mmon denominator of b and ((-407)/(-220))/((-8)/(-5)).
160
What is the lowest common multiple of ((-180)/(-8))/(3/7 + 9/28) and 483?
4830
Find the common denominator of 1515/24*(-26)/(-715) and (-2)/3 + 12025/8250.
220
Suppose 0 = -x + 60 - 0. Suppose 0 = v + x - 64. What is the least common multiple of 88/8 + (1 - 0) and v?
12
Find the common denominator of 154/355 + 4 + (-247)/65 and -25/568.
568
Calculate the common denominator of (-16 + 10978/825)/((-32)/(-6)) and 79/110.
2200
Let k(w) = w**3 + 13*w**2 - w + 19. Let o = -61 - -56. Calculate the smallest common multiple of (o*(-14)/175)/((-2)/(-120)) and k(-13).
96
Suppose 6*n + 872 = -514. Find the common denominator of -6 + (-2139)/n - (-2 + 5) and 57/88.
616
Calculate the common denominator of (8 - 227600/28608)/(8/(-6)) and -103/232.
69136
Let y be -2 + (-14)/(-7) - -5. Suppose -6*k + 36 = -4*k - y*h, -5*k - 2*h = -32. Calculate the lowest common multiple of 70 and k.
280
Let b = -16504 + 8170. Let q = 266621/32 + b. Find the common denominator of 55/24 and q.
96
Let c(o) = -o**3 + 6*o**2 + 9*o - 9. Let j be c(7). Suppose 4*y + j + 7 = -2*d, y = -4*d + 4. Calculate the common denominator of 77/18 and (11/(-704))/(d/180).
288
Suppose 2128 = 6*z - 34*z. Find the common denominator of 448/288*z/(-42) and -53/90.
270
Suppose -19*q = r - 20*q - 146, 0 = -5*q + 20. Calculate the lowest common multiple of r and 60.
300
What is the smallest common multiple of 47 and -49 - 31086/(-342) - ((-42)/38 - -1)?
1974
Suppose 4*i + 130 = 10. Find the common denominator of (-62)/i - (1 - 1) and -1/5.
15
Let l(r) = 6*r + 78. Let a be l(-13). Suppose -4*g + 3*p + 2*p + 2 = a, -5*g - 4*p = -23. What is the smallest common multiple of g and 24?
24
Let p be 3 + ((-9)/17580)/((-117)/(-1340378)). Let t = p - 1/586. Find the common denominator of t and -75/8.
120
Let p(m) = 2*m**2 - 7*m + 5. Let d be p(4). Calculate the common denominator of d/2 - (2 - 6) and (84/5)/(-7) - (-2)/10.
10
Suppose 3*u - 103 = -2*b, -u - 7*b + 16 = -10*b. Let c = u - 27. Calculate the lowest common multiple of c and 8.
8
Suppose 2469 + 963 = 12*i. Let z = i - 154. Calculate the smallest common multiple of 8 and z.
264
Find the common denominator of (-19)/8 - 99/(-132) and 42/13.
104
Let m = -2497843385/996138 - -4211366/1677. Let j = 2/11583 - m. Calculate the common denominator of j and -39/20.
180
Suppose -4*t + 4 = -4. Suppose -t*z - 12 = 16. What is the lowest common multiple of (1 + z/4)/(13/(-52)) and 7?
70
Let i(m) = m**3 + 9*m**2 + 3*m + 35. Suppose 0 = -2*n - 41 - 11. Let y = n + 40. Calculate the smallest common multiple of y and i(-9).
56
Let v(l) = -132*l + 1214. What is the least common multiple of 10 and v(-7)?
10690
Let m(j) = j**3 - 31*j**2 - 102*j + 3. Let v be m(34). Let n = -173/297 - -31/108. Find the common denominator of n and v/6*(-15)/20.
88
Let d(t) = -4*t**3 + 9*t**2 + 8*t + 15. Let p be d(-9). Find the common denominator of p/(-621)*(-3)/(-32) and 127/(-24) - -1 - 0.
24
Let c be (-6)/(-12) + (-10)/4 - -7. Let j be ((-15)/20)/((-3)/(-2))*380. What is the common denominator of 53/15 and (c/(-10))/(135/j)?
135
Let s be (54940/30)/(1/3). Let z = -32861/6 + s. Calculate the common denominator of z and 11/152.
456
Suppose 2*u - 539 - 540 = -3*x, 3*x - 1614 = -3*u. Calculate the least common multiple of u and 15.
1605
Suppose -11*b + 2*b = -144. What is the common denominator of (6/b)/((-9)/(-12))*-95 and 174/(-144)*(-20)/3?
18
Suppose 72 = 6*r + 114. What is the lowest common multiple of 12 and 4 - (-5 - r - 46)?
48
Let a = -8/17 - -947/170. Calculate the common denominator of (-8 - (-224)/35)*2/4 and a.
10
Suppose -3*z + 65 = 17. Let t = -86 - -90. Let g(y) = y**3 - 5*y**2 + 10*y - 6. Calculate the smallest common multiple of g(t) and z.
144
Find the common denominator of ((-19775)/8750)/(4/(-5)) and 6/15 + 602/120.
120
Let d(i) = 2*i**3 - 41*i**2 + 28*i + 92. Calculate the least common multiple of d(20) and 630.
1260
Let r be (19951 - 2)*(4 + -7)/3. Let g = 358931/18 + r. Calculate the common denominator of -1 - (-1)/((-33)/(-89)) and g.
198
Suppose 109*t - 134*t + 468*t - 19935 = 0. Suppose -2*z + 3*u + 15 = 0, -17 = -4*z - 3*u + 22. What is the smallest common multiple of t and z?
45
Suppose -c + 14 = -2*a - 0*a, 41 = 4*c - 5*a. Let m = c + 5. Let v(z) = z**3 - 28*z**2 + 161*z - 17. What is the lowest common multiple of m and v(20)?
9
Let p = 7180869769/38617 + -185951. Let n = -2587381/810957 + p. Find the common denominator of (82/(-90))/((-2)/6) and n.
105
Suppose 0 = -2*r - 6*c + c - 27, -4*r + 2*c - 18 = 0. What is the common denominator of (1/r*49)/(24/4) and 19/22?
396
Let d = 411 - 418. Calculate the lowest common multiple of 110 and 9782/469 + 6/d.
220
Let f be (-1*(-1)/(-6))/((-91)/14573). Let s = -163/6 + f. Calculate the common denominator of s and 14*78/288 + (-8)/2.
168
Let u be 4 - 4/(-5)*(-30)/(-12). Let z be 3/15 - (12696/(-20))/u. Let q = z - 76. Calculate the smallest common multiple of 27 and q.
270
Find the common denominator of 19/256 and (-33 - -26) + (9985/960 - 3).
768
Suppose 0 = -7*u - 2081 - 1111. Let b = u + 480. Calculate the smallest common multiple of ((55 - 1)/2)/1 and b.
216
Let q = -1273 + 27989/22. Suppose -139*w = -140*w + 2. What is the common denominator of q and (w + (-123)/15)/((-4)/5)?
44
Suppose -5*x = -2*x + 9. Let j(l) = 2*l**3 + 46*l**2 - 94*l - 2153. Calculate the smallest common multiple of 21 + 1 + 1 + x and j(-23).
180
Suppose 5*f = -2*i + 118, 4*f - 3*i = -6*i + 100. Suppose -13*d + 726 = 20*d. Calculate the least common multiple of f and d.
22
Calculate the common denominator of 163/198 and 0 + ((-1)/(-7) - 14480/(-6048)).
594
Suppose -13*n - 7 = 4*z - 8*n, 5 = -5*z - 5*n. Suppose a - z*d - 6 = 0, -15 - 30 = -5*a - 5*d. Calculate the least common multiple of a and 32.
32
Let u = 57 - 55. Suppose -3*q - u*z = 2*z - 40, 0 = -4*z - 8. Let k = 85 - 61. Calculate the least common multiple of k and q.
48
Let u = 98/19625 - -25511693/11951625. Let i = u + 13/174. What is the common denominator of i and ((-1)/4)/(4/232)?
14
Let v = -85989887/632 + 136060. Find the common denominator of -69/2528 and v.
2528
Let y(s) = 42*s**2 + 297*s + 71. What is the lowest common multiple of y(-7) and 29?
1450
Let h be (-428*2/(-20))/(1/20). Suppose 12 + 4 = 8*r. Calculate the lowest common multiple of h/36 + (-2)/(-9) and r.
24
Suppose 45*r + 322 = 91*r. Calculate the lowest common multiple of r and 887.
6209
Calculate the common denominator of 7/10 and 138536/(-13776) - (-26 - -16).
8610
Let t = 1721543495219/8300376 - 62428411/301. Let c = -2/3447 - t. Calculate the common denominator of c and (-1)/(-3) + (-1137)/90.
40
Find the common denominator of 3*1 + (-2634)/(-10)*(-263)/25248 and -107/2080.
2080
Let i be (-6)/9*6/4. Find the common denominator of (2 + 245/(-30))*2 - 3 and 444/220 - 2 - i.
165
Let w = 547707/34772 - 12/8693. Calculate the common denominator of (-2)/9*(-206)/8 and w.
36
Let u = -304403/4 - -75043. Suppose 13*k - 9*k = -4256. Let w = k - u. Calculate the common denominator of 91/74 and w.
148
Let v = -782363 - -7833277/10. Let g = v + -963. Let s = -88289/18 - -4899. What is the common denominator of g and s?
90
Let i(n) = 3*n**3 + 11*n**2 - 7*n - 7. Let g(k) = 5*k**3 + 12*k**2 - 6*k - 7. Let x(a) = 2*g(a) - 3*i(a). What is the lowest common multiple of 45 and x(8)?
45
Suppose -6*j = -j + 20. Suppose 31*z = -17*z - 1344. Calculate the smallest common multiple of 7/z + (-45)/j and 13.
143
Let p(x) = 13436*x + 80868. Let d(c) = -2*c + 2. What is the smallest common multiple of d(-8) and p(-6)?
252
Suppose -9*p - 70 = -16. Let s be p - (0 + -2) - -8. Suppose s*y + 2*d - 80 = -0*y, 0 = 4*y - 3*d - 80. What is the smallest common multiple of 118 and y?
1180
Let j = -6268 + 6243. Find the common denominator of j and 244/(-120) + 2/6.
10
Let v(w) = -242*w + 5277. What is the smallest common multiple of v(21) and 1008?
65520
Let w = -6444 + 11129. What is the smallest common multiple of 5 and w?
4685
Let n(w) = 2*w - 3. Let b be (2 - 6)*(-2)/(-4). Let u be 3 - (b + 6 - 6). Calculate the smallest common multiple of 15 and n(u).
105
Let o = 3127 + -3076. Calculate the least common multiple of o and 136.
408
What is the common denominator of (9/(-32))/(21/252) and (