text
stringlengths
270
8.19k
meta
dict
1/168 Calculate prob of sequence zzel when four letters picked without replacement from znenzleznenne. 1/715 Calculate prob of sequence dqqf when four letters picked without replacement from ovvjqqofjqoqjovodo. 1/6120 Three letters picked without replacement from {e: 14, a: 5}. Give prob of sequence eee. 364/969 Two le...
{ "pile_set_name": "DM Mathematics" }
between -254538086.1623 and 52? 254538138.1623 Add together -3.008 and 189541597. 189541593.992 Subtract -1152 from -654665636. -654664484 Add together 4 and 4.118669799705. 8.118669799705 What is -87.71 less than 306094.6? 306182.31 Calculate -4 + 1563618909183. 1563618909179 Calculate 10776879711.4 + -0.86. 107768797...
{ "pile_set_name": "DM Mathematics" }
Let v(h) = 2*h**3 - h**2 - 2. Let a(x) = -100*x**3 - 3*x**2 + 400. Let k(g) = -a(g) + 3*v(g). What is the first derivative of k(n) wrt n? 318*n**2 Let u(p) = -p**5 + 12*p**4 - p**2 - p + 21. Let x(l) = 2*l**4 - l**2 + l - 1. Let b(g) = u(g) + x(g). What is the third derivative of b(i) wrt i? -60*i**2 + 336*i What is th...
{ "pile_set_name": "DM Mathematics" }
- 11.01. What is f rounded to the nearest integer? -4 Let w = -175.417 + 0.417. Let b = -175.0196 - w. What is b rounded to two dps? -0.02 Let q = -1282 + 1310.02. What is q rounded to zero decimal places? 28 Let i be (-2 - (265895 - -1))*84/(-56). Suppose -5*j - 4*m = -2779988, -2*j + 5*m + i + 713168 = 0. What is j ...
{ "pile_set_name": "DM Mathematics" }
(-11)/4*((-29)/(-87) - (-16)/(-33))? 5/12 What is the value of (1905823/(-732))/(-199) + 75/(-9)? 19/4 What is the value of (-1330)/(-5244) - 52/598? 1/6 Evaluate 2 + 47 + 2 + -7 + 2 + 134 + -129. 51 What is -1664 + 1711 + 65/(-2)? 29/2 What is the value of ((-16704)/1386 + 12)/(3 - 1)? -2/77 What is (-2)/(-2)*(52 + -8...
{ "pile_set_name": "DM Mathematics" }
6922? 4829 Calculate the greatest common factor of 38632 and 251064. 88 Calculate the greatest common factor of 25542 and 13336708. 946 What is the highest common factor of 46546 and 1982608? 1258 Calculate the highest common factor of 1247724 and 2997. 81 Calculate the greatest common factor of 251 and 115345042. 251 ...
{ "pile_set_name": "DM Mathematics" }
the terms in -302*k**2 + 8561*k**2 + 4347*k**2 - 6*k**3. -6*k**3 + 12606*k**2 Collect the terms in -120 + 34 + 183 + 274*h**2 + 309 - 274*h**2 - 2*h**3. -2*h**3 + 406 Collect the terms in -7031*i + 161 - 47 - 47 - 67. -7031*i Collect the terms in -2 - 157*c - 185*c + 339*c. -3*c - 2 Collect the terms in 16*r**3 - 124*...
{ "pile_set_name": "DM Mathematics" }
a + 28226. What is the hundreds digit of a? 0 Let z(p) = -p**2 - 20*p - 15. Let h be z(-14). Let k = h + 7. What is the tens digit of k? 7 Suppose 0 = 6*s - 7*s + 2. Suppose -9*w + s*w - 14 = 0. What is the units digit of 364*w*(-3)/12? 2 Let t be ((-31876)/(-4))/(4 + -2 + -1). Suppose 0*a - t = -13*a. Suppose 5*m = -3...
{ "pile_set_name": "DM Mathematics" }
+ 12. Let c(y) = 77*y**2 - 189*y. Let t(l) = o*c(l) + 126*p(l). Let h(k) = 2*k**2. Determine t(h(s)). 112*s**4 Let r(z) = -6*z. Let i(w) = 510*w**2 - 2*w - 37418. What is r(i(o))? -3060*o**2 + 12*o + 224508 Let s(o) = -26*o**2 + 24*o + 3. Let i(b) = -27*b**2 + 32*b + 4. Let q(j) = 3*i(j) - 4*s(j). Let c(g) = g**2 - 19...
{ "pile_set_name": "DM Mathematics" }
iate -31*r**2 + 3*r - 2126. -62*r + 3 Find the third derivative of -689*j**4 - j**2 + 444*j wrt j. -16536*j Find the third derivative of -5537*k**6 + 2883*k**2 + k + 1 wrt k. -664440*k**3 What is the first derivative of -528*o**3*r**3 + 20*o**3 - 2 wrt r? -1584*o**3*r**2 Find the second derivative of 6*b**3 + 95*b**2*c...
{ "pile_set_name": "DM Mathematics" }
? 1100000 Round 35200 to the nearest ten thousand. 40000 What is -103272 rounded to the nearest 10000? -100000 Round 50930000 to the nearest one million. 51000000 Round 7.63081 to the nearest integer. 8 Round -0.0863 to two decimal places. -0.09 Round 6780 to the nearest one thousand. 7000 What is 79400 rounded to the ...
{ "pile_set_name": "DM Mathematics" }
-732*h + 11117. Calculate the remainder when 1250 is divided by g(15). 17 Let x = 194 - 155. Let a = x - 14. Calculate the remainder when 44 is divided by a. 19 Suppose -2974*u + 2988*u = 2758. Calculate the remainder when u is divided by 80. 37 Calculate the remainder when 148 is divided by 60/40 + (-18)/(-4). 4 Suppo...
{ "pile_set_name": "DM Mathematics" }
ulate prob of sequence ff when two letters picked without replacement from ffyrffrrfffy. 7/22 Two letters picked without replacement from tmf. Give prob of sequence ft. 1/6 Three letters picked without replacement from jqjnnntqntnnqjnxqqn. Give prob of sequence nqj. 20/969 What is prob of sequence kk when two letters p...
{ "pile_set_name": "DM Mathematics" }
2. 6*sqrt(7) Simplify ((-1 + sqrt(1700) + 1 + sqrt(1700))**2 + (-4 + sqrt(1700)*1)**2)*-3. -25548 + 240*sqrt(17) Simplify -3*((0 + sqrt(684))*6 + 4)*-2. 24 + 216*sqrt(19) Simplify 1 + ((sqrt(891) + -5*-1*sqrt(891))*6*-3)**2. 10392625 Simplify sqrt(50)/sqrt(40)*-5 + (2*sqrt(5)*-3 - (sqrt(245) + -1)). -31*sqrt(5)/2 + 1 S...
{ "pile_set_name": "DM Mathematics" }
What comes next: -1439141, -1439142, -1439143, -1439144, -1439145, -1439146? -1439147 What comes next: -81502, -81508, -81536, -81598, -81706, -81872, -82108, -82426? -82838 What is the next term in 44117, 44139, 44189, 44279, 44421, 44627? 44909 What comes next: -193, -987, -3055, -7009, -13461? -23023 What is the ne...
{ "pile_set_name": "DM Mathematics" }
in -4, -0.2, -36, 0.1? 0.1 What is the nearest to -1 in 1/4, -24, -1? -1 What is the nearest to -2/3 in -2.53, 1, 0.1, 4/3? 0.1 Which is the nearest to 19/79? (a) 0.8 (b) -2/9 (c) 5 b Which is the closest to -1/4? (a) 1/42 (b) 3 (c) -1 (d) -4 a What is the closest to -9 in -2/7, -1, -30? -1 Which is the nearest ...
{ "pile_set_name": "DM Mathematics" }
{w: 1, t: 1, h: 1, k: 2, b: 1, v: 2}? 1/35 Calculate prob of picking 1 y and 1 c when two letters picked without replacement from {j: 1, d: 1, t: 2, x: 1, c: 2, y: 1}. 1/14 What is prob of picking 1 m and 2 s when three letters picked without replacement from msssmmmmmmsmmmmsmmm? 140/969 Calculate prob of picking 1 p a...
{ "pile_set_name": "DM Mathematics" }
mmfm? 1/7 Three letters picked without replacement from {l: 8, x: 3}. Give prob of sequence lxx. 8/165 Two letters picked without replacement from {x: 1, o: 6, p: 2, k: 1, s: 2}. What is prob of sequence ks? 1/66 Four letters picked without replacement from mdmbdbbmbmbd. Give prob of sequence bbdd. 1/99 Three letters ...
{ "pile_set_name": "DM Mathematics" }
h**4/4 - 5*h**3/3 + 4*h**2 + 12*h - 23. Let k be o(-6). Is k at most as big as 3/82? True Let a = 0.02 + 10.98. Let i = a - 10.8. Let h = -2 + 3. Which is bigger: h or i? h Suppose 6 = -d - w, -3*d - 4*w + 5 = 28. Which is greater: 2/145 or d? 2/145 Let w = -50 - -93. Suppose -r - 19 = -q, 4*r + 38 + w = -q. Let u = r ...
{ "pile_set_name": "DM Mathematics" }
divisor of 32 and l. 32 Let q = 0 - -2. Suppose 208 = 6*p - q*p. What is the highest common factor of p and 130? 26 Let f be (-200)/120*(-108)/15. Let i(l) = -2*l**3 + 2*l**2 - 1. Let w be i(2). Let g be (-50)/(-18) + (-2)/w. Calculate the greatest common divisor of g and f. 3 Suppose 136 = 2*a + 2*r, -2*a - 2*a = 2*r ...
{ "pile_set_name": "DM Mathematics" }
31, 37 What are the prime factors of 29? 29 What are the prime factors of 8529? 3, 2843 What are the prime factors of 384? 2, 3 What are the prime factors of 5471? 5471 What are the prime factors of 1639? 11, 149 List the prime factors of 38964. 2, 3, 17, 191 List the prime factors of 399. 3, 7, 19 What are the prime f...
{ "pile_set_name": "DM Mathematics" }
*h - 11 = 5*g, -g = -h - d*g for h. 2 Suppose -o + 5*f - 4 = 0, -10 - 10 = 5*o + 5*f. Let u be 2 + -1*(1 - 3). Let b be o + 18*2/u. Solve -z + 15 = z - b*w, -5*z - 2*w - 35 = 0 for z. -5 Let b be ((3 - -2)*-1)/(-1). Suppose 0 = 4*c, -b*t = -2*t - 3*c - 9. Solve p - 7 = -2*y + 2*p, t*y = -p + 13 for y. 4 Suppose -7*f + ...
{ "pile_set_name": "DM Mathematics" }
*2 + 5/6*a**3 + 0*a + 0. Give 4*k(g) + o(g). -g + 1 Let p be 120/18 + 6/(-9). Let h(k) = -k. Let i(j) = -j. Calculate p*h(b) - 3*i(b). -3*b Let k(j) = 1. Let c(n) = -4*n. What is -c(l) + 3*k(l)? 4*l + 3 Let x(a) = a + 1. Let s(g) = g**2 + 2*g + 3. Suppose -2*t - 40 = 4*k - 5*k, -3*k + 48 = -2*t. Let h = t - -13. Give h...
{ "pile_set_name": "DM Mathematics" }
929? 12*c + 230857 What is the u'th term of -1362, -1364, -1366, -1368, -1370? -2*u - 1360 What is the f'th term of -229155, -229130, -229091, -229032, -228947, -228830, -228675, -228476? f**3 + f**2 + 15*f - 229172 What is the o'th term of 4087, 8172, 12259, 16348? o**2 + 4082*o + 4 What is the s'th term of 1228, 4861...
{ "pile_set_name": "DM Mathematics" }
the closest to -2/9? (a) 2 (b) 0.05 (c) 38 b Which is the closest to 0.1? (a) -0.0277 (b) -0.5 (c) 0.3 (d) 5 a Which is the nearest to -1? (a) -2/7 (b) -0.12 (c) -0.088 a What is the closest to -0.1 in -2/7, 5/3, -11, -0.1? -0.1 What is the nearest to -0.1 in 2/19, -3, -14? 2/19 What is the nearest to 1 in 0,...
{ "pile_set_name": "DM Mathematics" }
emainder when 6364720 is divided by 186? 172 Calculate the remainder when 243649 is divided by 81200. 49 Calculate the remainder when 425399 is divided by 212462. 475 What is the remainder when 4545251 is divided by 20380? 511 What is the remainder when 47976208 is divided by 298? 294 Calculate the remainder when 10855...
{ "pile_set_name": "DM Mathematics" }
nutes are there between 4:09 AM and 2:27 PM? 618 What is 605 minutes before 4:35 PM? 6:30 AM How many minutes are there between 4:35 PM and 3:18 AM? 643 What is 488 minutes after 3:30 AM? 11:38 AM How many minutes are there between 6:31 AM and 3:49 PM? 558 What is 401 minutes after 3:44 AM? 10:25 AM What is 59 minutes ...
{ "pile_set_name": "DM Mathematics" }
152. Let d(q) = 9*q**2 + 43*q + 11. Is d(o) prime? True Suppose 9*q = 3*q + 71964. Let f = q + -6236. Is f a prime number? False Let w = 128 + -119. Suppose w*g + 2498 = 11*g. Is g prime? True Suppose -27 = -m + 47. Let p = m + -207. Is 3/((-3)/p) + 7 + -6 prime? False Let i(g) = -g**3 + 9*g**2 + 16*g - 25. Let q be i(...
{ "pile_set_name": "DM Mathematics" }
u(w) = 4*w**3 - w**2 - w. Calculate u(k). -4 Suppose 3*t = 4*t + 1, 3*l - 4*t = -29. Let n(k) = 10*k + 103. Determine n(l). -7 Let v(i) = 3*i - i + 0*i. Let r(x) = -300*x + 3909. Let o be r(13). Calculate v(o). 18 Suppose 7*l = 6*l - 6. Let a be l + 4 - 1/(2/(-4)). Let t(y) = -y**2 + y + 6. Determine t(a). 6 Let f = -...
{ "pile_set_name": "DM Mathematics" }
t is 24900 divided by 4980? 5 Divide -1 by 75. -1/75 9092 divided by 4 2273 Calculate -336 divided by 1. -336 Calculate -4225 divided by 6. -4225/6 Calculate -990 divided by 33. -30 What is -7 divided by -25? 7/25 What is -4748 divided by 6? -2374/3 3 divided by 107 3/107 What is 2847 divided by 13? 219 Calculate 2349 ...
{ "pile_set_name": "DM Mathematics" }
inder when c is divided by 32? 30 Let b = -33 - -58. Let w = 34 - 21. Calculate the remainder when b is divided by w. 12 Suppose -4*x + 110 = 3*u, -109*u = -105*u + 5*x - 145. Calculate the remainder when u is divided by 8. 6 Calculate the remainder when 41 is divided by (3/(-9)*-2)/(4/24). 1 Let r = -120 + 122. Suppos...
{ "pile_set_name": "DM Mathematics" }
ct the terms in 8911*l**2 - 35 - 8909*l**2 + 207. 2*l**2 + 172 Collect the terms in -315*x - 322*x + 840*x - 299*x + 112*x. 16*x Collect the terms in 3180*z**2 + 715*z**2 + 1564*z**2 + 228*z**2 - 31. 5687*z**2 - 31 Collect the terms in 1814*m + 1528*m + 1399*m. 4741*m Collect the terms in -2664*b**3 + 29890*b**3 + b - ...
{ "pile_set_name": "DM Mathematics" }
- -117. What is the greatest common factor of 63 and z? 7 Let i(n) = 2*n + 2. Let w be i(3). Let b be ((-2)/(-6))/(-5 - (-6530)/1305). Suppose -b*p + 85*p + 64 = 0. What is the highest common factor of w and p? 8 Let w(v) = -v**3 + 6*v**2 + 2*v + 7. Let r(u) = -u**2 + 14*u - 40. Let x be r(5). Let n be w(x). Calculate ...
{ "pile_set_name": "DM Mathematics" }
nded to the nearest integer? -14 Round 0.107552 to three dps. 0.108 Round 0.0001979679 to five dps. 0.0002 Round -0.0000006351426 to 7 dps. -0.0000006 What is 129.91695 rounded to the nearest 10? 130 Round -0.01043749 to 3 decimal places. -0.01 What is -10.896709 rounded to 2 decimal places? -10.9 Round -11.130983 to 2...
{ "pile_set_name": "DM Mathematics" }
alculate the remainder when 282905 is divided by 4801. 4447 Calculate the remainder when 212857903 is divided by 36. 19 What is the remainder when 265001 is divided by 3632? 3497 What is the remainder when 9433357 is divided by 985? 12 Calculate the remainder when 1711254 is divided by 5298. 0 What is the remainder whe...
{ "pile_set_name": "DM Mathematics" }
5*b**4) - 4*b**5 + 6 - 13 + 5 + 2*b**2. 11*b**5 + 2*b**2 - 2 Expand (1 - 1 - 2)*(g - 6*g + g) - 4 - 2*g + 4 + g + 2*g + 2*g + (5 - 5 + 2*g)*(1 - 2 + 6). 21*g Expand 61*x**2 + 73 + 11*x**2 - 75 + (0*x - 3*x + x)*(-2*x - 2 + 2). 76*x**2 - 2 Expand (-2 + 1 - 1)*(0 + 27 - 51)*(-2*l - l + 2*l). -48*l Expand (-2*j**2 - 1 + ...
{ "pile_set_name": "DM Mathematics" }
w. -4 Suppose -46 + 10 = -6*b. Solve -6 = 2*f - x, 2*f + 10*x = 5*x - b for f. -3 Let c(d) = -d**3 + 5*d**2 - 7*d + 13. Let g be c(4). Solve -3*w - 25 = 2*w + 5*n, 3*n = 4*w - g for w. -2 Let n(r) = 4*r - 2. Suppose -4*w = 5*b - 9, 4*w - 2*b + 2 = 4. Let g be n(w). Suppose -c = -g*t - 16, 2*t = -t. Solve -c = u + 4*j, ...
{ "pile_set_name": "DM Mathematics" }
) 8246.3 (e) -3 (f) 0 (g) 5 f Which is the fourth smallest value? (a) -8 (b) -9/13957 (c) 1 (d) 0 (e) 5 c Which is the fourth biggest value? (a) 1 (b) -8 (c) 7600 (d) -3 (e) -0.5 d What is the fourth smallest value in -0.2, -4, -430130, 0.5? 0.5 Which is the third biggest value? (a) 7448.5 (b) -4 (c) 1/...
{ "pile_set_name": "DM Mathematics" }
5/(10/q))/((-4)/1038). Differentiate -18 + 4*j**2 + w*j - 519*j with respect to j. 8*j Let a be 228 - (106/(-34) - 22/(-187)). What is the second derivative of -9*v + 254*v**2 + 85*v - a*v**2 wrt v? 46 Let q be 286/88 - (-10)/8*-1. What is the third derivative of -7*t**q + 85*t**3 - 325 + 9*t + 325 wrt t? 510 Find the ...
{ "pile_set_name": "DM Mathematics" }
What is the value of 43 + -39 - -52 - 32? 24 What is -5 - (365 + -360 - (83 + -2))? 71 Evaluate -5 - -3 - 6 - (9 + -58). 41 (6 - 1) + 40 + (6 - (-4 - (-3 + 3))) 55 19 + (35 - 93) - -2 -37 What is -6 - (-87 - (-154 - -78) - (-2 - (1 - -1)))? 1 (108 - 22 - 90) + -13 -17 -21 - 2 - (22 - (16 - (-24 + 12))) -17 What is the ...
{ "pile_set_name": "DM Mathematics" }
hat is the highest common factor of 1037 and 427? 61 What is the greatest common divisor of 891 and 495? 99 What is the greatest common factor of 22920 and 8? 8 Calculate the highest common factor of 1017 and 226. 113 What is the highest common divisor of 4992 and 32? 32 What is the greatest common divisor of 89310 and...
{ "pile_set_name": "DM Mathematics" }
- 3*k - 6. Calculate t(-4). -10 Let c(q) = 3*q + 114. Determine c(-24). 42 Let r(x) = -x**2 + 7*x + 4. Determine r(-5). -56 Let z(t) = -t**3 - 6*t**2 - 4*t + 5. Calculate z(-3). -10 Let r(q) = 12*q + 1. What is r(1)? 13 Let a(q) = -q**3 - 7*q**2 - 8*q - 13. Determine a(-4). -29 Let u(g) = -7*g**2 - g + 2. Give u(1). -...
{ "pile_set_name": "DM Mathematics" }
1*n**4/12 - 35*n**3 - 665*n**2. What is the first derivative of s(g) wrt g? 12*g - 82 Let o(n) be the second derivative of 3689*n**6/30 - n**5/20 + 735*n**3 - 6*n - 328. Find the second derivative of o(c) wrt c. 44268*c**2 - 6*c Let b(k) = -k**3 - 4*k**2 - k - 1. Let s be b(-4). What is the second derivative of l**s - ...
{ "pile_set_name": "DM Mathematics" }
89*y) to the form f*y**2 + j*y + o*y**3 + q and give o. -1608 Rearrange -7978173 + 7978173 - 42*s**2 - 67*s to a*s + x + c*s**2 and give a. -67 Rearrange (78*u**3 + 317*u**3 - 199*u**3)*(-15*u - 22*u + 27*u) to i*u + z*u**4 + t*u**2 + y + r*u**3 and give z. -1960 Express -33*s**2 + s + 129*s**2 - 2*s + (13 - 9 - 27)*(-...
{ "pile_set_name": "DM Mathematics" }
461? 450 What is next in -1823, -1819, -1813, -1805, -1795, -1783? -1769 What is next in 5, -12, -63, -166, -339, -600, -967, -1458? -2091 What is the next term in -270, -269, -268, -267, -266, -265? -264 What comes next: -563, -587, -621, -671, -743, -843? -977 What comes next: -71, -61, -51, -41, -31, -21? -11 What i...
{ "pile_set_name": "DM Mathematics" }
st to -0.08 in -21.79, -2/5, -0.05242? -0.05242 Which is the nearest to -8? (a) 4 (b) -3 (c) -22933 (d) 1/5 (e) -1 b What is the closest to 1 in -0.1872, 1200, 2/17? 2/17 What is the closest to 0.275 in 1, -0.04, -1/21, 8.1? -0.04 What is the closest to 0.75 in -15020, -2, -11? -2 Which is the nearest to 2.93? (a...
{ "pile_set_name": "DM Mathematics" }
alue in 3/5, -1, 5, 3, -2, -14739? 3 Which is the third smallest value? (a) -2/7 (b) 2/19 (c) -2 (d) 0.6 (e) -3/5 (f) -1 (g) -3/359 e Which is the fifth smallest value? (a) -2 (b) 2/5 (c) -5 (d) 0.3 (e) -176/7 b What is the sixth smallest value in 0.1, 0.02, -2/3, -40, 1/7, 1/2? 1/2 Which is the fifth bigge...
{ "pile_set_name": "DM Mathematics" }
Find the first derivative of -759*a*c**2 - a*c - 36*a*t**2 - 1028*c**2*t**3 - 32 wrt t. -72*a*t - 3084*c**2*t**2 What is the second derivative of -1332578*v**3 - 19*v + 27795? -7995468*v Differentiate -13222*f*j + 30354*j with respect to f. -13222*j What is the third derivative of 82847*l**3*m**2 + 4*l**2*m - l*m**2 - ...
{ "pile_set_name": "DM Mathematics" }
and c. 220 What is the common denominator of 115/6 - 1/(-3) and (-366)/976 + ((-59)/40 - -2)? 20 Calculate the common denominator of (-194)/(-3880)*((-216)/14)/2 and -27/50. 350 Suppose -4*t + 4772 = -3*g, 5*g - 2*t + 6236 = -1694. Let p = -4826/3 - g. Calculate the common denominator of p and -71/6. 6 Let q = 0 - -11...
{ "pile_set_name": "DM Mathematics" }
d without replacement from {r: 1, z: 4, d: 10, p: 1, g: 3}? 1/3876 Four letters picked without replacement from nziaipauz. Give prob of picking 1 p, 1 i, and 2 n. 0 Calculate prob of picking 3 l and 1 e when four letters picked without replacement from llbexllux. 2/63 Two letters picked without replacement from mgmuupm...
{ "pile_set_name": "DM Mathematics" }
i? (a) 13 (b) 2/5 (c) -0.2 c Let g = -197 - -200. What is the closest to 0.2 in g, -2/35, -0.3? -2/35 Let q = 0.07 + 0.03. Let z = -0.066 + -0.034. Let s = 2/15 - 3/10. Which is the closest to z? (a) 0.5 (b) s (c) q b Let t = -11.23 - -7.23. Which is the nearest to 5? (a) -2/75 (b) 2/9 (c) 1/8 (d) t b Let a =...
{ "pile_set_name": "DM Mathematics" }
(i) = 3*i - 2. What is n*h(y) + u*v(y)? -3*y - 2 Let f(d) = -5*d**2 - 3*d + 3. Let b(s) = 1789128*s + 0*s**2 + 9*s**2 - 1789121*s - 7. Give 3*b(q) + 7*f(q). -8*q**2 Let m(l) = -3*l - 231. Let c(b) = -6*b - 457. Determine -4*c(o) + 7*m(o). 3*o + 211 Let o(u) = -u**3 - 3*u**2 + 3*u - 3. Let g(f) = 3*f**2 - 2*f + 2. Suppo...
{ "pile_set_name": "DM Mathematics" }
277 What are the prime factors of 27043? 27043 What are the prime factors of 63553? 7, 1297 What are the prime factors of 3164? 2, 7, 113 List the prime factors of 439. 439 What are the prime factors of 13961? 23, 607 What are the prime factors of 4449? 3, 1483 List the prime factors of 1785. 3, 5, 7, 17 List the prime...
{ "pile_set_name": "DM Mathematics" }
-z - 4*m + 19. Which is the second smallest value? (a) -7 (b) 0.3 (c) -1/4 (d) z d Let g be ((-2)/1)/((-2)/6). Let b be (3/g)/(20/8). Let a = -1.4 + 0.9. What is the smallest value in a, 0, b? a Let g(w) = -w**3 - 4*w**2 - 5*w - 3. Let h be g(-3). Let j = 2.4 - 2.4. What is the smallest value in j, -10, h? -10 Let ...
{ "pile_set_name": "DM Mathematics" }
pose -r - 1 = 3*a, 0 = -3*r - 0*r + 3*a + c. Does 3 divide r? False Let d(l) = -17*l + 2. Let j(g) = 2*g**3 - 8*g**2 - g. Let k be j(4). Is d(k) a multiple of 35? True Suppose -2*p - 3 = -59. Let f = p - 22. Is 3 a factor of f? True Suppose -4*x - 17 = k, 1 + 6 = -k - 2*x. Suppose k = 2*h - 35. Does 19 divide h? True S...
{ "pile_set_name": "DM Mathematics" }
Convert -476 (base 14) to base 10. -888 What is b036 (base 12) in base 9? 28116 What is 1065 (base 9) in base 6? 3352 Convert 6755 (base 8) to base 11. 2751 -d5a (base 14) to base 13 -1272 What is -110010 (base 2) in base 12? -42 What is 35301 (base 9) in base 12? 11784 Convert -124204 (base 5) to base 15. -16d9 Conver...
{ "pile_set_name": "DM Mathematics" }
= -2*j. Let c be l(j). Let m(d) = c*d + 4*d - 5*d. Give m(3). -3 Let f(t) = -2*t**3 + 5*t**2 - 5*t + 3. Suppose 0 = 5*p - 2*p - 9. Let q(m) = -3*m**3 + 5 + 12*m**2 - p*m**2 + m - 10*m. Let y(s) = -5*f(s) + 3*q(s). Give y(-3). -3 Let f(j) = j**2 + 5*j + 6. Suppose 0 = -4*p + 16, -3*v = v + p + 12. Give f(v). 2 Let g be ...
{ "pile_set_name": "DM Mathematics" }
3/3 - 3*f**2 + 5*f. Suppose -3 - 20 = -23*w. Calculate w*l(c) - 3*m(c). 2*c**3 - 2*c - 3 Let t(k) = -1011*k - 9. Let s(j) = 453939*j + 4044. Determine -3*s(p) - 1348*t(p). 1011*p Let v(d) = -4*d - 17*d - 1 + 22*d. Let b(i) = 2*i - 1. Give -b(j) - v(j). -3*j + 2 Suppose 25 = -168*g + 163*g. Let p(k) = -4*k**3 + 6*k**2 -...
{ "pile_set_name": "DM Mathematics" }
is -0.000001 rounded to 4 dps? 0 Round -0.0003871 to 4 dps. -0.0004 What is -2966 rounded to the nearest one thousand? -3000 What is 4718700 rounded to the nearest one million? 5000000 What is -3629000 rounded to the nearest one million? -4000000 What is 568.2 rounded to the nearest one hundred? 600 Round -32442500 to ...
{ "pile_set_name": "DM Mathematics" }
- w + 6. What is f(7)? -1 Let b(y) = y - 8. Calculate b(5). -3 Let t(w) = 24*w**2 + 6*w - 7. Calculate t(1). 23 Let x(m) = -6*m - 30. What is x(-5)? 0 Let u(i) = -i**3 + 9*i**2 + 9*i - 3. Give u(10). -13 Let h(q) = -4*q**2 + q + 1. Determine h(-3). -38 Let x(k) = 2*k**2 - 8*k + 13. Give x(4). 13 Let y(j) = 4*j**2 + 56*...
{ "pile_set_name": "DM Mathematics" }
isor of w and 1144? 11 Let g = 717 + -594. Calculate the greatest common divisor of g and 697. 41 Let r = -16553 - -17033. Calculate the greatest common factor of 4608 and r. 96 Suppose -5*z = -d + 35, -2*z = d - 4*z - 35. Suppose 0 = 3*h - 13 - d. Let b(f) = 23*f - 256. Let o be b(16). Calculate the greatest common di...
{ "pile_set_name": "DM Mathematics" }
t p(g) = 2*g**3 + 67*g**2 + 33*g + 55. What is p(-33)? 55 Let o(y) = 184*y + 539. Give o(-3). -13 Let q(x) = 8*x**2 - 66*x - 135. Give q(-2). 29 Let s(p) = 63*p**2 - 942*p + 15. Give s(15). 60 Let i(f) = 7*f**2 - 133*f + 85. Give i(24). 925 Let u(b) = 4*b**2 - 27*b + 59. Calculate u(14). 465 Let v(n) = -n**2 - 2873*n +...
{ "pile_set_name": "DM Mathematics" }
f*h - 222*h Find the second derivative of -i**3*k + 18*i**2*k*r**3 + 15*i**2*k*r**2 + 3*i*k*r**3 - i*r**3 - 9*i - 7*r**2 wrt i. -6*i*k + 36*k*r**3 + 30*k*r**2 Differentiate -2*c**3*h**2*k + 2*c**3*h**2 + 7*c**2*g**2*h**2 - 2*c*g**2*h + 2*c*h**2 - 2*g**2*k wrt k. -2*c**3*h**2 - 2*g**2 Find the second derivative of -l*s*...
{ "pile_set_name": "DM Mathematics" }
de 2452498? False Is 883424 a multiple of 14? False Is 78 a factor of 296946? True Is 5 a factor of 976151? False Is 131 a factor of 8885337? True Is 478 a factor of 36772540? True Is 938 a factor of 2101120? True Is 41 a factor of 2424? False Does 475 divide 613001? False Is 81354 a multiple of 42? True Is 142782 a mu...
{ "pile_set_name": "DM Mathematics" }
59. Let i = v + -17. Solve 0 = i*o - o + 5 for o. -5 Suppose -3*q + 6 = -0. Suppose 2*w - q*j + 6 = 0, -2*j + 0*j + 6 = -w. Suppose w = 4*f + f + 2*a - 28, 0 = 4*a + 4. Solve f*y = y for y. 0 Let b = 11 - 2. Let q(a) = -a - 2. Let p be q(0). Let z(n) = -4*n - 3. Let l be z(p). Solve 0 = l*g - 4 + b for g. -1 Let y(c) =...
{ "pile_set_name": "DM Mathematics" }
uppose -2*x + 17 = -3*x - k, j = 5*x - 5*k + 85. Is x at most -17? True Let m(t) be the second derivative of -t**4/24 + t**3/2 + t**2/2 - 2*t. Let o(q) be the first derivative of m(q). Let r be o(3). Is -1 equal to r? False Suppose 2*o + 3*q - 1 = 40, 0 = -4*o + q + 75. Let k = o - 14. Let v = 13 + -8. Do v and k have ...
{ "pile_set_name": "DM Mathematics" }
What is the value of (1/58)/((-9)/(27/(-189)*-63))? -1/58 What is (10/(-4))/(62/(-1116))? 45 (-420)/8*(-15)/50*16/6 42 What is ((2/(-7))/((-608)/2128))/((-2)/(-74))? 37 Evaluate (24/(-12)*-2)/(((-45)/(-9))/55). 44 What is (42/35)/(28*(-306)/(-2835))*16/12? 9/17 What is the value of 70/(-750)*(-116)/(-87)*((-165)/70)/(...
{ "pile_set_name": "DM Mathematics" }
0*n**2 + 395*n. -231*n**2 - n Collect the terms in -315*q - 16 + 57*q - 131*q. -389*q - 16 Collect the terms in 18 + 15*b**3 + 179*b**3 + 31 - 72 + 25. 194*b**3 + 2 Collect the terms in 835*a - 169*a - 167*a - 162*a - 171*a - 161*a. 5*a Collect the terms in -22*r**2 + 5*r + 13*r**2 + 17*r. -9*r**2 + 22*r Collect the te...
{ "pile_set_name": "DM Mathematics" }
= 977*o**2 + 5*o + 2. Let r be d(-2). Is r - -2 - (3 + (-12)/3) prime? False Suppose -97*c + 80*c = -111027. Let y = c - -758. Is y prime? False Let b = 39 - 39. Suppose 10*j - 6*j - 8 = b. Is 33*-1*(-1)/2*j a composite number? True Is ((-24)/6 + 3 - 1)*-18713 composite? True Suppose 7*j - 6*j - 15 = 0. Let f(x) = 73*...
{ "pile_set_name": "DM Mathematics" }
of j**5/60 + 5*j**4/24 - 14*j**3 + 2*j**2 + 291. Find m, given that x(m) = 0. -12, 7 Let p(a) be the first derivative of -a**6 + 4*a**5/5 + 9*a**4/2 - 4*a**2 + 47. Suppose p(x) = 0. What is x? -1, 0, 2/3, 2 Let u be (3/2)/((-3)/(-4)). Let g be u*(-4 + 6) + 45. Factor 3*q**2 - 2*q**3 - 49 - q**3 + g. -3*q**2*(q - 1) Let...
{ "pile_set_name": "DM Mathematics" }
Determine n*k(h) + 4*f(h). -2*h + 1 Let j(m) = -2*m**2 + 5*m + 1. Let b(u) be the first derivative of -10*u**3/3 + 13*u**2 + 5*u + 126. Calculate -2*b(l) + 11*j(l). -2*l**2 + 3*l + 1 Let v(n) = 24*n + 1. Let y(s) = 71*s + 21. Determine 4*v(f) - y(f). 25*f - 17 Let c(t) = 603*t**2 + 2 - 670*t**2 + 71*t**2 + 7*t. Let y(...
{ "pile_set_name": "DM Mathematics" }
2 + 27*x = 0. What is x? -3, 0, 1, 3 Factor -3*r**2 - 156*r - 2028. -3*(r + 26)**2 Find y, given that 2*y**2/3 + 4*y = 0. -6, 0 Factor -30*p**2 - 35*p - 5. -5*(p + 1)*(6*p + 1) Solve j**2/2 - 53*j/2 - 27 = 0 for j. -1, 54 Factor 9*h**4 - 87*h**3 + 123*h**2 - 21*h - 24. 3*(h - 8)*(h - 1)**2*(3*h + 1) Factor d**2/2 + 10*...
{ "pile_set_name": "DM Mathematics" }
)/(j**(-5/2)*j)**32 assuming j is positive. j**34 Simplify ((b**(7/4)*b)**(2/107))**44 assuming b is positive. b**(242/107) Simplify (g**(3/14))**(-13)*g**19*g*g**20/g assuming g is positive. g**(507/14) Simplify (x**(-4/17)*x**6/x)/((x/(x*(x*x*(x/(x/(x*x**(-16/5)))*x)/x*x)/x))/x**(-31)) assuming x is positive. x**(-22...
{ "pile_set_name": "DM Mathematics" }
s digit of 841797? 9 What is the tens digit of 13467570? 7 What is the hundreds digit of 142379? 3 What is the tens digit of 8737674? 7 What is the hundred thousands digit of 875050? 8 What is the tens digit of 707372? 7 What is the hundred thousands digit of 368825? 3 What is the units digit of 12661? 1 What is the mi...
{ "pile_set_name": "DM Mathematics" }
hree letters picked without replacement from kwwktwwnnkdtddtk. What is prob of picking 1 k, 1 w, and 1 n? 2/35 What is prob of picking 1 z and 1 d when two letters picked without replacement from {j: 2, n: 1, z: 1, d: 2, h: 4, f: 2}? 1/33 Four letters picked without replacement from {o: 4, k: 9, i: 6}. What is prob of ...
{ "pile_set_name": "DM Mathematics" }
d) -32 (e) 10 (f) 1 f Which is the fourth biggest value? (a) -0.8961 (b) -1/5 (c) -0.11 (d) -1 d Which is the fifth biggest value? (a) -1/2 (b) 27 (c) 1/14 (d) -0.2 (e) 7 (f) -59 (g) 0.2 d Which is the smallest value? (a) -4 (b) -192 (c) -69 (d) -2/11 (e) 4 (f) 0.3 b Which is the second biggest value...
{ "pile_set_name": "DM Mathematics" }
nge 2 + 8*r - 9 + 7 + 3*r**2 to the form c*r**2 + t*r + g and give t. 8 Express -30*t**2 + 30*t**2 - 14*t**2 in the form w*t**2 + h + x*t and give w. -14 Express (2*q - 4*q + 0*q)*(0 + 2 - 4)*(-3 + 7*q**2 - 4*q**2 - 9*q**2) in the form j + r*q**2 + u*q**3 + o*q and give o. -12 Express 2 + 3*h - 9 + 7 as v*h + b and giv...
{ "pile_set_name": "DM Mathematics" }
000. -10000 What is -867.5122057 rounded to the nearest ten? -870 What is -0.2558334681 rounded to 5 decimal places? -0.25583 Round -0.00006974872125 to 5 dps. -0.00007 What is -5382489800 rounded to the nearest one million? -5382000000 Round -354911346.6 to the nearest 100000. -354900000 What is 187676.147 rounded to ...
{ "pile_set_name": "DM Mathematics" }
implify (2*(3 + (-2*sqrt(1700) - (sqrt(204) - -1*sqrt(204))/sqrt(12))))**2. -528*sqrt(17) + 32948 Simplify (sqrt(1425)*5)/sqrt(3). 25*sqrt(19) Simplify 4*(sqrt(75) + 1 + sqrt(75)). 4 + 40*sqrt(3) Simplify (sqrt(1053) + 3)**2 + -4. 54*sqrt(13) + 1058 Simplify ((sqrt(125) + sqrt(5))**2 + -5)*-5. -875 Simplify (sqrt(80)*-...
{ "pile_set_name": "DM Mathematics" }
*u**6 - 106512*u**3 - 188*u**2 - 1256*u - 11? 43080*u**3 - 639072 Find the second derivative of 9619*a**3*k*n + 161*a**3*n**2 - 23487*k**3*n**5 + k**3 + 17*k**2*n wrt n. 322*a**3 - 469740*k**3*n**3 What is the third derivative of -493132*n**4 - 32*n**3 + 562027867*n**2 wrt n? -11835168*n - 192 What is the first derivat...
{ "pile_set_name": "DM Mathematics" }
the remainder when 558 is divided by 43. 42 What is the remainder when 282 is divided by 26? 22 Calculate the remainder when 622 is divided by 30. 22 Calculate the remainder when 110 is divided by 41. 28 Calculate the remainder when 5261 is divided by 7. 4 Calculate the remainder when 199 is divided by 53. 40 Calculate...
{ "pile_set_name": "DM Mathematics" }
-2 Solve -553 = 4*r - 533 for r. -5 Solve -511*v - 10 = -516*v for v. 2 Solve -28 = -47*h + 54*h for h. -4 Solve 12 = k + 13 for k. -1 Solve 5*a - 30*a - 75 = 0 for a. -3 Solve -39*h = -16*h + 46 for h. -2 Solve 10*m + 385 = -45*m for m. -7 Solve -20 = 37*u - 27*u for u. -2 Solve -37 + 13 = -12*c for c. 2 Solve 44*c + ...
{ "pile_set_name": "DM Mathematics" }
0.1? (a) -4989 (b) -11 (c) -2 c What is the nearest to 0 in -0.03, -1/4, -1033, 3/5? -0.03 Which is the closest to 56? (a) -0.01 (b) -4 (c) -4/7 a What is the closest to 1/3 in -1, 2, 26/23, 1? 1 Which is the nearest to -34? (a) 0.7 (b) 6 (c) 14 (d) 0.5 (e) 5 d Which is the closest to -7? (a) -5 (b) -0.5 ...
{ "pile_set_name": "DM Mathematics" }
bxvbwlxlx. 1/46512 Two letters picked without replacement from llulul. What is prob of sequence ll? 2/5 Two letters picked without replacement from {t: 2, n: 3, d: 4}. What is prob of sequence dd? 1/6 What is prob of sequence cmcy when four letters picked without replacement from mmcmymccmcccmcmcmmc? 9/1292 Calculate p...
{ "pile_set_name": "DM Mathematics" }
52*w. Find the second derivative of p(h) wrt h. 30*h + 18 Let g(k) be the third derivative of 0 - 3*k**2 + 0*k + 7/24*k**4 - 3/2*k**3. Differentiate g(c) wrt c. 7 Let p(r) = r - 4. Let d be p(19). Find the second derivative of d*t**2 - 31*t + 33 - 67 + 34 wrt t. 30 Suppose -2*t = 2*t + 52. Let s = t + 15. What is the ...
{ "pile_set_name": "DM Mathematics" }
Simplify (c*c/(c*c/(c/c**(-1/3)))*c)**(-30)/(c**(-2))**(-35) assuming c is positive. c**(-140) Simplify (((k**3*k*k)/k)/k)/(k*k**(1/5)*k*k)*(k*k**(-3/7))/(k*k*k**2) assuming k is positive. k**(-127/35) Simplify ((j**(-1/10)*j)**(-2/9))**32 assuming j is positive. j**(-32/5) Simplify (d*d/(d*d*(d/(d/(d*d**30)))/d))/d**...
{ "pile_set_name": "DM Mathematics" }
5 for x. -1 Let o = -43 - -28. Let g be 20/8*(-72)/o. Solve -t + 28 - g = 3*w, -3*w = -5*t - 10 for t. 1 Let m(r) be the second derivative of r**4/6 + r**3/3 - 2*r**2 - 7*r. Let q be m(-4). Solve 3*s + v = -9 + 25, -3*s - 2*v = -q for s. 4 Suppose -2*v + 16 + 14 = 0. Suppose -2*w - 11 = -v. Solve 3*b + t - 8 = 0, 6*t ...
{ "pile_set_name": "DM Mathematics" }
8, b: 2}. 8/15 Three letters picked without replacement from {q: 3, y: 3, z: 7}. What is prob of picking 2 q and 1 y? 9/286 Three letters picked without replacement from {w: 9, j: 7, e: 2}. What is prob of picking 3 j? 35/816 Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {t: 6,...
{ "pile_set_name": "DM Mathematics" }
f 5792085 to the nearest integer? 2407 What is the cube root of 6087074 to the nearest integer? 183 What is the tenth root of 27645 to the nearest integer? 3 What is 3209411 to the power of 1/6, to the nearest integer? 12 What is the sixth root of 110288 to the nearest integer? 7 What is the square root of 10390050 to ...
{ "pile_set_name": "DM Mathematics" }
a What is the second derivative of 19810676*z**3 + 4185*z - 1066? 118864056*z What is the third derivative of -15478875*r**4 + 3356986*r**2 wrt r? -371493000*r Find the second derivative of 15101876*n**5 + 16541895*n wrt n. 302037520*n**3 What is the third derivative of -152301098*l**3 - 127*l**2 - 319116 wrt l? -91380...
{ "pile_set_name": "DM Mathematics" }
111*f - 3 - 185*f + 87*f. Let a(v) = 9*t(v) - 2*u(v). Let y(x) = x. Determine y(a(l)). l - 3 Let l(n) = 21*n. Let k(m) be the third derivative of 1/24*m**4 + 0 + 17*m**2 + 0*m**3 + 0*m. Determine l(k(u)). 21*u Let a(s) = -34*s - 2. Let b(l) = 3*l - 2. Let z(d) = -a(d) + b(d). Let g(p) = 3*p. Determine z(g(v)). 111*v Le...
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {a: 4, d: 10}. What is prob of picking 1 a and 1 d? 40/91 Three letters picked without replacement from {r: 3, x: 4, a: 3, k: 5, z: 1, l: 1}. What is prob of picking 2 r and 1 a? 9/680 Three letters picked without replacement from ejndddmdndnuemdmnem. Give prob of picking 1 e, 1 ...
{ "pile_set_name": "DM Mathematics" }
= -4*t + 9. What is -2*o(n) + 6*x(n)? 2*n - 12 Let u(x) = 4*x + 4 - 15 + 11. Let b(n) = 11*n. Calculate 6*b(m) - 17*u(m). -2*m Let k(t) = 2*t - 21. Let j be k(6). Let y(f) = 2. Let b(g) = g + 8. Calculate j*y(o) + 2*b(o). 2*o - 2 Let i(x) = -x**2 + 4*x - 2. Let v be i(6). Let k(j) = -4*j - 3. Let b(t) = -t - 1. Let a(y...
{ "pile_set_name": "DM Mathematics" }
e nearest 100? 31300 Let s = -1139.6955 - -1140. Round s to one dp. 0.3 Let a = -19297 + 19275.851. What is a rounded to the nearest integer? -21 Suppose -4*w = c + 15, 0*w = -3*w - 12. Let t = -827 + 642. Let i be c + t + 1 + 0. Round i to the nearest 10. -180 Let g = 412537779.99999937 - 412537720. Let k = -1.078 + 6...
{ "pile_set_name": "DM Mathematics" }
= -0.06 - 0.44. Which is the closest to 0? (a) 2 (b) k (c) 2/3 b Let h = -23 + 18. Let k = 1 - h. Let x be k/(-10)*(-7)/21. Which is the nearest to 0? (a) 5 (b) x (c) -1/6 c Let i = -0.3777 + 0.2777. What is the closest to -2/171 in i, -2, -1? i Let y = 2575 + -2574.5. What is the nearest to 1 in 2, y, 3/5, 17? 3...
{ "pile_set_name": "DM Mathematics" }
Let x = 4 - 9. What is the remainder when h(-3) is divided by (x + (-39)/6)/(2/(-4))? 20 Let c(x) = -x**2 + 15*x - 9. Let u be c(11). Let w = 74 - u. Let i = w - 33. What is the remainder when 14 is divided by i? 2 Let k(x) = 2*x - 7. Let r(p) = 4*p - 14. Let h(j) = -7*k(j) + 3*r(j). Let f(l) = l**3 - 3*l**2 - 3*l + 5...
{ "pile_set_name": "DM Mathematics" }
2, 151, 1499 List the prime factors of 975732. 2, 3, 17, 4783 What are the prime factors of 446042? 2, 83, 2687 List the prime factors of 864537. 3, 288179 List the prime factors of 141046. 2, 109, 647 What are the prime factors of 4284994? 2, 7, 19, 89, 181 What are the prime factors of 7673584? 2, 479599 What are the...
{ "pile_set_name": "DM Mathematics" }
rest 100000. 700000 What is 91.058 rounded to the nearest 10? 90 Round 242.71273 to 1 decimal place. 242.7 Round 0.00208676 to 5 dps. 0.00209 Round -1169.065 to the nearest one thousand. -1000 What is 243.53102 rounded to the nearest 10? 240 Round 0.00059777 to 4 dps. 0.0006 Round 1.244174 to 3 decimal places. 1.244 Wh...
{ "pile_set_name": "DM Mathematics" }
Let p(d) = -d + 2. Suppose -5*r = -r + 24. Let z be -12*1/8*r. Let s = 15 - z. Let g(h) = -h + 2. Determine s*p(u) - 5*g(u). -u + 2 Let n(r) = -r**2 - 2*r - 1. Let v(s) be the first derivative of -s**3/3 + s - 7. Determine n(f) - 3*v(f). 2*f**2 - 2*f - 4 Let i(q) = -15*q**2 - 7*q - 1. Let r(m) = 13*m**2 + 6*m. Let g(c)...
{ "pile_set_name": "DM Mathematics" }
v (c) p b Let o be (-17)/(-20) - (-3)/(-5). What is the second smallest value in o, 5, -2/7? o Let r be (-643956)/(-117) - -2 - 0. Let v = r + -5507. Let w = -10/13 - v. What is the second smallest value in -0.2, w, -0.3? -0.2 Let g = -12.8 + 14. Let w = -0.9 + g. Which is the biggest value? (a) w (b) 2 (c) -1/4 b...
{ "pile_set_name": "DM Mathematics" }