instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let m(s) = 35*s + 105. What is m(-3)?\n | 0\n | ibivibiv/math_instruct | |
Simplify -3*sqrt(2450) + sqrt(2450) + 5 + sqrt(1800)/sqrt(9).\n | -60*sqrt(2) + 5\n | ibivibiv/math_instruct | |
What is 625 minutes after 9:01 PM?\n | 7:26 AM\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 19335 and 60.\n | 15\n | ibivibiv/math_instruct | |
List the prime factors of 1219654.\n | 2, 229, 2663\n | ibivibiv/math_instruct | |
Let d(t) be the first derivative of -t**6/6 - 387*t**5/5 - t**3/3 - 7*t**2 + 36*t - 2781. What is the second derivative of d(q) wrt q?\n | -20*q**3 - 4644*q**2 - 2\n | ibivibiv/math_instruct | |
Expand (3483*s**2 + 1515*s**2 + 6662*s**2 + 2147*s**2 + 369*s**2)*(3*s - 3*s - 2*s).\n | -28352*s**3\n | ibivibiv/math_instruct | |
Let w(m) = -4*m. Suppose -5*u + 33 = -o, 4*u - o = 3*o + 20. Let j(i) = u*i - 6*i - i + 5*i. Calculate -2*j(d) - 3*w(d).\n | 2*d\n | ibivibiv/math_instruct | |
Solve y**4/2 - 2445*y**3/2 + 1992675*y**2/2 - 541343375*y/2 = 0.\n | 0, 815\n | ibivibiv/math_instruct | |
Let k(q) = -q**3 + q**2 + q - 1. Let j(o) be the first derivative of -4*o**3/3 - 2*o**2 + 4*o - 178. Give 2*j(y) + 8*k(y).\n | -8*y**3\n | ibivibiv/math_instruct | |
Suppose -1 = -l + 3. Suppose l + 17 = 3*t. Suppose -3*v - 88 = -t*v. Is 15 a factor of v?\n | False\n | ibivibiv/math_instruct | |
Which is the closest to 2? (a) 0.7 (b) -86 (c) -4/7 (d) 8 (e) 2/19 (f) 0.04\n | a\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(7.8332 % -34.3163) / 74.6192 | -0.3549 | ibivibiv/math_instruct | |
Let y(h) = -90*h**2 + 437*h + 617. What is y(6)?\n | -1\n | ibivibiv/math_instruct | |
Is 17707 > 3/16?\n | True\n | ibivibiv/math_instruct | |
Solve b + 2*a + 6 = 3*b, -2*b = a - 12 for b.\n | 5\n | ibivibiv/math_instruct | |
Calculate -0.0778*-17761.\n | 1381.8058\n | ibivibiv/math_instruct | |
Let c(m) = 22*m + 2. Let g(n) = 403*n + 1610. Let x be g(-4). Let j(p) = -1320*p - 121. Calculate x*j(y) - 121*c(y).\n | -22*y\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) -9.12 (b) 0.2 (c) 6\n | c\n | ibivibiv/math_instruct | |
Which is the closest to -1? (a) 1.79 (b) -3/5 (c) 0.1 (d) -0.066\n | b\n | ibivibiv/math_instruct | |
5 * 33269\n | 166345\n | ibivibiv/math_instruct | |
Suppose -5*r + 15100 = 5*k, -6*k = -26 - 4. Does 67 divide r?\n | True\n | ibivibiv/math_instruct | |
Let k = -6 - -11. Suppose 3*z - k*s - 17 = 0, -10 + 5 = -z + s. What is the second derivative of -x**2 + z*x**2 - x - x**2 wrt x?\n | 4\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 282711644?\n | 7\n | ibivibiv/math_instruct | |
Let d be 12*(9/12 + 0). Suppose -5*g = -6 - d. Suppose g*u + 5*j = 44, 5*j - 4*j + 51 = 4*u. Is u a multiple of 12?\n | False\n | ibivibiv/math_instruct | |
Simplify w/(w/(w*w/(w/(w**(-49)*w))))*w**(-29)/w*((w/(w/w**(7/4)))/w)/w*w*w**(-4/25) assuming w is positive.\n | w**(-7641/100)\n | ibivibiv/math_instruct | |
What is the greatest common factor of 80 and 3860?\n | 20\n | ibivibiv/math_instruct | |
Expand (-8*t**3 + 10*t**2 - 10*t**2 + t**3 + 0*t + 0*t + (2*t**2 + 4*t**2 - 4*t**2)*(-2*t - t + 5*t))*(-4*t + 0*t + 2*t).\n | 6*t**4\n | ibivibiv/math_instruct | |
Let i(h) be the first derivative of -2*h**3/3 - 2. Let w(u) = 16*u**2. Determine i(w(c)).\n | -512*c**4\n | ibivibiv/math_instruct | |
What is 185892565 divided by -205?\n | -906793\n | ibivibiv/math_instruct | |
Collect the terms in -k**2 + 361 - 3*k**2 - 255 + k**2 - 399.\n | -3*k**2 - 293\n | ibivibiv/math_instruct | |
Suppose 3*k = -2*k + 20. Let z be -1 + (-3)/3 + k. Suppose -z*u + 13 + 13 = 0. What is the remainder when u is divided by 5?\n | 3\n | ibivibiv/math_instruct | |
Collect the terms in 2*p - 2*p + 677*p**3 - 162504*p**2.\n | 677*p**3 - 162504*p**2\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 975 and 20.\n | 3900\n | ibivibiv/math_instruct | |
Round -0.0667814 to 2 dps.\n | -0.07\n | ibivibiv/math_instruct | |
What is the third derivative of -53*t**3*u**2 + 649*t**3 - 1137*t**2*u**2 + u**2 wrt t?\n | -318*u**2 + 3894\n | ibivibiv/math_instruct | |
Let u = 11 - 9.7. Do 0.4 and u have the same value?\n | False\n | ibivibiv/math_instruct | |
Calculate -4 + -7 + (-88)/((-121)/11).\n | -3\n | ibivibiv/math_instruct | |
If Kristy, a sales representative, earns a basic salary of $7.50 per hour plus a 16% commission on all her sales, and she worked for 160 hours this month and sold items worth $25000, and her monthly budget for food, clothing, rent, transportation, bills, and savings is 95% of her total monthly earnings, how much did sh... | Kristys basic salary for the month is $7.50 x 160 hours = $<<7.5*160=1200>>1200.
Her commission on sales is 16% of $25000 = $<<16/100*25000=4000>>4000.
Her total earnings for the month is $1200 + $4000 = $<<1200+4000=5200>>5200.
Her budget for food, clothing, rent, transportation, bills, and savings is 95% of $5200 = $... | ibivibiv/math_instruct | |
What is the next term in 305, 190, 31, -184, -467, -830, -1285?\n | -1844\n | ibivibiv/math_instruct | |
What is 70990 rounded to the nearest ten thousand?\n | 70000\n | ibivibiv/math_instruct | |
What is the second biggest value in -104, -0.39, 2/13, -1?\n | -0.39\n | ibivibiv/math_instruct | |
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"# Homework Help: Projectile Motion Problem - Diving
1. Aug 16, 2010
### Whotto
This is a projectile motion problem at a Grade 12 level in Canada.
My main problem here is conceptual, not the math itself.
1. The given ques... | Projectile motion is a fundamental concept in physics that describes the trajectory of an object under the influence of gravity, without any other forces acting on it. When an object is projected into the air, it follows a parabolic path due to the acceleration caused by gravity. This acceleration causes the vertical ... | ibivibiv/math_instruct | |
6*((-5)/((-200)/10))/((-123)/164)\n | -2\n | ibivibiv/math_instruct | |
Convert -9813 (base 10) to base 14.\n | -380d\n | ibivibiv/math_instruct | |
Simplify -5 + 5*(sqrt(80) + 0 - sqrt(80)) - ((sqrt(80) - -2*(sqrt(80) + sqrt(80)*-2))**2 + (5 + sqrt(80) + 1)**2).\n | -201 - 48*sqrt(5)\n | ibivibiv/math_instruct | |
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"+0
# Algebra
0
102
1
Let u and v be the solutions to 3x^2 + 5x + 7 = 0. Find u^2 + v^2.
Feb 14, 2022
#1
+726
+7
So first we make the coefficient of x^2 = 1.
The new quadratic is: $$x^2 + {5\over3}x + {7\over3} = 0$$
T... | To solve the problem presented, we must understand several key algebraic concepts. Let's begin with quadratics and their properties. A quadratic equation is any polynomial expression of degree two; it typically looks like ax^2 + bx + c = 0, where a, b, and c are constants. Our given equation, 3x^2 + 5x + 7 = 0, is a q... | ibivibiv/math_instruct | |
Work out -5 * -125.\n | 625\n | ibivibiv/math_instruct | |
What is -1220 (base 4) in base 15?\n | -6e\n | ibivibiv/math_instruct | |
Let t(g) = -g**2 + 16*g - 10. Let h be (-2201)/(-213) + 28/6. Calculate t(h).\n | 5\n | ibivibiv/math_instruct | |
Let o = 1.03 - 1. Which is the closest to 0.1? (a) -2 (b) o (c) -4/3\n | b\n | ibivibiv/math_instruct | |
Let j = -0.5607 - -0.0507. Let f = -53.21 - -53. Let u = f - j. Which is the second biggest value? (a) u (b) -1/5 (c) -10\n | b\n | ibivibiv/math_instruct | |
Let v(t) = 258*t + 267. Give v(2).\n | 783\n | ibivibiv/math_instruct | |
Does 123 divide 828275939?\n | False\n | ibivibiv/math_instruct | |
Let d(n) = 20319*n - 2438286. Give d(120).\n | -6\n | ibivibiv/math_instruct | |
What is 1/10 of a millimeter in micrometers?\n | 100\n | ibivibiv/math_instruct | |
Rearrange 2 + 359*c + 0 - 4 + 119*c to the form q + m*c and give m.\n | 478\n | ibivibiv/math_instruct | |
What is the hundreds digit of 591?\n | 5\n | ibivibiv/math_instruct | |
What is 44083 to the power of 1/2, to the nearest integer?\n | 210\n | ibivibiv/math_instruct | |
Let l = 7 + -3. Let b = -4 + l. What is the closest to 0 in -2/7, 0.5, b?\n | b\n | ibivibiv/math_instruct | |
b"What is the ith term of 2725, 2737, 2749?\n" | 12*i + 2713\n | ibivibiv/math_instruct | |
What is the fourth smallest value in 3/7, -1/7, -1, -0.1?\n | 3/7\n | ibivibiv/math_instruct | |
What is the seventh root of 592845 to the nearest integer?\n | 7\n | ibivibiv/math_instruct | |
Round -0.65724893 to 5 decimal places.\n | -0.65725\n | ibivibiv/math_instruct | |
Which is greater: -6/51829 or -0.01?\n | -6/51829\n | ibivibiv/math_instruct | |
Suppose -110376 + 4690 = -19*f + 456087. Does 146 divide f?\n | False\n | ibivibiv/math_instruct | |
What is the value of -2 - -4*(11421/(-531) - -22)?\n | -2/59\n | ibivibiv/math_instruct | |
What is 25603039 to the power of 1/2, to the nearest integer?\n | 5060\n | ibivibiv/math_instruct | |
What is the second derivative of -19*d**2*y**2 + 42*d**2*y - 106*d*y**2 + 88*d wrt d?\n | -38*y**2 + 84*y\n | ibivibiv/math_instruct | |
Let k = -65 + 95. Let j = k + -29.62. Round j to one decimal place.\n | 0.4\n | ibivibiv/math_instruct | |
Determine g, given that -g**3 + 40902779*g**2 - 40902778*g = 0.\n | 0, 1, 40902778\n | ibivibiv/math_instruct | |
Solve -3*x - 9 = -3*u, 4*x + 17 - 8 = u for x.\n | -2\n | ibivibiv/math_instruct | |
Multiply 1234 and 610.\n | 752740\n | ibivibiv/math_instruct | |
What is -4 + (5 - -2) + 1 + 2?\n | 6\n | ibivibiv/math_instruct | |
Let p(o) be the third derivative of 1555*o**7/42 - 943*o**4/24 - 2*o**2 - 2*o + 104. What is the second derivative of p(i) wrt i?\n | 93300*i**2\n | ibivibiv/math_instruct | |
Let j(k) = k**2 - 2*k + 3. Let a be j(0). Suppose -a*c - 4*m + 9420 = 0, 4*c - 9441 = c + 3*m. Is c/15 + 3/(-5) prime?\n | False\n | ibivibiv/math_instruct | |
Are -1 and -1/3056816 non-equal?\n | True\n | ibivibiv/math_instruct | |
Solve 0 = l + 3*r + 72 - 83, 0 = 2*l - 5*r + 11 for l.\n | 2\n | ibivibiv/math_instruct | |
In base 16, what is 30b + -ed5?\n | -bca\n | ibivibiv/math_instruct | |
List the prime factors of 522536.\n | 2, 7, 31, 43\n | ibivibiv/math_instruct | |
Let d(g) = 68*g**2 + g. Let w be d(1). Suppose -171 - w = -5*s. Let q = 36 - 24. Calculate the greatest common divisor of s and q.\n | 12\n | ibivibiv/math_instruct | |
Sort 0, -1, -5, 1, -276 in ascending order.\n | -276, -5, -1, 0, 1\n | ibivibiv/math_instruct | |
Evaluate (-3 - (1 + 2)) + 4.\n | -2\n | ibivibiv/math_instruct | |
Which is the nearest to 4? (a) 59/12 (b) -50 (c) 0.3 (d) -5 (e) 5/4\n | a\n | ibivibiv/math_instruct | |
Is 29135545237 a composite number?\n | False\n | ibivibiv/math_instruct | |
What is the first derivative of m**3 + 2083*m**2 - 80199 wrt m?\n | 3*m**2 + 4166*m\n | ibivibiv/math_instruct | |
What is the closest to 0.1 in 0.1, -0.2, 0.52?\n | 0.1\n | ibivibiv/math_instruct | |
Suppose -5*u = -2*u - 12. Let j be (-58)/(-10) - (-4)/(-5). Is u less than or equal to j?\n | True\n | ibivibiv/math_instruct | |
What is -7.209045 plus 213.07?\n | 205.860955\n | ibivibiv/math_instruct | |
Solve -5*h + a = -1 + 9, a = -2*h - 6 for h.\n | -2\n | ibivibiv/math_instruct | |
Expand (3*i**4 - 3 + 3 + 3*i**4 + 0*i**4 - 2*i**4 + (4 + 2*i**2 - 4)*(-2*i**2 - 3*i**2 + 4*i**2))*(5*i - 14*i - 6*i).\n | -30*i**5\n | ibivibiv/math_instruct | |
Solve -6*s - 3*t + 75 - 60 = 0, -s = -4*t + 11 for s.\n | 1\n | ibivibiv/math_instruct | |
Suppose 5*b = 5*d, 2*d + d + 9 = 0. Let k be (-13)/(3/b) - 0. Solve 2*q + k = 3 for q.\n | -5\n | ibivibiv/math_instruct | |
Which is the nearest to -0.03? (a) 22 (b) -3 (c) -2/11\n | c\n | ibivibiv/math_instruct | |
Let f = 19 - 1. Let s(k) = k - 1. Let m be s(5). Put -3, m, f in increasing order.\n | -3, m, f\n | ibivibiv/math_instruct | |
Solve -6 = -3*q + 3 for q.\n | 3\n | ibivibiv/math_instruct | |
Let o(x) = 48*x + 136. Calculate o(-6).\n | -152\n | ibivibiv/math_instruct | |
In base 16, what is -308 - -216?\n | -f2\n | ibivibiv/math_instruct | |
Let t = 8.2 - -1.8. Let v = t - 4. Let s = v - 6.4. Which is the third smallest value? (a) s (b) 0.3 (c) -1/5\n | b\n | ibivibiv/math_instruct | |
Let v = -83/9 - -262/45. Let r = v - -4. Determine h, given that 2/5 - r*h + 1/5*h**2 = 0.\n | 1, 2\n | ibivibiv/math_instruct |
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