
Let o(m) = m**2 - 92*m + 2226. What is the smallest common multiple of o(43) and 231?
3927
Let c = 239 - 237. Let z(i) = 7*i + 2. Let v be z(5). Let u = v + -7. What is the lowest common multiple of c and u?
30
Find the common denominator of 23/154*(-588)/168 and -31/1452.
1452
Let i(l) = -3*l**3 - 2*l**2 - l + 6. Let d(b) = b**2 - 6*b + 2. Let x be d(5). Calculate the smallest common multiple of i(x) and 18.
72
Let x = 167/11 - 52/3. Suppose -5*c - 82 = 2*i, 0 = 3*i - 6*i - 2*c - 145. Let j = i + 172/3. Find the common denominator of x and j.
33
Suppose 19*p - 12 = -278. Let h = p + 47. Let a(u) = 9*u**3 - u**2 + 2*u - 1. What is the smallest common multiple of h and a(1)?
99
Let w = -122333/56168 + 5/3304. What is the common denominator of 2/4301 and w?
4301
Let d(t) = -736*t + 32. Let f be d(5). Let w = f - -21959/6. Find the common denominator of w and (-2298)/(-1287) - (-2)/13.
66
Suppose -80 = -4*i + 28. Suppose 0 = 5*q - x - i, q + 5*x - 29 = -8. Calculate the least common multiple of 6 and 9/2*(q - 2).
18
What is the common denominator of -89/4 and 2/9 - (118/18 + (-37)/(-74))?
12
Let p(b) = b**3 + 10*b**2 - 11*b + 12. Let n = -1474 + 1504. Calculate the lowest common multiple of p(-11) and n.
60
Let c be 60/(2 - -3)*99/(-6). What is the common denominator of 41/17 and 80/360 + (-874)/c?
187
Suppose -z = 8*s - 3*s + 251, -2*z - 484 = s. Let b = -196 - z. Calculate the least common multiple of b and 20.
180
Let o be (-3460)/45 + 2/(-18). Let c = o - -80. Suppose 4*u = -c*q + 132, q + 0*u - u = 44. What is the smallest common multiple of q and 24?
264
Let m be (4/(-3))/((-12)/54). Suppose 7*r = -m*r + 1521. Let a = r - 105. What is the smallest common multiple of a and 36?
36
Let r = -2529 - -2682. What is the least common multiple of 51 and r?
153
Let s(n) = -n**3 + 4*n**2 - 5*n + 8. Let i = 75 + -72. Let m be s(i). Suppose -m*c + 38 = 2*w - 14, 0 = c + 4. Calculate the least common multiple of 6 and w.
30
Let x(f) = -f**2 - 13*f - 8. Let b be 0 + 1/(-4) + 725/20. Let p = 43 - b. What is the smallest common multiple of x(-12) and p?
28
Let q = 681/494 + -43/19. Let x be (-2)/(-9) - (-96087)/(-54). Let z = x - -1775. Find the common denominator of q and z.
78
Let n = -9028 + -570. Let j = n + 431881/45. Calculate the common denominator of j and 79/12.
180
Find the common denominator of ((-402)/63)/(54/(-6) + -2 + 7) and 22/192 + 3 + -2.
672
Suppose 71 = 26*s + 19. Calculate the common denominator of (-753)/(-270) - s - (-76)/(-38) and -55/6.
90
Suppose -s = -9*h - 14, -86*h = -81*h - 30. Calculate the lowest common multiple of s and 48.
816
Let a(s) = -s**2 - 17*s - 37. Suppose -2*h - 3*j = 40, 3*j - 58 = 8*h - 3*h. What is the smallest common multiple of a(h) and 2 + 5/(2 - -3)?
15
Suppose 39 = -19*d + 58*d. Calculate the lowest common multiple of d and 33.
33
Let h = 17 - 5. Suppose -56 = n - 59. Suppose -n*d - 14 = -26. Calculate the lowest common multiple of d and h.
12
Let b = -26292158/741 + 35482. What is the common denominator of -83/234 and b?
4446
Let x = -1101761/40 + 27546. Calculate the common denominator of (-6)/32*(-3)/(486/801) and x.
480
Suppose -5*t + 98 = 5*w + 63, 4*t = -2*w + 10. What is the least common multiple of w and 96?
288
Let p(z) = -19*z**3 + 5*z**2 + 6*z + 2. Let q be p(-1). Suppose 0 = -4*m + q, 2*s - 5 - 8 = 5*m. Calculate the common denominator of s and -13/79.
79
Let k(d) = d**2 + d + 11. Let m be 4/(-12)*(22 + -1). Let f(b) = b**3 + 5*b**2 - 16*b - 10. What is the least common multiple of f(m) and k(0)?
44
Let p = 89 + -87. Suppose -13*i - p + 28 = 0. What is the smallest common multiple of 1 - i - -25 - -3 and 12?
108
Let g = -284974 + 642616384/2255. Calculate the common denominator of -91/1640 and g.
18040
Suppose 2*z = 45 + 27. What is the lowest common multiple of z and 12/(-28) + 17/(833/4872)?
396
Let m = -29002710494197/11499991976100 - -39795/19706108. Let q = 77187 - 1801776142/23343. Let n = q + m. Calculate the common denominator of n and -49/60.
300
Calculate the common denominator of 113/100 and ((-1392)/(-42) + -4 - 6) + 7/(-49).
100
Let q(i) = i - 46. Let w be q(10). Let r = -28 - w. Find the common denominator of 0 + (-106)/r - -2 - 3 and 61/12.
12
Calculate the common denominator of -55/8 and (-13)/28*(552/62 + (-1530)/170).
1736
Find the common denominator of -50*(-152)/950 + (-501)/84 and (-2)/(-3) + (-214)/(-336).
56
Let h = 18 + -12. Let s be h/(-9) - (-70)/15. What is the smallest common multiple of ((-96)/(-80))/(s/10) and 2?
6
Let j = 837412 - 123100093/147. Let d = 48/49 + j. Find the common denominator of d and -94/45.
315
Let j(v) = v**3 - 24*v**2 - 30*v - 5. Let u be j(25). What is the common denominator of (-1659)/540 - (u/18 - -7) and -15/362?
3620
Suppose -5*b - 25 + 225 = 0. Let t(s) = s**3 - 66*s**2 + 180*s + 607. Calculate the lowest common multiple of b and t(63).
40
Let c = -19490 + 155989/8. Find the common denominator of c and 145/1434.
5736
Let b = 37491 + -10497461/280. Find the common denominator of 17/336 and b.
1680
Find the common denominator of -25/62 and ((-1680)/342 + 2)*(-16)/992.
3534
Find the common denominator of 2/(-1)*13/(-10) and ((-200)/660)/((5/9)/(-1)).
55
Let s(a) = -a + 3. Suppose -n + 8*g + 95 = 4*g, 4*n - 4*g = 440. Suppose 295 = 10*w + n. What is the least common multiple of s(-5) and w?
72
Suppose 0 = 10*i - 5*i - 5. Suppose -m + 159 = -6*m + c, -i = c. Find the common denominator of 10/7 and m.
7
Suppose 5*h - 58*j + 59*j = 41, 0 = 2*j - 2. Let p(f) = -15*f + 2. Calculate the least common multiple of h and p(-1).
136
Let p = 1887465281/8145 + -231733. Find the common denominator of p and 49/81.
73305
Calculate the least common multiple of 55 and (-25)/((-80)/32 + 66/28).
1925
Let h(b) = 9*b**3 - 2*b - 6. Let a be h(-2). Calculate the least common multiple of ((-3)/((-6)/a))/(23 + -24) and 8.
296
Let l = -20753 + 62285/3. What is the common denominator of l and -35/9811?
29433
Suppose 4*i = -t + 1777, 5*i - 43*t = -47*t + 2224. Calculate the least common multiple of 222 and i.
444
Let c = 218341/210 - 7303/7. What is the common denominator of c and 46/(-350)*(-5)/(-2)?
210
Suppose -382 = -4*w + 2*b, -49*w - 262 = -52*w - 2*b. What is the smallest common multiple of 2/(2 - 0)*10 and w?
460
Let c(n) = 10*n**3 - 14*n**2 + 15*n - 34. Suppose -2*x - 2*o - 11 = -43, 0 = 2*x + 3*o - 28. Calculate the least common multiple of x and c(2).
20
Suppose 0 = -21*p - 11 + 11. Calculate the common denominator of (p + (-414)/320)/((-183)/244) and 103/60.
120
Let s = -301 - -221. Find the common denominator of -3/2 and (-6)/s*696/(-72).
40
Let z = -9087 - -108965/12. What is the common denominator of 23/17950 and z?
107700
Let z(g) = -17*g - g**3 - 13*g**2 + 11 + 3 - 3*g - g. Calculate the least common multiple of z(-11) and 50.
150
What is the common denominator of 4/3 and 2204/(-14288) - 2/(-6)?
564
Suppose 0 = -41*a + 45*a + 4*u - 4, 0 = -3*a - 4*u + 1. Calculate the least common multiple of a and 8535.
8535
Suppose 0 = -u + 4*c + 756, 0 = 4*u - 63*c + 67*c - 2924. Calculate the lowest common multiple of 1564 and u.
12512
Let c be -14*((-24462)/48)/3. Let o = -2403 + c. Calculate the common denominator of o and (((-48)/(-1))/(-2))/11.
44
Suppose a + 3*a = 20, -44 = -2*z - 2*a. Suppose 13*c = -z - 9. Let q = 92 - c. What is the lowest common multiple of 22 and q?
1034
Let m = -6418 - -6623. What is the smallest common multiple of m and 2?
410
Suppose 57*z + 60 + 54 = 0. Find the common denominator of z + 230/4 + -8 and 23/542.
542
Let b be 4/(-3)*135/(-12). Suppose 4*y - 23 = 5*c, b = -4*c + 3. Calculate the least common multiple of y and 5.
10
Suppose 5*m - 1 = z + 7*m, -m + 7 = 2*z. Suppose -4 + 3 = c, -406 = -z*s - 4*c. Calculate the least common multiple of s and 10.
410
Let j be (-3 - (-140)/75) + 4/30. Let a = 66340/11 + -6036. Calculate the common denominator of a and ((-77)/210)/(j/11).
330
Let q = -890407/44 - -20238. What is the common denominator of 59/1156 and q?
12716
Let h = 22514531/525 - 42885. Calculate the common denominator of h and 79/75.
525
Let s be -3 + (-2)/2*-3. Let g be -1 + s*1/2. What is the common denominator of -29/12 and -1 - g - 63/(-12)?
12
Suppose -3*i = -8*d + 16651 - 6602, -d + 1268 = 2*i. Calculate the lowest com