common denominator of 1/2 and -3 - k - (-9)/(-8).
8
Suppose 30 = 4*k - k. Let a = 31 + -27. Calculate the smallest common multiple of k and (a + 12)*(-1 + 2).
80
Let b(d) = 4*d + 2. Let x be b(0). Calculate the common denominator of -107/24 and (x/30)/(42/35).
72
Let z be (14/21)/(4/(-6)). What is the least common multiple of (-10)/(-3)*72/40 and z*(16/(-1) + 2)?
42
Let u(b) = -b**3 - 12*b**2 - 12*b + 7. Let f be (2 + (-4)/3)*6. Calculate the least common multiple of u(-11) and f*(6/(-4))/(-1).
18
Let h = 55 + -15. Calculate the lowest common multiple of 3 and (-8)/h + 272/10.
27
Suppose 5*f = -m + 325, -4*f + 4*m + m = -231. Calculate the least common multiple of 176 and f.
704
Let d = 218706/391037 + 27/2399. Let p = 22939/2934 + d. Calculate the common denominator of p and 10/21.
126
Let t be (-1*87/12)/((-1)/4). Let n = 35 - t. Suppose 0 = 2*o - 2. Calculate the lowest common multiple of o and n.
6
Let t be 1/(-5) - (-761)/3800. Let n = -182389/41800 - t. What is the common denominator of ((-1)/2)/(22/(-92)) and n?
11
Suppose 36*p - 5580 - 1692 = 0. What is the smallest common multiple of p and 7?
1414
Let a = -212440/21 + 10118. Calculate the common denominator of a and -52/9.
63
Let z = -10 - -16. Let l = 51 + -39. Calculate the least common multiple of 4*(-3 + 1 + z) and l.
48
What is the least common multiple of 815 and -2 - (-12)/(72/30)?
2445
What is the least common multiple of 176 and 2064/(-301)*(-14 + 0/(-2))?
1056
Suppose o + 48 = 4*o. Suppose 4 - 2 = 2*m. Let c(q) = 20*q**2 - 2*q. Calculate the lowest common multiple of c(m) and o.
144
Let d(n) = -2*n**2 + 22*n - 8. What is the lowest common multiple of d(2) and 4?
28
Suppose 1 = -5*n - 9. Calculate the least common multiple of 2 - 5 - -1 - -1 - n and 26.
26
Find the common denominator of -9/38 and -6 - ((-6)/5)/(84/(-15)).
266
Let u be (-1)/(-1)*(1228 - -1). Let l = 22261/18 - u. Find the common denominator of (-2 + (-233)/(-44))*(-8)/20 and l.
198
What is the common denominator of 2002/528 - (-5)/3 and -29/40?
120
Suppose 0 = -3*z - 12, 5*h + 2*z + 3*z + 10 = 0. Calculate the common denominator of h/(-4)*(-176)/128 and 85/22.
176
Calculate the smallest common multiple of 30*(105/(-7))/(-3) and 15.
150
Let z(f) = 20*f + 901. What is the lowest common multiple of z(-44) and 138?
966
Let n(g) = -10*g**2 - 4*g + 31. Let y be n(19). Let o = y + 21881/6. Calculate the common denominator of -65/22 and o.
66
Calculate the common denominator of 82/(-40) + (-4 + 11 - 5) and 38/7.
140
Let m(w) = w + 12. Let b be m(-12). Find the common denominator of -95/6 and ((-4)/4 - (-130)/(-16)) + b.
24
Let k = 12355/942 - -8/157. Find the common denominator of k and -17/42.
42
Suppose 32 = -10*x + 11*x. Let u(i) = -i + 7. Let t be u(4). Suppose x = w + t*w. Calculate the smallest common multiple of w and 18.
72
Let z be ((-266)/(-21))/((-15)/(-9) + -2). Let b = z + 60. What is the least common multiple of b and 26?
286
Suppose -6*n + 8*n = 4. Let t(y) = -20*y + 2. Let p(g) = -g**2 - 2*g - 1. Let h be p(0). What is the least common multiple of n and t(h)?
22
Let t = 16 + -14. Suppose -o - t = -3. What is the lowest common multiple of o/(-6) + 37/6 and 2?
6
What is the least common multiple of 30 and (-9)/((-2354)/(-236) + -10)?
1770
Let i = -147/52 + -38/13. Let a be (-6)/40*(-13605)/702. Let t = a + -50/39. What is the common denominator of i and t?
8
Let f(q) = -q**3 + 11*q**2 + 16*q + 24. What is the smallest common multiple of 88 and f(12)?
792
Let c = -34 - -58. Calculate the smallest common multiple of 18 + 4/(-10) + (-2)/(-5) and c.
72
Suppose s = 3*s - 20. Suppose 10*r + 17 - 28 = -1. Calculate the smallest common multiple of r and s.
10
Let b = -28 - -64. Suppose h + h = 3*n - 18, -6 = 2*h + 3*n. What is the common denominator of b and (585/h)/(-3) - 3?
2
Let o = 14 + -6. Suppose i + o - 6 = 0. What is the lowest common multiple of 1 and (-9)/(-3) - (i + 3)?
2
Let g = -1720 + 5233/3. Calculate the common denominator of -97/42 and g.
42
Suppose 2*r = -2*j + 486, 284 = 2*r - j - 193. Calculate the least common multiple of 48 and r.
240
Let n be (-5)/(-4) + -1 + 129156/48. Let z = 56428/21 - n. Calculate the common denominator of 34/33 and z.
231
Let j be (-1)/2*16*6. Calculate the common denominator of 10/j*120/66 and 95/6.
66
Let y = -1685 - -1700. Suppose 0 = -u + 3*k + 30, -3*u + 6 = -2*u + 5*k. Calculate the smallest common multiple of u and y.
105
Let q be ((-6)/675)/((-15)/(-36)). Let a = -17561/3000 + q. Calculate the common denominator of a and -43/8.
8
Let u = -30771/2128 + 81/112. Let o = 7187/342 + u. Find the common denominator of o and 131/12.
36
What is the smallest common multiple of 10*4/16 + 540/8 and 11?
770
What is the lowest common multiple of 128 and 74/8 + ((-9)/12)/(-1)?
640
Suppose 0 = -4*q + 5*j + 419, -121 = 2*q - 2*j - 327. Let h(p) = p + 4. Calculate the least common multiple of q and h(3).
672
Suppose -5*p - b - 175 = -3*b, -3*p - 3*b = 105. Let f(h) = h**2 + 14*h - 7. Let n be f(-13). What is the lowest common multiple of 150/7 + n/p and 26?
286
Suppose 4*g + 19 = g - 5*k, g = -5*k - 23. What is the smallest common multiple of 814 and g?
814
Suppose 7*u - 8 = 3*c + 3*u, 4*u = -c + 8. Suppose 2*b - 4 = -c. Calculate the smallest common multiple of 50 and b.
50
Calculate the common denominator of (1112/(-360))/(16/20) and -8/9.
36
Let t(l) = l**2 + l + 2. Suppose 0 = -3*r + 4*h - 9 + 66, 0 = -3*h - 9. Let q = 17 - r. Calculate the least common multiple of q and t(2).
8
What is the common denominator of (2*(-1)/24)/(20/(-2020)) and (-223)/44 - ((-4)/(-16) + -1)?
132
Let h = -22 + 40. Calculate the smallest common multiple of 8 and (1 - 18/(-4))*h/9.
88
Let h(r) = r**3 + 19*r**2 - 2*r - 33. Let q(g) = g**2 - g + 4. What is the smallest common multiple of h(-19) and q(3)?
10
Let k = 64 + -24. Suppose k + 20 = 4*g. What is the lowest common multiple of g and 12?
60
Let x = 1767/110 - 114/11. What is the common denominator of x and 95/24?
120
Suppose -2*z + 25 = -c, z + 5*c + 4 - 11 = 0. What is the least common multiple of z and 5?
60
Suppose -6 - 1 = -4*h - 5*y, -5*h + y = -45. Suppose -228 = -h*b + 5*b. Calculate the least common multiple of 4 and b.
76
Suppose 0*k + 3*k = 30. Calculate the smallest common multiple of k and ((-1)/3)/(180/(-1215))*4.
90
Let j(l) = l**3 - 2*l**2 - 4*l - 1. Let d be j(3). Let h = -374/59 + 1677/944. Calculate the common denominator of (322/63)/(d/(-15)) and h.
48
Calculate the common denominator of (-182)/60 - 2 - -3 and (-92)/(-2)*1/(-35).
210
Let n = 8008/3 - 4933015/1848. Find the common denominator of n and 13/10.
3080
Suppose -2*t - 6 = -5*t. Let p(m) = 2*m**t - 59*m - 1 + 57*m - 3*m**2 - 22*m**3. Calculate the least common multiple of p(-1) and 10.
110
Let q = -127772 + 183225055/1434. Let m = q - 31931/5019. Find the common denominator of -77/48 and m.
336
Calculate the common denominator of (-6)/(-2) - 14/8 and -77/24.
24
Let t = 385 - 781. What is the common denominator of ((t/32)/(-3))/(18/(-4)) and -65/9?
36
Let c = -7046469/3302 - -2134. Let z = 95749/29718 - c. Find the common denominator of z and 38/5.
45
Let z = -2997 + 689309/230. Let h = -1/123934 - 21626023/57009640. Let n = h - z. Find the common denominator of 47/10 and n.
40
Let v = -19617/31894 + 3/431. What is the common denominator of v and 23/2?
74
Suppose 24*v - 21*v + 3 = 0. Calculate the smallest common multiple of 15 + 3 + v + -3 and 24.
168
Suppose -117*b + 124*b - 462 = 0. Calculate the least common multiple of b and 2.
66
Let t = 42 + -77. Let h(o) = -o**3 + 4*o**2 - o + 2. Let i be h(4). What is the common denominator of -61/20 and i/(-22)*t/10?
220
Let k = 944/9 - 290/3. Let v = -2542449/524 + 4852. Let m = -1408/131 + v. Calculate the common denominator of m and k.
36
Let d be (8/(-14))/(10/(-70)). Let a = d + -3. Calculate the common denominator of (1 - (-249)/(-6)) + a and 31/2.
2
Let t be 6/(-21) - (-680)/28. Let v(n) = n**3 - 24*n**2 + n - 14. What is the smallest common multiple of v(t) and 16?
80
Suppose 2*n = -2*n + 462868. Let l = 465087/4 - n. Let o = l - 535. Find the common denominator of o and 37/16.
16
Let r be ((-507)/(-216) - -1) + (-12)/(-4). Let a = r - 13/72. Calculate the common denominator of -9/8 and a.
24
Let f(i) = i**3 + 8