instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
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|---|---|---|---|
What is the units digit of 29099?\n | 9\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Number Pattern
• Oct 11th 2012, 08:13 AM
KayPee
Number Pattern
The numbers in the brackets follow the same pattern
[2,6,24] [3,2,15] [7,5,X]
Find the value of X
• Oct 12th 2012, 01:40 PM
Soroban
Re: Number Pattern
Hello,... | Number patterns are sequences of numbers that follow a logical rule or set of rules. These patterns can often be described using mathematical functions or formulas. Identifying and analyzing number patterns is an important skill in mathematics, as it allows us to make predictions and draw conclusions based on the give... | ibivibiv/math_instruct | |
Let d be ((-4)/(-2) + 2*-1)/2. Solve 2/9*v**2 - 2/9 + d*v = 0 for v.\n | -1, 1\n | ibivibiv/math_instruct | |
Let t = 15 - 32. Let j = -2 - t. Calculate the greatest common divisor of 15 and j.\n | 15\n | ibivibiv/math_instruct | |
Express 3*r**4 + 12*r**3 + 16*r**3 - 18*r**3 + 3 - 3*r**4 + r**4 - 2*r**2 as f + u*r**3 + y*r**4 + b*r + s*r**2 and give y.\n | 1\n | ibivibiv/math_instruct | |
What is the units digit of 1029?\n | 9\n | ibivibiv/math_instruct | |
Let h(z) = z**2 - 25*z + 57. Let y be h(20). Let r be ((-17)/(-33))/1 + y/129. Put -0.1, -3, r, -32 in descending order.\n | r, -0.1, -3, -32\n | ibivibiv/math_instruct | |
What is the closest to 1 in -5, -1/4, 0.1, -200?\n | 0.1\n | ibivibiv/math_instruct | |
Collect the terms in -1 - 2 + 4*p - 4*p + 1304*p**2 - 1301*p**2.\n | 3*p**2 - 3\n | ibivibiv/math_instruct | |
Let s(x) = -334*x + 141. What is s(2)?\n | -527\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 17714 and 797.\n | 14118058\n | ibivibiv/math_instruct | |
What is the total number of students in Mishas grade if she is both the 50th best and the 50th worst student? | If Misha is the 50th best student, then there are 49 students better than her.
If Misha is the 50th worst student, then there are 49 students worse than her.
Since Misha is both the 50th best and the 50th worst student, there must be a total of $49+49+1=\boxed{99}$ students in her grade.The answer is: 99 | ibivibiv/math_instruct | |
Simplify ((sqrt(19) + -5 + (sqrt(19) - sqrt(19)*3 - sqrt(19)) - sqrt(19)) + -3 + sqrt(475))**2.\n | -32*sqrt(19) + 140\n | ibivibiv/math_instruct | |
What is the common denominator of -73/1398546 and -83/144?\n | 11188368\n | ibivibiv/math_instruct | |
Let s be 6/(-33) + (-114752)/(-633798). Which is greater: -1 or s?\n | s\n | ibivibiv/math_instruct | |
Let u be 2/(-66)*(-15)/10. Let i(v) be the first derivative of 0*v**2 + 0*v - 2/33*v**3 + 2 + u*v**4. Factor i(f).\n | 2*f**2*(f - 1)/11\n | ibivibiv/math_instruct | |
Let q = -849 + 849. Let g(t) be the third derivative of 1/20*t**5 + q*t + 0*t**4 - t**2 + 0 + 0*t**3. Let n(m) = 3*m**2. Give n(g(l)).\n | 27*l**4\n | ibivibiv/math_instruct | |
Let i(p) = -p. Let v(z) = -365*z**2 + 20. Let g(d) = 52*d**2 - 3. Let t(u) = 20*g(u) + 3*v(u). Determine i(t(j)).\n | 55*j**2\n | ibivibiv/math_instruct | |
What is the second derivative of -2925*u*y**3 - 6701*u*y + 2*y**2 wrt y?\n | -17550*u*y + 4\n | ibivibiv/math_instruct | |
Express 0*x**2 + 68 - 2*x**4 - 64 - 2*x**2 - 2*x + 3*x**2 in the form h + p*x**4 + b*x**2 + g*x**3 + m*x and give m.\n | -2\n | ibivibiv/math_instruct | |
What is the first derivative of -p*q**2*x - 4*p*x + 2*q**2*x - 50*q*x + 39*x wrt q?\n | -2*p*q*x + 4*q*x - 50*x\n | ibivibiv/math_instruct | |
Find the third derivative of -2*m**4 + 3*m**4 - 38*m**2 - 827*m + 827*m - 6 + 662*m**5 wrt m.\n | 39720*m**2 + 24*m\n | ibivibiv/math_instruct | |
Let v = -27 + 32. Let s be (-2)/3 + (-5)/(-21). What is the smallest value in v, s, -0.5?\n | -0.5\n | ibivibiv/math_instruct | |
Simplify k**(-1/12)/(k*k**(2/17))*(k*k**(2/5)*k)**30 assuming k is positive.\n | k**(14443/204)\n | ibivibiv/math_instruct | |
Calculate (-9)/45 - (314/(-70) - -4).\n | 2/7\n | ibivibiv/math_instruct | |
Express 11 - 727*j + 15 - 31 + 5 in the form w*j + p and give w.\n | -727\n | ibivibiv/math_instruct | |
Evaluate 252/10*(16046/(-497) + 33).\n | 18\n | ibivibiv/math_instruct | |
What is prob of sequence hhzz when four letters picked without replacement from {z: 3, w: 4, d: 1, h: 5}?\n | 1/143\n | ibivibiv/math_instruct | |
Which is the second smallest value? (a) -4 (b) 132 (c) -2/27\n | c\n | ibivibiv/math_instruct | |
Let u = 1.979 - -0.401. Let w = u - 2.08. Let r = 4/9 + -7/36. What is the biggest value in w, r, -0.1, 0.4?\n | 0.4\n | ibivibiv/math_instruct | |
Solve -a**4 - 663*a**3 - 1980*a**2 = 0.\n | -660, -3, 0\n | ibivibiv/math_instruct | |
Total of -116531.8828 and -0.0245.\n | -116531.9073\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-94.107 / -16.58) * -48.581 | -275.7426 | ibivibiv/math_instruct | |
Let o(f) = f**2 + 8*f + 34. Let s(v) = 9*v + 33. Give -3*o(t) + 2*s(t).\n | -3*t**2 - 6*t - 36\n | ibivibiv/math_instruct | |
What is next in -7, 13, 47, 95, 157, 233, 323?\n | 427\n | ibivibiv/math_instruct | |
Is 2237671 a prime number?\n | True\n | ibivibiv/math_instruct | |
Let c(b) = -b**3 - 14*b**2 - 63*b - 197. Determine c(-8).\n | -77\n | ibivibiv/math_instruct | |
Let f = 1 + 1. Suppose f*k - 876 = 4*r, 2*r - 3*k - k + 438 = 0. Find the common denominator of -113/10 and r/(-42) + 2/7.\n | 10\n | ibivibiv/math_instruct | |
Let y(r) = 4*r**2 - 11*r**2 - 25*r**2. Let z(x) = -819*x + 1648*x - 828*x. What is y(z(d))?\n | -32*d**2\n | ibivibiv/math_instruct | |
Calculate (((-2268)/(-105))/(-18))/((-2)/5).\n | 3\n | ibivibiv/math_instruct | |
In base 16, what is 5a + 3?\n | 5d\n | ibivibiv/math_instruct | |
What is the third derivative of -13*o**3 + 240*o**3 - 307*o**2 + 98*o**2 + 34*o**2 - 281*o**2 wrt o?\n | 1362\n | ibivibiv/math_instruct | |
Suppose -23344 + 8544 = -5*p. What is p rounded to the nearest one hundred?\n | 3000\n | ibivibiv/math_instruct | |
What is the cube root of 97787963 to the nearest integer?\n | 461\n | ibivibiv/math_instruct | |
Let 2*s**4/13 - 1192*s**3/13 + 123158*s**2/13 = 0. What is s?\n | 0, 133, 463\n | ibivibiv/math_instruct | |
Calculate (-21 + -1 - -27) + 17.\n | 22\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 24732 and 182513.\n | 229\n | ibivibiv/math_instruct | |
Let x = -0.2631 + 0.5631. Which is the third smallest value? (a) x (b) 7 (c) -13\n | b\n | ibivibiv/math_instruct | |
Simplify (-1 + -6*-4*(-2*-1*sqrt(432) + 3 + (sqrt(432) + 0)**2 + 4))*5.\n | 2880*sqrt(3) + 52675\n | ibivibiv/math_instruct | |
Let x(f) = 5*f**2 + 8*f - 4. Let l be -4*1*(-3)/(-2). Let r be x(l). Calculate the highest common factor of r and 16.\n | 16\n | ibivibiv/math_instruct | |
Let l(y) = 6*y**2 + 434*y + 192. Let p be l(-25). Which is smaller: p or -6910?\n | -6910\n | ibivibiv/math_instruct | |
Sort -3, -8, -603, 1, 2.\n | -603, -8, -3, 1, 2\n | ibivibiv/math_instruct | |
What is the common denominator of 56/74259 and 2/4237?\n | 1410921\n | ibivibiv/math_instruct | |
List the prime factors of (24876/(-360) + 2/(-5))*-6.\n | 3, 139\n | ibivibiv/math_instruct | |
Simplify (sqrt(132)/sqrt(176) - (sqrt(48)*-4 + sqrt(12))) + -4 + 2 + (((sqrt(90)/sqrt(6))/sqrt(5))**2 - ((sqrt(6) - sqrt(24)/sqrt(4))/sqrt(2))**2).\n | 1 + 29*sqrt(3)/2\n | ibivibiv/math_instruct | |
Three letters picked without replacement from rrrarrnarraarrrrrrar. Give prob of picking 2 r and 1 a.\n | 91/228\n | ibivibiv/math_instruct | |
Evaluate (1/(-5))/((-306)/(-510)).\n | -1/3\n | ibivibiv/math_instruct | |
Let r = -9.9 - -50.9. Let a = r - 38. Let u = 3.00325 - a. Round u to 4 dps.\n | 0.0033\n | ibivibiv/math_instruct | |
Let w(c) = 1. Let z(j) = -j - 2. Let x(m) = -5*w(m) - 3*z(m). Let t be (-5)/(((-20)/(-5))/4). Calculate x(t).\n | -14\n | ibivibiv/math_instruct | |
Round -0.532 to one dp.\n | -0.5\n | ibivibiv/math_instruct | |
Rearrange (-377*m + 186*m + 45 + 188*m)*(3 + 4*m - 3)*(4 + 5 - 3) + (-m + m - 2*m)*(0 + 0 + m) to j*m**2 + x + l*m and give l.\n | 1080\n | ibivibiv/math_instruct | |
Let n(t) = -20*t - 81. Let m(r) = -26*r - 82. Let d(s) = 4*m(s) - 5*n(s). Let p be d(17). Solve i = -4*o - 2*i + 9, 3*o + 3*i - p = 0 for o.\n | 0\n | ibivibiv/math_instruct | |
Is 144899 composite?\n | False\n | ibivibiv/math_instruct | |
What is the second derivative of 312064775*u**2 + 15511585*u - 5?\n | 624129550\n | ibivibiv/math_instruct | |
Let y = 4 + 4. Suppose -3*h = 5*d + 3 - 15, -2*d = 2*h - y. Let x be (-6 - d)/(-1) - -2. Solve -3*b - 20 = -x for b.\n | -4\n | ibivibiv/math_instruct | |
-10001011011 (base 2) to base 9\n | -1468\n | ibivibiv/math_instruct | |
Let v = 13.8 - 14. Which is the nearest to -1? (a) -3 (b) 0.5 (c) v\n | c\n | ibivibiv/math_instruct | |
Let i(o) = 14244*o - 5783066. Calculate i(406).\n | -2\n | ibivibiv/math_instruct | |
Simplify (d/(d*d**(-6)*d)*d/(d*(d*(d/(d**(-2/7)*d))/d*d)/d))**(-1/14)/((d**0*d)**(-1/27))**(35/6) assuming d is positive.\n | d**(-479/3969)\n | ibivibiv/math_instruct | |
What comes next: -656140612, -1312281222, -1968421832, -2624562442, -3280703052?\n | -3936843662\n | ibivibiv/math_instruct | |
Divide -96443380 by -340.\n | 283657\n | ibivibiv/math_instruct | |
Let f = -0.89 - -0.09. Let d = 0.808 + f. Round d to 3 dps.\n | 0.008\n | ibivibiv/math_instruct | |
Let x = 161 - 131. Suppose x = 4*v - 2*y, -v = 3*v + 3*y - 5. Suppose -5*m = -3*n + 248710 - 1394720, -1909996 = v*n + 2*m. Round n to the nearest 10000.\n | -380000\n | ibivibiv/math_instruct | |
Let s = 27 + -24. Let f(l) be the third derivative of -l**4/12 + l**2. Determine f(s).\n | -6\n | ibivibiv/math_instruct | |
Solve 2*k = -20870531*p + 20870534*p + 51, 4*k - 3*p = 105 for k.\n | 27\n | ibivibiv/math_instruct | |
A tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. He can spend 15 checks of $50 denominations so that the average amount (arithmetic mean) of the remaining travelers checks is a certain amount. What is the average amount of the remaining ... | Lets denote the number of $50 travelers checks as x and the number of $100 travelers checks as y. We are given two equations:
1) x + y = 30 (since the tourist purchased a total of 30 travelers checks)
2) 50x + 100y = 1800 (since the total worth of the travelers checks is $1800)
We can solve these equations simultaneo... | ibivibiv/math_instruct | |
Let m(f) = -12*f**2 - 2 - 7*f**3 - 2 + 11*f**3 + 5*f**3 + 15*f. Let j be m(12). What is j rounded to the nearest ten thousand?\n | 10000\n | ibivibiv/math_instruct | |
What is next in -2245, -4489, -6733, -8977, -11221, -13465?\n | -15709\n | ibivibiv/math_instruct | |
What is a (base 13) in base 11?\n | a\n | ibivibiv/math_instruct | |
What is the closest to -1 in 22, 3, 4?\n | 3\n | ibivibiv/math_instruct | |
Calculate ((288/54)/16)/((-4)/(-3)).\n | 1/4\n | ibivibiv/math_instruct | |
Suppose 11*q - 52 = 80. Suppose 0 = 3*f + 2*g - 6, -f + 13*g = 9*g + q. Let a = -81 + 1055/13. Which is bigger: f or a?\n | a\n | ibivibiv/math_instruct | |
What is f in 2*f**3/7 + 2498*f**2/7 - 12568*f/7 - 5016 = 0?\n | -1254, -2, 7\n | ibivibiv/math_instruct | |
Suppose 3*g + 2*t + 29 = 0, -20 = 5*g + 5*t + 30. Let o be (-24)/g + 1 + -3. Let u = 1 + 0. Do u and o have the same value?\n | False\n | ibivibiv/math_instruct | |
Is 13 a factor of 15102152?\n | True\n | ibivibiv/math_instruct | |
Suppose -65 = -0*r + 5*r. Let h = r + 13. Suppose -2*k = -h*k + w - 160, -k + 80 = 5*w. What is the tens digit of k?\n | 8\n | ibivibiv/math_instruct | |
Let f = 1 + 0. Let k be -1*f + (116 - 5). Let n(l) = -l**3 + 6*l**2 - 2*l - 5. Let m be n(5). What is the greatest common factor of k and m?\n | 10\n | ibivibiv/math_instruct | |
Collect the terms in -43*u**2 + 44*u**2 + 0 + 0.\n | u**2\n | ibivibiv/math_instruct | |
What is 25279/1487 - 304/12?\n | -25/3\n | ibivibiv/math_instruct | |
Suppose 4*w - 59 + 7 = 0. Suppose -z = 3*i + 2*z - 9, 4*i = z - w. Let t(o) = -o**2 + 7*o - 7. Let m be t(6). Which is bigger: m or i?\n | m\n | ibivibiv/math_instruct | |
b"What is the vth term of 92, 198, 316, 452, 612, 802, 1028, 1296?\n" | v**3 + 99*v - 8\n | ibivibiv/math_instruct | |
Let o be (-28)/(-15) + 5 + -7. Suppose -2*v - a + 7 = v, -2*a = 5*v - 13. Is v <= o?\n | False\n | ibivibiv/math_instruct | |
Let q be 2*(3 - 2) - 2. Suppose q = 2*p + p. Suppose -t - 164 = -4*w, 3*w - 2*t + 22 - 145 = p. Does 12 divide w?\n | False\n | ibivibiv/math_instruct | |
Simplify (h**(2/13)/h**36)/(h**(-26/7)/h*h**(-23)/h) assuming h is positive.\n | h**(-649/91)\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 192 and 189.\n | 12096\n | ibivibiv/math_instruct | |
What is 315 minutes after 1:08 PM?\n | 6:23 PM\n | ibivibiv/math_instruct | |
Collect the terms in -2636*f**3 - 2639*f**3 + 7921*f**3 - 2649*f**3.\n | -3*f**3\n | ibivibiv/math_instruct | |
Four letters picked without replacement from scsscysysyssycsy. What is prob of picking 1 c and 3 y?\n | 3/182\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {a: 5, n: 5, w: 1}. Give prob of picking 1 a, 1 n, and 1 w.\n | 5/33\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 p, 1 z, and 1 b when four letters picked without replacement from znzzbznpznpznnzbnzzz.\n | 4/969\n | ibivibiv/math_instruct |
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