- 2 - 2. Calculate the smallest common multiple of t and x.
2
Let v be (17/26)/(51/238). Let t be (6/(-39))/(3/(-51)). Let f = t + v. What is the common denominator of f and -85/4?
12
Suppose 4*h - 255 = -11*h. Suppose h*n - n - 80 = 0. What is the smallest common multiple of 9 and n?
45
Suppose -l + 4*l - 2*i = 327, l = 5*i + 122. Let b be ((-10)/(-6))/(1/l). Let p = b + -172. Calculate the common denominator of p and -34.
3
Calculate the common denominator of -22/65 and (-356)/160 + 0 + (1 - -2).
520
Let l = 31609/29624 + -26/529. Calculate the common denominator of 111/140 and l.
280
Let v be 13*((-3)/(-1))/(-3). Let w = 9 - v. Suppose 4 - 48 = -4*p + u, -p + 26 = -4*u. Calculate the lowest common multiple of w and p.
110
Let i(c) = c**2 - 10*c - 2. Let a be i(12). Suppose 6*z - a = -4. What is the smallest common multiple of z and 9?
9
Let i = -79983169/354 + 225941. What is the common denominator of -67/36 and i?
2124
Let f = 1500 - 26981/18. Let x = -55447/10 - -5556. Calculate the common denominator of f and x.
90
Let n = 47477/10 + -4739. What is the common denominator of n and 7/55?
110
Let q(j) = j**2 - 3*j. Let x be q(3). Find the common denominator of (x - 1)*(-66)/4 and -97/8.
8
Let r = 2 + -1. What is the common denominator of (-2)/1 - (-1734)/340 and r - (243/(-2))/(-3)?
10
Suppose -7*m + 40 = 5. What is the smallest common multiple of 2 and -7 + 5 + m + -1?
2
Let o be ((-3)/(-9))/((-5)/(-75)). Suppose -3*z + 5*r = -18, -1 = o*z - 3*r - 15. What is the least common multiple of 2 and z + -5 + 44/2?
18
Let q(b) be the first derivative of -b**2/2 - b + 6. Let k be q(1). Let y = k - -49/2. Calculate the common denominator of y and 89/20.
20
Let z be -24*(2 + (-8108 - -4)). Let h be 4/z*(-1134424)/(-6). Let x = h + -2/4051. Calculate the common denominator of x and 1/8.
72
Let x(u) = u**2 - 41*u + 249. Calculate the common denominator of x(6) and 32/9.
9
Suppose f = -2*k - 5, 8*k = 3*k - 3*f - 12. What is the common denominator of 15/10*(91/(-3) + 2) and k - ((-3885)/54)/7?
18
What is the least common multiple of 60 and ((143/(-33))/13)/(1/(-90))?
60
Let s = 164 - 112. Suppose 0 = 5*a - 5*o - 45, 0*a - 2*o + s = 5*a. Calculate the smallest common multiple of a and 8.
40
Let h = -77005/22 - -3498. Let v = -1/3875 - -213137/46500. Calculate the common denominator of h and v.
132
Let r(t) = -3*t**3 - 2 - 8 + 2*t + 4*t**3 - 7*t**2. Calculate the lowest common multiple of r(7) and 12.
12
Let q = 7184 - 43225/6. Find the common denominator of (-1)/(128/(-114) + 1) and q.
42
Let n = -1093580692 - -102795637077/94. Let s = n + 10085. Calculate the common denominator of -59/14 and s.
658
Let r(l) = -4*l + 26. Let t be r(6). Suppose t*w = o + 16, 0 = -2*w + o - 2*o + 24. What is the least common multiple of w and 2?
10
Calculate the common denominator of ((-4)/(-6))/((-340)/2907) and 10/(-36)*(-564)/(-40).
60
Let k = 8051 + -289973/36. Find the common denominator of k and (66/(-10))/((-28)/10).
252
Suppose 4*q + 12 = -c, -c - 4 = 4*q - 2*c. Let j be (-20)/(-6) + q/6. Suppose 11 - j = z. What is the least common multiple of z and 12?
24
Calculate the lowest common multiple of (-7)/((-315)/660)*18/8 and 88.
264
Let s = -295506 - -418551. Let d = s - 1598505/13. Let v = -19609/234 + d. Calculate the common denominator of 91/20 and v.
180
Let z(y) = 44*y + 2. Let p be z(-2). Find the common denominator of -23/2 and p/54*(1/(-2) - -2).
18
Let u be (0 + 1)/((-9)/(-135)). Let h be u/2*16/(-6). What is the smallest common multiple of 2/8 + (-155)/h and 8?
8
Let p = 431 - 87. Calculate the lowest common multiple of p and 2.
344
Suppose -5*j + 382 = 222. Calculate the lowest common multiple of 68 and j.
544
Let w = 156/37 - 10362/2405. Find the common denominator of -99/14 and w.
910
Find the common denominator of 31/42 and 147/54 + 4/(-2).
126
Let p(r) = r**3 + 11*r**2 - 10*r + 27. Let f be -11 - (2/3)/(2/3). What is the smallest common multiple of p(f) and 16?
48
Calculate the common denominator of -7/48 and (-7527)/2184 - 2/(-28).
48
Calculate the common denominator of -3 + 186/66 - (-1017)/1540 and 5/28.
140
Let m = 2904293/120 + -341831/120. Let g = 21360 - m. Calculate the common denominator of 45/162*69/(-10) and g.
60
Let s(t) = -6*t - 22. Let r be s(-17). What is the common denominator of -5/16 and ((-2)/40)/(r/4900)?
16
Let a = -1395/4 - -1193/4. Let m = 16116725 - 193281413/12. Let t = m + -9930. What is the common denominator of t and a?
12
Let b = 11845 + -284167/24. Find the common denominator of (-4)/22 - (-5718)/(-132) and b.
24
Let m(w) = w**3 - 5*w**2 - 12*w + 15. Let r be m(7). Suppose 0 = 4*t - 5*t + r. Let a = t - 25. What is the least common multiple of 11 and a?
44
Suppose -3*x - 5 + 33 = 4*o, 0 = -5*x - 20. Calculate the least common multiple of (-4)/14 - -1*46/14 and o.
30
Let q = -5/33 + 249/22. Find the common denominator of -97/26 and q.
78
What is the common denominator of 15/(-2)*(-221)/850 and -83/148?
740
Calculate the common denominator of ((-2)/(-3))/(460/(-667)) and -73/30.
30
Suppose 48*u = 27*u + 21. Suppose 0 + 2 = l. What is the least common multiple of u and l?
2
What is the common denominator of 397/(-42)*-2 - 14/(-147) and 125/168?
168
Let k be ((-1057758)/936)/((-1)/4*-2). Let v = k + 2246. What is the common denominator of v and (-2)/(12/(-86)*-3)?
18
Let t = 317 - 230. What is the lowest common multiple of 42 and t?
1218
Suppose 3*f - 36 = -y + 6*y, -3*y = 4*f - 48. Let j = -11029/4 + 2734. Find the common denominator of (-2)/f - 9074/(-1092) and j.
28
Let a = 19713624875/786 + -25080928. Let l be ((-24)/1834)/(28/(-3234)). Let c = a - l. What is the common denominator of 38 and c?
6
Calculate the common denominator of 39/64 and -4 + 2 + -5 + (-558)/(-56).
448
Suppose -21*u + 1442 - 266 = 0. What is the smallest common multiple of u and 384?
2688
Let i be 118/(-4)*60/277. Let b = 2797517/1662 + i. Let a = -1663 + b. Calculate the common denominator of -31/14 and a.
42
Suppose 23 = 3*k + 2. Let v(b) be the second derivative of b**3/2 - 3*b**2/2 + 3*b. What is the least common multiple of 10 and v(k)?
90
Let b(f) = f**3 - 6*f**2 + 5. Let m(t) = t**3 + 10*t**2 - 11*t + 6. Let v be m(-11). Let w = 5 + 3. Calculate the lowest common multiple of b(v) and w.
40
Let w = 0 + 20. Suppose 5*c + 27 = a, 0 = -4*c - 0 + w. What is the lowest common multiple of a and 18?
468
Let u = 34/5 + -347/40. What is the common denominator of (6/5)/((-28)/(-185)) and u?
56
Let d(n) = n**3 - 4*n**2 + 7. Let g be d(3). Find the common denominator of (g/24)/((-4)/472) and 9/14.
42
Let h = 2717 - 1911. Calculate the lowest common multiple of 20 and h.
8060
Suppose 34*g + 56 = 48*g. Calculate the lowest common multiple of 272 and g.
272
Let i be (32/(-3))/((-1010)/(-135)). Let u = -6569/1414 + i. Let x = 15547/6 - 2616. Find the common denominator of x and u.
42
Let w = 2/6023 + -8661/7944337. Let p = -61999/7914 - w. Find the common denominator of p and -31/16.
48
Calculate the smallest common multiple of (-676)/(-52) - (-7)/1 and 60.
60
Suppose 28*k + 16*k - 440 = 0. What is the lowest common multiple of k and 9?
90
Suppose i = 3*i + 3*w - 54, 0 = i + 5*w - 34. Calculate the smallest common multiple of 9 and i.
72
Suppose -13 = -w - 4*u, -2*w + 13*u - 17*u + 22 = 0. Calculate the lowest common multiple of w and 2.
18
Let j = 214/9 + -725/18. Find the common denominator of 51/73 and j.
146
Let s = 706214504 + -5659917287/8. Let z = s - -1278314. Let n = 3161 - z. What is the common denominator of n and -51/11?
88
Suppose 5*j - 3*s + 135 = 8*j, -2*s + 10 = 0. What is the least common multiple of 20 and j?
40
Let t(w) = -w**3 + 9*w**2 - 2*w + 8. Let a be t(9). Find the common denominator of 342/60 + (-8)/a and 1/5 + (-89)/(-10).
10
Suppose -3*w + 4*c = -4*w + 3, -2*w + 4*c = -66. Let m = w - 11. Calculate the lowest common multiple of m and 28.
84
Let j(p) = 2*p + 4. Suppose 0*a = 2*t - 3*a - 8, 2*a = -t + 4. What is the smallest common multiple of t and j(4)?
12
Let x = -105 - -243. Let f = -122 + x. Calculate the lowest common multiple of 40 and f.
80
Suppose 927*b = 919*b + 544. What is the lowest common multiple of b and 170?
340
Suppose -2*x = w - 0*x + 6, -4*w + x = -21. What is the smallest common multiple of 12 and 2 - w - (-1 