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r? 62500 Convert 155151.747 microseconds to days. 0.0000017957378125 How many millilitres are there in 698.1132 litres? 698113.2 Convert 6.350874us to minutes. 0.0000001058479 What is 56577.9km in nanometers? 56577900000000000 How many minutes are there in 64/5 of a hour? 768 Convert 521.4427um to kilometers. 0.0000005...
{ "pile_set_name": "DM Mathematics" }
on multiple of 102 and 4? 204 What is the common denominator of -15/8 and 67/255126? 1020504 Calculate the common denominator of -1/187425 and -71/261. 5435325 Find the common denominator of -3/8 and 17/3962. 15848 Calculate the common denominator of -97/209652 and 62/21. 1467564 What is the least common multiple of 19...
{ "pile_set_name": "DM Mathematics" }
-y + 2*b - m, 4*y = b - 14 - 2 for y. -4 Let o(z) = z**2 + 6*z + 4. Suppose 2*p + 30 = -5*y, 3*y + 6 = -4*p - 12. Let s be o(y). Solve -s*h - 1 + 5 = 4*k, k = 3*h - 15 for k. -3 Let j = 6 - 3. Suppose -b - j = -2*b. Suppose -3*u = -3*p + 9, -p - b*u = -u + 3. Solve 0 = -2*f - 4*x + 15 + p, -3*f = 3*x - 18 for f. 4 Let...
{ "pile_set_name": "DM Mathematics" }
) be the first derivative of w**2 + 105. Calculate t(m(h)). -8*h**2 + 12*h Let f(z) = -19*z - 13. Let k(q) = -3*q - 2. Let i(a) = -6*f(a) + 39*k(a). Let s(u) be the third derivative of u**5/20 + 49*u**2. Determine s(i(t)). 27*t**2 Let x(z) = 5*z**2 - 2*z. Let r(q) = 37*q**2 - 15*q. Let t(b) = -2*r(b) + 15*x(b). Let f(m...
{ "pile_set_name": "DM Mathematics" }
/9) Simplify (k**(-1/7)/(k*k**(2/7)))/(k**(1/4))**(-5) assuming k is positive. k**(-5/28) Simplify ((l**(2/7))**44)**17 assuming l is positive. l**(1496/7) Simplify ((c/(c/(c*c/(c*c**(2/7)))))/c*c)/(c*c*(c**(-2/15)*c)/c)*(c**(1/6)*c*c)/c*c*c*c/c**(2/7) assuming c is positive. c**(191/70) Simplify (m*m**0*m*m)**(-2/113)...
{ "pile_set_name": "DM Mathematics" }
is divided by 31? 16 Calculate the remainder when 610 is divided by 123. 118 What is the remainder when 985 is divided by 124? 117 What is the remainder when 184 is divided by 35? 9 What is the remainder when 103 is divided by 29? 16 What is the remainder when 514 is divided by 110? 74 What is the remainder when 812 is...
{ "pile_set_name": "DM Mathematics" }
nteger? 558 What is 74348640 to the power of 1/8, to the nearest integer? 10 What is the fourth root of 21035437 to the nearest integer? 68 What is 70930974 to the power of 1/3, to the nearest integer? 414 What is 124958515 to the power of 1/3, to the nearest integer? 500 What is 275419851 to the power of 1/6, to the n...
{ "pile_set_name": "DM Mathematics" }
d by 55. 54 Calculate the remainder when 8902 is divided by 17. 11 What is the remainder when 465 is divided by 43? 35 What is the remainder when 1970 is divided by 403? 358 Calculate the remainder when 5938 is divided by 18. 16 What is the remainder when 102 is divided by 83? 19 What is the remainder when 68 is divide...
{ "pile_set_name": "DM Mathematics" }
96, 2704 = -3*h - 0*h + n. Round h to the nearest one hundred. -900 Let l = -38.177 - 0.923. Let p = l + 21.7. What is p rounded to zero dps? -17 Let y(o) = 37656*o**3 + 5*o - 4. Let l be y(4). Round l to the nearest one hundred thousand. 2400000 Let x = 3.7 - 18.7. Let v = 3.6 + x. Round v to zero decimal places. -11 ...
{ "pile_set_name": "DM Mathematics" }
*j - 4*w - 21 = 0, 12 = -4*w. Calculate j*s(g) - 4*a(g). -2*g - 1 Let w(s) = -7*s**2 - 7. Let c(r) = r**2 + 1. Suppose -a + 5*a + 4 = 0, 3*a - 2 = -k. Calculate k*c(b) + w(b). -2*b**2 - 2 Let j(n) = 2584*n**2 - 153*n - 153. Let y(q) = 34*q**2 - 2*q - 2. Give 2*j(g) - 153*y(g). -34*g**2 Let l(k) = 1. Let d(t) = -t - 11....
{ "pile_set_name": "DM Mathematics" }
, 4/3, 4? 4/3 Let n = -77.3 - -77. Let s = 260/3 - 86. Let t = 71 + -70. What is the nearest to t in s, -2, n? s Let s be (1876/6566)/(-1 - 4/(-7)). What is the nearest to 0 in 2, s, 0.5, 131? 0.5 Let p = -1098 + 1098.1. What is the nearest to -0.3 in -2/23, 2/3, -0.3, p? -0.3 Let y = -17226.5 + 17226. What is the near...
{ "pile_set_name": "DM Mathematics" }
vrvccrccccrvvrcrrccc. Give prob of sequence rcvr. 10/969 What is prob of sequence wwrw when four letters picked without replacement from {w: 3, a: 15, r: 2}? 1/9690 Four letters picked without replacement from rcrrccllircrki. Give prob of sequence lclc. 1/1001 Three letters picked without replacement from hyhyyqqhhyy. ...
{ "pile_set_name": "DM Mathematics" }
47 to 5 dps. 0.00019 What is -3.329019419 rounded to one decimal place? -3.3 Round -0.00000277452591 to six dps. -0.000003 Round -346029997.99 to the nearest 10000. -346030000 Round -1.42622853 to the nearest integer. -1 What is 13285.82907 rounded to the nearest 1000? 13000 What is -48.5762428 rounded to zero dps? -49...
{ "pile_set_name": "DM Mathematics" }
qrt(272) + -3)*1)) + 2)**2. -168*sqrt(17) + 2497 Simplify sqrt(396) + 0 + -1 + -1 + sqrt(396) + -4 + sqrt(396) + 2*sqrt(396) + 5 + -1*sqrt(396) + -1. -2 + 24*sqrt(11) Simplify (-3*(sqrt(133)*2 + sqrt(133)) + sqrt(133) + (sqrt(133) - 1*(sqrt(133) + -2*sqrt(133) + sqrt(133))))/(5*(2*sqrt(847) + sqrt(847)) - sqrt(847)) + ...
{ "pile_set_name": "DM Mathematics" }
989*j - 97*x wrt j? 3763855590*x Find the second derivative of 60744*l**3*x**3 - 3*l**3*x - 20*l**2*x**4 + 227*l**2*x - 115*l*x wrt x. 364464*l**3*x - 240*l**2*x**2 Differentiate -587317*j**2 - 402*j*l**2 + 41*l**2 + 23*l - 57367 with respect to j. -1174634*j - 402*l**2 What is the second derivative of -3817096*d**4*r ...
{ "pile_set_name": "DM Mathematics" }
5, 1220624, 1220635, 1220648, 1220663? j**2 + 2*j + 1220600 What is the a'th term of 7184, 14360, 21548, 28754, 35984? a**3 + 7169*a + 14 What is the f'th term of -69, -224, -461, -768, -1133? 2*f**3 - 53*f**2 - 10*f - 8 What is the z'th term of 182071, 182074, 182077? 3*z + 182068 What is the a'th term of 78, 112, 166...
{ "pile_set_name": "DM Mathematics" }
s of 1269. 3, 47 List the prime factors of 4243. 4243 What are the prime factors of 43281? 3, 7, 229 What are the prime factors of 31523? 29, 1087 List the prime factors of 6768. 2, 3, 47 What are the prime factors of 15809? 15809 What are the prime factors of 245? 5, 7 What are the prime factors of 4455? 3, 5, 11 What...
{ "pile_set_name": "DM Mathematics" }
2506. 156 Calculate the remainder when 564918 is divided by 329. 25 Calculate the remainder when 2980 is divided by 53. 12 What is the remainder when 2537 is divided by 65? 2 Calculate the remainder when 42519 is divided by 1646. 1369 Calculate the remainder when 1038 is divided by 10. 8 Calculate the remainder when 21...
{ "pile_set_name": "DM Mathematics" }
ore 4:06 PM? 8:42 AM How many minutes are there between 10:12 AM and 11:54 AM? 102 How many minutes are there between 4:43 AM and 4:27 PM? 704 What is 419 minutes before 5:09 PM? 10:10 AM What is 137 minutes before 3:35 PM? 1:18 PM What is 418 minutes before 8:36 PM? 1:38 PM What is 539 minutes after 1:39 AM? 10:38 AM ...
{ "pile_set_name": "DM Mathematics" }
71 19.471 Subtract 1.2 from -81735. -81736.2 What is 1.33988 take away 0? 1.33988 Calculate -29 + -196. -225 What is 0.878 - 7? -6.122 Sum -11031424 and 5. -11031419 -5 - -91.3361 86.3361 What is the distance between 2626 and -10.8? 2636.8 Work out -1085 - 59. -1144 What is 0.2 minus 3250? -3249.8 What is the differenc...
{ "pile_set_name": "DM Mathematics" }
(((w**(9/4)*w)/w)/w**(-2/25))**(-23/6) assuming w is positive. w**(103757/13800) Simplify ((k**(2/19))**(-2/51)*k*k/(k*k*k**(1/4))*k*k**(2/49))**(27/2) assuming k is positive. k**(1344699/126616) Simplify (((z**5*z*(z/(z**(-1/9)*z)*z)/z)/(((z*z**(-2/7)*z)/z)/(z/((z*(z*z/(z/z**(-6)))/z)/z*z))))**25)**(-10/7) assuming z ...
{ "pile_set_name": "DM Mathematics" }
e ten thousands digit of 10713366? 1 What is the hundreds digit of 5469401? 4 What is the hundred thousands digit of 3532173? 5 What is the hundreds digit of 3607925? 9 What is the units digit of 2892509? 9 What is the tens digit of 2274614? 1 What is the millions digit of 1679904? 1 What is the ten thousands digit of ...
{ "pile_set_name": "DM Mathematics" }
tes are there between 10:59 AM and 4:30 PM? 331 How many minutes are there between 3:30 AM and 6:35 AM? 185 How many minutes are there between 2:35 AM and 3:10 AM? 35 What is 286 minutes after 12:27 AM? 5:13 AM How many minutes are there between 8:53 AM and 10:22 AM? 89 How many minutes are there between 12:46 PM and 1...
{ "pile_set_name": "DM Mathematics" }
t common multiple of 17 and 29. 493 Calculate the common denominator of -1/410 and -97/30. 1230 Calculate the lowest common multiple of 246 and 246. 246 Calculate the least common multiple of 11 and 223. 2453 Calculate the smallest common multiple of 14 and 1239. 2478 Calculate the lowest common multiple of 396 and 450...
{ "pile_set_name": "DM Mathematics" }
er? True Let d = -496 + 960. Suppose 108 = -4*c + d. Is c composite? False Suppose -36 = -3*u - 6. Let n = -6 + u. Suppose z - 45 = n. Is z a prime number? False Suppose -3*o + 3*l + 0*l + 1188 = 0, -2*l + 1987 = 5*o. Is o a prime number? True Let u(v) = v + 2. Let w be u(4). Let a(o) = 6*o**3 - 2*o**2 + 8*o - 13. Is a...
{ "pile_set_name": "DM Mathematics" }
smallest common multiple of 5 and b? 25 Suppose -127 = -21*u + 83. Calculate the smallest common multiple of u and 45. 90 Let n = -137 + 129. What is the lowest common multiple of (2 - (1 - -4))*n/12 and ((-36)/(-21))/((-1)/(-7))? 12 Let x be 4/4*(4 - -1). Let o be (x - 5)*1/(-3). Suppose -5*s + 0*v + 2*v + 50 = o, 2*v...
{ "pile_set_name": "DM Mathematics" }
of picking 1 a and 1 d? 16/45 What is prob of picking 1 r and 1 c when two letters picked without replacement from cccrqrr? 3/7 Two letters picked without replacement from {h: 5, b: 1, l: 2, x: 2, r: 1, p: 4}. What is prob of picking 1 x and 1 h? 2/21 Calculate prob of picking 1 o and 1 j when two letters picked withou...
{ "pile_set_name": "DM Mathematics" }
e? (a) -2/5431 (b) 1.1 (c) -1/5 a Which is the second biggest value? (a) 2 (b) 6 (c) 0.25476 (d) 0.1 a Which is the third smallest value? (a) -718 (b) -0.1 (c) -10.5 (d) -0.16 d What is the sixth biggest value in -2, 80, -4, 1/4, -1/68, -2/197, -1/2? -2 Which is the fifth smallest value? (a) -103 (b) -2 (...
{ "pile_set_name": "DM Mathematics" }
of 32885073? 0 What is the hundred thousands digit of 144202915? 2 What is the ten millions digit of 636407185? 3 What is the hundred thousands digit of 831790033? 7 What is the hundred thousands digit of 624728666? 7 What is the ten thousands digit of 221604469? 0 What is the hundreds digit of 141351823? 8 What is the...
{ "pile_set_name": "DM Mathematics" }
be s(-3). Calculate the greatest common factor of r and 48. 8 Suppose 2*q - 211 + 49 = 0. What is the highest common divisor of q and 9? 9 Let k = -54 - -135. What is the greatest common divisor of 9 and k? 9 Let p be (-5 - -1)/2 + 24. Let r be (-10)/(-4*1/22). Calculate the highest common factor of p and r. 11 Let h ...
{ "pile_set_name": "DM Mathematics" }
2*x**2 Let i(x) be the third derivative of 0*x + 0*x**5 + 13/120*x**6 - 2 + 0*x**3 - 14*x**2 - 11/24*x**4. Find the second derivative of i(r) wrt r. 78*r Let x(p) = -p + 20. Let h be x(7). What is the second derivative of 9*c**4 + 5*c + h*c - 20*c**4 + 7*c**4 wrt c? -48*c**2 Let z(l) = 667*l**2 - 5*l + 333. Let f(i) = ...
{ "pile_set_name": "DM Mathematics" }
Let u(s) be the first derivative of n(s). Differentiate u(r) wrt r. -2 Let u(y) be the second derivative of 0*y**3 + 2*y + 0*y**4 + 3/2*y**2 + 0*y**5 - 1/30*y**6 + 0. Differentiate u(i) wrt i. -4*i**3 Find the first derivative of 3 + 2 - 6*g**2 + 0 wrt g. -12*g What is the third derivative of 6*f**2 - f**2 + 2*f**2 + ...
{ "pile_set_name": "DM Mathematics" }
*2 Let g(u) = -65*u - 158. Let x(p) = -852*p**2 + p. What is g(x(n))? 55380*n**2 - 65*n - 158 Let p(x) = -5*x. Let d(g) = -4*g**2 - g + 5. Let u be d(4). Let v be 3 - (-2 - -2) - u. Let m(s) = v*s - 33*s - 26*s. Give m(p(w)). -35*w Let c(h) = 3013367*h. Let f(y) = 3*y. Give f(c(b)). 9040101*b Let s(c) be the second der...
{ "pile_set_name": "DM Mathematics" }
c - b*c = 10 for c. -5 Let n(o) = -o - 7. Let h be n(-8). Suppose 2*s - 3 = -h. Solve -4*p - s - 19 = 0 for p. -5 Let f = -4 - -14. Let o = -5 + f. Solve -4*u - o = -5*u for u. 5 Suppose 0 = z - 3*o - 12, -4*z + 2*o + 2*o + 8 = 0. Let t = 3 + z. Let y(j) = -j**3 + j**2 - j + 3. Let a be y(t). Solve a*g + 1 = -11 for g....
{ "pile_set_name": "DM Mathematics" }
*u - 4. Let p be b(4). Let k(r) = r**3 - 4*r**2 + r + 1. Let n be k(p). Solve 0 = -5*q + n*y + 20, -q - q + 4*y = -8 for q. 4 Let o be (-3 - 5)/(-12 + 2)*5. Solve -2*w = -o*u - 26, 0 = 4*w + 3*u - 1 + 4 for w. 3 Let x(f) = -f - 8. Let b be x(-13). Suppose 0*t + t = -y - 1, 1 = -b*y - 4*t. Solve m = 2*n - 1 - 9, 6 = 3*m...
{ "pile_set_name": "DM Mathematics" }
*z. Give l(2). 17 Let j(f) be the second derivative of f**5/20 + f**4/4 - 2*f**3/3 - 16*f. Suppose 0 = 6*a - 2*a + 12. Give j(a). 12 Let t(f) be the third derivative of f**6/120 - 3*f**5/20 + 5*f**4/12 - 5*f**3/3 - 22*f**2. Determine t(8). 6 Let j = 32 + -24. Let p(y) = y**2 - 6*y - 11. What is p(j)? 5 Let f(u) = -u**2...
{ "pile_set_name": "DM Mathematics" }
228) - (sqrt(228) + sqrt(228)*1*5 + sqrt(228)) - sqrt(228))/(sqrt(432) + sqrt(432)*2). -7*sqrt(19)/18 Simplify (sqrt(228) - (sqrt(228) + -2*(sqrt(228) + (sqrt(228)*2 - sqrt(228)))))/sqrt(12). 4*sqrt(19) Simplify (sqrt(612) + 0 + 2 - sqrt(612))**2 + sqrt(612) + sqrt(612) + 5. 9 + 12*sqrt(17) Simplify 6*(sqrt(108) + (sqr...
{ "pile_set_name": "DM Mathematics" }
0.05? (a) 2/9 (b) 1/31 (c) 1 b Which is the nearest to 0? (a) -0.5 (b) 13 (c) -2/11 (d) 0.4 c What is the nearest to 0.1 in -2, -0.1, -215/6? -0.1 Which is the nearest to 0? (a) 1/3 (b) 0.4 (c) -19 (d) 2 a What is the closest to 5/3 in -12, 2, -4? 2 What is the nearest to -14 in 4, 1, -1, -5? -5 Which is the...
{ "pile_set_name": "DM Mathematics" }
number? False Let j be ((-563916)/(-8))/(3/2). Suppose -11760 + j = 11*o. Is o prime? True Let q(f) = 113*f**3 - f**2 - 17*f - 32. Is q(7) a composite number? True Let k be 66/(-14) - 16/56. Is (k - -6)/((-2)/(-254)) composite? False Suppose -u - h = -1, 3*u + 3*h + 1 = u. Let c(d) = 5*d**3 - 3*d**2 - 7*d + 7. Is c(u) ...
{ "pile_set_name": "DM Mathematics" }
sequence puo. 1/168 What is prob of sequence fxf when three letters picked without replacement from fffx? 1/4 Calculate prob of sequence aaa when three letters picked without replacement from aavavavvvavvvavvvvv. 20/969 Calculate prob of sequence yu when two letters picked without replacement from {y: 2, u: 2, z: 2}. 2...
{ "pile_set_name": "DM Mathematics" }
.273056 Work out -44.971459 * -0.03. 1.34914377 What is the product of -216 and 691.4? -149342.4 Work out -3555.5 * -817. 2904843.5 Product of -0.2 and 7113104. -1422620.8 -123.88 * 0.48 -59.4624 0.06 times -4.51143 -0.2706858 10162896*-0.2 -2032579.2 What is the product of -2 and -1447593? 2895186 Work out 20937.799 *...
{ "pile_set_name": "DM Mathematics" }
earrange -49*q + 72*q + 3 - 3 to n*q + i and give n. 23 Express -27 + 27 + 12*d as u + h*d and give h. 12 Rearrange (2*x**3 + x - x)*(-13*x - 4*x + 3*x) to the form j + k*x**3 + g*x**4 + c*x + w*x**2 and give g. -28 Express (-4*m - 7*m + 23*m)*(0 + 9 + 1) in the form c*m + r and give c. 120 Rearrange (2 - 3 + 2)*(3 - 4...
{ "pile_set_name": "DM Mathematics" }
lculate the remainder when 88*(36/(-24) + 14/y) is divided by 5. 2 Suppose 28*i = 41*i. Suppose 283 = 3*b - o + 5*o, i = -b + 3*o + 77. What is the remainder when b is divided by 47? 42 Let q(v) = -v**2 - 17*v + 77. Calculate the remainder when 1711 is divided by q(-15). 106 Let h = 145 + -138. What is the remainder wh...
{ "pile_set_name": "DM Mathematics" }
4 = 0. List the prime factors of j. 2, 31 Suppose 2*f + 6074 = 4*f. Suppose f = 4*p + w, 42*p - 40*p + 4*w - 1536 = 0. List the prime factors of p. 2, 379 Let i(j) = 13*j**2 - 276*j - 775. What are the prime factors of i(-58)? 3, 5, 3931 Let f(u) = -5*u**2 - 2*u + 68. Let l(n) = 9*n**2 + 4*n - 137. Let p(g) = 7*f(g) + ...
{ "pile_set_name": "DM Mathematics" }
c = 28, 2 + 2 = 4*c. Let r(z) = 10 - 3 - z + 2*z. Determine r(p). 1 Let q(w) = w**2 + w - 1. Let b(n) = 4*n + 7. Let s(x) = b(x) + q(x). Give s(-5). 6 Let n(a) = -6*a + 20. Let d be n(3). Let g(k) = k**2 - 4*k + 3. What is g(d)? -1 Let h(p) = p**3 - 10*p**2 + 11*p + 4. Let c be h(8). Let v be ((-2)/(-4))/((-6)/c). Let ...
{ "pile_set_name": "DM Mathematics" }
p in v, 1/6, -3? v Suppose 95*z + 9 - 9 = 115*z. What is the nearest to z in -3, -5, -1, 0.2? 0.2 Let m = -0.26 - -0.137. Let p = m + -67.877. Let b = p + 68. What is the nearest to 1 in -0.2, 3, b? b Let j = 0.4547 + -0.9547. Which is the nearest to 2? (a) 19 (b) 1 (c) j (d) 5/4 d Let z be (-13728)/363 + 2*3/(-33...
{ "pile_set_name": "DM Mathematics" }
5977? 2.7344775 1*-5382.227 -5382.227 Multiply -0.1661568 and -0.06. 0.009969408 What is 890 times 0.168887? 150.30943 2417153 times 8 19337224 -19447 times -0.4 7778.8 8711058 times 9 78399522 Multiply -6570 and 254. -1668780 0.3 * -42027408 -12608222.4 Work out -3804 * 0.671. -2552.484 What is the product of 4 and 24...
{ "pile_set_name": "DM Mathematics" }
17, -23, -3797 Put 1, -473, -1/7, -62, 4/5 in descending order. 1, 4/5, -1/7, -62, -473 Sort 5, 2, -32, -6, 4, 3, -51 in ascending order. -51, -32, -6, 2, 3, 4, 5 Sort 0, -7, -3053.2, 2/5, 43 in increasing order. -3053.2, -7, 0, 2/5, 43 Sort -5374911, -17, -4, -2 in increasing order. -5374911, -17, -4, -2 Sort -69, -18...
{ "pile_set_name": "DM Mathematics" }
094 What is 0.5 less than -9577435? -9577435.5 Calculate -4 - 134.78906. -138.78906 What is 61.949 plus 0.1823? 62.1313 Subtract -35201 from -5.81. 35195.19 Work out -825 - 15427. -16252 Add together -3.4024 and 1466427. 1466423.5976 Subtract 215.7924 from 4. -211.7924 0.100469 + -8.2 -8.099531 Put together 29.699277 a...
{ "pile_set_name": "DM Mathematics" }
arest 100? 27900 Round -0.0000025836 to 6 dps. -0.000003 Round 0.0032411 to four dps. 0.0032 What is 0.00004888 rounded to six dps? 0.000049 What is 8.9557 rounded to 1 decimal place? 9 Round 0.0001287 to 4 decimal places. 0.0001 What is -589.33 rounded to the nearest one hundred? -600 What is -1.24469 rounded to 1 dp?...
{ "pile_set_name": "DM Mathematics" }
). Let l = i - 31. Let y = -3 - -3.2. Is y equal to l? False Let k be (4/2)/(4/2). Let y = 0 + k. Let t = y + -1. Do 0 and t have different values? False Let x = 8 + -3. Suppose -x*m - 8 = -m. Let u be (m/5)/(33/(-15)). Is u bigger than 1? False Let c be 1 - (-1)/(-5)*7. Let i(g) = -g**3 + 8*g**2 + 19*g + 13. Let o be ...
{ "pile_set_name": "DM Mathematics" }
3 - 23*f. 4090*f**3 - 12*f + 20 Collect the terms in 3*d**2 - 8624*d**3 - 21435*d**3 - 3*d**2 - 33416*d**3. -63475*d**3 Collect the terms in 3226 - 58939 - 20041 - 3*s. -3*s - 75754 Collect the terms in 1654*x**3 - 9191506 + 9191506 + 1089*x**3. 2743*x**3 Collect the terms in 42 + 1661835248*u - 42 - 1661835243*u. 5*u ...
{ "pile_set_name": "DM Mathematics" }
Find the second derivative of q(s) wrt s. -24*s**2 Let d(j) be the third derivative of -j**7/35 - j**3/2 - 6*j**2. What is the derivative of d(s) wrt s? -24*s**3 Let r(p) be the second derivative of -1/12*p**4 + 0*p**3 + 0*p**5 + 0*p**6 + 6*p + 0 - 1/14*p**8 + 0*p**2 + 0*p**7. Find the third derivative of r(k) wrt k. ...
{ "pile_set_name": "DM Mathematics" }
11/2*l**2 + 9*l + 0 - 1/12*l**4. Let j be m(-13). Solve 0*h = j*h for h. 0 Suppose 5*m = 2*x - 505, -14*m - x - 391 = -10*m. Let y = -94 - m. Solve 7 = -y*c + 2 for c. -1 Let n be (13 + -3)*1/2. Suppose -2*r + 572 = -4*x, -3*x = -2*x - 2. Let s = r + -275. Solve -2*o + n*o - s = 0 for o. 5 Let w be 3445/143 + -1*1/11....
{ "pile_set_name": "DM Mathematics" }
is next in 100, 104, 116, 142, 188, 260? 364 What is next in 41, 84, 127? 170 What comes next: -40, -68, -106, -154, -212, -280? -358 What comes next: -42, -92, -142? -192 What is next in 7378, 7374, 7368, 7360, 7350, 7338? 7324 What is the next term in -38, 21, 118, 253, 426, 637? 886 What is next in 42, 72, 104, 138,...
{ "pile_set_name": "DM Mathematics" }
- -2 - 2 - (0 - 12))? 46 What is the value of 50 - (81 + -22) - (32 - 6)? -35 12 + -1 - (2 - (0 - -19 - (-62 + 9))) 81 Calculate (-86 - (-55 - 68)) + -115. -78 What is the value of -3 - (-2 - -2 - (11 - 24))? -16 Evaluate 46 + (-21 - (66 - 34)). -7 Evaluate (42 - 14) + -11 + -32 + 0. -15 Evaluate -70 + (-65 - -122) - ...
{ "pile_set_name": "DM Mathematics" }
lculate -7 + (7 - 16) - -30. 14 Calculate -48 + 28 - (-4 - (-2 + 7 + -13)). -24 Evaluate (-3 - 9) + (-21 - (-15 + -3)). -15 Calculate -7 - 5 - -17 - (-5 - -12). -2 Evaluate 0 - 10 - (-14 + 5 + 14). -15 Evaluate (-7 - (-1 - 1)) + (-83 - -83). -5 What is (-4 - -7) + -9 + (14 - (-3 - -5))? 6 What is the value of (3 - 5) +...
{ "pile_set_name": "DM Mathematics" }
et v(c) = c**2 - 1. Let r be v(-2). Let d(g) = 2*g**2 - 2*g + 4. What is the units digit of d(r)? 6 Let c(z) = -z**3 - 9*z**2 - 2*z - 7. What is the tens digit of c(-9)? 1 What is the tens digit of (3/2)/(5/60)? 1 Let b be 3 + (-2)/(-4)*-6. Let t be (b - 0)/(4 - 2). Suppose t*u - 4*u + 9 = -5*p, 4*u + 2*p - 2 = 0. What...
{ "pile_set_name": "DM Mathematics" }
+ t wrt t? 14 Suppose 0 = -6*v - 5 + 17. Suppose -y = -v*i - 20, 2*i + i = 5*y - 79. What is the third derivative of 14*h**2 - 43*h - y*h**3 - 51*h + 94*h wrt h? -84 Let z(f) = 12*f**4 - 2*f**2 + 3*f + 97. Suppose 4*d = 6*d - 4. Let r(o) = -o**2 + o - 2. Let k(n) = d*r(n) - z(n). Differentiate k(a) wrt a. -48*a**3 - 1 ...
{ "pile_set_name": "DM Mathematics" }
3, 29 Suppose x + s = 15094, -405*x - 75469 = -410*x - 4*s. List the prime factors of x. 3, 13, 43 Let q = -53325 - -102837. List the prime factors of q. 2, 3, 2063 Let z(l) = -2*l - 5. Let h be z(-5). Suppose h*d = -2*u + 425, 27 - 12 = 5*d. List the prime factors of u. 5, 41 List the prime factors of (2*5)/(256/7411...
{ "pile_set_name": "DM Mathematics" }
(l/(l*l/(l*l*l/l**5*l))*l)/l)/l)))/l)/l*l) assuming l is positive. l**(-23/2) Simplify n/(n**(-6/7)*n*n)*(n**(5/2)/n*n)/n*n**(2/3)*n**6/n assuming n is positive. n**(295/42) Simplify (w**(-1/7)/(w*w**3))**(1/36) assuming w is positive. w**(-29/252) Simplify (x**(-1/2)*x**(-3))**(2/3) assuming x is positive. x**(-7/3) S...
{ "pile_set_name": "DM Mathematics" }
+ 9 for f. -1 Let w(g) = -g - 2. Let b be w(-4). Solve -b = 2*j - 3*j + 5*k, 0 = k for j. 2 Suppose 2*l = -l + 6. Let t(w) = 2*w - 10. Let z be t(7). Suppose 3*c - l = z. Solve -2*r + h = c*h - 2, 3*h = -6 for r. 2 Let y(r) = -r**2 - 13*r - 2. Let a be y(-11). Solve h = 2*x + 3*x + a, -5*h = 2*x + 35 for x. -5 Suppose...
{ "pile_set_name": "DM Mathematics" }
19. Let f be i(23). Suppose 129 = -3*p - 303. Let x = p + f. Is x a multiple of 51? False Let t = 3255 - -12062. Is 5 a factor of t? False Suppose 34*v = 39*v - 30. Is v + -4 + (12 - -52) a multiple of 3? True Let d(r) be the second derivative of r**5/20 - 4*r**4/3 - 3*r**3 + 17*r**2/2 + 2*r. Let l be d(17). Suppose l ...
{ "pile_set_name": "DM Mathematics" }
6*g - 6 for g. 2 Suppose -4*g + 14 + 10 = 0. Suppose -u - 1 = 1, 5*u = -3*n - 10. Solve g*l - 3*l + 12 = n for l. -4 Let z(i) = i + 1. Let u be z(1). Suppose 0 = -y - u*y. Suppose 2*b - 5*j = -17, y*b + 5*b + 5*j = 45. Solve 4*o = 2*o + b for o. 2 Let a be (18/(-11))/3 + 10904/1034. Solve -9*n = -a*n - 5 for n. -5 Sup...
{ "pile_set_name": "DM Mathematics" }
Suppose 2*a + 44 = 4*m, -a = 2*a. Calculate the remainder when u is divided by 4/((m/33)/(14/12)). 12 What is the remainder when (125 + -2)*1 - (-11 + 16) is divided by 11? 8 Suppose 0 = r - 3*h - 50, -2*h = -5*r + h + 202. What is the remainder when r is divided by 22? 16 Suppose -6*t = 5*x - 8*t - 1786, 3*t + 1426 =...
{ "pile_set_name": "DM Mathematics" }
d without replacement from {e: 7, p: 6}? 35/286 Two letters picked without replacement from cccccccccc. What is prob of picking 2 c? 1 Calculate prob of picking 1 w and 3 k when four letters picked without replacement from {k: 8, w: 5}. 56/143 What is prob of picking 2 u when two letters picked without replacement from...
{ "pile_set_name": "DM Mathematics" }
(1/9)*x*x)/x))/((x*x*x*x/x**(-19))/x))/(((x/(x/(x/(x**(-7)*x))))/x*x)/x)**(3/4) assuming x is positive. x**(-479/18) Simplify (i/i**(-1))**(1/16)/(i**3/i*i**(3/11)) assuming i is positive. i**(-189/88) Simplify ((w/w**6)/(w*w*(w**(2/3)*w)/w*w*w)*((w**1*w)/w)**46)**(-1/3) assuming w is positive. w**(-109/9) Simplify ((s...
{ "pile_set_name": "DM Mathematics" }
004 Round 302810 to the nearest one thousand. 303000 What is -1188000 rounded to the nearest 10000? -1190000 What is -62500000 rounded to the nearest one million? -63000000 What is 0.093138 rounded to four decimal places? 0.0931 What is -378000 rounded to the nearest ten thousand? -380000 Round -3003 to the nearest one...
{ "pile_set_name": "DM Mathematics" }
nt from {k: 1, x: 1, i: 2, d: 2, h: 1}? 1/210 Calculate prob of sequence eczm when four letters picked without replacement from {e: 1, c: 1, x: 1, m: 1, z: 2, d: 1}. 1/420 Calculate prob of sequence xxx when three letters picked without replacement from xxxxxxjx. 5/8 What is prob of sequence ss when two letters picked ...
{ "pile_set_name": "DM Mathematics" }
z**4 + 2*z**4). -100*z**5 + 6*z**4 Expand -2*n**2 - 2*n**4 - n**4 + n**4 + (4*n**3 - 5*n**3 + 3*n**3)*(2*n + n - 5*n) - 4*n**4 + 33*n**4 - n**4 + 10*n**4 - 10*n**2 + 10*n**2. 32*n**4 - 2*n**2 Expand (3609*x + 2734*x + 1700*x)*(-5 + 2 + 4). 8043*x Expand (-7*g - 8*g - 19*g + (g + 3*g - 2*g)*(-4 + 0 + 6))*(g + 16*g - g)....
{ "pile_set_name": "DM Mathematics" }
mplify (3 + (sqrt(80) - sqrt(20))/sqrt(10))*-1*2 + -2. -8 - 2*sqrt(2) Simplify (-5*(1 + sqrt(832)) + sqrt(832) + (sqrt(832) - -1*sqrt(832)) + 4)**2. 32*sqrt(13) + 3329 Simplify (3*(1*sqrt(187) + sqrt(187)))/(-5*1*sqrt(11)) + -2. -6*sqrt(17)/5 - 2 Simplify (sqrt(2450)*-3*-2)/(sqrt(40)/(sqrt(4)*-1 - sqrt(4)) + (1*sqrt(90...
{ "pile_set_name": "DM Mathematics" }
40*z + 605740. What is j(-17)? 149 Let t(a) = 2170*a + 193125. What is t(-89)? -5 Let x(y) = -1441218*y + 2882429. Calculate x(2). -7 Let o(m) = -2*m**2 + 303*m + 1531. Determine o(156). 127 Let p(i) = -2*i**2 + 206*i - 2570. Determine p(85). 490 Let i(g) = g**3 - 6*g**2 - 401*g - 49. What is i(21)? -1855 Let m(t) = -t...
{ "pile_set_name": "DM Mathematics" }
is the nearest to v in p, 2, u? p Let y = 0 - 16. Let p = -26 - y. Let l = 11 + p. Which is the nearest to 0.1? (a) -1/4 (b) 0.2 (c) l b Suppose 0 = -4*s - 5*l - 25, 5*l + 2 = 3*l. Let o = 31/7 + s. What is the nearest to 0.1 in -1, o, 0.2? 0.2 Let t = -3 - -3.1. Let k = -200 - -199. What is the closest to 1 in -2/3...
{ "pile_set_name": "DM Mathematics" }
, v Suppose -4*t - 27 = 1. Let h = -7 - t. Let p = -5 + h. Put p, 2, 3 in increasing order. p, 2, 3 Let r = -0.042 - 18.958. Let p = 19 + r. Let v = 127/3 + -43. Sort v, p, 3 in descending order. 3, p, v Let d = -10 + 5. Let z be (0 + -5 + 4)/(3 - 2). Put 3, z, d in increasing order. d, z, 3 Let b(w) = w**3 + 15*w**2 -...
{ "pile_set_name": "DM Mathematics" }
(base 11) in base 16? 6 What is -4 (base 9) in base 14? -4 Convert 30 (base 5) to base 11. 14 Convert 72 (base 13) to base 8. 135 Convert 19 (base 11) to base 12. 18 Convert -3 (base 15) to base 11. -3 Convert 6 (base 12) to base 2. 110 108 (base 11) to base 14 93 Convert 2 (base 13) to base 14. 2 -131 (base 4) to base...
{ "pile_set_name": "DM Mathematics" }
9*b**2 - 86*b**2)*(5*b**2 + 9*b - 9*b) to i*b**4 + m + y*b**3 + c*b**2 + h*b and give i. -632 Rearrange (-84*r**2 + 187*r**2 - 86*r**2)*(21 - 5*r**2 - 2*r + 6 - 24) to f*r + s*r**2 + z + k*r**4 + m*r**3 and give z. 0 Express -332*o**3 - 6*o**4 - 16 + 663*o**3 + 123 - 336*o**3 as w*o**4 + f*o**2 + y*o + p + z*o**3 and g...
{ "pile_set_name": "DM Mathematics" }
4) + (sqrt(704) - (sqrt(704) + 1)) + 3)**2)*6. 1728*sqrt(11) + 38202 Simplify (6*(-1 + sqrt(637)*1 + sqrt(637))*6 + 2 + (sqrt(637) - (0 + sqrt(637) + -2) - sqrt(637)) + -5)**2. -36778*sqrt(13) + 3212486 Simplify ((-3*sqrt(171) + 2 + (-4*(1 + sqrt(171)) + sqrt(171) - sqrt(171)) - 4*-6*sqrt(171)*-2*5) + 0)**2. 2964*sqrt(...
{ "pile_set_name": "DM Mathematics" }
0.06836395211 rounded to four decimal places? 0.0684 What is 193.219285 rounded to the nearest ten? 190 What is -1.82068442 rounded to 2 decimal places? -1.82 Round 0.00000958588544 to 7 decimal places. 0.0000096 What is -11970470700 rounded to the nearest one million? -11970000000 Round 0.0000293655135 to 5 dps. 0.00...
{ "pile_set_name": "DM Mathematics" }
: 7, x: 2, c: 4}. Give prob of picking 4 r. 7/143 Two letters picked without replacement from ccccfccfc. Give prob of picking 2 f. 1/36 Three letters picked without replacement from {i: 1, t: 3, w: 1}. Give prob of picking 2 t and 1 i. 3/10 Four letters picked without replacement from {n: 4, s: 3, u: 6, k: 3, w: 1, y: ...
{ "pile_set_name": "DM Mathematics" }
f. 1 Solve 4*w = 5*h - 3, -14245*h + 14249*h - 9 = w for h. 3 Solve -4*v = -3*u + 8, -6419*v + 6416*v + 9*u = 6 for v. -2 Solve -314*x = -318*x + 26*k + 38, -2*x + 10 = -4*k for x. 3 Solve 8 = 4*r + 3*i, -r - 5*i - 3 - 12 = 0 for r. 5 Solve 5*n - h + 135 = 131, -h = 9*n + 10 for n. -1 Solve 15 = 5*l, -3*j + j + l - 13 ...
{ "pile_set_name": "DM Mathematics" }
(-2)/q - 32/(-10). What is the units digit of (-2)/f - 70/(-15)? 4 Let f = 826 - 51. What is the hundreds digit of f? 7 Suppose -73721 = -79*a + 68637. What is the units digit of a? 2 Let w(h) = 34*h**2 - 8*h - 8. Suppose 0 = g - 2, -8*g - 4 = -4*j - 12*g. What is the tens digit of w(j)? 3 Suppose 3*t - 1559 = -2*a + 8...
{ "pile_set_name": "DM Mathematics" }
ivisor of 204 and 561. 51 What is the highest common factor of 4365 and 90? 45 Calculate the highest common factor of 820 and 80. 20 Calculate the greatest common factor of 833 and 476. 119 Calculate the greatest common divisor of 6745 and 285. 95 Calculate the greatest common factor of 5053 and 326. 163 What is the gr...
{ "pile_set_name": "DM Mathematics" }
t(11)/2 Simplify (sqrt(363) - (sqrt(363) + 4*4*sqrt(363)))**2 - (-3*(sqrt(363) + sqrt(363) + 3 - sqrt(363)) - sqrt(363))**2. -792*sqrt(3) + 87039 Simplify (sqrt(2736) + 1*sqrt(2736)*4)**2 - -6*(sqrt(2736) + -2)**2. -288*sqrt(19) + 84840 Simplify (-4*-1*-2*sqrt(44))/(-3*sqrt(100)*-6). -4*sqrt(11)/45 Simplify -4 + (1*(sq...
{ "pile_set_name": "DM Mathematics" }
*c**6/10 + c**4/2 + c. What is the third derivative of t(b) wrt b? -216*b Let i(c) = -15*c**3 - 7*c**2 + 5. Let b(u) = 22*u**3 + 10*u**2 - 8. Let h(w) = -5*b(w) - 8*i(w). Find the third derivative of h(x) wrt x. 60 Let r(n) be the second derivative of 0 + 0*n**6 + 0*n**3 + 1/14*n**7 + 0*n**5 + 0*n**2 - 4*n - 1/6*n**4. ...
{ "pile_set_name": "DM Mathematics" }
l + j = -100. What is the smallest value in -0.1, 0.3, l? l Let q = 147 + -142. Suppose 2*m = q*m + 4*p - 25, 4*m = 4*p - 4. Let g = -4 - -3.8. Which is the second biggest value? (a) g (b) 0.4 (c) m b Let s = 0.2 + -0.18. Suppose 2*l = -2*u - 8, -38*l + 16 = -4*u - 34*l. Let q be (9/144*8)/((-5)/u). What is the seco...
{ "pile_set_name": "DM Mathematics" }
ple of 251 and 251. 251 What is the least common multiple of 527 and 310? 5270 What is the lowest common multiple of 8 and 12? 24 Calculate the smallest common multiple of 3 and 4320. 4320 What is the common denominator of 23/100 and -39/20? 100 Find the common denominator of -33/8 and 77/152. 152 Calculate the lowest ...
{ "pile_set_name": "DM Mathematics" }
188838313 composite? False Is 1263659 composite? False Is 7995839 composite? False Is 732317 a prime number? False Is 2132749 a prime number? True Is 82856969 prime? False Is 1611809 prime? True Is 28471307 a prime number? True Is 10147337 composite? False Is 5446871 prime? True Is 106153769 a prime number? True Is 894...
{ "pile_set_name": "DM Mathematics" }
econd biggest value in 3/4, 16, -0.4, -0.15091, -3, -16? 3/4 What is the second smallest value in -10, 0.5, -3, -73407, -2? -10 Which is the third smallest value? (a) 14 (b) 0.06 (c) -5 (d) 5/4 (e) -4 b What is the fourth biggest value in 8, -27, 0, 4485/11? -27 Which is the third smallest value? (a) -16 (b) -0....
{ "pile_set_name": "DM Mathematics" }
. What is o(b(t))? 4*t Let v(o) be the third derivative of -o**8/10080 + o**5/30 - 2*o**2. Let g(r) be the third derivative of v(r). Let n(z) = -z. Determine g(n(j)). -2*j**2 Let n(v) = -8*v**2 - 3. Let c(a) = -4*a. What is n(c(x))? -128*x**2 - 3 Suppose -3 + 12 = -t. Let r(o) = 6*o**2. Let j(c) = 3*c**2. Let h(s) = t*...
{ "pile_set_name": "DM Mathematics" }
for f. -3 Suppose t - 11 = 2*p - 48, -2*p - 4*t + 42 = 0. Solve -15*d + p*d = -2*r - 20, -5 = -5*d + 5*r for d. -3 Let b(t) = 2*t**2 + 35*t + 22. Let u be b(-18). Suppose 11*v + l = 9*v + 14, -4*v + u = 5*l. Solve 0 = 5*f - v*n - 5, -2*f + n = 1 - 2 for f. 0 Suppose 0*s - k - 2 = 2*s, 4*k - 8 = 0. Let r be -5*(s/5 - 0...
{ "pile_set_name": "DM Mathematics" }
105 Two letters picked without replacement from {b: 4, q: 2}. Give prob of picking 2 q. 1/15 Calculate prob of picking 1 y, 1 w, and 1 l when three letters picked without replacement from wywl. 1/2 Four letters picked without replacement from {s: 4, l: 4, t: 1, h: 2, m: 3}. What is prob of picking 2 h, 1 l, and 1 s? 16...
{ "pile_set_name": "DM Mathematics" }
st to -2 in -0.3, t, -3, 0.4? -3 Let l = 26.32 - 25.62. Which is the nearest to 7.7? (a) -0.5 (b) l (c) -3/5 b Let u(h) = h**3 + 3*h**2 - 549*h + 3. Let d be u(-25). Which is the nearest to d? (a) 4 (b) -4 (c) 7 b Let p = 14231/4 - 3557. What is the nearest to 0 in -0.3, 0.05, p, -0.5? 0.05 Let i be (-44 - 143055...
{ "pile_set_name": "DM Mathematics" }
rivative of 0*g**2 - 1/6*g**3 + 6*g + 1/12*g**4 + 0. What is the remainder when 8 is divided by v(2)? 0 Suppose 122*d - 1892 = 111*d. Calculate the remainder when d is divided by 52. 16 Suppose -22*n + 15 = -19*n. Let c = 31 + n. Calculate the remainder when 178 is divided by c. 34 Suppose 6*w - 208 = -10*w. Let t = -1...
{ "pile_set_name": "DM Mathematics" }
. Let z = 999.02 - 999. Put 0.2, a, z in decreasing order. 0.2, z, a Let o be (-6)/1*-1*-1. Let k be 10/3 - (-2)/o. Let u(p) = -3*p - 4. Let d be u(0). Sort d, k, 1 in ascending order. d, 1, k Suppose 2*o = -3*a - 3*o + 12, 3*a + 4*o - 9 = 0. Sort 1, -2, 5, a in descending order. 5, 1, a, -2 Suppose -n + 2 + 0 = 5*y, 1...
{ "pile_set_name": "DM Mathematics" }
0.2? (a) 2/3 (b) 10/7 (c) 0.4 (d) -0.43 d Which is the closest to -1/5? (a) 0.024 (b) 2/37 (c) -0.01 (d) -7 (e) 2 (f) 13 c Which is the closest to 1/8? (a) -0.5 (b) 0 (c) -2 (d) 151 b Which is the nearest to 561? (a) 20 (b) 8 (c) 0.5 (d) 3 (e) 0.3 (f) 0.4 a Which is the closest to -0.07? (a) -0.16 ...
{ "pile_set_name": "DM Mathematics" }
t i(j) = -j - 909. Let a(c) = c + 1361. Let p(k) = -2*a(k) - 3*i(k). Calculate p(h). -2 Let v = -193 + 196. Let k be -1*(13 - (v - (-1 + 4))). Let w(s) = s**3 + 12*s**2 - 14*s - 10. Give w(k). 3 Suppose 34*z + 230 + 76 = 0. Let l(c) = 5*c + 37. Calculate l(z). -8 Let u = 37 - 31. Let l(d) = 2 - u + 2*d + 3 - 3*d. Let s...
{ "pile_set_name": "DM Mathematics" }
t is -1 - (-5)/7 - 16/(-7)? 2 Evaluate (-1 + 0)/((-3)/(4 - -5)). 3 90/24*4/(-3) -5 Evaluate ((-7)/21)/((-1)/18). 6 Evaluate (-7 + (-156)/(-21))/(-3). -1/7 Calculate (-32)/(-20) + 473/(-55). -7 What is the value of 1*-1*(-5 - 11/(-2))? -1/2 What is the value of 1/((-5)/(-6))*9/(-18)? -3/5 -24 + 22 - (1 + (-25)/9) -2/9 C...
{ "pile_set_name": "DM Mathematics" }
? 0.1 Which is the closest to -13/2? (a) 3/5 (b) -4 (c) -0.3 (d) -0.4 (e) -3/64 b Which is the nearest to 1172? (a) 3 (b) 0.3 (c) 0.19 (d) -4 a Which is the closest to -0.01? (a) -5 (b) -0.4 (c) 0.682 (d) -2 b What is the closest to 2/5 in 6.3, -3/2, -4/7, -3? -4/7 Which is the closest to 2? (a) -2/17 (b...
{ "pile_set_name": "DM Mathematics" }
1 + 2*g). -6*g**2 + 335*g Expand -1 + 1 - 2*v**5 + (0*v**2 + 4*v**2 - 3*v**2)*(621*v + 97812 - 97812)*(-2*v + 2*v - 2*v**2)*(1 - 4 + 5). -2486*v**5 Expand (3*k**2 + 2*k**2 + k**2 + (-1 + k**2 + 1)*(0 + 1 + 1))*(1302 - 1302 + 61*k**3). 488*k**5 Expand -2*q**5 + 4 - 4 + (2*q**4 - 2*q**4 + 2*q**4)*(0*q + 2*q + 0*q) - 112...
{ "pile_set_name": "DM Mathematics" }
xphifxfxxhh? 4/91 What is prob of sequence ccsp when four letters picked without replacement from cpcsppppccc? 5/396 What is prob of sequence dvz when three letters picked without replacement from {v: 5, z: 5, o: 2, k: 1, f: 4, d: 3}? 5/456 Three letters picked without replacement from kukkkkkkfkkkkkkk. What is prob of...
{ "pile_set_name": "DM Mathematics" }