-3 - v/(-380) - 0.
836
Let a = 2022418945/1083342 + 2/180557. Let k = a + -1862. Find the common denominator of 331/(-18) + 2/9 and k.
6
Let q be (16/6 - 7/(-21)) + -90. Let s = q - -101. Suppose -s*h + 320 = 2*h. What is the least common multiple of 32 and h?
160
Suppose -1092*c + 12 = -1079*c - 40. Let k = -10 - -14. Calculate the least common multiple of c and (-1)/(-4) + 19/k.
20
Let h(l) be the third derivative of 13*l**4/8 + l**3/2 + 13*l**2. Let n be h(2). Suppose -21 + n = 5*x. Calculate the least common multiple of x and 24.
24
Let n be 355/1085*-1 + 4/(-14). Let p = -8129012671/496 - -16389145. Let a = p + n. What is the common denominator of a and -131/24?
48
Let l = 2/18831 + -885217/1506480. Find the common denominator of -19/100 and l.
400
Suppose 24*n = -383 - 289. Find the common denominator of 1*1/n*234 and 119/20.
140
Let z(u) = -u**2 - 36*u + 3908. What is the least common multiple of z(-82) and 544?
544
Let t = -44 + 74. Let l be ((-9)/27)/((2 - 0)/(-42)). Let q(h) = -h**3 + 5*h**2 + 18*h - 18. What is the smallest common multiple of q(l) and t?
30
Suppose 0 = 70*t - 65*t - y - 132, -4*t + 102 = y. Calculate the least common multiple of t and 378.
4914
Let k(r) be the second derivative of -19*r**3/6 - 85*r**2/2 + 151*r. What is the lowest common multiple of k(-16) and 30?
2190
What is the common denominator of 91/124 and (-48)/72 - (-4 - 130/(-18))?
1116
Let r = 224 + -214. Calculate the smallest common multiple of 2/5 - 4*(-156)/40 and r.
80
Let r(u) = 23*u - 279. Let g be r(9). Let h = 8/337 + -13552/3033. Calculate the common denominator of 22/g*(-5 + -15) and h.
9
Let d be 1/3 + (-77)/(-21). Suppose d + 3 = -7*x. Calculate the common denominator of 28/27 and (10/15)/((-5)/11) + x.
135
Let p = -21 - -20. Suppose -q + 0 - 1 = 0. Calculate the common denominator of q - (52/152)/p and -5/22.
418
Let w(y) = -3*y**2 - 53*y + 136. Calculate the least common multiple of 145 and w(-19).
1740
Let g = -6445317/283 + 22775. Let q = -16091/1415 - g. Find the common denominator of (-12)/(-10)*(-25)/7 and q.
35
Let t be 8685387/(-96)*-1*7/21. Let d = t + -30155. What is the common denominator of 79/72 and d?
288
Find the common denominator of 5 - (-8 - 17/((-714)/676)) and 58/351.
2457
What is the lowest common multiple of 51 and (-16)/(-18)*(-144)/32 + 259?
255
Let m = 67763176/4075 - 16629. Let d = 2013585289/3 - 16410720303401/24450. Let y = d + m. Find the common denominator of 107/20 and y.
20
Suppose 0 = -3*m + 395 - 389. Find the common denominator of (-2)/(((-1)/m)/(246/(-48))) and 44/39.
78
Let z(y) = -21*y + 27. Let t be z(-6). Let k = t + -161. Calculate the lowest common multiple of (-9)/12 + (-134)/k and 52.
208
Calculate the common denominator of 37/528 and (-6)/7 + 5480*3/48384.
3168
Let n(b) = b**2 - 8*b - 5. Let z be n(9). Let u be (15/5)/(z - (-2)/(-2)). Calculate the common denominator of u*87/90 - (-1)/(-5) and -68/15.
30
Let j = 25/228 + -8497/1596. Let x = -1157/4 + 318163/1100. Let t = -20063/1100 + x. Calculate the common denominator of t and j.
28
Let h(m) = -m**2 + 16*m - 8. Let j be h(12). Suppose -4*w = -5*q - j, q - w = -4*w + 11. Find the common denominator of ((-6)/q)/((-9)/57) and 3/2.
2
Let h = -663271/16 - -41459. Calculate the common denominator of -47/29280 and h.
29280
Let j be ((-20)/(-15))/((-8)/18). Let p(y) = 14. Let h(f) = -f - 56. Let o(q) = 2*h(q) + 9*p(q). Calculate the lowest common multiple of o(j) and 100.
100
Let q = 2955 + -2952. Calculate the least common multiple of 451 and q.
1353
Let a be ((-3697)/4)/(15/14). Let m = 863 + a. Calculate the common denominator of (75790/3498)/(2 + -3) and m.
30
Let x be (95/(-150) - -4) + -4. Let h = 22/15 - x. Let j = h - 13/6. Calculate the common denominator of 7/30 and j.
30
Let p be 6 + -53 + 1 + -6. Let r be 580/p + 7/(91/2). What is the smallest common multiple of 5 + -2 + -2*3 - r and 52?
104
Let w(h) = h**3 + 10*h**2 - 2*h - 60. Let c be w(-10). Find the common denominator of 10/4*13/2 and 854/c - 4/10.
4
Let l(g) = -9*g - 9. Let z(i) = i**2 - 2*i - 20. Let u be z(5). Let a be l(u). Let o = -18 + a. Calculate the least common multiple of 28 and o.
252
Let g = -316 - -1010. Let c = g - 4881/7. What is the common denominator of c and -32/295?
2065
Let d = 144 - 144. Let y(w) = 2*w**3 - w**2 - 3. Let x be y(d). Calculate the common denominator of (-200)/144*(-18 + (-9)/x) and 25/27.
54
Let m(p) = -5*p + 36. Let j be m(8). Let y be (j/(-6))/(25/(-15))*-15. Suppose 2*v + 1 = x, 0 = 3*x - 3*v - y. Calculate the lowest common multiple of 15 and x.
15
Let b = 53210 - 53196. Suppose -134 - 90 = -4*x. Calculate the lowest common multiple of b and x.
56
Let j = -14396 + 32218249/2238. Let p = 25172/12309 + j. What is the common denominator of 489/(-90) + 0 + 1 and p?
330
Let k(z) = z**3 - 2*z**2 - 4*z + 7. Let d be k(3). Suppose -5*r + 7*r - d*o = 32, -3 = -o. What is the smallest common multiple of 4 and r?
44
Let m = 249 + -57. Suppose 16*c - 40*c + m = 0. What is the lowest common multiple of (-1 - -8) + (-4 - -2) and c?
40
What is the common denominator of 103/2352 and (-36930)/1512 + (21 - -3)?
7056
Let q = 4889 + -1547. Suppose v = 195 - q. Let i = v - -28351/9. Calculate the common denominator of 64/3 and i.
9
Suppose 5*u + 10 = -0*u. Suppose -2*k - 5*q = 116, 2*k + 3*q + 108 = 2*q. What is the common denominator of 115/24 and ((-61)/u - 0)/(26 + k)?
216
Let q(i) be the first derivative of -i**3/3 + 4*i**2 + 126*i - 143. What is the lowest common multiple of q(-7) and 48?
336
Suppose -18 = -q - w, 3*w - w = 3*q - 64. Let a(i) = -46*i + 28. Let r be a(-6). Suppose 3*d + r = 11*d. Calculate the smallest common multiple of d and q.
380
Let y(l) = 38*l**2 + 3*l + 1. Let n be y(-6). Calculate the common denominator of 14/(-63) - n/8946 and -23/6.
426
Let y = 2392/9 - 24397/90. Let d(c) = -3*c - 3. Let a be d(-2). What is the common denominator of y and ((-654)/(-18))/(10/a)?
10
Suppose 242*y - 1128 = 148*y. What is the smallest common multiple of 15270 and y?
30540
Let a(u) = -66*u + 18. What is the least common multiple of 1656 and a(-3)?
4968
Let t(z) = 20*z**3 + 7*z**2 - 8*z. Let q be 2/6 + 48/72. What is the smallest common multiple of t(q) and 4?
76
Let v = 102 + 1098. Calculate the least common multiple of 75 and v.
1200
Let i = 3053173/2429642 - -4/32833. Let v = -5525/2 + 33301/12. Calculate the common denominator of i and v.
444
Suppose 3150 = -143*g + 141*g. Find the common denominator of -1/147 and (6/(-20))/((-45)/g).
294
Let g = -143033589575/4309176 + 348/179549. Let r = 33187 + g. Find the common denominator of r and 29/20.
120
Find the common denominator of -94/1617 and (-235)/(-550) - (9 - 128/16).
16170
Let y(t) = -29*t**3 - 6*t**2 - 4*t + 3 + 54*t**3 - 4*t - 26*t**3. Calculate the lowest common multiple of y(-4) and 30.
30
Let k = 118/13 - 2141/286. Let o = -30908 - -6861599/222. Calculate the common denominator of o and k.
2442
Let l be (-3)/(-1) + (13 - (1 - -7)). Calculate the common denominator of -32/15 and l/6 + -1 - 1436/240.
60
Let o = 4919 + -4898. Calculate the smallest common multiple of o and 21.
21
Let x = -405137 - -4453110/11. Let l = x - -310. What is the common denominator of l and -52/9?
99
Suppose 18*s = -17*s + 49*s - 5488. What is the least common multiple of 48 and s?
2352
Suppose 68*s = 85*s + 323. Let v(g) = g**2 + 23*g + 116. Suppose -5*i + 0 = -10. What is the least common multiple of v(s) and i?
40
Let k = -114131/724040 + 89/1574. Calculate the common denominator of -46/15 and k.
2760
Let h be 0 + -5 - 1/(-843920)*4657326. Let j = -286/959 + h. Find the common denominator of j and -21/8.
440
Let k be (203/(-21))/(2/(-42)). Suppose z - 3*z = -2*n + 102, 4*n - k = 5*z. What is the common denominator of 137/60 and (-165)/(-36)*n/(-30)?
180
Let v be (-12 - -8)*(-59)/4. Let d(p) = -2*p**3 - 3*p**2 - p + 1. Find the common denominator of d(-3) and (v - -4)/(4/((-8)/(-10))).
5
Suppose 4*z + 936 = 4*o, 24*o - 2*z - 238 = 23*o. Calculate the lowest common multiple of 897 and o.
8970
Let z = -261 - -263. Find the common denominator of (z + 2)*90/56 and -19/17.
119
Let r = -1839 + 3279. What is the lowest common multiple of r and 450?
7200
Let b = -2/13485 + -315509/269700. Find the common denominator of 212/(