28
Let r = -353054/1629 + 112113167/540828. Let a = r - -11/747. Let f = -2/321 - -4193/3210. Calculate the common denominator of f and a.
60
Suppose 2*s + 1 = 4*p + 163, -3*s = 3*p + 108. Let a = p + 59. What is the lowest common multiple of 20 and a?
20
Let w = -7979/1080 - 32/135. What is the common denominator of w and (-3 - 18/20)*2?
40
Let d be (-28)/1464*(-5)/28. Let l = 195439/1464 + d. Let n = l - 109. What is the common denominator of n and 9/22?
22
Find the common denominator of 58/45 and 2/(-4 + (-1472)/532).
450
Let x be (-3)/(-1) + -2 + -5. What is the common denominator of -1*(-59)/x + 1 and -75/22?
44
Let r = 103 - 211/2. What is the common denominator of r and 49/10?
10
Let b be 589102/4488 + 4 + 350/(-85). Let p = b - 1482/11. What is the common denominator of -4/9 and p?
36
Suppose 0 = -2*s + b + 8, 4*b + 1 = -7. Let c(t) = -5*t - 44. Calculate the lowest common multiple of c(-10) and s.
6
Suppose 0 = -3*a - 83 + 2333. What is the lowest common multiple of a and 22?
8250
Let q(b) = -3*b**2 - 3*b - 1. Let t be q(-8). Let x = -121 - t. What is the lowest common multiple of 8 and x?
48
Suppose -3*z - 2446375 = 2*z. Let o = z - -3443068/7. Let r = -2598 + o. What is the common denominator of r and -97/4?
28
Suppose -6*m - 1411 - 2273 = 0. Find the common denominator of m/384 + 4/36*3 and 99/8.
64
Let j = -11 - -16. Suppose f + 7 = -2*f - j*s, 3*f = 2*s + 7. Calculate the lowest common multiple of 8 and f.
8
Let f = -19615/8 - -2448. Suppose 4*x - 3*l = -0*l + 80, -5*x + 4*l + 101 = 0. Suppose 0 = -0*m + m + x. What is the common denominator of m and f?
8
Calculate the lowest common multiple of (13552/(-280))/(2/(-5)) and 385.
4235
Calculate the common denominator of (6/5)/(76/85) and (-4)/20 + -826*4/(-720) + -6.
342
Let p = -13 + 21. Suppose -6 - 4 = -2*r. Calculate the least common multiple of 24/16 - r/(-2) and p.
8
Let r(h) = h**2 + h + 1. Let c be r(-2). Suppose 6 = 5*p - 4. What is the lowest common multiple of p and 20 + 1 + 3/c?
22
Let d = -397321/96 - -12422/3. Find the common denominator of d and 15/32.
32
Calculate the lowest common multiple of 295 and 352/132*(-6)/(-4).
1180
Let h = -1947/14 + 25/7. Let l = 118 + h. Let b = -1/625 - 46871/2500. Calculate the common denominator of b and l.
4
Let c(h) = h**3 + 10*h**2 - 13*h - 10. Calculate the least common multiple of c(-10) and 27.
1080
Suppose -12 = d - 0*d. Let f = 27 - d. Calculate the common denominator of 73/4 and f/(-10) + 18/45.
4
Suppose -a = -l + 6, 0 = l + 7*a - 3*a + 14. Let t be (1 + -2 + l)*-3175. Let w = t - -50769/16. Find the common denominator of w and 81/8.
16
Let d = -233599/45 + 5190. Find the common denominator of -83/240 and d.
720
Calculate the lowest common multiple of (-4)/4*3102/12*-4 and 6.
3102
Suppose -4*m - 28 = -a + 24, -5*m = -a + 56. Let o = -42 + 78. What is the smallest common multiple of o and a?
36
Let x = -516971/33 + 15668. Let p = -23/532 - -11783/7980. Calculate the common denominator of p and x.
330
Suppose -430 + 66 = -13*b. What is the least common multiple of 42 and b?
84
Let w = 802 - 9617/12. What is the common denominator of w and ((-93)/60 + -3)*2?
60
Let h = 15 - 7. Let l(d) = -d - 2. Let x be l(-7). Suppose 43 = x*c - 27. Calculate the smallest common multiple of h and c.
56
Let y(c) = -c**3 + 45*c**2 - 122*c - 16. What is the smallest common multiple of y(42) and 40?
760
Let j(s) = -s**3 + 2*s**2 + 5*s - 2. Let r be j(3). Let h = 7 - r. Suppose 0 = 2*x - h*x + 14. What is the smallest common multiple of x and 20?
140
Let g be 1/(1/(-16)*-4). Suppose -3*z - g = -z. Calculate the common denominator of (-71)/(-8)*z/(-3) and -125/12.
12
Suppose 5*h + 10 = 30. Let q = -17840 + 17873. What is the lowest common multiple of q and h?
132
Let l(n) be the third derivative of -n**5/60 - 13*n**4/24 + 7*n**3/3 - 19*n**2. What is the lowest common multiple of 2 and l(-6)?
56
Let f be 6/(-8) - 36549/(-48636). Let r = f + 54034/4053. Calculate the common denominator of r and 5 + -4 + 2/(-8).
12
Suppose 4*g + 14 = 2. Let v(n) = n**2 + 3*n + 3. Let a be v(g). Suppose 3*p - 41 = -2*c - a, 56 = 4*p + 4*c. Find the common denominator of p and 15/7.
7
Let x = 400 - 3217/8. Let n = 134539/4614 + 6/769. Let z = n + -587/18. Calculate the common denominator of x and z.
72
Suppose s - 3*s + 422 = 3*b, -2*b + 278 = 2*s. What is the smallest common multiple of b and 22?
1584
Suppose -2*m + 12 = -d - 2, 0 = -3*d - 4*m - 32. What is the smallest common multiple of 3*(-2 + d/(-4)) and 34?
102
Suppose 3*a + 2 = -2*y - 5, 0 = 4*a + 20. Let g be (12/(-14))/(1/(-7)). Suppose y*s - g*s = -44. Calculate the lowest common multiple of 2 and s.
22
Suppose -3*o + 269 = 2*j, -j = -2*j + o + 147. What is the lowest common multiple of 6 and j?
426
Let p(y) = -3*y**2 + 66*y - 81. Calculate the smallest common multiple of p(17) and 15.
870
Let i = 15 + 2. Let x = -3401823 - -517080211/152. Let t = x + 1/152. Calculate the common denominator of i and t.
2
Suppose 46*l - 165 = 41*l. What is the lowest common multiple of l and 33?
33
Suppose 3*c - 1 = 5, -r + c = -73. Let q be 4/10 - 1380/r. What is the lowest common multiple of 7 and (4/(-8)*q)/1?
63
Let r = 38/185 - -5051/3330. Calculate the common denominator of r and (-2 - 6) + (-10277)/(-946).
198
Let w(h) = h**3 - 4*h**2 - 3*h. Let y be w(-1). Find the common denominator of (-15 - -52)*y/44 and -59/12.
132
Let q = 68622/25 + -8237/3. What is the common denominator of q and 82/165?
825
Let v(z) = -z**2 + 10*z - 11. Suppose 4*l + 9 = 5*q, 5*q + 3*l = -0*l + 2. Let c = q - -6. What is the smallest common multiple of v(c) and 8?
40
Suppose 3*v = -4*a + 19, 4*a - 2*v + 1 = -v. What is the smallest common multiple of a and 161?
161
Let u = 3209183/20550 - -7/3425. Suppose -213 = 3*p + 252. Let a = p + u. Calculate the common denominator of -64/3 and a.
6
Find the common denominator of (14/(-63))/(2/(-49)) and -2 + (-154)/(-6) - -1.
9
Let k be (-15148)/147 + (-2)/3. Let w = k + 7981/70. Find the common denominator of w and -33/16.
80
Calculate the common denominator of (-3)/(-2)*9/(89586/1036) and -67/48.
3792
Let t = -670 + 710. Calculate the lowest common multiple of 72 and t.
360
Find the common denominator of (66/(-176))/((-29)/(-10)) and -25/116.
116
Let s = 692 + -668. What is the lowest common multiple of s and 513?
4104
Let q(s) = -s**3 + 4*s**2 + 2. Let b be q(4). Suppose 38 = -b*l + l. What is the common denominator of (-1)/((-1)/l*14) and -59/8?
56
Suppose 142085 = 3*f - 137866. Let t = -368813/4 + f. Let x = t + -1107. Calculate the common denominator of x and -19/4.
4
Let n(r) = 3*r + 24. Let w be n(-10). Let q = w + -18. Let c = 34 + q. What is the least common multiple of c and 2?
10
Suppose -r + 7 + 77 = 0. What is the smallest common multiple of 406 and r?
2436
Let h = -6701/1008 + 11/144. Let k be (37 + -2)/(188/(-12)). Let m = -3989/376 - k. What is the common denominator of m and h?
56
Suppose 2*l - 59 = -c, -2*c - 3*c = l - 340. Suppose 2*q - 13 + c = 0. Calculate the least common multiple of 6 and (-1)/(-2) - q/8.
12
Let h = -9983/8 + 1245. Let u = 359703/275 - 1308. Let k = 19507/1650 + u. Find the common denominator of h and k.
24
Let v = -201 + 281. Calculate the lowest common multiple of 90 and v.
720
Let g = -710 + 854. What is the smallest common multiple of g and 40?
720
What is the common denominator of (-1)/(((-51)/2)/((-20)/24)) and -32/119?
1071
Let j = -61/144 + 5777/11088. Calculate the common denominator of j and 37/21.
462
Let u(t) = t**2 - 9*t - 6. Let h be u(10). Suppose 9 = 2*j - h*j + 5*v, 4*j + v = 37. What is the least common multiple of j and 26?
104
What is the common denominator of 54910/6612 - 1*8 and -19/145?
870
Let s(z) = -z**3 + 9*z**2 + 13*z - 10. Let v be 3/(-9)*(-21 - 0). Let i = v + 9. What is the lowest common multiple of s(10) and i?
80
Let r = -10 + 8. What is the common denominator of (-74)/10 + 1/r and (5/2)/((-99)/121)?
90
Let s = -2326/3 - -3864/5. What is the common denominator of (-1)/(-2*9/(-222)) and s?
15
Let s = -167209/24 - -6970. Find the common denominator of -57/32 and s.
96
Let o = -5215 - -62467/12. Let k = -252/21547 - -415367063/474034. Let a = 873 - k. Calculate the common denominator of a and o.
132
Let k(m) = -4*m + 8*m + m. Let z be