0
Suppose 5*k + w = 5*w + 3033, 0 = 2*k + 3*w - 1204. Let b be 56/10 + 10/25. Calculate the common denominator of k/66 - b/4 and -15/7.
21
Let l = -1512446 + 12076165/8. Let g = l - -2930. Let t = -700 - -11209/16. Find the common denominator of t and g.
16
Let s = 918 - 9197/10. What is the common denominator of s and -9/626?
3130
Let m = 196 + -191. Suppose n + 2*s = 22, -3*n + 2*s - m*s + 72 = 0. What is the least common multiple of 16 and n?
208
Let b(w) = 47*w**2 - 68*w + 78. What is the smallest common multiple of b(-11) and 18?
39078
Calculate the common denominator of -43/1464 and (-4)/(-9) + 21966/21168.
10248
Suppose -4*o + 8*o - 100 = 0. Let z = o + 84. Calculate the lowest common multiple of z and 3.
327
Let b(q) = -q**3 - 19*q**2 - 35*q - 3. Suppose 9*u + 124 = -29. Calculate the least common multiple of b(u) and 1084.
7588
Let x(f) = f**3 + 3*f**2 - 4*f + 1. Let t be x(1). Let b be (-5)/(4/8 + t)*-3. Find the common denominator of -47/6 and (201/(-6))/(4 + (-3 - b)).
18
Let y = 13016/11 - 1406399/1188. Find the common denominator of y and 2 - (387/54 + 4).
108
Let s = 3895/22 + -175. Let i be (-1 - 3) + 2 + (-1617)/28. Let x = -58 - i. Calculate the common denominator of x and s.
44
Let z be (3 - -1 - 1)*98/2226. Let l = 2777/159 - z. What is the common denominator of 34/45 and l?
45
Let z be (-2)/132*120/(-1635). Let u = 111779/244596 - z. What is the common denominator of u and 93/4?
68
Suppose 8 = 3*f + 2*x - 51, -5*f - 4*x + 95 = 0. What is the least common multiple of (f - (-2 + 5))/(2/4) and 12?
120
Let g = 596953/202 - 2955. Calculate the common denominator of g and 64/(-3) - 26/(-52).
606
Calculate the common denominator of 149/216 and -2 + 1 - (-59)/((-1465560)/(-26600)).
4968
Let q(x) = x**3 - 4*x**2 + 3*x - 11. Let t be q(4). What is the common denominator of t/(-15)*(-5)/(80/748) and 53/16?
240
Let m = 2260/9 - 58811/234. Let k = -201/199 - -25393/11940. Calculate the common denominator of k and m.
780
What is the least common multiple of (-71 - -8)*4/(-18) and 1242?
8694
Let n(m) = -m - 1. Calculate the least common multiple of (9246/(-207))/((8/6)/(-2)) and n(-4).
201
Calculate the least common multiple of (-5 + -482 - -5)*(-4 - 3/(-1)) and 5.
2410
Let o(r) = -315*r - 147. Let d be o(-14). Let i = -3411751/850 - 12397/50. Let x = d + i. Calculate the common denominator of 54/5 and x.
85
Let c(v) be the first derivative of -263*v**3/3 + 2*v**2 + 4*v - 2. Let n be c(3). Let j = n + 23541/10. What is the common denominator of -9/4 and j?
20
Suppose 117*k = 187*k - 3360. Find the common denominator of k and 46/1047.
1047
Let g = 521/2 + -231. Let b = g - 353/12. What is the common denominator of b and -9/20?
60
Suppose 2*m = 2*x + 2*x + 9514, 4*m - 19016 = -4*x. Let b = m - 38117/8. Find the common denominator of b and ((-54)/(-16))/(21/4).
56
Suppose 0 = -5*l + l - 9520. Let i be (-257974)/l + (-1)/(-5). Let x = -1976/17 + i. What is the common denominator of x and -49/16?
112
Let d = 30 + -20. Suppose -20*j = -311 - 1209. Calculate the lowest common multiple of j and d.
380
Find the common denominator of (13/6)/(15/9)*(-1040)/(-780) and 151/120.
120
Suppose 0 = 2*k + 4, -4*r + 5*r = 5*k - 108. What is the smallest common multiple of (30/(-20))/(r/112 + 1) and 36?
252
Let r(t) = t**2 - t + 27. Let w be r(0). Suppose 2*n = -5*b + 9*b - 36, b - w = 5*n. What is the smallest common multiple of b and 10?
70
Let t(p) = 9*p**3 + 6*p**2 - 36*p - 12. What is the smallest common multiple of 66 and t(6)?
21252
Suppose 4*p - 93 = -5*d, 8*d - 13*d + 5 = 0. Let s be ((-16)/(-6) + -2)/((-6)/(-9)). Calculate the least common multiple of p and (-15)/(s - 16/10) - -1.
286
Let q be ((-774)/(-21))/3 - 2/7. Find the common denominator of (2094/360 - 1) + q/16 and 137/12.
60
Suppose -4*m - h = -39 + 7, 2*m + 2*h - 10 = 0. Calculate the least common multiple of m and 9*(-10 - 80/(-6)).
90
Let g(t) = 31*t + 13. Let p be g(-3). What is the common denominator of p/140 - ((-230)/(-154) + -2) and -57/4?
308
Let n(w) = 1471*w - 15. Calculate the lowest common multiple of n(1) and 18.
13104
Let f = 18166 + -9347. Let t = f - -4830. Let r = 245801/18 - t. Calculate the common denominator of r and 39/20.
180
Suppose -5*p + 1760 = -600. Let t = p + -470. Let z(h) = h**3 - 4*h**2 + h + 1. Calculate the smallest common multiple of z(4) and t.
10
Suppose 0 = -2*y - 4 + 4. Suppose y*u = u - 5*z - 11, 3*u - 4*z = 22. What is the least common multiple of 48 and u/4 + 51/6?
240
Let r = -7652 - -9434. Calculate the lowest common multiple of r and 432.
14256
Let w(j) = -405*j + 2175. What is the least common multiple of w(5) and 20?
300
Let f be 2100/(-36) + 4 + 1/3. Find the common denominator of 19/30 and ((-9)/f)/((-2)/((-292)/(-63))).
1890
Suppose 0 = -166*i + 110837 + 250545. Calculate the lowest common multiple of i and 622.
4354
Let o be 8/(6/(1 - -2)). Calculate the common denominator of 254/(-210)*(-10)/o and (2 - (-20)/(-12)) + 890/(-300).
210
Let f = 12184/7021 + -1/14042. Suppose 409 - 427 = -6*h. Find the common denominator of f and (-606)/(-4)*h/(-81).
306
Suppose -o + 10757 + 28056 = -2*f, 2*o - f = 77611. Let g = o - 73143652/1885. Let d = g + -103723/30160. What is the common denominator of d and -95/2?
16
Let j(m) = 266*m**2 - 4*m + 17. Let x be j(-7). Let h = x + -261677/20. Find the common denominator of 113/10 and h.
20
Suppose -105 = 61*h - 68*h. Calculate the lowest common multiple of h and 1474/14 - 6/21.
105
Suppose -3*h - 2*w = 19340, -4*h + 0*h - 3*w = 25785. Let k = -129053/20 - h. Let x = -314747/20306 + 2/10153. What is the common denominator of x and k?
20
Suppose 2*i + 11 = r, 0 = i - 3*i - 6. Suppose -2*x + 5*z + 15 = 3*x, -5*x + 15 = r*z. What is the lowest common multiple of 4 and x*(-2 + 17/3)?
44
Suppose 36 - 52 = -2*n. Calculate the lowest common multiple of n and 0 + -3 + 6 + 108.
888
Let d = -984151/194 + 5073. Find the common denominator of 13/90 and d.
8730
Let b = -11586 - -11598. Let s = -4 - -10. Calculate the smallest common multiple of s and b.
12
Let s = -22/101499 - -6509435851/2232978. Let d = 2916 - s. Find the common denominator of -91/46 and d.
506
What is the common denominator of 37/54 and (-17)/((-1785)/(-14))*(-1130)/(-3312)*2?
1242
Let v = 381679/28 - 13632. What is the common denominator of v and 53/152?
1064
Let x be (-9)/6 + 4/(-8) - -8663. Let p be ((-4)/2226)/(1*10/x). Let f = 4/265 - p. What is the common denominator of f and 121/6?
42
Suppose -5*t - 3*b + 32 = 0, 11 - 3 = 2*b. Suppose z - 112 = f - 3*f, t*z - f - 430 = 0. Calculate the smallest common multiple of z and 12.
108
Let m be -1*(-6)/(-10)*(-1 + 26). Find the common denominator of 114/m*80/(-1472) and 17/11.
506
Let y = -1743 + 1747. What is the smallest common multiple of y and 78?
156
Let z = 81 - 81. Suppose -5*o + 36 = -o - q, 5*o - 5*q - 30 = z. Calculate the common denominator of (-4 - (-65)/o)*(-224)/(-110) and -83/20.
220
Let f be -5 + 5*(4 + (2 - 2)). Let p(j) = j**3 - 13*j**2 - 24*j - 75. Calculate the lowest common multiple of 45 and p(f).
45
Let t(y) = y**2 - 8*y + 25. Let b be t(5). Suppose -b*o + 30 + 150 = 0. Suppose -15 = -4*v + 49. Calculate the least common multiple of o and v.
144
Suppose -6 = 3*n + 12. Let w be (n/5 - -3)*249. Let c = w - 13781/30. What is the common denominator of -17/22 and c?
66
Let h = -6/547 - -25180/1641. Let q = h - 191/18. Find the common denominator of 7/255 and q.
1530
Calculate the common denominator of (7 + 91/(-14))/(1/45) and 1/(-32)*1250/15*-2.
24
Let g = 1080066 + -1079976. Suppose -438 + 78 = -5*f. What is the smallest common multiple of g and f?
360
Let j(s) = 44*s**2 + 4*s. Let a be j(-1). Suppose 5*i + 0*i - 40 = y, 5*i = 2*y + a. What is the smallest common multiple of 46 and i?
184
Let c be 1126 + (2/((-10)/15) - 1). Suppose -10*h + c = -7*h. What is the lowest common multiple of 18 and h?
3366
Let x(p) = -5 - 94*p + 1 - p**2 + 104*p. Let r = -38 + 44. Calculate the smallest common multiple of 4 and x(r).
20
Find the common denominator of 0 + 422/(-455) + 2/15*3 and -31/357.
4641
Let a = -3807 - -4334. What is the smallest common multiple of a and 170?
5270
Let w be (-20)/6*(-33)/22. Suppose 2*u - 2*g + g + 45089 = 0, w*u + 112700 = -2*g. Let y = u + 585999/26. What is the