 f = 1/1340 + -17/335. What is the common denominator of f and x?
220
Let x = 8332874 + -253752678973/30452. Find the common denominator of x and 37/12.
91356
Suppose -26*x + 15*x = -3322. Suppose -4*b + x = -2*r + 12, 0 = r + 5. Calculate the lowest common multiple of 56 and b.
280
Let q = 134 + -99. Suppose -5*p + q + 40 = 0. Calculate the smallest common multiple of p and 21.
105
Let j = -19148/3 - -229909/36. Let d = -59320/99 - -1798/3. What is the common denominator of j and d?
396
Calculate the common denominator of (-7102)/696 + (17 - (-42)/(-6)) and -32/39.
4524
Let f be (2 - 1) + 5/20*4. What is the common denominator of (f + (-47)/(-4))*350/(-1500) and -95/32?
96
Let d(j) = -105*j**2 + 3156*j - 12. What is the smallest common multiple of 54 and d(30)?
1512
Let b = 15539 - 15055. Calculate the least common multiple of 18 and b.
4356
Let z(w) = -w**2 - 21*w - 35. Let d be z(-20). What is the common denominator of ((-107)/d)/(50/125) and -28/39?
78
Suppose 0 = 1593*m - 1589*m - r - 7966, 3*m - 5966 = 5*r. Calculate the least common multiple of m and 32.
7968
Let m = 19 - 9. Suppose -9*a + 21*a - 10 = 14. Calculate the lowest common multiple of a and m.
10
What is the common denominator of ((-3)/(-27))/(184/(-1236)) and -17/2001?
4002
Let s(y) = -y**3 - 10*y**2 - 3*y + 9. Let m be (-5)/(-20) + (-54925)/(-396). Let g = m - 1449/11. What is the common denominator of g and s(-10)?
9
Let y = -1941/16 + 43851/368. Calculate the common denominator of y and 149/552.
552
Let g(d) = d**3 + 4*d**2 - 15*d - 16. Let w be g(-6). Find the common denominator of -89/44 and 2*(-94)/144*(-2 - w).
396
Let o(a) = -2*a + 2. Let p be o(-2). Suppose -2*h - 208 = -p*h + 2*i, -47 = -h - 2*i. Let k = -46 + 64. Calculate the lowest common multiple of h and k.
306
Calculate the smallest common multiple of (-7)/(-14)*((-620)/(-5) - -3 - -5) and 714.
7854
Suppose -5*z - 5*k + 2852 = -9*k, -1146 = -2*z - k. Let p = z + -568. What is the lowest common multiple of p and 14?
28
Let f(k) = -713*k - 613. Calculate the smallest common multiple of 10 and f(-1).
100
Suppose -3*n = 2*d - 14060, -27*n + 31*n - 2*d - 18784 = 0. Calculate the lowest common multiple of n and 30.
23460
Let k = 619261/7507775 - -13/13057. Calculate the common denominator of 31/805 and k.
4025
Suppose 9*b - 196 = 5*b. Let g = b + -46. Find the common denominator of g/(-12)*(-146)/5 and 48/17.
170
Suppose 2*t + 10 = -2*u, -4*u - 10 - 6 = 2*t. Find the common denominator of 19 - (16596/1080 + -2) and 21/10 + (-1)/u.
30
Let q(s) = s - 30. Let h be q(18). Calculate the smallest common multiple of 66 and 126/(h - -18)*(-10)/(-7).
330
What is the lowest common multiple of 140 and 84/6 + (4/(-4) - 6)?
140
Suppose -124*a = -11989 - 15787. Calculate the lowest common multiple of a and 616.
2464
Let f(r) = -3735*r**2 + r + 1. Let u be f(-1). Let h = -29843/8 - u. Calculate the common denominator of 43/2 and h.
8
Suppose 36*u = 44*u - 206 + 78. Let r = 76 - 62. Calculate the least common multiple of r and u.
112
Let y(i) = -i**3 - 20*i**2 - 2*i - 22. Let g be y(-20). Let x = 4 - -4. What is the lowest common multiple of x and (-20)/(-6)*g/(-75)*-10?
8
Find the common denominator of 97/18 and 2/16*-3*(-1930)/61425*-13.
1260
Suppose -d - 4 + 7 = -3*v, 3*d = 3*v + 39. Calculate the smallest common multiple of 1 - (-10 + 2 + -1) and (8 + (-96)/d)/((-4)/(-90)).
60
Let y be 3*1*(-2)/(-6). Calculate the common denominator of 520/384 - (3/9)/y and 149/6.
48
Suppose 2*g - 1 = 4*k + 3, 2*k = -2. Suppose 5*u - o + 2*o - 19 = 0, 4*u - 4*o + 4 = g. Suppose u*d - 2*d = 5. What is the least common multiple of d and 71?
355
Let r = 6/461 + -2043/50710. Let d = -8281/4 - -91251/44. What is the common denominator of r and d?
110
Let r(y) = 3*y**2 - 20*y - 36. Let u be r(8). Calculate the common denominator of (-6)/(-40) + ((-64)/20 - u) and 28/15.
60
Let r be (1460/(-18))/((-49)/3). Let n = 13/98 - r. Let t = 22294/17 + -1310. Calculate the common denominator of n and t.
102
Suppose 3*r + 45 = 3*b + 306, -4*r = 12. Let o = 110 + b. Calculate the smallest common multiple of 3 and (-6)/15*o/(-2)*4.
48
Suppose -262 = -3*b - 2*o, -23*o + 86 = b - 22*o. What is the lowest common multiple of 60 and b?
180
Let j = -172420 + 106900377/620. Find the common denominator of j and -63/248.
1240
Let i = -67 - -71. Suppose 200 = -4*q - 4*v, i*v - 4 - 12 = 0. Calculate the lowest common multiple of 10 and 39/91 + 6*q/(-28).
60
Suppose g + 25 - 29 = 0. Let b be -1 + 5 + -1 - (-1 + g). Calculate the lowest common multiple of 1*(-3)/9*b - -18 and 18.
18
Let z(n) = 4*n**3 - n**2 + 17*n - 16. Let f be z(8). Let v be (f/14)/2 + -5. Let q = v + -23281/336. Find the common denominator of 19/8 and q.
48
Let h(b) = b**2 - 32. Suppose 2*j = 4*g + 5*j - 21, 0 = 5*g + 4*j - 26. What is the smallest common multiple of h(g) and 246?
492
Let g be (3 - 3)/(-2*(-15)/10). Suppose l + 5*l - 30 = g. Let y = 35 + -25. Calculate the smallest common multiple of y and l.
10
Let q = -98051/36168 - -4/1507. Let r be (2 - 88/42)/(5/8280). Let j = 19543/126 + r. Find the common denominator of j and q.
72
Suppose -4*i - 24*u = -20*u - 5364, -3*i = u - 4013. Calculate the least common multiple of 2 and i.
1336
Let p(w) be the third derivative of w**4/8 - 3*w**3/2 - 14*w**2. Let u = 274 + -270. What is the lowest common multiple of p(9) and u?
36
Find the common denominator of (2222/168)/(-11) + 7 + -6 + 1 and (-297)/(-2)*(-2)/(-120).
840
Suppose 19*g = g + 270. Calculate the lowest common multiple of g and (270/(-36))/(1/(-2)).
15
Find the common denominator of (-1)/12*(813/(-135) - -10) and -71/198.
5940
Let c = -5369 - -5457. Suppose -5*t + o = -445, 2*t - 2*o + 78 = 3*t. Calculate the lowest common multiple of c and t.
88
Let l = -57985/8 + 7236. Let a(v) = 15*v - 43. Let f be a(3). Calculate the common denominator of (-3)/10*(-3791)/(-255) + f and l.
200
Let z be (69/(-7))/(-3) - (-4)/(-14). Suppose 0 = -2*j + 3*i + 14, -j - 19 = 2*i + z*i. Find the common denominator of (j/(-3 - -1))/(22/138) and -15/2.
22
Suppose 18 - 18 = z. Suppose z = 19*r - 20*r. Suppose 0 = -3*v - 15, r = -3*u - v + 2*v + 53. What is the least common multiple of u and 2?
16
Suppose -1320 = 5*g - h, 3*g - g = h - 531. Let y = -237 - g. Calculate the lowest common multiple of 13 and y.
26
Calculate the smallest common multiple of ((-28 - -17) + 651)/(1/2) and 512.
2560
Let b be 782/1800 - (-72)/(-162). Let v be (-155)/250*97/14. Let s = b - v. What is the common denominator of s and -51/4?
28
Let d = 11/5105 + -50813/14105115. Let x = -339889/27630 - d. Calculate the common denominator of -19/14 and x.
70
Calculate the common denominator of (-12)/(-220)*900/(-72) and (31/12)/((-16)/18).
352
Let p be (48/(-128))/((-132)/2467507). Let t = p + -7010. Let h = t + -13259/3168. What is the common denominator of 29/31 and h?
279
What is the common denominator of -13/22 and 212 - 199 - 466940/35896?
98714
What is the common denominator of 5/18 and 4/1 + (-25)/5720*980?
2574
Suppose 2*o - 5 = -1. Let d be (-6)/126*-1191 - o/(-7). Find the common denominator of d/(-84) - 15/10 and 93/20.
140
Let p(w) = -w**3 + 22*w**2 + 25*w - 48. Let b be p(23). Let y = -1441/78 - -142/39. Calculate the common denominator of y and ((58/(-5))/((-22)/(-10)))/b.
66
Let z be (20/2)/(4/(-506)). Let l = -3829/3 - z. Calculate the common denominator of l and (392/5390)/(6/(-561)).
15
Suppose 3*f + 245 = -2*w, -2*w - 83 = -3*f + 4*f. What is the lowest common multiple of ((-112)/6)/(18/f) and 12?
84
Suppose 9*p - 35*p - 286 = 0. Calculate the lowest common multiple of 102 and 231/(-21)*6/p.
102
Let m(r) = 2*r**2 + 11*r - 2. Let v be m(-4). Let o(b) = -12*b - 164. Calculate the smallest common multiple of o(v) and 12.
12
Let o = 405573/424 - 7657/8. Calculate the common denominator of o and -30/19.
1007
Suppose 0*y + 3*y - 87 = 0. Suppose 0 = -2*f + 5*s + 80, 0*f - f - 3*s + y = 0. What is the lowest common multiple of f and (-15)/75 - (-112)/10?
385
Let j be 1/2 - (-69291)/18. Let m = j - 107775/28. Let f = 1259 - 7631/6. Calculate the common denominator of f and m.
84
Let h(k) = 8*k**2 - 98*k + 98. Calculate the least common multiple of 83 and h(1).
664
Let a(f) = 73*f - 1501. What is the lowest common multiple of 36 and a(25