i = 2091/490 - -31/49. Find the common denominator of -101/758 and i.
3790
Let g = -2061167/42 - -49073. What is the common denominator of 53/14 and g?
42
Let g(r) = -14*r**2 - 6*r - 10. Let c be g(-4). Let t = -26759/14 + 1907. What is the common denominator of t and ((-9)/8)/(c/(-40))?
14
Let k(m) = m**2 - 22. Suppose 2*b - 144 - 8 = 0. Calculate the smallest common multiple of b and k(6).
532
Let t = -23091 + 92899/4. Let y = 1159/8 - t. Calculate the common denominator of y and -33/10.
40
What is the lowest common multiple of 45 and 15*(8/6)/4?
45
Suppose k - 5*o - 17 = 0, -k + 3*o + 0*o = -21. Suppose -5*r + k = -3*j, -j - 4*r + 20 = -3*j. Let n = j - -11. What is the least common multiple of n and 12?
84
Let o = 35608/9 + -3951. Calculate the common denominator of o and 17/2.
18
Suppose 56 = -2*o - 2*o. Let k = o - -13. Find the common denominator of 45/2 and 3/k*92/(-48).
4
Let t(c) = 2*c**2 + 13*c - 14. What is the lowest common multiple of t(-8) and 176?
880
Let w = 109 - 113. Calculate the common denominator of 75*(-1 - 58/(-54)) and -2 - 154/w - (-1 - 1).
18
Let v(j) = -j**3 - 9*j**2 - j + 7. Let q be v(-9). Suppose -4*p + 5*x + 10 = -3*p, 0 = 3*p - x - q. Calculate the smallest common multiple of p and 22.
110
Let l(b) = -b**2 + 5*b - 2. Calculate the lowest common multiple of 22 and l(3).
44
Let a = -46973 + 4744227/101. Find the common denominator of a and 65/6.
606
Let h(z) = -3*z**2 + 47*z - 10. Let b be h(15). Let q = 0 + b. Calculate the smallest common multiple of q and 10.
20
Suppose -2*d - 4*r = 8227 + 2859, -4*r - 5539 = d. Let x = -55401/10 - d. Calculate the common denominator of x and -37/22.
110
Let s be 2434838/455080 - (2 + -1). Let b = s - 4/11377. Calculate the common denominator of 0/(-3) - (-210)/(-44) and b.
220
Suppose -2*j = w - 23, j + 0*w - 34 = -5*w. Let t = j - 4. Let n(q) = 3*q + 7. Calculate the least common multiple of n(t) and 2.
22
What is the lowest common multiple of 18*((-215)/(-15) + (5 - 10)) and 119?
2856
Let c(f) = -2*f**3 - f**2 + 4*f + 10. Suppose 12 = -3*g, -9*m - 3*g - 22 = -4*m. What is the least common multiple of c(m) and 2?
14
Let y(m) = 7 - 7*m + m - 2 - 2*m**2 - 3*m. Let j be y(-7). What is the common denominator of (-6)/2*(-17)/j and 17/2?
10
Calculate the smallest common multiple of 112 and 14/49 - (-2 + (-82)/7).
112
Calculate the smallest common multiple of 7/1 + (50 - 42) and 48.
240
Let f(i) = -10*i + 5. What is the least common multiple of 10 and f(-2)?
50
Let c(f) = 2*f - 8*f + 7*f + 14 - 3*f. Calculate the smallest common multiple of c(-9) and 20.
160
Suppose n = 0, 5*n + 675 = 11*o - 6*o. Calculate the lowest common multiple of 45 and o.
135
Let b(r) = -17054*r**3 - 16*r**2 + r + 17. Let o be b(12). Let j = -530817733/18 - o. Let n = -18295 - j. Calculate the common denominator of 53/22 and n.
198
Let w(g) = 9*g + 29. What is the least common multiple of (-4)/(-14) + (-624)/(-21) and w(-3)?
30
Let a(z) = 16*z - 1. Let v be a(13). What is the smallest common multiple of 4 and v/(-12)*(-12)/9?
92
Suppose 18 = 5*r - 12. Let l = -4/35 - -1/315. Find the common denominator of l and ((-6)/22)/((-9)/r).
99
Suppose -3*d + 57 = t - 2*t, 0 = -5*d + 2*t + 96. What is the lowest common multiple of d and 0 + (4 - 10) + 8?
18
Let k(g) = 2*g + 8. Let f be k(3). What is the least common multiple of (-21)/f - (-7)/2 and 5?
10
Suppose 0 = -2*n - 2*x + 6*x + 118, -n - 3*x = -74. Suppose -2*i - 2*b - b + 25 = 0, 5*b = -5*i + n. What is the least common multiple of 6 and i?
42
Let k(v) = v**3 - 10*v**2. Let o be k(10). Suppose -9 = -o*r - r. Calculate the smallest common multiple of 8 and r.
72
Let a(x) be the third derivative of x**6/120 + x**5/12 + 5*x**4/24 - 7*x**3/6 - 10*x**2. Calculate the common denominator of -38/51 and a(-3).
51
Suppose -13*m = 12 - 714. What is the smallest common multiple of m and 2?
54
Suppose -4*p + u = -u - 18, -4*p + 28 = -4*u. Suppose 3*s - r + 502 = 0, p*s + 122 = -4*r - 194. Calculate the common denominator of 59/20 and 18/594*s/4.
660
Let k = -486/25 + 4957/300. Find the common denominator of (-1 - 4) + (-178)/(-16) and k.
24
Let t = -9 - -15. Calculate the smallest common multiple of t and 16 + 8/(-2) + 0.
12
Let n(x) = -x**3 + 2*x**2 + 2*x + 280. Let g be n(0). Suppose 22*f - g = 12*f. Calculate the smallest common multiple of f and 18.
252
Let t = -180845/7554948 + 1/10596. Let p = t - 83183/9982. Find the common denominator of ((-2)/16*-6)/(18/(-172)) and p.
42
Let z be ((-4)/10)/(13/(-65)). Suppose 0 = -4*v - 3*w + 8209, -3*v - z*v + 10275 = w. Let m = v + -8185/4. What is the common denominator of m and -31/4?
4
Let g(t) = t**3 + 12*t**2 - 2. Let n be g(-12). What is the common denominator of 3 + n + 27/(-2) and -17/24?
24
Find the common denominator of (3/(-30))/((567/(-954))/7) and -79/90.
90
Let r(y) = 3*y + 10. Let u be r(-2). Suppose -3*v - 29 = -u*k - 137, -2*v + 4*k = -68. What is the lowest common multiple of 40 and v?
40
What is the smallest common multiple of 40 and 4 - (6 + -10) - -4?
120
Let o = -87 - -136. Calculate the lowest common multiple of o and 63.
441
Let r be 82/(((-70)/165)/7). Let p = -10883/8 - r. Find the common denominator of p and 103/12.
24
Suppose 2*t - 16 = -0. Let c = 1543 - 4664/3. What is the common denominator of (-91)/t*4/3 and c?
6
Suppose -3*k = -4*t + 2*t - 118, 2*t = -k + 42. What is the least common multiple of 18 and k/22 + (-6)/(-33)?
18
Suppose 0 = 20*q + 9*q - 2262. Calculate the least common multiple of q and 12.
156
What is the common denominator of -28/59 and ((-125)/35 - -4) + (-225)/(-14)?
118
Let v(n) = -3*n + 4. What is the smallest common multiple of v(-7) and 60?
300
Suppose -40*z + 37*z = 30. Suppose 5*b - 2*l - 38 = -6, 2*l + 26 = 4*b. What is the lowest common multiple of b and -16*(-1 - 5/z)?
24
Let n be 8/(-6)*369/(-6). What is the common denominator of -61/24 and ((-39)/(-52))/(27/n)?
72
Let g = -220 + 140. Calculate the least common multiple of 6 and 96/g*(-5)/2.
6
Let p(l) = 4*l**2 + 3*l - 4. Let t be p(2). Calculate the least common multiple of (-20)/(-110) + t/22 and 10.
10
Let n = 141859086501/16347568 + -3/4086892. Let d = -8672 + n. Find the common denominator of -79/4 and d.
16
Suppose 13*b - 17*b - 256 = 0. Calculate the smallest common multiple of 8 and (b/6)/((-16)/120).
80
Let n = -382447/85 + 4500. Calculate the common denominator of n and (-16)/(-22)*13/(-2).
935
Suppose y + 2*g - 69 = -26, -5*g + 58 = y. Calculate the smallest common multiple of 6 and y.
66
Let l = 1197 - 8397/7. Let a = l - -389/154. What is the common denominator of a and 43/18?
198
Let c(q) = -q + 5. Suppose 0 = -6*s + 4*s + 28. Suppose 30 = -s*r + 12*r. Calculate the least common multiple of c(r) and 3.
60
Let g(w) = -2*w. What is the lowest common multiple of g(-1) and 0 - -1*(1 + 1)?
2
Suppose 0 = c + o, -5 + 1 = -5*c - 3*o. Suppose 0 = c*h + 11 - 33. Let x = -3 + 5. What is the smallest common multiple of h and x?
22
Suppose 0 = -118*q + 10616 + 4960. What is the smallest common multiple of q and 60?
660
What is the common denominator of (-98)/392*(-136)/(-11) and 44?
11
Let o(c) be the first derivative of -c**4/4 + 8*c**3/3 + 9*c**2/2 + 8. Let t be o(9). Suppose t*s - 4*s = -16. Calculate the least common multiple of s and 20.
20
Let p = 61 - 19. Suppose -4*q = -p - 38. Suppose 5*z - 5*x - 27 = 18, 0 = 2*z + 4*x. Calculate the smallest common multiple of z and q.
60
Let q be 152/(-4693)*2/(-8). Let t = q + -7169/741. Calculate the common denominator of t and 35/3.
3
Let x be (3/50)/((-1)/2). Let l = -259/50 + x. Let z = -988/889 + -4/127. Find the common denominator of z and l.
70
Let v = -156/253 + 20489/60720. What is the common denominator of v and -53/16?
240
Let c = -117/2 - -161/3. Calculate the common denominator of c and 1/2*488/(-108).
54
Let y(f) = -31*f**3 - 4*f**2 - 4*f - 1. Calculate the least common multiple of 390 and y(-1).
390
Let m = 1331/476 + 10/1071. Find the common denominator of 13/68 and m.
612
What is the common denominator of ((-117)/6)/(-13) - (-241)/(-246) and 25/9?
369
Suppose -154 = -3*l - 2*u - 875, 4*u + 1205 = -5*l. Calculate the common denominator of 5/((-400)/(-308)) - 0 and l/(-108) - 2/8.
180
Calculate the common denominator of (-7)/35 - 10/(-25) and 40.
5
Let b(q