instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Which is the nearest to -5? (a) 0.05 (b) 0.2 (c) -2\n | c\n | ibivibiv/math_instruct | |
In base 10, what is -1 + 378105885?\n | 378105884\n | ibivibiv/math_instruct | |
Let x be 7/(-644)*4/15. Let n = 2798/115 - x. What is the common denominator of 1 + 10 + -9 + 228/(-40) and n?\n | 30\n | ibivibiv/math_instruct | |
Let m(p) = p**2 - 7*p + 1. Let x be m(7). Let q(l) = -l - 3. Let o be q(-7). Let d be 5*1*o/10. Which is greater: d or x?\n | d\n | ibivibiv/math_instruct | |
Convert 942450.6 centimeters to kilometers.\n | 9.424506\n | ibivibiv/math_instruct | |
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"# Thread: solving polynomial word problems
1. ## solving polynomial word problems
if anyone could help with any of these questions, it would really make my day!
question 1. When the polynomial mx^3-3x^2+nx+2 is divided by ... | Let's delve into the world of algebraic problem-solving and tackle the three challenging questions you've presented. By working through them step-by-step, I hope to instill both a deeper appreciation for the beauty of mathematics and the satisfaction that comes from cracking complex problems.
Question 1: We begin wit... | ibivibiv/math_instruct | |
Let s = -23 - -24.7. Let v = s + -1.4. Which is the closest to -0.1? (a) 2/5 (b) v (c) -2\n | b\n | ibivibiv/math_instruct | |
What is the third smallest value in -0.4, 2/5443, 58?\n | 58\n | ibivibiv/math_instruct | |
Let n(j) = -3*j**2. Let v(t) = t**2 - 6*t. Let c(a) = -a**2 + 6*a - 6. Let f be c(5). Let k(q) = 2*q - 2*q - q. Let x(l) = f*v(l) + 6*k(l). Calculate x(n(w)).\n | -9*w**4\n | ibivibiv/math_instruct | |
Let l(r) be the second derivative of -8*r**4/3 + r**2/2 - 26*r - 6. Calculate l(-1).\n | -31\n | ibivibiv/math_instruct | |
Let c(u) = u**3 - 11*u**2 + 4*u + 59. Give c(10).\n | -1\n | ibivibiv/math_instruct | |
What is prob of sequence mmmp when four letters picked without replacement from {q: 3, p: 1, b: 3, m: 3, s: 2, k: 1}?\n | 1/2860\n | ibivibiv/math_instruct | |
Calculate 13 + (-12)/(156/91).\n | 6\n | ibivibiv/math_instruct | |
What is the millions digit of 10931760?\n | 0\n | ibivibiv/math_instruct | |
Let p(u) = -u + 12. Let j be p(15). Let s = 50 - 59. Let r(q) = -q**3 - 10*q**2 - 8*q + 7. Let i be r(s). Sort j, -4, i in decreasing order.\n | i, j, -4\n | ibivibiv/math_instruct | |
How many centuries are there in thirty-seven halves of a millennium?\n | 185\n | ibivibiv/math_instruct | |
What is the units digit of 5845/10 - (-27)/(-18)?\n | 3\n | ibivibiv/math_instruct | |
Let t(g) = -3 + 6*g + 0 + 2 + 9*g**2. Let z(l) = -8*l**2 - 5*l + 1. Let o be 2 - (0/(-2) - 5). Determine o*z(y) + 6*t(y).\n | -2*y**2 + y + 1\n | ibivibiv/math_instruct | |
What is 0.38704427 rounded to three decimal places?\n | 0.387\n | ibivibiv/math_instruct | |
Expand (2*y**3 + 0*y**4 + 0*y**3 + y**4)*(-1 - 2*y + 1 + (2 + 2*y - 2)*(4 + 2 - 7)).\n | -4*y**5 - 8*y**4\n | ibivibiv/math_instruct | |
What comes next: -218, -471, -736, -1019, -1326, -1663?\n | -2036\n | ibivibiv/math_instruct | |
Let n = 26 - 25. Which is bigger: -4 or n?\n | n\n | ibivibiv/math_instruct | |
Let r = -201 + 115. Let j be (-18)/(-27) - r/6. Solve l = -m + 7, -j = -4*l - l for m.\n | 4\n | ibivibiv/math_instruct | |
List the prime factors of 4266.\n | 2, 3, 79\n | ibivibiv/math_instruct | |
Let r(o) = -5*o + 4. Let l = 109 + -113. Give r(l).\n | 24\n | ibivibiv/math_instruct | |
What is 31.28335 millilitres in litres?\n | 0.03128335\n | ibivibiv/math_instruct | |
Convert 0.2559704 years to decades.\n | 0.02559704\n | ibivibiv/math_instruct | |
What is the fourth biggest value in -5, 0.1313, -2, -1/5?\n | -5\n | ibivibiv/math_instruct | |
Suppose -4*w + 8 = -20. Let d(a) = 4*a - 8. Is d(w) a multiple of 4?\n | True\n | ibivibiv/math_instruct | |
Let j(c) = -c**3 - 8*c**2 - 7*c + 5. Calculate j(-7).\n | 5\n | ibivibiv/math_instruct | |
Is 24862477 prime?\n | False\n | ibivibiv/math_instruct | |
Let k(s) = -s - 5. Suppose 0*x - 5*x + 15 = 0, 2*h + 28 = 4*x. Let f be k(h). Determine y so that 0*y + 0*y**f + 0*y**2 - 1/4*y**4 + 0 = 0.\n | 0\n | ibivibiv/math_instruct | |
Let t be (-9)/(-2*12/8). Let q(l) be the second derivative of -l + 1/48*l**4 + 1/80*l**5 + 0 + 0*l**2 - 1/12*l**t. Factor q(h).\n | h*(h - 1)*(h + 2)/4\n | ibivibiv/math_instruct | |
Suppose -6456447 = -6*j - 21*j + 14371974. Is j composite?\n | True\n | ibivibiv/math_instruct | |
What is the third smallest value in 321/34, 0.025, 0?\n | 321/34\n | ibivibiv/math_instruct | |
Let k be 894/45 + 54/405. Solve 15*y - 10*y = -k for y.\n | -4\n | ibivibiv/math_instruct | |
How many minutes are there between 7:44 PM and 6:02 AM?\n | 618\n | ibivibiv/math_instruct | |
Expand z**4 - 3 + 3 + (-2 - z**3 + 2)*(1 - z - 1) + z**4 + 3*z**4 - 5*z**4 + (31*z**2 - 10*z**3 - 31*z**2)*(-4*z + 0*z + 2*z) - 124*z + 124*z - 3*z**4.\n | 18*z**4\n | ibivibiv/math_instruct | |
Let i be 0 + -4 - (17 - 22). Let x be 27 - 2/(i + 0). Solve -a = -6*a - x for a.\n | -5\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 g and 1 l when two letters picked without replacement from kllkgpkk.\n | 1/14\n | ibivibiv/math_instruct | |
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"GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 15 Jul 2018, 23:33
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and sugges... | The Over-the-Counter (OTC) market is a decentralized financial exchange where securities not listed on major exchanges like the New York Stock Exchange (NYSE) or NASDAQ are traded. These unlisted securities often involve thinly traded stocks, derivatives, or other financial instruments. A unique feature of OTC markets... | ibivibiv/math_instruct | |
Evaluate -1 - (-9 + 6 + -2) - -3.\n | 7\n | ibivibiv/math_instruct | |
Let y = 10 + -11. What is the units digit of (-1 + 4)*(y - -2)?\n | 3\n | ibivibiv/math_instruct | |
Suppose 5*d + 3*z = 109, 2*z = z + 3. What is the lowest common multiple of d and 6?\n | 60\n | ibivibiv/math_instruct | |
Rearrange (-1 + 1 + 2)*(8*q**2 - 3*q**3 + q**3 - 11*q**2 + 1)*(-654 - 15*q + 654) to the form p + c*q**3 + b*q**2 + j*q + k*q**4 and give j.\n | -30\n | ibivibiv/math_instruct | |
What is the units digit of 652730?\n | 0\n | ibivibiv/math_instruct | |
Suppose 5*j = -1 + 16. Let h(x) be the first derivative of 2/3*x**2 + 1 + 4/3*x + 1/9*x**j. Find p such that h(p) = 0.\n | -2\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-2.8 - -0.36 | -2.44 | ibivibiv/math_instruct | |
Let m(q) = -q**2 + q + 4. Let l be m(0). Let o be (-1 + l)*13/3. Let x(z) = -10*z + 20. Let s be x(o). What is s rounded to the nearest 100?\n | -100\n | ibivibiv/math_instruct | |
Evaluate (1/(-3))/(((-1530)/(-432))/85).\n | -8\n | ibivibiv/math_instruct | |
Expand 2*c - 2*c - 2*c + (-29 - 50 + 31)*(-14*c - 37*c - 6*c).\n | 2734*c\n | ibivibiv/math_instruct | |
Find h such that 3*h**5 - 102*h**4 + 858*h**3 - 2388*h**2 + 2595*h - 966 = 0.\n | 1, 2, 7, 23\n | ibivibiv/math_instruct | |
What is the value of ((-2310)/(-88) - 30)*2/(-20) + (-1780)/4832?\n | 1/151\n | ibivibiv/math_instruct | |
What is 6/15*(511/14 - 4)?\n | 13\n | ibivibiv/math_instruct | |
Is 139 a factor of 3137?\n | False\n | ibivibiv/math_instruct | |
What is the third root of 1694135 to the nearest integer?\n | 119\n | ibivibiv/math_instruct | |
James buys steaks for buy one get one free. The price is $15 per pound and he buys 20 pounds. How much did he pay for the steaks? | James buys 20 pounds of steak, and its buy one get one free, so he is actually paying for 10 pounds of steak.
The price is $15 per pound, so he paid 10 pounds * $15 per pound = $150 for the steaks.
#### 150
The answer is: 150 | ibivibiv/math_instruct | |
Suppose -8*t + 8 = -4*t. Suppose t*r + 81 = 3*r. Is 26 a factor of r?\n | False\n | ibivibiv/math_instruct | |
Let p = -272623.4 + 272608.399912. Let a = 15.7 - 0.7. Let o = p + a. What is o rounded to five decimal places?\n | -0.00009\n | ibivibiv/math_instruct | |
Suppose -5*a = 2*d - 9, -4*d - 3 = -3*a - 6*d. Solve -a - 1 = -2*x for x.\n | 2\n | ibivibiv/math_instruct | |
What is the third derivative of -433514693*l**3 + 1710279*l**2 - 43*l wrt l?\n | -2601088158\n | ibivibiv/math_instruct | |
Which is the nearest to 2? (a) -1/3 (b) -0.5 (c) 5/4 (d) -15\n | c\n | ibivibiv/math_instruct | |
Suppose -40*a + 798 = 47*a + 27*a. Solve -29*k = -a*k - 13*k for k.\n | 0\n | ibivibiv/math_instruct | |
Let w(v) = 8*v**3 + 2*v**3 - v - 7*v**3 + 0*v. Let u be w(1). Suppose -13 + 89 = u*o + 4*z, -2*o = -3*z - 62. List the prime factors of o.\n | 2, 17\n | ibivibiv/math_instruct | |
What is -63386826 rounded to the nearest 10000?\n | -63390000\n | ibivibiv/math_instruct | |
What is next in 611, 607, 603, 599, 595?\n | 591\n | ibivibiv/math_instruct | |
In base 5, what is -122300222 + -2?\n | -122300224\n | ibivibiv/math_instruct | |
Let o = 3541/80 - 613/16. Find the common denominator of -17*(3 - 909/315) and o.\n | 140\n | ibivibiv/math_instruct | |
Convert 1136 (base 8) to base 13.\n | 378\n | ibivibiv/math_instruct | |
Let n = 1241 + -121. Let k(i) = n - 1120 - i - i. Let y(h) = -19*h. Let m(a) = 18*a. Let t(r) = 6*m(r) + 5*y(r). Give k(t(q)).\n | -26*q\n | ibivibiv/math_instruct | |
Let k(x) = x**3 + 1791*x - 14839. Determine k(8).\n | 1\n | ibivibiv/math_instruct | |
Let q = 30.239 - 31.239. Let j = -22.4 + 22. Put 3, j, -42, q in ascending order.\n | -42, q, j, 3\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 33 and 2448198.\n | 26930178\n | ibivibiv/math_instruct | |
Let k(b) = b**3 + 8*b**2 - 6*b + 2. Let m be k(-8). Suppose -p - 13 = -m. Let g(t) = -3*t - 8. Calculate the remainder when p is divided by g(-6).\n | 7\n | ibivibiv/math_instruct | |
b"What is the fth term of 2272, 2277, 2282, 2287, 2292, 2297?\n" | 5*f + 2267\n | ibivibiv/math_instruct | |
Suppose 8*b - 2 = 486. What is the remainder when b is divided by 2?\n | 1\n | ibivibiv/math_instruct | |
Suppose 0 = 3*u + 6, -5*w - 103*u = -106*u - 54086. What is the thousands digit of w?\n | 0\n | ibivibiv/math_instruct | |
What is the next term in -7702933, -7702905, -7702861, -7702801, -7702725, -7702633, -7702525?\n | -7702401\n | ibivibiv/math_instruct | |
Does 7 divide 5194?\n | True\n | ibivibiv/math_instruct | |
Suppose g = 4*c + 1, 3*g = 4*g - c - 16. Let w be 0 + g - (5 - 3). Let m(f) = -f**2 - 12*f + 14. Let i be m(-13). Which is greater: i or w?\n | w\n | ibivibiv/math_instruct | |
Suppose -2*t + 0*t + 6 = 0. Suppose 4 + 2 = t*d. Solve 0 = x - d*x + 4 for x.\n | 4\n | ibivibiv/math_instruct | |
What is prob of picking 3 j when three letters picked without replacement from xmjnnjjnnjjn?\n | 1/22\n | ibivibiv/math_instruct | |
Multiply -0.04 and 0.02.\n | -0.0008\n | ibivibiv/math_instruct | |
Let l(n) be the third derivative of 0*n + 0 + 0*n**4 + 1/150*n**5 - 1/300*n**6 - 1/525*n**7 + 17*n**2 + 0*n**3 + 1/840*n**8. Factor l(s).\n | 2*s**2*(s - 1)**2*(s + 1)/5\n | ibivibiv/math_instruct | |
Collect the terms in -3*k - 4*k + 2*k + 0*k + 3*k.\n | -2*k\n | ibivibiv/math_instruct | |
Let o be -1*((-27)/(-12) + -2). Let k = -380 + 221. Let t = k - -473/3. Which is the nearest to o? (a) 0.04 (b) t (c) 0\n | c\n | ibivibiv/math_instruct | |
Which is the nearest to -0.44? (a) -5 (b) 2/9 (c) -0.05 (d) -0.3\n | d\n | ibivibiv/math_instruct | |
Let j(w) be the second derivative of 1/6*w**3 - 1/4*w**4 + 1/20*w**5 + 7*w - 2*w**2 + 0. Determine j(3).\n | -1\n | ibivibiv/math_instruct | |
What is the least common multiple of 693 and 30415?\n | 273735\n | ibivibiv/math_instruct | |
What is 652 minutes before 4:40 AM?\n | 5:48 PM\n | ibivibiv/math_instruct | |
Solve 0 = -21*b - 57*b + 234 for b.\n | 3\n | ibivibiv/math_instruct | |
Suppose -4*l + 9*l - 10 = 0. Let u be -15*l/((-10)/3). Suppose -4*w + 54 = 2*m, 3*m - u = 2*w + 64. Solve 7*g - m = 2*g for g.\n | 5\n | ibivibiv/math_instruct | |
What is next in -69142, -69148, -69154?\n | -69160\n | ibivibiv/math_instruct | |
Let i = 0.045 + 33.955. Let p = i - 32.84. Round p to the nearest integer.\n | 1\n | ibivibiv/math_instruct | |
Let f(n) = n - 18. Let u be f(9). Let i = u + 15. Is (-36)/16*(-32)/i a multiple of 5?\n | False\n | ibivibiv/math_instruct | |
Is 19 a factor of 489499?\n | False\n | ibivibiv/math_instruct | |
What is the third derivative of 7820949*a*b*l**3 + a*b*l + 86*a*b - 42*a*l + 2*b*l**3 + 90*b*l**2 wrt l?\n | 46925694*a*b + 12*b\n | ibivibiv/math_instruct | |
Let a(k) = -k**2 - 4*k + 3. Let j(i) = 4*i - 82. Let w be j(21). What is a(w)?\n | -9\n | ibivibiv/math_instruct | |
Calculate the remainder when 6555 is divided by 3246.\n | 63\n | ibivibiv/math_instruct | |
Calculate ((-4)/(-40)*-2)/(2255/2050).\n | -2/11\n | ibivibiv/math_instruct |
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