 t(g) = -2*g + 15. Let r(k) = 2*k - 15. Let i(d) = -5*r(d) - 4*t(d). Let b be i(-7). Find the common denominator of 67/12 and 1/((-12)/b) + 1.
12
Suppose -3*k + 2*b + 5 = 0, 3*b = 2*k - 4*k + 25. Suppose -80 + 24 = -q - 4*d, 61 = q + k*d. Calculate the lowest common multiple of 72 and q.
72
Suppose 4*v - 8940 = -w, -5*v + 2*w + 2*w + 11196 = 0. Let p = 9037/4 - v. What is the common denominator of p and 109/36?
36
Suppose -30*u = -39*u + 27. Suppose -2*d = 4*c - 6*c + 68, 4*c + u*d - 129 = 0. Calculate the lowest common multiple of c and 2.
66
Let d = 1522483/50 - 30449. Let i = -3174/13 - -30193/130. Find the common denominator of d and i.
50
What is the common denominator of 35/3 and 365/981*633/2110?
654
Find the common denominator of 16/(-36) - 52395/7560 and 89/482.
1928
Let f = -5637 + 248073/44. What is the common denominator of f and 3/8*-1*154/273?
572
Suppose -7*m = -186 - 17. What is the lowest common multiple of 38 and m?
1102
Let y = 1414 - 418. What is the least common multiple of 44 and y?
10956
Let t = 415358 + -272474757/656. Calculate the common denominator of t and -9/80.
3280
Let t be 1 - (-4 + 3/3). Let f be 1 + (t/(-16) - (-5)/4). What is the smallest common multiple of 22 and (4/3)/(f/9)?
66
Let q be (-2 - -5)/(15/10). Suppose 2*s + q = -2, -2502 = -3*v + 3*s. Let f = v - 1757/2. Find the common denominator of f and -27/4.
4
Let t(q) = q**2 + 12*q + 23. Let b be t(-11). Find the common denominator of 496/b*(-1)/108 and -3/4.
324
Suppose 0 = -16*j + 298 + 646. Calculate the common denominator of (9 + (-315)/36)*j/2 and 3/((-96)/226) - -1.
16
Suppose -g = 5*f + 1810, -2*f - 5*g = -368 + 1115. Let t = f + 365. What is the smallest common multiple of 8 and t?
8
Let j = 8088657520/1895781069 - 30093/79819. Let n = j - 2/2639. Find the common denominator of -145/12 and n.
36
Let c = -129 + 201. Suppose 135 = 2*s + 5*q, 8*q - c = -s + 4*q. Calculate the least common multiple of 32 and s.
480
Suppose -73*w + 19152 = -35*w. What is the smallest common multiple of 468 and w?
6552
Let k = -3/27127 - -2794873/7161528. Find the common denominator of k and -5/48.
528
Let r be (4/32)/(2/(-26444)). Let u = r + 1677. Let p = -3612/5 + 715. Find the common denominator of u and p.
20
Let w(r) = -3*r**2 - 22*r + 269. Let h(y) = -y**2 - 7*y + 90. Let t(x) = -8*h(x) + 3*w(x). What is the smallest common multiple of t(-15) and 30?
60
Suppose 2*b + 8*b = 650. Let o = 65 - b. Suppose z + 3 - 8 = o, -3*h + 4*z = 2. Calculate the smallest common multiple of h and 18.
18
Let j(x) = -x**2 - 6*x + 6. Let i(a) = -3*a - 7. Let y be i(0). Let v be j(y). Calculate the least common multiple of (-4 - v)/(6 - 102/16) and 22.
88
Let r be (-43)/(6/150*-5). Suppose 70 = -214*i + r*i. What is the smallest common multiple of 30 and i?
210
Let w(k) = 62*k + 91. Let t be w(-2). Find the common denominator of (26/16*5)/(t/12) and (-4)/(-16) - (-167)/(-4).
22
Let d(g) = -g**3 - 9*g**2 + 9*g + 10. Suppose 98 = -3*x + 5*x + 4*n, -221 = -5*x - 4*n. Let l = -5 + x. Calculate the lowest common multiple of l and d(-10).
180
Suppose -n - n - 4*x = -10326, -5*x + 30 = 0. Calculate the lowest common multiple of 5 and n.
25755
Suppose p - 32 = -4*l, -361*p + 359*p - 3*l + 79 = 0. Calculate the least common multiple of p and 12.
132
Let p = 119/88 - 8/11. Calculate the common denominator of (-86636)/(-2864)*1/(-36) and p.
144
Let f(g) = -g - 21. Suppose 16 = -b + 1. Let t be f(b). What is the common denominator of -76/9 and (-14)/t*40/((-15)/(-3))?
9
Let g(m) = 13*m + 66. Let k be g(-4). Suppose -k*x + 144 + 584 = 0. What is the least common multiple of 8 and x?
104
Suppose 250*j = 237*j + 390. What is the lowest common multiple of 584 and j?
8760
Let g(m) be the third derivative of -m**6/40 + m**4/24 + 4*m**2 - 17. Calculate the lowest common multiple of g(-1) and 66.
66
Suppose -6*y - 3*w = -4*y - 73, -4*y = -5*w - 201. Calculate the lowest common multiple of 16 and y.
176
Let x = -141 + 83. Let c = 79 + x. Calculate the lowest common multiple of c and 90.
630
Suppose -44255 = -60*z + 158425. Calculate the smallest common multiple of 2 and z.
3378
Let s = 22492/3 - 7495. Find the common denominator of 27/389 and s.
1167
Let k(b) = 30*b**3 - b**2 + 2*b - 1. Let l be k(-2). Calculate the common denominator of 7 + (42/120)/(2/(-44)) and ((-1)/(-9))/(4/l).
60
Let p(k) = -k**3 + 24*k**2 + 23*k + 58. Let z(d) = d**3 + 3*d**2 - 2*d. Calculate the lowest common multiple of z(1) and p(25).
8
Let o = 323 - 315. Let c = -8 - -17. What is the least common multiple of c and (o + -5)/3 - (-60)/3?
63
Let j = -55/51 + -5/153. Calculate the common denominator of j and (246/12)/((-5)/(-2)).
45
Let u = 134 - 114. Suppose -6*a - u = -11*a. What is the smallest common multiple of a and 22?
44
What is the common denominator of 23031/5103 + (-30)/14 and 0 + 139/(-12) + -1?
108
Let j = -44520716/291 + 152992. Calculate the common denominator of -17/36 and j.
3492
Suppose r - 12 = -4*d + 16, -4*r + 207 = -3*d. Let b = r + -33. Let n = 58 - 37. Calculate the least common multiple of n and b.
105
Let l be (-63)/18 - -4 - (-135)/2. What is the common denominator of -25/12 and (-1)/l*(996/9)/(-2)?
204
What is the common denominator of 39/266 and (29 - 2540/88)*91/(-3)?
2926
Suppose d - 2703 = -603. Suppose 14*g - 7*g + d = 0. What is the lowest common multiple of 14 and (-1)/(3/g*2)?
350
Let i(c) = 413*c + 494. Let x be i(-19). Let n = -58130308 + 5348664711/92. Let y = x + n. Calculate the common denominator of y and 61/8.
184
Let n be (-11 - -6)*(-1272)/(-20). Let z = n - -322. What is the least common multiple of z and 9?
36
Suppose -339*i + 14 = -340*i. Calculate the least common multiple of 25 and 7/i*-9 - (-2)/4.
25
Let t = 10120 + -546481/54. Find the common denominator of 119/1476 and t.
4428
Find the common denominator of ((-5 + 3)/(30/(-17)))/(22/(-33)) and 35/402.
2010
Let m(q) = q**3 + 37*q**2 - 31*q - 136. Let o be m(-38). Let p = o - -434. What is the least common multiple of 104 and p?
416
Let t(m) = 12*m**2 - 8*m + 56. Let x be t(17). Let z = -33771/10 + x. Find the common denominator of ((-2)/10)/((-12)/366) and z.
10
Suppose 3*h + 327 = 6*h. Suppose -8 = -2*x + g, 20 = x + 4*g + 43. Calculate the lowest common multiple of x and h.
109
Let t = -11938 - -13978. What is the lowest common multiple of t and 135?
18360
Let f be 1*1*223 - (-17 - -15). Let o = f - 215. What is the smallest common multiple of o and 6?
30
Let c = -54 - -157. Suppose l = 141 - c. Calculate the lowest common multiple of l and 2.
38
Let s = -55984 - -14779861/264. What is the common denominator of s and -109/280?
9240
Let i(d) = -56*d + 1676. What is the smallest common multiple of 8 and i(22)?
888
Let q = -1256921455/45682 + 2503668/91. Let t = -8/251 + q. What is the common denominator of t and 109/126?
126
Let n(w) = 7*w + 1012. Calculate the least common multiple of 1843 and n(-144).
7372
Suppose -10*s + 23*s - 52 = 0. Let j = -29811 + 1073125/36. What is the common denominator of j and 1018/440 + s/(-20)?
396
Suppose z - 4*m - 8948 = -25445, 5*m = -5*z - 82585. Let j be ((-2611)/z)/((-120)/8666). Let f = j - -7/3370. What is the common denominator of -127/18 and f?
36
Let b be (-1)/(-1)*(-23 + 27). Suppose -b*v + 24 = -3*u, v + 0*u - 6 = 2*u. What is the common denominator of -14/9 and (-63)/(-30) - 4/v?
90
What is the common denominator of 3/(-27)*114/(-20) and (-8 - 3220/(-120))*6/10 - 8?
30
Let w be -13*((-11)/4 - 1/4). Suppose -2*t = p - 2*p + w, 3*t = p - 34. Let g = -27 + p. What is the lowest common multiple of g and 6?
66
Let s be 155 + ((-4)/6 - (-10)/15). What is the common denominator of (6/9)/((-60)/s) and -97/4?
36
Calculate the lowest common multiple of 7/2*(-480)/(-168) and 33.
330
Suppose 5*l = 2*g + 331, -3*g - 505 = -0*g + l. Find the common denominator of 26/49 and 226/g - (-16)/(-192).
49
Let t = -9182684725/4806 + 1910671. Calculate the common denominator of 26/7 and t.
33642
Let a = -2768291/4371 - -1900/3. Let d = a + -123863/8742. Let o = -8521/1404 + -5/351. What is the common denominator of o and d?
12
Let t = 11284 - 6673. What is the smallest common multiple of t and 159?
4611
Let m be (5353/(-3))/((-8)/(-3)). Suppose 1911 = -7*a - 2095 - 698. Let p = m - a. Calculate the commo