instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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|---|---|---|---|
b"What is the ith term of 5593, 5580, 5565, 5548?\n" | -i**2 - 10*i + 5604\n | ibivibiv/math_instruct | |
b"What is the hth term of 30812, 30814, 30816?\n" | 2*h + 30810\n | ibivibiv/math_instruct | |
Suppose 5*s + 0*y + 4*y - 868 = 0, s = -5*y + 182. Is 25 a factor of s?\n | False\n | ibivibiv/math_instruct | |
Evaluate ((-22)/2)/(12/(-12)).\n | 11\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(29.8294 * 97.5794) - (76.1437 % -7.2584) | 2914.4337 | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 83056 and 20240608.\n | 464\n | ibivibiv/math_instruct | |
Let r = 1576 - 1520. Calculate the remainder when 205 is divided by r.\n | 37\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {k: 7, z: 4, x: 2, o: 1, j: 1, g: 3}. What is prob of sequence xg?\n | 1/51\n | ibivibiv/math_instruct | |
Is 1246009 prime?\n | False\n | ibivibiv/math_instruct | |
110157+-511\n | 109646\n | ibivibiv/math_instruct | |
Suppose -52*a + 4*v - 33 = -53*a, 0 = 5*a + 3*v - 46. Let y = 0.23 + -0.39. Let r be 15/(-18) + 2/3. Put r, a, y in descending order.\n | a, y, r\n | ibivibiv/math_instruct | |
Let k = 39215/6 + -38940517/5958. Is k < 0?\n | True\n | ibivibiv/math_instruct | |
Divide -35726 by -1.\n | 35726\n | ibivibiv/math_instruct | |
Let w be ((-8)/20)/((-2)/10). Suppose 5*l - w*l = 6. What is the remainder when 6 is divided by l?\n | 0\n | ibivibiv/math_instruct | |
In base 7, what is 330564 + 3?\n | 330600\n | ibivibiv/math_instruct | |
Expand (0 + 0 + q)*(1 - 2*q - 1) - q**2 + 0*q**2 - q**2 + 0*q + 0*q + q**2 - 2*q**2 - 10*q**2 + 10*q**2.\n | -5*q**2\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) 0.1 (b) 0.62 (c) -543 (d) -6/11 (e) -19\n | d\n | ibivibiv/math_instruct | |
Factor 3*z**2 - 1200*z - 2412.\n | 3*(z - 402)*(z + 2)\n | ibivibiv/math_instruct | |
What is ((-800)/550)/((-6)/(-11))?\n | -8/3\n | ibivibiv/math_instruct | |
Let j(k) = -k**3 + 6*k**2 - 4*k - 4. Let f be j(5). Let c be (6/(-15))/(f/5). Let g be (15/(-10))/(c/4). Solve 9 = p + 2*v, -3 - 6 = g*p - 3*v for p.\n | 1\n | ibivibiv/math_instruct | |
Let q(h) = 9 - 8 - 230*h + 232*h. Let u be q(1). Suppose 0 = u*w + 2*s - 257 - 96, s = 2*w - 233. Is 9 a factor of w?\n | True\n | ibivibiv/math_instruct | |
Evaluate 8 + -5 - (-2 - -3).\n | 2\n | ibivibiv/math_instruct | |
Let u = 138 + -321. Let j = -75 - u. Suppose 120 - j = 2*l. Is 19/4 != l?\n | True\n | ibivibiv/math_instruct | |
Let r(n) be the second derivative of -63*n**5/2 + 19*n**3/6 - 19*n**2/2 - 180*n. Find the second derivative of r(o) wrt o.\n | -3780*o\n | ibivibiv/math_instruct | |
What is 2619 (base 12) in base 14?\n | 1821\n | ibivibiv/math_instruct | |
Calculate prob of sequence hbbo when four letters picked without replacement from ohohohohhboohhbhh.\n | 9/4760\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 17180 and 94995092.\n | 474975460\n | ibivibiv/math_instruct | |
Rearrange 9888*l**4 - 4947*l**4 + 2*l**3 + 16*l + l**2 - 4938*l**4 to n*l + j + d*l**2 + u*l**4 + v*l**3 and give u.\n | 3\n | ibivibiv/math_instruct | |
Is 114539 composite?\n | True\n | ibivibiv/math_instruct | |
Three letters picked without replacement from ffffffffffffhfffff. What is prob of sequence fhf?\n | 1/18\n | ibivibiv/math_instruct | |
What is -0.00012789548 rounded to 7 dps?\n | -0.0001279\n | ibivibiv/math_instruct | |
Find the first derivative of -713440*m - 6982819 wrt m.\n | -713440\n | ibivibiv/math_instruct | |
Let x = -474423293526237823 + 474423295437647618.70000091. Let c = x + -1911409781. Let u = c - 14.7. Round u to seven dps.\n | 0.0000009\n | ibivibiv/math_instruct | |
Let o be ((-8)/10)/(7/(-70)). What is the greatest common divisor of 40 and o?\n | 8\n | ibivibiv/math_instruct | |
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"# All Questions
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### Solving Det[matrix] == 0 with an 8 x 8 matrix [closed]
I want to solve the equation Det[matrix] == 0 which came from the consistency of solutions of a set of 8 equations. This matrix has two c... | When working with mathematical problems in Mathematica, it is often necessary to solve systems of equations or calculate determinants of matrices. Here are some tips and resources for college students who may be encountering these topics in their coursework.
To solve the equation `Det[matrix] == 0` with an 8 x 8 matr... | ibivibiv/math_instruct | |
Let y(b) = -1985*b - 3. Let a be y(3). Let f = a - -11958. Suppose 2*g = -g + f. Round g to the nearest one thousand.\n | 2000\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 20667 and 18.\n | 124002\n | ibivibiv/math_instruct | |
What is the next term in 11991108, 11991088, 11991070, 11991054, 11991040, 11991028?\n | 11991018\n | ibivibiv/math_instruct | |
371/658260*90*((-4)/14)/(-1)\n | 1/69\n | ibivibiv/math_instruct | |
What is the derivative of 6974*q**2*u + 2*q**2 - 1037*q*u - 134371500*u wrt q?\n | 13948*q*u + 4*q - 1037*u\n | ibivibiv/math_instruct | |
Let q(f) = -8*f**3 + 3*f**2 + 2*f + 8. Let z(s) = 10*s**3 - 3*s**2 - 2*s - 9. Let p(k) = 6*q(k) + 5*z(k). What is p(-2)?\n | -5\n | ibivibiv/math_instruct | |
Suppose -134*o + 136*o - 4*y = 486, -246 = -o + y. Calculate the lowest common multiple of 1 and o.\n | 249\n | ibivibiv/math_instruct | |
How many millilitres are there in 6/25 of a litre?\n | 240\n | ibivibiv/math_instruct | |
What is -31326 divided by 3?\n | -10442\n | ibivibiv/math_instruct | |
What is 57/5 of a meter in millimeters?\n | 11400\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 552 and 408.\n | 9384\n | ibivibiv/math_instruct | |
Is 2107381 composite?\n | False\n | ibivibiv/math_instruct | |
Let o(n) = -n**2 - 402*n - 8357. Let a be o(-22). Let z be 10*2/(8/2). Solve 5*c = 5*g - z, -g - c - a = -4 for g.\n | 1\n | ibivibiv/math_instruct | |
Rearrange (-3 + 3 + 5*q)*(-4 + 8 + 0 + (-1 - 4 + 2)*(-4 + 3 - 1)) to l + n*q and give n.\n | 50\n | ibivibiv/math_instruct | |
What is the next term in 7255, 14502, 21749, 28996, 36243?\n | 43490\n | ibivibiv/math_instruct | |
Simplify ((l/l**(-1/40))/l*l**(-1/18))**48 assuming l is positive.\n | l**(-22/15)\n | ibivibiv/math_instruct | |
Expand (0 + 2 - 4)*(6 - 2 - 2)*(126*c**4 - 25*c**4 + 104*c**4).\n | -820*c**4\n | ibivibiv/math_instruct | |
Express 16*i + 15*i + 5*i + 0*i + 3*i as c*i + k and give c.\n | 39\n | ibivibiv/math_instruct | |
In base 9, what is -4702707 + -5?\n | -4702713\n | ibivibiv/math_instruct | |
Suppose -13 = 3*h + 5*g, 2*h - g - 7 = 6. Let k = 3096 + -3099. Let v = k + h. Sort -6, v, -2 in descending order.\n | v, -2, -6\n | ibivibiv/math_instruct | |
What is the second smallest value in 3/2, 2/13, -2/7, -3/4, 0?\n | -2/7\n | ibivibiv/math_instruct | |
Evaluate -76 + (-14 + -7 - 14) - -3.\n | -108\n | ibivibiv/math_instruct | |
What is the remainder when 2 + ((-4)/(-6))/(14/399) is divided by 11?\n | 10\n | ibivibiv/math_instruct | |
In base 12, what is -131402 - 7?\n | -131409\n | ibivibiv/math_instruct | |
Let n = -261 - -273. What is the remainder when 119 is divided by n?\n | 11\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {f: 4, z: 1, l: 1, h: 9}. Give prob of sequence fl.\n | 2/105\n | ibivibiv/math_instruct | |
Express (-15*d - 9*d + 5*d)*(4*d - d - 2*d) - 16*d - 11*d**2 + 40*d - 21*d as j + g*d + i*d**2 and give g.\n | 3\n | ibivibiv/math_instruct | |
Angel has a tasty fruit salad restaurant making twice the number of fruit salads made by her friend Alaya's tasty fruit salad restaurant. Alayas restaurant has 200 fruit salads. How many fruit salads are there in total in the two restaurants? | Angel's restaurant makes twice the number of fruit salads made by Alaya's restaurant, so Angels restaurant makes 2 * 200 = 400 fruit salads.
Therefore, in total, the two restaurants have 200 + 400 = 600 fruit salads.
#### 600
The answer is: 600 | ibivibiv/math_instruct | |
Let q(t) = 36123*t**2 + 400*t + 399. What is the units digit of q(-1)?\n | 2\n | ibivibiv/math_instruct | |
-20131352 (base 7) to base 15\n | -230468\n | ibivibiv/math_instruct | |
Which is the nearest to 0.07? (a) -15 (b) 0.7 (c) 4 (d) -2/5\n | d\n | ibivibiv/math_instruct | |
Multiply -53 and -14.\n | 742\n | ibivibiv/math_instruct | |
c8c3 (base 13) to base 9\n | 42212\n | ibivibiv/math_instruct | |
Round -1774258.28 to the nearest one thousand.\n | -1774000\n | ibivibiv/math_instruct | |
What is the tens digit of 177464944?\n | 4\n | ibivibiv/math_instruct | |
Let i(d) = -d**2 - 4*d + 5. Let z be i(-5). Let s = 34 + -13. Suppose l - 36 - s = z. Is l a composite number?\n | True\n | ibivibiv/math_instruct | |
Expand (k - 5 + 1 + 1)*(28 + 24 + 76).\n | 128*k - 384\n | ibivibiv/math_instruct | |
Let p(v) = v**2. Let m(g) be the first derivative of -96 + 39/2*g**2 + g. Calculate p(m(d)).\n | 1521*d**2 + 78*d + 1\n | ibivibiv/math_instruct | |
34/153*(-3)/(-7)\n | 2/21\n | ibivibiv/math_instruct | |
Let r be (1 - 1) + 0 + 1. Let q be r + -1 - (-5 - -3). Let s be ((-2)/3)/(-8*6/72). Put 0, q, s in decreasing order.\n | q, s, 0\n | ibivibiv/math_instruct | |
What is the highest common factor of 41291 and 21566?\n | 263\n | ibivibiv/math_instruct | |
What comes next: -86, -84, -78, -68, -54, -36, -14?\n | 12\n | ibivibiv/math_instruct | |
Let t = 1552 + -167. Suppose -308 = 5*g + 4*w - t, -216 = -g - w. List the prime factors of g.\n | 3, 71\n | ibivibiv/math_instruct | |
What is prob of sequence ix when two letters picked without replacement from {t: 1, x: 1, f: 1, b: 1, i: 1}?\n | 1/20\n | ibivibiv/math_instruct | |
Suppose 7*b + 6 = 10*b. Let l be (-4)/(2/(b/(-1))). Suppose -l = -5*d + 6. What is the units digit of d?\n | 2\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 p and 3 o when four letters picked without replacement from iiiipiiopioopoip.\n | 4/455\n | ibivibiv/math_instruct | |
Let d be (-3)/(27/(-12))*144. Let u = 33 - 35. Let x be ((-1)/(-1))/(u/(-48)). Calculate the highest common divisor of d and x.\n | 24\n | ibivibiv/math_instruct | |
Work out -2139205 + 2.5.\n | -2139202.5\n | ibivibiv/math_instruct | |
Suppose 5*r - r = 24. What are the prime factors of r + -2 - 0/(-2)?\n | 2\n | ibivibiv/math_instruct | |
Let c = -1 - -1. Suppose c = -r + 2*r - 2. Solve 0 = -y + 4*i + 8, y + i + r = -3*y for y.\n | 0\n | ibivibiv/math_instruct | |
In base 5, what is 302 + -13?\n | 234\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {s: 1, j: 2}. Give prob of picking 2 j.\n | 1/3\n | ibivibiv/math_instruct | |
Let i = -1354 + 1372. Calculate the remainder when 808 is divided by i.\n | 16\n | ibivibiv/math_instruct | |
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1400 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
Answer Choices: (A) 12028 (B) 12000 (C) 20000 (... | fixed_salary = 1400
additional_commission = 0.025
sales_threshold = 4000
extra_earning = 600
old_commission_rate = 0.05
# calculate the sales amount
sales = (fixed_salary + extra_earning - sales_threshold * additional_commission) / (old_commission_rate - additional_commission)
print(sales) | ibivibiv/math_instruct | |
Let x = 1343 + -4028/3. Let k(a) be the second derivative of 0 + 0*a**2 + x*a**3 + 14*a - 1/12*a**4. Factor k(m).\n | -m*(m - 2)\n | ibivibiv/math_instruct | |
Let y = -59 - -152. Let q = 158 + y. What are the prime factors of q?\n | 251\n | ibivibiv/math_instruct | |
Evaluate 20/6*(-6)/4.\n | -5\n | ibivibiv/math_instruct | |
Let z = 15/149 - 343/447. What is the closest to -13 in -4, z, -7, -3/2?\n | -7\n | ibivibiv/math_instruct | |
Let f(q) = -q**3 - 11*q**2 - 13*q - 30. Let p be f(-10). Suppose p = -7*c + 12*c - 4735. Is c composite?\n | False\n | ibivibiv/math_instruct | |
What is the third derivative of 3*p**4 + 3652*p**3 - 10*p**2 - 971*p?\n | 72*p + 21912\n | ibivibiv/math_instruct | |
What is 414 minutes before 3:59 PM?\n | 9:05 AM\n | ibivibiv/math_instruct | |
Let v = -341 + 353. What is the tens digit of v?\n | 1\n | ibivibiv/math_instruct | |
What is the second derivative of 5809*a*b*j**2 + 4*a*j**2 - 11111*a + 51*b*j**2 + 1071*b*j + j**2 wrt j?\n | 11618*a*b + 8*a + 102*b + 2\n | ibivibiv/math_instruct | |
Simplify (sqrt(484)/sqrt(99))/(sqrt(44)/sqrt(99)).\n | sqrt(11)\n | ibivibiv/math_instruct | |
Convert -13d4 (base 15) to base 5.\n | -113444\n | ibivibiv/math_instruct |
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