d p.
1404
Let h(v) = -v + 15. Let w be h(15). Suppose 6*n - n = 5*j - 90, 2*j + 2*n - 20 = w. Suppose 5*m - 24 = -4. Calculate the lowest common multiple of m and j.
28
Let f = 3829841/392 + -9770. Calculate the common denominator of -59/160 and f.
7840
Let t = -258730 - -1019887/4. Let d = -223096/3 + 70598. Let g = t - d. Calculate the common denominator of 17/20 and g.
60
Calculate the smallest common multiple of (-250)/(-8)*(-312)/(-195) and 205.
2050
Let x = 3 - -32. Calculate the least common multiple of 4/10 + 1 + 1848/55 and x.
35
Find the common denominator of 59478/(-401648) + -12 + 25 + 167/(-13) and -37/22.
169928
Let i(r) = 6*r + 2. Let z be i(8). Suppose -4*u + z = -30. Let c(a) = 4*a**2 - 40*a + 44. Calculate the least common multiple of c(9) and u.
40
Suppose -4*j + 185 = -5*w - 0*j, -2*w - 67 = -3*j. Let p = -33 - w. What is the common denominator of 948/464*p/(-12) and 9/20?
580
Let i be -3 + 4/1 - -1. Suppose -38*w = 3*x - 40*w - 126, 0 = 5*x + i*w - 226. Calculate the least common multiple of x and 77.
308
Let z = 506 + -508. Let k = 3/470 + -918/235. What is the common denominator of k and (-322)/8 + -2 + z/8?
10
Let n be (6 + 12)/(1/3). Let o = -1/135 + -1159/270. Find the common denominator of o and 25/50 - (2 - 39/n).
90
Calculate the common denominator of 169/150 and (-1862)/2508 + 4/6.
1650
Suppose 0*a = -4*c - 4*a - 4, 2*c = 5*a + 19. Calculate the common denominator of (-1199)/66 - (4 - c) and 23/16.
48
Let j be (-40)/(-15) - 4/6. Calculate the least common multiple of 39/24 - (9 - (-675)/(-72)) and (1 - -1)/j + 21.
22
Find the common denominator of -1/50 and (498/4150)/(-6 - 0)*127/98.
4900
Let n = -109201/409320 - -231/758. What is the common denominator of n and -23/28?
7560
Calculate the common denominator of 11/106 and (57*30/340)/(8 + -2).
3604
Let k(m) = m**3 - 19*m**2 + 25*m - 10. Let q be k(18). Let o = 146 - q. What is the least common multiple of 27 and o?
270
Let l = -475302 - -286131875/602. Calculate the common denominator of l and -101/28.
1204
Suppose -8 = 16*s - 18*s. Suppose 3*r - 36 = s*d, -3*d + 6*d - 36 = -3*r. What is the common denominator of (9/r)/((-90)/(-76)) and -79/18?
90
Let i be ((-660)/(-75))/((-13)/(-50)). Let d = i - 553/39. Calculate the common denominator of d and 374/318 - 2/3.
159
Let u be 75/(-6)*(22/(-5) + 0). Find the common denominator of (1 - (-564)/140)/((-66)/u) and -115/84.
84
Let c be (1 - 9)*(-24)/(-32)*-4. Suppose 6*r = 10*r - 4*d - 72, -r + c = -4*d. Calculate the least common multiple of 380 and r.
1520
What is the common denominator of (-6)/(-248) + (-2)/8 and ((-24864)/1155)/(-32)*5?
341
Let n be 844/6*((-55)/10 + 4). Let i = -397 + n. Calculate the common denominator of -131/18 and 5/4*i/1040.
234
Let u = 60029/3663 - 600/37. Calculate the common denominator of u and ((-4)/54)/((-7)/(43155/60)).
198
Let i(o) = -5*o**3 - o**2 - 13*o - 12. Suppose 2*c - 55 = 1. What is the lowest common multiple of c and i(-1)?
140
Let q(i) = 36*i + 4. Let k be q(0). Suppose 4*d = k*p - 84, -p = -2*d + 4*d - 27. What is the smallest common multiple of 2 and p?
46
Suppose 2*n + 11 = -13. Let q = 12 - n. Let u = -25345 + 25354. Calculate the lowest common multiple of u and q.
72
Let z = -36927 + 3834. Let j = -1191475/36 - z. Calculate the common denominator of j and 55/2.
36
Let d(i) = 18*i + 67. Let m be d(-3). Suppose m*y - 17 = 14*y + 5*k, -2*y + 4*k - 90 = 0. Find the common denominator of 27/26 and y.
26
Suppose 3*d - 4*g = -20, -4*d + 0*g - g - 33 = 0. Let h(u) = -22*u - 131. Calculate the lowest common multiple of 180 and h(d).
180
Let v = -42732004621/10706670018 + 210567/163658. Let y be (-4)/(-6)*3/(-2423). Let x = v - y. What is the common denominator of 71/9 and x?
27
Let s = -4365 - -4618. What is the least common multiple of 207 and s?
2277
Let b = 182 - 183. Suppose -3*d = -8*d + 85. Let z = d - b. What is the smallest common multiple of 24 and z?
72
Suppose 5*o + 29*o - 7254 = 3*o. Calculate the smallest common multiple of 78 and o.
234
Let u(f) = f**3 - 72*f**2 - 215*f + 428. What is the least common multiple of 620 and u(75)?
11780
Let d(p) = 1340*p**2 + p + 14. Let s = -2 + 6. What is the least common multiple of d(0) and s?
28
Let i be (-15)/(-10)*442/39. What is the common denominator of 1 - ((-6)/20 + -1) and 9*i/510*(-4)/6?
10
What is the lowest common multiple of 837 and (-1083)/(-8) + (-7670)/10384 + (-8)/(-22)?
4185
Suppose 2*n = -n + 12. Let h(z) = -11*z - 28. Let x be h(-3). Suppose -53 + 93 = x*b. What is the least common multiple of b and n?
8
Let y(i) = -2*i - 36. Let u be y(0). Let x be (51/u)/((-1)/872). Let g = -1221 + x. What is the common denominator of g and 38/15?
15
What is the lowest common multiple of 2928/8 - (65 - 77) and 1512?
1512
Let t = 1054 - 984. What is the least common multiple of 49 and t?
490
Suppose 4*w - 2*o = 158, 2*w = -4*o + 128 - 44. Suppose 264 = 4*k + 8*d, k - 5*d - 61 = -6*d. Calculate the lowest common multiple of k and w.
280
Let n(d) = 1 + 1 + 9*d**2 - 2*d**2 - 10*d - 9*d**2. Suppose -4*w - 21 = q - 53, -61 = -3*q - 5*w. Calculate the smallest common multiple of q and n(-5).
12
Let y(q) = q**3 - 29*q**2 - 3*q + 92. Let s be y(29). Find the common denominator of -143/36 and ((-250)/60 + s)*(-42)/(-68).
612
Suppose 10 = -5*d + 45. What is the common denominator of 1/((-11)/(-24)) - 14/d and -12/11?
11
Suppose -28 = -3*i + 8. Suppose -32*l = 2*n - 30*l - 50, -4*l - 92 = -4*n. What is the lowest common multiple of n and i?
24
Let u be (0 - -3) + 69411/(-11250). Let j = 2/625 + u. What is the common denominator of j and (3/(-2))/((-92)/28 - -5)?
24
Let r(t) = -81*t + 4764. Calculate the least common multiple of r(50) and 63.
2142
Let y(d) = 4*d - 24. Calculate the smallest common multiple of 128 and y(8).
128
Let w = 1249 - 5119/4. Let a = w - -253/12. Let q = a - -109/6. What is the common denominator of -23/7 and q?
14
Let b be (-132*13)/(5/(0 - 5)). Let w = -1868 - b. Let c = 39478/11 + w. What is the common denominator of -79/10 and c?
110
Let t(p) = 11*p + 43. Let w(k) = 2*k - 1. Let b(r) = t(r) - 5*w(r). Calculate the smallest common multiple of b(-8) and 28.
280
Let l(x) = -x**3 - 20*x**2 - 49. Let a be l(-20). Calculate the smallest common multiple of ((-28)/a)/((-2)/(-119)) and ((-6)/(-5))/(6/40).
136
Suppose 31*m - 36*m - 2*g = -122, 7*m + g - 178 = 0. What is the smallest common multiple of (2/3)/((-1)/(-9)) and m?
78
Suppose -12*i + 12648 = 112*i. Calculate the smallest common multiple of 82 and i.
4182
Suppose -3*x + 5*u = -7*x - 6, -3*x - 10 = u. Let g(p) = -14*p - 32. What is the least common multiple of g(x) and 36?
72
Let n(c) = -80*c - 2594. Calculate the lowest common multiple of n(-34) and 243.
3402
Find the common denominator of 32/405 and 564/390 - ((-1)/4 + 65/676).
405
Let a = 26709/13 + -2053. Suppose 3*u = -5*h - 2*u + 1220, 4*h = 4*u + 992. What is the common denominator of a and (-12)/(-18)*(0 - h/(-8))?
26
Let l = -870/13 - -6011/104. Let t be ((-31)/15 + 2)/((-36)/(-8850)). Let i = t + -113/18. What is the common denominator of l and i?
24
Let o = 6289/5 + -75383/60. Let g = -1259343/58 + 21712. Calculate the common denominator of g and o.
348
Suppose -327 = 29*b - 5547. Calculate the lowest common multiple of b and 180.
180
Let h(o) = 1843*o**3 - o. Let z be h(-1). Let b = 27718/15 + z. What is the common denominator of (-8)/(-52) - 2673/1573 and b?
165
Calculate the smallest common multiple of (-9)/(-12)*(-8 - (-896)/21) and 112.
1456
Let n(j) = 75*j**2 - 11*j + 44. What is the lowest common multiple of 16 and n(-3)?
752
Let j = -18920 + 26977. Let k = j + -193423/24. Calculate the common denominator of 87/20 and k.
120
Let u(w) be the second derivative of -w**3/2 + 27*w**2 + 21*w. Calculate the least common multiple of 2 and u(-4).
66
Suppose -111*l = -142*l + 28582. What is the smallest common multiple of l and 22?
10142
Suppose 411 = -5*u + 371. Calculate the common denominator of 13/10 and u*8/80 - 82/(-20).
10
Let n = -643160 - -2523116663/3923. What is the common denominator of n and -8/3?
11769
Suppose -9*o = 4*o - 3*o. Let h be (1 - o)*(-8 + 10). Suppose 4*l = 3*l - h*c + 3, -4*l - 4*c = -20. Calculate the lowest common multiple of 2 and l.
14
Suppose 132*l - 27381 + 34080 = 11889