 -22 - (-6 - 6) - -25?
15
Let h = 6127/8 + -3029/4. Calculate the common denominator of (-16)/(-84)*45 - 2 and h.
56
Let g = 1 + -13. Suppose 2*m - 1 - 19 = -4*a, 48 = 3*m - 3*a. What is the lowest common multiple of (-4)/(-3)*(162/g)/(-3) and m?
42
Let k = -104/27883 + -1956465421/278830. Let b = -7011 - k. What is the common denominator of -33/7 and b?
70
Let j(m) = m**2 - 25*m + 117. Let d be j(19). Suppose -2*z = 4*u - 180, d*z - 332 = -z - u. What is the lowest common multiple of z and 8?
328
Suppose -5*g = 2*x - 0*g + 2, 0 = 4*x - 3*g - 22. Suppose -5*o + 3*i = 8, -2*o - 746 + 774 = 4*i. Calculate the smallest common multiple of o and x.
4
Let p = 1/21464 + 1599059/193176. Let i(s) = -s**3 - 13*s**2 - 2*s - 11. Let c be i(-13). Calculate the common denominator of p and (218/8)/(c/2).
90
Let w be (-60)/25 - (-4)/10. Let c = 19105/6 - 3191. Find the common denominator of c and (w/81)/(3/36).
54
What is the smallest common multiple of 2/(-3) - (-700)/105 and 90?
90
Let j(k) = 6*k. Suppose -6*a = -2*a - 264. Suppose a*s = 48*s + 180. Calculate the smallest common multiple of s and j(2).
60
Let b = -209 + 274. What is the common denominator of (2*129/(-30))/((-104)/b) and 49/8?
8
Let m(h) = 6*h**2 - 96*h + 546. Calculate the lowest common multiple of 119 and m(7).
2856
Suppose 0 = 14*b + 197 + 69. Find the common denominator of 145/42 and -3*28/66*b/38.
462
Suppose 0 = -s - m + 2*m + 3, -3*s + 4*m + 6 = 0. Suppose -25*z + 5*t = -27*z + 219, 5*z - 585 = -5*t. What is the lowest common multiple of z and s?
366
Calculate the common denominator of ((14/24)/7)/(90/4698) and ((-181)/(-12))/((-30)/(-4)).
180
Let t = 2308 - 4318. Let g = 42411 - 399758/9. Let p = g - t. Calculate the common denominator of -149/18 and p.
18
Suppose 5*m = -3*s - s + 39293, 0 = -2*s - 6. Let o = -133598/17 + m. Find the common denominator of -95/4 and o.
68
Suppose 109*t + 32*t = t + 92400. What is the smallest common multiple of 1080 and t?
11880
Find the common denominator of 69/6374 and (-1)/(-2) - (-481)/(-65).
31870
Let q(t) = 4*t - 7. Let i be q(3). Let z be i/(5/39) + 0. Suppose 5*x - 4*s = z, s - 6*s = 3*x - 53. What is the least common multiple of 4 and x?
44
Calculate the common denominator of ((-4)/42)/(-14*270/(-22491)) and 107/8*(-2)/(-20).
240
Let o(m) = -m + m**2 + 8 - 5*m - m. Suppose -12 = -20*u + 168. Calculate the least common multiple of o(6) and u.
18
Let l = -57 + 103. Calculate the smallest common multiple of l and ((-54)/(-45))/((-42)/(-490)).
322
Let h = 11582975/234 - 49500. Calculate the common denominator of h and -99/26.
234
Find the common denominator of (103/96 + 0)*(-1598 + 1600) and 55/116.
1392
Suppose -u + x + 131 = 0, -u - 496 = -5*u - 3*x. Let m = u + -85. What is the least common multiple of m and 18?
126
Find the common denominator of 2/11 and (-30)/75*(-204)/(-19968).
45760
Calculate the least common multiple of 266 and (7 - 0)*(-852)/(-994).
798
Calculate the common denominator of (-7)/14770*5*102/4 and -17/2.
844
Suppose 19972*b = 19998*b - 156000. What is the lowest common multiple of b and 600?
6000
Suppose 5*b - 3*j = -11, -j + 11 = -b + 4*j. What is the least common multiple of 20 and (7 - 198/27)*66/b?
220
Calculate the smallest common multiple of 3/(4 + -13) + 8405/15 and 14.
560
Let l = 379/9 + -42. Suppose 32*o = 38*o + 1170. Let i = -193 - o. Find the common denominator of i and l.
9
Let y = -1672282 + 3822836729/2286. What is the common denominator of -121/54 and y?
6858
Let c = 44/9327 + -1017940333/186540. Suppose 0 = -2*p + 4*a - 10908, -3*a - 21805 = 4*p - 0*a. Let t = p - c. What is the common denominator of -47/32 and t?
160
Let q = 3336 - 6399. Let a = q + 30527/10. What is the common denominator of a and 26/153?
1530
Let z = 28198 - 1184405/42. Calculate the common denominator of 95/198 and z.
1386
Let h(y) = -y**3 + 2*y**2 + 29*y - 73. Calculate the least common multiple of h(3) and 48.
240
Let u(b) = 4*b + 18. Let q be u(-2). Suppose 2*n = 6*n - 16, 2*o - q = -n. Calculate the least common multiple of o and 8/(-10)*(-15)/2.
6
Let t = -321017/17854790 + -84/38315. Calculate the common denominator of t and 71/4660.
4660
Let w = 1426/3 + -339397/714. Let y = w + -209/952. What is the common denominator of 39/56 and y?
56
Let q = 419 - 416. Suppose 0 = -5*d + q*g + 285, d = 3*d + 5*g - 83. What is the smallest common multiple of 18 and d?
54
Suppose -420 - 3497 = -3*m - 4*c, -11*m - 5*c + 14285 = 0. Calculate the lowest common multiple of m and 5180.
5180
Suppose 81 = 128*w - 119*w. Suppose -5*g + 3*d = -25, -5*d + w = -3*g + g. What is the smallest common multiple of g and 84?
168
Let u(k) = 8*k**2 + 54*k + 126. What is the lowest common multiple of u(-6) and 135?
270
Let x = -41 + 63. Calculate the smallest common multiple of (-1170)/(-75) - (-56)/(-35) and x.
154
Let i = -17 - -32. Suppose -2*z + 5*j + 11 = 0, 38*z - 43*z = j - 14. What is the smallest common multiple of z and i?
15
Let k be -3 - ((-2)/6)/((-13)/(-351)). Find the common denominator of (k/(-20))/(132/15) and -71/6.
264
Let i = -15 - -27. Suppose -58*p - 97 = -59*p + m, 4*p = -2*m + 382. Calculate the smallest common multiple of p and i.
96
What is the least common multiple of 4 and (-13712)/6*1335/(-890)?
3428
Find the common denominator of (-41)/574*(-1526)/40 and -81/40.
40
Let t(a) = -a**3 - 2*a**2 + a - 3. Let x be t(-3). Suppose -4*j + 8 = 0, 2*w + x*j + 0*j = -210. Calculate the common denominator of 31/2 and 6/(-27) + 1083/w.
4
Let t = 43275/874 - 6/437. Let z = -6/247 - 1061/7163. Let n = z - -1673/116. What is the common denominator of t and n?
4
Let i = -532409/929190 - -147/3295. Find the common denominator of i and -53/470.
1410
Let q be 16/(-6)*-118*(-9)/15. Let k = -5747/30 - q. What is the common denominator of 53/10 and k?
30
Let k(z) = 2*z**2 + 11*z + 20. Let t be k(-8). Suppose 2*a = t - 28. What is the smallest common multiple of a and (0 + (-1)/2)*-40?
80
Let n = 207 - 139. Let h be (n/(-5) - 2) + (-4)/10. What is the common denominator of -62/65 and (198/15)/(h/15)?
520
Let k be -8 + (-216)/(-28) - 212/(-7). Suppose 0 = -4*t - 4*x + 3*x + 1023, 2*x + 2 = 0. Find the common denominator of (k/t)/((-6)/120) and 71/14.
224
Let m be 1710/(-4)*(-224)/35. Let x = m - 1256. What is the least common multiple of 14 and x?
10360
Suppose -2*w - 4*d + 10 = 0, -2 = -w - d - 1. What is the common denominator of -62/3 and (-693)/135 + w + (-39)/(-15)?
15
Let b be 0/(4 + -2) - (-393533)/(-70). Let i = b - -5627. What is the common denominator of (98/(-6))/((-1)/(-3)) and i?
10
Let m = -72749/11844 + -1/1692. Let a be (6645/(-45))/(2/12). Let q = 7063/8 + a. What is the common denominator of q and m?
56
Let i(d) be the first derivative of -d**3/3 + 17*d**2/2 - 18*d + 52. Calculate the lowest common multiple of 44 and i(11).
528
Let i be 4/(-18) + (-1756)/36. Let d = i - -59. What is the smallest common multiple of d and (-3 - 12/(-6))/(2/(-4))?
10
Let r(u) = u**3 + 9*u**2 - 4*u - 57. Let z be r(-9). Let q(t) = t**3 + 21*t**2 - 3*t - 49. What is the lowest common multiple of q(z) and 5?
70
Suppose -14 - 82 = 16*n. Find the common denominator of 41/321 and 36/(-25)*40/n.
1605
Let v = 12036 - 9652. What is the lowest common multiple of v and 2?
2384
Suppose -26*h - 2293 + 10693 = -h. What is the least common multiple of 224 and h?
672
Suppose 177 = 5*j - 618. Let i = -137 + j. Let o(y) = -y**3 - 9*y**2 - 9*y. What is the smallest common multiple of i and o(-8)?
88
Let h(m) = m**2 - 25*m - 8. Let j be h(8). What is the common denominator of (12/(-18))/(j/(-236)) and -107/18?
54
Let x be (-4)/112*-12 + (-794)/(-434). Let d = 5741/744 - x. Find the common denominator of d and (2/4)/((-10)/(-66)).
120
Let u(a) = -a**3 - 3*a**2 - 2*a - 3. Suppose 0*w + 140 = 20*w. Calculate the smallest common multiple of w + (-2)/((-16)/88) and u(-3).
18
Suppose 1177 = -2*d + 209. What is the common denominator of (16/128)/(2/(-65)) and (d/6)/(-3 + 7)?
48
Suppose 6*a - 462 = 4*l, -10*l + 13*l = 2*a - 164. Suppose -2*r + f = -19, -4 = -r - 2*f - 3*f. Calculate the smallest common multiple of a and r.
657
Let v = 376801/24 + -15697. Find the common denominator of 101/1182 and v.
4728
Let x = 37467/318890 + 2/2899. Calculate the common denominator of 5/38 and x.
