51 = -t. What is the smallest common multiple of (-16)/(-10)*(-375)/(-18) + 414/621 and n?
204
Suppose 9*c - 16*c + 105 = 0. Let y(r) = -r**3 + 21*r**2 - 35*r - 36. Calculate the smallest common multiple of c and y(19).
105
Let o = -1311 + 324. Let l = o + 13855/14. Calculate the common denominator of -85/22 and l.
154
Let v(x) = -241*x**3 + 2*x**2 + 4*x + 4. Calculate the smallest common multiple of 54 and v(-1).
486
Let v(b) = 2*b + b**2 - 2*b**2 - 2 - 3*b - 3*b. Let y be v(-6). Find the common denominator of -5/6 and (15/45)/(y/255).
42
Let n = -920 + 22117/24. Calculate the common denominator of n and 33/56.
168
Let m = 433/3 + -17785/123. What is the common denominator of m and -143/36?
1476
Let l(k) = 3*k - 74. Let x be l(27). Calculate the common denominator of -5/122 and (-291)/(-21)*x/(-6).
366
Let z be 48/14 - 6/42*3. Suppose 0 = -2*w - 8, -2*s + z*s + 4*w = -13. What is the smallest common multiple of 10 and 4/3*(12 + (-18)/s)?
40
Suppose 2*y + 423 = 3*w - y, -5*y = w - 135. Suppose l + 0*l + w = 2*o, -3*o + 192 = 3*l. Let j = o - 50. What is the lowest common multiple of j and 2?
18
Calculate the common denominator of (2/(-7))/(4/11) and (-20)/(-56)*469*22/770.
14
Suppose 0 = k + 4*f - 2, k + f = -0*k - 4. Let i = 12 - k. Calculate the smallest common multiple of 60 and i.
180
Let g(r) = -r**2 + 2*r + 1. Suppose 21*d - 18*d = 6. Suppose d*n + 14 = 4*w, -4*w - 11 = -8*w + n. What is the smallest common multiple of g(w) and 12?
12
Let s = 31917 - 31781. Calculate the lowest common multiple of 5304 and s.
5304
Let z = 7/1989 + 145099/27846. Find the common denominator of z and 83/((-204512)/24832) + 1*10.
154
Let k = -122407163/83286 - -77/11898. Suppose -4*g + 0*g - 5868 = 0. Let d = g - k. Find the common denominator of d and -41/36.
252
Let a(x) = -49*x - 1997. What is the least common multiple of a(-41) and 32?
96
Let x be 96/1*(-1)/(-3 + 2). Calculate the least common multiple of 4 - (1*x)/(-6) and 32.
160
Let c = 12329/8838 + -3/491. What is the common denominator of c and 6/(-3456)*-188 - 0?
144
Let r = -86 + 89. Suppose -2*h + 123 = -r*j - 3*h, -5*j = h + 207. Calculate the common denominator of -87/4 and (-153)/20*28/j.
20
Let i = 91639 + -11546345/126. Calculate the common denominator of -89/266 and i.
2394
Let w be (-5)/((-1435)/(-49)) - 4/(-18). Let k = -7636/2583 + w. What is the common denominator of (-76)/9*(-2)/6 and k?
189
Suppose 28*r + 248 = 152*r. Suppose 555 = 7*d - 2*d. Calculate the lowest common multiple of d and r.
222
Calculate the common denominator of (8 - (-886)/(-111))*(-6 - (-1017)/201) and -20/7.
17353
Suppose -4*f = 5*m - 5804, -5*f + 3636 - 164 = 3*m. Let g = m + -2373/2. Calculate the common denominator of g and 8/573.
1146
Let r = -17 + -17. Let l = r - -49. Suppose i = -0*i + l. Calculate the lowest common multiple of 33 and i.
165
Suppose 22*u - 107 = 1323. What is the least common multiple of 21 and u?
1365
Let z(k) = -8*k + 3*k**2 + 10 - 2 - 2*k + 0*k**2. Let o be z(3). Find the common denominator of 5/36 and (o/21 - (-4)/(-14))*-3.
252
Let k = -26604 + 27728. Calculate the lowest common multiple of 8 and k.
2248
Let c(t) = -2*t**3 + 43*t**2 - 98*t - 33. Calculate the lowest common multiple of c(-13) and 16.
103216
Let g be -1414*2*(-119)/72. Let r be (-126)/567 + (-1 - (-126393)/27). Let z = g - r. Find the common denominator of -73/50 and z.
450
Calculate the smallest common multiple of -58*(-6 - (-13)/((-104)/12)) and 70.
6090
Let k = -9202 + 165527/18. Let g = -18891330/41 - -460790. Let a = g - 12292/615. Calculate the common denominator of k and a.
90
Suppose 8*y = 20 + 92. Let s(j) = 2*j**2 + 4*j**2 + 0 + 2 + 2*j. What is the smallest common multiple of s(-2) and y?
154
Let h(r) = -68 + 252*r - 118*r - 112*r. What is the smallest common multiple of 36 and h(8)?
108
Let a be ((-24)/48)/((-1)/50). Calculate the common denominator of 79/6 and (2/a)/((-276)/(-2691)).
150
Let w = -370370 - -129629603/350. Calculate the common denominator of w and (-282)/220 + (48/(-40))/(-2).
3850
Let w be 1 - 9/(-6 + 3). Let c = -833 - -830. What is the lowest common multiple of ((-4)/c)/w*6 and 12?
12
Let s be (30/75)/((-2)/(-180)). Find the common denominator of (s/495)/((-1)/(-20)) and 41/14.
154
Let v(f) = -f**2 - f. Let n be v(-4). Find the common denominator of n/18*110/12 and ((-158)/8 - 0) + -1.
36
Let t = 367900/21 + -17522. Find the common denominator of t and -59/3549.
3549
Calculate the lowest common multiple of (-72)/(8 + -5)*(-162)/12 and 8.
648
Let q(y) = y**2 + 15*y - 20. Let n be q(-16). What is the common denominator of (-1668)/(-320) + (n/(-10))/(-1) and 7/(-5)*(-10)/32?
16
Let d = -5004667/169756190 + -1/147230. Calculate the common denominator of d and -23/6.
6918
Let d = 21469/2484960 - 1/26720. Calculate the common denominator of 55/51 and d.
7905
Let f be ((-560)/100)/((-1292)/(-1690)). Let k = -146/17 - f. Find the common denominator of 109/6 and k.
114
Suppose 9*f = -52 + 214. Let p be (-4)/(-4) + 2 + 1. Suppose 0 = -p*n + 30 - 10, 3*n = -3*y + 69. Calculate the smallest common multiple of y and f.
18
Suppose -4*r - 18 + 54 = 0. Suppose 0 = 5*f + 3*z - 24 + r, -3*z - 27 = -2*f. Let x = 271 + -239. Calculate the least common multiple of x and f.
96
Find the common denominator of 57/308 and 10209/15106 - (-1 + (-8)/(-6)).
12012
Suppose -240 = 12*i - 2*i. Let o be (-1*(-6)/i)/((-5)/10388). Let q = 41277/80 - o. Find the common denominator of 9/10 and q.
80
Let t(f) = f**2 + f - 3. Let m(u) = 2*u + 1. Let o be m(-2). Let w = -82646 + 82649. Calculate the lowest common multiple of w and t(o).
3
Suppose -13*a - 4*a + 4657 = -341. What is the smallest common multiple of a and 546?
3822
Let l = 151 + -143. Let i = 17 + 23. Suppose i + 36 = 2*c. Calculate the smallest common multiple of l and c.
152
Suppose 0 = -2*t + 163 - 37. Suppose -5*u + 6*x - 4*x = -253, 4*u + 5*x - 176 = 0. What is the lowest common multiple of t and u?
441
Let f = -155705/3 + 51890. Let w = 1713/4 - 15599/36. Find the common denominator of f and w.
18
Let s be ((-13708)/(-28) + 0)*1. Let x = 488 - s. Calculate the common denominator of x and (2 - (-6 - -11)) + 93/(-21).
7
Let a = 167/8 - 189/8. Calculate the common denominator of (-10 - (-32)/(-3))*1/(-24) and a.
36
Let a(c) = 12*c**3 - 2*c**2 - 4*c + 4. Let u be a(1). Let w be (2 - 30/9)*-18. Suppose -8*z = -u*z + w. What is the lowest common multiple of z and 33?
132
Let d(f) = -3 + 3*f + 2 + 82. Calculate the least common multiple of d(-4) and 15.
345
Let i = -40/29 - 1170/203. What is the common denominator of ((-29)/((-2320)/(-32)))/(56/(-15)) and i?
28
Let d be (-10892)/(-18) + 1 + (-5)/10*2. Let a be (-10619)/18 - (-1 - -1). Let t = d + a. What is the common denominator of -31/12 and t?
12
Let f = 530 + -524. Suppose 0 = -42*k - f*k + 3552. What is the lowest common multiple of 30 and k?
1110
Let y = -23966/19953 - 35/2956. Let v = 618 + -36983/60. What is the common denominator of v and y?
540
Let q = -41550821/1080 - -38473. Find the common denominator of -17/44 and q.
11880
Let p = -24 + 64. What is the smallest common multiple of p and (21 + -19)*(-1 - -6)?
40
Let w = 5269 - 126347/24. Calculate the common denominator of w and -1 - ((-27)/(-4) + 3)/1.
24
Suppose 14076 = -6*x + 32*x - 14*x. Calculate the least common multiple of x and 51.
1173
Let n be ((-6)/(-9))/(8/96). Calculate the common denominator of (1/(-2))/(n + 735/(-85)) and 321/(-110) + 2/(-5).
22
Let u = 7 + -16. Let x(a) = -a**2 + 11*a - 18. Let b be x(8). What is the common denominator of -7 + -2 + 19/b and u?
6
Let n = 38538/19675 + 1/787. Find the common denominator of n and -71/800.
800
Let m = 425 + -325. Calculate the lowest common multiple of m and (45/12)/(3/12).
300
Let f(d) = 2*d - 6. Let s(l) = l - 9. Let a be s(12). Let g be f(a). Suppose 4*y - 5 - 7 = g. Calculate the least common multiple of 1 and y.
3
Suppose t + 122 = -2*y, y + 360 = -5*t - 232. Let w = t + 120. Suppose w*n + 20 = 48. Calculate the least common multiple of 40 and n.
280
Let s = -10983646/575 + 19102. Find the common denominator of -6/7 and s.
4025
Suppose -9*q + 4*q = -30, 0 = 2*k - 4*q - 3784. Calculate the lowest common multiple of 16 and k.
1904
Let q(d) = d + 1. Let c(f) = -27*f - 159. Let s(v) = -c(v) 