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1*p = -12*p - 1198, -3*o = 5*p + 1190. Let a be 1/(-8) - 8050/o. Solve -4*x - 15 = 5*r + 1, a = -5*x - 5*r for x. -4 Let w = 21375 + -21374. Solve -3*i - 2*b = 2*i + 14, -i - b = w for i. -4 Let g be (-6)/4*140/(-15)*2. Let y = -26 + g. Solve -3*v - 2*p = -10, 6 = y*v + 3*p - 2*p for v. 2 Suppose 4*d = 3*d - 2*n + 8, 0...
{ "pile_set_name": "DM Mathematics" }
ifth biggest value? (a) -5 (b) -321 (c) -2 (d) 254 (e) 3 b What is the third biggest value in -0.2, 0.4, 1/4, -15, 2/799, 2.7? 1/4 What is the smallest value in 1/11, 0, 641666, -4/7? -4/7 Which is the third smallest value? (a) -1.95 (b) 5/2 (c) -2 (d) -191/13 a Which is the second biggest value? (a) 64 (b) ...
{ "pile_set_name": "DM Mathematics" }
qrt(6) + 1 + sqrt(325) + -5)**2. -280*sqrt(13) + 15936 Simplify sqrt(539)*2*-5 + sqrt(77)/(sqrt(42)/(-4*sqrt(6))). -74*sqrt(11) Simplify -4*(-1*sqrt(567))**2*-6*-5. -68040 Simplify (sqrt(320) - (4*(1 + sqrt(320)))**2) + (1 + sqrt(320))*-2 - ((sqrt(320) - (sqrt(320) + 0)**2) + 5 - (sqrt(320) + 1)**2*2). -4181 - 240*sqrt...
{ "pile_set_name": "DM Mathematics" }
? True Suppose -3*i = 4*f - 4447, f = -2*f - 15. Suppose 4*m = -141 + i. Is m a composite number? False Let u(v) = -v + 5. Let q be u(4). Suppose -q - 9 = 2*a + 4*d, -d = -3*a - 1. Is (a - (-1 + 1))*-13 prime? True Let t = 17 + -12. Suppose -3*d + 17 + 5 = -5*y, 0 = t*d + 5*y - 90. Is d composite? True Let y be (-11600...
{ "pile_set_name": "DM Mathematics" }
assuming y is positive. y**(-470/1197) Simplify (i**(-6))**(1/3)/((i*i**(2/9))/(i**(-1/8)/i)) assuming i is positive. i**(-313/72) Simplify (f*f/((f/(f/f**(-6)))/f)*f)**(-13/3)/((f/(f/(f/(f**(-5)/f))))/f**(11/3)) assuming f is positive. f**(-140/3) Simplify (((w*(w*w**(-3/2))/w)/w**(-4))**(-37))**20 assuming w is posi...
{ "pile_set_name": "DM Mathematics" }
site number? False Is 441667 a composite number? False Is 1510279 a composite number? False Is 3299 a composite number? False Is 187333 prime? False Is 18385 composite? True Is 22189 prime? True Is 33523 a composite number? True Is 4369 a composite number? True Is 3607 prime? True Is 25477 composite? True Is 664291 a p...
{ "pile_set_name": "DM Mathematics" }
9*j**2*z + 393*z**2 + z + 2 with respect to j. 456*j**3*z**2 - 238*j*z What is the second derivative of 791257*j**2 + 539191*j? 1582514 What is the second derivative of -v**4 - 4379*v**2 + 69356*v? -12*v**2 - 8758 What is the third derivative of -108914*m**3*n + 2*m**2*n + 3*m*n + 2*m - 2630 wrt m? -653484*n What is th...
{ "pile_set_name": "DM Mathematics" }
2 - 11*u - 12. Let v be o(10). Suppose -4*c + 8*c - 2*q = v, 4*c - 77 = q. What is the remainder when 92 is divided by c? 16 Suppose 4*u = 5*a - 144, -a - 60 = -3*a + 4*u. What is the remainder when a is divided by 10? 8 Let t = 8 + 8. Let k be (4 + (-156)/(-42))*-7. Let n = -25 - k. Calculate the remainder when n is d...
{ "pile_set_name": "DM Mathematics" }
-22? 24 Which is the biggest value? (a) 2 (b) -2028.627 (c) 4 c Which is the second smallest value? (a) 8 (b) 0.918 (c) 3 (d) 7 c What is the smallest value in 1, 4, 0.5, -18, 3? -18 Which is the second biggest value? (a) 4 (b) -34 (c) -1/2 (d) -8 (e) 4/17 e Which is the biggest value? (a) -0.5 (b) 0 (c...
{ "pile_set_name": "DM Mathematics" }
x**7/630 - x**6/720 + x**5/20 + x**4/6 + 42*x. Let s(j) be the third derivative of f(j). Is s(5) composite? True Is (7 - 1) + 35545/(-15)*(-3)/1 a composite number? True Let d be -3 + (-15)/(-6) + 18/4. Is ((-30)/(-15))/(d/15578) a prime number? True Let c = 8679 + -4502. Is c prime? True Let h be (-18 - -19)*98*(-89)/...
{ "pile_set_name": "DM Mathematics" }
l is divided by i. 30 Let d(i) = -i**2 + 107*i - 2340. What is the remainder when 111 is divided by d(31)? 15 Let r = 50 + -43. Suppose -u - 6*u = -r. Calculate the remainder when (u + 3 + -3)*10 is divided by 7. 3 Suppose 11*i = 33*i - 44. Suppose -49*c + 51*c - 242 = i*t, 5*c - 603 = 3*t. What is the remainder when c...
{ "pile_set_name": "DM Mathematics" }
factor of 1299629 and 79? 79 Calculate the highest common factor of 79228 and 7424. 116 Calculate the greatest common factor of 731 and 3225. 43 Calculate the highest common divisor of 1040 and 10266360. 520 What is the greatest common divisor of 143 and 27731? 11 What is the highest common divisor of 1041775 and 175?...
{ "pile_set_name": "DM Mathematics" }
s). 2 Let c = 15 + -12. Suppose 4 = d - c*d. Let b(w) = -38*w + 23. Let p(f) = -13*f + 8. Let s(j) = 6*b(j) - 17*p(j). Determine s(d). 16 Let w(d) = d**2 - 2*d - 2. Let t be w(-1). Let l(y) = 1 + 0 + t + 4*y. Determine l(-3). -10 Let q(l) = 2*l**3 - 3*l**2. Let m be 5 - ((-5)/((-30)/6) + 2). Give q(m). 4 Let u(j) = -3*...
{ "pile_set_name": "DM Mathematics" }
186901)/37388). Let t = r + 176/9. Find the common denominator of 27/5 and t. 5 Let f = -1890 - 62. Let l = f + 3457. What is the common denominator of -1 - -1 - (l/(-231) - -4) and -28/15? 165 Let i = 46 + -42. Suppose 208 = 9*k + i*k. What is the smallest common multiple of k and 154? 1232 Let g = -261221 - -67395137...
{ "pile_set_name": "DM Mathematics" }
1/15 Three letters picked without replacement from {l: 2, d: 2, i: 6, p: 2}. Give prob of sequence ppl. 1/330 Two letters picked without replacement from nnpnpnnnnnppnn. What is prob of sequence nn? 45/91 What is prob of sequence oa when two letters picked without replacement from {t: 1, o: 1, a: 1}? 1/6 Three letters ...
{ "pile_set_name": "DM Mathematics" }
remainder when 915 is divided by 71. 63 Calculate the remainder when 2160 is divided by 41. 28 Calculate the remainder when 288 is divided by 14. 8 Calculate the remainder when 77 is divided by 41. 36 Calculate the remainder when 159 is divided by 144. 15 What is the remainder when 116 is divided by 20? 16 Calculate t...
{ "pile_set_name": "DM Mathematics" }
.25690838 Sum -16653 and 145374206. 145357553 Sum 425478650521935 and -3. 425478650521932 What is 69451 plus 7760259.393? 7829710.393 What is the difference between 21884799 and -1264738.7? 23149537.7 Subtract 1280 from 2.887853699. -1277.112146301 2310691.406 - -69774 2380465.406 What is the difference between -124 an...
{ "pile_set_name": "DM Mathematics" }
tors of s(5)? 5 What are the prime factors of (3 - 92/28) + (-1724)/(-7)? 2, 3, 41 Let n(z) = -22*z**2 - 2*z + 1. Let w be n(1). Let l = w - -30. List the prime factors of l. 7 Let x(j) = -2*j**2 + 465. Let v be x(0). Let l = v + -268. What are the prime factors of l? 197 Let v be (9 - -1)*(-5)/(-10). Suppose -2*s = -v...
{ "pile_set_name": "DM Mathematics" }
379*x + 302. What is a(49)? -41 Let l(w) = -11*w**2 + 229*w - 420. What is l(6)? 558 Let u(l) = -10026*l + 20048. Determine u(2). -4 Let i(z) = z**3 - 1342*z - 15299. Calculate i(-13). -50 Let z(y) = 11*y**2 - 3734*y + 63651. Give z(18). 3 Let t(z) = -z**2 - 9710*z + 3344315. What is t(333)? -4 Let u(n) = 21*n**3 - 81*...
{ "pile_set_name": "DM Mathematics" }
0*v + 0*v**4 + 0*v**3 + 4/15*v**6 - 14*v**2 - 17/30*v**5 + 0. Find the third derivative of k(p) wrt p. 192 Let k = -322 + 322. Let w(p) be the second derivative of k + 0*p**4 + 2*p - 2*p**2 + 0*p**3 - 1/5*p**5. Differentiate w(r) wrt r. -12*r**2 Let j(o) be the second derivative of 0 + 3*o - 7/6*o**3 - 1/12*o**4 + 0*o*...
{ "pile_set_name": "DM Mathematics" }
he second derivative of 10*a**3 - a**2 + 3*a**2 + j - 14*a**3 + 6*a**3 - 5*a wrt a. 12*a + 4 Let w = -665 - -667. Let r be ((-18)/(-15))/(4/10). What is the third derivative of -2 + 15*l**r + 19*l**w + 2 - 34*l**3 wrt l? -114 Suppose 2*w - 2 = 0, -13 = -4*h + w - 2*w. Differentiate -4*s**h + 294 - 183 + 19*s**2 - 169 w...
{ "pile_set_name": "DM Mathematics" }
*3 Find the second derivative of 666*y - 654*y - 27*y**5 - 4 + 4 wrt y. -540*y**3 Let u(n) be the first derivative of n**8/168 + n**4/6 + n**2/2 - 5. Let i(c) be the second derivative of u(c). What is the second derivative of i(x) wrt x? 40*x**3 Suppose 0 = 5*d - 1 + 6, -4*w + 17 = 3*d. What is the third derivative of ...
{ "pile_set_name": "DM Mathematics" }
9678096875 How many years are there in one fifth of a millennium? 200 How many millilitres are there in 29/2 of a litre? 14500 Convert 0.8345655 kilometers to centimeters. 83456.55 How many milligrams are there in 114206.8ng? 0.1142068 What is twenty-one fifths of a century in decades? 42 What is 0.4043311um in centime...
{ "pile_set_name": "DM Mathematics" }
ate u(o(c)). 4*c Let g(k) = k. Let v(i) = -14*i**2 + 8*i + 5. Let y(c) = 14*c**2 - 7*c - 4. Let o(m) = 4*v(m) + 5*y(m). Determine g(o(j)). 14*j**2 - 3*j Let o(b) be the second derivative of -b**4/4 + 2*b. Let y(d) = -2*d**3 - 1. Let a be y(-1). Let g(l) = -3 + 2 + a + 2*l. Calculate o(g(z)). -12*z**2 Let p(f) = -105*f*...
{ "pile_set_name": "DM Mathematics" }
Let g(o) = 8*o - 5. Let f(y) = -64 - 16*y - 7*y + 43 + 35. What is m*f(b) + 17*g(b)? -2*b - 1 Let i(f) = -11*f - 15. Suppose 2*j - 6*j - 40 = 4*m, -3*j = -3*m - 48. Let w(p) = -5*p - 7. Give m*w(r) + 6*i(r). -r + 1 Let i(p) = -3*p**3 - 7*p**2 - 7*p - 9. Let o be (-29)/4 + (-1)/(-4). Let t(k) = -7*k**2 + 8*k**2 - 4*k - ...
{ "pile_set_name": "DM Mathematics" }
32*j + 30 = 35*j for j. 10 Solve 0 = -97*x + 124*x + 216 for x. -8 Solve -56 = -27*f - 137 for f. -3 Solve 14*y = 90 + 8 for y. 7 Solve 23*u = 16*u - 35 for u. -5 Solve 0 = 22*d - 24*d + 6 for d. 3 Solve 92*o + 442 = -202 for o. -7 Solve 22 = -36*b + 166 for b. 4 Solve 13*a = 5*a for a. 0 Solve 14*j = 97 - 41 for j. 4 ...
{ "pile_set_name": "DM Mathematics" }
est common divisor of 23 and v? 23 Suppose -203 = 5*p - 783. Suppose -11 = -2*d + 47. Calculate the greatest common divisor of p and d. 29 Suppose 624 = 16*r - 352. What is the greatest common divisor of r and 183? 61 Let o be ((-56)/10 - -2)*(-40)/24. Calculate the highest common factor of 39 and o. 3 Let i be 58 + -1...
{ "pile_set_name": "DM Mathematics" }
s the fourth smallest value in 206/5, 0.5, 0.4, -4, -1/4? 0.5 Which is the smallest value? (a) -1 (b) 6 (c) -2/19 (d) -567 d Which is the fourth biggest value? (a) -67/2 (b) -4/5 (c) 0.2 (d) 5 (e) -2/3 b Which is the second biggest value? (a) -9.5 (b) 3 (c) 11839 b What is the second smallest value in -3/8,...
{ "pile_set_name": "DM Mathematics" }
*x**4 + w*x + i*x**2 + d*x**3 + p and give p. 0 Rearrange -2 + 4 - 1291*w**2 + 49*w + 1293*w**2 to the form y*w + g*w**2 + k and give g. 2 Express (2 + 14 - 1)*(2*t + 2*t + 2 - 2*t - 3 + 3 - t + 0*t - 3*t + 2*t + (2*t - 2*t - t)*(1 + 0 + 0) + 3*t + t - 5*t - 3*t + 2*t - 2*t) as c + g*t and give g. -75 Express (16 + 1 +...
{ "pile_set_name": "DM Mathematics" }
f -30, -10, 10, 30, 50, 70? 20*l - 50 What is the a'th term of 37, 43, 49, 55, 61? 6*a + 31 What is the o'th term of 1029, 1032, 1045, 1074, 1125, 1204, 1317? o**3 - o**2 - o + 1030 What is the p'th term of -101, -102, -103, -104? -p - 100 What is the o'th term of -55, -103, -151, -199, -247? -48*o - 7 What is the x'th...
{ "pile_set_name": "DM Mathematics" }
-5*l = -25, -5*l - 61 - 14 = -5*z. Suppose -w = -6*w + z. Let p(h) = -h**2 - 6*h + 47. Let k be p(-10). Solve 23 = -w*g + k for g. -4 Let n(s) = s**3 + 8*s**2 + 2. Let j be n(-8). Suppose 2*d - 17 = -4*f + 1, j*f = 3*d - 3. Solve r - 8 + d = 0 for r. 5 Suppose 5*g + 23 = c + 2*c, -16 = 4*g. Solve 5*j + 9 = -c for j. -...
{ "pile_set_name": "DM Mathematics" }
d 26? 13 Calculate the greatest common factor of 4455 and 54. 27 Calculate the highest common factor of 28608 and 24. 24 Calculate the highest common factor of 427 and 21. 7 Calculate the greatest common factor of 1668 and 5282. 278 Calculate the greatest common divisor of 23 and 1380. 23 Calculate the highest common d...
{ "pile_set_name": "DM Mathematics" }
*4 + 410*u**3 + 420*u**2 - 410*u - 415 = 0. -1, 1, 83 Suppose 9*s**4/4 + 73857*s**3/2 + 602143321*s**2/4 - 8107529080*s + 108451662400 = 0. Calculate s. -8233, 80/3 Suppose 3*s**2 - 75630*s + 476658075 = 0. Calculate s. 12605 Suppose 15*o**5 + 215*o**4 - 665*o**3 + 265*o**2 + 170*o = 0. Calculate o. -17, -1/3, 0, 1, 2 ...
{ "pile_set_name": "DM Mathematics" }
. -11, 1/4, 18, 787 Factor -h**3/3 + 27413*h**2/3. -h**2*(h - 27413)/3 Let -6*m**4/13 - 5056*m**3/13 - 1098854*m**2/13 - 14131036*m/13 - 687216 = 0. Calculate m. -417, -412, -13, -2/3 Suppose 2*j**5/5 - 127876*j**4/5 + 2044289656*j**3/5 - 8175496316*j**2/5 + 6131334534*j/5 = 0. What is j? 0, 1, 3, 31967 Let 2*p**3/7 + ...
{ "pile_set_name": "DM Mathematics" }
-0.5 (b) y (c) d c Let q = 3.09 - 0.09. Let v = q + -6. Which is the smallest value? (a) v (b) -0.3 (c) 0 a Let l = 5.1 + -2.3. Let d = l + -3. Which is the third smallest value? (a) d (b) 4/7 (c) -2 b Let i(o) = o + 12. Let p be i(-8). Which is the third smallest value? (a) -5 (b) p (c) -2 b Let f(x) = -x ...
{ "pile_set_name": "DM Mathematics" }
f(i). -5 Let i(x) = -x**3 - 19*x**2 - 38*x - 58. Let j be i(-17). Let h(z) = -3*z + 23. Determine h(j). -7 Let y be 15/(-35) + (-87)/(-7). Suppose -4*r = -y*r + 16. Let a(s) = -3*s**2 + s - 2. Calculate a(r). -12 Let k(a) be the second derivative of 5/6*a**3 + 4*a + 3/2*a**2 - 1/24*a**4 + 0. Let y(d) be the first deri...
{ "pile_set_name": "DM Mathematics" }
v? 20/91 Four letters picked without replacement from llylyybrlbjle. Give prob of picking 1 e, 1 l, 1 j, and 1 y. 3/143 Two letters picked without replacement from {i: 4, g: 4, f: 4, l: 8}. What is prob of picking 2 l? 14/95 Four letters picked without replacement from btttwiusbwutt. What is prob of picking 1 b, 2 t, a...
{ "pile_set_name": "DM Mathematics" }
o*z + 36 = -14 for z. -2 Let y(a) = -a**2 + 25*a + 36. Let i be y(26). Suppose 3*q + 3*u = 9, 1 - i = -2*q - 5*u. Solve -x + 6 = q*x for x. 2 Let s = 5097 + -5097. Solve 0*g + 24*g + 144 = s for g. -6 Let i(g) = -g**3 - 15*g**2 - 2*g - 18. Let d be i(-15). Suppose -4*w + 3*w + 4*t - 11 = 0, 0 = -3*t + d. Solve 0*s - w...
{ "pile_set_name": "DM Mathematics" }
/h)**(-5) assuming h is positive. h**(585/2) Simplify (((t*t*(t/(t*t**(-2/11))*t)/t)/t**(-1))/(t/((t/((t*t**(-1))/t*t))/t)*t)**20)**40 assuming t is positive. t**(-16200/11) Simplify (w**(-1/3)/w*w**(21/2))/(w/w**(-2/21))**(9/11) assuming w is positive. w**(3821/462) Simplify ((n**(-1/4)/(n/n**(1/4)))**(-33))**(1/10) a...
{ "pile_set_name": "DM Mathematics" }
at is 264 minutes after 3:38 PM? 8:02 PM What is 90 minutes after 5:40 PM? 7:10 PM What is 398 minutes after 10:48 PM? 5:26 AM What is 71 minutes after 12:01 PM? 1:12 PM How many minutes are there between 7:25 PM and 1:53 AM? 388 How many minutes are there between 7:53 AM and 4:59 PM? 546 How many minutes are there bet...
{ "pile_set_name": "DM Mathematics" }
-63 Calculate 1986 divided by -9. -662/3 Calculate -340 divided by 8. -85/2 18296 divided by -4574 -4 Calculate -216 divided by 54. -4 Calculate -61 divided by 61. -1 Divide -675 by 135. -5 -199 divided by -41 199/41 What is 68 divided by -17? -4 What is 53 divided by -448? -53/448 2 divided by -331 -2/331 What is 365...
{ "pile_set_name": "DM Mathematics" }
= 0 - 1 - h + 3 - h**2. Let r be j(-2). Suppose r = -u - b + 1199997, -4*u - b + 2*b + 4800003 = 0. Round u to the nearest 100000. 1200000 Let r = 0.01 + -0.01000065. Round r to seven decimal places. -0.0000007 Let v(r) = 13*r**2 + 4*r - 4. Let x be v(3). Suppose -3*h + 2 = 11. Let c be (x*16)/(h/(-210)). Round c to t...
{ "pile_set_name": "DM Mathematics" }
What is -8*a(o) - 3*p(o)? -2*o**3 - 3598*o - 2 Let j(z) = 10*z**3 - 36*z**2 - 16*z + 708. Let g(s) = -2*s**3 + 7*s**2 + 3*s - 143. Give 16*g(n) + 3*j(n). -2*n**3 + 4*n**2 - 164 Suppose 19*m = 22*m + 3. Let c(a) = a**2 - 6*a + 12. Let v(d) = -2*d + 3. Let t(l) = m*c(l) + 3*v(l). Let o(n) = 1. What is 5*o(i) + 2*t(i)? -...
{ "pile_set_name": "DM Mathematics" }
-7*a + 3. Let h be b(-1). Let p be 3 - 2 - (-7 + (h - 5)). Suppose p*n + 1071 = 12*n. List the prime factors of n. 7, 17 Let u = 42 + -40. Suppose -5*p = -0*j - 5*j + 3085, u*p - 602 = -j. What are the prime factors of j? 2, 3, 17 What are the prime factors of 2/(-18) + (-130)/40 + 18455805/324? 7, 79, 103 Let a(p) = p...
{ "pile_set_name": "DM Mathematics" }
+ 681*u - 695*u + 2*u**2 + 1 to the form z*u**2 + v + x*u and give x. -14 Express (3472*d - 3165*d + 8100*d + 2122*d)*(4*d**2 + d**2 - 6*d**2) in the form q + u*d**2 + x*d**3 + l*d and give x. -10529 Rearrange 8*v**3 + 75*v - 77*v - v**4 + 1 + 7*v**2 - 10*v**3 to the form g*v + p*v**2 + y*v**4 + b*v**3 + x and give x. ...
{ "pile_set_name": "DM Mathematics" }
l - 2 for p. -1 Let k = 18 + -6. Let i = k + -8. Let x(q) = -q**3 + 5*q**2 - 13. Let a be x(4). Solve -2*d - 16 = d + 4*h, i*d + 13 = a*h for d. -4 Suppose 5*h - n - 4 = 2*n, -9 = -3*h + 4*n. Let w be 2/(-4 - (h + -4)). Solve -10 = -w*v + v + 2*r, 8 = 5*v + 4*r for v. 4 Let p = 64 - 60. Suppose 0 = y + 3*d + p, 3*y + ...
{ "pile_set_name": "DM Mathematics" }
ify -1*sqrt(4608) + -2 + 0 + (((sqrt(224) - sqrt(224)*2) + sqrt(224))*-6)/((sqrt(77) + 2*sqrt(77))/sqrt(11)) + -3. -48*sqrt(2) - 5 Simplify (-4*2*sqrt(91) - (-5*(-3*sqrt(91) + sqrt(91) - sqrt(91)) - sqrt(91)))/(5*((-2*sqrt(567) + sqrt(567) + sqrt(567))*-6 + sqrt(567))). -22*sqrt(13)/45 Simplify (3*2*(2*(sqrt(72) - sqrt...
{ "pile_set_name": "DM Mathematics" }
composite? False Suppose 4*a - 8*a = -1884. Suppose 4*c - c - a = 0. Is c prime? True Let g(d) = d**2 + 5*d - 4. Let t = -11 - -5. Let j be g(t). Suppose 4*u + 3*b = 284, -3*u - 7*b = -j*b - 202. Is u a prime number? False Let i(b) = -4*b - 12. Let k be i(-8). Suppose 2*h = k + 26. Is h a composite number? False Suppo...
{ "pile_set_name": "DM Mathematics" }
1 Let z = 242 + -167. What is the units digit of z? 5 Suppose 5*l + 22 = 92. What is the units digit of l? 4 Suppose -2*g = -4*g + 2*o - 2, -4*g - o = -21. Suppose -g*a = -5*u - 24, 3*a - 5*u = 12 + 1. Suppose 4*k = -3 + a. What is the units digit of k? 2 Suppose p + p - 19 = -3*r, -2*p + 5*r + 43 = 0. Suppose h = 5 - ...
{ "pile_set_name": "DM Mathematics" }
15 Three letters picked without replacement from gwgeigugi. What is prob of picking 1 w, 1 u, and 1 g? 1/21 Calculate prob of picking 1 b and 1 d when two letters picked without replacement from {b: 1, h: 1, x: 1, d: 1, a: 1}. 1/10 Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {...
{ "pile_set_name": "DM Mathematics" }
+ 102/(-3)). Suppose 3*i - 8*i + v = d, 0 = -3*i. Solve -d*u = -28*u for u. 0 Suppose 18 - 48 = v - 7*v. Solve -7*l - 8*l - v*l = 0 for l. 0 Let z = 0 + 3. Let a(l) = -l**3 - 10*l**2 + 10*l - 9. Let x be 33/6*-1*2. Let j be a(x). Solve -3 = j*o - z*o for o. 3 Suppose 17*r - 337 = -31. Solve r*a + 21 + 51 = 0 for a. -4...
{ "pile_set_name": "DM Mathematics" }
3*(-30)/o? False Suppose -4*y + 4*q = -56216, 6*q + 5 = 7*q. Is y a multiple of 37? False Let a(h) = 16*h**2 + 4*h + 9. Suppose -l + 188 = 192. Does 10 divide a(l)? False Let v = 81 - 80. Let c be 7/(v/(2 + -1)). Suppose 0 = 2*d + 2*i - 166, 4*d + 4*i + 214 = c*d. Does 29 divide d? False Suppose 9*x = 11*x. Let l be x*...
{ "pile_set_name": "DM Mathematics" }
t term in 1009, 999, 975, 931, 861, 759, 619? 435 What comes next: 22, 99, 230, 415, 654, 947? 1294 What is the next term in 228, 246, 264, 282? 300 What is the next term in -64, -142, -220, -298? -376 What comes next: 273, 270, 267, 264, 261? 258 What is the next term in -405, -408, -413, -420, -429, -440? -453 What i...
{ "pile_set_name": "DM Mathematics" }
= 2*x + s + 142 - 155. Solve 6 - p = x*f for f. 1 Suppose -3 - 5 = -4*a. Suppose 0 = a*c + 1 + 5, -2*g + 18 = -4*c. Solve g*i - 4*i = -5 for i. 5 Let f = -234 - -249. Solve a - f = -2*a for a. 5 Let m(h) = -3*h**2 + 99*h - 93. Let j be m(32). Solve 14*u = -j*u - 17 for u. -1 Let m be (0 + -1)/(657/(-81) + 8). Solve -m*...
{ "pile_set_name": "DM Mathematics" }
y? 210 Let y(v) be the second derivative of -v**8/56 - v**6/3 - 59*v**4/6 - 8*v + 6. Find the third derivative of y(p) wrt p. -120*p**3 - 240*p Let m(y) = -6*y**4 - 5*y**3 - 2*y + 8. Let j(f) = -f**4 - f**3 - f + 1. Let p(i) = -5*j(i) + m(i). Find the second derivative of p(r) wrt r. -12*r**2 Differentiate 19*b**4 - 2...
{ "pile_set_name": "DM Mathematics" }
-4*z + 580*r, 0 = 3*z + r + 10 for z. -2 Solve 4*m - 27 = -5*m, 0 = -u - 0*u - 3*m + m for u. -6 Solve -8 = -2*d - g, 19*d + 3*g - 32 = 17*d for d. -2 Solve -20 = 5*o - 3*l, 4*o - 182 = 5*l - 198 for o. -4 Solve 3*u - 18 = 3*k, 5*k - 4*u - 47 = -75 for k. -4 Solve -6*g + 10*g + 16 = 0, 0 = -5*a - 5*g - 45 for a. -5 Sol...
{ "pile_set_name": "DM Mathematics" }
) = -k**2 + 11 + 6*k + 4*k**2 + k**2 - k**2. Is n(8) a prime number? True Suppose 0 = -5*m + 2*v + 797 + 2072, v + 1148 = 2*m. Is m prime? False Suppose 3*b + 105 = 3738. Is b prime? False Suppose -38 + 509 = 3*q. Is (q/3)/(1/3) a composite number? False Suppose -v = 5*x - 6, -6*x + 3*x - 5*v - 14 = 0. Let q(d) = d**2 ...
{ "pile_set_name": "DM Mathematics" }
is divided by 45? 10 Calculate the remainder when 24272 is divided by 11. 6 What is the remainder when 1029 is divided by 117? 93 Calculate the remainder when 101067 is divided by 20212. 7 Calculate the remainder when 669776 is divided by 122. 118 What is the remainder when 2157 is divided by 136? 117 What is the remai...
{ "pile_set_name": "DM Mathematics" }
) Let n = 16375 - 114581/7. Factor 8*g**2 + 8/7 + 16/7*g**4 - n*g**3 - 2/7*g**5 - 34/7*g. -2*(g - 4)*(g - 1)**4/7 Let o(k) = 330*k**2 + 1590*k + 2. Let t(g) = -g**3 + 887*g**2 + 4770*g + 7. Let x(s) = 7*o(s) - 2*t(s). Factor x(p). 2*p*(p + 3)*(p + 265) Let f(b) be the first derivative of 1/12*b**3 - 5/4*b**2 - 65 + 25/...
{ "pile_set_name": "DM Mathematics" }
2*u in the form l + k*u + w*u**2 and give l. 63 Rearrange 481 - 481 + i + 209*i to the form c + j*i and give j. 210 Rearrange -343*t - 64*t - 338*t + 55*t to v + w*t and give w. -690 Rearrange (-t - 2*t + 0*t)*(-176 + 478 - 102) to the form c*t + v and give c. -600 Rearrange (-11*y + 21*y - 17*y)*(2*y**2 - 2*y**2 - 2*...
{ "pile_set_name": "DM Mathematics" }
Give prob of sequence qd. 4/21 Three letters picked without replacement from {a: 2, q: 1, n: 8, s: 3, u: 2, w: 1}. What is prob of sequence sus? 1/340 Calculate prob of sequence vkk when three letters picked without replacement from wmpkmwksv. 1/252 Calculate prob of sequence vcvs when four letters picked without repl...
{ "pile_set_name": "DM Mathematics" }
term of 3863, 7910, 12143, 16562, 21167? 93*l**2 + 3768*l + 2 What is the v'th term of -8180, -32685, -73528, -130709, -204228, -294085? -8169*v**2 + 2*v - 13 What is the t'th term of -40370, -40367, -40364? 3*t - 40373 What is the q'th term of -430, -850, -1282, -1732, -2206, -2710? -q**3 - 413*q - 16 What is the k'th...
{ "pile_set_name": "DM Mathematics" }
: 4, z: 3, i: 1}. Give prob of sequence zi. 3/56 What is prob of sequence nn when two letters picked without replacement from {r: 1, n: 2}? 1/3 What is prob of sequence pyp when three letters picked without replacement from {q: 3, y: 6, p: 6}? 6/91 What is prob of sequence fmme when four letters picked without replacem...
{ "pile_set_name": "DM Mathematics" }
uppose 4*j = 5*h + 19, 12*h - 16*h = j + 32. Let o(z) = 2*z - 17. Determine h*o(l) - 3*y(l). l + 20 Let d(y) = -9680*y**2 - 480*y + 480. Let f(s) = 3*s - 3. Determine -d(t) - 160*f(t). 9680*t**2 Let v(q) = 180*q + 903. Let w be v(-5). Let n(d) = d**2 + d + 1. Let b(i) = 4*i**2 + i + 10. Calculate w*n(g) - b(g). -g**2 +...
{ "pile_set_name": "DM Mathematics" }
7) + 4? -5 What is the value of 1 + (-2 - (3 - 1 - 0))? -3 Calculate (-3 + -3 - -8) + -2. 0 What is (-7 - (5 + -3)) + 6? -3 Evaluate (-5 - -9) + -1 + 2. 5 What is -2 - (-2 + (8 - 8) - 10)? 10 What is the value of -5 - (-4 - -7 - 7)? -1 Evaluate (2 - -11) + -28 + 7. -8 Calculate (-1 - -8) + 2 + -1 + 2. 10 What is 1 + (...
{ "pile_set_name": "DM Mathematics" }
s of 1053200673. 3, 7, 16717471 What are the prime factors of 44851951? 19, 29, 81401 What are the prime factors of 7520392? 2, 11, 17, 457 What are the prime factors of 524946776? 2, 229, 286543 List the prime factors of 109515272. 2, 199, 68791 List the prime factors of 446077947. 3, 7, 3169, 6703 List the prime fact...
{ "pile_set_name": "DM Mathematics" }
rt 268.0619ml to litres. 0.2680619 What is 1/5 of a kilometer in centimeters? 20000 How many microseconds are there in 81.86571 milliseconds? 81865.71 Convert 263.27655 months to centuries. 0.219397125 What is 92.94524 kilometers in centimeters? 9294524 How many nanometers are there in 12737.42 meters? 12737420000000 C...
{ "pile_set_name": "DM Mathematics" }
e 9*j + m = 10*j + 92, -10*m + 5*m + 460 = 6*j for j. 0 Solve -3*c + 45048 - 45052 = -w, -2*w = -7*c - 8 for w. 4 Solve 22*l = -36*g + 27*l + 163, -9*l + 10*l + 47 = 0 for g. -2 Solve 1314 = 3*b + 6*c + 1335, -5*c - 19 = b for b. 1 Solve -3*i + 2*h + 2 = 2*i, -189186*h = 2*i - 189190*h - 4 for i. 0 Solve -o = -4*s + 21...
{ "pile_set_name": "DM Mathematics" }
4. 7632 Find the common denominator of 62/45 and 91/90. 90 What is the common denominator of -93/1298 and -31/50? 32450 Calculate the smallest common multiple of 1491 and 213. 1491 Calculate the lowest common multiple of 184 and 16. 368 What is the lowest common multiple of 4 and 35? 140 What is the lowest common multi...
{ "pile_set_name": "DM Mathematics" }
when three letters picked without replacement from xhhppiphxxippip? 3/455 Four letters picked without replacement from ezhhmhzzhzzlhzehhehe. What is prob of sequence zemh? 8/4845 What is prob of sequence ott when three letters picked without replacement from bbobottt? 1/28 Three letters picked without replacement from ...
{ "pile_set_name": "DM Mathematics" }
l Suppose -8 = 2*k, 4*g + 4*k - 2*k + 24 = 0. Let w(s) = -2*s**3 - 2*s + 2. Let r be w(g). Which is bigger: r or 0? r Let v = -1020.8 - -1019.73. Which is smaller: 54 or v? v Suppose 18 = -516*d + 522*d. Suppose 3*w - 2*g - 40 = 0, -w + 3*g = -d*w + 18. Which is greater: w or 5? w Let r = 999/4270 + -39/122. Which is s...
{ "pile_set_name": "DM Mathematics" }
7 PM? 4:44 PM What is 310 minutes before 3:41 PM? 10:31 AM What is 148 minutes after 6:35 PM? 9:03 PM How many minutes are there between 1:58 PM and 2:34 PM? 36 How many minutes are there between 7:55 AM and 3:45 PM? 470 How many minutes are there between 12:03 PM and 9:22 PM? 559 What is 126 minutes after 6:00 PM? 8:0...
{ "pile_set_name": "DM Mathematics" }
= x*t(r) + 3*a(r). Determine h(-2). 10 Let x(f) = -f + 1. Let r be x(-4). Suppose -3*g - r = 10. Let o(v) = v**3 + 5*v**2 + 6. Determine o(g). 6 Let p(y) be the first derivative of -2*y**2 - 3*y + 1. Let o = -8 - -10. Suppose -5*d = 20, -h + 0*d - o*d - 10 = 0. Give p(h). 5 Let d(c) = -6*c**3 + 2*c**2 - 4*c + 4. Let n(...
{ "pile_set_name": "DM Mathematics" }
0.06 Let n(f) = 2*f**3 + 2*f**2. Let k be n(-1). Let a = 43 + -41. What is the nearest to a in -3, k, -0.2? k Let x = -78.9 + 79. Let v = -5.07 - -0.07. Which is the closest to x? (a) v (b) -2/7 (c) -1 b Let x = 7/2 - 6. Let w = x - -1. Which is the closest to -1? (a) w (b) 1 (c) 1/4 a Let n = 11.9 - -14.1. Let ...
{ "pile_set_name": "DM Mathematics" }
rt(171) + 2)) - sqrt(171)))**2 + ((-1 + sqrt(171) + 0)**2 - sqrt(171)) + sqrt(171) + 3 + sqrt(171) + -1 + sqrt(171) + 1. -18*sqrt(19) + 355 Simplify 1 + ((2*((sqrt(190) + sqrt(190) + sqrt(190)*-1)*3 - -2*(sqrt(190)*1 + sqrt(190))))/(sqrt(360)*2 + 4*sqrt(490)))**2. 1331/400 Simplify -1*(-5*(6*sqrt(5)*2 + ((sqrt(120)/sqr...
{ "pile_set_name": "DM Mathematics" }
tors of 4171591? 4171591 What are the prime factors of 501302? 2, 47, 5333 What are the prime factors of 1684991? 7, 11, 79, 277 What are the prime factors of 755010? 2, 3, 5, 8389 List the prime factors of 2238925. 5, 13, 83 What are the prime factors of 151655? 5, 7, 619 List the prime factors of 9446608. 2, 59, 1000...
{ "pile_set_name": "DM Mathematics" }
is the v'th term of -1033, -1032, -1031, -1030, -1029? v - 1034 What is the y'th term of -763, -777, -791, -805, -819? -14*y - 749 What is the z'th term of -2920, -5837, -8754, -11671? -2917*z - 3 What is the x'th term of 17, 89, 209, 377? 24*x**2 - 7 What is the d'th term of 4114, 8223, 12332, 16441, 20550, 24659? 41...
{ "pile_set_name": "DM Mathematics" }
384*r + 322494. Determine m(-233). 22 Let j(q) = -q**3 - 2*q**2 - 149*q - 860. Determine j(-6). 178 Let x(h) = -9892*h - 5846162. Give x(-591). 10 Let x(m) = -405*m**2 + 84717*m - 15071. What is x(209)? -23 Let r(m) = 13*m**2 + 120*m - 974. Determine r(12). 2338 Let b(z) = -4*z**3 - 43*z**2 + 189*z - 120. What is b(3)?...
{ "pile_set_name": "DM Mathematics" }
8*w**2. Let h(y) be the first derivative of x(y). Factor h(a). 2*a**2*(a - 1)*(4*a + 1)**2/11 Let z be (-4)/(-26) + (-124740)/(-10192). Let w = -49/4 + z. Factor -1/7*s + 2/7*s**3 + 0*s**2 + 0 - w*s**5 + 0*s**4. -s*(s - 1)**2*(s + 1)**2/7 Let v(g) be the first derivative of g**3/3 + 30*g**2 - 347. Solve v(c) = 0. -60, ...
{ "pile_set_name": "DM Mathematics" }
= q*l - 4 for l. 2 Suppose 14 = 3*m - d, -3*d - 3 = 3. Let w(k) = k. Let l(q) = q - 6. Let v(n) = l(n) + w(n). Let h be v(m). Solve -g + 1 = -h for g. 3 Let n(x) = x**3 + 10*x**2 - x - 10. Let h be n(-10). Suppose 0 = -h*o + 3*o. Solve o*k = 3*k for k. 0 Let y(a) = a**2 + 3*a - 7. Let d be y(-5). Suppose d*z + 11 = b, ...
{ "pile_set_name": "DM Mathematics" }
t z be f(17). What is the nearest to 0.1 in 2, z, 2/7, 0.201? z Let s(v) = v**2 - 16*v + 6. Let x be s(16). Suppose -4*j + x = -2. Let k = -0.6 - -1. Which is the closest to -2? (a) k (b) j (c) -2/11 c Let z = 9.32 - 9.3. Which is the closest to 0.1? (a) 5 (b) z (c) 2/7 (d) 1 b Let x = -1/203 + -199/812. Which i...
{ "pile_set_name": "DM Mathematics" }
4*z - 129. What is the greatest common factor of u and 10? 10 Let c(r) = r**3 + 3*r**2 - 3*r - 3. Let x be c(-3). Let q be ((-32)/(-6))/4*x. What is the greatest common factor of 24 and q? 8 Suppose 0 = 5*m + 4*t - 3, m = 2*t - 0*t + 9. Suppose 0 = m*l + l - 8. What is the highest common factor of 16 and l? 2 Let z = -...
{ "pile_set_name": "DM Mathematics" }
are the prime factors of 5527? 5527 List the prime factors of 8906123. 8906123 What are the prime factors of 630667? 19, 1747 What are the prime factors of 3520378? 2, 659, 2671 What are the prime factors of 19221811? 7, 97, 28309 List the prime factors of 39626006. 2, 7, 29, 73, 191 List the prime factors of 469021. 7...
{ "pile_set_name": "DM Mathematics" }
g + 1. Let z be x(3). Let q = 4631 + -4636. What is the smallest value in z, 0.2, q? q Let y = -27800.7 - -27801. Let w be (9/27)/((-1)/(-9)). Which is the second biggest value? (a) -2 (b) w (c) y c Suppose 3*i - 14 = 5*p, -7*p + 10*p + 22 = -5*i. Which is the third biggest value? (a) 18 (b) p (c) -1/2 (d) 1.1 c...
{ "pile_set_name": "DM Mathematics" }
-5*i = 5*f + 18 - 8, l = i - 3. Calculate v(f). 8 Let r(m) = -m**3 - 6*m**2 - 6*m + 6. Let w(z) = -z**2 - 6*z - 5. Let t be w(-6). Determine r(t). 11 Suppose -47 = -5*c - 5*d + 2*d, 5*c = 3*d + 53. Let m(b) = b**2 - 9*b - 6. Give m(c). 4 Let r(m) be the second derivative of m**4/2 + m**3/6 + m. Let p be 2 + -8 - -3 - -...
{ "pile_set_name": "DM Mathematics" }
t the prime factors of 15527. 15527 What are the prime factors of 48930? 2, 3, 5, 7, 233 What are the prime factors of 2938? 2, 13, 113 What are the prime factors of 12757? 12757 List the prime factors of 384. 2, 3 What are the prime factors of 61122? 2, 3, 61, 167 List the prime factors of 33319. 11, 13, 233 List the ...
{ "pile_set_name": "DM Mathematics" }
. Let v = -2 - d. Calculate the lowest common multiple of ((-10)/3)/(3/(-9)) and v. 10 Suppose -2*m = 3*m + 21045. Let r = m - -50425/12. What is the common denominator of 2 - (-1 - (-339)/(-18)) and r? 12 Suppose 0 = 2*q - 2*t + t - 3, -5*t = q - 18. What is the least common multiple of 36 and q? 36 What is the common...
{ "pile_set_name": "DM Mathematics" }
ided by 162. 158 What is the remainder when 416 is divided by 21? 17 What is the remainder when 1584 is divided by 92? 20 Calculate the remainder when 205 is divided by 26. 23 Calculate the remainder when 24879 is divided by 16. 15 Calculate the remainder when 198 is divided by 29. 24 What is the remainder when 1899 is...
{ "pile_set_name": "DM Mathematics" }
t(2)) - sqrt(11))) + -1)**2. 11/9 Simplify (-4 + (((sqrt(4114) - 3*(-1*sqrt(4114) + sqrt(4114))) + sqrt(4114) + sqrt(4114))*-6)/((sqrt(288) - sqrt(288)*-3 - sqrt(288)) + sqrt(288)))*1. -33*sqrt(17)/8 - 4 Simplify (-6*5*(sqrt(6000) + sqrt(6000) + sqrt(6000) + (sqrt(6000) - (sqrt(6000)*6 - sqrt(6000)) - sqrt(6000))))/(sq...
{ "pile_set_name": "DM Mathematics" }
d w. 14 Let h be 2 + (3 - (-1 - -12)). Calculate the common denominator of (39/(-12))/(h/(-8)) and 35/4. 12 Let y = -89 - -49. Let u = y + 62. What is the least common multiple of u and 10? 110 Let o(s) = -s**2 - s + 6. Suppose -5*i = 5*h - 30, 0 = -2*h - i - 2*i + 13. Suppose 0 = h*f - f. What is the lowest common mul...
{ "pile_set_name": "DM Mathematics" }
of 1953 and 84? 21 What is the highest common divisor of 325 and 1235? 65 Calculate the greatest common factor of 195 and 312. 39 Calculate the highest common factor of 2316 and 3. 3 Calculate the greatest common divisor of 31709 and 148. 37 What is the greatest common divisor of 784 and 184? 8 What is the greatest com...
{ "pile_set_name": "DM Mathematics" }
2/i - -1069*3/j a multiple of 18? False Suppose -n = -2*z - 7782, 35493 - 4351 = 4*n - z. Is 17 a factor of n? True Let y = 18147 + 42444. Suppose 41*u + 16*u = y. Is 20 a factor of u? False Let v(k) = -k**2 + 10*k - 5. Let q be v(9). Suppose -3*c = -0*c + q*u - 1720, 0 = c - 2*u - 590. Is 8 a factor of c? False Let q...
{ "pile_set_name": "DM Mathematics" }
Let g = -432527/30 - n. What is the common denominator of -74/35 and g? 210 Suppose -13*n = -6*n - 7. Let k = -108959/15848 - -1/3962. What is the common denominator of 9/((-11340)/4417) + n/5 and k? 72 Let k = 11533 - 11335. What is the lowest common multiple of k and 128? 12672 Let z = 7927 + -1415. Let w = -208309/...
{ "pile_set_name": "DM Mathematics" }
ue Suppose 15 = 6*y - 3. Let u be (-4 - (-6 + y)) + -473. Is (35/(-10))/(3/u) prime? False Let u be 0 - -6 - (-75 + -32). Let q = u + 416. Is q a prime number? False Let c(o) = -38 - 3*o + o - 3*o + 11. Let d be c(-6). Suppose -d*i + 250 = -197. Is i a composite number? False Let d be (-6)/39 - (-8659)/91. Let k = d - ...
{ "pile_set_name": "DM Mathematics" }
1/5, -0.0711 Sort 3, 2/77, 1.12, 0.1 in ascending order. 2/77, 0.1, 1.12, 3 Put 0, -898, -1, 5 in ascending order. -898, -1, 0, 5 Sort 5, 0.2, 130, 0.3, 7.64 in decreasing order. 130, 7.64, 5, 0.3, 0.2 Sort -112791, -2, 7. -112791, -2, 7 Sort -5, -30, 10, -23 in increasing order. -30, -23, -5, 10 Put -4394, -2, 0.5, -9...
{ "pile_set_name": "DM Mathematics" }
digit of 813522? 1 What is the thousands digit of 157193? 7 What is the tens digit of 359461? 6 What is the ten thousands digit of 3453430? 5 What is the hundred thousands digit of 37638779? 6 What is the units digit of 17822866? 6 What is the thousands digit of 325676? 5 What is the thousands digit of 894796? 4 What i...
{ "pile_set_name": "DM Mathematics" }
) be the first derivative of -5*l**3/3 - 2*l**2 - 4*l - 10. Let a be u(-3). Let j = -23 - a. Is 7 a factor of j? True Suppose 4*y + 4*x - 92 = 4, 3*y - 44 = 4*x. Does 20 divide y? True Let d(z) be the first derivative of -z**7/840 + z**6/40 + z**5/10 + z**4/24 - 2*z**3/3 - 3. Let o(r) be the third derivative of d(r). I...
{ "pile_set_name": "DM Mathematics" }
hat is five sixths of a hour in minutes? 50 What is one fifth of a litre in millilitres? 200 Convert 0.8371606 years to months. 10.0459272 How many kilograms are there in 8982.028ng? 0.000000008982028 How many millilitres are there in nine tenths of a litre? 900 How many milligrams are there in 3/40 of a gram? 75 What ...
{ "pile_set_name": "DM Mathematics" }
k) = 14*k - 1. Is h(r) a multiple of 18? False Suppose -36*l + 10*l = -14274. Is 61 a factor of l? True Let j(x) = x**2 - 4*x + 4. Let t be j(2). Suppose t*c + 6*c - 372 = 0. Is c a multiple of 7? False Suppose -18*i = -22*i. Suppose 5*o + 19 - 59 = i. Is 4 a factor of o? True Let f = 539 + -284. Is f even? False Let y...
{ "pile_set_name": "DM Mathematics" }
8. Let v be x(-7). Let w = v + -3. What is the units digit of w? 3 Suppose -6 + 1 = 5*g. Let n(r) = r + 8. Let m be n(8). Let q = m + g. What is the units digit of q? 5 Let g = -42 + 85. Let s = g + -7. Suppose -2*o - s = -5*c, -2*c + 4*c - 26 = -5*o. What is the units digit of c? 8 Suppose 149 = 5*o + p + 12, -99 = -3...
{ "pile_set_name": "DM Mathematics" }