Question:
Calculate the following: (-70*x**3 + 17*x)*(5*x**2 + 19*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: -350*x**5 - 1330*x**4 + 575*x**3 + 323*x**2 - 119*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: (-70*x**3 + 17*x)*(5*x**2 + 19*x - 7)
Expanding the part (-70*x**3 + 17*x) using the distributive property, and we got: (17*x)*(5*x**2 + 19*x - 7) + (-70*x**3)*(5*x**2 + 19*x - 7)
<replace-#Step 1>#Step 2:
Current expression: (17*x)*(5*x**2 + 19*x - 7) + (-70*x**3)*(5*x**2 + 19*x - 7)</replace>
Simplifying the partial expression: (-70*x**3)*(5*x**2 + 19*x - 7)
Expanding the part (5*x**2 + 19*x - 7) using the distributive property, and we got: -(-1)*490*x**3 + (19*x)*(-70*x**3) + (5*x**2)*(-70*x**3)
Replacing (-70*x**3)*(5*x**2 + 19*x - 7) with -(-1)*490*x**3 + (19*x)*(-70*x**3) + (5*x**2)*(-70*x**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -7*(-70)*x**3 + (17*x)*(5*x**2 + 19*x - 7) + (19*x)*(-70*x**3) + (5*x**2)*(-70*x**3)</replace>
Simplifying the partial expression: (17*x)*(5*x**2 + 19*x - 7)
Expanding the part (5*x**2 + 19*x - 7) using the distributive property, and we got: -119*x + (17*x)*(19*x) + (17*x)*(5*x**2)
Replacing (17*x)*(5*x**2 + 19*x - 7) with -119*x + (17*x)*(19*x) + (17*x)*(5*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -7*(-70)*x**3 - 7*17*x + (17*x)*(19*x) + (17*x)*(5*x**2) + (19*x)*(-70*x**3) + (5*x**2)*(-70*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (5*x**2)*(-70*x**3) = -350*x**5
  (5*x**2)*(17*x) = 85*x**3
  (19*x)*(-70*x**3) = -1330*x**4
  (19*x)*(17*x) = 323*x**2
  -7*-70*x**3 = 490*x**3
  -7*17*x = -119*x
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -350*x**5 - 1330*x**4 + 85*x**3 + 490*x**3 + 323*x**2 - 119*x</replace>
Combining like terms, got -350*x**5 - 1330*x**4 + 575*x**3 + 323*x**2 - 119*x
<replace-#Step 5>#Step 6:
Current expression: -350*x**5 - 1330*x**4 + 575*x**3 + 323*x**2 - 119*x</replace>
No more calculations needed.
<answer>-350*x**5 - 1330*x**4 + 575*x**3 + 323*x**2 - 119*x</answer>


Question:
Simplify this expression: (49 - 30*z**3)*(7*z - 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: -210*z**4 + 1020*z**3 + 343*z - 1666

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 - 30*z**3)*(7*z - 34)
Expanding the part (7*z - 34) using the distributive property, and we got: (7*z)*(49 - 30*z**3) - 34*(49 - 30*z**3)
<replace-#Step 1>#Step 2:
Current expression: (7*z)*(49 - 30*z**3) - 34*(49 - 30*z**3)</replace>
Simplifying the partial expression: -34*(49 - 30*z**3)
Expanding the part (49 - 30*z**3) using the distributive property, and we got: -30*z**3*(-34) + 49*(-34)
Replacing -34*(49 - 30*z**3) with -30*z**3*(-34) + 49*(-34) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (7*z)*(49 - 30*z**3) - 30*z**3*(-34) - 1666</replace>
Simplifying the partial expression: (7*z)*(49 - 30*z**3)
Expanding the part (49 - 30*z**3) using the distributive property, and we got: 49*(7*z) + (7*z)*(-30*z**3)
Replacing (7*z)*(49 - 30*z**3) with 49*(7*z) + (7*z)*(-30*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 49*7*z + (7*z)*(-30*z**3) - 30*z**3*(-34) - 1666</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-30*z**3)*-34 = 1020*z**3
  (-30*z**3)*(7*z) = -210*z**4
  49*7*z = 343*z
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -210*z**4 + 1020*z**3 + 343*z - 1666</replace>
No more calculations needed.
<answer>-210*z**4 + 1020*z**3 + 343*z - 1666</answer>


Question:
Calculate the following: (18*y**2 + 2*y)*(-16*y**3 + 68*y**2 + 36*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: -288*y**5 + 1192*y**4 + 784*y**3 + 72*y**2


Question:
Calculate the following: (29*y + 6)*(-9*y**2 + 44*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: -261*y**3 + 1222*y**2 + 264*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 + 6)*(-9*y**2 + 44*y)
Expanding the part (29*y + 6) using the distributive property, and we got: (29*y)*(-9*y**2 + 44*y) + 6*(-9*y**2 + 44*y)
<replace-#Step 1>#Step 2:
Current expression: (29*y)*(-9*y**2 + 44*y) + 6*(-9*y**2 + 44*y)</replace>
Simplifying the partial expression: 6*(-9*y**2 + 44*y)
Expanding the part (-9*y**2 + 44*y) using the distributive property, and we got: (44*y)*6 - 9*y**2*6
Replacing 6*(-9*y**2 + 44*y) with (44*y)*6 - 9*y**2*6 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (29*y)*(-9*y**2 + 44*y) + (44*y)*6 - 9*y**2*6</replace>
Simplifying the partial expression: (29*y)*(-9*y**2 + 44*y)
Expanding the part (-9*y**2 + 44*y) using the distributive property, and we got: (29*y)*(44*y) + (29*y)*(-9*y**2)
Replacing (29*y)*(-9*y**2 + 44*y) with (29*y)*(44*y) + (29*y)*(-9*y**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (29*y)*(44*y) + (29*y)*(-9*y**2) + (44*y)*6 - 9*y**2*6</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-9*y**2)*6 = -54*y**2
  (-9*y**2)*(29*y) = -261*y**3
  (44*y)*6 = 264*y
  (44*y)*(29*y) = 1276*y**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -261*y**3 - 54*y**2 + 1276*y**2 + 264*y</replace>
Combining like terms, got -261*y**3 + 1222*y**2 + 264*y
<replace-#Step 5>#Step 6:
Current expression: -261*y**3 + 1222*y**2 + 264*y</replace>
No more calculations needed.
<answer>-261*y**3 + 1222*y**2 + 264*y</answer>


Question:
Calculate the following: (5*z**2 + 19*z)*(28*z**3 - 46*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: 140*z**5 + 302*z**4 - 874*z**3

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (5*z**2 + 19*z)*(28*z**3 - 46*z**2)
Expanding the part (28*z**3 - 46*z**2) using the distributive property, and we got: (-46*z**2)*(5*z**2 + 19*z) + (28*z**3)*(5*z**2 + 19*z)
<replace-#Step 1>#Step 2:
Current expression: (-46*z**2)*(5*z**2 + 19*z) + (28*z**3)*(5*z**2 + 19*z)</replace>
Simplifying the partial expression: (-46*z**2)*(5*z**2 + 19*z)
Expanding the part (5*z**2 + 19*z) using the distributive property, and we got: (19*z)*(-46*z**2) + (-46*z**2)*(5*z**2)
Replacing (-46*z**2)*(5*z**2 + 19*z) with (19*z)*(-46*z**2) + (-46*z**2)*(5*z**2) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (19*z)*(-46*z**2) + (-46*z**2)*(5*z**2) + (28*z**3)*(5*z**2 + 19*z)</replace>
Simplifying the partial expression: (28*z**3)*(5*z**2 + 19*z)
Expanding the part (5*z**2 + 19*z) using the distributive property, and we got: (19*z)*(28*z**3) + (5*z**2)*(28*z**3)
Replacing (28*z**3)*(5*z**2 + 19*z) with (19*z)*(28*z**3) + (5*z**2)*(28*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (19*z)*(-46*z**2) + (19*z)*(28*z**3) + (-46*z**2)*(5*z**2) + (5*z**2)*(28*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (5*z**2)*(-46*z**2) = -230*z**4
  (5*z**2)*(28*z**3) = 140*z**5
  (19*z)*(-46*z**2) = -874*z**3
  (19*z)*(28*z**3) = 532*z**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 140*z**5 - 230*z**4 + 532*z**4 - 874*z**3</replace>
Combining like terms, got 140*z**5 + 302*z**4 - 874*z**3
<replace-#Step 5>#Step 6:
Current expression: 140*z**5 + 302*z**4 - 874*z**3</replace>
No more calculations needed.
<answer>140*z**5 + 302*z**4 - 874*z**3</answer>


Question:
Calculate the following: (-26*x**2 + 27*x)*(-27*x**3 - 25*x**2)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 702*x**5 - 79*x**4 - 675*x**3

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-26*x**2 + 27*x)*(-27*x**3 - 25*x**2)
Expanding the part (-27*x**3 - 25*x**2) using the distributive property, and we got: (-25*x**2)*(-26*x**2 + 27*x) + (-27*x**3)*(-26*x**2 + 27*x)
<replace-#Step 1>#Step 2:
Current expression: (-25*x**2)*(-26*x**2 + 27*x) + (-27*x**3)*(-26*x**2 + 27*x)</replace>
Simplifying the partial expression: (-27*x**3)*(-26*x**2 + 27*x)
Expanding the part (-26*x**2 + 27*x) using the distributive property, and we got: (27*x)*(-27*x**3) + (-26*x**2)*(-27*x**3)
Replacing (-27*x**3)*(-26*x**2 + 27*x) with (27*x)*(-27*x**3) + (-26*x**2)*(-27*x**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (27*x)*(-27*x**3) + (-26*x**2)*(-27*x**3) + (-25*x**2)*(-26*x**2 + 27*x)</replace>
Simplifying the partial expression: (-25*x**2)*(-26*x**2 + 27*x)
Expanding the part (-26*x**2 + 27*x) using the distributive property, and we got: (27*x)*(-25*x**2) + (-26*x**2)*(-25*x**2)
Replacing (-25*x**2)*(-26*x**2 + 27*x) with (27*x)*(-25*x**2) + (-26*x**2)*(-25*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (27*x)*(-25*x**2) + (27*x)*(-27*x**3) + (-26*x**2)*(-25*x**2) + (-26*x**2)*(-27*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-26*x**2)*(-27*x**3) = 702*x**5
  (-26*x**2)*(-25*x**2) = 650*x**4
  (27*x)*(-27*x**3) = -729*x**4
  (27*x)*(-25*x**2) = -675*x**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 702*x**5 - 729*x**4 + 650*x**4 - 675*x**3</replace>
Combining like terms, got 702*x**5 - 79*x**4 - 675*x**3
<replace-#Step 5>#Step 6:
Current expression: 702*x**5 - 79*x**4 - 675*x**3</replace>
No more calculations needed.
<answer>702*x**5 - 79*x**4 - 675*x**3</answer>


Question:
Calculate the following: (27*x**3 + 73)*(33*x**2 + 2*x - 26)
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: 891*x**5 + 54*x**4 - 702*x**3 + 2409*x**2 + 146*x - 1898

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 + 73)*(33*x**2 + 2*x - 26)
Expanding the part (27*x**3 + 73) using the distributive property, and we got: (27*x**3)*(33*x**2 + 2*x - 26) + 73*(33*x**2 + 2*x - 26)
<replace-#Step 1>#Step 2:
Current expression: (27*x**3)*(33*x**2 + 2*x - 26) + 73*(33*x**2 + 2*x - 26)</replace>
Simplifying the partial expression: 73*(33*x**2 + 2*x - 26)
Expanding the part (33*x**2 + 2*x - 26) using the distributive property, and we got: (2*x)*73 + (33*x**2)*73 - 26*73
Replacing 73*(33*x**2 + 2*x - 26) with (2*x)*73 + (33*x**2)*73 - 26*73 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (2*x)*73 + (33*x**2)*73 + (27*x**3)*(33*x**2 + 2*x - 26) - 1898</replace>
Simplifying the partial expression: (27*x**3)*(33*x**2 + 2*x - 26)
Expanding the part (33*x**2 + 2*x - 26) using the distributive property, and we got: -702*x**3 + (2*x)*(27*x**3) + (33*x**2)*(27*x**3)
Replacing (27*x**3)*(33*x**2 + 2*x - 26) with -702*x**3 + (2*x)*(27*x**3) + (33*x**2)*(27*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -26*27*x**3 + (2*x)*(27*x**3) + (2*x)*73 + (33*x**2)*(27*x**3) + (33*x**2)*73 - 1898</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (2*x)*73 = 146*x
  (2*x)*(27*x**3) = 54*x**4
  (33*x**2)*73 = 2409*x**2
  (33*x**2)*(27*x**3) = 891*x**5
  -26*27*x**3 = -702*x**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 891*x**5 + 54*x**4 - 702*x**3 + 2409*x**2 + 146*x - 1898</replace>
No more calculations needed.
<answer>891*x**5 + 54*x**4 - 702*x**3 + 2409*x**2 + 146*x - 1898</answer>


Question:
Calculate the following: (28*z - 34)*(42*z**3 + 11*z**2 + 41)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 1176*z**4 - 1120*z**3 - 374*z**2 + 1148*z - 1394

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (28*z - 34)*(42*z**3 + 11*z**2 + 41)
Expanding the part (28*z - 34) using the distributive property, and we got: (28*z)*(42*z**3 + 11*z**2 + 41) - 34*(42*z**3 + 11*z**2 + 41)
<replace-#Step 1>#Step 2:
Current expression: (28*z)*(42*z**3 + 11*z**2 + 41) - 34*(42*z**3 + 11*z**2 + 41)</replace>
Simplifying the partial expression: -34*(42*z**3 + 11*z**2 + 41)
Expanding the part (42*z**3 + 11*z**2 + 41) using the distributive property, and we got: (11*z**2)*(-34) + (42*z**3)*(-34) + 41*(-34)
Replacing -34*(42*z**3 + 11*z**2 + 41) with (11*z**2)*(-34) + (42*z**3)*(-34) + 41*(-34) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (28*z)*(42*z**3 + 11*z**2 + 41) + (11*z**2)*(-34) + (42*z**3)*(-34) - 1394</replace>
Simplifying the partial expression: (28*z)*(42*z**3 + 11*z**2 + 41)
Expanding the part (42*z**3 + 11*z**2 + 41) using the distributive property, and we got: 41*(28*z) + (28*z)*(11*z**2) + (28*z)*(42*z**3)
Replacing (28*z)*(42*z**3 + 11*z**2 + 41) with 41*(28*z) + (28*z)*(11*z**2) + (28*z)*(42*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 41*28*z + (28*z)*(11*z**2) + (28*z)*(42*z**3) + (11*z**2)*(-34) + (42*z**3)*(-34) - 1394</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (11*z**2)*-34 = -374*z**2
  (11*z**2)*(28*z) = 308*z**3
  (42*z**3)*-34 = -1428*z**3
  (42*z**3)*(28*z) = 1176*z**4
  41*28*z = 1148*z
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1176*z**4 - 1428*z**3 + 308*z**3 - 374*z**2 + 1148*z - 1394</replace>
Combining like terms, got 1176*z**4 - 1120*z**3 - 374*z**2 + 1148*z - 1394
<replace-#Step 5>#Step 6:
Current expression: 1176*z**4 - 1120*z**3 - 374*z**2 + 1148*z - 1394</replace>
No more calculations needed.
<answer>1176*z**4 - 1120*z**3 - 374*z**2 + 1148*z - 1394</answer>


Question:
Simplify this expression: (29*y**2 - 25*y - 17)*(-8*y**3 + 24*y**2 - y + 21)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -232*y**5 + 896*y**4 - 493*y**3 + 226*y**2 - 508*y - 357


Question:
Simplify this expression: (-5*z**3 - 14*z**2)*(47*z**2 - z - 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: -235*z**5 - 653*z**4 + 104*z**3 + 252*z**2

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-5*z**3 - 14*z**2)*(47*z**2 - z - 18)
Expanding the part (-5*z**3 - 14*z**2) using the distributive property, and we got: (-14*z**2)*(47*z**2 - z - 18) + (-5*z**3)*(47*z**2 - z - 18)
<replace-#Step 1>#Step 2:
Current expression: (-14*z**2)*(47*z**2 - z - 18) + (-5*z**3)*(47*z**2 - z - 18)</replace>
Simplifying the partial expression: (-14*z**2)*(47*z**2 - z - 18)
Expanding the part (47*z**2 - z - 18) using the distributive property, and we got: (-z)*(-14*z**2) - (-1)*252*z**2 + (-14*z**2)*(47*z**2)
Replacing (-14*z**2)*(47*z**2 - z - 18) with (-z)*(-14*z**2) - (-1)*252*z**2 + (-14*z**2)*(47*z**2) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-z)*(-14*z**2) - 18*(-14)*z**2 + (-14*z**2)*(47*z**2) + (-5*z**3)*(47*z**2 - z - 18)</replace>
Simplifying the partial expression: (-5*z**3)*(47*z**2 - z - 18)
Expanding the part (47*z**2 - z - 18) using the distributive property, and we got: (-z)*(-5*z**3) - (-1)*90*z**3 + (47*z**2)*(-5*z**3)
Replacing (-5*z**3)*(47*z**2 - z - 18) with (-z)*(-5*z**3) - (-1)*90*z**3 + (47*z**2)*(-5*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-z)*(-14*z**2) + (-z)*(-5*z**3) - 18*(-5)*z**3 - 18*(-14)*z**2 + (-14*z**2)*(47*z**2) + (47*z**2)*(-5*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-z)*(-14*z**2) = 14*z**3
  (-z)*(-5*z**3) = 5*z**4
  (47*z**2)*(-14*z**2) = -658*z**4
  (47*z**2)*(-5*z**3) = -235*z**5
  -18*-14*z**2 = 252*z**2
  -18*-5*z**3 = 90*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -235*z**5 - 658*z**4 + 5*z**4 + 14*z**3 + 90*z**3 + 252*z**2</replace>
Combining like terms, got -235*z**5 - 653*z**4 + 104*z**3 + 252*z**2
<replace-#Step 5>#Step 6:
Current expression: -235*z**5 - 653*z**4 + 104*z**3 + 252*z**2</replace>
No more calculations needed.
<answer>-235*z**5 - 653*z**4 + 104*z**3 + 252*z**2</answer>


Question:
Calculate the following: (28*x**3 + 21*x**2 - 3)*(45*x**3 - 32*x**2 - 13*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: 1260*x**6 + 49*x**5 - 1036*x**4 - 408*x**3 + 96*x**2 + 39*x


Question:
Calculate the following: -15*y**2*(19*y**3 + 18*y**2 + 34*y + 20)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -285*y**5 - 270*y**4 - 510*y**3 - 300*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: -15*y**2*(19*y**3 + 18*y**2 + 34*y + 20)
Expanding the part (19*y**3 + 18*y**2 + 34*y + 20) using the distributive property, and we got: 20*(-15*y**2) + (34*y)*(-15*y**2) + (-15*y**2)*(18*y**2) + (-15*y**2)*(19*y**3)
<replace-#Step 1>#Step 2:
Current expression: 20*(-15*y**2) + (34*y)*(-15*y**2) + (-15*y**2)*(18*y**2) + (-15*y**2)*(19*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  20*(-15*y**2) = -300*y**2
  (18*y**2)*(-15*y**2) = -270*y**4
  (19*y**3)*(-15*y**2) = -285*y**5
  (34*y)*(-15*y**2) = -510*y**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -285*y**5 - 270*y**4 - 510*y**3 - 300*y**2</replace>
No more calculations needed.
<answer>-285*y**5 - 270*y**4 - 510*y**3 - 300*y**2</answer>


Question:
Simplify this expression: (-7*y - 42)*(-20*y**3 - 18*y**2 - 30*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: 140*y**4 + 966*y**3 + 966*y**2 + 1260*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: (-7*y - 42)*(-20*y**3 - 18*y**2 - 30*y)
Expanding the part (-7*y - 42) using the distributive property, and we got: (-7*y)*(-20*y**3 - 18*y**2 - 30*y) - 42*(-20*y**3 - 18*y**2 - 30*y)
<replace-#Step 1>#Step 2:
Current expression: (-7*y)*(-20*y**3 - 18*y**2 - 30*y) - 42*(-20*y**3 - 18*y**2 - 30*y)</replace>
Simplifying the partial expression: -42*(-20*y**3 - 18*y**2 - 30*y)
Expanding the part (-20*y**3 - 18*y**2 - 30*y) using the distributive property, and we got: -30*y*(-42) - 18*y**2*(-42) - 20*y**3*(-42)
Replacing -42*(-20*y**3 - 18*y**2 - 30*y) with -30*y*(-42) - 18*y**2*(-42) - 20*y**3*(-42) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -30*y*(-42) + (-7*y)*(-20*y**3 - 18*y**2 - 30*y) - 18*y**2*(-42) - 20*y**3*(-42)</replace>
Simplifying the partial expression: (-7*y)*(-20*y**3 - 18*y**2 - 30*y)
Expanding the part (-20*y**3 - 18*y**2 - 30*y) using the distributive property, and we got: (-30*y)*(-7*y) + (-7*y)*(-18*y**2) + (-7*y)*(-20*y**3)
Replacing (-7*y)*(-20*y**3 - 18*y**2 - 30*y) with (-30*y)*(-7*y) + (-7*y)*(-18*y**2) + (-7*y)*(-20*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-30*y)*(-7*y) - 30*y*(-42) + (-7*y)*(-18*y**2) + (-7*y)*(-20*y**3) - 18*y**2*(-42) - 20*y**3*(-42)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-30*y)*-42 = 1260*y
  (-30*y)*(-7*y) = 210*y**2
  (-20*y**3)*-42 = 840*y**3
  (-20*y**3)*(-7*y) = 140*y**4
  (-18*y**2)*-42 = 756*y**2
  (-18*y**2)*(-7*y) = 126*y**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 140*y**4 + 126*y**3 + 840*y**3 + 210*y**2 + 756*y**2 + 1260*y</replace>
Combining like terms, got 140*y**4 + 966*y**3 + 966*y**2 + 1260*y
<replace-#Step 5>#Step 6:
Current expression: 140*y**4 + 966*y**3 + 966*y**2 + 1260*y</replace>
No more calculations needed.
<answer>140*y**4 + 966*y**3 + 966*y**2 + 1260*y</answer>


Question:
Calculate the following: (-43*z**3 + 46*z**2 + 48)*(27*z**3 + 45*z - 88)
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: -1161*z**6 + 1242*z**5 - 1935*z**4 + 7150*z**3 - 4048*z**2 + 2160*z - 4224


Question:
Simplify this expression: (21 - 42*x**2)*(-7*x**3 + 40*x + 44)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 294*x**5 - 1827*x**3 - 1848*x**2 + 840*x + 924

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 - 42*x**2)*(-7*x**3 + 40*x + 44)
Expanding the part (21 - 42*x**2) using the distributive property, and we got: (-42*x**2)*(-7*x**3 + 40*x + 44) + 21*(-7*x**3 + 40*x + 44)
<replace-#Step 1>#Step 2:
Current expression: (-42*x**2)*(-7*x**3 + 40*x + 44) + 21*(-7*x**3 + 40*x + 44)</replace>
Simplifying the partial expression: 21*(-7*x**3 + 40*x + 44)
Expanding the part (-7*x**3 + 40*x + 44) using the distributive property, and we got: (40*x)*21 - 7*x**3*21 + 44*21
Replacing 21*(-7*x**3 + 40*x + 44) with (40*x)*21 - 7*x**3*21 + 44*21 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (40*x)*21 + (-42*x**2)*(-7*x**3 + 40*x + 44) - 7*x**3*21 + 924</replace>
Simplifying the partial expression: (-42*x**2)*(-7*x**3 + 40*x + 44)
Expanding the part (-7*x**3 + 40*x + 44) using the distributive property, and we got: 44*(-42*x**2) + (40*x)*(-42*x**2) + (-42*x**2)*(-7*x**3)
Replacing (-42*x**2)*(-7*x**3 + 40*x + 44) with 44*(-42*x**2) + (40*x)*(-42*x**2) + (-42*x**2)*(-7*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 44*(-42)*x**2 + (40*x)*(-42*x**2) + (40*x)*21 + (-42*x**2)*(-7*x**3) - 7*x**3*21 + 924</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-7*x**3)*21 = -147*x**3
  (-7*x**3)*(-42*x**2) = 294*x**5
  (40*x)*21 = 840*x
  (40*x)*(-42*x**2) = -1680*x**3
  44*-42*x**2 = -1848*x**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 294*x**5 - 1680*x**3 - 147*x**3 - 1848*x**2 + 840*x + 924</replace>
Combining like terms, got 294*x**5 - 1827*x**3 - 1848*x**2 + 840*x + 924
<replace-#Step 5>#Step 6:
Current expression: 294*x**5 - 1827*x**3 - 1848*x**2 + 840*x + 924</replace>
No more calculations needed.
<answer>294*x**5 - 1827*x**3 - 1848*x**2 + 840*x + 924</answer>


Question:
Simplify this expression: 16*x*(15*x**3 + 44*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: 240*x**4 + 704*x**3 - 720*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: 16*x*(15*x**3 + 44*x**2 - 45)
Expanding the part (15*x**3 + 44*x**2 - 45) using the distributive property, and we got: -720*x + (16*x)*(44*x**2) + (16*x)*(15*x**3)
<replace-#Step 1>#Step 2:
Current expression: -720*x + (16*x)*(44*x**2) + (16*x)*(15*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -45*(16*x) = -720*x
  (15*x**3)*(16*x) = 240*x**4
  (44*x**2)*(16*x) = 704*x**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 240*x**4 + 704*x**3 - 720*x</replace>
No more calculations needed.
<answer>240*x**4 + 704*x**3 - 720*x</answer>


Question:
Calculate the following: -3*z**3*(31*z**3 - 61*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: -93*z**6 + 183*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: -3*z**3*(31*z**3 - 61*z)
Expanding the part (31*z**3 - 61*z) using the distributive property, and we got: (-61*z)*(-3*z**3) + (-3*z**3)*(31*z**3)
<replace-#Step 1>#Step 2:
Current expression: (-61*z)*(-3*z**3) + (-3*z**3)*(31*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-61*z)*(-3*z**3) = 183*z**4
  (31*z**3)*(-3*z**3) = -93*z**6
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -93*z**6 + 183*z**4</replace>
No more calculations needed.
<answer>-93*z**6 + 183*z**4</answer>


Question:
Calculate the following: (13 - 10*x**2)*(26*x**3 - 31*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: -260*x**5 + 310*x**4 + 338*x**3 - 403*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: (13 - 10*x**2)*(26*x**3 - 31*x**2)
Expanding the part (13 - 10*x**2) using the distributive property, and we got: (-10*x**2)*(26*x**3 - 31*x**2) + 13*(26*x**3 - 31*x**2)
<replace-#Step 1>#Step 2:
Current expression: (-10*x**2)*(26*x**3 - 31*x**2) + 13*(26*x**3 - 31*x**2)</replace>
Simplifying the partial expression: 13*(26*x**3 - 31*x**2)
Expanding the part (26*x**3 - 31*x**2) using the distributive property, and we got: -31*x**2*13 + (26*x**3)*13
Replacing 13*(26*x**3 - 31*x**2) with -31*x**2*13 + (26*x**3)*13 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -31*x**2*13 + (-10*x**2)*(26*x**3 - 31*x**2) + (26*x**3)*13</replace>
Simplifying the partial expression: (-10*x**2)*(26*x**3 - 31*x**2)
Expanding the part (26*x**3 - 31*x**2) using the distributive property, and we got: (-31*x**2)*(-10*x**2) + (-10*x**2)*(26*x**3)
Replacing (-10*x**2)*(26*x**3 - 31*x**2) with (-31*x**2)*(-10*x**2) + (-10*x**2)*(26*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-31*x**2)*(-10*x**2) - 31*x**2*13 + (-10*x**2)*(26*x**3) + (26*x**3)*13</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-31*x**2)*13 = -403*x**2
  (-31*x**2)*(-10*x**2) = 310*x**4
  (26*x**3)*13 = 338*x**3
  (26*x**3)*(-10*x**2) = -260*x**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -260*x**5 + 310*x**4 + 338*x**3 - 403*x**2</replace>
No more calculations needed.
<answer>-260*x**5 + 310*x**4 + 338*x**3 - 403*x**2</answer>


Question:
Simplify this expression: -74*x*(-19*x**3 + 24*x**2 - 24)
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: 1406*x**4 - 1776*x**3 + 1776*x

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: -74*x*(-19*x**3 + 24*x**2 - 24)
Expanding the part (-19*x**3 + 24*x**2 - 24) using the distributive property, and we got: (-74*x)*(24*x**2) + (-74*x)*(-19*x**3) - (-1)*1776*x
<replace-#Step 1>#Step 2:
Current expression: (-74*x)*(24*x**2) + (-74*x)*(-19*x**3) - (-1)*1776*x</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -24*(-74*x) = 1776*x
  (-19*x**3)*(-74*x) = 1406*x**4
  (24*x**2)*(-74*x) = -1776*x**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 1406*x**4 - 1776*x**3 + 1776*x</replace>
No more calculations needed.
<answer>1406*x**4 - 1776*x**3 + 1776*x</answer>


Question:
Simplify this expression: -850*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: -850*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: -850*y**2
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:

Replacing them in the overall expression.
<replace-#Step 1>#Step 2:
Current expression: -850*y**2</replace>
No more calculations needed.
<answer>-850*y**2</answer>


Question:
Calculate the following: (-22*y**3 + 12*y)*(15*y**3 + 45*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: -330*y**6 - 990*y**5 + 862*y**4 + 540*y**3 - 372*y**2


Question:
Calculate the following: (7*y**2 + 28*y)*(-6*y**3 - 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: -42*y**5 - 168*y**4 - 126*y**2 - 504*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: (7*y**2 + 28*y)*(-6*y**3 - 18)
Expanding the part (-6*y**3 - 18) using the distributive property, and we got: (-6*y**3)*(7*y**2 + 28*y) - 18*(7*y**2 + 28*y)
<replace-#Step 1>#Step 2:
Current expression: (-6*y**3)*(7*y**2 + 28*y) - 18*(7*y**2 + 28*y)</replace>
Simplifying the partial expression: -18*(7*y**2 + 28*y)
Expanding the part (7*y**2 + 28*y) using the distributive property, and we got: (28*y)*(-18) + (7*y**2)*(-18)
Replacing -18*(7*y**2 + 28*y) with (28*y)*(-18) + (7*y**2)*(-18) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (28*y)*(-18) + (7*y**2)*(-18) + (-6*y**3)*(7*y**2 + 28*y)</replace>
Simplifying the partial expression: (-6*y**3)*(7*y**2 + 28*y)
Expanding the part (7*y**2 + 28*y) using the distributive property, and we got: (28*y)*(-6*y**3) + (7*y**2)*(-6*y**3)
Replacing (-6*y**3)*(7*y**2 + 28*y) with (28*y)*(-6*y**3) + (7*y**2)*(-6*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (28*y)*(-6*y**3) + (28*y)*(-18) + (7*y**2)*(-6*y**3) + (7*y**2)*(-18)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (7*y**2)*-18 = -126*y**2
  (7*y**2)*(-6*y**3) = -42*y**5
  (28*y)*-18 = -504*y
  (28*y)*(-6*y**3) = -168*y**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -42*y**5 - 168*y**4 - 126*y**2 - 504*y</replace>
No more calculations needed.
<answer>-42*y**5 - 168*y**4 - 126*y**2 - 504*y</answer>


Question:
Simplify this expression: 32*x*(-35*x**3 + 4*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: -1120*x**4 + 128*x**3

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: 32*x*(-35*x**3 + 4*x**2)
Expanding the part (-35*x**3 + 4*x**2) using the distributive property, and we got: (32*x)*(4*x**2) + (32*x)*(-35*x**3)
<replace-#Step 1>#Step 2:
Current expression: (32*x)*(4*x**2) + (32*x)*(-35*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-35*x**3)*(32*x) = -1120*x**4
  (4*x**2)*(32*x) = 128*x**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -1120*x**4 + 128*x**3</replace>
No more calculations needed.
<answer>-1120*x**4 + 128*x**3</answer>


Question:
Calculate the following: (42*y**2 - 44*y + 30)*(-9*y**3 - 24*y + 39)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -378*y**5 + 396*y**4 - 1278*y**3 + 2694*y**2 - 2436*y + 1170


Question:
Simplify this expression: -2623*x**3 - 732*x**2 - 610
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: -2623*x**3 - 732*x**2 - 610

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: -2623*x**3 - 732*x**2 - 610
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: -2623*x**3 - 732*x**2 - 610</replace>
No more calculations needed.
<answer>-2623*x**3 - 732*x**2 - 610</answer>


Question:
Calculate the following: (-41*y - 6)*(30*y**2 + 49)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1230*y**3 - 180*y**2 - 2009*y - 294

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 - 6)*(30*y**2 + 49)
Expanding the part (-41*y - 6) using the distributive property, and we got: (-41*y)*(30*y**2 + 49) - 6*(30*y**2 + 49)
<replace-#Step 1>#Step 2:
Current expression: (-41*y)*(30*y**2 + 49) - 6*(30*y**2 + 49)</replace>
Simplifying the partial expression: -6*(30*y**2 + 49)
Expanding the part (30*y**2 + 49) using the distributive property, and we got: (30*y**2)*(-6) + 49*(-6)
Replacing -6*(30*y**2 + 49) with (30*y**2)*(-6) + 49*(-6) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-41*y)*(30*y**2 + 49) + (30*y**2)*(-6) - 294</replace>
Simplifying the partial expression: (-41*y)*(30*y**2 + 49)
Expanding the part (30*y**2 + 49) using the distributive property, and we got: (-41*y)*(30*y**2) + 49*(-41*y)
Replacing (-41*y)*(30*y**2 + 49) with (-41*y)*(30*y**2) + 49*(-41*y) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-41*y)*(30*y**2) + 49*(-41)*y + (30*y**2)*(-6) - 294</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (30*y**2)*-6 = -180*y**2
  (30*y**2)*(-41*y) = -1230*y**3
  49*-41*y = -2009*y
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1230*y**3 - 180*y**2 - 2009*y - 294</replace>
No more calculations needed.
<answer>-1230*y**3 - 180*y**2 - 2009*y - 294</answer>


Question:
Simplify this expression: (-19*z - 21)*(-26*z**2 + 45*z)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 494*z**3 - 309*z**2 - 945*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: (-19*z - 21)*(-26*z**2 + 45*z)
Expanding the part (-19*z - 21) using the distributive property, and we got: (-19*z)*(-26*z**2 + 45*z) - 21*(-26*z**2 + 45*z)
<replace-#Step 1>#Step 2:
Current expression: (-19*z)*(-26*z**2 + 45*z) - 21*(-26*z**2 + 45*z)</replace>
Simplifying the partial expression: -21*(-26*z**2 + 45*z)
Expanding the part (-26*z**2 + 45*z) using the distributive property, and we got: (45*z)*(-21) - 26*z**2*(-21)
Replacing -21*(-26*z**2 + 45*z) with (45*z)*(-21) - 26*z**2*(-21) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-19*z)*(-26*z**2 + 45*z) + (45*z)*(-21) - 26*z**2*(-21)</replace>
Simplifying the partial expression: (-19*z)*(-26*z**2 + 45*z)
Expanding the part (-26*z**2 + 45*z) using the distributive property, and we got: (-19*z)*(45*z) + (-19*z)*(-26*z**2)
Replacing (-19*z)*(-26*z**2 + 45*z) with (-19*z)*(45*z) + (-19*z)*(-26*z**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-19*z)*(45*z) + (-19*z)*(-26*z**2) + (45*z)*(-21) - 26*z**2*(-21)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-26*z**2)*-21 = 546*z**2
  (-26*z**2)*(-19*z) = 494*z**3
  (45*z)*-21 = -945*z
  (45*z)*(-19*z) = -855*z**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 494*z**3 - 855*z**2 + 546*z**2 - 945*z</replace>
Combining like terms, got 494*z**3 - 309*z**2 - 945*z
<replace-#Step 5>#Step 6:
Current expression: 494*z**3 - 309*z**2 - 945*z</replace>
No more calculations needed.
<answer>494*z**3 - 309*z**2 - 945*z</answer>


Question:
Simplify this expression: (-47*y - 59)*(-34*y**2 + 28*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: 1598*y**3 + 690*y**2 - 1652*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: (-47*y - 59)*(-34*y**2 + 28*y)
Expanding the part (-47*y - 59) using the distributive property, and we got: (-47*y)*(-34*y**2 + 28*y) - 59*(-34*y**2 + 28*y)
<replace-#Step 1>#Step 2:
Current expression: (-47*y)*(-34*y**2 + 28*y) - 59*(-34*y**2 + 28*y)</replace>
Simplifying the partial expression: -59*(-34*y**2 + 28*y)
Expanding the part (-34*y**2 + 28*y) using the distributive property, and we got: (28*y)*(-59) - 34*y**2*(-59)
Replacing -59*(-34*y**2 + 28*y) with (28*y)*(-59) - 34*y**2*(-59) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-47*y)*(-34*y**2 + 28*y) + (28*y)*(-59) - 34*y**2*(-59)</replace>
Simplifying the partial expression: (-47*y)*(-34*y**2 + 28*y)
Expanding the part (-34*y**2 + 28*y) using the distributive property, and we got: (-47*y)*(28*y) + (-47*y)*(-34*y**2)
Replacing (-47*y)*(-34*y**2 + 28*y) with (-47*y)*(28*y) + (-47*y)*(-34*y**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-47*y)*(28*y) + (-47*y)*(-34*y**2) + (28*y)*(-59) - 34*y**2*(-59)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-34*y**2)*-59 = 2006*y**2
  (-34*y**2)*(-47*y) = 1598*y**3
  (28*y)*-59 = -1652*y
  (28*y)*(-47*y) = -1316*y**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1598*y**3 - 1316*y**2 + 2006*y**2 - 1652*y</replace>
Combining like terms, got 1598*y**3 + 690*y**2 - 1652*y
<replace-#Step 5>#Step 6:
Current expression: 1598*y**3 + 690*y**2 - 1652*y</replace>
No more calculations needed.
<answer>1598*y**3 + 690*y**2 - 1652*y</answer>


Question:
Calculate the following: (24*z**3 - 85*z**2)*(-24*z**3 + 15*z**2 + 7*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: -576*z**6 + 2400*z**5 - 1107*z**4 - 595*z**3


Question:
Simplify this expression: (24 - x**3)*(27*x**3 - 26*x**2 + 48*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: -27*x**6 + 26*x**5 - 48*x**4 + 648*x**3 - 624*x**2 + 1152*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: (24 - x**3)*(27*x**3 - 26*x**2 + 48*x)
Expanding the part (24 - x**3) using the distributive property, and we got: (-x**3)*(27*x**3 - 26*x**2 + 48*x) + 24*(27*x**3 - 26*x**2 + 48*x)
<replace-#Step 1>#Step 2:
Current expression: (-x**3)*(27*x**3 - 26*x**2 + 48*x) + 24*(27*x**3 - 26*x**2 + 48*x)</replace>
Simplifying the partial expression: 24*(27*x**3 - 26*x**2 + 48*x)
Expanding the part (27*x**3 - 26*x**2 + 48*x) using the distributive property, and we got: (48*x)*24 - 26*x**2*24 + (27*x**3)*24
Replacing 24*(27*x**3 - 26*x**2 + 48*x) with (48*x)*24 - 26*x**2*24 + (27*x**3)*24 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (48*x)*24 - 26*x**2*24 + (-x**3)*(27*x**3 - 26*x**2 + 48*x) + (27*x**3)*24</replace>
Simplifying the partial expression: (-x**3)*(27*x**3 - 26*x**2 + 48*x)
Expanding the part (27*x**3 - 26*x**2 + 48*x) using the distributive property, and we got: (48*x)*(-x**3) + (-26*x**2)*(-x**3) + (-x**3)*(27*x**3)
Replacing (-x**3)*(27*x**3 - 26*x**2 + 48*x) with (48*x)*(-x**3) + (-26*x**2)*(-x**3) + (-x**3)*(27*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (48*x)*(-x**3) + (48*x)*24 + (-26*x**2)*(-x**3) - 26*x**2*24 + (-x**3)*(27*x**3) + (27*x**3)*24</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-26*x**2)*24 = -624*x**2
  (-26*x**2)*(-x**3) = 26*x**5
  (27*x**3)*24 = 648*x**3
  (27*x**3)*(-x**3) = -27*x**6
  (48*x)*24 = 1152*x
  (48*x)*(-x**3) = -48*x**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -27*x**6 + 26*x**5 - 48*x**4 + 648*x**3 - 624*x**2 + 1152*x</replace>
No more calculations needed.
<answer>-27*x**6 + 26*x**5 - 48*x**4 + 648*x**3 - 624*x**2 + 1152*x</answer>


Question:
Calculate the following: (21*x**3 - 5*x)*(48*x**3 + 37*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: 1008*x**6 + 777*x**5 - 240*x**4 - 185*x**3

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (21*x**3 - 5*x)*(48*x**3 + 37*x**2)
Expanding the part (21*x**3 - 5*x) using the distributive property, and we got: (-5*x)*(48*x**3 + 37*x**2) + (21*x**3)*(48*x**3 + 37*x**2)
<replace-#Step 1>#Step 2:
Current expression: (-5*x)*(48*x**3 + 37*x**2) + (21*x**3)*(48*x**3 + 37*x**2)</replace>
Simplifying the partial expression: (-5*x)*(48*x**3 + 37*x**2)
Expanding the part (48*x**3 + 37*x**2) using the distributive property, and we got: (-5*x)*(37*x**2) + (-5*x)*(48*x**3)
Replacing (-5*x)*(48*x**3 + 37*x**2) with (-5*x)*(37*x**2) + (-5*x)*(48*x**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-5*x)*(37*x**2) + (-5*x)*(48*x**3) + (21*x**3)*(48*x**3 + 37*x**2)</replace>
Simplifying the partial expression: (21*x**3)*(48*x**3 + 37*x**2)
Expanding the part (48*x**3 + 37*x**2) using the distributive property, and we got: (37*x**2)*(21*x**3) + (21*x**3)*(48*x**3)
Replacing (21*x**3)*(48*x**3 + 37*x**2) with (37*x**2)*(21*x**3) + (21*x**3)*(48*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-5*x)*(37*x**2) + (-5*x)*(48*x**3) + (37*x**2)*(21*x**3) + (21*x**3)*(48*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (37*x**2)*(-5*x) = -185*x**3
  (37*x**2)*(21*x**3) = 777*x**5
  (48*x**3)*(-5*x) = -240*x**4
  (48*x**3)*(21*x**3) = 1008*x**6
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 1008*x**6 + 777*x**5 - 240*x**4 - 185*x**3</replace>
No more calculations needed.
<answer>1008*x**6 + 777*x**5 - 240*x**4 - 185*x**3</answer>


Question:
Simplify this expression: (20*x**2 - 5)*(15*x**3 - 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: 300*x**5 - 75*x**3 - 40*x**2 + 10

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (20*x**2 - 5)*(15*x**3 - 2)
Expanding the part (20*x**2 - 5) using the distributive property, and we got: (20*x**2)*(15*x**3 - 2) - 5*(15*x**3 - 2)
<replace-#Step 1>#Step 2:
Current expression: (20*x**2)*(15*x**3 - 2) - 5*(15*x**3 - 2)</replace>
Simplifying the partial expression: -5*(15*x**3 - 2)
Expanding the part (15*x**3 - 2) using the distributive property, and we got: (15*x**3)*(-5) - 2*(-5)
Replacing -5*(15*x**3 - 2) with (15*x**3)*(-5) - 2*(-5) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (20*x**2)*(15*x**3 - 2) + (15*x**3)*(-5) + 10</replace>
Simplifying the partial expression: (20*x**2)*(15*x**3 - 2)
Expanding the part (15*x**3 - 2) using the distributive property, and we got: -40*x**2 + (20*x**2)*(15*x**3)
Replacing (20*x**2)*(15*x**3 - 2) with -40*x**2 + (20*x**2)*(15*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -2*20*x**2 + (20*x**2)*(15*x**3) + (15*x**3)*(-5) + 10</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (15*x**3)*-5 = -75*x**3
  (15*x**3)*(20*x**2) = 300*x**5
  -2*20*x**2 = -40*x**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 300*x**5 - 75*x**3 - 40*x**2 + 10</replace>
No more calculations needed.
<answer>300*x**5 - 75*x**3 - 40*x**2 + 10</answer>


Question:
Calculate the following: (11*y**3 + 22*y**2)*(-46*y**3 - 39*y - 39)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -506*y**6 - 1012*y**5 - 429*y**4 - 1287*y**3 - 858*y**2


Question:
Calculate the following: (-4*z**3 + 4*z)*(-19*z**3 - 20*z + 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: 76*z**6 + 4*z**4 - 100*z**3 - 80*z**2 + 100*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*z**3 + 4*z)*(-19*z**3 - 20*z + 25)
Expanding the part (-4*z**3 + 4*z) using the distributive property, and we got: (4*z)*(-19*z**3 - 20*z + 25) + (-4*z**3)*(-19*z**3 - 20*z + 25)
<replace-#Step 1>#Step 2:
Current expression: (4*z)*(-19*z**3 - 20*z + 25) + (-4*z**3)*(-19*z**3 - 20*z + 25)</replace>
Simplifying the partial expression: (-4*z**3)*(-19*z**3 - 20*z + 25)
Expanding the part (-19*z**3 - 20*z + 25) using the distributive property, and we got: (-20*z)*(-4*z**3) + 25*(-4*z**3) + (-19*z**3)*(-4*z**3)
Replacing (-4*z**3)*(-19*z**3 - 20*z + 25) with (-20*z)*(-4*z**3) + 25*(-4*z**3) + (-19*z**3)*(-4*z**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-20*z)*(-4*z**3) + 25*(-4)*z**3 + (4*z)*(-19*z**3 - 20*z + 25) + (-19*z**3)*(-4*z**3)</replace>
Simplifying the partial expression: (4*z)*(-19*z**3 - 20*z + 25)
Expanding the part (-19*z**3 - 20*z + 25) using the distributive property, and we got: (-20*z)*(4*z) + 25*(4*z) + (4*z)*(-19*z**3)
Replacing (4*z)*(-19*z**3 - 20*z + 25) with (-20*z)*(4*z) + 25*(4*z) + (4*z)*(-19*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-20*z)*(4*z) + (-20*z)*(-4*z**3) + 25*(-4)*z**3 + 25*4*z + (4*z)*(-19*z**3) + (-19*z**3)*(-4*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-20*z)*(-4*z**3) = 80*z**4
  (-20*z)*(4*z) = -80*z**2
  (-19*z**3)*(-4*z**3) = 76*z**6
  (-19*z**3)*(4*z) = -76*z**4
  25*-4*z**3 = -100*z**3
  25*4*z = 100*z
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 76*z**6 - 76*z**4 + 80*z**4 - 100*z**3 - 80*z**2 + 100*z</replace>
Combining like terms, got 76*z**6 + 4*z**4 - 100*z**3 - 80*z**2 + 100*z
<replace-#Step 5>#Step 6:
Current expression: 76*z**6 + 4*z**4 - 100*z**3 - 80*z**2 + 100*z</replace>
No more calculations needed.
<answer>76*z**6 + 4*z**4 - 100*z**3 - 80*z**2 + 100*z</answer>


Question:
Calculate the following: -21*x**2*(13*x**2 - 38*x + 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: -273*x**4 + 798*x**3 - 294*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: -21*x**2*(13*x**2 - 38*x + 14)
Expanding the part (13*x**2 - 38*x + 14) using the distributive property, and we got: (-38*x)*(-21*x**2) + 14*(-21*x**2) + (-21*x**2)*(13*x**2)
<replace-#Step 1>#Step 2:
Current expression: (-38*x)*(-21*x**2) + 14*(-21*x**2) + (-21*x**2)*(13*x**2)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  14*(-21*x**2) = -294*x**2
  (-38*x)*(-21*x**2) = 798*x**3
  (13*x**2)*(-21*x**2) = -273*x**4
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -273*x**4 + 798*x**3 - 294*x**2</replace>
No more calculations needed.
<answer>-273*x**4 + 798*x**3 - 294*x**2</answer>


Question:
Simplify this expression: (-48*y**3 + 42*y**2)*(47*y**2 - 12*y - 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: -2256*y**5 + 2550*y**4 + 168*y**3 - 588*y**2


Question:
Calculate the following: (24*y**3 - 9*y)*(-31*y**2 - 16*y + 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: -744*y**5 - 384*y**4 + 999*y**3 + 144*y**2 - 270*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: (24*y**3 - 9*y)*(-31*y**2 - 16*y + 30)
Expanding the part (24*y**3 - 9*y) using the distributive property, and we got: (-9*y)*(-31*y**2 - 16*y + 30) + (24*y**3)*(-31*y**2 - 16*y + 30)
<replace-#Step 1>#Step 2:
Current expression: (-9*y)*(-31*y**2 - 16*y + 30) + (24*y**3)*(-31*y**2 - 16*y + 30)</replace>
Simplifying the partial expression: (-9*y)*(-31*y**2 - 16*y + 30)
Expanding the part (-31*y**2 - 16*y + 30) using the distributive property, and we got: (-16*y)*(-9*y) + (-9*y)*(-31*y**2) + 30*(-9*y)
Replacing (-9*y)*(-31*y**2 - 16*y + 30) with (-16*y)*(-9*y) + (-9*y)*(-31*y**2) + 30*(-9*y) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-16*y)*(-9*y) + (-9*y)*(-31*y**2) + 30*(-9)*y + (24*y**3)*(-31*y**2 - 16*y + 30)</replace>
Simplifying the partial expression: (24*y**3)*(-31*y**2 - 16*y + 30)
Expanding the part (-31*y**2 - 16*y + 30) using the distributive property, and we got: (-16*y)*(24*y**3) + 30*(24*y**3) + (-31*y**2)*(24*y**3)
Replacing (24*y**3)*(-31*y**2 - 16*y + 30) with (-16*y)*(24*y**3) + 30*(24*y**3) + (-31*y**2)*(24*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-16*y)*(-9*y) + (-16*y)*(24*y**3) + (-9*y)*(-31*y**2) + 30*24*y**3 + 30*(-9)*y + (-31*y**2)*(24*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-31*y**2)*(-9*y) = 279*y**3
  (-31*y**2)*(24*y**3) = -744*y**5
  (-16*y)*(-9*y) = 144*y**2
  (-16*y)*(24*y**3) = -384*y**4
  30*-9*y = -270*y
  30*24*y**3 = 720*y**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -744*y**5 - 384*y**4 + 279*y**3 + 720*y**3 + 144*y**2 - 270*y</replace>
Combining like terms, got -744*y**5 - 384*y**4 + 999*y**3 + 144*y**2 - 270*y
<replace-#Step 5>#Step 6:
Current expression: -744*y**5 - 384*y**4 + 999*y**3 + 144*y**2 - 270*y</replace>
No more calculations needed.
<answer>-744*y**5 - 384*y**4 + 999*y**3 + 144*y**2 - 270*y</answer>


Question:
Simplify this expression: (8*y**3 - 16*y**2 - 27*y)*(44*y**3 - 16*y**2 - 48*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: 352*y**6 - 832*y**5 - 1316*y**4 + 1200*y**3 + 1296*y**2


Question:
Calculate the following: -37*x**2*(5 - 35*x**3)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 1295*x**5 - 185*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: -37*x**2*(5 - 35*x**3)
Expanding the part (5 - 35*x**3) using the distributive property, and we got: 5*(-37*x**2) + (-37*x**2)*(-35*x**3)
<replace-#Step 1>#Step 2:
Current expression: 5*(-37*x**2) + (-37*x**2)*(-35*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  5*(-37*x**2) = -185*x**2
  (-35*x**3)*(-37*x**2) = 1295*x**5
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 1295*x**5 - 185*x**2</replace>
No more calculations needed.
<answer>1295*x**5 - 185*x**2</answer>


Question:
Calculate the following: (28*z**2 - 17)*(-41*z**3 - 19*z**2 - 7*z + 4)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1148*z**5 - 532*z**4 + 501*z**3 + 435*z**2 + 119*z - 68


Question:
Calculate the following: (45*x**2 + 10)*(-21*x**3 - 5*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: -945*x**5 - 225*x**4 - 210*x**3 - 1310*x**2 - 280

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (45*x**2 + 10)*(-21*x**3 - 5*x**2 - 28)
Expanding the part (45*x**2 + 10) using the distributive property, and we got: (45*x**2)*(-21*x**3 - 5*x**2 - 28) + 10*(-21*x**3 - 5*x**2 - 28)
<replace-#Step 1>#Step 2:
Current expression: (45*x**2)*(-21*x**3 - 5*x**2 - 28) + 10*(-21*x**3 - 5*x**2 - 28)</replace>
Simplifying the partial expression: 10*(-21*x**3 - 5*x**2 - 28)
Expanding the part (-21*x**3 - 5*x**2 - 28) using the distributive property, and we got: -5*x**2*10 - 21*x**3*10 - 28*10
Replacing 10*(-21*x**3 - 5*x**2 - 28) with -5*x**2*10 - 21*x**3*10 - 28*10 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -5*x**2*10 + (45*x**2)*(-21*x**3 - 5*x**2 - 28) - 21*x**3*10 - 280</replace>
Simplifying the partial expression: (45*x**2)*(-21*x**3 - 5*x**2 - 28)
Expanding the part (-21*x**3 - 5*x**2 - 28) using the distributive property, and we got: -1260*x**2 + (-5*x**2)*(45*x**2) + (45*x**2)*(-21*x**3)
Replacing (45*x**2)*(-21*x**3 - 5*x**2 - 28) with -1260*x**2 + (-5*x**2)*(45*x**2) + (45*x**2)*(-21*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -28*45*x**2 + (-5*x**2)*(45*x**2) - 5*x**2*10 + (45*x**2)*(-21*x**3) - 21*x**3*10 - 280</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-21*x**3)*10 = -210*x**3
  (-21*x**3)*(45*x**2) = -945*x**5
  (-5*x**2)*10 = -50*x**2
  (-5*x**2)*(45*x**2) = -225*x**4
  -28*45*x**2 = -1260*x**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -945*x**5 - 225*x**4 - 210*x**3 - 1260*x**2 - 50*x**2 - 280</replace>
Combining like terms, got -945*x**5 - 225*x**4 - 210*x**3 - 1310*x**2 - 280
<replace-#Step 5>#Step 6:
Current expression: -945*x**5 - 225*x**4 - 210*x**3 - 1310*x**2 - 280</replace>
No more calculations needed.
<answer>-945*x**5 - 225*x**4 - 210*x**3 - 1310*x**2 - 280</answer>


Question:
Simplify this expression: (44*x**2 + 35*x)*(-24*x**3 + 2*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: -1056*x**5 - 840*x**4 + 88*x**3 + 70*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: (44*x**2 + 35*x)*(-24*x**3 + 2*x)
Expanding the part (-24*x**3 + 2*x) using the distributive property, and we got: (2*x)*(44*x**2 + 35*x) + (-24*x**3)*(44*x**2 + 35*x)
<replace-#Step 1>#Step 2:
Current expression: (2*x)*(44*x**2 + 35*x) + (-24*x**3)*(44*x**2 + 35*x)</replace>
Simplifying the partial expression: (-24*x**3)*(44*x**2 + 35*x)
Expanding the part (44*x**2 + 35*x) using the distributive property, and we got: (35*x)*(-24*x**3) + (44*x**2)*(-24*x**3)
Replacing (-24*x**3)*(44*x**2 + 35*x) with (35*x)*(-24*x**3) + (44*x**2)*(-24*x**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (2*x)*(44*x**2 + 35*x) + (35*x)*(-24*x**3) + (44*x**2)*(-24*x**3)</replace>
Simplifying the partial expression: (2*x)*(44*x**2 + 35*x)
Expanding the part (44*x**2 + 35*x) using the distributive property, and we got: (2*x)*(35*x) + (2*x)*(44*x**2)
Replacing (2*x)*(44*x**2 + 35*x) with (2*x)*(35*x) + (2*x)*(44*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (2*x)*(35*x) + (2*x)*(44*x**2) + (35*x)*(-24*x**3) + (44*x**2)*(-24*x**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (35*x)*(-24*x**3) = -840*x**4
  (35*x)*(2*x) = 70*x**2
  (44*x**2)*(-24*x**3) = -1056*x**5
  (44*x**2)*(2*x) = 88*x**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1056*x**5 - 840*x**4 + 88*x**3 + 70*x**2</replace>
No more calculations needed.
<answer>-1056*x**5 - 840*x**4 + 88*x**3 + 70*x**2</answer>


Question:
Simplify this expression: (12*x**3 - 23*x**2)*(36*x**2 + 18*x - 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: 432*x**5 - 612*x**4 - 558*x**3 + 276*x**2


Question:
Simplify this expression: (29*z**2 - 27*z - 40)*(-21*z**3 + 43*z + 15)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -609*z**5 + 567*z**4 + 2087*z**3 - 726*z**2 - 2125*z - 600


Question:
Simplify this expression: 61*x*(49*x**2 - 49*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: 2989*x**3 - 2989*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: 61*x*(49*x**2 - 49*x)
Expanding the part (49*x**2 - 49*x) using the distributive property, and we got: (-49*x)*(61*x) + (61*x)*(49*x**2)
<replace-#Step 1>#Step 2:
Current expression: (-49*x)*(61*x) + (61*x)*(49*x**2)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-49*x)*(61*x) = -2989*x**2
  (49*x**2)*(61*x) = 2989*x**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: 2989*x**3 - 2989*x**2</replace>
No more calculations needed.
<answer>2989*x**3 - 2989*x**2</answer>


Question:
Simplify this expression: (31 - 28*x**2)*(-5*x**3 - 63*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: 140*x**5 + 1764*x**4 - 155*x**3 - 1953*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: (31 - 28*x**2)*(-5*x**3 - 63*x**2)
Expanding the part (31 - 28*x**2) using the distributive property, and we got: (-28*x**2)*(-5*x**3 - 63*x**2) + 31*(-5*x**3 - 63*x**2)
<replace-#Step 1>#Step 2:
Current expression: (-28*x**2)*(-5*x**3 - 63*x**2) + 31*(-5*x**3 - 63*x**2)</replace>
Simplifying the partial expression: 31*(-5*x**3 - 63*x**2)
Expanding the part (-5*x**3 - 63*x**2) using the distributive property, and we got: -63*x**2*31 - 5*x**3*31
Replacing 31*(-5*x**3 - 63*x**2) with -63*x**2*31 - 5*x**3*31 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -63*x**2*31 + (-28*x**2)*(-5*x**3 - 63*x**2) - 5*x**3*31</replace>
Simplifying the partial expression: (-28*x**2)*(-5*x**3 - 63*x**2)
Expanding the part (-5*x**3 - 63*x**2) using the distributive property, and we got: (-63*x**2)*(-28*x**2) + (-28*x**2)*(-5*x**3)
Replacing (-28*x**2)*(-5*x**3 - 63*x**2) with (-63*x**2)*(-28*x**2) + (-28*x**2)*(-5*x**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-63*x**2)*(-28*x**2) - 63*x**2*31 + (-28*x**2)*(-5*x**3) - 5*x**3*31</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-63*x**2)*31 = -1953*x**2
  (-63*x**2)*(-28*x**2) = 1764*x**4
  (-5*x**3)*31 = -155*x**3
  (-5*x**3)*(-28*x**2) = 140*x**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 140*x**5 + 1764*x**4 - 155*x**3 - 1953*x**2</replace>
No more calculations needed.
<answer>140*x**5 + 1764*x**4 - 155*x**3 - 1953*x**2</answer>


Question:
Calculate the following: (-34*x**2 + 7*x)*(33*x**2 + 7)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1122*x**4 + 231*x**3 - 238*x**2 + 49*x

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-34*x**2 + 7*x)*(33*x**2 + 7)
Expanding the part (33*x**2 + 7) using the distributive property, and we got: (33*x**2)*(-34*x**2 + 7*x) + 7*(-34*x**2 + 7*x)
<replace-#Step 1>#Step 2:
Current expression: (33*x**2)*(-34*x**2 + 7*x) + 7*(-34*x**2 + 7*x)</replace>
Simplifying the partial expression: 7*(-34*x**2 + 7*x)
Expanding the part (-34*x**2 + 7*x) using the distributive property, and we got: (7*x)*7 - 34*x**2*7
Replacing 7*(-34*x**2 + 7*x) with (7*x)*7 - 34*x**2*7 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (7*x)*7 - 34*x**2*7 + (33*x**2)*(-34*x**2 + 7*x)</replace>
Simplifying the partial expression: (33*x**2)*(-34*x**2 + 7*x)
Expanding the part (-34*x**2 + 7*x) using the distributive property, and we got: (7*x)*(33*x**2) + (-34*x**2)*(33*x**2)
Replacing (33*x**2)*(-34*x**2 + 7*x) with (7*x)*(33*x**2) + (-34*x**2)*(33*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (7*x)*(33*x**2) + (7*x)*7 + (-34*x**2)*(33*x**2) - 34*x**2*7</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-34*x**2)*7 = -238*x**2
  (-34*x**2)*(33*x**2) = -1122*x**4
  (7*x)*7 = 49*x
  (7*x)*(33*x**2) = 231*x**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1122*x**4 + 231*x**3 - 238*x**2 + 49*x</replace>
No more calculations needed.
<answer>-1122*x**4 + 231*x**3 - 238*x**2 + 49*x</answer>


Question:
Simplify this expression: (24 - 25*y)*(40*y**3 + 28*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: -1000*y**4 + 260*y**3 + 672*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: (24 - 25*y)*(40*y**3 + 28*y**2)
Expanding the part (24 - 25*y) using the distributive property, and we got: (-25*y)*(40*y**3 + 28*y**2) + 24*(40*y**3 + 28*y**2)
<replace-#Step 1>#Step 2:
Current expression: (-25*y)*(40*y**3 + 28*y**2) + 24*(40*y**3 + 28*y**2)</replace>
Simplifying the partial expression: 24*(40*y**3 + 28*y**2)
Expanding the part (40*y**3 + 28*y**2) using the distributive property, and we got: (28*y**2)*24 + (40*y**3)*24
Replacing 24*(40*y**3 + 28*y**2) with (28*y**2)*24 + (40*y**3)*24 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-25*y)*(40*y**3 + 28*y**2) + (28*y**2)*24 + (40*y**3)*24</replace>
Simplifying the partial expression: (-25*y)*(40*y**3 + 28*y**2)
Expanding the part (40*y**3 + 28*y**2) using the distributive property, and we got: (-25*y)*(28*y**2) + (-25*y)*(40*y**3)
Replacing (-25*y)*(40*y**3 + 28*y**2) with (-25*y)*(28*y**2) + (-25*y)*(40*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-25*y)*(28*y**2) + (-25*y)*(40*y**3) + (28*y**2)*24 + (40*y**3)*24</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (28*y**2)*24 = 672*y**2
  (28*y**2)*(-25*y) = -700*y**3
  (40*y**3)*24 = 960*y**3
  (40*y**3)*(-25*y) = -1000*y**4
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1000*y**4 - 700*y**3 + 960*y**3 + 672*y**2</replace>
Combining like terms, got -1000*y**4 + 260*y**3 + 672*y**2
<replace-#Step 5>#Step 6:
Current expression: -1000*y**4 + 260*y**3 + 672*y**2</replace>
No more calculations needed.
<answer>-1000*y**4 + 260*y**3 + 672*y**2</answer>


Question:
Calculate the following: (44*z**3 + 42*z**2 - 49)*(46*z**3 + 18*z - 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: 2024*z**6 + 1932*z**5 + 792*z**4 - 2334*z**3 - 798*z**2 - 882*z + 931


Question:
Calculate the following: (-16*x**2 - 5)*(22*x**2 - 7)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -352*x**4 + 2*x**2 + 35

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*x**2 - 5)*(22*x**2 - 7)
Expanding the part (22*x**2 - 7) using the distributive property, and we got: (22*x**2)*(-16*x**2 - 5) - 7*(-16*x**2 - 5)
<replace-#Step 1>#Step 2:
Current expression: (22*x**2)*(-16*x**2 - 5) - 7*(-16*x**2 - 5)</replace>
Simplifying the partial expression: -7*(-16*x**2 - 5)
Expanding the part (-16*x**2 - 5) using the distributive property, and we got: -16*x**2*(-7) - 5*(-7)
Replacing -7*(-16*x**2 - 5) with -16*x**2*(-7) - 5*(-7) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -16*x**2*(-7) + (22*x**2)*(-16*x**2 - 5) + 35</replace>
Simplifying the partial expression: (22*x**2)*(-16*x**2 - 5)
Expanding the part (-16*x**2 - 5) using the distributive property, and we got: -110*x**2 + (-16*x**2)*(22*x**2)
Replacing (22*x**2)*(-16*x**2 - 5) with -110*x**2 + (-16*x**2)*(22*x**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: -5*22*x**2 + (-16*x**2)*(22*x**2) - 16*x**2*(-7) + 35</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-16*x**2)*-7 = 112*x**2
  (-16*x**2)*(22*x**2) = -352*x**4
  -5*22*x**2 = -110*x**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -352*x**4 - 110*x**2 + 112*x**2 + 35</replace>
Combining like terms, got -352*x**4 + 2*x**2 + 35
<replace-#Step 5>#Step 6:
Current expression: -352*x**4 + 2*x**2 + 35</replace>
No more calculations needed.
<answer>-352*x**4 + 2*x**2 + 35</answer>


Question:
Simplify this expression: (-65*z**2 + 15*z - 1)*(24*z**3 + 34*z**2 + 12*z - 20)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -1560*z**5 - 1850*z**4 - 294*z**3 + 1446*z**2 - 312*z + 20


Question:
Calculate the following: (-54*y**2 - 19)*(42*y**2 + 40)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -2268*y**4 - 2958*y**2 - 760

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (-54*y**2 - 19)*(42*y**2 + 40)
Expanding the part (-54*y**2 - 19) using the distributive property, and we got: (-54*y**2)*(42*y**2 + 40) - 19*(42*y**2 + 40)
<replace-#Step 1>#Step 2:
Current expression: (-54*y**2)*(42*y**2 + 40) - 19*(42*y**2 + 40)</replace>
Simplifying the partial expression: -19*(42*y**2 + 40)
Expanding the part (42*y**2 + 40) using the distributive property, and we got: (42*y**2)*(-19) + 40*(-19)
Replacing -19*(42*y**2 + 40) with (42*y**2)*(-19) + 40*(-19) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-54*y**2)*(42*y**2 + 40) + (42*y**2)*(-19) - 760</replace>
Simplifying the partial expression: (-54*y**2)*(42*y**2 + 40)
Expanding the part (42*y**2 + 40) using the distributive property, and we got: 40*(-54*y**2) + (-54*y**2)*(42*y**2)
Replacing (-54*y**2)*(42*y**2 + 40) with 40*(-54*y**2) + (-54*y**2)*(42*y**2) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: 40*(-54)*y**2 + (-54*y**2)*(42*y**2) + (42*y**2)*(-19) - 760</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (42*y**2)*-19 = -798*y**2
  (42*y**2)*(-54*y**2) = -2268*y**4
  40*-54*y**2 = -2160*y**2
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -2268*y**4 - 2160*y**2 - 798*y**2 - 760</replace>
Combining like terms, got -2268*y**4 - 2958*y**2 - 760
<replace-#Step 5>#Step 6:
Current expression: -2268*y**4 - 2958*y**2 - 760</replace>
No more calculations needed.
<answer>-2268*y**4 - 2958*y**2 - 760</answer>


Question:
Simplify this expression: 21*z**2*(-8*z**3 - 10*z**2 + 53)
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**5 - 210*z**4 + 1113*z**2

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: 21*z**2*(-8*z**3 - 10*z**2 + 53)
Expanding the part (-8*z**3 - 10*z**2 + 53) using the distributive property, and we got: 53*(21*z**2) + (-10*z**2)*(21*z**2) + (21*z**2)*(-8*z**3)
<replace-#Step 1>#Step 2:
Current expression: 53*(21*z**2) + (-10*z**2)*(21*z**2) + (21*z**2)*(-8*z**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  53*(21*z**2) = 1113*z**2
  (-10*z**2)*(21*z**2) = -210*z**4
  (-8*z**3)*(21*z**2) = -168*z**5
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -168*z**5 - 210*z**4 + 1113*z**2</replace>
No more calculations needed.
<answer>-168*z**5 - 210*z**4 + 1113*z**2</answer>


Question:
Calculate the following: -6300*y**4
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -6300*y**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: -6300*y**4
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: -6300*y**4</replace>
No more calculations needed.
<answer>-6300*y**4</answer>


Question:
Simplify this expression: (-2*y**3 - 18*y)*(6*y**3 + 10*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: -12*y**6 - 20*y**5 - 108*y**4 - 180*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: (-2*y**3 - 18*y)*(6*y**3 + 10*y**2)
Expanding the part (-2*y**3 - 18*y) using the distributive property, and we got: (-18*y)*(6*y**3 + 10*y**2) + (-2*y**3)*(6*y**3 + 10*y**2)
<replace-#Step 1>#Step 2:
Current expression: (-18*y)*(6*y**3 + 10*y**2) + (-2*y**3)*(6*y**3 + 10*y**2)</replace>
Simplifying the partial expression: (-18*y)*(6*y**3 + 10*y**2)
Expanding the part (6*y**3 + 10*y**2) using the distributive property, and we got: (-18*y)*(10*y**2) + (-18*y)*(6*y**3)
Replacing (-18*y)*(6*y**3 + 10*y**2) with (-18*y)*(10*y**2) + (-18*y)*(6*y**3) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-18*y)*(10*y**2) + (-18*y)*(6*y**3) + (-2*y**3)*(6*y**3 + 10*y**2)</replace>
Simplifying the partial expression: (-2*y**3)*(6*y**3 + 10*y**2)
Expanding the part (6*y**3 + 10*y**2) using the distributive property, and we got: (10*y**2)*(-2*y**3) + (-2*y**3)*(6*y**3)
Replacing (-2*y**3)*(6*y**3 + 10*y**2) with (10*y**2)*(-2*y**3) + (-2*y**3)*(6*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-18*y)*(10*y**2) + (-18*y)*(6*y**3) + (10*y**2)*(-2*y**3) + (-2*y**3)*(6*y**3)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (6*y**3)*(-18*y) = -108*y**4
  (6*y**3)*(-2*y**3) = -12*y**6
  (10*y**2)*(-18*y) = -180*y**3
  (10*y**2)*(-2*y**3) = -20*y**5
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -12*y**6 - 20*y**5 - 108*y**4 - 180*y**3</replace>
No more calculations needed.
<answer>-12*y**6 - 20*y**5 - 108*y**4 - 180*y**3</answer>


Question:
Calculate the following: -105*z*(8*z**2 - 7)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: -840*z**3 + 735*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: -105*z*(8*z**2 - 7)
Expanding the part (8*z**2 - 7) using the distributive property, and we got: (-105*z)*(8*z**2) - (-1)*735*z
<replace-#Step 1>#Step 2:
Current expression: (-105*z)*(8*z**2) - (-1)*735*z</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  -7*(-105*z) = 735*z
  (8*z**2)*(-105*z) = -840*z**3
Replacing them in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -840*z**3 + 735*z</replace>
No more calculations needed.
<answer>-840*z**3 + 735*z</answer>


Question:
Simplify this expression: (21*y - 27)*(8*y**3 - 41*y**2 + 42*y + 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: 168*y**4 - 1077*y**3 + 1989*y**2 - 189*y - 1215


Question:
Simplify this expression: (47*y - 10)*(-28*y**3 - 15*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: -1316*y**4 - 425*y**3 + 150*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: (47*y - 10)*(-28*y**3 - 15*y**2)
Expanding the part (47*y - 10) using the distributive property, and we got: (47*y)*(-28*y**3 - 15*y**2) - 10*(-28*y**3 - 15*y**2)
<replace-#Step 1>#Step 2:
Current expression: (47*y)*(-28*y**3 - 15*y**2) - 10*(-28*y**3 - 15*y**2)</replace>
Simplifying the partial expression: -10*(-28*y**3 - 15*y**2)
Expanding the part (-28*y**3 - 15*y**2) using the distributive property, and we got: -15*y**2*(-10) - 28*y**3*(-10)
Replacing -10*(-28*y**3 - 15*y**2) with -15*y**2*(-10) - 28*y**3*(-10) in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (47*y)*(-28*y**3 - 15*y**2) - 15*y**2*(-10) - 28*y**3*(-10)</replace>
Simplifying the partial expression: (47*y)*(-28*y**3 - 15*y**2)
Expanding the part (-28*y**3 - 15*y**2) using the distributive property, and we got: (47*y)*(-15*y**2) + (47*y)*(-28*y**3)
Replacing (47*y)*(-28*y**3 - 15*y**2) with (47*y)*(-15*y**2) + (47*y)*(-28*y**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (47*y)*(-15*y**2) + (47*y)*(-28*y**3) - 15*y**2*(-10) - 28*y**3*(-10)</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-28*y**3)*-10 = 280*y**3
  (-28*y**3)*(47*y) = -1316*y**4
  (-15*y**2)*-10 = 150*y**2
  (-15*y**2)*(47*y) = -705*y**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: -1316*y**4 - 705*y**3 + 280*y**3 + 150*y**2</replace>
Combining like terms, got -1316*y**4 - 425*y**3 + 150*y**2
<replace-#Step 5>#Step 6:
Current expression: -1316*y**4 - 425*y**3 + 150*y**2</replace>
No more calculations needed.
<answer>-1316*y**4 - 425*y**3 + 150*y**2</answer>


Question:
Calculate the following: (3 - 74*x)*(-33*x**2 + 50*x - 13)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 2442*x**3 - 3799*x**2 + 1112*x - 39

Let's solve the polynomial multiplication step by step. We can expand all partial products first, then add all of them together. Here's the solution steps:
#Step 1:
Current expression: (3 - 74*x)*(-33*x**2 + 50*x - 13)
Expanding the part (3 - 74*x) using the distributive property, and we got: (-74*x)*(-33*x**2 + 50*x - 13) + 3*(-33*x**2 + 50*x - 13)
<replace-#Step 1>#Step 2:
Current expression: (-74*x)*(-33*x**2 + 50*x - 13) + 3*(-33*x**2 + 50*x - 13)</replace>
Simplifying the partial expression: 3*(-33*x**2 + 50*x - 13)
Expanding the part (-33*x**2 + 50*x - 13) using the distributive property, and we got: (50*x)*3 - 33*x**2*3 - 13*3
Replacing 3*(-33*x**2 + 50*x - 13) with (50*x)*3 - 33*x**2*3 - 13*3 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: (-74*x)*(-33*x**2 + 50*x - 13) + (50*x)*3 - 33*x**2*3 - 39</replace>
Simplifying the partial expression: (-74*x)*(-33*x**2 + 50*x - 13)
Expanding the part (-33*x**2 + 50*x - 13) using the distributive property, and we got: (-74*x)*(50*x) + (-74*x)*(-33*x**2) - (-1)*962*x
Replacing (-74*x)*(-33*x**2 + 50*x - 13) with (-74*x)*(50*x) + (-74*x)*(-33*x**2) - (-1)*962*x in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-74*x)*(50*x) + (-74*x)*(-33*x**2) - 13*(-74)*x + (50*x)*3 - 33*x**2*3 - 39</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-33*x**2)*3 = -99*x**2
  (-33*x**2)*(-74*x) = 2442*x**3
  (50*x)*3 = 150*x
  (50*x)*(-74*x) = -3700*x**2
  -13*-74*x = 962*x
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 2442*x**3 - 3700*x**2 - 99*x**2 + 150*x + 962*x - 39</replace>
Combining like terms, got 2442*x**3 - 3799*x**2 + 1112*x - 39
<replace-#Step 5>#Step 6:
Current expression: 2442*x**3 - 3799*x**2 + 1112*x - 39</replace>
No more calculations needed.
<answer>2442*x**3 - 3799*x**2 + 1112*x - 39</answer>


Question:
Calculate the following: (55 - 13*z**3)*(-46*z**3 - 15*z - 17)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

Answer: 598*z**6 + 195*z**4 - 2309*z**3 - 825*z - 935

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: (55 - 13*z**3)*(-46*z**3 - 15*z - 17)
Expanding the part (55 - 13*z**3) using the distributive property, and we got: (-13*z**3)*(-46*z**3 - 15*z - 17) + 55*(-46*z**3 - 15*z - 17)
<replace-#Step 1>#Step 2:
Current expression: (-13*z**3)*(-46*z**3 - 15*z - 17) + 55*(-46*z**3 - 15*z - 17)</replace>
Simplifying the partial expression: 55*(-46*z**3 - 15*z - 17)
Expanding the part (-46*z**3 - 15*z - 17) using the distributive property, and we got: -15*z*55 - 46*z**3*55 - 17*55
Replacing 55*(-46*z**3 - 15*z - 17) with -15*z*55 - 46*z**3*55 - 17*55 in the overall expression.
<replace-#Step 2>#Step 3:
Current expression: -15*z*55 - 46*z**3*55 + (-13*z**3)*(-46*z**3 - 15*z - 17) - 935</replace>
Simplifying the partial expression: (-13*z**3)*(-46*z**3 - 15*z - 17)
Expanding the part (-46*z**3 - 15*z - 17) using the distributive property, and we got: (-15*z)*(-13*z**3) - (-1)*221*z**3 + (-46*z**3)*(-13*z**3)
Replacing (-13*z**3)*(-46*z**3 - 15*z - 17) with (-15*z)*(-13*z**3) - (-1)*221*z**3 + (-46*z**3)*(-13*z**3) in the overall expression.
<replace-#Step 3>#Step 4:
Current expression: (-15*z)*(-13*z**3) - 15*z*55 - 17*(-13)*z**3 + (-46*z**3)*(-13*z**3) - 46*z**3*55 - 935</replace>
No partial expression needs using the distributive property to simplify.
Calculating the product of the terms in the current expression:
  (-46*z**3)*55 = -2530*z**3
  (-46*z**3)*(-13*z**3) = 598*z**6
  (-15*z)*55 = -825*z
  (-15*z)*(-13*z**3) = 195*z**4
  -17*-13*z**3 = 221*z**3
Replacing them in the overall expression.
<replace-#Step 4>#Step 5:
Current expression: 598*z**6 + 195*z**4 - 2530*z**3 + 221*z**3 - 825*z - 935</replace>
Combining like terms, got 598*z**6 + 195*z**4 - 2309*z**3 - 825*z - 935
<replace-#Step 5>#Step 6:
Current expression: 598*z**6 + 195*z**4 - 2309*z**3 - 825*z - 935</replace>
No more calculations needed.
<answer>598*z**6 + 195*z**4 - 2309*z**3 - 825*z - 935</answer>