 1 and c.
3
Let o = 3032/2945 - 4/4123. Find the common denominator of 17/110 and o.
770
Let q = 139 - -5. Let t(g) = g**3 - 4*g**2 + 4*g + 4. What is the lowest common multiple of t(4) and q?
720
Let h be (9 - 8)/((-70)/(-23) - 3). Suppose -13*k + 497 = -h. Calculate the least common multiple of 70 and k.
280
Let w(t) = -6 - 11*t + 18*t + 13*t. Let k be -1 - (-16 - (-238)/17). Calculate the least common multiple of 16 and w(k).
112
Let i(o) = -o**3 - 3*o**2 - 2*o - 3. Suppose 20*k - 63*k + 2754 = 11*k. Calculate the least common multiple of i(-3) and k.
51
Let r = 524 + -469. Suppose -5*y + 24*b = 19*b - r, -4*y - b = -39. Calculate the lowest common multiple of 85 and y.
170
Calculate the common denominator of -51/512 and (-1607)/728 - (13 + 2223/(-169)).
3584
Let d = -1 + 2. Let t = -677/7 + 3317/28. What is the common denominator of ((-22)/24)/d*-5 and t?
12
Let b = 31058/8547 - -2/777. What is the common denominator of b and -25/2651?
2651
What is the common denominator of 22/(-55) - 1/2*178/140 and -129/1540?
1540
Let i = 5 + 5. Let p be -6*-2*358/24. Let s = p + -177. Calculate the smallest common multiple of i and s.
10
Let c(k) be the third derivative of -3*k**4/4 + 19*k**3/6 + 17*k**2. Let g be c(20). Let l = -2743/8 - g. Calculate the common denominator of -119/12 and l.
24
Let n(m) = -498*m**3 - 3*m**2 - 11*m - 13. What is the lowest common multiple of n(-2) and 6?
7962
Suppose -5*l - 4*t = -4, -4*l - 5*t - 2 = 2. Suppose -l*s - 265 = s. Calculate the common denominator of (-1)/(16/s) + 1 and 11/10.
80
Let b be -1 - ((-7)/1 - -1). What is the common denominator of (-140)/420 + (-302)/(-96) and (-431)/(-40) - 2/b?
16
Let b = -20/411 - -4721/4110. Let v = 1510163/60 - 25170. Find the common denominator of v and b.
60
What is the common denominator of 137/12 and -7 - ((-150)/(-4) + -4 - -8)?
12
Let d(l) = -l**3 - 9*l**2 + 10*l - 3. Let z be d(-10). Let h = -75469/14 + 5386. Calculate the common denominator of h and 15/(-2)*((-54)/(-40))/z.
56
Suppose 23 - 5 = -3*x + 4*w, -63 = -3*x - 5*w. Calculate the lowest common multiple of 7414 and x.
22242
Suppose -6*a = -19*a - 52. Let o be 1*a/18 + 3340/45. Suppose 40 = 2*w + f, -2*f - o = -3*w - 0*w. Calculate the lowest common multiple of 16 and w.
176
Suppose v - 9 + 87 = q, 4*q + 5*v - 339 = 0. Calculate the lowest common multiple of ((-11)/(-110)*-2)/(6/(-180)) and q.
162
Suppose -125*t - 510 = -130*t. What is the lowest common multiple of 159 and t?
5406
Let o be (54145/(-30))/7 - (-2)/(-4). Let d = o - -2300/9. Calculate the common denominator of (4/(-6))/((-18)/43) and d.
27
What is the common denominator of (-453)/18 - (-1 + -14 + 11) and 45/2968?
8904
Let m(r) = -26*r + 121. Let v be m(-21). What is the smallest common multiple of ((-10)/35 - v/(-7)) + -3 and 20?
460
What is the common denominator of 1/8 and ((-94)/(-1413))/((-30)/45)*-3?
1256
Suppose 449 + 9 = 2*a. Let s = a + -223. What is the smallest common multiple of s and 11?
66
Let c = -290 + 643/2. Let k = 32379821/1689 - 19171. Let f = 153707/6756 - k. What is the common denominator of c and f?
4
Suppose -8*z + 13*z = 260. Let l = -9 - -10. Calculate the lowest common multiple of z and l.
52
Let n(f) = -206*f - 1846. What is the smallest common multiple of 1860 and n(-9)?
3720
Let x = 19 + -8. Let c(t) = t**2 - 11*t + 15. Let m = -13198 - -13204. Calculate the lowest common multiple of m and c(x).
30
Suppose -130*s - 18 = -133*s. Calculate the common denominator of ((-539)/21 + -8)*s/(-44) and (54/(-416))/((-5)/60).
572
Let s = 95 + -84. Suppose 8*x - s*x = -27. Suppose 0 = -12*u + x*u + 87. What is the lowest common multiple of u and 4?
116
Calculate the common denominator of 79/14 and -37 + 38 - 62/20.
70
Let a = 1977/2 + -55267/56. Suppose b + 3 = -1, -12 = 5*g + 3*b. Find the common denominator of a and 284/(-88) + (-1 - g).
616
Let f be 5*(3 - 1)*5/10. Suppose -3*w = f*w - 640. Calculate the common denominator of 1/30 and 1178/(-252) - (w/(-35) - -2).
90
Let g be (1/((-3)/111))/(6 + -5). Find the common denominator of -145/12 and g/(-74) - (-46)/24.
12
Let g = 454735/93 - 14674/3. Calculate the common denominator of g and 35/788.
24428
Let u = 424662222251/2392263120 - -21330/586339. Let x = u - 3020/17. Find the common denominator of 5/16 and x.
240
Let c = 1564/3 + -1031/2. Calculate the common denominator of c and 83/1362.
1362
Let g = 472772/1433523 + -2/15753. Find the common denominator of 74/273 and g.
273
Let c = -39 + 41. Let a(o) = o - 5. Let q be a(c). What is the common denominator of -23/10 and 2 + 2 + q + -9?
10
Find the common denominator of 0 + -3 - 44/64 and 7 + -3 + (-1105)/140.
112
Let t(v) = 6*v - 65. What is the least common multiple of 2/(4/(-60)*-2) and t(20)?
165
Let u(a) = -a**3 + 3*a**2 + a - 1. Let i be u(0). Let b be -3*i/3*-50. What is the common denominator of (2 + -2)/(-3) + b/(-4) and -53/5?
10
Suppose 12 = 41*u - 37*u. Find the common denominator of ((-402)/220)/((-84)/20 + u) and -13/8.
88
What is the common denominator of -59/80 and 7*73/100 + -26 + 6 + 16?
400
Let o be -1*(-9)/((-450)/109105). Let f = o - -2184. What is the common denominator of -95/86 and f?
430
Let x be (-935)/(-385)*(-11422)/(-3). Let i = x + -9243. Let c = -14563/1431 - -612/53. Find the common denominator of c and i.
189
Let n(i) = -i + 48. Let c(d) = 515*d + 25816. Calculate the smallest common multiple of c(-50) and n(0).
528
What is the common denominator of 97/3672 and (233/4194)/((-44)/762)?
40392
Let r(m) = 2*m**2 + 16. Let g be r(-4). Suppose 13*p - 56 = g. Suppose 30*y = 29*y + p. What is the lowest common multiple of y and 18?
72
Let i = -8207063/120 - -68391. Calculate the common denominator of 41/300 and i.
600
Suppose -4*w + 2271 = 3*o + 356, o + w - 640 = 0. Calculate the lowest common multiple of o and 51.
10965
Suppose -207*b - 414*b + 96138 = 33*b. Calculate the least common multiple of b and 168.
1176
Let x = -237 - -259. Suppose -4*d + d = 5*r - 1843, 2*d = 4*r - 1470. What is the common denominator of x and (3/5)/(24/r)?
5
Let a = -2273 - -29667/13. Let l be (-1329)/14*(-7)/(-273). Let z = l + a. Calculate the common denominator of z and 21/11.
154
Suppose 0 = 2*z - 4*f + 355 + 315, 3*f = -z - 315. Let d = z - -2703/8. Calculate the common denominator of (3 - (-1397)/(-110))/(-2) and d.
40
Let x(l) = 6*l + 64. Let m(z) = 6*z + 64. Let f(r) = -5*m(r) + 4*x(r). What is the smallest common multiple of f(-21) and 8?
248
Let k be ((-948)/9)/((-2)/(-39)). Let a = 92438/45 + k. Find the common denominator of a and 131/90.
90
Suppose 3*q = t + 61 - 902, 3*t + q - 2493 = 0. Calculate the least common multiple of 11 and t.
9152
Let i(v) = v - 4. Let w be i(2). What is the smallest common multiple of (-2)/3 + 141/9 and -1*(-198)/9*(-1)/w?
165
Let f(s) = -s**3 + 7*s**2 + s - 6. Let v be f(3). Let j be ((-12)/196)/(v/(-2)). Let t = j + -9199/9702. What is the common denominator of t and -76/15?
90
Let z be (-5)/(-4) - (-24)/32. Suppose -3*x + z*x + 24 = 0. Let j = -1198 + 1210. What is the smallest common multiple of j and x?
24
Suppose -2*j = -b - 55742, 0 = -4*j - 0*j + b + 111488. Let x = j + -836107/30. What is the common denominator of x and (-71)/((-3)/((-6)/(-8)))?
60
Let n = 42 - 40. Suppose -4*z + n = -k, 4*k - z + 9 = 31. Let u = 20 - 12. What is the least common multiple of u and k?
24
Let h(u) = -u**2 + 4*u + 2. Suppose -2*w + 20 = 4*i, -22*w + 24*w + 10 = 2*i. Calculate the least common multiple of i and h(3).
5
Let d(f) = -2*f**2 - 21*f + 16. Let n be d(-11). Suppose 0 = -4*v - n*w + 440, 5*v - w - 550 = -0*w. Calculate the least common multiple of v and 110.
110
Let y(v) = -2*v**2 - 40*v + 48. Suppose 0 = 4*p + 4*u + 84, -5*u + 2*u + 97 = -5*p. Calculate the least common multiple of y(p) and 60.
240
What is the lowest common multiple of 9 and ((-28)/21)/4*-3?
9
Let d = 6807977/144 + -47277. Let q = 18762 + -450167/24. Find the common denominator of d and q.
144
Let y = -3649 + 419632/115. Calculate the common denominator of 23/15 and y.
345
Let n(c) = 127*c**2 + 1533*c + 120. Let g(f) = -f**3 + 7*f**2 - 3*f + 4. Let m = -15 - -21. What is the smallest common multiple of n(-12) and g(m)?
132
Let v = 69613/30 - 2324. Let l = 2448 + -14641/6. Calculate the common denominator of v and l.
30