16
Suppose 190 = 5*z - 4*d, 154 + 24 = 4*z + 2*d. Calculate the lowest common multiple of z and 3.
42
What is the common denominator of -19/7 and (2 - -2) + (-395)/(-50)?
70
Suppose 2*d = -6, -3*d = 5*b - 2*d - 27. What is the smallest common multiple of 10 and 104/b - 12/(-18)?
90
Suppose -i + 4*i + 5*h = 22, -5*h = 20. Suppose -6*g = -25 - 95. What is the smallest common multiple of i and g?
140
Suppose 3*d = 7*d - 24. Let t = d + 6. Calculate the least common multiple of t and 22.
132
Suppose -2*u - o - 5 = -3*u, 5*u + 5*o = -15. Let x = 0 + 1. Calculate the lowest common multiple of u and x.
1
Let k = 2142031/560 + -158226/35. Let w = 1502 + -808. Let b = k + w. Find the common denominator of b and -89/20.
80
Let f = -2 - -6. Suppose -n = 4*m - 0*n - 5, -4*n + 4 = 0. What is the lowest common multiple of f and m?
4
Let d = 7365/8 + -919. Find the common denominator of d and ((-30)/(-16))/(54/(-600)).
24
Let i be (0 - -8) + (0 - 2). Find the common denominator of 109/12 and (-61)/i + (4 - 7).
12
Let a(k) = k + 9. Suppose 3*l = -h + l + 1, 43 = -5*h + 2*l. What is the least common multiple of 5 and a(h)?
10
Calculate the common denominator of 4 + (2/12)/((-38)/(-779)) and 125/24.
24
Let o(f) = f + 10. Calculate the smallest common multiple of 4 and o(-6).
4
Let q = -4929/944 - -2/59. Let t = 182345847478423479/160780 + -1134132650065. Let x = 3/8039 - t. Find the common denominator of x and q.
80
Let s = 13730 - 9153. Let z = s - 31984/7. Find the common denominator of 26/11 and z.
77
Let u(o) = -o**2 - 7*o. Let d be 1/(75/39 - 2). Let b = 23 + d. What is the smallest common multiple of u(-6) and b?
30
What is the lowest common multiple of (1 - 3) + (-10)/(-2) and (-4)/10 + (-114)/(-10)?
33
Suppose 12 = 3*f - 12. Calculate the lowest common multiple of f and 6.
24
Suppose -4*h = 4*r - 60, -2*r = -5*h + 102 - 6. Let x = 32 + -22. What is the lowest common multiple of x and h?
90
Suppose 0 = 2*h - 2 - 0. Calculate the lowest common multiple of h and 1.
1
Let u be (63/6)/(3/72). Suppose -5*k + l + 0*l = -u, -k + 58 = -4*l. What is the common denominator of (-194)/(-63) - 8/36 and k?
7
Suppose 5*j + 18 = -2. Calculate the common denominator of (2/(-40))/((-2)/232) and 79/14 + 2/j.
35
Find the common denominator of (-10)/(-4)*(-22)/99 and -23/18.
18
Let i be (1 - 3) + 58/(-2). Let n be (i/10)/((-12)/(-43210)). Let g = 11169 + n. What is the common denominator of g and 49/22?
132
Let y(f) = -f + 3 - 2*f**2 - 6*f + f**2. Let q(w) = -9*w + 147. Calculate the least common multiple of q(16) and y(-6).
9
Suppose 0*l + l = 4*y + 23, -27 = -l + 5*y. What is the least common multiple of 7 and l?
7
What is the smallest common multiple of (-2 + -1)*(-64)/12 and 10?
80
What is the lowest common multiple of 6 and 55*(-2 - (-36)/15)?
66
Let i(z) = z. Let k be i(3). Suppose -7 = k*t - 1. What is the lowest common multiple of 10 and (24/(-14))/(t/21)?
90
Let z be 132/(-21) + (-2)/(-7). Let q(n) = -n**3 - 6*n**2 - 3*n + 4. Calculate the least common multiple of q(z) and 20.
220
Let b = -5 + 7. Suppose 4*u + 2*c - 4 = -b*c, -4*c = 2*u. Suppose 5 = a + 2. Calculate the least common multiple of u and a.
6
Suppose 4*z + w = 65 - 12, 0 = -z + 2*w + 2. Calculate the least common multiple of z and 16.
48
Let l = -100 - -154. Calculate the least common multiple of ((-36)/27)/((-4)/l) and 1.
18
Let r(u) = -u**2 - 4*u + 4. Let n be r(-5). Find the common denominator of n/2 - (-194)/32 and -61/18.
144
Suppose 2*n - 16 = n - 2*r, 35 = 2*n + 3*r. What is the smallest common multiple of n and 18?
198
Let s = 25796/9 - 2869. Find the common denominator of 16/7 and s.
63
Let p be (-3558)/(-2) + 5 + -4. Calculate the common denominator of (4/(-30))/((-16)/p) and 79/10.
30
Let p be 3/(-1) + 4814/40. Let v = 118 - p. Let q = 39/227 + -14471/3632. Calculate the common denominator of v and q.
80
Suppose 3*u - 5*b - 54 = u, 0 = -2*b. Let a be 6/u + (-1147359)/701514. Let i = a - -5/1181. What is the common denominator of 35/2 and i?
22
Let k be 3 + ((-6)/(-3) - 1). Let s = -5 + k. Let b(l) = 21*l**2 + 1. Calculate the least common multiple of 10 and b(s).
110
Find the common denominator of 51/(-5) - 36/24 and -59/20.
20
Let l(j) = j**2 - 5*j + 6. Let m be l(4). Suppose -m*k - 114 = -5*q, 5*q - 4*q - 20 = -k. Calculate the least common multiple of 10 and q.
110
Let i = -1080/113 + -247733/339. Let a = -44189/60 - i. Let g = 2/3 - 25/42. What is the common denominator of a and g?
140
Calculate the common denominator of 10/75 - (-149)/(-30) and ((-1)/(-4)*33)/6.
24
Find the common denominator of -26/5 and (-8)/(-9)*(-450)/(-24).
15
Suppose 4*z - 1894 = -3*h + 5*h, 2*z + 5*h = 929. What is the smallest common multiple of z and 22?
5192
Suppose -16 - 16 = -2*t. What is the least common multiple of 14 and t?
112
Let m be 2/10*1822/(-80). Let q = m - -42/25. What is the common denominator of q and 1/8?
8
Suppose -8*j = -11*j + 30. What is the lowest common multiple of 2 and j?
10
Let c = 2219529/290402 - 2/20743. Let b = 12/733 - -43055/11728. Calculate the common denominator of b and c.
112
Let g = 5 + -3. Suppose 11 + 13 = g*c. What is the least common multiple of c and 10?
60
Let t = 1 - -11. Suppose p = 2 - 0. Suppose x + 5*m - 14 = 0, 4*x = 5*m - p*m + 10. What is the lowest common multiple of t and x?
12
Calculate the smallest common multiple of 66 and 6*((-8)/12 - -1).
66
Let s = -29525/16 - -1839. Find the common denominator of 31/14 and s.
112
Let g = -7220/143 + -3/286. Let k = 1746155 - 69841867/40. Let r = 556/5 - k. Calculate the common denominator of g and r.
8
Let r be (0 - 3)/3 - -3. What is the common denominator of (-340)/(-32) - 2/r and 121/12?
24
Let q(p) = 2197*p. Let r be q(-1). Let j be (-10941)/(-2)*(-6)/15. Let f = j - r. Find the common denominator of 113/10 and f.
10
Suppose 3*q - 220 = -2*q. Calculate the common denominator of 1 - q/(-32) - 2 and 1/4.
8
Let m(y) = y. Let l(g) = -g - 4. Let o(u) = l(u) + 4*m(u). Suppose -s + 2*i + 12 = 2*s, -2*s + 8 = i. Calculate the smallest common multiple of o(3) and s.
20
Let i = -2 + 11. Suppose -7*h + 4*h = -i. What is the least common multiple of 11 and h?
33
Suppose 36 = 2*a - 20. Calculate the common denominator of -21/22 and (-59)/a*(-2 - 0).
154
Find the common denominator of -1*((1 - -3) + -29) and -62/3.
3
Let o be 36222/(-48168) + (-3)/(-4). Let y = -54101/44154 + o. What is the common denominator of y and -151/6?
66
Let t = 29/8 + -249/40. Calculate the common denominator of t and -43/8.
40
Find the common denominator of -73/9 and 13/(-63) - 2/9.
63
Let g(r) = r**2 + 11*r + 6. Let q be g(-10). Let b = q - 4. Let o = 4 - b. What is the least common multiple of o and 16?
48
Let r = -3543/10 - -354. Let t = 601/16 + -35. Calculate the common denominator of t and r.
80
Let x(t) = -t**3 + 10*t**2 - 12*t. Let w be x(8). Find the common denominator of (6/w)/((-6)/(-332)) and 107/10.
40
Let k be (3/(-2))/(6/(-8)). Suppose -u = u, -8 = -k*v + 5*u. Calculate the least common multiple of 6 and v.
12
Calculate the common denominator of 57/2 and (-132)/8*33/(-90).
20
Let q(a) = 4*a - 30. Let g(v) = -3*v + 20. Let f(h) = 7*g(h) + 5*q(h). What is the lowest common multiple of 4 and f(-14)?
4
Let j = -41/145 + -18749/870. What is the common denominator of j and -9/2?
6
Let q(l) = l - 3. Let d be q(6). Suppose 0 = -d*p, -3*g + p = -0*p - 18. Calculate the common denominator of -87/2 and -2 + -2 + (-213)/g.
2
Let i(s) = 1 - 1 + s**2 - 4 + s. What is the lowest common multiple of i(3) and 5?
40
Suppose -3*y - 3 = 6. Let q be -1 + 20 - (-3)/y. Let v = 40 - q. Calculate the smallest common multiple of v and 6.
66
Suppose -5*n = -15, z - n + 1 = -0. Calculate the smallest common multiple of 4 and z.
4
Suppose -2*w + 1041 = w. Let f = 3131/9 - w. Find the common denominator of f and -113/6.
18
Suppose -3*n - 8 - 1 = 0, -2*u + n = -47. Let g(t) = t**3 + 5*t**2 + 3*t + 3. Calculate the least common multiple of u and g(-3).
132
Suppose 9*t = 4*t. Suppose -4 = x - 2*p - 18, 4*x + 5*p - 4 = t. What is the lowest common multiple of 5 and x?
30
Let v = 2467/63 + -320/7. Find the common denominator of v and 5/11.
99
Let o(l) = 8*l**2 + 3*l + 2. Let r be o(-2). Let x = 54781/6 - 9150. Find the common denominator of r - (1/2)/1 and x.
6
Let a(