-q + 9. Calculate the smallest common multiple of y(-3) and c.
48
Let a be (-6)/(-4)*4/3. Let h = 5 + a. Suppose -4*c - 29 = -3*r, -75 = -5*r - 3*c - 17. Calculate the least common multiple of h and r.
77
Suppose -4*u + 20 = 0, -4*u = 4*i - u - 15. Suppose 0 = -c - i*c - m, -10 = 2*c + 4*m. Let h = -2 - -9. Calculate the smallest common multiple of h and c.
35
Suppose -n + 6 = -2*o, 11 + 1 = -2*n - 2*o. Let l(s) = -15*s + 4. Calculate the smallest common multiple of l(n) and 18.
306
Let u = -373/3 + 5309/42. Calculate the common denominator of u and (-137)/(-12) - 18/6.
84
Let h be (-2)/4 + 24/48. Let k = -2 - -6. Suppose -24 = -k*m - h*m. Calculate the lowest common multiple of 8 and m.
24
Let g(p) = -p**2 + 8*p + 5. Let k be g(3). Let j = 169/18 + -2273/198. Calculate the common denominator of (-423)/k - 9/15 and j.
44
Suppose 4*x - 2*w = 756, 6*w - 7*w = -4*x + 760. Calculate the least common multiple of x and 1.
191
Suppose 4*l = 4*y + 40, -22*y - 35 = -2*l - 23*y. Calculate the least common multiple of 6 and l.
30
Let z be ((-3)/(-2))/(6/8). Calculate the common denominator of ((-34)/(-459))/(2 + 538/(-267)) and 39/20 + z/4.
180
Suppose -2*q + 5*o = -39, -4*q + 138 = -2*o + 20. What is the smallest common multiple of 12 and q?
96
Let x be ((-20)/6)/(36/(-162)). What is the lowest common multiple of 35/5 - 1 - 2 and x/(-6)*72/(-15)?
12
Suppose 5*a + 2*i + 2*i - 90 = 0, -i - 65 = -5*a. Suppose -7 = 2*p - 3. Let l = p + a. What is the lowest common multiple of 4 and l?
12
Let b be (-1)/(-12)*170514/(-1140). Let d = b - -56/95. What is the common denominator of -5/11 and d?
88
Suppose -7*s = -2*s - 60. Suppose -4*o = -0*o - s. Calculate the lowest common multiple of 3 and o.
3
Suppose -2*q - 74 = -80. Suppose k - 6 = -7*y + 4*y, 18 = q*k - 5*y. Suppose -5*s = -0*s - 30. Calculate the lowest common multiple of k and s.
6
Suppose 4*w - 33 = -1. What is the lowest common multiple of 14 and ((-6)/w)/((-18)/144)?
42
Suppose 5*c = 1 + 9. Suppose 3*w - o + 113 = 0, -4*w - 153 = -o + 2*o. Let m = -22 - w. What is the smallest common multiple of m and c?
16
Let y(s) = 30*s - 3. Let u(i) = 60*i - 7. Let g(q) = 2*u(q) - 5*y(q). Let m be g(-3). Calculate the common denominator of 14/m + (-1319)/(-130) and -44/5.
10
Let k be 16 + (1 - 3) - 4. Suppose -8 = -q + k. What is the least common multiple of q and 8?
72
Let i = -1/417 + 17935/1668. Let a = 1720635/32897 - 174000898655/3300950774. Let b = a - 2/4561. Find the common denominator of b and i.
44
Let a be 0 + 2*(0 + 1). Suppose -7*h = a*h - 81. What is the lowest common multiple of h and 2?
18
Suppose 0 = -4*f + 2*h - 7*h + 3, 2*h = -2. Calculate the smallest common multiple of 2 and (-4)/(60/(-207)) + f/10.
14
Suppose -24 = -5*c - u + 50, c - 16 = u. Let b be ((-20)/c)/(386/72). Let l = -13217/2702 - b. Calculate the common denominator of -43/8 and l.
56
Let y(c) = 7*c - 2. Let x be y(3). Suppose -x = 3*b - 1. Find the common denominator of 752/(-132) - 8/b and 52/11.
11
Let a = 188 + -143. Calculate the least common multiple of a and 50.
450
Let w be (-2 + -2084)*5/(-15)*-3. Let i = w - -16611/8. What is the common denominator of 51/130 and i?
520
Let p = 2493/80 - 385/16. Find the common denominator of 21/11 and p.
110
Let l = 439 + -376. Calculate the smallest common multiple of 42 and l.
126
Let u = -105 - -210. Let s = -91 + u. Let g = -6 + 10. Calculate the lowest common multiple of s and g.
28
Find the common denominator of 85/(-408)*12/3 and (-1 - -1) + (-66)/(-100).
150
Let t(y) = -y**3 - 4*y**2 - 3*y - 4. Let f = 20 + -14. Let s = 10 - f. What is the lowest common multiple of t(-4) and s?
8
Let j = 10517 + -10509. What is the least common multiple of (0 - 4)*(-4)/8 and j?
8
Let y(s) = -s**3 - 10*s**2 + 4. Let a be 1/2*24/4. Suppose 0*i = a*i + 30. Calculate the lowest common multiple of 4 and y(i).
4
Let x = -84 + 436/5. Calculate the common denominator of x and 21/25.
25
Let o = -1/1790 + -1607/7160. What is the common denominator of 107/40 and o?
40
Let h = 1374797/222192 + 1/13887. Calculate the common denominator of h and 85/4.
16
Let z be -456 - (6 - (-1 - -12)). Let c be 1366/18*(-6)/1. Let o = c - z. Find the common denominator of o and -47/8.
24
Suppose 0 = q - 1. Let j = -36 + 40. What is the lowest common multiple of 14 - (-2 - -3 - q) and j?
28
Suppose j = 2*k - 4 + 2, 2*j = -3*k - 11. Suppose -y + 2 = -4*y - 4*o, 2*y - 5*o - 14 = 0. What is the least common multiple of y and 1/j - 162/(-8)?
20
Suppose -5*m + 60 = -40. Find the common denominator of (-34)/m + 0/(-3) and 4 - (9 - 33/42).
70
Suppose 0 = 5*f - f + 24664. Let x = 29738663 - 654114973/22. Let s = x + f. Calculate the common denominator of s and -11/18.
198
Let p be (12 + 3)*3/9. What is the common denominator of 3/5 and 1/p*-66 - (1 + -2)?
5
Let x = -446 + 2707/6. What is the common denominator of x and (3892/336)/((-1)/(-2))?
6
Let p = -284 + 302. What is the lowest common multiple of p and 12?
36
Suppose -4*o + 4*h + 170 = -h, 215 = 5*o - 5*h. What is the least common multiple of 36 and o?
180
Suppose 0 = -c - 10*c + 792. What is the least common multiple of c and 18?
72
Let w = 62 + -17. What is the smallest common multiple of w and 10?
90
Suppose 2 - 8 = 6*k. What is the common denominator of 73/20 and k/40*(40 + 7)?
40
Suppose -223*w - 3*h - 60 = -227*w, -5*w = 2*h - 98. What is the lowest common multiple of 456 and w?
1368
Let m(a) = a**3 + 4*a**2 + a - 6. Let p be m(-3). Calculate the common denominator of 19/4 and ((-6)/(-4) - p)/(126/(-511)).
12
Suppose -2*k = -5*g + 116, g - 4*k = -3*g + 88. Suppose -5*j = -g - 6. Calculate the smallest common multiple of 4 and j.
12
Let n(p) = -4*p**2 + 49*p - 78. Calculate the least common multiple of 168 and n(10).
168
Suppose -4*n - 293 = -37. Calculate the common denominator of 5/10*-6 - 516/n and -44/3.
48
Let b be 77/(-242)*(-20)/(-81). Let d = b + -1/81. What is the common denominator of d and -32/11?
11
Let y = -225 + 243. What is the lowest common multiple of 42 and y?
126
Let c(j) = 4*j + 88. Calculate the lowest common multiple of c(-17) and 158.
1580
Find the common denominator of 5/34 and (-5)/16*(-2760)/46.
68
Let q = 54953451 - 222231831/4. Let g = 601372 + q. Let t = 3153 + g. Calculate the common denominator of t and -17/4.
4
Let c = -2000 + 19959/10. Find the common denominator of 123/168 - (0 + -1) and c.
280
Let g = 9318 + -111749/12. What is the common denominator of -20/9 and g?
36
Let s(n) = -2220607*n**2 - 4*n + 5. Let p be s(-6). Let f = -364055070085/4554 - p. Let j = f + 22/207. Find the common denominator of j and 79/8.
88
Let d be ((-49516)/(-12) - 0)/166. Let c = d - 168/83. What is the common denominator of -41/20 and c?
60
Let q(p) = 91*p**3 + p**2 - 2*p - 3. Let m = -29 - -27. Let h be q(m). Let b = h - -2963/4. What is the common denominator of b and -45/7?
28
Let u(x) = 18*x**2 - 6*x + 6. Calculate the smallest common multiple of 12 and u(1).
36
Calculate the smallest common multiple of 2/(((-44)/(-280))/11) and 12.
420
Let q(w) = -w**3 + 16*w**2 - 16*w + 2. Let j be q(15). Let z = j - -15. Calculate the lowest common multiple of z and 2.
2
Let x(u) = -u**3 + 6*u**2 - u + 10. Let f be x(6). Suppose -8 - 2 = -f*v - 2*m, 3*m + 17 = 2*v. What is the least common multiple of v and 11?
44
Calculate the common denominator of (-896)/(-210) - (-1 - -11) and -1/21.
105
Let j(u) = -u**3 - 15*u**2 - 15*u - 13. Let n be j(-14). Let g = n + 7. What is the lowest common multiple of g and -1 - (-2)/((-4)/(-26))?
24
Suppose 0 = a + 3*n + 26, 4*a + 43 = -n - 17. Let y = 16 + a. What is the lowest common multiple of 8 and y?
8
Calculate the least common multiple of ((-99)/(-5))/(48/160) and 3.
66
Let m(a) = 8*a - 34. Let c be (-258)/(-2)*(-20)/(-15). Suppose -4*n - 142 = -3*t, 3*t - n - c = -3*n. What is the smallest common multiple of t and m(7)?
594
Suppose -z + 0*z = -5, -3*u - 4*z + 3254 = 0. Suppose d + d = u. What is the common denominator of -85/2 and -1 + (d/(-20))/7?
20
Let g = -2023066/3585 - 23/1195. Let x = -131 - 415. Let v = g - x. What is the common denominator of v and 71/9?
9
Let q be (2 + -2)*((-36)/(-8) + -5). What is the least common multiple of 636/32 + q + 1/8 and 6?
60
Let v = 217361/5302 - 901/22. Find the common denominator of v