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f sequence ut when two letters picked without replacement from tusoqkq? 1/42 What is prob of sequence yvw when three letters picked without replacement from {v: 1, g: 1, y: 9, t: 2, q: 1, w: 1}? 3/910 Calculate prob of sequence ete when three letters picked without replacement from ttlteitihiihhe. 1/273 Four letters pi...
{ "pile_set_name": "DM Mathematics" }
*y - 4*y + y). y**2 - 2 Expand (-94 + 9 + 149)*(5 - 4 - 2)*(2 + w - 2) - 4 + 4 - w + (-2 + 2*w + 2)*(3 - 5 + 3) + 2*w + 1 - 1 + 2*w + w - w. -59*w Expand (-1 + 2 + 1)*(-v + 2 - 2) - 5*v + 0*v - 3*v - v + 6*v + 0*v + 2*v - 2*v - 2*v. -7*v Expand (-b - 4*b + 4*b)*(-2*b + 0*b + 4*b) + (-2 + 1 + 2)*(266 - 266 - 28*b**2). -...
{ "pile_set_name": "DM Mathematics" }
lse Is 239233015 a multiple of 3794? False Is 10 a factor of 41631463? False Is 205 a factor of 256307302? False Is 189175132 a multiple of 13? False Is 121174589 a multiple of 6? False Is 77 a factor of 235332867? True Is 48959 even? False Does 1392 divide 146410560? True Is 44 a factor of 35133692? True Is 38454320 a...
{ "pile_set_name": "DM Mathematics" }
et f(d) = -8*d + 12. Let u(z) = -z + 1. Let y = 89 + -90. What is y*f(l) + 10*u(l)? -2*l - 2 Let q(c) = 1. Let w be (-7)/(28/(-40))*12/(-10). Let h(v) = -v + 4. Calculate w*q(a) + 3*h(a). -3*a Let w(b) = 10*b - 5. Let t(z) = 11*z - 6. Give -2*t(s) + 3*w(s). 8*s - 3 Let s(o) = 1 + 9*o - 3*o - 7 + 8*o**3. Let w(d) = 15*d...
{ "pile_set_name": "DM Mathematics" }
se Is 2076464701 prime? False Is 7387703767 composite? False Is 23329488607 a prime number? True Is 2026953623 composite? True Is 3832142051 composite? True Is 950681573 prime? False Is 4833092279 a composite number? False Is 698197501 a composite number? True Is 4475416177 composite? False Is 37128577 a prime number? ...
{ "pile_set_name": "DM Mathematics" }
xpand (1 - 1 + 1)*(-1103 - 39*z + 1103 + (-z + 2 - 2)*(-1 + 2 + 1) + z - 1 + 1). -40*z Expand -1 + 1 - 6*k + (0 + 4 - 5)*(2 + k - 2) - 27 + 27 - 10*k. -17*k Expand (0*q + 5*q - 4*q)*(0 - 4 + 3) - 4*q + 4*q - 2*q + (2*q - q + 0*q)*(20 - 7 + 17). 27*q Expand (4*i**5 + i**4 + 2*i**4 - i**4)*(-5 + 3 + 0). -8*i**5 - 4*i**4 ...
{ "pile_set_name": "DM Mathematics" }
3}. 1/323 Three letters picked without replacement from {s: 12, g: 1}. Give prob of sequence sss. 10/13 Two letters picked without replacement from kkk. What is prob of sequence kk? 1 Two letters picked without replacement from {i: 1, g: 1, j: 3, v: 2, q: 4}. Give prob of sequence vv. 1/55 What is prob of sequence frpf...
{ "pile_set_name": "DM Mathematics" }
75. Let b = -27 - k. What is b rounded to 2 dps? -0.03 Let y = -0.0537 + 0.0536063. Round y to six decimal places. -0.000094 Let t = -179.44 - -0.44. Let r = t - -178.99999849. Round r to seven decimal places. -0.0000015 Let j(g) = 196*g**3 - g**2 + 5*g + 5. Let p be j(-2). Let s = p + 2661577. Round s to the nearest o...
{ "pile_set_name": "DM Mathematics" }
1 a What is the second biggest value in 0, 1.4805, -2? 0 Which is the third smallest value? (a) 34 (b) -28 (c) -2.8 a What is the third biggest value in 0.5, 2558/23, 2? 0.5 What is the second biggest value in -1/2, 0, -31, -5, 1? 0 Which is the fourth biggest value? (a) 0 (b) -1446 (c) -2 (d) -0.191 b Which is ...
{ "pile_set_name": "DM Mathematics" }
f g. 3, 7 Suppose 3*g - 24 = 30. Suppose g = x + 11. What are the prime factors of x? 7 Suppose -f + 6*f = -2*g + 227, 2*f + 312 = 3*g. Let m = g - 64. What are the prime factors of m? 2, 3, 7 Let z(w) = -2*w**2 - 87*w - 54. What are the prime factors of z(-31)? 7, 103 Let g be (1 + 1008/(-3))*-1. Suppose -50 - g = -5*...
{ "pile_set_name": "DM Mathematics" }
-21912*r**3 + 6 Find the second derivative of -174*m*s**2*t**2 - 3*m*s**2*t + 2*m*s*t**3 - 12*m*s - 13*m + s**2*t**3 wrt s. -348*m*t**2 - 6*m*t + 2*t**3 What is the third derivative of -651*k**5 + k**4 + 8*k**2 + 11*k + 3 wrt k? -39060*k**2 + 24*k Find the first derivative of 331*k - 64. 331 Find the third derivative o...
{ "pile_set_name": "DM Mathematics" }
-2413 - -4? -2404 In base 14, what is 362 + -7? 359 In base 11, what is 4 - 93410? -93407 In base 3, what is -11020 - 1112? -12202 In base 2, what is 10010000110010001011 + 101? 10010000110010010000 In base 12, what is -3 - 9909? -9910 In base 14, what is a2c - -52? a80 In base 9, what is 7765 - -40? 7815 In base 13, ...
{ "pile_set_name": "DM Mathematics" }
-5.36. What is the second biggest value in t, -6, 7, 0.1? t Let a be 1*(7/4 - 2). Let j = -931/5 + 187. What is the smallest value in 11, a, j? a Let y = 5.8 - 7.4. Let l = -30.7 - -29. Let n = y - l. What is the biggest value in n, -0.4, 11? 11 Let v be 18/(-72) + 3/(-84). What is the second smallest value in 1, v, -...
{ "pile_set_name": "DM Mathematics" }
a composite number? True Suppose -o = o + 142. Suppose 2*k = -2*k + 744. Let x = k - o. Is x prime? True Let u(v) = 137*v**2 - 11*v - 55. Is u(12) composite? False Suppose 5*h - 20*v - 724748 = -17*v, -3*h + 434843 = 4*v. Is h composite? True Let m(k) = -802*k - 89. Is m(-19) a prime number? True Suppose 0 = -18*r + 13...
{ "pile_set_name": "DM Mathematics" }
f = -5*s - 680, -s - 44 = 5*f + 76. Let g = -49 - s. Calculate the highest common factor of k and g. 13 Let k = 406 + -219. Calculate the greatest common factor of k and 17. 17 Let d(w) = 15*w**3 - 2*w**2 - 4*w + 4. Let y be d(2). Calculate the highest common factor of 27 and y. 27 Suppose 0 = -2*n + 3*m + 142, 563 - 1...
{ "pile_set_name": "DM Mathematics" }
- l**4 - 447*l**3 - 37893*l**2 - l. 1440*l**2 - 24*l - 2682 Find the second derivative of 29722*b**2*v**2 - 260*b*v - 18*v**2 wrt b. 59444*v**2 What is the second derivative of -4*k**4 - 3*k**3*u - k**3 + 246*k**2 + 19670*k*u + 3*u wrt k? -48*k**2 - 18*k*u - 6*k + 492 Find the first derivative of 38*m**2*u + 7*m*o**3*u...
{ "pile_set_name": "DM Mathematics" }
umber? False Is 10193336831 a composite number? False Is 221556720127 composite? False Is 3170011183 a composite number? False Is 44088866131 a composite number? False Is 33561464081 a composite number? False Is 17261501947 composite? True Is 573179353 composite? True Is 443676137 a composite number? False Is 798832157...
{ "pile_set_name": "DM Mathematics" }
8? 11/69 Which is smaller: 1428 or 527? 527 Is 17117 greater than or equal to 290973/17? True Which is bigger: 0 or 10/57741213? 10/57741213 Which is greater: 6/25 or -170.753? 6/25 Do 305595980 and 305595980 have different values? False Is 4125972 not equal to 0.04? True Which is bigger: -402/3950131 or 0? 0 Is 3554 <...
{ "pile_set_name": "DM Mathematics" }
*j + 56 - 12. What is the least common multiple of j and 8? 88 Let b = -3982/5 + 1605/2. Calculate the common denominator of 143/6 and b. 30 Calculate the smallest common multiple of ((-9)/(-6))/(9/42) and 4. 28 Suppose -4*v - 4*h + 4 = -16, -5*h - 15 = 0. Suppose 3*g - 56 = -8. What is the lowest common multiple of v ...
{ "pile_set_name": "DM Mathematics" }
s the hundreds digit of 461209? 2 What is the hundreds digit of 48481? 4 What is the millions digit of 1934218? 1 What is the hundred thousands digit of 1637204? 6 What is the hundreds digit of 189358? 3 What is the ten millions digit of 17006957? 1 What is the hundred thousands digit of 2564641? 5 What is the units di...
{ "pile_set_name": "DM Mathematics" }
y 58? 17 Calculate the remainder when 28048565 is divided by 233738. 5 What is the remainder when 41765472 is divided by 1252? 4 What is the remainder when 1762388 is divided by 352476? 8 What is the remainder when 1250074 is divided by 155? 154 What is the remainder when 16216795 is divided by 26? 23 Calculate the rem...
{ "pile_set_name": "DM Mathematics" }
6) Factor -4*z**2 + 540452*z - 8646208. -4*(z - 135097)*(z - 16) Factor -2*b**4/7 - 18792*b**3/7 - 5959992*b**2 + 11532835264*b/7. -2*b*(b - 248)*(b + 4822)**2/7 Factor 4*c**2/3 - 580247420*c/3 + 580247416/3. 4*(c - 145061854)*(c - 1)/3 Determine g, given that -2*g**2/3 - 11590*g + 22960028/3 = 0. -18022, 637 Suppose ...
{ "pile_set_name": "DM Mathematics" }
sqrt(425))*2 + -2*(sqrt(425) + 1*sqrt(425))*-4 + 4 + -2))**2. 30000*sqrt(17) + 4250900 Simplify 1*(5 + (sqrt(3888) + -1)**2) + (-3 + (sqrt(48) + 1)**2 - sqrt(576)/(sqrt(48)/sqrt(4))) + 4. -68*sqrt(3) + 3944 Simplify (-1 + -6*-2*(2*sqrt(891) + 2)*3)*-6. -3888*sqrt(11) - 426 Simplify 4 + ((3 + sqrt(684) - sqrt(684))*-5 ...
{ "pile_set_name": "DM Mathematics" }
0/58240 1/16 Calculate ((-104)/572*33 - (471/(-117) - 2))*-2. -2/39 (-18 - 6144/(-448))/(64/(-7) + 6) 15/11 What is 11 + -2 + 29172/(-357) + (-63)/49? -74 What is the value of ((-4120)/47380 - 3*(-68)/230)/((-2)/(-60))? 24 What is the value of ((-34)/(-238))/(1/(34/(-85) - (-7)/5))? 1/7 Evaluate -2 + 96/44 + -10 + 1058...
{ "pile_set_name": "DM Mathematics" }
2*s**2 + s. Let m(o) = o**2. Calculate 2*j(c) - 4*m(c). 16*c**3 + 2*c Let j(m) = -11*m - 3. Let d(y) = 6*y + 1. Calculate -5*d(s) - 2*j(s). -8*s + 1 Let m(u) be the second derivative of 13*u**4/12 + 7*u**2/2 + u. Let g(d) = -4*d**2 - 2. Suppose 0 = 3*c + 4*s + 10, 4*c = -0*c - 4*s - 8. Give c*m(z) + 7*g(z). -2*z**2 Le...
{ "pile_set_name": "DM Mathematics" }
106*i - 6*i + 843 + 844. -112*i Collect the terms in 111996*o + 863*o**3 - 111996*o. 863*o**3 Collect the terms in 30*a**2 - 86 + 14*a - 287 - 16*a + 373. 30*a**2 - 2*a Collect the terms in 15*d - 46 - 49 - 79. 15*d - 174 Collect the terms in -2*g + 581 + 190 - 3*g + 27*g**2 + 3*g. 27*g**2 - 2*g + 771 Collect the terms...
{ "pile_set_name": "DM Mathematics" }
is 2239489 to the power of 1/2, to the nearest integer? 1496 What is 15108513 to the power of 1/4, to the nearest integer? 62 What is the ninth root of 709024 to the nearest integer? 4 What is 409307 to the power of 1/2, to the nearest integer? 640 What is the fifth root of 5085550 to the nearest integer? 22 What is th...
{ "pile_set_name": "DM Mathematics" }
itive. w**(49/3) Simplify (j**(-1/4)/j)**(-24)/(j*j**(5/4)*j**30) assuming j is positive. j**(-9/4) Simplify (z*z**(-3/22)*z)/(z*z*z/(z**34/z))*(z**31)**45 assuming z is positive. z**(31391/22) Simplify (a**(-6)*a*a**(-1/9)*((a/a**(-2/5))/a)**50)**(-3/5) assuming a is positive. a**(-134/15) Simplify (l**(-2/11)*l)**(-2...
{ "pile_set_name": "DM Mathematics" }
182*b**2 + 230*b**2 - 153*b**2 as w*b**2 + p + c*b and give p. 2 Rearrange -124 + 18*u**2 - 19*u**2 - 21 to the form l + q*u**2 + j*u and give q. -1 Express 2*i + 2*i + 0*i + (-i + 2 - 2)*(3 - 1 + 0) + 39*i + 15*i + 17*i in the form h*i + w and give w. 0 Rearrange 5 - 7*v**2 - 1 - 2*v - 964*v**3 + 960*v**3 - 5 - v**4 ...
{ "pile_set_name": "DM Mathematics" }
: 4, w: 2, x: 2, s: 3, y: 2, m: 2}. Give prob of picking 2 w and 2 y. 1/1365 Calculate prob of picking 4 o when four letters picked without replacement from ocqccococqqicocqocq. 5/3876 Three letters picked without replacement from qqqqqqqqqq. What is prob of picking 3 q? 1 Three letters picked without replacement from ...
{ "pile_set_name": "DM Mathematics" }
8889 and 376. -1588513 Calculate 18778746.57 + -0.4. 18778746.17 0.2+945672 945672.2 Put together -8419251766 and 1. -8419251765 Sum 32 and -72499022. -72498990 Total of -22.98577 and -9. -31.98577 314 - 28.156 285.844 Calculate 5818300 - 0.06. 5818299.94 Add 0.091904 and -6884. -6883.908096 Subtract 82504 from -2.03. ...
{ "pile_set_name": "DM Mathematics" }
9 to 4 dps. 0.0313 Round 117.3748328 to the nearest integer. 117 Round -2076544.9 to the nearest one hundred thousand. -2100000 What is 549298000 rounded to the nearest one million? 549000000 Round 13.57036292 to 1 decimal place. 13.6 Round 2363.73248 to the nearest one hundred. 2400 What is 16817802.1 rounded to the n...
{ "pile_set_name": "DM Mathematics" }
? 5/153 Calculate prob of picking 3 w when three letters picked without replacement from {w: 6, f: 6, p: 3}. 4/91 What is prob of picking 4 r when four letters picked without replacement from rrrrlrrrrrrlrl? 30/91 What is prob of picking 1 i and 2 a when three letters picked without replacement from eeeeieeaaeeaieeeiae...
{ "pile_set_name": "DM Mathematics" }
ate -67 + 65 + 0 - (62 + (-3 - 1)). -60 0 + -25 + -1640 + 1672 + (-15 - 1) -9 What is the value of 60 + 29 + -74 - -3? 18 What is -19 + 29 - ((-37 - -30) + -2 + -1)? 20 What is the value of -64 + 2 + -14 + (-13 - -5) + 49 + -16? -51 What is (-1 - 30) + 29 + 4? 2 What is the value of 80 + (-70 + 66 - 75)? 1 Calculate 1 ...
{ "pile_set_name": "DM Mathematics" }
t - 3. Let q(h) = -4*p(h) - 7*x(h). Let m(u) = -u**2 - 1. Suppose 0 = j + 1, -4*n - j - 5 = -0*n. Give n*q(s) + m(s). -s**2 + s - 2 Let b(z) = 2*z**3 + 2*z**2 - z - 3. Let u(i) = -2*i**3 - 3*i**2 + 2*i + 4. Suppose 6*a + 22 = 4. Calculate a*b(j) - 2*u(j). -2*j**3 - j + 1 Let k(j) = -5*j**2 + 2*j + 2. Let u(g) = -1. Det...
{ "pile_set_name": "DM Mathematics" }
In base 7, what is -1210103636 - 3? -1210103642 In base 13, what is -11b81b - 1c? -11b83a In base 5, what is 1421344410003 + 0? 1421344410003 In base 13, what is -4297523 + 2? -4297521 In base 16, what is -34 + -8753? -8787 In base 6, what is -13 + -2405014? -2405031 In base 3, what is -2012122221022 + 1212? -201212221...
{ "pile_set_name": "DM Mathematics" }
0 Sort 3/8, -140, 3/7, 5, 3, -1 in descending order. 5, 3, 3/7, 3/8, -1, -140 Sort 1, -7, -1, 4, -5, 2 in ascending order. -7, -5, -1, 1, 2, 4 Put 11, 577, 5, 1/3, 3 in decreasing order. 577, 11, 5, 3, 1/3 Put 13, 1, -4, -3, 15, 36 in descending order. 36, 15, 13, 1, -3, -4 Put -20, 9, 38 in decreasing order. 38, 9, -2...
{ "pile_set_name": "DM Mathematics" }
f n(b) wrt b? -48*b**2 Let j(m) = 12*m**4 - 3*m**3 - 3. Let x(l) = -11*l**4 + 4*l**3 - l**2 + 4. Let k(g) = -4*j(g) - 3*x(g). Find the third derivative of k(o) wrt o. -360*o Let k(n) = -30*n**5 - 2*n**3 + 29*n**2. Let v(o) = -o**5 - o**3 - o**2. Let f(m) = -k(m) + 2*v(m). Find the third derivative of f(y) wrt y. 1680*y...
{ "pile_set_name": "DM Mathematics" }
llect the terms in 18*o**2 - 18*o**2 + 12*o**2 - 2*o. 12*o**2 - 2*o Collect the terms in -6 - 4 - 1554*w + 1549*w + 10. -5*w Collect the terms in 2 - 2 - 47895*f + 47901*f. 6*f Collect the terms in -187*m**2 + 117*m**2 + 74*m**2. 4*m**2 Collect the terms in l - 16*l**3 + 18*l**3 - 11*l**2 + 114*l**2 + 4*l. 2*l**3 + 103...
{ "pile_set_name": "DM Mathematics" }
f 5899 and 51? 17 What is the greatest common factor of 444 and 9213? 111 Calculate the greatest common factor of 1419 and 172. 43 What is the highest common factor of 1156 and 544? 68 What is the highest common divisor of 6920 and 240? 40 Calculate the greatest common divisor of 279 and 45. 9 Calculate the greatest co...
{ "pile_set_name": "DM Mathematics" }
604 = 4*p, 5*p + 74*x - 14534 = 75*x. Does 18 divide p? False Does 14 divide 2 - 1/(12/(-39984))? False Suppose 5*t + 620 = -5*v, -5*t - 489 - 134 = 4*v. Let f = t + 283. Suppose -3*l = 3*l - f. Is 13 a factor of l? True Suppose 0 = -3*z + 12 - 6. Suppose -426 = -4*r + z. Is r a multiple of 12? False Let z(x) = 11*x - ...
{ "pile_set_name": "DM Mathematics" }
alculate the highest common factor of i and l. 1 Let z(m) = -m - 2 - 5 + 3 - 2. Let v be z(-9). Calculate the highest common divisor of v and 24. 3 Let p = 270 - 214. Calculate the greatest common factor of p and 1736. 56 Let y(r) = r**3 - 12*r**2 + 9*r + 16. Let h be y(11). Let a be (-4)/h - 160/(-3). Suppose -174 = -...
{ "pile_set_name": "DM Mathematics" }
than or equal to -4/13? True Let v = 44408659115 - 21138469837529/476. Let n = -109036 + v. Let t = -1/68 + n. Which is bigger: 1 or t? 1 Suppose 70 + 86 = 12*m. Which is bigger: m or 12? m Let w(a) = -4*a - 73. Let z be w(-18). Is z bigger than 7/79? False Suppose -10*u + 6*u = 4. Let r = u - -1. Do r and 4/5 have th...
{ "pile_set_name": "DM Mathematics" }
j**5/10 - j**3/6 + 55*j**2/2 + 57*j. Find the second derivative of x(q) wrt q. 444*q Let k = 1 - -4. What is the second derivative of -1 - 5 + 6 - 17*q**k - 7*q wrt q? -340*q**3 Let k(b) be the third derivative of -2*b**7/15 - 47*b**5/12 - 2*b**2 + 6*b. Find the third derivative of k(r) wrt r. -672*r What is the first ...
{ "pile_set_name": "DM Mathematics" }
Calculate the greatest common divisor of 6086 and 1462. 34 What is the greatest common divisor of 457680 and 240? 240 Calculate the greatest common factor of 15314 and 1586. 26 Calculate the highest common divisor of 298 and 591977. 149 Calculate the greatest common divisor of 4400479 and 427. 61 What is the greatest ...
{ "pile_set_name": "DM Mathematics" }
+ s + 7 = 5*i, -4*m + i + 12 = 0. Solve -3*k + 2*k = l + 5, 20 = -3*k - m*l for k. 0 Let w(h) = -h**3 + 8*h**2 - 6*h + 5. Let i be w(5). Let c = i + -48. Solve 0*t - c*d = 5*t - 23, 7 = 5*t - 2*d for t. 3 Let w(k) = -k + 14. Suppose 6 = -6*t + 9*t. Let r be ((-6)/(-18))/(t/60). Let p be w(r). Solve 0 = 3*b + s - 11, p*...
{ "pile_set_name": "DM Mathematics" }
4. 17 Calculate (66/(-528))/(117/120 - 1). 5 What is (0 - (-1)/2)/((-5186)/41488)? -4 What is the value of 1/4*((-202)/4949)/(10/(-112))? 4/35 Calculate -1*5 - 10668/(-2032). 1/4 Evaluate (2345/(-335))/(8 + -6 - 59/26). 26 Evaluate 2368/(-168) + 14 - 2/(84/(-1054)). 25 (-16*44/704)/1 -1 What is the value of (26/(-10) -...
{ "pile_set_name": "DM Mathematics" }
56/(-116)*(-11)/(-15) and -101/24. 3480 Suppose -4*n - 6 = 218. Let d be 27/(-45) + n/(-10). Let g(p) = 5*p - 21. Calculate the smallest common multiple of 2 and g(d). 4 Let m = 731641/359 - 2038. Let t = m + 34111/2154. Find the common denominator of t and (30/(-8))/(-5)*-54. 6 Suppose 2583*r = 2572*r + 825. Calculate...
{ "pile_set_name": "DM Mathematics" }
- 3151168. -(j - 7432)*(j - 8)*(j + 53) Find c such that 3*c**5/7 + 2637*c**4/7 + 138585*c**3/7 + 264015*c**2/7 - 138588*c/7 - 266652/7 = 0. -823, -54, -2, -1, 1 Suppose 5*d**3 + 1607280*d**2 - 25717845*d - 27325120 = 0. Calculate d. -321472, -1, 17 Let -u**2 + 1629*u + 4351950 = 0. What is u? -1425, 3054 Find u, give...
{ "pile_set_name": "DM Mathematics" }
5. 3739980*r**2 What is the second derivative of 1414596*w**2 - 4*w - 574445 wrt w? 2829192 Differentiate 8*b**4 + 21*b**3 - 22*b + 17476 wrt b. 32*b**3 + 63*b**2 - 22 Find the second derivative of 364660*d**4 - 71428*d. 4375920*d**2 Find the first derivative of -41842*c + 8978 wrt c. -41842 What is the third derivativ...
{ "pile_set_name": "DM Mathematics" }
5) to base 14. 351944 Convert 1011122010 (base 3) to base 10. 23061 Convert -1579d8 (base 15) to base 2. -11111101100000010001 10100110101000101 (base 2) to base 8 246505 Convert 132132230 (base 4) to base 8. 363654 What is 201112200010 (base 3) in base 11? 243012 Convert 2260403 (base 7) to base 13. 9c080 -10031460 (b...
{ "pile_set_name": "DM Mathematics" }
Suppose 265*p - 1701 = 949. Solve -86 + 6 = p*x for x. -8 Let u(l) be the third derivative of 3*l**6/40 + l**5/30 - l**4/8 + l**3/3 + 18*l**2. Let j be u(1). Let z be 4/j - 3/((-45)/159). Solve -4 - z = -5*q for q. 3 Let c = -147 + 290. Let o = c - 133. Solve -z = -o + 12 for z. -2 Let l be 2/((-8)/(-276))*(-12)/(-18)...
{ "pile_set_name": "DM Mathematics" }
Let q = 2 - 8. Is 399/14*(-4)/q a composite number? False Let z(o) = 169*o**3 - o**2 - 3*o + 3. Is z(2) a prime number? False Suppose -812 = -q + y - 308, 0 = 3*q + 5*y - 1472. Is q a composite number? False Let x(b) = b**3 - 5*b**2 - b + 6. Let t be x(5). Let s be 5 - (t + (1 - 1)). Suppose s*k + 2 = 86. Is k a prime ...
{ "pile_set_name": "DM Mathematics" }
35, -5934167? -5934199 What comes next: 135882, 271659, 407438, 543219, 679002? 814787 What comes next: 1830, -778, -7838, -21570, -44194, -77930, -124998? -187618 What is next in 92264, 92271, 92278, 92285, 92292, 92299? 92306 What comes next: 230753, 230821, 230889? 230957 What comes next: 3236, 12316, 27240, 48008, ...
{ "pile_set_name": "DM Mathematics" }
909 101200 (base 3) to base 5 2123 58 (base 13) to base 16 49 What is 13211 (base 5) in base 11? 880 Convert 348 (base 14) to base 11. 543 Convert 153 (base 8) to base 7. 212 -2041 (base 10) to base 5 -31131 What is -2201121 (base 4) in base 13? -4917 Convert -15194 (base 12) to base 2. -111001111000000 Convert -76425 ...
{ "pile_set_name": "DM Mathematics" }
32, -0.1, 1/3, -0.4? -0.1 Which is the closest to -2? (a) -13 (b) -2.321 (c) -1 (d) -3/4 (e) 0.2 b What is the closest to -7/2 in 89, -7/2, -0.512, 2/7? -7/2 Which is the closest to -0.2? (a) -543/2 (b) -1/9 (c) -1/4 (d) 0.91 c Which is the closest to -4124? (a) -3 (b) -4 (c) 0.2 (d) 155/3 b Which is the ...
{ "pile_set_name": "DM Mathematics" }
386, -577? -820 What is the next term in -57, -110, -175, -258, -365, -502, -675? -890 What comes next: 19, -3, -41, -95, -165? -251 What is the next term in 3, -5, -19, -39, -65? -97 What comes next: -94, -232, -444, -724, -1066, -1464, -1912, -2404? -2934 What comes next: 2161, 2156, 2153, 2152? 2153 What comes next:...
{ "pile_set_name": "DM Mathematics" }
3 + sqrt(2))*1). -25*sqrt(17)/8 Simplify (4*sqrt(540)*-2*-1)/((1*sqrt(6)/sqrt(2) + -6*-1*sqrt(3))*5). 48*sqrt(5)/35 Simplify ((sqrt(104) - (sqrt(104) - (sqrt(104) + -1*sqrt(104) - sqrt(104))))*-1 - sqrt(104) - sqrt(104)*2*3)/(-1*(sqrt(512) - sqrt(512)*-1)) + -2. -2 + 3*sqrt(13)/8 Simplify 5 + -4*-1*(3 + sqrt(1008)) - (...
{ "pile_set_name": "DM Mathematics" }
3)*r. Determine v(n). 10 Let h be 17/4 + (-1)/4. Suppose 2*s = 5*s - 6. Let y(j) = 9 - h + 5*j**s + j**3 + 2*j - j. Calculate y(-5). 0 Let d(p) = 4*p - 35. Let w(v) = -4*v + 30. Let k(u) = 5*d(u) + 6*w(u). What is k(4)? -11 Let t(v) be the third derivative of -v**5/60 + v**4/8 + 5*v**3/6 + 57*v**2. Calculate t(4). 1 Le...
{ "pile_set_name": "DM Mathematics" }
uppose g = 3*h + 494. What is h rounded to the nearest 1000? 1000 Suppose -4*o + 12 = -4*t, 0 = -2*t + 6*t - 2*o + 6. Suppose t*y = -2*y + 1120000. What is y rounded to the nearest one hundred thousand? 600000 Let n = -358.9 - -423. Let j = 69 - n. What is j rounded to the nearest integer? 5 Let v be (-6)/3 - (1 + -7)....
{ "pile_set_name": "DM Mathematics" }
s o rounded to the nearest integer? 14 Let m = -69.96606 + -30754.46394. Let o = m + 30801.42989. Let r = -23 - o. What is r rounded to 4 decimal places? 0.0001 Let x = -40 - -17. Let o = -22.9999744 - x. Round o to 6 dps. 0.000026 Let h(p) = 618*p - 22. Let s be h(9). What is s rounded to the nearest 100? 5500 Let k =...
{ "pile_set_name": "DM Mathematics" }
of 3658? 2, 31, 59 What are the prime factors of 3769? 3769 List the prime factors of 6896. 2, 431 List the prime factors of 91443. 3, 11, 17, 163 What are the prime factors of 10288? 2, 643 What are the prime factors of 79585? 5, 11, 1447 What are the prime factors of 1142? 2, 571 What are the prime factors of 132487?...
{ "pile_set_name": "DM Mathematics" }
qq. 1 Calculate prob of sequence mtv when three letters picked without replacement from {x: 1, l: 1, m: 1, t: 1, v: 1}. 1/60 Two letters picked without replacement from gvrggqaqqoorogogqoro. What is prob of sequence va? 1/380 What is prob of sequence kkzk when four letters picked without replacement from kzzzzkzkkkkz? ...
{ "pile_set_name": "DM Mathematics" }
+ 3*n + 3795 = -1792. What is the remainder when t is divided by 26? 18 Let r = -1000 + 1472. Calculate the remainder when r is divided by 14. 10 Suppose 143*v - 814 = 23668 - 887. What is the remainder when 569 is divided by v? 74 Let t(a) = -5*a - 2*a + 5 + 8. Let s = -276 - -274. What is the remainder when t(s) is d...
{ "pile_set_name": "DM Mathematics" }
j = 5*i - 31. Solve 3*a - 2*r - 8 = 3, -i*a + 5*r = -15 for a. 5 Let a be -1*(2 + -2)*-1. Suppose -2*c + a*c = 0. Suppose 2*i - 18 = -5*y, 0*i + 4*i - 18 = -y. Solve -4*v - 8 = c, 5*n - 6 = 4*v + y for n. 0 Suppose -29 = -r + 5*g, 0 = -4*r + 3*g - g + 62. Solve -4*o + r = 3*z - 11, z = o - 1 for z. 3 Suppose 5*s = z, -...
{ "pile_set_name": "DM Mathematics" }
third derivative of 3*b**4/8 - b**3 + 269*b**2. Let m(s) = 5*s - 3. Suppose -3*l + 5 = -3*y + 2, -y - 3*l - 21 = 0. Determine y*c(h) + 11*m(h). h + 3 Let c(a) = -8*a. Let m(j) be the first derivative of -j**2/2 - 134. Give 2*c(p) - 10*m(p). -6*p Let w(j) = -4*j**3 - 4*j**2 + 3*j + 19. Let l(d) = 4*d**3 + 3*d**2 - 3*d -...
{ "pile_set_name": "DM Mathematics" }
t y = -98 + t. Is (-3678)/(-22) - (-12)/y composite? False Suppose 2*n - 10714 = n - 3*c, 5*n = -c + 53528. Is n a composite number? True Let g(n) = -2*n - 5. Let u be g(-4). Suppose -2*x - 9 = -u. Is x/(-7) + 764/14 a prime number? False Suppose -24 = -f - 20. Suppose -f*a = 5*a - 8937. Is a prime? False Let u(d) = -d...
{ "pile_set_name": "DM Mathematics" }
t m(w) = -w - 1. Let g(l) = 14*l + 13. Let t(q) = -6*g(q) - 78*m(q). Let j(u) = -2*u - 4*u + u. What is d*t(c) + 5*j(c)? -c Let z(r) = r**3 - 6*r**2 - 5*r - 4. Let q(c) = c**3 - 11*c**2 - 9*c - 8. Calculate -6*q(w) + 11*z(w). 5*w**3 - w + 4 Let n(f) = f**2 - 1. Let z(i) = -4*i**2 + i + 3. Determine -2*n(s) - z(s). 2*s*...
{ "pile_set_name": "DM Mathematics" }
tters picked without replacement from nxznnnnzzzzj. Give prob of picking 1 x and 1 n. 5/66 Three letters picked without replacement from {h: 7, p: 3}. What is prob of picking 3 p? 1/120 Four letters picked without replacement from ubbuubbebuuububuubbb. What is prob of picking 2 b and 2 u? 108/323 Two letters picked wit...
{ "pile_set_name": "DM Mathematics" }
first derivative of 37*x**3/3 - x - 2. Let f be z(-1). Suppose -4*p + 4 = -f. List the prime factors of p. 2, 5 Let w(t) = -4*t + 7. Let b be w(6). Let q = b + 32. List the prime factors of q. 3, 5 Let h(y) be the second derivative of y**4/12 - y**3/6 + 3*y**2/2 - 3*y. What are the prime factors of h(0)? 3 Let w be (4...
{ "pile_set_name": "DM Mathematics" }
ist the prime factors of 2361378. 2, 3, 103, 3821 What are the prime factors of 512986? 2, 256493 What are the prime factors of 2237? 2237 What are the prime factors of 1053531? 3, 19, 61, 101 List the prime factors of 221073. 3, 59, 1249 What are the prime factors of 2130318? 2, 3, 19, 6229 List the prime factors of 4...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from swwswws. What is prob of sequence ws? 2/7 Three letters picked without replacement from kkkkbkb. Give prob of sequence kbb. 1/21 What is prob of sequence xat when three letters picked without replacement from xttxxttttaxtt? 8/429 Four letters picked without replacement from rdrddd. Give...
{ "pile_set_name": "DM Mathematics" }
-157/1104? 5520 What is the common denominator of 137/6 and 67/54? 54 Calculate the smallest common multiple of 10 and 610. 610 Calculate the smallest common multiple of 108 and 4. 108 Calculate the common denominator of 1/11 and 59/44. 44 Calculate the least common multiple of 216 and 112. 3024 Find the common denomi...
{ "pile_set_name": "DM Mathematics" }
st common multiple of 321016 and 5? 1605080 What is the common denominator of 101/750 and 37/900? 4500 Calculate the common denominator of -55/31186 and -113/27162. 842022 What is the common denominator of 79/178436 and -34/11? 1962796 What is the common denominator of 7/1665 and 53/18795? 2086245 Calculate the smalles...
{ "pile_set_name": "DM Mathematics" }
1 + l**2 - 2*l**2. Let a(k) = -5*f(k) + 6*y(k). What is a(q)? -8 Let b = -326 + 321. Let v(s) = s**3 + 5*s**2 + 4*s + 4. Determine v(b). -16 Let z(x) be the third derivative of -x**5/60 - x**4/4 - 5*x**3/6 - 97*x**2. Give z(-6). -5 Let o(y) be the first derivative of -y**2/2 + 6*y + 30. Let r = 37 - 31. What is o(r)? 0...
{ "pile_set_name": "DM Mathematics" }
e nearest to -1 in -2/21, 35, -0.3, 0.8? -0.3 Which is the closest to 4? (a) 2/87 (b) -237 (c) 1 c What is the closest to -2/9 in 38426, -1, -1/4? -1/4 Which is the nearest to -6? (a) -5 (b) 1/102 (c) 0.2 a Which is the nearest to 1? (a) -6.8 (b) -0.1 (c) 6/5 (d) 8 c Which is the nearest to 0.1? (a) -1/2 (b...
{ "pile_set_name": "DM Mathematics" }
-4/205? 194135 What is the lowest common multiple of 1892 and 5848? 64328 What is the common denominator of -47/22920 and 155/7104? 6784320 What is the least common multiple of 6143 and 1323? 8127189 What is the common denominator of 191/194010 and 71/232? 776040 Calculate the lowest common multiple of 4995 and 111. 49...
{ "pile_set_name": "DM Mathematics" }
*2 + z - 5. Let x(o) = -o**3 - 5*o**2 + 17*o + 21. Let g be x(-7). Give f(g). -3 Let n(i) be the third derivative of 2/3*i**3 - 6*i**2 + 0 + 0*i + 1/3*i**4 - 1/60*i**5. Calculate n(8). 4 Let q(d) = -26 + 26 + d**2 + 5*d**2 + 5*d. Let x(k) = 7*k**2 + 5*k - 1. Let h(j) = 6*q(j) - 5*x(j). Calculate h(-4). 1 Let o(y) = -8*...
{ "pile_set_name": "DM Mathematics" }
is divided by -2 - -8 - (-1 - (10 - -16))? 14 Let a(g) = g + 826. Calculate the remainder when a(-10) is divided by 13. 10 Let h(y) = -9*y + 116. Let l be h(14). Let p = l + 25. What is the remainder when 24 is divided by p? 9 Suppose 132*z - 47936 - 45708 = -32*z. What is the remainder when z is divided by 550? 21 Le...
{ "pile_set_name": "DM Mathematics" }
, z: 1, o: 1, b: 1}. Give prob of sequence orbv. 1/280 Calculate prob of sequence ju when two letters picked without replacement from bobbjbquq. 1/72 Calculate prob of sequence yyy when three letters picked without replacement from gtyttgtygttttttyyt. 1/204 Two letters picked without replacement from mprrmrprprrrmprm. ...
{ "pile_set_name": "DM Mathematics" }
-111, 0.02, 1119, 0 in ascending order. -111, -2/11, 0, 0.02, 1119 Sort -0.2, -7/2, 0, 3/5, -1/12, 32. -7/2, -0.2, -1/12, 0, 3/5, 32 Sort 36, 4, -4, 831, -1. -4, -1, 4, 36, 831 Sort -4, -7, 4, -3, 307184, -1 in decreasing order. 307184, 4, -1, -3, -4, -7 Sort -0.2198, 1/10, 3, -801. -801, -0.2198, 1/10, 3 Sort -20, -1,...
{ "pile_set_name": "DM Mathematics" }
h/h**(-2/13)*h/(h**(-2/5)/h))/(h/(h*h*h*h**6)*h*h*h**(1/3)/h) assuming h is positive. h**(1993/195) Simplify d**6*d**(1/7)*(d*(((d/(d*d**(-4/5)))/d)/d)/d)/d*d*d*d**5 assuming d is positive. d**(383/35) Simplify (d*(d*d*((d**(-2)*d)/d)/d*d)/d)**(44/5)/(((d**(-2/7)/d)/d)/d)**(-31/2) assuming d is positive. d**(-713/14) S...
{ "pile_set_name": "DM Mathematics" }
u) = -4*u. What is y(n(c))? 48*c**2 - 128*c Let r(m) = 23*m**2 - 2. Let f(k) = 24*k**2 - 3. Let t(v) = -4*f(v) + 6*r(v). Let p(q) = -14*q + 30*q - 18*q. Calculate t(p(j)). 168*j**2 Let h(s) be the third derivative of s**5/60 - 3*s**2. Let y(d) be the second derivative of 0*d**3 - 13*d + 5/6*d**4 + 0*d**2 + 0. Calculate...
{ "pile_set_name": "DM Mathematics" }
-196.2 + 145.2. Which is the nearest to -1? (a) -2 (b) 4 (c) -1 (d) p c Let j be ((-1)/2)/((-4)/16). Suppose j*f + 0*f - 2 = 0. Suppose -3*o + o + y = -11, -5*o + 32 = -4*y. Which is the closest to f? (a) o (b) -5/3 (c) 1 c Let o be ((-3)/(-54))/((-13)/39). What is the closest to -2 in o, -1, -1/2? -1 Let i = -...
{ "pile_set_name": "DM Mathematics" }
t 1, -3, l in increasing order. l, -3, 1 Let f be ((-3)/(-2))/(2/(-4)). Let i = -65.8 - -60. Let u = i - -0.8. Put -4/3, f, u in increasing order. u, f, -4/3 Let x = -57 + 54. Put -4, x, 4 in ascending order. -4, x, 4 Suppose 0 = -7*d + 3*d. Sort -3, -2, d in ascending order. -3, -2, d Suppose 5*i - 5 = 0, -4*m - 4*i -...
{ "pile_set_name": "DM Mathematics" }
2 Let r(d) = 2*d - 2. Let x(o) = -1. Let k(m) = r(m) - 2*x(m). Let j(g) = -8*g + 26*g - 44*g. What is k(j(u))? -52*u Let v(o) = 5*o**2. Let r(x) = 6*x**2 - 15*x. Let l(n) = -30*n**2 + 80*n. Suppose -28 = -j - 31. Let t(q) = j*l(q) - 16*r(q). What is t(v(w))? -150*w**4 Let y(k) = 316*k**2 + 2 - 434*k**2 + 543*k**2. Let ...
{ "pile_set_name": "DM Mathematics" }
rder. n, 1, o, -5 Let i(d) = d**3 + 4*d**2 - d - 2. Let x be i(-4). Let g be -5*1*24/24. Put -1, g, x, -2 in decreasing order. x, -1, -2, g Let d = -403.8 + 404. Sort 4/5, -0.3, -3/8, d. -3/8, -0.3, d, 4/5 Let n = -2335 - -2333.967. Let y = 0.033 + n. Let h = -1.4 - 2.6. Put 0.13, y, h in decreasing order. 0.13, y, h L...
{ "pile_set_name": "DM Mathematics" }
**2 + 4. Let a be t(0). Suppose -8*k**3 - 5 + 14*k**5 - 6*k - 24*k**a - 2 + 3 + 28*k**2 = 0. Calculate k. -1, -2/7, 1 Let j(l) = -l**3 - 21*l**2 + 2*l + 42. Let n be j(-21). Determine q so that 1/4*q**4 + 3/4*q**2 - 3/4*q**3 + n - 1/4*q = 0. 0, 1 Let g(o) = o**5 - o**4 - o**3 - o**2 - 1. Let t(n) = -23 - 9*n**3 + 11 + ...
{ "pile_set_name": "DM Mathematics" }
6*w**3. List the prime factors of y(7). 2, 13 Suppose 3*x - 5*i = 443 + 5891, 8455 = 4*x + 3*i. What are the prime factors of x? 2113 Let j = -7 - -7. Let z be (-6 + j)*(-4)/12. Suppose z*m - g - 74 = 0, -3*m + 137 = 3*g + 35. What are the prime factors of m? 2, 3 Let z(i) = -i**3 - 23*i**2 - 27*i - 99. List the prime ...
{ "pile_set_name": "DM Mathematics" }
6 - 2371*j**5 - 2942*j**2 wrt j. 840*j**3 - 142260*j**2 Find the second derivative of 413763*n**4 + 243*n + 539 wrt n. 4965156*n**2 What is the third derivative of -1475*i*m**6 - i*m**3 + 8*i*m**2 - 57*i + m**5 wrt m? -177000*i*m**3 - 6*i + 60*m**2 Find the first derivative of -406*k**3 + 103*k - 41440 wrt k. -1218*k**...
{ "pile_set_name": "DM Mathematics" }
What is the greatest common factor of 5 and z? 5 Suppose 10 = 11*f - 6*f - 5*r, -2*f + 5*r = 8. Calculate the greatest common factor of 96 and f. 6 Let m be (-6)/4*24/(-6). Let b(h) = -h**3 - 3*h**2. Let t be b(-3). Suppose -36 = -2*d - t*d. Calculate the highest common factor of m and d. 6 Suppose 4*r - 23 = -5*l, -2*...
{ "pile_set_name": "DM Mathematics" }
h be s(-12). Let f = h - 15. What is the least common multiple of (f + (-44)/16)*-24 and 20? 180 Let k be 18 + (10/(-5) - -1). Suppose w - 7 = k. What is the least common multiple of 39 and w? 312 Let f be (-72337)/30 + (-6)/(-45). Let n = -2400 - f. Find the common denominator of n and 43/27. 270 Let x = 145 - 97. Wh...
{ "pile_set_name": "DM Mathematics" }
n? 377, 457 Factor c**2 + 660*c + 6500. (c + 10)*(c + 650) Let -4*b**4 - 14804*b**3 - 29596*b**2 - 14796*b = 0. What is b? -3699, -1, 0 Factor h**4/4 - h**3/4 - 11*h**2/2 + 10*h. h*(h - 4)*(h - 2)*(h + 5)/4 Find k such that -5*k**4 + 90*k**3 + 2115*k**2 + 3940*k + 1920 = 0. -12, -1, 32 Factor -36*n**2 + 47630*n - 2646...
{ "pile_set_name": "DM Mathematics" }
501023 + -459726541. Let j = p - 224.5. What is j rounded to five dps? 0.00102 Let b = 2.29 + -2.199. Let x = b + -0.091037. Round x to five dps. -0.00004 Let r = 173366.9 + -156037. Round r to the nearest one thousand. 17000 Let h = 46 + -23. Let g = -3181363 + 3181385.999924. Let y = h - g. Round y to 5 decimal place...
{ "pile_set_name": "DM Mathematics" }
(-1)/(5/(-6) + 1). Find the common denominator of ((-39)/(-12))/((-3)/q) and t. 10 Let z = -65 + 101. What is the lowest common multiple of z and 22? 396 Let f = -11 - -15. Find the common denominator of -69/8 and 282/(-90)*(-3)/f. 40 Suppose -h + 0*h + 67 = 4*d, 4*d - 92 = 4*h. What is the least common multiple of d a...
{ "pile_set_name": "DM Mathematics" }
+ 5*o - 320 = 0. Calculate the remainder when (20/15)/((24/3633)/((-84)/(-98))) is divided by z. 55 Let g = -52 - -55. Suppose -g*s - 30*h = -27*h - 204, s + 3*h - 64 = 0. What is the remainder when 279 is divided by s? 69 Let u(r) be the third derivative of 55*r**4/8 - 5*r**3/6 - 19*r**2. Let f be u(1). Suppose 50 = ...
{ "pile_set_name": "DM Mathematics" }
29))/((v**(1/2))**25*v**(-1/8)/((v**(-2/11)/v*v)/v)) assuming v is positive. v**(-1911213/135256) Simplify ((m**(-6/5)/(m*m*m*m*m/m**14))/(m*m/m**4*m)**(-45))**(1/42) assuming m is positive. m**(-31/35) Simplify (((t**2)**47/(t/(t*((t/(t/(t/(t*t**(-3)/t))))/t*t)/t*t)*t)**(-45))**(8/15))**(-3/8) assuming t is positive. ...
{ "pile_set_name": "DM Mathematics" }
y(n) = 0. -22, 18 Suppose -220 - 2183 = 5*k - x, 0 = 3*k + 4*x + 1451. Let n = k + 1447/3. Determine l so that 0 + 10/9*l**2 - 10/9*l**4 - 10/9*l**3 - 2/9*l**5 + n*l = 0. -3, -2, -1, 0, 1 Let o(a) be the third derivative of 1/4*a**5 + 49*a**2 + 1/70*a**7 + 0 - 7/8*a**4 - 3*a**3 + 0*a + 7/40*a**6. Solve o(j) = 0 for j....
{ "pile_set_name": "DM Mathematics" }
40*x Collect the terms in 7 - 7 - 11*o - 7*o. -18*o Collect the terms in 834*l**3 - 1686*l**3 + 855*l**3. 3*l**3 Collect the terms in -33 + 4 + 2*a**3 - 3*a**3. -a**3 - 29 Collect the terms in -5*c + c - 9*c + 11*c. -2*c Collect the terms in -34*d**2 + 21*d**2 + 10*d**2. -3*d**2 Collect the terms in 558 - r - 558. -r C...
{ "pile_set_name": "DM Mathematics" }
m in -37095, -73011, -107743, -141291, -173655? -204835 What comes next: -8099, -8336, -8733, -9290, -10007? -10884 What is next in -1230, 424, 4908, 13638, 28030, 49500? 79464 What is the next term in -8190, -16405, -24658, -32949, -41278, -49645? -58050 What is the next term in 1539127, 3078214, 4617253, 6156244, 769...
{ "pile_set_name": "DM Mathematics" }