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0, u = -5*l + 3*m + m - 8 for l. 0 Let v = -18 - -20. Solve -2*r + 2*a = v, 0 = -2*r - 3*a - 4 - 3 for r. -2 Let m(i) = -i + 14. Let y be m(10). Let a be 2 + y - (-1 - -2). Solve -4*f - 6 = b - 3*f, -a*b + 2 = -3*f for b. -2 Suppose 3*l + 2 = l, l + 1 = 2*j. Suppose -2*o + j*o = -6. Suppose -5 + 16 = -2*i + 5*r, 20 = 5...
{ "pile_set_name": "DM Mathematics" }
cube root of 272754 to the nearest integer? 65 What is the fifth root of 396937 to the nearest integer? 13 What is 1122076 to the power of 1/2, to the nearest integer? 1059 What is 555428 to the power of 1/3, to the nearest integer? 82 What is the cube root of 14896878 to the nearest integer? 246 What is 32994 to the p...
{ "pile_set_name": "DM Mathematics" }
divisor of 21 and 1113? 21 Calculate the highest common factor of 68 and 17. 17 Calculate the highest common factor of 20608 and 805. 161 What is the highest common factor of 1244 and 4? 4 What is the greatest common divisor of 435 and 5? 5 Calculate the highest common divisor of 22 and 1111. 11 What is the greatest co...
{ "pile_set_name": "DM Mathematics" }
+ 22 + 18 + 20 in the form k + i*c and give i. 3308 Rearrange (-3316 + 440*x + 6643 - 3331)*(3 + 2*x**2 - x - 3) to the form p*x + n + o*x**3 + j*x**2 and give p. 4 Rearrange -87*k**2 - 14 - 12 + 27*k**2 + 43*k**2 + 21*k**2 - k**3 to i*k + w*k**2 + f + p*k**3 and give f. -26 Rearrange (-2*y - 1 + 1)*(2 - 5 + 1) + 911*...
{ "pile_set_name": "DM Mathematics" }
t of 281821? 2 What is the hundred thousands digit of 726719? 7 What is the hundred thousands digit of 11079677? 0 What is the ten thousands digit of 67329? 6 What is the thousands digit of 119954? 9 What is the ten millions digit of 27829830? 2 What is the millions digit of 3400923? 3 What is the thousands digit of 32...
{ "pile_set_name": "DM Mathematics" }
o be (-1020)/5*((-6)/(-4) + -2). Let q be -1 + 12/10 - o/(-340). Which is the third biggest value? (a) 2 (b) q (c) w c Let j = 0.59 + 2.41. What is the fourth biggest value in 0, 5, j, 0.06? 0 Let l = -307 - -200. Let g = l - -107.5. Let x = -0.1 - 0.1. Which is the third biggest value? (a) -1/3 (b) g (c) x a Let...
{ "pile_set_name": "DM Mathematics" }
-15*r - 596 = -16*r. Suppose -588 = -l - 2*l + 3*i, -5*i = -3*l + r. Suppose -5*k = -8*k + l. Does 12 divide k? False Let k(h) = 11*h**2 - 12*h - 53. Does 37 divide k(8)? True Suppose -6*h + 8*h = 2220. Let v be (h/(-9))/5*-6. Let w = v - 82. Is 17 a factor of w? False Let i(g) = g**3 - g**2 - 8*g + 2. Let d be i(-8)....
{ "pile_set_name": "DM Mathematics" }
3). Solve -z + t*a - 22 + 1 = 0, 4*z - 1 = 3*a for z. 4 Suppose -3*g - 23 = -5*w, 0 = 3*w + 18*g - 19*g - 17. Solve 7 = 2*n - v, w*v - 7 = -n + 4*v for n. 4 Let c(z) = -4*z**2 - 183*z + 48. Let a be c(-46). Solve -d + 3*k + 2*k - 1 = 0, -a*d = 3*k + 2 for d. -1 Suppose -35*f = 6 - 6. Solve -5*o = 5*m - 20, f = 3*o - m ...
{ "pile_set_name": "DM Mathematics" }
12)/4 + 0 - -4. Let o = 0 - 2. Put o, l, 2 in ascending order. o, l, 2 Let b = 2 - 0. Let o be (-3)/(-6) - (-69)/6. Let u = o + -17. Put b, 4, u in decreasing order. 4, b, u Suppose -14 = -4*z + 2*z. Let c = -12 + z. Sort c, 0, 4 in descending order. 4, 0, c Let y = 0.152 + 0.148. Put 4, y, 0, 2 in decreasing order. 4,...
{ "pile_set_name": "DM Mathematics" }
o 6 decimal places. -0.000001 What is -29654963 rounded to the nearest ten thousand? -29650000 Round 751.69226 to the nearest ten. 750 Round 795098407.1 to the nearest one million. 795000000 Round -38696243.6 to the nearest 100000. -38700000 Round -224071910 to the nearest one million. -224000000 What is 0.0006840677 r...
{ "pile_set_name": "DM Mathematics" }
= -0.2 - z. Round w to 6 dps. 0.000012 Let o be ((-1805452)/(-3) - -1) + 13/(-39). Let w = o + -378818. What is w rounded to the nearest ten thousand? 220000 Let o = 257982.500014 + -257986.5. Let t = 1 + 3. Let g = o + t. Round g to six decimal places. 0.000014 Suppose 9920 = -86*z + 96*z. What is z rounded to the nea...
{ "pile_set_name": "DM Mathematics" }
9 24966 divided by -438 -57 Calculate -67353 divided by 6123. -11 -129189 divided by 2 -129189/2 Calculate -14976 divided by -1152. 13 Divide -686 by 634. -343/317 Calculate 25198 divided by -12599. -2 Calculate 32050 divided by -1282. -25 Divide -2987179 by 4889. -611 Calculate 54240 divided by -3390. -16 Calculate -2...
{ "pile_set_name": "DM Mathematics" }
Let o = 1736 - 8721/5. Calculate the common denominator of o and k. 35 Let g be 3798/344 + 0/2. Let z = g + 52/43. Let a = 2239/630 + -68/35. Find the common denominator of z and a. 36 Let h = -45107/6 - -7539. Suppose 5*m - 1607 = 2*u, 2*u - 5*m = -3*u - 4040. Let s = 8909/11 + u. What is the common denominator of s ...
{ "pile_set_name": "DM Mathematics" }
- -13.9. Let i(k) = -k**3 - 26*k**2 + k + 29. Let d be i(-26). What is the fourth biggest value in 4, 1/18, d, b? b Let c = -23/50 - 1/25. Let t(f) = f**3 + 9*f**2 + 11*f + 20. Let q be t(-8). What is the biggest value in 4, c, q? 4 Let x = -106 + 101. Let u = -219 + 211. Which is the third smallest value? (a) 3/5 (b...
{ "pile_set_name": "DM Mathematics" }
*w**4 + 18*w**3 + 12*w**2 - 72*w - 96 = 0? -4, -2, 2 Factor d**2 - 3*d - 4. (d - 4)*(d + 1) Suppose l**2/2 + 130*l + 8450 = 0. Calculate l. -130 Suppose -5*r**5 + 19*r**4 + 54*r**3 - 130*r**2 + 47*r + 15 = 0. What is r? -3, -1/5, 1, 5 Factor -2*w**3 - 12*w**2 + 74*w - 60. -2*(w - 3)*(w - 1)*(w + 10) Let 4*f**2/7 - 80*f...
{ "pile_set_name": "DM Mathematics" }
- (-27)/(-15)). What is the closest to w in k, 4/5, b? b Let u = -665/3 + 222. What is the nearest to 0.3 in 5, u, 2? u Let v be -6*(-49)/336 + (-1)/(-8). Which is the closest to 5.1? (a) -0.3 (b) -0.4 (c) v c Let j = 2/33 + -80/231. Which is the nearest to -1/11? (a) j (b) 5 (c) -6 a Let y be (-2)/8 + -4*(-492)/...
{ "pile_set_name": "DM Mathematics" }
at is b? -2, 0, 3/5 Factor 8*u + 104 + 2/13*u**2. 2*(u + 26)**2/13 Let a(o) = 4*o**2 - 1. Let p be a(-1). Find c, given that 3 - 23*c**4 + 20*c**4 + 6*c + 3 - 3 - 6*c**p = 0. -1, 1 Factor 56104*z**2 - 248768*z - z**5 + 7*z**5 + 6880*z**3 - 17000*z**2 + 296*z**4 - 2*z**5 + 143902 + 137314. 4*(z - 2)**2*(z + 26)**3 Suppo...
{ "pile_set_name": "DM Mathematics" }
places. -0.000028 What is 86120000 rounded to the nearest one million? 86000000 Round -0.021213 to 4 decimal places. -0.0212 What is -8068 rounded to the nearest 100? -8100 Round -15.093 to 1 decimal place. -15.1 Round -485590 to the nearest ten thousand. -490000 Round 5.993 to 1 dp. 6 What is 20.3797 rounded to 1 deci...
{ "pile_set_name": "DM Mathematics" }
ulate w(j). 4 Let w be (-6)/((20/(-6))/(-5)). Let i(l) = l**2 - 5*l + 1. Let c(h) = -4*h**2 + 20*h - 3. Let m(d) = w*i(d) - 2*c(d). What is m(2)? 3 Suppose q = 3*q + g - 7, -q - 5*g - 1 = 0. Suppose -7 = q*n - 23. Let s(d) = 0 + d**3 + 3*d + n*d**2 - d + 3. Give s(-4). -5 Suppose 5*h - 12 = 3. Suppose -2*s - 2 = a - 6*...
{ "pile_set_name": "DM Mathematics" }
= 11*a(m) + 2*w(m). Determine h(6). 3 Let i = -6 + 9. Suppose 15 = 8*k - i*k. Let q(t) = t + 8*t**k - 7 + 14 - 8. What is q(1)? 8 Let x = -4 - -6. Let m(h) be the second derivative of 2*h + 1/6*h**3 + 3*h**x + 0. Determine m(-5). 1 Let p(l) = l**3 - l + 1. Suppose -5*r + 13 + 22 = 0. Suppose 0 = -4*z - 3*c + r - 1, 4 =...
{ "pile_set_name": "DM Mathematics" }
+ 631. Determine k(-1). -492 Let r(v) = -v**2 - 433*v - 23314. What is r(-63)? -4 Let y(t) = 14*t**2 + 66*t + 50. Determine y(-4). 10 Let y(s) = -3*s**2 + 2704*s - 16140. Calculate y(6). -24 Let y(r) = -r**3 + 151*r**2 + 6959*r + 107. Calculate y(-37). -4 Let v(c) = -10926*c + 251303. Give v(23). 5 Let c(y) = -494*y - ...
{ "pile_set_name": "DM Mathematics" }
. What is the second derivative of d(i) wrt i? 1032*i**2 Let k(f) be the third derivative of f**7/210 + 19*f**5/15 + 10*f**3/3 - 44*f**2 - f. What is the derivative of k(p) wrt p? 4*p**3 + 152*p Let g = 49 - 47. Differentiate g*t + t - 6*t - 2*t - 16 wrt t. -5 Let r(y) be the second derivative of 17*y**6/30 - y**5/5 - ...
{ "pile_set_name": "DM Mathematics" }
2}. Give prob of picking 1 c, 1 l, and 1 d. 1/34 What is prob of picking 2 a when two letters picked without replacement from uaaaauuaaauuauaauaa? 22/57 Three letters picked without replacement from {u: 4, v: 3, e: 1, x: 2, h: 4, k: 1}. What is prob of picking 1 v, 1 h, and 1 e? 12/455 What is prob of picking 1 w and ...
{ "pile_set_name": "DM Mathematics" }
(-500)). Is s/(4 + 7/(-2)) a multiple of 10? True Does 9 divide (-2)/1 + 67 + -4? False Let u(p) = -p**2 + 16*p + 3. Let z(f) = f**2 - 16*f - 3. Let c(n) = 7*u(n) + 6*z(n). Is c(11) a multiple of 17? False Suppose -o - 6 + 1 = 0, -5*o - 29 = 2*x. Does 26 divide 4/(-2)*(x/1 - 11)? True Is 6 a factor of ((-9)/2 + -1)/(16...
{ "pile_set_name": "DM Mathematics" }
+ 13356) Solve -4*d**4 + 16112*d**3 - 23515776*d**2 + 14886669888*d - 3470215725504 = 0. 822, 1562 Factor -2*n**3 + 796*n**2 + 2075686*n. -2*n*(n - 1237)*(n + 839) Determine g, given that -g**3/6 - 589*g**2 - 1284544*g/3 + 1722160 = 0. -2508, -1030, 4 What is b in -25*b**3 - 2106435*b**2 - 2948970*b - 842560 = 0? -842...
{ "pile_set_name": "DM Mathematics" }
prime number? False Is 17893119 a prime number? False Is 1214841997 composite? False Is 612439 a prime number? True Is 22951361 a composite number? False Is 57440351 a prime number? True Is 49417541 prime? False Is 49103 prime? True Is 7166447 composite? False Is 2516603 a prime number? True Is 66881341 a composite num...
{ "pile_set_name": "DM Mathematics" }
(b) 3/5 (c) 2/3 a Which is the nearest to 2/3? (a) -0.01 (b) -1/2 (c) 1 c What is the closest to 1 in 39, 5, -1/3? -1/3 Which is the closest to -1/3? (a) -0.6 (b) 0.4 (c) -464/5 a What is the closest to -3/23 in 4/3, -3/2, -0.1? -0.1 Which is the nearest to -2/7? (a) 1 (b) -1/3 (c) 127 b Which is the nearest ...
{ "pile_set_name": "DM Mathematics" }
ond derivative of 5465437*c**2*z - 630112*c*z + 2*c + z wrt c? 10930874*z What is the second derivative of 42709*o**2*x**2 - o**2*x + 2*o + 2637138*x**2 wrt o? 85418*x**2 - 2*x Find the second derivative of -461933987*x**2 + 9917*x + 7275 wrt x. -923867974 Find the third derivative of 1142*k**3*s + 583*k**3 - 426*k**2*...
{ "pile_set_name": "DM Mathematics" }
206 What is 103280 to the power of 1/8, to the nearest integer? 4 What is 1350177 to the power of 1/2, to the nearest integer? 1162 What is 19576996 to the power of 1/10, to the nearest integer? 5 What is 10864098 to the power of 1/9, to the nearest integer? 6 What is the square root of 14987040 to the nearest integer...
{ "pile_set_name": "DM Mathematics" }
a) = -a**3 + 39*a**2 + 4*a - 127. Determine w(39). 29 Let b(o) = 1334*o + 13358. Calculate b(-10). 18 Let i(j) = -8*j**2 - 135*j - 835. Determine i(-7). -282 Let l(f) = 3*f**3 + 48*f**2 + 8*f + 132. Determine l(-16). 4 Let l(c) = 3*c**3 + 32*c**2 + 89*c + 16. Determine l(-6). -14 Let o(r) = 15359*r + 322541. Calculate ...
{ "pile_set_name": "DM Mathematics" }
d(175). -6 Let n(v) = -v**2 - 2029*v + 5. Calculate n(0). 5 Let f(m) = 5287*m + 956916. Determine f(-181). -31 Let l(z) = 17*z**3 - 1617*z**2 + 231*z - 4411. What is l(95)? -516 Let i(v) = 532*v + 22275. Calculate i(-42). -69 Let s(g) = -333*g + 785. Determine s(-2). 1451 Let g(k) = -k**3 + 50*k**2 + 8477*k + 92806. Gi...
{ "pile_set_name": "DM Mathematics" }
common denominator of -6 and l. 11 Suppose 9*q = 4*q + 5*w + 40, -2*w - 25 = -3*q. Let i = -30 - -43. Let n = i - 7. What is the lowest common multiple of n and q? 18 Let u = -2 - -1. Find the common denominator of (-52)/(-20) + -2 - -2 and 429/18 + 1 + u. 30 Let p = 4/157 - 1904/785. What is the common denominator of ...
{ "pile_set_name": "DM Mathematics" }
of 487717 to the nearest integer? 79 What is 14730714 to the power of 1/8, to the nearest integer? 8 What is 343688 to the power of 1/3, to the nearest integer? 70 What is the fifth root of 401987 to the nearest integer? 13 What is 753324 to the power of 1/3, to the nearest integer? 91 What is 7636460 to the power of 1...
{ "pile_set_name": "DM Mathematics" }
positive. r**5 Simplify ((l/((l*l*(l**(2/7)*l)/l)/l)*l**(-5))/((l/(l*l/(l*l**(-2/17)*l)))/(((l/(l/(l/((l**(1/3)*l*l*l)/l))))/l*l)/l)))**(1/27) assuming l is positive. l**(-3035/9639) Simplify (a/(a*a**(-6)/a*a))/a**(-1/12)*(a**6)**18 assuming a is positive. a**(1369/12) Simplify (j**(1/4)/j*j)**(3/4)*(j*j**(-11)*j)/(j...
{ "pile_set_name": "DM Mathematics" }
5*g + 10, -g + 6 = -3*k + 25. Is 7 a factor of k? True Is -2*5/(-85) - (-440)/17 a multiple of 2? True Let y = 7 + 1133. Does 5 divide y? True Let q = -71 - 25. Is (-1)/(q/92 + 1) a multiple of 3? False Let h be 6 + 6*6/(-12). Let a(i) = 2*i**2 - i. Let x be a(2). Suppose 4*d = 2*s + 48, x*d = 3*d - h*s + 36. Is d a mu...
{ "pile_set_name": "DM Mathematics" }
-48 Evaluate -1*((-90)/12)/(-5)*280/(-1470). 2/7 Evaluate (-8806)/(-204)*4/(-7) - (-2)/(-42)*7. -25 What is 360/(-20) + -1 + (-31929)/(-1682)? -1/58 What is the value of (-21333)/8205*5/455? -1/35 Calculate (-25)/(-15)*182262/(-4105). -74 What is (-2340)/(-3300) - (7 + -8 - (-4)/5)? 10/11 Calculate 1232/(-4)*(-466)/25...
{ "pile_set_name": "DM Mathematics" }
ose h*q = -0*q. Does q = z? False Let j be (-3)/12*50*(-10)/25. Suppose -6*s = -j*s - 2, -q + 4*s - 8 = 0. Let c = -8 - 2. Which is smaller: c or q? c Let l(g) = 124*g - 3542. Let n be l(34). Which is greater: 676 or n? 676 Suppose -5*p = -3*o + 1, -9*o + 14*o - 13 = -3*p. Which is greater: 326.8 or p? 326.8 Let q = 81...
{ "pile_set_name": "DM Mathematics" }
nd the second derivative of -5818202*h**5 + 1864268*h wrt h. -116364040*h**3 What is the first derivative of 11*c**3*z + 3080*c**2 - c*z**2 - c*z + 62773*z**2 - z + 3 wrt c? 33*c**2*z + 6160*c - z**2 - z Differentiate -558182*v - 81323. -558182 What is the first derivative of 35989*n**2 + 54078 wrt n? 71978*n Different...
{ "pile_set_name": "DM Mathematics" }
+ 1 Collect the terms in 2201212*m - 552008*m + 8*m**2 + 3*m**2. 11*m**2 + 1649204*m Collect the terms in 34602*v + 23711*v - 1 - 4182*v. 54131*v - 1 Collect the terms in -10*u**3 + 22887748 - 22887748. -10*u**3 Collect the terms in 192 - 1387 - 28*g**3 + 14*g**3 - g + 166 - 1098. -14*g**3 - g - 2127 Collect the terms ...
{ "pile_set_name": "DM Mathematics" }
se Let p be 52/(-8) - 2/(-4). Let o(j) = -j**3 + 26*j**2 - 27*j + 50. Let y be o(25). Is ((-3)/p + y)/(5/840) a multiple of 12? True Let s(i) = 8371*i**2 + 14*i - 15. Is 9 a factor of s(1)? True Let n be 28/6 - (-4)/(-6). Let k be (27/(-6) + n)*0. Suppose k*h + 40 = h. Is h a multiple of 10? True Suppose 5*v + 112*j = ...
{ "pile_set_name": "DM Mathematics" }
tor of 44435? False Is 4190 a multiple of 5? True Is 57984 a multiple of 192? True Is 45253 a multiple of 3? False Is 20 a factor of 38809? False Is 5998630 a multiple of 46? True Does 21 divide 109136? False Does 6 divide 14321473? False Does 26 divide 71204? False Is 1733399 a multiple of 13? False Is 968730 a multip...
{ "pile_set_name": "DM Mathematics" }
ided by 81? 46 What is the remainder when 1734 is divided by 33? 18 What is the remainder when 102 is divided by 23? 10 Calculate the remainder when 111 is divided by 102. 9 What is the remainder when 32 is divided by 14? 4 Calculate the remainder when 490 is divided by 10. 0 What is the remainder when 4547 is divided ...
{ "pile_set_name": "DM Mathematics" }
s are there between 3:51 AM and 5:07 AM? 76 What is 667 minutes after 2:58 AM? 2:05 PM How many minutes are there between 11:55 AM and 3:10 PM? 195 What is 719 minutes before 9:28 PM? 9:29 AM How many minutes are there between 12:41 AM and 12:23 PM? 702 How many minutes are there between 9:20 PM and 9:22 PM? 2 How many...
{ "pile_set_name": "DM Mathematics" }
from {a: 2, z: 2, f: 1, b: 2, p: 11, c: 1}. Give prob of picking 1 p and 1 c. 11/171 Two letters picked without replacement from klokockccckokk. Give prob of picking 1 l and 1 c. 4/91 Calculate prob of picking 2 i and 1 d when three letters picked without replacement from ifddgzpgi. 1/42 Four letters picked without rep...
{ "pile_set_name": "DM Mathematics" }
ivative of -3/5*l**2 + 8/5*l - 17 - y*l**3. Determine u, given that f(u) = 0. -4, 1 Let z(m) be the third derivative of m**8/10080 + m**7/1260 - m**5/4 - m**3/3 + m**2 + 21. Let s(o) be the third derivative of z(o). Suppose s(h) = 0. What is h? -2, 0 Suppose -5*u = -3*u + g - 11, 4*u = 4*g + 4. Let o(h) be the first de...
{ "pile_set_name": "DM Mathematics" }
(-40) -6 (-8538)/(-258986)*(15 - 2) 3/7 What is the value of 1730/(-2790) - (9/1116)/(19/(-152))? -5/9 Calculate 9/(1575/295) - (-98)/(-70). 2/7 What is the value of (-3990)/39672*(6 + -2) + -5 + (-147)/(-29)? -1/3 What is the value of (2 - (23 + -7 + 25/(-5))) + (-274)/(-30)? 2/15 Calculate (-1*(-2)/(-4))/(10 - 34000/...
{ "pile_set_name": "DM Mathematics" }
d by 266 -161 What is -60183 divided by -20061? 3 Divide 6 by 304882. 3/152441 Calculate 46 divided by -85900. -23/42950 What is 2 divided by -42837? -2/42837 Calculate -166644 divided by 27774. -6 What is 45070 divided by 5? 9014 What is 1432284 divided by -12? -119357 Divide 176 by -658. -88/329 What is 624224 divide...
{ "pile_set_name": "DM Mathematics" }
y + 233*y = -104*y - 5994 for y. -9 Solve 1260 = 1018*x - 1102*x for x. -15 Solve 106*i = 9*i + 50*i - 1269 for i. -27 Solve 163 = 48*x - 315 - 242 for x. 15 Solve -2132 + 215 = -71*z for z. 27 Solve 291 - 1026 = -17*i - 18*i for i. 21 Solve 81*h + 550 = 226 for h. -4 Solve 422 + 323 + 535 = -256*s for s. -5 Solve 287*...
{ "pile_set_name": "DM Mathematics" }
-1 (d) 10 b What is the second smallest value in -9, 7/8, 4, -1/5, -3? -3 Which is the second biggest value? (a) 4 (b) 6 (c) 36 b What is the smallest value in 37, -13, 1/2, -2/9? -13 Which is the third biggest value? (a) -7 (b) -5 (c) 1 a What is the third smallest value in -3/7, 27, -0.15? 27 Which is the sma...
{ "pile_set_name": "DM Mathematics" }
73. Is i(b) prime? False Let a(s) = -s**2 + 12*s + 18. Let n be a(13). Let c(x) = 66*x**2 - x + 2. Let q be c(-2). Suppose 0*l - 4*m = -3*l + 899, -l + q = n*m. Is l composite? False Let v(a) = 1458*a**2 + 13*a - 12. Let t(u) = -5*u + 6. Let z be t(1). Is v(z) prime? True Let q = 96297 - 45028. Is q a prime number? Fa...
{ "pile_set_name": "DM Mathematics" }
38 rounded to seven decimal places? 0.0000024 Round 0.2001 to 2 dps. 0.2 What is -0.05515 rounded to four decimal places? -0.0552 What is -0.00076188 rounded to 6 dps? -0.000762 What is 754.64 rounded to the nearest one hundred? 800 Round 0.00016 to 4 dps. 0.0002 What is 0.00007716 rounded to six dps? 0.000077 Round 0....
{ "pile_set_name": "DM Mathematics" }
*a**3 - 4*a**2. Let u(m) be the second derivative of h(m). Factor u(r). -2*(r + 1)*(r + 3)/11 Let j be (-36)/(-39) + 912/(-988). Let -3/4*g**4 + 3/4*g**3 + 1/4*g**5 + 0 + j*g - 1/4*g**2 = 0. What is g? 0, 1 Let h be 1*(1*(0 + 0))/1. Let r(m) be the second derivative of 3*m - 1/5*m**5 + h + 0*m**3 - 1/12*m**4 + 0*m**2. ...
{ "pile_set_name": "DM Mathematics" }
)/5 + 24))? 4/31 What is the value of (19652/850 - 23) + (-4340)/750? -17/3 What is 10/7 + (-5410)/(-525) + 259 + -271? -4/15 Evaluate (52/(-156))/(-2*(-16)/12*(-3)/(-18)). -3/4 What is the value of (-165)/(-450) - 3*(-2)/(-12) - 6968/(-54210)? -2/417 1176/(-15) + (33024/(-480))/(-172) -78 Evaluate (2/12*216/27)/(1904/...
{ "pile_set_name": "DM Mathematics" }
*x**2 + x**2 - 1 + 0 + 3*x. List the prime factors of i(-2). 2 Let c be (-18)/8*(-392)/21. Let a = c - 25. What are the prime factors of a? 17 Let q be (-3 - (0 + -2)) + 3. Suppose -4*n = -3*w - 30, 0*n = -2*w + q*n - 18. Let o(j) = -2*j + 5. What are the prime factors of o(w)? 17 List the prime factors of 3/15 + (-102...
{ "pile_set_name": "DM Mathematics" }
2 - q**2). -30*q**5 Expand (-45*r**2 - 9*r**3 + 45*r**2)*(-4*r + 309 + 6*r - 326 - 5*r + 3*r + 0*r - 2*r + 5*r - r + (3 + 0 - 2)*(-r + 0 + 0)). -9*r**4 + 153*r**3 Expand (-1190*k + 1188*k + 1 - 14)*(-17 - 7 - 5). 58*k + 377 Expand 2*f**3 + 2*f**3 - 6*f**3 + (3*f**2 + 3*f**2 - 5*f**2)*(-f + 3 - 3) - 16 - 21 + 35 - 26*f*...
{ "pile_set_name": "DM Mathematics" }
3*u + 10 = -2*u. Let a(l) = -5*l**3 - l**2 + 2*l. Let o be a(u). Let d = -48 + o. Is d greater than or equal to -15? False Let m = 18969 - 42433651/2237. Is 0 > m? False Let b = -10492631/24 - -437042. Let k = -151 - b. Which is smaller: k or 0? k Let c(k) = k**3 - 4*k**2 + k + 2. Let x be c(4). Suppose 5*w + d = -44, ...
{ "pile_set_name": "DM Mathematics" }
(a) 1/3 (b) -12212 (c) 0.5 (d) -4/5 c Which is the closest to 0.2? (a) -0.3 (b) 3 (c) 4 (d) -3/4 a Which is the nearest to 1? (a) -0.012 (b) -3/4 (c) -5 a Which is the closest to -0.1? (a) 2/5 (b) 0.01 (c) -491 b Which is the closest to 0.2? (a) -5 (b) 10 (c) -0.2 c What is the closest to 4 in 0.2, 3,...
{ "pile_set_name": "DM Mathematics" }
+ 1))*(0*x + 0*x + 2*x**2). -12*x**3 Expand 2*j - 5*j - 2*j + (1 + 1 - 1)*(-j - 1 + 1). -6*j Expand (-5*g + g + 2*g)*(2*g + 2*g - 6 - 2). -8*g**2 + 16*g Expand (4 + 1 - 1 + (3 + 0 - 5)*(-1 + 0 - 1))*(-2*u**2 - u**2 + 2*u**2). -8*u**2 Expand 13*i**4 - 8*i**2 + 8*i**2 + (1 + i**2 - 1)*(4*i**2 - 3*i**2 - 3*i**2) + 0*i**4 ...
{ "pile_set_name": "DM Mathematics" }
n three letters picked without replacement from qmqqqmqmqqmmmqqmmqm? 28/323 What is prob of sequence xk when two letters picked without replacement from {t: 1, k: 2, e: 1, i: 1, p: 1, x: 2}? 1/14 Calculate prob of sequence ttvv when four letters picked without replacement from {j: 1, w: 2, t: 2, i: 3, v: 4}. 1/495 Calc...
{ "pile_set_name": "DM Mathematics" }
common denominator of (-2)/((-48)/t) - -2 and -50. 8 Let a(l) = -l**3 - 9*l**2 - 7*l + 16. What is the smallest common multiple of a(-8) and 16? 16 Let v(b) = -4*b**2 + 34*b - 58. Suppose -p = -5*m - 19, -2*m - 3*m = 5*p - 35. Calculate the least common multiple of p and v(6). 18 Suppose 3*a = -2 + 11. Suppose 3*n = f...
{ "pile_set_name": "DM Mathematics" }
st to 1850? (a) -1 (b) 0.1 (c) 4 c What is the nearest to -0.6 in -14, -4, 2/7? 2/7 What is the nearest to -1 in 3, 2/9, -31, -2/7? -2/7 Which is the closest to 2? (a) -2 (b) 0.3 (c) -72 b What is the closest to 13 in -15, -3, -1, -0.3? -0.3 Which is the nearest to -2/7? (a) 0.8 (b) 2 (c) 0.2 (d) 0.1 d What i...
{ "pile_set_name": "DM Mathematics" }
second derivative of 1611*o**2 - 790*o wrt o? 3222 Find the third derivative of -669*l**4 + 2*l**2 - 159 wrt l. -16056*l Differentiate 20*f**3*y + 205*f**3 - 6*f*y with respect to y. 20*f**3 - 6*f Differentiate 55*h**4 + 247 wrt h. 220*h**3 Find the second derivative of -4032*y**2 - 2093*y - 2. -8064 What is the deriva...
{ "pile_set_name": "DM Mathematics" }
-2 - (4 + -5). Let d = 11 + 8. What is the highest common divisor of n and d? 19 Let d(i) = i - 8. Let r be d(12). Let c = -4 + 8. Suppose -2*g = u - 22, 0 = -c*u + u + 4*g + 56. What is the highest common divisor of u and r? 4 Suppose -4*t = r - 90, r + 1 = t - 19. What is the highest common factor of 99 and t? 11 Su...
{ "pile_set_name": "DM Mathematics" }
rd derivative of -17*v**2 - 148 - 29*v**i + 148 wrt v? -696*v Suppose -19 = -4*i - 7. Find the first derivative of -9 + q**i - 8*q**3 - 6 wrt q. -21*q**2 Find the second derivative of -48*x - 78*x**2 - 29*x + 131*x wrt x. -156 Suppose 2*a - 5 = -h, h + 7 = 4*a - 12. Let v(w) be the first derivative of 1/5*w**5 - 2 - 7*...
{ "pile_set_name": "DM Mathematics" }
common denominator of -17/893574 and -143/16030176? 528995808 Calculate the least common multiple of 5 and 14991. 74955 Find the common denominator of -109/322586 and -35/2046. 967758 Calculate the lowest common multiple of 3805111 and 589722. 159814662 What is the lowest common multiple of 529 and 1763617? 40563191 C...
{ "pile_set_name": "DM Mathematics" }
2 Collect the terms in -5*z**3 - 5*z**3 + 15*z**3. 5*z**3 Collect the terms in -8 + 41 - 16 + 4*h - 17. 4*h Collect the terms in -113*c + 2 + 109*c - 2. -4*c Collect the terms in 2*z + 6*z + 11*z. 19*z Collect the terms in -7*y**2 + 21*y**2 - 27*y**2. -13*y**2 Collect the terms in -21 + 7 + 14 + 2*o**3. 2*o**3 Collect ...
{ "pile_set_name": "DM Mathematics" }
composite number? False Let c = 1 - 0. Suppose 2*x + 38 + c = -3*u, -4*x - u - 73 = 0. Is (3 + x)*39/(-9) prime? False Suppose 7 + 3 = -2*k. Let c = -7 - k. Is (-24)/(-3) + -3 - c a prime number? True Suppose u = -u + 7896. Let q be 1/4 - u/(-16). Suppose -2*y - l + q = -66, 2*l + 316 = 2*y. Is y a composite number? F...
{ "pile_set_name": "DM Mathematics" }
r letters picked without replacement from lalatlljcltjn. 1/4290 Three letters picked without replacement from {d: 10, l: 5, p: 4}. Give prob of sequence ldl. 100/2907 What is prob of sequence jj when two letters picked without replacement from {i: 3, e: 1, j: 2, r: 4, s: 7}? 1/136 Two letters picked without replacement...
{ "pile_set_name": "DM Mathematics" }
s be j(-12). Round s to the nearest one million. 25000000 Let n = -19 - -19.04. Let c = 0.0403 - n. Round c to three dps. 0 Let i be (-88)/(-3*3/900). Round i to the nearest 1000. 9000 Let q = -0.1731 - -0.162. What is q rounded to three dps? -0.011 Suppose -4 = -2*f - 2. Let l be 0/(-7) + (f - 391). Let y be (l/8)/(6...
{ "pile_set_name": "DM Mathematics" }
1 Let n be -1*(-2)/(-6)*-3*13. Solve p = 3*w - 5, -5*p - 12 = w + n for w. 0 Let x be (1 - 3) + (14 - -3). Suppose -4*q = -0*a + 3*a - 9, 0 = 5*a - x. Suppose q - 6 = -2*u. Solve 2*n = o + 6, -u*o + 2*n - n = 3 for o. 0 Let q be (6/(-18))/((-2)/30). Solve -24 - 2 = 4*d + 3*t, q*d + 23 = t for d. -5 Let j be 5 - (-9)/3 ...
{ "pile_set_name": "DM Mathematics" }
+ 12. Let t be x(5). Let j(z) = z**3 - 2*z**2 - 5*z + 2. Let b be j(3). Is (t/42)/(b/(-42)) a composite number? True Suppose -9*c - p = -12*c + 1906, 3*p = c - 638. Is c prime? False Let c(j) = 2*j**3 + j**2 + 4*j - 3. Let d be c(2). Let p = d + -21. Suppose -p = -2*w, 3*w - 214 + 20 = -4*v. Is v a prime number? True L...
{ "pile_set_name": "DM Mathematics" }
of 9147, 18253, 27359, 36465? 9106*l + 41 What is the j'th term of -225, -410, -555, -666, -749, -810? -j**3 + 26*j**2 - 256*j + 6 What is the a'th term of 46842, 187365, 421570, 749457, 1171026, 1686277? 46841*a**2 + 1 What is the r'th term of 2960, 5108, 7256, 9404, 11552, 13700? 2148*r + 812 What is the i'th term o...
{ "pile_set_name": "DM Mathematics" }
ed by 62? 57 Let y = 60 - 29. Suppose -620*d - 58788 = -896*d. What is the remainder when d is divided by y? 27 Suppose 53*a + 6160 = 123*a. Calculate the remainder when 257 is divided by a. 81 What is the remainder when ((-258)/8)/((-2)/16) is divided by 30/(-17)*6290/(-555)? 18 Let t = 5827 + -5807. What is the remai...
{ "pile_set_name": "DM Mathematics" }
). -14 Let i(u) = 11*u + 3. What is i(-2)? -19 Let h(t) = -t**3 - 24*t**2 - 28*t - 115. What is h(-23)? 0 Let n(y) = 5*y**3 - 3*y**2 - y. Calculate n(-1). -7 Let l(p) = p**2 + 10*p - 22. What is l(2)? 2 Let d(t) = 2*t - 32. What is d(-5)? -42 Let d(f) = 3*f**3 - 2*f + 1. Give d(-1). 0 Let i(s) = -s**3 + 8*s**2 - 30*s +...
{ "pile_set_name": "DM Mathematics" }
a) -18 (b) 12/13 (c) -11/3 (d) 154 b Which is the second smallest value? (a) -0.23 (b) 253/6 (c) -0.259 (d) -0.3 (e) -3/7 d What is the second biggest value in -13/136, -0.5, 0.4, 6, 1244? 6 Which is the third smallest value? (a) 5/6 (b) -1 (c) -0.16 (d) -0.4 (e) -33/16 (f) -13 b Which is the fourth small...
{ "pile_set_name": "DM Mathematics" }
+ t**2 + 1 - 1. -48*t**2 Expand (2*r**2 - r**3 - 2*r**2)*(-8*r + 7*r - 5*r). 6*r**4 Expand 3*s - 3*s - s - s + 0*s - s + (-2 - 2*s + 2)*(-1 - 4 + 3) + 7*s - 3*s - 2*s - 38*s - 2 + 36*s + 1. s - 1 Expand (0 + 3 - 2)*(-1 + 0 - 1)*(0 + 2 + 2*b - 1). -4*b - 2 Expand -m**2 + 0*m + 0*m + (1 + 2*m - 1)*(m + 0*m + m). 3*m**2 E...
{ "pile_set_name": "DM Mathematics" }
es -127 -127 Calculate -7*-1.1. 7.7 -7 * -110 770 -0.023 * 0.4 -0.0092 Product of 2.4 and 0.006. 0.0144 Product of 13 and 0.0188. 0.2444 Work out 0.2 * 0.198. 0.0396 1.08*2 2.16 What is the product of 156 and 3.6? 561.6 -0.053 times -173 9.169 What is the product of -6.3 and -0.6? 3.78 Calculate 0*139. 0 5 * 54 270 Wor...
{ "pile_set_name": "DM Mathematics" }
integer? 28 What is 30106 to the power of 1/2, to the nearest integer? 174 What is the fifth root of 1785 to the nearest integer? 4 What is 8499 to the power of 1/3, to the nearest integer? 20 What is the cube root of 83634 to the nearest integer? 44 What is the eighth root of 450 to the nearest integer? 2 What is the...
{ "pile_set_name": "DM Mathematics" }
Suppose -5*y + 0*y = -t. Solve 2*p - y = 4*p for p. -3 Suppose 5*i - 4*u - 32 = 3*i, 3*u = 5*i - 94. Solve 7*m = 2*m - i for m. -4 Let f = -1 + 5. Let m be f/14 - 515/(-35). Solve m = 2*b + 3*b for b. 3 Suppose 0 = -2*a - 5*i - 4, -3*a = 4*i - 0 - 1. Solve -a*p = 2*p + 5 for p. -1 Suppose -3*i - 2*x - 4 = 2, -5*x - 15...
{ "pile_set_name": "DM Mathematics" }
rue Is 39960311 composite? False Is 9171445603 a composite number? False Is 665881409 composite? False Is 522122129 a prime number? False Is 82799183 a composite number? True Is 791510267 prime? True Is 6217161869 prime? True Is 18911620877 prime? False Is 25316462863 a prime number? True Is 2177449657 a composite numb...
{ "pile_set_name": "DM Mathematics" }
ll. 1/2 Four letters picked without replacement from htyvurruyutrt. What is prob of picking 1 h and 3 u? 1/715 What is prob of picking 3 b and 1 d when four letters picked without replacement from {b: 19, d: 1}? 1/5 What is prob of picking 3 s when three letters picked without replacement from {i: 1, s: 5, n: 5, a: 1}?...
{ "pile_set_name": "DM Mathematics" }
-2*i - 5*n + 1411, n + 6438 = 3*i. Let z be 20/28 - 1 - i/(-14). Calculate the highest common divisor of z and 17. 17 Let l be ((-3510)/50)/((-1)/(-5)). Let y = 536 + l. Let j = y - 131. Calculate the highest common factor of 36 and j. 18 Suppose 4*y + y + 44 = 2*j, 3*y = 0. Suppose 0 = -f + 23 + j. What is the highest...
{ "pile_set_name": "DM Mathematics" }
. List the prime factors of n. 17 Suppose 0 = -3*n + 5*n. Suppose n = -t + 11 + 2. What are the prime factors of t? 13 Suppose -5*l - r + 332 = 2*r, -3*l + 184 = -2*r. What are the prime factors of l? 2 Suppose 129 = 5*i - 481. What are the prime factors of i? 2, 61 Suppose -g + 3*g = 76. Suppose 5*h + 4*y - g = 0, 5*y...
{ "pile_set_name": "DM Mathematics" }
closest to -3? (a) -2/1133 (b) -2/11 (c) 0 b What is the closest to 195 in -14, 4, -0.34? 4 What is the nearest to -7 in -10, 4/3, -2/3? -10 Which is the nearest to 0.039? (a) 0.4 (b) -0.7 (c) 1 (d) 0 d What is the nearest to 3.7 in 7, -5, -25? 7 Which is the nearest to -1.8? (a) -0.9 (b) -2 (c) 1 (d) 2 (e...
{ "pile_set_name": "DM Mathematics" }
common divisor of 32766 and 1194282. 258 Calculate the highest common factor of 2716 and 28058996. 2716 What is the greatest common factor of 1030005 and 399735? 2115 Calculate the greatest common divisor of 2 and 124834634. 2 What is the highest common factor of 480812677 and 92? 23 Calculate the greatest common divis...
{ "pile_set_name": "DM Mathematics" }
6 = 2*p for p. 4 Suppose -4*v = -11 - 45. Let u(a) = -a**2 + 14. Let r be u(3). Solve -r*d - v = 1 for d. -3 Let o(h) = h - 1. Let v be o(-4). Let x be -2 + (-24)/9*3. Let n be (-14)/v + (-2)/x. Solve -l + n = 5 for l. -2 Suppose 3*d + 17 = 5. Let p = d - -6. Let m = -376 - -379. Solve -5*f + p = -m for f. 1 Let x = 3 ...
{ "pile_set_name": "DM Mathematics" }
805744. 2, 3, 7, 37, 467 What are the prime factors of 9971376? 2, 3, 293, 709 What are the prime factors of 744835? 5, 7, 13, 1637 List the prime factors of 2873595. 3, 5, 17, 59, 191 What are the prime factors of 658668? 2, 3, 131, 419 What are the prime factors of 3319? 3319 List the prime factors of 274937. 13, 211...
{ "pile_set_name": "DM Mathematics" }
ounded to two decimal places? 0.11 Let f = -1240.949214513 - -47.949197203. Let u = f - -1193. Round u to 5 decimal places. -0.00002 Let z = 1914.3 + -1914.30029287. Round z to five decimal places. -0.00029 Let c = -229 + 238.9. Let r = c + -22.5. Let i = r - -12.600074. What is i rounded to 5 decimal places? 0.00007 L...
{ "pile_set_name": "DM Mathematics" }
en 12:17 PM and 2:41 PM? 144 How many minutes are there between 4:52 PM and 6:43 PM? 111 How many minutes are there between 9:57 PM and 4:09 AM? 372 What is 374 minutes after 7:20 PM? 1:34 AM What is 503 minutes before 8:00 AM? 11:37 PM What is 557 minutes before 4:34 AM? 7:17 PM What is 639 minutes after 7:33 PM? 6:12...
{ "pile_set_name": "DM Mathematics" }
st to 1/5 in n, 3, -74? 3 Suppose -25*d - 87 - 56 + 43 = 0. Which is the nearest to 0? (a) -4/5 (b) 0.45 (c) d b Let v = 2.1291 + -2.2291. Which is the closest to 1? (a) -93 (b) 2/3 (c) v (d) 0.4 b Let i = -59 + 60. Let n = 83 - 83.5. Which is the closest to i? (a) n (b) 5 (c) 0 c Let a be (-22)/14 + (15 - (-...
{ "pile_set_name": "DM Mathematics" }
x and 16? 4 Let a(z) = -z**2 - 17*z - 14. Let v be a(-16). Suppose -4*f + 4*i + 0*i = -52, -2*f - v*i = -22. Let k = -8 + f. What is the highest common divisor of k and 8? 4 Let i(t) = 5*t + 4. Let p = 18 - 22. Let x be i(p). Let q = -13 - x. What is the greatest common divisor of q and 33? 3 Suppose -5*p + 10 = 0, -1...
{ "pile_set_name": "DM Mathematics" }
+ 5*b - 5. Let a(w) = -5*w**2 + 4*w - 4. Calculate u*s(j) + 7*a(j). j**2 - 2*j + 2 Let n(w) = w**3 + 4*w**2 + w. Let o(s) = 1 - 5 + 7*s**3 - s - 8*s**3 - 5*s**2 + 5. What is 5*n(d) + 4*o(d)? d**3 + d + 4 Let z(d) = 4*d**2 - 5*d - 63. Let j(m) = 2*m**2 - 2*m - 30. Determine -5*j(f) + 2*z(f). -2*f**2 + 24 Let o(n) = 5*n ...
{ "pile_set_name": "DM Mathematics" }
actor of 165 and 166623435? 165 What is the highest common factor of 114413579 and 133? 7 What is the greatest common factor of 439 and 1261454647? 439 What is the greatest common factor of 472045296 and 1624? 232 Calculate the greatest common divisor of 6213882 and 1800570. 7662 What is the highest common factor of 25...
{ "pile_set_name": "DM Mathematics" }
80*k**2 - 6660*k. 5*k*(k - 6)*(k + 222) Find s, given that -2*s**4/9 + 5684*s**3/3 - 36209666*s**2/9 - 194210912*s/3 - 2334904448/9 = 0. -8, 4271 Suppose 82*v**5/11 - 142*v**4 + 4176*v**3/11 - 2824*v**2/11 + 128*v/11 = 0. What is v? 0, 2/41, 1, 2, 16 Find q such that 3*q**3 + 8925*q**2 + 203538*q - 442800 = 0. -2952, -...
{ "pile_set_name": "DM Mathematics" }
at is prob of sequence as when two letters picked without replacement from {k: 1, a: 1, s: 1, w: 1, x: 1}? 1/20 What is prob of sequence upb when three letters picked without replacement from {e: 1, u: 2, t: 3, b: 6, p: 4, z: 4}? 2/285 Four letters picked without replacement from {v: 9, q: 5}. Give prob of sequence vqv...
{ "pile_set_name": "DM Mathematics" }
(d) 0.7 (e) 4/3 b What is the closest to 0.05 in -1/6, -2, -0.4, 20, -6/11? -1/6 Which is the nearest to 7? (a) 1 (b) -4 (c) -2/3 (d) 5 (e) 1432 d What is the nearest to 4/7 in 9, 2, -1802, 4, -4? 2 What is the nearest to -3/7 in -0.5, -20, 6, 2/19? -0.5 What is the closest to 0.21 in 3, 2/3, 0.8, -0.07? -0.07 W...
{ "pile_set_name": "DM Mathematics" }
= 5*s for s. 1 Solve -1608 = -7*i - 1622 for i. -2 Solve -359 + 86 = 39*n for n. -7 Solve 0 = 16*c + 25 - 121 for c. 6 Solve 25*k = 15*k - 50 for k. -5 Solve 0 = -0*h - 0*h - 2*h for h. 0 Solve 0 = 5*h - 3*h - 2 for h. 1 Solve -13*z + 12*z - 3 = 0 for z. -3 Solve -3 - 1 = 2*n for n. -2 Solve -188*x = -194*x - 18 for x...
{ "pile_set_name": "DM Mathematics" }
74. Determine j*o(u) - 11*n(u). u**3 - 8*u Let z(x) = 1003*x**3 + 33*x**2 + 3. Let n(v) = -1003*v**3 - 44*v**2 - 3. Give -3*n(s) - 4*z(s). -1003*s**3 - 3 Let v(y) = -y + 65. Let p(i) = -53188*i + 2592915. Determine -p(l) + 39891*v(l). 13297*l Suppose i - 29 = 2*x - 4*i, x - 3*i = -17. Let g(b) = b. Let z = -76 - -77. L...
{ "pile_set_name": "DM Mathematics" }
the third smallest value in u, 2, 4? 4 Let d = -0.6 - -0.1. Let f(c) = 5*c - 4*c - 4*c + 2*c. Let j be f(4). What is the smallest value in j, d, -2/9? j Suppose -4*f + 5 + 3 = 0. Let p be f/8*(-1210)/203. Let s = p - 2/203. What is the biggest value in -0.5, 2, s? 2 Suppose -l - 1 = -2*l, -r = -3*l + 13. Let g be (-4 -...
{ "pile_set_name": "DM Mathematics" }
i: 1, x: 4}? 1/306 Four letters picked without replacement from {x: 4, n: 6}. Give prob of sequence nxnn. 2/21 What is prob of sequence tttx when four letters picked without replacement from {x: 6, t: 8, g: 1, p: 1}? 3/65 Two letters picked without replacement from {j: 1, k: 1, a: 3, u: 2}. Give prob of sequence uu. 1/...
{ "pile_set_name": "DM Mathematics" }