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d (-3*q**2 + 0*q**2 - q**2)*(4*q - q**3 + 37 - 38 + 0*q**3). 4*q**5 - 16*q**3 + 4*q**2 Expand -9*h**5 + 2*h**5 + 3*h**5 + 0*h + h**5 + 0*h + (-2*h + 2*h + 2*h**3)*(0*h**2 - 2*h**2 + 0*h**2). -7*h**5 Expand (-7*x + 91221 - 2*x - 91366)*(-3*x**2 + 0*x**2 + 2*x**2 + (2 + 1 - 4)*(5*x**2 + 2*x**2 - 4*x**2)). 36*x**3 + 580*x...
{ "pile_set_name": "DM Mathematics" }
25 = 5*r + 5*l for r. -1 Let t(h) = 49*h**2 - 9*h + 2. Let i be t(-1). Suppose 31*k - i = 95. Solve -3*v + 4 = -0*v - k*d, 4*v - 11 = d for v. 3 Suppose 122*y + 220 = 127*y. Suppose 3*d - y + 44 = 0. Solve 0 = -d*r + 5*r - 3*z + 19, 0 = -3*r - 3*z + 3 for r. -2 Let k(w) = -86*w - 3415. Let h be k(-40). Solve -5*m + h =...
{ "pile_set_name": "DM Mathematics" }
4*q, 3*q - 122 = -2*q + 3*o. What is the remainder when 86 is divided by q? 20 Let w(k) = 4*k**2 + k - 5. Let a(o) = -9*o**2 - 2*o + 9. Let j(c) = 3*a(c) + 7*w(c). What is the remainder when 10 is divided by j(-4)? 2 Let j(v) = 20*v - 12. Calculate the remainder when 76 is divided by j(2). 20 Suppose 0 = 3*j - 117 + 30...
{ "pile_set_name": "DM Mathematics" }
d by 26. 16 What is the remainder when 3410 is divided by 28? 22 What is the remainder when 82 is divided by 28? 26 Calculate the remainder when 198 is divided by 66. 0 What is the remainder when 138 is divided by 42? 12 Calculate the remainder when 149 is divided by 80. 69 What is the remainder when 239 is divided by ...
{ "pile_set_name": "DM Mathematics" }
ence between 0.875 and 0.60173? 0.27327 Add together -61 and -2810536. -2810597 What is the difference between 13779.98068 and 0.2? 13779.78068 What is -197868 + -0.18? -197868.18 Subtract -0.2224098 from -6. -5.7775902 Put together -0.2848 and 596.8605. 596.5757 -3.3 + -439846.497 -439849.797 Subtract -12.5 from -3768...
{ "pile_set_name": "DM Mathematics" }
, 3/7? 3/7 Let y be (-1)/(-2)*4/3. Let h = -448 + 1342/3. Which is the closest to y? (a) -0.3 (b) -2 (c) h a Let b = -3 - -1. Let j be (-60)/(-32) - (0 - b). What is the nearest to -1 in j, -3, -1/3? -1/3 Let b = -0.9 + -3.1. Let r = -0.278 - 0.022. What is the closest to -0.1 in b, -3/2, r? r Let w = -3.6 + 3.2. Wh...
{ "pile_set_name": "DM Mathematics" }
*(-30)/195. What is the closest to 2 in o, -0.08, -0.2? o Let j = -6.8 - -7.8. Which is the closest to j? (a) 1/3 (b) 5 (c) 5/2 a Let i = 15.7 - 16. Let h = 1.7 - i. Which is the nearest to -3? (a) h (b) -0.3 (c) 3 b Let j = 95 - 93. Which is the nearest to j? (a) 0.04 (b) -1/4 (c) 5 a Let y = -29 + 59/2. Let ...
{ "pile_set_name": "DM Mathematics" }
t common multiple of z and 12. 12 Let z = -3019/885 - -40/59. Let s = -123/34 + -847/170. Calculate the common denominator of s and z. 15 Find the common denominator of (-6118)/19656 - (-8)/52 and -73/12. 108 Let r be (-1 + 15/(-3))*707. Let u = r - -152671/36. Find the common denominator of 71/24 and u. 72 Suppose -2*...
{ "pile_set_name": "DM Mathematics" }
when three letters picked without replacement from vhvvvvhfhhv. 4/33 What is prob of picking 2 o when two letters picked without replacement from {r: 7, x: 1, o: 2}? 1/45 Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {n: 2, a: 1, o: 2, q: 2, t: 4, m: 1}. 4/33 Two letters picked...
{ "pile_set_name": "DM Mathematics" }
s) = -20*s - 1. What are the prime factors of l(-2)? 3, 13 Suppose -6*n + 98 = n. What are the prime factors of n? 2, 7 Let u be -6 + (-1 - 4 - -2). What are the prime factors of (-3 - 4/(-2))*u? 3 Suppose o + 3*m = 21, 7*o - 2*o - 89 = m. Let h = o - -11. List the prime factors of h. 29 Let t be ((-88)/(-2))/((-4)/8)....
{ "pile_set_name": "DM Mathematics" }
vative of s(w). Let f = 1 + -1. Determine a(f). 0 Let r(d) be the first derivative of d**3/3 - 2*d**2 - 2*d + 496. Suppose -n + 75 = -5*l, 2*l + l + 5*n + 45 = 0. Let v be 25/10*(-36)/l. What is r(v)? 10 Suppose 7*r + 72 = 11*r. Suppose -4*v + t + 28 = 0, -16 = -4*v + t - 3*t. Let z(x) = -r*x + 1 + 13*x + v. Determine ...
{ "pile_set_name": "DM Mathematics" }
*2*(m + 2)/6 Let z = 567/8 + -71. Let y = 3/8 + z. Factor -1/4*h**2 + y*h**3 + 0 - 1/2*h. h*(h - 2)*(h + 1)/4 Let c be 4/(-5)*(-4 - 266/(-84)). Let c*k + 4/3 - 2/3*k**2 = 0. What is k? -1, 2 Factor -5*z**4 + 5*z**2 + 5*z**5 - 112*z**3 + 107*z**3 - 2*z + 2*z. 5*z**2*(z - 1)**2*(z + 1) Let w be -33*(-4)/120 - (-2)/5. Fac...
{ "pile_set_name": "DM Mathematics" }
? -118040000 Round 1145982.249 to the nearest 100. 1146000 What is 65689.237 rounded to the nearest 10000? 70000 What is -0.75475502 rounded to four decimal places? -0.7548 What is -6.691064667 rounded to one dp? -6.7 What is -190.4715751 rounded to the nearest 10? -190 Round 0.00000174915125 to 7 dps. 0.0000017 Round ...
{ "pile_set_name": "DM Mathematics" }
7 - -418. Solve -2*q - 7 + o = h for q. -3 Let u be 1/(2/(-1 - -9)). Suppose 4*b - u*m + 14 + 2 = 0, 12 = 3*m. Solve -15*q + 20*q + 15 = b for q. -3 Suppose 2*k + 30*l - 33*l = 10, 6*k - 60 = 4*l. Solve -2*r = k*r - 48 for r. 3 Suppose 4*f = -74 + 126. Solve -f*p - 21 = -47 for p. 2 Suppose -12*c - 59*c + 8401 = 3431. ...
{ "pile_set_name": "DM Mathematics" }
-5*v**2 + 43*v - 17. Let h(b) = b**2 - 11*b + 4. Determine 9*h(f) + 2*z(f). -f**2 - 13*f + 2 Let v(j) = 1. Let o(t) = 251*t + 9. Determine 2*o(z) - 18*v(z). 502*z Let i(c) be the second derivative of -c**4/12 + 5*c**2/2 - 9*c. Let s(g) = g. Let b(k) = -2*k**2 + k + 6. Let x(q) = -b(q) + s(q). Give 6*i(z) + 5*x(z). 4*z*...
{ "pile_set_name": "DM Mathematics" }
What is the second smallest value in j, -5, 0.5? j Let x = -3 + 7. Let o = 0.19 + -0.19. Let p = o + x. What is the second biggest value in p, 0.3, -0.2? 0.3 Let h = -7 - -65/9. Let n(f) = -f**3 - f - 5. Let o be (0/2 - 0)/1. Let z be n(o). Which is the second smallest value? (a) h (b) 1/3 (c) z a Suppose 5*h + 5 = ...
{ "pile_set_name": "DM Mathematics" }
ay -0.2? -280596163.8 What is 167.5054 take away -39567? 39734.5054 Put together 16538 and -65.62. 16472.38 Work out -4660187 - -15.8. -4660171.2 What is the distance between 188542772 and 0.2? 188542771.8 Calculate 3 - -680.475878. 683.475878 Add -0.7489 and -0.026646. -0.775546 What is 37750903 - 16? 37750887 What is...
{ "pile_set_name": "DM Mathematics" }
? 14 Let w(n) = 240*n - 1926. Let m be w(8). Let i(t) = -t**2 + 8*t + 1. Let p(k) = 2*k**2 - 9*k. Let v(y) = 3*i(y) + 2*p(y). Calculate v(m). 3 Suppose -3*j - 5*t = 2, 4*j + 1 = -5*t - 0. Suppose 10*i = 14*i - 12. Let o(a) = 37 - 4*a - 38 + i*a. What is o(j)? -2 Suppose 35 + 0 = 2*q - 5*r, 3*r + 9 = 0. Suppose 2*p - q ...
{ "pile_set_name": "DM Mathematics" }
and give a. -15 Rearrange (3849 - 7*o**4 - 3705 + o**4)*((0 + 2 + 0)*(-4 + 3 - 1) - 2 - 2 + 6) to the form c + x*o**3 + b*o**2 + d*o + t*o**4 and give t. 12 Express 26 - 138*m + 74*m + 76*m in the form k + q*m and give k. 26 Rearrange 2*x - 31*x**3 + 0*x + 2*x**2 - 4*x + 20*x**4 + 30*x**3 - 1 + 0*x**4 to the form i*x**...
{ "pile_set_name": "DM Mathematics" }
k = 53 + 37. Calculate the highest common divisor of k and 18. 18 Let n = 79 + -44. Let g be 0 - -5*(-2 + 3). Calculate the highest common divisor of g and n. 5 Let c be ((-84)/10)/(3/(-30)). Suppose 7*r - 2*r = -2*z + c, 0 = 2*r - 8. Calculate the highest common divisor of 8 and z. 8 Let l(s) = 6*s - 2. Let i be l(2)...
{ "pile_set_name": "DM Mathematics" }
+ -2. Let f be (6/(-9))/(2/3). What is the nearest to -2 in -0.3, f, b? b Let d = 9 - 14. Let f = d - -5.4. What is the nearest to -0.2 in 1, 1/2, f? f Let l = 6 - 8. Suppose 4*y + 62 = -18. Let m be (-26)/y + 1/5. Which is the nearest to -2? (a) l (b) -5 (c) m a Let n be ((-6)/(-21))/(5/7). Which is the closest to ...
{ "pile_set_name": "DM Mathematics" }
/6*8/p. Solve -3*d - a - 13 = 0 for d. -5 Let h = 133 + -90. Let p = h + -23. Solve p = 4*m - 0*m for m. 5 Suppose 3*i + 86 = 266. Suppose i = f + 3*f. Suppose -f = -2*c + c. Solve 2*r - 7*r = -c for r. 3 Suppose -v - 5 = -4*f, 3*v - 4*f + 4 = 5. Solve s - 20 = -v*s for s. 5 Suppose 2*z = -4*s - 5 - 3, -25 = -5*z - s. ...
{ "pile_set_name": "DM Mathematics" }
3/8, -0.2 in increasing order. -3/2, -1/2, -0.2, 3/8, 5 Sort -7, -5, -70 in decreasing order. -5, -7, -70 Put -0.4, 3, -0.5, 0.3, 2 in decreasing order. 3, 2, 0.3, -0.4, -0.5 Put -7, 2, -8, 1 in descending order. 2, 1, -7, -8 Put -1, 30, 4 in decreasing order. 30, 4, -1 Put -6, 0.6, -0.07, 4, 0.2 in decreasing order. ...
{ "pile_set_name": "DM Mathematics" }
Calculate the least common multiple of 27900 and 69750. 139500 Calculate the common denominator of -19/5544 and 125/15708. 94248 Find the common denominator of 53/1785 and 44/10437. 887145 Find the common denominator of 137/210396 and 97/24. 420792 Find the common denominator of -115/17108 and -39/47. 17108 Calculate ...
{ "pile_set_name": "DM Mathematics" }
r(h(m))? -3*m**2 + 1 Let v(h) = 20*h**2 - 13*h + 13. Let i(t) = 9*t**2 - 6*t + 6. Let a(w) = -13*i(w) + 6*v(w). Let s(g) = 52*g**2. Give a(s(u)). 8112*u**4 Let g(p) = p**2 + 10*p + 27. Let u be g(-7). Let a(b) = -u*b**2 + 7*b**2 - 3*b**2. Let x(j) = -10*j. Calculate a(x(q)). -200*q**2 Let t(c) = 23*c + 2. Let v(y) = -...
{ "pile_set_name": "DM Mathematics" }
ment from {y: 2, n: 6}? 3/14 Four letters picked without replacement from {k: 1, n: 3, d: 5, r: 1, w: 2, g: 8}. Give prob of picking 1 r, 2 d, and 1 k. 2/969 Calculate prob of picking 2 q when two letters picked without replacement from qxxx. 0 Four letters picked without replacement from wwmfwfmwff. Give prob of picki...
{ "pile_set_name": "DM Mathematics" }
ate the smallest common multiple of i(-4) and (-108)/(-15)*75/45. 132 Let v(l) = l**2 - 15*l - 26. Suppose -2*p = 5*f - 0*f - 84, -2*p + 30 = 2*f. What is the least common multiple of 20 and v(f)? 140 Suppose -3*q + 12 = 6, -4*q = -4*f + 296. What is the least common multiple of 28 and f? 532 Let a(i) = i**3 + 10*i**2 ...
{ "pile_set_name": "DM Mathematics" }
ent from {m: 4, r: 2, q: 1, y: 3, k: 7}? 1/340 Calculate prob of sequence al when two letters picked without replacement from wfwlfawww. 1/72 Three letters picked without replacement from fxkuititkittkftffi. Give prob of sequence xfu. 1/1224 Four letters picked without replacement from jwjww. Give prob of sequence jwjw...
{ "pile_set_name": "DM Mathematics" }
-2)/b. What are the prime factors of (n/3)/((-10)/105)? 2, 7 Let i be 4/(-18) - 5815/(-45). Let k = i + 45. What are the prime factors of (-33)/(-22) - k/(-4)? 3, 5 List the prime factors of -3 - (-105 - (3 + 1) - -1). 3, 5, 7 Let a(o) = o**3 - 3*o**2 - 10*o + 58. List the prime factors of a(6). 2, 53 Suppose -3*p + 2*...
{ "pile_set_name": "DM Mathematics" }
rom swssssswwsw. What is prob of sequence ssss? 7/66 Calculate prob of sequence kjj when three letters picked without replacement from kjjjjjjkjjjkjjkjjjj. 140/969 What is prob of sequence yiv when three letters picked without replacement from vtyyi? 1/30 Three letters picked without replacement from {b: 5, x: 5, n: 1,...
{ "pile_set_name": "DM Mathematics" }
1246 by -1. -1246 Calculate 2953100 divided by 590620. 5 -72406 divided by -4 36203/2 81 divided by -22342 -81/22342 Calculate 1452 divided by -298. -726/149 Calculate 40084 divided by 20042. 2 What is 461028 divided by 4476? 103 Calculate -1 divided by 8496. -1/8496 Divide -96 by -154. 48/77 Calculate 56662 divided b...
{ "pile_set_name": "DM Mathematics" }
What is prob of sequence mb when two letters picked without replacement from {k: 2, b: 1, m: 4, o: 3, u: 4, w: 3}? 1/68 Three letters picked without replacement from {f: 1, k: 7, n: 2, g: 6, t: 1, o: 2}. What is prob of sequence fnk? 7/2907 Four letters picked without replacement from eekeeeeeekekeekeek. What is prob ...
{ "pile_set_name": "DM Mathematics" }
lify (-4*(sqrt(190) + 2*1*sqrt(190) - sqrt(190) - sqrt(190))*-5)/(-2*((sqrt(360) + -5*(2*sqrt(360) - sqrt(360)) - sqrt(360)) + sqrt(360))). 5*sqrt(19)/12 Simplify 5*(0 + (-1*sqrt(200)*3 + -4 + sqrt(200) + -5)**2)*3*-2. -26430 - 10800*sqrt(2) Simplify ((-4 + -3*sqrt(605) + 1)*5 + 4*(sqrt(605) + (sqrt(605) - (sqrt(605) +...
{ "pile_set_name": "DM Mathematics" }
t a(k) = k**3 + 4*k**2 - 21*k - 63. Let n be a(-3). Solve 0 = -5*x + 14 - n for x. 1 Suppose 58*g = 81*g - 828. Let s be 4/6*162/g. Solve -5*n - s - 2 = 0 for n. -1 Let c = -3216 - -3255. Solve -10*z - 9 + c = 0 for z. 3 Let m(r) = r**3 + 6*r**2 - r - 10. Let w = -156 - -151. Let g be m(w). Solve 2*f = 7*f + g for f. -...
{ "pile_set_name": "DM Mathematics" }
(e) 4 (f) -3/7 a Which is the closest to 5/757568? (a) 0 (b) -2 (c) 1/4 (d) 1/3 (e) 4 a Which is the nearest to 80? (a) 1/3 (b) -0.063 (c) 2 (d) 0 c What is the nearest to -0.245 in -1, 234, -2, -5/3? -1 What is the closest to 2/7 in 1.7, -1, -1.77, 3, -20, -0.02? -0.02 What is the nearest to -11/3 in -3/7, 3...
{ "pile_set_name": "DM Mathematics" }
cked without replacement from lzktlte. What is prob of picking 1 e and 1 t? 2/21 Two letters picked without replacement from {u: 2, r: 8, q: 9}. Give prob of picking 2 u. 1/171 What is prob of picking 1 p, 1 w, and 1 u when three letters picked without replacement from omoooupowwop? 1/55 Two letters picked without repl...
{ "pile_set_name": "DM Mathematics" }
u) = -u. Let x(t) be the first derivative of -9 + 0*t**2 + 10*t - 1/3*t**3. Let c(l) be the first derivative of x(l). Determine q(c(g)). 2*g Let c(w) be the first derivative of -4*w**3/3 - 49. Let k(l) = 26*l. Calculate k(c(h)). -104*h**2 Let p(t) = -2*t. Let y(k) = -17*k - 1374. Calculate y(p(u)). 34*u - 1374 Let w(l)...
{ "pile_set_name": "DM Mathematics" }
of 41? False Is 104 a multiple of 8? True Does 3 divide 977? False Is 12 a factor of 5532? True Is 370 a multiple of 37? True Is 471 a multiple of 2? False Is 78051 a multiple of 30? False Is 34 a factor of 7446? True Is 60 a factor of 25260? True Is 7 a factor of 90344? False Does 40 divide 18488? False Is 21 a facto...
{ "pile_set_name": "DM Mathematics" }
2*c**3*(c + 1)/15 Factor -176*g**3 + 41*g**2 - 1080 + 756*g + 31*g**2 - 145*g**4 + 193*g**4 - 4*g**5. -4*(g - 5)*(g - 3)**3*(g + 2) Determine b so that -509*b**3 + 2358*b + 1628*b**3 - 2046*b**2 - 436*b - 2*b**4 - 543*b**3 - 450*b**3 = 0. 0, 1, 31 Let i(o) = -o**2 - 45*o - 50. Let j be i(-44). Let r(w) = -2*w**2 - 5*w....
{ "pile_set_name": "DM Mathematics" }
45. Calculate the remainder when v is divided by 64. 59 Suppose 5*g - 40 = -5*n, 19*n - 1 = 17*n - 5*g. What is the remainder when n is divided by 1? 0 Suppose 3 = 4*v - 5*c, 2*v + 0*v = 2*c + 2. Suppose -3*b + v*b = -12. Let n(r) = 4*r**2 + 12*r + 29. Calculate the remainder when n(-4) is divided by b. 9 Let s = -35 +...
{ "pile_set_name": "DM Mathematics" }
Let z(u) = 4*u**2 + u + 3. Let q(m) = 13*m**2 + 3*m + 9. Let k(i) = q(i) - 3*z(i). Let d(w) = -7*w + 3. Calculate k(d(t)). 49*t**2 - 42*t + 9 Let u(i) = -6*i. Let l(h) be the first derivative of -21*h**2/2 + 3103. Give u(l(p)). 126*p Let p(w) be the third derivative of -69*w**2 - 1/12*w**4 + 0*w**3 + 0*w + 0. Let o(n) ...
{ "pile_set_name": "DM Mathematics" }
Let v(j) = -3*j**2 - 3*j + 9. Let q be v(-4). Suppose -55 = -3*i + 62. Let r = i + q. Solve -r = -0*z + 3*z for z. -4 Let t be -304 - -299 - (-30)/4*2. Solve 8 + 2 = t*m for m. 1 Suppose 4*p = -3*g + 32, -4*g = -0*p - p - 11. Let x = 3 - 1. Suppose -4 = -5*s + g*a, -x*s - 4*a = -2 + 6. Solve 5*m + 15 = -s*m for m. -3 ...
{ "pile_set_name": "DM Mathematics" }
*u**2 + 109*u - 489*u**2 - 198*u + 89*u. -2*u**2 Collect the terms in -3 + 3 - 878769*w**2 + 876563*w**2. -2206*w**2 Collect the terms in 16*y - 7*y - 3*y + 1082 - y. 5*y + 1082 Collect the terms in 5*y**2 + 2*y**2 + 5*y**2 - 18*y**2 - 83*y + 5*y**2 - 8*y. -y**2 - 91*y Collect the terms in 600*t + 20*t**2 - 2352*t + 58...
{ "pile_set_name": "DM Mathematics" }
k) = 1 + 5*k - 1 + 4*k**3 - 8*k**2. Let j be g(5). Let i = -210 + j. Is i composite? True Let z be (5 - (-4)/(-2)) + 296. Is (-10)/45 - z/(-9) composite? True Let h = 159 + 6. Suppose 6*f - f = h. Is f a prime number? False Let v(q) = 77*q + 2. Is v(1) prime? True Let c be (-3 - -2) + -7 + 2. Let s be (-1 + (-8)/c)*0. ...
{ "pile_set_name": "DM Mathematics" }
the nearest integer? 98 What is 4043 to the power of 1/10, to the nearest integer? 2 What is 98852 to the power of 1/3, to the nearest integer? 46 What is the eighth root of 3950 to the nearest integer? 3 What is the seventh root of 860 to the nearest integer? 3 What is the cube root of 2834 to the nearest integer? 14 ...
{ "pile_set_name": "DM Mathematics" }
3313 -111000100 (base 2) to base 13 -28a What is -69c (base 14) in base 16? -522 Convert 1201 (base 10) to base 15. 551 Convert 10d (base 14) to base 8. 321 What is -974 (base 10) in base 5? -12344 2341031 (base 5) to base 4 22210002 What is 27b (base 12) in base 5? 3013 What is 1130301 (base 4) in base 15? 1b5c -14941...
{ "pile_set_name": "DM Mathematics" }
{z: 5, e: 1, p: 1, i: 4}. Give prob of sequence zeii. 1/132 What is prob of sequence ow when two letters picked without replacement from wwwwwwwwowwooowwww? 28/153 Calculate prob of sequence bbby when four letters picked without replacement from {k: 3, y: 1, b: 5}. 5/252 Four letters picked without replacement from glh...
{ "pile_set_name": "DM Mathematics" }
he closest to -3/43? (a) 1/4 (b) 28 (c) -5 a Which is the closest to 1? (a) 0.02 (b) -3 (c) 0.1 c Which is the closest to -1/4? (a) -7 (b) -14 (c) -0.3 c Which is the closest to 0.1? (a) 11 (b) 4 (c) -161 (d) 5 b What is the nearest to -3/7 in 5, 0.5, 2, -2? 0.5 What is the nearest to -1/3 in -0.17, 19, -5...
{ "pile_set_name": "DM Mathematics" }
Let s be 4/10 + 8/(-8). Let x = 1.1 - 1. Which is the closest to x? (a) s (b) 1/2 (c) -2/3 b Suppose -5*w = -10*w + 15. Which is the closest to -0.2? (a) -2/7 (b) w (c) 2 a Let j = -0.05 + -0.01. Let t = j + 0.26. Which is the closest to 1? (a) -5 (b) t (c) -3/2 b Let r = 1.5 + -0.5. Let m = 1 + r. Which is t...
{ "pile_set_name": "DM Mathematics" }
ement from kbkyekkdzkk. 2/55 Three letters picked without replacement from axxxxxxxaaaxxxxxxxx. Give prob of picking 1 x and 2 a. 30/323 Three letters picked without replacement from {d: 4, n: 5, t: 4, f: 6}. Give prob of picking 2 n and 1 t. 40/969 Calculate prob of picking 2 p and 2 d when four letters picked without...
{ "pile_set_name": "DM Mathematics" }
-712.4. What is c rounded to the nearest integer? 4 Let t be 10/(-15) - (-158)/(-6). Let l be (1 - (0 - 1))*9581/26. Let c = t + l. What is c rounded to the nearest 100? 700 Let w = -29355 + 29146.07. Let o = 146 - -62. Let i = w + o. Round i to 1 dp. -0.9 Suppose -4*d - 82864957 - 412615043 = 0. What is d rounded to ...
{ "pile_set_name": "DM Mathematics" }
3 What is the highest common divisor of 59 and 8791? 59 What is the greatest common divisor of 3328 and 2304? 256 What is the highest common factor of 3565 and 20? 5 What is the highest common factor of 16 and 64? 16 Calculate the greatest common factor of 609 and 105. 21 What is the greatest common factor of 23075 and...
{ "pile_set_name": "DM Mathematics" }
o(-7). 1 Let q(b) = 3*b - 27. Give q(12). 9 Let g(x) = x**3 + 7*x**2 + 5*x + 7. What is g(-5)? 32 Let i(y) = y**3 + 5*y**2 - 3*y - 11. What is i(-5)? 4 Let k(p) = -p**3 - 7*p**2 + 4*p - 9. Determine k(-8). 23 Let i(v) = -2*v - 3. Give i(10). -23 Let b(n) = 2*n**2 - 14*n + 18. Determine b(6). 6 Let k(a) = -14*a + 487. G...
{ "pile_set_name": "DM Mathematics" }
= -124*j + 151*j - 5865 for j. 17 Solve -187*x - 402 = -97*x - 157*x for x. 6 Solve -721*w - 476 = -749*w for w. 17 Solve 1494 + 365 = -907*n + 1076*n for n. 11 Solve -16*o = -344 + 344 for o. 0 Solve -315*v + 56 + 64 - 120 = 0 for v. 0 Solve -15*r + 175 - 1716 = -82*r for r. 23 Solve 2471*v + 132 = 2483*v for v. 11 So...
{ "pile_set_name": "DM Mathematics" }
= 5904*q**3 - q**2. Let x be 4/(-8) + 9/6. Is s(x) prime? True Suppose 6*g + 3580 = -11462. Let s = g - -3606. Is s a prime number? False Let a be (-5470)/(-5)*(-1)/(-2). Suppose -a + 212 = -5*t. Is t composite? False Let l(t) be the first derivative of -75*t**2/2 - 8*t - 39. Is l(-9) composite? True Suppose -v + 5 - 1...
{ "pile_set_name": "DM Mathematics" }
- 3. What is the units digit of j(q)? 5 Let p be ((-408)/(-18))/2*-18. Let u = 441 + p. What is the hundreds digit of u? 2 Suppose -11*i + 5*g = -9*i - 3714, 2*g - 3700 = -2*i. What is the tens digit of i? 5 What is the hundreds digit of (2 + -111)*275/(-25)? 1 Let i be 8/5 - (-40)/100. What is the tens digit of 348/6 ...
{ "pile_set_name": "DM Mathematics" }
9 AM? 10:21 AM How many minutes are there between 3:06 AM and 7:55 AM? 289 How many minutes are there between 10:02 PM and 6:54 AM? 532 What is 115 minutes before 7:26 PM? 5:31 PM What is 607 minutes before 7:41 AM? 9:34 PM What is 681 minutes after 1:55 AM? 1:16 PM What is 211 minutes before 7:17 AM? 3:46 AM What is 4...
{ "pile_set_name": "DM Mathematics" }
rivative of x(f) wrt f. 840*f**3 Let n(p) be the first derivative of -2*p**5/5 - 5*p + 4. Differentiate n(x) with respect to x. -8*x**3 Let g(b) be the first derivative of -2*b**5 - 10*b + 8. What is the first derivative of g(p) wrt p? -40*p**3 Find the second derivative of -10*b**5 + b - 9*b**5 + 13*b**5 wrt b. -120*b...
{ "pile_set_name": "DM Mathematics" }
*(x + 1)/3 Let s(d) be the third derivative of -d**5/630 + d**4/126 - d**3/63 + d**2. Find g, given that s(g) = 0. 1 Factor 1801*r**3 + 16*r**2 - 1837*r**3 + 24*r**4 + 2*r**5 - 6*r**5. -4*r**2*(r - 4)*(r - 1)**2 Let h = 2076 + -435959/210. Let o(u) be the third derivative of 0*u**6 + 0 + 0*u**3 + 0*u - 1/60*u**5 + 0*u*...
{ "pile_set_name": "DM Mathematics" }
127 at least -25646? True Is 30/8580857 <= 0? False Do 130684237 and 130684236 have the same value? False Which is bigger: 28613 or 457791/16? 28613 Which is greater: 12057502 or 12057503? 12057503 Which is greater: -32806649 or -32806641? -32806641 Is -419 smaller than -360015/857? False Which is smaller: -3767986/19...
{ "pile_set_name": "DM Mathematics" }
the second biggest value in -0.1, j, w? -0.1 Let o be (54/(37 - 28))/((-9)/(-2)). Suppose 2*l + 2 = -0*l. Let a = 13 + -13. What is the third smallest value in l, a, o, 3? o Let d be 2/(2*31)*-1. Let j be (-51)/(-17) - 105/6*5/25. Which is the second smallest value? (a) j (b) d (c) -1/3 c Let p = -18651 + 18651.3. L...
{ "pile_set_name": "DM Mathematics" }
en 10793 is divided by 1794? 29 What is the remainder when 76744 is divided by 6395? 4 Calculate the remainder when 41631 is divided by 43. 7 Calculate the remainder when 35353 is divided by 1432. 985 What is the remainder when 1112862 is divided by 521? 6 What is the remainder when 93919 is divided by 3? 1 Calculate t...
{ "pile_set_name": "DM Mathematics" }
23707/4 -2 divided by 116176 -1/58088 Calculate 237 divided by 849. 79/283 Divide 66 by -15. -22/5 What is -34268 divided by 17134? -2 6147 divided by -463 -6147/463 What is -13 divided by 1141? -13/1141 Calculate -1204804 divided by -4. 301201 Divide -96 by 3917. -96/3917 Divide 86024 by -21506. -4 Calculate 3156 divi...
{ "pile_set_name": "DM Mathematics" }
e 0 = 12*a - 18*a + 78. Calculate the remainder when a is divided by 4. 1 Let n(v) = -v + 1. What is the remainder when 57*-1*(-5)/15 is divided by n(-6)? 5 Suppose 48 = 2*p + p. Suppose 5*v - 318 = -3*i - 0*i, -v - 5*i = -68. What is the remainder when v is divided by p? 15 Suppose -15 = -3*f + 3*k - 6*k, 5*f - 4*k - ...
{ "pile_set_name": "DM Mathematics" }
How many minutes are there between 6:59 PM and 4:37 AM? 578 How many minutes are there between 6:39 PM and 9:14 PM? 155 How many minutes are there between 3:22 PM and 1:52 AM? 630 How many minutes are there between 7:26 AM and 1:38 PM? 372 What is 429 minutes before 9:33 AM? 2:24 AM What is 251 minutes before 9:56 PM?...
{ "pile_set_name": "DM Mathematics" }
6)? True Let k(x) = -26*x + 2. Is 11 a factor of k(-1)? False Suppose 0 = 4*l - 9 - 291. Is l a multiple of 25? True Let n = 19 - 28. Does 13 divide (-2 - n/(-6))*-6? False Suppose 3*z - 96 = -4*u - 269, -2*u + 5*z - 93 = 0. Let c = -30 - u. Does 6 divide c? False Suppose 5*m + 61 = 2*a + 563, -4*m + 403 = -3*a. Is m a...
{ "pile_set_name": "DM Mathematics" }
when four letters picked without replacement from hhhhhhnhhhc. 14/55 Calculate prob of picking 1 j, 1 l, and 1 f when three letters picked without replacement from {i: 1, l: 1, j: 2, f: 2, m: 2}. 1/14 Calculate prob of picking 1 s and 1 y when two letters picked without replacement from wisswwyitsirr. 1/26 Calculate pr...
{ "pile_set_name": "DM Mathematics" }
d -5915922000 to the nearest one million. -5916000000 Round 0.152028 to 3 decimal places. 0.152 What is 489.208 rounded to the nearest 10? 490 Round -6884390 to the nearest one hundred thousand. -6900000 Round -0.602903 to 3 decimal places. -0.603 What is 481987.7 rounded to the nearest one hundred thousand? 500000 Rou...
{ "pile_set_name": "DM Mathematics" }
9 What is (-70)/7*2*46/14*(-84)/48? 115 Calculate 8/2*(-6)/(-24)*16*258/(-3440). -6/5 (((-5865)/(-17))/(-5))/(90/(-6)) 23/5 What is the value of (-60*((-5526)/23025)/(2/(-3)*-3))/3? 12/5 Calculate (-16762)/(-986)*5/(10/(-4)). -34 25*(-21)/(-9660)*64/40 2/23 (-1)/(-267)*72/6*(-4)/16 -1/89 Evaluate 122/(-305)*(-1200)/256...
{ "pile_set_name": "DM Mathematics" }
- 0)? 1 What is the value of -32 + 30 + (-3 - -1)? -4 What is -33 + 23 + (1 - -7)? -2 -2 + -1 + (2 - 4) -5 Evaluate -5 + 3 + (-1 - -5 - 2). 0 What is (4 - 10 - 1) + 7? 0 What is the value of 3 + (4 - 3) - (14 + -7)? -3 0 + 2 + -1 + -2 -1 0 + -3 + -3 - (6 - 6) -6 6 - (7 + (2 + 1 - 5)) 1 Evaluate 2 + 1 + (4 - 9). -2 What...
{ "pile_set_name": "DM Mathematics" }
-0.1, s? 3/5 Let p = 0.892 + -0.892. Which is the third biggest value? (a) -10 (b) p (c) 8 a Let g be 14/(112/(-36))*(-4)/(-6). Which is the third biggest value? (a) g (b) -2/11 (c) 9/2 a Let z = 0.5 - 0.3. Let m be (-2)/(9/(-189)*-2). What is the third smallest value in z, m, -1? z Let t be 10/(-8) - (-1785)/126...
{ "pile_set_name": "DM Mathematics" }
+ -3)*(-98)/(-4). Let d = 50 + r. What is the tens digit of d? 9 Let b(o) = -4*o + 1. Suppose -4*t + 8 = -0. Suppose -3*u + t*f - 14 = 0, 3*u + 4*f - 5 - 5 = 0. What is the units digit of b(u)? 9 Suppose -4*j + 3*f = -419, f = -f - 10. Let o be ((j - -3)/(-2))/(-2). Suppose o = a + 6. What is the tens digit of a? 2 Le...
{ "pile_set_name": "DM Mathematics" }
base 12. -a5 What is 100200 (base 3) in base 12? 199 -10 (base 9) to base 16 -9 Convert 14 (base 11) to base 3. 120 -1 (base 13) to base 7 -1 What is 12 (base 11) in base 8? 15 Convert -18 (base 14) to base 15. -17 What is 1010110 (base 2) in base 10? 86 Convert -4 (base 9) to base 4. -10 Convert -2 (base 14) to base ...
{ "pile_set_name": "DM Mathematics" }
ve r(p(s)). 48*s**2 Let x(w) = 2*w - 4. Let j(a) = 3*a - 5. Let q(g) = -4*j(g) + 5*x(g). Let o(u) = -u + 12. Let d be o(9). Let r(v) = -3 + d + 0 - 5*v**2. Calculate q(r(l)). 10*l**2 Let v(t) = 168*t + 9. Let d(f) = -36*f. Calculate d(v(x)). -6048*x - 324 Let d(f) = f. Let j(s) = -s**3 - 9*s**2 + 21*s - 11. Let z be j(...
{ "pile_set_name": "DM Mathematics" }
t l be j(1). Solve -4*g + 4*d - l = 0, -d + 2 = 3 for g. -5 Let s(o) = 15*o + 3. Let l be s(1). Solve 4*g - 16 = -4*j, -4*j + l - 5 = 3*g for j. 1 Suppose -6*f + 2*s = -9*f + 9, -3*s = 0. Solve 0 = f*l + 3*c, -l - 5*c + 7 = 23 for l. 4 Let o(u) = -u**3 + 36*u**2 - 98*u - 29. Let q be o(33). Solve 7 = q*y + 2*a - 1, -10...
{ "pile_set_name": "DM Mathematics" }
429577, -1 in increasing order. -1, -0.2, 429577 Sort 1.1, 0.04, -255/7, 3, 2/3. -255/7, 0.04, 2/3, 1.1, 3 Put 19.7, 0.1, 0, -1 in descending order. 19.7, 0.1, 0, -1 Put -0.21, -3/14, -2/5, 1/4, -0.01 in decreasing order. 1/4, -0.01, -0.21, -3/14, -2/5 Put -1, 339, 1, 2 in decreasing order. 339, 2, 1, -1 Put -25, -1, ...
{ "pile_set_name": "DM Mathematics" }
r*a - 3*x. Suppose 0 = -5*l, -a*y + 7*y + 4*l - 50 = 0. Solve 0 = z - 3*z + y for z. 5 Let h = -86 + 88. Solve -z = -0 - h for z. 2 Let j = -2 + 4. Let x(o) = 4*o - 2. Let f be x(j). Solve -4*p - f = -p for p. -2 Let v be 4/((-5)/(15/6)). Let m be 1 - 2 - (v + 1). Let k be 2/8 - (-33)/12. Solve m*x = -k*x - 12 for x. -...
{ "pile_set_name": "DM Mathematics" }
of picking 1 q and 1 s when two letters picked without replacement from qsq? 2/3 Two letters picked without replacement from hhhhahhhhhhhhhhhhh. What is prob of picking 2 h? 8/9 Two letters picked without replacement from {b: 2, r: 3, p: 10}. What is prob of picking 2 b? 1/105 Calculate prob of picking 4 g when four l...
{ "pile_set_name": "DM Mathematics" }
-1.8183. Let w = q + v. Round w to two decimal places. 0.03 Let m(l) = -16*l**2 - 4*l - 8 - 3758*l**3 + 0 + 2. Let g be 6 - -68*7/(-28). Let d be m(g). What is d rounded to the nearest 1000000? 5000000 Let d = -23.028 + 0.028. Let i = 32 + d. Let c = i + -9.016. What is c rounded to two dps? -0.02 Let m be (4/6)/((-6)/...
{ "pile_set_name": "DM Mathematics" }
24/(-27)). 3/8 What is 3/(-3)*-6*(-16)/60? -8/5 ((-5)/10)/((-6)/(-60)) -5 Evaluate ((48/30)/4)/((-217)/155). -2/7 ((-444)/(-333))/((-14)/3)*(-21)/75 2/25 What is 10/(-8)*41/2583*-56? 10/9 Evaluate ((208/(-1950))/((-2)/(-3)))/((-1)/(-5)). -4/5 What is (-19)/13*8671/(-1334)? 19/2 What is 10/(-18)*520/650? -4/9 What is th...
{ "pile_set_name": "DM Mathematics" }
- 5. Let c = -13 + d. Let m = -1 + c. What is the lowest common multiple of m and 7? 70 Suppose -5*m - 65 = -5*l, -3*l - 5*m + 35 = 2*l. What is the least common multiple of 52 and l? 260 Let d(p) = p + 8. Suppose 5*t - 51 = 2*r, -3*r - 35*t = -30*t + 89. Calculate the lowest common multiple of d(-4) and 2/7 + (-608)/...
{ "pile_set_name": "DM Mathematics" }
*p(d) + 3*k(d). What is the first derivative of x(i) wrt i? 3 Let y(t) = 3*t + 8. Let g = 3 + -8. Let a(k) = 4*k + 9. Let u(h) = g*a(h) + 6*y(h). What is the first derivative of u(j) wrt j? -2 Let c(w) = -w**3 + w - 2. Let n be c(-2). Differentiate 2*x**2 + n - 5*x**2 + x**2 - 1 wrt x. -4*x Suppose a - x = -6*x - 23, 4...
{ "pile_set_name": "DM Mathematics" }
/n assuming n is positive. n**(34/65) Simplify (n**(2/9)/(n/(n/n**9)))/(n**(-4)*n**0) assuming n is positive. n**(-43/9) Simplify ((m*m/m**37)/m*m**(-25))**(-8/5) assuming m is positive. m**(488/5) Simplify (h**3)**(9/2)/(h**(-2/11))**(-2/63) assuming h is positive. h**(18703/1386) Simplify ((o**(-5)/o)/o**(6/11)*((o/(...
{ "pile_set_name": "DM Mathematics" }
3*r + 0*r**3 - 1/25*r**5 + 1/30*r**4 + 0. Factor w(v). 2*v**2*(v - 1)**2/5 Let h = 921 + -4603/5. Factor h*d**2 - 2/5*d + 24/5*d**3 + 0. 2*d*(3*d + 1)*(4*d - 1)/5 Let 90*v**2 + 2*v**5 - 4*v**5 - 200*v**4 - 33*v**5 - 255*v**3 = 0. Calculate v. -3, 0, 2/7 Let c(w) be the second derivative of -w**7/280 + w**6/40 - w**5/2...
{ "pile_set_name": "DM Mathematics" }
- 23) + 21? -1 1 - ((-16 - 9) + 25) 1 Evaluate 413 + -390 - (26 - -1). -4 What is -2 - 1 - (37 + -25 + -10) - -4? -1 Calculate 7 + -1 + (16 - 26) + -12 + 7. -9 What is 5 - (1 - 1) - (13 - 5 - -11)? -14 Evaluate 7 + 7 + (-3 - (5 - 2) - 7). 1 -4 + (-9 - -8) + -1 - (2 - -5) -13 Calculate -27 - (-27 - (-33 - -8)). -25 8 + ...
{ "pile_set_name": "DM Mathematics" }
a**2 + 3. Let f(p) = p**4 + p**3 - p**2 - 1. Let q(k) = -6*f(k) - n(k). Find the third derivative of q(u) wrt u. -984*u Let t(h) be the third derivative of -2*h**7/105 + 23*h**5/60 + 11*h**2. Find the third derivative of t(g) wrt g. -96*g Let u(a) be the first derivative of 0*a**2 + 0*a**6 + 4 - 2/7*a**7 - 1/3*a**3 + 0...
{ "pile_set_name": "DM Mathematics" }
1, h Suppose -9 = -0*c + 3*c. Let q(f) = -2*f - 7. Let h be q(c). Sort -4, h, 1 in descending order. 1, h, -4 Suppose 2*m - t - 3 + 8 = 0, m - t + 1 = 0. Let j = 0.03 - 0.03. Put j, 1, -0.5, m in increasing order. m, -0.5, j, 1 Let v = -542 + 545. Put v, -4, -70 in increasing order. -70, -4, v Let w be 28/42*3/2. Let v...
{ "pile_set_name": "DM Mathematics" }
rounded to the nearest ten? 330 What is -0.00000853232 rounded to 6 decimal places? -0.000009 Round -8203530.8 to the nearest 10000. -8200000 What is -0.0000003921316 rounded to 7 decimal places? -0.0000004 Round 2.253173 to two dps. 2.25 Round -0.000113964 to five dps. -0.00011 Round -27.42258 to the nearest 10. -30 ...
{ "pile_set_name": "DM Mathematics" }
t to 0 in 4, -1/13, 2? -1/13 What is the nearest to 1/5 in 0.3, -4, 3, 29? 0.3 What is the nearest to 0.3 in 22, -2/3, 4, 1? 1 What is the closest to 25 in 3, -0.03, 0? 3 What is the closest to -13 in 2/3, -1/5, -0.4? -0.4 Which is the closest to -0.5? (a) 8 (b) 21 (c) -0.4 (d) 0 c Which is the closest to -0.1? (a...
{ "pile_set_name": "DM Mathematics" }
Suppose -5*n + 25 = 0, -3*m - 5*n + 61 = -d*m. What is the units digit of m? 2 Let i(f) = -5*f + 14. What is the units digit of i(-10)? 4 Let n(c) = c**3 - c**2 - 4*c + 1. Suppose 45 = -0*p + 3*p. Suppose b = 4*y - y + p, y - 5 = -3*b. What is the units digit of n(b)? 7 Let g = -2 - -6. Let i = g + -4. Suppose -w = -5*...
{ "pile_set_name": "DM Mathematics" }
nearest to -2? (a) 3 (b) -0.2 (c) 5 (d) -0.16 b Which is the nearest to -1? (a) 2/7 (b) -8/23 (c) 2 b What is the closest to 0.8 in -5/6, 10, 11? -5/6 What is the nearest to -3 in 2/21, -0.8, 4? -0.8 Which is the nearest to -39? (a) -0.5 (b) -1/5 (c) 1.3 a What is the closest to -2/9 in 1/3, 0.06, 0.5, -1? 0...
{ "pile_set_name": "DM Mathematics" }
287/(-82)*(-8)/14. Let t = 2 + -2.5. Which is the closest to k? (a) t (b) 1.1 (c) 0 b Let o = -25 + 16. Let u = 72 + -67. Let s = o + u. What is the nearest to 3 in 0.1, 2, s? 2 Let t be (0 + -3)/(3/4). Which is the nearest to -2/17? (a) t (b) -7 (c) 4 (d) 5 a Let s = 1 - 1. Suppose 13 = 5*w + 8. Let z be w/(-4...
{ "pile_set_name": "DM Mathematics" }
2 - t**2*v - 2*t*v**2 + 83*v**2 + 16*v wrt t? 10160*v**2 - 2*v Find the third derivative of -20*i*r**3 - 5*i*r**2 + 10*i*r - 4*r**6 wrt r. -120*i - 480*r**3 Find the third derivative of 16*h*y**4 - 2*h*y**3 + 4*h*y**2 - 4*h*y + y**4 - 2*y**2 wrt y. 384*h*y - 12*h + 24*y What is the third derivative of -10433*b**3*y**2 ...
{ "pile_set_name": "DM Mathematics" }
*v - 1526 = -2*v. Is v composite? True Suppose 364 = 2*b - 96. Let o = -516 + 1217. Suppose -h - b = -o. Is h composite? True Suppose 4*o + 31 = -0*i - i, o - 3*i + 11 = 0. Let j(t) be the first derivative of -t**4/4 - t**3 + 9*t**2/2 + 5*t + 10. Is j(o) a composite number? True Let o = -28 + 31. Suppose -5*q = 2*n + o...
{ "pile_set_name": "DM Mathematics" }
t is the third derivative of -24738085*i*w**3*y - i*w**2*y - i*w**2 + 9*i*w*y + 4*i - 6*w**3*y + 4257*w**2 + 43*w*y + 1 wrt w? -148428510*i*y - 36*y Differentiate 2*d**3*s + 534364*d*s + 37566122*s wrt d. 6*d**2*s + 534364*s Differentiate -21564332*g**2 + 77950364 wrt g. -43128664*g Find the second derivative of -95*b*...
{ "pile_set_name": "DM Mathematics" }
? 0 Which is the smallest value? (a) -5 (b) -1.7 (c) -0.3 a Which is the smallest value? (a) -0.023 (b) -5 (c) 2/7 b Which is the biggest value? (a) 0.2 (b) 5 (c) 1 b Which is the biggest value? (a) 0.07 (b) -13/4 (c) 0 a What is the second smallest value in 1/10, -1, -2/7, -2, -4.7? -2 What is the third sm...
{ "pile_set_name": "DM Mathematics" }
ctor of x? True Suppose -677 = d - 5*d + 3*u, -169 = -d + u. Suppose 2*v = -f - 4*f + d, -2*f = -5*v - 39. Is 8 a factor of f? True Let a = 1584 - 957. Is 19 a factor of a? True Does 67 divide 1876/(-8)*(-2760)/161? True Let k be 3 - (-27 + 0 + -4). Suppose -9*d + k = -8*d. Does 17 divide d? True Suppose 4*a + 76 = 4*d...
{ "pile_set_name": "DM Mathematics" }
grams are there in one quarter of a milligram? 250 What is 5/4 of a century in months? 1500 How many millilitres are there in seven quarters of a litre? 1750 How many milliseconds are there in fourty-five quarters of a second? 11250 What is 28.976 millennia in decades? 2897.6 What is 1/5 of a millimeter in micrometers?...
{ "pile_set_name": "DM Mathematics" }
from txdxxxdxdgxxfxxfd. Give prob of sequence df. 1/34 Calculate prob of sequence yx when two letters picked without replacement from {x: 1, y: 3}. 1/4 What is prob of sequence tt when two letters picked without replacement from btbbtttttttbttbttttt? 21/38 What is prob of sequence jy when two letters picked without rep...
{ "pile_set_name": "DM Mathematics" }
ed without replacement from jycnyjynrn. Give prob of sequence rncy. 1/560 What is prob of sequence zu when two letters picked without replacement from {u: 2, b: 2, z: 8, q: 2}? 8/91 Calculate prob of sequence dz when two letters picked without replacement from {r: 4, d: 2, z: 1}. 1/21 What is prob of sequence rjr when ...
{ "pile_set_name": "DM Mathematics" }