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+ t. Let i be ((-12)/(-9))/2*-1. Which is the third biggest value? (a) i (b) 0.5 (c) d c Let p = 17.852 + 0.148. Let m = 0.027 + 0.473. Which is the third smallest value? (a) m (b) -4 (c) p c Let a be 675/150*8/18. What is the third biggest value in a, 4.4, 0.1? 0.1 Let x = -168 - -505/3. Which is the third smal...
{ "pile_set_name": "DM Mathematics" }
ided by 35. 32 Suppose 2*o - 4*k = 62, 0 = 2*o - 5*k - 58 - 7. Calculate the remainder when 97 is divided by o. 22 Let u = -11 + 14. Calculate the remainder when 4 is divided by u. 1 Let c = 170 - 54. What is the remainder when c is divided by 40? 36 Let x = -70 - -105. What is the remainder when x is divided by 22? 13...
{ "pile_set_name": "DM Mathematics" }
/12 - 22*p + 92. Let q(k) be the first derivative of w(k). Let b(i) = -122*i**2. Give b(q(r)). -122*r**4 Let b(s) = 114803*s + 114810*s - 229622*s. Let r(y) = -133*y**2. Give r(b(w)). -10773*w**2 Let b(t) = -t. Let s(o) = -1138*o + 21*o - o**2 + 2*o**2 - 248*o. What is s(b(v))? v**2 + 1365*v Let m(j) be the first deriv...
{ "pile_set_name": "DM Mathematics" }
-1691*u - 4 What is the f'th term of 85, 84, 89, 100? 3*f**2 - 10*f + 92 What is the p'th term of 349, 685, 985, 1231, 1405? -3*p**3 + 357*p - 5 What is the c'th term of -60, -78, -94, -108, -120, -130, -138? c**2 - 21*c - 40 What is the l'th term of 388, 775, 1162, 1549? 387*l + 1 What is the p'th term of -95, -70, -4...
{ "pile_set_name": "DM Mathematics" }
+ -4. -4 + sqrt(2)/6 Simplify (-5*(3 + sqrt(832))**2 + sqrt(832))*5. -21025 - 1160*sqrt(13) Simplify (-3 + sqrt(17))*-5 + ((2*sqrt(119) - sqrt(119))/sqrt(7))**2. -5*sqrt(17) + 32 Simplify (sqrt(588)/sqrt(48))/(sqrt(14)/(sqrt(2) + sqrt(4)/sqrt(2))). sqrt(7) Simplify 3 + -1*sqrt(17) + sqrt(17) + 0 + (sqrt(102) - (sqrt(10...
{ "pile_set_name": "DM Mathematics" }
late v(n(u)). -8*u**2 Let o(c) = 163*c**2. Let n(g) = -6*g**2 + 30*g - 2. Give n(o(b)). -159414*b**4 + 4890*b**2 - 2 Let i(g) = 2*g**2. Let f(o) be the third derivative of -61*o**4/24 - 7*o**2 + 4*o. Calculate i(f(m)). 7442*m**2 Let g(n) = 83*n + 7. Let w(r) = 250*r + 20. Let c(i) = -14*g(i) + 5*w(i). Let y(t) = 5*t**2...
{ "pile_set_name": "DM Mathematics" }
m(i) - 6*z(i). What is the first derivative of s(y) wrt y? -18*y Let r be 5 + -1*(3 - 0). What is the first derivative of 5*j**4 - 2*j**4 - r - j**3 + j**3 wrt j? 12*j**3 Suppose 0 = -2*m - 0*m - 8. Let a = m - -6. Find the third derivative of 5*f**3 - a*f**2 - f**3 - 2*f**3 wrt f. 12 Let x(j) be the third derivative o...
{ "pile_set_name": "DM Mathematics" }
Suppose 0 = -3*f + 2*f + 2. Suppose -m = -2, 3*z + f*m - 51 = -m. List the prime factors of z. 3, 5 Let t(j) = j + 7. Let b be t(-7). Suppose m + 5*c - 3 = b, -2*m + c = 3 - 9. Suppose 0 = 5*d + m*p - 46, -p - 14 = -2*d - 0*p. List the prime factors of d. 2 Let l be (-4)/14 - 46/(-14). Let i(b) = 2*b**2 - 2*b - 4. Lis...
{ "pile_set_name": "DM Mathematics" }
in litres? 0.0003055148 How many millimeters are there in 19/4 of a meter? 4750 How many years are there in eleven quarters of a century? 275 What is seven sixths of a day in minutes? 1680 What is 1/5 of a litre in millilitres? 200 How many millilitres are there in twenty-six fifths of a litre? 5200 How many nanometers...
{ "pile_set_name": "DM Mathematics" }
-4*q - 38 = 3*o, 0 = -5*q + o - 0*o - 38. Let j(f) be the second derivative of -f**4/12 - 2*f**3 - 9*f**2/2 - 336*f - 3. Determine j(q). 23 Let v(n) be the third derivative of 13*n**4/24 + 49*n**3/6 - 3737*n**2. Determine v(-4). -3 Let x(m) = -1230*m - 3*m**2 - 1239*m - 2 + 2463*m. Calculate x(-4). -26 Let s(d) = 33*d...
{ "pile_set_name": "DM Mathematics" }
-4*h**2 Let o(n) = -7*n. Let x(q) = 899339*q**2. Determine x(o(b)). 44067611*b**2 Let v(z) = -3*z**2. Let k(y) = -148*y + 1. What is v(k(q))? -65712*q**2 + 888*q - 3 Suppose 8 = 22*c - 18*c. Let a(g) = 0*g + c*g - g - 2*g. Let k(x) = 1 - 1 - x**2. Give k(a(o)). -o**2 Let q(c) = -2*c**2. Let l(i) = -49*i + 35. Let x(o) ...
{ "pile_set_name": "DM Mathematics" }
What is the square root of 1477282 to the nearest integer? 1215 What is 1316217 to the power of 1/2, to the nearest integer? 1147 What is the third root of 2318239 to the nearest integer? 132 What is 145330 to the power of 1/2, to the nearest integer? 381 What is the square root of 6313527 to the nearest integer? 2513...
{ "pile_set_name": "DM Mathematics" }
ger? 3 What is the fourth root of 12191942 to the nearest integer? 59 What is 15363478 to the power of 1/6, to the nearest integer? 16 What is 13895602 to the power of 1/10, to the nearest integer? 5 What is 1389304 to the power of 1/4, to the nearest integer? 34 What is the cube root of 490851 to the nearest integer? ...
{ "pile_set_name": "DM Mathematics" }
b + 7126*b + 3104*b)*(2 - 2 + 2*b**2) in the form d*b**2 + f*b**3 + z*b + o and give f. 16124 Rearrange -3*s - 2*s - s + (s + s + s)*(16 - 5 + 1 + (-2 + 0 + 0)*(-1 - 5 + 5) + 1 + 2 - 1) to m*s + l and give m. 42 Express (3 - 6 + 2)*(-n + 2 - 2) + 4*n + n - 3*n + (-2 - 2 + 0)*(-n - n + n) + 24*n + 14*n - 2*n in the form...
{ "pile_set_name": "DM Mathematics" }
y(w) = -3*a(w) - 5*g(w). Suppose y(r) = 0. What is r? -1/3, 0 Let o(q) = -q**4 - q**3 - 1. Let n(w) = -6*w**4 - 5*w**3 + w**2 - 7. Let b(p) = 4*n(p) - 28*o(p). Factor b(m). 4*m**2*(m + 1)**2 Solve -11*b + 11*b - 4 + b**3 + 3*b**2 = 0. -2, 1 Solve 80/11*m**3 + 6*m**2 + 32/11*m**4 + 20/11*m + 2/11 = 0. -1, -1/4 Let n(l) ...
{ "pile_set_name": "DM Mathematics" }
a**2 - 3. Calculate the least common multiple of 16 and t(1). 48 Let g be (-16770)/2 - (8 - 7). Let y = 13022900 + -234563197/18. Let h = y - g. What is the common denominator of h and -29/20? 180 Let c be (4 - 6) + 4 + (-1 - 1). Suppose c = -8*o + 6*o + 22. Calculate the smallest common multiple of o and 3. 33 Let p(h...
{ "pile_set_name": "DM Mathematics" }
. Sort -5, f, 2 in descending order. 2, f, -5 Let n = 0 - -1.2. Let y = -0.2 + n. Let g = y - 0.5. Sort g, -0.2, 1 in ascending order. -0.2, g, 1 Let o = 3 - 1. Let t be 3/(-9) - 8/(-6). Suppose -4*g - 18 = 2. Put t, o, g in increasing order. g, t, o Let a = -8 + 10. Sort a, -1, 5 in descending order. 5, a, -1 Let g be...
{ "pile_set_name": "DM Mathematics" }
ens digit of z? 1 Suppose -6*m + 10 = -m. Let o(k) = k**3 - 2*k**2 + 4*k - 2. What is the units digit of o(m)? 6 Suppose j + 1 = 105. Suppose -5*g = 4 - j. What is the tens digit of g? 2 Let n(k) = -10*k - 15. What is the tens digit of n(-6)? 4 Let w = -26 - -97. What is the tens digit of w? 7 Let c = 4 - -1. Suppose z...
{ "pile_set_name": "DM Mathematics" }
What is the k'th term of 485, 472, 459, 446? -13*k + 498 What is the c'th term of 362, 746, 1144, 1562, 2006, 2482, 2996? c**3 + c**2 + 374*c - 14 What is the b'th term of 178, 367, 566, 775, 994? 5*b**2 + 174*b - 1 What is the p'th term of -57, -53, -49? 4*p - 61 What is the g'th term of 314, 312, 310, 308, 306? -2*g ...
{ "pile_set_name": "DM Mathematics" }
. What is p(o)? -9 Let l(a) = -a**3 + 6*a**2 - 4. Let s(f) = f**3 - f**2 + 1. Suppose -2*g = 3*g + 15, -4*r + 10 = -2*g. Let h(m) = r*l(m) + 2*s(m). Determine h(-3). 7 Suppose -v + 5*o + 20 = 4*v, o = -5*v + 26. Let s(t) = -t**3 + 7*t**2 - 8*t + 5. Determine s(v). 15 Suppose -x - 2 = -2*x. Suppose -4*v = -4*c - 16, -4*...
{ "pile_set_name": "DM Mathematics" }
= -2*t**2 + 5. Give k*q(i) - 4*a(i). -i**2 - 2 Let n(s) = 11*s. Let c(b) be the second derivative of -80 - 5/6*b**3 + 2*b + 0*b**2. Determine -5*c(a) - 2*n(a). 3*a Let a(z) = z. Suppose -4*p - 17 = 3*c, 5*p - 2*c = -4*c - 23. Let u(t) = -2*t - 2. Let g(v) = p*a(v) - u(v). Let f(b) = 5*b - 3. Determine -4*f(h) - 7*g(h)....
{ "pile_set_name": "DM Mathematics" }
9 What are the prime factors of 266097? 3, 13, 6823 What are the prime factors of 7252736? 2, 41, 691 What are the prime factors of 20637254? 2, 11, 938057 What are the prime factors of 33188? 2, 8297 List the prime factors of 291946. 2, 61, 2393 List the prime factors of 1824945. 3, 5, 89, 1367 What are the prime fact...
{ "pile_set_name": "DM Mathematics" }
*w + 2 + 3, -v = 3*w - 25. Suppose -5*h = 3*d - h - l, -5*h + v = 0. What is the tens digit of d? 5 Suppose -5*k + 2*k + 2*a - 264 = 0, 0 = -5*a. What is the units digit of (-12)/42 + (-5)/(70/k)? 6 Let k be (-1)/((-1)/265) - 0/(-7). Let s = k + -164. What is the units digit of s? 1 Suppose -1280 - 640 = -3*f. What is ...
{ "pile_set_name": "DM Mathematics" }
onths? 140 What is 9.693015 decades in months? 1163.1618 How many years are there in 3/10 of a millennium? 300 What is 2399690.7 months in centuries? 1999.74225 How many meters are there in seven quarters of a kilometer? 1750 Convert 170380022.4us to weeks. 0.000281713 How many minutes are there in five sixths of a hou...
{ "pile_set_name": "DM Mathematics" }
t(19) Simplify (sqrt(102)/(sqrt(18)*-2))/(sqrt(300)*-1*4). sqrt(17)/240 Simplify (3*(sqrt(200) - (sqrt(200) + sqrt(200) + sqrt(200)*2 + sqrt(200))))/((sqrt(90) - 2*sqrt(90))/sqrt(9) - sqrt(50)/(sqrt(10)/sqrt(2))). 12*sqrt(5) Simplify (sqrt(1815)*-4)/(sqrt(12) + (sqrt(12) - sqrt(72)/sqrt(6))). -22*sqrt(5) Simplify (sqrt...
{ "pile_set_name": "DM Mathematics" }
-5*q - o for q. 0 Suppose 0*w = -n - 3*w - 8, 0 = 2*n + 2*w - 4. Let l be ((-20)/n)/((-2)/7). Solve 5*o = -2*m + l, -5*m + 5*o - 8 = 37 for m. -5 Let i = -11 - 0. Let k = i + 11. Solve 2*j + 2*d - 4 = k, 0*j - 40 = 5*j - 5*d for j. -3 Let g(h) = h**3 - 4*h + 3. Let t be g(2). Solve 4*j + 2 - 3 = l, j = t*l + 14 for j....
{ "pile_set_name": "DM Mathematics" }
3498 Find the third derivative of -q**6 + 37*q**2 - 1886*q**5 + 12*q**4 + 7*q**6 + 1886*q**5 wrt q. 720*q**3 + 288*q Let q be (6/1)/(-3) - 14. Let y = -20 - q. Let a(n) = -n**2 - n. Let w(k) = -k**2 + 4*k - 3. Let u(i) = y*a(i) - w(i). Find the first derivative of u(d) wrt d. 10*d What is the third derivative of -63*r*...
{ "pile_set_name": "DM Mathematics" }
(a) 30 (b) 2/7 (c) -0.3 c What is the closest to -0.1 in 3, 78, -11, -0.4? -0.4 What is the nearest to -1 in 29, -6, 5? -6 Which is the nearest to 25? (a) 5 (b) -3 (c) -5 a What is the nearest to -1 in -4/5, 0, -4, 1/4? -4/5 What is the nearest to 5 in -3/4, -0.1, 2/15? 2/15 Which is the closest to 1? (a) 1 (b...
{ "pile_set_name": "DM Mathematics" }
lify ((((f**(7/6)/f)/f)/f)/f**9)/(f**8/(f**(-7/3)*f)) assuming f is positive. f**(-121/6) Simplify ((c**(2/13)/c)/(c*c/(c*c/(c*c**(2/3)))))/(c**(-1))**29 assuming c is positive. c**(1033/39) Simplify ((m/m**(-1)*m)**14)**11 assuming m is positive. m**462 Simplify m**(8/9)/(m/m**(-2/27)) assuming m is positive. m**(-5/2...
{ "pile_set_name": "DM Mathematics" }
t value? (a) -3/34 (b) 1 (c) -4 b Which is the third smallest value? (a) -0.8 (b) -0.1 (c) -0.4 (d) -0.3 (e) -0.13 d Which is the biggest value? (a) -3/25 (b) 1/13 (c) 0.4 c What is the second smallest value in 0.15, 545, -3/5? 0.15 What is the second smallest value in -1/6, 4, 0.2, 13? 0.2 Which is the bigg...
{ "pile_set_name": "DM Mathematics" }
be the third derivative of g(t). What is the first derivative of a(k) wrt k? 7 Let o be (210/4)/((-2)/(-8)). Let s be o/36 + 1/6. What is the third derivative of 8*i**6 + 6*i**2 - 14*i**s + 0*i**2 wrt i? -720*i**3 Let r(l) be the first derivative of -195*l**4/4 + 3*l**2/2 + 35*l + 76. Find the second derivative of r(p)...
{ "pile_set_name": "DM Mathematics" }
nearest integer? 42063 What is the square root of 409525722 to the nearest integer? 20237 What is the fifth root of 406927656 to the nearest integer? 53 What is the eighth root of 38668442 to the nearest integer? 9 What is 32123875 to the power of 1/9, to the nearest integer? 7 What is the square root of 1195585060 to...
{ "pile_set_name": "DM Mathematics" }
84 - (390/18)/(-13)*-1? -1/4 What is the value of (107/(-27) - 0) + 103/((-1236)/(-48))? 1/27 Evaluate (-45)/(-270) + 5/(-10)*1. -1/3 (-31 - -30)/(16/(-14) + 1) 7 Calculate (3/(-8))/(((-2)/(-13))/(396/(-429))). 9/4 Calculate (-7 + 8)/(0/6 - 45)*3. -1/15 Calculate 10*(-7)/28*(-6 + 0). 15 What is ((-936)/(-162) - 6) + (-...
{ "pile_set_name": "DM Mathematics" }
s: 1}. What is prob of picking 1 s and 1 x? 1/22 Two letters picked without replacement from xgkkpgiqx. Give prob of picking 1 p and 1 x. 1/18 Three letters picked without replacement from eeefeefeeeeeeeeefe. What is prob of picking 1 e and 2 f? 15/272 Two letters picked without replacement from {u: 7, g: 2, i: 1, o: ...
{ "pile_set_name": "DM Mathematics" }
i = 15 - 15. Let s(u) = 2*u + 5. Let v be s(i). Suppose 0 = 3*g - v*g - 3*k + 1292, -3*g = 3*k - 1941. Is g composite? True Let x = -11952 - -23185. Let i = x + -4244. Is i composite? True Suppose -4*o = 2*n - 143306, -5*o = -3*n + 63133 + 151793. Is n a prime number? True Let g = 422193 + 43508. Is g composite? False...
{ "pile_set_name": "DM Mathematics" }
culate the lowest common multiple of (-22)/p + (-130)/(-18) and 6. 42 Let h = -11/70 + 1919/630. Suppose 6*y = 2*y - 4*a + 4, -2*a = y + 1. What is the common denominator of h and (-24)/(-9) + -1 + y? 9 Let i = 45 - 40. Suppose 5*x - 4*v = 49, i = -8*v + 3*v. Calculate the smallest common multiple of x and 33. 99 Let h...
{ "pile_set_name": "DM Mathematics" }
4428.999 - -34497.999073. Let m = -69 + b. Round m to five dps. 0.00007 Let t = -0.02 - 47.98. Let h = 47.9424 + t. Let j = h - -0.053. What is j rounded to three dps? -0.005 Suppose -4*i = 2*x - 0*i + 13071996, -x - 5*i - 6535995 = 0. What is x rounded to the nearest 1000000? -7000000 Let j = 0.281521 + 116.619479. Le...
{ "pile_set_name": "DM Mathematics" }
b(w) = z*y(w) + 4*x(w). What is the second derivative of b(o) wrt o? 8 Let j(m) be the second derivative of -m**7/14 + m**3/3 - 10*m. What is the second derivative of j(d) wrt d? -60*d**3 Find the first derivative of -p**2 - 7*p**2 + 0 - 10 - 2*p**2 wrt p. -20*p Let u be 1/3 + 24/9. Find the third derivative of -n**3 +...
{ "pile_set_name": "DM Mathematics" }
r or x? x Let j be 32/14 - (-22)/(-77) - 22. Let l be 240/j*(-3)/4. Does l = 11? False Suppose -519 = -b + 383. Let u = 133382 + -529899/4. Let l = u - b. Which is greater: l or 5? l Let b = -10.2 + 10.75. Let i = -32.15 - -31. Let j = b + i. Is 4 not equal to j? True Let j(w) = w**3 + w + 0*w - 3*w**3. Let t be j(1). ...
{ "pile_set_name": "DM Mathematics" }
4*g**l - 5*g. (g - 10)**2/4 Let x(v) be the third derivative of -4*v**2 + 77/30*v**5 - 4/15*v**6 - 49/6*v**4 - 12 + 0*v**3 + 0*v + 1/105*v**7. Factor x(p). 2*p*(p - 7)**2*(p - 2) Let n(y) be the third derivative of -1/160*y**6 - 5*y**2 - 16 + 0*y + 9/2*y**3 + 5/8*y**4 - 17/80*y**5. Suppose n(t) = 0. What is t? -18, -1,...
{ "pile_set_name": "DM Mathematics" }
Let r(f) = -10*f**3 - 7*f - 2. Let a(c) = -26*c**3 - 22*c - 6. Give 3*a(o) - 8*r(o). 2*o**3 - 10*o - 2 Let s(a) = -153*a**2 + 16*a - 2. Let z(l) = -229*l**2 + 26*l - 3. Determine 8*s(k) - 5*z(k). -79*k**2 - 2*k - 1 Let f(p) = 7*p - 7. Let z(b) = 13*b - 8. Determine 6*f(r) - 5*z(r). -23*r - 2 Let q(v) = -7*v - 8. Let x(...
{ "pile_set_name": "DM Mathematics" }
085.5 Multiply 0.23 and -0.027. -0.00621 What is the product of -2 and -2125? 4250 Calculate 3.46*-0.025. -0.0865 Calculate -259572*-0.2. 51914.4 Product of 3 and 739299. 2217897 Product of -103.9 and -0.179. 18.5981 What is the product of 0.3 and -0.2304? -0.06912 What is 0.1189 times 27? 3.2103 What is -487421 times ...
{ "pile_set_name": "DM Mathematics" }
ulate prob of picking 2 t and 1 w when three letters picked without replacement from bwwbtwbtbw. 1/30 What is prob of picking 1 j, 2 m, and 1 t when four letters picked without replacement from mmmmjmjjtmjjmjjjtj? 21/170 Calculate prob of picking 2 g and 2 b when four letters picked without replacement from {u: 3, g: 1...
{ "pile_set_name": "DM Mathematics" }
:34 PM and 7:23 PM? 49 What is 492 minutes after 12:42 AM? 8:54 AM What is 488 minutes before 7:38 PM? 11:30 AM How many minutes are there between 12:12 AM and 11:34 AM? 682 How many minutes are there between 6:31 PM and 10:29 PM? 238 How many minutes are there between 7:58 AM and 6:28 PM? 630 How many minutes are ther...
{ "pile_set_name": "DM Mathematics" }
t is the highest common factor of 4 and 106? 2 Calculate the highest common divisor of 9 and 6849. 9 What is the highest common factor of 1274 and 26? 26 Calculate the highest common factor of 44 and 176. 44 Calculate the greatest common factor of 21920 and 10. 10 Calculate the greatest common divisor of 9620 and 104. ...
{ "pile_set_name": "DM Mathematics" }
our letters picked without replacement from fkknkflknqjl? 8/495 Four letters picked without replacement from {m: 10, i: 4}. Give prob of picking 1 i and 3 m. 480/1001 Two letters picked without replacement from {d: 1, a: 2, g: 1, y: 1}. Give prob of picking 1 g and 1 d. 1/10 What is prob of picking 2 q and 2 e when fou...
{ "pile_set_name": "DM Mathematics" }
the prime factors of c(t). 5, 7 Let x(m) = 9*m**3 - 28*m**2 - 69*m - 16. Let y(i) = 5*i**3 - 14*i**2 - 35*i - 9. Let k(g) = -4*x(g) + 7*y(g). List the prime factors of k(15). 241 Let g(n) = -6*n - 2*n - 1043 - 3*n + 1033. List the prime factors of g(-5). 3, 5 Let i be ((-54)/(-15))/(6/(-20)). Let x be 370/(-4) + i/8. L...
{ "pile_set_name": "DM Mathematics" }
0951, -5961895, -8942839, -11923783, -14904727? -2980944*v - 7 What is the p'th term of -12955, -25947, -38937, -51925, -64911, -77895? p**2 - 12995*p + 39 What is the y'th term of 29832, 59660, 89486, 119310? -y**2 + 29831*y + 2 What is the n'th term of -255, -474, -673, -858, -1035? -n**3 + 16*n**2 - 260*n - 10 What ...
{ "pile_set_name": "DM Mathematics" }
What is o? -1, 1/2 Solve -6/7 + 2/7*s**2 - 4/7*s = 0 for s. -1, 3 Let s(d) = d**3 - 11*d**2. Let r(q) = q + 11. Let j be r(0). Let g be s(j). Factor 4/3*m**3 - 2/3 + 2/3*m**4 - 4/3*m + g*m**2. 2*(m - 1)*(m + 1)**3/3 Let c(h) be the second derivative of 2*h**2 + 1/48*h**4 + 5*h + 1/3*h**3 + 0. Factor c(r). (r + 4)**2/4...
{ "pile_set_name": "DM Mathematics" }
, 63519, 63335? 63103 What comes next: -633, -1013, -1657, -2571, -3761? -5233 What is the next term in -66, -302, -706, -1278, -2018? -2926 What is next in 65332, 261328, 587988, 1045312, 1633300, 2351952? 3201268 What is next in -110, -411, -908, -1601, -2490, -3575, -4856? -6333 What is the next term in 1584, 1551, ...
{ "pile_set_name": "DM Mathematics" }
1. Let c be q(1). Let f(b) = 0*b + 6*b + 3 - c*b. Let s be f(3). Let h(a) = 4*a - 7. Let m(v) = v - 1. Calculate s*m(u) + h(u). -2*u - 1 Let o(f) = 205*f**3 + 17*f**2 + 17. Let n(l) = 65*l**3 + 6*l**2 - 3152 + 3158 + 5*l**3 - 2*l**3. What is 17*n(r) - 6*o(r)? -74*r**3 Let f(k) = -2*k**2 - 18*k + 56. Let p(m) = 5*m**2 +...
{ "pile_set_name": "DM Mathematics" }
st value in 24, -4, -492, 0.1, 0.4, 3/4? 0.1 Which is the biggest value? (a) -85 (b) 2/9 (c) 0.2 (d) 4 d What is the third biggest value in 3, 0.2, 3/8, 34, 0, 62? 3 What is the third smallest value in 5, -0.2, 2/7, -2/1589? 2/7 What is the biggest value in 110/437, -0.1, -4? 110/437 Which is the smallest value? (...
{ "pile_set_name": "DM Mathematics" }
nths? 10560 What is 432567.9km in micrometers? 432567900000000 Convert 0.331889ml to litres. 0.000331889 What is 90.44325g in kilograms? 0.09044325 What is 3590.026l in millilitres? 3590026 What is 15/4 of a week in minutes? 37800 What is 0.6947177 millennia in centuries? 6.947177 How many months are there in 26/5 of a...
{ "pile_set_name": "DM Mathematics" }
Are x and 1 unequal? True Let j(w) = -3*w + 10. Let c(d) = -8*d + 30. Let s(k) = 4*c(k) - 11*j(k). Let z be s(-9). Let g = -7 + 10. Which is smaller: g or z? z Let p be (-24)/(-4)*(-16)/6. Is p <= -15? True Let t(i) = 9*i**2 + 4*i + 2. Let q be t(-2). Let w = 27 - q. Are -4 and w non-equal? True Let t = 95 + -85.9. Let...
{ "pile_set_name": "DM Mathematics" }
z + 6716 + 1755 - 531 + 2445 = 0 for z. 31 Solve 467817 - 470337 = -36*n for n. 70 Solve -28079 = 121*g + 1138*g + 1292*g + 53553 for g. -32 Solve -1381*z - 24056 = -35104 for z. 8 Solve 59*g + 196008 = 3405*g + 347*g - 239766 for g. 118 Solve 0 = -8534*u + 365*u + 6819 + 58533 for u. 8 Solve 41*a = 12*a - 55*a - 2100 ...
{ "pile_set_name": "DM Mathematics" }
What is 13093126.21 rounded to the nearest one hundred thousand? 13100000 What is 0.0000268185127 rounded to 7 dps? 0.0000268 What is 0.0000210535659 rounded to 5 dps? 0.00002 Round 0.0212212129 to six decimal places. 0.021221 What is -124415439000 rounded to the nearest one million? -124415000000 What is 3.4591716 ro...
{ "pile_set_name": "DM Mathematics" }
replacement from ijyyhjyjjfyhff. 8/91 What is prob of sequence zaa when three letters picked without replacement from {z: 4, a: 6}? 1/6 Four letters picked without replacement from pphgdhigngh. Give prob of sequence hdgp. 1/440 Calculate prob of sequence bbb when three letters picked without replacement from bbgbbggbg...
{ "pile_set_name": "DM Mathematics" }
o the power of 1/2, to the nearest integer? 10147 What is the ninth root of 66910315 to the nearest integer? 7 What is 3798472548 to the power of 1/8, to the nearest integer? 16 What is 5294559986 to the power of 1/8, to the nearest integer? 16 What is the fourth root of 373195846 to the nearest integer? 139 What is th...
{ "pile_set_name": "DM Mathematics" }
(s) = -j(s) - 4*w(s). Let g be k(h). Is g at least -2? True Let t = -129/143 - -7/13. Let u be 0*(-2 - (-12)/8). Which is bigger: t or u? u Let v = 203/3 - 68. Is v != -22/3? True Let r = 3 - 3. Suppose 2*z + 0 + 2 = 0. Let v be (z - -2) + 9/(-15). Is r greater than or equal to v? False Suppose -r + 3*s = 2*s + 1, 3*s ...
{ "pile_set_name": "DM Mathematics" }
alse Is 192717 a multiple of 399? True Does 80 divide 740320? True Is 12 a factor of 1694712? True Is 8106428 a multiple of 22? True Is 5584800 a multiple of 28? False Is 27 a factor of 4087763? False Is 73 a factor of 12483? True Is 641 a factor of 910965? False Does 15 divide 488265? True Does 66 divide 6758400? True...
{ "pile_set_name": "DM Mathematics" }
ose -2 = l, -7*x - 4*l + 112 = -3*x. Let k = x - 11. What are the prime factors of k? 19 Suppose -5*a + 372 - 17 = 0. What are the prime factors of a? 71 Let a be 3/(0 + 3/30). Suppose -117 = -5*x + 3. Suppose 5*q + a = 5*b, -q + 10 = 4*b - x. List the prime factors of b. 2 List the prime factors of ((-12)/9*3)/((-6)/4...
{ "pile_set_name": "DM Mathematics" }
? 1250 How many months are there in 43/3 of a decade? 1720 Convert 40.08125ng to kilograms. 0.00000000004008125 How many meters are there in 6078.799 nanometers? 0.000006078799 Convert 0.6944289 months to decades. 0.0057869075 How many centuries are there in 545.885 millennia? 5458.85 What is 3/5 of a tonne in kilogram...
{ "pile_set_name": "DM Mathematics" }
rivative of y(q) wrt q? 3172*q**3 Suppose -2*x + 319 - 313 = 0. Let y(d) be the second derivative of 0*d**2 - 1/12*d**4 + 3/2*d**x - 4*d + 0. What is the second derivative of y(r) wrt r? -2 Let w(t) be the third derivative of 29*t**5/10 - 13*t**4/24 - 2*t**3/3 + 205*t**2. Find the second derivative of w(x) wrt x. 348 W...
{ "pile_set_name": "DM Mathematics" }
erivative of 4*i**7/21 - 46*i**6/15 - 66*i**5/5 - 55*i**4/3 - 28*i**3/3 + 659*i - 2. Solve h(z) = 0 for z. -1, -1/2, 0, 14 Suppose 0 = -8*g + 7*g - 11*g. Let i(k) be the second derivative of 0 + 8*k + g*k**2 - 1/60*k**4 + 1/15*k**3. Factor i(c). -c*(c - 2)/5 Let v(t) be the first derivative of 5*t**6/6 + 2*t**5 - 15*t*...
{ "pile_set_name": "DM Mathematics" }
mplify d**5/(d*d*d**(3/5)*d) assuming d is positive. d**(7/5) Simplify ((p**(-2))**14)**(-2/63) assuming p is positive. p**(8/9) Simplify (d/(d/(d**11/d))*d)/(d/(d**(6/11)/d)) assuming d is positive. d**(105/11) Simplify (r*r**0*r)**(-4)/(r/(r/((r**(-2/9)/r)/r)))**(-25/2) assuming r is positive. r**(-322/9) Simplify ((...
{ "pile_set_name": "DM Mathematics" }
the difference between -1.3 and 468.4? 469.7 What is -3 less than -405? -402 What is -0.02 minus 271? -271.02 Work out 464 + -4. 460 Add together 0.31 and -0.0454. 0.2646 2+-1050 -1048 What is the difference between 0.7 and 0.14? 0.56 Put together -0.3 and -0.094. -0.394 Calculate 31 - -2903. 2934 What is 146 plus -0.0...
{ "pile_set_name": "DM Mathematics" }
+ 8*c - 8*c)*(-2 + 2 + 2)*(-c - c - 2*c)*(88 - 47 - 54) in the form h*c**3 + t + n*c + l*c**2 and give h. -1872 Rearrange (280*d + 66*d - 44*d)*(6*d**2 - d**2 - d**2) to g*d + u*d**2 + j*d**3 + a and give j. 1208 Rearrange (-17*o - 35*o + 81*o)*(-2*o + 5*o - o) + (-1 - 3 + 2)*(3*o**2 - o**2 - o**2) to the form j*o**2 ...
{ "pile_set_name": "DM Mathematics" }
**2 Expand (y - 2*y + 2*y)*(2 - 1 + 6). 7*y Expand (-c**2 + c**2 - c**4)*(11 - 26*c - 11). 26*c**5 Expand 3*f**5 - 2*f - 4*f**5 + 4*f + (0*f**2 + 2*f**3 + 0*f**2)*(0*f**2 + 2*f**2 - 6*f**2) - 2*f**5 + 4*f**5 + 0*f**5. -7*f**5 + 2*f Expand (0 - 1 + 0)*(10*f**3 - 6*f**3 + f**3)*(-5 + 0 + 4). 5*f**3 Expand ((h - 2*h + 2*h...
{ "pile_set_name": "DM Mathematics" }
745. -35825.82 -7008*-11395 79856160 267 * -0.006231 -1.663677 Multiply 0.2 and 10591193. 2118238.6 Work out -10664 * 7.926. -84522.864 What is the product of -2 and -1239.671? 2479.342 Calculate 5013.06*-2039. -10221629.34 Multiply -3 and -167165.677. 501497.031 What is 160.9 times -0.612? -98.4708 -9 * 0.76606 -6.894...
{ "pile_set_name": "DM Mathematics" }
hat is the z'th term of -3936336, -7872734, -11809132, -15745530, -19681928, -23618326? -3936398*z + 62 What is the b'th term of -174578, -1396337, -4712542, -11170415, -21817178, -37700053, -59866262? -174537*b**3 - b**2 + 3*b - 43 What is the c'th term of 231557, 233682, 235807, 237932, 240057, 242182? 2125*c + 22943...
{ "pile_set_name": "DM Mathematics" }
286)/728. -12 What is the value of (-1 - 4) + -1 + (-12 - (-49 + 1))? 30 (-1)/5 + (((-930)/124)/(-15))/((-95)/(-18)) -2/19 (257850/27504)/(0 + (-9)/6) -25/4 (47 - (-3770)/(-52))*(0 + (-6)/27) 17/3 Evaluate (-1)/(-46) + 348955/31786. 11 What is the value of (-760942)/(-14690) - (-24)/(-5)? 47 (54/(-864))/(5/(-40))*11/((...
{ "pile_set_name": "DM Mathematics" }
-1, y in descending order. 3/2, y, -0.5, -1 Let u = -35.1 + 38.1. Put -0.4, u, 3/5, 4 in increasing order. -0.4, 3/5, u, 4 Let d = 0 - 0.4. Suppose 3*r - r - 5*c = 9, -4*r + 2*c + 10 = 0. Let t = 5.7 + -6. Put r, d, t in decreasing order. r, t, d Let u = 0.9 + 3.1. Let p = -4.1 + u. Sort 0, -0.3, p in decreasing order....
{ "pile_set_name": "DM Mathematics" }
igit of 8593471? 7 What is the hundreds digit of 18474087? 0 What is the hundreds digit of 390936? 9 What is the hundred thousands digit of 581104? 5 What is the ten thousands digit of 564274? 6 What is the thousands digit of 143630? 3 What is the units digit of 440627? 7 What is the thousands digit of 457442? 7 What i...
{ "pile_set_name": "DM Mathematics" }
Which is the closest to 4? (a) 6 (b) -2/5 (c) -1/4 a What is the closest to 0.2 in -1/5, -43, 1? -1/5 What is the closest to 5 in -4, -0.2, 4, -3? 4 Which is the closest to 2/7? (a) -2434 (b) -5/2 (c) -5 b Which is the nearest to -0.1? (a) -2/15 (b) -1 (c) 50 (d) 0.06 a Which is the closest to 0? (a) 349 (...
{ "pile_set_name": "DM Mathematics" }
7*d - 6 - 23. Let m be h(b). What is the greatest common divisor of m and 90? 18 Let i = 1436 - -7812. What is the highest common factor of i and 340? 68 Let d be (-1)/8 - 17/(-8). Suppose -7*c + 126 = d*c. Let v = 17 + c. Calculate the highest common divisor of v and 124. 31 Let n = -1191 + 348. Let u = 1490 + n. Let...
{ "pile_set_name": "DM Mathematics" }
What is the second derivative of 1056*a**3 + 110*a**2 - 461*a - 77? 6336*a + 220 Find the first derivative of 5392409*i*y**2 + 9*y**2 + 110253*y wrt i. 5392409*y**2 Differentiate 20733*o - 1778 wrt o. 20733 What is the third derivative of 2*a**3*s*t - a**3*s + 668*a**3*t + 3*a**3 + 2*a**2*s*t + 2*a**2*t - 2*a**2 - 10*a...
{ "pile_set_name": "DM Mathematics" }
est common factor of 28457 and 11427. 13 What is the greatest common divisor of 906613808 and 1424? 1424 What is the greatest common factor of 601546 and 169231? 739 Calculate the greatest common divisor of 42128 and 3393937. 2633 What is the greatest common factor of 34632 and 318792? 888 What is the greatest common d...
{ "pile_set_name": "DM Mathematics" }
w**3 - 49*w**2 + 2*w - 100. Determine c(49). -2 Let b(m) = 2*m - 3. Calculate b(2). 1 Let q(h) = h**2 + 8*h + 3. What is q(-6)? -9 Let u(o) = -2*o**3 + 2*o**2 - 2. Give u(-2). 22 Let b(u) = -u**3 + 7*u**2 - 4*u - 7. Determine b(6). 5 Let d(b) = 28*b + 171. Calculate d(-8). -53 Let w(b) = -b - 8. What is w(-5)? -3 Let d...
{ "pile_set_name": "DM Mathematics" }
2138? 12138 Calculate the lowest common multiple of 315 and 48699. 243495 Calculate the common denominator of 28/3 and -19/3735. 3735 What is the lowest common multiple of 14914 and 5? 74570 Calculate the least common multiple of 268608 and 268608. 268608 What is the common denominator of 19/110 and 115/6292? 31460 Wha...
{ "pile_set_name": "DM Mathematics" }
ond smallest value in 4252/49, 0.1, 0.12? 0.12 Which is the second smallest value? (a) 6/7 (b) 2 (c) -1/12 (d) -75/8 (e) -10 (f) 2/3 (g) -4 d Which is the smallest value? (a) 252 (b) -29/5 (c) -0.01512 b What is the second biggest value in 59/6, -2/21, 0.495? 0.495 Which is the biggest value? (a) 69 (b) 0 ...
{ "pile_set_name": "DM Mathematics" }
the closest to 3? (a) -1/14 (b) -0.319 (c) -0.04 (d) -1/8 (e) -5 (f) -3/8 c What is the nearest to 2 in 3, -2/9, -11, 139704? 3 What is the nearest to 1 in -1/8, 2.2043, -12? -1/8 What is the nearest to -6 in -0.01, 0, 0.11667? -0.01 Which is the nearest to -111? (a) 4 (b) 32/7 (c) -1/3 (d) -0.04 (e) -1/36 ...
{ "pile_set_name": "DM Mathematics" }
. Let n = -109 - -221. What is the greatest common divisor of d and n? 14 Let i = 15 + 3. Suppose 2 = p - 0. What is the highest common factor of p and i? 2 Suppose 0 = 6*q - 0*q - 6. Calculate the highest common divisor of q and 5. 1 Let v be 1230/9 - (-2)/(-3). Let i(q) = -13*q - 22. Let r be i(-3). Calculate the gre...
{ "pile_set_name": "DM Mathematics" }
t g be c(7). Suppose h = -g*h + 4. Suppose -273 = -5*l - 248. Is l < h? False Let y = -70 - -322. Is 252 < y? False Let p be 57/228 + (-46)/(-8) - 6. Is p less than -1/340? False Let q = 905 - 904. Is 2/1653 > q? False Suppose -22 - 38 = -12*v. Let w be (v + 12/(-3))/(-1). Is -1/70 != w? True Let u = -1 + 1. Suppose 0 ...
{ "pile_set_name": "DM Mathematics" }
the lowest common multiple of 12 and c? 48 Let d(s) = -2*s + 2. What is the least common multiple of d(-3) and 5 - (-39)/(-3) - -24? 16 Suppose 4*l = -5*o + 53, 2*o - l - 34 = -2*o. Let d(t) = t**2 - 9*t + 6. Calculate the lowest common multiple of d(o) and 21. 42 Let z(w) = -11*w + 105. Suppose g - 5*q = 36, -4*g = -3...
{ "pile_set_name": "DM Mathematics" }
v) - o(v). -v - 1 Let g(b) be the third derivative of b**4/12 - 5*b**3/3 - 49*b**2 - 2*b. Let w(y) = -y + 3. Give 3*g(c) + 10*w(c). -4*c Let v(y) = -y**2 - y + 1. Let s(a) = 4*a**2 + a - 24. Give s(x) + 2*v(x). 2*x**2 - x - 22 Let c(i) = i + 1. Let t(w) = -w - 5. Calculate -4*c(p) - t(p). -3*p + 1 Let n(o) = -3*o**3 - ...
{ "pile_set_name": "DM Mathematics" }
4.85. -5728.698 3.75411 - -0.44 4.19411 Put together 1334829 and 0.05. 1334829.05 Sum -465353 and -119936. -585289 Work out -5.4 + -1.64276. -7.04276 Work out 2157 - -34.14. 2191.14 -192150.314+3 -192147.314 What is 4402 + -63.39055? 4338.60945 What is -1.6467 minus -294? 292.3533 Add 24 and -0.08548948. 23.91451052 10...
{ "pile_set_name": "DM Mathematics" }
Let o = 903 + -6319/7. Let h = 5.9 - -0.1. Let g = -180 + 181. Which is the closest to 1? (a) o (b) h (c) g c Suppose -3*v + 5*p + 273 = 61, 0 = -2*v + p + 146. Suppose 3 = 75*z - v*z. What is the nearest to 24 in z, 4, 0.2? 4 Let n = 236/1995 + 2/133. Let q = -110/3 + 36. Let r = 2/3587 - -3581/10761. What is the n...
{ "pile_set_name": "DM Mathematics" }
et d(s) = -6*s - 8. Let z(u) = u. Let r(x) = -d(x) - 4*z(x). Suppose -4*t = 2*v + 10 + 12, -3*t - 18 = v. Let c be r(t). Which is smaller: -7 or c? -7 Let g(h) = 7*h - 96. Let w be g(16). Which is smaller: 17 or w? w Suppose 2*a - 3*f + 3 = 5*a, 5*f = 0. Let c = 112/3 - 37. Which is smaller: a or c? c Suppose -4*x = -2...
{ "pile_set_name": "DM Mathematics" }
44 Solve 853 = -173*v - 4*f, 4114 = -v - 0*f + f + 4106 for v. -5 Solve 68*l - a - a + 148 = 0, 178*l + 28 = 176*l + 4*a for l. -2 Solve -s + 9*w - 20 = 5*w, 4*s - 5*w + 3 + 33 = 0 for s. -4 Solve -5*a + 4*g + 46 = -48, 25*g + 2522 = -72*g for a. -2 Solve 16*q = 23*q + 35, -6*u + 2*u + 15*q - 19*q - 12 = 0 for u. 2 So...
{ "pile_set_name": "DM Mathematics" }
et g be ((-24)/(-15))/(-2 - (-60)/25). Suppose 3*p - 48 = -3*n, 19*p - 9 = 20*p - g*n. Solve -5*m + 16 = p for m. 1 Let z be (-358)/(-18) + (-5)/(-45). Let q = -60 - -78. Solve -q*h + z = -13*h for h. 4 Let d = -101 - -81. Let g be d*(-1 + 8/16). Solve -27 = g*t + 23 for t. -5 Let n be (2/3 + 14/(-42))/(15/2475). Solve...
{ "pile_set_name": "DM Mathematics" }
How many minutes are there between 5:12 PM and 10:53 PM? 341 How many minutes are there between 6:31 PM and 8:08 PM? 97 How many minutes are there between 12:34 PM and 2:17 PM? 103 How many minutes are there between 9:41 AM and 7:26 PM? 585 How many minutes are there between 6:59 PM and 3:12 AM? 493 How many minutes a...
{ "pile_set_name": "DM Mathematics" }
2 - -13? -23323108 In base 2, what is -1000 - -10001100111010000000010? 10001100111001111111010 In base 11, what is -206 + 617142? 616a37 In base 15, what is -1b06d - 21? -1b08e In base 2, what is -11010110101110 + 1010000? -11010101011110 In base 11, what is -53383a + 170? -53367a In base 15, what is -21 + -951be? -95...
{ "pile_set_name": "DM Mathematics" }
9 Three letters picked without replacement from jnjnyeyeyeejjnjnjny. What is prob of picking 2 n and 1 j? 20/323 What is prob of picking 2 l and 1 o when three letters picked without replacement from nnnnnnnllnnonpnvnnn? 1/969 Two letters picked without replacement from uvdooobuuoovoqqvob. Give prob of picking 1 d and ...
{ "pile_set_name": "DM Mathematics" }
nsssntntt. What is prob of sequence ts? 8/91 Four letters picked without replacement from ugnggugeeqenue. Give prob of sequence nenq. 1/3003 What is prob of sequence zzzf when four letters picked without replacement from {f: 4, n: 2, z: 4}? 2/105 What is prob of sequence crc when three letters picked without replacemen...
{ "pile_set_name": "DM Mathematics" }
+ 0*a**3 + 0*a**2. Let d(s) = -3*s. Determine n(d(g)). 9*g**2 Let p(c) = 12*c. Let f(h) = -2*h**2 + 1. Let a(n) be the second derivative of 11*n**4/12 - 5*n**2/2 + 2*n - 4. Let w(b) = a(b) + 5*f(b). Calculate w(p(t)). 144*t**2 Let j(b) = 43598039*b. Let r(t) = -4*t**2. What is r(j(k))? -7603156018582084*k**2 Let t(n) ...
{ "pile_set_name": "DM Mathematics" }
placement from {l: 3, o: 7, r: 6, n: 3}. What is prob of picking 2 r and 2 l? 15/1292 Three letters picked without replacement from fgsoeif. Give prob of picking 1 i, 1 e, and 1 f. 2/35 Calculate prob of picking 3 z when three letters picked without replacement from zzzgzuhgzttzogh. 4/91 What is prob of picking 1 e and...
{ "pile_set_name": "DM Mathematics" }
05835. -0.000402615 -34 * -175.031 5951.054 1323169 * -139 -183920491 What is 86 times -148709? -12788974 Product of -0.44 and -1900930. 836409.2 Multiply -61 and -562372. 34304692 What is the product of 73.1 and 104.53? 7641.143 0.063044766 times 1 0.063044766 Product of 0.42983 and -245. -105.30835 0.0298029 times -5...
{ "pile_set_name": "DM Mathematics" }
= a + -5. What is the smallest common multiple of o and s? 12 Suppose 2*k = -1 + 13. Calculate the lowest common multiple of k and 10. 30 Let y be (-122)/6 + 4/(-6). Let g be (-3)/2*(-412)/y. Let k = g - -31. What is the common denominator of -11/2 and k? 14 Let f = -8993/2256 + -46/141. Calculate the common denominat...
{ "pile_set_name": "DM Mathematics" }
*d, d - 4*j - 15 = r for d. -5 Suppose -2*g + 4 = 3*i, 4*i = -20*g + 15*g + 10. Solve 3*t - 14 = -2*w, 2*t = -w + 8 - i for t. 2 Suppose 2*x + 7 = 11. Solve -n = -3*w - 3, -5*w = -2*n - x*n + 12 for w. 0 Suppose k - 2*g + 0*g - 2 = 0, 0 = -3*k + 2*g + 2. Suppose 0 = 6*q - 18. Suppose -q*t - 12 = -4*t. Solve k = -3*l - ...
{ "pile_set_name": "DM Mathematics" }
= -32*h + 30*h. What is the tens digit of h? 0 Let s(h) = -17*h - 2. Suppose 18 = -13*l - 99. What is the tens digit of s(l)? 5 Let q(w) = 6 - 729*w + 22 - 7. Let i(s) = 73*s - 2. Let n(r) = 21*i(r) + 2*q(r). What is the units digit of n(1)? 5 Let x(g) = 22*g**2 + 10*g - 48. Let y be x(-8). Suppose -1274*o - 7812 = -y*...
{ "pile_set_name": "DM Mathematics" }