instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let v(z) = -226*z + 453. Determine v(2).\n | 1\n | ibivibiv/math_instruct | |
What are the prime factors of 4804340752?\n | 2, 47, 6388751\n | ibivibiv/math_instruct | |
-2.8 times -0.03\n | 0.084\n | ibivibiv/math_instruct | |
Let -3*p**3 - 225*p**2 + 2019*p + 2241 = 0. Calculate p.\n | -83, -1, 9\n | ibivibiv/math_instruct | |
Evaluate (3 + -1 - -5 - -2) + -6.\n | 3\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 e, 1 s, and 1 w when three letters picked without replacement from seyvevwyeseweweeeeve.\n | 1/19\n | ibivibiv/math_instruct | |
Expand (139*n + 159*n + 21*n + 3*n + n - 5*n + (2 + 0 + 0)*(-3*n - n + 2*n))*(-4 + 7 - 4).\n | -314*n\n | ibivibiv/math_instruct | |
Let r(k) = -4*k + 4*k - 164*k**2 + 150*k**2. Let v(f) = f + 5. Let x be v(-3). Let a(m) = -m**x + 6*m**2 - m**2 - 3*m**2. Calculate a(r(z)).\n | 196*z**4\n | ibivibiv/math_instruct | |
What is prob of sequence mf when two letters picked without replacement from {f: 1, h: 1, m: 5, g: 3, x: 10}?\n | 1/76\n | ibivibiv/math_instruct | |
Let t be (28/(-6))/((-10)/75). Suppose 11 - t = -3*j. What is the remainder when 1/(0 - 1)*-22 is divided by j?\n | 6\n | ibivibiv/math_instruct | |
Convert 216a7 (base 12) to base 8.\n | 126237\n | ibivibiv/math_instruct | |
Let m(d) = -28*d**3 + 164*d**2 + 13*d + 50. Calculate m(6).\n | -16\n | ibivibiv/math_instruct | |
Let t = 49 + -23. What is the remainder when 101 is divided by t?\n | 23\n | ibivibiv/math_instruct | |
What is 681636.1 micrograms in kilograms?\n | 0.0006816361\n | ibivibiv/math_instruct | |
Let a(t) = t**3 - 14*t**2 - 30*t - 32. Determine a(16).\n | 0\n | ibivibiv/math_instruct | |
What comes next: 1479, 2246, 3013, 3780, 4547?\n | 5314\n | ibivibiv/math_instruct | |
Let o(d) = d**3 + 13*d**2 - 557*d - 6366. What is o(-11)?\n | 3\n | ibivibiv/math_instruct | |
Let i be 4/(-14) - 74/(-14). Suppose -f - 16*f**5 - i*f - 56*f**4 + 4*f + 9*f**2 - 28*f**2 - 57*f**3 = 0. What is f?\n | -2, -1, -1/4, 0\n | ibivibiv/math_instruct | |
What is 2132.37 grams in tonnes?\n | 0.00213237\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-12.3154 * 50.2805) * -21.4006 | 13251.7752 | ibivibiv/math_instruct | |
What is 863 to the power of 1/2, to the nearest integer?\n | 29\n | ibivibiv/math_instruct | |
Solve -8*n**5/9 + 266*n**4/9 - 326*n**3/3 - 266*n**2/9 + 986*n/9 = 0 for n.\n | -1, 0, 1, 17/4, 29\n | ibivibiv/math_instruct | |
Is 15 a factor of 1468?\n | False\n | ibivibiv/math_instruct | |
Let c(p) = -4*p**3 + p**2 + p. Let s be c(-1). Solve x + s*g + 6 = 0, 2*x + 0*x - 1 = 5*g for x.\n | -2\n | ibivibiv/math_instruct | |
What is prob of picking 1 y and 1 j when two letters picked without replacement from {j: 2, y: 10}?\n | 10/33\n | ibivibiv/math_instruct | |
Suppose 6*p - 14 = 2*y, 8*p + 4 = 5*y + 6*p. Solve 4*a - 15 = 3*x, 2*x = -y*a + x + 5 for a.\n | 3\n | ibivibiv/math_instruct | |
What is 0.008131 plus 94?\n | 94.008131\n | ibivibiv/math_instruct | |
What is 2035515 (base 7) in base 13?\n | 87378\n | ibivibiv/math_instruct | |
Calculate prob of sequence rr when two letters picked without replacement from {r: 3, s: 1}.\n | 1/2\n | ibivibiv/math_instruct | |
((-1)/20)/((-20)/(-50))\n | -1/8\n | ibivibiv/math_instruct | |
Put -4, 18, 12/55, 3 in descending order.\n | 18, 3, 12/55, -4\n | ibivibiv/math_instruct | |
Expand (5*v**5 - v**5 - 5*v**5)*(-1 - 4 + 3) + (0 - 2 + 3)*(-24 + 7 + 10)*(2 - 2 + v**5) + 4*v**5 - v**5 - v**5 + (-5*v**5 + v**5 + 2*v**5)*(-6 + 0 + 1).\n | 7*v**5\n | ibivibiv/math_instruct | |
Let p = 6 - 6. Let g(a) be the third derivative of 0 + 1/24*a**4 - a**2 + 1/2*a**3 + 0*a. Give g(p).\n | 3\n | ibivibiv/math_instruct | |
To transmit a positive integer less than 1000, the Networked Number Node offers two options.
Option 1. Pay $\$$d to send each digit d. Therefore, 987 would cost $\$$9 + $\$$8 + $\$$7 = $\$$24 to transmit.
Option 2. Encode integer into binary (base 2) first, and then pay $\$$d to send each digit d. Therefore, 987 beco... | To solve this problem, we need to determine the value of x, which represents the missing digit in the binary representation of 503.
Let's break down the information given:
Option 1 cost: $\$$24
Option 2 cost: $\$$8
Largest integer less than 1000: 503
We can set up the equation as follows:
Option 1 cost = Option 2 cost
... | ibivibiv/math_instruct | |
Evaluate (1/((-95)/(-38)))/(-2).\n | -1/5\n | ibivibiv/math_instruct | |
Suppose 2 - 20 = 2*c. Calculate the smallest common multiple of c/(-15) - 42/(-5) and 6.\n | 18\n | ibivibiv/math_instruct | |
How many nanograms are there in three eighths of a microgram?\n | 375\n | ibivibiv/math_instruct | |
Let j = 45 + -44.8. Suppose -6 = 12*l + 6. Let z be (1 + l/2)/((-27)/(-162)). What is the nearest to 1/12 in j, z, -3/5?\n | j\n | ibivibiv/math_instruct | |
Suppose 2*x + 4 - 12 = 0. Suppose x*q = 9*q - 970. What is the units digit of q?\n | 4\n | ibivibiv/math_instruct | |
Let g(y) = y**3 - 9*y**2 + 5*y - 11. Let x(r) = -r**3 + 8*r**2 - 6*r + 12. Let z(f) = -2*g(f) - 3*x(f). Let l be z(5). Is 1/56 > l?\n | False\n | ibivibiv/math_instruct | |
Simplify -4 + (((sqrt(300) + (sqrt(300) - 1*sqrt(300)) + sqrt(300) - sqrt(300)) + sqrt(300))/sqrt(6))/(4*sqrt(160)).\n | -4 + sqrt(5)/8\n | ibivibiv/math_instruct | |
Let w(c) = -c + 11. Let r be w(8). Suppose -5*i = 4*n - 25, -4*i = -5*i - r. What is the tens digit of n?\n | 1\n | ibivibiv/math_instruct | |
171 * -0.3\n | -51.3\n | ibivibiv/math_instruct | |
b"What is the cth term of -175213, -350424, -525635, -700846?\n" | -175211*c - 2\n | ibivibiv/math_instruct | |
Let t be (-104)/(-6)*6/4. Suppose -30 = -d - d + j, -d + t = 5*j. Let i be (9/(-6))/(12/d). Which is bigger: i or 0.1?\n | 0.1\n | ibivibiv/math_instruct | |
What is the closest to 3 in -1, 5, 4?\n | 4\n | ibivibiv/math_instruct | |
Simplify (((x/(x**(-1)*x))/x*x)**(-1/32))**(-20/9) assuming x is positive.\n | x**(5/72)\n | ibivibiv/math_instruct | |
What is 6 less than -2360.9?\n | -2366.9\n | ibivibiv/math_instruct | |
Let x(p) be the third derivative of -p**6/360 - p**5/180 + 5*p**4/9 + 56*p**3/9 - 2133*p**2. Let x(l) = 0. Calculate l.\n | -4, 7\n | ibivibiv/math_instruct | |
Let p(d) be the third derivative of -d**8/168 + 2*d**7/35 - 2*d**6/15 - d**5/15 + 3*d**4/4 - 4*d**3/3 - 10*d**2 + 12*d. Factor p(i).\n | -2*(i - 4)*(i - 1)**3*(i + 1)\n | ibivibiv/math_instruct | |
Find the common denominator of 149/36 and -95/1062.\n | 2124\n | ibivibiv/math_instruct | |
Let k be 15*(54/(-15) - -4). Let s = k + -7. Let b be (1 + s + 3)*-1. Is b >= -5?\n | True\n | ibivibiv/math_instruct | |
In base 4, what is 2202331 + -22?\n | 2202303\n | ibivibiv/math_instruct | |
Suppose 5990137 = -b - 395863. What is b rounded to the nearest 1000000?\n | -6000000\n | ibivibiv/math_instruct | |
Let q(x) = -x - 15. Let a be 121/(-7) + (-8)/(-28). Let y be q(a). What is g in y*g - 6*g + g**2 - 13 + 17 = 0?\n | 2\n | ibivibiv/math_instruct | |
Convert 165e7 (base 15) to base 12.\n | 35961\n | ibivibiv/math_instruct | |
Find the second derivative of -125587*s**3 - 52789*s wrt s.\n | -753522*s\n | ibivibiv/math_instruct | |
Let a(u) = -116*u**2 + 482*u. Let n be a(2). Calculate the greatest common factor of n and 300.\n | 100\n | ibivibiv/math_instruct | |
Calculate prob of sequence iidu when four letters picked without replacement from {d: 1, i: 2, y: 1, z: 5, u: 1}.\n | 1/2520\n | ibivibiv/math_instruct | |
Suppose 0 = -3*c - 2 - 4. Let r = 10 - 7. Suppose -g = 3*g - 2*f - 2, r*g + 11 = -f. Is c greater than or equal to g?\n | True\n | ibivibiv/math_instruct | |
Sort 1, 76, 2, 5 in increasing order.\n | 1, 2, 5, 76\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 4120 and 40.\n | 40\n | ibivibiv/math_instruct | |
Is 167 a factor of 8359015512?\n | False\n | ibivibiv/math_instruct | |
What is 27755 to the power of 1/10, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
What is the result of the following expression?
49.6842 - 8.0642 | 41.6200 | ibivibiv/math_instruct | |
Let z(y) = -15*y + 3. Let m(x) be the third derivative of 65*x**4/8 - 20*x**3/3 - 2281*x**2. What is -3*m(p) - 40*z(p)?\n | 15*p\n | ibivibiv/math_instruct | |
Let v = 180 - 164. Suppose -2*x + v = -10. What is the highest common divisor of x and 65?\n | 13\n | ibivibiv/math_instruct | |
Let d(w) = 3*w + 49. Let c be d(-15). What is the highest common divisor of 12 and c?\n | 4\n | ibivibiv/math_instruct | |
Let t = 1.25438 - 1.25. Round t to 3 decimal places.\n | 0.004\n | ibivibiv/math_instruct | |
Expand (-3 - 2 + 0)*(-2*f - 12*f + 4*f)*(-75*f**4 + 217*f**4 + 25*f**4).\n | 8350*f**5\n | ibivibiv/math_instruct | |
What is the smallest value in -2, -4/9, -17, -3, 0.5?\n | -17\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 48 and 2640.\n | 2640\n | ibivibiv/math_instruct | |
Let i(n) = 123*n - 69. Let s be i(2). Suppose 12 = 3*v - s. Calculate the remainder when 212 is divided by v.\n | 23\n | ibivibiv/math_instruct | |
Solve 33*l - 8316 = 62*l + 38*l + 122*l for l.\n | -44\n | ibivibiv/math_instruct | |
Let i(w) = w**2 + w + 3. Let z be i(0). Let h = 0.2 + 0.3. What is the third smallest value in -5, z, h?\n | z\n | ibivibiv/math_instruct | |
What is 194 minutes after 12:57 PM?\n | 4:11 PM\n | ibivibiv/math_instruct | |
12574 (base 10) to base 11\n | 94a1\n | ibivibiv/math_instruct | |
Suppose 0*h = 4*x + 5*h - 84, -2*x + 12 = -5*h. Calculate the remainder when 77 is divided by x.\n | 13\n | ibivibiv/math_instruct | |
Collect the terms in -38*v - 13*v - 13*v + 6347 + 19*v.\n | -45*v + 6347\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-66.926 / 74.85) + 0.137 | -0.7571 | ibivibiv/math_instruct | |
Let a(n) = 40*n**2 + n + 1. Let z be a(-1). Suppose 3*d + 24 = t, 0*t = 3*t - d - z. Calculate the greatest common factor of 84 and t.\n | 12\n | ibivibiv/math_instruct | |
Suppose -24 = 19*u - 632. Let w = 1109 + u. List the prime factors of w.\n | 7, 163\n | ibivibiv/math_instruct | |
What is 195 minutes before 3:43 PM?\n | 12:28 PM\n | ibivibiv/math_instruct | |
Let m = 75 - 45. Let s(o) = 6*o - 9. Let g(a) = a**2 + 1. Let w(c) = g(c) + s(c). Calculate the remainder when m is divided by w(-8).\n | 6\n | ibivibiv/math_instruct | |
Rearrange -17*l**3 - 2*l + 3*l**3 + 0 + 25*l**3 + 1 to the form q*l**3 + x*l + r*l**2 + u and give u.\n | 1\n | ibivibiv/math_instruct | |
Let h = -0.9 + -0.1. Let g = -119/12 + 39/4. Let f(w) = -w**3 + 4*w**2 + 3*w - 10. Let z be f(4). Put z, h, g in descending order.\n | z, g, h\n | ibivibiv/math_instruct | |
Let t = -1033/3 - -344. Which is smaller: -159 or t?\n | -159\n | ibivibiv/math_instruct | |
Let v(p) = 18*p**2 + 2*p + 3. Let m(n) = 36*n**2 + 4*n + 7. Calculate -3*m(b) + 7*v(b).\n | 18*b**2 + 2*b\n | ibivibiv/math_instruct | |
Collect the terms in 157*u - 3940*u - 1646*u.\n | -5429*u\n | ibivibiv/math_instruct | |
What is thirty-three fifths of a litre in millilitres?\n | 6600\n | ibivibiv/math_instruct | |
If p / q is an integer, which of the following statements must be true?
Answer Choices: (A) p = nq where n is an integer (B) both p and q are integers (C) q / p is an integer (D) either p or q is negative (E) p is an integer | Lets think about the multi-choice question step by step.
Let p = 1/4; q = 1/8 --> p/q = 2
p = nq where n is an integer --> 1/4 = 2*(1/8) --> Correct
The answer is A | ibivibiv/math_instruct | |
Simplify (t**2)**(-40) assuming t is positive.\n | t**(-80)\n | ibivibiv/math_instruct | |
b"What is the vth term of 10, 17, 26, 37, 50, 65, 82?\n" | v**2 + 4*v + 5\n | ibivibiv/math_instruct | |
What is the value of ((48/160)/((-3)/2))/(30/(-675))?\n | 9/2\n | ibivibiv/math_instruct | |
What comes next: 1147, 2539, 4075, 5755, 7579?\n | 9547\n | ibivibiv/math_instruct | |
Suppose 31*p - n = 27*p + 74, -5*n - 66 = -4*p. Solve -5*l - p = 2*d, 4*l + d = 6*d - 35 for l.\n | -5\n | ibivibiv/math_instruct | |
Let p(i) = 48883*i. Let g(m) = -48*m**2. Determine g(p(q)).\n | -114698289072*q**2\n | ibivibiv/math_instruct | |
Suppose 7 = i + 3. Let h be (-3 - -2)/(20/i). Let w = 17.6 + -18. Which is the nearest to -2? (a) -0.1 (b) w (c) h\n | b\n | ibivibiv/math_instruct | |
Convert 9a60 (base 15) to base 7.\n | 164244\n | ibivibiv/math_instruct | |
What is -8427040 divided by -8495?\n | 992\n | ibivibiv/math_instruct |
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