instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
How many minutes are there between 5:09 PM and 6:12 PM?\n | 63\n | ibivibiv/math_instruct | |
Let w(i) = 2*i**2 - 283*i - 8. Let z(t) = 2*t**2 - 282*t - 10. Calculate -3*w(u) + 2*z(u).\n | -2*u**2 + 285*u + 4\n | ibivibiv/math_instruct | |
Two letters picked without replacement from ymamayyamaaamh. Give prob of sequence my.\n | 6/91\n | ibivibiv/math_instruct | |
Is 72057713 a multiple of 7?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in -37*n + 38 + 56 - 85 - 11*n.\n | -48*n + 9\n | ibivibiv/math_instruct | |
Is 1100171359 composite?\n | True\n | ibivibiv/math_instruct | |
Let y(l) = -l**3 - 9*l**2 + 2168*l + 15283. What is y(-7)?\n | 9\n | ibivibiv/math_instruct | |
Let w = -21.6 + 44. Let u = -17 + w. Let m = u - 5.399969. Round m to 5 decimal places.\n | 0.00003\n | ibivibiv/math_instruct | |
Is 1409 a prime number?\n | True\n | ibivibiv/math_instruct | |
Round -26306.3947 to the nearest 100.\n | -26300\n | ibivibiv/math_instruct | |
Let r(l) = l**3 - 30*l**2 + 31*l + 12. Let o be r(29). Calculate the greatest common factor of 490 and o.\n | 70\n | ibivibiv/math_instruct | |
Let f(s) = -s**2 + 1. Let v be f(1). Suppose k - 19 = 2*h + 4*k, 20 = -3*h + 4*k. Which is the third biggest value? (a) h (b) 0.2 (c) v\n | a\n | ibivibiv/math_instruct | |
Express -306*t - 1 + 2276*t + 3866*t as b*t + l and give l.\n | -1\n | ibivibiv/math_instruct | |
What is the millions digit of 6273808022?\n | 3\n | ibivibiv/math_instruct | |
Suppose 4*y = 3*g + 692 + 164, -891 = 3*g + 3*y. What is the common denominator of -12/17 and ((9/24)/(-3))/(5/g)?\n | 170\n | ibivibiv/math_instruct | |
Suppose 15*g + 28802 - 22924 - 99508 = 0. What are the prime factors of g?\n | 2, 3121\n | ibivibiv/math_instruct | |
Which is smaller: 42165011 or 3/5?\n | 3/5\n | ibivibiv/math_instruct | |
Suppose -4*v + 2*i + 26660 = -14748, 0 = v - i - 10353. What is the ten thousands digit of v?\n | 1\n | ibivibiv/math_instruct | |
Is 576493 composite?\n | False\n | ibivibiv/math_instruct | |
Let u = 10 - 8. Let f(t) = 4*t + 2*t**u - 3*t**2 + 6*t**2 - 2*t**2. Let j(l) = -6*l**2 - 9*l. Give 9*f(n) + 4*j(n).\n | 3*n**2\n | ibivibiv/math_instruct | |
Let r(c) = -13*c + 2. Let a be r(-4). Suppose 0 = 2*d + o - 24, 0*o = -4*d - 5*o + a. Solve 3*p - 2*g = -g - 18, 2*g - d = p for p.\n | -5\n | ibivibiv/math_instruct | |
Calculate -45299914 divided by 2384206.\n | -19\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-51.7159 * (-38.9952 * 38.4989) | 77639.6484 | ibivibiv/math_instruct | |
How many millilitres are there in 7/2 of a litre?\n | 3500\n | ibivibiv/math_instruct | |
Solve -22634 = 1095*f + 20071 for f.\n | -39\n | ibivibiv/math_instruct | |
Let m(y) = 26295*y + 15. Let t be m(3). Round t to the nearest 10000.\n | 80000\n | ibivibiv/math_instruct | |
b"What is the mth term of 795200, 1590420, 2385640, 3180860, 3976080?\n" | 795220*m - 20\n | ibivibiv/math_instruct | |
What is next in 1, -17, -53, -113, -203, -329?\n | -497\n | ibivibiv/math_instruct | |
-7 * 28020.95\n | -196146.65\n | ibivibiv/math_instruct | |
Let d be (-93)/(-12) + -3 + 65/20. Solve -4*w - 9 = -3*r, -2*r + d = -w + 2 for r.\n | 3\n | ibivibiv/math_instruct | |
What is the next term in -1109, -1041, -899, -659, -297?\n | 211\n | ibivibiv/math_instruct | |
Is 772207 a composite number?\n | False\n | ibivibiv/math_instruct | |
In base 4, what is -101032212333 + 11?\n | -101032212322\n | ibivibiv/math_instruct | |
What is the greatest common factor of 45 and 15?\n | 15\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Ring (mathematics)
In mathematics, a ring is an algebraic structure with two binary operations, commonly called addition and multiplication. These operations are defined so as to emulate and generalize the integers. Other ... | In abstract algebra, a branch of mathematics, a ring is an algebraic structure characterized by two fundamental operations: addition and multiplication. Both operations follow certain rules, enabling them to mimic and expand upon the behavior of integers. This concept forms the foundation for various mathematical theo... | ibivibiv/math_instruct | |
List the prime factors of 26415487.\n | 7, 67, 151, 373\n | ibivibiv/math_instruct | |
Express -89 - 352*l + 24 + 36 + 29 as p*l + d and give p.\n | -352\n | ibivibiv/math_instruct | |
Sort 735, -1, 1, -483, 5 in increasing order.\n | -483, -1, 1, 5, 735\n | ibivibiv/math_instruct | |
Which is the nearest to 99? (a) 2 (b) 4/7 (c) 3 (d) -4 (e) -1\n | c\n | ibivibiv/math_instruct | |
b"What is the pth term of -48897, -68759, -88621?\n" | -19862*p - 29035\n | ibivibiv/math_instruct | |
What is 203 minutes before 4:05 PM?\n | 12:42 PM\n | ibivibiv/math_instruct | |
What is the first derivative of -518287*b*t**3 - 25*b*t**2 + 3*b - 387882880*t**3 wrt b?\n | -518287*t**3 - 25*t**2 + 3\n | ibivibiv/math_instruct | |
Sum 782 and -376.\n | 406\n | ibivibiv/math_instruct | |
Determine h so that 9 + 7 + 5*h**2 - 50*h + 29 = 0.\n | 1, 9\n | ibivibiv/math_instruct | |
Let n = -206 + 368. Let p = -161.5 + n. What is the closest to 1/2 in 0, p, 5?\n | p\n | ibivibiv/math_instruct | |
What is prob of sequence errs when four letters picked without replacement from rmemmmermrsrrrer?\n | 3/1040\n | ibivibiv/math_instruct | |
Which is the nearest to -0.17? (a) -0.248 (b) 4 (c) -5\n | a\n | ibivibiv/math_instruct | |
What is 78.7984ml in litres?\n | 0.0787984\n | ibivibiv/math_instruct | |
Let j(k) = -3*k**3 - 3*k**2 - k - 1. Let u be j(-3). Let r be 16/u - 38/(-14). Let h(b) = -b**3 + 4*b**2 - 5*b + 4. Give h(r).\n | -2\n | ibivibiv/math_instruct | |
Is 73534 a composite number?\n | True\n | ibivibiv/math_instruct | |
Suppose -f = -5*f. Let b = f - -7. Let p = b - 4. Solve 0*a - p*a = -15 for a.\n | 5\n | ibivibiv/math_instruct | |
Let g = -1331/6 + 447/2. Solve 0*w + 13/3*w**4 + 0 - g*w**5 - 4/3*w**2 - 4/3*w**3 = 0.\n | -2/5, 0, 1, 2\n | ibivibiv/math_instruct | |
-3 (base 12) to base 3\n | -10\n | ibivibiv/math_instruct | |
Solve -c**3/10 + 88*c**2/5 - 3872*c/5 = 0 for c.\n | 0, 88\n | ibivibiv/math_instruct | |
Suppose -20 = -9*h + 4*h. Suppose -4*r = -h - 4. Find the third derivative of -3*t**3 - t**r - t**2 + 9*t**2 wrt t.\n | -18\n | ibivibiv/math_instruct | |
What is -0.00022444 rounded to five decimal places?\n | -0.00022\n | ibivibiv/math_instruct | |
Collect the terms in -3*b**3 + 17*b**3 - 5*b**3 - 9*b**3 - 8*b**3.\n | -8*b**3\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) -13 (b) -6 (c) 0.01\n | a\n | ibivibiv/math_instruct | |
Collect the terms in 2799*l - 917*l - 941*l - 916*l.\n | 25*l\n | ibivibiv/math_instruct | |
What is -0.020144 minus 35979033?\n | -35979033.020144\n | ibivibiv/math_instruct | |
Suppose c + 21 = 4*c. Suppose 5*s - 3*a - 69 = 0, -3*a + c = -s + 16. What is the units digit of s?\n | 5\n | ibivibiv/math_instruct | |
What is the second derivative of 10*w - 29*w + 16*w + 71*w**3 + 16*w wrt w?\n | 426*w\n | ibivibiv/math_instruct | |
Let b = 70 + -60. Suppose 5 + b = 5*d. Let a(h) = 0 + 5 - d - h**2 + h - 1. Let p(m) = -m**3 - 3*m**2 + 3*m + 3. Give -3*a(z) + p(z).\n | -z**3\n | ibivibiv/math_instruct | |
Let z be (-6)/(-2) + (2 - 1). Suppose 0 = -5*g - 1 + 21. Suppose g = w + 5*c - 11, w - z*c + 3 = 0. Is 5 at least w?\n | True\n | ibivibiv/math_instruct | |
-12 divided by 331188\n | -1/27599\n | ibivibiv/math_instruct | |
What is prob of picking 2 l when two letters picked without replacement from cljlljacjjlja?\n | 1/13\n | ibivibiv/math_instruct | |
Subtract -731.958779262 from 1.38.\n | 733.338779262\n | ibivibiv/math_instruct | |
Suppose -2*o - o = -4*o. Solve o = 3*d + 2*l + 6, 0 = -4*l + 7*l - 9 for d.\n | -4\n | ibivibiv/math_instruct | |
What comes next: 923503, 1846994, 2770477, 3693946, 4617395, 5540818, 6464209, 7387562?\n | 8310871\n | ibivibiv/math_instruct | |
Let i(q) = 3*q**3 - 15*q**2 + 16*q - 1. Let c(j) = j**3 + j**2 - 1. Let w(g) = -2*c(g) + i(g). What is w(16)?\n | 1\n | ibivibiv/math_instruct | |
b"What is the nth term of -28, -44, -60, -76?\n" | -16*n - 12\n | ibivibiv/math_instruct | |
-18 divided by 6\n | -3\n | ibivibiv/math_instruct | |
Is 13 a factor of 402022689?\n | False\n | ibivibiv/math_instruct | |
What is -23490 rounded to the nearest one hundred?\n | -23500\n | ibivibiv/math_instruct | |
Let u be ((-343146)/(-144))/((-2)/(-4)). Let d = u - 4770. What is the common denominator of -77/10 and d?\n | 60\n | ibivibiv/math_instruct | |
Suppose 4*c = -3*b + 6, 3*b = 5*c - 0*b - 21. Suppose -c*x - 4*x + 840 = 0. Is 24 a factor of x?\n | True\n | ibivibiv/math_instruct | |
Let p(b) = -23825*b**2 + b - 1. Let o(r) = -23824*r**2 + r - 1. Let k(i) = 3*o(i) - 4*p(i). Let f be k(1). Let c = f + -58828. Round c to the nearest 10000.\n | -40000\n | ibivibiv/math_instruct | |
What is the fourth biggest value in 4/3, 8/3, -1, 3/5?\n | -1\n | ibivibiv/math_instruct | |
List the prime factors of 178656.\n | 2, 3, 1861\n | ibivibiv/math_instruct | |
Let j = -31 - -100. Does 23 divide j?\n | True\n | ibivibiv/math_instruct | |
Simplify -2 + (-6*(-1 + 2*sqrt(76) + sqrt(76) - ((sqrt(76) + 0 - sqrt(76)) + -4)))**2 + 2.\n | 1296*sqrt(19) + 24948\n | ibivibiv/math_instruct | |
Suppose -3*j - 6 = -j. What is the units digit of (1/j)/(1/(-24))?\n | 8\n | ibivibiv/math_instruct | |
Solve 9576 - 4242 - 3948 = 77*p for p.\n | 18\n | ibivibiv/math_instruct | |
Expand 3*k**4 - 3*k**4 - 2*k**4 + (-k**3 + 5*k**3 - k**3)*(-k + 9 + 16 - 18).\n | -5*k**4 + 21*k**3\n | ibivibiv/math_instruct | |
What is 150.228 rounded to zero dps?\n | 150\n | ibivibiv/math_instruct | |
Suppose 4*y = -3 - 29. Let p(b) = -9*b - 41. Let w be p(y). What is the highest common factor of 93 and w?\n | 31\n | ibivibiv/math_instruct | |
Find the common denominator of 15/7348 and -55/668.\n | 7348\n | ibivibiv/math_instruct | |
Expand -14*f + 367 - 367 + (3*f + f - 3*f)*(-4 + 0 + 8).\n | -10*f\n | ibivibiv/math_instruct | |
Let i(m) = -m**2 - 58*m - 354. Give i(-51).\n | 3\n | ibivibiv/math_instruct | |
Suppose -y + 274 = 74. What is the derivative of 3*x**3 + 200*x**2 - y*x**2 + 6 wrt x?\n | 9*x**2\n | ibivibiv/math_instruct | |
Let j(q) = -27420*q + 109685. What is j(4)?\n | 5\n | ibivibiv/math_instruct | |
What is 13464803 to the power of 1/3, to the nearest integer?\n | 238\n | ibivibiv/math_instruct | |
Suppose -u - 2 = -3*u. Suppose -172*y = -28*y. Sort u, y, 20, 2.\n | y, u, 2, 20\n | ibivibiv/math_instruct | |
Let o = 48 - 29. Suppose 3*p - o = 2*t, -2 = -4*p - 3*t + t. What is the remainder when 5 is divided by p?\n | 2\n | ibivibiv/math_instruct | |
Is 932328203 composite?\n | True\n | ibivibiv/math_instruct | |
What is the product of -3837 and 4.3833?\n | -16818.7221\n | ibivibiv/math_instruct | |
In base 6, what is 204 + -514500?\n | -514252\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 2527 and 2166.\n | 15162\n | ibivibiv/math_instruct | |
Is 1393571 composite?\n | True\n | ibivibiv/math_instruct | |
What is the next term in 906, 1781, 2644, 3489, 4310?\n | 5101\n | ibivibiv/math_instruct |
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