8
Let p(u) = u**3 + 7*u**2 + 2*u - 3. What is the smallest common multiple of 34 and p(-4)?
1258
Calculate the common denominator of 77/290 and 2/(-14) - (-20)/((-4466000)/(-40090)).
3190
Suppose -5*z = 3*q - 558, -329 = -4*z + z + 4*q. Suppose 7*x = 62 - z. Find the common denominator of x and (-1)/(206/(-246) - -1).
20
Calculate the common denominator of 51/11 and 9/(-450)*(0 + 224/(-35)).
1375
Let n = -1567 + 2423. What is the least common multiple of n and 52?
11128
Let y(o) = 7*o - 34. Let s(b) = b**3 - 2*b**2 + b - 7. Let h be s(3). Let r be y(h). Calculate the common denominator of (-2)/r - (-652)/24 and -5/3.
6
Let k be (6 + -6)/(-1 + 1 + 1). Suppose 3*p - 5*d = 66 - 5, -69 = -3*p - 3*d. What is the lowest common multiple of ((-3 - k) + 4)*14 and p?
154
Suppose -26885 = 18*n - 52283. Calculate the smallest common multiple of n and 581.
9877
Let g be 1/(-3) + 7942/1155. Let n be 2/(-6)*(-2651)/77. Let x = n - g. Find the common denominator of -137/6 and x.
30
Suppose 0 = 2*o - 7 + 3. Let k = 442537/3 + -147494. What is the common denominator of (24/(-27))/(3/o) and k?
27
Suppose 0 = -3*v - 2*m + 40, 3*m = 2*v - 4 - 53. Calculate the least common multiple of v and 5112.
5112
Let j = -62668491/22 - -2854493. Let n = 5924 - j. Let d = -513 + 1119/2. Calculate the common denominator of n and d.
22
Let x(z) = -7*z**3 - z - 4. Suppose -5*v = 4*q - 0*q + 18, 4 = -3*q + v. What is the least common multiple of x(q) and 12?
108
What is the least common multiple of 7 and 10/(-75) + ((-1)/5)/((-69)/3151)?
63
What is the common denominator of (4 + (-41)/14)*11200/2304 and 23/192?
192
Suppose -5*j + 20 = 0, 0 = 2*f - 4*j - 24 - 26. What is the least common multiple of f and 429?
429
Let s = -4651369/190 - -24481. Calculate the common denominator of 27/532 and s.
2660
Suppose -114*s - 3*s - 73582 = -373102. Calculate the lowest common multiple of 448 and s.
17920
Let c = 1/2342759982 + 26942585785875/8867736991867. Let f = 1/5241 + c. What is the common denominator of 146/(-32) + 6*(-13)/104 and f?
208
Suppose -10 = -q - x, 0 = -4*q + 806*x - 804*x + 28. Let l = 28 + -16. What is the least common multiple of q and l?
24
Let i(o) = 3*o - 119. Let p be i(23). Find the common denominator of ((-12)/2 - -5) + 66/p and -73/50.
50
Let j(z) be the second derivative of z**5/20 - 7*z**4/12 + 5*z**3/6 + 5*z**2 - 54*z. What is the smallest common multiple of j(6) and 22?
44
Let t = 2/1747 - 99659/69880. Let p = 29904 - 897031/30. What is the common denominator of p and t?
120
Suppose 5*g - 32 = 4*c, 138*g = 136*g + c + 11. Calculate the least common multiple of 491 and g.
1964
Let p be (3 - -122)/(-5)*2. Find the common denominator of (-75)/p*1/(86/(-56)) and 38/7.
301
Suppose 0*h - 1296 = 5*h - 9*h. What is the least common multiple of 6 and h?
324
Find the common denominator of -1 + -10 - 6*133794/(-72981) and 7/102.
5406
What is the common denominator of ((84/(-70))/((-21)/55))/(800/4) and -19/175?
700
Let j be -1 - ((6 - 2) + -7 - -8). Find the common denominator of 23/9 and 259/(-65) - (j - (-4)/2).
585
Let s be 6/18*54857/(-2). Let f = s - -9168. What is the common denominator of (-266)/18*1/(-6) and f?
54
Let x(m) = 4*m + 14. Let l(q) = -q**2 - 5*q - 6. Let j be l(-2). Calculate the least common multiple of x(j) and 31.
434
Let w = 27 - 25. What is the common denominator of 54/40 + (0 - 0) and (w + (-95)/8)*13/(-13)?
40
Let c = 25/28 - 1185/308. Calculate the common denominator of 268/30*4/16 and c.
330
Let p be (-76 + 22)/(3*3/(-24)). Suppose -2*a - a + p = 3*s, -2*s - 4 = 0. What is the smallest common multiple of a and 2?
50
Suppose -2*l + 2 = -2. Suppose -5*v + l = -3. What is the smallest common multiple of (6 + 0)*1 + 1/v and 11?
77
Let c(f) = -2*f**3 - 6*f**2 + 8*f + 3. Suppose -11*m + 17304 = 17106. Calculate the lowest common multiple of c(-5) and m.
126
Let i be -5 + 4622 + 4 - 6/(-8). Let n = i - 4647. What is the common denominator of n and 291/198 + (-11)/(-66)?
44
Let x be (-5)/3*(32 - 2) + 1. Let m = x - -93. Let o = -36 + m. Calculate the lowest common multiple of o and 42.
168
Let u = -14115 - -14907. What is the least common multiple of u and 45?
3960
Let w be (-9)/((2/(-78))/(13/39)). Suppose -w + 63 = -9*g. What is the lowest common multiple of g and 63?
126
Let h(s) = s**3 + 41*s**2 - 6*s - 150. Calculate the lowest common multiple of h(-41) and 1047.
33504
Suppose -l + 2190 = -16*l. Let d = -142 - l. What is the lowest common multiple of 2 and d?
4
Let j(n) = -8 - 5 + n**2 - 2 - 3237*n + 3239*n. Suppose h = 2*p + 2*h - 78, -30 = -p - 5*h. What is the least common multiple of j(-7) and p?
40
Let p be 2 - 3 - -3 - -8. Suppose 2*k + p = 0, 4*q + 278 = 3*k - 5*k. Let x = -59 - q. What is the least common multiple of 64 and x?
64
Let h(b) = -b**3 + 3*b**2 + b - 1. Let s be h(3). Suppose 2*d = -s*d + 32. Calculate the smallest common multiple of -8 + (-4 - 8/(-1)) + 8 and d.
8
Let r(i) = i**3 + 36*i**2 + 36*i + 65. Let m be r(-35). What is the common denominator of (-12)/m + (-306)/(-1815) and 81/44?
484
Let f(k) be the first derivative of 3*k**4/2 - k**3/3 - 3*k**2/2 - 4*k + 6. Let d be f(3). Calculate the lowest common multiple of 4 and d/30*(-3)/(-2) + 3.
20
Let b(s) = 6*s**3 + 112*s**2 - 35*s + 56. Let u be b(-19). Suppose -2*l = -289 + 51. Calculate the smallest common multiple of 18 and (l/(-4) + (-6)/24)/u.
90
Let n = 107 + 35. Suppose 2*d = -5*z + 51, -3*d + 2*z = 2*d - n. What is the least common multiple of 40 and d?
280
Let o(y) = y**2 - 10*y + 28. Let v be o(6). What is the common denominator of 9*(-11)/v - (9 - 9) and 13/34?
68
Suppose 2*q - 8 = 0, -2*z - 2*q = q + 26822. Let g = z + 7321. Calculate the common denominator of ((-70)/72 - -1)/(128/g) and 41/18.
288
Let n(o) = -o**3 - 16*o**2 + 22*o - 6. Suppose 2*f = p + 4*f - 14, -3*f + 91 = 5*p. Calculate the smallest common multiple of n(-18) and p.
2460
Let h be ((-279)/27)/(2/(-6)). Let f = h - 19. What is the smallest common multiple of 18 and f?
36
Suppose 5710 = 22*k - 88538. What is the lowest common multiple of k and 18?
4284
Let q = 903013/69 + -13088. Let k = -530 - -4153/8. Calculate the common denominator of q and k.
552
Let x = 5 + -9. Let l be (-10)/(6/120*-5). What is the common denominator of -91/30 and l/108*-12 - 2/x?
90
Suppose v - 65 = -4*v. Suppose -9*r + 161 = -2*r. Suppose r + 3 = v*x. Calculate the least common multiple of x and 6.
6
Let a(d) = d**2 - 5*d - 6. Let n be a(6). Suppose 10*b - 2160 = -n*b. Calculate the lowest common multiple of b and 10.
1080
Let b(n) = -n**3 + 51*n**2 + 988*n - 7. Calculate the least common multiple of b(-15) and (-15)/(-2) + (-2)/4.
161
Let h = -27965 - -28557. Calculate the least common multiple of 80 and h.
2960
Calculate the common denominator of (-18 + (-1397)/(-55))*2/8 and -7/922.
9220
What is the common denominator of (-23)/3 + (33 + -35)*(-4)/16 and -14/561?
1122
Let w = 303 + -260. Calculate the common denominator of (7/120)/(w/(-43)) and -41/12.
120
Suppose -8*w = -7*w - 6. Suppose -5118 = w*t - 1818. What is the common denominator of -5/28 and 2/10 + (25545/t)/(-13)?
308
Let l = -736338438868/5157 - -142784261. Let z = l + -24/191. Calculate the common denominator of -58/39 and z.
351
Let x(t) = -t**2 - t - 1. Let q be x(-2). What is the common denominator of (-39)/(-10) - 2/q and 6/28*((-1)/8)/((-99)/1078)?
120
Calculate the common denominator of 198/(-2871) - 5030/232 and -19/4000.
4000
Suppose 0*k + 5*f + 382 = 2*k, 3*f - 191 = -k. Let i = 224 - k. What is the least common multiple of i and 30?
330
Suppose -189*u + 3930 + 39 = 0. Calculate the common denominator of -7/4021 and u.
4021
Suppose 0 = f - 5*f + 8. Suppose -f = -p + 4. Calculate the smallest common multiple of 14 + 93/((-2604)/280) and p.
12
Let n be 24/6*2/(4/1). Suppose -c + 4*x + 42 + 5 = 0, -4*x + 142 = 2*c. Calculate the common denominator of n/(6/(-9)) - c/78 and 65/18.
234
Let b = 499 - 513. Calculate the common denominator of 103/52 and ((-7 - -1) + 8)/(144/b).
468
Let o(l) = l**2 + 10*l - 20. Let i be o(-17). Let j = i - 5. Suppose -d = -3*k + j, -k - 2*d = k - 76. What is the lowest common multiple of 18 and k?
198
Suppose -10*i + 97664 = 188*i + 20*i. What is the smallest common multiple of i and 56?
448
Let d be 2/2*(-16 - -4). Wh