Polynomial Derivative Calculator

print "CHAIN RULE / ADAM'S RULE CALCULATOR"
import time
time.sleep(2)
print "For the polynomial function (yx^a + zx^b)^c..."
print
x = "x^"
import time
time.sleep(2)

y = int(raw_input('Enter y: '))
print
import time
time.sleep(2)

z = int(raw_input('Enter z: '))
print
import time
time.sleep(2)

print "Time for the exponents!"
print
import time
time.sleep(2)

print "First, the exponent for the first value, or a"
print
import time
time.sleep(2)

a = int(raw_input('Enter a: '))
print
import time
time.sleep(2)
print "Second, the exponent for the entire equation, or c!"
print
import time
time.sleep(2)
c = int(raw_input('Enter c: '))
print
import time
time.sleep(2)

print "Does your equation have a x value after the z value?"
print
import time
time.sleep(2)

a_power = a - 1
c_power = c - 1

power_y = a * y

b_yes_no = int(raw_input("If your equation does not have an x value after z, type 1. If a x value is present in your equation, type any other number. Your answer: "))

if b_yes_no == 1:
    derived_function = str(c) + "( " + str(power_y) + x + str(a_power) + " + " + str(z)+ " )" + "( " + str(y) + x + str(a) + " + " + str(z) + " )" + "^" + str(c_power)
    print
    import time
    time.sleep(2)
    print "The derivative of your polynomial function is " + derived_function
    print
    import time
    time.sleep(2)
    print "Would you like to plug in an x-value?"
    print
    import time
    time.sleep(1)
    plug_in = int(raw_input('Enter 1 for yes, and any other number for no: '))
    if plug_in == 1:
        print
        import time
        time.sleep(1)
        x = int(raw_input("Enter x value: "))
        derived_function_answer = int(c) * ( (int(power_y) * (int(x) ** int(a_power))) + int(z)) * (((int(y) * (int(x) ** int(a))) + int(z))) ** int(c_power)
        import time
        time.sleep(1)
        print
        print str(derived_function_answer) + " is the answer to your polynomial derivative!"
        print
        import time
        time.sleep(3)
        print "Have a marvelous day!"
    else:
        print
        import time
        time.sleep(3)
        print "Have a marvelous day!"
else:
    print
    import time
    time.sleep(2)
    b = int(raw_input('Enter b: '))
    b_power = b - 1
    power_z = b * z
    derived_function = str(c) + "( " + str(power_y) + x + str(a_power) + " + " + str(power_z) + x + str(b_power) + " )" + "( " + str(y) + x + str(a) + " + " + str(z) + x + str(b) + " )" + "^" + str(c_power)
    print
    import time
    time.sleep(2)
    print "The derivative of your polynomial function is " + derived_function
    print
    import time
    time.sleep(2)
    print "Would you like to plug in an x-value?"
    print
    import time
    time.sleep(1)
    plug_in = int(raw_input('Enter 1 for yes, and any other number for no: '))
    if plug_in == 1:
        print
        import time
        time.sleep(1)
        x = int(raw_input("Enter x value: "))
        import time
        time.sleep(1)
        print
        derived_function_answer = int(c) * ( (int(power_y) * (int(x) ** int(a_power))) + (int(power_z) * (int(x) ** int(b_power)))) * (((int(y) * (int(x) ** int(a))) + int(z) * (int(x) ** int(b))) ** int(c_power))
        print str(derived_function_answer) + " is the answer to your polynomial derivative!"
        print
        import time
        time.sleep(3)
        print "Have a marvelous day!"
    else:
        print
        import time
        time.sleep(3)
        print "Have a marvelous day!"

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