*y**2 + y + 15. What is the least common multiple of q(-3) and 60?
960
Let p = 1537897/2 - 69321941/90. Let l = -1295 - p. What is the common denominator of l and 71/3?
45
Suppose -4*y + m + 65 = 0, 2*y = 3*y + 5*m - 11. Let x(t) = t**3 + t**2 - 4*t + 5. Let k be x(-3). What is the smallest common multiple of (14/6 + k)*15 and y?
80
Let t = 0 + 7. Suppose -t*n + 3*n + 160 = 0. Suppose -4*b - 4*m + n = 0, -54 = -2*b - 3*b - 4*m. What is the least common multiple of b and 10?
70
Let j(t) = -t**3 - t**2 + 8. Suppose 3*m = 3*c - 63, 0*m + 2*m + 5*c = -14. Let g = -6 - m. Calculate the lowest common multiple of j(0) and g.
88
What is the common denominator of 49/4 and 3536/26880 - (-2)/(-10)?
336
Let f = 418344/4355 + 1062/335. Let c = 6421/52 - f. What is the common denominator of (4 - 19)*5/(-10) and c?
4
Let f be (2/(-8)*-6)/((-415866)/22). Let m = -179576/31505 + f. Find the common denominator of m and 151/6.
30
Calculate the smallest common multiple of (-493)/(-85) - (-8)/(-10) and 44.
220
Suppose 14*h + 180 = 24*h. Calculate the lowest common multiple of h