2. Let y(t) = -2*t + 4. Let l be y(-3). Let n = l - 6. Calculate the least common multiple of n and w.
20
Let s(r) = r**2 - 13*r + 12. Let k be s(5). Let h = -1765/2 + 917. Calculate the common denominator of (-39)/(-52) + (-205)/k and h.
14
Let w(f) = -4*f + 5. Suppose -r + 2*r + 4*p = -44, 2*r - p + 70 = 0. Let l = -34 - r. What is the smallest common multiple of w(1) and l?
2
Suppose 17*p - 418 - 521 - 251 = 0. Calculate the smallest common multiple of p and 100.
700
Suppose 196*r = 200*r - 648. Calculate the smallest common multiple of r and 9.
162
Suppose 90745 = -20*f - 141795. Let r = -116147/10 - f. Find the common denominator of r and (-6)/(-15) + 33/(-40).
40
Let t(r) = -4*r - 20. Let j(m) = -9*m**2 - 3*m - 2. Suppose 9*b = 6*b - 3. Let i be j(b). Calculate the least common multiple of t(i) and 48.
48
Suppose 26*u = 18*u + 144. Suppose 0 = -2*d - 20 + u. What is the common denominator of -137/30 and (-7 + 698/100)/(d/(-12))?
150
Let s = 23 - 20. Let c = 2897/166 - -4/83. Find the common denominator of (-1690)/(-420) - (-1)/s and c.
14
Let a(v) = -v**3 - 4*v**2 - 2*v. What is the least common multiple of a(-4) and -4*(-31)/(-6)*(4 - 7)?
248
Suppose -3*z = -394*s + 395*s - 1417, s = 4*z + 1389. What is the least common multiple of s and 1124?
5620
What is the common denominator of -29/6 and 2/12*280/2012?
3018
Find the common denominator of 3 + 158/104 - 3 and ((-4)/((-16)/(-132)))/(-7).
364
Let d = -207050047/261855 - 1307/23276. Let c = d - -3161/4. Let y = c - -818/45. What is the common denominator of -43/11 and y?
33
Let l = 11130539/787 - 14143. Let k = l + -5493/6296. Let j = -355/3 + 587/6. Calculate the common denominator of j and k.
8
Let g(q) be the first derivative of q**2 - 12*q - 64. What is the smallest common multiple of 28 and g(10)?
56
What is the least common multiple of 402*(264/128 - 3/48) and 15?
4020
Let o be 9 + 6 - (2 + 2). Let d(k) = -2*k + 30. Let w be d(o). Let f(i) = 4*i + 13. Find the common denominator of f(w) and -119/6.
6
Suppose 0 = -4*r - 90 + 2. Let q be (-2)/2*-1 - (-27 - r). Suppose q*l - 49 = -1. Calculate the least common multiple of l and 20.
40
Calculate the common denominator of (80/1600)/((-12)/2530) - (9 - 15) and 1/(-1) - (-277)/168.
168
Let t be ((-1)/124)/((-2211)/264). Let r = t - 103856/6231. Calculate the common denominator of 103/54 and r.
54
Let y = -12 + 66. Suppose -84*j = -61*j - 322. Calculate the smallest common multiple of j and y.
378
Let m(z) = z**2 - 12*z - 167. What is the lowest common multiple of m(-9) and 4528?
49808
Calculate the smallest common multiple of 65/3 - (-5 + (-17)/(510/(-140))) and 1682.
18502
Let t = -32646755/5252 + 80806/13. Find the common denominator of -7/4 and t.
404
Let h = -22038 - -22269. Calculate the smallest common multiple of 1050 and h.
11550
Let v be ((-66)/(-18))/((-1)/12). Let a = -211 - -181. Let x = a - v. What is the smallest common multiple of x and 18?
126
Suppose 0 = -4*q - 24, 0 = 2*h - 40*q + 43*q - 26. What is the least common multiple of h and 1934?
21274
Suppose 5*r - l = -304, 5*r + 56 = 4*r - l. Find the common denominator of (-319)/r + (-3)/(-5) and 151/24.
24
Let n = 10381/1755 + -228/65. Suppose 0 = -5*c + 10 + 10. What is the common denominator of n and (-2)/(-9) + c/72*-358?
27
Let x = 87209/66 + -3959/3. Suppose 19893 - 3261 = 33*g. Find the common denominator of x and g/588*(-14)/(-64).
176
What is the common denominator of (-5 - 1) + (-84733)/(-14388) and (98 - 99)*(-54)/20?
6540
Let l be (-16)/12*(-3)/(-2538). Let s = l - -25807/2538. Calculate the common denominator of s and 101/42.
42
Suppose -4*c + 267 = -3*i, 0 = -4*i + 6 - 10. Suppose 2*z = 13*z - 528. Calculate the least common multiple of c and z.
528
Let s be (-2 + (-44)/6)*3/(-2). What is the smallest common multiple of 1/3*((s - 7) + 110) and 13?
39
Let u = -203093/1731160 - -11/4520. Calculate the common denominator of u and 37/1915.
1915
Let d = -4645/16 + 2708491/9328. What is the common denominator of d and -133/318?
3498
Let g = 1220 + -698. What is the smallest common multiple of 116 and g?
1044
Let p = 4 - 3. Suppose -i + 5*i - 3*q = 51, 29 = 2*i - 5*q. Suppose 2*x = 12*z - 13*z + i, -5*z + 3*x = 5. What is the lowest common multiple of z and p?
2
Suppose 78*p - 31 + 3 - 128 = 0. Let f = -3 - -5. Suppose -3*b + 155 = -f*u, -2*b + 3*b - 2*u = 53. Calculate the lowest common multiple of b and p.
102
Let a(n) = -3*n**2 + 23*n + 20. Let k(u) = u**2 - 5*u - 1. Let v(j) = a(j) + 2*k(j). Suppose -13 = -l + 1. Calculate the least common multiple of v(l) and 32.
32
Suppose 18*n = -23 + 311. What is the least common multiple of 144 and n?
144
Let d = -68 + 62. Let c(y) = 29*y + 152. Let a(l) = -10*l - 51. Let b(q) = d*c(q) - 17*a(q). What is the lowest common multiple of b(-13) and 24?
168
Find the common denominator of (18 + 1)/((-180)/20 + 2) and 167/3894.
27258
Suppose -72 = -5*p - 3*n, 0 = -4*p + 210*n - 207*n + 63. Calculate the smallest common multiple of p and 366.
1830
Let u(j) = j**2 + 6*j - 29. Let x be u(7). Calculate the common denominator of 1*(-3 + x/20) and ((-412)/(-54))/((-8)/6).
90
Suppose 4*u - 1159 = 1809. Let c = 636 + -620. What is the least common multiple of c and u?
5936
Let n be -5*(6/(-2) - (-94)/10). Let w = 33 + n. What is the common denominator of w/4 + (-239)/(-12) and -57/2?
6
Suppose -25*h + 109 - 9 = 0. Suppose -66 = -4*r + r + 3*d, 0 = -r - h*d + 37. What is the lowest common multiple of 1 and r?
25
Let y = 332 + -164. Suppose 20*j - y = 16*j. Calculate the least common multiple of 54 and j.
378
Let t = -11/509 - -59993/20360. Let x = 3074 - 86091/28. Calculate the common denominator of x and t.
280
Let o(b) = -b**2 - 12*b - 25. Calculate the lowest common multiple of o(-5) and 112.
560
Let o = -155 + 180. What is the lowest common multiple of 10 and (-36 - 0)*o/(-75)?
60
Let r = 716674 - 2107021601/2940. What is the common denominator of 40/3 and r?
2940
Calculate the common denominator of 72/(-336) + (-5578)/(-23940) and 8/171.
855
What is the lowest common multiple of 37 + (-3)/1 + 4 and (-12)/(-3) + 7 + 21?
608
Calculate the least common multiple of 93 and (-38766)/(-208) + (-12)/32.
186
Find the common denominator of 47/8 and ((-28)/(-876))/7*(-1992)/(-48).
1752
Let u = -10 - -15. Let n(a) = 2*a**3 + 2*a**2 - 2*a + 1. Let q be n(-2). Find the common denominator of u and (-873)/(-12)*((-7)/q)/(-7).
4
Suppose -10*r + 7476 = 4*r. Suppose 409 = -5*f + r. What is the least common multiple of f and 50?
50
Let w = 78 - -579. What is the common denominator of -69/20 and w/112 - 3/7?
80
Let j = -255772538/5793 + 44152. Let x = j - -480827/23172. Let b = 1401 - 9826/7. What is the common denominator of x and b?
28
Let h = 3969 - 3873. Calculate the smallest common multiple of 372 and h.
2976
Let g = 192 - 69. Suppose 2*z - z + g = 3*q, -3*q + 2*z + 126 = 0. Suppose 32*p + 286 = 291 + 635. Calculate the smallest common multiple of q and p.
40
Let p = -2995 + 3039. Calculate the lowest common multiple of p and 16.
176
Suppose 0 = -5*f - 5*f + 5*f. Suppose -11*m + 2*k - 61 = -14*m, 3*m - 5*k - 26 = f. What is the least common multiple of m and 7?
119
Suppose -135*c - 155*c = -266*c - 144. Let r(l) = l**2 - 15*l + 17. What is the lowest common multiple of c and r(14)?
6
Let k = 3 - 3. Suppose k = -7*a - 2 - 5. Find the common denominator of a + 1 - (-1281)/105 and -13/2.
10
Let p = 5193 - 5147. What is the smallest common multiple of 5 and p?
230
Suppose -3*p + 24 = 42, -5*k - 3*p + 42 = 0. What is the lowest common multiple of k and 48288?
48288
Let g(j) = j**3 + 12*j**2 + 13*j - 8. Let u be g(-11). Let m = u - -34. Calculate the smallest common multiple of m and 1/((-6)/((-24)/10) + -2).
4
Calculate the smallest common multiple of 10 and 76932508/5157 + (2 - (-56)/(-27)).
74590
Find the common denominator of ((-111161)/11241)/(4852/(-6)*-1) and -7/15.
36390
Let a(c) = 7*c + 81. Let d be a(-11). Suppose -l + 3*l + 36 = 5*w, 0 = d*l - 8. Calculate the least common multiple of w and (-135)/(-3) + (-1 - 0).
88
Let p be -9 + 10 - ((-530)/476 + 2). Let r = p - 6488/1071. Calculate the common denominator of 59/9 and r.
18
Let i = 15536207467/6560 - 11841651/5. Let d = -312/41 - i. What is the common denominator of d and 11/8?
32
Let b =