instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Is 91485 a multiple of 9?\n | True\n | ibivibiv/math_instruct | |
-4063728 (base 9) to base 7\n | -24266303\n | ibivibiv/math_instruct | |
Let x = -4 + 16. Let b = -1093 + 745. Let r = b + 351. Solve 3*q + x = -8*h + r*h, -15 = 5*h for q.\n | 1\n | ibivibiv/math_instruct | |
Let r(i) = -3*i - 11. Suppose 0 = -3*m + 49 - 10. Suppose 4*o + b = -33, o + 7*b - 2*b + m = 0. What are the prime factors of r(o)?\n | 13\n | ibivibiv/math_instruct | |
What comes next: 10, 28, 82, 190, 370, 640?\n | 1018\n | ibivibiv/math_instruct | |
Let j = -283 - -5938/21. Suppose -5*i + 8 = 3*i. Is j at most i?\n | True\n | ibivibiv/math_instruct | |
Suppose 2*z - 3*w - 1 = 0, 4*w + 27 = 4*z + 3*w. Let y(k) = -k + 11. Calculate the remainder when 4 is divided by y(z).\n | 1\n | ibivibiv/math_instruct | |
Is 610721 a prime number?\n | True\n | ibivibiv/math_instruct | |
Calculate the common denominator of -50/143 and 31/52.\n | 572\n | ibivibiv/math_instruct | |
Suppose 13949 = -21*a + 34*a. Let h = a + -218. What is the units digit of h?\n | 5\n | ibivibiv/math_instruct | |
What is prob of sequence lx when two letters picked without replacement from {r: 1, l: 1, s: 3, n: 5, x: 1, g: 3}?\n | 1/182\n | ibivibiv/math_instruct | |
Which is bigger: 542 or 546?\n | 546\n | ibivibiv/math_instruct | |
Let p(y) = -y. Suppose 3*v - 60 = -9*v. Let n(j) = 3*j - v*j + 1 - 3*j - j. Determine -2*n(s) + 14*p(s).\n | -2*s - 2\n | ibivibiv/math_instruct | |
What is next in -519, -868, -1217, -1566?\n | -1915\n | ibivibiv/math_instruct | |
What are the prime factors of 2403?\n | 3, 89\n | ibivibiv/math_instruct | |
Let b be (-18)/3 - (-1 - -1). Let c(d) be the third derivative of -d**5/120 - 5*d**3/6 - 3*d**2. Let h(n) be the first derivative of c(n). What is h(b)?\n | 6\n | ibivibiv/math_instruct | |
Let p be (-2)/(-8) - (-11)/(-44). Let l be 6/(-4) - 1146/(-4). Suppose 0*q - 5*q + l = p. Calculate the remainder when q is divided by 30.\n | 27\n | ibivibiv/math_instruct | |
Simplify (6*(-1 + sqrt(1573))*-6)**2.\n | -28512*sqrt(13) + 2039904\n | ibivibiv/math_instruct | |
What is the units digit of 243080994?\n | 4\n | ibivibiv/math_instruct | |
Calculate 7 - ((32 - 7) + -20 - (-63 - (-1 + 4))).\n | -64\n | ibivibiv/math_instruct | |
Find the first derivative of 4*c**3 - 7*c**3 - 1018 + 2*c**3 - 38*c**4 - 42*c**4 + 6*c**4 wrt c.\n | -296*c**3 - 3*c**2\n | ibivibiv/math_instruct | |
What is 589756 divided by -5?\n | -589756/5\n | ibivibiv/math_instruct | |
What is the units digit of 5374?\n | 4\n | ibivibiv/math_instruct | |
Solve l**2/6 + 3031*l/3 + 10095/2 = 0 for l.\n | -6057, -5\n | ibivibiv/math_instruct | |
Let n = -4.141 - -0.141. Let l = -4 + 9. What is the smallest value in n, l, 1?\n | n\n | ibivibiv/math_instruct | |
Suppose c = 2*g + 2*g + 1, g - 52 = 3*c. Let k(p) = p**3 + 19*p**2 + 3. Let x be k(c). Solve -3 = -x*b - 9 for b.\n | -2\n | ibivibiv/math_instruct | |
0.2*-9\n | -1.8\n | ibivibiv/math_instruct | |
Let n be 453/(-4) + 10/40. Let d = 27 - n. Is 35 a factor of d?\n | True\n | ibivibiv/math_instruct | |
Suppose y + 8*y - 315 = 0. What is the highest common factor of y and 5?\n | 5\n | ibivibiv/math_instruct | |
Let n = -0.085 + 0.0849844. Round n to six decimal places.\n | -0.000016\n | ibivibiv/math_instruct | |
What is the third derivative of -22*o**6 + 259*o**5 + 469*o**3 + 67*o**2 - 20449*o + 2?\n | -2640*o**3 + 15540*o**2 + 2814\n | ibivibiv/math_instruct | |
What is the smallest value in 3, 6, 12?\n | 3\n | ibivibiv/math_instruct | |
Which is the nearest to -0.12? (a) 2 (b) 209 (c) 4 (d) 2/23 (e) 3\n | d\n | ibivibiv/math_instruct | |
What are the prime factors of 14321663?\n | 23, 127, 4903\n | ibivibiv/math_instruct | |
What is the fifth biggest value in 2, -5, 1/2, 0, -2/47?\n | -5\n | ibivibiv/math_instruct | |
What is 46/(-8) - 0 - ((162 - 107) + -60)?\n | -3/4\n | ibivibiv/math_instruct | |
Find the common denominator of -113/1071000 and 57/2750.\n | 11781000\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 d, 1 o, and 1 a when three letters picked without replacement from ooooooooooooooooado.\n | 1/57\n | ibivibiv/math_instruct | |
Let z be ((-2)/6)/(5/(-30)). Let f be -3 + -6 + (-4 - -7). What is the remainder when ((-1008)/f)/z + 4/2 is divided by 30?\n | 26\n | ibivibiv/math_instruct | |
Suppose -47*b + 1288000 = -49*b. Round b to the nearest ten thousand.\n | -640000\n | ibivibiv/math_instruct | |
What is the highest common factor of 154 and 2273579?\n | 77\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {r: 1, y: 2, u: 2, f: 1, o: 2}. Give prob of sequence yy.\n | 1/28\n | ibivibiv/math_instruct | |
What is five quarters of a litre in millilitres?\n | 1250\n | ibivibiv/math_instruct | |
Put 3, 0.8, -2, 240/37829 in descending order.\n | 3, 0.8, 240/37829, -2\n | ibivibiv/math_instruct | |
Find s, given that -5*s - 7*s**4 + 11*s**4 - 2*s - 4 - s**4 + 7*s**3 + s**2 = 0.\n | -4/3, -1, 1\n | ibivibiv/math_instruct | |
What is the hundreds digit of 542?\n | 5\n | ibivibiv/math_instruct | |
Suppose 0 = -5*r - 3*b + 13, -2*r - 2*b + 6 = -0*b. Sort -1, r, -3, 5.\n | -3, -1, r, 5\n | ibivibiv/math_instruct | |
In base 5, what is -12 + 12011400?\n | 12011333\n | ibivibiv/math_instruct | |
Suppose y = -0*w - w + 12, w = 2. What are the prime factors of (-36)/15 - -2 - (-1784)/y?\n | 2, 89\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {a: 1, l: 1, v: 1, p: 1, r: 1}. What is prob of sequence lv?\n | 1/20\n | ibivibiv/math_instruct | |
Let d(z) = 2*z + 4 - z + 3. Is 12 a factor of d(5)?\n | True\n | ibivibiv/math_instruct | |
Let y(s) be the first derivative of 13*s**10/5040 + s**6/60 - 8*s**3 - 27. Let l(o) be the third derivative of y(o). What is the third derivative of l(w) wrt w?\n | 1560*w**3\n | ibivibiv/math_instruct | |
Let w be (2*5)/((-16)/184). Suppose 3*m - 4*h - 300 + 17 = 0, 2*m + 4*h - 162 = 0. Calculate the remainder when m is divided by w/10*(-1 - 1).\n | 20\n | ibivibiv/math_instruct | |
How many minutes are there between 8:33 AM and 8:05 PM?\n | 692\n | ibivibiv/math_instruct | |
Is 190093 a prime number?\n | True\n | ibivibiv/math_instruct | |
Simplify (sqrt(80)*-1 + sqrt(80) + 5 - (-3 + (sqrt(80)*-2 - sqrt(80))))**2 + -3*(((4*sqrt(80) + 0 - sqrt(80)) + sqrt(80) - sqrt(80)) + sqrt(80))**2.\n | -3056 + 192*sqrt(5)\n | ibivibiv/math_instruct | |
What is the next term in 657, 2646, 5961, 10602, 16569, 23862?\n | 32481\n | ibivibiv/math_instruct | |
b"What is the ath term of 9594, 9586, 9560, 9504, 9406, 9254, 9036, 8740?\n" | -2*a**3 + 3*a**2 - 3*a + 9596\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Conditional probability - a formal discussion
This is a rather philosophical question.
P[B|A] is formally defined as P[B and A]/P[B] where A and B are events in a sigma algebra and P is a probability mass function.
That ... | The concept of conditional probability is fundamental in the field of mathematics and statistics, particularly within probability theory. It allows us to update our initial beliefs about the occurrence of an event based on new information. We often intuitively grasp the notion of conditional probability even when face... | ibivibiv/math_instruct | |
Let o = -13 - -10. Let m = 6 + o. Solve 0 = 5*s - 25, -m*p = -8*s + 3*s + 40 for p.\n | -5\n | ibivibiv/math_instruct | |
Simplify 5*(-1 + (sqrt(42)/sqrt(2))/sqrt(3)).\n | -5 + 5*sqrt(7)\n | ibivibiv/math_instruct | |
What is the closest to -1 in -0.01, -1/4, -1/65?\n | -1/4\n | ibivibiv/math_instruct | |
What is -3 divided by -103?\n | 3/103\n | ibivibiv/math_instruct | |
Rearrange -10*j + 42*j**3 + 12*j + 2*j**2 - 1 + 41*j**3 - 20*j**3 to f*j**3 + n + a*j**2 + h*j and give a.\n | 2\n | ibivibiv/math_instruct | |
Let m(r) = 8*r + 3. Suppose 0 = 3*p + f - 128, -18*p + 2*f + 122 = -15*p. What is the smallest common multiple of m(p) and 27?\n | 3051\n | ibivibiv/math_instruct | |
Product of 0 and 17364025.\n | 0\n | ibivibiv/math_instruct | |
Let p = -3.225 + 3.6663. Let r = -0.422 + p. Round r to three dps.\n | 0.019\n | ibivibiv/math_instruct | |
What is the value of (-5115)/(-1581)*(-71 + 54)?\n | -55\n | ibivibiv/math_instruct | |
What is ((-624)/(-728))/(4/(-21)*3)?\n | -3/2\n | ibivibiv/math_instruct | |
What is 693 minutes after 6:12 PM?\n | 5:45 AM\n | ibivibiv/math_instruct | |
Put 13, -10, 23 in ascending order.\n | -10, 13, 23\n | ibivibiv/math_instruct | |
Let x = 10.61466 - 0.11466. What is x rounded to the nearest 10?\n | 10\n | ibivibiv/math_instruct | |
Is 5517523 a multiple of 11?\n | True\n | ibivibiv/math_instruct | |
Let c = -1817 - -2627. Is 23 a factor of c?\n | False\n | ibivibiv/math_instruct | |
Is 611161 prime?\n | False\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {e: 1, r: 3}. Give prob of sequence re.\n | 1/4\n | ibivibiv/math_instruct | |
What is the common denominator of -97/1166 and 107/742?\n | 8162\n | ibivibiv/math_instruct | |
Let c(d) = 118*d - 6. Let z be c(2). Suppose -84 = -5*h - 2*b + z, 4*b - 8 = 0. What is the units digit of h?\n | 2\n | ibivibiv/math_instruct | |
Let t(m) = -677*m + 19. Let h be t(-8). Suppose 2155 = 6*x - h. What is the thousands digit of x?\n | 1\n | ibivibiv/math_instruct | |
Let z = -123/197 - -566/591. Which is the second smallest value? (a) z (b) -40 (c) -1 (d) 6\n | c\n | ibivibiv/math_instruct | |
Let v(u) = 486*u - 877. What is the thousands digit of v(11)?\n | 4\n | ibivibiv/math_instruct | |
Solve -6*d + 3 = -3*d for d.\n | 1\n | ibivibiv/math_instruct | |
Let k be (-1)/(-2)*(-5 + 3). Let u be 1*(k - -1*4). Suppose -16 = -3*a - 2*w, a - 15 = -a + u*w. What are the prime factors of a?\n | 2, 3\n | ibivibiv/math_instruct | |
Calculate prob of sequence aqd when three letters picked without replacement from dduqdqaumddddudu.\n | 1/210\n | ibivibiv/math_instruct | |
Let r = 0.9 + 0.1. Let q = -0.51 + 0.31. Let k = 30 + -25. What is the closest to r in -5, q, k?\n | q\n | ibivibiv/math_instruct | |
Let m = -5 - -12. Let p = 1 + m. Suppose p + 0 = 2*b. Is b greater than or equal to 4?\n | True\n | ibivibiv/math_instruct | |
Solve 4*i + 11 = -9 for i.\n | -5\n | ibivibiv/math_instruct | |
1 times -0.017\n | -0.017\n | ibivibiv/math_instruct | |
Is 47 a factor of 325940535?\n | True\n | ibivibiv/math_instruct | |
Evaluate ((-136)/(-12) - 11)/((-9)/((-7047)/36)) - 4.\n | 13/4\n | ibivibiv/math_instruct | |
Suppose -n + 20 + 17 = 2*q, 0 = 5*q - 4*n - 99. Let p = q + 304. List the prime factors of p.\n | 17, 19\n | ibivibiv/math_instruct | |
Collect the terms in -111*t**3 + 716*t**3 - 33*t**3 + 467*t**3.\n | 1039*t**3\n | ibivibiv/math_instruct | |
Let g(a) = 2*a + 3. Let w(z) = 30*z + 132. Let v be w(-4). Determine g(v).\n | 27\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(47.0537 % -49.1586) % (56.3146 * 40.6094) | 2284.7972 | ibivibiv/math_instruct | |
Solve -1109*n + 25392 = 1007*n for n.\n | 12\n | ibivibiv/math_instruct | |
Let a(d) = 11*d + 4. Let k(g) = -2781*g + 1390*g + 5 + 1403*g. Give -6*a(t) + 5*k(t).\n | -6*t + 1\n | ibivibiv/math_instruct | |
Suppose 8*n - 9 = 7. Solve 4 = n*w - 4 for w.\n | 4\n | ibivibiv/math_instruct | |
Convert -1306 (base 8) to base 11.\n | -596\n | ibivibiv/math_instruct | |
How many minutes are there between 3:16 AM and 1:23 PM?\n | 607\n | ibivibiv/math_instruct | |
Hazel wants to buy a gold ring for each of the index fingers of his spouse. If one ring costs 12 dollars. Find the amount Hazel will have to pay. Lets write a program. | total_index_finger=2
cost_per_ring=12
total_cost=total_index_finger*cost_per_ring
print(total_cost)
| ibivibiv/math_instruct |
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