
198
Let f = 1285 - 2575/2. What is the common denominator of (-3)/6 + 724/120 and f?
30
What is the smallest common multiple of ((-270)/(-126))/(5/42) and 264?
792
What is the common denominator of 31/130 and (2546/(-76))/((-778)/(-6) + (-3)/(-9))?
260
Suppose 10*x + 63 = 533. Calculate the least common multiple of (6 - (-10 + 22))*x/(-2) and 18.
846
Let l = 12178519/552 + -1785/184. Let o = l - 21939. Let y = o - 7639/66. What is the common denominator of -151/6 and y?
66
Let u = -8968 + 9008. What is the least common multiple of 44 and u?
440
Let j(m) = 2*m**3 - m**2 + m + 2. Let q(r) = r**3 - 3*r**2 + 10*r + 4. Let a(f) = j(f) - q(f). Calculate the smallest common multiple of 5 and a(4).
290
Calculate the lowest common multiple of 29/(464/(-40))*24/(-5) and 848.
2544
Find the common denominator of 12/450*(-320)/(-168) and -157/2430.
17010
Let y = -96771/7900 + -1/1975. Find the common denominator of -65/11454 and y.
22908
Calculate the common denominator of 1/760 and 22/(-2) + 18 + (-4209)/570.
760
Suppose -9*k = -8*k + 57. Let s = -33 - k. Calculate the common denominator of 23/96 and (-373)/36 - s/108.
96
Let f = -191 + 205. Calculate the least common multiple of f and (-1147)/(-93) - (-2)/(-6).
84
Let t = -1617317193/357890 + -57/13765. Let a(i) = -4517*i**2 + i. Let f be a(1). Let q = t - f. What is the common denominator of 5/18 and q?
234
Calculate the common denominator of (-56)/3360*25/16 and -119/96.
192
Let t = 91 + -79. Calculate the least common multiple of 24 and t.
24
Let s = -2840 + 2846. Suppose 4*r + 116 = -2*z + 5*z, 0 = z + 4*r - 28. Calculate the lowest common multiple of s and z.
36
What is the common denominator of -65/888 and 2*5/(-2) + (-6312)/(-576) + -9?
888
Let i(o) = 27*o + 25. Let b(l) = -16*l - 12. Let z(r) = 5*b(r) + 3*i(r). What is the smallest common multiple of 4 and z(-5)?
20
What is the common denominator of (-4)/84*371/159 and -79/1455?
4365
Let k = -16457 - -18221. Calculate the lowest common multiple of k and 1764.
1764
Let u(h) = h**3 + 21*h**2 + 2*h + 50. Let w be u(-21). Suppose 10*p - 8*p = w. What is the least common multiple of (p/(-6))/((-8)/48) and 2?
4
Let p = -213717/16 + 13362. What is the common denominator of p and ((-7300)/(-44250) + 2/(-12))/(18/(-1422))?
4720
Suppose 7*w + 60 = 550. What is the common denominator of 55/2 and (-452)/w + 48/56?
10
Let l = 575027/51 + -11276. What is the common denominator of -75/8 and l?
408
Let q be 2386/(-258) - ((-40)/15 + 1). Let l be (22/(-4))/((-2193)/(-2073)). Let a = q - l. What is the common denominator of 127/12 and a?
204
Let y(v) = 6*v**3 - 4*v**2 + 3*v - 2. What is the lowest common multiple of y(1) and 5?
15
Calculate the common denominator of -89/272 and (4 - 4/768*1146)/(-204).
2176
Suppose -5*c = 4*o + 129 - 161, o + 3*c - 15 = 0. Calculate the smallest common multiple of o and 118.
354
Let t = 11408849/126 - 90547. Calculate the common denominator of -53/210 and t.
630
Suppose 0 = -34*v + 14666 - 11266. Calculate the smallest common multiple of v and 220.
1100
Let k be ((-2478)/(-13118))/((-6)/4) + 0. Let p = k - 109795/73086. Find the common denominator of -119/12 and p.
156
Let z be (-137051)/(-12) - 4/8. Let w = 11412 - z. Calculate the common denominator of 2/(-16) - (-364)/78 and w.
24
Suppose 0 = 40*g - 39*g + 7, 4*a + 13 = -3*g. What is the smallest common multiple of 1555 and a?
3110
What is the common denominator of -21/32 and (-165)/88*370/22089?
6368
Let l = -167933/24 - -6994. Let v be 12/54 + 87/(-27) - -1. What is the common denominator of l and 12/v - 63/(-48)?
48
Let t = 198035/46 + -4306. Calculate the common denominator of t and 121/20.
460
What is the common denominator of (23 + (-8 - 1))/(((-4352)/48)/(-17)) and 2 - -1*917/(-390)?
1560
Let r be (-106 + 3)*(-10)/(-18). Let p = r - -62. Let i = 1102/5 - 1089/5. Calculate the common denominator of i and p.
45
What is the smallest common multiple of (12 + -19 - (-78)/9) + (-8138)/(-6) and 1358?
1358
Find the common denominator of 9 + (-1945)/270 - 1 and -163/180.
540
Let x(i) = 7*i**3 + 6*i**2 - 3*i - 4. Let q be x(-4). Calculate the common denominator of -17/2 and ((-50)/q)/((-66)/88).
258
Suppose 4*s + 47 = 3*x, -s = -1 - 0. Let k = 142 + x. Let v = k + -114. Calculate the least common multiple of 3 and v.
45
Calculate the common denominator of 4469/(-6960) - (-4 - 12/6)/9 and 67/18.
20880
Find the common denominator of -9/200 and 123/1807280*146281 + (-20)/2.
11600
Let m be -4 - (2 - (-20340)/(-14)). Let c = -1455 + m. What is the common denominator of c and 137/24?
168
Let t = -30 - -70. Suppose -3*q + 2*y = -88, -47*y - 32 = -43*y. Calculate the lowest common multiple of q and t.
120
Let v be (1 - (2 + 1)) + -1. Let c = 166377 - 2329351/14. What is the common denominator of c and -2*v/(-1704)*158?
994
Suppose 0 = -3*d + 2*l + 2, 1 + 19 = 4*l. Calculate the lowest common multiple of (-2)/(-7) - (2 - 360/14) and 27*(-1 + (4 - d) + 2).
216
Let x = 71920/19 + -3788. Let h(w) = -2102*w**2 + w. Let v be h(1). Let l = v + 12683/6. Find the common denominator of x and l.
114
Suppose -2*x + 6*x - 149 = 5*a, 0 = 5*a + 5. Let l = -35 + x. Find the common denominator of 79/2 and (-7 - -73)*(-2)/(-8) + l.
2
Let g = -360540 + 269323315/747. Find the common denominator of g and 77/54.
4482
Let n be 7 + -2 + (1 - 2) + -1. Suppose n*g - 5*g = -g. Suppose -4*w + x + 7 = 6*x, g = -2*w + 3*x + 31. Calculate the smallest common multiple of 74 and w.
296
Let w(n) = 5*n**3 + 3*n**2 + 15*n - 57. Calculate the smallest common multiple of 900 and w(3).
900
Let k(v) = -2*v**2 + 37*v + 8. Let t be k(21). What is the common denominator of 91/10 and (t/110 - -1)/((-6)/6)?
110
Let j be 3567/396 + (-28)/2 + 8. Let x = 21782 - 958357/44. Let n = j + x. What is the common denominator of n and 14/11?
66
Let x = 945 + -4667/5. Let k = 45830594/9 - 5099892. Let r = k - -7596. Find the common denominator of r and x.
45
Let i = -29 - -34. Suppose -15 = 3*a - 2*g + i*g, 0 = 3*g - 15. Calculate the common denominator of -173/30 and a/2 + 2 + 26/21.
210
Let o = -258481/36 + 7178. Find the common denominator of o and 79/3078.
6156
Let m = -16992553/238 + 71397. Find the common denominator of m and 19/1666.
1666
Let p(d) = -d**3 + 15*d**2 - 26*d + 11. Suppose 2*x = -4*t + 6*x + 40, -3*x = -5*t + 56. Let m = 4 - -1. Calculate the smallest common multiple of p(t) and m.
55
Let v(a) = 36*a - 10. Let m = -584 + 589. What is the smallest common multiple of v(m) and 30?
510
Let s be 12/(-2) + (-1)/1. Let u(z) = -12*z**2 - 15 + 5*z + 13*z**2 + 10 + 2. Calculate the least common multiple of u(s) and 5.
55
Suppose -c + 22*p + 16 = 23*p, -4*p - 36 = -c. What is the smallest common multiple of c and 1468?
7340
Let o = -14879 - -15000. What is the least common multiple of o and 1089?
1089
Let a = 58222/273 - 1504/7. Calculate the common denominator of 44/17 and a.
663
Suppose -62*m + 9 = -65*m. Find the common denominator of 71/27 and ((-1)/(108/m))/((-8)/(-12)).
216
Let v = -7411 + 8126. What is the least common multiple of v and 65?
715
Suppose 3*x = 5*c + 4*x - 29, -c + 3*x = 7. Suppose c*a + 4*b + 227 - 3329 = 0, 4*b - 12 = 0. Let p = a + -1209/2. Find the common denominator of p and -41/10.
10
Let l be (32/(-6))/(23/345). Let y = -65 - l. What is the least common multiple of 219 and y?
1095
Suppose 0 = -14*z + 28, 17*k - 13*k = 3*z + 8282. What is the lowest common multiple of 280 and k?
10360
What is the common denominator of ((-3)/(-2997))/(5/285) and -41/666?
666
Let d be 50/3 - (-64)/48. Suppose -3*u - 1815 = -d*u. What is the smallest common multiple of 77 and u?
847
Suppose -16 - 4 = 5*t. Calculate the lowest common multiple of 5 and 1127/69 - (16/(-3))/t.
15
Suppose -l = 4*y - 3*y + 10, -2*l - y = 18. What is the common denominator of -71/15 and l*((-169)/3822 - (1 + -1))?
735
Suppose -15*j = -j - 2870. Let s = j + -177. What is the least common multiple of s and 20?
140
Suppose 136433 = 194*g - 1307. Calculate the lowest common multiple of g and 2556.
12780
Let a be 0 + -2 - 1400583/(-78). Let s = 17958 - a. Find the common denominator of s and -23/10.
130
Calculate the least common multiple of (-488)/(-54) - (-27)/(-729) and 1114.
10026
Suppose -8*q + 516 = 2*s - 12*q, -4*q = 5*s - 1332. What is the lo