 Suppose 2*c + 0*x - 22 = -4*x, -3*c = 5*x - 29. Calculate the lowest common multiple of c and n.
3
Let b(n) = -46*n + 358. What is the least common multiple of b(7) and 288?
288
What is the common denominator of 46/1503 and ((-10)/(-40) + 3/3)/((-12)/78)?
12024
Let l(c) = c**3 + 27*c**2 - 28*c - 39. Let d be l(-28). Find the common denominator of 6/d*1044/(-96) and 20/117.
468
Let t = -129337 - -30782139/238. Calculate the common denominator of t and -25/4.
476
Let g(m) = -m**3 - 4*m**2 - 4*m + 1. Let v be g(-3). Let p be 15*(-3)/150*v*-10. Suppose p*k - 10*k - 2 = 0. What is the lowest common multiple of 41 and k?
41
Let s = -35874/13 + 2758. Calculate the common denominator of s and 400/30 - 2/(-6).
39
Suppose 2*w + 20*k - 325 = 23*k, k - 657 = -4*w. Let t = 52 + -43. Calculate the smallest common multiple of t and w.
1476
Suppose 0 = 3*g - 9*g + 228. Let m be (-55)/(-975)*((-654)/g)/1. Let x = -27/130 - m. Find the common denominator of 53/8 and x.
152
Let x(q) be the second derivative of 5/12*q**4 + q**2 - 1/6*q**3 + 0 + 5*q. What is the least common multiple of 4 and x(2)?
20
Let s(k) = k**3 - 7*k**2 + 107*k - 594. Calculate the smallest common multiple of s(6) and 524.
1572
Let u be 220/495 - 419/(-9). Suppose -141 = -u*z + 141. What is the lowest common multiple of z and 46?
138
Let a = 13358 + -6158. Calculate the common denominator of 6105/a - (26/(-10) - -2) and -65/6.
96
Let b be (-26)/(-91) + (-3053914)/280. Let h = 10911 + b. Find the common denominator of 9/95 and h.
380
Let a = -7648/67 - -16876255/147869. Calculate the common denominator of 41/9 and a.
19863
Let h = 1504 - 1488. Let f = 9 + -6. Suppose s - f*s = -24. Calculate the least common multiple of s and h.
48
Let c(x) be the first derivative of 2*x**3/3 + 27*x**2/2 + 22*x - 48. Calculate the lowest common multiple of c(-14) and 12.
36
Let n = 9457 - 9385. Calculate the least common multiple of n and 1104.
3312
Let w(i) = -i**3 + 15*i**2 + 50*i + 86. What is the lowest common multiple of w(18) and 1824?
12768
Let w = -57663 - -3690509/64. Let d = -62722 + 9032119/144. What is the common denominator of w and d?
576
Let j(t) = -369*t + 3. Let x be j(-1). Calculate the common denominator of x/(-12)*(-3)/36 and ((-2)/6)/((-416)/(-102) - 4).
12
Let o = 10681 - 106901/10. Calculate the common denominator of (5320/608)/(5/14 + 1 + -1) and o.
10
Suppose -3*u = 4*z - 584, -3*u + 7*u + 5*z - 779 = 0. Let m = -99 + u. Calculate the lowest common multiple of 4 and m.
388
Let j = 173 + -171. Calculate the common denominator of 143/48 and -7 - (520/48 + j).
48
Suppose -14*s - 2570 = -3494. Suppose -4*n = -43 - 45. Calculate the lowest common multiple of n and s.
66
Suppose 4*n = 4*x + 116 - 468, 0 = -3*n + 6. Suppose -3*f + 5*k + 16 = -180, 3*f = -3*k + 228. Calculate the least common multiple of x and f.
360
Let s = 699481/2161720 - 60/4913. Calculate the common denominator of -13/2420 and s.
4840
Let k(s) = s**2 - 8*s - 65. Let d be k(19). Find the common denominator of -2 + 2/d*(-1324)/(-5) and -31/10.
90
Suppose 0 = -19*j + 20 + 892. Suppose 3*w - 19*w + j = 0. What is the lowest common multiple of w and 27?
27
Let g = -404231/96072 - 3/4003. Find the common denominator of g and (2 + (-50)/24)/((-4284)/483 - -9).
72
Let k be (44580/26)/5 + 4. Let m = -346 + k. Calculate the common denominator of m and -45/16.
208
Find the common denominator of 376/24*(-9)/192 and 1287/77*14/(-40).
320
Let w(v) = v**2 - 9*v - 29. Let j be w(11). Let t be -25*6*j/((-56)/6). Let x = -877/8 - t. Find the common denominator of x and 97/20.
40
Let q = -6607/52 + 127. What is the common denominator of q and 69/104?
104
Calculate the lowest common multiple of 31 and (-10)/((-70)/609) - (-1)/((-3)/(-18)).
93
Let x(o) = 122*o**2 + 5*o + 8. Let k be x(-3). Let f = 4331/4 - k. Calculate the common denominator of f and 77/2.
4
Let d(r) = -r**2 + 22*r - 27. Let c be d(17). Let w be 1 + -1 - 184/4. Let k = w + c. What is the lowest common multiple of 24 and k?
24
Let o = 11 - 7. Let f = 12/7075 + 218437/523550. Calculate the common denominator of f and o.
74
Let h(i) be the third derivative of -1/6*i**4 + 10*i**2 + 1/12*i**5 + 0 + 0*i + i**3 - 1/120*i**6. What is the smallest common multiple of h(4) and 7?
42
Suppose 3*x + 12 = -2*p + 7*x, -12 = -4*p - x. Let f be 33 + 0*(p - 3). Find the common denominator of 3*(152/f)/4 and 36.
11
Let l(j) = 45*j - 7. What is the lowest common multiple of (18/5)/(596/1490) and l(5)?
1962
Suppose 5 = i - 4. Calculate the smallest common multiple of i and (((-6)/(-18))/((-1)/1))/((-1301)/46836).
36
Calculate the common denominator of 2/2037 and (188/194)/(-137 - -159).
22407
Let z = 3345 - 26793/8. Let m be ((-69)/46)/(((-3)/(-1148))/(-1)). Calculate the common denominator of m/35*5/14 and z.
56
What is the lowest common multiple of ((2772/(-55))/9)/(4/(-1160)*4) and 4?
812
Let k be ((-2692)/(-5) - -1) + 57/95. Suppose 2*i + k = 17*i. What is the least common multiple of i and 4?
36
Let v(x) = -x**3 - 65*x**2 + 114*x - 1307. What is the smallest common multiple of v(-67) and 1078?
3234
Suppose -4*p = -5*l + 14, 0*p - 3*l = -5*p - 24. Let i be 1*-15 + (p - -5). Calculate the common denominator of 81/(-21)*14/i and 4/11.
88
Suppose -116 = 9*d + 73. Let f(w) = -w**2 - 26*w - 73. What is the smallest common multiple of 28 and f(d)?
224
Suppose 0 = 2*f + 5*j + 600, 0*f + 5*f + 3*j = -1462. Let q = f - -1468/5. Find the common denominator of (14/2)/(-1) - 336/(-54) and q.
45
Let f(b) = -2*b + 4. Let r be f(-3). What is the common denominator of (4 + (-50)/12)/(1760/480) and (-4)/r - 47/(-30)?
66
Suppose 168*m = 176*m + 704. Find the common denominator of (19 - 4)*((-244)/m + -3) and 19/3.
66
Let q(p) = -p**3 + 22*p**2 - 19*p + 54. Let y be q(16). Let z = 3799/3 - y. Let n = 2699/8 - 336. Find the common denominator of z and n.
24
Let d(p) = p - 1. Let q(y) = -5*y + 2. Let c(n) = -4*d(n) - q(n). Let l = -2462 - -2465. Calculate the least common multiple of l and c(7).
9
Suppose -56 = 6*o - 13*o. Let y be 6/(-27) + (-814)/(-18). Calculate the smallest common multiple of (-5 + 117/y)/(4/(-70)) and o.
168
Let r = -30946 - -31386. What is the smallest common multiple of r and 16?
880
Let d = 5386 + -4686. What is the lowest common multiple of 100 and d?
700
Suppose -19*o + 23*o + 1164 = 0. Calculate the common denominator of (o/(-4))/(0 + -2*3) and 25/18.
72
Suppose -5*l - 54 = 686. Let n = l + 154. Calculate the least common multiple of n and 84.
84
Let a be 2/(-4) + -35*(-9)/(-6). Calculate the common denominator of a/(-18) - (-98)/147 and (-191)/(-36) - (-1)/(-4).
18
Let h = -295386/17 - -701836541/40392. Find the common denominator of h and -137/2970.
11880
Let v = 115121/30192 - 188/51. Calculate the common denominator of 1/888 and v.
1776
Let m be ((-28)/(-6))/((-8)/(-48)). Suppose -4*j = 5*o - 47, -o + 12 = 3*o. Calculate the smallest common multiple of 4*(-4)/(-40) - m/(-5) and j.
24
Let i = 4664 - 4264. What is the smallest common multiple of 500 and i?
2000
Suppose 2*r + 148 = -5*d, 5*d + 3*r - 92 = -239. Suppose 2*o - 20 = -3*o. Find the common denominator of -119/10 and 30/22*5/d - o.
110
Let k(i) = 3*i + 96 - 60 - 42. What is the lowest common multiple of 144 and k(4)?
144
Let b = 15294 + -168868/11. Let a = b + 2796/55. What is the common denominator of a and (2 - 0)*-10*(-6)/(-66)?
55
Suppose 9 = 4*o + 1. Let m be 1/(-2*o/36). Find the common denominator of -46/9 and m/(-18)*10/(-9)*13.
9
Let k = -3083 - -3182. What is the smallest common multiple of k and 88?
792
Let k = 477 + -383. Calculate the smallest common multiple of k and 282.
282
Suppose m - 5*z = -75, -m + 3*z = 4*m + 485. What is the common denominator of -121/42 and ((-2)/m)/(18/(-1455))?
420
Let q = -1229/136 + 126/17. Let b = -67874 - -7466051/110. What is the common denominator of q and b?
440
Let r(c) = -c**3 - 37*c**2 + 119*c + 35. What is the lowest common multiple of 55 and r(-40)?
825
Suppose -100 - 1837 - 1327 = -68*d. What is the lowest common multiple of d and 400?
1200
Let u = -572 - -644. Suppose 3*r - 18 = u. What is the smallest common multiple of 27 and r?
270
Let a(p) = -2*p**3 + 30*p**2 + 163*p + 64. What is the least common multiple of 5 and a(19)?
1365
Suppose 5089 - 1087 = 23*m. Let b 