Question:
Calculate the following: (6*z + 15)*(38*z**3 + 50*z**2 - 77*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: 228*z**4 + 870*z**3 + 288*z**2 - 1155*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 + 15)*(38*z**3 + 50*z**2 - 77*z)
Expanding the part (6*z + 15) using the distributive property, and we got: (6*z)*(38*z**3 + 50*z**2 - 77*z) + 15*(38*z**3 + 50*z**2 - 77*z)
<replace-#Step 1>#Step 2:
Current expression: (6*z)*(38*z**3 + 50*z**2 - 77*z) + 15*(38*z**3 + 50*z**2 - 77*z)</replace>
Simplifying the partial expression: 15*(38*z**3 + 50*z**2 - 77*z)
Expanding the part (38*z**3 + 50*z**2 - 77*z) using the distributive property, and we got: -77*z*15 + (50*z**2)*15 + (38*z**3)*15
Replacing 15*(38*z**3 + 50*z**2 - 77*z) with -77*z*15 + (50*z**2)*15 + (38*z**3)*15 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -77*z*15 + (6*z)*(38*z**3 + 50*z**2 - 77*z) + (50*z**2)*15 + (38*z**3)*15</replace>
Simplifying the partial expression: (6*z)*(38*z**3 + 50*z**2 - 77*z)
Expanding the part (38*z**3 + 50*z**2 - 77*z) using the distributive property, and we got: (-77*z)*(6*z) + (6*z)*(50*z**2) + (6*z)*(38*z**3)
Replacing (6*z)*(38*z**3 + 50*z**2 - 77*z) with (-77*z)*(6*z) + (6*z)*(50*z**2) + (6*z)*(38*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-77*z)*(6*z) - 77*z*15 + (6*z)*(50*z**2) + (6*z)*(38*z**3) + (50*z**2)*15 + (38*z**3)*15</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-77*z)*15 = -1155*z
  (-77*z)*(6*z) = -462*z**2
  (38*z**3)*15 = 570*z**3
  (38*z**3)*(6*z) = 228*z**4
  (50*z**2)*15 = 750*z**2
  (50*z**2)*(6*z) = 300*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 228*z**4 + 300*z**3 + 570*z**3 - 462*z**2 + 750*z**2 - 1155*z</replace>
Combining like terms, got 228*z**4 + 870*z**3 + 288*z**2 - 1155*z
<replace-#Step 5>#Step 6:
Current expression: 228*z**4 + 870*z**3 + 288*z**2 - 1155*z</replace>
No more calculations needed.
<answer>228*z**4 + 870*z**3 + 288*z**2 - 1155*z</answer>


Question:
Calculate the following: (-18*z**2 - 39)*(39*z**2 + 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: -702*z**4 - 2565*z**2 - 2262

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: (-18*z**2 - 39)*(39*z**2 + 58)
Expanding the part (-18*z**2 - 39) using the distributive property, and we got: (-18*z**2)*(39*z**2 + 58) - 39*(39*z**2 + 58)
<replace-#Step 1>#Step 2:
Current expression: (-18*z**2)*(39*z**2 + 58) - 39*(39*z**2 + 58)</replace>
Simplifying the partial expression: -39*(39*z**2 + 58)
Expanding the part (39*z**2 + 58) using the distributive property, and we got: (39*z**2)*(-39) + 58*(-39)
Replacing -39*(39*z**2 + 58) with (39*z**2)*(-39) + 58*(-39) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-18*z**2)*(39*z**2 + 58) + (39*z**2)*(-39) - 2262</replace>
Simplifying the partial expression: (-18*z**2)*(39*z**2 + 58)
Expanding the part (39*z**2 + 58) using the distributive property, and we got: 58*(-18*z**2) + (-18*z**2)*(39*z**2)
Replacing (-18*z**2)*(39*z**2 + 58) with 58*(-18*z**2) + (-18*z**2)*(39*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 58*(-18)*z**2 + (-18*z**2)*(39*z**2) + (39*z**2)*(-39) - 2262</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (39*z**2)*-39 = -1521*z**2
  (39*z**2)*(-18*z**2) = -702*z**4
  58*-18*z**2 = -1044*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -702*z**4 - 1521*z**2 - 1044*z**2 - 2262</replace>
Combining like terms, got -702*z**4 - 2565*z**2 - 2262
<replace-#Step 5>#Step 6:
Current expression: -702*z**4 - 2565*z**2 - 2262</replace>
No more calculations needed.
<answer>-702*z**4 - 2565*z**2 - 2262</answer>


Question:
Calculate the following: (-40*z**2 - 5)*(24*z**3 + 35*z - 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: -960*z**5 - 1520*z**3 + 400*z**2 - 175*z + 50

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: (-40*z**2 - 5)*(24*z**3 + 35*z - 10)
Expanding the part (-40*z**2 - 5) using the distributive property, and we got: (-40*z**2)*(24*z**3 + 35*z - 10) - 5*(24*z**3 + 35*z - 10)
<replace-#Step 1>#Step 2:
Current expression: (-40*z**2)*(24*z**3 + 35*z - 10) - 5*(24*z**3 + 35*z - 10)</replace>
Simplifying the partial expression: -5*(24*z**3 + 35*z - 10)
Expanding the part (24*z**3 + 35*z - 10) using the distributive property, and we got: (35*z)*(-5) + (24*z**3)*(-5) - 10*(-5)
Replacing -5*(24*z**3 + 35*z - 10) with (35*z)*(-5) + (24*z**3)*(-5) - 10*(-5) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (35*z)*(-5) + (-40*z**2)*(24*z**3 + 35*z - 10) + (24*z**3)*(-5) + 50</replace>
Simplifying the partial expression: (-40*z**2)*(24*z**3 + 35*z - 10)
Expanding the part (24*z**3 + 35*z - 10) using the distributive property, and we got: -(-1)*400*z**2 + (35*z)*(-40*z**2) + (-40*z**2)*(24*z**3)
Replacing (-40*z**2)*(24*z**3 + 35*z - 10) with -(-1)*400*z**2 + (35*z)*(-40*z**2) + (-40*z**2)*(24*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -10*(-40)*z**2 + (35*z)*(-40*z**2) + (35*z)*(-5) + (-40*z**2)*(24*z**3) + (24*z**3)*(-5) + 50</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (24*z**3)*-5 = -120*z**3
  (24*z**3)*(-40*z**2) = -960*z**5
  (35*z)*-5 = -175*z
  (35*z)*(-40*z**2) = -1400*z**3
  -10*-40*z**2 = 400*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -960*z**5 - 1400*z**3 - 120*z**3 + 400*z**2 - 175*z + 50</replace>
Combining like terms, got -960*z**5 - 1520*z**3 + 400*z**2 - 175*z + 50
<replace-#Step 5>#Step 6:
Current expression: -960*z**5 - 1520*z**3 + 400*z**2 - 175*z + 50</replace>
No more calculations needed.
<answer>-960*z**5 - 1520*z**3 + 400*z**2 - 175*z + 50</answer>


Question:
Simplify this expression: (35*z - 36)*(119*z**3 + 38*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: 4165*z**4 - 4284*z**3 + 1330*z**2 - 1368*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: (35*z - 36)*(119*z**3 + 38*z)
Expanding the part (35*z - 36) using the distributive property, and we got: (35*z)*(119*z**3 + 38*z) - 36*(119*z**3 + 38*z)
<replace-#Step 1>#Step 2:
Current expression: (35*z)*(119*z**3 + 38*z) - 36*(119*z**3 + 38*z)</replace>
Simplifying the partial expression: -36*(119*z**3 + 38*z)
Expanding the part (119*z**3 + 38*z) using the distributive property, and we got: (38*z)*(-36) + (119*z**3)*(-36)
Replacing -36*(119*z**3 + 38*z) with (38*z)*(-36) + (119*z**3)*(-36) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (35*z)*(119*z**3 + 38*z) + (38*z)*(-36) + (119*z**3)*(-36)</replace>
Simplifying the partial expression: (35*z)*(119*z**3 + 38*z)
Expanding the part (119*z**3 + 38*z) using the distributive property, and we got: (35*z)*(38*z) + (35*z)*(119*z**3)
Replacing (35*z)*(119*z**3 + 38*z) with (35*z)*(38*z) + (35*z)*(119*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (35*z)*(38*z) + (35*z)*(119*z**3) + (38*z)*(-36) + (119*z**3)*(-36)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (38*z)*-36 = -1368*z
  (38*z)*(35*z) = 1330*z**2
  (119*z**3)*-36 = -4284*z**3
  (119*z**3)*(35*z) = 4165*z**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 4165*z**4 - 4284*z**3 + 1330*z**2 - 1368*z</replace>
No more calculations needed.
<answer>4165*z**4 - 4284*z**3 + 1330*z**2 - 1368*z</answer>


Question:
Simplify this expression: -6*y**2*(-21*y**3 + 5*y**2 + 19)
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*y**5 - 30*y**4 - 114*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: -6*y**2*(-21*y**3 + 5*y**2 + 19)
Expanding the part (-21*y**3 + 5*y**2 + 19) using the distributive property, and we got: 19*(-6*y**2) + (-6*y**2)*(5*y**2) + (-6*y**2)*(-21*y**3)
<replace-#Step 1>#Step 2:
Current expression: 19*(-6*y**2) + (-6*y**2)*(5*y**2) + (-6*y**2)*(-21*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  19*(-6*y**2) = -114*y**2
  (-21*y**3)*(-6*y**2) = 126*y**5
  (5*y**2)*(-6*y**2) = -30*y**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 126*y**5 - 30*y**4 - 114*y**2</replace>
No more calculations needed.
<answer>126*y**5 - 30*y**4 - 114*y**2</answer>


Question:
Calculate the following: (29*z**2 + 19)*(33*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: 957*z**5 + 627*z**3 + 1015*z**2 + 665

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*z**2 + 19)*(33*z**3 + 35)
Expanding the part (29*z**2 + 19) using the distributive property, and we got: (29*z**2)*(33*z**3 + 35) + 19*(33*z**3 + 35)
<replace-#Step 1>#Step 2:
Current expression: (29*z**2)*(33*z**3 + 35) + 19*(33*z**3 + 35)</replace>
Simplifying the partial expression: 19*(33*z**3 + 35)
Expanding the part (33*z**3 + 35) using the distributive property, and we got: (33*z**3)*19 + 35*19
Replacing 19*(33*z**3 + 35) with (33*z**3)*19 + 35*19 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (29*z**2)*(33*z**3 + 35) + (33*z**3)*19 + 665</replace>
Simplifying the partial expression: (29*z**2)*(33*z**3 + 35)
Expanding the part (33*z**3 + 35) using the distributive property, and we got: 35*(29*z**2) + (29*z**2)*(33*z**3)
Replacing (29*z**2)*(33*z**3 + 35) with 35*(29*z**2) + (29*z**2)*(33*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 35*29*z**2 + (29*z**2)*(33*z**3) + (33*z**3)*19 + 665</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (33*z**3)*19 = 627*z**3
  (33*z**3)*(29*z**2) = 957*z**5
  35*29*z**2 = 1015*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 957*z**5 + 627*z**3 + 1015*z**2 + 665</replace>
No more calculations needed.
<answer>957*z**5 + 627*z**3 + 1015*z**2 + 665</answer>


Question:
Calculate the following: (-12*z**3 - 21*z - 21)*(-3*z**3 + 48*z**2 - 20*z + 1)
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: 36*z**6 - 576*z**5 + 303*z**4 - 957*z**3 - 588*z**2 + 399*z - 21


Question:
Simplify this expression: (-111*y**3 - 5)*(-y**2 + 22*y + 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: 111*y**5 - 2442*y**4 - 5439*y**3 + 5*y**2 - 110*y - 245

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: (-111*y**3 - 5)*(-y**2 + 22*y + 49)
Expanding the part (-111*y**3 - 5) using the distributive property, and we got: (-111*y**3)*(-y**2 + 22*y + 49) - 5*(-y**2 + 22*y + 49)
<replace-#Step 1>#Step 2:
Current expression: (-111*y**3)*(-y**2 + 22*y + 49) - 5*(-y**2 + 22*y + 49)</replace>
Simplifying the partial expression: -5*(-y**2 + 22*y + 49)
Expanding the part (-y**2 + 22*y + 49) using the distributive property, and we got: (22*y)*(-5) - y**2*(-5) + 49*(-5)
Replacing -5*(-y**2 + 22*y + 49) with (22*y)*(-5) - y**2*(-5) + 49*(-5) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (22*y)*(-5) - y**2*(-5) + (-111*y**3)*(-y**2 + 22*y + 49) - 245</replace>
Simplifying the partial expression: (-111*y**3)*(-y**2 + 22*y + 49)
Expanding the part (-y**2 + 22*y + 49) using the distributive property, and we got: 49*(-111*y**3) + (22*y)*(-111*y**3) + (-y**2)*(-111*y**3)
Replacing (-111*y**3)*(-y**2 + 22*y + 49) with 49*(-111*y**3) + (22*y)*(-111*y**3) + (-y**2)*(-111*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 49*(-111)*y**3 + (22*y)*(-111*y**3) + (22*y)*(-5) + (-y**2)*(-111*y**3) - y**2*(-5) - 245</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-y**2)*-5 = 5*y**2
  (-y**2)*(-111*y**3) = 111*y**5
  (22*y)*-5 = -110*y
  (22*y)*(-111*y**3) = -2442*y**4
  49*-111*y**3 = -5439*y**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 111*y**5 - 2442*y**4 - 5439*y**3 + 5*y**2 - 110*y - 245</replace>
No more calculations needed.
<answer>111*y**5 - 2442*y**4 - 5439*y**3 + 5*y**2 - 110*y - 245</answer>


Question:
Calculate the following: (2*z**2 - 48*z)*(9*z**3 - 39*z**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: 18*z**5 - 510*z**4 + 1872*z**3 + 12*z**2 - 288*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: (2*z**2 - 48*z)*(9*z**3 - 39*z**2 + 6)
Expanding the part (2*z**2 - 48*z) using the distributive property, and we got: (-48*z)*(9*z**3 - 39*z**2 + 6) + (2*z**2)*(9*z**3 - 39*z**2 + 6)
<replace-#Step 1>#Step 2:
Current expression: (-48*z)*(9*z**3 - 39*z**2 + 6) + (2*z**2)*(9*z**3 - 39*z**2 + 6)</replace>
Simplifying the partial expression: (-48*z)*(9*z**3 - 39*z**2 + 6)
Expanding the part (9*z**3 - 39*z**2 + 6) using the distributive property, and we got: (-48*z)*(-39*z**2) + (-48*z)*(9*z**3) + 6*(-48*z)
Replacing (-48*z)*(9*z**3 - 39*z**2 + 6) with (-48*z)*(-39*z**2) + (-48*z)*(9*z**3) + 6*(-48*z) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-48*z)*(-39*z**2) + (-48*z)*(9*z**3) + 6*(-48)*z + (2*z**2)*(9*z**3 - 39*z**2 + 6)</replace>
Simplifying the partial expression: (2*z**2)*(9*z**3 - 39*z**2 + 6)
Expanding the part (9*z**3 - 39*z**2 + 6) using the distributive property, and we got: 6*(2*z**2) + (-39*z**2)*(2*z**2) + (2*z**2)*(9*z**3)
Replacing (2*z**2)*(9*z**3 - 39*z**2 + 6) with 6*(2*z**2) + (-39*z**2)*(2*z**2) + (2*z**2)*(9*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-48*z)*(-39*z**2) + (-48*z)*(9*z**3) + 6*2*z**2 + 6*(-48)*z + (-39*z**2)*(2*z**2) + (2*z**2)*(9*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-39*z**2)*(-48*z) = 1872*z**3
  (-39*z**2)*(2*z**2) = -78*z**4
  (9*z**3)*(-48*z) = -432*z**4
  (9*z**3)*(2*z**2) = 18*z**5
  6*-48*z = -288*z
  6*2*z**2 = 12*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 18*z**5 - 432*z**4 - 78*z**4 + 1872*z**3 + 12*z**2 - 288*z</replace>
Combining like terms, got 18*z**5 - 510*z**4 + 1872*z**3 + 12*z**2 - 288*z
<replace-#Step 5>#Step 6:
Current expression: 18*z**5 - 510*z**4 + 1872*z**3 + 12*z**2 - 288*z</replace>
No more calculations needed.
<answer>18*z**5 - 510*z**4 + 1872*z**3 + 12*z**2 - 288*z</answer>


Question:
Calculate the following: (-49*x**2 + 5*x + 17)*(33*x**3 - 10*x**2 + 4*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: -1617*x**5 + 655*x**4 + 315*x**3 - 150*x**2 + 68*x


Question:
Simplify this expression: (3*z**3 + 62*z)*(9*z**3 - z - 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: 27*z**6 + 555*z**4 - 108*z**3 - 62*z**2 - 2232*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: (3*z**3 + 62*z)*(9*z**3 - z - 36)
Expanding the part (3*z**3 + 62*z) using the distributive property, and we got: (62*z)*(9*z**3 - z - 36) + (3*z**3)*(9*z**3 - z - 36)
<replace-#Step 1>#Step 2:
Current expression: (62*z)*(9*z**3 - z - 36) + (3*z**3)*(9*z**3 - z - 36)</replace>
Simplifying the partial expression: (3*z**3)*(9*z**3 - z - 36)
Expanding the part (9*z**3 - z - 36) using the distributive property, and we got: (-z)*(3*z**3) - 108*z**3 + (3*z**3)*(9*z**3)
Replacing (3*z**3)*(9*z**3 - z - 36) with (-z)*(3*z**3) - 108*z**3 + (3*z**3)*(9*z**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-z)*(3*z**3) - 36*3*z**3 + (62*z)*(9*z**3 - z - 36) + (3*z**3)*(9*z**3)</replace>
Simplifying the partial expression: (62*z)*(9*z**3 - z - 36)
Expanding the part (9*z**3 - z - 36) using the distributive property, and we got: (-z)*(62*z) - 2232*z + (62*z)*(9*z**3)
Replacing (62*z)*(9*z**3 - z - 36) with (-z)*(62*z) - 2232*z + (62*z)*(9*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-z)*(62*z) + (-z)*(3*z**3) - 36*3*z**3 - 36*62*z + (62*z)*(9*z**3) + (3*z**3)*(9*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-z)*(3*z**3) = -3*z**4
  (-z)*(62*z) = -62*z**2
  (9*z**3)*(3*z**3) = 27*z**6
  (9*z**3)*(62*z) = 558*z**4
  -36*3*z**3 = -108*z**3
  -36*62*z = -2232*z
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 27*z**6 - 3*z**4 + 558*z**4 - 108*z**3 - 62*z**2 - 2232*z</replace>
Combining like terms, got 27*z**6 + 555*z**4 - 108*z**3 - 62*z**2 - 2232*z
<replace-#Step 5>#Step 6:
Current expression: 27*z**6 + 555*z**4 - 108*z**3 - 62*z**2 - 2232*z</replace>
No more calculations needed.
<answer>27*z**6 + 555*z**4 - 108*z**3 - 62*z**2 - 2232*z</answer>


Question:
Calculate the following: (27*z**2 + 40)*(-29*z**3 + 70*z + 12)
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: -783*z**5 + 730*z**3 + 324*z**2 + 2800*z + 480

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: (27*z**2 + 40)*(-29*z**3 + 70*z + 12)
Expanding the part (27*z**2 + 40) using the distributive property, and we got: (27*z**2)*(-29*z**3 + 70*z + 12) + 40*(-29*z**3 + 70*z + 12)
<replace-#Step 1>#Step 2:
Current expression: (27*z**2)*(-29*z**3 + 70*z + 12) + 40*(-29*z**3 + 70*z + 12)</replace>
Simplifying the partial expression: 40*(-29*z**3 + 70*z + 12)
Expanding the part (-29*z**3 + 70*z + 12) using the distributive property, and we got: (70*z)*40 - 29*z**3*40 + 12*40
Replacing 40*(-29*z**3 + 70*z + 12) with (70*z)*40 - 29*z**3*40 + 12*40 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (70*z)*40 + (27*z**2)*(-29*z**3 + 70*z + 12) - 29*z**3*40 + 480</replace>
Simplifying the partial expression: (27*z**2)*(-29*z**3 + 70*z + 12)
Expanding the part (-29*z**3 + 70*z + 12) using the distributive property, and we got: 12*(27*z**2) + (70*z)*(27*z**2) + (27*z**2)*(-29*z**3)
Replacing (27*z**2)*(-29*z**3 + 70*z + 12) with 12*(27*z**2) + (70*z)*(27*z**2) + (27*z**2)*(-29*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 12*27*z**2 + (70*z)*(27*z**2) + (70*z)*40 + (27*z**2)*(-29*z**3) - 29*z**3*40 + 480</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-29*z**3)*40 = -1160*z**3
  (-29*z**3)*(27*z**2) = -783*z**5
  (70*z)*40 = 2800*z
  (70*z)*(27*z**2) = 1890*z**3
  12*27*z**2 = 324*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -783*z**5 - 1160*z**3 + 1890*z**3 + 324*z**2 + 2800*z + 480</replace>
Combining like terms, got -783*z**5 + 730*z**3 + 324*z**2 + 2800*z + 480
<replace-#Step 5>#Step 6:
Current expression: -783*z**5 + 730*z**3 + 324*z**2 + 2800*z + 480</replace>
No more calculations needed.
<answer>-783*z**5 + 730*z**3 + 324*z**2 + 2800*z + 480</answer>


Question:
Calculate the following: -99*x*(4 - 25*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: 2475*x**3 - 396*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: -99*x*(4 - 25*x**2)
Expanding the part (4 - 25*x**2) using the distributive property, and we got: (-99*x)*(-25*x**2) + 4*(-99*x)
<replace-#Step 1>#Step 2:
Current expression: (-99*x)*(-25*x**2) + 4*(-99*x)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  4*(-99*x) = -396*x
  (-25*x**2)*(-99*x) = 2475*x**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 2475*x**3 - 396*x</replace>
No more calculations needed.
<answer>2475*x**3 - 396*x</answer>


Question:
Simplify this expression: (7*z**2 - 33*z)*(26*z**3 - 10*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: 182*z**5 - 858*z**4 - 70*z**3 + 330*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: (7*z**2 - 33*z)*(26*z**3 - 10*z)
Expanding the part (7*z**2 - 33*z) using the distributive property, and we got: (-33*z)*(26*z**3 - 10*z) + (7*z**2)*(26*z**3 - 10*z)
<replace-#Step 1>#Step 2:
Current expression: (-33*z)*(26*z**3 - 10*z) + (7*z**2)*(26*z**3 - 10*z)</replace>
Simplifying the partial expression: (-33*z)*(26*z**3 - 10*z)
Expanding the part (26*z**3 - 10*z) using the distributive property, and we got: (-33*z)*(-10*z) + (-33*z)*(26*z**3)
Replacing (-33*z)*(26*z**3 - 10*z) with (-33*z)*(-10*z) + (-33*z)*(26*z**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-33*z)*(-10*z) + (-33*z)*(26*z**3) + (7*z**2)*(26*z**3 - 10*z)</replace>
Simplifying the partial expression: (7*z**2)*(26*z**3 - 10*z)
Expanding the part (26*z**3 - 10*z) using the distributive property, and we got: (-10*z)*(7*z**2) + (7*z**2)*(26*z**3)
Replacing (7*z**2)*(26*z**3 - 10*z) with (-10*z)*(7*z**2) + (7*z**2)*(26*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-33*z)*(-10*z) + (-33*z)*(26*z**3) + (-10*z)*(7*z**2) + (7*z**2)*(26*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-10*z)*(-33*z) = 330*z**2
  (-10*z)*(7*z**2) = -70*z**3
  (26*z**3)*(-33*z) = -858*z**4
  (26*z**3)*(7*z**2) = 182*z**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 182*z**5 - 858*z**4 - 70*z**3 + 330*z**2</replace>
No more calculations needed.
<answer>182*z**5 - 858*z**4 - 70*z**3 + 330*z**2</answer>


Question:
Simplify this expression: (46 - 33*z**2)*(-21*z**3 + 3*z**2 + 3*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: 693*z**5 - 99*z**4 - 1065*z**3 + 138*z**2 + 138*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: (46 - 33*z**2)*(-21*z**3 + 3*z**2 + 3*z)
Expanding the part (46 - 33*z**2) using the distributive property, and we got: (-33*z**2)*(-21*z**3 + 3*z**2 + 3*z) + 46*(-21*z**3 + 3*z**2 + 3*z)
<replace-#Step 1>#Step 2:
Current expression: (-33*z**2)*(-21*z**3 + 3*z**2 + 3*z) + 46*(-21*z**3 + 3*z**2 + 3*z)</replace>
Simplifying the partial expression: 46*(-21*z**3 + 3*z**2 + 3*z)
Expanding the part (-21*z**3 + 3*z**2 + 3*z) using the distributive property, and we got: (3*z)*46 + (3*z**2)*46 - 21*z**3*46
Replacing 46*(-21*z**3 + 3*z**2 + 3*z) with (3*z)*46 + (3*z**2)*46 - 21*z**3*46 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (3*z)*46 + (-33*z**2)*(-21*z**3 + 3*z**2 + 3*z) + (3*z**2)*46 - 21*z**3*46</replace>
Simplifying the partial expression: (-33*z**2)*(-21*z**3 + 3*z**2 + 3*z)
Expanding the part (-21*z**3 + 3*z**2 + 3*z) using the distributive property, and we got: (3*z)*(-33*z**2) + (-33*z**2)*(3*z**2) + (-33*z**2)*(-21*z**3)
Replacing (-33*z**2)*(-21*z**3 + 3*z**2 + 3*z) with (3*z)*(-33*z**2) + (-33*z**2)*(3*z**2) + (-33*z**2)*(-21*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (3*z)*(-33*z**2) + (3*z)*46 + (-33*z**2)*(3*z**2) + (-33*z**2)*(-21*z**3) + (3*z**2)*46 - 21*z**3*46</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-21*z**3)*46 = -966*z**3
  (-21*z**3)*(-33*z**2) = 693*z**5
  (3*z)*46 = 138*z
  (3*z)*(-33*z**2) = -99*z**3
  (3*z**2)*46 = 138*z**2
  (3*z**2)*(-33*z**2) = -99*z**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 693*z**5 - 99*z**4 - 966*z**3 - 99*z**3 + 138*z**2 + 138*z</replace>
Combining like terms, got 693*z**5 - 99*z**4 - 1065*z**3 + 138*z**2 + 138*z
<replace-#Step 5>#Step 6:
Current expression: 693*z**5 - 99*z**4 - 1065*z**3 + 138*z**2 + 138*z</replace>
No more calculations needed.
<answer>693*z**5 - 99*z**4 - 1065*z**3 + 138*z**2 + 138*z</answer>


Question:
Simplify this expression: -54*y**3*(15*y**3 + 12*y + 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: -810*y**6 - 648*y**4 - 1674*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: -54*y**3*(15*y**3 + 12*y + 31)
Expanding the part (15*y**3 + 12*y + 31) using the distributive property, and we got: 31*(-54*y**3) + (12*y)*(-54*y**3) + (-54*y**3)*(15*y**3)
<replace-#Step 1>#Step 2:
Current expression: 31*(-54*y**3) + (12*y)*(-54*y**3) + (-54*y**3)*(15*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  31*(-54*y**3) = -1674*y**3
  (12*y)*(-54*y**3) = -648*y**4
  (15*y**3)*(-54*y**3) = -810*y**6
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -810*y**6 - 648*y**4 - 1674*y**3</replace>
No more calculations needed.
<answer>-810*y**6 - 648*y**4 - 1674*y**3</answer>


Question:
Simplify this expression: (x + 8)*(-75*x**2 - 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: -75*x**3 - 600*x**2 - 3*x - 24

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: (x + 8)*(-75*x**2 - 3)
Expanding the part (-75*x**2 - 3) using the distributive property, and we got: (-75*x**2)*(x + 8) - 3*(x + 8)
<replace-#Step 1>#Step 2:
Current expression: (-75*x**2)*(x + 8) - 3*(x + 8)</replace>
Simplifying the partial expression: -3*(x + 8)
Expanding the part (x + 8) using the distributive property, and we got: x*(-3) + 8*(-3)
Replacing -3*(x + 8) with x*(-3) + 8*(-3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: x*(-3) + (-75*x**2)*(x + 8) - 24</replace>
Simplifying the partial expression: (-75*x**2)*(x + 8)
Expanding the part (x + 8) using the distributive property, and we got: 8*(-75*x**2) + x*(-75*x**2)
Replacing (-75*x**2)*(x + 8) with 8*(-75*x**2) + x*(-75*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 8*(-75)*x**2 + x*(-75*x**2) + x*(-3) - 24</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  x*-3 = -3*x
  x*(-75*x**2) = -75*x**3
  8*-75*x**2 = -600*x**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -75*x**3 - 600*x**2 - 3*x - 24</replace>
No more calculations needed.
<answer>-75*x**3 - 600*x**2 - 3*x - 24</answer>


Question:
Calculate the following: (-13*x**3 - 48)*(47*x**3 + 38*x**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: -611*x**6 - 494*x**5 - 2893*x**3 - 1824*x**2 - 2352


Question:
Simplify this expression: (1 - 2*z**3)*(-43*z**3 - 21*z**2 - 45*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: 86*z**6 + 42*z**5 + 90*z**4 - 43*z**3 - 21*z**2 - 45*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: (1 - 2*z**3)*(-43*z**3 - 21*z**2 - 45*z)
Expanding the part (1 - 2*z**3) using the distributive property, and we got: (-2*z**3)*(-43*z**3 - 21*z**2 - 45*z) + 1*(-43*z**3 - 21*z**2 - 45*z)
<replace-#Step 1>#Step 2:
Current expression: (-2*z**3)*(-43*z**3 - 21*z**2 - 45*z) + 1*(-43*z**3 - 21*z**2 - 45*z)</replace>
Simplifying the partial expression: 1*(-43*z**3 - 21*z**2 - 45*z)
Expanding the part (-43*z**3 - 21*z**2 - 45*z) using the distributive property, and we got: -45*z*1 - 21*z**2*1 - 43*z**3*1
Replacing 1*(-43*z**3 - 21*z**2 - 45*z) with -45*z*1 - 21*z**2*1 - 43*z**3*1 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -45*z*1 - 21*z**2*1 - 43*z**3*1 + (-2*z**3)*(-43*z**3 - 21*z**2 - 45*z)</replace>
Simplifying the partial expression: (-2*z**3)*(-43*z**3 - 21*z**2 - 45*z)
Expanding the part (-43*z**3 - 21*z**2 - 45*z) using the distributive property, and we got: (-45*z)*(-2*z**3) + (-21*z**2)*(-2*z**3) + (-43*z**3)*(-2*z**3)
Replacing (-2*z**3)*(-43*z**3 - 21*z**2 - 45*z) with (-45*z)*(-2*z**3) + (-21*z**2)*(-2*z**3) + (-43*z**3)*(-2*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-45*z)*(-2*z**3) - 45*z*1 + (-21*z**2)*(-2*z**3) - 21*z**2*1 + (-43*z**3)*(-2*z**3) - 43*z**3*1</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-45*z)*1 = -45*z
  (-45*z)*(-2*z**3) = 90*z**4
  (-43*z**3)*1 = -43*z**3
  (-43*z**3)*(-2*z**3) = 86*z**6
  (-21*z**2)*1 = -21*z**2
  (-21*z**2)*(-2*z**3) = 42*z**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 86*z**6 + 42*z**5 + 90*z**4 - 43*z**3 - 21*z**2 - 45*z</replace>
No more calculations needed.
<answer>86*z**6 + 42*z**5 + 90*z**4 - 43*z**3 - 21*z**2 - 45*z</answer>


Question:
Simplify this expression: 36*x**2*(-16*x**3 + 25*x**2 + 28*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: -576*x**5 + 900*x**4 + 1008*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: 36*x**2*(-16*x**3 + 25*x**2 + 28*x)
Expanding the part (-16*x**3 + 25*x**2 + 28*x) using the distributive property, and we got: (28*x)*(36*x**2) + (25*x**2)*(36*x**2) + (36*x**2)*(-16*x**3)
<replace-#Step 1>#Step 2:
Current expression: (28*x)*(36*x**2) + (25*x**2)*(36*x**2) + (36*x**2)*(-16*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-16*x**3)*(36*x**2) = -576*x**5
  (25*x**2)*(36*x**2) = 900*x**4
  (28*x)*(36*x**2) = 1008*x**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -576*x**5 + 900*x**4 + 1008*x**3</replace>
No more calculations needed.
<answer>-576*x**5 + 900*x**4 + 1008*x**3</answer>


Question:
Simplify this expression: (10*x + 55)*(98*x**3 + 16*x - 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: 980*x**4 + 5390*x**3 + 160*x**2 + 510*x - 2035

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: (10*x + 55)*(98*x**3 + 16*x - 37)
Expanding the part (10*x + 55) using the distributive property, and we got: (10*x)*(98*x**3 + 16*x - 37) + 55*(98*x**3 + 16*x - 37)
<replace-#Step 1>#Step 2:
Current expression: (10*x)*(98*x**3 + 16*x - 37) + 55*(98*x**3 + 16*x - 37)</replace>
Simplifying the partial expression: 55*(98*x**3 + 16*x - 37)
Expanding the part (98*x**3 + 16*x - 37) using the distributive property, and we got: (16*x)*55 + (98*x**3)*55 - 37*55
Replacing 55*(98*x**3 + 16*x - 37) with (16*x)*55 + (98*x**3)*55 - 37*55 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (10*x)*(98*x**3 + 16*x - 37) + (16*x)*55 + (98*x**3)*55 - 2035</replace>
Simplifying the partial expression: (10*x)*(98*x**3 + 16*x - 37)
Expanding the part (98*x**3 + 16*x - 37) using the distributive property, and we got: -370*x + (10*x)*(16*x) + (10*x)*(98*x**3)
Replacing (10*x)*(98*x**3 + 16*x - 37) with -370*x + (10*x)*(16*x) + (10*x)*(98*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -37*10*x + (10*x)*(16*x) + (10*x)*(98*x**3) + (16*x)*55 + (98*x**3)*55 - 2035</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (16*x)*55 = 880*x
  (16*x)*(10*x) = 160*x**2
  (98*x**3)*55 = 5390*x**3
  (98*x**3)*(10*x) = 980*x**4
  -37*10*x = -370*x
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 980*x**4 + 5390*x**3 + 160*x**2 - 370*x + 880*x - 2035</replace>
Combining like terms, got 980*x**4 + 5390*x**3 + 160*x**2 + 510*x - 2035
<replace-#Step 5>#Step 6:
Current expression: 980*x**4 + 5390*x**3 + 160*x**2 + 510*x - 2035</replace>
No more calculations needed.
<answer>980*x**4 + 5390*x**3 + 160*x**2 + 510*x - 2035</answer>


Question:
Calculate the following: -26*z*(-31*z**3 - 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: 806*z**4 + 78*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: -26*z*(-31*z**3 - 3)
Expanding the part (-31*z**3 - 3) using the distributive property, and we got: (-26*z)*(-31*z**3) - (-1)*78*z
<replace-#Step 1>#Step 2:
Current expression: (-26*z)*(-31*z**3) - (-1)*78*z</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -3*(-26*z) = 78*z
  (-31*z**3)*(-26*z) = 806*z**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 806*z**4 + 78*z</replace>
No more calculations needed.
<answer>806*z**4 + 78*z</answer>


Question:
Calculate the following: (19 - 39*x**3)*(94*x**2 + 7)
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: -3666*x**5 - 273*x**3 + 1786*x**2 + 133

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 - 39*x**3)*(94*x**2 + 7)
Expanding the part (94*x**2 + 7) using the distributive property, and we got: (94*x**2)*(19 - 39*x**3) + 7*(19 - 39*x**3)
<replace-#Step 1>#Step 2:
Current expression: (94*x**2)*(19 - 39*x**3) + 7*(19 - 39*x**3)</replace>
Simplifying the partial expression: 7*(19 - 39*x**3)
Expanding the part (19 - 39*x**3) using the distributive property, and we got: -39*x**3*7 + 19*7
Replacing 7*(19 - 39*x**3) with -39*x**3*7 + 19*7 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (94*x**2)*(19 - 39*x**3) - 39*x**3*7 + 133</replace>
Simplifying the partial expression: (94*x**2)*(19 - 39*x**3)
Expanding the part (19 - 39*x**3) using the distributive property, and we got: 19*(94*x**2) + (94*x**2)*(-39*x**3)
Replacing (94*x**2)*(19 - 39*x**3) with 19*(94*x**2) + (94*x**2)*(-39*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 19*94*x**2 + (94*x**2)*(-39*x**3) - 39*x**3*7 + 133</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-39*x**3)*7 = -273*x**3
  (-39*x**3)*(94*x**2) = -3666*x**5
  19*94*x**2 = 1786*x**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -3666*x**5 - 273*x**3 + 1786*x**2 + 133</replace>
No more calculations needed.
<answer>-3666*x**5 - 273*x**3 + 1786*x**2 + 133</answer>


Question:
Calculate the following: -580*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: -580*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: -580*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: -580*y**2</replace>
No more calculations needed.
<answer>-580*y**2</answer>


Question:
Simplify this expression: (6*x**3 + 28)*(15*x**3 - 19*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: 90*x**6 - 114*x**4 + 420*x**3 - 532*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: (6*x**3 + 28)*(15*x**3 - 19*x)
Expanding the part (6*x**3 + 28) using the distributive property, and we got: (6*x**3)*(15*x**3 - 19*x) + 28*(15*x**3 - 19*x)
<replace-#Step 1>#Step 2:
Current expression: (6*x**3)*(15*x**3 - 19*x) + 28*(15*x**3 - 19*x)</replace>
Simplifying the partial expression: 28*(15*x**3 - 19*x)
Expanding the part (15*x**3 - 19*x) using the distributive property, and we got: -19*x*28 + (15*x**3)*28
Replacing 28*(15*x**3 - 19*x) with -19*x*28 + (15*x**3)*28 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -19*x*28 + (6*x**3)*(15*x**3 - 19*x) + (15*x**3)*28</replace>
Simplifying the partial expression: (6*x**3)*(15*x**3 - 19*x)
Expanding the part (15*x**3 - 19*x) using the distributive property, and we got: (-19*x)*(6*x**3) + (6*x**3)*(15*x**3)
Replacing (6*x**3)*(15*x**3 - 19*x) with (-19*x)*(6*x**3) + (6*x**3)*(15*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-19*x)*(6*x**3) - 19*x*28 + (6*x**3)*(15*x**3) + (15*x**3)*28</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-19*x)*28 = -532*x
  (-19*x)*(6*x**3) = -114*x**4
  (15*x**3)*28 = 420*x**3
  (15*x**3)*(6*x**3) = 90*x**6
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 90*x**6 - 114*x**4 + 420*x**3 - 532*x</replace>
No more calculations needed.
<answer>90*x**6 - 114*x**4 + 420*x**3 - 532*x</answer>


Question:
Calculate the following: 43*x*(17 - 66*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: -2838*x**3 + 731*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: 43*x*(17 - 66*x**2)
Expanding the part (17 - 66*x**2) using the distributive property, and we got: 17*(43*x) + (43*x)*(-66*x**2)
<replace-#Step 1>#Step 2:
Current expression: 17*(43*x) + (43*x)*(-66*x**2)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  17*(43*x) = 731*x
  (-66*x**2)*(43*x) = -2838*x**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -2838*x**3 + 731*x</replace>
No more calculations needed.
<answer>-2838*x**3 + 731*x</answer>


Question:
Simplify this expression: (-33*x**3 - 26*x)*(32*x**3 - 19*x**2 + 42*x + 48)
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*x**6 + 627*x**5 - 2218*x**4 - 1090*x**3 - 1092*x**2 - 1248*x


Question:
Calculate the following: (14*x**2 + 47)*(49*x**3 + 8*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: 686*x**5 + 2415*x**3 - 42*x**2 + 376*x - 141

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*x**2 + 47)*(49*x**3 + 8*x - 3)
Expanding the part (14*x**2 + 47) using the distributive property, and we got: (14*x**2)*(49*x**3 + 8*x - 3) + 47*(49*x**3 + 8*x - 3)
<replace-#Step 1>#Step 2:
Current expression: (14*x**2)*(49*x**3 + 8*x - 3) + 47*(49*x**3 + 8*x - 3)</replace>
Simplifying the partial expression: 47*(49*x**3 + 8*x - 3)
Expanding the part (49*x**3 + 8*x - 3) using the distributive property, and we got: (8*x)*47 + (49*x**3)*47 - 3*47
Replacing 47*(49*x**3 + 8*x - 3) with (8*x)*47 + (49*x**3)*47 - 3*47 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (8*x)*47 + (14*x**2)*(49*x**3 + 8*x - 3) + (49*x**3)*47 - 141</replace>
Simplifying the partial expression: (14*x**2)*(49*x**3 + 8*x - 3)
Expanding the part (49*x**3 + 8*x - 3) using the distributive property, and we got: -42*x**2 + (8*x)*(14*x**2) + (14*x**2)*(49*x**3)
Replacing (14*x**2)*(49*x**3 + 8*x - 3) with -42*x**2 + (8*x)*(14*x**2) + (14*x**2)*(49*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -3*14*x**2 + (8*x)*(14*x**2) + (8*x)*47 + (14*x**2)*(49*x**3) + (49*x**3)*47 - 141</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (8*x)*47 = 376*x
  (8*x)*(14*x**2) = 112*x**3
  (49*x**3)*47 = 2303*x**3
  (49*x**3)*(14*x**2) = 686*x**5
  -3*14*x**2 = -42*x**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 686*x**5 + 112*x**3 + 2303*x**3 - 42*x**2 + 376*x - 141</replace>
Combining like terms, got 686*x**5 + 2415*x**3 - 42*x**2 + 376*x - 141
<replace-#Step 5>#Step 6:
Current expression: 686*x**5 + 2415*x**3 - 42*x**2 + 376*x - 141</replace>
No more calculations needed.
<answer>686*x**5 + 2415*x**3 - 42*x**2 + 376*x - 141</answer>


Question:
Calculate the following: (-19*x**3 - 34*x**2 + 25)*(38*x**3 + 34*x**2 + 29)
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: -722*x**6 - 1938*x**5 - 1156*x**4 + 399*x**3 - 136*x**2 + 725


Question:
Calculate the following: (-43*z**3 - 79)*(35*z**3 + 61*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: -1505*z**6 - 2623*z**4 - 2851*z**3 - 4819*z - 158

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: (-43*z**3 - 79)*(35*z**3 + 61*z + 2)
Expanding the part (-43*z**3 - 79) using the distributive property, and we got: (-43*z**3)*(35*z**3 + 61*z + 2) - 79*(35*z**3 + 61*z + 2)
<replace-#Step 1>#Step 2:
Current expression: (-43*z**3)*(35*z**3 + 61*z + 2) - 79*(35*z**3 + 61*z + 2)</replace>
Simplifying the partial expression: -79*(35*z**3 + 61*z + 2)
Expanding the part (35*z**3 + 61*z + 2) using the distributive property, and we got: (61*z)*(-79) + (35*z**3)*(-79) + 2*(-79)
Replacing -79*(35*z**3 + 61*z + 2) with (61*z)*(-79) + (35*z**3)*(-79) + 2*(-79) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (61*z)*(-79) + (-43*z**3)*(35*z**3 + 61*z + 2) + (35*z**3)*(-79) - 158</replace>
Simplifying the partial expression: (-43*z**3)*(35*z**3 + 61*z + 2)
Expanding the part (35*z**3 + 61*z + 2) using the distributive property, and we got: 2*(-43*z**3) + (61*z)*(-43*z**3) + (-43*z**3)*(35*z**3)
Replacing (-43*z**3)*(35*z**3 + 61*z + 2) with 2*(-43*z**3) + (61*z)*(-43*z**3) + (-43*z**3)*(35*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 2*(-43)*z**3 + (61*z)*(-43*z**3) + (61*z)*(-79) + (-43*z**3)*(35*z**3) + (35*z**3)*(-79) - 158</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (35*z**3)*-79 = -2765*z**3
  (35*z**3)*(-43*z**3) = -1505*z**6
  (61*z)*-79 = -4819*z
  (61*z)*(-43*z**3) = -2623*z**4
  2*-43*z**3 = -86*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1505*z**6 - 2623*z**4 - 2765*z**3 - 86*z**3 - 4819*z - 158</replace>
Combining like terms, got -1505*z**6 - 2623*z**4 - 2851*z**3 - 4819*z - 158
<replace-#Step 5>#Step 6:
Current expression: -1505*z**6 - 2623*z**4 - 2851*z**3 - 4819*z - 158</replace>
No more calculations needed.
<answer>-1505*z**6 - 2623*z**4 - 2851*z**3 - 4819*z - 158</answer>


Question:
Simplify this expression: (-34*y**2 - 13)*(-41*y**2 - 46*y + 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: 1394*y**4 + 1564*y**3 - 147*y**2 + 598*y - 260

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**2 - 13)*(-41*y**2 - 46*y + 20)
Expanding the part (-34*y**2 - 13) using the distributive property, and we got: (-34*y**2)*(-41*y**2 - 46*y + 20) - 13*(-41*y**2 - 46*y + 20)
<replace-#Step 1>#Step 2:
Current expression: (-34*y**2)*(-41*y**2 - 46*y + 20) - 13*(-41*y**2 - 46*y + 20)</replace>
Simplifying the partial expression: -13*(-41*y**2 - 46*y + 20)
Expanding the part (-41*y**2 - 46*y + 20) using the distributive property, and we got: -46*y*(-13) - 41*y**2*(-13) + 20*(-13)
Replacing -13*(-41*y**2 - 46*y + 20) with -46*y*(-13) - 41*y**2*(-13) + 20*(-13) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -46*y*(-13) - 41*y**2*(-13) + (-34*y**2)*(-41*y**2 - 46*y + 20) - 260</replace>
Simplifying the partial expression: (-34*y**2)*(-41*y**2 - 46*y + 20)
Expanding the part (-41*y**2 - 46*y + 20) using the distributive property, and we got: (-46*y)*(-34*y**2) + 20*(-34*y**2) + (-41*y**2)*(-34*y**2)
Replacing (-34*y**2)*(-41*y**2 - 46*y + 20) with (-46*y)*(-34*y**2) + 20*(-34*y**2) + (-41*y**2)*(-34*y**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-46*y)*(-34*y**2) - 46*y*(-13) + 20*(-34)*y**2 + (-41*y**2)*(-34*y**2) - 41*y**2*(-13) - 260</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-46*y)*-13 = 598*y
  (-46*y)*(-34*y**2) = 1564*y**3
  (-41*y**2)*-13 = 533*y**2
  (-41*y**2)*(-34*y**2) = 1394*y**4
  20*-34*y**2 = -680*y**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1394*y**4 + 1564*y**3 - 680*y**2 + 533*y**2 + 598*y - 260</replace>
Combining like terms, got 1394*y**4 + 1564*y**3 - 147*y**2 + 598*y - 260
<replace-#Step 5>#Step 6:
Current expression: 1394*y**4 + 1564*y**3 - 147*y**2 + 598*y - 260</replace>
No more calculations needed.
<answer>1394*y**4 + 1564*y**3 - 147*y**2 + 598*y - 260</answer>


Question:
Calculate the following: (-40*y - 35)*(-33*y**3 - 20*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: 1320*y**4 + 1955*y**3 + 700*y**2 + 1640*y + 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: (-40*y - 35)*(-33*y**3 - 20*y**2 - 41)
Expanding the part (-40*y - 35) using the distributive property, and we got: (-40*y)*(-33*y**3 - 20*y**2 - 41) - 35*(-33*y**3 - 20*y**2 - 41)
<replace-#Step 1>#Step 2:
Current expression: (-40*y)*(-33*y**3 - 20*y**2 - 41) - 35*(-33*y**3 - 20*y**2 - 41)</replace>
Simplifying the partial expression: -35*(-33*y**3 - 20*y**2 - 41)
Expanding the part (-33*y**3 - 20*y**2 - 41) using the distributive property, and we got: -20*y**2*(-35) - 33*y**3*(-35) - 41*(-35)
Replacing -35*(-33*y**3 - 20*y**2 - 41) with -20*y**2*(-35) - 33*y**3*(-35) - 41*(-35) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-40*y)*(-33*y**3 - 20*y**2 - 41) - 20*y**2*(-35) - 33*y**3*(-35) + 1435</replace>
Simplifying the partial expression: (-40*y)*(-33*y**3 - 20*y**2 - 41)
Expanding the part (-33*y**3 - 20*y**2 - 41) using the distributive property, and we got: (-40*y)*(-20*y**2) + (-40*y)*(-33*y**3) - (-1)*1640*y
Replacing (-40*y)*(-33*y**3 - 20*y**2 - 41) with (-40*y)*(-20*y**2) + (-40*y)*(-33*y**3) - (-1)*1640*y in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-40*y)*(-20*y**2) + (-40*y)*(-33*y**3) - 41*(-40)*y - 20*y**2*(-35) - 33*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:
  (-33*y**3)*-35 = 1155*y**3
  (-33*y**3)*(-40*y) = 1320*y**4
  (-20*y**2)*-35 = 700*y**2
  (-20*y**2)*(-40*y) = 800*y**3
  -41*-40*y = 1640*y
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1320*y**4 + 800*y**3 + 1155*y**3 + 700*y**2 + 1640*y + 1435</replace>
Combining like terms, got 1320*y**4 + 1955*y**3 + 700*y**2 + 1640*y + 1435
<replace-#Step 5>#Step 6:
Current expression: 1320*y**4 + 1955*y**3 + 700*y**2 + 1640*y + 1435</replace>
No more calculations needed.
<answer>1320*y**4 + 1955*y**3 + 700*y**2 + 1640*y + 1435</answer>


Question:
Calculate the following: (40*y**2 - 43*y)*(-31*y**3 + 41*y - 5)
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: -1240*y**5 + 1333*y**4 + 1640*y**3 - 1963*y**2 + 215*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: (40*y**2 - 43*y)*(-31*y**3 + 41*y - 5)
Expanding the part (40*y**2 - 43*y) using the distributive property, and we got: (-43*y)*(-31*y**3 + 41*y - 5) + (40*y**2)*(-31*y**3 + 41*y - 5)
<replace-#Step 1>#Step 2:
Current expression: (-43*y)*(-31*y**3 + 41*y - 5) + (40*y**2)*(-31*y**3 + 41*y - 5)</replace>
Simplifying the partial expression: (-43*y)*(-31*y**3 + 41*y - 5)
Expanding the part (-31*y**3 + 41*y - 5) using the distributive property, and we got: (-43*y)*(41*y) + (-43*y)*(-31*y**3) - (-1)*215*y
Replacing (-43*y)*(-31*y**3 + 41*y - 5) with (-43*y)*(41*y) + (-43*y)*(-31*y**3) - (-1)*215*y in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-43*y)*(41*y) + (-43*y)*(-31*y**3) - 5*(-43)*y + (40*y**2)*(-31*y**3 + 41*y - 5)</replace>
Simplifying the partial expression: (40*y**2)*(-31*y**3 + 41*y - 5)
Expanding the part (-31*y**3 + 41*y - 5) using the distributive property, and we got: -200*y**2 + (41*y)*(40*y**2) + (40*y**2)*(-31*y**3)
Replacing (40*y**2)*(-31*y**3 + 41*y - 5) with -200*y**2 + (41*y)*(40*y**2) + (40*y**2)*(-31*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-43*y)*(41*y) + (-43*y)*(-31*y**3) - 5*40*y**2 - 5*(-43)*y + (41*y)*(40*y**2) + (40*y**2)*(-31*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-31*y**3)*(-43*y) = 1333*y**4
  (-31*y**3)*(40*y**2) = -1240*y**5
  (41*y)*(-43*y) = -1763*y**2
  (41*y)*(40*y**2) = 1640*y**3
  -5*-43*y = 215*y
  -5*40*y**2 = -200*y**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1240*y**5 + 1333*y**4 + 1640*y**3 - 1763*y**2 - 200*y**2 + 215*y</replace>
Combining like terms, got -1240*y**5 + 1333*y**4 + 1640*y**3 - 1963*y**2 + 215*y
<replace-#Step 5>#Step 6:
Current expression: -1240*y**5 + 1333*y**4 + 1640*y**3 - 1963*y**2 + 215*y</replace>
No more calculations needed.
<answer>-1240*y**5 + 1333*y**4 + 1640*y**3 - 1963*y**2 + 215*y</answer>


Question:
Calculate the following: (47*y**2 + 19*y - 45)*(29*y**3 - 18*y**2 + 73*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: 1363*y**5 - 295*y**4 + 1784*y**3 + 2197*y**2 - 3285*y


Question:
Simplify this expression: (-31*z**2 + 13*z - 5)*(32*z**2 - 52*z - 40)
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: -992*z**4 + 2028*z**3 + 404*z**2 - 260*z + 200


Question:
Calculate the following: 53*z*(8*z**2 - 11*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: 424*z**3 - 583*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: 53*z*(8*z**2 - 11*z)
Expanding the part (8*z**2 - 11*z) using the distributive property, and we got: (-11*z)*(53*z) + (53*z)*(8*z**2)
<replace-#Step 1>#Step 2:
Current expression: (-11*z)*(53*z) + (53*z)*(8*z**2)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-11*z)*(53*z) = -583*z**2
  (8*z**2)*(53*z) = 424*z**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 424*z**3 - 583*z**2</replace>
No more calculations needed.
<answer>424*z**3 - 583*z**2</answer>


Question:
Simplify this expression: x*(52*x**3 + 19*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: 52*x**4 + 19*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: x*(52*x**3 + 19*x)
Expanding the part (52*x**3 + 19*x) using the distributive property, and we got: x*(19*x) + x*(52*x**3)
<replace-#Step 1>#Step 2:
Current expression: x*(19*x) + x*(52*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (19*x)*x = 19*x**2
  (52*x**3)*x = 52*x**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 52*x**4 + 19*x**2</replace>
No more calculations needed.
<answer>52*x**4 + 19*x**2</answer>


Question:
Calculate the following: (-30*z**3 - 30*z)*(-32*z**3 + 47*z + 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: 960*z**6 - 450*z**4 - 1470*z**3 - 1410*z**2 - 1470*z


Question:
Calculate the following: (z + 17)*(71*z**2 - 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: 71*z**3 + 1207*z**2 - 20*z - 340

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: (z + 17)*(71*z**2 - 20)
Expanding the part (71*z**2 - 20) using the distributive property, and we got: (71*z**2)*(z + 17) - 20*(z + 17)
<replace-#Step 1>#Step 2:
Current expression: (71*z**2)*(z + 17) - 20*(z + 17)</replace>
Simplifying the partial expression: -20*(z + 17)
Expanding the part (z + 17) using the distributive property, and we got: z*(-20) + 17*(-20)
Replacing -20*(z + 17) with z*(-20) + 17*(-20) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: z*(-20) + (71*z**2)*(z + 17) - 340</replace>
Simplifying the partial expression: (71*z**2)*(z + 17)
Expanding the part (z + 17) using the distributive property, and we got: 17*(71*z**2) + z*(71*z**2)
Replacing (71*z**2)*(z + 17) with 17*(71*z**2) + z*(71*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 17*71*z**2 + z*(71*z**2) + z*(-20) - 340</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  z*-20 = -20*z
  z*(71*z**2) = 71*z**3
  17*71*z**2 = 1207*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 71*z**3 + 1207*z**2 - 20*z - 340</replace>
No more calculations needed.
<answer>71*z**3 + 1207*z**2 - 20*z - 340</answer>


Question:
Simplify this expression: (3*y**3 - 59*y)*(15*y**3 + 18*y + 1)
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: 45*y**6 - 831*y**4 + 3*y**3 - 1062*y**2 - 59*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: (3*y**3 - 59*y)*(15*y**3 + 18*y + 1)
Expanding the part (3*y**3 - 59*y) using the distributive property, and we got: (-59*y)*(15*y**3 + 18*y + 1) + (3*y**3)*(15*y**3 + 18*y + 1)
<replace-#Step 1>#Step 2:
Current expression: (-59*y)*(15*y**3 + 18*y + 1) + (3*y**3)*(15*y**3 + 18*y + 1)</replace>
Simplifying the partial expression: (-59*y)*(15*y**3 + 18*y + 1)
Expanding the part (15*y**3 + 18*y + 1) using the distributive property, and we got: (-59*y)*(18*y) + (-59*y)*(15*y**3) + 1*(-59*y)
Replacing (-59*y)*(15*y**3 + 18*y + 1) with (-59*y)*(18*y) + (-59*y)*(15*y**3) + 1*(-59*y) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-59*y)*(18*y) + (-59*y)*(15*y**3) - 59*y + (3*y**3)*(15*y**3 + 18*y + 1)</replace>
Simplifying the partial expression: (3*y**3)*(15*y**3 + 18*y + 1)
Expanding the part (15*y**3 + 18*y + 1) using the distributive property, and we got: 1*(3*y**3) + (18*y)*(3*y**3) + (3*y**3)*(15*y**3)
Replacing (3*y**3)*(15*y**3 + 18*y + 1) with 1*(3*y**3) + (18*y)*(3*y**3) + (3*y**3)*(15*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-59*y)*(18*y) + (-59*y)*(15*y**3) + 3*y**3 - 59*y + (18*y)*(3*y**3) + (3*y**3)*(15*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (15*y**3)*(-59*y) = -885*y**4
  (15*y**3)*(3*y**3) = 45*y**6
  (18*y)*(-59*y) = -1062*y**2
  (18*y)*(3*y**3) = 54*y**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 45*y**6 - 885*y**4 + 54*y**4 + 3*y**3 - 1062*y**2 - 59*y</replace>
Combining like terms, got 45*y**6 - 831*y**4 + 3*y**3 - 1062*y**2 - 59*y
<replace-#Step 5>#Step 6:
Current expression: 45*y**6 - 831*y**4 + 3*y**3 - 1062*y**2 - 59*y</replace>
No more calculations needed.
<answer>45*y**6 - 831*y**4 + 3*y**3 - 1062*y**2 - 59*y</answer>


Question:
Calculate the following: (34 - 2*y**3)*(-59*y**3 - 19*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: 118*y**6 + 38*y**5 - 34*y**4 - 2006*y**3 - 646*y**2 + 578*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: (34 - 2*y**3)*(-59*y**3 - 19*y**2 + 17*y)
Expanding the part (34 - 2*y**3) using the distributive property, and we got: (-2*y**3)*(-59*y**3 - 19*y**2 + 17*y) + 34*(-59*y**3 - 19*y**2 + 17*y)
<replace-#Step 1>#Step 2:
Current expression: (-2*y**3)*(-59*y**3 - 19*y**2 + 17*y) + 34*(-59*y**3 - 19*y**2 + 17*y)</replace>
Simplifying the partial expression: 34*(-59*y**3 - 19*y**2 + 17*y)
Expanding the part (-59*y**3 - 19*y**2 + 17*y) using the distributive property, and we got: (17*y)*34 - 19*y**2*34 - 59*y**3*34
Replacing 34*(-59*y**3 - 19*y**2 + 17*y) with (17*y)*34 - 19*y**2*34 - 59*y**3*34 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (17*y)*34 - 19*y**2*34 - 59*y**3*34 + (-2*y**3)*(-59*y**3 - 19*y**2 + 17*y)</replace>
Simplifying the partial expression: (-2*y**3)*(-59*y**3 - 19*y**2 + 17*y)
Expanding the part (-59*y**3 - 19*y**2 + 17*y) using the distributive property, and we got: (17*y)*(-2*y**3) + (-19*y**2)*(-2*y**3) + (-59*y**3)*(-2*y**3)
Replacing (-2*y**3)*(-59*y**3 - 19*y**2 + 17*y) with (17*y)*(-2*y**3) + (-19*y**2)*(-2*y**3) + (-59*y**3)*(-2*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (17*y)*(-2*y**3) + (17*y)*34 + (-19*y**2)*(-2*y**3) - 19*y**2*34 + (-59*y**3)*(-2*y**3) - 59*y**3*34</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-59*y**3)*34 = -2006*y**3
  (-59*y**3)*(-2*y**3) = 118*y**6
  (-19*y**2)*34 = -646*y**2
  (-19*y**2)*(-2*y**3) = 38*y**5
  (17*y)*34 = 578*y
  (17*y)*(-2*y**3) = -34*y**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 118*y**6 + 38*y**5 - 34*y**4 - 2006*y**3 - 646*y**2 + 578*y</replace>
No more calculations needed.
<answer>118*y**6 + 38*y**5 - 34*y**4 - 2006*y**3 - 646*y**2 + 578*y</answer>


Question:
Calculate the following: (-13*z - 20)*(41*z**3 - 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: -533*z**4 - 820*z**3 + 377*z**2 + 580*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: (-13*z - 20)*(41*z**3 - 29*z)
Expanding the part (-13*z - 20) using the distributive property, and we got: (-13*z)*(41*z**3 - 29*z) - 20*(41*z**3 - 29*z)
<replace-#Step 1>#Step 2:
Current expression: (-13*z)*(41*z**3 - 29*z) - 20*(41*z**3 - 29*z)</replace>
Simplifying the partial expression: -20*(41*z**3 - 29*z)
Expanding the part (41*z**3 - 29*z) using the distributive property, and we got: -29*z*(-20) + (41*z**3)*(-20)
Replacing -20*(41*z**3 - 29*z) with -29*z*(-20) + (41*z**3)*(-20) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -29*z*(-20) + (-13*z)*(41*z**3 - 29*z) + (41*z**3)*(-20)</replace>
Simplifying the partial expression: (-13*z)*(41*z**3 - 29*z)
Expanding the part (41*z**3 - 29*z) using the distributive property, and we got: (-29*z)*(-13*z) + (-13*z)*(41*z**3)
Replacing (-13*z)*(41*z**3 - 29*z) with (-29*z)*(-13*z) + (-13*z)*(41*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-29*z)*(-13*z) - 29*z*(-20) + (-13*z)*(41*z**3) + (41*z**3)*(-20)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-29*z)*-20 = 580*z
  (-29*z)*(-13*z) = 377*z**2
  (41*z**3)*-20 = -820*z**3
  (41*z**3)*(-13*z) = -533*z**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -533*z**4 - 820*z**3 + 377*z**2 + 580*z</replace>
No more calculations needed.
<answer>-533*z**4 - 820*z**3 + 377*z**2 + 580*z</answer>


Question:
Calculate the following: (-35*z**2 + 53*z)*(-69*z**3 - 11*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: 2415*z**5 - 3657*z**4 + 385*z**3 - 583*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: (-35*z**2 + 53*z)*(-69*z**3 - 11*z)
Expanding the part (-69*z**3 - 11*z) using the distributive property, and we got: (-11*z)*(-35*z**2 + 53*z) + (-69*z**3)*(-35*z**2 + 53*z)
<replace-#Step 1>#Step 2:
Current expression: (-11*z)*(-35*z**2 + 53*z) + (-69*z**3)*(-35*z**2 + 53*z)</replace>
Simplifying the partial expression: (-69*z**3)*(-35*z**2 + 53*z)
Expanding the part (-35*z**2 + 53*z) using the distributive property, and we got: (53*z)*(-69*z**3) + (-35*z**2)*(-69*z**3)
Replacing (-69*z**3)*(-35*z**2 + 53*z) with (53*z)*(-69*z**3) + (-35*z**2)*(-69*z**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-11*z)*(-35*z**2 + 53*z) + (53*z)*(-69*z**3) + (-35*z**2)*(-69*z**3)</replace>
Simplifying the partial expression: (-11*z)*(-35*z**2 + 53*z)
Expanding the part (-35*z**2 + 53*z) using the distributive property, and we got: (-11*z)*(53*z) + (-11*z)*(-35*z**2)
Replacing (-11*z)*(-35*z**2 + 53*z) with (-11*z)*(53*z) + (-11*z)*(-35*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-11*z)*(53*z) + (-11*z)*(-35*z**2) + (53*z)*(-69*z**3) + (-35*z**2)*(-69*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-35*z**2)*(-69*z**3) = 2415*z**5
  (-35*z**2)*(-11*z) = 385*z**3
  (53*z)*(-69*z**3) = -3657*z**4
  (53*z)*(-11*z) = -583*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 2415*z**5 - 3657*z**4 + 385*z**3 - 583*z**2</replace>
No more calculations needed.
<answer>2415*z**5 - 3657*z**4 + 385*z**3 - 583*z**2</answer>


Question:
Simplify this expression: (4*x**3 - 48*x**2)*(22*x**3 - 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: 88*x**6 - 1056*x**5 - 36*x**3 + 432*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: (4*x**3 - 48*x**2)*(22*x**3 - 9)
Expanding the part (22*x**3 - 9) using the distributive property, and we got: (22*x**3)*(4*x**3 - 48*x**2) - 9*(4*x**3 - 48*x**2)
<replace-#Step 1>#Step 2:
Current expression: (22*x**3)*(4*x**3 - 48*x**2) - 9*(4*x**3 - 48*x**2)</replace>
Simplifying the partial expression: -9*(4*x**3 - 48*x**2)
Expanding the part (4*x**3 - 48*x**2) using the distributive property, and we got: -48*x**2*(-9) + (4*x**3)*(-9)
Replacing -9*(4*x**3 - 48*x**2) with -48*x**2*(-9) + (4*x**3)*(-9) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -48*x**2*(-9) + (4*x**3)*(-9) + (22*x**3)*(4*x**3 - 48*x**2)</replace>
Simplifying the partial expression: (22*x**3)*(4*x**3 - 48*x**2)
Expanding the part (4*x**3 - 48*x**2) using the distributive property, and we got: (-48*x**2)*(22*x**3) + (4*x**3)*(22*x**3)
Replacing (22*x**3)*(4*x**3 - 48*x**2) with (-48*x**2)*(22*x**3) + (4*x**3)*(22*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-48*x**2)*(22*x**3) - 48*x**2*(-9) + (4*x**3)*(22*x**3) + (4*x**3)*(-9)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-48*x**2)*-9 = 432*x**2
  (-48*x**2)*(22*x**3) = -1056*x**5
  (4*x**3)*-9 = -36*x**3
  (4*x**3)*(22*x**3) = 88*x**6
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 88*x**6 - 1056*x**5 - 36*x**3 + 432*x**2</replace>
No more calculations needed.
<answer>88*x**6 - 1056*x**5 - 36*x**3 + 432*x**2</answer>


Question:
Simplify this expression: (19*z - 24)*(37*z**2 - 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: 703*z**3 - 888*z**2 - 247*z + 312

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*z - 24)*(37*z**2 - 13)
Expanding the part (19*z - 24) using the distributive property, and we got: (19*z)*(37*z**2 - 13) - 24*(37*z**2 - 13)
<replace-#Step 1>#Step 2:
Current expression: (19*z)*(37*z**2 - 13) - 24*(37*z**2 - 13)</replace>
Simplifying the partial expression: -24*(37*z**2 - 13)
Expanding the part (37*z**2 - 13) using the distributive property, and we got: (37*z**2)*(-24) - 13*(-24)
Replacing -24*(37*z**2 - 13) with (37*z**2)*(-24) - 13*(-24) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (19*z)*(37*z**2 - 13) + (37*z**2)*(-24) + 312</replace>
Simplifying the partial expression: (19*z)*(37*z**2 - 13)
Expanding the part (37*z**2 - 13) using the distributive property, and we got: -247*z + (19*z)*(37*z**2)
Replacing (19*z)*(37*z**2 - 13) with -247*z + (19*z)*(37*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -13*19*z + (19*z)*(37*z**2) + (37*z**2)*(-24) + 312</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (37*z**2)*-24 = -888*z**2
  (37*z**2)*(19*z) = 703*z**3
  -13*19*z = -247*z
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 703*z**3 - 888*z**2 - 247*z + 312</replace>
No more calculations needed.
<answer>703*z**3 - 888*z**2 - 247*z + 312</answer>


Question:
Calculate the following: -48*x*(47*x**3 - 40)
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: -2256*x**4 + 1920*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: -48*x*(47*x**3 - 40)
Expanding the part (47*x**3 - 40) using the distributive property, and we got: (-48*x)*(47*x**3) - (-1)*1920*x
<replace-#Step 1>#Step 2:
Current expression: (-48*x)*(47*x**3) - (-1)*1920*x</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -40*(-48*x) = 1920*x
  (47*x**3)*(-48*x) = -2256*x**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -2256*x**4 + 1920*x</replace>
No more calculations needed.
<answer>-2256*x**4 + 1920*x</answer>


Question:
Calculate the following: (50*y + 38)*(-23*y**3 - y**2 - 10*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: -1150*y**4 - 924*y**3 - 538*y**2 - 380*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: (50*y + 38)*(-23*y**3 - y**2 - 10*y)
Expanding the part (50*y + 38) using the distributive property, and we got: (50*y)*(-23*y**3 - y**2 - 10*y) + 38*(-23*y**3 - y**2 - 10*y)
<replace-#Step 1>#Step 2:
Current expression: (50*y)*(-23*y**3 - y**2 - 10*y) + 38*(-23*y**3 - y**2 - 10*y)</replace>
Simplifying the partial expression: 38*(-23*y**3 - y**2 - 10*y)
Expanding the part (-23*y**3 - y**2 - 10*y) using the distributive property, and we got: -10*y*38 - y**2*38 - 23*y**3*38
Replacing 38*(-23*y**3 - y**2 - 10*y) with -10*y*38 - y**2*38 - 23*y**3*38 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -10*y*38 + (50*y)*(-23*y**3 - y**2 - 10*y) - y**2*38 - 23*y**3*38</replace>
Simplifying the partial expression: (50*y)*(-23*y**3 - y**2 - 10*y)
Expanding the part (-23*y**3 - y**2 - 10*y) using the distributive property, and we got: (-10*y)*(50*y) + (50*y)*(-y**2) + (50*y)*(-23*y**3)
Replacing (50*y)*(-23*y**3 - y**2 - 10*y) with (-10*y)*(50*y) + (50*y)*(-y**2) + (50*y)*(-23*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-10*y)*(50*y) - 10*y*38 + (50*y)*(-y**2) + (50*y)*(-23*y**3) - y**2*38 - 23*y**3*38</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-y**2)*38 = -38*y**2
  (-y**2)*(50*y) = -50*y**3
  (-23*y**3)*38 = -874*y**3
  (-23*y**3)*(50*y) = -1150*y**4
  (-10*y)*38 = -380*y
  (-10*y)*(50*y) = -500*y**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1150*y**4 - 874*y**3 - 50*y**3 - 500*y**2 - 38*y**2 - 380*y</replace>
Combining like terms, got -1150*y**4 - 924*y**3 - 538*y**2 - 380*y
<replace-#Step 5>#Step 6:
Current expression: -1150*y**4 - 924*y**3 - 538*y**2 - 380*y</replace>
No more calculations needed.
<answer>-1150*y**4 - 924*y**3 - 538*y**2 - 380*y</answer>


Question:
Calculate the following: (42*z**3 + 48)*(-28*z**3 - 11*z**2 - 30)
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: -1176*z**6 - 462*z**5 - 2604*z**3 - 528*z**2 - 1440

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: (42*z**3 + 48)*(-28*z**3 - 11*z**2 - 30)
Expanding the part (42*z**3 + 48) using the distributive property, and we got: (42*z**3)*(-28*z**3 - 11*z**2 - 30) + 48*(-28*z**3 - 11*z**2 - 30)
<replace-#Step 1>#Step 2:
Current expression: (42*z**3)*(-28*z**3 - 11*z**2 - 30) + 48*(-28*z**3 - 11*z**2 - 30)</replace>
Simplifying the partial expression: 48*(-28*z**3 - 11*z**2 - 30)
Expanding the part (-28*z**3 - 11*z**2 - 30) using the distributive property, and we got: -11*z**2*48 - 28*z**3*48 - 30*48
Replacing 48*(-28*z**3 - 11*z**2 - 30) with -11*z**2*48 - 28*z**3*48 - 30*48 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -11*z**2*48 - 28*z**3*48 + (42*z**3)*(-28*z**3 - 11*z**2 - 30) - 1440</replace>
Simplifying the partial expression: (42*z**3)*(-28*z**3 - 11*z**2 - 30)
Expanding the part (-28*z**3 - 11*z**2 - 30) using the distributive property, and we got: -1260*z**3 + (-11*z**2)*(42*z**3) + (-28*z**3)*(42*z**3)
Replacing (42*z**3)*(-28*z**3 - 11*z**2 - 30) with -1260*z**3 + (-11*z**2)*(42*z**3) + (-28*z**3)*(42*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -30*42*z**3 + (-11*z**2)*(42*z**3) - 11*z**2*48 + (-28*z**3)*(42*z**3) - 28*z**3*48 - 1440</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-28*z**3)*48 = -1344*z**3
  (-28*z**3)*(42*z**3) = -1176*z**6
  (-11*z**2)*48 = -528*z**2
  (-11*z**2)*(42*z**3) = -462*z**5
  -30*42*z**3 = -1260*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1176*z**6 - 462*z**5 - 1344*z**3 - 1260*z**3 - 528*z**2 - 1440</replace>
Combining like terms, got -1176*z**6 - 462*z**5 - 2604*z**3 - 528*z**2 - 1440
<replace-#Step 5>#Step 6:
Current expression: -1176*z**6 - 462*z**5 - 2604*z**3 - 528*z**2 - 1440</replace>
No more calculations needed.
<answer>-1176*z**6 - 462*z**5 - 2604*z**3 - 528*z**2 - 1440</answer>


Question:
Calculate the following: 49*z**2*(2*z**3 + 37*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: 98*z**5 + 1813*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: 49*z**2*(2*z**3 + 37*z)
Expanding the part (2*z**3 + 37*z) using the distributive property, and we got: (37*z)*(49*z**2) + (49*z**2)*(2*z**3)
<replace-#Step 1>#Step 2:
Current expression: (37*z)*(49*z**2) + (49*z**2)*(2*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (2*z**3)*(49*z**2) = 98*z**5
  (37*z)*(49*z**2) = 1813*z**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 98*z**5 + 1813*z**3</replace>
No more calculations needed.
<answer>98*z**5 + 1813*z**3</answer>


Question:
Calculate the following: (-38*x**3 + 2*x**2 + 25)*(20*x**3 - 22*x**2 + 46*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: -760*x**6 + 876*x**5 - 1792*x**4 + 592*x**3 - 550*x**2 + 1150*x


Question:
Simplify this expression: (12*z + 51)*(64*z**2 - 11*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: 768*z**3 + 3132*z**2 - 561*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: (12*z + 51)*(64*z**2 - 11*z)
Expanding the part (12*z + 51) using the distributive property, and we got: (12*z)*(64*z**2 - 11*z) + 51*(64*z**2 - 11*z)
<replace-#Step 1>#Step 2:
Current expression: (12*z)*(64*z**2 - 11*z) + 51*(64*z**2 - 11*z)</replace>
Simplifying the partial expression: 51*(64*z**2 - 11*z)
Expanding the part (64*z**2 - 11*z) using the distributive property, and we got: -11*z*51 + (64*z**2)*51
Replacing 51*(64*z**2 - 11*z) with -11*z*51 + (64*z**2)*51 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -11*z*51 + (12*z)*(64*z**2 - 11*z) + (64*z**2)*51</replace>
Simplifying the partial expression: (12*z)*(64*z**2 - 11*z)
Expanding the part (64*z**2 - 11*z) using the distributive property, and we got: (-11*z)*(12*z) + (12*z)*(64*z**2)
Replacing (12*z)*(64*z**2 - 11*z) with (-11*z)*(12*z) + (12*z)*(64*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-11*z)*(12*z) - 11*z*51 + (12*z)*(64*z**2) + (64*z**2)*51</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-11*z)*51 = -561*z
  (-11*z)*(12*z) = -132*z**2
  (64*z**2)*51 = 3264*z**2
  (64*z**2)*(12*z) = 768*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 768*z**3 - 132*z**2 + 3264*z**2 - 561*z</replace>
Combining like terms, got 768*z**3 + 3132*z**2 - 561*z
<replace-#Step 5>#Step 6:
Current expression: 768*z**3 + 3132*z**2 - 561*z</replace>
No more calculations needed.
<answer>768*z**3 + 3132*z**2 - 561*z</answer>


Question:
Calculate the following: (-42*y**3 - y)*(-28*y**3 - 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: 1176*y**6 + 28*y**4 + 1344*y**3 + 32*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: (-42*y**3 - y)*(-28*y**3 - 32)
Expanding the part (-28*y**3 - 32) using the distributive property, and we got: (-28*y**3)*(-42*y**3 - y) - 32*(-42*y**3 - y)
<replace-#Step 1>#Step 2:
Current expression: (-28*y**3)*(-42*y**3 - y) - 32*(-42*y**3 - y)</replace>
Simplifying the partial expression: -32*(-42*y**3 - y)
Expanding the part (-42*y**3 - y) using the distributive property, and we got: -y*(-32) - 42*y**3*(-32)
Replacing -32*(-42*y**3 - y) with -y*(-32) - 42*y**3*(-32) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -y*(-32) - 42*y**3*(-32) + (-28*y**3)*(-42*y**3 - y)</replace>
Simplifying the partial expression: (-28*y**3)*(-42*y**3 - y)
Expanding the part (-42*y**3 - y) using the distributive property, and we got: (-y)*(-28*y**3) + (-42*y**3)*(-28*y**3)
Replacing (-28*y**3)*(-42*y**3 - y) with (-y)*(-28*y**3) + (-42*y**3)*(-28*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-y)*(-28*y**3) - y*(-32) + (-42*y**3)*(-28*y**3) - 42*y**3*(-32)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-y)*-32 = 32*y
  (-y)*(-28*y**3) = 28*y**4
  (-42*y**3)*-32 = 1344*y**3
  (-42*y**3)*(-28*y**3) = 1176*y**6
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1176*y**6 + 28*y**4 + 1344*y**3 + 32*y</replace>
No more calculations needed.
<answer>1176*y**6 + 28*y**4 + 1344*y**3 + 32*y</answer>


Question:
Simplify this expression: -6*z**3*(-36*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: 216*z**5 + 174*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: -6*z**3*(-36*z**2 - 29*z)
Expanding the part (-36*z**2 - 29*z) using the distributive property, and we got: (-29*z)*(-6*z**3) + (-36*z**2)*(-6*z**3)
<replace-#Step 1>#Step 2:
Current expression: (-29*z)*(-6*z**3) + (-36*z**2)*(-6*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-36*z**2)*(-6*z**3) = 216*z**5
  (-29*z)*(-6*z**3) = 174*z**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 216*z**5 + 174*z**4</replace>
No more calculations needed.
<answer>216*z**5 + 174*z**4</answer>


Question:
Calculate the following: -59*x**2*(-40*x**2 - 46*x + 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: 2360*x**4 + 2714*x**3 - 2714*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: -59*x**2*(-40*x**2 - 46*x + 46)
Expanding the part (-40*x**2 - 46*x + 46) using the distributive property, and we got: (-46*x)*(-59*x**2) + 46*(-59*x**2) + (-59*x**2)*(-40*x**2)
<replace-#Step 1>#Step 2:
Current expression: (-46*x)*(-59*x**2) + 46*(-59*x**2) + (-59*x**2)*(-40*x**2)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  46*(-59*x**2) = -2714*x**2
  (-46*x)*(-59*x**2) = 2714*x**3
  (-40*x**2)*(-59*x**2) = 2360*x**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 2360*x**4 + 2714*x**3 - 2714*x**2</replace>
No more calculations needed.
<answer>2360*x**4 + 2714*x**3 - 2714*x**2</answer>