at is the common denominator of (c/3)/((-684)/(-152)) and ((-4)/10)/((-12)/(-655))?
54
Suppose -31*p + 119 - 26 = 0. What is the lowest common multiple of 24 and p?
24
Let w = 48 - 69. What is the common denominator of (-39 - (-9835)/245)*(-23)/12 and (-72)/w*1 + -1?
21
Suppose -11 = -m - 0*m - 3*r, -5*m - 2*r + 81 = 0. Suppose 5*k - 3*c + m - 92 = 0, k - 5*c + 7 = 0. What is the smallest common multiple of k and 12?
36
Let p(o) = 4*o - 20. Let j be p(6). Suppose j*x + 4*b - 12 = 0, 3*x - 2*b + 4*b = 7. What is the least common multiple of 12 and (1 - 2)*(x + -2)*10?
60
Let d be (-63)/(-3 + (-3)/(-2)). Suppose 0 = -3*g + d + 30. What is the smallest common multiple of 4 and g?
24
Let u = -1114 + 1115. Let g(q) = 41*q**2 - 3*q - 3 + 2 + 3. What is the smallest common multiple of g(u) and 18?
360
Find the common denominator of (-16)/(-15) + -3 + 2/(-6) and (-1826)/(-550) - -2*(-2)/5.
75
Find the common denominator of -11/1631 and (2/(-14))/((-20)/110 + (-3660)/2860).
30989
Let c(q) be the second derivative of -q**4/12 + 55*q**2 + 5*q. Let t be c(0). Calculate the common denominator of 4 - 1 - (-230)/t and -21/17.
187
Let m = 239006 + -106118807/444. Calculate the common denominator of m and 87/592.
1776
Let d be 268/(-10)*(-7185)/(-18). Let k = d - -4492921/420. What is the common denominator of -4/35 and k?
140
Suppose 51*j = -8*j + 1593. What is the least common multiple of j and 375?
3375
Let z = -1985/1814 + 464390921/424387114. Let d = 95451967/9591991 - z. Let b = d + -9275/656. Calculate the common denominator of b and -117/56.
112
Suppose 0 = -r - 3*a + 367, -3*a = -7*r + 9*r - 752. Calculate the lowest common multiple of r and 715.
5005
Let m = -503 + 505. Calculate the common denominator of 81/100 and (m - 0)*(10/48 + 0).
300
Let n(x) = -2*x**2 - 3*x + 8. Let b be n(-3). Find the common denominator of -13/20 and (-38)/(-171) - (-754)/(-360)*b.
60
Let y(p) = -4*p**3 - 5. Let b be 0/(-1) + 0 + (-8 - -7). Let j(w) = w**3 - w**2. Let z(n) = b*y(n) - 5*j(n). What is the least common multiple of z(4) and 24?
168
Let p = 695 + -947. What is the common denominator of ((0 - -14)/p)/(6/268) and 11/6?
54
Let j(p) = -p - 22. Let n(o) = 3*o + 66. Let g(r) = 17*j(r) + 6*n(r). What is the smallest common multiple of g(28) and 50?
50
Let a(n) = -5*n + 128. Let y be a(-12). Let h = y + -58. What is the least common multiple of h and 26?
130
Let v(c) = c**3 - 8*c**2 - 79*c + 86. Calculate the least common multiple of v(18) and 24.
5712
Let f(q) = 57*q**2 + 155*q + 154. Calculate the lowest common multiple of f(-1) and 80.
560
Suppose 5*a = 3*a. Suppose a = -2*j + j + 10. Let z = 122 - 76. What is the least common multiple of j and z?
230
Suppose -10788 = -36*p + 31980. What is the lowest common multiple of p and 54?
1188
Find the common denominator of -77/6 and 1356/21018 + (-177669)/2802400.
271200
Let y = -21 + 37. Suppose 0 = 334*h - 335*h + 2*z + 242, -487 = -2*h + 3*z. What is the lowest common multiple of y and h?
496
Let q = -139252/33 - -4224. Let i = 43/11 - q. What is the common denominator of i and 8/15?
15
Let z be ((-55895744640)/3443363)/3 - (-11)/77. Let m = z - -1065288/197. Let n = m + -1/227. What is the common denominator of 61/5 and n?
55
Let h = 282 - -334. Let a = h - 371. What is the lowest common multiple of a and 9?
2205
What is the common denominator of 4777/(-1020) - 2/(3 + 5) and -67/172?
2580
Let y = 4045 - 3133. Calculate the smallest common multiple of y and 1710.
13680
Let o = 24254287/396 - 61248. Find the common denominator of 149/1056 and o.
3168
Suppose 2*k + 132*c - 136*c = 1280, -4*k + 2576 = -4*c. What is the least common multiple of k and 324?
648
Let z be (60/(-9))/((-15)/1350). Suppose -239*x + z = -229*x. What is the lowest common multiple of x and 84?
420
Let w = -1518728421/46 + 33012221. Let f = -3614 - w. What is the common denominator of f and 61/10?
230
Suppose 5*t + 407 = 2*x - 918, -3*x + 2*t + 1982 = 0. What is the smallest common multiple of 45 and x?
1980
Suppose -4*j = 3*x - 2, -9 - 4 = 5*j - 4*x. Let s(g) = -118*g - 15. Calculate the least common multiple of s(j) and 4.
412
Let h(z) = -2*z + 6. Let p be h(-3). Suppose 0 = 10*k - p + 12. Suppose k = 7*y + 7*y - 252. What is the lowest common multiple of y and 36?
36
Let x = 781/75 - 4201/450. Find the common denominator of x and 105/34.
1530
Let c(m) = 77*m**2 + 94*m + 144. What is the lowest common multiple of 336 and c(-6)?
2352
Let b = 83688491/10305 + -73090/9. Calculate the common denominator of 53/11 and b.
12595
Suppose -5*i = -2*j + 329, -525*j - 4*i = -520*j - 905. Calculate the smallest common multiple of j and 2580.
152220
What is the common denominator of 29/1025 and (1 - 23/20)/((-630)/(-11 + -10))?
8200
Let p(u) be the third derivative of u**4/24 - 5*u**3/2 + 2*u**2. Let b be p(20). Find the common denominator of ((-13)/b)/(54/(-50) + 1) and 22/9.
18
What is the common denominator of (-4 + (-3366)/(-864))*((-38)/5 + -1) and 19/632?
3792
Find the common denominator of (-3)/576*-4*(-500)/(-122) and 157/240.
14640
Let n = -1505/124029 - -59604448237/6573537. Let r = -9067 + n. Let z(m) = -m**3 - 7*m**2 + m - 9. What is the common denominator of r and z(-8)?
53
Calculate the common denominator of 4 - 20/((-199800)/(-40585)) and -77/1110.
9990
Let t = -3368941 - -60885353/18. Let n = t - 54299/4. Find the common denominator of n and (1/5)/(80/(-4850)).
72
Let q = -5463 - -21783/4. What is the common denominator of 149/4494 and q?
8988
Suppose -a + 2259 = -323*o + 328*o, 4*a + 3*o = 9155. What is the least common multiple of 2 and a?
2294
Let s(g) = 2*g**3 - 42*g**2 + 6*g - 9. Let t be s(21). What is the common denominator of -17/2 and (-299)/t + (-2)/9*-1?
6
Suppose -53*t + 11690 = 10842. Suppose 4*j - 68 = 3*y - 4*y, 2*j + 406 = 5*y. Calculate the least common multiple of y and t.
80
Let i(g) = 2*g**3 - 73*g**2 + 80*g - 539. What is the lowest common multiple of 145 and i(36)?
30305
Suppose -316 = 3*f - 5*f. What is the common denominator of f/20*5/(-10) and -3 + 0 + (975/138)/5?
460
Let k(q) = 87*q**3. Let w(j) = -11*j**3. Let b(y) = 4*k(y) + 33*w(y). Let x be b(1). Calculate the lowest common multiple of 30 and -2*x/20*2.
30
Let j = 9267 - 8977. What is the lowest common multiple of 87 and j?
870
What is the common denominator of 83/50 and (((-2)/(-500))/1)/(4 + 1758/(-438))?
250
Suppose -7*q + 559 - 188 = 0. Suppose 3*c - q + 11 = 0. Suppose 59 = 5*i + c. What is the smallest common multiple of 15 and i?
45
Calculate the common denominator of (3 - 12 - 1)*(-1)/(-79) and -21/16.
1264
Let q = 2645801 + -4540194361/1716. Find the common denominator of -73/42 and q.
12012
Suppose -12*p - 4320 = -32*p. Calculate the least common multiple of 250 and p.
27000
Let y(x) = 108*x**2 + 6*x + 8. Let v be y(-2). Calculate the common denominator of v/24 - -1 - (7 - 8) and 28/55.
330
Suppose 0 = -5*r + 3*s - s + 6, 3*s = 4*r - 2. Suppose 110 = r*l - 2*t, -51 = -2*l - t + 62. What is the lowest common multiple of 56 and l?
56
Suppose 0 = 4*r - 5 - 7, 7*z - 3*r + 2 = 0. Let x be (-2)/(-11) + 4325/(-11). Find the common denominator of 21/2 and z - x/(-132)*2.
22
Suppose 4*n + 22 = 3*x, -2*x - 5*n = -4*n. Find the common denominator of (-30260)/(-720) + (11 - 55) and (-20)/(-16) - x/4.
36
Let o(c) = c**3 - c**2 + c. Let b be 0*1/(-4) + 4. Suppose 18 = 4*j - b*d - 34, -2*j + 30 = -4*d. What is the smallest common multiple of o(1) and j?
11
Let s(t) = 5*t**2 - 4*t - 6. Calculate the lowest common multiple of -2 + (7 - -24) + (-23)/(69/12) and s(6).
150
Let j be 42/15 + -3 + 3/15. Suppose 2*k + 43 = 2*i + 3*i, -2*i - k + 19 = j. Calculate the lowest common multiple of i and 6.
18
Let x = -1731 + 20939/12. Let t = x - 74/3. What is the common denominator of t and -51/80?
80
Let t = -3/4189 - -305839/58646. What is the common denominator of t and (9 + -9)/1 + (-119)/(-54)?
378
Suppose -2*i - 4 = 2*i, -2*y - 5*i - 709 = 0. What is the lowest common multiple of 1/8*159 - 44/y and 4?
20
Let b = 29 - 8. Let c be b/28 + 10769/(-4980). Let h = 9/166 - c. Calculate the common denominator of h and -35/11.
165
Let u(k) = 4*k**2 - k - 1. Let v = -7570 + 7734. Calculate the lowest common multiple of u(-1) and v.
164
Let d(a) = -6*a**3 + 5*a**2 + 3*a - 5. Let o be d(5