- a. Find the common denominator of -40/9 and b.
99
Let q = -462781/4016 - -1847/16. Find the common denominator of 131/6 and q.
1506
Let d = 4385782673847 + -2125411684700163157/484614. Let t = 2/80769 + d. What is the common denominator of t and (212/6)/(-4*2)?
36
Calculate the common denominator of (4/(-165))/((-1290)/(-39775)) and 53/4662.
51282
Let y = 1736/17 - 55945/561. Let g be 1/(2 + (-50)/24). What is the common denominator of -1*188/g + -4*1 and y?
33
Let y be ((-2)/4)/(13/78). What is the common denominator of 83/40 and y/(-3) - (-3)/(120/17)?
40
Let n(d) = 32*d**2 - 21*d + 97. Calculate the least common multiple of n(4) and 10.
1050
Let s = -446 - -451. Suppose -s*u + l = -151, -7*l = 5*u - 4*l - 147. What is the smallest common multiple of u and 48?
240
Suppose -158*j - 93 = -155*j. Let n be ((-15)/(-6))/((-2)/4). Find the common denominator of j and ((-134)/(-20))/(6/n).
12
Let c = -189787/36 + 5268. What is the common denominator of c and -71/312?
936
Let k(i) = -2*i**3 - 2*i**2 - 4*i - 3. What is the lowest common multiple of k(-3) and (-2 - -1)*(64 + -84)?
180
Calculate the common denominator of ((-12)/(-1072)*50/6)/(76/24) and 47/3.
7638
Suppose 3*m + 680 = 80*m - 9*m. What is the smallest common multiple of m and 35?
70
Calculate the common denominator of 6660/(-486) - 105/(-7) and 812/72 + -4 - 0.
54
Let f = 866 - 788. Let m(w) = -4*w + 64. What is the least common multiple of f and m(15)?
156
Suppose 0 = 3*i, 0 = l + 3*l + 4*i - 8. Suppose -2*y = k + 2, -k = l*k - 5*y + 6. Let p = 8 + k. Calculate the lowest common multiple of 9 and p.
18
Let g be ((1/(-17))/((-1)/10))/(-1). Let x = g + -664/85. What is the common denominator of -65/64 and x?
320
Let d(n) = -103*n**2 + n + 1. Let x be 21/(-15) + 4/(-50)*-5. Let l be d(x). Let u = 1544/15 + l. What is the common denominator of u and -83/24?
120
Let v = -41539 + 3987839/96. What is the common denominator of v and 38/3?
96
Let i(v) = 37*v**2 - v. Calculate the least common multiple of i(1) and ((-54)/(-81) - (-244)/(-42))*-21.
108
Let r = 205/72 - -1/24. Let n = 581/5 - 225/2. Calculate the common denominator of n and r.
90
Calculate the least common multiple of 2344 and (-1)/((0 - 12/6)/((-14064)/(-12))).
2344
Calculate the least common multiple of ((-81)/(-54))/(-5 - (-33)/6) and 123.
123
Let j = -341899/2897400 - 8/24145. Find the common denominator of j and 169/300.
600
Find the common denominator of -33/4 and (-228)/1053 - ((-220)/(-24))/(-55).
1404
Let y = 16059/4 - 176435/44. Let j be (-2)/(-6)*(-94)/(-10). Let h = j + 158/165. Find the common denominator of h and y.
22
Let m be ((-6)/(-4))/((-3)/(-4)). What is the common denominator of ((-273)/18)/(m/3) and (39/(-18))/(1 + (-88)/48)?
20
Let p(b) = 4*b + 37. Let s be p(-4). Suppose 16*z - s*z + 10 = 0. Let g(l) = -23*l - 2. Calculate the lowest common multiple of z and g(-2).
44
Let m = 84556/15 - 5643. What is the common denominator of 114/(-13)*(-6)/(-27) and m?
195
Let n = -2728 + 2824. Calculate the least common multiple of 144 and n.
288
Let p(v) = v**2 - 33*v - 1610. Calculate the least common multiple of p(60) and 389.
3890
Suppose 2*o = -2*w + 330, -o + 177 = -0*o + 5*w. Let a = o - 118. What is the least common multiple of 80 and a?
880
Calculate the smallest common multiple of 54/10*(-3 + 12 + 9 + -8) and 54.
54
Let l = -257 + 274. Let g = l + 43. What is the least common multiple of g and 30?
60
Suppose -136512 = -37*g - 59*g. What is the least common multiple of 81 and g?
12798
Let f(t) = 2*t**3 + 10*t**2 + 12*t + 20. Let y be f(-6). Let h = y - -127. Let l(k) = -k + 3. What is the lowest common multiple of h and l(-3)?
6
Let s be 6/7 + 2/14. Suppose s = -2*g + 31. Calculate the common denominator of (-222)/180 - (-9)/g and -73/33.
330
Let q = -104 - -115. Let j(c) = 28*c - 161. Calculate the least common multiple of q and j(7).
385
Let b(i) = i**3 + 43*i**2 - 9*i - 327. What is the lowest common multiple of b(-43) and 1749?
34980
Suppose -3*m - 2*j + 9214 = 0, -9215 = -5*m + 2*m - j. Let x be (6/9)/(20/m). Let b = 1113/10 - x. Calculate the common denominator of b and -17/2.
10
Suppose -14*b - 3*b = -81124. Let x = -85/63982 + 1068195783/223937. Let v = b - x. Find the common denominator of -17/20 and v.
140
Let y = -382559 - -1160471/3. Let c = y + -562669/132. Find the common denominator of c and -63/4.
44
Calculate the common denominator of -37/36 and (-3)/756 - ((-108)/63 - -2).
252
Let l be (-2)/(-5 + 2255/450). Let a = -176 - l. Find the common denominator of a and (-2 - (-2 + -1))*-1.
1
Let o(u) = -2*u**3 - 51*u**2 - 194*u - 3. What is the least common multiple of 180/(-5)*2/(-4) and o(-21)?
306
Let o(m) = 3*m**2 + 8*m + 20. Suppose 20 = -4*h + 224. Let v = 45 - h. What is the smallest common multiple of o(v) and 18?
720
Suppose 4*k + 4*a - 420 = 0, -2*k - 29*a + 26*a + 210 = 0. Suppose 20 = 115*p - k*p. What is the lowest common multiple of p and 257?
514
Suppose -27 = 3*x - 5*x + 3*y, 0 = 4*x - 2*y - 74. Calculate the common denominator of 9/6*25/x and 1 - ((-1610)/(-36))/(-7).
126
Suppose -5*i = -5, -35 = 3*q + 2*q - 5*i. Calculate the common denominator of (-10)/35 - (-580)/168 and 826/168*4/q.
18
Suppose 40*r + 4458 = 38*r + 12510. Calculate the lowest common multiple of 9 and r.
12078
Suppose 145*r - 2 = 144*r, 8*s - 2744 = -4*r. What is the lowest common multiple of s and 570?
1710
Let b = -13031 + 13079. What is the least common multiple of b and 768?
768
Suppose 3*o - 4*y + 0*y - 22 = 0, 0 = 4*o + 5*y + 12. Suppose 3 = -o*w + 3*w. Calculate the common denominator of -79/6 and (-4)/(-16) - ((-217)/36 + w).
18
Let f be -8*(1*(3 - -1) - -7). Let c = -95663/120 + 3992/5. Find the common denominator of (-682)/f + 2/12 and c.
24
Let r = 92 - 632/7. Let n(s) = -s**3 - 9*s**2 - 8*s - 12. Let z be n(-8). What is the common denominator of r and 2 - ((-369)/30)/(z/5)?
56
Let q = 31947 + -27474. What is the lowest common multiple of q and 3195?
22365
Let x = -6449 + 25711/4. Let r = 179761/12 + -14971. What is the common denominator of r and x?
12
Let o be 1 - 4 - 2/(6/(-15)). Suppose 0 = -3*f + f - o*g + 2, -f + 6*g = -36. Calculate the lowest common multiple of f and 103.
618
Suppose 0 = -2*f + 2*p + 36, 3*p + 54 = 5*f + 7*p. Calculate the lowest common multiple of 1038 and f.
7266
Let f = 3887/376 + 84/47. Calculate the common denominator of f and ((-1698)/4)/(-101 + 221) + 5.
80
Let x(a) = a - 54 - 3*a**2 + 2*a**2 + 16 - 20*a. Calculate the least common multiple of x(-4) and 10.
110
Let y = 35645626864148819/25146784 + -4169226095/60449. Let d = -1417434246 + y. Let f = 10560/13 + d. Calculate the common denominator of 7/4 and f.
32
Let q = 14075 - 8989. Let v = 1/1559339 + 79418694599/15593390. Let d = q - v. Find the common denominator of -89/6 and d.
30
Suppose -53 - 79 = -22*s. What is the smallest common multiple of 60 and (8/(-6) + -1)/(s/(-54))?
420
Let i(v) = -v**2 - 12*v - 14. Suppose 0 = r + 4*r + 60. Let j = -6 - r. What is the least common multiple of i(-7) and j?
42
Let i = 26578 + -3348755/126. Let t = 306/41 - 8823/902. What is the common denominator of t and i?
1386
Suppose 0 = -4*l - 12, 4*l - 5*l = 3*q + 291. Calculate the smallest common multiple of -6*(120/q + (-1)/(-4)) and 69.
138
Let h be ((-612)/1071)/((-3)/((-21)/(-2))). Let m(w) = w**3 - 2*w**2 + 4*w. What is the least common multiple of 192 and m(h)?
192
Let k = 6194799849/3652 + -1696276. Find the common denominator of -59/8 and k.
7304
Suppose t + 0 = 5*v - 15, -2*v = 5*t + 21. Let s be 394/14 - 3/(-105)*t. Suppose 0 = -5*i + 7*i - s. Calculate the least common multiple of 20 and i.
140
Let g = -1344156 + 413996433/308. Let k = g + 325/22. Calculate the common denominator of (-194)/(-240) + (-39)/65 and k.
168
Suppose 0 = 2*l + 4, 3*l - 162 = 13*d - 15*d. Let q = -39 + d. Calculate the least common multiple of 50 and q.
450
Let l = 38 + -26. Let s be 3/(-18) - (-62)/l. Suppose q + 85 = 3*t + 6*q, -s*t + 149 = q. Calculate the least common multiple of t and 6.
30
Suppose -4*j + 1138 = 422. Let g = -147 + j. Let x = -48 + 80. What is the smallest common multiple of x and g?
32
Let b(i) = 12*i**2 - 2*i**3 + i**3 - 14*i + 18 - 6*i. Let s be b(7). Let q = -103 + s. What is the smallest common multiple of 8 and q?
40
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