ppose 5*w + 4*a = -444 + 1059, 0 = 7*w + 3*a - 848. What is the least common multiple of w and 189?
3213
What is the lowest common multiple of 209 and 839 + (4/10 - 102/(-90)*-3)?
836
Suppose n - 12 - 8 = 0. What is the common denominator of n/(-40)*4/3 and 7/429?
429
Let x(p) = 30*p**2 - 109*p + 337. Calculate the lowest common multiple of 175 and x(3).
1400
Let n = -43560 + 391979/9. Let u = 2 + -3. What is the common denominator of 82/(-18) - u/1 and n?
9
What is the common denominator of 37/180 and (-302)/210*(63 - 64)*21/360?
1800
Suppose -13*c = 15 - 54. Calculate the lowest common multiple of 4 and (c + -127)/(-4) + 2.
132
Let h be 3 + 1 + (270 - 2)/1. Let a be (-11)/(308/12) + h/14. Suppose -a = -j - 1. What is the smallest common multiple of 15 and j?
90
Let m(l) = -63*l + 5189. Calculate the lowest common multiple of 176 and m(78).
4400
Let h be 2*1*(1 + (-77)/14). What is the common denominator of (-1807)/(-278) - 2/h and -77/50?
450
Suppose -78*i + 99 = -1461. What is the smallest common multiple of i and 175?
700
Let c be 1632/(-18) - (-2)/3. Calculate the common denominator of 41/4 and c/815*((-42)/12 + 5).
652
Suppose -16*j + 7000 = -2*j. Find the common denominator of (j/(-48))/(((-27)/(-2))/(-9)) and -23/24.
72
Let b = 1331431 + -15964997/12. Let n = b - 1005. What is the common denominator of (-383)/60 - (-1)/(-5) and n?
12
Suppose -6*s + 17*s = -3520. Calculate the common denominator of -6 - 8/(s/54) and 97/24.
120
Let q = -356/27 + 7849/540. What is the common denominator of q and (26/91)/((-28196)/7007 + 4)?
60
Let w be 5191/168 + 3/24. Let s = 370/7 - w. Find the common denominator of -1 + (1260/(-488))/(-7) and s.
366
Let v = -2935 + 8771/3. Let r = -2689 - -3891. Calculate the common denominator of v and 12/(-78) - r/468.
18
Let g(b) = -b + 1. Calculate the least common multiple of g(-1) and 8/6*13/26*12.
8
Let b = -1585/12 - -12527/96. Suppose -9 = 3*u - 15. Calculate the common denominator of u*423/120*(-1)/3 and b.
160
Let p = -2/344069 - 10662635/602808888. Find the common denominator of -97/876 and p.
1752
Suppose -8 = -10*q + 12. Suppose 2*r - 8 = 0, -f - 3 = -4*r + q. Suppose 0*w + 176 = f*w. Calculate the least common multiple of w and 14.
112
Calculate the least common multiple of 144 and 1 + 6 - (-12)/12*209.
432
Suppose -5*s + 74 = 4*n, 0*s - 2*s = n - 17. Let w(f) = 18*f**2 + f. Let d be w(-2). Suppose -6*i + d = 4*i. What is the least common multiple of n and i?
21
Suppose g = 4*d - 60, -51*g + 12 = -48*g. What is the lowest common multiple of 44538 and d?
356304
Suppose -10*a = -11*a + 4. Suppose 0 = -3*g + 2*n + a, 3*n + 2 - 13 = -4*g. What is the lowest common multiple of g and 10/(-4)*(237/(-15) - 3)?
94
Suppose 2408 = 8*l + 5*b, -4*l = -30*b + 26*b - 1152. Calculate the smallest common multiple of l and 10.
1480
Let n be -2 - (-3 + (-2 - -39)). Let r = n - -41. Suppose 1485 = r*x - 4*c + 9*c, 0 = 5*x - 2*c - 1506. What is the smallest common multiple of 16 and x?
1200
Let c = -32 - 10. Let k = c + 52. Find the common denominator of (k/2 - 2)*(-244)/(-24) and 57/10.
10
Let q = 2280 + -13741/6. Find the common denominator of (-12)/(-18) - 50/72 and q.
36
Calculate the common denominator of (16/308 + 0)/((-99)/(-924)) and 49/3.
33
Suppose -965 = -f - a, 3*a - 40 = -25. What is the smallest common multiple of f and 160?
960
Suppose -q = -5*a + 97, 85 = 5*a - q - 4*q. Calculate the common denominator of (9/(-16))/(27/612*a) and 103/24.
240
Suppose 66*h - 4*o = 67*h - 26, -4*h + o + 36 = 0. What is the least common multiple of 1106 and h?
5530
Let k(g) = 22*g**3 + 17*g**2 - 7*g - 6. Let u be k(4). Suppose u*l - 1651*l = -20. Calculate the least common multiple of 18 and l.
36
Let v = 52311/50 + -1044. What is the common denominator of 11/760 and v?
3800
Let h = -2267/945 + 130/189. Find the common denominator of -17/111 and h.
1665
What is the least common multiple of 25 and (-8)/(8/(-2))*(38 + -36)?
100
Let c = 183/142 + 1148/1065. Let g = 26907/25 + -1074. Find the common denominator of c and g.
150
Let q be 5 - ((-1242)/(-15))/((-8)/(-20)). Let n = 232 + q. What is the smallest common multiple of n and 60?
60
Let w = 7014302/321265815 - 3/241735. What is the common denominator of w and 26/9?
3987
Calculate the common denominator of 7257/12744 - (-1)/9 and 5/(-12)*178/55.
792
Let n(h) = h**2 - 8*h + 30. Let y be n(0). What is the common denominator of (-249)/y + 4/(-1) and 125/(-18) + (-6)/(-2)?
90
Calculate the smallest common multiple of (114/1653 - (-71)/232) + (-66213)/(-72) and 12.
2760
Suppose -29*a + 245*a - 2351 = 2833. What is the least common multiple of 133 and a?
3192
Let p(f) = 4*f**2 - 12*f - 65. Let x be p(7). Suppose 2*d - 5*d + x = 4*w, 5*d = -3*w + 27. Calculate the lowest common multiple of w and 90.
630
Let x = -94 + 133. Suppose 3*u + x = 4*u. Find the common denominator of u/(-48) - 3 - -3 and -149/18.
144
Suppose 39*f - 2*n - 180 = 16*f + 18*f, 4*n = 0. What is the smallest common multiple of f and 336?
1008
Let t(o) = -4*o**2 + 51*o - 136. What is the lowest common multiple of t(4) and 108?
108
Let f = 16/10821 + 33512573/43284. Let j = f + -763. What is the common denominator of -19/11 and j?
44
Let o = -17777 + 586588/33. Calculate the common denominator of 76/1155 and o.
1155
Suppose -58*o - 270 = -60*o. Let s = o + -117. Calculate the least common multiple of 30 and s.
90
Let l(f) = 2*f**2 + 2*f - 2. Let r be l(-2). Suppose -3 = r*m - 5*m. Let i = -94751 - -94775. Calculate the lowest common multiple of m and i.
24
Suppose -193 = 3*l - 34. Let j = l + 62. Let i = 43 - 25. Calculate the lowest common multiple of i and j.
18
Suppose 100*d = 102*d - 916. Let g = -447 + d. What is the smallest common multiple of g and 44?
44
Let r(z) = -3*z**2 - 145*z - 202. Calculate the least common multiple of 440 and r(-46).
1320
Let o = -30205734 - -10509829. Let s = o - -15993072451/812. Let b = s + 5/348. Calculate the common denominator of b and 97/30.
210
Suppose -s - 1 = -10. Let x(r) be the first derivative of -3*r**4/2 + r**2 + r - 5. Calculate the smallest common multiple of s and x(-1).
45
Let u = -14540/17 - -11907223/13923. Calculate the common denominator of u and 37/2.
1638
Let m(j) = -72*j + 8. Let i be m(-4). Suppose 0 = -8*z - 0*z + i. Suppose w + 2*f - 7 = 5*f, 0 = 4*w - 3*f - z. Calculate the least common multiple of 26 and w.
130
Let o be 3 + ((-2)/9 - (-1703481)/270). Let z = 6309 - o. Find the common denominator of -47/18 and z.
90
Suppose 4*f + 8 = 0, 0 = -p - 0*f - 2*f - 66. Let n = p + 70. Let w(y) = -7*y + 48. Find the common denominator of w(n) and 32.
1
Let m = 110219/1283304 + 6/4861. What is the common denominator of -155/3168 and m?
3168
Let u = -18143541/47585 - -242830545623/637543830. Let q = 1/4774 + u. Find the common denominator of -7/33 and q.
957
Let u(n) = -2*n + 28. Let x be u(-17). Suppose -x = -z - 52. What is the smallest common multiple of 58 and z?
290
What is the common denominator of (712/624)/(-2*(-590)/(-60)) and 93/286?
16874
Let c = -773/2 - -16117/42. What is the common denominator of (-83)/36 - (-1)/2 and c?
252
Suppose u + 2*x + 4 = -6, x + 26 = -4*u. Calculate the least common multiple of ((-6)/4)/(60/(-120)) and (-2 + 0)/(4/u).
3
Let q(v) = -2433*v + 35. Let u be q(-8). Let i be ((-3)/54)/((-5)/1755093). Let r = i - u. Calculate the common denominator of 94/15 and r.
30
Let t(h) = -h**3 - 9*h**2 - 3*h + 19. Let l be t(-8). Suppose 0 = 3*k - k - 20. Calculate the smallest common multiple of 22 - ((-6)/l + (-90)/21) and k.
130
Let m = 0 - -12. Suppose 5*j - 5*t = 450, 2*j - 1274 + 1100 = 3*t. What is the smallest common multiple of m and j?
96
Suppose -5*l - 2*p + p + 1145 = 0, 2*p + 674 = 3*l. Suppose -40*b + 121 = -119. What is the lowest common multiple of b and l?
228
Let v = 152 + -153. What is the common denominator of (-6 + (-282)/(-48))/(v/(-138)) and -53/2?
4
Suppose 3*l - 4*d = -3159 + 10267, -11868 = -5*l - 4*d. Let s = l + -189749/80. Calculate the common denominator of 83/18 and s.
720
Let u(r) = r**3 - 4*r**2 + 6*r - 5. Let f be (-1)/3 - 13/(-3). Let o be u(f). Suppose -3*a - 4 = -o. Calculate the smallest common multiple of 19 and a.
95
Suppose -6*d + 45 = -d. Let z(g) be the third derivative of g**5/60 - g**4/8 - 3*g**3/