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Four letters picked without replacement from {r: 1, s: 7, c: 10, u: 2}. What is prob of picking 1 c, 2 s, and 1 r?\n
14/323\n
ibivibiv/math_instruct
How many micrograms are there in one quarter of a milligram?\n
250\n
ibivibiv/math_instruct
Simplify (w*w**27*w*w)/w*w**(3/11)*(w/(w/((w*w/w**5)/w*w)))**(10/3) assuming w is positive.\n
w**(212/11)\n
ibivibiv/math_instruct
Let n = 248 - 171. Let b = n - 58. Let v = 68 - 11. What is the greatest common divisor of b and v?\n
19\n
ibivibiv/math_instruct
Let p be ((-3)/2)/((-6)/(-4 + 16)). Let f(d) = -d**2 + d + 1. Let a(z) = 8*z**2 - 4*z + 6. Let t(c) = p*a(c) + 12*f(c). What is the derivative of t(s) wrt s?\n
24*s\n
ibivibiv/math_instruct
Convert 37 (base 9) to base 2.\n
100010\n
ibivibiv/math_instruct
Suppose 2*w - 2*j = 26, -w - 4*j + 11 = -7*j. Solve -4*c - 6 = w for c.\n
-5\n
ibivibiv/math_instruct
Which is the biggest value? (a) -22 (b) 62/285 (c) 761\n
c\n
ibivibiv/math_instruct
Put 5, -7, 197 in ascending order.\n
-7, 5, 197\n
ibivibiv/math_instruct
Is 16 a factor of 38114?\n
False\n
ibivibiv/math_instruct
What is the units digit of 4305?\n
5\n
ibivibiv/math_instruct
Calculate the highest common factor of 19 and 66329.\n
19\n
ibivibiv/math_instruct
What is the tens digit of 27647?\n
4\n
ibivibiv/math_instruct
What is the hundred thousands digit of 545924627?\n
9\n
ibivibiv/math_instruct
b"What is the zth term of -118, -572, -1338, -2422, -3830?\n"
-z**3 - 150*z**2 + 3*z + 30\n
ibivibiv/math_instruct
Let d(o) = 97*o. Let p(z) = -5*z. Determine d(p(q)).\n
-485*q\n
ibivibiv/math_instruct
What is the highest common divisor of 76940 and 160?\n
20\n
ibivibiv/math_instruct
Simon and Peter have a big stamp collection. Simon collects red stamps and Peter collects white stamps. Simon has 30 red stamps and Peter has 80 white stamps. If the red stamps are then sold for 50 cents each and the white stamps are sold for 20 cents each, what is the difference in the amount of money they make in dol...
Simon has 30 red stamps, so he makes 30 * $0.50 = $15 from selling his red stamps. Peter has 80 white stamps, so he makes 80 * $0.20 = $16 from selling his white stamps. The difference in the amount of money they make is $16 - $15 = $1. #### 1 The answer is: 1
ibivibiv/math_instruct
What is (-3 + (-1 - -2) - -1) + -3?\n
-4\n
ibivibiv/math_instruct
Calculate -0.02*56371861.\n
-1127437.22\n
ibivibiv/math_instruct
Let x(b) = 2*b - 1. Let d be x(3). Let t be (-14)/(-170) - ((-248)/(-40) - 6). What is the third smallest value in -3, d, t, -2?\n
t\n
ibivibiv/math_instruct
Round -0.3941586 to one dp.\n
-0.4\n
ibivibiv/math_instruct
Suppose 4*a = 5*a - 151. What is the tens digit of a?\n
5\n
ibivibiv/math_instruct
Which is the nearest to -0.3? (a) 0 (b) -1298 (c) -1/3 (d) -0.4\n
c\n
ibivibiv/math_instruct
Express 504 - s**3 - s - s**3 + 5*s**3 - 504 in the form w*s**3 + j*s**2 + i*s + x and give j.\n
0\n
ibivibiv/math_instruct
Let k(g) = g - 2. Let r be k(5). Suppose -4*o = -2*i + 2, -o + 0*o - 5 = -5*i. Let f = i + r. List the prime factors of f.\n
2\n
ibivibiv/math_instruct
Let h be (2/(-16))/(12/(-173532)). Let z = h + -1811. Calculate the common denominator of -11/2 and z.\n
8\n
ibivibiv/math_instruct
Suppose -1/2*b**5 - 4*b**4 + 128*b**2 - 512*b + 24*b**3 + 0 = 0. Calculate b.\n
-8, 0, 4\n
ibivibiv/math_instruct
Let l be (69/2)/(3/30). Suppose -l = v - 6*v. Is v prime?\n
False\n
ibivibiv/math_instruct
Is 990/(24/20*(-20)/(-16)) a multiple of 20?\n
True\n
ibivibiv/math_instruct
Let c = 698 - 676. What is the highest common factor of c and 473?\n
11\n
ibivibiv/math_instruct
Let w(o) = o**3 - 6*o**2 - 43*o + 208. Calculate w(4).\n
4\n
ibivibiv/math_instruct
Round 2.7156 to one dp.\n
2.7\n
ibivibiv/math_instruct
Evaluate 1 + -7 - (-1 - 1 - 4).\n
0\n
ibivibiv/math_instruct
What is the ninth root of 3113 to the nearest integer?\n
2\n
ibivibiv/math_instruct
Let w = 176 + -163. What are the prime factors of w?\n
13\n
ibivibiv/math_instruct
Let k = 8 + -6. Suppose -1 = n - 5*i, -3*i - 7 = k. What is the remainder when 4/n - 106/(-8) is divided by 5?\n
3\n
ibivibiv/math_instruct
Let q be (-7 + 98/(-4))*-2. Suppose -44*u = -q*u + 380. What is the remainder when u is divided by 13?\n
7\n
ibivibiv/math_instruct
Simplify sqrt(119)/((sqrt(700) - -3*sqrt(700)) + sqrt(700) + sqrt(700)) - ((sqrt(153)*-2)/sqrt(9) + 0).\n
121*sqrt(17)/60\n
ibivibiv/math_instruct
Is 907297 a prime number?\n
True\n
ibivibiv/math_instruct
Let a(i) = -i**2 - 22*i + 2. Let w be a(-22). Let s(y) = 15*y**w + 60776 - 60776. Let j(g) = -2*g**2. Calculate j(s(b)).\n
-450*b**4\n
ibivibiv/math_instruct
What is the hundred thousands digit of 3643401?\n
6\n
ibivibiv/math_instruct
Calculate the remainder when 245 is divided by 45.\n
20\n
ibivibiv/math_instruct
What is the next term in -4532, -18611, -42082, -74945, -117200, -168847?\n
-229886\n
ibivibiv/math_instruct
Alyssa has 37 blue balloons , Sandy has 28 blue balloons , and Sally has 39 blue balloons . How many blue balloons do they have in all ?
To find the total number of blue balloons they have in all, you simply need to add up the number of balloons each person has: Alyssa's balloons: 37 Sandy's balloons: 28 Sally's balloons: 39 Total number of blue balloons = 37 + 28 + 39 Now, lets do the math: 37 + 28 = 65 65 + 39 = 104 So, Alyssa, Sandy, and Sally h...
ibivibiv/math_instruct
Express (0*u**2 - 3*u**2 + u**2)*(-6 + 0 + 0)*(-4 + 2 + 3 + 6 + 6 + 0 + 0 + 4 - 1 + (-2 + 3 - 3)*(2 + 3 - 4)) as n*u**2 + m*u + c and give n.\n
168\n
ibivibiv/math_instruct
List the prime factors of 656077.\n
656077\n
ibivibiv/math_instruct
Total of -1.687988950647 and -0.4.\n
-2.087988950647\n
ibivibiv/math_instruct
Simplify ((c/c**(-1/10))/(c/(c/c**1)))/(c**(-1))**(-38) assuming c is positive.\n
c**(-379/10)\n
ibivibiv/math_instruct
In base 13, what is 261 - -3aa?\n
63b\n
ibivibiv/math_instruct
((-56)/7 - 1) + 6\n
-3\n
ibivibiv/math_instruct
Let 490*i**5/3 - 7756*i**4/3 - 9746*i**3/3 - 292*i**2/3 + 1480*i/3 + 272/3 = 0. Calculate i.\n
-1, -2/7, 2/5, 17\n
ibivibiv/math_instruct
Calculate the greatest common factor of 352 and 8734.\n
22\n
ibivibiv/math_instruct
What is the value of ((-450)/42)/(-1)*(-81)/(9234/(-532))?\n
50\n
ibivibiv/math_instruct
-630*1\n
-630\n
ibivibiv/math_instruct
What is the millions digit of 3908815478?\n
8\n
ibivibiv/math_instruct
What is next in 9283690, 18567375, 27851066, 37134769, 46418490, 55702235, 64986010?\n
74269821\n
ibivibiv/math_instruct
What is the ten thousands digit of 14594097?\n
9\n
ibivibiv/math_instruct
What is prob of sequence jwjj when four letters picked without replacement from {w: 2, j: 6}?\n
1/7\n
ibivibiv/math_instruct
What is the closest to 0.33 in 0.3, -3, 0.4, 0, -2/3665?\n
0.3\n
ibivibiv/math_instruct
What is the closest to 0.18 in -1, -2/527, -30?\n
-2/527\n
ibivibiv/math_instruct
Expand (0*h + 0*h + 2*h**2)*(2*h**2 - 2*h**2 - 3*h**3) + 16*h - 2*h - 14*h - 903*h**5.\n
-909*h**5\n
ibivibiv/math_instruct
Suppose 4*h + d = -16 - 8, 5*h = 5*d - 5. Suppose 4*o + 27 = o. Let c = h - o. Solve r = c*r + 6 for r.\n
-2\n
ibivibiv/math_instruct
b"What is the sth term of -18, -296, -760, -1410, -2246?\n"
-93*s**2 + s + 74\n
ibivibiv/math_instruct
List the prime factors of 867318061.\n
19, 45648319\n
ibivibiv/math_instruct
What is -438098 less than -6353?\n
431745\n
ibivibiv/math_instruct
Solve 29 = 12*z - 19 for z.\n
4\n
ibivibiv/math_instruct
What is the next term in -2056, -4113, -6168, -8221, -10272?\n
-12321\n
ibivibiv/math_instruct
What is the nearest to 0.1 in -0.3, -1, 3, 7?\n
-0.3\n
ibivibiv/math_instruct
In base 8, what is -4 - 24720375?\n
-24720401\n
ibivibiv/math_instruct
Suppose 4183 = -6*l + 16411. Suppose -5760 - l = -14*f. Is f a composite number?\n
False\n
ibivibiv/math_instruct
What is the value of 36/(3456/160)*(-171)/1330?\n
-3/14\n
ibivibiv/math_instruct
Let n be (-6)/(-4)*(-20)/165. Let c = 0.04 - 0.24. Let r be (2/25)/((-1)/(-5)). What is the smallest value in c, r, 1/6, n?\n
c\n
ibivibiv/math_instruct
Suppose r - 63 = 2*v, -3*r - v + 190 = -27. Does 19 divide r?\n
False\n
ibivibiv/math_instruct
What is 1512768 to the power of 1/4, to the nearest integer?\n
35\n
ibivibiv/math_instruct
Which is the closest to 6? (a) 3/5 (b) -5 (c) 4/9 (d) -0.3\n
a\n
ibivibiv/math_instruct
Which is the nearest to 3? (a) -8 (b) -2/11 (c) 6 (d) 442\n
c\n
ibivibiv/math_instruct
-3 * 237.24\n
-711.72\n
ibivibiv/math_instruct
Factor 0 + 10/3*b**2 + 2/3*b + 2*b**3 - 6*b**4.\n
-2*b*(b - 1)*(3*b + 1)**2/3\n
ibivibiv/math_instruct
Let g = 143 + -136.1. Round g to 0 decimal places.\n
7\n
ibivibiv/math_instruct
Calculate the lowest common multiple of 84950 and 33980.\n
169900\n
ibivibiv/math_instruct
Calculate the remainder when 27453 is divided by 5487.\n
18\n
ibivibiv/math_instruct
Suppose 2*z - 1987 = -9*c + 6*c, 5*z + 2657 = 4*c. Let b = c + -221. What is the units digit of b?\n
2\n
ibivibiv/math_instruct
Let w(i) = 2*i - 9. Let b be w(5). Let o(m) = m. Let p be o(b). Let n be p/((-1)/(-14))*1. Solve -3*z = q + n, 3*z = -7 - 2 for q.\n
-5\n
ibivibiv/math_instruct
Four letters picked without replacement from mggeeeeeegeebmeeg. Give prob of sequence gmem.\n
1/714\n
ibivibiv/math_instruct
What is 0.4 - 13256193663567?\n
-13256193663566.6\n
ibivibiv/math_instruct
Suppose 0 = 7*z - 1 + 8. Let f be 23/(-46)*(z - 5). Which is the closest to 1/4? (a) f (b) 2/9 (c) 0.4\n
b\n
ibivibiv/math_instruct
Let a(q) = 3*q. Let t(v) = -38*v - 1437. Determine a(t(n)).\n
-114*n - 4311\n
ibivibiv/math_instruct
Let f(l) = 106*l + 4763. Let y be f(-43). Solve 2*r + y = 203 for r.\n
-1\n
ibivibiv/math_instruct
Let r(v) = 77*v**3 + 3*v**2 - 3*v. Let f be r(2). Is -2 - (-6 + 3 - f) composite?\n
True\n
ibivibiv/math_instruct
Calculate -193 divided by -9455.\n
193/9455\n
ibivibiv/math_instruct
Let v = -2 - -1. Let m be -1 + 3 - (1 + 0). What is the remainder when 53 is divided by v - (m - (19 + -3))?\n
11\n
ibivibiv/math_instruct
A chess team has $26$ members. However, only X members attended the last meeting: half of the girls attended but all of the boys attended. How many boys are on the chess team? If we know the answer to the above question is 6, what is the value of unknown variable X?
We are given that the chess team has 26 members and only X members attended the last meeting. We are also given that half of the girls attended, but all of the boys attended. Lets call the number of boys on the chess team B and the number of girls G. From the given information, we can set up two equations: B + G = 26 (...
ibivibiv/math_instruct
Which is the fourth smallest value? (a) -2 (b) -0.31 (c) 0.5 (d) 1/4\n
c\n
ibivibiv/math_instruct
Convert 28 (base 10) to base 6.\n
44\n
ibivibiv/math_instruct
Product of 0.26 and -268015.\n
-69683.9\n
ibivibiv/math_instruct
What is the value of ((-12)/(-26))/((-171)/(-1482))?\n
4\n
ibivibiv/math_instruct
Simplify (h/(h/(h**(-3/10)/h))*h**8*(h**5/h)/h**(-2/13))**0 assuming h is positive.\n
1\n
ibivibiv/math_instruct
Suppose 0 = -15*z + 29 + 1. Suppose 4*i - 5*c = -54 - 43, z*i = c - 53. What is the biggest value in -4, i, 0?\n
0\n
ibivibiv/math_instruct
What is the greatest common factor of 72 and 1464?\n
24\n
ibivibiv/math_instruct