*(-474)/(-364) and 47/315.
4095
Let t(g) = g + 2. Let q be t(-5). Let h(r) = 3*r**2 + r - 8. Calculate the least common multiple of 52 and h(q).
208
What is the common denominator of 55/38 and (-6111)/(-1710) + 9 - 12?
190
Suppose h = -2*i + 31, 4*i + 4*h + 0*h = 64. Calculate the least common multiple of i and 12/20*(17 - 2).
45
Let u = -7756 - -8698. What is the smallest common multiple of u and 3454?
10362
Suppose -214*j + 2464 = -210*j. What is the common denominator of 11/(j/12) - 5 and -43/6?
42
Suppose -41*q = -95*q - 285*q + 15255. Calculate the smallest common multiple of 2000 and q.
18000
Suppose -331 - 92 = -3*b. Suppose 4*r = 4*q - 504, 2*r + 489 = 5*q - b. What is the lowest common multiple of q and 3?
126
Let v = 0 - -42. Calculate the lowest common multiple of 90/(-24)*((-500)/30 - 2) and v.
210
Let n = 262 - 219. Suppose -n*x + 12*x + 558 = 0. What is the smallest common multiple of 658 and x?
5922
Let o(p) = 26*p**2 - 460*p - 136. What is the smallest common multiple of o(18) and 506?
2024
Let j = -354 + 490. Calculate the lowest common multiple of j and 323.
2584
Suppose -85 = -6*j + 251. Suppose 0 = -53*r + j*r + 12. Calculate the common denominator of 93/10 and 120/140 - (-2)/r*-1.
70
Let m = 24 - 34. Find the common denominator of m/45 + (-1555)/90 and 11/120.
120
Suppose 0 = -2*t - 2, 5*m + t = -3*t - 79. What is the common denominator of m*(-7 + (-157)/(-22)) and -37/4?
44
Suppose -5*d + 197 + 3 = 0. Calculate the common denominator of (-9)/(-12) + 286/40 and ((-4)/(d/81))/(2 - 5).
10
Suppose -6 = 11*i - 13*i. Suppose -5*a + i = 8. What is the lowest common multiple of (32 - 2) + (-4 - -4)/a and 14?
210
Let o be 6521/5 + -4 - 1/5. What is the lowest common multiple of 68 and ((-4)/5)/((-104)/o)?
340
Let i = -4795555/192 - -24977. What is the common denominator of i and 111/448?
1344
Suppose 2*k - v + 31 = 0, -k + 5*v - 19 = 1. What is the least common multiple of 10 and (-447)/k - ((-114)/(-30) - 4)?
30
Let q = 192 - 192. Suppose q = 2*n + 4, -8 = -3*s + 5*n + 23. Calculate the least common multiple of 12 and s.
84
Let m = 5298489 - 23419321491/4420. What is the common denominator of -95/156 and m?
13260
Let w be 10 - -2 - 0 - (-4 + 9). Suppose 0 = -2*b + 3*d + 11, -w*b - 4*d = -8*b - 2. What is the smallest common multiple of b and 180?
180
Find the common denominator of -9/2570 and (39 - 32) + (-426)/(-36) + (5 - 2).
7710
What is the least common multiple of -2*(53 - 2)*-2 and 16?
816
Find the common denominator of 18/42*1085/(-170) and ((-86)/(-42) - 2)*(-1386)/84.
238
Find the common denominator of -129/110 and (-344)/33540 + 2/(-12).
1430
Find the common denominator of 30/(-165) + 2/((-4488)/(-2102)) and -35/748.
2244
Calculate the least common multiple of 160 and ((-1044)/(-145))/((-3)/(-10)).
480
Let i(m) = 3*m**2 - 17*m + 24. Let w be i(2). Suppose 0 = -4*n - r + 84, -3*n - 3*r - w*r = -80. What is the least common multiple of n and 30?
60
Suppose 4 = -3*i + 1. Let c(f) = -4772*f**2 - 5*f. Let l be c(-1). Let m = -42950/9 - l. What is the common denominator of m and i?
9
Suppose 0 = -766*c + 785*c - 1254. Calculate the least common multiple of c and 198.
198
Let i = 24659991 + -862978009/35. Let p = 3476 - i. Find the common denominator of p and -41/25.
175
What is the common denominator of (2/(-4))/((-20)/(-85)) and (-48)/2464*-14*17/(-2)?
88
Let b = -3635 + 3656. Calculate the smallest common multiple of b and 51.
357
Let i be (-196)/(-245) + (-194)/(-45). Let m = i - 199/36. What is the common denominator of 0 - (196/78 - 2) and m?
156
Let g(x) = -13*x**2 + 1. Let c be g(1). Let n be (0 - 18/(-63))*-7. Calculate the common denominator of -31 and n/(c/(-118)*(-4)/(-3)).
4
Let s be -4 + 0 - (-6 - -7). What is the least common multiple of 6/(-2 - s) - 1 and 3?
3
Let r be ((-1)/3)/(1/(-618) - 0). Suppose -2*u - 3*z = -377, z + r = u - z. Calculate the smallest common multiple of u and 10.
980
Calculate the common denominator of (-1224)/(-280) - 7 - 4/(-20) and (8/11)/(40/(-32)).
385
Let l = -13/564 + 3115/564. Let x = 2/11579 + 24674841/46316. Let h = -540 + x. Calculate the common denominator of l and h.
4
Find the common denominator of 127/204 and 803/210 + 82/574.
1020
Find the common denominator of -1/282 and (252/784)/(12/16) - (-4630)/(-7896).
564
Let v be 3 + 72/(-21) + (-31)/(-7). Suppose 0 = -v*j - 7 - 1. What is the common denominator of (j + -14 + -2)*24/(-128) and 21/43?
344
Calculate the common denominator of 19/1334 and 1/(-2)*(980/84 - -19).
4002
Let j = -4943059/8700 - -3/2900. Let q = j + 187087/330. Find the common denominator of -97/22 and q.
110
Let c(u) = 304*u**2 + 104*u + 336. What is the least common multiple of c(-3) and 6?
2760
Let v be ((-946)/(-234) - -1) + 82/(-369). Let i = 54/13 - v. Calculate the common denominator of i and -81/10.
30
Suppose -3*y - 2*h + 62 = 0, 2*h + 96 = 5*y - 2*h. Let k(w) = -3*w**3 - 69*w**2 + 233*w + 7. Calculate the least common multiple of k(3) and y.
20
Let i = -1249 - -600. Let s = -5909/9 - i. Calculate the common denominator of 43/15 and s.
45
Let o(l) = 30*l**2 + 19*l - 187. Calculate the lowest common multiple of 120 and o(7).
7080
Suppose -h + l = -3307, 77*l - 75*l = -2*h + 6582. Calculate the lowest common multiple of 1 and h.
3299
Suppose 2*o = 3*v - 35254, -2*v + 5*o = -4*v + 23471. Let u = 2635174481/28 + -94101628. Let r = v - u. Calculate the common denominator of r and -67/40.
280
What is the common denominator of 14/297 and 303/144*28*(-8)/(-28)?
594
Suppose 0 = -g + 3*d + 8, g + 4 - 20 = 5*d. Let u(n) = 5*n**2 + 89*n - 113. Calculate the smallest common multiple of u(-19) and 6/4*g/(-3).
2
Suppose 26 = -2*i - 24*i. What is the least common multiple of 3 and 5695/68 - i/4?
84
Find the common denominator of -23/960 and (42185/(-624))/(-55)*(-6)/64.
7680
Suppose -3*j + 255 = 48*n - 33*n, 0 = 5*n - 2*j - 100. What is the least common multiple of n and 88?
792
Suppose 0*z + 7*z - 28 = 0. Let h(v) = v**3 - 3*v**2 - 7. Suppose -27*k + 22*k + 35 = 0. What is the smallest common multiple of k and h(z)?
63
Let x be (-123)/287 - (-268)/707. Let v = x - -14473/606. Find the common denominator of 81/8 and v.
24
Let m be (-2145)/(-5820)*(-3)/((-42)/68). Let s = -3/679 + m. What is the common denominator of 47/7 and s?
14
Let w = -9/1727 - -247123/31086. Calculate the common denominator of -49/1584 and w.
1584
Let a = -701 - -701. Suppose -7*w + 14*w - 3388 = a. What is the lowest common multiple of w and 11?
484
Let c = 774553/21 + -36885. Find the common denominator of c and 17/688.
14448
Let l = 10200 + -20240. Let b = l - -331262/33. Let v = -24213 - -726407/30. Find the common denominator of b and v.
330
Suppose 53*r - 49*r - 176 = 0. Suppose 0 = -d - j + 23 - 12, 4*d - 4*j = r. What is the lowest common multiple of 11 and d?
11
Let u = 29384/7 + -4289735/1022. Find the common denominator of -43/1022 and u.
1022
Suppose -40*d + 153 = -167. Find the common denominator of -79/396 and (1 - (-932)/(-96)) + d/(-12).
792
Let z = 3048440 + -43958504817/14420. Find the common denominator of -31 and z.
14420
What is the common denominator of 25/4 and 7/84*(-218)/276*2?
828
Let v = -8532 - -8544. Let d = 894 + -6. What is the lowest common multiple of d and v?
888
Let v be (9 - 17)*1/(-2). Calculate the common denominator of (1100/(-30))/10 + 0 + -4 and 1*v/12 + 10.
3
Suppose -j + 184 = -2*m, -354 = -2*j - 6*m + 3*m. Find the common denominator of (-1083)/j - (-10)/(-25) and 13/506.
3036
Let t = 227 - 88. Find the common denominator of 117/14 and (-92)/(-483)*t/(-16).
84
Let s(p) = 48*p**2 + 14*p + 14. Let g = -81 + 80. Calculate the least common multiple of 48 and s(g).
48
Find the common denominator of (275/(-3570))/11*((2 - -12) + -3) and -37/1428.
1428
Let s = -11010 + 2010. What is the common denominator of -39/16 and 4/(-18) - (-3445)/s?
400
Let i = -10 - -32. Let n = -594 - -1165/2. Find the common denominator of n and 30/4*i/24.
8
Let r be 8111/3*2/(-70). Let g be (975/(-125))/((-28)/(-270)). Let o = g - r. What is the common denominator of 3/14 and o?
210
Suppose -8*t + 49 - 9 = 0. Let o(a) = -a**3 + 5*a**2 + 8*a - 24. Calculate the lowest common multiple of 6 and o(t).
48
Suppose 0 = 2*h - 33 + 33. Suppose 4*w + 0*d = -2*d + 118, w - d - 31 = h. 