0
Let z(g) = -18*g + 58. Let k be z(3). Suppose k*j = j + 2*q + 36, -q = -2*j + 24. What is the least common multiple of 28 and j?
84
Let b(u) = u**3 - 15*u**2 + 16*u - 34. Let k be b(14). Calculate the common denominator of 2/3 + k/((-288)/(-1196)) and 6/21 + (-1557)/84.
4
Let a be 186 - -1*(-2 - -9). Let n = -189 + a. Calculate the smallest common multiple of 192 and n.
192
Let w = -47837/1830 + 1316/61. Calculate the common denominator of w and 31/(-20) - ((-54)/10 + 5).
60
Suppose -3*c = -5*u - 43, -2*c - u + 34 = u. Suppose -4*k = -3*o + 135, 5*k + 106 - c = 2*o. Calculate the least common multiple of 21 and o.
315
What is the least common multiple of 738 and (-135)/(-3)*8/40?
738
Let j = 213 - 219. Let u = j + 46. What is the lowest common multiple of u and 10?
40
Suppose -1 = -4*z + 2*a + 13, -z = -3*a - 1. Suppose -4*x + 46 = 3*b, z*b - 2*x - 54 = -0*x. Find the common denominator of -38/9 and 1707/(-330) + b/35.
198
Let w(o) = 2*o**2 + 3*o - 16. Let c(v) = -v**2 - 13*v - 7. Let z be c(-12). Let i be w(z). Calculate the common denominator of (-14)/i + 506/(-630) and -71/3.
45
Calculate the smallest common multiple of 21 and (22918/49 - 12/(-42))*13/4.
10647
Find the common denominator of -85/774 and 500/(-24)*((-640)/(-72) - 9).
2322
Let w = -9771 + 9936. What is the lowest common multiple of 605 and w?
1815
Let t = 164 - 104. Calculate the lowest common multiple of (4/3)/(-1)*(t - 114) and 8.
72
Suppose 6*t - 1505 - 1440 = -185. What is the least common multiple of t and 90?
4140
Let g be (-3 - 1 - 0) + -1064. Let f = g - -1852. Calculate the smallest common multiple of 8 and f.
784
Let n = 11 + -9. Let h be 16/(-12)*(-3)/n. Suppose a = 2*z - 1 + 2, -h*z + 5 = a. What is the lowest common multiple of 7 and z?
7
Let p be (-8 + 10)*839/2. Let m = -479 + p. Find the common denominator of 5/6 and 6/(m/235)*(-3)/(-8).
96
Suppose i + 12630 + 34980 = 31*i. What is the smallest common multiple of 18 and i?
9522
What is the common denominator of -97/16 and 1/3 - 5088/81792?
1136
Let k = 50015 + -500211/10. Let z be 18/(-336)*(-1359278)/3. Let t = z + -24277. Calculate the common denominator of t and k.
140
Suppose 2*p + 255 = -s, 3*p + 400 = -0*p + 2*s. Find the common denominator of -87*1/36*6/(-4) and 12/(-16)*p/(-48).
32
Let j be (-3 - -3) + (55 - -2). Let n = 135 - j. Calculate the least common multiple of n and 22.
858
Let f = -905465 + 640359. Let j = f + 55672063/210. Find the common denominator of 117/10 and j.
210
Let g = 3601202/131355 - 3803/139. Find the common denominator of 131/216 and g.
7560
Let x = 2/4599529 - 183213038693/82791522. Let c = -2217 - x. Let v = 1/3642 - -40963/34599. Find the common denominator of v and c.
342
Let j = 156231/5 + -1237643/40. Let p = j + -1171/4. What is the common denominator of p and -113/108?
216
Find the common denominator of -79/222 and (-12)/22 + 57190/280016.
888
Suppose -31 - 11 = 3*p. Let b = -30 + 35. What is the lowest common multiple of b and 267/39 + p/(-91)?
35
Let o = -31 + 55. Let d = 125 + -98. Calculate the lowest common multiple of o and d.
216
Let y = -164 - -168. Find the common denominator of 8/3 and (-21861)/5049 + y + (-2)/(-17).
33
Let v(x) = -x**2 - 25*x + 54. Let a be v(-19). Suppose 0 = -2*d + 5*y + 155, 2*y - 22 = 2*d - a. Calculate the smallest common multiple of d and 6.
210
Let i = 4 - -20. Let q = 61 - i. Suppose q - 52 = -l. What is the least common multiple of 1 and l?
15
Let n = 87373/544 + -2766/17. Calculate the common denominator of n and ((-2)/(-20))/((-98)/485).
1568
Let f be ((-12)/10)/(1/(-35)). Suppose 22*x = 36*x - f. What is the least common multiple of x and 9?
9
Suppose 2*u = 3*m - 3456, -m + 3*u - 2*u = -1152. Calculate the common denominator of 23/48 and 4/3 + 3000/m.
48
Let q = -21896 - -12660. Let y = -240075/26 - q. Find the common denominator of 33/4 and y.
52
Calculate the common denominator of -19/780 and (50/(-975))/((-48)/9404) - 10.
2340
What is the common denominator of (-182)/(17 + -43) + (-630)/64 and -17/208?
416
Let l be (-1)/(36/40 - 1). Suppose -7 = t - 3*s, 4*t - 3*t - 4*s = -l. Calculate the lowest common multiple of t and 9.
18
Let x(t) = -38*t - 622. What is the smallest common multiple of x(-20) and 138?
138
Let c = 13 + -21. Let y be (19/(-8))/((c/2)/(-936)). Let l = y - -1139/2. Calculate the common denominator of l and -149/6.
12
Suppose 781 = 5*d + 2*i, 4*d = -27*i + 32*i + 638. Suppose -d*v + 164*v = 21. What is the least common multiple of 5 and v?
15
Suppose -200 = -5*y - 0*y. Suppose 0 = 3*s - d - 26, 4*d - y + 0 = -4*s. Calculate the least common multiple of s and 294.
882
Let t be 0 - 213 - 7/(-7). Let l = 224 + t. Calculate the lowest common multiple of l and 12.
12
Suppose -5*o - o - 312 = 0. Let u = 37 + o. What is the common denominator of (50/u)/(56/138) and 101/16?
112
Suppose -13*j = 21*j - 3570. Find the common denominator of j/(-8)*42/175 and 107/30.
60
Let h = -701 - -845. Calculate the lowest common multiple of h and 12.
144
Suppose 0 = -6*o - 122 - 118. Calculate the smallest common multiple of o + 41 + 1*15 and 78.
624
Let o(f) = -f**2 + 2*f + 5. Let r be o(0). Suppose -g = -5*n + 727 - 184, -339 = -3*n + r*g. Let v = -107 + n. What is the lowest common multiple of v and 8?
8
Calculate the common denominator of 87/2348 and 1547/(-980) - 4/(-10) - (-35)/(-140).
16436
Suppose -2302 - 54 = -62*l. What is the smallest common multiple of l and 1?
38
Let v = 2/16762471 + -1932327369491/201149652. Let g = -9597 - v. Calculate the common denominator of 13/(182/4) + (-271)/(-56) and g.
24
Let d(k) = -12*k**3 + 3*k**2 - 4. Let n be d(-2). Suppose 3*s - n + 68 = 0. What is the least common multiple of s and 18?
36
Let g(x) = -x**2 + 6*x + 31. Let t(a) = -9*a. Let v be t(-1). Calculate the smallest common multiple of g(v) and 48.
48
Let a = 36 + -30. Let l be (-2)/a - 2320/(-48). Suppose -5*u + l = 3*u. What is the least common multiple of u and 8?
24
Calculate the common denominator of (-5)/2*(-50)/(-132)*-2 and -71/162.
1782
Suppose 10*v - 3 = 267. Calculate the smallest common multiple of 210 and v.
1890
What is the common denominator of ((-1)/7)/(151708/1147898 - 4/(-122)) and -67/628?
17584
Suppose 2*q = 2*n - 72, 5*q + 40 = 8*n - 7*n. Suppose 679*l = 674*l + n. Let u = -17 + 24. What is the smallest common multiple of u and l?
7
Suppose -4*b + 5*g - 59797 = 0, 3*g = g + 2. Let m = -2750417/184 - b. Let z = 1521/2 + -797. Calculate the common denominator of m and z.
184
Let w(u) be the second derivative of u**5/20 - 11*u**4/12 + 3*u**3/2 - 35*u**2/2 - 64*u. What is the lowest common multiple of w(11) and 20?
320
Let l = 9964/5 - 218813/110. What is the common denominator of (-2)/8*1606/(-55) and l?
110
Let t(a) = -a**2 + 12*a - 14. Let w be t(11). What is the common denominator of (3 - 96/(-24)) + 67/(-2) and -2 - (w + 14/36)?
18
Let x = -19470575/16 + 42932476619/35280. Let o = x - 38/735. Find the common denominator of 67/38 and o.
342
Let l = -80354/9 + 8933. Calculate the common denominator of l and 3/992.
8928
Suppose 4*k + 5*i - 1432 - 877 = 0, 2*k - 1150 = -4*i. What is the least common multiple of 249 and k?
1743
Suppose 3*y - 5 = -5*v + 9, 5*v - 12 = -4*y. Calculate the common denominator of v and -18/5.
5
Let n be ((-24)/6 - -5)*-8. Calculate the smallest common multiple of 50 and n/(-3)*(-10)/((-240)/162).
450
Let p = -58162049/468 + 124278. Calculate the common denominator of -23/624 and p.
1872
Let p(h) = 165*h - 8757. Calculate the least common multiple of p(57) and 1512.
4536
Let w = -109 + 206. Let f = -85 + w. Suppose 10*q - 12*q + f = 0. What is the lowest common multiple of q and 7?
42
What is the common denominator of (1500/16)/(-5)*(-54)/2610 and 15/4?
116
Suppose -14*g = -11*g + 9885. Let c = g - -26443/8. Let o = 261879/20 + -13098. Calculate the common denominator of c and o.
40
Let z(y) = 2*y**2 + 21*y + 8. Let v be z(-10). Suppose 3*s = -0*s - 3*h, -2*s - 3*h = 2. What is the smallest common multiple of 6 and s/(-3)*v*(-18)/(-4)?
6
Let n = -23 - -76. Let g = n - 59. Find the common denominator of 97/(18/(-12)*(-184)/g) and 79/14.
322
Suppose -3*t + 4790 = -2*p - 3*p, 2*p = -4*t + 6404. Calculate the smallest common multiple of t and 8.
1600
Let n = -1874 + 3098. What is the lowest