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A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 0, equation weights = [1, 7, 2]
2
x = 0, equation weights = [6, 3]
3
x = 7, equation weights = [1, 9, 7]
| 119
| 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
Detailed Instructions: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
See one example below:
Problem: x = 3, equation weights = [4, 2]
Solution: 14
Explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Problem: x = 0, equation weights = [0, 1]
Solution: | 1 | 4 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
One example is below.
Q: x = 3, equation weights = [4, 2]
A: 14
Rationale: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Q: x = 5, equation weights = [6, 5, 7, 2]
A: | 912 | 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Ex Input:
x = 4, equation weights = [6, 9, 1]
Ex Output:
133
Ex Input:
x = 5, equation weights = [1, 8, 5]
Ex Output:
70
Ex Input:
x = 0, equation weights = [6, 1, 3]
Ex Output:
| 3
| 1 | NIv2 | task090_equation_learner_algebra | fs_opt |
Given the task definition, example input & output, solve the new input case.
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Example: x = 3, equation weights = [4, 2]
Output: 14
Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
New input case for you: x = 7, equation weights = [2, 3, 0]
Output: | 119 | 1 | NIv2 | task090_equation_learner_algebra | fs_opt |
Part 1. Definition
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Part 2. Example
x = 3, equation weights = [4, 2]
Answer: 14
Explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Part 3. Exercise
x = 2, equation weights = [7, 8, 3, 2]
Answer: | 96 | 7 | NIv2 | task090_equation_learner_algebra | fs_opt |
Teacher: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Teacher: Now, understand the problem? If you are still confused, see the following example:
x = 3, equation weights = [4, 2]
Solution: 14
Reason: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Now, solve this instance: x = 2, equation weights = [2, 0, 9]
Student: | 17 | 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
instruction:
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
question:
x = 4, equation weights = [0, 8, 3]
answer:
35
question:
x = 0, equation weights = [4, 0, 3]
answer:
3
question:
x = 8, equation weights = [7, 2]
answer:
| 58
| 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
Teacher: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Teacher: Now, understand the problem? If you are still confused, see the following example:
x = 3, equation weights = [4, 2]
Solution: 14
Reason: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Now, solve this instance: x = 5, equation weights = [5, 9, 7]
Student: | 177 | 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
[Q]: x = 7, equation weights = [4, 2, 7]
[A]: 217
[Q]: x = 8, equation weights = [6, 3, 0]
[A]: 408
[Q]: x = 7, equation weights = [2, 3, 8, 1]
[A]: | 890
| 5 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Q: x = 10, equation weights = [9, 6]
A: 96
****
Q: x = 10, equation weights = [7, 0, 2]
A: 702
****
Q: x = 5, equation weights = [5, 9, 7]
A: | 177
****
| 4 | NIv2 | task090_equation_learner_algebra | fs_opt |
Given the task definition, example input & output, solve the new input case.
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Example: x = 3, equation weights = [4, 2]
Output: 14
Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
New input case for you: x = 4, equation weights = [5, 4, 0]
Output: | 96 | 1 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 6, equation weights = [9, 2, 7, 5, 6]
12384
x = 2, equation weights = [3, 0, 4, 5]
37
x = 10, equation weights = [8, 4, 2, 0, 1]
| 84201
| 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Q: x = 10, equation weights = [1, 6, 8]
A: 168
****
Q: x = 10, equation weights = [9, 6, 2]
A: 962
****
Q: x = 5, equation weights = [6, 5, 7, 2]
A: | 912
****
| 4 | NIv2 | task090_equation_learner_algebra | fs_opt |
Detailed Instructions: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
See one example below:
Problem: x = 3, equation weights = [4, 2]
Solution: 14
Explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Problem: x = 0, equation weights = [4, 7]
Solution: | 7 | 4 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Example input: x = 3, equation weights = [4, 2]
Example output: 14
Example explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Q: x = 7, equation weights = [2, 3, 8, 1]
A: | 890 | 3 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 3, equation weights = [5, 4, 0]
57
x = 1, equation weights = [1, 4, 5]
10
x = 10, equation weights = [4, 5, 1]
| 451
| 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 4, equation weights = [4, 1]
17
x = 0, equation weights = [8, 0]
0
x = 2, equation weights = [9, 2]
| 20
| 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
Given the task definition, example input & output, solve the new input case.
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Example: x = 3, equation weights = [4, 2]
Output: 14
Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
New input case for you: x = 6, equation weights = [8, 5, 3, 6, 2]
Output: | 11594 | 1 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
[Q]: x = 9, equation weights = [9, 3, 8]
[A]: 764
[Q]: x = 3, equation weights = [7, 0, 9, 4, 8]
[A]: 668
[Q]: x = 1, equation weights = [8, 4, 7]
[A]: | 19
| 5 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
[EX Q]: x = 10, equation weights = [6, 5, 8]
[EX A]: 658
[EX Q]: x = 10, equation weights = [9, 6, 8]
[EX A]: 968
[EX Q]: x = 4, equation weights = [5, 4, 0]
[EX A]: | 96
| 6 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Example input: x = 3, equation weights = [4, 2]
Example output: 14
Example explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Q: x = 1, equation weights = [7, 6]
A: | 13 | 3 | NIv2 | task090_equation_learner_algebra | fs_opt |
Teacher: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Teacher: Now, understand the problem? If you are still confused, see the following example:
x = 3, equation weights = [4, 2]
Solution: 14
Reason: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Now, solve this instance: x = 1, equation weights = [8, 4, 7]
Student: | 19 | 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Q: x = 0, equation weights = [0, 8, 3, 6]
A: 6
****
Q: x = 4, equation weights = [3, 2, 1]
A: 57
****
Q: x = 3, equation weights = [7, 8, 9]
A: | 96
****
| 4 | NIv2 | task090_equation_learner_algebra | fs_opt |
Given the task definition, example input & output, solve the new input case.
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Example: x = 3, equation weights = [4, 2]
Output: 14
Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
New input case for you: x = 3, equation weights = [7, 8, 9]
Output: | 96 | 1 | NIv2 | task090_equation_learner_algebra | fs_opt |
TASK DEFINITION: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
PROBLEM: x = 1, equation weights = [7, 0, 5]
SOLUTION: 12
PROBLEM: x = 3, equation weights = [3, 5, 9]
SOLUTION: 51
PROBLEM: x = 6, equation weights = [6, 7, 9, 8, 5]
SOLUTION: | 9665
| 8 | NIv2 | task090_equation_learner_algebra | fs_opt |
Detailed Instructions: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
See one example below:
Problem: x = 3, equation weights = [4, 2]
Solution: 14
Explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Problem: x = 6, equation weights = [1, 3, 6]
Solution: | 60 | 4 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Example Input: x = 3, equation weights = [1, 8, 2]
Example Output: 35
Example Input: x = 7, equation weights = [2, 8, 1]
Example Output: 155
Example Input: x = 5, equation weights = [0, 5, 9, 7]
Example Output: | 177
| 3 | NIv2 | task090_equation_learner_algebra | fs_opt |
instruction:
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
question:
x = 2, equation weights = [7, 1, 8]
answer:
38
question:
x = 8, equation weights = [8, 1, 9, 3, 0]
answer:
33880
question:
x = 0, equation weights = [8, 7]
answer:
| 7
| 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
instruction:
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
question:
x = 9, equation weights = [3, 1]
answer:
28
question:
x = 8, equation weights = [7, 6, 1]
answer:
497
question:
x = 0, equation weights = [1, 0]
answer:
| 0
| 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Example Input: x = 10, equation weights = [6, 7, 2, 9, 4]
Example Output: 67294
Example Input: x = 0, equation weights = [9, 7, 8]
Example Output: 8
Example Input: x = 8, equation weights = [3, 8, 1]
Example Output: | 257
| 3 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Input: Consider Input: x = 9, equation weights = [3, 1]
Output: 28
Input: Consider Input: x = 10, equation weights = [7, 2, 9, 5, 4]
Output: 72954
Input: Consider Input: x = 2, equation weights = [2, 8, 4]
| Output: 28
| 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 3, equation weights = [4, 2]
Solution: 14
Why? Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
New input: x = 5, equation weights = [5, 8, 7]
Solution: | 172 | 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
One example is below.
Q: x = 3, equation weights = [4, 2]
A: 14
Rationale: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Q: x = 8, equation weights = [3, 8, 1]
A: | 257 | 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 4, equation weights = [0, 9, 2, 5, 6]
634
x = 2, equation weights = [4, 7]
15
x = 6, equation weights = [5, 1]
| 31
| 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
[Q]: x = 7, equation weights = [1, 6, 2]
[A]: 93
[Q]: x = 9, equation weights = [9, 0, 1]
[A]: 730
[Q]: x = 7, equation weights = [0, 3, 2]
[A]: | 23
| 5 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Example: x = 3, equation weights = [4, 2]
Example solution: 14
Example explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Problem: x = 3, equation weights = [3, 9, 2]
| Solution: 56 | 5 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
One example: x = 3, equation weights = [4, 2]
Solution is here: 14
Explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Now, solve this: x = 10, equation weights = [2, 8]
Solution: | 28 | 6 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
One example is below.
Q: x = 3, equation weights = [4, 2]
A: 14
Rationale: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Q: x = 7, equation weights = [0, 3, 2]
A: | 23 | 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
Given the task definition, example input & output, solve the new input case.
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Example: x = 3, equation weights = [4, 2]
Output: 14
Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
New input case for you: x = 0, equation weights = [2, 5, 6, 4, 1]
Output: | 1 | 1 | NIv2 | task090_equation_learner_algebra | fs_opt |
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 3, equation weights = [4, 2]
Solution: 14
Why? Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
New input: x = 7, equation weights = [8, 0, 2]
Solution: | 394 | 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
TASK DEFINITION: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
PROBLEM: x = 10, equation weights = [2, 3]
SOLUTION: 23
PROBLEM: x = 2, equation weights = [1, 0, 5, 4, 6]
SOLUTION: 50
PROBLEM: x = 7, equation weights = [8, 0, 2]
SOLUTION: | 394
| 8 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Input: Consider Input: x = 0, equation weights = [5, 4, 6]
Output: 6
Input: Consider Input: x = 1, equation weights = [9, 1, 3, 0]
Output: 13
Input: Consider Input: x = 8, equation weights = [6, 1]
| Output: 49
| 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
One example: x = 3, equation weights = [4, 2]
Solution is here: 14
Explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Now, solve this: x = 7, equation weights = [7, 9, 2, 5]
Solution: | 2861 | 6 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Q: x = 5, equation weights = [9, 4]
A: 49
****
Q: x = 6, equation weights = [3, 8]
A: 26
****
Q: x = 5, equation weights = [6, 4]
A: | 34
****
| 4 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Input: Consider Input: x = 0, equation weights = [9, 2, 3]
Output: 3
Input: Consider Input: x = 3, equation weights = [2, 7, 4]
Output: 43
Input: Consider Input: x = 9, equation weights = [5, 1, 9, 2, 8]
| Output: 34289
| 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Q: x = 4, equation weights = [4, 6, 1]
A: 89
****
Q: x = 4, equation weights = [6, 7, 4]
A: 128
****
Q: x = 9, equation weights = [4, 6, 9]
A: | 387
****
| 4 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Ex Input:
x = 5, equation weights = [8, 4, 5, 3]
Ex Output:
1128
Ex Input:
x = 3, equation weights = [1, 8, 2]
Ex Output:
35
Ex Input:
x = 2, equation weights = [6, 4, 3]
Ex Output:
| 35
| 1 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
[EX Q]: x = 1, equation weights = [4, 9]
[EX A]: 13
[EX Q]: x = 2, equation weights = [0, 4, 3, 5, 9]
[EX A]: 63
[EX Q]: x = 5, equation weights = [0, 3, 9]
[EX A]: | 24
| 6 | NIv2 | task090_equation_learner_algebra | fs_opt |
instruction:
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
question:
x = 4, equation weights = [9, 8]
answer:
44
question:
x = 7, equation weights = [9, 8, 5]
answer:
502
question:
x = 7, equation weights = [9, 4, 0]
answer:
| 469
| 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
instruction:
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
question:
x = 1, equation weights = [3, 6, 2]
answer:
11
question:
x = 9, equation weights = [6, 3, 8, 1]
answer:
4690
question:
x = 4, equation weights = [2, 5, 9]
answer:
| 61
| 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
Teacher: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Teacher: Now, understand the problem? If you are still confused, see the following example:
x = 3, equation weights = [4, 2]
Solution: 14
Reason: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Now, solve this instance: x = 1, equation weights = [8, 0, 1]
Student: | 9 | 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Q: x = 4, equation weights = [0, 8, 9, 1]
A: 165
****
Q: x = 3, equation weights = [0, 3, 4]
A: 13
****
Q: x = 5, equation weights = [6, 9, 5]
A: | 200
****
| 4 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
--------
Question: x = 4, equation weights = [5, 1, 0]
Answer: 84
Question: x = 8, equation weights = [8, 0]
Answer: 64
Question: x = 1, equation weights = [1, 4, 3, 9]
Answer: | 17
| 7 | NIv2 | task090_equation_learner_algebra | fs_opt |
instruction:
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
question:
x = 7, equation weights = [6, 0, 1]
answer:
295
question:
x = 9, equation weights = [7, 2, 5]
answer:
590
question:
x = 1, equation weights = [1, 5, 4, 3, 7]
answer:
| 20
| 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
--------
Question: x = 1, equation weights = [1, 4]
Answer: 5
Question: x = 7, equation weights = [0, 1, 9, 5, 4]
Answer: 823
Question: x = 5, equation weights = [2, 7, 8]
Answer: | 93
| 7 | NIv2 | task090_equation_learner_algebra | fs_opt |
Teacher: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Teacher: Now, understand the problem? If you are still confused, see the following example:
x = 3, equation weights = [4, 2]
Solution: 14
Reason: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Now, solve this instance: x = 8, equation weights = [1, 8, 2, 4]
Student: | 1044 | 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
Teacher: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Teacher: Now, understand the problem? If you are still confused, see the following example:
x = 3, equation weights = [4, 2]
Solution: 14
Reason: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Now, solve this instance: x = 4, equation weights = [1, 2, 4]
Student: | 28 | 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
[Q]: x = 2, equation weights = [7, 4, 8]
[A]: 44
[Q]: x = 2, equation weights = [9, 8]
[A]: 26
[Q]: x = 6, equation weights = [0, 9, 8]
[A]: | 62
| 5 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Ex Input:
x = 1, equation weights = [6, 8, 1]
Ex Output:
15
Ex Input:
x = 8, equation weights = [0, 3, 8, 1, 2]
Ex Output:
2058
Ex Input:
x = 4, equation weights = [5, 0]
Ex Output:
| 20
| 1 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 7, equation weights = [5, 1, 6, 0]
1806
x = 1, equation weights = [3, 7, 6]
16
x = 4, equation weights = [1, 2, 4]
| 28
| 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 5, equation weights = [1, 4, 0]
45
x = 9, equation weights = [7, 2, 1]
586
x = 7, equation weights = [5, 3, 9]
| 275
| 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
One example is below.
Q: x = 3, equation weights = [4, 2]
A: 14
Rationale: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Q: x = 7, equation weights = [5, 3, 9]
A: | 275 | 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
Teacher: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Teacher: Now, understand the problem? If you are still confused, see the following example:
x = 3, equation weights = [4, 2]
Solution: 14
Reason: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Now, solve this instance: x = 5, equation weights = [5, 9, 8]
Student: | 178 | 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Input: Consider Input: x = 4, equation weights = [3, 9, 7, 1, 8]
Output: 1468
Input: Consider Input: x = 5, equation weights = [8, 6, 5]
Output: 235
Input: Consider Input: x = 0, equation weights = [7, 0, 3]
| Output: 3
| 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
One example is below.
Q: x = 3, equation weights = [4, 2]
A: 14
Rationale: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Q: x = 4, equation weights = [8, 7, 1, 4]
A: | 632 | 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
Teacher: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Teacher: Now, understand the problem? If you are still confused, see the following example:
x = 3, equation weights = [4, 2]
Solution: 14
Reason: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Now, solve this instance: x = 4, equation weights = [9, 7, 0]
Student: | 172 | 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
instruction:
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
question:
x = 5, equation weights = [0, 7, 9]
answer:
44
question:
x = 6, equation weights = [2, 6, 7]
answer:
115
question:
x = 1, equation weights = [3, 6, 7]
answer:
| 16
| 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Ex Input:
x = 9, equation weights = [9, 7, 5]
Ex Output:
797
Ex Input:
x = 10, equation weights = [2, 0, 1]
Ex Output:
201
Ex Input:
x = 4, equation weights = [9, 7, 0]
Ex Output:
| 172
| 1 | NIv2 | task090_equation_learner_algebra | fs_opt |
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 3, equation weights = [4, 2]
Solution: 14
Why? Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
New input: x = 1, equation weights = [6, 9]
Solution: | 15 | 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Ex Input:
x = 4, equation weights = [9, 0, 5, 6, 4]
Ex Output:
2412
Ex Input:
x = 1, equation weights = [5, 4, 8]
Ex Output:
17
Ex Input:
x = 4, equation weights = [2, 7, 6, 9]
Ex Output:
| 273
| 1 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Let me give you an example: x = 3, equation weights = [4, 2]
The answer to this example can be: 14
Here is why: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
OK. solve this:
x = 6, equation weights = [7, 0, 1]
Answer: | 253 | 8 | NIv2 | task090_equation_learner_algebra | fs_opt |
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 3, equation weights = [4, 2]
Solution: 14
Why? Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
New input: x = 0, equation weights = [1, 9, 8]
Solution: | 8 | 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
Detailed Instructions: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
See one example below:
Problem: x = 3, equation weights = [4, 2]
Solution: 14
Explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Problem: x = 6, equation weights = [0, 5, 9, 3, 1]
Solution: | 1423 | 4 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 9, equation weights = [7, 2, 5]
590
x = 2, equation weights = [3, 4]
10
x = 0, equation weights = [1, 9, 8]
| 8
| 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 6, equation weights = [3, 7, 6, 8]
944
x = 6, equation weights = [4, 9, 3, 1, 0]
7242
x = 1, equation weights = [6, 9]
| 15
| 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
Detailed Instructions: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
See one example below:
Problem: x = 3, equation weights = [4, 2]
Solution: 14
Explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Problem: x = 6, equation weights = [3, 4, 7]
Solution: | 139 | 4 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Q: x = 6, equation weights = [9, 2, 7, 5, 6]
A: 12384
****
Q: x = 1, equation weights = [7, 6, 4, 5, 1]
A: 23
****
Q: x = 6, equation weights = [1, 4, 3]
A: | 63
****
| 4 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Let me give you an example: x = 3, equation weights = [4, 2]
The answer to this example can be: 14
Here is why: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
OK. solve this:
x = 5, equation weights = [4, 8, 7, 3, 2]
Answer: | 3692 | 8 | NIv2 | task090_equation_learner_algebra | fs_opt |
Teacher: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Teacher: Now, understand the problem? If you are still confused, see the following example:
x = 3, equation weights = [4, 2]
Solution: 14
Reason: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Now, solve this instance: x = 6, equation weights = [2, 1, 3]
Student: | 81 | 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Q: x = 8, equation weights = [0, 4, 5, 2]
A: 298
****
Q: x = 6, equation weights = [7, 5, 3]
A: 285
****
Q: x = 6, equation weights = [2, 1, 3]
A: | 81
****
| 4 | NIv2 | task090_equation_learner_algebra | fs_opt |
TASK DEFINITION: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
PROBLEM: x = 7, equation weights = [1, 9, 7]
SOLUTION: 119
PROBLEM: x = 9, equation weights = [8, 4]
SOLUTION: 76
PROBLEM: x = 6, equation weights = [7, 6]
SOLUTION: | 48
| 8 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
One example is below.
Q: x = 3, equation weights = [4, 2]
A: 14
Rationale: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Q: x = 4, equation weights = [0, 7, 5]
A: | 33 | 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 3, equation weights = [4, 2]
Solution: 14
Why? Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
New input: x = 5, equation weights = [3, 9, 1]
Solution: | 121 | 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
instruction:
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
question:
x = 7, equation weights = [1, 9, 7]
answer:
119
question:
x = 8, equation weights = [4, 6, 5]
answer:
309
question:
x = 0, equation weights = [1, 4, 8, 3, 2]
answer:
| 2
| 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Example Input: x = 3, equation weights = [4, 5, 3, 6]
Example Output: 168
Example Input: x = 7, equation weights = [5, 6]
Example Output: 41
Example Input: x = 2, equation weights = [7, 6, 9]
Example Output: | 49
| 3 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Example input: x = 3, equation weights = [4, 2]
Example output: 14
Example explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Q: x = 6, equation weights = [1, 4, 3]
A: | 63 | 3 | NIv2 | task090_equation_learner_algebra | fs_opt |
Part 1. Definition
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Part 2. Example
x = 3, equation weights = [4, 2]
Answer: 14
Explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Part 3. Exercise
x = 2, equation weights = [8, 9, 7, 2, 0]
Answer: | 232 | 7 | NIv2 | task090_equation_learner_algebra | fs_opt |
Part 1. Definition
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Part 2. Example
x = 3, equation weights = [4, 2]
Answer: 14
Explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Part 3. Exercise
x = 3, equation weights = [1, 5, 2]
Answer: | 26 | 7 | NIv2 | task090_equation_learner_algebra | fs_opt |
Teacher: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Teacher: Now, understand the problem? If you are still confused, see the following example:
x = 3, equation weights = [4, 2]
Solution: 14
Reason: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Now, solve this instance: x = 8, equation weights = [3, 8, 0, 4]
Student: | 2052 | 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
--------
Question: x = 8, equation weights = [5, 9, 2]
Answer: 394
Question: x = 8, equation weights = [8, 1, 9, 3, 0]
Answer: 33880
Question: x = 10, equation weights = [9, 6, 3]
Answer: | 963
| 7 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
--------
Question: x = 6, equation weights = [7, 5, 3]
Answer: 285
Question: x = 10, equation weights = [2, 0, 1]
Answer: 201
Question: x = 3, equation weights = [1, 4]
Answer: | 7
| 7 | NIv2 | task090_equation_learner_algebra | fs_opt |
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
x = 3, equation weights = [4, 2]
Solution: 14
Why? Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
New input: x = 8, equation weights = [8, 0, 2, 9]
Solution: | 4121 | 0 | NIv2 | task090_equation_learner_algebra | fs_opt |
Detailed Instructions: A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
See one example below:
Problem: x = 3, equation weights = [4, 2]
Solution: 14
Explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Problem: x = 9, equation weights = [7, 5, 6, 0, 8]
Solution: | 50066 | 4 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Ex Input:
x = 3, equation weights = [7, 0]
Ex Output:
21
Ex Input:
x = 5, equation weights = [9, 4]
Ex Output:
49
Ex Input:
x = 9, equation weights = [3, 1, 4]
Ex Output:
| 256
| 1 | NIv2 | task090_equation_learner_algebra | fs_opt |
instruction:
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
question:
x = 4, equation weights = [5, 8, 1]
answer:
113
question:
x = 0, equation weights = [2, 1, 7]
answer:
7
question:
x = 2, equation weights = [5, 6, 1, 9]
answer:
| 75
| 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
One example: x = 3, equation weights = [4, 2]
Solution is here: 14
Explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Now, solve this: x = 5, equation weights = [8, 5]
Solution: | 45 | 6 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
One example is below.
Q: x = 3, equation weights = [4, 2]
A: 14
Rationale: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Q: x = 9, equation weights = [3, 1, 4]
A: | 256 | 9 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Input: Consider Input: x = 3, equation weights = [4, 5, 3, 6]
Output: 168
Input: Consider Input: x = 8, equation weights = [4, 0]
Output: 32
Input: Consider Input: x = 2, equation weights = [9, 7, 6]
| Output: 56
| 2 | NIv2 | task090_equation_learner_algebra | fs_opt |
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.
Example: x = 3, equation weights = [4, 2]
Example solution: 14
Example explanation: Here, the weights represent the polynomial: 4x + 2, so we should multiply 4 by 3, and add it to 2 which results in (4*3 + 2 =) 14.
Problem: x = 2, equation weights = [6, 7, 4, 2, 9]
| Solution: 181 | 5 | NIv2 | task090_equation_learner_algebra | fs_opt |
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