instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Is 37008977 a prime number?\n | False\n | ibivibiv/math_instruct | |
Is 690447 a multiple of 40?\n | False\n | ibivibiv/math_instruct | |
Suppose 0 = 2*z - 11 + 13. Let t be (2 - 2 - -1)*1. Let r = t - 3/5. Which is the second biggest value? (a) z (b) r (c) -3/4\n | c\n | ibivibiv/math_instruct | |
Let k be (20/15)/((-24)/9 - -3). Solve 0 = -k*r + 1 - 13 for r.\n | -3\n | ibivibiv/math_instruct | |
Collect the terms in -52487294987241*c**2 + 16*c**3 + 52487294987241*c**2.\n | 16*c**3\n | ibivibiv/math_instruct | |
Let d = 5.6 - -1.4. Let g = d + -7.3. Let u = -3166/11 - -12697/44. Which is the nearest to g? (a) -5 (b) 5 (c) u\n | c\n | ibivibiv/math_instruct | |
Let h = 18680 + -18678. Solve 0*m**h + 0 - 2/13*m + 2/13*m**3 = 0 for m.\n | -1, 0, 1\n | ibivibiv/math_instruct | |
Let -1134675*z**5 + 29434611555*z**4 + 58681167783*z**3 + 29054273517*z**2 - 190836720*z + 311316 = 0. Calculate z.\n | -1, 2/615, 25943\n | ibivibiv/math_instruct | |
Calculate 133 divided by 3902.\n | 133/3902\n | ibivibiv/math_instruct | |
Sort 0.3, 303, -1 in ascending order.\n | -1, 0.3, 303\n | ibivibiv/math_instruct | |
What is prob of picking 1 s, 2 q, and 1 f when four letters picked without replacement from {y: 2, s: 8, q: 2, f: 1, x: 5}?\n | 2/765\n | ibivibiv/math_instruct | |
Simplify -4*(1*(sqrt(228) + -2*sqrt(228) + sqrt(228)) + (sqrt(228)*-1 + sqrt(228))*-4)/(sqrt(432)*-2*4).\n | 0\n | ibivibiv/math_instruct | |
b"What is the kth term of 17054, 34108, 51162, 68216, 85270, 102324?\n" | 17054*k\n | ibivibiv/math_instruct | |
Calculate -4.6 - 46973093.\n | -46973097.6\n | ibivibiv/math_instruct | |
Let f be (-8)/(-3) - (-5)/15. Is (-60949)/(-21) - 1/f - 3 prime?\n | False\n | ibivibiv/math_instruct | |
What is -100659339 divided by -4376493?\n | 23\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"## Construction of the Chebyshev Spline
This section discusses these aspects of the Chebyshev spline construction:
### What Is a Chebyshev Spline?
The Chebyshev spline C=Ct=Ck,t of order k for the knot sequence t=(ti: i=1:... | A spline is a mathematical tool used to approximate complex curves using simpler pieces called polynomials. The Chebyshev spline is a particular type of spline that stands out due to its ability to maximize oscillation while maintaining continuity. Before delving into the specifics of constructing a Chebyshev spline, ... | ibivibiv/math_instruct | |
What is the value of 1 - (3 + 0 + -4 - 3)?\n | 5\n | ibivibiv/math_instruct | |
Express -2*m - m + 7 + 6*m - 1 - 4*m as l + f*m and give f.\n | -1\n | ibivibiv/math_instruct | |
Find x such that -4*x**4 + 88*x**3 + 716*x**2 - 4992*x + 6480 = 0.\n | -10, 2, 3, 27\n | ibivibiv/math_instruct | |
Let y(c) = -2*c**3 - c**2 - 3*c + 3. Let i be y(0). Is (-17)/(51/(-62522)) + 1/i a prime number?\n | False\n | ibivibiv/math_instruct | |
Let r(n) = -n**3 + 2*n**2 - 7*n - 4. Let k(b) = 2*b**3 - 4*b**2 + 15*b + 9. Suppose -151*l - 2332 = -553*l + 1286. Give l*r(q) + 4*k(q).\n | -q**3 + 2*q**2 - 3*q\n | ibivibiv/math_instruct | |
Let p = 288 - 206. What is the units digit of p?\n | 2\n | ibivibiv/math_instruct | |
Solve 3*s + 157 = 121 for s.\n | -12\n | ibivibiv/math_instruct | |
What is the nearest to -0.1 in -7, 2, -4/25, -2/5, -0.5?\n | -4/25\n | ibivibiv/math_instruct | |
What is the second derivative of -1333*d*j**3 - d*j**2*l - 2*d*j**2 - 25*d*j*l + 2*d*l - d - 18*j + l wrt j?\n | -7998*d*j - 2*d*l - 4*d\n | ibivibiv/math_instruct | |
Let x = 4157 - 369972/89. Calculate the common denominator of -65/6 and x.\n | 534\n | ibivibiv/math_instruct | |
Calculate prob of sequence vi when two letters picked without replacement from {i: 2, v: 1, x: 1, q: 2, d: 2}.\n | 1/28\n | ibivibiv/math_instruct | |
Let f be (-12)/20 + 56/10. Suppose -2*h + 3*j = -414, -4*h + f*h - j - 205 = 0. Is h a multiple of 20?\n | False\n | ibivibiv/math_instruct | |
Let k(a) = -2*a**2 - 18*a - 15. Let l(s) = -3*s**2 - 19*s - 16. Let d(y) = -4*k(y) + 3*l(y). What are the prime factors of d(11)?\n | 2, 7\n | ibivibiv/math_instruct | |
b"What is the rth term of -18784, -25863, -37660, -54175, -75408, -101359, -132028?\n" | -2359*r**2 - 2*r - 16423\n | ibivibiv/math_instruct | |
((-4)/8)/(21/6)\n | -1/7\n | ibivibiv/math_instruct | |
Collect the terms in -32*t - 30*t - 29*t + 95*t.\n | 4*t\n | ibivibiv/math_instruct | |
Let o = -20.992 + 21. Let i = 0.042 + o. Are 1/2 and i equal?\n | False\n | ibivibiv/math_instruct | |
What is 26480 divided by -16?\n | -1655\n | ibivibiv/math_instruct | |
What comes next: -1438, -1868, -1888, -1294, 118, 2552?\n | 6212\n | ibivibiv/math_instruct | |
What comes next: 40882, 40902, 40942, 41008, 41106, 41242, 41422, 41652?\n | 41938\n | ibivibiv/math_instruct | |
In base 13, what is -2 + -5000?\n | -5002\n | ibivibiv/math_instruct | |
What comes next: 5864, 23499, 52894, 94049, 146964, 211639?\n | 288074\n | ibivibiv/math_instruct | |
Let w(j) = j**2 + 5*j - 3. Let a be w(-6). Suppose -a*x = 2*x - 10. Find the third derivative of -4 + 2*f**6 + 4 + x*f**2 wrt f.\n | 240*f**3\n | ibivibiv/math_instruct | |
Suppose -5*d + 3 = -17. Let w be 3 + 3 + -6 - -14. Solve 5*o - w = 3*o + d*z, -5*o - 13 = 2*z for o.\n | -1\n | ibivibiv/math_instruct | |
What is the common denominator of 77/1446 and 13/1446?\n | 1446\n | ibivibiv/math_instruct | |
Does 30 divide 701?\n | False\n | ibivibiv/math_instruct | |
Let p(y) = -y**2 + 10*y - 12. Let s be p(8). Suppose 0 = -s*n + 20 + 4. Let b(f) = 2*f. Determine b(n).\n | 12\n | ibivibiv/math_instruct | |
Solve 15*d = -4*m - 15*d + 27*d + 8, 0 = -137*d - 135*d - 1088 for m.\n | 5\n | ibivibiv/math_instruct | |
Solve k + 6 = -z, -5*z = -4*k + 1 + 20 for z.\n | -5\n | ibivibiv/math_instruct | |
Does 11 divide 1982225986?\n | False\n | ibivibiv/math_instruct | |
What is 612 minutes before 10:08 AM?\n | 11:56 PM\n | ibivibiv/math_instruct | |
Suppose 11*s + 25136513 = 157*s + 47*s. Is s a prime number?\n | True\n | ibivibiv/math_instruct | |
Let r(w) = w**3 - 3*w**2 - 6*w + 5. Let m be r(6). Let x = 1080 - m. Suppose -5*g + x = -1212. Is g a prime number?\n | True\n | ibivibiv/math_instruct | |
Let b = -47 - -137. Suppose -k + 6*k + 5*g = b, 4*k - 69 = -3*g. Suppose x - 5*x + 20 = 0. Solve 0*i = x*i - k for i.\n | 3\n | ibivibiv/math_instruct | |
-17 divided by 36\n | -17/36\n | ibivibiv/math_instruct | |
Round -0.00067623 to four dps.\n | -0.0007\n | ibivibiv/math_instruct | |
Let y(k) = k**2. Let i(q) be the first derivative of -4*q - 6 + 4*q + 0*q - 5*q**2. Determine y(i(s)).\n | 100*s**2\n | ibivibiv/math_instruct | |
Let p be (-8)/10*(-185)/74. Suppose -p*f + 1 - 11 = 0, 2*o + f + 11 = 0. Which is the nearest to 4? (a) 0.4 (b) 11/3 (c) o\n | b\n | ibivibiv/math_instruct | |
Let w(o) = o**2 - 14*o + 18. Let p be w(12). Let m be (-8)/p*-7 + 2. Suppose 0*z + 2*z + 3*t + 9 = 0, 2*t = 5*z + 32. Which is bigger: z or m?\n | z\n | ibivibiv/math_instruct | |
Let m = -72 - -76. Suppose 0 = n - m, 3*n + 6 = -3*d + 3. Suppose 0 = -2*g - 2*x + 12, 5*x = 3*x + 10. Put d, 3, g in decreasing order.\n | 3, g, d\n | ibivibiv/math_instruct | |
In base 5, what is -114233400 + -22?\n | -114233422\n | ibivibiv/math_instruct | |
Let r be (8 + 1)*(-3)/(27/(-6)). Suppose 7*g + r*g = 52. Suppose -6*q = -188 - g. List the prime factors of q.\n | 2\n | ibivibiv/math_instruct | |
What is the common denominator of -82/195 and -2/183?\n | 11895\n | ibivibiv/math_instruct | |
How many nanoseconds are there in thirty-seven fifths of a microsecond?\n | 7400\n | ibivibiv/math_instruct | |
Let c(d) = 136*d**2 + 2*d - 6. What is the thousands digit of c(-3)?\n | 1\n | ibivibiv/math_instruct | |
Let a(r) = 15*r**3 + 89*r**2 - 10*r - 14. Determine a(-6).\n | 10\n | ibivibiv/math_instruct | |
What is the derivative of -114*f**2*m*w + 2*f**2*n*w + 6*f**2*w - f*m*n*w - 2*f*m*w + 3*m*n + 124*n*w wrt n?\n | 2*f**2*w - f*m*w + 3*m + 124*w\n | ibivibiv/math_instruct | |
Simplify -3*(5 + (sqrt(33)/sqrt(3) - sqrt(11)) + (2 + sqrt(11)*2 + sqrt(11) - sqrt(11))).\n | -21 - 6*sqrt(11)\n | ibivibiv/math_instruct | |
What is -c40 (base 14) in base 15?\n | -aa8\n | ibivibiv/math_instruct | |
b"What is the jth term of 1, 18, 63, 142, 261, 426?\n" | j**3 + 8*j**2 - 14*j + 6\n | ibivibiv/math_instruct | |
Calculate 4 + 6 + -3 + (-5 - -2).\n | 4\n | ibivibiv/math_instruct | |
Factor -c**3 - 196*c**2 - 9604*c.\n | -c*(c + 98)**2\n | ibivibiv/math_instruct | |
Let l = -9000 - -9652. What is the hundreds digit of l?\n | 6\n | ibivibiv/math_instruct | |
Is 80508291 a multiple of 45?\n | False\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 5 and 104?\n | 520\n | ibivibiv/math_instruct | |
Is 1 less than or equal to 2/1369?\n | False\n | ibivibiv/math_instruct | |
Factor -3*b**2 + 21*b - 30.\n | -3*(b - 5)*(b - 2)\n | ibivibiv/math_instruct | |
(-24 - (-7 - 20)) + -41\n | -38\n | ibivibiv/math_instruct | |
What is 5470888 to the power of 1/2, to the nearest integer?\n | 2339\n | ibivibiv/math_instruct | |
Let g = -46 + 51. Solve 3*i + 5*l = 1 + g, 2*l = 0 for i.\n | 2\n | ibivibiv/math_instruct | |
Expand -30*x - 12*x**3 + 26*x + x**3 - 2*x**3 - 3*x**3 + 3*x**3 + (-2*x + 0*x + 0*x)*(4*x**2 - 3*x**2 + 0*x**2) + (-3*x + 5*x - 3*x)*(-x**2 + 4*x**2 - 4*x**2).\n | -14*x**3 - 4*x\n | ibivibiv/math_instruct | |
Suppose -6*g - q = -7*g + 4, 0 = -2*g - 4*q - 34. Let p(o) = o**3 + o**2 - 5*o - 3. Let h be p(-3). Put g, h, -4 in decreasing order.\n | g, -4, h\n | ibivibiv/math_instruct | |
5301 x 13 =?
Answer Choices: (A) 68381 (B) 69831 (C) 68931 (D) 68319 (E) 68913 Lets write a Python program. | answers = ['A', 'B', 'C', 'D', 'E]
# calculate the multiplication
result = 5301 * 13
options = [68381, 69831, 68931, 68319, 68913]
# find the correct answer
index = options.index(result)
print(answers[index]) | ibivibiv/math_instruct | |
Calculate the common denominator of 19/970 and -89/4.\n | 1940\n | ibivibiv/math_instruct | |
Let z = 34562.014 + -34523. Let i = 39 - z. Let l = -1.014 - i. Are -1/9 and l equal?\n | False\n | ibivibiv/math_instruct | |
Differentiate 18*c*u**4 - 410963*c*u**3 + 717*c - 4655 wrt u.\n | 72*c*u**3 - 1232889*c*u**2\n | ibivibiv/math_instruct | |
Let x = -13.853017 - -14.1224. Let v = x + -0.2676. Round v to four decimal places.\n | 0.0018\n | ibivibiv/math_instruct | |
What are the prime factors of 2019294?\n | 2, 3, 17, 6599\n | ibivibiv/math_instruct | |
What comes next: 57, 489, 1653, 3915, 7641?\n | 13197\n | ibivibiv/math_instruct | |
What is the highest common divisor of 65888 and 29696?\n | 928\n | ibivibiv/math_instruct | |
Express -11*r**2 + 6*r**3 + 2*r**2 - 8*r**3 as w + g*r**2 + s*r + d*r**3 and give s.\n | 0\n | ibivibiv/math_instruct | |
Let p = 70 - 14. What is the tens digit of p?\n | 5\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {q: 13, l: 3, m: 3}. Give prob of picking 2 l.\n | 1/57\n | ibivibiv/math_instruct | |
Let g = -143052 + 143056. Let v = 3.3 - 3. What is the closest to -0.2 in v, -1/5, g?\n | -1/5\n | ibivibiv/math_instruct | |
Suppose 0 = -3*h - h. Suppose 4*k + 3484 - 352 = h. What is k rounded to the nearest one hundred?\n | -800\n | ibivibiv/math_instruct | |
Put 0.3, -2/25, -4, 4 in ascending order.\n | -4, -2/25, 0.3, 4\n | ibivibiv/math_instruct | |
Is 4380751 composite?\n | False\n | ibivibiv/math_instruct | |
-24754.5218+-0.4\n | -24754.9218\n | ibivibiv/math_instruct | |
Is -2/5 less than or equal to 363.2?\n | True\n | ibivibiv/math_instruct | |
Solve 2*q = -5*l + 11, -5*q - 4 - 6 = 0 for l.\n | 3\n | ibivibiv/math_instruct | |
Does 15 divide (360/(-12))/(-1 - 0/(-1))?\n | True\n | ibivibiv/math_instruct | |
Simplify (2*(sqrt(1400) + 5*sqrt(1400)*-2))/(sqrt(16)/sqrt(8) - (sqrt(8) + sqrt(8) + sqrt(128)*3)).\n | 20*sqrt(7)/3\n | ibivibiv/math_instruct | |
Let s(y) = -2*y + y**3 + 1 - 2*y**3 + 65658*y**2 + y - 65657*y**2. Let v(l) = 9*l**3 + 12*l**2 + 8*l - 8. Calculate 6*s(x) + v(x).\n | 3*x**3 + 18*x**2 + 2*x - 2\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.