e smallest common multiple of 53 and (-134)/1005 - (-47)/15?
159
Suppose 0 = 20*t - 19*t - 108. Calculate the common denominator of -113/6 and 223/t + (-4)/6.
108
Let r(z) = -z**3 + 2*z**2 + 9*z - 7. Let g be r(3). Let q = g + 13. Calculate the lowest common multiple of 3 and q.
24
Suppose -55 = -5*a + 2*d, 21 = -3*a + 3*d + 63. What is the lowest common multiple of 15 and a?
45
Let d = 52 + -36. Suppose -15*b = -d*b + 80. Calculate the common denominator of 79/4 and (-60)/b*404/6.
4
Let z(s) = -s**2 - 12*s - 17. Let y be z(-9). Let h be ((-25)/y - -2)*0. Suppose 11*w - 4*w - 154 = h. What is the lowest common multiple of w and 6?
66
Let b be 3/(-2)*8/6. Let f = 1/7338 + 44435/4892. Calculate the common denominator of 54/20 + (0 - b) and f.
60
Suppose t + 2*w - 4*w - 18 = 0, -3*t = 4*w - 84. Calculate the least common multiple of t and 38.
456
Let u = 1016669/36 + -28245. Find the common denominator of u and -7/156.
468
What is the common denominator of ((-25)/(-3))/(-3 - 176/(-32)) and 173/168?
168
Let m = 15602761/120 - 130022. What is the common denominator of -19/156 and m?
1560
Suppose -m + 7 = -13. Find the common denominator of m and (0 - -3)/(74/185).
2
Let i = -381971/20300 + 1907/100. What is the common denominator of -47/28 and i?
812
Let f be (-3)/30*52/20. Let o = f + 253/50. What is the common denominator of o and -34?
5
Let g(o) = 3*o**2 + 23*o - 186. Calculate the least common multiple of g(6) and 120.
120
Let r(w) = -8*w - 58. Calculate the least common multiple of 360 and r(-9).
2520
Let l be (-46)/(-8) - 2/(-8). Suppose -8*a = -6*a - l. Calculate the least common multiple of a and -2 - (2 + -12 + -1).
9
Let o = 187 - 96. What is the common denominator of -34/33 and (-298)/42 + 39/o?
33
Let m be ((-28)/60 + 3/(-15))*120. What is the common denominator of (-145)/m - 2/(-16) and 59/7?
112
Let q be (-944)/(-11)*(-8)/1224*3. Let v = -44/51 + q. What is the common denominator of v and 59/5 - (-1 + 1)?
55
Suppose 2*z + 14 = -5*n, 3*n + 0*n = 2*z - 2. Let s(k) be the first derivative of -k**4/4 + 2*k + 12. Calculate the smallest common multiple of 12 and s(n).
60
Suppose -27 = -6*c - 3. Find the common denominator of 29/76 and (-226)/32 + c - 0.
304
Let h(r) = r**3 - 2*r**2 + 1. Suppose 3*u + 9 = -0*u, -5*t + 31 = -2*u. Suppose -12*l - t = -13*l. What is the lowest common multiple of l and h(2)?
5
Let i(t) = -t**3 + 64*t**2 + 64*t + 79. Calculate the least common multiple of 140 and i(65).
140
Let j = 115 - 38. What is the smallest common multiple of j and 110?
770
Let i = 7 - 11. Suppose -9*u + 5 = -8*u. What is the smallest common multiple of (-1)/i - 27/(-36) and u?
5
Let w be 4/18 + (-656)/36. Let x = -13 - w. What is the lowest common multiple of (-1)/x + 124/20 and 2?
6
Let m be (-4)/((-43)/322*-4). Let s = m + 9195/602. Find the common denominator of s and 51/16.
112
Let t be 5 - (35654090/5535675 + -2). Let b = t + 2/18765. What is the common denominator of b and -71/8?
472
Let t(i) = 6*i**3 + 4*i**2 + 8*i + 1. Let p be (-578)/153 + (-4)/18. Let k be t(p). Calculate the common denominator of k/(-72) + 2*1 and 25/22.
88
Suppose 3*d - 6 = d. Calculate the common denominator of (d/(-2))/((-6)/70) and 47.
2
Suppose 136 - 152 = -4*m. Calculate the lowest common multiple of m and 34.
68
Suppose -7*a + 32 + 2572 = 0. What is the least common multiple of 16 and a?
1488
Let z = 18337779 + -146481883/8. Let q = z - 27593. Let f = q - -2333/56. Find the common denominator of -13/5 and f.
35
Let g = 3/47 - -311/282. What is the common denominator of g and 2 - 1/((-12)/(-190))?
6
Let r be (-8)/28 - (-1250)/(-35). Let b = r + -12. Calculate the common denominator of (-195)/b - (-4)/(-8) and 43/16.
16
Let t(i) = -11*i + 1 + 0*i - 2*i**2 + 9*i. Let q be t(1). What is the lowest common multiple of 16 and ((-24)/9)/(q/9)?
16
Let x be (-478)/(-8) + 13/52. Suppose 2*w + w - x = 0. What is the lowest common multiple of w and 18?
180
Let k(w) = 43*w**2 + 3*w + 5. Let v be k(6). Let y = 4753/3 - v. What is the common denominator of y and (2*(16 + 1))/((-14)/(-2))?
21
Suppose 3*b = 3*o + 45, b = 5*o - 2 + 5. Suppose -5*i - 352 = 2*a + a, 3*i - 4*a + 217 = 0. Let t = -61 - i. Calculate the smallest common multiple of t and b.
90
Let r be 2 - 2/(-6)*48/88. Let x = 283/44 - r. What is the common denominator of x and 51/2?
4
Let y = 2552626/11 - 231383. Let m = -679 + y. Calculate the common denominator of -71/2 and m.
22
Let m = 1214369690 - 13273060734109/10930. Let r = m - -1/4372. What is the common denominator of -91/54 and r?
540
Let a = -101623 - -710852883/6995. Let r = -2507895733792547/3103914997366950 + -2/85333342425. Let k = r - a. Calculate the common denominator of k and 35/6.
78
What is the common denominator of 2/6 - 820/264 and (-2826)/60*2/36?
660
Suppose 4*r - 6 = -2*f, 5*f = -0*f - 2*r + 47. Suppose 5*i = 21 - f. What is the least common multiple of 10 and i?
10
Suppose 3*v + 3*o = v - 121, 0 = -v + 3*o - 47. Calculate the lowest common multiple of v/(-10)*65/26 and 8.
56
Let o = -25 - -33. Let y be o/10*(-50)/(-20). Find the common denominator of 3 + (-82)/(-24) + y and -49/22.
132
Let i(q) = -q**2 + 7*q - 8. Let d be i(5). Calculate the common denominator of d + -1*(-444)/(-40) and -85/14.
70
Calculate the common denominator of -3*(-5 + 42/24) and 42/(-5)*6/24.
20
Suppose 0 = -9*m + 13*m + 140. Let b = m - -56. Suppose -b*f - 70 = -22*f. What is the least common multiple of f and 6?
210
Let n be 64/520*(-127)/2. Let f = -57/13 + n. What is the common denominator of f and 33/7?
35
Let f(z) = 6*z + 55. Let m be f(-10). Find the common denominator of -31/18 and (m/6)/((-8)/180).
36
Suppose 31*q - 2479 = 1117. What is the smallest common multiple of q and 36?
1044
Let s be (-5)/(1 - (-33)/(-18)). Let n be 1 - (-2 - -1)/(-1). Calculate the lowest common multiple of (-2)/(n - 3/s) and 9.
36
Let m = -9528617359/821664690 + -23/262094. Let w = 2/627 - m. Find the common denominator of 28/11 and w.
55
Let a(d) = 58*d**2 - d - 10. What is the lowest common multiple of a(4) and 14?
6398
Let y = 1255 + -1200. What is the least common multiple of y and 520?
5720
Suppose 2*s = -3*s + 20. Suppose 0 = -2*j + 8*j - 24. Suppose -f - j*i = -7, f - 10 = -5*i - 3. What is the least common multiple of s and f?
28
Let b(k) = -2*k + 2. Let z be (9 + -11)/((-1)/2). Let w be b(z). Find the common denominator of 54/10 + w/(-15) and 91/10.
10
Let r = -58 - -190/3. Let b(g) = -144*g + 5. Let h be b(-5). Find the common denominator of r and 0 + 1 - h/(-30).
6
What is the smallest common multiple of (-19)/((-38)/15)*10 and 275?
825
Let s = 4605 - 4587. Suppose 3*j + 0*j - 66 = 0. Calculate the least common multiple of s and 3/((-3)/j)*-1.
198
Let z = -1947/4 - -503. Find the common denominator of z and (-14)/49 + (764/63)/2.
36
Let m(p) = p**3 + 5*p**2 - 5*p + 8. Let b be m(-6). Let d be 2908/(-1680) - b/6. Let w = d - -27/20. What is the common denominator of w and 59/3?
21
Let y be (-3)/(-1)*(-4)/(-4). Let j = 9 - y. Calculate the smallest common multiple of 36*-1*12/18*-1 and j.
24
Suppose -f + 0 - 16 = -3*v, -20 = f - 4*v. Calculate the smallest common multiple of 7 and (-1 - (-5 - f)) + 2.
14
Let m(p) = -p**3 + 2*p**2 + 10*p - 6. Let q be m(4). Calculate the lowest common multiple of 3 and (-2 - (-5)/q)/(10/920).
138
Let q = 1/1027 + -557/4108. Let n = q - -1543/260. What is the common denominator of n and (-1 - 1)*(-18)/44?
55
What is the least common multiple of 8 and 62*(1 + 5/(-10))?
248
Let u = -25 - 14. Calculate the common denominator of 41/4 and 25/(-175)*1*1*u.
28
Suppose -5*m + g = -11, -3*m = -0*g + g - 5. What is the least common multiple of m and 12 - (-9 - (-6 + -3))?
12
Let r = -96 + 76. Find the common denominator of (-218)/(-15)*6/(-16) and -4 - (-152)/40 - (-194)/r.
20
Suppose -2*r + 200 = 2*r. Suppose 0 = 4*y - 58 - r. What is the least common multiple of y and 12?
108
Suppose 24*s - 22*s - 6 = 0. What is the smallest common multiple of 18 and s?
18
Let t = 2851 - 28559/10. Let n = -15383/2142 - -372/119. Calculate the common denominator of t and n.
90
Let m = -32 + 40. Suppose -6*d + m = 2*d. What is the least common multiple of d and -18*(-2 + 2 + -1)?
18
Let z = 11 - 9. Let u = 3 - z. What is the common denominator of u/2 - (-2)