(h**(-1))**22 assuming h is positive.
h**(-22)
Simplify ((b*b**(-1/9)*b)/b)**(-3) assuming b is positive.
b**(-8/3)
Simplify (v*v**(-12)*v**8/v)**(-6) assuming v is positive.
v**24
Simplify (w**5/w*w*w*w**(-3/4))**5 assuming w is positive.
w**(105/4)
Simplify (c**(-20))**50 assuming c is positive.
c**(-1000)
Simplify (y**(4/5)*(y**(-1/2)*y)/y)/((y**8*y*y)/((y/((y**(-5)*y)/y*y))/y)) assuming y is positive.
y**(-57/10)
Simplify (w/(((w*w**21)/w)/w))**(24/11) assuming w is positive.
w**(-456/11)
Simplify z*z*z**(-2/15)/z*z*z/(z**(-1/6)*z)*z assuming z is positive.
z**(91/30)
Simplify i**0/(i*i**(-1/2))*(i/i**(2/3))**0 assuming i is positive.
1/sqrt(i)
Simplify (s**(-1/6))**(-25) assuming s is positive.
s**(25/6)
Simplify x**8/(x*x**7)*x*x**(1/3)/x*x**(1/4) assuming x is positive.
x**(7/12)
Simplify n/(n/n**(1/8))*n/(n**(6/7)/n) assuming n is positive.
n**(71/56)
Simplify (g**(-5)*g**10)/(g*g*g**(-3/4)*g*g**(-9)*g) assuming g is positive.
g**(43/4)
Simplify (s**(1/24)/s)**40 assuming s is positive.
s**(-115/3)
Simplify (((s**(-6)/s*s)/s*s)/(((s/(s*s**3))/s)/s))/(s/(s**(2/5)/s))**(-3/23) assuming s is positive.
s**(-91/115)
Simplify (a**(2/3)/a)**(-31)*a*a*a/(a*a**(-2/7)*a)*a*a/a**(1/6) assuming a is positive.
a**(565/42)
Simplify (l**4*l/(l/((l/(l/l**(-1/10)*l))/l)))/(l**(-1)*l)**(2/5) assuming l is positive.
l**(19/10)
Simplify (g**11*g)/g**(-2/7) assuming g is positive.
g**(86/7)
Simplify (x**(-2/27)*x)/(x*x**(-28)*x*x) assuming x is positive.
x**(700/27)
Simplify (y*y**6)/y**(4/5)*((y*y*y/(y/(y*y**6))*y)/y)/(y/(y*y/y**(-1/8))) assuming y is positive.
y**(653/40)
Simplify (w**(-3))**37/((w*w**(-5/2))/(w*w*w**4)) assuming w is positive.
w**(-207/2)
Simplify (m/(m/m**(-1)))**(-9/4)*(m/(m*m/(m/(m/m**(-3/4)))))/(m**(2/9)*m) assuming m is positive.
m**(-13/18)
Simplify (j*j**(-1/4))/j*j*j**32 assuming j is positive.
j**(131/4)
Simplify ((j*j/(j/(((j/(j/j**(1/4)))/j)/j)))/(j/(j/(j*j**(-3))*j)*j))**(3/8) assuming j is positive.
j**(15/32)
Simplify (h**(-1))**(-31)/(h*h**1)**(-34) assuming h is positive.
h**99
Simplify q/(q/(q**2/q))*q**(1/27) assuming q is positive.
q**(28/27)
Simplify ((m*m*m*m/m**(1/4)*m)/m*m)**(1/5)/(m**(2/3)/m*m*m**3*m) assuming m is positive.
m**(-223/60)
Simplify (((g/g**(-2/3))/g)/g**(-3/2))**6 assuming g is positive.
g**13
Simplify h**3*h**(2/113) assuming h is positive.
h**(341/113)
Simplify (v**6)**(-8/3) assuming v is positive.
v**(-16)
Simplify (q**(-4/9)/q)/q**(1/3)*q**(-4/3)/(q*q**(-2/17)*q) assuming q is positive.
q**(-764/153)
Simplify (i**1)**(-32)/(i/i**2)**(-1/27) assuming i is positive.
i**(-865/27)
Simplify y/(y/y**16)*y**10/y assuming y is positive.
y**25
Simplify ((r/(r/((r*r*r*r/(r*r**(-1/5)*r))/r)))/r**(2/3))/(((r/((r*r**2)/r)*r*r)/r)/r)**(3/8) assuming r is positive.
r**(109/120)
Simplify u**(1/50)*u**43 assuming u is positive.
u**(2151/50)
Simplify (j**1/j*j)**(5/14)/(j**0)**(2/83) assuming j is positive.
j**(5/14)
Simplify (h*h**0*h)**(-18)/((h/(h**(-1)*h))/(h**(-2/13)*h)) assuming h is positive.
h**(-470/13)
Simplify (f*f*f*f**(2/27)/f*f)/(f/(f/f**(1/7))) assuming f is positive.
f**(554/189)
Simplify (y**0/y*y)**(-16)/((y/(y**8/y))/y*y/(y/y**(-4/9))) assuming y is positive.
y**(67/9)
Simplify ((y*y**(-2/25))/y**6)**(-10) assuming y is positive.
y**(254/5)
Simplify n**(-6/7)*n/(n**(-2)/n*n) assuming n is positive.
n**(15/7)
Simplify ((q/(q*q**1*q))**(-1/21))**(6/35) assuming q is positive.
q**(4/245)
Simplify m**0/(m*(m*m**8*m)/m*m*m*m)*m**3/m**(-6) assuming m is positive.
m**(-4)
Simplify ((j/(j*(j/j**(-2))/j))/j*j)/j**(-2/25)*(j/(j*j**(-1/3)/j))**(2/43) assuming j is positive.
j**(-5992/3225)
Simplify n**(14/5)*n**(-2/41) assuming n is positive.
n**(564/205)
Simplify ((p**(-2/9))**(1/3))**0 assuming p is positive.
1
Simplify p*(p/(((p*p**(14/11))/p)/p))/p*p**28/p assuming p is positive.
p**(305/11)
Simplify (p/((p/(p*p**(1/4)))/p)*p**7)**(1/27) assuming p is positive.
p**(37/108)
Simplify d*d**(-16)*d**(7/3) assuming d is positive.
d**(-38/3)
Simplify (j**(-7))**(3/17) assuming j is positive.
j**(-21/17)
Simplify (j**(-1/28)/j)**(-1/13) assuming j is positive.
j**(29/364)
Simplify s**(-17/5)*s**(-2/17) assuming s is positive.
s**(-299/85)
Simplify q**(-3/2)*(q*q/(q**(-2/7)/q))/q*(q*q**1)**(2/35) assuming q is positive.
q**(9/10)
Simplify (f**(6/17)*f)/f**(1/11) assuming f is positive.
f**(236/187)
Simplify (u/(u/u**(2/5)))**(-18)*(u*u*u**0)/((u/(u*u**(2/5)))/u) assuming u is positive.
u**(-19/5)
Simplify (q*q**18*q)/(q**(2/61)*q) assuming q is positive.
q**(1157/61)
Simplify z/z**34*z*z**42 assuming z is positive.
z**10
Simplify ((t*t**1)**(-38))**(2/13) assuming t is positive.
t**(-152/13)
Simplify (i**5*i/(i*i**(1/2)*i))/((i*i*i*i**(-2/7))/i)**(-14) assuming i is positive.
i**(55/2)
Simplify (y**(-3/4)/y*y**(-1))**(-32) assuming y is positive.
y**88
Simplify (m**(4/9))**(-3) assuming m is positive.
m**(-4/3)
Simplify (a/a**(-3/5)*(a**(2/7)/a)/a)**(-47) assuming a is positive.
a**(188/35)
Simplify h**20/h**(-16) assuming h is positive.
h**36
Simplify (t*(t*t**(-1)*t*t)/t)**(-28)/(t/(t**(2/7)/t*t))**35 assuming t is positive.
t**(-81)
Simplify (x*x**(-2/5))/(x/(x/(x**(4/9)*x))*x) assuming x is positive.
x**(-83/45)
Simplify (k**(-4))**(-4/5) assuming k is positive.
k**(16/5)
Simplify (d*d**(-2/5))**(-31)/(((d**(-4)*d)/d)/d*d**2) assuming d is positive.
d**(-78/5)
Simplify (n**(3/5)/n**(-4))/((n*n**(-1/4))/n)**(-16/5) assuming n is positive.
n**(19/5)
Simplify (z**(2/7)*z*z/(z**(1/2)/z)*z)/(z*z**(-1/4))**(2/73) assuming z is positive.
z**(1924/511)
Simplify (((a*a**(3/4)*a)/a)/a**(1/6))**24 assuming a is positive.
a**38
Simplify ((i*i**10*i*i)**(-7/5))**45 assuming i is positive.
i**(-819)
Simplify (k/(k/(k/((((k**(4/15)/k)/k)/k)/k))))**17 assuming k is positive.
k**(1207/15)
Simplify (x*x*x**(1/3))**(-49)/((x/(x**1*x*x*x)*x)/x**(-5)) assuming x is positive.
x**(-352/3)
Simplify (l/((l/(l**(-1/13)*l)*l)/l))**43 assuming l is positive.
l**(516/13)
Simplify (d/((((d/d**(-1))/d*d)/d)/d*d))**23*(d**1)**11 assuming d is positive.
d**11
Simplify (j/j**(-2/11))/((j**(1/4)*j*j)/j)*j**(-1)*j*j**3 assuming j is positive.
j**(129/44)
Simplify ((j**2)**(-1/12))**(-10/3) assuming j is positive.
j**(5/9)
Simplify t**(-19)/(t/t**(2/33)*t) assuming t is positive.
t**(-691/33)
Simplify ((t/((t/(t*t**(2/11)*t)*t)/t)*t)/t)/(t**(-1/14)/t)*t*t**(-3)*t**(1/12) assuming t is positive.
t**(1235/924)
Simplify (q*q/q**(-3)*q*q*q*q*q**(-2))**(33/7) assuming q is positive.
q**33
Simplify (h/(h*h/h**28))/h*h*h**(-32) assuming h is positive.
h**(-5)
Simplify o**(2/5)/(o*o*o**(-9)*o)*(o*o**(1/2)/o)/(o**(-6)*o) assuming o is positive.
o**(119/10)
Simplify (h*h*h**(1/4)/h)**(3/13)*((h/h**(-2))/h)**(8/11) assuming h is positive.
h**(997/572)
Simplify n*n**(-2)*(n/((n**(-27)/n)/n)*n*n)/n assuming n is positive.
n**30
Simplify l*l**(-10/3)/l*l**14 assuming l is positive.
l**(32/3)
Simplify m/(m/m**2)*m**(-4/5) assuming m is positive.
m**(6/5)
Simplify (y*y**(-22))/y*y*y**(-24) assuming y is positive.
y**(-45)
Simplify (a*a**(-7)/a*a)/(a*a**(-2/27))*(a*a*a**0)**31 assuming a is positive.
a**(1487/27)
Simplify (m*m**8*m*m**(-5/6))/(m**(1/8)/m**2) assuming m is positive.
m**(265/24)
Simplify j*j**(-1/3)*j*j**12*j*j*j assuming j is positive.
j**(50/3)
Simplify t**4*t**(-1/5)*t*t*t assuming t is positive.
t**(34/5)
Simplify (n/n**1)**26/(n*n/(n**0/n)*n**(-2)) assuming n is positive.
1/n
Simplify z*z**(-3/10)*z*z*z/(z*z/(z**(2/19)/z))*z assuming z is positive.
z**(343/190)
Simplify z*z**(2/13)*z*z**(-15) assuming z is positive.
z**(-167/13)
Simplify l**(-8)*l*(l**(-3/7)/l)/l assuming l is positive.
l**(-66/7)
Simplify ((f*f*f**(-2/13))/f**1)/(f**(-2)/f)**39 assuming f is positive.
f**(1532/13)
Simplify (t**(-1/2))**(-44)*(t/t**(-1/2))**(2/151) assuming t is positive.
t**(3325/151)
Simplify ((f*f*f*((f*f/(f*f/f**(1/3)))/f)/f)/(f*f**(-3/2)))**13 assuming f is positive.
f**(143/6)
Simplify (c**(5/7))**(-8/5) assuming c is positive.
c**(-8/7)
Simplify x**(6/7)/x**(10/7) assuming x is positive.
x**(-4/7)
Simplify (k**(-2/31))**(-10) assuming k is positive.
k**(20/31)
Simplify (q**(-13)*q/((q*q*q**(-13)*q)/q))**22 assuming q is positive.
q**(-22)
Simplify (w**(-1/5)/w)/w**(-28) assuming w is positive.
w**(134/5)
Simplify q**(3/13)*q/(q/q**(-1/14)) a


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What comes ne


)))) assuming f is positive.
f**(-1223/234)
Simplify ((n/((n**(-13/2)/n)/n*n))/n**(-11/4))/((n/((n*(n*n/(n**8/n))/n)/n*n))/(n/n**16*n)) assuming n is positive.
n**(-35/4)
Simplify (x/x**(-2/5))**33/(x**(-17)*x**0) assuming x is positive.
x**(316/5)
Simplify (((o**(-4))**22)**(-12/7))**(-37) assuming o is positive.
o**(-39072/7)
Simplify (j**(2/19)/j**11)/(j**(-1/3)/j)**(-4/15) assuming j is positive.
j**(-9619/855)
Simplify ((b*b/((b**(2/3)/b)/b)*b**(-2/9))/(b**1)**(-26))**(3/25) assuming b is positive.
b**(262/75)
Simplify ((f/(f/(f/(f*f**(11/2)*f*f*f)*f)))**(-1/21))**(-9/2) assuming f is positive.
f**(-45/28)
Simplify ((l**(1/2)/l)**(-5/9))**(-2/3) assuming l is positive.
l**(-5/27)
Simplify (j/(j*j**(-1)))/(j**(-2/3)*j*j)*(j*j**1*j)/(j**(-12)/j) assuming j is positive.
j**(47/3)
Simplify ((j**(-1)/(j*j**(-1/9)))/(j*j**(-2/5)*j)**(-18/5))**(11/5) assuming j is positive.
j**(9581/1125)
Simplify (((k*k**(-2/3))/k)/k**(-4)*(k*((k/k**0)/k)/k)**(-10/13))**17 assuming k is positive.
k**(170/3)
Simplify (r**(2/7))**(-10/17)/((r/(r**(4/3)/r*r)*r)/(r/r**13)) assuming r is positive.
r**(-4582/357)
Simplify ((g**(2/13)/g)/g**9*(g**(-2/5)*g)**(-38))**(-7) assuming g is positive.
g**(14854/65)
Simplify (l**(-4)/(l/l**(3/8))*l**(3/4)*l*(((l/(l*l**1))/l)/l)/l)**(9/4) assuming l is positive.
l**(-495/32)
Simplify (q**(-2/85)*(q*q**(-5/2))/q)/(q**15/((q*q*q/(q/q**(1/6))*q)/q*q)) assuming q is positive.
q**(-3661/255)
Simplify (w*w**(-14))/w**(-7/5)*(w/(w/w**1))**(-19) assuming w is positive.
w**(-153/5)
Simplify (r/r**(1/15))**43*(r*r**(1/11)/r)/r**(-2/33) assuming r is positive.
r**(6647/165)
Simplify (n**(-1/16)*n*n*n**(-4))/(n*n/n**(-2/5)*n**(2/27)) assuming n is positive.
n**(-9799/2160)
Simplify ((y/y**12)/(y**(-4)*y*y))/(y**(5/3)*y/(y/(y**(-1/6)/y))*y) assuming y is positive.
y**(-21/2)
Simplify (x**(-2)/x**(-2/13)*(x*x**(-2))/x**(-7))**(-14) assuming x is positive.
x**(-756/13)
Simplify (g/(g/(g/g**13)))/g*g**0*(g**4*g)/g**(-16) assuming g is positive.
g**8
Simplify ((q**(2/5)/((q/q**(-10))/q))**(2/41))**(8/17) assuming q is positive.
q**(-768/3485)
Simplify i**(1/13)/i**1*i**(15/7)/i**(1/14) assuming i is positive.
i**(209/182)
Simplify (t/t**(-4/5)*t)**(-5)/(t/((t/(t**19*t*t)*t)/t)*t**(3/5)*t) assuming t is positive.
t**(-183/5)
Simplify ((s/s**4)/s)**(3/2)/(s*s**(-5/4))**25 assuming s is positive.
s**(1/4)
Simplify (((v*v/(v**(3/7)*v))/(v/(v*v*v*v/(v**1/v*v))*v))/(v**(-2)/v)**(-35))**(24/11) assuming v is positive.
v**(-17376/77)
Simplify ((s*s/(s*s/(s*s**11)))/(s*s/(s/(s**(-7/5)/s))))**(-25) assuming s is positive.
s**(-335)
Simplify (h/(h*h**(-2/73))*(h/h**(-2/21))/h)**(7/6) assuming h is positive.
h**(94/657)
Simplify (((y**0/y)**(1/64))**34)**31 assuming y is positive.
y**(-527/32)
Simplify f/(f/((f*f*f*f*f**21/f*f*f)/f))*f/((f**(6/17)*f)/f)*(f*f**35)/((f/(f/(f**(-4)/f)))/f) assuming f is positive.
f**(1150/17)
Simplify ((a/(a**23*a))/a)**(-5)*(a**(19/3)/a)/(a*a/(a/((a**(1/7)*a)/a))*a) assuming a is positive.
a**(2587/21)
Simplify (q**(1/3))**(8/5)*(q/(q*q/q**21))/q**29 assuming q is positive.
q**(-127/15)
Simplify (((i*i**(-7/5)/i*i)/i)/(i*i**(3/8)))/((i/(i/(i/i**(-19))*i))/((i**(-16)*i)/i*i)) assuming i is positive.
i**(-1471/40)
Simplify ((z*z**(1/2))**(5/13)*z/(z/(z*z**6/z))*z**8*z)**(-15/4) assuming z is positive.
z**(-6075/104)
Simplify ((a/(a**(7/2)/a*a))/a)/a*a**(8/9)*a**(-15)/a*a**22 assuming a is positive.
a**(43/18)
Simplify (k**(2/5))**(-1/53)*(k**(-4)/k)/k**(-1) assuming k is positive.
k**(-1062/265)
Simplify (d*d**2*d*d)**(1/38)/(d**(1/6)/d**(-2)) assuming d is positive.
d**(-116/57)
Simplify ((w*w*w**(-5/8)*w)/w)/w**18*w**(6/5)/(w*((w*w/(w**8/w))/w)/w) assuming w is positive.
w**(-377/40)
Simplify k**(-6/13)*k**(-15)*(k/(k/(k*(k/k**0*k)/k)))/k**9 assuming k is positive.
k**(-292/13)
Simplify (q/(q/(q*q**(-10/9)*q)))/q**(1/3)*(q**(-1/9)/q)/q**(2/5) assuming q is positive.
q**(-43/45)
Simplify (q*q*q/((q*((((q*q**1)/q)/q)/q)/q*q*q)/q))/q*q**(5/8)*((q**(-6)/q)/q)**(19/3) assuming q is positive.
q**(-1153/24)
Simplify x**(-12/7)/x*x*x*x**(-6/5)*x/((x**(2/9)*x)/x)*x/(x/(x*x*x**(1/9))) assuming x is positive.
x**(307/315)
Simplify (d**(-1/22)/d*d**(-2/5))**(1/47) assuming d is positive.
d**(-159/5170)
Simplify (j/(j**0/j)*(j*j/(j*j*(j*(j/(j/((j*j**(1/2))/j*j)))/j)/j*j)*j)/j*j**(-1/8)/(j**(-6)/j*j*j))**(-1/46) assuming j is positive.
j**(-43/368)
Simplify (x*x*x**(-2)*x**(-8/7))/(x**(2/5)*x/(x*x**(-1/21)*x)) assuming x is positive.
x**(-62/105)
Simplify (j/((j/(j/(j/(j**(-1/28)/j))))/j))**(27/2)/(j**14)**(-3/7) assuming j is positive.
j**(309/56)
Simplify (v*v**(-13)*v*v**(1/10)/v)/(v**(9/2)/(v*v**(-13))) assuming v is positive.
v**(-142/5)
Simplify (i**(-9/7))**(-45)*(i**(-1/11))**28 assuming i is positive.
i**(4259/77)
Simplify ((s*s*s**10*s*s)/s*s)/(s*s**10)*(s*s**6)/(s*s/(s/(s**6*s))*s*s) assuming s is positive.
1
Simplify h**(4/21)/h*h*h**(16/7)*h**(-12)*h/(h/((h**(-7)/h*h)/h*h)) assuming h is positive.
h**(-347/21)
Simplify (i*(i*i**18)/i)**(-3/16)*(i*i**(-2/9)*i)**(-33) assuming i is positive.
i**(-2987/48)
Simplify (g/(g/(g*(g*g**(-8)*g)/g*g)*g)*g*g**(-14)/g)/(g**10*(g**12/g)/g) assuming g is positive.
g**(-40)
Simplify ((x**21/(x/(x*x**(-2/53)/x)*x))**(-1/3))**30 assuming x is positive.
x**(-10050/53)
Simplify f**(-2/23)/(f*f*f/(f*f**12))*f**(-31)/(f**(-8)*f) assuming f is positive.
f**(-324/23)
Simplify ((c/(c/c**(-1/6)))/c**(1/2)*(c**(-2/3))**(-33/2))**45 assuming c is positive.
c**465
Simplify (f/f**(-2/3))/f**(-2)*f*f**(-2/41)*f**(-3/8) assuming f is positive.
f**(4175/984)
Simplify ((i*i*i**(3/10)*i*i*i*i)/(i**15*i))/(i**4)**32 assuming i is positive.
i**(-1377/10)
Simplify (x*x**(-8/5))/(x*x*x**(5/6)*x)*x**(2/19)*x**(-17)*x*x assuming x is positive.
x**(-11017/570)
Simplify (n/(n/(n*n/n**(-3/38)*n))*n*(n/n**(-4/13))/n)**(-3/28) assuming n is positive.
n**(-6501/13832)
Simplify (t*t/t**(-6)*t*t*t**(-2/5)*t**2/(t**(2/7)/t*t))**(-7/10) assuming t is positive.
t**(-198/25)
Simplify ((h/(h*(h/(h/(h/h**(2/3))))/h)*h)/h)**(32/5)*(h/(h/h**(-11)))/h*h*h**(1/2) assuming h is positive.
h**(-187/30)
Simplify (y**9*y*y/y**(-1/15))/(y/(y*y/y**(-1))*y*y*(y*y**7/y)/y*y) assuming y is positive.
y**(61/15)
Simplify (b*b**(-2/19)*b)**13/((b**(-4/5)/b)/(b*b*b**(1/4)*b)) assuming b is positive.
b**(11279/380)
Simplify ((o*o**(2/17))/(((o*o**(-2/111)*o*o)/o)/o))**(-1/24) assuming o is positive.
o**(-32/5661)
Simplify (u*u**(-1/7)*u)**(-34)*(u**(4/5))**(-10) assuming u is positive.
u**(-498/7)
Simplify (f**(1/5))**50/((f/f**(3/8))/(f/(f**(-4/13)*f))) assuming f is positive.
f**(1007/104)
Simplify (((q/q**6)/q)/((q**(1/7)*q)/q))**(-49) assuming q is positive.
q**301
Simplify ((f*f**(-4/7)*f)/((f**(-5)/f)/f))/(f**(1/4))**(-15) assuming f is positive.
f**(341/28)
Simplify ((((k**(4/9)/k)/k*k)/k*k)/k**(-11))/(k**8*k*k/(k**(-2)*k)) assuming k is positive.
k**(-5/9)
Simplify (o**8)**(-9/7)*o**(-4)*o**(-2/7) assuming o is positive.
o**(-102/7)
Simplify a**(-17)/a**(-2/21)*a**(-18)*a*((a**(-6/13)*a)/a)/a assuming a is positive.
a**(-9655/273)
Simplify (c**24*c)/((c*c/c**11*c)/c*c)*(c/((c*c**(3/7)*c)/c*c*c*c))**(-22) assuming c is positive.
c**(759/7)
Simplify ((q/q**(-4))/q)/(q*q**12)*q**(-25)/q*q*q*q**1 assuming q is positive.
q**(-32)
Simplify ((w/w**(5/3))**41)**(-34) assuming w is positive.
w**(2788/3)
Simplify (h**(-2/3))**(2/95)*(h**3)**(-5/14) assuming h is positive.
h**(-4331/3990)
Simplify ((m**(-2/11)*m)/m*m/m**(-8)*m*m**(-11)*m**(-1/11))**(-16/7) assuming m is positive.
m**(32/11)
Simplify (l**3)**(33/7)/(l*l/l**(-1))**(-3/2) assuming l is positive.
l**(261/14)
Simplify l**5*l*l**(-2/23)*l/(l**(2/3)/l)*l**(1/4) assuming l is positive.
l**(2069/276)
Simplify (h/(h*h/(((h*h*(((h*h**(-7))/h*h)/h)/h)/h)/h)))**16*h**(-9)*h/h**(7/4)*h assuming h is positive.
h**(-611/4)
Simplify (k**17*k/(k/((k*k/((k/(k/k**(-7/6)))/k)*k)/k)))**(-2/3) assuming k is positive.
k**(-127/9)
Simplify ((n/((n*n*n**37*n)/n))/n*n/n**(4/11))/(n**(-5)*n*n/n**(-23/2)*n*n*n) assuming n is positive.
n**(-1097/22)
Simplify (s**(-11))**(-10/7)/(s**(1/11)*s**11) assuming s is positive.
s**(356/77)
Simplify ((t/(t**10/t))/t)**(1/21)*((t*t**19)/t)**(-2) assuming t is positive.
t**(-269/7)
Simplify ((h/((h/(h/h**28))/h))/h)/((h**26/h)/h)*(h**(2/19)*h)/(h/(h/h**(-1/5)*h)) assumin


11 - 8)/((-3)/(-2)). Let z(g) = -3*g**m + 5*g + 2*g**2 + 3*g - 6 - 2*g. Give z(6).
-6
Suppose 6 = -3*s + 18. Let i be s*1/(-12)*-9. Suppose 2*w + w - i = 0. Let p(b) = -b**3 + 2*b - 1. Give p(w).
0
Let z(v) = 2*v**2 - 9*v - 2. Let u be (-24 - -2)/(6 + -4). Let w(s) = -10*s**2 + 46*s + 10. Let f(k) = u*z(k) - 2*w(k). Determine f(5).
-13
Let z(a) = -a**3 - a**2 + 4*a + 3. Let o(s) = 3*s - 3. Let v be o(3). Suppose 0 = -v*n + n - 15. Determine z(n).
9
Let n(b) = 2*b - 5*b - 3184 + 3190. Give n(4).
-6
Let i(v) = -v**2 + 0*v**3 - v**3 + 5*v**2 - 2*v**2. Suppose 2*m - 5 = -s, 15*s - 10*s + 5 = 5*m. What is i(s)?
1
Let p(q) = -q**3 + 8. Suppose -2*r + 3*k + 19 - 10 = 0, -4*r - k - 3 = 0. What is p(r)?
8
Let l = -8 + 8. Let o(a) = -4*a - 14. Let c(u) = 3*u + 13. Let d = 18 + -23. Let b(p) = d*c(p) - 4*o(p). Calculate b(l).
-9
Let l(r) = r**2 + 2*r + 2. Let y(g) = 4*g - 7. Let q be y(3). Suppose -m + 11 = q. Let d be 27/m*(-6)/(-9). Give l(d).
17
Let u(v) = -v + 11. Let q be u(8). Suppose 0 = -3*d - d - g + 17, -2*g = -q*d - 1. Suppose -d*o - 6 - 3 = 0. Let p(b) = -b**3 - 3*b**2 - 3*b - 3. Give p(o).
6
Let u(q) = -17*q**2 + 8 - q + 1 - 12 + q**3 + 2*q - 2. Determine u(17).
12
Let r(g) be the second derivative of -g**3/6 - 25*g**2 - 17*g - 7. Calculate r(0).
-50
Let z = 3 + -5. Suppose 3*r = -3*b - 60 + 21, 5*r - 25 = 4*b. Let d be -2 + (b/z)/1. Let i(t) = t**2 - 5*t + 4. Determine i(d).
-2
Let d(t) be the second derivative of t**3/3 + 11*t**2 - 392*t. Give d(-11).
0
Let i(g) = -g. Let u be i(-2). Let p(l) = -3*l**2 - 4*l - l**3 - 20*l + 3 + 27*l - 7*l + 5*l**2. Give p(u).
-5
Let t(o) = 2*o**2 + 2*o + 2. Let b be t(-2). Let m(i) = 1 - 1402*i + 701*i + 703*i - 9. Determine m(b).
4
Let a(h) = -3*h - 15. Let m(l) = -8*l - 43. Let t(i) = -17*a(i) + 6*m(i). Let s = 1 + 1. What is t(s)?
3
Let s(d) = 2*d + 13. Suppose 5*g = 5*r - 50, r = 5*g + 4 + 30. Give s(g).
1
Let t be -2 + 1/(-1)*-1. Let z(n) be the second derivative of n**5/15 + n**3/6 + 2*n**2 - 4*n. Let v(k) be the first derivative of z(k). What is v(t)?
5
Suppose -4 = 2*i, 5*n + 3*i = 24 + 30. Let m(j) = -3 + 9 - 8 + n*j + 1. What is m(1)?
11
Let y = 37 - 42. Let o(u) be the second derivative of -7/6*u**3 - 7/12*u**4 + 0 + 1/2*u**2 + 2*u - 1/20*u**5. What is o(y)?
-14
Let g(i) = 9*i - 1. Let l = -879 + 880. Calculate g(l).
8
Let z(p) = 2*p - 3. Let x = 3 + -2. Suppose 3*v + x = c - 11, 4*c + v - 22 = 0. Determine z(c).
9
Let m = -19 + 13. Let w(j) = j**3 - 3*j**2 + 2*j + 3. Let l be w(3). Let b(n) = -7*n - l + 12*n - 3*n - 4*n. Determine b(m).
3
Let o(d) = 557*d - 1 - 1700*d + 2*d**2 + 578*d + 564*d. Let c(m) = m**2 - 6*m. Let l be c(5). Let u(p) = p + 7. Let v be u(l). Determine o(v).
5
Let o(l) = 4*l + 1. Let t be (-6)/48*-4*(7 - 1). Determine o(t).
13
Let k(g) = -169*g + 671. Let t be k(4). Let j(h) = 6*h + 17. Determine j(t).
-13
Let x(j) = -j**2 - 3*j + 1. Suppose q - 21 = -5*p, 2*q - 10 = -5*p + 12. Suppose -10 = -2*s - p. Let g(r) = -r**2 - r. Let f(u) = s*x(u) - 5*g(u). Give f(2).
3
Let y(a) be the third derivative of -a**6/120 - a**5/12 - a**4/12 - a**3 - 2*a**2 - 1. Determine y(-5).
4
Let s be -1*30*2/(-3). Let o(a) = 1 + 6*a - s*a + 6*a + 14*a. Calculate o(1).
7
Suppose 25 = -i - 4*i. Let n be (-104)/(-10) - (-2)/i. Suppose 5*a + 3*t = 5, 31 - n = 2*a + 5*t. Let m(w) = 2*w**2 + 3*w + 1. Calculate m(a).
3
Let t(l) be the first derivative of l**4/4 + 2*l**3 + 5*l**2/2 + 119. Let q = 0 + 4. Let o be (10/q)/(2/(-4)). Determine t(o).
0
Let t(i) = -28*i - 36*i - 1 - 5 + 62*i. Suppose -3*v = -5*p - 10, -p = -3*v + v + 9. What is t(v)?
-16
Let w(g) be the second derivative of 0*g**4 - 1/20*g**5 + 1/6*g**3 + 0 + 22*g - 1/2*g**2. Give w(-2).
5
Let x(y) = -7*y + 17 + 5*y**2 + 3*y - 13. Let d be x(1). Let u(m) = -3 + 0*m + 4 + m - m**3 + 5*m**2. What is u(d)?
6
Let m(a) = 18*a**2 + a + 1. Let v(y) = 6*y - 10. Let w(g) = -2*g + 3. Let l(c) = -4*v(c) - 11*w(c). Let r be l(4). Calculate m(r).
18
Let f be 2/((-24)/9)*4. Let q(x) be the first derivative of 3*x + 1/3*x**3 + 2*x**2 - 8. What is q(f)?
0
Let i be (-2 - 3/3) + 8. Suppose 3*r = -5*x + 6 - 0, x + i*r = 10. Let k(a) = 5*a + 3. Let t(d) = 14*d + 8. Let j(b) = 17*k(b) - 6*t(b). Determine j(x).
3
Let m = -159 - -157. Let t = 11 - 6. Let w be t - (m - (4 - 5)). Let k(r) = -2*r + 4. Give k(w).
-8
Suppose -3*j - 3 = 0, 4*j + 0*j = -4*k + 4. Let g(u) = u**3 + u. Give g(k).
10
Let y(o) = 8*o**3 + 14*o**2 + 20*o - 2. Let i(d) = -3*d**3 - 5*d**2 - 7*d + 1. Let j(a) = -11*i(a) - 4*y(a). Give j(-3).
-30
Let g(t) = -15*t**3 + t**2. Let x be g(1). Let d(n) be the third derivative of -n**5/60 - 2*n**4/3 - 7*n**3/2 - 404*n**2 + 2*n. Calculate d(x).
7
Let k(y) = -5*y**2 + 10*y + 9. Let n(v) = 9*v**2 - 19*v - 18. Let l(p) = -7*k(p) - 4*n(p). Let q = 10 - 3. What is l(q)?
2
Let w(d) = -7*d + 2. Let k(u) be the third derivative of -13*u**4/24 + 2*u**3/3 + u**2. Suppose 16*j = 9*j - 42. Let m(f) = j*k(f) + 11*w(f). What is m(1)?
-1
Let s = 23 + -3. Suppose -10*q + 70 - s = 0. Let i(o) = -o - 1. Determine i(q).
-6
Let u(s) = -s**2 + s + 1. Let n(m) = m**3 - m**2 - m - 1. Suppose i - 3*i + r + 3 = 0, i + 5*r = -4. Let c(p) = i*n(p) + 4*u(p). Calculate c(4).
-1
Let t(m) = 2*m - 3. Suppose 5*h = 3*h. Suppose -2*u + 7 = j, h = 2*j + u - 5 - 9. Let z = j + -3. What is t(z)?
5
Let f(l) = l**3 + 7*l**2 - 2*l - 10. Suppose -2*r + 20 = 2*h, 3*h - 13 = -2*r + 8. Let b be (4 + r/3)/(-1). Determine f(b).
4
Let f(j) = -2 + j**3 + 2*j**2 + j**2 - 5*j**2 - j + 0*j**2 + 9*j**2. What is f(-7)?
5
Let u(h) = -h. Let p(o) = o**3 + 5*o**2 + 7*o + 7. Let i be p(-5). Let s = i + 27. Calculate u(s).
1
Let j(v) = 59*v - 184*v + 65*v - 12 + 58*v. Calculate j(-12).
12
Let m(p) = -2*p - 8. Let i = -13 + 32. Suppose -8*o = 37 + i. Calculate m(o).
6
Let s be 2/5*450/15. Let r(z) = -z**3 + 11*z**2 + 13*z + 13. Calculate r(s).
25
Let w be 4/(-1)*2/4. Let s(g) be the first derivative of g**4/4 - g**3/3 - g**2/2 - g + 2. Determine s(w).
-11
Let i(y) = -23 + 17 - 152*y + 154*y. Determine i(3).
0
Let c(i) = 3*i + 12 - 3*i + i + i. Let x be c(-9). Let h(v) = -v + 1. Let z(y) = 2*y. Let s(j) = -h(j) - z(j). Calculate s(x).
5
Let p(s) = -2*s + 3. Let r(l) = l. Let a(m) = p(m) + 4*r(m). Let b be -6 + (0 + 2 - 2). Calculate a(b).
-9
Suppose -3*f - 3*g = -12, -9*f + 6*f = -4*g + 16. Suppose -5*v - 3*c + 15 = 0, 3*v - c = c + 9. Let s(y) = -v - y**2 - y**3 - 1 + 0. Determine s(f).
-4
Let f(n) = 11*n - 10. Let y(w) = 6*w - 9. Let j(i) = 3*f(i) - 4*y(i). What is j(-6)?
-48
Suppose 4*f - v = 1, -4*f + 4*v + 1 - 9 = 0. Suppose -2*h = -11 - f. Let z(j) = -j + 6. What is z(h)?
0
Let j(x) = 14*x**3 - x**2 - 5*x - 4. Let t(c) = c + 1. Let o = -11 - -13. Suppose s + o*s = 12. Let p(z) = s*t(z) + j(z). Give p(-1).
-14
Suppose 4*m = -3*b - 5, 0*b = 5*m - b + 30. Let g(r) = 3*r**3 + 19*r**2 + 3*r - 1. Let j(l) = 2*l**3 + 10*l**2 + 2*l. Let c(p) = m*j(p) + 3*g(p). Give c(7).
-10
Let f be 2*(135/6)/(-5). Let a(y) = -2*y**3 - 18*y**2 + 3. Let b be a(f). Let v(q) be the second derivative of 2*q**3/3 - 2*q**2 - q. Give v(b).
8
Let m = 91 + -86. Let v(p) = -m - 115*p + 112*p + 3. Give v(-4).
10
Let l be 3/(-2) + 4/(-8) + -1. Let r be (-1 - l/2) + 60/40. Let p(b) = -5*b + 3. Give p(r).
-7
Let r(d) be the first derivative of -3*d**4/2 + d**3/3 - d**2/2 - d - 104. What is r(-1)?
7
Let p(u) = 6*u + 6. Let t(v) be the second derivative of v**3/6 + v**2/2 + 7*v. Let j(i) = -6*p(i) + 34*t(i). Suppose 2 = -3*s - 7. Determine j(s).
4
Let q(b) = -16*b + 45. Let k(g) = -3*g + 9. Let n(h) = -11*k(h) + 2*q(h). Determine n(3).
-6
Let i(c) = -2*c**2 - 6*c + 28. Let z be i(3). Let d(s) = s**3 + 9*s**2 - s + 7. Let r(w) = -3*w**3 - 26*w**2 + 4*w - 22. Let j(q) = z*d(q) - 3*r(q). Give j(-7).
-11
Suppose 15 = o + 2*o + 3*n, -n + 1 = 0. Let u(w) = -w**2 + 7*w - 7. Calculate u(o).
5
Suppose -2*c + 4*k = -4, -c - 5*k = -26 - 11. Let t(j) = j**2 - 12*j - 11. Give t(c).
-11
Let k(u) = u**2 + 10*u - 18. Let w(a) = 4*a**2 + 48*a - 86. Let g(t) = -14*k(t) + 3*w(t). What is g(2)?
-6
Suppose -t - 13*t = -14. Let r(s) = -s**3 - s + 1. Determine r(t).
-1
Let n(x) be the third derivative of x**5/60 + x**4/3 - 9*x**2. Let j be ((-64)/6)/(8/24). Let b be 18/12*j/6. Give n(b).
0
Suppose 8*b - s = 5*b - 3, 1 = 4*b - 3*s. Let p(o) be the second derivative of o*


nd the third derivative of 9*i**2 - 7*i**3 + 7*i**3 - 13*i**3 wrt i.
-78
Let q(r) be the first derivative of -r**6/120 + r**5/120 + r**3 - 3. Let k(l) be the third derivative of q(l). What is the second derivative of k(h) wrt h?
-6
Suppose 3*a + 0*h - 3 = -h, a + 2*h + 4 = 0. What is the second derivative of 0*p + a*p**5 - p - 2*p wrt p?
40*p**3
Differentiate 33*l**4 + 17 + 11*l**2 - 11*l**2 + 10 with respect to l.
132*l**3
Let r(k) be the second derivative of 0*k**2 + 1/6*k**4 + 0*k**3 + 0 - 1/14*k**7 + 0*k**6 - 3*k + 0*k**5. Find the third derivative of r(i) wrt i.
-180*i**2
Let r(g) = -74*g**2 - 3*g - 20. Let h(o) = -25*o**2 - o - 7. Let w(f) = 11*h(f) - 4*r(f). What is the second derivative of w(t) wrt t?
42
Let g(y) = y. Let t be g(2). Find the third derivative of -s**5 + 4*s**2 - s**2 + s**t + 2*s**5 wrt s.
60*s**2
Let i(l) = 18*l**2 - l. Let c(h) = h**2 - h. Let q(r) = 4*c(r) - i(r). Find the second derivative of q(w) wrt w.
-28
What is the derivative of 47*z**4 - 30 - 15 + 1 + 2 wrt z?
188*z**3
Let q = 6 + -2. Find the first derivative of q + 2*p**2 - 1 - 4 wrt p.
4*p
Let q(i) be the second derivative of 3*i**8/560 - i**4/6 - i**3/6 - 6*i. Let g(c) be the second derivative of q(c). Differentiate g(v) wrt v.
36*v**3
Let j(l) = l**2 - 2*l**2 + 3 + 7*l - 5. Let n be j(6). Find the second derivative of 0*g**5 - n*g + g**5 + 3*g wrt g.
20*g**3
Let s be 5/(-25) - (-5)/25. Let b(a) be the first derivative of 3/4*a**4 + 0*a + 2*a**2 + s*a**3 - 3. What is the second derivative of b(f) wrt f?
18*f
Let u(y) = 21*y**3 + 12*y + 13. Let j(t) = 10*t**3 + 6*t + 6. Let l(s) = 13*j(s) - 6*u(s). Find the second derivative of l(h) wrt h.
24*h
Let d(l) = 39*l**4 - 9*l**2. Let a(k) = -19*k**4 + 4*k**2. Let g(q) = -5*a(q) - 3*d(q). What is the third derivative of g(z) wrt z?
-528*z
Let i = 22 + -13. What is the third derivative of -a**4 - 2*a**2 + 9*a + 5*a**2 - i*a wrt a?
-24*a
Let f(l) be the first derivative of -l**7/42 - l**4/24 - 5*l**2/2 + 3. Let k(v) be the second derivative of f(v). Find the second derivative of k(n) wrt n.
-60*n**2
Let k(i) be the third derivative of -i**8/6720 + i**5/60 + i**4/8 - i**2. Let z(l) be the second derivative of k(l). Find the first derivative of z(s) wrt s.
-3*s**2
Differentiate 36*c - 7 + 0 - 40*c wrt c.
-4
Let k(a) = -a**3 - a**2 - 2. Let u(c) = c**3 - 1. Suppose 0*n - 3 = 3*n. Let l(o) = n*k(o) + 2*u(o). What is the third derivative of l(w) wrt w?
18
Let m = 3 + -1. Find the second derivative of -2*c - m*c**2 + 0*c**2 + 4*c wrt c.
-4
Let h = -5 + 11. Let o be h/(-4)*(4 + -8). Find the third derivative of 4*z**o + 7 + 3*z**2 - 7 - 3*z**6 wrt z.
120*z**3
Suppose -2*k - 6 = -3*i, -5 = 5*k - 9*i + 4*i. What is the third derivative of k*m**6 - m**2 - 67*m**4 + 67*m**4 wrt m?
360*m**3
Suppose -4*h = i + 2, 2*i - 9 = -i + 3*h. What is the second derivative of -i*u**4 + 3*u - u**4 + 3*u**4 + u**4 wrt u?
12*u**2
Let f(v) be the second derivative of -9*v**5/10 - 5*v**3/6 - 18*v. What is the second derivative of f(m) wrt m?
-108*m
Let h be 24/10 - 4/10. Find the second derivative of -2*t - 3*t**3 + 4*t + h*t**3 wrt t.
-6*t
Let w(i) be the first derivative of -14*i**5/5 + 5*i**3 - 7. Find the third derivative of w(l) wrt l.
-336*l
Suppose 0*j - 3*j = -2*p - 13, -p = 2*j - 11. Find the second derivative of 4*x - 5*x + 6*x**5 - 4*x**j wrt x.
40*x**3
Let s(y) = -2 - 6*y + y**2 - 3 - 1. Let k be s(7). What is the derivative of 3*h**3 - k + 18*h**2 - 18*h**2 wrt h?
9*h**2
What is the third derivative of -2*d**2 - 33*d**5 + 21*d**5 - d**2 + d**2 wrt d?
-720*d**2
Let r(o) = -10*o**2 - 2*o + 1. Let s(u) = u**2 + u. Let f(x) = -r(x) - 2*s(x). Differentiate f(t) with respect to t.
16*t
Let w = 0 - 0. Suppose 3*l - 6 = -w. Find the third derivative of 0*c**2 - c**2 - l*c**6 + 0*c**6 wrt c.
-240*c**3
What is the derivative of 20*m**2 - 101 + 33 + 29 wrt m?
40*m
Let x be (2 - 1) + 1 + -2. Suppose -h - h + 8 = x. Find the second derivative of 5*v**3 + v**3 - h*v**3 + 2*v wrt v.
12*v
Let r(d) be the first derivative of 3*d**5/20 - d**3/6 + 2*d - 2. Let p(y) be the first derivative of r(y). What is the second derivative of p(o) wrt o?
18*o
Let d(i) be the second derivative of i**4/12 + 3*i**2/2 + 4*i. What is the first derivative of d(a) wrt a?
2*a
Let g(a) = 1. Let r(o) = 4*o - 10. Let x(t) = 2*g(t) + r(t). What is the first derivative of x(p) wrt p?
4
Let o(h) = 0*h - h + 2*h - 1. Let u(d) = -4 - 1 + 4. Let c(j) = -2*o(j) + 3*u(j). What is the first derivative of c(l) wrt l?
-2
Let o(v) be the first derivative of 8*v**4 - 11*v + 30. What is the first derivative of o(j) wrt j?
96*j**2
Let y(a) = -a**5 + a**4 - a**3 - 1. Let z(u) = 3*u**5 + 5*u**4 - 5*u**3 + u**2 - 5. Let r(g) = -5*y(g) + z(g). What is the third derivative of r(q) wrt q?
480*q**2
Let j(s) be the first derivative of -s**6/24 + 2*s**3/3 - 5*s**2/2 - 2. Let u(c) be the second derivative of j(c). Differentiate u(d) with respect to d.
-15*d**2
Suppose 3 + 3 = 3*m. Suppose -m*w + 5*w = 6. What is the third derivative of -t**3 + t**2 + t + w*t**3 - t wrt t?
6
Let o be (-132)/(-33) - (-4)/(-2). Let y(u) be the first derivative of -1/4*u**4 + 0*u**o + u**3 + 0*u + 4. Find the third derivative of y(p) wrt p.
-6
Let w(l) = 26*l**2 + 26*l - 11. Let a(v) = -9*v**2 - 9*v + 4. Let r(f) = -11*a(f) - 4*w(f). What is the second derivative of r(y) wrt y?
-10
Suppose -2*i + 0 + 14 = 0. What is the derivative of -6*y**4 - y - i + y wrt y?
-24*y**3
Let k = 2 + 0. Let l = 5 + -1. Find the third derivative of 12*f - 12*f + 3*f**l - k*f**2 wrt f.
72*f
Let m = -32/3 - -11. Let u(h) be the first derivative of -1/2*h**4 + 0*h + 0*h**2 - 2 - m*h**3. Find the third derivative of u(z) wrt z.
-12
Let d = 5 + 1. Find the third derivative of -y**d - y**2 - 4*y**4 + 4*y**4 + 2*y**6 wrt y.
120*y**3
Let q(c) = 2*c - 1. Let m be q(2). Differentiate -34*b - 4*b**3 + 34*b + m*b**3 - 4 with respect to b.
-3*b**2
Let i = 3 + -2. Let h(g) be the first derivative of -1/2*g**2 + i + 2/3*g**3 + 0*g. Find the second derivative of h(u) wrt u.
4
Let k = 6 - 9. Let u(b) = -b**5 - b**4 - b**3. Let v(i) = -3*i**4 - 3*i**3 - 2*i. Let x(p) = k*u(p) + v(p). Find the second derivative of x(f) wrt f.
60*f**3
Let u(x) be the first derivative of 0*x - 2/3*x**3 - 3/2*x**2 - 2. Find the second derivative of u(k) wrt k.
-4
Let a(d) be the first derivative of 2*d**3 - 2*d - 6. What is the first derivative of a(h) wrt h?
12*h
Let c(r) be the third derivative of -5*r**9/504 - r**5/4 + 14*r**2. Find the third derivative of c(v) wrt v.
-600*v**3
Suppose 0*z = -o - 2*z + 12, -4*o - 4 = -5*z. Suppose 0 = -o*h + 8. What is the third derivative of -3*l**2 - 3*l**5 + h*l**2 - l**5 + 4*l**2 wrt l?
-240*l**2
Let v(m) = -4*m**2 - 4*m. Let b(l) = -l + 1. Let q = -8 - -12. Let f(p) = q*b(p) - v(p). What is the derivative of f(g) wrt g?
8*g
Let z be -3 - -2 - 13/(-12). Let v(g) be the third derivative of 2*g**2 + z*g**4 + 1/3*g**3 + 0*g + 0. What is the derivative of v(m) wrt m?
2
Let n(f) = -3*f**5 - 2*f**4 - f**2. Let r = -2 - 0. Let y(j) = -3*j**5 - 3*j**4 - j**2. Let d(a) = r*y(a) + 3*n(a). Find the third derivative of d(u) wrt u.
-180*u**2
Let n(t) be the first derivative of 2*t**7/105 + t**5/30 - 2*t**2 - 1. Let x(v) be the second derivative of n(v). Find the third derivative of x(k) wrt k.
96*k
Find the third derivative of -70*v**5 + 37*v**2 - v**4 - v - 46*v**5 + 93*v**5 wrt v.
-1380*v**2 - 24*v
Suppose w - 3*i = -w - 8, -w + 5*i = 18. What is the second derivative of -m + 3*m**2 - w*m**2 + m**2 wrt m?
4
Suppose a + 0*a + 4 = 0. Let y be (-8)/a + (1 - -1). Find the second derivative of -y*d**2 - d**5 + 4*d**2 - d wrt d.
-20*d**3
Suppose -22 = g - 5*r, 0 = 3*g - 0*r + 3*r - 24. Suppose -5*f - 5*d = -0*d - 15, -g*f + 14 = -2*d. Find the first derivative of c**3 - 2 - 4*c + f*c wrt c.
3*c**2
Let a(s) be the third derivative of 1/8*s**4 + 0*s**3 + 0*s + 1/120*s**6 + s**2 + 0*s**5 + 0. What is the second derivative of a(v) wrt v?
6*v
Let q(l) = -62*l**3 - 10*l + 8. Let p(c) = -185*c**3 - 29*c + 23. Let w(v) = -4*p(v) + 11*q(v). Find the second derivative of w(s) wrt s.
348*s
What is the third derivative of -14*q**2 - 65 - 61 + 126 + 14*q**3 wrt q?
84
Let y(v) = -4*v + 1. Suppose 4*i - 9 = 4*h - i, -4*h = 5*i - 1. Let p be y(h). What is the third


-0.23. Let i = -0.07 - p. Let x = -0.02 - i. Round x to 2 decimal places.
-0.04
Let h = 66.5 + -54. Let s = -12.50000057 + h. Round s to 7 dps.
-0.0000006
Let w be (-5)/4*2*-2. Suppose 3*i + 4*l + 427 = 0, w*l + 280 = -4*i + 2*i. What is i rounded to the nearest ten?
-150
Let w = 34941 - 34962.989. Let n = w - -0.189. Round n to the nearest integer.
-22
Let y = 5 + -4.8. Let t = -1171613 - -1171612.79999904. Let o = y + t. What is o rounded to 7 decimal places?
-0.000001
Let p = 0.6 + -1.4. Let a = -0.137 - -1.407. Let i = a + p. What is i rounded to one decimal place?
0.5
Let z = 23.9 + -25. Let v = z - -5.1. Let u = -4.0004 + v. What is u rounded to 4 decimal places?
-0.0004
Let b = 0.043 + 0.087. What is b rounded to one decimal place?
0.1
Let o = 9.41 + -17.3. What is o rounded to the nearest integer?
-8
Let z = -16.98 + 17. Round z to one dp.
0
Let t = -11726.389998 + 11726.2. Let g = -0.19 - t. Round g to 5 decimal places.
0
Let b = 59 + -85. Let s = 25.99991 + b. Round s to four dps.
-0.0001
Let m = 602612744.170184 - 602608714. Let o = -3863.1701751 + m. Let q = 167 - o. Round q to six dps.
-0.000009
Let h = 466433 - 2929321. Let c = h + 2462890.399974. Let t = c + -2.4. What is t rounded to 5 decimal places?
-0.00003
Let h = 67 + -67.00000012. What is h rounded to 7 dps?
-0.0000001
Let p = -6.2000248 - -6.2. Round p to 6 dps.
-0.000025
Let h = -46969 + 6914. Let k = h - -6055. What is k rounded to the nearest ten thousand?
-30000
Suppose -3*a + o - 7079 = a, -2*o = 2. Round a to the nearest 100.
-1800
Let k = -0.8096 - -0.8. Round k to three decimal places.
-0.01
Let d be (-8 + 7)/((-3)/(-183)). Round d to the nearest 10.
-60
Let d = 8 + -7.7. What is d rounded to the nearest integer?
0
Let z = -2 + -7. Let v = 9.0012 + z. Round v to 3 dps.
0.001
Let z = 387857079 + -1206510319. Let i = z - -818653174.99999942. Let r = i - -65. Round r to 7 decimal places.
-0.0000006
Let y = -6.6 + 6.599646. Round y to four decimal places.
-0.0004
Let r = -477398 - -477401.199792. Let d = -3.2 + r. What is d rounded to five dps?
-0.00021
Suppose 0 = -5*g + 27 + 8. Let o = g - 5. Suppose 40000 = o*m - 0*m. Round m to the nearest ten thousand.
20000
Let c be ((-2500)/8)/((-1)/(-24000)). What is c rounded to the nearest 1000000?
-8000000
Suppose -6*l - 14 = -3*l + 5*o, -3*o = 3. Let h be (2/l)/((-1)/(-12450)). What is h rounded to the nearest one thousand?
-8000
Let t = -129321288 - -129321288.55000057. Let d = t - 0.55. What is d rounded to seven decimal places?
0.0000006
Let n = -10.8008325 - 1230072207.1991675. Let k = n - -1230072242.99999935. Let s = -25 + k. Round s to seven dps.
-0.0000007
Let i = 718703 - 718702.83999928. Let g = 0.16 - i. Round g to seven dps.
-0.0000007
Let v = -4550 - -17450. Round v to the nearest 1000.
13000
Let x = 132591643.69999959 + -132591639. Let b = x + -4.7. What is b rounded to 7 dps?
-0.0000004
Suppose 2*w - 5*f = -5, 4*w - 27 = 5*f - 12. Let g be (-1)/(1*2/(-8)). Suppose -44 = g*o - 2*p, o + 2*p + 1 = -w. What is o rounded to the nearest ten?
-10
Let k = 8.0871 + -8.14. Round k to two decimal places.
-0.05
Let j(g) = -g**3 + 4*g**2 + g - 4. Let d be j(4). Suppose u + v = -u - 7, d = -v - 3. Let b be 48*(u + -1 + -5622). Round b to the nearest one hundred thousand.
-300000
Let o = 0.1430398 + -0.143. What is o rounded to 6 decimal places?
0.00004
Let a = 27.7 - 31. Let x = a + 3.300038. What is x rounded to 5 decimal places?
0.00004
Suppose 0 = -2*j - 3*j - 5*u + 20, -u - 1 = 0. Suppose -2*k - 5*q = -26190, k - 2*k - j*q = -13090. What is k rounded to the nearest 1000?
13000
Let l = -10.1 - -2.1. Let p = l + 8.1. Let r = 0.13 - p. What is r rounded to one dp?
0
Let x = -0.12 + 5.12. Let a = 4.97 - x. Let c = 0.0217 + a. What is c rounded to 3 dps?
-0.008
Suppose -5*j + 147696 + 52304 = 0. Round j to the nearest ten thousand.
40000
Let s = 0.165 - 0.1649887. Round s to six dps.
0.000011
Let z = -1.55 + -0.5. Let n = 2 + z. Let c = 0.049963 + n. Round c to five decimal places.
-0.00004
Let r = -96 - -86.6. What is r rounded to the nearest integer?
-9
Let v = 547 - 213. Let i = 222 - v. Round i to the nearest 10.
-110
Let l = 4.06 + -4. Let z = l + -0.76. Round z to zero decimal places.
-1
Let d = -10 - -7. What is d rounded to the nearest ten?
0
Let g = 1.1 - 2.4. Let z = 8.7 + -6. Let c = z + g. Round c to zero decimal places.
1
Let s = -11 + 50. Let t = s - -7. Let d = t - 45.99999941. What is d rounded to seven dps?
0.0000006
Let t(f) = -25000*f**3 - f**2 + 7*f + 8. Let i be t(8). What is i rounded to the nearest one million?
-13000000
Suppose f = -3*f - 7680. Round f to the nearest one hundred.
-1900
Suppose -u + 6*u - 7700 = 0. Round u to the nearest one hundred.
1500
Let n = -0.18131 + 0.182. Round n to 4 decimal places.
0.0007
Let h = -1912 + 3507. Let m = 1749.3 - h. Let n = -147 + m. What is n rounded to the nearest integer?
7
Let q = 9 + -22. Let g = -12.9999955 - q. Round g to 6 dps.
0.000005
Let i = -3409 + 3562.9. Round i to the nearest ten.
150
Let g = 150 - 150.00000206. Round g to seven decimal places.
-0.0000021
Let z = -36.3 - -36.2999751. What is z rounded to 6 decimal places?
-0.000025
Let h = 51.69 - 48. What is h rounded to one dp?
3.7
Let l = 6 - 6.0013. What is l rounded to 3 dps?
-0.001
Let h = -1.11 - -1.11021. Round h to four dps.
0.0002
Let q(w) = w**3 - 8*w**2 - 8*w - 8. Let z be q(9). Let x(o) = 3*o + 1. Let b be x(-1). Let i be (z*1875)/(b/256). Round i to the nearest one hundred thousand.
-200000
Suppose 2*s = -v, 0*v + 6 = 3*v. Let a be 1039998/s + 2/(-1). What is a rounded to the nearest one hundred thousand?
-1000000
Let d be -8300*(-1 + -1 + 22). Round d to the nearest ten thousand.
-170000
Let s = -0.02499945 + 0.025. What is s rounded to 7 dps?
0.0000006
Let g = -0.066 - -0.06824. Round g to 4 decimal places.
0.0022
Let t = 1162 + -360. Let g(n) = 2 - t*n - 1 - 67*n. Let p be g(-1). Round p to the nearest 100.
900
Let j = -7.92 + 11. Let w = j + -2.6. Round w to 1 decimal place.
0.5
Let f = -340083964392768.0299941 - -340083982844275. Let h = 18451508 - f. Let j = -1.03 + h. What is j rounded to 6 dps?
-0.000006
Let z(x) = -12199*x**3 - 10*x**2 - x + 10. Let n be z(10). Round n to the nearest 1000000.
-12000000
Suppose 0 = 5*w + x - 5*x + 1854, 0 = -2*w - 2*x - 738. Round w to the nearest one hundred.
-400
Let g = -1.3 - -1. What is g rounded to zero decimal places?
0
Let g = -4219793182249.999986 + 4219798508822. Let f = g + -5326567. Let t = -5 + f. Round t to five dps.
0.00001
Let l = -27 - -26. Let a(i) = 0 - i - 269*i**3 + 0. Let d be a(l). Round d to the nearest one hundred.
300
Let v = -17.92 + -0.08. Let a = v - -17.99. What is a rounded to 2 decimal places?
-0.01
Let y = -231 + 101. Let j be (-10405)/10*(0 + y). Let o = -64735 - j. What is o rounded to the nearest 1000000?
0
Let m = -1.5 - -1.499992. What is m rounded to six dps?
-0.000008
Let l = 308.86 + -316. Let a = 6.87 + 0.13. Let g = l + a. What is g rounded to one dp?
-0.1
Let k = 0.1 + -0.2. Let g = k - -0.10094. Round g to 4 decimal places.
0.0009
Let d be (-282000004)/(-10) + (-10)/25. Round d to the nearest 1000000.
28000000
Let n = -1.6 + -0.4. Let h = -1 - n. Let u = h - 0.9991. What is u rounded to three decimal places?
0.001
Let j be (-407)/(-3) + 16/(-24). Round j to the nearest ten.
140
Let w = 0.845 + 4.161. Let d = -5 + w. What is d rounded to 3 decimal places?
0.006
Let d = -0.1660067 + 0.166. Round d to 6 decimal places.
-0.000007
Let s = 8088.9975 - 8115. Let v = -26 - s. What is v rounded to 3 decimal places?
0.003
Let o be ((-3)/(-2))/(4/8). Suppose -12 = -6*b + o*b. Suppose b*y = 8 - 4. Round y to the nearest 10.
0
Suppose -5*m = -5*f + 6476 - 40001, -5*m - 20075 = 3*f. What is f rounded to the nearest 1000?
-7000
Let b = -689 - -801.4. Let t = b + -103. Round t to the nearest integer.
9
Suppose -w - 3*b = -5*b + 92, 3*w = 3*b - 288. Round w to the nearest 100.
-100
Let r = -0.10499794 + 0.105. Round r to 7 dps.
0.0000021
Let v = -2.5558 - -2.59. Round v to 3 decimal places.
0.034
Let k = -0.013 - 5.187. Let z = -5.19999899 - k. Round z to 7 decimal places.
0.000001
Suppose -5*k + 18 = -2*a, 10 = -a - 0*a + 3*k. Let j be (a/(-3))/(4/(-2760)). What is j rounded to the nearest 100?
-900
Let o


h is the second biggest value?  (a) 2  (b) o  (c) -3/5  (d) 0
d
Let x = -1.69 - -1.6. Let w = -2.09 - x. Which is the third biggest value?  (a) 0.5  (b) w  (c) -5
c
Let h = 1.22 - 0.22. What is the third smallest value in -2, h, -1/10?
h
Let z = 7 + -7.5. Let r(y) = -y + 11. Suppose 4*f + 1 = 29. Let u be r(f). Which is the third smallest value?  (a) -1  (b) z  (c) u
c
Let g = 137 + -132. Let i = 0.2 + 0. What is the second biggest value in i, g, -1/4?
i
Suppose 2 = 5*q - 3. Suppose 0 = 4*l + l. Let j be l - (2 - 36/14). Which is the third biggest value?  (a) j  (b) q  (c) -0.2
c
Let h = -57 - -41. Let z = h + 20. What is the third biggest value in z, 0.1, 1/7?
0.1
Let g = -113 + 109. What is the third biggest value in g, 5, -0.13?
g
Let u = 2140/9 + -238. Let s = 11 - 7. What is the smallest value in u, 2, s?
u
Let p = -0.01 + 3.01. Let z = -39.8 - -40. Which is the second biggest value?  (a) 4  (b) p  (c) z
b
Let x(n) = -n**3 - 8*n**2 + 9*n - 12. Let d be x(-9). Let y be ((-2)/d)/(9/12). Which is the third smallest value?  (a) y  (b) 3/8  (c) 4
c
Let j = -8 + 4. Which is the second biggest value?  (a) 4  (b) j  (c) -3
c
Let h be 0 - (-165)/(-57) - -3. Which is the second smallest value?  (a) -4/5  (b) h  (c) -5
a
Let x = -1.2 + -10.8. Let w = -11.7 - x. Which is the second smallest value?  (a) -0.3  (b) w  (c) 3/7
b
Suppose 4*l + 2 = -2. Suppose 3*n + 6 = -0. Let f be 14/(-6) + n/l. Which is the third smallest value?  (a) f  (b) -4  (c) -4/5
a
Let s = 1/42 - 4/21. What is the smallest value in 3, s, 33?
s
Let s = -193/804 + -2/201. What is the smallest value in 0, -0.1, s?
s
Let i = -2.55 - -7.314. Let g = i - -0.036. Let n = -5 + g. What is the second smallest value in n, -1/11, 4/7?
-1/11
Let x = -11 - -16. Let r = x + -4.7. Which is the second smallest value?  (a) -0.3  (b) r  (c) 0.1
c
Let u = 1.9 + -2. Let x = 304882/11 + -233231419/8415. Let i = 1/153 + x. What is the third smallest value in u, 5, i?
5
Suppose -l - 5*v + v = 15, 5*v = -3*l - 10. Suppose 3*j - l*j = 0. Which is the second smallest value?  (a) j  (b) -3  (c) 0.3
a
Let s(i) = i**3 + 9*i**2 - 10*i + 10. Let k be s(-10). What is the smallest value in k, 0, 1/2?
0
Let q = -8.8 + 9. Let i = 0.5 - q. What is the second biggest value in i, 3, -5?
i
Let h = -29 + 71. Let o = h - 23. Suppose -3*z - 4 = -o. Which is the smallest value?  (a) 4  (b) 5/2  (c) z
b
Let v = -0.03 - -4.03. What is the third smallest value in 0.1, -0.1, v?
v
Suppose 7 = 2*u + 1. Let r be ((-2)/3)/(2/18). Let m be r/(-9) - 13/15. What is the second smallest value in m, -4, u?
m
Let j = 10.6 + 2.4. Let l = -13.2 + j. What is the third smallest value in 1, l, 0.1?
1
Suppose 0 = 3*l + l + 8. Let v = l - 1. What is the third smallest value in 3, -2, v?
3
Let z = -58 + 54. What is the smallest value in 8, z, 1?
z
Suppose -5 = -d - 0*d + 5*v, 4*v = -4. Which is the biggest value?  (a) -2/3  (b) d  (c) 0.1
c
Suppose 3*r = 2*r - 2. Let p be (-1 - -3)/(6 + r). What is the second smallest value in p, -5, -1?
-1
Let c = 0.9 - 0.2. What is the second biggest value in 0, c, -3/2?
0
Let k = -4.01 - -1.01. What is the third biggest value in 1/4, k, -1/2?
k
Let p = 302 + -304. Let h = 4 - 15/4. What is the second biggest value in -0.5, p, h?
-0.5
Let w = -1 + 1.1. Let u = -2/5 - 4/15. Which is the biggest value?  (a) u  (b) 2/3  (c) w
b
Suppose -9 = -3*i - 33. Let q be ((-4)/i)/((-2)/4). Let k = -1 + q. Which is the biggest value?  (a) 0.2  (b) k  (c) -2/5
a
Let o = -1.9 - 3.1. Which is the smallest value?  (a) 0.4  (b) 5  (c) o  (d) -1/3
c
Let d = 0 + 7. What is the smallest value in d, 0.1, 3/7?
0.1
Let g(y) = -2*y**2 - 2*y + 2. Let s be g(-2). What is the third biggest value in 1, -6, s?
-6
Let p = -0.14 + -4.86. Which is the third smallest value?  (a) 0  (b) p  (c) 2/17
c
Let x = -3.7 + 4. Suppose 0 = 3*p + 6 - 0. Let k be 1 + p - 5/(-7). Which is the second smallest value?  (a) -0.2  (b) x  (c) k
a
Let a = -47/2 - -23. Let f = 2 + -3. What is the third smallest value in f, a, 5?
5
Let k = 1.5 + 3.5. Which is the second smallest value?  (a) k  (b) 3  (c) -2
b
Let p(z) = -z**3 + 11*z**2 + 12*z + 3. Let i be p(12). Suppose 0 = 2*y - 7*y - m, 5*y - i*m - 20 = 0. Which is the biggest value?  (a) y  (b) -4  (c) 2
c
Let u(o) = -o**3 + 8*o**2 + 2. Let k be u(8). What is the biggest value in 0, -6, k?
k
Let n(u) = 3*u - 12. Let o be n(5). Which is the third biggest value?  (a) o  (b) 2  (c) 2/5
c
Let q be (0 - 2)*(-2)/(-18). Let f(i) = 2*i - 3. Let y be f(2). Let t = -991.5 + 992. Which is the third smallest value?  (a) q  (b) t  (c) y
c
Let k = -0.31 - -0.01. Suppose -2*b + 2*w = -10, 2 = -b + 5*w + 7. What is the third biggest value in -2, k, b?
-2
Let h = 0.1 + -0.3. Let m = 10 - 2. Let w = -5 + m. Which is the second biggest value?  (a) h  (b) w  (c) -5
a
Let r = -2781/11 + 253. What is the biggest value in 0.3, 4, r?
4
Let c = -2.3 - -2. Let w = -82 - -76. What is the biggest value in -4, c, w?
c
Let o = -0.7 - -1.1. Let n = 1.6 + o. Which is the biggest value?  (a) n  (b) 0.2  (c) 0.1
a
Suppose 0*t = t - 4. Let j be ((-2)/14)/(7/(-21)). Let s = -0.2 - 1.8. Which is the smallest value?  (a) t  (b) s  (c) j
b
Suppose 3*t + 97 = 4*f, -5*f + t + 140 = 16. Suppose r = f - 10. Let j be (r/20)/(9/8). What is the third biggest value in j, -0.2, 3?
-0.2
Let p = 0 + 0.3. Let h = p + -0.2. What is the smallest value in h, -2/9, -0.5?
-0.5
Let l = 1.5 + -1.9. Let y(d) = -d + 4. Let z be y(8). Which is the second biggest value?  (a) z  (b) l  (c) -3
c
Let b = 0 - 3. Let s = 0.2 + -0.1. Let g = -0.1 + s. What is the third smallest value in 3, g, b?
3
Let d = -3.1 - -7.1. Which is the biggest value?  (a) -2  (b) -5  (c) d
c
Let x = -95 + 93. Which is the smallest value?  (a) 0.1  (b) x  (c) -0.5
b
Let l = 112/39 - 20/13. Which is the fourth smallest value?  (a) l  (b) 0.5  (c) 2  (d) 0.2
c
Suppose -r = -3*r + 20. Suppose 2*b - 5 = -o, -b + o = 4*o + r. Suppose -b*m + 15 = 5. What is the second biggest value in 5, 4/7, m?
m
Let x = -25.46 - 0.54. Let m = x + 25.5. What is the second biggest value in m, -0.3, -2?
m
Let v = -102 + 49. Let n = v - -211/4. Let s be 2/(-6) - (0 + -1). What is the third smallest value in n, 1, s?
1
Let p be 12/10*10/4. Suppose -2*u + 8 = -5*v, 6*u = 2*u - p*v - 10. What is the second smallest value in 0.5, -0.4, u?
-0.4
Let g(b) = -9*b - 13. Let s be g(-1). Let o = 27/4 - 55/8. What is the second smallest value in s, -2/9, o?
-2/9
Let q = 0.29 - -0.71. Let x = 1.94 + 0.06. Let z = x - q. Which is the biggest value?  (a) z  (b) -5  (c) 1/2
a
Let x = 0.174 - -69.826. Let v = 65.9 - x. Let o = 0.1 + v. Which is the biggest value?  (a) 4/3  (b) o  (c) -1/4
a
Let x = 104 + -1142/11. Let l = -0.005 - -1.005. What is the second smallest value in x, -2, l?
x
Let z = 0 + -0.2. Let q = -1.6 + 0.6. Let g = 0.5 + q. Which is the smallest value?  (a) -5  (b) g  (c) z
a
Let i = 15.3 + 0.7. Let n = -16.3 + i. What is the smallest value in -0.1, n, -11?
-11
Let s = -1 + 1.1. Let b = s + 2.9. What is the second biggest value in -3/5, b, 4/7?
4/7
Let j(q) = -2*q**3 - 3*q**2 - q - 2. Let s be j(-2). Which is the fourth biggest value?  (a) 1  (b) s  (c) 2  (d) -0.3
d
Let v = -0.041 - -0.141. What is the smallest value in 2, v, 0?
0
Let z = -1.1 - -2.1. Which is the biggest value?  (a) z  (b) -19  (c) 2/11
a
Let f = -70 + 73. What is the third biggest value in f, 0.11, 0.1?
0.1
Let x = 0.04 - -0.26. What is the third smallest value in x, 0.2, 0.4?
0.4
Let y be (-6)/(2 - -1) - -2. Let d = -0.5 - -3.5. What is the biggest value in -0.2, y, d?
d
Let i = -0.9 + 1. Let x = 97644 - 881044/9. Let d = -250 - x. What is the smallest value in 2/17, i, d?
d
Let a = 57 + -50. Let y = 0 + 2. What is the third smallest value in y, -0.4, a?
a
Suppose -4*h + 19 = 23. Which is the second biggest value?  (a) 4/5  (b) h  (c) 7
a
Let h = 15.5 + -14.5. Which is the biggest value?  (a) 5/4  (b) -4  (c) -3  (d) h
a
Let z = 2.3 + -2.1. What is the second biggest value in 2, -0.4, z?
z
Let i be 207/78 + (-20)/8. Let z be ((-2)/(-2) - 2)/1. Let x = z + 3. Which is the second smallest value?  (a) i  (b) -5  (c) x
a
Let s = -0.37 + 3.57. Let g = s - -0.8. What is the second biggest value in -3/4, g, 0?
0
Let u = 37.7 - 38. Which is the second biggest


f + 622. Let q be g(-8). What is the greatest common divisor of q and 378?
42
Let s(f) = -f**3 + 59*f**2 + 614*f + 60. Let o be s(68). Calculate the greatest common divisor of o and 10.
2
Suppose -22*u + 24*u = -21*u + 460. What is the greatest common factor of u and 230?
10
Let v(p) = -11 - 488*p**3 + 7*p + 2*p + 485*p**3 - 15*p**2 - p + 1. Let r be v(-7). Calculate the highest common factor of r and 38.
38
Let b be 3 + 12/(-48) + 25/4. Let v(g) = 9*g - 66. Let i be v(b). Calculate the highest common factor of i and 50.
5
Suppose 0 = 5*w + t - 2772 - 1606, -2*w = 4*t - 1762. Calculate the highest common divisor of w and 630.
35
Let v = 2444 + -2417. What is the greatest common divisor of v and 792?
9
Let h(d) = d**2 - 6*d + 6. Let p be h(4). Let b be 6 - (0 - p)*-1. Let o = 422 + -420. What is the greatest common factor of o and b?
2
Let w be 1/2 - 286/(-4). Let k(n) = -n**3 - 5*n**2 + 32*n - 23. Let c be k(-11). Let h = c - 335. Calculate the highest common divisor of w and h.
8
Let v(a) = -2*a - 4*a - 284 + 4*a + 297. Let x = 7 - 2. Let u be v(x). What is the highest common divisor of 3 and u?
3
Let p(l) = -19*l**3 + 51*l**2 + 22*l + 66. Let g be p(-5). What is the highest common factor of 18 and g?
6
Let z be 15 - (360/18 - 179). Calculate the highest common factor of 5568 and z.
174
Let x(y) = -y - 19. Let q be x(-16). Let k be (-109 - 5)/(138/(-44) - q). What is the highest common factor of k and 44?
44
Suppose 0 = 27*n - 24*n - 567. Let a = 413 - n. What is the highest common divisor of a and 84?
28
Let j(f) = -f**3 + 5*f**2 - 5*f - 1. Let o be j(3). Suppose -2*k + o = -4*s + 264, -s + 2*k + 70 = 0. What is the highest common factor of s and 464?
16
Let n(t) = -2*t**3 + 16*t**2 - 48. Let i be n(6). What is the greatest common divisor of 296 and i?
8
Suppose 0 = -165*m + 142*m + 230. Calculate the greatest common divisor of m and 890.
10
Let c(b) = -7*b**3 + b**2 + 20*b + 44. Let q be c(-3). Let k be (44 - 9)*(-4)/(-10). Calculate the highest common factor of k and q.
14
Let o be 4 + 826 - 45/(-105)*7. What is the highest common factor of o and 68?
17
Suppose -4210 = -4*p - t, -5*p = -3*t + 6*t - 5259. What is the greatest common factor of p and 39?
39
Let z = -1424 - -1481. What is the highest common divisor of 3 and z?
3
Suppose 5*c = 3*f + 8, f + 4*f - 8 = 3*c. Suppose 8*u + 468 = 34*u. What is the highest common divisor of u and c?
2
Let p = -624 + 659. Let c = 135 - p. Calculate the highest common factor of 180 and c.
20
Let o be 8 - 8/(-12)*9. Let v(f) = -10*f - 18. Suppose 78*g - 52 = 82*g. Let z be v(g). Calculate the greatest common factor of o and z.
14
Suppose -4*i - 3*o + 3023 = 0, -2451 = -4*i - 5*o + 590. Calculate the highest common divisor of i and 3317.
107
Suppose 0 = -f + 2*h + 287, -17*h + 21*h - 317 = -f. Suppose -43 - 12 = -5*q. What is the highest common factor of q and f?
11
Suppose -19*o - 14*o + 132 = 0. Let z be 943/o + 4/(192/(-36)). Calculate the greatest common factor of z and 5.
5
Let s be (2/6)/((-26)/(-546)). Let m(a) = 9*a**2 + 2*a + 2. Let j be m(-3). What is the highest common factor of j and s?
7
Let d = 110 - 102. Suppose -4*j + 35 = -77. What is the greatest common factor of d and j?
4
Let s be (3 + -1098)*3/(-9). Suppose 3*x - u = 662, -15*u + 10*u - 901 = -4*x. What is the highest common factor of x and s?
73
Let m = 3 + 127. Let w = 246 + -224. Suppose -2*p = -3*h + 25 + 7, 0 = -2*h + 2*p + w. Calculate the highest common divisor of h and m.
10
Let g(a) = 163*a + 1224. Let d be g(12). What is the greatest common divisor of 212 and d?
212
Let z(s) = -s**3 + 3 - 27*s**2 - 3*s + 10*s**2 + 26*s**2. Let j be z(5). What is the greatest common divisor of j and 66?
22
Let v = 2587 + -2269. What is the greatest common divisor of 4346 and v?
106
Let n(c) = c**3 - 5*c**2 - 3. Let j be n(4). Let s = 6 - j. Let l be (-561)/(-21) + (-1320)/231 + 4. Calculate the highest common divisor of s and l.
25
Let q = 96 - 66. Let d(g) = g**2 - 18*g - 85. Let f be d(-4). Calculate the highest common divisor of q and f.
3
Let q be 2/3*(-5 + 11)/(-7 + 9). What is the highest common factor of 212 and q?
2
Let n(g) = -25*g**2 - 7*g - 23. Let i be n(-4). Let k = 421 + i. Calculate the highest common factor of k and 598.
26
Let n(b) = -b**2 + 15*b. Let m = 38 + -29. Let v be n(m). Let q = 57 - v. Calculate the highest common factor of q and 33.
3
Suppose p = -4*l + 63 + 124, 0 = 2*l - 5*p - 77. Suppose -7895*a + 15815*a = 7897*a + 3703. Calculate the greatest common factor of l and a.
23
Let y(t) = 4*t**2 + t - 2*t**2 + 0*t**2 - 11 - t**2. Let u be y(-8). Let w = 26 - 8. Calculate the greatest common factor of u and w.
9
Let n(m) = 54*m + 2. Let o be n(-2). Let w = o + -122. Let j be 488/9 + w/54 + 4. Calculate the greatest common factor of j and 135.
27
Let s(h) = -4 - 11*h + 0*h + 7*h + 26. Let g be s(4). Suppose 0 = 9*b - g*b - 144. Calculate the highest common divisor of 16 and b.
16
Let c(p) = -3*p - 3. Let a be c(-2). Suppose -42*s + 52*s - 600 = 0. Let n be 4*6*5/s. Calculate the highest common divisor of n and a.
1
Let w(u) = 2*u**3 - 5*u**2 - 7*u - 1. Let k be w(5). Let p be (1*82/(-8))/(3/(-24)). Let m = k - p. Calculate the highest common factor of m and 7.
7
Let x = 1992 - 1299. Let d be 0 + 706 - (-7 + 8). Suppose -2*k - 3*n - 243 = -d, 3*k - x = -n. Calculate the highest common factor of 21 and k.
21
Let g(v) = 0*v - 4 + 3*v**2 + v**3 + 4*v**2 + 0*v**3 - 4*v. Let p be g(-5). Let z = -10 + p. Calculate the highest common divisor of 7 and z.
7
Let y = 1534 - -888. Calculate the greatest common factor of y and 519.
173
Let c = -143 + 52. Let k = c - -93. Let s be (-4)/8*-6 - 1. What is the highest common divisor of s and k?
2
Let k be (-3)/2*(-123 - -5). Let n = k - 125. Calculate the highest common factor of 65 and n.
13
Suppose 3*c = -69 + 15. Let m be c/42 - (-1269)/21. What is the highest common divisor of m and 210?
30
Suppose 7*n = 2*n. Suppose 26*v + 36 = 27*v. Suppose a - 36 - v = n. Calculate the greatest common divisor of 108 and a.
36
Let z = 165 + 275. Let y be ((-60)/(-9))/((-28)/(-231)). What is the greatest common factor of y and z?
55
Suppose -13*d + 2*o + 151902 = 0, -o + 58415 = 4*d + d. Calculate the highest common factor of d and 92.
92
Let j be (2/(-1) - -8)/(4/18). Let p = j - 36. Let q be (1 - p)*3/(-9)*-3. Calculate the highest common factor of q and 110.
10
Let f be 0 + (-36)/78 + 6068403/429. What is the highest common factor of 82 and f?
41
Let q(n) = -2*n**3 - 4*n**2 + 4*n - 5. Let t be q(-4). Let s = t + -38. Calculate the highest common factor of s and 55.
5
Let b(h) = -h**3 + 9*h**2 + 3*h + 11. Let o be b(5). Suppose 6*k - 8*k + o = 0. Let v be (0/4)/(-4) + 42. Calculate the highest common factor of v and k.
21
Let z be 10 - -179 - 33/3. What is the greatest common factor of z and 1157?
89
Let k be -1*((-72)/6 - -1). Let u be (-30)/(-9)*117/6. Suppose 0 = -k*m - u + 263. Calculate the greatest common factor of 18 and m.
18
Let i be (-8826)/(-30) + (-2)/10 - 0. Suppose -3*y - 2*g + 586 = -i, 4*g - 8 = 0. What is the highest common divisor of 73 and y?
73
Suppose 0 = -15*n + 19*n - 3*o + 40, 20 = -2*n - 4*o. Let h be (134 - n)/((-9)/(-24)). Calculate the highest common factor of h and 24.
24
Suppose 84 = -4*c + 4*k, -4*c + 0*k = -5*k + 87. Let l be 9/c*-1*32. Let b be 0 - 1004/(-16) - (-4)/l. What is the highest common factor of b and 9?
9
Suppose -380 = -22167*k + 22148*k. What is the highest common factor of 2850 and k?
10
Let n = 812 + -164. Calculate the greatest common divisor of n and 504.
72
Let v be 49 + -39 - 72*-5. Calculate the greatest common factor of v and 10.
10
Suppose 5*r = -3*w, 0 = -5*r + 3*w + 28 + 2. Let i = -853683 - -853687. Calculate the greatest common divisor of r and i.
1
Let f be 3 + -1 + 0/1 + 0. Suppose 3*h - 5 = -2*j, -f*j + 4*h + 7 = -5. Suppose 0 = -y + 19 - j. What is the greatest common factor of 75 and y?
15
Let x = 9038 + -5541. Calculate the greatest common divisor of x and 117.
13
Suppose -2831 = 2322*i - 2263*i - 35753. What is the highest common divisor of i and 24831?
279
Suppose -6*q + 27018 = -2*q - 3*l, 4*q - l - 27006 = 0. What is the highest common divisor of 162 and q?
54
Suppose 0 = 11*t + 533 - 665. Calculate the highest common divis


8
(-30)/56*34*80/2040
-5/7
What is the value of (-6*(-9)/((-216)/16))/114?
-2/57
Calculate (3/135)/(4/12).
1/15
Evaluate (-2*(-2)/(-8))/((-96)/192).
1
What is the value of -18*2/(-9)*108*(-30)/480?
-27
((-23)/1*5/15)/((-28)/84)
23
Calculate ((-21)/84*3)/((-6)/104).
13
Evaluate (-50)/15*(65/(-4875))/(2/18).
2/5
Evaluate (-51)/(-153)*(-84)/(-532).
1/19
What is the value of (728/462)/26*3?
2/11
Calculate 105/210*8/(-6)*105/5.
-14
What is ((-23)/(4209/(-244)))/(82/(-12)*4)?
-2/41
Calculate ((-546)/104*4/14)/((-3)/(-1)).
-1/2
What is the value of (14/(-3))/((-52)/65*(-10)/6)?
-7/2
Calculate -4*(2145/104)/11*4/6.
-5
What is the value of (2/10)/((-169)/65)?
-1/13
Calculate (116/232)/(84/(-8)).
-1/21
Calculate 10/8*-6*(-2)/(-30).
-1/2
Calculate 12*20/(-432)*3*-5.
25/3
What is (-16)/((-48)/(-5))*(180/130)/(-6)?
5/13
Calculate ((-784)/(-120))/((-140)/(-100)).
14/3
Calculate 62/(-4)*(-15)/((-660)/88).
-31
What is the value of (-10*2/(-1230))/((28/(-21))/(-4))?
2/41
(99/12)/(-9*(-3)/72)
22
Evaluate 8/384*18*15/90.
1/16
304/456*(-99)/6
-11
What is 12/30*130*2/8?
13
Calculate (((-9)/(-6)*1)/(-9))/((-14)/12).
1/7
Evaluate ((-4)/(-3))/((-950)/285)*-5.
2
What is the value of 2*((-2415)/(-230))/((-9)/(-15))?
35
What is the value of ((-23)/((-17940)/(-30)))/(-2*(-2)/(-16))?
2/13
Evaluate (108/9)/((-92)/138).
-18
What is the value of ((24/(-88))/((-4)/22))/(162/(-24))?
-2/9
What is 24/10*10/4?
6
What is (((-4)/6)/((-32)/108))/(10/120)?
27
What is (270/450)/((-93)/10)?
-2/31
What is the value of ((-45)/45)/(-7*(-2)/12*3)?
-2/7
What is 26*(-3)/(-468)*3/(-8)?
-1/16
Calculate (1/(21/24))/((-3)/(-42)*1).
16
What is ((-208)/1092)/((-20)/(-15))?
-1/7
What is the value of (((-21)/14)/(-3))/(15/(-6))?
-1/5
Evaluate (48/9)/((-74)/111).
-8
Evaluate 9/(-24)*7/(567/12)*-21.
7/6
((-161)/92*4/(-1))/(66/(-198))
-21
What is the value of (51/34)/((9/(-48))/(-1))?
8
Calculate (40/100)/((2/14)/((-5)/(-1))).
14
What is the value of (408/340)/(117/(-455))?
-14/3
What is the value of (-2)/(-4)*0/4?
0
Calculate 1*3/4*536/(-3417).
-2/17
(7*(-3)/(-42))/(77/(-11)*2)
-1/28
What is ((-14)/(-14))/((7/(-245)*-7)/(-1))?
-5
What is the value of (-230)/345*(-9)/(-39)?
-2/13
What is 4*-1*(-124)/(-62)?
-8
Calculate (-3)/((2/(-14))/((-29)/(1827/(-36)))).
12
What is the value of (-29)/((-2)/(12/(-9))*(-778)/(-1167))?
-29
What is 2*(-2)/12*540/20?
-9
What is the value of 30/(-20)*-2*30/9?
10
(-482)/482*(36/24)/(1/14)
-21
Evaluate ((7050/45)/47)/(30/27).
3
Calculate (168/490)/(1/(50/30)).
4/7
Evaluate ((-14)/49)/(1*12/((-24)/6)).
2/21
Evaluate ((-344)/1032)/((-1*2)/(-4)).
-2/3
Calculate ((-324)/(-3))/(-4)*(36/(-6))/18.
9
Calculate 4/3*((-18)/45)/(8/5).
-1/3
What is the value of (-51)/(18360/672)*3/(-9)*5?
28/9
What is (((-855)/(-45))/(-171))/(1*(-1)/3)?
1/3
What is (540/(-50))/(-9)*(-255)/(-136)?
9/4
((-3630)/(-440))/((-1)/(-3)*(-57)/76)
-33
What is 3*(-6)/243*(-20)/20?
2/27
What is (-4)/(-64)*12*1168/2190?
2/5
Evaluate (-5)/(1/(((-5)/(-5))/(-7))).
5/7
(-230)/(-92)*-4*1
-10
What is the value of 15/(-25)*(-666)/1665*50/28?
3/7
Calculate (-20)/70*7*12/8.
-3
Calculate ((-261)/696)/(-4*(-165)/80).
-1/22
What is the value of -3*((-15)/(-15))/3?
-1
Calculate (-246)/(-369)*9/24.
1/4
What is the value of (-10)/(-70)*-2*-1?
2/7
What is ((72/9)/(-32))/(360/800)?
-5/9
((1120/(-30))/(-14))/2
4/3
Calculate 11/(44/10)*28/(-14).
-5
Calculate ((-2)/(-11))/(750/(-13500)).
-36/11
(-12)/(-7584)*(-688)/(-43)
2/79
Calculate (-57)/(-6)*(-1334)/667.
-19
What is (-1)/((64/288)/((-8)/(-3)))?
-12
Calculate (-6)/(-9)*15*(-11)/(-440).
1/4
Evaluate ((27/30)/((-6)/8))/(2/15).
-9
Evaluate 26/(2028/(-13))*4.
-2/3
Calculate (-435)/(-261)*-4*1*(-18)/(-15).
-8
What is 15/(-3)*24/(-25)*(-35)/(-28)?
6
What is ((-11)/55)/(3/(45/(-12)))?
1/4
What is ((-96)/128)/1*(-124)/6*-2?
-31
What is ((-26)/(-8))/((-210)/840)?
-13
What is the value of (693/(-154))/(4/8)?
-9
Evaluate (-42)/12*((-2736)/(-42))/(-12).
19
Calculate ((-2)/(-2))/4*34*(-2242)/(-1003).
19
What is the value of 150/2250*10/6?
1/9
What is the value of ((-5)/2)/(4/8*20/(-60))?
15
(5/(100/39))/((-54)/72)*-5
13
((-12)/2)/((-3)/(-1)*(-50)/(-50))
-2
((-72)/192*-8)/((-126)/(-4))
2/21
What is the value of ((-10)/(-5))/16*-2*12?
-3
Evaluate (32/8)/((-2)/(8/((-6)/(-3)))).
-8
Calculate (-3)/(((-25)/(-40))/((-1050)/360)).
14
Evaluate (80/(-192))/((-250)/180).
3/10
Calculate 15/9*417/(-695).
-1
What is the value of (2/(-45)*-3)/((-5229)/(-1245))?
2/63
Calculate 1*(-10)/8*(-536)/670.
1
Evaluate (11/((-33)/(-2)))/(-5*(-128)/(-1200)).
-5/4
What is (-45)/6*(-5)/(-75)*-12?
6
What is the value of (315/210)/(6/28)?
7
((36/(-33))/(14*(-3)/(-231)))/1
-6
4/14*20*69/920
3/7
What is the value of (2*-1*-15)/(-103*(-374)/(-19261))?
-15
Evaluate ((-32)/((-64)/5))/((1*-4)/(-48)).
30
Calculate (8*9*8/64)/(-7).
-9/7
What is the value of -8*2*9*(-4)/(-72)?
-8
What is -63*(-38)/855*5?
14
(5*(-6)/230)/(((-63)/6)/(-7))
-2/23
Calculate (-16)/4*(1/(-5))/((-56)/(-20)).
2/7
What is (6*2/(-5)*35/28)/2?
-3/2
What is 6/(-16)*1140/95?
-9/2
What is the value of (-1)/3*8*(25/(-8))/(-25)?
-1/3
What is the value of -2*(-4)/48*-3?
-1/2
Evaluate (-16)/(-1056)*-18*5/10*2.
-3/11
Calculate ((-4)/((-240)/6))/(3*6/(-45)).
-1/4
What is ((-2)/24)/((-16)/3584*-4)?
-14/3
What is 80/4*(-4)/(-9)*(-29)/(-290)?
8/9
Evaluate (-19)/((-665)/14)*23/((-92)/80).
-8
Evaluate (2/10)/(3846/(-6410)).
-1/3
2/4*20/(-520)*24/(-9)
2/39
Calculate 1*13*((-116)/580)/((-1)/5).
13
What is the value of ((-2)/2)/(26/(-312)*12)?
1
What is the value of 4/10*(54/36)/((-5)/(-50))?
6
What is 27/360*18/(234/65)?
3/8
What is (-2)/21*348/232*-14?
2
(112/20)/(((-176)/55)/8)
-14
What is the value of ((-52)/(-20)*4/(-2))/(8/20)?
-13
(1/(-4))/((-396)/(-144))*2
-2/11
What is 18*2/(-324)*7/((-182)/12)?
2/39
6*(2/125)/(1260/1050)
2/25
((-120)/18)/((-86)/(-129))
-10
(8/(-5))/((-2758)/(-6895))
-4
Calculate ((-78)/(-195))/(4/(-3)).
-3/10
What is the value of 14/((-1638)/45)*4/20*2?
-2/13
(6/45*-1)/(14*(-13)/(-78))
-2/35
Evaluate ((-8)/190)/((795/15)/(-265)).
4/19
What is ((-250)/(-30))/25*2?
2/3
Calculate (5/(30/(-9)))/(3231/68928).
-32
Evaluate ((-4)/(-10))/((-15498)/(-21525)*(-10)/4).
-2/9
Evaluate (6/(12/(-2)))/((-22)/(-440)).
-20
What is 1/(6/(-660)*10)?
-11
Calculate ((-40)/(-16))/((-2)/((-156)/15)).
13
What is ((-6900)/225)/(-46)*(-2)/(4/78)?
-26
What is ((-23)/((-230)/75))/9?
5/6
Evaluate (1/5)/((-2)/(-50)*-5).
-1
(7/21)/((-35)/(-63))
3/5
Calculate ((-4906)/223)/(2/1).
-11
(17/(-102)*20)/(5/(-2))
4/3
(-3*(-1)/((-18)/4))/(17834/1446)
-2/37
Calculate 4/((-1344)/(-28))*(-8)/(-5).
2/15
Calculate ((((-45)/(-12))/3)/(-1))/((-496)/9920).
25
((-8)/18)/(50/450)
-4
What is (-6)/(-4)*-12*8/(-36)?
4
Calculate 360/(-780)*((-1)/(-6))/((-1)/2).
2/13
Evaluate (24/(-72)*30/(-25))/(1/(-10)).
-4
What is (66/(-55))/(((-2)/(-3))/(7/21))?
-3/5
Evaluate -3*22/(-11)*(-1)/1*1.
-6
Evaluate 8995/1028*((-1)/(-10))/(3/(-4)).
-7/6
(-708)/(-295)*10/(-8)
-3
What is (8/(-32))/((-1)/(-15)*15/6)?
-3/2
Calculate ((((-24)/(-3))/8)/(-5)*-15)/6.
1/2
((-18)/8)/(81/27)
-3/4
What is the value of (-12)/(11997/(-2666)*((-1)/(-6))/1)?
16
What is ((-6)/4)/(18*(-68)/192)?
4/17
-2*7*((-6600)/(-175))/(-33)
16
Calculate ((-6)/(-6))/((-26)/(-4)).
2/13
((2700/(-24))/(-25))/(1*(-2)/4)
-9
Calculate ((-2)/4)/((-79)/(-158)).
-1
What is 276/24*240/(-92)?
-30
What is ((-2)/(-110))/(735/36750)?
10/11
What is the value of (90/20)/(5/30)?
27
Evaluate (-9)/(-126)*(-140)/8.
-5/4
Calculate (8/(-6))/(163/489).
-4
(1/((-14)/120))/(((-12462)/469)/93)
30
Calculate (-2)/(-2)*2*((-51)/(-6))/(-17).
-1
Calculate (198/2640)/((-12)/224).
-7/5
What is ((-9)/(-6))/((-12)/1120*10)?
-14
What is 5*91/130*-10*(-4)/(-14)?
-10
Calculate 12/(-3)*(-4)/96*15/2.
5/4
(2090/154)/19*7
5
What is ((-308)/3080)/((-4)/10)?
1/4
(-18)/((148/1184)/((-2)/(-168)))
-12/7
350/(70/14)*(-18)/63
-20
What is (-81)/18*90/(-45)?
9
What is (((-27)/4)/(-27))/(1/(-8)*-5)?
2/5
(-27)/((-72)/8)*(-5)/3
-5
(-2)/20*352/528
-1/15
What is 3*(-1)/(-1)*5/(5/(-3))?
-9
What is ((-28)/(23296/160))/(5/12)?
-6/13
(306/(-270))/(-17)*10/(-4)
-1/6
What is ((-190)/(-10))/19*7?
7
What is the value of 21/81*(-2076)/346?
-14/9
What is the value of 7/(7/4)*14/112*34?
17
Evaluate (-11544)/222*2/16*-2.
13
What is ((-9)/(-3))/((-50)/(-150))?
9
What is ((-7)/17)/((-869)/14773)?
7
(((-9)/7)/3)/(8/(-168


and 1 h when two letters picked without replacement from eehk.
1/3
What is prob of picking 2 d and 1 c when three letters picked without replacement from dcddcdckdcddd?
56/143
Three letters picked without replacement from gaaaaagaaga. Give prob of picking 1 g and 2 a.
28/55
Four letters picked without replacement from {v: 2, f: 2, m: 10}. Give prob of picking 2 v and 2 m.
45/1001
Two letters picked without replacement from kxmykskk. What is prob of picking 1 y and 1 s?
1/28
Calculate prob of picking 4 p when four letters picked without replacement from mpmpppp.
1/7
What is prob of picking 4 q when four letters picked without replacement from qqfqqfffffqff?
1/143
Four letters picked without replacement from ccxcxocxyxcxyxcoycc. What is prob of picking 1 o, 1 c, and 2 y?
4/323
Two letters picked without replacement from nncnc. Give prob of picking 2 n.
3/10
What is prob of picking 1 q and 1 w when two letters picked without replacement from lmmmlmmlqlmmqmmwmwml?
2/95
Four letters picked without replacement from {i: 2, h: 2, s: 5, x: 2, o: 2}. What is prob of picking 1 o, 2 x, and 1 i?
4/715
Two letters picked without replacement from zihhzjiwwwhwyyy. What is prob of picking 1 z and 1 w?
8/105
Calculate prob of picking 2 r when two letters picked without replacement from {u: 4, h: 1, e: 5, a: 2, r: 2}.
1/91
Calculate prob of picking 1 u and 1 i when two letters picked without replacement from uuhhiguou.
1/9
Calculate prob of picking 2 w when two letters picked without replacement from {o: 1, f: 1, i: 5, w: 2, e: 11}.
1/190
Two letters picked without replacement from tpttpppppp. Give prob of picking 1 p and 1 t.
7/15
Calculate prob of picking 2 c when two letters picked without replacement from {f: 3, c: 2}.
1/10
What is prob of picking 1 t and 1 v when two letters picked without replacement from {a: 9, v: 2, y: 2, t: 3, m: 1}?
3/68
Four letters picked without replacement from qmebbqbbbbbeqqbbbqb. Give prob of picking 4 q.
5/3876
Four letters picked without replacement from {s: 2, q: 2, j: 3, v: 3, y: 5}. What is prob of picking 1 q, 2 y, and 1 j?
4/91
Four letters picked without replacement from pmpwmpbpbmywwwwwbbwm. Give prob of picking 2 m and 2 w.
42/1615
What is prob of picking 2 p and 2 l when four letters picked without replacement from {l: 4, z: 3, p: 4}?
6/55
Three letters picked without replacement from bbcbybcpbycbc. Give prob of picking 1 b, 1 c, and 1 p.
12/143
Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {x: 5, a: 2, u: 8, w: 1, g: 2, d: 2}.
1/19
Calculate prob of picking 1 z, 1 y, 1 d, and 1 q when four letters picked without replacement from {q: 2, z: 6, d: 3, y: 2, s: 5}.
2/85
What is prob of picking 1 d and 2 o when three letters picked without replacement from {d: 2, o: 4}?
3/5
Two letters picked without replacement from zuujtuo. Give prob of picking 1 o and 1 u.
1/7
Four letters picked without replacement from {g: 7, y: 3}. Give prob of picking 1 y and 3 g.
1/2
Two letters picked without replacement from iiiidiiiiiiiddiiii. Give prob of picking 2 i.
35/51
Two letters picked without replacement from {d: 1, v: 2, c: 3, n: 2, w: 4}. Give prob of picking 1 d and 1 w.
2/33
Calculate prob of picking 2 f and 1 b when three letters picked without replacement from ffbffffbf.
1/2
Four letters picked without replacement from {j: 4, w: 3}. Give prob of picking 3 w and 1 j.
4/35
Two letters picked without replacement from ooybobtyo. Give prob of picking 1 y and 1 b.
1/9
Three letters picked without replacement from mmomnmnn. What is prob of picking 1 m, 1 n, and 1 o?
3/14
Three letters picked without replacement from {c: 2, d: 7, l: 1, e: 1, u: 6, m: 2}. What is prob of picking 1 c, 1 l, and 1 e?
2/969
What is prob of picking 1 b and 1 c when two letters picked without replacement from {m: 1, b: 2, c: 1, h: 3}?
2/21
Calculate prob of picking 2 u, 1 p, and 1 g when four letters picked without replacement from {g: 2, e: 1, p: 7, u: 10}.
42/323
Four letters picked without replacement from {s: 2, r: 4, o: 1, x: 2, q: 4, c: 2}. Give prob of picking 1 r, 2 c, and 1 q.
16/1365
Two letters picked without replacement from {r: 3, n: 1, h: 3, j: 1, u: 2}. What is prob of picking 1 h and 1 j?
1/15
Two letters picked without replacement from {n: 2, k: 3, w: 12}. What is prob of picking 2 w?
33/68
Two letters picked without replacement from {z: 7, c: 5}. Give prob of picking 2 c.
5/33
Calculate prob of picking 2 a and 1 r when three letters picked without replacement from {a: 2, o: 1, r: 1}.
1/4
What is prob of picking 1 r, 2 s, and 1 c when four letters picked without replacement from {c: 6, s: 3, r: 2, b: 2}?
36/715
Three letters picked without replacement from yleyyllyytey. What is prob of picking 2 e and 1 l?
3/220
Three letters picked without replacement from jfjjjjjjjjjjfjjjjj. What is prob of picking 3 j?
35/51
Three letters picked without replacement from ctnzhhh. What is prob of picking 1 z, 1 t, and 1 n?
1/35
Two letters picked without replacement from rzxhxvy. Give prob of picking 1 r and 1 h.
1/21
Two letters picked without replacement from raqsksm. What is prob of picking 1 m and 1 a?
1/21
Calculate prob of picking 1 w, 2 e, and 1 u when four letters picked without replacement from euwuuewuewwuwuuwuuw.
63/1292
Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {u: 10, t: 4, q: 2}.
1/6
Calculate prob of picking 3 i and 1 k when four letters picked without replacement from {k: 3, i: 4}.
12/35
Calculate prob of picking 3 l when three letters picked without replacement from llllxllllllllllllxl.
40/57
Calculate prob of picking 3 l when three letters picked without replacement from lllllltltlllllt.
44/91
Four letters picked without replacement from zdzddttzdzzttzdddz. Give prob of picking 1 t, 2 z, and 1 d.
49/255
Four letters picked without replacement from hjjjfhhf. What is prob of picking 1 j, 2 f, and 1 h?
9/70
What is prob of picking 1 t and 1 n when two letters picked without replacement from {n: 1, s: 1, r: 10, l: 3, t: 4}?
4/171
Four letters picked without replacement from {y: 3, d: 2, c: 1, n: 6, u: 3}. Give prob of picking 1 c, 2 d, and 1 y.
1/455
Two letters picked without replacement from {q: 1, h: 2, l: 1, k: 1, u: 1, r: 1}. Give prob of picking 1 u and 1 r.
1/21
Calculate prob of picking 1 y and 1 g when two letters picked without replacement from mmmhgxxghgmghygh.
1/24
Four letters picked without replacement from {z: 14, k: 5}. Give prob of picking 4 z.
1001/3876
Two letters picked without replacement from {d: 6, i: 7, n: 4}. Give prob of picking 2 i.
21/136
What is prob of picking 1 q and 1 k when two letters picked without replacement from {q: 8, w: 4, k: 2, j: 1, e: 1}?
2/15
Three letters picked without replacement from uujjujfjvuf. What is prob of picking 1 v and 2 f?
1/165
Two letters picked without replacement from {i: 2, n: 6, f: 4}. Give prob of picking 2 f.
1/11
What is prob of picking 1 t and 1 n when two letters picked without replacement from {t: 1, n: 3, c: 1, l: 7}?
1/22
What is prob of picking 2 v, 1 x, and 1 g when four letters picked without replacement from gvvdoox?
1/35
What is prob of picking 2 y and 1 j when three letters picked without replacement from {g: 4, y: 5, j: 2}?
4/33
Three letters picked without replacement from {b: 1, f: 7}. Give prob of picking 2 f and 1 b.
3/8
Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {f: 1, i: 3, r: 5, w: 1, u: 3, b: 2}.
1/35
Two letters picked without replacement from {u: 2, g: 1, d: 4, m: 1, n: 3}. What is prob of picking 1 n and 1 g?
3/55
Two letters picked without replacement from {r: 7, t: 4, u: 4}. Give prob of picking 1 t and 1 u.
16/105
Two letters picked without replacement from {b: 4, t: 1, k: 2, d: 2}. Give prob of picking 1 t and 1 k.
1/18
Two letters picked without replacement from ccgllap. What is prob of picking 1 g and 1 c?
2/21
Two letters picked without replacement from {y: 1, e: 2, v: 3, h: 6}. What is prob of picking 1 v and 1 e?
1/11
What is prob of picking 2 x when two letters picked without replacement from {l: 2, x: 4, s: 8}?
6/91
Calculate prob of picking 1 o, 1 j, and 2 i when four letters picked without replacement from jjiqqiio


 divided by 11 + k/((-9)/12)?
3
Suppose 2*t - 3*r = -t + 111, 0 = -3*t + r + 107. Let s = -1 - -4. Suppose -37 = -s*q - 10. What is the remainder when t is divided by q?
8
Let b = -13 + 23. Let d be 928/(-20) + (-6)/b. Let p = d + 133. Calculate the remainder when p is divided by 22.
20
Let l(f) = -2*f + 4. Let r(x) = x + 1. Let j be r(-7). Let p(b) = -3*b**3 - 17*b**2 + 8*b + 21. Calculate the remainder when l(j) is divided by p(-6).
7
Let t(u) = u**2 + 10*u - 43. Calculate the remainder when 60 is divided by t(-14).
8
Let h = 100 + -83. Let k = -39 + 70. What is the remainder when k is divided by h?
14
Let x(d) = d**3 + 9*d**2 - 12*d. Let n be x(6). Suppose -152 = 4*j - n. What is the remainder when j is divided by 21?
16
Suppose -5*c = 4*q - 27, -3*c - 37*q + 40*q = -27. Suppose -3*w + 37 = -r, 5*w + 5*r - 49 = 2*w. What is the remainder when w is divided by c?
6
Let g(b) = 2*b**2 - 18*b + 85. What is the remainder when 740 is divided by g(7)?
56
What is the remainder when 6/2*66 + (138 - 146) is divided by 83?
24
Let g(l) = l**3 - 9*l**2 - 11*l + 12. Let p be g(10). Let a(b) = -12*b**2 + 0*b**p - 8*b + b**3 + 3*b**2 + 5. What is the remainder when a(10) is divided by 7?
4
Let l = 5 - 1. Suppose -y - 64 = -3*s, 2*s - 42 = -3*y - 14. Calculate the remainder when 4/16 + 307/l is divided by s.
17
Let d = -1644 + 1734. Calculate the remainder when d is divided by 44.
2
Let x(z) = -62*z - 42. Calculate the remainder when x(-2) is divided by 17.
14
Let u(l) = 1 + 0*l + 2*l + l - 4. Calculate the remainder when u(8) is divided by 4.
1
Let h(k) = 4*k**2 - 10*k - 35. Let g(s) = 3*s**2 - 10*s - 34. Let u(l) = 3*g(l) - 2*h(l). Calculate the remainder when u(13) is divided by (6/9)/((-6)/(-27)).
1
Suppose -4*b + 40 = -g, 6*b - b + g = 59. Calculate the remainder when 83 is divided by b.
6
Let n = 161 + -159. Let a = 10 - 7. Suppose p + 5*u + 12 = n*p, 0 = -2*p - a*u + 11. What is the remainder when 27 is divided by p?
6
Suppose 5*t - 330 = f, -5*t + 64 = f - 256. Let l(a) = 2*a**2 + 2*a - 1. What is the remainder when t is divided by l(3)?
19
Suppose 8*v - 591 = -183. Suppose -l + v = -23. Calculate the remainder when l is divided by 25.
24
Let t = -27 + 63. Let d = t + -25. Calculate the remainder when 63 is divided by d.
8
Let u(k) = -k**3 + 3*k**2 + 7*k - 5. Let o be u(4). Suppose -o*d + 90 = -5*d. What is the remainder when d is divided by 16?
13
Let t(j) = -j**3 - 8*j**2 + j + 10. Let l(d) = -d - 4. Let p be l(4). Let k be t(p). Suppose -40 = -k*c + 46. Calculate the remainder when c is divided by 22.
21
Let m(c) = -c**3 + 6*c**2 + 8*c - 10. Let j be m(7). Let g(d) = -2*d**3 - 2*d**2 + 4*d. What is the remainder when g(j) is divided by 5?
4
Let u(o) = 3 - 2 - o + 11. Let k be 18/8*160/(-60). What is the remainder when 71 is divided by u(k)?
17
Suppose -4*z = 5*x - 13, -13*x - 43 = -4*z - 8*x. Calculate the remainder when z is divided by 2.
1
Suppose 22 + 9 = -d - 3*s, 5*d - 2*s = -104. Let y = 12 - d. Suppose -7 = x + 5*t - 25, 0 = 2*t. What is the remainder when y is divided by x?
16
Let j = 32 - 41. Let k = j - -13. Calculate the remainder when 83 is divided by 0/(k - 7) - -28.
27
Let w = -141 - -210. What is the remainder when w is divided by ((-2)/10)/(5/475*-1)?
12
Let k = 553 + -529. What is the remainder when k is divided by 9?
6
Let d = 35 - 22. Suppose 2*o = 17*o - 630. Calculate the remainder when 1044/21 + 12/o is divided by d.
11
What is the remainder when ((-1085)/(-350))/(1/10) is divided by 26?
5
Let l(c) = -c**2 + 2*c + 4. Let r be l(0). Suppose 0*u + u = 6. Calculate the remainder when u is divided by 3 + (1 - r) - -3.
0
Let l be ((-2)/(-3))/((-22)/(-825)). Suppose -m - l = -3*r - 2*r, 20 = 4*r - 5*m. Suppose -32 = -r*a + 3. Calculate the remainder when 18 is divided by a.
4
Let k = 42 - 3. Let m = k - 18. What is the remainder when 62 is divided by m?
20
Let x = -6 - -15. Let f(y) = -4*y**3 + 3*y**2 + 3*y - 4. Let w be f(-2). Suppose 0*l + w = l. What is the remainder when l is divided by x?
7
Suppose -2*m = -s + 30, 3*s - 31 = -4*m + 59. Let h be (6/(-4))/(12/16). Calculate the remainder when s is divided by (7/(-2) + h)*-2.
8
Let a = -48 + 67. Suppose -2*k + 5*k - 4*x = a, -3*x = 3*k - 54. Calculate the remainder when 2 + -2 + -2 - (-265)/5 is divided by k.
12
Suppose -3*m = t - 23 - 434, -3*m = 3*t - 453. Calculate the remainder when 1067 is divided by m.
149
Let h(m) = 7*m. Let l(n) = 2 - n**2 + 9*n - 6*n**2 + 6*n**2 + 0*n. Let c be l(9). What is the remainder when h(c) is divided by 5?
4
Let m = -8 + 8. Suppose 2*o - o = m, 2*o - 4 = -4*x. Let w(j) = 31*j**3 + j**2 - j. Calculate the remainder when w(x) is divided by 16.
15
Suppose 5*x - 56 = x. Let o = 96 + -53. Suppose -4*i + 3*l + 170 = -0*i, -i + l = -o. What is the remainder when i is divided by x?
13
Suppose -2*f + 8*r + 52 = 3*r, -r = 5*f - 103. What is the remainder when 36 is divided by f?
15
Let l be 1*(1 - -7) + 3. Suppose -l*r = -r - 500. Calculate the remainder when r is divided by 9.
5
Suppose 11 = -10*c + 11*c. Suppose c*k = 8*k + 30. What is the remainder when 49 is divided by k?
9
Let s be (21/14)/((-1)/6). Let z be (-330)/4 + 1/(-2). Let m = s - z. What is the remainder when m is divided by 38?
36
Calculate the remainder when 9 - (-45)/(-4 - 5) is divided by 1.
0
Let r be 5/(-2)*(-72)/20. Suppose r*i - 108 = 5*i. Calculate the remainder when i is divided by 7.
6
Let i(k) = -7*k + 258. Suppose -11 = -3*b + 31. Calculate the remainder when i(29) is divided by b.
13
Let s(m) = -m + 5. Let u be s(4). Let z = u + 3. Suppose -5*f + 7 - 2 = -r, 4*f - r = z. What is the remainder when 3 is divided by f?
0
Let f(n) = -2*n**3 + 2*n**2 - n + 1. Let c be f(2). Let w = c - -14. Let x = 1 + w. What is the remainder when 22 is divided by x?
4
Suppose 16 = -8*g + 10*g - 4*v, -v = -2. What is the remainder when 26 is divided by g?
2
Let a(r) = 9*r - 56. Let s(g) = -5*g + 28. Let z(n) = -4*a(n) - 7*s(n). What is the remainder when 55 is divided by z(14)?
13
Let f = -1011 + 1031. What is the remainder when 718 is divided by f?
18
Suppose -2*y + 3*x = -23, y + 2*x = 6*y - 30. Suppose 3*i = y*i - 13. Let h = i - 5. What is the remainder when 30 is divided by h?
6
Let m(g) = -4*g**3 - 2 + 3*g**3 - 4*g**2 + 2*g**3. Let b be m(4). Calculate the remainder when 0/b - 2 - -41 is divided by 10.
9
Let h = 72 + -30. Suppose 6*g - 4*g = 18. What is the remainder when h is divided by g?
6
Let x be 2/(-3)*2343/22. Let u = x - -141. Calculate the remainder when u is divided by 18.
16
Let o(w) = w**3 + 12*w**2 - 2*w - 7. Let f(l) = l**2 - 5*l + 6. What is the remainder when o(-12) is divided by f(5)?
5
Let p = 11 - 0. Let z = 16 + p. Suppose 0*v - 3*v + z = 0. Calculate the remainder when 24 is divided by v.
6
Suppose -955 = -3*p + 4*h, -43*p = -42*p - 5*h - 300. What is the remainder when p is divided by 82?
79
Let i(m) = 8*m + 241. Calculate the remainder when 101 is divided by i(-27).
1
Suppose -h = -5*k + 2 + 11, 0 = -2*h - 4*k + 44. Let f be 6/8*32/h. Suppose f*j + 77 = 4*j - b, 155 = 4*j - b. What is the remainder when j is divided by 14?
11
Let d be -4*(3/(-6) - -1). Let i be d - -5 - -9*1. Let r = 57 + i. Calculate the remainder when r is divided by 18.
15
Suppose -30*w - 384 = -36*w. What is the remainder when w is divided by 23?
18
Let i(m) = 6*m**2 + 47*m - 17. Calculate the remainder when 173 is divided by i(-9).
35
Suppose -4*q + j = 4*j - 340, -5*q + 2*j = -402. Let b = -46 + 67. What is the remainder when q is divided by b?
19
Let l = 106 + -102. Suppose 7*w = -l*m + 2*w + 101, 5*m - 151 = 2*w. Calculate the remainder when m is divided by 8.
5
Let n be 6*(4 - 26/6). Let z be 24/(-8)*n/(-6). Let p(l) = 8*l**2 + 3*l + 2. What is the remainder when 18 is divided by p(z)?
4
Let x = 1 - -12. Let j = -1 - 4. Let m = j + 9. What is the remainder when x is divided by m?
1
Let c = -3 + 9. Let f(r) = 13*r + 188. Calculate the remainder when f(-13) is divided by c.
1
Suppose 2*z - 26 = 10. Let a(p) = 20*p. Let g be a(3). Let h = g + -26. What is the remainder when h is divided by z?
16
Suppose f = -5*f + 5310. Suppose -o + f - 254 = 4*d, 5*d - 815 = 4*o. What is the remainder when d is divided by 20?
19
Suppose 4*n = -5*c - 4 + 13, -25 = -5*c. Calculate the remainder when (n/2 - -4)


7. Let l(k) be the third derivative of 0*k + 0 - 2*k**2 + 1/10*k**5 + i*k**7 - 1/30*k**6 - 1/6*k**4 + 1/6*k**3. Solve l(q) = 0 for q.
1
Let g(o) be the third derivative of -o**6/60 + 2*o**5/15 - o**4/4 - 13*o**2. Solve g(v) = 0 for v.
0, 1, 3
Let a be -3 + 0 + 1 + 4. Let 4/3*v + 14/3*v**4 + a*v**2 + 0 - 8*v**3 = 0. Calculate v.
-2/7, 0, 1
Suppose 3*x**2 - 4*x**3 + 3*x - 2*x**4 - x**2 + 462*x**5 - 461*x**5 = 0. Calculate x.
-1, 0, 1, 3
What is x in -2/5 + 1/5*x**2 + 1/5*x = 0?
-2, 1
Let w(b) = -8*b**2 + 7*b - 7. Let p(f) = 7*f**2 - 6*f + 6. Let q = 27 - 6. Suppose -4*k = -7*k - q. Let h(o) = k*p(o) - 6*w(o). Factor h(i).
-i**2
Let t(l) be the second derivative of -3*l - 1/8*l**2 + 1/12*l**3 - 1/48*l**4 + 0. Factor t(b).
-(b - 1)**2/4
Let d = 10 - 0. Let a = -7 + d. Determine b, given that 0 + 1/3*b**a + 1/3*b**2 + 0*b = 0.
-1, 0
Let t(h) = -13*h + 2. Let w be t(0). What is k in -9*k**3 - 51/7*k**4 - 6/7*k - 33/7*k**w - 15/7*k**5 + 0 = 0?
-1, -2/5, 0
Let p be (-34)/(-30) - 19/57. Determine s so that 2*s**2 - p*s + 4/5*s**3 - 2*s**4 + 0 = 0.
-1, 0, 2/5, 1
Let n(g) = g**2 + g - 1. Let p(z) = -7*z**2 - 10*z + 9. Let t(o) = 24*n(o) + 3*p(o). Factor t(l).
3*(l - 1)**2
Let q(y) be the third derivative of y**6/1080 - 5*y**3/6 - 8*y**2. Let d(t) be the first derivative of q(t). Factor d(l).
l**2/3
Let k(w) be the first derivative of -1/11*w**2 - 4/55*w**5 + 1/11*w**4 - 1/33*w**6 - 4/11*w - 6 + 8/33*w**3. Solve k(j) = 0.
-2, -1, 1
Let w = 297/5 + -59. Let n(o) = o**3 + 2*o**2 - 3*o - 4. Let j be n(-1). Solve 2/5*s**5 - 4/5*s**4 + j + 0*s + 0*s**2 + w*s**3 = 0 for s.
0, 1
Let p be 1 - (-6)/3 - (-4)/(-6). Suppose 4*b - 24 = -3*l + b, 0 = 3*l + 2*b - 21. Factor p*d**l + 0*d + 0*d**2 - 3*d**4 + 0 + 2/3*d**3.
d**3*(d - 1)*(7*d - 2)/3
Factor t - 5*t**2 + 19*t - 60*t.
-5*t*(t + 8)
Let -2/3*o**2 - o + 2/3 + 0*o**4 - 1/3*o**5 + 4/3*o**3 = 0. What is o?
-2, -1, 1
Determine o, given that 0*o + 0 - 2/9*o**3 + 0*o**4 + 0*o**2 + 2/9*o**5 = 0.
-1, 0, 1
Let j be (-96)/(-32) - ((-10)/(-3) - 1). Factor -1/3*g**2 + 1/3*g + j.
-(g - 2)*(g + 1)/3
Let w(u) be the first derivative of -u**3/6 - u**2/2 - u/2 + 5. Factor w(p).
-(p + 1)**2/2
Let u(n) = -n**2 + 13*n + 17. Let h be u(14). Let 1/4*f**h + 1/2*f**2 + 1/4*f + 0 = 0. Calculate f.
-1, 0
Let u = 4 + -2. Determine w so that 63*w**u + 6*w**3 + 12 - 60*w - 12*w**4 - 11*w**4 + 2*w**4 = 0.
-2, 2/7, 1
Let g be (0 - -3) + (-21)/21. Suppose g = -7*o + 16. Factor 14*v**3 + 5*v**4 + 0 + 8/5*v + 44/5*v**o.
v*(v + 2)*(5*v + 2)**2/5
Let k = -62 - -64. Solve 0 - 16/5*g**k + 8/5*g - 14/5*g**4 - 38/5*g**3 = 0 for g.
-2, -1, 0, 2/7
Let p(w) be the third derivative of w**7/420 - w**6/120 - 4*w**2. Factor p(h).
h**3*(h - 2)/2
Let x = 468 + -465. Determine d, given that 2/7*d**2 + 0 - 2/7*d**x + 0*d = 0.
0, 1
Let k be (-102)/34 + 58/18. Suppose 4/9 - k*g**3 + 2/9*g - 2/3*g**2 + 2/9*g**4 = 0. What is g?
-1, 1, 2
Let l(u) be the second derivative of -u**6/105 - u**5/70 - 7*u. Factor l(s).
-2*s**3*(s + 1)/7
Let f = -25 - -25. Let y(v) be the second derivative of 1/60*v**5 - 1/18*v**3 - v + 0*v**2 + 1/90*v**6 + f - 1/36*v**4. Solve y(g) = 0 for g.
-1, 0, 1
Let j(d) = -4*d**3 + d + 1. Let h be j(-1). Suppose 14 = h*q + 6. Solve q*x**4 - 14*x**2 + 0*x**3 - 4*x**3 + 12*x**4 + 4*x = 0.
-1, 0, 2/7, 1
Let r be (-5)/(-12) + 1/3. Let v be (-22 + 9 + 12)*(-1)/4. Let 0 + 0*m + 3/4*m**4 - r*m**3 + 1/4*m**2 - v*m**5 = 0. What is m?
0, 1
Let h = 8 + -5. Let i = 3 - h. Suppose 2/9*a**5 + 2/3*a**4 + 2/9*a**2 + 2/3*a**3 + i + 0*a = 0. What is a?
-1, 0
Factor 0 + 4/3*w**3 - 8/3*w**2 + 0*w.
4*w**2*(w - 2)/3
Let w(h) be the first derivative of h**9/7560 - h**8/2100 + h**7/2100 - h**3/3 + 1. Let s(y) be the third derivative of w(y). Factor s(q).
2*q**3*(q - 1)**2/5
Let t = -3 - -5. Suppose 0 = -3*c + c - 2, 0 = -5*f - 5*c + 5. Factor u**f - 4*u**t + 0*u - 2*u + u**2.
-2*u*(u + 1)
Let p(x) be the third derivative of -x**8/168 + x**7/21 - 3*x**6/20 + 7*x**5/30 - x**4/6 - 3*x**2. Factor p(t).
-2*t*(t - 2)*(t - 1)**3
Let i(j) be the third derivative of j**8/112 - 13*j**7/280 - j**6/160 + 13*j**5/80 - 3*j**4/32 - 6*j**2. Find l such that i(l) = 0.
-1, 0, 1/4, 1, 3
Suppose 2*t + 2 = 6*t - 2*n, -3*n + 15 = 0. Suppose -v**2 + 0*v**4 - 2*v**4 + 3*v**t + 0*v**3 + v**5 - v**4 = 0. What is v?
0, 1
Let z(g) = g**4 + g + 1. Let v(o) = 2*o**5 + 2*o**4 - 2*o**3 + 2*o + 2. Let h(k) = v(k) - 2*z(k). Suppose h(l) = 0. What is l?
-1, 0, 1
Suppose 32 = 3*v + v. Suppose 0 = -v*z + 4*z. What is d in -1/4*d**4 - 1/2*d**3 + 0 + z*d + 0*d**2 = 0?
-2, 0
Let t(q) be the first derivative of -5*q**4/4 - 13*q**3/12 - q**2/4 - 5. Factor t(n).
-n*(4*n + 1)*(5*n + 2)/4
Determine d, given that 4*d**2 - 4*d - 9*d**2 - 6*d = 0.
-2, 0
Suppose 5 = -2*s + 5*o, -4*s + 35 = 2*o + 3*o. Determine k so that 2*k + 4*k - 5*k - k**3 - k**3 + k**s = 0.
-1, 0, 1
Let i(l) = -l + 2. Let h be i(-1). Suppose -2*q - 8 = -6*q. Factor -3*c**h - 2*c**q + 0*c + c + 2*c - 2*c.
-c*(c + 1)*(3*c - 1)
Let q(d) be the second derivative of -d**6/1800 - d**5/600 + d**4/60 - d**3/6 + d. Let a(c) be the second derivative of q(c). Factor a(l).
-(l - 1)*(l + 2)/5
Let i(n) be the first derivative of n**4/48 - n**3/8 + n**2/4 - n + 6. Let o(z) be the first derivative of i(z). What is r in o(r) = 0?
1, 2
Suppose -4*x = -5 - 3. Factor -x*a**2 + 2*a**2 + 2*a**2 - 5*a**2.
-3*a**2
Suppose k - v + 5 = 2*k, -3*v + 11 = k. Suppose u + 9 = 2*u - 4*f, 3*u = -4*f - 5. Factor -u + 3*r**2 - 2*r**k + 0.
(r - 1)*(r + 1)
Let t(o) be the second derivative of -7/12*o**4 + 8/3*o**3 - 3*o - 2*o**2 + 0. Factor t(y).
-(y - 2)*(7*y - 2)
Let y = 3 + -1. Suppose b - 4*t = -3*b, -b = -4*t + 9. Factor 5/2*d**2 + y + 7/2*d**b - 8*d.
(d - 1)*(d + 2)*(7*d - 2)/2
Let b(g) be the first derivative of g**7/147 - 2*g**6/105 + g**4/21 - g**3/21 - 2*g - 4. Let z(k) be the first derivative of b(k). Find t, given that z(t) = 0.
-1, 0, 1
Let i(y) be the second derivative of 0*y**4 - 3*y + 0*y**2 + 0 + 1/3*y**3 - 3/40*y**5 + 1/60*y**6. Factor i(d).
d*(d - 2)**2*(d + 1)/2
Let f be (-4 + (-6)/(-3))/2. Let b be -2 + 4/1 - f. Determine y, given that 0 - 2/3*y**b + 0*y**2 + 2/3*y = 0.
-1, 0, 1
Let t = 109/444 - 6/37. Let s(f) be the first derivative of -1/8*f**4 + 0*f + 0*f**2 + t*f**3 + 1. Let s(m) = 0. Calculate m.
0, 1/2
Let k = 22 + -19. Let g = 23/60 + -2/15. Let -1/4*x**k + 1/4*x - g*x**2 + 1/4 = 0. Calculate x.
-1, 1
Factor 5/2*b**3 - 39/2*b**2 + 8 + 36*b.
(b - 4)**2*(5*b + 1)/2
Let v(c) be the second derivative of -c**4/42 - c**3/21 + 6*c**2/7 + 51*c. Determine x so that v(x) = 0.
-3, 2
Let y(t) be the third derivative of t**6/180 - t**5/90 - t**4/36 + t**3/3 + 2*t**2. Let g(u) be the first derivative of y(u). Find v, given that g(v) = 0.
-1/3, 1
Suppose -5/4*q**2 - 5/8*q - 1/8 - 5/4*q**3 - 5/8*q**4 - 1/8*q**5 = 0. What is q?
-1
Let a(k) be the first derivative of -3 + 0*k**4 + 0*k**2 + 0*k + 0*k**3 + 1/6*k**6 - 1/5*k**5. Let a(r) = 0. Calculate r.
0, 1
Let j(c) be the third derivative of c**6/60 + c**5/30 - 18*c**2. Let j(p) = 0. What is p?
-1, 0
Let x(y) be the first derivative of -y**4/22 + y**2/11 - 2. Solve x(o) = 0.
-1, 0, 1
Let l(d) be the third derivative of -d**5/140 - 11*d**4/28 - 121*d**3/14 - 56*d**2. Find r, given that l(r) = 0.
-11
Suppose 5*j + 2 - 12 = 0. Let s(v) be the third derivative of 0*v + 1/90*v**5 + 3*v**j + 0 - 1/18*v**4 + 0*v**3 + 1/180*v**6. Factor s(x).
2*x*(x - 1)*(x + 2)/3
Let j = 44 + -351/8. Let v(n) be the second derivative of 1/80*n**5 - n + j*n**2 - 1/24*n**3 + 0 - 1/48*n**4. What is h in v(h) = 0?
-1, 1
Let l be (12 + -2)/(0 + 1). Factor l - 4*h**2 + 2*h - 10 + 2*h**3.
2*h*(h - 1)**2
Let s(k) = -6*k**4 + 6*k**3 - 3*k. Let l(j) be the first derivative of 17*j**5/5 - 9*j**4/2 - j**3/3 + 5*j**2 - 4. Let h(z) = 3*l(z) + 8*s(z). Factor h(y).
3*y*(y - 2)*(y - 1)*(y + 1)
Let t(w) = 12*w**2 - 10*w - 8. Let p(o) = 11*o**2 - 10*o - 9. Let k(a) = -3*p(a) + 4*t(a). What is u in k(u) = 0?
-1/3, 1
Suppose -5*a = 8*a. Find r such that 2/3*r**2 - 7/3*r**3 + a + 5/3*r**4 + 0*r = 0.
0, 2/5, 1
Let c be (-15)/(-6)*(-8)/(-10). Factor 0 + 4/5*d + 2/5*d**c.
2*d*(d + 2)/5
Let w(l) be the first derivative of -2/27*l**3 + 0*l + 1/9*l**2 - 2. Determine a so that w(a) = 0.
0, 1
Let t = -49/2 - -25. Let p(s) be the first derivative of -2/5*s**5 - s**2 + 2/3*s**3