on multiple of a and d.
354
Let t(j) = -j**3 - 17*j**2 - 11*j + 31. Let m be t(-16). Let g = -5 + -23. What is the common denominator of -19/14 and ((-76)/g)/((-6)/m) - 4?
42
Let v(n) = -n**3 + 115*n**2 + 603*n - 353. Calculate the smallest common multiple of v(120) and 139.
973
Let m = -108448832935/5502 + 19710802. Let x = m - -1/1572. What is the common denominator of -73/9 and x?
252
Suppose 5*v = 5*r + 685, 4*v - 283 = 5*r + 268. What is the smallest common multiple of 5 and v?
670
Suppose 4*d + 28 = 3*d. Let c = -25 - d. Suppose 6 = -3*f + 6*f + 4*u, -f + c*u + 2 = 0. Calculate the lowest common multiple of f and 3.
6
Suppose -f - l + 18 = -6*f, 4*f + 3 = -3*l. Let q(b) = b**3 + 2*b**2 + b - 7. Let t be q(f). Let k = t + 21. Calculate the smallest common multiple of k and 10.
10
Suppose -5*z - 2*q + 188 = 2*q, -z + 5*q = -55. Suppose -10*j + 12*j = z. Let r = 166 - 140. Calculate the lowest common multiple of r and j.
260
Let z(w) = 44*w + 56. What is the least common multiple of 312 and z(1)?
7800
Suppose 0 = -4*i + 3*i - 10849. Let f = i - -227875/21. Calculate the common denominator of f and 271/12 + 4/6.
84
Suppose -13*y = -456 - 64. Calculate the lowest common multiple of (-3)/9 + 604*(-1)/(-12) and y.
200
Let u(f) = f + 4. Let n(c) = c - 3. Let o be n(-3). Let p be u(o). Find the common denominator of 59/9 and (348/(-165) - p)/((-3)/10).
99
Let f = 27014 - 1296583/48. Calculate the common denominator of 436/(-12)*9/(-252) and f.
336
Let r = 2367/8 - 83213/280. What is the common denominator of r and 4/21?
105
Let a = -8866 + 8996. What is the least common multiple of 130 and a?
130
Let v be (-69)/(2 + 908/(-452)). Let b = v + -218387/28. Calculate the common denominator of -127/84 and b.
84
Suppose -45*w = -34*w - 220. Calculate the lowest common multiple of 1264 and w/7*35/10.
6320
Suppose -7*g - 70 = -2*h - 5*g, -80 = -3*h - 2*g. What is the lowest common multiple of 690 and h?
690
Let n = -518473067/2574 - -201427. What is the common denominator of -85/12 and n?
5148
Suppose -7*m + 5*m = 0. Suppose -2*b + 5*b - 186 = m. Suppose 7*n - 2*n + 2*w = 344, -n + 3*w = -b. What is the least common multiple of n and 12?
204
Suppose c - 2*s = -2*c + 39, -2*c - 5*s = -26. Suppose c - 10 = v. Suppose 2 + 26 = 7*x. Calculate the lowest common multiple of v and x.
12
Let m = -1962451/36 + 54516. Calculate the common denominator of -10/63 and m.
252
Let w be (6/4*-1)/(15/(-20)). Suppose 8*q = -w*q + 790. What is the common denominator of -53/8 and ((-141)/(-27) + -5)*q/(-4)?
72
Let z = 251047546/5073 + -49487. Let y = z + -153806/76095. What is the common denominator of y and -157/60?
180
Let z(y) = -y**3 - 8*y**2 - 17*y + 14. Calculate the smallest common multiple of z(-5) and 184.
552
Let z = 238 + -162. Suppose 3 = -x, -21*n + 25*n - 2*x + 278 = 0. Let b = z + n. What is the least common multiple of 20 and b?
20
Let c = 47384 - 57855832/1221. Find the common denominator of -28/2553 and c.
28083
Suppose -44*u + 40*u = 24. Let b be -48*(33/u + 5). Calculate the common denominator of 63/44 and 4/((-168)/(-165)) + b/(-12).
308
Let w = -52387/48450 - 44/969. Calculate the common denominator of w and -2/63.
3150
Let w = -17518 + 525599/30. Find the common denominator of -61/210 and w.
210
Calculate the common denominator of 47/9084 and (20/(-60)*(10 - 5))/(6/(-7)).
27252
Let q(a) = a**3 - 7*a**2 - 18*a + 3. Let z be q(9). Suppose -2*c - 43 = -3*k, -z*k - 10*c + 9*c + 55 = 0. What is the lowest common multiple of k and 1?
17
Let k = 113330311/646 + -15511053/68. Let l = k + 52669. What is the common denominator of l and 19/4?
76
Suppose -5*u = -130 - 545. Let w = -134 + u. Calculate the least common multiple of w and 35.
35
Suppose 9*x + 16*x = 1626 + 10149. Calculate the smallest common multiple of 628 and x.
1884
Suppose 61*x - 113*x = -102468 + 7620. What is the smallest common multiple of x and 90?
27360
Let b = 2013021 - 3865000441/1920. What is the common denominator of b and 91/320?
1920
Let l(i) = i**2 - 7*i - 17. Suppose 3*p + 5*s - 58 = 0, s - 1 - 19 = -p. Suppose -3 = -3*x + p. Calculate the smallest common multiple of x and l(9).
8
Let t be 3 + -1 + (-16 - -1 - 3). Let s be -14*(-12)/32 + 4/t. Suppose 0 = s*o - 6*o + 74. What is the lowest common multiple of o and 20?
740
Suppose -5*h + 4*f = -33, h + 18 = 4*h - 3*f. Find the common denominator of -1 - (-2 + 218/32) and (h/(-10))/((-192)/880).
16
Let c = 172/15 - 829/105. Calculate the common denominator of (5626/232 + -25)/((-14)/(-88)) and c.
7
Let y(o) = -o**3 - 14*o**2 - 12*o + 24. Let g be y(-13). Find the common denominator of g/2*28/630 and (-294)/(-75)*(-10)/(-24).
90
Suppose -12*z + 4*m + 18264 = -14*z, z + 9132 = 5*m. Let g = z - -182741/20. Find the common denominator of -73/60 and g.
60
Let j = 166563 + -56631481/340. Calculate the common denominator of j and -71/680.
680
Let g(t) = -60*t**3 - 2*t - 2. Let o be g(-1). Suppose 0 = -12*f - 36 + o. What is the lowest common multiple of 302 and f?
302
Let t(z) = -z**3 + 21*z**2 + 73*z + 163. Calculate the least common multiple of t(23) and 336.
2352
Let y = 33328 - 33293. Suppose 0 = q + 4*q - 275. What is the lowest common multiple of y and q?
385
Calculate the common denominator of 7/((-42)/12) + 85/24 - 0 and -43/192.
192
Calculate the lowest common multiple of 648 and (-20)/(-3)*((-167)/(-38) - 20/(-190)).
3240
Suppose -303 = -9*j - 2*h, -8*j + 3*h = -4*j - 158. Calculate the lowest common multiple of 70 and j.
70
Let g be 1*(-25)/100*60/(-1). Calculate the common denominator of 545/(-25)*(-10)/44 and (27419/(-4830) - -5) + 2/g.
506
Let m = 73 - -88. Let t = m - 152. Calculate the smallest common multiple of t and 22.
198
What is the common denominator of 179/1380 and -4*3/18 + ((-39157)/(-6900) - 5)?
6900
Suppose -3*d = -0 - 3, b + 3*d - 569 = 0. Let l = -398 + b. What is the smallest common multiple of 10 and l?
840
Let n(j) = -27*j**3 + j**2 - 2*j + 2. Let v be n(1). Let h be (1 - v/(-10))/(-502). Let u = h + 12418/41415. Calculate the common denominator of u and 29.
33
Let i = -2671/23 + 117. Find the common denominator of i and (45/(-4))/(4/8).
46
Let d be 87/(-42)*(-161860)/(-40). Let h = 8385 + d. Find the common denominator of h and 57/28.
28
Let i be 1*(-22)/136*-59746*-1. Let x = i - -9667. Calculate the common denominator of x and 57/170.
170
Suppose 3*h = -84*h - 0*h + 55680. Calculate the smallest common multiple of 1280 and h.
1280
Let h(g) = -g**3 + 20*g**2 + 36*g - 445. Calculate the least common multiple of 25 and h(19).
600
Calculate the common denominator of 70/3 and ((100/150)/((-5916)/9))/((-3)/158).
1479
Let t be -5 - (1 - -2)/(-1). Let b = -5/586 - 26335/4102. Calculate the common denominator of 188/30*(-1)/t and b.
105
Suppose 37*p + 50 - 346 = 0. Let u(j) = j + 25. Let c be u(-20). Suppose -c*h - x + 14 - 6 = 0, 2*h = 3*x + 10. What is the smallest common multiple of p and h?
8
Let i(a) = -21*a + 17. Let j be i(-28). Calculate the common denominator of 858/j*(-1 - (-39)/24) and 5/16.
176
Let k be (-4)/(-18) + 7736/18. Let g = 1689/4 - k. Find the common denominator of (-138)/(-10)*3/6 and g.
20
Let x = 506/463 - 249891/212980. What is the common denominator of -99/2 and x?
460
Suppose 4*m + 52*p = 49*p - 8, 0 = -3*p - 12. What is the smallest common multiple of 870 and m?
870
Find the common denominator of -92/285 and ((-92)/(-50))/((-5 + (-204)/(-40))*-18).
855
Suppose -3*i - 4*y = 5, 2*i - y = i - 4. Let z be i + (-2)/(-13) + (-48955)/65. Find the common denominator of 4/(-14) + 428/z and -17/30.
270
Let a = -5493353/90 - -61038. Calculate the common denominator of -1/54 and a.
270
Let a = -12/58093 + 184213059/755209. Let k = -284753/1170 + a. Find the common denominator of 5/9 and k.
90
Let w = -265 - -331. Find the common denominator of w/21 - (-3)/4 and -75/56.
56
Suppose -7*h - 24*h = -2*h. Suppose 8*m + 4*m - 300 = h. What is the least common multiple of m and 6?
150
Let y = 53 + -161/3. Let s be (-1544)/5 + 20/25. Find the common denominator of (0 - 1340/s) + -5 and y.
231
Suppose -11*s + 30 = 8. Suppose -3*q + 26 = s. Suppose 2*n = -4*i - 8, -2*n + q = -2*i - 14. Calculate the lowest common multiple of 7 and n.
42
What is the common denominator of (-9399)/(-861) + (38 - 49) and -57/82