Question:
Simplify this expression: (32*z**2 - 10)*(-24*z**2 + 20*z + 11)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -768*z**4 + 640*z**3 + 592*z**2 - 200*z - 110

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: (32*z**2 - 10)*(-24*z**2 + 20*z + 11)
Expanding the part (32*z**2 - 10) using the distributive property, and we got: (32*z**2)*(-24*z**2 + 20*z + 11) - 10*(-24*z**2 + 20*z + 11)
<replace-#Step 1>#Step 2:
Current expression: (32*z**2)*(-24*z**2 + 20*z + 11) - 10*(-24*z**2 + 20*z + 11)</replace>
Simplifying the partial expression: -10*(-24*z**2 + 20*z + 11)
Expanding the part (-24*z**2 + 20*z + 11) using the distributive property, and we got: (20*z)*(-10) - 24*z**2*(-10) + 11*(-10)
Replacing -10*(-24*z**2 + 20*z + 11) with (20*z)*(-10) - 24*z**2*(-10) + 11*(-10) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (20*z)*(-10) - 24*z**2*(-10) + (32*z**2)*(-24*z**2 + 20*z + 11) - 110</replace>
Simplifying the partial expression: (32*z**2)*(-24*z**2 + 20*z + 11)
Expanding the part (-24*z**2 + 20*z + 11) using the distributive property, and we got: 11*(32*z**2) + (20*z)*(32*z**2) + (-24*z**2)*(32*z**2)
Replacing (32*z**2)*(-24*z**2 + 20*z + 11) with 11*(32*z**2) + (20*z)*(32*z**2) + (-24*z**2)*(32*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 11*32*z**2 + (20*z)*(32*z**2) + (20*z)*(-10) + (-24*z**2)*(32*z**2) - 24*z**2*(-10) - 110</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-24*z**2)*-10 = 240*z**2
  (-24*z**2)*(32*z**2) = -768*z**4
  (20*z)*-10 = -200*z
  (20*z)*(32*z**2) = 640*z**3
  11*32*z**2 = 352*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -768*z**4 + 640*z**3 + 240*z**2 + 352*z**2 - 200*z - 110</replace>
Combining like terms, got -768*z**4 + 640*z**3 + 592*z**2 - 200*z - 110
<replace-#Step 5>#Step 6:
Current expression: -768*z**4 + 640*z**3 + 592*z**2 - 200*z - 110</replace>
No more calculations needed.
<answer>-768*z**4 + 640*z**3 + 592*z**2 - 200*z - 110</answer>


Question:
Calculate the following: (8*y + 37)*(2*y**2 - 28)
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: 16*y**3 + 74*y**2 - 224*y - 1036

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (8*y + 37)*(2*y**2 - 28)
Expanding the part (2*y**2 - 28) using the distributive property, and we got: (2*y**2)*(8*y + 37) - 28*(8*y + 37)
<replace-#Step 1>#Step 2:
Current expression: (2*y**2)*(8*y + 37) - 28*(8*y + 37)</replace>
Simplifying the partial expression: -28*(8*y + 37)
Expanding the part (8*y + 37) using the distributive property, and we got: (8*y)*(-28) + 37*(-28)
Replacing -28*(8*y + 37) with (8*y)*(-28) + 37*(-28) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (8*y)*(-28) + (2*y**2)*(8*y + 37) - 1036</replace>
Simplifying the partial expression: (2*y**2)*(8*y + 37)
Expanding the part (8*y + 37) using the distributive property, and we got: 37*(2*y**2) + (8*y)*(2*y**2)
Replacing (2*y**2)*(8*y + 37) with 37*(2*y**2) + (8*y)*(2*y**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 37*2*y**2 + (8*y)*(2*y**2) + (8*y)*(-28) - 1036</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (8*y)*-28 = -224*y
  (8*y)*(2*y**2) = 16*y**3
  37*2*y**2 = 74*y**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 16*y**3 + 74*y**2 - 224*y - 1036</replace>
No more calculations needed.
<answer>16*y**3 + 74*y**2 - 224*y - 1036</answer>


Question:
Simplify this expression: (38*z**2 - 30*z)*(-30*z**3 - 6*z**2 + 22*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: -1140*z**5 + 672*z**4 + 1016*z**3 - 660*z**2


Question:
Calculate the following: -34*y**2*(50*y**3 - 58)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1700*y**5 + 1972*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: -34*y**2*(50*y**3 - 58)
Expanding the part (50*y**3 - 58) using the distributive property, and we got: -(-1)*1972*y**2 + (-34*y**2)*(50*y**3)
<replace-#Step 1>#Step 2:
Current expression: -(-1)*1972*y**2 + (-34*y**2)*(50*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -58*(-34*y**2) = 1972*y**2
  (50*y**3)*(-34*y**2) = -1700*y**5
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -1700*y**5 + 1972*y**2</replace>
No more calculations needed.
<answer>-1700*y**5 + 1972*y**2</answer>


Question:
Simplify this expression: (-40*z**3 + 8*z + 9)*(-38*z**3 + 42*z**2 - 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: 1520*z**6 - 1680*z**5 - 304*z**4 + 1434*z**3 + 378*z**2 - 288*z - 324


Question:
Simplify this expression: (33*z**2 + 46*z)*(-z**3 + 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: -33*z**5 - 13*z**4 + 46*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: (33*z**2 + 46*z)*(-z**3 + z**2)
Expanding the part (-z**3 + z**2) using the distributive property, and we got: z**2*(33*z**2 + 46*z) + (-z**3)*(33*z**2 + 46*z)
<replace-#Step 1>#Step 2:
Current expression: z**2*(33*z**2 + 46*z) + (-z**3)*(33*z**2 + 46*z)</replace>
Simplifying the partial expression: z**2*(33*z**2 + 46*z)
Expanding the part (33*z**2 + 46*z) using the distributive property, and we got: (46*z)*z**2 + z**2*(33*z**2)
Replacing z**2*(33*z**2 + 46*z) with (46*z)*z**2 + z**2*(33*z**2) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (46*z)*z**2 + z**2*(33*z**2) + (-z**3)*(33*z**2 + 46*z)</replace>
Simplifying the partial expression: (-z**3)*(33*z**2 + 46*z)
Expanding the part (33*z**2 + 46*z) using the distributive property, and we got: (46*z)*(-z**3) + (33*z**2)*(-z**3)
Replacing (-z**3)*(33*z**2 + 46*z) with (46*z)*(-z**3) + (33*z**2)*(-z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (46*z)*z**2 + z**2*(33*z**2) + (46*z)*(-z**3) + (33*z**2)*(-z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (33*z**2)*z**2 = 33*z**4
  (33*z**2)*(-z**3) = -33*z**5
  (46*z)*z**2 = 46*z**3
  (46*z)*(-z**3) = -46*z**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -33*z**5 - 46*z**4 + 33*z**4 + 46*z**3</replace>
Combining like terms, got -33*z**5 - 13*z**4 + 46*z**3
<replace-#Step 5>#Step 6:
Current expression: -33*z**5 - 13*z**4 + 46*z**3</replace>
No more calculations needed.
<answer>-33*z**5 - 13*z**4 + 46*z**3</answer>


Question:
Calculate the following: (20*z**2 - 15)*(-49*z**3 + 47*z**2 + 46*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: -980*z**5 + 940*z**4 + 1655*z**3 - 705*z**2 - 690*z


Question:
Calculate the following: (-69*x**3 + 15*x)*(-5*x**2 - 50*x + 28)
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: 345*x**5 + 3450*x**4 - 2007*x**3 - 750*x**2 + 420*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: (-69*x**3 + 15*x)*(-5*x**2 - 50*x + 28)
Expanding the part (-69*x**3 + 15*x) using the distributive property, and we got: (15*x)*(-5*x**2 - 50*x + 28) + (-69*x**3)*(-5*x**2 - 50*x + 28)
<replace-#Step 1>#Step 2:
Current expression: (15*x)*(-5*x**2 - 50*x + 28) + (-69*x**3)*(-5*x**2 - 50*x + 28)</replace>
Simplifying the partial expression: (-69*x**3)*(-5*x**2 - 50*x + 28)
Expanding the part (-5*x**2 - 50*x + 28) using the distributive property, and we got: (-50*x)*(-69*x**3) + 28*(-69*x**3) + (-5*x**2)*(-69*x**3)
Replacing (-69*x**3)*(-5*x**2 - 50*x + 28) with (-50*x)*(-69*x**3) + 28*(-69*x**3) + (-5*x**2)*(-69*x**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-50*x)*(-69*x**3) + 28*(-69)*x**3 + (15*x)*(-5*x**2 - 50*x + 28) + (-5*x**2)*(-69*x**3)</replace>
Simplifying the partial expression: (15*x)*(-5*x**2 - 50*x + 28)
Expanding the part (-5*x**2 - 50*x + 28) using the distributive property, and we got: (-50*x)*(15*x) + 28*(15*x) + (15*x)*(-5*x**2)
Replacing (15*x)*(-5*x**2 - 50*x + 28) with (-50*x)*(15*x) + 28*(15*x) + (15*x)*(-5*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-50*x)*(15*x) + (-50*x)*(-69*x**3) + 28*(-69)*x**3 + 28*15*x + (15*x)*(-5*x**2) + (-5*x**2)*(-69*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-50*x)*(-69*x**3) = 3450*x**4
  (-50*x)*(15*x) = -750*x**2
  (-5*x**2)*(-69*x**3) = 345*x**5
  (-5*x**2)*(15*x) = -75*x**3
  28*-69*x**3 = -1932*x**3
  28*15*x = 420*x
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 345*x**5 + 3450*x**4 - 1932*x**3 - 75*x**3 - 750*x**2 + 420*x</replace>
Combining like terms, got 345*x**5 + 3450*x**4 - 2007*x**3 - 750*x**2 + 420*x
<replace-#Step 5>#Step 6:
Current expression: 345*x**5 + 3450*x**4 - 2007*x**3 - 750*x**2 + 420*x</replace>
No more calculations needed.
<answer>345*x**5 + 3450*x**4 - 2007*x**3 - 750*x**2 + 420*x</answer>


Question:
Simplify this expression: (37 - 25*z**2)*(43*z**3 + 58*z + 27)
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: -1075*z**5 + 141*z**3 - 675*z**2 + 2146*z + 999

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (37 - 25*z**2)*(43*z**3 + 58*z + 27)
Expanding the part (37 - 25*z**2) using the distributive property, and we got: (-25*z**2)*(43*z**3 + 58*z + 27) + 37*(43*z**3 + 58*z + 27)
<replace-#Step 1>#Step 2:
Current expression: (-25*z**2)*(43*z**3 + 58*z + 27) + 37*(43*z**3 + 58*z + 27)</replace>
Simplifying the partial expression: 37*(43*z**3 + 58*z + 27)
Expanding the part (43*z**3 + 58*z + 27) using the distributive property, and we got: (58*z)*37 + (43*z**3)*37 + 27*37
Replacing 37*(43*z**3 + 58*z + 27) with (58*z)*37 + (43*z**3)*37 + 27*37 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (58*z)*37 + (-25*z**2)*(43*z**3 + 58*z + 27) + (43*z**3)*37 + 999</replace>
Simplifying the partial expression: (-25*z**2)*(43*z**3 + 58*z + 27)
Expanding the part (43*z**3 + 58*z + 27) using the distributive property, and we got: 27*(-25*z**2) + (58*z)*(-25*z**2) + (-25*z**2)*(43*z**3)
Replacing (-25*z**2)*(43*z**3 + 58*z + 27) with 27*(-25*z**2) + (58*z)*(-25*z**2) + (-25*z**2)*(43*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 27*(-25)*z**2 + (58*z)*(-25*z**2) + (58*z)*37 + (-25*z**2)*(43*z**3) + (43*z**3)*37 + 999</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (43*z**3)*37 = 1591*z**3
  (43*z**3)*(-25*z**2) = -1075*z**5
  (58*z)*37 = 2146*z
  (58*z)*(-25*z**2) = -1450*z**3
  27*-25*z**2 = -675*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1075*z**5 - 1450*z**3 + 1591*z**3 - 675*z**2 + 2146*z + 999</replace>
Combining like terms, got -1075*z**5 + 141*z**3 - 675*z**2 + 2146*z + 999
<replace-#Step 5>#Step 6:
Current expression: -1075*z**5 + 141*z**3 - 675*z**2 + 2146*z + 999</replace>
No more calculations needed.
<answer>-1075*z**5 + 141*z**3 - 675*z**2 + 2146*z + 999</answer>


Question:
Calculate the following: -77*x*(7*x + 44)
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: -539*x**2 - 3388*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: -77*x*(7*x + 44)
Expanding the part (7*x + 44) using the distributive property, and we got: (-77*x)*(7*x) + 44*(-77*x)
<replace-#Step 1>#Step 2:
Current expression: (-77*x)*(7*x) + 44*(-77*x)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  44*(-77*x) = -3388*x
  (7*x)*(-77*x) = -539*x**2
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -539*x**2 - 3388*x</replace>
No more calculations needed.
<answer>-539*x**2 - 3388*x</answer>


Question:
Calculate the following: (16*z**3 - 28*z**2)*(49*z**2 - 54*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: 784*z**5 - 2236*z**4 + 1352*z**3 + 280*z**2


Question:
Calculate the following: 26*z*(10*z**3 - 41*z**2 - 51*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: 260*z**4 - 1066*z**3 - 1326*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: 26*z*(10*z**3 - 41*z**2 - 51*z)
Expanding the part (10*z**3 - 41*z**2 - 51*z) using the distributive property, and we got: (-51*z)*(26*z) + (26*z)*(-41*z**2) + (26*z)*(10*z**3)
<replace-#Step 1>#Step 2:
Current expression: (-51*z)*(26*z) + (26*z)*(-41*z**2) + (26*z)*(10*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-51*z)*(26*z) = -1326*z**2
  (-41*z**2)*(26*z) = -1066*z**3
  (10*z**3)*(26*z) = 260*z**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 260*z**4 - 1066*z**3 - 1326*z**2</replace>
No more calculations needed.
<answer>260*z**4 - 1066*z**3 - 1326*z**2</answer>


Question:
Calculate the following: (38 - 44*x**2)*(-5*x**3 - 26*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: 220*x**5 + 1144*x**4 - 190*x**3 - 988*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: (38 - 44*x**2)*(-5*x**3 - 26*x**2)
Expanding the part (38 - 44*x**2) using the distributive property, and we got: (-44*x**2)*(-5*x**3 - 26*x**2) + 38*(-5*x**3 - 26*x**2)
<replace-#Step 1>#Step 2:
Current expression: (-44*x**2)*(-5*x**3 - 26*x**2) + 38*(-5*x**3 - 26*x**2)</replace>
Simplifying the partial expression: 38*(-5*x**3 - 26*x**2)
Expanding the part (-5*x**3 - 26*x**2) using the distributive property, and we got: -26*x**2*38 - 5*x**3*38
Replacing 38*(-5*x**3 - 26*x**2) with -26*x**2*38 - 5*x**3*38 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-44*x**2)*(-5*x**3 - 26*x**2) - 26*x**2*38 - 5*x**3*38</replace>
Simplifying the partial expression: (-44*x**2)*(-5*x**3 - 26*x**2)
Expanding the part (-5*x**3 - 26*x**2) using the distributive property, and we got: (-44*x**2)*(-26*x**2) + (-44*x**2)*(-5*x**3)
Replacing (-44*x**2)*(-5*x**3 - 26*x**2) with (-44*x**2)*(-26*x**2) + (-44*x**2)*(-5*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-44*x**2)*(-26*x**2) + (-44*x**2)*(-5*x**3) - 26*x**2*38 - 5*x**3*38</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-26*x**2)*38 = -988*x**2
  (-26*x**2)*(-44*x**2) = 1144*x**4
  (-5*x**3)*38 = -190*x**3
  (-5*x**3)*(-44*x**2) = 220*x**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 220*x**5 + 1144*x**4 - 190*x**3 - 988*x**2</replace>
No more calculations needed.
<answer>220*x**5 + 1144*x**4 - 190*x**3 - 988*x**2</answer>


Question:
Calculate the following: (48*x - 1)*(-24*x**2 + 18*x)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1152*x**3 + 888*x**2 - 18*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 - 1)*(-24*x**2 + 18*x)
Expanding the part (48*x - 1) using the distributive property, and we got: (48*x)*(-24*x**2 + 18*x) - (-24*x**2 + 18*x)
<replace-#Step 1>#Step 2:
Current expression: (48*x)*(-24*x**2 + 18*x) - (-24*x**2 + 18*x)</replace>
Simplifying the partial expression: -(-24*x**2 + 18*x)
Expanding the part (-24*x**2 + 18*x) using the distributive property, and we got: (18*x)*(-1) - 24*x**2*(-1)
Replacing -(-24*x**2 + 18*x) with (18*x)*(-1) - 24*x**2*(-1) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (18*x)*(-1) + (48*x)*(-24*x**2 + 18*x) - 24*x**2*(-1)</replace>
Simplifying the partial expression: (48*x)*(-24*x**2 + 18*x)
Expanding the part (-24*x**2 + 18*x) using the distributive property, and we got: (18*x)*(48*x) + (48*x)*(-24*x**2)
Replacing (48*x)*(-24*x**2 + 18*x) with (18*x)*(48*x) + (48*x)*(-24*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (18*x)*(48*x) + (18*x)*(-1) + (48*x)*(-24*x**2) - 24*x**2*(-1)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-24*x**2)*-1 = 24*x**2
  (-24*x**2)*(48*x) = -1152*x**3
  (18*x)*-1 = -18*x
  (18*x)*(48*x) = 864*x**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1152*x**3 + 24*x**2 + 864*x**2 - 18*x</replace>
Combining like terms, got -1152*x**3 + 888*x**2 - 18*x
<replace-#Step 5>#Step 6:
Current expression: -1152*x**3 + 888*x**2 - 18*x</replace>
No more calculations needed.
<answer>-1152*x**3 + 888*x**2 - 18*x</answer>


Question:
Calculate the following: -29*y*(46*y**3 - 14*y**2 - 42*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: -1334*y**4 + 406*y**3 + 1218*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: -29*y*(46*y**3 - 14*y**2 - 42*y)
Expanding the part (46*y**3 - 14*y**2 - 42*y) using the distributive property, and we got: (-42*y)*(-29*y) + (-29*y)*(-14*y**2) + (-29*y)*(46*y**3)
<replace-#Step 1>#Step 2:
Current expression: (-42*y)*(-29*y) + (-29*y)*(-14*y**2) + (-29*y)*(46*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-42*y)*(-29*y) = 1218*y**2
  (-14*y**2)*(-29*y) = 406*y**3
  (46*y**3)*(-29*y) = -1334*y**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -1334*y**4 + 406*y**3 + 1218*y**2</replace>
No more calculations needed.
<answer>-1334*y**4 + 406*y**3 + 1218*y**2</answer>


Question:
Calculate the following: 4*y*(48*y**3 + 11*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: 192*y**4 + 44*y**2 - 124*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: 4*y*(48*y**3 + 11*y - 31)
Expanding the part (48*y**3 + 11*y - 31) using the distributive property, and we got: -124*y + (4*y)*(11*y) + (4*y)*(48*y**3)
<replace-#Step 1>#Step 2:
Current expression: -124*y + (4*y)*(11*y) + (4*y)*(48*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -31*(4*y) = -124*y
  (11*y)*(4*y) = 44*y**2
  (48*y**3)*(4*y) = 192*y**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 192*y**4 + 44*y**2 - 124*y</replace>
No more calculations needed.
<answer>192*y**4 + 44*y**2 - 124*y</answer>


Question:
Calculate the following: 11*x**2*(-44*x**3 + 9*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: -484*x**5 + 99*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: 11*x**2*(-44*x**3 + 9*x)
Expanding the part (-44*x**3 + 9*x) using the distributive property, and we got: (9*x)*(11*x**2) + (11*x**2)*(-44*x**3)
<replace-#Step 1>#Step 2:
Current expression: (9*x)*(11*x**2) + (11*x**2)*(-44*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-44*x**3)*(11*x**2) = -484*x**5
  (9*x)*(11*x**2) = 99*x**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -484*x**5 + 99*x**3</replace>
No more calculations needed.
<answer>-484*x**5 + 99*x**3</answer>


Question:
Calculate the following: (36*y**2 + 17)*(-6*y**3 - 34*y**2)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -216*y**5 - 1224*y**4 - 102*y**3 - 578*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: (36*y**2 + 17)*(-6*y**3 - 34*y**2)
Expanding the part (36*y**2 + 17) using the distributive property, and we got: (36*y**2)*(-6*y**3 - 34*y**2) + 17*(-6*y**3 - 34*y**2)
<replace-#Step 1>#Step 2:
Current expression: (36*y**2)*(-6*y**3 - 34*y**2) + 17*(-6*y**3 - 34*y**2)</replace>
Simplifying the partial expression: 17*(-6*y**3 - 34*y**2)
Expanding the part (-6*y**3 - 34*y**2) using the distributive property, and we got: -34*y**2*17 - 6*y**3*17
Replacing 17*(-6*y**3 - 34*y**2) with -34*y**2*17 - 6*y**3*17 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -34*y**2*17 + (36*y**2)*(-6*y**3 - 34*y**2) - 6*y**3*17</replace>
Simplifying the partial expression: (36*y**2)*(-6*y**3 - 34*y**2)
Expanding the part (-6*y**3 - 34*y**2) using the distributive property, and we got: (-34*y**2)*(36*y**2) + (36*y**2)*(-6*y**3)
Replacing (36*y**2)*(-6*y**3 - 34*y**2) with (-34*y**2)*(36*y**2) + (36*y**2)*(-6*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-34*y**2)*(36*y**2) - 34*y**2*17 + (36*y**2)*(-6*y**3) - 6*y**3*17</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-34*y**2)*17 = -578*y**2
  (-34*y**2)*(36*y**2) = -1224*y**4
  (-6*y**3)*17 = -102*y**3
  (-6*y**3)*(36*y**2) = -216*y**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -216*y**5 - 1224*y**4 - 102*y**3 - 578*y**2</replace>
No more calculations needed.
<answer>-216*y**5 - 1224*y**4 - 102*y**3 - 578*y**2</answer>


Question:
Calculate the following: 41*z**3*(11*z**3 + 20*z**2 - 30*z - 27)
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: 451*z**6 + 820*z**5 - 1230*z**4 - 1107*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: 41*z**3*(11*z**3 + 20*z**2 - 30*z - 27)
Expanding the part (11*z**3 + 20*z**2 - 30*z - 27) using the distributive property, and we got: (-30*z)*(41*z**3) - 1107*z**3 + (20*z**2)*(41*z**3) + (11*z**3)*(41*z**3)
<replace-#Step 1>#Step 2:
Current expression: (-30*z)*(41*z**3) - 1107*z**3 + (20*z**2)*(41*z**3) + (11*z**3)*(41*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -27*(41*z**3) = -1107*z**3
  (-30*z)*(41*z**3) = -1230*z**4
  (11*z**3)*(41*z**3) = 451*z**6
  (20*z**2)*(41*z**3) = 820*z**5
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 451*z**6 + 820*z**5 - 1230*z**4 - 1107*z**3</replace>
No more calculations needed.
<answer>451*z**6 + 820*z**5 - 1230*z**4 - 1107*z**3</answer>


Question:
Simplify this expression: (23*z**3 - 31)*(-49*z**2 + 7*z - 50)
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: -1127*z**5 + 161*z**4 - 1150*z**3 + 1519*z**2 - 217*z + 1550

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (23*z**3 - 31)*(-49*z**2 + 7*z - 50)
Expanding the part (23*z**3 - 31) using the distributive property, and we got: (23*z**3)*(-49*z**2 + 7*z - 50) - 31*(-49*z**2 + 7*z - 50)
<replace-#Step 1>#Step 2:
Current expression: (23*z**3)*(-49*z**2 + 7*z - 50) - 31*(-49*z**2 + 7*z - 50)</replace>
Simplifying the partial expression: -31*(-49*z**2 + 7*z - 50)
Expanding the part (-49*z**2 + 7*z - 50) using the distributive property, and we got: (7*z)*(-31) - 49*z**2*(-31) - 50*(-31)
Replacing -31*(-49*z**2 + 7*z - 50) with (7*z)*(-31) - 49*z**2*(-31) - 50*(-31) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (7*z)*(-31) - 49*z**2*(-31) + (23*z**3)*(-49*z**2 + 7*z - 50) + 1550</replace>
Simplifying the partial expression: (23*z**3)*(-49*z**2 + 7*z - 50)
Expanding the part (-49*z**2 + 7*z - 50) using the distributive property, and we got: -1150*z**3 + (7*z)*(23*z**3) + (-49*z**2)*(23*z**3)
Replacing (23*z**3)*(-49*z**2 + 7*z - 50) with -1150*z**3 + (7*z)*(23*z**3) + (-49*z**2)*(23*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -50*23*z**3 + (7*z)*(23*z**3) + (7*z)*(-31) + (-49*z**2)*(23*z**3) - 49*z**2*(-31) + 1550</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-49*z**2)*-31 = 1519*z**2
  (-49*z**2)*(23*z**3) = -1127*z**5
  (7*z)*-31 = -217*z
  (7*z)*(23*z**3) = 161*z**4
  -50*23*z**3 = -1150*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1127*z**5 + 161*z**4 - 1150*z**3 + 1519*z**2 - 217*z + 1550</replace>
No more calculations needed.
<answer>-1127*z**5 + 161*z**4 - 1150*z**3 + 1519*z**2 - 217*z + 1550</answer>


Question:
Simplify this expression: (48*y**2 - 48*y + 7)*(46*y**3 + 24*y**2 - 43*y + 8)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 2208*y**5 - 1056*y**4 - 2894*y**3 + 2616*y**2 - 685*y + 56


Question:
Calculate the following: (-40*y**3 - 9*y**2)*(38*y**3 + 33*y**2 - 51*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: -1520*y**6 - 1662*y**5 + 1743*y**4 + 459*y**3


Question:
Simplify this expression: (29*x**2 + 49)*(37*x**3 - 42*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: 1073*x**5 + 595*x**3 - 2058*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: (29*x**2 + 49)*(37*x**3 - 42*x)
Expanding the part (29*x**2 + 49) using the distributive property, and we got: (29*x**2)*(37*x**3 - 42*x) + 49*(37*x**3 - 42*x)
<replace-#Step 1>#Step 2:
Current expression: (29*x**2)*(37*x**3 - 42*x) + 49*(37*x**3 - 42*x)</replace>
Simplifying the partial expression: 49*(37*x**3 - 42*x)
Expanding the part (37*x**3 - 42*x) using the distributive property, and we got: -42*x*49 + (37*x**3)*49
Replacing 49*(37*x**3 - 42*x) with -42*x*49 + (37*x**3)*49 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -42*x*49 + (29*x**2)*(37*x**3 - 42*x) + (37*x**3)*49</replace>
Simplifying the partial expression: (29*x**2)*(37*x**3 - 42*x)
Expanding the part (37*x**3 - 42*x) using the distributive property, and we got: (-42*x)*(29*x**2) + (29*x**2)*(37*x**3)
Replacing (29*x**2)*(37*x**3 - 42*x) with (-42*x)*(29*x**2) + (29*x**2)*(37*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-42*x)*(29*x**2) - 42*x*49 + (29*x**2)*(37*x**3) + (37*x**3)*49</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-42*x)*49 = -2058*x
  (-42*x)*(29*x**2) = -1218*x**3
  (37*x**3)*49 = 1813*x**3
  (37*x**3)*(29*x**2) = 1073*x**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1073*x**5 - 1218*x**3 + 1813*x**3 - 2058*x</replace>
Combining like terms, got 1073*x**5 + 595*x**3 - 2058*x
<replace-#Step 5>#Step 6:
Current expression: 1073*x**5 + 595*x**3 - 2058*x</replace>
No more calculations needed.
<answer>1073*x**5 + 595*x**3 - 2058*x</answer>


Question:
Simplify this expression: (6*x**3 - 48*x)*(-32*x**3 + 17*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: -192*x**6 + 1638*x**4 + 222*x**3 - 816*x**2 - 1776*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 - 48*x)*(-32*x**3 + 17*x + 37)
Expanding the part (6*x**3 - 48*x) using the distributive property, and we got: (-48*x)*(-32*x**3 + 17*x + 37) + (6*x**3)*(-32*x**3 + 17*x + 37)
<replace-#Step 1>#Step 2:
Current expression: (-48*x)*(-32*x**3 + 17*x + 37) + (6*x**3)*(-32*x**3 + 17*x + 37)</replace>
Simplifying the partial expression: (-48*x)*(-32*x**3 + 17*x + 37)
Expanding the part (-32*x**3 + 17*x + 37) using the distributive property, and we got: (-48*x)*(17*x) + (-48*x)*(-32*x**3) + 37*(-48*x)
Replacing (-48*x)*(-32*x**3 + 17*x + 37) with (-48*x)*(17*x) + (-48*x)*(-32*x**3) + 37*(-48*x) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-48*x)*(17*x) + (-48*x)*(-32*x**3) + 37*(-48)*x + (6*x**3)*(-32*x**3 + 17*x + 37)</replace>
Simplifying the partial expression: (6*x**3)*(-32*x**3 + 17*x + 37)
Expanding the part (-32*x**3 + 17*x + 37) using the distributive property, and we got: 37*(6*x**3) + (17*x)*(6*x**3) + (-32*x**3)*(6*x**3)
Replacing (6*x**3)*(-32*x**3 + 17*x + 37) with 37*(6*x**3) + (17*x)*(6*x**3) + (-32*x**3)*(6*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-48*x)*(17*x) + (-48*x)*(-32*x**3) + 37*6*x**3 + 37*(-48)*x + (17*x)*(6*x**3) + (-32*x**3)*(6*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-32*x**3)*(-48*x) = 1536*x**4
  (-32*x**3)*(6*x**3) = -192*x**6
  (17*x)*(-48*x) = -816*x**2
  (17*x)*(6*x**3) = 102*x**4
  37*-48*x = -1776*x
  37*6*x**3 = 222*x**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -192*x**6 + 102*x**4 + 1536*x**4 + 222*x**3 - 816*x**2 - 1776*x</replace>
Combining like terms, got -192*x**6 + 1638*x**4 + 222*x**3 - 816*x**2 - 1776*x
<replace-#Step 5>#Step 6:
Current expression: -192*x**6 + 1638*x**4 + 222*x**3 - 816*x**2 - 1776*x</replace>
No more calculations needed.
<answer>-192*x**6 + 1638*x**4 + 222*x**3 - 816*x**2 - 1776*x</answer>


Question:
Simplify this expression: (-14*y**2 + 46*y - 68)*(17*y**3 - 11*y**2 + 46*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: -238*y**5 + 936*y**4 - 2306*y**3 + 2864*y**2 - 3128*y


Question:
Calculate the following: 93*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: 93*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: 93*z**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: 93*z**2</replace>
No more calculations needed.
<answer>93*z**2</answer>


Question:
Calculate the following: (14*z - 1)*(-6*z**3 + 9*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: -84*z**4 + 132*z**3 - 9*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: (14*z - 1)*(-6*z**3 + 9*z**2)
Expanding the part (14*z - 1) using the distributive property, and we got: (14*z)*(-6*z**3 + 9*z**2) - (-6*z**3 + 9*z**2)
<replace-#Step 1>#Step 2:
Current expression: (14*z)*(-6*z**3 + 9*z**2) - (-6*z**3 + 9*z**2)</replace>
Simplifying the partial expression: -(-6*z**3 + 9*z**2)
Expanding the part (-6*z**3 + 9*z**2) using the distributive property, and we got: (9*z**2)*(-1) - 6*z**3*(-1)
Replacing -(-6*z**3 + 9*z**2) with (9*z**2)*(-1) - 6*z**3*(-1) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (14*z)*(-6*z**3 + 9*z**2) + (9*z**2)*(-1) - 6*z**3*(-1)</replace>
Simplifying the partial expression: (14*z)*(-6*z**3 + 9*z**2)
Expanding the part (-6*z**3 + 9*z**2) using the distributive property, and we got: (14*z)*(9*z**2) + (14*z)*(-6*z**3)
Replacing (14*z)*(-6*z**3 + 9*z**2) with (14*z)*(9*z**2) + (14*z)*(-6*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (14*z)*(9*z**2) + (14*z)*(-6*z**3) + (9*z**2)*(-1) - 6*z**3*(-1)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-6*z**3)*-1 = 6*z**3
  (-6*z**3)*(14*z) = -84*z**4
  (9*z**2)*-1 = -9*z**2
  (9*z**2)*(14*z) = 126*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -84*z**4 + 6*z**3 + 126*z**3 - 9*z**2</replace>
Combining like terms, got -84*z**4 + 132*z**3 - 9*z**2
<replace-#Step 5>#Step 6:
Current expression: -84*z**4 + 132*z**3 - 9*z**2</replace>
No more calculations needed.
<answer>-84*z**4 + 132*z**3 - 9*z**2</answer>


Question:
Simplify this expression: (34*x + 25)*(-35*x**3 + 44*x**2 + 6*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: -1190*x**4 + 621*x**3 + 1304*x**2 + 150*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: (34*x + 25)*(-35*x**3 + 44*x**2 + 6*x)
Expanding the part (34*x + 25) using the distributive property, and we got: (34*x)*(-35*x**3 + 44*x**2 + 6*x) + 25*(-35*x**3 + 44*x**2 + 6*x)
<replace-#Step 1>#Step 2:
Current expression: (34*x)*(-35*x**3 + 44*x**2 + 6*x) + 25*(-35*x**3 + 44*x**2 + 6*x)</replace>
Simplifying the partial expression: 25*(-35*x**3 + 44*x**2 + 6*x)
Expanding the part (-35*x**3 + 44*x**2 + 6*x) using the distributive property, and we got: (6*x)*25 + (44*x**2)*25 - 35*x**3*25
Replacing 25*(-35*x**3 + 44*x**2 + 6*x) with (6*x)*25 + (44*x**2)*25 - 35*x**3*25 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (6*x)*25 + (34*x)*(-35*x**3 + 44*x**2 + 6*x) + (44*x**2)*25 - 35*x**3*25</replace>
Simplifying the partial expression: (34*x)*(-35*x**3 + 44*x**2 + 6*x)
Expanding the part (-35*x**3 + 44*x**2 + 6*x) using the distributive property, and we got: (6*x)*(34*x) + (34*x)*(44*x**2) + (34*x)*(-35*x**3)
Replacing (34*x)*(-35*x**3 + 44*x**2 + 6*x) with (6*x)*(34*x) + (34*x)*(44*x**2) + (34*x)*(-35*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (6*x)*(34*x) + (6*x)*25 + (34*x)*(44*x**2) + (34*x)*(-35*x**3) + (44*x**2)*25 - 35*x**3*25</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-35*x**3)*25 = -875*x**3
  (-35*x**3)*(34*x) = -1190*x**4
  (6*x)*25 = 150*x
  (6*x)*(34*x) = 204*x**2
  (44*x**2)*25 = 1100*x**2
  (44*x**2)*(34*x) = 1496*x**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1190*x**4 - 875*x**3 + 1496*x**3 + 204*x**2 + 1100*x**2 + 150*x</replace>
Combining like terms, got -1190*x**4 + 621*x**3 + 1304*x**2 + 150*x
<replace-#Step 5>#Step 6:
Current expression: -1190*x**4 + 621*x**3 + 1304*x**2 + 150*x</replace>
No more calculations needed.
<answer>-1190*x**4 + 621*x**3 + 1304*x**2 + 150*x</answer>


Question:
Simplify this expression: -29*y**2*(-43*y**3 + 50*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: 1247*y**5 - 1450*y**4 + 551*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: -29*y**2*(-43*y**3 + 50*y**2 - 19)
Expanding the part (-43*y**3 + 50*y**2 - 19) using the distributive property, and we got: -(-1)*551*y**2 + (-29*y**2)*(50*y**2) + (-29*y**2)*(-43*y**3)
<replace-#Step 1>#Step 2:
Current expression: -(-1)*551*y**2 + (-29*y**2)*(50*y**2) + (-29*y**2)*(-43*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -19*(-29*y**2) = 551*y**2
  (-43*y**3)*(-29*y**2) = 1247*y**5
  (50*y**2)*(-29*y**2) = -1450*y**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 1247*y**5 - 1450*y**4 + 551*y**2</replace>
No more calculations needed.
<answer>1247*y**5 - 1450*y**4 + 551*y**2</answer>


Question:
Simplify this expression: (24*z**3 + 14*z**2)*(-22*z**2 - 9*z - 14)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -528*z**5 - 524*z**4 - 462*z**3 - 196*z**2


Question:
Simplify this expression: (-19*z**2 + 25*z - 21)*(2*z**3 + 47*z**2 + 42*z + 15)
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: -38*z**5 - 843*z**4 + 335*z**3 - 222*z**2 - 507*z - 315


Question:
Simplify this expression: (-39*y - 18)*(-41*y**3 - 23)
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: 1599*y**4 + 738*y**3 + 897*y + 414

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: (-39*y - 18)*(-41*y**3 - 23)
Expanding the part (-41*y**3 - 23) using the distributive property, and we got: (-41*y**3)*(-39*y - 18) - 23*(-39*y - 18)
<replace-#Step 1>#Step 2:
Current expression: (-41*y**3)*(-39*y - 18) - 23*(-39*y - 18)</replace>
Simplifying the partial expression: -23*(-39*y - 18)
Expanding the part (-39*y - 18) using the distributive property, and we got: -39*y*(-23) - 18*(-23)
Replacing -23*(-39*y - 18) with -39*y*(-23) - 18*(-23) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -39*y*(-23) + (-41*y**3)*(-39*y - 18) + 414</replace>
Simplifying the partial expression: (-41*y**3)*(-39*y - 18)
Expanding the part (-39*y - 18) using the distributive property, and we got: (-39*y)*(-41*y**3) - (-1)*738*y**3
Replacing (-41*y**3)*(-39*y - 18) with (-39*y)*(-41*y**3) - (-1)*738*y**3 in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-39*y)*(-41*y**3) - 39*y*(-23) - 18*(-41)*y**3 + 414</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-39*y)*-23 = 897*y
  (-39*y)*(-41*y**3) = 1599*y**4
  -18*-41*y**3 = 738*y**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1599*y**4 + 738*y**3 + 897*y + 414</replace>
No more calculations needed.
<answer>1599*y**4 + 738*y**3 + 897*y + 414</answer>


Question:
Simplify this expression: (27*y**2 + 22*y - 38)*(-42*y**3 + 48*y**2 - 42*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: -1134*y**5 + 372*y**4 + 1518*y**3 - 2748*y**2 + 1596*y


Question:
Calculate the following: (10*x**2 - 25*x)*(28*x**2 + 45)
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: 280*x**4 - 700*x**3 + 450*x**2 - 1125*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: (10*x**2 - 25*x)*(28*x**2 + 45)
Expanding the part (28*x**2 + 45) using the distributive property, and we got: (28*x**2)*(10*x**2 - 25*x) + 45*(10*x**2 - 25*x)
<replace-#Step 1>#Step 2:
Current expression: (28*x**2)*(10*x**2 - 25*x) + 45*(10*x**2 - 25*x)</replace>
Simplifying the partial expression: 45*(10*x**2 - 25*x)
Expanding the part (10*x**2 - 25*x) using the distributive property, and we got: -25*x*45 + (10*x**2)*45
Replacing 45*(10*x**2 - 25*x) with -25*x*45 + (10*x**2)*45 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -25*x*45 + (10*x**2)*45 + (28*x**2)*(10*x**2 - 25*x)</replace>
Simplifying the partial expression: (28*x**2)*(10*x**2 - 25*x)
Expanding the part (10*x**2 - 25*x) using the distributive property, and we got: (-25*x)*(28*x**2) + (10*x**2)*(28*x**2)
Replacing (28*x**2)*(10*x**2 - 25*x) with (-25*x)*(28*x**2) + (10*x**2)*(28*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-25*x)*(28*x**2) - 25*x*45 + (10*x**2)*(28*x**2) + (10*x**2)*45</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-25*x)*45 = -1125*x
  (-25*x)*(28*x**2) = -700*x**3
  (10*x**2)*45 = 450*x**2
  (10*x**2)*(28*x**2) = 280*x**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 280*x**4 - 700*x**3 + 450*x**2 - 1125*x</replace>
No more calculations needed.
<answer>280*x**4 - 700*x**3 + 450*x**2 - 1125*x</answer>


Question:
Simplify this expression: (50 - 64*x**2)*(-25*x**3 - 33*x**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: 1600*x**5 + 2112*x**4 - 1250*x**3 - 2034*x**2 + 300

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (50 - 64*x**2)*(-25*x**3 - 33*x**2 + 6)
Expanding the part (50 - 64*x**2) using the distributive property, and we got: (-64*x**2)*(-25*x**3 - 33*x**2 + 6) + 50*(-25*x**3 - 33*x**2 + 6)
<replace-#Step 1>#Step 2:
Current expression: (-64*x**2)*(-25*x**3 - 33*x**2 + 6) + 50*(-25*x**3 - 33*x**2 + 6)</replace>
Simplifying the partial expression: 50*(-25*x**3 - 33*x**2 + 6)
Expanding the part (-25*x**3 - 33*x**2 + 6) using the distributive property, and we got: -33*x**2*50 - 25*x**3*50 + 6*50
Replacing 50*(-25*x**3 - 33*x**2 + 6) with -33*x**2*50 - 25*x**3*50 + 6*50 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-64*x**2)*(-25*x**3 - 33*x**2 + 6) - 33*x**2*50 - 25*x**3*50 + 300</replace>
Simplifying the partial expression: (-64*x**2)*(-25*x**3 - 33*x**2 + 6)
Expanding the part (-25*x**3 - 33*x**2 + 6) using the distributive property, and we got: 6*(-64*x**2) + (-64*x**2)*(-33*x**2) + (-64*x**2)*(-25*x**3)
Replacing (-64*x**2)*(-25*x**3 - 33*x**2 + 6) with 6*(-64*x**2) + (-64*x**2)*(-33*x**2) + (-64*x**2)*(-25*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 6*(-64)*x**2 + (-64*x**2)*(-33*x**2) + (-64*x**2)*(-25*x**3) - 33*x**2*50 - 25*x**3*50 + 300</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-33*x**2)*50 = -1650*x**2
  (-33*x**2)*(-64*x**2) = 2112*x**4
  (-25*x**3)*50 = -1250*x**3
  (-25*x**3)*(-64*x**2) = 1600*x**5
  6*-64*x**2 = -384*x**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1600*x**5 + 2112*x**4 - 1250*x**3 - 1650*x**2 - 384*x**2 + 300</replace>
Combining like terms, got 1600*x**5 + 2112*x**4 - 1250*x**3 - 2034*x**2 + 300
<replace-#Step 5>#Step 6:
Current expression: 1600*x**5 + 2112*x**4 - 1250*x**3 - 2034*x**2 + 300</replace>
No more calculations needed.
<answer>1600*x**5 + 2112*x**4 - 1250*x**3 - 2034*x**2 + 300</answer>


Question:
Calculate the following: (39*y**2 + 17*y)*(-36*y**3 - 79)
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: -1404*y**5 - 612*y**4 - 3081*y**2 - 1343*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: (39*y**2 + 17*y)*(-36*y**3 - 79)
Expanding the part (-36*y**3 - 79) using the distributive property, and we got: (-36*y**3)*(39*y**2 + 17*y) - 79*(39*y**2 + 17*y)
<replace-#Step 1>#Step 2:
Current expression: (-36*y**3)*(39*y**2 + 17*y) - 79*(39*y**2 + 17*y)</replace>
Simplifying the partial expression: -79*(39*y**2 + 17*y)
Expanding the part (39*y**2 + 17*y) using the distributive property, and we got: (17*y)*(-79) + (39*y**2)*(-79)
Replacing -79*(39*y**2 + 17*y) with (17*y)*(-79) + (39*y**2)*(-79) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (17*y)*(-79) + (39*y**2)*(-79) + (-36*y**3)*(39*y**2 + 17*y)</replace>
Simplifying the partial expression: (-36*y**3)*(39*y**2 + 17*y)
Expanding the part (39*y**2 + 17*y) using the distributive property, and we got: (17*y)*(-36*y**3) + (39*y**2)*(-36*y**3)
Replacing (-36*y**3)*(39*y**2 + 17*y) with (17*y)*(-36*y**3) + (39*y**2)*(-36*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (17*y)*(-36*y**3) + (17*y)*(-79) + (39*y**2)*(-36*y**3) + (39*y**2)*(-79)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (17*y)*-79 = -1343*y
  (17*y)*(-36*y**3) = -612*y**4
  (39*y**2)*-79 = -3081*y**2
  (39*y**2)*(-36*y**3) = -1404*y**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1404*y**5 - 612*y**4 - 3081*y**2 - 1343*y</replace>
No more calculations needed.
<answer>-1404*y**5 - 612*y**4 - 3081*y**2 - 1343*y</answer>


Question:
Simplify this expression: (27*y - 31)*(-35*y**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: -945*y**4 + 1085*y**3 - 1080*y + 1240

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*y - 31)*(-35*y**3 - 40)
Expanding the part (-35*y**3 - 40) using the distributive property, and we got: (-35*y**3)*(27*y - 31) - 40*(27*y - 31)
<replace-#Step 1>#Step 2:
Current expression: (-35*y**3)*(27*y - 31) - 40*(27*y - 31)</replace>
Simplifying the partial expression: -40*(27*y - 31)
Expanding the part (27*y - 31) using the distributive property, and we got: (27*y)*(-40) - 31*(-40)
Replacing -40*(27*y - 31) with (27*y)*(-40) - 31*(-40) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (27*y)*(-40) + (-35*y**3)*(27*y - 31) + 1240</replace>
Simplifying the partial expression: (-35*y**3)*(27*y - 31)
Expanding the part (27*y - 31) using the distributive property, and we got: -(-1)*1085*y**3 + (27*y)*(-35*y**3)
Replacing (-35*y**3)*(27*y - 31) with -(-1)*1085*y**3 + (27*y)*(-35*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -31*(-35)*y**3 + (27*y)*(-35*y**3) + (27*y)*(-40) + 1240</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (27*y)*-40 = -1080*y
  (27*y)*(-35*y**3) = -945*y**4
  -31*-35*y**3 = 1085*y**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -945*y**4 + 1085*y**3 - 1080*y + 1240</replace>
No more calculations needed.
<answer>-945*y**4 + 1085*y**3 - 1080*y + 1240</answer>


Question:
Calculate the following: (-73*x**3 + 47*x**2 - 14)*(-21*x**3 - 3*x**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: 1533*x**6 - 768*x**5 - 141*x**4 - 1896*x**3 + 1452*x**2 - 420


Question:
Calculate the following: (-47*y**3 - 17*y - 48)*(57*y**3 + 30*y**2 + 3*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: -2679*y**6 - 1410*y**5 - 1110*y**4 - 3246*y**3 - 1491*y**2 - 144*y


Question:
Calculate the following: (-25*z**2 - 38)*(32*z**2 - 43*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: -800*z**4 + 1075*z**3 - 1216*z**2 + 1634*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: (-25*z**2 - 38)*(32*z**2 - 43*z)
Expanding the part (-25*z**2 - 38) using the distributive property, and we got: (-25*z**2)*(32*z**2 - 43*z) - 38*(32*z**2 - 43*z)
<replace-#Step 1>#Step 2:
Current expression: (-25*z**2)*(32*z**2 - 43*z) - 38*(32*z**2 - 43*z)</replace>
Simplifying the partial expression: -38*(32*z**2 - 43*z)
Expanding the part (32*z**2 - 43*z) using the distributive property, and we got: -43*z*(-38) + (32*z**2)*(-38)
Replacing -38*(32*z**2 - 43*z) with -43*z*(-38) + (32*z**2)*(-38) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -43*z*(-38) + (-25*z**2)*(32*z**2 - 43*z) + (32*z**2)*(-38)</replace>
Simplifying the partial expression: (-25*z**2)*(32*z**2 - 43*z)
Expanding the part (32*z**2 - 43*z) using the distributive property, and we got: (-43*z)*(-25*z**2) + (-25*z**2)*(32*z**2)
Replacing (-25*z**2)*(32*z**2 - 43*z) with (-43*z)*(-25*z**2) + (-25*z**2)*(32*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-43*z)*(-25*z**2) - 43*z*(-38) + (-25*z**2)*(32*z**2) + (32*z**2)*(-38)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-43*z)*-38 = 1634*z
  (-43*z)*(-25*z**2) = 1075*z**3
  (32*z**2)*-38 = -1216*z**2
  (32*z**2)*(-25*z**2) = -800*z**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -800*z**4 + 1075*z**3 - 1216*z**2 + 1634*z</replace>
No more calculations needed.
<answer>-800*z**4 + 1075*z**3 - 1216*z**2 + 1634*z</answer>


Question:
Calculate the following: (-23*x**3 + 11*x**2)*(21*x**2 + 36*x - 45)
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: -483*x**5 - 597*x**4 + 1431*x**3 - 495*x**2


Question:
Calculate the following: (40 - 41*z**3)*(15*z**3 + 30*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: -615*z**6 - 1230*z**5 + 600*z**3 + 1200*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: (40 - 41*z**3)*(15*z**3 + 30*z**2)
Expanding the part (40 - 41*z**3) using the distributive property, and we got: (-41*z**3)*(15*z**3 + 30*z**2) + 40*(15*z**3 + 30*z**2)
<replace-#Step 1>#Step 2:
Current expression: (-41*z**3)*(15*z**3 + 30*z**2) + 40*(15*z**3 + 30*z**2)</replace>
Simplifying the partial expression: 40*(15*z**3 + 30*z**2)
Expanding the part (15*z**3 + 30*z**2) using the distributive property, and we got: (30*z**2)*40 + (15*z**3)*40
Replacing 40*(15*z**3 + 30*z**2) with (30*z**2)*40 + (15*z**3)*40 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (30*z**2)*40 + (-41*z**3)*(15*z**3 + 30*z**2) + (15*z**3)*40</replace>
Simplifying the partial expression: (-41*z**3)*(15*z**3 + 30*z**2)
Expanding the part (15*z**3 + 30*z**2) using the distributive property, and we got: (30*z**2)*(-41*z**3) + (-41*z**3)*(15*z**3)
Replacing (-41*z**3)*(15*z**3 + 30*z**2) with (30*z**2)*(-41*z**3) + (-41*z**3)*(15*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (30*z**2)*(-41*z**3) + (30*z**2)*40 + (-41*z**3)*(15*z**3) + (15*z**3)*40</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (15*z**3)*40 = 600*z**3
  (15*z**3)*(-41*z**3) = -615*z**6
  (30*z**2)*40 = 1200*z**2
  (30*z**2)*(-41*z**3) = -1230*z**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -615*z**6 - 1230*z**5 + 600*z**3 + 1200*z**2</replace>
No more calculations needed.
<answer>-615*z**6 - 1230*z**5 + 600*z**3 + 1200*z**2</answer>


Question:
Simplify this expression: (29 - 32*z)*(6*z**3 - 17*z**2 + 13*z + 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: -192*z**4 + 718*z**3 - 909*z**2 - 647*z + 928


Question:
Calculate the following: (23 - 48*x)*(31*x**2 - 39*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: -1488*x**3 + 2585*x**2 - 897*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: (23 - 48*x)*(31*x**2 - 39*x)
Expanding the part (23 - 48*x) using the distributive property, and we got: (-48*x)*(31*x**2 - 39*x) + 23*(31*x**2 - 39*x)
<replace-#Step 1>#Step 2:
Current expression: (-48*x)*(31*x**2 - 39*x) + 23*(31*x**2 - 39*x)</replace>
Simplifying the partial expression: 23*(31*x**2 - 39*x)
Expanding the part (31*x**2 - 39*x) using the distributive property, and we got: -39*x*23 + (31*x**2)*23
Replacing 23*(31*x**2 - 39*x) with -39*x*23 + (31*x**2)*23 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-48*x)*(31*x**2 - 39*x) - 39*x*23 + (31*x**2)*23</replace>
Simplifying the partial expression: (-48*x)*(31*x**2 - 39*x)
Expanding the part (31*x**2 - 39*x) using the distributive property, and we got: (-48*x)*(-39*x) + (-48*x)*(31*x**2)
Replacing (-48*x)*(31*x**2 - 39*x) with (-48*x)*(-39*x) + (-48*x)*(31*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-48*x)*(-39*x) + (-48*x)*(31*x**2) - 39*x*23 + (31*x**2)*23</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-39*x)*23 = -897*x
  (-39*x)*(-48*x) = 1872*x**2
  (31*x**2)*23 = 713*x**2
  (31*x**2)*(-48*x) = -1488*x**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1488*x**3 + 713*x**2 + 1872*x**2 - 897*x</replace>
Combining like terms, got -1488*x**3 + 2585*x**2 - 897*x
<replace-#Step 5>#Step 6:
Current expression: -1488*x**3 + 2585*x**2 - 897*x</replace>
No more calculations needed.
<answer>-1488*x**3 + 2585*x**2 - 897*x</answer>


Question:
Calculate the following: (-16*z**2 - 68)*(-26*z**2 - 43*z + 11)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 416*z**4 + 688*z**3 + 1592*z**2 + 2924*z - 748

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: (-16*z**2 - 68)*(-26*z**2 - 43*z + 11)
Expanding the part (-16*z**2 - 68) using the distributive property, and we got: (-16*z**2)*(-26*z**2 - 43*z + 11) - 68*(-26*z**2 - 43*z + 11)
<replace-#Step 1>#Step 2:
Current expression: (-16*z**2)*(-26*z**2 - 43*z + 11) - 68*(-26*z**2 - 43*z + 11)</replace>
Simplifying the partial expression: -68*(-26*z**2 - 43*z + 11)
Expanding the part (-26*z**2 - 43*z + 11) using the distributive property, and we got: -43*z*(-68) - 26*z**2*(-68) + 11*(-68)
Replacing -68*(-26*z**2 - 43*z + 11) with -43*z*(-68) - 26*z**2*(-68) + 11*(-68) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -43*z*(-68) - 26*z**2*(-68) + (-16*z**2)*(-26*z**2 - 43*z + 11) - 748</replace>
Simplifying the partial expression: (-16*z**2)*(-26*z**2 - 43*z + 11)
Expanding the part (-26*z**2 - 43*z + 11) using the distributive property, and we got: (-43*z)*(-16*z**2) + 11*(-16*z**2) + (-26*z**2)*(-16*z**2)
Replacing (-16*z**2)*(-26*z**2 - 43*z + 11) with (-43*z)*(-16*z**2) + 11*(-16*z**2) + (-26*z**2)*(-16*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-43*z)*(-16*z**2) - 43*z*(-68) + 11*(-16)*z**2 + (-26*z**2)*(-16*z**2) - 26*z**2*(-68) - 748</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-43*z)*-68 = 2924*z
  (-43*z)*(-16*z**2) = 688*z**3
  (-26*z**2)*-68 = 1768*z**2
  (-26*z**2)*(-16*z**2) = 416*z**4
  11*-16*z**2 = -176*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 416*z**4 + 688*z**3 - 176*z**2 + 1768*z**2 + 2924*z - 748</replace>
Combining like terms, got 416*z**4 + 688*z**3 + 1592*z**2 + 2924*z - 748
<replace-#Step 5>#Step 6:
Current expression: 416*z**4 + 688*z**3 + 1592*z**2 + 2924*z - 748</replace>
No more calculations needed.
<answer>416*z**4 + 688*z**3 + 1592*z**2 + 2924*z - 748</answer>


Question:
Simplify this expression: (8*x**2 - 1)*(-19*x**3 - 50*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: -152*x**5 - 381*x**3 + 50*x

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (8*x**2 - 1)*(-19*x**3 - 50*x)
Expanding the part (8*x**2 - 1) using the distributive property, and we got: (8*x**2)*(-19*x**3 - 50*x) - (-19*x**3 - 50*x)
<replace-#Step 1>#Step 2:
Current expression: (8*x**2)*(-19*x**3 - 50*x) - (-19*x**3 - 50*x)</replace>
Simplifying the partial expression: -(-19*x**3 - 50*x)
Expanding the part (-19*x**3 - 50*x) using the distributive property, and we got: -50*x*(-1) - 19*x**3*(-1)
Replacing -(-19*x**3 - 50*x) with -50*x*(-1) - 19*x**3*(-1) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -50*x*(-1) + (8*x**2)*(-19*x**3 - 50*x) - 19*x**3*(-1)</replace>
Simplifying the partial expression: (8*x**2)*(-19*x**3 - 50*x)
Expanding the part (-19*x**3 - 50*x) using the distributive property, and we got: (-50*x)*(8*x**2) + (8*x**2)*(-19*x**3)
Replacing (8*x**2)*(-19*x**3 - 50*x) with (-50*x)*(8*x**2) + (8*x**2)*(-19*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-50*x)*(8*x**2) - 50*x*(-1) + (8*x**2)*(-19*x**3) - 19*x**3*(-1)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-50*x)*-1 = 50*x
  (-50*x)*(8*x**2) = -400*x**3
  (-19*x**3)*-1 = 19*x**3
  (-19*x**3)*(8*x**2) = -152*x**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -152*x**5 - 400*x**3 + 19*x**3 + 50*x</replace>
Combining like terms, got -152*x**5 - 381*x**3 + 50*x
<replace-#Step 5>#Step 6:
Current expression: -152*x**5 - 381*x**3 + 50*x</replace>
No more calculations needed.
<answer>-152*x**5 - 381*x**3 + 50*x</answer>


Question:
Simplify this expression: (-41*x**2 - 26*x)*(-3*x**3 + 3*x + 17)
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: 123*x**5 + 78*x**4 - 123*x**3 - 775*x**2 - 442*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: (-41*x**2 - 26*x)*(-3*x**3 + 3*x + 17)
Expanding the part (-41*x**2 - 26*x) using the distributive property, and we got: (-26*x)*(-3*x**3 + 3*x + 17) + (-41*x**2)*(-3*x**3 + 3*x + 17)
<replace-#Step 1>#Step 2:
Current expression: (-26*x)*(-3*x**3 + 3*x + 17) + (-41*x**2)*(-3*x**3 + 3*x + 17)</replace>
Simplifying the partial expression: (-41*x**2)*(-3*x**3 + 3*x + 17)
Expanding the part (-3*x**3 + 3*x + 17) using the distributive property, and we got: 17*(-41*x**2) + (3*x)*(-41*x**2) + (-41*x**2)*(-3*x**3)
Replacing (-41*x**2)*(-3*x**3 + 3*x + 17) with 17*(-41*x**2) + (3*x)*(-41*x**2) + (-41*x**2)*(-3*x**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-26*x)*(-3*x**3 + 3*x + 17) + 17*(-41)*x**2 + (3*x)*(-41*x**2) + (-41*x**2)*(-3*x**3)</replace>
Simplifying the partial expression: (-26*x)*(-3*x**3 + 3*x + 17)
Expanding the part (-3*x**3 + 3*x + 17) using the distributive property, and we got: (-26*x)*(3*x) + (-26*x)*(-3*x**3) + 17*(-26*x)
Replacing (-26*x)*(-3*x**3 + 3*x + 17) with (-26*x)*(3*x) + (-26*x)*(-3*x**3) + 17*(-26*x) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-26*x)*(3*x) + (-26*x)*(-3*x**3) + 17*(-41)*x**2 + 17*(-26)*x + (3*x)*(-41*x**2) + (-41*x**2)*(-3*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-3*x**3)*(-41*x**2) = 123*x**5
  (-3*x**3)*(-26*x) = 78*x**4
  (3*x)*(-41*x**2) = -123*x**3
  (3*x)*(-26*x) = -78*x**2
  17*-41*x**2 = -697*x**2
  17*-26*x = -442*x
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 123*x**5 + 78*x**4 - 123*x**3 - 697*x**2 - 78*x**2 - 442*x</replace>
Combining like terms, got 123*x**5 + 78*x**4 - 123*x**3 - 775*x**2 - 442*x
<replace-#Step 5>#Step 6:
Current expression: 123*x**5 + 78*x**4 - 123*x**3 - 775*x**2 - 442*x</replace>
No more calculations needed.
<answer>123*x**5 + 78*x**4 - 123*x**3 - 775*x**2 - 442*x</answer>


Question:
Simplify this expression: (29 - 26*z)*(40*z**3 + 8*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: -1040*z**4 + 1160*z**3 - 208*z**2 + 232*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: (29 - 26*z)*(40*z**3 + 8*z)
Expanding the part (29 - 26*z) using the distributive property, and we got: (-26*z)*(40*z**3 + 8*z) + 29*(40*z**3 + 8*z)
<replace-#Step 1>#Step 2:
Current expression: (-26*z)*(40*z**3 + 8*z) + 29*(40*z**3 + 8*z)</replace>
Simplifying the partial expression: 29*(40*z**3 + 8*z)
Expanding the part (40*z**3 + 8*z) using the distributive property, and we got: (8*z)*29 + (40*z**3)*29
Replacing 29*(40*z**3 + 8*z) with (8*z)*29 + (40*z**3)*29 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-26*z)*(40*z**3 + 8*z) + (8*z)*29 + (40*z**3)*29</replace>
Simplifying the partial expression: (-26*z)*(40*z**3 + 8*z)
Expanding the part (40*z**3 + 8*z) using the distributive property, and we got: (-26*z)*(8*z) + (-26*z)*(40*z**3)
Replacing (-26*z)*(40*z**3 + 8*z) with (-26*z)*(8*z) + (-26*z)*(40*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-26*z)*(8*z) + (-26*z)*(40*z**3) + (8*z)*29 + (40*z**3)*29</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (8*z)*29 = 232*z
  (8*z)*(-26*z) = -208*z**2
  (40*z**3)*29 = 1160*z**3
  (40*z**3)*(-26*z) = -1040*z**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1040*z**4 + 1160*z**3 - 208*z**2 + 232*z</replace>
No more calculations needed.
<answer>-1040*z**4 + 1160*z**3 - 208*z**2 + 232*z</answer>


Question:
Simplify this expression: 13*x**3*(-13*x**3 + 33*x**2 - 38)
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: -169*x**6 + 429*x**5 - 494*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: 13*x**3*(-13*x**3 + 33*x**2 - 38)
Expanding the part (-13*x**3 + 33*x**2 - 38) using the distributive property, and we got: -494*x**3 + (33*x**2)*(13*x**3) + (-13*x**3)*(13*x**3)
<replace-#Step 1>#Step 2:
Current expression: -494*x**3 + (33*x**2)*(13*x**3) + (-13*x**3)*(13*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -38*(13*x**3) = -494*x**3
  (-13*x**3)*(13*x**3) = -169*x**6
  (33*x**2)*(13*x**3) = 429*x**5
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -169*x**6 + 429*x**5 - 494*x**3</replace>
No more calculations needed.
<answer>-169*x**6 + 429*x**5 - 494*x**3</answer>


Question:
Simplify this expression: (-22*z**3 + 36*z)*(66*z**3 - 34*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: -1452*z**6 + 3124*z**4 - 1224*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: (-22*z**3 + 36*z)*(66*z**3 - 34*z)
Expanding the part (66*z**3 - 34*z) using the distributive property, and we got: (-34*z)*(-22*z**3 + 36*z) + (66*z**3)*(-22*z**3 + 36*z)
<replace-#Step 1>#Step 2:
Current expression: (-34*z)*(-22*z**3 + 36*z) + (66*z**3)*(-22*z**3 + 36*z)</replace>
Simplifying the partial expression: (-34*z)*(-22*z**3 + 36*z)
Expanding the part (-22*z**3 + 36*z) using the distributive property, and we got: (-34*z)*(36*z) + (-34*z)*(-22*z**3)
Replacing (-34*z)*(-22*z**3 + 36*z) with (-34*z)*(36*z) + (-34*z)*(-22*z**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-34*z)*(36*z) + (-34*z)*(-22*z**3) + (66*z**3)*(-22*z**3 + 36*z)</replace>
Simplifying the partial expression: (66*z**3)*(-22*z**3 + 36*z)
Expanding the part (-22*z**3 + 36*z) using the distributive property, and we got: (36*z)*(66*z**3) + (-22*z**3)*(66*z**3)
Replacing (66*z**3)*(-22*z**3 + 36*z) with (36*z)*(66*z**3) + (-22*z**3)*(66*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-34*z)*(36*z) + (-34*z)*(-22*z**3) + (36*z)*(66*z**3) + (-22*z**3)*(66*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-22*z**3)*(-34*z) = 748*z**4
  (-22*z**3)*(66*z**3) = -1452*z**6
  (36*z)*(-34*z) = -1224*z**2
  (36*z)*(66*z**3) = 2376*z**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1452*z**6 + 748*z**4 + 2376*z**4 - 1224*z**2</replace>
Combining like terms, got -1452*z**6 + 3124*z**4 - 1224*z**2
<replace-#Step 5>#Step 6:
Current expression: -1452*z**6 + 3124*z**4 - 1224*z**2</replace>
No more calculations needed.
<answer>-1452*z**6 + 3124*z**4 - 1224*z**2</answer>


Question:
Simplify this expression: (2*z**3 + 31)*(4*z**3 + 18*z + 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: 8*z**6 + 36*z**4 + 188*z**3 + 558*z + 992

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**3 + 31)*(4*z**3 + 18*z + 32)
Expanding the part (2*z**3 + 31) using the distributive property, and we got: (2*z**3)*(4*z**3 + 18*z + 32) + 31*(4*z**3 + 18*z + 32)
<replace-#Step 1>#Step 2:
Current expression: (2*z**3)*(4*z**3 + 18*z + 32) + 31*(4*z**3 + 18*z + 32)</replace>
Simplifying the partial expression: 31*(4*z**3 + 18*z + 32)
Expanding the part (4*z**3 + 18*z + 32) using the distributive property, and we got: (18*z)*31 + (4*z**3)*31 + 32*31
Replacing 31*(4*z**3 + 18*z + 32) with (18*z)*31 + (4*z**3)*31 + 32*31 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (18*z)*31 + (2*z**3)*(4*z**3 + 18*z + 32) + (4*z**3)*31 + 992</replace>
Simplifying the partial expression: (2*z**3)*(4*z**3 + 18*z + 32)
Expanding the part (4*z**3 + 18*z + 32) using the distributive property, and we got: 32*(2*z**3) + (18*z)*(2*z**3) + (2*z**3)*(4*z**3)
Replacing (2*z**3)*(4*z**3 + 18*z + 32) with 32*(2*z**3) + (18*z)*(2*z**3) + (2*z**3)*(4*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 32*2*z**3 + (18*z)*(2*z**3) + (18*z)*31 + (2*z**3)*(4*z**3) + (4*z**3)*31 + 992</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (4*z**3)*31 = 124*z**3
  (4*z**3)*(2*z**3) = 8*z**6
  (18*z)*31 = 558*z
  (18*z)*(2*z**3) = 36*z**4
  32*2*z**3 = 64*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 8*z**6 + 36*z**4 + 64*z**3 + 124*z**3 + 558*z + 992</replace>
Combining like terms, got 8*z**6 + 36*z**4 + 188*z**3 + 558*z + 992
<replace-#Step 5>#Step 6:
Current expression: 8*z**6 + 36*z**4 + 188*z**3 + 558*z + 992</replace>
No more calculations needed.
<answer>8*z**6 + 36*z**4 + 188*z**3 + 558*z + 992</answer>


Question:
Calculate the following: (-19*y**2 - 5)*(93*y**3 - 3*y + 8)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1767*y**5 - 408*y**3 - 152*y**2 + 15*y - 40

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*y**2 - 5)*(93*y**3 - 3*y + 8)
Expanding the part (-19*y**2 - 5) using the distributive property, and we got: (-19*y**2)*(93*y**3 - 3*y + 8) - 5*(93*y**3 - 3*y + 8)
<replace-#Step 1>#Step 2:
Current expression: (-19*y**2)*(93*y**3 - 3*y + 8) - 5*(93*y**3 - 3*y + 8)</replace>
Simplifying the partial expression: -5*(93*y**3 - 3*y + 8)
Expanding the part (93*y**3 - 3*y + 8) using the distributive property, and we got: -3*y*(-5) + (93*y**3)*(-5) + 8*(-5)
Replacing -5*(93*y**3 - 3*y + 8) with -3*y*(-5) + (93*y**3)*(-5) + 8*(-5) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -3*y*(-5) + (-19*y**2)*(93*y**3 - 3*y + 8) + (93*y**3)*(-5) - 40</replace>
Simplifying the partial expression: (-19*y**2)*(93*y**3 - 3*y + 8)
Expanding the part (93*y**3 - 3*y + 8) using the distributive property, and we got: (-3*y)*(-19*y**2) + 8*(-19*y**2) + (-19*y**2)*(93*y**3)
Replacing (-19*y**2)*(93*y**3 - 3*y + 8) with (-3*y)*(-19*y**2) + 8*(-19*y**2) + (-19*y**2)*(93*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-3*y)*(-19*y**2) - 3*y*(-5) + 8*(-19)*y**2 + (-19*y**2)*(93*y**3) + (93*y**3)*(-5) - 40</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-3*y)*-5 = 15*y
  (-3*y)*(-19*y**2) = 57*y**3
  (93*y**3)*-5 = -465*y**3
  (93*y**3)*(-19*y**2) = -1767*y**5
  8*-19*y**2 = -152*y**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1767*y**5 - 465*y**3 + 57*y**3 - 152*y**2 + 15*y - 40</replace>
Combining like terms, got -1767*y**5 - 408*y**3 - 152*y**2 + 15*y - 40
<replace-#Step 5>#Step 6:
Current expression: -1767*y**5 - 408*y**3 - 152*y**2 + 15*y - 40</replace>
No more calculations needed.
<answer>-1767*y**5 - 408*y**3 - 152*y**2 + 15*y - 40</answer>


Question:
Calculate the following: -36*x*(-11*x**3 + 16*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: 396*x**4 - 576*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*(-11*x**3 + 16*x**2)
Expanding the part (-11*x**3 + 16*x**2) using the distributive property, and we got: (-36*x)*(16*x**2) + (-36*x)*(-11*x**3)
<replace-#Step 1>#Step 2:
Current expression: (-36*x)*(16*x**2) + (-36*x)*(-11*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-11*x**3)*(-36*x) = 396*x**4
  (16*x**2)*(-36*x) = -576*x**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 396*x**4 - 576*x**3</replace>
No more calculations needed.
<answer>396*x**4 - 576*x**3</answer>


Question:
Calculate the following: (28*y**2 + 32*y - 11)*(-23*y**3 + 46*y + 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: -644*y**5 - 736*y**4 + 1541*y**3 + 1836*y**2 - 90*y - 143


Question:
Calculate the following: -59*x**2*(-27*x**3 - 28*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: 1593*x**5 + 1652*x**4

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: -59*x**2*(-27*x**3 - 28*x**2)
Expanding the part (-27*x**3 - 28*x**2) using the distributive property, and we got: (-59*x**2)*(-28*x**2) + (-59*x**2)*(-27*x**3)
<replace-#Step 1>#Step 2:
Current expression: (-59*x**2)*(-28*x**2) + (-59*x**2)*(-27*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-28*x**2)*(-59*x**2) = 1652*x**4
  (-27*x**3)*(-59*x**2) = 1593*x**5
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 1593*x**5 + 1652*x**4</replace>
No more calculations needed.
<answer>1593*x**5 + 1652*x**4</answer>


Question:
Calculate the following: (27 - 87*z**3)*(7*z - 22)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -609*z**4 + 1914*z**3 + 189*z - 594

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 - 87*z**3)*(7*z - 22)
Expanding the part (7*z - 22) using the distributive property, and we got: (7*z)*(27 - 87*z**3) - 22*(27 - 87*z**3)
<replace-#Step 1>#Step 2:
Current expression: (7*z)*(27 - 87*z**3) - 22*(27 - 87*z**3)</replace>
Simplifying the partial expression: -22*(27 - 87*z**3)
Expanding the part (27 - 87*z**3) using the distributive property, and we got: -87*z**3*(-22) + 27*(-22)
Replacing -22*(27 - 87*z**3) with -87*z**3*(-22) + 27*(-22) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (7*z)*(27 - 87*z**3) - 87*z**3*(-22) - 594</replace>
Simplifying the partial expression: (7*z)*(27 - 87*z**3)
Expanding the part (27 - 87*z**3) using the distributive property, and we got: 27*(7*z) + (7*z)*(-87*z**3)
Replacing (7*z)*(27 - 87*z**3) with 27*(7*z) + (7*z)*(-87*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 27*7*z + (7*z)*(-87*z**3) - 87*z**3*(-22) - 594</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-87*z**3)*-22 = 1914*z**3
  (-87*z**3)*(7*z) = -609*z**4
  27*7*z = 189*z
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -609*z**4 + 1914*z**3 + 189*z - 594</replace>
No more calculations needed.
<answer>-609*z**4 + 1914*z**3 + 189*z - 594</answer>


Question:
Calculate the following: (21*x**2 + 14*x)*(-29*x**3 + 44*x**2)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -609*x**5 + 518*x**4 + 616*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: (21*x**2 + 14*x)*(-29*x**3 + 44*x**2)
Expanding the part (-29*x**3 + 44*x**2) using the distributive property, and we got: (44*x**2)*(21*x**2 + 14*x) + (-29*x**3)*(21*x**2 + 14*x)
<replace-#Step 1>#Step 2:
Current expression: (44*x**2)*(21*x**2 + 14*x) + (-29*x**3)*(21*x**2 + 14*x)</replace>
Simplifying the partial expression: (-29*x**3)*(21*x**2 + 14*x)
Expanding the part (21*x**2 + 14*x) using the distributive property, and we got: (14*x)*(-29*x**3) + (21*x**2)*(-29*x**3)
Replacing (-29*x**3)*(21*x**2 + 14*x) with (14*x)*(-29*x**3) + (21*x**2)*(-29*x**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (14*x)*(-29*x**3) + (21*x**2)*(-29*x**3) + (44*x**2)*(21*x**2 + 14*x)</replace>
Simplifying the partial expression: (44*x**2)*(21*x**2 + 14*x)
Expanding the part (21*x**2 + 14*x) using the distributive property, and we got: (14*x)*(44*x**2) + (21*x**2)*(44*x**2)
Replacing (44*x**2)*(21*x**2 + 14*x) with (14*x)*(44*x**2) + (21*x**2)*(44*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (14*x)*(44*x**2) + (14*x)*(-29*x**3) + (21*x**2)*(44*x**2) + (21*x**2)*(-29*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (14*x)*(-29*x**3) = -406*x**4
  (14*x)*(44*x**2) = 616*x**3
  (21*x**2)*(-29*x**3) = -609*x**5
  (21*x**2)*(44*x**2) = 924*x**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -609*x**5 - 406*x**4 + 924*x**4 + 616*x**3</replace>
Combining like terms, got -609*x**5 + 518*x**4 + 616*x**3
<replace-#Step 5>#Step 6:
Current expression: -609*x**5 + 518*x**4 + 616*x**3</replace>
No more calculations needed.
<answer>-609*x**5 + 518*x**4 + 616*x**3</answer>


Question:
Simplify this expression: (-12*z**2 + 37*z)*(-16*z**3 - 23*z**2 + 34)
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: 192*z**5 - 316*z**4 - 851*z**3 - 408*z**2 + 1258*z


Question:
Simplify this expression: 85*x**3 + 221*x + 51
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: 85*x**3 + 221*x + 51

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: 85*x**3 + 221*x + 51
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: 85*x**3 + 221*x + 51</replace>
No more calculations needed.
<answer>85*x**3 + 221*x + 51</answer>


Question:
Calculate the following: (42*z**3 - 43*z)*(-33*z**3 - 9*z**2 - 10)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1386*z**6 - 378*z**5 + 1419*z**4 - 33*z**3 + 430*z


Question:
Calculate the following: (44*y - 38)*(40*y**3 - 16*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: 1760*y**4 - 1520*y**3 - 704*y**2 + 608*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: (44*y - 38)*(40*y**3 - 16*y)
Expanding the part (44*y - 38) using the distributive property, and we got: (44*y)*(40*y**3 - 16*y) - 38*(40*y**3 - 16*y)
<replace-#Step 1>#Step 2:
Current expression: (44*y)*(40*y**3 - 16*y) - 38*(40*y**3 - 16*y)</replace>
Simplifying the partial expression: -38*(40*y**3 - 16*y)
Expanding the part (40*y**3 - 16*y) using the distributive property, and we got: -16*y*(-38) + (40*y**3)*(-38)
Replacing -38*(40*y**3 - 16*y) with -16*y*(-38) + (40*y**3)*(-38) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -16*y*(-38) + (44*y)*(40*y**3 - 16*y) + (40*y**3)*(-38)</replace>
Simplifying the partial expression: (44*y)*(40*y**3 - 16*y)
Expanding the part (40*y**3 - 16*y) using the distributive property, and we got: (-16*y)*(44*y) + (44*y)*(40*y**3)
Replacing (44*y)*(40*y**3 - 16*y) with (-16*y)*(44*y) + (44*y)*(40*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-16*y)*(44*y) - 16*y*(-38) + (44*y)*(40*y**3) + (40*y**3)*(-38)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-16*y)*-38 = 608*y
  (-16*y)*(44*y) = -704*y**2
  (40*y**3)*-38 = -1520*y**3
  (40*y**3)*(44*y) = 1760*y**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1760*y**4 - 1520*y**3 - 704*y**2 + 608*y</replace>
No more calculations needed.
<answer>1760*y**4 - 1520*y**3 - 704*y**2 + 608*y</answer>