Question:
Simplify this expression: (11 - 40*y**2)*(-30*y**3 + 37*y)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 1200*y**5 - 1810*y**3 + 407*y

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (11 - 40*y**2)*(-30*y**3 + 37*y)
Expanding the part (11 - 40*y**2) using the distributive property, and we got: (-40*y**2)*(-30*y**3 + 37*y) + 11*(-30*y**3 + 37*y)
<replace-#Step 1>#Step 2:
Current expression: (-40*y**2)*(-30*y**3 + 37*y) + 11*(-30*y**3 + 37*y)</replace>
Simplifying the partial expression: 11*(-30*y**3 + 37*y)
Expanding the part (-30*y**3 + 37*y) using the distributive property, and we got: (37*y)*11 - 30*y**3*11
Replacing 11*(-30*y**3 + 37*y) with (37*y)*11 - 30*y**3*11 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (37*y)*11 + (-40*y**2)*(-30*y**3 + 37*y) - 30*y**3*11</replace>
Simplifying the partial expression: (-40*y**2)*(-30*y**3 + 37*y)
Expanding the part (-30*y**3 + 37*y) using the distributive property, and we got: (37*y)*(-40*y**2) + (-40*y**2)*(-30*y**3)
Replacing (-40*y**2)*(-30*y**3 + 37*y) with (37*y)*(-40*y**2) + (-40*y**2)*(-30*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (37*y)*(-40*y**2) + (37*y)*11 + (-40*y**2)*(-30*y**3) - 30*y**3*11</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-30*y**3)*11 = -330*y**3
  (-30*y**3)*(-40*y**2) = 1200*y**5
  (37*y)*11 = 407*y
  (37*y)*(-40*y**2) = -1480*y**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1200*y**5 - 1480*y**3 - 330*y**3 + 407*y</replace>
Combining like terms, got 1200*y**5 - 1810*y**3 + 407*y
<replace-#Step 5>#Step 6:
Current expression: 1200*y**5 - 1810*y**3 + 407*y</replace>
No more calculations needed.
<answer>1200*y**5 - 1810*y**3 + 407*y</answer>


Question:
Calculate the following: -20*z**2*(-32*z**3 - 14*z**2)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 640*z**5 + 280*z**4

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: -20*z**2*(-32*z**3 - 14*z**2)
Expanding the part (-32*z**3 - 14*z**2) using the distributive property, and we got: (-20*z**2)*(-14*z**2) + (-20*z**2)*(-32*z**3)
<replace-#Step 1>#Step 2:
Current expression: (-20*z**2)*(-14*z**2) + (-20*z**2)*(-32*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-32*z**3)*(-20*z**2) = 640*z**5
  (-14*z**2)*(-20*z**2) = 280*z**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 640*z**5 + 280*z**4</replace>
No more calculations needed.
<answer>640*z**5 + 280*z**4</answer>


Question:
Simplify this expression: (12*z**2 + 36)*(30*z**3 + 17*z - 39)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 360*z**5 + 1284*z**3 - 468*z**2 + 612*z - 1404

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (12*z**2 + 36)*(30*z**3 + 17*z - 39)
Expanding the part (12*z**2 + 36) using the distributive property, and we got: (12*z**2)*(30*z**3 + 17*z - 39) + 36*(30*z**3 + 17*z - 39)
<replace-#Step 1>#Step 2:
Current expression: (12*z**2)*(30*z**3 + 17*z - 39) + 36*(30*z**3 + 17*z - 39)</replace>
Simplifying the partial expression: 36*(30*z**3 + 17*z - 39)
Expanding the part (30*z**3 + 17*z - 39) using the distributive property, and we got: (17*z)*36 + (30*z**3)*36 - 39*36
Replacing 36*(30*z**3 + 17*z - 39) with (17*z)*36 + (30*z**3)*36 - 39*36 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (17*z)*36 + (12*z**2)*(30*z**3 + 17*z - 39) + (30*z**3)*36 - 1404</replace>
Simplifying the partial expression: (12*z**2)*(30*z**3 + 17*z - 39)
Expanding the part (30*z**3 + 17*z - 39) using the distributive property, and we got: -468*z**2 + (17*z)*(12*z**2) + (12*z**2)*(30*z**3)
Replacing (12*z**2)*(30*z**3 + 17*z - 39) with -468*z**2 + (17*z)*(12*z**2) + (12*z**2)*(30*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -39*12*z**2 + (17*z)*(12*z**2) + (17*z)*36 + (12*z**2)*(30*z**3) + (30*z**3)*36 - 1404</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (17*z)*36 = 612*z
  (17*z)*(12*z**2) = 204*z**3
  (30*z**3)*36 = 1080*z**3
  (30*z**3)*(12*z**2) = 360*z**5
  -39*12*z**2 = -468*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 360*z**5 + 204*z**3 + 1080*z**3 - 468*z**2 + 612*z - 1404</replace>
Combining like terms, got 360*z**5 + 1284*z**3 - 468*z**2 + 612*z - 1404
<replace-#Step 5>#Step 6:
Current expression: 360*z**5 + 1284*z**3 - 468*z**2 + 612*z - 1404</replace>
No more calculations needed.
<answer>360*z**5 + 1284*z**3 - 468*z**2 + 612*z - 1404</answer>


Question:
Simplify this expression: (36*z**2 + 28)*(-69*z**3 - 35)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -2484*z**5 - 1932*z**3 - 1260*z**2 - 980

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (36*z**2 + 28)*(-69*z**3 - 35)
Expanding the part (-69*z**3 - 35) using the distributive property, and we got: (-69*z**3)*(36*z**2 + 28) - 35*(36*z**2 + 28)
<replace-#Step 1>#Step 2:
Current expression: (-69*z**3)*(36*z**2 + 28) - 35*(36*z**2 + 28)</replace>
Simplifying the partial expression: -35*(36*z**2 + 28)
Expanding the part (36*z**2 + 28) using the distributive property, and we got: (36*z**2)*(-35) + 28*(-35)
Replacing -35*(36*z**2 + 28) with (36*z**2)*(-35) + 28*(-35) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (36*z**2)*(-35) + (-69*z**3)*(36*z**2 + 28) - 980</replace>
Simplifying the partial expression: (-69*z**3)*(36*z**2 + 28)
Expanding the part (36*z**2 + 28) using the distributive property, and we got: 28*(-69*z**3) + (36*z**2)*(-69*z**3)
Replacing (-69*z**3)*(36*z**2 + 28) with 28*(-69*z**3) + (36*z**2)*(-69*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 28*(-69)*z**3 + (36*z**2)*(-69*z**3) + (36*z**2)*(-35) - 980</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (36*z**2)*-35 = -1260*z**2
  (36*z**2)*(-69*z**3) = -2484*z**5
  28*-69*z**3 = -1932*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -2484*z**5 - 1932*z**3 - 1260*z**2 - 980</replace>
No more calculations needed.
<answer>-2484*z**5 - 1932*z**3 - 1260*z**2 - 980</answer>


Question:
Simplify this expression: 4*x**3*(-20*x**3 - 44*x**2)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -80*x**6 - 176*x**5

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: 4*x**3*(-20*x**3 - 44*x**2)
Expanding the part (-20*x**3 - 44*x**2) using the distributive property, and we got: (-44*x**2)*(4*x**3) + (-20*x**3)*(4*x**3)
<replace-#Step 1>#Step 2:
Current expression: (-44*x**2)*(4*x**3) + (-20*x**3)*(4*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-44*x**2)*(4*x**3) = -176*x**5
  (-20*x**3)*(4*x**3) = -80*x**6
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -80*x**6 - 176*x**5</replace>
No more calculations needed.
<answer>-80*x**6 - 176*x**5</answer>


Question:
Simplify this expression: 50*x**2*(31*x**3 + x - 13)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 1550*x**5 + 50*x**3 - 650*x**2

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: 50*x**2*(31*x**3 + x - 13)
Expanding the part (31*x**3 + x - 13) using the distributive property, and we got: -650*x**2 + x*(50*x**2) + (50*x**2)*(31*x**3)
<replace-#Step 1>#Step 2:
Current expression: -650*x**2 + x*(50*x**2) + (50*x**2)*(31*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -13*(50*x**2) = -650*x**2
  x*(50*x**2) = 50*x**3
  (31*x**3)*(50*x**2) = 1550*x**5
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 1550*x**5 + 50*x**3 - 650*x**2</replace>
No more calculations needed.
<answer>1550*x**5 + 50*x**3 - 650*x**2</answer>


Question:
Calculate the following: (33*y - 5)*(-13*y**3 - 37)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -429*y**4 + 65*y**3 - 1221*y + 185

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (33*y - 5)*(-13*y**3 - 37)
Expanding the part (-13*y**3 - 37) using the distributive property, and we got: (-13*y**3)*(33*y - 5) - 37*(33*y - 5)
<replace-#Step 1>#Step 2:
Current expression: (-13*y**3)*(33*y - 5) - 37*(33*y - 5)</replace>
Simplifying the partial expression: -37*(33*y - 5)
Expanding the part (33*y - 5) using the distributive property, and we got: (33*y)*(-37) - 5*(-37)
Replacing -37*(33*y - 5) with (33*y)*(-37) - 5*(-37) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (33*y)*(-37) + (-13*y**3)*(33*y - 5) + 185</replace>
Simplifying the partial expression: (-13*y**3)*(33*y - 5)
Expanding the part (33*y - 5) using the distributive property, and we got: -(-1)*65*y**3 + (33*y)*(-13*y**3)
Replacing (-13*y**3)*(33*y - 5) with -(-1)*65*y**3 + (33*y)*(-13*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -5*(-13)*y**3 + (33*y)*(-13*y**3) + (33*y)*(-37) + 185</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (33*y)*-37 = -1221*y
  (33*y)*(-13*y**3) = -429*y**4
  -5*-13*y**3 = 65*y**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -429*y**4 + 65*y**3 - 1221*y + 185</replace>
No more calculations needed.
<answer>-429*y**4 + 65*y**3 - 1221*y + 185</answer>


Question:
Simplify this expression: (-6*z - 36)*(-19*z**3 + 17*z)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 114*z**4 + 684*z**3 - 102*z**2 - 612*z

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-6*z - 36)*(-19*z**3 + 17*z)
Expanding the part (-6*z - 36) using the distributive property, and we got: (-6*z)*(-19*z**3 + 17*z) - 36*(-19*z**3 + 17*z)
<replace-#Step 1>#Step 2:
Current expression: (-6*z)*(-19*z**3 + 17*z) - 36*(-19*z**3 + 17*z)</replace>
Simplifying the partial expression: -36*(-19*z**3 + 17*z)
Expanding the part (-19*z**3 + 17*z) using the distributive property, and we got: (17*z)*(-36) - 19*z**3*(-36)
Replacing -36*(-19*z**3 + 17*z) with (17*z)*(-36) - 19*z**3*(-36) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-6*z)*(-19*z**3 + 17*z) + (17*z)*(-36) - 19*z**3*(-36)</replace>
Simplifying the partial expression: (-6*z)*(-19*z**3 + 17*z)
Expanding the part (-19*z**3 + 17*z) using the distributive property, and we got: (-6*z)*(17*z) + (-6*z)*(-19*z**3)
Replacing (-6*z)*(-19*z**3 + 17*z) with (-6*z)*(17*z) + (-6*z)*(-19*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-6*z)*(17*z) + (-6*z)*(-19*z**3) + (17*z)*(-36) - 19*z**3*(-36)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-19*z**3)*-36 = 684*z**3
  (-19*z**3)*(-6*z) = 114*z**4
  (17*z)*-36 = -612*z
  (17*z)*(-6*z) = -102*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 114*z**4 + 684*z**3 - 102*z**2 - 612*z</replace>
No more calculations needed.
<answer>114*z**4 + 684*z**3 - 102*z**2 - 612*z</answer>


Question:
Simplify this expression: (29 - y)*(19*y**3 + 58)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -19*y**4 + 551*y**3 - 58*y + 1682

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (29 - y)*(19*y**3 + 58)
Expanding the part (29 - y) using the distributive property, and we got: (-y)*(19*y**3 + 58) + 29*(19*y**3 + 58)
<replace-#Step 1>#Step 2:
Current expression: (-y)*(19*y**3 + 58) + 29*(19*y**3 + 58)</replace>
Simplifying the partial expression: 29*(19*y**3 + 58)
Expanding the part (19*y**3 + 58) using the distributive property, and we got: (19*y**3)*29 + 58*29
Replacing 29*(19*y**3 + 58) with (19*y**3)*29 + 58*29 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-y)*(19*y**3 + 58) + (19*y**3)*29 + 1682</replace>
Simplifying the partial expression: (-y)*(19*y**3 + 58)
Expanding the part (19*y**3 + 58) using the distributive property, and we got: (-y)*(19*y**3) + 58*(-y)
Replacing (-y)*(19*y**3 + 58) with (-y)*(19*y**3) + 58*(-y) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-y)*(19*y**3) + 58*(-1)*y + (19*y**3)*29 + 1682</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (19*y**3)*29 = 551*y**3
  (19*y**3)*(-y) = -19*y**4
  58*-1*y = -58*y
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -19*y**4 + 551*y**3 - 58*y + 1682</replace>
No more calculations needed.
<answer>-19*y**4 + 551*y**3 - 58*y + 1682</answer>


Question:
Simplify this expression: (14*y**3 - 2*y)*(36*y**3 - 36)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 504*y**6 - 72*y**4 - 504*y**3 + 72*y

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (14*y**3 - 2*y)*(36*y**3 - 36)
Expanding the part (36*y**3 - 36) using the distributive property, and we got: (36*y**3)*(14*y**3 - 2*y) - 36*(14*y**3 - 2*y)
<replace-#Step 1>#Step 2:
Current expression: (36*y**3)*(14*y**3 - 2*y) - 36*(14*y**3 - 2*y)</replace>
Simplifying the partial expression: -36*(14*y**3 - 2*y)
Expanding the part (14*y**3 - 2*y) using the distributive property, and we got: -2*y*(-36) + (14*y**3)*(-36)
Replacing -36*(14*y**3 - 2*y) with -2*y*(-36) + (14*y**3)*(-36) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -2*y*(-36) + (14*y**3)*(-36) + (36*y**3)*(14*y**3 - 2*y)</replace>
Simplifying the partial expression: (36*y**3)*(14*y**3 - 2*y)
Expanding the part (14*y**3 - 2*y) using the distributive property, and we got: (-2*y)*(36*y**3) + (14*y**3)*(36*y**3)
Replacing (36*y**3)*(14*y**3 - 2*y) with (-2*y)*(36*y**3) + (14*y**3)*(36*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-2*y)*(36*y**3) - 2*y*(-36) + (14*y**3)*(36*y**3) + (14*y**3)*(-36)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-2*y)*-36 = 72*y
  (-2*y)*(36*y**3) = -72*y**4
  (14*y**3)*-36 = -504*y**3
  (14*y**3)*(36*y**3) = 504*y**6
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 504*y**6 - 72*y**4 - 504*y**3 + 72*y</replace>
No more calculations needed.
<answer>504*y**6 - 72*y**4 - 504*y**3 + 72*y</answer>


Question:
Simplify this expression: (25*y**3 - 52*y**2)*(62*y**3 + 46*y**2 + 38*y)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 1550*y**6 - 2074*y**5 - 1442*y**4 - 1976*y**3


Question:
Calculate the following: (-48*z**2 - 3*z)*(-22*z**2 - 6*z)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 1056*z**4 + 354*z**3 + 18*z**2

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-48*z**2 - 3*z)*(-22*z**2 - 6*z)
Expanding the part (-48*z**2 - 3*z) using the distributive property, and we got: (-3*z)*(-22*z**2 - 6*z) + (-48*z**2)*(-22*z**2 - 6*z)
<replace-#Step 1>#Step 2:
Current expression: (-3*z)*(-22*z**2 - 6*z) + (-48*z**2)*(-22*z**2 - 6*z)</replace>
Simplifying the partial expression: (-48*z**2)*(-22*z**2 - 6*z)
Expanding the part (-22*z**2 - 6*z) using the distributive property, and we got: (-6*z)*(-48*z**2) + (-48*z**2)*(-22*z**2)
Replacing (-48*z**2)*(-22*z**2 - 6*z) with (-6*z)*(-48*z**2) + (-48*z**2)*(-22*z**2) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-6*z)*(-48*z**2) + (-3*z)*(-22*z**2 - 6*z) + (-48*z**2)*(-22*z**2)</replace>
Simplifying the partial expression: (-3*z)*(-22*z**2 - 6*z)
Expanding the part (-22*z**2 - 6*z) using the distributive property, and we got: (-6*z)*(-3*z) + (-3*z)*(-22*z**2)
Replacing (-3*z)*(-22*z**2 - 6*z) with (-6*z)*(-3*z) + (-3*z)*(-22*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-6*z)*(-3*z) + (-6*z)*(-48*z**2) + (-3*z)*(-22*z**2) + (-48*z**2)*(-22*z**2)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-22*z**2)*(-48*z**2) = 1056*z**4
  (-22*z**2)*(-3*z) = 66*z**3
  (-6*z)*(-48*z**2) = 288*z**3
  (-6*z)*(-3*z) = 18*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1056*z**4 + 66*z**3 + 288*z**3 + 18*z**2</replace>
Combining like terms, got 1056*z**4 + 354*z**3 + 18*z**2
<replace-#Step 5>#Step 6:
Current expression: 1056*z**4 + 354*z**3 + 18*z**2</replace>
No more calculations needed.
<answer>1056*z**4 + 354*z**3 + 18*z**2</answer>


Question:
Calculate the following: 583*y**2 + 1219
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 583*y**2 + 1219

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: 583*y**2 + 1219
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:

Replacing them in the overall expression.
<replace-#Step 1>#Step 2:
Current expression: 583*y**2 + 1219</replace>
No more calculations needed.
<answer>583*y**2 + 1219</answer>


Question:
Calculate the following: (6*z**3 + 19*z)*(-14*z**3 - 27*z**2 + 29*z)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -84*z**6 - 162*z**5 - 92*z**4 - 513*z**3 + 551*z**2


Question:
Calculate the following: (49 - 28*x**2)*(21*x**3 - 18*x)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -588*x**5 + 1533*x**3 - 882*x

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (49 - 28*x**2)*(21*x**3 - 18*x)
Expanding the part (49 - 28*x**2) using the distributive property, and we got: (-28*x**2)*(21*x**3 - 18*x) + 49*(21*x**3 - 18*x)
<replace-#Step 1>#Step 2:
Current expression: (-28*x**2)*(21*x**3 - 18*x) + 49*(21*x**3 - 18*x)</replace>
Simplifying the partial expression: 49*(21*x**3 - 18*x)
Expanding the part (21*x**3 - 18*x) using the distributive property, and we got: -18*x*49 + (21*x**3)*49
Replacing 49*(21*x**3 - 18*x) with -18*x*49 + (21*x**3)*49 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -18*x*49 + (-28*x**2)*(21*x**3 - 18*x) + (21*x**3)*49</replace>
Simplifying the partial expression: (-28*x**2)*(21*x**3 - 18*x)
Expanding the part (21*x**3 - 18*x) using the distributive property, and we got: (-18*x)*(-28*x**2) + (-28*x**2)*(21*x**3)
Replacing (-28*x**2)*(21*x**3 - 18*x) with (-18*x)*(-28*x**2) + (-28*x**2)*(21*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-18*x)*(-28*x**2) - 18*x*49 + (-28*x**2)*(21*x**3) + (21*x**3)*49</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-18*x)*49 = -882*x
  (-18*x)*(-28*x**2) = 504*x**3
  (21*x**3)*49 = 1029*x**3
  (21*x**3)*(-28*x**2) = -588*x**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -588*x**5 + 504*x**3 + 1029*x**3 - 882*x</replace>
Combining like terms, got -588*x**5 + 1533*x**3 - 882*x
<replace-#Step 5>#Step 6:
Current expression: -588*x**5 + 1533*x**3 - 882*x</replace>
No more calculations needed.
<answer>-588*x**5 + 1533*x**3 - 882*x</answer>


Question:
Calculate the following: -61*z**2*(-47*z**3 - 34*z**2 + 32)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 2867*z**5 + 2074*z**4 - 1952*z**2

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: -61*z**2*(-47*z**3 - 34*z**2 + 32)
Expanding the part (-47*z**3 - 34*z**2 + 32) using the distributive property, and we got: 32*(-61*z**2) + (-61*z**2)*(-34*z**2) + (-61*z**2)*(-47*z**3)
<replace-#Step 1>#Step 2:
Current expression: 32*(-61*z**2) + (-61*z**2)*(-34*z**2) + (-61*z**2)*(-47*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  32*(-61*z**2) = -1952*z**2
  (-47*z**3)*(-61*z**2) = 2867*z**5
  (-34*z**2)*(-61*z**2) = 2074*z**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 2867*z**5 + 2074*z**4 - 1952*z**2</replace>
No more calculations needed.
<answer>2867*z**5 + 2074*z**4 - 1952*z**2</answer>


Question:
Simplify this expression: y**3*(-10*y**3 + 34*y**2 + 49)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -10*y**6 + 34*y**5 + 49*y**3

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: y**3*(-10*y**3 + 34*y**2 + 49)
Expanding the part (-10*y**3 + 34*y**2 + 49) using the distributive property, and we got: (34*y**2)*y**3 + (-10*y**3)*y**3 + 49*y**3
<replace-#Step 1>#Step 2:
Current expression: (34*y**2)*y**3 + (-10*y**3)*y**3 + 49*y**3</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-10*y**3)*y**3 = -10*y**6
  (34*y**2)*y**3 = 34*y**5
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -10*y**6 + 34*y**5 + 49*y**3</replace>
No more calculations needed.
<answer>-10*y**6 + 34*y**5 + 49*y**3</answer>


Question:
Simplify this expression: (-53*y**3 + 34*y**2 + 41*y)*(48*y**3 - 41*y**2 + 30*y + 36)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -2544*y**6 + 3805*y**5 - 1016*y**4 - 2569*y**3 + 2454*y**2 + 1476*y


Question:
Calculate the following: (-15*z**2 - 14)*(11*z**3 + 3*z**2 - 46)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -165*z**5 - 45*z**4 - 154*z**3 + 648*z**2 + 644

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-15*z**2 - 14)*(11*z**3 + 3*z**2 - 46)
Expanding the part (-15*z**2 - 14) using the distributive property, and we got: (-15*z**2)*(11*z**3 + 3*z**2 - 46) - 14*(11*z**3 + 3*z**2 - 46)
<replace-#Step 1>#Step 2:
Current expression: (-15*z**2)*(11*z**3 + 3*z**2 - 46) - 14*(11*z**3 + 3*z**2 - 46)</replace>
Simplifying the partial expression: -14*(11*z**3 + 3*z**2 - 46)
Expanding the part (11*z**3 + 3*z**2 - 46) using the distributive property, and we got: (3*z**2)*(-14) + (11*z**3)*(-14) - 46*(-14)
Replacing -14*(11*z**3 + 3*z**2 - 46) with (3*z**2)*(-14) + (11*z**3)*(-14) - 46*(-14) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-15*z**2)*(11*z**3 + 3*z**2 - 46) + (3*z**2)*(-14) + (11*z**3)*(-14) + 644</replace>
Simplifying the partial expression: (-15*z**2)*(11*z**3 + 3*z**2 - 46)
Expanding the part (11*z**3 + 3*z**2 - 46) using the distributive property, and we got: -(-1)*690*z**2 + (-15*z**2)*(3*z**2) + (-15*z**2)*(11*z**3)
Replacing (-15*z**2)*(11*z**3 + 3*z**2 - 46) with -(-1)*690*z**2 + (-15*z**2)*(3*z**2) + (-15*z**2)*(11*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -46*(-15)*z**2 + (-15*z**2)*(3*z**2) + (-15*z**2)*(11*z**3) + (3*z**2)*(-14) + (11*z**3)*(-14) + 644</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (3*z**2)*-14 = -42*z**2
  (3*z**2)*(-15*z**2) = -45*z**4
  (11*z**3)*-14 = -154*z**3
  (11*z**3)*(-15*z**2) = -165*z**5
  -46*-15*z**2 = 690*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -165*z**5 - 45*z**4 - 154*z**3 - 42*z**2 + 690*z**2 + 644</replace>
Combining like terms, got -165*z**5 - 45*z**4 - 154*z**3 + 648*z**2 + 644
<replace-#Step 5>#Step 6:
Current expression: -165*z**5 - 45*z**4 - 154*z**3 + 648*z**2 + 644</replace>
No more calculations needed.
<answer>-165*z**5 - 45*z**4 - 154*z**3 + 648*z**2 + 644</answer>


Question:
Calculate the following: (23*y**3 + 36)*(39*y**3 - 24*y**2 - 15*y)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 897*y**6 - 552*y**5 - 345*y**4 + 1404*y**3 - 864*y**2 - 540*y

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (23*y**3 + 36)*(39*y**3 - 24*y**2 - 15*y)
Expanding the part (23*y**3 + 36) using the distributive property, and we got: (23*y**3)*(39*y**3 - 24*y**2 - 15*y) + 36*(39*y**3 - 24*y**2 - 15*y)
<replace-#Step 1>#Step 2:
Current expression: (23*y**3)*(39*y**3 - 24*y**2 - 15*y) + 36*(39*y**3 - 24*y**2 - 15*y)</replace>
Simplifying the partial expression: 36*(39*y**3 - 24*y**2 - 15*y)
Expanding the part (39*y**3 - 24*y**2 - 15*y) using the distributive property, and we got: -15*y*36 - 24*y**2*36 + (39*y**3)*36
Replacing 36*(39*y**3 - 24*y**2 - 15*y) with -15*y*36 - 24*y**2*36 + (39*y**3)*36 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -15*y*36 - 24*y**2*36 + (23*y**3)*(39*y**3 - 24*y**2 - 15*y) + (39*y**3)*36</replace>
Simplifying the partial expression: (23*y**3)*(39*y**3 - 24*y**2 - 15*y)
Expanding the part (39*y**3 - 24*y**2 - 15*y) using the distributive property, and we got: (-15*y)*(23*y**3) + (-24*y**2)*(23*y**3) + (23*y**3)*(39*y**3)
Replacing (23*y**3)*(39*y**3 - 24*y**2 - 15*y) with (-15*y)*(23*y**3) + (-24*y**2)*(23*y**3) + (23*y**3)*(39*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-15*y)*(23*y**3) - 15*y*36 + (-24*y**2)*(23*y**3) - 24*y**2*36 + (23*y**3)*(39*y**3) + (39*y**3)*36</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-24*y**2)*36 = -864*y**2
  (-24*y**2)*(23*y**3) = -552*y**5
  (-15*y)*36 = -540*y
  (-15*y)*(23*y**3) = -345*y**4
  (39*y**3)*36 = 1404*y**3
  (39*y**3)*(23*y**3) = 897*y**6
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 897*y**6 - 552*y**5 - 345*y**4 + 1404*y**3 - 864*y**2 - 540*y</replace>
No more calculations needed.
<answer>897*y**6 - 552*y**5 - 345*y**4 + 1404*y**3 - 864*y**2 - 540*y</answer>


Question:
Simplify this expression: (-41*x**3 + 6*x**2)*(40*x**3 - 22*x**2)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1640*x**6 + 1142*x**5 - 132*x**4

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-41*x**3 + 6*x**2)*(40*x**3 - 22*x**2)
Expanding the part (-41*x**3 + 6*x**2) using the distributive property, and we got: (6*x**2)*(40*x**3 - 22*x**2) + (-41*x**3)*(40*x**3 - 22*x**2)
<replace-#Step 1>#Step 2:
Current expression: (6*x**2)*(40*x**3 - 22*x**2) + (-41*x**3)*(40*x**3 - 22*x**2)</replace>
Simplifying the partial expression: (-41*x**3)*(40*x**3 - 22*x**2)
Expanding the part (40*x**3 - 22*x**2) using the distributive property, and we got: (-22*x**2)*(-41*x**3) + (-41*x**3)*(40*x**3)
Replacing (-41*x**3)*(40*x**3 - 22*x**2) with (-22*x**2)*(-41*x**3) + (-41*x**3)*(40*x**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-22*x**2)*(-41*x**3) + (6*x**2)*(40*x**3 - 22*x**2) + (-41*x**3)*(40*x**3)</replace>
Simplifying the partial expression: (6*x**2)*(40*x**3 - 22*x**2)
Expanding the part (40*x**3 - 22*x**2) using the distributive property, and we got: (-22*x**2)*(6*x**2) + (6*x**2)*(40*x**3)
Replacing (6*x**2)*(40*x**3 - 22*x**2) with (-22*x**2)*(6*x**2) + (6*x**2)*(40*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-22*x**2)*(6*x**2) + (-22*x**2)*(-41*x**3) + (6*x**2)*(40*x**3) + (-41*x**3)*(40*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-22*x**2)*(-41*x**3) = 902*x**5
  (-22*x**2)*(6*x**2) = -132*x**4
  (40*x**3)*(-41*x**3) = -1640*x**6
  (40*x**3)*(6*x**2) = 240*x**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1640*x**6 + 240*x**5 + 902*x**5 - 132*x**4</replace>
Combining like terms, got -1640*x**6 + 1142*x**5 - 132*x**4
<replace-#Step 5>#Step 6:
Current expression: -1640*x**6 + 1142*x**5 - 132*x**4</replace>
No more calculations needed.
<answer>-1640*x**6 + 1142*x**5 - 132*x**4</answer>


Question:
Simplify this expression: -2*x**2*(46*x**3 + 44*x - 3)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -92*x**5 - 88*x**3 + 6*x**2

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: -2*x**2*(46*x**3 + 44*x - 3)
Expanding the part (46*x**3 + 44*x - 3) using the distributive property, and we got: -(-1)*6*x**2 + (44*x)*(-2*x**2) + (-2*x**2)*(46*x**3)
<replace-#Step 1>#Step 2:
Current expression: -(-1)*6*x**2 + (44*x)*(-2*x**2) + (-2*x**2)*(46*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -3*(-2*x**2) = 6*x**2
  (44*x)*(-2*x**2) = -88*x**3
  (46*x**3)*(-2*x**2) = -92*x**5
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -92*x**5 - 88*x**3 + 6*x**2</replace>
No more calculations needed.
<answer>-92*x**5 - 88*x**3 + 6*x**2</answer>


Question:
Calculate the following: (-41*y**2 + 11*y)*(29*y**3 + 56*y**2 + 17*y)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1189*y**5 - 1977*y**4 - 81*y**3 + 187*y**2


Question:
Simplify this expression: (-22*z**3 - 25)*(27*z**3 - 36*z**2 + 35*z)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -594*z**6 + 792*z**5 - 770*z**4 - 675*z**3 + 900*z**2 - 875*z


Question:
Calculate the following: (-50*y - 10)*(-37*y**2 - 10)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 1850*y**3 + 370*y**2 + 500*y + 100

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-50*y - 10)*(-37*y**2 - 10)
Expanding the part (-50*y - 10) using the distributive property, and we got: (-50*y)*(-37*y**2 - 10) - 10*(-37*y**2 - 10)
<replace-#Step 1>#Step 2:
Current expression: (-50*y)*(-37*y**2 - 10) - 10*(-37*y**2 - 10)</replace>
Simplifying the partial expression: -10*(-37*y**2 - 10)
Expanding the part (-37*y**2 - 10) using the distributive property, and we got: -37*y**2*(-10) - 10*(-10)
Replacing -10*(-37*y**2 - 10) with -37*y**2*(-10) - 10*(-10) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-50*y)*(-37*y**2 - 10) - 37*y**2*(-10) + 100</replace>
Simplifying the partial expression: (-50*y)*(-37*y**2 - 10)
Expanding the part (-37*y**2 - 10) using the distributive property, and we got: (-50*y)*(-37*y**2) - (-1)*500*y
Replacing (-50*y)*(-37*y**2 - 10) with (-50*y)*(-37*y**2) - (-1)*500*y in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-50*y)*(-37*y**2) - 10*(-50)*y - 37*y**2*(-10) + 100</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-37*y**2)*-10 = 370*y**2
  (-37*y**2)*(-50*y) = 1850*y**3
  -10*-50*y = 500*y
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1850*y**3 + 370*y**2 + 500*y + 100</replace>
No more calculations needed.
<answer>1850*y**3 + 370*y**2 + 500*y + 100</answer>


Question:
Calculate the following: (5*y**3 - 35)*(26*y**3 + 13*y**2 - 41)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 130*y**6 + 65*y**5 - 1115*y**3 - 455*y**2 + 1435

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (5*y**3 - 35)*(26*y**3 + 13*y**2 - 41)
Expanding the part (5*y**3 - 35) using the distributive property, and we got: (5*y**3)*(26*y**3 + 13*y**2 - 41) - 35*(26*y**3 + 13*y**2 - 41)
<replace-#Step 1>#Step 2:
Current expression: (5*y**3)*(26*y**3 + 13*y**2 - 41) - 35*(26*y**3 + 13*y**2 - 41)</replace>
Simplifying the partial expression: -35*(26*y**3 + 13*y**2 - 41)
Expanding the part (26*y**3 + 13*y**2 - 41) using the distributive property, and we got: (13*y**2)*(-35) + (26*y**3)*(-35) - 41*(-35)
Replacing -35*(26*y**3 + 13*y**2 - 41) with (13*y**2)*(-35) + (26*y**3)*(-35) - 41*(-35) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (13*y**2)*(-35) + (5*y**3)*(26*y**3 + 13*y**2 - 41) + (26*y**3)*(-35) + 1435</replace>
Simplifying the partial expression: (5*y**3)*(26*y**3 + 13*y**2 - 41)
Expanding the part (26*y**3 + 13*y**2 - 41) using the distributive property, and we got: -205*y**3 + (13*y**2)*(5*y**3) + (5*y**3)*(26*y**3)
Replacing (5*y**3)*(26*y**3 + 13*y**2 - 41) with -205*y**3 + (13*y**2)*(5*y**3) + (5*y**3)*(26*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -41*5*y**3 + (13*y**2)*(5*y**3) + (13*y**2)*(-35) + (5*y**3)*(26*y**3) + (26*y**3)*(-35) + 1435</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (13*y**2)*-35 = -455*y**2
  (13*y**2)*(5*y**3) = 65*y**5
  (26*y**3)*-35 = -910*y**3
  (26*y**3)*(5*y**3) = 130*y**6
  -41*5*y**3 = -205*y**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 130*y**6 + 65*y**5 - 910*y**3 - 205*y**3 - 455*y**2 + 1435</replace>
Combining like terms, got 130*y**6 + 65*y**5 - 1115*y**3 - 455*y**2 + 1435
<replace-#Step 5>#Step 6:
Current expression: 130*y**6 + 65*y**5 - 1115*y**3 - 455*y**2 + 1435</replace>
No more calculations needed.
<answer>130*y**6 + 65*y**5 - 1115*y**3 - 455*y**2 + 1435</answer>


Question:
Calculate the following: (12 - 50*z**2)*(11*z**2 + 49*z - 31)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -550*z**4 - 2450*z**3 + 1682*z**2 + 588*z - 372

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (12 - 50*z**2)*(11*z**2 + 49*z - 31)
Expanding the part (12 - 50*z**2) using the distributive property, and we got: (-50*z**2)*(11*z**2 + 49*z - 31) + 12*(11*z**2 + 49*z - 31)
<replace-#Step 1>#Step 2:
Current expression: (-50*z**2)*(11*z**2 + 49*z - 31) + 12*(11*z**2 + 49*z - 31)</replace>
Simplifying the partial expression: 12*(11*z**2 + 49*z - 31)
Expanding the part (11*z**2 + 49*z - 31) using the distributive property, and we got: (49*z)*12 + (11*z**2)*12 - 31*12
Replacing 12*(11*z**2 + 49*z - 31) with (49*z)*12 + (11*z**2)*12 - 31*12 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (49*z)*12 + (-50*z**2)*(11*z**2 + 49*z - 31) + (11*z**2)*12 - 372</replace>
Simplifying the partial expression: (-50*z**2)*(11*z**2 + 49*z - 31)
Expanding the part (11*z**2 + 49*z - 31) using the distributive property, and we got: -(-1)*1550*z**2 + (49*z)*(-50*z**2) + (-50*z**2)*(11*z**2)
Replacing (-50*z**2)*(11*z**2 + 49*z - 31) with -(-1)*1550*z**2 + (49*z)*(-50*z**2) + (-50*z**2)*(11*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -31*(-50)*z**2 + (49*z)*(-50*z**2) + (49*z)*12 + (-50*z**2)*(11*z**2) + (11*z**2)*12 - 372</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (11*z**2)*12 = 132*z**2
  (11*z**2)*(-50*z**2) = -550*z**4
  (49*z)*12 = 588*z
  (49*z)*(-50*z**2) = -2450*z**3
  -31*-50*z**2 = 1550*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -550*z**4 - 2450*z**3 + 132*z**2 + 1550*z**2 + 588*z - 372</replace>
Combining like terms, got -550*z**4 - 2450*z**3 + 1682*z**2 + 588*z - 372
<replace-#Step 5>#Step 6:
Current expression: -550*z**4 - 2450*z**3 + 1682*z**2 + 588*z - 372</replace>
No more calculations needed.
<answer>-550*z**4 - 2450*z**3 + 1682*z**2 + 588*z - 372</answer>


Question:
Simplify this expression: (3*x**3 + 20*x)*(4*x**3 + 18*x)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 12*x**6 + 134*x**4 + 360*x**2

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (3*x**3 + 20*x)*(4*x**3 + 18*x)
Expanding the part (3*x**3 + 20*x) using the distributive property, and we got: (20*x)*(4*x**3 + 18*x) + (3*x**3)*(4*x**3 + 18*x)
<replace-#Step 1>#Step 2:
Current expression: (20*x)*(4*x**3 + 18*x) + (3*x**3)*(4*x**3 + 18*x)</replace>
Simplifying the partial expression: (3*x**3)*(4*x**3 + 18*x)
Expanding the part (4*x**3 + 18*x) using the distributive property, and we got: (18*x)*(3*x**3) + (3*x**3)*(4*x**3)
Replacing (3*x**3)*(4*x**3 + 18*x) with (18*x)*(3*x**3) + (3*x**3)*(4*x**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (18*x)*(3*x**3) + (20*x)*(4*x**3 + 18*x) + (3*x**3)*(4*x**3)</replace>
Simplifying the partial expression: (20*x)*(4*x**3 + 18*x)
Expanding the part (4*x**3 + 18*x) using the distributive property, and we got: (18*x)*(20*x) + (20*x)*(4*x**3)
Replacing (20*x)*(4*x**3 + 18*x) with (18*x)*(20*x) + (20*x)*(4*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (18*x)*(20*x) + (18*x)*(3*x**3) + (20*x)*(4*x**3) + (3*x**3)*(4*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (4*x**3)*(3*x**3) = 12*x**6
  (4*x**3)*(20*x) = 80*x**4
  (18*x)*(3*x**3) = 54*x**4
  (18*x)*(20*x) = 360*x**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 12*x**6 + 54*x**4 + 80*x**4 + 360*x**2</replace>
Combining like terms, got 12*x**6 + 134*x**4 + 360*x**2
<replace-#Step 5>#Step 6:
Current expression: 12*x**6 + 134*x**4 + 360*x**2</replace>
No more calculations needed.
<answer>12*x**6 + 134*x**4 + 360*x**2</answer>


Question:
Calculate the following: -34*y**3*(5*y**3 - 34*y**2)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -170*y**6 + 1156*y**5

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: -34*y**3*(5*y**3 - 34*y**2)
Expanding the part (5*y**3 - 34*y**2) using the distributive property, and we got: (-34*y**2)*(-34*y**3) + (-34*y**3)*(5*y**3)
<replace-#Step 1>#Step 2:
Current expression: (-34*y**2)*(-34*y**3) + (-34*y**3)*(5*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-34*y**2)*(-34*y**3) = 1156*y**5
  (5*y**3)*(-34*y**3) = -170*y**6
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -170*y**6 + 1156*y**5</replace>
No more calculations needed.
<answer>-170*y**6 + 1156*y**5</answer>


Question:
Simplify this expression: (-42*x**3 - 4*x)*(-4*x**3 - 36*x**2 - 35)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 168*x**6 + 1512*x**5 + 16*x**4 + 1614*x**3 + 140*x


Question:
Calculate the following: (21*y**3 + 15)*(-29*y**3 - 20*y**2 + 33)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -609*y**6 - 420*y**5 + 258*y**3 - 300*y**2 + 495

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (21*y**3 + 15)*(-29*y**3 - 20*y**2 + 33)
Expanding the part (21*y**3 + 15) using the distributive property, and we got: (21*y**3)*(-29*y**3 - 20*y**2 + 33) + 15*(-29*y**3 - 20*y**2 + 33)
<replace-#Step 1>#Step 2:
Current expression: (21*y**3)*(-29*y**3 - 20*y**2 + 33) + 15*(-29*y**3 - 20*y**2 + 33)</replace>
Simplifying the partial expression: 15*(-29*y**3 - 20*y**2 + 33)
Expanding the part (-29*y**3 - 20*y**2 + 33) using the distributive property, and we got: -20*y**2*15 - 29*y**3*15 + 33*15
Replacing 15*(-29*y**3 - 20*y**2 + 33) with -20*y**2*15 - 29*y**3*15 + 33*15 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -20*y**2*15 - 29*y**3*15 + (21*y**3)*(-29*y**3 - 20*y**2 + 33) + 495</replace>
Simplifying the partial expression: (21*y**3)*(-29*y**3 - 20*y**2 + 33)
Expanding the part (-29*y**3 - 20*y**2 + 33) using the distributive property, and we got: 33*(21*y**3) + (-20*y**2)*(21*y**3) + (-29*y**3)*(21*y**3)
Replacing (21*y**3)*(-29*y**3 - 20*y**2 + 33) with 33*(21*y**3) + (-20*y**2)*(21*y**3) + (-29*y**3)*(21*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 33*21*y**3 + (-20*y**2)*(21*y**3) - 20*y**2*15 + (-29*y**3)*(21*y**3) - 29*y**3*15 + 495</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-29*y**3)*15 = -435*y**3
  (-29*y**3)*(21*y**3) = -609*y**6
  (-20*y**2)*15 = -300*y**2
  (-20*y**2)*(21*y**3) = -420*y**5
  33*21*y**3 = 693*y**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -609*y**6 - 420*y**5 - 435*y**3 + 693*y**3 - 300*y**2 + 495</replace>
Combining like terms, got -609*y**6 - 420*y**5 + 258*y**3 - 300*y**2 + 495
<replace-#Step 5>#Step 6:
Current expression: -609*y**6 - 420*y**5 + 258*y**3 - 300*y**2 + 495</replace>
No more calculations needed.
<answer>-609*y**6 - 420*y**5 + 258*y**3 - 300*y**2 + 495</answer>


Question:
Calculate the following: (17*z**2 - 2)*(17*z**3 + 19*z)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 289*z**5 + 289*z**3 - 38*z

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (17*z**2 - 2)*(17*z**3 + 19*z)
Expanding the part (17*z**2 - 2) using the distributive property, and we got: (17*z**2)*(17*z**3 + 19*z) - 2*(17*z**3 + 19*z)
<replace-#Step 1>#Step 2:
Current expression: (17*z**2)*(17*z**3 + 19*z) - 2*(17*z**3 + 19*z)</replace>
Simplifying the partial expression: -2*(17*z**3 + 19*z)
Expanding the part (17*z**3 + 19*z) using the distributive property, and we got: (19*z)*(-2) + (17*z**3)*(-2)
Replacing -2*(17*z**3 + 19*z) with (19*z)*(-2) + (17*z**3)*(-2) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (19*z)*(-2) + (17*z**2)*(17*z**3 + 19*z) + (17*z**3)*(-2)</replace>
Simplifying the partial expression: (17*z**2)*(17*z**3 + 19*z)
Expanding the part (17*z**3 + 19*z) using the distributive property, and we got: (19*z)*(17*z**2) + (17*z**2)*(17*z**3)
Replacing (17*z**2)*(17*z**3 + 19*z) with (19*z)*(17*z**2) + (17*z**2)*(17*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (19*z)*(17*z**2) + (19*z)*(-2) + (17*z**2)*(17*z**3) + (17*z**3)*(-2)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (17*z**3)*-2 = -34*z**3
  (17*z**3)*(17*z**2) = 289*z**5
  (19*z)*-2 = -38*z
  (19*z)*(17*z**2) = 323*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 289*z**5 - 34*z**3 + 323*z**3 - 38*z</replace>
Combining like terms, got 289*z**5 + 289*z**3 - 38*z
<replace-#Step 5>#Step 6:
Current expression: 289*z**5 + 289*z**3 - 38*z</replace>
No more calculations needed.
<answer>289*z**5 + 289*z**3 - 38*z</answer>


Question:
Calculate the following: (-19*x**3 - 26)*(22*x**3 - 18*x)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -418*x**6 + 342*x**4 - 572*x**3 + 468*x

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-19*x**3 - 26)*(22*x**3 - 18*x)
Expanding the part (-19*x**3 - 26) using the distributive property, and we got: (-19*x**3)*(22*x**3 - 18*x) - 26*(22*x**3 - 18*x)
<replace-#Step 1>#Step 2:
Current expression: (-19*x**3)*(22*x**3 - 18*x) - 26*(22*x**3 - 18*x)</replace>
Simplifying the partial expression: -26*(22*x**3 - 18*x)
Expanding the part (22*x**3 - 18*x) using the distributive property, and we got: -18*x*(-26) + (22*x**3)*(-26)
Replacing -26*(22*x**3 - 18*x) with -18*x*(-26) + (22*x**3)*(-26) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -18*x*(-26) + (-19*x**3)*(22*x**3 - 18*x) + (22*x**3)*(-26)</replace>
Simplifying the partial expression: (-19*x**3)*(22*x**3 - 18*x)
Expanding the part (22*x**3 - 18*x) using the distributive property, and we got: (-18*x)*(-19*x**3) + (-19*x**3)*(22*x**3)
Replacing (-19*x**3)*(22*x**3 - 18*x) with (-18*x)*(-19*x**3) + (-19*x**3)*(22*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-18*x)*(-19*x**3) - 18*x*(-26) + (-19*x**3)*(22*x**3) + (22*x**3)*(-26)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-18*x)*-26 = 468*x
  (-18*x)*(-19*x**3) = 342*x**4
  (22*x**3)*-26 = -572*x**3
  (22*x**3)*(-19*x**3) = -418*x**6
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -418*x**6 + 342*x**4 - 572*x**3 + 468*x</replace>
No more calculations needed.
<answer>-418*x**6 + 342*x**4 - 572*x**3 + 468*x</answer>


Question:
Calculate the following: (27*y**2 + 55*y)*(39*y**3 + 20*y**2 + 21)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 1053*y**5 + 2685*y**4 + 1100*y**3 + 567*y**2 + 1155*y


Question:
Calculate the following: (4*x**2 + 18)*(-7*x**3 + 24*x + 9)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -28*x**5 - 30*x**3 + 36*x**2 + 432*x + 162

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (4*x**2 + 18)*(-7*x**3 + 24*x + 9)
Expanding the part (4*x**2 + 18) using the distributive property, and we got: (4*x**2)*(-7*x**3 + 24*x + 9) + 18*(-7*x**3 + 24*x + 9)
<replace-#Step 1>#Step 2:
Current expression: (4*x**2)*(-7*x**3 + 24*x + 9) + 18*(-7*x**3 + 24*x + 9)</replace>
Simplifying the partial expression: 18*(-7*x**3 + 24*x + 9)
Expanding the part (-7*x**3 + 24*x + 9) using the distributive property, and we got: (24*x)*18 - 7*x**3*18 + 9*18
Replacing 18*(-7*x**3 + 24*x + 9) with (24*x)*18 - 7*x**3*18 + 9*18 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (24*x)*18 + (4*x**2)*(-7*x**3 + 24*x + 9) - 7*x**3*18 + 162</replace>
Simplifying the partial expression: (4*x**2)*(-7*x**3 + 24*x + 9)
Expanding the part (-7*x**3 + 24*x + 9) using the distributive property, and we got: 9*(4*x**2) + (24*x)*(4*x**2) + (4*x**2)*(-7*x**3)
Replacing (4*x**2)*(-7*x**3 + 24*x + 9) with 9*(4*x**2) + (24*x)*(4*x**2) + (4*x**2)*(-7*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 9*4*x**2 + (24*x)*(4*x**2) + (24*x)*18 + (4*x**2)*(-7*x**3) - 7*x**3*18 + 162</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-7*x**3)*18 = -126*x**3
  (-7*x**3)*(4*x**2) = -28*x**5
  (24*x)*18 = 432*x
  (24*x)*(4*x**2) = 96*x**3
  9*4*x**2 = 36*x**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -28*x**5 - 126*x**3 + 96*x**3 + 36*x**2 + 432*x + 162</replace>
Combining like terms, got -28*x**5 - 30*x**3 + 36*x**2 + 432*x + 162
<replace-#Step 5>#Step 6:
Current expression: -28*x**5 - 30*x**3 + 36*x**2 + 432*x + 162</replace>
No more calculations needed.
<answer>-28*x**5 - 30*x**3 + 36*x**2 + 432*x + 162</answer>


Question:
Calculate the following: (-9*x**3 - 34*x**2 + 34*x - 10)*(14*x**3 + 7*x**2 - 20*x - 49)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -126*x**6 - 539*x**5 + 418*x**4 + 1219*x**3 + 916*x**2 - 1466*x + 490


Question:
Simplify this expression: 60*y**2*(-29*y**2 - 6)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1740*y**4 - 360*y**2

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: 60*y**2*(-29*y**2 - 6)
Expanding the part (-29*y**2 - 6) using the distributive property, and we got: -360*y**2 + (-29*y**2)*(60*y**2)
<replace-#Step 1>#Step 2:
Current expression: -360*y**2 + (-29*y**2)*(60*y**2)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -6*(60*y**2) = -360*y**2
  (-29*y**2)*(60*y**2) = -1740*y**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -1740*y**4 - 360*y**2</replace>
No more calculations needed.
<answer>-1740*y**4 - 360*y**2</answer>


Question:
Calculate the following: (-49*x**2 - 23*x + 30)*(-32*x**3 + 2*x**2 + 43)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 1568*x**5 + 638*x**4 - 1006*x**3 - 2047*x**2 - 989*x + 1290


Question:
Simplify this expression: 0
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 0

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: 0
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:

Replacing them in the overall expression.
<replace-#Step 1>#Step 2:
Current expression: 0</replace>
No more calculations needed.
<answer>0</answer>


Question:
Simplify this expression: 23*z**2*(-39*z**2 - 28*z)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -897*z**4 - 644*z**3

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: 23*z**2*(-39*z**2 - 28*z)
Expanding the part (-39*z**2 - 28*z) using the distributive property, and we got: (-28*z)*(23*z**2) + (-39*z**2)*(23*z**2)
<replace-#Step 1>#Step 2:
Current expression: (-28*z)*(23*z**2) + (-39*z**2)*(23*z**2)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-39*z**2)*(23*z**2) = -897*z**4
  (-28*z)*(23*z**2) = -644*z**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -897*z**4 - 644*z**3</replace>
No more calculations needed.
<answer>-897*z**4 - 644*z**3</answer>


Question:
Calculate the following: (7 - 9*y**3)*(25*y**3 + 9*y**2)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -225*y**6 - 81*y**5 + 175*y**3 + 63*y**2

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (7 - 9*y**3)*(25*y**3 + 9*y**2)
Expanding the part (7 - 9*y**3) using the distributive property, and we got: (-9*y**3)*(25*y**3 + 9*y**2) + 7*(25*y**3 + 9*y**2)
<replace-#Step 1>#Step 2:
Current expression: (-9*y**3)*(25*y**3 + 9*y**2) + 7*(25*y**3 + 9*y**2)</replace>
Simplifying the partial expression: 7*(25*y**3 + 9*y**2)
Expanding the part (25*y**3 + 9*y**2) using the distributive property, and we got: (9*y**2)*7 + (25*y**3)*7
Replacing 7*(25*y**3 + 9*y**2) with (9*y**2)*7 + (25*y**3)*7 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (9*y**2)*7 + (-9*y**3)*(25*y**3 + 9*y**2) + (25*y**3)*7</replace>
Simplifying the partial expression: (-9*y**3)*(25*y**3 + 9*y**2)
Expanding the part (25*y**3 + 9*y**2) using the distributive property, and we got: (9*y**2)*(-9*y**3) + (-9*y**3)*(25*y**3)
Replacing (-9*y**3)*(25*y**3 + 9*y**2) with (9*y**2)*(-9*y**3) + (-9*y**3)*(25*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (9*y**2)*(-9*y**3) + (9*y**2)*7 + (-9*y**3)*(25*y**3) + (25*y**3)*7</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (9*y**2)*7 = 63*y**2
  (9*y**2)*(-9*y**3) = -81*y**5
  (25*y**3)*7 = 175*y**3
  (25*y**3)*(-9*y**3) = -225*y**6
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -225*y**6 - 81*y**5 + 175*y**3 + 63*y**2</replace>
No more calculations needed.
<answer>-225*y**6 - 81*y**5 + 175*y**3 + 63*y**2</answer>


Question:
Calculate the following: 550*y**3 + 748*y**2 - 1100*y
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 550*y**3 + 748*y**2 - 1100*y

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: 550*y**3 + 748*y**2 - 1100*y
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:

Replacing them in the overall expression.
<replace-#Step 1>#Step 2:
Current expression: 550*y**3 + 748*y**2 - 1100*y</replace>
No more calculations needed.
<answer>550*y**3 + 748*y**2 - 1100*y</answer>


Question:
Simplify this expression: (-38*y - 19)*(21*y + 8)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -798*y**2 - 703*y - 152

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-38*y - 19)*(21*y + 8)
Expanding the part (-38*y - 19) using the distributive property, and we got: (-38*y)*(21*y + 8) - 19*(21*y + 8)
<replace-#Step 1>#Step 2:
Current expression: (-38*y)*(21*y + 8) - 19*(21*y + 8)</replace>
Simplifying the partial expression: -19*(21*y + 8)
Expanding the part (21*y + 8) using the distributive property, and we got: (21*y)*(-19) + 8*(-19)
Replacing -19*(21*y + 8) with (21*y)*(-19) + 8*(-19) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-38*y)*(21*y + 8) + (21*y)*(-19) - 152</replace>
Simplifying the partial expression: (-38*y)*(21*y + 8)
Expanding the part (21*y + 8) using the distributive property, and we got: (-38*y)*(21*y) + 8*(-38*y)
Replacing (-38*y)*(21*y + 8) with (-38*y)*(21*y) + 8*(-38*y) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-38*y)*(21*y) + 8*(-38)*y + (21*y)*(-19) - 152</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (21*y)*-19 = -399*y
  (21*y)*(-38*y) = -798*y**2
  8*-38*y = -304*y
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -798*y**2 - 399*y - 304*y - 152</replace>
Combining like terms, got -798*y**2 - 703*y - 152
<replace-#Step 5>#Step 6:
Current expression: -798*y**2 - 703*y - 152</replace>
No more calculations needed.
<answer>-798*y**2 - 703*y - 152</answer>


Question:
Calculate the following: (-46*x**3 - 39)*(-x**3 + 6*x**2 - 35*x)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 46*x**6 - 276*x**5 + 1610*x**4 + 39*x**3 - 234*x**2 + 1365*x

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-46*x**3 - 39)*(-x**3 + 6*x**2 - 35*x)
Expanding the part (-46*x**3 - 39) using the distributive property, and we got: (-46*x**3)*(-x**3 + 6*x**2 - 35*x) - 39*(-x**3 + 6*x**2 - 35*x)
<replace-#Step 1>#Step 2:
Current expression: (-46*x**3)*(-x**3 + 6*x**2 - 35*x) - 39*(-x**3 + 6*x**2 - 35*x)</replace>
Simplifying the partial expression: -39*(-x**3 + 6*x**2 - 35*x)
Expanding the part (-x**3 + 6*x**2 - 35*x) using the distributive property, and we got: -35*x*(-39) + (6*x**2)*(-39) - x**3*(-39)
Replacing -39*(-x**3 + 6*x**2 - 35*x) with -35*x*(-39) + (6*x**2)*(-39) - x**3*(-39) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -35*x*(-39) + (6*x**2)*(-39) + (-46*x**3)*(-x**3 + 6*x**2 - 35*x) - x**3*(-39)</replace>
Simplifying the partial expression: (-46*x**3)*(-x**3 + 6*x**2 - 35*x)
Expanding the part (-x**3 + 6*x**2 - 35*x) using the distributive property, and we got: (-35*x)*(-46*x**3) + (6*x**2)*(-46*x**3) + (-46*x**3)*(-x**3)
Replacing (-46*x**3)*(-x**3 + 6*x**2 - 35*x) with (-35*x)*(-46*x**3) + (6*x**2)*(-46*x**3) + (-46*x**3)*(-x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-35*x)*(-46*x**3) - 35*x*(-39) + (6*x**2)*(-46*x**3) + (6*x**2)*(-39) + (-46*x**3)*(-x**3) - x**3*(-39)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-x**3)*-39 = 39*x**3
  (-x**3)*(-46*x**3) = 46*x**6
  (-35*x)*-39 = 1365*x
  (-35*x)*(-46*x**3) = 1610*x**4
  (6*x**2)*-39 = -234*x**2
  (6*x**2)*(-46*x**3) = -276*x**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 46*x**6 - 276*x**5 + 1610*x**4 + 39*x**3 - 234*x**2 + 1365*x</replace>
No more calculations needed.
<answer>46*x**6 - 276*x**5 + 1610*x**4 + 39*x**3 - 234*x**2 + 1365*x</answer>


Question:
Calculate the following: (8 - 10*x**2)*(18*x**3 - 92*x)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -180*x**5 + 1064*x**3 - 736*x

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (8 - 10*x**2)*(18*x**3 - 92*x)
Expanding the part (8 - 10*x**2) using the distributive property, and we got: (-10*x**2)*(18*x**3 - 92*x) + 8*(18*x**3 - 92*x)
<replace-#Step 1>#Step 2:
Current expression: (-10*x**2)*(18*x**3 - 92*x) + 8*(18*x**3 - 92*x)</replace>
Simplifying the partial expression: 8*(18*x**3 - 92*x)
Expanding the part (18*x**3 - 92*x) using the distributive property, and we got: -92*x*8 + (18*x**3)*8
Replacing 8*(18*x**3 - 92*x) with -92*x*8 + (18*x**3)*8 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -92*x*8 + (-10*x**2)*(18*x**3 - 92*x) + (18*x**3)*8</replace>
Simplifying the partial expression: (-10*x**2)*(18*x**3 - 92*x)
Expanding the part (18*x**3 - 92*x) using the distributive property, and we got: (-92*x)*(-10*x**2) + (-10*x**2)*(18*x**3)
Replacing (-10*x**2)*(18*x**3 - 92*x) with (-92*x)*(-10*x**2) + (-10*x**2)*(18*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-92*x)*(-10*x**2) - 92*x*8 + (-10*x**2)*(18*x**3) + (18*x**3)*8</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-92*x)*8 = -736*x
  (-92*x)*(-10*x**2) = 920*x**3
  (18*x**3)*8 = 144*x**3
  (18*x**3)*(-10*x**2) = -180*x**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -180*x**5 + 144*x**3 + 920*x**3 - 736*x</replace>
Combining like terms, got -180*x**5 + 1064*x**3 - 736*x
<replace-#Step 5>#Step 6:
Current expression: -180*x**5 + 1064*x**3 - 736*x</replace>
No more calculations needed.
<answer>-180*x**5 + 1064*x**3 - 736*x</answer>


Question:
Calculate the following: (21*x**3 - 15)*(-48*x**2 + 7*x - 20)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1008*x**5 + 147*x**4 - 420*x**3 + 720*x**2 - 105*x + 300

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (21*x**3 - 15)*(-48*x**2 + 7*x - 20)
Expanding the part (21*x**3 - 15) using the distributive property, and we got: (21*x**3)*(-48*x**2 + 7*x - 20) - 15*(-48*x**2 + 7*x - 20)
<replace-#Step 1>#Step 2:
Current expression: (21*x**3)*(-48*x**2 + 7*x - 20) - 15*(-48*x**2 + 7*x - 20)</replace>
Simplifying the partial expression: -15*(-48*x**2 + 7*x - 20)
Expanding the part (-48*x**2 + 7*x - 20) using the distributive property, and we got: (7*x)*(-15) - 48*x**2*(-15) - 20*(-15)
Replacing -15*(-48*x**2 + 7*x - 20) with (7*x)*(-15) - 48*x**2*(-15) - 20*(-15) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (7*x)*(-15) - 48*x**2*(-15) + (21*x**3)*(-48*x**2 + 7*x - 20) + 300</replace>
Simplifying the partial expression: (21*x**3)*(-48*x**2 + 7*x - 20)
Expanding the part (-48*x**2 + 7*x - 20) using the distributive property, and we got: -420*x**3 + (7*x)*(21*x**3) + (-48*x**2)*(21*x**3)
Replacing (21*x**3)*(-48*x**2 + 7*x - 20) with -420*x**3 + (7*x)*(21*x**3) + (-48*x**2)*(21*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -20*21*x**3 + (7*x)*(21*x**3) + (7*x)*(-15) + (-48*x**2)*(21*x**3) - 48*x**2*(-15) + 300</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-48*x**2)*-15 = 720*x**2
  (-48*x**2)*(21*x**3) = -1008*x**5
  (7*x)*-15 = -105*x
  (7*x)*(21*x**3) = 147*x**4
  -20*21*x**3 = -420*x**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1008*x**5 + 147*x**4 - 420*x**3 + 720*x**2 - 105*x + 300</replace>
No more calculations needed.
<answer>-1008*x**5 + 147*x**4 - 420*x**3 + 720*x**2 - 105*x + 300</answer>


Question:
Calculate the following: (-8*y**2 - 10*y + 49)*(20*y**3 - 51*y**2 - 43*y)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -160*y**5 + 208*y**4 + 1834*y**3 - 2069*y**2 - 2107*y


Question:
Calculate the following: 57*x**3*(4*x**3 + 6*x - 11)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 228*x**6 + 342*x**4 - 627*x**3

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: 57*x**3*(4*x**3 + 6*x - 11)
Expanding the part (4*x**3 + 6*x - 11) using the distributive property, and we got: -627*x**3 + (6*x)*(57*x**3) + (4*x**3)*(57*x**3)
<replace-#Step 1>#Step 2:
Current expression: -627*x**3 + (6*x)*(57*x**3) + (4*x**3)*(57*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -11*(57*x**3) = -627*x**3
  (4*x**3)*(57*x**3) = 228*x**6
  (6*x)*(57*x**3) = 342*x**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 228*x**6 + 342*x**4 - 627*x**3</replace>
No more calculations needed.
<answer>228*x**6 + 342*x**4 - 627*x**3</answer>


Question:
Simplify this expression: (17*y**2 + 11*y)*(41*y**3 + 14*y**2 + 14)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 697*y**5 + 689*y**4 + 154*y**3 + 238*y**2 + 154*y


Question:
Simplify this expression: (-34*z**2 - 5*z)*(9*z**3 + 25)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -306*z**5 - 45*z**4 - 850*z**2 - 125*z

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-34*z**2 - 5*z)*(9*z**3 + 25)
Expanding the part (9*z**3 + 25) using the distributive property, and we got: (9*z**3)*(-34*z**2 - 5*z) + 25*(-34*z**2 - 5*z)
<replace-#Step 1>#Step 2:
Current expression: (9*z**3)*(-34*z**2 - 5*z) + 25*(-34*z**2 - 5*z)</replace>
Simplifying the partial expression: 25*(-34*z**2 - 5*z)
Expanding the part (-34*z**2 - 5*z) using the distributive property, and we got: -5*z*25 - 34*z**2*25
Replacing 25*(-34*z**2 - 5*z) with -5*z*25 - 34*z**2*25 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -5*z*25 - 34*z**2*25 + (9*z**3)*(-34*z**2 - 5*z)</replace>
Simplifying the partial expression: (9*z**3)*(-34*z**2 - 5*z)
Expanding the part (-34*z**2 - 5*z) using the distributive property, and we got: (-5*z)*(9*z**3) + (-34*z**2)*(9*z**3)
Replacing (9*z**3)*(-34*z**2 - 5*z) with (-5*z)*(9*z**3) + (-34*z**2)*(9*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-5*z)*(9*z**3) - 5*z*25 + (-34*z**2)*(9*z**3) - 34*z**2*25</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-34*z**2)*25 = -850*z**2
  (-34*z**2)*(9*z**3) = -306*z**5
  (-5*z)*25 = -125*z
  (-5*z)*(9*z**3) = -45*z**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -306*z**5 - 45*z**4 - 850*z**2 - 125*z</replace>
No more calculations needed.
<answer>-306*z**5 - 45*z**4 - 850*z**2 - 125*z</answer>


Question:
Simplify this expression: (6*z**2 - 3*z)*(8*z**3 + 28*z**2)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 48*z**5 + 144*z**4 - 84*z**3

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (6*z**2 - 3*z)*(8*z**3 + 28*z**2)
Expanding the part (6*z**2 - 3*z) using the distributive property, and we got: (-3*z)*(8*z**3 + 28*z**2) + (6*z**2)*(8*z**3 + 28*z**2)
<replace-#Step 1>#Step 2:
Current expression: (-3*z)*(8*z**3 + 28*z**2) + (6*z**2)*(8*z**3 + 28*z**2)</replace>
Simplifying the partial expression: (-3*z)*(8*z**3 + 28*z**2)
Expanding the part (8*z**3 + 28*z**2) using the distributive property, and we got: (-3*z)*(28*z**2) + (-3*z)*(8*z**3)
Replacing (-3*z)*(8*z**3 + 28*z**2) with (-3*z)*(28*z**2) + (-3*z)*(8*z**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-3*z)*(28*z**2) + (-3*z)*(8*z**3) + (6*z**2)*(8*z**3 + 28*z**2)</replace>
Simplifying the partial expression: (6*z**2)*(8*z**3 + 28*z**2)
Expanding the part (8*z**3 + 28*z**2) using the distributive property, and we got: (6*z**2)*(28*z**2) + (6*z**2)*(8*z**3)
Replacing (6*z**2)*(8*z**3 + 28*z**2) with (6*z**2)*(28*z**2) + (6*z**2)*(8*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-3*z)*(28*z**2) + (-3*z)*(8*z**3) + (6*z**2)*(28*z**2) + (6*z**2)*(8*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (8*z**3)*(-3*z) = -24*z**4
  (8*z**3)*(6*z**2) = 48*z**5
  (28*z**2)*(-3*z) = -84*z**3
  (28*z**2)*(6*z**2) = 168*z**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 48*z**5 - 24*z**4 + 168*z**4 - 84*z**3</replace>
Combining like terms, got 48*z**5 + 144*z**4 - 84*z**3
<replace-#Step 5>#Step 6:
Current expression: 48*z**5 + 144*z**4 - 84*z**3</replace>
No more calculations needed.
<answer>48*z**5 + 144*z**4 - 84*z**3</answer>


Question:
Calculate the following: (-5*x**3 - 45*x)*(18*x**3 - 22*x + 56)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -90*x**6 - 700*x**4 - 280*x**3 + 990*x**2 - 2520*x

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-5*x**3 - 45*x)*(18*x**3 - 22*x + 56)
Expanding the part (-5*x**3 - 45*x) using the distributive property, and we got: (-45*x)*(18*x**3 - 22*x + 56) + (-5*x**3)*(18*x**3 - 22*x + 56)
<replace-#Step 1>#Step 2:
Current expression: (-45*x)*(18*x**3 - 22*x + 56) + (-5*x**3)*(18*x**3 - 22*x + 56)</replace>
Simplifying the partial expression: (-45*x)*(18*x**3 - 22*x + 56)
Expanding the part (18*x**3 - 22*x + 56) using the distributive property, and we got: (-45*x)*(-22*x) + (-45*x)*(18*x**3) + 56*(-45*x)
Replacing (-45*x)*(18*x**3 - 22*x + 56) with (-45*x)*(-22*x) + (-45*x)*(18*x**3) + 56*(-45*x) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-45*x)*(-22*x) + (-45*x)*(18*x**3) + 56*(-45)*x + (-5*x**3)*(18*x**3 - 22*x + 56)</replace>
Simplifying the partial expression: (-5*x**3)*(18*x**3 - 22*x + 56)
Expanding the part (18*x**3 - 22*x + 56) using the distributive property, and we got: (-22*x)*(-5*x**3) + 56*(-5*x**3) + (-5*x**3)*(18*x**3)
Replacing (-5*x**3)*(18*x**3 - 22*x + 56) with (-22*x)*(-5*x**3) + 56*(-5*x**3) + (-5*x**3)*(18*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-45*x)*(-22*x) + (-45*x)*(18*x**3) + (-22*x)*(-5*x**3) + 56*(-5)*x**3 + 56*(-45)*x + (-5*x**3)*(18*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-22*x)*(-45*x) = 990*x**2
  (-22*x)*(-5*x**3) = 110*x**4
  (18*x**3)*(-45*x) = -810*x**4
  (18*x**3)*(-5*x**3) = -90*x**6
  56*-45*x = -2520*x
  56*-5*x**3 = -280*x**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -90*x**6 - 810*x**4 + 110*x**4 - 280*x**3 + 990*x**2 - 2520*x</replace>
Combining like terms, got -90*x**6 - 700*x**4 - 280*x**3 + 990*x**2 - 2520*x
<replace-#Step 5>#Step 6:
Current expression: -90*x**6 - 700*x**4 - 280*x**3 + 990*x**2 - 2520*x</replace>
No more calculations needed.
<answer>-90*x**6 - 700*x**4 - 280*x**3 + 990*x**2 - 2520*x</answer>


Question:
Calculate the following: (-33*x**2 + 37*x)*(-43*x**3 + 6*x**2)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 1419*x**5 - 1789*x**4 + 222*x**3

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-33*x**2 + 37*x)*(-43*x**3 + 6*x**2)
Expanding the part (-43*x**3 + 6*x**2) using the distributive property, and we got: (6*x**2)*(-33*x**2 + 37*x) + (-43*x**3)*(-33*x**2 + 37*x)
<replace-#Step 1>#Step 2:
Current expression: (6*x**2)*(-33*x**2 + 37*x) + (-43*x**3)*(-33*x**2 + 37*x)</replace>
Simplifying the partial expression: (-43*x**3)*(-33*x**2 + 37*x)
Expanding the part (-33*x**2 + 37*x) using the distributive property, and we got: (37*x)*(-43*x**3) + (-33*x**2)*(-43*x**3)
Replacing (-43*x**3)*(-33*x**2 + 37*x) with (37*x)*(-43*x**3) + (-33*x**2)*(-43*x**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (37*x)*(-43*x**3) + (-33*x**2)*(-43*x**3) + (6*x**2)*(-33*x**2 + 37*x)</replace>
Simplifying the partial expression: (6*x**2)*(-33*x**2 + 37*x)
Expanding the part (-33*x**2 + 37*x) using the distributive property, and we got: (37*x)*(6*x**2) + (-33*x**2)*(6*x**2)
Replacing (6*x**2)*(-33*x**2 + 37*x) with (37*x)*(6*x**2) + (-33*x**2)*(6*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (37*x)*(6*x**2) + (37*x)*(-43*x**3) + (-33*x**2)*(6*x**2) + (-33*x**2)*(-43*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-33*x**2)*(-43*x**3) = 1419*x**5
  (-33*x**2)*(6*x**2) = -198*x**4
  (37*x)*(-43*x**3) = -1591*x**4
  (37*x)*(6*x**2) = 222*x**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1419*x**5 - 1591*x**4 - 198*x**4 + 222*x**3</replace>
Combining like terms, got 1419*x**5 - 1789*x**4 + 222*x**3
<replace-#Step 5>#Step 6:
Current expression: 1419*x**5 - 1789*x**4 + 222*x**3</replace>
No more calculations needed.
<answer>1419*x**5 - 1789*x**4 + 222*x**3</answer>


Question:
Simplify this expression: (-28*z**3 + 29*z**2)*(16*z**3 - 35*z**2)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -448*z**6 + 1444*z**5 - 1015*z**4

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-28*z**3 + 29*z**2)*(16*z**3 - 35*z**2)
Expanding the part (16*z**3 - 35*z**2) using the distributive property, and we got: (-35*z**2)*(-28*z**3 + 29*z**2) + (16*z**3)*(-28*z**3 + 29*z**2)
<replace-#Step 1>#Step 2:
Current expression: (-35*z**2)*(-28*z**3 + 29*z**2) + (16*z**3)*(-28*z**3 + 29*z**2)</replace>
Simplifying the partial expression: (-35*z**2)*(-28*z**3 + 29*z**2)
Expanding the part (-28*z**3 + 29*z**2) using the distributive property, and we got: (-35*z**2)*(29*z**2) + (-35*z**2)*(-28*z**3)
Replacing (-35*z**2)*(-28*z**3 + 29*z**2) with (-35*z**2)*(29*z**2) + (-35*z**2)*(-28*z**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-35*z**2)*(29*z**2) + (-35*z**2)*(-28*z**3) + (16*z**3)*(-28*z**3 + 29*z**2)</replace>
Simplifying the partial expression: (16*z**3)*(-28*z**3 + 29*z**2)
Expanding the part (-28*z**3 + 29*z**2) using the distributive property, and we got: (29*z**2)*(16*z**3) + (-28*z**3)*(16*z**3)
Replacing (16*z**3)*(-28*z**3 + 29*z**2) with (29*z**2)*(16*z**3) + (-28*z**3)*(16*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-35*z**2)*(29*z**2) + (-35*z**2)*(-28*z**3) + (29*z**2)*(16*z**3) + (-28*z**3)*(16*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-28*z**3)*(-35*z**2) = 980*z**5
  (-28*z**3)*(16*z**3) = -448*z**6
  (29*z**2)*(-35*z**2) = -1015*z**4
  (29*z**2)*(16*z**3) = 464*z**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -448*z**6 + 464*z**5 + 980*z**5 - 1015*z**4</replace>
Combining like terms, got -448*z**6 + 1444*z**5 - 1015*z**4
<replace-#Step 5>#Step 6:
Current expression: -448*z**6 + 1444*z**5 - 1015*z**4</replace>
No more calculations needed.
<answer>-448*z**6 + 1444*z**5 - 1015*z**4</answer>


Question:
Calculate the following: 2226*y**3 + 1537*y**2
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 2226*y**3 + 1537*y**2

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: 2226*y**3 + 1537*y**2
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:

Replacing them in the overall expression.
<replace-#Step 1>#Step 2:
Current expression: 2226*y**3 + 1537*y**2</replace>
No more calculations needed.
<answer>2226*y**3 + 1537*y**2</answer>


Question:
Simplify this expression: (37*z**2 - 40)*(-10*z**3 - 38*z**2)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -370*z**5 - 1406*z**4 + 400*z**3 + 1520*z**2

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (37*z**2 - 40)*(-10*z**3 - 38*z**2)
Expanding the part (37*z**2 - 40) using the distributive property, and we got: (37*z**2)*(-10*z**3 - 38*z**2) - 40*(-10*z**3 - 38*z**2)
<replace-#Step 1>#Step 2:
Current expression: (37*z**2)*(-10*z**3 - 38*z**2) - 40*(-10*z**3 - 38*z**2)</replace>
Simplifying the partial expression: -40*(-10*z**3 - 38*z**2)
Expanding the part (-10*z**3 - 38*z**2) using the distributive property, and we got: -38*z**2*(-40) - 10*z**3*(-40)
Replacing -40*(-10*z**3 - 38*z**2) with -38*z**2*(-40) - 10*z**3*(-40) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -38*z**2*(-40) + (37*z**2)*(-10*z**3 - 38*z**2) - 10*z**3*(-40)</replace>
Simplifying the partial expression: (37*z**2)*(-10*z**3 - 38*z**2)
Expanding the part (-10*z**3 - 38*z**2) using the distributive property, and we got: (-38*z**2)*(37*z**2) + (37*z**2)*(-10*z**3)
Replacing (37*z**2)*(-10*z**3 - 38*z**2) with (-38*z**2)*(37*z**2) + (37*z**2)*(-10*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-38*z**2)*(37*z**2) - 38*z**2*(-40) + (37*z**2)*(-10*z**3) - 10*z**3*(-40)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-38*z**2)*-40 = 1520*z**2
  (-38*z**2)*(37*z**2) = -1406*z**4
  (-10*z**3)*-40 = 400*z**3
  (-10*z**3)*(37*z**2) = -370*z**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -370*z**5 - 1406*z**4 + 400*z**3 + 1520*z**2</replace>
No more calculations needed.
<answer>-370*z**5 - 1406*z**4 + 400*z**3 + 1520*z**2</answer>


Question:
Calculate the following: (-45*z - 48)*(13*z**3 + 25*z - 4)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -585*z**4 - 624*z**3 - 1125*z**2 - 1020*z + 192

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-45*z - 48)*(13*z**3 + 25*z - 4)
Expanding the part (-45*z - 48) using the distributive property, and we got: (-45*z)*(13*z**3 + 25*z - 4) - 48*(13*z**3 + 25*z - 4)
<replace-#Step 1>#Step 2:
Current expression: (-45*z)*(13*z**3 + 25*z - 4) - 48*(13*z**3 + 25*z - 4)</replace>
Simplifying the partial expression: -48*(13*z**3 + 25*z - 4)
Expanding the part (13*z**3 + 25*z - 4) using the distributive property, and we got: (25*z)*(-48) + (13*z**3)*(-48) - 4*(-48)
Replacing -48*(13*z**3 + 25*z - 4) with (25*z)*(-48) + (13*z**3)*(-48) - 4*(-48) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-45*z)*(13*z**3 + 25*z - 4) + (25*z)*(-48) + (13*z**3)*(-48) + 192</replace>
Simplifying the partial expression: (-45*z)*(13*z**3 + 25*z - 4)
Expanding the part (13*z**3 + 25*z - 4) using the distributive property, and we got: (-45*z)*(25*z) + (-45*z)*(13*z**3) - (-1)*180*z
Replacing (-45*z)*(13*z**3 + 25*z - 4) with (-45*z)*(25*z) + (-45*z)*(13*z**3) - (-1)*180*z in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-45*z)*(25*z) + (-45*z)*(13*z**3) - 4*(-45)*z + (25*z)*(-48) + (13*z**3)*(-48) + 192</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (13*z**3)*-48 = -624*z**3
  (13*z**3)*(-45*z) = -585*z**4
  (25*z)*-48 = -1200*z
  (25*z)*(-45*z) = -1125*z**2
  -4*-45*z = 180*z
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -585*z**4 - 624*z**3 - 1125*z**2 - 1200*z + 180*z + 192</replace>
Combining like terms, got -585*z**4 - 624*z**3 - 1125*z**2 - 1020*z + 192
<replace-#Step 5>#Step 6:
Current expression: -585*z**4 - 624*z**3 - 1125*z**2 - 1020*z + 192</replace>
No more calculations needed.
<answer>-585*z**4 - 624*z**3 - 1125*z**2 - 1020*z + 192</answer>