e -31*d + a*d - 720 = 0. What is the least common multiple of 90 and d?
720
Suppose 91 = 5*k - 279. What is the smallest common multiple of 258/(-54) + 5 + (-7)/(-27)*30 and k?
296
Let q(y) = y**3 - 2*y**2 - 20. Let b(x) = -3*x + 49. Let l be b(15). What is the lowest common multiple of q(l) and 10*(4/(8/2))/2?
60
What is the common denominator of 172909/(-24750) + 28/4*1 and 43/30?
2250
Let y be (-2 - (8/4 + -2))/1. Let f be ((-10)/(-105))/(y + (-6940588)/(-3470306)). Let a = 13776 + f. Calculate the common denominator of 23/12 and a.
36
Suppose -762*d = -677*d - 183855. What is the smallest common multiple of 18 and d?
12978
Let h(a) = a**3 + 15*a**2 + 10*a - 48. Let q be h(-14). Suppose -3*x - 5*g = -173, 2*g + q = -2. Calculate the least common multiple of 12 and x.
132
Suppose 12*y - 69 = -9. Suppose -y*h + 1550 = -1540. Calculate the lowest common multiple of 16 and h.
4944
Suppose r + 28 = 5*h + 5*r, -4*h - 5*r + 26 = 0. Let f be 4 + 193*h/(-180). Let j = f - 113/45. What is the common denominator of j and -9/4?
20
Let o = 4586/21 + -1327/6. What is the common denominator of 224/(-6)*3/36 and o?
126
Suppose 5*c - 1 = -58*u + 59*u, -4*c + 26 = u. Calculate the smallest common multiple of 58 and u.
406
Find the common denominator of -25/13 and (158/57828)/(-1 - 61/(-62))*3.
793
Let o(z) = -2*z**2 + 14*z - 3. Let v be o(7). What is the lowest common multiple of 30 and (-308)/42*v*(-6)/(-4)?
330
Calculate the common denominator of (-293)/(-90) - 30/(-225) - -2 and 6*(-259)/(-168) - 5/3.
36
Let n = -199832 - -1192261/6. Let d = n - -1116. What is the common denominator of d and -38?
6
Let l(b) = -b**3 - 4*b**2 + 5*b + 3. What is the least common multiple of ((-4)/(-8))/((15/120)/(2 + -1)) and l(-5)?
12
Let p(c) = 146*c**2 + 2*c + 3. Let w be p(-6). Let j = w + -31573/6. Let s = -536441 + 9655985/18. Calculate the common denominator of s and j.
18
Let n = -1780/283 - -3216579/510815. Find the common denominator of -71/3 and n.
5415
Let x = 0 - -13. Let u = x + -8. What is the lowest common multiple of u and 368/(-828) - (-103)/9?
55
Let w = 52093165/7392 + -49331/7. What is the common denominator of -161/960 and w?
10560
Let v = 174035/24 - 7254. Find the common denominator of 3*9/(-22) + (-2286)/(-1016) and v.
264
Let o = -12611489/129 + 97763. Let x = -19537/10263 - -36/311. Calculate the common denominator of o and x.
1419
Let j(d) = 75*d + 1. Let z = 802 + -479. Let a = -313 + z. Calculate the least common multiple of a and j(1).
380
Let i be 12/((-10)/(560/21)). What is the common denominator of 92/15 and 273/(-90) + i/40?
30
Let o be (-196)/(-6) - (-3 + 66/18). Suppose 6*n = 122 + 10. What is the least common multiple of (-16)/o*(-3 + -1) and n?
22
Calculate the common denominator of -30/47 and -7 - (22662/(-1410) + 9).
235
Suppose -n + y = -83, 5*n - 2*y - 410 = 2*y. Calculate the common denominator of n/4*(-6)/15 and -121/40.
40
Let w = 2339/279 + -5/31. What is the common denominator of 151/3480 and w?
10440
Calculate the common denominator of 49/1170 and (5/6*1/(-125))/(8/1340).
2340
Let d(u) = 13*u**2 + 1. Let i = -54125 + 54134. What is the smallest common multiple of i and d(-1)?
126
Let i = 209 + -191. Suppose -4*c + i = -c. What is the least common multiple of c and 36?
36
Let q = 25100/3 + -451691/54. Calculate the common denominator of q and 127/3822.
34398
Let k(w) = w**2 - 150*w + 1682. What is the least common multiple of k(12) and 2798?
36374
Let j = 1690 + -6693/4. Let y = -223/49725 + -2/975. What is the common denominator of j and y?
612
Suppose b = 2*d + 1, 3*b = -7*d + 10*d. Find the common denominator of b*4098/(-1092) + (-4)/(-14) and -67/16.
208
Let z = -284 + 263. What is the lowest common multiple of z*3/2*(9 + -17) and 12?
252
Suppose 12*x - 48 = 24. Calculate the smallest common multiple of 21 and (-1472)/(-48) + (-4)/x.
210
Let r = 270 + 416. What is the least common multiple of r and 17?
11662
Find the common denominator of -2 - (-1 + 47/(-75)) and (4720/(-1000))/((-24)/20).
75
Calculate the common denominator of (2/(-20))/(2548/(-436) - -6) and -34/35.
1190
Let l(m) = 2*m + 27. Let j be l(-4). Let h(u) = -11 + 12*u + 10*u + 0*u**2 + 6*u**2 - j*u + u**3. Find the common denominator of h(-6) and 22/7.
7
Let j be ((-24)/(-9))/(5/1341 + 0). Let m = 720 - j. What is the common denominator of m and -11/6?
30
Let u = -8 - -16. What is the lowest common multiple of (-1 + -2)*(-10640)/1995 and 66/4*u/6?
176
Let h(d) be the first derivative of -d**4/2 + 29*d**3/3 + 15*d**2/2 + 9*d + 29. Suppose -15 - 75 = -6*k. Calculate the smallest common multiple of h(k) and 33.
99
Let j(u) = u**3 + 11*u**2 + 32*u + 6. Let d be j(-5). What is the lowest common multiple of 45 and -3 - 18/(12/d)?
45
Let f = 1 - 3. What is the common denominator of ((-51)/132)/((-2)/8) and 0 - -1 - (0 + f/(-4))?
22
Let y = -4769 + 5744. Calculate the lowest common multiple of 21 and y.
6825
Suppose 6*i - i + 34 = 3*z, 20 = -4*i. Suppose 9*o - z*r = 4*o + 55, -o - 2*r = 2. Calculate the lowest common multiple of 9 and o - 8*(-2)/(-4).
36
Let k be -1 + 1 + -3 + 492 + -70. Let l = k + -411. What is the least common multiple of l and 31/(-2 + 0 + 3)?
248
Calculate the common denominator of (3/(-2))/((-6)/(-58)) and (-34)/153*((-269)/234 - 6/13).
162
Suppose 12 = -0*i + 2*i. Let d(m) = -11*m - 2*m + 10*m - 5*m - m**2 - 3. What is the lowest common multiple of i and d(-6)?
18
Suppose -49 = -4*c - l, 6*c - 3*c + 5*l = 41. Let i be ((-20)/30)/(2/c). Calculate the common denominator of 91/12 and (-1651)/(-117)*(-2)/i.
36
Let p(b) = -14*b + 264. Let w be p(42). Let u = -322 - w. Calculate the least common multiple of u and 1.
2
Let q = -8461 + 12048. What is the smallest common multiple of 3 and q?
10761
Let v be (-1 - -6) + -7 + 0. What is the common denominator of (2/28)/(v/(-134)*-2) and -127/36?
252
Let c = -2056 - -3874. Calculate the common denominator of c/(-12)*(-4)/(-636) and 31/10.
530
Suppose -3*c - 39 = -138. Suppose 57*n = -271374 + 282147. Calculate the lowest common multiple of n and c.
2079
Let x = 42 + 130. Calculate the common denominator of 65/56 and 9 + -14 + x/(-16).
56
What is the common denominator of 2710/(-252)*616/2112 + 3 and -31/96?
864
Suppose -14959 - 593 = -288*x. What is the least common multiple of 948 and x?
8532
Let p = 211 + -200. Find the common denominator of 48/7 and (6 - 1966/198) + (-2)/p.
63
Let k = 1050421/28 + -37519. Calculate the common denominator of k and 79/1890.
3780
Let l = 24 + -14. Let h = 2016 - 1210. Find the common denominator of -43/12 and l/35 - (-1 - h/(-28)).
12
Suppose 0 = 14*p + 15 - 239. Suppose 0 = -p*w + 64. Calculate the least common multiple of w and (-2 + 1)*-11 + -1.
20
Suppose -544 = -2*u - 4*r, -4*r = -u + 145 + 157. Calculate the least common multiple of 15 and u.
1410
Let r = -1201 - -32428/27. Calculate the common denominator of r and -53/74.
1998
Suppose 2890 + 620 = 977*d + 579. Suppose a = g + 3*g + 20, -3*a - 2*g = 10. Suppose a = 3*t - 8*t + 155. Calculate the smallest common multiple of d and t.
93
Let v(g) = 69*g - 9219. Calculate the smallest common multiple of v(135) and 992.
2976
Suppose 2*d + g = 140, 3*g + 186 = 4*d - 94. What is the least common multiple of (-56)/(-4)*(4 - 3) and d?
70
Let f(d) = -d**3 - 10*d**2 + 12*d + 6. Let u be f(-11). Calculate the common denominator of (-221 - -225) + (65/(-6))/5 and -58*(15/(-12))/u.
6
Find the common denominator of 28/9 and 2790/1296 + 6/(-4).
72
Let i(l) = -9*l + 19. Let s be i(-11). What is the common denominator of 157/30 and (s/9)/((-80)/(-6))?
60
Suppose 0 = 18*t - 770 - 112. What is the least common multiple of 21 and -16*(21/t)/(2/(-7))?
168
Let i(h) be the third derivative of -7*h**6/24 + h**5/20 + h**4/3 + h**3 - 15*h**2. Calculate the least common multiple of 24 and i(-1).
72
Let k = 321115733/780 + -411687. Calculate the common denominator of 1/11 and k.
8580
Let k(t) = -5*t + 28. Let g be k(8). Find the common denominator of (-84)/27 - -3*g/(-9) and 1/263.
2367
Suppose 0 = 15*b - 104 - 136. Find the common denominator of (-3 - (-60)/b)/((-576)/564) and 11/24.
192
Let h = -585010702543/281577149 - -2291664/1103. Let r = h - 32789866885/11080303332. Let l = r + -2/3617. What is the common denominator of -101/2 and l?
