lugman/Droplet-v2
Text Generation • 1.41M • Updated • 115
text stringlengths 8 1.12k | kind stringclasses 6
values | format_id int64 0 9 ⌀ | a int64 0 10k | b int64 0 10k | op stringclasses 3
values | result int64 -9,994 19.9k | width int64 1 4 | style_id int64 0 9 ⌀ | carries int64 0 4 ⌀ | frame stringclasses 8
values | statement_id int64 0 7 ⌀ | fact_id int64 0 9 ⌀ | answer_id int64 0 9 ⌀ | borrows int64 0 3 ⌀ | cascade bool 2
classes | negative bool 2
classes |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Say 1924 in words. It is one thousand nine hundred twenty four. | numword | 8 | 1,924 | 0 | none | 1,924 | 4 | null | null | null | null | null | null | null | null | null |
4 + 4677 = ?
Pad 4 to 0004 so both numbers have 4 columns.
Start at column c0, the rightmost column.
Column c0: 4 plus 7 is 11. Write 1, carry 1. Digits so far: 1.
Column c1: 0 plus 7 plus carry 1 is 8. Write 8, no carry. Digits so far: 81.
Column c2: 0 plus 6 is 6. Write 6, no carry. Digits so far: 681.
Column c3: 0 p... | procedure | null | 4 | 4,677 | add | 4,681 | 4 | 0 | 1 | null | null | null | null | null | null | null |
Ravi had 1092 rupees and owed 388 rupees to Aisha. After paying, what is his balance?
The change is a reduction, so 1092 - 388.
388 becomes 0388 to fill 4 columns.
Rightmost column first.
For c0, 2 falls short of 8, so borrow, and 12 minus 8 comes to 4. Record 4, borrow 1. Partial answer: 4.
For c1, the amount due is 8... | word_problem | null | 1,092 | 388 | sub | 704 | 4 | 6 | null | balance_change | 3 | 7 | 4 | 2 | false | false |
There were 5877 apples in the library. Someone added 4210 more apples. How many apples are in the library now?
More apples arrive, so this is a sum: 5877 + 4210.
Begin from the rightmost digits and move left.
c0: 7 + 0 = 7. Keep 7, carry nothing. Running answer: 7.
c1: 7 + 1 = 8. Keep 8, carry nothing. Running answer: ... | word_problem | null | 5,877 | 4,210 | add | 10,087 | 4 | 2 | 2 | change_add | 2 | 5 | 0 | null | null | null |
What is 0 + 2? 2 | plain | 2 | 0 | 2 | add | 2 | 1 | null | 0 | null | null | null | null | null | null | null |
67 + 9058 = 9125. Read aloud: sixty seven plus nine thousand fifty eight is nine thousand one hundred twenty five. | numword_calc | 5 | 67 | 9,058 | add | 9,125 | 4 | null | 2 | null | null | null | null | null | null | null |
At noon it was 3 degrees. By night it had dropped 80 degrees. What is the temperature at night?
The change is downward, so 3 - 80.
Careful: 80 is more than 3, so the answer dips below zero. Try 80 minus 3 first.
To keep the columns even, read 3 as 03, which is 2 columns.
Start with the ones on the right, column c0.
c0 ... | word_problem | null | 3 | 80 | sub | -77 | 2 | 8 | null | temp_change | 1 | 7 | 4 | 1 | false | true |
Sofia scored 2 points. Jonas scored 58 points more than Sofia. How many points did Jonas score?
Bigger equals smaller plus gap, which is 2 + 58.
To keep the columns even, read 2 as 02, which is 2 columns.
Start with the ones on the right, column c0.
c0 has 2 and 8. Their sum is 10. Write 0, carry 1. Answer building: 0.... | word_problem | null | 2 | 58 | add | 60 | 2 | 8 | 1 | compare_larger | 3 | 5 | 6 | null | null | null |
Evaluate 994 + 58.
Zero pad 58 to 058, yielding 3 columns.
Handle one column at a time, beginning at c0.
Column c0: 4 + 8 gives 12. The digit is 2 and the carry is 1. So far we have 2.
Column c1: 9 + 5 + 1 gives 15. The digit is 5 and the carry is 1. So far we have 52.
Column c2: 9 + 0 + 1 gives 10. The digit is 0 and ... | procedure | null | 994 | 58 | add | 1,052 | 3 | 9 | 3 | null | null | null | null | null | null | null |
72 plus 37 equals 109 | plain | 3 | 72 | 37 | add | 109 | 2 | null | 1 | null | null | null | null | null | null | null |
Try 9781 + 792.
To keep the columns even, read 792 as 0792, which is 4 columns.
Start with the ones on the right, column c0.
c0 has 1 and 2. Their sum is 3. Write 3, carry 0. Answer building: 3.
c1 has 8 and 9. Their sum is 17. Write 7, carry 1. Answer building: 73.
c2 has 7 and 7 and a carried 1. Their sum is 15. Writ... | procedure | null | 9,781 | 792 | add | 10,573 | 4 | 8 | 3 | null | null | null | null | null | null | null |
91 - 87 = 4 | plain | 0 | 91 | 87 | sub | 4 | 2 | null | null | null | null | null | null | 1 | false | false |
Compute 6 + 95. The answer is 101. | plain | 5 | 6 | 95 | add | 101 | 2 | null | 2 | null | null | null | null | null | null | null |
There were 0 apples in the drawer. After more were added there are 1959 apples. How many apples were added?
We know the total 1959 and one part 0, so the other part is 1959 - 0.
Since 0 is shorter, write it as 0000 across 4 columns.
Subtract column by column, starting at c0.
At c0 we take 0 from 9, which leaves 9. That... | word_problem | null | 1,959 | 0 | sub | 1,959 | 4 | 3 | null | missing_addend | 2 | 6 | 9 | 0 | false | false |
A fund contained 3250 coins and 365 coins were withdrawn. How much is in the fund now?
Starting at 3250 and paying 365 gives 3250 - 365.
365 becomes 0365 to fill 4 columns.
Rightmost column first.
For c0, 0 falls short of 5, so borrow, and 10 minus 5 comes to 5. Record 5, borrow 1. Partial answer: 5.
For c1, the amount... | word_problem | null | 3,250 | 365 | sub | 2,885 | 4 | 6 | null | balance_change | 4 | 6 | 1 | 3 | true | false |
278 - 96 = ?
Pad 96 to 096 so both numbers have 3 columns.
Start at column c0, the rightmost column.
Column c0: 8 minus 6 is 2. Write 2, no borrow. Digits so far: 2.
Column c1: 7 is less than 9, so borrow. 17 minus 9 is 8. Write 8, borrow 1. Digits so far: 82.
Column c2: subtract 0 plus borrow 1, that is 1. 2 minus 1 i... | procedure | null | 278 | 96 | sub | 182 | 3 | 0 | null | null | null | null | null | 1 | false | false |
Evaluate 6 + 41.
Zero pad 6 to 06, yielding 2 columns.
Handle one column at a time, beginning at c0.
Column c0: 6 + 1 gives 7. The digit is 7 and the carry is 0. So far we have 7.
Column c1: 0 + 4 gives 4. The digit is 4 and the carry is 0. So far we have 47.
The columns are exhausted with a carry of 0, so the answer i... | procedure | null | 6 | 41 | add | 47 | 2 | 9 | 0 | null | null | null | null | null | null | null |
Compute 7110 + 55. The answer is 7165. | plain | 5 | 7,110 | 55 | add | 7,165 | 4 | null | 0 | null | null | null | null | null | null | null |
Evaluate 9543 - 3868.
Handle one column at a time, beginning at c0.
Column c0: 3 is below 8, so a borrow is required, and 13 - 8 gives 5. The digit is 5 and the borrow is 1. So far we have 5.
Column c1: the amount to remove is 6 + 1, or 7, which exceeds 4, so a borrow is required, and 14 - 7 gives 7. The digit is 7 and... | procedure | null | 9,543 | 3,868 | sub | 5,675 | 4 | 9 | null | null | null | null | null | 3 | true | false |
2017 is written two thousand seventeen | numword | 1 | 2,017 | 0 | none | 2,017 | 4 | null | null | null | null | null | null | null | null | null |
The value of 6063 - 8 is 6055. | plain | 7 | 6,063 | 8 | sub | 6,055 | 4 | null | null | null | null | null | null | 1 | false | false |
There were 1 ribbon in the library. After more were added there are 48 ribbons. How many ribbons were added?
The increase from 1 to 48 is 48 - 1.
Align the columns by writing 1 as 01, giving 2 columns.
Line up the columns and start on the right.
Column c0 gives 8 minus 1 is 7. Digit is 7, borrow is 0. Built so far: 7.
... | word_problem | null | 48 | 1 | sub | 47 | 2 | 4 | null | missing_addend | 2 | 7 | 7 | 0 | false | false |
Work out 3399 + 9634.
Work right to left, one column at a time.
In c0, 9 and 4 make 13. Put down 3 and carry 1. So far: 3.
In c1, 9 and 3 and the carried 1 make 13. Put down 3 and carry 1. So far: 33.
In c2, 3 and 6 and the carried 1 make 10. Put down 0 and carry 1. So far: 033.
In c3, 3 and 9 and the carried 1 make 13... | procedure | null | 3,399 | 9,634 | add | 13,033 | 4 | 1 | 4 | null | null | null | null | null | null | null |
nine hundred fifty one plus eighty makes one thousand thirty one | numword_calc | 7 | 951 | 80 | add | 1,031 | 3 | null | 2 | null | null | null | null | null | null | null |
Compute 2963 - 6870.
The subtrahend 6870 exceeds the minuend 2963, so the answer is negative. Evaluate 6870 minus 2963.
Line up the columns and start on the right.
Column c0 needs 3 from 0, which is too small, so borrow. Then 10 minus 3 is 7. Digit is 7, borrow is 1. Built so far: 7.
Column c1 needs 6 plus carry-in bor... | procedure | null | 2,963 | 6,870 | sub | -3,907 | 4 | 4 | null | null | null | null | null | 2 | false | true |
Evaluate 6 + 8.
Handle one column at a time, beginning at c0.
Column c0: 6 + 8 gives 14. The digit is 4 and the carry is 1. So far we have 4.
The columns are exhausted with a carry of 1, which becomes the leading digit. So far we have 14.
Including the leading carry, the answer is 14.
6 + 8 = 14 | procedure | null | 6 | 8 | add | 14 | 1 | 9 | 1 | null | null | null | null | null | null | null |
Try 3 + 343.
To keep the columns even, read 3 as 003, which is 3 columns.
Start with the ones on the right, column c0.
c0 has 3 and 3. Their sum is 6. Write 6, carry 0. Answer building: 6.
c1 has 0 and 4. Their sum is 4. Write 4, carry 0. Answer building: 46.
c2 has 0 and 3. Their sum is 3. Write 3, carry 0. Answer bui... | procedure | null | 3 | 343 | add | 346 | 3 | 8 | 0 | null | null | null | null | null | null | null |
4 + 789 = 793 ; in words: four plus seven hundred eighty nine is seven hundred ninety three | numword_calc | 0 | 4 | 789 | add | 793 | 3 | null | 1 | null | null | null | null | null | null | null |
Find the value of 6 - 9.
Since 9 exceeds 6, the result is negative. First find 9 minus 6.
Begin from the rightmost digits and move left.
c0: 9 - 6 = 3. Keep 3, borrow nothing. Running answer: 3.
The columns run out with nothing borrowed, so the answer is 3.
Reapply the sign to get -3.
6 - 9 = -3 | procedure | null | 6 | 9 | sub | -3 | 1 | 2 | null | null | null | null | null | 0 | false | true |
What is 442 + 762?
Add column by column, starting at c0.
At c0 we have 2 plus 2, which is 4. That leaves 4 with no carry. Answer so far: 4.
At c1 we have 4 plus 6, which is 10. That leaves 0 with a carry of 1. Answer so far: 04.
At c2 we have 4 plus 7 plus a carried 1, which is 12. That leaves 2 with a carry of 1. Answ... | procedure | null | 442 | 762 | add | 1,204 | 3 | 3 | 2 | null | null | null | null | null | null | null |
The value of 5885 + 368 is 6253. | plain | 7 | 5,885 | 368 | add | 6,253 | 4 | null | 3 | null | null | null | null | null | null | null |
The number 5939 reads as five thousand nine hundred thirty nine | numword | 3 | 5,939 | 0 | none | 5,939 | 4 | null | null | null | null | null | null | null | null | null |
What is 4652 + 4887? 9539 | plain | 2 | 4,652 | 4,887 | add | 9,539 | 4 | null | 2 | null | null | null | null | null | null | null |
Tariq walked 30 steps and Hassan walked 3 steps. How many more steps did Tariq walk?
It differs by 27 balloons. | word_problem_short | null | 30 | 3 | sub | 27 | 2 | 1 | null | compare_diff | 5 | 7 | 9 | 1 | false | false |
2984 is written two thousand nine hundred eighty four | numword | 1 | 2,984 | 0 | none | 2,984 | 4 | null | null | null | null | null | null | null | null | null |
Step through 8 + 8.
Take the columns in order from c0.
c0: 8 plus 8 makes 16, so write 6 and carry 1. Collected: 6.
All columns are spent and a carry of 1 survives, so place it at the front. Collected: 16.
With that carry in place the answer is 16.
8 + 8 = 16 | procedure | null | 8 | 8 | add | 16 | 1 | 5 | 1 | null | null | null | null | null | null | null |
Q: 735 + 7 A: 742 | plain | 8 | 735 | 7 | add | 742 | 3 | null | 1 | null | null | null | null | null | null | null |
Work out 470 - 91.
Write 91 as 091 so both have 3 columns.
Work right to left, one column at a time.
In c0, 0 will not cover 1, so borrow. 10 take away 1 leaves 9. Put down 9 and borrow 1. So far: 9.
In c1, take 9 and the borrowed 1, which is 10. 7 will not cover 10, so borrow. 17 take away 10 leaves 7. Put down 7 and ... | procedure | null | 470 | 91 | sub | 379 | 3 | 1 | null | null | null | null | null | 2 | true | false |
One basket holds 8679 berries and another holds 0 berries. How many berries are there in all?
Combining 8679 and 0 means computing 8679 + 0.
To keep the columns even, read 0 as 0000, which is 4 columns.
Start with the ones on the right, column c0.
c0 has 9 and 0. Their sum is 9. Write 9, carry 0. Answer building: 9.
c1... | word_problem | null | 8,679 | 0 | add | 8,679 | 4 | 8 | 0 | combine | 2 | 2 | 4 | null | null | null |
Compute 5750 - 3880.
Line up the columns and start on the right.
Column c0 gives 0 minus 0 is 0. Digit is 0, borrow is 0. Built so far: 0.
Column c1 needs 8 from 5, which is too small, so borrow. Then 15 minus 8 is 7. Digit is 7, borrow is 1. Built so far: 70.
Column c2 needs 8 plus carry-in borrow 1, so 9, and 7 is to... | procedure | null | 5,750 | 3,880 | sub | 1,870 | 4 | 4 | null | null | null | null | null | 2 | true | false |
28 - 259 -> -231 | plain | 6 | 28 | 259 | sub | -231 | 3 | null | null | null | null | null | null | 0 | false | true |
Compute 325 - 4389. The answer is -4064. | plain | 5 | 325 | 4,389 | sub | -4,064 | 4 | null | null | null | null | null | null | 0 | false | true |
29 + 88 = 117 | plain | 0 | 29 | 88 | add | 117 | 2 | null | 2 | null | null | null | null | null | null | null |
Ingrid collected 595 coins last week and 399 more coins this week. How many coins has Ingrid collected in total?
Ingrid starts with 595 and gains 399. This is addition, so compute 595 + 399.
Begin from the rightmost digits and move left.
c0: 5 + 9 = 14. Keep 4, carry 1. Running answer: 4.
c1: 9 + 9 + 1 carried = 19. Ke... | word_problem | null | 595 | 399 | add | 994 | 3 | 2 | 2 | change_add | 4 | 0 | 3 | null | null | null |
A shelf held 754 marbles. More were stacked on and now it holds 5238 marbles. How many marbles were stacked on?
Take the starting 754 away from the final 5238, giving 5238 - 754.
Extend 754 to 0754 so there are 4 matching columns.
Take the columns in order from c0.
c0: 8 less 4 makes 4, so write 4 and borrow nothing. C... | word_problem | null | 5,238 | 754 | sub | 4,484 | 4 | 5 | null | missing_addend | 4 | 3 | 7 | 2 | true | false |
45 - 34 = 11 ; in words: forty five minus thirty four is eleven | numword_calc | 0 | 45 | 34 | sub | 11 | 2 | null | null | null | null | null | null | 0 | false | false |
Q: 3997 - 8504 A: -4507 | plain | 8 | 3,997 | 8,504 | sub | -4,507 | 4 | null | null | null | null | null | null | 3 | true | true |
The temperature was 3 degrees. It fell by 3 degrees. What is the temperature now?
Going down from 3 by 3 means computing 3 - 3.
Work right to left, one column at a time.
In c0, 3 take away 3 leaves 0. Put down 0, nothing to borrow. So far: 0.
Columns are done and nothing is borrowed, so the answer is 0.
The answer is 0... | word_problem | null | 3 | 3 | sub | 0 | 1 | 1 | null | temp_change | 0 | 3 | 2 | 0 | false | false |
Step through 913 - 234.
Take the columns in order from c0.
c0: 3 cannot give 4, so borrow, and 13 less 4 makes 9. Write 9 and borrow 1. Collected: 9.
c1: we owe 3 plus the borrow of 1, so 4, and 1 cannot give 4, so borrow. Then 11 less 4 makes 7. Write 7 and borrow 1. Collected: 79.
c2: we owe 2 plus the borrow of 1, s... | procedure | null | 913 | 234 | sub | 679 | 3 | 5 | null | null | null | null | null | 2 | true | false |
Compute 549 - 6662.
The subtrahend 6662 exceeds the minuend 549, so the answer is negative. Evaluate 6662 minus 549.
Align the columns by writing 549 as 0549, giving 4 columns.
Line up the columns and start on the right.
Column c0 needs 9 from 2, which is too small, so borrow. Then 12 minus 9 is 3. Digit is 3, borrow i... | procedure | null | 549 | 6,662 | sub | -6,113 | 4 | 4 | null | null | null | null | null | 1 | false | true |
Step through 314 - 6.
Extend 6 to 006 so there are 3 matching columns.
Take the columns in order from c0.
c0: 4 cannot give 6, so borrow, and 14 less 6 makes 8. Write 8 and borrow 1. Collected: 8.
c1: we owe 0 plus the borrow of 1, so 1, and 1 less 1 makes 0. Write 0 and borrow nothing. Collected: 08.
c2: 3 less 0 make... | procedure | null | 314 | 6 | sub | 308 | 3 | 5 | null | null | null | null | null | 1 | false | false |
Last year 78 shells were made. This year 36 more shells were made than last year. How many shells were made this year?
It works out to 114 shells. | word_problem_short | null | 78 | 36 | add | 114 | 2 | 1 | 2 | compare_larger | 5 | 5 | 7 | null | null | null |
99 minus 59 equals 40 | plain | 3 | 99 | 59 | sub | 40 | 2 | null | null | null | null | null | null | 0 | false | false |
Evaluate 7166 + 4966.
Handle one column at a time, beginning at c0.
Column c0: 6 + 6 gives 12. The digit is 2 and the carry is 1. So far we have 2.
Column c1: 6 + 6 + 1 gives 13. The digit is 3 and the carry is 1. So far we have 32.
Column c2: 1 + 9 + 1 gives 11. The digit is 1 and the carry is 1. So far we have 132.
C... | procedure | null | 7,166 | 4,966 | add | 12,132 | 4 | 9 | 4 | null | null | null | null | null | null | null |
Hassan walked 896 steps. Nadia walked 584 steps more than Hassan. How many steps did Nadia walk?
So the larger amount is 1480 stones. | word_problem_short | null | 896 | 584 | add | 1,480 | 3 | 9 | 3 | compare_larger | 6 | 1 | 4 | null | null | null |
At first Rosa had 120 tickets. Later she received 858 more tickets as a gift. How many tickets does Rosa have now?
Total equals start plus gain, so 120 + 858.
Go through the columns from right to left.
Column c0 is 0 plus 8 = 8. Write down 8 and carry nothing forward. Result so far: 8.
Column c1 is 2 plus 5 = 7. Write ... | word_problem | null | 120 | 858 | add | 978 | 3 | 7 | 0 | change_add | 6 | 9 | 2 | null | null | null |
At noon it was 7 degrees. By night it had dropped 88 degrees. What is the temperature at night?
The new value equals old minus fall, that is 7 - 88.
88 is bigger than 7, so expect a negative answer. Work out 88 minus 7.
Write 7 as 07 so both have 2 columns.
Work right to left, one column at a time.
In c0, 8 take away 7... | word_problem | null | 7 | 88 | sub | -81 | 2 | 1 | null | temp_change | 1 | 4 | 4 | 0 | false | true |
Let us add up 0 + 5.
Go through the columns from right to left.
Column c0 is 0 plus 5 = 5. Write down 5 and carry nothing forward. Result so far: 5.
No column remains and nothing is carried, so the answer is 5.
0 + 5 = 5 | procedure | null | 0 | 5 | add | 5 | 1 | 7 | 0 | null | null | null | null | null | null | null |
Evaluate 1209 - 377: 832 | plain | 9 | 1,209 | 377 | sub | 832 | 4 | null | null | null | null | null | null | 2 | true | false |
Evaluate 9174 - 6655: 2519 | plain | 9 | 9,174 | 6,655 | sub | 2,519 | 4 | null | null | null | null | null | null | 2 | false | false |
Compute 30 - 19. The answer is 11. | plain | 5 | 30 | 19 | sub | 11 | 2 | null | null | null | null | null | null | 1 | false | false |
Grace owned 17 cards. Omar handed over some cards, bringing the total to 252. How many cards did Omar hand over?
The increase from 17 to 252 is 252 - 17.
Treat 17 as 017 to match the 3 columns.
Begin from the rightmost digits and move left.
c0: 2 is short of 7, so borrow. 12 - 7 = 5. Keep 5, borrow 1. Running answer: 5... | word_problem | null | 252 | 17 | sub | 235 | 3 | 2 | null | missing_addend | 7 | 7 | 1 | 1 | false | false |
Sofia had 499 balloons but dropped 12 balloons. How many balloons does Sofia have left?
Take the 12 away from the 499, that is 499 - 12.
To keep the columns even, read 12 as 012, which is 3 columns.
Start with the ones on the right, column c0.
c0 has 9 and takes away 2. That leaves 7. Write 7, borrow 0. Answer building... | word_problem | null | 499 | 12 | sub | 487 | 3 | 8 | null | change_sub | 7 | 3 | 2 | 0 | false | false |
Work out 589 - 517.
Work right to left, one column at a time.
In c0, 9 take away 7 leaves 2. Put down 2, nothing to borrow. So far: 2.
In c1, 8 take away 1 leaves 7. Put down 7, nothing to borrow. So far: 72.
In c2, 5 take away 5 leaves 0. Put down 0, nothing to borrow. So far: 072.
Columns are done and nothing is borr... | procedure | null | 589 | 517 | sub | 72 | 3 | 1 | null | null | null | null | null | 0 | false | false |
6749 - 12?
12 becomes 0012 to fill 4 columns.
Rightmost column first.
For c0, 9 minus 2 comes to 7. Record 7, borrow 0. Partial answer: 7.
For c1, 4 minus 1 comes to 3. Record 3, borrow 0. Partial answer: 37.
For c2, 7 minus 0 comes to 7. Record 7, borrow 0. Partial answer: 737.
For c3, 6 minus 0 comes to 6. Record 6, ... | procedure | null | 6,749 | 12 | sub | 6,737 | 4 | 6 | null | null | null | null | null | 0 | false | false |
Yuki began the week with 852 coins and spent 395 coins. How much is left?
The answer is 457 coins. | word_problem_short | null | 852 | 395 | sub | 457 | 3 | 3 | null | balance_change | 5 | 6 | 2 | 2 | true | false |
Try 0 - 6.
Careful: 6 is more than 0, so the answer dips below zero. Try 6 minus 0 first.
Start with the ones on the right, column c0.
c0 has 6 and takes away 0. That leaves 6. Write 6, borrow 0. Answer building: 6.
That was the last column and nothing is borrowed, so the answer is 6.
Now put the minus back, so the ans... | procedure | null | 0 | 6 | sub | -6 | 1 | 8 | null | null | null | null | null | 0 | false | true |
62 - 8?
8 becomes 08 to fill 2 columns.
Rightmost column first.
For c0, 2 falls short of 8, so borrow, and 12 minus 8 comes to 4. Record 4, borrow 1. Partial answer: 4.
For c1, the amount due is 0 plus 1, or 1, and 6 minus 1 comes to 5. Record 5, borrow 0. Partial answer: 54.
Out of columns with borrow 0, so the answer... | procedure | null | 62 | 8 | sub | 54 | 2 | 6 | null | null | null | null | null | 1 | false | false |
What is 612 - 1270?
Here 1270 is greater than 612, so the answer will be negative. Work out 1270 minus 612 instead.
Since 612 is shorter, write it as 0612 across 4 columns.
Subtract column by column, starting at c0.
At c0 we need 2 from 0, but 0 is too small, so we borrow. Now 10 minus 2 leaves 8. That is 8 with a borr... | procedure | null | 612 | 1,270 | sub | -658 | 4 | 3 | null | null | null | null | null | 2 | false | true |
Anika bought 8 stickers and used 2 stickers. How many stickers are still unused?
Anika starts with 8 and loses 2. This is subtraction, so compute 8 - 2.
Work right to left, one column at a time.
In c0, 8 take away 2 leaves 6. Put down 6, nothing to borrow. So far: 6.
Columns are done and nothing is borrowed, so the ans... | word_problem | null | 8 | 2 | sub | 6 | 1 | 1 | null | change_sub | 5 | 0 | 9 | 0 | false | false |
Let us add up 348 + 963.
Go through the columns from right to left.
Column c0 is 8 plus 3 = 11. Write down 1 and carry 1 forward. Result so far: 1.
Column c1 is 4 plus 6 plus the 1 carried in = 11. Write down 1 and carry 1 forward. Result so far: 11.
Column c2 is 3 plus 9 plus the 1 carried in = 13. Write down 3 and ca... | procedure | null | 348 | 963 | add | 1,311 | 3 | 7 | 3 | null | null | null | null | null | null | null |
The oven cooled from 47 degrees by 92 degrees. What temperature is the oven now?
A fall means subtraction, so we need 47 - 92.
Careful: 92 is more than 47, so the answer dips below zero. Try 92 minus 47 first.
Start with the ones on the right, column c0.
c0 has 2 and takes away 7, but 2 is smaller, so borrow first. The... | word_problem | null | 47 | 92 | sub | -45 | 2 | 8 | null | temp_change | 6 | 1 | 4 | 1 | false | true |
The number 3938 reads as three thousand nine hundred thirty eight | numword | 3 | 3,938 | 0 | none | 3,938 | 4 | null | null | null | null | null | null | null | null | null |
2410 + 392 = 2802 . | plain | 1 | 2,410 | 392 | add | 2,802 | 4 | null | 1 | null | null | null | null | null | null | null |
Noor counted 9 spoons in the morning and 1425 spoons at night after more arrived. How many spoons arrived?
Noor starts at 9 and ends at 1425. The gain is unknown, so compute 1425 - 9.
To keep the columns even, read 9 as 0009, which is 4 columns.
Start with the ones on the right, column c0.
c0 has 5 and takes away 9, bu... | word_problem | null | 1,425 | 9 | sub | 1,416 | 4 | 8 | null | missing_addend | 6 | 0 | 6 | 1 | false | false |
Nikhil began the week with 63 points and spent 2 points. How much is left?
So the balance comes to 61 points. | word_problem_short | null | 63 | 2 | sub | 61 | 2 | 1 | null | balance_change | 5 | 5 | 7 | 0 | false | false |
Step through 2 - 8.
Because 8 outweighs 2, the answer carries a minus sign. Step through 8 minus 2.
Take the columns in order from c0.
c0: 8 less 2 makes 6, so write 6 and borrow nothing. Collected: 6.
All columns are spent and no borrow survives, so the answer is 6.
Attach the minus sign to get -6.
2 - 8 = -6 | procedure | null | 2 | 8 | sub | -6 | 1 | 5 | null | null | null | null | null | 0 | false | true |
Find the value of 62 - 350.
Since 350 exceeds 62, the result is negative. First find 350 minus 62.
Treat 62 as 062 to match the 3 columns.
Begin from the rightmost digits and move left.
c0: 0 is short of 2, so borrow. 10 - 2 = 8. Keep 8, borrow 1. Running answer: 8.
c1: 6 plus the borrowed 1 is 7. 5 is short of 7, so b... | procedure | null | 62 | 350 | sub | -288 | 3 | 2 | null | null | null | null | null | 2 | true | true |
There are 6 clips in the first box. The second box has 7 more clips than the first. How many clips are in the second box?
The result is 13 clips. | word_problem_short | null | 6 | 7 | add | 13 | 1 | 3 | 1 | compare_larger | 2 | 5 | 9 | null | null | null |
Ingrid had 46 bottles in the shop. Hassan put 773 more bottles in. How many bottles are in the shop now?
The starting amount is 46 and the gain is 773, so the total is 46 + 773.
Align the columns by writing 46 as 046, giving 3 columns.
Line up the columns and start on the right.
Column c0 gives 6 plus 3 is 9. Digit is ... | word_problem | null | 46 | 773 | add | 819 | 3 | 4 | 1 | change_add | 5 | 1 | 5 | null | null | null |
133 - 21 = 112. Read aloud: one hundred thirty three minus twenty one is one hundred twelve. | numword_calc | 5 | 133 | 21 | sub | 112 | 3 | null | null | null | null | null | null | 0 | false | false |
5212 + 646?
646 becomes 0646 to fill 4 columns.
Rightmost column first.
For c0, 2 plus 6 comes to 8. Record 8, carry 0. Partial answer: 8.
For c1, 1 plus 4 comes to 5. Record 5, carry 0. Partial answer: 58.
For c2, 2 plus 6 comes to 8. Record 8, carry 0. Partial answer: 858.
For c3, 5 plus 0 comes to 5. Record 5, carry... | procedure | null | 5,212 | 646 | add | 5,858 | 4 | 6 | 0 | null | null | null | null | null | null | null |
9 + 73 = 82 | plain | 0 | 9 | 73 | add | 82 | 2 | null | 1 | null | null | null | null | null | null | null |
245 - 364 = ?
364 is larger than 245, so the answer is negative. Compute 364 minus 245 first.
Start at column c0, the rightmost column.
Column c0: 4 is less than 5, so borrow. 14 minus 5 is 9. Write 9, borrow 1. Digits so far: 9.
Column c1: subtract 4 plus borrow 1, that is 5. 6 minus 5 is 1. Write 1, no borrow. Digits... | procedure | null | 245 | 364 | sub | -119 | 3 | 0 | null | null | null | null | null | 1 | false | true |
6534 - 363 = ?
Pad 363 to 0363 so both numbers have 4 columns.
Start at column c0, the rightmost column.
Column c0: 4 minus 3 is 1. Write 1, no borrow. Digits so far: 1.
Column c1: 3 is less than 6, so borrow. 13 minus 6 is 7. Write 7, borrow 1. Digits so far: 71.
Column c2: subtract 3 plus borrow 1, that is 4. 5 minus... | procedure | null | 6,534 | 363 | sub | 6,171 | 4 | 0 | null | null | null | null | null | 1 | false | false |
Q: 604 + 204 A: 808 | plain | 8 | 604 | 204 | add | 808 | 3 | null | 0 | null | null | null | null | null | null | null |
Arun had 1765 marbles and bought some more at the shop. Now Arun has 8381 marbles. How many marbles were bought?
Arun starts at 1765 and ends at 8381. The gain is unknown, so compute 8381 - 1765.
Take the columns in order from c0.
c0: 1 cannot give 5, so borrow, and 11 less 5 makes 6. Write 6 and borrow 1. Collected: 6... | word_problem | null | 8,381 | 1,765 | sub | 6,616 | 4 | 5 | null | missing_addend | 3 | 0 | 4 | 2 | false | false |
Q: what is seven thousand four hundred twelve minus sixty seven? A: seven thousand three hundred forty five | numword_calc | 8 | 7,412 | 67 | sub | 7,345 | 4 | null | null | null | null | null | null | 2 | true | false |
Step through 67 + 1.
Extend 1 to 01 so there are 2 matching columns.
Take the columns in order from c0.
c0: 7 plus 1 makes 8, so write 8 and carry nothing. Collected: 8.
c1: 6 plus 0 makes 6, so write 6 and carry nothing. Collected: 68.
All columns are spent and no carry survives, so the answer is 68.
67 + 1 = 68 | procedure | null | 67 | 1 | add | 68 | 2 | 5 | 0 | null | null | null | null | null | null | null |
0 plus 969 is 969 | plain | 4 | 0 | 969 | add | 969 | 3 | null | 0 | null | null | null | null | null | null | null |
Evaluate 773 + 965.
Handle one column at a time, beginning at c0.
Column c0: 3 + 5 gives 8. The digit is 8 and the carry is 0. So far we have 8.
Column c1: 7 + 6 gives 13. The digit is 3 and the carry is 1. So far we have 38.
Column c2: 7 + 9 + 1 gives 17. The digit is 7 and the carry is 1. So far we have 738.
The colu... | procedure | null | 773 | 965 | add | 1,738 | 3 | 9 | 2 | null | null | null | null | null | null | null |
28 - 8?
8 becomes 08 to fill 2 columns.
Rightmost column first.
For c0, 8 minus 8 comes to 0. Record 0, borrow 0. Partial answer: 0.
For c1, 2 minus 0 comes to 2. Record 2, borrow 0. Partial answer: 20.
Out of columns with borrow 0, so the answer is 20.
28 - 8 = 20 | procedure | null | 28 | 8 | sub | 20 | 2 | 6 | null | null | null | null | null | 0 | false | false |
5 + 4 = ?
Start at column c0, the rightmost column.
Column c0: 5 plus 4 is 9. Write 9, no carry. Digits so far: 9.
No columns left and no carry, so the answer is 9.
5 + 4 = 9 | procedure | null | 5 | 4 | add | 9 | 1 | 0 | 0 | null | null | null | null | null | null | null |
Step through 6493 + 7825.
Take the columns in order from c0.
c0: 3 plus 5 makes 8, so write 8 and carry nothing. Collected: 8.
c1: 9 plus 2 makes 11, so write 1 and carry 1. Collected: 18.
c2: 4 plus 8 plus the carry of 1 makes 13, so write 3 and carry 1. Collected: 318.
c3: 6 plus 7 plus the carry of 1 makes 14, so wr... | procedure | null | 6,493 | 7,825 | add | 14,318 | 4 | 5 | 3 | null | null | null | null | null | null | null |
Evaluate 126 - 1236.
Given that 1236 is greater than 126, the result is negative. Evaluate 1236 - 126.
Zero pad 126 to 0126, yielding 4 columns.
Handle one column at a time, beginning at c0.
Column c0: 6 - 6 gives 0. The digit is 0 and the borrow is 0. So far we have 0.
Column c1: 3 - 2 gives 1. The digit is 1 and the ... | procedure | null | 126 | 1,236 | sub | -1,110 | 4 | 9 | null | null | null | null | null | 0 | false | true |
Let us add up 90 + 84.
Go through the columns from right to left.
Column c0 is 0 plus 4 = 4. Write down 4 and carry nothing forward. Result so far: 4.
Column c1 is 9 plus 8 = 17. Write down 7 and carry 1 forward. Result so far: 74.
No column remains, yet 1 is still carried, so it becomes the first digit. Result so far:... | procedure | null | 90 | 84 | add | 174 | 2 | 7 | 1 | null | null | null | null | null | null | null |
Let us work through 1130 - 855.
First make the lengths match: 855 is written 0855, so 4 columns.
Go through the columns from right to left.
Column c0 wants 5 out of 0, which is not enough, so we borrow, and 10 minus 5 = 5. Write down 5 and borrow 1. Result so far: 5.
Column c1 wants 5 plus the 1 borrowed in, that is 6,... | procedure | null | 1,130 | 855 | sub | 275 | 4 | 7 | null | null | null | null | null | 3 | true | false |
Compute 935 - 3.
Align the columns by writing 3 as 003, giving 3 columns.
Line up the columns and start on the right.
Column c0 gives 5 minus 3 is 2. Digit is 2, borrow is 0. Built so far: 2.
Column c1 gives 3 minus 0 is 3. Digit is 3, borrow is 0. Built so far: 32.
Column c2 gives 9 minus 0 is 9. Digit is 9, borrow is... | procedure | null | 935 | 3 | sub | 932 | 3 | 4 | null | null | null | null | null | 0 | false | false |
One basket holds 31 balloons and another holds 3 balloons. How many balloons are there in all?
Together means addition here, so compute 31 + 3.
To keep the columns even, read 3 as 03, which is 2 columns.
Start with the ones on the right, column c0.
c0 has 1 and 3. Their sum is 4. Write 4, carry 0. Answer building: 4.
c... | word_problem | null | 31 | 3 | add | 34 | 2 | 8 | 0 | combine | 2 | 6 | 7 | null | null | null |
Work out 599 + 996.
Work right to left, one column at a time.
In c0, 9 and 6 make 15. Put down 5 and carry 1. So far: 5.
In c1, 9 and 9 and the carried 1 make 19. Put down 9 and carry 1. So far: 95.
In c2, 5 and 9 and the carried 1 make 15. Put down 5 and carry 1. So far: 595.
Columns are done but a carry of 1 is left ... | procedure | null | 599 | 996 | add | 1,595 | 3 | 1 | 3 | null | null | null | null | null | null | null |
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