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ate -0.3 - -0.172007. -0.127993 Subtract 5 from -604297. -604302 What is 2 minus -13.604? 15.604 What is the distance between 4.07 and -4? 8.07 What is 21.3 less than 0.34? -20.96 6107 + -3 6104 What is -4 + 536296? 536292 14001.8 + -5 13996.8 Work out -3194.42 + -0.04. -3194.46 What is 3244 take away -0.1? 3244.1 Tota...
{ "pile_set_name": "DM Mathematics" }
. Let g be u(5). Let v be (-4)/g + (-7602)/(-63). Suppose -25*i - v = -30*i. What is the units digit of i? 4 Let s(z) = 108*z + 72. What is the tens digit of s(5)? 1 Suppose -3*p + 2*p = -2*h - 2, 3*h - 3*p = 0. What is the units digit of (14/35)/(h/(-180))? 6 Suppose -2*l + 4 = 4*r - 4, -4*l = r - 16. Suppose r = -3*p...
{ "pile_set_name": "DM Mathematics" }
is divided by r? 4 Let s(y) = -8*y**3 - 5*y**2 - 2*y + 4. Let f(g) = -71*g + 369. Calculate the remainder when s(-3) is divided by f(5). 13 Suppose 0 = -z - 0*z - z. Suppose -l + 28 + 2 = z. Calculate the remainder when l is divided by 11. 8 Let t = 6 - -9. Suppose -2*v = -t - 77. Calculate the remainder when 181 is d...
{ "pile_set_name": "DM Mathematics" }
ative of -4*g**5 - 745*g**4/4 + 20*g**3/3 + 745*g**2/2 + 12892. Suppose p(j) = 0. What is j? -149/4, -1, 0, 1 Let -2/9*n**5 + 24 + 208/9*n + 58/9*n**4 - 34/3*n**3 - 170/9*n**2 = 0. What is n? -1, 2, 27 Suppose k - 4*r + 8 = -0*r, 4*r + 8 = 5*k. Suppose -k*f + 38 = 30. Let f*d**2 + 6*d + 3*d**3 - 14*d - d**4 + 2*d**2 - ...
{ "pile_set_name": "DM Mathematics" }
9232403 prime? False Is 2351878 prime? False Is 385860311 a composite number? True Is 3699583 prime? True Is 473726017 prime? False Is 829769 prime? False Is 4961780815 prime? False Is 314941 a composite number? True Is 5205637 a prime number? False Is 18122977 a composite number? True Is 4182857 composite? True Is 223...
{ "pile_set_name": "DM Mathematics" }
= 2*y - 5*b, 15 = y - 3*b. List the prime factors of 1*(-2 - y) - -30. 2, 7 Suppose 5*x - 238 = 3*b + 239, 4 = 4*b. Suppose x = n + 2*n. Let i = n - 18. What are the prime factors of i? 2, 7 Let c be (1/3)/(1/12). Let g be 2/c*10*8. Suppose 4*o - g = -0*o. What are the prime factors of o? 2, 5 Let f = -64 - -81. What ...
{ "pile_set_name": "DM Mathematics" }
vide 10255 by -3. -10255/3 What is -12985 divided by 371? -35 Calculate -1 divided by 358457. -1/358457 What is -610776 divided by -2? 305388 Calculate 2609482 divided by -2. -1304741 Divide 3100 by -10. -310 5 divided by 9117 5/9117 Divide 2 by -129644. -1/64822 What is -106 divided by -9045? 106/9045 What is 608036 d...
{ "pile_set_name": "DM Mathematics" }
digit of m? 2 Let j(g) = g + 1. Let x be j(-7). Let a = -3 - x. What is the units digit of a? 3 What is the units digit of (24/9 + -3)*-45? 5 Let b(l) = 13*l - 10. What is the tens digit of b(3)? 2 Let h be -9 + (-1 - 0) + 3. Let p(l) = l + 9. What is the units digit of p(h)? 2 What is the tens digit of (1 + -4)/((-30...
{ "pile_set_name": "DM Mathematics" }
*4 Let k(m) = -4*m. Let z(d) = -107*d + 24*d + 326*d. Determine z(k(s)). -972*s Let n(y) = -39959*y**2. Let q(b) = -b**2. Give q(n(m)). -1596721681*m**4 Let j(n) = -n**2 - n + 12. Let w be j(3). Let i(v) be the third derivative of w + 0*v - 1/30*v**5 - v**2 + 0*v**3 + 0*v**4. Let q(d) = -2*d. What is i(q(b))? -8*b**2 L...
{ "pile_set_name": "DM Mathematics" }
= 4*g - 35200, 21*g + 5*n + 8800 = 22*g. Is g a multiple of 100? True Let s = -78 + 122. Suppose 0 = -a - 3*r + 4, 3*a = a + 3*r + s. Is a a multiple of 3? False Let s be -50*(168/30 - 5). Let z be 114/4*(-4)/3. Let n = s - z. Is 8 a factor of n? True Suppose 0 = 9*o - 13*o + 60. Let h be 4*(o/2 + 3). Suppose 3*m - h =...
{ "pile_set_name": "DM Mathematics" }
equal to -9? True Are 2 and 2/1023 non-equal? True Which is smaller: 670 or 672? 670 Which is greater: -315 or 0? 0 Which is greater: 9/40 or 0? 9/40 Which is smaller: 23/14 or 2? 23/14 Which is greater: -786 or 3? 3 Which is greater: -2/5327 or -1? -2/5327 Is 257 at most as big as 253? False Which is smaller: 14 or 12...
{ "pile_set_name": "DM Mathematics" }
(623 + -664). 50 What is 531 + -522 + (11 - 1) - 88? -69 What is the value of -13 + (3 - 6) - (110 + -88)? -38 Evaluate 10 + (-82 - -36) - -7 - -33. 4 What is the value of -17 + 93 + (2 - -1) + -2 + 81 + -75? 83 What is 16 - 4 - (-864 + 863)? 13 Calculate (-1 + -1 - (-641 + 615)) + -21. 3 Calculate -1 - 1 - 8 - ((-5 - ...
{ "pile_set_name": "DM Mathematics" }
59/(-58795)? 50 ((-62)/(-5859)*-21)/(-4*(-4)/(-32)) 4/9 Evaluate (54/(-4068))/(189/(-42))*-1*2. -2/339 Calculate ((33/77)/(115/18515))/3. 23 ((-375)/(-350))/(-6*(-3)/252) 15 What is -4*(4*(-10)/((-240)/(-261)))/(-6)? -29 Evaluate (1/637*14)/((2/210)/((-121)/(-363))). 10/13 Evaluate (-110)/60*50/(-275)*(-10)/1. -10/3 Wh...
{ "pile_set_name": "DM Mathematics" }
968567.30438. Let u = d + -6521402751. Let x = 29 + u. Round x to seven dps. -0.0000004 Let z = 34 - 31. Suppose 0*q - 321000 = z*q. Round q to the nearest ten thousand. -110000 Let a = 646 + -643.824. Round a to one dp. 2.2 Let j = 3364 - 3363.999997669. Round j to seven dps. 0.0000023 Let o be (-5)/(-4)*12/3. Suppose...
{ "pile_set_name": "DM Mathematics" }
-3*q + 2*q + o = -5*l. List the prime factors of q. 2, 3, 31 Suppose v + 3*z = 62, -v + z + 50 = -0*v. Suppose 534 = 2*a - 2*m, -4*m - v = -a + 199. Let f = a + -158. List the prime factors of f. 2, 3, 19 Let t be (-89)/(-1*(-1)/(-2)). Let m(q) = 34*q + 1051. Let w be m(-34). Let j = t + w. What are the prime factors o...
{ "pile_set_name": "DM Mathematics" }
rue Does 46 divide 7314? True Is 9 a factor of 123? False Does 41 divide 10906? True Is 49 a factor of 2793? True Is 86 a factor of 30788? True Does 33 divide 329? False Is 14 a factor of 836? False Is 52 a factor of 832? True Is 15 a factor of 4286? False Is 258 a multiple of 13? False Is 544 a multiple of 103? False ...
{ "pile_set_name": "DM Mathematics" }
0 11 -4 (base 10) to base 7 -4 -30 (base 5) to base 9 -16 What is 1022 (base 3) in base 9? 38 -5 (base 13) to base 12 -5 What is 108 (base 11) in base 4? 2001 465 (base 8) to base 11 261 -1101 (base 2) to base 10 -13 Convert -1 (base 6) to base 7. -1 What is -3a (base 12) in base 4? -232 Convert 5 (base 6) to base 14. ...
{ "pile_set_name": "DM Mathematics" }
icked without replacement from yyyyvvyyy. 1/6 Three letters picked without replacement from {k: 2, q: 1, b: 7, e: 5, c: 3}. What is prob of picking 1 b and 2 c? 7/272 What is prob of picking 1 x and 1 p when two letters picked without replacement from aammpmppxl? 1/15 Calculate prob of picking 2 l when two letters pick...
{ "pile_set_name": "DM Mathematics" }
-1? -1 Which is smaller: 978 or 1953/2? 1953/2 Does -879 = -878? False Are 1557 and 1562 nonequal? True Is -21 equal to -18? False Is 18994 greater than 18992? True Is -1 not equal to -8/663? True Which is smaller: 14 or 196/13? 14 Is 197 >= 198? False Is -0.2 at least as big as -0.1176? False Is -0.1 less than 0.0391...
{ "pile_set_name": "DM Mathematics" }
+ 867*s - 1170 = 0 for s. -39, -3, 1, 10 Suppose y**3/3 + 250076*y**2/3 + 250075*y/3 = 0. What is y? -250075, -1, 0 Factor 2*s**2 + 4802*s + 156288. 2*(s + 33)*(s + 2368) Factor -2*o**3/9 - 2282*o**2/9 - 654350*o/9 - 647522/3. -2*(o + 3)*(o + 569)**2/9 Suppose -4*i**4 + 2468*i**3 + 4984*i**2 - 19808*i = 0. What is i? ...
{ "pile_set_name": "DM Mathematics" }
cking 1 a and 2 d? 0 Four letters picked without replacement from {j: 6, a: 2}. Give prob of picking 4 j. 3/14 Calculate prob of picking 1 f and 1 b when two letters picked without replacement from {j: 4, l: 2, b: 3, p: 2, f: 1}. 1/22 Calculate prob of picking 2 z and 1 l when three letters picked without replacement f...
{ "pile_set_name": "DM Mathematics" }
0003 Suppose 0 = -5*r - d + 8, -3*r + 5*d = 2*r - 20. Let j = -8 + 8. Suppose j*f = -r*f + 1200000. What is f rounded to the nearest 100000? 600000 Let o(y) = -5*y - 27. Let w be o(-6). Let l be ((-25994)/2 - w)*(-1 - 0). Round l to the nearest one thousand. 13000 Let m = -0.05500033 + 0.055. What is m rounded to seven...
{ "pile_set_name": "DM Mathematics" }
(-14)) and g. 180 Let t be ((-4)/(-2))/(-8) - 1431/(-108). Let m = 29 - t. Calculate the lowest common multiple of (-2)/(-1*2/22) and m. 176 Let m(x) = 2*x + 36. Let z be m(-26). What is the lowest common multiple of 9 and 0*(-4)/z + 4? 36 Calculate the least common multiple of 10554 and 2*2/38 - 8*(-151)/76. 84432 Let...
{ "pile_set_name": "DM Mathematics" }
e smallest value in w, -0.2, u, 0.07? u Let b = 7.455 - 3.455. What is the second biggest value in b, 4/1231, -5? 4/1231 Let f = 398483 + -398485. Let y = 4 + -3.85. Which is the second smallest value? (a) 2 (b) f (c) y c Let y = -8 - -5. Let g = 7966 + -7960. Which is the biggest value? (a) g (b) y (c) -4 a Let ...
{ "pile_set_name": "DM Mathematics" }
third smallest value in f, i, g? f Let u = 6 + -5. Let i be (4 + -3)*u/(-2). Let h = -221/14 + 31/2. Which is the smallest value? (a) i (b) -3/5 (c) h b Let c be 236/(-4)*(-1)/(-280). Let p = c - 3/40. Let f = -0.6 - -0.3. What is the second smallest value in f, p, -0.2? p Let v = 14 + -10. Which is the smallest val...
{ "pile_set_name": "DM Mathematics" }
*a(r) + 16*w(r). Determine f(o(j)). 24*j**2 - 1 Suppose -5*u + 3*r = -82, r = -3*u + 5*r + 58. Let p(d) = 4*d + 14 - u. Let k(s) be the second derivative of s**3/2 - 7*s. Calculate k(p(c)). 12*c Let k(h) = 43 - 89 - 8*h**2 + 46. Let y(q) be the third derivative of -q**7/1260 + q**4/24 - q**2. Let p(u) be the second der...
{ "pile_set_name": "DM Mathematics" }
600541 a prime number? False Is 65209121 composite? True Is 3638141 prime? False Is 4724831 a prime number? True Is 432888859 prime? False Is 794669 a composite number? False Is 19960739 a composite number? False Is 6352343 a composite number? False Is 39852733 a composite number? True Is 5663689 composite? False Is 81...
{ "pile_set_name": "DM Mathematics" }
the power of 1/5, to the nearest integer? 12 What is 9817112 to the power of 1/2, to the nearest integer? 3133 What is 1155727 to the power of 1/2, to the nearest integer? 1075 What is the square root of 2336248 to the nearest integer? 1528 What is the seventh root of 41124164 to the nearest integer? 12 What is the te...
{ "pile_set_name": "DM Mathematics" }
) = d - 4. Let n be v(4). Which is greater: n or t? t Let v = 104 + -201. Which is smaller: v or -487/5? -487/5 Suppose 0 = 34*d - 17*d - 204. Is d less than 58/5? False Let v(z) = -z**2 - 18*z + 145. Let u be v(6). Is u bigger than -3/250? True Let x = 4.7 - -2.9. Let b = x + 27.4. Let c = -34 + b. Which is bigger: c ...
{ "pile_set_name": "DM Mathematics" }
251 a composite number? True Is 1768517627 composite? False Is 395086859 composite? False Is 382566967 prime? True Is 52118262767 prime? True Is 422735641 prime? True Is 3794508139 a prime number? False Is 17184913399 prime? True Is 9848752937 a prime number? False Is 493534429 a composite number? True Is 1533009581 co...
{ "pile_set_name": "DM Mathematics" }
45*a**2*l - a**2*q - q wrt a? -24*a*l*q - 1080*a*l - 12*l*q Differentiate -114*o*s**2*z + 5*o*s*z**2 - 235*s**2*z**2 + 2*s**2 + 2*s*z**2 with respect to o. -114*s**2*z + 5*s*z**2 What is the third derivative of 7806*f**5 + 155*f**2 - 8 wrt f? 468360*f**2 Find the third derivative of 8*a**2*d*w**3 - a**2*w**2 + 23*a**2*...
{ "pile_set_name": "DM Mathematics" }
(b) -0.212 (c) 0.5 (d) 4 (e) -0.5 (f) -3/356 d Which is the second biggest value? (a) -24 (b) -0.005538 (c) 0.032 b Which is the fourth biggest value? (a) 0 (b) 5 (c) 54/35 (d) -4 (e) 3 (f) -0.569 a What is the sixth biggest value in -5, -1658, -2/11, 5, -0.3, -3, 0.1? -5 What is the biggest value in 22, -...
{ "pile_set_name": "DM Mathematics" }
nearest to d? (a) -4/3 (b) h (c) -0.4 c Let o be (3 - 1)/(4 + -2). Let z(u) = u**3 - 2*u**2 - u - 2. Let k be z(3). Let n be 4/(-190)*(-9 + k). Which is the nearest to 0.1? (a) o (b) -3 (c) n c Let q be ((-1)/(-2))/(6/(-12)). Let k = 159/52 - 30/13. What is the nearest to q in k, -2/23, 3? -2/23 Let o(t) = t**3 +...
{ "pile_set_name": "DM Mathematics" }
-99 and -1.01. 99.99 Calculate -1*0.068. -0.068 What is -0.1 times 0.13? -0.013 Multiply 2 and -4.9. -9.8 Calculate -1290*-0.2. 258 14 * -11 -154 Work out 0.08 * 15. 1.2 -0.07 times 2.139 -0.14973 Calculate 391*-0.05. -19.55 0.3*2843 852.9 Calculate 0.06*28. 1.68 Product of 5 and -69. -345 Product of -0.38 and 3. -1.1...
{ "pile_set_name": "DM Mathematics" }
s digit of 90105952? 9 What is the tens digit of 140995820? 2 What is the hundred millions digit of 1635670619? 6 What is the units digit of 44483125? 5 What is the ten thousands digit of 869804498? 0 What is the ten thousands digit of 165901288? 0 What is the hundred millions digit of 157947473? 1 What is the ten thou...
{ "pile_set_name": "DM Mathematics" }
hat is -2.1 + 93428? 93425.9 What is 134 less than 5.5? -128.5 Add together -8238 and 2. -8236 Add together -433 and 0.094. -432.906 Add together -11 and -0.05319. -11.05319 Calculate 1241.13 - -3. 1244.13 Calculate 7 - 167199. -167192 Subtract 0.19786 from 0.06. -0.13786 Work out -5 - 72120. -72125 What is the differe...
{ "pile_set_name": "DM Mathematics" }
+ (-6)/21. 5/6 What is 6/28*(69/(-90) + (-48)/(-480))? -1/7 What is (-6)/(-4) + ((-129)/24)/((-1)/4)? 23 What is ((-2000)/4500)/(2/(-45))? 10 What is 6912/9216*(-208)/6? -26 (99/44*50 + -11)/((-56)/(-16)) 29 Calculate 1*(-170)/45 + 4 - 780/108. -7 Evaluate (10 - (-2 - -3))*(11 + -38 + 26). -9 What is the value of 700/...
{ "pile_set_name": "DM Mathematics" }
-2201100221 In base 13, what is 5 - 202294bc? -202294b7 In base 7, what is -4 - -1005631423? 1005631416 In base 10, what is -78 + 746330? 746252 In base 16, what is 21187 - 9a2? 207e5 In base 2, what is -1101 + 11111110010010110001110? 11111110010010110000001 In base 9, what is 2344316 + -175? 2344131 In base 3, what i...
{ "pile_set_name": "DM Mathematics" }
0, -77800, -77812, -77826? -n**2 - n - 77770 What is the w'th term of -111, -49, 17, 87, 161? 2*w**2 + 56*w - 169 What is the p'th term of -14, -95, -190, -305, -446? -p**3 - p**2 - 71*p + 59 What is the t'th term of -481, -263, 95, 593, 1231, 2009? 70*t**2 + 8*t - 559 What is the m'th term of -2999, -3106, -3213? -107...
{ "pile_set_name": "DM Mathematics" }
e in fourty-three quarters of a micrometer? 10750 How many kilograms are there in nineteen quarters of a tonne? 4750 How many nanometers are there in thirteen quarters of a micrometer? 3250 What is 7/2 of a tonne in kilograms? 3500 How many micrograms are there in 7.659201g? 7659201 How many meters are there in 1/4 of ...
{ "pile_set_name": "DM Mathematics" }
+ 2 - (-115 + 122) -10 What is -4 - 16 - (-556 + 547)? -11 What is -18 + 5 - (42 + -68)? 13 Evaluate 8 - ((4 - 7 - 1) + -3 + 3). 12 Evaluate (-17 - 43) + (22 - -8). -30 What is 5 - (-20 + 6 + -4)? 23 -4 - (5 + -6) - (6 - 6 - -4) -7 4 + 2 - (45 - 49) 10 Evaluate (42 - 19) + 2 + -12. 13 What is the value of (12 - 21 - -...
{ "pile_set_name": "DM Mathematics" }
53, 118993? -w**3 + 3312*w**2 - w - 17 What is the u'th term of -5673, -5653, -5633, -5613? 20*u - 5693 What is the l'th term of -877, -3537, -7985, -14227, -22269? -l**3 - 888*l**2 + 11*l + 1 What is the r'th term of -1372, -1056, -740, -424, -108? 316*r - 1688 What is the o'th term of -20, 16, 158, 460, 976, 1760, 28...
{ "pile_set_name": "DM Mathematics" }
2*k**2 - 1 wrt r? -8778*d*k**2 - 12*d*r - 594*d Find the second derivative of -3*m**4 - 15338*m**3 - 4*m**2 + 51547757*m wrt m. -36*m**2 - 92028*m - 8 Find the second derivative of -a**4 - 44447*a**3 + 339*a**2 - 136534852*a wrt a. -12*a**2 - 266682*a + 678 What is the third derivative of -382258543*g**5 + g**2 - 1035...
{ "pile_set_name": "DM Mathematics" }
s -12*c(h) + w(h)? -2*h**2 + 4*h - 2 Let o(l) = l**3 + l**2 - 1. Let c(j) = 3*j**3 + 16*j**2 - 3*j - 1. Let g(x) = -4*x**3 - 36*x**2 + 7*x + 1. Let b(y) = 14*c(y) + 6*g(y). Give 3*b(k) - 24*o(k). 30*k**3 Let l(o) = 4*o + 2. Let t(k) = 28*k + 28. What is 4*l(x) - t(x)? -12*x - 20 Let u be (-12)/(-30)*(5 - 8 - 2). Let l(...
{ "pile_set_name": "DM Mathematics" }
*o**2 - 28 - 4*o**3 - 2*o = 0. What is o? -14, -1, 1 Suppose 11/2*u**2 + 26 - 125/4*u - 1/4*u**3 = 0. What is u? 1, 8, 13 Let f(r) be the first derivative of r**6/5 - 13*r**5/20 + r**4/4 + 3*r**3/2 - 54*r**2 - 22. Let m(y) be the second derivative of f(y). Factor m(s). 3*(s - 1)**2*(8*s + 3) Let n be (-4 - 2) + 1 - -27...
{ "pile_set_name": "DM Mathematics" }
there in 67/5 of a millennium? 1340 How many millilitres are there in fourty-five eighths of a litre? 5625 What is fifty-one fifths of a litre in millilitres? 10200 What is 3/32 of a millennium in months? 1125 How many nanograms are there in 7/8 of a microgram? 875 What is 4/15 of a minute in seconds? 16 Convert 3445....
{ "pile_set_name": "DM Mathematics" }
, 1 s, and 1 m when three letters picked without replacement from {i: 3, s: 1, m: 4}. 3/14 Calculate prob of picking 2 r when two letters picked without replacement from {r: 16, x: 1, m: 3}. 12/19 Three letters picked without replacement from glglgallga. What is prob of picking 1 l, 1 g, and 1 a? 4/15 Two letters picke...
{ "pile_set_name": "DM Mathematics" }
2, 161, 140, 83? -c**3 - 3*c**2 + 67*c + 5 What is the t'th term of -45, -100, -165, -246, -349? -t**3 + t**2 - 51*t + 6 What is the s'th term of 963, 1927, 2891? 964*s - 1 What is the h'th term of 24, 114, 264, 474, 744, 1074? 30*h**2 - 6 What is the y'th term of -60, -31, 24, 111, 236, 405, 624? y**3 + 7*y**2 + y - 6...
{ "pile_set_name": "DM Mathematics" }
v(f) wrt f. -27*f**2 Let k(n) = -2*n**4 - 3*n**2 - n. Let l(b) = 5*b**4 + 7*b**2 + 2*b. Let r = -11 - -4. Let t(f) = r*k(f) - 3*l(f). What is the second derivative of t(i) wrt i? -12*i**2 Let g(n) = n**3 + n**2 - n - 1. Let a(x) = -20*x**3 - 4*x**2 + 2*x - 9. Let m(t) = a(t) + 2*g(t). Differentiate m(p) wrt p. -54*p**...
{ "pile_set_name": "DM Mathematics" }
without replacement from {z: 9}. Give prob of picking 3 z. 1 Three letters picked without replacement from {c: 3, f: 1, a: 2, h: 1}. Give prob of picking 1 c, 1 f, and 1 h. 3/35 What is prob of picking 3 i when three letters picked without replacement from xxxiixxiixx? 4/165 Two letters picked without replacement from ...
{ "pile_set_name": "DM Mathematics" }
m {c: 1, o: 2, d: 4, p: 4, i: 3}. What is prob of sequence opc? 1/273 Calculate prob of sequence nn when two letters picked without replacement from {i: 4, y: 5, n: 6}. 1/7 Three letters picked without replacement from vyybvvvbdyvdyyvyvy. What is prob of sequence vdb? 7/1224 What is prob of sequence aqb when three lett...
{ "pile_set_name": "DM Mathematics" }
minutes in milliseconds? 18047178 What is 0.1412361 nanometers in kilometers? 0.0000000000001412361 What is 5/4 of a tonne in kilograms? 1250 How many micrometers are there in eleven tenths of a centimeter? 11000 What is 74.48826ms in nanoseconds? 74488260 What is thirteen quarters of a century in months? 3900 How man...
{ "pile_set_name": "DM Mathematics" }
65 = 33. Suppose -296 = -g*q + 5*v, -v = 2*q + 11 - 283. Does 69 divide q? True Let l be 20/3 + 4*4/(-24). Suppose 0 = u + l*u. Suppose u = -2*i + n + 39, 0*n - 39 = -3*i - 5*n. Is i a multiple of 6? True Let m = -5 - -8. Suppose 107*n - 114*n = -21. Suppose 0 = -n*d - 12, -m*y + 2*d = -d - 84. Is 22 a factor of y? Fal...
{ "pile_set_name": "DM Mathematics" }
5*o + 128 What is the k'th term of -662, -1318, -1974, -2630? -656*k - 6 What is the c'th term of -5426, -5425, -5424? c - 5427 What is the n'th term of 391, 781, 1157, 1513, 1843, 2141, 2401, 2617? -n**3 - n**2 + 400*n - 7 What is the v'th term of -123, -490, -1105, -1968, -3079, -4438? -124*v**2 + 5*v - 4 What is the...
{ "pile_set_name": "DM Mathematics" }
3)/u + (-12)/6. What is the biggest value in n, m, 2/5? n Let q = 0.01 + 1.99. Let u(h) = h**3 + 6*h**2 + 5*h - 1. Let w be u(-5). Let l = -15.6 - -16. Which is the second smallest value? (a) q (b) w (c) l c Let h = -304 - -904/3. What is the third smallest value in h, 1, 0.4? 1 Let a = -0.29 + 5.29. What is the thi...
{ "pile_set_name": "DM Mathematics" }
s*j(c) - 7*p(c)? -c**2 + 2 Let x(y) = -y - 3. Let q(n) = -18. Calculate -3*q(j) + 18*x(j). -18*j Suppose 2*h - 2*g + 7*g - 3 = 0, 2*h + 5 = 3*g. Let d(o) = -o**3 + o**2. Let v(w) = 4*w**3 - 2*w**2 - 4*w. What is h*v(k) - 2*d(k)? -2*k**3 + 4*k Let n(u) = -u**2 - u. Let x(v) = 8*v**2 - 5*v. Let i(k) = -n(k) + x(k). Let l...
{ "pile_set_name": "DM Mathematics" }
11. Let r = 32 + x. Let a be 2 - (144/(-15))/(-4). What is the nearest to 1/3 in r, a, 2/19? 2/19 Let n = -4/57 + 199/399. Let m = 4/21 - 2/35. Which is the closest to 0? (a) -1/3 (b) m (c) n b Let f be (-2)/((-8)/18) - (0 - -4). Let n be 2*4/((-128)/(-6)). Let d = -77 + 691/9. Which is the nearest to f? (a) d (b...
{ "pile_set_name": "DM Mathematics" }
nd the second derivative of -2*s**5 + 697*s**4*y + 2*s*y + 5*y + 43 wrt s. -40*s**3 + 8364*s**2*y What is the derivative of 58*p**3 + 124? 174*p**2 Find the second derivative of 192*o**4*w**2 + 3*o**3*w**2 - 13*o*w**2 + 3*o + w**2 wrt o. 2304*o**2*w**2 + 18*o*w**2 Differentiate s**2 - 30*s + 28. 2*s - 30 What is the se...
{ "pile_set_name": "DM Mathematics" }
e q'th term of -16, -9, -2, 5? 7*q - 23 What is the y'th term of -63, -199, -427, -747, -1159? -46*y**2 + 2*y - 19 What is the j'th term of -22, -23, -24? -j - 21 What is the f'th term of 728, 740, 766, 812, 884, 988, 1130? f**3 + f**2 + 2*f + 724 What is the v'th term of 53, 117, 183, 251, 321, 393, 467? v**2 + 61*v -...
{ "pile_set_name": "DM Mathematics" }
et u = -47.00000119 + 47. Round u to 7 dps. -0.0000012 Suppose -5*g + 37 = 4*p, -g + 4*p = 3*g - 8. Suppose -2*s + g*s = k + 67499996, 0 = -5*k + 20. Round s to the nearest one million. 23000000 Let d be ((3 - 3) + 5)*-15. What is d rounded to the nearest 10? -80 Let l(u) = -1486*u**3 + 2*u**2 + 5*u - 1. Suppose 5*w + ...
{ "pile_set_name": "DM Mathematics" }
2 + -5. Let m(x) = -1890 + 1890 - 2*x. What is the units digit of m(h)? 4 Suppose -3*t - 12 + 3 = 3*u, 4*u + 2*t + 8 = 0. Let j = 1 - u. Suppose -d = j*d - 27. What is the units digit of d? 9 Suppose 0 = -n - 1 + 15. What is the units digit of n? 4 Suppose 4*v - 2*v + 4 = 0. What is the units digit of (0/(-3))/v + 3? 3...
{ "pile_set_name": "DM Mathematics" }
**4/2 - 2752*s**3/3 - 11857*s. Find the second derivative of a(l) wrt l. -12*l**2 - 12*l + 756 Let b(i) be the second derivative of 2081*i**4/6 + 3113*i**3/2 - 11221*i. What is the second derivative of b(v) wrt v? 8324 Let w(q) = q**3 - 2*q**2. Let x(d) = 236*d**4 - 3*d**3 + 6*d**2 + d + 1201. Let b(m) = 3*w(m) + x(m)....
{ "pile_set_name": "DM Mathematics" }
a = 28 + -25. Suppose -d + 3*d + 4*f - 84 = 0, a*f + 112 = 2*d. What is the tens digit of d? 5 Let s = 4 + 4. Suppose -2*n - 2*n + s = 0. Suppose -j = -n*k - 49, -3*j - 2*k + 179 = -0*j. What is the tens digit of j? 5 Let t = -984 + 984. Let z be (-192)/(-14) + (-4)/(-14). Suppose t = -18*j + z*j + 28. What is the uni...
{ "pile_set_name": "DM Mathematics" }
tiple of 3? False Let m(l) = -6 - 2 + 12*l**2 + 4 - 20*l - l**3 - 5. Is m(8) a multiple of 29? True Let s(k) = -3*k**3 + 2*k. Suppose -5*u - 14 = -4. Does 12 divide s(u)? False Let x(i) = 5*i**2. Suppose 0 = 3*j - 34 + 49. Is 5 a factor of x(j)? True Let z = -11 + 11. Suppose -4*p - p + 80 = z. Let g = p - -40. Is g a ...
{ "pile_set_name": "DM Mathematics" }
t to 0? (a) -0.002 (b) -3/7 (c) 0.2 a Which is the nearest to 0.4? (a) 1 (b) -2/11 (c) 3 b What is the closest to -0.1 in 0, -3, 3, -5? 0 Which is the nearest to 1? (a) 2/13 (b) 1 (c) 140 (d) -5 b Which is the closest to 0? (a) -40 (b) 2 (c) 5 (d) 10/3 b Which is the closest to 2/3? (a) 39 (b) 3 (c) -5...
{ "pile_set_name": "DM Mathematics" }
(a) 3 (b) -2/7 (c) -0.06 (d) -2013 c What is the closest to 1 in 3/2, -2/9, -4.6, 3/26630? 3/2 What is the nearest to 1/6 in -1/2, -9.2, -1534/21, 2/13, -1? 2/13 Which is the nearest to 0.11? (a) -2/213 (b) -14/67 (c) -0.3 (d) -5 a What is the closest to -1/4 in 2, -133, 2/71, -3, 0.01? 0.01 What is the closest...
{ "pile_set_name": "DM Mathematics" }
ose -14*p - 1555002 = -7924232. Is p a composite number? True Let m(k) be the third derivative of 3*k**6/20 - k**5/30 + 11*k**4/24 - 13*k**3/3 - 11*k**2. Let y(t) be the first derivative of m(t). Is y(-5) a prime number? True Let s(p) = -35*p + 83 + 61*p - 3*p**2 + p**3 - p**2 - 15*p**2. Is s(29) prime? False Suppose -...
{ "pile_set_name": "DM Mathematics" }
he closest to 1.54? (a) 4 (b) -5 (c) 0.2 (d) 5 (e) 1/6 c Which is the nearest to 2/5? (a) 0 (b) 7 (c) -2 (d) -0.4 (e) -3 a Which is the closest to -6845? (a) 0.2 (b) 5 (c) -3 c Which is the closest to 2/3? (a) 2/5 (b) 5 (c) -1/2 (d) -87/5 (e) 1 a Which is the closest to -2/7? (a) -1 (b) 2/15 (c) -4...
{ "pile_set_name": "DM Mathematics" }
= 3*l - 4*m - m, -3*m - 6 = 0. Suppose -2*s - 2*u - 292 = 2*u, 0 = 4*s + 2*u + 590. Let d be 103/s - (-27)/36. Is l smaller than d? False Let m(f) be the third derivative of -f**6/120 + 2*f**5/5 + 9*f**3 - 19*f**2. Let x be m(24). Which is smaller: 55 or x? x Let i be (-3*(-6)/(-18))/1*7. Let h = 25 + -17. Let k = 1 - ...
{ "pile_set_name": "DM Mathematics" }
41. Let a = t - 34. Suppose -j + 5 + a = 0. List the prime factors of j. 2, 5 Suppose -53 = -5*i + 3*h, -3*i = i + 4*h - 36. Suppose 0 = 2*o - 0*o + i, -190 = -5*f + 3*o. List the prime factors of f. 5, 7 Suppose -6*h - 293 = 43. Let b = -20 - h. Suppose 6*l + b = 8*l. List the prime factors of l. 2, 3 Suppose 0 = h - ...
{ "pile_set_name": "DM Mathematics" }
by 774? 13 What is the remainder when 1817 is divided by 157? 90 What is the remainder when 12929 is divided by 1606? 81 Calculate the remainder when 132706 is divided by 106. 100 Calculate the remainder when 44695 is divided by 44695. 0 What is the remainder when 2437 is divided by 2057? 380 What is the remainder whe...
{ "pile_set_name": "DM Mathematics" }
950, -40208? -2054*n**2 + 2228*n + 2 What is the k'th term of 83912, 169593, 255274, 340955, 426636? 85681*k - 1769 What is the b'th term of -95, 1257, 2609? 1352*b - 1447 What is the a'th term of -28249, -100603, -221183, -389983, -606997, -872219, -1185643, -1547263? a**3 - 24119*a**2 - 4*a - 4127 What is the v'th te...
{ "pile_set_name": "DM Mathematics" }
te prob of picking 1 k and 1 s when two letters picked without replacement from {s: 3, y: 2, m: 3, a: 2, k: 6}. 3/20 Two letters picked without replacement from {z: 9, c: 1, i: 1, t: 1}. What is prob of picking 1 c and 1 z? 3/22 Three letters picked without replacement from {c: 11, a: 4, g: 3}. Give prob of picking 3 c...
{ "pile_set_name": "DM Mathematics" }
when four letters picked without replacement from qqqjoooooqzoz. 3/715 What is prob of sequence wvvr when four letters picked without replacement from {p: 1, w: 2, s: 3, v: 3, r: 1}? 1/420 Four letters picked without replacement from {b: 4, c: 4, n: 8}. What is prob of sequence cccc? 1/1820 Three letters picked withou...
{ "pile_set_name": "DM Mathematics" }
+ 7) 12 What is the value of 33 - ((-20 - -9) + -1)? 45 Calculate 196 + -183 + 8 + -3. 18 What is the value of -480 - -399 - (0 - 170)? 89 What is (19 - 0 - 0) + -60 + -102 + 150? 7 22 + -22 + -62 + 35 -27 -76 - (-24 - (-22 + 0 - (2 + 8 + -20))) -64 Calculate 2 + (-9 - (-3 + -6) - -3) + -26 + -2. -23 -51 + -10 - ((0 -...
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from cbqccqccty. What is prob of sequence bt? 1/90 Calculate prob of sequence cg when two letters picked without replacement from cjfjgccjfcffjff. 2/105 Three letters picked without replacement from {q: 4, t: 2, u: 2, i: 2, m: 2, g: 2}. Give prob of sequence igt. 1/273 Calculate prob of se...
{ "pile_set_name": "DM Mathematics" }
vided by j. 32 Let m(w) = -8*w + 2. Let j(t) = -59*t - 4. Let h be j(-1). Calculate the remainder when m(-2) is divided by (42/4)/(-4 + h/10). 4 Let k(o) = o**2 - o - 17. Let v = -432 + 437. What is the remainder when 87 is divided by k(v)? 0 Suppose -1499 - 767 = -11*i. Let u = i - 199. What is the remainder when 77 i...
{ "pile_set_name": "DM Mathematics" }
6 Work out -0.5 * 570204. -285102 Product of 1 and 23483603. 23483603 Calculate 0.06*739403. 44364.18 Product of 1 and 142.84302. 142.84302 What is the product of 6 and 93.82885? 562.9731 1014516 times 0 0 Work out 13124 * -550.43. -7223843.32 Product of 0.57 and 11.09064. 6.3216648 0.08 * -0.1151584 -0.009212672 Calcu...
{ "pile_set_name": "DM Mathematics" }
2 + l. Let g(z) = 3*p(z) + u(z). Let r = -2559 + 2563. What is the units digit of g(r)? 3 Let m(k) = -1042*k - 1. Let b be m(-1). Suppose -1110 = -3*r + b. What is the tens digit of r? 1 Let s be (78/(-5))/(6/(-15)). Suppose 28675 = s*k - 2*k. What is the tens digit of k? 7 Let g(s) be the first derivative of -s**2/2 -...
{ "pile_set_name": "DM Mathematics" }
e c? True Let s(h) = -h**2 + 8*h - 1. Does 15 divide s(4)? True Let k = 9 - -47. Is k a multiple of 19? False Suppose o + 36 = 5*o. Let b = o - 4. Suppose b*h = 73 + 2. Is 15 a factor of h? True Let b be 1 + 3 - 2/1. Suppose b*h = 8 + 4. Does 6 divide 134/h - (-4)/6? False Let d = -9 - -34. Suppose d = 3*j - 41. Suppos...
{ "pile_set_name": "DM Mathematics" }
its digit of h(y)? 1 Let i = 637 + -422. What is the units digit of i? 5 Let i(n) = 12*n + 4. What is the tens digit of i(4)? 5 Suppose 76 = 9*o - 8*o. What is the units digit of o? 6 Let g(z) = -2*z - 4. Let d be 11/(-2) + 15/10. Let j be g(d). Suppose -7 = -3*b - j. What is the units digit of b? 1 Let m = 51 - 28. Wh...
{ "pile_set_name": "DM Mathematics" }
the next term in -2148, -4323, -6524, -8757, -11028, -13343? -15708 What comes next: 71107, 71104, 71099, 71092, 71083, 71072? 71059 What is the next term in -304, -267, -176, -7, 264, 661, 1208? 1929 What is next in -4, -55, -148, -295, -508, -799, -1180? -1663 What comes next: 33071, 66137, 99205, 132275, 165347, 198...
{ "pile_set_name": "DM Mathematics" }
et r be ((-82)/(-3))/(4/6). Does 56 divide 0 + 1002 - r/(205/(-30))? True Suppose 7*i = 52257 - 9123. Is i a multiple of 78? True Suppose 13*y + 95 = -6*y. Let l(c) = -200*c + 312. Is 11 a factor of l(y)? False Let y(q) = -q**3 + 4*q**2 - 2*q - 3. Let z be y(3). Suppose -4*j + m = 5*m - 196, z = 3*m - 9. Is j a multipl...
{ "pile_set_name": "DM Mathematics" }
4538 In base 15, what is c732 - 780? bea2 In base 16, what is 5ea21 + -4f? 5e9d2 In base 13, what is 13 + -2c26b7b? -2c26b68 In base 11, what is -1745 - 17a82a? -181474 In base 10, what is -991 - -345885? 344894 In base 8, what is -60246 - -6? -60240 In base 7, what is -346524 - 101301? -451125 In base 7, what is 0 + 4...
{ "pile_set_name": "DM Mathematics" }
d))? 246*d - 1107 Let h(a) be the third derivative of -11*a**4/24 - 14*a**2. Let n(s) = -s**2. Calculate n(h(d)). -121*d**2 Let g(x) = 2*x**2 - 13. Let i(n) = -n**2 + 6. Let c(z) = 6*g(z) + 13*i(z). Let j(a) = -4*a**2. Calculate j(c(k)). -4*k**4 Let b(m) = m**2. Let x = 25 + -19. Let o(j) be the third derivative of -j*...
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 178 What is 458004 to the power of 1/8, to the nearest integer? 5 What is the third root of 36464199 to the nearest integer? 332 What is the cube root of 792268 to the nearest integer? 93 What is 603125 to the power of 1/9, to the nearest integer? 4 What is 680914 to the power of 1/3, to the ne...
{ "pile_set_name": "DM Mathematics" }
out replacement from {j: 1, e: 1, t: 6, z: 3, y: 2}. What is prob of sequence ze? 1/52 Three letters picked without replacement from kgggggkgg. Give prob of sequence kkg. 1/36 Two letters picked without replacement from {i: 1, r: 3, x: 3}. Give prob of sequence rx. 3/14 Four letters picked without replacement from {p: ...
{ "pile_set_name": "DM Mathematics" }
Let o = 1279.4 + -1279. Suppose 0 = 3*z - 7*z - 32. What is the smallest value in 3, z, o, 4? z Let o = 80 + -48. Let m = 14 - o. Let s = m - -21. Which is the second biggest value? (a) -1/10 (b) -5 (c) s (d) -0.3 a Let o be 6 + -7 - 3/(-6). Let m = 11 - -36. Which is the second biggest value? (a) o (b) -0.2 (c...
{ "pile_set_name": "DM Mathematics" }
e second biggest value in 7, -0.1, -2/357707? -2/357707 Which is the second smallest value? (a) 8 (b) -4 (c) 30 (d) -0.5 d Which is the biggest value? (a) -1 (b) 0.7 (c) 2 (d) 2/21 c Which is the second smallest value? (a) 0 (b) 5 (c) 299/4 (d) -1/7 (e) -3/2 d Which is the fifth biggest value? (a) 0.1 (b...
{ "pile_set_name": "DM Mathematics" }
56880 -240794078 * 0.3 -72238223.4 -0.048 * 11994 -575.712 What is the product of 44 and 2499345? 109971180 6174 times 2266 13990284 289.1 * 67.7 19572.07 -5*1824988 -9124940 What is 58 times 13.55013? 785.90754 What is the product of 0.2 and 0.0149515? 0.0029903 74168850 times 0.3 22250655 What is the product of -0.05...
{ "pile_set_name": "DM Mathematics" }
+ v. Is p a prime number? True Is (-262108)/(-16) + 18/(-24)*1 a prime number? True Let p be (10/(-4) + 2)*(346 + -2). Let l = p - -299. Is l prime? True Let c = -278 - -523. Suppose 0*v - v = 0. Suppose 2*t = -7*g + 3*g + 944, g + 5*t - c = v. Is g prime? False Suppose -18*v + 68950 = -8*v. Suppose v = 11*g - 4*g. Is...
{ "pile_set_name": "DM Mathematics" }
(-2)/2) -3/7 Calculate 22/4 - (-42)/(-7). -1/2 (-46)/(-69) - (-5)/(-3) -1 What is (-25)/(-10)*36/(-30)? -3 Calculate 61 - 56 - (1 - -9). -5 Evaluate (-7)/((-14)/4)*(8 - 6). 4 Evaluate ((-4)/(-2) + 1)/(22 - 19). 1 Evaluate (-45)/(-55) - (-6)/33. 1 What is the value of (-513)/(-63) - 2/14? 8 Calculate -3 - (-15)/6*(-12)/...
{ "pile_set_name": "DM Mathematics" }
n(k) = -10*k - 14. Let h(f) = -14*f - 30. What is 2*h(l) - 5*n(l)? 22*l + 10 Let w(g) = -17*g**2 - 3*g + 755. Let t(h) = -4*h**2 - h. Calculate 4*t(x) - w(x). x**2 - x - 755 Let s(x) = 11*x**2 + 6*x + 3. Let z(n) = -n**2 + 2*n - 2. Calculate -s(t) - 4*z(t). -7*t**2 - 14*t + 5 Let u(y) = -85*y**2 - 25*y + 25. Let k = 8...
{ "pile_set_name": "DM Mathematics" }
1*c. Let a(x) = 29*x**3 - 9*x**2 - 23*x + 6. Let m(n) = -a(n) + 3*u(n). What is the second derivative of m(q) wrt q? -138*q + 12 What is the first derivative of -778*y - 1521 - 84187*y**2 + 84190*y**2 - 6947 - 4516 wrt y? 6*y - 778 Let f(d) be the first derivative of -5*d**5 - 21*d**4/4 - 3425*d**3/3 - 703. Find the th...
{ "pile_set_name": "DM Mathematics" }
80*q**2 wrt i. 629496*i*q + 2832*q**2 What is the third derivative of 7787442*h*s**3 - 955*h*s**2 + 122*h - s**3 wrt s? 46724652*h - 6 What is the second derivative of 2*d**2*y**2 + 9646*d**2*y + 61*d**2 - 13*d - 219818*y**2 wrt d? 4*y**2 + 19292*y + 122 Find the second derivative of -211346*i**3 + 4*i**2 - 1408*i - 70...
{ "pile_set_name": "DM Mathematics" }
0 Let s be -4*(-7)/(21/6064992). Suppose 5*t + 6259968 = 2*t. Let h = s + t. What is h rounded to the nearest 1000000? 6000000 Let v = -0.061 + -1.339. Let u = v + 1.40000005. Round u to 7 dps. 0.0000001 Let n = 47 - 97. Let u = -50.0014 - n. What is u rounded to 4 dps? -0.0014 Let h = 1379381986 + -1379382059.6999639....
{ "pile_set_name": "DM Mathematics" }
3 What is the third root of 1699731 to the nearest integer? 119 What is the third root of 1447514 to the nearest integer? 113 What is 299956 to the power of 1/7, to the nearest integer? 6 What is 162132 to the power of 1/7, to the nearest integer? 6 What is the fifth root of 705543 to the nearest integer? 15 What is 77...
{ "pile_set_name": "DM Mathematics" }
e 7 by -799. -7/799 0 divided by -734781 0 Calculate -38 divided by 2921. -38/2921 Calculate -28004 divided by 4. -7001 What is 107713 divided by 12? 107713/12 Calculate 20918 divided by 10459. 2 574 divided by -2 -287 Calculate 811482 divided by -405741. -2 What is -2 divided by 32838? -1/16419 -389 divided by 562 -38...
{ "pile_set_name": "DM Mathematics" }
10268? 17502 In base 2, what is 1001110101101011000100001 + 0? 1001110101101011000100001 In base 4, what is -20121122322331 - 11? -20121122323002 In base 9, what is 5026108 - 30? 5026068 In base 6, what is 45202210255 + -5? 45202210250 In base 10, what is -15211 + 11575? -3636 In base 10, what is -1 - 63449460? -63449...
{ "pile_set_name": "DM Mathematics" }
and 2 e? 9/455 What is prob of picking 2 p and 1 d when three letters picked without replacement from ecedhdpcpppdcc? 9/182 Four letters picked without replacement from jjjjjjjfjfj. Give prob of picking 3 f and 1 j. 0 Three letters picked without replacement from ssssss. What is prob of picking 3 s? 1 Calculate prob of...
{ "pile_set_name": "DM Mathematics" }