181. Suppose -3*i - 2*i + c = 0. Calculate the least common multiple of i and 80.
720
Let z = -4 + 11. Suppose -z*m + 6 = -10*m. Find the common denominator of 89/16 and 1/m - 2/22.
176
Suppose -12*l + 88 = -20. What is the smallest common multiple of l and 39?
117
Suppose -10*h + 73 = -87. Calculate the least common multiple of h and 16.
16
Let z(h) = -h**2 - 8*h - 1. Let g be z(-7). Let x = -24 + g. Let q = x - -24. Calculate the smallest common multiple of q and 10.
30
Let i be 2/(-10) - (-574)/70. Suppose -i*c + 33 + 31 = 0. Calculate the least common multiple of 18 and c.
72
What is the common denominator of (-36)/24*(-2)/(-60) and 3 + 95/(-50) - 2?
20
Let z = 50 - 46. Calculate the least common multiple of 7 and (22/z)/((-28)/(-8) + -3).
77
Let h = -512861/132 + 31087/8. Calculate the common denominator of 71/14 and h.
1848
What is the common denominator of ((-385)/(-42))/11 - -11 and -19/10?
30
Let k = -6391/12 + 532. Find the common denominator of k and 163/78.
156
Let y = -143 + 955/6. Find the common denominator of y and 22/95.
570
Let w = -63601/13048 - 1/1631. Let l = 193/24 + w. Let u = 59572/11 - 5420. Find the common denominator of l and u.
66
Let b = -11 + 9. Find the common denominator of 71/(-1 - 0 - -9) and b*2/(-24)*-65.
24
Let w be (-300686)/(-81004) - 2/(-11). Let r = w + -66/263. Calculate the common denominator of r and 55/2.
14
Let g be (-1 - (-2346)/104)/((-189)/(-16)). Let y = -53/91 - g. Find the common denominator of 149/30 and y.
270
Let b(i) = i**3 - i**2 - i + 4. Let a be b(0). Let j = -6421/300 - -758/25. What is the common denominator of j and (-2)/(-9)*(-345)/a?
12
Let c = -6023/6390 - 2/1065. What is the common denominator of c and (6/112)/(99/3916)?
126
What is the common denominator of 3/10*89/(-3) and 21/(-84) + (1 - 15/132)?
110
Let a = 443177/36426 - -1/6071. Find the common denominator of a and 155/156.
156
Suppose -4*c + 41 = 5*p, p + 2*p + 1 = 4*c. Suppose 4*d + 99 = 2*d - t, -c*d - 3*t = 195. Let z = -29 - d. What is the least common multiple of z and 6?
66
Suppose 0 = -5*o + 39 + 6. Calculate the lowest common multiple of o and 125.
1125
Let s(u) = 2*u**3 - u + 1. Let g be s(1). Calculate the common denominator of -3/4 and (g/12)/((-8)/236).
12
Let i = 1810289/6 + -306216. Let p = i + 4490. Find the common denominator of p and -3/31.
186
Let y(b) = 6*b - 8. Suppose -z - 4 = -3*z. Calculate the smallest common multiple of z and y(7).
34
Find the common denominator of ((-5)/(-8))/((-126)/(-154)) + 1 and -43/9.
72
Let h = 5 - 1. Let f be 363/6 + 6/h. Suppose 4*v + 5*a = 3*a + 52, -5*v - a = -f. What is the lowest common multiple of v and 2?
12
What is the common denominator of -30/7 and 15/21 + 440/28000?
700
Let t = 41213/18270 - 128/145. Calculate the common denominator of 25/72 and t.
504
Find the common denominator of -3/8 and (-1071)/(-68)*(-36)/1022.
584
Let k = 454/29 - 13621/783. What is the common denominator of k and -8/63?
189
Suppose -11*m = -18*m + 28. Calculate the smallest common multiple of 12 and m.
12
Suppose -5*k + 5 - 10 = 0, 3*z - 8 = 5*k. What is the smallest common multiple of 33 and (10 - -3) + -1 + 3/z?
165
Suppose -49 - 32 = -3*r. Calculate the common denominator of 89*-3*(-3)/216 and (7/r)/((-2)/33).
72
Suppose -10*h - 7*h + 48 = -5*h. Let m = -26 - -37. What is the lowest common multiple of h and m?
44
Let n = 284358637229357/14040 - 20253464181. Let y = 1/7020 - n. Find the common denominator of y and (-448)/(-20)*(-7)/(-14).
40
Let w be (-15)/(-4)*(-2)/18*2. Let c = 98/3 - w. Calculate the common denominator of c and -41/6.
6
Let h = 1106792/597 + -1842/199. Let d = -1828 + h. What is the common denominator of d and ((-4)/6)/((-8)/(-56))?
3
Let g(d) = 28*d - 1. Let k(t) = t - 12. Let y be k(9). Let r be g(y). Find the common denominator of -3/2 and r/(-6) + 1 + 2.
6
Suppose 0 = -2*l - 10 - 0. Let a be -8*5*2/l. Suppose -25 = -2*o - u, -3*o + 2*u + 4 = -a. Calculate the smallest common multiple of 10 and o.
10
Suppose y - 4*y = -2*f + 6, -5*y = 3*f - 9. Calculate the lowest common multiple of 32*f/(4 - -2) and 20.
80
Let j = 3/17 + -499/34. What is the common denominator of 7/34 and j?
34
Let z(a) = -44*a**2 - 26*a + 5. Let d be z(-4). Let w = d - -10835/18. Calculate the common denominator of 1/18 and w.
18
Let h = 1170 + -18695/16. Calculate the common denominator of h and 13/12.
48
Let v be 2/3*34140/8. What is the common denominator of -47/33 and 8/14 - v/(-840)?
264
Suppose -2*s - 3 = z + 2*z, 5*z + 3 = -4*s. Suppose -205 = s*w + 71. Calculate the common denominator of 8/24 - w/18 and -41/5.
45
What is the common denominator of (-1)/(-24)*(-294)/(-28) and (-123)/(-36) - 2 - 1?
48
Let d(k) = 382*k**3 + k**2 + k + 1. Let p(a) = 3*a - 22. Let b be p(7). Let g be d(b). Find the common denominator of 111/10 and (-4)/16 - g/(-36).
30
What is the common denominator of 39/14 and 786/(-280) - (21/(-5) - -4)?
28
Suppose 10*o - 36 = 24. Calculate the lowest common multiple of o and 46.
138
Let c(u) = -u - 6. Suppose l + 5*l - 294 = 0. Let f = l - 40. Calculate the smallest common multiple of c(-7) and f.
9
Let p = -120 - -122. Let m = -53 - -24. Calculate the smallest common multiple of (-2)/(-3 + m/(-10)) and p.
20
Let n(v) = -v**3 + 5*v**2 - v - 1. Calculate the smallest common multiple of n(2) and 46.
414
Let u = 1177 - 1167. Calculate the least common multiple of 25 and u.
50
What is the common denominator of (-4)/6 + 2296/816 and 1/4?
68
Let q = -2105807/430 - -70147/43. Let g = q - -3260. Let a = 1175 - 5909/5. Calculate the common denominator of g and a.
10
Let v(x) = -x**3 - 9*x**2 + 10*x + 5. Let f be v(-10). Suppose 5 = -f*l + 15. Calculate the lowest common multiple of ((-8)/24)/(l/(-84)) and 8.
56
Suppose 27 = 5*t + 2. Suppose 0 = -4*w + 5*w + 3*c - 16, -3*c = -t*w + 8. What is the least common multiple of w and (-78)/65*20/(-3)?
8
Calculate the common denominator of -107/40 and 1/4 - (-891)/(-504).
280
Let a be 14/21*(0 + -54). Calculate the least common multiple of 18 and (-35)/(-3) - 12/a.
36
Let h = 2891 - 57759/20. What is the common denominator of -101/268 and h?
1340
Let g be (3/120)/((-6)/(-824)). Let y be (6/16 - 0)/((-18)/(-56)). Let r = y + g. Calculate the common denominator of r and 46.
5
Let h be (342/27)/((-2)/3). Let o be -1*(-1 + 0) + h. Calculate the common denominator of -3/10 and (-490)/(-50)*(-5)/o.
90
Let w = -6601/330 - -216/11. Find the common denominator of w and ((-2)/48)/(3/(-428)).
90
Let i = 10 + -6. Suppose 0*a + 6*a = 0. What is the least common multiple of i and a - (-5 - (-4)/(-1))?
36
Let t = 57109/1080 - 1426/27. What is the common denominator of t and -105/22?
3960
Suppose 5*q - 1 = -s, 4*q + 4*s = -1 + 5. Suppose -5*i + 2*n = -q*n - 138, -3*n = -i + 38. What is the smallest common multiple of i and 20?
260
Let l = -182 - -193. Let p(a) = -a**3 + 3*a**2 + 3*a + 3. Let f be p(4). Calculate the least common multiple of l and (1 - 2)/f*5.
55
Let d(a) = 2*a**2 - 6*a - 30. Calculate the least common multiple of d(-6) and 4.
156
Let x = 997 + -601. Calculate the smallest common multiple of 1/4 - 4/((-64)/x) and 5.
25
Suppose -5*p + 5 = -45. Let i(t) = 3*t + 36. Let q(r) = -r**3 + 10*r**2 - 15*r - 14. Let k be q(8). What is the least common multiple of i(k) and p?
90
Let q(m) = -9*m**3 - m**2 - m. What is the smallest common multiple of q(-1) and -1 - (-9)/(-1)*3/(-9)?
18
Suppose -4*a - a - 36 = -3*v, -5 = v + 4*a. Suppose v*m - 3*m - 48 = 0. Calculate the lowest common multiple of m and 4.
12
Let n = -804 + 8859/11. Let w = -4991/2 - -2527. What is the common denominator of n and w?
22
Let d be 0*1*2/(-4). Let r(a) = a**2 - 10*a + 11. Let x be r(1). Suppose 2*z = -x*l - 2*z - 2, d = -3*z - 9. Calculate the smallest common multiple of 4 and l.
20
Let y = 289 - 274. What is the least common multiple of 15 and y?
15
Let z = 30285/18898 - 10/859. Calculate the common denominator of z and -97/2.
22
Let h = -512 + 524. Calculate the smallest common multiple of h and 6.
12
Let u = -315 + -225. Calculate the lowest common multiple of (-1 - 0)/((-8)/16) and 8/20 - u/25.
22
Suppose 19*a = -41 + 117. What is the least common multiple of a and 6?
12
What is the common denominator of 53/20 and -2*14/(-320)*(2 - 36)?
40
Let b = 7 - -2. Suppose -3