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v**(1/3))/((v/(v*v**0))/v)))**30 assuming v is positive. v**(-62) Simplify (d*d/d**(-8/9)*d*d/(d/((d**(5/7)/d)/d))*d)/(d**(-1))**(-2/39) assuming d is positive. d**(2909/819) Simplify ((g/(g**(-2/25)/g)*g)/(g/(g**3/g)))/(g*g**(-4)/g*g/((g*g**(2/17)*g)/g)) assuming g is positive. g**(3484/425) Simplify (r**(-3))**(1/51)...
{ "pile_set_name": "DM Mathematics" }
without replacement from lullululul. What is prob of sequence uuul? 1/35 Three letters picked without replacement from {t: 11, f: 1, d: 1, c: 4}. Give prob of sequence dtt. 11/408 Two letters picked without replacement from bbhb. Give prob of sequence hb. 1/4 Four letters picked without replacement from bifipsjs. Give...
{ "pile_set_name": "DM Mathematics" }
et r = -24 - -38. Let i(z) = -z**3 + 14*z**2 + z + 1. List the prime factors of i(r). 3, 5 Suppose -3*f = 2*y - 67, 4*f + y + 2*y = 88. Suppose -4*m = 3*v - f, v + 3 - 2 = 0. Suppose 5*r + m = 47. What are the prime factors of r? 2 Suppose -3*k + g + 111 = -4*g, 0 = 3*k + g - 93. List the prime factors of k. 2 What are...
{ "pile_set_name": "DM Mathematics" }
w - 4, -3*w = 4*y + 9. Sort 3, r, w in decreasing order. 3, w, r Let p(x) = 2*x**3 - 3*x**2 + 3*x - 3. Let f be p(2). Suppose -4*w = 1 - 13. Sort w, -5, f. -5, w, f Let f = -9 - -6. Sort 2, f, 2/5 in descending order. 2, 2/5, f Let g = -1 - -1. Let o = g + -0.3. Sort 0.5, 1, o in descending order. 1, 0.5, o Let c(q) = ...
{ "pile_set_name": "DM Mathematics" }
three letters picked without replacement from gtfhgtfufffhtffttu. 7/1224 Four letters picked without replacement from {s: 3, h: 7, a: 1, v: 2, g: 7}. Give prob of sequence ahvh. 7/9690 Two letters picked without replacement from yylllgyggyyz. Give prob of sequence yz. 5/132 Four letters picked without replacement from...
{ "pile_set_name": "DM Mathematics" }
2, 3 Let j = 409 - 283. What are the prime factors of j? 2, 3, 7 Let d = -10 + 12. Suppose -n + d = -19. List the prime factors of n. 3, 7 Suppose 0 = 8*u - 5*u - 69. What are the prime factors of u? 23 Suppose 2*r = 2 + 6. Let u(q) = -r*q**3 + 5*q**2 + 5*q**3 - 4*q - 3*q. What are the prime factors of u(-6)? 2, 3 Let...
{ "pile_set_name": "DM Mathematics" }
is -0.0002242 rounded to five dps? -0.00022 Round -19247 to the nearest one hundred. -19200 What is -541 rounded to the nearest 100? -500 Round 1583.26 to the nearest ten. 1580 Round 7075.5 to the nearest one thousand. 7000 Round -247000 to the nearest one hundred thousand. -200000 Round -842.42 to the nearest one hun...
{ "pile_set_name": "DM Mathematics" }
3152)? 5/13 Calculate -13*(-26)/12168*(-6)/(-105)*-14. -1/45 Calculate (((-4)/18)/(47/423))/(-61). 2/61 Evaluate (126/56)/(13/(4992/(-1368))). -12/19 What is the value of (-14)/(((-2891)/49)/177)? 42 Calculate (6*(-3)/72)/(((-4)/(-182))/(232/203)). -13 What is (2304/1080)/((-272)/(-2380))? 56/3 What is the value of ((-...
{ "pile_set_name": "DM Mathematics" }
e second derivative of 2*j**3/3 + 31*j**2/2 + 2*j. Let q(c) = 104*c - 119*c + 12*c. Calculate q(a(y)). -12*y - 93 Let l = -144 + 240. Suppose -l = -t - 5*t. Let p(q) = -13*q**2 - t*q**2 + 25*q**2. Let o(u) = 4*u**2. What is p(o(m))? -64*m**4 Let r(j) = j**2. Let p(z) = 30*z**2 - 33*z - 432. Calculate p(r(i)). 30*i**4 -...
{ "pile_set_name": "DM Mathematics" }
Put -564, -4, 5, 2, -3, 315 in decreasing order. 315, 5, 2, -3, -4, -564 Sort 5, -10, -5, -32 in decreasing order. 5, -5, -10, -32 Sort -2, -4, 4, 14663 in increasing order. -4, -2, 4, 14663 Sort -1, 2, -3, 1, 1831 in decreasing order. 1831, 2, 1, -1, -3 Sort 3, 10481, -14 in ascending order. -14, 3, 10481 Sort 25, -1...
{ "pile_set_name": "DM Mathematics" }
. Suppose -7*f = -3*f + 8. Let m(c) = -2*c. What is f*d(q) - 3*m(q)? 2*q**2 + 2*q + 2 Let g(j) = -j + 1. Let o(w) = -6*w + 18. What is 8*g(r) - o(r)? -2*r - 10 Let t(q) = -1 - q - 3 + 4. Suppose -5*w + 13 = 4*f, 32 = 4*w - f - 3*f. Suppose -w*x - 30 = -5. Let z(k) = -6*k + 1. What is x*t(a) + z(a)? -a + 1 Let b(r) = 2*...
{ "pile_set_name": "DM Mathematics" }
the f'th term of 12857, 9901, 4973, -1927? -986*f**2 + 2*f + 13841 What is the h'th term of -698751, -1397611, -2096471, -2795331? -698860*h + 109 What is the m'th term of 1360, 3637, 5914, 8191? 2277*m - 917 What is the l'th term of -23856, -23905, -24036, -24291, -24712, -25341, -26220? -7*l**3 + l**2 - 3*l - 23847 ...
{ "pile_set_name": "DM Mathematics" }
on divisor of n and q. 5 Suppose -2668 = 106*c - 28108. What is the highest common factor of c and 912? 48 Suppose -11*g + 208 = -3*g. Suppose m + 6 = g. Calculate the greatest common divisor of 50 and m. 10 Let k be (24/(-20))/(4/(-10)). Suppose -k*d = -5*d - 28. Let i = -13 - d. What is the highest common divisor of ...
{ "pile_set_name": "DM Mathematics" }
x be 5 - 0 - (-17 - 6570/(-195)). Which is greater: x or -12? x Let r be 141/48 - 1 - 2. Let i = -9/16 - r. Which is smaller: i or 1/6? i Let s(o) = -2*o**2 + 22*o - 37. Let a be s(9). Are a and 23/62 unequal? True Let w = 3 - 9. Let i(f) = f**2 + 5*f - 9. Let c be i(2). Let b = c + w. Is b bigger than 0.01? False Let ...
{ "pile_set_name": "DM Mathematics" }
of 2 and 89668. 2 What is the greatest common factor of 179 and 266531? 179 Calculate the greatest common factor of 63322 and 98. 14 Calculate the greatest common divisor of 106 and 97308. 106 What is the highest common factor of 83 and 30959? 83 What is the greatest common divisor of 954 and 160? 2 What is the greate...
{ "pile_set_name": "DM Mathematics" }
e (-51)/2 - 3/(-6). Suppose 0 = -c + 4*c + 2*o - 82, -4*o = -5*c + 122. Let f = h + c. Solve f = -2*t + p, 7 = -2*t + 2*p + p for t. 1 Let w(g) = 3*g**2 + 4*g. Let f be w(-5). Suppose -f - 13 = -4*q - 4*d, -8 = q - 4*d. Let x = 3 + -1. Solve 0 = -b - 5, -z - z - x*b - q = 0 for z. -1 Let y be ((-3)/6 - (-69)/15) + (-13...
{ "pile_set_name": "DM Mathematics" }
973. What is d rounded to four decimal places? -0.0027 Let t = 9286560 - 9290683.3652. Let x = -4096.3652105 - t. Let z = x - 27. What is z rounded to 6 dps? -0.000011 Let o = 1462.2 + -1462.19990831. What is o rounded to four dps? 0.0001 Let s be ((-999)/74)/(6/(-4)). Suppose -150999985 = 5*y + 5*x, -s*y + 120799997 =...
{ "pile_set_name": "DM Mathematics" }
974 = -3309*n. What is the units digit of n? 7 Suppose -2*o - 51 = -5*g, 12 = -3*o - o. Let x(k) be the second derivative of -k**5/20 + 3*k**4/4 + k**3/2 + 11*k**2/2 - 405*k. What is the tens digit of x(g)? 3 Let y(f) = -f**3 + 78*f**2 + 59*f - 875. What is the ten thousands digit of y(42)? 6 What is the units digit of...
{ "pile_set_name": "DM Mathematics" }
ggest value in 13, -2/9, -1/4? -1/4 What is the second smallest value in 2, -0.2, 33, -6, 4? -0.2 What is the fourth smallest value in -0.6, -1, -0.1, -0.09? -0.09 What is the smallest value in 1/10, 0.55, 0.5, 1? 1/10 Which is the second biggest value? (a) 0.038 (b) -0.4 (c) -4/3 b Which is the third biggest value?...
{ "pile_set_name": "DM Mathematics" }
t is prob of picking 2 k and 1 f when three letters picked without replacement from afwqk? 0 Three letters picked without replacement from {n: 7, j: 4, p: 3}. What is prob of picking 1 j and 2 n? 3/13 What is prob of picking 2 d when two letters picked without replacement from {l: 4, x: 4, d: 2, z: 1, f: 3}? 1/91 Four ...
{ "pile_set_name": "DM Mathematics" }
*t**2 + 0*t + 0*t. What is the units digit of z(n)? 2 Suppose -45*b + 6080 = -7*b. Let n(f) = -3*f - 1. Let g be n(-2). Suppose 0 = 4*v - v - z - 92, -g*z - b = -5*v. What is the units digit of v? 0 Suppose -17 = k - x, -3*x = 5*k - x + 113. Let n = k - -83. What is the tens digit of n? 6 Let c(s) = -s**3 + 3*s**2 + 3*...
{ "pile_set_name": "DM Mathematics" }
89, 187697, 187717, 187749? 6*w**2 - 10*w + 187693 What is the n'th term of 129575, 259557, 389535, 519509, 649479, 779445, 909407? -2*n**2 + 129988*n - 411 What is the s'th term of 34270623, 34270615, 34270607, 34270599, 34270591, 34270583? -8*s + 34270631 What is the y'th term of -9330, -9431, -9600, -9837, -10142? -...
{ "pile_set_name": "DM Mathematics" }
14, s - 2*m = -o*s. Sort 5, 2, s in increasing order. s, 2, 5 Let z = -1145/133 + 61/7. Sort z, 5, -5/2 in ascending order. -5/2, z, 5 Let n be (-8)/(-12) - (-169)/39. Put -0.2, n, -1/2 in descending order. n, -0.2, -1/2 Let y be ((-2)/(-3))/((-1)/(-3)). Let l = -18 + 22. Let w = 242 - 241.7. Put y, l, w in decreasing ...
{ "pile_set_name": "DM Mathematics" }
j(g). 220 Let r be 9/(-18) + 402/4. Suppose -3*o = l - 25, 4*l = -0*l + 5*o + r. Let z = -1/281 + 12933/1967. Calculate the common denominator of l and z. 7 Let u(z) = -z**2 - 21*z - 30. Let q = -67 - -73. What is the least common multiple of u(-19) and q? 24 Let v = 1432/45 - 182/9. Find the common denominator of v a...
{ "pile_set_name": "DM Mathematics" }
square root of 134465 to the nearest integer? 367 What is the sixth root of 436468 to the nearest integer? 9 What is the eighth root of 143907 to the nearest integer? 4 What is the fifth root of 41289632 to the nearest integer? 33 What is the eighth root of 3122456 to the nearest integer? 6 What is 3651058 to the powe...
{ "pile_set_name": "DM Mathematics" }
/10)/(112/(-39200)*30). 49 620/(-93)*(-2)/5*1/16*-12 -2 Calculate ((-10017)/441)/(9/(-126)*6). 53 What is ((-133)/133)/(18/(-594))? 33 Calculate (((-15)/(-6))/((-648)/(-96)))/(2*5/12). 4/9 Evaluate (3/45)/(69/(-345))*276/299. -4/13 (330/99)/(534/9)*16/40 2/89 What is the value of -6*1*5*(-1)/(-30)*722/(-38)? 19 Evaluat...
{ "pile_set_name": "DM Mathematics" }
21? 21 What is the nearest to -0.12 in 2/5, 0.3, -10, -1, 202? 0.3 Which is the closest to -1104.588? (a) -0.5 (b) 3 (c) 5 a Which is the nearest to 0.04? (a) 7 (b) -0.3 (c) 2 (d) -5 (e) 1/12 e Which is the closest to -420? (a) -2 (b) 2 (c) -0.2 (d) 1/3 a Which is the nearest to -1? (a) 39 (b) 0.1 (c) 11...
{ "pile_set_name": "DM Mathematics" }
3*z + 2*z - 25 = 0. Suppose u - 3*k = 5, -u - 3*u + z*k + 6 = 0. What are the prime factors of (-1 - u) + (-18)/(-3)? 2, 3 Let d(n) = n**3 - 12*n**2 - 13*n + 3. Let q be d(13). Suppose p - 29 = 2*c - c, -5*c - 77 = -q*p. What are the prime factors of p? 2, 17 Let f(o) = -o**3 + 6*o**2 + o - 6. Let a be f(5). Let b = 34...
{ "pile_set_name": "DM Mathematics" }
1 b and 1 n when two letters picked without replacement from {w: 2, e: 4, n: 2, b: 1, l: 7, d: 4}. 1/95 Two letters picked without replacement from {e: 4, l: 2}. What is prob of picking 2 l? 1/15 Calculate prob of picking 1 d, 1 c, and 1 r when three letters picked without replacement from {a: 3, r: 2, c: 2, h: 4, d: ...
{ "pile_set_name": "DM Mathematics" }
-21182? y**3 + y**2 - 89*y - 20887 What is the k'th term of -187, -351, -493, -601, -663, -667, -601, -453? 2*k**3 - k**2 - 175*k - 13 What is the m'th term of 2780, 2978, 3176, 3374, 3572? 198*m + 2582 What is the o'th term of 23, -391, -1535, -3775, -7477? -61*o**3 + o**2 + 10*o + 73 What is the r'th term of 99, 178,...
{ "pile_set_name": "DM Mathematics" }
ch is the nearest to -2/51? (a) 1 (b) -8 (c) -2/19 (d) 13 c What is the nearest to -0.1 in 3/2, 2/265, 0? 0 Which is the closest to -0.2? (a) -2/5 (b) -506 (c) 3/25 (d) -1/7 (e) 5 d Which is the nearest to 2.4? (a) 6 (b) 0.14 (c) 0 b What is the closest to 1/3 in -1, 0, 298? 0 Which is the nearest to -64? ...
{ "pile_set_name": "DM Mathematics" }
4. Determine y(-3). -25 Let m(f) = 7*f + 238. Calculate m(-35). -7 Let u(y) = -2*y**3 + 11*y**2 + 2*y - 19. Calculate u(5). 16 Let p(u) = 11*u + 4. Calculate p(5). 59 Let w(p) = -p**2 + 4*p - 5. Give w(3). -2 Let n(x) = x**2 - 3*x - 17. Give n(5). -7 Let r(c) = -3*c - 35. Determine r(-14). 7 Let h(f) = 2*f**2 - 52*f -...
{ "pile_set_name": "DM Mathematics" }
ommon multiple of t and 20. 20 Let t = -11 - -15. Suppose -3*q + t = -5*q, 0 = 4*p + q - 10. Calculate the least common multiple of 5 and p. 15 Let f(x) = -x**2 + 4*x + 15. Calculate the smallest common multiple of f(5) and 1. 10 Suppose 5*n + 17 = 197. What is the lowest common multiple of 36 and n? 36 Suppose 0 = 4*k...
{ "pile_set_name": "DM Mathematics" }
17, 34*l + 24 = -k + 29*l + 26*l for k. -3 Solve 4*y + 7*b - 20 + 3 = 0, -10 = -6*y + 4*y - 6*b + 2*b for y. -1 Solve -5*r = -f - 12, -24061*r - 3 = -4*f - 24058*r for f. 3 Solve -429*a + 430*a + 3*r + 3 = -2*r, 2*a - 5*r - 9 = 0 for a. 2 Solve -164*k + 161*k - j + 405 - 417 = 0, 5*j = 5*k for k. -3 Solve l - 2 = -114...
{ "pile_set_name": "DM Mathematics" }
2. Put u, -3, -1 in decreasing order. u, -1, -3 Suppose 0 = -5*s - 5*h, 3*h = -2*s - 0*h + 3. Let m = 0.06 + -0.46. Put s, 12, m in decreasing order. 12, m, s Suppose -5*o + 4*n = -12, -2*o - n = 3*o - 22. Sort 2, -3, 39, o. -3, 2, o, 39 Let y be (-203)/232*8/12*6. Sort 2, y, -4. -4, y, 2 Let k(a) = a**2 - a - 4. Let s...
{ "pile_set_name": "DM Mathematics" }
2330100 Let g(w) be the third derivative of -w**4/12 + 7231*w**2. Let h(v) = 514*v. Give h(g(c)). -1028*c Suppose -48 = -6*z + 72. Suppose 2*a = -3*f, 4*f + a - z = 5*a. Let l(q) = -5*q**f + 2*q - 2*q + q**2. Let h(w) = -2*w. What is l(h(d))? -16*d**2 Let v(i) be the first derivative of -i**4/12 - 25*i**2 + 112. Let g(...
{ "pile_set_name": "DM Mathematics" }
the nearest integer? 656 What is 2001265 to the power of 1/5, to the nearest integer? 18 What is 49717 to the power of 1/2, to the nearest integer? 223 What is 232318 to the power of 1/2, to the nearest integer? 482 What is the sixth root of 75792 to the nearest integer? 7 What is 383322 to the power of 1/8, to the nea...
{ "pile_set_name": "DM Mathematics" }
. Let z be q(-5). Let c(b) = b**2 + b + 1. Let g(t) = -10*t**2 - 11*t - 11. Let u be (2 - (-3)/(-6))/((-36)/(-528)). What is u*c(m) + z*g(m)? 2*m**2 Suppose 30 = s - 6*s. Let r(k) = k**2 + 3*k - 3. Let c(b) be the first derivative of 2*b**3/3 + 5*b**2/2 - 5*b - 27. Calculate s*c(i) + 10*r(i). -2*i**2 Let h = 16 + -12. ...
{ "pile_set_name": "DM Mathematics" }
h or 433/8? 433/8 Suppose 1 - 2 = q. Let a(f) be the third derivative of -f**5/60 - 7*f**4/24 - f**3/6 + 11*f**2. Let b be a(-7). Is q at most b? True Suppose 4*t + c - 21 = 6*c, -t = 4*c. Suppose p + 5*k = 17, t*k - 11 = -2*p + 11. Which is greater: 0 or p? p Let v be (-3)/4*-209 + 15/(-20). Which is bigger: 157 or v...
{ "pile_set_name": "DM Mathematics" }
- 7*x**3 - 53. Suppose v = b, 2*v = -2*b + 7*v - 15. Give b*z(a) - 4*j(a). -2*a**3 + a - 2 Let x(y) = -2*y**3 + 2*y - 2. Let z(f) = 7*f - 4. Let d(s) = -2*s + 1. Let n(h) = -3*d(h) - z(h). Give -4*n(q) - 2*x(q). 4*q**3 Let r(n) = 10*n + 4. Suppose -233*j = -244*j - 22. Let g(w) = -9*w - 3. What is j*r(u) - 3*g(u)? 7*u ...
{ "pile_set_name": "DM Mathematics" }
1)). Let a = 3062 + t. Is a a composite number? True Suppose -3*v + 165804 = -8*v + 1403869. Is v a prime number? True Suppose 3*q - a = 7, 3*q - 5*a - 2 = -15. Suppose q*o + 34635 = 19*o. Is o prime? True Let g(h) = h. Let v(x) = 118*x. Let u(b) = 118*g(b) - 2*v(b). Let q be u(-3). Suppose d - q = -5*d. Is d a composi...
{ "pile_set_name": "DM Mathematics" }
*p = -41, -g - g - 3*p = -7. What are the prime factors of g? 2 Let t be (-9)/(-7) + (-4)/14. Let a(y) = 9*y - 1. Let h be a(t). Suppose -5*x + f = -24, -5*f = 2*x - f + h. What are the prime factors of x? 2 Suppose -2*n - 3*n + 2*c = -16, -3*n - 4*c = 6. Suppose -g - n = -2*g. What are the prime factors of 63/6 - 1/g?...
{ "pile_set_name": "DM Mathematics" }
20 PM How many minutes are there between 5:52 PM and 12:03 AM? 371 What is 353 minutes after 11:40 AM? 5:33 PM How many minutes are there between 9:12 PM and 8:56 AM? 704 How many minutes are there between 4:34 PM and 4:04 AM? 690 How many minutes are there between 3:05 PM and 1:14 AM? 609 How many minutes are there be...
{ "pile_set_name": "DM Mathematics" }
0.4, -161, -4? -0.4 What is the closest to -1 in -4, -5, 17? -4 What is the nearest to 22 in 0, 0.3, 2/15, -0.5? 0.3 What is the closest to 1 in -1.3, -5, 0? 0 What is the nearest to -1 in 0, 0.1, 1? 0 What is the closest to 1 in 1.8, 1, -54? 1 What is the closest to 0.1 in 3/8, -0.12, 4? -0.12 Which is the nearest to ...
{ "pile_set_name": "DM Mathematics" }
e -1 + 13 = -4*z. Let w(s) = 4*s. Let y be w(-1). Which is the nearest to 1? (a) 0.5 (b) z (c) y a Let o = 31 - 32. Which is the nearest to -1? (a) -3 (b) o (c) -0.1 b Let q(c) = c**3 - 9*c**2 - 9*c - 9. Suppose 52 = 5*r + x, 0*r - 2*x - 6 = -r. Let t be q(r). What is the closest to t in -4, 3, 0.2? 0.2 Suppose 0...
{ "pile_set_name": "DM Mathematics" }
(c) -1 b Let z = 25.31 - 0.31. Let u = z + -30. What is the closest to 2 in -0.1, u, -1/5? -0.1 Let d be -4*(12/(-112))/(3/2). Let m = -435/2 - -217. Suppose -4*r = -6*r - 10. Which is the nearest to 1? (a) r (b) d (c) m b Let n = 67 + -69. Which is the nearest to 0? (a) 0.2 (b) n (c) 5 a Let a = 38.9 + -39.2. Wh...
{ "pile_set_name": "DM Mathematics" }
is p rounded to three dps? 0.003 Let r = 7 + -6.7. Let o = 0 - r. Let s = o + 0.2992. Round s to three decimal places. -0.001 Suppose 0 = h - 29556 - 73444. Round h to the nearest 10000. 100000 Let f = 27 + -27.000015. What is f rounded to 6 decimal places? -0.000015 Let o = 4.08 - 3. Round o to 1 decimal place. 1.1 L...
{ "pile_set_name": "DM Mathematics" }
sqrt(4617))/(-5*sqrt(30)/sqrt(90)))**2. 443232/25 Simplify ((sqrt(68)*1 + sqrt(68))*5)/((sqrt(176)/sqrt(4))/sqrt(11)) - (-1 + (sqrt(68) - (sqrt(68) + 0 + -4)))**2. -9 + 10*sqrt(17) Simplify ((2*sqrt(720)*1 + sqrt(720) + 4)*6)**2*-4. -935424 - 41472*sqrt(5) Simplify (sqrt(136) + 1*(sqrt(136) - (sqrt(136) + (sqrt(136) + ...
{ "pile_set_name": "DM Mathematics" }
of 7? True Is 3468 a multiple of 34? True Is 100 a factor of 900? True Is 5 a factor of 2020? True Is 10605 a multiple of 15? True Is 14292 a multiple of 12? True Is 2784 a multiple of 71? False Is 12 a factor of 660? True Is 1470 a multiple of 14? True Does 5 divide 78? False Is 12 a factor of 28764? True Does 35 divi...
{ "pile_set_name": "DM Mathematics" }
= 1 + 4 - 4. Let u(y) = -2*y**2 + 6. What is n*u(f) + x*t(f)? 2*f**2 - 2 Let w(r) = -47*r + 2. Suppose 715 = 10*o + 3*o + 42*o. Let m(p) = 23*p - 1. Determine o*m(a) + 6*w(a). 17*a - 1 Let f be (8/(-18))/2 + 146/657. Let n(d) = -4 + 9*d**3 - 2*d + f*d - 143*d**2 + 139*d**2 + 6*d. Let y(c) = -c**3 + c**2 - c + 1. Calcul...
{ "pile_set_name": "DM Mathematics" }
? -538833 What is next in -298, -432, -772, -1420, -2478, -4048, -6232, -9132? -12850 What is the next term in -164639, -163990, -163341, -162692, -162043? -161394 What is next in 80584, 80572, 80538, 80476, 80380? 80244 What is the next term in 2815, 6356, 12251, 20500, 31103, 44060? 59371 What is the next term in -67...
{ "pile_set_name": "DM Mathematics" }
12)/2. Let x(k) = 6*k**2 - 6*k - 36. Let m be x(-2). Solve -s + 0 + p = m for s. 5 Suppose 3*z + 5*d = -22 + 59, d = 4*z - 11. Suppose 4*h - 4 = 2*f + z, 3*f - 24 = -3*h. Solve f*i = i for i. 0 Let b be (-2709)/(-252) - (-11)/(-4). Solve b*v + 2 = 42 for v. 5 Let c(n) = -n**3 + 14*n**2 - 15*n + 39. Let m be c(13). Sol...
{ "pile_set_name": "DM Mathematics" }
k**3/3 + 3*k**2 - k - 8. What is h(f)? 7 Let f(d) be the second derivative of -1/6*d**3 + 0 + 10*d + 1/2*d**2. Let y = 3 - -3. What is f(y)? -5 Let i(r) = r**2 - r. Let g(j) = -3*j**2 - 2*j + 6. Let x(f) = -g(f) - 4*i(f). Let u(l) = 2*l**3 + l**2 - 7*l - 1. Let c be u(2). What is x(c)? -1 Let z be ((-14)/105)/(((-2)/2)...
{ "pile_set_name": "DM Mathematics" }
Let v(r) = 15*r**2 + 5*r + 3. Suppose 5*f - 3*p + 18 = 1, 4*f + 11 = 5*p. Is v(f) a composite number? False Let g(j) = -238*j + 135. Is g(-16) prime? True Let s(p) = -10*p + 5*p**3 + 3*p - 3*p**2 - 4*p**3 - 4. Let w be s(6). Suppose -5*l = -3*l - w. Is l composite? False Suppose 20*b - 23*b = -12. Suppose 2*d = -4*k +...
{ "pile_set_name": "DM Mathematics" }
(i - 1)*(i + 1)/3 Let v(b) = -b**3 - 7*b**2 + 3. Let c be v(-7). Factor -m**3 + c*m**3 - m**3 + m - 2*m**2. m*(m - 1)**2 Let f(o) = 2*o**2 + 2*o + 2. Let w(y) be the second derivative of y**3/6 - 8*y. Let d(k) = -2*f(k) + 12*w(k). Factor d(u). -4*(u - 1)**2 Let u be 345/138 - 2/4. Let -5/2*i**3 + 1 + 0*i**4 + 1/4*i**5 ...
{ "pile_set_name": "DM Mathematics" }
or of 41/176 and 123/80. 880 Find the common denominator of 89/408 and 97/476. 2856 Calculate the common denominator of 44 and -51/151. 151 Calculate the common denominator of -95/378 and -71/108. 756 Calculate the lowest common multiple of 1140 and 14. 7980 What is the lowest common multiple of 77 and 98? 1078 What is...
{ "pile_set_name": "DM Mathematics" }
p = 2*a + 10. Let n be (-9)/(-3) + a - -3. Let h(q) = -2*q**2 + q + 2. What is h(n)? -8 Let l(x) = x**3 + 3*x**2 - 7*x - 6. Let c(i) be the third derivative of i**4/12 + 5*i**3/3 + 3*i**2. Let v be c(-7). Calculate l(v). 6 Let p be (-1 - -1) + 0 + 9. Let j(t) = -11*t + 17*t + 6 - p*t. Let f(o) = -o + 8. Let d be f(4). ...
{ "pile_set_name": "DM Mathematics" }
8/15 What is prob of picking 2 u when two letters picked without replacement from {u: 12, h: 3}? 22/35 Four letters picked without replacement from {q: 3, n: 1, s: 4}. What is prob of picking 2 s, 1 q, and 1 n? 9/35 What is prob of picking 4 p when four letters picked without replacement from opkpopkpooookkok? 1/1820 C...
{ "pile_set_name": "DM Mathematics" }
*(2/11)*s*s))*s/(s*s/s**(-5)) assuming s is positive. s**(-1312/165) Simplify (q*q**7/q)/((q**(-15)*q)/q*q) assuming q is positive. q**21 Simplify c**(-1/10)/(c/(c/c**(-5)))*(c/(c*c**(-2)*c))/c**(-1/4) assuming c is positive. c**(123/20) Simplify v**(-1/4)*v**(1/59) assuming v is positive. v**(-55/236) Simplify (t**1)*...
{ "pile_set_name": "DM Mathematics" }
. p, -1/5, 0.7 Let h(u) = u**2 - 7*u + 3. Suppose a + 0 = 7. Let w be h(a). Let v(c) = 4*c - 1. Let x be v(-1). Sort -3, w, x. x, -3, w Suppose 3*x - 3 = -0. Let b be (-10)/(-6) - 1/x. Put -2, -5, b in increasing order. -5, -2, b Let n = 0.165 - 1.155. Let k = -0.01 + n. Let w = k + 0.6. Sort 4, w, -5 in increasing ord...
{ "pile_set_name": "DM Mathematics" }
- y. Let c = r - -55.9999929. What is c rounded to 6 decimal places? -0.000007 Let g = -1.62459698 + 0.32459408. Let z = -1.3 - g. Round z to 6 dps. 0.000003 Let u = -31761903.19999956 + 31761904. Let s = 0.8 - u. Round s to seven decimal places. -0.0000004 Let g = 39.59 + -0.59. Let j = -8714258.99979 - -8714298. Let ...
{ "pile_set_name": "DM Mathematics" }
4*s - 54. Let t(i) = -6*n(i) + v(i). Calculate t(-2). 8 Let g(o) = o**3 - 3*o**2 - 5*o + 7. Suppose -4*z = 5*a, 6*a - 4*a - 33 = 5*z. Determine g(a). 3 Let g(j) be the first derivative of 35*j**4/4 + j**3/3 + j**2/2 + 101. What is g(-1)? -35 Let q(h) be the first derivative of -h**3/3 - 11*h**2/2 + 11*h - 90. What is ...
{ "pile_set_name": "DM Mathematics" }
= 73 - -78. Suppose 0 = -y*q + 152*q - 51. Calculate the greatest common divisor of q and 544. 17 Let t(i) = -16*i + 2681. Let m be t(-88). What is the greatest common divisor of 94 and m? 47 Let k(d) be the first derivative of d**4/4 - 10*d**3/3 + 14*d + 86. Let z be k(10). What is the greatest common factor of z and ...
{ "pile_set_name": "DM Mathematics" }
t(10))/((sqrt(14) + 1*sqrt(224))/sqrt(7)) + -2 + -3. -12*sqrt(17)/5 - 5 Simplify (((sqrt(1872) - (sqrt(1872) + 4 + 3)) + -5*(sqrt(1872) + 1 + sqrt(1872)))*-6)**2*3. 311040*sqrt(13) + 20233152 Simplify 5 + (3*((sqrt(95) + sqrt(95)*-3*4)/sqrt(5) + 4 + 5) + -2)**2. -1650*sqrt(19) + 21321 Simplify ((sqrt(54) - sqrt(378)/sq...
{ "pile_set_name": "DM Mathematics" }
arest to -0.1? (a) t (b) m (c) 0.2 c Let t = -139 - -1253/9. Let n = 3 - 2. Which is the closest to n? (a) -5 (b) t (c) 0 b Let m = 2 - -1. Let r be (-3)/m*-1 - -2. Let d be 1 + (-1)/7 + -1. What is the closest to 1/3 in 0.5, r, d? 0.5 Let v = 37 + -36.7. Which is the closest to -0.1? (a) 3 (b) 2 (c) v c Let q...
{ "pile_set_name": "DM Mathematics" }
*2 + 8*w + 9. Let o be l(8). Suppose 2*x + x - 2*z = 52, -19 = -x + z. Calculate the common denominator of -73/2 and ((-6)/o)/(2/x). 6 Let x be ((-21)/994)/((-108)/5393). Let u = -1/1704 - x. What is the common denominator of 23/48 and u? 144 Let c(k) = k**3 - 9*k**2 - 9*k. Suppose -g + 3*g = 5*x + 25, -x + 49 = 5*g. W...
{ "pile_set_name": "DM Mathematics" }
Let f be (p + -10)/((-2)/2). Find the first derivative of -d + 6*d - f - 6 - 19*d wrt d. -14 Let w(n) be the first derivative of 19*n**3/2 + 21*n**2 - 16*n - 4. Let x(g) be the first derivative of w(g). What is the derivative of x(q) wrt q? 57 What is the first derivative of 13*v**2 + 274 - 9*v**3 + 222 - 172 + 401 - 1...
{ "pile_set_name": "DM Mathematics" }
t common multiple of l(-36) and 20. 380 Suppose -2*d + 3*s = -2726, 3*s + 9663 = 9*d - 2583. Calculate the smallest common multiple of d and 272. 1360 Let s be 6/120*5 - 245/4. Let d = -53 - s. Suppose 2*y + 3*g - 1 = 6, -g = 2*y - 5. Calculate the lowest common multiple of y and d. 8 Let k be (3/(-10))/(18/(-42778)). ...
{ "pile_set_name": "DM Mathematics" }
is divided by 152. 79 What is the remainder when 366260243 is divided by 541? 538 Calculate the remainder when 13907735 is divided by 6953857. 21 What is the remainder when 2251668 is divided by 1556? 136 Calculate the remainder when 100055003 is divided by 4002200. 3 What is the remainder when 5860548 is divided by 1...
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {s: 7, i: 4, r: 6}? 7/170 Four letters picked without replacement from ggvgvtvgvgvgvttttgv. Give prob of sequence vvgg. 49/2584 Calculate prob of sequence xok when three letters picked without replacement from ouqxoaxqk. 1/126 Two letters picked without replacement from ziygmic....
{ "pile_set_name": "DM Mathematics" }
5)/35. Let d = 1169 - 1166. Solve -6/17*s**4 + 0 - q*s**d + 4/17*s + 2/17*s**2 = 0. -1, 0, 2/3 Let x be ((-1)/(-2) + -1)*3*(-88)/66. Determine g, given that -9/2*g + 1/2*g**x + 4 = 0. 1, 8 Suppose -6*v + 11*v - 35 = 5*b, -3*b = 5*v - 19. Suppose n + 2 = -3*m, 0 = 3*n - v*n + 4*m + 16. Factor 1/3*q**n + 1/3*q**2 + q - q...
{ "pile_set_name": "DM Mathematics" }
derivative of t**5/20 + t**4 - 5*t**3/2 - 13*t**2/2 - 2*t. Let p be w(-12). Let y = p - 110. List the prime factors of y. 3, 19 Let y = -110 - -112. Suppose 369 + 528 = 3*x + 3*m, 3*x + y*m - 892 = 0. List the prime factors of x. 2, 3, 7 Let a = -688 + -1033. Let t = a - -2768. What are the prime factors of t? 3, 349 L...
{ "pile_set_name": "DM Mathematics" }
t replacement from {q: 2, t: 3}. Give prob of sequence ttqt. 1/10 Calculate prob of sequence ej when two letters picked without replacement from jeeeeeje. 3/14 What is prob of sequence ag when two letters picked without replacement from {g: 3, a: 3}? 3/10 Two letters picked without replacement from kydndnw. Give prob o...
{ "pile_set_name": "DM Mathematics" }
+ 1896816. 3*(g + 2)**2*(g + 158068) Find r, given that -r**3/9 + 434*r**2/9 + 9911*r/9 + 18392/3 = 0. -11, 456 Factor -4*v**2 - 77760*v - 377913600. -4*(v + 9720)**2 Factor -4*t**2/9 - 7424*t/9 - 1648. -4*(t + 2)*(t + 1854)/9 Determine g so that g**5/7 + 1614*g**4/7 + 1612*g**3/7 - 1614*g**2/7 - 1613*g/7 = 0. -1613, -...
{ "pile_set_name": "DM Mathematics" }
the x'th term of 14, 37, 62, 89, 118, 149, 182? x**2 + 20*x - 7 What is the y'th term of 1407, 2814, 4221, 5628? 1407*y What is the s'th term of -18, -16, 6, 60, 158, 312, 534, 836? 2*s**3 - 2*s**2 - 6*s - 12 What is the d'th term of 14, 13, 10, 5, -2, -11, -22? -d**2 + 2*d + 13 What is the d'th term of -43, -78, -113...
{ "pile_set_name": "DM Mathematics" }
6 to the nearest 1000. 2000 What is -0.0832776 rounded to two decimal places? -0.08 What is -0.0000074236249 rounded to six dps? -0.000007 What is -85413.85 rounded to the nearest ten thousand? -90000 Round 121.52999 to the nearest 10. 120 What is -1117.9299 rounded to the nearest 100? -1100 Round 0.17828 to two dps. 0...
{ "pile_set_name": "DM Mathematics" }
13*t - 3. Determine 4*y(v) + 5*z(v). 9*v - 3 Let p(t) = 3177*t**3 - 11*t**2 + 11*t. Let w(l) = 636*l**3 - 2*l**2 + 2*l. Determine -2*p(r) + 11*w(r). 642*r**3 Let s(k) = -k - 1. Suppose -3*u + 2*u = -1. Let r(m) = 8*m + 3. Let p(h) = h. Let q(d) = u*r(d) - 5*p(d). Calculate q(j) + 2*s(j). j + 1 Let a = -3 - -1. Let p(l)...
{ "pile_set_name": "DM Mathematics" }
ing order. -1/6, -2/13, 2/875 Put -5, -1, -2/39, -1/8 in descending order. -2/39, -1/8, -1, -5 Put 2, -3, 11, 315, -2 in decreasing order. 315, 11, 2, -2, -3 Sort -1, 1, 3, -2 in increasing order. -2, -1, 1, 3 Sort 0, 1, -4, -430, 5. -430, -4, 0, 1, 5 Put 2, -0.5, 2/13, -0.4, -2/3 in ascending order. -2/3, -0.5, -0.4, ...
{ "pile_set_name": "DM Mathematics" }
, 144508, 225866? 9044*a**2 - 38*a - 44 What is the y'th term of 10140, 9459, 8324, 6735, 4692? -227*y**2 + 10367 What is the f'th term of -16382, -16516, -16650? -134*f - 16248 What is the q'th term of 1271986, 1271219, 1270452, 1269685? -767*q + 1272753 What is the d'th term of -44524, -178320, -401318, -713518, -111...
{ "pile_set_name": "DM Mathematics" }
e 4*v + 12 = 3*q, 3 = q + 4*q - v. Solve q = -c + 6 - 5 for c. 1 Let b = -15 - -21. Solve -5*o + 2*o = b for o. -2 Let d be (-4)/8 - (-13)/(-2). Let b = 11 + d. Solve -7*g + 9 = -b*g for g. 3 Let r be (-10)/(-4)*18/15. Let f = 1 - 1. Solve f = g - 0 + r for g. -3 Let d be 1/1 - 0/1. Let s = -3 + 5. Suppose -4*x + 4 = -...
{ "pile_set_name": "DM Mathematics" }
0 minutes before 10:05 PM? 11:05 AM What is 253 minutes before 1:54 PM? 9:41 AM How many minutes are there between 12:24 PM and 12:33 PM? 9 What is 488 minutes before 1:30 PM? 5:22 AM How many minutes are there between 8:54 PM and 7:19 AM? 625 How many minutes are there between 10:45 PM and 8:02 AM? 557 What is 432 min...
{ "pile_set_name": "DM Mathematics" }
4. Let z be c(-4). Solve -5 = -5*y, -p + 3*y = 5 - z for p. 4 Let x = -273 - -278. Solve -x*b + 4*f = 30, 5*b = -3*f + f for b. -2 Let p(v) = -4*v - 23. Let c be p(-6). Let y be -1*c - (7 - 12). Solve 5*d + g + 50 = -y*g, 0 = -5*d + 5*g for d. -5 Let r be -1*1*27*-1. Suppose 4*w - r = -7. Solve 5*a = -5*s - 10, w = -5*...
{ "pile_set_name": "DM Mathematics" }
**2 - 32*f = 0. 0, 8/33 Let 5*i**4 + 25*i**3 + 25*i**2 - 25*i - 30 = 0. What is i? -3, -2, -1, 1 Factor p**2 - 10*p + 16. (p - 8)*(p - 2) Let -a**2/4 - 130*a = 0. Calculate a. -520, 0 Solve -4*q**2 - 60*q + 136 = 0. -17, 2 Factor 5*l**3 - 380*l**2 - 1205*l + 1580. 5*(l - 79)*(l - 1)*(l + 4) Determine g, given that -4*g...
{ "pile_set_name": "DM Mathematics" }
*b**2 Expand (-314 - 10 - 46)*(o - 2*o - o)*(-2*o**2 + 5*o**2 + o**2). 2960*o**3 Expand (52 + 3 + 5)*(-d + 60 - 60 + (5*d - 2*d - d)*(1 - 1 + 2) + 5*d - 1 + 3*d - 2*d). 540*d - 60 Expand -s**4 + 2*s**4 - 3*s**4 + (0*s**2 + s**2 + 0*s**2 + (26*s + 5*s + s)*(4*s - 4*s - s))*(0*s**2 - s**2 - s**2) - 2*s**4 + 2*s**4 + 2*s*...
{ "pile_set_name": "DM Mathematics" }
-5/14 and (14/10)/(72/60)? 42 Let c(i) = -i**3 - i**2 - i + 1. Let v(z) = 5*z**3 + 9*z**2 + 6*z - 3. Let g(q) = 6*c(q) + v(q). What is the smallest common multiple of g(3) and 9? 9 Suppose 7*f = 4*f + 12. Let u(n) be the third derivative of n**6/120 - n**5/20 - 5*n**4/24 + n**3 + 2*n**2. Calculate the least common mul...
{ "pile_set_name": "DM Mathematics" }
(-40454/1575) Simplify (a**(-43)*a)**(-4)*(a*a**(4/9)/a)/a**(4/23) assuming a is positive. a**(34832/207) Simplify i**(-6)/i*i/(i**(3/16)/i)*(i/i**(-9/4)*i)/(i/((i**(15/11)*i)/i*i*i)) assuming i is positive. i**(251/176) Simplify (d**(-6)*d/((d/(d**15/d))/d))**(-7/6)*d/((d*d**3*d)/d)*d**(-3)*((d/(d/((((d**(-9)/d)/d*d)/...
{ "pile_set_name": "DM Mathematics" }
z, 1/8 in increasing order. -1/10, 1/8, z Suppose 5*f + 23 - 38 = 5*d, -d = 0. Sort 1, 10, f, -4 in ascending order. -4, 1, f, 10 Let i(t) = t + 2. Let x be i(0). Suppose 0 = -3*g - 2*l + 17, 2*g - x*l - 19 = g. Let u be (2/6)/(g/27). Sort u, 5, 0.5 in descending order. 5, u, 0.5 Let m be (-4)/(8/(-2))*3. Suppose -5*j...
{ "pile_set_name": "DM Mathematics" }
-3*(-10)/(-45)). -3 Calculate ((-2)/10)/((78/6)/(-13)). 1/5 Calculate 2/(-28)*1*130/65. -1/7 What is the value of (6/15)/((16/10)/4)? 1 Calculate -3*9*(-12)/(-540). -3/5 ((-27)/(-99))/(2/(8/2)) 6/11 Evaluate (2/(-6))/((-14)/(-42)). -1 Calculate ((-225)/25)/((2/2)/1). -9 Evaluate ((-14)/(-12))/(-7)*8*-6. 8 What is the v...
{ "pile_set_name": "DM Mathematics" }
2297446 -52297444.9 Total of -3156.02 and 0.037. -3155.983 What is 24 plus 0.788742? 24.788742 Calculate -1.8979 - 21.43. -23.3279 Work out -0.0688079082 - 65. -65.0688079082 What is the distance between 23049085 and 0.12? 23049084.88 What is -1392545 - 315? -1392860 Total of -147 and -106049. -106196 What is -277058.4...
{ "pile_set_name": "DM Mathematics" }
-9, 26, 2 in increasing order. -9, -5, 2, 26 Sort -5, -39, -1 in increasing order. -39, -5, -1 Sort -4, 3, -330. -330, -4, 3 Sort 4, -5, 0, -63 in increasing order. -63, -5, 0, 4 Put 1/5, 0.5, 0.3, 30, 0.4 in increasing order. 1/5, 0.3, 0.4, 0.5, 30 Put 2, -1, 3, 1, -21 in descending order. 3, 2, 1, -1, -21 Put 1, 2/7...
{ "pile_set_name": "DM Mathematics" }
2*p**6 + d**2*p**2 - 6*d*p**6 + 36330*d*p**2 wrt p? -182280*d**2*p**3 - 720*d*p**3 What is the second derivative of -6*g**3*q - 213727*g**2*q**2 + 2*g*q**2 + 7*g*q + 962*g + 2*q**2 wrt g? -36*g*q - 427454*q**2 What is the third derivative of -770734*h**3 + 765*h**2 - 223*h? -4624404 Find the third derivative of 21271*s...
{ "pile_set_name": "DM Mathematics" }
5*k + 2*k - k - 6292 + k - 4*k. 3*k - 6292 Collect the terms in -615*d**2 - 18 + 33*d - 38 + 57 - 72*d + 39*d. -615*d**2 + 1 Collect the terms in -79118851573*o + 79118851573*o + 6*o**3. 6*o**3 Collect the terms in 3172 + 686*k**3 - 650*k**3 - 3172. 36*k**3 Collect the terms in -158130*t + 19295*t - 8081*t. -146916*t C...
{ "pile_set_name": "DM Mathematics" }
0. Solve 6 = -5*n + s*m, 0 = -4*n + n + 3*m - 6 for n. 2 Let j be (-1)/2 + (-28)/(-8). Solve 3*c = -3*h - 6, j*h - 5*c - 6 = 12 for h. 1 Suppose 73*w + 60 = 79*w. Solve 2*q + 4 - w = k, -2*k + 2 = 3*q for q. 2 Let r(i) = 3*i**3 + 2*i**2 - 1. Let j be r(1). Suppose -4*w = -3*y - y - 64, 24 = 2*w - j*y. Solve 3*n = -3*d ...
{ "pile_set_name": "DM Mathematics" }
-1 + 1)*1. Suppose u = 6*q - 2 + 20. Let d(m) = -m + 3. What are the prime factors of d(q)? 2, 3 Let w(z) = -z**2 + 98. Let x be w(0). Suppose x + 1 = 3*c. List the prime factors of c. 3, 11 Suppose 0*h = -6*h. Suppose -4*f + 0 + 100 = h. What are the prime factors of f? 5 Let i = -15 + 29. Let k = -11 - -8. Let c = i ...
{ "pile_set_name": "DM Mathematics" }
34 What is the h'th term of 3309874, 6619756, 9929638, 13239520? 3309882*h - 8 What is the y'th term of 21842, 21476, 21106, 20732, 20354, 19972, 19586? -2*y**2 - 360*y + 22204 What is the v'th term of -43397, -173644, -390713, -694592, -1085269, -1562732, -2126969? 2*v**3 - 43423*v**2 + 8*v + 16 What is the v'th term ...
{ "pile_set_name": "DM Mathematics" }
t is next in -333, -1458, -3373, -6078, -9573, -13858? -18933 What is the next term in -104944, -104935, -104926, -104917? -104908 What is next in -157325, -157322, -157319, -157316, -157313, -157310? -157307 What is next in 770, 788, 818, 860? 914 What comes next: 837, 1644, 2445, 3234, 4005, 4752? 5469 What is the ne...
{ "pile_set_name": "DM Mathematics" }
iply 0.23 and -99. -22.77 -3 * -63 189 0.0688 * -3 -0.2064 -1.19*-0.1 0.119 Multiply -97.9 and -2. 195.8 Product of 3 and -120. -360 Work out -0.1 * -2.11. 0.211 What is -0.37 times -0.066? 0.02442 -2*0.21 -0.42 Product of -1989 and 0.1. -198.9 -0.1*-221 22.1 0.084 * -6 -0.504 Multiply -0.004 and 0.05. -0.0002 3.5 * -1...
{ "pile_set_name": "DM Mathematics" }
320*n + 1468 - 3570 + 60*n**2 = 0. What is n? -3, 15 Let s(t) = -t**3 + t**2 - t + 5. Let g be s(0). Suppose -14 = -2*r - g*d, 2*r - 2*d - 10 = 4. Solve r*m + 2*m + 16*m**2 + m - 21*m**2 = 0 for m. 0, 2 What is m in 2458*m**3 - 714 + 42*m**2 - 5450*m**2 - 98*m**3 + 24980*m**4 + 14*m**5 - 25306*m**4 - 86 + 4160*m = 0? 2...
{ "pile_set_name": "DM Mathematics" }
when 18 is divided by p. 0 Suppose -k + 5*x + 22 = 2*k, 2*k - 16 = 2*x. Calculate the remainder when (-3)/(-2*(-1)/(-46)) is divided by k. 6 Suppose 2*j = 5*y - 679, 4*y + 3*j - 545 = 4*j. Calculate the remainder when y is divided by 31. 13 Let y = -522 - -777. Calculate the remainder when y is divided by 65. 60 Let r(...
{ "pile_set_name": "DM Mathematics" }
r z(b). 3*b**2*(b - 2)*(b + 1)**2/4 Find u, given that 1/7*u**2 + 5/7 - 6/7*u = 0. 1, 5 Let j(v) be the first derivative of 16 + 0*v**2 + 0*v - 14/25*v**5 - 8/15*v**3 + 11/10*v**4. Factor j(x). -2*x**2*(x - 1)*(7*x - 4)/5 Factor -1/4*x**2 + 27/2*x - 53/4. -(x - 53)*(x - 1)/4 Let m(i) be the third derivative of -i**8/15...
{ "pile_set_name": "DM Mathematics" }