and y(-7).
156
Let c = 4 - 8. Let y = -43825 + 306802/7. What is the common denominator of y and 135/190 + (-2)/c?
133
Suppose 4*j - 472 = -4*c, -3*c + 5*c - 5*j = 250. What is the common denominator of (-1610)/c - 6/(-9) and (-6)/16*10/(-6)?
8
Find the common denominator of -53 - -58 - (-48444)/(-9800) and 22/7.
2450
What is the common denominator of 63/20 and 12074/95592 + (-4)/(-14)*99/(-198)?
34140
Suppose 0*r = b + r - 263, 0 = 3*b - r - 801. What is the smallest common multiple of 418 and b?
2926
Let u = -7147/17 - -12748837/30328. What is the common denominator of 35/4 and u?
1784
Suppose -4*s + p = -12 - 16, -2*s = 5*p + 8. Suppose o = f + s, 0*f + 20 = 5*o - 3*f. What is the common denominator of -1/22 and (-30)/(-20)*((-200)/6 + o)?
22
Calculate the common denominator of -109/18714 and 11/11 + ((-3)/8)/(23/1334).
37428
Calculate the common denominator of 121/18 and (-819735)/202390 - (-5 + 1).
9846
Let b(y) = y**3 - 4*y**2 - 2*y. Let a be b(3). Let k = -46 - -71. Let r = a + k. Calculate the least common multiple of r and 2.
10
Let b = 5260 - 5256. Calculate the smallest common multiple of b and 44.
44
Suppose 0*f = 3*f - 66. Let h be (-46)/(-4) + (-6)/4. Suppose 0 = h*y - 13*y + 12. Calculate the smallest common multiple of f and y.
44
Suppose 2*a + 4*p = 44, -38 = -5*a - 4*p + 60. Calculate the common denominator of (-84)/90*a/(-273) and 6/55.
715
Let p = 34824 + -34149. What is the least common multiple of p and 30?
1350
Let x = -18707/16 - -1168. What is the common denominator of x and (-19425)/52500 - ((-7)/20 - (-4)/(-10))?
400
Let p(m) = m**3 - 4*m**2 - 401*m + 16. What is the lowest common multiple of p(-18) and 22?
1166
Let o = -355070685 - -125030330167511/352128. Let g = o - -1/896. Let l = g + -62107/20436. What is the common denominator of 13/8 and l?
104
Let i = 34246703/818 + -83733/2. Calculate the common denominator of 32/27 and i.
11043
Suppose -7*a + 3*a + 20 = 0. Let t be -130 + a - (-1 + -3). What is the lowest common multiple of (-22)/t - (-172)/22 and 2?
8
Let d = 20679655/156 + -132562. What is the common denominator of 384/(-90) - 1*-1 and d?
780
Let u = 2116 + -2112. What is the least common multiple of 2078 and u?
4156
Let p = 10093 - 60703/6. What is the common denominator of (-105)/2 - (-2 + -1) and p?
6
Suppose 17 = -5*q - 8. Let a = -1 + -9. Find the common denominator of 145/12 and 45/a - q - (-113)/12.
12
Let z(r) = 8*r - 236. Let k be z(30). What is the common denominator of k - 98/21 - (-209)/12 and -44/85?
340
Suppose 8*z + 602 - 730 = 0. What is the lowest common multiple of 8 and z?
16
Suppose l - 5 - 14 = q, -3*l = -q - 57. Suppose -118 - 179 = -27*m. Calculate the lowest common multiple of m and l.
209
Let i be (2/3)/((-2)/(-237)). Let n = -3069 - -3156. Let w = n - i. What is the lowest common multiple of w and 8?
8
Let v be 1207/(-2) - 4/8. Calculate the common denominator of (-3)/8 - v/(-32) and 28/135.
540
Calculate the common denominator of -1/4 and (3/2)/(-3) + (-196182)/(-383184).
7096
Let l(p) = p + 13. Let a = -26 + 17. Suppose -7*y - 3*y = -310. Calculate the smallest common multiple of y and l(a).
124
Let l = 65816/365276183 - -892392054967439/202404646866862. Let j = -1/25187 + l. Find the common denominator of j and (44/408)/((-1)/21).
374
Suppose l - 40 = -32. Suppose 0 = l*m - m + 2163. Calculate the common denominator of m/(-36) - 2 - (-4 + 4) and 3/16.
48
Suppose 36*g - 4*g + 16*g - 144 = 0. What is the smallest common multiple of 1782 and g?
1782
Let p = 1147 - 5714/5. What is the common denominator of p and -3/1709?
8545
Let s = 564 + 492. Find the common denominator of 27*116/s + -2 and -97/110.
440
Let w(c) = -9*c - 107. Let x be w(-16). Suppose 0 = 2*f - 3*s - 66 - x, 2*s = -4*f + 198. Calculate the least common multiple of 25 and f.
50
Let z be 5 + 165/(-187) + 4/(-34). Suppose -5*o - w + 224 + 181 = 0, -z*o - 5*w = -324. Calculate the least common multiple of o and 21.
567
Let a = -1599841/11 - -145566. Let n = a + -55939/440. Find the common denominator of n and 57/28.
280
Let r = -2244836/15915 + 2116/15. Let k = -8737511/1978 + 305807903411/69255714. Let f = r + k. Calculate the common denominator of f and 85/24.
264
Let r = 1607885/941208 - -1/78434. What is the common denominator of r and -47*2/32 + 1?
48
Let w = -438085 + 181367083/414. What is the common denominator of w and -61/48?
3312
Let f be 32/4 - 18/3. Find the common denominator of ((-40)/16)/((-1)/f) and -61/80.
80
Let g(w) = 102*w**2 - 9*w - 9. What is the smallest common multiple of g(3) and 294?
882
Suppose -3*w - 12*j + 906 = -15*j, 4*w - 1199 = -5*j. Calculate the smallest common multiple of 3*(-9)/(-15)*(5 - 0) and w.
2709
Let d be (4/(-36)*3)/(2/(-18)). Suppose b = 9 - d. Calculate the smallest common multiple of 18 and (3 - 6/21) + b/21.
18
Let h be 6/((16/12)/2). Calculate the common denominator of (-1300)/462 + (-148)/1554 and 1*-10*h/(-48).
88
Let a be 66/8*(6 + (0 - -2)). Suppose 5*u - 8*u + a = 0. Suppose 0*h + 2*h = u. Calculate the smallest common multiple of h and 5.
55
Let q = 29 - 17. Let r = -7936 - -7938. What is the lowest common multiple of q and r?
12
Let d be (0 - (-916086)/(-4))/(-18). Let r be (5 + 0)/(3/7629). Let p = r - d. What is the common denominator of 3/14 and p?
84
Let g = 32/21517 - 1166051/104056212. Find the common denominator of g and 3/8866.
53196
Suppose 4*w - 7*c = -3*c - 184, 0 = 2*c - 4. What is the common denominator of -1/12 and 11/w - (-393)/(-324)?
108
What is the common denominator of -44/775 and 4/(-120)*-291 - 4/(10/5)?
1550
Suppose 0 = 44*q - 32*q + 33444. Let f = q + 16841/6. What is the common denominator of f and (-58)/6*7/63?
54
Let m = -1 - 23. What is the common denominator of (-178)/m*240/(-160) and -39/343?
2744
Let y(h) = 3*h + 14. Let m be y(-16). Let i = 43 + m. Suppose -i*z + 32 = -31. What is the lowest common multiple of 8 and z?
56
Let g(p) = p**2 - 74*p - 832. Suppose 3*r + 2*z - 76 = 0, 0*r = -5*r - 4*z + 128. Suppose 4*l + r = 6*l. What is the least common multiple of g(-10) and l?
24
Let n = 1/8241 - 57887/1648200. Calculate the common denominator of -47/120 and n.
600
What is the lowest common multiple of 22*(-24)/(-396)*315 and 864?
30240
Let p be 30/6 - 2/((-8)/(-650)). Let n = p - -157. Find the common denominator of n and -79/192.
192
Let m = -19074 - -20470. Calculate the least common multiple of 24 and m.
8376
Suppose -102*x + 99*x + 3*c = 0, 3*x + 6 = c. Find the common denominator of 101/54 and ((-3423)/(-14))/(46 - x/(-3)).
270
What is the common denominator of (-11)/(-3)*3/8 and 7931/824*18/(-14)?
8
Let q(u) = 7*u + 187. Let k be q(-19). Suppose -2*g + 0*g = -2*h + 118, g = 2*h - 115. Suppose h*i - 4 = k*i. What is the lowest common multiple of 12 and i?
12
Let i = 14110 + -11814. What is the smallest common multiple of 12 and i?
6888
Let m = 419/546 + 7/78. Suppose 0 = u - 5*u + 5*z - 14, 12 = -4*u + 4*z. Find the common denominator of m and (u/(-2))/(36/(-1272)).
21
Let r(n) = 2077*n + 0 - 2*n**2 + 9 - 2063*n. Calculate the least common multiple of r(7) and 2.
18
Let d = 114917/2 - 59659. Let s = -35117/16 - d. Calculate the common denominator of (1240/400)/(38/285) and s.
16
Let o = -767893/440 - -13971/8. Calculate the common denominator of 52/4375 and o.
48125
Let c(d) = -268*d + 36. Let g be c(9). Let h = -71227/30 - g. What is the common denominator of -87/16 and h?
240
Find the common denominator of 1310/(-118560)*28 + 2/8 and -83/26.
1482
Suppose -3*i + 26131 = -734. Let a = i + -143191/16. Find the common denominator of a and -3 + 7*(-69)/(-54).
144
Suppose -4*g + 0*t = 2*t + 20, t = g - 1. Let l be (12*-4 - g)*(-32)/(-6). Find the common denominator of 0 + -3 + 5/l*-668 and -1/21.
84
Let c = -211 + 187. Find the common denominator of 19/5 and (3/(-12)*-59)/(10 - c).
680
Let t = -107839 + 11215359/104. What is the common denominator of -53/12 and t?
312
Calculate the common denominator of 55/412 and (-28)/(-21) - 520/(-2112)*-20.
4532
Suppose 0 = 2*p - 54 + 16. Suppose 5*i - 11 = p. Calculate the least common multiple of 9 and i.
18
Suppose -25*h - 5*c + 5105 = -20*h, -4*h + c + 4049 = 0. Calculate the smallest common multiple of 1690 and h.
5070
What is the common denominator of 131/130 and -4 + 1 + 8 + 12546