q. What is the common denominator of -4/5 and x?
5
Let v be (1 + 1)/(-5 - (-4 + 1)). Find the common denominator of (v*1)/((-12)/380*-5) and 21/8.
24
Suppose 2*h + d = 274 + 24, 0 = -5*h - 4*d + 748. Suppose 0 = i + 3*i - h. Let k = i - 19. What is the least common multiple of k and 20?
180
Let g(b) = -b**2 - 6*b + 1. Let i be g(-7). Let w(z) = -z**2 + z + 2. Let o be w(i). What is the common denominator of -33/16 and 1 - -1 - (-18)/o?
80
Let u = 1 + 15. Let m(k) = -k**3 - 7*k**2 - 6*k + 2. Suppose 0 = t + 2*g + 8, 4*t + 3 = g - 20. Calculate the lowest common multiple of m(t) and u.
16
Let c = -84 + 84. Let o = -90/71 + 9557/426. Calculate the common denominator of o and (-27)/(-84)*-26 + c + 0.
42
Let f be (-37)/3 - 8/(-6). Let l = 8 + f. What is the common denominator of -4 - (63/2 - l) and -79/4?
4
Let g = -63/82 - -2185/656. What is the common denominator of g and 753/(-60) + 3/12?
80
Let a be (-82)/12 + -2 - 2/12. Let u(j) = -3*j + 3. What is the smallest common multiple of 12 and u(a)?
60
Let p = -38480 - -3463237/90. What is the common denominator of p and 113/66?
990
Let c(x) = 43*x**2 - 8*x + 4. Let w be c(2). What is the common denominator of 2/4*4/w*-218 and 37/10?
40
Calculate the smallest common multiple of 12 and (19 + (4 - -1))*5.
120
Let k = 105 + -89. Let v(x) = -2*x + 6. Calculate the lowest common multiple of k and v(-6).
144
Let v = 8/45 + -5/18. What is the common denominator of v and (-30)/216*22 + 15/(-5)?
90
Let n = -88 - -51. Let s = n - -41. Suppose -3*p + 3*f = -f - 9, 2*p + 5*f - 29 = 0. What is the least common multiple of p and s?
28
Let a be (-10)/3*(-30)/(-4). Let g = -15 - a. Suppose 5*t + 6*i = i + 40, 4*t - 33 = -3*i. Calculate the lowest common multiple of t and g.
90
Calculate the common denominator of -95/8 and (426/472)/((-78)/12 - -5).
472
Suppose -c + 2*z + 25 = 0, -139 = -5*c + 2*z - 6*z. Find the common denominator of -1 - (189/2)/(-3) and (-402)/(-16)*((-99)/c + 4).
8
Let p be ((-1)/1)/2*(9 - 15). Suppose p*r = 4*r - 2. Suppose 31 = 4*x - 9. Calculate the lowest common multiple of x and r.
10
Let z = 375 - 252. What is the least common multiple of 10 and z?
1230
Suppose -3*v = -3*p - 996, -5*v - 1660 = -10*v + 4*p. Calculate the least common multiple of v and 12.
996
Let j(s) = s**2 - 7*s + 6. Let x be j(4). Let p be (-762)/(-36) + 1/x. Let n = -8 + p. Calculate the least common multiple of 9 and n.
117
Let i = -52 + 32. Let n = i + 32. Calculate the smallest common multiple of n and -2*-1*(-1 + 2).
12
Suppose -8 = -2*r - 2. Suppose r*i - 10 = -2*i. Calculate the smallest common multiple of i and 8.
8
Calculate the common denominator of (-10)/1*153/216 and 23/6.
12
Let f = -10067/958 - -4/479. What is the common denominator of f and 46/41?
82
Let s = -1770 + 864. Let g = s + 1851/2. Let w = -2/1891 + 94568/17019. Find the common denominator of w and g.
18
Suppose 3*z + 1338 = 3*l, 2*l = z - 6*z + 906. Let w be l/77 + (-4)/(-22). Suppose -8*a + 22 = -w*a. Calculate the smallest common multiple of a and 3.
33
What is the common denominator of ((-2)/((-42)/23))/1 and ((-2)/(4/(-61)))/(45*(-42)/140)?
189
Suppose n + 5 = 1. What is the lowest common multiple of (-4)/(-10) + 28/5 and 162/8 + 1/n?
60
Let r = 5 - 5. Suppose -2*t + 6 = -r. Let m = 22 + -16. Calculate the lowest common multiple of m and t.
6
Suppose 2*i = 4*o - 22, o + 96 - 91 = 4*i. Suppose 3*p - 25 = 29. Calculate the lowest common multiple of o and p.
126
Suppose -2*x = -5*k + 4*k, -x + 4 = 0. Calculate the smallest common multiple of k and 20.
40
Calculate the common denominator of 73/36 and ((49/(-486))/7)/(39/(-117)).
324
Let t = -16 - -10. Suppose 5 = -2*z - 3*i - 15, z = -2*i - 10. Calculate the smallest common multiple of 22 and (-166)/z - t/(-10).
176
Let v(k) = -3*k**2 + 4*k - 8. Let g(y) = y**2 + y + 1. Let p(d) = -4*g(d) - v(d). Let f = -4 + 14. What is the smallest common multiple of f and p(-8)?
20
Suppose i - 1 = 1418. Let r = i + -847. What is the common denominator of r/120 - 2/12 and -83/18?
90
Suppose 5*c - 7 = 4*c. Let j = -1 - c. Let l(r) = r + 10. Calculate the lowest common multiple of l(j) and 4.
4
Suppose -92 = -3*o + 4*d - 0*d, 0 = 2*d - 8. Let x = -1047 + 1063. What is the lowest common multiple of o and x?
144
What is the common denominator of (-24)/(-120) - 654/6270 and -35/38?
418
Suppose 0 = 4*z - 4*r - 80, 0 = -r - 2*r. Let i = 1 + 1. What is the common denominator of (i/z)/((-4)/246) and 11/18?
180
Let d be (-33)/6 - (-2)/(-4). Let n = -92 - -114. What is the least common multiple of n and (-2 - 5)*d + 0?
462
Let n(q) = -q**3 + 5*q**2 - 8*q + 5. Let b be n(5). Find the common denominator of -9/8 and 12/(-30) - 211*(-1)/b.
56
Let j(i) = -2*i - 15. Let n be j(-9). Let t = 58 + -23. What is the common denominator of (n*-1)/((-4)/8) and t?
1
Let z = 74 - -16. Suppose -6*v = -8*v + z. Calculate the lowest common multiple of 4/10 - (-252)/v and 8.
24
Let b = 2710 - 170776/63. What is the common denominator of b and -44/3?
63
Find the common denominator of 23/55 and ((-7)/91)/(5/(-161)) + -2.
715
Let k be (-9493)/(-10) - (-2)/10. Let g = 929 - k. What is the common denominator of -57/4 and g?
4
Suppose 0 = -5*o - 106*c + 102*c + 18, c = -3. Calculate the lowest common multiple of o and 168.
168
Suppose 0 = -2*a, 0*a - 87 = -c - 2*a. Suppose 0 = 4*o + 2*n - 80, -n = 4*o - c + 9. Calculate the common denominator of -1/10 and o.
10
Suppose -32*k = -34*k + 110. What is the least common multiple of 3 and k?
165
Let f = -89655163/36 - -2490176. Let x = -973/4 - f. What is the common denominator of 101/68 and x?
612
What is the lowest common multiple of (3 - (-9 - 93)) + -12 and 341?
1023
Calculate the common denominator of 8/(-1) - (-1725)/350 and 19/20.
140
Let q(c) = c**2 - 4*c + 4. Let s be q(8). Let n = -20041/8 + 2509. Calculate the common denominator of n and 606/8*8/s.
24
Let m(y) = 36*y + 892. What is the lowest common multiple of m(0) and 28?
6244
What is the lowest common multiple of (5 + -5 + 16)*5/20 and (-3)/((-13)/10 - -1)?
20
Let k = -695 - -709. What is the smallest common multiple of k and (-2)/(-7) + (-110)/(-7)?
112
Suppose -22 = 2*t - 18. Suppose -z + 26 - 6 = 0. What is the least common multiple of 22*(1 - 2 - t) and z?
220
Suppose -2*w = -3*r - 565, 2*r - 888 - 534 = -5*w. Calculate the least common multiple of w and 22.
3124
Let t(z) be the first derivative of z**3 - z**2 + 3*z + 9. Calculate the lowest common multiple of t(2) and -2 - 0 - 6/(-2).
11
Let n = -29045 + 1307114/45. Calculate the common denominator of -38/21 and n.
315
Suppose -5*q + 3*q - 22 = 0. Let x = q - -15. Calculate the lowest common multiple of 16 and x.
16
Let g be (1925/(-20))/((-3)/(-12)). Suppose 20 = -4*r, -4*t - 2*r + 6*r = -28. Calculate the least common multiple of g/(-20) - t/8 and 1.
19
Suppose 3*t - 10 = 3*z + 14, 0 = -3*z + 6. Let g = t + -8. Calculate the least common multiple of 10 and (g + 1)/((-6)/(-32)).
80
Let w(v) be the second derivative of v**5/20 + 7*v**4/12 - v**3/3 - 3*v**2/2 + v. What is the lowest common multiple of w(-7) and 10?
110
Calculate the common denominator of 9/81*-69 - -3 and 67/246.
246
Let n = -32 - -34. Suppose n = h - 2*r - 10, -4*h + 83 = -r. Calculate the lowest common multiple of 38 and h.
418
Suppose 6 = s - 16. Calculate the smallest common multiple of -6*(-2 - -3 - 3) and s.
132
Let y be 1/(-2)*-2*-2495. Let o = 4828325 + -96516697/20. Let v = o + y. Find the common denominator of v and 145/6.
60
Suppose -8*j + 190 = 14. Calculate the smallest common multiple of 282 and j.
3102
Let t = 1616184 - 19172347/12. Let z = t - 18499. Let x = 3671 - 65951/18. Calculate the common denominator of x and z.
36
Let s = -12 + 7. Calculate the least common multiple of 70 and (-14)/s*(1 + 4).
70
Calculate the least common multiple of (33/(-2))/((-12)/24) and (-3 - (-4 - -2))/((-6)/36).
66
Suppose 8 = 4*m - 2*m. Suppose 3*c + 246 = 4*j + c, m*c - 20 = 0. What is the common denominator of ((-8)/12)/(j/(-138)) and -77/4?
16
Suppose -4*f + 10 = -5*p + 125, -6 = p + 5*f. Let r = p + -17. Calculate the least common multiple of (-80)/(-4) - -2 - 0 and r.
22
Suppose -4*x = -4, -5*z - 7*x + 83 = -4*x. What is the smallest common multiple of z and 2?
16
Let a be (24/(-18))/((2/9)/2). What is the common