t a = -2 - -4. Calculate the smallest common multiple of (520/390)/(4/198*3) and a.
22
Find the common denominator of -59/150 and ((-5)/(-45))/((-2)/(-381)).
150
Suppose -17*z = -15*z - 72. Calculate the common denominator of -5/18 and (76/(-2)*2/z)/(-1).
18
Suppose 0*r = 3*r + 57. Let g(m) = -m**2 - 19*m + 6. What is the smallest common multiple of g(r) and 16?
48
Suppose 2 = -2*k, -3*v + 6 = v + 2*k. Let i(z) = 3*z**3 - 2*z**2 + 4. Let r be i(v). Calculate the common denominator of -38/9 and (-57)/(-28) + 5/r.
63
Suppose -26 = -2*s + 28. Let i = 45 - s. Let h(o) = -o + 8. Calculate the smallest common multiple of i and h(0).
72
Suppose -12*o + 273 = -483. What is the smallest common multiple of o and 91?
819
Let x be 3*(-1)/(9/231). Find the common denominator of 2/(-2) - (-44)/18 and (-2)/2*(-357)/x.
99
Let m be (186511349*2/(-3))/12. Let p = m + 10357402. Let d = p - -4338. Calculate the common denominator of -93/20 and d.
180
Let w(r) = 25*r**2 + 52*r - 6. What is the lowest common multiple of 21 and w(-3)?
63
Let a = 564 + -84. What is the common denominator of -125/24 and (2/(-7))/(a/5810)?
24
Let h = 2/9057 + -97617/12076. What is the common denominator of h and 19/42?
84
Let a = 803/3 + -264. What is the common denominator of a and (1/4)/(63/728)?
9
Suppose 0 = 3*r - 0 - 12. Let w(n) = n**2 + 6*n - 19. Calculate the least common multiple of r and w(-9).
8
Let n = -7223/4 + 231121/128. What is the common denominator of -39/8 and n?
128
Let m = -1210809/50 - -24217. Calculate the common denominator of m and -1 - -3 - (-98)/(-24).
300
Let o be (-4 - 56/(-12))*(5 - -1). Suppose -o = 4*c, r + 4*c + 124 = 6*r. What is the lowest common multiple of r and 9?
72
Let u be ((-33465)/(-46))/((-6)/(-4) + -1). Let n = -322837/4 - -82148. Let m = u - n. What is the common denominator of -121/6 and m?
12
Suppose -3*f + 58 = 4*i + 2, 4*f = 4*i - 56. Let r(q) = q**2 + 3*q. Calculate the lowest common multiple of r(-4) and i.
28
Suppose v + m - 3 = -0*m, 0 = -5*m + 5. Suppose -l = -h - 6*l + 27, -3*l = -5*h - 5. What is the lowest common multiple of v and h?
2
Let k(o) = o**2 - 16*o - 48. Calculate the smallest common multiple of 144 and k(20).
288
Let g be (1/(-6))/((-1235)/(-340) + -5). Let d = -773/186 - g. Calculate the common denominator of d and 167/30.
90
Suppose 0 = 2*o - 6 - 12. Let p = 21 - 19. Suppose 4*h = p*g + 16, h - 11 = -3*g - 0. What is the smallest common multiple of o and h?
45
Find the common denominator of -37/3 and 7472/448 + (-33)/(-21) + -2.
12
Suppose -3*b + b = 2*n - 40, 3*n = 3*b + 36. What is the smallest common multiple of n and 14?
112
Let j be 2/(116/(-124) + 1). Let v = 25 - j. Let u(w) = w + 16. What is the smallest common multiple of u(v) and 5?
10
Let f = 27/38 + -85/494. Calculate the common denominator of ((-10)/(-15))/((-16)/27) and f.
104
Let h = -25500 + 2141929/84. What is the common denominator of h and 97/4?
84
Let y = -874 - -929. What is the smallest common multiple of y and 10?
110
Let r = -751 - -763. What is the smallest common multiple of 12 and r?
12
Let n = 2 + -47/15. Find the common denominator of n and -71/18.
90
Let o be (-4)/(-3)*(-15)/(-10). Suppose 2*b + 0*s + o*s = 34, 5*b + s - 89 = 0. Calculate the lowest common multiple of b and 33.
198
Let f = 117 + -57. Calculate the least common multiple of f and 54.
540
Let b = 54 + -79. Let x be 6/((-30)/b) + -3. Suppose -x*t + 5*t - 21 = 0. Calculate the lowest common multiple of 1 and t.
7
Let v be -4 + -2 + 15295/60. Let a = 250 - v. Let o = -13/43 - 593/172. Calculate the common denominator of a and o.
12
Let v(g) = 7*g + 2*g**2 + 4*g - 15*g - 4. What is the least common multiple of 16 and v(4)?
48
Let y be ((-335)/(-2))/(90540/1095). Let q = y + 8/503. Calculate the common denominator of q and -62/21.
168
Let q(u) = u - 5. Let n(w) be the third derivative of w**4/12 - 2*w**3 + 2*w**2. Let z be n(9). What is the smallest common multiple of q(z) and 3?
3
Suppose 61*x - 306 = 182. What is the smallest common multiple of 252 and x?
504
Let n = -57 + 75. Suppose -9*s = -6*s - n. Suppose 2*w + 2*w - 48 = 0. What is the smallest common multiple of w and s?
12
Let q = 2 - 41. Let h = q + 48. What is the smallest common multiple of h and (4/3)/(2/15)?
90
Let s be (-12)/(-15) - (-12374)/(-80). Let v = 443 + -293. Let a = s + v. What is the common denominator of a and 21/5?
40
Suppose 0 = 5*j - 112 + 12. Let q = j + -11. Suppose -2*w + 10 + 18 = -4*t, 3*w + 5*t - q = 0. What is the least common multiple of 16 and w?
16
Let h = -9871835/96 - -102833. Calculate the common denominator of h and -59/16.
96
Let r be (-290)/(-22) + 28/(-154). Calculate the common denominator of (-9)/792*(1 + r) and -39/10.
220
Calculate the lowest common multiple of ((-162)/45)/(3/(-10)) and 122.
732
What is the common denominator of 274/12 + (-2)/4 and 27/32?
96
Let c = -1204 + 1666. Calculate the smallest common multiple of c and 24.
1848
What is the common denominator of (212/16)/(42/(-4)) and 5/(-6)*(2 - 155/40)?
336
Let k = -47689/13 - -3666. Calculate the common denominator of k and (-2 - 11)/((-98)/42).
91
Let p(g) = 12*g + 2. Let y be p(1). Let n = y - -4. What is the smallest common multiple of n and 2?
18
Suppose 2*k + 2*v - 3*v = 27, k - 4*v - 10 = 0. What is the lowest common multiple of 12 and k?
84
Let l = 28 + -22. Let h = -3 + 5. Let u(x) = 5*x - 1. What is the lowest common multiple of u(h) and l?
18
Let k(s) = -47*s**2 + s. Let z be k(-1). Let p be -3 - z/(-1 - 3). What is the smallest common multiple of 30 and 36/p*(-10)/3?
120
Let r = 20 - 14. Let g = -470 + 509. Calculate the least common multiple of g and r.
78
Suppose 9*r - 66 = 10*r. Find the common denominator of (3/(-40))/(-1)*r/(-9) and -61/4.
20
Suppose -5*w + 3 = -4*w. Suppose 5*d + 0*q = q + 7, -5*d = q - w. What is the least common multiple of 2 and d?
2
What is the lowest common multiple of 9 and (-1)/(-3) - (-5 + (-308)/12)?
279
Suppose -576 = -17*f + 11*f. What is the least common multiple of f and 88?
1056
Let p(j) = j**3 + 6*j**2 - 8*j. Suppose -9*n + 7*n = 0. Suppose n = 7*l - 0 + 49. Calculate the smallest common multiple of 8 and p(l).
56
Suppose 19 = o + 3*i, 0 = -o + 6*o + 3*i - 107. What is the least common multiple of 32 and (-4)/(-7) + o*(-50)/(-35)?
32
Suppose -1 - 9 = -5*m. Suppose 36 = 5*w + 96. Calculate the least common multiple of (w + 9)*8/(-6) and m.
4
Let u(g) = 2*g + 10. Let s be u(-10). Let r(j) = -3*j - 27. Calculate the smallest common multiple of 8 and r(s).
24
Suppose 0 = -a + 4*w - 7*w + 6376, -5*a - 3*w + 31868 = 0. Let q = 114563/18 - a. What is the common denominator of -58/3 and q?
18
Let d = 80/4737 - 364453/2226390. What is the common denominator of -71/2 and d?
470
Suppose 2*g + 115 = -3*g. Let i = g + 28. Calculate the lowest common multiple of i and 1.
5
Let s(m) = -m**3 + 14*m**2 + 18*m + 3. Let t be s(15). What is the common denominator of -19/20 and (38/95)/(t/1010)?
60
Let t = -8397/16 - -527. What is the common denominator of 0/(-1) - (-294)/(-240) and t?
80
Let m = 12821/4 + -3190. Find the common denominator of m and 2/15.
60
Let h(d) = 2*d**3 + 91*d**2 - 44*d + 94. Let u(t) be the third derivative of 7*t**4/24 - t**3/6 + t**2. Calculate the lowest common multiple of h(-46) and u(1).
6
Let n be -2 - -1 - (-673952)/(-504). Let w = n + 4013/3. Find the common denominator of w and -145/24.
504
Suppose 2*f - 6 = 2*b, f = -2*b - 0*b. Suppose -22 = f*v - 88. Calculate the lowest common multiple of 27 and v.
297
Let v(p) = -3*p**2 - 6*p + 11. Let d(s) = 16*s**2 + 31*s - 56. Let q(g) = -2*d(g) - 11*v(g). Calculate the lowest common multiple of 1 and q(-6).
3
Let q(l) = 4*l + 2. Let f be q(2). Let i be (14/49)/(1/35). Suppose -5*g + i = -f. What is the least common multiple of 8 and g?
8
Let o be (1/3)/((-2)/36). Let c = 120143/28 + -4290. What is the common denominator of 138/14*o*56/(-192) and c?
28
Let n = -168351/164 - 715/82. Let h = n + 24817/24. Calculate the common denominator of (-2)/(-6)*123/(9 + -8 + 3) and h.
24
Let q be (-412)/136 + (-9)/(-3). Let g = -297/17 + q. What is the common denominator of -143/18 and g?
18
Let g(l) = -3*l - 8. What is the common denominator of -7 + (-65)/6 + 2 and g(6)?
6
Let q = -268044 + 284126609/1060. Let f = -12071/318