ppose 0 = -k - 4*k + 5*r + 165, -k + 4*r = -42. Calculate the smallest common multiple of 21 and k*(-1)/(-4)*2.
105
Let n = -16 - 10. What is the common denominator of -3 + 6 + n/8 and -14?
4
Suppose -6 = -u, c + 4*c = u + 29. Suppose 0 = -0*a + 2*a - 6. Suppose a*y + 0*y - 3 = 0. What is the lowest common multiple of y and c?
7
Let a be (9/3 - 0) + 2. Suppose -171 = -a*n - 3*q, 2*n = -q + 4*q + 60. What is the lowest common multiple of n and 9?
99
Let y = -493/11 - -16271/352. What is the common denominator of y and 93/56?
224
Let o = 22993/10 + -2296. What is the common denominator of o and (-149)/8 - ((-2)/(-16) + 0)?
20
Find the common denominator of -87/200 and 147*(10 - 8)/(-24).
200
Let r be (3/48)/((-1914)/22017123040866). Let n = r - -718949947. Let o = 78/319 + n. Find the common denominator of o and 45/14.
112
Let d = -243322733/30 + 8111571. Let z = 32/5637 + 4533995/5637. Let f = z - d. Find the common denominator of -79/20 and f.
20
Suppose -80 = -5*c + 3*c + 4*j, -3*j + 75 = 3*c. What is the lowest common multiple of c and 36?
180
Let y = -30 + 46. Let n = -135 + 143. What is the least common multiple of n and y?
16
Find the common denominator of (17 - 19) + ((-19)/3 - 1) and 127/12.
12
Let d(f) = -f + 6. Let l be d(10). Let y = 53 - 46. Calculate the common denominator of (-1)/y - (l + 1) and 89/8.
56
Suppose -6*q - 16 = -58. Suppose -10 = -q*h + 2*h. What is the lowest common multiple of h and 5?
10
Let h(m) = -2*m**3 + 10*m**2 + 7*m - 33. Calculate the lowest common multiple of 32 and h(5).
32
Suppose 3*l - 4 = -a, 6*l - 2*l = -3*a + 2. Suppose -5*c = 5*i - 580, -3*i + 2*i - 574 = -5*c. Calculate the common denominator of 4/9 and (a + c/3)/(-2).
18
What is the lowest common multiple of 38 and (-104)/156 + 40/6?
114
Suppose 0 = -3*q + 512 - 479. What is the smallest common multiple of 1 and q?
11
Let a(q) = q**2 - 11*q + 10. Let i be a(7). Let w = 1772/7 - 19128/77. Calculate the common denominator of w and -2 - 429/i - 0.
66
What is the common denominator of 2/10*((-4545)/8)/(-9) and 11/6?
24
Suppose 5*g = -19*q + 21*q + 214, 0 = 2*g + q - 82. What is the smallest common multiple of 30 and g?
210
Let h(j) = j**3 - 3*j**2 + 3*j - 4. Let g = 34 - 32. Calculate the smallest common multiple of h(3) and g.
10
Calculate the common denominator of -73/4 and (-86)/5250*(-21)/(-7).
3500
Suppose -5*s + 40 = -3*a - 45, -s + 40 = 4*a. Suppose -51 - 2 + 173 = 5*z. Calculate the smallest common multiple of z and s.
120
Let b be ((-1845)/1008)/(-1 + -2). Let v = b + -43/21. What is the common denominator of 25/4 and v?
16
Find the common denominator of 9/1510 and (835/(-385) - -2)/(2/(-7)).
16610
Let h be ((-1)/(-3))/((-1)/(-39)). Suppose 39 = r - h. Suppose 4*c = 5*n - 175 + 65, 4*n + 4*c = r. Calculate the smallest common multiple of 10 and n.
90
Suppose 2*q - 69 = -5*u, 0 = 4*q - 2 + 14. Suppose -u = -6*a + a. What is the lowest common multiple of a and 30?
30
Let s(y) = y + 6. Let q be s(-3). Suppose z + 0*z + 5*a = -5, -4*a = -q*z - 34. Let f = 16 + z. Calculate the lowest common multiple of f and 7.
42
Let g be -14*15/12*-6. Let j = g - 65. Let q = 62 - j. What is the smallest common multiple of 24 and q?
264
Suppose 125 = 54*f - 49*f. Calculate the least common multiple of f and 45.
225
Suppose -5*m - 5 = -50. Calculate the smallest common multiple of 5 and m.
45
Let k = -21 - 6. What is the common denominator of k and 122/10 - (-8)/40?
5
Let b = 8117/1120 + 3/1120. Let g(u) = 209*u + 2. Let m be g(-1). Let z = -1231/6 - m. What is the common denominator of b and z?
12
Suppose x = 4*x - 144. What is the common denominator of ((-12)/50)/(2/(-90)) and (-88)/x*(-16)/6?
45
Let j = 62 + -75. Let w = 35 + j. Calculate the least common multiple of w and 12.
132
Let s = -4674 + 42020/9. Let n = -25/117 - 898/117. Calculate the common denominator of n and s.
9
Suppose 0 = -4*b - 2*v - 8 + 76, 98 = 5*b - 4*v. What is the lowest common multiple of b and 69?
414
Suppose 17*v + 155 = -15. Let f = 4131 + -37114/9. What is the common denominator of v and f?
9
Let k(n) = 9*n + 8. Let o be k(6). Let l = -46 + o. What is the least common multiple of l and 7?
112
Suppose q + 34 = 3*g - q, 5*g - 3*q = 56. What is the least common multiple of 2/(-3) + 287/21 + 5 and g?
90
Let u(q) = 3*q**2 - q. Let y(x) = 39*x**2 + x - 4. Let w be y(-2). Let z = w + -146. What is the smallest common multiple of u(-1) and z?
4
Let a be (32 - 8) + 2/2. Let p be ((-10)/a)/((-2)/40). Suppose -22 = -i + 3*m, -4*i - 3*m = -20 - p. What is the smallest common multiple of 5 and i?
10
Let o(k) = 6 - 10 - k**3 + 6. Let q be o(-2). Suppose -q = 8*z - 9*z. What is the lowest common multiple of 10 and z?
10
Let b = 71/5661198 - 1610018764717/53781381. Let s = b - -29936. What is the common denominator of s and 35/18?
342
Let d(i) = -2*i**3 + 6*i**2 - 12*i + 5. Let t be d(9). Let l = t - -11851/11. Calculate the common denominator of l and 44/7.
77
Suppose 3 = 2*s - 5. Calculate the smallest common multiple of (384/18 - 6) + 2/3 and s.
16
Let j = -1469/42 - -52/21. Calculate the common denominator of j and (-24158)/(-2820) - (-2)/(-3).
10
Let n be (-1)/6 - (-4378)/132. Let b = -23 + n. What is the common denominator of (b/52)/(-5)*63 and 53/3?
78
Let v = 1999 - 3923/2. Let s = 280/11 + -3187/66. Calculate the common denominator of v and s.
6
Suppose 0 = 8*c + 18 - 26. Calculate the smallest common multiple of c and 2.
2
Let k = -1993 - -43833/22. Let y = -12/13 - -227/260. Find the common denominator of y and k.
220
Let u = -11107/7 - -1595. Find the common denominator of 1 + (738/28)/9 and u.
14
Let j(c) = -11*c - 9. Let z be j(-4). Let n = 23 + z. What is the common denominator of n/(-8) - (-2)/3 and -69/2?
12
Calculate the common denominator of -77/39 and (-14)/2 - (5 - 25529/2184).
312
Let a be (-34)/10 + (56/(-35))/(-4). Find the common denominator of (57/(-18) - a)/((-20)/1185) and -71/120.
120
Let y(o) = 2*o**2 + 7*o**2 + o**3 - 2 - 3 - 3 - 11*o. Let n be y(-10). Suppose 6*w = n*w + 20. What is the lowest common multiple of 10 and w?
10
Let n = 1143101 + -22841021/20. Suppose -7*v = -22*v - 15720. Let q = v + n. Find the common denominator of q and 31/6.
60
Let g = -1469 - -1598. Calculate the smallest common multiple of 10 and g.
1290
Let v = -553 + 865. What is the smallest common multiple of 36 and v?
936
Let s(u) = u**3 + 8*u**2 + 4*u - 5. Let k be s(-7). Suppose 0 = -2*z + 12 + k. Calculate the least common multiple of 86 and z.
602
Suppose -869 = -5*u - 2*z + 941, 3*z = -3*u + 1095. What is the lowest common multiple of u and 96?
1440
Let h = -328/3 + 1231/12. Calculate the common denominator of -35/9 and h.
36
Suppose -2*v + 188 = 2*z, -4*z - 2*v + 101 = -277. Calculate the lowest common multiple of z and 57.
285
What is the least common multiple of 54 and 26 + 56/(-21) + (-4)/(-6)?
216
Suppose -3*a = -2*w - 150, 3*a - 7*w + 3*w - 144 = 0. What is the least common multiple of 16 and a?
208
Let h be ((-2)/49)/((-11)/((-66)/(-68))). Let i = h + -60821/3332. Find the common denominator of i and 113/24.
24
Let n(c) = c**3 + 16*c**2 + 13*c - 19. Suppose 3*l + 0 = -45. What is the lowest common multiple of 11 and n(l)?
11
Suppose -11 = -0*y - y. Suppose -3*x + 5 - 4 = -r, 3 = -r + x. What is the smallest common multiple of y and (-2 - (-270)/25)/(r/(-10))?
22
Let b = -123437/29865 + -1/5973. Calculate the common denominator of b and -2/35.
105
Let f = 1626 - 1219. What is the lowest common multiple of f and 74?
814
Let h be 3*-1 - (-9 - -2). Suppose h*p - 30 = 270. Find the common denominator of 38/9 and (-30)/(-4)*33/p.
90
Suppose -3*g - 2829 - 1614 = 0. Let c = -28148/19 - g. Calculate the common denominator of c and 31/5.
95
Find the common denominator of 4/21 and 1*16/(-6)*(-99)/(-108).
63
What is the smallest common multiple of 108 and 507/21 - (-13)/(-78 - 13)?
216
Suppose 0 = 4*o - d - 12, -3*o - 6*d + 24 = -3*d. Suppose -3*w - c + 14 = -2*c, 2*c = 2*w - o. What is the smallest common multiple of w and 29?
174
Find the common denominator of (10/(-4))/((-660)/636) and 11/1440.
15840
Let a = 1097/24 + -311/8. What is the common denominator of a and -143/108?
108
Let v = 289 - 586. Let a be (-4660)/16 + (-1 - -1). Let r = v - a. Find the common denominator of -47/3 and