at is the common denominator of y and (-21)/70 - (-42)/(-35)?
14
Let g be 3 - ((-7)/((-28)/32) + 2). Let y be (-32)/(-10)*(-20)/(-4). Let r = g + y. Calculate the lowest common multiple of 8 and r.
72
Calculate the common denominator of (-1*(-7)/(-42))/((-32)/504) and 0/3 - 16/5.
40
Let x = -65341/7160 + 3/3580. Calculate the common denominator of x and 1 + -1 - (-125)/6.
24
Let a = -59 - -61. Suppose -a*k - 6*k + 176 = 0. What is the smallest common multiple of 6 and k?
66
Let d be 3/5 + (-66836481)/176960. Let w = d + 107/5056. Let f = w - -378. Calculate the common denominator of -17/16 and f.
112
Let r = 27/46 - -1119/92. Let i = -158 - -98. What is the common denominator of (-985)/i - (-3)/9 and r?
4
Let s = 27/11 + -989/22. What is the common denominator of s and -3*(86/36 + 0)?
6
Let h = 24 + -18. Calculate the common denominator of (60/1040)/(3/74) and 4/h*135/40.
52
Let d(k) = k - 1. Let i(c) = -c**3 + 11*c**2 - 17*c. Let o be i(9). Calculate the least common multiple of d(5) and (33/o)/(5/15).
44
Let k(u) = u**2 - 11*u - 24. What is the least common multiple of k(-4) and 10?
180
What is the lowest common multiple of 146 and -4 - (-13)/1 - (-20)/(-10)?
1022
Let w = 2/6649 - 259343/106384. Calculate the common denominator of w and (-12)/(-308)*(-231)/(-42).
112
What is the common denominator of ((-4)/(-6))/(12*(-1)/97) and 89/24?
72
Let d(l) = -8*l**2 + l - 2. Let j be d(-2). Let t = 23/4 - 191/12. Find the common denominator of (310/(-105))/((-16)/j) and t.
42
Let x = 51 - 29. Suppose 0 = 5*b + 4*t - x, 0 = -5*t - 3 - 7. Suppose 3*o = b*o - 18. Calculate the least common multiple of o and 34.
102
Suppose 65 = 5*d - u, -3*d + 2*u = -u - 51. Let z be 3 + -74*(-3)/(-6). Let g = -16 - z. Calculate the least common multiple of g and d.
36
Suppose 464 = -4*s + 12*s. Suppose -s*t + 52*t + 12 = 0. What is the lowest common multiple of t and 1?
2
Suppose 2*q + q - 317 = s, 3*q - 325 = 5*s. Let v = q + 192. Let o = 3242/11 - v. What is the common denominator of -29/10 and o?
110
Suppose 11*h + 6 = 12*h. Let l = 7 + h. Let v = -5 + l. What is the least common multiple of 4 and v?
8
Suppose -t + 147 - 9 = -3*p, 2*t = -5*p + 276. Calculate the lowest common multiple of t and 36.
828
Suppose -6*j - 11*j = -2550. What is the smallest common multiple of j and 2?
150
Calculate the common denominator of -3 + 2 + (-388)/(-120) and (-3 - -1) + 776/(-144).
90
Calculate the common denominator of 89/21 + 1*-2 and 3055/(-696) + 92/(-1334).
168
Suppose 0 = 4*z - 975 - 1633. Calculate the smallest common multiple of 14 and z.
4564
Let z = 4203 + -88300/21. Calculate the common denominator of 58/5 and z.
105
Let v = -18775 - -1971439/105. What is the common denominator of v and -143/120?
840
Suppose -406 = 4*l - 5*l + 5*o, -784 = -2*l + 3*o. Calculate the common denominator of (0 - l/132) + (-4)/6 and 61/8.
88
Suppose 0 = 7*l + 84 - 252. Calculate the lowest common multiple of 30 and l.
120
Suppose -30*v - v = -186. Suppose -5*c + 335 = 3*x + 2*x, 0 = 2*c + 3*x - 131. What is the smallest common multiple of c and v?
210
Let h = 7 + 21. Suppose -2*a = -d + 9 + 17, 3*d + a - 43 = 0. What is the least common multiple of d and h?
112
Suppose -18 = -4*g - 6. Suppose 448 = g*o + 1. Let b = 103 - o. Calculate the common denominator of b and 1/6.
6
Let g = -27 - -31. Let v(i) = -i**3 + 4*i**2 - i - 4. Let p be v(g). Find the common denominator of (-29)/(-18)*(4 + p) and 3/11.
99
Suppose -4*w + 5*w = -3*b - 38, 3*w + 15 = 0. What is the common denominator of (b/(-6))/(4/(-3)) and -51/8?
8
Let b = 144 + -133. Calculate the smallest common multiple of b and 1/(-2) - (-38)/4.
99
Suppose 2*j - 22 = -2*c, 2*c = -5*j - 2*c + 52. Calculate the lowest common multiple of 10 and j.
40
Let i(w) = 2*w**3 + 34*w**2 - 7*w - 115. Calculate the smallest common multiple of (25/(-3))/(2/(-6)) and i(-17).
100
Calculate the common denominator of -17/96 and (33/(-180))/(-3 + 30/9).
480
Let p = 1508 - 1486. Let r = -6 - -10. Calculate the lowest common multiple of p and r.
44
Let w be (-32)/(-16) - (4 + 1). Let o(z) = -z**3 - 7*z**2 + 8*z + 9. Calculate the least common multiple of o(-8) and ((-9)/w)/(12/40).
90
What is the common denominator of 3377/(-1320) - 20/(-16) and 119/12?
120
What is the common denominator of 3/(672/(-103)) + 24/56 and -45/8?
32
Let g(i) = 4*i**3 + 2. What is the lowest common multiple of 9 and g(1)?
18
Suppose 0 = 4*a - 10 - 6. Suppose -a*t + 128 = 48. What is the least common multiple of t and 2?
20
Suppose -q - 26 = -5*s, 4*q - 16 = -s + 6. Let d be (-28)/(-42) + (-88)/s. Let x = d - -73/2. Calculate the common denominator of x and 6/11.
22
Let t = 201 + -193. What is the lowest common multiple of 12 and t?
24
Let a = 49 + -47. Calculate the smallest common multiple of a and (-2)/(-9) + 16/9.
2
Let q(m) = -m**3 + 5*m**2 + 2*m - 1. Let y be q(4). Suppose -5*v = 5*p - y - 17, -2*v = -2*p + 32. What is the smallest common multiple of p and 18?
36
Let h be (5/25)/((-2)/(-10)). Let n(a) = 2828*a**3 - a**2 + 1. Let f be n(h). Let i = f - 22701/8. Find the common denominator of i and 43/11.
88
Let k = 1/702 - -3353/702. Find the common denominator of k and -101/8.
72
Suppose 0 = -5*x + 16*x - 231. Let v = -2 - -26. What is the least common multiple of v and x?
168
Let n = -4817651/25 - -192677. Let k = -495210 - -198097591/400. Let f = n + k. What is the common denominator of f and -97/34?
272
Let a = 99923/511400 - 1/2557. What is the common denominator of a and 87/136?
3400
Let x = 61 + -52. What is the least common multiple of (8/6)/((-30)/(-45)) and x?
18
Suppose 12 = -5*f - 38. Let b(j) = j**3 + 11*j**2 + 9*j + 6. Calculate the smallest common multiple of b(f) and 22.
176
Let n(t) = t**2 - 9*t + 4. Let z be n(9). Let k(c) = -2*c**3 + 6*c**2 - 6. Let i be k(z). Find the common denominator of -9/16 and i/80 - (3 + -4).
80
Find the common denominator of 273/(-6)*2/(-48) and ((-644)/168)/((-8)/(-10)).
48
Let t be (-1 + 0)/((-1)/3). Suppose -5*h - 7*u - 20 = -t*u, 27 = -4*h - u. What is the common denominator of -52/5 and (2 - h)*10/(-8)?
10
Suppose -171497 = -10*u + 136863. Let x = u + -4625363/150. Calculate the common denominator of x and 33/20.
300
Suppose 23*s = 27*s - 40. Find the common denominator of 74/9 and (-4)/s + 2771/765.
9
Calculate the lowest common multiple of (-275)/(-3) - ((-186)/18 - -11) and 10.
910
Let d be (-10)/4*8/(-10). Let a = -31 - 167. Calculate the common denominator of 41/8 and (-2827)/a + d/9.
8
Suppose -h + 42 = 2*h. Let t be 5/(-25) - (-14)/(-5). Calculate the smallest common multiple of 9 - (1 - 4)/t and h.
56
Let y = 319 + -2479/8. What is the common denominator of -53/6 and y?
24
Let u be (-10)/105*(-276)/2. Let z = 52/7 - u. What is the common denominator of -67/9 and z?
63
Let w(t) = 28*t + 248. Calculate the least common multiple of w(7) and 24.
888
Let k = -64944 - -5715139/88. Find the common denominator of k and 17/2.
88
Suppose -z + 63 + 10 = 5*c, 55 = 3*c - 5*z. What is the smallest common multiple of 228 and c?
1140
Let b = -678475/68 + 9978. Find the common denominator of b and (-1 + (-122)/(-12))*1.
204
Suppose 17*c = 14*c + 6. Suppose -c*y + 3 + 5 = 0. What is the least common multiple of 4 and -2*(-2)/y*10?
20
Suppose 36*r - 2346 = 30*r. What is the lowest common multiple of r and 3?
1173
Let d = -23136 - -1503877/65. What is the common denominator of 29/5 and d?
65
Let w = -178581418110 + 25333559971138249/141860. Let s = w - -2389/173. Let d = 5/82 + s. What is the common denominator of 41/10 and d?
20
Let h = -4335/4 + 1066. Let l = 2/22237 + 2735111/444740. Calculate the common denominator of h and l.
20
Let h(t) be the third derivative of -3*t**4/8 - 20*t**3/3 + 14*t**2. Calculate the lowest common multiple of h(-11) and 5.
295
Let l = 42 + -39. Calculate the least common multiple of 9 and 0 + -2 + (l - -32).
99
Suppose -3*w - 3 = -45. What is the smallest common multiple of w and 5 - -1 - (-5 + 2 - -1)?
56
Calculate the common denominator of (914/156 - (-15)/(-9)) + -7 and (-1)/(-3) - 217/(-24).
104
Let u = 264 + -257. Calculate the smallest common multiple of 9 and u.
63
Suppose 91 = 9*i - 89. Find the common denominator of 85/32 and -1 + (-289)/90 + 12/i.
288
Let i(k) = k**2 + 8*k - 3. Let g be i(-8). What i