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36*w**5/115 - 27*w**4/46 + 2080*w**3/69 + 2028*w**2/23 - 4441. Determine u so that k(u) = 0. -6, -2, 0, 13 Suppose -k + 4*k = 3*d + 753, 2*d = 4*k - 1000. Let c be k/15 + 3/10*2. Factor 32/5*r**5 + 22/5*r + 2/5 + 146/5*r**3 + 112/5*r**4 + c*r**2. 2*(r + 1)**3*(4*r + 1)**2/5 Let f = -35 + 115. Suppose -4*d = -q - 0*q -...
{ "pile_set_name": "DM Mathematics" }
ify sqrt(13)*-3 + 5 - (sqrt(13) + (sqrt(13) - ((sqrt(13)*3 - sqrt(13)) + 5))). -3*sqrt(13) + 10 Simplify 5 + sqrt(363) + -3 + sqrt(363). 2 + 22*sqrt(3) Simplify 2*(2 + 1*sqrt(320) + (sqrt(20) + sqrt(5))*1). 4 + 22*sqrt(5) Simplify ((sqrt(38) + sqrt(3078)*3 + sqrt(3078))/sqrt(2))**2. 26011 Simplify (sqrt(540)/sqrt(6))/(...
{ "pile_set_name": "DM Mathematics" }
2 + 3*i - 18 What is the m'th term of -22982, -22973, -22950, -22907, -22838? m**3 + m**2 - m - 22983 What is the p'th term of 1361, 3435, 6227, 9743, 13989, 18971, 24695? p**3 + 353*p**2 + 1008*p - 1 What is the v'th term of 286, 201, 130, 79, 54? v**3 + v**2 - 95*v + 379 What is the h'th term of 18819, 37636, 56453, ...
{ "pile_set_name": "DM Mathematics" }
s) be the second derivative of -5*s**4/12 - 3*s**2/2 + 3*s. Let v(c) = -16*c**2 - 12 + 26 - 11 - 5 - 8. Let m = -20 - -30. Determine m*i(g) - 3*v(g). -2*g**2 Let m(o) = -3*o - 3. Let r(y) = -4*y - 3. Determine -6*m(p) + 5*r(p). -2*p + 3 Let t(z) = z - 4. Let p(b) = -1. Suppose -227*r + 46 = -204*r. Determine r*p(o) + t...
{ "pile_set_name": "DM Mathematics" }
w(a). Calculate x(-7). 9 Let f(g) = -8*g**3 - g**2 + 1. Let h(v) = v**3 + 6*v**2 + 5*v + 2. Let k be 10/4*6/(-3). Let b be h(k). Let q be (b/(-4))/((-9)/(-18)). What is f(q)? 8 Let r = 5 + 17. Suppose 4*v = -2*y + r, -4*v + 4*y - y = -7. Let t(c) = -c**2 + 4*c + 3. Determine t(v). 3 Let h(p) be the second derivative o...
{ "pile_set_name": "DM Mathematics" }
denominator of -23/108 and -53/1370? 73980 Find the common denominator of -73/71037 and 89/72. 568296 Calculate the smallest common multiple of 2548 and 392. 5096 What is the common denominator of -109/89400 and 121/89400? 89400 What is the common denominator of -127/1026 and -55/1539? 3078 Calculate the smallest comm...
{ "pile_set_name": "DM Mathematics" }
Let s(i) = 7*o(i) + 3*t(i). List the prime factors of s(-8). 2 Let m(n) = 3*n. Let g be m(3). Suppose -g = -w - 0*w. Suppose -k + w = 2*l, 0*k + 2 = k - 5*l. List the prime factors of k. 7 Let u(p) be the first derivative of 16*p - 1/2*p**2 - 2. What are the prime factors of u(0)? 2 Let c(o) = o**3 + 6*o**2 - o - 7. Li...
{ "pile_set_name": "DM Mathematics" }
n four letters picked without replacement from {z: 1, w: 4, o: 5, p: 3}. 3/286 What is prob of sequence zn when two letters picked without replacement from {z: 2, n: 4}? 4/15 What is prob of sequence degg when four letters picked without replacement from ggggdgggggdgeee? 3/182 Two letters picked without replacement fro...
{ "pile_set_name": "DM Mathematics" }
Let b = -137622 + 202750. Let q = 30687 - b. Let g = -94441 - q. What is g rounded to the nearest ten thousand? -60000 Let k = -37 + 40. Suppose u + 14 = k*u. Let i(a) = -21*a**3 - 8*a**2 - a + 2. Let o be i(u). What is o rounded to the nearest one thousand? -8000 Suppose 4*s + 9563535 = -3*k, 0 = 27*s - 30*s + 5*k - ...
{ "pile_set_name": "DM Mathematics" }
8*t**2. Calculate y(w(j)). 63*j**2 Let w(o) = -93*o + 252093 - 252093 - 51*o - 78*o. Let u(q) = q. Give u(w(s)). -222*s Let s(n) = 44*n - 684. Let a(v) = -v + 57. Let j(l) = 12*a(l) + s(l). Let x(b) = 68*b - 1. Determine x(j(y)). 2176*y - 1 Let k(t) = 3*t**2 + 2*t. Let p(m) be the first derivative of m**3/3 - 778. Dete...
{ "pile_set_name": "DM Mathematics" }
ulate the remainder when c is divided by 5. 2 Suppose 0 = -36*t + 38*t - 26. Calculate the remainder when t is divided by 4. 1 Suppose 2*o - 50 = 3*l - 5*l, -4*o + l = -115. Calculate the remainder when 137 is divided by o. 25 Suppose -5*s + 13 - 3 = 0. Calculate the remainder when s/(-8) - 327/(-12) is divided by 152/...
{ "pile_set_name": "DM Mathematics" }
number? False Suppose b - 3495 + 1247 = 0. Suppose 3*n - b = -n + 4*z, -4*z + 1106 = 2*n. Is n prime? False Let f(v) = -15*v**3 - 2*v**2 - 4*v - 2. Let z be 2*(-3 - 9/(-2)). Suppose 4*c - 16 = 0, 4*r - z*c = -14 - 10. Is f(r) a prime number? True Suppose -5*y - 2908 - 4202 = 0. Let i be (-1*1)/(6/y). Suppose 4*j = j +...
{ "pile_set_name": "DM Mathematics" }
, 7*t = 5*z + b*t + 20 for z. 1 Let c be 15/(-4)*8/(-3). Suppose -5*m = -c*m - 35. Let p = -3 - m. Solve a - r = 5, -3*a + p + 3 = 5*r for a. 4 Suppose -15 = -3*r - 6. Let k = 1007 + -1004. Solve r*q = 3*j - 6, -k*q = -2*q - 3*j - 2 for q. -4 Let a(p) = -p**3 + 7*p**2 - 11*p + 7. Let d be a(5). Let f be 12/((-15)/12 + ...
{ "pile_set_name": "DM Mathematics" }
cc88? 10323 In base 3, what is -2121120222111110 - 1? -2121120222111111 In base 8, what is -146161 - 532? -146713 In base 13, what is 3 + -31917b? -319178 In base 12, what is 1182 - 123b? -79 In base 15, what is -9a1 - b248? -bbe9 In base 9, what is -38557 + 16403? -22154 In base 4, what is -20122130201 - 11000? -20122...
{ "pile_set_name": "DM Mathematics" }
s divided by y? 55 Let o(l) = -6*l + 34. Let c(b) = -25*b + 137. Let k(n) = -2*c(n) + 9*o(n). What is the remainder when k(-16) is divided by 2392/72 + (-2)/9? 30 Suppose -4*b + 2*j + 8587 = -3755, -5*b = 4*j - 15447. Calculate the remainder when b is divided by 103. 100 Suppose -n + 4*h = -542, -1125*h - 2764 = -5*n -...
{ "pile_set_name": "DM Mathematics" }
d c to the nearest 10. -60 Let r = 112571.7 - 112571.85500127. Let s = -0.155 - r. Round s to seven dps. 0.0000013 Suppose -2*v = -32 - 18. Let n be -1 - -1 - v*760. What is n rounded to the nearest 10000? -20000 Suppose -5*h - 37199 = 3*x, 4*x + 28710 + 20907 = -3*h. Let j = 5292 - x. What is j rounded to the nearest ...
{ "pile_set_name": "DM Mathematics" }
193*v**3. -15257*v**3 Expand -4*n**2 - n**5 + 4*n**2 + (2 + n**4 - 2)*(4 - 4 + 2*n) + (22*n**2 + 18*n**2 - 10*n**2)*(5*n**3 + 0*n**3 + 0*n**3). 151*n**5 Expand (-32*v**3 + 18*v - 20*v + 109*v**3)*(0*v + 0*v + 2*v) + (4*v - 4*v + 4*v)*(5*v**3 + v**3 - 2*v**3). 170*v**4 - 4*v**2 Expand ((-1 + 0 + 4)*(-3 + 2*b + 3) - 4*b ...
{ "pile_set_name": "DM Mathematics" }
ose 3*q = l - 42, q + 58 = l + d. What are the prime factors of l? 2, 3 Suppose 5*j - 52 = j. Suppose 0 = z - j - 0. List the prime factors of z. 13 Let c(i) be the third derivative of i**6/360 + i**5/30 - i**4/8 - i**3/6 - i**2. Let a(f) be the first derivative of c(f). What are the prime factors of a(-5)? 2 Let o(k) ...
{ "pile_set_name": "DM Mathematics" }
33*c - 3*c = 6*c - 648 for c. -27 Solve 26*i - 1929 + 1026 = -1007 for i. -4 Solve -58*u = -305*u - 2964 for u. -12 Solve -24 = 16*b - 22*b for b. 4 Solve 2*s = -128 + 116 for s. -6 Solve 0 = 31*a - 147 + 767 for a. -20 Solve g + 206 - 212 = 0 for g. 6 Solve -234*i - 7 = 4 - 11 for i. 0 Solve -41*w = -21*w + 12*w - 224...
{ "pile_set_name": "DM Mathematics" }
o -2 in x, 4/3, c? x Let s = -0.68 - -0.68. What is the nearest to 1 in s, 5, 1/2, 0.3? 1/2 Let f = -32 - -35. Suppose t = f*t. Which is the nearest to t? (a) -4 (b) -3/2 (c) 0.5 c Let d = -622 - -619. Which is the closest to -0.27? (a) 6 (b) -2/3 (c) d b Let m = 2.7 - 3. Let v = 0.162 + -0.262. What is the neare...
{ "pile_set_name": "DM Mathematics" }
y 338? 325 What is the remainder when 121055 is divided by 2815? 10 What is the remainder when 47767 is divided by 758? 13 Calculate the remainder when 7104752 is divided by 235. 232 What is the remainder when 2305 is divided by 708? 181 Calculate the remainder when 47225 is divided by 192. 185 What is the remainder wh...
{ "pile_set_name": "DM Mathematics" }
+ 6*d + 1/12*d**4 + 3/2*d**2 + 3 + 1/2*d**3. Determine k(-3). -24 Let g(x) be the third derivative of x**5/30 - x**4/4 + 5*x**3/6 + 41*x**2 + 23. Calculate g(-5). 85 Let g be 24*(-3 + (1 - 5 - (-58)/8)). Let w(s) = -s**3 + 5*s**2 - 2*s. What is w(g)? -48 Let l = 1 + 1. Suppose 0 = -17*t + l*t + 90. Let y(r) = -r**2 + ...
{ "pile_set_name": "DM Mathematics" }
ase 6. 1421 Convert -3 (base 5) to base 16. -3 1 (base 8) to base 11 1 Convert 37 (base 12) to base 9. 47 What is -212 (base 3) in base 4? -113 Convert -6d (base 16) to base 13. -85 -1b (base 12) to base 8 -27 What is -32 (base 13) in base 3? -1112 -21 (base 8) to base 3 -122 1 (base 12) to base 6 1 Convert -14 (base 6...
{ "pile_set_name": "DM Mathematics" }
culate 1/22*84/(-147)*7. -2/11 (-1)/6*-3*0 0 Calculate 27/6*2*(-2)/6. -3 (105/(-14))/15*(-4)/10 1/5 What is -6*(-10)/(-20)*(-2)/(-2)? -3 Evaluate (-56)/(-240)*12/21. 2/15 Evaluate 40/(-96)*12/(-20). 1/4 Evaluate (1*-1)/((-133)/228*-4). -3/7 Evaluate (4/(-54))/(100/150). -1/9 What is the value of (-25)/40*16/(-40)*6? 3/...
{ "pile_set_name": "DM Mathematics" }
-p. Is l prime? True Let j(a) = a**2 - 57. Let y be j(0). Let c(s) = -s**3 + 8*s**2 - 15*s - 17. Let l be c(6). Let o = l - y. Is o composite? True Is (-1451 - -22)*(0 + -3) a prime number? False Let v(t) = t**2 + 9*t - 11. Let k be v(-10). Let q be (k - -28)*71/3. Let g = q + -428. Is g composite? False Let b(j) = j*...
{ "pile_set_name": "DM Mathematics" }
erm of 38888, 70122, 101344, 132548, 163728, 194878, 225992? -c**3 + 31241*c + 7648 What is the d'th term of 38337223, 76674412, 115011601? 38337189*d + 34 What is the s'th term of 4697, 10071, 16139, 22907, 30381, 38567, 47471, 57099? s**3 + 341*s**2 + 4344*s + 11 What is the n'th term of -6450986, -12901973, -1935296...
{ "pile_set_name": "DM Mathematics" }
2*q - 224 Find the third derivative of 318*b**6 + 199*b**3 + 9*b**2 + 81559 wrt b. 38160*b**3 + 1194 What is the second derivative of -5316*i**4 - i**3 + 38*i**2 - 3369350*i wrt i? -63792*i**2 - 6*i + 76 What is the second derivative of -25*o**3*s**5 + 502*o**3*s**2 - 9*o**3 + 679*s wrt s? -500*o**3*s**3 + 1004*o**3 Wh...
{ "pile_set_name": "DM Mathematics" }
? False Is 4 greater than 165/41? False Is -22/183 bigger than 1? False Which is smaller: -105 or -103? -105 Which is smaller: -1 or 1/9? -1 Which is smaller: -1965 or -1966? -1966 Which is bigger: 56/13 or -1? 56/13 Which is bigger: 35 or 3? 35 Is 1 < 1/598? False Which is greater: 395 or 45? 395 Does 1 = -3/7? False ...
{ "pile_set_name": "DM Mathematics" }
hat is -359951 rounded to the nearest one hundred thousand? -400000 Round 135.67998 to two dps. 135.68 Round -110087000 to the nearest 100000. -110100000 What is -1551.06 rounded to the nearest one hundred? -1600 What is 0.05148082 rounded to 4 dps? 0.0515 What is 0.000664274 rounded to 4 dps? 0.0007 What is 1081528 ro...
{ "pile_set_name": "DM Mathematics" }
e of 6? True Let s = -81 - -32. Is -8 - -4 - -3*1 - s a multiple of 8? True Let r(o) = 3*o + 32. Let f be r(8). Suppose -5*z - 15 = 0, -408 = -5*x - 0*x + z. Let q = x - f. Is q a multiple of 15? False Does 124 divide -8908*11/(-44) + -6? False Let v(a) = a**3 - a**2 + a + 1. Let l(j) = 4*j**3 - 7*j**2 + 4*j + 7. Let o...
{ "pile_set_name": "DM Mathematics" }
rt(85) + 3*sqrt(85)*2 - sqrt(85))/(sqrt(60)/(1*sqrt(12))))**2. 833 Simplify -5 + (sqrt(3) - sqrt(21)/(sqrt(21)/sqrt(3))). -5 Simplify sqrt(119)/(sqrt(7)*3) + -1. -1 + sqrt(17)/3 Simplify 5*(sqrt(32) + 2). 10 + 20*sqrt(2) Simplify sqrt(9)/sqrt(12)*-1. -sqrt(3)/2 Simplify (((sqrt(2057) - (sqrt(2057) - (3 + -2 + sqrt(2057...
{ "pile_set_name": "DM Mathematics" }
/5? -0.3 Let n be (1/(6 + -7))/((-22)/(-4)). Which is the closest to -0.33? (a) -7 (b) n (c) 4 b Let f = 1.1 - 1. Let l = -849 + 844.69. Let i = l + 0.31. Which is the closest to f? (a) 3 (b) -5 (c) i a Let n(o) = -o**3 + 3*o**2 - 2*o. Let x be n(2). Let w = -0.15 + -81.85. Let p = 84 + w. Which is the closest to...
{ "pile_set_name": "DM Mathematics" }
prob of sequence xd? 1/102 Two letters picked without replacement from bebbbbbbebbbbbebbbe. What is prob of sequence bb? 35/57 Calculate prob of sequence bsb when three letters picked without replacement from sbsb. 1/6 Calculate prob of sequence bob when three letters picked without replacement from bhhobo. 1/30 What i...
{ "pile_set_name": "DM Mathematics" }
-2/5 (c) -1/6 (d) 4/21 b What is the closest to 14 in -2/5, 5, -4, 3? 5 What is the nearest to -7 in 17, 0.1, 2/7? 0.1 What is the nearest to -24 in 3/8, -5, -2, 0.6? -5 Which is the closest to -0.1? (a) 4 (b) 3/4 (c) 13 (d) 0.03 d What is the closest to -1/2 in 5, -0.4, -2, 0.13? -0.4 Which is the nearest to 8?...
{ "pile_set_name": "DM Mathematics" }
817185 to the power of 1/2, to the nearest integer? 1678 What is the third root of 13548701 to the nearest integer? 238 What is the square root of 3114495 to the nearest integer? 1765 What is 242973 to the power of 1/5, to the nearest integer? 12 What is 187598 to the power of 1/10, to the nearest integer? 3 What is th...
{ "pile_set_name": "DM Mathematics" }
What is -41841 divided by -1? 41841 -3680 divided by -58 1840/29 Divide -409632 by 6. -68272 What is 93120 divided by -320? -291 Divide 2175 by 76. 2175/76 Divide -62544 by 12. -5212 Calculate -196424 divided by -43. 4568 What is -108 divided by 1739? -108/1739 -132996 divided by 3 -44332 Calculate 23821 divided by 83...
{ "pile_set_name": "DM Mathematics" }
hen 449 is divided by g? 1 Suppose 19*s + 227 - 721 = 0. What is the remainder when 412 is divided by s? 22 Let y = -1601 + 1640. What is the remainder when y is divided by 23? 16 Suppose 0 = p - 357 + 119. Let i = p - 217. Calculate the remainder when 71 is divided by i. 8 Let c = -14 - -19. Suppose c*o = 2*k + 485, 2...
{ "pile_set_name": "DM Mathematics" }
3/9 + (-200)/t a prime number? True Let u(o) = -833*o + 2. Is u(-1) composite? True Is 309 + -2 + 0 + 0/1 prime? True Is 66 - (0 - -1)*-1 prime? True Let t(f) = -72*f - 2. Let a be t(-4). Suppose -2*g = -2*q + a, -2*q + 278 = 3*g - g. Is q composite? True Let y(b) = 5*b**2 - 4*b - 13. Is y(-6) a composite number? False...
{ "pile_set_name": "DM Mathematics" }
32*j + 204029 = -128*j + v. Is j composite? True Let y(p) = -80*p**2 + 163*p**2 + 2*p + 5*p + 11 + 6*p**3 - 82*p**2. Is y(5) composite? False Suppose y + x - 88 = 0, 5*y - x - 193 - 253 = 0. Is y a prime number? True Suppose -2*r + 5*m - 9*m + 1946 = 0, -3*m - 1967 = -2*r. Is r prime? False Let v be 3*7*(-11)/33. Let o...
{ "pile_set_name": "DM Mathematics" }
e f(9). -39 Let r(j) = 2*j**3 - 68*j**2 + 241*j - 32. What is r(30)? -2 Let g(d) = -d**2 + 41*d + 2233. What is g(72)? 1 Let d(r) = -14*r + 632. Determine d(25). 282 Let b(w) = -2*w - 76. Give b(7). -90 Let w(n) = -11*n**2 - 218*n + 40. Give w(-21). -233 Let r(f) = -f**2 + 15*f - 43. Give r(8). 13 Let y(b) = -490*b - 4...
{ "pile_set_name": "DM Mathematics" }
earest to 0 in -0.4, l, 0.22? 0.22 Suppose -4*i - 73 + 67 = -g, 0 = 3*g + 3*i + 12. Which is the closest to -0.2? (a) g (b) 0.42 (c) 8 b Let k = 6 + -11. Let j be 5/35 + k/(-63). Let w = 213 - 212.95. Which is the closest to -0.1? (a) 2 (b) w (c) j b Let u = 0.1 + -0.3. Let n = 239 + -58.5. Let k = 181 - n. What ...
{ "pile_set_name": "DM Mathematics" }
t the prime factors of 3021772172. 2, 17021, 44383 List the prime factors of 23024881. 11, 2093171 What are the prime factors of 1188883761? 3, 13, 431, 70729 What are the prime factors of 756914587? 11, 13, 29, 37, 4933 What are the prime factors of 463388985? 3, 5, 3432511 List the prime factors of 14999190. 2, 3, 5,...
{ "pile_set_name": "DM Mathematics" }
es are there between 1:08 PM and 9:31 PM? 503 How many minutes are there between 11:15 PM and 3:06 AM? 231 How many minutes are there between 7:43 PM and 12:52 AM? 309 How many minutes are there between 6:11 PM and 12:50 AM? 399 How many minutes are there between 9:31 AM and 11:34 AM? 123 How many minutes are there bet...
{ "pile_set_name": "DM Mathematics" }
mmon factor of b and y. 3 Let j = 129 + -24. Let x be (1/2)/((-3)/(-30)). Suppose 17 = x*a - 4*a + 2*v, -4*a + 82 = v. What is the greatest common divisor of j and a? 21 Let z(x) = 4*x - 7. Let w = 16 + -10. Let l be z(w). Let o be 1662/14 + (-4)/(-14). Calculate the greatest common factor of o and l. 17 Let f be 4/(-2...
{ "pile_set_name": "DM Mathematics" }
0367, 250366, 250365, 250364, 250363? -y + 250369 What is the p'th term of 436, 857, 1242, 1573, 1832, 2001, 2062? -3*p**3 + 442*p - 3 What is the b'th term of -106080, -106082, -106084, -106086, -106088? -2*b - 106078 What is the d'th term of 37141, 74274, 111409, 148546? d**2 + 37130*d + 10 What is the n'th term of 2...
{ "pile_set_name": "DM Mathematics" }
- w. Is k <= 1? True Suppose 2*x - 4*a = -8, -4*x + x - 3*a - 48 = 0. Let r = x + 14. Which is greater: 4 or r? 4 Let s(h) = 7*h + 7. Let o(z) = 3*z + 4. Let q(x) = -5*o(x) + 2*s(x). Let c be q(-6). Is -5/4 <= c? True Let c = 2 + -1. Let q(a) = -12*a**2 - 2*a + 2. Let j be q(c). Are -11 and j unequal? True Let a = 15 -...
{ "pile_set_name": "DM Mathematics" }
c + 4. Let p(o) = -22*o**2 - 1. Let f(h) = -10*p(h) - 2*v(h). What is f(4)? 26 Let h = 633 - 628. Let f(a) = 6*a**2 + a. Let z(q) = 6*q**2 + q. Let c(o) = h*f(o) - 6*z(o). Determine c(1). -7 Let n(r) be the first derivative of -3*r**4/4 + 2*r**3/3 - r**2 + 2*r + 682. Calculate n(2). -18 Let u be -3 - ((-21)/(-4))/(6/16...
{ "pile_set_name": "DM Mathematics" }
36*i - 884 Find the third derivative of 149*g**4*y - g**2 + 2*g*y + 14*y wrt g. 3576*g*y Find the second derivative of 15*m**3 + 23*m**2 + 2219*m. 90*m + 46 Find the second derivative of 2*h**5*r - 1370*h**3*r - 1647*h*r wrt h. 40*h**3*r - 8220*h*r Differentiate 3624*d**3*n - 1833*d**3 with respect to n. 3624*d**3 Fin...
{ "pile_set_name": "DM Mathematics" }
ncreasing order. -2, 3, i Suppose -224*j = -3*m - 228*j + 29, j = -5*m + 54. Sort 2, m, -5, -6 in increasing order. -6, -5, 2, m Let r = 2904 + -2899. Let s = 0 - -0.1. Put s, r, 0 in increasing order. 0, s, r Let h = -249 - -246. Let q = 1 + 2. Suppose -6 = 3*f + 6. Put q, h, f in increasing order. f, h, q Let u be (-...
{ "pile_set_name": "DM Mathematics" }
many minutes are there between 5:07 AM and 6:39 AM? 92 How many minutes are there between 7:17 AM and 7:03 PM? 706 What is 459 minutes after 10:52 PM? 6:31 AM What is 56 minutes after 9:55 AM? 10:51 AM How many minutes are there between 5:50 AM and 2:53 PM? 543 How many minutes are there between 2:21 PM and 9:24 PM? 4...
{ "pile_set_name": "DM Mathematics" }
- 432 = -6*c for l. -4 Solve -4*v + 14788*l = 14791*l + 20, -l - 10 = 2*v for v. -5 Solve 5*q = -3*r + 4*q - 57, -109 - 155 = 8*r + 5*q for r. -3 Solve -500*d + 270*d + 351 = -257*d + 4*g, 4*g - 45 = -3*d + 156 for d. -5 Solve -279*q - 210 = -274*q - k, q - 425 = 11*q - 3*k for q. -41 Solve j - 189 = -4*u, 3*j + 3*u - ...
{ "pile_set_name": "DM Mathematics" }
he remainder when 23833595 is divided by 5958398? 3 Calculate the remainder when 1390749 is divided by 336. 45 Calculate the remainder when 101088 is divided by 311. 13 What is the remainder when 46926198 is divided by 106? 104 What is the remainder when 35103948 is divided by 17551867? 214 What is the remainder when 3...
{ "pile_set_name": "DM Mathematics" }
10*z**2 + 6*z + 1 What is the c'th term of -495, -991, -1487? -496*c + 1 What is the m'th term of 61, 25, -39, -143, -299, -519, -815, -1199? -2*m**3 - 2*m**2 - 16*m + 81 What is the a'th term of -10699, -10698, -10697, -10696? a - 10700 What is the i'th term of -173, -351, -533, -719, -909? -2*i**2 - 172*i + 1 What is...
{ "pile_set_name": "DM Mathematics" }
ed to 3 dps? 0.013 Let j be 1/(2 - 26523/13263). Let u = 121 - j. What is u rounded to the nearest 1000? -4000 Let u = 940395138704.440069 + -940395795246. Let o = u + 656541. Let f = o + 0.56. What is f rounded to five dps? 0.00007 Let g = -142.411 + 143. Let x = -0.632 - g. Let w = x + 0.061. What is w rounded to 1 d...
{ "pile_set_name": "DM Mathematics" }
-3/7? (a) -0.2 (b) -10/9 (c) -2.3 (d) 3/4 (e) 96 a Which is the closest to -18? (a) 0.5 (b) 1.7 (c) 2/3 a What is the closest to -3/50 in 0.3, -0.02, -3, 0.2? -0.02 Which is the closest to -3/7? (a) -2027 (b) 0.09 (c) -1 b Which is the nearest to 9? (a) -0.2 (b) 6.8 (c) 9 (d) 2 (e) 4 c Which is the clos...
{ "pile_set_name": "DM Mathematics" }
+ 676, -2*d + 3*z = -324. Suppose 0 = 4*l - r - 357, 2*l - d = 9*r - 5*r. Calculate the highest common factor of l and 60. 30 Let y be 1/(-20) - (-16557438)/13560. Calculate the highest common divisor of 1023 and y. 33 Let g(h) be the third derivative of h**5/30 - h**4/4 - 19*h**3/3 + 13*h**2 + 7*h. Let j be g(10). Wh...
{ "pile_set_name": "DM Mathematics" }
. 3 Let r(a) = -392*a**2 + 49783*a + 119. Give r(127). -8 Let g(q) = 6*q**3 + 505*q**2 + 135*q + 376. Give g(-84). -3908 Let q(l) = 25*l**3 + 3*l**2 - 17*l - 45. Determine q(-4). -1529 Let a(m) = 5407*m + 929980. What is a(-172)? -24 Let t(g) = -g**2 + 185*g - 4431. Determine t(23). -705 Let c(w) = -1315*w - 545711. Wh...
{ "pile_set_name": "DM Mathematics" }
ulate the remainder when 642 is divided by 142. 74 What is the remainder when 2638 is divided by 120? 118 What is the remainder when 98 is divided by 31? 5 What is the remainder when 9837 is divided by 13? 9 Calculate the remainder when 21 is divided by 11. 10 What is the remainder when 1559 is divided by 26? 25 Calcul...
{ "pile_set_name": "DM Mathematics" }
4 (c) -2/3 (d) y c Let r(p) = -p + 36. Let s be r(12). Let l = 12.3 - 12. What is the biggest value in 5/2, s, l, -3? s Let y = 241 - 240.98. What is the fourth biggest value in y, 0.03, 4/7, -2? -2 Suppose 0 = -3*m, -5*t + 15 = -2*m + 30. What is the third biggest value in t, 42, -2, 0.4? -2 Let r(z) = -2*z**3 + 1. ...
{ "pile_set_name": "DM Mathematics" }
64992 a multiple of 87? False Does 39 divide 332230? False Does 377 divide 6976319? False Is 334252 a multiple of 2? True Is 606891 a multiple of 4? False Is 517448 a multiple of 4? True Is 648 a factor of 624069? False Is 78273 a multiple of 13? True Is 155 a factor of 8702320? True Does 153 divide 22066884? True Is 3...
{ "pile_set_name": "DM Mathematics" }
rms in -40*g - 10*g - 43*g + 24*g. -69*g Collect the terms in -2274 + 5665 + 17*o + 4095. 17*o + 7486 Collect the terms in 0*g**2 + 585*g**3 + 0*g**2 - 583*g**3. 2*g**3 Collect the terms in -5 - 110288*m + 110756*m + 5. 468*m Collect the terms in 107*r**2 - 63*r**2 - 35*r**2. 9*r**2 Collect the terms in 45466*m - 3 - 4...
{ "pile_set_name": "DM Mathematics" }
t m? -18*a**2 + 60*a*h*w - 6*w What is the third derivative of -30*b**6 + 64*b**2 wrt b? -3600*b**3 Find the third derivative of 4842*b**2*v**5 + 132*b**2*v**2 - 21*b**2 wrt v. 290520*b**2*v**2 Find the third derivative of 116*u**4 - 3*u**3 + 359*u**2. 2784*u - 18 What is the third derivative of 3*c*u**4 - 16*c*u**2 - ...
{ "pile_set_name": "DM Mathematics" }
*r + 18*r**2 + 8*r. What is the remainder when m(-1) is divided by 10? 8 Suppose 2*s - 12 = 4*k, -4 = -2*k - 2*k. Let p = s + 9. Calculate the remainder when 33 is divided by p. 16 Let y(s) = -1 + 7*s**3 - 3*s**2 + 9*s**3 - 17*s**3 - 2*s. What is the remainder when 9 is divided by y(-3)? 4 Let i(x) = 2*x + 7. Calculate...
{ "pile_set_name": "DM Mathematics" }
+ 3. Let d be g(4). Suppose n - 115 - 20 = 0. What is the highest common factor of d and n? 15 Let q = 47 + 97. Calculate the greatest common factor of 16 and q. 16 Let r(m) = 5*m**3 + 4*m. Let b be 0 - (2 + -1 + -4). Let l be r(b). What is the highest common factor of l and 21? 21 Let i(g) = 110*g**2 + 5*g + 3. Let v ...
{ "pile_set_name": "DM Mathematics" }
4 = 26*l. Suppose l*d + 424 = 4*u, -5*d - 197 = -3*u + u. Calculate the remainder when u is divided by 32. 15 Let u = -470 + 472. Suppose -76 = -2*z - u*l, -5 = -z + 3*l + 29. Calculate the remainder when z is divided by 20. 17 What is the remainder when 5/(140/(-14))*-318 is divided by 32? 31 Suppose 5*m = 3*n - 6 - 7...
{ "pile_set_name": "DM Mathematics" }
b of sequence ll. 1/36 Four letters picked without replacement from uuwuwwuuuuw. Give prob of sequence wuuw. 7/110 Three letters picked without replacement from {e: 2, v: 2, y: 3, z: 4}. Give prob of sequence zvv. 4/495 Calculate prob of sequence uud when three letters picked without replacement from dddudzuzu. 1/21 Tw...
{ "pile_set_name": "DM Mathematics" }
e hundreds digit of (1/(-4)*-2)/((-16)/(-10656))? 3 Let t be 38/(-3)*9/(-6). Let i = 31 - t. What is the tens digit of i? 1 Let u(d) = -d**2 + 7*d - 6. Let w be u(5). Let j = w - 2. Suppose f - 1 = 0, -o - j*f = -0*o - 14. What is the tens digit of o? 1 Let x = 15 - 10. Let l(b) = b + 5. Let d be l(0). Suppose -f + 3 =...
{ "pile_set_name": "DM Mathematics" }
tive of -3*v**4 + 7*v**4 - 2*v**4 + a wrt v? 8*v**3 Suppose 5*p = 3*u + 2*u, 0 = -4*u + 2*p + 6. What is the second derivative of -x + 9*x + 3*x - 7*x**3 + 3*x**u wrt x? -24*x Let f(b) = -35*b**4 + 9*b**3 - b + 6. Let h(r) = -12*r**4 + 3*r**3 + 2. Let n(g) = 6*f(g) - 17*h(g). Find the second derivative of n(t) wrt t. -...
{ "pile_set_name": "DM Mathematics" }
the remainder when 67850 is divided by 74? 66 Calculate the remainder when 636 is divided by 167. 135 Calculate the remainder when 26359 is divided by 233. 30 What is the remainder when 72159 is divided by 475? 434 Calculate the remainder when 1496 is divided by 189. 173 What is the remainder when 48559 is divided by 1...
{ "pile_set_name": "DM Mathematics" }
after 3:59 PM? 11:49 PM What is 11 minutes before 3:57 PM? 3:46 PM What is 56 minutes after 8:36 AM? 9:32 AM How many minutes are there between 6:10 PM and 2:22 AM? 492 How many minutes are there between 1:37 AM and 3:19 AM? 102 What is 317 minutes before 9:39 AM? 4:22 AM What is 628 minutes before 3:10 PM? 4:42 AM How...
{ "pile_set_name": "DM Mathematics" }
-0.2, -1/7? -0.2 Which is the third smallest value? (a) -20/73 (b) 14 (c) -0.17 b Which is the biggest value? (a) 0.1 (b) 79/2 (c) 1 (d) -926 b What is the sixth smallest value in 11, 3/8, 1/5, -0.04, 15, 2? 15 Which is the fifth biggest value? (a) 142 (b) 0.5 (c) -4/3 (d) 56 (e) 1/3 c Which is the fourth b...
{ "pile_set_name": "DM Mathematics" }
llest value? (a) -45.9 (b) 0.02 (c) 3/2 a What is the third smallest value in 0.079, -0.1, -1/3, -1/5? -0.1 What is the second biggest value in 2/5, -2/5, -1/5, 0.12, -3? 0.12 What is the smallest value in -6/5, -37/3, 0.03? -37/3 Which is the smallest value? (a) 2 (b) 16 (c) 6/5 c What is the fifth biggest value...
{ "pile_set_name": "DM Mathematics" }
allest value in -5, -4, i? -5 Suppose 5*h + 7 = d, 6*d - 4*h + 4 = 2*d. Let r be (-48)/14 + -6 + 9. What is the third smallest value in d, r, -1/4? -1/4 Let q = 206 + -201.92. Let l = -0.08 + q. What is the smallest value in l, -5, -4? -5 Let d = 18.8 - 23.8. Suppose 0*o - 8 = 2*o. Let y = -0.08 + -2.92. Which is the t...
{ "pile_set_name": "DM Mathematics" }
/2*x**h + 3 = 0. Calculate x. -1, 1, 6 Let h(a) be the second derivative of 8*a + 1/6*a**4 + 0 + 2*a**3 + 5*a**2. Factor h(i). 2*(i + 1)*(i + 5) Determine y, given that y**3 - 2*y**2 + y**4 - 27537 + 27537 = 0. -2, 0, 1 Suppose 33 - 49 = -4*c. Factor -140*y**2 + 100*y + 4*y**4 - 14*y**4 - 2*y**4 + 44*y**3 + 8*y**c. -4*...
{ "pile_set_name": "DM Mathematics" }
j. 3, 11 Let r be (-4)/(-10)*-3*30. What are the prime factors of r/(-24) - (-118)/4? 31 Let n be ((-1)/2)/((-3)/(-48162)). List the prime factors of 2/9 - n/207. 3, 13 Let o(s) = -3*s**3 - 3*s**2 - s + 4. Let q be 15/(-1 - 2) + 2. List the prime factors of o(q). 61 Let y(l) = l + 264. Let f(w) = w**3 + 5*w**2 + 7*w + ...
{ "pile_set_name": "DM Mathematics" }
er 5:36 PM? 7:58 PM How many minutes are there between 8:22 AM and 11:13 AM? 171 What is 304 minutes after 2:50 AM? 7:54 AM What is 682 minutes before 10:06 AM? 10:44 PM What is 631 minutes before 12:25 AM? 1:54 PM How many minutes are there between 11:10 AM and 7:02 PM? 472 How many minutes are there between 6:50 AM a...
{ "pile_set_name": "DM Mathematics" }
2 Let a(q) = 95*q**2. Let z(j) = 25*j**2 + 11. Determine z(a(t)). 225625*t**4 + 11 Let x(f) = 5 - 5 - f. Suppose 5*b - 4*k = 2*b + 1, -3*b = -2*k - 5. Let c(r) = 0*r - 2*r + 6*r + b*r. Give x(c(v)). -7*v Let z(r) = 7*r**2. Let o(l) = -4*l**2 - 6. Let s(x) = 3*x**2 + 5. Suppose -5*v - 4*q - 30 = 0, q = 2*v + 18 - 6. Let...
{ "pile_set_name": "DM Mathematics" }
10391 to the nearest integer? 5 What is the square root of 382932 to the nearest integer? 619 What is 905872 to the power of 1/2, to the nearest integer? 952 What is 25747333 to the power of 1/2, to the nearest integer? 5074 What is the fourth root of 275056 to the nearest integer? 23 What is 182188 to the power of 1/2...
{ "pile_set_name": "DM Mathematics" }
ded by 180619? 190 What is the remainder when 36598 is divided by 35719? 879 What is the remainder when 7104739 is divided by 2368241? 16 What is the remainder when 543473 is divided by 180959? 596 Calculate the remainder when 544943 is divided by 380. 23 Calculate the remainder when 1417647 is divided by 708822. 3 Cal...
{ "pile_set_name": "DM Mathematics" }
of a kilogram in grams? 2750 What is 6.365363 grams in tonnes? 0.000006365363 Convert 167488.35 months to decades. 1395.73625 What is five sixths of a century in months? 1000 How many nanometers are there in one twentieth of a millimeter? 50000 Convert 5555.914g to tonnes. 0.005555914 What is 207.7139 centuries in mon...
{ "pile_set_name": "DM Mathematics" }
he third biggest value? (a) 1/5 (b) 5 (c) o c Let d be (1/21)/((-2)/(-6)). Suppose 0 = 3*s + a + 3 - 10, 0 = 4*s + 4*a + 4. Let r = 18.37 - 21.37. What is the third biggest value in s, d, r? r Let y = 544/705 + 4/141. Let k = -289 - -2021/7. Suppose 0 = -t + 2. Which is the biggest value? (a) k (b) t (c) 0.1 (d)...
{ "pile_set_name": "DM Mathematics" }
(v + 3)*(v + 114) Factor 4*z**3/7 + 6268*z**2/7 + 3046560*z/7 + 430372800/7. 4*(z + 247)*(z + 660)**2/7 Let 2*t**5 - 98*t**4 + 798*t**3 - 702*t**2 = 0. What is t? 0, 1, 9, 39 Solve -3*b**2/2 - 3945*b/2 = 0. -1315, 0 Suppose 2*a**2/5 - 262*a + 2612/5 = 0. What is a? 2, 653 Factor 4*w**2 - 52152*w - 52156. 4*(w - 13039)*...
{ "pile_set_name": "DM Mathematics" }
llest value in v, -4, -2? v Let g = 2.086 + -0.086. What is the fourth biggest value in g, 2/35, 5, -0.3? -0.3 Let s = -16 + 10. Let l = 5 + s. Let o = l + -3. What is the second smallest value in 1/2, o, 4? 1/2 Let l = -4.907 + 0.007. Let s = 5 + l. Let h = 137/95 - 16/19. What is the second biggest value in s, h, 2/7...
{ "pile_set_name": "DM Mathematics" }
derivative of -n - 4*p**2 + 14*p**6 + 16 wrt p. 1680*p**3 Let w(a) = 139*a**3 - 3*a**2 + 3*a - 5407. Let c(s) = -413*s**3 + 8*s**2 - 11*s + 16218. Let k(n) = 3*c(n) + 8*w(n). Find the first derivative of k(r) wrt r. -381*r**2 - 9 Suppose -87 = -5*v + 43. Find the third derivative of 64*l**5 - 11*l + 2*l**4 + v*l**2 + 1...
{ "pile_set_name": "DM Mathematics" }
*g - 2*g + 0*g. Give c(u(d)). 3*d Let o(c) = 25*c**2. Let a(i) = 8 - i**2 - 8. Calculate a(o(p)). -625*p**4 Let r be (-3)/2 - (-52)/8. Let n be r - 3/(3 + 0). Let g(d) = -d**2 + n*d + d - 5*d. Let p(f) = -7*f**2. What is p(g(a))? -7*a**4 Let d(i) = -1. Let j(l) = -l - 3. Let b(p) = 3*d(p) - j(p). Let k(c) = -14*c**2. G...
{ "pile_set_name": "DM Mathematics" }
a). Calculate u(b). -5 Let o(r) = 12*r**2 + 7*r + 5 - 11*r**2 + 0*r**2 + 3*r. Let l(c) = -2*c**3 + 59*c**2 + 31*c - 41. Let n be l(30). What is o(n)? 16 Let w(r) = -69*r - 266. Let m be w(-4). Let u(c) = -c**2 + 8*c - 6. What is u(m)? -26 Let g(s) = -4 - 10 - 14 - 12 - 6*s + 46. Let x be (-4)/(-3) - (-75)/45. What is g...
{ "pile_set_name": "DM Mathematics" }
= -3*q, d - 5 = c. What is the third derivative of q*y**2 - 2*y**2 + 5*y**6 - 4*y**6 wrt y? 120*y**3 Let u(y) be the second derivative of -y**5/2 - 15*y**4/4 + 6*y + 2. Find the third derivative of u(x) wrt x. -60 Let z(c) be the third derivative of 3*c**7/35 - c**5/3 + 20*c**2. Find the third derivative of z(i) wrt i...
{ "pile_set_name": "DM Mathematics" }
nd the third derivative of 5*a**5 - 6*a**2 + s*a - 29*a - 6*a**2 - a**3 wrt a. 300*a**2 - 6 What is the third derivative of 208*v**3 + 159*v**3 - 369*v**3 - 3417*v**2 - v**6 + 2639*v**5 wrt v? -120*v**3 + 158340*v**2 - 12 Let i(a) be the first derivative of -803*a**4/4 + a**2/2 - 8635*a - 3448. Differentiate i(p) wrt p...
{ "pile_set_name": "DM Mathematics" }
-j**3 + 8*j**2 - 2*j + 9. Determine i(8). -7 Let s(f) = f - 2. What is s(-1)? -3 Let a(i) = -2*i + 43. Give a(20). 3 Let u(i) = -i**3 - 8*i**2 - 10*i + 11. Calculate u(-4). -13 Let d(u) = -u**3 + 13*u**2 + 2*u - 19. Determine d(13). 7 Let m(b) = -b**3 - 19*b**2 + 2*b + 14. Give m(-19). -24 Let r(w) = -w**3 - 6*w**2 - 2...
{ "pile_set_name": "DM Mathematics" }
ator of 141/c*(-5)/(-4) and -149/18. 72 Let v(m) = -2*m**3 + m**2 + 11. Let c(u) = u**3 - u**2 - 6. Let g(b) = 7*c(b) + 4*v(b). What is the smallest common multiple of g(-4) and 6? 18 Suppose 2*f = -0*t - 2*t + 16, 3*f - 24 = 3*t. Let q be 1/(-2) - 178/(-4). Let v = -24 + q. Calculate the lowest common multiple of f an...
{ "pile_set_name": "DM Mathematics" }
f Let n = 29.69 + -1.19. Let s = -14.3 + n. Let u = s - 14. Is u >= 2? False Let s be (-1 - 2/(-4))/(-2). Suppose -20 = 5*t, 19 = 5*f - 2*f - t. Suppose 3*q + f = -2*j, 0*q + 5*j + 8 = -3*q. Which is smaller: q or s? q Let j be (-313)/(-15) + 2/15. Let l = 21 - j. Suppose 3*y + 5*r = 27, 5*y - 45 = 3*r - l*r. Is 9 smal...
{ "pile_set_name": "DM Mathematics" }
ence qi when two letters picked without replacement from {d: 1, q: 1, i: 2, m: 2}? 1/15 Four letters picked without replacement from gctlyya. Give prob of sequence gtly. 1/420 What is prob of sequence tn when two letters picked without replacement from stsnnnsssxtsssss? 1/40 What is prob of sequence zz when two letters...
{ "pile_set_name": "DM Mathematics" }
fffaff? 13/306 Calculate prob of sequence orrr when four letters picked without replacement from {c: 1, o: 12, r: 3}. 3/1820 Three letters picked without replacement from {d: 3, h: 2, q: 8, x: 3}. Give prob of sequence hqd. 1/70 Three letters picked without replacement from pypppppyppyppypypp. What is prob of sequence ...
{ "pile_set_name": "DM Mathematics" }
to 3 dps. 0.019 Round 20.8863 to 0 dps. 21 Round 8823 to the nearest one hundred. 8800 Round 1.1279 to one decimal place. 1.1 What is -0.017042 rounded to 4 dps? -0.017 What is 9405 rounded to the nearest ten thousand? 10000 Round -0.28217 to 3 dps. -0.282 Round -0.00000106 to 7 decimal places. -0.0000011 What is -0.0...
{ "pile_set_name": "DM Mathematics" }
t is the smallest common multiple of 79272 and 44? 871992 Find the common denominator of 59/82616 and 43/7184. 165232 What is the lowest common multiple of 12 and 278858? 1673148 What is the common denominator of -53/351 and 79/2808? 2808 Calculate the common denominator of 22/5 and -75/1108. 5540 Calculate the common ...
{ "pile_set_name": "DM Mathematics" }
15. Solve 5*k + 4*r = -q, 3*k + a = -3*r - 17 for k. -4 Suppose 17*k - 16*k = 0. Solve 0 = s + 2*q + 3, 0 = -q - k*q + 1 for s. -5 Suppose -5*o - z + 6*z + 30 = 0, -2*o = z. Solve -q = o*q - 2*r - 8, -5*r = 4*q - 3 for q. 2 Suppose 3*x - 5 - 10 = 0. Let b = -16 - -11. Let k be (4/b)/(8/(-220)). Solve 0 = 2*j + 5*d + 2...
{ "pile_set_name": "DM Mathematics" }
= 8*v + 105 - 133 + 180 for v. -19 Solve -193*z = 293 + 1849 + 1718 for z. -20 Solve 1573*w - 558 = 1591*w for w. -31 Solve 16*f + 2160 = -128*f for f. -15 Solve 13*a - 11*a - 29 = 31*a for a. -1 Solve -911*t - 219 = -961*t - 1919 for t. -34 Solve 2583 = 559*i + 11527 for i. -16 Solve -1447*g + 54 = -1429*g for g. 3 S...
{ "pile_set_name": "DM Mathematics" }
5 + 116150? 145415 In base 8, what is 31075 + 376? 31473 In base 10, what is 0 - -250944? 250944 In base 10, what is -32 + -3248861? -3248893 In base 3, what is -12212101020 + -1110? -12212102200 In base 14, what is 18 + 4024b? 40265 In base 10, what is 3060869 + 28? 3060897 In base 4, what is 13133102 - 1300130? 11232...
{ "pile_set_name": "DM Mathematics" }
114 + -362. Let o = -411 - j. Which is greater: o or -0.1? -0.1 Let t(b) = -b**3 + 28*b**2 + b - 4. Let r be t(28). Let f be (-60)/r - (-10)/4. Which is smaller: 55 or f? f Let o be 8 + ((-380)/(-50))/(10/25). Is 74 smaller than o? False Let b be 3/((-9)/(-80)) + 2. Suppose 64*j + 12*j + 15*j = 2639. Which is bigger: ...
{ "pile_set_name": "DM Mathematics" }
t) = -14*t + 2. Let w(f) be the second derivative of 7/6*f**3 - 11*f + 0 - 1/2*f**2. Give -2*d(u) - 5*w(u). -7*u + 1 Let l(s) = 50*s + 23. Let v(b) = 96*b + 44. Give 11*l(q) - 6*v(q). -26*q - 11 Let c(w) = -w. Let i(s) = -7*s - 3. Let z(v) = 3*c(v) - i(v). Let t be ((-25416)/(-33888))/(0 - 1/(-4)). Let l(f) = 8*f + 7. ...
{ "pile_set_name": "DM Mathematics" }