instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose k + 912 = -3*k. Let v = -911/4 - k. Suppose 5/4*g + 1/4*g**2 - v*g**3 + 3/4 = 0. Calculate g.\n | -1, 3\n | ibivibiv/math_instruct | |
Let n = -24 - -175. Let t = n - 151.02. Let g = 0.03 - 4.03. Is t at least g?\n | True\n | ibivibiv/math_instruct | |
Is 0 < 16933?\n | True\n | ibivibiv/math_instruct | |
Let a be (-4)/(((-1)/(-15))/((-1)/2)). Calculate the common denominator of (1/(-90))/(1/(1040/a)) and 73/18.\n | 270\n | ibivibiv/math_instruct | |
Suppose 6 = -0*p + 2*p. Suppose p*b = -2*b + 15. Suppose -3*r = 2*z - 10, 5*r + 0*z - 22 = 2*z. Solve r = -b*u - u for u.\n | -1\n | ibivibiv/math_instruct | |
Solve -23*z + z = 3*z - 675 for z.\n | 27\n | ibivibiv/math_instruct | |
What is 2 divided by -4870?\n | -1/2435\n | ibivibiv/math_instruct | |
What is -14.708 rounded to the nearest integer?\n | -15\n | ibivibiv/math_instruct | |
Let w(a) = -4*a**3 - 24*a**2 + 77*a + 42. Let s(t) = 7*t**3 + 47*t**2 - 153*t - 84. Let l(q) = -3*s(q) - 5*w(q). What is l(-24)?\n | -6\n | ibivibiv/math_instruct | |
What is l in -35/6*l**2 + 1/6*l**3 - 98/3*l - 80/3 = 0?\n | -4, -1, 40\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-13.68 % -7.619) - (20.767 + -24.215) | -2.6130 | ibivibiv/math_instruct | |
What is 12/48*1*2?\n | 1/2\n | ibivibiv/math_instruct | |
What is 47 to the power of 1/4, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
In base 14, what is -5 + 2b84115?\n | 2b84110\n | ibivibiv/math_instruct | |
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"# Understanding the definition of continuity from real analysis
I've stared at and worked with the definition of continuity of a real valued function at a point for many (like $3$) years, but there are some things that have ... | The concept of continuity is fundamental in real analysis and calculus. It allows us to determine whether a function has no breaks or gaps – in other words, whether its value approaches a certain limit as the input values get arbitrarily close to a particular point. Here, we delve deeper into the formal definition of ... | ibivibiv/math_instruct | |
In base 6, what is -53000410411 - 2?\n | -53000410413\n | ibivibiv/math_instruct | |
Calculate -2331316 divided by 5447.\n | -428\n | ibivibiv/math_instruct | |
-2812208 - -13\n | -2812195\n | ibivibiv/math_instruct | |
Let w = 8454 + -6154. What are the prime factors of w?\n | 2, 5, 23\n | ibivibiv/math_instruct | |
What is the second biggest value in 0.1, 2, -1/3, -0.3, -39?\n | 0.1\n | ibivibiv/math_instruct | |
What is the fourth biggest value in 5, -7, -0.0808603, 0.2, -2/19?\n | -2/19\n | ibivibiv/math_instruct | |
Let g(h) = 5*h**2 - 9*h + 10 + 2*h - 4*h**2. Let f be g(10). What is the highest common factor of f and 16?\n | 8\n | ibivibiv/math_instruct | |
Let l(n) = n + 26. Let m be l(10). Let v = 40 - m. Suppose 136 - 40 = v*f. Does 6 divide f?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in 19*m**3 + 75697 + 18*m - 18*m + 75688 - 151385 - 86*m**3.\n | -67*m**3\n | ibivibiv/math_instruct | |
Add together 0.65 and -16251.\n | -16250.35\n | ibivibiv/math_instruct | |
Simplify sqrt(66)/(sqrt(18)/sqrt(3)) - sqrt(22)/sqrt(2)*-2.\n | 3*sqrt(11)\n | ibivibiv/math_instruct | |
Suppose -13 = -8*g + 59. Suppose 1 = -8*p + g. Let j be (2/(-1) - (-2 + -59))*p. Is 58 > j?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in 21952*a + 48967*a + 39375*a - 9057*a.\n | 101237*a\n | ibivibiv/math_instruct | |
Let x(d) = 4*d**2 - 2 + 4*d**3 + 0 - 2*d**3 - 3*d**3. Is x(-5) composite?\n | False\n | ibivibiv/math_instruct | |
What is the nearest to 0 in -6/3593, 16/7, -0.5, -3/4?\n | -6/3593\n | ibivibiv/math_instruct | |
In base 14, what is -57c - -80?\n | -4dc\n | ibivibiv/math_instruct | |
Round -0.00276806798 to six dps.\n | -0.002768\n | ibivibiv/math_instruct | |
(-26*135/(-1638)*18/(-5))/((-6)/(-28))\n | -36\n | ibivibiv/math_instruct | |
Let k(p) = -p**2 - 47*p + 46. Let a be 10/4 - 8/32*146. What are the prime factors of k(a)?\n | 2, 61\n | ibivibiv/math_instruct | |
What is 1588580247 to the power of 1/2, to the nearest integer?\n | 39857\n | ibivibiv/math_instruct | |
What are the prime factors of 641632?\n | 2, 20051\n | ibivibiv/math_instruct | |
What is the thousands digit of 5711?\n | 5\n | ibivibiv/math_instruct | |
How many minutes are there between 8:34 AM and 2:40 PM?\n | 366\n | ibivibiv/math_instruct | |
(9 - (1 + -11)) + -11\n | 8\n | ibivibiv/math_instruct | |
What is 2257555245 to the power of 1/8, to the nearest integer?\n | 15\n | ibivibiv/math_instruct | |
Is (4 + (-39)/12)*(-44 + 1552) a multiple of 4?\n | False\n | ibivibiv/math_instruct | |
What is the third derivative of 7*t**5 + 1003*t**4 - 4*t**3 + 3*t**2 - 99*t - 11 wrt t?\n | 420*t**2 + 24072*t - 24\n | ibivibiv/math_instruct | |
What is prob of picking 1 r and 1 c when two letters picked without replacement from {c: 6, v: 5, r: 2}?\n | 2/13\n | ibivibiv/math_instruct | |
Express (2 - 14*s**2 + 35*s - 89*s + 47*s)*(-2 - 14 + 3) in the form q*s + r + u*s**2 and give u.\n | 182\n | ibivibiv/math_instruct | |
Solve o + 19 = 4*g, -2*o + o - 9 = -2*g for o.\n | 1\n | ibivibiv/math_instruct | |
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"GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 21 Oct 2018, 08:21
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and sugges... | When it comes to comparing the areas of different geometric shapes, such as triangles and circles, it's essential to understand their respective formulas and how they relate to the given information. Here, we're presented with a problem involving both a triangle and a circle with shared dimensions. Let's break down th... | ibivibiv/math_instruct | |
What is next in -808679, -1617439, -2426251, -3235115, -4044031, -4852999, -5662019?\n | -6471091\n | ibivibiv/math_instruct | |
Suppose -73*u = 11*u - 168. Solve 3*s - z = -8, u*s = 3*s + 3*z - 4 for s.\n | -2\n | ibivibiv/math_instruct | |
b"What is the oth term of 58, 121, 282, 589, 1090, 1833, 2866, 4237?\n" | 8*o**3 + o**2 + 4*o + 45\n | ibivibiv/math_instruct | |
Let m be 3 + (-3)/(-9)*-3. What is the nearest to 2 in m, -1, -3?\n | m\n | ibivibiv/math_instruct | |
What is 2537783 to the power of 1/2, to the nearest integer?\n | 1593\n | ibivibiv/math_instruct | |
Calculate the common denominator of 61/31302 and 22/19203.\n | 5415246\n | ibivibiv/math_instruct | |
Suppose 3*j**5 + 636*j**4 + 741*j**3 - 106704*j**2 + 477468*j - 544320 = 0. Calculate j.\n | -210, -16, 2, 3, 9\n | ibivibiv/math_instruct | |
What is the greatest common factor of 6 and 123?\n | 3\n | ibivibiv/math_instruct | |
What is prob of picking 1 p, 1 f, and 1 i when three letters picked without replacement from {i: 2, p: 5, b: 1, z: 1, f: 1, n: 3}?\n | 5/143\n | ibivibiv/math_instruct | |
What is the hundreds digit of 2806?\n | 8\n | ibivibiv/math_instruct | |
Calculate the remainder when 10743494 is divided by 245.\n | 244\n | ibivibiv/math_instruct | |
Evaluate (6/28)/(25/(-50))*49/(-6).\n | 7/2\n | ibivibiv/math_instruct | |
Solve -82368*w + 10560 = -82632*w for w.\n | -40\n | ibivibiv/math_instruct | |
Suppose -f = -3*f - 16. Let g = 13 + f. What is the units digit of g?\n | 5\n | ibivibiv/math_instruct | |
Calculate -13 + 2 + 11 - 4.\n | -4\n | ibivibiv/math_instruct | |
Three letters picked without replacement from ccecceeeeeeccc. Give prob of sequence cee.\n | 7/52\n | ibivibiv/math_instruct | |
What is 239837705 to the power of 1/3, to the nearest integer?\n | 621\n | ibivibiv/math_instruct | |
What is the next term in 734, 742, 764, 806, 874, 974?\n | 1112\n | ibivibiv/math_instruct | |
Let z(l) = -l**3 + 4*l**2 + l + 1. Let j be z(4). Solve -j*n - 8 = -5*s + 17, -s - 3*n + 1 = 0 for s.\n | 4\n | ibivibiv/math_instruct | |
Collect the terms in -2*d**3 + 7*d**3 - 66375*d - 10 + 10 + 66375*d.\n | 5*d**3\n | ibivibiv/math_instruct | |
Factor -4*r**2 + 58377124*r.\n | -4*r*(r - 14594281)\n | ibivibiv/math_instruct | |
Let d(w) = -w**2 - 6*w - 12. Let f be d(-4). Put 0.3, f, -2/19, -2/9 in decreasing order.\n | 0.3, -2/19, -2/9, f\n | ibivibiv/math_instruct | |
List the prime factors of 1516.\n | 2, 379\n | ibivibiv/math_instruct | |
What is the value of 0 + ((-5)/(-20))/(234/(-36))?\n | -1/26\n | ibivibiv/math_instruct | |
Suppose -4*r = -3*y + 9, 4*r - 2*y - 1 = -7. Let n be r - (2 - 1)*-4. Suppose -37 = -3*l + 5*p, n*l - l = -p + 7. Sort l, 2, 5 in increasing order.\n | 2, l, 5\n | ibivibiv/math_instruct | |
Does 7 divide 7966?\n | True\n | ibivibiv/math_instruct | |
Let r = -1.2 + 0.2. Let a = 2 - r. Let s = 6/23 - 64/69. Sort s, a, -3/5.\n | s, -3/5, a\n | ibivibiv/math_instruct | |
Suppose 4*c = -19 - 1. Let m be -3 + 5 + -1 + -2. What is the closest to m in -0.3, c, -0.4?\n | -0.4\n | ibivibiv/math_instruct | |
Let y = -4 - -61. Let l = 66 - y. Solve -d - l = 2*d for d.\n | -3\n | ibivibiv/math_instruct | |
Convert 0.2525785 nanograms to kilograms.\n | 0.0000000000002525785\n | ibivibiv/math_instruct | |
What is next in -420, -429, -450, -489, -552, -645, -774?\n | -945\n | ibivibiv/math_instruct | |
Let u = -14 + 13. Let x(c) be the third derivative of 5*c**4/24 + c**3/6 - 2*c**2. Calculate x(u).\n | -4\n | ibivibiv/math_instruct | |
Expand -3*y - y**2 + 3*y + (24 - 11*y**2 - 24 - 3*y)*(0 - 2 + 0).\n | 21*y**2 + 6*y\n | ibivibiv/math_instruct | |
What is the highest common factor of 3234 and 2181088?\n | 98\n | ibivibiv/math_instruct | |
Let z(w) = w**3 - 7*w**2 - 4*w + 11. Give z(8).\n | 43\n | ibivibiv/math_instruct | |
Simplify sqrt(448) - (sqrt(448)*-4 + 3)**2 - sqrt(448) - (sqrt(112) + (sqrt(112)*2)**2 + (sqrt(7) - (sqrt(847) + 1*sqrt(847)))).\n | -7625 + 209*sqrt(7)\n | ibivibiv/math_instruct | |
Let s = 0.1 - -2.9. Let o = 28/1629 - -4775/6516. Which is the third smallest value? (a) 5 (b) s (c) o (d) -3/5\n | b\n | ibivibiv/math_instruct | |
Let g(v) = -258*v + 1. What is g(0)?\n | 1\n | ibivibiv/math_instruct | |
What is the tens digit of 5819?\n | 1\n | ibivibiv/math_instruct | |
Let h(w) be the third derivative of w**7/140 + w**6/80 - 6*w**2. What is x in h(x) = 0?\n | -1, 0\n | ibivibiv/math_instruct | |
Suppose p - 5*p = 440. Let w(j) = -2*j**2 - 2*j - 5. Let k be w(-5). Let m = k - p. What is the highest common divisor of 13 and m?\n | 13\n | ibivibiv/math_instruct | |
What is the units digit of 4668683?\n | 3\n | ibivibiv/math_instruct | |
Which is smaller: -4793593 or -4793590?\n | -4793593\n | ibivibiv/math_instruct | |
Let s = 4782299/7346496 + 3/38263. Find the common denominator of 131/576 and s.\n | 576\n | ibivibiv/math_instruct | |
List the prime factors of 133782738.\n | 2, 3, 22297123\n | ibivibiv/math_instruct | |
Let z be 3/(15/(-5)) - -1. Solve 0 = -i + 3*d - 7, 0 = 3*i - z*i + 3*d - 3 for i.\n | -1\n | ibivibiv/math_instruct | |
What is the units digit of ((-4)/12)/((-3)/243)?\n | 7\n | ibivibiv/math_instruct | |
Let p = -54 + 3. Let i = 51.2 + p. Sort -4, 25, i in decreasing order.\n | 25, i, -4\n | ibivibiv/math_instruct | |
Expand (-44*t**4 + 21*t**4 + 3*t - 2*t**2 + 21*t**4)*(-217 + 115 + 130)*(-2 - 1 + 4).\n | -56*t**4 - 56*t**2 + 84*t\n | ibivibiv/math_instruct | |
Calculate -162 divided by 9.\n | -18\n | ibivibiv/math_instruct | |
Collect the terms in -38*l**2 + 22*l**2 + 21*l**2.\n | 5*l**2\n | ibivibiv/math_instruct | |
Solve 341*x - 85*x = -578*x + 15*x + 22113 for x.\n | 27\n | ibivibiv/math_instruct | |
What is the nearest to 0.06 in -142, 18/95, 0.2, -2/5, 5?\n | 18/95\n | ibivibiv/math_instruct | |
2 divided by -12242\n | -1/6121\n | ibivibiv/math_instruct |
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