et g be s(4). Let t = g - -9. What is the lowest common multiple of t and (4/6)/((-2)/(-66))?
176
Let i be 3 + -3 + (-2)/38. Let x be (-205)/190*4/13. Let y = i + x. Find the common denominator of y and -20/11.
143
Let y = 17204 + -11726. Suppose -5*k - y = -2*k. Let r = k + 20101/11. What is the common denominator of r and -44?
11
Let a be ((-60206)/(-24))/(1 + 0). Let x = a - 2506. What is the common denominator of 58/(-8) + (-6)/(-4) + -1 and x?
12
Suppose -456 = -7*l - 12*l. What is the lowest common multiple of l and 60?
120
Suppose 5 = 5*x, -3*x + 7 = -h + 10. What is the least common multiple of h and 724?
2172
Let s(a) = -a**3 - 4*a**2 - 12*a + 4. Let u be s(-4). Let n = -20 + 163/8. Calculate the common denominator of -35*(4 + u/(-12)) + -1 and n.
24
Let f(y) be the first derivative of -5*y**2 - 10*y - 13. Calculate the smallest common multiple of f(-3) and 18.
180
Let x = -27137 + 488591/18. Let a = 4 + -6. What is the common denominator of x and 6/(a + (-42)/9)?
90
Suppose -3*z = c - 52, -45*z + 43*z + 56 = c. Calculate the smallest common multiple of 6 and c.
192
Let u(x) = -2*x**2 + 2*x + 26. Calculate the lowest common multiple of 11 and u(0).
286
Let n(a) = 8*a**2 - 7*a - 8. Let p be n(-3). Let v = p - 365/4. Calculate the common denominator of v and 338/(-30) - 4/(-6).
20
Suppose -11*f = 160 - 523. What is the least common multiple of f and 27?
297
Let f(p) = -p**3 + 7*p**2 + 9*p - 10. Let s be f(4). Let c = s - 58. What is the least common multiple of 7 and c?
112
Let n = -2404/3 - -785. Calculate the common denominator of n and -68/9.
9
Let k(n) = -15*n - 132. What is the least common multiple of 33 and k(-11)?
33
Suppose 2*q + 4*q - 252 = 0. Suppose -3*u = -a + 24, -4*u - 1 = -5. Calculate the smallest common multiple of a and q.
378
Let b(z) = -107*z**2 + 1. Let h be b(1). Find the common denominator of (-378)/(-8)*1032/(-6020) and h/10*(-10)/(-4).
10
Suppose -4*z + 9*z + 2*g = 100, -g = -2*z + 40. What is the lowest common multiple of 34 and z?
340
Suppose 3*o - 4*i + i = -3429, 4*o - 3*i = -4571. Let y = 20563/18 + o. What is the common denominator of y and ((-4)/(-30))/(24/2235)?
36
Let u = 264/85 + -1419/1360. Let h = -115/22 - -96/11. What is the common denominator of h and u?
16
Suppose -4*z = z - 2820. Calculate the lowest common multiple of z and 11.
6204
Let k = -99 + 103. What is the common denominator of 131/12 and (29*2/8)/((-2)/k)?
12
Suppose 5*k + 0*k = 60. Let y = 3 + 7. Calculate the least common multiple of k and y.
60
Let y(f) = f**2 + 13*f - 11. Let k be y(-13). Let s = k - -13. What is the least common multiple of s and 2?
2
What is the common denominator of 7/(-4) + 1432/224 and 111/14?
14
Suppose -4 = 2*r - 0. Find the common denominator of (-1 + r - 32)/(-6) and -5/46.
138
Let f(s) = 29*s - 139. What is the least common multiple of 88 and f(7)?
704
Let b = 19 - 13. Let a = -1346 + 1349. What is the smallest common multiple of a and b?
6
Suppose 5*z + 75 = -5*x, -63 = 3*x + x + z. Calculate the least common multiple of -6*(16/18)/(x/24) and 32.
32
Calculate the smallest common multiple of (268/7)/(-22 - (-11580)/525) and 10.
670
Let r(s) = -2*s - 11. Suppose -4*b + 25 = 229. Let h be (-1)/(b/18 - -3). What is the least common multiple of 10 and r(h)?
10
What is the least common multiple of 156 and 2 - (-1200)/35 - (-2)/(-7)?
468
Calculate the common denominator of 64/165 and (-9)/(-3) + 3 + (-37 - -6).
165
Suppose -m = -3 - 3. Suppose -m*q = -5*q - 2. Let x = q - -7. What is the least common multiple of x and 9?
9
Calculate the least common multiple of 176 and -88*((-247)/26 + 7).
880
Suppose -4*z - 10 = -m, -3*m + 2*z = -2*m - 8. Suppose -c + 4*b = m, -3*c + 33 = -0*b + 5*b. Let o = c + -1. What is the lowest common multiple of 7 and o?
35
Suppose 4*v = -v + 25. Suppose -k - 18 = 2*n + 3*n, 2*k - 3*n - 29 = 0. Suppose -2*q + g = -3*q + k, 4*g = 16. What is the smallest common multiple of q and v?
15
Let v(i) = i**2 + 18*i - 18. Let x be v(-11). Calculate the least common multiple of 14 and (-34)/(-204) + x/(-6).
112
Suppose -52 = -5*s - 4*p, -59 = 5*p - 49. Calculate the smallest common multiple of s and 816.
816
Let m(y) = y**3 + 19*y**2 + 4*y - 22. Let d(k) = k**2 - k - 1. Let l(n) = -6*d(n) + m(n). What is the lowest common multiple of l(-12) and 14?
56
Let y = 71 + 483. Suppose 3*n = -2*w + y, 4*n + 6*w - 737 = 3*w. What is the common denominator of -31/22 and -3 - (-3 - n/(-72))?
198
Suppose -3*a = -5*v + 3*v + 12, 0 = 2*a + 4*v + 8. Let l be (-2 - -11)*a/(-6). Let o = 4 + l. Calculate the smallest common multiple of 9 and o.
90
Find the common denominator of 43/120 and 4/3*(-238)/(-80).
120
Suppose 4*r - 5*o + 411 = 0, 20 = o - 5*o. Let m = r - -175/2. Calculate the common denominator of -17/10 and m.
10
Suppose -4*z = -0*z + 3*b - 8, z + 4*b - 2 = 0. Suppose -z*r = -1 - 9. Calculate the smallest common multiple of r and 10.
10
Let o = -129/298 + 13175/36803. Find the common denominator of o and -10.
494
Let p(h) = h**2 - 7*h + 21. What is the lowest common multiple of p(5) and 82?
902
Let s = 804 - 797. Let m(d) = 3*d + d - 2*d - 3. What is the lowest common multiple of s and m(2)?
7
What is the lowest common multiple of 6/(-8) + (-682)/(-88) and 14?
14
Suppose -3*u = 2*u + 60. Let o(b) = -b**2 - 17*b - 27. What is the lowest common multiple of o(-14) and (u/(-5))/(18/60)?
120
Find the common denominator of ((-1)/(-2))/(1749/(-14310)) and 18/253.
253
Suppose -4*x + 128 = 3*i, 0 = -0*x - 2*x + 4*i + 86. Suppose -3*y - 4 = 8. Calculate the least common multiple of 10 and 2/8 - x/y.
90
Let t = 9 - 9. Suppose 5*n + g - 6 - 49 = t, 4*n = 3*g + 63. Let q = 14 + -6. What is the least common multiple of n and q?
24
What is the common denominator of 151/126 and (32/(-1040)*-13)/(4/185)?
126
What is the lowest common multiple of (4/3)/((-8)/(-12)) and 148?
148
Let c(w) = -w**3 + 11*w**2 - 27*w + 5. Suppose 2*l - 14 = -0*h - 3*h, -l - 6 = -5*h. Calculate the lowest common multiple of c(l) and 4.
36
Let u = 121446 + -1334944/11. Let d = 906/11 - u. Calculate the common denominator of d and -7/2.
22
Find the common denominator of -61/501 and 11/594*5 + 5/2.
4509
Let k be (8 - 7)*(1 + -1) - -60. Let m = 72 - k. Suppose 0*o = -i + 3*o + 16, 3*o = 2*i - 26. Calculate the least common multiple of m and i.
60
Suppose 47*l - 45 = 42*l. Suppose 0 = -3*a + 5*v + 1, v + l - 34 = -3*a. Suppose 0 = 2*i - 5 - 5. Calculate the lowest common multiple of i and a.
35
Let m be (-11)/(-5) - 1/5. Suppose 2*s - m = 18. Let i(q) = 3*q. What is the least common multiple of i(6) and s?
90
Calculate the common denominator of -26/9 and ((-8)/414)/(3895/969 - 4).
207
Let a = -106 + 81. What is the lowest common multiple of a/2*156/(-65) and 18?
90
Let c be 9/663*5750548/(-320). Let f = 3903/16 + c. Let b = f + -26454/12155. Calculate the common denominator of b and 62/3.
33
Let x(o) = -o**3 + 5*o**2 - 3*o + 1. Let s be x(4). Calculate the lowest common multiple of 12 and (4/6)/(s/150).
60
Calculate the common denominator of 50/(-24) + 6/3 and (4/(-22))/((-56)/42).
132
What is the smallest common multiple of 78 and ((-72)/(-32))/(((-1)/16)/(-1))?
468
Let h be 246*-3*3/(-396). Let p = h + 21/11. Find the common denominator of p and 11/6.
6
Let k(f) be the second derivative of f**5/10 - f**4/2 - f**3/6 + 2*f**2 - 2*f. What is the lowest common multiple of 3 and k(3)?
3
Let k = 37212 + -2530349/68. Find the common denominator of 13/8 and k.
136
Let l(c) = c**2 - 10*c - 2. Let i be l(10). What is the common denominator of -7/16 and 481/78 + i/8?
48
Suppose 6*q - 52 = 56. Suppose -21*n + 246 = -q*n. Calculate the least common multiple of n and 16.
656
Find the common denominator of -101/158 and 4 - (40/32)/(3/(-2)).
474
Let q = -315 - -375. Calculate the lowest common multiple of 36 and q.
180
Suppose 2*d - 27 + 19 = -5*g, g - 5 = 3*d. Calculate the lowest common multiple of g and 158.
158
Let i(m) = 2638*m**3 - m**2 + 4*m - 2. Let c be i(1). Let f = -15973/6 + c. What is the common denominator of f and 139/12 - (-2)/6?
12
Suppose -2 = -2*y + 2*o, -20*y - 2*o = -18*y - 22. What is the lowest common multiple of y and (3 - -1)/(1*2)?
6
Let k = -14355 - -344431/24. What is the common denominator of -187/60 and k?
120
Suppose 670*h - 21 