 -2*k + 1 = -r. Let h = -25 - -41. Calculate the lowest common multiple of h and k.
80
What is the common denominator of 101/24 and ((-1)/(-8))/(220/5840)?
264
Let c = 1588/7 + -1558/7. Let o be 5 + 5 + 0/(-1)*1. Find the common denominator of c and ((3/(-9))/(-1))/(o/321).
70
Let o = -5975 + 71741/12. What is the common denominator of -101/126 and o?
252
Let v be (-4)/(-12)*(2 - -16). Let r be ((-10)/(-4))/(3/v). Suppose r*o + 21 = 8*o. What is the least common multiple of 11 and o?
77
Let w = 28 + -10. What is the smallest common multiple of 32 + 3 - 119/17 and w?
252
Suppose 2*x - 6 = 0, -x + 0*x + 67 = 4*v. Let y = v - 14. Find the common denominator of -55/12 and y/(-1) - 333/(-42).
84
What is the least common multiple of (-8)/(-6) + 4738/618 and 15?
45
Let k = 212 + -198. What is the smallest common multiple of 70 and k?
70
Let q = -1224 - -20823/17. Calculate the common denominator of -1 - (-3 + (-460)/(-45)) and q.
153
Let l be (22/10 - 1)/(3/(-10)). What is the common denominator of (868/528)/7*(6 + l) and (-2 + 87 + 2)/(-22)?
66
Let q be (-224)/10 + 6/15. Let a be (0/(-2))/(q/11). Suppose 4*g - 3*s - 88 = a, 3*g + s = 5*s + 66. Calculate the lowest common multiple of g and 12.
132
Suppose -57 = -3*m + 5*j, -2*j + 27 = m - j. Suppose 5*o - m - 31 = 0. What is the least common multiple of 3 and o?
33
Suppose -w = 3*w + 3*f - 51, 3*w - 48 = f. Let s = -45 - -78. What is the least common multiple of s and w?
165
Suppose 4*r + 5*x = -3, 4*r = r + 2*x - 8. Let q be (-15729)/39210 + r/(-5). Let m = q + -69917/6535. Find the common denominator of -43/6 and m.
30
Let s be (1 - -1) + (-4)/(-4). What is the common denominator of 137/21 - (-1)/s and 6 - (-9)/((-63)/68)?
7
Let l(a) = 9*a + 36. Let q be l(6). Suppose 0 = -5*z + 5*f + q, -f + 15 + 37 = 4*z. What is the lowest common multiple of z and 16?
112
Suppose 9*b = 7*b + 6. Suppose -5*l = 3*i - 21 - 12, -b*i - 3*l = -33. Calculate the smallest common multiple of 19 and i.
209
Let q = 62297/8 - 7777. Suppose -2 + 9 = 3*b + 4*n, 0 = -3*b + n + 17. What is the common denominator of (-2763)/720 - 3/b and q?
16
Suppose -x - 2 = -i + 6*i, -x - 2 = -i. What is the common denominator of (-1)/(-11)*(-36 + (i - -1)) and -5/66?
66
Let w = -173/460 - 19/20. Find the common denominator of w and -21/22.
506
What is the least common multiple of 15*(-8)/(-30)*6 and 78?
312
Let l(o) be the second derivative of o**3/2 - o**2 + 9*o. Let s(y) = 14*y - 9. Let v(c) = 11*l(c) - 2*s(c). What is the lowest common multiple of 1 and v(3)?
11
Let s = -85 + 28. Find the common denominator of s/76*35/(-9) and -95/14.
84
Suppose -g + 25 = 4*g - 5*r, 2*r = 10. Let y be 16/6*(2 + -5). Let m = 10 + y. What is the smallest common multiple of m and g?
10
Let t = -35837/30 - -7205/6. What is the common denominator of 68/4*2/60 and t?
30
Let s(b) be the second derivative of -b**3/6 - b**2/2 + b. What is the smallest common multiple of s(-5) and 15?
60
What is the smallest common multiple of (-22)/(4*(-2)/12) and (-3 - -1)*153/(-34)?
99
Suppose -6*k + 15 = -k + 4*m, -3*k = -5*m - 46. Let x be (5/1 - 2)*-1. Calculate the least common multiple of k and x/((-81)/6) + 291/27.
77
What is the common denominator of ((-17)/68)/((6/(-2))/(-111)) and -73/936?
936
Let v = 1041 + -3088/3. What is the common denominator of v and -1/230?
690
Let g be ((-172)/44 - -4)/((-4)/157788). Let t = g - -3581. Let r(o) = -o**3 + 2*o**2 + o. Calculate the common denominator of t and r(2).
11
Let p be 5*-1 + (-52)/13. Let j = -12317/112 - -1467/14. What is the common denominator of j and 3/p + (-1)/((-8)/(-62))?
48
Suppose 3*c + 10 = 2*z, c = -5*z + 3*c + 3. What is the smallest common multiple of 0 + 3 - 1 - (z + 1) and 4?
4
Let h be (-2)/(-10)*-121 + 1/5. Let i = 497/18 + -161/6. Find the common denominator of 1 - ((-125)/h)/((-1)/(-4)) and i.
18
Let q(x) = x**2 + 4*x**2 - 2 - 3*x**2 + x - x**2. What is the smallest common multiple of q(4) and 33?
198
Let z = 3 + 67. Calculate the common denominator of 203/z - 4/2 and 57/2.
10
Suppose 0 = -2*z - z + 108. Suppose -z = -2*q - q. Let b = 26 + -12. What is the least common multiple of b and q?
84
Let y be (542/3)/((-2)/6). Calculate the common denominator of 21/16 and y/60 + 10/30.
80
Find the common denominator of 93/4 and (1561/20)/(-7) - (-10)/40.
20
Let s = -27365206241/20755164 - -153/101741. Let q = s + 15835/12. Calculate the common denominator of 35/16 and q.
816
Let f(n) = -10*n + 174. Calculate the least common multiple of f(6) and 42.
798
Let w = 7 + -11. Let m = -72 + 77. Calculate the smallest common multiple of (-22)/(-8) + (-1)/w and m.
15
Suppose 63*r - 180 = 54*r. What is the smallest common multiple of 12 and r?
60
What is the lowest common multiple of 33 and (-4 - (-27)/6)*4 - -4?
66
Let j = -3 - -6. Suppose -3*y - j = l, 3*y = 3*l - 2*l - 9. Suppose -5*p + n = -20, p + l*n = -4*p. What is the lowest common multiple of 8 and p?
24
Suppose -70 = -4*b + 34. Calculate the smallest common multiple of 60 and b.
780
Let k = -3 + 6. Calculate the common denominator of 5 + (592/11)/(-8) and k.
11
Let s(g) be the third derivative of g**6/120 - g**5/60 - g**4/6 - 5*g**3/6 + 2*g**2 + 23. What is the lowest common multiple of 5 and s(3)?
5
Let l(d) = d**3 - 10*d**2 + 25*d. What is the smallest common multiple of 10 and l(6)?
30
Let i = 1551 + -1546. What is the lowest common multiple of i and 10?
10
Let d(f) = f**3 - 16*f**2 + 18*f - 27. Let z be d(15). Suppose -6*m = -108 + z. What is the lowest common multiple of 33 and m?
165
Suppose 0 = -3*t + 49 + 8. Let n = -13 + t. Let i = n - -2. Calculate the lowest common multiple of i and 4.
8
Suppose 0 = -2*k + 7*k - 270. Calculate the lowest common multiple of (k/8)/(12/32) and 16.
144
Let z = 488 - 487. What is the least common multiple of 27 and z?
27
Suppose a - j = 6*a + 55, 0 = -5*a - 3*j - 65. Let q = 12 + a. Suppose 0 = -p + q + 1, -p - 47 = -5*d. Calculate the smallest common multiple of 16 and d.
80
Let r = -3505465/8 + 436979. Let y = -1202 - r. Calculate the common denominator of 87/14 and y.
56
What is the common denominator of (-6)/12*31/3 and ((-7)/(315/(-62)))/((-7)/35)?
18
Let v = 1374 - 30201/22. Suppose -2*j - 42828 = 2*j. Let x = 235473/22 + j. Calculate the common denominator of x and v.
22
Let q = 11 - -22. What is the least common multiple of 33 and q?
33
Suppose 43 - 138 = -5*f - 5*a, 0 = -10*f + 4*a + 148. Let q be -2 - -4 - (0 - -7). Let v(s) = -3*s + 3. What is the smallest common multiple of f and v(q)?
144
Calculate the least common multiple of 36 and (2716/(-18))/(-7)*9.
3492
Let c = -86 + 101. What is the smallest common multiple of c and 21?
105
Let t(g) = g**3 + 4*g**2 + 3*g + 3. Let x be t(-3). Let b be (x - -1)*(-14)/4. What is the common denominator of -43/14 and (-2406)/(-924) + 4/b?
154
Suppose -5*u = -4*z + 141, 3*z - 4*u = 64 + 41. Calculate the lowest common multiple of z and 9.
117
Let y = -1725 - -789. Let r be (-1)/(-2)*(-1785 + -4). Let b = r - y. What is the common denominator of b and 95/6?
6
Suppose 3*d + 2*d = -4*b - 5297, 3*d + 3 = 0. Let z be (466/(-12))/((-5505)/b). Let q = z - -12/367. Calculate the common denominator of 7/6 and q.
30
Let s be (-3)/(-4 + 116/28). Let w = 31 + s. Calculate the least common multiple of 16 and w.
80
Let v = -31461/1798 + -2/899. Find the common denominator of -10/143 and v.
286
Let y(q) = -q**3 + 3*q**2 + 29*q. What is the smallest common multiple of y(-6) and 30?
150
Let s(y) = -5*y**2 + y**2 - 2*y + 5*y + 2*y**2 + 4 - y**3. Let i be s(-6). Calculate the common denominator of 4/(-4) - i/(-16) and -3/22.
88
Let n = -13 - -54. Find the common denominator of 465/30*1/3 and n.
6
Let y(a) = 2*a - 26. Let s be y(14). Suppose -s*q + 51 = 2*b - 1, -2*q - 74 = -4*b. What is the lowest common multiple of b and 24?
168
Let l(q) = q**2 + 2*q - 2. Let c be l(-3). Calculate the least common multiple of -6*c/((-1)/2) and 291/18 + (-8)/48.
48
Suppose -30 = 11*n - 9*n. What is the common denominator of (54/(-12))/(n/12 - 2) and 43/9?
117
Let k(q) = 45*q**3 - 2*q**2 + 10*q - 8. What is the least common multiple of k(1) and 9?
45
What is the common denominator of -87/2 and -3 + 88/33 - (-202)/60?
30
Let v = 8 + -3. Suppose 48 = 4*f - 24. What is the least common multiple of f and v?
90