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c = 146 + -105. Let r = c - w. What is the nearest to 1/3 in r, -3, 2? r Let u be ((-1650)/200)/(15/(-40)). Suppose 0*p - 6 = -2*p. What is the closest to 0 in 4/3, u, p? 4/3 Let l be (-1)/(-3) - 250/75. Let u(y) = -y**2 - 9*y - 4. Let t be u(-9). Let c = t + 6. What is the nearest to -1 in c, -15, l? l Let w = -4.794...
{ "pile_set_name": "DM Mathematics" }
= -4*h - 6*h - 3*h + h + 14*h. Let k(y) = 7*y**2 - 6*y. Let u(n) = n**2 + n. Let v(x) = k(x) + 6*u(x). Give v(f(r)). 52*r**2 Let c(s) = 2*s**2 - 3. Let l(f) = -1. Let z(d) = -c(d) + 3*l(d). Let j(u) = -u**3 - 2*u**2 + u + 2. Let i be j(-2). Let p(x) = x + i*x + 0*x. Calculate p(z(t)). -2*t**2 Let v(j) be the first deri...
{ "pile_set_name": "DM Mathematics" }
Expand (-2 - 18*p**5 + 15*p**5 + 4*p + 9)*(5 + 2 - 4). -9*p**5 + 12*p + 21 Expand 2*m**2 - 2*m**2 + 5*m**4 + (0 - m**3 + 0)*(23 + 16*m + 4*m - 24) + (3*m**2 - 4*m**2 + 0*m**2)*(-4*m**2 - 2 + 2). -11*m**4 + m**3 Expand -w + 3*w + 0*w + (2 + 6 + 6)*(-11 - 15 + 23)*(0*w + w - 3*w). 86*w Expand -3*l**3 - l + l + (-l + 4*l...
{ "pile_set_name": "DM Mathematics" }
from kbjkdkbvkjddkjkbkdk. Give prob of sequence bj. 1/38 What is prob of sequence ffh when three letters picked without replacement from {z: 2, f: 4, d: 1, h: 1, x: 3}? 2/165 Calculate prob of sequence et when two letters picked without replacement from eweuuuttuuwuuutt. 1/30 What is prob of sequence uj when two lette...
{ "pile_set_name": "DM Mathematics" }
3 What is the greatest common divisor of 11863308 and 828? 276 What is the highest common divisor of 2409 and 148126? 11 Calculate the highest common factor of 25927 and 195631. 2357 Calculate the greatest common divisor of 16173 and 232060986. 5391 What is the greatest common divisor of 4516 and 63384318? 2258 Calcula...
{ "pile_set_name": "DM Mathematics" }
the remainder when s is divided by 64. 62 Let s = -2320 - -2326. Suppose 2*j - 5*i = 281, 3*j + 2*j + 4*i = 752. What is the remainder when j is divided by s? 4 Suppose -2*n + 3 + 7 = 0. Let x = -2 + n. Suppose 5*t = -x*j - j + 180, 3*t - 5*j = 71. Calculate the remainder when 95 is divided by t. 31 Let m(o) = 241*o -...
{ "pile_set_name": "DM Mathematics" }
1. -1, 0, 4, 6 Sort 17, 0, -774, -3 in descending order. 17, 0, -3, -774 Put -1, -16, -14 in descending order. -1, -14, -16 Sort -1, 1, 2/25. -1, 2/25, 1 Sort -2/7, 0, -8.21. -8.21, -2/7, 0 Put 4, -1, -4, 5 in increasing order. -4, -1, 4, 5 Sort -4.3, -155, 1. -155, -4.3, 1 Put -1, -57, 4 in decreasing order. 4, -1, -5...
{ "pile_set_name": "DM Mathematics" }
- 2404. What is the hundreds digit of w? 4 Let t be 0 + -4 - (-1326 + 2). Suppose -10*q + 20 = -6*q, 4*q = -4*b + t. What is the hundreds digit of b? 3 Suppose 2*r + 54*t = 55*t + 3194, 7972 = 5*r + 4*t. What is the units digit of r? 6 Let t be 1380/18 + (-24)/9 + 3. Let m = -37 + t. What is the units digit of m? 0 Let...
{ "pile_set_name": "DM Mathematics" }
Is u/(-70) - (-8)/z a multiple of 24? True Suppose -g - 5*b = -120, 2*g + b - 185 = 2*b. Does 19 divide g? True Let s = 49 - 45. Suppose -25 = 2*k - 3*m, -2*k + 4*m - 30 = -0*k. Let p = s - k. Is 9 a factor of p? True Is (-7)/(-3) + -3 + 204/9 a multiple of 14? False Let j be (2/(-8))/(2/(-8)). Does 27 divide (1 - (-87...
{ "pile_set_name": "DM Mathematics" }
? 8 Suppose -3177 = 15*x - 4932. Calculate the remainder when 169 is divided by x. 52 Suppose -484*x + 503*x - 95 = 0. Let s = -5 - 7. Calculate the remainder when 4/(-16) + (-291)/s is divided by x. 4 Suppose -8*j = -58*j + 44600. Let v = j - 872. What is the remainder when v is divided by 3? 2 Let z be (-215)/(-20) +...
{ "pile_set_name": "DM Mathematics" }
s prob of sequence tt? 55/91 Calculate prob of sequence jkkk when four letters picked without replacement from {j: 2, k: 3}. 1/10 Calculate prob of sequence aa when two letters picked without replacement from {o: 4, a: 10, l: 5}. 5/19 Two letters picked without replacement from {n: 6, r: 8, k: 3, u: 2}. Give prob of se...
{ "pile_set_name": "DM Mathematics" }
e of 9? False Does 517 divide 1779220? False Is 804875 a multiple of 25? True Does 480 divide 1830898? False Does 32 divide 1686211? False Does 26 divide 99144? False Does 4 divide 5339244? True Does 24 divide 678576? True Does 7 divide 6291236? True Is 7 a factor of 3138941? False Does 818 divide 137857? False Is 93 a...
{ "pile_set_name": "DM Mathematics" }
(-976)/(-10) + 168/(-280). Suppose y = -6*a + 193. Solve 0 = -4*u + a, 2*u - 33 = -z*n + 5*n for n. 5 Let n(k) = 3*k**2 - 8*k + 7. Let i be n(3). Let a be 56/i + (-12)/90*-3. Solve 4*r = 20, 0 = 2*z + a*r - 2*r - 30 for z. 5 Let r be 1/4*6*(14 - 12). Let s be 2/r*(6 - -3 - 3). Solve -5 = k - 0*k, 5*o = s*k + 5 for o. ...
{ "pile_set_name": "DM Mathematics" }
/15982 Is -0.029 greater than 0.3265? False Is -0.92215 <= -5? False Which is greater: -0.298 or 5/46? 5/46 Is 19195 >= 19185? True Which is smaller: 30408 or -3/4? -3/4 Is 149935 bigger than 149930? True Is 1 bigger than 457/281? False Is 0 at most -1432/1091? False Which is bigger: -40228 or -40231? -40228 Is -143 eq...
{ "pile_set_name": "DM Mathematics" }
e the remainder when 491 is divided by 2. 1 What is the remainder when 512 is divided by 19? 18 What is the remainder when 55523 is divided by 28? 27 What is the remainder when 299 is divided by 50? 49 What is the remainder when 1486 is divided by 110? 56 Calculate the remainder when 83 is divided by 20. 3 What is the ...
{ "pile_set_name": "DM Mathematics" }
15 = d - i*h, -4 - 2 = 2*d - h for d. -5 Let b = 27 - 25. Let n be (1 - b)*(4 - 6). Solve 3*d - 5 = 5*q, n*d - 2*q = d + 1 for d. 5 Let d = 1504 - 1502. Solve -d*h + 3*h + 4*v = 16, 0 = -5*h - 5*v + 5 for h. -4 Suppose -5*f + 20 + 10 = 0. Let i be (-2 + 0 + (-8)/(-3))*f. Solve 3*y = 4*y + 2, 5*y - 10 = -i*h for h. 5 Su...
{ "pile_set_name": "DM Mathematics" }
t f be -1 - -7*1/g. Which is smaller: f or 1? f Let u = -4.2 + 0.8. Let s = 4 + u. Let b = s - 0.56. Is 0 != b? True Let l = 19.4 - 20. Let v be 2/5 - (2 + -2). Is v >= l? True Let p(s) be the first derivative of -s**2/2 - 4*s + 4. Let u be p(-6). Let k be (4/18)/((-6)/(-9)). Is u <= k? False Let w = -8 - -5. Let k be ...
{ "pile_set_name": "DM Mathematics" }
9 Calculate -34*-16. 544 What is the product of 0.067302 and -1? -0.067302 What is the product of -202.5 and 0.2? -40.5 Product of -19.5 and -288. 5616 -95532 times 5 -477660 Work out -36451 * 0.3. -10935.3 1603.45 * 0.2 320.69 What is 1.24 times 132? 163.68 698 times -7.66 -5346.68 2417620*2 4835240 Product of 0.085 a...
{ "pile_set_name": "DM Mathematics" }
v. 54 Let c be (-6 - -8)/((-3)/24). Let b = -6 - c. Let l(p) = 13*p - 122. Calculate the least common multiple of b and l(10). 40 Let k(i) = -i**3 - 13*i**2 - 3*i - 433. What is the lowest common multiple of k(-15) and 2? 62 Let k = 100 - 123. Let p = -72 - -41. Let s = k - p. Calculate the least common multiple of 1 a...
{ "pile_set_name": "DM Mathematics" }
01 Let x = 1218 - 1222.27. Round x to the nearest 10. 0 Suppose -12*s = -3*z - 13*s + 3, 2 = 2*z - 3*s. Let w be 16/(-12) + z - 5770/6. Round w to the nearest ten. -960 Let h = 217.700916 - -0.061084. Let g = h - -0.238. Let p = g + -218.00000161. Round p to 7 decimal places. -0.0000016 Suppose -3*p + 83044 = 4*q, 4*p ...
{ "pile_set_name": "DM Mathematics" }
45. -99.7714445 -165084 - 8132 -173216 What is 1.58 plus -206.75? -205.17 Work out 3 - -1349235. 1349238 What is -14 - 1.430462? -15.430462 What is 0.12 minus 0.1730354905? -0.0530354905 Subtract 37363 from -25.3909. -37388.3909 What is 6559365 - -5? 6559370 Sum 712 and 873748. 874460 Add -0.8 and 502.0028. 501.2028 Ca...
{ "pile_set_name": "DM Mathematics" }
implify (3 + (3*3*sqrt(264) + sqrt(264))/(sqrt(864) + sqrt(24) - sqrt(6)))**2. 120*sqrt(11)/13 + 5921/169 Simplify ((sqrt(135) + sqrt(135)*4)/sqrt(3))/(sqrt(3645)/sqrt(5)). 5*sqrt(5)/9 Simplify (-2 + (sqrt(170) + (sqrt(170) - 2*sqrt(170))*-1)/(sqrt(50)/sqrt(245))*6)**2. -336*sqrt(17) + 119956 Simplify -6*(0 + sqrt(3) +...
{ "pile_set_name": "DM Mathematics" }
3*h**2. 141*h**2 Collect the terms in 14*g**2 - 36*g**2 + 11*g**2 + 9*g**2. -2*g**2 Collect the terms in 3 - 3 - 35*f**2 + 41*f**2. 6*f**2 Collect the terms in -41421 + 41421 + 2*u**3. 2*u**3 Collect the terms in u**2 + 19 + 19 + 4 + 17. u**2 + 59 Collect the terms in 4*d**2 - 18 - 16 + 5*d**2. 9*d**2 - 34 Collect the ...
{ "pile_set_name": "DM Mathematics" }
328/(-168))? -1/21 Evaluate -33 - -89 - 24 - (-2 - -19). 15 Evaluate (6/(-9) - (-5)/30)*(-1 + -27). 14 What is (-20 - (-99)/9)/(-22 - -21)? 9 Calculate ((-96)/168)/((-3)/(-7)) - 2/(-3). -2/3 Calculate (-97257)/(-9535)*10*(-2)/(-12). 17 Evaluate 35/(-77)*-3*4/(-10). -6/11 (9424/171)/8 + 1 + -8 -1/9 Calculate 6/(-15)*180...
{ "pile_set_name": "DM Mathematics" }
, -42687, -53359? -64031 What is next in 60200, 60201, 60196, 60185, 60168? 60145 What is the next term in -16417, -32846, -49277, -65710, -82145, -98582, -115021? -131462 What is next in 40228, 40235, 40246, 40261, 40280, 40303, 40330? 40361 What is the next term in 22360, 89463, 201300, 357871, 559176, 805215? 109598...
{ "pile_set_name": "DM Mathematics" }
(-2) + -3). What is the closest to -2 in 2, t, 1, -18/5? -18/5 Let z = 0.16 - 0. Let g = -0.26 + z. Let r = -0.86 - 0.14. Which is the closest to r? (a) g (b) 1 (c) 0.2 a Let a be (-2)/5 - 16/(-65). Let h = -64482/47 - -1372. What is the nearest to h in a, 5, -3? a Let q = 13/6 - 5/3. Suppose 9 = -5*f + 2*m - 3*m, -...
{ "pile_set_name": "DM Mathematics" }
ve -i = -u*i + 5 for i. -5 Let p be (2/9)/((-10)/15)*-39. Suppose p*j - 14 = 6*j. Solve -4*s = -j*s + 4 for s. -2 Let z = -18 - -22. Suppose 0*n - 11 = -4*y + n, -3*y - z*n = -32. Suppose -3*p = -p - y. Solve 3 = -x - p*x for x. -1 Suppose 4*m = -0*m + 8. Suppose m = 19*w - 18*w. Solve p + 0 = -w for p. -2 Suppose -5*z...
{ "pile_set_name": "DM Mathematics" }
t is the second smallest value in q, v, 2/9? v Let m = -570 + 570.5. What is the second smallest value in m, -3, 0.1, -39? -3 Suppose -14 = 17*z - 3*z. Which is the third smallest value? (a) 21/4 (b) z (c) 0.2 a Let g = 25 - 16. Let k = 10.7 - 14.7. Which is the third biggest value? (a) g (b) -3 (c) 2/3 (d) k b ...
{ "pile_set_name": "DM Mathematics" }
the first derivative of v(o) wrt o. 21008*o**3 Suppose t + 37 = o, -4*o + 3*t + 145 = -2*t. Find the first derivative of -46*g - 57*g**4 - 48*g - o + 94*g wrt g. -228*g**3 Find the second derivative of 15223903*o**4 - 15223586*o**4 + 859*o + 930*o wrt o. 3804*o**2 Let i(v) be the third derivative of -25/3*v**3 + 0*v**4...
{ "pile_set_name": "DM Mathematics" }
-3)/(-5) + (-144)/40. Sort y, 1, l. y, l, 1 Let z = 0.846 - 0.9. Let i = 4.154 + z. Let x = i + -0.1. Put x, -5/3, -0.3 in ascending order. -5/3, -0.3, x Suppose -4*c + 17 = -u, 0 = 3*u - u - 4*c + 26. Let g = 13 + u. Let w be 1/3 + (-2)/6. Put g, -4, w in decreasing order. g, w, -4 Let d = -0.069 + -0.931. Let b = -1 ...
{ "pile_set_name": "DM Mathematics" }
st the prime factors of 31926. 2, 3, 17, 313 List the prime factors of 145359. 3, 31, 521 What are the prime factors of 1685? 5, 337 What are the prime factors of 3016? 2, 13, 29 What are the prime factors of 34514? 2, 17257 List the prime factors of 2103. 3, 701 What are the prime factors of 756? 2, 3, 7 List the prim...
{ "pile_set_name": "DM Mathematics" }
)/a*(-4)/11. What is the closest to -1 in 0.1, y, 3? y Let w = 6 - 6.3. Let g = 4.87 - -0.13. Let y be (-20)/(-14) - 2/(-4 - -5). What is the closest to y in g, w, -0.2? w Let z = 85 + -84. Let s = -5.3 + 5. Which is the closest to z? (a) -1/7 (b) 2/3 (c) s b Let t = -147/5 + 1901/65. Let m = -29/6 - -25/6. Which is...
{ "pile_set_name": "DM Mathematics" }
d and 1 n when three letters picked without replacement from {q: 4, l: 1, d: 2, t: 1, n: 9}. 9/680 Three letters picked without replacement from iididdd. What is prob of picking 3 d? 4/35 What is prob of picking 1 f, 1 h, and 1 t when three letters picked without replacement from trloffh? 2/35 Two letters picked witho...
{ "pile_set_name": "DM Mathematics" }
te -2*h*m + 8320*h*p**2 + 11*m*p**2 - 29*m*p - 2 wrt m. -2*h + 11*p**2 - 29*p Find the second derivative of v**3*z**2 - 4349*v**3*z - 2*v**2*z**2 - 7*v*z**2 - 2897*v*z + 2*v wrt v. 6*v*z**2 - 26094*v*z - 4*z**2 Differentiate -13410*d**2*i**3 + 8*d**2*i**2 + d**2 + 14765*d - 4 with respect to i. -40230*d**2*i**2 + 16*d*...
{ "pile_set_name": "DM Mathematics" }
ors of (-1 + (-5 - -4))*b? 2, 3, 11 Suppose 0 = -3*v + 3. What are the prime factors of (-1)/(-2)*(-128)/(-2*v)? 2 Suppose -2*q = -7*q - 5*k + 210, 20 = -4*k. Let z(l) = -76*l**3 + l + 1. Let r be z(-1). Let o = r - q. List the prime factors of o. 29 Let u = -1616 + 2686. List the prime factors of u. 2, 5, 107 Let p(y)...
{ "pile_set_name": "DM Mathematics" }
b(l) = -7*l - 2. Let j be b(-11). What is the greatest common factor of r and j? 25 Suppose -289*f = -284*f - 75. What is the highest common factor of f and 24? 3 Let v = -5 - -14. Let j(i) = -2*i + 24. Let g be j(v). Calculate the greatest common divisor of 2 and g. 2 Suppose 10*u = 8*u + 6. Suppose 4*c - 27 = -u*z, -...
{ "pile_set_name": "DM Mathematics" }
/2). Put i, -2, 2, -1 in increasing order. i, -2, -1, 2 Suppose -2*k + 13 = 3*t, -4*k = -0*k + 4*t - 24. Sort 1/4, 1/2, k in descending order. k, 1/2, 1/4 Suppose 2*q - 12 = -s + 4, -5*q - 5*s + 30 = 0. Suppose 0 = q*v - 12*v. Sort 5, -1, v. -1, v, 5 Let h be 128/60 - 4/2. Let a = h - 29/105. Put a, 1, -4/5 in ascendin...
{ "pile_set_name": "DM Mathematics" }
1/2, to the nearest integer? 32 What is 75638 to the power of 1/10, to the nearest integer? 3 What is the third root of 11987 to the nearest integer? 23 What is the square root of 77055 to the nearest integer? 278 What is 4078 to the power of 1/2, to the nearest integer? 64 What is 1028 to the power of 1/2, to the near...
{ "pile_set_name": "DM Mathematics" }
hree letters picked without replacement from {p: 3, r: 5, v: 8}. What is prob of picking 1 r, 1 v, and 1 p? 3/14 Calculate prob of picking 1 w and 2 s when three letters picked without replacement from {w: 2, t: 2, s: 2}. 1/10 Two letters picked without replacement from xexdxdhxoxedhxxhxe. Give prob of picking 1 o and ...
{ "pile_set_name": "DM Mathematics" }
ommon multiple of 18 and l. 180 Suppose -1078 = -13*f - f. Calculate the common denominator of (-3)/(-2) + (-3)/(-12) and 7/16 - (5 - f/14). 16 What is the lowest common multiple of 176 and 0 - 2/18 - ((-14848)/144 - -4)? 1584 Let t(l) = -30*l + 134. Let g be t(4). Suppose 8*v = -g*v + 330. What is the smallest common ...
{ "pile_set_name": "DM Mathematics" }
t m be r(n). Which is smaller: m or z? m Let v(x) be the first derivative of -x**4/4 - 7*x**3/3 + x**2/2 + 7*x + 2. Let t be v(-7). Which is greater: t or 1? 1 Suppose 69*z - 68*z = 0. Which is smaller: z or -1/20? -1/20 Let v = -3/8 + -1/40. Suppose -3*z - 5 = -14. Suppose 5*c + 2 = -z. Is v <= c? False Let k = -13 + ...
{ "pile_set_name": "DM Mathematics" }
**3 + 4*i**3)*(2*i + 2 - 3 - 10) to l*i**3 + v*i + c*i**2 + d + f*i**4 and give l. -33 Rearrange 6*c**2 + 2*c**2 - 18*c**2 to the form n*c**2 + x + p*c and give n. -10 Rearrange 13*b - 8*b - 2*b**3 + 3*b to z*b**3 + o*b + g*b**2 + s and give o. 8 Rearrange (y - 2*y + 0*y)*(y + 2*y + 0*y)*(y + 6*y - 3*y)*(2 - 1 - 3) to ...
{ "pile_set_name": "DM Mathematics" }
43, 8, -4, -10 Put 2, -510, -4, 5, -5, 6, 87 in decreasing order. 87, 6, 5, 2, -4, -5, -510 Sort 84, -5/6, -1149.8 in decreasing order. 84, -5/6, -1149.8 Sort 0.2, -16, -0.2, -3756/83. -3756/83, -16, -0.2, 0.2 Sort 2, -6, 4, -2, 774, -24 in decreasing order. 774, 4, 2, -2, -6, -24 Put 6, -1, -61, 0, 375 in decreasing o...
{ "pile_set_name": "DM Mathematics" }
Suppose -11*v - 18 = -12*v. Suppose -v = 3*a + 57. Does 10 divide (4/(-5) + 0)*a? True Suppose -2*l + 401 = 3*x, -4*l - 478 + 47 = -3*x. Is x a multiple of 9? False Let h be (-3)/9 - 570/18. Let c = 45 - -17. Let f = c + h. Is 15 a factor of f? True Let o(q) = q**3 - 3*q**2 + q - 1. Let r(w) = -w + 16. Let x be r(12)....
{ "pile_set_name": "DM Mathematics" }
18b (base 12) in base 15? 11b Convert -134 (base 12) to base 7. -352 Convert -5 (base 13) to base 6. -5 What is -1 (base 12) in base 3? -1 Convert 2 (base 15) to base 14. 2 -2040 (base 5) to base 16 -10e 3 (base 4) to base 8 3 What is -10 (base 3) in base 2? -11 115 (base 12) to base 11 137 What is 10 (base 2) in base ...
{ "pile_set_name": "DM Mathematics" }
8*r = -4*t + 7*r + 24. Suppose -s + y = t*s. Calculate the remainder when 4 is divided by s. 1 Suppose -4*u + 2*i + 403 = 3*i, 0 = 2*u + 4*i - 184. Suppose -2*c - 3*q + u = -8*q, -4 = -q. What is the remainder when c is divided by 16? 13 Suppose -3*v = 3*f - 309, -2*v - 204 = -2*f - 6*v. Calculate the remainder when f...
{ "pile_set_name": "DM Mathematics" }
hich is bigger: -1 or -9/6298? -9/6298 Which is greater: 2/9 or -39613? 2/9 Which is greater: -439/57 or -9? -439/57 Which is smaller: -293/278 or -1? -293/278 Which is greater: 30139 or 30161? 30161 Is -32 less than or equal to -5543? False Is 735764 != 0.1? True Is 65872 bigger than 65862? True Is -143/67866 at most ...
{ "pile_set_name": "DM Mathematics" }
t t be h(6). Suppose -s + t = -0*s. What is the highest common divisor of 24 and s? 12 Let s = -9 - -13. Suppose s*d - 168 = -0*d. Calculate the highest common divisor of 63 and d. 21 Let p(i) = -i**2 - 4*i + 1. Let t = -2 + -1. Let j be p(t). What is the greatest common divisor of 16 and j? 4 Suppose 3*l + 28 = 7*l. L...
{ "pile_set_name": "DM Mathematics" }
2)/(1/(5 - 1)). Let o = x + -20. Solve 6 = -2*i - 3*r, -2*i + 5*r - 3 - 3 = o for i. -3 Let x(r) = 505 - 9*r - 524 + 0*r. Let t(l) = -4*l - 10. Let f(h) = -7*t(h) + 3*x(h). Let m be f(-6). Solve 2*v + 1 = p + m*v, 4*p + 3*v - 4 = 0 for p. 1 Let g(j) = j + 6. Let s be g(-5). Let m be s/2*(-198)/(-33). Solve 2*p = m*f - ...
{ "pile_set_name": "DM Mathematics" }
1488270 Calculate the least common multiple of 6108 and 126232. 378696 Calculate the common denominator of -1/36 and -62/24939. 99756 Find the common denominator of -31/143 and -24/435955. 4795505 What is the common denominator of -11/342048 and -37/2016? 1026144 What is the smallest common multiple of 255 and 17? 255 ...
{ "pile_set_name": "DM Mathematics" }
ivided by -6536 57 -1139 divided by -107 1139/107 What is -716510 divided by -358255? 2 Divide -3840556 by -4. 960139 Calculate -4997158 divided by 106. -47143 Divide -7251684 by -1644. 4411 What is 3114 divided by -519? -6 What is -1 divided by -287? 1/287 Divide 19297 by -35. -19297/35 What is 335248 divided by -8381...
{ "pile_set_name": "DM Mathematics" }
7 Suppose -20*q - 57*q + 209216 = -21*q. What is the thousands digit of q? 3 Let b = -132 + 136. Suppose 3*d - 17 = -l, 4*l - 41 = -b*d - l. Suppose -d*x - 243 = -p, p - 2*x + 42 = 279. What is the tens digit of p? 3 Suppose 4*i = -4*i + 88. Suppose -340 = -i*j + 7*j. What is the units digit of j? 5 Let l = -40537 - -...
{ "pile_set_name": "DM Mathematics" }
se p*m - 12 = 61*m. Let f be (10*-472)/(-3*m/(-2250)). What is f rounded to the nearest 100000? -600000 Suppose -234*g = 13410415 + 13005845. What is g rounded to the nearest 10000? -110000 Suppose -743*h = -730*h - 873080. What is h rounded to the nearest 1000? 67000 Suppose -2*a = 10, 2*n + 18925 = 3*a + 7122. What i...
{ "pile_set_name": "DM Mathematics" }
- o - 14 = 0 for i. -3 Let h = 5 - 14. Let v(m) = 5*m**3 + 136*m**2 + 26*m - 25. Let w be v(-27). Let b be -1 - w - (-6 + h + 7). Solve -o = 5*x - 24, -28 = -4*x + b*o - 3 for x. 5 Let f be (-3)/(2 - (-14)/(-4)). Let x be (20/85)/(-5 - (-8 - (-98)/34)). Solve 5*q - 30 = -5*v, -q - 8 = -x*q - f*v for q. 4 Let t = 15913 ...
{ "pile_set_name": "DM Mathematics" }
s the remainder when 24 is divided by o? 0 Suppose -u = 3*u. Let m = 210 + -205. What is the remainder when 14 + u/(-2 + 0) is divided by m? 4 Suppose 5*x + 25 = 5*s, s + 4 = -x + 5. Let f(k) = -4*k - 3. What is the remainder when 9 is divided by f(x)? 4 Suppose -5*n + 4*q = -135, 0 = 4*n + q - 102 - 6. Suppose -2 = -2...
{ "pile_set_name": "DM Mathematics" }
t(136)*-1 + sqrt(136)) + sqrt(136))/sqrt(4))/(sqrt(8)/(sqrt(16)/sqrt(4))*-6). -sqrt(17)/6 Simplify (sqrt(7)*-3*2)**2*-1 + -1*(-3*sqrt(448) + sqrt(448)). -252 + 16*sqrt(7) Simplify (sqrt(120)/sqrt(2)*-2 - 4*sqrt(120)/sqrt(2))/(sqrt(300)*-2 + (sqrt(12) - sqrt(24)/sqrt(32))). 24*sqrt(5)/37 Simplify 3 + (sqrt(117) + sqrt(1...
{ "pile_set_name": "DM Mathematics" }
76, 268, 428, 662, 976, 1376, 1868? y**3 + 28*y**2 + y + 146 What is the v'th term of 382, 1295, 2818, 4951, 7694? 305*v**2 - 2*v + 79 What is the o'th term of -9295, -18588, -27877, -37162? 2*o**2 - 9299*o + 2 What is the o'th term of 11246, 22479, 33710, 44939, 56166? -o**2 + 11236*o + 11 What is the w'th term of -28...
{ "pile_set_name": "DM Mathematics" }
Express (-2*l - l + 7 + 2*l + (-7*l - l + 2*l)*(3 + 1 + 0))*(0*l + l - 4*l + (-2 - 2 + 6)*(0*l + 4*l - 3*l)) in the form z*l + n + o*l**2 and give o. 25 Rearrange (104 - 104 - 1088*f + 9954*f)*(3 - 7 - 1) to the form k + c*f and give c. -44330 Rearrange -889 + 310*y - 90*y + 889 + 94*y**3 + 2*y**2 - 91*y**3 to the form...
{ "pile_set_name": "DM Mathematics" }
t are the prime factors of 1656? 2, 3, 23 List the prime factors of 31131. 3, 1153 What are the prime factors of 541? 541 List the prime factors of 816. 2, 3, 17 What are the prime factors of 1127? 7, 23 What are the prime factors of 61499? 89, 691 List the prime factors of 37892. 2, 9473 List the prime factors of 1694...
{ "pile_set_name": "DM Mathematics" }
3, -2/51? -2/51 What is the biggest value in 1, -0.3, 0.3? 1 Which is the biggest value? (a) 1 (b) -26/5 (c) 2/11 (d) -3/4 (e) 10 e Which is the third smallest value? (a) 13/6 (b) 26 (c) 2 (d) -4/7 a What is the second smallest value in 71, -2, 2/27? 2/27 What is the third biggest value in -2/9, 4, 5/4? -2/9 W...
{ "pile_set_name": "DM Mathematics" }
Let z(u) = u**2 - 9*u - 1. Suppose 2*k = 5*w, -31 = -6*k + k - 3*w. Suppose -k*q - 425 = -5*s, -202 = -2*s - 5*q + 3. Suppose s*i - 93*i + 24 = 0. Give z(i). -9 Let z be (0 + 4/(-5))/((-154)/385). Let n(l) = -9 + 6*l - 15*l + z*l**2 + 8*l - l**2. Give n(4). 3 Let a(d) = -12 + 363*d**3 + d - 362*d**3 - 11*d**2 + 15*d. ...
{ "pile_set_name": "DM Mathematics" }
2 Let t be (231/22)/(-7)*4/6. Let r(u) = 12*u + 17. Let z be r(t). Solve 4*i + 1 - z = 0 for i. 1 Let c be (6 - 4 - -5)/(-1). Let d(s) = s**3 + 9*s**2 + 15*s + 8. Let l be d(c). Solve n = -l - 3 for n. -4 Suppose -3*i - l + 55 = -4*i, 3*l = -2*i - 105. Let j = i - -61. Solve 4*u - j = -3 for u. 1 Suppose 2*b + 5*r - 25...
{ "pile_set_name": "DM Mathematics" }
Let x = -69 - s. Let m(u) = 7*u**2 - 8*u + 5. Let b(y) = -3*y**2 + y - 1. Let n(f) = 2*b(f) + m(f). Calculate n(x). 3 Let b(d) be the second derivative of -78 + d + 2/3*d**3 + 3/2*d**2. Give b(7). 31 Let g(o) = -1 + 6 - 4. Let k(x) = 2*x**2 - 6*x + 3. Let m(n) = 3*g(n) + k(n). Let u be (-4)/72*-69 + 7/42. What is m(u)?...
{ "pile_set_name": "DM Mathematics" }
ative of t**6/600 - t**5/150 - t**4/120 + t**3/15 - 3*t**2 + t. Determine b, given that g(b) = 0. -1, 1, 2 Let y = -46 + 46. Factor 3*s**4 - 100*s**5 + 97*s**5 - 3*s**2 + y*s**4 + 3*s**3. -3*s**2*(s - 1)**2*(s + 1) Let i(z) be the second derivative of -z**9/10080 + z**7/336 - z**5/20 - z**4/2 + z. Let l(a) be the third...
{ "pile_set_name": "DM Mathematics" }
et k(g) be the second derivative of -1/3*g**3 + 0 + 1/6*g**4 + 0*g**2 + 3/20*g**5 + 25*g. What is k(-2)? -12 Let u(f) = -7*f + 3. Let w(t) = 29*t - 13. Let p(g) = 9*u(g) + 2*w(g). Let l be 3/((-45)/(-6))*5. Give p(l). -9 Let i(t) = -6*t + 150 - 310 - t**2 + 158. Give i(-5). 3 Let d(j) = -8*j - 3. Let s(z) = -z**2 + 25*...
{ "pile_set_name": "DM Mathematics" }
-25*d = 21*d + 3*d - 3574795. Is d a prime number? False Let h = 1707 + 10554. Suppose h = 3*k + n + 2*n, 2*n + 20428 = 5*k. Suppose 3*b + 2039 = r, -2*r + k = -0*r - 2*b. Is r a composite number? True Let t(y) be the third derivative of -y**4/24 + 5167*y**3/6 + 27*y**2. Is t(0) composite? False Let t(j) = 1242*j + 10 ...
{ "pile_set_name": "DM Mathematics" }
-o**3 + o**2 + 71*o - 36 What is the u'th term of -948, -1898, -2848, -3798, -4748? -950*u + 2 What is the b'th term of 299, 299, 301, 305, 311, 319, 329? b**2 - 3*b + 301 What is the j'th term of 1251, 1255, 1261, 1269, 1279, 1291, 1305? j**2 + j + 1249 What is the o'th term of 873, 1741, 2609, 3477, 4345, 5213? 868*o...
{ "pile_set_name": "DM Mathematics" }
iple of 1900 and 10? 1900 Find the common denominator of 67/120 and -121/90. 360 Calculate the smallest common multiple of 216 and 432. 432 Calculate the least common multiple of 6 and 5. 30 What is the least common multiple of 18 and 78? 234 What is the least common multiple of 273 and 75? 6825 Calculate the lowest co...
{ "pile_set_name": "DM Mathematics" }
- 85 - 7 + 14 - 7 + 0. -s - 85 Collect the terms in -26*k**2 + 5*k**2 + 4*k**2 + 103*k + 6*k**2 + 2*k**2. -9*k**2 + 103*k Collect the terms in 3544 + 3534 + 3528 + 3543 + 3759 - 17908 - 3*c**2. -3*c**2 Collect the terms in -128 - 121 - 116 - 109 + 474 + s**2. s**2 Collect the terms in 2237*k**2 - 886*k**2 + 1830*k**2 ...
{ "pile_set_name": "DM Mathematics" }
ppose 78*r = 76*r. Let f = -27 - -7. What is the remainder when (r - 9*-9)*f/(-30) is divided by 14? 12 Let n(v) = v**3 + 3*v**2 + 3. Let o be n(-3). Suppose 2*i - z - 541 = 0, -2*i = i - o*z - 819. What is the remainder when i is divided by 30? 28 Suppose -3*x - 15 = 0, t + 79 = 5*t - 3*x. Let n = 40 - t. Suppose 25*g...
{ "pile_set_name": "DM Mathematics" }
jlrsmlrmssrrrjrsrrrs? 1/228 What is prob of picking 1 o and 1 h when two letters picked without replacement from huuohuuhuutuutuouhu? 8/171 Two letters picked without replacement from arjrraajjjajjrjaajj. Give prob of picking 2 j. 4/19 Calculate prob of picking 2 q when two letters picked without replacement from kkcq...
{ "pile_set_name": "DM Mathematics" }
213, 1894663 What are the prime factors of 221315132? 2, 55328783 List the prime factors of 162785448. 2, 3, 7, 46141 What are the prime factors of 1318665941? 31, 73, 18797 List the prime factors of 13965650. 2, 5, 37, 7549 List the prime factors of 71606757. 3, 23868919 What are the prime factors of 200726671? 9161, ...
{ "pile_set_name": "DM Mathematics" }
value of 2*2/(-60)*3? -1/5 Calculate ((-4)/(-10))/(234/(-195)). -1/3 Evaluate 5/(-6)*(-1)/(10/3). 1/4 What is the value of (21/(-3)*-1)/(-1)? -7 Evaluate (-1)/((((-5)/(-1))/(-5))/(-2)). -2 Evaluate (4/48*-5)/(30/(-12)). 1/6 What is the value of -6*(-1)/6*-1? -1 What is the value of (2/(-10))/(12/15)? -1/4 Evaluate -12...
{ "pile_set_name": "DM Mathematics" }
lse Let h = 40 - 21. Is h prime? True Suppose -5*o = -2218 - 1192. Suppose 124 = 2*s - o. Is s composite? True Let n = 153 + -72. Suppose 2*r - n = 25. Is r composite? False Suppose 7 - 1 = -3*i. Is 3/(3/i) + 13 a prime number? True Let o(y) = 26*y**2 - y. Let v be o(1). Suppose 128 = 3*t - v. Is t prime? False Let n b...
{ "pile_set_name": "DM Mathematics" }
= 309*u - 3647 for u. 7 Solve -22046 - 3448 = -921*x - 1066 + 7807 for x. 35 Solve -212*g + 765 + 4648 = 537 for g. 23 Solve -69*v - 801 - 2310 = 95*v + 2465 for v. -34 Solve -31*c + c + c - 54*c + 4648 = 0 for c. 56 Solve 8945 = 67*j + 8543 for j. 6 Solve -1686*n + 210*n - 74*n + 141050 = 0 for n. 91 Solve 18*w - 46*w...
{ "pile_set_name": "DM Mathematics" }
t to -24? (a) -1/5 (b) -4/3 (c) 5622 (d) -1 (e) -2 e Which is the closest to -7213? (a) 4 (b) 18/23 (c) -3 c What is the closest to 0.1 in -0.3, -51/4, -0.2, -64, 13? -0.2 Which is the nearest to 0.24? (a) 0.17 (b) -234 (c) 1/2 (d) -1/27 a Which is the nearest to -4/7? (a) -9 (b) 18 (c) 0.31 (d) 2/89 d ...
{ "pile_set_name": "DM Mathematics" }
range -86*x + 59 + 88*x + 2 to v + z*x and give v. 61 Rearrange (2 + 1 + 1)*(-230 - 24*z + 0*z + 227) to j*z + y and give y. -12 Rearrange 4*x - 4*x + x**3 + (-x**3 + 4*x**3 - 2*x**3)*(4 - 5 - 1) + 311*x**3 + 1 - 148*x**3 - 159*x**3 to n*x + q + d*x**2 + j*x**3 and give q. 1 Express ((2*q + 2*q - 3*q)*(-6 - 1 + 3) + (-...
{ "pile_set_name": "DM Mathematics" }
(a) -275829 (b) 0.03 (c) 4 (d) -6 a What is the second biggest value in 0.2, 45.53, -0.1, -231? 0.2 What is the biggest value in -773, 31.7, -2.9? 31.7 What is the biggest value in -123211, 2/347, 1/3? 1/3 What is the second biggest value in -3, 3, -5.971, -0.135? -0.135 What is the biggest value in 2/15, 2148, 0.4...
{ "pile_set_name": "DM Mathematics" }
45*r**5 wrt r. 900*r**3 - 312*r**2 Let z(p) be the third derivative of -2*p**2 - 35/3*p**3 + 0*p**5 - 7/8*p**6 + 0*p**4 + 0*p + 24. What is the derivative of z(c) wrt c? -315*c**2 Let o(b) be the third derivative of -61*b**6/12 - 14*b**5 - 19*b**2 + 203*b. What is the third derivative of o(v) wrt v? -3660 Let t(z) be ...
{ "pile_set_name": "DM Mathematics" }
+ 0*t + 2488208 to the form o + d*t**4 + u*t**3 + c*t + v*t**2 and give o. -1 Rearrange 1338*q - 72*q - 567*q + 323*q + 1419*q to the form b + p*q and give p. 2441 Rearrange 2 - m**3 - 2*m**3 - 58735*m + 56523*m to z + s*m**2 + a*m + y*m**3 and give a. -2212 Express i - 16*i**2 + 9 + i**3 + 23 + i**3 + 0*i**3 as w*i**2...
{ "pile_set_name": "DM Mathematics" }
or t. 0 Solve 0 = 2*k + 8*j - 36, -6*j + 7*j = -2*k + 15 for k. 6 Solve -l - 3*r = 8, -1389*r + 16 = -1393*r for l. 4 Solve 3*r = -s + 40, -326*r + 10 = -325*r - 3*s for r. 13 Solve 3*k + 0*k - 2*p = 28, -3*k + 26 = -p for k. 8 Solve -1939*n + 3*r = -1942*n - 36, -3*n + 3*r = -36 for n. 0 Solve -40*f + 6*f - 504 = -3*c...
{ "pile_set_name": "DM Mathematics" }
out replacement from {g: 1, e: 2, a: 1}? 1/6 Two letters picked without replacement from nzrrirzwnrwnzinnn. Give prob of sequence rw. 1/34 Three letters picked without replacement from zcuceuzuccy. What is prob of sequence ycu? 2/165 What is prob of sequence ktqt when four letters picked without replacement from qqtkqq...
{ "pile_set_name": "DM Mathematics" }
Suppose 5*m + 17 = 3*f, -3*f = 2*f + 4*m + 21. Let v(u) = u**2 + 2*u**2 - 8*u + 10*u + 1. Determine v(f). 2 Let h be 3 + (-2)/(-2) + -1. Let b(g) be the second derivative of -g**4/12 - g**3/3 + 2*g**2 - 5*g. Give b(h). -11 Suppose 0 = 5*y - 2*y - 12. Let q(k) be the third derivative of -k**4/24 - k**3/3 + k**2. What is...
{ "pile_set_name": "DM Mathematics" }
60*v**3 - 105*v**3 + 39*v**3. -6*v**3 Collect the terms in 7*x**3 - x**3 - 1 + 0. 6*x**3 - 1 Collect the terms in -2787 - 920 - y - 494. -y - 4201 Collect the terms in g**2 - 4808989 + 4808989. g**2 Collect the terms in -1690*t - 1683*t + 3378*t. 5*t Collect the terms in 117005 - 117005 - 10*j. -10*j Collect the terms...
{ "pile_set_name": "DM Mathematics" }
from hhthtthhthznhththt. What is prob of picking 2 h? 4/17 Two letters picked without replacement from {d: 1, z: 1, j: 1, p: 2}. What is prob of picking 1 p and 1 j? 1/5 Calculate prob of picking 1 b and 1 s when two letters picked without replacement from vsavvavnabvsvtnnv. 1/68 What is prob of picking 1 l, 1 g, and ...
{ "pile_set_name": "DM Mathematics" }
Is 640901 prime? True Is 10320839 prime? False Is 4470209 a composite number? False Is 4513657 a composite number? True Is 2198381 a composite number? True Is 3177253 a prime number? True Is 2285099 prime? True Is 197480177 prime? False Is 14297317 composite? True Is 11020379 composite? True Is 4517587 a prime number? ...
{ "pile_set_name": "DM Mathematics" }
th term of -4, -11, -18, -25, -32? -7*k + 3 What is the z'th term of 304, 340, 436, 622, 928, 1384? 5*z**3 + z + 298 What is the t'th term of 9, 22, 55, 114, 205, 334, 507, 730? t**3 + 4*t**2 - 6*t + 10 What is the x'th term of 775, 1538, 2301, 3064, 3827, 4590? 763*x + 12 What is the c'th term of 2251, 2263, 2287, 232...
{ "pile_set_name": "DM Mathematics" }
ons digit of 25486225? 2 What is the tens digit of 62960? 6 What is the millions digit of 1998452? 1 What is the thousands digit of 7599622? 9 What is the tens digit of 1494898? 9 What is the hundreds digit of 390434? 4 What is the thousands digit of 61672? 1 What is the hundred thousands digit of 402926? 4 What is the...
{ "pile_set_name": "DM Mathematics" }
/w**(1/14)))**25)**(-3/11) assuming w is positive. w**(-2175/154) Simplify (r*(r**(5/6)*r)/r)/r*r*r**(-2/49)*((r/r**4)/r)/r**(3/2) assuming r is positive. r**(-545/147) Simplify (z*z/z**(-3/5))**(2/3)*(z/z**(-2/3))**26 assuming z is positive. z**(676/15) Simplify ((((j/(j*(j*(j*j**(-1))/j*j)/j*j)*j)/j*j*j)/j*j*j**(-13)...
{ "pile_set_name": "DM Mathematics" }
r when 186 is divided by 57? 15 What is the remainder when 3996 is divided by 87? 81 What is the remainder when 479 is divided by 23? 19 Calculate the remainder when 23 is divided by 16. 7 Calculate the remainder when 2192 is divided by 9. 5 Calculate the remainder when 246 is divided by 82. 0 Calculate the remainder w...
{ "pile_set_name": "DM Mathematics" }
= -182.76562 - 4.37738. Let t = c + 187. Let l = t + 0.23. What is l rounded to two dps? 0.09 Let w(c) = -c - 2. Let s be w(-6). Suppose 3*y = s*o - 20099996, 2*o + 8232634 = -y + 1532632. What is y rounded to the nearest one million? -7000000 Let h = -53.977160048 + 3.977159628. Let w = -50 - h. What is w rounded to s...
{ "pile_set_name": "DM Mathematics" }
mmon factor of 45 and 270. 45 What is the highest common factor of 621 and 333? 9 Calculate the greatest common divisor of 32928 and 28. 28 What is the greatest common factor of 20 and 490? 10 Calculate the highest common divisor of 340 and 200. 20 Calculate the greatest common factor of 2796 and 48. 12 Calculate the g...
{ "pile_set_name": "DM Mathematics" }
13224 is divided by 105. 99 Calculate the remainder when 2058077 is divided by 38. 35 Calculate the remainder when 45662 is divided by 15210. 32 What is the remainder when 70976 is divided by 17743? 4 What is the remainder when 10172 is divided by 1665? 182 Calculate the remainder when 12625 is divided by 96. 49 Calcu...
{ "pile_set_name": "DM Mathematics" }
120220120211? 120220200022 In base 4, what is 1 + 2010123311? 2010123312 In base 7, what is -46451422 + 44? -46451345 In base 5, what is -14233421 + 2031? -14231340 In base 8, what is 6 - 12717? -12711 In base 9, what is -55 + 145531? 145465 In base 5, what is -11042414 + -24411? -11122330 In base 12, what is -2890b28...
{ "pile_set_name": "DM Mathematics" }
c Let x be ((-6)/(-10))/((28/(-35))/4). Let q be 2/(-4) - (-1)/(-2). Let y = 134 - 131. Which is the nearest to q? (a) y (b) x (c) -0.05 c Let g be 2/9 - -1*0/23. Let j = 73.4 + -73. Which is the nearest to 0.1? (a) g (b) 1 (c) -1/4 (d) j a Suppose -5*h - 156 = -3*h - s, -4*s = -h - 92. Let q = h + 382/5. Let n...
{ "pile_set_name": "DM Mathematics" }
6827 = 2*k. List the prime factors of k. 5, 7, 11 Let g(k) = 2*k**3 - 6*k**2 + 5*k - 5. Let f be g(4). Let t(a) = -3*a - f + 19*a + 13*a + 48. List the prime factors of t(2). 59 Let t(x) = x**3 - 12*x**2 - 70*x - 152. List the prime factors of t(21). 2347 Let w(j) = -j**3 + 11*j**2 + 2*j - 15. Let d be w(-7). Let g = 1...
{ "pile_set_name": "DM Mathematics" }
of -23828813, -23828803, -23828793, -23828783? 10*b - 23828823 What is the b'th term of 3673447, 3673446, 3673445, 3673444? -b + 3673448 What is the q'th term of 136664, 136688, 136714, 136742, 136772, 136804, 136838? q**2 + 21*q + 136642 What is the u'th term of 50653, 202384, 455283, 809362, 1264633, 1821108, 2478799...
{ "pile_set_name": "DM Mathematics" }
344? 23405343 In base 2, what is 101110011111111010000 - 100011001? 101110011111010110111 In base 11, what is 1198353a7 - 3? 1198353a4 In base 10, what is 155 + -600718? -600563 In base 12, what is -1001812 - 4? -1001816 In base 11, what is -150 + -10a736? -10a886 In base 8, what is -3 + -62151722? -62151725 In base 2,...
{ "pile_set_name": "DM Mathematics" }
e -1 - f = -2*l. What is the units digit of l? 1 Let y(o) = o**3 + 8*o**2 - o - 6. Let u be 4/6 - (-78)/(-9). What is the units digit of y(u)? 2 Let p be -1 + 0 + 31 + -2. Suppose 0 = -3*f + 2 + p. What is the units digit of f? 0 Let t(l) = -2*l - 10. What is the units digit of t(-9)? 8 Let g(v) = v - 8. Let f be g(11)...
{ "pile_set_name": "DM Mathematics" }
**5/10 - h**4/3 + h**3/3 - h**2/2 - 19*h. Calculate -4*g(r) + 3*j(r). 2*r**3 - 2*r + 1 Let u(d) = -3*d. Let a(v) = -16*v - 1. Suppose 5*c + 10 - 20 = 0. Give c*a(f) - 11*u(f). f - 2 Let u(z) = z. Let s be 6/(-6*2/(-8)). Let o be -1 + 24 + (-7 - -5). Let p = o - 32. Let g(w) = 3*w. What is p*u(l) + s*g(l)? l Let a(u) = ...
{ "pile_set_name": "DM Mathematics" }