t t(w) = 58 - 6*w - 23 + 53 + 86. What is the lowest common multiple of t(19) and 10?
60
Suppose f - p = -2 + 10, 5*f - 22 = -4*p. Calculate the least common multiple of f and 21.
42
Suppose 85 = 3*g - 4*l + 12, 2*l - 58 = -2*g. Let k = g - 24. Suppose 4*y = 4*z - 24, 8 = -0*z - 2*z - k*y. Calculate the smallest common multiple of 16 and z.
16
Let a(g) = 2*g + 29. Let r be a(-13). Suppose -r*l - 130 = -8*l. What is the smallest common multiple of 21 and l?
546
Let c be 12/(-530)*(-700)/(-14). Let z = c - -3628/583. Calculate the common denominator of 73/218 and z.
2398
What is the common denominator of 511/219 + (-52)/(-120) and -13/480?
480
What is the lowest common multiple of (-7 - -1)/2*(-119 - -82) and 111?
111
Suppose 1 + 19 = 2*m. Let h be (m/2 - 3) + (-554)/276. Let k = h - 145/92. Calculate the common denominator of 43/6 and k.
12
Find the common denominator of -145/984 and (-42)/30 + 10*114/738.
4920
Let v = 22 + -80. Let k be (0/(-3) - 48/(-60))*80. Let d = k + v. Calculate the lowest common multiple of d and 9.
18
What is the common denominator of 10 + -7 + 2 + (-633)/216 and 69/80?
720
Let g = 2305 - 1997. What is the least common multiple of 28 and g?
308
Let q be (6/4*1)/((-45)/1860). Let k = q - -64. Suppose 0 = z - 5, 5*r + k*z - 108 - 67 = 0. Calculate the smallest common multiple of r and 5.
165
Let b = -1/68718 - 887713/386263878. What is the common denominator of b and 49/438?
33726
Let v = 1248 + -14875/12. Calculate the common denominator of v and 151/828.
828
What is the common denominator of -43/7420 and (9 - 5) + -1 - (-22209)/(-7700)?
37100
Let r = 20308 - 4000687/197. Calculate the common denominator of r and (-166)/10*(-15)/18.
1182
Suppose -246 + 253 = -24*a + 1255. What is the lowest common multiple of 52 and a?
52
Let l = 34809 - 1461913/42. Let s = -14/159 + -2669/1590. Find the common denominator of l and s.
210
What is the common denominator of (-46926)/(-126720) - ((-6)/(-20) + 0) and -53/64?
128
Suppose 48*x - 46*x = -280. Find the common denominator of (11/(-8))/((-3)/28) and x/(-9)*(-22)/(-44).
18
Let g = -772570/63 + 12262. Find the common denominator of (15/(-22))/((-10521)/4008) and g.
693
Let i(d) = -39 + 12*d - 12 - 29 - 5*d. What is the smallest common multiple of i(16) and 8?
32
Let x be ((-2)/3)/((-269888)/(-68068) + -4). Let z = -30/149 + x. Calculate the common denominator of (-59*3/9)/(-1) and z.
6
Let w = 422027/4437960 - 71/744. Let t = w - 220681/71580. Find the common denominator of t and 107/12.
12
Find the common denominator of ((-417)/(-8))/((-1485)/220) and 47/350.
3150
Let u = -4097/13178 + -1732060567/158136. Let h = 10955 + u. Calculate the common denominator of 123/40 and h.
120
Let p = 1804 - 1280. Suppose 8 = -35*x + 33*x, -4*x = 5*g + 6. What is the smallest common multiple of g and p?
524
Suppose -5*j + 2*j = -2*d - 1013, 0 = -2*d - j - 1009. Let p = 391/48 - 85/12. Calculate the common denominator of d/(-32)*(-6)/(-15) and p.
16
Suppose 1751 = 2*f + 1743. Calculate the lowest common multiple of f + 2*55/40*4 and (-92)/(-4) + (-2)/(-2).
120
Let i = -1806612 - -531144965/294. Let t = 15/49 + i. Calculate the common denominator of t and -14/29.
174
Let d be (2*7 - 0)/(74 + -72). Suppose -2*i - 75 = -5*j - d*i, 5*j - 90 = -2*i. Calculate the least common multiple of j and 24.
120
Suppose 201*a = 240*a - 15990. What is the least common multiple of a and 246?
1230
Let j = 443 - 535. Let a = j + 192. What is the smallest common multiple of a and 60?
300
Suppose 0 = -9*g + 8*g + 2. Let r(z) = 0*z**2 + 0 + 9*z**g - 13 - z - 8*z**2. Calculate the smallest common multiple of r(-8) and 2.
118
Let m be (10 + (-104)/12)/(4/(-42)). Let c = 17 + 13. What is the least common multiple of ((-21)/m)/(7/112) and c?
120
Let y be 1/4 - (-3)/(-12). Suppose y = 4*m - 8, 10*j - 8 = 9*j + m. Suppose -22 = -x - 6. Calculate the least common multiple of x and j.
80
Find the common denominator of -2 + ((-276)/(-920) - (1 + 5337/(-1810))) and -23/51.
9231
Let i(n) = 2*n**3 - 12*n**2 - 19*n + 75. Calculate the least common multiple of 117 and i(9).
1170
Suppose -4*u + 0*u = 4*q - 236, 2*q = u + 103. Let g = -15 + q. Calculate the lowest common multiple of 24 and g.
312
Let k(j) = -4*j**2 - 6*j + 6. Let a be k(3). Let i = -39 - a. Let q = 129 - i. What is the lowest common multiple of 16 and q?
240
Let g(k) = -k**3 + 3*k**2 + 9*k + 8. Suppose 4*q - 5*b = 14, -4*q + 7 = -b - 15. Let w = 9 - q. What is the smallest common multiple of g(5) and w?
3
Let o(x) be the second derivative of x**5/5 - x**4/3 + 5*x**3/3 - 27*x**2/2 + 10*x + 1. What is the least common multiple of o(3) and 45?
225
Let f = -11976 + 12109. What is the least common multiple of f and 67?
8911
Let k = -19 + 17. Find the common denominator of -51/152 and 4/((-1920)/(-2374)) - k/(-15).
304
Suppose 17*a = 20*a - 405. Suppose -3*i + 8*v - 11*v = -63, -5*i = -5*v - a. Calculate the least common multiple of 20 and i.
120
Let t(y) = -938*y**3 - y**2 + 2. Let o be t(-2). Let u = o + -270007/36. Let h = 3/2575 + -234361/30900. What is the common denominator of h and u?
36
Let q = 227711/126 + -1806. Calculate the common denominator of q and 1/154.
1386
Let s be (-20)/6*6/(-4). Suppose -s*g + 2*g = -36. Suppose 2*v - 53 = -2*y - y, v - 4*y = 32. What is the lowest common multiple of g and v?
84
Suppose 0 = 4*g - 3 + 7, 0 = 2*n + 2*g - 174. Suppose -7*s + 18*s - n = 0. Calculate the least common multiple of s and 22.
88
Let m = 9 + -5. What is the smallest common multiple of (792/(-27))/(m/(-6)) and 4?
44
Suppose -2282 = 9*y - 239. Let w = y + 304. What is the smallest common multiple of 63 and w?
693
Let i = 89 - 71. Let d(c) = 2*c. Let l be d(2). Suppose -2*v = -a - 39, 26 = -3*v - l*a + 101. What is the smallest common multiple of v and i?
126
Suppose 5*d + i + 440 + 1464 = 0, 1160 = -3*d - 5*i. Calculate the common denominator of -93/2 and 169/(-30) - 304/d.
6
Calculate the common denominator of 2/6 + 1*(1 - 14) and 17/((-119)/14) + (-333)/(-264).
264
Find the common denominator of -5/1424 and (2/356)/((-60)/515).
4272
Let w(n) = 3*n + 34. Let y be w(-10). Suppose 0 = -u + 2*d - d + y, 5*u = 4*d + 17. What is the common denominator of ((-507)/(-111))/u - (1 - -3) and 44/9?
333
Let c = 1035 + -604. Suppose -742 - c = -17*d. Calculate the lowest common multiple of 3 and d.
69
Let m = -227/10 - -248/15. Let b = 14364 - 1034159/72. Calculate the common denominator of m and b.
72
Let s = -119813/978050 - -129/631. Calculate the common denominator of s and 31/5.
1550
Let q = -267147667/840 + 318033. Calculate the common denominator of q and -19/14.
840
Let n(m) = -m + 21. Let l be n(22). Let j = l - -73. Suppose -x + j = 3*x. Calculate the least common multiple of x and 15.
90
Suppose -4*k - 3*h + 804 = -9, 5*h - 1010 = -5*k. Find the common denominator of 19/95 - k/110 and 80/33.
66
Let v = -23983 + 167341/7. Let l = 3253/42 + v. Calculate the common denominator of l and -4/57.
798
Let v(y) = 3*y - 1. Let f be v(1). Let u(q) = -20*q**2 - 102*q - 1. Let w be u(-5). Find the common denominator of 259/(-18) + f/w and -3/10.
30
Suppose -4*n = -5*u - 815, -2*n - 23*u + 21*u + 412 = 0. Calculate the lowest common multiple of 11 and n.
2255
Suppose -186*x + 132*x + 108 = 0. What is the smallest common multiple of 36 and x?
36
Find the common denominator of -3 + 1 - -206*(-7)/(-490) and 71/70.
70
Let j be (-1)/(-2)*(-1932)/(-33074). Let a = j - 31862/32355. Calculate the common denominator of -41/39 and a.
585
Let r = 1328 + -2589/2. Let f be 6/(-3 + 3260/1084). Let w = f - 17039/21. Calculate the common denominator of w and r.
42
Let w(u) = 3*u + 48. Let a be w(-16). Suppose a = -23*b + 22*b + 5. What is the smallest common multiple of 4 and b?
20
Suppose -1433*j + 36 = -1427*j. What is the least common multiple of ((-3920)/(-30))/(2/j) and 7?
392
Let f = -7/244 + -5401/976. Find the common denominator of f and -101/1242.
9936
Let d be (-259)/28 - 7/(-42). Let k = d + 1/3. Find the common denominator of -19/85 and k.
340
Suppose u - 832 = -3*n, -2*u + 830 = -44*n + 47*n. Let b(h) = h**3 - 20*h**2 - 70*h + 33. Calculate the lowest common multiple of b(23) and n.
1390
Let s be (2 - 7/1) + (-84)/(-6). Suppose 0 = s*o - 831 + 651. Calculate the least common mult