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25284912972. 25284912973 What is -218 take away -3599634? 3599416 -19095873 - 4 -19095877 -2314+-122.35005 -2436.35005 Sum -6 and -1449789079. -1449789085 Subtract -803.33 from 82.265. 885.595 Work out -7826622 - 26. -7826648 Subtract 0.2998 from 0.04073. -0.25907 Sum -21 and -50915. -50936 Put together 48.4 and 5585....
{ "pile_set_name": "DM Mathematics" }
(-38)) -19/2 What is (-5370 - -5220) + (0 - -50)? -100 Calculate (82/(-6) + -99 + (-5424)/(-48))*-327. -109 What is the value of 14/(-161) - 1491/1633 - 43? -44 Calculate 8/((-215)/(-2)*60/(-5550)*-74). 4/43 Calculate -2 - (14/(-3))/7 - 3380/390. -10 What is the value of (-414)/115*30*(-71)/2556? 3 Evaluate (((-95)/(-2...
{ "pile_set_name": "DM Mathematics" }
? 5 What is the units digit of ((-20)/(-15))/((-22)/(-54153))? 2 What is the thousands digit of 59172/((1/5)/((-2)/(-15)))? 9 Suppose -62832 = 16*v - 123*v - 97*v. What is the tens digit of v? 0 Suppose -4*k - 3*b = -44183, 66277 = 6*k - 59*b + 64*b. What is the thousands digit of k? 1 Suppose -1871 + 12671 = 6*h. Let ...
{ "pile_set_name": "DM Mathematics" }
7083, -67093, -67103, -67113? -10*x - 67073 What is the o'th term of 10770, 10806, 10880, 10998, 11166, 11390? o**3 + 13*o**2 - 10*o + 10766 What is the w'th term of 5199, 10404, 15609? 5205*w - 6 What is the j'th term of -296, -220, -92, 88, 320? 26*j**2 - 2*j - 320 What is the g'th term of 56, 599, 2138, 5171, 10196,...
{ "pile_set_name": "DM Mathematics" }
n 49 is divided by k? 15 Suppose -946*a = -934*a - 64956. Calculate the remainder when a is divided by 126. 121 What is the remainder when -1*8/16*(4 + -1658) is divided by 102? 11 Let y be 15*4/12*(-374)/(-10). Let z = 198 - y. Suppose 0*i = -5*i + 210. Calculate the remainder when i is divided by z. 9 Let b = 41 + -1...
{ "pile_set_name": "DM Mathematics" }
, -64, -2, 0 in descending order. 4, 2, 0, -2, -64 Sort -2, 0, -6, -9 in ascending order. -9, -6, -2, 0 Sort -1, -2, -10, -4 in descending order. -1, -2, -4, -10 Sort -2, 1/4, 0.2, 187. -2, 0.2, 1/4, 187 Sort -4, 4, -1, -6 in descending order. 4, -1, -4, -6 Sort 22, -1, 1 in decreasing order. 22, 1, -1 Put 0.8, -0.061,...
{ "pile_set_name": "DM Mathematics" }
1, k, -46 Let y = -2 - -1.8. Let p = 23438 - 23438. Sort p, y, 0.01 in descending order. 0.01, p, y Let b = -94.177 - -0.177. Let f = b - -72. Let m = 19 + f. Put -0.5, 1/4, m in descending order. 1/4, -0.5, m Let s = -100.21 + -0.79. Let l = -105.3 - s. Let m = -4.1 - l. Sort m, -2/9, 3/2 in decreasing order. 3/2, m, ...
{ "pile_set_name": "DM Mathematics" }
erms in -96*c - 181406 + 181406. -96*c Collect the terms in 1746*x + 1335*x - 604*x. 2477*x Collect the terms in 0 - 841*i + 335*i + 7. -506*i + 7 Collect the terms in -1087*k**2 - 35*k**3 - 37*k**3 + 147*k**3 - 31*k**3 - 43*k**3. k**3 - 1087*k**2 Collect the terms in -77*b**3 + 4*b**3 - 9624*b**2 + 9624*b**2. -73*b**3...
{ "pile_set_name": "DM Mathematics" }
3. Let z be q(-10). Suppose 14 = z*v + 1. What is the smallest value in 4, v, i? i Let v = 1.9 - 13.9. Let o = v - -10.2. Let i = o - 0.2. Which is the biggest value? (a) 4 (b) i (c) -4 a Let u = -7.4 - 0.6. Let n(l) = 2*l**2 - l - 20. Let k be n(-3). What is the third smallest value in -2, u, k? k Let k = 72 - 80. ...
{ "pile_set_name": "DM Mathematics" }
y v**0*v/(v*v**(1/4))*v*(v**0*v)**10*(v**(-2))**(-15/7)*(v*(v*v**(1/4)*v)/v)/(v*v**1) assuming v is positive. v**(107/7) Simplify ((r**(-2/47)/(r**(-16)*r))/(r**(-7)/r**(3/25)))**(12/5) assuming r is positive. r**(311292/5875) Simplify ((u**(1/2))**(-11/2))**8/((u*u**1/u)**(12/19))**(8/11) assuming u is positive. u**(-...
{ "pile_set_name": "DM Mathematics" }
s prob of picking 1 z, 1 p, and 1 c when three letters picked without replacement from {a: 8, x: 2, c: 3, z: 1, p: 1, w: 1}? 3/560 Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {e: 2, n: 2, c: 4}. 1/7 Three letters picked without replacement from {l: 1, g: 1, t: 3, x: 2}. What i...
{ "pile_set_name": "DM Mathematics" }
= s**2. Let m(a) = -14*a**2 + 7. Let t(z) be the second derivative of 7*z**4/12 - 3*z**2/2 - 7*z. Let q(j) = -3*m(j) - 7*t(j). What is f(q(x))? 49*x**4 Suppose 3*r = 6*r. Let a(h) = -h + 2*h + r*h - 6*h. Let c(v) = -v**2. Determine a(c(q)). 5*q**2 Let r(w) = 3*w**2 + 5. Let z(g) = g**2 + 3. Suppose -v - 4 = -6. Let k =...
{ "pile_set_name": "DM Mathematics" }
a - 1 + 1 - 2*a + 2*a - a + (1 - 3 + 1)*(2*a + 2*a - 2*a)). 203*a Expand (2 + 2*y**2 - 2)*(3*y**3 - 3*y**3 + y**3) + 5*y - 5*y + 2*y**5 + (16*y**2 - 16*y**2 + y**3)*(2 + 3*y**2 - 2). 7*y**5 Expand (-3 + 6 - 1)*(0*o + o - 2*o) + o + 1 - 1 + (1 - 4 + 1)*(6*o + o - o) - 2*o + 3*o + o - 57*o + 24*o + 29*o - 3. -15*o - 3 Ex...
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 19 What is 10078469 to the power of 1/6, to the nearest integer? 15 What is the fifth root of 6305035 to the nearest integer? 23 What is 73798 to the power of 1/2, to the nearest integer? 272 What is the cube root of 11213117 to the nearest integer? 224 What is 8275747 to the power of 1/8, to th...
{ "pile_set_name": "DM Mathematics" }
of a and 77. 7 Let z(s) = -s**2 + 6*s + 7. Let m be z(6). What is the greatest common divisor of 63 and m? 7 Let k(o) = -o**3 - 3*o**2 + 9*o + 6. Let s be k(-6). Suppose s = a + 3*a. Let j be (5 - 5) + a*2. What is the greatest common divisor of j and 6? 6 Let x be 2/(-7) - 46/(-14). Let z be x/((-4)/(128/(-3))). Let j...
{ "pile_set_name": "DM Mathematics" }
- -0.5. Let s = 4/32423 + 97253/129692. Put s, 1/4, d, 1/7 in decreasing order. d, s, 1/4, 1/7 Let h(q) = 79*q - 275. Let o be h(4). Sort 5, 4, -2, o in ascending order. -2, 4, 5, o Let l be ((-912)/(-40) + -23)/(3/(-5)). Sort 4/27, 1, -0.5, l, 0.1. -0.5, 0.1, 4/27, l, 1 Let s = 9 - 13. Let d = -42919 - -42919. Sort d,...
{ "pile_set_name": "DM Mathematics" }
-2971, -3939, -4875, -5773, -6627, -7431? -8179 What is next in 591, 448, 215, -108, -521? -1024 What is next in 98, 176, 278, 398, 530, 668, 806, 938? 1058 What is next in 537, 1082, 1619, 2148, 2669, 3182? 3687 What comes next: 9, 22, 57, 114? 193 What is the next term in -31522, -31518, -31498, -31456, -31386, -312...
{ "pile_set_name": "DM Mathematics" }
acement from gzzzzggzgoggggggzg? 55/408 Two letters picked without replacement from {c: 5, t: 1, w: 2, j: 1}. What is prob of sequence tj? 1/72 Calculate prob of sequence cs when two letters picked without replacement from jlijciljcslkjcl. 1/70 Two letters picked without replacement from wpkp. Give prob of sequence kp....
{ "pile_set_name": "DM Mathematics" }
ement from vvtuuuuuvufotooff. 3/340 What is prob of sequence if when two letters picked without replacement from {o: 2, v: 1, q: 1, y: 3, i: 4, f: 1}? 1/33 Calculate prob of sequence spe when three letters picked without replacement from {p: 4, e: 8, s: 2}. 8/273 Three letters picked without replacement from {m: 2, b: ...
{ "pile_set_name": "DM Mathematics" }
i - 193733. What is u(-308)? -1 Let j(a) = -6*a**2 + 2280*a + 21071. Calculate j(-9). 65 Let a(b) = -2*b**3 - 62*b**2 - 1080*b - 30594. Give a(-30). 6 Let m(k) = -18*k**2 - 26*k - 23. Determine m(-5). -343 Let y(o) = -7922*o + 71295. Determine y(9). -3 Let t(b) = 2713*b + 789282. Give t(-291). -201 Let c(g) = -7449*g -...
{ "pile_set_name": "DM Mathematics" }
y be r(8). Let c = -27 + y. Solve -c = o - 3*o for o. 5 Let f be (-6)/(-8) + -3 + (-66)/(-8). Let n = 16 - 1. Suppose -3*b = 2*q - n, 2*q + 2*b - 12 = -0*b. Solve -6 = -q*c + f for c. 4 Let y = -41 - -15. Let s = -24 - y. Solve s*z + 2 = -0 for z. -1 Let p(t) = -10*t + 3. Let b be p(-2). Suppose z = 2*q + 15, -b - 22 =...
{ "pile_set_name": "DM Mathematics" }
= h + 7.96. Let q = -0.46 + v. What is the third biggest value in q, 2/3, -4/3? -4/3 Let g be 6/24*24 - 29. What is the biggest value in g, -0.1, -0.3, 0? 0 Let p = 77.17 + -77. What is the second biggest value in p, 4, 1/9, 0? p Let i = 2.9478 - -0.0522. What is the third smallest value in -2, -11, i? i Let d = -49 +...
{ "pile_set_name": "DM Mathematics" }
is the common denominator of -55/64 and 39/28? 448 Find the common denominator of -47/12 and 73/12. 12 Find the common denominator of -18/139 and -74/3. 417 Calculate the common denominator of 25/12 and -32/7821. 31284 What is the lowest common multiple of 93 and 1? 93 What is the common denominator of -31/1908 and 85/...
{ "pile_set_name": "DM Mathematics" }
hird smallest value in s, 5/4, p, -5? s Suppose -219*l + 78*l - 4785 = 4*l. What is the third biggest value in l, -1, 1, -22? -22 Let d = 1.2122 - 0.2502. Let u = 0.842 + -0.78. Let i = u - d. What is the second biggest value in 1/2, -0.5, i, -2/9? -2/9 Suppose 0 = -v + 5*y + 14, 6 = 3*v - 4*y - 3. Let c be (-140)/(-78...
{ "pile_set_name": "DM Mathematics" }
+ 786*u + 16656 + 23800 = -7823 for u. -133 Solve 13039 + 83136 + 85037 = 1526*f - 382 for f. 119 Solve -53*l - 145*l + 11390 = -694 + 798 for l. 57 Solve 131*b - 39749 + 42762 = 0 for b. -23 Solve -8346*a + 5206 + 141302 = 245166 + 318642 for a. -50 Solve -9*s + 24497 = 24497 for s. 0 Solve -1325*k + 781*k - 521*k = ...
{ "pile_set_name": "DM Mathematics" }
Give t(a). -6 Let b(x) be the first derivative of -3*x**2/2 - 10*x + 2069. Give b(-11). 23 Let n(i) = -2*i**2 - 21*i + 10*i + 7 + 0*i**2 + 5*i - 17*i. Give n(-12). -5 Let d(j) be the first derivative of 11*j**2/2 - 123*j - 2274. What is d(10)? -13 Let x(v) = 15 - 2*v**2 + 5*v**2 - 4*v**2 + 1 - 18*v + 2*v**2. Calculate ...
{ "pile_set_name": "DM Mathematics" }
n -2/19, s, 0.4? s Let v = 0.0419 - -1.9681. Let u = v + -0.01. Which is the closest to u? (a) -0.2 (b) 1 (c) -3 b Suppose -2*y + y = -q - 6, -2*y - 5*q - 23 = 0. Let l = 2/9 - -1/36. What is the closest to l in 0.3, 0.5, y? 0.3 Let x = 0.2 - 0. Which is the closest to x? (a) -0.3 (b) 3 (c) 4/5 a Let f = -0.06 - ...
{ "pile_set_name": "DM Mathematics" }
jivmjmnm? 1/4095 What is prob of sequence le when two letters picked without replacement from {r: 2, p: 4, h: 1, e: 1, l: 4, c: 7}? 2/171 Two letters picked without replacement from {c: 2, a: 1, e: 1, g: 2, h: 1}. What is prob of sequence eh? 1/42 Four letters picked without replacement from {w: 2, v: 2}. What is prob ...
{ "pile_set_name": "DM Mathematics" }
he derivative of r(y) wrt y? -57*y**2 Let z = 5 - 6. Let b(o) = o**5 + 3*o**3 + o + 3. Let p(w) = w**3 + 1. Let l(a) = z*b(a) + 3*p(a). Find the second derivative of l(j) wrt j. -20*j**3 Let s be (-1 + (-21)/(-6))*2. What is the second derivative of l**5 - 2*l - 4*l**5 + s*l**5 wrt l? 40*l**3 Let c(l) be the third deri...
{ "pile_set_name": "DM Mathematics" }
x = 3894 - 3356. What is the units digit of x? 8 Let h(m) = 8539*m - 2709. What is the ten thousands digit of h(4)? 3 Let s = -64 - -69. Suppose -5*f = 2*j - 2033, -3*f - s*j = -5*f + 819. What is the tens digit of f? 0 Suppose -38*l + 41*l = 6. Suppose -22 = -3*q + 4*q + i, -5*i = l*q + 56. What is the tens digit of ...
{ "pile_set_name": "DM Mathematics" }
u**(-100/51) Simplify a**3*a**(-8)*a**(3/8)*a/(a*a**(-4)) assuming a is positive. a**(-5/8) Simplify y**(-2/29)*(y*y**(-2/3)*y)/y*y*(y/((y/((y**(1/6)/y)/y))/y)*y)/(y/y**(7/4)) assuming y is positive. y**(253/116) Simplify (v**(-3)*v*v*v/((v**(-21)*v*v*v)/v)*v*v)/((v/(v*(v/(v**(-2/27)/v)*v)/v*v))/v**(-2/71)) assuming v ...
{ "pile_set_name": "DM Mathematics" }
(e) 3/463 a What is the fifth smallest value in 5, 2/11, 1/4, -1/43, -4? 5 What is the biggest value in -19/5, -3, -11.66, 3, -0.5? 3 Which is the fourth smallest value? (a) -1 (b) 0.1 (c) 31/6 (d) -1.9 c What is the fourth smallest value in 7/10, -4/9, 5, -0.78, -0.4, -0.1? -0.1 Which is the fifth biggest value? ...
{ "pile_set_name": "DM Mathematics" }
Let p be 15 + (0 - 2/(-2)). Suppose 5*z = -10, p = -8*b + 4*b - 4*z. Sort b, -4, s. -4, b, s Let h = -5.2 + 5. Let b = h + -2.8. Let t be ((-4)/(-10))/((-2)/(-5)). Sort b, t, -4. -4, b, t Let x = -35.1 + 35. Sort x, -1/4, -0.2. -1/4, -0.2, x Let o(w) = -10 - 2*w + 3*w + 2*w. Let h be o(4). Put 4, h, 3 in decreasing ord...
{ "pile_set_name": "DM Mathematics" }
st common multiple of 10 and q. 10 Let l = -2549/6 - -6811/16. Find the common denominator of l and 85/8. 48 Suppose -31 + 91 = -4*q - u, 2*q = -u - 30. What is the lowest common multiple of 30*(-2)/q*3 and 28? 84 What is the common denominator of (-725)/(-5850)*(-2)/(6/45) and -61/27? 702 Find the common denominator o...
{ "pile_set_name": "DM Mathematics" }
et a(u) = -1674*u**2 - 403*u + 403. Determine 6*a(i) + 403*f(i). 31*i**2 Let k(q) = -3*q + 418. Let o(b) = 23. Give -k(f) + o(f). 3*f - 395 Suppose 82*g = -2605 - 1495. Let w(l) = 35*l**2 + 25*l. Suppose -5*t + 8*t = -2*i + 1, 0 = -i + 2*t - 10. Let m(q) = -3*q**2 - 2*q. Give g*m(o) + i*w(o). 10*o**2 Let q(m) be the se...
{ "pile_set_name": "DM Mathematics" }
undred millions digit of 155708620? 1 What is the tens digit of 59487983? 8 What is the units digit of 1327770254? 4 What is the hundreds digit of 64728148? 1 What is the units digit of 609244019? 9 What is the millions digit of 49349577? 9 What is the hundred millions digit of 554689676? 5 What is the thousands digit ...
{ "pile_set_name": "DM Mathematics" }
60. What is the hundreds digit of a? 1 Let l(p) be the third derivative of p**5/60 - 29*p**4/24 + 4*p**3/3 + 19*p**2. Let q be l(25). Let y = 96 + q. What is the units digit of y? 4 Let i(u) be the first derivative of 2*u**3 - 4*u**2 - u + 86. Suppose 4*j + 4 = 5*j - 5*l, 4*j - l - 16 = 0. What is the units digit of i(...
{ "pile_set_name": "DM Mathematics" }
n + a*n**2 + p and give b. 3 Rearrange (4*b**3 + 0*b**3 - 2*b**3)*(-1 + 2*b + 1) + (-13*b + 4*b - 3*b)*(-2*b**3 - 68*b**2 + 68*b**2) to m*b**3 + c*b + j*b**2 + f + x*b**4 and give x. 28 Rearrange 2*p**2 - 14 + 2*p - p**2 + 33 - 16 to w*p + r + t*p**2 and give t. 1 Express 931*a + 54125 - 54125 as n*a + q and give n. 93...
{ "pile_set_name": "DM Mathematics" }
-1 Solve 0 = 4*c - 28, 14*h + 18*h + c = 49*h - 12*h + 2 for h. 1 Solve 3*c = -646*m + 652*m + 39, c - 48 = 7*m for m. -7 Solve -3*r = -b - 4*b + 23, -2201*b - 4*r + 30 = -2199*b for b. 7 Solve -3*w - 21 = f + w, -3*w - 113 = 4*f - 3 for f. -29 Solve 21*w + 228 = 17*w + 6*f, 63 = -3*w + 11*f - 342 for w. -3 Solve 0 = ...
{ "pile_set_name": "DM Mathematics" }
wer of 1/10, to the nearest integer? 4 What is 5547342 to the power of 1/2, to the nearest integer? 2355 What is 699366 to the power of 1/10, to the nearest integer? 4 What is 640401 to the power of 1/2, to the nearest integer? 800 What is the fourth root of 14131062 to the nearest integer? 61 What is 11300388 to the p...
{ "pile_set_name": "DM Mathematics" }
+ c(q). -q + 2 Let f(r) = -r**3 + 6*r - 8. Let d(y) = 0*y**3 + y**3 - 2 - 5*y + 9. Let w(g) = -g**2 - 8*g - 6. Let i be w(-8). Calculate i*d(m) - 5*f(m). -m**3 - 2 Let f(r) = -4*r**2 - 4*r + 4. Let n(o) = o - 1. Give f(c) + 4*n(c). -4*c**2 Let x(r) = -6*r + 3. Let p(k) = 17*k - 8. What is -3*p(y) - 8*x(y)? -3*y Let g(...
{ "pile_set_name": "DM Mathematics" }
nator of q and n. 10 Calculate the common denominator of -55/16 and 24/(-9 - -3) - (-19)/(-4). 16 Calculate the lowest common multiple of ((2 + 2)*2)/2 and 22. 44 Let j be (0 + 1)/((-9)/144). Find the common denominator of 81/10 and (j - -1)/(5 + -4). 10 Let w(z) = -z**2 - 10*z - 20. What is the least common multiple o...
{ "pile_set_name": "DM Mathematics" }
14*d**2 + 46*d**2 + 25*d + 561*d**3 + 6. 3*(d + 1)**2*(9*d + 2) Let r(x) = 3*x**2 - 7569*x. Let g(c) = -3*c**2 + 7459*c. Let n(d) = 6*g(d) + 7*r(d). Determine m, given that n(m) = 0. 0, 2743 Let f be ((-2126)/168 - 96/1008)*20/(-25). Determine y, given that -f*y**2 + 0 - 3/5*y**3 + 0*y = 0. -17, 0 Let x(s) = -s**3 + 4...
{ "pile_set_name": "DM Mathematics" }
u be 99/(-6)*(-32)/(-6)*1. Let v = 93 + u. Solve -n - 2 = -v for n. 3 Let o(d) = -d**2 + 95 - 11*d - 68 + 2*d**2. Let g be o(8). Solve -5*i - g = -18 for i. 3 Suppose 4*v - 10 = 4*d - d, -3*v - 4*d + 20 = 0. Let z be (1 + -1)/((0 - v)/(-2)). Solve z = -4*m - 0*m + 12 for m. 3 Let q(i) be the first derivative of -i**2 ...
{ "pile_set_name": "DM Mathematics" }
+ 13. Which is the nearest to -0.1? (a) q (b) s (c) p a Let y = 3.33 - -1.67. Let x = 58.9 - 59. Which is the closest to -2/3? (a) x (b) y (c) -1/4 c Let j be ((-4)/30 - 23870/(-5775))/(2 + 5). Let g = -0.3 + 0.2. Let s = -0.2 - g. Which is the closest to s? (a) 2/7 (b) 1/4 (c) j b Let k = -4988 + 4991. What ...
{ "pile_set_name": "DM Mathematics" }
sixths of a minute in milliseconds? 50000 Convert 695532.3 milliseconds to seconds. 695.5323 What is 8/25 of a litre in millilitres? 320 What is 0.7719278 years in decades? 0.07719278 How many seconds are there in one quarter of a day? 21600 What is three eighths of a litre in millilitres? 375 What is 11/8 of a litre ...
{ "pile_set_name": "DM Mathematics" }
2 = 4*m. Let v be -3 + (13 - 11 - -5). Solve -o*r - v = -0*r for r. -1 Suppose -14*y + 110 + 121 - 189 = 0. Suppose 0 = -3*k + 16 + 2. Solve -y*j - 3 = -k for j. 1 Let t(w) = -2*w**2 + 8*w - 159. Let i be t(0). Let k = 162 + i. Solve -k*o - 9 = -6 for o. -1 Let v = 18417 - 18387. Solve 0 = -32*m + 2 + v for m. 1 Let n ...
{ "pile_set_name": "DM Mathematics" }
e the greatest common divisor of 1050 and 3570700. 350 Calculate the greatest common divisor of 555564 and 176896. 2764 What is the greatest common divisor of 44460 and 44538? 78 Calculate the highest common divisor of 178828646 and 118. 118 What is the greatest common divisor of 138955 and 235? 5 Calculate the greates...
{ "pile_set_name": "DM Mathematics" }
ivative of -a**2*i**2*x**2 - 3*a**2*i*x**2 - 2*a**2*i*x + a**2*i + 2*a - 128*i**2*x**2 wrt i? -2*a**2*x**2 - 256*x**2 What is the third derivative of 7*v**5 - 147*v**4 - v**3 + 2630*v**2? 420*v**2 - 3528*v - 6 Find the first derivative of -2741*k**4 - 137. -10964*k**3 Differentiate 6*j**3*l**2 + 3*j**3 + 27*j*l**3 - 2*...
{ "pile_set_name": "DM Mathematics" }
ositive. i**(1972/105) Simplify ((a/(a/a**11))/a**13)**29*((a/(a/(a/(a/a**(-1/2)))))/a)/a*a**(6/11)*a*(a/((a**(-1)/a)/a))/a*a**0 assuming a is positive. a**(-1231/22) Simplify (o/(o*o**4)*o**11*(o/o**(2/3)*o)/o**(3/2))**(-31/5) assuming o is positive. o**(-1271/30) Simplify ((j**1/j)/j**(-1/3))/(j**4*j**4)*j**(-2/3)/((...
{ "pile_set_name": "DM Mathematics" }
1/3)/g))**(-2/37) assuming g is positive. g**(-904/10545) Simplify (n*n*n**(-1/39)*n*n**(-3/14)*n*n)/((n**4/n)/(n/(n/((n/n**(11/7))/n)*n*n*n))) assuming n is positive. n**(-1535/546) Simplify (g*g**(-1/3))**(2/81)*(g**(2/39))**44 assuming g is positive. g**(7180/3159) Simplify ((b**(-1)/b)/b)**(-22)*(b/((b**(-9/4)/b)/b...
{ "pile_set_name": "DM Mathematics" }
117, 185, 287, 429? t**3 - t**2 - 12*t + 77 What is the g'th term of -487, -484, -479, -472, -463, -452? g**2 - 488 What is the n'th term of 136, 271, 406, 541, 676? 135*n + 1 What is the i'th term of -165, -330, -495, -660? -165*i What is the u'th term of 127, 498, 1125, 2014, 3171, 4602, 6313? u**3 + 122*u**2 - 2*u +...
{ "pile_set_name": "DM Mathematics" }
e nearest one thousand. 426000 What is -14.964547 rounded to two decimal places? -14.96 What is -10693065 rounded to the nearest 100000? -10700000 Round -0.00000822683 to seven dps. -0.0000082 What is -0.124383 rounded to five decimal places? -0.12438 Round 0.00000426827 to 6 decimal places. 0.000004 Round 333.20545 to...
{ "pile_set_name": "DM Mathematics" }
the common denominator of (1/2)/(14/(-122)) and (-23)/(-10) - j/(-5). 70 Suppose -2*q + 26 = 8. What is the least common multiple of q and 9? 9 Suppose -28 = -0*q - 4*q. What is the common denominator of 91/6 + -10 + q and (-20)/8*29/(-5)? 6 Let d = 24 - 14. Suppose 83*b = 79*b + 64. What is the least common multiple ...
{ "pile_set_name": "DM Mathematics" }
:13 PM How many minutes are there between 5:14 PM and 11:52 PM? 398 How many minutes are there between 1:16 PM and 3:40 PM? 144 How many minutes are there between 4:59 AM and 3:46 PM? 647 What is 344 minutes before 10:12 AM? 4:28 AM What is 40 minutes after 3:52 AM? 4:32 AM How many minutes are there between 6:45 PM an...
{ "pile_set_name": "DM Mathematics" }
r(j). Solve -5*n = -z - 25, 3 + 17 = b*n + z for n. 5 Let m be (3 - 1)*1/(-2)*-7. Suppose m = -2*k - 5*z, -3*k + 2*z + 14 = -k. Solve -k*s = -2*o - 0*s + 26, s = -4 for o. 5 Suppose -36 = -3*g - 6. Let q be (g/(-5) - -6) + -2. Solve 4 - 2 = -f - q*v, -2 = f - 3*v for f. -2 Let f be ((-4)/(-5))/(32/80). Solve 5*m = 4*a...
{ "pile_set_name": "DM Mathematics" }
f = -0.48 + 0.76. Which is bigger: f or -0.1? f Suppose 7*q - 3*q = 0. Is q not equal to -2/25? True Suppose 0 = -2*m - 10, 4*d - 120 - 43 = -m. Suppose y - d = 8*p - 4*p, 5*y + 10 = -2*p. Is -9 at least p? True Let d = 2.22 + 0.78. Is d greater than 11? False Let s = -16 - -1. Let q be (-363)/210 - (-3)/s. Let r = q +...
{ "pile_set_name": "DM Mathematics" }
*2. Differentiate n(j) with respect to j. -32*j**3 Let m(x) = -x**2 - x + 1. Let g = 20 + -19. Let o(b) = -6*b**5 - b**2 - 11*b + 1. Let c(u) = g*o(u) - m(u). What is the second derivative of c(z) wrt z? -120*z**3 Let n(t) be the first derivative of 0*t + 0*t**4 + 3/2*t**2 + 0*t**5 + 3 + 0*t**3 + 1/3*t**6. Find the sec...
{ "pile_set_name": "DM Mathematics" }
+ 5*u - 1768 = 0. Let w = -82 + u. What are the prime factors of w? 2, 3 Let v be (3/6)/(4/(-8)). Let p be (-1)/v - (-2 + -1). What are the prime factors of 40 - (-2 + 4 - p)? 2, 3, 7 Let t(a) = -13*a + 29. Let p be t(-12). Suppose 4*g = c - 216 - p, -3*c + 193 = -2*g. Let r = -34 - g. What are the prime factors of r?...
{ "pile_set_name": "DM Mathematics" }
y? 0.4 Let t = 2.2 + -2. Let z = 17/6 - 31/12. Which is the closest to t? (a) z (b) -1/4 (c) 5 a Let k be 1/(-7) - (-4)/(-14). Let o be (5/(-2) - 0)*(-240)/(-600). What is the closest to o in 5/6, 0, k? k Let g = 8 + -8.8. Let o = g - -0.9. What is the closest to 0.1 in -1/2, o, 2? o Suppose 0*q = -l + 4*q - 153, 4*...
{ "pile_set_name": "DM Mathematics" }
f 845915, 845866, 845817, 845768, 845719, 845670? -49*z + 845964 What is the n'th term of 85816, 171635, 257456, 343279, 429104, 514931? n**2 + 85816*n - 1 What is the r'th term of -1779761, -1779781, -1779801, -1779821? -20*r - 1779741 What is the r'th term of 10370, 10704, 11252, 12014, 12990, 14180, 15584? 107*r**2 ...
{ "pile_set_name": "DM Mathematics" }
ivisor of 211701 and 68. 17 What is the greatest common divisor of 12744 and 107852? 236 What is the highest common divisor of 14181 and 870? 87 Calculate the highest common factor of 1712 and 6672. 16 What is the greatest common factor of 185877 and 171? 171 Calculate the greatest common divisor of 10496 and 17384. 32...
{ "pile_set_name": "DM Mathematics" }
, 509 What are the prime factors of 500139? 3, 61, 911 List the prime factors of 3041757. 3, 337973 List the prime factors of 2576940. 2, 3, 5, 29, 1481 What are the prime factors of 193130? 2, 5, 7, 31, 89 List the prime factors of 1188778. 2, 23, 43, 601 What are the prime factors of 374233? 23, 53, 307 List the prim...
{ "pile_set_name": "DM Mathematics" }
u**3 and give m. -1 Rearrange 34*s + 36*s**3 - 79*s**3 + 41*s**3 + 3*s**2 - 3*s to the form i + b*s + x*s**3 + t*s**2 and give x. -2 Express -12*m**2 + 22*m**2 + 30*m**2 + (2*m - 4*m + m)*(3*m - m - 4*m) - 109*m**2 + 124*m**2 + 154*m**2 as t*m + w + v*m**2 and give v. 211 Express -396*y**2 + 519*y**2 - 2*y - 27 - 3*y**...
{ "pile_set_name": "DM Mathematics" }
m {m: 9}. What is prob of sequence mmm? 1 What is prob of sequence kkz when three letters picked without replacement from {z: 2, k: 16}? 5/51 What is prob of sequence qhq when three letters picked without replacement from {z: 1, q: 5, l: 2, h: 1}? 5/126 Four letters picked without replacement from ccccc. What is prob o...
{ "pile_set_name": "DM Mathematics" }
454 339577 -30043512 divided by 4 -7510878 -797456 divided by -184 4334 What is 12 divided by 568423? 12/568423 Divide -1979129055 by -3. 659709685 Divide 2140696 by -180. -535174/45 Divide -5995032 by -1. 5995032 Calculate 184 divided by 2808646. 92/1404323 What is -6440010 divided by 6440010? -1 What is 882618809 div...
{ "pile_set_name": "DM Mathematics" }
14) in base 3? 102201122112 What is -ad671 (base 16) in base 8? -2553161 -201200201002 (base 3) to base 16 -5ea1e What is -1686696 (base 10) in base 13? -47095b Convert -211020312 (base 4) to base 14. -3d618 What is -110001000001 (base 3) in base 6? -5024514 Convert d4595a (base 14) to base 7. 114603243 -2323513 (base ...
{ "pile_set_name": "DM Mathematics" }
of 654534*i*t**4 - 2444*i*t - 19*t wrt t. 7854408*i*t**2 Find the second derivative of -410940*h**4*t - 2*h**3*t**2 - h*t**2 - 42*h*t + 255*h - 4*t wrt h. -4931280*h**2*t - 12*h*t**2 Find the second derivative of 35*k*s**4 + 118*k*s**2 - 2*k*s - k - 3*s**2 - 2215*s + 9 wrt s. 420*k*s**2 + 236*k - 6 Find the second der...
{ "pile_set_name": "DM Mathematics" }
ber? False Let o be (-25)/10*36/(-15). Suppose 0 = 3*j - 0*j - o. Suppose -4*a + j*c = -1238, -a + 60 = -c - 252. Is a prime? True Let i(a) = 9 + 2*a**2 + 10*a - 37*a**3 + 8*a**2 + 38*a**3. Is i(-6) a prime number? False Let z(i) = 401*i + 4. Let t be z(1). Suppose 1848 = 3*l - t. Is l composite? False Let n(i) = 10*i*...
{ "pile_set_name": "DM Mathematics" }
+ 4*a. -39*a**2 Collect the terms in -19 + 6 + 1994558*n + 13 + 0. 1994558*n Collect the terms in -61*n**3 + 22*n**3 + 40*n**3 - 362*n + 308*n. n**3 - 54*n Collect the terms in y**2 - 43*y**2 - 21*y**2 - 36*y**2 - 24*y**2. -123*y**2 Collect the terms in -1398*k**3 - 27 + 62 - 32. -1398*k**3 + 3 Collect the terms in 22*...
{ "pile_set_name": "DM Mathematics" }
71*n**2 - 1. Is z(6) a prime number? True Suppose -27965 - 33583 = -12*h. Is h composite? True Suppose 0 = 5*r - 3*l + l - 69, -4*l + 18 = 2*r. Suppose -236 = -4*j + 4*h, -2*j - 3*h = 2*j - 271. Let s = r + j. Is s a composite number? True Let f(n) = -n**3 + 2*n**2 + 3*n + 11. Let a = -14 + 20. Let x be f(a). Let v = ...
{ "pile_set_name": "DM Mathematics" }
uppose -p*l + 3*z + 122 = 0, -30 = -2*l + l - 5*z. What is the remainder when l is divided by g? 7 What is the remainder when 46 is divided by (-8)/(-10) - 112/(-10)? 10 Let z = -39 - -59. What is the remainder when 2/7 + 1088/14 is divided by z? 18 Suppose -1 = -2*y + 1, 4*j - 20 = -4*y. Suppose 0*d = -j*d + 12. What ...
{ "pile_set_name": "DM Mathematics" }
17872? 16 Calculate the greatest common factor of 11 and 297. 11 What is the greatest common factor of 30 and 3610? 10 What is the greatest common divisor of 43 and 5? 1 Calculate the greatest common divisor of 910 and 1330. 70 What is the greatest common factor of 175 and 7000? 175 Calculate the greatest common divis...
{ "pile_set_name": "DM Mathematics" }
at is the thousands digit of 4758943? 8 What is the thousands digit of 80936? 0 What is the units digit of 390154? 4 What is the thousands digit of 182903? 2 What is the units digit of 633801? 1 What is the thousands digit of 15383223? 3 What is the thousands digit of 1358076? 8 What is the units digit of 595520? 0 Wha...
{ "pile_set_name": "DM Mathematics" }
s s a prime number? True Let n(r) be the first derivative of r**5/20 + r**4/8 - 5*r**3/6 + 2*r**2 + 4. Let y(c) be the second derivative of n(c). Is y(4) a prime number? False Suppose 10*x + 3*x - 13871 = 0. Is x a prime number? False Suppose -3*c + 319 + 314 = 0. Let m = c - 113. Let w = m - -105. Is w prime? False Su...
{ "pile_set_name": "DM Mathematics" }
-7) -21 Evaluate ((-1771)/345 - -4) + (-1)/5. -4/3 What is the value of (-17)/68*2*-3*-1? -3/2 Calculate 8 - 2 - (-83 - -87). 2 What is the value of ((-1)/(-4) + 901/(-212))*-2? 8 ((-80)/(-50))/(532/70 - 8) -4 Evaluate (-5)/(200/(-16)) + 2*24/80. 1 -3 + (-1152)/(-126) + 1/(-14)*2 6 Calculate 21*924/7840 + 13/(-5). -1/8...
{ "pile_set_name": "DM Mathematics" }
ue Let l(y) be the first derivative of y**2/2 - 3*y + 1. Let q be l(5). Let d be 0/q + 2/(-1). Which is greater: d or -3? d Suppose 254 = 4*f + 2*q, 4*f = 7*f - 2*q - 208. Which is smaller: 68 or f? f Let p(m) = m - 4. Let f be p(8). Suppose 124 = -4*r + f*h, -3*h = 5*r - r + 103. Is r equal to -27? False Let l = -1729...
{ "pile_set_name": "DM Mathematics" }
16. 16 Let m(t) = -t - 10. Let j(w) = -w**3 + 13*w**2 - 11*w - 12. Let v be j(12). Let s be m(v). What is the common denominator of -121/6 and s*(-1 - (-29)/15)? 6 Calculate the common denominator of 61/30 and (-1915)/770 + 32/(-112). 330 Let a(g) = g**3 + 24*g**2 + 3*g + 87. Calculate the least common multiple of 9 an...
{ "pile_set_name": "DM Mathematics" }
= -t. Suppose -6 = 49*a - 53*a + m, -5*m = a - 12. Solve -6 = 3*p + a*n - n, -2*p = 4*n + t for p. -1 Let b = -26475 - -26477. Solve 3*g + 11 = -d, b*d + 21*g = 18*g - 13 for d. -2 Let p(r) = -r**3 - 81*r**2 - 81*r - 75. Let j be p(-80). Solve j*x = 2*q + 31, 4*q - 2*x + 7*x - 13 = 0 for q. -3 Suppose -14*w = 4 - 298....
{ "pile_set_name": "DM Mathematics" }
is prob of picking 1 x and 1 n when two letters picked without replacement from nnxxxx? 8/15 Three letters picked without replacement from hqhrjjeqfeqq. Give prob of picking 1 q, 1 e, and 1 f. 2/55 Three letters picked without replacement from nbiiyiqyiyyqbycyiibq. Give prob of picking 2 q and 1 y. 3/190 Two letters pi...
{ "pile_set_name": "DM Mathematics" }
6/7, b, o in descending order. b, 6/7, o Suppose 9*u + 15 = 4*u. Suppose -28*v = -3*v + 11*v - 72. Sort -7, u, v in ascending order. -7, u, v Let o = 112 - 84. Let q be ((-6)/o)/(81/(-108)). Sort q, -93, 2/19 in ascending order. -93, 2/19, q Suppose -6*g + 28 + 14 = 0. Let x be (-15)/3 + g + -6. Put 0.2, x, -44, 1 in ...
{ "pile_set_name": "DM Mathematics" }
*2 + x and give d. 15 Rearrange -z**2 - 2*z**2 + 3*z**2 - 2 - 2*z + 19*z**3 to q*z**2 + k*z + t*z**3 + p and give k. -2 Express (-3 - 1 + 3)*(-2*j**3 + 4*j**3 - j**3 + (-3*j - 4*j - 5*j)*(3*j**2 - 4*j**2 + 3*j**2)) in the form p*j**3 + n + v*j + x*j**2 and give p. 23 Express (4*z - 2*z - 4*z)*(2 + 3 - 6)*(-z + 3*z + 5*...
{ "pile_set_name": "DM Mathematics" }
Let f = -83 - u. Is (-876)/(-22) - ((-184)/44 - f) a multiple of 8? True Suppose 4*h - 318 = -242. Suppose -h*k + 456 = -16*k. Does 35 divide k? False Suppose 323*i - 333*i + 9300 = 0. Does 16 divide i? False Let s(x) = 2*x**3 + 51*x**2 + 51*x - 18. Let f be 20/(-5) - (2 - -18). Does 16 divide s(f)? False Suppose -384...
{ "pile_set_name": "DM Mathematics" }
6 Let n(m) = 23*m**2 - 394*m - 7141. What is the hundreds digit of n(-18)? 4 Let t = 659 - -2703. What is the tens digit of t? 6 Let j = -1110 + 7655. What is the tens digit of j? 4 Let n = -20840 - -56189. What is the ten thousands digit of n? 3 Suppose 0 = 117*r - 108*r - 57861. What is the tens digit of r? 2 Let g b...
{ "pile_set_name": "DM Mathematics" }
ositive. u**(28/5) Simplify ((h*h*h*h**(-2/13)*h)/(h/(h**(-2/7)*h)))/(h**(-1/16)*h*h*h/(h/(h*h/(h/h**2)*h*h))) assuming h is positive. h**(-4917/1456) Simplify p**(-43)*p**8/p assuming p is positive. p**(-36) Simplify (p**(2/7)/p*p*p)**40*(p/(p/(p*p*p**3)*p)*p)/(p/(p/((p/(p*p**(-1/3))*p)/p)*p*p*p)) assuming p is positi...
{ "pile_set_name": "DM Mathematics" }
1278397.564 What is -7.983751 + 14263? 14255.016249 Sum -0.2 and -7920033. -7920033.2 Work out -3 - 4938761. -4938764 Subtract -42 from -11799. -11757 What is -929234.57 take away 0.5? -929235.07 What is -16915209 + 926? -16914283 -0.3 - 320483 -320483.3 Add together -2109 and -6392. -8501 What is 1284315 minus 25.04? ...
{ "pile_set_name": "DM Mathematics" }
n, -12*n = -2*o - 11*n - 3. Calculate the least common multiple of o and 78. 78 What is the lowest common multiple of 90 and (-6 - (-56)/6)*30/4? 450 Let o(n) = -3*n**3 - n - 1. Suppose 0 = -2*h + 4*f + 2, 3*h - f + 3*f = -5. Calculate the least common multiple of 12/2 + 120/24 and o(h). 33 Suppose 5*i - 13 = 2*g, -3*g...
{ "pile_set_name": "DM Mathematics" }
- t*c + 10 = 4*u for u. -5 Let t = -67 - -59. Let n be (15/(-12))/(2/t). Solve n*d + 4 = 5*r - 41, 4*d + 31 = 3*r for r. 5 Suppose 238*q - 6 = 240*q. Let d be (q/(-2))/((306/(-48))/(-17)). Suppose -b + 5*h + 6 = -20, 2*b + 4 = -4*h. Solve d*p + 7 = -o, -3*o - 4*p - 7 = b for o. -3 Let g be (-6)/(-4)*(-1 + (-2)/(-6)). L...
{ "pile_set_name": "DM Mathematics" }
+ 0/(-1)). Suppose 3*r - 4*j = 84 - 31, -k = r + 5*j. Is r a multiple of 5? False Let n(a) = 17*a**2 - 35*a - 39. Is n(-5) a multiple of 11? True Is (-3794)/((-5 - -5) + -2) a multiple of 15? False Let r be -3 + (-11)/(-4) + 75/12. Suppose -4*p + 2*y + 378 = 0, -5*p + r = 4*y - 473. Is p a multiple of 19? True Let r = ...
{ "pile_set_name": "DM Mathematics" }
Calculate p(k(b)). 60*b**4 - 534*b**2 + 211 Let q(t) = 378*t. Let v(m) = -703*m**2. What is v(q(l))? -100447452*l**2 Let m(i) be the second derivative of -5*i**4/12 + 2*i + 2. Let j(c) = 3*c**2 - 2*c**2 - 3*c**2. Calculate m(j(g)). -20*g**4 Let m(u) = -2*u. Let y(v) = -12 + 10 - 115*v + 7 - 7. What is m(y(p))? 230*p +...
{ "pile_set_name": "DM Mathematics" }
(-2). 18 Let s(v) = 2*v**2 + 40*v + 150. What is s(-5)? 0 Let c(n) = 2*n**3 - 22*n**2 - 24*n + 4. What is c(12)? 4 Let y(p) = -p**2 + 28*p + 283. What is y(-8)? -5 Let l(n) = n**3 + 13*n**2 - 27*n + 47. Determine l(-15). 2 Let d(u) = -5*u + 4. Determine d(8). -36 Let v(l) = -l**3 - 8*l**2 - 6*l + 3. What is v(-7)? -4 L...
{ "pile_set_name": "DM Mathematics" }
. Let f be (-1)/b + 6 + -5. Calculate the remainder when 40 is divided by ((-168)/18)/(f/(-3)). 12 Let n = 51 + -11. Suppose -2*h - 3*j = 22 - 66, 0 = 2*h + j - n. What is the remainder when 74 is divided by h? 17 Let s(z) = -3*z - 12. Let u be s(-6). Suppose 4*p - u*p = -6. Let f = p + 7. Calculate the remainder when ...
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 3 What is 398 to the power of 1/2, to the nearest integer? 20 What is 1069 to the power of 1/4, to the nearest integer? 6 What is 5204 to the power of 1/10, to the nearest integer? 2 What is 1538 to the power of 1/4, to the nearest integer? 6 What is 7552 to the power of 1/9, to the nearest inte...
{ "pile_set_name": "DM Mathematics" }
. Let p(h) = 6*h - 2. Let r be p(2). Suppose t = -x - 4*x + r. Solve -3*f = o - x + 14, 24 = 3*o - 3*f for o. 3 Let r be ((-72)/(-9))/(2/1). Solve 0 = 4*m + r*g - 5*g + 11, -5*m - 19 = 4*g for m. -3 Let p(i) = i**2 - 5*i. Let f be p(5). Solve f = 4*z + t - 2*t - 12, 4*z - 12 = 4*t for z. 3 Suppose -5*b - 12 = 2*m - 5*m...
{ "pile_set_name": "DM Mathematics" }
/(216/(-20250))? 50 Calculate 3*(-104)/572*22. -12 Evaluate 33/(-6)*23668/1342. -97 Evaluate ((-3014)/85899)/(2/((-96)/(-4))). -8/19 Evaluate ((-3)/(-5))/((-581)/((-10899560)/(-168))). -67 110*((-18)/(-810)*-9)/(-1) 22 What is the value of ((-713)/(-124))/((-184)/(-208))*-16? -104 ((-278)/6255)/((-2)/(-3))*(-25)/1 5/3 ...
{ "pile_set_name": "DM Mathematics" }
61452? 52959204 What is the common denominator of 40/3661861 and -50/17263059? 120841413 Find the common denominator of 59/44850 and -79/106600. 7355400 Find the common denominator of -7/3214591 and -71/16. 51433456 Calculate the common denominator of -85/17172 and -67/3230880. 87233760 What is the lowest common multip...
{ "pile_set_name": "DM Mathematics" }
4/1615 Three letters picked without replacement from {z: 10, l: 4, h: 1, r: 2}. Give prob of picking 3 l. 1/170 What is prob of picking 2 f when two letters picked without replacement from vfwnfhnvnhtfntv? 1/35 Two letters picked without replacement from {g: 3, z: 3, c: 3, e: 1}. Give prob of picking 1 g and 1 c. 1/5 C...
{ "pile_set_name": "DM Mathematics" }
the nearest integer? 672 What is the square root of 44981959 to the nearest integer? 6707 What is the third root of 47767998 to the nearest integer? 363 What is the square root of 304593576 to the nearest integer? 17453 What is the seventh root of 142395935 to the nearest integer? 15 What is the cube root of 17221063 t...
{ "pile_set_name": "DM Mathematics" }
89? True Is 591 a factor of 10112601? True Is 162 a factor of 62834? False Is 174 a factor of 2293369? False Is 2124191 a multiple of 16? False Is 26 a factor of 4204694? True Is 57750 a multiple of 21? True Does 321 divide 126409? False Is 14 a factor of 165844? True Is 813 a factor of 221387? False Does 34 divide 311...
{ "pile_set_name": "DM Mathematics" }
*c Let k(b) be the second derivative of -283*b**8/1680 - 73*b**4/8 - b**3/3 - 12*b**2 - 166*b. Let g(h) be the second derivative of k(h). Differentiate g(t) wrt t. -1132*t**3 Suppose 3*g - 3*v = -g + 50, -g = 2*v - 18. What is the third derivative of 5*h + 2*h**2 - g*h + 65*h**3 - 21*h**3 wrt h? 264 Let k(c) = -26*c**3...
{ "pile_set_name": "DM Mathematics" }