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ther -21446240.2 and 0.093. -21446240.107 Calculate 1.2207 + 409703. 409704.2207 Total of -594 and 27924330. 27923736 Calculate -1462.955492 - -5. -1457.955492 -95.6151+1 -94.6151 Put together -57025177 and -1528. -57026705 Work out 3408.6 - 0.2116. 3408.3884 What is 0.24 minus 63411.2607? -63411.0207 Calculate 6.8 - -...
{ "pile_set_name": "DM Mathematics" }
/5. -4*(v + 837)*(v + 2543)/5 Suppose 4*j**4/3 + 131866*j**3/3 - 461716*j**2/3 - 4483984*j/3 - 703360 = 0. What is j? -32970, -4, -1/2, 8 Factor 2*r**2/3 - 401214*r - 1203644/3. 2*(r - 601822)*(r + 1)/3 Solve 3*p**4 - 14610*p**3 + 2124888*p**2 - 4191360*p = 0. 0, 2, 148, 4720 Factor 3*d**3 + 1474752*d**2 - 1474755*d. 3...
{ "pile_set_name": "DM Mathematics" }
nvert 62167.7 kilometers to centimeters. 6216770000 What is 502478.9 days in weeks? 71782.7 How many months are there in 4/3 of a century? 1600 How many nanometers are there in 9.617694 centimeters? 96176940 How many centimeters are there in 4158.58km? 415858000 Convert 125.3893 days to nanoseconds. 10833635520000000 H...
{ "pile_set_name": "DM Mathematics" }
is 48.5453 rounded to one decimal place? 48.5 What is 0.00002054124 rounded to seven dps? 0.0000205 Round 2178683 to the nearest 1000. 2179000 Round 0.4201819 to 2 decimal places. 0.42 What is 342.0968 rounded to the nearest integer? 342 What is -0.000021334693 rounded to six dps? -0.000021 What is 2479862 rounded to t...
{ "pile_set_name": "DM Mathematics" }
he smallest common multiple of (-47)/(-6) + 8/192*4 and u. 24 Let z(c) = 2*c - 23. Let u be z(14). Suppose -3*j - 12 = 0, -4*j + 0 = u*h + 6. What is the lowest common multiple of h and 11? 22 Let q = 26359/2114790 - -3/2245. Find the common denominator of q and 20/33. 10362 Suppose 7*i - 38 = -17. Calculate the least ...
{ "pile_set_name": "DM Mathematics" }
0, -172? 0 Which is the nearest to -1? (a) 0.1 (b) 0 (c) 5 b Which is the closest to -4/13? (a) 2/7 (b) -6 (c) 3 (d) -2 a Which is the closest to 2/3? (a) 1/2 (b) -4/3 (c) -2/9 (d) 14/17 d What is the nearest to -12 in 5/8, 4, -1/3? -1/3 What is the nearest to 2 in 5, 1/2, -5, -3? 1/2 What is the closest to ...
{ "pile_set_name": "DM Mathematics" }
+ 3. What is the units digit of j(-11)? 3 Suppose -6*p + 88*p - 3634125 = 7*p. What is the hundreds digit of p? 4 Suppose 38 = 3*f + 218. Let j = f - -64. Suppose -j*l - 116 = -456. What is the tens digit of l? 8 Let s = 190 + -196. What is the hundreds digit of ((11*s)/(-1))/(5/10)? 1 Let m(p) = p**3 + 11*p**2 + 11*p...
{ "pile_set_name": "DM Mathematics" }
t is (-13924)/(-2124) - ((-2)/5)/((-5)/75)? 5/9 Calculate (1 + 19/(-190))*(-13 + 8). -9/2 What is 72/(-42)*112/(-32)? 6 Evaluate (32/(-48)*(-24)/(-16))/(3/15). -5 What is the value of 28/10 + ((-8208)/(-285))/(-12)? 2/5 What is the value of 6 + 108*(-44)/(-264)? 24 What is the value of 1/10*((-2156)/(-33))/49? 2/15 Wha...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {i: 5, b: 7}? 1/22 Calculate prob of picking 1 q and 2 g when three letters picked without replacement from {g: 7, q: 9}. 27/80 Two letters picked without replacement from {o: 9, y: 5}. Give prob of picking 2 o. 36/91 Three letters picked without replacement from pppopoppp. What is prob...
{ "pile_set_name": "DM Mathematics" }
50. Solve 0 = g*s + s for s. 0 Let i(v) = -v + 11. Let b be i(8). Let w(m) = -2*m + 4*m - 1 - b*m. Let j be w(-3). Solve -j*d = -d + 4 for d. -4 Suppose l + 4*g + 27 = 6*l, 5*l + 3*g = 6. Suppose 4 = -i - a + 11, -a - 11 = -5*i. Suppose -2*h = 5*q + 2*h + 11, i*h = -12. Solve -5 = l*p + q for p. -2 Let g = -8 - -13. So...
{ "pile_set_name": "DM Mathematics" }
a*y**3 and give n. 0 Rearrange 3*d**4 - 1 - d**2 - 8*d - 6*d**3 + 6*d + 6*d + 7*d**3 to the form n*d**3 + y*d + s*d**4 + f + a*d**2 and give f. -1 Express 2*d**4 - 846*d**3 - d**4 + 832*d**3 - 2*d**2 as i*d**2 + a + g*d**3 + w*d**4 + c*d and give i. -2 Rearrange (2 - 3 + 3)*(0*h**4 - 6*h**4 - 2*h**4) to the form x + v...
{ "pile_set_name": "DM Mathematics" }
erm of -1086, -8223, -27290, -64155, -124686, -214751, -340218? -978*d**3 - 97*d**2 - 11 What is the j'th term of -205, -180, -41, 230, 651, 1240, 2015, 2994? 3*j**3 + 39*j**2 - 113*j - 134 What is the y'th term of 171705, 172028, 172569, 173328? 109*y**2 - 4*y + 171600 What is the o'th term of 90774, 361570, 812896, 1...
{ "pile_set_name": "DM Mathematics" }
and -1 nonequal? True Is -2/1489 less than -1/8? False Which is bigger: -0.1 or 4/1115? 4/1115 Are 13576 and 13575 equal? False Do -689 and -4825/7 have the same value? False Is -15 equal to -16? False Which is greater: 26 or -1? 26 Is 5/4582 at most as big as -1? False Is -4/617 > -1? True Are 103 and 103 unequal? Fa...
{ "pile_set_name": "DM Mathematics" }
aluate (-50)/10 - (-3)/((-3)/(-5)). 0 What is 0 + 0 - (30 - 28)? -2 Evaluate (18/30)/((-1)/(-10)*2). 3 1/(-2) + (-3)/6 -1 7/7*(-2)/(12/(-3)) 1/2 Calculate 4/((-64)/8)*14. -7 (0 - 4/10)/(50/250) -2 What is 2/5*(-1)/5? -2/25 Calculate (3 + 2)*(0 + 12/80). 3/4 What is the value of (-6)/(-10)*(-30)/(-12)? 3/2 What is the v...
{ "pile_set_name": "DM Mathematics" }
bigger: p or -96? p Let q be (-1)/(160/(-14))*(3768/168 + -22). Let d be (-2 + 2)/(1/1). Which is bigger: q or d? q Suppose f + 4*s + 43 = -43, 5*s + 10 = 0. Let r be (f/(-9) - -4)/(8/9). Let o = r + -29/2. Which is greater: 2/59 or o? 2/59 Let v = 340 - 346. Let b be (-15 - -2)*(-1 - 3/v). Is b less than -7? False Sup...
{ "pile_set_name": "DM Mathematics" }
s bigger: 1 or -7/16? 1 Is 2488 at least 1? True Which is smaller: -2.73 or 0? -2.73 Which is bigger: 22 or -4? 22 Which is smaller: -146 or -1611/11? -1611/11 Which is smaller: 0 or -3/92? -3/92 Is 13/280 at least as big as -1? True Is -3426 smaller than -3422? True Which is smaller: -51/172 or -1? -1 Which is greater...
{ "pile_set_name": "DM Mathematics" }
- 0? 1 Let x = 15 + -11. Let f(y) = -x - 17*y**3 - 3*y**2 - 4*y + 13*y**3 - y. What is the units digit of f(-2)? 6 Suppose 182 + 42 = v - i, 0 = -v + 5*i + 204. What is the units digit of v? 9 Let n(c) = 107*c**3 + c. What is the units digit of n(1)? 8 Suppose 2*p - 3*m - 19 = 0, 0 = -3*p - p - m + 3. Suppose -2*w - p...
{ "pile_set_name": "DM Mathematics" }
e m(l(s)). 368*s**4 Let l(m) = -15*m**2 + 2*m. Let k = -242 - -89. Let y(x) = 1139*x**2 - 153*x. Let r(h) = k*l(h) - 2*y(h). Let t(a) = -2*a. Determine t(r(d)). -34*d**2 Let r(w) = 3*w. Let m(u) = 342128*u. Give r(m(a)). 1026384*a Let w(j) = 2*j + 641. Let c(o) = 3222*o. Give c(w(t)). 6444*t + 2065302 Let z(h) = 3*h**2...
{ "pile_set_name": "DM Mathematics" }
the thousands digit of 6584? 6 What is the hundreds digit of 39242? 2 What is the hundreds digit of 45182? 1 What is the units digit of 442? 2 What is the hundreds digit of 1542? 5 What is the units digit of 2038? 8 What is the ten thousands digit of 11670? 1 What is the hundreds digit of 27752? 7 What is the tens digi...
{ "pile_set_name": "DM Mathematics" }
the prime factors of 3376509464? 2, 10247, 41189 What are the prime factors of 637548406? 2, 11, 37, 137, 5717 What are the prime factors of 265422056? 2, 593, 55949 List the prime factors of 90981969. 3, 13, 2332871 List the prime factors of 109969663. 19, 193, 29989 What are the prime factors of 2839340907? 3, 13, 71...
{ "pile_set_name": "DM Mathematics" }
s + 33976 + 165*s**3 - 160*s**3 + 2*s. 5*s**3 Collect the terms in 511*l**2 + 311*l**2 + 435*l**2. 1257*l**2 Collect the terms in 888413417 - 888413417 - 9*n**3. -9*n**3 Collect the terms in -45387*z + 21866*z + 23523*z. 2*z Collect the terms in 1091*w**3 - 2 + 2 - 464*w**3 - 554*w**3. 73*w**3 Collect the terms in -123...
{ "pile_set_name": "DM Mathematics" }
placement from {f: 7, s: 9}. 27/65 Three letters picked without replacement from mmwwfwtfwwwftffmw. What is prob of picking 1 t, 1 m, and 1 w? 21/340 Calculate prob of picking 1 t, 1 v, and 1 x when three letters picked without replacement from {r: 2, x: 2, t: 7, v: 5, g: 4}. 7/114 Calculate prob of picking 1 k and 1 i...
{ "pile_set_name": "DM Mathematics" }
**2 + y + 1. Determine 5*j(u) - v(u). -u**3 - 6*u**2 + 3 Let g(x) = -90*x - 1. Let d(z) = 179*z + 3. Determine 3*d(o) + 7*g(o). -93*o + 2 Let m(c) = -c**2 + 1. Let u(w) = 0*w + w**3 + 1113 - w + w**2 - 1109. What is -4*m(p) + u(p)? p**3 + 5*p**2 - p Let q(a) be the second derivative of 3*a**3/2 - 5*a**2/2 - 6*a - 3. Le...
{ "pile_set_name": "DM Mathematics" }
rt a? -6*a**2 What is the third derivative of -50*b**3 - 10*b**2 + 33*b**3 + 25*b**3 wrt b? 48 Let y(x) be the third derivative of -2*x**7/105 - x**5/12 - 3*x**2. What is the third derivative of y(c) wrt c? -96*c Let a(v) be the third derivative of v**6/5 - 7*v**3/3 + 25*v**2. What is the first derivative of a(j) wrt j...
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 132 What is the cube root of 160580 to the nearest integer? 54 What is the square root of 22858861 to the nearest integer? 4781 What is 1581855 to the power of 1/3, to the nearest integer? 117 What is the cube root of 35727 to the nearest integer? 33 What is the third root of 25150 to the neares...
{ "pile_set_name": "DM Mathematics" }
))*-1. Round g to the nearest 10000. 10000 Let r = 0 + 7. Let f be 8 - 1 - 21/r. Let u be f/6 + (-71106)/9. Round u to the nearest 1000. -8000 Let u = 654.9 - 687.004. Let l = u + 25.1125. Let q = 7 + l. What is q rounded to 3 dps? 0.009 Let x = -25693 - -56593. Suppose 5*y = 6*y - x. What is y rounded to the nearest 1...
{ "pile_set_name": "DM Mathematics" }
allest value? (a) l (b) 3/4 (c) 2 (d) 7 (e) -7/10 e Let p = 1281.4 - 1185.4. What is the third smallest value in -3, 0.23, p? p Let t = 52 - 53. Let g be 9 + (0/9 - 2). Which is the biggest value? (a) 2 (b) g (c) t (d) 3 b Suppose -4*q + 5*y = 4*y - 3, 4*q = -5*y - 15. Suppose q = -3*o + 3 + 6. Let v = -4435 -...
{ "pile_set_name": "DM Mathematics" }
-40140*o**2 Let s(p) = -1135*p**4 - 9*p**2 - 31*p - 33. Let w(i) = i**4 - i**2 - i - 1. Let r(f) = -s(f) + 10*w(f). What is the second derivative of r(z) wrt z? 13740*z**2 - 2 Find the third derivative of 318*i + i**2 + 4888*i + 0*i**5 + 11192*i**6 - i**5 + i**5 wrt i. 1343040*i**3 Find the second derivative of 8732*s...
{ "pile_set_name": "DM Mathematics" }
(8/24)/((3/168)/((-264)/154)) -32 Evaluate (-2)/2*(-27166)/(-799). -34 (372/(-48))/(((-6)/(-24))/(24/12)) -62 Calculate 2*459/1683*44/80. 3/10 ((-30)/24*-6)/(51/238) 35 1180/(-1122770)*44/4 -2/173 What is (2/5)/(7/98)*3530/2471? 8 What is (-60)/25*(760/(-399))/(66/77)? 16/3 What is ((-351)/9)/((-46306)/548)? 6/13 (2*3)...
{ "pile_set_name": "DM Mathematics" }
y minutes are there between 9:18 AM and 2:16 PM? 298 How many minutes are there between 9:26 PM and 5:13 AM? 467 How many minutes are there between 3:31 PM and 10:21 PM? 410 How many minutes are there between 11:49 PM and 1:49 AM? 120 How many minutes are there between 7:46 AM and 10:32 AM? 166 What is 97 minutes befor...
{ "pile_set_name": "DM Mathematics" }
me factors of 456846460? 2, 5, 7, 3263189 List the prime factors of 2522399952. 2, 3, 43, 73, 16741 List the prime factors of 45731543. 11, 13, 193, 1657 List the prime factors of 56573833. 56573833 What are the prime factors of 42930607? 42930607 What are the prime factors of 133523505? 3, 5, 641, 1543 List the prime ...
{ "pile_set_name": "DM Mathematics" }
o + 10 = -2*o - 4*h, -o - s*h - 14 = 0. Let d(z) = z + 4. Give o*d(a) + 4*v(a). -2*a Let j(y) = 7*y + 1. Suppose -3*n + 2 = -1. Suppose 0 = a - 4 - n. Let s(u) = -6*u - 1. Give a*j(m) + 6*s(m). -m - 1 Let y(d) = 6*d - 11. Let x(n) = 2 + n - 4*n + 2*n. Let m(b) = -b**2 + 4*b - 1. Let i be m(3). Suppose 0 = i*o + 6 - 2. ...
{ "pile_set_name": "DM Mathematics" }
culate k(v(g)). 7600450*g**2 + 10640630*g Let y(c) = -8*c**2. Let f(z) = 150*z + 873. Determine f(y(l)). -1200*l**2 + 873 Let y(t) be the second derivative of -t**4/12 - 67*t**2/2 - t + 2. Let c(q) be the first derivative of y(q). Let p(r) = 6*r**2 + 2*r - 2*r. Give p(c(k)). 24*k**2 Let k = 3 - 1. Let q(y) = 2*y**2 + 2...
{ "pile_set_name": "DM Mathematics" }
t comes next: -72, -354, -632, -906? -1176 What is the next term in 10153, 10152, 10151? 10150 What is the next term in -16271, -16531, -16777, -17003, -17203, -17371, -17501? -17587 What comes next: 8899, 17736, 26573, 35410, 44247? 53084 What is the next term in -38920, -38922, -38924? -38926 What is the next term in...
{ "pile_set_name": "DM Mathematics" }
5). Find the first derivative of 6*j**2 - 8 + n - 11 + 2*j**2 wrt j. 16*j Let g = 27 - 33. Let w = g + 11. Find the second derivative of -8*p + 5*p - w*p**3 + 22*p**3 - 8*p wrt p. 102*p Suppose -2*t + 135 = r + 3*t, -5*r + 633 = 4*t. What is the second derivative of -341*o**3 + 3*o**5 + 341*o**3 - r*o**5 + 16*o wrt o? ...
{ "pile_set_name": "DM Mathematics" }
ny meters are there in 741155.9 millimeters? 741.1559 Convert 0.4655982l to millilitres. 465.5982 Convert 29116.278s to hours. 8.087855 What is 69/2 of a millennium in decades? 3450 Convert 3.607932 kilograms to milligrams. 3607932 What is 3/10 of a millimeter in micrometers? 300 What is two sevenths of a week in days?...
{ "pile_set_name": "DM Mathematics" }
m(p) = p**2 + p + 18. Let a(n) = -2*n**2 + 5*n + 2. Let i be a(-4). Calculate the smallest common multiple of m(0) and (i - -6)/(-1*2). 198 Let c = -459/35 + -2531/210. Let p = 6128/5 + -1233. Calculate the common denominator of p and c. 30 Find the common denominator of ((-6)/8)/((-11)/(-297)) and 813/(-270) - (-2)/5....
{ "pile_set_name": "DM Mathematics" }
pose 0 = j - 5*j + 12, 4*j = 5*x - 258. Suppose 2*z + 2 = x. Let o = 14 + z. What is the units digit of o? 0 Suppose -2118 = 138*r - 141*r. What is the units digit of r? 6 Let h = -9 + 12. Let p = h - -1. What is the tens digit of -1 + p + (13 - -1)? 1 Suppose 3*u + 3*x + 2*x = 11408, 3*u + 3*x - 11418 = 0. What is the...
{ "pile_set_name": "DM Mathematics" }
sqrt(528) + sqrt(528))*-2)/((sqrt(972) - 2*sqrt(972)) + (sqrt(12) - (sqrt(12) - sqrt(96)/sqrt(32)))). 16*sqrt(11)/17 Simplify (3*(4*sqrt(468) - (sqrt(130)*-4)/sqrt(10)))**2. 91728 Simplify ((sqrt(343) + -3)**2 - sqrt(343)) + 4 + (-2*(sqrt(343) + 2 - sqrt(343)) - sqrt(343))**2. 7*sqrt(7) + 715 Simplify ((sqrt(931) + -1...
{ "pile_set_name": "DM Mathematics" }
d derivative of 205*j + 9 + j**4 + 10*j**2 - 9 - r*j + 4*j**4 wrt j? 60*j**2 + 20 Let q(w) = w**2 - 12*w + 24. Let z be q(10). Suppose -m + z = -0*m. What is the first derivative of 3*v**4 + 1 + v**m + 5 + 5 wrt v? 16*v**3 Let a be -3 + 4 + 4 + -1. Find the third derivative of 38*j**a - 9*j**2 - 77*j**4 + 19*j**4 wrt j...
{ "pile_set_name": "DM Mathematics" }
what is 6357 - 257768? -251411 In base 10, what is 8108787 - -2? 8108789 In base 13, what is 2 - 3cc18ba6? -3cc18ba4 In base 8, what is -6033710 + 7? -6033701 In base 10, what is -20440270 + -21? -20440291 In base 7, what is 3 - 442220135? -442220132 In base 2, what is 100001101 - -1001101000010001? 1001101100011110 In...
{ "pile_set_name": "DM Mathematics" }
-2 (b) -156.6 (c) 2 (d) 6/11 c What is the closest to 0 in 8, -4, -0.1, 5007? -0.1 What is the closest to -3 in -33, -2, 1/5, 245? -2 Which is the closest to -1? (a) 0.125 (b) -3001 (c) 1/12 c Which is the nearest to -17? (a) 788 (b) -2/11 (c) 1 (d) -52 b What is the closest to 1 in 4, -0.3486883, -3/4, 0.5?...
{ "pile_set_name": "DM Mathematics" }
Solve m*z - 2 = v for z. 1 Suppose 0 = -4*y - 5*g + 73, 5*y = 4*g - 32 + 72. Solve 3*a + y = 24 for a. 4 Let y(u) = 2248*u - 6736. Let d be y(3). Let g(x) = x**2 - 8*x - 3. Let r be g(8). Let k = r - -5. Solve -k*j + d = 10 for j. -1 Let j = 68 - 64. Suppose -j*h = -0*h - 200. Suppose 4*i - h = 2*u, -3*u = i - 8 - 1. S...
{ "pile_set_name": "DM Mathematics" }
vided by 161? 54 Calculate the remainder when 347 is divided by 37. 14 What is the remainder when 643 is divided by 212? 7 Calculate the remainder when 22 is divided by 14. 8 Calculate the remainder when 267 is divided by 83. 18 What is the remainder when 13 is divided by 4? 1 What is the remainder when 839 is divided ...
{ "pile_set_name": "DM Mathematics" }
-3705*x**3 - 42*x**2 + 363151 wrt x. -11115*x**2 - 84*x What is the second derivative of 68524*v**3 - 25*v**2 + 539*v + 214? 411144*v - 50 What is the second derivative of 22818*a**2*j**3*l + 77*a*j**3*l + 537*a*j**3 - a*j**2 wrt a? 45636*j**3*l Find the first derivative of -8930*k**2 - 22867 wrt k. -17860*k Find the ...
{ "pile_set_name": "DM Mathematics" }
-426)) + 77/276? 2/69 What is the value of (12 - 730/60)/(4/30)? -5/4 What is (112/10)/((-7075)/(-125) + -57)? -28 Calculate (-3360)/3024 + (-88)/18. -6 What is 525/49 - (-2 - -18 - 5)? -2/7 Evaluate 25*(-2)/(((-62)/155)/(6/50)). 15 Calculate 24/(-468) - 800/624. -4/3 Calculate (3588/690 + (-4 - 0))*4/(-6). -4/5 Calcul...
{ "pile_set_name": "DM Mathematics" }
80) + (-2 - h). 220 Suppose -3*d = 0, 2*k - 4*k - 188 = -3*d. Let a = -9553/10 + 958. Calculate the common denominator of k/8 - 2*1 and a. 20 Let c = 60257/28 + -2155. Calculate the common denominator of c and -79/4. 28 Let x(u) = u**2 + 4*u - 5. Let s be x(-5). Let t = 4 - s. Calculate the lowest common multiple of t ...
{ "pile_set_name": "DM Mathematics" }
*c. Let i be y(11). Put i, 10, 5 in decreasing order. 10, 5, i Let y(z) = 11*z + 225. Let r be y(-20). Let d = -821/1575 - 6/175. Put d, r, -3, 1/5 in descending order. r, 1/5, d, -3 Let m be ((-44)/22)/((-4)/6). Suppose 2*n = i + 4, i = m*i - 2*n + 6. Sort i, 3/2, 2/3, 0.4 in descending order. 3/2, 2/3, 0.4, i Let i(z...
{ "pile_set_name": "DM Mathematics" }
-9/4, -1/6, 37/3 Put -5, -1, -4, -22088 in descending order. -1, -4, -5, -22088 Put -2, 139, -4, 2, 70778 in decreasing order. 70778, 139, 2, -2, -4 Sort 543, 735, 3 in ascending order. 3, 543, 735 Put 650, 1, 4, 8402, 3, 5 in increasing order. 1, 3, 4, 5, 650, 8402 Put 1, -46, -23340 in descending order. 1, -46, -2334...
{ "pile_set_name": "DM Mathematics" }
cond biggest value? (a) 5/6 (b) -0.4 (c) -4 (d) p b Let c = -115281.759 - -115349. Let y = c - -0.259. Let v = y + -68. What is the second biggest value in v, 3, -0.1? -0.1 Let n = -6.3483 - 20.0727. Let k = n + -0.579. Which is the fourth smallest value? (a) 3 (b) k (c) 1 (d) 0.1 a Let r = -9627.026 + 9692. Le...
{ "pile_set_name": "DM Mathematics" }
inator of 62/9 and -125/96. 288 Find the common denominator of -1/4 and -91/16. 16 Calculate the common denominator of 49/9584 and -125/18. 86256 Calculate the common denominator of -29/190 and -29/10. 190 What is the least common multiple of 40 and 664? 3320 What is the smallest common multiple of 247 and 195? 3705 Fi...
{ "pile_set_name": "DM Mathematics" }
938 to the power of 1/7, to the nearest integer? 12 What is the cube root of 2245801 to the nearest integer? 131 What is the cube root of 59252402 to the nearest integer? 390 What is the cube root of 220645954 to the nearest integer? 604 What is 1295291591 to the power of 1/2, to the nearest integer? 35990 What is the ...
{ "pile_set_name": "DM Mathematics" }
f/d. Calculate the highest common factor of 95 and h. 19 Let w(z) = 4*z**3 - z**2 - 4*z + 3. Let x be 15/6*(-6)/(-5). Let o be w(x). What is the greatest common factor of 36 and o? 18 Let j = 111 + -45. Let w be ((-2)/4)/((-2)/24). What is the highest common divisor of w and j? 6 Let d = 8 + -6. Suppose 4*v = 4*m - 316...
{ "pile_set_name": "DM Mathematics" }
ousand. -380000 Let y = 13699.2 + -12396. Round y to the nearest one hundred. 1300 Let t = 4301064.61 + -4301026.9100317. Let w = -37.7 + t. Round w to six dps. -0.000032 Let m = 233136387 - 65106387. Round m to the nearest 1000000. 168000000 Let j = -71 + 70.9536. Let q = j + 0.047. Round q to 3 dps. 0.001 Let x = 107...
{ "pile_set_name": "DM Mathematics" }
+ 4*u - 2. Let a(v) = -v**2. Let m(b) = -11*b**2 + 21*b - 10. Let i(z) = -5*a(z) + m(z). Suppose -4 - 7 = -l. What is l*t(p) - 2*i(p)? p**2 + 2*p - 2 Let q(j) be the first derivative of j**2/2 + 2*j + 21. Let a(m) = -m - 4. What is -3*a(x) - 5*q(x)? -2*x + 2 Let m(w) = -3*w**3 + w - 1. Let l(n) = -42*n**3 + 7*n**2 + 7*...
{ "pile_set_name": "DM Mathematics" }
j(-4) a composite number? True Let w(j) = j**3 - 6*j**2 + 4*j + 13. Let h be w(6). Let q be 2/8 + (-166)/(-8). Let n = h + q. Is n composite? True Let z = 140 - -339. Is z a prime number? True Suppose 5*x = 5*y - 140, -3*x + 5*y + 49 = -5*x. Let i be x + (-2 - -3 - -1). Let f = -11 - i. Is f composite? True Suppose 15 ...
{ "pile_set_name": "DM Mathematics" }
2. Let i(r) = 1. Give f*d(l) + w*i(l). -2*l**2 + 2 Let i(t) = -4*t**2 - t + 3. Let s(v) = v**2 + v. Let l be 0 + 9 - (3/(-1) - -3). Suppose 0 = -0*a - 3*a + l. Calculate a*s(u) + i(u). -u**2 + 2*u + 3 Let c(s) = -2*s**2 + 3*s + 3. Let g(x) = -x**2 + 2*x + 2. Let d = 28 - 22. What is d*g(j) - 4*c(j)? 2*j**2 Let l(m) = -...
{ "pile_set_name": "DM Mathematics" }
3.4 + 2261945.399895. Let v = 48 + n. What is v rounded to 5 dps? -0.00011 Let c = 125.029912 - 1.024812. Let n = -122 - 2. Let x = c + n. What is x rounded to 3 dps? 0.005 Let b = -145 + 146.22. Let v = b + -1.273. What is v rounded to 2 decimal places? -0.05 Suppose -2*d + 6*d - 160 = 0. Let y be ((-48)/d)/((-1)/(-46...
{ "pile_set_name": "DM Mathematics" }
+ -7 -102.80253314 Add together -13.71 and 488851. 488837.29 Add 286430.45 and -25. 286405.45 What is the difference between -849234 and 0.3? 849234.3 Total of 563 and -1926.6. -1363.6 What is -0.06 + -2003837? -2003837.06 Work out -4083 - -13546139. 13542056 Calculate 1.721 - -50.608. 52.329 What is the difference be...
{ "pile_set_name": "DM Mathematics" }
-2/11))/((l**(-2/9)/l*l**(3/7))/((l/(l/l**(2/5))*l)/((l/((l*l**(1/3)*l)/l))/l))) assuming l is positive. l**(-88402/45045) Simplify ((r*(r*r/(r/r**1)*r*r)/r)**(-2/19)/(r**2*r**(-3/7)))/((r/r**0)**(-20/9))**(-4) assuming r is positive. r**(-13025/1197) Simplify ((h**3/h**(-2/31)*h**(-2/9)/(h/((h*h/(h*h**(2/7))*h)/h)))**...
{ "pile_set_name": "DM Mathematics" }
6972? -16972 Is -58318 not equal to -58318? False Which is smaller: 1 or -33/9301? -33/9301 Is -63 bigger than -44641? True Which is bigger: 442 or -1303? 442 Is 1 greater than 192894? False Which is smaller: -2117279 or -2? -2117279 Which is greater: -1 or 5/83487? 5/83487 Is 6250 at least as big as 8? True Which is b...
{ "pile_set_name": "DM Mathematics" }
+ 130*d + 147. Let v be x(-15). Let h(o) = -o + 4. Let t(n) = 2. Give v*h(y) + 7*t(y). 3*y + 2 Let q(p) = -4*p**3 - 2*p**2 - 5*p - 1. Let d(a) = -21*a**3 - 11*a**2 - 26*a - 6. Let t = -11791 - -11789. Calculate t*d(j) + 11*q(j). -2*j**3 - 3*j + 1 Let q(l) = 21*l + 3. Let u(a) = -106647 - a + 2*a + 106648. Calculate -q(...
{ "pile_set_name": "DM Mathematics" }
708247 Convert -28634 (base 13) to base 16. -127eb -45a25 (base 11) to base 13 -24330 What is -103140000 (base 5) in base 2? -1101100001011110101 Convert 13111001003 (base 4) to base 7. 22220564 What is 498004 (base 15) in base 4? 31123122001 What is -7ec48e (base 16) in base 15? -ae18be -301741 (base 8) to base 5 -111...
{ "pile_set_name": "DM Mathematics" }
h is smaller: n or r? n Let v(p) = -4*p - 10. Let l be v(-4). Suppose 0 = 6*z - 12*z + 42. Is l greater than z? False Let l be (-1016)/18 - 2/9. Let f = 56 + l. Let s(j) = -j**3 - 9*j**2 - 15*j - 7. Let y be s(-7). Is y at most as big as f? False Suppose -3*f = 93 + 114. Are f and -70 non-equal? True Let c(p) = -2*p**3...
{ "pile_set_name": "DM Mathematics" }
g l is positive. l**(-114/7) Simplify (i*i**(-1/13))**25 assuming i is positive. i**(300/13) Simplify ((a*a/(a/(a**0*a)*a))/a*a*a/a**(-1)*a)/(a**(-1/4))**(22/7) assuming a is positive. a**(67/14) Simplify ((h*h**(-2)*h)/(h/(h**(-6)/h)*h))/(h*h**(-1)/h*h)**13 assuming h is positive. h**(-9) Simplify (q/(q*(q**(2/5)/q)/q...
{ "pile_set_name": "DM Mathematics" }
c(n) = -2*n**3 + 15*n**2 - 9*n + 15. Give c(7). 1 Let p(k) = 36*k + 62. What is p(-2)? -10 Let f(p) = -p**2 + 9*p - 4. Determine f(6). 14 Let c(o) = o**3 - 10*o**2 + 7*o - 7. Calculate c(9). -25 Let a(f) = -16*f - 25. Determine a(-6). 71 Let v(a) = 17*a. What is v(-2)? -34 Let r(u) = -2*u**2 - 24*u - 5. Calculate r(-1...
{ "pile_set_name": "DM Mathematics" }
+ (4 - 11) + 8? 18 Calculate (-11 - (6 - 8) - -8) + -14 + 7 - 60. -68 What is the value of -117 + -23 + 141 + 27? 28 What is the value of 0 + -3 - (37 - -4 - (78 - (6 - -56)))? -28 What is 10 + 1 + 0 + (15 - 38 - -45)? 33 What is (-1 - (-2 + -37)) + 563 + -550 + (1 - 15)? 37 1 + 11 - 0 - (334 + -370) 48 Calculate (-22...
{ "pile_set_name": "DM Mathematics" }
92*d Let y(h) = -39*h**2 + 112*h - 7. Let z(p) = -13*p**2 + 37*p - 2. Let m(u) = 2*y(u) - 7*z(u). What is the second derivative of m(v) wrt v? 26 Let l = 38 + 13. What is the second derivative of -14*k**5 + 51 - l - 14*k wrt k? -280*k**3 Let m(t) be the third derivative of -t**8/28 + t**7/105 - t**5/10 + t**4/24 - 62*t...
{ "pile_set_name": "DM Mathematics" }
t to 1? (a) -5 (b) p (c) 4 b Let q = 0.0216 - -4.9784. Let d = 0.5 - 0.44. Let s = 3.94 + d. What is the nearest to 1 in q, -1/6, s? -1/6 Let y = -267 + 267.119. Let x = y - 0.229. Which is the nearest to x? (a) 1 (b) 4 (c) 0 c Let r = -31 - -24. Let s = -7.07 - r. Let k = s - 5.93. What is the nearest to k in -0...
{ "pile_set_name": "DM Mathematics" }
00005 What is 0.0000027428 rounded to 6 dps? 0.000003 What is -1039800 rounded to the nearest one hundred thousand? -1000000 What is 175 rounded to the nearest ten? 180 Round -0.000007881 to seven decimal places. -0.0000079 Round -66820 to the nearest one thousand. -67000 Round 0.078237 to two dps. 0.08 What is -0.0000...
{ "pile_set_name": "DM Mathematics" }
+ 4. Suppose -2*s + 4 = 2*p, 8 - 6 = -2*p. Solve 2*t + s*f = f - a, f + 20 = -5*t for t. -4 Let c(t) = -3*t**2 - 4*t - 1. Let n be c(3). Let s = n + 47. Solve 10 = 5*m + s*p - 3*p, 5*m - 5*p = 10 for m. 2 Let i(l) = -l**2 - 12*l + 14. Let h be i(-13). Let n be 1*h/(-2)*0. Solve -4*b + n*b = -4*m - 32, 2*b = 3*m + 20 f...
{ "pile_set_name": "DM Mathematics" }
*m**3 + m**3 - 623*m**2 - 632*m**2 - 634*m**2 + 1889*m**2. 6*m**3 Collect the terms in -74 + 56*m - 75*m + 20*m. m - 74 Collect the terms in 17*q**2 - 2078211 + 2078211. 17*q**2 Collect the terms in -689*w**2 + 2164 + 685*w**2 - 2164. -4*w**2 Collect the terms in -189 + 380 + 34*n + 50*n - 191. 84*n Collect the terms i...
{ "pile_set_name": "DM Mathematics" }
k) = k**3 - 22*k**2 + 41*k - 16. Let m be s(20). Suppose 6*o = 3*o - 24. Sort o, -5, m in increasing order. o, -5, m Suppose -5*k = -4*v, 3*v - 4*k = k. Let t be (-123)/(-20) - 6 - (-2)/8. Sort -1/2, -0.3, t, v. -1/2, -0.3, v, t Let z = -29 - -20. Let s = z + -2. Let w = -14 - s. Sort w, 2, -6 in decreasing order. 2, w...
{ "pile_set_name": "DM Mathematics" }
b and 140. 20 Suppose -16*v + 10*v = -66. What is the greatest common divisor of v and 88? 11 Suppose -2*g - 3 = -3*g. Suppose -3*l + 150 = 5*r, -g*r = l - 5*r - 39. Let q(j) = j**2 + j - 2. Let h be q(4). What is the greatest common factor of l and h? 9 Let o be (28*2 - 4 - -2) + 2. What is the highest common factor ...
{ "pile_set_name": "DM Mathematics" }
40)/(-30). What is the greatest common factor of h and 200? 50 Suppose 2*v - 4*v = 3*q - 64, 3*q - v = 67. Suppose 0*w = -2*w - 2*s + 96, 164 = 4*w - 3*s. What is the highest common divisor of w and q? 22 Suppose 3*v = -j + 2*j - 89, 5*j - 3*v = 505. Let w be j/(-10)*100/(-8). Let n = 6 + 7. What is the greatest common...
{ "pile_set_name": "DM Mathematics" }
-1)/(-7)) + -5. Let y(r) = 8*r**2 + 4*r - 1. Let q be y(g). Find the second derivative of -5*a - 37 + 8*a + q - 51*a**2 wrt a. -102 Let i(s) be the second derivative of -25*s**8/56 + s**7/14 + 4*s**6/15 + s**4/6 - s**3/6 + 524*s**2 + 4541*s. Find the third derivative of i(n) wrt n. -3000*n**3 + 180*n**2 + 192*n Let o(r...
{ "pile_set_name": "DM Mathematics" }
139189? 9 What is the hundreds digit of 20005545? 5 What is the tens digit of 425751? 5 What is the hundreds digit of 616744? 7 What is the ten thousands digit of 2537839? 3 What is the millions digit of 6538388? 6 What is the units digit of 249854? 4 What is the tens digit of 67901? 0 What is the thousands digit of 13...
{ "pile_set_name": "DM Mathematics" }
2/3 Let t(s) be the third derivative of -s**5/150 - 159*s**4/5 - 303372*s**3/5 - 2415*s**2. Factor t(b). -2*(b + 954)**2/5 Factor 72 + 28*r - 5*r + 88*r**4 + 3*r**5 + r**5 + 448*r**2 + 312*r**3 + 269*r. 4*(r + 1)**4*(r + 18) Factor 0*q + 0*q**2 + 0 + 2/13*q**5 - 80/13*q**3 - 6*q**4. 2*q**3*(q - 40)*(q + 1)/13 Factor -...
{ "pile_set_name": "DM Mathematics" }
False Is 101174582 a multiple of 95? False Does 73 divide 124176577? True Does 498 divide 111887336? False Is 460575082 a multiple of 4? False Is 33356220 a multiple of 2355? True Is 727179896 a multiple of 31? True Is 4 a factor of 344894249? False Does 11 divide 10349647? True Is 12682593 a multiple of 7? True Is 4 a...
{ "pile_set_name": "DM Mathematics" }
lue in 3, 0.3, 0.061, 4, 5? 4 What is the second smallest value in 2, -4, -0.4, 23/3? -0.4 What is the fourth smallest value in 1, -9, 2/9, -1? 1 What is the second biggest value in -1/2, 2/9, 3, 2/7? 2/7 Which is the third smallest value? (a) 0 (b) -0.2 (c) -6 (d) -11 b Which is the third biggest value? (a) -0.5 ...
{ "pile_set_name": "DM Mathematics" }
eger? 6 What is 4671100 to the power of 1/5, to the nearest integer? 22 What is the square root of 469956 to the nearest integer? 686 What is the fourth root of 21316931 to the nearest integer? 68 What is the cube root of 74960 to the nearest integer? 42 What is 116434 to the power of 1/3, to the nearest integer? 49 Wh...
{ "pile_set_name": "DM Mathematics" }
he first derivative of -17*b**6/2 + 26*b**3/3 - 31. What is the third derivative of n(t) wrt t? -3060*t**2 Suppose 25 = 5*l + 5*g, -4*l + 4 = -2*g + 2. Let h = l - 0. What is the third derivative of -2*t**5 - t**h + 5*t**2 - 3*t**2 wrt t? -120*t**2 Differentiate 0 - 3 - 3*f - 1 + 4*f with respect to f. 1 Suppose -2*v =...
{ "pile_set_name": "DM Mathematics" }
s before 6:07 AM? 8:22 PM What is 704 minutes before 12:33 AM? 12:49 PM What is 388 minutes after 11:22 PM? 5:50 AM What is 152 minutes before 7:42 AM? 5:10 AM What is 240 minutes after 1:54 AM? 5:54 AM How many minutes are there between 12:18 AM and 6:45 AM? 387 How many minutes are there between 3:32 PM and 6:23 PM? ...
{ "pile_set_name": "DM Mathematics" }
(76))) + sqrt(76)) + 4*sqrt(76)*4)/(-2*sqrt(256)*-1*-2). sqrt(19)/32 Simplify (1 + -2 + -3*(sqrt(1377)*-2 + -1) + 3)**2*-2 + 0. -99194 - 1080*sqrt(17) Simplify (2 + ((sqrt(19) - (sqrt(19) - sqrt(38)/sqrt(2))) + 0 - -3*sqrt(76)/sqrt(4))**2 + -6*sqrt(76)*-3)*5. 180*sqrt(19) + 1530 Simplify 1 + ((-5*sqrt(136)*-3 - sqrt(13...
{ "pile_set_name": "DM Mathematics" }
8) Simplify ((u*u/u**(4/7))/(u/(u/(u**(-2/11)*u)*u)))**33/(u**(-1/3)/((u/((u/u**7)/u*u))/u*u*u))**32 assuming u is positive. u**(6716/21) Simplify ((((u*u**(-6/17))/(u**17/u))**18)**(15/4))**(2/153) assuming u is positive. u**(-3915/289) Simplify (t*t*t**7)/t**(-2/63)*((t**(4/7)/t)/t)**(-17/2) assuming t is positive. t...
{ "pile_set_name": "DM Mathematics" }
ded by -4. -68 -7548 divided by -6 1258 Calculate -63 divided by 44. -63/44 Divide -13 by -2. 13/2 Calculate 20664 divided by 28. 738 What is -3400 divided by -10? 340 Divide -12 by -605. 12/605 What is 2219 divided by 317? 7 What is -18843 divided by -3? 6281 -2068 divided by -1 2068 What is 125 divided by -5? -25 108...
{ "pile_set_name": "DM Mathematics" }
). Suppose -3*m = -n*m - 2. Does 12 divide (-26 - m*-1)*-1? True Let h = 247 + -391. Let c = h + 89. Let z = -11 - c. Is 16 a factor of z? False Let g(u) = u**2 + 30. Does 9 divide g(0)? False Let f be 24/9 + 2/(-3). Let c(y) = -y**2 - y + 12. Let o be c(0). Suppose -4*u + o = f*v - v, 5*u + 36 = 3*v. Is 5 a factor of ...
{ "pile_set_name": "DM Mathematics" }
4*q - 3*s - 5 = 0. Sort f, -1/3, q in decreasing order. f, -1/3, q Let l(t) = -t**3 + 16*t**2 + 2*t - 13. Let r be l(16). Suppose r = 5*h + 9. Sort h, -3, -22, 3 in decreasing order. 3, h, -3, -22 Suppose 0 = -b - 0*b - 2. Suppose -10 = -4*y - u, 1 - 3 = 2*y + 4*u. Suppose -m = y - 8. Sort b, -5, m. -5, b, m Let n = -3...
{ "pile_set_name": "DM Mathematics" }
k(x) = 14*i(x) - 6*u(x). Let l be 2 + -1 + (-8)/2. What is k(l)? -10 Let l be 4/(2/(-1) + 4). Let x = l + -5. Let m(k) = 2*k**2 + 7*k + 4. Let u(s) = 3*s**2 + 10*s + 5. Let o(a) = 4*m(a) - 3*u(a). Give o(x). -2 Let p(t) = 5*t - 4*t - 1 - 3*t - 2*t. Suppose 4*j + 4*y - 17 = y, -2*y = -j - 4. Give p(j). -9 Let y(o) = -o*...
{ "pile_set_name": "DM Mathematics" }
-a + 3 = z for a. 2 Let h(a) = -a**2 + 2*a - 1. Let l be h(1). Suppose -3*s + 27 = -l*s. Solve v = -2*v - s for v. -3 Suppose 0 = 147*d - 145*d - l - 26, 3*d = -5*l + 39. Solve 5*j - 2 - d = 0 for j. 3 Suppose -2*r + 8 = 0, 1 = -y + 2*r - 7. Let w = y - -3. Suppose -2*k + w = g - 1, 3*k + 3 = 3*g. Solve -3*t = g*t + 25...
{ "pile_set_name": "DM Mathematics" }
00 Suppose -3*y - 1 = 14, 0 = a - 5*y - 27100025. Round a to the nearest one million. 27000000 Let l = 39 - 39.208. Round l to 2 decimal places. -0.21 Let f(p) = -6371*p**3 - 8*p**2 + 22*p + 17. Let c be f(-15). Suppose 2*n + n = -2*q - 8600009, c = -5*q - 4*n. Round q to the nearest one million. -4000000 Let o = 10 - ...
{ "pile_set_name": "DM Mathematics" }
rom qqqqddqqddq? 14/165 Two letters picked without replacement from jjjjjjjjjjjbjjj. What is prob of sequence jb? 1/15 Three letters picked without replacement from bycooobcycycydyo. What is prob of sequence bcy? 1/84 Calculate prob of sequence yd when two letters picked without replacement from {d: 1, c: 1, y: 1}. 1/6...
{ "pile_set_name": "DM Mathematics" }
62. What is the remainder when g is divided by (-43)/(-5) - (-4)/10? 7 Let u(p) = p + 4. Let x(v) = -2*v - 1. Let g be x(-3). Suppose 3*s = -5 - 4, s = g*w - 28. What is the remainder when w is divided by u(-2)? 1 Let j(m) = -m + 1. Let c(r) be the second derivative of r**3 - 4*r**2 - r. Let u(h) = -c(h) - 12*j(h). Wha...
{ "pile_set_name": "DM Mathematics" }
onvert -1 (base 7) to base 10. -1 Convert 30 (base 8) to base 4. 120 Convert 141 (base 5) to base 10. 46 -34 (base 10) to base 11 -31 What is 11 (base 15) in base 14? 12 -4 (base 16) to base 5 -4 What is -13 (base 4) in base 16? -7 What is -42 (base 10) in base 15? -2c Convert -4 (base 5) to base 2. -100 3c (base 15) t...
{ "pile_set_name": "DM Mathematics" }
ce ttx? 3/20 What is prob of sequence fsk when three letters picked without replacement from {k: 1, q: 2, z: 1, m: 2, f: 2, s: 1}? 1/252 What is prob of sequence yy when two letters picked without replacement from {y: 2, i: 1}? 1/3 Calculate prob of sequence nnn when three letters picked without replacement from {p: 2,...
{ "pile_set_name": "DM Mathematics" }
= 0. 0, 2/5, 1 Suppose -11*j = -10*j - 3. Let v(g) be the third derivative of 4*g**2 - 1/24*g**4 + 1/45*g**5 - 1/18*g**j + 0 + 0*g. Factor v(x). (x - 1)*(4*x + 1)/3 What is n in 96/7 - 2/7*n**4 + 6/7*n**2 + 16*n - 12/7*n**3 = 0? -4, -1, 3 Let c(w) be the third derivative of w**6/180 + w**5/45 + w**4/36 + 19*w**2. Fact...
{ "pile_set_name": "DM Mathematics" }
17*d - 17998 What is the x'th term of 2175, 8848, 19965, 35520, 55507, 79920? -x**3 + 2228*x**2 - 4*x - 48 What is the q'th term of -979401, -979381, -979355, -979323? 3*q**2 + 11*q - 979415 What is the d'th term of -226260037, -226260049, -226260085, -226260157, -226260277, -226260457, -226260709, -226261045? -2*d**3 ...
{ "pile_set_name": "DM Mathematics" }
*h**2 + 194*h + 20. Calculate j(-6). 8 Let h(q) = -q**3 + 108*q**2 - 627*q + 1532. What is h(102)? 2 Let w(n) = 5*n**3 - n**2 + 58*n - 700. Determine w(7). 1372 Let a(s) = -1007*s - 9026. Give a(-8). -970 Let d(a) = 9*a**2 + 3742*a + 64276. Calculate d(-18). -164 Let t(s) = -6109*s + 1557778. Calculate t(255). -17 Let ...
{ "pile_set_name": "DM Mathematics" }
ime factors of a? 2, 37 Let h be ((-70)/3)/2 + (-54)/(-81). Let v(c) = -8*c + 9. List the prime factors of v(h). 97 Suppose -9*m + 1928 = 416. List the prime factors of m. 2, 3, 7 Let u = 61 + -59. List the prime factors of 7/(23/63 + u/(-9)). 7 Let s(p) = 2*p - 29. Let z(h) = 3*h - 29. Let w(a) = -5*s(a) + 4*z(a). Wha...
{ "pile_set_name": "DM Mathematics" }
ree letters picked without replacement from {l: 1, z: 3}. 1/4 Calculate prob of sequence kok when three letters picked without replacement from {k: 6, o: 6}. 3/22 Calculate prob of sequence qulu when four letters picked without replacement from {u: 6, q: 5, l: 3, s: 2, i: 2}. 5/816 Four letters picked without replaceme...
{ "pile_set_name": "DM Mathematics" }