. Let l be p(10). Suppose -l*n + 36 = n. What is the lowest common multiple of 18 and n?
18
Let g(a) = 157*a**3 + 6*a**2 - 8*a - 4. Let x be g(2). Suppose -18*c + 33*c = x. Calculate the least common multiple of c and 22.
924
Suppose 4*l = b + 155, l - 23 - 7 = 2*b. Let o = -25 + 50. What is the lowest common multiple of l and o?
200
Let i = -191 - -235. Suppose 0 = 45*a - i*a - 21. Calculate the smallest common multiple of a and 21.
21
Calculate the common denominator of 2 + -5 + (-28809)/(-18042) and 43/465.
930
Suppose 3*h + 5 = 4*h + 5*t, -5 = 4*h - 5*t. Suppose 5*l - 3*d = -4*d + 79, h = -d - 1. What is the lowest common multiple of 14 + (7 + 1)*21/(-42) and l?
80
What is the common denominator of -43/2 and 32244/(-4460) - (-2)/5 - 35/(-5)?
446
Let t = 194 - 158. Suppose -t*m + 32*m = -128. Calculate the smallest common multiple of m and 68.
544
Let c(y) = 12*y - 145. Suppose -4*w - 20 = 0, -24*x + 23*x = -w - 18. Calculate the lowest common multiple of 141 and c(x).
1551
What is the lowest common multiple of 48 and (-5 - 1) + -1*(128/(-2) - -2)?
336
Let d = -18350 + 27065. What is the lowest common multiple of d and 350?
87150
Let p = 275309/30 + -9181. Find the common denominator of p and -7 + ((-844)/(-120) - -2).
30
Let j(n) = -5*n**3 + 9*n**2 - 5*n - 35. Let b(g) = g**3 - g**2 - g - 1. Let z(y) = -6*b(y) - j(y). What is the smallest common multiple of z(-5) and 10?
180
Find the common denominator of 13 + 152823/(-6644) - (-11 - -1) and -103/20.
3020
What is the common denominator of -95/336 and (0 + 2)*(12 + (-2598)/216)*-219?
336
Suppose 10*h - 13*h = -30. Suppose k = 2 + 13. Let f = k - 14. What is the least common multiple of h and f?
10
Let c(h) = -h**3 - 4*h**2 + 16*h + 56. Let r be c(-10). Let p = r + -430. What is the lowest common multiple of p and 2?
66
Calculate the smallest common multiple of 813 and (-3094)/(-273) - (-6)/9.
3252
Let l = -4/17249 + -1017275/1793896. Find the common denominator of -9/1040 and l.
1040
Let h be (-14*(-6)/78)/524. Let w = h - -166313/282698. What is the common denominator of w and -56/9?
747
Let w = -368 - -604. Calculate the lowest common multiple of w and 16.
944
Let i = -157 + 333. Let t(j) = -2*j**3 + 17*j**2 - 5*j + 136. What is the least common multiple of t(9) and i?
880
Let m = -557 - -566. Find the common denominator of ((-48)/m + -1)/((-56)/(-24)) and 77/2 - 2/2.
14
Suppose -5 = -5*f, 2*s + 6 = -2*f - 2. Let p(m) = -271 + 157 + 5*m + 143. Calculate the lowest common multiple of 16 and p(s).
16
Let g(x) = x**3 - 18*x**2 - 23*x + 229. What is the smallest common multiple of g(19) and 21?
1071
Let p be ((-42894)/(-189))/(36/(-112)). Let b = p - -706. Calculate the common denominator of -121/180 and b.
540
Let k(v) = 2*v + 3. Suppose 0 = 5*h + 435 + 410. Let m = 202 + h. What is the lowest common multiple of m and k(9)?
231
Let i(v) = 2*v**2 - 12*v + 20. Let y be (2 + -6*1)/((-11)/88). Suppose 3*u + 33 = 8*u - 2*d, 5*u = 3*d + y. What is the lowest common multiple of i(u) and 2?
34
Suppose 0 = 4*o + 4*b + 64, -o + 4*b + 8 = 29. What is the common denominator of (6630/(-72))/o - 0 and -53/14?
84
What is the smallest common multiple of 1827 + -10 - -3*(-28)/(-12) and 24?
1824
Let w be (-101 - -97)*((-3932331)/(-320) + 0). Let o = 49153 + w. Find the common denominator of o and -69/8.
80
Find the common denominator of (289/132 + -2)/(-3) and (-96)/84 + (-5916)/336.
396
Let t(h) = h**3 - h**2 - 1. Let x(p) = 5*p**3 - 8*p**2 - 8*p - 32. Let q(k) = -6*t(k) + x(k). What is the smallest common multiple of q(-4) and 11?
418
Let l = -2183 + 2195. Calculate the least common multiple of 96 and l.
96
Let f = 44 - 42. Suppose 0 = 4*h + 6 + f. Find the common denominator of (8646/504)/(-11) - h/14 and -99/20.
60
Let b = 6115 + -6029. What is the least common multiple of b and 1?
86
Let i = 588 + -455. Calculate the common denominator of (i/(-42))/(-2 - -14) and -67/88.
792
Let y(c) = 5*c**2 - 13*c + 7. Let f be y(3). Find the common denominator of f/(8775/1615) + (-1)/(-5) and -16/27.
27
Let y = -1114642/55 - -20267. What is the common denominator of y and (42/45)/(120/99)?
1100
Suppose 2383 = 25*n + 21*n - 791. Calculate the least common multiple of n and 216.
4968
What is the lowest common multiple of (-170)/8*216/(-45) and 2788?
8364
Let w be (2 - ((-20)/(-4))/5) + -1. Find the common denominator of w - -1 - (-1692)/252 and 20/53.
371
Let a(r) = r**2 - 87*r + 711. What is the smallest common multiple of 4 and a(8)?
316
Let i = 3/159659 + -204133/638636. Calculate the common denominator of i and -139/48.
3792
Let m be 18/(-8)*(28/6 + -6). Suppose 4*g = 3*f + 26 + 18, -m*f - 58 = -5*g. What is the common denominator of g and 26/209?
209
What is the common denominator of 107/6 and ((-360)/(-123) - 3)/(-10) + (-28)/35?
246
Suppose -2*m = 5*k - 310, 0 = 2*k - 0*m - 2*m - 110. What is the lowest common multiple of k and 105?
420
Let f(v) = 23*v**2 - 4*v + 8. Let p(r) = 69*r**2 - 11*r + 23. Let o(m) = 17*f(m) - 6*p(m). What is the common denominator of o(-1) and -19/47?
47
Suppose 3*j = 3*n - 6*n + 1812, j = n + 612. Calculate the least common multiple of 38368/j - (-4)/(-38) and 3.
63
Let c = 10711/760 - 141/10. Find the common denominator of -77/380 and c.
760
Let c(i) = i**2 - 1. Suppose 8*s - 640 = -24*s. Calculate the smallest common multiple of c(3) and s.
40
Calculate the least common multiple of 11 and ((-9 + (4 - -3))*551)/(3/(-18)).
72732
Let d = 34 - 32. Let a(b) = 12 + 4*b**d + 4 - b**2 + 6*b - 4*b**2. What is the lowest common multiple of a(6) and 18?
144
Suppose 7*j - 781 - 299 = -11*j. Calculate the least common multiple of 180 and j.
180
What is the smallest common multiple of 90 and ((-76)/(-10))/(15/(-5) + 136/45)?
1710
Suppose -5*q - 5*c = 327 + 23, 3*c = -2*q - 136. Calculate the common denominator of (4/q)/(164/123) and 57/7.
518
Let m = 78 + -240. What is the lowest common multiple of (-50)/(-175) - (-5)/((-105)/m) and 68?
136
Let g = 14 + -24. Find the common denominator of 2/27 - (-17)/((-1836)/(-343)) and g/(-8)*93/(-25).
20
Let k(x) = x**2 - 5*x - 4. Suppose -89 = -t + 2*n - 703, -2*t = n + 1223. Let z = -610 - t. Calculate the lowest common multiple of z and k(-3).
20
Let i be 2/(-19) + (-8993096)/8512. Let r = i - -1061. Find the common denominator of 107/280 and r.
280
Calculate the common denominator of 903/315*(40/(-1605))/4 and -58/45.
4815
Let s be 21/(-3) + (-31255)/(-7800). Let u = s + -77/104. Find the common denominator of u and 28/3.
15
Let v(w) = 12*w - 18. Let q(d) = -8*d + 12. Let a(r) = -8*q(r) - 5*v(r). Suppose 12408 = 28*y + 11960. What is the smallest common multiple of y and a(7)?
176
What is the common denominator of 3/3 - (-8)/768*-163 and 69/32?
96
Let l = 276556 + -176995887/640. Calculate the common denominator of l and 13/1536.
7680
Let p = -334 - -379. Suppose 2*o - 5 = 67. What is the smallest common multiple of p and o?
180
Suppose 3*m = -4877 + 4865, -k + 72 = -2*m. What is the smallest common multiple of k and -2 + 1 - (-6 - 27)?
64
What is the common denominator of -7 - 1/(-9)*(-1878)/468*-15 and 47/546?
1638
Let r = -585218/15 - -39030. Let o = r - 19/6. What is the common denominator of -9/368 and o?
1840
What is the least common multiple of 1149 and (-5)/(60/(-41379)) + (264/(-32) - -7)?
3447
Let m = 4205718863/30 + -140204821. Let z = -14198 - m. Calculate the common denominator of 67/50 and z.
150
Let y be (10 + -5 - -38) + 5. Suppose 34 = 2*i + 2*t, -7 - y = -3*i - 5*t. Suppose 0 = -0*c - 5*c + i. Calculate the lowest common multiple of c and 6.
6
Let k = 82595/37716 + 1/1796. Let g = -29162/16407 - 2/5469. What is the common denominator of g and k?
63
Let z(o) = -o**3 - 6*o**2 + 4*o - 2. Let j be z(-6). Calculate the common denominator of -23/26 and (-12)/j*108/(-16) + 3.
26
Suppose -3*k - 2*m + 0*m + 477 = 0, 2*k = 3*m + 305. Let q(v) = 23*v - 501. What is the smallest common multiple of k and q(22)?
785
Let c = -35411/3450 - -659/69. Calculate the common denominator of -46/1845 and c.
18450
Let o be 2640/(-140)*(-1 - 111/(-6)). Let d = o + 342. Calculate the smallest common multiple of 168 and d.
168
Suppose 8*x - 7*x = -1431. Let u = x - -9988/7. Calculate the common denominator of 65/33 and u.
231
Let d = 1362786 - 1362759. Let v(k) 