43/(-220)*(2 + -1 + p) and -3 + (-44)/14 - 12/28.
70
Suppose 312 = 3*d + 4*f, 87*d - 84*d = -5*f + 315. Calculate the smallest common multiple of 100 and d.
100
Let n(f) = -4*f**3 - 46*f**2 - 22*f + 6. What is the lowest common multiple of 206 and n(-11)?
618
Let t be -1 + 23620/32 + 0. Let f = t + -741. What is the common denominator of 29 and f?
8
Suppose 0 = -0*c - 4*c - 192. Calculate the common denominator of -101/36 and 22/(-33) + 53/c.
144
Let h = -29 + 33. Suppose 4*i + 2*k = 6, 2*k + 2*k = 3*i - 10. Suppose 25 = r + h*r, i*r + 6 = d. Calculate the smallest common multiple of d and 6.
48
Suppose t - 3*z = 95 + 6, 0 = -5*z - 25. Let a = -18 - t. Let p = -68 - a. Calculate the smallest common multiple of 18 and p.
36
Let z(x) = 2*x**3 - 2 - 208*x + 6*x**2 - x**3 + 214*x. Let g be z(-2). Calculate the common denominator of (-7314)/(-1404) + g/(-13) and 83/12.
36
Let t = 666 + 518. What is the lowest common multiple of 6 and t?
3552
Find the common denominator of (1376/192)/(3 + (-39)/6) and (-446)/(-154) - (-4 - -7).
231
Let l(t) = -t**3 - 7*t**2 - t - 64. Let d be l(0). What is the common denominator of -4 + -2 + d/27 - -6 and -76/27?
27
What is the common denominator of 19/738 and 1/(-90)*1043 + 10?
3690
Let s(c) = -19*c - 16*c**3 - 36 + 70 - 33 - c**2 - 17*c**2. What is the least common multiple of s(-1) and (-2)/4 + 114/4?
252
What is the common denominator of (3/6)/((-286)/(-962)) and -1/1876?
20636
Suppose -j + 0*j + k + 35688 = 0, j + k - 35678 = 0. Let x = 1712645/48 - j. What is the common denominator of x and -161/60?
240
Let w = -17737/6420 - 28/321. What is the common denominator of (172/20)/((-3060)/225) and w?
340
Let g(d) = 20*d - 91. Let f be -6 - -1 - -4*(-110)/(-40). Calculate the least common multiple of g(f) and (-2)/(-2) + (-10)/(-5).
87
Calculate the common denominator of -74/33 and ((-152)/(-26) - 6) + (-6289)/(-20007).
891
Let x(o) = -3*o**2 - 47*o - 21. Let r be x(-15). What is the smallest common multiple of 124 and (-2 - (-6)/(-9))/((-2)/r)?
372
Find the common denominator of -10/63 and 32/(-144) - 5997/(-32697).
10899
Let b = -154 + 97. Let w = b + 63. Calculate the smallest common multiple of 54 and w.
54
Let q be (148/(-111))/((-2)/(-6)*-1). Suppose 0 = -k + q*k + b + 727, 4*k + 981 = b. What is the common denominator of (2/(-36))/((-4)/k) and -29/18?
18
Let o = -2622 + 2652. What is the smallest common multiple of o and 5*8/(-6)*(-3)/2?
30
Let q = 61 - 76. Let l = -15 - q. Suppose -4*d - 5*d + 270 = l. Calculate the least common multiple of 21 and d.
210
Calculate the common denominator of 47/63 and (329/84 + 9)/5.
252
Suppose 5*w + 14 + 7 = -t, -2*t = -4*w. What is the common denominator of (75/(-12) - 4)/(39/t) and (1 + 0)*156/56?
182
Let s(p) = -p**3 + 20*p**2 - 2*p + 39. Let n be s(20). What is the common denominator of (n - 4/(-8))/(4/212) and 62/561?
1122
Suppose -5*n = -t + 20, -8*t - 5*n + 10 = -6*t. Calculate the smallest common multiple of t and 2844.
14220
Let o = -82 + 91. Let q be (-114)/(-2) + (o - 11). Let h = -41 + q. Calculate the least common multiple of h and 32.
224
Suppose -245*p - 5*v = -243*p - 560, 2*v = 4*p - 1048. Calculate the least common multiple of 371 and p.
1855
Suppose 46*x = 41*x - 110. What is the smallest common multiple of x/5*(-1*14 + 4) and 40?
440
Suppose 69*h + 91*h - 38*h = 732. Calculate the smallest common multiple of (3 - 3)*1 - -5 and h.
30
Suppose 17 = 4*y + 5. Let f be (66/116)/(-2*y/(-8)). Let r = 689/870 - f. What is the common denominator of r and -8/21?
210
Let n = 233 + -213. Let z(m) = 13*m. Let l be z(-4). Let s = -30 - l. Calculate the smallest common multiple of n and s.
220
Let k = 6058 + -121101/20. Suppose -19*s + 20*s + 16 = 0. Find the common denominator of 4/(s/20) - (-894)/60 and k.
20
Let m(r) = -219*r - 1956. What is the smallest common multiple of 648 and m(-13)?
7128
Suppose -5*k - 4*b = -1458, 2*k - 53*b - 579 = -54*b. Calculate the lowest common multiple of 169 and k.
3718
Suppose 38 + 25 = 21*z. Let p(u) be the second derivative of 3*u**4/4 - 5*u**3/6 + 5*u**2 + 2*u. What is the lowest common multiple of 18 and p(z)?
684
Let z(n) = -45 + 24*n**2 + 11 + 3 - n**3 - 22*n + 11. Let v be z(23). What is the smallest common multiple of 40 and 98/v + (-26)/39?
160
Suppose 406 = -21*q + 700. Calculate the smallest common multiple of 294 and q.
294
Let y(t) = t**2 + 5*t - 6. Let v be y(-6). Suppose -5*q = -79 + 39. Find the common denominator of -23/26 and (-332)/q*(v + (-1)/4).
104
Find the common denominator of 18540/(-2520) + (1 - -9) and 103/7368.
51576
Let t(m) be the second derivative of -m**5/20 - 5*m**4/6 + 2*m**3 + 8*m**2 + 2*m - 1. Calculate the lowest common multiple of 3 and t(-11).
15
Let w be (49630/(-301750))/((-8)/(-45)). Let z = w + 1/6035. Calculate the common denominator of 91/40 and z.
40
Calculate the common denominator of (-2)/(-25) + 283972/51600 and 686/(-440) - 16/(-40).
132
Let v be (0*3/6)/3. Suppose v*f - 42 = -2*f + 5*c, 3*f - 4*c = 56. Suppose -44 = -f*l + 36. What is the smallest common multiple of 4 and l?
20
Suppose 20 - 8 = 4*m. Suppose -m*s + 2 = -4*h + 5*h, 0 = 4*h + s - 8. Calculate the lowest common multiple of (19 - 8/(-2)) + -3 and h.
20
Calculate the common denominator of 43/100 and ((-31)/((-775)/(-10)))/((-12)/105).
100
Find the common denominator of (1225/1320 - 0) + -11 + 1001/88 and 22/45.
495
Let u = -337/10 + 396/5. What is the common denominator of (-7)/(-41)*(-15)/(-10) and u?
82
Suppose 30295 = 5*g + 270510. Let z = g - -1729685/36. Find the common denominator of (-712)/336 + (-4)/(-14) and z.
36
Let p be (-2 - 228) + (-4)/(-1) + 1. Let x = 246 + p. What is the lowest common multiple of x and 57?
399
Let f be -19 - ((-12)/(-3) - 3). Let k = 60 + f. Let w(j) = j + 7. What is the least common multiple of w(15) and k?
440
What is the common denominator of ((-31)/2)/((-782)/(-207)*-9) and (-1)/(-4) + 114/108?
612
Let o = -85817/12 + 7157. Let t = -18/341 + -30455/10912. Calculate the common denominator of t and o.
96
Let s = -470 + 201. Let n = 275 + s. Calculate the smallest common multiple of n and 1 + -2 - (-1 - 42).
42
Suppose 5*i + 5*x + 2 = 12, 0 = 5*i - 4*x - 1. Calculate the common denominator of (i/4)/(15/33) and (1458/(-180))/(-2 + -1).
20
Suppose 265*j = 274*j - 99. Suppose -j = 14*r - 95. What is the smallest common multiple of r and 15?
30
Let o(l) = 166*l**2 - 11*l - 72. Let b be o(21). Let m = -948997/13 + b. Let d = m - -9401/104. Calculate the common denominator of 35/8 and d.
8
Let m(a) = a**3 + 17*a**2 + 10*a - 33. Let j be (-9 - (-45)/(-9)) + (0 - 2). What is the least common multiple of m(j) and 70?
630
What is the least common multiple of ((-567)/(-1134))/(1*(-1)/(-72)) and 1704?
5112
Let x(n) = 129*n + 4. Calculate the lowest common multiple of (-396)/726 + (-83)/(-11) and x(4).
3640
Suppose m - 16 = 2*o, 14*m - 40*o = 9*m - 130. What is the smallest common multiple of 762 and m?
3810
Let d be (-3 - -2)*((-12)/(-3) + -3). Calculate the smallest common multiple of 1*3/(((-4)/48)/d) and 16.
144
Calculate the smallest common multiple of 63 and (-1970)/(-20) + -4 + 9/2.
693
Let x be 74/19 + 32/304. What is the least common multiple of (x/(-4))/(4/(-360)) and 24?
360
Let u(g) = -4*g**2 - 37*g - 4. Suppose -3*k = -17 + 2. Suppose -k*w = 5*p + 70, -5*p - 4*w - 25 = -8*w. Calculate the least common multiple of u(p) and 9.
45
Let x = -22224 + 22344. What is the smallest common multiple of 24 and x?
120
Let c be 5 - 7 - -1 - -2399. Suppose c - 817 = 3*b. Let p = b - 137023/260. Calculate the common denominator of 87/22 and p.
2860
Let k = 5513/636 + 97/106. Calculate the common denominator of 20/70 - 717/(-1386) and k.
132
Suppose -d - 112 = -2*n + 2*d, -d = -3*n + 154. Suppose 4*p = 3*m + 8 + n, 0 = 2*p - 3*m - 26. Let u = -1 + p. What is the least common multiple of u and 3?
15
What is the common denominator of 6 + -15 + 3551/(-507) + 7 + 9 and -27/65?
2535
Let m(a) = -a**3 + 47*a**2 + 3*a + 25. What is the lowest common multiple of 166 and m(47)?
166
Let i = -1/3219 + -28919/167388. Calculate the common denominator of -79/4040 and i.
52520
Let n = 23534/3 + -46785589/5964. Let g = n + -23111/994. What is the common denominator of -19/20 and g?
20
Let w = -5405 - -5675. Calculate th