instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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"Preparing NOJ
Navi Friendships
1000ms 65536K
Description:
On Pandora all Navi are connected by friendships. After carefully mapping friendships between different
Navi, Grace wants to measure the strength of the connectio... | Graph Theory is a branch of mathematics that studies graphs, which are mathematical structures used to model pairwise relationships between objects. A graph is made up of vertices (also called nodes) and edges, where edges represent connections between vertices. In the context of the given text snippet, Navi are repre... | ibivibiv/math_instruct | |
Determine g, given that -12 + 18*g - 24*g**2 + 4 + 21*g**2 - 7 = 0.\n | 1, 5\n | ibivibiv/math_instruct | |
b"What is the nth term of 94, 116, 136, 154, 170, 184, 196?\n" | -n**2 + 25*n + 70\n | ibivibiv/math_instruct | |
Suppose -2*h = -8*h + 126. What is the highest common divisor of h and 231?\n | 21\n | ibivibiv/math_instruct | |
What comes next: -33415, -129471, -289575, -513733, -801951, -1154235, -1570591?\n | -2051025\n | ibivibiv/math_instruct | |
What is 32571185 to the power of 1/2, to the nearest integer?\n | 5707\n | ibivibiv/math_instruct | |
Let l(j) = 3*j + 30. Let x be l(-9). Suppose 2*s = -2*u - 0 - 2, 0 = -2*u + 4*s + 16. Solve -x*k = u*k - 15 for k.\n | 3\n | ibivibiv/math_instruct | |
Four letters picked without replacement from ydyyyyaayyyadadtadt. Give prob of picking 2 a and 2 d.\n | 5/323\n | ibivibiv/math_instruct | |
b"What is the oth term of -2864, -2865, -2866, -2867, -2868?\n" | -o - 2863\n | ibivibiv/math_instruct | |
Let d be (-4 + -25)/(-1 - 0). Suppose -4*x + 4*k = x - 89, 0 = -x - 2*k + 29. Let f = d - x. Calculate the remainder when f is divided by 3.\n | 2\n | ibivibiv/math_instruct | |
Let v = 2415 - 834. What are the prime factors of v?\n | 3, 17, 31\n | ibivibiv/math_instruct | |
What is 77160 to the power of 1/3, to the nearest integer?\n | 43\n | ibivibiv/math_instruct | |
Sort 1, -2, -0.1 in increasing order.\n | -2, -0.1, 1\n | ibivibiv/math_instruct | |
Let u(r) = 7*r**2 + 59*r + 121. Give u(-11).\n | 319\n | ibivibiv/math_instruct | |
Round 5.59624 to one dp.\n | 5.6\n | ibivibiv/math_instruct | |
What is the tens digit of 10*-1 - (150 + -1654)?\n | 9\n | ibivibiv/math_instruct | |
What is the units digit of 7747?\n | 7\n | ibivibiv/math_instruct | |
Is 67 a factor of 736598?\n | True\n | ibivibiv/math_instruct | |
Does -2189362 = -2189261?\n | False\n | ibivibiv/math_instruct | |
What is the next term in -2303, -2127, -1949, -1769?\n | -1587\n | ibivibiv/math_instruct | |
Let j(n) = 5*n**2 + 15*n + 15. Calculate j(-5).\n | 65\n | ibivibiv/math_instruct | |
Simplify (s/(s/(s**0*s)))**(-9/10)/(s**(2/3)/s)**15 assuming s is positive.\n | s**(41/10)\n | ibivibiv/math_instruct | |
Let z = -1964 + 2018. Calculate the remainder when 912 is divided by z.\n | 48\n | ibivibiv/math_instruct | |
What is ((-4)/30*3)/((11178/2511)/69)?\n | -31/5\n | ibivibiv/math_instruct | |
What is the millions digit of 22299879?\n | 2\n | ibivibiv/math_instruct | |
Let n = 26 - 26. Let v(q) = -q**3 - q**2 - 2*q + 13. Let a be v(n). Solve 0 = -l + 3*d - a, -d - d + 8 = 0 for l.\n | -1\n | ibivibiv/math_instruct | |
Expand (3*g + 2 - g + 0*g)*(3 + 2 - 7)*(-2*g + 6*g + 3*g).\n | -28*g**2 - 28*g\n | ibivibiv/math_instruct | |
Suppose 0 = 2*u - 207 + 193. Find the first derivative of -155 + u*g**4 - 56*g**4 - 55*g**4 wrt g.\n | -416*g**3\n | ibivibiv/math_instruct | |
Let i = 4.3 - 7.3. Let g be (-2)/7 + 2/56. Suppose -2 = -4*j + 10. Which is the closest to g? (a) -4 (b) j (c) i\n | c\n | ibivibiv/math_instruct | |
What is the millions digit of 1489629340?\n | 9\n | ibivibiv/math_instruct | |
What is the derivative of 3*v**3 - 130?\n | 9*v**2\n | ibivibiv/math_instruct | |
Suppose -v = 4*v - 15. Suppose 255 = -v*n - 105. Let w be 6/(-4)*n/36. Solve 2*j - 2*r = 5*j + 3, -j - 18 = -w*r for j.\n | -3\n | ibivibiv/math_instruct | |
Let m be 2 + (-61 - 2)/(-3). Suppose 0 = 4*l - 2*t - 24, -m = -4*l + 3*t + 3. Let x = l - 2. Is x composite?\n | False\n | ibivibiv/math_instruct | |
b"What is the cth term of 40102, 40122, 40156, 40204, 40266?\n" | 7*c**2 - c + 40096\n | ibivibiv/math_instruct | |
What is -224 (base 15) in base 4?\n | -13210\n | ibivibiv/math_instruct | |
Is 146115537 a multiple of 105?\n | False\n | ibivibiv/math_instruct | |
Simplify ((sqrt(500) - (0 + sqrt(500) + 0 + sqrt(500) + sqrt(500))) + 1 + sqrt(500) + -2 + sqrt(500))**2.\n | 1\n | ibivibiv/math_instruct | |
Let p be (240/70)/(-6) + (-120)/(-14). Solve 5*u = -3*z + 24, z + 0 = 5*u + p for u.\n | 0\n | ibivibiv/math_instruct | |
In base 15, what is 2616d + -a30?\n | 2563d\n | ibivibiv/math_instruct | |
How many minutes are there between 10:04 PM and 11:47 PM?\n | 103\n | ibivibiv/math_instruct | |
Let n = -10 - -22. Suppose 5 = -n*z + 13*z. What are the prime factors of z?\n | 5\n | ibivibiv/math_instruct | |
Are 19329 and 19329 non-equal?\n | False\n | ibivibiv/math_instruct | |
Let a = -17.897 - -19.897. Let s = 6.7 - -2.3. What is the closest to 2/9 in 0.5, s, a?\n | 0.5\n | ibivibiv/math_instruct | |
Solve w = 5*d, -5*d - w + 15 = 10*w - 9*w for d.\n | 1\n | ibivibiv/math_instruct | |
Let s(w) = -w**3 + 2*w**2 - 7. Let b(a) = a**3 - 2*a**2 + 8. Suppose 70 = -0*v + 10*v. What is v*s(g) + 6*b(g)?\n | -g**3 + 2*g**2 - 1\n | ibivibiv/math_instruct | |
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"Server Error
Server Not Reachable.
This may be due to your internet connection or the nubtrek server is offline.
Thought-Process to Discover Knowledge
Welcome to nubtrek.
Books and other education websites provide "matte... | Identity refers to the equality of two expressions, where the left and right hand sides are identical. This concept is fundamental in mathematics, particularly in algebra, where equations often involve expressing one quantity in terms of another using identities.
At Nubtrek, our approach goes beyond merely providing ... | ibivibiv/math_instruct | |
Is 91884917 composite?\n | False\n | ibivibiv/math_instruct | |
Let n(i) be the second derivative of -7*i**5/20 + 47*i**4/24 + i**3 + 23*i. Let u(m) be the second derivative of n(m). Differentiate u(g) with respect to g.\n | -42\n | ibivibiv/math_instruct | |
Let y = 1.19 - -104.81. Let t = y - 106.000215. What is t rounded to five dps?\n | -0.00022\n | ibivibiv/math_instruct | |
416 divided by 9\n | 416/9\n | ibivibiv/math_instruct | |
Suppose -4445 = 4*h - 9*h. Is h a composite number?\n | True\n | ibivibiv/math_instruct | |
What is the derivative of -1169133*g + 1169133*g - 1331*g**3 + 815 wrt g?\n | -3993*g**2\n | ibivibiv/math_instruct | |
Find the common denominator of 18/73 and 11/8.\n | 584\n | ibivibiv/math_instruct | |
Calculate the remainder when 2566813 is divided by 37200.\n | 13\n | ibivibiv/math_instruct | |
Factor 5*z**2 + 1182440*z + 69908217680.\n | 5*(z + 118244)**2\n | ibivibiv/math_instruct | |
Sort 1.6, -0.2, -18.\n | -18, -0.2, 1.6\n | ibivibiv/math_instruct | |
List the prime factors of 1150530567.\n | 3, 383510189\n | ibivibiv/math_instruct | |
Let z = 8074/5 + -1607. Let y be 1 + (1 + 2 - 3). Calculate the common denominator of z and y/4 - ((-3432)/(-544) - 8).\n | 85\n | ibivibiv/math_instruct | |
Find b, given that -8*b**5 - 21700*b**4 - 688232*b**3 - 5431428*b**2 - 16346664*b - 16983648 = 0.\n | -5361/2, -22, -4, -3\n | ibivibiv/math_instruct | |
b"What is the xth term of -6404, -6569, -7116, -8267, -10244, -13269?\n" | -37*x**3 + 31*x**2 + x - 6399\n | ibivibiv/math_instruct | |
Does 15 divide 5908635?\n | True\n | ibivibiv/math_instruct | |
What is thirteen quarters of a milligram in micrograms?\n | 3250\n | ibivibiv/math_instruct | |
What is -82.138 rounded to one decimal place?\n | -82.1\n | ibivibiv/math_instruct | |
Let c(l) be the first derivative of 3*l**2/2 + 493*l - 945. Let h(j) = 2*j. What is c(h(b))?\n | 6*b + 493\n | ibivibiv/math_instruct | |
What is the product of -0.1 and -284940?\n | 28494\n | ibivibiv/math_instruct | |
Which is bigger: -3252 or -3259?\n | -3252\n | ibivibiv/math_instruct | |
Let c(r) = -4*r + 3*r + 4*r. Let z(h) be the first derivative of -5*h**4/24 - 11*h**2 - 9. Let f(d) be the second derivative of z(d). Give c(f(v)).\n | -15*v\n | ibivibiv/math_instruct | |
Collect the terms in -1711 + 1404*c - 1694 + 3405.\n | 1404*c\n | ibivibiv/math_instruct | |
What is the nearest to -1/2 in 3, 0.1, 0.36?\n | 0.1\n | ibivibiv/math_instruct | |
How many minutes are there between 1:57 AM and 5:11 AM?\n | 194\n | ibivibiv/math_instruct | |
Let j = -76 + 128. Let s = j + -262/5. Let o be 3/63*(-1386)/297. What is the third biggest value in -5, o, s?\n | -5\n | ibivibiv/math_instruct | |
-3 (base 14) to base 4\n | -3\n | ibivibiv/math_instruct | |
What is 244 minutes after 7:55 PM?\n | 11:59 PM\n | ibivibiv/math_instruct | |
Solve -237*x + 5*j + 276 = -471*x + 236*x, 4*x + 3*j + 10*j + 690 = 0 for x.\n | 3\n | ibivibiv/math_instruct | |
Express 3*l**2 + 4 + 0*l**2 + 999*l**3 + 5 - 1057*l**3 in the form y*l + h*l**3 + u + r*l**2 and give u.\n | 9\n | ibivibiv/math_instruct | |
Suppose 0 = -3*h - a + 317, -5*h + 190 = 3*a - 337. Let w = 697 + h. What are the prime factors of w?\n | 11, 73\n | ibivibiv/math_instruct | |
A person with some money spends1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel.He is left with Rs 100/- How much did he have with him in the beginning ?
Answer Choices: (A) 150 (B) 200 (C) 250 (D) 270 (E) 280 | Lets solve the multi-choice question step by step.
x/3+ 2x/15 + 8x/60 + 100 = x
x/3 + 4x/15 = x-100
3x= 5x - 500
x = 250
The answer is C | ibivibiv/math_instruct | |
Suppose -6*a + 30 = -11*a. Find the common denominator of (a/10)/(28/(-77)) and -21/8.\n | 40\n | ibivibiv/math_instruct | |
Solve -120*l**5 + 110086*l**4 + 68424*l**3 - 451360*l**2 - 271776*l + 44064 = 0.\n | -2, -3/4, 2/15, 2, 918\n | ibivibiv/math_instruct | |
Suppose -4 = h, 5*h = 3*j - 14 - 15. Suppose -2*u - 6 = 2*s, -u - j*s = -6*u + 17. Let a be u*6/4*24/9. Solve 6 = -w + a for w.\n | -2\n | ibivibiv/math_instruct | |
What is the first derivative of 195*p*z + 16*z - 1 wrt p?\n | 195*z\n | ibivibiv/math_instruct | |
Suppose 9*q = 13*q - 12. What is the least common multiple of 9 and q?\n | 9\n | ibivibiv/math_instruct | |
Express 635 + 3*u - 15*u**2 - 635 in the form b + f*u + i*u**2 and give i.\n | -15\n | ibivibiv/math_instruct | |
32 + -227 + -20 + 132\n | -83\n | ibivibiv/math_instruct | |
Let l = 147 + 133. Let r(v) = 144*v - v**2 + 141*v - 2 - 3 - l*v. Calculate r(4).\n | -1\n | ibivibiv/math_instruct | |
What comes next: -106047906, -212095814, -318143722, -424191630, -530239538, -636287446?\n | -742335354\n | ibivibiv/math_instruct | |
Suppose 0 = n + 1 - 3. Sort n, 4, -24 in decreasing order.\n | 4, n, -24\n | ibivibiv/math_instruct | |
Round 0.0005759545091 to four dps.\n | 0.0006\n | ibivibiv/math_instruct | |
Suppose -4*l + 4*j + 40 = 12, -2*l - j = -26. Calculate the highest common factor of 1 and l.\n | 1\n | ibivibiv/math_instruct | |
Which is the nearest to -0.097? (a) 40 (b) 2/9 (c) 0\n | c\n | ibivibiv/math_instruct | |
What is the thousands digit of 774669?\n | 4\n | ibivibiv/math_instruct | |
Let k be (-3 - -2)*(896/266 - -5). Which is bigger: -8 or k?\n | -8\n | ibivibiv/math_instruct | |
Product of -4 and 2.999.\n | -11.996\n | ibivibiv/math_instruct | |
Express 6*i**2 + 11*i**3 + 5*i**2 + 7*i**3 - 10*i**2 as n + c*i + p*i**3 + j*i**2 and give j.\n | 1\n | ibivibiv/math_instruct | |
Expand (2*u**2 - 9 + 9)*(-8*u - 2 + 2).\n | -16*u**3\n | ibivibiv/math_instruct | |
What is prob of sequence zcj when three letters picked without replacement from {z: 1, c: 2, j: 1}?\n | 1/12\n | ibivibiv/math_instruct | |
Simplify ((j**(-3)/j)**(-32))**(-4/15)*(j*j**(-2/3))**(3/14)/((j/(j**3*j)*j)/(j/j**(5/4))) assuming j is positive.\n | j**(-13571/420)\n | ibivibiv/math_instruct | |
Collect the terms in 36*d + 34*d + 59*d + 31*d - 158*d.\n | 2*d\n | ibivibiv/math_instruct | |
Simplify (u**(-4)*u)**(-36) assuming u is positive.\n | u**108\n | ibivibiv/math_instruct | |
What is next in -83540, -166415, -249290, -332165, -415040?\n | -497915\n | ibivibiv/math_instruct |
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