 c = b - -65. Suppose 7*t - 2*t - c = 0. Calculate the lowest common multiple of t and 12.
12
Let m be 2/((-2)/(-3 - -7)) - -18. Suppose 3*u - 4*h - 138 = 0, 0 = m*h - 9*h. What is the smallest common multiple of u and 14?
322
Let b(f) = -3*f**2 + 25*f - 7. Suppose 48 = -g + 7*g. What is the lowest common multiple of 11 and b(g)?
11
Suppose 0 = 4*y - 8*y + 12. Let h be (-36933)/(-5720)*(-2)/y. Let u = -43/22 - h. What is the common denominator of -18/5 and u?
20
Let c = 6 - 5. What is the lowest common multiple of 130 and -28*(0 + c)*(-2)/4?
910
Let f be (5 + -3)/((-49)/(-12) + -4). Calculate the common denominator of (-2)/(-10)*2140/56 and (-114)/f*(-10)/(-24)*3.
112
Let q be (-45)/(-24) + 15/120. Suppose -q*n - i = -7, -2*n + 5*i + 0 = 11. What is the least common multiple of 7 and n?
14
What is the common denominator of 119/550 and 4/(-5) - 104/(-105) - 12/16?
23100
Let b(o) = o - 4. Let p be b(6). Suppose -p*w + 3*s = 3*w - 112, 0 = w - 5*s - 40. Let m = 223 + -205. Calculate the lowest common multiple of w and m.
180
Let r = -15190 - -15192. Let s be 396/15 - (-4)/(-10). Suppose -s = -u + 5*d, u + r*d - 49 = -4*u. Calculate the lowest common multiple of u and 9.
99
Let m = -395 + 232. Let s = -142 - m. Calculate the lowest common multiple of 39 and s.
273
Find the common denominator of (-205)/(-160)*(1 - 0) and (-9)/12*(-732)/(-54).
96
What is the smallest common multiple of 8 and 1655/1 + ((-60)/4 - -8)?
1648
Suppose -15*z + 11*z - 40 = 0. Suppose u + 3*a = 3*u + 17, 2*a - 6 = -4*u. What is the common denominator of -41/19 and ((-9)/z)/(u*(-12)/(-112))?
95
What is the common denominator of 14/3815*795/12 and 8 + -17 + 603/48?
1744
Let o be ((-54)/24)/(-2*5/120). Find the common denominator of 3*4/(-144) + (-6)/o and -29/12.
36
Let d = 20538 + -410663/20. Let t be 2*((-1572)/3)/2. What is the common denominator of 20/(-24)*t/(-60) and d?
180
Let d = 284 + 1161. What is the common denominator of -23/9 and 5/(-30) - d/(-210)?
63
Let m = -34111/20 - -1705. Let t = 2319 - 11463/5. Let w = -26 + t. Find the common denominator of w and m.
20
Let y = -254410 - -105325663/414. What is the common denominator of y and -40/207?
414
Suppose 20*x = 19*x - 3*q + 183, 2*q = -x + 186. Calculate the lowest common multiple of x and 60.
960
Let q = 711 - 700. Suppose 2*o + 1 = -n, 4*o + q + 3 = 2*n. What is the least common multiple of n and 22?
66
Let n be (-4)/(8/2)*344. What is the common denominator of n/(-387)*(-1)/(-4) and -97/240?
720
Let o = 2875 + -57569/20. Find the common denominator of 29/33696 and o.
168480
What is the common denominator of 2/(42/1305)*10/5760 and -95/14?
1344
Suppose 5 = -23*y + 24*y. Suppose 0 = y*b + 30 - 45. What is the least common multiple of 1 and 522/(-12)*((-7)/(-3) - b)?
29
Let v(w) = -17*w**3 + 2*w**2 + 3*w + 6. Let h be v(-3). Let t = -7511/16 + h. Find the common denominator of ((-5)/(-100))/((-1)/(-22)) and t.
80
What is the smallest common multiple of (-109296)/(-1288) + 1/7 and 2346?
11730
Let b(l) be the first derivative of l**2 - 88. Calculate the smallest common multiple of b(1) and 20.
20
Find the common denominator of -75/1672 and (-3 + 5440/1815)*2832/304.
18392
Suppose 0 = -139*f + 123*f - 7840. Let j = -476 - f. What is the smallest common multiple of j and 46?
322
Suppose -11*l = -16*l - 90. Calculate the common denominator of -39/16 and (l/(-5) + -4)/((-64)/1300).
16
Let i = -36 + 54. Suppose -j + i = -0*j. Calculate the least common multiple of j and (78/(-52))/(3/(-4)).
18
Calculate the common denominator of -79/32 and (348/(-54))/(132/(-9) + 4).
96
Let v = -9154 - -82432/9. Suppose x - 4*h + 4 = 0, -5*x + h - 5*h = -100. What is the common denominator of v and 0 + (-2)/x*73?
72
Let s(i) be the third derivative of i**5/30 - i**4/8 + 5*i**3/3 - 15*i**2. Let k be s(4). Calculate the common denominator of (-3)/k*67/(-2) and -28.
20
Suppose 569 = -2*n - 3*y, 4*y + 102 = -n - 195. Let j = -219 + n. Let w = 1023/2 + j. Calculate the common denominator of w and 3/10.
10
Suppose -98*v = -41*v - 456. What is the lowest common multiple of (-124)/(-10) + 8/(-20) and v?
24
Let j be (-9)/(-6) + 3/(-2). Suppose -158*y + 157*y + 78 = j. What is the lowest common multiple of y and 8?
312
What is the common denominator of -71/1440 and 8/(-1) + 31459/138960 + 8?
1440
Let m = -1450628/13853 - -3/1979. Let o be (1/14)/(8/(-11042)). Let u = m - o. Find the common denominator of u and -39/22.
88
Suppose -56 = -14*r + 84. Suppose -14 + r = -2*n. What is the lowest common multiple of 64 and n?
64
Suppose 5*n - 13*n = 11*n. Suppose -3*g + 250 - 205 = n. Suppose 0 = -4*r - 4*q + 116, -5*r - 4*q + 45 = -104. What is the smallest common multiple of g and r?
165
Let d(o) = 79 + 24*o**2 - 22 + o**3 - 9*o**2 + 42*o - 9*o. What is the least common multiple of 9 and d(-12)?
279
Let u = 126686353/338569 + 1/30779. Let r = -14/5392979 - 272005679975/711873228. Let h = u + r. What is the common denominator of h and 29/2?
12
Suppose -46*v = -45*v - 5. Suppose -h - 2 + 1 = 0, 2*h + 402 = v*w. Suppose 3*i = -2*i + w. What is the lowest common multiple of i and 10?
80
Let a = -10019171/83616 + 8035/67. Calculate the common denominator of 149/1716 and a.
13728
Let v = -36 - -234. Suppose -46*n + 49*n - q - 213 = 0, v = 3*n + 4*q. What is the least common multiple of 7 and n?
70
Let x = -3658 - -6900. Let j = x - 61614/19. Calculate the common denominator of (-8)/(-56)*21/(-6) and j.
38
What is the common denominator of (20/(-15))/((-31)/(-217)) and (-628)/46*(-13)/(-156)?
138
Calculate the common denominator of 180/420*27/(-12) and 43/315.
1260
Let z = -54958433/486 + 113083. What is the common denominator of 155/702 and z?
6318
Calculate the common denominator of 2/(-10)*170/102*(-80)/21 and 70/153.
1071
Let w = 49 + 92. Suppose -18*r + 393 = w. What is the lowest common multiple of r and 16?
112
Let a = 289 + -269. Let y(j) = -3*j**2 + 19*j + 5. What is the least common multiple of a and y(6)?
220
Let q = -7831/68748 - -7/337. What is the common denominator of q and -47/18?
612
Let g(c) = 178*c + 296. What is the least common multiple of g(6) and 372?
4092
Suppose 0*p + 4*p + 5*s - 53 = 0, -5*p - s = -61. Suppose -3*w - 24 = -3*f, -3*w + p + 0 = 0. What is the smallest common multiple of f and 72?
72
Let x(c) = 2*c**3 - 3*c**2 + 2*c - 3. Let g(d) = 8*d + 182. Let w be g(-18). Suppose 5*f + w = 203. What is the least common multiple of f and x(3)?
330
Suppose -2*i = -4*a + 12, -3*a + 12 = -4*i - 2. What is the common denominator of a*(9/210)/((-18)/(-1695)) and (1 - 1) + 204/(-128)?
224
Let n be -5 - (1 + -588) - -4. Let t = 587 - n. What is the smallest common multiple of 292 and t?
292
Suppose 0 = -43*u + 732*u - 3443622. What is the lowest common multiple of 816 and u?
39984
Let i be 1 + 1 + 100954/10. Let p = 10206 - i. Let s = 9103/80 - p. What is the common denominator of s and 43/8?
16
Calculate the common denominator of (47/(-441))/((-16)/24) and -41/42.
294
Find the common denominator of (2/(-8))/((-268)/603) and -81/3422.
27376
Suppose 0 = -5*b + 3*k - 5192 + 45368, -32064 = -4*b + 28*k. What is the least common multiple of b and 2115?
40185
Suppose -5*i = 5*p - 60, -3*i = p - 7*i + 3. What is the common denominator of 1216/(-285) + p/15 and -71/86?
258
Suppose -3*f + 3*q + 150 = 0, -3*q + 26 + 44 = f. Calculate the least common multiple of f and 1900.
20900
Let k = 174 + -120. Let u = -5 - -42. What is the common denominator of k/120*(-46)/3 and u?
10
Calculate the common denominator of 93/20 and (38/2184)/((-238)/(-28) + -9).
5460
Calculate the least common multiple of 408 and 442400/140 - (2/5)/((-5)/100).
53856
Let u = -17467 + 17497. Suppose -3*d + 22 = -2*l - 40, 5 = -l - 5*d. Let v = l - -43. What is the lowest common multiple of v and u?
90
Let k(t) = 3*t**3 + 4*t**2 + 74*t - 160. Calculate the smallest common multiple of 2408 and k(2).
2408
Let i(s) = -s**2 - 20*s + 52. Let o be i(-21). Suppose 91 = 5*u + o. Suppose -9*a + 33 = -u. Calculate the lowest common multiple of 10 and a.
10
Let f(l) = -l**2 - 10*l + 18. Let w(v) = -v**2 + 3*v + 6. Let k be w(6). Let g be f(k). Calculate the common denominator of -67/6 and 7/(-16)*1*3/g.
96
Let q = -3511637/419 - -8381. Let v = 15551/10056 - q. What is the common denominato