- 9. What is the lowest common multiple of q and i?
330
Let q = 370 - 291. Find the common denominator of 30/173 and 2 - ((-11)/22 + q/6).
519
Suppose -p = -5*j + 16, 4*p - 61 = -0*j - 5*j. Suppose 0 = 17*w - p*w - 416. Let a = -31 + w. Calculate the least common multiple of 30 and a.
210
Let c(x) = -91*x - 22. Let s be c(5). Let d = -459 - s. Calculate the smallest common multiple of d and 38.
342
Let k be 2070/(-17604) + 1*-3. Let d = k + -8/163. Calculate the common denominator of 21/34 and d.
102
Suppose -n = -v - 3, -10 = -3*n - 5*v + 9*v. Suppose 6*g = n*g + 120. What is the lowest common multiple of 15 and g?
30
Suppose -11*f + 3*f = 0. Suppose 3*j - 3*x - 51 = f, j - 2*j - 3*x = 3. Suppose -30 = -y - 19. What is the least common multiple of j and y?
132
Let h(t) = 2*t**3 + 36*t**2 + 5*t + 93. Let k be -4 - -15 - (-4)/(-1). Suppose 43 - k = 2*v. Calculate the least common multiple of h(-18) and v.
18
Let d be 11*10*20/50. Suppose a = -5*v + 154, d*v - 46*v = 4*a - 76. What is the least common multiple of v and 9?
90
Let l(r) = -r**2 - 8*r + 112. Let w be l(-27). Let g = -92 - w. Calculate the smallest common multiple of g and 15.
1545
What is the smallest common multiple of 16 and (24106/42 - 18/(-54))*(-21)/(-2)?
48240
Let c(t) = t**3 + 18*t**2 + 17*t - 2. Let w be c(-17). Let m = w + 16. Calculate the smallest common multiple of (-20)/35 - (-120)/m and 8.
8
Calculate the common denominator of ((-104262)/(-3864) - 18) + (-9)/1 and -45/22.
7084
Let w = -2587977 - -38858204/15. Let d = w + -2564. What is the common denominator of -133/6 and d?
30
Suppose 7 - 7 = 3*m. What is the lowest common multiple of 20 and (-12)/18*(-12 + m/3)?
40
Let j(o) = -1148*o + 11502. Calculate the lowest common multiple of j(10) and 110.
110
Let o(h) be the second derivative of h**3/2 - 6*h**2 + 2*h. Let j be o(10). Suppose -18 = j*s - 20*s. Calculate the lowest common multiple of 5 and s.
45
Let c = -742 - -784. Calculate the least common multiple of c and 63.
126
Let n(r) = 395*r - 1508. What is the least common multiple of n(4) and 264?
792
Suppose 0 = -h - 9*h + 110. Suppose 4*m - h = -3. Suppose -5*c = 2*t + 135, -c - 33 = 2*t + m. What is the common denominator of -31/7 and c?
7
Let q = -355/16 - -449/48. Calculate the common denominator of q and 4 + (-39)/108 + (-4)/16.
18
Let u(x) = x**2 - 13*x + 18. Let d be u(11). Let k = 1878557/88 - 21347. Calculate the common denominator of k and 68/(-224)*-4 + d.
616
Suppose -2*f = -2*c + 26, 0 = -177*c + 176*c + 4*f + 19. Calculate the smallest common multiple of 3149 and c.
34639
Let f = 2052028/63 - 32573. What is the common denominator of 10/3353 and f?
30177
Let s be -1 - -2 - (-41735)/(-41750). Let d = 223376/37575 - s. Find the common denominator of 2124/(-560) + 1/7 and d.
180
Let f be (-5 - (-138)/(-7))/((-2)/8). Let d = f + -669/7. Let b = 138007/6988 - -3/3494. Calculate the common denominator of d and b.
28
Let u be (-2)/10 - (-224)/70. Suppose -34 = -u*w + 4*x, 8 = -2*w + 5*x - 10*x. Calculate the smallest common multiple of 6 and w.
6
Let l(h) = -h**3 - 7*h**2 - 5*h + 8. Let j be l(-6). Suppose 0 = -2*k + 6 + j. Calculate the common denominator of 4/19 and 1/k*1288/49.
133
Let c(n) = -n**3 + 3*n**2 + 5*n + 1. Suppose 8*a + 513 = 13*a - u, -4*u + 28 = 0. Calculate the lowest common multiple of c(4) and a.
520
What is the common denominator of (329/63 - (-25)/(-5)) + 1255/(-7956) and 31/340?
4420
Let f = 14399 - 14098. What is the smallest common multiple of f and 49?
2107
Let d(c) = 5*c - 7. Suppose s + 14 = 46. What is the lowest common multiple of s and d(5)?
288
Suppose 0 = -19*p + 5*p - 798. Calculate the smallest common multiple of 37 and p/(-24) + -4*(-15)/(-160).
74
Let t = 1603465/399 + -101857/38. Let m be ((-23)/69)/((-1)/(-4003)). Let h = m + t. Calculate the common denominator of h and 109/6.
42
Let d(f) = -4*f**3 - 5*f**2 - 7*f - 13. Let u be d(-3). Suppose u*a - 60*a - 66 = 0. Calculate the least common multiple of a and 48.
48
Let t = -47 - -34. Let h = 19 + t. Suppose 20 + 34 = 3*c. What is the lowest common multiple of c and h?
18
Let f = -128 + 24. Let x = -97 - f. Calculate the common denominator of (((-434)/(-68))/x)/((-4)/(-8)) and 10/11.
187
Calculate the lowest common multiple of 4/18 + (-76)/99 + (-6721)/(-121) and 2055.
22605
Let d = -14092 + 338221/24. Find the common denominator of d and -4/3.
24
Let j be 6/11 - 6624/(-198). Suppose 0 = -33*s + j*s - 24. What is the least common multiple of s and 8?
24
Let i = -28404041/240 - -118350. Calculate the common denominator of 91/300 and i.
1200
Let s(p) = 2*p**2 - 118*p - 2397. Calculate the lowest common multiple of 9987 and s(-16).
9987
Let w = -10/2533 + -275837/65858. Let n = 237623/35014 - 2/2501. Find the common denominator of n and w.
182
Let g be 36315/225 + 2 + 24/(-10). Suppose -6*d + g = 71. Calculate the lowest common multiple of d and 25.
75
Suppose 4*t - 3*o - 21 = 0, -9 = -3*t + 4*o + 12. Suppose -t*y + 8 = -2*y. Calculate the lowest common multiple of (-199584)/(-21600) + (-6)/25 and y.
72
Suppose 0 = -2*a - 6 + 16. Let h(k) = -6*k**2 + 101*k - 322. Calculate the least common multiple of h(5) and a.
165
What is the common denominator of 22/195 and 11797/(-1950) - (-29 + 23)?
1950
Suppose -2*m + 162 = 2*t, -4*m + 7*t + 321 = 10*t. What is the smallest common multiple of m and 286?
858
Let y be (-340439)/65280 - (10 + (-592)/60). Let k = y + -7/4352. Find the common denominator of k and 71/2.
20
Let g = -2698 + 2718. Calculate the smallest common multiple of g and 804.
4020
Let j(i) = -7*i**2 + 144*i - 68. Let t(h) be the third derivative of h**6/20 - h**5/20 + 4*h**2. What is the smallest common multiple of t(2) and j(20)?
36
Let m = 11842154 - 402699041/34. Let q = -1935 - m. Calculate the common denominator of 7/68 and q.
68
Suppose -s + 2*c = c + 10, -s = 3*c - 2. Calculate the common denominator of 119/40 and s/80 + 0/(-9).
80
Suppose 20*j + 3125 = 5*s + 25*j, 0 = -3*s - 5*j + 1877. What is the smallest common multiple of s and 10?
3120
Let r be (14/(-28))/(1/(-6)). Suppose r*m = -m - 960. Calculate the common denominator of 202*(0 - (28/m)/(-7)) and -45/22.
330
Let s be 1*11/(55/2690). Let m = s - 462. Calculate the lowest common multiple of 100 and m.
1900
Let f = -160 - -320. Calculate the least common multiple of f and 2*(-44)/(-8)*1.
1760
Let f(k) = -2*k**3 + 27*k**2 - 11*k - 24. Let n = 154 - 141. Suppose 3*z - 4*q = 14, -7*z + 2*q = -3*z - 32. What is the least common multiple of z and f(n)?
10
Suppose g - 20 = -3*o, 6 = -2*g + 4*o - 4. Suppose 4*v = -g*n + 748, 0*v = -n - 2*v + 146. Calculate the lowest common multiple of 22 and n.
1672
Suppose 2*j + 34 = -3*j + 3*z, 2*z = 3*j + 21. Suppose -7*v - 4 = -6*v. What is the least common multiple of 3 and v - -2 - ((-65)/j)/(-1)?
33
Let h(a) = a**2 - 3*a**2 - 22 - 20*a + 3*a**2 - 3. Let u be h(21). What is the least common multiple of ((-60)/24)/(1/u) and 5?
10
Let l = -18206 + 4751711/261. What is the common denominator of l and -52/87?
261
Let l(i) = i**2 + i - 12. Let j = -52 + 53. Let v be (j - 2)/((-2)/10). Calculate the least common multiple of l(v) and 4.
36
Suppose -10*l + 2*m - 58 = -12*l, -140 = -5*l - 4*m. What is the smallest common multiple of 20/(-30)*(-1 + -125) and l?
168
Let u = -38/1401 + -4411483/9807. Let g = 448 + u. What is the common denominator of g and -93/314?
2198
Suppose -4*k = 2*a - 16 - 4, 4*k = -3*a + 22. Suppose a*v + 3*v - 30 = 0. Calculate the lowest common multiple of 15502/674 + (-1 - -13) and v.
210
Let i = -4025/2 + 116775/58. Find the common denominator of 58/20*5/5 and i.
290
Suppose -8*u + 296 = 32. Find the common denominator of -1*(-134)/(-352) - 6/u and 107/6.
48
Find the common denominator of ((-796)/(-200) - 4)/((-5)/(383 - 3)) and -71/400.
400
Let s(d) = 436 + 58*d - d**2 - 117*d + 60*d. Let r be s(0). What is the common denominator of r/24*6/22 and -7/18?
198
Let s = 25 + -91. Let q = s - -69. Suppose -4*l = -10 - 14. Calculate the smallest common multiple of l and q.
6
Suppose -5*n + 4*l = -2172, 1311 = 9*n - 6*n - 5*l. Let g = 441 - n. Calculate the smallest common multiple of 33 and g.
99
Let c = -91 + 69. Find the common denominator of 32/157 and ((-17)/(170/(-75)))/(c/(-12)).
1727
Let c = -31 - 200. 