) = -y**3 - 20*y**2 + 20*y - 19. Let j be n(-21). Suppose 3*q + j*d = 40, -31 + 1 = -3*q + 3*d. What is the smallest common multiple of 48 and q?
48
Find the common denominator of ((-3)/(-56))/((-1530)/10680) and -11/70.
1190
Let k be (-2)/(2/4*(-12)/30). What is the common denominator of 45/62 and 582/720 + k/25?
744
Suppose 5 = -q + 8. Suppose -5*h = -q*h - 16. Suppose 2 = 2*f - h. What is the lowest common multiple of 6 and f?
30
Suppose 3*j - 4*k = 148, -3*j + 4*k = -2*j - 60. What is the lowest common multiple of -18*((-4)/42 + 833/(-2058)) and j?
396
Let n(z) = 1521*z - 14502. Let y = -9 - -19. Calculate the smallest common multiple of n(10) and y.
3540
Let c = -5034 + 5069. What is the common denominator of 88/765 and c?
765
Let j = -193 + 1560. Find the common denominator of -83/40 and -4*1/26 + j/182.
280
Let l = 822 - 694. Suppose 5*y - 204 = -2*x, 3*x = -3*y - x + l. Calculate the least common multiple of y and 92.
920
Let d be 2229/2203 - (3 + -2). Let b = 144131/79308 - d. Calculate the common denominator of b and -113/20.
180
Let z(k) = k - 28. Let a = -191 - -224. Calculate the smallest common multiple of z(a) and 20.
20
Suppose 93*a - 210997 - 67445 = 0. What is the lowest common multiple of a and 998?
2994
Let n = 13 - 2. Suppose 72*l - 75*l + 84 = 0. Let b(o) = o**3 - 27*o**2 - 26*o - 54. Calculate the lowest common multiple of n and b(l).
22
Let l = 11385 + -9079. Calculate the smallest common multiple of 11 and l.
25366
Suppose -2*x = -0*x + 22. Calculate the common denominator of x and 4*(-92)/399 + (3219/259)/(-29).
57
Let t = 30 + -10. Let a(x) = x**2 + 2102*x - 14753. Calculate the least common multiple of a(7) and t.
20
Calculate the least common multiple of ((-55)/10 + 0)/(14/1176*-14) and 1 + (0 + 2 - -75).
858
Let n = 555805 - 293464939/528. What is the common denominator of -23/528 and n?
528
Calculate the smallest common multiple of 126 and -8*(-10)/520 - ((-1166)/26 + 3).
126
Let g(q) = q**3 - 21*q**2 - 21*q - 26. Let p be g(22). What is the least common multiple of 10 and (-6)/(p + -2)*278?
1390
Suppose 0 = 2*y + 5*n - 1, -18 = -5*y + 3*n. Calculate the smallest common multiple of 81 and y.
81
Suppose -4 = 2*i - 6, 5*h - 3*i = 47. Calculate the lowest common multiple of ((-6 - -31) + 3)/((-16)/(-20)) and h.
70
Let a = 209 - 56. Let k = a + -142. Calculate the least common multiple of 172/14 + 4/(-14) and k.
132
Let f(v) = 2117*v**3 - 2*v**2 - v + 1. Let n be f(-1). Let h = n + 25543/12. Find the common denominator of h and -69/20.
60
Let c be 4*(-1)/(-4) - (-2 - 0). Suppose 7 - 18 = p + 4*f, 1 = -c*p + 4*f. What is the smallest common multiple of 14 and (-13)/(-2) + p/(-2)?
56
Let u be (-1 + 1)/((-3 - -6)/(-3)). Suppose t - c = -u*c + 721, -723 = -t + 3*c. What is the common denominator of -7/24 and ((-15)/t)/((-2)/(-243))?
96
Let r = 207/4 + -903/20. Let k(h) = -2262*h + 16. Let a be k(3). Let c = -372314/55 - a. Calculate the common denominator of r and c.
55
Let g be 2 - 824 - (21 + -15). Let y = -567 + 6943/12. What is the common denominator of ((-36261)/g)/(-17)*4/18 and y?
276
Let r be 7/14 - 103984/22. Let p = -4727 - r. Let j = 2/4911 + 132553/108042. Calculate the common denominator of j and p.
22
Find the common denominator of 46/297 and ((-21)/(-14))/((-16)/136 - (-51078)/4998).
2970
Let z be (33/(-22))/((-1)/(-576)). Let b be (-14)/3*z/84. Calculate the smallest common multiple of 14*(b/(-28) + 2) and 5.
20
Let g(z) = -2 + z**2 + 27 - 16*z - 1 + 0*z**2. Let o be g(11). Let y = -44 - o. Calculate the common denominator of -45/14 and y.
14
Calculate the common denominator of 43/40 and (39/7904)/(18/(-35932)) + 10.
4560
What is the smallest common multiple of (-56)/((-720)/345 - 8/(-92)) and 2056?
14392
Calculate the common denominator of 109/48 and ((-1196)/832)/((-81)/(-2)).
1296
Let t = 819/2 + -406. What is the common denominator of t and ((-2)/(-68))/((-7)/(-406))?
34
Suppose 4*h + 6 = 10. Let c = -1219 + 4845/4. Calculate the common denominator of h/((1456/469)/(-8)) and c.
52
Let r be (-1083)/(-6) - (6 - (-22)/(-4)). Suppose -4*w + r = -444. What is the least common multiple of 2 and w?
156
What is the lowest common multiple of 14 and -3*65/(-39) + 107?
112
Let h(y) = 2*y**3 - y**2 - y. What is the smallest common multiple of h(2) and 20/(-6)*486/(-18)?
90
Let m = -4110 + 2667382/649. Calculate the common denominator of m and -4/1711.
18821
Let r = 3077104 + -17404100163/5656. Find the common denominator of r and 101/10.
28280
Let b = -23679/245 - 468/49. Let m = b + 958/9. Find the common denominator of -13/165 and m.
495
Let d(i) = -7*i + 68. Let x be d(9). Suppose 0 = -2*j + j - x, -5*j = -5*z + 350. Calculate the lowest common multiple of 10 and z.
130
Let f = 78 - 75. Suppose f*n - 228 = -5*v, -3*n - 2*v = -280 + 43. What is the smallest common multiple of 6 and n?
162
Let h be -1 - (-4)/(8/278790). Let s = 1498206713/10748 - h. Let j = s + -446045/32244. Find the common denominator of 43 and j.
6
Let k(n) = -n**2 - 14*n - 5. Let a be k(-14). Suppose 2*p + 19 = 7. What is the least common multiple of 44 and (-5)/(-30)*a*8*p?
440
Let o(g) = -10*g - 397. Let n be o(-40). Let s = 285/23 + -7351/506. Calculate the common denominator of s and (-1)/4 + (n - (-1256)/(-288)).
198
Suppose 0 = -2*c + 1513 - 12189. Let w be (-17)/c*25226/21. Let i = w + -10/157. Find the common denominator of i and -121/6.
42
Calculate the common denominator of 4208/(-480) + (-40)/(-4) and (188/18)/(16/3).
120
What is the smallest common multiple of 405 and (-166 + -4)/(-17) + 125?
405
Suppose 852*c + 132 = 854*c. Suppose i - 3*i + 8 = 0. What is the smallest common multiple of i and c?
132
Let x = -12618175 + 618250195/49. Let q = -824 - x. What is the common denominator of q and 45/28?
196
Let o = -3/529 - 72437/6348. Let p = 703 + -13374/19. What is the common denominator of p and o?
228
Let c = -1/293 + 37217/1758. What is the common denominator of c and -13/4?
12
Calculate the common denominator of 41/112 and -250*2/(-576)*(-8 + 2415/294).
672
Let o = 15/3656 + 308617/76776. What is the common denominator of o and 89/6648?
46536
Let d = 5 + -3. Suppose 4*x - 3*x - 4 = 0, s - d*x - 388 = 0. Find the common denominator of 7/16 and 1014/s - 1/3.
176
Let n be (5/(-315))/(16658422/(-9454392282)). Let k = 14/757201 + n. Let p = 86/11 - k. Calculate the common denominator of p and -23/21.
21
Let v = -889 + 1087. Calculate the smallest common multiple of 110 and v.
990
Let g = -123 + 48. Let m = 177235/102597 - 2/9327. Calculate the common denominator of 6/g*(-585)/4 and m.
110
Let o(p) = p**2 + 28*p + 19. Let c be o(-17). Calculate the common denominator of 59/56 and -89*7/c - -2.
168
Suppose 19900*f = 19910*f - 110. Calculate the smallest common multiple of 66 and f.
66
Let m be (-349858)/630 + (-52)/(-182). Let g = 2793/5 + m. Find the common denominator of -2/13 and g.
117
Let s = -2339 + 27973/12. Find the common denominator of 77/2316 and s.
2316
Let f(x) = -x**3 + 4*x**2 + 5*x - 3. Let m be f(3). Find the common denominator of 10/(-27)*m/2 and 136/(-6) - ((-2)/(-10))/(8/40).
9
Let h = -36859/9 + 4087. Let i = -120/31 + 541/372. Calculate the common denominator of i and h.
36
Let f(x) = 1 - 4*x + 1 - 11 + x**2. Let t(u) = 81*u + 411. Calculate the smallest common multiple of f(7) and t(-5).
12
Let c = -170 + 319/2. What is the common denominator of c and 27/(-4815)*(570/20 + 9)?
214
Let k = -45656/9 + 5069. Find the common denominator of (2/((-20)/(-334)))/6 and k.
90
Suppose 6*a = 4*a - 36. Let t be 17 + a + 1/(0 + 1). Suppose 0 = -4*j - 5*z + 106, t*j + 3*j - 4*z - 64 = 0. Calculate the least common multiple of j and 69.
552
Let t = 369837/8999347 + -40/6731. Calculate the common denominator of -33/1528 and t.
10696
Let a = 101437 - 101409. Suppose s = 3*s - 96. What is the lowest common multiple of a and s?
336
Let n be 3 - (6/(-8) - 236/(-16)). Let t(z) = z**3 + 13*z**2 + 13*z - 20. Let f be t(n). Let p = -61 + f. What is the lowest common multiple of p and 12?
36
Let j = -1/83784 + 33601/10473. What is the common denominator of (-66)/142 + 3/9 and j?
1704
Suppose 109*h - 104*h = 20. Let l(z) = -3*z + 8. Let q be l(2). Suppose -q*f + 36 = -0*m + 2*m, -12 = -3*m. What is the least common multiple of h and f?