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39912 and 14. 2 Calculate the highest common factor of 8554 and 7238. 658 What is the highest common factor of 1912 and 62857? 239 What is the greatest common factor of 28 and 5159812? 28 Calculate the greatest common factor of 655 and 1055467. 131 What is the greatest common factor of 4165 and 9979? 17 What is the gre...
{ "pile_set_name": "DM Mathematics" }
hen 128219 is divided by 64105. 9 Calculate the remainder when 47180 is divided by 6737. 21 Calculate the remainder when 1551 is divided by 541. 469 Calculate the remainder when 5612 is divided by 706. 670 Calculate the remainder when 30402 is divided by 50. 2 What is the remainder when 386 is divided by 201? 185 Calcu...
{ "pile_set_name": "DM Mathematics" }
= -l**3 + 9*l**2 - 7*l - 12. Let o(x) = -4*q(x) + 3*v(x). Suppose 0 = -3*j + 6 + 9. Give o(j). 19 Let o(d) be the second derivative of -d**4/2 + d**3/6 + d**2/2 - 3*d - 7. What is o(-1)? -6 Let v(o) = -o**3 + 6*o**2 - 3*o + 9. Suppose 54 = 5*t + 4*t. Let d be 3 - (-4)/(8/t). Give v(d). -9 Let w = 210 - 210. Let o(z) =...
{ "pile_set_name": "DM Mathematics" }
-z*q - d*r for q. 1 Let t = -96 - -100. Solve 0 = -y - t*c - 21, 19 = -5*y + y - 3*c for y. -1 Let d(x) = x**2 + 2*x - 8. Let y be d(-4). Solve -2 = 2*l + n - y*n, -22 = 2*l - 4*n for l. -3 Suppose -4 = 2*t - 16. Let f be 1 + 3 + -1*t. Let n be (-21)/(12/(-4)) + f. Solve 4*d = -s - 1 + 2, -n = 3*s + 4*d for s. -3 Supp...
{ "pile_set_name": "DM Mathematics" }
d when three letters picked without replacement from {z: 3, d: 5, r: 3, j: 2}? 15/143 Calculate prob of picking 3 n and 1 l when four letters picked without replacement from nlnnnnnnnnlnnlllln. 22/51 Two letters picked without replacement from sfdsdffsssss. What is prob of picking 1 f and 1 s? 7/22 Calculate prob of pi...
{ "pile_set_name": "DM Mathematics" }
62*l**2 Differentiate 601*i**3*u + 19*i*u**3 + 3*u**3 + 795*u with respect to i. 1803*i**2*u + 19*u**3 What is the third derivative of -798539*b**4 + 17818*b**2 + 2*b? -19164936*b Find the third derivative of -325*c**3*f*u**2 + 57*c**3*u**3 - 5*c**2 - 11*c*f*u**3 - 437*c*f*u**2 wrt c. -1950*f*u**2 + 342*u**3 Find the f...
{ "pile_set_name": "DM Mathematics" }
5*n, 509 = r + 3*r + n. Does 16 divide r? True Is 51 a factor of -148*(-4 - (-2)/1)? False Let i = -159 - -382. Is 55 a factor of i? False Let q be (-6)/8 - (-3179)/68. Let k = 81 - q. Is k a multiple of 12? False Let a be -1*-15*(1 - 0). Suppose 10*y - a*y + 820 = 0. Suppose 0 = 3*w - w - 2*c - 64, 5*c = -4*w + y. Is...
{ "pile_set_name": "DM Mathematics" }
ime factors of u? 2, 3, 5 Suppose 10 = -2*t, -s + 0*t + 13 = -2*t. Suppose 8*l - s*l - 20 = 0. What are the prime factors of l? 2 Suppose -o + 2*b = 2 + 4, -18 = 3*o + 3*b. Let v be (4/o)/(4/(-48)). Suppose 0*h + v = h. What are the prime factors of h? 2 Let y = 23 - 12. What are the prime factors of y? 11 Suppose 3*n ...
{ "pile_set_name": "DM Mathematics" }
51 + 29315 for i. 31 Solve 2518 + 195 + 1738 = 80*a - 749 for a. 65 Solve 26428*k - 26273*k = -19530 for k. -126 Solve 445*l + 27751 - 3464 = -2413 for l. -60 Solve -52 = -2468*v + 2472*v for v. -13 Solve 2092*b - 4901 = -17453 for b. -6 Solve -176214*h = -176173*h + 2214 for h. -54 Solve 63*m - 782*m = 10*m - 44469 fo...
{ "pile_set_name": "DM Mathematics" }
divided by 104596. 4228 What is the remainder when 2906965 is divided by 726730? 45 Calculate the remainder when 14823298 is divided by 172. 166 What is the remainder when 26740222 is divided by 2304? 2302 What is the remainder when 453929 is divided by 249? 2 What is the remainder when 676182 is divided by 135209? 13...
{ "pile_set_name": "DM Mathematics" }
v) be the second derivative of 0 + v**4 + 0*v**3 + 0*v**2 - d*v**5 + 14*v. What is the third derivative of u(p) wrt p? -60 Suppose 5*d + 8 = 4*k, -2*k - 3*d - 14 = -18. What is the second derivative of 11*r - 21*r**2 - 2 + k - 2 - 32*r**2 wrt r? -106 Let l(w) = 21*w**5 + 42*w - 50*w + 2*w**4 + 23*w - w**5 - 4. Let d(j)...
{ "pile_set_name": "DM Mathematics" }
s**5/120 - s**4/8 + 8*s**2. Let r(p) be the second derivative of a(p). Differentiate r(t) wrt t. -15*t**2 Let c(i) = 8 - 4*i**4 - 5*i - i**2 - 4*i**5 - i**4 - 3. Let a(p) = p**4 + p**2 + p - 1. Let m(w) = -5*a(w) - c(w). What is the third derivative of m(s) wrt s? 240*s**2 Let f(v) be the second derivative of 0 + v**3 ...
{ "pile_set_name": "DM Mathematics" }
Let a be (3 + -18748 + -5)/((-1)/512). Round a to the nearest 1000000. 10000000 Let j = 0.138 - 0.225. Let t = j - -0.04. Round t to 2 dps. -0.05 Suppose 0*p + p = k - 471, -3*p = 2*k - 962. Let w = 874 + k. Let y = w + -669. What is y rounded to the nearest one hundred? 700 Let q be (104/(-6))/(8 - (-1540)/(-192)). Wh...
{ "pile_set_name": "DM Mathematics" }
- 2. 2*(r - 1)**3 Let f(v) be the second derivative of 17/18*v**3 + 1/36*v**4 - 48*v - 19/3*v**2 + 1. Factor f(q). (q - 2)*(q + 19)/3 Let c(f) be the second derivative of -f**6/20 + f**5/10 - f**4/24 + 135*f. Factor c(l). -l**2*(l - 1)*(3*l - 1)/2 Let d(z) be the third derivative of -z**6/240 + 9*z**5/40 + 5*z**4/8 - ...
{ "pile_set_name": "DM Mathematics" }
a*u(m) - 6*q(m). Differentiate r(t) wrt t. -5 Let d(u) be the second derivative of u**7/840 - u**5/20 - 5*u**4/12 + 3*u. Let l(i) be the third derivative of d(i). Find the first derivative of l(t) wrt t. 6*t Let b(z) = -27*z**4 + 5*z**3 + 5*z**2 - 45. Let p(h) = -14*h**4 + 3*h**3 + 3*h**2 - 22. Let o(t) = 3*b(t) - 5*p...
{ "pile_set_name": "DM Mathematics" }
6.7 decades in years? 475267 Convert 64.92639 days to hours. 1558.23336 How many centuries are there in 18/5 of a millennium? 36 What is 78.1854 kilograms in nanograms? 78185400000000 How many kilometers are there in 93800.9 nanometers? 0.0000000938009 What is 238971.6 millennia in months? 2867659200 What is seven halv...
{ "pile_set_name": "DM Mathematics" }
? 4/91 Calculate prob of picking 1 v, 1 u, and 1 b when three letters picked without replacement from {u: 5, b: 1, v: 4, q: 1, y: 1}. 1/11 Two letters picked without replacement from {x: 5, s: 2, l: 1, k: 1, u: 8}. Give prob of picking 1 k and 1 x. 5/136 What is prob of picking 1 q and 1 v when two letters picked witho...
{ "pile_set_name": "DM Mathematics" }
re the prime factors of 480081430? 2, 5, 48008143 List the prime factors of 33533117. 571, 58727 List the prime factors of 800684403. 3, 29, 37, 248737 List the prime factors of 60234262. 2, 11, 83, 32987 List the prime factors of 220493672. 2, 7, 17, 231611 What are the prime factors of 199162517? 29, 137, 50129 What ...
{ "pile_set_name": "DM Mathematics" }
. Give prob of sequence sxp. 25/612 What is prob of sequence fgf when three letters picked without replacement from mffgmfmm? 1/56 Four letters picked without replacement from uquvqqbbdqddrrb. What is prob of sequence uuub? 0 Calculate prob of sequence ppb when three letters picked without replacement from bpbppbbbbb. ...
{ "pile_set_name": "DM Mathematics" }
(z*z**14)/z))/z*z**(-13/2) assuming z is positive. z**(-41/2) Simplify (f/(f/f**(-2)))/((f/(f/(f/f**1))*f)/f)*(((f/(f/(f/(f*f*f**3))))/f)/f)/f**(7/4) assuming f is positive. f**(-39/4) Simplify (z*(z**(-1/3)*z)/z)**7*z**7/z**(-1/4) assuming z is positive. z**(143/12) Simplify (l**(2/5))**(-5/8)*(l*l**(-2/7))/(l/(l/(l/(...
{ "pile_set_name": "DM Mathematics" }
biggest value in 1.9598, 3, -0.3, -1/3, 1, -4, -2? -0.3 What is the second smallest value in -6, -1086, 175, 5, -27? -27 What is the second smallest value in 2/3, -66, 604, 4/13, 5? 4/13 What is the fifth biggest value in 1450, 2/7, -1.7, 4, -6/11, -3/4? -3/4 What is the third biggest value in -9, 275, 0.16, -0.3, 0.5...
{ "pile_set_name": "DM Mathematics" }
+ 5*f**2. Suppose 0 = 2*o - 5*o. Let w(p) = o*p + 0*p + 2*p**2. Give n(w(j)). -4*j**4 Let i(l) = -3*l. Let g(j) = 17*j - 30. Let w(z) = -35*z + 65. Let a(y) = -13*g(y) - 6*w(y). Give i(a(r)). 33*r Let w(s) = 2*s - 9. Let f(q) = 9 + 16 + 5*q**2 - 25 + 2*q**2. Calculate f(w(l)). 28*l**2 - 252*l + 567 Suppose 6 = s - 4*c ...
{ "pile_set_name": "DM Mathematics" }
*t - t**3 wrt r? 7908*t**3 + 14238*t**2 What is the third derivative of 4444*f**3*y - 51226*f**3 - 10757*f**2*y - 2*f**2 - 3253*y wrt f? 26664*y - 307356 Find the third derivative of -14*a**5 + 13*a**4 + 26013*a**3 + 3*a**2 + 629038. -840*a**2 + 312*a + 156078 What is the second derivative of 3463683*b**3 + b**2 + 5490...
{ "pile_set_name": "DM Mathematics" }
9 wrt a? 98826 Find the second derivative of 7430*i**3*o**2 + 2*i**3*o - 100*i**2 - 8*i*o - 2*o wrt o. 14860*i**3 What is the second derivative of 49017*f**4 - 52055*f? 588204*f**2 Differentiate -153*h**3 - 518*h - 79283. -459*h**2 - 518 Find the second derivative of -44033*d**2 - 1566*d. -88066 What is the derivative ...
{ "pile_set_name": "DM Mathematics" }
Four letters picked without replacement from sggsg. Give prob of picking 2 g and 2 s. 3/5 What is prob of picking 4 t when four letters picked without replacement from phtppvttthv? 1/330 Four letters picked without replacement from {j: 6, b: 4, k: 1}. What is prob of picking 2 j, 1 b, and 1 k? 2/11 Three letters picke...
{ "pile_set_name": "DM Mathematics" }
-5 Suppose -3 = -g - v + 2*v, 0 = -2*v + 2. Suppose -z + g*w + 36 = 4*z, -5*z + 24 = -w. Solve 0*x + 4*l = -z*x - 8, 4*x + 3*l + 4 = 0 for x. 2 Let f = -9 - -17. Solve -4*s - f = -5*o, -3*s = -5*o + 3 + 3 for s. -2 Let t = -21 + 23. Solve 2*v - 6 = -4*h - 3*v, -v + t = 0 for h. -1 Let n be (0 + 4/(-1))*-2. Suppose -2*v...
{ "pile_set_name": "DM Mathematics" }
2/3 Which is the second biggest value? (a) 3 (b) -3/5 (c) -1/18 (d) -0.5 c Which is the second smallest value? (a) 42 (b) 5 (c) -3 (d) 3 d What is the smallest value in 4/9, 26, 158? 4/9 Which is the biggest value? (a) 2 (b) 5 (c) 3 (d) 3/5 b What is the biggest value in 4, 2/9, -29, 0.1? 4 What is the sma...
{ "pile_set_name": "DM Mathematics" }
= c - 5.9. Let i = -0.04 + 4.04. What is the closest to q in i, -1/2, -5? -1/2 Let i = -158/3 + 53. Let m = 24 + -15. Let a = m + -9.3. What is the closest to 1/3 in 3, a, i? i Suppose -12 = -3*s, -j + 11 = 2*s + 8. Which is the nearest to 13? (a) j (b) 4 (c) -3/2 (d) 0 b Let v be 4*(-2)/24*2. Let l = 304 + -309. ...
{ "pile_set_name": "DM Mathematics" }
-7*f**2 + f - 2. Give 4*n(u) + 3*z(u). -4*u**2 - 2*u - 2 Let w(v) = 5*v - 9. Let m(p) = 33*p - 57. Let x(u) = -11*u + 19. Let a(b) = -3*m(b) - 8*x(b). Determine -6*a(i) - 13*w(i). i + 3 Let d(w) be the second derivative of -w**5/20 - 2*w**3/3 - w**2/2 - 8*w. Let u(r) = -r**3 - 5*r - 1. What is -5*d(q) + 4*u(q)? q**3 + ...
{ "pile_set_name": "DM Mathematics" }
Let a = -72 - -72. Let y(c) = 4*c + 30. Calculate the smallest common multiple of y(a) and 50. 150 Suppose -116*y - 254 = -27*y - 2390. Calculate the lowest common multiple of y and 3333. 26664 Let f = -1336537/40 - -33411. What is the common denominator of (23 + 817/(-172))*(63/(-30) - -2) and f? 40 Let f be ((-752)/...
{ "pile_set_name": "DM Mathematics" }
*m*m*m**(2/3)))**(-1/10) assuming m is positive. m**(9/10) Simplify (v**(21/4)/v**(-2/81))/(v*v**28)**(3/2) assuming v is positive. v**(-12385/324) Simplify ((p*p/((p/((p*p/(p*p**(-9/2)))/p))/p)*p*p*p)/((p**(-10)*p)/p)*p*p**9*p**(-2)/p)**(3/20) assuming p is positive. p**(159/40) Simplify ((((r/r**(-1/2))/r*r)**34*(r*r...
{ "pile_set_name": "DM Mathematics" }
is divided by 44? 40 What is the remainder when 1063 is divided by 11? 7 What is the remainder when 1381 is divided by 42? 37 What is the remainder when 1953 is divided by 487? 5 Calculate the remainder when 57 is divided by 2. 1 What is the remainder when 192 is divided by 115? 77 Calculate the remainder when 154 is ...
{ "pile_set_name": "DM Mathematics" }
)*(1 - 13 + 6)*(3*m - 1 + 1). -36*m Expand -2*h**4 - 6*h + 8*h - h + (-2*h + 2*h + 2*h**3)*(h + h + 0*h) - 2*h**4 + h**2 - h**2 - h**3 + h**3 - h**4. -h**4 + h Expand (-2 - 3 + 4 + d)*(-1 - 2*d + 1)*(-1 + 1 - 8*d). 16*d**3 - 16*d**2 Expand (v + 7*v - 2*v)*(12 - 8 - 12). -48*v Expand (-m - 2*m + 5*m)*(6 + 5 - 6). 10*m E...
{ "pile_set_name": "DM Mathematics" }
16? -38526 What is the second derivative of -218567*m**2*n + 3*m*n + 2437*m + 2*n wrt m? -437134*n What is the second derivative of -2*g**5 + 301276*g**4 + 3727021*g wrt g? -40*g**3 + 3615312*g**2 Differentiate -179876*n - 102243 with respect to n. -179876 Find the third derivative of 236393*p**3 + 1899*p**2 - 31*p wrt...
{ "pile_set_name": "DM Mathematics" }
rder. i, -4, 0 Let w be 1/3 - 116/(-12). Let a be (5/(w/(-12)))/1. Sort a, 0, -5 in decreasing order. 0, -5, a Let m = -7 - -5. Let l be ((3 + m)/1)/7. Put l, 0.5, -3/7 in decreasing order. 0.5, l, -3/7 Let r be -6*1/(9/(-6)). Suppose f + 10 = r. Let p be (-6)/(-9) + 16/f. Sort p, -1, 2 in decreasing order. 2, -1, p Le...
{ "pile_set_name": "DM Mathematics" }
vert 18.90581 decades to centuries. 1.890581 How many seconds are there in 0.9697306 weeks? 586493.06688 Convert 12892.95ng to milligrams. 0.01289295 How many nanoseconds are there in 52/5 of a microsecond? 10400 How many micrometers are there in 0.6809889 millimeters? 680.9889 How many nanometers are there in 2.328265...
{ "pile_set_name": "DM Mathematics" }
third derivative of -241528*a**6 - 1046*a**4 + 151629598*a**2. -28983360*a**3 - 25104*a Find the third derivative of -426*h**5 + 23486*h**4*m - 287543*h**2 + 128*m wrt h. -25560*h**2 + 563664*h*m Find the third derivative of -232983750*i**6 + 307322802*i**2. -27958050000*i**3 What is the second derivative of 6671967*b*...
{ "pile_set_name": "DM Mathematics" }
2263403 What is 3/10 of a litre in millilitres? 300 How many micrometers are there in one tenth of a millimeter? 100 How many months are there in one sixth of a millennium? 2000 How many milliseconds are there in 2/125 of a second? 16 Convert 2711.51ns to seconds. 0.00000271151 What is 96.2313t in kilograms? 96231.3 H...
{ "pile_set_name": "DM Mathematics" }
t(11)/25 Simplify ((1 + sqrt(176)*-5 + 4 + sqrt(176)*5 + sqrt(176))*3)**2. 360*sqrt(11) + 1809 Simplify -3*((sqrt(52) - -2*sqrt(52)*3)/((sqrt(4) + sqrt(144))*5))**2 + -4. -139/25 Simplify (sqrt(70)*4*1)/(sqrt(810)*3). 4*sqrt(7)/27 Simplify -3*4*(sqrt(3) - sqrt(3)*-1) + ((sqrt(72)/sqrt(6) + sqrt(12))*2)**2. -24*sqrt(3) ...
{ "pile_set_name": "DM Mathematics" }
gg. What is prob of sequence zugz? 2/495 Calculate prob of sequence pll when three letters picked without replacement from {h: 1, p: 7, v: 2, l: 4, t: 1}. 2/65 Calculate prob of sequence jaa when three letters picked without replacement from ljanjlalllnnjqlnl. 1/680 Four letters picked without replacement from {s: 1, w...
{ "pile_set_name": "DM Mathematics" }
= m + 16, -5*m + 16 = -3*p. Suppose z = 3*y - 0*y - 90, 0 = -m*y - z + 158. Suppose 2595 = y*o - 28*o. Is o composite? True Let x(z) = 2*z**3 + 28*z**2 + 30*z + 3. Let c be x(-15). Let s = 12968 + c. Is s composite? False Let y(m) = -35*m - 104. Let f be y(-3). Is (1*-6)/(f - (-3219)/(-3217)) a composite number? True ...
{ "pile_set_name": "DM Mathematics" }
to -679 in -2, -1088, -0.2? -1088 What is the nearest to 473892 in 3, -2, -3/10, -5? 3 Which is the nearest to -8/3? (a) 39/5 (b) 0.07 (c) 0.08733 b Which is the closest to 1/3342? (a) 3/8 (b) 8 (c) -27.8 a What is the nearest to -1 in -3.1, 3, -3/7, -0.1, 21/38? -3/7 What is the closest to 601.1 in -4, -3/4, 5?...
{ "pile_set_name": "DM Mathematics" }
ase 12, what is b3b16a - 67? b3b103 In base 7, what is 4252141 + 155? 4252326 In base 14, what is a7b - -6908? 7585 In base 2, what is 11010011100111111011 - -10110110? 11010011101010110001 In base 12, what is 206a0 + 3b2? 20a92 In base 11, what is -166 - 3788? -3943 In base 11, what is -50804aa + -7? -5080506 In base ...
{ "pile_set_name": "DM Mathematics" }
termine k(0). 14 Suppose 11*f + f = 8*f. Let r(x) be the second derivative of x**5/20 + x**4/12 - x**3/3 - 13*x**2/2 + 28*x - 37. Determine r(f). -13 Suppose -49*f - 49*f = -686. Let u(k) = k**3 - 6*k**2 - 8*k + 11. Calculate u(f). 4 Let g(j) = -101*j + 5. Suppose 915*i - 12 = 927*i. Calculate g(i). 106 Let t(d) = -d**...
{ "pile_set_name": "DM Mathematics" }
? False Let h = 78252 + -78256. Suppose 0 = m + 2 - 0. Let n be 1 + 6/(-2) - m. Is h greater than n? False Let p be (-1062)/(-3540)*((-7)/(-3) + -1). Is p at least as big as -1/690? True Suppose 3*f + 140 = -160. Let n = f + 109. Suppose n*x = 2*z + 7*x + 200, -z - 3*x = 96. Is -99 bigger than z? False Suppose 0 = -2*j...
{ "pile_set_name": "DM Mathematics" }
2:41 AM What is 572 minutes after 2:11 AM? 11:43 AM What is 315 minutes before 11:25 PM? 6:10 PM What is 203 minutes before 7:04 AM? 3:41 AM How many minutes are there between 1:47 AM and 4:32 AM? 165 How many minutes are there between 3:13 AM and 1:10 PM? 597 How many minutes are there between 5:02 AM and 7:49 AM? 167...
{ "pile_set_name": "DM Mathematics" }
- 3*h**3 - 1219416 + 3658239 + h**3 + 3*h**3 - 1219413. 2*h**3 Collect the terms in -q**2 - 278737*q + 2*q**2 + 139361*q + 139376*q - 7*q**2. -6*q**2 Collect the terms in 21*b - 166*b + 16*b + 29*b + 74*b. -26*b Collect the terms in -373*z + 1930 + 1921 - 388*z - 3851. -761*z Collect the terms in 1 + 2 - 1077*v**2 - 3 ...
{ "pile_set_name": "DM Mathematics" }
)/i**(-3/8))**29 assuming i is positive. i**(-609/8) Simplify ((y*(y**(-1/3)/y*y)/y)**(-2))**3 assuming y is positive. y**2 Simplify (i*(i/(i/((i/(i/i**(3/5)))/i)))/i)/i*(i/(i/i**6))/i*i**5/i**(-2/17) assuming i is positive. i**(741/85) Simplify (p**(-1))**26/(p**2)**(-3/7) assuming p is positive. p**(-176/7) Simplify ...
{ "pile_set_name": "DM Mathematics" }
by 45078. 8 What is the remainder when 1509993 is divided by 11? 1 Calculate the remainder when 11466722 is divided by 532. 526 Calculate the remainder when 334366 is divided by 110404. 3154 What is the remainder when 718875 is divided by 599? 75 What is the remainder when 452522 is divided by 149? 9 What is the remain...
{ "pile_set_name": "DM Mathematics" }
at is c*f(s) - 4*p(s)? -2*s Let l(y) = -y - 1. Let r(o) be the second derivative of -3*o**5/20 + 5*o**3/2 + 15*o**2/2 + 115*o. What is 15*l(d) + r(d)? -3*d**3 Let x(l) = -l**3. Let z(h) = -10*h**3 - 9*h + 2. Give 3*x(r) + z(r). -13*r**3 - 9*r + 2 Let o(x) = 4*x**2 - 2*x - 3. Let c = -6 - 0. Let i(d) be the first deriva...
{ "pile_set_name": "DM Mathematics" }
16 Calculate the greatest common divisor of 96 and 20538546. 6 Calculate the greatest common divisor of 89864697 and 351. 39 What is the highest common factor of 271812708 and 20235? 4047 Calculate the greatest common factor of 923057 and 1255710. 2203 What is the greatest common factor of 51231292 and 762? 254 What is...
{ "pile_set_name": "DM Mathematics" }
00 How many seconds are there in 41/2 of a hour? 73800 How many millimeters are there in seven halves of a centimeter? 35 Convert 0.236097g to milligrams. 236.097 Convert 165819.6 days to nanoseconds. 14326813440000000000 How many months are there in five sixths of a decade? 100 Convert 50.66953 decades to months. 6080...
{ "pile_set_name": "DM Mathematics" }
earest to d? (a) x (b) -4 (c) -2 a Let x = -0.088 + -0.012. Which is the closest to x? (a) 1/2 (b) 2 (c) 4 a Let z = 1 + 1. Let o be (-1)/z*(-6 + 4). Let x = 7.7 + -8. What is the closest to o in -0.2, x, 4? -0.2 Let g(n) = -n**3 + n**2 - n - 122. Let y be g(0). Let f = -612/5 - y. Suppose 6*k + 20 = k. Which is ...
{ "pile_set_name": "DM Mathematics" }
). Is j at least 213? True Suppose -51*l = -36*l - 60. Suppose 3*z - l*t + 8 = -4, -3 = -z - t. Which is greater: z or 3/11? 3/11 Suppose 3 = g + 2*p, 0*g = -4*g + 4*p. Let d = 133 - -14. Suppose -7*u + 0*u + d = 0. Are u and g non-equal? True Let z(y) = -y**3 - 11*y**2 + 18*y + 103. Let f be z(-4). Is f bigger than -1...
{ "pile_set_name": "DM Mathematics" }
is the common denominator of 25/2529 and 56/107061? 321183 Calculate the lowest common multiple of 3230 and 11305. 22610 What is the smallest common multiple of 152928 and 66? 1682208 What is the smallest common multiple of 7864 and 45218? 180872 What is the common denominator of 3/68 and 83/7108? 120836 Find the commo...
{ "pile_set_name": "DM Mathematics" }
92 Simplify -4*((sqrt(80) + -4 - sqrt(80))**2 + 1 + (sqrt(45)/sqrt(9))**2). -88 Simplify sqrt(1872) + -6*(sqrt(1872) + -1) + -1*sqrt(1872) + -4 + -1. -72*sqrt(13) + 1 Simplify 4 + (sqrt(567) + sqrt(567) + sqrt(567) + -1 + 1 + sqrt(567) + 2)**2 + -1. 144*sqrt(7) + 9079 Simplify 2*(0 + ((-1*sqrt(66))/sqrt(6) + sqrt(11) +...
{ "pile_set_name": "DM Mathematics" }
n*p(y) + 4*d(y)? -2*y Let f(n) = -23*n + 92. Let o(r) = 52*r - 184. Calculate -9*f(s) - 4*o(s). -s - 92 Let j(r) = r**3 - r**2 + 2*r + 1. Let l(w) = 3*w**3 - 5*w**2 - 10*w + 4. Give 5*j(a) - l(a). 2*a**3 + 20*a + 1 Let t(g) = g - 6. Suppose 2*z + 3*z = -15. Let y(h) = -7 + 14 + 0 - 6 + 0. Calculate z*y(r) - t(r). -r + ...
{ "pile_set_name": "DM Mathematics" }
Let z be j(-6). Suppose 2*w - 7 = z. Is g(w) a composite number? True Suppose -5*f = -4*f + 1. Let g = f + 4. Suppose 2*d - g*d = -23. Is d prime? True Let q be (-1 - -3 - 1) + 31. Let t = -43 + 48. Suppose 0 = -g - 4*l + q - t, 118 = 5*g + 3*l. Is g a prime number? True Suppose -2*o - o + 36 = 0. Suppose -5*c = -c - o...
{ "pile_set_name": "DM Mathematics" }
en 1527536 is divided by 33943? 101 Calculate the remainder when 86237 is divided by 28732. 41 What is the remainder when 73724 is divided by 7451? 6665 What is the remainder when 73037 is divided by 35635? 1767 What is the remainder when 2864972 is divided by 136416? 236 What is the remainder when 31763242 is divided ...
{ "pile_set_name": "DM Mathematics" }
10 - j. What is the tens digit of b? 3 Let m = -2 + 4. Suppose 5*j + 7*n = m*n + 10, -4*j = n - 8. Suppose 4*p = 5*c + 38, 0*c - 24 = -4*p - j*c. What is the units digit of p? 7 Let i = 19 - 7. What is the tens digit of 1/1 - i*-1? 1 Suppose 0 = 14*m - 9*m - 275. What is the units digit of m? 5 Suppose 67 = 3*u + 319. ...
{ "pile_set_name": "DM Mathematics" }
5*n**2 + n. Let t(o) = 2*h(o) - 5*x(o). Determine t(-2). -8 Let f(t) be the first derivative of t**6/180 + t**5/20 + 5*t**4/24 - t**3 - 4. Let g(h) be the third derivative of f(h). Determine g(-4). 13 Let t(l) = 2*l - 1. Let m be t(3). Suppose 0 - m = -5*j. Let d(o) = 4*o - 5*o - 4*o**2 + 453 - 453. Give d(j). -5 Let n...
{ "pile_set_name": "DM Mathematics" }
57, -163, -267, -475, -793, -1227, -1783? -r**3 - 43*r**2 + 130*r - 243 What is the k'th term of -410715, -410713, -410711, -410709, -410707? 2*k - 410717 What is the u'th term of -3702, -3747, -3792? -45*u - 3657 What is the m'th term of 363, 443, 547, 681, 851, 1063, 1323, 1637? m**3 + 6*m**2 + 55*m + 301 What is the...
{ "pile_set_name": "DM Mathematics" }
e of v(n) wrt n. -16*n**3 Let w(q) = -9*q**2 + 28*q - 3. Let x(o) = 8*o**2 - 29*o + 2. Let m(d) = -2*w(d) - 3*x(d). What is the second derivative of m(c) wrt c? -12 Suppose -4*q = -4*u - 28, -4*q + 5*u - 9 = -35. Differentiate -5*a**2 + 5 + q*a**2 + 5 wrt a. 8*a Find the third derivative of -15*x**2 + 3*x**2 + 180*x**4...
{ "pile_set_name": "DM Mathematics" }
319, 9297, 20929, 37215, 58155, 83749, 113997? 148899 What is the next term in 3783, 3850, 4023, 4356, 4903, 5718, 6855, 8368? 10311 What is next in 4339, 17383, 39153, 69673, 108967, 157059, 213973? 279733 What comes next: -183, -367, -547, -717, -871? -1003 What is next in -600, -1331, -2064, -2799, -3536, -4275? -50...
{ "pile_set_name": "DM Mathematics" }
(m) = -4*i(m) - 7*y(m). What is x(z(a))? -6*a + 3 Suppose 0 = -l - 7*l + 8. Let v(t) = -t - 1. Let a(y) = 3*y**2 - 3*y - 3. Let x(g) = l*a(g) - 3*v(g). Let o(b) = -33*b. Determine o(x(n)). -99*n**2 Let l(i) = 3*i**2. Let y(m) be the third derivative of -m**5/30 + m**3/3 + 15*m**2. Let c(v) be the first derivative of y(...
{ "pile_set_name": "DM Mathematics" }
et h(a) = -4*a - 4. Let y(g) = -4*g**2 - g + 1. Let c = -44 - -34. Let l be ((-4)/c)/(24/60). Let i be y(l). Determine h(i). 12 Let u be 2*(-1 + (-45)/(-6)). Let n = 20 - u. Let s(g) = 1 - g - 2*g - n*g**2 + 4*g. Determine s(-1). -7 Let a(l) be the first derivative of l**3/3 - 4*l**2 - 6*l + 26. Calculate a(9). 3 Let o...
{ "pile_set_name": "DM Mathematics" }
5*y**2 + (-y - 2*y + 2*y)*(-3 - 2*y + 3) - y**2 + 6*y**2 + 0*y**2 in the form w*y + h*y**2 + b and give h. 8 Rearrange 17*b**3 - 9*b**2 - 37*b**3 + 17*b**3 to y + i*b**3 + s*b + r*b**2 and give i. -3 Express (-t + 5 - 5)*(t + 0*t + 0*t) + (t + 0*t + 2*t)*(-t + t - t) in the form c*t + x*t**2 + p and give p. 0 Express ...
{ "pile_set_name": "DM Mathematics" }
148 = -6*y for y. -11 Solve 46 = l + 52*p - 47*p, -3*l + p + 74 = 0 for l. 26 Solve -1 = -3*k + 7*j, 5*k + 1726*j + 9 = 1727*j for k. -2 Solve 2*j - 5*n - 78 = -51, j - 31 = 5*n for j. -4 Solve 0 = -4*q + 3*c, 3*c - 7 = -6*q + 23 for q. 3 Solve 2*p - 3*j + 18 = 0, 0 = 3*p + 2*j - 5 - 20 for p. 3 Solve -1814 + 1769 = 5...
{ "pile_set_name": "DM Mathematics" }
? True Is 142721851 composite? True Is 8282497 a composite number? False Is 1482121 composite? False Is 3708421 a composite number? False Is 127413446 composite? True Is 23213159 prime? False Is 3881509 a prime number? True Is 11016767 a composite number? True Is 82740107 prime? False Is 49944061 a composite number? Tr...
{ "pile_set_name": "DM Mathematics" }
= -5*k, 0*t + 2*t + 37 = 5*k. Let h(v) = -v**2 - 5*v. Let l be h(-4). Solve 5*z - 17 = -2*p, l*z + 3*p - k = -1 for z. 5 Let r be (0 + 4)*(-15)/(-12). Suppose 2*q + 2*t = r*t + 11, q + 3*t - 1 = 0. Solve q*a + 6 = 5*h, -a - a + 2*h - 4 = 0 for a. -4 Let q(s) = 1 - s + 4 + 0*s. Let r be q(0). Solve -3*w - r*x = -4*w - ...
{ "pile_set_name": "DM Mathematics" }
+ 1)/5 Factor 2*p**4 + 276*p**3 + 270*p**2 - 548*p. 2*p*(p - 1)*(p + 2)*(p + 137) Factor 4*w**3/3 + 5*w**2/3 - 68*w/3 + 28. (w - 2)**2*(4*w + 21)/3 Factor -3*k**4 + 24*k**3 + 27*k**2. -3*k**2*(k - 9)*(k + 1) Determine k so that 4*k**2 + 8*k = 0. -2, 0 Determine z so that 3*z**3 - 6*z**2 - 15*z + 18 = 0. -2, 1, 3 Find ...
{ "pile_set_name": "DM Mathematics" }
(a) 281 (b) 4/35 (c) 0 (d) -0.4 c What is the third biggest value in -21, -2/25, 3/8, -2, 6? -2/25 Which is the second smallest value? (a) -91 (b) 7 (c) 197 (d) 0.3 d Which is the fourth smallest value? (a) -2/1023 (b) -3 (c) -49 (d) 0 d Which is the biggest value? (a) 2/153 (b) 8 (c) -4/11 (d) -3 (e) ...
{ "pile_set_name": "DM Mathematics" }
7.8 - -23607 20659.2 Subtract 20071180613 from -4. -20071180617 What is the distance between -0.2 and 5145308? 5145308.2 Calculate 51.5 + 16770467. 16770518.5 3564 - 2438056 -2434492 Sum -714454765 and -0.1. -714454765.1 Add -6 and -7371.08193. -7377.08193 Add together -1650.552 and -0.574. -1651.126 Work out 0.69 - -1...
{ "pile_set_name": "DM Mathematics" }
ich is smaller: 0 or 2/3673? 0 Is -1 less than -1/198? True Do -1778 and -2/5 have the same value? False Which is bigger: -1 or 1/2993? 1/2993 Is -11 bigger than -12? True Which is smaller: 15/7 or 0.21? 0.21 Is -1 smaller than 329? True Which is smaller: -0.1 or -5? -5 Do -0.2 and -0.02742 have different values? True ...
{ "pile_set_name": "DM Mathematics" }
(-42)/294)/((-1)/7). 1 What is 3/7*7/(42/(-8))? -4/7 Calculate (((-8)/(-14))/2)/(63/(-49)). -2/9 Calculate (4/(-33))/((-1)/9*-6). -2/11 Evaluate (18/(-2))/3*1*-1. 3 What is ((-8)/(-52))/(-2*(-4)/52)? 1 Evaluate (-12)/(-4)*(-44)/33. -4 -5*(-4)/((-24)/1) -5/6 What is the value of (-140)/(-168)*3/(-20)? -1/8 -3*1*(-72)/54...
{ "pile_set_name": "DM Mathematics" }
16 (c) 15 (d) 2 b Which is the nearest to 55? (a) -2 (b) -3/5 (c) 3/32 (d) -31 c What is the closest to -9 in 0.24, -5, 0.06, 2/11? -5 What is the nearest to 2 in -5, 0.7, 0.0317? 0.7 Which is the closest to -2.87? (a) -5/4 (b) -1/2 (c) -1 (d) -0.7 a Which is the closest to 0.27? (a) 12 (b) 0.11 (c) -0.5 ...
{ "pile_set_name": "DM Mathematics" }
acement from {p: 2, u: 1, i: 1}. Give prob of picking 1 p and 1 i. 1/3 What is prob of picking 2 a and 1 s when three letters picked without replacement from aassaasaassssass? 27/80 Four letters picked without replacement from {y: 4, l: 2, d: 4, t: 1}. Give prob of picking 4 y. 1/330 Two letters picked without replacem...
{ "pile_set_name": "DM Mathematics" }
-4 Solve -8*b = -5*b - 12 for b. 4 Solve 13 = 5*v - 7 for v. 4 Solve -18*w + 96 = 204 for w. -6 Solve -42 = 4*q - 14 for q. -7 Solve -127*m + 106*m + 126 = 0 for m. 6 Solve 1 + 29 = -6*l for l. -5 Solve 25*w = -5*w - 60 for w. -2 Solve -76 + 27 = 7*v for v. -7 Solve 25 = -195*s + 220*s for s. 1 Solve 0 = 14*g + 273 - 3...
{ "pile_set_name": "DM Mathematics" }
a multiple of 55? True Does 54 divide 456348? False Does 15 divide 3694800? True Is 114455 a multiple of 5? True Is 92157 a multiple of 11? False Is 39 a factor of 557504? False Is 7 a factor of 1852240? False Is 167 a factor of 3291236? True Is 41691 a multiple of 3? True Does 15 divide 2314720? False Is 2583325 a mu...
{ "pile_set_name": "DM Mathematics" }
)**2 + sqrt(180) + -3 + -3 + 3) + -2. -13503 - 378*sqrt(5) Simplify ((-1*sqrt(180)*1)/(sqrt(24)/(-2*sqrt(2)) + sqrt(12)))/(sqrt(720) + (sqrt(720) - -5*sqrt(720) - sqrt(720)) + sqrt(5) + sqrt(5) - -3*sqrt(35)/sqrt(7)). -2*sqrt(3)/77 Simplify ((3*(4*(sqrt(65)*-3 + sqrt(65)) + sqrt(65)))/(sqrt(720) - (sqrt(720) - (sqrt(72...
{ "pile_set_name": "DM Mathematics" }
ne q(6). 1 Let u(g) = 2*g**3 + 87*g**2 + 351*g - 38. Give u(-39). -38 Let c(h) = -13*h**2 - 1910*h + 177. Determine c(-147). 30 Let z(s) = -s**2 - 6*s + 28. What is z(4)? -12 Let g(d) = -23*d**2 + 117*d - 4. What is g(5)? 6 Let w(d) = d**3 + 6*d**2 - 2*d - 26. Determine w(-5). 9 Let q(j) = -6*j**3 - 13*j**2 + 4. Calcul...
{ "pile_set_name": "DM Mathematics" }
minutes are there between 9:46 AM and 5:24 PM? 458 How many minutes are there between 2:45 PM and 11:09 PM? 504 How many minutes are there between 7:27 AM and 8:44 AM? 77 What is 217 minutes before 3:08 PM? 11:31 AM What is 50 minutes before 9:29 PM? 8:39 PM What is 401 minutes after 11:06 PM? 5:47 AM What is 322 minut...
{ "pile_set_name": "DM Mathematics" }
qrt(20)/sqrt(2)) - (sqrt(19) - (sqrt(171) + -5*sqrt(171) + sqrt(171) + sqrt(171))**2). 684 Simplify sqrt(567)*2 + sqrt(63) + -1 + -1. -2 + 21*sqrt(7) Simplify (sqrt(432) - (-2*sqrt(432) - sqrt(432)))**2*2*2. 27648 Simplify (sqrt(6)/(-2*sqrt(50)) + 0 + sqrt(147) + 1)**2. 69*sqrt(3)/5 + 14383/100 Simplify (0 + sqrt(117) ...
{ "pile_set_name": "DM Mathematics" }
86 How many minutes are there between 6:13 AM and 8:41 AM? 148 What is 207 minutes after 7:56 AM? 11:23 AM What is 246 minutes before 7:03 AM? 2:57 AM What is 646 minutes before 10:48 AM? 12:02 AM What is 48 minutes before 3:28 AM? 2:40 AM How many minutes are there between 12:25 AM and 5:20 AM? 295 What is 492 minutes...
{ "pile_set_name": "DM Mathematics" }
)*5/(v/9). Which is the third biggest value? (a) -5 (b) -12 (c) m b Let g = -0.9 + 5.9. Let c = 594.4 + -594. What is the third biggest value in c, -0.2, g? -0.2 Let t = -19.987 + -0.013. Let r = t - -19.7. Suppose 2 = g - 0. Which is the second smallest value? (a) r (b) 0.3 (c) g b Let h = -5 + 1. Let l = -2.4 +...
{ "pile_set_name": "DM Mathematics" }
enominator of -76/9 and f. 9 Let r(t) = t**2 - t - 2. Let d(v) = v**2 - 12*v + 36. Let w be d(8). What is the lowest common multiple of 8 and r(w)? 40 Let y = 501 - 2061/4. Calculate the common denominator of 101/28 and y. 28 Let l = 1504 + -1255. What is the lowest common multiple of l and 5? 1245 Calculate the common...
{ "pile_set_name": "DM Mathematics" }
hat are the prime factors of 509267? 11, 67, 691 List the prime factors of 864776. 2, 11, 31, 317 What are the prime factors of 2183381? 29, 75289 What are the prime factors of 19266861? 3, 101, 63587 List the prime factors of 561403. 269, 2087 What are the prime factors of 1518027? 3, 7, 72287 List the prime factors o...
{ "pile_set_name": "DM Mathematics" }
w(n)). 9*n - 18 Let d(b) = -11*b. Let n(c) = 172*c**2 + 2. Give d(n(f)). -1892*f**2 - 22 Let s(k) = 0 + 0 + 0 + 2*k. Let v(f) = 3*f**2 + f. Calculate s(v(c)). 6*c**2 + 2*c Let s(w) = 2*w. Let i(h) = -h**2 + 4*h - 1. Let t be i(3). Let a(c) = t*c - c + 0*c. Determine s(a(g)). 2*g Let j(b) = b**2. Let f = 66 + -61. Let r...
{ "pile_set_name": "DM Mathematics" }
ppose 0 = -2*s + 5*s - 2478. Let g = -555 + s. Suppose g = 5*t - z - 17, -t + z + 60 = 0. List the prime factors of t. 3, 19 Suppose 8*a + 64 = 10*a. Suppose 2*r + a = 6*r. Let n = 1 + r. What are the prime factors of n? 3 Suppose 10*b - 11121 = 10219. List the prime factors of b. 2, 11, 97 Let z(o) = -3*o + 6. Let j =...
{ "pile_set_name": "DM Mathematics" }
*4 + 2053*w**3/5 - 6131*w**2/5 - 6214*w - 4600 = 0. -92, -25, -2, -1, 5 Determine q so that -2*q**2/13 - 1109244*q/13 - 153802781442/13 = 0. -277311 Let 39*w**3 - 2703*w**2 + 17010*w = 0. What is w? 0, 7, 810/13 Determine s, given that -10*s**5/7 - 748*s**4/7 + 922*s**3/7 + 748*s**2/7 - 912*s/7 = 0. -76, -1, 0, 1, 6/5 ...
{ "pile_set_name": "DM Mathematics" }
ow many grams are there in five quarters of a kilogram? 1250 How many centuries are there in 81.48237 years? 0.8148237 Convert 0.8539515 decades to years. 8.539515 How many millilitres are there in 8.241163l? 8241.163 What is 19/4 of a litre in millilitres? 4750 How many milliseconds are there in 98987.19 nanoseconds? ...
{ "pile_set_name": "DM Mathematics" }
ive r(1). 14 Let p(c) be the second derivative of 10*c + 3/2*c**2 + 0 - 1/6*c**3. Calculate p(4). -1 Let a(y) be the third derivative of -y**4/12 + 4*y**3/3 + 3*y**2 - 6. What is a(6)? -4 Let n be -6*((-28)/(-21) - 2). Let r(y) = -y**3 + 5*y**2 - 3*y. Give r(n). 4 Let a be 1/3 + (-4)/(-6). Let t be 7 + a/(1/(-2)). Let ...
{ "pile_set_name": "DM Mathematics" }
- 2. Let q be n(-4). Suppose -l = -q*l + 10. Suppose -5*a + 3*y + 97 = 0, 4*a + l*y - 19 = 63. What is the smallest common multiple of 10 and a? 20 Calculate the smallest common multiple of 3 and ((-9)/4)/((-27)/(-36) + -1). 9 Let p = 15/23 + 55/92. Calculate the common denominator of p and -121/10. 20 Let s = -22228/...
{ "pile_set_name": "DM Mathematics" }
*(-4 + 1 + 4)*(4 - 3 + 0). 12*c Expand 4*d**2 + 2*d**2 - 4*d**2 + (-4*d + 0*d + 2*d)*(5*d - d - 5*d). 4*d**2 Expand (-15*x + 0*x + 23*x)*(-x**3 - 2*x**3 - 4*x**3). -56*x**4 Expand (2*p**2 - p**2 + p**2)*(2*p**3 - 3*p**3 - 2*p**3) + 25*p**3 - 25*p**3 - 11*p**5. -17*p**5 Expand (-o + 0*o - o)*(-2*o**2 + 4*o**2 - o**2) - ...
{ "pile_set_name": "DM Mathematics" }
1710, 3771, 7132, 12117, 19050, 28255? 40056 What is the next term in -1555, -9667, -23211, -42181, -66571? -96375 What is the next term in -209, -474, -895, -1442, -2085, -2794? -3539 What is the next term in 11455458, 22910912, 34366366, 45821820? 57277274 What is next in -273224, -547200, -821176, -1095152, -1369128...
{ "pile_set_name": "DM Mathematics" }
ur letters picked without replacement from {c: 2, y: 7, n: 9}. 7/340 What is prob of picking 1 m and 1 n when two letters picked without replacement from mmdmmdndmmndmmdommm? 22/171 What is prob of picking 2 j, 1 h, and 1 n when four letters picked without replacement from jjhhjjnjjnjnhhnhhh? 49/255 Two letters picked ...
{ "pile_set_name": "DM Mathematics" }
ommon multiple of 31240 and 30. 93720 Find the common denominator of -131/424692 and -133/54. 1274076 What is the common denominator of -26/127 and 6/871? 110617 Calculate the lowest common multiple of 2496372 and 28. 17474604 Calculate the least common multiple of 148 and 14319. 57276 What is the common denominator of...
{ "pile_set_name": "DM Mathematics" }
est to -0.068? (a) 1 (b) 4 (c) 5 a Which is the closest to 152? (a) 3 (b) 0.3 (c) -2/9 (d) 2 a Which is the closest to -8? (a) 0 (b) 4 (c) -4 (d) 5 c What is the closest to 2/9 in 0.21, 1, -4? 0.21 Which is the closest to 2? (a) 0.2 (b) -5 (c) 26/7 c What is the nearest to -1 in -1/3, 4, -14? -1/3 Which i...
{ "pile_set_name": "DM Mathematics" }
j is positive. j**(-106/7) Simplify (k**(-40))**(-15/2) assuming k is positive. k**300 Simplify (h/(h*h**(2/7))*h**7)/(h**1)**(1/50) assuming h is positive. h**(2343/350) Simplify l**25/l**12 assuming l is positive. l**13 Simplify j**(-9)/(j*(j/(j*j**(-6)))/j) assuming j is positive. j**(-15) Simplify (l/l**(-9/5))/((...
{ "pile_set_name": "DM Mathematics" }
*3 + i**2 + 4*i + 2. Let h be o(0). Let g(z) = z - 17 - h*z + 30 - 20. What is g(-5)? -2 Let h be (-4170)/(-21) + (-9)/(-21). Let o(v) = -408*v**3 + h*v**3 - 4*v + 210*v**3 - 2*v**2. Determine o(4). 16 Suppose -9*o + 1 + 152 = 8*o. Let n(g) = -6*g + 50. Calculate n(o). -4 Let m(b) = -6*b**2 + b + 9. Let u be m(4). Let ...
{ "pile_set_name": "DM Mathematics" }