Question:
Calculate the following: (22*y - 68)*(-4*y**2 + 50*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: -88*y**3 + 1372*y**2 - 3400*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: (22*y - 68)*(-4*y**2 + 50*y)
Expanding the part (22*y - 68) using the distributive property, and we got: (22*y)*(-4*y**2 + 50*y) - 68*(-4*y**2 + 50*y)
<replace-#Step 1>#Step 2:
Current expression: (22*y)*(-4*y**2 + 50*y) - 68*(-4*y**2 + 50*y)</replace>
Simplifying the partial expression: -68*(-4*y**2 + 50*y)
Expanding the part (-4*y**2 + 50*y) using the distributive property, and we got: (50*y)*(-68) - 4*y**2*(-68)
Replacing -68*(-4*y**2 + 50*y) with (50*y)*(-68) - 4*y**2*(-68) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (22*y)*(-4*y**2 + 50*y) + (50*y)*(-68) - 4*y**2*(-68)</replace>
Simplifying the partial expression: (22*y)*(-4*y**2 + 50*y)
Expanding the part (-4*y**2 + 50*y) using the distributive property, and we got: (22*y)*(50*y) + (22*y)*(-4*y**2)
Replacing (22*y)*(-4*y**2 + 50*y) with (22*y)*(50*y) + (22*y)*(-4*y**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (22*y)*(50*y) + (22*y)*(-4*y**2) + (50*y)*(-68) - 4*y**2*(-68)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-4*y**2)*-68 = 272*y**2
  (-4*y**2)*(22*y) = -88*y**3
  (50*y)*-68 = -3400*y
  (50*y)*(22*y) = 1100*y**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -88*y**3 + 272*y**2 + 1100*y**2 - 3400*y</replace>
Combining like terms, got -88*y**3 + 1372*y**2 - 3400*y
<replace-#Step 5>#Step 6:
Current expression: -88*y**3 + 1372*y**2 - 3400*y</replace>
No more calculations needed.
<answer>-88*y**3 + 1372*y**2 - 3400*y</answer>


Question:
Simplify this expression: (9 - 63*z**2)*(-27*z**2 + 2*z - 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: 1701*z**4 - 126*z**3 + 135*z**2 + 18*z - 54

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: (9 - 63*z**2)*(-27*z**2 + 2*z - 6)
Expanding the part (9 - 63*z**2) using the distributive property, and we got: (-63*z**2)*(-27*z**2 + 2*z - 6) + 9*(-27*z**2 + 2*z - 6)
<replace-#Step 1>#Step 2:
Current expression: (-63*z**2)*(-27*z**2 + 2*z - 6) + 9*(-27*z**2 + 2*z - 6)</replace>
Simplifying the partial expression: 9*(-27*z**2 + 2*z - 6)
Expanding the part (-27*z**2 + 2*z - 6) using the distributive property, and we got: (2*z)*9 - 27*z**2*9 - 6*9
Replacing 9*(-27*z**2 + 2*z - 6) with (2*z)*9 - 27*z**2*9 - 6*9 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (2*z)*9 + (-63*z**2)*(-27*z**2 + 2*z - 6) - 27*z**2*9 - 54</replace>
Simplifying the partial expression: (-63*z**2)*(-27*z**2 + 2*z - 6)
Expanding the part (-27*z**2 + 2*z - 6) using the distributive property, and we got: -(-1)*378*z**2 + (2*z)*(-63*z**2) + (-63*z**2)*(-27*z**2)
Replacing (-63*z**2)*(-27*z**2 + 2*z - 6) with -(-1)*378*z**2 + (2*z)*(-63*z**2) + (-63*z**2)*(-27*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -6*(-63)*z**2 + (2*z)*(-63*z**2) + (2*z)*9 + (-63*z**2)*(-27*z**2) - 27*z**2*9 - 54</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-27*z**2)*9 = -243*z**2
  (-27*z**2)*(-63*z**2) = 1701*z**4
  (2*z)*9 = 18*z
  (2*z)*(-63*z**2) = -126*z**3
  -6*-63*z**2 = 378*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1701*z**4 - 126*z**3 - 243*z**2 + 378*z**2 + 18*z - 54</replace>
Combining like terms, got 1701*z**4 - 126*z**3 + 135*z**2 + 18*z - 54
<replace-#Step 5>#Step 6:
Current expression: 1701*z**4 - 126*z**3 + 135*z**2 + 18*z - 54</replace>
No more calculations needed.
<answer>1701*z**4 - 126*z**3 + 135*z**2 + 18*z - 54</answer>


Question:
Simplify this expression: (13 - 25*x**3)*(-37*x**2 - x - 7)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 925*x**5 + 25*x**4 + 175*x**3 - 481*x**2 - 13*x - 91

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 - 25*x**3)*(-37*x**2 - x - 7)
Expanding the part (13 - 25*x**3) using the distributive property, and we got: (-25*x**3)*(-37*x**2 - x - 7) + 13*(-37*x**2 - x - 7)
<replace-#Step 1>#Step 2:
Current expression: (-25*x**3)*(-37*x**2 - x - 7) + 13*(-37*x**2 - x - 7)</replace>
Simplifying the partial expression: 13*(-37*x**2 - x - 7)
Expanding the part (-37*x**2 - x - 7) using the distributive property, and we got: -x*13 - 37*x**2*13 - 7*13
Replacing 13*(-37*x**2 - x - 7) with -x*13 - 37*x**2*13 - 7*13 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -x*13 - 37*x**2*13 + (-25*x**3)*(-37*x**2 - x - 7) - 91</replace>
Simplifying the partial expression: (-25*x**3)*(-37*x**2 - x - 7)
Expanding the part (-37*x**2 - x - 7) using the distributive property, and we got: (-x)*(-25*x**3) - (-1)*175*x**3 + (-37*x**2)*(-25*x**3)
Replacing (-25*x**3)*(-37*x**2 - x - 7) with (-x)*(-25*x**3) - (-1)*175*x**3 + (-37*x**2)*(-25*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-x)*(-25*x**3) - x*13 - 7*(-25)*x**3 + (-37*x**2)*(-25*x**3) - 37*x**2*13 - 91</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-x)*13 = -13*x
  (-x)*(-25*x**3) = 25*x**4
  (-37*x**2)*13 = -481*x**2
  (-37*x**2)*(-25*x**3) = 925*x**5
  -7*-25*x**3 = 175*x**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 925*x**5 + 25*x**4 + 175*x**3 - 481*x**2 - 13*x - 91</replace>
No more calculations needed.
<answer>925*x**5 + 25*x**4 + 175*x**3 - 481*x**2 - 13*x - 91</answer>


Question:
Calculate the following: (-20*x**2 + 19*x)*(27*x**3 + 17*x**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: -540*x**5 + 173*x**4 + 323*x**3 + 560*x**2 - 532*x


Question:
Calculate the following: (-72*z**3 + 50*z**2)*(32*z**3 - 66*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: -2304*z**6 + 6352*z**5 - 3300*z**4

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-72*z**3 + 50*z**2)*(32*z**3 - 66*z**2)
Expanding the part (-72*z**3 + 50*z**2) using the distributive property, and we got: (50*z**2)*(32*z**3 - 66*z**2) + (-72*z**3)*(32*z**3 - 66*z**2)
<replace-#Step 1>#Step 2:
Current expression: (50*z**2)*(32*z**3 - 66*z**2) + (-72*z**3)*(32*z**3 - 66*z**2)</replace>
Simplifying the partial expression: (-72*z**3)*(32*z**3 - 66*z**2)
Expanding the part (32*z**3 - 66*z**2) using the distributive property, and we got: (-66*z**2)*(-72*z**3) + (-72*z**3)*(32*z**3)
Replacing (-72*z**3)*(32*z**3 - 66*z**2) with (-66*z**2)*(-72*z**3) + (-72*z**3)*(32*z**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-66*z**2)*(-72*z**3) + (50*z**2)*(32*z**3 - 66*z**2) + (-72*z**3)*(32*z**3)</replace>
Simplifying the partial expression: (50*z**2)*(32*z**3 - 66*z**2)
Expanding the part (32*z**3 - 66*z**2) using the distributive property, and we got: (-66*z**2)*(50*z**2) + (50*z**2)*(32*z**3)
Replacing (50*z**2)*(32*z**3 - 66*z**2) with (-66*z**2)*(50*z**2) + (50*z**2)*(32*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-66*z**2)*(50*z**2) + (-66*z**2)*(-72*z**3) + (50*z**2)*(32*z**3) + (-72*z**3)*(32*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-66*z**2)*(-72*z**3) = 4752*z**5
  (-66*z**2)*(50*z**2) = -3300*z**4
  (32*z**3)*(-72*z**3) = -2304*z**6
  (32*z**3)*(50*z**2) = 1600*z**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -2304*z**6 + 1600*z**5 + 4752*z**5 - 3300*z**4</replace>
Combining like terms, got -2304*z**6 + 6352*z**5 - 3300*z**4
<replace-#Step 5>#Step 6:
Current expression: -2304*z**6 + 6352*z**5 - 3300*z**4</replace>
No more calculations needed.
<answer>-2304*z**6 + 6352*z**5 - 3300*z**4</answer>


Question:
Calculate the following: (47*x**2 - 50*x - 13)*(55*x**3 + 14*x**2 - 40*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: 2585*x**5 - 2092*x**4 - 3295*x**3 + 1818*x**2 + 520*x


Question:
Simplify this expression: (42*z**3 + 42*z**2)*(41*z**3 - 17*z**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: 1722*z**6 + 1008*z**5 - 714*z**4 - 1176*z**3 - 1176*z**2


Question:
Simplify this expression: (46 - 16*x)*(12*x**2 + 49)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -192*x**3 + 552*x**2 - 784*x + 2254

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (46 - 16*x)*(12*x**2 + 49)
Expanding the part (46 - 16*x) using the distributive property, and we got: (-16*x)*(12*x**2 + 49) + 46*(12*x**2 + 49)
<replace-#Step 1>#Step 2:
Current expression: (-16*x)*(12*x**2 + 49) + 46*(12*x**2 + 49)</replace>
Simplifying the partial expression: 46*(12*x**2 + 49)
Expanding the part (12*x**2 + 49) using the distributive property, and we got: (12*x**2)*46 + 49*46
Replacing 46*(12*x**2 + 49) with (12*x**2)*46 + 49*46 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-16*x)*(12*x**2 + 49) + (12*x**2)*46 + 2254</replace>
Simplifying the partial expression: (-16*x)*(12*x**2 + 49)
Expanding the part (12*x**2 + 49) using the distributive property, and we got: (-16*x)*(12*x**2) + 49*(-16*x)
Replacing (-16*x)*(12*x**2 + 49) with (-16*x)*(12*x**2) + 49*(-16*x) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-16*x)*(12*x**2) + 49*(-16)*x + (12*x**2)*46 + 2254</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (12*x**2)*46 = 552*x**2
  (12*x**2)*(-16*x) = -192*x**3
  49*-16*x = -784*x
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -192*x**3 + 552*x**2 - 784*x + 2254</replace>
No more calculations needed.
<answer>-192*x**3 + 552*x**2 - 784*x + 2254</answer>


Question:
Simplify this expression: (35 - 17*z**2)*(-31*z - 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: 527*z**3 + 510*z**2 - 1085*z - 1050

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (35 - 17*z**2)*(-31*z - 30)
Expanding the part (-31*z - 30) using the distributive property, and we got: (-31*z)*(35 - 17*z**2) - 30*(35 - 17*z**2)
<replace-#Step 1>#Step 2:
Current expression: (-31*z)*(35 - 17*z**2) - 30*(35 - 17*z**2)</replace>
Simplifying the partial expression: -30*(35 - 17*z**2)
Expanding the part (35 - 17*z**2) using the distributive property, and we got: -17*z**2*(-30) + 35*(-30)
Replacing -30*(35 - 17*z**2) with -17*z**2*(-30) + 35*(-30) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-31*z)*(35 - 17*z**2) - 17*z**2*(-30) - 1050</replace>
Simplifying the partial expression: (-31*z)*(35 - 17*z**2)
Expanding the part (35 - 17*z**2) using the distributive property, and we got: (-31*z)*(-17*z**2) + 35*(-31*z)
Replacing (-31*z)*(35 - 17*z**2) with (-31*z)*(-17*z**2) + 35*(-31*z) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-31*z)*(-17*z**2) + 35*(-31)*z - 17*z**2*(-30) - 1050</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-17*z**2)*-30 = 510*z**2
  (-17*z**2)*(-31*z) = 527*z**3
  35*-31*z = -1085*z
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 527*z**3 + 510*z**2 - 1085*z - 1050</replace>
No more calculations needed.
<answer>527*z**3 + 510*z**2 - 1085*z - 1050</answer>


Question:
Calculate the following: (-32*z**3 - 18)*(42*z**3 - 25)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1344*z**6 + 44*z**3 + 450

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**3 - 18)*(42*z**3 - 25)
Expanding the part (42*z**3 - 25) using the distributive property, and we got: (42*z**3)*(-32*z**3 - 18) - 25*(-32*z**3 - 18)
<replace-#Step 1>#Step 2:
Current expression: (42*z**3)*(-32*z**3 - 18) - 25*(-32*z**3 - 18)</replace>
Simplifying the partial expression: -25*(-32*z**3 - 18)
Expanding the part (-32*z**3 - 18) using the distributive property, and we got: -32*z**3*(-25) - 18*(-25)
Replacing -25*(-32*z**3 - 18) with -32*z**3*(-25) - 18*(-25) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -32*z**3*(-25) + (42*z**3)*(-32*z**3 - 18) + 450</replace>
Simplifying the partial expression: (42*z**3)*(-32*z**3 - 18)
Expanding the part (-32*z**3 - 18) using the distributive property, and we got: -756*z**3 + (-32*z**3)*(42*z**3)
Replacing (42*z**3)*(-32*z**3 - 18) with -756*z**3 + (-32*z**3)*(42*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -18*42*z**3 + (-32*z**3)*(42*z**3) - 32*z**3*(-25) + 450</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-32*z**3)*-25 = 800*z**3
  (-32*z**3)*(42*z**3) = -1344*z**6
  -18*42*z**3 = -756*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1344*z**6 - 756*z**3 + 800*z**3 + 450</replace>
Combining like terms, got -1344*z**6 + 44*z**3 + 450
<replace-#Step 5>#Step 6:
Current expression: -1344*z**6 + 44*z**3 + 450</replace>
No more calculations needed.
<answer>-1344*z**6 + 44*z**3 + 450</answer>


Question:
Simplify this expression: (13*y**2 - 27*y)*(-5*y**2 - 14*y - 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: -65*y**4 - 47*y**3 + 14*y**2 + 756*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: (13*y**2 - 27*y)*(-5*y**2 - 14*y - 28)
Expanding the part (13*y**2 - 27*y) using the distributive property, and we got: (-27*y)*(-5*y**2 - 14*y - 28) + (13*y**2)*(-5*y**2 - 14*y - 28)
<replace-#Step 1>#Step 2:
Current expression: (-27*y)*(-5*y**2 - 14*y - 28) + (13*y**2)*(-5*y**2 - 14*y - 28)</replace>
Simplifying the partial expression: (-27*y)*(-5*y**2 - 14*y - 28)
Expanding the part (-5*y**2 - 14*y - 28) using the distributive property, and we got: (-27*y)*(-14*y) + (-27*y)*(-5*y**2) - (-1)*756*y
Replacing (-27*y)*(-5*y**2 - 14*y - 28) with (-27*y)*(-14*y) + (-27*y)*(-5*y**2) - (-1)*756*y in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-27*y)*(-14*y) + (-27*y)*(-5*y**2) - 28*(-27)*y + (13*y**2)*(-5*y**2 - 14*y - 28)</replace>
Simplifying the partial expression: (13*y**2)*(-5*y**2 - 14*y - 28)
Expanding the part (-5*y**2 - 14*y - 28) using the distributive property, and we got: (-14*y)*(13*y**2) - 364*y**2 + (-5*y**2)*(13*y**2)
Replacing (13*y**2)*(-5*y**2 - 14*y - 28) with (-14*y)*(13*y**2) - 364*y**2 + (-5*y**2)*(13*y**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-27*y)*(-14*y) + (-27*y)*(-5*y**2) + (-14*y)*(13*y**2) - 28*13*y**2 - 28*(-27)*y + (-5*y**2)*(13*y**2)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-14*y)*(-27*y) = 378*y**2
  (-14*y)*(13*y**2) = -182*y**3
  (-5*y**2)*(-27*y) = 135*y**3
  (-5*y**2)*(13*y**2) = -65*y**4
  -28*-27*y = 756*y
  -28*13*y**2 = -364*y**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -65*y**4 - 182*y**3 + 135*y**3 - 364*y**2 + 378*y**2 + 756*y</replace>
Combining like terms, got -65*y**4 - 47*y**3 + 14*y**2 + 756*y
<replace-#Step 5>#Step 6:
Current expression: -65*y**4 - 47*y**3 + 14*y**2 + 756*y</replace>
No more calculations needed.
<answer>-65*y**4 - 47*y**3 + 14*y**2 + 756*y</answer>


Question:
Simplify this expression: (31*x + 28)*(-42*x**2 - 54*x + 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: -1302*x**3 - 2850*x**2 - 551*x + 868

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: (31*x + 28)*(-42*x**2 - 54*x + 31)
Expanding the part (31*x + 28) using the distributive property, and we got: (31*x)*(-42*x**2 - 54*x + 31) + 28*(-42*x**2 - 54*x + 31)
<replace-#Step 1>#Step 2:
Current expression: (31*x)*(-42*x**2 - 54*x + 31) + 28*(-42*x**2 - 54*x + 31)</replace>
Simplifying the partial expression: 28*(-42*x**2 - 54*x + 31)
Expanding the part (-42*x**2 - 54*x + 31) using the distributive property, and we got: -54*x*28 - 42*x**2*28 + 31*28
Replacing 28*(-42*x**2 - 54*x + 31) with -54*x*28 - 42*x**2*28 + 31*28 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -54*x*28 + (31*x)*(-42*x**2 - 54*x + 31) - 42*x**2*28 + 868</replace>
Simplifying the partial expression: (31*x)*(-42*x**2 - 54*x + 31)
Expanding the part (-42*x**2 - 54*x + 31) using the distributive property, and we got: (-54*x)*(31*x) + 31*(31*x) + (31*x)*(-42*x**2)
Replacing (31*x)*(-42*x**2 - 54*x + 31) with (-54*x)*(31*x) + 31*(31*x) + (31*x)*(-42*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-54*x)*(31*x) - 54*x*28 + 31*31*x + (31*x)*(-42*x**2) - 42*x**2*28 + 868</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-54*x)*28 = -1512*x
  (-54*x)*(31*x) = -1674*x**2
  (-42*x**2)*28 = -1176*x**2
  (-42*x**2)*(31*x) = -1302*x**3
  31*31*x = 961*x
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1302*x**3 - 1674*x**2 - 1176*x**2 - 1512*x + 961*x + 868</replace>
Combining like terms, got -1302*x**3 - 2850*x**2 - 551*x + 868
<replace-#Step 5>#Step 6:
Current expression: -1302*x**3 - 2850*x**2 - 551*x + 868</replace>
No more calculations needed.
<answer>-1302*x**3 - 2850*x**2 - 551*x + 868</answer>


Question:
Calculate the following: (74*y**3 - 19)*(26*y**2 + 37*y - 1)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 1924*y**5 + 2738*y**4 - 74*y**3 - 494*y**2 - 703*y + 19

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: (74*y**3 - 19)*(26*y**2 + 37*y - 1)
Expanding the part (74*y**3 - 19) using the distributive property, and we got: (74*y**3)*(26*y**2 + 37*y - 1) - 19*(26*y**2 + 37*y - 1)
<replace-#Step 1>#Step 2:
Current expression: (74*y**3)*(26*y**2 + 37*y - 1) - 19*(26*y**2 + 37*y - 1)</replace>
Simplifying the partial expression: -19*(26*y**2 + 37*y - 1)
Expanding the part (26*y**2 + 37*y - 1) using the distributive property, and we got: (37*y)*(-19) + (26*y**2)*(-19) - 1*(-19)
Replacing -19*(26*y**2 + 37*y - 1) with (37*y)*(-19) + (26*y**2)*(-19) - 1*(-19) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (37*y)*(-19) + (26*y**2)*(-19) + (74*y**3)*(26*y**2 + 37*y - 1) + 19</replace>
Simplifying the partial expression: (74*y**3)*(26*y**2 + 37*y - 1)
Expanding the part (26*y**2 + 37*y - 1) using the distributive property, and we got: -74*y**3 + (37*y)*(74*y**3) + (26*y**2)*(74*y**3)
Replacing (74*y**3)*(26*y**2 + 37*y - 1) with -74*y**3 + (37*y)*(74*y**3) + (26*y**2)*(74*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -1*74*y**3 + (37*y)*(74*y**3) + (37*y)*(-19) + (26*y**2)*(74*y**3) + (26*y**2)*(-19) + 19</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (26*y**2)*-19 = -494*y**2
  (26*y**2)*(74*y**3) = 1924*y**5
  (37*y)*-19 = -703*y
  (37*y)*(74*y**3) = 2738*y**4
  -1*74*y**3 = -74*y**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1924*y**5 + 2738*y**4 - 74*y**3 - 494*y**2 - 703*y + 19</replace>
No more calculations needed.
<answer>1924*y**5 + 2738*y**4 - 74*y**3 - 494*y**2 - 703*y + 19</answer>


Question:
Simplify this expression: (21*z**3 - 6*z**2 - 3)*(30*z**3 - 10*z**2 + 33)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 630*z**6 - 390*z**5 + 60*z**4 + 603*z**3 - 168*z**2 - 99


Question:
Calculate the following: (19 - 19*y**3)*(-14*y**3 - 45*y**2 + 11*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: 266*y**6 + 855*y**5 - 209*y**4 - 19*y**3 - 855*y**2 + 209*y - 247


Question:
Calculate the following: -4*x*(18*x**2 + 46*x)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -72*x**3 - 184*x**2

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: -4*x*(18*x**2 + 46*x)
Expanding the part (18*x**2 + 46*x) using the distributive property, and we got: (-4*x)*(46*x) + (-4*x)*(18*x**2)
<replace-#Step 1>#Step 2:
Current expression: (-4*x)*(46*x) + (-4*x)*(18*x**2)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (18*x**2)*(-4*x) = -72*x**3
  (46*x)*(-4*x) = -184*x**2
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -72*x**3 - 184*x**2</replace>
No more calculations needed.
<answer>-72*x**3 - 184*x**2</answer>


Question:
Simplify this expression: (-13*x**3 - 49*x)*(-8*x**3 + 3*x**2 - 17*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: 104*x**6 - 39*x**5 + 613*x**4 - 511*x**3 + 833*x**2 - 1372*x


Question:
Calculate the following: (1 - 43*x**2)*(-16*x**2 + 7*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: 688*x**4 - 301*x**3 - 16*x**2 + 7*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: (1 - 43*x**2)*(-16*x**2 + 7*x)
Expanding the part (1 - 43*x**2) using the distributive property, and we got: (-43*x**2)*(-16*x**2 + 7*x) + 1*(-16*x**2 + 7*x)
<replace-#Step 1>#Step 2:
Current expression: (-43*x**2)*(-16*x**2 + 7*x) + 1*(-16*x**2 + 7*x)</replace>
Simplifying the partial expression: 1*(-16*x**2 + 7*x)
Expanding the part (-16*x**2 + 7*x) using the distributive property, and we got: (7*x)*1 - 16*x**2*1
Replacing 1*(-16*x**2 + 7*x) with (7*x)*1 - 16*x**2*1 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (7*x)*1 + (-43*x**2)*(-16*x**2 + 7*x) - 16*x**2*1</replace>
Simplifying the partial expression: (-43*x**2)*(-16*x**2 + 7*x)
Expanding the part (-16*x**2 + 7*x) using the distributive property, and we got: (7*x)*(-43*x**2) + (-43*x**2)*(-16*x**2)
Replacing (-43*x**2)*(-16*x**2 + 7*x) with (7*x)*(-43*x**2) + (-43*x**2)*(-16*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (7*x)*(-43*x**2) + (7*x)*1 + (-43*x**2)*(-16*x**2) - 16*x**2*1</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-16*x**2)*1 = -16*x**2
  (-16*x**2)*(-43*x**2) = 688*x**4
  (7*x)*1 = 7*x
  (7*x)*(-43*x**2) = -301*x**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 688*x**4 - 301*x**3 - 16*x**2 + 7*x</replace>
No more calculations needed.
<answer>688*x**4 - 301*x**3 - 16*x**2 + 7*x</answer>


Question:
Simplify this expression: -108*z**3 - 282*z + 12
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -108*z**3 - 282*z + 12

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: -108*z**3 - 282*z + 12
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: -108*z**3 - 282*z + 12</replace>
No more calculations needed.
<answer>-108*z**3 - 282*z + 12</answer>


Question:
Simplify this expression: (-44*z**3 + 36*z - 5)*(16*z**3 + 34*z**2 - 38*z)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -704*z**6 - 1496*z**5 + 2248*z**4 + 1144*z**3 - 1538*z**2 + 190*z


Question:
Simplify this expression: (-9*z**3 - 29)*(z**3 + 34*z + 47)
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: -9*z**6 - 306*z**4 - 452*z**3 - 986*z - 1363

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: (-9*z**3 - 29)*(z**3 + 34*z + 47)
Expanding the part (-9*z**3 - 29) using the distributive property, and we got: (-9*z**3)*(z**3 + 34*z + 47) - 29*(z**3 + 34*z + 47)
<replace-#Step 1>#Step 2:
Current expression: (-9*z**3)*(z**3 + 34*z + 47) - 29*(z**3 + 34*z + 47)</replace>
Simplifying the partial expression: -29*(z**3 + 34*z + 47)
Expanding the part (z**3 + 34*z + 47) using the distributive property, and we got: z**3*(-29) + (34*z)*(-29) + 47*(-29)
Replacing -29*(z**3 + 34*z + 47) with z**3*(-29) + (34*z)*(-29) + 47*(-29) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: z**3*(-29) + (34*z)*(-29) + (-9*z**3)*(z**3 + 34*z + 47) - 1363</replace>
Simplifying the partial expression: (-9*z**3)*(z**3 + 34*z + 47)
Expanding the part (z**3 + 34*z + 47) using the distributive property, and we got: (-9*z**3)*z**3 + 47*(-9*z**3) + (34*z)*(-9*z**3)
Replacing (-9*z**3)*(z**3 + 34*z + 47) with (-9*z**3)*z**3 + 47*(-9*z**3) + (34*z)*(-9*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-9*z**3)*z**3 + 47*(-9)*z**3 + z**3*(-29) + (34*z)*(-9*z**3) + (34*z)*(-29) - 1363</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  z**3*-29 = -29*z**3
  z**3*(-9*z**3) = -9*z**6
  (34*z)*-29 = -986*z
  (34*z)*(-9*z**3) = -306*z**4
  47*-9*z**3 = -423*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -9*z**6 - 306*z**4 - 423*z**3 - 29*z**3 - 986*z - 1363</replace>
Combining like terms, got -9*z**6 - 306*z**4 - 452*z**3 - 986*z - 1363
<replace-#Step 5>#Step 6:
Current expression: -9*z**6 - 306*z**4 - 452*z**3 - 986*z - 1363</replace>
No more calculations needed.
<answer>-9*z**6 - 306*z**4 - 452*z**3 - 986*z - 1363</answer>


Question:
Calculate the following: (-31*x**2 - 9*x)*(30*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: -930*x**4 - 270*x**3 - 1395*x**2 - 405*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: (-31*x**2 - 9*x)*(30*x**2 + 45)
Expanding the part (30*x**2 + 45) using the distributive property, and we got: (30*x**2)*(-31*x**2 - 9*x) + 45*(-31*x**2 - 9*x)
<replace-#Step 1>#Step 2:
Current expression: (30*x**2)*(-31*x**2 - 9*x) + 45*(-31*x**2 - 9*x)</replace>
Simplifying the partial expression: 45*(-31*x**2 - 9*x)
Expanding the part (-31*x**2 - 9*x) using the distributive property, and we got: -9*x*45 - 31*x**2*45
Replacing 45*(-31*x**2 - 9*x) with -9*x*45 - 31*x**2*45 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -9*x*45 - 31*x**2*45 + (30*x**2)*(-31*x**2 - 9*x)</replace>
Simplifying the partial expression: (30*x**2)*(-31*x**2 - 9*x)
Expanding the part (-31*x**2 - 9*x) using the distributive property, and we got: (-9*x)*(30*x**2) + (-31*x**2)*(30*x**2)
Replacing (30*x**2)*(-31*x**2 - 9*x) with (-9*x)*(30*x**2) + (-31*x**2)*(30*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-9*x)*(30*x**2) - 9*x*45 + (-31*x**2)*(30*x**2) - 31*x**2*45</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-31*x**2)*45 = -1395*x**2
  (-31*x**2)*(30*x**2) = -930*x**4
  (-9*x)*45 = -405*x
  (-9*x)*(30*x**2) = -270*x**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -930*x**4 - 270*x**3 - 1395*x**2 - 405*x</replace>
No more calculations needed.
<answer>-930*x**4 - 270*x**3 - 1395*x**2 - 405*x</answer>


Question:
Calculate the following: 27*x**3*(41*x**3 - 38*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: 1107*x**6 - 1026*x**5

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: 27*x**3*(41*x**3 - 38*x**2)
Expanding the part (41*x**3 - 38*x**2) using the distributive property, and we got: (-38*x**2)*(27*x**3) + (27*x**3)*(41*x**3)
<replace-#Step 1>#Step 2:
Current expression: (-38*x**2)*(27*x**3) + (27*x**3)*(41*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-38*x**2)*(27*x**3) = -1026*x**5
  (41*x**3)*(27*x**3) = 1107*x**6
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 1107*x**6 - 1026*x**5</replace>
No more calculations needed.
<answer>1107*x**6 - 1026*x**5</answer>


Question:
Calculate the following: (4 - 4*z)*(9*z**3 - 13*z**2 + 36*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: -36*z**4 + 88*z**3 - 196*z**2 + 144*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: (4 - 4*z)*(9*z**3 - 13*z**2 + 36*z)
Expanding the part (4 - 4*z) using the distributive property, and we got: (-4*z)*(9*z**3 - 13*z**2 + 36*z) + 4*(9*z**3 - 13*z**2 + 36*z)
<replace-#Step 1>#Step 2:
Current expression: (-4*z)*(9*z**3 - 13*z**2 + 36*z) + 4*(9*z**3 - 13*z**2 + 36*z)</replace>
Simplifying the partial expression: 4*(9*z**3 - 13*z**2 + 36*z)
Expanding the part (9*z**3 - 13*z**2 + 36*z) using the distributive property, and we got: (36*z)*4 - 13*z**2*4 + (9*z**3)*4
Replacing 4*(9*z**3 - 13*z**2 + 36*z) with (36*z)*4 - 13*z**2*4 + (9*z**3)*4 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-4*z)*(9*z**3 - 13*z**2 + 36*z) + (36*z)*4 - 13*z**2*4 + (9*z**3)*4</replace>
Simplifying the partial expression: (-4*z)*(9*z**3 - 13*z**2 + 36*z)
Expanding the part (9*z**3 - 13*z**2 + 36*z) using the distributive property, and we got: (-4*z)*(36*z) + (-4*z)*(-13*z**2) + (-4*z)*(9*z**3)
Replacing (-4*z)*(9*z**3 - 13*z**2 + 36*z) with (-4*z)*(36*z) + (-4*z)*(-13*z**2) + (-4*z)*(9*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-4*z)*(36*z) + (-4*z)*(-13*z**2) + (-4*z)*(9*z**3) + (36*z)*4 - 13*z**2*4 + (9*z**3)*4</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-13*z**2)*4 = -52*z**2
  (-13*z**2)*(-4*z) = 52*z**3
  (9*z**3)*4 = 36*z**3
  (9*z**3)*(-4*z) = -36*z**4
  (36*z)*4 = 144*z
  (36*z)*(-4*z) = -144*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -36*z**4 + 36*z**3 + 52*z**3 - 144*z**2 - 52*z**2 + 144*z</replace>
Combining like terms, got -36*z**4 + 88*z**3 - 196*z**2 + 144*z
<replace-#Step 5>#Step 6:
Current expression: -36*z**4 + 88*z**3 - 196*z**2 + 144*z</replace>
No more calculations needed.
<answer>-36*z**4 + 88*z**3 - 196*z**2 + 144*z</answer>


Question:
Simplify this expression: (23 - 57*z**3)*(26*z**3 - 5*z**2 + 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: -1482*z**6 + 285*z**5 - 257*z**3 - 115*z**2 + 345

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 - 57*z**3)*(26*z**3 - 5*z**2 + 15)
Expanding the part (23 - 57*z**3) using the distributive property, and we got: (-57*z**3)*(26*z**3 - 5*z**2 + 15) + 23*(26*z**3 - 5*z**2 + 15)
<replace-#Step 1>#Step 2:
Current expression: (-57*z**3)*(26*z**3 - 5*z**2 + 15) + 23*(26*z**3 - 5*z**2 + 15)</replace>
Simplifying the partial expression: 23*(26*z**3 - 5*z**2 + 15)
Expanding the part (26*z**3 - 5*z**2 + 15) using the distributive property, and we got: -5*z**2*23 + (26*z**3)*23 + 15*23
Replacing 23*(26*z**3 - 5*z**2 + 15) with -5*z**2*23 + (26*z**3)*23 + 15*23 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -5*z**2*23 + (-57*z**3)*(26*z**3 - 5*z**2 + 15) + (26*z**3)*23 + 345</replace>
Simplifying the partial expression: (-57*z**3)*(26*z**3 - 5*z**2 + 15)
Expanding the part (26*z**3 - 5*z**2 + 15) using the distributive property, and we got: 15*(-57*z**3) + (-5*z**2)*(-57*z**3) + (-57*z**3)*(26*z**3)
Replacing (-57*z**3)*(26*z**3 - 5*z**2 + 15) with 15*(-57*z**3) + (-5*z**2)*(-57*z**3) + (-57*z**3)*(26*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 15*(-57)*z**3 + (-5*z**2)*(-57*z**3) - 5*z**2*23 + (-57*z**3)*(26*z**3) + (26*z**3)*23 + 345</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-5*z**2)*23 = -115*z**2
  (-5*z**2)*(-57*z**3) = 285*z**5
  (26*z**3)*23 = 598*z**3
  (26*z**3)*(-57*z**3) = -1482*z**6
  15*-57*z**3 = -855*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1482*z**6 + 285*z**5 - 855*z**3 + 598*z**3 - 115*z**2 + 345</replace>
Combining like terms, got -1482*z**6 + 285*z**5 - 257*z**3 - 115*z**2 + 345
<replace-#Step 5>#Step 6:
Current expression: -1482*z**6 + 285*z**5 - 257*z**3 - 115*z**2 + 345</replace>
No more calculations needed.
<answer>-1482*z**6 + 285*z**5 - 257*z**3 - 115*z**2 + 345</answer>


Question:
Calculate the following: (27*y**3 - y - 25)*(37*y**3 + 7*y + 18)
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: 999*y**6 + 152*y**4 - 439*y**3 - 7*y**2 - 193*y - 450


Question:
Calculate the following: (16 - 13*x**2)*(-36*x**3 - 48*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: 468*x**5 + 624*x**4 - 576*x**3 - 768*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: (16 - 13*x**2)*(-36*x**3 - 48*x**2)
Expanding the part (16 - 13*x**2) using the distributive property, and we got: (-13*x**2)*(-36*x**3 - 48*x**2) + 16*(-36*x**3 - 48*x**2)
<replace-#Step 1>#Step 2:
Current expression: (-13*x**2)*(-36*x**3 - 48*x**2) + 16*(-36*x**3 - 48*x**2)</replace>
Simplifying the partial expression: 16*(-36*x**3 - 48*x**2)
Expanding the part (-36*x**3 - 48*x**2) using the distributive property, and we got: -48*x**2*16 - 36*x**3*16
Replacing 16*(-36*x**3 - 48*x**2) with -48*x**2*16 - 36*x**3*16 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -48*x**2*16 + (-13*x**2)*(-36*x**3 - 48*x**2) - 36*x**3*16</replace>
Simplifying the partial expression: (-13*x**2)*(-36*x**3 - 48*x**2)
Expanding the part (-36*x**3 - 48*x**2) using the distributive property, and we got: (-48*x**2)*(-13*x**2) + (-13*x**2)*(-36*x**3)
Replacing (-13*x**2)*(-36*x**3 - 48*x**2) with (-48*x**2)*(-13*x**2) + (-13*x**2)*(-36*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-48*x**2)*(-13*x**2) - 48*x**2*16 + (-13*x**2)*(-36*x**3) - 36*x**3*16</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-48*x**2)*16 = -768*x**2
  (-48*x**2)*(-13*x**2) = 624*x**4
  (-36*x**3)*16 = -576*x**3
  (-36*x**3)*(-13*x**2) = 468*x**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 468*x**5 + 624*x**4 - 576*x**3 - 768*x**2</replace>
No more calculations needed.
<answer>468*x**5 + 624*x**4 - 576*x**3 - 768*x**2</answer>


Question:
Calculate the following: (10*y**3 - 22*y)*(23*y**3 + 12*y - 48)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 230*y**6 - 386*y**4 - 480*y**3 - 264*y**2 + 1056*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: (10*y**3 - 22*y)*(23*y**3 + 12*y - 48)
Expanding the part (10*y**3 - 22*y) using the distributive property, and we got: (-22*y)*(23*y**3 + 12*y - 48) + (10*y**3)*(23*y**3 + 12*y - 48)
<replace-#Step 1>#Step 2:
Current expression: (-22*y)*(23*y**3 + 12*y - 48) + (10*y**3)*(23*y**3 + 12*y - 48)</replace>
Simplifying the partial expression: (-22*y)*(23*y**3 + 12*y - 48)
Expanding the part (23*y**3 + 12*y - 48) using the distributive property, and we got: (-22*y)*(12*y) + (-22*y)*(23*y**3) - (-1)*1056*y
Replacing (-22*y)*(23*y**3 + 12*y - 48) with (-22*y)*(12*y) + (-22*y)*(23*y**3) - (-1)*1056*y in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-22*y)*(12*y) + (-22*y)*(23*y**3) - 48*(-22)*y + (10*y**3)*(23*y**3 + 12*y - 48)</replace>
Simplifying the partial expression: (10*y**3)*(23*y**3 + 12*y - 48)
Expanding the part (23*y**3 + 12*y - 48) using the distributive property, and we got: -480*y**3 + (12*y)*(10*y**3) + (10*y**3)*(23*y**3)
Replacing (10*y**3)*(23*y**3 + 12*y - 48) with -480*y**3 + (12*y)*(10*y**3) + (10*y**3)*(23*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-22*y)*(12*y) + (-22*y)*(23*y**3) - 48*10*y**3 - 48*(-22)*y + (12*y)*(10*y**3) + (10*y**3)*(23*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (12*y)*(-22*y) = -264*y**2
  (12*y)*(10*y**3) = 120*y**4
  (23*y**3)*(-22*y) = -506*y**4
  (23*y**3)*(10*y**3) = 230*y**6
  -48*-22*y = 1056*y
  -48*10*y**3 = -480*y**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 230*y**6 - 506*y**4 + 120*y**4 - 480*y**3 - 264*y**2 + 1056*y</replace>
Combining like terms, got 230*y**6 - 386*y**4 - 480*y**3 - 264*y**2 + 1056*y
<replace-#Step 5>#Step 6:
Current expression: 230*y**6 - 386*y**4 - 480*y**3 - 264*y**2 + 1056*y</replace>
No more calculations needed.
<answer>230*y**6 - 386*y**4 - 480*y**3 - 264*y**2 + 1056*y</answer>


Question:
Calculate the following: (-42*z**3 - 10*z)*(44*z**3 - 12*z**2 + 27*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: -1848*z**6 + 504*z**5 - 1574*z**4 + 120*z**3 - 270*z**2


Question:
Simplify this expression: (-30*y**3 - 30*y**2 - 12)*(21*y**3 + 44*y**2 - 33*y - 25)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -630*y**6 - 1950*y**5 - 330*y**4 + 1488*y**3 + 222*y**2 + 396*y + 300


Question:
Simplify this expression: (6*z**3 + 17*z**2)*(-9*z**2 - 50*z + 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: -54*z**5 - 453*z**4 - 586*z**3 + 748*z**2


Question:
Simplify this expression: 420*z**3 - 238*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: 420*z**3 - 238*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: 420*z**3 - 238*z
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: 420*z**3 - 238*z</replace>
No more calculations needed.
<answer>420*z**3 - 238*z</answer>


Question:
Simplify this expression: (-6*y**3 + 3*y)*(43*y**3 - 18*y + 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: -258*y**6 + 237*y**4 - 204*y**3 - 54*y**2 + 102*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: (-6*y**3 + 3*y)*(43*y**3 - 18*y + 34)
Expanding the part (-6*y**3 + 3*y) using the distributive property, and we got: (3*y)*(43*y**3 - 18*y + 34) + (-6*y**3)*(43*y**3 - 18*y + 34)
<replace-#Step 1>#Step 2:
Current expression: (3*y)*(43*y**3 - 18*y + 34) + (-6*y**3)*(43*y**3 - 18*y + 34)</replace>
Simplifying the partial expression: (-6*y**3)*(43*y**3 - 18*y + 34)
Expanding the part (43*y**3 - 18*y + 34) using the distributive property, and we got: (-18*y)*(-6*y**3) + 34*(-6*y**3) + (-6*y**3)*(43*y**3)
Replacing (-6*y**3)*(43*y**3 - 18*y + 34) with (-18*y)*(-6*y**3) + 34*(-6*y**3) + (-6*y**3)*(43*y**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-18*y)*(-6*y**3) + 34*(-6)*y**3 + (3*y)*(43*y**3 - 18*y + 34) + (-6*y**3)*(43*y**3)</replace>
Simplifying the partial expression: (3*y)*(43*y**3 - 18*y + 34)
Expanding the part (43*y**3 - 18*y + 34) using the distributive property, and we got: (-18*y)*(3*y) + 34*(3*y) + (3*y)*(43*y**3)
Replacing (3*y)*(43*y**3 - 18*y + 34) with (-18*y)*(3*y) + 34*(3*y) + (3*y)*(43*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-18*y)*(3*y) + (-18*y)*(-6*y**3) + 34*(-6)*y**3 + 34*3*y + (3*y)*(43*y**3) + (-6*y**3)*(43*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-18*y)*(-6*y**3) = 108*y**4
  (-18*y)*(3*y) = -54*y**2
  (43*y**3)*(-6*y**3) = -258*y**6
  (43*y**3)*(3*y) = 129*y**4
  34*-6*y**3 = -204*y**3
  34*3*y = 102*y
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -258*y**6 + 108*y**4 + 129*y**4 - 204*y**3 - 54*y**2 + 102*y</replace>
Combining like terms, got -258*y**6 + 237*y**4 - 204*y**3 - 54*y**2 + 102*y
<replace-#Step 5>#Step 6:
Current expression: -258*y**6 + 237*y**4 - 204*y**3 - 54*y**2 + 102*y</replace>
No more calculations needed.
<answer>-258*y**6 + 237*y**4 - 204*y**3 - 54*y**2 + 102*y</answer>


Question:
Calculate the following: (-10*y**3 + 15*y)*(-11*y**2 - 20*y - 3)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 110*y**5 + 200*y**4 - 135*y**3 - 300*y**2 - 45*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: (-10*y**3 + 15*y)*(-11*y**2 - 20*y - 3)
Expanding the part (-10*y**3 + 15*y) using the distributive property, and we got: (15*y)*(-11*y**2 - 20*y - 3) + (-10*y**3)*(-11*y**2 - 20*y - 3)
<replace-#Step 1>#Step 2:
Current expression: (15*y)*(-11*y**2 - 20*y - 3) + (-10*y**3)*(-11*y**2 - 20*y - 3)</replace>
Simplifying the partial expression: (-10*y**3)*(-11*y**2 - 20*y - 3)
Expanding the part (-11*y**2 - 20*y - 3) using the distributive property, and we got: (-20*y)*(-10*y**3) - (-1)*30*y**3 + (-11*y**2)*(-10*y**3)
Replacing (-10*y**3)*(-11*y**2 - 20*y - 3) with (-20*y)*(-10*y**3) - (-1)*30*y**3 + (-11*y**2)*(-10*y**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-20*y)*(-10*y**3) - 3*(-10)*y**3 + (15*y)*(-11*y**2 - 20*y - 3) + (-11*y**2)*(-10*y**3)</replace>
Simplifying the partial expression: (15*y)*(-11*y**2 - 20*y - 3)
Expanding the part (-11*y**2 - 20*y - 3) using the distributive property, and we got: (-20*y)*(15*y) - 45*y + (15*y)*(-11*y**2)
Replacing (15*y)*(-11*y**2 - 20*y - 3) with (-20*y)*(15*y) - 45*y + (15*y)*(-11*y**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-20*y)*(15*y) + (-20*y)*(-10*y**3) - 3*(-10)*y**3 - 3*15*y + (15*y)*(-11*y**2) + (-11*y**2)*(-10*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-20*y)*(-10*y**3) = 200*y**4
  (-20*y)*(15*y) = -300*y**2
  (-11*y**2)*(-10*y**3) = 110*y**5
  (-11*y**2)*(15*y) = -165*y**3
  -3*-10*y**3 = 30*y**3
  -3*15*y = -45*y
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 110*y**5 + 200*y**4 - 165*y**3 + 30*y**3 - 300*y**2 - 45*y</replace>
Combining like terms, got 110*y**5 + 200*y**4 - 135*y**3 - 300*y**2 - 45*y
<replace-#Step 5>#Step 6:
Current expression: 110*y**5 + 200*y**4 - 135*y**3 - 300*y**2 - 45*y</replace>
No more calculations needed.
<answer>110*y**5 + 200*y**4 - 135*y**3 - 300*y**2 - 45*y</answer>


Question:
Calculate the following: (36 - 22*z**3)*(14*z**3 - 39*z**2 - 36*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: -308*z**6 + 858*z**5 + 792*z**4 + 504*z**3 - 1404*z**2 - 1296*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: (36 - 22*z**3)*(14*z**3 - 39*z**2 - 36*z)
Expanding the part (36 - 22*z**3) using the distributive property, and we got: (-22*z**3)*(14*z**3 - 39*z**2 - 36*z) + 36*(14*z**3 - 39*z**2 - 36*z)
<replace-#Step 1>#Step 2:
Current expression: (-22*z**3)*(14*z**3 - 39*z**2 - 36*z) + 36*(14*z**3 - 39*z**2 - 36*z)</replace>
Simplifying the partial expression: 36*(14*z**3 - 39*z**2 - 36*z)
Expanding the part (14*z**3 - 39*z**2 - 36*z) using the distributive property, and we got: -36*z*36 - 39*z**2*36 + (14*z**3)*36
Replacing 36*(14*z**3 - 39*z**2 - 36*z) with -36*z*36 - 39*z**2*36 + (14*z**3)*36 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -36*z*36 - 39*z**2*36 + (-22*z**3)*(14*z**3 - 39*z**2 - 36*z) + (14*z**3)*36</replace>
Simplifying the partial expression: (-22*z**3)*(14*z**3 - 39*z**2 - 36*z)
Expanding the part (14*z**3 - 39*z**2 - 36*z) using the distributive property, and we got: (-36*z)*(-22*z**3) + (-39*z**2)*(-22*z**3) + (-22*z**3)*(14*z**3)
Replacing (-22*z**3)*(14*z**3 - 39*z**2 - 36*z) with (-36*z)*(-22*z**3) + (-39*z**2)*(-22*z**3) + (-22*z**3)*(14*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-36*z)*(-22*z**3) - 36*z*36 + (-39*z**2)*(-22*z**3) - 39*z**2*36 + (-22*z**3)*(14*z**3) + (14*z**3)*36</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-39*z**2)*36 = -1404*z**2
  (-39*z**2)*(-22*z**3) = 858*z**5
  (-36*z)*36 = -1296*z
  (-36*z)*(-22*z**3) = 792*z**4
  (14*z**3)*36 = 504*z**3
  (14*z**3)*(-22*z**3) = -308*z**6
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -308*z**6 + 858*z**5 + 792*z**4 + 504*z**3 - 1404*z**2 - 1296*z</replace>
No more calculations needed.
<answer>-308*z**6 + 858*z**5 + 792*z**4 + 504*z**3 - 1404*z**2 - 1296*z</answer>


Question:
Simplify this expression: -5*y**2*(33*y**3 + 69*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: -165*y**5 - 345*y**3

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: -5*y**2*(33*y**3 + 69*y)
Expanding the part (33*y**3 + 69*y) using the distributive property, and we got: (69*y)*(-5*y**2) + (-5*y**2)*(33*y**3)
<replace-#Step 1>#Step 2:
Current expression: (69*y)*(-5*y**2) + (-5*y**2)*(33*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (33*y**3)*(-5*y**2) = -165*y**5
  (69*y)*(-5*y**2) = -345*y**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -165*y**5 - 345*y**3</replace>
No more calculations needed.
<answer>-165*y**5 - 345*y**3</answer>


Question:
Calculate the following: 21*z**2*(-37*z**3 - 48*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: -777*z**5 - 1008*z**4

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: 21*z**2*(-37*z**3 - 48*z**2)
Expanding the part (-37*z**3 - 48*z**2) using the distributive property, and we got: (-48*z**2)*(21*z**2) + (21*z**2)*(-37*z**3)
<replace-#Step 1>#Step 2:
Current expression: (-48*z**2)*(21*z**2) + (21*z**2)*(-37*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-48*z**2)*(21*z**2) = -1008*z**4
  (-37*z**3)*(21*z**2) = -777*z**5
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -777*z**5 - 1008*z**4</replace>
No more calculations needed.
<answer>-777*z**5 - 1008*z**4</answer>


Question:
Calculate the following: (49 - 49*y**2)*(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: -2450*y**4 + 3381*y**2 - 931

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (49 - 49*y**2)*(50*y**2 - 19)
Expanding the part (50*y**2 - 19) using the distributive property, and we got: (50*y**2)*(49 - 49*y**2) - 19*(49 - 49*y**2)
<replace-#Step 1>#Step 2:
Current expression: (50*y**2)*(49 - 49*y**2) - 19*(49 - 49*y**2)</replace>
Simplifying the partial expression: -19*(49 - 49*y**2)
Expanding the part (49 - 49*y**2) using the distributive property, and we got: -49*y**2*(-19) + 49*(-19)
Replacing -19*(49 - 49*y**2) with -49*y**2*(-19) + 49*(-19) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -49*y**2*(-19) + (50*y**2)*(49 - 49*y**2) - 931</replace>
Simplifying the partial expression: (50*y**2)*(49 - 49*y**2)
Expanding the part (49 - 49*y**2) using the distributive property, and we got: 49*(50*y**2) + (-49*y**2)*(50*y**2)
Replacing (50*y**2)*(49 - 49*y**2) with 49*(50*y**2) + (-49*y**2)*(50*y**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 49*50*y**2 + (-49*y**2)*(50*y**2) - 49*y**2*(-19) - 931</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-49*y**2)*-19 = 931*y**2
  (-49*y**2)*(50*y**2) = -2450*y**4
  49*50*y**2 = 2450*y**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -2450*y**4 + 931*y**2 + 2450*y**2 - 931</replace>
Combining like terms, got -2450*y**4 + 3381*y**2 - 931
<replace-#Step 5>#Step 6:
Current expression: -2450*y**4 + 3381*y**2 - 931</replace>
No more calculations needed.
<answer>-2450*y**4 + 3381*y**2 - 931</answer>


Question:
Simplify this expression: (2*y**3 - 19*y - 31)*(52*y**3 - 30*y**2 + 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: 104*y**6 - 60*y**5 - 988*y**4 - 1020*y**3 + 930*y**2 - 209*y - 341


Question:
Simplify this expression: -12*z*(14*z**3 - 22*z - 31)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -168*z**4 + 264*z**2 + 372*z

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: -12*z*(14*z**3 - 22*z - 31)
Expanding the part (14*z**3 - 22*z - 31) using the distributive property, and we got: (-22*z)*(-12*z) + (-12*z)*(14*z**3) - (-1)*372*z
<replace-#Step 1>#Step 2:
Current expression: (-22*z)*(-12*z) + (-12*z)*(14*z**3) - (-1)*372*z</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -31*(-12*z) = 372*z
  (-22*z)*(-12*z) = 264*z**2
  (14*z**3)*(-12*z) = -168*z**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -168*z**4 + 264*z**2 + 372*z</replace>
No more calculations needed.
<answer>-168*z**4 + 264*z**2 + 372*z</answer>


Question:
Calculate the following: (-61*z**2 - 27)*(27*z**2 - 10*z)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1647*z**4 + 610*z**3 - 729*z**2 + 270*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: (-61*z**2 - 27)*(27*z**2 - 10*z)
Expanding the part (-61*z**2 - 27) using the distributive property, and we got: (-61*z**2)*(27*z**2 - 10*z) - 27*(27*z**2 - 10*z)
<replace-#Step 1>#Step 2:
Current expression: (-61*z**2)*(27*z**2 - 10*z) - 27*(27*z**2 - 10*z)</replace>
Simplifying the partial expression: -27*(27*z**2 - 10*z)
Expanding the part (27*z**2 - 10*z) using the distributive property, and we got: -10*z*(-27) + (27*z**2)*(-27)
Replacing -27*(27*z**2 - 10*z) with -10*z*(-27) + (27*z**2)*(-27) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -10*z*(-27) + (-61*z**2)*(27*z**2 - 10*z) + (27*z**2)*(-27)</replace>
Simplifying the partial expression: (-61*z**2)*(27*z**2 - 10*z)
Expanding the part (27*z**2 - 10*z) using the distributive property, and we got: (-10*z)*(-61*z**2) + (-61*z**2)*(27*z**2)
Replacing (-61*z**2)*(27*z**2 - 10*z) with (-10*z)*(-61*z**2) + (-61*z**2)*(27*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-10*z)*(-61*z**2) - 10*z*(-27) + (-61*z**2)*(27*z**2) + (27*z**2)*(-27)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-10*z)*-27 = 270*z
  (-10*z)*(-61*z**2) = 610*z**3
  (27*z**2)*-27 = -729*z**2
  (27*z**2)*(-61*z**2) = -1647*z**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1647*z**4 + 610*z**3 - 729*z**2 + 270*z</replace>
No more calculations needed.
<answer>-1647*z**4 + 610*z**3 - 729*z**2 + 270*z</answer>


Question:
Calculate the following: (46*z + 30)*(16*z**2 - 58*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: 736*z**3 - 2188*z**2 - 1740*z

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (46*z + 30)*(16*z**2 - 58*z)
Expanding the part (46*z + 30) using the distributive property, and we got: (46*z)*(16*z**2 - 58*z) + 30*(16*z**2 - 58*z)
<replace-#Step 1>#Step 2:
Current expression: (46*z)*(16*z**2 - 58*z) + 30*(16*z**2 - 58*z)</replace>
Simplifying the partial expression: 30*(16*z**2 - 58*z)
Expanding the part (16*z**2 - 58*z) using the distributive property, and we got: -58*z*30 + (16*z**2)*30
Replacing 30*(16*z**2 - 58*z) with -58*z*30 + (16*z**2)*30 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -58*z*30 + (46*z)*(16*z**2 - 58*z) + (16*z**2)*30</replace>
Simplifying the partial expression: (46*z)*(16*z**2 - 58*z)
Expanding the part (16*z**2 - 58*z) using the distributive property, and we got: (-58*z)*(46*z) + (46*z)*(16*z**2)
Replacing (46*z)*(16*z**2 - 58*z) with (-58*z)*(46*z) + (46*z)*(16*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-58*z)*(46*z) - 58*z*30 + (46*z)*(16*z**2) + (16*z**2)*30</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-58*z)*30 = -1740*z
  (-58*z)*(46*z) = -2668*z**2
  (16*z**2)*30 = 480*z**2
  (16*z**2)*(46*z) = 736*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 736*z**3 - 2668*z**2 + 480*z**2 - 1740*z</replace>
Combining like terms, got 736*z**3 - 2188*z**2 - 1740*z
<replace-#Step 5>#Step 6:
Current expression: 736*z**3 - 2188*z**2 - 1740*z</replace>
No more calculations needed.
<answer>736*z**3 - 2188*z**2 - 1740*z</answer>


Question:
Simplify this expression: (-29*y**3 - 45)*(14*y**3 + 22*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: -406*y**6 - 638*y**4 - 630*y**3 - 990*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: (-29*y**3 - 45)*(14*y**3 + 22*y)
Expanding the part (-29*y**3 - 45) using the distributive property, and we got: (-29*y**3)*(14*y**3 + 22*y) - 45*(14*y**3 + 22*y)
<replace-#Step 1>#Step 2:
Current expression: (-29*y**3)*(14*y**3 + 22*y) - 45*(14*y**3 + 22*y)</replace>
Simplifying the partial expression: -45*(14*y**3 + 22*y)
Expanding the part (14*y**3 + 22*y) using the distributive property, and we got: (22*y)*(-45) + (14*y**3)*(-45)
Replacing -45*(14*y**3 + 22*y) with (22*y)*(-45) + (14*y**3)*(-45) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (22*y)*(-45) + (-29*y**3)*(14*y**3 + 22*y) + (14*y**3)*(-45)</replace>
Simplifying the partial expression: (-29*y**3)*(14*y**3 + 22*y)
Expanding the part (14*y**3 + 22*y) using the distributive property, and we got: (22*y)*(-29*y**3) + (-29*y**3)*(14*y**3)
Replacing (-29*y**3)*(14*y**3 + 22*y) with (22*y)*(-29*y**3) + (-29*y**3)*(14*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (22*y)*(-29*y**3) + (22*y)*(-45) + (-29*y**3)*(14*y**3) + (14*y**3)*(-45)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (14*y**3)*-45 = -630*y**3
  (14*y**3)*(-29*y**3) = -406*y**6
  (22*y)*-45 = -990*y
  (22*y)*(-29*y**3) = -638*y**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -406*y**6 - 638*y**4 - 630*y**3 - 990*y</replace>
No more calculations needed.
<answer>-406*y**6 - 638*y**4 - 630*y**3 - 990*y</answer>


Question:
Simplify this expression: (-35*y**2 - 38*y + 24)*(-45*y**3 + 32*y - 42)
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: 1575*y**5 + 1710*y**4 - 2200*y**3 + 254*y**2 + 2364*y - 1008


Question:
Calculate the following: (11 - 47*z)*(-7*z**2 - 86)
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: 329*z**3 - 77*z**2 + 4042*z - 946

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 - 47*z)*(-7*z**2 - 86)
Expanding the part (-7*z**2 - 86) using the distributive property, and we got: (-7*z**2)*(11 - 47*z) - 86*(11 - 47*z)
<replace-#Step 1>#Step 2:
Current expression: (-7*z**2)*(11 - 47*z) - 86*(11 - 47*z)</replace>
Simplifying the partial expression: -86*(11 - 47*z)
Expanding the part (11 - 47*z) using the distributive property, and we got: -47*z*(-86) + 11*(-86)
Replacing -86*(11 - 47*z) with -47*z*(-86) + 11*(-86) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -47*z*(-86) + (-7*z**2)*(11 - 47*z) - 946</replace>
Simplifying the partial expression: (-7*z**2)*(11 - 47*z)
Expanding the part (11 - 47*z) using the distributive property, and we got: (-47*z)*(-7*z**2) + 11*(-7*z**2)
Replacing (-7*z**2)*(11 - 47*z) with (-47*z)*(-7*z**2) + 11*(-7*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-47*z)*(-7*z**2) - 47*z*(-86) + 11*(-7)*z**2 - 946</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-47*z)*-86 = 4042*z
  (-47*z)*(-7*z**2) = 329*z**3
  11*-7*z**2 = -77*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 329*z**3 - 77*z**2 + 4042*z - 946</replace>
No more calculations needed.
<answer>329*z**3 - 77*z**2 + 4042*z - 946</answer>


Question:
Calculate the following: (-44*y**2 - 65*y)*(9*y**2 - 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: -396*y**4 + 119*y**3 + 1040*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: (-44*y**2 - 65*y)*(9*y**2 - 16*y)
Expanding the part (-44*y**2 - 65*y) using the distributive property, and we got: (-65*y)*(9*y**2 - 16*y) + (-44*y**2)*(9*y**2 - 16*y)
<replace-#Step 1>#Step 2:
Current expression: (-65*y)*(9*y**2 - 16*y) + (-44*y**2)*(9*y**2 - 16*y)</replace>
Simplifying the partial expression: (-65*y)*(9*y**2 - 16*y)
Expanding the part (9*y**2 - 16*y) using the distributive property, and we got: (-65*y)*(-16*y) + (-65*y)*(9*y**2)
Replacing (-65*y)*(9*y**2 - 16*y) with (-65*y)*(-16*y) + (-65*y)*(9*y**2) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-65*y)*(-16*y) + (-65*y)*(9*y**2) + (-44*y**2)*(9*y**2 - 16*y)</replace>
Simplifying the partial expression: (-44*y**2)*(9*y**2 - 16*y)
Expanding the part (9*y**2 - 16*y) using the distributive property, and we got: (-16*y)*(-44*y**2) + (-44*y**2)*(9*y**2)
Replacing (-44*y**2)*(9*y**2 - 16*y) with (-16*y)*(-44*y**2) + (-44*y**2)*(9*y**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-65*y)*(-16*y) + (-65*y)*(9*y**2) + (-16*y)*(-44*y**2) + (-44*y**2)*(9*y**2)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-16*y)*(-65*y) = 1040*y**2
  (-16*y)*(-44*y**2) = 704*y**3
  (9*y**2)*(-65*y) = -585*y**3
  (9*y**2)*(-44*y**2) = -396*y**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -396*y**4 - 585*y**3 + 704*y**3 + 1040*y**2</replace>
Combining like terms, got -396*y**4 + 119*y**3 + 1040*y**2
<replace-#Step 5>#Step 6:
Current expression: -396*y**4 + 119*y**3 + 1040*y**2</replace>
No more calculations needed.
<answer>-396*y**4 + 119*y**3 + 1040*y**2</answer>


Question:
Calculate the following: (11*z**2 + 12)*(-26*z**3 - 8*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: -286*z**5 - 400*z**3 + 22*z**2 - 96*z + 24

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (11*z**2 + 12)*(-26*z**3 - 8*z + 2)
Expanding the part (11*z**2 + 12) using the distributive property, and we got: (11*z**2)*(-26*z**3 - 8*z + 2) + 12*(-26*z**3 - 8*z + 2)
<replace-#Step 1>#Step 2:
Current expression: (11*z**2)*(-26*z**3 - 8*z + 2) + 12*(-26*z**3 - 8*z + 2)</replace>
Simplifying the partial expression: 12*(-26*z**3 - 8*z + 2)
Expanding the part (-26*z**3 - 8*z + 2) using the distributive property, and we got: -8*z*12 - 26*z**3*12 + 2*12
Replacing 12*(-26*z**3 - 8*z + 2) with -8*z*12 - 26*z**3*12 + 2*12 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -8*z*12 + (11*z**2)*(-26*z**3 - 8*z + 2) - 26*z**3*12 + 24</replace>
Simplifying the partial expression: (11*z**2)*(-26*z**3 - 8*z + 2)
Expanding the part (-26*z**3 - 8*z + 2) using the distributive property, and we got: (-8*z)*(11*z**2) + 2*(11*z**2) + (11*z**2)*(-26*z**3)
Replacing (11*z**2)*(-26*z**3 - 8*z + 2) with (-8*z)*(11*z**2) + 2*(11*z**2) + (11*z**2)*(-26*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-8*z)*(11*z**2) - 8*z*12 + 2*11*z**2 + (11*z**2)*(-26*z**3) - 26*z**3*12 + 24</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-26*z**3)*12 = -312*z**3
  (-26*z**3)*(11*z**2) = -286*z**5
  (-8*z)*12 = -96*z
  (-8*z)*(11*z**2) = -88*z**3
  2*11*z**2 = 22*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -286*z**5 - 312*z**3 - 88*z**3 + 22*z**2 - 96*z + 24</replace>
Combining like terms, got -286*z**5 - 400*z**3 + 22*z**2 - 96*z + 24
<replace-#Step 5>#Step 6:
Current expression: -286*z**5 - 400*z**3 + 22*z**2 - 96*z + 24</replace>
No more calculations needed.
<answer>-286*z**5 - 400*z**3 + 22*z**2 - 96*z + 24</answer>


Question:
Calculate the following: (-9*y**3 + 32*y**2 + 11)*(34*y**3 - 21*y**2 + 47)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -306*y**6 + 1277*y**5 - 672*y**4 - 49*y**3 + 1273*y**2 + 517


Question:
Simplify this expression: 6360*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: 6360*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: 6360*x**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: 6360*x**2</replace>
No more calculations needed.
<answer>6360*x**2</answer>


Question:
Calculate the following: (16*z**3 - 14*z)*(-75*z**3 - 24*z**2 - 14)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1200*z**6 - 384*z**5 + 1050*z**4 + 112*z**3 + 196*z


Question:
Simplify this expression: (27*y - 70)*(-36*y**2 - 31*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: -972*y**3 + 1683*y**2 + 2170*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: (27*y - 70)*(-36*y**2 - 31*y)
Expanding the part (27*y - 70) using the distributive property, and we got: (27*y)*(-36*y**2 - 31*y) - 70*(-36*y**2 - 31*y)
<replace-#Step 1>#Step 2:
Current expression: (27*y)*(-36*y**2 - 31*y) - 70*(-36*y**2 - 31*y)</replace>
Simplifying the partial expression: -70*(-36*y**2 - 31*y)
Expanding the part (-36*y**2 - 31*y) using the distributive property, and we got: -31*y*(-70) - 36*y**2*(-70)
Replacing -70*(-36*y**2 - 31*y) with -31*y*(-70) - 36*y**2*(-70) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -31*y*(-70) + (27*y)*(-36*y**2 - 31*y) - 36*y**2*(-70)</replace>
Simplifying the partial expression: (27*y)*(-36*y**2 - 31*y)
Expanding the part (-36*y**2 - 31*y) using the distributive property, and we got: (-31*y)*(27*y) + (27*y)*(-36*y**2)
Replacing (27*y)*(-36*y**2 - 31*y) with (-31*y)*(27*y) + (27*y)*(-36*y**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-31*y)*(27*y) - 31*y*(-70) + (27*y)*(-36*y**2) - 36*y**2*(-70)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-36*y**2)*-70 = 2520*y**2
  (-36*y**2)*(27*y) = -972*y**3
  (-31*y)*-70 = 2170*y
  (-31*y)*(27*y) = -837*y**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -972*y**3 - 837*y**2 + 2520*y**2 + 2170*y</replace>
Combining like terms, got -972*y**3 + 1683*y**2 + 2170*y
<replace-#Step 5>#Step 6:
Current expression: -972*y**3 + 1683*y**2 + 2170*y</replace>
No more calculations needed.
<answer>-972*y**3 + 1683*y**2 + 2170*y</answer>


Question:
Calculate the following: (-39*z**3 - 26*z - 44)*(41*z**3 + 47*z**2 - 20*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: -1599*z**6 - 1833*z**5 - 286*z**4 - 3026*z**3 - 1548*z**2 + 880*z


Question:
Simplify this expression: -32*y**3*(17*y**2 - 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: -544*y**5 + 352*y**3

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: -32*y**3*(17*y**2 - 11)
Expanding the part (17*y**2 - 11) using the distributive property, and we got: -(-1)*352*y**3 + (17*y**2)*(-32*y**3)
<replace-#Step 1>#Step 2:
Current expression: -(-1)*352*y**3 + (17*y**2)*(-32*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -11*(-32*y**3) = 352*y**3
  (17*y**2)*(-32*y**3) = -544*y**5
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -544*y**5 + 352*y**3</replace>
No more calculations needed.
<answer>-544*y**5 + 352*y**3</answer>


Question:
Simplify this expression: (-9*x**3 - 27*x - 28)*(25*x**3 - 11*x**2 + 46)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -225*x**6 + 99*x**5 - 675*x**4 - 817*x**3 + 308*x**2 - 1242*x - 1288


Question:
Calculate the following: -41*y**2*(23*y**3 - 4*y**2 + 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: -943*y**5 + 164*y**4 - 1804*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: -41*y**2*(23*y**3 - 4*y**2 + 44)
Expanding the part (23*y**3 - 4*y**2 + 44) using the distributive property, and we got: 44*(-41*y**2) + (-41*y**2)*(-4*y**2) + (-41*y**2)*(23*y**3)
<replace-#Step 1>#Step 2:
Current expression: 44*(-41*y**2) + (-41*y**2)*(-4*y**2) + (-41*y**2)*(23*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  44*(-41*y**2) = -1804*y**2
  (-4*y**2)*(-41*y**2) = 164*y**4
  (23*y**3)*(-41*y**2) = -943*y**5
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -943*y**5 + 164*y**4 - 1804*y**2</replace>
No more calculations needed.
<answer>-943*y**5 + 164*y**4 - 1804*y**2</answer>


Question:
Simplify this expression: (-x**3 - 9)*(49*x**3 - 45*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: -49*x**6 + 45*x**5 - 441*x**3 + 405*x**2

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-x**3 - 9)*(49*x**3 - 45*x**2)
Expanding the part (-x**3 - 9) using the distributive property, and we got: (-x**3)*(49*x**3 - 45*x**2) - 9*(49*x**3 - 45*x**2)
<replace-#Step 1>#Step 2:
Current expression: (-x**3)*(49*x**3 - 45*x**2) - 9*(49*x**3 - 45*x**2)</replace>
Simplifying the partial expression: -9*(49*x**3 - 45*x**2)
Expanding the part (49*x**3 - 45*x**2) using the distributive property, and we got: -45*x**2*(-9) + (49*x**3)*(-9)
Replacing -9*(49*x**3 - 45*x**2) with -45*x**2*(-9) + (49*x**3)*(-9) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -45*x**2*(-9) + (-x**3)*(49*x**3 - 45*x**2) + (49*x**3)*(-9)</replace>
Simplifying the partial expression: (-x**3)*(49*x**3 - 45*x**2)
Expanding the part (49*x**3 - 45*x**2) using the distributive property, and we got: (-45*x**2)*(-x**3) + (-x**3)*(49*x**3)
Replacing (-x**3)*(49*x**3 - 45*x**2) with (-45*x**2)*(-x**3) + (-x**3)*(49*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-45*x**2)*(-x**3) - 45*x**2*(-9) + (-x**3)*(49*x**3) + (49*x**3)*(-9)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-45*x**2)*-9 = 405*x**2
  (-45*x**2)*(-x**3) = 45*x**5
  (49*x**3)*-9 = -441*x**3
  (49*x**3)*(-x**3) = -49*x**6
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -49*x**6 + 45*x**5 - 441*x**3 + 405*x**2</replace>
No more calculations needed.
<answer>-49*x**6 + 45*x**5 - 441*x**3 + 405*x**2</answer>


Question:
Simplify this expression: (37*y**2 - 56)*(-16*y**3 - 35)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -592*y**5 + 896*y**3 - 1295*y**2 + 1960

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*y**2 - 56)*(-16*y**3 - 35)
Expanding the part (37*y**2 - 56) using the distributive property, and we got: (37*y**2)*(-16*y**3 - 35) - 56*(-16*y**3 - 35)
<replace-#Step 1>#Step 2:
Current expression: (37*y**2)*(-16*y**3 - 35) - 56*(-16*y**3 - 35)</replace>
Simplifying the partial expression: -56*(-16*y**3 - 35)
Expanding the part (-16*y**3 - 35) using the distributive property, and we got: -16*y**3*(-56) - 35*(-56)
Replacing -56*(-16*y**3 - 35) with -16*y**3*(-56) - 35*(-56) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (37*y**2)*(-16*y**3 - 35) - 16*y**3*(-56) + 1960</replace>
Simplifying the partial expression: (37*y**2)*(-16*y**3 - 35)
Expanding the part (-16*y**3 - 35) using the distributive property, and we got: -1295*y**2 + (37*y**2)*(-16*y**3)
Replacing (37*y**2)*(-16*y**3 - 35) with -1295*y**2 + (37*y**2)*(-16*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -35*37*y**2 + (37*y**2)*(-16*y**3) - 16*y**3*(-56) + 1960</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-16*y**3)*-56 = 896*y**3
  (-16*y**3)*(37*y**2) = -592*y**5
  -35*37*y**2 = -1295*y**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -592*y**5 + 896*y**3 - 1295*y**2 + 1960</replace>
No more calculations needed.
<answer>-592*y**5 + 896*y**3 - 1295*y**2 + 1960</answer>


Question:
Calculate the following: (20*z**3 + 3*z**2)*(-13*z**3 + 8*z**2 + 37*z)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -260*z**6 + 121*z**5 + 764*z**4 + 111*z**3


Question:
Calculate the following: (-28*y**3 - 50*y)*(19*y**3 - 12*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: -532*y**6 - 614*y**4 - 56*y**3 + 600*y**2 - 100*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: (-28*y**3 - 50*y)*(19*y**3 - 12*y + 2)
Expanding the part (-28*y**3 - 50*y) using the distributive property, and we got: (-50*y)*(19*y**3 - 12*y + 2) + (-28*y**3)*(19*y**3 - 12*y + 2)
<replace-#Step 1>#Step 2:
Current expression: (-50*y)*(19*y**3 - 12*y + 2) + (-28*y**3)*(19*y**3 - 12*y + 2)</replace>
Simplifying the partial expression: (-50*y)*(19*y**3 - 12*y + 2)
Expanding the part (19*y**3 - 12*y + 2) using the distributive property, and we got: (-50*y)*(-12*y) + (-50*y)*(19*y**3) + 2*(-50*y)
Replacing (-50*y)*(19*y**3 - 12*y + 2) with (-50*y)*(-12*y) + (-50*y)*(19*y**3) + 2*(-50*y) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-50*y)*(-12*y) + (-50*y)*(19*y**3) + 2*(-50)*y + (-28*y**3)*(19*y**3 - 12*y + 2)</replace>
Simplifying the partial expression: (-28*y**3)*(19*y**3 - 12*y + 2)
Expanding the part (19*y**3 - 12*y + 2) using the distributive property, and we got: (-12*y)*(-28*y**3) + 2*(-28*y**3) + (-28*y**3)*(19*y**3)
Replacing (-28*y**3)*(19*y**3 - 12*y + 2) with (-12*y)*(-28*y**3) + 2*(-28*y**3) + (-28*y**3)*(19*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-50*y)*(-12*y) + (-50*y)*(19*y**3) + (-12*y)*(-28*y**3) + 2*(-28)*y**3 + 2*(-50)*y + (-28*y**3)*(19*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-12*y)*(-50*y) = 600*y**2
  (-12*y)*(-28*y**3) = 336*y**4
  (19*y**3)*(-50*y) = -950*y**4
  (19*y**3)*(-28*y**3) = -532*y**6
  2*-50*y = -100*y
  2*-28*y**3 = -56*y**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -532*y**6 - 950*y**4 + 336*y**4 - 56*y**3 + 600*y**2 - 100*y</replace>
Combining like terms, got -532*y**6 - 614*y**4 - 56*y**3 + 600*y**2 - 100*y
<replace-#Step 5>#Step 6:
Current expression: -532*y**6 - 614*y**4 - 56*y**3 + 600*y**2 - 100*y</replace>
No more calculations needed.
<answer>-532*y**6 - 614*y**4 - 56*y**3 + 600*y**2 - 100*y</answer>


Question:
Simplify this expression: (-37*z**2 - 19)*(z**3 - 5)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -37*z**5 - 19*z**3 + 185*z**2 + 95

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-37*z**2 - 19)*(z**3 - 5)
Expanding the part (-37*z**2 - 19) using the distributive property, and we got: (-37*z**2)*(z**3 - 5) - 19*(z**3 - 5)
<replace-#Step 1>#Step 2:
Current expression: (-37*z**2)*(z**3 - 5) - 19*(z**3 - 5)</replace>
Simplifying the partial expression: -19*(z**3 - 5)
Expanding the part (z**3 - 5) using the distributive property, and we got: z**3*(-19) - 5*(-19)
Replacing -19*(z**3 - 5) with z**3*(-19) - 5*(-19) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: z**3*(-19) + (-37*z**2)*(z**3 - 5) + 95</replace>
Simplifying the partial expression: (-37*z**2)*(z**3 - 5)
Expanding the part (z**3 - 5) using the distributive property, and we got: (-37*z**2)*z**3 - (-1)*185*z**2
Replacing (-37*z**2)*(z**3 - 5) with (-37*z**2)*z**3 - (-1)*185*z**2 in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-37*z**2)*z**3 + z**3*(-19) - 5*(-37)*z**2 + 95</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  z**3*-19 = -19*z**3
  z**3*(-37*z**2) = -37*z**5
  -5*-37*z**2 = 185*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -37*z**5 - 19*z**3 + 185*z**2 + 95</replace>
No more calculations needed.
<answer>-37*z**5 - 19*z**3 + 185*z**2 + 95</answer>


Question:
Simplify this expression: (-54*x**3 - 21*x)*(-14*x**3 - 36*x**2 + 17*x + 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: 756*x**6 + 1944*x**5 - 624*x**4 - 702*x**3 - 357*x**2 - 567*x


Question:
Simplify this expression: (-33*z**3 - 22*z**2 + 24)*(38*z**3 + 10*z**2 + 65*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: -1254*z**6 - 1166*z**5 - 2365*z**4 - 518*z**3 + 240*z**2 + 1560*z