*v + 57 = t*r - 25. What is the least common multiple of 4 and v?
84
Calculate the common denominator of -24/49 and 3374/12936*((-8)/(-70) - 72/(-252)).
16170
Let p = 4242446646 - 1476373265735/348. Let d = p - -21067/4. What is the common denominator of d and 71/9?
522
Suppose -3*n + 543 = 4*k, -2*n - 168 = -3*n + 3*k. Let u = n + -171. What is the lowest common multiple of u and 165/6 - 2/4?
54
What is the common denominator of (-9 - 2212/(-245))/((-24)/(-550)) and 92/315?
1260
Let d be (48/128)/(82/9472664). Let t = -43321 + d. Calculate the common denominator of t and 17/3.
246
Let o be -2*(-3 + (20/(-5) - 1)). What is the least common multiple of ((-45)/4 + 6)*o/(-6) and 8?
56
Let g = 237 + -1662/7. Let q = -82489325/91 + 906425. Let l = q + 564/13. What is the common denominator of g and l?
7
Let y(n) = n**3 - 3*n**2 - 30*n + 15. Let c be y(7). Find the common denominator of 31/36 and 118/531 + c/((-99)/(-347)).
396
Let z(d) = 73*d + 5204. Let c = 22 + 5. Calculate the smallest common multiple of c and z(-71).
189
Let m(t) = -16*t**2 + 9*t + 37. Let o be m(16). Find the common denominator of (o/(-812))/((-6)/(-7)) and 9/8.
8
Suppose 0*x = -2*t + 3*x, t + 2*x = 0. Suppose -9*h + t*h = -342. Let f(p) = -p - 4. What is the least common multiple of h and f(-10)?
114
Suppose b - 7 = -3*h + 3, 0 = h. Let y be (-7)/21*-18 + 119. Suppose 0 = 7*w - 491 - y. What is the least common multiple of b and w?
440
Let r(z) = 4*z**2 - 364*z + 1080. Let f = 55073/84 - 1955/3. Find the common denominator of r(3) and f.
28
Suppose 3*o - 2*x + 65 = 0, -4*o - 5*x + 0*x - 79 = 0. Calculate the least common multiple of -1 - -4 - (18 + o) and 66.
66
Suppose 3*x - 2*d + 15 = 0, 3*d = -x - 0 + 6. Calculate the lowest common multiple of -56*((-15)/(-10))/x and 20.
140
Let u = -4861/6 + 805. What is the common denominator of u and (16/(-2) - (-1515)/105)/(-1)?
42
Let h(l) = -9*l**3 + 365*l**2 + 31*l + 38. Calculate the smallest common multiple of 10 and h(40).
46390
Suppose 2 + 14 = 8*o. Suppose -3*n + 14 = 3*f + 20, 5*f = -o*n + 2. What is the smallest common multiple of f and 70?
70
Let l = -4340 - -364457/84. What is the common denominator of (-10)/8*(-25)/3 and l?
84
Let t = 89/36 - -34/9. Let q(k) = -28*k**2 - 2*k - 1. Let m be q(-2). Let h = m + 765/7. Calculate the common denominator of t and h.
28
Let x = 3117/115 - 642999/23690. Find the common denominator of x and 1/30.
3090
Suppose -3*h = q - 4*q - 513, -3*h + q + 521 = 0. Calculate the lowest common multiple of 102 and h.
17850
Let v(d) = d**2 - 19*d - 89. Suppose 0 = -2*j + l + 106, 3*j + 4*l = -39 + 176. Calculate the smallest common multiple of j and v(-4).
51
Suppose -12 = 3*a, -14 = 4*f - 3*f + 5*a. Let w be ((-2)/(-3))/(2/f). Let z(t) = -2*t**3 - 2*t**2 + 3*t. What is the common denominator of -29/4 and z(w)?
4
Suppose -89*l + 74*l + 60 = 0. Suppose 945 = 5*n + l*n. What is the least common multiple of n and 10?
210
Suppose -m + 3*w = 29, -4*w = 4*m - 2*m + 78. Let b = -430 - -670. Find the common denominator of 88/21 and ((-48)/m)/(216/b).
21
What is the lowest common multiple of 77 and (-189)/(-72)*20*(-130)/(-25)?
3003
Let y be ((-342)/21)/(-4 - 54/(-14)). Let d = 51 - y. What is the common denominator of (d/14)/((-3)/(-9)) and 99/8?
8
Let t(f) be the second derivative of 0 - 2*f + 3/10*f**5 - 1/12*f**4 + 1/2*f**3 - f**2. What is the lowest common multiple of t(1) and 34?
102
Let r(w) = -w**2 - 9*w + 94. Let h be r(6). Suppose -h*q = 17 - 33. Let g = -10 + 14. Calculate the least common multiple of q and g.
4
Let x(v) be the third derivative of v**5/60 - v**4/24 + 7*v**3/6 + 147*v**2. Calculate the least common multiple of x(5) and 174.
1566
Suppose 142 = 23*l - 88. Let z(y) = y**3 - 13*y**2 - 14*y + 11. Calculate the lowest common multiple of z(14) and l.
110
Let g = 207 - 136. Let o = 75 - g. Let b(f) = f - 4. What is the lowest common multiple of b(8) and o?
4
Let d be 47213/(-2)*4/6. Let l = d - -16867. Let o = l + -1146. Find the common denominator of 33/8 and o.
24
Let t = -19305 + 270191/14. What is the common denominator of t and -2 - (1 - (-81)/(-14))?
14
Let u = -4001/2013555 - 5/1671. Let y be (-59494)/90*((-6 - -3) + (-242880)/(-80976)). Let l = u - y. Calculate the common denominator of -37/27 and l.
189
Let l(k) = 4*k**2 - 94*k + 524. What is the smallest common multiple of 336 and l(18)?
2688
Suppose -b + z = -z + 1, 3*z - 3 = 0. What is the smallest common multiple of 18 and ((-528)/80 - -5)/(b/(-110))?
1584
Let v = 43 - 40. Let x be -1 - 15/(-9) - (-52)/12. Suppose -x*m + 32 = -13. What is the smallest common multiple of v and m?
9
Let c = 10 + 13. Suppose -c*o + 28*o = -480. What is the common denominator of -81/10 and (-3)/(42/(-20))*616/o?
30
What is the common denominator of -15635*(-42)/(-36855) + 18 and 163/3978?
11934
Let m = -1811 - -1915. Calculate the smallest common multiple of 234 and m.
936
Suppose 103*a - 4*q + 50 = 104*a, -5 = -a + 5*q. Let c = -19 - -31. Calculate the lowest common multiple of a and c.
60
Suppose -5 = 2*g + y, -3*g = 36*y - 39*y - 24. Calculate the lowest common multiple of g and 8.
8
Let o(s) = 41*s + 10. Let m be o(8). Let g = 1018 - 4155/4. What is the common denominator of g and m/(-96) - (-1)/3?
16
Let u be (-9)/(-18)*(-960)/3. Let f = 166 + u. What is the lowest common multiple of f and 18?
18
Find the common denominator of ((-21)/245)/(18/(-2121)) and -75/152.
760
Let y = 2900563/26961000 + -2/78375. Find the common denominator of y and -21/29.
9976
Let p = -5 - -7. Let l = p - -9. Suppose 106*n - 643 = -113. Calculate the smallest common multiple of l and n.
55
Let j = 842093153/756 - 1113880. Calculate the common denominator of j and -91/2.
756
Let s = -2711/2548 - -5/196. Find the common denominator of (-12*40/(-66))/2 and s.
286
Let r = 500001/26 - 19230. What is the common denominator of -10/37 and r?
962
Suppose -15 = -4*v + l, v + 20*l = 21*l + 6. Suppose -s + 2*m - 3 = 2, -4*s = -v*m. Calculate the smallest common multiple of 18 and s.
18
Let x be (-1 - 0) + 2 + 175. Suppose 5*w - u = -x, u - 59 = 2*w + 12. What is the common denominator of 8/18*(-30)/w and 23/3?
21
Let h be -7 - (-763)/(-7) - -6. What is the common denominator of 48/(-9 + -3) + (-553)/h and -13/77?
770
Let x = -434083/215 + 2019. Let h = -2938/53965 - x. Let l = h + 4555/4518. What is the common denominator of -27/22 and l?
198
Let l = 2090 + -1898. Calculate the smallest common multiple of l and 9.
576
Suppose 4*z - 3*r = 0, -3*z - 3 = -0*r - 3*r. Suppose -5*j - 4 = -3*i, 3*j + z = 3*i - i. Find the common denominator of -34/11 and 1456/120 + i/15.
33
Suppose -94 = -4*v - 2*y, 19*v = 15*v + 3*y + 79. Suppose -t = -2*t. Calculate the least common multiple of 44/4 + t + -1 and v.
110
Let r = -538 + 543. Suppose 0 = 2*z + 5*o - 605, 5*z = -r*o - 312 + 1787. Calculate the least common multiple of 20 and z.
580
Let z = -50156 + 3109735/62. Let l = -11128 - -133453/12. Calculate the common denominator of z and l.
372
Calculate the lowest common multiple of 1/(-2)*-778 + -2 + 6 and 69.
9039
Let i be (-5)/(-10) + (-405)/16. Let r = -27/16 + i. Let k = -50935/6 + 8469. Find the common denominator of k and r.
6
Let h(g) = -5*g + 1056. Calculate the least common multiple of h(14) and 174.
2958
Suppose 174*n + 7518 - 15301 = 14663. What is the smallest common multiple of n and 21?
903
Let h be (-20)/170*-17 - (-217957)/(-56412). Let l = h - -4/1567. What is the common denominator of 151/12 and l?
36
Find the common denominator of 31/189 and 656/(-84) - 67/(-469).
189
Let f = -12117572/29875131 + 1672/19539. Let b = f - 124/139. What is the common denominator of -8/5 and b?
165
Suppose -748 = -39*d + 5*d. Suppose 5*v = a - 0*v - 14, 0 = -2*a - 5*v + 58. What is the least common multiple of a and (-16)/(-24) + 1/(3/d)?
24
What is the lowest common multiple of 20/(-4) + 32 + -26 and 1195?
1195
Let t = 25 + -23. Suppose 7*o = t*o + 75. Suppose 0 = -19*p + o*p + 32. What is the least common multiple of 3 and p?
24
Let u be -2 + (-3)/(3/(-7)). Suppose 150 = 10*c - u*c. Find the common denominator of 137*(85/c + -3) and 55/4.
12
Suppose 3*v - 93 = -2*k + 104, 4*v = -5*k + 475. Calculate the smallest common multiple of k and 65.
455
Let l = 3986827/90 - 44298. Find the common de