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-1, -1/4, 3? 3 What is the second biggest value in 1/43459, 1/2, -0.02, 0.2, -7? 0.2 Which is the second biggest value? (a) -1/72 (b) -20 (c) 58 (d) 3 d Which is the fourth smallest value? (a) -946 (b) 0 (c) -2 (d) -3 (e) 52 (f) -9 c Which is the fourth smallest value? (a) 21 (b) -3459 (c) -0.1 (d) 70 d W...
{ "pile_set_name": "DM Mathematics" }
2 - 1. Let y be n(-1). Factor 19*t - 12 + y*t**2 - 5*t**2 - t**2 - 7*t. -3*(t - 2)**2 Let q(v) be the second derivative of v**4/20 + 17*v**3/5 + 279*v**2/10 + 107*v - 1. Factor q(f). 3*(f + 3)*(f + 31)/5 Suppose 15*g**2 + 65/4*g + 5/4 = 0. What is g? -1, -1/12 Factor -118 + 8*h**2 + 13*h**2 + 245*h - 16*h**2 - 216 + 84...
{ "pile_set_name": "DM Mathematics" }
-r**2 - 6*r - 2. Let u = 4 - 4. Suppose -5*n + 27 = -4*q, u = -2*q + 2*n + 4 - 16. Is i(q) a composite number? False Let d = -264 - -449. Is d a prime number? False Suppose z - 5386 - 277 = 0. Is z a composite number? True Let y(w) = -w**3 - w**2 - 2*w - 2. Let q be y(-2). Let a = q - -15. Is a a composite number? Tru...
{ "pile_set_name": "DM Mathematics" }
1947360 is divided by 303. 282 Calculate the remainder when 2589266 is divided by 6408. 434 What is the remainder when 1024432 is divided by 5000? 4432 Calculate the remainder when 14987 is divided by 4225. 2312 What is the remainder when 3929937 is divided by 629? 574 What is the remainder when 4261650 is divided by 3...
{ "pile_set_name": "DM Mathematics" }
*m*t - 35992*t - 403 wrt m. 150472*m*t + 26*m - 11*t Find the first derivative of 90645476*w**4 - 90742179. 362581904*w**3 Differentiate 2*l**2*q**3*w + 2735066*l**2*q**2 - 5074*l**2*w - 2*l*q**3 - 26*w wrt w. 2*l**2*q**3 - 5074*l**2 - 26 What is the second derivative of -365735*u**5 + 596*u**2 - 155399363*u + 3? -7314...
{ "pile_set_name": "DM Mathematics" }
33/124) Simplify (d*d*d**(-30)/d)/(d*d*d**(2/7)*d) assuming d is positive. d**(-226/7) Simplify (w**(-3)/w)**5 assuming w is positive. w**(-20) Simplify (c/(c**(-6)/c))**(-45) assuming c is positive. c**(-360) Simplify (o**(2/7))**29*(o**0/o)**(25/6) assuming o is positive. o**(173/42) Simplify (x**(22/7)/x*x)/(x/(x/(x...
{ "pile_set_name": "DM Mathematics" }
r o? o Let o(t) = 253*t - 9343. Let n be o(37). Is n > -792? True Let x = 7301.8 - 7301.8. Let f = -118/3 + 917/24. Is f >= x? False Let l(g) = -103*g - 9992. Let c be l(-97). Is c less than -640? False Let a(k) = 2*k**2 + 6*k - 48. Let s be a(17). Suppose -s = -26*x + 1500. Is x less than or equal to 82? True Let j be...
{ "pile_set_name": "DM Mathematics" }
7489/6 8 divided by 1679998 4/839999 409628 divided by 102407 4 Calculate -7454454 divided by 7454454. -1 Calculate 12881689 divided by 12. 12881689/12 What is 28 divided by 102045? 28/102045 77908512 divided by -5648 -13794 What is -365299415 divided by -1235? 295789 -81577183 divided by -2 81577183/2 What is -9406082...
{ "pile_set_name": "DM Mathematics" }
duct of 0.0558668 and -1.7. -0.09497356 319 * -28458 -9078102 -111875.713 * 0.1 -11187.5713 Calculate 309445491*-0.1. -30944549.1 Product of 0.0674 and -8602.4. -579.80176 -0.3 * 156085 -46825.5 What is the product of -149.827 and 88.95? -13327.11165 Multiply 1927193 and -45. -86723685 Calculate -9920056*0.24. -2380813...
{ "pile_set_name": "DM Mathematics" }
4 + 3 Simplify -4*(sqrt(330)/(sqrt(6)*-1))/sqrt(5)*-4. -16*sqrt(11) Simplify -3 + (-5*sqrt(88)*-2 - sqrt(88) - sqrt(88))/(-1*sqrt(32)) + 1. -4*sqrt(11) - 2 Simplify (3 + (-1*(0 + sqrt(275) - sqrt(275) - sqrt(275)) - sqrt(275)) + sqrt(275) - (5 + sqrt(275)*2 + 1))**2. 30*sqrt(11) + 284 Simplify -3*((sqrt(126)*2)/sqrt(6)...
{ "pile_set_name": "DM Mathematics" }
p) + u*y(p). -p**3 + 2*p + 1 Let w(p) = -8*p**3 + 14*p**2 - 30*p - 2. Let m(i) = 7*i**3 - 12*i**2 + 29*i + 2. Calculate 7*m(x) + 6*w(x). x**3 + 23*x + 2 Let f(w) = -w**2 - 2*w - 3. Let n = -79 - -47. Let y = n - -34. Let o(c) = 4*c**2 + 9*c + 13. Let t = 6 - -3. What is t*f(u) + y*o(u)? -u**2 - 1 Let i(h) = h**2 + 623....
{ "pile_set_name": "DM Mathematics" }
greatest common divisor of o and 68. 4 Let q be -1 + 5 + (0 - -2). Suppose 2*z = -2 + q. Suppose 114 = 3*d + z*m, -3*d + m - 2*m = -114. What is the highest common divisor of d and 57? 19 Suppose -u + 7*p = 4*p - 106, -4*p = u - 141. Let x = 5 + 6. What is the greatest common factor of x and u? 11 Suppose -341*q + 30 ...
{ "pile_set_name": "DM Mathematics" }
-7)/42*3? 7 Let b = -83 - -86. What is the tens digit of 28*-1*(-10 + b)? 9 Suppose -9*t + 14958 = 3816. What is the tens digit of t? 3 What is the hundreds digit of -4 + 19 + -10 + 577? 5 Suppose 1 + 0 = -k - 5*h, -12 = 4*h. Let t = k + -17. What is the units digit of -2 - t - (-23)/1? 4 Suppose -5*t + 4 = 19. Let o =...
{ "pile_set_name": "DM Mathematics" }
2/11? 2/11 Let m = -19781 - -19779. Let h = 7.35 - 9.3. Let q = 0.05 - h. What is the nearest to m in q, -2/5, -1/5? -2/5 Let p = -0.36 + 0.86. Suppose -5*g + 8*g = 4*s + 7, 4*g = -3*s + 1. What is the closest to s in p, -4, 0.3? 0.3 Let h = 303 + -307. Let m = 15 + -9. Let y = 5 - m. Which is the closest to y? (a) 0...
{ "pile_set_name": "DM Mathematics" }
of 1/3, to the nearest integer? 161 What is 5233768947 to the power of 1/3, to the nearest integer? 1736 What is 1022887650 to the power of 1/3, to the nearest integer? 1008 What is the tenth root of 1246691416 to the nearest integer? 8 What is 427112913 to the power of 1/2, to the nearest integer? 20667 What is 226968...
{ "pile_set_name": "DM Mathematics" }
8*l**2. Calculate z(o(p)). 25668*p**2 Let g(z) = 13*z + 2. Let i(k) = 4 + 2*k**2 - 6*k**2 - 4. Calculate g(i(y)). -52*y**2 + 2 Suppose 7 = 3*v + 1. Let a(u) = -u**v - 7*u + 7*u + u. Let j(n) = -2*n**2 + 3*n. Let z(y) = -3*a(y) + j(y). Let f(l) = -2*l**2. Give f(z(s)). -2*s**4 Let k(c) be the third derivative of -13*c**...
{ "pile_set_name": "DM Mathematics" }
nt from ppjddjcdpddgpc? 1/1001 Calculate prob of sequence qdyd when four letters picked without replacement from yqdqqyyyd. 1/126 Three letters picked without replacement from {a: 1, p: 1, x: 1, n: 1, z: 1}. Give prob of sequence pzn. 1/60 Calculate prob of sequence dq when two letters picked without replacement from {...
{ "pile_set_name": "DM Mathematics" }
the remainder when 80 is divided by 11. 3 Calculate the remainder when 401 is divided by 375. 26 What is the remainder when 499 is divided by 107? 71 Calculate the remainder when 4067 is divided by 21. 14 What is the remainder when 698 is divided by 86? 10 What is the remainder when 2252 is divided by 23? 21 What is t...
{ "pile_set_name": "DM Mathematics" }
tters picked without replacement from {y: 4, a: 3, o: 4, c: 1, s: 6, r: 2}? 1/1140 Calculate prob of picking 2 x when two letters picked without replacement from xxe. 1/3 Two letters picked without replacement from {e: 2, h: 4, y: 1}. Give prob of picking 1 h and 1 y. 4/21 Two letters picked without replacement from ff...
{ "pile_set_name": "DM Mathematics" }
of 488418? 8 What is the hundred thousands digit of 106379? 1 What is the ten thousands digit of 413324? 1 What is the ten thousands digit of 2205085? 0 What is the units digit of 7232831? 1 What is the units digit of 681537? 7 What is the thousands digit of 9037996? 7 What is the thousands digit of 521386? 1 What is t...
{ "pile_set_name": "DM Mathematics" }
se -3*c + l = -41. What is the least common multiple of 8 and c? 16 Let d = 113 - 104. What is the smallest common multiple of d and 12? 36 Let v be -4 + 47*(-442)/(-5194). Let z = v + 355795/15582. What is the common denominator of z and -75/148? 444 Let n(y) = -y**3 + 15*y**2 - 12*y - 25. Let v = -2 - -32. Calculate ...
{ "pile_set_name": "DM Mathematics" }
10*o + 6*o + o**4 - 1 + 0*o - o**3 in the form f*o**4 + c*o**3 + d*o**2 + p*o + q and give c. -1 Express 446*f - 40*f**2 - 446*f as i + p*f**2 + b*f and give b. 0 Express (-2 + 2 + 2)*((o + 3 - 3)*(-3*o + 0*o + o) + (2 + 7 - 5)*(0*o**2 + 2*o**2 - 3*o**2)) in the form v*o + n*o**2 + m and give m. 0 Rearrange 6*b - 20*b*...
{ "pile_set_name": "DM Mathematics" }
- 4*v. What is the smallest common multiple of s and 10? 10 Suppose 21*p = 14*p + 84. What is the lowest common multiple of p and 12? 12 Find the common denominator of (-1)/6*1608/132 and 25/3. 33 Suppose 0 = -c + 8 - 4. Let r = 11 - 8. Suppose 0*d + r*d = 5*h - 1, 29 = 3*d + h. Calculate the smallest common multiple o...
{ "pile_set_name": "DM Mathematics" }
6*g + w*g + 42*g**2 + 8*g**3 - 46*g**2 + 2. Let v(q) = -q**3 + q. Calculate 6*v(u) + y(u). 2*u**3 - 4*u**2 + 2 Let u(q) be the second derivative of -q**3/6 - q**2/2 - 44*q + 1. Let w(b) = 5*b + 3. Determine 6*u(d) + w(d). -d - 3 Let t(r) = -2*r**2 - 4*r + 5. Let u(d) = 29*d**2 - 7*d + 9 + 24*d**2 - 56*d**2. What is -7*...
{ "pile_set_name": "DM Mathematics" }
p + 6. Let b(t) = 3*t**2 - 28*t + 4. Give 3*b(x) - 2*f(x). 3*x**2 - 26*x Let l(a) = 2*a**2 - 4*a. Let u(r) = -8*r**2 + 10*r + 27. What is -3*l(f) - u(f)? 2*f**2 + 2*f - 27 Let z(s) = -s**3 - 2*s**2 - s - 1. Let i(t) = 4*t**3 + 12*t**2 + 6*t + 8. Calculate -5*i(h) - 30*z(h). 10*h**3 - 10 Let y(c) = 2*c**2 + 3. Let a(o) ...
{ "pile_set_name": "DM Mathematics" }
34 What is the greatest common factor of 63693555 and 100605? 5295 Calculate the highest common divisor of 1424 and 1127363. 89 What is the highest common divisor of 28007023 and 11? 11 Calculate the greatest common factor of 11392200 and 720. 360 Calculate the greatest common factor of 18841060 and 119770. 4130 Calcul...
{ "pile_set_name": "DM Mathematics" }
641 = 3*b, 5*b + 751 = 2*g. What is the remainder when g is divided by 20? 18 Let n be (-2 + (-2)/(-2))*-43. Let q = 21 + n. What is the remainder when q is divided by 14? 8 Suppose 53*x - 56*x - 15 = 0, x = a - 26. What is the remainder when 517 is divided by a? 13 Let z = -3365 + 5131. Calculate the remainder when z...
{ "pile_set_name": "DM Mathematics" }
Let q = l + -18. Calculate the greatest common divisor of 253 and q. 23 Suppose 0 = 4*n - 2*h - 364, 5*n - 122 = h + 333. Calculate the greatest common divisor of 28 and n. 7 Let m be ((-1)/((-40)/450))/((-6)/(-32)). Calculate the greatest common divisor of 84 and m. 12 Let p be ((-3)/(-9))/((-13)/(-47619)). Calculate ...
{ "pile_set_name": "DM Mathematics" }
at is the hundreds digit of 4749? 7 What is the hundreds digit of 1684? 6 What is the tens digit of 12405? 0 What is the ten thousands digit of 22540? 2 What is the tens digit of 90069? 6 What is the units digit of 816? 6 What is the tens digit of 66037? 3 What is the tens digit of 13824? 2 What is the hundreds digit o...
{ "pile_set_name": "DM Mathematics" }
and 1793732. -20627918 Multiply -0.3 and -306980709. 92094212.7 4 times -382750.92 -1531003.68 185 * 32068.2 5932617 -0.3163 * -2305 729.0715 -0.069 * 45732.2 -3155.5218 -88.7 times -2.515 223.0805 Work out 22040742 * -2. -44081484 Multiply -5559.02 and 10.1. -56146.102 Product of -8.7871678 and -0.4. 3.51486712 -2.89 ...
{ "pile_set_name": "DM Mathematics" }
less than 13.69596? -819.30404 Work out -333.76624 + 1. -332.76624 Add together 118 and -1292533. -1292415 What is 170198 minus -391? 170589 Calculate 346260 - -460. 346720 What is -0.4 take away 385045043? -385045043.4 Add together -749 and -20097. -20846 Subtract -0.99 from -1138.5. -1137.51 Sum 6 and 275043383. 275...
{ "pile_set_name": "DM Mathematics" }
ch is greater: 0.19 or q? 0.19 Let c be 2/11 - 560/(-308). Suppose s = 3*s. Suppose t + 5*l = 2*l + 9, s = 4*l - 12. Which is greater: c or t? c Let o = 2683/108 + 38/27. Is 25 > o? False Let r = -1320 - -1299. Are -2 and r equal? False Let r be ((-57)/(-15) + -1)*10. Suppose 5*q - r = 19*q. Is -7/12 <= q? False Suppos...
{ "pile_set_name": "DM Mathematics" }
d**3 - 4*d**2 + 4*d**2)*(10 + 4 + 2) + 0*d**3 - 4*d**2 + 3*d**2 + 2*d**3 + 3*d**3 + 2*d**3 - 3*d**3. -28*d**3 - d**2 Expand (-3*u**3 + 0*u**3 + u**3)*(5*u - 2*u - 5*u + (-4 + 3 - 1)*(u + 0*u + 0*u) + 0*u + 5*u - 2*u + (0 - 1 + 2)*(-2 - u + 2)). 4*u**4 Expand 6*q - 3*q - 2*q + (2 + 3 - 3)*(5*q + 0*q - 2*q). 7*q Expand (...
{ "pile_set_name": "DM Mathematics" }
ng order. q, 4, x Suppose 4*u - 10 - 10 = 0. Sort u, 0, 4 in increasing order. 0, 4, u Suppose z = -2*z + 3, 2*r - 19 = -3*z. Let y be (1 - -3) + r/(-4). Sort y, 5, 4 in decreasing order. 5, 4, y Let i = 0.5 + -0.8. Let f = -12 - -7. Sort f, -2/19, i in ascending order. f, i, -2/19 Let x = -0.17 - -0.07. Sort 3, 0.3, x...
{ "pile_set_name": "DM Mathematics" }
+ 5, 0 = b + 4*i + 17. What is the biggest value in b, m, -0.043? b Let m = -6 - -4. Let n be (-3762)/4598*(-1)/(-9). Which is the third smallest value? (a) 0.2 (b) m (c) n (d) -0.2 c Suppose -10*l - 4*l + 70 = 0. Suppose 5*b = -z - 14, -l*b - 9 = -z + 17. Let m = -1 - 1. What is the smallest value in m, -1, z? m L...
{ "pile_set_name": "DM Mathematics" }
llest value? (a) 14 (b) -4 (c) 0.124 (d) -1/3 d Which is the second smallest value? (a) -11 (b) 5/9 (c) -1 c What is the fourth biggest value in 0, -11, -0.02, 0.2? -11 What is the smallest value in -7, 2/21, 1/2, 16? -7 Which is the second smallest value? (a) -5 (b) 3 (c) 1/19 (d) 0.01 (e) 1 d What is the ...
{ "pile_set_name": "DM Mathematics" }
. -1 Solve 8*q + 525 - 517 = 0 for q. -1 Solve 0 = 29*f - 25*f - 12 for f. 3 Solve 0 = -581*r + 582*r - 4 for r. 4 Solve -18*j - 14*j - 192 = 0 for j. -6 Solve -10*v = 5*v + 30 for v. -2 Solve 14 = -128*t + 126*t for t. -7 Solve -121 = 34*f - 359 for f. 7 Solve 133 - 39 = -47*x for x. -2 Solve 4*h = -4 + 24 for h. 5 So...
{ "pile_set_name": "DM Mathematics" }
-94*z**3 + z**2 - 8*z + 13. Determine n(2). -751 Let c(u) = u**3 - 21*u**2 + 17*u + 75. Give c(20). 15 Let o(z) = -10*z**2 - 11*z - 6. Calculate o(4). -210 Let a(u) = -u**2 + 35*u - 265. Calculate a(11). -1 Let k(c) = 2*c**3 + 3*c**2 + 11*c. Calculate k(-5). -230 Let h(w) = -58*w + 288. Determine h(5). -2 Let x(b) = -b...
{ "pile_set_name": "DM Mathematics" }
Let g(t) = -t**3 + 5*t**2 + 3*t + 2. Let w(i) = -3*i - 2. Let f be w(-5). Suppose 4*m - f - 7 = 0. Is g(m) a multiple of 10? False Suppose 51 = 4*o + 7. Let p = o - 4. Let d(g) = 2*g**2 - 8*g - 7. Does 14 divide d(p)? False Suppose -6*j + 82 = -2*j + 5*h, 0 = -2*j - h + 38. Let r = 25 - j. Is 7 a factor of r? True Sup...
{ "pile_set_name": "DM Mathematics" }
e terms in -5 - 33 - 22*o - 7. -22*o - 45 Collect the terms in -310*g**3 + 486*g**3 + 14*g**2 - 14*g**2. 176*g**3 Collect the terms in -12 - 12 + 4*b**2 + 9 + 54. 4*b**2 + 39 Collect the terms in 27*q + 20*q + 23*q + 24*q + 30*q - 120*q. 4*q Collect the terms in -1923*q - 1920*q - 1916*q + 5756*q. -3*q Collect the term...
{ "pile_set_name": "DM Mathematics" }
= -r**3 + 21. What is i(0)? 21 Let w(r) = -r**3 + 11*r**2 - 25*r + 5. Determine w(8). -3 Let n(d) = -d**3 - d**2 + 22. Calculate n(0). 22 Let v(o) = -o + 4. Calculate v(5). -1 Let t(m) = -6*m - 11. Determine t(-5). 19 Let x(z) = -z**2 + z + 3. Calculate x(0). 3 Let j(i) = -5*i + 10. What is j(4)? -10 Let t(d) = -d**3 ...
{ "pile_set_name": "DM Mathematics" }
)/11)/(-3) + 16/(-88). 27 Suppose -m - 48 = -2*m + j, 1 = -j. Calculate the remainder when m is divided by 7. 5 What is the remainder when (-496)/(-10) - (-6)/15 is divided by 87/5 + 12/(-30)? 16 Let g = 5 + -5. Suppose -4*c + m = -2*m - 7, c - m - 1 = g. Suppose -2*a = -4*t - 4, -2*a = -5*a + c*t + 6. What is the rema...
{ "pile_set_name": "DM Mathematics" }
217, -51086, -92085, -153246, -238601? -352182 What is the next term in -1850797, -1850790, -1850783, -1850776? -1850769 What is next in 4011113, 4011095, 4011065, 4011023? 4010969 What comes next: -3109, -3205, -3425, -3817, -4429, -5309? -6505 What is next in 48333, 48726, 49115, 49500? 49881 What comes next: -294, -...
{ "pile_set_name": "DM Mathematics" }
7. Suppose h(m) = 0. Calculate m. -14, 1/2, 2 Let v be -10 + (176/2)/8. Let i(f) be the first derivative of -28/5*f**5 + 20/3*f**3 + 18*f**2 - 9*f**4 + 8*f - v. Determine c so that i(c) = 0. -1, -2/7, 1 What is k in 270/11 - 2/11*k**4 - 216/11*k + 36/11*k**2 + 8/11*k**3 = 0? -5, 3 Let l be ((-36)/10 + 3)*(-350)/70. Fac...
{ "pile_set_name": "DM Mathematics" }
93*c**2*h*l - c**2*h + 284*c*l - 643*h*l - 2 wrt c. -863786*h*l - 2*h Find the third derivative of 265874*u**4 + 3*u**3 - 82006*u**2 - 2*u + 1. 6380976*u + 18 What is the second derivative of -816*i*z**5 - 9*i - 24*z**2 - 96*z + 3 wrt z? -16320*i*z**3 - 48 Differentiate -180*a**3*c + 9*a**3 - 33*a**2*c**2 + 2*a**2 + 11...
{ "pile_set_name": "DM Mathematics" }
*g. What is t(5)? -25 Let c(j) = j**3 + 11*j**2 + 12*j + 4. Let p be 76/(-2 - 0)*14/(-4). Suppose -p = 3*r + 56. Let g be (-176)/18 + 14/r. Calculate c(g). -16 Let a(v) = -11*v + 40. Let w be (-11 + (2 - -10))*5. What is a(w)? -15 Suppose -5*c + 0*c = -5*o - 40, -2*o - 21 - 3 = 0. Let n(m) = -3*m**2 + 19*m + 10. Let l(...
{ "pile_set_name": "DM Mathematics" }
a composite number? False Is 30735799 composite? False Is 46222655233 a prime number? True Is 40126393 composite? False Is 8134785607 prime? False Is 6141084783 prime? False Is 3901094747 prime? False Is 490137059 composite? False Is 27798530171 a composite number? True Is 936210007 a prime number? True Is 636088913 a...
{ "pile_set_name": "DM Mathematics" }
4 - -3b? 40 In base 14, what is 0 - 2dac? -2dac In base 8, what is -34 - 45? -101 In base 2, what is 100 - -1010010? 1010110 In base 7, what is 16 + -13? 3 In base 13, what is -15 - 138? -150 In base 9, what is 6274 + -2? 6272 In base 8, what is -22 - -60? 36 In base 13, what is 5 + -1443? -143b In base 2, what is -10...
{ "pile_set_name": "DM Mathematics" }
0 - 1 + 2)*(4*q - 3*q + 5*q). -14*q Expand (6*w - 11 + 11)*(2*w - 4*w**2 + 2*w**2 + 6*w**2). 24*w**3 + 12*w**2 Expand (-2 - d**3 + 2)*(d + 3*d - 3*d) + (-2*d**3 + 3*d**3 + 0*d**3)*(-4*d + 0*d + 3*d) - 41 + 5*d**4 + 41. 3*d**4 Expand (-h - 3 + 3)*(4*h**3 + 0*h**3 - 3*h**3 + (h**2 + 5*h**2 - 3*h**2)*(2*h - 2*h - h)). 2*h...
{ "pile_set_name": "DM Mathematics" }
= 1261.585 + -1290.1. Let v = 0.015 + l. Round v to the nearest integer. -29 Let i(c) = 6*c**2 + 2*c + 6. Let s be i(3). Let y be s/18 + (-4)/6. Round y to the nearest ten. 0 Let h = 9.4 + 6.3. Let d = h + -15.70127. Round d to four decimal places. -0.0013 Let i = -9.2614997 + 9.22013. Let r = i + 1.6414147. Let a = 1....
{ "pile_set_name": "DM Mathematics" }
*x + 54 Let u(q) = -75*q - 6. Let k(j) = -191*j - 11. Let p(t) = 2*k(t) - 5*u(t). Let s(a) = 0 + 11*a - 4 - 8. Give 8*p(g) + 5*s(g). -g + 4 Let b(k) = 2*k**2 - 764 + 769 + 0*k**2. Let q = 166 + -161. Let d(t) = -2*t**2 - t - 6. Give q*d(j) + 6*b(j). 2*j**2 - 5*j Let b(d) = d**2 - d. Let y(r) = 130*r**3 - 5*r**2 + 35*r*...
{ "pile_set_name": "DM Mathematics" }
the highest common factor of 5 and 695895. 5 Calculate the highest common divisor of 238 and 3621646. 238 Calculate the highest common divisor of 249447 and 11. 11 What is the greatest common factor of 35 and 1290? 5 Calculate the greatest common factor of 3570 and 56294. 14 Calculate the highest common factor of 13151...
{ "pile_set_name": "DM Mathematics" }
2)*(13 - 11). Let p be r(l). Let w = 4260.3 - 4261. Which is the smallest value? (a) w (b) -0.4 (c) p a Let q = -27105.1 + 27105. What is the third biggest value in q, 115/2, -5? -5 Let n = -3763/3 - -1254. Which is the second smallest value? (a) n (b) -6 (c) 11 a Let s = 522/83 + -11128/1743. Let n = -0.7 - 15.3...
{ "pile_set_name": "DM Mathematics" }
sing order. 198, 6, -5 Put 0.5, 1/5, 1, 0, 5 in descending order. 5, 1, 0.5, 1/5, 0 Sort 126, 4, -2 in decreasing order. 126, 4, -2 Sort 0, 5, -4, 4 in ascending order. -4, 0, 4, 5 Sort 0.5, 1/10, -714. -714, 1/10, 0.5 Sort 1, 27, 5, 0 in decreasing order. 27, 5, 1, 0 Put 2, -3/8, -2, -9/7, 4 in descending order. 4, 2,...
{ "pile_set_name": "DM Mathematics" }
and give n. -20 Express -44*c**2 - 7*c + 6 - 6 + 2*c in the form g + u*c + o*c**2 and give u. -5 Rearrange 277*w - 137*w - 132*w to m*w + v and give m. 8 Rearrange 233 - 233 - 210*i**3 - i + 3*i**2 to the form x*i + z + o*i**3 + c*i**2 and give x. -1 Rearrange 109 - 197*i + 107*i + 88*i + i - 1 + 1 + (i + 2*i - 4*i)*(0...
{ "pile_set_name": "DM Mathematics" }
what is 31 + -213133132? -213133101 In base 10, what is 4055 + 2219? 6274 In base 4, what is 203033 + -101220222? -101011123 In base 9, what is -7 - 5833003? -5833011 In base 7, what is -113641 + -551? -114522 In base 4, what is 11013211232 + 301? 11013212133 In base 16, what is 4a + -14a6d? -14a23 In base 14, what is...
{ "pile_set_name": "DM Mathematics" }
7, -351? -2*y**3 + y**2 + 7*y + 3 What is the z'th term of 17, 87, 199, 353, 549, 787, 1067? 21*z**2 + 7*z - 11 What is the t'th term of 63550, 63548, 63546? -2*t + 63552 What is the t'th term of -98, -99, -100, -101, -102, -103? -t - 97 What is the k'th term of -10, -13, -18, -25, -34, -45, -58? -k**2 - 9 What is the ...
{ "pile_set_name": "DM Mathematics" }
and c. 42 Let l be 2 + 0 + (-2)/2. Let d(b) = -b**3 - 3*b**2 - 2*b - 1. Let o be d(-3). Calculate the common denominator of -53/3 and (1/2 - l)*o. 6 Let u = -18 - -21. What is the lowest common multiple of 1 and u? 3 Calculate the common denominator of -47/24 and 88/96 - 0/1. 24 Let t = -22/19 + 59/133. Calculate the ...
{ "pile_set_name": "DM Mathematics" }
84/715 What is prob of picking 2 b when two letters picked without replacement from cytmbbybcb? 2/15 What is prob of picking 1 p and 1 n when two letters picked without replacement from {n: 1, p: 1, c: 1, l: 1, q: 1}? 1/10 Calculate prob of picking 1 z and 1 w when two letters picked without replacement from jzwz. 1/3 ...
{ "pile_set_name": "DM Mathematics" }
3*i + 2*c - y, -2 - 7 = b*i - 4*c for i. -3 Let y(o) be the third derivative of -o**6/120 + o**5/30 + 5*o**4/24 - o**3/2 - 4*o**2. Let w be y(3). Solve 0 = -2*p + z - 1, w*z - 4 = -z for p. 0 Let j be (28/16)/((-4)/(-16)). Let f(l) = l**2 + l - 9. Let o be f(-4). Let q(w) = -w**3 + w**2. Let b be q(0). Solve -4*d + j =...
{ "pile_set_name": "DM Mathematics" }
n 81*p - 12*p - 41*p - 30*p. -2*p Collect the terms in 5*s**2 - 5*s**2 + 198*s**3 - 96*s**3 - 100*s**3. 2*s**3 Collect the terms in 24*g - 150118*g**2 - 49*g + 25*g. -150118*g**2 Collect the terms in 238*c + 223*c + 242*c - 692*c. 11*c Collect the terms in -86*q + 43*q + 1290*q**3 + 43*q. 1290*q**3 Collect the terms in...
{ "pile_set_name": "DM Mathematics" }
y -12. 371/4 Divide 42 by -324. -7/54 Divide 58320 by -2160. -27 What is -53800 divided by -10760? 5 What is 111339 divided by -267? -417 Divide 479 by -324. -479/324 What is -4271 divided by -29? 4271/29 Divide -566912 by -64. 8858 Calculate -52 divided by -6628. 13/1657 What is 34731 divided by -3? -11577 Divide -7 b...
{ "pile_set_name": "DM Mathematics" }
i*r. Is 13 a factor of r? True Let s(v) = -v**3 - 20*v**2 - 48*v + 1. Let z be s(-14). Let w = z - -635. Is 7 a factor of w? False Let z be 0 - (-7 + 3 + -239). Let k = 399 - z. Does 4 divide k? True Suppose 5*q - q = -3*j + 18634, -5*q + 6204 = j. Is j a multiple of 47? False Let d be (111/444)/((-2)/(-40)). Suppose ...
{ "pile_set_name": "DM Mathematics" }
5 Let t be 34/4 + (-3)/6. Let k be t/32 - (-14)/8. Solve -17 = -2*y - 3*l, k*y + y - 13 = -2*l for y. 1 Let l = 24 - 23. Solve -4*o - l = -f - 9, 1 = -o + f for o. 3 Let f(i) = i**2 - i - i - 4 + 5*i. Let w be 2 - 4 - 0 - 2. Let j be f(w). Solve x - 2 = 2*x - 4*m, j = -2*m for x. -2 Suppose 0 = 4*d - x + 6*x - 5, -3*d...
{ "pile_set_name": "DM Mathematics" }
wrt w. 1730466*w - 34 What is the derivative of -5940587*y**4 - 3023807 wrt y? -23762348*y**3 Find the second derivative of -457766172*f*h**2 - 30*f*h - 4403*f + 147*h - 2 wrt h. -915532344*f What is the derivative of -112896928*z + 81931632 wrt z? -112896928 Find the second derivative of 125413*i**2*q**2 + i**2*q + 5...
{ "pile_set_name": "DM Mathematics" }
*(-2/17) assuming t is positive. t**(-23/323) Simplify (b**(-2/9)/(b/(b*b*b**(1/74)))*b**(-1/25)*((b*b/((b**(13/2)/b)/b))/b)/b*b)**(-1/27) assuming b is positive. b**(22883/224775) Simplify a**(-5)*a**(-7)*(a/a**(-1))**(-47)*(a**1)**(-20)/(a**5*((a/((a/((a**(-2/13)*a*a*a)/a))/a))/a)/a) assuming a is positive. a**(-1714...
{ "pile_set_name": "DM Mathematics" }
second smallest value in -0.4, b, 3? -0.4 Let f = 180 - 121.5. Let o = f + -59. Which is the third smallest value? (a) o (b) 0.3 (c) -23 b Let g = 3227 - 3216. Let h = -217/3 + 71. Which is the second biggest value? (a) h (b) -1 (c) -0.1 (d) g c Let x be 2/(-14)*(-8 - -6). What is the biggest value in 1/4, x, -...
{ "pile_set_name": "DM Mathematics" }
is 703 minutes before 4:25 PM? 4:42 AM What is 126 minutes before 9:04 AM? 6:58 AM What is 121 minutes before 9:02 PM? 7:01 PM How many minutes are there between 2:36 PM and 10:19 PM? 463 What is 12 minutes before 5:47 PM? 5:35 PM What is 646 minutes before 7:33 AM? 8:47 PM How many minutes are there between 7:20 AM an...
{ "pile_set_name": "DM Mathematics" }
- 238411 - 75*s**2. -72*s**2 + 6*s Expand (4 - 1 - 4443*l**2 + 4383*l**2)*(0*l**3 + 0*l**3 + 3*l**3). -180*l**5 + 9*l**3 Expand (-30*z**2 + 546*z**2 + 974*z**2)*(6*z**3 - 3*z**3 + 0*z**3). 4470*z**5 Expand (0 - 8 + 50)*(2*g**4 - 5*g**4 + 2*g**4) + (-5 + 0 + 0)*(g**4 - g**4 - g**4). -37*g**4 Expand -2*v**2 - v**2 - v**...
{ "pile_set_name": "DM Mathematics" }
0110 (base 2) in base 16? -46c6 204107 (base 8) to base 7 401150 -3323411 (base 5) to base 13 -20511 -1011111110101000000 (base 2) to base 13 -109873 -1222002013 (base 4) to base 6 -13150411 3366948 (base 10) to base 7 40422114 -63a463 (base 13) to base 8 -10722650 Convert -1dda69 (base 14) to base 10. -1074957 Convert...
{ "pile_set_name": "DM Mathematics" }
acement from {e: 1, v: 2, j: 2}. 1/5 Two letters picked without replacement from hhxhhxhx. What is prob of picking 1 h and 1 x? 15/28 Four letters picked without replacement from {e: 5, s: 1, q: 1, n: 3}. Give prob of picking 2 n, 1 s, and 1 e. 1/14 Three letters picked without replacement from {c: 2, x: 2, n: 10, g: 2...
{ "pile_set_name": "DM Mathematics" }
5470 What is 1000000001000111011000 (base 2) in base 13? 58782a Convert 1906b3 (base 14) to base 8. 3300245 What is -2103104 (base 13) in base 2? -100110010001001000111011 76d789 (base 14) to base 10 4032429 Convert -123285 (base 9) to base 12. -37205 Convert -11010010111111101011 (base 2) to base 16. -d2feb Convert -1...
{ "pile_set_name": "DM Mathematics" }
Is b at least r? True Let s = 8138 - 11775683/1447. Which is greater: 0 or s? s Let a = -18 - -32. Let j = 15.6 - a. Let k = j - -0.4. Which is smaller: -3 or k? -3 Let t = 13303 + -13303.2. Is -386/17 smaller than t? True Suppose w = 7*w - 5076. Let y be 27/w*(-2 - (-3 - 1)). Is -3 less than y? True Let q = -1893 - -...
{ "pile_set_name": "DM Mathematics" }
06. 2, 139, 1180427 What are the prime factors of 236751088? 2, 7, 151, 13999 List the prime factors of 1492336258. 2, 7, 15227921 List the prime factors of 146964330. 2, 3, 5, 73, 22369 List the prime factors of 41759852. 2, 31, 336773 What are the prime factors of 596527343? 596527343 List the prime factors of 551617...
{ "pile_set_name": "DM Mathematics" }
implify 4 + -3 + sqrt(5)*1. 1 + sqrt(5) Simplify (sqrt(637) + 2*sqrt(637))**2*6. 34398 Simplify (3 + (sqrt(17) - sqrt(51)/sqrt(3) - sqrt(17)) - 1*(sqrt(17) - sqrt(68))) + -2*sqrt(119)/(-2*sqrt(7)). 3 + sqrt(17) Simplify (-3 + (sqrt(605) + 3 - sqrt(5)) + sqrt(5))*6. 66*sqrt(5) Simplify -4 + sqrt(17) + 2 + -1. -3 + sqrt(...
{ "pile_set_name": "DM Mathematics" }
remainder when 1/(2/106*1) is divided by k. 9 Suppose 74 = -0*p + p + 3*f, 2*p + f = 148. What is the remainder when p is divided by 58/87 + (-37)/(-3)? 9 Suppose 6*d = 57 + 39. What is the remainder when 65 is divided by (-18)/(-6) - d/(-2)? 10 Let g(c) = -c**3 + 8*c**2 - 13. Let i = -14 - -19. Suppose 0 = -w - w - j...
{ "pile_set_name": "DM Mathematics" }
tiple of 13? True Let r(a) = 2*a**2 - 12*a - 26. Is 29 a factor of r(-12)? True Suppose n - 4 = 0, 0 = 3*y - 0*n + 2*n - 638. Does 6 divide y? True Suppose 2*q + 14 = 9*q. Is (q/(-5))/(4*7/(-420)) a multiple of 5? False Suppose 3*s = 5*s - 1408. Does 16 divide s? True Suppose -3 = -i - 7. Let u be (-2)/i*7*2. Let n = -...
{ "pile_set_name": "DM Mathematics" }
*n - 111. Let h(o) = -8*b(o) + 3*m(o). Find the third derivative of h(q) wrt q. 9510 Let g(x) = x**3 - 36*x**2 + 46. Let q be g(36). Find the second derivative of -q*f**3 + 2*f**2 - 823 + 828 - 2*f**2 - 2*f wrt f. -276*f Let m = 93 - 88. Suppose m - 3 = g. What is the third derivative of -33*v**g + 115*v**6 - 89*v**6 -...
{ "pile_set_name": "DM Mathematics" }
- 2*t Expand -10863 + 77*c - 11*c + 10864 - 6 + 6 - 4*c + (0 + 0 + 2)*(-c - 2*c + 2*c) + 2 - 2 + c. 61*c + 1 Expand (-3*f + 0*f + 4*f)*(-5*f**2 + 3*f**2 + 0*f**2) - 135 + 135 + 36*f**3 + (f**2 - 3*f + 3*f)*(-f - f + 0*f). 32*f**3 Expand (421 + 434 - 855 - 3508*d)*(0*d**2 + 0*d**2 + 2*d**2). -7016*d**3 Expand 7*u**5 - ...
{ "pile_set_name": "DM Mathematics" }
+ 2467. What is the thousands digit of j? 3 Let s = 28 + -52. Suppose 2*m - h = 78, -2*h = -7*h. Let v = m + s. What is the tens digit of v? 1 Let g = 7 + -6. Let l = -2 - g. Let x = l + 14. What is the tens digit of x? 1 Let g(m) = -m**2 + 9*m - 5. Let v be (-2 - 0)/(-2) + -1. Suppose 0*x + x - 4 = v. What is the unit...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from dvdrddum? 1/7 Calculate prob of picking 2 j when two letters picked without replacement from jijiijjiiiijiiii. 1/12 Two letters picked without replacement from {e: 2, d: 7}. What is prob of picking 2 e? 1/36 Three letters picked without replacement from {f: 3, c: 2}. What is prob of pick...
{ "pile_set_name": "DM Mathematics" }
82 - -1121/1974. What is the third biggest value in -3, 5, d, 1? d Let o be 2/9 + (-13)/18. What is the third biggest value in o, 5, -2/3? -2/3 Let h(i) = 3*i - 1. Let v be h(1). Let d be 25/(-165) + v/6. Which is the second smallest value? (a) 0.3 (b) -1 (c) d c Let h = -1699/13 - -131. Which is the smallest value?...
{ "pile_set_name": "DM Mathematics" }
Put -1, t, y in increasing order. y, -1, t Let q be (28/(-70))/(1/5). Put -1, q, -16, -4 in descending order. -1, q, -4, -16 Suppose 3*n + 10 = 4*m - 18, -2*n = 2*m. Sort m, -14, 3. -14, 3, m Suppose 9*o - 40 = o. Let i = -0.3 - 3.7. Sort 0, i, o in descending order. o, 0, i Suppose 2*i + 4*h - 28 = 0, -2*i + 7*h = 3*h...
{ "pile_set_name": "DM Mathematics" }
. 3 Suppose -3*a = -4*c - 34, 192*a - 196*a - 2*c + 16 = 0. Solve -9*v = -a*v, -5*y = -4*v - 25 for y. 5 Let l be (-10)/20*(-1 + -3)*1. Let x(d) = -58*d**2 - d**3 - 3 + 51*d**l + 5 - 13*d. Let g be x(-4). Solve 2*m - 4*z = 22, 0 = -4*m - 3*z + g*z + 29 for m. 5 Let m(z) be the third derivative of 0*z - 1/24*z**4 + 2/3*...
{ "pile_set_name": "DM Mathematics" }
en 20344 is divided by 95. 14 What is the remainder when 1119823 is divided by 231? 166 Calculate the remainder when 419325 is divided by 84. 81 Calculate the remainder when 27349 is divided by 3415. 29 Calculate the remainder when 69548780 is divided by 531. 524 Calculate the remainder when 6638631 is divided by 37. 1...
{ "pile_set_name": "DM Mathematics" }
the prime factors of y. 5 Let f(v) = 14*v + 850. Let z be f(-57). Let b be 16/3 + 2/3. Suppose -20 = -b*l + z. What are the prime factors of l? 2, 3 Suppose 30 = -5*c, -m + 1882 = -4*c + 9*c. List the prime factors of m. 2, 239 What are the prime factors of 437668/(-147)*(-126)/24? 7, 11, 29 Let k = -22 + -8. Let g be ...
{ "pile_set_name": "DM Mathematics" }
08. 94 What is the remainder when 201683 is divided by 84? 83 Calculate the remainder when 393127 is divided by 209. 207 Calculate the remainder when 32678 is divided by 6527. 43 What is the remainder when 17125 is divided by 20? 5 What is the remainder when 2330 is divided by 714? 188 Calculate the remainder when 1421...
{ "pile_set_name": "DM Mathematics" }
r p. -1 Solve -34*r + 40*r = 0 for r. 0 Solve 5*l - 2 + 7 = 0 for l. -1 Solve -256 = 26*v - 74 for v. -7 Solve 148*u + 153 = -291 for u. -3 Solve 9*w = 363 - 399 for w. -4 Solve -9*x + 11*x = 8 for x. 4 Solve -36 = 2*w + 10*w for w. -3 Solve 2 = 3*p - 2*p for p. 2 Solve -4*m - 10 = m for m. -2 Solve -23*f + 26*f = -3 f...
{ "pile_set_name": "DM Mathematics" }
317. Put o, -1, -23 in descending order. o, -1, -23 Suppose 4*i = 380 + 104. Let c be (-68)/(-11) - 22/i. Sort 2, c, -5 in ascending order. -5, 2, c Let i = -23 + 12. Let l = i - -18. Suppose 0 = -2*y + 5*v + l, -3*y - 5*v = -2*y + 19. Sort 0, y, 4 in ascending order. y, 0, 4 Suppose 7*o - 144 = 171. Let s be ((-12)/10...
{ "pile_set_name": "DM Mathematics" }
What is next in 10574282, 10574295, 10574308, 10574321, 10574334? 10574347 What is the next term in 3216, 739, -3404, -9225, -16736, -25949? -36876 What is next in -224, -671, -1838, -4091, -7796? -13319 What is the next term in -274537, -549177, -823817? -1098457 What is the next term in -6421776, -6421780, -6421784,...
{ "pile_set_name": "DM Mathematics" }
5 Let v = -9 - -11. Let q(j) = -j + 0*j**2 + 3*j**v + 2*j**3 - 2*j - j**2 - 3. Give q(-2). -5 Let r(g) = -2*g**2 - 10*g**3 - 2 + 3*g**2 + 11*g**3. Let f(i) = -i**2 - i + 4. Let h be f(2). Give r(h). -6 Let h = 7 + -10. Let v(u) = -2*u**2 - 3*u - 4. Determine v(h). -13 Let r(w) = 2 + 2*w - 4 - 2 + w**2 + 6. What is r(-4...
{ "pile_set_name": "DM Mathematics" }
ed without replacement from yyyyyyyyy? 1 Calculate prob of sequence ixx when three letters picked without replacement from {x: 4, i: 16}. 8/285 Two letters picked without replacement from {g: 5, n: 1, v: 4, s: 3}. Give prob of sequence vv. 1/13 Calculate prob of sequence dsj when three letters picked without replacemen...
{ "pile_set_name": "DM Mathematics" }
= r + -75/14. What is the common denominator of p and 2/11? 22 Let m = 15145/14382 + 2/799. Let d = -75/301 + 3/86. Find the common denominator of m and d. 126 What is the lowest common multiple of 1 and (-4)/(-2)*16/32? 1 What is the common denominator of 87/8 and 58/((-19)/5 - 1)? 24 Let u be -4 + (-4)/(0 + -2). Fin...
{ "pile_set_name": "DM Mathematics" }
tive of y(s) wrt s. 10 What is the third derivative of 7*i**2 - 2*i**2 - 18*i**6 - 2*i**2 wrt i? -2160*i**3 Find the first derivative of -2*c**4 + 4 + c**4 - 7 wrt c. -4*c**3 Find the third derivative of 13*k**2 - 11*k**3 + 21*k**3 - 9*k**3 wrt k. 6 Let k(j) be the first derivative of -j**6/24 - j**4/4 - 3*j**2/2 + 4. ...
{ "pile_set_name": "DM Mathematics" }
quence xcxt when four letters picked without replacement from jtccxcpyxtcx? 2/495 What is prob of sequence tvvv when four letters picked without replacement from ttxtttttxxdttttxtvxt? 0 Calculate prob of sequence mm when two letters picked without replacement from ttmmyymtmytt. 1/11 Calculate prob of sequence wmi when ...
{ "pile_set_name": "DM Mathematics" }
414*u Expand (1 + 1 - 1)*(1 - 1 - 2*q + q + 3*q - 5*q + (-4 - 1 + 1)*(-q + 0*q + 2*q)). -7*q Expand -4*t**2 + 4*t**2 - 3*t**2 + (3*t - t - 3*t)*(2*t - 4*t + 3*t) + 2*t**2 + 2*t - 2*t - t**2 + 3*t**2 - 5*t**2 - 2*t**2 + 0*t**2 + 10*t**2. 3*t**2 Expand (b + b - b)*(-461*b + 238*b + 4 + 240*b)*(-2*b**3 + 1 - 1 + (-b + b -...
{ "pile_set_name": "DM Mathematics" }
70 What is the next term in 40, 81, 196, 421, 792, 1345, 2116, 3141? 4456 What is the next term in -42, -290, -960, -2262, -4406, -7602, -12060, -17990? -25602 What is next in 432, 863, 1294, 1725, 2156? 2587 What is next in 1161, 1160, 1159, 1158, 1157? 1156 What is the next term in 199, 205, 209, 211? 211 What is th...
{ "pile_set_name": "DM Mathematics" }
20 + f = 0. What is the smallest common multiple of 4 and z? 4 Let w = -717 - -105404/147. Find the common denominator of 107/12 and w. 588 Let q be (-1)/7*-7 - 428. Let o = -409 - q. What is the least common multiple of (-1)/(-3) - 16/(-6) and o? 18 Suppose -7*y + 2*y = 2*x - 135, -5*x + 2*y = -294. Let b = -28948/9 +...
{ "pile_set_name": "DM Mathematics" }
(w) = -19*w**2 + 9*w - 3. Let u(c) = -3*c + 1. Let o(g) = 3*u(g) + z(g). What is l(o(x))? 2888*x**4 Let q(n) be the first derivative of -27*n**2/2 - 13. Let c(s) = -1 + 6 - 5 - 2*s. Calculate q(c(u)). 54*u Let w(s) = -20*s**2 - 12*s - 3. Let r(h) = -858*h**2 - 520*h - 130. Let v(a) = -3*r(a) + 130*w(a). Let u(k) = -3*k...
{ "pile_set_name": "DM Mathematics" }
he common denominator of -80/34359 and -7/21144? 274872 What is the lowest common multiple of 8 and 1448? 1448 What is the smallest common multiple of 6 and 38740? 116220 Calculate the lowest common multiple of 276888 and 18348. 3045768 What is the least common multiple of 143016 and 6868? 2431272 What is the smallest ...
{ "pile_set_name": "DM Mathematics" }