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e prime factors of 3518? 2, 1759 What are the prime factors of 4254? 2, 3, 709 What are the prime factors of 724? 2, 181 What are the prime factors of 27876? 2, 3, 23, 101 What are the prime factors of 2291? 29, 79 What are the prime factors of 47198? 2, 23599 What are the prime factors of 9494? 2, 47, 101 List the pri...
{ "pile_set_name": "DM Mathematics" }
ing s is positive. s**(-282/1235) Simplify ((k*k/(k**(-3)*k))/k**(-6))/(k/(k*k*k/(k/k**(-2/31))*k)*k**6) assuming k is positive. k**(184/31) Simplify (f*f**0)**(-1/9) assuming f is positive. f**(-1/9) Simplify (t**(-2)*t*t)/t*t**(-2/13) assuming t is positive. t**(-15/13) Simplify (g/g**(-2/3)*g**3/g)/(g*g**6*g**(-3/5)...
{ "pile_set_name": "DM Mathematics" }
9*n. Find v, given that g(v) = 0. -1, 1 Let w(i) = -35*i + 0*i**3 + i**3 + 37*i + 4*i**2 + 2. Let c(z) = 6*z**3 + 23*z**2 + 11*z + 11. Let r(j) = -6*c(j) + 34*w(j). Determine h so that r(h) = 0. -1, 1 Let t(a) = -5*a**4 + 48*a**3 + 134*a**2 + 112*a + 31. Let h(x) = 2*x**4 - 16*x**3 - 45*x**2 - 37*x - 10. Let m(z) = -8*...
{ "pile_set_name": "DM Mathematics" }
tres in millilitres? 96343980 Convert 79.461261 microseconds to hours. 0.0000000220725725 What is 949.6978ml in litres? 0.9496978 Convert 0.325752ml to litres. 0.000325752 How many litres are there in 5182.883ml? 5.182883 Convert 1402.9404 months to years. 116.9117 What is thirty-four fifths of a litre in millilitres? ...
{ "pile_set_name": "DM Mathematics" }
66, 22209849, 29613132, 37016415, 44419698? 7403283*b What is the h'th term of 9759, 19814, 29859, 39894, 49919, 59934? -5*h**2 + 10070*h - 306 What is the c'th term of 115520, 113081, 110642, 108203, 105764? -2439*c + 117959 What is the f'th term of 1544385, 1544116, 1543667, 1543038, 1542229? -90*f**2 + f + 1544474 W...
{ "pile_set_name": "DM Mathematics" }
) - -9 -5 Evaluate 1 + (2 - 1 - (4 + -5)). 3 What is the value of -1 - (-1 + 2 + -1) - -1? 0 Evaluate 8 + -8 + 1 - -3. 4 Evaluate -1 - (5 + -12 + 0 + 4). 2 Evaluate 5 + 1 - (1 + 2 - -1). 2 What is 3 + -3 + (-1 - -3)? 2 What is 1 - (1 - (2 - 3)) - 1? -2 4 + (-1 + 8 - 5) 6 3 + (-9 - (-5 - -1)) - 0 -2 Calculate (-2 - (-6 ...
{ "pile_set_name": "DM Mathematics" }
14 What is the c'th term of -30, -127, -294, -537, -862, -1275, -1782, -2389? -c**3 - 29*c**2 - 3*c + 3 What is the y'th term of -93, -188, -283? -95*y + 2 What is the d'th term of -88, -185, -294, -421, -572, -753, -970? -d**3 - 90*d + 3 What is the c'th term of -11, -41, -85, -143, -215? -7*c**2 - 9*c + 5 What is the...
{ "pile_set_name": "DM Mathematics" }
-3*y + 4*d - o = f for y. -4 Let k(w) = w**3 + 3*w**2 - 3*w - 4. Let o be k(-3). Solve -b = -2*u + 4*b - 11, -u - 13 = -o*b for u. 2 Suppose -2*z - z + 4*v + 13 = 0, -3*v = -5*z + 18. Suppose -z*s - 48 = -3*h - 2*h, -2*h = 0. Let o = s - -33. Solve p + 30 = -5*d, -5*d - 57 = 3*p - o for d. -5 Suppose -11 = -2*j - 3. Le...
{ "pile_set_name": "DM Mathematics" }
+ 497 = 79*h for h. 10 Solve 21395*n = 21402*n + 63 for n. -9 Solve 780*c + 7438 = 418 for c. -9 Solve 15*x + 720 = 95*x for x. 9 Solve -72*w = -29*w - 37*w + 24 for w. -4 Solve -81 = -316*j + 685 - 9614 for j. -28 Solve 0 = -331*z + 335*z + 68 for z. -17 Solve -74*i - 1680 = 99*i - 33*i for i. -12 Solve 67*d - 322 - ...
{ "pile_set_name": "DM Mathematics" }
+ 19*p**2 - p + 372. Calculate c(-20). -8 Let n(k) = -k**3 - k**2 + k - 6. Give n(-2). -4 Let m(x) = -61*x - 103. Determine m(-1). -42 Let a(k) = -110*k + 1503. What is a(14)? -37 Let x(h) = 2*h**2 + 17*h + 43. Calculate x(-10). 73 Let z(k) = -2*k**3 + 2*k**2 + 24*k + 17. Give z(6). -199 Let n(z) = -z**3 - 22*z**2 + 12...
{ "pile_set_name": "DM Mathematics" }
01 - 10 - 180) to n + h*s**2 + c*s and give h. 211 Rearrange 0 - 20*n + 8 + 9 - 16 to x*n + h and give h. 1 Express (-2*r - r + 4*r)*(-5 + 4 - 1) + (0 + 2 - 4)*(506*r + 277 - 2460*r - 277) in the form i*r + t and give i. 3906 Rearrange (2 - 3*o + o - o + o**2)*(-8 + 93 - 2) to the form m + k*o + h*o**2 and give m. 166 ...
{ "pile_set_name": "DM Mathematics" }
-72) -3 Calculate (-4)/(2/(9*28/21)). -24 What is (5/(-4))/((-116)/464)? 5 What is the value of 1*2/2*1841/(-263)? -7 Calculate (460/(-322))/((-4)/(-28)). -10 ((-24)/(-6))/((-10)/(-20)*(-1)/(-2)) 16 Calculate (11/110)/((10/4)/5). 1/5 Evaluate 24*9/2592*4. 1/3 What is ((-8)/(-6))/(28/(-7980)*20)? -19 (-12)/(-8)*-22*7/84...
{ "pile_set_name": "DM Mathematics" }
2*s**3 - s**2 - 4*s**4. -4*s**2*(s - 1)*(s + 2) Let a(w) be the first derivative of -1/20*w**5 + 0*w + 3/2*w**2 - 1/4*w**4 + 0*w**3 + 2. Let g(y) be the second derivative of a(y). Factor g(k). -3*k*(k + 2) Let r = -14 - -21. Factor r - 6 + 2 - 6 - 3*q**2 + 6*q. -3*(q - 1)**2 Let n = -196 + 1374/7. Let k be (-2)/(-3) - ...
{ "pile_set_name": "DM Mathematics" }
-354 + 234. Let m = 74 + u. Let r = -41 - m. Which is the second smallest value? (a) r (b) 0 (c) 1 (d) -4 b Let l(h) = 18*h - 6 - 3 + 5*h - 22*h. Let m be l(13). Which is the smallest value? (a) m (b) -4 (c) 29 b Let g = 2269/5 - 446. What is the smallest value in -5/2, 0.4, g? -5/2 Let y = -444 + 1282/3. Let g...
{ "pile_set_name": "DM Mathematics" }
r. 0, -4, -5, -8009233 Put 1, -7, -22, -10, 2, 6 in increasing order. -22, -10, -7, 1, 2, 6 Put 3011, 542, 1, 3 in descending order. 3011, 542, 3, 1 Sort -2, -43, -3, -188, -9, -10. -188, -43, -10, -9, -3, -2 Put 5, 4, 0, -2, 7027 in descending order. 7027, 5, 4, 0, -2 Put 0.3, -1/5, 1/12, 4, 172680 in descending order...
{ "pile_set_name": "DM Mathematics" }
What is seven quarters of a litre in millilitres? 1750 How many years are there in 21/5 of a millennium? 4200 How many days are there in 263351.115us? 0.0000030480453125 How many milligrams are there in 1/20 of a gram? 50 What is 1/20 of a litre in millilitres? 50 What is two fifteenths of a week in seconds? 80640 Con...
{ "pile_set_name": "DM Mathematics" }
+ 0*k**2 + (-10*k**2 + 3*k**2 - 2*k**2)*(-27 + 8 + 8) as g*k + u*k**2 + p and give g. -2 Express -58*p**2 + 15*p**2 + 267*p**2 + 227*p**2 - 36*p**2 as k + r*p**2 + x*p and give r. 415 Rearrange -34 + i + 11*i**2 + 3*i + 33 - 15*i**2 to f*i + r + j*i**2 and give j. -4 Rearrange 0*s**4 + 0*s**4 - 5*s**4 + (6*s + 2*s + 3*...
{ "pile_set_name": "DM Mathematics" }
Let f(w) = 7*w + 8. Let b(z) = 3*f(z) + 24*r(z). What is i(b(g))? -12*g Let j(u) = 3*u**2. Let d(p) = -5*p**2 - 11*p + 11. Let y(w) = -w**2 - 2*w + 2. Let m(b) = -2*d(b) + 11*y(b). Give m(j(k)). -9*k**4 Let b(l) be the first derivative of l**4/4 - 4*l - 3. Let m(p) be the first derivative of b(p). Let w(q) = -2*q - 2*q...
{ "pile_set_name": "DM Mathematics" }
125 - 62 = 0. Is r(t) a composite number? True Is 2*32613/(-63)*177/(-2) prime? False Let r(b) = 3058*b + 42. Let f(a) = 1019*a + 14. Let h(o) = 7*f(o) - 2*r(o). Let i be h(3). Suppose -2*m + 2073 + i = 0. Is m a prime number? False Let t be (-2)/(-7 - 1161139/(-165879)). Let i = t - 6112. Is i a prime number? False Le...
{ "pile_set_name": "DM Mathematics" }
the thousands digit of 8594165? 4 What is the tens digit of 1053883? 8 What is the hundreds digit of 91986? 9 What is the units digit of 1153570? 0 What is the hundreds digit of 185541? 5 What is the tens digit of 188278? 7 What is the hundred thousands digit of 3511606? 5 What is the hundreds digit of 22667062? 0 Wha...
{ "pile_set_name": "DM Mathematics" }
5 (b) g (c) j a Let z(y) = -y + 4. Let p be z(6). Let n = -9.1 - -3. Let h = n + 6. Which is the second smallest value? (a) 2/3 (b) h (c) p b Suppose 5*w - z = 12, 5*z + 9 + 9 = 4*w. Let u = 0.1 + -0.1. What is the third biggest value in w, 1, u? u Let i be (-9 + 470/50)/(8/5). Which is the fourth biggest value? ...
{ "pile_set_name": "DM Mathematics" }
t k = -4 - -2. Let q(m) = 3*m**3 - 2*m. What is b*q(v) + k*w(v)? 3*v**3 Let h(y) = -21*y**2 - 27*y. Let j(l) = -l**2 - 4*l + 1. Let q be j(-5). Let m(f) = -3*f**2 - 4*f. Calculate q*h(b) + 27*m(b). 3*b**2 Let j(z) = -7*z**3 + 5*z**2 + 3*z. Let g be (-8 + 7)/((-1)/3). Let d(c) = 5*c**g - c**3 - 3*c**2 - 2*c + 0*c. What ...
{ "pile_set_name": "DM Mathematics" }
f b and i? 18 Suppose -3*r + 205 = 4*v, 0*r = -r - 1. Let l = v - 28. Calculate the greatest common divisor of l and 16. 8 Suppose 4*c - 3*b + 69 = 168, -3*c = b - 84. Calculate the highest common factor of 36 and c. 9 Let j = 146 - 143. What is the greatest common divisor of j and 5? 1 Let b(t) = -t + 8. Let p be b(-6...
{ "pile_set_name": "DM Mathematics" }
the third derivative of 22475*m**3 + 2*m**2 - 4310*m - 1? 134850 Find the third derivative of -n**2*z**4 + n**2*z**3 - 2*n**2*z**2 - 122*n**2 - 3*n*z**2 - 943*z**4 - 14 wrt z. -24*n**2*z + 6*n**2 - 22632*z Find the second derivative of -j**2*s**2 - 248*j**2*s - j*s**2 - 2*j*s + 27*s**2 wrt j. -2*s**2 - 496*s Find the ...
{ "pile_set_name": "DM Mathematics" }
ithout replacement from iiiiiiyiiiiii. Give prob of sequence yi. 1/13 Two letters picked without replacement from {u: 2, r: 1, q: 2, l: 2, n: 13}. Give prob of sequence lu. 1/95 Two letters picked without replacement from ddojgjjdppgdjjjdpj. Give prob of sequence dd. 10/153 What is prob of sequence fl when two letters ...
{ "pile_set_name": "DM Mathematics" }
he nearest integer? 2 What is the third root of 52026 to the nearest integer? 37 What is the square root of 4169 to the nearest integer? 65 What is the seventh root of 7082 to the nearest integer? 4 What is the eighth root of 2168 to the nearest integer? 3 What is 5092 to the power of 1/7, to the nearest integer? 3 Wha...
{ "pile_set_name": "DM Mathematics" }
- 24 for s. -2 Suppose 12*z + 9*z = -7707. Let k = z - -373. Solve 2*w = -f - 0*w - k, -3*f = -w + 11 for f. -4 Let u(v) = -v**3 - 51*v**2 - 50*v + 45. Let x be u(-50). Suppose 15 = -x*a + 48*a. Suppose -3*i = -27 - 30. Solve -a*h - i = -2*k, -h + 3*k - k = -1 for h. -5 Let y = -420 + 666. Let n = y - 242. Solve -m - 5...
{ "pile_set_name": "DM Mathematics" }
without replacement from qmimimmqimim. Give prob of picking 1 i and 2 q. 1/55 What is prob of picking 3 c when three letters picked without replacement from {c: 6, w: 4, g: 3}? 10/143 Three letters picked without replacement from pdddtdtpdtdpp. What is prob of picking 2 t and 1 p? 6/143 Two letters picked without repla...
{ "pile_set_name": "DM Mathematics" }
the third derivative of i**5/30 - 5*i**4/8 + i**3 - i**2. Let u be (0 - 1)/((-278)/(-1390)). What is the units digit of z(u)? 1 Let q(y) = 3*y**2 - 12*y + 11743. What is the thousands digit of q(0)? 1 Let t = -35 + 38. Suppose -4*l + 3*n + 2392 = 8*n, -5*l + 2990 = -t*n. What is the hundreds digit of l? 5 Let a(w) = -2...
{ "pile_set_name": "DM Mathematics" }
3*d - 2 - 2*d**2 + 0*d. Let m be o(l). Is -2 less than m? False Let s be -5*(-2)/30 - 44/6. Is -15/2 at most s? True Let n(l) = 11*l. Let q be n(5). Let t = q - 441/8. Let z(w) = -w**3 - 5*w**2 + 1. Let j be z(-5). Which is bigger: t or j? j Let r be (-505)/(-35) + 3*(-3)/21. Which is greater: 16 or r? 16 Let i = -0.2 ...
{ "pile_set_name": "DM Mathematics" }
5 - 230643*l**4 - l - 4243047? -920*l**3 - 2767716*l**2 What is the third derivative of 1470501*f**3 + 24*f**2 - 84094*f wrt f? 8823006 What is the third derivative of -26*p**5 + 35*p**4 + 1961*p**3 + p**2 + 67769*p + 16? -1560*p**2 + 840*p + 11766 Find the second derivative of -22*h*q**3 - 3*h*q**2 - h*q - 8*h + 3*q**...
{ "pile_set_name": "DM Mathematics" }
ww. 1/2 Two letters picked without replacement from {j: 3, o: 3, i: 7, s: 1, e: 2, z: 2}. What is prob of picking 1 z and 1 j? 2/51 Two letters picked without replacement from thtttrrtttitrxxtt. Give prob of picking 1 i and 1 x. 1/68 What is prob of picking 2 x and 2 q when four letters picked without replacement from ...
{ "pile_set_name": "DM Mathematics" }
n(o) = o**3 - 3*o**2 + 8*o - 8. Let a(v) = -4*v**3 + 11*v**2 - 34*v + 32. Let p(q) = 2*a(q) + 9*n(q). What is p(4)? -8 Suppose 0 = -3*m - 0*m. Let d be 0 - -3 - (0 - m). Let u(x) = -4*x - x - 4 + d + 3*x. Give u(-5). 9 Let g(n) = -n**3 - 3*n**2 - 13. Let r be g(-4). Suppose 69 = -r*q + f, 4*q + 115 = -q - 2*f. Let a =...
{ "pile_set_name": "DM Mathematics" }
27 What is the value of (((-16)/(-84))/((-18)/21))/((-16)/18)? 1/4 Calculate ((-28728)/16758)/((4/14)/1). -6 (98/(-1008)*12)/(1/(-12)) 14 What is (((-6253)/65)/(-37))/((-3)/15)? -13 (8/5)/((45/135)/((-10)/18)) -8/3 (-119)/(-3332)*(-60)/9*6/(-15) 2/21 What is (2/24)/(((-5587)/(-10212))/151)? 23 Calculate 4*(-2)/4*(-44)/...
{ "pile_set_name": "DM Mathematics" }
- 12. Is b(17) composite? True Let j(f) = f - 4. Let n(z) = 3*z - 8. Let l(v) = -5*j(v) + 2*n(v). Let k be l(-2). Suppose y + 3*m - 518 = 0, 3*m + 555 = k*y - 508. Is y composite? True Let w(a) = 19*a**3 - 8*a**2 - 12*a + 8. Let d be w(8). Suppose -2129 + d = 3*n. Is n a prime number? True Let x(v) = -857*v + 238. Let...
{ "pile_set_name": "DM Mathematics" }
0. Solve 0 = -g - 3*g, j - p*g = -4 for j. -4 Let n(d) = 5*d**3 + 2*d**2 + 2*d + 1. Let z be n(-2). Let t = z - -39. Solve v = -4*p - 3, 6 = -t*v + 5*p + 36 for v. 5 Let r = -24 + 27. Suppose 5*t = r*i + 15, -15 = -5*t + 4*i + 5. Suppose -3*u + t*g + 4*g = 8, 0 = u - g + 1. Solve -u*q + 4 = -b + 5*b, 0 = 4*b + 12 for ...
{ "pile_set_name": "DM Mathematics" }
et c be x(2). Suppose 6 = b - c*b. Is b a multiple of 6? True Let o = 283 + -85. Is o a multiple of 12? False Suppose 2*w + 129 = 349. Is w a multiple of 11? True Let q(n) = -3*n**3 - 2*n**2 - 2. Let s be q(2). Let m(y) = y**2 + 13*y - 18. Let c be m(-13). Let z = c - s. Is z a multiple of 12? False Suppose -2*k + 21 =...
{ "pile_set_name": "DM Mathematics" }
What is the highest common divisor of d and m? 18 Let h = 31860 - 31830. Calculate the greatest common divisor of 7554 and h. 6 Suppose -3*p - 12*u = -8*u - 852, 6 = 2*u. What is the highest common factor of p and 120? 40 Suppose -3*h - 2*h = -1125. Let x(p) = -95*p - 181. Let a be x(-2). What is the highest common fa...
{ "pile_set_name": "DM Mathematics" }
quence uu? 10/153 Calculate prob of sequence logg when four letters picked without replacement from {m: 3, o: 3, g: 1, u: 4, l: 6, a: 1}. 0 What is prob of sequence ccgc when four letters picked without replacement from giciccgccicciccc? 3/91 Three letters picked without replacement from llllxlxlllxxxxxxxl. Give prob o...
{ "pile_set_name": "DM Mathematics" }
hat is 101201 (base 3) in base 11? 243 What is 1b (base 14) in base 16? 19 What is -1020 (base 5) in base 6? -343 1a (base 12) to base 4 112 What is 1000 (base 2) in base 9? 8 What is 1110 (base 2) in base 14? 10 Convert 5 (base 6) to base 9. 5 What is 112 (base 3) in base 11? 13 What is 10 (base 4) in base 12? 4 What ...
{ "pile_set_name": "DM Mathematics" }
r r. 5 Solve 175 - 155 = -4*r for r. -5 Solve -389*v = -386*v + 12 for v. -4 Solve 16 - 7 = 3*o for o. 3 Solve 0 + 78 = -26*g for g. -3 Solve -12 = 21*q - 17*q for q. -3 Solve -16 = -s - 19 for s. -3 Solve -24*o + 21*o - 12 = 0 for o. -4 Solve 48 = 11*p - 3*p for p. 6 Solve -1271*a = -1280*a - 54 for a. -6 Solve 0 = 9*...
{ "pile_set_name": "DM Mathematics" }
rom wxxxnxnwnnxxn? 5/143 Calculate prob of sequence np when two letters picked without replacement from ppnssssppnpsssppsp. 8/153 Four letters picked without replacement from olhaddd. Give prob of sequence hloa. 1/840 What is prob of sequence uu when two letters picked without replacement from {d: 4, p: 7, u: 1, j: 1}?...
{ "pile_set_name": "DM Mathematics" }
ose -p - 4*d = -0*p + 19, -16 = -p + 3*d. Let z be p/1 - 1 - -4. Differentiate 13 + z*j**4 - 2*j**4 - 10 wrt j. 8*j**3 Let h(p) be the second derivative of -p**3 + 0 + 0*p**2 - 1/12*p**4 - 4*p. Find the second derivative of h(r) wrt r. -2 Let g(r) = -2*r + 2. Let x be 1 - (-2 - -1 - -1). Let z(d) = -d. Let c(s) = x*g(s...
{ "pile_set_name": "DM Mathematics" }
*n + 11*n - 4 = -8*d, 13 = -d + 4*n for d. -1 Solve 0 = 4*c + 4*r - 16, 20*c = 22*c + 3*r - 13 for c. -1 Solve 0 = -5*y + 3*c - 3, -3*y + 5*c = -14 + 3 for y. -3 Solve 3*x = -3*n - 3, -5*x - 28 = -5*n + x for n. 2 Solve -4*w - 20 = -323*y + 319*y, -8*y + 20 = 2*w for w. -2 Solve 0 = b + 6, 8*v - 127 + 105 = 3*v + 2*b f...
{ "pile_set_name": "DM Mathematics" }
decades? 6 What is 3/50 of a micrometer in nanometers? 60 How many minutes are there in one sixteenth of a week? 630 Convert 8.71941 centuries to decades. 87.1941 How many years are there in 242.8403 centuries? 24284.03 What is 1/20 of a meter in micrometers? 50000 How many microseconds are there in 9.884311s? 9884311...
{ "pile_set_name": "DM Mathematics" }
ivative of -z**6/720 - z**5/60 - 4*z**4/3 + 9*z. Let g(x) be the third derivative of h(x). Let d = 2 + 0. What is g(d)? -4 Let u(z) = z**3 + 15*z**2 - 18*z - 17. Let a(i) = -11*i - 93. Let p be a(-7). Determine u(p). 15 Let m(o) = -3*o**3 + 6*o + 6. Let i(k) = 4*k**3 - 9*k - 9. Let c(a) = -5*i(a) - 7*m(a). Suppose -4*y...
{ "pile_set_name": "DM Mathematics" }
Solve -43497*f - 4*x = -43500*f + 32, 0 = 4*f + 4*x - 80 for f. 16 Solve -u + 24 = -2*m, -3*u + 56 = 27*m - 90*m + 65*m for u. 20 Solve -5*k = 2*f - 230, 13*f - 102 = k - 81 for k. 44 Solve -31*s = -5*c - 33*s + 74, 2*c = 4*s + 21 - 1 for c. 14 Solve 4*c + 404*h - 408*h = -84, 3*c + 8*h = 190 for c. 2 Solve 2527*j - 77...
{ "pile_set_name": "DM Mathematics" }
t are the prime factors of q? 2, 3 Suppose -3*n = -4*r - 153, 0*n - 51 = -n + 3*r. What are the prime factors of n? 3, 17 Let k = -242 - -128. Let h be 2/(-11) + k/(-22). Let v(i) = -i**2 + 7*i - 6. What are the prime factors of v(h)? 2 Let j = 4 + -2. Let v be 1*((j - 1) + 42). Suppose 0 = 4*p - 3*m - 47, 3*p - v = 5*...
{ "pile_set_name": "DM Mathematics" }
et i = 4 - 0. Suppose 4*u + z - 22 = 0, 4*u + 4*z - 24 = -8. Suppose -4*j + 10 = u. Solve -4*y + 5*r = 35, 0 = -5*y - i*r - j - 12 for y. -5 Let i = -189 - -191. Solve -2*k = i*s + 2*k + 12, 4*k + 16 = 0 for s. 2 Let r = -83 - -68. Let x(m) = -m**2 + m + 2. Let f be x(4). Let o = f - r. Solve -t - 4*n = -0*t + o, 0 = -...
{ "pile_set_name": "DM Mathematics" }
at is the value of 60 - (-92 - (-86 + -15))? 51 What is -4 + (4 - 36) + -40 + (4 - 1 - -11)? -62 Calculate 25 + (12 - 37) - (-7 + (5 - 3) - 100). 105 What is 0 + 12 + (-84 - -72) - -12 - (-11 - -39)? -16 0 + ((234 - 248) + (-4 - 0) - -12) -6 Calculate (18 - -2 - (94 + -113 + 73)) + (-5 - 4). -43 -4 + 5 + 8 + (10 - 22) ...
{ "pile_set_name": "DM Mathematics" }
a microsecond in nanoseconds? 3750 What is twenty-five halves of a litre in millilitres? 12500 Convert 2305.102 tonnes to grams. 2305102000 How many milliseconds are there in seven eighths of a second? 875 What is 7299.449 minutes in seconds? 437966.94 What is 4/15 of a day in minutes? 384 What is 3.39604 kilograms in...
{ "pile_set_name": "DM Mathematics" }
0))**2))*6. 1800*sqrt(11) + 211302 Simplify (-2 + -2*(-2 + 2*sqrt(972)*-2 + -5) + 4)**2. 4608*sqrt(3) + 62464 Simplify 4 + (sqrt(896)/sqrt(7) + -5 + (sqrt(512) - (sqrt(512)*1*1 - sqrt(512))))*-1. -24*sqrt(2) + 9 Simplify (((sqrt(300)*-2 + sqrt(300))*6)/(sqrt(12) - (sqrt(768)*-2 - sqrt(768))))/((sqrt(605) - (sqrt(605) -...
{ "pile_set_name": "DM Mathematics" }
und t to the nearest 10. -160 Let l = -59.9 + 59.91617. What is l rounded to three decimal places? 0.016 Let o = -12386 + -31664. Round o to the nearest 10000. -40000 Suppose 3*u + 9 = r, -3*r - 3*u - 13 = -4. Suppose r = -g + 12*a - 10*a + 204492, 2*a - 818008 = -4*g. What is g rounded to the nearest 10000? 200000 Let...
{ "pile_set_name": "DM Mathematics" }
= -5*d(i) + 6*k(i). What is -18*g(n) - 2*j(n)? 4*n - 4 Let u(s) = -111*s**2 - 5*s + 42. Let o(y) = -39*y**2 - 2*y + 13. Give -8*o(i) + 3*u(i). -21*i**2 + i + 22 Let r(z) = 3*z + 3. Let i = -12 + 5. Let o(w) = -10*w - 10. Suppose 5*a + 5*y = -25, -3*a + 4*y - 472 = -478. What is a*o(s) + i*r(s)? -s - 1 Let f(o) = 184*o*...
{ "pile_set_name": "DM Mathematics" }
der when 56800 is divided by 526? 518 What is the remainder when 60801 is divided by 13822? 5513 What is the remainder when 13000106 is divided by 4806? 4682 Calculate the remainder when 51986 is divided by 607. 391 Calculate the remainder when 16339 is divided by 13125. 3214 What is the remainder when 209838042 is div...
{ "pile_set_name": "DM Mathematics" }
second derivative of g(b) wrt b? 8764 Let y = -27 + 62. Suppose 8*r - y = 3*r. Find the third derivative of -99*c + r*c**2 - 5*c**6 - 2*c**6 + 99*c wrt c. -840*c**3 Let q(y) be the second derivative of -697*y**7/14 + 1411*y**4/12 + 1888*y - 2. What is the third derivative of q(u) wrt u? -125460*u**2 Suppose 5490 = 570...
{ "pile_set_name": "DM Mathematics" }
003234 rounded to five decimal places? -0.00032 Round 0.0000647 to six dps. 0.000065 What is 0.000001651 rounded to seven decimal places? 0.0000017 Round 0.0000014493 to six dps. 0.000001 Round -0.0012528 to 5 decimal places. -0.00125 What is -0.012898 rounded to four decimal places? -0.0129 What is 192.2 rounded to ze...
{ "pile_set_name": "DM Mathematics" }
ue of (-49*33/6468)/((-2*1)/(-120))? -15 What is the value of (-2)/(-22)*6/((-48)/8)*-5? 5/11 What is (1/2)/((-11)/(-21120)*-60)? -16 Evaluate (-546208)/(-2626)*(33/(-24))/(-11). 26 What is the value of 27/((-405)/(-10))*24/52? 4/13 14/24*3/(-7)*23/(-69) 1/12 Calculate ((-51585)/724)/((-45)/(-24)). -38 95/(19/1)*((-15)...
{ "pile_set_name": "DM Mathematics" }
- 5. Let h(p) = -5*n(p) - 2*w(p). What is the second derivative of h(q) wrt q? 60*q**2 Let i(s) = -18*s**2 - 2*s - 2. Let j(q) = -36*q**2 - 3*q - 5. Let h(t) = -5*i(t) + 2*j(t). Find the second derivative of h(w) wrt w. 36 Let t(i) = 9*i**3 - 5. Let p(s) = -5*s**3 + 3. Let q(z) = -5*p(z) - 2*t(z). Differentiate q(f) w...
{ "pile_set_name": "DM Mathematics" }
ve. 1/l Simplify o**6/o**(-2/7)*(o**(1/3))**(-37) assuming o is positive. o**(-127/21) Simplify (w*w/(w**(-19)*w))/w*w*w**(-13) assuming w is positive. w**7 Simplify (y**(-7)*y)**5 assuming y is positive. y**(-30) Simplify g/(g*g**(-2/37)*g)*(g**4/g)/g assuming g is positive. g**(39/37) Simplify (c**(2/33)/c)**(-50) as...
{ "pile_set_name": "DM Mathematics" }
divided by 28. 25 Let t = 7 - -44. Calculate the remainder when 407 is divided by t. 50 Suppose s - 5*n = 6, 82 = 2*s - 0*n + 4*n. Let x = 53 - 36. What is the remainder when s is divided by x? 14 Let l be (1 - 1)*(2 + -3). Suppose -21 = -l*g - g. What is the remainder when g is divided by (120/(-140))/((-3)/(-21)*-1)?...
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when 1187 is divided by 13. 4 Calculate the remainder when 3295 is divided by 66. 61 Calculate the remainder when 394 is divided by 98. 2 Calculate the remainder when 98 is divided by 53. 45 Calculate the remainder when 175 is divided by 47. 34 What is the remainder when 500 is divided by 244? 1...
{ "pile_set_name": "DM Mathematics" }
*v + p = 41 for v. 4 Let g = -255 - -249. Suppose w + 4 = a - 2*a, -4*a = -2*w - 20. Let y be 0 - 1/(g/(-8))*w. Solve -y = -3*l - 23 for l. -5 Let n be (-1172)/12 - (-30)/18. Let j = 106 + n. Solve -8 = -j*y + 12*y for y. -4 Suppose 5*n - 2*q - 113 = 0, -42*n - 43 = -43*n - 3*q. Solve -70 = 15*o - n for o. -3 Suppose -...
{ "pile_set_name": "DM Mathematics" }
6 = 0 for s. -3 Let x = 2074 - 2074. Solve 6*l + 3*c + 11 = 11*l, x = 4*l - 5*c - 14 for l. 1 Suppose -202 - 2 = 6*y. Let v = y - 2. Let j be (456/v)/((-2)/3). Solve -5*o - f - 1 = 9, -3*o - j = -2*f for o. -3 Suppose -18*i - 252 = 3*i. Let r be i/(-8)*(-128)/(-24). Solve -r = 4*d + 2*w, -3*d = -2*d - 3*w + 16 for d. ...
{ "pile_set_name": "DM Mathematics" }
to the nearest ten thousand? -7240000 What is 0.00000135649 rounded to seven dps? 0.0000014 What is -0.00000141056 rounded to 7 dps? -0.0000014 What is 0.3033958 rounded to three dps? 0.303 What is -42116.428 rounded to the nearest one thousand? -42000 What is -2422.785 rounded to zero decimal places? -2423 What is 1....
{ "pile_set_name": "DM Mathematics" }
e. j**(-83/14) Simplify (l*((l/l**7)/l)/l*l)/(((l**(-3/5)/l)/l)/l)*l**(-1/2)*l**13*l*l*l assuming l is positive. l**(131/10) Simplify (f**4*f/((f*f**(-36))/f*f))**(-48) assuming f is positive. f**(-1920) Simplify (((f*f**0)/(f*f/(f/f**(1/8)*f)))/(f/f**1)**(2/59))**43 assuming f is positive. f**(301/8) Simplify ((c**(-1...
{ "pile_set_name": "DM Mathematics" }
)*3))/sqrt(6). 24*sqrt(17) Simplify 1 + 4*((1*sqrt(432))**2 + sqrt(432)) + 0. 48*sqrt(3) + 1729 Simplify (0 + sqrt(19) + 3 - sqrt(152)/sqrt(72))**2. 4*sqrt(19) + 157/9 Simplify sqrt(11) + (sqrt(110)/sqrt(640))**2 + 3 + sqrt(44)/sqrt(4) + sqrt(11). 203/64 + 3*sqrt(11) Simplify -3*(sqrt(475) + (sqrt(475) - (-1 + sqrt(475...
{ "pile_set_name": "DM Mathematics" }
. -10 What is -11 + 1 + 25 + -19? -4 19 + -9 - (-2 - -20) - -10 2 What is the value of 7 - (-6 - -8 - -17) - (-2 - -2)? -12 Calculate (3 - (-9 + 14)) + (-14 - -4). -12 What is the value of (-15 - 10) + -8 + 21? -12 (-6 - (-2 - -2)) + 13 + -10 -3 Evaluate -42 + -13 - -26 - -62. 33 5 + 1 + (-13 - 5 - 2) -14 -11 + -1 + -3...
{ "pile_set_name": "DM Mathematics" }
, -1, 0 Suppose 44*r - 3/2*r**4 - 38*r**2 + 13*r**3 - 16 = 0. Calculate r. 2/3, 2, 4 Let x(l) = l**2 - 6*l - 7. Let y be x(-2). Let t(d) = 141*d**2 + 129*d + 6. Let i(j) = 71*j**2 + 64*j + 3. Let r(z) = y*i(z) - 5*t(z). Factor r(c). -3*(c + 1)*(22*c + 1) Factor 34*y - 2*y**2 - 29*y + 273 - 73*y + 31. -2*(y - 4)*(y + 38...
{ "pile_set_name": "DM Mathematics" }
7)/(-12)). What is the closest to 0.34 in j, -0.4, 4/9? j Let x = -2666.5 - -2666.2. Let p = 6.3 - 5.22. Let z = p + -1. What is the closest to -0.3 in -2, z, x? x Let u = 0.4 + 0.1. Let i = -391 - -146. Let v = 244 + i. Which is the nearest to v? (a) -0.1 (b) u (c) -0.2 c Let q = 0.11 + -0.91. Let o = q + 0.9. Let ...
{ "pile_set_name": "DM Mathematics" }
60*q**7 - 2/5*q**5 + 0*q - 1/36*q**6 + 61*q**2 - 3*q**4 + 0. Factor l(f). -(f + 2)*(f + 6)**3/6 Let b = -601252/9 - -66808. Factor b*w - 50/9 - 2/9*w**2. -2*(w - 5)**2/9 Let l(q) = 26*q - 6. Let j be l(-15). Let d be (2 - (j/16)/9) + -4. Suppose -d*p**2 + 0*p - 3/4*p**3 + 0 = 0. Calculate p. -1, 0 Let v(c) be the secon...
{ "pile_set_name": "DM Mathematics" }
*r**3*w**2 - 2*r**3 - 95*r*w**2 - 4042*r*w wrt w. -4*r**3 - 190*r What is the derivative of 55*p**3 + 127*p**2 - 6*p + 584235? 165*p**2 + 254*p - 6 What is the first derivative of -3*l*m**2 - l*m + 7*l - 107*m**2 + 78*m - 20375 wrt m? -6*l*m - l - 214*m + 78 Find the second derivative of -40*w**5 + 252*w**4 - 2*w**3 - ...
{ "pile_set_name": "DM Mathematics" }
Let a(y) = -2*y. Give a(u(h)). -1010*h**2 Let k(p) = -2*p. Let d = -5 + 7. Let r(s) = d*s - 7*s + 3*s + s. Calculate r(k(j)). 2*j Let v(p) = 11*p. Let l(s) = 81*s**2. Let x(m) = -40*m**2. Let d(k) = 3*l(k) + 5*x(k). Calculate v(d(b)). 473*b**2 Let l(y) = -11*y**2 + 8. Let i(c) = -32*c + 0 + 30*c + 0. Give l(i(f)). -44...
{ "pile_set_name": "DM Mathematics" }
. 8 Suppose -f - 10 = 4*y - 304, 297 = f + y. Calculate the remainder when f is divided by 18. 10 Calculate the remainder when 597 is divided by 2*10/4 - (10 - 15). 7 Let l(f) = -f**3 + 8*f**2 - 8*f + 1. Let w be l(7). Let x(r) = -4*r + 6. Let a = -32 + 48. Calculate the remainder when x(w) is divided by a. 14 Let r(g)...
{ "pile_set_name": "DM Mathematics" }
2 - (2 - -1 - 18)? 19 What is the value of 0 + 7 + (0 - -26)? 33 Calculate 3 + -8 + 1 + -3 - -9. 2 What is the value of -23 - (24 - 72 - -8)? 17 What is the value of -2 + 3 + (-16 - -12 - 3) + 5? -1 What is the value of 1 + -2 + 11 + 226 + -242 - -2? -4 -30 + 14 - (18 - 22 - (-1 - -4)) -9 -1 + -9 - (-27 - 0) - -8 - 3 2...
{ "pile_set_name": "DM Mathematics" }
Let g(f) = f**3 + 12*f**2 - 21*f - 20. What are the prime factors of g(-13)? 2, 3, 7 Suppose -15*k + 11*k = -596. List the prime factors of k. 149 Let r = 4 - 2. Let z(q) = -4 + q**3 + r - 4*q - 1 + 2*q**2. What are the prime factors of z(-2)? 5 List the prime factors of (-952)/(-6) - (-4)/(-6). 2, 79 Suppose -87 = -t ...
{ "pile_set_name": "DM Mathematics" }
ommon factor of 53158 and 126. 14 Calculate the highest common factor of 210 and 19970. 10 What is the greatest common factor of 44506 and 91? 7 What is the greatest common divisor of 429 and 20449? 143 What is the greatest common divisor of 28 and 257271? 7 Calculate the highest common divisor of 2 and 16281. 1 Calcul...
{ "pile_set_name": "DM Mathematics" }
-0.5, -3, -4, 14? -3 Which is the fifth biggest value? (a) -4 (b) -3 (c) -561 (d) -2/9 (e) -5 (f) -29.6 f What is the second smallest value in 2/5, -1/5, 0, -0.76, -17.144, -1? -1 What is the third smallest value in 1, 0.3, -222952, -9/5? 0.3 Which is the second biggest value? (a) 80/3 (b) -0.496 (c) -25 b Wha...
{ "pile_set_name": "DM Mathematics" }
What is the remainder when j is divided by y? 14 Suppose -5*t + 11 + 9 = 0. Suppose 560 = t*y + y - 5*p, 0 = -5*y + 3*p + 556. What is the remainder when y is divided by 38? 34 Let o be (-30)/4*(-12)/(-18) + 675. Let x = o + -647. Calculate the remainder when 65 is divided by x. 19 Let r(i) = -5*i + 15. Suppose 3*v = -...
{ "pile_set_name": "DM Mathematics" }
x. 2 Let p = 32 - -18. Suppose 0 = -6*v + p - 32. Solve -2*c + 1 = -v for c. 2 Suppose -4*u + 3*p + 3 = 6, 0 = 5*u - 3*p. Let t = -56 + 60. Suppose 4 = t*i - 2*i. Solve u*z = -4 - i for z. -2 Let l(j) = 4*j - 5. Let w be l(2). Suppose 5*q - 2*q + 3*g = -3, -w*q + 5 = -5*g. Solve -5*n - 11 - 4 = q for n. -3 Let m be 39...
{ "pile_set_name": "DM Mathematics" }
((-2*sqrt(400)*-3 - sqrt(400)) + sqrt(400))/(sqrt(8) - sqrt(128)*1). -10*sqrt(2) Simplify (-6*sqrt(20)/(sqrt(250) + (sqrt(250)*1 - sqrt(250)) + sqrt(250)))**2. 18/25 Simplify (sqrt(80) + 1)**2 - -4*sqrt(5)*-1. 4*sqrt(5) + 81 Simplify sqrt(91)/(sqrt(847)*1). sqrt(13)/11 Simplify (-3*sqrt(60))/sqrt(12) - (sqrt(720) + (sq...
{ "pile_set_name": "DM Mathematics" }
192*c + 7*c**4 - 11*c + 14*c**4 + 8*c**4 + 181. What is the first derivative of h(t) wrt t? 348*t**2 Let r(i) be the third derivative of -i**5/30 + 33*i**4/4 + 203*i**3/2 + 2*i**2 - 410*i. What is the derivative of r(j) wrt j? -4*j + 198 Let y be 1 - 1/(-1)*2. Let c = 1573 + -1570. What is the derivative of -731*d**c +...
{ "pile_set_name": "DM Mathematics" }
z/7 + 6000/7. -(z - 375)*(z - 8)*(3*z - 2)/7 Solve -306*t**2 + 106*t + 200 = 0. -100/153, 1 Solve -y**5 - 21*y**4 - 129*y**3 - 271*y**2 - 234*y - 72 = 0. -12, -6, -1 Find n, given that -2*n**2/13 - 82*n/13 + 88 = 0. -52, 11 Factor 5*o**5 + 530*o**4 - 1620*o**3 + 1630*o**2 - 545*o. 5*o*(o - 1)**3*(o + 109) Let 5*b**3 - ...
{ "pile_set_name": "DM Mathematics" }
mainder when 49614047 is divided by 62. 35 What is the remainder when 1280909 is divided by 64? 13 Calculate the remainder when 2720396 is divided by 3637. 3557 Calculate the remainder when 188499 is divided by 1166. 773 Calculate the remainder when 85608586 is divided by 1331. 1328 Calculate the remainder when 2109900...
{ "pile_set_name": "DM Mathematics" }
x**4 - 620*x**4 + 6*x**4 + (-x**3 + 4*x**3 - 2*x**3)*((1 - 1 + x)*(4 + 1 - 4) + 0*x - 3*x + 5*x) + 0*x**4 - 3*x**4 + x**4. -942*x**4 Expand -41686*d + 20838*d + 20843*d - 227*d**2 + (2 - 2 - 2*d)*(-1 + 1 - d). -225*d**2 - 5*d Expand (-4 + 0 - 4 + 2 + 3 - 2 + 4 - 3 - 3 + (0 + 3 - 2)*(1 - 2 + 0) + 3 + 0 + 0)*(j**4 + 3*j*...
{ "pile_set_name": "DM Mathematics" }
- 3*o + 4*o + 0*o to v + y*o and give y. 81 Rearrange (1603 - 1534 - 2*r + 668)*(2*r - 2*r + 2*r**2) to h + c*r + g*r**2 + f*r**3 and give g. 1474 Rearrange -26 + u - 50 + 35 to f*u + w and give w. -41 Rearrange 217*u - 29*u**2 - 217*u + 2*u**2 + 4*u**2 - 4*u**2 + (-5*u - 2*u + 3*u)*(-3*u + 4*u - 2*u) to the form m*u**...
{ "pile_set_name": "DM Mathematics" }
+ 25*u. Let c = -16 - -22. Suppose -r = -2*k + c, -4 = 3*k - 2*r - 13. Solve 8 = -k*b + 4*v, -4*v + 2 = -u*b - 3*v for b. 0 Let u = 207 + -88. Let n = -86 + u. Let a = n + -30. Solve -3*b - 3 = a*v - 18, v - 9 = -2*b for v. 1 Let o(y) = -3*y**2 + 18*y + 24. Let l be o(10). Let b = l - -98. Solve 3*v - b*a = 16, -24 = 3...
{ "pile_set_name": "DM Mathematics" }
d derivative of -27*d**4*u + 42*d**2*u**3 - d*u**3 - 157*d*u wrt d. -324*d**2*u + 84*u**3 Find the third derivative of -42*v**2*y**4 + 4*v**2*y - 76*v*y**2 - y**4 - 8*y**3 wrt y. -1008*v**2*y - 24*y - 48 Find the second derivative of -k**3 - 8586*k**2 + 519*k. -6*k - 17172 Differentiate 4688*v**4 + 1409. 18752*v**3 Dif...
{ "pile_set_name": "DM Mathematics" }
09783 and 1914. 87 What is the greatest common factor of 12 and 2523? 3 Calculate the highest common factor of 16848 and 3952. 208 Calculate the highest common divisor of 329 and 56. 7 What is the greatest common divisor of 23 and 37329? 23 Calculate the greatest common divisor of 68 and 85. 17 Calculate the greatest c...
{ "pile_set_name": "DM Mathematics" }
- 15*a**2 - 5*a - 140. Determine 5*j(v) + 12*y(v). -11434*v**3 Suppose -131*j + 35 = 5*u - 129*j, 4*j - 45 = -5*u. Let f(q) = 6*q**2 - 3*q - 3. Let l(y) = 13*y**2 - 5*y - 5. Calculate u*f(w) - 3*l(w). -9*w**2 Suppose -4*q + 19 = c, -5*c - q + 32 = -6. Let d(y) = 3*y + 1. Let m(r) = -6*r - 2. What is c*d(j) + 4*m(j)? -...
{ "pile_set_name": "DM Mathematics" }
git of 255699? 9 What is the units digit of 810039? 9 What is the hundred thousands digit of 6745929? 7 What is the ten thousands digit of 339368? 3 What is the ten thousands digit of 46849? 4 What is the tens digit of 1965588? 8 What is the tens digit of 4031534? 3 What is the hundreds digit of 2455609? 6 What is the ...
{ "pile_set_name": "DM Mathematics" }
of 6845? 4 What is the units digit of 2217? 7 What is the thousands digit of 26823? 6 What is the tens digit of 46405? 0 What is the tens digit of 21744? 4 What is the tens digit of 17488? 8 What is the tens digit of 615? 1 What is the units digit of 98796? 6 What is the tens digit of 853? 5 What is the tens digit of ...
{ "pile_set_name": "DM Mathematics" }
jluu. Give prob of sequence ql. 5/272 Four letters picked without replacement from lknclndcfkff. Give prob of sequence cncd. 1/2970 What is prob of sequence hhh when three letters picked without replacement from {h: 4}? 1 What is prob of sequence ad when two letters picked without replacement from {a: 2, i: 4, j: 8, d:...
{ "pile_set_name": "DM Mathematics" }
Suppose -5*f = -8*f + m. What is the second derivative of -5*z + z**2 - f*z + 5*z**2 - 4*z wrt z? 12 Let v(j) = -j**3 + j**2 + j - 1. Let o(w) = 5*w**2 - 34*w**3 + 24*w + 0 + 1 - 6. Let f(p) = o(p) - 5*v(p). Find the second derivative of f(i) wrt i. -174*i Let i(s) be the first derivative of -s**8/168 - 3*s**4/8 + 4*s...
{ "pile_set_name": "DM Mathematics" }
/3 - 3082*c. Give i(b(m)). -14964*m Let o(u) = -3808430*u**2. Let j(c) = -200*c. What is o(j(b))? -152337200000*b**2 Let z(a) = 14*a**2. Let w(t) = 22*t - 19*t - 21*t - 2*t - 23*t. Give z(w(y)). 25886*y**2 Let v(j) = 16*j. Let c(x) = 10*x**2 - 398053*x. Determine c(v(z)). 2560*z**2 - 6368848*z Let s(m) = 1 - 8 - m + 7....
{ "pile_set_name": "DM Mathematics" }
-22153512*u + 6 What is the first derivative of 6*o**2*t + 20*o**2 - 119*o*t - 25*o + 85802460*t wrt o? 12*o*t + 40*o - 119*t - 25 Differentiate 554857893*b*y - 208666740*y with respect to b. 554857893*y What is the derivative of v**3*y - 7855677*v**3 + 4*v**2*y - 11*v*y + 28607*y - 5 wrt y? v**3 + 4*v**2 - 11*v + 286...
{ "pile_set_name": "DM Mathematics" }
ut replacement from ummmmmum? 1/28 Four letters picked without replacement from fdkddffdffkffdkk. What is prob of sequence kfkd? 1/104 Calculate prob of sequence tkcw when four letters picked without replacement from kcwkcctwwk. 3/560 What is prob of sequence rru when three letters picked without replacement from {r: 4...
{ "pile_set_name": "DM Mathematics" }
38 even? True Is 252 a factor of 2111760? True Does 380 divide 299251? False Is 160 a factor of 619008? False Does 151 divide 4016724? False Is 75 a factor of 2666625? True Is 20608413 a multiple of 1319? False Does 766 divide 14251430? True Is 3570251 a multiple of 65? False Is 61693 a multiple of 80? False Is 4303909...
{ "pile_set_name": "DM Mathematics" }
0. Suppose 0 = -d*a - a + 87. What are the prime factors of a? 29 Let y be (-58)/(-18) + 10/(-45). Suppose y*w + 4*x = 243, 0*x = 2*w - 5*x - 162. What are the prime factors of w? 3 Suppose 2*y = -8 + 6. Let d(n) = 30*n**2 + 2*n + 1. What are the prime factors of d(y)? 29 Let s(c) = 56*c. Let p be s(6). Suppose -228 =...
{ "pile_set_name": "DM Mathematics" }
125934257? 1 What is the ten thousands digit of 8047939? 4 What is the units digit of 1238417745? 5 What is the hundreds digit of 28267853? 8 What is the hundred thousands digit of 61360103? 3 What is the billions digit of 5108132094? 5 What is the ten thousands digit of 622888963? 8 What is the ten thousands digit of ...
{ "pile_set_name": "DM Mathematics" }