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pile-dm_mathematics-elimination-slm-l1sae267

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plify (n/n**22)**(-1/13) assuming n is positive. n**(21/13) Simplify (f/((f*((f*f**(-2))/f)/f*f*f)/f*f*f)*f**(-2/13))/(f*f**0)**(20/9) assuming f is positive. f**(-278/117) Simplify l**29*l**(4/5) assuming l is positive. l**(149/5) Simplify h**(-9/5)*((h*h**(-1/46))/h)/h assuming h is positive. h**(-649/230) Simplify (j*j/(j/(j/(j**(-2/9)/j*j)*j)*j))**(-1/16) assuming j is positive. j**(-5/36) Simplify (y*y*y**3*y)**(-6/5) assuming y is positive. y**(-36/5) Simplify ((u**(-3))**(-50))**(30/13) assuming u is positive. u**(4500/13) Simplify (o*o**(1/6)*o)/o**(-26) assuming o is positive. o**(169/6) Simplify (o/(o*o**(8/3)))/o*o/(o/o**(2/7)*o)*(((o/(o**0/o))/o)/o)**40 assuming o is positive. o**(-92/21) Simplify (q**27)**(-21) assuming q is positive. q**(-567) Simplify (w**2*w)**(-18)/((((w**(-1/9)*w)/w)/w)/w*w/(w/(w/(w**(2/13)/w))*w)*w) assuming w is positive. w**(-6287/117) Simplify (v*v**(1/16))**(-7/9) assuming v is positive. v**(-119/144) Simplify ((m*m**1)/m*m)/(m/(m*m**(-1)/m)*m)*m**(2/9)*(m/((m*m/(m*m**2)*m)/m))/m assuming m is positive. m**(2/9) Simplify (w/w**(-2/35)*w)/w*w**(-5/4) assuming w is positive. w**(-27/140) Simplify (l**(-6)/l*l**(1/15)*l)**8 assuming l is positive. l**(-712/15) Simplify (t*(t*t**(-3/10)*t)/t)/(t/(t/(t/(t**(1/21)*t)))*t) assuming t is positive. t**(157/210) Simplify z**15*((z**14*z*z)/z)/z assuming z is positive. z**29 Simplify ((b**(1/2)/b)/b)/b**(12/17) assuming b is positive. b**(-75/34) Simplify (m*m**(-4)*m)/m*m**(-23) assuming m is positive. m**(-26) Simplify y**(1/3)*y**29 assuming y is positive. y**(88/3) Simplify (d**(-2/9)/d**(-3/4))/(d/(d/(d/(d**(-2/11)*d*d)))*d**(-3)) assuming d is positive. d**(1721/396) Simplify (i**(2/21)*i)/i**5 assuming i is positive. i**(-82/21) Simplify a**(-3)*a/(a*a**(-5))*(a/a**(-4))/(a**(-5)*a) assuming a is positive. a**11 Simplify ((o**(-7)*o*o)/o)**(14/15) assuming o is positive. o**(-28/5) Simplify ((i*i*i**(-6)/i)/(((i*(i/(i/((i/(i**3*i))/i)))/i)/i)/i))**24 assuming i is positive. i**24 Simplify (a**(-4)/(a*a/(a*a/(a/a**(2/7)*a))))**(-44) assuming a is positive. a**(1760/7) Simplify r*r**37*r*r**(2/5)/r assuming r is positive. r**(192/5) Simplify ((n*(n/n**(1/3))/n)/n*n/n**(-4/5)*n)**(-16) assuming n is positive. n**(-592/15) Simplify (w/w**0)/w*w*w**(-8/3)/w assuming w is positive. w**(-8/3) Simplify g**(3/8)*g*g*g**(7/4) assuming g is positive. g**(33/8) Simplify (h/h**8*h*h*h*h**7)**(-1/45) assuming h is positive. h**(-1/15) Simplify u/(u*u*u/(u/(u**(2/15)*u))*u)*u/u**(-1/4)*((u*u**5/u)/u)/(u**(-5)/u*u) assuming u is positive. u**(427/60) Simplify (z**(8/7)*(((z/z**(-9))/z)/z)/z*z*z)**(-47) assuming z is positive. z**(-3337/7) Simplify (l**15/l)**(2/69) assuming l is positive. l**(28/69) Simplify (w*w**(-5))**(-4) assuming w is positive. w**16 Simplify (k*k*k/k**(-1/2)*k*k)**(-45)/(k**(1/2)/(k**6/k)) assuming k is positive. k**(-243) Simplify l**(-2/15)*l*l*l**3 assuming l is positive. l**(73/15) Simplify (v**(-1/8)/v**(-2/7))/(v/(v/(v/v**(-2/3))*v))**2 assuming v is positive. v**(-197/168) Simplify b*b/b**(-10)*b**9*(b**(2/3)*b)/(b**(-7)/b*b) assuming b is positive. b**(89/3) Simplify (((t/(t*t**(2/7)))/t*t)/t)**(-7/6)*((t**(-1)*t)/t*t*t)**(19/4) assuming t is positive. t**(25/4) Simplify (c**(2/9)*c**(3/4))/(c**(5/6)/(c*(c*c**(-8))/c)) assuming c is positive. c**(-247/36) Simplify (g*g**(-6/7))**(-1/18) assuming g is positive. g**(-1/126) Simplify w**(2/67)/((w/w**9)/w) assuming w is positive. w**(605/67) Simplify c**(-27)/c**(1/2) assuming c is positive. c**(-55/2) Simplify x**(-2)*x/x**(-4)*x**(-2/15)/(x**(1/3)/x) assuming x is positive. x**(53/15) Simplify ((k*(k*((k/(k/(k**(2/7)*k))*k)/k*k*k*k)/k*k)/k)/k)/k**(-6)*(k*k*k/(k**(2/7)/k))/(k*k**(2/5)) assuming k is positive. k**(63/5) Simplify j/(j**6*j*j*j)*j**(6/13) assuming j is positive. j**(-98/13) Simplify (n**9*n/(((n*n/(n/n**(-9)*n)*n)/n)/n))/((n/(n**(-3)/n*n*n))/(n/(n**7/n))) assuming n is positive. n**12 Simplify ((p*p**(-3/4))/p)**(3/11)*(p**2/p)**(-8/19) assuming p is positive. p**(-523/836) Simplify (z*z**(5/4))/(z/z**(-1/30)) assuming z is positive. z**(73/60) Simplify ((s*s/s**2)**28)**23 assuming s is positive. 1 Simplify ((((s**(-1)/s)/s)/s)/((s/(s/(s**(-1/4)/s))*s)/s))**(-4) assuming s is positive. s**11 Simplify (i**(-7)/i)/(i*((i*i**(1/6))/i)/i)*i**(-11)*i**10 assuming i is positive. i**(-55/6) Simplify (a**0)**(-2/35)/(a/(a/(a/((a**0*a)/a)))*a)**(-29) assuming a is positive. a**58 Simplify o**(-6/5)*((o*o*o*o**(-4)*o*o*o)/o)/o assuming o is positive. o**(-6/5) Simplify (d**(4/9))**5 assuming d is positive. d**(20/9) Simplify b**(-20)*b**1 assuming b is positive. b**(-19) Simplify (v*v**(-1)/v*v)/(v/(v/v**(-2)))*(v**(-1))**(-42) assuming v is positive. v**44 Simplify (k**(1/17))**(-9/8) assuming k is positive. k**(-9/136) Simplify u**(-1)*u*u*((u*u**19*u)/u*u)/u assuming u is positive. u**21 Simplify x**(-3/4)*x*x*x*x**(-2)*(x**(-2))**(-10) assuming x is positive. x**(81/4) Simplify (h/(h/(h*h/(h**(-6)/h)*h)))**(-10/17) assuming h is positive. h**(-100/17) Simplify (z**(-2/9)/(z/(z**(2/29)/z)))**(-11/5) assuming z is positive. z**(6182/1305) Simplify (((p*(p*p**(-2/7))/p)/p)/(((p*p*(p/(p*p**(-6)))/p*p*p)/p)/p))**(-19) assuming p is positive. p**(969/7) Simplify ((s**(2/27)*s)/s)/(s/(((s/s**4*s*s)/s)/s)) assuming s is positive. s**(-106/27) Simplify ((t**(1/4))**(2/3))**(-8/7) assuming t is positive. t**(-4/21) Simplify q**(-2/3)/(((q*q/(q/((q/q**(-3/5))/q*q)))/q)/q) assuming q is positive. q**(-19/15) Simplify (g*g**17)**(-13/5) assuming g is positive. g**(-234/5) Simplify ((t/t**(-1/9))/(t/(t*t**(-5)*t)))**(-21) assuming t is positive. t**(182/3) Simplify (r**(-8)/(r**(1/5)*r))**14 assuming r is positive. r**(-644/5) Simplify ((a**(-3/2))**(-2/35))**(2/57) assuming a is positive. a**(2/665) Simplify b**(-5)/b*b**15 assuming b is positive. b**9 Simplify i*i**(-1/25)*i*i/(i**(-21)/i) assuming i is positive. i**(624/25) Simplify (f**(-1/2)*f**(2/5))**(-1/3) assuming f is positive. f**(1/30) Simplify ((g*g**(-4))/g)**(-34) assuming g is positive. g**136 Simplify t**(1/6)/t*t/(((t*t**(-1))/t)/t*t*t)*t**6/t**(-2/11) assuming t is positive. t**(419/66) Simplify ((q**9*q)/((q/q**(-1/6))/q))/(q**(-2/7)*q)**30 assuming q is positive. q**(-487/42) Simplify (b*b*b/b**(-12))/(b/(b/(b*b/b**(2/13)*b))) assuming b is positive. b**(158/13) Simplify o**10/o*o/(o*o**(-6))*(o*o**(-2/5)*o*o)/(o/(o/o**(2/19)*o)*o) assuming o is positive. o**(1662/95) Simplify ((n**(-1)/n)**(-23))**(3/14) assuming n is positive. n**(69/7) Simplify (i**(-3))**47 assuming i is positive. i**(-141) Simplify ((h**(1/4))**(2/133))**5 assuming h is positive. h**(5/266) Simplify ((f**1/f*f)/f)**(-2/45)/(f/(f*f/(f**1*f*f)*f*f*f))**12 assuming f is positive. f**12 Simplify u*((u/(u/(u/((u*u**8*u)/u))*u))/u)/u*u**(-11) assuming u is positive. u**(-21) Simplify ((k**(-5/2)/k)/k)/k**(1/44) assuming k is positive. k**(-199/44) Simplify (u/u**3*u**7)/(u**(-1/2))**(5/9) assuming u is positive. u**(95/18) Simplify ((h*h**(2/27)*h*h*h*h)/(h/h**(-15)))**47 assuming h is positive. h**(-13865/27) Simplify ((w*(w*w/(w/((w*w/(w/(w/(w**(-7/3)/w))))/w)))/w*w)/w*w*w**(6/7)/w*w)**(-2/115) assuming w is positive. w**(-302/2415) Simplify (g**(2/7))**(2/23)/(((g**(7/3)/g)/g)/g*g*g**7) assuming g is positive. g**(-3530/483) Simplify a**(2/83)*a**(-10) assuming a is positive. a**(-828/83) Simplify m**(1/15)*m**(-1/6) assuming m is positive. m**(-1/10) Simplify h**(2/21)/(h*h**(-2/5)/h) assuming h is positive. h**(52/105) Simplify (i/(i*i**(-5)))/(i*i**(-3/2)/i)*(i**0)**(-11/8) assuming i is positive. i**(13/2) Simplify (k**7*k*k*k)/((k**(-13)/k)/k) assuming k is positive. k**25 Simplify (i*i*i*i/(i**(-14)/i*i)*i)/(i**(-15)/i) assuming i is positive. i**35 Simplify u**(-2/3)*u/u**(-12) assuming u is positive. u**(37/3) Simplify (i**(-6)/i**(1/10))/(i**(1/2)/i)**(2/49) assuming i is positive. i**(-2979/490) Simplify i**(9/5)*i**3/i assuming i is positive. i**(19/5) Simplify (b/(b*b**(-1/2)))**24*b**(-7)/(b**4/b*b) assuming b is positive. b Simplify (r/r**0)**(-39)/((r/(r*r**1))/(r**(-2/9)*r)) assuming r is positive. r**(-335/9) Simplify c**(4/5)/c**(-2/7)*((c**0*c*c)/c)**(1/3) assuming c is positive. c**(149/105) Simplify n*n**10*(n*n**(-4/7)*n)/n assuming n
{ "pile_set_name": "DM Mathematics" }
t**(-1/4)*t*t)/t)/t)))/(t**5*t**(-2)))/(((t/t**(2/9)*t)/((t*t**1)/t))/(t**(5/6)/t**(-2))) assuming t is positive. t**(209/36) Simplify ((k/(k**4*k))/(k/(k*k/(k/((k/k**(-6))/k)))))/((k**(2/7)*k)/k*k*(k/(k**(1/4)*k))/k*k)*(k*k**(-2))**23*(k*k*k**(1/4)/k*k*k)**25 assuming k is positive. k**(829/14) Simplify (i**2)**(-37)/(i**(-1/3))**(-29)*((i/i**(-2/9))/i*i)**(-3/13)*(i**1*i)**(-2/55) assuming i is positive. i**(-180226/2145) Simplify ((((z**(-2/7)/z*z*z*z)/z)/z*z*z*z*z**21)/(z**25*z**(2/23)*z))**(12/11) assuming z is positive. z**(-4584/1771) Simplify (g**(-1/2)*g)/(g**(-6)/g)*(g/(g**0*g*g*g)*g)**(-28)*(g/(g/(g/(g**(-2)/g*g)))*g**(-5))/(g**(-3)/g*g**(-1)) assuming g is positive. g**(77/2) Simplify y/(y/y**(-3/7))*y**(-6)*(y/(y*y**2)*y)/y*(y**(1/2)*y)/y*((y*y*y*y**(-3/7)/y)/(y/y**5))/(y**3*y/y**2) assuming y is positive. y**(-61/14) Simplify ((n**(-2/63)*n*(n/(n/(n/(n/n**(-5/4)))))/n*n*n)/(n**11*n**22))**(-11/4) assuming n is positive. n**(89485/1008) Simplify o**(-1)*o**(-4)*o*o*o*(o**(-2/5)/o)/o*(o*o*o/(o/o**(-1/7)))/o*(o**(-6)/(o/o**(-2/17)))**17 assuming o is positive. o**(-4359/35) Simplify ((h/(h/(h*h**(-2))))**(2/7))**(15/8)/((h**(-1/2))**29*(h/h**(-2/17))/((h*(h/h**7*h)/h)/h)) assuming h is positive. h**(3259/476) Simplify ((g*g**(-1/3)/g*g)**(-15)/(g**(-10)/(g*g**(-9)*g)))**(-38) assuming g is positive. g**266 Simplify ((y**(1/30)/y**9)**41)**(-1) assuming y is positive. y**(11029/30) Simplify ((r*r/r**5)/r*r**(-1/8)*r**(-2/7)/r*r**(-1/5))/((r**(-2/3)/r)/r**(-3)*(r/(r**(-1)/r))**36) assuming r is positive. r**(-96553/840) Simplify ((t*t**1)**(-26))**(-1/6)/(((t**(-2/9)/t)/(t**0*t))/(t*t**(-1))**40) assuming t is positive. t**(98/9) Simplify k**7/(k**5/k)*k**(-1/4)*(k*k**(-2))/k*((k**(-4/9)/k)/k**(-3/2))/((k*(k**2*k)/k)/k*k**(2/13)/k*k) assuming k is positive. k**(-631/468) Simplify ((p**(-6)*p)/p**0*(p*p**0)**(1/18))/(p/p**2*p*p*p**(4/3)*p*p*(p*p**1*p)**(-7/3)) assuming p is positive. p**(-41/18) Simplify (g**5*g**(2/15))/(g/(g/(g**(2/7)/g)))**(-7)*(g**3*g**(-5/4))/(g**(-2)*g*g**(1/4)) assuming g is positive. g**(79/30) Simplify ((((p*(p/p**(-33))/p)/p)/p)/p)**(-2/15)*(p/(p/p**(16/3)))**(1/71) assuming p is positive. p**(-4322/1065) Simplify (u*u/(u**(2/5)*u)*(u/u**(-3/7)*u)/u*u**(-3/5)*u*u*u/(u**(-13)/u)*u*u*u*u)**50 assuming u is positive. u**(7850/7) Simplify (((n**8/(n*n**(1/10)*n*n))/(n**(-1/6)/n**8))**(-8))**(-44) assuming n is positive. n**(68992/15) Simplify (k/(k*k/(k*k*k*k/(k*k*k/k**(-6)*k))*k*k*k)*k/k**(1/11)*(k/(k**(-37)/k))**(-10/3))**41 assuming k is positive. k**(-62730/11) Simplify (m/m**(1/8)*m/(m**(-4)/m*m*m))/(m**(-3)/(m/m**(-2/7)))*m*m*m**1*m**(-3)*(m**1)**(2/49) assuming m is positive. m**(3607/392) Simplify (f**(-7)/f)**(-1/2)*f**(-25)*f*f/(f**(-8/5)/f) assuming f is positive. f**(-82/5) Simplify ((z*z*z**(-6))/(z/((z*z**1)/z)))**(1/28)*(z**(-2/5))**49*z**0*z*z*z**8 assuming z is positive. z**(-341/35) Simplify (t/t**5*(t**0/t)/t*t**(-1)*t**(1/2))/((t/(t/t**(-2/7)))/t**(-5/3)*(t/(t*t**(1/3)))**(-6/5)) assuming t is positive. t**(-1739/210) Simplify p/p**2*p/(p/(p**(2/15)/p*p)*p)*p**6/(p*(p**3/p)/p)*p*p*p/p**(-1)*(p/p**(1/3))/p*(p/p**1)/(p**(4/9)*p) assuming p is positive. p**(196/45) Simplify (o*o**(-2)*o**3*o**(-4/9)*o/o**(3/8))/(((o/(((o/(o*o**(-1))*o)/o)/o))/o)**(-44)*(o/o**(-1))**(-24)) assuming o is positive. o**(3613/72) Simplify (((u*u**5/u*u)/u*u**(-1))/(u**(3/5)/(u**(1/9)/u)))/((u**(2/7))**(-36/7)*(u*u**(-1/10)/u)/(u/(u/(u*(u**(2/9)/u*u*u*u)/u)))) assuming u is positive. u**(1853/294) Simplify ((k*(k/(k**(1/5)/k))/k)/(k/(k*k/(k*k**(-14))))*k**(7/2)/k*k*k**0*k)**5 assuming k is positive. k**(203/2) Simplify (((r/((r*r**(-5)/r)/r))/r**(2/19)*r*r/(r/(r*r**(2/5)))*r**(-2/5))**(1/18))**(1/5) assuming r is positive. r**(169/1710) Simplify (m**(-2/9)*m**(-1/8)*m*m)**(2/45)*(m*(((m*m**(-4))/m)/m)/m*m)/(m*m**(-5))*(m**(4/5)/m)/m**2 assuming m is positive. m**(-689/324) Simplify (l**(2/3))**(-3/32)/(l*l*l**0)**(21/4)*(l**(1/7)/l)/l**(1/6)*(l/l**(-1/4))/(l**(1/6)*l) assuming l is positive. l**(-3865/336) Simplify ((z**(2/3)/(z/z**5))/((z*z*z/(z/(z/z**(1/6))*z))/(z**(-3/8)*z*z)))**(-34) assuming z is positive. z**(-1819/12) Simplify (z**(-8/7)/(z**(-5)*z))**(-13/6)*((z*z/((z*z/(z**(-2)/z))/z*z))/z*z)/z**(2/13)*(z**0)**(7/5) assuming z is positive. z**(-2551/273) Simplify q**19*q*q*q*q*q*q**(-12/13)*q*(q**(-1/6))**15 assuming q is positive. q**(561/26) Simplify (a**(-18/13)/(a*a**(5/16)))/(a/(a**(-4/9)*a))**(-2/61) assuming a is positive. a**(-306325/114192) Simplify ((w/w**15)**(11/4)/((w/(w/((w*w**(-2/23)*w)/w*w)))/(w/(w**(-34)*w))))**(41/4) assuming w is positive. w**(-12095/184) Simplify (((a*a*a/(a**3*a))/a)**(-14/11)*a*a*a*a*a*(a/(a/a**(1/4)))/a*a/(a/(a**(3/4)/a)))**26 assuming a is positive. a**(1872/11) Simplify ((j**(-5)/((j**(4/3)/j)/j))/(j**3*j/j**0))/(((j/(j**(4/3)*j))/(j*j**(-4)))/((j/j**(5/3))/(j/j**(-3)))) assuming j is positive. j**(-44/3) Simplify t**2/t*t**(-2)*t*t**(-7/4)*t/(t**(3/10)*t)*(t**(-9)*t**(-2/7))/((t/(t*t*t*t*t*t/((t/((t**(1/6)/t)/t))/t)*t))/t**(2/19)) assuming t is positive. t**(-56369/7980) Simplify (((y/y**(2/13))/y**(4/3))/(y*y**(3/5)*y*(y**(1/2)/y)/y))/(y**(2/5)*y**(2/3)*((y/y**(1/4))/y*y)**(3/5)) assuming y is positive. y**(-807/260) Simplify (i/(i*i*i**(-2/5)*i*i)*i*i**(3/7)*i)**(1/10)/((i*i**(-6)/i)/i**(-1/2))**(10/7) assuming i is positive. i**(196/25) Simplify ((o**(-3)*o)**46/(o/(o*o**(-2/15)))**(-1/7))**8 assuming o is positive. o**(-77264/105) Simplify (c/c**(-5)*c**(7/2)/c)**(-22)/(c**(-1)/(c**7*c*c)*c**(1/11)/((c*c/c**(5/2))/c)) assuming c is positive. c**(-3929/22) Simplify ((z/z**(1/3))/z*z/z**(-1)*(z*z/(z/(z*z*z**(-1)*z))*z)**(-7))/((z**(2/5))**(-2/23)/((z*z*z**(1/2)*z)/z)**(25/4)) assuming z is positive. z**(-29459/2760) Simplify ((m*m**3)/m*m**2)/((m/m**1)/m)**21*(m*(m*m**8/m)/m*m**(1/3)*m)**(2/15) assuming m is positive. m**(1226/45) Simplify ((f/(f**22*f))**13/(f**(2/43)*f)**(1/26))**17 assuming f is positive. f**(-5436481/1118) Simplify (w**4/w*w)/w*w**4*w/(w**(2/11)/w)*w**2*(w/((w**(2/5)*w)/w*w))/w**(2/9)*(w**(-1/2)/w*w)**49 assuming w is positive. w**(-14161/990) Simplify (((h**9)**25)**(-6/23))**0 assuming h is positive. 1 Simplify (i**(3/7)/(i*i**(2/13))*i**(1/3)/(i**(-8)/i))/((((i*i**1)/i*i*i)/(i**(-1/3)/i))/(i/(i/(i*i**0)*i))**39) assuming i is positive. i**(389/91) Simplify ((h*h*h**(-4/3)*h*h**(-3)*h)/((h**0*h)/h)**39)/((h**(-1))**(3/4)*h**(-2)/(h/h**(2/3))) assuming h is positive. h**(11/4) Simplify (d*d**7*d*(d**4*d)/d*d**(1/8)*d*d**4)/((((d*d/d**(-3/2))/d)/(d**(1/10)*d))/(d**0)**20) assuming d is positive. d**(669/40) Simplify ((l*l**20*l*l**5/l*l)**(-49))**(-40) assuming l is positive. l**52920 Simplify (c/((c**(5/4)/c*c*c)/c)*c*c*c*c*c**9)/(((c**(-5/12)/c)/c)/((c*c**(-33/2))/c)) assuming c is positive. c**(-4/3) Simplify (l**(-39)/(l*l/(l/l**(20/9))*l*l))/(l**(-1/3)*l**(-27)) assuming l is positive. l**(-152/9) Simplify (l**(-6)/(l/l**(-6)))/(l**(3/4)/((l/(l/(l/(l/l**2))))/l*l))*(l**0)**(-15)/(l**(-1))**(-4/3) assuming l is positive. l**(-157/12) Simplify ((y*y/(y*y**(-29)))/y)**12/((y/(y/(y*y/(y/(y*y/y**(-8)))*y)))/(y*y/(y**(-34)*y))) assuming y is positive. y**371 Simplify (((s*s**8)/(s/s**(-26)))/(s*s**1)**15)**39 assuming s is positive. s**(-1872) Simplify ((f**5/f)**(2/23)*f/(f*(f*f**(1/16))/f)*f**(1/15)*f)**(-40) assuming f is positive. f**(-7463/138) Simplify ((y**0/(y*y**(-6/11)))/(y**(-1/2)/y*y*y/(y*y**3)*y))/((y**0*y*y)**(-16)/(y**(2/3)/y)**(-5/3)) assuming y is positive. y**(6851/198) Simplify ((o/o**22)/o*(o**(12/7)*o)/o)/((o/o**(-13))/o*o/o**12) assuming o is positive. o**(-156/7) Simplify (d**(5/3)/d**(1/2))/(d/(d/d**0))**(5/12)*((d/(d/d**(-1/3)))/d)**(1/4)/(d*d*d**(1/3)*d**5) assuming d is positive. d**(-13/2) Simplify ((v*v**(-1/2)/v*v)**(2/7))**(7/6)*((v/((v/v**(-5))/v))/v**(1/6))/(v**2/(v**(-3)*v)) assuming v is positive. v**(-8) Simplify ((m**(-1/2)/(m*m**(-1/2)*m*m*m))/(((m/(m*(m*m**(4/7))/m))/m)/m**(-3)))/((m*m**(-2/3)*m)/m**(-3/4)*m**(-2)/(m**(1/7)*m*m)) assuming m is positive. m**(-283/84) Simplify ((x**(2/7))**13*x*x**(-2/17)*x**(-6)/x*x)/(x*x**(-6)*x**4*x)**(-5/9) assuming x is positive. x**(-167/119) Simplify ((q*q/(q**5/q)*q**5)/(q**(2/7)*(q**(-5)*q)/q))/(q**(1/6)*(q*q/(q*q*q/(q/q**(-6/7))*q*q)*q)/q)**(3/32) assuming q is
{ "pile_set_name": "DM Mathematics" }
hat is k? 0, 2, 35 Determine r so that 3*r**3/4 - 33*r**2/4 + 93*r/4 - 63/4 = 0. 1, 3, 7 Let -3*r**4/11 - 58*r**3/11 - 316*r**2/11 - 342*r/11 - 81/11 = 0. What is r? -9, -1, -1/3 Let -2*g**5/7 - 10*g**4/7 + 12*g**3/7 = 0. Calculate g. -6, 0, 1 Factor c**2 - c - 6. (c - 3)*(c + 2) Determine y, given that 6*y**4 - 44*y**3 - 2*y**2 + 104*y + 56 = 0. -1, -2/3, 2, 7 What is d in 2*d**5/13 + 10*d**4/13 + 18*d**3/13 + 14*d**2/13 + 4*d/13 = 0? -2, -1, 0 Solve 5*q**3/2 + 825*q**2/2 + 3235*q/2 + 2415/2 = 0 for q. -161, -3, -1 Factor -21*q**3/8 + 11*q**2/4 - q/8. -q*(q - 1)*(21*q - 1)/8 Factor 9*z**3 - 1893*z**2 - 1265*z - 211. (z - 211)*(3*z + 1)**2 Find a, given that 16*a**2 - 9676*a - 2420 = 0. -1/4, 605 Suppose -3*v**4/4 + 21*v**3/4 + 57*v**2/4 - 21*v/4 - 27/2 = 0. What is v? -2, -1, 1, 9 Factor -21*f**3 + 150*f**2 - 333*f + 216. -3*(f - 3)**2*(7*f - 8) Let -r**2 - 696*r - 1388 = 0. What is r? -694, -2 Factor -i**2/6 - 89*i/3 - 176/3. -(i + 2)*(i + 176)/6 Solve -5*k**3 - 45*k**2 - 30*k + 80 = 0. -8, -2, 1 Factor -5*b**3 + 15*b**2 - 15*b + 5. -5*(b - 1)**3 Solve 4*r**2 + 492*r + 488 = 0 for r. -122, -1 Factor -4*x**4/3 - 4*x**3/3 + 4*x**2/3 + 4*x/3. -4*x*(x - 1)*(x + 1)**2/3 What is k in 2*k**4/9 - 22*k**3/9 + 22*k**2/9 + 118*k/9 + 8 = 0? -1, 4, 9 Factor -2*d**4 + 8*d**3 + 74*d**2 - 80*d. -2*d*(d - 8)*(d - 1)*(d + 5) Factor 5*z**2 + 990*z + 1960. 5*(z + 2)*(z + 196) Solve 10*n**5 - 176*n**4 + 728*n**3 + 500*n**2 - 738*n - 324 = 0. -1, -2/5, 1, 9 Factor y**3 - 3*y**2 - 10*y + 24. (y - 4)*(y - 2)*(y + 3) Suppose 3*f**5/2 + 33*f**4/2 + 141*f**3/2 + 291*f**2/2 + 144*f + 54 = 0. Calculate f. -3, -2, -1 Factor 4*w**2 - 12896*w + 10394176. 4*(w - 1612)**2 Factor -a**2/6 + 55*a/3 - 107/2. -(a - 107)*(a - 3)/6 Determine g so that -6*g**4/13 + 316*g**3/13 - 1778*g**2/13 - 2836*g/13 - 736/13 = 0. -1, -1/3, 8, 46 Factor -31*v**2/3 + 800*v/3 + 52. -(v - 26)*(31*v + 6)/3 Let 5*k**4/4 + 35*k**3/4 + 55*k**2/4 - 35*k/4 - 15 = 0. What is k? -4, -3, -1, 1 What is d in 14*d**5/13 - 990*d**4/13 + 4448*d**3/13 - 6096*d**2/13 + 1568*d/13 + 1056/13 = 0? -2/7, 1, 2, 66 Solve 3*z**4 + 327*z**3/4 + 69*z**2/4 - 327*z/4 - 81/4 = 0 for z. -27, -1, -1/4, 1 Solve 2*s**2 + 4712*s + 2775368 = 0 for s. -1178 Find t such that -t**2 + 869*t - 868 = 0. 1, 868 Suppose 2*s**2 - 448*s + 1760 = 0. Calculate s. 4, 220 Find h such that 3*h**4/10 + 19*h**3/10 - 3*h**2/5 - 38*h/5 - 12/5 = 0. -6, -2, -1/3, 2 Determine c, given that 2*c**5/17 - 2*c**3 - 72*c**2/17 - 40*c/17 = 0. -2, -1, 0, 5 Factor 5*h**4 + 15*h**3 - 20*h**2 - 60*h. 5*h*(h - 2)*(h + 2)*(h + 3) Determine o so that 3*o**3 + 153*o**2 - 27*o - 1377 = 0. -51, -3, 3 Let 34*p**5/9 - 26*p**4 + 278*p**3/9 + 274*p**2/9 - 104*p/3 - 40/9 = 0. What is p? -1, -2/17, 1, 2, 5 Determine x, given that -8*x**4/9 - 28*x**3/9 - 16*x**2/9 + 28*x/9 + 8/3 = 0. -2, -3/2, -1, 1 Factor 5*u**2/6 + 5*u/2 - 90. 5*(u - 9)*(u + 12)/6 Factor -4*q**2 + 152*q + 156. -4*(q - 39)*(q + 1) Factor 43*j**5/3 + 2*j**4/3. j**4*(43*j + 2)/3 Suppose 2*k**3 - 48*k**2 - 102*k - 52 = 0. Calculate k. -1, 26 Suppose -z**3/2 + 29*z**2/4 + 47*z/4 + 4 = 0. What is z? -1, -1/2, 16 Factor -x**4/2 + 13*x**3/2 + 19*x**2/2 - 73*x/2 + 21. -(x - 14)*(x - 1)**2*(x + 3)/2 Factor h**2 - 18*h + 81. (h - 9)**2 Let -r**3/7 - 5*r**2/7 - r - 3/7 = 0. Calculate r. -3, -1 Find x, given that -x**3/4 + 7*x/4 + 3/2 = 0. -2, -1, 3 Determine v so that -3*v**5/7 + 33*v**4/7 - 129*v**3/7 + 207*v**2/7 - 108*v/7 = 0. 0, 1, 3, 4 Factor y**5 + 9*y**4 + 18*y**3 - 4*y**2 - 24*y. y*(y - 1)*(y + 2)**2*(y + 6) Factor -2*a**4 + 36*a**3 - 194*a**2 + 288*a - 128. -2*(a - 8)**2*(a - 1)**2 Factor -s**4 - 3*s**3 + 418*s**2. -s**2*(s - 19)*(s + 22) Factor j**4/2 + 19*j**3 + 180*j**2 + 413*j - 1225/2. (j - 1)*(j + 7)**2*(j + 25)/2 What is k in 7*k**2/8 - 101*k/2 - 29/2 = 0? -2/7, 58 Determine a so that 5*a**4 + 4590*a**3 + 1048805*a**2 - 2111400*a + 1058000 = 0. -460, 1 Let -2*h**4 + 888*h**3/5 - 1572*h**2/5 + 104*h + 174/5 = 0. Calculate h. -1/5, 1, 87 Determine m so that -3*m**3 - 93*m**2 + 3*m + 93 = 0. -31, -1, 1 Let 25*o**4 - 160*o**3 - 1740*o**2 + 720*o = 0. Calculate o. -6, 0, 2/5, 12 Solve 3*z**5/4 - 15*z**4/2 + 15*z**3 + 15*z**2/2 - 63*z/4 = 0 for z. -1, 0, 1, 3, 7 Let -n**4 + 20*n**3 - 150*n**2 + 500*n - 625 = 0. Calculate n. 5 Suppose 3*v**4/2 - 9*v**3 - 12*v**2 + 9*v + 21/2 = 0. What is v? -1, 1, 7 Find l, given that -4*l**2 + 2888*l - 2884 = 0. 1, 721 Suppose 98*v**5/3 + 1960*v**4/3 - 4222*v**3/3 + 1996*v**2/3 + 344*v/3 - 176/3 = 0. What is v? -22, -2/7, 2/7, 1 Determine v so that v**5/2 + 19*v**4/8 - 33*v**3/8 - 109*v**2/8 + 149*v/8 - 15/4 = 0. -5, -3, 1/4, 1, 2 Solve p**3/6 - 5*p**2/6 - p = 0. -1, 0, 6 Find m such that -9*m**3/2 - 242*m**2 + 558*m - 112 = 0. -56, 2/9, 2 Solve h**3/10 - 219*h**2/10 = 0 for h. 0, 219 Let -5*f**4 + 105*f**3 + 360*f**2 + 20*f - 480 = 0. Calculate f. -2, 1, 24 Solve 27*o**5/2 - 81*o**4/2 + 27*o**3/2 + 77*o**2/2 - 25*o + 4 = 0. -1, 1/3, 4/3, 2 Find k such that 5*k**2 + 5225*k - 15720 = 0. -1048, 3 Find c such that 3*c**2/7 - 54*c/7 + 96/7 = 0. 2, 16 Find l, given that -l**2 - 934*l - 218089 = 0. -467 Factor 7*n**4 + 2*n**3 - 28*n**2 - 8*n. n*(n - 2)*(n + 2)*(7*n + 2) Factor 3*a**4/5 - 42*a**3/5 + 171*a**2/5 - 108*a/5 - 324/5. 3*(a - 6)**2*(a - 3)*(a + 1)/5 Determine j so that 25*j**3/8 + 3055*j**2/8 - 307*j + 123/2 = 0. -123, 2/5 Find n such that 3*n**4 + 225*n**3 + 1269*n**2 + 1863*n = 0. -69, -3, 0 Suppose x**3 - 18*x**2 + 45*x = 0. What is x? 0, 3, 15 Solve 8*y**4/5 + 14*y**3/5 + 4*y**2/5 - 2*y/5 = 0. -1, 0, 1/4 Solve -2*d**4/9 - 38*d**3/9 - 190*d**2/9 - 274*d/9 - 40/3 = 0. -12, -5, -1 Find u, given that 4*u**2 - 564*u + 560 = 0. 1, 140 Factor -u**3 + 34*u**2/3 - 65*u/3 + 6. -(u - 9)*(u - 2)*(3*u - 1)/3 Factor 3*j**3 + 561*j**2 - 1143*j - 1701. 3*(j - 3)*(j + 1)*(j + 189) Factor 3*c**4 - 12*c**3. 3*c**3*(c - 4) What is h in h**2 + 65*h + 64 = 0? -64, -1 Determine c, given that 25*c**5 + 70*c**4 - 536*c**3 - 464*c**2 + 4048*c - 3872 = 0. -22/5, 2 Solve b**4 + 28*b**3 + 173*b**2 + 266*b + 120 = 0. -20, -6, -1 Factor -2*o**2/25 - 46*o/25 + 48/25. -2*(o - 1)*(o + 24)/25 What is j in 3*j**5/2 - 3*j**3 + 3*j/2 = 0? -1, 0, 1 What is d in d**3 - 124*d**2 - 125*d = 0? -1, 0, 125 Find r such that 36*r**4 - 80*r**3 - 1028*r**2 - 1280*r + 336 = 0. -3, -2, 2/9, 7 Determine q, given that 2*q**4/7 - 146*q**3/7 - 300*q**2/7 = 0. -2, 0, 75 Factor u**3/7 - 6*u**2 - 283*u/7 - 240/7. (u - 48)*(u + 1)*(u + 5)/7 Factor -3*m**3/5 + 321*m**2/5 + 3*m/5 - 321/5. -3*(m - 107)*(m - 1)*(m + 1)/5 Solve -3*n**5/4 - 33*n**4/4 - 36*n**3 - 78*n**2 - 84*n - 36 = 0. -3, -2 Find z such that 14*z**5/9 + 290*z**4/9 - 350*z**3/3 + 1270*z**2/9 - 620*z/9 + 32/3 = 0. -24, 2/7, 1 Solve -3*j**4 - 72*j**3 + 3*j**2 + 72*j = 0. -24, -1, 0, 1 Factor 3*i**4/2 + 9*i**3 - 36*i**2 + 39*i - 27/2. 3*(i - 1)**3*(i + 9)/2 Let -3*d**5 - 17*d**4 - 37*d**3 - 39*d**2 - 20*d - 4 = 0. What is d? -2, -1, -2/3 Determine g so that -5*g**3/6 - 1055*g**2/6 + 5*g/6 + 1055/6 = 0. -211, -1, 1 Suppose 18*r**2/7 + 3588*r/7 + 178802/7 = 0. What is r? -299/3 Let -22*o**5/5 + 246*o**4/5 - 638*o**3/5 + 658*o**2/5 - 276*o/5 + 32/5 = 0. Calculate o. 2/11, 1, 8 Factor -8*z**3/3 + 2*z**2 + 6*z + 4/3. -2*(z - 2)*(z + 1)*(4*z + 1)/3 Suppose 8*c**5/7 + 398*c**4/7 + 4484*c**3/7 - 11546*c**2/7 + 1144*c - 1352/7 = 0. Calculate c. -26, 1/4, 1 Factor -z**2/8 - 121*z/8 + 112. -(z - 7)*(z + 128)/8 Determine c so that 75*c**5 + 545*c**4 - 430*c**3 + 80*c**2 = 0. -8, 0, 1/3, 2/5 Let 4*d**4 - 8*d**3 - 4*d**2 + 8*d = 0. What is d? -1, 0, 1, 2 Suppose -g**3/8 - 29*g**2/4 + 119*g/8 - 15/2 = 0. Calculate g. -60, 1 Find d, given that 64*d**3/3 + 1376*d**2/3 + 676*d/3 + 28 = 0. -21, -1/4 Factor -5*i**2/3 - 75*i + 2120/3. -5*(i - 8)*(i + 53)/3 Factor -26*n**2/5 - 1096*n/5 - 168/5. -2*(n + 42)*(13*n + 2)/5 Factor 2*r**3/19 - 42*r**2/19 + 78*r/19 - 2. 2*(r - 19)*(r - 1)**2/19 Factor 5*y**3 - 4495*y**2 + 4490*y. 5*y*(y - 898)*(y - 1) Suppose b**5/2 + 9*b**4/2 + 29*b**3/2 + 39*b**2/2 + 9*b = 0. What is b? -3, -2, -1, 0 Factor -p**3/2 + 4*p**2. -p**2*(p - 8)/2 Determine i, given that 132*i**5 + 32*i**4 - 224*i**3 - 24*i**2 + 92*i - 8 = 0. -1, 1/11, 2/3, 1 What is x in 30*x**4 + 164*x**3 - 654*x**2 - 356*x + 96 = 0? -8, -2/3, 1/5, 3 Find f, given that -3*f**2/5 + 216*f/5 = 0. 0,
{ "pile_set_name": "DM Mathematics" }
18 Let q(n) = -n**3 + 7*n**2 + 6*n - 5. Suppose 11*y = 16*y - 25. Let u be q(y). Calculate the highest common factor of 25 and u. 25 Suppose -3*v - 38 = 1. Let f = v + 28. Suppose 8*d + 105 = f*d. What is the highest common divisor of d and 30? 15 Let b be 285 + 4 + (-14 - -21). What is the highest common factor of b and 3108? 148 Let l(o) = 23*o**2 + 143*o + 1172. Let p be l(-9). What is the greatest common divisor of 276 and p? 92 Let g be ((-112)/(-252) - (-22)/(-9)) + 0. Let l be (-2)/(-4) + g/((-4)/71). Calculate the greatest common factor of 126 and l. 18 Suppose 830 + 87 = -7*l. Let f = -66 - l. What is the greatest common factor of 39 and f? 13 Suppose -2*g + 3096 = c, 5*c + 327*g - 324*g - 15522 = 0. What is the highest common factor of 592 and c? 148 Let u be (-243)/(-5) - (-171)/(-285). Calculate the highest common factor of u and 352. 16 Let s = 172 + -48. Suppose 0 = -4*x + 3*w + 396, 3*w = 86*x - 95*x + 813. Calculate the highest common divisor of x and s. 31 Let j be 24*(0 - -76)*150/30. Calculate the greatest common divisor of j and 95. 95 Let w(p) = 2*p**2 + 6*p - 8. Suppose 0 = -4*x - 2*i + 54, -1 = -i + 2. Let z = x + -17. Let y be w(z). Calculate the highest common divisor of 60 and y. 12 Let h(a) = -a**2 + 41*a - 133. Let x be h(14). Calculate the greatest common divisor of 455 and x. 35 Let n = 7036 - 7012. Calculate the greatest common factor of 132 and n. 12 Let d(v) = -3*v**3 + 4*v**2 + 3*v + 4. Let c(x) = x + 14. Let l be c(-17). Let f be d(l). Let y = f + -27. Calculate the highest common divisor of 17 and y. 17 Let t = -113 + 113. Suppose t = -2*y + 3*v + 83, 0 = -y - 13*v + 11*v + 24. What is the highest common divisor of 2 and y? 2 Let y = 60 - -230. Let m = -101 - -111. What is the highest common divisor of y and m? 10 Let m(n) = -n**3 + 25*n**2 - 144*n + 24. Let g be m(15). Let d be (14/4)/(g/39672). What is the greatest common divisor of d and 42? 42 Let k be (1 + 1)/((-8)/(-17901)) + 217/(-868). What is the highest common divisor of 75 and k? 25 Let l = 821 - 820. Let y = -22 - -38. What is the greatest common divisor of y and l? 1 Let l = -47 - -54. Let c be (1 + -8)*-2*100/8. Calculate the highest common factor of l and c. 7 Suppose -4*f + 1812 = -4*t, -12*f + 2*t = -14*f + 914. Let a = f - 453. Calculate the greatest common divisor of a and 70. 2 Suppose -5*s - 3*d - 432 = -9*s, -5*d = 0. Calculate the highest common divisor of 2322 and s. 54 Let j(a) = -177*a - 7705. Let l be j(-45). Calculate the highest common divisor of 2340 and l. 260 Suppose 39*h - 380 = 13*h + 36. What is the greatest common factor of 1 and h? 1 Let h = -3251 - -3332. Calculate the highest common divisor of 126 and h. 9 Suppose -73 = -3*p - 2*k, -2*p - k - 21 = -3*p. Suppose -4*s = -p*s + 171. Calculate the greatest common divisor of 4 and s. 1 Let s(d) = 36*d - 53. Let a be s(8). Suppose -163 + 53 = -22*v. Calculate the highest common factor of a and v. 5 Let l be ((-4)/8)/((-2)/48) + -7. Suppose k - 2*q - 89 = -0*k, -273 = -3*k + 4*q. Calculate the highest common divisor of l and k. 5 Let r = 4739 - 4579. Calculate the greatest common divisor of r and 2070. 10 Let x(f) be the third derivative of -3*f**3 - 21*f**2 + 1/4*f**4 + 0*f + 0. Let y be x(7). Calculate the highest common factor of 18 and y. 6 Suppose -10 = -4*s + 6. Let o(l) = -6 + 363*l**3 - 559*l**3 + 195*l**3 + 5*l**2. Let y be o(s). What is the greatest common divisor of 25 and y? 5 Let s = 9264 + -9203. What is the greatest common divisor of s and 183? 61 Suppose z + 6 = 0, 0 = -31*g + 29*g + 4*z + 36. Calculate the greatest common factor of 6414 and g. 6 Let o(s) = -1296*s - 1297*s + 2588*s + 107. Let v be o(10). Let a be 55/3 + 2/3. Calculate the greatest common factor of a and v. 19 Let n be (7 + -1 + 39/(-9))/(3/711). Calculate the greatest common factor of n and 948. 79 Let v = 70 + -47. Let t be (-900)/153 - -6 - (-5)/(-170)*-778. Calculate the greatest common divisor of v and t. 23 Suppose 0 = -43*g + 75 + 742. What is the highest common factor of 31 and g? 1 Suppose 0 = 3*p - 131 - 16. Let d(v) = v**3 - 35*v**2 + 312*v - 18. Let n be d(17). What is the greatest common factor of p and n? 7 Let d(k) = 145*k**2 + k. Let y be d(-1). Let u = -3045 - -3141. What is the highest common factor of u and y? 48 Suppose -23*n + 85 = -299 - 53. Calculate the highest common divisor of 5168 and n. 19 Let g be (0 + 11554)/(1/30*60). Calculate the highest common divisor of 371 and g. 53 Let c(q) = 2*q**2 - 20*q - 4. Let o be c(12). Suppose 0 = -13*b + 47 + o. Suppose -k + b*k = 264. Calculate the greatest common factor of k and 4. 4 Let h(a) = -25*a**3 - 5*a**2 + 8*a + 15. Let b be h(-3). Calculate the greatest common factor of 276 and b. 69 Let c = 372 - 391. Let z be (c/(-57))/((-4)/(-1020)). Calculate the highest common divisor of 221 and z. 17 Suppose 5*c + 2185 = -5*o + 2*o, 0 = -3*o - 15. Suppose 5*f - 4*f = -298. Let i = f - c. What is the greatest common factor of 34 and i? 34 Let x(p) = p**2 - 13*p - 99. Let a be x(18). Let i be 93*(-6 - 57/a). Let m = 39 - 8. What is the greatest common factor of m and i? 31 Let d = -277 - -584. Let v = d - 299. Calculate the highest common divisor of v and 6. 2 Let q = 307 + -304. Suppose 0 = -m - 2*r + 6*r + 103, -2*m + 195 = q*r. What is the highest common divisor of 22 and m? 11 Let q be ((-3)/4)/(63/(-2352)). Calculate the highest common factor of 875 and q. 7 Let a be 13580 + 21 - (-2 - (-5)/(-3 + -2)). Calculate the greatest common factor of 76 and a. 76 Let c(y) = 147*y**2 + 1752*y + 10. Let v be c(-12). Calculate the highest common factor of 49 and v. 7 Let c = -18 - -32. Suppose -5*x + c = -86. Suppose 94 = 2*j - 2*f, 0 = 4*j + 18*f - 14*f - 212. Calculate the greatest common factor of x and j. 10 Let n be 22/4 - 3/(-6). Suppose -h + n*h = 50. Let o = -7991 + 8071. Calculate the greatest common factor of h and o. 10 Let s(j) = -24*j + 8. Let t be s(-3). Let v be 1010/12 + 12/(-72). Suppose 2*n = -n + 4*r + v, 4*n = -r + 131. Calculate the greatest common divisor of n and t. 16 Let k = -64 + 67. Suppose -22*q + k*o = -23*q + 116, 3*q - 336 = -3*o. Calculate the highest common factor of q and 30. 10 Let f be 81/(-2) - 25/(-50). Let x be (-410)/f*(4 + 0). What is the greatest common factor of x and 328? 41 Suppose 812 = 14*r - 5348. Suppose r = 9*s - 20*s. Let d = -16 - s. Calculate the greatest common divisor of d and 72. 24 Suppose 27*g = 17 + 901. Calculate the highest common divisor of g and 238. 34 Let f be (-260)/8 - 2/4. Let a be f/12 + 3 + 782/8. Suppose 110 = 103*r - a*r. What is the highest common factor of 77 and r? 11 Suppose -3*k = -24*k + 19320. Let d = 1453 - k. Calculate the greatest common factor of d and 13. 13 Let a be -3 + (-6 + 81 - -4). Suppose -2*x + 11 = 3. What is the greatest common divisor of x and a? 4 Let m = -180 - -183. Suppose 2*p + 2*p = g, g = m*p + 1. Calculate the greatest common factor of 9 and p. 1 Suppose 0 = 3*q - s - 1 - 10, -5*s = 2*q + 21. Suppose 0 = -q*d + 1 + 23. Suppose -d*m - 252 = -13*m. Calculate the highest common factor of 28 and m. 28 Let o(p) = 18*p + 936. Let h be o(-51). Calculate the highest common divisor of h and 477. 9 Let i be (-2 - (0 - -1))*(18 - 19). Let s be (-10)/((i - 144/(-76)) + -5). What is the greatest common divisor of s and 380? 95 Let a(y) = y**3 - 2*y**2 - y - 4. Let z be a(3). Let f be (-2 - (1 - z)) + 5. Suppose -14*b + 4*b = -40. Calculate the greatest common factor of f and b. 4 Suppose 4*m - 754 = -2*p, 3*p - 196 = -2*m + 179. Let w be (-1)/((-4)/16) + -27. Let b = w - -44. Calculate the highest common divisor of b and m. 21 Let m = 7691 - 5754. Calculate the highest common divisor of 13 and m. 13 Suppose -13 = 4*z - 17. Let x be (z + 1)/((-8)/(-12)). Suppose -4*g + x*a = -159, -2*a + 106 = 4*g - 28. Calculate the greatest common divisor of 54 and g. 18 Suppose -2*d - 10 = -v + 3, 2*d = -8. Suppose -10 + 660 = v*r. What is the greatest common factor of 26 and r? 26 Let n(u) = 342*u + 171. Let i be n(-15). Let a be (-3)/(-8) + i/(-152). Calculate the highest common divisor of a and 11. 11 Suppose -2*d + 973 = -3*r - 32, 0 = -5*d - 3*r + 2544. Calculate the highest common divisor of 52 and d. 13 Suppose 11*y - 33*y + 704 = 0. Let o(b) = -b**3 + 32
{ "pile_set_name": "DM Mathematics" }
f - 1293732 = 0. -33, -9, -1 Factor x**2/5 - x/5 - 12/5. (x - 4)*(x + 3)/5 Find i, given that 5*i**5 - 70*i**4 + 360*i**3 - 880*i**2 + 1040*i - 480 = 0. 2, 6 Factor 3*n**4 + 39*n**3 + 141*n**2 + 177*n + 72. 3*(n + 1)**2*(n + 3)*(n + 8) Factor 290*z**2/9 + 32*z/3 - 8/9. 2*(5*z + 2)*(29*z - 2)/9 Let 2*t**3 - 34*t**2 + 120*t = 0. Calculate t. 0, 5, 12 Solve j**4/5 + 13*j**3/5 - 34*j**2/5 - 116*j + 120 = 0 for j. -10, 1, 6 Solve 4*v**4/5 - 2*v**3 - 462*v**2/5 - 212*v - 416/5 = 0. -8, -2, -1/2, 13 What is r in 2*r**2 - 3380*r + 6752 = 0? 2, 1688 Determine o, given that 3*o**4 - 7*o**3 - o**2 + 7*o - 2 = 0. -1, 1/3, 1, 2 Suppose l**3 - 74*l**2 - 77*l + 150 = 0. What is l? -2, 1, 75 Factor l**3/2 - 5*l**2 - 43*l/2 + 26. (l - 13)*(l - 1)*(l + 4)/2 Factor -2*j**3/9 + 446*j**2/9 + 2*j/9 - 446/9. -2*(j - 223)*(j - 1)*(j + 1)/9 Factor 4*z**2 - 26584*z + 44169316. 4*(z - 3323)**2 Determine f so that -f**5/2 - 11*f**4/2 + 5*f**3/2 + 487*f**2/2 + 1060*f + 1400 = 0. -5, -4, 7 Suppose 2*c**4/7 + 2*c**3 + 8*c**2/7 - 24*c/7 = 0. What is c? -6, -2, 0, 1 Factor 2*g**2/13 + 5576*g/13 + 3886472/13. 2*(g + 1394)**2/13 Factor 3*b**3/4 - 3*b**2/2 - 3*b/4 + 3/2. 3*(b - 2)*(b - 1)*(b + 1)/4 Factor 2*j**3/5 + 16*j**2/5 - 8*j/5 - 64/5. 2*(j - 2)*(j + 2)*(j + 8)/5 Factor 4*b**2/5 - 3208*b/5 - 3212/5. 4*(b - 803)*(b + 1)/5 Suppose 2*r**3 + 4*r**2 = 0. What is r? -2, 0 Factor 2*v**3/13 + 610*v**2/13 + 2416*v/13 + 2408/13. 2*(v + 2)**2*(v + 301)/13 Factor -3*w**4 - 45*w**3 - 27*w**2 + 201*w - 126. -3*(w - 1)**2*(w + 3)*(w + 14) Factor -2*w**4/11 + 12*w**3/11 + 14*w**2/11. -2*w**2*(w - 7)*(w + 1)/11 Factor -o**2 + 9. -(o - 3)*(o + 3) Factor -20*l**3/3 + 5*l**2/3 + 80*l/3 - 20/3. -5*(l - 2)*(l + 2)*(4*l - 1)/3 Solve -6*x**4 + 68*x**3 - 82*x**2 + 20*x = 0. 0, 1/3, 1, 10 Solve -6*b**5/7 - 30*b**4/7 = 0 for b. -5, 0 Factor -2*w**4/9 - 56*w**3/9 - 524*w**2/9 - 616*w/3 - 242. -2*(w + 3)**2*(w + 11)**2/9 Determine d, given that 12*d**4 - 116*d**3 - 48*d**2 + 80*d = 0. -1, 0, 2/3, 10 Factor -2*l**2/5 - 14*l + 72/5. -2*(l - 1)*(l + 36)/5 Solve -6*o**2/5 + 84*o/5 + 18 = 0 for o. -1, 15 Determine r so that 2*r**5 + 2*r**4 - 30*r**3 - 18*r**2 + 108*r = 0. -3, 0, 2, 3 Find c, given that -2*c**5/7 + 24*c**4/7 + 152*c**3/7 - 1436*c**2/7 - 4950*c/7 - 484 = 0. -7, -2, -1, 11 Determine u, given that 8*u**4 + 27*u**3 + 9*u**2 - 32*u - 12 = 0. -2, -3/8, 1 Factor 2*q**5 - 250*q**4 + 10580*q**3 - 158260*q**2 + 285770*q - 137842. 2*(q - 41)**3*(q - 1)**2 Determine a, given that 6*a**4 + 237*a**3 + 558*a**2 + 105*a - 222 = 0. -37, -2, -1, 1/2 Suppose 10*u**3/3 + 24*u**2 + 14*u/3 = 0. Calculate u. -7, -1/5, 0 Solve -4*x**4 + 72*x**3 - 132*x**2 + 64*x = 0 for x. 0, 1, 16 Solve 72*n**4/13 - 264*n**3/13 - 238*n**2/13 + 1156*n/13 = 0 for n. -2, 0, 17/6 Factor -2*v**3/11 - 1254*v**2 - 2882946*v - 2209297618. -2*(v + 2299)**3/11 Determine v, given that -2*v**2/9 + 190*v/9 = 0. 0, 95 Solve j**3/2 - 53*j**2 = 0 for j. 0, 106 Let -2*t**3 - 42*t**2 + 92*t = 0. Calculate t. -23, 0, 2 Factor 2*l**5 - 414*l**4 + 28564*l**3 - 656604*l**2 - 28566*l + 657018. 2*(l - 69)**3*(l - 1)*(l + 1) Find z, given that 2*z**4/7 - 2*z**3 - 42*z**2 + 490*z - 1372 = 0. -14, 7 Factor -4*m**2 - 80*m + 84. -4*(m - 1)*(m + 21) Determine c so that -2*c**2 - 2212*c - 2210 = 0. -1105, -1 Find m, given that m**3 - 37*m**2 + 323*m + 361 = 0. -1, 19 Factor 3*n**2 - 5094*n + 2162403. 3*(n - 849)**2 Find r such that -r**5/8 - 9*r**4/8 - r**3 = 0. -8, -1, 0 Solve -d**2/4 + 293*d/2 - 85849/4 = 0. 293 What is u in 2*u**3/7 - 16*u**2/7 + 2*u = 0? 0, 1, 7 Factor -c**4 - 3*c**3 + 9*c**2 + 27*c. -c*(c - 3)*(c + 3)**2 Factor -2*j**5 - 58*j**4 - 108*j**3. -2*j**3*(j + 2)*(j + 27) Factor -c**2/4 + 183*c/4 - 91/2. -(c - 182)*(c - 1)/4 Suppose -w**4/8 - 11*w**3/4 + 23*w**2/8 = 0. Calculate w. -23, 0, 1 Find c, given that 2*c**5/11 - 24*c**3/11 - 4*c**2/11 + 54*c/11 + 36/11 = 0. -3, -1, 2, 3 Let -12*x**4 - 14*x**3 + 58*x**2 - 26*x - 6 = 0. What is x? -3, -1/6, 1 Factor -2*m**3/5 + 368*m**2/5 + 742*m/5 + 372/5. -2*(m - 186)*(m + 1)**2/5 What is x in -11*x**2 - 38*x = 0? -38/11, 0 Find m such that -4*m**5 - 84*m**4 - 684*m**3 - 2700*m**2 - 5184*m - 3888 = 0. -6, -3 Determine a so that -10*a**5 + 44*a**4 + 34*a**3 - 20*a**2 = 0. -1, 0, 2/5, 5 Factor 5*p**2 + 21195*p + 21190. 5*(p + 1)*(p + 4238) Factor -3*c**5 + 9*c**4 + 45*c**3 + 51*c**2 + 18*c. -3*c*(c - 6)*(c + 1)**3 Factor p**2 - 31*p. p*(p - 31) Factor 2*z**2/9 + 33680*z/9 + 141792800/9. 2*(z + 8420)**2/9 Factor -2*n**3/13 - 12*n**2/13 - 10*n/13 + 24/13. -2*(n - 1)*(n + 3)*(n + 4)/13 Solve 4*j**3 - 196*j**2 + 736*j - 720 = 0. 2, 45 Factor -1014*m**3/7 - 1079*m**2/7 - 176*m/7 + 64/7. -(6*m - 1)*(13*m + 8)**2/7 Factor -3*k**4/5 - 33*k**3/5 - 108*k**2/5 - 108*k/5. -3*k*(k + 2)*(k + 3)*(k + 6)/5 Factor -2*a**2 - 4*a + 16. -2*(a - 2)*(a + 4) Factor 2*o**2/17 + 15340*o/17 + 29414450/17. 2*(o + 3835)**2/17 Factor 4*z**3 + 40*z**2 - 44*z. 4*z*(z - 1)*(z + 11) Let 3*y**2/5 + 3*y - 42/5 = 0. What is y? -7, 2 Solve -4*d**2 - 628*d + 632 = 0 for d. -158, 1 Factor -3*z**3/2 - 3591*z**2/2 - 1079973*z/2 - 3207681/2. -3*(z + 3)*(z + 597)**2/2 Factor x**3/2 - 2*x**2 - 91*x/2 + 245. (x - 7)**2*(x + 10)/2 Factor 2*x**2/5 + 2034*x/5 - 4076/5. 2*(x - 2)*(x + 1019)/5 Determine x, given that x**3 - 13*x**2 - 4*x + 52 = 0. -2, 2, 13 Solve 108*d**2/7 - 1980*d/7 + 9075/7 = 0. 55/6 Factor 5*l**3/6 - 55*l**2/6. 5*l**2*(l - 11)/6 Solve s**4 + 5*s**3 - 22*s**2 - 56*s = 0. -7, -2, 0, 4 Factor 3*f**4 + 3*f**3 - 30*f**2 + 24*f. 3*f*(f - 2)*(f - 1)*(f + 4) Determine p, given that -2*p**5/3 + 5*p**4/6 - p**3/6 = 0. 0, 1/4, 1 Factor -3*q**5 - 18*q**4 - 27*q**3 - 12*q**2. -3*q**2*(q + 1)**2*(q + 4) Solve -u**2/3 + 721*u + 2164/3 = 0. -1, 2164 Determine s so that 2*s**5/7 + 44*s**4/7 + 176*s**3/7 + 92*s**2/7 - 178*s/7 - 136/7 = 0. -17, -4, -1, 1 Factor 12716*i**3 - 9792*i**2 + 2460*i - 200. 4*(11*i - 2)*(17*i - 5)**2 Solve -108*a**5 - 1404*a**4 - 5112*a**3 - 6800*a**2 - 3808*a - 768 = 0 for a. -8, -3, -2/3 Factor -2*s**2/7 - 62*s/7 - 60/7. -2*(s + 1)*(s + 30)/7 Factor 2*r**5/17 - 4*r**4/17 + 4*r**2/17 - 2*r/17. 2*r*(r - 1)**3*(r + 1)/17 Solve -3*o**2 + 165*o + 342 = 0 for o. -2, 57 Determine m so that -2*m**3/5 - 244*m**2/15 - 394*m/15 - 52/5 = 0. -39, -1, -2/3 Let 4*l**4 + 24*l**3 + 28*l**2 - 24*l - 32 = 0. What is l? -4, -2, -1, 1 Factor -2*i**4 - 12*i**3 - 24*i**2 - 16*i. -2*i*(i + 2)**3 Factor -4*u**2 - 1680*u + 5076. -4*(u - 3)*(u + 423) Find o such that 2*o**5 + 130*o**4 - 540*o**3 + 820*o**2 - 550*o + 138 = 0. -69, 1 Determine g, given that -2*g**3/7 - 382*g**2/7 - 18430*g/7 - 18050/7 = 0. -95, -1 Find b such that -b**4 - b**3 + 7*b**2 + b - 6 = 0. -3, -1, 1, 2 Factor 2*x**2 + 80*x + 800. 2*(x + 20)**2 Factor 8*a**4 - 52*a**3 + 60*a**2 + 4*a - 20. 4*(a - 5)*(a - 1)**2*(2*a + 1) Factor -3*m**2 + 36*m + 135. -3*(m - 15)*(m + 3) Solve -4*y**4 - 580*y**3 + 1172*y**2 - 588*y = 0. -147, 0, 1 Factor 9522*t**3 + 37536*t**2 - 2200*t + 32. 2*(t + 4)*(69*t - 2)**2 Solve 2*d**5/5 + 2*d**4/5 - 6*d**3/5 - 2*d**2/5 + 4*d/5 = 0. -2, -1, 0, 1 Factor -4*j**5 + 436*j**3 + 2672*j**2 + 5568*j + 3328. -4*(j - 13)*(j + 1)*(j + 4)**3 Factor -2*h**4/3 - 2564*h**3/3 - 821762*h**2/3. -2*h**2*(h + 641)**2/3 Factor -n**3/6 + 135*n**2/2 - 18225*n/2 + 820125/2. -(n - 135)**3/6 What is t in -2*t**2 + 32*t - 30 = 0? 1, 15 Factor z**2/8 - 233*z - 933/2. (z - 1866)*(z + 2)/8 Suppose 6*n**5/11 - 34*n**4/11 + 68*n**3/11 - 56*n**2/11 + 16*n/11 = 0. What is n? 0, 2/3, 1, 2 Determine w so that -2*w**3 - 44*w**2 - 306*w - 648 = 0. -9, -4 Find r, given that 14*r**2 + 60*r - 50 = 0. -5, 5/7 Factor 2*g**4 + 22*g**3 + 84*g**2 + 128*g + 64. 2*(g + 1)*(g + 2)*(g + 4)**2 Solve 5*u**2 + 100*u + 255 = 0 for u. -17, -3 Factor -4*s**3 - 1004*s**2. -4*s**2*(s + 251) Suppose h**2/2 + 19*h/2 + 9 = 0. What is h? -18, -1 Suppose k**3 + 5*k**2 - 6*k = 0. Calculate k. -6, 0, 1 Let -4*h**4 + 16*h**3 + 2328*h**2 + 17264*h - 19604 = 0. What is h? -13, 1, 29 Suppose -3*b**2 + 18*b + 48 = 0. Calculate b. -2, 8 Let 4*t**2/7 - 512*t/7 + 16384/7 = 0. What is t? 64 Factor -f**2/2 - 2*f - 3/2. -(f + 1)*(f + 3)/2 Factor -12*c**3 + 824*c**2 + 284*c - 552. -4*(c - 69)*(c + 1)*(3*c - 2) Factor 2*f**2/15 + 4928*f/5 + 9106944/5. 2*(f + 3696)**2/15 Factor o**2/4 - 3737*o/4 + 934. (o - 3736)*(o - 1)/4 Fact
{ "pile_set_name": "DM Mathematics" }
/8. Let w = r + 13. Calculate the remainder when z(2) is divided by w. 1 Let o = -28 - -47. What is the remainder when 56 is divided by o? 18 Let j = -39 + 70. What is the remainder when 121 is divided by j? 28 Suppose 0*a = -5*a + 20, 0 = -4*l + 4*a + 16. Calculate the remainder when 21 is divided by l. 5 Let o be ((-10)/(-4))/((-16)/(-32)). Let b = o - -1. Calculate the remainder when 22 is divided by b. 4 Let l(t) = t**2 - 8*t + 4. Let b be 4/(-10) + (-57)/(-5). Suppose 3*o - b = -q + 11, -2*q + 3*o = -53. Calculate the remainder when q is divided by l(9). 12 Let c(k) = 0 - 6 - 17*k + 8. What is the remainder when c(-1) is divided by 10? 9 Suppose 0*u - s = -4*u + 98, 4*s = -u + 33. Calculate the remainder when 72 is divided by u. 22 Let g(b) = -b**2 - 5*b - 2. Let i be g(-4). Suppose -i*j - j = -201. Calculate the remainder when j is divided by 23. 21 Let h(q) = -q**3 - 10*q**2 - 8*q + 8. What is the remainder when h(-10) is divided by 45? 43 Let s(b) = b + 49. Calculate the remainder when s(9) is divided by 15. 13 Let t(h) = -h**3 + 16*h**2 + 17*h - 12. Let r be t(17). Let j = -4 - r. Calculate the remainder when 23 is divided by j. 7 Suppose a - 13 = 6. Suppose 51 + 241 = 5*u - 4*g, 2*g - 50 = -u. What is the remainder when u is divided by a? 18 Let m be 36/(-10)*(-475)/38. Suppose 0 = 5*w + 4*i - 58, -2*w - i - m = -5*w. What is the remainder when 26 is divided by w? 12 Suppose 2*m = 16 + 52. Let i = 69 + -9. Suppose i = 8*f - 3*f. What is the remainder when m is divided by f? 10 Suppose 3*l - 4*t - 118 + 40 = 0, -5*l + 122 = -4*t. Calculate the remainder when l is divided by 12. 10 Let l(d) = d**2 - d + 25. Calculate the remainder when 73 is divided by l(0). 23 Suppose 0 = -5*i + a + 111 + 88, i + 4*a - 44 = 0. Calculate the remainder when i is divided by 7. 5 Let u = -47 - -86. Suppose 0 = -6*m + 3*m + 42. Calculate the remainder when u is divided by m. 11 Suppose -3*g - g = -20. Suppose 2*x - 3 = 23. What is the remainder when x is divided by g? 3 Let b = 127 + -190. Let i = b - -115. What is the remainder when i is divided by 14? 10 What is the remainder when 7 - -81 - (2 + 0) is divided by 11? 9 Let t(j) = j**2 - 3*j - 2. Let w be t(4). Suppose w*c + 3*d + 2 = 42, 3*d = 4*c - 62. Calculate the remainder when 33 is divided by c. 16 Suppose -6*p + 106 = -86. Calculate the remainder when 93 is divided by p. 29 Let b(n) = 66*n**2. Let d = 11 + -10. Calculate the remainder when b(d) is divided by 23. 20 Let k(p) = 60*p - 2. Calculate the remainder when k(3) is divided by 15. 13 Let z be (-1 - -1)*3/6. Let k = z - 0. Suppose k = 5*h - 12 + 2. What is the remainder when 4 is divided by h? 0 Let y = 23 - 16. What is the remainder when 25 is divided by y? 4 Suppose 8*g - 156 = 164. Calculate the remainder when g is divided by 11. 7 Let w = -3 + 2. Let r(x) = x**2 + 7*x + 9. What is the remainder when (4 - -2) + 2 + w is divided by r(-6)? 1 Let v(l) = 14*l + 3. Calculate the remainder when 64 is divided by v(1). 13 Suppose -2*t - t - 2*h = 2, 2*t - 3*h - 3 = 0. Suppose q = 4*m - 11, -2*m - 3*q + 1 - 6 = t. What is the remainder when 9 + 1*(-12)/3 is divided by m? 1 Let m(f) = 9*f**3 + f**2 + f - 1. Let b be m(1). What is the remainder when b*15/(-12)*-4 is divided by 13? 11 Suppose 3*k = k. Suppose k = y - 6*y + 30. Suppose 0 = -2*v - y + 34. Calculate the remainder when 27 is divided by v. 13 Let x(k) = -k**3 + 6*k**2 - 3*k - 5. What is the remainder when x(4) is divided by 8? 7 Let r(y) = 16*y**3 + y**2 - y. Suppose 0 + 9 = 3*x. Suppose 80 = 2*v - 4*z, 0 = 3*v - 8*z + x*z - 123. What is the remainder when v is divided by r(1)? 14 Let u(l) = 51*l**2 - 2*l + 2. Calculate the remainder when u(2) is divided by 34. 32 Suppose 3*c + 66 = 5*c + 3*n, -2*c + 5*n + 50 = 0. Calculate the remainder when 55 is divided by c. 25 Let i = -4 - -8. Let k = -9 + 5. Let l = 10 + k. Calculate the remainder when l is divided by i. 2 Let y = 71 + -25. Calculate the remainder when 227 is divided by y. 43 Let d be (-102)/(-5) + (-4)/10. Let u(w) = w**2 + 10*w - 6. Let y be u(-11). Suppose y = -n + d. What is the remainder when 28 is divided by n? 13 Let f(h) = h**2 - h + 4. Let o be f(4). Suppose 2*v + 2 = o. What is the remainder when 12 is divided by v? 5 Suppose 3*i + 5 = 4*i. Let u = i + 6. Calculate the remainder when 43 is divided by u. 10 What is the remainder when 13 is divided by (-6 - 0 - -5)/((-2)/4)? 1 Calculate the remainder when (-181)/(4/(-2) + 1) is divided by 46. 43 Let j = 22 + -16. Calculate the remainder when 16 is divided by j. 4 Let n(p) = -p**3 + 10*p**2 + 3. Let r be n(10). Suppose -k + 3*c - c = -64, r*c + 195 = 3*k. What is the remainder when k is divided by 17? 15 Suppose -6*p + 2*p = -84. Let j(s) = 2*s - 15. Let k be j(10). Calculate the remainder when p is divided by 10/k - (0 + -4). 3 Let v(i) = i**3 + 2*i + 15. Let x(p) = 2*p + 1. Let j be x(-2). What is the remainder when ((-172)/(-6))/((-2)/j) is divided by v(0)? 13 Suppose 0 = m - 2*m + 10. Let k = m + -3. Let o = 46 + k. What is the remainder when o is divided by 18? 17 Let i(l) = 72*l + 4. Calculate the remainder when i(2) is divided by 38. 34 Suppose z + 50 = -5*v, -25 = -z + 6*z. Let p(t) = -t**3 - 3*t**2 - 14. Calculate the remainder when p(-5) is divided by 1 + (4*v)/(-2). 17 Let b = 63 + 19. Calculate the remainder when b is divided by 17. 14 Suppose -4*k = -k + 4*t - 4, 2*k - 6 = -t. Suppose 5*w + 4*h - 31 = -0*h, -8 = k*w - 5*h. Suppose 4*n = -0*n + 20. What is the remainder when n is divided by w? 2 Let z = -4 + 38. What is the remainder when z is divided by 18? 16 Calculate the remainder when 33 is divided by 132/8 - (-1)/2. 16 Let m(s) = -3*s + 3. Let o be m(-5). Suppose o = 4*z - 114. Suppose 3*l + 0*l = z. What is the remainder when 21 is divided by l? 10 Let j = -21 + 34. Calculate the remainder when ((-2)/14)/1 + (-1040)/(-28) is divided by j. 11 Suppose -10 = x - 3*x, -l = x - 5. Suppose l = -n + 4*n. Suppose 2*p = -n*p + 90. What is the remainder when p is divided by 23? 22 Let t(x) = 3*x - 6. Let y(q) = 2*q**2 + 4*q + 1. Let s(p) = -p**2 + 8*p - 3. Let n be s(8). What is the remainder when t(6) is divided by y(n)? 5 Let w(k) = -k - 12. Let l be w(-14). Let d(s) = 19*s - 1. What is the remainder when d(l) is divided by 19? 18 Calculate the remainder when (32/(-20))/(0 - (-4)/(-10)) is divided by 3. 1 Suppose 3*c + 2*f - 22 - 14 = 0, -30 = -3*c - 4*f. Let d(n) = -19*n. Let g be d(-3). Let u = g + -17. Calculate the remainder when u is divided by c. 12 Let y(t) = -2*t + 2. Let h be (-9)/(-6)*(2 - 0). Suppose -h*v = -4*v + 37. What is the remainder when v is divided by y(-4)? 7 Let d(g) = -3*g - 3. Let y be d(-6). Let b = 59 + -38. Suppose 2*h - 46 = -3*a - b, -a - 4*h = -y. What is the remainder when a is divided by 4? 3 Let c(g) = -4*g - 6. Let d(z) = -9*z**2 + 1. Let n be d(-1). What is the remainder when c(n) is divided by 9? 8 Let t(r) = -r**3 - 3*r**2 - 4*r + 5. Let j(f) = f**2 + f + 1. Let h(q) = -4*j(q) + t(q). What is the remainder when 38 is divided by h(-6)? 12 Suppose -5*b = -z - 312, -3*z + 324 = -b + 6*b. What is the remainder when b is divided by 13? 11 Let w(g) = -g**3 + 3*g**2 + 5*g. Let o(f) = -f**3 + 12*f**2 + 2*f - 22. Calculate the remainder when w(4) is divided by o(12). 0 Let i be (-70)/15*(-6)/4. Suppose j + i = 27. Calculate the remainder when 57 is divided by j. 17 Suppose 2*w + 6 = -2*y - 6, w - 4*y + 6 = 0. Let o be (-45)/(-12)*(w - -2). Let c = -11 - o. What is the remainder when 10 is divided by c? 2 Let z be 26 + 1 + (1 - 3). Let i = -16 + z. Calculate the remainder when 1/(-1)*-16 - 1 is divided by i. 6 Let v(y) = y**3 - y**2 - 2*y - 3. Let r(u) = -u**2 - 7*u - 1. Let h be r(-6). Suppose -2*f + 29 = -h. Calculate the remainder when f is divided by v(3). 8 Let u = -1 - -1. Suppose -5*n + d + 81 = 16, u = 3*n - 5*d - 39. What is the remainder when n is divided by 5? 3 Let p(q) = q**2 - 7*q + 5. Let n be p(7). Suppose m = 3*i - 1, -n = -5*i + 3*m - 2*m. What is the remainder when 3 is divided by i? 1 Suppose 6 = 4*q - 3*q. What is the remainder when 26 is divided by q? 2 Let h be 0 - (3 - 6)/3. What is the remainder when 28 is divided by 4 - -3 - -3*h? 8 Suppose 4*r - 26 = 2*q, -4*r - 5*q + q = 4. Suppose 3*j - r*a - 28 = -7, 0 = 5
{ "pile_set_name": "DM Mathematics" }
8/14)/((-12)/(-42)). Let f be (x - 0 - 1)*-5. Let q(i) = i**2 - 6. Is q(f) a prime number? True Let d(m) = -4*m + 12. Let i be d(8). Let j be (-10564)/i - 2/10. Suppose -j = -4*r - 148. Is r a composite number? True Let f = -4 + 9. Suppose 18 = f*g + 8. Suppose 0 = 3*i + m - 6, m + 3 = g*i + 2*m. Is i a composite number? False Suppose 0 = 3*i - 2*i - 11. Suppose x + i = 35. Suppose 2*t - x = 14. Is t composite? False Let z(u) = 54*u - 1. Let y be z(-5). Let d = -48 - y. Is d a prime number? True Let f be 744/84 - (-1)/7. Is (-12)/8*(-282)/f prime? True Suppose 0 = -0*h + 3*h + 2943. Is h/(-11) - (-6)/(-33) a prime number? True Let p = 410 + -227. Is p prime? False Let z = 5 - 2. Suppose -5*y = z*c - 0*y - 256, 2*c + 3*y = 169. Is c prime? False Let o(d) = 7*d**2 + d. Let p be o(1). Suppose 5*z + g = 16, g + p = -g. Let v(y) = 15*y - 1. Is v(z) a prime number? True Suppose -4*t = 6 - 14. Suppose t*s + 10 = -2*l - 0*l, 4*l = 5*s + 25. Suppose 9 = 2*b + b, l = d + 3*b - 62. Is d prime? True Let g(z) = -2*z**3 + 8*z**2 - 8*z + 35. Is g(-9) prime? True Let k(l) = 5 + 4*l - 25*l - 15*l - 1. Let y be k(-4). Suppose 2*c - y = -2*c. Is c a prime number? True Let t be 8/12 - 4/6. Suppose 0 = -s + 5*r + 21, -5*s + 3*s + 4*r + 24 = t. Is s prime? False Let z(r) = 2*r**2 + 3*r - 6. Let l be z(-7). Suppose -k + 14 + l = 0. Let b = 174 - k. Is b a prime number? True Let b(t) = -81*t + 16. Is b(-7) a composite number? True Let j(r) = r**3 - 9*r**2 - 16*r - 5. Is j(12) a prime number? False Let v = 2 - -7. Suppose -2*r - 3 = -4*x - 1, -3*r = -2*x - v. Suppose -2*u + 64 = x*t - 47, -5*u - 74 = -2*t. Is t prime? True Suppose 2*p - 732 = -2*n + 1110, -p + 2*n + 915 = 0. Is p composite? False Suppose 0 = a - 3*l - 13, -2*a + 5*l = -5*a + 67. Let d be -38*a*(-3)/6. Suppose f + d = 3*u, -3*u - 2*f - f = -345. Is u prime? False Let n(g) = 5*g**2 - 10*g - 19. Let r(p) be the third derivative of -7*p**5/30 + 5*p**4/4 + 28*p**3/3 + 2*p**2. Let s(k) = 17*n(k) + 6*r(k). Is s(-10) composite? False Suppose -3*x - 20 = -x. Let p be (1 - 1 - 20)*x. Let k = -121 + p. Is k a composite number? False Suppose -2*u = -58 - 32. Let n = 70 - u. Is n a composite number? True Suppose 2*a = -2*z - 16, -4*z = -2*z - 5*a + 30. Let b = z + 15. Suppose 0 = -2*w + b*w - 39. Is w composite? False Let i = -26 - -146. Is (2 - (2 + -1)) + i composite? True Let q = -31 + 384. Is q a prime number? True Suppose 0 + 9 = 3*c. Is ((-2)/c)/(4/(-186)) prime? True Suppose -2*h + 877 = -477. Is h a prime number? True Let a = 1392 + -652. Suppose -5*h = 2*t - 303, 10*t - 5*h - a = 5*t. Is t a composite number? False Let o = -27 - -9. Is (-1 + o)/(-1)*1 composite? False Suppose -2095 = -3*v - 94. Is v a composite number? True Let g(v) = -v**3 - 6*v**2 + 6*v. Let r be g(-7). Suppose 4*p = a + r, 2*a - 1 = 4*p - 3. Let h = p + 7. Is h a prime number? False Suppose -4*w = -w - 1749. Is w a composite number? True Let o(c) = -c + 11. Let j be o(8). Let w be 41/j + (-4)/6. Let h = w - -1. Is h a composite number? True Suppose -l + 0*m + 85 = -2*m, 3*l - 5*m - 252 = 0. Is l a prime number? True Let q(x) = -x**3 - 5*x**2 - 2*x - 1. Let i be q(-4). Let t be (-2)/9 - 358/9. Let d = i - t. Is d a composite number? False Suppose 2*g + 16380 = 4*h - 2*g, 4*h - 16368 = g. Is h a prime number? True Suppose i = 31 - 10. Let m = -2 + i. Is m a composite number? False Let z be 28/(-21)*18/(-1). Suppose -34 = -4*p - 2*u, 2 + z = 2*p + 4*u. Is p a prime number? True Let l(i) = -4 - 14*i + 9*i**3 - 5*i**2 - 9*i + 1. Let b(m) = 4*m**3 - 3*m**2 - 11*m - 2. Let x(g) = 7*b(g) - 3*l(g). Is x(8) prime? True Let j(a) = -17*a + 4. Is j(-7) a composite number? True Let l(q) = -4*q**2 - 3*q - q**3 + 0 - 2 - 5. Let i be l(-6). Let d = i - 57. Is d composite? True Let z = -17 + 17. Let y(r) = 33 - r + 4*r - 2*r. Is y(z) prime? False Suppose 6 = g + 2*g. Suppose -g*h = h - 78. Is h composite? True Let h be (2/(-4))/((-1)/(-270)). Is (2 - h/(-3))*-1 prime? True Let p(l) = 5*l**3 - 1. Suppose b = 3*t - 0*b - 6, 3*t + b = 0. Let i be p(t). Suppose -i*f = 3*r - 41, -f + 79 = 5*r + 3*f. Is r composite? False Let g be (2 + -2)/(3 + -4). Suppose 2*l - 134 = -g*l. Is l a prime number? True Suppose u - 609 = -128. Is u a prime number? False Let m = 732 - 425. Suppose -a + m = -0*a. Is a a prime number? True Let g(a) = a**3 + 23*a**2 + 13*a + 34. Is g(-15) composite? True Let n = 10 - -34. Let r = 81 - n. Is r composite? False Let c = 135 - -312. Is c composite? True Suppose 6 = -q - 4*y, 5*y = -2*q + 2*y - 2. Let v(b) = 5*b + 1. Let m be v(q). Is m - (1 + 1 + -1) prime? False Let z be (-48 - -5)*(-4 + 2). Let u = -55 + z. Is u a composite number? False Let z = 258 + 593. Is z a prime number? False Let f = 5 - 1. Is f/(-6)*(-2346)/4 a prime number? False Let r = 8266 - 5369. Is r composite? False Let z = 6338 - -1655. Is z composite? False Is 1425 + (-11)/(33/6) a prime number? True Suppose 2*u + 3*u = 40. Let s = u + -8. Is (-12)/(-6) - (-147 + s) a prime number? True Let r be (-1 - (-5)/(-2))*-40. Suppose r = 2*y - 974. Is y a composite number? False Let o = 8 - 5. Suppose -4*a - 12 = 2*m + m, 0 = o*a. Is 1/(-2) - 86/m prime? False Let p be (-3)/(12/(-8)) - -3. Suppose h + 456 = 4*m - 21, -p*m = -5*h - 600. Is m a composite number? True Let u(b) = -b**2 + 5*b - 3. Let k be u(4). Suppose 2*h + k = 3*h. Is (-3*h)/(2 - 3) composite? False Let r = -76 + 141. Suppose 5*g = 110 + r. Is g composite? True Let g(i) = i**2 - 12*i + 13. Let f be g(11). Suppose -f*w + 227 = 3*p, 2*p - 5*w + 2*w = 160. Is p prime? False Let a(c) = c**3 + 12*c**2 + 12*c + 16. Let t be a(-11). Is 2 + 1*t/1 prime? True Suppose 0 = p + 4*p. Suppose 2*n - 2*z - 2 = p, 7*n - 2*n + 13 = -z. Let v(g) = -8*g**3 - g**2 + 3*g + 1. Is v(n) a prime number? False Suppose -4*w - 5 + 32 = -3*y, -2*y + 2*w = 16. Let b be -22*(6/(-4) + 2). Is b*(0 + (y - -2)) prime? False Let g(f) be the second derivative of f**4/12 + f**3/6 + 17*f**2/2 + 2*f. Let h(s) = -3*s**2 - 3*s - 50. Let y(v) = -11*g(v) - 4*h(v). Is y(0) prime? True Let i(y) = -2*y + 1. Let l be i(-2). Suppose 31 = l*n - 119. Suppose -5*g + 2*g = -n. Is g composite? True Let w(n) = -73*n - 3. Let x(t) = 36*t + 1. Let v(k) = 3*w(k) + 5*x(k). Is v(-5) a prime number? True Suppose 5*w + 4*n - 403 = 0, -3*w + 2*n + 243 = 4*n. Is w composite? False Let a(w) = w**2 - 6*w + 2. Let d be a(4). Is 1225/21 + (-4)/d a prime number? True Let x = 1827 + -940. Is x composite? False Suppose g - 63 - 146 = 0. Is g composite? True Let r be (-7)/((-21)/60) + 2. Let c be 15/(-4) - (-9)/12. Let u = c + r. Is u a prime number? True Let p(m) = -6*m**2 - m - 1. Let r(k) = 12*k**2 + 3*k + 2. Let c(o) = -5*p(o) - 2*r(o). Is c(-6) prime? True Let g = 88 - 51. Is g composite? False Let b = -41 + 60. Let a = -12 + b. Is a prime? True Let i(a) be the first derivative of -a**4/4 + 8*a**3/3 - a**2/2 + 3*a + 2. Is i(6) composite? True Let j be 29/2 + (-1)/2. Let g(n) = n**2 - 2*n + 1. Let i be g(3). Let u = j - i. Is u composite? True Suppose -r = -5*a + 9, -5*r = 2*a - r - 8. Suppose a*y - 13 = 15. Is y a prime number? False Suppose 0 = 3*p - 2*p - 188. Let t(x) = 5*x**2 - 2*x + 1. Let a be t(-2). Let j = p - a. Is j prime? True Suppose -4*n + 3*j + 2963 = 0, -6 = -2*j - 0. Is n prime? True Let l(q) = -58*q - 3. Is l(-2) a prime number? True Suppose 2*l - t = 3697 - 1419, 0 = -2*l - t + 2270. Is l prime? False Let l be (-83)/((-9)/(-5) - 2). Suppose 0*g = -5*g + l. Is g a prime number? True Let x be (-6)/(((-2)/(-106))/1). Is (x/(-8))/(2/8) a composite number? True Let z be -1 + (1241 - 1) - -1. Let m(h) = h**2 + 10*h + 17. Let s be m(-9). Suppose 4*v + 3*j - z = 0, j = 3*j - s. Is v a prime number? True Let m = 409 - -78. Is m a composite number? False Let c(i) = 61*i**2 - 7*i - 13. Is c(-4) composite? False Suppose 3*m = -m. Suppose 5*h - 115 = -m*h. Is h prime? True Let d(f) = f**2 + 9*f + 5. Let t be d(-9). Suppose -3*q - 218 = -4*p, -4*p + 220 = -t*q + q. Is p a prime number? True Suppose 6*b + 4 = 2*b. Let c(m) = -m**2 - 3*m + 3. Let s be c(-4). Is ((-2 - s) + -48)/b a prime number? False Let x(s) = s**3 + 4*s**2 + 2*s - 2. Let g be x(-2). Let j = 10 + -8. Suppose 2*l - 34 = 2*c, -j*l - g*c - 21 = -63. Is l a prime number? True Suppose 5*g = 5*n + 15, 0*g + 3
{ "pile_set_name": "DM Mathematics" }
*p**2 + 3*p + 39. Calculate the remainder when m(c) is divided by 7. 4 Let r(o) = 14*o - 177. Calculate the remainder when r(16) is divided by 12. 11 Calculate the remainder when (6/24)/(1/104) is divided by 21. 5 Suppose 9*v + 10 = 4*v. Let t(n) be the second derivative of n**4/3 - 5*n**3/6 - n**2 + 2*n. What is the remainder when t(v) is divided by 13? 11 Let a(f) = 10 + 9*f - 14*f + 6*f. Suppose 28 = 4*c - 0*c - 5*o, -c - 18 = 5*o. What is the remainder when a(-6) is divided by c? 0 Suppose -4*y + p = 12 - 30, -3*p + 1 = -y. Suppose 147 = -0*j + 7*j. What is the remainder when j is divided by 2/(-1) - (y + -13)? 3 Suppose -2*a = 4*u + 10 - 28, -4*u = 5*a - 21. Let n be a + -1 + -1 - -1. Calculate the remainder when 87 is divided by (1 + n)/(4/88). 21 Suppose -66*o + 56*o = -1290. Calculate the remainder when 500 is divided by o. 113 Suppose -24*n + 780 = 2*n. Let s(l) = l**3 + 3*l**2 - 3*l + 3. What is the remainder when n is divided by s(-3)? 6 Suppose 0 = 4*n + 5*p - 67, -4*n - 29 = 2*p - 111. What is the remainder when 344 is divided by n? 22 Let r(s) = -s**2 - 21*s - 3. Calculate the remainder when 30 is divided by r(-20). 13 Suppose 93*c - 91*c = -36. Let n = c - -83. Calculate the remainder when n is divided by 19. 8 Let g = -15 + -7. Let u = 100 + -61. Let z = g + u. Calculate the remainder when 49 is divided by z. 15 Suppose -5*j = -15, -2*j + 63 + 75 = 3*v. What is the remainder when 300 is divided by v? 36 Calculate the remainder when 173 is divided by (-1*1 + 47)*(58 - 57). 35 What is the remainder when 16 is divided by (-299)/184*(33/(-3) + 3)? 3 Let s(u) be the first derivative of u**4/2 + u**3 - u**2/2 - 7*u + 4. What is the remainder when s(3) is divided by 37? 34 Let o(g) = g**2 + 7*g + 22. What is the remainder when 36 is divided by o(-6)? 4 What is the remainder when 21 is divided by (10 + -3)*(-40)/(-35)? 5 Suppose 3175*l = 3188*l - 143. Let b(w) = 2*w - 3. Calculate the remainder when l is divided by b(3). 2 Let s be (-5)/5 + 1*-16. Let j = 15 + s. Calculate the remainder when 7 is divided by 32/(-20)*5/j. 3 Let h(a) = a**3 - 2*a**2 - 17*a + 21. Suppose -2*l + 54 = y + 3*y, -y + 39 = 2*l. Calculate the remainder when h(6) is divided by l. 12 Let g(a) = a**3 + 6*a**2 - 5*a + 4. Suppose -10*i + 1344 = 5*b - 7*i, 0 = b + 3*i - 276. What is the remainder when b is divided by g(-5)? 51 Let n = 31 - 17. Let u(o) = 5*o**2 + 3. Let k be u(6). Let y = k + -115. Calculate the remainder when y is divided by n. 12 Let t(k) = -25*k**3 - 3 + 4*k - 10*k**2 - 4 + 24*k**3. Let l be t(-11). Let j = -31 + l. What is the remainder when j is divided by 14? 11 Suppose -4*k + 933 = 3*t, -7*t - 3*k = -11*t + 1219. What is the remainder when t is divided by 77? 76 Let o = -18 + 46. What is the remainder when 95 is divided by o? 11 Suppose -5*k - 65 = 3*y + 104, 4*k = 2*y + 76. Let p = 84 + y. Calculate the remainder when (8 - p)/((-2)/4) is divided by 19. 18 Let b(v) = -30*v - 49. Let d(l) = -20*l - 33. Let q(w) = -5*b(w) + 8*d(w). Suppose 3*c + 4*c = -42. Calculate the remainder when q(c) is divided by 11. 8 Let t = 63 - 20. Let q(b) = b**3 + 17*b**2 + 9*b + 12. What is the remainder when q(-16) is divided by t? 38 What is the remainder when 9/(-9 + 9144/1014) is divided by 10? 7 Suppose m - 535 - 99 = 0. Suppose 15*t + 918 = 49*t. Calculate the remainder when m/6 - 3/(-9) is divided by t. 25 Suppose 0 = -4837*b + 4829*b + 208. What is the remainder when 519 is divided by b? 25 Let a be (12/7)/((-4)/(-14)). Suppose 3*t = a*t - 3, 2*p = -4*t + 24. Calculate the remainder when 37 is divided by p. 7 Suppose 2*x + 5 + 3 = 0. Let h = 19 - 2. What is the remainder when h is divided by (-9)/(-1 + 2/x)? 5 Suppose q = -4 + 1. Let c(p) = 3*p**2 + 5*p + 2. Let m(z) = 4*z + 165. What is the remainder when m(-35) is divided by c(q)? 11 Let q be (-30)/25*(-10)/4. What is the remainder when (-18)/(-6 - (-85)/15) is divided by q/(9/42) - 0? 12 Suppose n - 18 = -5*r + 33, 5*r = -2*n + 52. Calculate the remainder when 39 is divided by r. 9 Let w(x) = -3*x - 49. Let q(j) = -7*j - 99. Let a(b) = 2*q(b) - 5*w(b). Let d(u) = 2*u**2 - u - 3. Calculate the remainder when a(12) is divided by d(3). 11 What is the remainder when 302 is divided by (12/10)/((-2)/(-85))? 47 Let t(d) = 5*d**3 - 2*d - 1. Let l be t(-1). Suppose 4*n + 8941 = 8993. Calculate the remainder when (-183)/l - 4/(-16) is divided by n. 7 Suppose -18*z = -730 - 728. Calculate the remainder when 221 is divided by z. 59 Let r = -88 + 128. Suppose o + t - r = 0, -13 = 3*o - t - 129. Let u(z) = z**3 - 7*z**2 + 2*z - 3. What is the remainder when o is divided by u(7)? 6 Let k be (2/4)/((-4)/(-240)). Calculate the remainder when -4 - (-6)/(k/175) is divided by 16. 15 Let v(d) = 2*d + 2. Let t be 140/44 - 4/22. Let n = 61 + -46. What is the remainder when n is divided by v(t)? 7 What is the remainder when 41396/474*18/4 is divided by 57? 51 Let k(f) be the first derivative of 3*f**2/2 + 3*f + 1. Let r = 397 - 392. Calculate the remainder when k(7) is divided by r. 4 Let z(w) = 7*w + 5. Let q(t) = -t - 1. Let v(m) = 4*q(m) + z(m). Suppose 2*u - 67 = 9. What is the remainder when u is divided by v(4)? 12 Let l be 3*5/(-45)*-33. Calculate the remainder when 86 is divided by 0 - (-21 + -1) - (l - 13). 14 Let z(q) = -q**2 + 39*q - 30. Let d be z(27). Let p = 344 - d. Let g(a) = a**2 + 17. Calculate the remainder when p is divided by g(0). 16 Suppose -6*d + 14*d = 200. Let n = 46 - d. What is the remainder when 40 is divided by n? 19 Suppose -5*y = -5*s + 565, -39*y = 3*s - 35*y - 325. What is the remainder when s is divided by 48? 15 What is the remainder when 109 is divided by (12 + (-296)/28)/(2/28)? 9 Let t = -2 - -4. Suppose -y + 141 = t*y. Let l = y + -8. What is the remainder when l is divided by 10? 9 Suppose 0*q + 90 = -5*q. Let s = 14 + -9. What is the remainder when (-202)/q + 2/(-9) is divided by s? 1 Suppose 89 - 275 = 2*g + 5*b, -8 = 2*b. Let w = -78 - g. Calculate the remainder when 27 is divided by w. 2 Suppose 2*p = -3*p. Suppose -5*a + 6 = -3*h, p = h - 6*h + 15. Suppose -103 = -5*g - a*s, -4*g - 4*s + s + 80 = 0. What is the remainder when g is divided by 6? 5 Suppose -16*w + 6*w = -2650. Calculate the remainder when w is divided by 91. 83 Calculate the remainder when 408/32*(8 - 4) is divided by 40. 11 Let q be -16*(-15)/(-10)*(-2)/1. Suppose -37*k + q = -34*k. What is the remainder when 45 is divided by k? 13 Suppose 5*n + 62 = 272. Suppose -6*h + 3*h = -n. Suppose r + 1 - 5 = 0. What is the remainder when h is divided by r? 2 Let f(t) = 3*t**2 + 42. Calculate the remainder when f(-9) is divided by 41. 39 Suppose -5*z + 2*j = -33, 0 = 2*z - 5*j + 5 - 14. Calculate the remainder when 27 is divided by z. 6 Let s(z) be the second derivative of z**4/6 + z**3/2 - 4*z**2 + 8*z - 7. Let b = -2 - 2. What is the remainder when 46 is divided by s(b)? 10 Suppose 0 = -0*d + 3*d + 4*t - 14, -4*t = -3*d - 26. Let n be (9/d)/(2/(-20)). Calculate the remainder when (n/(-25))/((-2)/10) is divided by 6. 3 Let g = 1550 + -1532. What is the remainder when 104 is divided by g? 14 Let q(n) = -21*n**3 - 2*n**2 + 3*n + 3. Let l be q(-2). Let b = -96 + l. Let h(o) = 5*o - 19. Calculate the remainder when b is divided by h(8). 19 Let p = 70 - 66. Suppose 4*r - 4 = -3*c + 8*r, 0 = -r - 1. Suppose f - 1 = c, -4*v + 6 = -2*f - 0*f. What is the remainder when p is divided by v? 0 Let y(k) = 5*k**2 - 3*k - 2. Let x be y(3). Let s = x + -27. What is the remainder when s is divided by 3? 1 Calculate the remainder when (-102)/(55/(-22)*3/5) is divided by 13. 3 Let o(y) = 2*y**2 + 6*y + 15. Calculate the remainder when 222 is divided by o(-3). 12 Let n(l) = 3*l**2 + 61*l - 519. What is the remainder when 657 is divided by n(7)? 52 Let q = 31 + -26. Suppose -198 = -6*i + 120. What is the remainder when i is divided by q? 3 Let l(p) = 18*p + 3. What is the remainder when l(3) is divided by (29/2)/((-4)/(-8))? 28 Let h(y) = -5*y**3 + y**2 + 10*y + 12. Calculate the remainder when 71 is divided by h(-2). 35 Let a = -32 + 180. What is the remainder when a is divided by 38? 34 Let k = -257 + 281. What is the remainder when 44 is divided by k? 20 Let j = -4 - -5. Let w(o) = 41*o + 2. What is the remainder when 83 is divided by w(j
{ "pile_set_name": "DM Mathematics" }
(9/(-20)). Is d <= -3? False Let x(n) = -2*n + 1. Let t be x(-2). Suppose -d - 4*v = t, -v - 6 = d + 4*v. Let b = d + 2. Are 0.03 and b non-equal? True Let a = 47/84 - -4/21. Let l = 32 - 31. Is a greater than or equal to l? False Let x = -11.5 - 36.5. Let b = x - -49.9. Let w = -2 + b. Which is smaller: -0.4 or w? -0.4 Let t = 20 + -31. Let a = -9 - t. Let f = 1393/15 - 93. Which is smaller: f or a? f Let c be (-2)/(-10) + 45/25. Let n(t) = -t**3 - 1 + 5 - 1 - 3*t**2 - t**c. Let d be n(-4). Which is smaller: d or 0? 0 Suppose -5*a - 3 = 7, -4*v - 4*a = -76. Is 23 < v? False Let d(v) = -2*v**2 + 12*v - 4. Let s be d(5). Suppose 4*c + 1 = -w, s = -4*w - c + 2. Is -2/9 at most as big as w? False Suppose -3*v - 5*j = 21, 0*v + 3*j = -4*v - 17. Let m = -253 - -254. Which is bigger: m or v? m Let b = -2355 + 167202/71. Which is smaller: b or 1? b Let r be (-3)/(-12)*20/235. Let v be (-2)/94*(-103)/(-9). Let k = v + r. Are 0 and k non-equal? True Let y(o) = -o + 9. Let w be y(8). Let v = -7 - -7.1. Is w < v? False Let x(d) = d - 7. Let w be x(0). Which is bigger: w or 1/4? 1/4 Let x be (1 + -1)*2/4. Let s = 2/235 - 713/940. Is x equal to s? False Suppose 3*r - 150 = -2*r. Let f be 5/r*3*-1. Which is greater: 1 or f? 1 Let p(i) = -i + 25. Let w be p(11). Suppose -3*b - w = -11. Which is smaller: 2/27 or b? b Let p = -2 + 7. Suppose 6 = p*u + 1. Is 2 less than or equal to u? False Suppose -5*u - 67 = -4*s, 0*s + 5*u + 21 = 2*s. Is 23 != s? False Let p = -1 - 0. Let u = p + 2. Let n = -0.2 + 0.1. Is u greater than n? True Suppose -4*g = -11 - 17. Suppose -g*p = -4*p. Do p and -2/11 have the same value? False Suppose 0 = -3*v + 12 - 3. Let x = -3 + v. Let p be (2 + -3)*(0 - (-8)/(-92)). Which is smaller: x or p? x Let f = 3/25 + 2/25. Do -0.2 and f have the same value? False Let q = 17 + -9. Suppose 4*l = q*l. Is l bigger than -2/9? True Suppose -6*l + 2*l = 0. Let z = -2 - l. Which is bigger: z or -1? -1 Let d(y) be the second derivative of -y**5/20 + y**4/2 - 5*y**3/6 - 3*y**2 - 2*y. Let w be d(5). Which is smaller: w or -5? w Let q = -1709/972 + 2/243. Let r = q - -45/28. Suppose 0 = -a + 4 - 3. Which is greater: r or a? a Suppose -2*r = -5*r. Let o be 3 + -5 + (r - -1). Suppose 3*f = 5*n - 8, -n = -5*f - 0*n - 6. Is f at least as big as o? True Let a(c) = c**2 - 2*c - 2. Suppose 8*z - 9 = 5*z. Let v be a(z). Is 0.1 at least as big as v? False Let b = 74 - 66. Is 8 <= b? True Let d(v) = v**2 - 8*v - 3. Let y be d(8). Let b(p) = -3*p - 23. Let h be b(-7). Is h bigger than y? True Suppose -3*p - 2*c - 4 = 2*c, 2*p = -4*c - 8. Suppose -2*v + 4 = 2*v - p*n, v - 5*n = -3. Which is smaller: 3/5 or v? 3/5 Suppose i - s = 6, -i + 3*s + 13 = -3*i. Is i at least as big as 1? True Let q = 11 - 17. Let g = q + 6. Let w be (-50)/(-126) + 4/(-14). Is g > w? False Let y(s) = s + 8. Let n be y(-4). Suppose -2*r = n + 6. Let f be (6/r)/((-18)/(-20)). Which is smaller: -2 or f? -2 Let x = 6 - 6. Let o(v) = v**3 - 5*v**2 - 6*v - 3. Let p be o(6). Let c be 3/(-5) - (2 + p). Which is smaller: c or x? x Let n = -14 - -16. Suppose -5 = n*w - 7*w. Which is smaller: -2/11 or w? -2/11 Suppose 2*m - 641 = -4*j - 19, j + 5*m = 133. Let u be 3 + -2*j/108. Is 1 at least as big as u? True Let w = 9 + -18. Suppose 2*f - 18 = -f. Let v be (-50)/f + 6/w. Is -8 > v? True Suppose 0*r = 4*r. Suppose r*k - 5*k = -15. Let s = 0 - 0. Which is greater: s or k? k Let l(b) = -2*b - 4. Let u be l(-7). Suppose 2*a = 2*i - a + 32, 0 = -5*a + 20. Let w = u + i. Is -2/5 at most as big as w? True Let h be (-2)/(-8) + -2*(-39)/(-696). Which is bigger: h or 0? h Let x = -838/3 - -281. Let i(m) = -m - 2. Let g be i(-3). Are x and g unequal? True Suppose 0 = 5*p + u + 2, 4*p - 2*u - 8 = 2*u. Which is bigger: 3 or p? 3 Let g = -1.96 + 0.96. Are -17 and g equal? False Let k = -11.1 - -11. Is k <= 17? True Let b be 4/10 - (-1)/10. Is 2 equal to b? False Let a be 4/6 - 159/171. Let i = 73/133 + a. Which is smaller: 1 or i? i Suppose -2*k - 3 = -1. Let t be (k - 1) + (6 - 4). Is 0 > t? False Let i = -135 - -123. Is i != -120/11? True Let v be (-38)/(-2) + (-18 - -14). Is v <= 16? True Let f(a) = -a**2 + 9*a - 10. Let t be f(7). Let q(b) = -b**3 + 2*b**2 + 4*b - 1. Let x be q(3). Is x equal to t? False Let q be (-2)/((-16)/(-10)) + 0. Which is smaller: q or 0.2? q Let t be -1 - (-8 + 2 + 0). Suppose 3*o - 2 = 4*v, t = -2*v + v + 3*o. Let y be (-15)/156 - (-6)/(-39). Is v greater than or equal to y? True Let q(f) = 2*f**3 + 2*f**2 - 2*f - 2. Let h be q(2). Let c = -13 + h. Let j(o) = -o**3 - o**2 + 3*o - 4. Let i be j(-3). Is i at least c? True Let b(p) = -7*p - 48. Let s be b(-7). Which is bigger: s or -12/31? s Let i be 4/8 - 22/(-4). Let s = 5 - i. Let g be -1*1/s*1. Which is bigger: 0 or g? g Let u be 1 + ((-1)/2*0)/2. Does u = 14/13? False Let i be (-15)/30 - (-5)/2. Is 0 != i? True Suppose 0 = -5*h + c - 5*c + 7, -3*h + 3 = 2*c. Is h greater than or equal to -6/73? False Let y be (-14 - -21)*(1 - 0). Is y equal to 29/4? False Suppose 0 = 5*d + b + 2, 5*b - 15 = 3*d + b. Let x be 12/(-16)*32/36. Which is bigger: x or d? x Suppose -15 = -5*r, -3*c + 4*c - 7 = -r. Suppose 2*m = -5*u + 30, -m + 3*u = -2 - 2. Let i = m - c. Which is bigger: 5 or i? i Let g = -2 + 1. Let q be g/(-2)*(-14)/7. Which is greater: 1/7 or q? 1/7 Suppose 5*n - 17 = 4*t, 0*t = 3*t + 4*n + 36. Suppose -5 - 4 = l. Which is greater: l or t? t Suppose -4*q - 5*t = 4 + 6, 2 = -q - t. Which is bigger: q or 7/29? 7/29 Let p = -4.1 - -4. Are -1 and p non-equal? True Suppose 3*o - 120 = 7*o. Let l = o + 19. Let s = l - -9. Do s and 0 have different values? True Let j be (2/(-14))/(4/12). Is j >= 0.2? False Let p be (-1)/(22/(-7) - -3). Which is bigger: 5 or p? p Suppose j = 6*j + 55. Do -13 and j have different values? True Let h = 58 + -51.1. Let f = h - 7. Which is smaller: f or -0.3? -0.3 Let f = 0.06 + 0.1. Let b = -0.27 - 0.73. Is f bigger than b? True Let y(m) = 4 - 4*m - 2*m**3 + 7*m - 5*m**2 + 3*m**3. Let c(k) = 4*k - 21. Let i be c(6). Let u be y(i). Which is greater: -3 or u? -3 Let i = 9 + -6. Let l = i - 4. Are 2 and l nonequal? True Suppose -4*l + 44 = -5*l. Let w be 3/l*4/(-1). Is 1 not equal to w? True Suppose 162 = -2*d + 4*a, 5*d - a + 390 = -6*a. Is d at least as big as -78? False Suppose 0 = -3*b - 4*k - 1, 0 = -5*b + 2*k + 3*k + 10. Which is bigger: 22/9 or b? 22/9 Let a = -19 + 13. Let h be (-48)/(-18)*(-18)/8. Is h >= a? True Let p(r) = r**3 + 29*r**2 + 54*r. Let b be p(-27). Is -1/36 > b? False Suppose 4*f - 7 = 2*d + 7, 0 = 5*d + f - 9. Let l = 702/7 - 100. Is d less than l? False Let m = 171 - 135. Which is smaller: m or 35? 35 Suppose p - 3*y = 18, -y - y - 22 = -4*p. Which is greater: p or 4? 4 Let q = -1712/7 + 244. Is q not equal to 0? True Suppose 0 = 3*n - 0*n - 4*b - 22, 0 = 2*n + 3*b + 8. Suppose 3*s - 18 = -3*i, 0 = n*i + i - 2*s + 2. Let l be 2/9 - (-42)/54. Which is greater: i or l? i Let k = 29.2 + -27. Let n = k + -3.1. Let j = n - -1. Which is bigger: j or -3? j Let s = 1 + -1.01. Let x = -0.82 + -0.18. Is s <= x? False Let p be (-28)/13 - (-7 + 5). Let h(t) = -t**2 - 7*t + 8. Let v be h(-8). Is p <= v? True Let r = 114/13 + -1052/117. Which is smaller: r or -1? -1 Let o(l) = l**2 + 6*l + 5. Let q be o(-5). Does q = -2/135? False Suppose -x = -4*x - 90. Let j be 16/x + (-3)/(-9). Which is greater: j or 0? 0 Let j(f) = -f**3 + 4*f**2 - f + 4. Let n be j(3). Which is greater: 7 or n? n Let x = 13.96 - 14. Let l = x - 0.06. Is -3/4 > l? False Let u be (-12)/(-4) + 18/(-8). Do 2 and u have different values? True Let k = 0.6 - 0.2. Let a = k + -0.1. Is a > -0.1? True Let f = 38/5 - 37/5. Do f and -1/3 have different values? True Let d be (-16)/(-18) - 4/6. Let l be 200/99 - 6/3. Let c = 68/99 - l. Which is greater: d or c? c Suppose 3*u = -c - 35, -25 = -0*u + 3*u - c. Let i(o) = o**2 + 10*o. Let l be i(u). Which is greater: 1/3 or l? 1/3 Suppose -2*i + 8 = 0, 2*i - 58 = -7*c + 2*c. Is c at most 11? True Let l(i) = i**2 - i - 2. Let h be l(2). Let k be (h + (-1)/1)/2. Let x(z) = -z**3 + 2*z**2 + 3*z. Let n be x(3). Is k smaller than n? True Let l = -10 - -6. Let p = l + 2. Let b(c) = -c**3 + 2*c**2 - 2*c + 3. Let s be b(2). Which is smaller: p or s? p Let f be (6/(-40))/((-6)/(-4)). Suppose -24 = -3*v -
{ "pile_set_name": "DM Mathematics" }
(h) = -3*h**2 + 15*h + 6. Let w(f) = 3*g(f) - 2*l(f). What are the prime factors of w(17)? 2, 3 Let c = 4 - -8. Suppose 0 = f - 16 - c. Let g = 39 - f. What are the prime factors of g? 11 Let l(z) = z**3 - 11*z**2 - z + 13. Let u be l(11). Let g be 1 + -1 + (40 - u). Suppose 8 = 4*j, 4*f + j = -0*j + g. What are the prime factors of f? 3 Let k = 6 + -5. List the prime factors of -1 + -3 - (-30)/k. 2, 13 Suppose 7*z - 8*z = -5. Suppose 0 = s + s + 2*f + 14, 5*f - 85 = z*s. Let l = 22 + s. List the prime factors of l. 2, 5 Let t(a) = -429*a**2 - 6. Let o(g) = -429*g**2 - 5. Let c(y) = 7*o(y) - 6*t(y). Let s be c(1). What are the prime factors of (-12)/(-54) + s/(-18)? 2, 3 Let d(h) = -h**3 + 7*h**2 - h + 3. Let i be d(5). Suppose i = 2*b - 5*b. What are the prime factors of (-12)/b - (-10)/8? 2 Let u(l) = -l**3 - 2*l**2 + 2*l - 1. Let y be u(-3). Let j be (-2)/(y/13) + 1. Let p = 17 + j. What are the prime factors of p? 5 Let m be (-2)/(-11) - (-218)/11. Let y = m - 7. List the prime factors of y. 13 Let j = -7 + 12. Suppose 12 = 5*y - 4*w, -j*w = -2*y - 3*w + 6. Suppose -2*p + y = -6. What are the prime factors of p? 3 Let h(j) = 2*j**3 - j**2 + 2*j - 4. Let s(b) = -b**3 + b**2 - b - 1. Let z(m) = -h(m) - s(m). What are the prime factors of z(0)? 5 What are the prime factors of ((-103)/(-3))/(33/(-9) + 4)? 103 Let i(a) = -2*a**2 - 2*a**3 + a**3 + 4 - 2. Let k(h) = h - 8. Let t be k(6). List the prime factors of i(t). 2 Suppose 0 = -5*x - 15, -3*j + 53 = j + x. List the prime factors of j. 2, 7 Let o = -2 + 80. Let b be o/(-12) + (-1)/(-2). What are the prime factors of (b/(-8))/((-2)/(-24))? 3 List the prime factors of 3 + 1/1 - -24. 2, 7 Let t(f) = f**2 + 7*f + 7. Let v be t(-6). Let q(o) = 19*o**3 - o**2. Let s be q(v). Let n = -6 + s. What are the prime factors of n? 2, 3 Let s(x) = -2*x - 6. Suppose 0 = -v - 0*v + 2. Let y be v - 1/((-3)/(-18)). List the prime factors of s(y). 2 Suppose 4*r = -4*a + 4, 0 = -5*a + 3*r - 4*r + 25. What are the prime factors of 2*(-3)/a + 8? 7 Let r(b) = 16*b**3 + b**2 - 1. Let i(u) = 8*u**2 + 1. Let p be i(-1). Let d = p - 8. List the prime factors of r(d). 2 Let m = -11 - 105. Let y = -71 - m. Suppose 11 + y = 4*k. What are the prime factors of k? 2, 7 Let z(v) = 2*v**3 - 6*v**2 + v + 4. Let t be z(4). Suppose 3*j - 5*l = 3 + 29, 3*j - l - t = 0. What are the prime factors of j? 2, 7 Let p = 346 - 164. What are the prime factors of p? 2, 7, 13 Let g(w) be the second derivative of 4*w**3/3 + w**2/2 + 2*w. What are the prime factors of g(1)? 3 Suppose 3*q + 12 = 87. Suppose 0 = -t - 3*a - 3, q = 5*t + 4*a + a. What are the prime factors of t? 3 Suppose 2*m = j + 4*j + 411, -3*m = 5*j - 604. List the prime factors of m. 7, 29 What are the prime factors of 488/12 + 3/9? 41 List the prime factors of (-2 - 232/(-12))/((-4)/(-30)). 2, 5, 13 Let j(k) = -k**3 + 3*k**2 + 8*k - 3. Let s be j(6). What are the prime factors of s/(-4) + (-2)/(-8)? 2 Suppose 21 = 5*h - 9. Let p = h + -2. List the prime factors of p. 2 Let r = -4 - -20. Suppose -5*w + 64 = -r. List the prime factors of w. 2 Suppose s + 5*a - 255 = 0, -5*s + a + 3*a + 1159 = 0. What are the prime factors of s? 5, 47 Suppose -3*z + 102 = -198. Suppose -f - 4*f = -z. List the prime factors of f. 2, 5 What are the prime factors of (16*1)/((-4)/(-6))? 2, 3 Suppose 4*x - 2*x + 6 = -2*b, -5*b = 15. Suppose 2*z + x*z = 12. Suppose -s - 60 = -z*s. What are the prime factors of s? 2, 3 Let u(z) = z + 2. Let f be u(-2). Let a = 2 + 15. Let b = a + f. What are the prime factors of b? 17 What are the prime factors of ((-142)/3)/(10/(-30))? 2, 71 Suppose 1 = 3*k + 13, -k + 52 = 2*f. List the prime factors of f. 2, 7 What are the prime factors of 180/(5 + -1 + -3)? 2, 3, 5 Let i(h) = h**3 + 4*h**2 - 4*h + 4. Let c be i(-5). Let k be 2 + c*(-2)/1. Suppose 2*u + 3*l = 24, k*u - l = 3*l + 8. List the prime factors of u. 2, 3 Let z(s) be the third derivative of -2*s**3 + 7/60*s**5 + s**2 - 1/120*s**6 + 0 + 5/12*s**4 + 0*s. What are the prime factors of z(8)? 2 Let d = 17 - 6. Let f = d + 9. What are the prime factors of f? 2, 5 Suppose -7*w - 4 = -2*p - 5*w, 0 = -4*p + 5*w + 13. Let b(m) = m**3 + 2*m**2 - 5*m - 4. List the prime factors of b(p). 2 Suppose 54 = 5*t - 281. What are the prime factors of t? 67 Let i(q) = 1. Let a(x) = 18*x**2 + x + 4. Let b(n) = a(n) - 5*i(n). List the prime factors of b(1). 2, 3 Let t = -5 - -78. What are the prime factors of t? 73 Suppose 0*j + 4*w + 20 = 4*j, 16 = 2*j + 4*w. Let d = 0 - j. List the prime factors of (-2)/3 + (-16)/d. 2 Let g be (6 - 2)/(2/(-9)). Let h = 28 + g. Let r = h - 4. List the prime factors of r. 2, 3 Let j be -1 + 3 - (-2)/2. Suppose -j*z - 2 = -29. List the prime factors of z. 3 List the prime factors of 27 - (-2 + (-1 - 1)). 31 Let z = 25 + -13. Suppose -5*u + 37 = z. What are the prime factors of u? 5 Suppose -3*s - 3 = -3*w, -2*w + 2*s + 7 = -s. Let j be 1/(-8)*2*w. List the prime factors of (-1)/((-10)/(-11) - j). 11 Let o = -64 - -98. List the prime factors of o. 2, 17 List the prime factors of -1 - 0 - (-4 - (119 + -4)). 2, 59 Suppose 0 = f - 3*f + 28. List the prime factors of f. 2, 7 Let z(o) = 3*o**2 - 4*o - 3. Let m(p) = -3*p**2 + p. Let i be m(1). What are the prime factors of z(i)? 17 Suppose -4*b = -0*b - 48. List the prime factors of b. 2, 3 Suppose 2*r - 2*g + 592 = 7*r, 0 = -3*r - 5*g + 340. What are the prime factors of r? 2, 3, 5 Let k(n) = -n**3 - 6*n**2 - 4*n - 10. What are the prime factors of k(-6)? 2, 7 Suppose 1435 - 445 = 10*h. List the prime factors of h. 3, 11 Suppose 4 = c - 30. What are the prime factors of c? 2, 17 Let f(m) = -m**3 + 7*m**2 - 7*m + 3. Suppose 6*d = 3*r + 2*d + 5, -3*r - 2*d + 25 = 0. What are the prime factors of f(r)? 2, 3 Let w be (2/2 - (-1)/(-1))/(-2). Suppose -5*i - 2*m - 6 = -20, 4*i = -5*m + 18. Suppose i*f - 24 + 6 = w. List the prime factors of f. 3 Let r = 19 - 10. What are the prime factors of r? 3 Suppose 11*n = -2*n + 2574. List the prime factors of n. 2, 3, 11 Let w = 31 - -176. What are the prime factors of w? 3, 23 Let m(b) = -b**2 - 8*b - 9. Let u be m(-6). Suppose 84 = 3*y + 3*p, 3*p + 41 = -u*y + 5*y. What are the prime factors of y? 5 Suppose 0 = 4*h - 9*h + 125. What are the prime factors of h? 5 Let d = 17 + -41. Let r be (-4)/(-6)*(1 + -4). What are the prime factors of (d/r)/(1 + 1)? 2, 3 Let t be (2 + -1)/(-1) + 2. Suppose 2*j + t = 3. What are the prime factors of (-2)/(27/33 - j)? 11 Suppose 5*v - 10 = 5*c - 30, -2*c = -3*v - 10. Suppose c*h = m + 7, 8*m + 7 = 3*h + 3*m. List the prime factors of h. 2 Let j(g) = g**3 + 8*g**2 + 3*g - 8. Let t be j(-7). List the prime factors of (-4)/t + (-16)/(-5). 3 Let s = 7 - 5. Let u(g) = g**2 - 3*g + 3. Let a be u(s). Let c = a - -6. List the prime factors of c. 7 Suppose z - 55 = 7*m - 3*m, m - 113 = -3*z. What are the prime factors of z? 3, 13 Let a(v) = 2*v - 8. Let w be a(12). Let h = w - 2. List the prime factors of h. 2, 7 List the prime factors of (3836/35)/(2/5). 2, 137 Let r be (5/(-2) - -3)*46. Let u be r + (2 - (-2 + 5)). Suppose -4*d + 3*i + u + 4 = 0, 9 = d - 2*i. List the prime factors of d. 5 Let b = -142 - -218. List the prime factors of b. 2, 19 Let s(l) = l**3 + 3*l**2 + 5*l + 2. Suppose c + 1 = -2. Let w be s(c). Let u = w - -24. List the prime factors of u. 11 Let k(q) = -q**3 + 7*q**2 - 7*q - 8. Let m be k(6). Let z = m - -25. List the prime factors of z. 11 Let y(s) = s**2 - s + 11. Let w be y(0). Suppose 0 = -5*p - 2*r + 31, 3*p + r - w = -4*r. Suppose 0 = -5*t + p + 3. What are the prime factors of t? 2 Suppose -u + 0 = -3. Suppose 2 = -u*x + 4*x. Suppose x*l - 24 = -l. List the prime factors of l. 2 Let g be -1*6/(-2)*-3. What are the prime factors of (2 - g/(-6))*32? 2 Let i = -47 - -86. What are the prime factors of i? 3, 13 What are the prime factors of 168/40 - (-2)/(-10)? 2 Suppose 0 = 5*c - 126 + 41. Suppose -2*w - c = -5. List the prime factors of (1 - w) + (-1 - 1). 5 Let w = 1 - -1. Suppose w = l - 4. List the prime factors of l. 2, 3 Suppose -3*a + 3*z = -42, a - 6*a + 2*z + 61 = 0. List the prime factors of a. 11 Let n = -145 + 254. List the prime factors of n. 109 Let n(c) = -c**3 - 8*c**2 + 3. Let l be n(-8). Suppose l*w + 5*t - 45 = 0, -3*w + 3*t = -2*t - 15. List
{ "pile_set_name": "DM Mathematics" }
11/3 = 0? -1/14, 22 Factor 4*g**3/5 - 1188*g**2/5 + 89964*g/5 - 259308/5. 4*(g - 147)**2*(g - 3)/5 Factor -2*s**3 - 1164*s**2 + 2334*s - 1168. -2*(s - 1)**2*(s + 584) Let 4*s**4 + 408*s**3 + 804*s**2 + 400*s = 0. What is s? -100, -1, 0 Factor -2*b**2/3 - 88*b/3 + 30. -2*(b - 1)*(b + 45)/3 Factor 2*q**5/13 - 270*q**3/13 - 540*q**2/13 + 9720*q/13 + 34992/13. 2*(q - 9)**2*(q + 6)**3/13 Factor -2*v**2 - 8*v/7. -2*v*(7*v + 4)/7 Determine z so that z**2/8 + 777*z/4 - 389 = 0. -1556, 2 Factor 4*x**3 + 16*x**2 + 12*x. 4*x*(x + 1)*(x + 3) Let -k**2 - 42*k - 41 = 0. What is k? -41, -1 Determine l, given that 5*l**5 - 5*l**4 - 25*l**3 + 25*l**2 + 20*l - 20 = 0. -2, -1, 1, 2 Find w such that -4*w**5/7 - 12*w**4 - 432*w**3/7 = 0. -12, -9, 0 Factor -12*k**3/7 - 1143*k**2/7 - 285*k/7. -3*k*(k + 95)*(4*k + 1)/7 Find r, given that -12*r**5 - 116*r**4 - 104*r**3 + 528*r**2 + 608*r - 256 = 0. -8, -2, 1/3, 2 Determine l, given that 14*l**5/3 + 220*l**4/3 - 64*l**3/3 = 0. -16, 0, 2/7 Solve 160*v**2 + 44*v - 8 = 0 for v. -2/5, 1/8 Suppose 5*n**5 - 60*n**4 - 220*n**3 + 2400*n**2 + 8000*n = 0. What is n? -4, 0, 10 Factor 3*t**4 + 444*t**3 + 426*t**2 - 2196*t + 1323. 3*(t - 1)**2*(t + 3)*(t + 147) Factor 12*f**4 + 51*f**3 - 912*f**2 - 231*f. 3*f*(f - 7)*(f + 11)*(4*f + 1) Find h such that -3*h**4/4 - 33*h**3/4 - 18*h**2 + 27*h = 0. -6, 0, 1 Factor -s**2/3 + 23*s/3 + 376. -(s - 47)*(s + 24)/3 Factor 3*c**2 + 147*c + 774. 3*(c + 6)*(c + 43) Factor -4*m**3 + 8*m**2 + 116*m + 168. -4*(m - 7)*(m + 2)*(m + 3) Factor 3*r**3 - 255*r**2 - 519*r - 261. 3*(r - 87)*(r + 1)**2 Factor 5*x**3 + 790*x**2 - 1595*x + 800. 5*(x - 1)**2*(x + 160) Solve 78*y**2/5 + y/5 = 0 for y. -1/78, 0 Determine d, given that -3*d**3 + 1770*d**2 - 3528*d = 0. 0, 2, 588 Factor 2*n**3 - 40*n**2 - 42*n. 2*n*(n - 21)*(n + 1) Determine g so that g**3/7 + 58*g**2/7 + 16*g = 0. -56, -2, 0 Find l, given that -2*l**3/9 + 10*l**2/9 - 8*l/9 = 0. 0, 1, 4 Factor q**3 + 3*q**2 - 10*q. q*(q - 2)*(q + 5) Factor 2*v**3 - 54*v**2 + 192*v - 184. 2*(v - 23)*(v - 2)**2 Solve -3*z**2/5 - 231*z + 3492/5 = 0 for z. -388, 3 Suppose -4*b**2 - 28*b = 0. What is b? -7, 0 Factor 2*i**3 + 58*i**2 - 560*i + 1184. 2*(i - 4)**2*(i + 37) Let 36*m**5/5 + 1308*m**4/5 + 5152*m**3/5 + 5168*m**2/5 + 1536*m/5 = 0. What is m? -32, -3, -2/3, 0 Find j such that j**5/3 + 8*j**4/3 - 32*j**3/3 + 14*j**2/3 + 31*j/3 - 22/3 = 0. -11, -1, 1, 2 Solve 14*y**3/5 + 18*y**2/5 - 62*y/5 + 6 = 0. -3, 5/7, 1 Factor r**3/2 + 11*r**2/2 + 13*r + 8. (r + 1)*(r + 2)*(r + 8)/2 Determine i so that 4*i**5 + 68*i**4 + 376*i**3 + 704*i**2 - 128*i - 1024 = 0. -8, -4, -2, 1 Factor -2*n**2/5 + 2*n/5 + 12. -2*(n - 6)*(n + 5)/5 Solve 2*f**4/17 - 228*f**3/17 + 7144*f**2/17 - 2160*f + 46656/17 = 0 for f. 2, 4, 54 Factor -4*c**4 - 432*c**3 + 1324*c**2 - 888*c. -4*c*(c - 2)*(c - 1)*(c + 111) Let -36*c**4 - 172*c**3 + 1552*c**2 + 4848*c - 1152 = 0. Calculate c. -8, -3, 2/9, 6 Factor 2*j**3 + 396*j**2. 2*j**2*(j + 198) Find r such that -2*r**5 + 40*r**4 - 96*r**3 - 116*r**2 + 226*r + 204 = 0. -1, 2, 3, 17 Factor -f**2/3 + 17*f/3 + 38/3. -(f - 19)*(f + 2)/3 Factor -4*d**4 + 92*d**3 - 393*d**2 + 612*d - 324. -(d - 18)*(d - 2)*(2*d - 3)**2 What is b in -2*b**4 - 4*b**3 + 14*b**2 - 8*b = 0? -4, 0, 1 Factor -v**5/8 + v**4/2 - 3*v**3/8. -v**3*(v - 3)*(v - 1)/8 Find v such that -v**2 + 3*v + 270 = 0. -15, 18 Factor -2*k**2 - 1844*k - 425042. -2*(k + 461)**2 Suppose 60*k**4 - 219*k**3 + 288*k**2 - 159*k + 30 = 0. What is k? 2/5, 1, 5/4 Factor -4*w**5 - 20*w**4 - 24*w**3 + 8*w**2 + 28*w + 12. -4*(w - 1)*(w + 1)**3*(w + 3) Solve -8*a**4/17 - 50*a**3/17 + 54*a**2/17 + 74*a/17 - 70/17 = 0 for a. -7, -5/4, 1 Determine j, given that -j**5/5 + 4*j**4/5 - 6*j**3/5 + 4*j**2/5 - j/5 = 0. 0, 1 Solve 4*k**3 + 144*k**2 - 156*k - 296 = 0 for k. -37, -1, 2 Let -2*a**5/11 + 14*a**4/11 + 2*a**3 - 46*a**2/11 - 20*a/11 + 32/11 = 0. Calculate a. -2, -1, 1, 8 Solve 3*c**2 - 60*c = 0. 0, 20 Factor -5*g**5 + 55*g**4. -5*g**4*(g - 11) Solve -f**5 + 42*f**4 - 481*f**3 + 840*f**2 - 400*f = 0. 0, 1, 20 Factor 4*c**2 + 264*c - 544. 4*(c - 2)*(c + 68) Find z, given that 13*z**2/4 - 7*z/4 - 5 = 0. -1, 20/13 Suppose b**4/5 - 21*b**3 - 431*b**2/5 - 543*b/5 - 218/5 = 0. What is b? -2, -1, 109 Factor -x**5/4 - 2*x**4. -x**4*(x + 8)/4 Suppose -3*b**2/5 - 24*b - 105 = 0. What is b? -35, -5 Factor 5*p**2 + 40*p + 80. 5*(p + 4)**2 Find g such that 3*g**3/2 - 555*g**2/2 + 1887*g - 3204 = 0. 3, 4, 178 Let 3*s**3 - 18*s**2 - 81*s + 420 = 0. What is s? -5, 4, 7 Let d**2/4 - 14*d - 57/4 = 0. What is d? -1, 57 Solve -4*w**2 + 340*w + 344 = 0. -1, 86 Factor -6*x**4 + 44*x**3 - 38*x**2. -2*x**2*(x - 1)*(3*x - 19) Determine i, given that 8*i**4 + 76*i**3 + 148*i**2 + 56*i = 0. -7, -2, -1/2, 0 What is h in -2*h**2 + 12596*h - 19832402 = 0? 3149 Factor -3*q**3 + 570*q**2 - 1131*q + 564. -3*(q - 188)*(q - 1)**2 Factor -a**2/4 - 21*a - 83/4. -(a + 1)*(a + 83)/4 Factor -3*w**4 + 39*w**2 + 36*w. -3*w*(w - 4)*(w + 1)*(w + 3) Suppose -20*a**4 - 15*a**3 = 0. Calculate a. -3/4, 0 Factor 2*p**3/5 - 276*p**2/5 + 814*p/5 - 108. 2*(p - 135)*(p - 2)*(p - 1)/5 Factor 5*o**5 - 510*o**4 + 505*o**3. 5*o**3*(o - 101)*(o - 1) Find a such that 2*a**3 - 4*a**2 - 8*a + 16 = 0. -2, 2 Find y such that 3*y**2/7 - 633*y/7 + 1254/7 = 0. 2, 209 Factor -3*k**2 - 3*k + 90. -3*(k - 5)*(k + 6) Factor -4*j**2 + 208*j - 2704. -4*(j - 26)**2 Factor -2*k**2/3 + 14*k + 260/3. -2*(k - 26)*(k + 5)/3 What is x in 2*x**2 + 912*x + 103968 = 0? -228 Determine k so that -3*k**4 + 87*k**3 - 792*k**2 + 2160*k = 0. 0, 5, 12 Let 2*r**4/11 + 628*r**3/11 + 624*r**2/11 - 628*r/11 - 626/11 = 0. Calculate r. -313, -1, 1 Factor l**2/6 + l/3 - 35/6. (l - 5)*(l + 7)/6 Determine k so that -2*k**4 + 14*k**3 - 12*k**2 = 0. 0, 1, 6 Factor -r**3/6. -r**3/6 Determine j so that -2*j**5 + j**4 + 8*j**3 + 5*j**2 = 0. -1, 0, 5/2 Factor -2*o**2/7 + 192*o - 32256. -2*(o - 336)**2/7 Let -z**2/8 + 1515*z/8 + 379/2 = 0. Calculate z. -1, 1516 What is q in -3*q**4/7 + 12*q**3/7 + 96*q**2/7 = 0? -4, 0, 8 Find z such that -4*z**5/3 = 0. 0 Suppose -2*h**4/13 - 22*h**3/13 - 40*h**2/13 + 64*h/13 = 0. Calculate h. -8, -4, 0, 1 Let 4*h**3/5 + 24*h**2/5 + 44*h/5 + 24/5 = 0. What is h? -3, -2, -1 Suppose 2*a**3/3 + 338*a**2/9 + 12*a - 224/9 = 0. What is a? -56, -1, 2/3 Suppose 3*g**5/4 + 357*g**4/4 + 171*g**3/2 - 357*g**2 - 354*g = 0. What is g? -118, -2, -1, 0, 2 Factor 5*h**3 - 45*h**2 + 30*h + 80. 5*(h - 8)*(h - 2)*(h + 1) Find w, given that -2*w**2/9 - 16*w/9 - 14/9 = 0. -7, -1 Factor 2*g**3 - 1000*g**2 + 125000*g. 2*g*(g - 250)**2 Factor k**3/2 + 15*k**2/4 - 29*k/4 - 9/2. (k - 2)*(k + 9)*(2*k + 1)/4 Factor -r**2/3 + 341*r/3 - 340/3. -(r - 340)*(r - 1)/3 Determine j, given that 2*j**2/5 - 206*j/5 + 404/5 = 0. 2, 101 Factor -4*g**4 - 2456*g**3 + 7392*g**2 - 7400*g + 2468. -4*(g - 1)**3*(g + 617) Factor -81*j**3/4 - 279*j**2/2 - 112*j - 24. -(j + 6)*(9*j + 4)**2/4 What is x in -10*x**3/9 - 52*x**2/3 - 24*x + 112/9 = 0? -14, -2, 2/5 Find u such that u**2/4 - 35*u/2 + 1225/4 = 0. 35 Factor -y**2/11 - 303*y/11 - 900/11. -(y + 3)*(y + 300)/11 Solve 2*p**2/21 + 3392*p/21 - 2264/7 = 0. -1698, 2 Factor -m**5/4 - 17*m**4/4 - 63*m**3/4 + 81*m**2/4. -m**2*(m - 1)*(m + 9)**2/4 Determine m so that 5*m**5/2 - 65*m**4/2 - 120*m**3 + 2150*m**2 - 2000*m = 0. -8, 0, 1, 10 Solve 5*g**5 + 120*g**4 + 240*g**3 - 6250*g**2 + 4875*g + 11250 = 0. -15, -1, 2, 5 Factor -2*i**2/9 - 22*i/3 + 380/9. -2*(i - 5)*(i + 38)/9 Factor -p**2 + 4018*p. -p*(p - 4018) Determine i, given that 2*i**5/9 - 16*i**4/9 - 46*i**3/9 + 52*i**2/9 + 88*i/9 - 80/9 = 0. -2, 1, 10 Find g, given that -2*g**2 + 160*g - 608 = 0. 4, 76 Find d such that -2*d**2/3 + 26*d/3 = 0. 0, 13 Find y, given that -y**2 + 200*y + 404 = 0. -2, 202 Factor -5*t**4 + 220*t**3 - 2625*t**2 + 4410*t. -5*t*(t - 21)**2*(t - 2) What is s in 3*s**4/4 - 870*s**3 + 378450*s**2 - 73167000*s + 5304607500 = 0? 290 Factor 2*z**4/9 - 4*z**3/9 - 64*z**2/9 - 20*z/3 + 14. 2*(z - 7)*(z - 1)*(z + 3)**2/9 Suppose -o**3/3 - o**2/3 + 17*o/3 - 5 = 0. Calculate o. -5, 1, 3 Factor -14*p**3/9 + 80*p**2/9 + 122*p/9 + 28/9. -2*(p - 7)*(p + 1)*(7*p + 2)/9 Factor 43245*s**2 + 1860*s + 20. 5*(93*s + 2)**2 Factor -4*n**5/3 - 16*n**4/3 + 92*n**3/3 + 152*n**2/3 - 880*n/3 + 800/3. -4*(n - 2)**3*(n + 5)**2/3 Factor -2*y*
{ "pile_set_name": "DM Mathematics" }
d(4). Which is the nearest to p? (a) v (b) -2 (c) j c Let w = -10 - -10.2. Let s = w + -10.2. Let l = s - -10.2. Which is the nearest to 2/9? (a) l (b) -4 (c) -1 a Let h = -3 + 4. Let q be 3 + (-9)/6*2. Which is the nearest to q? (a) h (b) -5/4 (c) 4/3 a Let w = -1.1 + 5.1. Let j = -13.93 - -14. Let f = -0.13 - j. Which is the nearest to -2? (a) f (b) w (c) 2/5 a Let v = 3.1 - 3.5. Which is the nearest to -0.1? (a) v (b) 4 (c) -2/7 c Let q = -4.08 + 0.08. Let y = 54 - 53.7. Which is the closest to 2/5? (a) y (b) 0.2 (c) q a Let u(m) = -3*m + 1. Let g be u(-1). Let w = 6 - 5.6. Let p be 17/(-5) + 1 - -2. Which is the closest to -2/9? (a) g (b) w (c) p c Let b = 11 - 15. What is the nearest to 0 in -5, b, 0.1? 0.1 Let o(a) = a**2 + 4*a - 4. Let l be o(-4). Let y = -119/1725 - -11/115. Let v = 28/75 + y. What is the nearest to v in 0.4, 4, l? 0.4 Let g = 4.04 - 0.04. Let j = -0.2 - 3. Let d = 3 + j. What is the closest to 0 in d, g, -0.4? d Let v = -1.3 - -1.5. Which is the closest to 1? (a) 0.5 (b) v (c) -1/6 a Let a be (3 + 145/(-50))/1. What is the closest to 0.5 in -0.3, a, 1/8? 1/8 Let x = -0.1 - 0.4. Let y = x + 0.1. Let j = y + 0.8. Which is the closest to -1? (a) -2/5 (b) 2 (c) j a Let r be ((-67)/(-2))/((-3)/(-2)). Let n = r + -22. Let t = 2 + -1.5. Which is the closest to n? (a) t (b) 3 (c) -2/11 a Let v = 4 - 3. Which is the nearest to v? (a) -0.3 (b) 0.2 (c) -0.2 b Let y = 7 + -10. Let p = 247/2865 - -9/191. What is the nearest to 2/5 in y, 0.2, p? 0.2 Let y = -0.33 - -0.13. Let d = -8 - -7.6. What is the nearest to 0.4 in y, d, 2/5? 2/5 Let t = 2.5 - 2. Let b = -0.21 - -14.21. Let c = b + -14.2. What is the nearest to 0.1 in c, t, 2? c Let v be (-10)/(-24) - 1/(-4). Let d be 0 + ((-10)/(-8) - 1). Which is the closest to v? (a) d (b) -0.3 (c) -1/3 a Let q be (-2)/2*1/(-3). Let v = -0.5 - -1. Let p = -0.3 + v. What is the closest to q in p, -2, -3? p Let o = 0.14 - 0.04. Let j be 92/20 + (-4)/(-10). Let s = -24 - -23.8. Which is the closest to o? (a) s (b) j (c) -0.1 c Let m = 11 - 12. Which is the closest to 5? (a) m (b) 0.5 (c) -4/7 b Let u be (-278)/42 + (-4)/(-14). Let l = u - -7. Let d = 20 - 17. Which is the closest to l? (a) 0.3 (b) 0 (c) d a Suppose -2*g + 50 = 5*y, -5*y + 3*y = -3*g - 1. Which is the closest to -1/2? (a) 0.4 (b) 1/12 (c) y b Let j = -4.5 - -5. Let h = -0.5 + j. Let q = -3 - -2.5. What is the nearest to h in 0.3, 1/6, q? 1/6 Let f be 1 - 2/((-372)/(-314)). Let p = -2/93 - f. What is the closest to -0.5 in p, -3/5, -4? -3/5 Let n = -5.74 - 0.26. Which is the closest to -1? (a) -0.5 (b) n (c) -4 a Let k be 19/(-45) + (-14)/(-63). What is the nearest to -0.1 in -1, k, 0.3? k Suppose t = 3*t + 6. Let r be 6/(-10)*(-8)/6. Which is the nearest to -0.1? (a) -0.1 (b) t (c) r a Let x be (-3 - (0 - 2)) + 49/21. Which is the nearest to -0.1? (a) x (b) -2/11 (c) 0.4 b Let u = 3.23 - 3.1. Let m = u + 4.87. Let g = 0 + m. What is the closest to -2/3 in -1/2, g, -5? -1/2 Let u = 5 - 1. Suppose s + u*s = -20. What is the nearest to -2 in 2, 1, s? s Let z = 0.1 - 0.1. Which is the closest to z? (a) -0.5 (b) 2/7 (c) -1 b Let m be (-2)/(-3)*1*3. Suppose 4*h + 20 = 0, m*y + 3*y + 5*h - 105 = 0. Let n be y/(-42) - (-1)/3. What is the nearest to 2/9 in 1/8, 1/3, n? 1/8 Let t = -11.8 + 6.8. What is the nearest to 3 in 0.1, 1/2, t? 1/2 Let q = 0 + 0. Let t = 0.2 + q. Let k = t + -0.1. What is the nearest to k in -1, 1/4, -1/5? 1/4 Let m = 0.015 - -3.985. Which is the closest to -1? (a) 5 (b) m (c) 0.03 c Suppose -5*p = -10*p + 5. What is the nearest to p in 0, -0.2, -0.5? 0 Let m = -1 - -4. What is the closest to 1 in m, 5, 4? m Let x = 26 + -16. Let w = 9 + -15. Let l = x + w. Which is the closest to 0? (a) -2 (b) l (c) 3/5 c Let g be -9*(-1)/6*(-4)/6. Which is the nearest to 1? (a) -3/4 (b) 0.2 (c) g b Let d be (-72)/126 + 10/(-56). Let y = -1 + 3. Which is the closest to -0.1? (a) -1/5 (b) y (c) d a Let h = 1.7 - -1.3. What is the closest to h in 1/3, -1/6, -2/9? 1/3 Let n = 7/33 + 5/11. Let l = 0.7 + -0.4. Let o = -1.2 - -1. Which is the nearest to n? (a) -2 (b) l (c) o b Let x be 4/20 - (-2)/90. Let y = 1.94 + 0.06. Let h = -0.9 - -1.3. Which is the nearest to 0? (a) x (b) h (c) y a Let y = -25 - -123/5. What is the nearest to 2.4 in -3, -2, y? y Let z(t) = -t - 4. Let q be z(-3). Let w = -0.483 + 0.083. What is the nearest to 2/3 in 4, q, w? w Let a = 9 + -8. Suppose 0 = 3*x + t - a, 0*t + 2*t - 10 = 2*x. Let z be (1 - x)/(-1 - -2). What is the closest to -1 in z, -5, 1? 1 Let p = 1.3 - 2.6. Let n = p + 0.3. What is the closest to 1/4 in -0.1, -1/4, n? -0.1 Let g be 16/(-18)*(-3)/(-4). Let c = 2 - 1.9. What is the closest to c in 2/3, g, 2? 2/3 Let k = -1 - -3. Let d = 3.4 + 0.6. Let w = k - d. Which is the closest to w? (a) 1/5 (b) 0.5 (c) 2/9 a Let o = -1.3 - -1.2. Let i = 0.3 - 0.4. Which is the closest to o? (a) 0.1 (b) 1 (c) i c Let l be (-8)/6*21/(-154). Let y be (-12)/20 + 51/60. What is the nearest to y in -3, -0.2, l? l Let r = 0 + 0.1. Let w = -0.03 - 0.07. Which is the closest to w? (a) r (b) 0.4 (c) -5 a Let s = 0.5 + -0.9. Let f = -0.1 - 0.5. Let y = -0.4 + f. Which is the nearest to y? (a) -3 (b) s (c) -0.2 b Suppose i + 81 = 68. What is the nearest to i in 2, 2/21, -1? -1 Let f = -5/3 + 19/15. Let d = f + -21/10. Let i = -0.24 - -0.34. What is the closest to 0 in i, -0.4, d? i Let p = 0.12 - 0.12. Which is the nearest to p? (a) -2 (b) -10/3 (c) -1/4 c Let s = 196.62 - 197. Which is the nearest to 0.1? (a) -2 (b) 0 (c) s b Let z = 1.4 + -1. Let s = 0.5 - z. Which is the closest to 1/2? (a) -4 (b) 2/7 (c) s b Let z = 0.23 + 1.77. What is the closest to 1 in 3, 4, z? z Let k = -0.3 - -0.2. Let o = 0.7 + 4.3. Let i = -197/665 + 1/95. Which is the nearest to i? (a) k (b) o (c) 3 a Let t(q) = -5*q**3 + q + 1. Let v be t(-1). Let r = -0.3 - -0.4. Let m = r - 0.3. What is the closest to m in 0.4, v, 0? 0 Let p = 4 - 0. Let u = p - 3.9. Let i = -0.1 + u. Which is the closest to -0.1? (a) -1/3 (b) i (c) -3 b Let z = 1/158 + -167/1422. Let m = -4.6 - -5. Let u = 82/3 - 27. Which is the nearest to -2/5? (a) z (b) m (c) u a Suppose 0 = -2*o + 2*c - 20, -o - 15 = -2*c. Let m = o + 7. What is the nearest to -2 in -0.3, m, 3? -0.3 Suppose -2*d - 3 = -d. Let w be (2/9)/((-2)/d). Which is the nearest to 0? (a) -2 (b) w (c) -0.2 c Let k = 0.8 - 3.8. Let v(u) = u**2 - 6*u + 5. Let t be v(5). Let g = -188 + 1318/7. What is the nearest to g in 3, k, t? t Let m = 2 + 1. Let g = -6 + m. What is the nearest to -2/3 in g, 2, 0? 0 Let p = 3 + -2.6. Let z = p + -4.4. Let i = 83/387 - -1/129. What is the nearest to 0 in z, -0.1, i? -0.1 Let z = 6 + -1. Let s = -23.1 + 23. What is the nearest to s in 1/2, -4, z? 1/2 Let q = 119 + -597/5. Which is the closest to q? (a) 1 (b) 0.5 (c) 2/21 c Let q = 7 - 6.7. Let d = q - 2.3. Which is the nearest to -0.1? (a) -3 (b) 0.4 (c) d b Let d = -4.9 - -0.9. Let f = d + 2. Let y be (30/4)/3 + -3. Which is the closest to y? (a) 3 (b) -0.3 (c) f b Let l be 3/(-15)*-1 + 89/5. Which is the nearest to 0? (a) 0 (b) -1/10 (c) l a Let z = 6 + -3. Let g = 4 - z. Let h = -4 + 7. Which is the closest to 2/3? (a) h (b) g (c) 1/5 b Let u be (3/(-2))/((-14)/(-93)). Let w = u - -41/4. Which is the nearest to w? (a) 5 (b) 1/4 (c) 1 b Let y = 0.91 + 0.09. Let r = -2 - -1.9. What is the nearest to y in 4, 0, r? 0 Suppose 4*t - 24 = -5*m - 0, 5*m - 12 = -2*t. Suppose -3*p + 0*p = t. What is the nearest to -3 in -0.2, p, 0.5? p Let y = -23 - 5. Let p = y - -23. Let r = 1.98 - -0.02. Which is the nearest to r? (a) 1 (b) -0.3 (c) p a Let h be -6 + 6/(2 - 0). Let k be (9/6)/(h/8). Let z = -0.1 + -0.1. What is the nearest to -2/3 in k, 0.5, z? z Let l = 0.168 + -0.068. Let p = 11 - 6. What is the closest to l in p, -5, -4? -4 Let g = -91 + 91.4. Which is the closest to 6/5? (a) 0.5 (b) -2 (c) g a Let o be ((-5)/(-10))/(-1 - -2). Suppose 7*s = -2*g + 2*s - 5, -4*g = -3*s - 3. Let u be ((-4)/70)/(3/(-15)). Which is the nearest to g? (a) 4 (b) u (c) o b Let h be (-1)/3 + (-3)/(-6). Let r = -5 + 6. Which is the nearest to 2? (a) r (b) h (c) -1 a Suppose -3*y + 6 = -z, -z - 2*z = -2*y - 3. L
{ "pile_set_name": "DM Mathematics" }
nd t? 17 Let g be (-4)/2 - 1*10. Let u be (1*9)/(g/(-72)). Calculate the highest common divisor of 6 and u. 6 Let f be ((-34)/8)/(55/(-440)). Calculate the greatest common divisor of f and 374. 34 Suppose v + 5*i = 3*i - 272, v = -3*i - 271. Let p be 36/(-306) - v/17. What is the highest common divisor of 40 and p? 8 Suppose -4*n + 168 + 72 = 0. Suppose -5*u + 3*w = -62, 2*w + 32 = 2*u - w. What is the greatest common divisor of u and n? 10 Let s = -20 + 72. What is the greatest common divisor of s and 468? 52 Let y(g) = -2*g**2 - 9*g. Let b be y(-8). Let j = -32 - b. What is the highest common factor of 120 and j? 24 Suppose 24*q = -5*d + 25*q + 3311, d - 643 = 5*q. Calculate the greatest common factor of 39 and d. 39 Suppose 64*u - 59*u - 65 = 0. Suppose u*m - 10*m - 54 = 0. What is the greatest common divisor of m and 72? 18 Suppose 532*g = 539*g - 4123. What is the highest common divisor of g and 31? 31 Suppose 3*z + 6 = 0, 212*h - 1561 = 209*h + 5*z. Calculate the greatest common factor of 44 and h. 11 Let v be (-20)/16*(2 - 6). Let u = v - 4. Suppose -o = -u - 11. What is the highest common factor of o and 12? 12 Suppose -1661*f = -1652*f - 99. What is the greatest common divisor of 19 and f? 1 Let o = 31 - 30. Let g be ((-45)/6)/(o/(-6)). What is the highest common factor of 9 and g? 9 Let s(b) be the second derivative of -b**5/10 - 5*b**4/12 - 5*b**3/6 - b**2 - 16*b. Let k be s(-2). What is the highest common divisor of k and 3? 1 Let m(i) = 3*i**2 - 39*i + 133. Let j be m(4). Calculate the highest common factor of 175 and j. 25 Suppose -177 = 6*t - 207. What is the greatest common divisor of 1 and t? 1 Let y = -3 - -2. Let u be 1 + (-2 - -5 - (y + 0)). What is the greatest common factor of 2 and u? 1 Let s(b) = b**2 - 10*b + 3. Let d be s(28). What is the greatest common divisor of 39 and d? 39 Suppose -8*y - 78 = -14*y. What is the greatest common divisor of 793 and y? 13 Let d = 91 - 86. Calculate the highest common factor of 155 and d. 5 Suppose 101 + 79 = 3*p. What is the greatest common factor of 40 and p? 20 Let t(a) = 37*a + 108. Let y be t(11). Calculate the highest common factor of y and 25. 5 Let a(q) = 11*q**2 + 2*q + 2. Let h = 18 + -20. Let l be a(h). Calculate the greatest common divisor of 28 and l. 14 Let i be 1290/27 - (-30)/135. What is the highest common factor of i and 12? 12 Suppose 19 = d - 5*s + 2*s, -3 = -s. Calculate the highest common divisor of d and 8. 4 Suppose 10*t - 13*t = -528. Suppose 15*z - 11*z = t. Calculate the highest common divisor of z and 308. 44 Suppose -4*m + 0 = 16. Let b be 0 - 16/m - -3. Let q be 1/3*(20 + 1). What is the highest common divisor of b and q? 7 Let c(y) = -y**2. Let n(m) = -2*m**2 + 8*m - 11. Let x(b) = -3*c(b) + n(b). Let f be x(-10). Calculate the greatest common divisor of 81 and f. 9 Suppose -3*a - 20 = -8*a + 3*y, -2*y - 20 = -5*a. What is the greatest common divisor of a and 98? 2 Suppose 0 = -21*i + 22*i - 2. Suppose -i*o + 15 = -2*z - 7, 0 = 2*o + 5*z - 50. What is the greatest common divisor of 75 and o? 15 Let y = -283 + 307. Calculate the greatest common divisor of 116 and y. 4 Let v be ((-28)/35*116)/(10/(-25)). Calculate the greatest common divisor of 261 and v. 29 Let z = -232 - -233. Calculate the greatest common divisor of 7 and z. 1 Suppose 3*q - 38 = 2*c, 0 = q - 3*c + 4*c - 11. Let v be (-2 + -2)*(-87)/q. Calculate the highest common divisor of v and 145. 29 Let l = 238 + -62. Suppose -139 = -7*u - 27. What is the highest common factor of l and u? 16 Suppose -7 = -12*a + 17. What is the greatest common divisor of a and 70? 2 Let g = 339 - 255. Let o(f) = f**3 + 4*f**2 + 6*f + 7. Let w be o(-5). Let i = g + w. Calculate the highest common divisor of 4 and i. 4 Suppose -8*x + 1410 = 2*x. Suppose -5*q = -3*q - 94. Calculate the greatest common divisor of x and q. 47 Suppose -5*k = -12 + 2, -3*k - 210 = -3*f. Calculate the highest common factor of 45 and f. 9 Let w = 2 - -16. Suppose a = -5*i + 3, 2*a + w = 2*i - 12. Let m = a - -22. Calculate the greatest common factor of m and 30. 10 Suppose 0 = 10*q - 11*q + 11. Let n = 2 + q. Calculate the highest common factor of 91 and n. 13 Suppose 9*a = 685 - 190. Let s = 115 - a. Calculate the highest common divisor of s and 15. 15 Let j be 0 - (1 + -8 + 3). Let n be 46 - j - (3 + 0). Let k be 3/(-12) - 735/(-28). Calculate the highest common factor of k and n. 13 Let h be (-4)/(-1) + 0 + 1. Let l(z) = -z - h*z - z + 3*z. Let i be l(-2). What is the greatest common divisor of i and 8? 8 Let f(b) = -b**2 - 4*b + 2. Let l be f(-4). Let w = 5 - l. Suppose -15 - 7 = -4*u + 2*o, -2*o + w = u. What is the highest common divisor of u and 25? 5 Let d = -46 + 78. Let m = -11 + d. Let x = -19 + m. What is the greatest common divisor of 3 and x? 1 Suppose 0 = -y - 4*y + 195. Let u(m) be the first derivative of -9*m**2/2 - m + 1. Let w be u(-3). Calculate the highest common factor of y and w. 13 Suppose 3*d = 26 + 28. Let o be (d + -2)/(1 - 93/99). What is the greatest common factor of 24 and o? 24 Suppose 5*r - 30 = 2*t, 0*r - r - 3*t = -6. Calculate the highest common factor of r and 162. 6 Suppose -13*z - 10*z + 276 = 0. Calculate the highest common factor of z and 576. 12 Let q(w) = w**3 - w**2 + w + 14. Let t be q(0). Suppose 4*p + 2*b - 15 - 17 = 0, -5*b = -p - t. Calculate the highest common divisor of p and 18. 6 Suppose 9*s - 4*s = -5*t + 45, -2*t = -4*s + 6. Let d(x) = x**3 - 4*x**2 - 2*x + 9. Let n be d(s). Calculate the highest common factor of n and 1. 1 Let v = -26 - -28. Suppose -5*y + 70 = -v*i, -3*y - 14 = -4*y - i. Calculate the highest common divisor of y and 98. 14 Suppose -6*n + j + 148 = -5*n, 5*j - 460 = -3*n. What is the highest common divisor of n and 75? 75 Let b be 1187/12 + -10*18/(-2160). Let v(k) = 10*k**2 - 2*k + 1. Suppose 2*i = -2 + 4. Let o be v(i). Calculate the highest common divisor of o and b. 9 Suppose 5*h - 3*p = -62 + 256, 4*p = 8. Suppose -m = -4*m + 48. What is the highest common divisor of m and h? 8 Let o = -22 + 52. Suppose d + 0*d + q = 40, -d + q = -o. Calculate the highest common divisor of 7 and d. 7 Suppose 336 = 3*s + 60. Let u = 22 - 26. Let r(w) = -7*w - 5. Let v be r(u). What is the greatest common factor of v and s? 23 Suppose 21*v - 18*v - 3*n - 1359 = 0, 4*v - 1810 = 3*n. Calculate the greatest common divisor of 41 and v. 41 Suppose 36 - 28 = 4*z. Suppose -5*j = -z*u - 590, 4*u - 1 - 19 = 0. Calculate the highest common divisor of 48 and j. 24 Let t(o) = 23*o + 985. Let s be t(-21). What is the highest common factor of s and 2? 2 Let p be (-2 + 1 + -1)/(36 + -38). What is the highest common divisor of 31 and p? 1 Let w(t) = 68*t + 183. Let r be w(12). What is the highest common divisor of r and 27? 27 Let k be (-42)/28*(-15 + 1). Let b = k + -18. Let n be 34/b - (-24)/36. What is the highest common divisor of 108 and n? 12 Suppose 61*v = 37*v + 2184. Calculate the highest common divisor of 104 and v. 13 Suppose -14*j = -22*j + 1664. Calculate the greatest common divisor of j and 130. 26 Suppose 4*a = -4*q + 176, 0*a + 2*q = -a + 43. Let p = a + -25. Let g be ((-12)/(-30))/(2/20). Calculate the greatest common factor of g and p. 4 Let w(v) = 3*v**2 - 3*v + 2. Let m be w(1). Let a be (-7)/(2/(-6 + m)). Calculate the highest common factor of a and 14. 14 Let i = 87 + -86. Let y be i*((-24)/(-10))/(36/120). What is the highest common factor of y and 152? 8 Let z = -2007 - -2012. What is the highest common factor of z and 525? 5 Let t(b) = 69*b - 1488. Let k be t(22). Suppose 3*n = n + 150. Calculate the highest common factor of k and n. 15 Suppose -235 + 559 = -4*v. Let f be v/(-5) - 6*(-3)/(-90). What is the greatest common factor of 24 and f? 8 Suppose 7*k - 2153 - 493 = 0. What is the greatest common factor of k and 84? 42 Suppose -3*g - 22 = -n, 2*g = n - 3*g - 32. Suppose 4*k + 3 = n*k. Let l be 9 + (-1)/(2/4). What is the highest common factor of l and k? 1 Suppose 1456 = 3*l - 2*h - 128, l + 3*h = 539. Calculate the greatest common divisor of l and 10. 10 Let s(o) = -o**3 + o**2 - 2*o + 24. Let y be s(-7). Calculate the highest common divisor of 10 and y. 10 Suppose -4*z + 7 = 3*k, 0 = -k - 2*k - 5*z + 5. Calculate the highest common divisor of 135 and k. 5 Let k be
{ "pile_set_name": "DM Mathematics" }
ppose 53*b - 57*b + 2*u + 620 = 0, -b = -2*u - 161. What is the remainder when 747 is divided by b? 135 Let c = -248 - -422. What is the remainder when (1 - (-4)/(-6))/(2/c) is divided by -1 + 7 + 2/1? 5 Suppose 0 = 146*o - 1549 - 2023 - 516. What is the remainder when 189 is divided by o? 21 Let f = 969 + -846. Calculate the remainder when f is divided by 31. 30 Let i = -40 + 59. Suppose -14*a + i*a = 0. Suppose a = -2*p + 5*p - 3*x - 69, -3*p = 5*x - 45. What is the remainder when p is divided by 12? 8 Suppose -76 - 1206 = -56*w + 510. What is the remainder when 894 is divided by w? 30 Suppose -2*w - 201 = -3*w. Suppose 9*j = 669 - w. Calculate the remainder when 101 is divided by j. 49 Suppose -139 = -5*z - 44. Suppose -5*b = k - 86, -5*k + 3 = b - z. What is the remainder when (-6*9/3)/((-123)/328) is divided by b? 14 Suppose -2*i = 3*i - 30. Suppose -1229 = -i*z + 901. Suppose -2*d - 91 = -z. What is the remainder when d is divided by 45? 42 What is the remainder when 117 is divided by (1 - 3)/(-6) + 606/18? 15 Let c(t) = 21*t**2 + 3739*t + 7473. Suppose 0 = 2*n - 18 - 74. What is the remainder when c(-2) is divided by n? 33 Let d = -31 - -48. What is the remainder when (-504032)/(-4974) - (-20)/(-6) is divided by d? 13 Suppose -a + 95 = 3*r, 0 + 4 = -a. Let j = r + -13. Suppose -j*i + 16*i = -132. Calculate the remainder when i is divided by 7. 5 Let y = 1706 + -1457. Calculate the remainder when y is divided by 79. 12 Suppose 8*z = -0*z + 120. Suppose -325 = -z*p + 140. What is the remainder when 60 is divided by p? 29 Let x = 3022 + 1134. What is the remainder when x is divided by 11? 9 Let c = -11 - -33. Suppose -74*o = -61*o - 4732. Let s = -357 + o. Calculate the remainder when c is divided by s. 1 Let d(i) = -i**2 - 10*i + 2. Let w = -7 + 2. Calculate the remainder when ((-14)/(-5))/(-7) + (-652)/w is divided by d(-9). 9 Let w(l) = 4*l**2 - 15*l + 704. What is the remainder when w(21) is divided by 1072? 9 Let k(m) = m - 3 - 1 - 9*m. Let y(b) = -115*b - 455. Calculate the remainder when k(-4) is divided by y(-4). 3 Let w(l) = 1715*l + 15478. Calculate the remainder when 20122 is divided by w(-9). 41 Suppose 2*i + v = 6*i - 69, -5*i - 2*v = -83. Let o be 36 - (-6 + 14 + -3 + -3). Suppose o*l - 11*l - 1518 = 0. What is the remainder when l is divided by i? 15 Suppose 15*n = 71*n - 196616. Calculate the remainder when n is divided by 14. 11 Suppose -20*s = -19*s - 3. Suppose -4*t - s*r = -173, 4*r - 2 - 10 = 0. Suppose 36*n = t*n - 110. Calculate the remainder when n is divided by 5. 2 Suppose -3*t + 162 = 5*g, -g - 132 = -5*g - 3*t. What is the remainder when -50*((-472)/(-40) - 13) - 4 is divided by g? 26 Suppose 1200 = -16*f - 4*f. What is the remainder when 357 is divided by 10/(-2) + 40/(-25)*f? 84 Suppose 90 = -126*q + 136*q. Calculate the remainder when 44 is divided by q. 8 Suppose 128 = 2*t + 2*r - 104, -t + 120 = 3*r. Calculate the remainder when t is divided by 28. 2 Let g = 15498 + -15386. Calculate the remainder when 1692 is divided by g. 12 Let z = 1002 - 486. Let n = 529 - z. What is the remainder when 115 is divided by n? 11 Calculate the remainder when 28/((-84)/(-91671)) - 9/1 is divided by 114. 110 Suppose -3045 = -5*o + 5*v, -v - 4*v = 3*o - 1827. What is the remainder when o is divided by 37? 17 Let a(o) = 6*o + 62. Let f be a(8). Suppose 0 = -104*v + f*v - 354. Calculate the remainder when v is divided by 6*(0 + 40/12). 19 Suppose -3*l + 2*c = -77 - 11, 3*c = -4*l + 123. What is the remainder when (-4)/(-14) + 2924/7 is divided by l? 28 Let l be (127 + (10 - 3))*1/(-2). Let v be ((-8)/(-6))/2*-21. Let k = v - l. Calculate the remainder when k is divided by 9. 8 Suppose -3*c = -3*t + 3603, 0 = t + 2*c - 4*c - 1202. Suppose -20*o + 4*o = -t. Calculate the remainder when o is divided by 26. 23 Let g be -3 + 2 + 9 + (-1 - -3). Suppose y = 2, 5*f - y = 2*y + 14. What is the remainder when (-6*9/(-54))/(2/g) is divided by f? 1 Suppose 315 = 1193*w - 1172*w. Suppose 2*z - 5*z = -162. Calculate the remainder when z is divided by w. 9 Let v(f) = -f**3 - 8*f**2 - 9*f - 5. Suppose -56 = -0*b + 2*b. Let m = b - -53. Calculate the remainder when m is divided by v(-7). 7 Suppose 22*p - 51 = 5*p. What is the remainder when 1537/p - (2 + (-40)/15) is divided by 43? 40 What is the remainder when 1463 is divided by (-24)/(-108)*27 - 1? 3 Suppose 2*t + a + 11 = 0, -5*t - 2*a - 23 = -4*a. What is the remainder when 3/((-3)/t) + 213 is divided by 10? 8 Calculate the remainder when (-1618)/(-6) - 82/123 is divided by 77. 38 Let v(p) = -p - 15*p**2 + 1 - 4*p + 17*p**2 + 1069*p**3 + 6*p - 4*p. Calculate the remainder when v(1) is divided by 16. 13 Let u = -11 - -7. Let v(h) = -916*h**2 + 3*h + 6 - 910*h**2 - h**3 + 1823*h**2. What is the remainder when v(u) is divided by 6? 4 Let y = 31175 + -29978. What is the remainder when y is divided by 254? 181 What is the remainder when 424 is divided by (13/((-234)/891) + -6)*(-20)/6? 54 Suppose 62*g = 1281 + 455. What is the remainder when 329 is divided by g? 21 Suppose 10*z = 17*z + 28. Let f(s) = s**2 - 6*s - 12. What is the remainder when 160 is divided by f(z)? 20 Let n(f) = 15*f**2 + f + 1. Let a be n(-1). Suppose 64*y - 63*y - 23 = 5*h, -2*y - h - 9 = 0. Let q = a - y. Calculate the remainder when q is divided by 6. 5 Let c(x) = 21*x + 517. Let q(o) = -13*o - 345. Let g(k) = -5*c(k) - 8*q(k). What is the remainder when g(34) is divided by 40? 21 Suppose 1140 = 157*c - 100*c. Calculate the remainder when 2657 is divided by c. 17 Suppose -11*h = 14*h - 14*h - 110. Let m = -1079 - -1667. Calculate the remainder when m is divided by h. 8 Suppose 58 = 4*v - 2*j, -2*v - 5*j + j + 44 = 0. Let x be -1*249*4*(-4)/v. Suppose 3*c = x + 150. What is the remainder when c is divided by 34? 31 Suppose -4*k = -223 - 296 + 323. What is the remainder when 54 is divided by k? 5 Suppose -140*g = -78514 + 21394. Calculate the remainder when 475 is divided by g. 67 Let g = -464 - -468. Suppose r + 153 = -0*b + 4*b, 94 = 2*b - g*r. What is the remainder when 479 is divided by b? 35 Let h(q) = -25 - 2*q + 20*q**2 + 25*q**2 - 44*q**2. What is the remainder when h(-9) is divided by 21? 11 Suppose 4*b - 162 = 5*p + 65, 271 = 5*b - 2*p. What is the remainder when 311 is divided by b? 46 Let m be -7 + 12 - 7 - 12. Suppose -6*o + 2*o = -380. What is the remainder when o is divided by (m/(-42))/(1/42)? 11 Suppose f - 120 = -v + 53, 0 = -4*f - 8*v + 688. What is the remainder when f is divided by 77? 20 Let p(f) = 13*f**2 - 196*f + 25. Calculate the remainder when p(17) is divided by 57. 51 Let r be (8/(-10))/(20/(-50)). Let s be 45/30 + 19/r. Let l(w) = 6*w - 17. What is the remainder when l(s) is divided by 17? 15 Suppose w = -0*w - 466 + 1037. What is the remainder when w is divided by 48? 43 Suppose 24*o - 783 = 15*o. Let d = o + -52. Calculate the remainder when 111 is divided by 10/d - (-201)/7. 24 Suppose 5*s - 24*q + 20*q = 147, -4*s + 5*q = -123. Let j(v) = -13*v + 12. What is the remainder when j(-7) is divided by s? 22 Let a(q) = 12*q**2 + 395*q + 48. Calculate the remainder when a(-34) is divided by 267. 223 Let w(y) = 491*y**3 + 4*y**2 + 7*y - 12. Calculate the remainder when w(1) is divided by 29. 26 Let o = 30642 - 25650. What is the remainder when o is divided by 277? 6 Let v = -1252 - -1844. Suppose -3*m = 13*m - v. What is the remainder when 72 is divided by m? 35 Suppose 4625 = 12*d - 823. Calculate the remainder when d is divided by 58. 48 Suppose -a + 17 = -0. Suppose -19*z + 37555 = 166*z. What is the remainder when z is divided by a? 16 Let r(s) = s**3 + 10*s**2 - 12*s + 7. Let c be r(-10). Let i = c + 51. Suppose 4*k - 6*k + i = 0. Calculate the remainder when k is divided by 15. 14 Suppose 0 = -2*u - h - h - 40, 2*u + h = -41. Let k(j) = -j**3 - 22*j**2 - 28*j - 30. Calculate the remainder when k(u) is divided by 17. 15 Let m(y) be the first derivative of 5*y**2 - 48*y + 26. Suppose -3*l = -24 - 150. What is the remainder when l is divided by m(6)? 10 Let q(t) = 2*t**3 - 59*t**2 + 256*t + 107. Calculate the remainder when q(27) is divided by 135. 134 Suppose 7*h - 5*h = 4*y - 500, -3*y + 3*h = -378. What is the remainder when y is divided by (34/(-17))/((-2)/26)? 20 Let s(d) = -15*d - 18.
{ "pile_set_name": "DM Mathematics" }
1, 2 Let d(g) be the first derivative of 5*g**3/3 - g + 7. Let n be d(-1). Factor -20*f**5 - 8*f**2 - f**4 + 4*f + 16*f**5 + 9*f**n. -4*f*(f - 1)**3*(f + 1) Factor -4/3*n + 0 + 10/3*n**2 + 2/3*n**5 - 2*n**3 - 2/3*n**4. 2*n*(n - 1)**3*(n + 2)/3 Let z(y) be the second derivative of 2*y**7/21 + 2*y**6/15 - 9*y**5/5 - 3*y**4 + 21*y. Factor z(i). 4*i**2*(i - 3)*(i + 1)*(i + 3) Let k(j) be the first derivative of -j**4/14 + 2*j**3/7 + 9*j**2/7 + 10*j/7 + 32. What is f in k(f) = 0? -1, 5 Let n be (-24)/8 - -5*1. Let o(r) be the second derivative of -1/33*r**4 + 0*r**5 + 1/165*r**6 + 0*r**3 + 0 + 1/11*r**n + r. Factor o(u). 2*(u - 1)**2*(u + 1)**2/11 Find v such that 2/11*v**5 - 36/11*v**4 + 0*v + 0 + 0*v**2 + 162/11*v**3 = 0. 0, 9 Let c(a) = 5*a**3 + 18*a**2 + 9*a - 30. Let u(p) = -20*p**3 - 71*p**2 - 38*p + 120. Let r(x) = -9*c(x) - 2*u(x). Determine l, given that r(l) = 0. -3, -2, 1 Let a(t) be the third derivative of t**6/30 - t**5/15 - t**4/3 + 16*t**2. Factor a(r). 4*r*(r - 2)*(r + 1) Let k(z) be the third derivative of -5*z**7/357 + 4*z**6/51 + 67*z**5/170 + 29*z**4/51 + 20*z**3/51 + 41*z**2 - 2. Suppose k(i) = 0. What is i? -1, -2/5, 5 Let j be (-2)/4*498/(-360). Let l = -1/40 + j. Determine k, given that -l*k - 4/3 + 2/3*k**2 = 0. -1, 2 Let r(u) be the third derivative of u**9/151200 - u**7/4200 + u**6/900 + 2*u**5/5 + 20*u**2. Let l(k) be the third derivative of r(k). Factor l(v). 2*(v - 1)**2*(v + 2)/5 Let p(u) be the second derivative of 13*u + 1/28*u**4 + 0 - 3/14*u**2 + 0*u**3. Factor p(h). 3*(h - 1)*(h + 1)/7 Suppose 5*r + 3*d - 28 = 0, 7 - 3 = -r + d. Let 5*g**4 - 95/4*g**3 - 25/4*g + 115/4*g**r - 15/4 = 0. Calculate g. -1/4, 1, 3 Suppose -4*o - v = -15, 22*v - 27 = 4*o + 17*v. Let 0 - x + 1/3*x**o = 0. Calculate x. 0, 3 Let g(w) be the second derivative of 0*w**2 + 0 + 1/20*w**5 + 1/6*w**4 + 21*w + 0*w**3. Solve g(o) = 0. -2, 0 Let y(q) = -q**3 - 6*q**2 + 5*q - 10. Let i be y(-7). Suppose 0 = i*d + d. Factor 8*c**3 - 10*c**3 - 2*c**4 + d*c**4. -2*c**3*(c + 1) Let n(a) be the first derivative of a**4/22 + 2*a**3/3 + 19*a**2/11 + 18*a/11 - 56. Factor n(i). 2*(i + 1)**2*(i + 9)/11 Let z(v) be the second derivative of 0*v**3 - 1/100*v**5 - 8*v + 1/40*v**4 + 0 + 2*v**2. Let q(h) be the first derivative of z(h). Factor q(f). -3*f*(f - 1)/5 Let n(y) = 36*y + 6*y**2 - 1 + 4*y**2 - 26*y - 24. Let q(t) = 7*t**2 + 7*t - 17. Let z(u) = 5*n(u) - 7*q(u). Factor z(r). (r - 2)*(r + 3) Let k(v) be the first derivative of 2*v**3/9 - 2*v**2 - 32*v/3 + 65. Factor k(d). 2*(d - 8)*(d + 2)/3 Let -6 + 125*r**3 + 64*r**2 + 35*r + 70 + 205*r + 236*r**2 = 0. What is r? -4/5 Let l(n) be the second derivative of -1/32*n**4 - 1/32*n**5 - 1/120*n**6 + 0*n**2 - 2/3*n**3 + 0 + 5*n. Let b(m) be the second derivative of l(m). Factor b(i). -3*(i + 1)*(4*i + 1)/4 Let a(r) be the third derivative of 0*r**3 + 0*r + 19*r**2 + 0*r**4 - 1/80*r**5 - 1/560*r**7 + 3/320*r**6 + 0. Solve a(x) = 0 for x. 0, 1, 2 Factor -16*o**2 + 448*o + 41*o**2 + 266*o - 16*o**2 - 12*o**2 - 42483. -3*(o - 119)**2 Let a(z) be the third derivative of 1/1050*z**7 + 1/600*z**6 + 0 + 0*z - 1/15*z**3 - 1/24*z**4 + 21*z**2 - 1/100*z**5. Let a(w) = 0. What is w? -1, 2 Let c(j) be the second derivative of j**6/6 - 2*j**5 - 25*j**4/2 - 80*j**3/3 - 55*j**2/2 - j + 14. What is n in c(n) = 0? -1, 11 Let a(x) be the second derivative of -x**6/90 + x**5/15 + x**4/18 - 2*x**3/3 - 57*x**2/2 - x + 1. Let b(d) be the first derivative of a(d). Factor b(n). -4*(n - 3)*(n - 1)*(n + 1)/3 Let r(o) be the first derivative of 9*o**4/28 - 23*o**3/7 + 60*o**2/7 + 48*o/7 - 166. Find s, given that r(s) = 0. -1/3, 4 Let y = 76 + -74. Factor -4*t**3 - 25 + y*t**2 + 27 + 2*t**5 - 6*t**2 + 2*t + 2*t**4. 2*(t - 1)**2*(t + 1)**3 Let h(c) = -3*c**4 + 15*c**3 + 39*c**2 + 21*c - 7. Let f(l) = 3*l**4 - 15*l**3 - 39*l**2 - 21*l + 6. Let w(p) = 7*f(p) + 6*h(p). Solve w(d) = 0. -1, 0, 7 Let r(z) be the second derivative of -z**7/280 - z**6/60 + z**5/40 + z**4/4 - 35*z**3/6 + 33*z. Let a(x) be the second derivative of r(x). Solve a(h) = 0. -2, -1, 1 Let a(m) = -5*m**3 + 11*m**2 + 2. Let t(y) = 4*y**3 - y**2 - 1. Let h(n) = -a(n) - 2*t(n). Factor h(q). -3*q**2*(q + 3) Let o = 32/3 - 21/2. Suppose 8*y + 32/3 + o*y**3 + 2*y**2 = 0. Calculate y. -4 Let d(x) = -16*x**4 - 8*x**3 - 4*x**2 + 4. Let n(g) = g**5 - 2*g**4 - g**3 - g**2 + 1. Let y(i) = -d(i) + 4*n(i). Let y(s) = 0. Calculate s. -1, 0 Factor -k**2 - 1/3 + 1/3*k**3 + k. (k - 1)**3/3 Let u(m) be the third derivative of 2*m**7/105 - 4*m**6/15 - 8*m**5/5 + 16*m**4/3 + 160*m**3/3 - 22*m**2. Suppose u(j) = 0. What is j? -2, 2, 10 Let o(d) be the first derivative of -14/45*d**3 + 9 + 8/15*d**2 + 8/15*d - 1/6*d**4. Let o(v) = 0. Calculate v. -2, -2/5, 1 Let k(w) be the second derivative of w**6/135 - w**5/45 + w**4/54 - w - 62. Factor k(a). 2*a**2*(a - 1)**2/9 Let a = 104 - 144. Let x = a - -43. Factor 0 + 0*r + 1/5*r**2 - 1/5*r**x + 1/5*r**5 - 1/5*r**4. r**2*(r - 1)**2*(r + 1)/5 Let q(p) be the second derivative of -7/1620*p**6 + 1/27*p**4 - 2/3*p**3 + 0*p**2 + 0 + 1/45*p**5 - 2*p. Let v(n) be the second derivative of q(n). Factor v(k). -2*(k - 2)*(7*k + 2)/9 Let c(n) be the third derivative of -n**6/165 + n**5/330 - 55*n**2. Let c(d) = 0. What is d? 0, 1/4 Factor -180*a - 68 + 36*a**3 + 164*a**4 - 53*a**4 - 52*a**4 - 55*a**4 + 52*a**2 - 132. 4*(a - 2)*(a + 1)*(a + 5)**2 Let w(x) be the first derivative of 6*x + 0*x**2 + 3 - 1/15*x**3 - 1/50*x**5 + 1/15*x**4. Let k(v) be the first derivative of w(v). Factor k(a). -2*a*(a - 1)**2/5 Let x(h) be the second derivative of -7*h**6/60 + h**5/20 + 91*h**4/24 + 29*h**3/6 - 6*h**2 - h - 126. Find l, given that x(l) = 0. -3, -1, 2/7, 4 Let -6*a**5 + 2*a**5 + 34*a - 34*a + 459*a**4 + a**5 = 0. Calculate a. 0, 153 Let q = 398 - 1178/3. Factor q + 0*w - 4/3*w**2. -4*(w - 2)*(w + 2)/3 Determine p so that -108*p**3 + 134*p**4 - 22*p**4 + 3193*p - 1599*p + 16 - 236*p**2 - 1594*p = 0. -1, -2/7, 1/4, 2 Let v(w) be the first derivative of -w**3/4 - w**2 - w - 12. Solve v(y) = 0. -2, -2/3 Let m = -2507/13 - -193. Let z be (1*(-2 + 4))/(22 - 9). Let -m*s**2 - 4/13*s - z = 0. Calculate s. -1 Let d = -20 + 20. Determine a, given that d*a + 2*a**2 - 4 + 4*a - 7*a + a = 0. -1, 2 Let z(b) be the second derivative of 0*b**3 - 1/18*b**4 - 1/45*b**6 + 1/15*b**5 + 0 - 6*b + 0*b**2. Find k such that z(k) = 0. 0, 1 Suppose -2/9*k**3 + 0*k + 2/9*k**5 + 0 + 2*k**4 - 2*k**2 = 0. What is k? -9, -1, 0, 1 Suppose 19153*f = 19152*f + 2. Factor -86/19*b + 10/19*b**f - 36/19. 2*(b - 9)*(5*b + 2)/19 Solve 2/3*u**4 + 0 - 17/3*u**2 - 7/6*u - 23/6*u**3 = 0 for u. -1, -1/4, 0, 7 Let m(s) be the second derivative of 0*s**2 - 1/3*s**3 + 1/80*s**5 + 6*s - 7/48*s**4 - 2. Factor m(a). a*(a - 8)*(a + 1)/4 Let r = 35 + -21. Suppose 0 = -3*f - 5*l + 11, -5*l + l + r = 5*f. Determine n, given that 0*n - n - 4 + 6*n**3 - 4*n**4 - 5*n + 8*n**f = 0. -1, -1/2, 1, 2 Let z(m) = -5*m**4 + 4*m**3 + 6*m**2 - 4*m - 1. Suppose 3 = -3*f - 9. Let x(t) = -4*t**4 + 3*t**3 + 5*t**2 - 3*t - 1. Let g(s) = f*x(s) + 3*z(s). Factor g(i). (i - 1)**2*(i + 1)**2 Suppose 0 = -3*x + 5*j + 9, x - 1 - 2 = 5*j. Factor -x*h**4 - 5*h**3 - 10*h**2 + 2*h**4 + 6*h**4. 5*h**2*(h - 2)*(h + 1) Let t(b) = b**3 + 17*b**2 + 31*b + 17. Let m be t(-15). Let q(w) be the first derivative of 4/5*w**m - 5 - 8/5*w**3 - 7/10*w**4 + 0*w. Factor q(u). -2*u*(u + 2)*(7*u - 2)/5 Let x be (3 - 315/(-20))/(22/256). Let l = x - 218. Let -4/11*v**2 - l*v**3 + 0 + 0*v = 0. Calculate v. -2, 0 Let l(y) be the first derivative of -y**3/6 - 7*y**2/4 + 4*y - 22. Let l(r) = 0. What is r? -8, 1 Factor -222/5*l + 44 + 2/5*l**2. 2*(l - 110)*(l - 1)/5 Solve 0 + 3/8*b**3 + 3/8*b**2 + 0*b = 0. -1, 0 Solve -34*c**2 + 16*c + 10*c**2 + 8*c**2 + 13*c**2 + 59*c = 0 for c. 0, 25 Suppose 2*w = 6, 2*d = 2*w + 6 + 24. Suppose -3*j = 2*j - y - 14, j - 4*y - d = 0. Suppose -2/5*q**j - 2/5*q + 4/5 = 0. Calculate q. -2, 1 Let o(b) be the third derivative of b**7/105 - 13*b**6/60 + 238*b**2. Factor o(f). 2*f**3*(f - 13) Suppose -15 = -4*t - 18*x + 21*x, -5*t + 5*x + 25 = 0. Find u, given that -1/6*u**5 + t*u**4 - 1/6*u + 0 + 0*u**2 + 1/3*u**3 = 0. -1, 0, 1 Factor -4*t**2 + t**5 + t**4 - 1451*t**3 + 727*t**3 + 2*t**2 + 1 + t + 722*t**3. (t - 1)**2*(t + 1)**3 Suppose 1080 = 14*
{ "pile_set_name": "DM Mathematics" }
test common factor of i and j? 27 Let h = 15 + -41. Let y be (-273)/h*(-2)/(-3). Calculate the greatest common divisor of y and 77. 7 Suppose 1236 = -2*z + 4*x, -x - 1845 = 3*z + 2*x. Let r be z/(-63) + (-6)/(-27). What is the greatest common divisor of r and 90? 10 Let f(d) = d**2 + 12*d - 18. Let k be f(-14). What is the highest common divisor of 45 and k? 5 Let a(k) = -k + 25. Let v be a(19). Suppose -11 = -2*s - y + 10, -s - 2*y = -6. What is the greatest common divisor of v and s? 6 Let k = 3410 + -3314. Suppose 4*i - 56 = 4*c, 4*i + 2*c - 3 - 41 = 0. Calculate the greatest common divisor of k and i. 12 Let q(d) = d**3 + 18*d**2 + 16*d + 16. Let r(v) = v**3 + 21*v**2 + 19*v - 37. Let b be r(-20). Let k be q(b). Calculate the greatest common divisor of 44 and k. 11 Suppose 5*o - 19 = 26. Let t = 82 - 55. Calculate the highest common divisor of t and o. 9 Let t = 79 - 42. Let z = t + 26. Calculate the greatest common divisor of z and 21. 21 Suppose -3*b = -488 - 79. Calculate the highest common divisor of 108 and b. 27 Suppose 0 = 3*w + 6, -5*b + 185*w - 184*w + 102 = 0. Calculate the highest common factor of b and 335. 5 Suppose 5*u + k - 40 = 0, -3*u - 4*k + 3 = -4. Calculate the greatest common divisor of u and 6. 3 Let f(t) = 3*t**3 - 10*t**2 + 20*t - 16. Let m be f(4). Calculate the greatest common factor of 20 and m. 4 Suppose 30*w - 2508 = 19*w. What is the highest common factor of 57 and w? 57 Suppose d = 41 + 15. Suppose 4*u + 2*k = d, -3*k + 44 = 2*u + 2*k. What is the highest common divisor of u and 60? 12 Let h = 1962 + -1002. What is the greatest common divisor of 15 and h? 15 Let z(t) = 2*t**2 - 9*t - 5. Suppose -h = -2*h - 3. Let u be z(h). What is the highest common factor of u and 5? 5 Let s be (4 - 24/(-6))/1. What is the greatest common divisor of 22 and s? 2 Let x = -21 - -35. Let m = -91 - -97. Let t be 4/m + (-1504)/(-12). Calculate the highest common divisor of x and t. 14 Suppose 0 = -4*c + 8*c - 16. Let y be c/(2 - (-45)/(-25)). What is the highest common factor of y and 160? 20 Let w(x) = 277*x**2 - 9*x. Let t be w(-1). Calculate the greatest common factor of 52 and t. 26 Let k(y) be the third derivative of -y**4/12 - 5*y**3/2 + y**2. Let p be k(-11). Suppose 3*c - p = 2*c. What is the greatest common divisor of c and 1? 1 Let c be (-4)/(-8) + (-18)/(-4). Suppose 149 = 2*j - 5*m, j - c*j = -5*m - 293. What is the highest common divisor of 9 and j? 9 Suppose 0*k = -26*k + 1404. What is the greatest common divisor of 405 and k? 27 Suppose -3*q - 5*o + 4 = -0*q, -4*q + 3*o = -44. Suppose q = -r + 77. Calculate the highest common factor of 46 and r. 23 Suppose -4*o - 142 = -2*f, 2*f = -0*f - 2*o + 172. Let g = 16 - 7. Calculate the greatest common factor of g and f. 9 Let n(d) = -d + 12. Let t be n(6). Let p = t + 44. Let o(z) = z**2 + 6*z + 4. Let k be o(-8). Calculate the highest common factor of k and p. 10 Suppose -3*g - 555 = -3*z, 236 = 3*z + g - 327. Calculate the greatest common factor of 17 and z. 17 Let a(f) = -7 + 2*f**2 + 1 - 11*f + 0 - 11. Let y be a(7). Let h be (-4)/8*(y - 92). What is the greatest common divisor of 110 and h? 22 Let g be (-2)/(12/(-15))*-2 - -117. What is the greatest common divisor of 64 and g? 16 Let l = 698 - 671. Calculate the greatest common factor of l and 315. 9 Suppose 0 = -4*k + 24 + 28. Suppose c - 2*s = 4 + 5, -5*c - 5*s = -75. What is the greatest common divisor of c and k? 13 Let s be (23*-1)/(-9 + (-385)/(-44)). Calculate the highest common factor of 253 and s. 23 Suppose s - 2*s + 20 = 0. Let b = 38 - s. Calculate the highest common divisor of 45 and b. 9 Let n = 12 - 8. Suppose d - 5*x = 45, -4*x = n + 8. Calculate the greatest common divisor of 240 and d. 30 Let x(a) = -a**3 + a**2 + 105. Suppose -6 = 4*p - 6. Let w be x(p). Suppose 3*y = q + 47, -3*y + 6*q = 3*q - 51. What is the highest common factor of y and w? 15 Suppose -h - 9 = -29. Suppose -h = d - 5*d. Suppose -3*o - 2*t + 21 = -2*o, -15 = -d*t. Calculate the highest common factor of 60 and o. 15 Suppose 15 = 6*j - 3. Suppose -j*d = -2*f + 5*f - 84, -3*d = 6. Calculate the greatest common divisor of 90 and f. 30 Let d(b) be the first derivative of 4 + 1/3*b**3 + 0*b**2 - b. Let g be d(2). What is the greatest common divisor of 9 and g? 3 Let i be 1/(1/(-2))*-2. Suppose i*g - 2 = m, -3*m - 2*g + 35 + 1 = 0. Let d be 92/6 - (0 + 4/12). Calculate the highest common factor of m and d. 5 Suppose -2*f - 5*n = -2*n - 1531, -n = -3*f + 2313. Calculate the greatest common factor of f and 44. 22 Suppose -426 = -14*a - 146. What is the greatest common factor of a and 40? 20 Suppose 2 = -2*q - 4*u, 5*q - 4*u = 24 - 1. Let y = 2 + q. Let k be 21 + (3 - (-4 - -3)). What is the highest common factor of k and y? 5 Let o be -10*-3*(-1)/(-5). Suppose 0 = -0*f + 2*f - o. Suppose 38 = 4*u - f*k - 67, -4*k = 12. What is the greatest common divisor of u and 36? 12 Let x be -1*16/(4 + -8). Suppose -5*n + 10*n = 4*w - x, -n - 1 = -w. Suppose -2*z + n*z + 22 = 0. Calculate the highest common factor of 55 and z. 11 Let m be 44/8 - (-4)/(16/2). Calculate the highest common factor of m and 6. 6 Let l = 90 - 85. Calculate the greatest common factor of l and 60. 5 Let u be ((-12)/(-15))/(1/60). Let d = 54 + -23. Suppose 4*f + d - 3 = 4*l, 5*l = -5*f + 25. What is the greatest common divisor of l and u? 6 Suppose 25*p - 720 = p. Let b be -6 + (-104)/(-18) + 812/9. Calculate the greatest common divisor of b and p. 30 Suppose 4*n - 172 = -5*z, 3*n - 3*z - 204 = -n. Suppose 0 = 2*s - 2*t - 20, -4*t + 9 = -3*s + 37. What is the greatest common factor of n and s? 12 Let n(o) = 2*o + 6. Let x be n(5). Calculate the highest common factor of 16 and x. 16 Let u be (-15)/(-105) + ((-1341)/(-21) - 1). Calculate the highest common factor of u and 882. 63 Suppose -4*x - 12 = 0, -4*g + 30 = -5*x - 41. Calculate the highest common divisor of g and 602. 14 Suppose 5*y + 145 = 5*x, -4*x + 100 + 1 = -y. What is the greatest common divisor of x and 12? 12 Let o be 1/3*-1*-33. Let q be (-4)/(-1) + -13 + o. Calculate the highest common divisor of q and 3. 1 Let u(i) = -i**3 + i**2 + 7*i + 6. Let q be u(-4). Suppose 2*y = -4*d + q, 25 = -3*y - 4*d + 112. What is the greatest common factor of 29 and y? 29 Let d(m) be the third derivative of 5*m**4/24 + 7*m**3/2 + 40*m**2. Let f be d(-3). Suppose 0 = -0*j - j + 3. Calculate the greatest common divisor of j and f. 3 Suppose -3*l + 0*l + 12 = 0. Let g be 3/(13/3 - l). Suppose 2*y = g + 1. What is the highest common factor of 45 and y? 5 Let k be (-4 - -4) + -6 + 32. What is the greatest common divisor of k and 26? 26 Let t(d) = -d + 13. Let k be t(7). Suppose -8*c + k*c + 8 = 0. Calculate the highest common divisor of 20 and c. 4 Let r(a) = -2*a**2 - 11*a - 3. Let k be r(-4). Let j = -6 + 8. Suppose 0 = z - j*o - 8, 4*z = o + 42 - 17. What is the greatest common divisor of z and k? 3 Suppose r + 0*r - 46 = -4*d, 5*r + 4*d = 246. What is the greatest common divisor of 20 and r? 10 Suppose h + 3 - 2 = -4*z, 2*h + z = 19. Suppose -2*d + 4 + 0 = 0. Suppose 99 = d*c - c. What is the highest common factor of c and h? 11 Suppose 15*h + 1242 = 24*h. Suppose 3*w + 2*w = 0. Suppose w = 5*p - 6*p + 23. Calculate the highest common factor of h and p. 23 Let o = -360 + 414. Calculate the highest common divisor of o and 162. 54 Let v(b) = 2*b + 54. Let h be v(-20). Let i(w) = 5*w**2 + 4*w**2 + 5 - 6. Let n be i(2). Calculate the highest common factor of n and h. 7 Suppose -21*w = -51 - 159. What is the highest common factor of w and 90? 10 Suppose -5*n - 6 = 2*l, 4*l - 1 - 1 = -3*n. Suppose -6 - 9 = 3*o, -l*q - 4*o + 4 = 0. What is the highest common factor of 6 and q? 6 Let h(f) = f**3 - 5*f**2 + 5*f - 17. Let z(l) = 8*l**2 + 2*l - 4. Let w be z(1). Let d be h(w). Calculate the highest common factor of d and 14. 7 Let o be (-107)/(-3) - -3 - (-18)/(-27). Calculate the greatest common divisor of 114 and o. 38 Let v = -16 - -24. Let c = v - 4. Let b be 8/(-2 - (-8)/3). What is the highest common factor of c and b? 4 Let l(f) = -10*f - 1. Let c be l(-3). Let j = 44 - c. Let i be (-172)/(-20) - 9/j. Calculate the highest common divisor of 16 and i. 8 Let g = 85 - -32. Let f(b) = -b**2 + 4*b - 7. Let n be f(5). Let v = 1 - n. What
{ "pile_set_name": "DM Mathematics" }
arest to -2/7? (a) -0.1 (b) z (c) -0.2 c Suppose -5*m = 0, -2*u - 2*u + 2*m = 0. Let i = -2 + 2. Let q = 1.8 - -0.2. Which is the nearest to i? (a) q (b) 0.2 (c) u c Let y = 10 - 10. Let c(r) = r**2 - 4*r + 4. Let n be c(3). Let g be 2/(2 + 16/(-10)). What is the nearest to y in n, g, -0.3? -0.3 Let w = 10.89 + -11. Let n = w - -0.01. Which is the nearest to n? (a) -3 (b) 0 (c) -4/3 b Suppose 20 + 10 = -6*w. Let l = -1 - -3. Which is the closest to -2? (a) w (b) -0.5 (c) l b Let p = -1 - -0.8. Let b = 0.3 + p. Suppose -8 = 3*v + a, -6*a = 4*v - 5*a + 10. What is the nearest to v in b, 0.3, -2/5? -2/5 Let n = -0.468 - -0.068. What is the nearest to 4 in n, -2/17, 0? 0 Let u = -14 + 19. Which is the closest to 9? (a) u (b) 3 (c) -0.2 a Let q = 140 + -139.98. Which is the nearest to -1? (a) q (b) 0 (c) 1 b Suppose p = 1, -3*d + 3*p + 0 = -12. What is the nearest to -0.2 in 3/5, d, -2/13? -2/13 Let u be 0 - 0 - (-8)/(-14). What is the nearest to -0.2 in u, -5/6, 2? u Let o be ((-22)/44)/((-10)/(-12)). What is the closest to -3 in -0.5, o, 1/3? o Let g be 91/(-195) - 1/5. Which is the nearest to g? (a) 1/5 (b) -0.1 (c) -3 b Let y be (-1)/(-5)*11*-1. Let i = y + 89/45. What is the nearest to -1 in 3/2, 1, i? i Let u = 0.8 - 1. Suppose 0 = 3*t - 2*t + 4*h + 2, t = 5*h + 7. Which is the closest to u? (a) 0.4 (b) -1 (c) t a Let f be (-5)/((5 - 8)*(-2)/6). Which is the nearest to -0.3? (a) 2/3 (b) -2 (c) f a Let n = -0.5 - -0.3. Let p = 13/6 - 5/2. Which is the closest to n? (a) p (b) 0 (c) -1 a Let z = 2 + -2. Let q = -7.7 + 0.7. Let y = q - -10. What is the nearest to z in 1/10, -1, y? 1/10 Let h = 6 - 9. Let w = -29 + 25. Which is the closest to 1? (a) 4 (b) w (c) h a Let o = 0.09 - -0.21. Which is the nearest to 1? (a) o (b) 5 (c) -1 a Suppose -u = 3*q + 10, -u + 1 - 5 = q. Let s = 2 + -1.5. Let k = 1.02 + -0.02. What is the nearest to u in 4, k, s? s Let o = 111 + -111. Which is the nearest to 1/16? (a) -3 (b) -0.1 (c) o c Let k = 1.7 - 2.1. Let w = 1/23 - 55/207. Which is the closest to 0? (a) k (b) 0.2 (c) w b Let d be 12/42 - (-2)/42. Let k = -3 + 2. Let x be 0*((-10)/4 - -2). What is the nearest to k in d, -2/23, x? -2/23 Let o = 0.04 + 0.86. Let s = o - 0.6. Let f = -0.1 - -0.3. Which is the nearest to -1/3? (a) f (b) -1/3 (c) s b Let v = 0.2 + -0.2. Let w = 17/33 - 2/11. Which is the nearest to v? (a) 7 (b) -0.4 (c) w c Let i = 3 - 3.5. Let u be 1/(4 - (-14)/(-4)). What is the closest to u in -0.1, i, -0.2? -0.1 Let c = 130 - 394/3. What is the closest to -0.2 in 3, c, 2/21? 2/21 Let w = 3 - 3.2. Let i be (42/15)/(16/(-100)). Let u = i - -18. Which is the nearest to u? (a) -2/9 (b) 2/3 (c) w b Suppose 0 = -g - 5. Which is the closest to 0.2? (a) g (b) 0.1 (c) -0.5 b Let u = 0.13 + 2.87. Which is the nearest to 3? (a) u (b) -2/7 (c) -3 a Let x = -4473/17 - -263. Which is the nearest to -0.1? (a) -5 (b) x (c) 1 b Let f(t) = -t**3 - 6*t**2 - t - 3. Let x be f(-6). Suppose -x = -2*r - r. Which is the nearest to r? (a) -1/2 (b) -2 (c) 0.5 c Suppose 2*w = -0*w. Let a be 0 + (1 - 2) + 0. What is the closest to 0.1 in w, -4, a? w Let b = -2.8 - -14.8. Let j = -0.01 - 9.99. Let q = b + j. What is the nearest to q in 1/4, 4, -0.4? 1/4 Let x = 0.1 + -0.3. Let n = 93/91 - 17/13. Let d = 0.64 + -0.14. Which is the nearest to n? (a) 1 (b) x (c) d b Let m = -125 + 122. What is the nearest to -0.1 in 2/9, m, -2/3? 2/9 Let u = 2.1 + -2. Let t = 12 + -11.9. What is the closest to t in -2/3, u, -2? u Suppose 3*h + 4 = 5*h. Suppose -4*z = -5*x - 8, -z + 2*x + 0*x + h = 0. Which is the closest to 0? (a) -1/7 (b) z (c) -0.4 a Let y = 49 + -195/4. Which is the closest to -0.1? (a) 0.4 (b) 2 (c) y c Let y be (376/28)/(81/(-14)). Let s = 1/81 - y. Let w = -2 + s. Which is the closest to w? (a) 1 (b) -2/13 (c) 3 b Let g = 31/5 - 29/5. Let t = -2 + 3. Let f be 176/(-363) - 4/(-6). Which is the nearest to t? (a) g (b) f (c) -4 a Let m(q) = 2*q**2 - 2*q + 1. Let a be m(3). Suppose 3*b = a + 2. What is the nearest to 0.1 in 2, -0.3, b? -0.3 Let t = -34 - -34.01. Let k = -2.24 + 0.25. Let l = k - t. Which is the nearest to 0.1? (a) -1/3 (b) 0.5 (c) l b Let i = -234 + 1635/7. What is the closest to 2 in i, -2, -3? i Let k(p) = -2*p + 2. Let c be k(4). Let h be (11 + c)/(2 - 1). What is the nearest to 1/4 in -0.4, -4, h? -0.4 Let s be 7/(-28)*(-8)/(-14). Let m = -3 + 4.1. Let p = -0.1 + m. Which is the nearest to p? (a) 3 (b) s (c) 1/3 c Let n be -5 + (-1803)/(-378) + (-6)/(-21). Which is the closest to n? (a) 5 (b) 0.1 (c) -4 b Let d = 5.6 + -2.6. Which is the nearest to d? (a) -1/3 (b) -1 (c) 0.1 c Let t = -0.26 - 0.74. Let p be (-1)/(-2)*2/(-7). What is the closest to 1 in p, 4, t? p Let x = 6 - 2. Let i(z) = z**3 - 15*z**2 - 17*z + 16. Let m be i(16). What is the nearest to 0 in m, -0.4, x? m Let v be (-12 + 12)/(1*2). Let o = 3 + v. Which is the closest to -1? (a) -2/11 (b) o (c) 2/5 a Let z = 0.09 - 6.59. Let o = 7 + z. What is the nearest to -1/2 in -1/2, o, -4? -1/2 Suppose 2*i = 5*i. Let y be -1 + i - 24/(-60). Which is the closest to -3? (a) 1 (b) -1 (c) y b Let u = 8 - 13. Let t = -8 - u. Let y = t - -3.4. What is the closest to -1 in -1, -2, y? -1 Let b = -0.08 - 1.92. Let t = 0.16 + -0.16. What is the nearest to b in 1/5, 0.1, t? t Let r = -2.6 - -1.6. Which is the nearest to 1/3? (a) r (b) 0.4 (c) 1 b Let f be 4/(-10) - (-41922)/405. Let y = f - 103. Which is the nearest to 2/7? (a) 2/19 (b) y (c) 1/4 c Let j = -12/19 - -146/171. Let v be 5*2/(-10)*2. Let t = 0 - -0.2. Which is the closest to v? (a) j (b) t (c) 1 b Let n = -0.1 - -0.2. Let h = 0.2 - 0.1. Let f = n - h. Which is the closest to f? (a) -2/3 (b) 2 (c) -5 a Let c = -4 + 3. What is the nearest to 2 in 1/2, c, 0.1? 1/2 Let g = -27 - -29.3. Let c = -2.2 + g. What is the nearest to -0.1 in 2, c, -2/3? c Let f = 1 - -1. Suppose -3*z + 13 = -2. Let g = -5 - -4.9. Which is the closest to g? (a) 2/9 (b) z (c) f a Let n = -7.3 + 7. Let o = n + -0.1. Which is the nearest to -0.1? (a) o (b) -0.3 (c) 0.4 b Let w = -0.2 - 0.8. Let q = -0.267 - -0.227. Which is the nearest to -1? (a) w (b) q (c) -1/2 a Let t = 3.11 + -0.11. Which is the nearest to -1/3? (a) 1/2 (b) -3 (c) t a Let p = -3.7 + 6. Let d = 0.3 - p. What is the closest to -1/2 in -3, -4, d? d Let q(g) = -g - 5. Let z be q(-5). What is the closest to -1/2 in -4, z, -3? z Let m = 3 - 3.3. What is the closest to -1 in m, -1, 2/3? -1 Let f = 7.9 + -8. What is the closest to 2 in 1/4, f, 5/2? 5/2 Let j(k) = -3*k - 6. Let s be j(-2). What is the nearest to s in -4/3, -6/23, 1/5? 1/5 Let f = 92.7 + -97. Let x = f + 4. Let g = -37/4 + 10. What is the closest to 0.1 in x, g, -2? x Let y = -51.53 + 52. Let m = y - -0.03. Which is the nearest to 0.1? (a) m (b) 1/3 (c) 3/2 b Let d(z) = z + 9. Let v be d(-9). Suppose k - 1 = 1. Suppose 3*l = -k*l. What is the nearest to v in 5, 3, l? l Let c = 224 - 1337/6. Let g = c + -5/3. What is the nearest to -0.2 in g, 0, -1? 0 Let o = 48 + -47.7. Let w = -2050/9 - -228. Which is the nearest to -1? (a) 4 (b) o (c) w c Let w be (0 + 0)/(2/1). Let m be (138/207)/(2/12 + 0). What is the nearest to 2/5 in -6/11, w, m? w Let u = 3 - 2. Let n = 0.263 - -0.037. What is the closest to 0 in u, -0.2, n? -0.2 Let c = 16.5 - 8. Let u = 8 - c. What is the closest to 0.1 in 4/5, u, -3? u Let q = 6 - 0. Let y = q - 6.6. Let n = y - -2.6. Which is the closest to 2/5? (a) 0.5 (b) n (c) -2 a Let p = -6/11 + 45/22. What is the closest to p in -1/4, 0.1, 0.4? 0.4 Let x = -472/9 + 158/3. Let u = 0.6 + -0.1. Which is the closest to 1? (a) 1/6 (b) u (c) x b Let s be (-2)/(-20) - 3/6. What is the closest to -1 in s, -0.3, 2? s Let v be (20/(-30))/(42/27). Which is the nearest to -1/5? (a) v (b) -3 (c) -1 a Let z = -4 + 0. Let q = -0.33 - -0.53. Which is the closest to 2? (a) q (b) -2 (c) z a Let f = 47 - 17. Let v be 32/f + 2/(-5). Let a = 5.7 - 6. What is the nearest to v in 1/5, a, 3? 1/5 Suppose -d + 4 = -5*d. Let w = -28 - -27.9. What is the closest to w in d, 2, 5/4? d Let u = 30/17 + -69/68. Which is the nearest to 1? (a) u (b) -0.3 (c) 2 a Let j = 0 - 0.05. Let d = -4.05 - j. Let x = -0.38 + 0.08. W
{ "pile_set_name": "DM Mathematics" }
the units digit of s? 8 Let o = 247 - 140. What is the hundreds digit of o? 1 Suppose -m - 560 = -5*q - 6*m, -4*q = -4*m - 472. What is the units digit of q? 5 Suppose 7*g = 4*g + s + 14, -2*g + 3*s = -14. Let t(j) = j - 2. What is the units digit of t(g)? 2 Suppose -6 - 394 = -4*z. What is the tens digit of z? 0 Let t be 2 - (-4)/(-1 - 1). Suppose t*n + 4 = 2*n. What is the units digit of n? 2 Let v be (-16)/6 - 6/(-9). Let x be (v - -1)/(2/(-8)). Suppose 0 = 2*r - x. What is the units digit of r? 2 Let z(p) = p + 1. Let n be z(1). Let q(i) = i + 3*i**2 + n - 5 + 2*i. What is the tens digit of q(-3)? 1 Suppose -201 = -3*q - 3*g, 8 + 12 = 4*g. What is the tens digit of q? 6 Suppose 2*c = -2*c + 152. What is the units digit of c? 8 Let r(n) = -2*n - 12. Let g(s) = -3*s - 12. Let u(t) = 3*g(t) - 4*r(t). Let m be u(6). Let l(h) = -h**2 + 7*h + 4. What is the tens digit of l(m)? 1 Suppose 4*m - m - 9 = 0. Suppose 0 = -c - 2*f + 23, -c - 4*f + 72 = m*c. Suppose 5*x - 2 = c. What is the units digit of x? 3 Let i be 1/(2 + 1)*9. Let v(t) be the second derivative of t**3/6 + t**2/2 - 4*t. What is the units digit of v(i)? 4 Let h(k) = -k**2 - k. Let y be h(-2). What is the units digit of y - -2 - (-9)/1? 9 Let l(v) = -5*v + 2. Let a(i) = -11*i + 5. Let t(k) = -k**2 - 2*k + 3. Let n be t(2). Let r(w) = n*l(w) + 2*a(w). What is the units digit of r(3)? 9 Suppose 30 = 6*w - 138. What is the units digit of w? 8 Suppose 4*c - 51 = 293. Suppose -c = -5*h - 6. What is the units digit of h? 6 Let o be 208/3 + (-4)/(-6). Let w be ((-2)/4)/((-7)/o). Suppose w*k = 3*k + 4. What is the units digit of k? 2 Suppose 3 = -2*p + 5*p. What is the units digit of (6/10)/(p/10)? 6 What is the tens digit of 2 + 1023/21 - (-6)/21? 5 Let p(j) = 4*j**2 - 5*j + 2. What is the units digit of p(3)? 3 Let u(y) = -y + 4. Let j be u(4). Suppose j = h + 12 + 2. What is the units digit of (-10)/h - 2/(-7)? 1 Let d be (-5)/((-15)/(-12)) + 1. Let m = d + 5. What is the units digit of m? 2 Suppose 3*a + 5*u - 107 = 0, 3*a = 3*u + u + 125. What is the units digit of a? 9 Suppose 0 = -4*j - 4*y + 28, 3*y = -2*j + 3*j - 27. Let r = 8 + j. What is the tens digit of r? 2 Let l = 1 + -2. What is the units digit of 5 + -4 - (-9 - l)? 9 Let f(x) = x**3 - x**2 - x + 36. Let z be f(0). Suppose 2*d = 5*d - z. What is the tens digit of d? 1 Let v(d) = 2*d**2 + 5*d + 3. What is the units digit of v(-3)? 6 Suppose -z - c + 5 = c, -4*c = -4. Suppose z = -w + 5. What is the units digit of w? 2 Suppose 3*h - 8*h + 10 = 0. Suppose -h*b + 1 = 7. Let x(i) = i**2 + 3. What is the tens digit of x(b)? 1 Suppose 8*v - 3*v = 1130. What is the hundreds digit of v? 2 Let f = 7 - 10. What is the units digit of (f - -1) + 7/1? 5 Let m be (-2)/8 - 190/8. What is the tens digit of 2/(-8) + (-318)/m? 1 What is the tens digit of (-60)/50*260/(-6)? 5 Let i(s) = s**2 - 9*s + 3. Let v be i(9). Suppose 3*o + v = 4*o - 3*t, 3*o + 3*t = -3. Suppose o*u = -5*u + 15. What is the units digit of u? 3 Let c be 21/5 + (-4)/20. What is the tens digit of ((-2)/c)/((-3)/60)? 1 Suppose 4*i = 2*u - 110, -4*u + 2*u + 29 = -i. What is the units digit of (-72)/i*3/2? 4 Suppose -4 = 4*n, -n - 72 = 5*b + n. Suppose -s + 10 = -3*s. Let k = s - b. What is the units digit of k? 9 Let w = 11 - -6. What is the units digit of w? 7 Let m(r) = -r**2 + r + 52. What is the units digit of m(0)? 2 Let z = 23 + -7. Suppose 4*j - 4 - z = 0. What is the units digit of j? 5 Let x = -6 + 22. What is the units digit of x? 6 Suppose -2*i + 3*i = 3*j + 42, 2*i - 77 = -j. What is the units digit of i? 9 Let f(z) = -3*z**3 - 3*z**2 + 2*z - 1. Let l be f(2). Let o = -15 - l. What is the tens digit of o? 1 Let t = -3 - -2. Let b be (t/3)/(4/24). Let k = b - -5. What is the units digit of k? 3 Let p = 5 + -4. Let z be ((-2)/5)/(p/(-60)). Suppose 0 = -3*t + t + z. What is the tens digit of t? 1 Let v = 0 - -13. Let p = 0 + v. What is the tens digit of p? 1 Let k(c) = 69*c**3 + 2*c**2 - 2. What is the units digit of k(1)? 9 Let f be 43/(-4) - (-1)/(-4). Let w = 19 + f. What is the units digit of w? 8 Suppose 0 = -3*j + 148 - 19. What is the units digit of j? 3 Let g be -2 - ((2 - 0) + -2). Let k be g/(-3)*27/6. What is the units digit of -1 + 3 - k/3? 1 Suppose -28 = -2*b + 6. What is the tens digit of b? 1 Suppose 2*d = 6*d. Let a(r) be the third derivative of r**6/120 + r**5/60 + 2*r**3 + r**2. What is the units digit of a(d)? 2 Let h = 177 - 115. Suppose -h = -5*j + 2*b + 3, -2*b = 5*j - 65. What is the tens digit of j? 1 Let t(p) = 4*p**2 + 14*p + 7. What is the units digit of t(-4)? 5 Suppose 0 = -3*b + 7*b - 2*m - 124, -2*b + 54 = -5*m. Suppose y = -y + b. What is the units digit of y? 6 Let d(n) = -2*n - 3*n + 2 - 7*n + n. What is the tens digit of d(-2)? 2 What is the units digit of (-72)/3*(-3)/9? 8 What is the units digit of (-63)/12*(-8)/3? 4 Suppose -6*f + 962 = -328. What is the hundreds digit of f? 2 Let i be ((-6)/(-4))/(3/(-8)). Let u = i - -6. Suppose -u*o + 27 = -3. What is the tens digit of o? 1 Let o be (-82)/(-8) - (-2)/(-8). Let w be (10/(-4))/((-1)/(-2)). Let g = w + o. What is the units digit of g? 5 Let p(v) = v - 7. Let f be p(7). Suppose -6*k - 3*s = -k - 19, k + 4*s - 14 = f. What is the units digit of k? 2 Suppose 2*l + 37 - 4 = 3*y, 3*l + 57 = -3*y. Let d = -1 - l. Suppose 12 = 2*n + h, 2*h - h = -3*n + d. What is the units digit of n? 5 Let q(h) = h**3 - 12*h**2 + 9*h - 3. Let i be q(11). Let m = -4 - i. What is the units digit of m? 1 Let k = 113 + -74. What is the tens digit of k? 3 Suppose -2*q + 0*q = 2, 5*q + 21 = -2*n. Let j = -7 - n. What is the tens digit of (1 - j) + (1 - -18)? 1 Let t = 27 + -19. What is the units digit of t? 8 Suppose -8*n + 20 = -3*n, -4*t - 3*n + 28 = 0. What is the units digit of (t - 2) + (-104)/(-4)? 8 Suppose 3*w + 281 = 2*d + 3*d, 4*w = 5*d - 283. What is the tens digit of d? 5 Let s be 4/(-8) - (-11)/2. Suppose s*l + 2*h = 7, -12 = 4*h - h. What is the units digit of l? 3 Suppose -3*r - 936 = -3*b, 3*b + r = 8*b - 1552. What is the tens digit of b? 1 Let r(c) = 3*c**2 - 2*c - 12. Let v(p) = p**2 + 14*p + 18. Let z be v(-13). What is the tens digit of r(z)? 5 Suppose 5*h + 3*n = 48, 0*n = -5*h + 2*n + 43. Let s = h - -6. What is the tens digit of s? 1 Let q = 63 + 91. What is the hundreds digit of q? 1 Suppose -2*l = -p - 4 - 1, -10 = 3*p - 5*l. Let r(u) = u**2 + 18*u + 4. Let z be r(-18). Suppose q - p = -m - 3*q, -50 = -z*m - q. What is the tens digit of m? 1 Let g = 3 + 17. Let y = 5 - 2. Suppose f - y*f + g = 0. What is the units digit of f? 0 Let c(w) be the first derivative of w**3 + 3*w**2/2 - w + 3. What is the units digit of c(-3)? 7 Suppose -5*x + x + 3*z + 256 = 0, 2*x - 128 = 2*z. Suppose 7*q - 3*q = x. What is the units digit of q? 6 Suppose 0*h + h - 4 = 0. Suppose 0 = h*p + p - 10. What is the units digit of p? 2 Let s(p) = p + 18. Let j(z) = -z**3 - 5*z**2 - 3*z - 4. Let b = -2 + -2. Let r be j(b). What is the units digit of s(r)? 0 Let u(m) = -39*m + 1. Let w(l) = l + 7. Let i be w(-8). Let s be u(i). Suppose s = 4*h + h. What is the units digit of h? 8 Let u = 10 + -20. Let t = 7 - u. What is the tens digit of t? 1 Let x = 52 + -29. Suppose -4 = k - x. Suppose 5 = 3*j - k. What is the units digit of j? 8 Suppose 128 = 4*b + 2*p, -2*b + p = -0*b - 72. What is the units digit of b? 4 Let w(q) = -q**3 + 10*q**2 - 10*q + 12. Let x be w(9). Suppose x*a - 1 - 5 = 0. What is the units digit of a? 2 Let j(c) be the third derivative of -c**5/60 - 11*c**4/24 + c**3 + 3*c**2. What is the tens digit of j(-10)? 1 Let m = 64 - 21. What is the units digit of m? 3 Suppose 5*g - 632 = t, -2*t = -0*g - 2*g + 248. What is the tens digit of g? 2 Suppose 0 = k + 2*z - 51, 0*z = -3*k - z + 143. What is the units digit of k? 7 Let g(l) be the first derivative of 3/4*l**4 + 1 + 0*l + 0*l**3 - 1/2*l**2. What is the units digit of g(1)? 2 Suppose 45 = 2*i - 131. What is the tens digit of i? 8 Suppose 2*c + 10 = 4*c. Suppose -4*l + 21 = 2*w - c*l, 4*w + l = 39. What is the units digit of w? 0 Suppose 4*s - 14 = v, -5*s + 5*v + 12 + 13 = 0. Let k = s + -2. Let d = k - -1. What is the units digit of d? 2 Let a = 22 + -20. Let p be (3/(-4))/((-1)/4). What is the units digit of -2*a*(-6)/p? 8 Suppose -546 - 30
{ "pile_set_name": "DM Mathematics" }
ssuming d is positive. d**(252/17) Simplify ((s*(s**(-8)*s*s)/s*s)/(s*s*s**(1/5)*s))**(17/5) assuming s is positive. s**(-697/25) Simplify ((q/q**(-1))**(-22)*(q*q/(q/(q/(q*q/(q*q**1/q)*q)*q)))/q**(-3))**(-44) assuming q is positive. q**1760 Simplify ((k**14/k*k)/k*k**(-4/9))/(k**(-4)*k)**(-2/23) assuming k is positive. k**(2545/207) Simplify ((v/(v/(v/(v**(1/2)/v*v)))*v*v)/v)/(((v*((v**(2/7)/v)/v*v)/v)/v)/v)*(v*v/(v/(v/(v*(v*v/v**(2/25))/v)*v)))**(-33) assuming v is positive. v**(-10999/350) Simplify b**15*b*b**(-1/2)*b*(b**(-3/7))**21 assuming b is positive. b**(15/2) Simplify (g**(6/7)*g)/g**(2/73)*g**(-2/13)/((((g*g**7)/g)/g)/g) assuming g is positive. g**(-22082/6643) Simplify ((x**22)**(-47))**36 assuming x is positive. x**(-37224) Simplify ((r*r/(r**21/r))/(r**(-33)/r*r))/(r**0)**(1/8) assuming r is positive. r**15 Simplify ((h**(-1/9)/h**(2/13))/((h/h**(-5/3)*h)/((h/(h*h/h**(1/8)))/h)))**(4/33) assuming h is positive. h**(-5435/7722) Simplify (c/(c**(-19)*c)*c/(c/(c/(c/((c**(-6/23)*c)/c)))))**40 assuming c is positive. c**(17240/23) Simplify (a**(-8)/(a**(1/40)/a))/(a**0/a*a/(a/(a*a*a**(-1/2)))) assuming a is positive. a**(-301/40) Simplify (((v**(-1/5))**(-25/3))**(-14/9))**(2/89) assuming v is positive. v**(-140/2403) Simplify ((t*t*t*t**(-3/7)*t)/t**(-1))/(t**(9/2)/(t/t**(2/39))) assuming t is positive. t**(557/546) Simplify (b*b**3)**5/((b**(-3/10)*b*b)/b*(b**(-4)/b*b)/b) assuming b is positive. b**(243/10) Simplify (u**(-5)*u**(-15))/(u/u**10*(u*u*u*u/u**(-1/4))/u) assuming u is positive. u**(-57/4) Simplify (q**0)**(-23)/(q/(q/q**(-2/3)*q)*q*q)**(1/63) assuming q is positive. q**(-1/189) Simplify ((c/c**(-1/3))/c)**(-6)*(c**(-6))**(-30) assuming c is positive. c**178 Simplify (w**(-3)/(w*w**8))/(w*w**(-3/17)*(w/w**(-19))/w) assuming w is positive. w**(-541/17) Simplify v**(-4/9)*v*v**11*(v/(v/(v*v/(v*v**1))))**(-5/2) assuming v is positive. v**(104/9) Simplify (((w*w**(-21)*w*w)/w)/(w*w/((w/((w*w**(-2/23))/w))/w)))**47 assuming w is positive. w**(-22607/23) Simplify (t**(-1/4)*((t**(-3/8)/t)/t)/t)/(t**(2/7)*t**(-9/4)) assuming t is positive. t**(-93/56) Simplify (s**(9/5)*s**(2/7))/(s/s**(-4))**(-8) assuming s is positive. s**(1473/35) Simplify (((g*g*g/(g*g**(-5)*g))**(-45))**9)**(1/53) assuming g is positive. g**(-2430/53) Simplify (x/(x/(x**(1/7)/x))*x**(-1/16))/(x**(-19)/(x*x**(-2/7)/x*x)) assuming x is positive. x**(2105/112) Simplify (i/i**(-21)*i*i*(i*i**(-14)*i)/i*i)/((i/((i*i**17)/i))/i**30) assuming i is positive. i**58 Simplify n**(-15)*n*n/(n/(n/(n*n/(n/n**(2/3)*n)*n*n)))*n*(n*n**(-1/9))/(n*n*n**(12/5)) assuming n is positive. n**(-818/45) Simplify ((y**(-3)*y)/y**5*y**(-7)/(y**(1/4)*y))**(-2/103) assuming y is positive. y**(61/206) Simplify (c/(c/((c**2*c)/c*c)))**13*c*c**(2/9)*c*c**(-12) assuming c is positive. c**(263/9) Simplify ((n/(((n*n**(7/4)*n)/n*n)/n))/n**(-2/33))/(n**(-17/4))**(19/6) assuming n is positive. n**(3107/264) Simplify ((c/((c/(c*c**(-5/6)*c))/c)*c)/c*c*c)**(-10/13)/(c**(-1)/c)**(-43) assuming c is positive. c**(-3479/39) Simplify ((t/(t*t**(-1/5)))**(-8))**(-44) assuming t is positive. t**(352/5) Simplify g**(-2/9)*g/((g*g**31)/g)*(g**(3/7)*g)**(-36) assuming g is positive. g**(-5144/63) Simplify i**(-7)/(i*i**(-4/7))*(i/i**(12/7))/i*i**21 assuming i is positive. i**(83/7) Simplify (b*(b/(b**10/b))/b)/b*b**10*(b**(3/2)/b)**(-13) assuming b is positive. b**(-11/2) Simplify ((q**(-22))**(-1/2))**(-2/39) assuming q is positive. q**(-22/39) Simplify (z**3)**(-8/7)/(((((z*z/(z*z**(3/8)))/z*z)/z)/z)/(z/(z*z/(z*z**(-5))*z))) assuming z is positive. z**(-451/56) Simplify (((f/(f**(-1/7)*f))/(f*f**6*f))/(((f**(3/7)/f)/f)/(f*f**(-1/6))))**(-33) assuming f is positive. f**(2519/14) Simplify (c**(-3/4))**48*((c**(-1/4)/c)/c*c)**(-24) assuming c is positive. c**(-6) Simplify (c**23*c*c/c**(-4/11))/(c**(-7/3)/c**(-23)) assuming c is positive. c**(155/33) Simplify ((t**32)**35)**50 assuming t is positive. t**56000 Simplify (p*p**(-7))/(p/p**(-1/7))*((p*p/(((((p**(2/45)/p)/p)/p)/p)/p))/p)/(p**(-5/7)*p*p*p) assuming p is positive. p**(-1094/315) Simplify ((d*d*d**(-23))/(d/d**(-22)))/((d**13/d)/d**15) assuming d is positive. d**(-41) Simplify (i**(-2/15)/(i/i**(-5)))/(i**13/(i*i**(1/6)/i)) assuming i is positive. i**(-569/30) Simplify (k**(1/3)*k*k*k*k/(k*k**37)*k)/((k*k**33)/(k/((k/(k**(1/20)*k))/k))) assuming k is positive. k**(-3877/60) Simplify (o/(o**(-1/2)*o))/(o*(o/((o*(o/(o/(o**(1/8)/o)*o))/o*o*o)/o*o)*o)/o)*o**(-1/7)/o**(-1) assuming o is positive. o**(-29/56) Simplify (t/(t**(-2)/t))**(-4/17)*(t**(-5)*t)**(1/2) assuming t is positive. t**(-50/17) Simplify (((g/(g*g**(2/9)*g))/(g/((g/(g*g**(1/3)))/g)))**28)**(2/7) assuming g is positive. g**(-256/9) Simplify (i**(-1))**(-2/127)*i**1*i**(-12) assuming i is positive. i**(-1395/127) Simplify (q**10*q/(q**(-1/6)*q*q))/(q/(q**(-3/4)*q))**(1/17) assuming q is positive. q**(1861/204) Simplify y/y**34*y*y*y**(2/125)*y**(-2/87)*y**(-12)*y*y assuming y is positive. y**(-445951/10875) Simplify (v**(1/3))**(1/7)/(v*v**6*v*v**6/v) assuming v is positive. v**(-272/21) Simplify ((w/(w**0*w))**(3/17)*(w*w*w**0)/(w/(w/(w/(w**5/w)))*w*w))**34 assuming w is positive. w**102 Simplify ((f*f**(-3/2)*f*f*f/(f/f**(-1/2))*f)**(-2/85))**(-6/13) assuming f is positive. f**(24/1105) Simplify (t*t/((t**(-3/10)/t)/t)*t)**(5/13)*(t**(-16)/t)/(t/(t*t/(t/t**14*t*t*t))*t) assuming t is positive. t**(-129/26) Simplify v/((v**20*v)/v)*v*v/(v/((((v/(v*v**(-12)))/v)/v)/v))*v*v*v**(-1/5)/v**(-5) assuming v is positive. v**(-11/5) Simplify k*k**9*k**(-4/13)*k*k**(-1/15)/((((k*k/(k*k*k/(k**4/k)*k*k)*k)/k)/k)/k) assuming k is positive. k**(2462/195) Simplify q**(-8/7)/q*q*q/(((q**(-3/5)/q)/q)/q)*q*q*q*q**(-1/31)*q**(-5/7) assuming q is positive. q**(6196/1085) Simplify (j**(-4)*j**0*(j**(2/25)/j)/((j*j**(2/3))/j))**(-41) assuming j is positive. j**(17179/75) Simplify t**(-3/8)*t/(t*(t/t**(-7/2))/t)*(t*t/t**2*t)**(2/5) assuming t is positive. t**(-139/40) Simplify ((w**(4/5)/w)/w)**(2/33)/((w**20*w)/(w*w**(-3/10))) assuming w is positive. w**(-2241/110) Simplify (((o/(o/(o/(o*o**7/o*o))))/o)/o**(-18))**(-8/9) assuming o is positive. o**(-80/9) Simplify w*w**(-23)*w/w**2*w**(-2/29)/((w*w*w/(w*(w*w**(-1/6)*w)/w)*w)/w) assuming w is positive. w**(-4217/174) Simplify ((j/(j**(-2/9)*j))/j)**47*(j*j/(j/j**4*j)*j)/(j*(j*((j**(-11)*j)/j*j)/j)/j) assuming j is positive. j**(-194/9) Simplify p**(-1/5)/((p*p**(5/2)/p)/p)*p**(1/5)*p**(-3)*p assuming p is positive. p**(-7/2) Simplify (m*m**(-6))**(2/33)/(m**15/((m/m**(1/5))/m)) assuming m is positive. m**(-2558/165) Simplify j**(-6/11)/((j**(-21)/j)/j)*j**(11/5)*j**(10/3) assuming j is positive. j**(4618/165) Simplify (b**(-1/17)/(b*b**1*b*b))/(b/(b/(b/(b**(-34)*b)))*b*b*b/((b**4/b*b)/b)*b*b) assuming b is positive. b**(-681/17) Simplify (k**(-1/5)*k/k**(-5))/((k/(k/(k/k**(-14))*k*k))/k**(-14)) assuming k is positive. k**(-106/5) Simplify (p**(-11)/p)**(1/70)*(p**(-1/6)*p)/p*p**18*p assuming p is positive. p**(3919/210) Simplify ((n/(n*n**8))/n**(2/3)*(n/(n**0*n))**(1/24))**33 assuming n is positive. n**(-286) Simplify (g**(-2)/(((g**(-2/7)/g*g)/g)/g*g))**(-31) assuming g is positive. g**(155/7) Simplify ((b/b**(-14)*b)/b**(-26))/(b/b**10)**1 assuming b is positive. b**51 Simplify s/(s**(-11)*s*s)*s**(-8)*(s**5)**(-1/33) assuming s is positive. s**(61/33) Simplify k*k**(-4/11)*k**(5/3)*(k*k*k**(2/5)*k)**(-44) assuming k is positive. k**(-24304/165) Simplify ((c*(c*c/c**(1/5))/c)/c)/c**19*c**(-2)/(c/c**(-2/37)) assuming c is positive. c**(-3932/185) Simplify (h**28/(h/((h**7/h)/h)))/(h/((h/h**15)/h)*h)**(-44) assuming h is positive. h**780 Simplify (t**(1/15)*t**(-17))/(t**(-6/5)*t/(t/(t*t**(-1/3)*t*t))) assuming t is positive. t**(-92/5) Simplify (s/(s*s/(((s**11*s)/s)/s)*s*s)*s**11)/(s/(s/(s**14*s))*s**(-12)) assuming s is positive. s**15 Simplify (z**(-13/2)/(z/(z*z**(2/5)*z)))/(z**(-2/47)/(z/(z/(z*z**(2/21))*z))) assuming z is positive. z**(-48977/9870) Simplify (m*m*m**(-2/3)*m**(1/6))/((((m*m**(8/3))/m)/m)/m**(-2/11)) assuming m is positive. m**(-23/66) Simplify (o*o**(3/7)/o*o*o)**48*o/o**(-8)*(o/(o/o**16))/o assuming o is positive. o**(984/7) Simplify (((l**(-3/14))**27)**(1/25))**20 assuming l is positive. l**(-162/35) Simplify k**18*k*k*k**(1/5
{ "pile_set_name": "DM Mathematics" }
) 0.4 (c) -2/7 (d) 1/4 a Suppose -3 = m + 2*v, 5*m + 25 = 2*m - 2*v. Let p = 2.41 + -2.11. Which is the closest to p? (a) m (b) 1 (c) -2/3 (d) 3 b Suppose -19*y + 17*y = 508. Let d be (2/12*-1)/((-1)/y). Let z = d - -42. Which is the closest to z? (a) -0.4 (b) 11/5 (c) -5 a Let n = -3611/2410 - 2/1205. What is the nearest to n in -1/6, 3, 1/2, 2/7? -1/6 Let o = -1742 + 1742.3. Let i be ((-55)/22)/((-1)/(-2)). What is the nearest to 0.1 in i, o, -1/11? -1/11 Let t = 0.034 - -1.966. Let m = -443 - -424.3. Let z = 19 + m. Which is the nearest to -1? (a) t (b) z (c) 1 b Suppose -36 + 38 = -f. Let s = -0.198 + 8.048. Let k = -0.15 - s. What is the closest to f in k, -5, 0.5? 0.5 Suppose -1 = -12*r + 23. Let j be r*(18/(-6))/3. Suppose s + 0 = 4*q - 15, 4*s = 3*q - 8. Which is the closest to 2/7? (a) s (b) 0.2 (c) j b Let l = -51.1 + -4.9. Let g = 55.3 + l. What is the nearest to -4 in -4, g, 0? -4 Suppose 106 - 119 = -7*h - 5*q, -3*h = 5*q - 17. Which is the nearest to 5? (a) 70 (b) -4 (c) h c Let f(i) = 31*i - 1112. Let m be f(36). Which is the closest to 3? (a) m (b) -1/2 (c) 0.22 a Let i be (-180)/210*(23/16 + -1). Which is the closest to -0.08? (a) -1/2 (b) i (c) 3/4 (d) -1 b Let f = 0.857 + 4.143. Which is the closest to -2? (a) f (b) 4 (c) 83 b Let i = -2.658 - -2.158. What is the closest to i in -4, -2/9, 0.4, -2? -2/9 Let y = 5.5 - 0.5. Let z = y + -5. Suppose -38*o + 426 = -251*o. Which is the closest to -0.3? (a) -0.1 (b) z (c) o a Let x be (335/1675)/(-1*(-1)/(-2)). Which is the closest to x? (a) 0 (b) 13/8 (c) -1 a Let q = 13 + -12.8. Let h = -1.5 - 1.7. Let s = q + h. What is the closest to 15 in s, 2/11, 0.1? 2/11 Let j = 13.5 - 0.5. Let x = 13 - j. Let z = 0.6 + 1.4. Which is the closest to x? (a) -6 (b) -1 (c) z b Suppose -72 = 6*g + 78. Let j be -1*g/(-10)*(-1)/5. Let m = 62 + -493/8. What is the nearest to -0.6 in m, j, -1? -1 Let z = 0.77 + -0.48. Let h = 1323.29 + -1321. Let l = z - h. Which is the closest to 1/4? (a) l (b) -0.4 (c) 4 b Suppose 3*u - 2*s + 11 = 4*u, 2*u = -5*s + 26. Let t = -926 + 927. Which is the closest to t? (a) u (b) 22 (c) 2/9 c Let v = -4969/3 + 1642. Let w = v - -77/6. What is the nearest to w in 2/7, 3, -3, -70/9? -3 Let n = 0.6 - 0.4. Suppose -17*g - 5 - 1 = -6. What is the nearest to g in n, -0.05, -1? -0.05 Suppose 6*o = 13*o - 14. Suppose 0 = -o*h + 14 - 24. What is the closest to 0 in 0, 2/7, h? 0 Let b = -27 + 27.3. Let m be 6/21 - (-346)/14. What is the closest to m in -1, -0.5, b? b Let h = 17.701 + -13.701. Which is the closest to 0? (a) h (b) -5 (c) -2/15 (d) -1/4 c Let d be (-1)/9*(-978)/(-163). Which is the nearest to 2/9? (a) d (b) 0.4 (c) 0.9 b Let q = 37.09 - 36.89. What is the closest to 1.3 in -27, 3, q, 4? q Let o be (-2 - -4)/(-1)*-1. Let y = 0.8 - -0.2. Let n = 71/2 + -1345/38. Which is the nearest to y? (a) 3 (b) n (c) o b Let p = -2/23 + 98/69. Let l = 34.2 + -36. Let f = l - -1.9. Which is the nearest to 1/3? (a) 1/3 (b) p (c) f a Suppose -77*q = -9*q - 10*q + 638. What is the closest to q in -0.08, -1/6, -0.1? -1/6 Suppose 6*u - 40*u = -272. What is the nearest to 0 in 0.5, 0.04, -2, u? 0.04 Let f be (-2)/6 + 66/90. Let b = 21065.97 + -21066. What is the closest to f in b, -1/11, 1/5? 1/5 Suppose -2*p + 25 = -5*k - 5*p, 0 = -5*k + p - 5. Let i = 55577 - 55574. Which is the nearest to k? (a) 2 (b) i (c) 4 a Let z = 755.52 - 775. Let i = z + -0.52. Let x = -20 - i. What is the nearest to -1 in 1, x, 2/7? x Suppose -34*g = -g. Suppose 19*w = 15*w + 8. What is the nearest to 3 in g, 1, w, -7? w Let n = 6 - 2. Suppose -n*s - 93 = 5*u, 4*u = -3*s + 7*s - 96. Let g be 27/u + (1 - 0) + 0. Which is the nearest to -2/5? (a) 0 (b) g (c) 0.5 b Suppose -1 = 2*n - 3*k + 11, -n + 3*k = 9. What is the nearest to 1 in n, 0.0643, 4? 0.0643 Let g = -7792 + 7868. Which is the closest to 2/7? (a) 10 (b) -2 (c) 0.4 (d) g c Let x = 10376 + -10708. Which is the closest to -3? (a) x (b) 2 (c) -0.5 (d) -2/13 c Suppose 476*i - 368*i = 324. Which is the closest to -0.4? (a) -0.07 (b) i (c) 1/4 (d) 1/7 a Let c = -98913/5 - -19783. What is the closest to 8/9 in -0.1, 0.3, 0.5, c? 0.5 Let w = -2.1058 + -0.0642. Let v = 2.07 + w. What is the nearest to -2/3 in v, -4, 3, 5? v Let s = -2888.3 + 2887. Which is the closest to -0.05? (a) s (b) 0.3 (c) -1 b Let x = -38 - -38.1. Suppose 4*u - 28 = 3*w, -u + 5*w + 70 = 63. Which is the nearest to -0.3? (a) u (b) -0.3 (c) x b Let l = -0.684 - -0.384. Which is the closest to 1? (a) -0.2 (b) 10 (c) -2.2 (d) l a Let d be 611/(-231) + 3 - (12 + 3780/(-330)). Which is the closest to d? (a) -1/4 (b) -5 (c) -0.12 a Let b = 5 - 7. Let y = -193 - -210.8. Let q = 18.3 - y. What is the nearest to 1/2 in b, -4, q? q Let k = -1.147 + 1.287. What is the nearest to -1 in 0.3, -3/5, 0.4, k? -3/5 Let g = -7953.3 + 7953. Which is the closest to 0? (a) 15.15 (b) g (c) -4 b Let h = 5548 - 5547. What is the closest to -2 in -1/3, -5/6, -1/2, h? -5/6 Let l be (-327)/(-1308) + ((-151)/12 - 1). Which is the nearest to -2? (a) 0.4 (b) 3 (c) l a Let y(l) = -3*l**2 - 30*l - 20. Let p be y(-9). Suppose 3 = 2*o - w + p, 4*o + 8 = w. What is the nearest to o in 0.8, 2, -1/5? -1/5 Suppose -197*z + 9 = 5*b - 198*z, b - 5*z = -27. Suppose -5*a = f + 4, -2*f = -4*a - 0*f + 8. Let s = a + 0. What is the nearest to 2 in b, s, 2? 2 Let p = -0.056 + -112.944. Let n = p + 112.9. What is the closest to n in 0.3, -13, 0.5? 0.3 Let n = 1742.965 - 1756. Let z = n + 0.035. Let k = -13.1 - z. Which is the closest to 0.5? (a) k (b) -0.4 (c) 1 c Let k = -10 + 14. Let j(v) = -v**3 - 7*v**2 + 10*v + 19. Let q be j(-8). Let r be (2/q)/(-12 - -11). Which is the closest to r? (a) k (b) -5 (c) 0 c Let l = -4.9606 + -0.0394. Which is the closest to -14? (a) -0.24 (b) 3 (c) l (d) -1 c Let f = 3820 + -3820. Which is the closest to 1/2? (a) 0.23 (b) -1/9 (c) f (d) -3 a Let f = -1 + -3. Let n = 45.844 + -46. Let w = n + 0.216. Which is the closest to -2? (a) f (b) 3 (c) w a Suppose -145*k + 143*k - 8 = 0, 5*k + 35 = 5*j. What is the nearest to -2 in -0.43, 0.3, 2, j? -0.43 Let l = 1124.6 + -1164.6. Which is the nearest to 4? (a) 0.3 (b) -5 (c) l (d) -5/3 a Let o = -2.4 + 0.4. Let c = 31602.4 - 31602. What is the nearest to 16 in c, o, 4/7? 4/7 Let d = 154 - 87. Suppose -4*n + d = 51. Which is the nearest to -0.2? (a) 0.06 (b) -3 (c) n a Let p be 1781/822*2/13. Which is the closest to -0.2? (a) -1/6 (b) -2/5 (c) p (d) 5 a Let r = -3908/5 + 27336/35. What is the nearest to 0.1 in 2/3, -134, r? 2/3 Let y be 10/(-8) - (-280)/(-160). Which is the nearest to -0.1? (a) -49 (b) 5 (c) y c Let b = -0.6247 - 372.2753. Let r = 373 + b. Let i = 31/28 + -6/7. What is the closest to -1 in 3, r, i? r Let o be 56/(-1036) - ((-2462)/370 + 7). Let h = -2 - 0. Let f = 0 + h. Which is the nearest to o? (a) f (b) -4 (c) -1/5 c Let v = 7.46 - -5.44. Let i = 9.9 - v. Let r = 0.6 - 0.1. What is the nearest to i in r, -3, -1? -3 Let u = -7.276 + 9.276. Which is the closest to 2? (a) u (b) 2/9 (c) 536 a Let x = 357 + -356. Let k = 0.31 + -0.01. What is the nearest to -1 in -1.3, k, x? -1.3 Let p = -1.014 + 0.014. Let y = 3.1 - p. Let o = y - 3.7. Which is the nearest to 2/9? (a) 3/5 (b) 2 (c) o c Let x = -235/4 + 59. Let y(h) = 133*h - 1461. Let z be y(11). Which is the nearest to 6? (a) z (b) x (c) -4 a Let u = 0.06 + 0.34. Let m = 15923 + -15918. Which is the closest to 3? (a) m (b) -0.4 (c) u a Let j = -32 - -39. Let t = 3.2 - -4.4. Let a = t - 7.5. What is the nearest to -3 in a, -4, j? -4 Let x be (-18)/(-3)*1 - 33/6. Which is the closest to 5/4? (a) -0.3 (b) -2/5 (c) x (d) -1/7 c Let p be 6*(21 + (-645)/30). Which is the nearest to -2/911? (a) 4/3 (b) p (c) 1 (d) -1 d Let b be 2/5 + 1040/25. Suppose 51*h - 111 = b. What is the closest to -0.2 in h, 0, -12, 4? 0 Let g = 10459 - 10465. What is the nearest to g in -2, -9, 2? -9 Suppose 9 = 3*k, -9 = -p - 5*k + 4. Which is the nearest to p? (a) -0.1 (b) -0.11 (c) 3 (d) -4 b Suppose 2*w + q + 14 = 2*q, -5*w - 4*q - 22 = 0. Let m(x) = 17*x - 15. Let i be m(1). What is the nearest to i in -4, -0.4, w? -0.4 Let h = -0.73 - -0.914. Let r = h - -0.026. L
{ "pile_set_name": "DM Mathematics" }
-28307.2 - -28307. Let l = 0.2 + -0.3. What is the third smallest value in 0.3, 0.9, u, l? 0.3 Let s = -4744 - -4745.2. Let m = 0.54 - 0.04. Which is the second biggest value? (a) m (b) s (c) -0.1 (d) -4 a Let u = 57.812 - 58.212. Let w be 6 - 0 - (-2)/(-2). Let l be (-10)/6*2/w. What is the fourth biggest value in 1/2, l, 8, u? l Let r = 1858 - 1850. Let i = 0.5 - 0.6. Which is the smallest value? (a) r (b) 4 (c) -0.4 (d) i c Let q = -207.6 + 205.3. Which is the third smallest value? (a) 0.1 (b) q (c) 4 c Let f(l) = l**3 - 23*l**2 - 114*l + 164. Let o be f(27). What is the third biggest value in 27, o, 19/3? o Let q = 10186 + -10109. Which is the second smallest value? (a) 2/15 (b) q (c) 0.1 (d) 5 a Suppose -340 = 2*q + 15*q. Let o be (-2 + 7)*(-3 - 64/q). Which is the second biggest value? (a) 0.4 (b) -1 (c) o a Let f = 2.504 - 2.464. Which is the smallest value? (a) -1/16 (b) -2 (c) f (d) -1 b Let a = 5944 - 5944.2. What is the third smallest value in a, 1/8, -0.7, -1/9, -1/2? a Let x = -1052 + 1052. Which is the smallest value? (a) x (b) 1.3 (c) -0.9 (d) -3/7 c Let t = 94/11 - 387/44. Let f = -9.27 + 9.28. Which is the smallest value? (a) t (b) -0.4 (c) f b Let i = 20219 + -20219.5. Let n(y) = -14*y**2 + y. Let j be n(-4). Let l = j + 1602/7. Which is the second smallest value? (a) l (b) i (c) -4 b Let h be (46/(-540))/(2/(-6)). Let i be 2/44*-4 - 141/(-594). Let l = h - i. What is the second smallest value in l, -5, -2, -3? -3 Let r = -0.076 + -89.924. Let f = -89.76 - r. Let s = -1.76 - f. Which is the biggest value? (a) s (b) -2/11 (c) -5 b Let a = -0.2577 - 39.5423. What is the biggest value in a, -1/5, 0.5? 0.5 Suppose 0 = -4*z + 3*t + 8, 7 = -2*z - 2*t + 11. Suppose -o = z*g - 1, g - 8 = -g. Let r = 0.01 - 2.01. Which is the biggest value? (a) r (b) o (c) 0.2 c Let u = -23513 + 23511. Which is the biggest value? (a) -1/3 (b) u (c) -0.5 a Let n be 0 - -4 - ((1045/(-57))/(-11) + 2). Which is the fifth smallest value? (a) 2 (b) -0.4 (c) 3 (d) 2.62 (e) n c Let q(y) = y**3 + 9*y**2 + 26*y + 19. Let n be q(-4). What is the second biggest value in 2, -13, -1/5, 0, n? 0 Let i = 110.61 - 110.01. Which is the third biggest value? (a) i (b) 8/3 (c) -2 c Let f = 4 - 37/9. Let d = -131 - -75. Let z be -2 - d/(-30) - (-7 + 3). Which is the smallest value? (a) 4 (b) z (c) f c Let q = 407 - 405. Suppose 5 = n - f - 9, 0 = 3*n + q*f - 17. Which is the smallest value? (a) -0.1 (b) n (c) -5 (d) 0 c Let m = 21.976 + 0.024. Let y = -28.3 + m. Let c = -2.3 - y. What is the second biggest value in -3, -3/8, c? -3/8 Let y = -0.292 + 0.207. Let u = y + 4.085. Which is the smallest value? (a) u (b) 8 (c) -2 (d) -4 d Let y = -18191 - -18191.4. Which is the biggest value? (a) y (b) 4/5 (c) 29.2 c Suppose 22 - 38 = 3*g - 5*n, 0 = 3*g - 2*n + 10. What is the second smallest value in g, -0.4, -44? g Let v(c) = -2*c - 12. Let p be v(-8). Suppose -9*o = -p*o - 10. Let n be (o/(-18))/((-10)/(-75)). What is the second biggest value in 1, n, 1.2? 1 Let h = 3137 - 3137.514. Which is the biggest value? (a) 0.1 (b) h (c) 3/5 (d) -5 (e) -0.5 c Let h = -4327 + 4327.3. Let l be (-19 - -4)/(2/2). Let i be -1*(-3)/l*-3. What is the third smallest value in -7, h, i? i Let o = -124 - 170. Let p = o - -257. What is the second biggest value in 1/2, p, -1/3? -1/3 Let j = 1471 - 1470.6. Which is the third biggest value? (a) 0.1 (b) j (c) 3 (d) -6 (e) -0.2 a Let v = 0.3 - 0.3. Let i = v + 5. Let n = 3.211 + 0.789. What is the second biggest value in -1, i, n? n Let m be 731/(-1190) - (2 + (-217)/98). Let w(t) = t**3 - t**2 + 3*t + 1. Let x be w(-2). Which is the smallest value? (a) 5/2 (b) x (c) m (d) -1/3 b Suppose -3*m + 0 = h - 4, -5*h = -5. Let g = 8.84 + -6.84. What is the second smallest value in 18, m, g? g Let z be ((-5)/15)/(19/(-399)). Which is the fifth biggest value? (a) 3 (b) z (c) -1/2 (d) -5 (e) 2/3 d Let y be (8 + 15)/(-276) - (5/3)/(-5). Which is the third biggest value? (a) -0.1 (b) 7662 (c) 3 (d) y d Let s = -13/17 - -307/357. Let f = 82.24 + -86. Let m = f - 0.24. Which is the third biggest value? (a) s (b) -0.7 (c) m c Let s be (2*(-4)/(-6))/(-1 + (-90)/(-27)). What is the third smallest value in 20.73, 3, s, 5? 5 Suppose -6*q = q + 280. Let m be 2*(-2 + (-68)/q). Let v be (-57)/(-12) + -4 - (-6)/(-8). Which is the second smallest value? (a) m (b) v (c) 2 b Let p = -665/36 + 37/2. Let d = -53/36 - p. Let z = 149 + -144. Which is the biggest value? (a) d (b) 4 (c) z c Let j be (-11)/(-2)*64/176. Let i = -2.03 + 2. Let q = -0.43 - i. What is the second smallest value in -1, q, 5, j? q Let g be (-176)/(-18) + -7 + -3. Let v = -305 - -2749/9. Which is the biggest value? (a) g (b) -2 (c) v (d) 0.4 c Let n = -4339 - -4339. Which is the second smallest value? (a) 10 (b) -2 (c) -0.99 (d) n c Let z(f) = 5*f**2 + 10*f - 49. Let l be z(9). Let p = l + -3121/7. Which is the second smallest value? (a) -1/10 (b) 1/4 (c) p c Let r be (-93)/234 - (1176/312 - 4). What is the smallest value in r, 0.09, 2, 0.18, 1? r Let p = 72.958 + -73. Let c = p - -0.042. What is the second biggest value in -2/13, -6, c? -2/13 Let x be 24/110 + 2/(-5). Let q = 250 + -216. Let f = q + -33.9. Which is the second biggest value? (a) f (b) x (c) 1 a Let l = -38962 + 5493677/141. Let u = l + 4/47. Which is the second biggest value? (a) 2 (b) -6 (c) u c Let g = 77.26 + -77.3. Let f = 389/10 + -77/2. What is the second smallest value in f, g, 2, -3? g Let h = 367724/9 + -40858. Let n be (-2)/(-6) - 177/585. Which is the third biggest value? (a) h (b) n (c) 0 c Let b = 17 - -25. Let j = b - 55. What is the fourth smallest value in 0.3, 2, j, 4? 4 Let x = 14 + -10. Let q = -2719.7 - -2719.67. What is the fourth biggest value in -2, -1/4, x, q? -2 Let r = 45 - 47. Let m = -0.1 + 0.84. Let n = m + 0.46. What is the smallest value in r, -3, n, 2/3? -3 Let f = 270 - 267. Let b be 0 - (-49)/42*(-4)/14. What is the second smallest value in f, -1, 17/4, b? b Let s = 4.169 - 5.169. What is the third biggest value in -0.16, 0, s, -5, -3? s Let y be (49/14*2/14)/(-2). Let z(a) = a**3 - 13*a**2 + 11*a + 5. Let k be z(12). What is the fourth biggest value in k, -6, y, -0.2? k Let f = 73/830 - 81/166. Which is the second biggest value? (a) -4 (b) 5 (c) f (d) 5/2 (e) 6 b Let m(w) = -36*w**2 + 18*w + 34. Let k be m(-2). Which is the third biggest value? (a) 0 (b) k (c) 0.4 (d) -5 (e) -4 e Let y = -43.83 + 43.83. What is the second biggest value in y, 0.1, -0.19? y Let j = 31 - 31. Let l be (-2)/(-1) - (-2 - j). Let f = -75 + 74.8. What is the third smallest value in f, l, 2, -0.5? 2 Let z = 7.477 + -3.477. Which is the third smallest value? (a) z (b) -2/5 (c) -46 a Suppose -7*f + 15 = -20. Suppose f*j = -157 + 167. Which is the smallest value? (a) 3/7 (b) -61 (c) j b Suppose 0 = 2*v, -r - r + 710 = 4*v. Let u = 70 - r. Let g = -3701/13 - u. Which is the second smallest value? (a) 1/5 (b) -2/7 (c) g (d) -5 b Let h = 50 - 15. Let w = 68 - h. Let x(s) = -2*s**2 - 6*s - 1. Let q be x(-2). Which is the third biggest value? (a) w (b) 2/21 (c) q (d) 0.1 d Let n be -7 + (1 - (0 - -4 - (-118)/(-12))). What is the biggest value in 7053, n, -3? 7053 Let n = -0.019 + -0.981. Let g = 16 + -29. Let j = g + 12.8. Which is the second smallest value? (a) -4 (b) n (c) 2/17 (d) j b Suppose -x + 7 = 2. Suppose 3*p + 25 = -2*t, x*p + 24 = -2*t - 11. What is the second biggest value in -12, p, 0.04? p Let x = -3464 - -3469. What is the third smallest value in -11, -107, x? x Suppose 3*g + 8 = -p, 2*p + 19 = -4*g + 7. Suppose 3*i - 24 = -5*i. Let m be 1/(-5) + 66/(-70). What is the fourth biggest value in i, p, -2/3, m? p Let j be 7 + 2 + 4 + -15. Let z = -34.8 - -35. What is the biggest value in 8, -1/4, j, z? 8 Let u = 79 + -22. Let w = u + -56.8. Let y = 877/8 + -110. Which is the biggest value? (a) -0.8 (b) w (c) y b Let i = -15231 + 15232. What is the third biggest value in i, 24, -0.1? -0.1 Let p = -2026 - -2027. Let y = -11 + 8. Which is the second biggest value? (a) y (b) -0.3 (c) p (d) 2/53 d Let v be 204/18 + -48 + 37. What is the third smallest value in -5, 0.12, v, 0.2? 0.2 Let
{ "pile_set_name": "DM Mathematics" }
*p + 12. Solve -t - 1 = -w for t. 2 Let q be 148/12 - (-1)/(-3). Let z = q + -7. Solve 0 = -z*b - 0*b for b. 0 Suppose -6 = -5*r + v, 1 = -4*r - 6*v + v. Suppose a + 2 = -4*b, 0*a - 5*a - 5*b + 20 = 0. Solve r = y + a for y. -5 Let f be (-1 + 1)/(0 - 1). Suppose f = -a - a. Solve 0 = w - 5 - a for w. 5 Suppose 0 = -3*n - 2 + 35. Suppose 4*i + 4 = 0, 5*o - 4*i = 13 + n. Suppose 0 = -j - 4*j. Solve j = -4*k - o - 12 for k. -4 Let o be 4 + 1/(-2)*-2. Solve -o*t - 2 = 3 for t. -1 Suppose 1 + 5 = 2*r. Let c(p) = -3*p + 8 + p**3 - 2 - 2*p - 3. Let y be c(r). Solve -y = 4*i - i for i. -5 Suppose -i - 3 + 6 = 0. Suppose i*c + 26 = 4*c. Let l be (-2)/8 - c/(-8). Solve u - l*u = 0 for u. 0 Let i be -6*(33/(-9) + 3). Let m(h) = h**3. Let v(j) = -j**2 + 3*j + 5. Let d be v(4). Let w be m(d). Solve w + 11 = i*s for s. 3 Let m = -36 - -36. Solve m = 3*u - 5 + 17 for u. -4 Suppose 8*g + 20 = 12*g. Let n(m) = m**2 + 1. Let o be n(0). Solve g = -2*w + o for w. -2 Let y be 3 - (12/(-4))/(-3). Solve -y*q = -3*q for q. 0 Let n be 12/18*(-30)/(-4) - 3. Solve -2*p = n - 4 for p. 1 Let y be (-10)/(-4) + (-9)/(-6). Suppose 18 = y*p - 2*p. Let m = p - 4. Solve 5*a + m = -20 for a. -5 Suppose 32*v - 34*v = 0. Solve v = g - 1 - 1 for g. 2 Let n(a) = 4*a**2 - 3*a**2 + a - 5 - 2*a. Let s be n(-4). Suppose 5*j + b = 20, 4*j + 0*b + b - s = 0. Solve 0 = 2*r + 3*r + j for r. -1 Let s(j) be the second derivative of -j**4/12 + j**3 + j**2/2 - j. Let c be s(6). Let q = c - 1. Solve 0*z + 4*z - 20 = q for z. 5 Let n = 24 - 19. Solve -13 - 12 = n*p for p. -5 Suppose -5 = -u + 6. Let o(v) = -v - 2. Let c be o(7). Let t = c + u. Solve 0*g - t*g = -2 for g. 1 Let v(g) = -g + 4. Let u be v(6). Let f be (-1)/(u - 38/(-20)). Suppose 5*r + 2 = 22. Solve f = -z - r*z for z. -2 Let x = 14 + -11. Solve 0 = 2*u + u - x for u. 1 Suppose 4*d = 24 + 20. Let y = d - 8. Let m be (0/y)/(-3 - -5). Solve 0 = -c - m - 5 for c. -5 Let d(u) = u**2 + 3*u - 5. Let i be d(-5). Suppose 0 = i*x + 6*h - 2*h + 18, -3*h = -3*x. Let z be 0*(-3 - 5/x). Solve z*p + 3 = p for p. 3 Let s = 273 - 273. Let j(t) = t**2 - 4*t - 2. Let y be j(5). Solve s*k - y = 3*k for k. -1 Let t = 4 - 4. Suppose 4*u - 3*y - 18 = t, -u + 3*y + 1 = -8. Let k(z) = z + 1. Let l be k(u). Solve l = o - 5*o for o. -1 Suppose r + w = 2, -3*r + w + 6 = -2*w. Suppose -4*u - u + 2 = -v, 4*v + 8 = -r*u. Solve 6*j - 2*j = u for j. 0 Let i = 10 - 6. Let g = -6 + 6. Suppose -6*s = -2*s + 3*c - 48, g = -2*s + c + 14. Solve 0 = i*n - n + s for n. -3 Let k be (0 - -6)/((-24)/(-64)). Suppose k = 5*b - b. Suppose 4*a = 2*a + b. Solve 4*s = a*s + 8 for s. 4 Let k = 4 + -6. Let j = k + 5. Suppose j = -5*f + 33. Solve -f - 19 = 5*r for r. -5 Let f(s) = s**3 + 6*s**2 - 11*s + 6. Let i be f(-8). Let g = i - -59. Solve 3*p - g = -2*p for p. 5 Let g = -9 - -11. Suppose q - 4 = g. Let i = q - 1. Solve -3*f + 10 = -i for f. 5 Let s(o) = -o**3 - 3*o**2 + 7*o + 12. Let j be s(-5). Let r be (j/(-6))/((-1)/2). Solve 3*d + 0 = -r for d. -3 Let p(w) = w**3 - 5*w**2 - 9*w + 9. Let d be p(6). Let t be 1/(-2)*(d + 1). Solve -4*a + 16 = -t for a. 5 Let c(y) = y**3 + 7*y**2 + 6*y + 5. Let l be c(-6). Solve -l*m = 7 - 2 for m. -1 Suppose 2 = -2*b + 3*b. Suppose j - b*n = -6, 6 = -3*j + 3*n - 3. Solve j = 3*v - v for v. 0 Let v(d) = -d**3 + d**2 + 4*d - 3. Let l be v(3). Let x = -14 - l. Let q = x - -5. Solve 4*g + 0*g - 16 = q for g. 4 Suppose 9*g = 4*g. Solve g*x + 3*x + 15 = 0 for x. -5 Let z(g) = g**2 + 7*g - 5. Let d be z(-9). Let j = d - 11. Solve -j*p = 2*p + 8 for p. -2 Suppose -4*q + 2*n - 9 = 5, -n = 4*q + 5. Let h be q/(-5) - 56/(-35). Solve -t - 3 = h for t. -5 Let a(y) = -y - 1. Let k be a(-2). Solve -g = -0*g + k for g. -1 Let y = 11 + -8. Let z(b) = -y*b + 0*b + 2*b. Let m be z(-2). Solve 4*n - 14 - m = 0 for n. 4 Let v(y) = -y**2 + 8*y + 8. Let h = 19 + -11. Let g be v(h). Solve -s - g = s for s. -4 Let d(l) be the third derivative of l**4/24 - l**3/3 + l**2. Let v be d(2). Solve 5*y - 6*y + 3 = v for y. 3 Let z be (-2)/5 - 119/(-35). Suppose -1 = z*s + 4*n, 0 = 3*n + 5 + 7. Solve -s*v = -0*v - 25 for v. 5 Suppose 2*g = -3*g - 10. Let l(u) = -2*u**3 - u**2 - 2*u - 1. Let s be l(g). Suppose -k = -5*m - s, 5 = 2*k + k + 5*m. Solve 4*c = -k - 7 for c. -3 Let i(j) be the second derivative of 1/6*j**3 + 0 + 3*j**2 + 2*j. Let m be i(0). Solve g + 2*g - m = 0 for g. 2 Let l(p) = 5*p - 6. Let w(b) = 9*b - 11. Let j(q) = 7*l(q) - 4*w(q). Let h be j(-5). Suppose 0 = 5*c, 3*t - h*t + 3*c + 28 = 0. Solve 0 = 4*y + 1 + t for y. -2 Let h(w) = 4*w. Let y be h(1). Suppose -y*z + 5 = -3. Solve -z*b + 12 = b for b. 4 Let v(x) = -2*x. Let n be v(-2). Suppose -2*z = -5*s - 15 + 1, 4*s = -2*z - n. Solve -z*y = -y - 2 for y. 2 Let b = -13 - -17. Solve -b*m - m = 10 for m. -2 Suppose -22 - 11 = 3*z. Let y = -11 - z. Solve y = -b + 4*b + 12 for b. -4 Let r = 6 - 4. Let j = r - 1. Let z = 11 + -8. Solve z - j = 2*l for l. 1 Let g(s) = s**2 - 3*s + 4. Let f be g(0). Solve 0 = -f*m + m for m. 0 Suppose s + 33 = 4*s. Let k be s + 1/(-1)*3. Let w = 9 - k. Solve -2 - w = -3*a for a. 1 Suppose -2*t + 3 = y, 0*t - 5*y = -5*t + 30. Suppose 0 = -t*b - q, -2*q - 1 = -4*b + 9. Solve -v - b = 2 for v. -3 Suppose a - 2*h - 15 = 0, -2*a = 3*a - 2*h - 35. Let v(d) = d - 2. Let u be v(3). Solve 0 = -a*t - 26 + u for t. -5 Suppose 4*j - 35 = 37. Suppose 4*m + q = 24, -2*m = -5*m + 5*q + j. Solve 0 = -z + 1 - m for z. -5 Let c be (-1)/(3/6) - -2. Suppose c = -2*g + g + 50. Suppose -5*y + 4*z = -0*y - g, 3*y + z - 30 = 0. Solve -5*w = 10 + y for w. -4 Suppose 4*d - 9*d = -20. Solve d*a - 3 - 13 = 0 for a. 4 Let c(h) = -2*h - 8. Let t be c(-6). Suppose -t*q = -7*q + 24. Solve 2*l = -2*l + q for l. 2 Suppose -3*m + 10 = 3*j - 4*j, 20 = -5*j. Suppose m*n = 5*n - 12. Let u = 6 - n. Solve 3*s - 2*s = u for s. 2 Let m(f) = -6*f - 15. Let j be m(-4). Solve j*o = 4*o + 5 for o. 1 Let s(k) = k**3 - 5*k**2 + 3*k - 1. Let b be s(3). Let r(y) = y**2 + 10*y + 9. Let h be r(-8). Let g = h - b. Solve -g*z - 5 = 10 for z. -5 Suppose -r - 3*r + 8 = 0, 2*k - 2*r = 0. Let d be 0 + 0 - -7*1. Solve -d*p + k*p = 0 for p. 0 Suppose 3*d = 4*h - 32, 2*d = -6*h + h + 17. Let u = -2 - d. Solve -u*k + 5*k = -9 for k. -3 Let i = 12 + -9. Solve 2*d - d = i for d. 3 Let i be (3 - (-20)/(-8))*4. Let d be 0 + 6/3 + 14. Solve 2*q = -i*q + d for q. 4 Let o(h) = 3*h - 3. Let m be o(2). Solve -4*x + 1 = -m for x. 1 Let x(f) = -5*f**2 + 2*f - 2. Let c be x(2). Let l be 1/(-4) - c/8. Let j = 6 - 3. Solve l*d = -j*d for d. 0 Suppose 0 = -0*j + j - 25. Suppose y + 5*o + 23 = 0, -7*o - j = -2*o. Solve 8 + y = -2*l for l. -5 Let t be 2/6 - 1/3. Let k be t/(2 - 0) - 1. Let f(y) = -5*y. Let j be f(k). Solve 5 + 0 = j*q for q. 1 Let k be 10/(4/2) - 3. Suppose -3*l - 17 - 18 = -k*r, 2*r + 3*l - 5 = 0. Solve 0*f = -2*f - r for f. -5 Let c be (-4)/(-26) - (-4)/(-26). Let i = 20 - c. Solve -r = 4*r - i for r. 4 Let y(c) = c + c**2 + 18 + c**3 - 2*c**3 - 14*c**2. Let v be y(-13). Solve 0 = -6*i + i + v for i. 1 Suppose -21 = h - 4*h. Let r(p) = p**3 - 8*p**2 + 7*p + 3. Let v be r(h). Solve -v*b + 3 = -0 for b. 1 Let i = -4 + 7. Suppose 7*h - 4 = i*h. Let w(j) = j**2 - 6*j + 5. Let o be w(6). Solve 0 = o*b + h + 19 for b. -4 Suppose 2*k + 4*y = 4, -5*y + 4*y = 0. Solve -4*p = 18 + k for p. -5 Let j = 17 + -11. Solve j*v = 2*v for v. 0 Let u(a) be the second derivative of -a**5/20 - a. Let m be u(-1). Let j(w) = -w**2 + 17*w - 26. Let x be j(15). Solve -k + x = -m for k. 5 Let i be (-91)/(-6) + 6/(-36). Let l = i + -15. Solve l = 4*m + 3 + 1 for m. -1 Suppose 8 = 4*d + q - 20, 0 = -d - 4*q + 7. Suppose 3*w = -12, 0 = p - 3*w + d*w + 17. Let s be 20 - (0 + 0)*p. Solve 5*t + s = t for t. -5 Let g = 2 + 5. Suppose 0 = 4*w - g - 1. Solve b - 5 = w*b for b. -5 Let a(w) = w - 4. Let d be ((-3)/(-5))/((-7)/(-70)). Let m be a(d). Solve 2*s - 4 = -m for s. 1 Let v = 6 - 13. Let w be (-9)/12 + v/(-4). Let d = 1 + w. Solve -d*p + 5*p - 15 = 0 for p. 5 Let q = 12 + -9. Solve -q*k + 10 = -8*k for k. -2 Suppose -5*m + 5 = -3*q - 1, 0 = -2*q - 4. Solve m = z - 2 + 6 for z. -4 Let i(t) = t**2 - 4. Let y be i(3). Let s(c) = 2*c**3 + c**2 - 4*c + 3. Let x be s(2). Solve 8*g - y*g = x for g. 5 Let n be 10/4*(1 - -1). Let v(o) = o**3 - 6*o**2 + 4*o + 7. Let y be v(n).
{ "pile_set_name": "DM Mathematics" }
s digit of a? 8 Let x(c) = c**2 + 34*c + 206. What is the units digit of x(-29)? 1 Let f be (2536/16)/(2/4). Suppose 5*a - 315 = -5*v, -4*a = -4*v + f - 97. Let q = 37 + v. What is the tens digit of q? 9 Suppose -k - 4 = -x, 20 = 5*x + k - 4*k. What is the hundreds digit of 740/x + 2 - -3? 1 Let y(r) = 32*r**2 + r + 6 - 37*r**2 + 6*r**3 + 3*r**3. Let f be y(2). Suppose l = -3*a + f, 0 = 4*l - 5*a - 166 - 74. What is the units digit of l? 0 Let i = -185 + 201. Let g(w) = -w**2 + 25*w + 10. What is the units digit of g(i)? 4 Suppose 24876 = -21*y + 17258 + 81937. What is the hundreds digit of y? 5 Suppose 4106 - 193 = w - 2*b, -4*b = -4*w + 15656. Suppose -7*g = 8*g - w. What is the units digit of g? 1 Let v be 9/(45/(-152)) - (-2)/5. Let h be 2/((-2)/3) + (v - 2). Let t = h + 75. What is the tens digit of t? 4 Suppose -4815 = 6*s - 20*s + 244539. What is the ten thousands digit of s? 1 Let n = 13 - 13. Suppose 3*b - 3*d + 4*d - 7 = 0, 5*d - 5 = n. Suppose b*a + y - 234 = 0, 0*y = y + 2. What is the tens digit of a? 1 Suppose -7*c + 6*c + 20 = -4*q, -4*q - 4 = c. Suppose g + 5*k = 190, 0 = -4*g - 3*k + c*k + 760. What is the units digit of g? 0 Suppose 2*y + o - 77157 = 2*o, 38583 = y + o. What is the ten thousands digit of y? 3 Suppose 0*h + 6*h = 504. Suppose 0 = 2*r - 8 - 622. Let w = r - h. What is the tens digit of w? 3 Let z(n) = 3*n**3 - 249*n**2 - 444*n - 287. What is the thousands digit of z(86)? 8 Let p = 1935 + 869. What is the tens digit of p? 0 Suppose 33*o - 38*o + 24895 = -15. What is the hundreds digit of o? 9 Let a = -79 - -101. Suppose -b = -4, a + 34 = -2*t - 4*b. Let p = 43 - t. What is the tens digit of p? 7 Let q = 6432 - -17021. What is the tens digit of q? 5 Let f(y) = -y + 3. Let z(a) = -a + 2. Let h(t) = -5*f(t) + 4*z(t). Let w be h(7). Suppose -4*b + 694 = -v - v, w = -b - 4*v + 169. What is the tens digit of b? 7 Suppose 3*q = 2*y + 8, 0 = 4*q + 6 - 22. What is the units digit of -16 - -557 - (0/y + -5)? 6 Suppose -4*q + 19 = 5*t - 25, t = 5*q - 26. Let i(p) = -p**3 + 8*p**2 - 13*p - 2. Let j be i(q). Let k = -6 - j. What is the units digit of k? 2 Suppose 0 = -6*q + 5671 + 39089. Suppose q = -4*z - 3*g - 0*g, -5*z - 4*g = 9324. What is the tens digit of z/(-20) + (-2)/5? 9 Suppose f + 0*f - 3*x = 17, -x = -f + 11. Suppose 11*a = f*a + 6. Suppose 4*g = 0, 0*g + g = -a*j + 126. What is the tens digit of j? 6 Let k(y) = 3*y + 39. Let u be k(26). Let d = 224 - u. What is the tens digit of d? 0 Let s(i) = 2*i - 25*i**3 - 6 + 10*i**3 - 9*i - 2*i**2 + 11*i**2 + 14*i**3. Suppose 3*z - 4*l - 4 - 12 = 0, -2*l = -5*z + 36. What is the units digit of s(z)? 2 Suppose 42*h - 77088 - 177264 = 0. What is the hundreds digit of h? 0 Let j(w) = -w**3 + 15*w**2 + 18*w - 30. Let n be (16/(-12))/(6/(-72)). Let o be j(n). What is the units digit of -6*(-34 - 6/o)? 2 Suppose -5*s - 5*f + 2420 = 0, 7*s - 9*s + 5*f = -989. What is the tens digit of -1 - s*7/(-7)? 8 Suppose -71 = -4*d - 5*r + 199, -5*r = -3*d + 220. What is the tens digit of ((-714)/(-3))/(28/d)? 9 Suppose -41*h + 39*h = -6. Let r = 11 + -15. What is the tens digit of 156*(13/h + r)? 5 Suppose -4*s + z + 4*z = -14, 4*z = 24. Let j(t) be the second derivative of t**4/6 - 2*t**3 + t**2 + t. What is the hundreds digit of j(s)? 1 Let k = 122364 + -84995. What is the hundreds digit of k? 3 Let m(l) = -l**3 + 3*l**2 - 7*l. Let r be m(5). Let g = 1705 + -1372. Let z = g + r. What is the units digit of z? 8 Let q be (-395)/(-4) + 9/(-12) - -2. Suppose -118*p = -q*p - 27432. What is the units digit of p? 4 Let l = 77 - 73. Let b(z) = l*z**2 - 2*z - 7*z - 3*z + 25 - z. What is the units digit of b(6)? 1 Suppose -3*w + 7 + 2 = 0. Suppose -3*a + 5*d - 6 = 3*d, 4*a - w*d = -9. Let l(b) = b**2 - 2*b + 56. What is the tens digit of l(a)? 5 Let t(u) = -15 + 5*u + 15 + 21. Let v be t(-4). What is the tens digit of -110*v/(-2)*1? 5 What is the tens digit of ((-30)/8)/(501/(-368068))? 5 Let o be -46 - 2/5*-5. What is the hundreds digit of 8/44 - 8396/o? 1 Suppose -4*i + 4*u = 244, i - 3*i - 5*u - 87 = 0. Let t = -52 - i. Suppose -t*j = -114 - 242. What is the units digit of j? 9 Suppose -7*p + 0 = -7. Suppose 3*a + 13 = 2*u, 2*u - p - 8 = -a. Suppose 4*v - u*v = -41. What is the units digit of v? 1 Let t(y) = 4*y**3 - 2*y**2 - 10*y + 2. Let q be t(-3). Let w = q - -99. Suppose 342 = 4*m + f, -w*m - 2*f + 431 = f. What is the tens digit of m? 8 Let r be (1 - 3/(-12)) + 15/20. Suppose r*u - 540 = -40. What is the tens digit of u? 5 Let z = 1539 - 1017. Let r = z + -499. What is the units digit of r? 3 Suppose 3*k + 4*i = 37381, -30*k + 62296 = -25*k + i. What is the thousands digit of k? 2 Let c(g) = 18*g**2 + 47*g - 5. Let u(j) = -20*j**2 - 47*j + 4. Let l(i) = 3*c(i) + 2*u(i). What is the tens digit of l(-8)? 1 Suppose -42*a + 1509 = -6765. Suppose -j - 10 + 223 = 3*h, -5*h = -j + a. What is the tens digit of j? 0 Suppose 0 = -3*l + 4*d + 19501, -3*d + 25968 = 2*l + 2*l. What is the hundreds digit of l? 4 Suppose 5*l + 2*i + 404 = 0, 3*l - 2*l - 4*i + 72 = 0. Let p = l - -84. Suppose 165 = p*g - 5*v - 552, 2*g - 5*v = 371. What is the hundreds digit of g? 1 Let l(w) = w**3 + 10*w**2 + 10*w + 7. Let m be l(-9). What is the tens digit of (-3 - m)*4*-91? 6 Suppose -2*k + 17689 - 5231 = 0. What is the units digit of k? 9 Let o(z) = -38*z**2 - 2*z - 9. Let s(g) = -19*g**2 - g - 4. Let r(c) = -3*o(c) + 5*s(c). Let q be r(-5). Suppose -q = -4*i - 165. What is the units digit of i? 8 Let j(v) = -v**2 + 11*v - 7. Let q be j(10). Suppose -d - 21 = -q*n + 2*d, -3*d + 3 = n. Suppose 54 = -n*m + 15*m. What is the units digit of m? 6 Let y(n) = -4*n**3 - 39*n + 3*n**3 + 19518*n**2 - 19552*n**2 + 28. What is the tens digit of y(-33)? 2 Suppose 47*n = 135 - 41. What is the tens digit of (-63408)/(-336) + n/7? 8 Let r = 55 - 50. Suppose -r*b = 4*t - 486, 3*t = -4*b + 105 + 283. Suppose -190 - b = -2*l. What is the tens digit of l? 4 Let u(j) = -420*j - 18. What is the hundreds digit of u(-1)? 4 Let q = -205 - -435. Suppose 0 = 3*d - 4*r - q, 3*r = 2 + 1. Suppose 2*g - 101 = -w, 2*w - d = -5*g + 125. What is the units digit of w? 9 Let s be (2 - 5)/((-5)/(-4 + 9)). Suppose -4*w = s*u - 792, -3*w = -7*w - 5*u + 800. Let r = w - 57. What is the hundreds digit of r? 1 Suppose -3*f - u = 262, u + 163 = -2*f - 2*u. Let a = f - -91. Suppose -w + 22 = -4*d, -5*w - a*d = -31 - 35. What is the tens digit of w? 1 Let o(m) = -m - 4. Let r be o(-3). Let g be 3/(-7) - r/((-28)/(-1468)). What is the units digit of (-13)/(g/(-75))*16/3? 0 What is the hundreds digit of (11 - 5) + 270/(-75)*-2015? 2 Suppose o = 4*r + 3 - 0, 0 = -r. Suppose -1785 = -o*g - 4*g. What is the units digit of -3*(-2)/15*g - 1? 1 Suppose -3*m = -4*f + 2*f + 12634, f + 4*m - 6317 = 0. What is the hundreds digit of f? 3 Let h = 1255 - -95. Suppose -5*x + 4*g + h = 0, -g = -4*x - 0*g + 1091. What is the tens digit of x? 7 Let j be (2 - 20/12)/((-1)/(-12)). Suppose -17 + 3 = -j*y - 2*o, 0 = -2*o - 2. Suppose -693 - 171 = -y*v. What is the hundreds digit of v? 2 Suppose -1 = x + 3*z - 8, 2*x = -4*z + 6. What is the units digit of ((-705)/10 + x)*-6? 3 Let a be (-3 - 32/(-4))/1. Suppose -4*u + 1305 = -a*j, 2*j + 984 = 3*u - 0*j. Let k = -118 + u. What is the hundreds digit of k? 2 Suppose 5*x + a - 23053 - 21282 = 2*a, 0 = -2*a. What is the thousands digit of x? 8 Let x(j) = 2107*j**2 + 107*j - 459. What is the tens digit of x(4)? 8 Suppose 47*f = 42*f + 4*o + 515, 2*f - o - 206 = 0. What is the hundreds digit of f? 1 Let m(j) = 4*j**3 + 221*j**2 + j + 217. What is the hundreds digit of m(-16)? 3 Let d(j) = 615*j**2 + 94*j + 643. What is the hundreds digit of d(-7)? 1 Suppose -391*a - 893210 + 11100334 + 4429570 = 0. What is the hundreds digit of a? 4 Suppose -350 = -4*p + 342. Suppose -5*g - t - 77 = p, 5*g + 250 = 5*t. Let d = -22 - g. What is the tens digit of d? 2 Suppose 87*v + 124*v = 55*v + 386568. What is the thousands digit of v? 2 Let u(f) = 28*f - 120. Let s be u(34). Let g = s - 704. What is the hundreds digit of g? 1 Let c(s) be the first derivative of -19 + 39/2*s**2 - 3*s. What is the tens digit of c(3)? 1 Suppose -597*v + 3*b = -600*v + 16428, -2*b = -4. What is the hundreds digit of v? 4 Let j = -32531 - -47904. What is the ten thousands
{ "pile_set_name": "DM Mathematics" }
5 Evaluate ((-18)/30)/((-36)/30)*-8. -4 What is the value of (((-126)/(-27))/14)/((-1)/3)? -1 What is (-20)/5*((-12)/2)/12? 2 Calculate (3*(-1)/(-9))/((-2)/18). -3 Evaluate (6/((-12)/(-5)))/5*10. 5 What is 9/(-14)*20/30? -3/7 Evaluate 4/(144/20)*12/10. 2/3 What is ((0/7)/5)/(1/1)? 0 What is 95/(-266)*8/10? -2/7 Calculate 1/1*(-19)/19. -1 What is (2/(-2))/((-33)/(-33))? -1 What is ((-3)/(3/4))/(-1)? 4 (4/280*7)/(4/(-30)) -3/4 -1*(-8)/((-12)/(-6)) 4 What is the value of ((-36)/14)/6*70/(-30)? 1 Evaluate 147/231*10/(-35). -2/11 What is (-132)/1617*(-1)/((-4)/(-14))? 2/7 Evaluate ((-136)/(-340))/((-16)/(-10)). 1/4 55/33*(-5)/50*18 -3 Calculate (-160)/(-16)*(-2)/(-4). 5 Evaluate ((21/12)/(-1))/((-49)/(-196)). -7 Evaluate (5/140)/((-4)/(-48)). 3/7 What is the value of ((-6)/(-5))/((-3)/(-10))? 4 What is the value of (55/(-11))/(-10)*-16? -8 What is the value of 18/10*93/837? 1/5 Calculate (-6)/36*-3*0. 0 What is ((-1)/(-4))/((-120)/(-288))? 3/5 What is (14/4)/(7/4)? 2 What is ((-245)/(-14))/1*2/5? 7 Calculate 9/21*(-42)/36. -1/2 Evaluate ((-147)/(-6))/7*16/84. 2/3 Evaluate 2/(70/(-21))*10. -6 Evaluate 1*(-16)/(-20)*5. 4 Evaluate 2/(7/(-21)*2). -3 What is the value of (6/(-15))/((-9)/30)*3? 4 (0/((-6)/(-3)))/(12/3) 0 What is the value of (0*8/16)/2? 0 What is the value of 2*(-6)/4*1/1? -3 What is the value of ((-18)/(-48)*4/(-1))/3? -1/2 Evaluate 3*5/15*72/8. 9 Evaluate 9/(-12)*-5*4/3. 5 What is the value of ((-4)/1)/(-20)*10? 2 What is the value of (14/2)/(1*1/1)? 7 What is (4/(-8))/(1/1)? -1/2 What is the value of (-915)/(-549)*((-6)/(-10))/3? 1/3 Evaluate 3*(-10)/(-765)*3. 2/17 9*8/6*2/(-8) -3 What is the value of ((-3)/(-3))/(3*77/(-66))? -2/7 What is (8/230)/(40/(-100))? -2/23 Calculate (-4)/(-8)*-10*(-9)/60. 3/4 Calculate (3*2*-1)/((-6)/3). 3 What is 2*-8*7/(-112)? 1 What is 5/(-2)*2*2/(-2)? 5 What is (-4*7/(-84))/(3/63)? 7 Calculate (-2)/6*(-18)/42. 1/7 What is the value of (8/(-5))/(30/75)? -4 Evaluate ((-2)/(-2))/(3/15). 5 What is (4/(-6))/(210/(-315))? 1 Evaluate 9/(-12)*2*2/(-5). 3/5 What is the value of (-2)/((-2)/(-8)*2)? -4 (4/6)/(-1*(-14)/14) 2/3 What is ((-15)/48*-4)/5? 1/4 (-8)/(-12)*(-9)/3*-2 4 Evaluate 8/(-3)*(-17)/((-7140)/(-45)). 2/7 Calculate ((-1)/2)/(1*(-4)/(-24)). -3 What is the value of 1/((-9)/(-30))*(-60)/50? -4 What is the value of (17/34)/(21/(-18))? -3/7 Evaluate ((27/(-6))/9)/(-2). 1/4 Calculate 5/((-15)/(-12))*1/1. 4 ((-168)/196)/(54/28) -4/9 ((-5)/4)/((77/22)/(-7)) 5/2 What is the value of 28/7*2/(-4)? -2 What is the value of -6*4/(12/1)? -2 What is the value of 5*4/(-20)*5/5? -1 (3/(-9))/(28/28) -1/3 ((-22)/11)/((7*2)/2) -2/7 Evaluate (-66)/11*(-2)/(-4). -3 What is (5/((-495)/(-6)))/((-2)/(-6))? 2/11 Evaluate (4/(-16))/(4/(160/(-85))). 2/17 What is the value of (2/(-1))/(15/(90/(-4)))? 3 (-8)/(-80)*-5*2/1 -1 Calculate (225/2700)/(2/(-6)). -1/4 -6*(-2)/24*3 3/2 Calculate ((-12)/(-42))/(12/126). 3 Calculate -4*4/(96/(-30)). 5 Calculate 2*2/2*(-1)/1. -2 (-1)/(-1)*(-10)/(-6) 5/3 Evaluate ((-65)/26)/(4/8). -5 (21/(-35))/((-63)/840) 8 What is the value of 16/6*8*27/144? 4 3/((-9)/1)*3 -1 What is (3/45)/(39/(-117))? -1/5 2/(-3*(5/5)/2) -4/3 Calculate 40/32*6/5. 3/2 1/2*(-11)/(22/16) -4 Calculate (-2)/7*(-105)/180. 1/6 What is the value of 4/((-624)/18)*(-4)/(-3)? -2/13 What is (-20)/((25/10)/(-1))? 8 Evaluate ((6/7)/((-27)/(-42)))/2. 2/3 (103/(-309))/((-1)/21) 7 What is (29/(-145))/(18/15)? -1/6 Calculate ((-3)/24)/(6/36). -3/4 Calculate 5/2*(-16)/(-10). 4 Evaluate 12/2*(-1)/12*-4. 2 2*2*3/12 1 What is 46/(-161)*7/12? -1/6 What is (4/6)/((-2)/9)? -3 What is the value of (3/(1/(-1)))/(330/(-275))? 5/2 ((-2)/(-3))/((-392)/84) -1/7 96/192*6/(-5) -3/5 Evaluate 5/(200/5)*(-96)/(-16). 3/4 Evaluate (-3)/(-2)*(-2)/(-12)*2. 1/2 Calculate ((-6)/147*-7)/((-2)/(-4)). 4/7 (-9)/(-84)*(-20)/(-5) 3/7 What is the value of (-3)/(-3)*(-8)/(-12)*-9? -6 What is the value of 15/35*84/(-54)? -2/3 What is (((-63)/14)/3)/6? -1/4 What is the value of 20/(-4)*(-2)/25? 2/5 What is ((-4)/(-8))/(2/(-40)*2)? -5 Calculate (18/(-45))/((-14)/(-20)). -4/7 Evaluate 1*7/(-14)*4/2. -1 ((-17)/((-170)/(-40)))/1 -4 -4*5*(-9)/(-36) -5 Calculate (-10)/60*3/(-2). 1/4 What is (-465)/(-124)*((-7)/10)/7? -3/8 Evaluate 6*(-4)/8*1/3. -1 Evaluate 2/((32/10)/(-8)). -5 Evaluate 240/(-160)*(16/(-27))/(-2). -4/9 Evaluate ((-2)/8)/((-1)/6*-1). -3/2 What is ((-35)/14)/(-1)*(-4)/(-2)? 5 What is the value of (((-20)/(-4))/10)/(1/(-10))? -5 Calculate ((-12)/(-14))/(54/(-252)). -4 Calculate (2/20)/(67/(-134)). -1/5 What is the value of ((-40)/(-12))/((-38)/57)? -5 What is (2/(-5))/((-22)/275)? 5 Evaluate (-65)/(-13)*(-2)/(-5). 2 What is ((-5)/((-300)/8))/((-16)/(-20))? 1/6 What is 5*(-30)/(-350)*-7? -3 ((-6)/36)/((-3)/(-6)) -1/3 Evaluate -1*(-5*4/(-5))/22. -2/11 Evaluate (-5)/((1125/54)/25). -6 ((-12)/12)/(((-2)/(-1))/4) -2 (6/(36*-2))/((-6)/(-16)) -2/9 Calculate ((-2)/(-4))/(2/(-2)). -1/2 What is the value of (4/(-6))/(18/(72/(-8)))? 1/3 What is (1/(3/(-6)))/(2/(-2))? 2 (-12)/24*8/2 -2 Evaluate (-7)/10*(-44)/77. 2/5 What is the value of ((-1)/20*-1)/(12/(-30))? -1/8 Calculate ((-2)/(-4))/(153/(-102)). -1/3 What is the value of (-4)/(-28)*-4*(-54)/72? 3/7 What is the value of ((-8)/(-10))/(138/345)? 2 Evaluate (-4)/36*81/(-18). 1/2 What is (-6)/(-8)*(-52)/(-26)? 3/2 What is (7/(-21))/((-1)/(-6)*-13)? 2/13 What is the value of 3/(-2)*(-50)/(-375)? -1/5 (2/(-6))/((-1)/(-15)) -5 Evaluate (5/(-20)*-6)/(1/(-2)). -3 What is (18/(-15))/(84/30)? -3/7 (12/(-90))/((2/5)/(-2)) 2/3 Evaluate (-40)/210*(-6)/(-8)*2. -2/7 Evaluate ((-5)/60*-4)/(104/(-234)). -3/4 Evaluate ((-18)/15)/((-6)/20). 4 (-4)/16*-18*2*-1 -9 What is the value of ((-78)/(-13))/(-2*(-2)/(-2))? -3 What is the value of (-2*3)/(82/41)? -3 Calculate ((-1)/(-5)*80/(-10))/(-2). 4/5 (3/12*-1)/((-8)/32) 1 Evaluate (-105)/(-7)*(-6)/30. -3 What is the value of ((-6)/8)/((-5)/20)? 3 What is (-12)/15*30/(-96)? 1/4 Evaluate (-9)/(-6)*((-10)/3)/5. -1 What is the value of (33/99)/(1*3/(-45))? -5 Calculate ((-12)/6)/((-2)/(-4)). -4 Calculate ((-12)/5)/(476/(-85)). 3/7 What is (6/1)/(16/(-24)*-3)? 3 What is the value of 1*-3*(55/(-90))/11? 1/6 Calculate (78/(-60))/13*6*-5. 3 Evaluate 5/(-5)*1/(4/(-28)). 7 What is 8/((-840)/(-75))*6/(-5)? -6/7 Evaluate ((-5)/2)/((1/(-1))/(-2)). -5 What is the value of (-16)/(-30)*183/(-244)? -2/5 -8*7*11/2156 -2/7 What is the value of ((-3)/(-10))/((-15)/20)? -2/5 What is the value of (-16)/10*290/(-116)? 4 What is (-3)/2*44/22? -3 What is 0/1*2/(-8)? 0 (-8)/10*(-70)/28 2 (8/(-6))/(6/(-9)) 2 Calculate 20/4*(-25)/((-2625)/2). 2/21 What is the value of (14/49)/(19/21*3)? 2/19 What is (20*(-1)/(-2))/(2/1)? 5 -2*(414/(-184))/(3/(-2)) -3 ((8/6)/(-4))/(4/(-12)) 1 18/(-3)*(-90)/(-54) -10 What is the value of ((-1)/(-12))/(12/(288/(-8)))? -1/4 Evaluate ((66/6)/(-132))/(4/(-12)). 1/4 Calculate (3/(-8))/((-1)/(-2)). -3/4 What is the value of ((3/1)/30)/((-6)/15)? -1/4 What is 13/((-39)/(-24))*(-1)/(-2)? 4 Evaluate ((-18)/4)/(84/((-28)/(-4))). -3/8 Calculate (-52)/(-117)*(-27)/3. -4 What is 2/2*-3*3/(-3)? 3 What is 18/(-42)*21/12? -3/4 What is ((1273/(-114))/67)/((-3)/(-2))? -1/9 What is (-10)/(-4)*(-32)/(-760)? 2/19 Calculate 4/(-6)*15/45. -2/9 (-5)/(-8)*((-48)/20)/6 -1/4 ((-32)/8)/((-4)/(-6)) -6 Evaluate 26/13*1/2. 1 What is ((-3)/(-2))/((-3)/(12/(-2)))? 3 What is 6/(-8)*(-5)/15? 1/4 Calculate ((-8)/(-36))/((-9)/81). -2 What is 2/6*(-393)/(-524)? 1/4 Calculate 62/279*1/(-2). -1/9 Evaluate (6*10/45)/((-4)/(-9)). 3 What is ((-56)/196)/(16/(-14))? 1/4 (6/(-21))/(96/(-42))*2 1/4 Evaluate ((-11)/22)/(3/6). -1 What is the value of (-18)/6*((-30)/18)/5? 1 What is ((-4)/40)/((-2)/5)? 1/4 What is (20/(-12))/(-5)*3? 1 What is the value of (-9)/2*36/54? -3 What is the value of (9/(-6))/(((-9)/(-4))/(-1))? 2/3 What is (3/(-1))/((-2)/(16/8))? 3 18/30*(-4)/(-6) 2/5 What is 12*(12/48)/1? 3 (-2)/4*(-8)/(-1) -4 What is the value of (-62)/62*(-5)/(2/2)? 5 Calculate (-4)/8*20/(1*-2). 5 Calculate ((-2)/2)/((-95)/(-19)). -1/5 5698/74*2/14 11 What is (72/(-66))/(30/165)? -6 6/45*15/12 1/6 Evaluate (4/(-6))/(28/(-210)). 5 What is ((-65)/(-5))/(-156)*-5*2? 5/6 -3*-3*(-16)/(-1080) 2/15 Evaluate (-192)/18*2/8*3. -8 What is (-4)/3*(9/6)/(-3)? 2/3 Evaluate 9*((-40)/15)/4. -6 What is the value of (-4)/5*((-168)/(-32))/7? -3/5 Evaluate (((-720)
{ "pile_set_name": "DM Mathematics" }
) = 2*u - 9. Let c be w(7). Suppose -h + 2*h + c = 0, -24 = -a + 4*h. What are the prime factors of a? 2 Let s be -3 - -3 - 5*1. Let h be 3/s + (-23)/(-5). Suppose h*i + i = 35. List the prime factors of i. 7 Suppose -u - 3*u = -20. Suppose -4*s - 17 = 5*z - 5, 0 = u*s + 5*z + 10. What are the prime factors of s? 2 Suppose 369 = 3*j - 9. List the prime factors of j. 2, 3, 7 Let c be -3*-1*(0 + 1). Let n be 2/6 + (-84)/(-18). What are the prime factors of (6/n)/(c/20)? 2 Let u(g) = 3*g - 15. What are the prime factors of u(9)? 2, 3 Suppose -2*o + s + 20 = -0*o, 3*o = 3*s + 33. List the prime factors of o. 3 Let l(p) = -p + 4. Let m be l(0). Suppose 11 = -m*n - 13. What are the prime factors of 4/n*(-36)/8? 3 Let b = -14 + 8. Let o be (-7)/((b/(-2))/(-3)). Suppose 11 = -6*t + o*t. List the prime factors of t. 11 Let a be 10/25 - (-104)/(-10). Let j = 16 + a. Suppose -5*d + 19 + j = 0. What are the prime factors of d? 5 Suppose -d - 44 = -2*j - 3*d, -2*j + 64 = -2*d. Suppose 0 = -3*v, -3*o - 17 - 28 = -2*v. Let r = o + j. What are the prime factors of r? 2, 3 Suppose 4*x = x + 303. What are the prime factors of x? 101 Let u(z) = -14*z**2 + 4*z + 8. Let q(t) = -5*t**2 + t + 3. Let b(h) = 8*q(h) - 3*u(h). Let y be b(3). Let m = y + -4. List the prime factors of m. 2 Let h = 73 - 33. List the prime factors of h. 2, 5 Let v(c) = c + 7. Let z be 8/(-12)*(-21)/2. List the prime factors of v(z). 2, 7 Let u be 90/(-12) - (-2)/(-4). Let h = u + 11. List the prime factors of h. 3 Suppose 3*d + 38 = -4*z + 199, -5*z - d = -215. What are the prime factors of z? 2, 11 Let y(w) = -w - 6. Let j be y(-6). Suppose 2*o + 3*o - 60 = j. What are the prime factors of o? 2, 3 Let g(w) = 4*w - 8. Let o be g(9). Let u = 34 - o. What are the prime factors of u? 2, 3 Suppose 38 = u + u. What are the prime factors of u? 19 Let s be (-4)/(-6)*-11*-6. Suppose -5*c + 29 + s = 3*d, 2*d - 5*c - 82 = 0. Suppose -3*k + d = 7. What are the prime factors of k? 2 Let g(j) = j**2 + j - 10. Let l(n) = -4*n**2 - 4*n + 39. Let m(u) = -9*g(u) - 2*l(u). What are the prime factors of m(0)? 2, 3 Let w(s) = s - 10. Let p be w(13). What are the prime factors of -3*(-1)/p*9? 3 Suppose b + 2 = -b. Let d(z) be the second derivative of -2*z**5/5 + z**4/12 - z**2/2 - 4*z. List the prime factors of d(b). 2 Let f be (14/4)/(2/4). Let t(k) = 5*k + 2. List the prime factors of t(f). 37 List the prime factors of (1 + 0)*4 + 18. 2, 11 Suppose -2*i + 4 = 5*n - 9, 4*i = 3*n + 13. Suppose i*a = o + 3 + 8, -4*a + 2*o + 14 = 0. Suppose 3*x + 2 = 2*x, 20 = 4*v + a*x. List the prime factors of v. 2, 3 Suppose 0 = -2*l - 0*l + 10. Let r(p) = -p**2 + 6*p + 4. List the prime factors of r(l). 3 Let y = -66 - -207. What are the prime factors of y/13 - 4/(-26)? 11 Suppose l - 2 = -0, -r + 20 = -5*l. Suppose 5*o - r - 5 = -d, -o + 3 = 0. What are the prime factors of d? 2, 5 Let b(y) = -y**3 - 6*y**2 + y - 5. Let m(g) = -2*g**2 + g. Let j be m(2). Let f be b(j). Let u = 19 + f. What are the prime factors of u? 2 Let d be (-1)/((4/8)/((-81)/6)). Suppose -14 = z + 2. Let l = z + d. What are the prime factors of l? 11 Suppose x + 5*t = 4*t + 7, 4 = 2*t. Let f be 2/(-3) + (-1)/3. List the prime factors of (x/(-2))/(f/2). 5 Let z(q) = -q**3 - 12*q**2 + 13*q + 10. What are the prime factors of z(-13)? 2, 5 Let b(g) = 34*g**2 - g. List the prime factors of b(2). 2, 67 Let t(i) = -12*i - 3. Let x be t(-2). Suppose -d - x = -0*j - 4*j, -5*d + 20 = 5*j. What are the prime factors of -2 - -7 - (d + 0)? 2, 3 Suppose w = 4*w. Suppose -15 = -3*o - w*o. What are the prime factors of o? 5 Let z = -24 + 15. List the prime factors of (2 - 53)/(z/6). 2, 17 Let m(l) = 14*l**2 + 3*l - 5. What are the prime factors of m(2)? 3, 19 Suppose -4*a + 7 = -9. List the prime factors of a. 2 What are the prime factors of (32 + 1 + -4)*4/2? 2, 29 Suppose 2*a = -4*f + 117 + 241, 0 = 3*a - 3. What are the prime factors of f? 89 Suppose 5*l - 15 = -0*l. Suppose 6*c - c = 10, 0 = -n - 2*c + 7. Suppose 20 = 3*y - 2*o + n*o, 20 = y + l*o. What are the prime factors of y? 5 Suppose 4*h - 7 = 9. Suppose 0*i = -2*d - h*i + 18, 5*i - 3 = 4*d. What are the prime factors of d? 3 Suppose 5*w = -4*r - 2, -6 = -5*w + 4*r + 16. Suppose n = -p - 2, w*p + 34 = -3*p + n. Let u = p + 13. What are the prime factors of u? 7 Let h(w) = 5*w**2 + 4*w + 2. List the prime factors of h(-2). 2, 7 Let s = 0 + -1. Suppose -3*j - 4*w = 7, j + 2*w - 11 = 4*w. Let t = j + s. List the prime factors of t. 2 Let f(r) = r**2 - 8*r - 1. Suppose k = -2*k - 5*s + 21, -5*s = 0. Let j be f(k). Let l = j + 18. What are the prime factors of l? 2, 5 Let t(g) be the second derivative of -g**4/12 - g**3/3 - 3*g**2/2 - 2*g. Let w be t(-2). Let u(b) = -3*b - 1. What are the prime factors of u(w)? 2 Suppose -3*a - a + 2*y + 268 = 0, 2*a - 134 = -4*y. Suppose a = 5*l - 38. What are the prime factors of l? 3, 7 Let a = -2 - -1. Let y be 2 - 1 - 2/a. Suppose -y*p = -6*p + 18. What are the prime factors of p? 2, 3 Let k = 0 + -7. Let w be (-4)/(-6) - k/3. Suppose i = 2 + w. What are the prime factors of i? 5 Let k be (-44)/10 - (-6)/15. Let s(h) = h**2 + 2*h - 1. What are the prime factors of s(k)? 7 Let a = -30 + 53. List the prime factors of a. 23 Let y be (-3 - 1) + -1 + -2. Let u = 11 - y. What are the prime factors of u? 2, 3 Let r be (10/(-4) + 1)*2. What are the prime factors of r*(2 + -3) + 3? 2, 3 Let z(j) = -2*j**3 - 2*j**2 - 2*j. Suppose 2*b - 9 = 5*b. Let u be z(b). Suppose -u = -5*p - 3*k, -2*p + 5 = 5*k - 8. What are the prime factors of p? 3 Let v = 83 - 41. Let t = v - 27. List the prime factors of t. 3, 5 Let w(c) = c**2 + 3*c + 4. Let y be w(-4). Let q(m) = m**2 - 8*m + 2. What are the prime factors of q(y)? 2 Let w = 11 - 7. Let b(x) = -4*x + 1 - w - 3*x. List the prime factors of b(-2). 11 Let z(g) = -g**3 - g + 5. Let o be z(0). Suppose 8 = -o*a - 5*x + 83, 0 = -2*x + 6. List the prime factors of a. 2, 3 Suppose -14 = p - 51. What are the prime factors of p + 0 + 8/(-4)? 5, 7 Let l(k) = 8*k + 7. Let n be l(5). Let r = n + -14. What are the prime factors of r? 3, 11 Suppose -t + 7 = z + 4*z, 0 = -5*t + z + 9. Suppose 3*c + 4*j - 35 = 0, -3*c - 2*c + 30 = j. Suppose t*f - 3 = c. List the prime factors of f. 2 Let f = -27 + 50. What are the prime factors of f? 23 Suppose 0*d = 3*d - 27. Let l be (3/d)/(3/279). Suppose -2*y + 3*f = -27, 0 = 4*y - y + 5*f - l. List the prime factors of y. 2, 3 Suppose -2*j + 0 = 4. Let f be -2 - (-3 - j) - -311. What are the prime factors of f/18 + (-6)/27? 17 Let k(p) be the third derivative of p**4/24 - p**3/2 - 4*p**2. Let n be k(7). Suppose -53 - 19 = -n*j - 4*w, -34 = -3*j + 2*w. What are the prime factors of j? 2, 7 Suppose v - 9 - 17 = -j, 0 = -3*v + 4*j + 113. List the prime factors of v. 31 Suppose -8 - 2 = 2*b, -n = -4*b - 131. List the prime factors of n. 3, 37 Let k(x) be the first derivative of -x**4/4 + 7*x**3/3 - 5*x**2/2 + 9*x + 1. What are the prime factors of k(6)? 3, 5 Let c be -4 - (-33)/(-6)*-4. Suppose -16*s = -c*s + 26. List the prime factors of s. 13 Suppose -8*t + t + 1050 = 0. List the prime factors of t. 2, 3, 5 Let s be (-4)/1*3/6. What are the prime factors of 26 + -3 + (-2)/s? 2, 3 Let v(r) = r**3 - 2*r**2 + 2*r - 1. List the prime factors of v(3). 2, 7 Let p(n) = n**2 - n + 41. Let q be p(0). Let z = 74 - q. List the prime factors of z. 3, 11 Let y = -17 + 10. Let n = 3 - y. List the prime factors of 8/10*n/1. 2 Suppose -4*z + 52 = -112. Suppose -r + z = -0*r. List the prime factors of r. 41 Let h = -4 - 0. Let s = h - -7. Suppose -2*m + 4*i + 10 + 8 = 0, s*m - 5*i - 24 = 0. What are the prime factors of m? 3 Suppose a - 81 = 2*q, 2*q + 294 = a + 3*a. What are the prime factors of a? 71 Let i(p) = -p**2 - 15*p + 12. List the prime factors of i(-8). 2, 17 Suppose -4*i = -i - c + 6, 2*i + 18 = -4*c. Let p = 16 + i. What are the prime factors of p? 13 Let z(h) = -h**3 + 2*h**2 + 2*h + 1. Let o be z(-1). Let y be 30/4*o/3. Let n = y + -1. List the prime factors of n. 2 Let g(v) = v**2 - 19*v + 37. What are the prime factors of g(20)? 3, 19 Let x(t) be the second derivative of -t**3/6 + t**2 + t. Let n be (-1)/2*(0 + 0). What are the prime factors of x(n)? 2 Suppose -180 = 4*z + c - 6*c, -5*c = z + 45. Let x = -24 - z. Lis
{ "pile_set_name": "DM Mathematics" }
when c is divided by 15. 12 Let d = 1 - -10. What is the remainder when d is divided by 8? 3 Suppose n + 120 = 3*o - 271, 0 = -2*n + 4. What is the remainder when o is divided by 33? 32 Let l be 2/(-10) - 4/(-20). Let m(g) = g + 12. Let f be m(-6). Suppose 4*c + f - 22 = l. Calculate the remainder when c is divided by 2. 0 Suppose 22 = r - 9. What is the remainder when r is divided by 8? 7 What is the remainder when (1 - -12)/((-3)/(-15)) is divided by 22? 21 Suppose -791 + 245 = -3*z + 2*a, 0 = a. Let p = z - -2. What is the remainder when 1/3 + p/6 is divided by 16? 15 Suppose -10*p - 301 = -17*p. What is the remainder when p is divided by 3? 1 Suppose 130*j - 133*j + 24 = 0. Calculate the remainder when 14 is divided by j. 6 Let u(j) = -6*j - 5. Suppose o + 3 = 5*d - 27, -5*d - o = -20. Let s be u(d). Let v = 67 + s. What is the remainder when v is divided by 11? 10 Let r be 4/6*(-18)/(-2). Let c(d) = d**2 - 7*d - 8. Let u be c(8). Let y = r + u. Calculate the remainder when y is divided by 3. 0 Let n = -3 - -6. Calculate the remainder when -1 + 2 + n + 0 is divided by 3. 1 Let k(c) = 3*c - 2. What is the remainder when 37 is divided by k(5)? 11 Let c = -23 + 33. Calculate the remainder when 28 is divided by c. 8 Suppose 2*w = 5*j - 81, 4*w - 76 = -3*j - j. What is the remainder when 33 is divided by j? 16 Suppose 5*k + 8 = 2*d + 4*k, 0 = -3*d + 2*k + 13. Suppose 3*x + d = 0, -2*b = -0*b - x - 25. Let y = 25 - 18. What is the remainder when b is divided by y? 5 Suppose -4*p = -3*q - 31, -5*p + q + q = -30. What is the remainder when 19 is divided by p? 3 Suppose 3*r = 2*r - 2. Let c be r/(-1) + 3/3. Let x(v) = 7*v - 4. Calculate the remainder when x(c) is divided by 9. 8 Let z = -3 - -15. Let k = 101 + -66. What is the remainder when k is divided by z? 11 Suppose 0*i = 2*i - 4. Suppose -i*d + 104 = 2*d. What is the remainder when d is divided by 14? 12 Suppose k = 4*l - 5 - 0, 5*l = 25. What is the remainder when 44 is divided by k? 14 Suppose -2*d - 4 = -0*d. Calculate the remainder when 38 is divided by 18 + 1/((-1)/d). 18 Suppose -63*b + 35 = -62*b. Calculate the remainder when b is divided by 7. 0 Let r(k) = k + 1. Let d be r(-1). Suppose -2 = -n - d*n. Suppose -w + 4*s = -n*w + 49, 3*w = 2*s + 77. Calculate the remainder when w is divided by 15. 14 Let i(h) be the third derivative of h**5/6 - h**4/24 + h**2. What is the remainder when 25 is divided by i(1)? 7 Let q = -2 - -2. Let z = q - 0. Calculate the remainder when 5 is divided by (9/(-3) - z)*-1. 2 Suppose -948 + 268 = -5*v. Suppose -52 = -4*u + v. What is the remainder when u is divided by 13? 8 What is the remainder when ((-3)/(-9))/(3/63) is divided by 2? 1 Suppose 0 = -3*u + 30 + 21. Calculate the remainder when 61 is divided by u. 10 Let o(c) = -3*c - 5. Suppose -5*y + 2*a = -63, -49 = -3*y - 4*a - 6. What is the remainder when y is divided by o(-4)? 6 Let i = -226 + 320. What is the remainder when i is divided by 19? 18 Suppose y - 21 - 15 = 0. Suppose 5*m + 2*w = 75, 0 = -6*m + 9*m + 4*w - 59. Calculate the remainder when y is divided by m. 10 Let c be 3 - 1/(2/(-82)). Suppose 7*n - l = 4*n + c, 0 = -2*l - 10. What is the remainder when n is divided by 8? 5 Let g(b) = -b - 1. Suppose -j = -4*o + 1 + 23, 2*j + o = -3. Calculate the remainder when -2 + (-24)/(-1 + -1) is divided by g(j). 1 Let b(g) = -g**2 - 3*g + 4. Let p be 2 - (0 + -1)*2. Suppose -p = -4*i + 4. Calculate the remainder when b(-3) is divided by i. 0 Let m = -10 + 14. Suppose -3*q = -m*a + 34, 0 - 2 = q. What is the remainder when a is divided by 4? 3 Let q be (2/4 + -1)*0. Let f = 118 + -72. What is the remainder when f is divided by (-1 + q - -15) + 2? 14 Let u(v) be the third derivative of -v**4/3 + v**3/6 + 2*v**2. Let s be u(-3). Let a = -8 + s. Calculate the remainder when 66 is divided by a. 15 Let t = 117 + -81. What is the remainder when 70 is divided by t? 34 What is the remainder when -1*(-22 + 0) + 20 + -19 is divided by 9? 5 Suppose 8*w = -4*w + 288. Suppose -4*m + 121 = -159. What is the remainder when m is divided by w? 22 Suppose -4*i + 0*i = -52. Let z(v) = 2*v - 3. Let x be z(2). Calculate the remainder when x/(-4) - 306/(-8) is divided by i. 12 Let i = -7 + 10. Let a = -22 + 46. Suppose -i*d = -d - a. Calculate the remainder when 35 is divided by d. 11 Suppose -2*a = 3*i - 20, -i + 4*i + 3*a = 18. What is the remainder when 30 is divided by i? 6 Let b(o) = 9*o**3 + 5*o**2 - 2*o - 5. Let c(r) = 5*r**3 + 3*r**2 - r - 2. Let q(v) = -4*b(v) + 7*c(v). What is the remainder when 15 is divided by q(0)? 3 Let n be ((-2)/(-4))/(-1)*-6. Let o = -3 - -15. What is the remainder when 1/n - (-312)/9 is divided by o? 11 Suppose 2 = -g + 13. What is the remainder when 21 is divided by g? 10 Suppose -4*w - 5 = 4*p - 41, 2*p + 12 = 4*w. Let q = p - -6. Let t = -5 + 23. Calculate the remainder when t is divided by q. 8 Let p = -8 + 12. Let r be 4*(-1 + 6/p). What is the remainder when 6 + r + (2 - 0) is divided by 6? 4 Suppose -1 = -5*j + 9. Suppose 0 = -h + d + 2*d + 4, j*h + 4*d = 58. What is the remainder when 75 is divided by h? 18 Let a = 9 + -35. Suppose -3*u + 2*z = -7*u + 6, 4*u = 4*z - 24. Calculate the remainder when (a/2)/(u/2) is divided by 9. 8 Let q(m) be the third derivative of m**6/120 - m**5/15 + m**4/8 + m**3/6 - m**2. Let y = -1 - -9. What is the remainder when q(4) is divided by y? 5 Let g be ((-4)/(-2))/((-1)/42). Let i = -49 - g. What is the remainder when i is divided by 18/(-2 + -4) + 15? 11 Let d(r) = r**3 - 6*r**2 + 5*r + 7. Let k be (-6)/10 + (-56)/(-10). Calculate the remainder when d(k) is divided by 2. 1 Let b(x) = -29*x - 1. Calculate the remainder when b(-2) is divided by 20. 17 Let h be (0 + -13)*(1 + 0). Let y = h - -32. What is the remainder when 37 is divided by y? 18 Suppose -2*w + 39 = 3*a, -w - 2*a + 17 = -3*a. Calculate the remainder when 67 is divided by w. 13 Let y = -7 + 14. Suppose 4*s = l - 28, -2*l - 4*s = -y*l + 108. Calculate the remainder when l is divided by 7. 6 Let c(w) = -2*w. Let r be -1*(0 - 7 - 0). Suppose -2*i - 15 + r = 0. Calculate the remainder when 14 is divided by c(i). 6 Calculate the remainder when 70 is divided by 24/96 - 46/(-8). 4 Suppose 2*g - 9*g + 70 = 0. What is the remainder when 16 is divided by g? 6 Let d = 6 - 1. Suppose -v = d*l - l + 10, 4*v = 2*l - 76. What is the remainder when 16 is divided by v/(-4 - -1) + 0? 4 Let u(a) = 2*a**2 - 10*a - 14. What is the remainder when u(8) is divided by 73/4 - 2/8? 16 Suppose 0*p = -4*p + 56. What is the remainder when p is divided by 3/6 - (-9)/2? 4 Suppose 2*q = 2*d - 32, -3*d + 4*q + 48 = 3*q. Suppose -4*h + 3*a = -a - d, -a = 2*h - 8. What is the remainder when -1*1*(-5 - 5) is divided by h? 2 Suppose 0 = 9*i - 4 - 68. What is the remainder when 13 is divided by i? 5 Let s(a) = a**3 - 2*a**2 - 4. Let v(r) = -3*r + 24. Let n(d) = -d + 6. Let l(w) = 15*n(w) - 4*v(w). Calculate the remainder when l(-5) is divided by s(3). 4 Let o = 23 - 13. Let w = 2 + -9. Let f = w - -11. Calculate the remainder when o is divided by f. 2 Suppose 4*x = 5 + 51. What is the remainder when 26 is divided by x? 12 Suppose 5 = 2*b + g, -5*b = -0*b + 3*g - 14. Let d be ((-72)/(-28))/(b/7). Let x = d + -8. Calculate the remainder when 28 is divided by x. 8 Let c be ((0 - 3) + 5)*7. Suppose 3*a - 24 = -3*s, 5*s - 30 = -a + c. Let h(i) = 2*i**3 - 3*i**2 - 2*i - 4. Calculate the remainder when h(3) is divided by s. 8 Calculate the remainder when 92 - 0 - 3 - 5 is divided by 43. 41 Let j(p) = -2*p**2 - 28*p + 13. What is the remainder when j(-12) is divided by 21? 19 Let u(v) = 14*v**3 - v**2 + v + 3. Let p be u(2). Let t = 164 - p. What is the remainder when t is divided by 13? 12 Let y = -4 + 8. Suppose 2*p + 2*p + 4 = 0, -y*p + 36 = 5*x. What is the remainder when 15 is divided by x? 7 Let b = -1 - -6. Suppose b*a + 3 = 393. Calculate the remainder when a is divided by 20. 18 Let h = -21 - -34. What is the remainder when 34 is divided by h? 8 Let l(t) be the second derivative of t**4/12 + 13*t**3/6 + t**2/2 + 3*t. Let a be l(-6). Let h = a - -63. Calculate the remainder when h is divided by 8. 6 Suppose 0 = -0*p - 2*p - n + 32, 3*p = -5*n + 55. Let d = -3 - -30. Calculate the remainder when d is divided by p. 12 Let
{ "pile_set_name": "DM Mathematics" }
+ a/(-14). Suppose -k*o = 1 - 10. Which is bigger: o or -2/17? o Let y(n) = -n**3 - n**2 + 4*n - 1. Let x be y(-3). Suppose -x*u = 2*u. Suppose u = 4*w - 21 - 7. Is 4 less than or equal to w? True Let c be (-69)/(-138) - (-1 - (-2 - 447/(-1446))). Which is smaller: 0 or c? c Suppose 5*c + s + 730 = 0, 2*c = 10*s - 9*s - 299. Which is bigger: c or 14? 14 Let b = -206 - -209. Let i be (1*b/10)/((-12)/32). Which is bigger: -1 or i? i Suppose 28*y + 178 + 186 = 0. Let g(z) = 10*z + 129. Let t be g(y). Which is bigger: t or 0? 0 Let g(f) be the third derivative of -1/15*f**5 - 7/12*f**4 + f**2 + 2*f**3 + 0 + 0*f + 1/120*f**6. Let s be g(6). Which is smaller: s or -5/48? -5/48 Let r be -2*5/(3 - -217)*-10. Let u(v) = v**2 + 0 - 7*v - 12 - v - 3*v. Let z be u(12). Is z < r? True Let k be (-54)/(-297) - 53252/308. Is -174 <= k? True Let j = 137 - 237. Let l = 0.051 - -99.949. Let p = j + l. Is -43 at most p? True Let b be ((-136)/(-140) + -1)/(2322/(-8055)). Let r = -1/258 + b. Which is smaller: r or 18? r Suppose 4*f + 2*j - 2250 = 0, 15*f - 14*f = -4*j + 552. Let n = f - 563. Is 19/7 at least n? True Let d = -399 + 399. Suppose d = -4*c - 117 - 3. Is -30 less than c? False Let y(c) = c**3 - c**2 - c. Let d be y(2). Suppose -d*p + 0*p = p. Suppose p = -4*i - 3 - 1. Do 24 and i have different values? True Let n = 842.8 + -966. Let x = n + 123. Is -8 < x? True Let b = 29203977 + -59861013/2. Let v = b - -559429631/770. Let h = v - -24/77. Which is smaller: h or 3? h Let n(f) be the first derivative of 2*f**2 - 28*f - 10. Let m be n(9). Suppose 6*k + 4*b - 23 = 5*k, -3*b + 12 = 0. Which is bigger: m or k? m Let r = -179 + 1255/7. Suppose 3*j - 52 = -4*b + 5*j, 0 = -3*b - 3*j + 39. Let s = -20 + b. Is s at least as big as r? False Let k = -108.18 + 108.6. Let h = 0.3 - 0.3. Are h and k non-equal? True Let m = 7820 + -8639. Which is smaller: -2455/3 or m? m Let h(s) = s - 21. Let t be h(14). Let v = -11.9 + 14. Let w = -0.1 + v. Which is bigger: t or w? w Let t(z) = z**3 - 6*z**2 - 12*z - 44. Let p be t(8). Let r(a) = -a**3 - 14*a**2 - 20*a + 47. Let i be r(p). Is 9/85 >= i? True Suppose 92 = 3*k - 4*c, 4*c = -k + c + 22. Let d be ((-4)/(-10))/(k/(-378)). Which is smaller: d or -6? -6 Let p be (-325220)/560 - (2/(-1))/(-8). Which is bigger: p or -585? p Suppose 10*r + 140 = 8*r. Let p = r + 86. Let n be (-4)/2 - 4*-5. Which is smaller: n or p? p Let v = -127 - -129. Let t be (v*6/16)/((-1)/(-56)). Let r = 1584250/37131 - -2/12377. Which is smaller: t or r? t Let r = 24516 + -24460. Are r and 21 unequal? True Let o = 7998 - 7840. Which is bigger: o or 148? o Let d = 0.6 + 6.4. Let l = -245.986 - -246. Let v = l - -0.286. Which is smaller: v or d? v Let o(g) = 7*g**2 + 2*g - 3. Let v be o(2). Let z = -423 + 111. Let j = z - -313. Is j at least v? False Let r = -3/380 - -841/10260. Let k = 17.8 - 22. Let u = k - -4.19. Are u and r equal? False Let y = 3 - 1. Suppose 89*g - 4019 + 904 = 0. Suppose 5*r = -y*r + g. Is 1 less than r? True Let k = -11525 + 11525. Is k < 770? True Let k = -670.243 - 0.757. Let z = 671 + k. Is z at least as big as 589? False Let w be 2/(4/115) + 8/(-16). Let b(n) = -n**3 - 4*n**2 - 3*n - 1. Let j be b(-2). Let r be -5 - j - -2*w/56. Which is greater: 0 or r? r Let m = 1661 - 6747/4. Let d(v) = 2*v**3 + v**2 - v - 27. Let f be d(0). Is m at most f? False Let u(h) = 2*h**2 + 10*h - 8. Let c be u(-6). Let p be (3 - (c + -6)) + -1. Suppose p*b + 29 = 9. Is b less than -6? False Let o be 0 - (-9)/10125*(-1 - -3). Let d = 223/1125 + o. Which is bigger: d or -2.1? d Let m = 16 - 22. Let h(y) = y**3 + 7*y**2 + 4*y + 2. Let k be h(m). Let l be 4/k + 232/(-28). Which is bigger: -9 or l? l Let z(q) = -q**2 - 4*q - 2. Let w be z(-2). Suppose 7*p - w*h = 2*p + 13, 3*p = -h - 1. Let k be ((-16)/(-51))/p + 16/(-24). Is 0 > k? True Let t be (80/(-32))/(25/10). Is t bigger than -9/121? False Let f = -0.2844 + 0.3374. Which is greater: 7.8 or f? 7.8 Let z = -2 - -3. Suppose 5*t - 4*r = -2946, 2*t - 3*r + 6*r + 1160 = 0. Let m be ((-84)/4)/(t/56) + -2. Is m greater than z? False Let f = -123.544 + 123. Let d = f - 424.456. Is d less than 1/2? True Let i be ((-20)/(-15))/(6/549). Let c be 8/i*(32 - 34). Is c at least 1? False Suppose -x + 0*x = -5. Suppose 5*o - x = 20. Suppose 3*w = 18, 2 = -3*g + 5*w - 22. Is g < o? True Let q = 4.99 + -5. Let d = 0.06 + q. Let j(k) = -k**2 + 154*k - 1. Let f be j(0). Which is smaller: d or f? f Suppose -2*l = -5*g + 32, 40*l - g = 36*l - 10. Which is smaller: 2/5889 or l? l Let q be (-2)/((2 - 0) + -23). Let l = -43656 - -435937/10. Let c = 309/5 + l. Which is greater: q or c? q Let a = -2281 + 2280.9. Which is smaller: a or -48.28? -48.28 Let k = 8470 + -1533076/181. Is k at most as big as 1? True Suppose 43*t + 15*t - 60 = 28*t. Which is smaller: t or -30.92? -30.92 Let p be (3/(3/(-4)))/((-1)/(-2)). Let b = -50 - -74. Let w = p + b. Is w smaller than 14? False Suppose 20*y + 296 - 316 = 0. Are y and 2/6903 unequal? True Let l be (-4)/6 + 10/6. Let n be (-3)/(-2) - (l + (-12)/(-8)). Which is smaller: 0.073 or n? n Let i = -34413 + 309133/9. Which is greater: -65 or i? i Suppose -24*w - 9*w = -12*w + 22827. Is w > -1087? False Let l(i) = -2*i**3 + 26*i**2 - 17*i + 23. Let r be l(11). Is 2244/7 not equal to r? True Let r = 295716/13 + -7255399/325. Suppose 818 = -5*m + 2933. Let d = m - r. Which is greater: 0 or d? 0 Suppose -382*q + 438*q + 55328 = 0. Which is smaller: -990 or q? -990 Let k be (-32)/6 + 3 - -2. Let d(z) = -222*z**3 - 2*z**2 + 3. Let r be d(1). Let x be (-204)/r*2/(-4). Are k and x equal? False Suppose 3190 = 5*t - 95*c + 90*c, 7*t = -c + 4426. Which is smaller: t or 3167/5? t Suppose 5*n - 39*s + 17 = -35*s, 5*n = -3*s + 4. Is n <= 1/1503? True Let r be (-510)/12*(-8)/10. Suppose -3*n - 24 = -3*x, -x - 26 = 5*n + 32. Let m(l) = -l**2 - 11*l + 34. Let v be m(n). Is r >= v? True Let s be 1*8/3*(-18)/(-12). Let u = 21 + -21. Let g = 6 + u. Is g greater than or equal to s? True Let p = 1182 + -1182. Let z = 4995 - 8146847/1631. Let o = 8129/21203 - z. Is p at least as big as o? False Let z = 6405 + -2750. Which is bigger: 3656 or z? 3656 Let j = 0.019 - -0.0407. Let l = -0.4403 - j. Is -23 bigger than l? False Let a = -1/305 - 51/3050. Let w(d) = -9*d + 62. Let j be w(7). Is a greater than j? True Let w = -39612758/37015 + 11772/11. Which is bigger: 0 or w? w Suppose 671 = 16*g - 833. Suppose -6*h + 2*h - 235 = 5*z, -2*z + 2*h = g. Are 1/4 and z unequal? True Let v = -162 + -38. Let d = 221 + v. Which is smaller: d or 20? 20 Suppose -3*d = 5*v - 31, -6*v = -3*v - 3*d - 9. Let s(h) = -h**3 + 7*h**2 + 7*h - 7. Let y be s(v). Let p = y + -79. Is -4/5 >= p? True Let q be (11/(-22))/((-10)/284). Let t = -69/5 + q. Suppose -2*l - 2*c = 3*l - 100, 3*c = -2*l + 29. Which is smaller: t or l? t Suppose -211*p + 12716 = -189*p. Is p greater than 577? True Let j be (-1 - -6)*235/5. Suppose 4*b = -5*c + 632, 5*c + j = 4*b - 357. Which is greater: b or 151? b Let b(c) = -129*c + 1406. Let v be b(11). Is -54 not equal to v? True Suppose 5 = -5*z, -2*c - 4*z = c + 127. Let o be (6/(-10))/3 + (-5304)/130. Is c less than o? False Let j = 817 - 535. Suppose 0 = 5*l + 522 - j. Is l at most -93/2? True Let s(n) = n**2 + 38*n + 147. Let b be s(-34). Suppose b*d = 9*d - 10*d. Which is greater: 144 or d? 144 Let y = 1.414 + -1.62. Let t = y + -0.094. Is t equal to -0.37? False Suppose -15*f = -8*f - 28. Let t be -3 + f + 4 - 5. Suppose t = 3*i - i. Which is smaller: -1/5 or i? -1/5 Let y = -24 - -29. Suppose -y*n = -79 + 84. Which is bigger: 2/331 or n? 2/331 Let x = 0.1101 + 27.9899. Let c = -5.1 + -22.9. Let b = c + x. Is b less than -0.1? False Let u = -101 - -148.4. Let i = u + 3.6. Let d = 51.2 - i. Which is smaller: d or -0.2? -0.2 Let l = 1812076/341 - 5314. Let r = -4.33 - -3.33. Which is greater: l or r? l Let i be 304/(-112) + (2 - -1). Let l = 2.5 - 3.7. Let p = 0.86 + l. Is i at most as big as p? False Let c be (-2)/1 - ((-1598337)/61465)/13. Do 1 and c have the same value? False Let p = -8 - -48. Let j be (p/(-1836))/((-10)/(-465)). Let t = j - -21/17. Are 0 and t non-equal? True Suppose -3*n + 187 = 145. Suppose 3*g + 22 = n*g. Let s = -0.007 - 33.993. Which is smaller: s or g? s Let n = 23 - 19. Suppose 3
{ "pile_set_name": "DM Mathematics" }
me? False Let z = 8 + -15. Is (-256 - z)/(-1 - (1 + -1)) a prime number? False Let y(k) = 1821*k**2 + 5*k + 39. Is y(-3) prime? False Let q(k) = k**2 - 10*k + 6. Let l be q(11). Let c = 19 - l. Is (c + -2)/(-3) + 177 composite? True Is ((-148311)/108)/((-3)/4) prime? True Let z(b) be the second derivative of 5*b**4/8 + b**3/3 + b**2/2 - 2*b. Let r(v) be the first derivative of z(v). Is r(5) a prime number? False Suppose -2*g + g = 0. Let x be 3/(g + -1 + 2). Suppose x*k = -5*z + 246, 163 = -k + 3*k + 3*z. Is k a composite number? True Let a be (6/(-30) - 3/10)*-2. Is 5/a + (72 - -32) composite? False Is (0 + 1)/((-17)/(-426139)) a prime number? False Suppose -3*t + 4*x = 40 + 15, -t + 2*x - 17 = 0. Is (7/t)/(-1*2/3798) a prime number? False Suppose z - 5*g + 16210 = 45199, 2*g = -5*z + 144891. Is z prime? True Is 3457/(-5)*1320/(-24) a prime number? False Let g(c) = 3*c**2 - 19*c - 31. Let w(i) = -i**2 + 9*i + 16. Let x(s) = 3*g(s) + 5*w(s). Is x(12) prime? True Suppose 2*n + 0*n = u + 1, -u = 4*n + 1. Suppose n = 4*h + 1 - 21. Suppose 488 = 4*b + 5*t, 7 = h*t + 27. Is b a composite number? False Let r = 16832 + -9829. Is r composite? True Let j = -11504 + 2479. Let o = -6086 - j. Is o a prime number? True Let t(h) = -285*h + 44. Is t(-37) prime? True Let m(y) be the second derivative of y**4/12 - y**3/3 + 3*y**2/2 - y. Suppose -4*x = -v - 19, 5*v = 4*x - 31 - 0. Is m(x) a composite number? False Suppose -18 = -5*o - 2*l, 0 = -o - 2*o + l + 2. Is 7*((-662)/3)/(o/(-3)) a prime number? False Let d be (-5 + 8)*160/(-6). Let l = 258 + d. Is l composite? True Suppose -m = 1, -121 = -k + 4*m - 3*m. Let z = 39 + k. Is z composite? True Let c(l) = -145*l**3 + 2*l**2 + 7*l + 31. Is c(-3) a prime number? True Suppose -x - 16 = -20. Let w = 1 + x. Suppose -3*i = -w*i + 422. Is i a prime number? True Let d(r) = 6*r + 4*r + 5*r**2 - 4*r**2 + 9. Let w be d(-9). Suppose 3*z = 2*c + 2599, w*z - 2*z + 1746 = 2*c. Is z composite? True Let d(t) = -t + 17. Let r be d(13). Let p(u) = -u**2 + 4*u + 4. Let m be p(r). Suppose -m*j + 0*j = -4244. Is j a composite number? False Let b be (2 - 5 - -5547) + -1. Let d = b - 2814. Is d a prime number? True Suppose -p = -3*f + 2, -2*p - f - 14 = -6*p. Suppose -5*m - 5*h + 162 + 713 = 0, -p*h = 5*m - 879. Is m prime? True Let v be (1/2)/(17/170). Let y(h) = 353*h - 11. Is y(v) a prime number? False Suppose 3*i = -i + 1996. Is i a composite number? False Let m be (-3 + (-27)/5)*245. Let i = -587 - m. Suppose -3*s - i = -8*s + a, -5*a - 1160 = -4*s. Is s composite? True Let d be -6*((-7)/2 + 3). Suppose -17 = -4*a + d. Suppose 5*x + a = 1030. Is x a composite number? True Suppose 2*i + 518 = c, 2*i - i = -4*c - 277. Is (-5 - -3)/(6/i) + 0 composite? True Suppose 1145 + 1119 = 4*z + u, -1114 = -2*z - 5*u. Let b = 854 - z. Is b composite? True Let r(t) = 3*t**2 - t + 10. Let x be r(16). Suppose -x = -10*a + 4*a. Is a composite? False Let k be ((-232)/(-5))/((-6)/(-135)). Suppose 0 = -4*m, -f - 2*m + k = 137. Is f a composite number? False Is -5*(11 + 578412/(-45)) composite? True Let x(t) = t**3 - 21*t**2 - 6*t + 27. Let p be x(21). Let h = -10 - p. Is h composite? False Suppose -40*a = -48*a + 56552. Is a a prime number? True Suppose 0 = -o - r + 168, 0*o = -2*o + 5*r + 357. Suppose -o = -4*c + 413. Is c prime? False Let s(q) = 15231*q**2 - 14*q + 14. Is s(1) a prime number? False Suppose 9*n = 112142 - 8471. Is n a prime number? True Suppose -f + 2*z + 12 = 0, -4*f + 8*z = 4*z - 40. Let y(c) = c**3 - 3*c**2 - c + 7. Is y(f) a composite number? True Let x(q) = 13*q + 7 + 4*q**2 + q**3 - 6*q + 2*q**2. Let l be x(-5). Is l + 102 - (-4)/(-2) a prime number? True Suppose -66*g = -78*g + 74268. Is g a composite number? True Suppose 211*r = 220*r - 38574. Is r a composite number? True Suppose 118*g + 232033 = 135*g. Is g a composite number? False Let z be (38/57)/(-2 + 19/9). Is 2 + -6 + z + 527 composite? True Let a(u) = 4*u**2 - 2. Let n be -10*(12/(-8) + 1). Suppose -1 = y - n. Is a(y) prime? False Let x(h) = -h + 24. Let y be x(8). Let d = y - -3083. Is d a prime number? False Is -1 - (0 - 0) - (-4407 - 3) a prime number? True Let c be 595 + 1 - (4 + -6). Let g = 855 - c. Is g prime? True Suppose -3*d + 11*d = 16. Suppose g - u = -d*g + 991, 4*g - 1326 = -u. Is g prime? True Suppose -4*m + 32 = 2*x, 2*m + 0*m = x. Suppose x*q - 933 = 5*q. Is q a prime number? True Let f(s) = -s**3 - 9*s**2 + 2*s - 22. Let n be (-8)/(-10) + 432/(-40). Let t be f(n). Suppose t + 1064 = 6*j. Is j prime? False Let p(i) = 2*i**3 + i**2 - 3*i + 997. Is p(0) a prime number? True Suppose 4*p + 3*j + 2*j = -10, 0 = -5*p + 3*j + 6. Let l be 21 + 6/(p + 2). Is (42/l)/((-2)/(-232)) a composite number? True Suppose 0 = 5*k - 5*o - 4810, 3*k + 0*o - 2886 = o. Let d be (1 + 1)*-223 - 1. Let q = k + d. Is q composite? True Let c(o) = o**3 + 68*o**2 + 188*o - 151. Is c(-64) a prime number? True Suppose 27 - 19 = 2*j. Suppose -j*i + 715 + 521 = 0. Is i a prime number? False Let n be (-8)/(-12)*45/(-6). Let j be (-21)/35*(0 + n). Suppose -5*y - 105 = -j*m - 456, 0 = 5*y + 2*m - 341. Is y composite? True Let o be (-105)/6*228/10. Let q = 1286 + o. Is q prime? True Let n = 8791 + -5502. Suppose 7*f + n = 11556. Is f prime? True Let z(l) = -8*l + 294. Let c be z(37). Suppose 2*k = 8, -3*b - 2*k - 168 = b. Is (-1 + 2)*b/c prime? False Is -593*10/(8/((-20)/5)) a prime number? False Suppose g - 2 = -0. Suppose -f = -2*f - 5*t + 54, 0 = 3*f - g*t - 213. Is f + (-6 - (-2 + -2)) a prime number? True Suppose -l + 69 + 233 = 0. Is l prime? False Suppose -5*d + 72 = -d. Let k = d + -13. Is (7 - k)*382/4 a composite number? False Let a(l) = 11*l - 476 - 11*l + 1363 + l**2. Is a(0) composite? False Let t = -3 - 0. Let j = t - 0. Let a(b) = -13*b**3 + 3*b**2 + b + 2. Is a(j) a composite number? True Let v be (-11)/(-4) - (-11)/44. Suppose v*p - 8*p + 530 = 0. Is p a prime number? False Suppose m + 4*i - 32 = 0, 5*i = 4*m - 9 - 119. Suppose 5*j - z - 90 = 2*z, 2*j = 2*z + m. Suppose 0 = 5*d + j + 4, 4*d = 4*q - 1944. Is q composite? True Is 96524/(-1180)*(-1 - 184) composite? True Let p = 1038 - 575. Let d = 792 - p. Is d composite? True Let k(g) = 156*g + 137*g + 48*g - 14. Is k(3) prime? True Let x(v) = -2*v**3 - 2*v + 2. Let w be x(2). Let u = -16 - w. Suppose 64 = u*s - 38. Is s a prime number? False Suppose 0*m = 3*m - 2*o, -4*m = -3*o + 1. Let i(f) = 11*f**2 - 5*f + 7. Let k(c) = -16*c**2 + 8*c - 11. Let v(w) = 8*i(w) + 5*k(w). Is v(m) a prime number? False Let n(v) = 10*v**2 - 5. Let c be n(2). Let k = c + 27. Is k composite? True Let i = 83 + -50. Let o(y) = 9*y - 4. Is o(i) prime? True Let l(d) be the second derivative of d**5/5 - d**4/4 + 5*d**3/6 + d**2 - d. Let i be l(4). Let x = -141 + i. Is x prime? True Let p = 2170 + 5077. Suppose -p - 965 = -4*d. Is d prime? True Suppose 43*j - 40*j = 33447. Is j a composite number? False Suppose 0 = 4*o + x + 4*x - 1043, -3*o + 787 = -x. Let p = -147 + o. Is p prime? False Let b = -23 + 25. Suppose -2*y - 5*k - 5 = -0, -4*y - 3*k = -11. Suppose -b*g = -5*a + 469 + 90, y*a = -g + 553. Is a prime? False Suppose r - 2*x = -7*x + 742, -5*x - 3068 = -4*r. Suppose -3*n = -r - 243. Is n prime? False Let z(a) = a**3 - 5*a**2 - 16*a + 18. Let q be z(7). Suppose -5*b - 20806 = -q*s + 1227, 27536 = 5*s - b. Is s prime? True Let b = -7359 + 18488. Is b composite? True Let w(z) = 310*z + 15. Is w(4) prime? False Suppose -19*i + 57448 = -17*i. Is 5*(i/60 + 4/(-30)) composite? False Let h = -1135 - -6771. Suppose -5*w - h = -9*w. Is w a composite number? False Let y = 6152 - 1873. Is y a prime number? False Let c be (-3)/1 + (2 - -4). Let u be (110/c)/((-1)/3). Is (34/(-4))/(5/u) a prime number? False Let q(n) = 12*n**2 - 8*n - 3. Let o(j) = j**2 + 2*j - 6. Let i be o(-6). Let g be (-4)/i - (-280)/45. Is q(g) a composite number? True Let v(t) = -t**2 + 1. Let s be v(2). Let z = 146 - s. Is z prime? True Suppose -7*d + 12*d + 1420 = 0. Is (d/8)/(7/(-14)) a composite number? False Let g(k) = -2*k**3 + 5*k + 22. Let d be 14*-2*(-1)/(-4). Is g(d) prime? True Let f = -1428 + -1416. Let b = f + 4798. Is b composite? True Suppose 0 = -o + 4*p - 13, 0 = 5*o - 4*p + 10 + 7. Let h(r) = -955*r**3 - r**2 - 3*r - 2. Is h(o) a composite number? True Supp
{ "pile_set_name": "DM Mathematics" }
t for q. -1 Suppose -12 = 2*i + 4*y, -3*i + 2*y = -8*i + 10. Suppose -1593*l + i = -1592*l. Solve -5*k - 13 = l*b, -2*k - 5*b = -0*b + 12 for k. -1 Let d(a) = a**2 + 8*a + 18. Let o = -62 + 72. Suppose -p - o = p. Let z be d(p). Solve -s - z*s = -5*h - 3, -5*h - 4*s = 27 for h. -3 Suppose 4*k = -20 + 4. Let h be k*(-108)/16 - -5. Solve p + 3*p - 2*x + 14 = 0, -h = 4*p + 4*x for p. -5 Suppose 27*x - 71 - 36 = 1. Solve -5*t + 5*y + x = 29, -10 = 2*t - 3*y for t. -5 Let z(f) = -51*f + 218. Let d be z(4). Solve 3*l = -3*m - 15 - 6, 5*m - 2*l = -d for m. -4 Suppose -5*z = -4*a + 35, -a - a - z = -7. Solve a = -n + 2*r, 37*n - 32*n + 2*r - 35 = 0 for n. 5 Let q = 383 + -704. Let p = 325 + q. Solve -2*f + 5*k = -19, p*k + k = 3*f - 21 for f. 2 Let u(n) = 0 - 9*n**2 + 3*n**2 + 15*n + n**3 + 23*n**2 - 9*n**2 + 16. Let w be u(-5). Solve c - w = -3*o - 7, 4*c = 2*o - 6 for c. 0 Let a be 7*(-6)/(-210) - 24/(-5). Suppose -2*r - 1 = -2*l - 11, a*l + 25 = 2*r. Solve 4*u + r*p - p - 7 = 0, -5*p - 15 = 0 for u. 1 Let h = 4681 + -4679. Solve 18 = 4*x - h*k, 0 = -5*x + k + 79 - 58 for x. 4 Suppose -4*t + 5*o + 747 = 0, -3*o - 9 = -0. Let r = t - 179. Solve -2*f = 2*f + 16, r*h - 3*f = 28 for h. 4 Let b = -798 - -809. Solve 7*k - b*k = -4*t + 20, -t - 3*k = 11 for t. 1 Let c = 2140 - 2140. Solve -4*l - 10 = -2*p, 3*l + 9 = 3*p - c*p for p. 1 Let y = -5344 + 5348. Solve -3*f + 17 = 4*g, -f = 3*f - y*g - 4 for f. 3 Suppose 6 = 11*n - 8*n. Suppose 4*g = -20, 70 = -5*m - 0*g + g. Let o be (-5)/2*(2 - (-48)/m). Solve -4*p - 9 = -5*y - n, 8 = -o*p + y for p. -3 Let n = 9936 + -9931. Solve 7 = -i + 2*u + 3, 5*u - n = 0 for i. -2 Let f(g) = -g**2 + 9*g + 11. Let o be f(9). Let x be 606/24*4/1. Let s = -97 + x. Solve 0*y = y + 5*b - o, -s*y + b = -2 for y. 1 Suppose b - z = 4, 3*b = b - 4*z - 4. Suppose -b = -122*f + 121*f. Solve 0 = 5*p - 4*h, -p - f*h = 2*p for p. 0 Let t(s) = 8*s - 79. Let n be t(-23). Let k = n + 264. Solve 0 = 4*x + y + 17, -y - k = x - 4*y for x. -4 Let l be (-20 + 1)*17/(-119)*7. Suppose -r + 4*r + 42 = 0. Let j = r + l. Solve -4*i - 32 = -4*k, -25 = j*i - 3*k + 7 for i. -4 Let z(c) = -3*c - 59. Let i be z(-25). Solve -16*l - 8 = -s - 11*l, 5*s + 3*l + i = 0 for s. -2 Suppose 2*i = 3*s + 10, -6 + 26 = 4*i + 4*s. Solve 0 = 3*a - i*j + 8, -4*a - 5*j + 13 = -23 for a. 4 Let d be (112/(-70))/((-2)/5). Suppose -3*x + 34 = 4*a, d*x = -3*a + 29 + 7. Suppose 3*z - z = x. Solve 11 = -b + 2*h, 5*b - z*h + 29 = 9 for b. -1 Let u(b) = -6*b + 97. Let r be u(-7). Let s = r - 137. Solve -3*f + j - 1 = -s*f, -j = -3 for f. 2 Let g = 1779 + -1774. Solve 0 = 2*m - i - 7, m - g = -2*m - 4*i for m. 3 Let d = 606 - 595. Suppose d*s - 8*s = 3*m + 12, -4*m - 6 = -2*s. Solve 4*y + 4*z = -24, 0 = -s*y + 3*z + z + 6 for y. -2 Let m(g) = -g**3 + 3*g**2 + 67*g + 8. Let i be m(-7). Solve 3*q + 9 = 0, 3*v = -32*q + i*q - 24 for v. -5 Let u(w) = -4*w + 2. Let t be u(-3). Suppose -m + t = 5*g - 1, 0 = m + 5. Solve -g*d - 4 + 5 = y, -5 = -d - 5*y for d. 0 Suppose 69*o - 177 = 30. Let g(b) = -b + 9. Let c be g(4). Solve -5*u = c*q + 25, -o*q + u + 4*u + 1 = 0 for q. -3 Suppose 0 = 2*z - 33*z + 93. Let j(w) = -w**2 - 19*w + 42. Let t be j(-21). Solve -z*r + 2*p - 16 = t, 0*r - 4*p + 12 = -r for r. -4 Let g(d) = -64*d - 253. Suppose 5*n - 11*a = -12*a - 15, 5*n + 4*a = 0. Let p be g(n). Solve y - 3*i + 4 = 0, p*i - 6 = -3*y - 18 for y. -4 Let f = 3051 + -3046. Solve 3*r - 8 = 3*s - f, -5*r - 4*s + 14 = 0 for r. 2 Let c(l) = l**3 + 23*l**2 + 39*l - 61. Let u be c(-21). Suppose 3 - u = -b, -4*b - 1 = v. Solve k + 3*i - 7 = 6*i, 0 = -v*k - 5*i - 7 for k. 1 Let s(f) = -2*f**3 + 10*f**2 - 8*f + 6. Let p be s(4). Solve 2 = 4*r - 3*l - 19, 0 = -p*l - 18 for r. 3 Suppose 18*l - 626 = 14*l - 2*t, 621 = 4*l + 3*t. Let z = l - 146. Solve -z = 4*a + y, 0*a = -2*a - 2*y - 14 for a. -2 Suppose 102 = -r + 243. Let s = r + -131. Solve 0*q = 5*q + 4*g + 28, 4*q + s = 3*g for q. -4 Let i = -10072 - -10077. Solve d + 14 = -i*c, c - 18 = 6*c - 3*d for c. -3 Suppose -11*m + 7*m + 4*c = -12, 4*c = -2*m + 18. Solve 4 = 2*b + 2*w - 4, m*b - w = 2 for b. 1 Suppose 2*u - 7*u = 0. Let v(i) = -44*i**2 + 96*i - 11. Let y be v(2). Solve -y*x - 4 = -j, u = -5*j + x - 0*x - 4 for j. -1 Let n(j) = j**2 + 9*j. Let i be n(-5). Let g be 3/(24/i)*-4. Suppose 11*v = 9*v + g. Solve 5*b - 7 = b + 5*c, -b - 2 = -v*c for b. 3 Let f be 0 + (-7)/(231/(-24))*(-99)/(-18). Solve 3*u = -g - f, 0 = 21*u - 22*u + g for u. -1 Let s be (2*(-26)/(-4))/(-150 + 151). Solve 0 = -t + 4*z + s, t = -t - 5*z - 13 for t. 1 Suppose -34*f = 22 - 90. Suppose 0 = -2*d - 2*j - 2, -f*d - 15 + 4 = 5*j. Solve h + 8 = 2*a, 5*h = -d*a + 3*a - 22 for a. 2 Suppose 25 = -5*j - 6*j + 80. Solve -2*d + 6 = -2*a, 3 = -j*d + 23 for a. 1 Let i be (9/6 + 3)*28/21. Solve -5*f = -2*q - 17, 5*f - 9 = i for q. -1 Let q(f) = 5*f + 5. Let j be q(2). Suppose -3*a + j = -5*h, 15 = a - 2*h + 9. Solve 0 = -5*n + 5*m - a*m + 10, 0 = 2*m + 2 for n. 1 Suppose 3 + 1 = -2*d, -3*h + 31 = d. Let g be 3/(h/((-132)/(-9))). Solve 0 = -4*j + c - 11, -g*c + c = -4*j - 9 for j. -3 Suppose 0 = 20*z + 6*z - 52. Solve -z*m + 15 + 15 = 5*r, -37 = -5*m - 3*r for m. 5 Let b(k) = -k - 54. Let j be b(-54). Solve -3*r = j, -5 = m - 0*m - 5*r for m. -5 Suppose -2*v + 4*i + 10 = 0, 56*i - 55*i = -3*v + 8. Solve v*u + 9 = 2*q, 3*u - 14 = -4*q + 5*u for q. 3 Let t = -210 - -215. Suppose -95 = -t*h + 2*i, -4*h = -5*i - 26 - 33. Let c be (4/(-14))/(1/(-7)). Solve -o - 10 = -5*a, h = -4*a - 3*o - c*o for a. 1 Let m be 8/28 - -4*21/49. Solve m*p - 9 - 11 = 4*h, 0 = -3*h - 15 for p. 0 Suppose 8*x - 403 + 387 = 0. Suppose -2 = -n + x*p, 5*p + 0*p = 0. Solve 2*m + 8 - 2 = -n*r, 0 = m + 4 for r. 1 Let h(f) = -f**3 + 25*f**2 - 46*f - 73. Let j be h(23). Let v be 3/(1*9/(-210)). Let u = v - j. Solve 6 = -s + 2*d, 0 = -u*s + d - 3 for s. 0 Let m be (-171)/(-36) + 1/4. Let g be 0*(-4 - (-4)/(16/12)). Suppose -l = -5*l + 4*r + 24, m*l - 3*r - 22 = g. Solve 3*u = 5*c + 4, 9 = l*u + c + 2*c for u. 3 Suppose -g - 5*n + 1 = 0, -n + 2*n - 17 = -3*g. Let q = -40 + 63. Let i = -20 + 23. Solve 5*p = -i*f - q, g*f - 8 = 2*f + 3*p for f. -1 Suppose 176 = -3*k - b, -4*k = -2*k + 5*b + 139. Suppose -5*x - 42 = 243. Let q = k - x. Solve 5*j - 20 = 5*v, -5*j = -v - q*j - 16 for v. -1 Let w(u) = u**3 - 40*u**2 + 109*u + 77. Let f be w(37). Solve -3*h = -2*t - 5, -f*h + 10 = 2*h - 3*t for h. 5 Suppose 0 = -5*u + 33 + 7. Suppose -2 = u*r - 18. Solve 5*f + 2*d + 13 = 0, -r*f + 5*d = -0*f - 18 for f. -1 Let i(u) = -u**3 + 16*u**2 - 57*u + 27. Let a be i(11). Solve 3*z + 0 + 9 = -5*f, a*f + 19 = 2*z for f. -3 Let l(r) = 2*r**3 + 12*r**2 - 31*r + 10. Suppose -5*x = w + 28, 7 = -3*x - 5. Let s be l(w). Solve 5*u + 2*g = -s, 0 = 3*u - 2*g + 6*g - 10 for u. -2 Let i = 10296 + -10283. Solve k = 3*d + 1, -10*k - 4*d = -i*k + 3 for k. 1 Suppose -3*t + 27 = 2*p, 5*t + 1 - 45 = -3*p. Solve -x + 29 = 31, -p*x - 21 = 5*m for m. -3 Let g(j) = -2*j**3 - 126*j**2 + 10*j + 635. Let y be g(-63). Solve -3*z = -y*p + 4, 5*p + 17 = 5*z - 9*z for z. -3 Suppose -51 = -4*j - 19. Let x = j + -4. Let i = -95100 + 95105. Solve 2*t = 2*n - 14, x*t = -4*n + i*t + 19 for n. 4 Let s(w) = w**3 + 2*w**2 - 5. Let c be s(3). Suppose 3*n - 21 = -a, n - c = -0*a - 4*a. Suppose -f - 4 = -a. Solve -3*j - 3*g = -3, -f*j + 9 = -g + 4*g for j. 3 Let o(g) = 2*g**2 - 12*g - 10. Let q be o(9). Suppose 2*w = -q + 152. Suppose -22 = -4*x + w. Solve 5*a + x = 4*i, -a = i - 0 + 2 for a. -3 Suppose -47*w = 3151 - 3386. Solve -10 = -4*t - 0*t - 2*x, -2*t - w*x - 15 = 0 for t. 5 Let a be ((-13)/(-3))/(1/3). Let u be ((-20)/(-40))/((-2)/(-4) - 3/12). Solve z + 4*z = -r, 3*r + u*z = -a for r. -5 Suppose 2*o - o - 21 = 3*v, -2*v + 54 = 5*o. Suppose -3*b + o = -4*h - 7*b, 5*b = 4*h - 33. Solve -3*g - 4 = r, -2 = 2*g + h for r. 2 Suppose 0 = -539*r + 512*r. Solve r = -5*i - 5*a - 25, 2*i + 3*i = -2*a - 13 for i. -1 Suppose 3*s - 7*s + 324 = 0. Let d(t) = -t**3 - 4*t**2 - 2*t + 15. Let y be d(-5). Let q = s - y. Solve -3*b + r = 17, -6*b - q = -2*b - 3*r for b. -4 Suppose -4*r + 6 = -5*j - 8, 36 = 3*j + 5*r. Solve 4*g = -z + 8, -2*z = 3*g + j*z - 19 for g. 1 Let o = -26 + 15. Let w(j) = j**3 + 12*j**2 + 11*j + 5. Let r be w(o). Solve -s + 23 = r*k - 3*s, s = -5*k + 26 for k. 5 Let
{ "pile_set_name": "DM Mathematics" }
+ v - 1. Let y be u(p). Suppose -4*d + 98 = 2*w, -3*d = -3*w - 2*w - y. Does 15 divide d? False Let p(j) = 7*j**2 - j + 2. Let x be p(1). Let r be (-1)/(x/(-1950)) - (-3)/12. Let w = 420 - r. Does 22 divide w? True Suppose -2730*q - 70268 = -2732*q - 4*b, -5*q - 3*b + 175628 = 0. Is q a multiple of 17? True Let p be (37/(-7) - -1)/((-3)/21). Let f = 33 - p. Suppose -9 = f*a, -4*c + a + 115 = -2*c. Is 8 a factor of c? True Is (364 - -3) + (5/(-1) - 2) a multiple of 6? True Suppose -2*w + 5*w - s - 12 = 0, 2*w - 7 = s. Suppose 0 = -a + w*a. Suppose a = 4*i, 75 + 58 = f - 5*i. Is 19 a factor of f? True Let j(u) = 10. Let c(l) = -14 - 2*l - 15 + 8*l**2 - 7*l**2 + 3*l. Let w(r) = 2*c(r) + 7*j(r). Is w(-4) a multiple of 21? False Let y(w) = 2*w**3 - 4*w**2 + 5*w - 4. Let t be y(2). Suppose 15*f = -t*f + 1386. Is 3 a factor of f? True Suppose 65*k + 84*k - 6600600 = -51*k. Does 25 divide k? False Let w = -152 - -152. Suppose 12*n - 971 - 1537 = w. Is n a multiple of 66? False Suppose -3*o = -3*q - 4341, -3*o - 2*q + 4306 = -0*o. Does 45 divide o? True Let w = -42 + 18. Let x = -19 - w. Suppose -x*i + 93 = -2. Is 2 a factor of i? False Let u(d) = -5*d**3 + 3*d**2 - 4*d. Let j(b) = -b**3 - b. Let r(o) = -6*j(o) + u(o). Suppose 2*m = -5*k - 3 + 28, 0 = -3*k - 3*m + 24. Does 19 divide r(k)? False Let f = -247 + 3303. Does 33 divide f? False Suppose 310*z - 4841916 = 26*z. Is z a multiple of 275? False Suppose 3*i + 5*l = 25 + 134, -237 = -5*i + l. Does 3 divide 4*(-606)/i*-2? False Let p be 649 + 21 + 8 + -1. Let s = -216 + p. Is s a multiple of 29? False Is 10 a factor of 18/(-21)*-7*(-21650)/(-30)? True Suppose 0 = -15*v + b + 41160, -2*v - 46*b + 50*b + 5488 = 0. Is 49 a factor of v? True Let h(z) = 389*z - 318. Is 144 a factor of h(10)? False Let o be 2/24 + (-1591)/516. Does 8 divide 99/12 - o/(-12)? True Suppose 3*n = 10*n - 49. Suppose -n*u + 5*u + 3*l + 155 = 0, -5*u + 393 = -2*l. Is 14 a factor of u? False Let j(q) be the first derivative of -q**4 + 5*q**3/3 + 4*q**2 + 4*q + 3. Let z be 7/(-3) - 26/39. Is 31 a factor of j(z)? False Let a = 130668 + -69553. Is 17 a factor of a? True Let w be (-1 + -3)/((-24)/408). Let x = 191 + w. Is x a multiple of 3? False Suppose 5*i - 3*i + 2*z = 80, -5*i = -z - 176. Suppose k = -3*k - i. Is 29 a factor of (-31025)/(-153) + (-2)/k? True Is (-1)/((-3)/(-2)) + (-180404)/(-1137) a multiple of 3? False Let i(u) = -2*u**3 + 79*u**2 - 84*u - 164. Does 106 divide i(32)? True Let j = -2174 - -4603. Suppose 261 = -4*o + 4*v + 2693, 0 = 4*o - v - j. Is 71 a factor of o? False Suppose -4*t - y + 37 = 0, -2*y + 1 = 2*t - 5*y. Suppose -7*n = -t*n. Suppose -5*s + 2*b + 3*b + 240 = n, 0 = 5*s - 3*b - 246. Is s a multiple of 18? False Suppose 772*x - 750*x = 113410. Is x a multiple of 64? False Suppose 1 = 3*i - 5. Suppose -2*w + w = 4*l - 59, l + i = 0. Suppose 0 = 62*b - w*b + 1140. Is 19 a factor of b? True Suppose -43 = 2*f - 5*f + 5*d, -3*d - 27 = -2*f. Suppose 197 - 2555 = -f*v. Does 17 divide v? False Suppose -288834 = -106*x + 37*x. Does 7 divide x? True Let w(z) = 338*z + 152. Let b be w(-8). Is 44 a factor of (b/203)/(2/(-7))? True Suppose 13 = -2*d - 1. Let x(k) = 4*k**3 + 12*k**2 + 17*k. Let b(u) = -9*u**3 - 24*u**2 - 35*u - 1. Let z(o) = 3*b(o) + 7*x(o). Is 16 a factor of z(d)? True Suppose 3 = g + 1, i + g - 39 = 0. Suppose -2*b = -11 - i. Is b a multiple of 24? True Suppose -4*w + 17 + 15 = -2*r, -r = -5*w + 46. Let x(o) = 23*o - 176. Let n be x(8). Suppose -n*j - 140 = -w*j. Is 35 a factor of j? True Let a be (4/14)/(-1 + (-8)/(-7)). Suppose -a*w + 40 = 6*w. Suppose 0 = -w*t - 3*k + 149, -2*t + 69 = t - 5*k. Is 28 a factor of t? True Let f(l) = -417*l**3 - l**2 - 10*l - 15. Is 6 a factor of f(-2)? False Suppose 4*n = 5*r + 12, -12 = -5*n + 3. Suppose -2*l + 3*w + 137 = r, 5*l = 5*w - w + 332. Suppose 3*k - f - 86 = f, -2*k = 2*f - l. Is 14 a factor of k? False Let m be (1 + -1 - -2)/(18/45). Suppose 178 = m*k - y, 0 = 5*k + y - 4*y - 184. Is 3 a factor of k? False Let h(u) = -2*u**2 - 4*u - 4. Let y be h(-3). Let i be (5*41)/(11 + y). Suppose 4*z = 2*j + 121 + i, 4*z - 3*j = 321. Is 14 a factor of z? True Let g = -1192 - -644. Let q = -439 - g. Does 8 divide q? False Let d(c) = 15*c + 22*c + 5 - 44*c + 10*c**2 + 3*c**3. Is 18 a factor of d(8)? False Let s = 5206 + 3326. Is s a multiple of 71? False Let c(l) = -77 + 287 + 28*l - 118. Is 12 a factor of c(30)? False Let k = -3095 + 4343. Does 96 divide k? True Let m be ((-20)/(-3))/(120/432). Suppose m*i - 718 = 1466. Does 10 divide i? False Let l(n) = n**3 - 9*n**2 - 10*n + 3. Let r be l(10). Is 22 a factor of r/3*-3*(-349)/3? False Let o(t) = 40*t - 271. Let a(r) = -42*r + 272. Let p(y) = 5*a(y) + 6*o(y). Is 17 a factor of p(10)? True Let s be (-25)/(-15) + (-2424)/(-9). Suppose 0 = 275*c - s*c - 676. Is 22 a factor of c? False Suppose -2*o = -6*o + 60. Suppose -f = -o*f + 126. Is 13 a factor of 52/8*(1 + f)? True Let j(a) = 5*a**2 + 17*a - 37. Let w be j(-12). Let k = 807 - w. Is k a multiple of 9? False Suppose -3 = l, -g - 6*l = -7*l - 6. Let h(u) = 10*u**3 - 8*u**2 + 13*u - 7. Is h(g) a multiple of 46? True Does 19 divide (-2)/((-8)/53290) - -6*(-9)/(-108)? False Let y(k) = -k**3 + 11*k**2 - 5*k - 39. Let x be y(10). Suppose -x*s = 15*s - 2496. Does 3 divide s? True Let l = 46305 + -21342. Does 159 divide l? True Suppose 0 = -3*l + 37 + 35. Suppose c + 81 = -5*p - l, 3*p - 65 = c. Let i = 0 - c. Is i a multiple of 16? True Suppose 0 = 5*v - 7950 + 630. Is v a multiple of 23? False Let z be (-4)/(6/63*(-6)/(-8)). Let m = z - -94. Suppose 2*p - 118 = 2*o, -p - 2*o + 109 - m = 0. Does 7 divide p? True Suppose 3*p - 42 = -3*n, 2*n - 13*p + 9*p - 52 = 0. Is -180*(108/243 - 35/n) a multiple of 18? True Suppose -5*j - 129 = -2*y - 122, 0 = 5*j - 15. Does 4 divide y? False Suppose 50 = -5*r + 17*g - 12*g, 0 = 5*r - 2*g + 44. Does 4 divide 4/r + (-153)/(-6)? False Let c(w) be the first derivative of -w**2 + 13*w - 11. Let f be c(-3). Let l(v) = 3*v + 11. Is l(f) a multiple of 20? False Suppose a - 376 = -a + 3*r, -2*a + r + 380 = 0. Suppose -o + a = -0*o - m, 975 = 5*o - m. Does 28 divide o? True Let n = 2554 - -6581. Is n a multiple of 105? True Let x = 47 - 40. Let l(z) = 2*z**2 - 4*z + 2. Let w be l(x). Does 12 divide -4*(-6)/(w/39)? False Suppose -3*c + 96555 = 5*r + 15920, -11*c = -2*r + 32254. Does 86 divide r? False Let q = -6677 - -12689. Does 6 divide q? True Suppose 0 = h + 14 - 20. Suppose -5*d + 2 = 3*l, d + h = -l + 2*l. Suppose 4*g - 504 = -4*r, 2*g = 4*g - l. Is r a multiple of 10? False Let h = -885 + 638. Let y = h - -633. Is 28 a factor of y? False Let x be 84/63*((-1026)/2)/1. Is 18 a factor of (x/(-133))/(4/322)? True Let h(f) = 2*f**3 - 2*f**2 - 2*f + 7. Let y = -9 + 13. Let q be h(y). Let u = q - -37. Is 6 a factor of u? True Suppose 48*t = -385 + 6961. Let g = -48 - 47. Let p = g + t. Is p a multiple of 14? True Let o = -4463 + 6407. Is o a multiple of 3? True Let k = 1169 - 799. Does 10 divide k? True Let g = 68 + -63. Suppose -4 = g*n - 144. Let c = n + 31. Does 6 divide c? False Let m(u) = 4*u**3 - 10*u**2 - 34*u + 15. Let y(v) = 5*v**3 - 10*v**2 - 33*v + 14. Let x(t) = -4*m(t) + 3*y(t). Does 3 divide x(12)? True Suppose -3*v + 197 + 224 = f, -v = -3*f + 1263. Suppose 0 = 2*q + 45 - f. Let i = q - 75. Is i a multiple of 54? False Suppose 9*m - 8*m - 5*h = -479, -1389 = 3*m - 3*h. Is 18 a factor of (-14)/7*(1 + m/6)? False Let z be 39*((-16)/6 - -1). Let h = z + 65. Suppose 0 = 5*t + 4*m - 105, 0 = -t - h*t + m + 12. Is t a multiple of 8? False Suppose 0*n - 4176 = -3*p + n, 0 = 2*n. Does 8 divide p? True Let w = -19053 + 29355. Is 51 a factor of w? True Suppose -b - w + 79 = 0, -12*b = -7*b + w - 379. Is 31 a factor of 1*((-124)/(-6))/(10/b)? True Suppose -10363 = -x - 3359. Is 34 a factor of x? True Let k = -37 + 83. Let n(a) = -a**2 + 51*a - 158. Does 12 divide n(k)? True Does 21 divide (282548/35 - -6)/(18/45)? False Let v = -564 - -1095. Suppose 1874 = 5*r - v. Does 13 divide r? True Let p be (-40)/4 - 3/3. Let n(x) = -x**2 - 9*x + 26. Let q be n(p). Suppose 0 = -q*k - 2*h + 152, 0*h = -3*h. Is k a multiple of 13? False Let w = 33 + -31. Suppose -w*j + 1350 = 3*j. Suppose 0 = 21*x - 18*x - j. Does 45 divide x? True Suppose 0 = 4*n
{ "pile_set_name": "DM Mathematics" }
64 Simplify (-2*(-2 + sqrt(3)*-3) + (sqrt(108)/sqrt(3))/sqrt(12) + -5)**2. -14*sqrt(3) + 148 Simplify 2*(sqrt(5) + (sqrt(5) - 6*(-4*sqrt(5))**2)) - (-4*(sqrt(5) + 0) - -5*(sqrt(125))**2). -1585 + 8*sqrt(5) Simplify (-5*1*(sqrt(133) - ((sqrt(133) - (sqrt(133) - 2*sqrt(133))) + sqrt(133)) - sqrt(133)))/(2*sqrt(77)/(sqrt(55)/sqrt(5))). 15*sqrt(19)/2 Simplify ((5*sqrt(396)/sqrt(144))/(3*sqrt(484)*-1))**2. 25/1584 Simplify -1*-6*((sqrt(572) - -3*sqrt(572))*-4)/sqrt(11). -192*sqrt(13) Simplify ((5*(-1*sqrt(117)*-2 - sqrt(117)))/(sqrt(54)/(sqrt(6) + (sqrt(96)*-4 - sqrt(6)))))**2. 83200 Simplify (2*(sqrt(88) + (sqrt(88) + sqrt(88)*-1 + sqrt(88) - sqrt(88))) + sqrt(88) + sqrt(88))/(sqrt(16)/(4*sqrt(2))). 16*sqrt(11) Simplify 5*(4 + -1 + sqrt(175) + -2 - (1*(sqrt(175) + sqrt(175) + 1) + -2 + -1*sqrt(175)))**2. 20 Simplify -4 + ((sqrt(1053) + 0 + sqrt(1053))*4)**2 + sqrt(1053)*1*5. 45*sqrt(13) + 67388 Simplify -3*(((sqrt(128))**2 + -1)*-6 + -4). 2298 Simplify (sqrt(360) + sqrt(360) + (sqrt(360) - (sqrt(360) - (sqrt(360) - (sqrt(360) - -2*sqrt(360))))) + sqrt(360))/((sqrt(1000) + sqrt(10))/sqrt(5)). 6*sqrt(5)/11 Simplify ((-1*sqrt(342) + sqrt(342))*-4)/(2*(sqrt(2) - (sqrt(2) - (sqrt(18)/(sqrt(9) - ((sqrt(9) - sqrt(225)) + sqrt(9) + sqrt(9)) - sqrt(9)) - sqrt(2))))). 0 Simplify (-6*(2 + sqrt(112)) + 0 + 3)**2. 432*sqrt(7) + 4113 Simplify -3 + -5*(sqrt(99) - (sqrt(99) - (-2 + sqrt(99) + 2))**2)*1*-6. -3 + 90*sqrt(11) Simplify (sqrt(32) + 1)*4 + (3 + (1 + sqrt(2))**2 - sqrt(2)) + sqrt(8)/sqrt(4)*4. 10 + 21*sqrt(2) Simplify (sqrt(20) - (sqrt(20) + -2*sqrt(20)))/sqrt(4) + (sqrt(5) + (sqrt(5) - sqrt(45)))*-2 + sqrt(10)/(2*sqrt(18)). 25*sqrt(5)/6 Simplify (1 + -2*sqrt(288) + 0)**2 - (((sqrt(288) - -1*sqrt(288)) + sqrt(288))*6 + sqrt(288) - (sqrt(288) + (sqrt(288) - (1 + sqrt(288) + -1))))**2. -92159 - 48*sqrt(2) Simplify (-1 + 3 + (sqrt(128) + -2)*-6)*-2 + 1. -27 + 96*sqrt(2) Simplify (sqrt(224)/(sqrt(32)/(sqrt(4) + sqrt(4)*3 + sqrt(4))))/(-3*sqrt(16)*-3). 5*sqrt(7)/18 Simplify 6*(sqrt(45)/((sqrt(18) - (-2*sqrt(18) + sqrt(18)))/sqrt(2)) - (-3*(sqrt(15)/sqrt(3))**2 + 5)). 3*sqrt(5) + 60 Simplify -6*(sqrt(200)/sqrt(10) - sqrt(5)*5*2). 48*sqrt(5) Simplify -2*((4 + (sqrt(1539) - (sqrt(1539) + -1)) - (-4 + (sqrt(1539)*1 - sqrt(1539)))) + -3)**2*4. -288 Simplify sqrt(245) + (sqrt(245)*6 - sqrt(245))**2 + sqrt(245) + -1 + sqrt(245) + -2*sqrt(245)*-4. 77*sqrt(5) + 6124 Simplify (-1*sqrt(152)*-1 + -1*sqrt(152)*-2)/(sqrt(32)/(sqrt(36)*2)). 18*sqrt(19) Simplify (3 + ((2 + sqrt(325) + sqrt(325))*-1 - -3*(sqrt(325) + 0)))**2. 10*sqrt(13) + 326 Simplify (-6*-2*sqrt(567) + sqrt(567) + -1 + -5)**2*4. -5616*sqrt(7) + 383436 Simplify -3*-5*(sqrt(76) - sqrt(19)) - sqrt(171)/(sqrt(99)/sqrt(99)). 12*sqrt(19) Simplify 1 + (-3 + ((sqrt(2592) - sqrt(2592)*-1) + sqrt(2592) + sqrt(2592))*1)**2. -864*sqrt(2) + 41482 Simplify 1 + (-1 + sqrt(275))**2 - (3*sqrt(275)*-5)**2. -61598 - 10*sqrt(11) Simplify (-1 + -2 + sqrt(3) + 0 + -1 + sqrt(3))*-1*4 + -3. -8*sqrt(3) + 13 Simplify ((-2*(-1 + sqrt(1216)) + sqrt(1216))*-4 - (5 + -4*(sqrt(1216) + 3)))**2. -128*sqrt(19) + 77825 Simplify (sqrt(450)/(2*sqrt(10)) - (-5*sqrt(45)*-2 + sqrt(45) - sqrt(45)))/(6*(-2*sqrt(9) + sqrt(9) - sqrt(9)) + sqrt(90)/sqrt(90)). 57*sqrt(5)/70 Simplify 4*((-2 + sqrt(112)*2 - (-2*sqrt(112) + -4))**2 + 3)*4. 1024*sqrt(7) + 28784 Simplify (4 + sqrt(27) + 4 + sqrt(3))**2 - (-5 + sqrt(300) + 2 + sqrt(300) + sqrt(300)). 34*sqrt(3) + 115 Simplify (1 + -2*(sqrt(2) - (sqrt(4)/sqrt(2) + 1)) + 2)*-3. -15 Simplify (1*(-3 + sqrt(117) + 0 + sqrt(117) - (sqrt(117) + -4 + 0)))**2. 6*sqrt(13) + 118 Simplify 2*(-1 + sqrt(76) + -4 - sqrt(76))*6 + -2. -62 Simplify sqrt(20)/(sqrt(100)/sqrt(10))*4 - ((sqrt(2) + sqrt(50) + -2)**2 + -1*(-2*sqrt(2) - sqrt(2))). -76 + 25*sqrt(2) Simplify (((3*1*sqrt(264))/sqrt(11))/((sqrt(768) + 2*sqrt(768))*-1 - sqrt(768)))**2. 9/512 Simplify -5 + sqrt(432)*2 + sqrt(432) + (3*sqrt(192)*1 - sqrt(192))**2. 36*sqrt(3) + 763 Simplify 2*(-5*sqrt(225)*-6)/(sqrt(605) - -1*(2*sqrt(605) - sqrt(605))). 90*sqrt(5)/11 Simplify ((4*1*sqrt(171)*1)/(sqrt(63)/((sqrt(7) + sqrt(42)/sqrt(6))*5 - sqrt(7))))**2. 24624 Simplify (4*sqrt(44) - (2 + sqrt(176))**2)*-4. 32*sqrt(11) + 720 Simplify ((sqrt(88)*1 - sqrt(88))*-4)/sqrt(8) - ((sqrt(704) + -1)**2 + 5*(sqrt(22)/sqrt(2))**2). -760 + 16*sqrt(11) Simplify (sqrt(847)*1 + 4 - (4 + 1*sqrt(847)) - (-4*2*sqrt(847) + sqrt(847) + -1 + (-2*sqrt(847) - sqrt(847))))**2. 220*sqrt(7) + 84701 Simplify (-3 + (sqrt(833) + 0 - sqrt(833)) + sqrt(833) - (sqrt(833) - (sqrt(833) + 2*sqrt(833)))*-6)**2 - (sqrt(833) + -2*(-2 + sqrt(833)))*-2. 448*sqrt(17) + 100810 Simplify 2*(1 + -3 + (sqrt(68))**2 - 1*(sqrt(136) - sqrt(136)*1)/sqrt(8)). 132 Simplify (-1 + (2*(-3 + sqrt(17)) - sqrt(17)))**2 + 4 + sqrt(272) + sqrt(17) + 1 + sqrt(17) + 0. -8*sqrt(17) + 71 Simplify 1 + (4 + (sqrt(55)/(sqrt(11)*-1) - sqrt(125)*-4))**2. 152*sqrt(5) + 1822 Simplify 0 + (sqrt(297)/(sqrt(1089)*2 - sqrt(1089)))/((sqrt(220) + sqrt(55))/sqrt(5) - sqrt(66)/(sqrt(54) - sqrt(6))). 2*sqrt(3)/55 Simplify (((5 + -1 + sqrt(99) - ((-5 + sqrt(99)*2 - sqrt(99)) + sqrt(99))) + 2)*6)**2. -2376*sqrt(11) + 7920 Simplify -5 + (-2 + sqrt(931) + sqrt(931) + 0 + sqrt(57)/(-2*sqrt(192)))**2. -223*sqrt(19)/4 + 944595/256 Simplify (-1*sqrt(315)/sqrt(5))/(sqrt(9) - (sqrt(288)/sqrt(2) + sqrt(9))) + -3 + -1. -4 + sqrt(7)/4 Simplify (6*6*(sqrt(175) + -4*(1 + sqrt(175)) + sqrt(175))*-5)**2. 2592000*sqrt(7) + 23198400 Simplify ((sqrt(800)*-2)/(sqrt(1200)/sqrt(12))*1)**2. 32 Simplify (sqrt(4719) + (sqrt(4719) + sqrt(4719) + 4*sqrt(4719) - sqrt(4719)) - sqrt(39))/sqrt(300). 13*sqrt(13)/2 Simplify -1*((sqrt(147) - (sqrt(147) + sqrt(147) + 3 + sqrt(147)))*-5 + -4). -70*sqrt(3) - 11 Simplify ((sqrt(240)/sqrt(8))/sqrt(5))/(-6*(sqrt(3) + (2*sqrt(3) - sqrt(3)))). -sqrt(2)/12 Simplify -3*((2 + 1*sqrt(19) + 0 + sqrt(1216))**2 + 2)*-4. 432*sqrt(19) + 18540 Simplify (-2*sqrt(325)*-4 + 0 - (2 + -4*(sqrt(325) + sqrt(325) + 0 + sqrt(325))))**2*1. -400*sqrt(13) + 130004 Simplify (6*((sqrt(270)*5)/sqrt(9))/(sqrt(30)/(sqrt(20)/sqrt(4))))**2. 4500 Simplify (6*(0 + sqrt(99) + 1 + -4))**2. -648*sqrt(11) + 3888 Simplify 5*((-3 + (sqrt(252) + sqrt(63))/sqrt(9) + -2)**2 + 3). -150*sqrt(7) + 455 Simplify 5 + -6*((sqrt(192) - -2*sqrt(192)*4)**2 + sqrt(192)). -93307 - 48*sqrt(3) Simplify (-5*sqrt(49)/sqrt(7))**2 + -4 - (2 + sqrt(567) + 4)**2. -432 - 108*sqrt(7) Simplify -3*sqrt(51)/(sqrt(147)*-1)*3. 9*sqrt(17)/7 Simplify ((sqrt(80)*-1)/sqrt(8))/(sqrt(20) + sqrt(80)/sqrt(4)) + -4*(sqrt(2) - sqrt(8)/(sqrt(12)/sqrt(3)))*-1. -sqrt(2)/4 Simplify (((sqrt(637) + -3 - sqrt(637))*-5)**2 - sqrt(637)) + 5*(sqrt(468) + -2). 23*sqrt(13) + 215 Simplify 2 + -4 + (4*(sqrt(4) + sqrt(24)/sqrt(6)))/(sqrt(18)/sqrt(324)). -2 + 48*sqrt(2) Simplify sqrt(117)*-2 + -1 + sqrt(39)/sqrt(3) - (sqrt(13) + (sqrt(65) + -1*sqrt(65))/sqrt(5) + (sqrt(13) + 1)**2 + -5). -8*sqrt(13) - 10 Simplify (-1 + (2*sqrt(20)*5 - -2*sqrt(20)*3) + 3)**2. 128*sqrt(5) + 5124 Simplify -1 + (4 + (sqrt(1900) + (-2*sqrt(1900))**2 + -3 - sqrt(1900)))*-5*4. -152021 Simplify ((sqrt(21)/(4*sqrt(7))*2)**2 + ((sqrt(6)/sqrt(2)*6)**2 - (3 + sqrt(3) + -1)))*1. -sqrt(3) + 427/4 Simplify (-1 + (sqrt(468) - 5*(sqrt(468) + sqrt(468) + -1)) + (sqrt(468) - 4*sqrt(468)*1) + sqrt(468) + 2 + -1 + sqrt(468) + sqrt(468))**2. -540*sqrt(13) + 37933 Simplify -5*((sqrt(8064)*1 - sqrt(8064)) + sqrt(8064))/(sqrt(64)/sqrt(32)). -120*sqrt(7) Simplify (4*-5*sqrt(60) + sqrt(60))/(sqrt(12) + ((sqrt(96) - (sqrt(96) + 5*sqrt(96))) + sqrt(96) - sqrt(96) - sqrt(96))/sqrt(8) + sqrt(12)). 19*sqrt(5)/4 Simplify sqrt(34)/sqrt(50) + (sqrt(17)*-2 + sqrt(17) + 3)**2 + sqrt(204)/(sqrt(12)*-1) + (sqrt(1088)*-1 - sqrt(17))**2. -34*sqrt(17)/5 + 1403 Simplify 1*((sqrt(143) + -5*(sqrt(143) + 2*sqrt(143)) + sqrt(143) + sqrt(143))/(-2*sqrt(44)) + -3). -3 + 3*sqrt(13) Simplify -6*4*sqrt(252)/sqrt(4)*2. -144*sqrt(7) Simplify ((sqrt(51)/sqrt(3) + 4 + (sqrt(17) + 4)*4)*-1)**2. 200*sqrt(17) + 825 Simplify -5 + 0 + (sqrt(1323)/sqrt(9) - (sqrt(21) + sqrt(168)/sqrt(8))/sqrt(7)) + -2. -7 + 5*sqrt(3) Simplify sqrt(931)*-3 + -2 + (2 + sqrt(19))*-1 + 1. -22*sqrt(19) - 3 Simplify ((5*-2*sqrt(114)*1)/((1*sqrt(66)*-6 + sqrt(66) - sqrt(66))/sqrt(11)))**2. 475/9 Simplify (-4 + -2 + sqrt(55)/(sqrt(20)/
{ "pile_set_name": "DM Mathematics" }
rt(468))) + 1)**2. 168*sqrt(13) + 1921 Simplify (6*(sqrt(15) + sqrt(30)/sqrt(2)))/(sqrt(30)/(sqrt(12)/sqrt(2))). 12*sqrt(3) Simplify sqrt(1008)*4 + -2 - ((sqrt(1008) - (sqrt(1008) + sqrt(1008) + 0 + sqrt(1008))**2) + 0). 36*sqrt(7) + 9070 Simplify (-5 + sqrt(425) + sqrt(17) + sqrt(17) + (-1*sqrt(204))/sqrt(12) - (sqrt(204) + sqrt(204) + (1*sqrt(204) - sqrt(204)))/sqrt(12)*-2)**2. -100*sqrt(17) + 1725 Simplify (2*3*-1*(sqrt(272) - (sqrt(272) - (sqrt(272) + sqrt(272) + -1 - sqrt(272))))*-5)**2*-6. -1474200 + 43200*sqrt(17) Simplify sqrt(22)/sqrt(2) + 3 + (sqrt(352) - sqrt(22))/sqrt(2) + sqrt(55)/((sqrt(175)/sqrt(5))/sqrt(7)). 3 + 5*sqrt(11) Simplify 6*(-2 + sqrt(75))**2 - (4*sqrt(1344))/sqrt(7). -152*sqrt(3) + 474 Simplify -5 + ((-5*(0 + sqrt(147)))**2 - sqrt(147)) + sqrt(147) + ((1*sqrt(147)*-2)**2 - sqrt(147)) + -5. -7*sqrt(3) + 4253 Simplify (-6*(sqrt(72) - -2*sqrt(8))*1*-2)**2. 28800 Simplify 5*sqrt(110)/(-4*sqrt(10)) + -5*(0 + sqrt(11))*3. -65*sqrt(11)/4 Simplify ((sqrt(33)*-4*-5)/(-5*(sqrt(27)/sqrt(9) + sqrt(3) - sqrt(3))))**2. 176 Simplify (2*(-5 + sqrt(108)/sqrt(4) + sqrt(27) + 1))**2. -192*sqrt(3) + 496 Simplify ((2 + sqrt(396) + 1 - sqrt(396)) + 5)**2 + (1*-2*sqrt(396) - (sqrt(396)*-2*2 + sqrt(396)))**2. 460 Simplify -5 + -1 + (-2 + sqrt(128) + -2 - sqrt(128) - sqrt(128)) + sqrt(128) + -3. -13 Simplify (-5 + (-1 + sqrt(1008))**2 + 3)*-3. -3021 + 72*sqrt(7) Simplify 1*-6*-5*(sqrt(1872) + 1 + sqrt(1872)*2 + sqrt(1872)). 30 + 1440*sqrt(13) Simplify (sqrt(200)/sqrt(250) + sqrt(80)*2 + sqrt(80))/(sqrt(256) - sqrt(256)*-1*-5). -31*sqrt(5)/160 Simplify (-2 + sqrt(3) + -2)**2*-3 - (sqrt(3) + (sqrt(3) + (0 + sqrt(3))*2)**2 - sqrt(15)/(sqrt(15)/sqrt(3))). -84 + 24*sqrt(3) Simplify (sqrt(1377)*2*-2*-5)**2*6*3. 9914400 Simplify -2 + (2*sqrt(160))/(sqrt(2) + sqrt(36)/sqrt(2) - sqrt(2)). -2 + 8*sqrt(5)/3 Simplify (-1*(sqrt(55) + sqrt(495))/sqrt(5) + -2*(-5 + sqrt(176)))**2*-1. -1684 + 240*sqrt(11) Simplify (-4 + sqrt(99) + 1 + sqrt(99) + -2 + sqrt(99) + 4*sqrt(99)*-1 + -3 + sqrt(99) + 0 + 2)**2. 36 Simplify (sqrt(56)/sqrt(8) + -4 + (sqrt(126)/sqrt(2) - sqrt(63))**2)*2. -8 + 2*sqrt(7) Simplify (-2*(sqrt(15) + sqrt(60)/sqrt(4)*4 + sqrt(15)))/(2*(sqrt(48)*2 + sqrt(48))). -sqrt(5)/2 Simplify sqrt(700)*3 + 3 + sqrt(84)/(sqrt(72)/sqrt(6))*-3. 3 + 27*sqrt(7) Simplify ((-2*sqrt(2448))**2 + -2)*-6 - ((3*1*sqrt(68) - sqrt(68))/(sqrt(4) + (2*sqrt(64) - sqrt(4))))**2. -939857/16 Simplify 3*1*(2 + sqrt(931))*2. 12 + 42*sqrt(19) Simplify ((-4 + sqrt(272) + 3 + 3*sqrt(34)/sqrt(2) + -2)*-4)**2. -672*sqrt(17) + 13472 Simplify -5 + -5 + (sqrt(637))**2 - (sqrt(156) - -5*(sqrt(156) - (sqrt(156) + 3*sqrt(156))))/sqrt(12). 14*sqrt(13) + 627 Simplify -3 + ((sqrt(176) - (sqrt(176) - 6*(sqrt(176) - (sqrt(176) + 0 + sqrt(176))))) + -5*(sqrt(176) + -1 + sqrt(176)) + 1)**2. -768*sqrt(11) + 45089 Simplify 4 + ((-1 + sqrt(300) + 2)**2 - (sqrt(300) + 2 + -2)). 10*sqrt(3) + 305 Simplify (1*(sqrt(136)/(sqrt(648)*-1) + (sqrt(68) - sqrt(68)*2 - sqrt(68) - sqrt(68))*1))**2. 51425/81 Simplify -1 + (3 + sqrt(11) + (sqrt(11) + -2)*5 + -3)**2. -120*sqrt(11) + 495 Simplify (-4 + 6*(sqrt(200)*3 - sqrt(200) - sqrt(2)) + 1)*2. -6 + 228*sqrt(2) Simplify -5*(-3 + 3*(sqrt(156)*2*-3)/(sqrt(108)/(sqrt(9) + sqrt(144) + sqrt(9)))). 15 + 540*sqrt(13) Simplify (4*(-3*sqrt(102)/sqrt(6) + (sqrt(17) - (sqrt(68) - -4*sqrt(68))/sqrt(4))))**2. 13328 Simplify 5*(1 + ((4*(sqrt(19) + 2))**2 - (3 + (0 + sqrt(19))**2))). 320*sqrt(19) + 1735 Simplify 4 + (sqrt(1200)*-2 + sqrt(12))/(sqrt(64) - -3*sqrt(64)). -19*sqrt(3)/16 + 4 Simplify 3*sqrt(5)*1 + (sqrt(5) - (sqrt(50)/(3*sqrt(10)) + sqrt(5))) + (sqrt(35) - sqrt(35)*-1*4)/(sqrt(63)*-4). 9*sqrt(5)/4 Simplify (-4 + sqrt(180) + 1 - (sqrt(180) - (sqrt(180) + 0)*-5))*-2 + -5. 1 + 60*sqrt(5) Simplify (sqrt(19) - (sqrt(133)*1)/sqrt(7)) + (sqrt(684)*2)**2 + -1 + (sqrt(304)/(sqrt(8)*-1))/sqrt(288). -sqrt(19)/12 + 2735 Simplify sqrt(15)/(sqrt(5) - (sqrt(50) + sqrt(50)*-2)/sqrt(10)) - (-1 + sqrt(363) + -1). -21*sqrt(3)/2 + 2 Simplify (5*sqrt(80) - sqrt(80))**2*3 - (-2*(-5 + sqrt(80)))**2. 160*sqrt(5) + 3420 Simplify (6*(sqrt(170) - (sqrt(170) + sqrt(170)*2))*-5)/(((-2*sqrt(120) + sqrt(120) - sqrt(120))*1)/sqrt(12)). -30*sqrt(17) Simplify (sqrt(648) + -2 + (sqrt(1800)*3)/sqrt(9))**2. -192*sqrt(2) + 4612 Simplify 2*sqrt(112)*-3*5*6. -720*sqrt(7) Simplify -4 + sqrt(130)/(sqrt(10)*1) + (sqrt(13)*2 + -3)**2 + -1. -11*sqrt(13) + 56 Simplify ((-5*3*sqrt(864))/(6*(sqrt(288) + 1*sqrt(288) + sqrt(288)) + sqrt(288)))**2. 675/361 Simplify (((1*sqrt(76) + sqrt(76) - sqrt(76) - sqrt(76)) + sqrt(76))*-6*3)/(sqrt(108)/sqrt(3) + -4*sqrt(20)/sqrt(5)). 18*sqrt(19) Simplify (2*sqrt(50)*-2)/((sqrt(90) - -3*sqrt(90))/sqrt(9) + sqrt(10))*-2. 8*sqrt(5)/5 Simplify (6*-2*sqrt(1539))**2 - (sqrt(190) - -2*sqrt(190)*-3)/sqrt(10). 5*sqrt(19) + 221616 Simplify (sqrt(140)/(sqrt(10) - (sqrt(810) - (2*sqrt(810) + sqrt(810) - sqrt(810))) - sqrt(10)))/(sqrt(252)*1 - sqrt(28)/sqrt(4)*4). sqrt(2)/18 Simplify 5 + -3 + sqrt(300) + 1 + 2 + 0. 5 + 10*sqrt(3) Simplify (4*(sqrt(3) + -2*sqrt(15)/sqrt(5) + sqrt(12)/(sqrt(12)/sqrt(3))))**2*-2. 0 Simplify ((sqrt(156)/sqrt(3))/sqrt(4) - -2*(3 + sqrt(13))**2) + (sqrt(52)/sqrt(4) - sqrt(13))*5 + ((sqrt(78)/sqrt(2))/sqrt(3) - sqrt(13)). 44 + 13*sqrt(13) Simplify 4*((-2 + sqrt(7))*-6 + sqrt(7) + sqrt(63)/(sqrt(9) - (sqrt(144) + sqrt(9)))) + -1. -21*sqrt(7) + 47 Simplify -1 + ((1*sqrt(32))**2 + 3 - (-1*sqrt(242) + sqrt(242) + 1)). 33 Simplify 2*(-2*5*(-1 + sqrt(10)/sqrt(80)))**2 + -4. -100*sqrt(2) + 221 Simplify ((sqrt(154)/(sqrt(176) - sqrt(176)*3))/(sqrt(700) - (sqrt(700) + (2*sqrt(700)*-2 - sqrt(700)) + sqrt(700))))**2. 1/51200 Simplify (sqrt(1377) + sqrt(1377) + -1 + sqrt(1377) + -5)**2 + 0 + (-2 + sqrt(1377) + sqrt(1377)*-2*1)**2. -288*sqrt(17) + 13810 Simplify (5*((-6*(sqrt(168) + sqrt(168)*1) - sqrt(168)) + sqrt(168))/sqrt(6)*-1)**2. 100800 Simplify (0 + ((-1 + sqrt(320))*-3 - (-1 + sqrt(320) + 0))**2)*-5. -25680 + 1280*sqrt(5) Simplify 6*((-1 + sqrt(288) + 1)**2 + (sqrt(288) - 4*(sqrt(288)*4)**2 - sqrt(288)))*1. -108864 Simplify ((sqrt(11) - (-1 + sqrt(11) + -2) - (sqrt(11) + 0 + (sqrt(99) - sqrt(11)))) + 1*(sqrt(99) + -1) + 4)**2. 36 Simplify sqrt(85)/((sqrt(320)*-5 - sqrt(320)) + sqrt(320) + sqrt(320) + sqrt(5)) + 3 + -2*sqrt(1700). -621*sqrt(17)/31 + 3 Simplify (sqrt(640)/sqrt(2)*2)/(sqrt(4) - sqrt(48)/sqrt(48) - (sqrt(32)/(sqrt(16)/sqrt(2)) - sqrt(4))). 16*sqrt(5) Simplify (-2*(sqrt(931) + 1 + 4))**2 + ((-6*(sqrt(931) + sqrt(931) + 0) - sqrt(931)) + sqrt(931))**2*2. 280*sqrt(19) + 271952 Simplify ((sqrt(171) + 4*(sqrt(171) - sqrt(171)*3) + sqrt(171) - sqrt(171)) + sqrt(171) + sqrt(171))/sqrt(9) + -3*sqrt(1216)*-2. 43*sqrt(19) Simplify 5 + (-2*sqrt(1452) + 0)**2 - (-3 + (-1 + sqrt(1452))**2 + sqrt(1452) + -1). 22*sqrt(3) + 4364 Simplify 2 + (-1*(-1 + 4 + sqrt(125)))**2*-5. -668 - 150*sqrt(5) Simplify (sqrt(630)/sqrt(40))/sqrt(9) + sqrt(784)/sqrt(7) + sqrt(21)/sqrt(3)*3. 15*sqrt(7)/2 Simplify -4*((sqrt(204) + (3*sqrt(204) - sqrt(204)))*-4 - sqrt(204))/(sqrt(132)/(1*sqrt(11))). 52*sqrt(17) Simplify -2*(-3 + (-1*(sqrt(110) - (sqrt(110) - sqrt(110)*-1)))/sqrt(10)). -2*sqrt(11) + 6 Simplify (4*-2*sqrt(441) + 1*sqrt(441)*-4)/(sqrt(1008) - 1*(sqrt(1008) - 1*sqrt(1008))). -3*sqrt(7) Simplify (sqrt(24) + (2*sqrt(600) - sqrt(600)))/((sqrt(1452) - (sqrt(1452) - (sqrt(1452) - 2*sqrt(1452)))) + sqrt(1452) + sqrt(12))*-1. -6*sqrt(2) Simplify (sqrt(119) - sqrt(119)*-2*5 - (sqrt(119) + sqrt(119)*2)*3)/((-2*sqrt(70))/sqrt(10) + -2*(sqrt(14)/sqrt(2) - sqrt(7))). -sqrt(17) Simplify sqrt(245)*3 + -4 + ((-1 + sqrt(245))*-3)**2 + -1. -105*sqrt(5) + 2209 Simplify 3*((1 + 2*sqrt(7))*-2 + ((0 + sqrt(252))*-3)**2). -12*sqrt(7) + 6798 Simplify 0 + ((-1*sqrt(11) + -3)*-5 - (sqrt(132)/sqrt(27))/sqrt(4)). 15 + 14*sqrt(11)/3 Simplify -4 + ((sqrt(78) - sqrt(78)*-3 - sqrt(78))*-6)/(sqrt(36)/(sqrt(6) - -2*sqrt(6))). -54*sqrt(13) - 4 Simplify ((3*(3*sqrt(3520) + sqrt(3520)))/(2*sqrt(99)*5))**2. 256/5 Simplify 0 + -1 + sqrt(192) + -5 + sqrt(9)/sqrt(3)*-5*-3 + -1. -7 + 23*sqrt(3) Simplify (sqrt(245) - (sqrt(245) + -1)*-2 - (sqrt(720) + sqrt(720) + -3*sqrt(720)*1 + sqrt(720))**2)*5. -10 + 105*sqrt(5) Simplify 1 + sqrt(1300)*4 + -3 + -3. -5 + 40*sqrt(13) Simplify 1*sqrt(147) + (-3*sqrt(15))/sqrt(5) +
{ "pile_set_name": "DM Mathematics" }
-3*u + s - 26 = 0. Is z + 6 + (u - -9) a multiple of 5? False Let f(v) = -25*v - 7. Does 21 divide f(-7)? True Let u(m) = 11*m**3 - 4*m + 1. Let w(j) = -21*j**3 + 7*j - 2. Let t(h) = 11*u(h) + 6*w(h). Is 6 a factor of t(-1)? True Suppose 5 = 5*z, -138 = 4*w + 3*z + 95. Let v = w + 159. Is 11 a factor of v? False Let n = 19 + -9. Let t be -7*1*(-19)/133. Is n/(t + (-12)/16) a multiple of 12? False Suppose -3*m = 0, 3*j + 2*m - m + 513 = 0. Let u = -53 - j. Suppose 86 = w + w + 4*q, 5*q + u = 3*w. Is w a multiple of 14? False Suppose -7*y + 3*y = -12. Let i = y + -2. Does 3 divide i/(-2)*-6 + 4? False Let i(m) = -8*m - 5. Let t be i(7). Let r = t - -126. Is 25 a factor of r? False Let j(s) = 7*s**3 - 9*s**2 - 40*s + 29. Let r(y) = -3*y**3 + 5*y**2 + 20*y - 14. Let x(d) = 2*j(d) + 5*r(d). Is x(9) a multiple of 6? True Suppose -2*i - k + 62 = 0, -3*i + k + 82 = -3*k. Let n = i + 29. Is (n + 3)/(0 - -2) a multiple of 8? False Let s = 16 + -19. Let m be -4 - (2 - (s + 2)). Let d(t) = t**2 - 3*t - 10. Does 22 divide d(m)? False Suppose 6*z + 3*z = 414. Let a = 93 - z. Is 13 a factor of a? False Let z(k) = -456*k - 169. Is z(-7) a multiple of 88? False Let h = 40 - 36. Suppose 4*r - 7*j - 432 = -3*j, -2*r - h*j = -216. Suppose r = 6*v - 738. Is 27 a factor of v? False Let i = 1747 - 893. Is 7 a factor of i? True Let z(t) = -t**3 - 8*t**2 + 31*t - 44. Does 32 divide z(-12)? True Let u(z) = 551 - 552 - 37*z + 2*z. Is u(-3) a multiple of 26? True Suppose 5 = -7*s + 2*s. Let i be 24*s*(-9)/6. Let g = 57 - i. Is g a multiple of 6? False Let q = -56 - -64. Is (-4*q/(-32))/((-2)/(-228)) a multiple of 15? False Let n(o) = 10*o**2 - o. Suppose -3*j = -3*h, -2*h + h - 2 = j. Let z be n(h). Suppose 2*y - 49 = -5*u, -4*y + 5*u + z = -12. Is 12 a factor of y? True Let v(n) = n**3 + 9*n**2 + 7*n - 1. Let x be v(-8). Suppose 0*s - 4*s + x = -3*d, 0 = -5*d + 2*s - 7. Is 11 a factor of 4 + d - -16 - -3? True Let r(s) = s**3 - 5*s**2 + 2*s - 5. Let q be r(5). Suppose -2*m + q*x + 18 = -m, 2*x - 6 = -4*m. Suppose 44 = m*w + 14. Is 10 a factor of w? True Let s be (-6)/(-9) + (-770)/(-6). Does 5 divide s/4 - (15/12 + -1)? False Let c(x) = 3*x - 10. Let y be c(4). Suppose 10 = 5*m + 5*k, y*m + k = 4*k + 14. Suppose -292 + 40 = -m*i. Is 13 a factor of i? False Suppose 3*b - 55 = 2*b. Let a(o) = -o**3 - 32*o**2 + 32*o + 62. Let v be a(-33). Let f = v - b. Does 10 divide f? True Suppose 122 = -5*h - 13. Let t = 101 + h. Suppose -t = -4*v + 22. Does 12 divide v? True Let l(n) = 1 - 6*n**2 + 3 - 5*n**2 + 20*n**2. Is 5 a factor of l(-3)? True Suppose 8*y + 38*y = 29808. Is 52 a factor of y? False Let a(x) = x**3 + 6*x**2 - 7*x - 11. Suppose 0 = 2*i - 2*l + 8, -2*i + l = 4*l + 13. Let b be a(i). Suppose -185 = -2*n + b. Is 32 a factor of n? False Let h(f) be the second derivative of f**3/6 + f**2 + f. Let z be h(-2). Suppose z = 2*o - o - 40. Does 8 divide o? True Suppose -14601 - 32355 = 13*m. Does 22 divide -2 + m/(-18) + 2/(-3)? True Is -3 + (-4)/(-6)*15147/18 a multiple of 6? True Let t(n) = n**3 - 13*n**2 + 12*n + 3. Let i be t(12). Suppose 0 = -y + 4, i*m + 0*m - 560 = -5*y. Does 18 divide m? True Let x(u) = -u**2 - 12*u + 15. Let l be x(-13). Suppose 179 = -l*w + w. Let g = w - -263. Is g a multiple of 23? False Suppose 0 = 4*l - 3*c - 21 - 38, 5*c - 15 = 0. Let y = -13 + l. Is (-3)/(2*y/(-40)) a multiple of 3? True Let g(c) = -c**2 + 18*c - 28. Let n be g(18). Let p = 36 + n. Is p a multiple of 3? False Does 10 divide 20748/60 - (-24)/20? False Let w(x) = x**3 - 11*x**2 - 14*x - 11. Let s be w(12). Let g = 59 + s. Does 24 divide g? True Let w = 701 + -632. Is 3 a factor of w? True Let g(y) = 5*y + 51. Is 29 a factor of g(-4)? False Let i = 1 + -15. Let w = -11 - i. Is 3 a factor of w? True Let t be -123*1/6*-10 - 1. Let n(h) = -108*h. Let m be n(1). Let w = m + t. Is w a multiple of 25? False Let k(b) = -2*b - 3*b + 12*b - 1. Let v be (-424)/(-56) - 7 - (-24)/7. Does 12 divide k(v)? False Suppose 267 = z - 0*z. Suppose -3*q - 240 = z. Is 14 a factor of q/(-4) + (-2)/8? True Let p = -7 - -10. Let o = -12 + 19. Suppose -p*n + 97 = o. Is 11 a factor of n? False Suppose -18*k = -16*k - 500. Suppose -52 = 2*v - k. Is 33 a factor of v? True Let m(x) = 2*x**2 - 33*x + 75. Does 3 divide m(15)? True Let j(d) = 24*d**2 - 32*d + 144. Is 51 a factor of j(6)? True Let s = 17 + -5. Let q = s + 13. Let z = q + 20. Is z a multiple of 15? True Suppose -973 = -8*r - 261. Suppose -4*j - 1 = -r. Is j a multiple of 3? False Is 2/(((-6)/(-8))/(23 + 34)) a multiple of 24? False Let i = 509 - 215. Suppose 0*y + 574 = 4*y - q, 0 = 2*y + 3*q - i. Does 25 divide y? False Let m = 109 - 107. Suppose -4*h + 666 = -m*h. Is 14 a factor of h? False Suppose -58*g + 4560 = -43*g. Is 13 a factor of g? False Suppose -840 = 4*i - 14*i. Suppose 4*f - i = -2*f. Does 2 divide f? True Suppose -v + 6*v - 30 = 0. Suppose -v*o + 315 = -57. Is o a multiple of 14? False Let c(a) = 7*a**2 - 92*a - 11. Is 64 a factor of c(-15)? True Suppose -24*l - 745 = -29*l. Suppose -l*n + 145*n + 580 = 0. Is 5 a factor of n? True Let c(s) be the third derivative of -s**4/24 - s**3/6 - 5*s**2. Suppose -2*f - 6 = 14. Does 9 divide c(f)? True Let w(b) = -b**2 - 19*b - 8. Is w(-18) a multiple of 5? True Let x(t) = -9*t**3 - 8*t**2 + 12*t - 37. Does 117 divide x(-7)? True Let h = 9 + -5. Suppose 0 = -p - h*g + 19, -6 = -3*p + g - 1. Suppose p*k + 3*r - 99 = 0, 101 = 3*k + 5*r - 4*r. Is k a multiple of 11? False Let p = -34 + 38. Suppose 0 = p*d + 4*m, -d - 4*m = 4*d - 4. Is d a multiple of 2? True Is (-111)/((72/(-66) + 1)*1) a multiple of 11? True Let i(l) = -l**2 - 5*l - 12. Let w be i(-8). Is 11 a factor of (w/14)/(4/(-308))? True Is 75 a factor of ((-456)/190)/(1/(-125))? True Suppose -j + 5*r + 6 = -16, -3*r = -2*j + 16. Suppose 5*z - 88 = -j*n, 4*z + 131 = 3*n - 47. Is n a multiple of 11? False Let g = -70 - -46. Let p = 56 - g. Is p a multiple of 15? False Suppose 38*h - 36*h - 5372 = 0. Is 17 a factor of h? True Suppose 2*k = -2*b - k - 3, -4*b - k - 1 = 0. Suppose m + 0*r = 5*r + 10, b = 5*r - 15. Is 11 a factor of m? False Let c = -16 - -30. Suppose -25 = -3*q + c. Let k = q - 2. Is 11 a factor of k? True Let y(p) = -6 + 1 + 10*p**2 - 8*p + 8. Is y(3) a multiple of 23? True Suppose -6*u = -167 - 259. Is 71 a factor of u? True Suppose -6*f + 2343 = -1287. Does 11 divide f? True Suppose -22*n + n = -19992. Is n a multiple of 8? True Suppose 10 = 4*j - 6. Suppose -9*s + 600 = -j*s. Suppose -2*n + s - 18 = 5*d, 3*d - 6 = 0. Is 23 a factor of n? True Suppose 6916 = 46*s - 39*s. Is s a multiple of 34? False Suppose 280 + 50 = 5*m. Let w = m + -21. Is w a multiple of 7? False Let b be (13 - 8)*(-96)/10. Let l = b + 24. Is (l/18)/(6/(-189)) a multiple of 14? True Suppose 5*n = 8*n. Let x = -3 - -5. Suppose n = -x*a + a + 9. Does 4 divide a? False Suppose -3*q = q - 32. Let j = q + -4. Suppose 6*a - 2*a - 4*u - 52 = 0, -j*u + 8 = 0. Is 15 a factor of a? True Let a(x) = -4*x**3 - 4*x**2 - 5*x - 2. Let h be a(-3). Let q = h - 6. Does 11 divide q? False Let i(o) = o**3 - 3*o**2 - 8*o + 4. Let b(g) = g**2 - 1. Let f(c) = -4*b(c) - i(c). Suppose 0*d - 5 = d. Is f(d) a multiple of 12? True Is 50 a factor of (165/9 + -3)*210/20? False Let l be ((-972)/30)/(-9) - 9/15. Let x(q) = 4*q**2 - 5*q + 7. Let t be x(5). Suppose t - 7 = l*s. Is s a multiple of 17? False Suppose -v - 1 = -5. Suppose -941 = -v*c + 719. Suppose -4*l + c = l. Is 21 a factor of l? False Let k = 64 - 4. Suppose -x - 4*x = -k. Is 4 a factor of x? True Let o be 1/3 + 70/15. Suppose 4*f = o*f - 38. Is f a multiple of 19? True Suppose -4*x = -49 + 9. Suppose x*m = 5*m + 105. Is m a multiple of 7? True Suppose 116*h - 121*h + 120 = 0. Let y = -17 - -5. Let z = h + y. Is z a multiple of 12? True Suppose y - 13 = -6. Suppose 8*i - y*i = 69. Is i a multiple of 13? False Let k = -537 - -861. Is k a multiple of 27? True Let l(m) be the second derivative of -2*m**3 - 29*m**2/2 + 35*m. Is l(-15) a multiple of 42? False Let d be 310 + (-1)/((-1)/4). Suppose 2*k + 5*h - d = 0, -2*h = -4*k + 2*k + 300. Is k a multiple of 31? False Let y(j) = j**2 + 34*j + 49. Let r be y(-26). Is (1 + (4 - 7))/(6/r) a multiple of 29? False Let u = 47 + -19. Suppose -i - 5*m = -u, 0*m = -5*i - 2*m + 25.
{ "pile_set_name": "DM Mathematics" }
)*-5)**2*4. 300 Simplify (sqrt(60)/(sqrt(120)/(sqrt(10) - (sqrt(40)/sqrt(4) - sqrt(10)))))**2. 5 Simplify -2 + (sqrt(11) + -2)*-3. -3*sqrt(11) + 4 Simplify sqrt(17)*-1 + 5 - (sqrt(68) + sqrt(17) - sqrt(17))*-4. 5 + 7*sqrt(17) Simplify (((sqrt(156) + (sqrt(156) - -1*sqrt(156)))*-3 - sqrt(156) - sqrt(156)) + sqrt(156) + sqrt(156))/(6*sqrt(24)/sqrt(2)). -3*sqrt(13)/2 Simplify (sqrt(2) + (-1*sqrt(2)*-2)**2)*3. 3*sqrt(2) + 24 Simplify -6*sqrt(448)*1. -48*sqrt(7) Simplify ((sqrt(130) + 6*(sqrt(130) + sqrt(130)*-5))/sqrt(10))**2. 6877 Simplify -1*(sqrt(204)*-4)/sqrt(12)*3. 12*sqrt(17) Simplify sqrt(88)/(6*-1*sqrt(8)). -sqrt(11)/6 Simplify sqrt(49)/(sqrt(7) - sqrt(700)*1). -sqrt(7)/9 Simplify 2 + (sqrt(35)/sqrt(5)*1 - (sqrt(1008) + 2)). -11*sqrt(7) Simplify (sqrt(117) - (sqrt(117)*2 - sqrt(117))*5 - sqrt(117))/(sqrt(81)*-1) + -1. -1 + 5*sqrt(13)/3 Simplify sqrt(192) - (sqrt(12) + 0 - sqrt(12)). 8*sqrt(3) Simplify (sqrt(91) - (1*sqrt(91) - sqrt(91))*-6)/(sqrt(175) - -2*sqrt(175) - sqrt(175)). sqrt(13)/10 Simplify (-1*sqrt(1800) - sqrt(1800))/(sqrt(42)/sqrt(63)). -60*sqrt(3) Simplify sqrt(2299) - (-3 + (sqrt(2299)*1)**2). -2296 + 11*sqrt(19) Simplify ((-5*(sqrt(170) + 1*sqrt(170)) + sqrt(170) + sqrt(170))/(sqrt(50)/sqrt(5)*6 - sqrt(10)))**2. 1088/25 Simplify ((sqrt(294)*-2 + sqrt(294) + sqrt(294))/(sqrt(48)/sqrt(6)))**2. 0 Simplify (4 + sqrt(1584) + -1)**2. 72*sqrt(11) + 1593 Simplify (sqrt(1300) - ((sqrt(1300) + -2)*-2 - sqrt(1300)))**2. -320*sqrt(13) + 20816 Simplify (6*(-1 + sqrt(117) - sqrt(117) - sqrt(117)))**2 + 0. 216*sqrt(13) + 4248 Simplify (sqrt(136)/(sqrt(8) - sqrt(512)*-1))**2. 17/81 Simplify (((sqrt(252) - sqrt(7)) + 4)*-2)**2. 160*sqrt(7) + 764 Simplify (sqrt(35) + (sqrt(875) + sqrt(35))*5)/((-3*sqrt(15)/sqrt(3) - sqrt(5)) + sqrt(5)). -31*sqrt(7)/3 Simplify (2*sqrt(245) + 1 - (4 + (sqrt(245) - (-2 + sqrt(245)))))**2. -140*sqrt(5) + 1005 Simplify ((sqrt(432) - sqrt(432)*-1)**2 - sqrt(3)) + sqrt(120)/sqrt(10). sqrt(3) + 1728 Simplify (sqrt(2) - (sqrt(50)*2 + sqrt(50)))*6. -84*sqrt(2) Simplify ((sqrt(34)/(sqrt(8)/sqrt(4)))**2 - sqrt(17) - sqrt(17)) + sqrt(17) + 3. -sqrt(17) + 20 Simplify sqrt(2736)*1 + 1 + sqrt(1900). 1 + 22*sqrt(19) Simplify (sqrt(2) + (sqrt(2) - sqrt(8)*-4))**2 + (sqrt(12)/sqrt(2))/sqrt(3). sqrt(2) + 200 Simplify (sqrt(45)/(sqrt(36)/sqrt(4))*-1)**2. 5 Simplify sqrt(567) + -4 + sqrt(567) + -5. -9 + 18*sqrt(7) Simplify 2*(sqrt(11) + sqrt(33)/sqrt(3)) + 1. 1 + 4*sqrt(11) Simplify ((-2 + sqrt(700))*-4)**2. -640*sqrt(7) + 11264 Simplify ((sqrt(140) + 2*sqrt(140))/sqrt(10))/(sqrt(24)/sqrt(108)). 9*sqrt(7) Simplify (3 + 0 + sqrt(242))*-2. -22*sqrt(2) - 6 Simplify ((sqrt(204) - (sqrt(204) + sqrt(204)*1))*-3)/(2*1*sqrt(12)). 3*sqrt(17)/2 Simplify -2 + sqrt(60)/(sqrt(12) + sqrt(108) + sqrt(12)) + sqrt(5). -2 + 6*sqrt(5)/5 Simplify (-3 + sqrt(7) + sqrt(7) + (sqrt(7) - -4*sqrt(7)*-1))*-4. 4*sqrt(7) + 12 Simplify -1*sqrt(24)/(-2*sqrt(588)). sqrt(2)/14 Simplify sqrt(63)*2 + 3 + (1 + sqrt(7))**2. 11 + 8*sqrt(7) Simplify sqrt(171) + 1 + 5 - 2*(sqrt(76) + -1). -sqrt(19) + 8 Simplify (0 + -4 + sqrt(2))**2 - (-2*sqrt(18))/sqrt(9). -6*sqrt(2) + 18 Simplify -5 + (sqrt(128)/sqrt(4) - sqrt(32))**2 + 4. -1 Simplify ((sqrt(13) - sqrt(117)/(sqrt(9) + sqrt(27)/sqrt(3))) + 4*sqrt(1872))**2. 122317/4 Simplify (2 + sqrt(45))**2*6. 72*sqrt(5) + 294 Simplify -5*(sqrt(2299)*-1 + 3)**2. -11540 + 330*sqrt(19) Simplify ((sqrt(891) - (0 + sqrt(891))) + -3)**2 - -4*(sqrt(891) + -1). 5 + 36*sqrt(11) Simplify 1 + (3*(sqrt(204)*3 - sqrt(204)) + sqrt(204) - sqrt(204))/sqrt(12). 1 + 6*sqrt(17) Simplify ((sqrt(117) + sqrt(117) + -3 - sqrt(117)) + sqrt(117))**2 + (sqrt(1300) + 5)**2. 64*sqrt(13) + 1802 Simplify -2*(sqrt(1100) + (sqrt(1100) + 2 - sqrt(1100) - sqrt(1100)))*-2. 8 Simplify sqrt(15)/((sqrt(180)/sqrt(6))/sqrt(10)). sqrt(5) Simplify 4 + (sqrt(13) + (sqrt(13) + (sqrt(52) + 4 - sqrt(13)) + sqrt(13))**2 - sqrt(52)*4). 17*sqrt(13) + 137 Simplify (sqrt(112) + (-1*sqrt(112) + sqrt(112))*2 - (sqrt(112) + 1 + 3))**2. 16 Simplify ((sqrt(220)/sqrt(5) - sqrt(44))*-2)/sqrt(4) + 5. 5 Simplify 1*(sqrt(171) + sqrt(19))*5 + 0. 20*sqrt(19) Simplify ((-1*sqrt(360) - sqrt(360))/sqrt(9) + sqrt(40))/(1*sqrt(128)). -sqrt(5)/4 Simplify (sqrt(14)/((-1*sqrt(847) - sqrt(847)) + sqrt(7)))**2. 2/441 Simplify ((-3*-2*sqrt(187) - sqrt(187))/(-1*sqrt(22)/sqrt(2)))**2. 425 Simplify (-2*sqrt(30)/(sqrt(60)/(sqrt(100)/sqrt(10))))**2. 20 Simplify (sqrt(320)/sqrt(4))**2 + (sqrt(5) + sqrt(5) + 5*sqrt(10)/sqrt(2))**2. 325 Simplify ((sqrt(24) - sqrt(864) - sqrt(24))/sqrt(12) - (sqrt(2) + (sqrt(2) - 6*sqrt(98))))**2. 2312 Simplify 3*((sqrt(36) - sqrt(324))/sqrt(12) - sqrt(3))*-4. 36*sqrt(3) Simplify (2 + sqrt(1900) + sqrt(1900) + -3 + sqrt(1900))**2. -60*sqrt(19) + 17101 Simplify ((sqrt(33) - sqrt(297)/sqrt(9))*-6)/sqrt(11). 0 Simplify (sqrt(448) + -4*sqrt(448))*-2. 48*sqrt(7) Simplify (2*sqrt(21)*2 + sqrt(21))/sqrt(3). 5*sqrt(7) Simplify ((sqrt(448) + sqrt(448) + 2)*4)**2 - sqrt(448). 1016*sqrt(7) + 28736 Simplify (sqrt(275) + sqrt(275)*-2)**2*6. 1650 Simplify (-2*sqrt(2) + 2)**2 + (sqrt(2) + sqrt(10)/(sqrt(5)*-2))**2. -8*sqrt(2) + 25/2 Simplify (1*(sqrt(2) + (sqrt(2) - (-1 + sqrt(2))) + -3))**2. -4*sqrt(2) + 6 Simplify (sqrt(18) + (sqrt(216)*-2 - sqrt(216))/sqrt(12))/(-2*sqrt(576) + sqrt(576) - sqrt(576)). sqrt(2)/8 Simplify sqrt(1125)*6. 90*sqrt(5) Simplify -2 + ((((sqrt(114) - (sqrt(114) + sqrt(114) + sqrt(114)*2 + sqrt(114) - sqrt(114))) + sqrt(114) - sqrt(114)) + sqrt(114))*6)/sqrt(6). -12*sqrt(19) - 2 Simplify 5 + 0 + sqrt(13) + (sqrt(325))**2 + -3. sqrt(13) + 327 Simplify ((sqrt(72)*-1)/sqrt(9))/(sqrt(4) + (sqrt(24) - sqrt(384))/sqrt(6)). sqrt(2)/2 Simplify (-2 + sqrt(684))**2 - (sqrt(57)/(sqrt(15)/sqrt(5)))**2. -24*sqrt(19) + 669 Simplify (sqrt(55)*-1*6)/(-3*sqrt(99)). 2*sqrt(5)/3 Simplify (-6*(2 + sqrt(13) - sqrt(13)) + 3*((sqrt(13) - sqrt(13)*-3) + sqrt(13)) + sqrt(13) + sqrt(13))**2. -408*sqrt(13) + 3901 Simplify -3*(sqrt(63) + -1). -9*sqrt(7) + 3 Simplify 5 + 1 + (sqrt(17) + -1)**2. -2*sqrt(17) + 24 Simplify ((sqrt(85) + 1*sqrt(85)*5)/sqrt(5))**2 + -5. 607 Simplify (sqrt(6)*-2*2)/(sqrt(12)/(sqrt(6) - sqrt(54))). 8*sqrt(3) Simplify (sqrt(78)/sqrt(162))/sqrt(3). sqrt(13)/9 Simplify -1 + sqrt(7) + 1 + -5. -5 + sqrt(7) Simplify (sqrt(128) + sqrt(128) + 1 + sqrt(128) + sqrt(128) + sqrt(128) + -1 + sqrt(128) + sqrt(128))**2 + 3. 6275 Simplify sqrt(3) - (sqrt(3) + 2)*-3 - ((0 + (sqrt(48))**2 - sqrt(3)) + sqrt(3)). -42 + 4*sqrt(3) Simplify 4 + (sqrt(20)*-1 - sqrt(20) - (sqrt(80)/sqrt(4))**2). -16 - 4*sqrt(5) Simplify (sqrt(204) - (sqrt(204) + -2*((sqrt(204)*-3 + sqrt(204) - sqrt(204)) + sqrt(204)) + sqrt(204)))/sqrt(12). -5*sqrt(17) Simplify (((sqrt(550) + sqrt(550)*1 + sqrt(550))/sqrt(10) - sqrt(55))/((sqrt(35)*1)/sqrt(7)))**2. 44 Simplify (sqrt(13) - (sqrt(325) + 0))**2 - (sqrt(208)*1 + sqrt(13)). -5*sqrt(13) + 208 Simplify (sqrt(8)*2 + -2 - sqrt(8))**2. -8*sqrt(2) + 12 Simplify 4*2*((sqrt(17) - -2*sqrt(17)*-4) + 2). -56*sqrt(17) + 16 Simplify ((sqrt(13) + sqrt(117) + 1 + sqrt(13))*-1)**2. 10*sqrt(13) + 326 Simplify (((sqrt(152) - -2*sqrt(152)) + sqrt(152) - sqrt(152))/sqrt(4))/(-1*sqrt(8)). -3*sqrt(19)/2 Simplify ((sqrt(539) - (-5 + sqrt(539)*2)) + (2*(sqrt(539) + (sqrt(539)*-1 - sqrt(539))))**2)*5. -35*sqrt(11) + 10805 Simplify ((sqrt(78) - (-2*sqrt(78) + sqrt(78)))*6)/(sqrt(36)/(sqrt(6) + 1*sqrt(6))). 24*sqrt(13) Simplify (sqrt(114)/sqrt(6) + -1 - 3*sqrt(304))**2. 22*sqrt(19) + 2300 Simplify sqrt(51)/sqrt(3) + -3 + ((1*sqrt(153))/sqrt(9))**2. sqrt(17) + 14 Simplify 1 + (sqrt(44)*-2)**2 + 2. 179 Simplify (sqrt(13)*3)**2 + -3 - (5 + -1*sqrt(13)). sqrt(13) + 109 Simplify sqrt(720) - (sqrt(720) - ((-1 + sqrt(720) + 4 - sqrt(720)) + sqrt(720))). 3 + 12*sqrt(5) Simplify (sqrt(200)*-2 - sqrt(2)*1*-2 - (0 + sqrt(2) + 0 + 0 + sqrt(128)))**2. 1458 Simplify 6*sqrt(72) + 5. 5 + 36*sqrt(2) Simplify -5*(sqrt(475) + -1) + 1*(0 + sqrt(475)) + 5. -20*sqrt(19) + 10 Simplify (2 + sqrt(500) + -1 + sqrt(500) + 3)**2. 160*sqrt(5) + 2016 Simplify 1 + (sqrt(57)/(6*sqrt(432)))**2. 5203/5184 Simplify (6*sqrt(1872)*-2 - sqrt(1872)) + -1. -156*sqrt(13) - 1 Simplify ((sqrt(1100) - sqrt(1100)*1)**2 + 3)*6. 18 Simplify 0 + -6*(sqrt(6)/sqrt(2) + 5 - sqrt(3)). -30 Simplify (((sqrt(450)*-2)/sqrt(10))/(3*sqrt(27)/sqrt
{ "pile_set_name": "DM Mathematics" }
2 - 2*x - 20. Let g(v) = -3*c(v) - 5*q(v). Is 5 a factor of g(5)? True Does 37 divide 3/(-1*3*(-1)/74)? True Suppose 5*a + 10 = 10*a. Suppose a*r = r + 114. Is 19 a factor of r? True Is (-3734)/(-18) - 32/72 a multiple of 9? True Let h(l) = -4*l**2 - 8*l + 6*l**2 + 8 - 3*l**2 + 2*l**2. Is 8 a factor of h(8)? True Does 67 divide (-16)/(-72) - 20246/(-18)? False Suppose 2*t + 3*i = 1297, -1 - 2 = 3*i. Is 12 a factor of t? False Let c(q) = -4*q**3 + 4*q**2 + 4*q - 17. Let b(u) = -2*u**3 + 2*u**2 + 2*u - 9. Let g(j) = 7*b(j) - 4*c(j). Is 30 a factor of g(3)? False Let j be (-2)/(((-4)/(-6))/((-8)/6)). Suppose -r = 4*i - 36, -2*i - r - j + 22 = 0. Is 9 a factor of i? True Suppose 5*q - 108 = 117. Suppose 162 - 8 = 14*l. Let v = q + l. Is v a multiple of 7? True Let k(i) = -12*i**3 - i**2 - 3*i + 1. Let f(d) = -35*d**3 - 3*d**2 - 8*d + 3. Let w(y) = 4*f(y) - 11*k(y). Is 13 a factor of w(-2)? False Let l(c) = -2*c. Let h be l(3). Let i(t) = 40*t**3 - 3*t**2 + 17*t - 30. Let x be i(2). Is x/h*1/(-4) a multiple of 13? True Let n be (-21)/(-14)*(1 + 1). Suppose -2*q - n*w + 23 = 0, 51 = 4*q - 4*w + 5*w. Is q a multiple of 5? False Let u(y) = 7*y - 13. Let i(z) = -6*z**2 - 3*z + 9. Let a(o) = -11*o**2 - 6*o + 18. Let l(c) = -4*a(c) + 7*i(c). Let j be l(-4). Does 11 divide u(j)? False Let v(x) = -x**3 + 2*x**2 + 3*x + 3. Let k be v(3). Let y(r) = 18*r + 3. Let f(j) = -8*j - 1. Let b(a) = -10*f(a) - 4*y(a). Does 6 divide b(k)? False Let k = -82 - -87. Suppose -k*h + 555 = -450. Is 20 a factor of h? False Does 13 divide (376/6)/((-8)/(-12))? False Suppose l = 3*c - 770, -c + l = -5*c + 1029. Is 19 a factor of c? False Suppose -6*a + 8670 = 4*g - 7*a, 5*g + a = 10833. Is 11 a factor of g? True Let p(z) = -13*z + 16*z + 0*z. Is p(10) a multiple of 11? False Let n be (-6)/(-4)*(-160)/(-15). Let q(z) = -3*z + 16*z**3 - n + 9*z**2 - 17*z**3 + 2*z. Does 20 divide q(8)? True Suppose -10*q - 2284 = -7544. Does 87 divide q? False Let n be ((-18)/5)/(2/(-5)). Suppose -n*y + 8 = -5*y. Suppose i = y, 0*u + 2*i = -3*u + 193. Does 21 divide u? True Suppose 5*h + 5*t = -1375, h + 4*h - 4*t = -1357. Does 33 divide h/14*(-26)/3? False Suppose 2*w + 23 = -3*l - 0*w, w = -l - 7. Is 6 a factor of (-153)/l - (0 - 1)? True Let a = 14 - 6. Suppose a*d - 560 = 4*d. Is 9 a factor of d? False Let o(z) = 2*z**2 + 3*z - 8. Let q be (-3 + 2)*7/((-35)/(-50)). Is 27 a factor of o(q)? True Suppose -h - 4 + 1 = r, 4*r + 3 = -h. Let t = r - -13. Does 13 divide t? True Let m = -733 - -1041. Is 4 a factor of m? True Let q(d) = 94*d**2 - 1. Let w be q(-1). Suppose 2*p - w = -p. Let b = p + -11. Is b a multiple of 6? False Let d(q) = q**2 + 14*q + 17. Let h be d(-13). Suppose -5*p - 78 = 4*f - 1413, 0 = -h*f + p + 1365. Suppose -2*w = 2*w - f. Does 16 divide w? False Suppose -4*b + 12 = 0, -5*z - 3*b + 1055 + 1329 = 0. Is z a multiple of 20? False Suppose 0 = 5*v + 10, 6*r - 4*r + 5*v = -18. Let p = 36 - r. Is p a multiple of 3? False Let l = 0 + -2. Suppose -10 = 2*g - 3*g - 3*s, 0 = 2*s + 4. Let x = g - l. Is 6 a factor of x? True Let i = -220 + 426. Is i a multiple of 3? False Let s = 298 + -268. Is 7 a factor of s? False Suppose -187 = -8*y + 37. Does 14 divide y? True Suppose 11*y = 3*u + 7*y - 40, 5*y = -20. Let c(w) = -w**3 + 11*w**2 - w + 26. Is 32 a factor of c(u)? False Suppose 3*w = 135 + 243. Suppose 11*h - w = -3*h. Does 2 divide h? False Let b = -46 + 51. Suppose -2*w - t = -237, -t + 594 = b*w + t. Is w a multiple of 40? True Is -2760*(1/(-5))/((-22)/(-44)) a multiple of 48? True Let c(j) = -j**3 + 5*j**2 + 3*j + 5. Let k be c(7). Let x = -47 - k. Does 14 divide x? False Let x = -5 + 79. Let y = x + -25. Is 2 a factor of y? False Let o(i) = 41*i**2 - 5*i. Suppose -5*w + 9 = 2*m, -2*m + w + 1 = -2. Is 14 a factor of o(m)? True Suppose 2*j - 3*n = 105, 2*j + 0*n = -3*n + 87. Suppose 4*g + j = 2*s, 2*s - 3*g = -0*g + 45. Does 9 divide s? True Suppose 0 = 6*q - 24*q + 3456. Is 13 a factor of q? False Let t(l) = 2*l**2 + 4*l - 90. Is t(-10) a multiple of 46? False Suppose -4*c + 938 + 462 = 0. Does 10 divide c? True Suppose 25 = 5*k, 63 = -2*z + 4*k + 765. Is z a multiple of 16? False Let y = 5 + -3. Suppose 0 = -3*m + y*c + 82, -m - c = -11 - 8. Is m a multiple of 12? True Suppose 6*h - 430 - 272 = 0. Is h a multiple of 51? False Suppose 3*r = -2*m - 0*m + 93, -227 = -5*m - 2*r. Suppose 0 = -4*z + 5*q + m, -2*z - 2*z = -3*q - 35. Let a = z - -22. Is a a multiple of 9? True Let o be (4 - (-271 - -2)) + 1. Suppose -6*z + 296 = -o. Is 19 a factor of z? True Is 31 a factor of (-2)/(-8)*(-32 - -3100)? False Suppose 0*l + 3 = -l - c, -3*c = -4*l + 23. Suppose 4*r = l*k + 2, 1 = -5*r + k + 5. Suppose -3*y + 8 = 5*d - r, -y + 4*d = -20. Is 4 a factor of y? True Let x = -104 + -137. Let f = 342 + x. Is 11 a factor of f? False Let s be (-3)/(4/(8/(-3))). Suppose s = -l - 0. Let d(b) = 7*b**2 + 2. Is d(l) a multiple of 15? True Let b = -187 - -272. Does 35 divide b? False Let a = 1602 - 358. Does 23 divide a/18 - 5/45? True Suppose -26*z + 28860 = -0*z. Is 14 a factor of z? False Suppose 3*c + j = -19, -4*c + 5*j - 38 = -0*j. Let q = c - -11. Suppose 50 = q*i + n + 10, 3*i - 7 = 5*n. Is i a multiple of 9? True Let p(l) = 3*l**2 + 37*l - 68. Is p(15) a multiple of 17? False Suppose 45 = -n - k + 135, -3*n + 3*k = -288. Is 7 a factor of (-2)/(n/(-87) - -1)? False Let n(j) = -4*j - 4. Let z be n(-2). Suppose 2*f + 2*s - 52 = 0, 4*f - 49 - 47 = z*s. Does 3 divide f? False Is 4 a factor of (-4)/12*43281/(-21)? False Suppose 90*t + 27456 = 106*t. Does 22 divide t? True Let z = -2406 + 3954. Does 36 divide z? True Let g(k) be the first derivative of 2*k**3/3 + 3*k - 3. Suppose -2*w + i = 3*i - 6, 0 = -4*w + 3*i + 33. Is g(w) a multiple of 25? True Suppose 5*u = 92 + 118. Suppose 0*w + 5*x - 87 = -4*w, 0 = -2*w - 2*x + u. Is w a multiple of 2? True Does 61 divide -2 + (-14)/(70/(-5805))? True Let c = -94 + 250. Suppose -5*n - c = 4*v, -3*n = -v + 61 + 36. Let u = n + 41. Does 3 divide u? True Let v = 12 - 9. Suppose 2*x + 11 + 8 = 3*l, v*x = -4*l + 48. Does 2 divide l? False Let p(s) = -2*s**3 + 3*s. Is p(-3) a multiple of 16? False Let y = 567 - 369. Suppose -y = -3*j + 3*h, -2*j = -0*h - h - 134. Does 17 divide j? True Let u = 2 - 4. Let j = u - 2. Let x(w) = -w**3 - 3*w**2 + 4*w + 4. Does 2 divide x(j)? True Let v(r) = 150*r**3 + 5*r - 5. Is 5 a factor of v(1)? True Let a be ((-168)/20)/((-3)/(-10)). Let o = a - -49. Does 3 divide o? True Let k = 446 + -314. Is k a multiple of 3? True Let k(w) = -w**2 - w. Let q(p) = 3*p**2 - 7*p + 2. Suppose -5*f = -0*f + 3*j + 17, -2 = -2*j. Let x(v) = f*k(v) - q(v). Is 12 a factor of x(-13)? True Let n be (-30)/(-16) + (-3)/(-24). Suppose -4*o + 18 = -n*o. Let d = o - -25. Is d a multiple of 17? True Does 113 divide ((-4)/4)/(-1 - 8128/(-8136))? True Suppose i = -0*i + 31. Let b be (12/(-54) - 0) + 202/18. Let j = i - b. Does 10 divide j? True Let g = 22 - 21. Suppose -493 = -5*q - 3*h, 5*h + 322 = 3*q - g. Does 30 divide q? False Let m = 1493 + 350. Is 97 a factor of m? True Suppose 0 = 2*s - 2 + 10, -s + 14 = h. Suppose 2*b = h - 2. Is 5 a factor of b? False Suppose 4*m = 12, -4*p - 3 = -p - 3*m. Suppose 7*c - p*c - 190 = 0. Does 10 divide c? False Suppose -12*u - 1635 - 2361 = 0. Let p = u + 694. Is 53 a factor of p? False Suppose -3*s + 4*j = -1802, 2*j + 5 + 5 = 0. Does 22 divide s? True Suppose 4*t + z - 937 = 0, 489 = 2*t + 2*z + 19. Is 39 a factor of t? True Let u(w) = w + 37. Is u(27) a multiple of 4? True Suppose 5*k + 232 = 3*h, 492 = 5*h + k + 124. Suppose -3*m + 6*m - h = 2*r, -94 = -3*m - 2*r. Suppose 0 = f - 0*u - 3*u - m, 0 = u. Is 14 a factor of f? True Let p = 113 + -113. Suppose 4*z - 109 - 107 = p. Does 18 divide z? True Suppose -52 = 4*q + 4*m, -q = -6*q + m - 59. Let r be (-273)/q + (-21)/28. Suppose -n + 2*n - r = 0. Is 11 a factor of n? True Suppose 8 = -2*v + 18. Is 6 a factor of (-3)/((-3)/53) - v? True Let i(p) = 742*p - 7. Is i(1) a multiple of 21? True Let k = -51 - 145. Let f be (-2)/(-9) + k/(-9). Is (-6 - -4)/((-4)/f) a multiple of 7? False Let q(h) = h**3 + 0 + 8 - 5*h + 5*h**2 + 0*h**2. Let t be q(-6). Is 45/t - (-5)/(-10) a multiple of 19? False Suppose 1024 = 3*n - 1082. Does 6 divide n? True Let z = 450 + -241. Is z a mul
{ "pile_set_name": "DM Mathematics" }
j - 7, a = -4*f + 3*j + 13. Calculate the remainder when 18 is divided by f. 2 Let h(n) be the first derivative of n**4/4 - 8*n**3/3 + 4*n**2 - 8*n + 20. Let r be h(7). Let f = 14 - r. What is the remainder when 72 is divided by f? 12 Let z(f) = 5*f**2 - 678*f - 254. Suppose 0*h - 2191 = -4*h - 5*y, -5*h + 2760 = 2*y. Calculate the remainder when h is divided by z(136). 14 Calculate the remainder when ((-64)/(-180) - (-4)/120*-4)*2259 is divided by 14. 12 Let v(f) = f + 3 + 0 - 5*f. Let c(h) = -h**3 - 48*h**2 + 2*h + 92. Let y be c(-48). What is the remainder when v(y) is divided by 11? 8 Suppose 1745 - 5077 = -17*w. Let t = w - 133. What is the remainder when t is divided by 11? 8 Suppose 4*s - 117 + 29 = 0. Let o = -610 - -719. Calculate the remainder when o is divided by s. 21 Suppose -983 = -2*s - 3*b, -5*s + 49*b - 48*b + 2432 = 0. What is the remainder when s is divided by 92? 27 Suppose -5*u = 3*f - 1303, -13*u - 21 = -10*u. What is the remainder when f is divided by 197? 52 Suppose 0 = 39*a - 114*a + 1601 - 626. Let v = 170 - 95. Calculate the remainder when v is divided by a. 10 Suppose 0 = -125*p + 176*p - 7497. Calculate the remainder when 1174 is divided by p. 145 Suppose -123*q - 25944 = -147*q. Calculate the remainder when q is divided by 277. 250 Let m = -66 + 306. Suppose -5*r = -r - m. What is the remainder when 299 is divided by r? 59 What is the remainder when 599 is divided by (-33)/(4488/(-119))*48/2? 11 Suppose -37*w - 3*d = -39*w + 1275, 0 = 3*w + 4*d - 1972. What is the remainder when w is divided by 65? 63 Let q(b) = -b + 195. Let p be q(30). Let f = p - 87. What is the remainder when f is divided by 3? 0 Let i = -4690 - -4713. What is the remainder when 1838 is divided by i? 21 Let h(d) = -d**2 + 9. Let m be h(2). Suppose -58 = -m*z + 32. Calculate the remainder when 50 is divided by z. 14 Let u(a) = -2*a**3 - 8*a**2 - 52*a - 320. What is the remainder when u(-6) is divided by 46? 44 Let r = -450 + 505. Let c = 2 + r. What is the remainder when 340 is divided by c? 55 Let m = -403 + 128. Let d = 331 + m. What is the remainder when d is divided by 41? 15 Let a(t) = -6*t**2 - 18*t + 47. Let k be a(-10). Let p = k - -399. Calculate the remainder when 285 is divided by p. 25 Let x(t) = t**3 + 2*t**2 + 2. Suppose 37*j = 33*j - 44, -4*z - 2*j + 690 = 0. What is the remainder when z is divided by x(3)? 37 Let v = 944 - 897. Calculate the remainder when 1499 is divided by v. 42 Suppose 14*d = -10*d + 20*d + 328. Calculate the remainder when 94 is divided by d. 12 Suppose o = 9*v - 14*v - 12, -v = -4*o + 57. Suppose o*r = 15*r - 10. What is the remainder when r is divided by 3? 2 Let l be (6104/(-16))/((-6)/24). What is the remainder when l/4 + (-9)/(-2) + -3 is divided by 43? 39 Suppose -350*u + 395*u - 5220 = 0. What is the remainder when 809 is divided by u? 113 Let c be 146/511 - (2 + 248/(-14)). Suppose -c = 103*g - 105*g. What is the remainder when 71 is divided by g? 7 Let t(x) = 117*x - 84. Let l be t(3). Suppose l = 7*u - 790. Calculate the remainder when u is divided by 38. 37 Suppose 4*l + 2*c - 770 = 3*c, -3*l + 5*c = -586. Suppose 5*x - 270 = -20. Calculate the remainder when l is divided by x. 42 Let o = 12 - -10. Suppose -122*x = -120*x - 2996. Suppose x = c + 13*c. Calculate the remainder when c is divided by o. 19 Let s = 378 - 151. Let f = s + 16. What is the remainder when f is divided by 31? 26 Let s(l) = 3*l - 4. Suppose 4*t + 4*r = 6*t - 548, 810 = 3*t - 2*r. Suppose -19*y - 97 = -t. Calculate the remainder when y is divided by s(3). 4 Suppose -605 = 3*l - 911. Calculate the remainder when l is divided by 13. 11 Let a(z) = 49*z + 108. Let v be a(-6). What is the remainder when 4*v/(-24) + 3 + -5 is divided by 1? 0 Calculate the remainder when 621 is divided by 1086/(14 + -8) + -13. 117 Let y = -149 + 145. Let m(b) = -b + 32. Calculate the remainder when m(y) is divided by 13. 10 Suppose -y + 4*y = 3*f + 1152, -3*y + f + 1154 = 0. Let s = 388 - y. Calculate the remainder when 18 is divided by s. 0 Let l(b) = -5*b + 3. Let i(z) = 2*z + 19. Let v be ((180/42)/(1/7))/2. What is the remainder when i(v) is divided by l(-2)? 10 Let g = 3687 + -3309. Calculate the remainder when g is divided by 64. 58 Let d = 3931 - 3843. What is the remainder when 3342 is divided by d? 86 Let h be (0 - (-12)/14)/((-5)/(-35)). Suppose 2*b - 10 = h. What is the remainder when 64 is divided by b? 0 Let t = 14 + -22. Suppose 2*n = -4*v + n + 44, -n = 4. What is the remainder when ((-2)/1 - -4)*(-116)/t is divided by v? 5 Suppose s = -3*l - 1, 5*s + 2*l + 10 = 31. Let d = 21 + -12. Suppose -d = -y + 2. Calculate the remainder when y is divided by s. 1 Suppose 0 = 1200*h - 1184*h - 176. Calculate the remainder when 713 is divided by h. 9 Let u(d) = -53*d**2 + 294*d - 47. Suppose -37 = 2*q - 137. What is the remainder when u(5) is divided by q? 48 Let v = -274 - -59. Let j = -174 - v. What is the remainder when 78 is divided by j? 37 Let q = -24825 - -26966. Calculate the remainder when q is divided by 43. 34 Suppose 0 = -4*q + 94*q - 223200. Calculate the remainder when q is divided by 11. 5 Suppose -4*f - 5*h = -878, -4*h + 0*h + 8 = 0. What is the remainder when f is divided by (37/148 - (-4)/(16/147)) + 7? 41 Let a be (6*10/(-60))/(1/(-31)). Suppose 0*q + 2*q - 12 = -h, -2*h = -3*q - a. Suppose -13 - 79 = -4*z. Calculate the remainder when z is divided by h. 9 Let b = 15 + 15. Let f(v) = -2*v**2 - 277*v + 4356. Calculate the remainder when f(14) is divided by b. 26 Suppose 9*d - 4*d - 128 = -4*m, -2*d - 160 = -5*m. Let w(s) = 2*s**2 - 21*s + 9. Calculate the remainder when w(14) is divided by (24/m)/(1/48). 35 Suppose -4*f + 4670 + 9938 = 0. What is the remainder when f is divided by 126? 124 Suppose 2*n - t - 83 = 0, 14*t = n + 18*t + 8. Let m(o) = -103*o**3 - o. What is the remainder when m(-1) is divided by n? 32 Let z = 1201 + -1124. What is the remainder when 689 is divided by z? 73 Let x(d) = -d**3 + d**2 - d + 9. Suppose 2*a = 2*y - 42, -379*y + 14 = -380*y - 4*a. What is the remainder when y is divided by x(0)? 5 Calculate the remainder when 937 is divided by (2 + -5 + -2)*-3 - (2 - 1). 13 Let o be 5 + 363/77 - 2/(-7). Let t(p) = -5*p**3 + 49*p**2 + 11*p + 10. What is the remainder when 339 is divided by t(o)? 19 Let k = 540 + -347. Calculate the remainder when k is divided by ((-14)/(-39))/(129/1677)*42/4. 46 Suppose 3*l = -3*g + 126, 43 = -4*l + 4*g + 243. Calculate the remainder when l is divided by 4. 2 Suppose -10 = -2*b, 5*r - 5*b = -b + 1015. Let j(u) = -25*u**3 + 2*u**2 - 1. What is the remainder when r is divided by j(-1)? 25 Let l(b) = 19*b + 990. Suppose 2*a - 559 = a. Calculate the remainder when a is divided by l(-50). 39 Let l(p) = -p + 3. Let q be l(0). Suppose -q*m - 30 = -96. Let d = -89635 + 89639. Calculate the remainder when m is divided by d. 2 Let l(c) = 2*c**3 - 3*c**2 - c - 4. Calculate the remainder when 36/(-8)*(-9424)/558 is divided by l(3). 16 Suppose -p = 4*d - 3, -2 - 6 = 5*p - 3*d. What is the remainder when (-106 - p)/(6/(-4)) is divided by 24? 22 Suppose 1270 + 11962 = 233*r - 19854. Let o = -13 + 22. Calculate the remainder when r is divided by o. 7 Suppose 0 = 5*j - 126*u + 127*u - 9438, 2*j = -4*u + 3786. Calculate the remainder when j is divided by 171. 6 Suppose -n = 2*u - 994 + 1003, 5*u = 2*n - 36. What is the remainder when 641 is divided by n? 2 Suppose 0 = -3*i - i + 176. Let g = 412666 + -412475. What is the remainder when g is divided by i? 15 Suppose 57*a + 78*a - 72732 = 21*a. What is the remainder when a is divided by 76? 30 Let h = 498 + -505. Calculate the remainder when 678 is divided by h - (-11 - (10 - 6)). 6 Let c = 2240 + -927. Calculate the remainder when c is divided by 73. 72 Suppose -13*o + 469 = 92. What is the remainder when 4 + 1*106 + -12 + 12 is divided by o? 23 Suppose x = 5*r + 826, 0 = 3*r - 7*r + 2*x - 662. Let c be r/(-25) + -7 + 3204/10. Suppose -10*b = -0*b - c. Calculate the remainder when b is divided by 11. 10 Let k(z) = -z**2 - 65*z - 570. Calculate the remainder when 292 is divided by k(-11). 4 Let z = -39832 + 39843. Calculate the remainder when 6464 is divided by z. 7 Suppose 4*z - 613 = c, 1 + 4 = -c. Let l = 137 - 232. Let t = l + z. What
{ "pile_set_name": "DM Mathematics" }
1/2))/h*h)**(10/7) assuming h is positive. h**(-31/63) Simplify ((h**(-1/5))**(-4/15)/((h*h**(-13/3))/(h*h*h**(-9))))**(-37) assuming h is positive. h**(10027/75) Simplify h**(3/7)/(h*h*h**7)*(h**(-1/2)/h)**(-45)*((h/(h/h**(-2/5)))/h**(-7))/(h**2/((h**(3/8)*h)/h)) assuming h is positive. h**(17893/280) Simplify ((i**(-1/3))**(-48))**(-29)*((i/i**(9/4))/i**0)**15 assuming i is positive. i**(-1931/4) Simplify ((k/k**(-1)*k)**(-35))**(-2)/(k*(k*k**(1/4))/k*k*k*k*k**(1/5)/k)**(4/31) assuming k is positive. k**(32481/155) Simplify ((t/(t/(t**(2/7)*t)))/(t/((t**(2/25)/t)/t)*t*t))**(-36)/((t/t**5*t*t)/(t/t**(2/17))*(t**(-1/4)*t)**(-45)) assuming t is positive. t**(1992853/11900) Simplify (q**0/q)**16/(q**(-2/3))**(-4/17)*(q**(-6)/(q*q/q**(3/7)))/((q**(-1/4)/q)/(q*q*q/(((q*q**(-3/4)/q)/q)/q)*q)) assuming q is positive. q**(-5615/357) Simplify (o**5/(o*o*o/o**4))**(2/27)*o**(-3)*o**(-3/4)*(o/(o**1*o)*o)**39 assuming o is positive. o**(-119/36) Simplify (p**(-2)/((p/(p/p**(2/7)*p))/p))**(4/25)/((p*p**(-1/2)/p)**(-1/27)/(p**(1/3))**(2/29)) assuming p is positive. p**(-11303/274050) Simplify (((m**(-2/5)*m)/m*m)**(-1/2)*(m*m**5)/m**(-1/4))/((m/((m/(m**(-5)*m*m)*m)/m)*m*m**(-2/11))/(m**1)**(-43)) assuming m is positive. m**(-7671/220) Simplify ((w**(-2/5)*(w**(5/6)*w)/w)**(27/2))**(-42) assuming w is positive. w**(-2457/10) Simplify ((w*w/(w/w**4))/(w/(w**(-1)/w))*w*w**(-2/5)*w*w*w/w**(-1/5))/((w*w/w**4*w**(-2)*w)/(w**5/(w**(-2)*w*w))) assuming w is positive. w**(69/5) Simplify (((w/w**(-1/6))/(w*w**(-13)/w))/(w*w**(2/9))**24)**(3/8) assuming w is positive. w**(-91/16) Simplify ((n*n**(1/3)/n)**(-8/11)/(n**20*n**(-10)))**(-5/8) assuming n is positive. n**(845/132) Simplify ((j**(2/5)/j**(-4))/(j*j**(-2/17)*j*(j**5/j)/j))/((j**(-1)/j)/(j/(j**(1/8)*j))*(j/j**(2/7))**30) assuming j is positive. j**(-95371/4760) Simplify (((t/(t*t*t**2))/t)**(4/11))**(-15/4)*(t**(2/3))**(23/2)/((t*t**5)/(t*t/t**(5/6))) assuming t is positive. t**(547/66) Simplify (((y**(2/5)*y)**9*(y/((y**6/y)/y))/(y/(((y*y/(y/(y*y/y**(-3/4))))/y)/y)))**(-41))**16 assuming y is positive. y**(-33948/5) Simplify ((((w/w**(-7))/(w/(w/w**(1/14))))**38)**(-43))**(-39) assuming w is positive. w**(3536793/7) Simplify ((f**(2/17)/f)**0/(f*(f*f**(-6)*f*f)/f*f*f)**(1/5))**48 assuming f is positive. f**(48/5) Simplify ((l**0)**29*l*l/((l*l**(-2/3))/l)*l*l*l**(1/5))/((l**(-2/3))**(-9))**(-6/7) assuming l is positive. l**(1051/105) Simplify ((w*w**(2/5))/w*w**(-1/3))/((w/((w/w**6)/w))/(((w*w**1)/w*w)/w))*(w**(2/9)/w*w/(w*(w/w**0)/w*w*w))**(-3/5) assuming w is positive. w**(-64/15) Simplify (w*w*w**(-2/25)*w*w*w*w/((w*w**(-1/8))/w)*w/(w*w/((w/(w/(w/(w*w**(-2/13)*w))))/w*w))*w/(w/(w**(-4)/w)))**(-12/7) assuming w is positive. w**(6249/4550) Simplify (o**(-2/27)*o/(o**(-2/3)*o*o*o))**(-47)*(o/((o/((o**(-4/9)*o)/o))/o*o)*o**2)/(o**(3/5)/o*o**(-5)/o) assuming o is positive. o**(10004/135) Simplify ((s**(1/37)*s**24)**3)**1 assuming s is positive. s**(2667/37) Simplify ((w**(2/5)*w)**(-1/6))**25/((w**3)**(2/77))**49 assuming w is positive. w**(-637/66) Simplify ((r**(-1/2)*r/(r*r**(3/8)))/((r/r**(-1))/r**(1/2)))/((r*r**(2/7)/r)/r**(-5/3)*r*r**(-1)*r**(5/4)) assuming r is positive. r**(-937/168) Simplify ((((t/(t/(t/(t**1/t))))/t)/t)**8/(t**0/t**(-1/6)))/(t**(2/15)*t*(t**(2/9)*t*t)/t*(t/(t*t**(-1)))**34) assuming t is positive. t**(-4007/90) Simplify (n**(-7/3))**(2/11)*(n*n**(-39))/(n**29*n) assuming n is positive. n**(-2258/33) Simplify ((l**(-9))**(-46)/((l*l**(3/4)*l)/(l*l**(-36/11)*l)))**(-22) assuming l is positive. l**(-18039/2) Simplify ((u/(u*u*u**(1/3)*u*u)*u**(-7))/(u**7*u*u*u**(-4/7)*u))**2 assuming u is positive. u**(-830/21) Simplify ((((p**5*p)/p)/p)/(p/((p*p/(((p*p/(p/p**8*p)*p)/p)/p*p))/p)))**(3/26)/((p/(p/(p*p/p**(-1/5)*p)))/p**1*p**(-2/9)/p**(-2/5)) assuming p is positive. p**(-1661/585) Simplify ((l/(l*l**1))**49)**(-1/13)*(l**(1/6)/l**(2/11))/(l**(2/37)*l*l**(-4/5)) assuming l is positive. l**(555559/158730) Simplify (u**2)**50/((u/(u/(u/((u/(u**(3/5)/u)*u)/u*u))))/(u*u*u**(1/2)*u))*((u**1)**29)**(2/39) assuming u is positive. u**(41491/390) Simplify v/(v*v**(-2/3))*v*v**5*v*v*(v/(v/(v*v*v/v**(-1))*v)*v)**(1/11)*(((v*(v/(v**0/v))/v*v)/v)**(-28))**24 assuming v is positive. v**(-44054/33) Simplify ((n**(-38/5)*n**(-25)/n*n)**(2/123))**(-7) assuming n is positive. n**(2282/615) Simplify ((d/(d*d*d**(1/2))*d)**33)**(-40)/((d**5/(d*d*d**1/d*d))/(d*d**(-5)*d*d/d**4)) assuming d is positive. d**652 Simplify (a**(-1/3)*a)**(2/13)*(a**(-6)/a)/a**(-1)*((a**(-2/9)/a)/a*((a*a**7)/a)/a*a)/(a/a**(6/5)*a*((a*a**(-2/11))/a)/a) assuming a is positive. a**(-4748/6435) Simplify (x/x**(1/13)*x**(-13))**(-2/101)*(x*(x/((x*x**(-4/9))/x))/x*x*x**(3/4))/((x/(x/(x*x*x*x/(x/x**(3/2)))))/(x/x**2)) assuming x is positive. x**(-97675/47268) Simplify ((u**(2/9)*u)/(u*u**(3/8)*u)*u**(-4)/u**(1/9))**(-37) assuming u is positive. u**(14023/72) Simplify ((v/(v/v**(-2/9)))**(3/2)/(v**(-8)/(v/(v*(v/(v/(v**0/v*v)))/v*v))))/(((v*v/(v*v*v**9*v))/(v*v*v*v**6))/(v**(-1/7)*v/v**(-8))) assuming v is positive. v**(746/21) Simplify (((w*w/(w/w**(1/4)))**28/(((w**2*w)/w)/(w*w**(4/5)*w*w*w)))**(-1/14))**(11/2) assuming w is positive. w**(-297/20) Simplify (u**2)**(-1/5)*(u**(1/3)/u*u*u)**1*(u**(1/16)/(u**(-6)*u*u*u))/(u*u**(-5)*u**7) assuming u is positive. u**(239/240) Simplify ((s/(s/(s**2*s)))/(s/(s/(s*s*s**(1/6)/s))))**(-29)*((s**(1/2))**(2/35))**(8/5) assuming s is positive. s**(-55777/1050) Simplify ((y/y**(-2/7))/y)**(4/19)/((y**(6/11)/y)/((y**8/y)/y))*(y*(y**(-2/3)*y)/y*y)**(-9)/(((y**2/y)/y)/(y*y/(y**(-6)*y))) assuming y is positive. y**(2216/1463) Simplify (j**(-1)*j*j)/j**(-3)*j**(-1/10)*j*j**(5/6)*((j**(-1)/j)**23)**4 assuming j is positive. j**(-2674/15) Simplify ((((n/n**14)/n)/(n*n**(4/7)*n))/(n**(-1/4)/n)**41)**(-50) assuming n is positive. n**(-24275/14) Simplify (((k**(-1/2))**(-11)*(k**(-1))**(-6/7))**(-34))**35 assuming k is positive. k**(-7565) Simplify (((c*(c/c**(-4))/c)/c*((c**(-2/13)/c)/c*c)/c)/(c*c/(c/(c**(-2)/c)))**23)/((c*c*c*c**(1/3)*c*c*c)**5)**(-47) assuming c is positive. c**(59911/39) Simplify (o*o*o**(-3)*o*o*o**2)/((o/o**9)/(o*o**(3/8)))*((o/o**(1/4))/o)**(-32)/(o**(-2/5)/(o**8/o*o*o)) assuming o is positive. o**(1191/40) Simplify (h**(4/5)*h/h**(1/11))/(h**(-4)/h**(-3))*(h**(-2/3)*h**(-2/11)*h)/(h/h**0)**(-2/121) assuming h is positive. h**(5222/1815) Simplify (((q/((q**(-1/3)*q)/q))/q)**(-2/11))**(-2/65)/(((q*q*(q*q**(-2/5))/q)/q)**(2/49)/(q**(-1))**(-1/32)) assuming q is positive. q**(29009/3363360) Simplify ((a/a**(-2/13))/(a*a**(-7)))**(4/27)*(a**(-2/7))**8/((a*a/(a**4/a))/(((a/(a*(a/((a/(((a**3*a)/a)/a))/a))/a*a)*a*a*a)/a)/a)) assuming a is positive. a**(-1823/819) Simplify a**(-5/8)*a**46*(a**22)**(-2/107) assuming a is positive. a**(38489/856) Simplify (s**(1/9)*s/(s/((s*s/s**(-5))/s))*(s/(s*s**1))**(-36/7))/((s**(-2)*s/(s*s*(s/(s*s**6)*s*s)/s*s*s))/(s**(4/9)/(s*s**(-2/7)))) assuming s is positive. s**(692/63) Simplify (y**(2/7)*y)**(-17/3)/(y**(2/5))**2*y**(1/3)*y*y**(-2)*((y**(-5/2)/y)/y)/(y/y**3) assuming y is positive. y**(-2363/210) Simplify (a**(1/20)*a*a/(a/(a/a**(-10)))*(a*a**(-2)*a)**(-35/2))**31 assuming a is positive. a**(7471/20) Simplify (s**(7/5)/(s**(-2/5)/s))**(-2/29)*(s**(2/7))**(41/4)/((s/s**(-1/2))/s)**(-29) assuming s is positive. s**(17494/1015) Simplify j*j/j**(5/3)*j/j**(-5/3)*(j**(-2/3)*j)**(-3/10)*(j**1)**(-32)*j**(1/4)*j/j**(-1/4) assuming j is positive. j**(-138/5) Simplify ((k*k*k**(-5)*k)/(k*k**(-4/3)))/(k/((k*k/k**(-6))/k)*(k/(k/k**(2/5))*k)/k*k)*((k*k/(k/(k**1/k))*k)**35)**(-43) assuming k is positive. k**(-45106/15) Simplify ((c**0)**(-1/8))**(-27)/(c**6*c*c**(1/3)*c*c**(2/9)/(c/((c*c*c**(-2/5))/c))) assuming c is positive. c**(-367/45) Simplify (((k*k**10)/(k/(k*k**(-27)*k)))/((k/(k*k*k**(-19/2)))/k**(4/7)))**(-39) assuming k is positive. k**(12519/14) Simplify ((n**(-1/3)/n)**(-25)/((n*n**(5/6)/n)/n**(-9)))**(2/39) assuming n is positive. n**(47/39) Simplify (l**(-1)*l**(-1)*(l**(-1/2)/l)/(l*l**(-5)))/((l/l**(-1/2))/(l/(l/(l*l**(-2/3)*l*l)*l)*l))**(-1/22) assuming l is positive. l**(61/132) Simplify (s**(-7)/(s*(s/(s**(-4)*s*s*s))/s))/(s**(-2/9)/(s*s*s**(-3)*s))*(s/s**(1/8))/s**(-8)*s/(s**4/s)*s**(-4/9) assuming s is positive. s**(-169/72) Simplify ((i/i**3
{ "pile_set_name": "DM Mathematics" }
+ 2 = -2*l. Let t = 5 + l. Solve 0 = -5*v + t*v for v. 0 Let v(g) = -3*g - 6. Let j be v(-4). Solve -j*o = -3*o + 15 for o. -5 Let i be -2 + 0 - (3 + -1). Let d be i/(-2 + 4/3). Suppose 3 = 5*p - 7. Solve w = -p*w + d for w. 2 Let r be 4/(12/(-15)) + 2. Let f be ((-2)/3)/(2/(-3)). Let a = f - r. Solve 0 = -a*k + 2 + 2 for k. 1 Let u be 11/((-1)/(-1) + 0). Let t = u + -6. Solve t*h - 8 + 33 = 0 for h. -5 Suppose 1 = -2*z - 1. Let l be (z/3)/((-1)/15). Solve l*a + 3 = 8 for a. 1 Suppose -2*y - 1 + 5 = 0. Solve -y*j - 9 = -1 for j. -4 Suppose 0 = t, 2*r - 1 - 1 = 5*t. Solve -9 + r = 4*z for z. -2 Suppose -4*a = 0, 0*u + 4*a + 10 = 5*u. Solve 0 = -0*r - u*r - 2 for r. -1 Let r = 19 - 17. Solve 0 = -g - r*g + 3 for g. 1 Let z = 7 - 7. Suppose z = -3*h + 5 - 8. Let p = 2 - h. Solve 0 = -v + p*v for v. 0 Let i(a) = 7*a - 1. Let t be i(1). Suppose -t*h - 1 = -7*h. Suppose -5*k - 3 = -3*y + 2, 3*y = -4*k - 4. Solve -d + y = h for d. -1 Let d(n) = n**3 + 6*n**2 + 4*n + 3. Let j be d(-5). Suppose -19 = -16*t + 61. Solve 0 = -3*p + t*p - j for p. 4 Let i(f) = 8 + 4*f**2 + 7*f + 0*f**2 - 2*f - 3*f**2. Let s be i(-6). Solve 5*l + s - 34 = 0 for l. 4 Suppose -4*x + 186 = 26. Suppose x + 0 = 4*s. Solve s = 4*r - 2 for r. 3 Let b = -50 + 51. Suppose -2*w = -2*k + 6, -w - 17 = -3*k - 8. Solve -k*i + 2 = -b for i. 1 Let w(g) = -g**3 + 12*g**2 - 11*g + 2. Let i(v) = v**3 - 7*v**2 + 7*v + 5. Let d be i(6). Let m be w(d). Let t = -13 + 14. Solve t - 3 = m*r for r. -1 Let z(x) = -x - 6. Let k be z(-6). Solve -3*s + 6 + 0 = k for s. 2 Suppose -2*s = 2*s + 12, -5*g - 12 = 4*s. Solve g*t - 15 = 3*t for t. -5 Let r(m) = m + 4. Let x be r(-2). Let d(h) = -3*h - 4. Let z be d(-3). Suppose 2*f = 3*i - x + 9, 5*i = -z*f + 30. Solve 0*q = q + i for q. -1 Suppose 0 = -0*i + 2*i. Suppose i*w + 4 = 2*w. Solve w*h = 1 + 7 for h. 4 Suppose 8 - 28 = -5*c. Suppose c*s - h + 6*h = 0, -5*h = 0. Solve s = t + t + 2 for t. -1 Let f be 21/24 - (-3)/24. Solve -2 = -t - f for t. 1 Suppose q - 3*r - 6 = 0, 12 = -0*q + 2*q - 3*r. Let d = 2 + -4. Let v be d/2*-1 - -1. Solve -q = -v*m - m for m. 2 Let y be 0/((-3)/(12/8)). Solve y*n + 15 = -5*n for n. -3 Let s = -10 - -16. Let j(b) = -b + 10. Let u be j(0). Let x = u - s. Solve r + 12 = x*r for r. 4 Suppose 0*c = 5*c. Solve c = 4*o - 4 - 0 for o. 1 Let j(u) = -u. Let m be j(-2). Suppose -11 + 51 = m*h. Solve 0 = -0*f - 4*f + h for f. 5 Let s be 2/(-6) - 280/(-12). Let d = s + -20. Solve 0*b + 3 = d*b for b. 1 Let k be 10*(-10)/(-25) - -2. Solve -2*g + k*g - 8 = 0 for g. 2 Suppose -11*s + 13*s = 10. Solve 2 = -s*u + 7 for u. 1 Let f = -72 + 72. Solve -3*g + f*g + 3 = 0 for g. 1 Let v be 9 - (25/(-5) + 10). Let d = 2 + -2. Solve v*j + d*j = 20 for j. 5 Suppose 2*d = 7 - 5. Let w be -1 + (1 - (-1 - d)). Solve -w*j - 2*j + 20 = 0 for j. 5 Let w(m) = -m**3 + m + 4. Suppose 5*n + 15 = -3*z, 5*n + 2*z - 7*z = 25. Let f be w(n). Solve -f*u + 0 = 20 for u. -5 Suppose -3*c + 5*g = 29, g = c + 4*c + 19. Let n = -9 - c. Let h be (-12)/(-7) + n/(-21). Solve -h*b - 2 = -8 for b. 3 Let v(g) = g**2 - 2*g + 1. Let x be v(3). Let o(f) = 3*f + 3. Let k(d) = -7*d - 6. Let z(n) = 2*k(n) + 5*o(n). Let y be z(x). Solve 2*a - y*a = 0 for a. 0 Let u = -44 + 48. Solve -34 = -u*g - 14 for g. 5 Suppose 3*c + 2*j = 7*c - 10, -2*c = 2*j - 8. Let v(f) = -f**2 - 2*f + 1. Let r be v(-3). Let l be (6/(-15))/(r/20). Solve l*y + 3 = c*y for y. -3 Suppose -4*u - 9 - 9 = -5*q, -2*u = -q + 6. Let p(h) = -h**3 + 8*h**2 + 2*h - 11. Let f be p(8). Solve 8 = -f*w - q for w. -2 Let g(j) = j**3 + 5*j**2 + 1. Suppose -5*a = -0*y - y + 10, 0 = -2*y - 4*a - 22. Let o be g(y). Solve -11 - o = -4*u for u. 3 Suppose 0*b - 3*b + 48 = 0. Solve -5*x = -x - b for x. 4 Let x(o) = 6*o - 38. Let n be x(7). Solve n*d = 5*d + 5 for d. -5 Let d = -1 + 3. Suppose l + l = 4*p - 6, 0 = -5*p + 15. Suppose 5*c = 2*c + 4*k + 56, 2*c - 39 = l*k. Solve -2*j = d*j + c for j. -3 Suppose -2 = g - 2*g. Let x(s) = 0*s**2 + 5*s - g*s**2 + 3*s**2 + 2. Let z be x(-5). Solve -7 - 1 = -z*d for d. 4 Let s = 9 + -4. Let f be (3 - (2 - 0))*s. Suppose -3 + 23 = f*h. Solve 1 = -3*u + h for u. 1 Let m = -5 + 6. Solve -2*h = -3*h - m for h. -1 Suppose -6*u + 10 = 5*h - 2*u, 4*h - 3*u = 8. Solve -2*c = h*c for c. 0 Suppose 4*q = -2*f - 8, 5*q - 3 + 10 = -4*f. Solve f*z - 3*z = -4 for z. 4 Let s be (1 - 0)/((-4)/(-16)). Suppose 0 = -0*o + s*o. Suppose 3*x - 18 = -3*h, o = 4*h + 2*x + 5 - 21. Solve -3 = h*t + t for t. -1 Let p = -1 + 7. Suppose 3*d + 1 = d + j, 2*d + 19 = -5*j. Let i be (d/(-4))/(1/6). Solve i*b = -0*b - p for b. -2 Suppose 0 = 3*l + y - 11, 2*y + 15 = -l - 3*y. Solve -2*k = -l*k + 3 for k. 1 Let j(c) = c**3 + 10*c**2 + 10*c + 13. Let s be j(-9). Suppose -5*p - 8 = -s*g, 2*p = -0*p. Suppose 7*o = g*o + 15. Solve -3*z + 6 = -o for z. 3 Suppose -u - 4*u - 10 = 0. Let y(d) = 1 + 1 - 4 - 2*d. Let c be y(u). Solve -12 = 5*i - c for i. -2 Suppose 2*k + 2*t + 2*t - 18 = 0, 4*k = 4*t. Let n(h) = -2*h - 4. Let v be n(-4). Solve k*i + v = -i for i. -1 Let z = -84 - -104. Solve -4*o + z = -9*o for o. -4 Suppose 10 = 6*p - p, 2*y + 3*p - 6 = 0. Solve m + y - 3 = 0 for m. 3 Let p(f) = -f + 7. Let y(s) = 2*s - 15. Let q(o) = 13*p(o) + 6*y(o). Let x be q(1). Suppose 3*g + 4*h - 12 = 0, -5*g - 2*h = h - 9. Solve -5*d + x*d = g for d. 0 Suppose 3*r - 36 = -24. Solve 0 = 4*y - 4 - r for y. 2 Let h(q) = -7*q + 9. Let f(d) = 6*d - 8. Let y(b) = -6*f(b) - 5*h(b). Let a be y(0). Suppose 2*o - n + a*n - 6 = 0, -5*o + 15 = -2*n. Solve -4*m + 11 = o for m. 2 Let u = -20 + 22. Solve u*s + s + 9 = 0 for s. -3 Let o be (-4)/(-6)*9/6. Let c be o/(-4) + 5/4. Let s = -1 + c. Solve -3*w + 2 - 5 = s for w. -1 Suppose 3*u + 2 + 1 = 0. Let m = u + 1. Solve -t = 3 - m for t. -3 Let l(s) = 5*s + 1. Let x be l(-1). Let f(d) = -4 - d + 3*d - 7*d + 3*d. Let y be f(x). Solve -y*c - c = -20 for c. 4 Suppose -24 = -13*z + 2. Solve 0 = -4*g + 2*g - z for g. -1 Suppose 2*w - 4 = -5*k, 2*w - 3*w = k + 1. Suppose 24 = 5*c - c. Let a = -4 + c. Solve a*r = -0 - k for r. -1 Suppose -z - 2*z + 10 = s, 16 = 2*s + 5*z. Let q = -1 - 3. Let c = s - q. Solve c*b = -0 - 4 for b. -2 Let s(c) = -c**3 + c**2 + c + 2. Let r(p) = -p**2 - 6*p + 7. Let l be r(-7). Let b be s(l). Solve -j - b*j = -15 for j. 5 Let m = 15 - 37. Let f = m - -37. Solve -2*v - f = -5*v for v. 5 Suppose -3*a + 2*a + 8 = 3*f, 16 = 4*f - 4*a. Solve 0 = 6*w + 21 - f for w. -3 Suppose -l - 3*l + 12 = 0. Suppose -l*q - 15 = 3*t, -2*t - 3*q = -8 + 23. Suppose -2*p + 24 = -a + 5*a, a - p = t. Solve -a*x = -4 - 0 for x. 1 Suppose 4 = -0*v - 2*v - 2*d, 3*v + 2*d = -1. Solve -2 = -k + v for k. 5 Let y = 31 + -27. Suppose 2*h + 5*j + 15 = 0, -2*h + h - 2*j = 5. Suppose 0*c + 35 = h*c. Solve -z - c = -y for z. -3 Let f(y) = -y**2 - 5*y + 1. Let j be f(-4). Solve -j*u = -u + 20 for u. -5 Let i be 40/60*(-3)/(-1). Solve -5*s = -i*s for s. 0 Let o = -42 + 42. Solve 2*r + r = o for r. 0 Let k(c) = -c + 1. Let v(s) = 5*s - 8. Let y(x) = -4*k(x) - v(x). Let i be y(2). Let f = 5 + -5. Solve -i*l + f = -2 for l. 1 Let o = 0 + 1. Let t(m) = 13*m - 1. Let i be t(o). Suppose -4*w + i = -f - 0*f, 2*w = -4*f + 24. Solve f*s - 3*s = 0 for s. 0 Suppose -4*j + 4 = y + 45, -3*j - 29 = -y. Let g = 20 + j. Solve 0 = -4*u - g + 22 for u. 3 Let s be 12 + (3 + -3)/(-2). Suppose 3*t + 3*x - 9 = 0, 0*t + s = -2*t + 4*x. Solve -m - 1 - 4 = t for m. -5 Suppose -13 + 1 = -4*l. Suppose -5*y + 5*t - 15 = 0, 0 = 4*y - t - 0*t + 3. Solve l*v + 2*v + 5 = y for v. -1 Let o be (0*(-2)/4)/(-2). Solve o = -c - 2*c for c. 0 Let r(d) = -1 + 2*d + 2*d + 0*d**2 - 3*d + 2*d**2. Let k be r(1). Solve -k*l - 10 = -2 for l. -4 Suppose 5*k = 2*s + 12, -1 = 5*s + 4. Solve t - k - 2 = 0 for t. 4 Suppose -5*x + 10 = 3*l, -5 - 18 = -2*x - 5*l. Let j = 1 - x. Solve j = -3*b - 4 for b. -2 Let h be (-15)/(-1) + 1 + -1. Let q(i) = 4*i**2 + 29*i - 19. Let r be q(-8). Solve -2*d = h - r for d. -5 Let u(s) = s**2 + 8*s + 9. Let g be u(-7). Suppose -g*c - 2*c + 12 = 0. Solve 1 = -c*x - 11 for x. -4 Suppose -i = -3*w - 2, 2*w + 2*w = 2*i - 2. Let n = w + 3. Solve n*m + 10 = -0*m for m. -5 Suppose 10*y - 19 - 31 = 0. Solve -y = 3*u + 7 for u. -4 Suppose 2*a - 16 = -6*a. Solve 4*x + 10 = a*x for x. -5 Suppose 0 = -5*z + o + 54, -4*z = z + 5*o - 30. Suppose 4*m = 2*q
{ "pile_set_name": "DM Mathematics" }
be s(15). Suppose 6*r + 1314 = n. Round r to the nearest ten. -140 Let k = 1262064709 + -1262051054.955845. Let p = k - 13654. Let t = p + -0.044. Round t to five dps. 0.00016 Let f = 447.586 - 448. Let q = -0.41399668 - f. Round q to 6 dps. 0.000003 Suppose 2*v + 4501 = -5*z, 11*v - 10*v + 2288 = 5*z. Let h be -3 - (-1 + 3)/(2/v). Round h to the nearest 100. 2300 Let w = 25.0567 - 0.1667. Let y = w + -24.8898629. What is y rounded to 5 decimal places? 0.00014 Let a = -0.8106 + 1.01012. Round a to 2 decimal places. 0.2 Let g = 570950 + -352528. Suppose -4*t + 113780 = -4*o, -76192 = -5*o + 4*t - g. What is o rounded to the nearest one thousand? -28000 Let u = 108606 - 108605.9065245. Let i = u + 33.9062145. Let n = -34 + i. Round n to four dps. -0.0003 Let p = -323 - -483.8. Let l = p - 246.824. Let z = l - -86. Round z to 2 decimal places. -0.02 Let v = 8.81918 + -0.10818. What is v rounded to 0 decimal places? 9 Suppose 298*j + 213027500 = 6*j + 57*j. What is j rounded to the nearest 100000? -900000 Let m = -66.755 - -8.785. Let k = m + 6.37. Round k to the nearest ten. -50 Let t = -10905.00018511 + 10905. Round t to 5 decimal places. -0.00019 Suppose -2*w - 60937 = -w. Let b(j) = -16597*j + 564. Let n be b(-9). Let y = n + w. Round y to the nearest ten thousand. 90000 Suppose b - 4*n - 47067 + 9323 = 0, -3*b + 3*n = -113250. Suppose 637900 + b = -j. Let h = -349652 - j. What is h rounded to the nearest 10000? 330000 Let q = 8458 - 8458.0009374. What is q rounded to 4 decimal places? -0.0009 Let q = 1793.7 - 14156.7. Let s = -12298.39 - q. Let o = s - 66. Round o to 1 decimal place. -1.4 Let t = 2.4141 - 2.414103556. What is t rounded to five dps? 0 Let c = 0.73 + -0.729970425. Round c to 6 decimal places. 0.00003 Let g = 16794 - 16793.9999994389. Round g to six decimal places. 0.000001 Let z = 6.346 + -6.313944. What is z rounded to four decimal places? 0.0321 Let a = 129341.47 - 130067. What is a rounded to the nearest one hundred? -700 Let z = -91996 - -91995.49099. Round z to 1 dp. -0.5 Let l be 18060/1*4446000/(-1092). What is l rounded to the nearest 1000000? -74000000 Let o = 4.68992835 + 0.60202625. Let d = o + 5.708046. Let u = d + -11. What is u rounded to six dps? 0.000001 Let i = -0.214217850752 - 107.085782596248. Let l = i - -107.3. What is l rounded to 7 dps? -0.0000004 Let j = -119.42845 - 0.26155. Let c = -938.6 + 824. Let b = c - j. Round b to 1 decimal place. 5.1 Suppose 3*n = -r + 387 - 41, -350 = -r - n. Suppose 3*h - r = 173. Let b be (h/(-3))/(8/3936). Round b to the nearest one thousand. -29000 Let r = -702 + 768.8. Let u = -54.95 + r. What is u rounded to the nearest integer? 12 Let n = 2158.124 + -2153. Let r = 5.1237859 - n. What is r rounded to five dps? -0.00021 Suppose 61*z + 51 = 62*z + 5*j, -2*z - 4*j = -108. Let t = z + -3896. Round t to the nearest 100. -3800 Let a = -137226.89 + 138012. Round a to the nearest ten. 790 Let y be (-3555)/(-158)*75736/(-3). What is y rounded to the nearest 10000? -570000 Let r = -8002.265089 - -8002.2. What is r rounded to two decimal places? -0.07 Let l = -35863 + 35863.050259. Round l to three decimal places. 0.05 Let u = -729 - -702. Let j be (u/(-81))/(2/(-43038)). What is j rounded to the nearest one thousand? -7000 Let m = 127966 + -248146. Round m to the nearest ten thousand. -120000 Let j = -0.042 - -0.003. Let k = j - 4.961. Let b = k + 5.003. What is b rounded to two dps? 0 Let z = 273.0509723007 + -0.0509716757. Let h = 273 - z. What is h rounded to 7 dps? -0.0000006 Let n = -46677.6662 - 414416593.3338. Let o = -414463146.99999968 - n. Let l = o + -124. What is l rounded to 7 dps? 0.0000003 Suppose -2*p = 4*h + 15547256, -5*h + 5*p + 1955134 - 21389204 = 0. Let a = -7896814 - h. Round a to the nearest 1000000. -4000000 Let m = -12.3 - -292.3. Let v = -278.24 + m. Round v to 1 decimal place. 1.8 Let w = -5.4 + 5.2. Let u = w - -0.24. Let h = u - 0.04094. What is h rounded to four decimal places? -0.0009 Suppose -57210365 = -10*a + 5*a - 2*r, 3*r = -2*a + 22884146. Let v = a - 5922073. What is v rounded to the nearest one million? 6000000 Let q = -309 + 435. Let w = q + 209. Let p = 331.79 - w. Round p to 1 decimal place. -3.2 Let n(q) = 5075*q**2 + 31577*q**3 + 7 + 1 - 5064*q**2 + 40144*q**3 + 10*q. Let c be n(-4). Round c to the nearest one million. -5000000 Let p = 186791.9986 + -186739. Let c = p - 53. What is c rounded to three dps? -0.001 Let s = -294.4 - -200. Let c = 94.400001386 + s. Round c to 7 dps. 0.0000014 Let r = 517964194 + -517964198.20000018. Let o = 3986.8 + -3991. Let f = o - r. Round f to seven dps. 0.0000002 Let q = 475.8 - -327. Round q to the nearest 100. 800 Let p = -17.9 - -19.07. Let x = 1.17 - p. Let i = -0.00055 - x. What is i rounded to 4 dps? -0.0006 Let i = 13721 + -13718.9715. Round i to one dp. 2 Let c = 16298 - 15793.2. Round c to the nearest ten. 500 Let q = -227 + 227.123. Let v = 0.613 - q. Let h = 1.05 - v. What is h rounded to one dp? 0.6 Let u = -10111 + 10111.0029644. What is u rounded to five decimal places? 0.00296 Let z = 326.9533 + -327. Let h = z - -0.046698985. What is h rounded to 7 decimal places? -0.000001 Let t = 8454.4 + -8454.39956569. What is t rounded to six dps? 0.000434 Let o be (-2 + 44/8)*20/7. Suppose -o*z + 3206686 = 12686. Round z to the nearest one hundred thousand. 300000 Suppose -3155 = -5*t - 0*k - k, 3*t = -2*k + 1900. Let p be t/(-4)*(6 + (-210)/25). Round p to the nearest ten. 380 Let m = -3891 + 2110. Let z = m - -1780.9999183. What is z rounded to five decimal places? -0.00008 Let w = 58136.821 + -58166. Round w to the nearest integer. -29 Let y be -2 - -45*(12/(-20) + 1). Let r be 0 - y/(4/(-1)). Suppose -r*t - w = 7413 + 66584, -3*t - 55512 = -4*w. Round t to the nearest one thousand. -19000 Let a be (-1714150)/((19/(-1))/114). Round a to the nearest 100000. 10300000 Let q = -52603 + 52572.739. What is q rounded to 0 dps? -30 Let b be 400/(-6)*18*66094/(-336). Round b to the nearest ten thousand. 240000 Let c = -5178.95198 + 5179. Round c to two decimal places. 0.05 Suppose 2*v = 3*j + 89, 6*j - j + 55 = v. Let s(f) = -12*f**3 + 45*f**2 - 48*f - 80. Let m be s(v). What is m rounded to the nearest 10000? -700000 Let x = 0.0375 - 0.187. Round x to 1 dp. -0.1 Let x = 8650 - 8492.32. Let d = 163 - x. Round d to 0 decimal places. 5 Let a = -267.045 - -4.045. Let o = 659715454.9999356 - 659715192. Let z = o + a. What is z rounded to 5 decimal places? -0.00006 Let p = 1883.16 + -1920. Let a = 38.603 + p. What is a rounded to zero dps? 2 Let r = -5536 + -7087. Round r to the nearest one hundred. -12600 Suppose 0 = -10*r + 14*r - 68. Let n(m) = -298*m**3 + m**2 + 2298*m**3 - 5*m + 15 - 3*m**2 - r. Let j be n(-2). Round j to the nearest 10000. -20000 Let x = -33 + 125. Let a = 92.0275 - x. What is a rounded to three dps? 0.028 Let o = 66.87 - 66.8699996387. Round o to seven dps. 0.0000004 Let k = 13406215.99926 + -13406330. Let w = k - -114. Round w to 4 dps. -0.0007 Let z = -18.1 + 22.01. What is z rounded to the nearest 10? 0 Let o = -71.2887973 + 71.29. What is o rounded to 4 dps? 0.0012 Let t = -317 - -390.7. Let w = t - 153.9. What is w rounded to the nearest 10? -80 Let c = 1294286 - 211196. Round c to the nearest one hundred thousand. 1100000 Let u = 36354.902 - 36427. Let y = 0.098 + u. Let d = -72.00000117 - y. Round d to 7 dps. -0.0000012 Let z = 3676 + -3696.352. Round z to the nearest integer. -20 Let d = -11.4 + 12.01. Let r = 1328 - 1327.331. Let b = d - r. What is b rounded to two dps? -0.06 Let p(j) be the first derivative of j**2 - 64*j + 18. Let k be p(34). Suppose 8 = -k*x, -2*x - 1182 = 5*y + 2822. Round y to the nearest one hundred. -800 Let r = 308.5898 + -308.3. Round r to 3 decimal places. 0.29 Let d = 426 - 503. Let w = -77.6 - d. Round w to 1 dp. -0.6 Let r be 155/7 - (-27)/(-189). Suppose r*b - 41065 = -4655. What is b rounded to the nearest one hundred? 1700 Let u = -377.184 + 427.15. Let i = -50 + u. Let l = i + 0.033696. What is l rounded to five dps? -0.0003 Let g = -511 + 514. Suppose s = -0*s. Let z be -415*(4 + s - g). Round z to the nearest 10. -420 Let a = -4965570321471.67200067 + 4965569938295.7. Let k = a + 383176. Let i = -0.028 + k. What is i rounded to seven
{ "pile_set_name": "DM Mathematics" }
133))/sqrt(7) - 2*sqrt(304))**2. -7296 Simplify (-4*sqrt(816))/(sqrt(3) + sqrt(9)/(sqrt(12)/sqrt(4))) + -4. -8*sqrt(17) - 4 Simplify (-3 + sqrt(243)*2 + 2)**2 + 1 + sqrt(48) + 3 + sqrt(30)/(2*sqrt(10)). -63*sqrt(3)/2 + 977 Simplify ((sqrt(187) - (sqrt(187) + sqrt(187) + -1*(sqrt(187) + 1*sqrt(187))))/((-1*sqrt(88))/sqrt(8)) + 4)**2. -8*sqrt(17) + 33 Simplify (sqrt(13) - ((4*sqrt(13))**2 + 4))*-5 - (sqrt(1872) + 3 + -1). -17*sqrt(13) + 1058 Simplify (sqrt(20) - 2*sqrt(980))/sqrt(4) + sqrt(20) + sqrt(500) + -3 + sqrt(20) + -5. -8 + sqrt(5) Simplify (4*sqrt(187)*-2 + sqrt(187) + sqrt(187) - 5*(sqrt(187)*2 + sqrt(187) + sqrt(187)))/((sqrt(1100) - sqrt(1100)*2)*-3). -13*sqrt(17)/15 Simplify ((sqrt(22) - (sqrt(22) - -5*sqrt(88))) + ((-1*sqrt(88))/sqrt(4) - sqrt(22)))/(sqrt(12)/(sqrt(6)*-1) - (sqrt(162)*-1 - sqrt(162))). -12*sqrt(11)/17 Simplify 0 + sqrt(17) + -1 + sqrt(34)/(sqrt(6)/sqrt(3)) - (sqrt(833)*-2*-2)**2. -13329 + 2*sqrt(17) Simplify (1*(sqrt(204) - 2*sqrt(204)) + (sqrt(204) - -1*sqrt(204))*-1)/((3*sqrt(108) + sqrt(108))*5). -sqrt(17)/20 Simplify (-6*(2 + 1 + sqrt(396)*1 + sqrt(396) + sqrt(396) + sqrt(396) + 1*sqrt(396)*6))**2. 12960*sqrt(11) + 1425924 Simplify (4*sqrt(78)*-2*-6)/(sqrt(96)*-2*6 + sqrt(96)). -12*sqrt(13)/11 Simplify -3 + (1 + (sqrt(1250) + sqrt(1250) + -6*sqrt(1250))/sqrt(10))**2*2. -80*sqrt(5) + 3999 Simplify 0 + -4 + (1 + sqrt(891) + -4 + sqrt(891))**2. -108*sqrt(11) + 3569 Simplify ((sqrt(19) + -1)**2 + -4 - (-5 + sqrt(76)/sqrt(4))) + (-6*(sqrt(19) - sqrt(76)*-3))**2 + 4. -3*sqrt(19) + 33541 Simplify sqrt(10)/(3*sqrt(12)/sqrt(6)) + ((sqrt(175)*-4 + sqrt(175) + sqrt(175))/sqrt(7))/sqrt(5). -5*sqrt(5)/3 Simplify 1 + (sqrt(96)/(sqrt(48) - sqrt(3)) + sqrt(32) + (sqrt(32) + sqrt(384)/(-2*sqrt(12) + sqrt(12)) - sqrt(32)))*-5. -20*sqrt(2)/3 + 1 Simplify ((sqrt(2) - sqrt(32)) + -4 - (sqrt(10)/sqrt(5) + -4) - (sqrt(150)/sqrt(3) + 1 + sqrt(288)))**2. 42*sqrt(2) + 883 Simplify ((-2 + sqrt(35)/(sqrt(7) - sqrt(112)) + -3 + (sqrt(5) - sqrt(55)/(sqrt(99)/sqrt(9))))*1)**2. 10*sqrt(5)/3 + 230/9 Simplify ((sqrt(2178) - (sqrt(2178) + 1*-2*sqrt(2178))) + sqrt(2178))/((1*sqrt(96) + sqrt(96))*5). 33*sqrt(3)/40 Simplify (-5 + sqrt(539) + (2 + sqrt(539))*-4)*2. -42*sqrt(11) - 26 Simplify ((sqrt(80) - 2*sqrt(80))*-3 + -5*sqrt(80)*-1 + sqrt(80))/(1*(sqrt(196) - sqrt(196)*2) + sqrt(196) + sqrt(196)). 18*sqrt(5)/7 Simplify 1 + (-2 + -2*-3*sqrt(68) + 0 + 0)**2. -48*sqrt(17) + 2453 Simplify -4*(1*-4*sqrt(44)/sqrt(4))**2 - (5*(-1 + sqrt(99))*-1)**2. -3204 + 150*sqrt(11) Simplify (-2 + (sqrt(1400) - sqrt(1400)*-2)/(-1*sqrt(98)))**2. 120*sqrt(7)/7 + 928/7 Simplify (-1 + ((sqrt(440)*-3 + sqrt(440))/sqrt(10) - (sqrt(44)*-3 + -5)) + 4)**2. 32*sqrt(11) + 108 Simplify ((sqrt(117) - (sqrt(117) - -2*sqrt(117)))*2*-3 - 2*(sqrt(117) + (sqrt(117) - -1*(sqrt(117) + -2))))**2. 144*sqrt(13) + 4228 Simplify (-4*sqrt(104)*2)/(6*(sqrt(8) + 3*sqrt(8) + sqrt(8))). -4*sqrt(13)/15 Simplify -4 + sqrt(192)/((-1*sqrt(44))/sqrt(11)). -4*sqrt(3) - 4 Simplify -6*(-1*sqrt(190)*-5)/((sqrt(20)*-2)/sqrt(2)). 15*sqrt(19) Simplify (-5*(sqrt(104)*-2 - sqrt(104)))/sqrt(8) - (sqrt(39)/sqrt(3)*2 - sqrt(39)/sqrt(27))**2. -325/9 + 15*sqrt(13) Simplify ((-1*1*sqrt(190)*-4)/(-1*(sqrt(10) + sqrt(160)) + sqrt(20)/sqrt(2)*-6))**2. 304/121 Simplify 4 + (sqrt(34) - (sqrt(136)*1 - sqrt(34)))/(-1*(sqrt(2) + sqrt(2)*-2 + sqrt(2)) - sqrt(2)) + 5. 9 Simplify (-5*sqrt(216))/sqrt(3) + -4. -30*sqrt(2) - 4 Simplify (((sqrt(1300) - (sqrt(1300) - sqrt(1300)*-2*-4)) + -4 + sqrt(1300)*-1)*-6)**2*-6*5. -68813280 + 604800*sqrt(13) Simplify (sqrt(363) + 3)*4*-2 + 3. -88*sqrt(3) - 21 Simplify (-5 + -3*(5 + sqrt(242) + -2) + -1*sqrt(242)*-1*-2)**2. 1540*sqrt(2) + 6246 Simplify (3 + sqrt(343) + 3)**2 + (sqrt(448) + -1*sqrt(448) - (sqrt(7) + 0)*3). 81*sqrt(7) + 379 Simplify (2 + sqrt(320))*-6 + 3 - (((sqrt(320) - -1*sqrt(320)) + -3)**2 + (sqrt(320) + sqrt(320)*2)*-3). -1298 + 120*sqrt(5) Simplify (sqrt(70)/((sqrt(24)*-1)/sqrt(12)))/((sqrt(125) + sqrt(125)*3)*-3 + sqrt(125)). sqrt(7)/55 Simplify 6*(-4 + -2 + sqrt(252) - sqrt(252)) - (2 + (sqrt(252) + sqrt(252) + 2 - sqrt(252)) + -3)**2. -289 - 12*sqrt(7) Simplify (((sqrt(70) - 3*(sqrt(70)*-2 + sqrt(70))) + (1*(sqrt(70)*1 + sqrt(70)) - sqrt(70)))/(1*sqrt(800)/sqrt(5)))**2. 175/16 Simplify (sqrt(35)/(sqrt(20)/sqrt(4)) - sqrt(7) - sqrt(7))*4 + -2 - (2*sqrt(7)*6 - (sqrt(567)*3 - sqrt(567)))**2. -254 - 4*sqrt(7) Simplify ((sqrt(2500) + sqrt(2500)*3 + sqrt(2500) - sqrt(2500)) + sqrt(2500))/(sqrt(45)*3). 50*sqrt(5)/9 Simplify 6*(5 + (3 + (sqrt(19) + -1)*-1 + sqrt(152)/(sqrt(72) + sqrt(8)))**2). -36*sqrt(19) + 1521/8 Simplify 3*((((1*sqrt(288) - sqrt(288))**2 - sqrt(288))*-1 - sqrt(288)) + (sqrt(3200) + -2 - sqrt(3200))**2). 12 Simplify -4*(-4 + (sqrt(133)*-1*3)/(-1*-2*sqrt(7) + sqrt(7)) + -5). 4*sqrt(19) + 36 Simplify -3 + (((sqrt(280) - sqrt(280)*2)*-1)/sqrt(7))/((sqrt(1152) + sqrt(1152) + sqrt(1152)*2 - sqrt(1152))*-3). -3 - sqrt(5)/108 Simplify ((-2 + (sqrt(55)/sqrt(5) + -4 - sqrt(275)*1))*6*4 + 3)**2. 27072*sqrt(11) + 121257 Simplify -2 + -4 + ((-5 + 2*(sqrt(931) + -1))*-1)**2. -196*sqrt(19) + 3767 Simplify -6*(((sqrt(13) + -2)*-5)**2 + -3 - (-1 + sqrt(1053) + 4)**2). 924*sqrt(13) + 3840 Simplify (6*(-2 + sqrt(6)/sqrt(3) + 3 + (5*(sqrt(80)/sqrt(4) - sqrt(20)))/sqrt(10)))**2 + 5. 72*sqrt(2) + 113 Simplify (sqrt(693)/(sqrt(11) + 1*sqrt(44)))/(2*sqrt(36)*-6). -sqrt(7)/72 Simplify (2*2*sqrt(91) - (sqrt(91) - -1*sqrt(91))*-2)/(sqrt(70)/((sqrt(110)*-2)/sqrt(11))). -16*sqrt(13) Simplify ((2*sqrt(1512) - sqrt(42)) + (sqrt(420)*-1 + sqrt(420))/sqrt(10))/((sqrt(120)/sqrt(10)*-1)/sqrt(2)). -11*sqrt(7) Simplify (sqrt(1836)*1*-2)/(sqrt(147) - -5*-2*sqrt(147)). 4*sqrt(17)/21 Simplify 4 + ((sqrt(132)*-4 - sqrt(132))*-2)/(sqrt(12) - sqrt(108)/sqrt(225)). 4 + 25*sqrt(11)/2 Simplify (-2*(sqrt(200) + -3 - sqrt(200)) + sqrt(200) + sqrt(200) + (sqrt(200)*4 + sqrt(200))*6 + sqrt(200))**2. 3960*sqrt(2) + 217836 Simplify (-3 + sqrt(475) + 2*sqrt(475)*-1)**2 + 1 + (sqrt(475) + (sqrt(475) - 2*(1 + sqrt(475) + sqrt(475))))**2. 70*sqrt(19) + 2389 Simplify ((sqrt(500) - (sqrt(500) - (-2 + sqrt(500)))) + 3*sqrt(125) + sqrt(125) + -1 + sqrt(405) + 1 + 4)**2. 156*sqrt(5) + 7609 Simplify -5*(sqrt(13) + -1 + sqrt(1573)) - (-1 + (-2*sqrt(637))**2). -2542 - 60*sqrt(13) Simplify -4 + -2 + sqrt(2057) - (sqrt(272) + 0 - (-4 + (sqrt(68)/sqrt(4) - sqrt(17)))). -10 + 7*sqrt(17) Simplify (sqrt(891)*1 + sqrt(891))**2*-5 + (-6*(sqrt(396) + -1 + sqrt(396)))**2. -864*sqrt(11) + 39240 Simplify -2*((-2*sqrt(637) + sqrt(637) + (sqrt(13) + (sqrt(13) - (sqrt(91) + (sqrt(91) - (sqrt(91) - sqrt(91)*4)))/sqrt(7)) - sqrt(13)))**2 + 5). -3156 Simplify 2*((sqrt(68) + sqrt(68) + ((sqrt(68) + 2 + sqrt(68) + sqrt(68))*3 - sqrt(68)) - (sqrt(68) + ((sqrt(68) + -2)*5 - sqrt(68))))**2 + 1). 640*sqrt(17) + 3914 Simplify (sqrt(80)*-3 - (sqrt(20) - (sqrt(20) + 6*sqrt(180) - sqrt(20))))/(-6*sqrt(12)/sqrt(3) + sqrt(4) + (sqrt(96)/sqrt(3))/sqrt(8)). -11*sqrt(5)/4 Simplify (3*(-6*sqrt(363)*-1 + sqrt(363) + sqrt(363)*-1 + 5 + -3*(sqrt(363) + 1)*-3))**2. 41580*sqrt(3) + 736839 Simplify ((sqrt(117) + -6*sqrt(117)*-2 - 1*sqrt(117)*1) + 5 + 2)**2. 504*sqrt(13) + 16897 Simplify -1 + -2*(-5*(sqrt(7) - (sqrt(42) + (sqrt(42) - sqrt(168)))/sqrt(6)))**2*-6*-2. -4201 Simplify (sqrt(132) - (3*sqrt(132)*-2 - sqrt(132)))/sqrt(12)*-4 + -3. -32*sqrt(11) - 3 Simplify 3*(sqrt(3) + sqrt(3)*-2*1)*-6*2. 36*sqrt(3) Simplify 2 + sqrt(28) + sqrt(7) + sqrt(7) + (sqrt(84)/(sqrt(48)/sqrt(4)))**2 - (0 + sqrt(7) + 2)**2*-5. 24*sqrt(7) + 64 Simplify 5*(-3 + (-6*(sqrt(275) + -1) - (sqrt(275) + 0 + -1*sqrt(275)))). -150*sqrt(11) + 15 Simplify -1*(sqrt(1440)/sqrt(8) + (sqrt(5) - (sqrt(20)/sqrt(4) + 3)) + -2 + -4). -6*sqrt(5) + 9 Simplify (0 + 2*(4 + 1*sqrt(80))*3)**2. 1152*sqrt(5) + 3456 Simplify (6*(sqrt(128) + 1))**2 + (5 + sqrt(128) + 0 - sqrt(128)) + 4. 576*sqrt(2) + 4653 Simplify (-1*(sqrt(72) + 0 + sqrt(72) + sqrt(72)) - sqrt(72) - sqrt(72))**2 + ((4 + sqrt(128)*-1)*5)**2. -1600*sqrt(2) + 5400 Simplify (-4*4*(-3 + sqrt(2)))**2 + sqrt(20)/(sqrt(1440) - (sqrt(1440)*6 - sqrt(1440))). -73729*sqrt(2)/48 + 2816 Simplify (5*1*-3*sqrt(10))/(sqrt(8)/(3*2*sqrt(4))). -90*sqrt(5) Simplify (sqrt(100) + (sqrt(100) - (sqrt(100) + sqrt(100) + (sqrt(100) + 2*4*sqrt(100) - sqrt(100)
{ "pile_set_name": "DM Mathematics" }
**3 + 0 + 6/5*d = 0. 0, 1, 2 Let m = -522 + 524. Let g be (8 - 0)/(3*m/3). Solve -1/2 + 4*l**g - l**3 - 7/2*l**2 + 11/4*l - 7/4*l**5 = 0. -1, 2/7, 1 Solve 35*h**3 + 49*h - 258*h**4 - 41*h - 38*h + 208*h**4 + 55*h**2 = 0 for h. -1, 0, 1/2, 6/5 Let m(z) be the second derivative of -48/7*z**2 - 38/3*z**4 + 4*z - 4 - 7/5*z**5 + 328/21*z**3. Factor m(s). -4*(s + 6)*(7*s - 2)**2/7 Let i(h) be the first derivative of 2*h**3/11 - 258*h**2/11 - 96*h + 808. Find w, given that i(w) = 0. -2, 88 Let h = 245 + -1212/5. Let z be (-6)/((360/108)/(16/(-18))). Factor -6/5 - z*t**2 + h*t + 1/5*t**3. (t - 6)*(t - 1)**2/5 Let s be (0 + 3 - 5) + 8/2. Suppose 0 = 3*z + s*j + j, 20 = z - 3*j. Determine t so that -59*t**z + 4*t**4 - 6*t**2 + 2*t**3 + 57*t**5 + 2*t**2 = 0. -1, 0, 1, 2 Determine l, given that -39/4*l + 1031/8*l**3 - 387/8*l**4 - 721/8*l**2 - 5/8*l**5 + 20 = 0. -80, -2/5, 1 Suppose -14874 + 3*h**2 - 7959 - 420*h + 37533 = 0. Calculate h. 70 Let h be 7 + 5*5*(-4)/50. Find v, given that 140*v**3 - 16*v**2 - 14*v**4 + 3*v**5 - 63*v**3 - 49*v**3 - v**h = 0. 0, 1, 2, 4 Suppose -97*y + 23*y + 86 = -31*y. Suppose -2/13*m**3 + 16/13*m**y - 2/13*m**4 + 24/13*m + 0 = 0. Calculate m. -2, 0, 3 Let p = -30 + 91. Let h = -59 + p. Factor 101*a**h + 45*a - 40 + 104*a**2 - 210*a**2. -5*(a - 8)*(a - 1) Solve 111 - 51 - 5*z**2 + 523 + 2 + 580*z = 0 for z. -1, 117 Suppose -1 = q + 3*o, -4*q + 8 = 4*o - 4. Suppose q*n = -5*n. Determine s so that n*s**3 - 12 - 2*s**3 + 3*s**3 + 4*s - 5*s**3 + 12*s**2 = 0. -1, 1, 3 Let f(p) be the first derivative of 5*p**6/6 + 8*p**5 - 55*p**4/4 - 890*p**3/3 - 1010*p**2 - 1400*p + 873. Let f(k) = 0. What is k? -7, -2, 5 Let n(m) be the first derivative of 71*m**2 + 0*m - 124 - 2/3*m**3. Solve n(j) = 0. 0, 71 Let c(a) be the third derivative of 0*a - 2/105*a**6 + 0 - 2/7*a**4 + 34*a**2 - 11/105*a**5 - 3/7*a**3 - 1/735*a**7. Suppose c(o) = 0. Calculate o. -3, -1 Let g**2 - 57/7*g + 50/7 = 0. Calculate g. 1, 50/7 Let m(q) be the third derivative of q**7/420 + q**6/120 - q**5/40 - q**4/6 - q**3/3 - 304*q**2. Let m(x) = 0. What is x? -2, -1, 2 Suppose 0 = 6*g + 130 + 32. Let l be -5 - (2 + 18/(-10))*g. Determine p so that -2/5*p**2 + 0 - l*p = 0. -1, 0 Let n = 26583 - 106329/4. Let v(c) be the first derivative of -3 + 0*c + 1/5*c**5 + n*c**4 + 2/3*c**3 + 0*c**2. Suppose v(g) = 0. What is g? -2, -1, 0 Let k = -19464 + 19468. Let n(i) be the second derivative of -1/20*i**5 + 1/6*i**k + 13*i + 0 + 0*i**3 + 0*i**2. Factor n(c). -c**2*(c - 2) Let p(g) be the second derivative of -g**5/90 + 13*g**4/54 - 35*g**3/27 - 49*g**2/9 + 257*g. Suppose p(m) = 0. Calculate m. -1, 7 Let -57/5*x**2 + 93/5*x**4 + 103/5*x**3 - 36/5 + 9/5*x**5 - 112/5*x = 0. What is x? -9, -1, -2/3, 1 Let u(a) be the first derivative of -2*a**5/15 + 26*a**4/3 + 440*a**3/9 + 224*a**2/3 + 3163. What is k in u(k) = 0? -2, 0, 56 Suppose 0 = 22*y + x - 2, -y - 86*x + 6 = -83*x. Find o such that y - 4/11*o - 2/11*o**2 = 0. -2, 0 Let z(a) = -11*a**2 + 12*a - 19. Suppose 62 = 17*p - 74. Let i(o) = -31*o**2 + 37*o - 54. Let s(k) = p*z(k) - 3*i(k). Determine y so that s(y) = 0. 1, 2 Let f = 27/472 + 563/472. Factor -5/2*x - f - 5/4*x**2. -5*(x + 1)**2/4 Find v, given that -428*v**3 - 16/3*v**5 + 220/3*v**2 + 108 + 348*v - 96*v**4 = 0. -9, -1/2, 1 Let k(h) = -h**2 + 6*h + 1. Let u be k(8). Let m = u - -18. Factor -1 + 1 - 6*j**2 + 5*j - 2*j + 3*j**m. 3*j*(j - 1)**2 Let m(u) be the second derivative of -u**7/840 + u**6/96 - u**5/40 - 39*u**2 - 9*u + 11. Let q(b) be the first derivative of m(b). Let q(o) = 0. What is o? 0, 2, 3 Let b(t) = 10*t + 26. Let k be b(-2). Let w(v) be the third derivative of 0*v**4 + 1/14*v**7 + 1/20*v**5 + 3/20*v**k + 0*v - 7*v**2 + 0*v**3 + 0. Factor w(c). 3*c**2*(c + 1)*(5*c + 1) Let m(d) be the second derivative of -2*d**7/21 + 32*d**6/15 - 3*d**5 - 94*d + 3. Let m(x) = 0. Calculate x. 0, 1, 15 Let v(a) be the third derivative of a**7/42 - a**6/3 + 2*a**5/3 + 20*a**4/3 - 40*a**3 - 79*a**2 + 2. Factor v(j). 5*(j - 6)*(j - 2)**2*(j + 2) Solve 82*s**3 + 2906*s + 2948*s + 76*s**2 - 6014*s + 2*s**4 = 0. -40, -2, 0, 1 Let m(r) be the second derivative of -r**5/100 + r**3/10 - 34*r**2 + 102*r. Let l(s) be the first derivative of m(s). Find f, given that l(f) = 0. -1, 1 Let m = 9 - 3. Let x(d) be the first derivative of -9/5*d**5 + 5/8*d**m - 1/2*d**3 + 0*d**2 + 8 + 0*d + 27/16*d**4. Determine c, given that x(c) = 0. 0, 2/5, 1 Suppose -15102*g + 84 = -15074*g. Let c(o) be the third derivative of 1/30*o**4 - 2/75*o**5 + 0 + 1/150*o**6 + 0*o + 0*o**g - 29*o**2. Factor c(f). 4*f*(f - 1)**2/5 Suppose 15*s - 30 = -4*v + 13*s, -4*v - 5*s + 63 = 0. Factor 9/4*q**3 + 15/4*q**v - 3 - 3*q. 3*(q - 1)*(q + 2)*(3*q + 2)/4 Let a(l) = l**2 - 14*l - 119. Let t be a(-6). Suppose -4*k - 2*g = -105 + 103, -5*k + t = g. Suppose x**3 + 1/2*x**2 + 1/2*x**4 + 0*x + k = 0. What is x? -1, 0 Factor -272*d + 50/3*d**2 + 888 + 2/3*d**3. 2*(d - 6)**2*(d + 37)/3 Determine q so that 132*q**2 + 7*q**3 + 955 + q**5 - 144*q - 3*q**4 - 955 - 35*q**3 = 0. -6, 0, 2, 3, 4 Let v be 15/(-45) - ((-42)/36 + (-1)/(-3)). Let m(p) be the second derivative of v*p**6 + 0*p**2 - 5/3*p**3 + 1/2*p**5 + 0 - 30*p - 5/4*p**4. Factor m(l). 5*l*(l - 1)*(l + 1)*(3*l + 2) Suppose 24 = -4*i - 4*l, 5*i + 46 = -2*l + 43. What is p in -12/5 - 12/5*p**2 - 2/5*p**i - 22/5*p = 0? -3, -2, -1 Let v(c) = 6*c**2 + 5002*c + 4958. Let w(b) = -31*b**2 - 25031*b - 24791. Let k(n) = 11*v(n) + 2*w(n). Factor k(q). 4*(q + 1)*(q + 1239) Let y(p) be the second derivative of p**4/4 + 341*p**3 + 348843*p**2/2 + 2611*p. Suppose y(v) = 0. Calculate v. -341 Let w(r) = r**2 + r - 5. Let t(a) = 3*a**3 - 17*a**2 + 26*a - 5. Let c(j) = -2*t(j) + 6*w(j). Let c(o) = 0. What is o? -1/3, 2, 5 Let u = -315889 - -315894. Factor 4/13*y**u + 0*y - 2/13*y**3 - 2/13*y**4 + 0 + 0*y**2. 2*y**3*(y - 1)*(2*y + 1)/13 Suppose 35*s = 58*s - 345. Factor 4*m**2 - 15*m - 2*m**2 - 4*m**2 + 34*m - s*m. -2*m*(m - 2) Let c = 3/5587795 - -17506557547/7800561820. Let t = c + 2/349. Factor 3/2*h - 3/4*h**4 + 0 - 3/4*h**5 + t*h**3 + 15/4*h**2. -3*h*(h - 2)*(h + 1)**3/4 Let v(t) be the third derivative of -1/5*t**5 + 0 + 2*t - 39*t**2 - 8/3*t**4 + 8*t**3. Factor v(n). -4*(n + 6)*(3*n - 2) Let z(k) be the first derivative of -k**6/288 - k**5/30 - k**4/32 + 79*k**3 + 15. Let d(b) be the third derivative of z(b). Factor d(c). -(c + 3)*(5*c + 1)/4 Let p be (-186)/31 + (1 - -7). Let 48*z**3 + 76 + z**4 + 888*z**2 - 120*z**p - 76 + 4096*z = 0. Calculate z. -16, 0 Let d(g) be the third derivative of 0 - 17/84*g**4 + 1/210*g**5 - 29*g**2 + 11/21*g**3 + 1/84*g**6 + 0*g. Let d(t) = 0. Calculate t. -11/5, 1 Factor -18*r + r**5 - 30 - 20*r**2 + 187758*r**4 + 0*r**5 - 47*r - 187748*r**4 + 30*r**3 - 6*r**5. -5*(r - 3)*(r - 2)*(r + 1)**3 Let n = 119213/7 + -17027. Factor n - 24/7*z**2 - 3/7*z + 3/7*z**3. 3*(z - 8)*(z - 1)*(z + 1)/7 Suppose -72 - 72 = -18*b. Let a = -5 + b. Factor 2*n**4 - n**4 + 0*n - 16*n**2 + 15*n**2 + 3*n - a*n**3. n*(n - 3)*(n - 1)*(n + 1) Let s = 315 - 126. Let m = 5436 - 5434. Determine g, given that 57 - s*g - 4*g**3 - 45*g**m + g**3 - 204 = 0. -7, -1 Let m(y) be the first derivative of 32/5*y + 56/15*y**2 + 2/15*y**3 - 1/5*y**4 - 2/75*y**5 + 122. Determine g, given that m(g) = 0. -4, -1, 3 Let l(j) be the first derivative of -3*j**5/5 - 93*j**4 - 4084*j**3 - 22320*j**2 - 43200*j - 4868. Solve l(s) = 0 for s. -60, -2 Let d(r) = 15*r**2 + 6*r + 12. Suppose -3*x + 2*q = -q - 15, 5*q = 4*x - 24. Let s(g) = -15*g + 5*g - 1 + 9*g - g**2. Let w(l) = x*d(l) + 12*s(l). Factor w(o). 3*o*(o - 2) Suppose 5*j - 20 = -z, z + 229 = j + 225. Suppose 4/5*p**3 - 16/5*p**2 + 0 + z*p = 0. Calculate p. 0, 4 Let u(j) = 2*j**2. Let q(g) = -10*g + g + g - 2 + 8 + 24*g**2. Let y(v) = 2*q(v) - 22*u(v). Factor y(x). 4*(x - 3)*(x - 1) Suppose -6448/3*k**2 - 1088/3 + 2896/3*k**3 - 7/3*k**5 + 1808*k - 144*k**4 = 0. What is k? -68, 2/7, 2 Let i(a) = 2*a**3 - 9*a**2 - 8*a + 15. Let q(z) = -z**3 + 4*z**2 + 4*z - 7. Suppose 0 = 3*v - c - 12, v - 4*c = 13 + 2. Let g(o) = v*i(o) + 7*q(o). Factor g(n). -(n - 2)*(n - 1)*(n + 2) Suppose 342/7*d**3 + 0 - 80/7*d**2 + 2*d**5 - 8*d - 220/7*d**4 = 0. What is d? -2/7, 0, 1, 14 Let g(a) = -101*a**2 + 2*a + 2. Let f be g(-1). Let b = f + 102. Find m such that 0 - 14*m**2
{ "pile_set_name": "DM Mathematics" }
e the prime factors of b(1)? 3, 1787 Suppose 45*h = -21*h + 91*h - 268725. List the prime factors of h. 3, 3583 Suppose -o - 4 = 0, -2*h + 232 = -o + 16. Suppose -t - 6 = t, q - h = -5*t. List the prime factors of q. 11 Let c(k) = -19*k**3 - 9*k**2 - 9*k - 19. Let b be c(-6). Suppose -6*u = -1711 - b. List the prime factors of u. 3, 307 Suppose 30*m + 127128 = 777648. List the prime factors of m. 2, 3, 13, 139 Let y be (4 - 574/21)/(2/24). Let s = -66 - y. Let i = -139 + s. List the prime factors of i. 3, 5 Suppose 0 = -136*l + 75*l + 1133316 + 1304671. What are the prime factors of l? 17, 2351 Suppose -10 - 23 = -11*d. Suppose -d*o - 34 = -o. Let w = 64 - o. List the prime factors of w. 3 Let k = 365 + -988. What are the prime factors of (-4)/(28/k) + 7? 2, 3 Let d be 5*((-2)/(-3) + (-16)/60). Suppose -117 = -d*m + 21. Suppose -183 - m = -4*v. What are the prime factors of v? 3, 7 Suppose -3*b + 10 + 8 = 0. Let o be (-4)/((-8)/(-15))*b. What are the prime factors of o/(-20)*(178/3 - -2)? 2, 3, 23 Suppose -4*y = y + 65. Let t = y - -16. Suppose 0 = 3*x - 5*r - 347, -3*r = -t*x + 213 + 132. What are the prime factors of x? 2, 3, 19 Let x(y) = -y**3 - 11*y**2 + 7*y + 30. Suppose c = -4*j - 28, -4*j - 24 = c - j. Let n be x(c). List the prime factors of (0 - n)*(20 - 21). 2, 3, 5 Suppose s = 5*s - 4*p - 24, 0 = 2*p + 8. Suppose -k + 0 + s = 0. Suppose 0 = 2*g - u - k*u - 18, 11 = g - u. List the prime factors of g. 3, 5 Let y be 3*((-1)/3 + 0) - -3115. Suppose -9766 = 7*v + y. List the prime factors of (v/(-32))/((-2)/(-4)) + -3. 2, 7 Suppose 671*p = 1315*p - 659*p + 444765. List the prime factors of p. 149, 199 Let c = 10385 + -6123. List the prime factors of c. 2, 2131 List the prime factors of (-38)/(-247) - (-3434123)/143. 3, 5, 1601 Suppose -872679 = -79*k + 625556. List the prime factors of k. 5, 3793 Let z(l) = -5*l + 6. Let k be z(4). List the prime factors of 3/(-2)*(k*125)/7. 3, 5 Let f be 1983/21 + (-48)/112. Suppose 5*q - 7 = -17. Let m = f - q. What are the prime factors of m? 2, 3 Suppose 2*g + 11658 = 2*c, -11*g - 17467 = -3*c - 12*g. What are the prime factors of c? 2, 7, 13 Let d(b) = -1085*b - 2399. What are the prime factors of d(-16)? 3, 4987 Suppose -3*c + 1539 - 333 = 0. Suppose -c = -6*o - 0*o. Suppose 86 + o = h + 2*b, 0 = 4*h + 2*b - 642. List the prime factors of h. 163 Let t = -136 + 196. Let h = 76 - t. Suppose -7*m - 2*p + h = -5*m, 0 = -5*m + 2*p + 68. List the prime factors of m. 2, 3 Let v(c) = -2*c**2 - 402*c - 952. List the prime factors of v(-79). 2, 3, 509 Suppose -6*n + 1183 + 28475 = 0. List the prime factors of n. 4943 Let h = -385 - -418. Suppose 5*g - 8191 = 3*s, -h*g + 28*g + s + 8187 = 0. List the prime factors of g. 1637 Let o(c) = 289*c**2 + 5*c - 10. Let r(k) = k**2 - k. Let f(g) = o(g) - 6*r(g). What are the prime factors of f(1)? 2, 71 Suppose -4*u = 5*j - 8*j - 76, 5*j + 125 = 5*u. Let y(x) = -45*x - 190. List the prime factors of y(j). 2, 5, 89 Let t be (-1218)/(-252) - 2/(-12). Suppose 6*x - 8*x = -5*j - 2368, t*j - 3527 = -3*x. What are the prime factors of x? 3, 131 Let o = -20 + 7. Let p = o + 27. Let y(j) = j**3 - 13*j**2 - 11*j - 12. What are the prime factors of y(p)? 2, 3, 5 Let d = 156 + -154. List the prime factors of 449 - (1/(-3))/(d/(-30)). 2, 3, 37 Let l be (172/20 - 3) + (-3)/5. Suppose 5*u - f + 3*f = 4190, l*u + 5*f - 4205 = 0. What are the prime factors of u? 2, 11, 19 Suppose 4*x - 2*r = 601 + 1011, 0 = -x + 4*r + 417. Let n = x + -173. What are the prime factors of n? 2, 3, 19 Suppose -13862420 = -73*q - 147*q. List the prime factors of q. 13, 37, 131 Let c = -117 - -102. List the prime factors of (24/c)/(1/(-235)). 2, 47 Suppose -16 = -4*w + 2*i - 4, 5*w = 5*i + 25. Suppose 0 = c - w - 2. List the prime factors of 214/c*(-6)/(-4). 107 Let k(a) = 5 - 5 + a - 9 + 28*a**2. Let h be k(-7). Suppose -7*b - 5*b + h = 0. What are the prime factors of b? 113 Suppose -36*n = -38*n + 11046. Let r = -3733 + n. List the prime factors of r. 2, 5, 179 Let o = 16 + -11. Suppose -5*p + 2*q + 76 = -p, -o*q - 105 = -5*p. What are the prime factors of p? 17 Let s(i) = 692*i**2 - 5*i + 5. List the prime factors of s(3). 2, 3109 Let i(a) be the third derivative of -a**6/120 - 7*a**5/20 - 37*a**4/24 + 16*a**3/3 - 159*a**2. What are the prime factors of i(-19)? 13 Suppose 4*p - 5*f - 1303 = 0, -1660 + 27 = -5*p + 2*f. Suppose -5*c - 141 = 4*h - 1758, -c - 2*h = -p. List the prime factors of c. 3, 107 Suppose 0 = 4*k - 2*s - 6708, 2*k = -3*k - 5*s + 8340. List the prime factors of k. 2, 3, 31 Suppose 489 = 18*p + 93. Suppose -23*u + 401 = -p*u. List the prime factors of u. 401 Suppose 0 = -2*p + 4*o + 32, p + 6*o - 5*o - 25 = 0. Suppose 35*k - 4979 = p*k. List the prime factors of k. 383 Let q(f) = -3*f**2 + f + 1. Let i be q(1). Let c(h) = 273*h**3 - h**2 + h + 3. Let u be c(i). Let z = -186 - u. What are the prime factors of z? 2, 43 Let s(y) = -y**2 + 33*y - 17. Let l(d) = 2*d**2 - 67*d + 35. Let u(z) = -3*l(z) - 5*s(z). What are the prime factors of u(28)? 2, 3, 17 Let f(g) = 11*g**2 - 14*g - 124. List the prime factors of f(-15). 13, 197 Suppose 4*p = -2*w + 58772, w - 24*p + 23*p = 29398. Suppose -25*c + 7531 = -w. What are the prime factors of c? 7, 211 Let n = 28486 - 20185. What are the prime factors of n? 3, 2767 Let x be ((-4)/(32/348))/((-11)/88). Suppose x - 2372 = -2*c. List the prime factors of c. 2, 11, 23 Let z be (0 - 1) + -28*7/(-28). List the prime factors of (-424)/5*(-15)/z. 2, 53 Suppose -49*r + 32985 = -46*r - 864. What are the prime factors of r? 3, 3761 Suppose 0 = -5*l + u + 31663 + 21910, -2*l = 4*u - 21416. What are the prime factors of l? 2, 11, 487 Let q = 39318 - -616. What are the prime factors of q? 2, 41, 487 Let a be ((-290)/(-20))/(4/(-8)). Let t = a + 479. What are the prime factors of t? 2, 3, 5 Let v(o) = 14 - 29 - 4*o - 21. Suppose 3*g + 29 = a, -4*a - 4 = g + 23. What are the prime factors of v(g)? 2 Let j = 20 - 111. Let m = 169 - j. Suppose 5*s + m = 5*t, 4*t - 3*s - 208 = -2*s. List the prime factors of t. 2, 13 Suppose -5*d - 4*k + 24 = 0, 8 = 5*d - k - 11. Let f(t) = 6*t - 2. Let z be f(d). Suppose -l = -v - z, -2*l + 0*v + 5*v = -50. What are the prime factors of l? 2, 5 Let r(x) = 2508*x + 9357. What are the prime factors of r(12)? 3, 13151 Suppose -2*b - 449 = -3*b. Suppose b = 4*g - 495. Suppose 4*t - 448 = -4*y, 4*t - 3*t + g = 2*y. What are the prime factors of y? 2, 29 Suppose -8*w = -4*w - 4. Let a(f) be the first derivative of 191*f**3/3 - f**2 + 2*f - 19. What are the prime factors of a(w)? 191 Suppose -2 = 2*t, 4*m - 13 = 5*t - 0*t. Suppose -594 = -2*p + 4*b, 2*p = -5*b + m*b + 594. What are the prime factors of p? 3, 11 Let t = -15175 - -17578. List the prime factors of t. 3, 89 Suppose 31*b - 5*b = 156. Suppose 0 = -b*q + 2*q + 1576. List the prime factors of q. 2, 197 Let u be 2*(-7)/2*280/(-392). Let t = 828 + u. List the prime factors of t. 7, 17 Let q(m) = 966*m**2 + 23*m - 338. List the prime factors of q(7). 3, 11, 1429 Let p(q) = 5*q**3 - 2*q**2 + 2*q - 2. Let h be p(2). Suppose h = -2*b - 6. List the prime factors of (64/b)/((-4)/50). 2, 5 Let d(c) = 4*c**3 - 5*c**2 - 16. Let n = 372 - 366. List the prime factors of d(n). 2, 167 Suppose 3*j - h - 15 - 9 = 0, 0 = 4*h. Suppose -10*t + 668 = -j*t. List the prime factors of t. 2, 167 Let r(g) = -g**3 + 19*g**2 - 37*g - 2. Let w be r(15). Let s = w + -226. List the prime factors of s. 3, 13 Let p = -32 + 34. Let f = p + -2. Suppose f = -7*v - 2 + 23. List the prime factors of v. 3 Suppose -2*i - 5*t = -14562, 2*t + 10835 = 2*i - 3699. Suppose 0 = -18*o + 1675 + i. What are the prime factors of o? 7, 71 Let r(b) = -3560*b - 14. What are the prime factors of r(-2)? 2, 11, 17, 19 Let h = 21880 - 13487. Suppose -22*x + 33*x = h. What are the prime factors of x? 7, 109 Let z(d) = 10*d + 19. Suppose -14*j - 8*j = -286. What are the prime factors of z(j)? 149 Let d(v) = -v**3 + 9*v**2 - 3*v - 4. Let f(x) = 4*x + 19. Let a be f(-4). Suppose a*p - 9 = -n + 12, 2*p - 14 = -4*n. List the prime factors of d(p). 73 Suppose d - 2 = 0, -105*k + 4*d = -104*k - 6489. What are the prime factors of k? 73, 89 Let p be (1/(-2))/(3*8/(-10368)). Suppose -p*g = -222*g + 2214. List the prime factors of g. 3,
{ "pile_set_name": "DM Mathematics" }
s digit of q/(-3) - (-172)/12*7? 1 Let n be (-7 + 8)*(18/2)/1. Suppose 0 = n*o - 8*o + 4*u - 378, 0 = -5*u - 15. What is the units digit of o? 0 Let h be (-36)/(-17) + (-12)/102. Suppose -2*i + 2*u + 28 = 0, -h*i = -6*i - 2*u + 86. Suppose 5*x + i - 209 = 0. What is the tens digit of x? 3 Let c(y) be the first derivative of y**4/4 + 3*y**3 - 6*y**2 - 14*y - 8. Let d be c(-10). What is the units digit of 256/d + (-8)/(-6)? 4 What is the hundreds digit of 2765/(-70)*(-147 + 2 + -3)? 8 Let f = -14 - -402. Suppose 4*x = -5*i + 604, -3*x + 399 = 3*i - 54. Suppose w - x = -g, -4*g + 228 = -2*w - f. What is the tens digit of g? 5 Let z(r) = -19655*r - 4255. What is the units digit of z(-3)? 0 Suppose 3*i = g - 933 - 983, g = 5*i + 3194. Let b = -221 - i. What is the tens digit of b? 1 Let p(q) = 67*q**2 + 153*q - 1161. What is the tens digit of p(8)? 5 What is the tens digit of (-1 + -2167)*(-15)/4 - (955 + -955)? 3 Let h = 70 + -65. Let c be (-20)/(-60) - h*(-116)/(-3). Let j = c - -314. What is the hundreds digit of j? 1 Suppose -19*f = -185169 - 121301. What is the thousands digit of f? 6 Let x be (-12)/(4 + -1) - -9. Suppose -4*h - h = -x*n + 495, 2*h = 4. Let w = n - 47. What is the tens digit of w? 5 Suppose 4*f = -5*m + 19, 3*f = -3*m + f + 13. Let a(n) = 29*n**2 - 18*n + 7. What is the tens digit of a(m)? 0 Suppose 60778 = 12*a - 3698. What is the tens digit of a? 7 Suppose -156665 = 5*m - 10*m + 5*g, 3*m = g + 93993. What is the tens digit of m? 3 Let d(g) be the second derivative of 2/3*g**3 - 10*g + 0 + 0*g**2. What is the tens digit of d(5)? 2 Suppose -12*b + 8 = -8*b. Suppose -2*g - 4 = 5*t - t, 0 = -b*g + 4*t + 20. What is the units digit of g? 4 Let t = -2719 + 2601. Let b be 3224/(-14) - 2/(-7). Let a = t - b. What is the units digit of a? 2 Suppose -5*s + 6*k + 75460 = 11*k, -4*k - 15117 = -s. What is the units digit of s? 7 Let y = -367 - -370. Suppose -13*v + 18*v + 692 = y*q, 3*q - 683 = -4*v. What is the hundreds digit of q? 2 Let p(v) be the third derivative of -v**6/30 - 3*v**5/40 - 23*v**4/24 + 15*v**2. Let x(c) be the second derivative of p(c). What is the tens digit of x(-6)? 3 Let b = 62 - 62. Suppose -3*r - p = -97 - 727, b = -2*r - 4*p + 546. Let a = -194 + r. What is the tens digit of a? 8 Let o = 8 + -197. Suppose 3*k = -0*k + 4*l - 288, 0 = -l. Let d = k - o. What is the units digit of d? 3 Let i be ((-88)/(-33))/(2/3). Suppose -3*d + 2*x - 6*x + 47 = 0, 0 = -i*d - 3*x + 72. Suppose 0*w + w + d = 3*v, -2*w = 4*v - 18. What is the units digit of v? 6 Let i(j) = -j - 7*j**2 - 9 + 16*j**2 - 3*j + j**3. Let r be i(-7). Suppose -3*g + r = 9. What is the units digit of g? 6 Let w = 83848 + -31864. What is the hundreds digit of w? 9 Let a(k) = -k**3 - 2*k**2 - 2*k. Let o be a(-4). Suppose 5*p + m - 182 = 0, 0 = -5*p - 43*m + 47*m + 197. Suppose o*f - p*f = 141. What is the tens digit of f? 4 Suppose 0 = 2*k, -2*k - 3814 - 985 = -r. What is the hundreds digit of r? 7 Suppose 31*p - 49863 = 20*p. What is the thousands digit of p? 4 What is the tens digit of (4064/(-6))/(59/(26550/(-12)))? 0 Suppose -44032 = 19*i - 301102. What is the units digit of i? 0 Suppose 2*x - 4 = -2*u, -x = -4*x + 3. Let q(o) = 569*o - 1. Let y be q(u). Let i = y - 352. What is the hundreds digit of i? 2 Suppose -11*l + 59582 = -67539 + 3701. What is the thousands digit of l? 1 What is the hundreds digit of (-1)/(50/60 - 971411/1165668)? 5 Let y(g) = 1026*g**2 - g. Let j be y(2). What is the tens digit of j/8 + (-21)/12 + 2? 1 Let f(q) = -q**2 + 64*q + 64. Let n be f(35). Let s = n - 371. What is the units digit of s? 8 Suppose -26496 = -j + 47*j. Let z = 2024 + j. What is the units digit of z? 8 What is the hundreds digit of (14101/(-717))/(3/(-2826))? 5 Let g(r) = r**3 - 3*r**2 + 2*r + 2. Let l be g(2). Suppose -4*h - 3340 = h - l*q, -2*h + 4*q - 1336 = 0. What is the units digit of (h/(-20) + -7)/(1/10)? 4 Suppose -x = 3*s + 3, -4*x - 2 = -7*s + 9*s. What is the tens digit of s/(-3) + (-4830)/(-9) + -1? 3 Let d(x) = 63405*x**2 + 94*x - 97. What is the tens digit of d(1)? 0 Let k(v) = v**3 + 4*v**2 - 1. Let d be k(-3). Suppose 2*l = 3*l - d. Let r(j) = -j**3 + 8*j**2 + 2*j + 2. What is the tens digit of r(l)? 1 What is the tens digit of 22988/6*(-2070)/184*6/(-15)? 4 Let x(i) = 10 - 2*i + i**3 - 2*i**2 + 11*i**2 - 8 - 20. Let w be x(-9). Suppose 4*t - 116 - 4 = w. What is the tens digit of t? 3 Suppose -14*f - 1 + 29 = 0. Suppose 6 = -f*g, -g - 9 = -4*r + 14. Suppose 0 = 3*z + 3*l - 291, r*z + 0*l + 3*l - 479 = 0. What is the tens digit of z? 9 Let q = 33042 - 14155. What is the units digit of q? 7 Suppose 4*c = -4*w - 164, 72*c = 2*w + 69*c + 72. Suppose 0 = -2*v + o - 164, v - o + 141 = 59. Let n = w - v. What is the tens digit of n? 4 Let k(x) = 619*x - 22. Let l be (-28)/8*(-52)/91. What is the thousands digit of k(l)? 1 Suppose 4*n = -v + 200, 4*v + 172 = -n + 957. What is the hundreds digit of v? 1 Let n be -477 - ((-10)/(-5) + 0). Let c = -139 - n. Suppose -6*d + c = -2*d. What is the units digit of d? 5 Suppose 21936 = 5*m + 4*i - 51434, -44022 = -3*m + 5*i. What is the tens digit of m? 7 Let f be ((-786)/(-8) - -1)*(-9 + 5). Let h = 582 + f. Suppose 3*t - 4*w - 310 = h, t - 4*w - 173 = 0. What is the units digit of t? 1 Let d(v) = -371*v - 144. What is the units digit of d(-28)? 4 Let n = 470 - 1058. Let r = 300 + n. Let o = r - -410. What is the units digit of o? 2 Let z(t) be the first derivative of -19*t**2 + 18*t - 28. Let j be z(-8). Let l = 516 - j. What is the hundreds digit of l? 1 Suppose -3*d = 3, -5*b - 3*d + 50 + 2 = 0. Suppose 8541 = 20*h - b*h. What is the hundreds digit of h? 9 Let n(k) = -k**2 + 8*k - 5. Let l be n(6). Suppose -x + 45 = l. What is the tens digit of x? 3 Let p be 22 - 4 - (2 - 8). Suppose -32*x = -p*x - 4512. What is the hundreds digit of x? 5 Let t be (((-168)/(-15))/1)/(9/(-180)). Let i = t - -804. What is the units digit of i? 0 What is the tens digit of 16725/2 + 378/84? 6 Let x = 3338 - 1716. What is the thousands digit of x? 1 Suppose -7*g - 99 = -16*g. Let j = 13 - g. Suppose -j*z = -12 - 12. What is the units digit of z? 2 Let m(i) = -i**3 - 3*i + 377. Let h be m(0). Suppose h - 4202 = -17*j. What is the units digit of j? 5 Suppose 3*u - c - 16456 = -0*u, -u - 5*c = -5480. Let g = 27 + -23. What is the hundreds digit of g/14 - u/(-35)? 1 Suppose 2*g + 4*q - 48206 = 0, 4*g + 4*q = 7*g - 72379. What is the hundreds digit of g? 1 Suppose -2*f + 4*h + 1 = -17, f - h = 6. Suppose -6*u + 15 = -f*u, 4*u + 215 = z. What is the units digit of z? 5 Let c = 4374 - 3470. What is the hundreds digit of c? 9 Let o = 57 - 52. Suppose o*l - j = -4*j + 387, 4*l = j + 296. What is the units digit of l/27 + (-6)/(-27)? 3 Let r(g) be the third derivative of g**5/15 + 31*g**4/12 - 19*g**3/6 - 88*g**2. What is the tens digit of r(-22)? 5 What is the thousands digit of 1275 + (-12 + 18)*1/1? 1 Let y be 866/9 + 4/(-18). Let k = -1058 - -1060. Suppose -381 = -5*p - 4*c, p = k*c + y - 17. What is the tens digit of p? 7 Suppose -9 = -7*f + 6*f. Suppose f*g - 3*g = -48. What is the tens digit of (g/18)/2 + (-14950)/(-207)? 7 Suppose 0 = -69*k + 76*k - 497. Suppose 0 = k*a - 78*a + 1463. What is the tens digit of a? 0 Let c(q) = 3*q**2 - 61*q - 1281. What is the thousands digit of c(89)? 7 Suppose -2*u = 5*v - 48, 4*v - 5 = -4*u + 31. Suppose -v*s + 1429 = -9*s. What is the thousands digit of s? 1 Let g(p) = p**2 - p + 8. Let f be (-13 - -9)*((-21)/(-2))/3. Let v be 105/f - 6/(-4). What is the tens digit of g(v)? 5 Let r(w) = 103*w**3 + 25*w**2 + 13*w - 114. What is the hundreds digit of r(8)? 3 Suppose -2*k = -2*m - 8, -2*m + 5 = k - 11. Let x(z) = 35*z - 9. What is the tens digit of x(k)? 7 Let p = 59 + -60. Let r be p*(-1 - 401 - -4). Let k = -145 + r. What is the tens digit of k? 5 Let h be 2/(-6) + 50/6. Let j = -1601 + 1658. Suppose -3*z + d = -j, 95 = -3*z + h*z + 5*d. What is the tens digit of z? 1 Suppose -l = -28*d + 30*d - 163442, -4*d + 326884 = -2*l. What is the hundreds digit of d? 7 Suppose 2*j + 136*j - 770220 = 6*j. What is the tens digit of j? 3 Let f be 46/10 + 1 + 58/145. Suppose -352 = -0*k - k. Suppose k + 374 = f*g. What is the tens digit of g? 2 Let q(s) = -4*s - 21. Let m be q(-14). Let n = -27 + m. Sup
{ "pile_set_name": "DM Mathematics" }
z + n*z**2 + y = 0 for z. 7 Let q(o) be the second derivative of -o**7/273 + 11*o**6/195 - 21*o**5/65 + 34*o**4/39 - 40*o**3/39 - 316*o. Find i, given that q(i) = 0. 0, 2, 5 Let d(z) be the second derivative of -1/231*z**7 + 3/11*z**4 - 4/165*z**6 + 0*z**2 + 3/110*z**5 + 0 + 0*z**3 + 47*z. Factor d(n). -2*n**2*(n - 2)*(n + 3)**2/11 Let t(x) be the first derivative of 1/3*x**4 + 41 + 170*x**2 - 44/3*x**3 + 1156/3*x. Factor t(y). 4*(y - 17)**2*(y + 1)/3 Let b(v) be the third derivative of -v**8/1344 - 3*v**7/140 - 31*v**6/480 + 3*v**5/40 + v**4/3 + 2*v**2 + 75*v. Solve b(w) = 0 for w. -16, -2, -1, 0, 1 Suppose 815*j = 809*j. Let s(p) be the third derivative of -23*p**2 - 1/90*p**5 + 0 + 1/9*p**4 + j*p**3 + 0*p. Determine w, given that s(w) = 0. 0, 4 Let u be -2*(9 - (-70)/(-7)). Factor -2*a**u + 24084 + 4*a**2 - 11284 - 320*a. 2*(a - 80)**2 Let x(r) be the third derivative of r**5/480 + 27*r**4/16 + 161*r**3/12 - 2070*r**2 - 2. Determine i so that x(i) = 0. -322, -2 Let c(f) = -5*f**2 - 125*f - 40. Let q(v) = -v + 2. Let j(g) = -c(g) - 20*q(g). Let j(p) = 0. What is p? -29, 0 Let l(t) be the first derivative of 5*t**6/3 + 1756*t**5/35 + 3153*t**4/14 + 6308*t**3/21 + 76*t**2/7 - 48*t - 795. Find n, given that l(n) = 0. -21, -2, -2/7, 1/5 Let y(t) be the second derivative of -5/12*t**4 - 17*t - 2 + 55/2*t**2 - 25/3*t**3. Suppose y(z) = 0. Calculate z. -11, 1 Let s(j) = 2*j**3 - 32*j**2 + 285*j - 264. Let o(x) = 3*x**3 - 31*x**2 + 284*x - 268. Let y(w) = -3*o(w) + 4*s(w). Factor y(q). -(q - 6)*(q - 1)*(q + 42) Let v be (-3614)/13*9 - -12. Let a = v - -2494. Find h, given that 7/5 - 34/5*h**2 + 3/5*h**a + 16/5*h**3 + 8/5*h = 0. -7, -1/3, 1 Let h = 103178 - 103176. Let 32/7*q**4 + 48/7*q**3 - 12/7*q + 2/7 + 2/7*q**h = 0. What is q? -1, 1/4 Let s(z) = 4 + 6*z + 2 + 7*z**2 - 9*z**2 + 4*z**2. Let o be s(-2). Let -q**3 - 12*q**5 - 9*q**5 - 3*q**4 + 20*q**5 + 3*q**o + 2*q = 0. Calculate q. -2, -1, 0, 1 Let h(w) be the first derivative of -91*w**3/15 - 44*w**2/5 + 3*w/5 - 9825. Factor h(t). -(t + 1)*(91*t - 3)/5 Let 5117*q**2 - 3702*q**2 + 120319 - 20914 + 100815*q + 5*q**3 = 0. Calculate q. -141, -1 Let b(n) be the second derivative of -2*n**7/315 + 2*n**5/45 - 2*n**3/9 - 31*n**2/2 + 15*n - 1. Let z(x) be the first derivative of b(x). What is v in z(v) = 0? -1, 1 Let a = 667/30 + -137/6. Let q = -13/30 - a. Factor 1/3*r + 0 - q*r**2. -r*(r - 2)/6 Let r be 3/(-21)*(-28 + 28). Let q(h) be the third derivative of 0*h**6 + 16*h**2 + 0*h + 0*h**4 - 1/45*h**5 + 1/315*h**7 + r + 1/9*h**3. Solve q(o) = 0. -1, 1 Let l be ((-157486)/(-28926))/((-14)/(-12)). Factor -4/3*v**3 + 0 + 0*v + 0*v**2 + l*v**4 - 10/3*v**5. -2*v**3*(v - 1)*(5*v - 2)/3 Let h(w) = 2*w**2 - w - 1. Let f(y) = -7*y**2 - y - 2. Suppose 33 = -14*n + 19. Let x(j) = n*f(j) - 4*h(j). Factor x(k). -(k - 6)*(k + 1) Suppose 6*v + 145 = 175. Factor -19*g - 38*g + 12*g + 21 + 49 + v*g**2. 5*(g - 7)*(g - 2) Let q = -231305 + 925223/4. Factor -q*b**3 + 27/4*b + 21/2 - 9/2*b**2. -3*(b - 2)*(b + 1)*(b + 7)/4 Let w(a) be the third derivative of a**8/80640 + a**7/20160 + 13*a**5/30 + 2*a**2 + 64. Let r(b) be the third derivative of w(b). Factor r(d). d*(d + 1)/4 Let t(p) = -16*p**2 - 11*p. Let g(v) = 15*v**2 + 12*v. Let x(l) = -23*l - 17*l + 43*l - 12. Let m be x(6). Let s(y) = m*t(y) + 5*g(y). Factor s(z). -3*z*(7*z + 2) Let l = 70 + -67. Let g be (-2)/9 + 418/99. Factor -l + n**5 + n - 946*n**2 + 6*n**3 + 3 + g*n**4 + 950*n**2. n*(n + 1)**4 Suppose 2763*l = 3234*l - 942. Factor 0 - 4*r - 2/3*r**4 + 4/3*r**3 + 10/3*r**l. -2*r*(r - 3)*(r - 1)*(r + 2)/3 Suppose -9*g + 16 + 2 = 0. Factor -1 + 3 + 3*r - 7*r**2 + 1 + 3*r**4 - 6*r**3 + 3*r**5 + r**g. 3*(r - 1)**2*(r + 1)**3 Let l(v) = -6*v**2 - 68*v + 41. Let d(k) = -21*k + 18. Let r(a) = a**2 - 41*a + 38. Let c(s) = -5*d(s) + 2*r(s). Let w(g) = 11*c(g) + 4*l(g). Factor w(b). -(b + 10)*(2*b - 1) Let d be (36/15)/(26 + 196/(-14)). Determine j, given that -d*j**2 + 4/5 + 0*j = 0. -2, 2 Solve 4/5*t**2 + 1008/5 - 132/5*t = 0. 12, 21 Let x(u) be the third derivative of -u**7/42 - 49*u**6/24 - 176*u**5/3 - 3025*u**4/6 - 365*u**2 - 3. Factor x(y). -5*y*(y + 5)*(y + 22)**2 Let v(k) = -k**4 + 3*k**3 - k**2 - k - 1. Let b(d) = d**4 + 75*d**3 - 234*d**2 + 158*d + 2. Let p(o) = -5*b(o) - 10*v(o). Solve p(f) = 0. 0, 1, 2, 78 Let m be (-441)/(-476) + 402/1608. Find t, given that -22/17 - m*t + 2/17*t**2 = 0. -1, 11 Let i be (12 - ((-464)/(-36) - 3)) + 3/(-3). Let l(m) = -m + 1. Let c be l(-1). Find a, given that i*a + 2/9*a**3 + 4/9 + 8/9*a**c = 0. -2, -1 Let y = -108 - -114. Suppose 15*g**3 - 6*g**4 - 2*g**5 + y*g**2 - 18*g**5 + 8*g**5 - 3*g**5 = 0. Calculate g. -1, -2/5, 0, 1 Let i(k) be the second derivative of k**8/26880 + k**7/10080 - k**6/720 - k**5/120 - 19*k**4/2 + 2*k + 7. Let c(h) be the third derivative of i(h). Factor c(a). (a - 2)*(a + 1)*(a + 2)/4 Let u(v) be the first derivative of v**3/5 + 705*v**2 + 828375*v - 1758. Factor u(d). 3*(d + 1175)**2/5 Find y, given that y**2 + 0 + 271/2*y = 0. -271/2, 0 Let n(k) be the first derivative of 14*k**3/9 - 10*k**2/3 - 48*k + 3049. Let n(x) = 0. What is x? -18/7, 4 Suppose 0 = 3*y - 15, -2*n = 3*y - 36 + 13. Let f(c) be the third derivative of 1/2*c**3 - 5*c**2 + 1/40*c**5 - 3/16*c**n + 0 + 0*c. Solve f(p) = 0. 1, 2 Suppose -85*p = -28*p - 684. Factor -p*x**3 + 6*x + 28*x + 10*x - 30 - 2*x**4. -2*(x - 1)**2*(x + 3)*(x + 5) Let f(w) be the second derivative of w**7/14 - w**6/30 - 3*w**5/4 + 5*w**4/12 + 2*w**3 - 2*w**2 + 104*w + 1. Let f(a) = 0. Calculate a. -2, -1, 1/3, 1, 2 Suppose -3/2*b**4 + 1863/2*b - 2343/2*b**2 + 165/2*b**3 + 2187 = 0. Calculate b. -1, 2, 27 Suppose -n + 4*c = c - 39, 3*n + 3*c - 69 = 0. Suppose 4*q + 10 = 4*m - 18, n = m - 5*q. Factor 8*p**2 - 5*p - 1102 + m*p**2 + 1072. 5*(p - 2)*(2*p + 3) Let w = 4147 + -2401. Let u = 1748 - w. Factor 32/3*g + 2/3*g**u + 128/3. 2*(g + 8)**2/3 Let k(a) = 6*a**3 - a**2 - a. Let y be k(2). Let c = -39 + y. Factor 20*j**3 - 17*j**3 - 20 - 12*j**4 + 9 + 30*j**2 - 13 - 12*j + c*j**5. 3*(j - 2)**3*(j + 1)**2 Let h = 1509/262 + 1204971/3406. Let a = 360 - h. Let -2/13*x**2 - a + 8/13*x = 0. What is x? 1, 3 Let t be 105/(-140)*(-32)/(-30) - 82/(-65). Suppose 0 = -x, 4*d - 3*d - 4*x = 2. Factor t - 2/13*n**d - 4/13*n. -2*(n - 1)*(n + 3)/13 Let d(t) = 2*t**2 - 28*t. Suppose x + 4*c = -x + 28, 7 = -2*x + 3*c. Let l(p) = -p**2 + 15*p. Let g(j) = x*d(j) + 7*l(j). Factor g(r). r*(r - 7) Let s be (-15 + 627/38)/(0 - (-3)/54). Let i(g) be the first derivative of -5/6*g**3 + 0*g + 1/8*g**4 + g**2 + s. Factor i(b). b*(b - 4)*(b - 1)/2 What is c in 654165538/9 + 1378/3*c**2 + 2/9*c**3 + 949442/3*c = 0? -689 Let r(t) be the first derivative of -2*t**5/55 - 16*t**4/11 - 350*t**3/33 + 1476*t**2/11 + 3240*t/11 - 79. Solve r(o) = 0 for o. -18, -1, 5 Suppose -18*h + 5 = -17*h. Let l(v) = 138*v - 690. Let z be l(h). Factor z*u + 2/3 - 2/3*u**2. -2*(u - 1)*(u + 1)/3 Let g be ((-20)/(-15))/((-4)/(-558)). Suppose -13*s - 30 = -g. Factor 14 - 6 - 5 - 8*o**2 - 7 + s*o. -4*(o - 1)*(2*o - 1) Let z(i) be the first derivative of i**3/3 + 1050*i**2 + 1102500*i + 7935. Factor z(j). (j + 1050)**2 Let t be 30/(-231) - (-297)/1089. Factor -t*p + 2/7 - 1/7*p**2. -(p - 1)*(p + 2)/7 Let s = -301/2 - -3319/22. Let c(h) = -8*h - 86. Let i be c(-11). Factor 6/11*u**i - 10/11 + s*u. 2*(u - 1)*(3*u + 5)/11 Let v(p) = 151*p**2 - 4*p - 69. Let t be v(-7). Find o such that -16*o - 4*o**3 - 54*o - 7310 + t + 6*o + 28*o**2 = 0. 2, 3 Let c(k) = -k**3 + 22*k**2 + 86*k - 77. Let y be c(26). Let l = -3811/7 - y. Factor 0*i - l*i**3 - 2/7*i**2 - 2/7*i**4 + 0. -2*i**2*(i + 1)**2/7 Let q(o) be the first derivative of -5*o**6/18 + 137*o**5/6 + 585*o**4/8 + 1415*o**3/18 + 355*o**2/12 - 2407. Let q(s) = 0. What is s? -1, -1/2, 0, 71 Let k(q) be the second derivative of -q**4/28 - 47*q**3/14 + 81*q**2 + 2*q - 2054. Determine n, given that k(n) = 0. -54, 7 Let r(u) be the second derivative of u**4/42 - 2*u**3/7 + 8*u**2/7 - 262*u - 2. Factor r(f). 2*(f - 4)*(f - 2)/7 Let c be ((-2268)/(-1470))/(45/42). Let t(l) be the first derivative of 2 + 3/5*l - c*l**5 - 13/5*l**3 + 15/4*l**4 - 3/10*l**2. Solve t(q) = 0. -1/4, 1/3, 1 Let t(i) = -22*i**2 + 3258*i + 3052. Let y(x) = 47*x**2 - 6549*x - 6102. Let r(u) = -13*t(u) - 6*y(u). Suppo
{ "pile_set_name": "DM Mathematics" }
). Calculate the greatest common factor of o and 14. 2 Let b = -30 + 9. Let v = b - -24. Suppose -3*p - 192 = -3*a, 4*a + v*p - 2 = 289. Calculate the highest common divisor of a and 23. 23 Let c(g) = 116*g + 3. Let r be c(1). Calculate the highest common factor of 7 and r. 7 Let u(w) = 12*w**2 - 29*w + 33. Let p be u(10). Calculate the greatest common divisor of 23 and p. 23 Let n(j) = 19*j + 4. Let a be n(4). Let d be 2/12 - (-14 - -14) - (-177)/18. What is the highest common factor of a and d? 10 Let z(x) = 373*x - 475. Let d be z(4). Calculate the highest common factor of 226 and d. 113 Suppose 0 = -4*b - 3*j + 141, -10*j = -2*b - 12*j + 68. What is the greatest common factor of 429 and b? 39 Let q(a) = 69*a - 668. Let i be q(12). What is the greatest common divisor of 224 and i? 32 Let m be (-57)/(-133) + (2 - 1982/(-14)). What is the highest common factor of 32 and m? 16 Suppose -4*m - 2*i + 232 = 0, -2*i + 29 = 3*m - 143. What is the greatest common divisor of 180 and m? 60 Suppose 5*l = -4*s + 74, s - 25 = -2*l - 5. What is the greatest common divisor of 144 and s? 16 Let d(q) = -55*q - 107. Let g be d(-2). Calculate the greatest common divisor of 16 and g. 1 Let n be 30/(-9*(-21)/36 + -5). What is the greatest common divisor of 220 and n? 20 Let z = 1024 - 898. What is the greatest common factor of 420 and z? 42 Suppose -2*k - 5*h + 227 = 0, -272 = -k - k + 4*h. Let b = 190 - k. Calculate the greatest common factor of 32 and b. 32 Suppose 3*r + 2*r = 25. Suppose -1020 = -r*w - 0*w. Let c be w/18*(-1 - -16). What is the greatest common divisor of c and 17? 17 Suppose 8*y = 6*y + 38. Suppose 0 = -i - 4*i + 2*o + 541, -553 = -5*i - 4*o. Let m = i - y. Calculate the highest common factor of 18 and m. 18 Let m be (0 + -162)*363/(-99). What is the highest common factor of 54 and m? 54 Let b(o) = -o**2 + 7*o - 7. Let i be b(4). Suppose 2*d = -4*k + 1050, -64 = k + i*d - 313. What is the highest common factor of k and 24? 24 Let r be 0/2*(-5)/10. Suppose r = -2*u + 11 + 23. Calculate the highest common factor of 34 and u. 17 Let u = -911 + 1019. Suppose -2*k - 5*p - 8 + 42 = 0, k = 2*p + 35. What is the highest common divisor of k and u? 27 Let a(j) = 10*j**2 - 15*j + 60. Let k be a(4). What is the greatest common factor of 96 and k? 32 Let g = -1113 + 1146. Let z(w) = -3*w. Let b be z(-1). Calculate the highest common factor of g and b. 3 Let v be (0 - 1)/((-22)/1078). What is the highest common divisor of v and 343? 49 Suppose -w = -4, -5*v + 64 = -0*v - 4*w. Suppose 0 = -18*u + v*u + 160. Calculate the highest common divisor of u and 10. 10 Suppose -2*x - 11 = -5*v, 5*x + 0 - 1 = 3*v. Suppose x*l - l = -8. Let d be 837/4 - (-2)/l. Calculate the greatest common factor of 19 and d. 19 Suppose 30*k = 41 - 11. What is the highest common divisor of k and 1? 1 Suppose 5*v - 26 = -3*c, -2 = 2*c - 3*c + 5*v. Let m = 9 - c. Suppose 0 = 2*z + m*z - 120. What is the greatest common divisor of 6 and z? 6 Suppose 5*g = 20, 2*z + 0 = 3*g - 4. Suppose 3*t - 54 = 3. Let d = t - 7. What is the greatest common divisor of d and z? 4 Suppose 2*y - 8 = 0, 11 = v + 3*y - 41. What is the greatest common factor of 220 and v? 20 Let z(g) = -13*g - 531. Let u be z(-47). Calculate the greatest common divisor of 640 and u. 80 Let g be ((-4)/(-6) - 978/(-18)) + 5. What is the highest common divisor of g and 80? 20 Let m be (-3 + -7)*27/(-2). Let r be (-6)/((-3)/(-1)) - 29/(-1). What is the highest common divisor of r and m? 27 Let x(h) = -2*h**3 + h**2 - 4. Let m(y) = y**3 + 2. Let a(v) = 9*m(v) + 4*x(v). Let b be a(-4). Calculate the greatest common divisor of 5 and b. 1 Let q be -6 + (-77)/(-7) + 39. Calculate the highest common divisor of 330 and q. 22 Let p be (1432/(-24) - 1)/(1/(-3)). Calculate the greatest common divisor of 26 and p. 26 Let a = 72 + -71. Suppose -2*n + 1 = -1. What is the highest common factor of a and n? 1 Suppose -7*d = -44 - 40. Calculate the highest common divisor of d and 156. 12 Let b = -77 - -53. Let d = -16 - b. Calculate the greatest common divisor of d and 32. 8 Suppose -3*a - 387 = -12*a. Let f = a + -29. Let v = -5 + 47. Calculate the highest common factor of v and f. 14 Suppose n - 246 = 2*c, -1039 = -3*n - n - 3*c. What is the highest common factor of 8 and n? 8 Let x(d) = -2*d**2 + 11*d - 13. Let i be x(-14). Let t = i - -856. What is the greatest common factor of 27 and t? 27 Let a be 106/(-8) - (-14)/56. Let o = a + 24. What is the greatest common factor of o and 55? 11 Suppose 15*y - 180 = -0*y. Suppose 10*i - y = 68. Let j be (4/10)/(5/150). What is the highest common factor of j and i? 4 Let r be (-5882)/(-8) + -4*(-9)/48. Calculate the highest common divisor of r and 16. 16 Let q be 1/(-7) - 312/21. Let y = q - -27. What is the highest common divisor of 6 and y? 6 Let j(i) = i**2 + 3*i + 1. Let x be j(-4). Suppose -9*w + 4*w + x = 0. What is the highest common divisor of w and 1? 1 Let m = -824 + 827. Calculate the greatest common factor of m and 39. 3 Suppose -43*r + 46*r - 27 = 0. Suppose 15 = 5*g + 3*o, o - 6*o - 1 = 4*g. Calculate the highest common divisor of g and r. 3 Let u(i) = -97*i - 519. Let o be u(-6). What is the greatest common factor of 56 and o? 7 Let m(d) = 7*d - 11. Let v be m(5). Let r = 102 - 72. Suppose -4*a = -4*k + v, 5*k = -a - 2*a + r. Calculate the highest common factor of k and 2. 2 Suppose 102 = u + 5*a, 2*u + 228 = 4*u + 2*a. Let m = 19 + -6. Suppose -8*t + 7*t = -m. Calculate the highest common factor of t and u. 13 Suppose 0*s = -12*s + 324. Suppose -q + 37 = s. What is the greatest common divisor of 10 and q? 10 Suppose 5*j + 165 = -180. Let x = j + 157. Calculate the highest common divisor of 8 and x. 8 Let y(g) = 307*g**2 + 4*g + 9. Let t be y(3). Calculate the greatest common factor of t and 87. 87 Let v(w) = w**3 - w**2 + w + 28. Let x be v(0). Suppose -5*s + x = -97. Calculate the highest common divisor of s and 225. 25 Suppose -2*g + 21 = -99. Let a = 87 - g. Suppose 2*k - a = k. What is the highest common divisor of k and 18? 9 Suppose -55 = -3*c - 3*z + 17, -2*c + z + 33 = 0. Let s = -190 - -323. Calculate the highest common divisor of c and s. 19 Suppose -5*s = 3*s - 40. Calculate the highest common factor of 5 and s. 5 Let l(n) = -n**2 + 7. Let z be l(-3). Let u be z/7 + (-3542)/(-49). What is the highest common divisor of 24 and u? 24 Let h = -29 - -16. Let u = 17 + h. Suppose 3*z + 8 = 4*z + u*f, -4*z - 5*f = -43. Calculate the greatest common divisor of z and 24. 12 Suppose -6*l = -2*l - 4. Let d = l + 11. Calculate the greatest common divisor of d and 30. 6 Suppose 0 = 6*n - 2*n + 12. Let c(v) = -6*v**3 - 4*v**2 + v + 3. Let i be c(n). What is the greatest common divisor of i and 18? 18 Suppose -4*a = i + 441, 3*i = -i + 12. Let c = -61 - a. Calculate the highest common factor of 125 and c. 25 Suppose -5*r - 24 = -r. Let b(p) = -p - 11. Let a(f) = f + 11. Let j(z) = r*b(z) - 5*a(z). Let q be j(-8). Calculate the highest common divisor of 33 and q. 3 Let d(v) = -v**2 - 7*v + 4. Suppose 4*j + 2 + 26 = 0. Let p be d(j). What is the highest common factor of 8 and p? 4 Let d(n) = -n**2 + 18*n - 13. Let j be d(17). Suppose -z - 3*i + 6 = 0, j*z - i - 59 = -6*i. What is the greatest common factor of 42 and z? 21 Let c(z) = -z + 4. Suppose 0 = 7*j - 9*j - 12. Let w be c(j). Let g(r) = 2*r**2 - 2. Let d be g(-4). Calculate the greatest common factor of d and w. 10 Let g(v) = v**3 - 4*v**2 - 2*v - 1. Let f be g(5). Let d be 9/3 + 4*(-906)/(-24). Calculate the highest common divisor of d and f. 14 Let j(t) = 22*t - 9. Let b be j(9). Suppose k = -6*k + b. What is the highest common factor of k and 27? 27 Suppose 926 = 31*w + 120. Calculate the greatest common divisor of w and 26. 26 Let a = 4 + 68. Suppose 3*n - 50 = -4*s, 2*n - 4*s = a - 12. Let i = 1 + 1. What is the greatest common factor of i and n? 2 Let i = 9 + -7. Suppose -3*u - 4*o = o - 86, o = i*u - 40. Calculate the greatest common factor of u and 55. 11 Suppose 14*n - 83*n + 5796 = 0. What is the greatest common factor of n and 336? 84 Let f(p) = p**3 - p**2 - p - 1. Let k be f(2). Let x be (-140)/(-5) - k*2. Calculate the greatest common divisor of 104 and x. 26 Let q(k) = -k**2 + 20*k - 1. Let a be q(11). Let v = a + -58.
{ "pile_set_name": "DM Mathematics" }
9 = 3*s + 352. Calculate the common denominator of 5/20 + (-11)/(-1) and l/(-22)*(-6)/12. 44 Let t be (3 - (-50)/(-15))*0/2. What is the common denominator of (-3)/(-9) - (543/(-342) + t) and 23/8? 152 Let m be 1 + (-7812)/(-15) + -1. Let r = -36711/70 + m. What is the common denominator of 17/10 and r? 70 Suppose 2*s + 3*x = 27, -2*s + 2*x = 4 - 6. What is the smallest common multiple of 33 and s? 66 Let a be (2 - 2) + (-8)/2. Let y(p) = 5*p**2 + 4*p + 2. Let i be y(a). What is the common denominator of (-228)/i + (-2)/(-1) and 99/10? 110 Let n(c) = -c**2 + 12*c - 32. Let q(r) = -r**2 + 13*r - 32. Let a(p) = -2*n(p) + 3*q(p). What is the smallest common multiple of 14 and a(12)? 28 Let l = -18231/5 - -3658. Calculate the common denominator of ((-1464)/(-108) + -10)*-2 and l. 45 Let q(z) = -z - 9. Let d be q(-9). Suppose d = -4*a + 6*a - 10. What is the least common multiple of 11 and a? 55 Suppose 0 = -j + 2*b + 2, -2*j - 2*b + 4 = 3*b. Let g be (1/(-18))/(j/116222). Let y = g + 3224. What is the common denominator of y and 145/12? 36 Let p = 1922 + -1904. What is the least common multiple of p and 118? 1062 Let p = -4209832/7023081 + -602/5809. Let j = 14/47 - 1255/4371. Let i = p + j. Calculate the common denominator of -27/2 and i. 26 Let d = -1/1610181 - -120375521389/16101810. Let o = d - 7470. What is the common denominator of ((-2)/(-4))/(3/3) and o? 10 What is the common denominator of -17/162 and 20/(-18) + 9800/2772? 1782 Let h = 1/122 - -1523/244. What is the common denominator of 25/9 and h? 36 Let k be -68794*((-10)/48)/1. Suppose -l + 2*l = 3*h - 43019, 5*l = 20. Let w = h - k. Find the common denominator of w and 15/16. 48 Let u = 5 - 0. Suppose 5*j = 5*o - 4 - 21, 0 = u*o - j - 25. Suppose q = 3*c - 33 - 14, -o*c - 3*q + 83 = 0. What is the lowest common multiple of c and 14? 112 Suppose 3 = -3*i + 12. Let v(y) = 5*y**2 - 9*y + 2. Calculate the smallest common multiple of v(i) and 20. 20 Suppose 3*g = -4*j + 38, 2*g + 15 - 2 = 5*j. Let a = g + -16. What is the common denominator of (8/4)/(a/52) and -22/7? 35 Let s(m) = 6*m**3 - 3*m**2 - 4*m + 8. Calculate the least common multiple of 6 and s(2). 36 Calculate the least common multiple of ((-8348)/(-56) - 2) + (-2)/28 and 10. 1470 Let s(w) = -w**3 + w**2 - 1. Let a be s(-2). Let l be 1/2*(a + -9). What is the lowest common multiple of -3*(l + -2) + 3 and 22? 66 What is the common denominator of -17/99 and 2896/1872 - (-3 - -5)? 1287 Suppose -4 = -4*z, -11 = -3*g + 2*z + 14. What is the smallest common multiple of g and ((-5)/(-15))/((-5)/(-225))? 45 Suppose 5*b + 3625 = -3*w + 2*w, -3585 = w - 3*b. Let x = -57627/16 - w. What is the common denominator of x and 73/40? 80 Suppose -5*w = 2*q + 1, -2*w = -2*q + 2*w + 26. Suppose q*c = 8 + 6. Calculate the least common multiple of 2 and c. 2 Suppose -6*o = 35 + 1. Find the common denominator of 1/o*3 + (-243)/(-78) and 41/3. 39 Let w(i) = i**3 - 3*i**2 - 4*i + 5. Let a be w(4). Suppose -c - 21 = a*x, 51 = -2*c - c - 3*x. What is the common denominator of 18 and (-18)/(-88) - (-12)/c? 11 What is the common denominator of (-7)/(-2) - (-2 - (-77)/44) and -67/40? 40 Let j(r) = -r**3 - 10*r**2 - 14*r + 18. Let z be j(-8). Suppose -5*q = -z*c + 94, -5*c - 6*q = -2*q - 268. Calculate the smallest common multiple of c and 4. 52 Let u = 1/1980 + -50491/1980. Find the common denominator of u and 6/(4/(-28) + (-44)/(-28)). 10 Calculate the smallest common multiple of 9 and (5 + 16)/((-3)/(-1)). 63 Let b(k) = -8*k - 6 + 5 + 7 - 15*k. Let y(g) = 8*g - 2. Let a(r) = 3*b(r) + 8*y(r). Calculate the least common multiple of 16 and a(-4). 176 Let m = 2/1293 + -1403/71115. Let l = m + 279/220. What is the common denominator of -113/20 and l? 20 Suppose -2*o = -229 - 3. Suppose 0 = t - 4*j + o, -2*j = 5*t + 147 + 323. What is the lowest common multiple of 3/(-2)*t/18 and 10? 40 Let r = 2 + -1. Let l be (6/(-5))/(27/270). Calculate the least common multiple of r*-3*4/l and 8. 8 Let k(t) = t**2 + 9*t + 11. Let n(a) = -a**2 - 15*a - 49. What is the least common multiple of k(-9) and n(-9)? 55 Suppose 7*h - 106 - 55 = 0. What is the least common multiple of h and 5? 115 Let v = 60637/42 + -4322/3. Suppose -2*y + 5*y = 0. Find the common denominator of v and ((-249)/36 + y)/(-1). 84 Suppose -2*m + 4*b - 47 = -m, 0 = 4*m - 2*b + 118. Let n = -21 - m. Suppose -42 = 3*p - n*p. What is the smallest common multiple of 8 and p? 56 Suppose -5*i = 3 + 7. Let x be (-17681)/6 + i/6. Let s = x - -2958. Calculate the common denominator of 13/7 and s. 42 Let l = 755275/294 - 2569. Find the common denominator of l and -61/6. 294 Let p = 32 - -12. Let q = -15171/20 + 758. What is the common denominator of 7/(-6)*36/p and q? 220 Let j = -25 - -28. Suppose 2*t = j*t - 6. Suppose 5 = 3*g - p, g + p - t = -3. What is the lowest common multiple of 6 and g? 6 Let g be (2 - 2)/(-4 - -2). Let a(n) = 5*n + 10. What is the least common multiple of a(2) and g + 30/3 - 0? 20 Let m be (-1)/(-5) - (-10)/(-50). Suppose -3*c - 2*s + m = 98, -c = -3*s + 40. Calculate the common denominator of -77/6 and c. 6 Let q = 1920 + -1848. What is the least common multiple of 232 and q? 2088 Let d = -1739/196 - 1/392. Calculate the common denominator of (-9)/((-90)/(-47)) + 5 and d. 40 Calculate the smallest common multiple of (14 + (-10)/5)/(-5 + 7) and 6. 6 Let t = 805 + -424. Suppose 2*k - t = k. Calculate the common denominator of 3/8 and k/72 + (-2)/(-6). 8 Let l = -1361 - -4383787/3221. Let c = -441169/57978 - l. Find the common denominator of 53/6 and c. 18 Suppose 2*n = 5*q - 33 - 51, -3*q = 0. Let l = 5 + n. Calculate the common denominator of (22/(-9))/((-2)/3) and l. 3 Suppose 19*i + 416 - 7484 = 0. What is the smallest common multiple of i and 248? 744 Suppose 4 = -p, 0 = -n - 4*n - 2*p + 27. What is the smallest common multiple of 42 and n? 42 Let k = -37 + 37. Suppose k = 5*j - 7*j + 68. What is the smallest common multiple of 10 and j? 170 Let n be 2 + (-106)/1 + 1 + 2. Let q = -63 - n. Calculate the smallest common multiple of q and 10. 190 Suppose -t + 201 + 152 = 0. Let m = -196/1347 + -3304166/9429. Let h = t + m. What is the common denominator of h and -9? 7 Suppose -235 - 73 = -4*h. What is the common denominator of -101/22 and (-146)/868 + 44/h? 682 Let m(t) = t**3 - 6*t**2 + 4*t + 5. Let j be m(5). Suppose -5*l + 3*l + 1650 = j. Let f = -11505/14 + l. Find the common denominator of -16/3 and f. 42 Let g = 28/435 + -13801/140070. Calculate the common denominator of g and -29/140. 3220 Suppose 21*m = -26*m + 1316. Calculate the smallest common multiple of m and 8. 56 Let h be (-1)/((-2)/(-21))*-2. Suppose 43 - h = 2*b. Suppose 0 = -4*w, 5*w - w - 20 = -2*n. What is the least common multiple of b and n? 110 Let w = -58000 - -5219921/90. Find the common denominator of 23/99 and w. 990 Let k(t) = -t + 10 + 2*t + 0*t + 12. What is the lowest common multiple of 3 and k(-12)? 30 Find the common denominator of (-2)/(-120) + 15/(-9) and 2 - (100/16)/(-1). 20 Suppose 2*s = -y + 3, 0*y - 8 = -3*s + 2*y. Suppose -40 = -s*r - 8*r. Calculate the smallest common multiple of r and 28. 28 Let o = -41 - -37. What is the common denominator of 21/2 and 30*(-2 - 13/o)? 2 Let t = 56 + -246. Calculate the common denominator of (-15)/50*t/72 and 58/15. 120 Let k = 20941/9 + -2325. Find the common denominator of k and (33/(-5))/(84/15). 252 Let c = 204 + -184. Calculate the lowest common multiple of 864 and c. 4320 Let l(u) = u**2 - 10*u - 551. What is the lowest common multiple of l(-21) and 184/10 + 2/(-5)? 900 Let q = -2879 + 11601/4. Suppose -3*o + 129 = -0*o - 3*a, -5*o = 4*a - 224. Let t = 5 - o. Find the common denominator of q and t. 4 Let i(u) = u - 3. Suppose -2*f = -v - 12, 2*v = -f - 2 + 3. What is the least common multiple of i(f) and 24? 24 Suppose -5*v = -0*v - 15. Let p = -8371/16 + 517. What is the common denominator of p and (-47 - v)*(-9)/(-84)? 112 Let a(u) = -u**3 - 8*u**2 - 12*u - 6. Let i be a(-8). Suppose 2*g = -5*v + i, 71 + 31 = 2*g - v. What is the least common multiple of 22 and g? 550 Suppose 4 + 5 = 3*l. Suppose 3*o = -0*k - 2*k - 1, 0 = 4*k + 20. Suppose -o*u - 28 = -4*n - 4*u, n + u - 7 = 0. What is the least common multiple of l and n? 21 Let z(h) = 14*h**2 - 3*h +
{ "pile_set_name": "DM Mathematics" }
e factors of y. 11, 43 Let s = -597 + 289. Let x = s + 456. Suppose -x*r = -152*r + 1020. List the prime factors of r. 3, 5, 17 Suppose -77*b = -81*b - 32. Let n(h) = h**3 + 10*h**2 + 9*h + 17. Let o be n(b). Suppose 4*x - o - 350 = 3*j, 4*j = 4*x - 420. What are the prime factors of x? 2, 3 Let w(a) = -47*a + 262. Let m be w(6). What are the prime factors of 45/(-75) + (-11552)/m? 577 Let b = 45 - 32. Let i(u) = -2*u + 30. Let c be i(b). Suppose 2*y + c*q = 116, 5*y - 234 = -q + 20. What are the prime factors of y? 2, 5 Let p(u) = 220*u + 1727. What are the prime factors of p(124)? 3, 11, 293 List the prime factors of (2 - 3)/((-28258128)/(-1345626) + -21). 3, 24919 Let o = -11 - -29. Let k(z) = -3*z + 56. Let f be k(o). Suppose 4*y - 246 = -f*s, 6*y + 66 = 7*y + 5*s. List the prime factors of y. 61 Let y be 1*(14/2 - 0). Let i be y/3*(16 - 7). Suppose i = 3*w - 3*s, w + 5*s - 26 - 5 = 0. What are the prime factors of w? 11 Let t(f) = 2*f + 9. Let u be t(-3). Suppose k - 3726 = -5*s, s + u*k - 456 - 278 = 0. Suppose 8*o - 4*o + 3*h - s = 0, 5*h = 10. List the prime factors of o. 5, 37 Let y = 11925 + 11876. What are the prime factors of y? 23801 List the prime factors of (-7)/(-56)*104/13*11338. 2, 5669 Let g(p) = 76*p**3 + 20*p**2 - 46*p + 46. What are the prime factors of g(6)? 2, 79, 107 Suppose 4*h - 13523 = -5*l, -58*l - 16873 = -5*h - 54*l. Suppose 5*k - h = -32*d + 31*d, -3386 = -5*k + 2*d. What are the prime factors of k? 2, 13 Let o(z) = 16*z**3 - 16*z**2 - z. List the prime factors of o(8). 2, 5, 179 Let j = 523 - 510. Let i = 131 + j. What are the prime factors of i? 2, 3 Let m(i) = -i**2 - 10*i + 11. Let o be m(-11). Suppose o = 6*k + 63 - 705. Suppose -s - b = 2*b - 67, -s + k = -5*b. List the prime factors of s. 2, 41 Suppose 55 = 3*v - f, -112 = -4*v - 2*f - 22. Suppose 0 = 5*w - 4*p - 594, w - v = 5*p + 103. List the prime factors of w. 2, 59 Let q = -5692 - -5734. What are the prime factors of q? 2, 3, 7 Suppose 859*m - 51800 = 880*m - 796418. List the prime factors of m. 2, 17729 Let y(z) = -249*z - 6. Let q(b) = -250*b - 7. Let g(d) = -2*q(d) + 3*y(d). List the prime factors of g(-1). 3 Let d(c) = 18*c + 129. Suppose 5*x + 2*m - 52 = 56, 107 = 5*x + 3*m. List the prime factors of d(x). 3, 5, 7 Suppose 5*h - 1585 = -j, -4765 = -5*j + h + 3108. Suppose -31*i + 36*i = -j. Let o = -224 - i. List the prime factors of o. 7, 13 Suppose -r + 44*x - 45*x + 20 = 0, -2*r + 34 = -x. What are the prime factors of r? 2, 3 Suppose -2*k = 5*l + k + 1299, -3*l + 4*k = 791. Let u = l - -818. What are the prime factors of u? 557 Suppose -38*v - 45*v + 489683 + 266115 = 0. List the prime factors of v. 2, 29, 157 Suppose 58*h + 4809 = u + 63*h, -4*h = -3*u + 14427. List the prime factors of u. 3, 7, 229 Let r = -6812 + 14054. List the prime factors of r. 2, 3, 17, 71 Let k be 801*(-6 - 34/(-6)). Let s = k + 1062. List the prime factors of s. 3, 5, 53 Let j be 247 + -14 + 2*2. Let u = -138 + j. Suppose 4*y + u = 363. List the prime factors of y. 2, 3, 11 Suppose 29*b - 3*u + 241266 = 36*b, 5*u + 34510 = b. List the prime factors of b. 2, 3, 5, 383 Let u(x) = -12*x**3 - 19*x**2 - 77*x - 331. List the prime factors of u(-14). 61, 491 Let p = 11072 - 7510. What are the prime factors of p? 2, 13, 137 Let o(q) be the second derivative of q**4/4 + 19*q**3/6 - 4*q**2 + 30*q. Let f be o(-8). Let u = f - -114. What are the prime factors of u? 2, 73 Let d(i) = 2194*i + 658. What are the prime factors of d(4)? 2, 53, 89 Let k be (-14 - -2)/(-3) + 3. Suppose -k*r = -629 - 190. What are the prime factors of r? 3, 13 Let t = 14 - -6. Let m be (-698)/22 - 351/1287. Let n = t - m. List the prime factors of n. 2, 13 Let s be 2 + 30/20*(-1 - -13). Suppose -5*t = s, 0 = -3*x + 7*x - t - 4500. List the prime factors of x. 2, 281 Suppose d = 3*r + 600, 0 = -9*d + 12*d + r - 1840. What are the prime factors of 72/d - (-25190)/34? 3, 13, 19 Let k be 3807/(-108) - 1/(-4). What are the prime factors of (-1)/(-1) - k/(-7) - -429? 5, 17 Let o = 25438 + -20360. List the prime factors of o. 2, 2539 Suppose 0*r = r. Let n be (r - 12)*74/(-8) + -3. Let a = n + -50. List the prime factors of a. 2, 29 Let y(o) = -6*o - 42. Let t be y(-7). Suppose r - 2*z + z + 3 = t, 6 = 4*r + 5*z. Let v(m) = -147*m - 3. List the prime factors of v(r). 2, 3 Let p(b) = b**2 - 17*b + 40. Let i be p(10). What are the prime factors of i/4*(-51084)/430? 3, 11 Let i = -6187 + 12632. What are the prime factors of i? 5, 1289 Let x = -82 + 49. Let c = 33 + x. Suppose -4*z + 9*z - 520 = c. What are the prime factors of z? 2, 13 Suppose -1801037 = 6*w - 150*w - 391997. List the prime factors of w. 5, 19, 103 Suppose -83*h - 432733 + 3807513 = 0. List the prime factors of h. 2, 5, 19, 107 Suppose 12*y - 87 = -15. Suppose -y*u - 113 = -3*i - 8*u, 2*i = 3*u + 58. List the prime factors of i. 5, 7 Let d = -1997 - -3770. What are the prime factors of d? 3, 197 Let s be 19 + -7*(-5)/(-5). Suppose s*u + 2*u = 2408. List the prime factors of u. 2, 43 Let f(i) = -2*i**2 - 16*i + 46. Let h be f(5). Let v = 186 + h. List the prime factors of (-44)/154 - v/(-14). 7 Suppose 88*c + 61*c = 352 - 54. Let k(o) = -o. Let g be k(-4). Suppose 0 = -t + c*i + 29 - 8, g*t - 4*i = 72. What are the prime factors of t? 3, 5 Let i be 2 + 18/(-4) + (-24)/(-16). List the prime factors of -12*(126/8 - 1)*i. 3, 59 Let w(a) = -a**2 - 9*a - 18. Let s be w(-5). What are the prime factors of s/(-5) - (3 + (-6510)/25)? 257 Let m(w) = -w**3 + 21*w**2 - 32*w - 15. List the prime factors of m(-15). 3, 5, 571 Let b(r) = -6*r**3 + 8*r**2 - 19*r + 32. Let k(j) = -7*j**3 + 7*j**2 - 17*j + 33. Let a(m) = -6*b(m) + 5*k(m). List the prime factors of a(16). 5, 241 Let y(q) = q + 8. Let m be y(-6). Let i = 404 + -402. Suppose 3*d + 143 = i*h, 5*h - 465 + 79 = -m*d. What are the prime factors of h? 2, 19 Suppose 47*l = 45*l - 3*q - 68, 3*q = -l - 31. Let s(b) = 5*b**2 - 2*b - 1. Let t be s(-4). Let k = t + l. What are the prime factors of k? 2, 5 Let p = 19 - 19. Let h(r) = -r**3 - 2*r**2 + 2*r + 169. Let y be h(p). Let s = -6 + y. List the prime factors of s. 163 Let p = -7065 - -9989. What are the prime factors of p? 2, 17, 43 Suppose -v + 74 = 73. Let o(n) = 67*n**2 + 9*n - 9. List the prime factors of o(v). 67 Let f = 13986 - 4321. List the prime factors of f. 5, 1933 Suppose 0 = n + 7*n - 6752. Let c = n - 473. List the prime factors of c. 7, 53 Let f = 21523 - 12380. What are the prime factors of f? 41, 223 Let z = -297 - -366. Suppose -76*o + z*o = -4270. List the prime factors of o. 2, 5, 61 Let b = -26906 - -54812. List the prime factors of b. 2, 3, 4651 List the prime factors of (-5314)/(-3)*(42/(-8))/(138/(-276)). 7, 2657 Suppose -x = 2*x - 1032. Suppose -2*z + 33 = 1. Suppose -x = -4*i + z. List the prime factors of i. 2, 3, 5 Let p(n) be the first derivative of -n**4/4 - n**3 + 4*n + 16. Let o be p(-3). Suppose -2*s - 4*z + 176 = 0, 2*s - 176 = o*z + z. List the prime factors of s. 2, 11 Let y = 43415 - 24257. What are the prime factors of y? 2, 3, 31, 103 Suppose -2*j + 4*c = -7192, 5*j + 6386 = 4*c + 24336. What are the prime factors of j? 2, 11, 163 Let j(x) = 7*x**2 - x + 4. Let c(w) = w + 17. Let a be c(-14). Let k be j(a). Suppose 3*t = -0 - 6, -k = -m + 3*t. What are the prime factors of m? 2, 29 Let f(z) = z + 2*z + 5*z + 1 - 17. Let g be f(8). Suppose -3*p = -4*p - 2*v + g, 204 = 5*p + v. List the prime factors of p. 2, 5 Let f(y) = -3*y**3 + 2*y**2 + y + 1. Let a be f(2). Suppose -3*k - 190 = -5*l + 2*k, 2*l + 5*k - 111 = 0. Let m = l + a. What are the prime factors of m? 2, 3, 5 Let s = -120 - -138. Let i(w) = -2*w + 16. Let n be i(s). What are the prime factors of (-6624)/(-30) + (-4)/n? 13, 17 Suppose 4*t + 15618 = r, 3*t + 1893 + 29343 = 2*r. List the prime factors of r. 2, 3, 19, 137 Suppose -21*b - 8032 = -17*b. List the prime factors of b/(-6) + 17/51. 5, 67 Let g(d) = -d**3 - 3*d**2 + 11*d - 1. Let c be g(-5). Let t(b) = b**2 + 9*b + 16. Let s be t(c). Let o(m) = -11*m. What are the prime factors of o(s)? 2, 11 Suppose -6*d + 27 = -5*d. Let s = -3 + d. What are the prime factors of s? 2, 3 Let s be (-7)/(28/12) + 67*13. Suppose -11*v - 142 = -s. What are the prime factors of v? 2, 3, 11 Let w(r) = -39*r**3 - 8*r**2 +
{ "pile_set_name": "DM Mathematics" }
= 25 - 11. Let y be 30/(-8 + 5 - -1)*-1. Does f = y? False Let l be 2/3*3/(-2). Let q = 7 + l. Let t be 1*1*q/(-2). Which is smaller: -1 or t? t Suppose 3*l + 9 - 3 = 0. Let m = 1 - l. Let n be 2/(2 + (-3)/m). Is n less than 2? False Suppose -3*n = 5*h - 45, 5*h - 2*h = -4*n + 38. Let s be (20/(-12))/((-8)/h). Suppose -4*x + 3 = -1. Is s bigger than x? True Let w be 10/25 + 44/(-10). Which is smaller: -14/5 or w? w Suppose -3*o + 8 = 2. Suppose -c = -o*c + 3. Is 3 equal to c? True Let f be (1 + 0)/((-7)/(-28)). Suppose -2*o = -0*j + j - 2, 3*o + 2*j = f. Is 2/5 smaller than o? False Suppose 2*i - 5*j = 6, -4*i + 10 = j - 2. Let d be (9/(-27))/(4/i). Is 0.19 smaller than d? False Suppose -9*b = -6*b + 6. Which is smaller: b or 1/2? b Let t = -16 - -1. Which is greater: 2 or t? 2 Let z = 6.7 + -7. Which is greater: z or 11? 11 Let v(s) = s**2 + 7*s + 7. Let q be v(-7). Do 7 and q have the same value? True Let m = 200/161 + -22/23. Is -8/5 greater than m? False Let b be 173/(-3) - 14/(-21). Let a be b/153*-3 + -1. Is a greater than 0? True Suppose 0 = -5*k + k - 4. Let c = -1651/8 + 206. Are k and c unequal? True Let w be ((-1)/(-2))/(1/8). Suppose 5 = w*m - 3. Suppose -u - 2 = 4*o + 8, 0 = -m*u + 3*o + 13. Is u < 1? False Let f = -25 + 5. Let k be (-54)/f - (-6)/(-2). Let v = 18 - 18. Is k less than v? True Let p(r) be the third derivative of r**5/60 + r**4/24 + 2*r**3/3 + 4*r**2. Let g be p(3). Is 16 greater than or equal to g? True Suppose 12 = 5*b + h + 3, -8 = -5*b - 2*h. Suppose 5*t + 5*d + 15 = 0, -2*d = b - 6. Let x = t + 7. Is 2 at least as big as x? True Let m = 3 - -1. Let x = m + -4. Suppose -5*u + x = 15. Are u and -2 equal? False Let b = 3.46 - 3.6. Is -0.1 greater than b? True Suppose -3*o - o + 8 = 0. Let s = -17 + 19. Are o and s non-equal? False Let g = 1.95 - -0.05. Let h = -3 + g. Is h less than -4? False Suppose -3*f - 2 = 1, -4*p = -f - 5. Are 3/29 and p non-equal? True Let j be (8 - 9)*(-1)/(-1). Which is bigger: j or 1? 1 Suppose -3*p - 74 = x - 4*p, -4*x = 4*p + 312. Which is greater: -75 or x? -75 Let w be ((-591)/(-198) - 3)*4. Which is smaller: -1 or w? -1 Let z(a) = -a + 6. Let y(k) = -k + 7. Let n(r) = 6*y(r) - 7*z(r). Let v be n(0). Is v < 1? True Let p = 66 - 45. Is p greater than or equal to 20? True Let w = -0.07 + 1.67. Let g = 0.63 + -0.03. Let m = g - w. Is -2/7 less than m? False Let x = -8287/19 - -436. Let g = x + 29/304. Which is bigger: g or 0? 0 Suppose -3*h - 2*l - 12 = -l, 3*h - 4*l - 3 = 0. Let o be (h/(-2))/(60/16). Let m be 1*((4 - 2) + -1). Is o greater than or equal to m? False Suppose -8*o + o = -14. Suppose -5*n + 12 = 2. Is n greater than o? False Let s = -16 + 26. Which is greater: s or 9? s Let v(r) = -r**3. Let j be v(1). Let c be (-10)/(-4) + (-1)/2. Let a = c - j. Is 3 >= a? True Let p = 4.9 + 4. Let g = p - 9. Is 4/9 equal to g? False Let h = 31/429 - -23359/1287. Let c = h - 18. Let s = 32.2 + -32.3. Which is greater: s or c? c Let r = 48 - 47. Is 4/87 at least r? False Let a = -14.4 - -8.5. Let k = 0.1 - a. Let h = k - 8. Is h > -2? False Let d = 8.6 - 8.4. Is d less than -17? False Let s = 4 - 18. Let g = -11 - s. Is g > -1? True Let t be ((-3)/(-2) + 0)/3. Let r = -21 + 22. Does t = r? False Suppose d + 5*t = 15, 3*t + 2*t = -4*d + 15. Let n(l) = 2*l. Let h be n(5). Suppose 4*o + o + h = d. Is -3 != o? True Suppose -7*o + 3*o = 3*j - 166, -3*o + 124 = 2*j. Which is greater: 39 or o? o Let n = -0.79 - 0.11. Are 2/3 and n equal? False Suppose -q - 3*p + 1 = -3, -14 = 2*q - 5*p. Let k(g) = 6*g**2 - 17*g - 6. Let z be k(3). Which is smaller: q or z? z Let f be (-26 + -5)/((-6)/(-10)). Let x = -2024/39 - f. Is x less than or equal to 0? True Let m = 29 + -9. Let w = 59/3 - m. Which is greater: w or -1? w Let j be (-3 + 6)*(-1)/(-3). Suppose 8*c = 4*c + 28. Is j >= c? False Let v = -0.4 + -0.6. Let f = -3.05 + 3.2. Which is smaller: v or f? v Let d = -26 - -29. Suppose 3*q - 4*u = -u + 3, q + d*u = 17. Which is smaller: q or -1? -1 Let q = -6 - -12. Let g(v) = v**3 - 6*v**2 - 2*v + 9. Let m be g(q). Which is greater: -4 or m? m Let j be (6/(-9))/(2/(-6)). Suppose -3*g = j - 11. Suppose 0 - 3 = g*d. Is -1/9 greater than d? True Let o = -2 - -6. Which is smaller: o or 5? o Let g = -133 - -132.9. Which is smaller: g or 6/5? g Let r be ((-2)/4)/(3*1). Let i = 9 - 10. Let d be (-1 - -2) + (i - -1). Which is smaller: d or r? r Let f = -0.8 + 0.1. Let a = f - -1.7. Which is smaller: 3 or a? a Let y = -40 - -23. Let n = y - -83/5. Is -1/8 < n? False Let m = -155/78 - -11/6. Which is smaller: m or -2/9? -2/9 Suppose 4*x - 32 = 5*n, -x + 0*x - 5 = 2*n. Suppose 3*p + 2*p = -2*k - 18, 2*k = p + 6. Is p greater than or equal to n? True Let z = -10 - -15. Suppose 0 = 4*g + 2*u + u, 4*u = z*g. Is -2/3 less than or equal to g? True Let w(o) = -6*o + 2. Let s be w(-1). Suppose s - 6 = -2*u. Which is smaller: u or -6? -6 Let p(s) = -s - 20. Let r be p(-15). Let n = 6 + r. Is -1/17 greater than n? False Suppose 14*s = 21*s + 455. Which is smaller: s or -66? -66 Let d = -4 + 0. Let v(m) = 2*m - 4. Let q be v(3). Let b(n) = -2*n**2 + n + 1. Let j be b(q). Which is bigger: d or j? d Let t = -91 + 88. Let m = -2 + -2. Which is smaller: m or t? m Suppose -2*t - 8 = 3*x - 21, 5*t - x - 7 = 0. Suppose 0 = -3*u - 4*y + t*y - 4, -u - 5*y = 10. Which is bigger: u or -1/6? u Let x(j) = j**2 + 4*j + 7. Let b be x(-5). Let f = b + -25/2. Which is smaller: f or -2? -2 Suppose -6 = -2*v - v. Let d = -67/3 + 23. Which is bigger: d or v? v Let g(k) = 4*k - 2. Let x be g(2). Let r(v) = v**3 - 6*v**2 - v + 5. Let f be r(x). Does -2/7 = f? False Let c = 0.04 - 0.04. Let k = -0.3 + 1.3. Which is bigger: k or c? k Suppose i + 27 = o, -o - 2*i + 10 = -8. Suppose -o = -0*z - 2*z. Suppose 4*x = 4*d - z, 3*x - 2*d - 2*d + 11 = 0. Which is smaller: x or -1/4? x Let b = 13 - 8. Let d be (18/(-8))/((-27)/72). Are b and d equal? False Let j = -0.53 - 0.47. Which is smaller: -21 or j? -21 Let o = -7 + 5. Let j(z) = -12*z**3 + z**2 + 2*z. Let a be j(o). Let d be a/171 + 4/(-6). Do 0 and d have different values? True Let w = 1 - 3. Let x = -1 + -1. Does x = w? True Suppose -w + w = -w. Which is smaller: 2/39 or w? w Let c be 7*2/(-4)*(-10)/70. Is c greater than or equal to 1.7? False Let y = -18 + 10. Let x = y + 10. Is 2 at most as big as x? True Suppose -4*m - 16 = 4*v, 3*m - 15 - 15 = 4*v. Is v >= -5? False Suppose 4*j + 66 = -3*q + 5*q, -2*q - 3*j = -66. Let k = q - 365/11. Which is greater: k or 2? 2 Suppose -3*t = -2*d + 10, -3*d = -2*t + d - 4. Let q be 4 + 2/(t/6). Let l = 679/2080 - 3/160. Which is greater: q or l? q Let a = -2 + 3. Which is smaller: -2/31 or a? -2/31 Let b = -1.2 - -1.3. Which is smaller: -3 or b? -3 Let o = -2 - -1. Let a = -0.09 + 0.29. Let l = -2.8 - a. Is o at most l? False Let t = -0.02 + -0.08. Let r = t - -0.1. Let s = 0 + 0.1. Is r at most s? True Let h = -2/107581 + -14308093/9682290. Let y = -1/45 + h. Is -2 at most as big as y? True Let m(z) = -4*z - 7. Let j be m(-1). Is j at least -2? False Let l = -4 + 4.6. Let o = l - 2.6. Let f = o - -4. Which is bigger: 0 or f? f Let n = -2 + 2.2. Let f = -0.5 + 0.4. Let r = n + f. Which is bigger: 0 or r? r Let a be (-1)/21*3*2. Which is bigger: a or -0.03? -0.03 Let h = 4/1971 + -59791/1971. Does h = -30? False Let i be 2*(4 - (-36)/(-8)). Let a = -233/5 + 46. Which is bigger: a or i? a Suppose -4*o + 2*o + 4 = 0. Let s(n) = n**3 - 4*n**2 - 3*n - 6. Let h be s(5). Is o != h? True Suppose -3*a - 10 = 38. Let k be (2 - a/(-6))/(-5). Which is greater: 1 or k? 1 Let g(f) = f**2 - 22*f + 4. Let o be g(21). Which is bigger: -15 or o? -15 Let m = -2 + 1. Let k be 1/(-7)*-5 + m. Suppose 0 = 3*q + 1 - 4. Which is smaller: q or k? k Let r be 0 + (-1)/(9/(-6)). Let d = -3 - -3.1. Let p = -2.9 - d. Which is bigger: p or r? r Let k be 96/46 + (-1 - 1). Let f = 45873/1978 + -1058/43. Let g = f - k. Which is greater: g or -1? -1 Let w(b) = -2*b - 5. Let a be w(-4). Suppose 2*x + a = 1. Are x and -3/7 nonequal? True Let v be -1 - (2 - 1)*-3. Suppose -17 = 4*x - 3*i, -5*x + v*i + 0*i - 16 = 0. Suppose 4*c - 2 = 2*d, d + 5*c = -8 - 0. Is x smaller than d? False Suppose -4*j = -2*x - 9*j - 71, -5*x = -5*j + 265. Let t be -3 - -5 - x/(-28). Are t and -1 nonequal? True Let y = -
{ "pile_set_name": "DM Mathematics" }
(sqrt(7) + 0)**2 + 1 + 0 + sqrt(175). -186 + 5*sqrt(7) Simplify (sqrt(2450) - sqrt(2450)*-4)/(-4*sqrt(40)) + 3. -35*sqrt(5)/8 + 3 Simplify (sqrt(11) + sqrt(11) + (sqrt(11) - (sqrt(11) + (sqrt(11) - sqrt(22)/sqrt(2))))**2 + -5)*-1 + ((-5 + -2*sqrt(11) - sqrt(11))*-5)**2. 748*sqrt(11) + 3105 Simplify (-1*sqrt(425) - (2*sqrt(153))/sqrt(9) - sqrt(136)/sqrt(512))**2. 55233/64 Simplify (sqrt(405) + 3 + -2 + (sqrt(405) + sqrt(405)*3)*3)**2 + 1. 234*sqrt(5) + 68447 Simplify sqrt(228)/(sqrt(12) + 1*sqrt(12) + sqrt(12))*-5*6 - (-2*sqrt(190)*-2)/(sqrt(10) + sqrt(50)/(sqrt(5) + -2*sqrt(5) + sqrt(5) + sqrt(5) + sqrt(5))). -38*sqrt(19)/3 Simplify (-3 + (0 + (-6*(-2 + sqrt(147)))**2)*4)*3. -12096*sqrt(3) + 65223 Simplify (-2*-6*((sqrt(396) - -1*sqrt(396)) + 3 - -4*sqrt(539)*2))**2. 58752*sqrt(11) + 7325712 Simplify (sqrt(190) - -2*(sqrt(190)*3 - sqrt(190)))/(sqrt(10) + sqrt(2450)/sqrt(5)). 5*sqrt(19)/8 Simplify (1*-2*sqrt(114) - sqrt(114) - sqrt(114))/(-4*sqrt(600)). sqrt(19)/10 Simplify (5*(sqrt(190) + sqrt(190) + -1*sqrt(190) + sqrt(190))*4)/((sqrt(640)*-1 - sqrt(640))*-4). 5*sqrt(19)/8 Simplify ((2 + 1 + sqrt(128) + sqrt(128))*-3 + 0 + -5)**2. 1344*sqrt(2) + 4804 Simplify 6*(5*(4 + 5 + sqrt(343)*2 + 0))**2. 37800*sqrt(7) + 217950 Simplify 2*(4*sqrt(288) + sqrt(18) - (-3*sqrt(6)/sqrt(3) + (sqrt(50) - sqrt(2)) + -4)**2). -36 + 118*sqrt(2) Simplify ((sqrt(432) + -1)*-5*-4)**2 + (1*4*-4*sqrt(432))**2. -9600*sqrt(3) + 283792 Simplify 6*5*-2*(-3 + sqrt(32) + 4)**2. -1980 - 480*sqrt(2) Simplify (((4 + -2 + -1*sqrt(700))*1)**2 + 5)*-2. -1418 + 80*sqrt(7) Simplify ((sqrt(70) + -4*(-3*sqrt(70) + sqrt(70) + sqrt(70)) + sqrt(70))/(sqrt(120)/(sqrt(12) - (sqrt(12)*-1 - sqrt(12)) - sqrt(12))))**2. 1008 Simplify ((5*sqrt(190) - sqrt(190))*-6)/(sqrt(10) + (sqrt(120)*1)/sqrt(12) + sqrt(10)). -8*sqrt(19) Simplify (sqrt(1701) + sqrt(1701)*1 - (-3*sqrt(63)/sqrt(3) - sqrt(21)))/(sqrt(42)/sqrt(54) - sqrt(14)/sqrt(2)*-4). 66*sqrt(3)/13 Simplify (sqrt(45)/sqrt(225) - (sqrt(135)/sqrt(3) - sqrt(45)))**2 - (-1 + sqrt(5) + sqrt(40)/sqrt(8) + 2). -2*sqrt(5) - 4/5 Simplify (2*sqrt(70)*-4)/sqrt(10) + sqrt(847) + 0 + sqrt(847) + 1. 1 + 14*sqrt(7) Simplify (-1 + 6*((-5 + sqrt(272) + 0 - sqrt(272)) + (sqrt(272) + 0)*2) + 5)**2. -2496*sqrt(17) + 39844 Simplify (((sqrt(216) - sqrt(24))*-3)/sqrt(8) - sqrt(33)/(sqrt(1331)*-1))*-2. 130*sqrt(3)/11 Simplify 2*(sqrt(7) + (-1*sqrt(700))**2 - sqrt(28)*3). -10*sqrt(7) + 1400 Simplify ((sqrt(208) + (sqrt(208) + sqrt(208) + 2)*-6 - (2 + -1*sqrt(208))) + -4)**2. 1440*sqrt(13) + 21124 Simplify (6*(sqrt(133) + -2*sqrt(133)*-6 + sqrt(133)))/((sqrt(70) - 2*((sqrt(70) - 1*sqrt(70)) + sqrt(70)) - sqrt(70))/sqrt(10)). -42*sqrt(19) Simplify ((3*sqrt(704)*3)**2 - sqrt(704)) + -4 + -2 + sqrt(704) + sqrt(704) + 3. 8*sqrt(11) + 57021 Simplify (4 + (5*(sqrt(21) - (sqrt(42)/sqrt(2) - sqrt(21))))/(sqrt(363)*-2))*-2. -8 + 5*sqrt(7)/11 Simplify 5 + (-3 + (-1*sqrt(252) - sqrt(252))/sqrt(9)*6 + -2)**2. 240*sqrt(7) + 4062 Simplify ((sqrt(1300) + 1)*1 - (3*(sqrt(1300) - -2*sqrt(1300)))**2) + (1 + 2 + sqrt(1300) + sqrt(1300) + 1)**2. -100083 + 170*sqrt(13) Simplify -5*((sqrt(272) - 6*-4*sqrt(272))*-6)**2. -30600000 Simplify (0 + sqrt(304) + sqrt(304) + 0 - (sqrt(304) - (0 + (0 + sqrt(304) - sqrt(304)))) - (2 + 1*sqrt(304))*-5)**2. 480*sqrt(19) + 11044 Simplify 3*((0 + 1 + sqrt(288) - ((sqrt(288) + -1 + sqrt(288))*-2)**2) + (sqrt(288) + 1 + sqrt(288) + -1 - (-4 + sqrt(288) + 0 + sqrt(288)))**2). -13785 + 612*sqrt(2) Simplify 6*(sqrt(1900)*2 + 2) + ((0 + sqrt(1900))*6 - -4*((1*sqrt(1900))**2 - sqrt(1900))). 140*sqrt(19) + 7612 Simplify -2*((-2 + sqrt(6)/sqrt(3) - sqrt(2)) + 0 - -6*-1*sqrt(128)). 4 + 96*sqrt(2) Simplify -2*((sqrt(65) + 4*(sqrt(65)*2 - sqrt(65)))/(sqrt(245) + (2*sqrt(245) - sqrt(245))))**2. -325/98 Simplify (4*(sqrt(153)/sqrt(144) + sqrt(17)*-2 + -3) + 3)**2. 126*sqrt(17) + 914 Simplify ((sqrt(76) + sqrt(76) + (sqrt(76) - sqrt(76)*1*-1) - sqrt(76)) + (sqrt(76) - 2*2*sqrt(76)))/(sqrt(20)/sqrt(5)*-5*-4). 0 Simplify (sqrt(637) - (sqrt(637)*-1*5 - sqrt(637)) - (-4 + sqrt(637) + -1) - ((sqrt(637) - (1 + sqrt(637)))*-6 + -1 + sqrt(637) + 1))**2. -70*sqrt(13) + 15926 Simplify (-4 + 1 + sqrt(11))*-6 + ((sqrt(275) + -1 - sqrt(275))**2 - (sqrt(11) - (sqrt(11) + 0)**2)*-4). -25 - 2*sqrt(11) Simplify sqrt(6)/(sqrt(8)/sqrt(4)) - (0 + sqrt(3) + 1)**2 - ((sqrt(12) - sqrt(108))/sqrt(4) + 2)**2. -20 + 7*sqrt(3) Simplify (0 + -3*(sqrt(891) + 0) + sqrt(891) + 6*(2*sqrt(22)*-5)/sqrt(2))**2. 66924 Simplify (((sqrt(343)*3 - sqrt(343)) + 4 + sqrt(343))*3 + (sqrt(343) + 3 + 4)*3)**2. 5544*sqrt(7) + 50481 Simplify -6*(-1*6*-2*sqrt(325))**2 + -2. -280802 Simplify -2*((sqrt(15)/(sqrt(5)*1))**2 + sqrt(3)) - sqrt(18)/(sqrt(12)/sqrt(2))*-2. -6 Simplify ((sqrt(65)/sqrt(45))**2 - 5*(sqrt(13)*1 - sqrt(13))) + sqrt(78)/(sqrt(6) + (sqrt(6) - (sqrt(42)*-2)/sqrt(7)) + sqrt(6)). sqrt(13)/5 + 13/9 Simplify (3 + sqrt(7))**2*5*-1 - ((sqrt(63) - (sqrt(63) + 2))**2 + sqrt(63))*4. -42*sqrt(7) - 96 Simplify (-2 + 5 + sqrt(5445)*4 + 5)**2. 2112*sqrt(5) + 87184 Simplify (6*6*(sqrt(5)*1*6 + -1 - (sqrt(720) + sqrt(720) + 0 - (-2 + sqrt(10)/sqrt(2) + sqrt(5)))))**2. 124416*sqrt(5) + 1670544 Simplify sqrt(18)/(sqrt(36)/sqrt(4)) + ((sqrt(128)*-2)**2 - sqrt(2)) + (-1*sqrt(72))**2*3. 728 Simplify -2*((-4*(-6*sqrt(228)*-2 - sqrt(228)))/(sqrt(1728) + sqrt(1728) + sqrt(1728)*-2 + sqrt(1728) - (4*sqrt(48) + sqrt(12))))**2. -73568/9 Simplify (4*sqrt(76)*-3)/(sqrt(36) - -2*sqrt(36)). -4*sqrt(19)/3 Simplify sqrt(17) + sqrt(2057)*-2 + (sqrt(17) - (0 + (sqrt(51)/sqrt(3))**2)) + (sqrt(17) + -1*(-1 + sqrt(17)) + -5)**2. -20*sqrt(17) - 1 Simplify -6*(((sqrt(2299) - sqrt(2299)*-1) + sqrt(2299))*6*6 + -3)**2*3. -482679810 + 128304*sqrt(19) Simplify -6*(5*(sqrt(77) + sqrt(77)*-2))/((sqrt(7) + -1*sqrt(7) + sqrt(7))*-3)*-6. 60*sqrt(11) Simplify ((sqrt(102) + (6*3*sqrt(102) - sqrt(102) - sqrt(102)))*3)/(-2*sqrt(150)*-6). 17*sqrt(17)/20 Simplify sqrt(891) + 0 + -1 + -1 + sqrt(121)/(sqrt(11)*-2). -2 + 17*sqrt(11)/2 Simplify (sqrt(24)*1)/sqrt(2) - (-2 + -6*(-1 + sqrt(3) + sqrt(3))). -4 + 14*sqrt(3) Simplify sqrt(17) + -5 + sqrt(85)/sqrt(5) - (1*(sqrt(17)*-2)**2 + sqrt(17)) - (-1 + 5*sqrt(612)). -29*sqrt(17) - 72 Simplify ((1 + ((sqrt(468) - (sqrt(468) - (0 + sqrt(468) + sqrt(468)))) + -5)*5)*-3*-2)**2. -103680*sqrt(13) + 1705536 Simplify ((sqrt(88) - -1*sqrt(88))*1 + sqrt(88))/((sqrt(396) - sqrt(396)*-1 - sqrt(11)) + sqrt(11) + (sqrt(132) - (-1*sqrt(132) + sqrt(132)))/sqrt(12)). 6*sqrt(2)/13 Simplify -5 + 1*(sqrt(49)/sqrt(7))**2*2 + 5. 14 Simplify -1 + (6*sqrt(1100)*-5*-3)**2. 8909999 Simplify ((-5*(sqrt(15)*4 - sqrt(15)))/(sqrt(720)*4))**2. 75/256 Simplify (5*(-2*sqrt(66)*-4)/((sqrt(6)*-1 - sqrt(6))*6))**2. 1100/9 Simplify 3 + ((sqrt(220)/sqrt(180))/sqrt(4))**2 + -1 + (sqrt(1584) - (0 + sqrt(1584)))**2. 83/36 Simplify (-2*6*sqrt(1872))**2 + (sqrt(117) + 2 + sqrt(117) - (sqrt(13) + sqrt(156)/(sqrt(12)*1))). 4*sqrt(13) + 269570 Simplify (-4 + (sqrt(72) + (sqrt(72) + -2)*-4 + (sqrt(72) + (sqrt(72) + 3 - sqrt(72)) - sqrt(72))*-3)*6)**2. 2160*sqrt(2) + 23428 Simplify (-6*(sqrt(704) + 0)**2 - sqrt(704))*-2 - -1*(-1 + sqrt(704) + 1). 24*sqrt(11) + 8448 Simplify 3*((-3*sqrt(242)*2)**2 - (5 + (sqrt(242) + -1)**2)). 66*sqrt(2) + 25392 Simplify 4*(sqrt(1539) + 0)**2 + sqrt(1539) + (0 + sqrt(1539))**2 + -5 + sqrt(1539) + -5*(sqrt(1539) - ((sqrt(1539) - (1 + sqrt(1539))) + -3)). -27*sqrt(19) + 7670 Simplify sqrt(363) + -1 - (sqrt(108))**2 - (4*sqrt(192)*-2)**2. -12397 + 11*sqrt(3) Simplify -4*(sqrt(704) + -3 - sqrt(704))*-3 + -4. -40 Simplify (4 + (sqrt(39) + (2*sqrt(351))/sqrt(9))/(sqrt(1323) - sqrt(27)))**2. 4*sqrt(13)/3 + 589/36 Simplify 4*(1*sqrt(72))**2 + 1 + 4 + 3. 296 Simplify 3 + (4*(sqrt(175) + 2) - (sqrt(175) + sqrt(175) + (sqrt(175)*-2 - sqrt(175)) + -4)). 15 + 25*sqrt(7) Simplify -4 + (4 + (sqrt(425)*1)**2 - sqrt(425)) + (sqrt(425) - (sqrt(425) + sqrt(425) + 0 + 2)**2) + 2. -1277 - 40*sqrt(17) Simplify (5*(sqrt(272) + 4 + sqrt(272)) + -1*sqrt(272)*-1)*-1. -44*sqrt(17) - 20 Simplify ((-1 + 1 + sqrt(363) + -1*sqrt(363)*1)*-4)**2. 0 Simplify (sqrt(128) + 2 + 5)**2 - (-5 + 3 + sqrt(2) - 1*(1 + sqrt(2))). 112*sqrt(2) + 180 Simplify (3 + sqrt(704) + 2 + sqrt(704))**2 + sqrt(704) + sqrt(704) + ((-2 + sqrt(704))*1)**2. 144*sqrt(11) + 354
{ "pile_set_name": "DM Mathematics" }
6*z - 119. Let j be q(22). Give s(j). 9 Let y(r) = 2*r**2 - 13*r + 10. Suppose 4*v - 3*w = 31, 23*w - 22*w = 2*v - 15. Give y(v). 17 Let h(c) = -2*c**2 + 3*c + 3. Let o(z) = -z**2 - 18*z + 90. Let v be o(-22). Let r be (-8)/(-12)*-2*3/v. What is h(r)? -11 Let a(x) = x**2 + 11*x - 126. Suppose -6*j - 73*j - 64*j = 2717. Determine a(j). 26 Let d(y) = 52 - 148 + 45 + 59 - 44*y. Calculate d(2). -80 Let s be 4/(-14) + (-885)/(-35). Suppose -s*w = -26*w. Suppose -15 = -5*j - w*j. Let g(b) = b**3 - 3*b**2 - 2*b + 3. What is g(j)? -3 Let o(w) = -9 - 31214*w + 31220*w - 3. Determine o(1). -6 Let y = -11 + 15. Suppose -4*c + 30 = -y*r + 50, 0 = -5*c - r - 25. Let q(d) = d + 5. Give q(c). 0 Let r = 2899 - 2906. Let i(s) = 2*s**2 + 12*s - 3. Calculate i(r). 11 Let q be 6/(-105) + 4199/595. Let m(t) = t**3 - 9*t**2 + 5*t + 5. Give m(q). -58 Let d = 440 - 92. Let k(u) = 2*u - 4 - 350*u**2 + 0*u + d*u**2 - u**3. Calculate k(-3). -1 Let j(s) be the first derivative of -5*s**4/6 + 45*s**2/2 + 50. Let c(y) be the second derivative of j(y). Let l = 1 - 0. Calculate c(l). -20 Let c(x) = 5*x - 3*x + 3*x - 56*x**2 - 8 + 116*x**2 - 62*x**2. Give c(2). -6 Let n(a) = 779 + 790 - 1582 - 2*a. Give n(-11). 9 Let v be 17/204*(-7 + 8). Let c(f) be the third derivative of 0 + 0*f - 4*f**2 - 2/3*f**3 - v*f**4. Calculate c(-3). 2 Let v(p) = -p**2 - 30*p - 45. Suppose 4795*k = 4811*k + 448. Calculate v(k). 11 Let m(s) = s + s**2 - 478 + 234 + 234 + 0*s - 5*s. Calculate m(-4). 22 Let g be 8/(-10)*(-21 - (-12)/(-3)). Let x be (-106)/g - 9/(-30). Let o(d) = -d**3 - 6*d**2 - 4*d + 5. Determine o(x). 0 Let q(b) = -23*b + 2. Let p(s) = -13*s + 1. Let a(t) = -7*p(t) + 4*q(t). Let l be -3 - (-4 - (-6 - -3)). Let j be l*(2/(-4))/1. What is a(j)? 0 Let m be (20 - (-16 - -42)) + -1. Let u(t) = -t**3 - 8*t**2 - 2*t - 3. What is u(m)? -38 Let l(p) = -3*p**3 - 3*p**2 - p + 1. Let q(y) = 4*y**3 - 21*y**2 + 2*y - 12. Let x(w) = 3*l(w) + q(w). Calculate x(-6). -3 Suppose -6*l = -13*l + 15337. Let j(n) = -40 + l*n - 2193*n + 11. Give j(-13). -3 Let s(u) = u**2 - 14*u + 19. Let x be 729/63 + 120/280. Give s(x). -5 Let h be (-2)/4*2*7. Let g(q) be the first derivative of -q**3/6 - 4*q**2 + 122*q - 59. Let v(i) be the first derivative of g(i). Calculate v(h). -1 Let m(y) = y + 3. Let g(h) = -34 + 11*h - 47*h + 12*h + 11*h + 9*h. Let q(b) = b**3 - 5*b**2 + 3*b - 1. Let w be q(3). Let t be g(w). Calculate m(t). 9 Let n(h) = -h**2 - 11*h - 3. Suppose 5*p + 8*t = 11*t - 45, 2*p + 18 = t. Determine n(p). 15 Let q(d) be the second derivative of d**4/12 - 3*d**3/2 - d**2/2 + 143*d. Suppose 4*p - 5*v - 60 = 0, p + 2*v - 5*v = 22. Give q(p). 9 Let z(l) be the third derivative of 0*l - 1/120*l**5 - 5/6*l**3 + 0*l**4 + 28*l**2 + 0. Let t(w) be the first derivative of z(w). Calculate t(-7). 7 Let l(t) = 0 + 388*t - 1 - 125*t - 133*t + 9*t**3 - 2*t**2 - 132*t. Let v be 37/(-9) + (-4)/(-36). Let o be ((-22)/8 + 3)*v. Determine l(o). -10 Let r(b) = -3*b**2 - 3*b - 3. Let d be (-1 + 34/6)/((-8)/12). Let w(s) = -4*s**2 - 5*s - 5. Let k(p) = d*r(p) + 5*w(p). Calculate k(3). -7 Let h(d) = 16*d**2 - 4*d - 3. Let w(f) = 3*f**3 + 25*f**2 + f - 57. Let r be w(-8). What is h(r)? 17 Let u(m) be the third derivative of 1/8*m**4 - 7/6*m**3 + 0 + 65*m**2 + 0*m + 1/60*m**5. What is u(-6)? 11 Let n(l) = l**2 - 8*l + 3. Let v(j) be the first derivative of 2*j**3 + 3*j**2/2 - 2*j - 7. Let t be (-5 + 4)/(-2*4/8). Let f be v(t). Determine n(f). -4 Let n(w) = -7*w - 8*w + 20*w + 14 + w - 5*w. Suppose 2*k + 3*k - 15 = 0. Suppose -g - k = 5. Calculate n(g). 6 Suppose t = -5*c + 67, 0 = -4*c + c + 5*t + 57. Let y(s) = -c*s + 8*s + 8*s + 1. Determine y(4). 9 Let z be (-9)/6*(-16)/12. Let f(r) = -68*r + z*r**2 - 5*r**2 - r**3 - 1 + 5*r**2 + 71*r. Determine f(2). 5 Let x(s) = 22*s + 21 - 5*s**2 + 14*s**2 - 8*s**2 + 10 - 7*s. Give x(-7). -25 Let r(q) = 3*q**3 - 37*q**2 + 10*q + 14. Let d = 16270 - 16258. What is r(d)? -10 Suppose -3*u - u = 0. Let s(x) be the third derivative of x**6/120 + x**5/60 - x**4/24 - 31*x**3/6 + 1098*x**2 - 3*x. Give s(u). -31 Let l(r) = 5*r**3 + 11*r**2 - r. Let d(z) = -2*z**3 - 5*z**2. Let q(a) = -7*d(a) - 3*l(a). Let g = 75788 - 75784. Determine q(g). -20 Suppose 2*d - 8 = 12. Let b = d + 5. Let v = b - 18. Let w(o) = 4*o + 3. Give w(v). -9 Let i(b) = b**3 - 5*b**2 + 1. Suppose 4*m + 7 = 19. Let n be 0 - (m + (-7 - -2) + 2). Let q be 6 - (n + 3) - -1. Calculate i(q). -15 Let r(z) = -3*z**3 - 4*z**2 - 5*z - 7. Let v = 13143 - 13145. Give r(v). 11 Let i(v) = 47621 - 47613 + 0*v**3 + 5*v**2 - 2*v + v**3. What is i(-6)? -16 Let k(r) = -168*r**3 + 28*r + 167*r**3 - 21 + 8*r + 33*r**2. Give k(34). 47 Let t be (-9)/(-21) + 68*(-13)/364. Let g(y) = -17*y + 1. What is g(t)? 35 Let l(v) = v - 6. Suppose -37 = -10*c - 17. Suppose c*f - 8 = s + 6*f, 0 = 2*s + 5*f + 7. Give l(s). -2 Let r(f) = f + 20. Let m = -46 + 55. Suppose -v + 6 - m = 0. Let i = v - -3. What is r(i)? 20 Let o(f) be the second derivative of -43*f**5/20 + f**3/6 - f**2/2 - 2*f. Let n(i) = -i**3 - 26*i**2 + 85*i - 57. Let a be n(-29). Calculate o(a). -43 Let q(m) = 8*m - 273. Let j be ((-12)/22 + 60/1320)*6 - -35. Calculate q(j). -17 Let h(l) = -14*l + 7. Suppose -3*w = -3*v + 24, -12 = 8*v - 11*v. What is h(w)? 63 Let o(d) = d**3 - 2*d**2 - 2*d + 1. Suppose -j = -10 + 6. Let r be 1*(-68)/(-18) - j/(-18). Let z be r*(-2)/(-20) + 120/75. Determine o(z). -3 Let x(r) = -2*r**2 + 3*r + 3. Let j be (-98)/(-5) + (-18)/(-45). Let c be 4/j + 33/(-15). Let n be 10/(-4) - c/4. What is x(n)? -11 Let f be 1 - 1/((-1)/(-367)). Let g = 135 + f. Let a be g/(-55) - (-2)/(-10). Let u(c) = -c**3 + 4*c**2 + c - 5. What is u(a)? -1 Let t(g) = -5*g + 52. Let u be ((-81)/(-9) - (-12)/14) + (-2)/(-14). What is t(u)? 2 Let q(n) = 2*n + 2. Let m be q(2). Let g(c) = -4*c - 1. Let a(t) = -4*t - 1. Let d(k) = -a(k) + 2*g(k). Give d(m). -25 Let a(n) = -n**2 - 188*n - 568. Let y be a(-3). Let f(b) = -b**2 - 16*b - 27. Determine f(y). 12 Let s(n) = n - 57. Let q(f) = f. Let d(l) = 4*q(l) + s(l). Let j be d(14). Suppose -j = 7*k - 20*k. Let x(z) = -4*z**3 + z**2 - z + 1. Determine x(k). -3 Let v(j) = j**3 + 29*j**2 + 390*j + 30412. Let k be v(-39). Let s = 0 + 0. Let h(u) = u - 2*u - 8 + s*u. Determine h(k). 0 Let o(g) be the third derivative of -2*g**5/15 - 3*g**4/8 - 4*g**3/3 - 3292*g**2. Calculate o(-1). -7 Let p(w) = -w**3 - 7*w**2 + 7*w. Let s(m) = -3*m - 1. Suppose -3*n - 6*l - 2 = -7*l, -5*l = n - 26. Let y(h) = n*p(h) + 3*s(h). Give y(-6). -27 Let t(r) = 3*r**2 - 3*r - 1. Let j(u) = 99*u + 300. Let k be j(-3). What is t(k)? 17 Let i be (-965)/(-20) + (-3)/(-4). Let k(f) = -f**2 + i*f + 45*f - 95*f. Determine k(-2). -2 Suppose -3*m + 2*q = -4, -3 = -3*m + 5*q - 2. Suppose -3*a + 37 = 4*y, -m*y + 3*a + 4 = -1. Let u(l) = -l + 13. What is u(y)? 6 Let g be -2*(10/(-4) + 2). Let c be (-4)/2 + 6 + (g - -3). Let h(v) = 3*v**3 - 5*v**3 + 4*v + c + 0*v - 5*v**2 + v**3. Determine h(-6). 20 Let n(m) = 2*m**3 + 2*m**2 - 2*m. Let k be (-1989)/12 + -6 + 3/4. Let o = -174 - k. What is n(o)? -30 Let g(a) = 5*a**2 + 6*a - 3. Let y(q) = 3*q**2 + 7*q - 3. Let p(t) = -7*g(t) + 6*y(t). Let c(l) = 25*l**2 - 4. Let i(d) = -5*c(d) - 7*p(d). Give i(-1). -7 Suppose -4*z = d - 32 - 16, -d = -3*z + 29. Let m(t) = 2 + 59*t**2 - 57*t**2 - z*t + 16*t. What is m(-4)? 14 Let l(q) = 15*q**2 - 23*q - 13. Let w be l(2). Let r(c) = 44*c**3 - c**2 + c - 1. Give r(w). 43 Let h = -652 - -765. Let x(n) = -h*n - 39 + 40 + 112*n. Give x(-5). 6 Let o(y) = -2*y**3 + y**2. Let f = -11 - -14. Let j(i) = 4*i**2 - 3*i**f - 3*i**3 + i**3 + i. Let a(s) = 3*j(s) - 8*o(s). Calculate a(-2). 2 Let i(m) = 3*m + 2443 - 4847 + 2455. Determine i(-15). 6 Let a = 38 + -36. Suppose 0 = -a*h + h + 4. Let f(t) = 7 - h*t**2 - 2 + 2*t**2 - 8*t + t**2. What is f(-6)? 17 Let b(g) = 11*g**2 - g - 6. Let y(i) = -31*i**2 + 4*i + 12. Let f(z) = -11*b(z) - 4*y(z). Determine f(5). 68 Let q(m) = -88 + 525*m - 265*m - 265*m + 259. What is q(32)? 11 Let n(s) = s**2 + 4*s - 14. Suppose 0 = -39*b + 17*b. Calculate n(b). -14 Let d(w) = 6*w + 2. Let n be d(-1). Let f(c) = c**3 - 4*c - 1. Let m(l) = 7*l**3 + 5*l**2 - 22*l - 9. Let b(x) = -6*f(x) + m(x). Determine b(n). 5 Let b(a) = 19*a**2 + 2*a + 1. Let g = 99 - 55. Let c = g + -43. Let d be 3/((-6)/(-
{ "pile_set_name": "DM Mathematics" }
(3)))**2 - (sqrt(110)*2)/sqrt(10))). 70/9 Simplify (-1*sqrt(2736) + 0 + 2 - (2*(-1 + sqrt(2736)) + sqrt(2736))*-3)**2*-6*-2 + -2. -9216*sqrt(19) + 2101438 Simplify (0 + -6*(sqrt(143)/(sqrt(99)/sqrt(441)) + (sqrt(143) - (sqrt(143) + sqrt(143)*3 + sqrt(143)))/sqrt(11) + -4))**2 + -1. -864*sqrt(13) + 4787 Simplify (3*(sqrt(600) + (1*sqrt(600) - sqrt(600))*-1 + sqrt(600) - sqrt(600)))/((-2*sqrt(297))/sqrt(11) + ((sqrt(27) - -1*sqrt(27))*-6 - sqrt(27))). -2*sqrt(2)/3 Simplify (4 + 5*(sqrt(108) + -3) - ((1*sqrt(189))/sqrt(7))/(sqrt(9)*-2*2))**2. -1331*sqrt(3)/2 + 45859/16 Simplify (2*(1 + sqrt(11)) + 1 - (2 + sqrt(11) + 1 + 2)) + ((2*(1 + sqrt(396)) - (0 + sqrt(396) + 4)) + -4)**2. -71*sqrt(11) + 430 Simplify 3 + ((3*sqrt(5103) + sqrt(5103) - sqrt(63))*2)/(sqrt(72)/(sqrt(72) + (sqrt(72) - -1*sqrt(72)))). 3 + 630*sqrt(7) Simplify (sqrt(300) - (-2 + sqrt(300)))*-3 + 2*sqrt(300)*1 + (2 + sqrt(3) + (-1 + sqrt(147))**2 + (sqrt(3) + sqrt(108)/sqrt(4))**2)*1 + 1. 7*sqrt(3) + 193 Simplify -4*(1*-5*(-3*(1 + sqrt(192)) + -4) + 2). -480*sqrt(3) - 148 Simplify ((sqrt(19)*-2 + 1 - (sqrt(76) + -4) - (-1*sqrt(76)*2 + 3))*6)**2. 144 Simplify 2 + (sqrt(54)/(sqrt(3) + (-1*sqrt(27) - sqrt(27))/sqrt(9)) - sqrt(144)/(sqrt(48)/(sqrt(6) - (sqrt(6) + sqrt(6)*-3))))**2. 290 Simplify (2 + -5 + ((1 + sqrt(99))*4 + (sqrt(99) + 0)*-3 - -6*5*(1 + sqrt(99) + sqrt(99))))**2. 11346*sqrt(11) + 369340 Simplify ((-3*3*-4*1*sqrt(440))/(sqrt(490)*-2 + -3*sqrt(640)))**2. 14256/361 Simplify 5 + ((sqrt(33) + 1*sqrt(132)/sqrt(4))*1)/(sqrt(15)/sqrt(80)*1). 5 + 8*sqrt(11) Simplify (4*sqrt(45)/sqrt(3) - (sqrt(15) + sqrt(75)/(1*sqrt(5))))/((2*sqrt(240))/sqrt(12) + sqrt(20))*-2. -2*sqrt(3)/3 Simplify (-2 + (sqrt(275) + 2 + sqrt(275) + sqrt(275) + -4 + sqrt(275)*-3*-1 + 5)*-6)**2*6. 43200*sqrt(11) + 2140800 Simplify (sqrt(425)*-5 - (1 + sqrt(17) + -3))**2 - ((sqrt(170)*-2)/sqrt(5) + sqrt(34))/(-6*(sqrt(2) + -1*sqrt(2)) + sqrt(2)). -103*sqrt(17) + 11496 Simplify ((sqrt(1216) + 1)*2 + 4)**2 + -2 - ((2 + sqrt(1539)*-1 - sqrt(1539)) + -2*(-1*sqrt(1539) + sqrt(1539))). 210*sqrt(19) + 4896 Simplify (sqrt(12)*-2*-5 - sqrt(12))/(sqrt(484)*2 - sqrt(4)) + -2 + -4 + (-6*(sqrt(75) + sqrt(75) + 0))**2. 3*sqrt(3)/7 + 10794 Simplify (3*-2*(sqrt(882) + (sqrt(882) - 3*sqrt(882))))/((1*sqrt(1728))/(2*sqrt(72) - sqrt(72) - sqrt(72) - sqrt(72))). -21*sqrt(3) Simplify (sqrt(30)/sqrt(2) - sqrt(15))/sqrt(3) + 1*sqrt(5)*-5 - ((sqrt(500) + -2*sqrt(500) - sqrt(500) - sqrt(500)) + 5). -5 + 25*sqrt(5) Simplify (sqrt(2448)*1 + sqrt(2448) + 0 + (-1 + sqrt(2448))*6 - (-4*sqrt(2448) + 5 - sqrt(2448) - (sqrt(2448) + -2)*2))**2 + 2. -5400*sqrt(17) + 551027 Simplify (-5*sqrt(140)/(1*sqrt(7)) - (2*sqrt(30)/sqrt(6) - (sqrt(5) - sqrt(30)/(sqrt(18)/sqrt(3))))) + -1. -12*sqrt(5) - 1 Simplify 1*(-3 + -5*((sqrt(1008) + 1)*-6)**2 + 3*(((sqrt(1008) - (sqrt(1008) + -1))**2 - sqrt(1008)) + -2)). -181626 - 4356*sqrt(7) Simplify (-2*sqrt(60)/sqrt(4) - sqrt(240)*1)/((sqrt(3) + sqrt(12))*-5 - (sqrt(3) + 2*((sqrt(3) - sqrt(3)*3) + sqrt(3)))). 3*sqrt(5)/7 Simplify ((2 + 2*((sqrt(243) - (0 + sqrt(243))) + sqrt(243)) + sqrt(243))**2 - -5*(3 + (sqrt(243)*-2)**2))*4*5. 2160*sqrt(3) + 141320 Simplify (((-1*sqrt(66) - sqrt(66))*1 - sqrt(66))/(sqrt(44)*1))/((sqrt(64)*-3)/sqrt(8)*-3). -sqrt(3)/12 Simplify 1*(3 + (sqrt(242) + -1 + -5)**2) - ((sqrt(162) + sqrt(162) + 0 + sqrt(162))**2*-3 - (sqrt(24)*2)/sqrt(3)). -128*sqrt(2) + 4655 Simplify 3*(1 + (sqrt(320) + 0 + sqrt(320) + sqrt(320) + -1 - sqrt(320) - ((1 + sqrt(320) + sqrt(320))**2 - sqrt(320))*-1) + (-4*(1 + sqrt(320)) + 3)**2 + 0). 312*sqrt(5) + 19206 Simplify ((sqrt(396) + 4*sqrt(396)*2)/(2*sqrt(768)))/(((sqrt(165)*-1)/sqrt(5))/(1*sqrt(396))). -27*sqrt(11)/8 Simplify (5 + (0 + sqrt(1539) + 1 + -1)**2 + (4*(sqrt(1539) - (sqrt(1539) + 2)) - (-5*2*sqrt(1539))**2))*5. -761820 Simplify ((-4*(sqrt(24)/sqrt(4) + sqrt(6)))/(6*sqrt(4)/sqrt(2)))**2 + (sqrt(6)/(sqrt(2) + (sqrt(2)*2 - sqrt(2)) + sqrt(2)) - (2 + sqrt(12)/sqrt(4))). -2*sqrt(3)/3 + 10/3 Simplify (sqrt(198)/sqrt(81))/(sqrt(162)*1) + -4 - 3*(1*sqrt(99)*-6 + sqrt(99) - ((sqrt(99) + 1)*1)**2). 1702*sqrt(11)/27 + 296 Simplify (sqrt(104) + 1*(sqrt(104)*3 + sqrt(104)))/(sqrt(1152)*2 - sqrt(8))*6*6 + 1. 1 + 180*sqrt(13)/23 Simplify -2 + 5 + sqrt(6)/sqrt(2)*4 + (1*sqrt(1215) - sqrt(15))/sqrt(5). 3 + 12*sqrt(3) Simplify -5*(-1*(3*sqrt(1100)*-2 - (-3 + sqrt(1100)*-2 + sqrt(1100)))*-6 + -4)**2. -4950980 + 42000*sqrt(11) Simplify ((sqrt(225)/(-1*sqrt(9)))/sqrt(5) + (sqrt(2160)*2)/sqrt(3) - (2 + 2 + (1*sqrt(720) - (sqrt(5) + -1 + 5))))**2. 720 Simplify -1 + (sqrt(56)/(sqrt(20)/sqrt(5)*5))/(sqrt(14)/(sqrt(7) - (sqrt(7) - -1*(sqrt(28)/sqrt(4) - sqrt(7)) - sqrt(7)))). -1 + sqrt(7)/5 Simplify ((sqrt(119) + sqrt(119)*2)*4 + sqrt(119) - sqrt(119) - 6*sqrt(119)*-2)/(-3*-2*sqrt(175)). 4*sqrt(17)/5 Simplify (1 + 6*-2*sqrt(300) + sqrt(300) + -5*(sqrt(15)/sqrt(80) + 0 + sqrt(3)*-1))**2. -425*sqrt(3)/2 + 541891/16 Simplify (3*(sqrt(432)*-3 - sqrt(432)))/(sqrt(486) + (sqrt(486)*2*-4 - sqrt(486) - sqrt(486))) + -3. -3 + 8*sqrt(2)/9 Simplify (sqrt(132)*6*3 + (-3*-6*sqrt(132) - sqrt(132)))/((5*(-2*sqrt(132) + sqrt(132)))/(-4*sqrt(44))). 56*sqrt(11) Simplify (-2 + (sqrt(539)*-4 + sqrt(539) - sqrt(539)))**2 + 0 + sqrt(539) + 0 + -4 + (-3 + 0 + (sqrt(11) - (5 + sqrt(176))))**2. 167*sqrt(11) + 8787 Simplify ((sqrt(35) - (sqrt(4235) + -3*sqrt(4235))) + (-4*sqrt(70) + sqrt(70))/sqrt(2))/(-2*(sqrt(7) - sqrt(2268))*1). 10*sqrt(5)/17 Simplify (sqrt(187) + sqrt(187) + (-2*sqrt(187) + sqrt(187))*-5 + (sqrt(187) - (-3*(sqrt(187)*1 + sqrt(187)) - sqrt(187))))/(6*-4*sqrt(88)/(sqrt(24)/sqrt(3))). -5*sqrt(17)/8 Simplify ((5*6*(-2*sqrt(85) + sqrt(85))*-4)/(((sqrt(80)/sqrt(4) + sqrt(20))/sqrt(2))/(sqrt(2) + sqrt(128))))**2*-5. -24786000 Simplify 0 + (2*-3*(sqrt(153) + (1 + sqrt(153))*-2 + (sqrt(153) - (sqrt(153) - (sqrt(153) + sqrt(153)*2))*-5)))**2. 4320*sqrt(17) + 550944 Simplify ((3 + sqrt(833)*3)*-6 + 5*(3 + sqrt(833) + 3) + 2)**2. -2548*sqrt(17) + 140973 Simplify ((sqrt(119) - 1*(sqrt(119) + (sqrt(119) + sqrt(119)*4 - sqrt(119)))) + (sqrt(119)*-3 + sqrt(119))*5)/(5*(sqrt(9072) + sqrt(9072)*-1 + sqrt(9072))). -7*sqrt(17)/90 Simplify (6*1*(-3 + (-4 + (sqrt(252) - (sqrt(252) + 1)*4))*-4 + -3))**2. 134784*sqrt(7) + 1330704 Simplify (-5 + (((sqrt(275) - (-5*2*sqrt(275) + sqrt(275))) + sqrt(275) - sqrt(275) - sqrt(275)) + 1 - 6*(sqrt(275)*-1 + 3))*2 + -3)**2. -12600*sqrt(11) + 249264 Simplify (1 + (1 + sqrt(720) + 0 + 5 - -5*(-4*(-1 + sqrt(720)))**2))*3. -5724*sqrt(5) + 173061 Simplify ((2*2*sqrt(114) - sqrt(114))*-5*6)/((sqrt(144)*-3)/(sqrt(48)/(2*sqrt(8)))). 15*sqrt(19)/2 Simplify (4*(sqrt(204) + (sqrt(204)*-1 - sqrt(204)) + sqrt(204)) + 6*(sqrt(204) - sqrt(204)*3))/(-6*sqrt(72)/(sqrt(6)*3)). 6*sqrt(17) Simplify -2 + 0 + 1*(-4 + sqrt(363)*-1)**2 + 0 + -2. 88*sqrt(3) + 375 Simplify (((sqrt(228)*-1 + sqrt(228))*-2 - sqrt(228))*-2)/((6*(sqrt(96) + 3*sqrt(96)) + sqrt(96) - sqrt(96))/sqrt(8)). sqrt(19)/12 Simplify 5 + -2 + 3*(sqrt(99)/(sqrt(6)/sqrt(2)))/sqrt(11) + (sqrt(18)/(sqrt(24)/sqrt(4)) - (sqrt(120)/sqrt(10) - sqrt(3))). 3 + 3*sqrt(3) Simplify 4 + (-1 + sqrt(931))**2*1 + 4 + (2*(4 + sqrt(931) + -3)*6)**2. 2002*sqrt(19) + 135148 Simplify (3*(sqrt(704) + 2*sqrt(704)*2))**2 + (sqrt(33) + sqrt(132)/sqrt(4)*2)/(-6*sqrt(3)*1). -sqrt(11)/2 + 158400 Simplify (-2 + ((sqrt(98) + 0)*-5*-5 - (-5*((sqrt(98) + 2 + sqrt(98) + 4 + sqrt(98) + sqrt(98) - sqrt(98)) + sqrt(98)))**2))*-4. 32900*sqrt(2) + 160408 Simplify -6*((-5*-1*(sqrt(153)*-1*4 + (sqrt(153)*-2*2 - sqrt(153)))*-4)**2 + -1). -29743194 Simplify 6*(1 + 2 + (sqrt(70) - (sqrt(70) + (sqrt(70) + -3*sqrt(70) - sqrt(70))))/sqrt(10) + sqrt(7) + sqrt(168)/sqrt(6))*-4. -144*sqrt(7) - 72 Simplify (-4 + (0 + sqrt(847) - sqrt(847)) + -5)**2 - -2*(sqrt(112) + -2)**2. -32*sqrt(7) + 313 Simplify 6*-3*((2*(sqrt(1573) + 1) + sqrt(1573) + sqrt(1573))*-5 + -3*(sqrt(1573) + sqrt(1573)*-1 + 5 + sqrt(1573) + sqrt(1573))**2). 15840*sqrt(13) + 341298 Simplify 4*((((sqrt(1008) - (0 + sqrt(1008))) + -5 - sqrt(1008))*4 + 1)**2*-6 + 2) + 0. -395728 - 43776*sqrt(7) Simplify -1*(-5*(2 + -3 + (sqrt(720) - (2 + sqrt(720) + 0) - sqrt(720))*6 + -4))**2. -655225 - 61200*sqrt(5) Simplify -6*-3*((4 + sqrt(448)*-2)**2 - (sqrt(448) + 3 + (sqrt(448) + 2)**2))*-6. -146124 + 18144*sqrt
{ "pile_set_name": "DM Mathematics" }
-72)*15? 25 15*(-4*3/12)/(-3) 5 Calculate (-265)/53*24/(-11)*66/440. 18/11 Calculate ((-50)/375)/(1*32/(-200)). 5/6 ((-65)/(-3380))/((-16)/(-32)) 1/26 Calculate ((-9)/6)/((-4)/256*-40). -12/5 Calculate (956/15057)/((24/(-7))/4). -2/27 What is the value of 12/9*((-2)/4)/(560/224)? -4/15 Calculate 4*(-102)/340*(-5)/(-6)*-3. 3 What is ((8/84)/((-2)/(-24)))/(415/(-5810))? -16 What is the value of ((-57)/(-4))/(2154/(-2872))? -19 Evaluate (-450)/(-120)*32/20. 6 Evaluate ((-11)/616*-14)/(1/(-7)). -7/4 (((-22875)/(-1708))/25)/(2/16*3) 10/7 Calculate ((-2)/(-12))/((-940)/(-240)). 2/47 What is the value of (3/36)/((44/(-33))/4)? -1/4 (4/(-18))/((-154)/(-594)) -6/7 What is the value of ((672/(-8))/21)/((112/(-12))/7)? 3 Calculate ((-54)/12)/(45/(-20))*7/(-6). -7/3 Evaluate (-669)/(-13380)*2*5. 1/2 What is the value of (-6)/(-56)*(25/15)/5? 1/28 Evaluate (2*8/32*21)/((-10)/20). -21 What is 10584/(-1470)*(-5)/78? 6/13 Evaluate (((-28)/8)/1)/((-1015)/10440). 36 ((-39)/(234/(-12)))/(1*(-2)/16) -16 ((-69)/(-230))/((-102)/8) -2/85 Calculate -5*((-1)/34*-4)/(26/442). -10 6/(-9)*(-110)/33*9 20 Calculate 3/1*(-65)/30*2. -13 Calculate (1/(-2))/((-7389)/(-8210)). -5/9 What is the value of (((-1344)/189)/(-32))/(3/63)? 14/3 Evaluate ((-9)/(-30))/((-244)/(-305)). 3/8 What is the value of (-12)/(-45)*10/(280/42)? 2/5 Calculate (-6)/(-24)*(-6)/198*-6. 1/22 (-130)/728*(-15)/(-75)*2*3 -3/14 Calculate 0*1/(-2)*1. 0 Evaluate 213/(-284)*2/6*(-2)/2. 1/4 What is the value of 511/(-949)*14/49? -2/13 What is the value of ((-3249)/(-8664))/(10/48)? 9/5 What is ((-1302)/1395)/(-8*(-2)/20)? -7/6 Evaluate ((-2)/9)/(630/1134). -2/5 3*1*132/(-396) -1 Evaluate (-95)/570*20/15. -2/9 What is the value of ((-18746)/(-1030))/((-35)/(-25))? 13 (-90)/(-12)*34/(-51) -5 What is the value of (-12)/(-10)*1005/804? 3/2 Evaluate 5/(5/(-16))*7/(-14). 8 Calculate ((-152)/(-2736)*27/2)/((-81)/(-48)). 4/9 What is the value of 8/(-20)*((-30)/(-20))/(3/(-5))? 1 Calculate 2*((-880)/288)/11*1*-3. 5/3 What is the value of ((-4)/(-5))/(((-87)/(-3480))/((-2)/(-72)))? 8/9 What is 20/6*-1*28/(2016/(-162))? 15/2 What is the value of ((-16)/4)/((-658)/(-94))? -4/7 Evaluate (2*(16/20)/2)/(2/(-5)). -2 Evaluate 3*(((-26)/24)/(-1))/((-54)/216). -13 What is 6/(-14)*(-3)/((-9)/(-1))? 1/7 Calculate ((-147)/14)/((-15)/20). 14 What is 40/15*(-72)/(-48)? 4 3068/16107*(-9)/4 -3/7 What is (-28)/(-140)*1*5? 1 1/(4*1)*188/(-94) -1/2 Evaluate (-372)/(-31)*4/(-6). -8 What is 1*11/55*-3? -3/5 Evaluate 54/324*(-7)/((-280)/15). 1/16 (-10)/44*(-1560)/(-1300) -3/11 Evaluate 4/(12/9)*49/35*-5. -21 Evaluate 2*(9333/(-18))/61. -17 (-20)/(-340)*(-2)/(8/4) -1/17 150/21*(-5432)/(-970) 40 Calculate (2/(-9)*-6)/(2/(-3)). -2 Evaluate (-3296)/(-1236)*3/(-2). -4 Calculate (7/98)/((-1)/(-20))*22/770. 2/49 Calculate (10/160)/(20/(-600*1)). -15/8 (-576)/352*(-121)/110 9/5 What is the value of ((-24)/(-10))/(-5*32/(-600))? 9 Calculate (20/(-25))/(((-36)/54)/((-15)/(-9))). 2 Calculate ((-30)/35)/((-4905)/(-1526)). -4/15 Calculate ((24/84)/(20/28))/((-96)/90). -3/8 Evaluate (-84)/(-7)*(2/(-12))/((-34)/68). 4 Evaluate ((-25)/20)/(21*70/(-504)). 3/7 What is (((-18)/(-84))/(153/(-119)))/((-20)/6)? 1/20 Calculate ((-180)/240)/((-10)/(-360)). -27 Evaluate (1/5)/(610/(-1220)). -2/5 What is (-16)/96*18/4*(-8)/3? 2 What is 26/(5824/144)*(-2)/6? -3/14 Evaluate (-5)/((-70)/8)*(84/48)/7. 1/7 Calculate (-34)/6*-24*79/316. 34 What is (704/(-120))/(-22)*6/20? 2/25 What is (33/(693/(-6)))/(-4)? 1/14 What is the value of (-38)/266*(-2)/(-2)? -1/7 What is ((-156)/195)/(10/(-15))*40/(-12)? -4 Evaluate 48/(-32)*6/(-21). 3/7 What is (6/25)/((-1602)/1780)? -4/15 72/(-54)*484/264*(-18)/4 11 Evaluate 5/(-20)*1*(-324)/(-9). -9 Calculate ((-5)/180)/(319/11484). -1 (48*(-30)/(-960))/(7*(-9)/(-12)) 2/7 ((-28)/(-28))/((-1)/3)*(-32)/84 8/7 What is 3/(-8)*((-8)/28)/(102/(-119))? -1/8 What is the value of ((-1)/10*4)/(102/30)? -2/17 1*30*(-27)/8100*-36 18/5 What is (-57)/4*(-1560)/14820? 3/2 What is (6/3)/(-2*19/304)? -16 What is the value of (10*4/(-10))/(((-4)/(-5))/(-2))? 10 Evaluate 6*(-5)/40*-2*14. 21 Calculate (-12)/3*(120/135)/4. -8/9 (-6545)/154*(-2)/5 17 Calculate ((-3)/((-45)/(-20)))/(((-488)/(-6))/(-2)). 2/61 2/(-16)*(-520)/(-5) -13 What is (-827)/3308*128/14? -16/7 What is the value of (-303)/808*(1200/(-9))/5? 10 (-4)/(-3)*90/24*-2 -10 Calculate (23/(-138))/(2/(-36)*2). 3/2 What is the value of 24/174*21*2/84? 2/29 What is (1/((-15)/9))/(432/576)? -4/5 What is the value of (-7)/(105/(-6))*(135/(-30))/(-3)? 3/5 (-580)/4350*3/(-1) 2/5 What is the value of ((-72)/(-2))/(8*(-4)/(-8))? 9 What is the value of 62/31*5/65? 2/13 Calculate (((-558)/(-84))/31)/(18/147). 7/4 Evaluate 14*1/((-91)/104)*-1. 16 Evaluate ((-2608)/1141)/(-1*2/(-7)). -8 What is 15*(3/(-150))/(160/600)? -9/8 What is 2/((-115)/299*8/(-10))*4? 26 What is ((-2)/(-1)*(-1)/5)/((-6)/165)? 11 Evaluate (15/6)/5*(160/(-6))/(-20). 2/3 Calculate (5/(-61))/((-50)/(-35)*(-588)/336). 2/61 What is the value of (58/(-14))/((324/126)/18)? -29 (18/24)/((-101)/(-3232)) 24 Calculate (-26)/2*75/(-75). 13 What is ((-23)/(1495/15))/((-3)/2)*-1? -2/13 What is 24/300*(-105)/168? -1/20 Evaluate (4/(-32)*846/47)/((-6)/2). 3/4 Calculate 0/(-1)*((-960)/(-30))/32. 0 What is (16/(-128))/((-66)/72)? 3/22 What is the value of (5/((-125)/(-10)))/((-4)/(-20))? 2 ((-300)/54)/(210/(-945)) 25 Calculate ((-23)/((-3059)/380))/(6/(-21)). -10 Calculate ((-966)/(-322))/(-2*2*(-3)/(-12)). -3 Calculate -8*((10/(-7))/10)/((-2)/(-7)). 4 Evaluate 1260/693*(-11)/(-14). 10/7 1*(-3)/(-28)*((-160)/60)/4 -1/14 -6*((-55)/(-30))/(-11)*-1*1 -1 Calculate (4/6)/(4/6)*(-864)/2880. -3/10 What is the value of ((-424)/954)/((-2)/18)? 4 Evaluate (-7)/(133/6)*-6*8/144. 2/19 Evaluate 3*(-1)/20*-2*(-56)/126. -2/15 Evaluate (1/3)/(52/(-1092)*(-1)/(-3)). -21 Evaluate 2*9/(-9)*10/(-20). 1 What is the value of (-42)/56*2576/(-84)? 23 What is the value of ((-12)/28)/((-192)/(-336))? -3/4 Evaluate (2727/606)/(15/(-80)). -24 Evaluate (((-4)/8)/(18/9))/2. -1/8 ((-480)/720)/(6/27) -3 (114/(-380))/(19/(-190)) 3 Calculate -41*(-8)/328*3/(-14). -3/14 What is the value of 5978/(-1281)*(-414)/84? 23 What is the value of (-5)/(8/(8/1))? -5 What is the value of 12/(-10)*(3645/(-126))/81? 3/7 Evaluate 1/(8/16*-5). -2/5 What is -39*70/(-4095)*-24? -16 Evaluate (1880/(-282))/(1/(-3)). 20 What is -8*130/104*2/2*1? -10 Evaluate (-28)/98*(-252)/180. 2/5 What is the value of (9/180*-5)/((-126)/(-216))? -3/7 Evaluate (336/(-1568))/(1/(-14)). 3 Calculate ((-10)/24*2)/((-25)/(-150)). -5 Calculate 21/(-56)*((-64)/(-6))/(-2). 2 What is 9/(-15)*70200/1620? -26 Calculate ((-9576)/24)/(-19)*-1. -21 Evaluate (-16)/32*(-48)/(-81)*-3. 8/9 What is the value of (12/(-140))/((-80)/2800)? 3 18/18*126/18 7 What is the value of ((10/15)/((-26)/195))/1? -5 (10/((-40)/(-12)))/(9/(-12)) -4 What is -1*91/((-1547)/(-680))? -40 Calculate (((-361)/(-19))/(-722))/(((-8)/(-4))/(-4)). 1/19 Calculate (-30)/(35/(525/30)). -15 6/(-2)*(-158)/(-1264) -3/8 (-17)/((-272)/192)*(4/60)/(-1) -4/5 What is ((-8)/(32/12))/(((-6831)/46)/(-11))? -2/9 (-9)/3*17/561 -1/11 What is (15/9)/(765/(-7344))? -16 (-105)/(-3710)*1/(18/(-24)) -2/53 Evaluate ((-10)/50)/((30/36)/5). -6/5 30/(-2)*(-2)/(-3) -10 (27/(810/(-8)))/((-3)/9) 4/5 What is (-1173)/(-68)*(-76)/(-57)? 23 Evaluate -2*(-8)/22*((-33)/12)/(-11). 2/11 What is 15/6*7*672/840? 14 What is the value of (220/187)/((-48)/(-216)*9)? 10/17 (-3)/(-66)*(-54)/72*22/(-3) 1/4 What is the value of ((-8)/(-198))/((-16)/24)? -2/33 Calculate (13/(-2))/(30/((-1740)/29)). 13 Calculate (-7*7*88/(-308))/(-2). -7 Evaluate (4/7)/(7*16/(-1960)). -10 What is (-70)/(-30)*(1539/(-315))/(-19)? 3/5 What is the value of ((-24)/(-30))/((-352)/(-110))? 1/4 (-3)/3*1*13*(-24)/312 1 Calculate -2*((-836)/(-8))/19. -11 Calculate 360/(-2700)*1/(-4)*-2. -1/15 What is the value of ((-8316)/1134)/(2/3)? -11 Calculate ((-3)/(-12)*-3)/((-153)/(-510)). -5/2 Calculate (-20)/(-264)*550/500. 1/12 Evaluate 24/15*(-246)/2952. -2/15 Evaluate (8/192*8)/(13/((-234)/(-192))). 1/32 (-15)/15*((-4)/16)/((-3)/(-3)) 1/4 ((1/(-4))/(90/(-120)))/(20/75) 5/4 (1*(-3)/(63/6))/((-14)/(-784)) -16 What is the value of -2*-10*1/(-20)? -1 What is 43/(-86)*(-40)/(-2)? -10 What is 9*(-6)/(-63)*(-315)/(-2340)? 3/26 What is -2*(102/544*-8)/((-3)
{ "pile_set_name": "DM Mathematics" }
is ((-1)/(-20))/((-10)/(-80)*1)? 2/5 What is the value of ((-1)/(-6))/((810/(-30))/405)? -5/2 Evaluate 28*((-287)/(-84))/41*3. 7 Calculate 2296/(-410)*30/(-192). 7/8 What is the value of (-24)/(-54)*-27*5/30? -2 What is ((-111)/148)/((495/3)/5)? -1/44 What is (((-1)/(-3))/((-6)/(-126)))/1? 7 What is the value of 6/(-188)*2*17/(612/(-24))? 2/47 What is the value of ((-3)/(-20))/((-136)/(-544))? 3/5 166/581*-1*7 -2 ((-720)/(-6192))/((-3)/((-30)/25)) 2/43 Evaluate 108/(-12)*(3/(-15))/1. 9/5 Evaluate -55*(-4)/(-120)*-4*6/4. 11 What is the value of (2/(-4))/1*(-154)/(-70)*2? -11/5 What is (24/432)/(4/(-24)*3)? -1/9 What is 670/(-201)*4/(-12)? 10/9 Evaluate (21/(-3)*(-51)/(8568/48))/1. 2 What is (56/112)/(6/(-132))? -11 (-396)/(-108)*6/(-33) -2/3 Calculate 6/(-84)*-8*(-182)/(-234). 4/9 What is the value of (-27)/(-90)*-35*120/(-35)? 36 Calculate (18/(-15))/((-14)/(-1470)*21). -6 Calculate ((-6)/1458*-9)/(((-16)/(-9))/8). 1/6 What is the value of 40/(-504)*90/(-75)? 2/21 What is the value of ((-2)/((-68)/(-255)))/((27/24)/(-3))? 20 Calculate ((-162)/(-18)*(-4)/22)/((-1)/11). 18 What is 96/(-162)*(-72)/32? 4/3 Evaluate 378/(-486)*(-8)/(-21)*15/(-20). 2/9 (2*5/(-5))/(13/(-234)*3) 12 Calculate (-77*(-2)/44)/((-4)/8). -7 What is ((5175/(-875))/(-69))/((-4)/(-28))? 3/5 What is (-6)/36*(6/8)/((-3)/(-88))? -11/3 ((-10)/10)/(22/176) -8 What is the value of -9*-7*(13/1)/(-91)? -9 What is the value of (8829/26487)/(((-4)/6)/(4/21))? -2/21 What is the value of 3/(-6)*(-2)/3*165/1760? 1/32 What is the value of 3/(-12)*10*2/(-10)*1? 1/2 What is the value of ((-5)/((-25)/(-5)))/(70/(-56))? 4/5 Calculate (5/25)/((-199)/(-30845)). 31 What is (((-4)/(-18))/((-5)/15))/(450/(-11475))? 17 Calculate ((-1277)/(-7662))/((-1)/((-348)/(-2))). -29 Evaluate (2*-3)/((-60)/(-5070)*-39). 13 ((-660)/210)/(6/(-21)) 11 Evaluate (-560)/(-32)*164/(-205). -14 What is (27/5)/((1098/(-1281))/(40/14))? -18 Calculate (24/(-112))/((-165)/(-44)). -2/35 Evaluate 3/2*(24/(-60))/(45/75). -1 Evaluate (-21)/(5733/26)*3. -2/7 Evaluate (-72*19/(-1064))/((-3)/(-21)). 9 Calculate 23/(-46)*5/((-15)/72). 12 (120/(-18))/(((-110)/(-4))/(-11)) 8/3 Evaluate (179/(-358))/(-1*(-4)/2). -1/4 What is the value of ((-10)/(-8))/(-6*(-6)/576)? 20 Evaluate 1/4*153/102. 3/8 What is the value of (23/((-1380)/24))/((12/10)/(-1))? 1/3 Calculate ((-392)/(-70))/14*(-2)/48*5. -1/12 Evaluate (6/(-9))/(3/27)*4/(-4). 6 13*138/(-46)*1 -39 Calculate (-160)/720*(-14)/(-7). -4/9 45*(-12)/(-486)*3/15*-2 -4/9 (-14*4/(-28))/(1/(51/(-6))) -17 Calculate ((-132)/168)/((-2)/(-28)). -11 What is (2/(-10))/((-4741)/(-2155)*6/11)? -1/6 What is (165/210)/((-2)/(-28))? 11 Evaluate 4/((-6)/(-2)*(-4)/(-12)). 4 Evaluate ((3/1)/9)/(11/(-231)*-49). 1/7 What is -13*(-3)/(-9)*14/(-252)*-54? -13 Evaluate -1*10/(-14)*(-155)/((-24025)/(-62)). -2/7 Evaluate ((4/(-18))/((-21)/126))/((-5)/15). -4 Evaluate ((-18)/(-45))/1*((-225)/(-160))/(-9). -1/16 ((-14)/(-78))/((-763)/(-3924)) 12/13 (-63)/(-2)*(-3162)/3689 -27 What is the value of (-2)/(-20)*31500/450? 7 What is the value of (2/15*-1)/((-52)/780)? 2 What is ((-108)/2)/(-3)*(-2)/4? -9 Calculate 78/(-351)*36/16. -1/2 (22/(-66))/((7/(-3))/(11/(-11))) -1/7 What is (3/(-11))/((-193)/2123)*-11? -33 What is ((-28)/(-245)*-5)/((-12)/(-42))? -2 Evaluate (-2440)/7686*7/(-1). 20/9 Calculate (((-2)/(-3))/((-42)/63))/((-115)/(-10)). -2/23 Evaluate (6/(-7))/(2/65*(-300)/280). 26 Evaluate (-3*5/15)/((-4)/(-176)*2). -22 What is the value of ((-6)/3)/(-38)*-1*45/45? -1/19 Evaluate (24/20)/(6/15)*14/(-6). -7 Calculate (-3)/(-66)*42/(-14)*4. -6/11 What is the value of 1*4/(-30)*75/(-180)? 1/18 Evaluate ((-11)/(-54))/11*(-30)/(-5). 1/9 72/18*(15/25)/((-6)/(-35)) 14 73205/(-15972)*16/(-10) 22/3 ((-198)/12)/((-10)/((-40)/3)) -22 ((-15)/9*(-66)/(-55))/((-100)/110) 11/5 (9/9)/((-8)/(-64)) 8 Calculate (2/8)/(112/5376). 12 What is the value of (-522)/(-58)*10/(-6)? -15 Evaluate (((-144)/448)/9)/(75/60). -1/35 What is the value of (16/(-14))/((-138)/161)*5/(-40)? -1/6 What is (((-588)/(-2205))/((-2)/57))/((-2)/5)? 19 Calculate 2/4*(-40)/(-5)*135/90. 6 What is -6*134/603*15/(-4)? 5 Calculate 23/115*-4*(-10)/24. 1/3 Calculate -1*19/247*2. -2/13 (14/42*6/(-100))/(11/(-22)) 1/25 Calculate 13/((-39)/(-6))*2/(92/(-2)). -2/23 What is ((-55)/2)/((-910)/(-364))? -11 What is the value of (-30)/39*2197/(-169)? 10 What is the value of ((-1)/(-2)*1408/(-9504))/(4/(-18))? 1/3 What is (((-6)/(-8))/(5/((-1200)/(-45))))/(-62)? -2/31 What is (-420)/9555*(-21)/(15/5)? 4/13 What is 9*(-9)/162*16? -8 Calculate (-28)/(-5)*790/553. 8 Evaluate (93/1364)/(((-132)/8)/11). -1/22 What is the value of (-97)/776*(-8)/(-9)? -1/9 Calculate (-12)/(-3)*(-10)/(-4)*4/(-10). -4 What is the value of 210/(-10)*(-26)/546? 1 Evaluate ((-165)/(-30))/(4/8). 11 Evaluate ((-6)/(-8))/((-123)/(-36736)*-16). -14 Evaluate 16/(-104)*(1885/(-270))/29. 1/27 24*(-5*7/140)/((-3)/(-6)) -12 What is (-3)/2*14*(-92)/483? 4 Evaluate 15*8/36*-24*(-2)/(-20). -8 What is -5*(-30)/10*(-3)/(-15)*-6? -18 Calculate (3/(-11))/((-108)/(-66)). -1/6 What is ((-896)/(-336))/(1*2/9)? 12 (-54)/(-90)*20/126*24/8 2/7 Calculate ((-2)/8)/(((-384)/(-80))/(-12)). 5/8 (-68)/(-4437)*90/(-20) -2/29 What is the value of ((-959)/548*(-10)/(-28))/(-1)? 5/8 What is ((1/4)/(143/572))/(-11)? -1/11 Calculate (-35*(-7)/(-196))/((-2)/(-8)). -5 Evaluate (396/42)/3*((-1386)/36)/11. -11 What is 5*808/606*21/20? 7 What is the value of 512/1152*36/424? 2/53 What is 42/(-1225)*23/(69/14)? -4/25 What is (3340/(-412490))/(1/(38/(-2)))? 2/13 What is (2/(-2))/((8/(-44))/((-2)/(-1)))? 11 What is the value of (((-28)/(-21))/4)/((-260)/(-60))? 1/13 What is (546/(-637))/((-90)/(-14))? -2/15 What is the value of -16*3*((-108)/((-378)/14))/6? -32 What is (22/11)/((-888)/12)*1/(-1)? 1/37 What is 1624/1421*(1/13)/(6/(-21))? -4/13 Calculate 53/(-53)*(-4)/8*2/5. 1/5 What is the value of 1*1/3*(-2475)/75? -11 What is the value of 1*(((-132)/8)/(-11))/((-12)/(-112))? 14 What is 2/3*4/32*(-459)/153? -1/4 Evaluate (6/(-13))/(-2)*3040/(-1824). -5/13 What is the value of (423/376)/(-4*(-4)/128)? 9 Calculate ((-4)/18)/((-7371)/(-1701)). -2/39 Evaluate (1/(-2))/((-24)/168*(-2)/8). -14 Evaluate 7/(35/40)*-10*16/(-480). 8/3 What is the value of (-1)/51*(-1620)/(-270)? -2/17 -13*(-486)/5616*(-64)/(-132) 6/11 What is (((-952)/420)/(-17))/2? 1/15 Calculate 17/17*(-20)/12*3. -5 What is 15/(-150)*(-95)/(-57)? -1/6 ((4602/(-1144))/59)/((-2)/8) 3/11 What is the value of 14/(5054/(-19))*-19? 1 Calculate -1*(80/(-88))/(-5). -2/11 (-40)/16*(-44)/(-605) -2/11 115/(-276)*6*(-1)/(-15) -1/6 Evaluate ((-23)/11868*-12)/1. 1/43 What is 11/(-3)*369/(-123)? 11 What is (-109)/(-436)*(-12)/(-3)? 1 What is the value of (17/(1768/(-96)))/(2/1)? -6/13 Calculate ((-65)/(-13)*234/(-2145))/(2/(-110)). 30 Calculate ((-105)/100)/(126/(-210)). 7/4 What is 505/303*(-6)/(-4)*-4? -10 (-1)/4*-2*526/1052 1/4 What is the value of (-21)/(-12)*(-16)/20*2010/201? -14 What is 416/676*(-13)/38? -4/19 What is the value of (20/3)/((-4065)/(-14634))? 24 Calculate ((-26)/3)/((366/915)/((-6)/(-10))). -13 Calculate (280/(-84))/((-80)/(-72)). -3 Calculate (189/90)/((-1330)/1425). -9/4 What is the value of 9/(-6)*29/(-58)*(-8)/(-3)? 2 Calculate (-2)/(-10)*(-12)/(-64)*4*-8. -6/5 Calculate (-108)/(-648)*((-2040)/(-4))/5. 17 Calculate ((-2)/(-10))/((-54)/180*6). -1/9 Evaluate 24/70*(-150)/90. -4/7 What is (96/(-128))/((-5)/100)? 15 What is (208/(-3744))/((-2)/(-8))? -2/9 ((290/(-203))/((-8)/7))/((-5)/20) -5 ((-392)/(-490))/(2/10*18) 2/9 What is (130/8)/(3640/2912)? 13 Evaluate 3*9/((-117)/13). -3 What is 4/5*(-1500)/90*(-6)/90? 8/9 (2/(-96))/((-2)/(-3)*(-103)/(-206)) -1/16 (-2)/6*(234/54)/(3/(-27)) 13 Calculate ((-150)/1500)/(14/20). -1/7 -3*6/72*9*20/(-15) 3 ((-30)/90)/((1/4)/((-3)/(-4))) -1 Calculate (879/(-293))/(3/22). -22 What is the value of (11/(66/9))/((-10)/(-10))*4? 6 ((-2)/2)/((-17)/(-1)*(-5)/(-10)) -2/17 Calculate -15*(-15)/15*4*(-1)/(-12). 5 Evaluate (1/5)/((-122)/610)*1/(-4). 1/4 Evaluate (-60)/16*(-492)/(-205). -9 What is the value of (-6)/7*(-172)/1032? 1/7 (((-124)/(-155))/(-1))/((-66)/(-5)) -2/33 What is the value of (-14)/((-1050)/(-3))*-5? 1/5 Calculate ((-276)/(-1656))/((-5)/6). -1/5 What is the value of 104/20*-20*12/96? -13 Calculate (460/3)/(-23)*((-144)/20)/(-3). -16 (2
{ "pile_set_name": "DM Mathematics" }
(8))**2 - (-3*(sqrt(55)/sqrt(5) + 2))**2)*1. -36*sqrt(11) - 91 Simplify ((sqrt(80) + 2 + -2 - sqrt(80) - ((sqrt(80) - (-5*(sqrt(80)*2 + sqrt(80) + sqrt(80)) + sqrt(80))) + sqrt(80) + sqrt(80))) + 5)**2. -880*sqrt(5) + 38745 Simplify 2*4*(5 + -1*sqrt(1216)). -64*sqrt(19) + 40 Simplify (-4*(-4 + -4*(sqrt(33)/(sqrt(6)/sqrt(2)) + (sqrt(66)/sqrt(3))/sqrt(2))))**2. 1024*sqrt(11) + 11520 Simplify -3 + 1*(5*sqrt(1008)*-1 + (sqrt(1008) + ((sqrt(1008) + sqrt(1008) + 0)*5 - sqrt(1008)))**2). -60*sqrt(7) + 100797 Simplify 5 + (2*5*sqrt(35) - sqrt(35))/((sqrt(60)/sqrt(2))/sqrt(6)). 5 + 9*sqrt(7) Simplify sqrt(78)/(-2*sqrt(24))*-3 + -1. -1 + 3*sqrt(13)/4 Simplify (4*(((-2 + sqrt(1539))*2 - sqrt(1539))*-6 + 2))**2. -44928*sqrt(19) + 897280 Simplify (-1 + 3 + (-1 + (1*sqrt(7) - sqrt(7)))*5 + -1)**2. 16 Simplify (sqrt(896) + (-4*sqrt(896) + sqrt(896) - sqrt(896)))/sqrt(8) + (sqrt(126)/sqrt(18))/sqrt(9). -35*sqrt(7)/3 Simplify (sqrt(204)*4*-3 + sqrt(204) - sqrt(204))/(-3*sqrt(12)*1). 4*sqrt(17) Simplify (sqrt(147) + -3*(sqrt(147) + (sqrt(147)*-1 + sqrt(147) - sqrt(147)) + sqrt(147)) - 6*(sqrt(147)*1 - sqrt(147)))**2 - (sqrt(147)*2*3 + -1). -42*sqrt(3) + 589 Simplify 3*sqrt(5)*1*4 + (sqrt(720) - (2*sqrt(720)*-4)**2). -46080 + 24*sqrt(5) Simplify ((((sqrt(209) - (sqrt(209) - sqrt(209)*-2)) + sqrt(209))*-4)/sqrt(11) + 3)*4. 12 + 16*sqrt(19) Simplify -4 + ((-3 + (sqrt(272) - -2*sqrt(272)) - (sqrt(272) + sqrt(272)*-1 + -2 + sqrt(272)))**2 - -5*((sqrt(272) + 0)**2*1 - sqrt(272))). -36*sqrt(17) + 2445 Simplify ((sqrt(121) - (-1*sqrt(121)*-2 + sqrt(121) - sqrt(121))) + -5*sqrt(121)*1)/((sqrt(132)/sqrt(3))/sqrt(4) - (sqrt(33)/sqrt(3)*1 - sqrt(11))). -6*sqrt(11) Simplify (5*(4*sqrt(77) - sqrt(77)))/(sqrt(7) - sqrt(112)/sqrt(4)). -15*sqrt(11) Simplify (sqrt(405) - (sqrt(405) + 5))*6 + sqrt(405)*-4*5. -180*sqrt(5) - 30 Simplify 0 + 3 + sqrt(156)/(sqrt(192)*-5) + -1. -sqrt(13)/20 + 2 Simplify (sqrt(2541)*-3)/sqrt(3) + (sqrt(28)/(sqrt(16) - sqrt(4)) + 3)**2. -27*sqrt(7) + 16 Simplify (-1*sqrt(875)*-1 + sqrt(875) - sqrt(875))/(1*sqrt(80)*2). 5*sqrt(7)/8 Simplify (((sqrt(15) + (sqrt(1215)*-1 + sqrt(1215) - sqrt(15)))*5)/((2*sqrt(3)*1 - sqrt(3))*-2))**2. 0 Simplify ((5*sqrt(1377)*-1 - sqrt(1377)) + (sqrt(1377) + sqrt(1377) + -3)*-3)**2. -1944*sqrt(17) + 198369 Simplify (-6*sqrt(55)*1)/(sqrt(132)/(sqrt(36)/sqrt(3))) - (sqrt(25) - (sqrt(200)/sqrt(32) - sqrt(25)))/(-5*sqrt(10)/sqrt(2)). -57*sqrt(5)/10 Simplify (sqrt(11)*-3*-1 + 4 + -5 + 2)**2*4*-2. -800 - 48*sqrt(11) Simplify 2 + (sqrt(35) - sqrt(105)/sqrt(3)*-3)/(-6*sqrt(14)/sqrt(2) + sqrt(7)). -4*sqrt(5)/5 + 2 Simplify -3 + (sqrt(891) - 6*(sqrt(891) - sqrt(891)*2))**2*4 + 1. 174634 Simplify 6*((sqrt(30)/(sqrt(3)*-4))/(sqrt(125) + 4*sqrt(125)))**2. 3/2500 Simplify 1 + sqrt(45)/sqrt(144) + -5 + ((2*sqrt(80)*2 + sqrt(80))*1)**2. sqrt(5)/4 + 1996 Simplify (-1 + sqrt(242))**2 + 3 + (sqrt(2) - ((sqrt(2)*-2)**2 + 2)) + sqrt(12)/sqrt(54). -62*sqrt(2)/3 + 236 Simplify ((sqrt(32) + -3 + sqrt(128)/sqrt(4) - (-1*sqrt(32) + -4)) + 0)**2. 24*sqrt(2) + 289 Simplify (-6*(-1*(0 + sqrt(448) + 2) + 3))**2. -576*sqrt(7) + 16164 Simplify (sqrt(605) + -5*(1 + sqrt(605)) + -4 + sqrt(605)*2 + sqrt(605) + -3 + -5)**2. 374*sqrt(5) + 894 Simplify (sqrt(99)*-5 + -4 - (1 + sqrt(11) + 3 - (sqrt(44) + (sqrt(1100) - sqrt(44)))/sqrt(4)))**2. 176*sqrt(11) + 1395 Simplify 0 + (sqrt(20))**2 + 3 - 6*sqrt(5)*-4*-2. -48*sqrt(5) + 23 Simplify ((4 + sqrt(13)*4)*3 - (-2 + sqrt(26)/sqrt(2) + 5))**2. 198*sqrt(13) + 1654 Simplify 4*(2 + (4 + -5 + -4*(sqrt(1088) + 0))**2). 256*sqrt(17) + 69644 Simplify ((3*1*sqrt(24))/sqrt(12) - (sqrt(14) - -1*sqrt(28)/sqrt(2))/sqrt(7)) + 5. sqrt(2) + 5 Simplify -4*(sqrt(2057) - (sqrt(2057) + -1))*6 + 1. -23 Simplify (((sqrt(66)*4)/sqrt(11))/(sqrt(24)/(-3*sqrt(12))))**2. 432 Simplify (-4*(-1*sqrt(1377)*6 - ((sqrt(1377) - (sqrt(1377) + 0)) + 0)))**2. 793152 Simplify 3*-1*(sqrt(45)/sqrt(9) + 2 - sqrt(35)/(sqrt(70)/sqrt(10))). -6 Simplify 4 + ((5 + -4*sqrt(72))*-6*5)**2. -216000*sqrt(2) + 1059304 Simplify ((sqrt(171) + -5*-1*sqrt(171) + sqrt(171))/(-4*sqrt(225)))**2. 931/400 Simplify (((sqrt(108)/sqrt(3))/sqrt(9))/sqrt(2))**2 + -4 + ((sqrt(2)*-2)**2 + 1 - sqrt(10)/(2*sqrt(5))). -sqrt(2)/2 + 7 Simplify 4*(2 + -4 + (1 + sqrt(1900) - 2*sqrt(38)/sqrt(2))). -4 + 32*sqrt(19) Simplify (sqrt(192) - sqrt(192)*-5*-4 - (sqrt(147) + -4)*-6)**2. 5280*sqrt(3) + 36876 Simplify (-2*sqrt(1584)*-5 + (sqrt(11) + (sqrt(66)/sqrt(2))/sqrt(3) - (sqrt(11) + 0)*-4))**2. 174636 Simplify 2*((sqrt(76) + sqrt(76) + -2*sqrt(76)*4)/(sqrt(144) - sqrt(4)))**2. 1368/25 Simplify -4*(3 + sqrt(1008)*-5 + 1 + sqrt(1008) + 4)**2. -64768 + 3072*sqrt(7) Simplify 4*(sqrt(1134) - (sqrt(1134) - sqrt(1134)*1)*6)/((sqrt(8) - (sqrt(8) + 2*sqrt(8) - sqrt(8)))*-3). 6*sqrt(7) Simplify (4*sqrt(91)*-1)/((sqrt(21) + sqrt(525))/sqrt(3)) + 1. -2*sqrt(13)/3 + 1 Simplify -5 + ((sqrt(304) - (-1 + sqrt(304))*-4 - sqrt(304) - sqrt(304))**2 - sqrt(304)*2*-6) + -1*(sqrt(304) + -1 + -2). -52*sqrt(19) + 2750 Simplify -5 + (sqrt(38)/(sqrt(300)/sqrt(6)) - ((sqrt(1539) + -1)*-3)**2). -13865 + 811*sqrt(19)/5 Simplify (sqrt(3744)*-3 - sqrt(3744))/(sqrt(288)*2 + sqrt(288) + sqrt(288) + sqrt(2) + sqrt(2)). -24*sqrt(13)/25 Simplify 4*((sqrt(68) + 3*sqrt(68)*-3 + sqrt(68) - sqrt(68)) + -1)*3. -192*sqrt(17) - 12 Simplify (sqrt(3520) - (sqrt(3520) + 3*sqrt(3520))*-4)/(-2*(sqrt(891) + sqrt(891)*3 - sqrt(891))). -68*sqrt(5)/27 Simplify 6*(0 + ((sqrt(300) + -1)*-6 - sqrt(300)) + -2)**2*1. -3360*sqrt(3) + 88296 Simplify (-4*((2 + (sqrt(343) + -1 - sqrt(343)) - (sqrt(343) + sqrt(343) + 1*sqrt(343) + 4)) + 3 + 4))**2. -2688*sqrt(7) + 49648 Simplify -3 + (sqrt(128) - (sqrt(128) + 0))*3 - (0 + 4 + sqrt(128) + -1). -8*sqrt(2) - 6 Simplify (-3*(sqrt(1408) + sqrt(1408)*3 - sqrt(1408)))/((sqrt(55) + -4*(sqrt(55) - sqrt(385)/sqrt(7)) + sqrt(55))/sqrt(5)). -36*sqrt(2) Simplify -1 + 3*(sqrt(55) - 1*(sqrt(55) - sqrt(495)))/(sqrt(1584) + sqrt(1584)*3 - sqrt(1584)). -1 + sqrt(5)/4 Simplify 6*(1*2*(sqrt(44) - -2*sqrt(44)))/((sqrt(3564)*1)/sqrt(11)). 4*sqrt(11) Simplify -3*(-2 + 6*(sqrt(91)/(-1*sqrt(7)) - sqrt(13)) + ((sqrt(52) + 5 - sqrt(13)) + -3)**2). -45 + 24*sqrt(13) Simplify ((-1*sqrt(110)*3)/(2*sqrt(10)*-5))**2. 99/100 Simplify 1*(3*(-2 + (sqrt(7) - (sqrt(7) + 4 + sqrt(63) - sqrt(7))) + 3) + -1)**2. 120*sqrt(7) + 352 Simplify -5*sqrt(176) + sqrt(44)*-2 - ((sqrt(132)/sqrt(4))/sqrt(3) + -5 + (sqrt(11) + 3)**2). -31*sqrt(11) - 15 Simplify ((sqrt(735) + -1*sqrt(735) - sqrt(735))*-4)/((sqrt(15)*2)/sqrt(3) - (sqrt(80)/sqrt(4))/sqrt(4)). 28*sqrt(3) Simplify 4 + (sqrt(77) + (sqrt(77) - (sqrt(77) - (sqrt(77) - sqrt(77)*-2))*5) + sqrt(77))/((-2*sqrt(63))/sqrt(9)). -13*sqrt(11)/2 + 4 Simplify (-3 + sqrt(1573) + 2 + sqrt(1573))**2 + -5*1*sqrt(13)*-1. -39*sqrt(13) + 6293 Simplify 2 + (sqrt(833) + 6*(sqrt(833) + 1 + sqrt(833) + sqrt(833)))**2 + 0 + -2. 1596*sqrt(17) + 300749 Simplify ((2*sqrt(475) + 1 - sqrt(475)) + sqrt(475))**2 + 1 + (sqrt(76) + -1)**2. 16*sqrt(19) + 1979 Simplify -1*(((sqrt(88)*-1)/sqrt(8) + sqrt(1100)*1)*4*4)**2. -228096 Simplify (-4 + (sqrt(171)/(sqrt(18)/sqrt(2)) - sqrt(19)) - (4 + ((sqrt(1900) - (sqrt(1900) - (sqrt(1900) + 0 + sqrt(1900)))) + sqrt(1900))**2))*1. -17108 Simplify (-5 + 1*(sqrt(272)*3 + -1 + sqrt(272) + 4))**2 + -4. -64*sqrt(17) + 4352 Simplify (sqrt(91) - 6*(sqrt(91) + -1*sqrt(91) + sqrt(91)) - (sqrt(91) - (sqrt(91)*2 + sqrt(91) + sqrt(91))*-6))/(-3*sqrt(112)*-3 - sqrt(112)). -15*sqrt(13)/16 Simplify (sqrt(114)/(2*sqrt(6)) + 5)**2 - (2 + sqrt(1900)*-2)**2. -30297/4 + 85*sqrt(19) Simplify (sqrt(42)/(sqrt(12)/sqrt(2)) + sqrt(7) + 1 + -3 + -1*-1*2*(sqrt(7) - sqrt(112)))**2. 16*sqrt(7) + 116 Simplify (sqrt(18)*1*-1)/sqrt(6) + (sqrt(54)/(sqrt(4)/sqrt(2)))/sqrt(9). 0 Simplify -1 + ((sqrt(72)*-1 + sqrt(72) + sqrt(72) + sqrt(72))*2 - (-2*sqrt(72) - sqrt(72))*-6)**2. 14111 Simplify -3*(-3 + (-4 + 2*(sqrt(13) + 2 + 0 + sqrt(13)))**2). -615 Simplify (sqrt(156)/(sqrt(12)/sqrt(4))*-2 + sqrt(624)/(sqrt(48)/sqrt(4)) + -3*sqrt(832))**2. 8788 Simplify (0 + sqrt(68))**2 + 4 + 1 + ((-4 + (sqrt(85)*2)/sqrt(5))*-5)**2. -400*sqrt(17) + 2173 Simplify (1*sqrt(10)/sqrt(45) - (0 + -1*1*sqrt(2)))**2. 32/9 Simplify -1 + (sqrt(180) - 2*sqrt(180))**2 + sqrt(5) + 0 + 4. sqrt(5) + 183 Simplify 4*((sqrt(684) + 3)*-1 - (-2 + -2*sqrt(
{ "pile_set_name": "DM Mathematics" }
. 2, 813 What is q in -4*q**3/5 + 16*q**2/5 + 48*q/5 = 0? -2, 0, 6 Let -4*o**5 + 28*o**4 - 8*o**3 - 112*o**2 + 96*o = 0. What is o? -2, 0, 1, 2, 6 Determine p, given that 2*p**2 + 28*p + 48 = 0. -12, -2 Factor -20*r**3/3 + 1282*r**2/3 - 20608*r/3 + 2048/3. -2*(r - 32)**2*(10*r - 1)/3 Determine b so that 31*b**3 + 33*b**2 - 60*b - 4 = 0. -2, -2/31, 1 Factor -3*k**2/2 + 561*k. -3*k*(k - 374)/2 Let 2*w**2/9 - 2716*w/9 + 2714/9 = 0. What is w? 1, 1357 Find f such that -15*f**2 - 380*f + 260 = 0. -26, 2/3 Factor -3*x**2/5 + 6*x + 45. -3*(x - 15)*(x + 5)/5 Solve y**5/6 + y**4/3 - y**2/3 - y/6 = 0 for y. -1, 0, 1 Suppose 4*v**2/3 - 26*v - 40/3 = 0. What is v? -1/2, 20 Let -5*h**2 - 400*h - 8000 = 0. What is h? -40 Factor -5*l**2 + 280*l - 1920. -5*(l - 48)*(l - 8) Factor -5*u**3 - 45*u**2 + 200*u + 240. -5*(u - 4)*(u + 1)*(u + 12) Suppose 30*y**3 + 185*y**2 + 300*y + 45 = 0. What is y? -3, -1/6 Suppose -v**2/3 + 551*v/3 - 366 = 0. What is v? 2, 549 Let -w**2/2 + 93*w/2 + 47 = 0. Calculate w. -1, 94 Factor 5*w**2 + 65*w - 570. 5*(w - 6)*(w + 19) Let -3*w**5 - 113*w**4 - 899*w**3 - 2527*w**2 - 2578*w - 840 = 0. What is w? -28, -5, -3, -1, -2/3 Suppose -2*r**3/7 - 48*r**2/7 = 0. Calculate r. -24, 0 Factor -3*i**2/2 - 69*i/2 + 75. -3*(i - 2)*(i + 25)/2 Factor -4*z**3 + 252*z**2 + 1384*z - 1632. -4*(z - 68)*(z - 1)*(z + 6) Suppose 5*t**5 - 100*t**4 + 420*t**3 - 710*t**2 + 535*t - 150 = 0. Calculate t. 1, 2, 15 Suppose 3*w**2/2 + 60*w + 117/2 = 0. Calculate w. -39, -1 Let -2*s**3/9 - 20*s**2/9 - 34*s/9 - 16/9 = 0. Calculate s. -8, -1 Factor 2*x**4/13 + 4*x**3/13 - 38*x**2/13 - 40*x/13. 2*x*(x - 4)*(x + 1)*(x + 5)/13 Let 3*c**3/5 + 21*c**2/5 - 48*c/5 - 336/5 = 0. What is c? -7, -4, 4 Factor k**5 - 3*k**4 + k**3 + 3*k**2 - 2*k. k*(k - 2)*(k - 1)**2*(k + 1) Solve 30*m**5 + 27*m**4 - 249*m**3 - 342*m**2 + 84*m + 72 = 0 for m. -2, -2/5, 1/2, 3 Find w, given that 6*w**4 + 3*w**3 - 9*w**2 = 0. -3/2, 0, 1 Solve -2*f**3 + 300*f**2 - 592*f = 0 for f. 0, 2, 148 Suppose i**4/10 + 29*i**3/5 + 167*i**2/10 + 11*i = 0. What is i? -55, -2, -1, 0 Factor 2*t**2/9 + 142*t/3 + 424/9. 2*(t + 1)*(t + 212)/9 Find z such that -4*z**3 - 12*z**2 + 144*z - 128 = 0. -8, 1, 4 Factor 4*o**2 + 188*o - 192. 4*(o - 1)*(o + 48) Factor 5*h**4/6 + 55*h**3/6 + 45*h**2/2 + 125*h/6 + 20/3. 5*(h + 1)**3*(h + 8)/6 Determine j so that -4*j**2 - 4244*j - 4240 = 0. -1060, -1 What is b in 5*b**5/4 + 85*b**4/4 + 155*b**3/2 - 245*b**2/2 - 315*b/4 + 405/4 = 0? -9, -1, 1 Factor -4*q**2 - 392*q. -4*q*(q + 98) Factor c**2 + 144*c. c*(c + 144) Factor -123*s**2/5 - 372*s/5 - 9/5. -3*(s + 3)*(41*s + 1)/5 Determine s, given that 2*s**5/13 + 84*s**4/13 - 36*s**3 + 136*s**2/13 + 1938*s/13 - 1692/13 = 0. -47, -2, 1, 3 Solve -2*f**5/7 - 6*f**4/7 + 46*f**3/7 - 66*f**2/7 + 4*f = 0 for f. -7, 0, 1, 2 Factor -2*a**3 + 244*a**2 - 242*a. -2*a*(a - 121)*(a - 1) Solve -15*z**3/8 + 21*z**2/4 - 27*z/8 = 0 for z. 0, 1, 9/5 Find f such that -f**3/9 - 61*f**2/3 - 542*f/9 - 40 = 0. -180, -2, -1 Factor 3*f**2/5 + 42*f/5 - 9. 3*(f - 1)*(f + 15)/5 Let -2*a**5/13 - 8*a**4/13 + 38*a**3/13 - 28*a**2/13 = 0. What is a? -7, 0, 1, 2 Solve -4*x**5/5 - 736*x**4/5 - 9077*x**3 - 952759*x**2/5 - 919087*x/5 - 226981/5 = 0. -61, -1/2 Find g, given that -g**4/5 - 4*g**3/5 + 4*g**2/5 + 16*g/5 = 0. -4, -2, 0, 2 Suppose 36*i**4 + 48*i**3 - 8*i**2 - 16*i + 4 = 0. What is i? -1, 1/3 Solve 2*f**5/11 - 654*f**4/11 - 6*f**3/11 + 178*f**2 + 1308*f/11 = 0. -1, 0, 2, 327 Factor -5*y**2 + 55*y - 140. -5*(y - 7)*(y - 4) Factor -4*d**2 + 1044*d - 1040. -4*(d - 260)*(d - 1) Suppose -3*p**4/8 + 21*p**3/8 - 45*p**2/8 + 39*p/8 - 3/2 = 0. Calculate p. 1, 4 Factor 3*g**2/5 - 1167*g/5 - 1182. 3*(g - 394)*(g + 5)/5 Factor -148*k**3 - 2660*k**2 + 2884*k - 76. -4*(k - 1)*(k + 19)*(37*k - 1) Factor r**4/7 + 27*r**3/7 + 26*r**2/7. r**2*(r + 1)*(r + 26)/7 Suppose -9604*k**5 + 48804*k**4 - 23144*k**3 - 75184*k**2 + 6240*k - 128 = 0. What is k? -1, 2/49, 2, 4 Determine m, given that -14*m**5/5 - 74*m**4/5 + 358*m**3/5 + 1522*m**2/5 + 1384*m/5 + 56 = 0. -7, -2, -1, -2/7, 5 Factor 5*x**4 + 3490*x**3 - 7020*x**2 - 13960*x + 28000. 5*(x - 2)**2*(x + 2)*(x + 700) Solve 40*y**4 + 214*y**3 - 792*y**2 + 440*y - 64 = 0 for y. -8, 1/4, 2/5, 2 What is v in -2*v**4/13 + 20*v**3/13 + 22*v**2/13 = 0? -1, 0, 11 Factor c**3/5 - 2*c**2 - 24*c/5. c*(c - 12)*(c + 2)/5 Find y such that -70*y**5/13 - 358*y**4/13 + 38*y**3/13 + 398*y**2/13 + 32*y/13 - 40/13 = 0. -5, -1, -2/5, 2/7, 1 Factor 3*s**2 - 30*s - 513. 3*(s - 19)*(s + 9) Let 4*c**2 - 11064*c - 22144 = 0. Calculate c. -2, 2768 Let -b**4 - 46*b**3 - 480*b**2 + 1152*b = 0. Calculate b. -24, 0, 2 Find h, given that 2*h**3/11 + 386*h**2/11 + 18032*h/11 - 57624/11 = 0. -98, 3 Factor 2*x**5 - 1538*x**4 + 393212*x**3 - 33158140*x**2 - 67502078*x - 33949186. 2*(x - 257)**3*(x + 1)**2 Factor 2*l**3/11 - 1074*l**2 + 17452230*l/11 - 17440418/11. 2*(l - 2953)**2*(l - 1)/11 Let 4*u**4 - 80*u**3 + 308*u**2 + 968*u = 0. Calculate u. -2, 0, 11 Let r**5/2 - 21*r**4/4 + 16*r**3 - 63*r**2/4 + 9*r/2 = 0. Calculate r. 0, 1/2, 1, 3, 6 What is u in -u**4/5 + 2*u**2/5 - 1/5 = 0? -1, 1 Factor 5*s**3 + 495*s**2 + 12000*s - 12500. 5*(s - 1)*(s + 50)**2 Determine r, given that -2*r**4/7 - 20*r**3/7 - 30*r**2/7 + 20*r/7 + 32/7 = 0. -8, -2, -1, 1 Solve 2*x**5 - 32*x**4 + 170*x**3 - 300*x**2 - 72*x + 432 = 0 for x. -1, 2, 3, 6 Factor -2*x**3/15 + 6*x**2/5. -2*x**2*(x - 9)/15 Find a such that 2*a**3/5 + 64*a**2/5 + 214*a/5 - 56 = 0. -28, -5, 1 Factor 2*q**2/15 - 52*q/5 - 166/3. 2*(q - 83)*(q + 5)/15 Determine z, given that z**4/4 - 23*z**3 + 1011*z**2/2 + 1081*z + 2209/4 = 0. -1, 47 Solve 3*x**5/2 + 27*x**4/2 + 39*x**3 + 27*x**2 - 81*x/2 - 81/2 = 0. -3, -1, 1 Factor -k**3 - 82*k**2 + 171*k + 252. -(k - 3)*(k + 1)*(k + 84) Factor -5*x**3 + 630*x**2 + 1925*x + 1290. -5*(x - 129)*(x + 1)*(x + 2) Find q, given that 5*q**2 + 5510*q + 1518005 = 0. -551 Let l**4/2 - 3*l**3 + 3*l**2/2 + 5*l = 0. Calculate l. -1, 0, 2, 5 Find z, given that 3*z**4/5 + 4329*z**3/5 + 2082249*z**2/5 + 333853923*z/5 = 0. -481, 0 Determine f so that f**2 + 4*f + 3 = 0. -3, -1 Factor l**2 + 35*l - 450. (l - 10)*(l + 45) Factor -q**3/8 + 109*q**2/8 + 221*q/8 + 111/8. -(q - 111)*(q + 1)**2/8 Suppose 2*f**4 = 0. What is f? 0 Factor -3*j**3/5 - 63*j**2/5 - 357*j/5 - 117. -3*(j + 3)*(j + 5)*(j + 13)/5 Determine g, given that -3*g**2 - 54*g - 195 = 0. -13, -5 Factor -u**5 - 32*u**4 - 352*u**3 - 1360*u**2 + 400*u + 8000. -(u - 2)*(u + 4)*(u + 10)**3 Suppose 2*m**2/11 + 102*m/11 - 104/11 = 0. What is m? -52, 1 Factor f**4/7 - 10*f**3/7 + 33*f**2/7 - 36*f/7. f*(f - 4)*(f - 3)**2/7 Factor 3*b**2 + 150*b - 825. 3*(b - 5)*(b + 55) What is r in 2*r**3 - 21*r**2/2 + 18*r - 10 = 0? 5/4, 2 Factor 4*b**3/13 - 6*b**2/13 - 16*b/13 - 6/13. 2*(b - 3)*(b + 1)*(2*b + 1)/13 Solve 4*s**2/3 + 232*s/3 - 420 = 0 for s. -63, 5 Find p such that -5*p**2 + 1285*p - 1280 = 0. 1, 256 Suppose 4*m**2 + 928*m + 924 = 0. Calculate m. -231, -1 Let 3*d**4 - 69*d**3 - 315*d**2 - 243*d = 0. Calculate d. -3, -1, 0, 27 Determine k, given that k**5/4 - 5*k**4/4 + k**3/4 + 13*k**2/4 - k/2 - 2 = 0. -1, 1, 2, 4 Factor 2*x**2/3 + 150*x. 2*x*(x + 225)/3 What is i in -6*i**4/5 + 27*i**3/5 - 27*i**2/5 - 3*i/5 + 9/5 = 0? -1/2, 1, 3 Factor -2*i**2 - 42*i - 40. -2*(i + 1)*(i + 20) Factor u**5 - 16*u**4 + 46*u**3 + 144*u**2 + 81*u. u*(u - 9)**2*(u + 1)**2 Factor u**2/2 - 5*u/2 - 7. (u - 7)*(u + 2)/2 Find k such that -k**3/2 + 335*k**2/2 + 847*k + 1020 = 0. -3, -2, 340 Factor 3*u**4 - 15*u**3 - 3*u**2 + 15*u. 3*u*(u - 5)*(u - 1)*(u + 1) Find j, given that 45*j**3 - 7620*j**2 - 5095*j - 850 = 0. -1/3, 170 Factor f**5 + 2*f**4/5 - 6*f**3 - 52*f**2/5 - 31*f/5 - 6/5. (f - 3)*(f + 1)**3*(5*f + 2)/5 Factor -v**3 - 176*v**2 - 7565*v + 15842. -(v - 2)*(v + 89)**2 Determine d so that d**2 + 316*d + 24964 = 0. -158 Solve r**2/6 - 239*r/6 - 241/3 = 0. -2, 241 Let -3*d**3/4 + 6*d**2 + 33*d + 36 = 0. What is d? -2, 12 Let 54*c**5 - 1596*c**4 - 760*c**3 + 1200*c**2 = 0. What is c? -10/9, 0, 2/3, 30 Determine w so that -70*w**5/3 - 1072*w**4/3 + 6080*w**3/3 - 9376*w**2/3 + 4448*w/3 - 640/3 = 0. -20, 2/7, 2/5, 2 Factor 5*v**2 - 55*v. 5*v*(v - 11) Factor 2*p**5 + 10*p**4 + 6*p**3 - 18*p**2. 2*p**2*(p - 1)*(p + 3)**2 Find z such that 3*z**4 - 3*z**3 - 21*z**2 + 3*z + 18
{ "pile_set_name": "DM Mathematics" }
i. Let m = -1/83 - 325/581. What is the second biggest value in m, 2/9, d? 2/9 Let v = 2.886 - -0.114. Which is the third smallest value? (a) 1/6 (b) v (c) -0.1 (d) -0.3 a Let j be 866/4 - 9/6. Let k = -3223/15 + j. Which is the smallest value? (a) k (b) 2 (c) -3/4 c Let s = -0.3 - -0.1. What is the smallest value in 2, s, -2/9? -2/9 Let d = -3 - -7. Let k be 4*(0 + (-2)/(-4)). Suppose k*s = -3*s - 15. What is the third smallest value in s, -5, d? d Let h = 0.1 + 2.7. Let l = h - 0.8. What is the biggest value in l, -5, 4? 4 Let o = 0.94 - 5.94. Which is the biggest value? (a) o (b) 0.4 (c) -0.3 b Suppose 2*i + 10 = 2*l - l, 0 = 2*l - 3*i - 17. Let o = 14 + -14.4. Which is the biggest value? (a) l (b) -1 (c) o a Let q = 676 + -207. Let f = 473.06 - q. Let m = -0.06 + f. Which is the second biggest value? (a) -1/5 (b) m (c) -3 a Let s = 47.6 + -55. Let f = 7 + s. Let u = f - -5.4. Which is the second smallest value? (a) u (b) 0 (c) 0.2 c Let h = 0.4 - -4.6. Let u = 8.1 - 8. What is the third smallest value in h, 3, u? h Let l = -4.01 - -0.01. Let u = 2 - 1. What is the second smallest value in -2/5, u, l? -2/5 Let p = 0.46 + -0.06. Let u = 17.1 + -17. Let v = 8 + -6. Which is the second biggest value? (a) p (b) v (c) u a Let a = 3.1 + 0.9. Let d = -4.5 + a. Let h = d - 2.5. What is the third biggest value in 5, h, 0.2? h Let v = -0.56 + 0.6. What is the third biggest value in -0.4, -2, v? -2 Let f be ((-6)/14)/(10/(-30)). Which is the fourth smallest value? (a) -0.2 (b) -1/3 (c) -0.4 (d) f d Let r = 0 - 1. Let i = 0.7 + r. Let n be (0/2)/(1 - 3). Which is the third biggest value? (a) 0.1 (b) i (c) n b Let w be -3 + 10/2 + 30. Let l be 2/(-7) + w/(-182). Which is the biggest value? (a) l (b) 3 (c) -0.3 b Let f be 0 + (4 - (1 + 3)). Suppose -4*q + 5*q - 4 = f. What is the smallest value in 5, 1, q? 1 Let u = -77 - -76.9. Let w = -0.08 - 0.22. What is the second biggest value in w, 4, u? u Let x be (-34)/(-4) - 3/6. Let p be 3/(-2)*x/42. Let v = -96 + 94. What is the third smallest value in 4, p, v? 4 Let b(r) = r**2 + 14*r + 12. Let x be b(-13). What is the third smallest value in 2, 4, x? 4 Let i be 18/27 - 17/3. Which is the third biggest value? (a) 4/7 (b) 1/2 (c) i c Let z = -4 - -4.4. Let i = 1 + -1.4. Which is the second biggest value? (a) z (b) -0.3 (c) i b Let h = -0.2 + -0.1. Let r be -4 + (447/63 - 3). Which is the third smallest value? (a) r (b) -4 (c) h a Let s = -0.08 - 0.42. Let z = s + 0.6. Let d = -0.01 - -3.01. What is the second biggest value in d, z, -5? z Let w = 1020028/11 + -92593. Let y = w + -137. What is the second biggest value in y, 3/2, -0.07? -0.07 Let s be (-22)/6 + (0 - -3). What is the second smallest value in s, 2/15, 0.3, 5/4? 2/15 Let f = -116.1 + 116. What is the biggest value in -1/5, -2/17, f, 3? 3 Let j = -73 + 367/5. Which is the third smallest value? (a) -0.4 (b) j (c) 1 c Let z = -21 - -36. Let j = z + -14.8. What is the smallest value in -5, j, -1? -5 Let s = 400/2079 + -2/189. Which is the smallest value? (a) s (b) 7 (c) 0 c Suppose d - 3*d - 8 = 0. Let k = -1.14 - -1. Let j = 3.14 + k. Which is the biggest value? (a) j (b) d (c) -2/11 a Suppose 4*n + 18 - 6 = 0, -4*i + 19 = -n. What is the third smallest value in 1/3, 1, i, 3? 3 Suppose 0 = -2*d + 9 + 11. Suppose 0 = 2*l - 0*l - d. Let f = -5 + 8. Which is the biggest value? (a) 2/21 (b) f (c) l c Let u = 12.47 + -0.87. Let k = -12 + u. Which is the third biggest value? (a) -0.03 (b) k (c) 0.1 b Suppose 3*w - 1 = -3*g + w, 4*w - 7 = -g. Let o = -3 - -2.99. What is the second smallest value in -0.4, o, g? -0.4 Let y be (-1)/2 + 9/(-2). Let h = y + 3. Let x = -9.2 - -9. Which is the smallest value? (a) 0.2 (b) h (c) x b Let y = 28 - 21.5. Let u = y + -7. What is the second smallest value in u, 0.3, -1? u Let b = 2752778/75 - 36703. Let c = b + -1/25. Suppose -16 = 3*t + t. What is the smallest value in 0.5, c, t? t Suppose -4*l + 0*t + 7 = 3*t, 0 = 3*t + 9. Which is the smallest value? (a) l (b) -8 (c) -1/3 (d) -5 b Let a = -3.87 - 0.13. Let w = -4 - a. What is the smallest value in -4, w, 1/3? -4 Let h = 73 - 149/2. Let w = -79 - -78.97. What is the smallest value in h, w, 0.3? h Let j = -111 - -774/7. Let f = 207 + -823/4. Which is the biggest value? (a) j (b) f (c) 5/3 c Let p = -32 - -32. Which is the smallest value? (a) -17 (b) p (c) -3/5 a Suppose 3*x - 4 = -16. What is the second smallest value in x, 0, 6? 0 Let w = 0.25 - 3.85. Let j = -4 - w. Let i = -27.7 + 28. What is the smallest value in 1, j, i? j Suppose 2*x - 6 = -p, -x = -2*x - p + 4. Let t be (-20)/(-105) - x/6. What is the biggest value in 2, t, -4? 2 Let g = 0.025 - 2.025. Let o = -2 - -7. Let l be (-7)/o + (2 - 1). Which is the second smallest value? (a) g (b) l (c) -3 a Let o(t) = -t**2 + 12*t - 32. Let h be o(5). What is the fourth smallest value in 2, 2/13, -0.2, h? h Let a = -3.0658 + -0.0042. Let q = a + 0.07. What is the smallest value in 1/4, -2/3, q? q Suppose 0*n - 4 = -2*n. Let t be -1 + 6 - 0/n. Let d = -11.7 + 11.3. Which is the second biggest value? (a) 3 (b) t (c) d a Let b be (17/51)/(13/6). What is the second biggest value in 0.3, b, -0.1, -2/5? b Let x = 0 + 1. Let p = x - -2. Let j = 0.1 - 4.1. What is the third smallest value in 0, j, p? p Let j = -0.067 - -0.567. Which is the biggest value? (a) 1 (b) j (c) -0.1 a Let x = 1.32 - 0.32. Which is the fourth biggest value? (a) -4 (b) x (c) -2/9 (d) -3 a Let d = -31 - -32.5. What is the smallest value in d, -2, 2? -2 Let x = 0.06 - -0.34. Let s = -38/3 - -40/3. What is the second biggest value in -1/3, s, x? x Suppose -15 = -4*h + l, 1 = h - 2*h + 5*l. What is the second smallest value in 2, 0.2, h? 2 Let a = 16 - 16.9. Let g = 0.8 + a. Let z = -2 - -2.1. What is the smallest value in z, -3, g? -3 Suppose 4*y + 0*y = 4. Suppose 3 = -3*g + 3*m, -g - m - y = -3*m. Let n be -6 + 6 + g + -2. Which is the second smallest value? (a) -3/8 (b) -4 (c) n c Let d = 0.02 + -0.02. Let w = d - 0.5. What is the third biggest value in w, 0, -1/4? w Let k = 15 + -20. Let h be (-1)/(((-6)/4)/(-3)). What is the third biggest value in k, h, -1/4? k Let u = -128/9 - -14. Suppose 6 + 0 = -3*q. Which is the second smallest value? (a) q (b) u (c) -1/3 c Suppose -v + 9 = 13. What is the smallest value in -1.3, v, 0? v Let a = 38.02 + -33. Let z = -0.02 + a. What is the second smallest value in 4, z, 1? 4 Suppose -3*f + 35 = 14. Suppose 0 = -h - 2*h + 9. Let j be (h/(-12))/(f/8). Which is the second biggest value? (a) -4 (b) j (c) -2/5 c Suppose -25 = -7*l + 2*l. Suppose r - d = l, -4*d = -r - r + 14. Which is the third biggest value? (a) r (b) -0.3 (c) 4 b Let t = 11.461 + -0.061. Let u = t - 11. What is the second smallest value in 0.2, u, 2? u Let o = -0.41 - -0.56. What is the biggest value in o, -2/11, 0.1, 2/5? 2/5 Let x = 0.2 - -1.8. Let v = 6.24 - 6.2. What is the third biggest value in x, v, -0.1? -0.1 Let r = -5.17 - -5. Let s = r + 0.17. Which is the second smallest value? (a) s (b) 2/21 (c) -3 a Let m = 11.8 - 10. Let s = m - 10.8. Let b = 13 + s. What is the second smallest value in -0.5, b, -5? -0.5 Let p = 69 - 49. Let m be (-18)/p - (-4)/10. Which is the second smallest value? (a) 1 (b) 0.3 (c) m b Let w = 0.1 + -0.1. Suppose 5*g + 7*g + 48 = 0. Which is the second smallest value? (a) w (b) -1/2 (c) g b Let k = 0.09 - 12.09. Let r = 16 + k. Let z = 1 + -1. Which is the second smallest value? (a) z (b) -5 (c) r a Let m = 5 + -5. What is the smallest value in -3, -0.1, m? -3 Let q = 0.46 - 0.06. What is the second biggest value in -1/11, -2/19, q? -1/11 Let q = -0.1 - 0.3. Let g = -6 - -8. What is the second smallest value in g, 1/3, q? 1/3 Let i be ((108/(-32))/(-9))/((-2)/(-8)). Which is the second smallest value? (a) -1/4 (b) i (c) -1/6 c Let i = 196 - 1762/9. Suppose 0 = -0*l - 2*l. Suppose -3*h - 3 = 6. Which is the third smallest value? (a) l (b) i (c) h b Let d be (6/(-6 - -3)*-1)/3. Let s = -2 + 2.1. Which is the smallest value? (a) -4 (b) d (c) s a Let p = -7.9 + 2.9. Suppose -14 = -o - n - 5, -2*n = -10. Let d be 8/(-9) + o/18. Which is the smallest value? (a) -2 (b) d (c) p c Let j(u) = -u**2 + 5*u +
{ "pile_set_name": "DM Mathematics" }
1. Let y be ((-1)/1)/(2 + h). Which is smaller: y or 3/4? 3/4 Let l = 130 - 136.1. Let x = -6 - l. Let i = 0.1 - 1.1. Which is greater: x or i? x Let f be ((-2)/(-4))/((-2)/68). Suppose -3*s + 42 = 4*q, 0 = -3*q + s + 17 + 21. Let u = q + f. Which is smaller: -6 or u? -6 Let s = -1 - -3. Is -0.5 bigger than s? False Suppose -5*a = -4*a + 14. Is a >= -16? True Let q = 13 + -11. Let p be 3*(-1)/12*q. Let s = -8 + 6. Which is bigger: p or s? p Let b(g) = g - 3. Let r be b(4). Let l be 4/40*(-4)/6. Let s = 4/15 - l. Do r and s have the same value? False Let o = -15.94 + 15. Let a = -0.5 - -0.44. Let v = a + o. Is v less than or equal to 2? True Let w(a) = -a - 3. Let f be w(-6). Suppose -18 = -n - 2*n. Let j be ((-10)/(-6))/(n/9). Which is greater: f or j? f Let s be -2*1 + 25/10. Suppose b - 5 - 7 = 4*k, 4*k = -4*b - 12. Suppose 7*r - 3*r - 4 = b. Which is smaller: s or r? s Let b(f) = f**3 - 2*f**2 - f - 2. Let x be b(3). Suppose 4*a = -0*a - 2*o + 6, -x = 4*o. Suppose 0 = h - a. Which is smaller: h or -2/7? -2/7 Let t = 10.6 - 13. Let l = -0.4 - t. Let r = 0.19 + -0.09. Which is bigger: l or r? l Let q(u) = -2*u - 4. Let a be q(-3). Let v be (5/((-10)/4))/2. Which is smaller: v or a? v Suppose -6*w = v - 3*w - 12, 3*v = -5*w + 20. Which is smaller: v or -11? -11 Let i = -0.121 - -0.021. Is 20 > i? True Let u be (-2)/24*8/(-7). Which is bigger: u or 1? 1 Suppose -5*y + 60 = -t, t - 5*t = -2*y + 24. Suppose -5*q + o + 4*o - 10 = 0, -3 = -o. Let j be (0 - q) + y/(-4). Is j greater than -5? True Let d = 8 - 7.1. Let c = -0.1 - d. Let g = 1.1 - 0.1. Which is greater: c or g? g Let o(t) = t**2 + 6*t - 8. Let x be o(-7). Let v = x - -1. Which is greater: 2 or v? 2 Let y(b) = -b**3 + 9*b**2 - 9*b + 6. Let z be y(8). Let k be z + 3 + 0 + -1. Is k bigger than 2/3? False Let v = 2 + -2. Let t = 0.86 - -0.04. Let x = t + -1. Is x greater than v? False Suppose 0*y + 2*y = 0, 4*x = 5*y. Let r = 7 + -1. Let u be 2/6 + (-14)/r. Which is greater: u or x? x Let o = -1 + 12. Let x = o + -12. Let r = 7 + -12. Is r smaller than x? True Suppose 2*s - 3*u + 20 = -8*u, 4*u = s - 3. Which is smaller: s or -6? -6 Let d = 3 + -2.7. Let g = d - 0.2. Do g and 3 have different values? True Suppose 10*j - 3*j = 7. Which is greater: 0 or j? j Let l = -32 + 65/2. Suppose 0 = 5*j - 4*j + 2*i - 15, i - 5 = 0. Suppose -2*d - d + 2*p = -16, 0 = j*p + 25. Is l < d? True Let n be 1/(-7) + 27/(-7). Do -22/5 and n have different values? True Suppose -4*x - 24 = -0*x. Let u(r) = -r - 2. Let j be u(x). Suppose -b + 0*b - t + 4 = 0, -3*t = -3. Is j >= b? True Let m = 22/163 - -6604/1793. Is m > 4? False Suppose -v = 2*v - 6. Which is greater: v or 6/11? v Let l be 1 + (-3)/(3/1). Is -2 less than l? True Let w(s) = -s. Let z be w(-1). Let c(d) = d**3 + z - 3*d**2 - 2*d - d + d**2. Let k be c(3). Which is bigger: 2/9 or k? k Let u = -2 - -6. Let l(h) = -h + 3. Let d be l(u). Which is smaller: d or 0? d Let s = 21 + -5. Let d be (s/5)/(2/5). Suppose -d = -5*k + k. Which is bigger: k or 7/3? 7/3 Let z(d) = -d + 5. Let i be z(4). Let o(s) be the third derivative of s**5/15 - s**4/24 + 6*s**2. Let r be o(i). Which is greater: 2 or r? r Suppose -7*r - 117 = 9. Is -18 at least r? True Let k = -0.09 + 0. Let d = -0.29 - k. Let f = 0.4 + d. Is -1 equal to f? False Suppose -4*g - 4*n = -60, -g - 3*g + n + 75 = 0. Which is bigger: g or -2? g Let i = 0.29 + 15.71. Let f = i - 16.1. Which is smaller: f or 3? f Let h = -16 - -17. Let z = -142/3 + 46. Is h less than z? False Let y(v) = -v**3 + 4*v**2 - 3*v + 1. Let f be y(2). Suppose -5*m + f = -17. Suppose m = 4*x + 5*i - 4*i, 3*x = -2*i - 2. Is x greater than or equal to 2? True Let i be 4032/182 - (-2)/(-13). Let q be 8/9*(-33)/i. Which is greater: 0 or q? 0 Let n be (-2 + 2)/(4/(-2)). Let g be (-2)/48*-70 - 3. Is g bigger than n? False Let r = -10 - -12. Suppose -r*k + 6*k = 4*b, b = -5*k - 30. Is -4 at most as big as b? False Let t(z) = -z**2 - 5*z + 5. Suppose 6*b + 24 = 2*b. Let m be t(b). Do -2 and m have the same value? False Let g = 15.9 + -14. Let w = -2 + g. Let p = -0.2 - w. Is p at most -2/5? False Let u = 2.46 - -0.14. Let r = u + -3. Let k(j) = j + 4. Let q be k(-5). Is r less than or equal to q? False Let s(g) = 2*g**2 - g + 1. Let b = -20 - -11. Let p = 10 + b. Let r be s(p). Which is bigger: 4 or r? 4 Let g = -355.05 + 347. Let l = g - -8. Are 0 and l unequal? True Suppose g = 37 - 15. Let b be (-26)/(-7) - g/(-77). Are b and 4 nonequal? False Suppose 16*r + 12 = 13*r. Is r != -13/3? True Let y = 5.1 - 0.1. Let o = 5.2 - y. Which is smaller: -1 or o? -1 Suppose h = 4*h + 12. Let y be ((-45)/(-12) + h)*-4. Which is smaller: 1/28 or y? 1/28 Let w be 6 - 6 - 1/(-8). Is w smaller than -1? False Let b be -3*25/(-15)*-1. Suppose 3*c - 12 = -c. Let u be c/15 - 12/10. Is u less than or equal to b? False Let l be -1 + -6 + (-3 - -7). Which is smaller: l or -2? l Let u = 1/1286 + 2471/129886. Is u <= 0? False Let q = 0.33 + 1.67. Are 0 and q non-equal? True Let v(b) = 2*b**2 - 2*b + 1. Suppose -5*d + 20 = -5*h, 0 = 2*d + 3*h - h + 4. Let o be v(d). Does 2/19 = o? False Let k = 30.17 + -30. Let a = 0.033 + 0.037. Let n = a - k. Which is bigger: 0.2 or n? 0.2 Let y = 36 + -27. Which is bigger: y or 8? y Suppose -y - 4*y + 30 = 0. Let u be y/(0 + 3) - 4. Do u and -1 have different values? True Let p be ((-1)/(-11))/((-1)/42). Let a = 104/33 + p. Let v = 0.25 - 0.05. Is v <= a? False Suppose -3*g - 8 = -g. Are g and -2 non-equal? True Let h be -5 - 0 - (-726)/143. Which is smaller: 1 or h? h Let s(f) = f**3 - 7*f**2 + 6*f. Let i be s(6). Let q = i - 1. Is -1 > q? False Let l(y) = y**3 + y - 1. Let g be l(0). Let t be ((-8)/6)/4*-3. Let z be (-4)/8*(t - 1). Which is smaller: z or g? g Let h(n) be the third derivative of -n**2 - 1/60*n**5 + 0 - 5/6*n**3 + 0*n + 1/4*n**4. Let c be h(4). Is 2 bigger than c? False Let z = 14 + -13. Let n = 2531/20995 + 8/247. Let f = n - 6/17. Is z < f? False Let t be (-69)/126 - 4/14. Let w(g) = -2*g**2 + 21*g - 56. Let b be w(6). Is t >= b? True Let y be (-401)/(-3) - 8/12. Let n = y - 667/5. Is -1 less than n? True Suppose -2*h + 3 = -1. Let y be 1*-2*1 + h. Let i(p) = p + 1. Let r be i(-2). Is y smaller than r? False Let p be (2*1/6)/((-3)/45). Is p at most as big as 0? True Let z = -2 + 4. Let f = 15.34 - 0.34. Let s = f - 13. Is s at most as big as z? True Let h(t) = t + 2. Let n be h(-3). Let s = -1 + n. Is s > -4? True Let t(z) = z**3 + 2*z**2 - 2*z + 2. Let g be t(-3). Which is greater: g or -0.03? -0.03 Let o = 22 + -22.04. Are o and -0.3 non-equal? True Let b = -1.8087 + -0.1733. Let h = b + -0.078. Let p = 0.06 + h. Which is bigger: p or 3? 3 Let u be (-65)/(-60) - (-2)/8. Which is greater: u or 0.1? u Let y be -2 + (3 - 9/15). Which is bigger: 4 or y? 4 Suppose -2*y - 5*q + 2 = 0, -4*q + 9 = 1. Let w be (-5)/y - (-2)/4. Let h = w + -3/2. Which is smaller: h or 1? h Let u be -3*(-6)/15 + (-3)/15. Which is smaller: 2/101 or u? 2/101 Suppose h - 4 = 3*h. Let l be 3/6*-2*h. Do 5 and l have the same value? False Let i be ((-44)/(-6))/((-10)/30). Let o be 9/(-12) - i/8. Let h be (-2 - -3)/(2 - 1). Which is greater: o or h? o Suppose -f = f + 16. Let d = f - -8. Suppose d*u + 5*u - 15 = 0. Which is smaller: u or 2? 2 Suppose 4*a = 2*a - 24. Suppose 3*n = 5*b + 52, 2*n + n = -3*b - 36. Is a greater than or equal to b? False Let w = -175 - -117. Is -59 > w? False Suppose -2*g = -4*g. Let j = 16 - 11. Let d be -1 - j/(30/(-4)). Is g <= d? False Let f = 25/3 - 74/9. Let o = -13/36 + f. Which is bigger: o or -1? o Let z = -21 + 20. Are 1/18 and z equal? False Suppose 3*l = 7*l + d - 42, -4*l - 4*d = -48. Which is greater: l or 102/11? l Let l(h) = h**2 - 2*h - 1. Let p be l(5). Let g = -7 + p. Which is bigger: g or 0? g Let n(r) = r**2 + 4*r. Let l be n(-5). Are l and 31/6 equal? False Let q = 46 - 46.07. Let z = -0.3 - -0.1. Which is bigger: z or q? q Suppose 2 = -0*p + p. Suppose p*g + 12 = -8. Let c be (-6)/3*1/g. Which is greater: -1 or c? c Let f = -0.25 + 0.2. Let o = 0.05 - f. Do o and 2 have the same value? False Let n = 1 - 0.9. Let a(r) = -r**2 + 9*r - 8. Let k be a(7). Suppose 4*g + 24 = -4*b, g = -2*b + k*g + 2. Are b and n unequal? True Let i = -52 + 56. Which is smaller: 21/4 or i? i Let a = -14.81 +
{ "pile_set_name": "DM Mathematics" }
it of 4 + (-4 - -234 - -2)? 6 Suppose 4*d - 79 = -5*i, i = 2*d - 0*d + 27. Suppose 5*z + 8 = 2*k + 3*z, 0 = -4*k + 5*z + i. What is the units digit of k? 1 Let a be (-1)/(-2) + (-92)/(-8). Suppose 0 = -3*d + a + 24. What is the tens digit of d? 1 Suppose 0*t + 10 = -4*t + 2*g, -g = -t - 1. What is the units digit of 6 - t - -1*1? 1 Let o(s) = -s**3 + s - 1. Let l(i) = -7*i**3 + 2*i**2 + i - 2. Let b(w) = -l(w) + 2*o(w). What is the units digit of b(1)? 4 Suppose 0 = 9*i - 8*i - 37. What is the units digit of i? 7 Suppose -2*d + 13 = -3*b - 4, 4*d = 2*b + 14. Let n(k) = k**2 - 9*k + 11. Let o be n(8). Suppose 2*q - o + d = 0. What is the units digit of q? 1 Let t(x) = x**2 + 4*x - 7. Let a be t(-8). Suppose -3*o = -5*v + 50, -3*v + 8*v = -2*o + a. What is the units digit of v? 7 Let i = 5 + -1. Suppose x = -2*u + 84, x = 3*u - i*x - 126. What is the units digit of u? 2 Let y be 1/1*-1 + -4. Let w = y + 3. What is the tens digit of (-3)/(-1) + w + 10? 1 What is the tens digit of 87/6 + (-6)/4 + 3? 1 Suppose 0*b - 2*p = -b + 6, 0 = -4*b + 5*p + 24. Suppose b*h - 4*h + 3 = v, 3*v - 18 = -3*h. What is the units digit of v + 1 + 2 + -4? 4 Suppose -2*a = -0*a + 5*r - 14, 7 = a + 3*r. What is the units digit of a? 7 Suppose 0 = 5*y - 4*r - 1230, 2*r = 2*y - 0*r - 492. What is the hundreds digit of y? 2 Let f = -6 - 2. Let h = f - -13. Suppose 0 = -h*n + 15 + 45. What is the tens digit of n? 1 Suppose 2*r - y - 187 = 0, 2*r - 5*y - 98 - 85 = 0. What is the tens digit of r? 9 Suppose -2*v = 16 - 68. What is the tens digit of v? 2 Let g be 1/((-3)/(-42)*2). What is the units digit of 2/(-4)*(-168)/g? 2 Suppose -8 - 10 = -3*y. Let u be ((-148)/y)/((-6)/9). Let r = u + -25. What is the units digit of r? 2 Let a(o) = -5*o**3 - 15*o**2 + 2*o - 9. Suppose 0 = -6*c + c - 5. Let t(v) = -v**3 - v**2 - v - 1. Let d(k) = c*a(k) + 6*t(k). What is the units digit of d(8)? 3 Suppose -5*q = z - 39, 2*z + 0*q + 3*q - 57 = 0. What is the tens digit of z? 2 Suppose -4*s = -q - 64, s - 16 = -7*q + 2*q. Let w = 7 - s. What is the units digit of w*(2*-1)/2? 9 Suppose w = 5*w - 8. Suppose w*r - 100 = -3*r. What is the tens digit of r? 2 Let q(o) = o**3 + 8*o**2 + o - 9. Let z be q(-8). Let b = 24 + z. What is the units digit of b? 7 Suppose -6*r + 3*r + 3 = 0. What is the units digit of (-18)/1*r/(-3)? 6 Suppose 4*g + 0*l - 138 = -2*l, -3*l - 108 = -3*g. What is the tens digit of g? 3 What is the units digit of ((-112)/35)/(2/(-5))? 8 Suppose 0 = 30*v - 34*v + 92. What is the tens digit of v? 2 Let l(r) = -r**2 - 8*r - 8. Let w be l(-8). Let x = w - -14. What is the units digit of x? 6 Let q(p) = p**2 - 8*p + 10. Let f be q(7). Suppose -2 = 2*a - 4*k, 5*a - f*k = -4*k + 28. What is the units digit of (-12)/(-5) + (-2)/a? 2 Let d(s) = s**3 - s**2 + 2*s + 32. What is the units digit of d(0)? 2 Let q(d) be the second derivative of d**5/20 - d**4/3 - 3*d**2/2 + 5*d. What is the units digit of q(5)? 2 Let k(n) be the third derivative of 5/24*n**4 + 0*n - 1/120*n**6 + n**2 - 1/20*n**5 + n**3 + 0. What is the units digit of k(-4)? 2 Let f(h) = 2*h - 12. Let z be f(10). Let b(s) = -s**3 + 9*s**2 - 5*s - 10. What is the tens digit of b(z)? 1 Let d(z) = 3*z**2 + z. Let l be d(1). What is the units digit of 2/1*l/8? 1 Let q(s) = 2*s - 3. Let d be q(2). Let c(p) = 17*p**2 + p - 1. Let v be c(d). Let g = -7 + v. What is the units digit of g? 0 Suppose 140 = 9*q - 4*q. What is the units digit of q? 8 Let g(z) = z**3 + 9*z**2 + z + 12. Let f be g(-9). What is the units digit of ((-27)/(-6))/(f/4)? 6 Suppose 4*o - 60 - 12 = 0. What is the tens digit of o? 1 Suppose n = -9*n + 370. What is the units digit of n? 7 Suppose -i + 130 = 5*n, 0 = 3*n - 0*n - i - 86. What is the tens digit of n? 2 Let s(r) = r**3 + 3 + 3*r**2 - r - 3. What is the units digit of s(-3)? 3 Let j be (-4)/2 - (-3 + 7). Let n be 1 - 1 - (-13 - j). What is the units digit of (n/2)/((-3)/(-6))? 7 Let x(u) = -u - 2. Let d be x(-6). Suppose 0 = -d*k - 2 + 50. What is the units digit of k? 2 Let t = 11 - -33. What is the tens digit of t? 4 Let h(j) = 10*j**2. Suppose -2*p + 4 = 2*p. What is the units digit of h(p)? 0 Let b(t) = 4*t**2 + 3*t - 1. Let l = -9 + 10. Suppose -5 + l = -2*w. What is the units digit of b(w)? 1 Let j be 92/3 - 6/9. Suppose 0 = -3*t + 6*b - 2*b + 46, -4*t + 3*b = -52. Suppose -t = 4*x - j. What is the units digit of x? 5 Let r = -6 + 9. Suppose -r*x = -22 - 5. Let l = 16 - x. What is the units digit of l? 7 Suppose u - 12 - 7 = -4*s, -3*s = -2*u - 28. Let i be 4/s + (-4)/(-12). What is the units digit of 3*(i + -1 - -1)? 3 Let o be (1 - 3)*9/(-6). Let k(n) = n**3 - 3*n**2 + 2*n + 3. What is the units digit of k(o)? 9 Suppose -159 = -4*q + 33. Suppose 3*s + s = q. What is the tens digit of s? 1 Let l = -6 - -8. Let g(a) = 4*a**2 - 2. What is the units digit of g(l)? 4 What is the units digit of 3/((-6)/(-260))*1? 0 Let j(g) be the second derivative of 0 - 2*g + 1/3*g**3 + 1/20*g**5 - g**2 + 1/3*g**4. What is the units digit of j(-2)? 2 Suppose -21 = -v - 6. Let c = 18 + v. What is the units digit of c? 3 Suppose -8 = -2*d - 2*d + 5*c, 5*d - 5*c = 10. Suppose -5*a + 3*a = l - 5, -9 = -3*a - d*l. What is the units digit of a? 1 Suppose k + 1 = -4. Let d = k - -9. What is the units digit of (-2)/4 - (-26)/d? 6 Suppose -4*n + 3*n + 5*g = 4, 2*n + g + 8 = 0. Let z be (-2)/(-2 - n/3). What is the tens digit of -3*(0 - 20/z)? 2 Suppose -35 - 358 = -4*c - 5*k, -5*k = -4*c + 343. What is the units digit of c? 2 Suppose 18*c = c + 4165. What is the tens digit of c? 4 Suppose -d + 84 - 28 = 0. What is the tens digit of d? 5 Suppose -4*c = -9*c - 65. Let l = -7 - c. Suppose 60 = -g + l*g. What is the tens digit of g? 1 Let g = 8 - 3. Suppose -g + 2 = -u. Suppose -r + 28 = u*r. What is the units digit of r? 7 Let y be 1*(-1 - (-2 + 2)). Let v = 1 + y. What is the units digit of (-1)/(1 + v) + 14? 3 Let s be 72 - 2/(1/1). Suppose 3*u = -2*u + s. What is the tens digit of u? 1 Suppose -25*l + 185 = -24*l. What is the hundreds digit of l? 1 Suppose -2*a - 38 = -4*i + 60, 0 = -3*i - 3*a + 87. What is the units digit of i? 6 Suppose 3*b = 5*b - 32. Let t = b + 0. What is the units digit of t? 6 Suppose 9*d - 10*d = -88. What is the tens digit of d? 8 Let x(f) be the first derivative of f**4/4 + 8*f**3/3 + 5*f**2 + 7*f + 4. What is the units digit of x(-6)? 9 Let p be (-1 - (-7)/2)*-4. Let w(y) = y**3 + 11*y**2 + 9*y - 4. What is the units digit of w(p)? 6 Let o = -135 + 276. What is the units digit of o? 1 Let o be -2 + (3 - 2) + 3. Suppose -o*y - 1 + 11 = 0. Suppose -4*m = -2*r + 5*r - 31, -y*r - 2 = -m. What is the units digit of m? 7 Suppose 0*k + 4*j = -k - 16, -2*j = -2*k + 8. Suppose 4*d + 28 + 16 = k. Let o = 19 + d. What is the units digit of o? 8 Let k(p) = -p - 5. Let g be k(-7). Let b be g/(-2) + 0 + 6. Suppose 2*u - 3*l - 25 = 0, -b*u + 13 + 22 = -2*l. What is the units digit of u? 5 Suppose -t = t. Let k be t/(2*(-3)/6). Suppose 3 = r - k. What is the units digit of r? 3 Let f = 290 - 116. What is the units digit of f? 4 Suppose 5*f - 3*f - 10 = 0, -2*f = 5*h - 50. Let z = h + -6. Suppose -4 = -4*l + z*a + 2, 0 = -2*l + 2*a + 4. What is the units digit of l? 1 Suppose 4*h + 3*k = 264, -3*k + 4*k + 4 = 0. What is the units digit of h? 9 Let f = 20 + -14. Let y(o) = 2*o + 5. What is the units digit of y(f)? 7 Suppose -2*v - 10 = 0, 0*i - 2*i + 4*v = -14. What is the units digit of 4 - i - (-1 + 4)? 4 Suppose 0 = -4*r + r + 33. Let b(u) = u - 7. Let k be b(0). Let z = r + k. What is the units digit of z? 4 Suppose -6*u + u = -3*s - 120, 4*s + 7 = u. Let v = 57 - u. What is the tens digit of v? 3 What is the units digit of 6*(-7)/56 - (-214)/8? 6 Let d(h) = h**3 + 13*h**2 + 11*h + 8. What is the tens digit of d(-12)? 2 Let x = 0 + 0. Let u be ((-2)/(-1) - x)*-5. What is the tens digit of 4/u + 104/10? 1 Let y(l) = l**2 + 7*l + 7. Let s be y(-5). Let u(r) = r**3 + 4*r**2 + r - 4. Let n be u(s). What is the units digit of n*-4*1/(-2)? 4 Let m be ((-12)/(-10))/(3/15). What is the units digit of 45/m*(-12)/(-10)? 9 Let p = 11 + 9. What is the units digit of (87/12)/(5/p)? 9 Suppose 0 = -9*n + 2*n. Let m(l) be the third derivative of l**5/60 - l**4/24 + 11*l**3/6 + l**2. What is the tens digit of m(n)? 1 Let c(k
{ "pile_set_name": "DM Mathematics" }
3132 = -166*d + 2844. Let u(p) = p**2 - 39*p + 93. Calculate u(d). -15 Let v be (127/(-127))/((-4)/(-14))*24/42. Let q(a) = a**2 - 4*a + 3. Let k be q(4). Let p(m) = m**3 - 3*m**k + 1 - 3*m**2 + m**3. Determine p(v). -3 Let l(b) = -b**2 + 11. Suppose -4*j - 2*o = -0*j - 8, 16 = -3*j + 4*o. Suppose 6*d + 6 = j, -2*p = 3*p + 5*d + 5. Give l(p). 11 Let o(c) be the second derivative of -c**4/12 - 3*c**3/2 - 3*c**2/2 + c. Suppose -120*d + 189 = 1149. Calculate o(d). 5 Suppose 739*d - 748*d = -9. Let q(f) = 2*f**2 + 16*f**2 - 23*f**2. Give q(d). -5 Let v(k) = k + 13. Let n(u) = -u**3 - 7*u**2 - 10*u + 2. Let o be n(-5). Let w(r) = 2*r + 14. Let a(q) = o*w(q) - 3*v(q). Give a(9). -2 Let i(j) = 4*j**3 - 5*j**2 - j - 6. Let r(b) = -4*b**2 + b + 97. Let g be r(5). Calculate i(g). 4 Let r(a) = 10 + 79*a**2 - 19 + 6*a - 20*a**2 - 30*a**2 + a**3 - 23*a**2. What is r(-5)? -14 Let t(c) = -c**2 - 10 - 375*c + 202*c + 180*c. Suppose -8 + 71 = 9*y. Give t(y). -10 Let x(o) = o - 6*o**3 + 6*o**3 + 23*o**2 + 15*o**3 + 14*o**3 - 30*o**3 - 20. What is x(23)? 3 Let u(q) be the second derivative of -q**5/20 - 3*q**4/4 - 11*q**3/6 - 3*q**2 + 286*q + 8. What is u(-7)? -27 Let f(v) = 3*v**3 + 15*v**2 - 28*v - 27. Let o(m) = -2*m**3 - 10*m**2 + 18*m + 17. Let s(j) = 5*f(j) + 7*o(j). Determine s(-7). -16 Let j(s) be the third derivative of 1/60*s**5 + 2/3*s**3 - 188*s**2 + 5/24*s**4 + 0*s + 0. Calculate j(-3). -2 Let x(s) = -72*s + 23. Let c be x(2). Let j be 2/(-4) - c/(-22). Let i(p) = -p**3 - 5*p**2 + 8*p + 9. Calculate i(j). -3 Let w(r) be the second derivative of -7*r**3/3 + 36*r**2 + 48*r. Let s be w(5). Let z(x) = -x**2 + 2*x + 1. Give z(s). 1 Let t = -21477 - -21479. Let h(p) = 10*p - 33. Calculate h(t). -13 Suppose 2*h = -2*h - 4. Let v(w) be the second derivative of -1/2*w**2 + 8*w + 1/2*w**4 - 1/3*w**3 + 5. Determine v(h). 7 Let c(r) = r**2 - r - 2. Suppose 0 = 2*j - 0 - 4. Suppose 1 + 3 = j*y. Suppose 3*n = y*w - 2, 2*w + 0*w = 2*n. What is c(n)? 4 Let f(j) = j**2 + 42*j - 9. Let g(a) = 2*a**2 + 62*a - 11. Let d(o) = -8*f(o) + 5*g(o). Give d(12). -7 Let x(b) = -3*b**3 - 3*b**2 - 2*b. Let h be x(-1). Let y(m) = 190*m**2 + 3 - 191*m**h + 13. Determine y(0). 16 Suppose 563 - 318 = 112*q - 427. Let d(w) = 5*w - 1. Give d(q). 29 Let i(c) = -59 - c**2 - 429921*c + 429928*c + 2*c**2. Calculate i(-11). -15 Let w(j) be the second derivative of -j**6/120 - 11*j**5/60 + j**4/24 + 13*j**3/6 - 23*j**2 + 13*j. Let n(q) be the first derivative of w(q). Determine n(-11). 2 Let w(m) = m**3 - 5*m**2 - 3*m - 8. Suppose -3*p - 5*i + 515 + 203 = 0, 0 = -3*i + 6. Let f = p + -230. Give w(f). 10 Let o(b) be the second derivative of b**4/12 + 5*b**3/3 + 21*b**2/2 + 12*b + 1. Suppose -10*u - 54 - 16 = 0. Give o(u). 0 Let x(s) = 0*s + 5*s**2 + 3*s + 2 - 3*s. Let q be 472/177 - 112/24. Determine x(q). 22 Let h(t) = 3*t - 44. Let m(f) = 45*f + 2520. Let a be m(-56). Give h(a). -44 Suppose 679*x - 662*x + 221 = 0. Let o(k) = k**2 + 13*k + 10. What is o(x)? 10 Let l(u) = -5*u + 63. Let h(n) = n**2 + 37*n + 326. Let t be h(-13). Give l(t). -7 Let r(u) be the third derivative of -u**4/12 - u**3/3 + 15*u**2 - 106. What is r(-15)? 28 Suppose -2 = h - p + 4, 4*h = 3*p - 23. Let f(q) = q**2 + 4*q - 1. Let r be f(h). Let t(b) = -b**2 + 6*b - 3. What is t(r)? 5 Suppose 57 - 1 = -2*j. Let l = j - -43. Let o(b) = -l*b - 15 + 12*b + 3. Give o(-8). 12 Let q(n) = -6*n**3 - 28*n**2 + 40*n + 34. Let z(j) = 5*j**3 + 28*j**2 - 38*j - 31. Let y(k) = -6*q(k) - 7*z(k). Determine y(27). -14 Let u(y) = -6*y**2 - 5*y - 5. Let v(f) = -f**2 - f. Let s(g) = u(g) - 5*v(g). Let p = 2965 - 2969. Give s(p). -21 Let d(p) = 2*p**2 + 2. Suppose 0 = 4*i - f - 0*f - 242, 4*f = -8. Suppose 31*y = y - i. Calculate d(y). 10 Let t(x) be the second derivative of 1/2*x**3 + 0*x**2 + 0 + 149*x - 1/12*x**4. Calculate t(5). -10 Let p(o) = o**2 + 13*o + 14. Let x be p(-12). Let t(a) = 3*a**x - 3*a - 10934 + 10934. Calculate t(2). 6 Let n(s) = -1131*s - 9037. Let m be n(-8). Let o(c) = c**3 - 12*c**2 + 9*c + 18. Calculate o(m). -4 Let j(o) = -5*o - 2. Suppose 300 = -5*d - n, 5*d + 305 = -5*n + 5. Let p = -53 - d. Suppose -3 = 2*l + p. What is j(l)? 23 Let n(z) = z**3 - 5*z**2 + 5*z - 4. Let h(d) = 87*d - 69. Let g be h(6). Suppose 4*p - g = -437. Determine n(p). 0 Let o be ((-231)/(-44) - 5)/(6/24). Let b(f) = -3*f + 5*f - 4*f - f**2 + 3. Let h(x) = 3*x**2 + 4*x - 7. Let m(r) = 5*b(r) + 2*h(r). Give m(o). 0 Let t = -7770 - -7770. Let m(v) = -v**2 + 4*v - 37. Determine m(t). -37 Let c(i) = 28*i - 117. Let l(j) = -93*j + 396. Let b(s) = 33*c(s) + 10*l(s). Give b(17). -3 Let j be 2*((-78)/36 - 4/3). Let d be (-4)/(-14) + (-95)/(-35) + 0. Let c(l) = -3*l - 5 - 7*l**2 - d*l**2 - 3 - l**3 + 3*l**2. Determine c(j). 13 Let y = -136 + 150. Let p(m) = -1 + y*m**2 + 20*m**2 - 33*m**2 + 5*m. Let k(f) = 2*f**2 + 9*f - 2. Let x(l) = 6*k(l) - 11*p(l). What is x(3)? 5 Let d(p) = -3*p - 42 - 40 + 83 + 2*p. Let v(a) = 3*a + 9. Let q(f) = 2*d(f) + v(f). Determine q(-5). 6 Suppose 0 = -11*g + 8*g + 96. Suppose 44*n - 36*n - g = 0. Let p(d) = -d**2 + 2*d + 1. Determine p(n). -7 Let p(b) = -342 + 701 - 2*b - 356. Suppose -3*f = 4*k - 10, 5*f + k - 7 - 21 = 0. What is p(f)? -9 Let l(y) = y - 2. Let z be ((-125)/(-20) + -5)*28. Suppose -39*b = -z*b + 16. Give l(b). -6 Suppose -3*w - 3 = 0, 0 = -0*r + r - 5*w + 12. Let d(n) = -n**3 - 18*n**2 - 18*n - 17. Let b be d(r). Let y(a) = -1 + a**3 + 0 + 8 + 3 - a. Determine y(b). 10 Let y = -10139 - -10144. Let z(x) = 0 + 2*x - 5*x + 7. Let j(f) = 4*f - 8. Let p(g) = y*z(g) + 4*j(g). Determine p(-4). -1 Let v(f) be the first derivative of -88*f**2 + 11*f + 87*f**2 + 2*f + 49. Determine v(9). -5 Let x be 208/24 + -10 - 22/6. Let n(s) = -s**2 - 6*s - 6. What is n(x)? -1 Let g(q) = 115*q**2 + 23. Let d(i) = 64*i**2 + 11. Let v(n) = -9*d(n) + 5*g(n). Calculate v(3). 7 Let d(n) = n**3 - 14*n**2 + 14*n - 3. Let z be d(13). Suppose -z = -8*b - 2. Let x(y) = -16*y**3 - y**2. Give x(b). -17 Let w(i) = -3*i - 1. Let m be ((-2)/(-6))/(-3 + (-275)/(-90)). Suppose -5*d - 3 = -m*d, d - 22 = -l. Suppose 11 - l = 4*u. Determine w(u). 5 Suppose 0 = -n - 2*a + 7, -3*n + 0*a + 17 = 5*a. Let j(l) = 158*l**2 - 5*l + 5. Let g(h) = -91*h**2 + 3*h - 3. Let r(p) = 5*g(p) + 3*j(p). Determine r(n). 19 Let g(l) = -363 + 134 + 137 + 15*l + 117. What is g(-2)? -5 Let u be 5/(-1) + 6 + -7. Let w(o) = o + 8. Let i(p) = -2*p - 17. Let d(n) = u*i(n) - 14*w(n). Suppose 77*q = 67*q - 70. Give d(q). 4 Let u be (7/7)/(3/(-207)). Let k = u - -78. Let j(l) = -l**3 + 9*l**2 + 2*l - 13. What is j(k)? 5 Let r(t) = -3*t + 13*t + 8*t - 122 - 5*t. Let s be r(9). Let m(l) = -l**3 - 4*l**2 + 8*l + 7. Calculate m(s). -8 Let o(b) = -8*b**2 + b - 6. Let q(f) = 31*f**2 - 3*f + 20. Let y(u) = -11*o(u) - 3*q(u). Determine y(-2). -10 Let v(b) = -8*b - 1. Let k = 17 - 10. Suppose -k*u + 14 = 427. Let p = u + 58. Calculate v(p). 7 Let q(j) = -4*j + 74. Let m(h) = 4*h - 18. Let r(y) = 3*m(y) + 2*q(y). Calculate r(-19). 18 Let r(n) = 39*n - 499. Let k be r(13). Let m(b) be the first derivative of -b**3/3 + 3*b**2 + 13*b - 6. Give m(k). -3 Let u(f) = f**3 + 8*f**2 - f - 10. Suppose 22 = -4*b + 2*a, -11*b + 5*a + 33 = -12*b. Determine u(b). -2 Let d(v) = -1 + 408*v - 16 - 421*v - v**2. Give d(-14). -31 Let m(a) = 4*a**2 - a - 2. Let w(q) = 13*q**2 + 26*q + 92. Let v(c) = 3*m(c) - w(c). What is v(-25)? 2 Let q(f) = 3*f**3 - 17*f**2 - 29*f + 15. Let b be q(7). Let d(z) = -11*z - b + 4 + 2. Determine d(1). -13 Let k(i) = i**3 + 12*i**2 + 21*i - 1. Let w be k(-10). Let g = w + 14. Let x(p) be the second derivative of -p**5/20 + p**4/4 - p**3/6 - 5*p. Calculate x(g). -3 Let j(b) = b**3 + 2*b**2 - 1. Suppose 2*m + 389 = 3*x, 0*x - 2*x - 404 = 2*m. Let k = 201 + m. What is j(k)? 15 Let g(d) = d**3 + 2*d**2 + 3*d + 3. Let m be (32 + -27)/(-35)*(0 + -21). Determine g(m). 57 Let c(p) = -303*p - 1210. Let v be c(-4). Let g(q) be the third derivative of 0*q**5 + 0*q - 1/120*q**6 - q**2 + 0 + 0*q**3 + 0*q**4. Determine g(v). -8 Let x(h) = 5*h + 66. Suppose 8*p - 5*p = -4*b - 41, 5*p - 38 = 3*b. Calculate x(b). 11 Let w = 6 + -5. Suppose -4*l + 5 = s, -3*s - 3 = -6. Let m(f) = l - 6*f - f**2 + f**3 + 0*f**2 - 15*f**3 + 5*f. Determine m(w). -15 Let b be (2 + -1)/((-10)/50). Let n(u) = -3
{ "pile_set_name": "DM Mathematics" }
ond biggest value in -13, r, 1? 1 Let a = -5.26 - -1.26. What is the second smallest value in 3/7, a, 1/20, 1? 1/20 Let m be 14/10 - (-3)/(-3). Let p = 0.053 - 0.253. Which is the smallest value? (a) 3 (b) p (c) m b Let g = -0.62 + 1.59. Let f = 17 - 17.03. Let i = g - f. Which is the third smallest value? (a) 4 (b) i (c) 1/5 a Let p = 0.3 + 5.1. Let j = p - 1.4. Let t be (9/(-2))/(8 + -5). Which is the second biggest value? (a) t (b) j (c) 7 b Let l = -0.021 + 0.491. Let i = -0.17 + l. Let h = -0.6 + i. Which is the second smallest value? (a) h (b) -1 (c) 1/7 a Let p = 17 - 24.5. Let f = 7.7 + p. What is the second smallest value in -5, 7, 4, f? f Suppose -u + 11*u + 60 = 0. Let p be u/14 - -5*25/455. Which is the third smallest value? (a) -0.2 (b) 0 (c) -2 (d) p d Let f = 24 - 23. Let v = 21 - 149/7. Which is the third biggest value? (a) v (b) f (c) 2 a Let v = 435 + -452.7. Let p = v + 17. Let s = p - -2.7. Which is the second smallest value? (a) s (b) -5 (c) 4/7 c Let d = 492 + -489. What is the smallest value in 0.05, 0.8, d? 0.05 Let v = -70 - -71. Let y(f) = f - 4. Let d be y(3). Let x = 6 - 4. What is the second biggest value in x, v, d? v Let q = 4.86 + -5.86. What is the third smallest value in -4, -17/6, q? q Let m = -5.98 + 5.68. What is the third biggest value in -4/7, 3, m, 9? m Let y = 0.153 - 2.153. Which is the third biggest value? (a) 2 (b) -4 (c) y (d) 1 c Let z = -0.4 - -1. Let k be 3/(-2)*16/(-180). Let x = -1062 + 1062.3. What is the biggest value in z, k, x? z Let j = 14.981 - -0.019. Let p = -15.5 + j. Which is the fourth biggest value? (a) -2/9 (b) 3 (c) -0.2 (d) p d Let l(h) = 3 + h + 1 + 2. Let w be l(-7). Let s(t) = 2*t**2 - 18*t + 5. Let p be s(9). Which is the third smallest value? (a) p (b) w (c) 0 a Let d = 6.9 - -16.6. Let u = -21.4 - 1.6. Let r = u + d. What is the third smallest value in 4, r, -3? 4 Let t = -5.84 - -5.74. What is the third smallest value in -0.03, t, 0.4, 4/3? 0.4 Let r = -51 - -42. Let f(s) = -s**2 - 9*s - 9. Let i be f(r). Which is the smallest value? (a) i (b) -2 (c) 5 a Suppose -20 = 4*a - 16. Let q be a/2 - (-6)/(-36). Let y = -10 + 6. What is the third smallest value in y, 5, q? 5 Let x be ((-22)/9 + 2)/2. Let r = -114 - -118. Suppose 0*f + f = r*d - 5, -15 = -3*f - 3*d. What is the second biggest value in x, -0.1, f? -0.1 Let o = -999.94 - -1000. Which is the fourth biggest value? (a) -3 (b) 4 (c) 6 (d) o a Suppose -2*g + 4*g + 18 = 0. Let r = -0.831 - -0.931. What is the smallest value in g, r, 2, -0.1? g Let k = 1.04 + -1. Let f = 2.04 - k. Let u = 166 - 170. Which is the second biggest value? (a) u (b) -4/9 (c) f b Let m = -0.463 - -0.42. Let s = m - 7.957. Which is the second biggest value? (a) 1/6 (b) s (c) 0.2 a Let l = 21 + -57. Let f = l + 37. Which is the biggest value? (a) f (b) -0.5 (c) -0.4 a Let k = 0.023 - -0.069. Let j = -4.092 + k. Which is the second biggest value? (a) -3/7 (b) j (c) -0.2 a Let r = -192/5 - -39. Let u = 860 - 856. What is the second smallest value in 5, r, u, -1? r Let d = -2.7 + -11.3. Let s = d - -9. Let m = -335 - -345. What is the biggest value in s, -2/5, m? m Let d be (-76)/38 - 52/(-24)*1. What is the third smallest value in d, -0.9, 1, 5? 1 Let m = 0 - 0.3. Let q = -0.1 + m. Let w = 617.5 - 618. Which is the biggest value? (a) q (b) -1/8 (c) w b Let s = 39 - 36. Let g be 8/10 - (-4)/(-6). Which is the third biggest value? (a) g (b) s (c) 0 c Let q = 21 + -27. Let j = -17.1 - -17. What is the smallest value in j, 3, q? q Suppose 2*h - 2*p = 6, 4*p - 2 = -5*h - 14. Suppose h = -f - 3 + 4. Suppose 0 = -b - f. What is the second smallest value in -0.4, 2, b? -0.4 Let v = -1 - -1.6. Let x = v - 2.6. Which is the third smallest value? (a) 0.4 (b) x (c) -0.4 a Let n = 115.1 - 117.1. Which is the fourth smallest value? (a) -2/7 (b) n (c) 0.1 (d) 13 d Let p = 115.8 - 116. What is the third biggest value in 2/3, p, -3/7, 1/5? p Let y = -0.8 - -8.8. Let v = 11.3 + -23.3. Let d = y + v. What is the second smallest value in -3, d, -0.02? -3 Suppose 2*l - 8*p = -9*p + 410, 0 = 4*l + 5*p - 814. Which is the biggest value? (a) l (b) -1/3 (c) -1 (d) 4 a Let k(u) = -u**2 - 3*u - 6. Let h be k(-4). Let r = -1382 + 1387. Which is the fourth biggest value? (a) -5 (b) 4 (c) h (d) r c Let i = 0.2 + 0. Let w = -0.3 + -1.7. Let j = 0.313 - 1.313. What is the third biggest value in w, j, i? w Let h = -1505/2 + 752. Which is the biggest value? (a) 0.1 (b) -5 (c) h (d) -2 a Suppose -11*u - 3 = -36. What is the fourth biggest value in 0, 0.05, -0.1, u? -0.1 Suppose 17 = w + 5*x, 4*w + 10 + 14 = 3*x. Which is the third smallest value? (a) 1/2 (b) -1/2 (c) -2/9 (d) w c Let f = -0.2 + 0.7. Let q = f + -0.6. Let i be (54/(-30))/(3/(-20)). What is the biggest value in 1, q, i? i Suppose 0 = 2*x - x - 3. Let w = -2 - x. Suppose p - 5*r = 0, 4*p + r = 3*r. Which is the third biggest value? (a) p (b) w (c) -2/7 b Let s be 5*(-2 - (-32)/20). Let i = 2.6 + 2.4. Let n = 7 - i. What is the second smallest value in n, s, -1? -1 Let u = -0.43 + 0.13. Let c be (4/10)/1 + (-559)/860. What is the second smallest value in -3, c, u? u Suppose k = -3*k + 16. Let g be 9/k - ((-5)/(-20) - 1). Which is the second smallest value? (a) 2/3 (b) -2 (c) g a Let k = 24 + -15. Let f = 3 - k. Let t be (-9 - f) + 5 + 1. Which is the second biggest value? (a) 0.5 (b) -2 (c) t a Let s = -5 - -10. Let n be (-87)/(-27) + -3 + (-1042)/(-3492). Let p = -2/97 + n. Which is the second smallest value? (a) s (b) -1/5 (c) p c Let n = -0.073 + 0.573. Let j = -9 + 14. What is the third biggest value in j, 10, n? n Let u = -208.4 + 208. Which is the third smallest value? (a) u (b) 87 (c) 3 (d) -3 c Let x = -4/13 + -5/26. Let g = -104/29 + 35499/203. Let r = 171 - g. Which is the smallest value? (a) 3 (b) x (c) r b Let w = 15.82 + 0.18. Let f = w - 18. Let h = f + 4. What is the second biggest value in 1/2, h, -1/3? 1/2 Let t = 779 - 10107/13. What is the second smallest value in 2, -1/6, t? t Let f = -0.04 - -0.07. Let t = -0.43 + f. Suppose -p = 3*p. Which is the third biggest value? (a) p (b) 3/5 (c) t c Let t be (-159)/212 - 4/(-2). Which is the second smallest value? (a) t (b) -0.6 (c) 0.4 (d) -2 b Let n = 258 + -250. Let o be 4/(-10) + 2/(-20). Which is the second smallest value? (a) n (b) -3 (c) o c Let r = -16/17 - -46/85. Let y = -7 - -6.7. What is the second biggest value in y, 3/5, r? y Let i = -0.027 + -0.473. Which is the third biggest value? (a) i (b) -2 (c) 8 (d) 5 a Let u = -1.49 + -0.51. Let k = 204/35 + -32/5. What is the fourth biggest value in 2, -5, k, u? -5 Let q = 52 - 40. Suppose 0 = -g + 4*g - q. What is the third smallest value in g, -1, -2? g Let n = -15 - -10. Suppose -p - 4*h - 3 = 0, p + 33 = 3*h + 30. What is the smallest value in -2, p, n? n Let r be 202/7*1190/(-510). What is the second smallest value in r, 1, -0.1? -0.1 Suppose -n + 5*g = 4 - 1, 2*n = 4*g. Let w be n + ((-36)/8 - -3). Let z = 0.6 + -3.6. What is the smallest value in w, 0.4, z? z Let v = -1470 + 1466. Let p = -5 + 8. What is the smallest value in -2/3, v, p? v Let v(c) = -c - 26. Let q be v(-20). Let n(a) = -a**2 - 10*a - 19. Let j be n(q). What is the third smallest value in -4/33, 4, j? j Let j(t) = -t**3 - 4*t**2 - 3*t - 16. Let u be j(-7). Let q = 147 - u. Which is the second biggest value? (a) -6 (b) 5 (c) q (d) 4 d Let n be (-15)/(-18) + (-830)/600. Let m be ((-2)/8)/(1/3). Let s = m - n. What is the third smallest value in -2, s, 0? 0 Let l be (-17)/((3/6)/((-5)/10)). Suppose 0 = 12*t + 5 - l. Let x = -1 + 1.1. Which is the third smallest value? (a) x (b) t (c) -1/5 b Let f = -32 + 25. Let o = -7.5 - f. What is the second smallest value in 3/5, o, -4? o Let j(q) = -39*q - 387. Let d be j(-10). Which is the third biggest value? (a) -3/8 (b) -3 (c) d b Let y = 344.6 + -345. Let h = -0.2 - 0.3. What is the fourth biggest value in h, 2, y, 3/5? h Let d = -106 + 105.95. Let t = -8.3 + 8. What is the second smallest value in -1, d, t? t Let c be (62/(-9))/(260/(-30)). Let b = 20/13 - 2. Let k = b + c. What is the second smallest value in k, 5, -1/2? k Let p be ((-3)/69)/((-2)/4). Let r = 0.08
{ "pile_set_name": "DM Mathematics" }
-15)*(45 - k). 2, 3 Let u = -8 - 0. Let w(j) = -j**2 - 9*j - 1. Let n be w(u). Suppose 5*v = 5*r - 28 - n, 12 = 3*v. What are the prime factors of r? 11 Suppose -2*n - 2 = 0, n - 2*n = 4*d - 27. Suppose -19 = -4*g + q, g + g = 3*q + d. Suppose g = j + 3*v, -2*v + 4 = 2. What are the prime factors of j? 2 Let x(g) = g - 1 - 2 + 4. Let b be x(1). Suppose -3*i = d, 2*d - 7*d + 34 = -b*i. List the prime factors of d. 2, 3 What are the prime factors of (-942)/(-18) + 1 - 4/(-6)? 2, 3 Let a = -59 - -91. List the prime factors of a. 2 Let i = 146 + -97. List the prime factors of i. 7 Let u = -5 + 10. What are the prime factors of u + -5 + 1*2? 2 Let n(d) = 6*d - 12. List the prime factors of n(5). 2, 3 List the prime factors of -20 - -18 - 174/(-2). 5, 17 Let z be 78/(-8) + 3/(-12). What are the prime factors of (28/z)/((-6)/30)? 2, 7 Let y = 12 + 0. Suppose -4 = -i - i. List the prime factors of (i + y/9)*3. 2, 5 Suppose -4*s + 8 = -4*u, u - 2*u = 4*s - 8. Suppose 0 = 5*o + 20, -s*d + 4*o + 33 + 49 = 0. List the prime factors of d. 3, 11 Let q(u) = u**3 - u**2 - u - 1. Let a(k) = -4*k**3 + 4*k**2 + 7*k + 4. Let s(o) = a(o) + 5*q(o). List the prime factors of s(2). 7 Let n(c) = c**2 - 15*c + 5. Let x(w) = w**2 - 16*w + 5. Let j(z) = 7*n(z) - 6*x(z). Let k be j(8). List the prime factors of ((-1)/k)/((-3)/(-45)). 5 Suppose 26 = 2*n + s, -7*s + 3*s - 28 = -3*n. List the prime factors of n. 2, 3 Suppose -5*b - 5*d + 1590 = 0, -3*d - 163 = 5*b - 1757. List the prime factors of b. 2, 5 Let n(x) be the third derivative of x**6/120 + x**5/12 - x**4/12 + x**3/3 - 5*x**2. List the prime factors of n(-5). 2, 3 Suppose 3*r + r = 200. Suppose 3*u - 25 = r. What are the prime factors of u? 5 Let x(s) = -2*s - 3. Let i be x(-2). Suppose -5*j + 76 = i. Suppose 3*w - j = -2*w. What are the prime factors of w? 3 Let h = -4 + 117. Let z = -70 + h. What are the prime factors of z? 43 Suppose 17 + 25 = 3*i. What are the prime factors of i? 2, 7 Suppose -2*q + 71 + 5 = 0. Let p = -16 + q. Let s = -13 + p. What are the prime factors of s? 3 Suppose 288 = o + 2*o. Suppose 3*b - o = -b. List the prime factors of b. 2, 3 Let z(g) = g**2 - 7*g + 4. Let m be z(3). What are the prime factors of (6/4)/((-6)/m)? 2 What are the prime factors of (-1)/5 + (-132)/(-10)? 13 Let x(d) = -d. Let b be x(-9). Suppose -t - 1 + b = 0. Suppose -o - t = -2*o. What are the prime factors of o? 2 List the prime factors of (38/95)/(2/60 + 0). 2, 3 Let m = 39 - 23. What are the prime factors of m? 2 Suppose 16 - 40 = -3*l. Suppose 0 = -l*f + 9*f - 46. What are the prime factors of f? 2, 23 Suppose 2*i - 3*i = l - 51, -i - 145 = -3*l. What are the prime factors of l? 7 Suppose 4*n - 448 = 172. What are the prime factors of n? 5, 31 Let y(j) = 4*j**2 + 4*j + 2. Let m = -5 + 3. Let d be y(m). Let w = 16 - d. What are the prime factors of w? 2, 3 Let u(f) = 7*f. Suppose 0*d - 5*d = -5. Let t be u(d). Suppose 0 = -5*q + 13 + t. List the prime factors of q. 2 Let l = 36 - -142. List the prime factors of l. 2, 89 Let l = 25 + -11. List the prime factors of l. 2, 7 Let g = -2 + 14. Let u be (-1)/2 - 4/8. Let k = u + g. What are the prime factors of k? 11 Suppose -5*g = 2*z - 503, -2*z + 48 = 3*g - 253. What are the prime factors of g? 101 Let q(t) = -t**3 - 12*t**2 - 19*t + 6. List the prime factors of q(-11). 2, 47 Let k(y) = y**3 + 6*y**2 - 5*y + 10. Let o be k(-7). Let h be ((-1)/o)/((-1)/(-4)). Let m = 3 - h. List the prime factors of m. 2 Let n(l) = l**3 + 8*l**2 + 6*l - 5. Let a be n(-7). Let w = 5 - a. Suppose -4*v - 3*q = -69, 2*v + 4*q = w*v - 22. List the prime factors of v. 2, 3 List the prime factors of 1*(-49 + -2 + 2)*-2. 2, 7 Suppose 3*z + 5*p + 8 = 0, p = z + 2*z - 16. What are the prime factors of (z/(-6))/((-1)/33)? 2, 11 Let z(j) = 2*j**2 - 2. Let u be z(3). Let b = u - -23. What are the prime factors of b? 3, 13 Suppose 0 = 5*c - 35 + 10. Suppose -2*g - o + 100 = -6*o, 250 = c*g + 5*o. List the prime factors of g. 2, 5 Suppose -d - 4 + 61 = -4*y, 4*d + 4*y = 228. List the prime factors of d. 3, 19 Let j(k) = 5*k**2 - 5*k + 3. Suppose -3*g + 7 = -2. List the prime factors of j(g). 3, 11 Suppose 0 = h + 4 - 31. What are the prime factors of h? 3 Let z(s) = s**3 + s**2 + 5*s + 5. Let n be z(7). Suppose 0*h + 3*h = -n. What are the prime factors of 2/(-7) + h/(-14)? 2, 5 Suppose -2*y = -3 - 1. What are the prime factors of (y + 1)*66/18? 11 Let p = 21 - 11. Suppose -151 = -5*c + t, 0*c - 119 = -4*c - t. Suppose 5*o - p = c. List the prime factors of o. 2 Suppose -b + 0*b + 1 = 0. Let m = -1 - b. List the prime factors of 2/(m/7*-1). 7 Let z = 9 - 1. Suppose -5*j = 5*u + 10, 2*u + z = 3*j - 7*j. What are the prime factors of u/(-1) + (6 - -8)? 2, 7 Suppose 0*o - 5*o - 70 = 0. List the prime factors of (o/(-6))/(2/6). 7 Let c be (-1 - -8) + 3/(-3). Let w = c - -1. What are the prime factors of w? 7 Suppose 171 = 10*n - 7*n. What are the prime factors of n? 3, 19 Let p = -2 - -5. Suppose -p*v = -12, -4*v + 0*v = -2*j - 6. Suppose 15 = 5*z - j. List the prime factors of z. 2 Suppose 2*x = -5*x + 623. List the prime factors of x. 89 Suppose 2*p = -2*p + 60. Suppose -3*a + p = -0*a. What are the prime factors of a? 5 Suppose 11 + 23 = a. List the prime factors of a. 2, 17 Let d(y) be the second derivative of y**6/60 + y**5/120 - y**4/12 + y. Let w(f) be the third derivative of d(f). List the prime factors of w(1). 13 Let n(t) = t + 4. Let r be n(6). What are the prime factors of (1 + 1)/(5/r)? 2 Let z(s) = s**2 - s + 5. Let b be z(0). Let f = -346 - -240. What are the prime factors of f/(-10) + 2/b? 11 Suppose 9 + 1 = 2*n. Let d(o) = 7*o + 2*o - 9 + 6*o + o**2 - n*o. List the prime factors of d(-11). 2 Let i(z) = -9*z**2 - 7*z + 4. Let y(c) = 19*c**2 + 15*c - 9. Let w(a) = -13*i(a) - 6*y(a). List the prime factors of w(-2). 2, 3 Let l = 43 - 26. List the prime factors of l. 17 Suppose u = -x + 2*x + 28, -2*x = 6. What are the prime factors of u? 5 Let w = -69 - -128. Suppose -3*y = -w - 79. What are the prime factors of y? 2, 23 Suppose -2*c + 3*c - 2 = 0. Suppose 0 = r + c*r - 15. Let w(h) = 3*h + 7. List the prime factors of w(r). 2, 11 Let o(m) = -m + 1. Let z be o(-5). List the prime factors of z/(-45)*3*-105. 2, 3, 7 List the prime factors of (-6)/4 + (1326/12 - -5). 2, 3, 19 List the prime factors of (260/(-91))/(1/(-7)). 2, 5 List the prime factors of ((-52)/8)/(2/(-4)). 13 Let g(w) = w**3 - 2*w**2 + 1. Suppose -4*u = -0*m + 5*m - 37, -3*m = -3*u - 6. List the prime factors of g(u). 2, 5 List the prime factors of (-8)/(-60) + (-1192)/(-60). 2, 5 What are the prime factors of 2/(-3) - 10/(-6) - -158? 3, 53 Let w be 70/8 - (-2)/8. Suppose -4*v - p + 8 + 6 = 0, -v = 3*p - w. What are the prime factors of v? 3 Let o = 128 + -74. List the prime factors of o. 2, 3 List the prime factors of (14/(-3))/((-18)/351). 7, 13 Let f = -11 - -9. Let d(r) be the first derivative of 2*r**3/3 + r**2 + 2*r - 1. What are the prime factors of d(f)? 2, 3 Let s be -38*((-15)/6 - -1). Let o = -23 + s. List the prime factors of o. 2, 17 Let i = -56 + 100. What are the prime factors of i? 2, 11 List the prime factors of (-276)/(-3) + (-2 - (-4)/2). 2, 23 List the prime factors of -10*10*32/(-20). 2, 5 Let w = 131 + -67. Let j be (-3 - -6)/((-6)/(-4)). Suppose 6*c - j*c - w = 0. List the prime factors of c. 2 Suppose -4*n + 74 = -118. List the prime factors of 12/n + (-166)/(-8). 3, 7 Suppose -l = 4*c + 5, -2*c = 2*l - 7*c - 16. Suppose l*m + m = -5*d + 53, 5*m = 5*d + 55. What are the prime factors of m? 2, 3 Let f = 35 - 20. List the prime factors of f. 3, 5 Let m(w) = w**3 + w**2. Let i(x) = 3*x**3 + 15*x**2 + 13*x - 18. Let k(l) = -i(l) + 4*m(l). What are the prime factors of k(12)? 2, 3 Suppose 11*v = -v + 552. What are the prime factors of v? 2, 23 Let t(w) = w + 10. Suppose 4*c + 13 = 2*r - 31, 3*r - 56 = 5*c. Let z = 4 + c. What are the prime factors of t(z)? 2 Let a(n) = -n**3 - 7*n**2 + 7*n + 1. Let k be a(-8). Let u = 29 - 11. List the prime factors of 2/k + 140/u. 2 Let y(l) = 22*l - 44. What are the prime factors of y(10)? 2, 11 Let f(o) = -o + 9. Let h be f(13). List the prime factors of 0 + (-34)/(h/2). 17 Let n = -41 + 61. What are the prime factors of n? 2, 5 Suppose -3*k + 4*n = 2*n + 104, 0 =
{ "pile_set_name": "DM Mathematics" }
common multiple of 1 and -1*(o - (2 + 1))? 5 Let c(y) = 2*y + 207. What is the lowest common multiple of c(44) and 20? 1180 Calculate the common denominator of 91/225 and (385/44 - 3)*(-1)/(-10). 1800 Let s = 208/3 - 1229/18. Calculate the common denominator of 91/15 and s. 90 Suppose 3*l + 17 = 3*m + 110, -116 = -4*l - 4*m. Calculate the least common multiple of 18 and l. 90 Let i = -2407/1408 + -43/128. Let c be (-5)/(-20)*(-1 + 9). Calculate the common denominator of i and 70/c*1/8. 88 Let a = -20 - -20. Suppose -5*s + 19 - 14 = a. Calculate the smallest common multiple of s and ((-44)/(-6))/(6/9). 11 Let a = 6643/828 + -189/23. Find the common denominator of a and 131/24. 72 What is the common denominator of 371/42 - (-6)/2 and -4/79? 474 Let x be ((-2)/(-21))/((-8)/(-822)). Let q = x + -704/63. Find the common denominator of -29/22 and q. 198 Let q(t) = t**3 + 7*t**2 + 5*t + 4. Suppose 0*v = 3*v - 15. Calculate the smallest common multiple of q(-6) and v. 10 Let q(y) = y**3 - y**2 - 3*y + 1. Let d be q(3). Calculate the common denominator of 91/12 and (-2)/d - (-685)/550. 132 Let g = 5984 - 47799/8. Suppose -p + 1201 = 24941. Let j = p - -522383/22. What is the common denominator of g and j? 88 What is the common denominator of 44/153 and -174*(-4)/16*(-2)/4? 612 Suppose 3*o + 4 = 7*o, -5*i - 4*o = -104. Let c = i - 28. Calculate the common denominator of (c/20)/((-36)/515) and -21/8. 72 Let l = 1000 + -962. Let t(x) = x. Let v be t(2). Suppose -v*w - 3*w = -10. Calculate the lowest common multiple of w and l. 38 Let g = -3808917/1012 - -41410/11. Find the common denominator of -23/26 and g. 1196 Calculate the common denominator of (-14)/(-6) - 35112/(-2016) and 7/30*(-117)/6. 20 Let r = -3 + 13. Calculate the least common multiple of 3 and ((-5)/r + 1)/((-2)/(-12)). 3 What is the lowest common multiple of ((-18)/7)/((-38)/2394) and 8? 648 Suppose -4*v + 12 = -0*v. Calculate the smallest common multiple of v*((-4)/(-3))/1 and 12 + 1*(0 + 4). 16 Let v be ((-960029)/(-160006) - 6)*585908/(-18). Let g = 2/9351 + v. Find the common denominator of 91/24 and g. 264 Let s = -319 - -693. What is the least common multiple of 18 and s? 3366 Let l = 731/110 - 41/10. Find the common denominator of (23/36)/(12/(-48)) and l. 99 Let g(o) = -5*o**2 - 7. Let r be g(3). Calculate the lowest common multiple of (-299)/r - 2/(-8) and 8. 24 Find the common denominator of (-1*(21 - 16))/(36/(-38)) and 111/72 + (1 - 0). 72 Let z = -33 - -33. Let r = z + 15. Suppose 3*s - r = 3*i, 2*s - 17 = -i - 4*i. What is the least common multiple of s and 2? 6 Let s be (-6)/(-30)*(0 + 5). Calculate the smallest common multiple of ((-5)/(-10))/(s/4) and 14. 14 Let i be ((-2528)/36)/(-1) - (-2)/(-9). What is the common denominator of -13/11 and i/(-12) + 6 - (-2)/(-21)? 154 Let o = 2 - 17. Let h = -6 - o. Suppose -5*d + 25 = -2*k, k + 13 + 1 = 3*d. Calculate the smallest common multiple of d and h. 9 What is the common denominator of (3 - 807/(-90)) + (-1)/(-5) and -41/7? 42 Suppose 5*u = -4*p + 30, -u + p = 3*u - 24. Let m = 0 + 7. Calculate the smallest common multiple of u and m. 42 Let m be (18/21)/(29/(-7)). Let z = m - -797/348. Let c = 1/655 - 1981/10480. Calculate the common denominator of c and z. 48 What is the common denominator of (-523)/8*8/174 - -3 and -83/10? 870 Let k(u) = u + 17. Let l(m) = -m**2 + m + 2. Let s be l(4). Suppose 0*f - 35 = -5*f. Calculate the smallest common multiple of k(s) and f. 7 Let r(h) = h**2 + 2*h - 4. Let q be r(-4). Let i be (q/3262)/(2/(-16)). Let b = i - 118807/26096. Find the common denominator of -1/20 and b. 80 Let c = 9 - 7. Suppose -4*f + 2 = -2*f - c*l, 0 = -4*f + 3*l + 2. Let q = 6 + f. Calculate the lowest common multiple of q and 11. 55 Let a = 883/36 + -61/9. Find the common denominator of a and -103/10. 20 Let u(d) = d**3 + 2*d**2 - 1. Let k be u(-2). Let w be ((-8)/(-20))/(k/(-15)). Calculate the common denominator of -55/6 and w/18 + (-47)/(-30). 30 Let k = -50 - -94. Let w = -26 + k. Suppose 324*i - 1959 = -1023 + 4896. What is the lowest common multiple of w and i? 18 Let s be (10/(-7))/((-5)/70*2). Calculate the lowest common multiple of ((-6)/s)/(11/(-330)) and ((-3)/1)/((-1)/4). 36 Let m = 9 + 1. What is the least common multiple of 35 and m? 70 Let l(i) = -i**2 - 7*i + 36. Calculate the least common multiple of 48 and l(-10). 48 Let j = -17562/17 + 645373/612. Let c = j - 140/9. Find the common denominator of c and -40/11. 132 Let t(q) = q - 5*q - 5 + 3*q**3 + 0*q + 3*q**2. Let m be t(-5). What is the common denominator of (2/(-36))/((-3)/m) and -89/18? 18 Suppose 3*v + 0*v - 33 = -3*j, -3*j + 3 = -2*v. Let o = -1 + v. Find the common denominator of -64/9 and o/15 + 482/48. 72 Let f be 180/(-22) - ((-8)/22)/2. Calculate the common denominator of 2/f*-2 + 316/(-104) and 20/7. 91 Let s(k) = -28*k. Suppose p = 5 - 2. Let y be s(p). Find the common denominator of -16 and 4/(-6) + 460/y. 7 Suppose 0 = -15*k - 62 + 242. Suppose 0*x - x - z = 2, -10 = 3*x + 4*z. What is the lowest common multiple of k and x? 12 Let u = 7671271 - 3659199406/477. Let m = -19/53 - u. Calculate the common denominator of m and 8*4*2/10. 45 Let j be ((-2)/46)/(58/17506981). Let y = 13122 + j. Find the common denominator of y and 69/8. 184 Let g = -111313/15624 - 1/1953. What is the common denominator of 1*(-38)/16*2 and g? 8 Let l = 2877857497/402 + -7158835. Let r be (189/2835)/(134/10). Let j = l + r. Calculate the common denominator of j and 91/8. 8 What is the lowest common multiple of 15 and (11 - 0) + -5 + 39? 45 Let d = -3302 - -26453/8. Let b = 1449 - 5859/4. Find the common denominator of b and d. 8 Let d = 742 - 20027/27. Let s be 50/(-32)*(1 - (-100)/(-108)). Let l = d - s. Find the common denominator of -13/14 and l. 56 Calculate the common denominator of -11 + 511/72 - 4/(-2) and 64/99. 792 Let t(u) = -u**3 - 5*u**2 + 5*u - 2. Let w = 4 + 0. Calculate the lowest common multiple of w and t(-6). 4 Let g(p) be the first derivative of p**4/4 + 14*p**3/3 + 5*p**2 - 30*p - 43. Calculate the smallest common multiple of g(-13) and 21. 63 Let n = -400 - -403. Calculate the least common multiple of 51 and n. 51 Find the common denominator of 1/11 and (-2 + -1)*159/45. 55 Let f be (-940)/(-644) - (-4)/(-14). Let d be -3*1 - 8470/(-759). Let y = f + d. What is the common denominator of y and -31/10? 30 Find the common denominator of 5/(5/5) + (-211)/24 and 61/60. 120 Let w(k) = 19*k + 47. Calculate the least common multiple of w(-1) and 20. 140 Let r = 1055/9 - 2815/72. Let v = 81 - r. Find the common denominator of (3/(-21))/(11 - 16413/1491) and v. 8 Suppose -y - 2*l - 2 = 0, 2*y + 3*l + 3 + 3 = 0. Let b be y/(-12) - (-115)/2. Suppose -5*u = b + 7. Calculate the common denominator of u and -17/9. 9 Suppose -5*d - 26 = 19. Let a = 51249/8 + -6397. What is the common denominator of -2 - d - 4 - 26 and a? 8 Find the common denominator of 1/5 + (-126)/20 and (55 + -7 + 15)/8. 40 Let j = 306 - 178. What is the lowest common multiple of 8 and j? 128 Suppose -2*s + 1 = -v, -3*v = s + 2 + 1. Let y = -12224 - -244543/20. What is the common denominator of y and 1 + (-142)/(-24) - s? 60 Let c = 42595/5946 + 3/991. Find the common denominator of c and -67/578. 1734 Let o = 8422 + -1852821/220. Find the common denominator of -31/10 and o. 220 Let a be -2 - ((-3 - 0) + 16713). Let l be (-6)/9 - a/(-42). Let t = l + 44493/112. Calculate the common denominator of 65/14 and t. 112 Let t(v) = 8*v - 37. Calculate the least common multiple of t(5) and 3. 3 Let d = 7 - -33. Suppose 0 = 5*p - 0*p - d. Calculate the least common multiple of p and 6. 24 Let l = 13845/43582 - -1/1981. Let o = 12718 - 254257/20. Calculate the common denominator of o and l. 220 Let r = 4 + -1. Let v(x) = r*x - 5*x + x**2 + 6 - 6*x. Find the common denominator of -17 and v(9). 1 Let d = 7064273/96 + -73587. What is the common denominator of -19/48 and d? 96 Find the common denominator of (1 + (-1760)/170)*1/(-6) and 51/20. 340 Suppose -2*h - 2*b = 3*b + 19, 0 = -2*b - 10. Suppose -3*n + 60 = h*w, -2 = -4*w + 14. What is the smallest common multiple of n and 18? 144 Suppose 3*j = -j + 48. Calculate the lowest common multiple of j and (168/63)/(2/(4 - (-2 + 3))). 12 Let o = 428 - 1
{ "pile_set_name": "DM Mathematics" }
2 + 68*r - 16. Is z(13) prime? False Let l = 23 + -21. Suppose -l*u - 4*i + 355 = -u, -4*u + 1477 = -3*i. Is u prime? True Let l = -163 + 387. Suppose 3*c = -c + l. Is (c/2)/(12/6) composite? True Let x(g) be the first derivative of g**4/4 - g**2/2 - 26*g + 1. Let c be x(0). Let z = 145 + c. Is z prime? False Suppose 0*d + 843 = d. Let t be 2/(-8) - d/(-12). Suppose -z + 39 + t = 0. Is z prime? True Is (-16 + 9 - -8) + (-2998)/(-1) a composite number? False Let g be (0 + 3)/(-1 + (-21)/(-12)). Suppose -4197 = g*f - 7*f. Is f prime? True Let x(d) = -141*d - 44. Let h(u) = u**2 - 10*u + 18. Let w be h(4). Is x(w) a composite number? True Let b be ((-1)/2)/(3/(-6)). Let v be 34/4 - b/(-2). Is (2/(-10))/(v/(-4005)) prime? True Let l(q) = 218*q**3 - 5*q**2 + 4*q - 6. Let s be l(3). Is (-5 - -7)/(6/s) a prime number? True Suppose j = -4*j + 1485. Let k(x) = x**3 + 13*x**2 + 11*x - 9. Let a be k(-12). Suppose 0 = a*w - 474 - j. Is w a composite number? False Let x = 3625 + 1708. Is x composite? False Is 2 - (-253077)/39 - (-8)/(-52) prime? True Let i(x) = 7*x**2 + 3*x + 2. Let n be i(-3). Suppose 3*d - 7 - n = 0. Is 7/d*(793 + 2) a prime number? False Suppose -245 + 53 = -4*m. Let f be (m/(-10))/(40/(-100)). Suppose 9*o = f*o - 147. Is o a prime number? False Let m = 6 - 1. Suppose 6*y - m*q = 2*y + 2759, -3*y = -5*q - 2068. Is y composite? False Let o(g) = 4*g + 3. Let v be o(-2). Let c be (8/(-14))/(v/35). Suppose 5*z - 2*b - 321 = -b, 2*z = -c*b + 146. Is z a prime number? False Let h = 6781 - 3158. Is h a composite number? False Suppose -5*h = -2*f + f + 459, 2*f - 940 = -h. Is f a composite number? True Let w = -6 - 0. Let y be 6/4*(-8)/w. Suppose y*n - 35 = n. Is n prime? False Let i = 407 - -151. Let w = i + -263. Is w a prime number? False Let k = 282 + -160. Suppose q - 55 = k. Is q composite? True Let p(z) = -z**3 - 14*z**2 - 14*z - 8. Let i be p(-13). Suppose -1438 = i*b - 7*b. Is b a composite number? False Let o(m) = -m - 1. Suppose 4*p = p - 12. Let q be o(p). Suppose q*w = -2*w + 155. Is w a composite number? False Suppose -9*r + 4710 = -6*r. Suppose -10*b - r + 18140 = 0. Is b a composite number? False Let b(n) = -3*n - 6. Let z be b(-3). Suppose 2*d + 5*a - 51 = 0, -z*a = -d - 0*a + 53. Let l = 45 + d. Is l composite? False Suppose -a - 3*t = -799, -2*a = 3*t - 41 - 1560. Suppose 3 + 13 = 4*v. Suppose 6*y - a = -2*d + 3*y, 5*d = -v*y + 1991. Is d composite? True Let n(m) = -27*m**2 - 7*m + 3. Let f(y) = -13*y**2 - 3*y + 1. Let i(w) = -5*f(w) + 2*n(w). Is i(2) a composite number? False Let j(t) = 416*t - 7. Is j(4) a composite number? False Suppose -13*p + 21040 = -24226. Is p composite? True Let k(u) = 187*u**3 - 10*u**2 - 13*u + 9. Is k(7) composite? True Suppose -10*w = -w + 33768. Let v = w + 7243. Is v a prime number? True Suppose -2*p + 7*p + 4*z + 6 = 0, -3*z = 2*p + 8. Suppose -4*t + o + 429 = 0, p*t - 3*o - 130 - 77 = 0. Suppose -5*l + 1157 = -t. Is l a prime number? False Let v(f) = -3*f**3 + 13 + 12*f - 13*f**2 + 11*f**2 + 6*f**2. Is v(-4) composite? True Let x = -5 + 14. Is 12/x*435/10 a prime number? False Let x(w) be the third derivative of 1/6*w**3 - 95/12*w**4 + 0 + 0*w + 4*w**2. Is x(-1) a composite number? False Let n be ((-24)/(-20))/(6/(-45)). Is (-7714 + 1)*3/n composite? True Let d(a) = 2*a + 166. Let j = 7 + -3. Let r be ((0/3)/j)/(-1). Is d(r) a prime number? False Let q = -1 - 23. Let n = q + 57. Is n composite? True Let z(q) = -q**2 - 5*q - 1. Let n be z(-4). Suppose -2*s = -3*d + 41, -s + 1 = -n*s - 5*d. Let v(y) = -11*y + 18. Is v(s) prime? False Suppose 0 = -19*t + 17*t + 3418. Is t composite? False Suppose 8 = -0*x + x. Let k be x/(-10) + 5238/(-15). Let q = 544 + k. Is q a composite number? True Suppose 0 = 3*l - u - 36 - 40, 0 = -5*l + 4*u + 115. Let i(z) = -z**2 + 28*z + 26. Is i(l) prime? True Suppose -6*o = -o - 15. Let a be -46*(o - 17/2). Suppose -5*n + a + 702 = 0. Is n prime? True Suppose 1 - 5 = -2*t. Suppose -5*l = -t*l. Suppose -68 = -l*a - 2*a. Is a composite? True Suppose 3*i - 6*i = -9. Let h(t) = -7*t + 0 + t**2 + 0 - 7*t**2 - 4 - t**i. Is h(-5) a prime number? False Let p = 108 - -95. Is p prime? False Suppose -63 = -5*y + 532. Let l = y + 86. Suppose h - 3*t + t - l = 0, 5*h - 1010 = -5*t. Is h a prime number? False Let d be 1/(-5) + 159/(-5). Let i(a) = -a**2 + 4*a - 1. Let o be i(-5). Let u = d - o. Is u composite? True Let t = 620 - 302. Suppose 0 = -b + 4*b - t. Is b prime? False Let w(i) = i**2 + 3*i + 7. Let o(y) = -3*y**2 - 7*y - 14. Let x(f) = -2*o(f) - 5*w(f). Suppose -c + 30 = -5*z, -2 = z + c + 4. Is x(z) prime? False Suppose 0 = -163*w + 166*w + 2*d - 93329, -4*d + 93331 = 3*w. Is w a composite number? True Let r(k) = -k**3 + 15*k**2 + 17*k - 16. Let m be r(16). Let i(v) = v**2 - 4*v + 1. Let h be i(5). Suppose m = -h*n + n + 745. Is n composite? False Let p be (-10)/(-20) - (-3)/2. Is p + (397 - 8/2) composite? True Suppose 3*h - h = 3094. Let s = h + -192. Suppose -4*o + s = o. Is o a composite number? False Let v(h) = 604*h - 207. Is v(5) a composite number? True Let x = 14 - 10. Suppose -4*j + 3*i + 8609 = 0, j + 2*j - x*i = 6455. Is j a composite number? False Let u(h) = -7*h + 1. Let i be (-21)/(-15) - 4/10. Let a be u(i). Let b(r) = 5*r**2 + 7*r - 7. Is b(a) a composite number? False Let h(t) = 18 + 7 + 4*t**2 - 12. Is h(6) a prime number? True Let q(v) = 2*v - 8*v - 9 - v. Let c(m) = -4*m - 5. Let t(g) = -5*c(g) + 3*q(g). Is t(-6) prime? False Let z(a) = 3*a**3 - 6*a**2 - 3. Let p be z(-6). Is (p - -5)*(-4)/8 a composite number? False Let l(c) be the first derivative of -c**4/4 + 14*c**3/3 + 9*c**2 - 11*c - 1. Suppose -91 - 74 = -11*f. Is l(f) prime? False Suppose -2*r + 3*n - 8 = 0, 2*r + 14 = -r + 5*n. Let x(v) = 125*v + 1. Is x(r) prime? True Is (((-6)/8)/3)/((-235)/46491460) prime? True Let u be ((-96)/(-6) - 14) + 1*3. Let q(k) = -k**3 + 6*k + 6*k**2 - 4 + 4. Is q(u) a composite number? True Suppose -1142 - 3400 = -6*i. Suppose -5*u = -20, 8 = -w + 3*u - 0. Suppose -2*t = -2*h + 502, 3*h + 3*t - i = w*t. Is h prime? False Let i = 4 - 2. Suppose n = i*f - 2, 2*n = -5*f - 0*n + 23. Suppose 0 = -2*d + f*d - 74. Is d prime? False Suppose 0 = 6*m - m. Suppose m = -3*o - 2*o. Suppose y + d = -o*d + 175, y = 4*d + 195. Is y composite? False Let x be 2/(-3) - 196/21. Let g be 4/6*(-75)/x. Suppose 276 = z - 5*r, 0*z + g*r + 1179 = 4*z. Is z a prime number? False Let q = -119 - -6472. Is q composite? False Suppose 0 = 3*z + 2*z. Suppose x + 0*x - 266 = z. Let a = x - 111. Is a composite? True Let c = -1508 + -3225. Let x = -3331 - c. Is x prime? False Suppose -18*f + 15*f = 0. Suppose -3*a - 394 = -5*a. Suppose f = 2*p - a - 437. Is p composite? False Let t = -35427 + 72166. Is t prime? True Suppose 2*h - 51 = 2*f - 3*h, -f - 2*h = 3. Let r(o) = -57*o + 28. Is r(f) prime? True Suppose 0 = 21*z + 383 - 21026. Is z prime? True Is ((-23)/(-7) - 3) + 378144/84 a prime number? False Suppose 191 + 264 = -5*l. Is (-2 - 0)*l/14 prime? True Let p = -749 + 2616. Is p a composite number? False Let g(u) = -u**3 + 19*u**2 - 20*u + 40. Let x be g(18). Suppose -x*s + 1409 = f, -5*s + 2*s = 2*f - 2828. Is f composite? True Suppose -h + 3 = -0. Suppose -2*d - h*i + 2247 = 0, 1120 = d - 0*i - 2*i. Suppose -4*b + 690 = -4*n - d, -b - 3*n = -437. Is b a composite number? False Let x = 9795 - 6202. Is x a composite number? False Let t(i) = 1129*i**3 - i**2 - 2*i + 2. Let n be t(1). Suppose 1589 = 3*r + 2*g - n, -r = 2*g - 903. Is r a composite number? False Suppose 0 = -2*g + 3*o + o + 3038, 4*g + 4*o - 6028 = 0. Is g prime? True Is 34/51*((-3338)/(-2) + 2) composite? True Let w(l) = 13562*l + 19. Is w(2) a composite number? False Let o(w) = w**3 - 13*w**2 - 39*w - 13. Let d be (-2)/(-11) + (-696)/(-44). Is o(d) a prime number? True Suppose 32*s + 3792 = 29*s. Let w = -701 - s. Is w composite? False Let p(c) = c + 3. Let n be p(7). Let s(v) be the first derivative of -v**4/4 + 10*v**3/3 + 13*v**2/2 + 11*v - 2. Is s(n) composite? True Let h(x) = 33*x - 63. Let t be h(8). Let z(k) = k**2 - 5*k + 5. Let o be z(5). Suppose m + o*f - 7 = t, 5*f + 15 = 0. Is m composite? False Suppose 4*r + 5*b + 6685 = 27907, -r + b = -5301. Is r a composite number? False Let o(r) be the third derivative of -r
{ "pile_set_name": "DM Mathematics" }
Let r = -77 + 87. Are r and -2 equal? False Suppose -5*u - 106 = h - 335, -3*h + 147 = 3*u. Let y be -2*(u/21 - 2). Is 2 bigger than y? True Let t = -4.3 - 3.4. Let o = -0.3 - -8.3. Let l = t + o. Is l > 1? False Let h(q) = -2*q - 32. Let g be h(-17). Is g less than or equal to 6/11? False Let r be ((-1)/(-2))/((-4)/(-2)). Let o(q) = q**3 - 5*q**2 + 4*q + 1. Let v be o(3). Let p = v + 5. Which is bigger: p or r? r Let l be (-12)/(-10)*(-80)/32. Which is smaller: l or -0.4? l Let u = 0.07 - 0.03. Let c = 6.96 + u. Let j = c - 9. Which is smaller: j or 2/3? j Let n(z) = -4*z**2 - 13*z. Let m be n(-3). Which is smaller: 48/13 or m? m Let r be (-2)/(-3)*6/(-1). Let x be r/24*20/(-3). Which is bigger: 2 or x? 2 Let f = 23/6 + -4/3. Is f != 2? True Let p be (-4)/(-22) + 2/(-11). Let s = p - 1. Which is bigger: 1 or s? 1 Let c = 12 + -12.02. Let t = c + -2.98. Let w be (-10)/24 - (-2)/(-8). Do w and t have the same value? False Let a = -26/3 + 9. Let r = -13 - -15. Is a less than or equal to r? True Suppose -k - 32 = 5*l, 3*l + k + 28 = -4*k. Is -8 less than l? True Let o be 5/(1 + 4) - 76/70. Which is smaller: -1 or o? -1 Suppose 2*f - 8 = -2*f. Suppose 0*o - 3*o + f*t - 7 = 0, 3*o + 23 = -2*t. Let x be (-22)/(-30) + 2/o. Is x smaller than -1? False Let i = 181 + -186. Are -5 and i equal? True Let z be (-1 - 0) + 12/9. Let l be (-2)/11 + 16/(-154). Which is bigger: l or z? z Suppose 4*o = 20 - 0, o = 5*q + 10. Which is smaller: q or 2/27? q Let n = 0 + 2. Suppose -15 = 5*o + 2*r, -n*o = 3*r + 2 + 4. Is -3 >= o? True Let x(s) = s + 8. Let i be x(-7). Let c be (-20)/(-6)*(-2)/(-12). Let y = 73/99 - c. Is y at least i? False Let w = -258/35 + 46/7. Do -1 and w have the same value? False Let f = -12/5 + 16/5. Which is smaller: f or -1/3? -1/3 Let j(y) = -6*y - 16*y - 7*y - 4*y - 2. Let f be j(-2). Let m = 190/3 - f. Do m and 2/5 have different values? True Let v = -9 - -14.3. Let h = v + -6. Is h smaller than -1/4? True Suppose -g + 3*g = -8. Is -6 != g? True Let j = 47/15 - 14/5. Is 0 >= j? False Let n(m) = -m**2 + 5*m + 8. Let g be n(6). Suppose z - g*z = -1. Let d = -74/7 + 76/7. Which is smaller: z or d? d Suppose 5*d - 6*d - 8 = 0. Let f(g) = g**2 + 7*g - 7. Let s be f(d). Which is smaller: s or -1/3? -1/3 Let b = -361 + 3959/11. Let u = b - -91/33. Do 2 and u have different values? True Let l = -40 - -39.8. Are -6 and l unequal? True Suppose 2*i + 3*i - 3*c + 3 = 0, -5*i + 5*c = 5. Which is smaller: 3/23 or i? i Suppose 30 = 3*g + 3*g. Is g smaller than 4? False Let v be (1/(-13))/(2 + 0 + -1). Which is greater: -4 or v? v Let n = 54 + -59.1. Let g = -10.3 - n. Let y = 5 + g. Which is smaller: -1/4 or y? -1/4 Suppose 0 = y + 4 - 15. Is 15 smaller than y? False Let h = 16 - 9. Suppose h = -4*p - 1. Let q be p + (-1)/4*-15. Are 1 and q nonequal? True Let d = 67 + -265/4. Let n = -2.03 - -2. Let a = n + -0.07. Which is smaller: d or a? a Let y = 12 - 13. Which is smaller: -4/11 or y? y Suppose 0 = -3*g + 3. Let j = 381195/91 - 4189. Let n = j + 46/455. Is n equal to g? False Suppose 11*l - 7*l = -4. Let s = 141581/31710 - 7/906. Let w = s - 34/7. Which is smaller: w or l? l Let k = 1 + -1. Suppose k*o + 6 = 3*o. Suppose -2*d = -o - 2. Which is greater: d or 1? d Let q = 0.05 - 11.05. Let y = q - -8. Let o = 0.2 - 1.2. Is y < o? True Let t be 1*(-1 - (11 - -3)). Let u be (12/t)/(-7 - -5). Which is smaller: 1 or u? u Let t = 43555/61 - 714. Let a = t + -307/122. Is -2 at most as big as a? False Let q(g) = g. Let y be q(-2). Let b be 4/4 + (1 - y). Let u = 7 + -3. Is b at least as big as u? True Let b = 6 - 6. Suppose b = 3*l + l - 32. Let i be (12/(-165))/(l/(-20)). Is i bigger than 1? False Let i = -0.14 - 0.03. Let m = 0.83 - i. Is m greater than -2? True Let r = -42 - -167/4. Is -1 equal to r? False Let t = -5 - -4.2. Let m = t + 0.7. Which is smaller: m or 6? m Let u be 19*1/(-16) + 1. Which is smaller: u or 1? u Let t = 125608/79 - 1590. Is t > 1? False Suppose -p + 2*p = -5. Let w be (-3)/p + (-24)/(-10). Which is smaller: -1 or w? -1 Let q = -0.91 - -1.91. Is -0.047 > q? False Let u be -1 + 2 + 2 + 0. Let m = -3 + u. Let k be (-2)/(-3) + (-39)/72. Is k at most as big as m? False Let o = 7058/33 + -214. Is -1 bigger than o? False Suppose -b = b - 6. Let c be -1*(0 - 0/1). Suppose -4*d = -5*l - 37, -l = -c*l + 5. Is d > b? False Let j be 2/(-11) - (-230)/55. Let h(p) = -p**2 - p + 9. Let w be h(j). Which is smaller: w or -10? w Let t be (0 + -2)*(-28)/(-8). Let w(a) = a**3 - 3*a**2 - 2*a - 1. Let u(d) = -d**2 + 7*d + 3. Let s be u(7). Let f be w(s). Is t at most as big as f? True Let l(v) = v**3 + 5*v**2 - 7*v - 2. Let k be l(-6). Suppose 5*b - 9 = k*b. Do 10 and b have the same value? False Let q = -0.9 + 1. Let k = 0.1 + q. Let n = 0 + k. Which is bigger: -1/4 or n? n Let u = -4 + 3. Let y(j) = -5*j**2. Let i be y(u). Is -7 < i? True Let p = 24 + -17. Let n = p + -13. Which is greater: -2 or n? -2 Let s = 2 - 1. Let v = 63 + -249/4. Is v > s? False Suppose 3*d - f - 6 = 0, 5*d - 10 = -0*f - 3*f. Let y(z) = -z**3 + 2*z**2 + 3*z + 2. Let o = -2 - -5. Let i be y(o). Does i = d? True Let p = -5 - -7. Suppose -y = -3*y. Suppose -2*g + 4 = -y. Are p and g nonequal? False Let t(f) = -f + 45. Let w be t(27). Is 3 equal to w? False Let k(t) = 3*t**2 + 2*t - 1. Let r be k(-3). Let d be (-2)/(-4) + (-185)/(-10). Which is smaller: r or d? d Let w = -2 + 3. Does 1 = w? True Suppose m + 1 = -0. Let d(g) = g**2 - 2*g + 1. Let b(f) = f**2 - 2*f. Let i(y) = -3*b(y) + 2*d(y). Let n be i(3). Is n smaller than m? False Suppose 0 = -2*t + t - 8. Which is greater: -1 or t? -1 Suppose 0 = g + 2*g - 3. Is g bigger than 0? True Let h = 34.9 + -35. Is -3/11 bigger than h? False Let x = -8 - -9. Suppose -3*j + n = -n + 19, 2*j + n + 1 = 0. Which is smaller: x or j? j Suppose 4*l - 5 = 19. Which is bigger: l or 7? 7 Let q be (-25)/(-27) - (-13)/(-13). Let s be 4/(-14) + 2/7. Which is smaller: q or s? q Let c = 3798/13 - 292. Suppose 0 = 5*a - 8 + 3. Which is bigger: c or a? a Let j be 3/(-2)*(-3 + -3). Is 9 bigger than j? False Suppose 11 = -2*n + 3*p - 2*p, 5*p + 35 = -5*n. Is -2 at most as big as n? False Suppose 3*f = f + 10. Suppose -2*q = -f*b - 3*q - 17, -q = -5*b - 13. Are b and -4 equal? False Let j = 96 - 100. Let u(h) = -h**2 - 4*h - 5. Suppose z + 6 = 2. Let r be u(z). Which is smaller: j or r? r Let y = 16 - 6. Let b be ((-1)/(-3))/(y/(-15)). Let x be 5/(-3) - 4/(-6). Is x at least b? False Suppose -2*t - 3 = -5. Let p be 47/(-15) + (6 - 3). Which is smaller: p or t? p Let b = -46739659/516 - -90581. Let i = b + -2/129. Let h = -1 + 0. Is h at least i? False Let m = -1.6 + -0.4. Let u = 27.8 - 28. Is u less than or equal to m? False Let g = 120 - 1822/15. Let r = 76/45 + g. Do r and -0.1 have the same value? False Let w(y) = -2*y - 9. Let n be w(-7). Let f(k) = k**3 - 4*k**2 - 4*k - 7. Let s be f(n). Which is greater: s or -3? s Let c(v) = -v**2 - 26*v - 135. Let g be c(-8). Suppose 3*j = z + 27, 2*j - 35 = 2*z - 7*z. Is g >= j? False Let m be 10/(-6) + 2/(-6). Let f = 3 - m. Suppose 20 = -4*q - f*o, 4*q = 3*q + 2*o + 8. Which is bigger: -1/6 or q? q Let l = 0.79 + -1.79. Which is greater: l or -19? l Let r(n) = 3*n + 1. Let a be r(-1). Which is smaller: -3 or a? -3 Let i be 1/2 - 2/4. Let s be 6/21 + 3/(-84). Which is smaller: s or i? i Let j be (0/9)/(3*-1). Which is smaller: 2/21 or j? j Let d(x) be the second derivative of x**3/6 + x**2/2 + x. Let p be d(-4). Is p > -1? False Let i = -0.2 - 0.8. Let x = -0.45 + 4.25. Let a = x - 4. Is i less than a? True Let v = 17 + -1. Let c = 15.9 - v. Let h = 68 - 342/5. Do c and h have different values? True Let m be 3/(3/22) - 3. Which is smaller: m or 21? m Let d(g) = -2*g + 8. Let o be d(6). Let l = 5 - 10. Which is greater: o or l? o Suppose 2*g = -11*g + 39. Let z be ((-8)/10)/(1266/(-45)). Let o = z + 1658/1055. Which is bigger: o or g? g Let p = -802/551 + 27/19. Is 0 less than p? False Let c = -0.8 - -0.4. Let u = c + -0.1. Let b = -0.3 - u. Is b less than 0.1? False Let c = 0.969 + 0.031. Which is bigger: -35 or c? c Let n = 17/26 + 1/78. Let q = 12 - 11. Is n greater than q? False Let a = -32 - -28. Which is greater: -3 or a? -3 Let z(u) = u**2 - 3*u + 4. Let m be z(4). Suppose 0 = 4*n - 6*n - m. Let x
{ "pile_set_name": "DM Mathematics" }
)/j)*j))/(j**12*j**13))**(-5/2))**(2/57) assuming j is positive. j**(4075/1083) Simplify ((u/u**(7/4)*u)/u**4)/(u*u**0)**48*u**(-1)/(u*u**1)*(u**(-6/5)*u*u)/(u/(u*u**(1/2))*u) assuming u is positive. u**(-1089/20) Simplify (k*(k*k**(7/5))/k*k**(1/5))/(k**(-2))**(-9/8)*k**(3/2)*k*k**(-4)*k*k**8/(k**(2/5)/k) assuming k is positive. k**(169/20) Simplify (((v*v**(-1/27))/(v/(v**(4/5)/v)))/((v/(v*(v/v**(-7)*v*v)/v))/(v**(-21/2)/v)))**(-12) assuming v is positive. v**(1478/45) Simplify (s/s**(-1/5)*s**4*s**(-3/11)/(s*s**(-3/5)/s))/(s**(1/3)*s/s**7*s*(s*s/((s**(7/4)/s)/s))/s**(-2)) assuming s is positive. s**(3923/660) Simplify ((n**0)**(6/7))**(-1/63)/(n**4/n**1)**(3/25) assuming n is positive. n**(-9/25) Simplify (s**(6/7)*s**(2/7))**(-15/4)/((s/(s*s**(-1)))**(-43)/((s/(((s*s**(-3/2)*s*s)/s)/s))/s**(4/9))) assuming s is positive. s**(5011/126) Simplify ((g**(1/16)/g)/(g/((g/g**(2/75))/g)))/(g**(-4/25))**(20/11) assuming g is positive. g**(-22087/13200) Simplify (j/j**(2/5))**(5/7)/((j**(-5)/j)/j*j**3)*(j**(1/2)*j)**(-27/5)*j*j**(4/5)/j*j/(j*j/j**(1/9)*j) assuming j is positive. j**(-2999/630) Simplify (d*d**5*d*d*d*d)/d*d**(-1/5)*(d**(-1))**(-25)*((d**(-1/2)*d)/d*d**(1/3)*d)**(7/6) assuming d is positive. d**(6259/180) Simplify (((r*r*r**(-15/8)*r)/r*r/(r*r**26))/(((r/r**(-3/2)*r)/r)/(r**(6/11)*r)))**12 assuming r is positive. r**(-7083/22) Simplify (((k/k**(2/15)*(k/(k**(-3)*k))/k)/((k*k/k**(1/6))/k**(-2)))**(-1/8))**(-11/3) assuming k is positive. k**(-319/720) Simplify ((((l*l**26*l)/l)/((l*l/(l*l*l*l**(2/29)))/l))/((l/(l/l**(-1/20)))/(l*l*l/(l**(-5)/l)*l*l)))**(-2/71) assuming l is positive. l**(-23269/20590) Simplify (y**(-33)*y*y**(21/4)/y)/((y**21*y)/y**(-3/47)) assuming y is positive. y**(-9365/188) Simplify (u**(-1/4))**(-17)*u*u/(u**(3/4)*u)*u*u**(-1/6)*((u/(u/((u*u**(-1/6))/u)))/(u**(-1/3)/u))/((u**(-3/5)*u)/u**(2/5)) assuming u is positive. u**(13/2) Simplify (l/(l/(l/(l*l**(-22))))*l*l*l**(-37))/(l**(-1/3)/l)**(-33) assuming l is positive. l**(-57) Simplify (((a**(2/3)*a*a)/a*a**(2/3))/(a**(3/7)*a*a/a**1))/((a**(2/3))**1/(a**(1/5)*(a/a**0)/a)) assuming a is positive. a**(46/105) Simplify ((u**4/((u/u**(1/11))/u)*(u*((u**2*u)/u*u)/u)**(-20))**(14/11))**26 assuming u is positive. u**(-223860/121) Simplify ((h/h**1*h)/h)**33/(h**(-1))**(3/13)*h*h/(h*h/h**(-4))*h*h**4*h*(h*h**(2/7)*h*h)/h*h*(h**1/h)/h*h assuming h is positive. h**(502/91) Simplify ((s**(-1/7)/(s/s**(-11)))/(s/(s**0/s)*s)**(1/38))**28 assuming s is positive. s**(-6502/19) Simplify (b**(-5/2)*b**(2/9))/(b**5*b**4)*(b*b**6/b*b*b*b**1)**(-4/7) assuming b is positive. b**(-2069/126) Simplify (w**(-1)*w**(2/13))/(w**(-2/9)*(w/(w**(-1)/w))/w)*((w*w**(2/5))**(-42))**(1/5) assuming w is positive. w**(-42073/2925) Simplify w**2*w/w**(-3/5)*w/((w*w**(-4/9))/w*w)*((w**(1/5)/w)/w)/w*(w**6*w**(-2/5))/(w/w**(-2/7))**(29/4) assuming w is positive. w**(-3121/1260) Simplify (g**(7/2)/(g**(-2/9)*g)*(g*g/(g*g*g**(-2/3)*g*g))**(-5/3))/(((g*g*g**(2/3))/g)**(-4/15))**(-6) assuming g is positive. g**(41/18) Simplify ((z/(z/(z*z**0)*z*z)*z)**41/((z*z/z**(3/7)*z)/z*z*z**(-5)))**(-32) assuming z is positive. z**(-544/7) Simplify ((z**(1/15)/z**17)/(z/(z**(4/3)*z)*z*z**(-16)))**3 assuming z is positive. z**(-9/5) Simplify (x**6/(x*x**(-9)))**(-17)/((((x/(x*x**(3/7)*x))/x*x)/x)/(x/(x**(-5/4)*x*x)))**37 assuming x is positive. x**(-3889/28) Simplify ((z/z**(2/9)*z**(3/5)/z)/((z**(-4)*z)/(z**(1/4)*z)))/((z/z**(-3/8))/z*z/z**(-4)*(z**(-1/3)*z)/z*z**6) assuming z is positive. z**(-2309/360) Simplify (x/(x**0*x))**(-3/13)/(x**7*x**(4/7))*((x*(x**(2/5)*x)/x*x)/x)**(-49)*(x**(1/2))**(2/21) assuming x is positive. x**(-7993/105) Simplify r**(-2/23)*r*r**27*(r/(((r**36*r)/r)/r)*r*r)/(r/(r/(r*(r*(r*r**(-32))/r)/r*r))*r) assuming r is positive. r**(573/23) Simplify ((l/(l/(l*l**(3/14)/l)))**3/(((l*l*l**(-9/7)*l*l)/l)/(l/(l*l**(-5)/l))))**(-1/90) assuming l is positive. l**(-23/420) Simplify (((t**(-1)*t)**(12/13)*t/((((t*t*t/(t**(2/9)*t*t)*t)/t*t)/t)/t*t)*t**(-1))**(-25))**(-9) assuming t is positive. t**(-175) Simplify (((r/(r**(-4)*r))/r**5)/(r*(r*r/((r/(r**6*r)*r)/r)*r)/r*r*r*r/r**5))/((r**(-1))**(-3/44))**(3/2) assuming r is positive. r**(-713/88) Simplify ((f*f**(-1/7)*f)/f**(-3/8))/(f/(f*f**(-6)*f)*f**(-2/31)/f)*f*f*f**(-3/4)/f*f*f/f**2*f/f**(-3)*f**1 assuming f is positive. f**(6157/1736) Simplify (r/(((r*(r/((r**(3/5)/r)/r*r))/r)/r)/r*r)*r*r**2)**45*((r*r**(-5))/(r/(r*r*r*r**9/r*r)*r))/(r**(-4)/(r/r**(-5))) assuming r is positive. r**178 Simplify (u/u**21)/(((u*u*(u/(((u/((u/u**(2/29))/u))/u)/u*u))/u*u)/u)/u)*(u/(u*(u**13/u)/u))**(-3) assuming u is positive. u**(350/29) Simplify ((o**(1/15))**30/((o/o**(-1/5)*o)/((o/(o/o**(-1)))/o)))**6 assuming o is positive. o**(-66/5) Simplify (((z*z**(2/27))/z)**21/(((z*z/(z*z/(z/(((z*z/(z**18*z)*z)/z)/z)*z))*z)/z)/(z*z**(-20)*z)))**(2/17) assuming z is positive. z**(-656/153) Simplify (c/(c*(c**(1/2)*c)/c)*c*c)**(28/5)/((c**6*c)/c**(-2/7))*(c**(3/7)*c/(((c/(c*((c**(3/4)*c)/c)/c*c))/c)/c)*c)**22 assuming c is positive. c**(8053/70) Simplify (w**(-1/7)/(w/(((w/(w*((w*w**(3/13)*w)/w)/w))/w)/w)))**(-5/7)*(w**0/w)**(2/17)*(w*w**(-1/2)*w)**39 assuming w is positive. w**(1316635/21658) Simplify (((b/b**(-6/7))/b*b/(b**10/b))/((b/(b/(b*b**5)))/((b**(-5/7)/b*b)/b)))**(-1/9) assuming b is positive. b**(104/63) Simplify ((g/g**(-4/7)*((g*g/(g*g/g**11*g)*g)/g)/g)/(g**(-15))**(-25/2))**(-23) assuming g is positive. g**(56971/14) Simplify (((t*t**26*t)/t**(-29))**(-5))**45 assuming t is positive. t**(-12825) Simplify ((x*x/(x**(-16)*x)*x*(((x**(2/5)/x)/x)/x)/x)/((x**(1/33)*x*x)/(x/x**(9/4)*x)))**(-4) assuming x is positive. x**(-7999/165) Simplify ((l**(2/3))**(4/11)/(l**(1/3))**(-15))/((l**2)**(1/17)/(l**(1/3))**(-18)) assuming l is positive. l**(-491/561) Simplify (b**(-1/4)*b**(-1/4)*b**(4/7)/((b*b**8)/b*b))/(b**(-1/2)*b**10)**(-41/5) assuming b is positive. b**(2414/35) Simplify (w**3*w**(-1/4))**(-2/75)/((w**0/w)**(1/30))**(4/7) assuming w is positive. w**(-19/350) Simplify (y**(-3/7)*y/(y*y**(1/7))*y*y**(-2/3)*y**(1/3))/(((((y*y**(-2))/y*y)/y*y)/y**(-2))/((y*y*(y/(y/y**(2/3)))/y)/y)**(-2/5)) assuming y is positive. y**(-41/35) Simplify (((x**1*x)**(-2/3)*(x**(-1/2))**(17/2))**(-1))**(1/46) assuming x is positive. x**(67/552) Simplify (((d*d**(1/2))/d**(3/2))/(d**0*d)**(-1/48))/((d/(d*d**(-2)/d*d))/(d/d**(-2/11)))**(2/77) assuming d is positive. d**(-17/40656) Simplify (a*a**(6/17)*a*a/(a*(a/a**(-4/25))/a*a)*a**(-43)*a**(2/37))**(-4/27) assuming a is positive. a**(2626264/424575) Simplify q**1/q*q**(-5/6)*q*(q*(q**(-4)/q)/q)/q**0*(q**(1/2)/(q/((q*q*q**(-3)*q)/q)))**37 assuming q is positive. q**(-181/3) Simplify ((a*a/a**0)**(-3/5))**(2/5)/((a/a**(-1/7))/a**(-1/2))**(38/3) assuming a is positive. a**(-11177/525) Simplify (k**6*k/(k**(-4/3)/k*k)*k**(-2/3)/((k**(-1/8)*k)/k))/((k/k**(-2/3))**48*(k**(1/3)/k*k)/(((k**(-8)/k)/k)/k)) assuming k is positive. k**(-2005/24) Simplify (o**8*o**(1/54)*(o/((o*o**(4/15)/o*o)/o))/o**(-7/4))**9 assuming o is positive. o**(5671/60) Simplify (((m/m**(2/7))/m**(-1/3))/((m**(-2)/m)/m**(-4)))/((m/(m*m**(-1)*m*m))**(-31)/((m*(m**2*m)/m*m*m*m)/(m/m**2))) assuming m is positive. m**(-503/21) Simplify (d**(5/6)/(d*d*d**(2/9))*(d/(d/(d**(-4/7)/d*d))*d)/((d**(-3/16)/d)/d*d))**(-8/5) assuming d is positive. d**(-229/630) Simplify ((j**19/j)/j)/(j**(-2/35)*j)*(j**(-1/5)*j)**(1/25) assuming j is positive. j**(14078/875) Simplify (l**(-1/6)/l**(-8))**31/(((l/l**9)/((l*l/l**4)/l))/(l/l**(-2/11)*l)**(1/27)) assuming l is positive. l**(49087/198) Simplify (h**(-9)*h*h/(h**(3/28)/h)*h**21/((h*h**(3/13))/h*h))**(-4/25) assuming h is positive. h**(-4973/2275) Simplify ((((f*f**(4/5))/f**(3/2))/(f*f**(-2)*f)**46)**(1/28))**(-30/7) assuming f is positive. f**(-9/196) Simplify (((g/g**(-2/5))/(g/(g*(g/g**(-9))/g)))/(g**(2/9))**(11/4))/((g**(1/8)/g)/g*g**(2/21)*(g/g**(1/4)*g)/((g**(-1/11)*g)/g)) assuming g is positive. g**(269653/27720) Simplify (((d/((d**(-1/7)/d*d)/d))/d*d)**(-39/4)*(d/(d**(-2/23)/d))**(-1/4))**(-3/13) assuming d is positive. d**(41373/8372) Simplify ((a**16*a)**14/((a**25/a)/(a/(a**(-7/5)/a)*a*a)))**(-8) assuming a is positive. a**(-8776/5) Simplify (j**(-1)*j*j**(3/10)/j*((j*(j**(-1/8)/j)/j*j)/j)/(j/(j*j/(((j/j**0)/j)/j)*j)))/(j**1/j**1*(j*
{ "pile_set_name": "DM Mathematics" }
10) Simplify (v/((v**(-4)*v)/v*v))/(v/v**(10/9)) assuming v is positive. v**(37/9) Simplify l**15/l**(11/3) assuming l is positive. l**(34/3) Simplify (x/(x/(x**(3/8)*x))*x)/(x**4/x)*(x**1)**(2/49) assuming x is positive. x**(-229/392) Simplify (y*y**(-1))**(-48)*y**(4/3)*y**(1/3)*y assuming y is positive. y**(8/3) Simplify (((c**(-2/7)/c)/c)/c)/(c**1/c)*(c/(c*c**4))/c**(-7) assuming c is positive. c**(-2/7) Simplify (p*p*p**(-2/39)*p)**(-3/2) assuming p is positive. p**(-115/26) Simplify ((r*r/((r/r**(-11)*r)/r))/r**(-21))**(5/19) assuming r is positive. r**(55/19) Simplify (k/(k*k**(2/23)))/k**(-16) assuming k is positive. k**(366/23) Simplify (o/(o/(o**25*o)))/o**12 assuming o is positive. o**14 Simplify (q/q**(-4))**(5/4) assuming q is positive. q**(25/4) Simplify (i**(2/47))**(-2/89) assuming i is positive. i**(-4/4183) Simplify (x/(((x/((x*x/(x*x/(((x*x**(-2)*x)/x)/x)*x*x*x))/x*x)*x)/x)/x)*x)/(x*x/(x/x**(-2/13))) assuming x is positive. x**(-50/13) Simplify (k/(k*k**(2/3))*k/((k**(-9)/k)/k))**(-3/7) assuming k is positive. k**(-34/7) Simplify (u**(2/5)*u*u)**(-2/61)/((u**(-2/7)/u)/u)**5 assuming u is positive. u**(24232/2135) Simplify (c**(-1/3))**(-8)*c**(-3/7)/(((c**(-2)/c)/c)/c) assuming c is positive. c**(152/21) Simplify (a/(a*(a*a*a**(1/24))/a*a))/a**(-24) assuming a is positive. a**(527/24) Simplify (z**0)**(-12)/(z/(z/(z/z**(-1/4))))**34 assuming z is positive. z**(-85/2) Simplify (p**1/p)/(((((p/((p/(p*p**1*p)*p)/p)*p*p)/p)/p)/p)/p)*(p**(1/4)*p)/(p/(p*p**(-6)*p*p)) assuming p is positive. p**(-15/4) Simplify ((g*g**(-2/9))**(-4/9))**(-36) assuming g is positive. g**(112/9) Simplify (b/(b**3*b*b))/(b/(b*b**(-2)/b*b))*b**(2/11)/(b**(1/3)/b) assuming b is positive. b**(-170/33) Simplify (b*b*b*b*b**(-3/13)/b)/b**(-4/7) assuming b is positive. b**(304/91) Simplify (h/(h/((h/h**(-2))/h*h)))**(-19/3) assuming h is positive. h**(-19) Simplify ((p*p**(2/9)/p)**0)**(8/3) assuming p is positive. 1 Simplify a/(a**46*a*a)*a**(-17) assuming a is positive. a**(-64) Simplify (k*k**1*k)**(-2/9)/((k/(k**7/k))/(k*k**(-2/7))) assuming k is positive. k**(106/21) Simplify f/(f/f**28)*f*f**(-22) assuming f is positive. f**7 Simplify (k**(-1)*k)**37*(k**0*k)**(-2/9) assuming k is positive. k**(-2/9) Simplify (w**8)**33 assuming w is positive. w**264 Simplify m/m**(-9)*(m**4/m)/m*m assuming m is positive. m**13 Simplify ((((l**(2/7)*l)/l)/l)/(l*l*l**(-3)))/(l/l**(-2/7))**(-44) assuming l is positive. l**(398/7) Simplify (z*z/(z/z**(-5/3))*z)/((z*z**(-25)/z)/z) assuming z is positive. z**(79/3) Simplify ((r/r**(-7)*r*r)/((((r**(4/7)*r)/r*r)/r)/r))/(r**2)**29 assuming r is positive. r**(-333/7) Simplify ((g**2*g)/g**0)**(-4/7) assuming g is positive. g**(-12/7) Simplify (w**(-2/9)/(w*w/(w*w**(-4)*w*w)*w*w))/(w**(2/7)/w**(-1/5)) assuming w is positive. w**(-1798/315) Simplify ((m**(-4/3))**(-3/7))**40 assuming m is positive. m**(160/7) Simplify (s**11)**(-27) assuming s is positive. s**(-297) Simplify ((t/(t*t*t/(t*t**(2/3)*t*t)))/(t*t*t*t**(1/4)))**(-33) assuming t is positive. t**(209/4) Simplify (b**(-4)/b)**(3/14) assuming b is positive. b**(-15/14) Simplify ((c**(-2/9))**(-9))**44 assuming c is positive. c**88 Simplify (b*b/(b/(b/(b/(b/b**0)*b)*b)*b))/(b**19*b) assuming b is positive. b**(-19) Simplify ((s**(2/5)*s)**(44/3))**(-16) assuming s is positive. s**(-4928/15) Simplify (u**11/u)/((u/u**(-6))/u) assuming u is positive. u**4 Simplify (t/((t*t*t*((t**(12/5)*t*t)/t)/t*t*t)/t))/(t**3/t) assuming t is positive. t**(-37/5) Simplify (l**(-8)*l*l**(-4/3)/l*l)/(l**(-1/4))**(-46) assuming l is positive. l**(-119/6) Simplify ((l/l**(1/3))/l)/l*l**4*l**(-2/13)/(l**(-6/7)/l) assuming l is positive. l**(1193/273) Simplify b*b/b**(-1/10)*b*b**(-2/15) assuming b is positive. b**(89/30) Simplify m**21/m**(-2/3) assuming m is positive. m**(65/3) Simplify (o**(5/2)/((o/o**7)/o))**(5/2) assuming o is positive. o**(95/4) Simplify (f*f**(-14/3))**2 assuming f is positive. f**(-22/3) Simplify ((y**(-1/2))**(-21))**(-3/31) assuming y is positive. y**(-63/62) Simplify (v**(-2/3)*v)**3*v**(-1/9)*v**(-3)/v assuming v is positive. v**(-28/9) Simplify g**(-3/13)/g**(-4) assuming g is positive. g**(49/13) Simplify (c/c**20)/c*c**(5/3) assuming c is positive. c**(-55/3) Simplify w**(7/6)*w**(-1/4)*w assuming w is positive. w**(23/12) Simplify v**(-2/21)*v**(-16) assuming v is positive. v**(-338/21) Simplify ((c**(2/5)/c)/c)**18*c/(c/((c*c**(1/3))/c))*c**(1/3) assuming c is positive. c**(-422/15) Simplify (c/(c**(-9)/c))/c**5*((c*c**(2/11)/c)/c)/(c*c**(7/2)) assuming c is positive. c**(15/22) Simplify (c**2*c)/(c/c**(-1/5))*((c**(-6)/c)/c)/c**1 assuming c is positive. c**(-36/5) Simplify ((i**2*i)/((i/(i*i*i**(7/5)*i))/i))**(-32) assuming i is positive. i**(-1184/5) Simplify ((z*z**(-9))/(z**(2/3)/z))/((z*z*z/z**(2/17))/z**(-7)) assuming z is positive. z**(-895/51) Simplify (h**11*h)/(h/h**(2/35)) assuming h is positive. h**(387/35) Simplify (d*(d*d*d/(d**(-3/8)*d))/d*d*d*d/d**5)/(((d/(d/(d*d**(-1))))/d)/d*d/((d/d**(-1/5)*d*d)/d)) assuming d is positive. d**(143/40) Simplify (q**(-31))**(-8) assuming q is positive. q**248 Simplify (f**(1/3)*f/(f/f**(3/2))*f)/(((f**(-3/7)*f*f)/f)/(f*f**(-2)/f)) assuming f is positive. f**(11/42) Simplify (j**(-1/3))**(-3/5) assuming j is positive. j**(1/5) Simplify (f**(1/4)*f*f*f**(-1/10))/((f*f**(-3/7))/(f/f**(2/17))) assuming f is positive. f**(5857/2380) Simplify (p*p**2)/(p**(1/6)*p*p)*(((p**(1/2)/p)/p)/p)**(-38) assuming p is positive. p**(575/6) Simplify ((k/(k/k**4*k))/k*k)/k*k*k*k**(-13)*k assuming k is positive. k**(-8) Simplify (u/u**(-2/39))/(u*((u/((u*((u/u**10)/u)/u)/u)*u*u)/u)/u) assuming u is positive. u**(-466/39) Simplify (x**(3/2)/x)/(x/(x*x*x/(x/(x/x**(-4/7)*x))*x))*(x**2*x)/(x*x*x*x/(x**(-6)/x)) assuming x is positive. x**(-41/14) Simplify u**(-4)*u*u*u*(u**(-1/11)/u)/u assuming u is positive. u**(-34/11) Simplify (f*(f*f*f**5)/f*f)/((f**(-34/5)/f)/f) assuming f is positive. f**(84/5) Simplify (k*k*k**(4/11)*k)/(k**(-29)*k*k) assuming k is positive. k**(334/11) Simplify (z**26*z)/z*z*z*z**25 assuming z is positive. z**53 Simplify (u/(u*u**(-5/2)*u))/u*u/(u/(((u*u*(u*u*u**(1/6)*u)/u*u*u)/u*u)/u))*(u/(u*((u*u**(2/7))/u)/u*u*u))**32 assuming u is positive. u**(-745/21) Simplify g**(1/9)*g/((g*g*g**(-8)*g)/g) assuming g is positive. g**(64/9) Simplify (y**(-3/22)/y)**40 assuming y is positive. y**(-500/11) Simplify ((f/(f**(-3/8)/f))/f*f*f*f)/f*f**7/f*f assuming f is positive. f**(83/8) Simplify (a/(a/a**1))/(a**(-2/3)*a) assuming a is positive. a**(2/3) Simplify (q/(q*q/(q*(q/(((q/((q**7/q)/q))/q)/q))/q)))**50 assuming q is positive. q**300 Simplify r/((((r*r**15*r)/r)/r)/r)*r*r*r**(3/5) assuming r is positive. r**(-52/5) Simplify i/(i/(i/i**(2/25)*i)*i)*i*i**28 assuming i is positive. i**(748/25) Simplify j*j/(j*j*j**32)*((j/(j**28/j)*j*j)/j)/j assuming j is positive. j**(-58) Simplify p/(p*p*p/(p/(p**24/p)))*(p/(p/((p/(p/p**(-12))*p)/p)))/p assuming p is positive. p**(-37) Simplify g*g**(-21)*g/(g*g**(-20)) assuming g is positive. 1 Simplify (o**(-1/2)/o)**(-22/7)/(o**(-3)/o*o/o**(-1/2)) assuming o is positive. o**(101/14) Simplify l/(l/(l*((l/(l*l**31))/l)/l))*l**(-2/21) assuming l is positive. l**(-674/21) Simplify (d/(d**(-20)*d*d))/d*d*d*d*(d*d**36/d*d)/d*d assuming d is positive. d**58 Simplify ((y/(y/(y**(-9)/y)))/(y*y**0*y))**(-14/11) assuming y is positive. y**(168/11) Simplify a/((a/(a/a**5))/a)*(a*a**(1/11)*a)/a*a*a assuming a is positive. a**(1/11) Simplify (w/w**(-3)*w)/w*w**(2/27) assuming w is positive. w**(110/27) Simplify (k/(k/k**(-6/11)))/k*k*k/((((k**(-9/4)/k)/k)/k*k)/k) assuming k is positive. k**(251/44) Simplify g**(-39)/g*g*g**39 assuming g is positive. 1 Simplify (l**(1/3)*l)**(-18/11)*(l**7*l*l)/l**(5/2) assuming l is positive. l**(95/22) Simplify (((b/b**14)/b*b)/(b/b**20))**(2/3) assuming b is positive. b**4 Simplify g**(-26)*g/(g/g**(10/11)*g*g)*g assuming g is positive. g**(-287/11) Simplify (d*d**(-1/10)/d)/d*d*d/(d/(d*d*d**(-1/4)))*d*d*(d*(d**(-5)/d)/d)/d*d/(d*d*(d**(3/5)*d)/d) assuming d is positive. d**(-99/20) Simplify (m/(m*m/(m/(m**(-11)/m*m)))*m)/(m/(m*(m*m/(m/(m**26/m))*m)/m)*m) assuming m is positive. m**37 Simplify (q*q**(-3/22)/q*q*q**(-3/13))**(-1/41) assuming q is positive.
{ "pile_set_name": "DM Mathematics" }
olve 0 = -6*b + h*b + 4 for b. -4 Let g = 5999 - 5998. Let o = 4 + -1. Solve g - o = -n for n. 2 Let c be (-4)/(-6) - (-34)/3. Suppose -h - h - c = 0. Let i be 2/h - 26/(-6). Solve i*t - 8 = -0*t for t. 2 Let a(p) = 10*p. Let z(n) = -3*n. Let h(b) = 2*a(b) + 7*z(b). Let c be h(-12). Solve 4*r + c = r for r. -4 Let h(z) = -z**3 + 24*z**2 + 27*z - 42. Let s be h(25). Let o = s - 2. Solve -o = -5*g - 11 for g. -1 Let y be (3 - (3 - 5))/1. Suppose r - 5*c = -8, -29 = -3*r + r - y*c. Solve -5*w + r = 17 for w. -2 Let a = -16 - -16. Suppose 4*t + 15 = t. Let s = 14 + t. Solve l - 4*l - s = a for l. -3 Let g(o) = o**2 - 11*o + 4. Let j be g(12). Let x(r) = -3*r + 5*r - 12 - r. Let y be x(j). Solve -5*l = 24 - y for l. -4 Let j be -2 - (-19 + (1 - 0)). Let d(g) = 2*g**3 - 26*g**2 - 2*g + 31. Let h be d(13). Solve -n + h*n = -j for n. -4 Suppose -44*g + 315 = 61*g. Solve 8 - g = b for b. 5 Suppose 0 = 4*r + 36 - 52. Suppose -3*v + 8 = 2*c, 2*c = -r*v + 4*c + 6. Solve -6 + 0 = v*o for o. -3 Let g(j) = -j**2 + 1. Let c be g(-1). Let d be ((-2)/(-4))/((-1)/22). Let y = 13 + d. Solve -y*b + b - 2 = c for b. -2 Suppose -4*q - 2*a = a + 12, 0 = -5*q + 5*a + 20. Suppose -2*s = -r - 1, -2*r = -2*s - 7*r - 5. Suppose q = d - s*d - 8. Solve -d = 3*g - g for g. -4 Suppose t - 3*o + 6 = -6*o, 9 = 2*t - o. Suppose -t*d = -d + 8. Let k = d + 8. Solve k = -0*v + v for v. 4 Suppose -m + 43 - 7 = 0. Let a = -16 + m. Suppose 14*k - 18*k = -a. Solve 15 = 4*j - k for j. 5 Suppose -h + 2976 = 3*h. Suppose -2 = -v - 0. Let g be v/5 + h/40. Solve -5*z = 6 + g for z. -5 Suppose -n + 1 = 5*a + 2*n, -2*a = -3*n - 13. Let u = 3418 - 3418. Solve 5*k - 4*k - a = u for k. 2 Let q = -13 - -12. Let u be ((0/q)/3)/3. Solve p - 5*p + 4 = u for p. 1 Let w be -2 + -1 + (-14 - -20). Solve -2*c - w = 7 for c. -5 Let x = 24 - 40. Let v = 16 + x. Solve v - 8 = -4*q for q. 2 Suppose -9 = -4*r - 25. Let n be (0 - -1) + -1 + 4 + r. Solve n*o = o for o. 0 Let i(x) be the first derivative of -x**4/4 - 17*x**3/3 + 37*x**2/2 - 15*x + 10. Let m be i(-19). Solve -z - m = -3*z for z. 2 Let q = -15 + -18. Let v = q + 23. Let x be (-5)/(v/14) - 4. Solve 0*c - x = 3*c for c. -1 Let q = 9 - 3. Suppose x - 3 = -2*b, -q*x = -4*b - x + 27. Suppose -5 + 13 = 2*w. Solve j - w*j - b = 0 for j. -1 Suppose -2*g - 95 - 75 = 0. Let v be (-236)/(-10) + (-34)/g. Let w = -22 + v. Solve y + w = -y for y. -1 Let n(u) = -u**3 - u - 47. Let p be n(0). Let i = -43 - p. Solve 0*f - 8 = i*f for f. -2 Let q = -24 - -27. Suppose -2*g - q*g + 26 = 4*z, 0 = -4*z - 4*g + 24. Solve -z*x = x - 5 for x. 1 Let g = -17 + 24. Solve 8 = g*x - 3*x for x. 2 Let z be ((-7)/2)/(3/6 - 1). Let y be (-6)/4*(5 - z). Solve 5 - 2 = -y*r for r. -1 Let c be (-5 + (-279)/(-18))*6. Solve -4*b + 55 = c for b. -2 Let s(b) = -b**3 - 5*b**2 + 3*b + 9. Suppose 26 = -5*f + d, f - 4*d = -f - 14. Let t be s(f). Let k be (-33)/(-22) + t/(-4). Solve -k*j = -0 - 3 for j. 1 Suppose 3*b = b. Suppose b = -t + 2*c - 6, 4*t - 2*t - 28 = -4*c. Suppose 8*d - 42 = -2. Solve d*n = t*n for n. 0 Suppose -5 = 2*t + 5. Let s be (1 - (-15)/(-12)) + 7/28. Let x = s - t. Solve -n - 1 = -x for n. 4 Let p be 21/(49/7)*(-64)/(-12). Solve -5*m + m = p for m. -4 Suppose 43 = -42*o + 169. Solve 5*n + 16 = -o*n for n. -2 Let a(q) be the third derivative of -q**5/60 + q**4/2 + q**3/3 + 5*q**2. Let i be a(12). Suppose -4*t = -0*t. Solve t*g = i*g for g. 0 Let d(w) = w**3 - 14*w**2 + 2*w - 18. Let v = -10 - -24. Let f be d(v). Solve -f = -5*s - 5 for s. 1 Let s(l) = -l**2 + 2*l - 2. Suppose 0*k - 3*k = -6. Let b be s(k). Let o = b - -5. Solve -a = o + 2 for a. -5 Suppose -5*i - 3*r + 17 = 0, 3*i = 2*r - 3*r + 11. Solve 0 + 4 = -i*p for p. -1 Suppose 5*s + 179 + 91 = 0. Let m = s + 54. Solve 2*f + 2*f + 12 = m for f. -3 Let o = -2 - -5. Suppose o*t + 5 = 2. Let q be ((0/(-2))/1)/t. Solve q = y + 4 for y. -4 Let w be (-1 - (-3 - -4)) + 4. Suppose 0 = 2*z - 10, -2*p + 2*z + 0 + w = 0. Suppose -4*g + p*g - 6 = 0. Solve g*d + 20 = 5 for d. -5 Let x be 11/(66/24) - (-4 - -7). Solve -7 = 8*k + x for k. -1 Let t be (32/(-6))/4*(-4731)/332. Solve 2 = -7*y - t for y. -3 Suppose 0 = -c + 2*c - 3*p - 24, -4*p = 12. Solve -5*v - c = -10*v for v. 3 Let g(k) = k**2 + 11*k + 20. Let y be g(-9). Suppose -2*a + 3*b = -16, 3*a - 2*b - 9 = y*a. Solve z + 1 = a for z. 4 Suppose -50 = 5*a + 125. Let w = -31 - a. Solve -3*h = -7*h - w for h. -1 Let t be -3*(-2 + 2/3). Suppose -t*d + 1 = -3*d. Let v be (2 - 2)/(d*-3). Solve v*y = -y - 4 for y. -4 Suppose 15 = -d + 2*d - 4*i, 4*i = 2*d - 26. Suppose -n = -d + 19. Let z be (4/(-8))/(1/n). Solve 2*l + 0 - z = 0 for l. 2 Let r be 0 - 0/((-4)/(-1)). Suppose r = -t - 1. Let u = 10 + t. Solve 5*z = u + 6 for z. 3 Let f be (-42)/8 + 30/(-40). Let w = f - -6. Let b = 0 - w. Solve 0*o + 5*o + 20 = b for o. -4 Suppose -226*f - 8 = -227*f. Solve 0 = -4*j - 0*j - f for j. -2 Suppose 0 = 4*y - u, -2*y - u + 2*u = 2. Solve 3 + y = -2*q for q. -2 Suppose 10*m = 6*m + 76. Let j = m + -8. Suppose 4 = 5*q - j. Solve n + q = -2 for n. -5 Let z be (-5)/((-30)/(-141))*(-4 + 0). Solve -z*r + 90*r = 0 for r. 0 Let j = -1185 - -1260. Solve 0 = 10*s + 5*s + j for s. -5 Suppose 4*v - 9 = v. Let o(u) = u**3 + u**2 - 30*u + 3. Let z be o(5). Suppose -2*s - 4*m = 0, -z*s + m = 3*m. Solve s = -t + v*t + 10 for t. -5 Suppose -3*t + 11 = -43. Let s = t + -30. Let m be s/(-4) - 3 - -2. Solve -m*o = o for o. 0 Let c(l) = l**3 + 13*l**2 - 16*l - 26. Let f be c(-14). Let q = -11 - -25. Suppose 0*g = -g - 5*r + q, -3*g - 2*r = -16. Solve -f = g*w - 22 for w. 5 Suppose -3*i + 15 = -3*z + 3, 5*z = 4*i - 16. Suppose 8*q - 27 - 13 = 0. Solve -y = -z*y + q for y. -5 Suppose 6*c - 127 = 35. Let z = c - 7. Solve -j = 3*j - z for j. 5 Suppose 5*j - 19 + 4 = 0. Let y be 1/3 - 1/j. Let l be 14/((-20)/10) - -10. Solve -f + 5 - l = y for f. 2 Suppose 0 = 5*w + 2*p + 4 - 26, -3*w + 14 = 2*p. Suppose 3*r + 8 = 7*r. Suppose 7 = w*k + 4*j - 5, -4*j = r*k - 10. Solve -k = 2*d - 5 for d. 2 Let p = 7 + -4. Let a(y) = 9 + 3 + y - p. Let l be a(-5). Solve 0*t - 12 = l*t for t. -3 Let o(l) = l**3 + 7*l**2 + 11*l - 1. Let y be o(-3). Solve y*j + 4*j = 0 for j. 0 Let k be ((-2)/2)/((-1)/3). Suppose 17 = 3*p + 17. Let l be 2 - p*k/(-9). Solve 12 = -2*z - l*z for z. -3 Let k(f) = -f**2 - 30*f + 13. Let v be k(-31). Let g be (-3)/(-4) - v/8. Let a(b) = b**3 + 4*b**2 - 4*b + 4. Let c be a(-4). Solve 0 = g*p - 7*p - c for p. -5 Suppose q + 14 = 2*q. Let p = -10 + q. Suppose k - p*k + 45 = n, -4*n = -12. Solve 6 = -4*o + k for o. 2 Suppose 0 = -2*z + 6. Suppose -r - r = -6. Solve -r = z*u + 12 for u. -5 Let d(m) = -m + 12. Let n be d(12). Suppose -4*o = 3*b + 12, n = -b + 3*o + 2 + 7. Solve -t + 2*t = b for t. 0 Let s(u) = -u**3 - u**2 + 2*u - 1. Let p be s(-5). Let i = p + -89. Solve 3*a - a = i for a. 0 Let b be 14 + (-1)/(-2)*-4. Let m be -1 + 1 + b + -10. Suppose 0*u = m*u - 8. Solve -21 = u*q - 5 for q. -4 Let q(i) = i**2 - 39*i + 334. Let s be q(12). Solve -27 = s*z - 19*z for z. 3 Suppose 0 = 32*z - 155 + 59. Solve -z = 13*o - 12*o for o. -3 Let j(i) = -4*i**2 - 3*i - 2. Let z be j(-2). Let p = z - -17. Let q(w) = -2*w**3 - 2*w**2 + 2*w + 2. Let l be q(-1). Solve l = p*r + 9 + 1 for r. -2 Let q be ((-1)/(-2))/((-2)/(-124)) + 1. Let w = 35 - q. Solve -2*k = w*k - 15 for k. 3 Let r(s) = -s**3 + s**2 + 5*s - 4. Let g be r(4). Let q = g - -39. Solve q*w = 3*w + 12 for w. 3 Let t(i) = -i**2 + 2*i + 16. Let m be t(7). Let h = 19 + m. Solve h = 3*d - 4*d + 2 for d. 2 Let c be 0 + -4 - -5 - 2/2. Solve c*i - i + 2 = 0 for i. 2 Suppose 39 = q - 29. Let y = 47 - q. Let w = y - -23. Solve u - w = 2*u for u. -2 Let r be (-4)/28 - 21/(-147). Let v be 1/(26/(-28) + 1). Suppose 3*u = v + 1. Solve r = -7*f + 2*f + u for f. 1 Let j be (-3 - -8) + -3 - -2. Let h(t) = -t**2 - 18*t - 67. Let i be h(-12). Solve -j*k + i = -7 for k. 3 Let a be 6/(2 - (2 - 1)). Suppose -a*i - 51 = -3*i. Let x = -15 - i. Solve -4 = -x*t + 2 for t. 3 Let o = -28 + 30. Suppose -4*t = -o*w, t = -4*w + 6 + 3. Solve 6*m = 5*m - w for m. -2 Let h(o) = o**3 - 16*o**2 - 4*o + 67. Let q be h(16). Solve -q*p = -13*p + 20 for p. 2 Let p(g) = -2*g - 3. Let i be p(-6). Suppose 2*v + 41 = -v + 5*q, -12 = -3*q. Let y = i + v. Solve 0 = y*j - 4*j for j. 0 Let s be ((-30 +
{ "pile_set_name": "DM Mathematics" }
et t(q) = q + 1. Let n be t(12). Suppose 2*h - n + 5 = 0. Solve 7*m - h*m - 12 = 0 for m. 4 Let f = 21 + -12. Solve 0 = j + 2*j - f for j. 3 Suppose -3*g - 2 = -11. Let v be (2/(-3))/(g/9). Let m be (-1)/2 + (-27)/v. Solve 2*r - m + 3 = 0 for r. 5 Suppose -2*w = -5*b - 2, -2*b - 5 = -5*w + 3*b. Solve -2*r - w - 9 = 0 for r. -5 Let t = 0 + 5. Suppose 6*k + 4*j = t*k + 13, 2*k - 4*j = 2. Solve -14 = k*y + 1 for y. -3 Let t(s) = -9*s + 2. Let m be t(-1). Solve -6*a + 5 = -m*a for a. -1 Let f be (0 - -1)/(1/8). Let m(i) = -5*i**2 + 2 - i**3 + 0 - f - 7*i. Let o be m(-4). Solve j = -2*j + o for j. 2 Let p be -2 + (0 - (-2 - 5)). Let y be (-2)/3*(p - -1). Let l be (10/4)/((-2)/y). Solve 2*z - l = 3*z for z. -5 Suppose -3 = -4*z + 9. Let y be (1 + 1)/(-2)*-3. Solve -z = -3*i + y for i. 2 Suppose 0 - 16 = -4*m. Suppose 2*r = -3*r. Solve r = m*c + c + 5 for c. -1 Let g = 27 + -15. Let b be (-4)/(-1)*(-21)/g. Let h = -7 - b. Solve h = j - 2 for j. 2 Let d(n) = 8*n - 1. Let v be d(1). Suppose -q - 14 = v*j - 3*j, 0 = q + 5*j + 18. Solve 4 = q*y - 4 for y. 4 Suppose 0 = -0*f + 4*f. Let s be 3*12/126*(2 - -5). Solve g + s - 4 = f for g. 2 Suppose 31 = -5*j + 11, z - 3 = 3*j. Let s(h) = h + 12. Let v be s(z). Solve x - 4 = -v*x for x. 1 Suppose f + d = -2*f + 6, 4*d = -f - 9. Suppose 0 = 4*q + 2*p - 14, 2*q - 4*q - 2*p = -10. Solve q*y + f = y for y. -3 Let r be 4 - 0/(-4) - (0 - 2). Solve 0 = -d + r*d + 25 for d. -5 Let h(f) = -f**3 - 3*f**2 + 12*f + 14. Let k be h(-5). Solve k = -0*s + s for s. 4 Suppose 7 = -2*h + 31. Solve 3 = -3*p + h for p. 3 Let t = 17 + -7. Let z be ((-5)/2)/(1/8). Let y be (-1)/(-4) + 5/z. Solve y = -t*a + 5*a for a. 0 Suppose -p - 100 = -5*i, -6*i + 100 = -i + p. Solve i = -9*z + 4*z for z. -4 Suppose 2*n - 15 = -3*y, -3*y - 3*n + 15 = -y. Let m be 32/(-5)*(5 + -10). Let z = m - 19. Solve -y*d - z = 2 for d. -5 Suppose -m = -4*o + 40, o - m = -0*o + 10. Solve -o*l - 8 = -14*l for l. 2 Let l = -38 - -46. Solve -4*c = -l*c - 16 for c. -4 Let n(f) = -f**2 - 5*f - 4. Let a be n(-3). Suppose 0 = -3*d + 5 + 7. Suppose a*k = d*k. Solve -2 = -c - k*c for c. 2 Suppose 11 - 20 = -3*i. Solve -m - 20 = i*m for m. -5 Let w(l) be the second derivative of -l + 0 + 1/6*l**3 + 4*l**2. Let y be w(-6). Solve y*v = -v for v. 0 Let c = 19 + -15. Suppose -c*a - 3*z = -11, 3*a - a - 4 = -2*z. Solve 3*g + 10 = a*g for g. 5 Let s be (4*-1)/(2/(-3)). Suppose -3*x + 9 = -s. Solve 0 = -x*y + y + 20 for y. 5 Suppose 5*z - 5*r = 10, 0 = z - 4*r - 7 - 1. Solve -2*l + l - 5 = z for l. -5 Suppose -g + 4*f = 6*f - 11, 5*f - 35 = -4*g. Solve 0 = -g*j + 2 + 3 for j. 1 Suppose -4*q = -2*v + 2, 0 = q + 4*v - 26 + 4. Solve 12 - 4 = -q*z for z. -4 Let z be (-1)/(4 - 0) + (-20)/(-16). Solve -i = z + 3 for i. -4 Let v be (0 + -4)/2*(-5)/2. Suppose -2*k - y + 0*y - 1 = 0, 5*y + 5 = -k. Let w be (-22)/(-4) + 1/2. Solve v*a - 3*a - w = k for a. 3 Let j(p) = -3*p - 3. Let a be j(3). Let v = -10 - a. Solve -15 = 5*c - v*c for c. -5 Suppose -7*r + 20 = -29. Solve 0 = 3*s + r - 1 for s. -2 Suppose j - 12 = -0*j - 5*m, 2*m = 4. Suppose -4*s = j*l - 30, 0*l = 4*l - 20. Suppose 2*c = y - 0*c, c - 11 = -s*y. Solve -y*d = 2*d + 8 for d. -2 Let d(o) = -o - 5. Let g be d(-8). Let i(h) = 2*h**3 + 3*h**2 - 4*h + 3. Let f be i(2). Suppose g = -4*q + f. Solve q = -u + 10 for u. 5 Suppose 14*p - 16*p + 12 = 0. Solve p*i = 2*i + 20 for i. 5 Suppose 0*x - 2*x = 0. Suppose 4*g - 2*s = 6 + 4, 5*g - s - 14 = x. Solve g*n + 15 = 6*n for n. 5 Let d be 5 - 5*(-4 + 5). Solve d = -o - 5 for o. -5 Suppose 0 = 2*j - 4 - 2. Let n be -2*(2 - j)/1. Suppose 0*m = -n*m. Solve m = 2*d - d - 4 for d. 4 Let r(w) = w**3 + 2 + w**3 + 5*w**2 - 4*w - 3*w**3. Let y be (2 - 24/15)*10. Let v be r(y). Solve 2*k - v = -6 for k. -2 Let v = -1 - -3. Suppose v*d = -2*d + 4. Solve -d = w - 5 for w. 4 Suppose -4*i + 6 = 3*z + 17, 4*i + 14 = -2*z. Let d(v) = -v**3 - 4*v**2 + 5*v + 5. Let h be d(-5). Solve -z*f = -h*f - 10 for f. -5 Suppose -j = 3*c - 10, 0*c - 5*c + 30 = -5*j. Let h(y) be the first derivative of -y**2/2 - 4*y + 2. Let n be h(-4). Solve n = -c*w - 4 for w. -1 Let y(w) = -w + 7. Let n be y(7). Suppose -4*j + 3*m + 18 = n, -3*j + 2*j - 5*m = 7. Solve 4*l - 15 + j = 0 for l. 3 Let b = -4 - -9. Suppose 4*h = -2*q + 11 + b, h + 2*q = 10. Solve 8 = h*s + 2*s for s. 2 Let f = 0 - -20. Solve 3*x = -x - f for x. -5 Let s(a) = -5*a + 8. Let r be s(-9). Suppose 27 = 4*w - r. Suppose -2*y - 2*y - w = -2*m, -11 = m + 5*y. Solve m = -3*g - 2 for g. -2 Suppose -44 + 38 = -3*q. Solve q*c = c + 5 for c. 5 Let a(w) = w**2 - 11*w - 22. Let r be a(13). Solve 5*s = r*s - 1 for s. -1 Let t(j) = -j + 3 - 3*j - 2. Let c be t(2). Let v = c - -13. Solve 0 = -v*h + 3*h for h. 0 Suppose -2*c = -6*c - 0*c. Let w be (-13)/(-3) + (-1)/3. Solve -p - w = -c*p for p. -4 Suppose -g - 56 = -3*g + 4*h, 6 = -3*h. Suppose l + g = 5*l. Solve -w + l*w = 15 for w. 3 Suppose 0 = -0*k + k, -5*w = k - 15. Solve -w = 4*d + 5 for d. -2 Let w be -1 - (-2 - 1/1). Solve m - 3 = -w*m for m. 1 Suppose -6*y + 35 = -1. Solve y*s - 25 = s for s. 5 Suppose -3*f + f = -68. Let b be -1*f*5/(-10). Let n = 2 + 3. Solve -n + b = 4*x for x. 3 Let d be 6 + (-114)/18 - 14/(-6). Solve o - d = 1 for o. 3 Let v = -8 + 10. Solve 2*a - v + 6 = 0 for a. -2 Suppose -3*i - 4 = -52. Solve 0 = -0*b - 4*b + i for b. 4 Let r(i) = -i**2 - 4*i + 7. Let k be r(-5). Suppose 0*y = -k*y + 36. Suppose -4*h + y = -h. Solve 0 = -0*v + 3*v - h for v. 2 Let z(m) = -m**2 - 11*m - 12. Let n be z(-9). Suppose 3*p = -p - 16. Let i = n + p. Solve -2 = i*l - l for l. -2 Let b(o) = -o**2 + o - 1. Let t(c) = -c**3 + 4*c**2 - 2*c. Let q(d) = 2*b(d) + t(d). Let z be q(2). Let k be -2 - (2 - (2 - z)). Solve k = 3*j + 2*j for j. 0 Suppose -3*g + 4*y + 20 = 0, 2*g = 3*g + 5*y + 25. Solve 0 = -g*r + 2*r - 2 for r. 1 Let t = 49 + -45. Solve -z = t - 1 for z. -3 Let g(q) = q + 2. Let r be g(2). Suppose 4 = -2*u + 4. Solve u*v = r*v for v. 0 Let i(x) = -x + 0*x + 16 - 1. Let m be i(12). Let b(q) = q - 6. Let r be b(6). Solve w - 2*w - m = r for w. -3 Let z(i) = -i**3 - 2*i**2 + 2*i - 3. Let f be z(-3). Let h be (5 + 1)*10/(-15). Let k be h*3/6*-1. Solve k + f = -v for v. -2 Let p = -8 + 2. Let h be p/(-33) + 106/22. Solve 7*n = 2*n - h for n. -1 Let g(r) = -2*r**3 + 11*r**2 + 7*r - 6. Let b be g(6). Solve 3*t - t + 2 = b for t. -1 Suppose 0 = 5*i - 5*k - 5, 3*i = 8*i - 4*k - 6. Solve 5*f - 12 = i*f for f. 4 Let f = 2 - 0. Let l be 3/f*(-250)/(-15). Solve 0 = 4*y + y + l for y. -5 Suppose n = 2*j - 11, -4*j = 2*n - 4 + 2. Let x = 1 + 1. Suppose 2*a = -2*g + g - x, 5 = -2*g - 5*a. Solve 4*q - j + 7 = g for q. -1 Suppose 5*v = 5*g, 8 = 3*v - g + 2. Solve v*q = -q + 16 for q. 4 Suppose -3*i + 8*i = -4*o, o = -3*i - 7. Suppose 12*l - 7*l - 16 = -k, 3*k + 20 = 2*l. Suppose o*y = -10, -l = f + 3*y - 2. Solve -f*v = 5 - 1 for v. -1 Let j(x) = -x**3 - 6*x**2 + 6*x - 4. Let z be j(-7). Solve -n + 2*n + z = 0 for n. -3 Let g be (-3 - 2*-2)*5. Suppose 6*y - 3*o - 49 = y, 0 = 2*y - g*o - 31. Solve 0 = 5*q - y + 3 for q. 1 Let a be (3 - 3) + 4 - 2. Let b(d) = -2*d. Let i be b(6). Let o = -7 - i. Solve a*g = o*g + 9 for g. -3 Suppose q - 2 = -5*l, l = -l - 2*q - 4. Suppose l = -4*x + 5. Let b = -1 + 5. Solve -x - b = -z for z. 5 Suppose 14 = 3*h - 1. Suppose -h*x = -3*x. Solve x = 5*y - y for y. 0 Let v = 6 - 2. Suppose 0*r - 2*r = m - 9, 0 = v*r - 2*m - 22. Solve r*x + 0 - 10 = 0 for x. 2 Suppose -10*a = -6*a. Let x = 4 + -3. Solve q - x = -a for q. 1 Let u(x) = x + 7. Let b be u(-5). Let o be -2 + -1*b + 1. Let z = 2 - o. Solve -z*s + 1 = -4 for s. 1 Let p be (-91)/(-21) - 2/(-3). Solve -8*w + p = -3*w for w. 1 Let d be (-45)/(-54)*12/2. Solve -3 = -4*f + d for f. 2 Let w(m) = -m**2 + m + 1. Suppose -2*j + 16 + 2 = 0. Let q = -9 + j. Let a be w(q). Solve -4*o = a - 9 for o. 2 Let m be 0/(3 - (0 - -1)). Suppose 2*w = -3*k + 36, -w - 2*w - 3*k = -54. Let i be 86/w + (-8)/(-36). Solve m = n - i*n + 4 for n. 1 Suppose 0 = -2*y - y + 9. Let c = 5 - y. Solve -c + 6 = -4*g for g. -1 Let g(p) be the third derivative of -p**6/120 - p**5/15 - p**4/24 + 2*p**2. Let u be g(-4). Let j be 6/u - (-1)/2. Solve o - j = -1 for o. 1 Let p(j) = j**3 - 7*j**2 + 7*j - 5. Let n be p(6). Let f(c) = 3*c + 1. Let b be f(1). Solve 0 = -b*v - 3 -
{ "pile_set_name": "DM Mathematics" }
3*v. Solve 12 = -4*z - f for z. -3 Suppose 0 = -3*y + y - 24. Let q be (1 + (-5)/3)/(8/y). Suppose 0 = 3*z - 2*z - 2. Solve -g = q + z for g. -3 Let y = -13 - -32. Let w = 28 - y. Let i be 32/6 + (-3)/w. Solve -4 = i*k - 14 for k. 2 Let t(a) = a + 153. Let d be t(-41). Solve 0 = 113*o - d*o - 5 for o. 5 Suppose 0 = -5*v + 9 + 11. Let r(m) = 159*m - 1. Let q be r(1). Suppose -q + 163 = 5*z. Solve -o - z = v for o. -5 Suppose 1248 = -9*m + 168. Let y = -120 - m. Solve -2*x - 4 = -y for x. -2 Let c be (6 - 7 - -6) + -3 + 2. Solve -c*j = -0*j for j. 0 Let f(r) = 21*r**2 + r. Let m be f(-2). Let b = m - 69. Solve -5*x - 3 = -b for x. 2 Suppose 2*c = 1 + 9. Suppose 0 = -c*p - 4*y + 1, -6 = 3*y - 3. Solve -3*b - 4 = -p for b. -1 Suppose 3*i = -4*b + 10, -22*i + 3*b - 12 = -25*i. Solve -i*d + 7*d = -5 for d. -5 Let r be (102/(-306))/((-10)/(-12) - 1). Solve 5*l - 12 = -r for l. 2 Let p be 3*48/18 - 6. Solve p*i + i + 9 = 0 for i. -3 Suppose -8*i - 18 + 98 = 0. Solve -23*p = -18*p + i for p. -2 Suppose u = -5*i + 6, 0 = 7*i - 3*i + 4. Let f(n) = n. Let v be f(2). Solve v*h + u = 5 for h. -3 Let p(w) = -23*w**3 - w. Let n be p(-1). Let h = n + -25. Let v = h + 5. Solve y + 1 + v = 0 for y. -5 Suppose 1579 = 11*w + 1546. Solve -38 = -w*a - 47 for a. -3 Suppose 0 = -5*g + 3*g + 4*x - 8, -32 = -3*g - 5*x. Solve 0 = -i - g + 6 for i. 2 Let r be 1216/288 + (-2)/9. Solve r = -3*q - 5 for q. -3 Suppose 148*q - 150*q = 0. Solve b + 7 - 2 = q for b. -5 Let g = 235 - 159. Let u = g - 74. Solve 2*l - 12 + u = 0 for l. 5 Let n(b) = -b**3 + 8*b**2 - 3. Let k be n(8). Let d be (k/(-18))/((-1)/(-6)). Suppose -15 - 1 = 4*o, 0 = 5*h + o - d. Solve 7 = 2*m - h for m. 4 Let a(d) = 12*d + 77. Let v be a(-5). Solve -v*o + 15 = -14*o for o. 5 Suppose 3*v + 4*x = 30, -2*x = 5*v - 27 - 37. Suppose -3*p - p = 3*r - v, r + p - 4 = 0. Solve 15 = -f - r*f for f. -5 Suppose -3*t + 6*t = -15, i + t = -11. Let u = i - -9. Solve u*x = -0*x + 3 for x. 1 Suppose -69*t + 88*t - 266 = 0. Solve t = 5*b - 6 for b. 4 Let v be ((-84)/98)/(1/21). Let y be -4 - (-9)/(v/(-8)). Solve -2*n + 4*n + 2 = y for n. -1 Let j be (-5 + (3 - -1))*-5. Suppose -3*g + h = -2*h - 51, g + j*h = 5. Solve 4*o + g = o for o. -5 Suppose -21 = -3*g + 3*z, z = -0 - 3. Let x(v) = v**3 - 3*v**2 - 7*v + 14. Let k be x(g). Solve d = -k*d - 15 for d. -5 Suppose 0 = -2*l - 54 + 66. Solve 2*r - l = -0 for r. 3 Suppose 0 = -3*o + 4*w + 35, -6 = o + 2*w - 21. Let g = 18 - o. Let b be 6/((g - 3) + -1). Solve b*l = l for l. 0 Suppose 2*q + 5*w - 10 = 0, -5*q + 25 = -0*w + 3*w. Suppose -3 = 4*a - q*a. Suppose 0*y = a*y - 3. Solve -y - 1 = 2*j for j. -1 Let j(q) = q**3 - 6*q**2 + 2. Let n(r) = -r**2 + 5*r + 2. Let p be n(4). Let h be j(p). Suppose -t - h*t = -15. Solve t*d + 9 = -6 for d. -3 Let u = -11 + 2. Let l = u - -13. Suppose 2*j + 10 = l*w, -j - 2 = -w + 1. Solve -d - 5 = -w*d for d. 5 Let z(r) = 2*r + 26. Let s = 8 - 21. Let c be z(s). Solve c*t = -5*t + 5 for t. 1 Suppose -19 = -3*z - 5*s, 2*z - 3*s = -0*s. Let w be z/(5/((-140)/(-12))). Suppose 3*u + w = 31. Solve 3*g = u*g for g. 0 Let q(x) = 1. Let g(t) = -t**3 - 6*t**2 + 8*t + 8. Let o(n) = -g(n) + 4*q(n). Let i be o(-7). Solve 0 = 8*h - i*h + 15 for h. -3 Suppose -123 + 75 = -6*m. Solve -3 = -m*r + 5*r for r. 1 Let g = -432 + 445. Solve -g*a + 17*a = -16 for a. -4 Let b(x) = 2*x**2 - 32*x + 99. Let k be b(12). Solve 17 = 4*t - k for t. 5 Let s(o) be the second derivative of o**2 - 1/6*o**3 + 1/4*o**5 - 1/12*o**4 + 0 - 8*o. Let n be s(1). Solve -5*x - 10 - n = 0 for x. -3 Let z(n) = -n**2 - 13*n + 33. Let h be z(-5). Solve 9 = 16*u + h for u. -4 Let l be (0 + -5)*(-16)/((-64)/(-20)). Solve 4*w + 5 = l for w. 5 Suppose 3*x = 66 - 57. Solve -x*c + 10 = -2 for c. 4 Let a(q) = 3*q - 2. Let b be 3/((-44)/16 + 2). Let u be a(b). Let c(m) = m**2 + 13*m - 11. Let x be c(u). Solve -2*t + 5 = -x for t. 4 Let z(l) = -2*l + 35. Let x(a) = 4*a - 71. Let u(b) = -2*x(b) - 5*z(b). Let y be u(18). Solve 4*m = y*m for m. 0 Let h(i) = -29 - 13*i + 33 + 0*i**2 - i**2. Suppose -q + 0 = 13. Let a be h(q). Solve -a*p + 7 = -5 for p. 3 Let u(t) = t**3 + 2 + 6*t + 5*t**2 + 2*t**2 + 0*t**2. Let y be u(-6). Suppose 0 = 2*l - 4, -y*l - 3*l = d - 16. Solve -2*v = -2 - d for v. 4 Let t(i) = -i**3 + 3*i**2 - 2. Let b be t(2). Suppose 3*o = w + 15, -32*o = -33*o + 2*w. Solve -16 = b*l - o for l. -5 Let t(o) = -o + 6. Let m be t(-6). Suppose u = 7*u - m. Let j(w) = 2*w**2 - w - 4. Let r be j(u). Solve -r*c = -c for c. 0 Let l(q) = q - 2. Let n be l(4). Let y be (0 + 10)*-1 - n. Let s be y/(-3 + 4 + -2). Solve -4*g = -0*g + s for g. -3 Let d(z) = -200*z + 2 + 404*z - 9 - 207*z. Let o be d(-3). Solve -4 = 2*q - o for q. -1 Let b = -7 - -11. Suppose -b*w + 4*l + 88 - 16 = 0, 3*w - 36 = -3*l. Solve d = 4*d - w for d. 5 Let g = -1047 + 1051. Solve -16 = 4*x + g*x for x. -2 Suppose 3*z - 3 = -12. Let i(c) = -c**3 - 2*c**2 + c + 1. Let j be i(z). Let k(t) = -t**2 + 8*t - 5. Let s be k(j). Solve -4*q = -s*q + 2 for q. -1 Suppose -3*v - 6 = -b, 0*b = 3*b + 5*v + 10. Solve -z - z - z = b for z. 0 Let x be (3/((-36)/64))/(4/(-6)). Solve -3*c = -x*c for c. 0 Suppose 5*l - 25 = 5*c, l + 2 = 5*c + 7. Suppose -2*y - y + 78 = c. Suppose -4*a = -2*r + y, 5*a = -5*r + 2*a. Solve r*o + 8 = -o for o. -2 Let b be -3*19/3 + (-1 - 0). Let v(m) = 2*m + 48. Let w be v(b). Solve 4*n - 12 = w for n. 5 Suppose 4 = 5*t - 81. Suppose g - 57 = -2*y, 3*y - 107 + t = -3*g. Suppose -5*i - 2 = 2*o - 17, -5 = o. Solve i*u + y = 2 for u. -5 Suppose -59 - 6 = -5*a. Solve a*g + 27 = 1 for g. -2 Let a(y) = y - 18. Let x be a(43). Solve -3*m = -8*m - x for m. -5 Suppose 0 = 17*r + 13*r - 90. Solve 0 = -4*y - 5 - r for y. -2 Let q(l) be the first derivative of l**4/4 + l**3/3 + l**2/2 + 8*l + 11. Let y be q(0). Solve -3*n = -y*n for n. 0 Suppose 5*q = 20, 8*n - 5*q + 20 = 7*n. Solve n = -w + 2 + 1 for w. 3 Suppose 7*k - 360 = -10. Solve -k*h + 27 = -59*h for h. -3 Suppose -9*i = -10*i - 5*v + 67, 2*i + 3*v - 106 = 0. Solve 4*c - 63 = -i for c. 4 Suppose b - 5 = -b - 5*h, -4*h = 5*b - 4. Let a be 12*(b + (-16)/(-12)). Suppose a*m - 14*m - 4 = 0. Solve -3*v - 1 = m for v. -1 Suppose -14 = -x - x. Suppose 2*k - x = 3. Solve 4*n = -n + k for n. 1 Suppose s + 3*o - 10 = -2, 0 = 4*o - 4. Let b = -537 + 537. Solve b*u + 5 = s*u for u. 1 Let v(g) = -g**3 + g**2 + 4*g - 4. Let n be v(-4). Suppose 4*s + n = 19*s. Solve 0 = -s*q + 2 + 2 for q. 1 Let q = -30 + 72. Let u = 42 - q. Solve d - 2 - 1 = u for d. 3 Let s(p) = 0*p + p + 2*p**2 - p**3 + 2*p. Let l be s(3). Suppose 57*c + 2*r = 56*c + 6, 0 = -4*r - 4. Solve -3*y + c*y + 5 = l for y. -1 Suppose 87 = -y + 4*y. Suppose 4*j + y = 165. Let t be (-3)/(-6) + j/4. Solve v = 4*v + t for v. -3 Suppose 20 = -5*j - 0*j. Let g be 410/25 + j/10. Suppose 2*v - 2*h - g = -0*h, 0 = 5*h + 25. Solve v*u + 18 - 6 = 0 for u. -4 Let d(x) = 3*x**2 + x - 4. Let h be d(-3). Solve -10*q + h = -6*q for q. 5 Suppose 13*d - 3*d = 7*d. Suppose v + 2*a + 3 = 0, 0*a + 2*a + 6 = d. Solve -v*u + 0*u = -15 for u. 5 Let c = -45 - -45. Suppose c = 5*n - 16 - 14. Solve p = 4*p + n for p. -2 Let z(m) = -2 - m**2 - 7*m - 4 + 3. Let j = 180 + -186. Let y be z(j). Solve 8*q - y*q - 15 = 0 for q. 3 Let i = -14 - -17. Let k(r) = 7*r**2 + r - 6. Let u(c) = 4*c**2 + c - 3. Let b(s) = i*k(s) - 5*u(s). Let x be b(4). Solve 0*q + q = -x for q. -5 Let g be -3*((-40)/(-12) + -4). Suppose -5*p - g*i + 4*i + 10 = 0, -10 = -5*p + 5*i. Solve -3 = -p*t - 1 for t. 1 Let w = 4 - 1. Suppose -9 = w*y, -2*a = -7*a + 3*y + 84. Solve a + 5 = 4*i for i. 5 Let r(s) = -s**2 - 25*s + 368. Let l be r(10). Solve -l = 12*p + 18 for p. -3 Suppose -21*l + 19*l - 26 = 0. Let y = l + 15. Solve -y*j + 0 = -4 for j. 2 Let t(y) = y + 10. Let p be t(-6). Suppose p*i - 35 = -3. Solve -2*g - 2*g + i = 0 for g. 2 Let j = 27 - 23. Suppose 4*y = 12 + j. Solve 4 = y*c - 0 for c. 1 Let n = -16 - -30. Let o = 16 - n. Solve o*p + 3 = 7 for p. 2 Suppose -48*f + 45*f = -90. Let k be (-6)/((2/(-1))/(f/10)). Solve 2*i - 1 = -k for i. -4 Let q(d) = d**3 + d**2 - 13*d - 5. Let l be q(-4). Let w be (0*l/(-2))/((-2)/(-1)). Solve w*o - 5*o - 5 = 0 for o. -1 Suppose 2*u - 9 = -m, -9*u + 2*m = -7*u. Solve u = 4*g + 23 for g. -5 Let d be (4 - 7/4) + (-33)/(-44). Solve d*v + 6 = 6*v for
{ "pile_set_name": "DM Mathematics" }
e w + 2 = -3*c, 0*c - 4*w - 8 = -4*c. Suppose c = 6*z - 39 + 15. What are the prime factors of z? 2 Let h(t) = 3*t - 12. Let w = 2 + 6. Let i be 2/(w/6 - 1). What are the prime factors of h(i)? 2, 3 Suppose -2*u = 1 - 15. Let d(z) = -6*z + 15. Let j be d(u). List the prime factors of (-2)/6 + (-1737)/j. 2 Let j(x) = 863*x**2 - 26*x - 64. What are the prime factors of j(-2)? 2, 5, 43 Suppose -98 - 622 = -3*b. What are the prime factors of ((-4)/5)/(0 + (-6)/b)? 2 Suppose -5*a + 32 + 13 = 5*h, -8 = -4*h. Let x(r) = 12*r - 12. What are the prime factors of x(a)? 2, 3 Suppose g - 4*u = 29, 2*u - 91 = -5*g + 4*u. Suppose -5*s + 0 = -25. Suppose 5*c = 2*m - 28, 0 = s*c + 7 - g. What are the prime factors of m? 19 Suppose 0 = 17*k - 14*k + 771. Let v = 528 + k. List the prime factors of v. 271 Let k = -87 - -206. What are the prime factors of (-3)/7 + 0 - (-6953)/k? 2, 29 Let j(c) = -2*c**2 + 21. Let u = 32 + -20. Suppose 6*m - u = 3*m - 3*w, w - 4 = m. What are the prime factors of j(m)? 3, 7 Suppose 36*r = 7725 + 13227. List the prime factors of r. 2, 3, 97 Let f(d) be the second derivative of d**5/20 + 7*d**4/6 + 2*d**3 - 7*d**2 - d - 11. What are the prime factors of f(-10)? 2, 7, 19 Suppose 7*g = 3*g - 8, -3*d - 3*g + 3243 = 0. List the prime factors of d. 3, 19 Suppose -w - 6*t + 62 = -4*t, 4*t + 32 = w. Let h = -24 + w. List the prime factors of h. 2, 7 Let i = 31 - -77. Suppose -5*r = -147 - i. What are the prime factors of r? 3, 17 Suppose -8*r = -4*r - 8. Suppose -r*l + 380 = -4*c, 3*c = -2*l + 142 + 224. Suppose 3*t - l = -4*s - 23, 4*s - 3*t = 181. What are the prime factors of s? 43 Let h(p) = -p**3 - p**2 + 5*p + 438. What are the prime factors of h(0)? 2, 3, 73 Suppose 2*a - 2 + 48 = 0. Let u = 35 + a. What are the prime factors of u? 2, 3 Suppose -20*b + 9*b + 15444 = 0. List the prime factors of b. 2, 3, 13 Let s(q) = -1 + 8*q + 5*q - 14*q. Let h be s(-3). Suppose 0*v - 8 = -h*v. What are the prime factors of v? 2 Suppose 0 = -4*r + 4*o + 1344, -4*r = 5*o - 2*o - 1365. What are the prime factors of r? 3, 113 Let z be (-3 - 2)*32/40. List the prime factors of 1 + (-4)/(-2) - z. 7 Let j be 20/15*342/4. Let x = j + -56. List the prime factors of x. 2, 29 Let q(k) = -77*k**2 - 3*k - 2. Let j be q(-2). Let v be j/(-112) + 4/14. Suppose 5*p + 34 = -g + 162, -2*g + 74 = v*p. What are the prime factors of p? 2, 13 Let b(i) be the first derivative of -i**4/4 - 2*i**3/3 - 3*i**2/2 - i - 4. Let f be b(-2). Suppose -271 = -f*z + 4*p, 1 = 4*p - 3. List the prime factors of z. 5, 11 Suppose -5*b + 3*x = -7496, 0 = -b - 3*x + 1456 + 36. What are the prime factors of b? 2, 7, 107 Let x(t) = -19*t + 5. Let n be x(2). Let d = n - -21. Let v(g) = -g**3 - 12*g**2 - 4*g + 2. List the prime factors of v(d). 2, 5 Let l(a) = a**3 - a + 6. Let i be l(0). Let t be (8/(-10))/(i/(-15)). Suppose -4*v = -t*v - 30. What are the prime factors of v? 3, 5 Suppose -h - 2*h = -225. Suppose -u - 5 = 0, -5*u = 4*n - 12 - h. What are the prime factors of n? 2, 7 Suppose 0 = -5*p + 7*p - 322. Suppose -5*m - 215 = -5*q, 3*m - p = -3*q - 2*m. What are the prime factors of q? 47 Let i(g) = 3*g + 5. Let j be i(-1). Suppose 205 = j*f + 5*d, -481 - 3 = -5*f - 3*d. What are the prime factors of f? 5, 19 Let t(k) = -k**3 - 10*k**2 + 9*k - 19. Let b be t(-11). Suppose -5*o + 142 = b*n, 4*o + 2*n - 40 - 74 = 0. What are the prime factors of o? 29 List the prime factors of (10 + 2)/(3/286). 2, 11, 13 Let t(c) = -c**3 - 10*c**2 - 10*c - 11. Let z = 2 - 11. Let x be t(z). Let d = x + 11. What are the prime factors of d? 3 Suppose 2*u + 7724 = 4*y, -4*u = y - 2277 + 364. What are the prime factors of y? 3, 643 Let h = -10 - -10. Suppose -5*w + 145 = -h*w. What are the prime factors of w? 29 Let t = -25 - -85. What are the prime factors of 525/t + (-6)/8? 2 Suppose -4*q + 9*q = -20. Let i = 3 - q. List the prime factors of i. 7 Suppose -5083 = 4*y - 14519. List the prime factors of y. 7, 337 Let k(d) = 45 + 28*d - 4*d + 3*d. List the prime factors of k(9). 2, 3 Let b(v) = -v**3 + v. Let y be b(-1). Suppose i - 7*i + 132 = y. What are the prime factors of i? 2, 11 Suppose -16*j + 15*j - 3*h + 617 = 0, -3*h = -5*j + 3067. What are the prime factors of j? 2, 307 Let t(m) = m**3 + 17*m**2 + 27*m + 8. Let p be t(-11). Suppose -5*j = -10*j + 2*u + p, 0 = u + 1. List the prime factors of j. 3, 29 Suppose 2*g + 3*g + 4*l - 3005 = 0, g = 4*l + 625. List the prime factors of g. 5, 11 Let a = 677 + -453. Let w be a/(-24)*6/(-4). Let m(g) = g + 14. What are the prime factors of m(w)? 2, 7 Suppose r = 4*h - 25 + 4, 5*h - 42 = -4*r. List the prime factors of 4/h - (-2230)/30. 3, 5 Let h(r) = 27*r + 443. List the prime factors of h(18). 929 What are the prime factors of (4/(-3))/(90/(-22005))? 2, 163 Let i = -638 - -1228. Let w = -367 + i. What are the prime factors of w? 223 Suppose -265 = -5*d + 95. Let n(o) = o**2 + 10*o - 13. Let y be n(-8). Let l = y + d. List the prime factors of l. 43 Suppose 0 = 4*g - 5*h + 1608 - 4906, 0 = -5*g - 4*h + 4143. What are the prime factors of g? 827 Let r be ((-18)/(-54))/((-2)/(-174)). Let s be 3/(-9) + (-22)/(-3). Suppose -s = g - r. List the prime factors of g. 2, 11 Suppose 0 = -2*t - 2*l + 60, t + 2*t - 4*l - 62 = 0. Let k(f) = 7*f - 25. List the prime factors of k(t). 157 Let h(n) = n**3 + 2*n**2 - 2*n + 1. Let y be h(-2). Suppose -5*t + 252 = -y*k + 32, 214 = 5*t - 3*k. List the prime factors of t. 41 List the prime factors of (-210)/5*(-110)/3. 2, 5, 7, 11 Let g = 11 - -60. Suppose -g - 61 = -2*k. What are the prime factors of k? 2, 3, 11 Let i(n) = -2*n - 2. Let x be i(1). What are the prime factors of 2/x*6570/(-15)? 3, 73 What are the prime factors of 9/108*(0 + -4)*-2334? 2, 389 Suppose 2*u - 13502 = -5*k, -1648 + 9744 = 3*k - 4*u. What are the prime factors of k? 2, 3, 5 List the prime factors of (48/28)/(6/4431). 2, 3, 211 Let i = 188 - -188. List the prime factors of i. 2, 47 Suppose -3*f - 2*o + 938 = f, -4*f + 939 = 3*o. Let z = f - 84. What are the prime factors of z? 2, 3, 5 Suppose -5*r - 3*f + 1632 = 0, 0 = 4*r + 2*f + f - 1305. What are the prime factors of r? 3, 109 Suppose 4*w + 162 = 1630. Suppose 6*l + n = 4*l + w, -5*l + 5*n = -955. What are the prime factors of l? 2, 3, 31 Let k be -16*6/42 - 2/(-7). What are the prime factors of (-195)/(k + 0 + (-3 - -4))? 3, 5, 13 Let x = 29 + -24. Suppose -620 = -x*w - 4*o, 0*o + 5*o = 3*w - 335. Suppose -4*i - i + w = 0. What are the prime factors of i? 2, 3 Let m(u) be the third derivative of 3*u**5/20 - u**4/24 + u**3/6 + 175*u**2. Suppose -3*v - 8 = v. List the prime factors of m(v). 3, 13 Let l = -329 - -523. List the prime factors of l. 2, 97 Let j be (-6)/6 - 6/(-1). Let d(m) be the second derivative of -m**4/12 + m**3 + 2*m**2 + 7*m. List the prime factors of d(j). 3 Let k = -28 + 39. Let a = k + -18. Let j = -1 - a. What are the prime factors of j? 2, 3 Suppose -5*m - 23 + 38 = 0. What are the prime factors of ((-12)/14)/m - (-723)/7? 103 Let t(r) = -138*r + 263. What are the prime factors of t(-6)? 1091 Suppose 0 = 4*q - 2707 + 647. List the prime factors of q. 5, 103 Let z = -45 - -58. Suppose -z*b + 10*b + 501 = 0. What are the prime factors of b? 167 Let i = 14 - -2. Let x(c) = c**2 + 13*c + 4. Let g be x(-12). Let p = i - g. List the prime factors of p. 2, 3 Let a(d) = -d**3 - 8*d**2 - 8*d - 2. Suppose -r + 0*r = 10. Let w = r + 3. List the prime factors of a(w). 5 Suppose -b + 5*q - 84 = 0, -4*q = -b - q - 84. List the prime factors of (b/(-30))/((-3)/(-75)). 2, 5, 7 Suppose 0 = -2*j + j + 43. Let r = -20 + j. Suppose r = 2*z - z. List the prime factors of z. 23 What are the prime factors of (-1)/(((-11)/(-938))/(-11))? 2, 7, 67 Let n = -3 - -3. Let l(b) = 5*b - 1. Let z be l(1). Suppose 4*h - 2*w - 102 = n, z*h - 108 = 6*w - 2*w. List the prime factors of h. 2, 3 Suppose -4*z - 4*j + 16276 = 0, 19*j - 14*j + 20335 = 5*z. List the prime factors of z. 2, 3, 113 Suppose -l - 2*l - 5*k = -12224, l = 5*k + 4088. List the prime factors of l. 2, 2039 Let v = 43 - 25. Suppose 0 = -4*k + 47 + 1. What are the prime factors of 60/v*k/5? 2 Let w(l) be the first derivative of -7*l + 3 - 3/2*l**2. What are the prime factors of w(-12)? 29 Suppose -g + 4*m = 5*m - 137, -2*g = -4*m - 262. List the
{ "pile_set_name": "DM Mathematics" }
. Let y = 31 - 28. Is (d/3)/(-1)*y prime? False Let f(u) = 3*u**2 + 3*u - 17 + 41 + u - 21. Let k(j) = -j**3 + 6*j**2 - 2*j + 4. Let b be k(6). Is f(b) prime? True Let k(a) = -160*a**3 + 2*a**2 - a - 2. Is k(-1) prime? False Let o(v) = v + 12. Let n be -1*(-2 - 0) + 7. Suppose -b + 0*b = -n. Is o(b) a composite number? True Let y = 54 - 28. Is y a prime number? False Let d(n) = -371*n**3 + n**2 + 2*n + 1. Is d(-1) prime? False Is 76/(-6)*(-27)/18 a prime number? True Let f = -240 + 385. Is f composite? True Is ((-67)/2)/(7/(-14)) composite? False Suppose 7525 = 3*v + 2*v. Suppose 0 = -a - 4*a + v. Is a a composite number? True Let z(y) = 15*y**2 - 8*y - 6. Is z(-5) composite? False Let k = 205 - 135. Suppose -z - 3*i = -k, -2*z - 4*i + 146 = -0*z. Is z composite? False Suppose -9*l = -505 - 746. Is l prime? True Suppose -2*b - 3*b + 3*i = -1006, 0 = -5*b - i + 1018. Is b composite? True Let j(s) = s**2 + 8*s + 7. Let o be j(-7). Let l(h) = h**3 + h**2 + 41. Let c be l(o). Suppose -29 = -2*n + c. Is n composite? True Let f(x) = -x**2 - 8*x - 4. Let s be f(-8). Is 2 - (-161 - s/2) a composite number? True Let h(z) = 2*z**2 - 2*z - 1. Let n be h(-2). Let r = -4 + n. Is r a composite number? False Suppose 4*p = -297 + 1717. Is p a composite number? True Suppose -2*x = -2*g - 580, -4*x + g = -0*x - 1169. Is x prime? True Suppose 5*p - 39825 = -0*p. Suppose 4*b - p - 2823 = 0. Is b/39 - 4/26 a prime number? False Suppose 3*z = 9 - 0. Suppose -3 + 42 = z*d + 2*t, 48 = 3*d - t. Is d prime? False Let r be (-9)/2*52/(-3). Let v = 127 - r. Is v composite? True Suppose 3*x + 429 = 3*y, -y + 6*y + x - 715 = 0. Is y composite? True Suppose -n = -27 - 6. Suppose -s = -4*s + n. Is s composite? False Let n(i) = -i + 4 - 4 + 3. Let o(v) = -v**3 + v**2 - 3*v + 2. Let b be o(2). Is n(b) composite? False Suppose 4*l - 12 = -0*l. Suppose -329 = -l*o + 244. Is o a composite number? False Let v(j) = -4*j**3 - 3*j**2 - 9*j - 8. Let r(d) = -d**3 + d**2 - d. Let g(z) = -5*r(z) + v(z). Is g(9) a prime number? True Let m = -1037 - -1590. Is m a prime number? False Let l be 9/15 - 2/(-5). Let s be 25 - 2/(l + 0). Let i = s - 16. Is i prime? True Suppose 6*h - 3*h - 5*m = -49, -5*m = -2*h - 36. Is (136/4)/((-2)/h) composite? True Is (2 - (-5)/(-2))*(2 - 2520) prime? True Let a(o) = 37*o - 2. Let n be a(5). Suppose 5*x = -l - n, -4*x - 2*l = -l + 146. Let v = 164 + x. Is v composite? False Let f be 2/4*0/1. Suppose f = 5*n - 154 - 191. Is n composite? True Let s = 39 - 72. Let q = 104 + -168. Let i = s - q. Is i a prime number? True Suppose -28 = -3*q - 19. Suppose -i + 44 = -g - 4*g, 0 = -q*i - g + 180. Is i a composite number? False Is (4/(-6))/(4/(-126)) prime? False Let i be ((-4)/(-10))/(2/1010). Suppose 2*s - 4*f - i = 0, 0 = 2*s - 5*s + 4*f + 297. Is s prime? False Suppose 0 = 4*p - 0*p + 44. Let a(y) = -5*y**2 - y + 12. Let c be a(-4). Let t = p - c. Is t a composite number? False Suppose -2*k + 2*m = 8, 4*m - 6*m + 13 = 3*k. Suppose 0 = o + k - 4. Is 165 + 0 - (o - 1) a prime number? True Let k = -13 + 15. Suppose -k*f + 57 = f. Is f prime? True Let q = 10 - 6. Suppose q*k = 5*m - m, 4*k + m + 5 = 0. Is k/1*-11*7 a prime number? False Let d(i) be the first derivative of 31*i**4/2 + i**3/3 - i**2 + i - 3. Is d(1) composite? True Is 1706/(16/6 - 2/3) a prime number? True Let b = -8963 + 18756. Is b a prime number? False Let s = 665 + -186. Is s composite? False Suppose 0 = -3*i + 592 + 1961. Is i composite? True Let d = -503 + 1248. Suppose 0 = -4*y + 9*y - d. Is y a composite number? False Let x(t) = -2*t**2 - 6*t - 6. Let y be x(-4). Let h = y - -21. Suppose -h*n + 60 = -3*n. Is n a composite number? True Let j be (-2)/(-8) - (-126)/(-24). Is -1 + (94 - (j + 3)) prime? False Suppose 0 = -5*d - 0*b - b - 1211, -3*d - 728 = 2*b. Let j = 355 + d. Suppose 0*h - h = -j. Is h composite? False Let d(n) = n**2 + n + 4. Let y be d(0). Suppose -3*o - y*z = -8*o + 170, -o = -2*z - 34. Suppose -u - 4*f + o = 1, -5*u - 2*f = -75. Is u a prime number? True Suppose 4*o = 2*o + 4. Suppose -4*m + 2*r = -158, 5 - 74 = -o*m - r. Is m composite? False Let b = -1 - -6. Suppose -2*z + 82 - 20 = -b*l, 3*l + 58 = 2*z. Is z composite? True Suppose 2*s + 0*o - 19 = 3*o, -3*o = 3*s + 9. Suppose 0 = 3*x + s*x - 310. Is x prime? False Let v = 2292 - 1577. Suppose 2*i = -w + v, 2*i - 560 - 130 = 4*w. Is i composite? True Suppose 0 = -4*f - 20, 3*n - 3*f - 40 - 2 = 0. Suppose 0 = 3*i - n, -x - 41 = -2*x - 2*i. Is x prime? False Suppose -2*q - 12 = q. Suppose 5*u - 19 - 11 = 0. Is u/q*38/(-3) prime? True Suppose 7*r + 5 = 2*r. Is (r - -240) + 1*-2 a composite number? True Suppose 0*k = k + 4*p - 271, -p + 1260 = 5*k. Is k composite? False Suppose -810 = -4*o + 3*n, 2*o + 7*n = 3*n + 416. Let m be ((-2)/(-6))/(4/o). Suppose 5*q = 132 - m. Is q composite? False Let z be (-1)/3 + 8/6. Let l(g) = -g**2 + g. Let m be l(z). Let j(d) = -d + 223. Is j(m) prime? True Let g(b) = 4*b**2 - 1. Let u(m) = -4*m + 3*m**2 - 2 + 2*m + 3*m. Let p(w) = 4*g(w) - 5*u(w). Is p(4) composite? False Suppose 4*n - 263 + 19 = 0. Is (2 - n)/(1/(-7)) a prime number? False Suppose q = -2*q + 6. Suppose 0*k - 31 = -4*v - 3*k, -q*v = -k - 3. Is v a prime number? False Suppose a + 27 = -9. Let x = a + 19. Let c = x + 66. Is c a prime number? False Let r = -6412 - -9093. Is r a composite number? True Suppose 0 = z + 5*k - 5, 2*z = k + 59 + 6. Let a = 2 - z. Let m = -15 - a. Is m a composite number? False Let b = 21 + -15. Let q(w) = w - 3. Let x be q(b). Let n(p) = 2*p**3 - 2*p**2 + 3*p - 2. Is n(x) composite? False Let t(r) = -r**3 - 7*r**2 + 2*r + 6. Let j be t(-7). Is (0 - (-4)/j)*-118 a prime number? True Let f(y) = y + 6. Let q be f(-6). Suppose -2*u = -3*s + 565, q = -s + 6*s + 3*u - 910. Is s a composite number? True Suppose 9*b = 55902 - 16959. Is b prime? True Suppose -4*y = f - 240, -2*f + 372 = 5*y + 69. Is y prime? True Let q be (2 - -2)*68/2. Let c = -23 + q. Suppose 0 = -4*s + 3*n + 489, -3*s = 3*n - 485 + c. Is s a prime number? False Suppose -4*c + 2*h + 3442 = -0*h, 4320 = 5*c + h. Is c a composite number? False Suppose -5*z - 4*f = -2208, z + f - 394 = 48. Suppose -5*d = 5*g - 585, 0*d + 3*d + z = 4*g. Is g a composite number? False Suppose 2*t + 2*n = 3*n + 674, -5*n - 1011 = -3*t. Is t a prime number? True Suppose 0*v + 6 = 2*v. Suppose -h - v*k - 124 = -664, h - 532 = -5*k. Let q = h + -329. Is q prime? True Let k be 1/((4 + -1)/3). Is k + 0 + 11*30 a prime number? True Let z = 678 - 385. Is z a prime number? True Suppose -9 = -3*w + p, 7*w - 2*w - 16 = 2*p. Let x = 8 - 5. Suppose w*n = -x*n + 475. Is n a composite number? True Let l(t) = -t**2 + 11*t - 7. Let w be l(10). Let j(s) = 27*s + 2. Let q be j(2). Suppose q = h + w. Is h composite? False Let f(l) = -l + 8. Let y(s) = -s + 8. Let p(w) = -5*f(w) + 6*y(w). Let t be p(4). Suppose -5*x + 943 = t*m, x + 5*m = 3*x - 397. Is x prime? True Let p be -3*(-2)/(-4)*-4. Suppose -8*b + 430 = -p*b. Is b a prime number? False Let f = 7713 - 4676. Is f a prime number? True Suppose 4*p + 3 = 7. Suppose 1 = g - 1. Is g + (p - -42) + 1 a composite number? True Suppose 0 = 2*b - 2*i + 142 - 428, -2*i - 580 = -4*b. Let o = 214 - b. Is o a prime number? True Let o(j) = -j**3 + 11*j**2 + 4*j + 7. Is o(11) a prime number? False Suppose 6*b + 4*b = 20690. Is b prime? True Let a = 596 - 91. Is a composite? True Let p(x) = 3*x**2 - 12*x - 8. Is p(9) composite? False Let d(u) = 2*u**2 - 10*u + 45. Is d(-11) prime? True Let f(m) = -7*m**3 + 3*m**2 - 2*m + 2. Let i be f(3). Let l = i - -253. Is l a prime number? False Let o(j) = -5 + 2 - 1 + 0 + 27*j. Is o(7) prime? False Is 11/((2/(-222))/((-5)/15)) a prime number? False Let k = -1 - -3. Let b(y) = -y**3 - y**2 + y + 65. Let c be b(0). Suppose 0 = s + u - 0*u - 60, c = s + k*u. Is s prime? False Let x be (-6)/(-3) - (0 + -1). Suppose -x*r = 2*o - 178, -o + 4*r + 206 = o. Let g = 190 - o. Is g a prime number? False Let p(v) = 30*v + 5. Let h be p(4). Suppose h = 4*m - 151. Is m prime? False Suppose 6*j - 2880 = -2*l + 3*j, 3*j + 1431 = l. Is l a composite number? True Let g be 36/8 + 4/8. Suppose -886 = -g*d - 2*p + 6*p, 5*d = -4*p + 894. Is d a composite number? True Let h(m) = -8*m + 3. Let l be h(-3). Suppose 0 = 4*r - 5*r -
{ "pile_set_name": "DM Mathematics" }
tens digit of -1*3/(g/40)? 2 Let w(d) = d. Let r be w(4). Suppose r*m + 2*l + 2 = -0*m, -4*l = -5*m + 17. What is the units digit of m? 1 Let n(u) = u**2 + 7*u - 22. What is the units digit of n(-15)? 8 Let b be (-2 - 3)*27/(-3). Suppose 0 = -3*a - 6 + b. What is the tens digit of a? 1 Let v(a) = -a**3 - 3*a**2 - a - 1. Let x be v(-3). Suppose 3*c - d = -2*d + 136, 4*c - d = 172. Suppose x*y = 6*y - c. What is the tens digit of y? 1 Let b = -47 + 82. What is the units digit of b? 5 Suppose 2*g - 28 = 34. What is the units digit of g? 1 Suppose 35 = 5*g + v, -21 = -3*g - v - v. Let q = 9 - g. Suppose q*x - x = 3. What is the units digit of x? 3 Let s = -4 - -48. What is the units digit of s? 4 Let o(m) = m**2 - 7*m + 9. Suppose 5*f + 0*f - 30 = 0. Let x be f/((-1)/1 + 2). What is the units digit of o(x)? 3 Suppose -3*c + 174 = -0*c. What is the tens digit of c? 5 Suppose 16 + 5 = q. Suppose -q = -z + 3. What is the units digit of z? 4 Suppose -1 = -i + 10. What is the units digit of i? 1 Let t = 20 + -36. Let r be t/12*(-18)/4. Suppose 3*i - r = -h + 4, -i + h = -6. What is the units digit of i? 4 Suppose 0 = -2*v - 2*v. Suppose v*p = -p + 6. What is the units digit of p? 6 Let z(r) = 2*r - 10. Let c be z(7). Suppose k = c*k + 108. Let x = k - -51. What is the tens digit of x? 1 Suppose -297 = -6*a + 3*a + 3*q, -a + 2*q + 95 = 0. What is the hundreds digit of a? 1 Let t(n) = -n**2 - 5*n - 1. Let w be t(-5). Let y = 14 + w. What is the units digit of y? 3 Let q = 135 + -92. What is the tens digit of q? 4 Suppose 3*u + 22 = 4*p + u, -2*p + 14 = -2*u. What is the units digit of p/(-3)*(-3)/1? 4 Suppose n = -3*u - 16 + 42, -n - u = -30. What is the tens digit of n? 3 Let x(h) = 3*h**2 + 1. Let d be x(-1). Suppose -2*b + d*b - 8 = 0. Suppose 3*y - 2*j = 12 + 2, 0 = 4*y + j - b. What is the units digit of y? 2 Let a be ((108/(-3))/(-2))/2. Let y(w) = 2*w**2 - 4*w - 1. Let h be y(3). Suppose -4*d + a*d = h. What is the units digit of d? 1 Let m(d) = 23 - d - 23 - 2*d**3. What is the units digit of m(-1)? 3 Suppose 0 = 2*q + 1 + 3. What is the tens digit of ((-32)/8)/(q/8)? 1 Suppose a + s = 63, -370 = -4*a + s - 128. What is the units digit of a? 1 Let l(k) = 24*k**2 - k. Let t be l(-1). Suppose -3*s - 4*n = -17 - 16, -4*s = -n - t. Let r = s + -3. What is the units digit of r? 4 Suppose q - 43 = 5*k - 3*q, 0 = -4*q - 12. What is the units digit of (k/(-3))/(3/9)? 1 What is the tens digit of (1/1)/(-3*(-4)/708)? 5 Suppose 3*r = 2*t + 2*t - 42, 3*t + 3*r = 21. What is the units digit of t? 9 Suppose 11 + 8 = u. What is the units digit of u? 9 Suppose 5*j - 6 = 3*j. What is the units digit of j? 3 Suppose 3*f = -4*h + 3, 0 = -5*h - f - 0*f + 12. Suppose h*v + 8 = 4*v. What is the units digit of v? 8 Suppose 70 = 4*t - 2*v, t - 3*v - 7 = 3. What is the units digit of t? 9 Let p be 2 + -1 - (-3 + 2). Suppose 5*f - o = p*f + 18, 17 = 2*f + o. What is the units digit of f? 7 What is the tens digit of (-88)/3*(-33)/22? 4 Let j be -1*1 + (5 - 4). Let d = j - -1. What is the units digit of d? 1 Let m be 5 - 2/((-2)/1). What is the tens digit of m/(-21) + (-212)/(-7)? 3 Let k(h) = 5*h**3 - 1. Let l be k(-1). Let p(x) = -x - 4. What is the units digit of p(l)? 2 What is the units digit of 3/(-6)*(5 + -65)? 0 Let i = 1 - -15. Suppose 3*g + g = i. What is the units digit of g? 4 Let o = 28 - -18. What is the units digit of o? 6 Let r be 45/(-6) + 1/2. Let f(p) = p**2 - 8*p + 11. Let o(b) = -5*b**2 + 33*b - 45. Let s(x) = 9*f(x) + 2*o(x). What is the units digit of s(r)? 2 Let g = 9 - 11. What is the units digit of (1 + 2*g)/(-1)? 3 Let h = 0 + -4. Let y(s) = -s**3 - 4*s**2 - 4*s + 4. What is the units digit of y(h)? 0 Suppose -6*n = -n. Let x = -3 - n. Let f(q) = -3*q - 1. What is the units digit of f(x)? 8 Suppose 0*z + z = 0. Suppose z = 3*c + 2*u + 6, -13 = c + 3*u - 4. Suppose -2*r - r + 24 = c. What is the units digit of r? 8 Suppose -2*b = 3*b - 2*q - 71, 0 = -5*q + 10. Let s = b + -6. What is the units digit of s? 9 What is the hundreds digit of 201 - ((-1)/(-1))/(1/2)? 1 Let x(u) = 2*u**2 - 12*u + 29. What is the tens digit of x(9)? 8 Suppose 6*v - 4*v = -3*q + 1, 5*v + 20 = 0. What is the units digit of 321/9 + 1/q? 6 Suppose 0 = -5*h + 3*h - 2. Let c = h + 6. What is the units digit of c? 5 Let l = -180 - -303. What is the tens digit of l? 2 Let i(p) = p - 8. Let b(m) = -m**2 - 6*m - 3. Let s be b(-6). Let v(o) = 3. Let l(t) = s*i(t) - 8*v(t). What is the units digit of l(-1)? 3 Suppose -13 + 40 = 3*y. What is the units digit of ((-24)/y)/((-4)/18)? 2 Suppose -5*r - 4*i + 135 = 0, 2*i + 37 + 45 = 4*r. Let w = -7 - -20. Let p = r - w. What is the units digit of p? 0 Let m(j) = -j + 3. Let o(u) = u**2 + 1. Let h(v) = -m(v) + o(v). Let t be h(-3). Suppose a - 7 = l, 5*a + t*l = l + 3. What is the units digit of a? 3 Let u(k) = 36*k + 2. What is the units digit of u(1)? 8 Suppose 0*q - 90 = -5*q. Suppose r + 4 = q. What is the tens digit of r? 1 Suppose r + 4*t - 7 = 0, 3*t + 21 = r - 0*t. What is the tens digit of r? 1 Suppose 22*s - 2100 = 2*s. What is the hundreds digit of s? 1 Let a(s) = s**2 + 7*s + 2. Let v be a(-3). Let j be ((-2)/3)/(v/15). Suppose -5*y - j + 46 = 0. What is the units digit of y? 9 Suppose 0 = 4*d - 0*d - 168. What is the tens digit of d? 4 Suppose 1 - 9 = -4*i. Suppose 0 = i*w - 0*w - 8. Suppose -g - g + w = 0, -2*p + 3*g + 12 = 0. What is the units digit of p? 9 Suppose 2*k - 27 = -3*q, 0*q + 2*q - 26 = -4*k. Suppose -v - 4*i = -2*v + q, -67 = -5*v + 4*i. What is the tens digit of v? 1 Suppose 2*k - 111 + 23 = 0. Suppose -k = -2*z - 0*z. What is the tens digit of z? 2 Let j(h) = h**2 + 5*h + 7. Let m be j(-5). Let n(b) = -b + 16. Let z be n(11). Suppose z*l = m + 43. What is the tens digit of l? 1 Suppose -d - 1 + 20 = 0. Suppose -4*o = u - 2*o - d, 3*u = 3*o + 30. What is the units digit of u? 3 Suppose 5*z = t + 4*t + 165, 4*z + t - 142 = 0. What is the tens digit of z? 3 Let c(m) = m**2 + 11*m - 8. Let a be c(-12). Suppose d = -4*k + 38, 2*d - a*k + k = 65. What is the units digit of d? 4 Let d(l) be the first derivative of 2*l**3/3 - l**2/2 + 7*l + 3. Let g be d(5). Suppose -p = 0, -4*m - 2*p + p = -g. What is the tens digit of m? 1 Let k be (1/4)/(2/16). Suppose g + 0*q = -2*q + 22, -53 = -k*g + 5*q. What is the tens digit of g? 2 Let z be 2 - 19 - 0/3. Suppose -o + y = -35, -2*o + 173 = 3*o - 4*y. Let q = o + z. What is the units digit of q? 6 Suppose 0 = -4*x + j + 12, 2*x + 4*j + 13 - 1 = 0. Suppose 35 = x*m - 27. What is the units digit of m? 1 Let p = 228 + -136. What is the tens digit of p? 9 What is the hundreds digit of 93/1*(-16)/(-12)? 1 What is the tens digit of 106/2 - (-3)/(6/(-6))? 5 Suppose -g - 2 = g, -3*g - 202 = -c. What is the hundreds digit of c? 1 Suppose -16 = 2*q - 22. What is the units digit of q? 3 Let p be 99/6 - (-1)/2. Let n(g) = -7*g**2 - g. Let d be n(-1). Let b = d + p. What is the units digit of b? 1 Suppose a = 5*b - 31, 10 - 37 = 2*a - 3*b. What is the tens digit of 134/6 + 2/a? 2 Suppose -l = -0*l - 29. Suppose 3*j - 103 = 4*w, 5*j + l = -2*w + 10. What is the units digit of (-246)/w - 8/44? 1 Suppose 0 = -4*r - 2*n + 36, 5*r + n - 51 = -0*n. Suppose 0 = 3*j - 13 - r. What is the units digit of j? 8 Let c(s) = 6*s**2 - 27*s + 6. What is the units digit of c(5)? 1 Let j(f) = 2*f**3 + f**2 - 2*f - 3. Let o be j(3). Suppose 2*p + p = o. What is the units digit of p? 8 Let b(i) = -2*i - 2*i + i - 9. Let r be (-2 - -1)/((-2)/(-12)). What is the units digit of b(r)? 9 Let b(y) = y**3 + 2*y - 1. Suppose 0 = -3*l - 5*m - 2, 5*l + 3*m = -2*m. Let o be b(l). Suppose 0*s = o*s - 12. What is the units digit of s? 6 Suppose 3*l + 0 = -2*q + 12, 0 = -q + 4*l + 28. What is the units digit of q? 2 Let m(s) = -75*s**3 - 2*s**2 - 4*s - 2. What is the tens digit of m(-1)? 7 Let k(q) = -q**2 - 4*q + 1. Let n be k(-3). Suppose -n*l + 58 = -6. What is the units digit of l? 6 Let p = -175 - -337. What is the tens digit of p? 6 Suppose -5*n + 22 = 2*i - 43, -13 = -n + 2*i. What is the units digit of n? 3 Suppose -2*m + 67 = -u - 2*u, -4*m + 3*u = -149. Let w = 58 - m. What is the tens digit of w? 1 Let p = 38 + 26. What is the tens digit of p? 6 Let u = -7 - -1. Let a(k) = -k**3 - 5*k**2 + 7*k + 8. What is the
{ "pile_set_name": "DM Mathematics" }
15/(-30) - g/4. Factor -2*c + 3*c - 16*c + 5*c**3 - y. 5*(c - 2)*(c + 1)**2 Solve -43/5*n**3 + 0*n + 44/5*n**2 - 1/5*n**4 + 0 = 0. -44, 0, 1 Let p = -635353/3 - -211786. Let 2/3*q**2 + 0 - p*q = 0. What is q? 0, 5/2 Let o(t) be the first derivative of -4*t**3/15 - 132*t**2/5 + 268*t/5 - 361. Determine w, given that o(w) = 0. -67, 1 Let g(a) = 2*a**2 - 88*a - 84. Let q be g(45). Let p(f) be the second derivative of 2/15*f**q - 2*f**2 + 0*f**4 - 16*f + 0 + 4/3*f**3 - 2/5*f**5. Factor p(h). 4*(h - 1)**3*(h + 1) Factor -5/2*d**3 + 5/2*d**2 - 225/2 + 105/2*d. -5*(d - 3)**2*(d + 5)/2 Let x(t) be the third derivative of -2*t**7/105 + 13*t**6/120 + 59*t**5/20 + 93*t**4/8 - 27*t**3/2 + 26*t**2 + 31*t. Factor x(h). -(h - 9)*(h + 3)**2*(4*h - 1) Let q(c) be the first derivative of -111*c**5/5 + 3*c**4/4 + 111*c**3 + 213*c**2/2 - 6*c + 7434. Determine i so that q(i) = 0. -1, 1/37, 2 Let m(a) be the first derivative of 4*a**3/15 + 1404*a**2/5 - 2812*a/5 + 7291. Factor m(r). 4*(r - 1)*(r + 703)/5 Let a(x) be the second derivative of -5/3*x**3 + 0 + 0*x**2 - 1/90*x**5 - 1/540*x**6 + 24*x - 1/36*x**4. Let c(b) be the second derivative of a(b). Factor c(d). -2*(d + 1)**2/3 Let h(v) = v**3 - 16*v**2 - 16*v - 14. Let t be h(17). Solve 3*r**t - 16*r**4 + 5*r**2 + 15*r + 18*r**4 - 21*r**2 - 3 - 1 = 0. -4, 1/2, 1 Let l(j) be the first derivative of j**6/540 + 17*j**5/90 + 289*j**4/36 + j**3/3 + 32*j + 61. Let n(v) be the third derivative of l(v). Solve n(c) = 0 for c. -17 Let k = 1252/183 + -764/183. Factor 3*q - k - 1/3*q**2. -(q - 8)*(q - 1)/3 Factor -326/3*x + 329 - 1/3*x**2. -(x - 3)*(x + 329)/3 Solve 0 - 2/11*a**4 + 0*a + 40/11*a**3 - 150/11*a**2 = 0. 0, 5, 15 Let s(j) be the third derivative of j**5/180 - 125*j**4/36 + 1225*j**3/18 - 140*j**2 + 2*j. Suppose s(o) = 0. Calculate o. 5, 245 Factor -3/2*q**4 - 378*q**2 - 51*q**3 + 972*q + 0. -3*q*(q - 2)*(q + 18)**2/2 Let u be 2 + ((-39)/6)/((-1)/2). Let f = 17 - u. Let 208*y**f - 208*y**2 - 5*y**3 = 0. Calculate y. 0 Let n(c) be the third derivative of -c**5/20 + 8*c**4 + 10*c**2 + 136. Factor n(o). -3*o*(o - 64) Let j = 125455 + -125449. Factor -j - 6075/2*d**2 - 270*d. -3*(45*d + 2)**2/2 Let f = -1211894 - -7271365/6. Factor 0 - f*l**2 - 13/6*l. -l*(l + 13)/6 Factor -1/6*c**3 + 4 - 1/2*c**2 + 5/3*c. -(c - 3)*(c + 2)*(c + 4)/6 Let z(a) be the second derivative of 209/12*a**4 - 1/42*a**7 + 50*a**2 + 190*a + 0 + 1/2*a**6 - 83/20*a**5 - 40*a**3. Factor z(n). -(n - 5)**2*(n - 2)**2*(n - 1) Let i(z) = 11*z + 4. Let a be i(-1). Let p be 6/84*-4*a. Factor -3/5*v**3 + 0 + 1/5*v**5 - v**p + 1/5*v**4 - 2/5*v. v*(v - 2)*(v + 1)**3/5 Let g(v) be the first derivative of 5*v**6/6 - 3*v**5/2 - 11*v**4/12 + 2*v**3 + 2*v**2 - 33*v + 156. Let n(l) be the first derivative of g(l). Factor n(z). (z - 1)**2*(5*z + 2)**2 Let c = -148/21 - -50/7. Let d be (11284/392 + -29)/(2 - (-11)/(-4)). Suppose 2/21*j**4 + 4/21 + c*j**3 - d*j**2 - 2/21*j = 0. What is j? -2, -1, 1 Let u(s) = 19*s**3 + 139*s**2 - 6017*s - 108427. Let a(m) = -10*m**3 - 70*m**2 + 3010*m + 54214. Let x(w) = -11*a(w) - 6*u(w). Factor x(c). -4*(c - 28)*(c + 22)**2 Let s be (-1033 - -1045) + (-204)/22 + -2. Factor 0 + s*b**4 + 12/11*b**3 + 2/11*b**5 + 8/11*b**2 + 2/11*b. 2*b*(b + 1)**4/11 Suppose 0 = 4*l + 3*i - 150 - 21, 4*l + i = 161. Suppose -4*w = -w - l. Factor 5*d**4 + 18*d + 42*d + 7 + 65*d**2 + 30*d**3 + w. 5*(d + 1)**2*(d + 2)**2 Let n be (-38)/475 - 51/(-450). Let o(t) be the third derivative of 0*t**4 + 0*t**3 + 0 - 15*t**2 + 0*t + 3/40*t**6 - 1/30*t**5 - n*t**7. Solve o(v) = 0. 0, 2/7, 1 Let p(v) be the second derivative of -v**7/210 - v**6/30 - v**5/20 + 197*v**2/2 - 10*v - 1. Let n(u) be the first derivative of p(u). Factor n(j). -j**2*(j + 1)*(j + 3) Let w(g) = g**3 - 496*g**2 + 62499*g + 63051. Let f(i) = i**2 + 10. Let l(h) = -15*f(h) + 3*w(h). Factor l(c). 3*(c - 251)**2*(c + 1) Let o be 3/((0 - -6)/6). Factor -1044*j - 349*j**3 + 84*j**4 - 208*j**2 + 1400*j**2 - 4*j**5 + 324 - 203*j**o. -4*(j - 9)**2*(j - 1)**3 Let h be 6 + -6 + -5 + -23. Let s be 16/h - 605/(-140). Solve 5/4*n - 5*n**3 + 0 - 5/2*n**4 + 5/2*n**2 + s*n**5 = 0 for n. -1, -1/3, 0, 1 Let f = 90 + -85. Suppose 4*p - 134 = -2*k, 6*p + 296 = f*k + 3*p. Factor b**4 + 4 + 3*b**3 - k*b + 6*b**2 - 3*b**4 + 51*b - b**3. -2*(b - 1)**3*(b + 2) Let z(m) be the third derivative of -441/2*m**3 + 1 - 21/4*m**4 + 0*m + 74*m**2 - 1/20*m**5. Find y, given that z(y) = 0. -21 Let q(w) = -2*w**5 + 53*w**4 + 1568*w**3 - 43892*w**2 - 3. Let v(f) = 4*f**5 - 105*f**4 - 3136*f**3 + 87780*f**2 + 7. Let u(y) = -7*q(y) - 3*v(y). Factor u(d). 2*d**2*(d - 28)**2*(d + 28) Let y = 2879/9168 + -56/191. Let m(l) be the second derivative of y*l**4 + 0*l**2 + 1/80*l**5 - 1/120*l**6 - 1/168*l**7 + 0*l**3 + 0 - 21*l. Factor m(t). -t**2*(t - 1)*(t + 1)**2/4 What is j in -864/7 + 4/7*j**4 - 100/7*j**3 - 240/7*j + 520/7*j**2 = 0? -1, 2, 6, 18 What is x in 33*x**3 - 36*x**4 + 51*x**2 + 108*x + 24 + 26*x**2 + 162*x**2 - 101*x**2 - 15*x**5 = 0? -2, -1, -2/5, 2 Let s(v) be the third derivative of -31/12*v**4 + 961/3*v**3 + 0 + 1/120*v**5 - 4*v**2 + 32*v. Determine p so that s(p) = 0. 62 Let t = -1971 + 6272/3. Let a = t - 119. Find d, given that -a*d + 0 + 4/3*d**2 - 4/3*d**4 + 2/3*d**3 = 0. -1, 0, 1/2, 1 Suppose 0 = 5*p - 1451*i + 1454*i - 28, 0 = -4*p - 2*i + 20. Factor 2/7*b**2 - 36/7 - p*b. 2*(b - 9)*(b + 2)/7 Let m(t) be the third derivative of -t**5/240 - 11*t**4/32 + 17*t**3/12 + t**2 - 94*t. Determine k so that m(k) = 0. -34, 1 Factor -11/6*d**3 + 1/2*d**4 + 1/2*d + 5/6*d**2 + 0. d*(d - 3)*(d - 1)*(3*d + 1)/6 Let -5/4*y**5 + 645/4*y - 7/2*y**2 - 76*y**3 - 117/2 - 22*y**4 = 0. Calculate y. -13, -3, 2/5, 1 Let b(z) = z**2 - 9. Let n be b(-3). Let l = 121 + -117. Solve n*d**2 + 0*d**2 - 3*d**l - 3*d**2 + 21*d**3 - 27*d**3 = 0. -1, 0 Let s(k) be the first derivative of 52 + 8/3*k - 1/9*k**3 + 1/3*k**2. Factor s(q). -(q - 4)*(q + 2)/3 Factor -8/9*g**2 - 2/9*g**3 + 8/9 + 2/9*g. -2*(g - 1)*(g + 1)*(g + 4)/9 Let f be 5/((-20)/12) - (-31 - -25). Let b(g) be the first derivative of -3 + 0*g - 3*g**4 + 4/5*g**5 - 2*g**2 + 4*g**f. Suppose b(d) = 0. What is d? 0, 1 Suppose 179*p + 48 = 191*p. Suppose l = -l + 6. Let 195 + 3*x**5 - 195 - l*x**p - 3*x**3 + 3*x**2 = 0. What is x? -1, 0, 1 Let z(g) = -26*g**4 + 3*g**4 + 7 + 8*g**4 - 25*g**3 - 88*g**2. Let c(x) = 2*x**4 + x**3 + x**2 - 1. Let k(w) = -21*c(w) - 3*z(w). Let k(b) = 0. What is b? -9, 0 Let r(f) be the second derivative of -f**6/60 - 153*f**5/20 - 2601*f**4/2 - 88434*f**3 + 151*f. Let r(o) = 0. What is o? -102, 0 Suppose 42*q - 52 = 7508. Let b be -1 - 1 - (-400)/q. Solve b*y**3 + 0 - 2/3*y**2 + 4/9*y = 0 for y. 0, 1, 2 Let k = -1124654/1791849 - 44/4297. Let h = 4/139 - k. Factor -26/3*f**2 + h*f**3 - 24 + 32*f. 2*(f - 6)**2*(f - 1)/3 Let c(w) = w**3 + w - 1. Let h be (-4)/(-8)*1*2. Let p(u) = -4*u**4 + 8*u**3 + 4*u - 4. Let x(y) = h*p(y) - 4*c(y). Solve x(l) = 0 for l. 0, 1 Let j be 66*5/30 + -9. Factor -1/5*z**j + 7/5 + 6/5*z. -(z - 7)*(z + 1)/5 Let s(k) be the first derivative of -1/5*k**5 + 0*k + 1/2*k**4 + 1/3*k**3 - k**2 + 94. Factor s(m). -m*(m - 2)*(m - 1)*(m + 1) Let d(m) be the third derivative of 2/35*m**7 - 2/15*m**5 + 2/3*m**4 - 2/3*m**3 - 99*m**2 - 2/15*m**6 + 0*m + 0. Factor d(k). 4*(k - 1)**2*(k + 1)*(3*k - 1) Let n(f) be the first derivative of 6/5*f**2 + 2/3*f**3 + 2/5*f + 22. Factor n(y). 2*(y + 1)*(5*y + 1)/5 Suppose m = -2, -o - 8*m + 10*m = -6. Determine t, given that o*t**2 - 24 - 6*t + 24 - 8*t - 8*t = 0. 0, 11 Let g be ((-81)/(-30) - 9/45)*6. Determine q, given that 55*q**2 + 15*q - 3*q**4 - g*q**3 - 2*q**4 + 11500 - 11550 = 0. -5, -1, 1, 2 Let m be 37/57 - (-2394)/(-7581). Determine p so that -m*p**2 - 147 + 14*p = 0. 21 Factor 0 + 655*u - 1/3*u**2. -u*(u - 1965)/3 Let g be 6/10 + 123*(-14)/(-105). Let l be 3/(-5)*((g - 12) + -10). Let -6*u**2 + 3/2*u**l + 15/2*u - 3 = 0. Calculate u. 1, 2 Factor 0*b + 13/4*b**3 + 5/12*b**5 - 3/4*b**2 + 0 + 29/12*b**4. b**2*(b + 3)**2*(5*b - 1)/12 Let s(i) be the first derivative of -2*i**6/3 - 52*i**5/5 - 58*i**4 - 352*i**3/3 + 64*i**2 + 512*i + 993. Factor s(v). -4*(v - 1)*(v + 2)*(v + 4)**3 Let j(v) = -2*v**2 - 10*v + 14. Let z be j(-7). Let b = z + 18. Factor 2*o**2 + 3*o + b*o + 3*o**2 + o**3 + 3 + 0*o. (o + 1)**2
{ "pile_set_name": "DM Mathematics" }
or d. -1 Suppose 3*x - 11 = 5*s - 2, 2*x + 3*s - 6 = 0. Solve x*w + 4 = 4*u, -20 = -3*w - 2*w for u. 4 Let s = 4 - 5. Let p be (-18)/15*(-5)/(-3). Let q be s + 0 + p + 6. Solve 5*l + 2 = 2*b - 4*b, l = q*b + 3 for l. 0 Suppose -12*u - 289 = -193. Suppose 5*x - 2*x - 36 = 2*s, -3*s = 3*x - 36. Let z = u + x. Solve 0 = v + q - 2, -z*q + 1 = 5*v - 11 for v. 4 Let a(h) = -h**3 + 13*h**2 - 14*h + 26. Let k be a(12). Solve -5*f = -k*x - 26, 0*x + 9 = -3*x for f. 4 Suppose 0 = -3*r - 6 - 6, 5*s - 2*r - 8 = 0. Suppose -5*o = -5*q, 2*q + s*q = 5*o. Solve o = -0*k + k + 5*c - 23, -24 = 2*k - 4*c for k. -2 Let x = -20 - -23. Suppose -2*a + 13 = j, -x*j = -5*a + 8 - 3. Solve -m + 0*m = c + a, -3*m - 10 = 5*c for m. -5 Let s(g) = -g**2 - 7*g - 7. Let x be s(-4). Suppose t + 3 = x. Solve 24 = 3*r + 5*j, -2*r + 0*j = t*j - 12 for r. 3 Let s = -86 + 88. Solve -5*h - 17 = -z, 4*h + h + s*z + 26 = 0 for h. -4 Let j(h) be the first derivative of h**2/2 + 24*h + 7. Let g be j(-9). Let l = -11 + g. Solve -u + 2*v + 13 = -l*u, -2*u + 3*v = 0 for u. -3 Let x(o) be the third derivative of 5*o**4/24 - 5*o**3/6 + 6*o**2. Let b be x(2). Solve 3*m = b*c + 19, 2*c - 7*c - 21 = -2*m for m. -2 Suppose 0 = 35*z - 41*z + 36. Solve -z*i = 5*q - 7*i + 1, 4*q + 5*i = -24 for q. -1 Suppose 0*z + 20 = 2*z. Suppose -2*s - z = -4*s. Solve 4*v - u - 18 = 4*u, -4*v = s*u + 2 for v. 2 Suppose -o = 2*a - 35, -a + o + o = -25. Solve c = -4*m + a, -3*m + c + 11 = -m for m. 5 Let n be (-5 + 0)*3/(-3). Suppose -8*x + 3 = -n*x. Suppose 4*s + 11 = 5*p, -p + 2*s + 0 + x = 0. Solve -5*v - p*u - 5 = 0, 0*v - 4*u = -2*v - 2 for v. -1 Let p be -5 - (-1 + 0)*2. Let x(d) = -26*d**2 + d + d**2 + 24*d**2 - 3*d - 2*d + 1. Let n be x(p). Solve 4*z + 2 = 3*a - 1, 5*a - n*z = 13 for a. 5 Let q be 1/(-5) - 147/(-35). Suppose s = -3*s - 8. Let r = s + 7. Solve q*c + 5*f = -25, -2 = -r*c + 2*f + 8 for c. 0 Suppose 0 = -4*i - 10 + 18. Suppose -4*u + 8 = 3*d, -5*u + 4 = 2*d - 13. Solve -i*h - 3*h = 20, 0 = u*z + 4*h + 31 for z. -3 Let m(n) = -n**3 + 24*n**2 + 2*n - 44. Let o(w) = -2*w**2 + 4*w + 24. Let d be o(0). Let z be m(d). Solve -2*b = 2*y + y + 3, -b = z*y - 1 for b. -3 Let k = -33 + 19. Let u be (2/3)/(k/63). Let s be (-9)/u - (1 - 0). Solve 0*o - 5*o = g + 28, -s*g = 4*o + 26 for g. -3 Let x(i) = -2 - 7*i**2 + 0*i**2 - i + 0*i + 8*i**2. Let z be x(-4). Suppose 10 = -4*b + z. Solve g + b*a = 8, -4 = -2*a + 6 for g. -2 Let u(d) = d**3 + 6*d**2 + 4*d. Let o be u(-5). Solve -11 = -k + 4*k - 2*b, 2*b = o*k + 21 for k. -5 Let z(u) = -2*u**2 - u. Let w be (-2)/4*(1 + -1). Let s be z(w). Solve s = 5*y - 6*g + 3*g + 35, 0 = 4*y + 3*g + 1 for y. -4 Let m(z) = -z**3 + 3*z**2 + 3*z - 3. Let j be m(3). Suppose 5*y - 36 + j = 0. Let q = y + -6. Solve q*a + f = -2*a + 4, -f + 2 = a for a. 2 Let l(n) be the first derivative of 7/4*n**4 + 0*n**2 + 0*n + 0*n**3 - 3. Let x be l(1). Solve 4*p - 8 = 4*j, -4*p + x = -2*j + 3 for j. -2 Let z = 1539 + -1533. Solve -2*r - 2*n - 12 = 0, -2*r + 3*n = z*n + 17 for r. -1 Suppose -2*l + 3 + 31 = 5*o, -13 = -2*o - l. Solve -28 = -5*c - 0*t + 3*t, -c = -3*t - o for c. 5 Let b(g) = 9*g**2 + g**3 + 26*g - 44*g + 22*g - 9. Let t be b(-8). Suppose -4*p = 4*h, 8*p - 3*p = -2*h - 6. Solve -3*a + h*c + t = -0*c, -4*a + 4 = 4*c for a. 5 Let a be ((-4)/(-5))/((-4)/(-10)). Let g = 3 - a. Let i(q) = 7*q - 37. Let w be i(6). Solve -5*c + 24 = w*t - g, 4*t - 20 = -2*c for t. 5 Let l = -257 + 262. Let a be 14/(-4) + 2/4. Let g = l + a. Solve b + 3*b = -3*u + 26, -5*b = g*u - 29 for u. 2 Let y = 82 + -53. Suppose 20*n - y - 51 = 0. Solve -2*r - n*p + 18 = 0, 2*p - 2 = 5*r + 1 for r. 1 Let u(y) = -y**3 + 9*y**2 - 11*y + 24. Let k be u(8). Solve -5*j - 2*a - 4 + 15 = k, -5*a + 5 = 5*j for j. 3 Let p = 541 - 539. Solve -4*i + 1 = -2*x + 9, 2*i + p*x = 8 for i. 0 Let r = -665 - -668. Solve 3*w + h = -7, -5*h - r = -28 for w. -4 Let o(g) = 9*g - 25. Let a be o(9). Let i = 58 - a. Solve 7 = -2*p - 0*x + 3*x, -i*p + x = 5 for p. -2 Let r(w) = -4*w**3 + 21*w**2 - 10*w + 31. Let z be r(5). Let n = 11 - 5. Solve -4*l = -5*i - z, -3*l - 2*i - n = -l for l. -1 Let t be (-24)/16*-1*(-4)/(-3). Solve 0 = t*c - r + 9, 2*c - r = -3*c - 24 for c. -5 Suppose j = -2*j - 51. Let o = j + 22. Suppose 2*z + 18 = 5*s + z, 5*s + 3*z = 26. Solve 3*v + s*q - 24 = 7*v, -20 = 5*v + o*q for v. -5 Suppose -d + 17 = 3*i, -2*i = -2*d + 277 - 299. Solve 3*o = 5*b - 1, 4*o - b = -0*o - i for o. -2 Let k be (16/12)/((0 - -7)/21). Solve -21 = k*a + 3*o, -3*o - 3 = -a - o for a. -3 Let i(v) be the first derivative of v**2 - 22*v + 11. Let x be i(15). Solve n = t - 9, 0 = n + 3*t - x + 1 for n. -5 Suppose 4*y = 4*c + 3 + 5, 5*y = 3*c + 16. Suppose -c*t + 6*t - 9 = 0. Suppose -t = -j + 3. Solve -2*m = -3*p + j*p, -5*m + 15 = 0 for p. -2 Suppose -3*j + 8 = -5*f, 95 = 5*j - 3*f + 71. Solve h = 2*s + 6, 0 = -4*h + 3*s + 25 - j for h. 4 Suppose -3*h = -3*h + h. Solve -2*i + h = -10, -5*g = i for g. -1 Let i(f) = f**2 + 11*f - 9. Let y be i(-12). Let w(k) = k**2 - 7. Let m be w(y). Solve -2*q - m*z + 25 - 9 = 0, 0 = -4*q - 3*z + 28 for q. 4 Let y = -244 - -246. Solve 0 = 4*b - 2*p - 2, -4 = -5*b + 3*b + y*p for b. -1 Let v(q) = q**3 - 6*q**2 - 3*q - 24. Let m be v(7). Solve -5*g = m*y - 15, -2*y + 3*g + 8 = -y for y. 5 Let o = 22 - 15. Solve 2*d = 5*h - o, 5*h = d - 6*d for d. -1 Suppose 5*g - 3*h + 12 = 39, 4*g = -3*h. Suppose 4*u - l = 36, 2*l + 24 = 4*u - 8. Let s be u/85 + 66/17. Solve 2*t - 8 = s*t + 4*a, 0 = g*a for t. -4 Let t = 23 - 17. Let j = 7 + t. Solve -3*b = c + j + 1, 4*b = 2*c - 12 for c. -2 Let h = 405 - 402. Solve -i + 5*o + 13 = -5*i, i = h*o + 1 for i. -2 Let z = -39 - -49. Let j be 9/(-6)*(-2 + z/15). Solve -10 = j*b + 5*p, 4*p + 8 = -3*b - 0*p for b. 0 Let r(n) = -7*n**3 + 3*n + 2. Let p be r(-1). Let b be ((p/(-4))/(-1))/((-1)/(-2)). Solve -2*h - 19 = 3*k - b, 5*h = 4*k - 17 for h. -5 Suppose 1 = 12*w + 1. Solve -3*v - 15 = w, -3*f + v + 10 = -4*v for f. -5 Suppose 57*y = 25*y + 96. Solve -y*x + 10 = -2*t, -3*t = -7*t - 3*x + 16 for t. 1 Let s be 1 - ((-1)/(-3) + (-80)/6). Suppose 0 = 6*p - s - 16. Solve -p = -5*g, b + 0*b = 2*g - 6 for b. -4 Let w(k) = 3*k + 30. Let g be w(-9). Solve 4*j + g*b + 8 = -0*b, b = -j - 2 for j. -2 Suppose 13*a = -2*a + 30. Solve p - 3*q - a = -12, -2 = -2*p - 5*q for p. -4 Let x be (-8)/(-44) - (-796)/(-22). Suppose 3*k = b + 4 + 35, 0 = -4*b + 3*k - 138. Let v = b - x. Solve 5*r + 5 = v*o, 0*o + 4*o = -r - 1 for r. -1 Let g(q) = -2*q**2 - 5*q + 15. Let t be g(-4). Solve 3*w - 5*b = -11, 5 = -5*w + 2*b + t*b for w. 3 Let x(t) = -t**3 - 4*t**2 + t + 1. Let w be x(-4). Let r be w/(-6) - (-12)/8. Suppose -r*c + 5 = -1. Solve v - 2*m = -v, c*v - 15 = -2*m for v. 3 Let i(c) = -36 + 3 - 27*c + c**3 - 8*c**2 - 20*c**2. Let b be i(29). Solve -5*q + 25 = 0, -5*q = r - 3*r - b for r. 0 Let c be (6/(-15))/(-1)*10. Suppose -108 = -8*v - 36. Suppose 4*m + 2*j - 20 - 6 = 0, -v = -3*j. Solve 5*f = -c*r + m, 4*f - 4 = r - 0 for r. 0 Let m(s) = -s**3 + 5*s**2 + 10*s + 32. Let t be m(7). Solve n + 3*a = 3*n + 1, -3*a - 1 = -t*n for n. 1 Suppose -2*c = c - 6. Suppose -q = -5 - c. Solve -5*m - 2*l - 15 = 3*l, 3*l = 5*m + q for m. -2 Let b be (-1)/((-3)/75 + 0). Suppose -2*k - 3*k + 2*l = -121, 0 = 2*k + 3*l - 56. Solve 5*s - 4*u - u = -b, 2*s = 5*u - k for s. 0 Let b(l) = -l + 7. Let x be b(6). Let w be ((-3)/6 - -1)*38*x. Solve j - 3*u - w = 0, 4*j + 5*u + 21 = 3*j for j. 4 Suppose -4*h + 3*k - 2*k - 62 = 0, -3*k = 4*h + 70. Let z(o) = -o**2 - 17*o - 13. Let v be z(h). Solve 3*l + 18 = -v*p, 3*l + 0*p - p = 2 for l. -1 Suppose 30 = 5*v + 10. Suppose -m + 7 = v. Solve 0*n + m*n + 3 = -3*t, 0 = t - 4*n - 9 for t. 1 Let y = 352 + -340. Solve -2*v - y = -5*t, -3*v - 3*t + 2 = -1 for v. -1 Let r be 1/(-3) - (-308)/42. Let n = -45 + 49. Let a = r - n. Solve -5*u - b = a + 17, 2*u = -5*b - 8 for u. -4 Let q be 2/(-20)*-198 + 2/10. Solve g + 10 = 5*f, 7*f - 2*f + g = q for f. 3 Let s be (-7)/(56/4)*(2 - 12). Solve 3*x = -2*i + 5*i - 24, -x + 16 = s*i for x. -4 Let g be 1*-7 + 72 + -60. Solve 0 = -3*u + 2*l - 16, -g + 0 = -l for u. -2 Let z = 46 - 42. Solve 16 = -5*w + z*v, -3*v - 4 = -3*w - 4*v for w. 0 Suppose 2*n + p - 9 = 5*n, -4*p + 12 = -4*n. Let g be 3 - (-4)/(-12)*n. Let v be ((-1)/((-1)/2))/1. Solve -5*c
{ "pile_set_name": "DM Mathematics" }
.5? 0.5 Let i be 42/(-8) - (-9 + 4). Let u be 11*33/9 + 0. Let w = u + -41. Which is the second smallest value? (a) w (b) i (c) -0.4 c Let u = -69 - -98. Let f = u - 33. What is the third smallest value in -0.4, -1, f? -0.4 Let g be -2*(0 + 4/(-40)). Let f be 0*(-4 - 0)/(-8). Suppose f = 4*k - 21 + 9. What is the third biggest value in g, 3/5, k? g Let j = 3.25 + -0.25. Let q = -1553/11 + 141. Which is the third smallest value? (a) j (b) -0.5 (c) q a Suppose -65*p = -63*p - 22. Let u = -50 - -197/4. Which is the second biggest value? (a) u (b) -2 (c) p a Suppose 0 = 3*o - 11*o. Suppose l + 6 = p, -5*l = -2*p - 2*p + 30. Let x be (-46)/(-10) + l/(-15). Which is the third biggest value? (a) o (b) -5 (c) x b Let p = 1777 + -1770. What is the smallest value in p, -0.054, 5, 1? -0.054 Let k(r) = r**2 - 5*r + 4. Let t be k(5). Let s = -0.2 + -1.8. Let l(f) = 3*f + 2. Let v be l(-2). Which is the biggest value? (a) s (b) v (c) t c Suppose -5*m - 22 = 3*a, 7*a + 2*m + 7 = 4*a. What is the biggest value in -1/3, -1.7, a, -1? a Let m = -150.9 + 137.9. What is the third smallest value in m, 2/9, -1, 1/8? 1/8 Let t be (2/18)/(13/(-39) - 0). Let s = 0.1 - -0.1. Let z = s + -0.5. Which is the biggest value? (a) 0.02 (b) t (c) z a Let y = 6 + -25. Let t = 19 + y. What is the third biggest value in 1/5, -2.1, t, 0.1? t Let i = -0.65 - -0.15. Let q be 15/(-18)*6/45. What is the biggest value in 2/11, i, q? 2/11 Let m be 2*4/3*3. Let t be (-1)/(-30) - m/40. Let x = -0.761 - 4.239. What is the smallest value in -4, t, x? x Let x = -16.45 - 0.55. What is the biggest value in x, 5, -0.1? 5 Let t = 771/4 + -193. Which is the second biggest value? (a) -3/4 (b) -5/3 (c) -1/8 (d) t d Let g be (-4)/(-14) + (-17)/35. Suppose 5*k + 2*d = 6*d - 13, -2*k = -4*d + 10. Which is the second smallest value? (a) k (b) -3 (c) g a Let d = 5 + -41. Let s = 38 + d. Which is the biggest value? (a) s (b) 4 (c) -0.1 b Let o = -0.3 - 0.2. Let r = -19 + 20.4. Let l = r + -0.4. What is the third biggest value in -2/9, l, o? o Let z = 4.4 + -0.4. Let l = -1298 + 22067/17. Which is the biggest value? (a) z (b) l (c) -0.5 (d) 0.2 a Let u(s) = 3*s - 101. Let n be u(31). Which is the second smallest value? (a) -4 (b) n (c) 0.1 (d) -0.1 a Let k(j) = -j**3 + 5*j - 2. Let w be k(2). What is the smallest value in 14, w, -0.5? -0.5 Let o = -11.3 + -85.7. Let j = o - -97.4. Which is the third biggest value? (a) j (b) -0.6 (c) 2 (d) 5 a Let k = -0.3582 - -0.0582. What is the fourth smallest value in k, 4, 2/13, -2/17? 4 Let g = -11.9 + 15.9. Which is the third smallest value? (a) g (b) -5 (c) -32 (d) 0.1 d Let v be 3/((-12)/(-10))*(-58)/87. Which is the second biggest value? (a) -28 (b) 2 (c) 0.1 (d) v c Let x = 9/46 - -113/69. Which is the smallest value? (a) x (b) 3/2 (c) 0 c Let f = 86 - 56. Let j = -32 + f. Which is the biggest value? (a) -3 (b) -0.4 (c) j b Let f = -9 - -21. Let q = f + -16. Let k = 0 - -4. Which is the third biggest value? (a) -2/7 (b) k (c) q c Let x = -2.06 + -2.94. Let o = 6 + -3. What is the third smallest value in x, -2/13, o? o Let a = 0.029 + 0.471. Let v = 0.285 + -0.085. What is the biggest value in -3/2, v, -1, a? a Let g = -12.53 - -12.49. What is the biggest value in g, 4/7, 6? 6 Let j = -595/22 - -27. Let n = 19/66 - j. Which is the second smallest value? (a) 3 (b) 0.8 (c) n (d) 0.4 d Suppose 4*w + 2*z - 32 + 12 = 0, -w + 4*z - 4 = 0. Let y = -2.8 - -3. Let o = 0.063 + -3.063. Which is the third biggest value? (a) o (b) w (c) y a Let y = -3.9 + -1.1. Let x = -31 - -31.576. Let v = x - 0.176. Which is the third smallest value? (a) v (b) y (c) 4 c Let f = -2/187 + 392/1683. Which is the third biggest value? (a) 0.63 (b) 0.4 (c) f c Let m = 37 + -147/4. Let t = 2.6 - 3.1. Let f = t - -0.2. What is the third biggest value in 3, m, f? f Let v = -1153.8 + 1154. What is the fourth biggest value in v, -3/5, -1/89, 0.5? -3/5 Let s be (9 + 19/(-2))*1. Which is the smallest value? (a) s (b) -34 (c) -1 b Suppose 5 = 5*n - 10. What is the smallest value in n, -5, -3, 2/35? -5 Let r(k) = -2*k + 2. Let a be r(2). Let y = -1596/583 - -68/53. Let o = y + 53/44. What is the biggest value in o, a, 2/3? 2/3 Suppose 0 = m + 2*m - 2718. Suppose -5*a = k + 447, -2*a = -0*k - 2*k - m. Let g = k + 3159/7. What is the third smallest value in 4, g, -3? 4 Let z = -4993/2 - -2495. What is the second smallest value in -2, 38, 1/9, z? z Let z = 377.4 - 377. What is the second biggest value in -2.17, z, 0.1? 0.1 Let n(z) = z**3 + 8*z**2 - 11*z. Let q be n(-9). Let f be q/(-24)*(-1)/(-3). Let a be -7*1 + (-3 - -6). What is the smallest value in 3/4, a, f? a Suppose 150 = 115*h - 425. Which is the biggest value? (a) h (b) -5 (c) 0 (d) 2 a Let f = -25 - -55. Let o = 30 - f. Which is the second biggest value? (a) -4/9 (b) o (c) 0.5 b Let l be 2*(-20)/32 - 5/(-15). Let t = -25/36 - l. What is the smallest value in t, -5, -7? -7 Let w = 53 + -51. Which is the third smallest value? (a) -1 (b) w (c) -0.4 b Let t be -1*1*(0 + -1). Let z be -3 - -4*(-5)/(-20). What is the third smallest value in 6, t, z? 6 Let c be (12/(-10))/((-36)/45). What is the third smallest value in c, 1/4, -2? c Let j = 61 + -547/9. Let v = 178 + -178.5. Which is the second biggest value? (a) j (b) 2/25 (c) v b Let z be (0 - (-6)/(-36))/((-1)/(-7)). Which is the second biggest value? (a) -4 (b) -0.1 (c) z c Let f be (-7)/(-14) + 38/(-4)*-1. Let y be 6/f + (-8)/20. Let g be 5/(-2) - 2/4. Which is the second smallest value? (a) -4 (b) g (c) y b Suppose -8 = -5*l - 38. Let n be (-5)/(-9)*l/(-20). Let m = 0.7 - 1.2. What is the smallest value in n, 0.2, m? m Let x(h) = h**3 + 4*h**2 - 2*h - 1. Let v be x(2). Suppose -3*s + v = -11. Suppose -s = -3*k + k. What is the smallest value in k, 1, -5? -5 Let z = -1.3531 - -0.3531. Let p = -3 - -2. Let x = -0.5 - p. What is the second smallest value in 3, z, x? x Let q = -6 - -1. Let i = 0.14 + -0.54. What is the fourth biggest value in q, -4, i, -0.2? q Suppose -11*q + 28*q - 85 = 0. Which is the biggest value? (a) 10/3 (b) q (c) 2/5 b Let n = -0.0139 + -0.0861. What is the third smallest value in 223, -2/9, n, 0.4? 0.4 Let s = -9 - -8.8. Let m be 6/(-12) + (198/48 - 4). Which is the smallest value? (a) s (b) m (c) -2/9 b Let o = -6 + 3. Let l = 1007 - 1007. Which is the second smallest value? (a) 2/9 (b) o (c) l (d) -2/7 d Let d = -13 - 9. Let i = d + 27. Which is the third biggest value? (a) i (b) -5/2 (c) 2/3 b Let z = -5408/3 + 1802. What is the third biggest value in -1/5, 5/2, z, -2? z Let a = -0.5 + 0.38. Let w = 44.92 + -41.8. Let j = a + w. What is the third smallest value in 0.3, 2, j? j Let c = 2 - 5. Let v be (2 + -4)*(-49)/343. What is the third smallest value in v, 0, 3, c? v Let j = 16 + -14. Let t = 0.5 + -0.43. Which is the third smallest value? (a) t (b) j (c) -0.5 b Let u = -1483 - -1482.5. What is the third biggest value in u, -0.2, 0.027, 0.2? -0.2 Let v be 3/(-36) + 6/(-36). What is the third biggest value in 2, 4, -5, v? v Let y = 2.02 - 0.02. Let s = -1.5 + y. Let w = -402 + 402. Which is the smallest value? (a) -5 (b) s (c) w a Let o = -15 + 17. Let d be (o + 0)*5/10. Let x be -2 - d/((-2)/3). What is the third smallest value in 0, -0.1, x? 0 Suppose 14*z = -8*z - 154. Let w be 7 + -9 - (-24)/10. Which is the second smallest value? (a) z (b) 2/3 (c) w c Suppose 4 + 36 = -10*d. What is the second biggest value in 9, 3, d, 0? 3 Let i(n) = 4*n + 47. Let w be i(-12). What is the fourth smallest value in 1, 2, w, -4? 2 Let n(y) be the first derivative of -y**3/3 - 11*y**2/2 - 19*y - 7. Let f be n(-8). Let x = 0.03 - 8.03. What is the third biggest value in f, 0.2, x? x Let w = 369 - 372. Which is the third biggest value? (a) -4 (b) 2/3 (c) w (d) 2/9 c Let n = 12 + -11.88. Let t = 3.88 + n. Suppose -3*v - 5*o = -29, 60 - 18 = 5*v + 2*o. What is the second biggest value in t, v, 2/11? t Let g be 2/(-3) + 864/(-1620). Which is the smallest value? (a) 1/11 (b) -0.31 (c) g (d) -1 c Let v = -2.36 + 2.46. Which is the third smallest value? (a) 4/7 (b) -1 (c) v a Let v = 22.6 - 18.09. Let z = -0.49 - v. What is the smallest value in 3, z, 0.1? z Let u(b)
{ "pile_set_name": "DM Mathematics" }
Let c be 5 + 19/(5/m). Calculate the greatest common factor of 6 and c. 6 Let g = -768 + 801. Calculate the greatest common factor of 1452 and g. 33 Suppose 4*s = 2*s + 38. Let d = -6 - -1. Let u = d - -62. Calculate the highest common factor of s and u. 19 Let m(t) = 28*t - 105. Let c be m(13). What is the highest common factor of 37 and c? 37 Let n be 4257/36*1/(3/12). What is the greatest common factor of n and 172? 43 Let w be ((-3)/4)/(6/(-96)). Let d = 270 - 138. Calculate the highest common factor of d and w. 12 Suppose 5*m = 4*z - 2*z - 37, 5*m = -4*z + 119. What is the greatest common divisor of z and 13? 13 Let a = -170 - -118. Let s = a + 60. Calculate the highest common divisor of s and 4. 4 Let m be 13 + -14 - (-1958 + -6). What is the greatest common divisor of m and 13? 13 Suppose 15 - 13 = g. Let w be (g - -6)/(-2) + 5. What is the highest common divisor of w and 1? 1 Let q(z) = 3*z**2 - 11*z - 3. Let j(n) = -8*n**2 + 33*n + 9. Let l(u) = 4*j(u) + 11*q(u). Let h be l(-12). Calculate the greatest common factor of h and 30. 15 Let i be ((-4)/(-6))/((-8)/(-84)) - -643. What is the highest common divisor of 150 and i? 50 Let n be -1 + (7/(-21) - (-40)/3). Let u = 25 - 13. What is the highest common factor of u and n? 12 Suppose 4*u - 28 = s, -4 = -4*u + 3*s + 32. Let z(q) = -q**3 - 5*q**2 + 6*q + 10. Let x be z(-7). What is the greatest common divisor of u and x? 6 Let i(t) = -t**2 + 4*t + 15. Let a = 89 - 83. Let h be i(a). Calculate the highest common divisor of 27 and h. 3 Let v = 20 + -199. Let o = -140 - v. Calculate the highest common divisor of o and 3. 3 Let i = 8 - 5. Suppose 0 = -3*u - 5*y + 33, -i*u + 15 = y - 6. Let x be u/14 - (-683)/7. What is the greatest common divisor of x and 14? 14 Let g be (1 - -3 - -1) + 3. Calculate the greatest common factor of g and 72. 8 Let n = 710 + -699. What is the greatest common divisor of n and 341? 11 Suppose -7 = 2*q - 27. Suppose -10 = -y + q. Suppose y - 5 = 5*b. What is the greatest common factor of 9 and b? 3 Suppose -2*f + 0*f = -f. Suppose 5*s - 138 + 28 = f. What is the greatest common divisor of s and 11? 11 Suppose -4*z + 20 = 0, 3*i - 31 = -0*i + z. Suppose 9*s = 10*s - i. Calculate the greatest common factor of 18 and s. 6 Suppose -2*m - 4*o + 0*o - 18 = 0, -3*o - 8 = -4*m. Let v(a) = 144*a**2 - 3*a - 2. Let j be v(m). What is the greatest common divisor of 29 and j? 29 Suppose 23*c + 110 = 28*c. Calculate the greatest common factor of 2 and c. 2 Let i(m) = -7*m + 1. Let k be i(-1). Let p be (-6)/k - -67*5/20. Calculate the greatest common factor of 128 and p. 16 Suppose 4*f - 4*a - 188 = 0, -3*f - 2*a - a + 147 = 0. Let p(g) = -4*g + 4. Let t be p(6). Let d = t + 44. What is the greatest common divisor of f and d? 24 Let g = 377 - 331. What is the highest common factor of 414 and g? 46 Let u(t) = -2*t**2 - t + 35. Let v = 27 + -27. Let n be u(v). Calculate the highest common divisor of n and 14. 7 Let f be (-54)/12*8/(-6)*13. Calculate the greatest common divisor of 4 and f. 2 Let z = 444 - 417. What is the greatest common factor of 36 and z? 9 Let q be 3/6 - (-2)/8*6. Suppose 0*j + 10 = 5*j - s, -q*j + 4 = 3*s. Let v = 11 + -8. What is the greatest common divisor of v and j? 1 Let g = 7 - -6. Suppose -47 + 50 = m. Suppose -4*n + m*n = -g. Calculate the greatest common divisor of 65 and n. 13 Suppose 3*a - 4*d = 17, -4*a - 3 = 5*d - 5. Calculate the greatest common factor of 96 and a. 3 Let f be (21/4 - 1)/((-145)/(-580)). What is the highest common factor of f and 544? 17 Suppose -v + 88 = -2*m, 2*m - 3*m = 2*v - 176. Let u be (-3)/6*2*-11. Calculate the greatest common divisor of v and u. 11 Let b(d) = -4 - 251*d + 248*d + 6*d**2 + 0*d**2 - d**3. Let q be b(4). Let t be (-3)/(-1 + (-13)/(-16)). What is the highest common factor of q and t? 16 Let d = -18 + 19. Let m(f) = -f**2 - 14*f - 23. Let l be m(-12). Calculate the greatest common factor of l and d. 1 Suppose i - 3*u = 2, -4*i + u + 4 = -3*i. Let h = i + -2. Let f be (9/2)/h*2. What is the highest common factor of f and 15? 3 Let k(j) = j**3 + 6*j**2 - 7*j - 7. Let d be k(-6). Let c be 6 + 5 + -3*8/6. Calculate the highest common factor of d and c. 7 Suppose 4*n + 259 = -5*j + 42, -5*n = -4*j + 261. Let x = -33 + -1. Let r = x - n. Calculate the greatest common factor of r and 171. 19 Let r be (-13 - -8)*6/(-10) - -26. Let c = -244 + 360. Calculate the greatest common divisor of c and r. 29 Suppose -3*w - 15 - 4 = -5*f, w = 5*f - 13. Suppose 0 = f*o + 2*o - 204. Suppose -3*g = -y + o, -y + g = 5*g - 30. What is the highest common factor of y and 6? 6 Suppose 22034 = 5*g + 5*f - 3*f, 0 = 5*f + 15. Let r be g/20 - 2/5. What is the highest common divisor of r and 20? 20 Let w be (-10)/((-250)/(-395))*-10. Calculate the highest common factor of w and 1185. 79 Let t = -44 - -46. Let z = 58 + t. What is the greatest common divisor of z and 24? 12 Let i be ((-6)/4)/(4 - 460/112). Let a(h) = 3*h**2 - 6*h - 2. Let o be a(-4). Calculate the greatest common divisor of i and o. 14 Let i(b) = -b**2 + 8*b - 1. Let d be i(6). Let w(u) = -u**3 - 5*u - 7. Let q be w(-4). Calculate the greatest common divisor of q and d. 11 Let b be 4 - (-3 + 2) - (-75 + -1). Calculate the highest common divisor of b and 63. 9 Suppose 8*x - 255 = 97. Let i be ((-242)/x)/((-1)/18). What is the highest common divisor of 22 and i? 11 Let x be 3/((-3028)/608 + 5). What is the greatest common factor of x and 8? 8 Let f be ((-2847)/26)/(2/4). Let k = -142 - f. Suppose 5*v = 28 + 7. What is the highest common divisor of k and v? 7 Let z be (9/18)/((-50)/320)*(-3 - 2). Let d = 181 + -117. Calculate the highest common factor of d and z. 16 Suppose -15*c = 375 - 930. Calculate the highest common factor of c and 1. 1 Let y = -17 - -8. Let u be 6*((-3)/y + 0). Suppose -2*a = u*a - 36. Calculate the highest common factor of 9 and a. 9 Let g = 575 - 467. What is the highest common divisor of g and 972? 108 Let b = 460 - 271. What is the highest common divisor of b and 14? 7 Let l = -7 - -4. Let h be (1 - 2)/(l/(-141)). Let p = 105 - h. What is the greatest common divisor of 19 and p? 19 Suppose -23*w + 27 = -22*w. Suppose -d + 0 = -2. Suppose d*t - 9 = t. What is the highest common divisor of t and w? 9 Let b(h) = -3*h**2 + 190*h - 38. Let p be b(51). What is the greatest common divisor of 86 and p? 43 Suppose -63 = -5*r + 4*w, -2*r = 5*w - 2*w - 39. Suppose 1 - 31 = -r*l. What is the highest common factor of l and 1? 1 Let k be (-36)/66 + (-4242)/(-33). Calculate the highest common divisor of k and 48. 16 Suppose -3160 = 25*l - 65*l. What is the greatest common divisor of 237 and l? 79 Let m(o) = 2*o - 8. Let x be 116/6 + 10/15 + -1. Let c be m(x). What is the greatest common factor of c and 20? 10 Suppose -10324 = -10*f - 9184. What is the highest common factor of 1140 and f? 114 Let k(c) = -c**2 + 68*c + 12. Let n be k(66). Calculate the highest common divisor of n and 32. 16 Let c(j) = -18*j - 708. Let o be c(-51). Calculate the highest common factor of o and 56. 14 Let b = -74 + 38. Let x = b + 42. Calculate the greatest common divisor of x and 6. 6 Suppose 6*z + 14 = 446. Calculate the greatest common factor of 48 and z. 24 Let d = -15 - -26. Let u(o) = o**2 - 3*o - 6. Let y be -4*((-20)/(-16) - 3). Let a be u(y). What is the highest common divisor of a and d? 11 Let v(m) = -10*m - 610. Let g be v(-70). What is the highest common factor of 198 and g? 18 Let u = -50 + 52. Let x be (300/(-18))/(u/(-3)). Calculate the greatest common divisor of x and 10. 5 Let u = -2306 - -2502. Calculate the greatest common divisor of u and 364. 28 Let z = 126 + -72. Suppose 7*m = m + z. Suppose -94 = -7*l + 32. Calculate the greatest common divisor of m and l. 9 Let n(v) = 2*v**2 - 4*v. Let j be n(-5). Suppose 5*b - 175 = 5*u, 5*u - 2*u - 140 = -4*b. Calculate the highest common divisor of b and j. 35 Let q(x) = 2*x - 48. Let v be q(20). Let u be ((-18)/v)/(-9) + (-1066)/(-8). Calculate the greatest common divisor of u and 19. 19 Suppose -5*t - 189 + 4 = 0. Let w = 39 + t. Calculate the highest common factor of w and 22. 2 Let j(q) = -q**3 - 7*q**2 - q. Suppose -5*o = 52 - 17. Let s be j(o). Calculate the greatest common divisor of 63 and s. 7 Let h be -5 - 1 - -27*28
{ "pile_set_name": "DM Mathematics" }
se t = 3*i - 320. Suppose -11*o + i = -8*o. What is the tens digit of o? 8 Suppose 3*q - 50 = -3*u + 646, 456 = 2*q - 2*u. Let d = q + 77. What is the units digit of d? 7 What is the thousands digit of (4074 - (3 - 15))/((-6)/(-4))? 2 Suppose -3*t - 13 = -4*n, -6*t + 25 = 5*n - t. Suppose -4*c - 4*s + 2048 = 0, -5*s - 1390 - 640 = -n*c. What is the tens digit of c? 1 Let n(g) = -396*g - 33. Let q be n(-2). Let v = q - 455. What is the units digit of v? 4 Suppose 39*w - 42*w = -21, -144818 = -5*r + w. What is the hundreds digit of r? 9 Let p be -31 + 31 + (-4)/(-2)*1. What is the hundreds digit of ((-1356)/4)/((-1)/p)? 6 What is the thousands digit of (-155)/186 + 512442/108? 4 Suppose -4*p = -3*f - 5799, 623*p - 7250 = 618*p + 4*f. What is the units digit of p? 6 Let l(h) = 65*h**2 + 150*h + 59. What is the tens digit of l(11)? 7 Suppose 0*r + 5*r - 353419 = -6*r. What is the ten thousands digit of r? 3 Let o(p) = p**3 - 7*p**2 + 32*p + 9. What is the tens digit of o(19)? 4 Let i(h) = 6*h + 50. Let t be i(-8). Suppose t*p - 137 = 359. Let y = p + -143. What is the tens digit of y? 0 Let u = 1745 - 663. What is the thousands digit of u? 1 Let d(x) = 97*x**2 + 6*x - 38. What is the units digit of d(9)? 3 Let q(m) = m**3 + 34*m**2 + 35*m - 101. What is the thousands digit of q(-31)? 1 Let k be (-47595)/(-437) - (-2)/23. Suppose 0*f - 3*w - k = -f, 5*w = 3*f - 315. What is the units digit of f? 0 What is the units digit of 5096/(-882)*(-981 - 0)? 8 Suppose a + 2 + 2 = 0, 2*i + 4 = -a. Suppose q + 3*n - 162 = i, 2*q - 5*q + 434 = -4*n. What is the tens digit of q? 5 Let n(a) = -68*a - 106. Let x be n(17). Let m = 2847 + x. What is the hundreds digit of m? 5 Let n = 90 + -80. Let g(b) = -2*b**2 + 23*b - 14. Let a be g(n). Suppose a*d = 20*d - 468. What is the hundreds digit of d? 1 Suppose -201 = 2*d + 31. Let l = -44 - d. Suppose 0 = -5*f + l + 173. What is the tens digit of f? 4 Let a = -9618 + 21921. What is the hundreds digit of a? 3 Let q = -1501 + 3066. Let o = -586 + q. What is the units digit of o? 9 What is the units digit of (0 - -13 - 9) + 5776? 0 Let j = 58 + -55. Let h be j/(3/(7 + -4)). Suppose 5*f = 4*i + 339, -f - h*i + 8*i = -51. What is the tens digit of f? 7 Let i be 5/(-10) + -1*(-28)/(-8). What is the hundreds digit of (-1314)/(7/14*i)? 6 Suppose -6*q = -174 + 198. Let o(z) = -115*z - 60. What is the units digit of o(q)? 0 Suppose 15*m + 78 = 21*m. Suppose -3*s = -2*s + m. What is the units digit of (s/(-39))/(2/60)? 0 Suppose 10 = -4*r - 2. Let j be (-10)/r + (-44)/(-66). Suppose -12 = -j*p, 0*h - h = 4*p - 13. What is the units digit of h? 1 What is the hundreds digit of 79722/15 - (-3 - 28/(-10))? 3 Let g(o) = -o**2 + 9*o - 16. Let s be g(4). Suppose -j + s*v + 245 = 0, 15*j - 523 = 13*j - 3*v. What is the hundreds digit of j? 2 Let q(v) = -v**3 + 38*v**2 + 52*v - 46. Let u = -185 + 224. What is the units digit of q(u)? 1 Let c = 4254 + -1740. What is the thousands digit of c? 2 Suppose 0*a - 2*d = -4*a - 1844, -2*a = -3*d + 918. Let n = 966 + a. What is the tens digit of n? 0 Suppose -5968 = -2*s - 2*s. Let x = s + -821. Suppose -3*f + 5*j = 4*j - x, -892 = -4*f + 4*j. What is the units digit of f? 4 Let a(g) = 224*g - 546. What is the hundreds digit of a(118)? 8 Let y be ((-8)/32)/(1/(-8)). Let u be y/12 + 2337/18. What is the tens digit of u/4*-2*-1? 6 Let j(u) = u**2 - 9*u + 14. Let v be j(7). Suppose -9*y + 1712 + 43 = v. What is the hundreds digit of y? 1 Let r be (1265/60)/1 - (-1)/(-12). Let b be 0 + 0/1 + 49. What is the tens digit of b/r*(-3)/(-1)*13? 9 Suppose l - 4 - 2 = u, -2*l = 4*u + 12. Let c(k) = -k**3 - 4*k**2 - 6*k - 2. Let f be c(u). Suppose 4*o - 146 = -f. What is the tens digit of o? 3 Suppose 19*v - 11922 = 205020. Suppose -18*g = -5898 - v. What is the hundreds digit of g? 9 Suppose -8*o + 9382 = 3*q - 31708, 0 = 2*q - 4*o - 27356. What is the units digit of q? 6 Suppose 19*p + 3*d = 23*p - 17038, p - 4*d - 4279 = 0. What is the units digit of p? 5 Suppose 0 = k - 13*k - 1836. Let c = 46 - k. What is the hundreds digit of c? 1 Let r = 8 - -20. Suppose -16 = -7*q + 250. Let f = q - r. What is the units digit of f? 0 Suppose -9*l = 1881 - 16758. Let h = 2621 - l. What is the hundreds digit of h? 9 Let z = 4674 + -17562. What is the hundreds digit of (-18)/(-8)*z/(-18)? 6 Let w = -14 - -12. Let m be 1/(12/(-200)*w/(-6)). Let o = 72 + m. What is the units digit of o? 2 Let f = -41 - -40. Let a = f + 8. Suppose -a*o - o + 520 = 0. What is the units digit of o? 5 Let l(y) = -39*y**2 - 8*y - 16. Let v be l(-5). Let i = v - -1506. Suppose 0 = 8*w + 155 - i. What is the units digit of w? 0 Suppose -123*s - 131*s + 3467354 = 0. What is the units digit of s? 1 Let o(u) = 173*u + 900. Let r(k) = 34*k + 180. Let i(a) = -2*o(a) + 11*r(a). What is the hundreds digit of i(48)? 5 Let i be (-7 - -6)/(2/(-974)). Let t = i - 257. Suppose -3*c + 2*h = -t, h = 7 - 2. What is the units digit of c? 0 Suppose -2*r = 2*m + 164 + 130, -3*r - 444 = 2*m. Let o = 264 + r. What is the units digit of o? 4 Let y = 26 - 12. Suppose -9*l + y*l = 10. Suppose l*r - 226 = -4*v, -r = 12*v - 8*v - 231. What is the tens digit of v? 5 Let r = 38 + -12. Let g = 272 + -278. Let f = r - g. What is the tens digit of f? 3 Suppose 4*z - 2*f + 28 = 8*z, 9 = z + f. What is the units digit of 2/1 - (z - 223 - 6)? 6 Let l be -4 - (-11)/((-44)/(-60)). Suppose l*v - 25*v = -2758. What is the tens digit of v? 9 Suppose -14*b - 4*s - 4218 = -19*b, b + 4*s = 834. Suppose -12392 = -14*a - b. What is the hundreds digit of a? 8 Suppose 0 = 6*z - 1145 - 673. Suppose 93 = g - z. What is the tens digit of g? 9 Let g = -295 - -301. What is the tens digit of 631 + g + (-9)/(3 + 0)? 3 What is the hundreds digit of 4/(-6) - (-4125000)/33*1/3? 6 Let j be 5/(20/24)*2/(-3). What is the units digit of (-12096)/(-27) + j + 0? 4 Suppose -q + r = -5265, 3*q + 14*r - 15781 = 10*r. Suppose -q = -7*j - 216. What is the hundreds digit of j? 7 What is the hundreds digit of ((-1)/3)/1*59/(708/(-287316))? 9 Suppose -12*g + 15*g = -2565. Let k be g + 0*(2 + -1). What is the tens digit of (1 - 20/16) + k/(-12)? 7 Let g = 41 - 46. Let u be 2/(-2)*(-7 - g - 1). Suppose 10 = -l + 3*l, 4*x - u*l = 309. What is the tens digit of x? 8 Let z(c) = 11*c + 58. Let a(u) = -4*u**2 + 55*u - 12. Let k be a(13). What is the hundreds digit of z(k)? 3 Let z(m) = 2*m**2 + 6*m + 31. Suppose -i = 22 - 26. Suppose 4*u = i*v + 20, 0 = -5*v + 10*v + 5*u + 35. What is the tens digit of z(v)? 6 Let h(r) = r**3 - 38*r**2 - r + 38. Let u be h(38). Suppose 3*n - 7*n + 1436 = c, u = 5*n - 3*c - 1778. What is the hundreds digit of n? 3 Suppose 4*m + 14419 = -2*x + 5*x, -x - 5*m = -4819. What is the tens digit of x? 0 Let j be 1/2 + (-678)/(-12). Suppose -31*q + 36*q = 0. Suppose 3*b - 3*x + q*x - j = 0, -b + 14 = 4*x. What is the units digit of b? 8 Suppose c - 2*c = -2*g, -5*g = 0. Suppose c = 15*l - 16*l + 195. What is the tens digit of l? 9 Let t be ((-4)/(-10))/((-208)/(-100) - 2). What is the units digit of 268/t*(-20)/(-8)? 4 Let i be (-4)/(-16)*29 + 27/36. Let v(y) = 9*y**2 - y - 9. What is the tens digit of v(i)? 5 Suppose 3*g = 2*g + 40. Let z be 36/14 - g/70. Suppose -4*l + 48 = z*b, 3*l + b = 4*l - 12. What is the tens digit of l? 1 Let w be (-12*18/(-648))/((-1)/(-18)). Let u be ((-6)/18)/(2/(-132)). Suppose 2736 = u*z - w*z. What is the tens digit of z? 7 Let n(c) = -c + 8. Let t(i) = i - 1. Let s(g) = -n(g) - 2*t(g). Let z be s(8). Let k = z - -45. What is the tens digit of k? 3 Suppose -108 = 4*w - 700. Let c(a) = a**3 + 11*a**2 + 21*a + 13. Let k be c(-9). Let s = w + k. What is the tens digit of s? 3 Let z = -431 - 315. Suppose 64 = 4*q + 2*d, -3*q + 3*d = 2*q - 58. What is the tens digit of z/(-30) + q/105? 2 Suppose 23*m + 544 = 24*m. Suppose -4*w = 16, 4*u - 604 - m = -w. Suppose 0 = -3*y + 5*d - 116 + u, y = 2*d + 59. What is the units digit of y? 9 Let d = 128618 + -75863. What is the hundreds digit of d? 7 Let a(r) = -r**3 + 17*r**2 - 8*r + 28. Suppose 4*y + l - 44 = 0, 5*l = 3*l. What is the hundreds digit of a(y)? 6 Suppose 39*d - 11335 + 17538 = 180884. What is the tens digit of d? 7 Let y(g) = -8 - 21 - 74*g - 37 - 22*g - 9. What is the units digit of y(-9)? 9 Let k = 7245 - -122.
{ "pile_set_name": "DM Mathematics" }
- 4 for i. 1 Let a be (-2)/(-5) + 52/20. Let i be -4 + (-136)/(-16) + 3/(-6). Solve 0 = i*j + a*j - 35 for j. 5 Let q be (5 - 13) + 17 - 31. Let u(t) = t**3 + 22*t**2 - 4*t - 88. Let h be u(q). Solve -25 = -5*f - h*f for f. 5 Let k = -239 + 222. Let c(t) = -t**2 - 21*t - 67. Let i be c(k). Solve i = m + 1 for m. 0 Let w = 1941 - 1934. Solve 65 + w = 24*p for p. 3 Let v(b) = 11*b + 4. Let j = 680 + -680. Let u be v(j). Solve 1 = u*a - 3 for a. 1 Suppose 0*i = -4*i + 28. Let j(b) be the first derivative of -b**3/3 + 6*b**2 - 31*b - 900. Let o be j(i). Solve 0 = -o*x + 6 + 6 for x. 3 Let n be -13 + 999/(-3 + 12). Solve 0 = -13*i - 150 + n for i. -4 Let a be 131/5 + (-24)/(-30). Suppose a = 7*l + 2*l. Solve l*q - 16 + 1 = 0 for q. 5 Let g be 350/4 + (-2)/(16/(-12)). Suppose 81 = -2*h + g. Suppose 0 = -k + 6*k - 10. Solve k = -l + h for l. 2 Let v = -214 - -422. Suppose -28*n = -20*n - v. Solve -21 = w - n for w. 5 Suppose -6*d + 148 = 1348. Let l = d - -210. Solve -4*w + 2 = l for w. -2 Suppose 2*i + 363 = -3*o, -2*i + 2*o - 167 = 191. Let y = i - -185. Solve c - y = -10 for c. -5 Let j(d) = 18*d**2 - 5 + 4*d**2 + d**3 + 21*d + 9. Let b be j(-21). Let q(n) = n**2 + 5*n - 4. Let c be q(-6). Solve b*k = c*k + 10 for k. 5 Suppose -5*q + 267 = -193. Let l = -87 + q. Suppose 0 = -7*i - l + 26. Solve 2*p - 5 = -i for p. 1 Let p = 307 - 129. Let v = -175 + p. Solve -2*g + 5 = -v for g. 4 Let a = 70 + -195. Let j = a - -125. Solve 35 = -7*w - j*w for w. -5 Let s be 612/38 + (-16)/456*3. Solve 50 = 26*y - s*y for y. 5 Let h = 235 - 96. Suppose 4*z = h - 43. Let b = 27 - z. Solve -11 - 4 = -b*c for c. 5 Suppose 2*a - 57 = -3*x, 3*a - 2*x - 11 - 107 = 0. Solve a = -202*i + 193*i for i. -4 Let w = -114 - -204. Let f be -3*2/4 + w/20. Solve f = h + 4 for h. -1 Suppose -60*g = -1195 - 185. Solve -g + 78 = -11*a for a. -5 Suppose -l = 3*i - 74, 15*l - 153 + 55 = -i. Let y = -28 + 53. Solve -y = -2*s - i for s. 1 Let w be ((-5)/1)/(-3 - (0 + -2)). Suppose 4*q - w*k = 69, -4*q + 19 = 2*k + 3*k. Suppose 1 = 4*g - q. Solve 0*a + g*a = -9 for a. -3 Let u be (-1)/(-3*(-6)/(-54)) - (-243 - -13). Solve 235*b - u*b = -12 for b. -6 Suppose -2*s + 6 = -8. Suppose s*u + 1 = 29. Solve -u*j - 16 = -4 for j. -3 Let m be (-1384)/(-44) - 7*(-5 + (-1895)/(-385)). Solve -m*p + 23*p + 9 = 0 for p. 1 Let y be (5/15)/((-2)/(-12)). Suppose -d - 4*h = -9, -17 = -3*d - 8*h + 6*h. Solve -d*i - y = -7 for i. 1 Suppose -1 = -2*i + 2*o + 9, i - 7 = 3*o. Solve 0 = 33*d - 29*d + i for d. -1 Suppose c + 13 = 2*c + 2*b, 3*c - 2*b = 23. Let u = c - 0. Let t = 19 - u. Solve 3*k = -2 - t for k. -4 Let q = 4374 - 4374. Solve q = -6*l - 11*l - 102 for l. -6 Let x(y) = y**3 - 5*y**2 + 34*y - 126. Let g be x(7). Solve g*r = 213*r + 3 for r. -1 Let t be (-82)/((-4)/3*(-237)/(-158)). Solve -8*a + t - 81 = 0 for a. -5 Let k(x) = 5*x - 87. Suppose 48 = 2*g + 3*f, -g + 40 = g + f. Let n be k(g). Solve -n*j + 4 = 10 for j. -2 Let o be -6*(-1 + -11)/6. Solve -133*l = -129*l - o for l. 3 Let p(b) = b**3 + 12*b**2 + 9*b + 110. Let z be p(-12). Let v(j) = -2*j + 12. Let g be v(5). Solve -g = -z*i - 0 for i. 1 Suppose 29 = 7*j + 1. Let h be (-1 - -7)*((-38)/j + 2). Let q = h + 65. Solve d = -4*d - q for d. -4 Suppose 4*r = 2*b + 2, -4*r - 4*b - 55 = -75. Solve 10*s - 12 = -r*s for s. 1 Suppose -5*o + v + 910 = 0, 1257 = -o + 4*v + 1439. Solve -161 = 49*j + o for j. -7 Let z be (8 - 6) + -10 - -8. Suppose 2*f + 7*f = z. Let y be 2/(-4) + (-10)/(-4). Solve f*n = y*n - 4 for n. 2 Let t be (100/18)/(19/171). Solve 2*o + 42 - t = 0 for o. 4 Let n(c) = -10*c + 6. Let k be n(1). Let l be (-1)/k - 3689/(-124). Solve 0 = -3*i - 7*i - l for i. -3 Suppose -5*w - 6020 = -12*w - 21*w. Solve 206*g - 54 = w*g for g. -6 Suppose -12 = 3*w - 6*w. Suppose 5*u - m = 22, m - w = -1. Let b = -1049 - -1065. Solve -u*i = -i - b for i. 4 Let a be 11358/4 + -4 + 36/8. Let r(m) = 0*m - a - m + 2841. Let t be r(-1). Solve 0 = -h - 0 - t for h. -2 Suppose 26595 + 20268 = 41*c. Solve -1149*i + c*i + 18 = 0 for i. 3 Let o(v) = -7*v - 18. Let n be o(-9). Let t = -39 + n. Suppose -t*f + 2*f = -16. Solve f + 0 = 4*b for b. 1 Suppose -3*o + 81 = 4*v, 0 = 4*o + 5*v - 18 - 89. Suppose -4*z + 3 = -37. Let p be o + z/((-10)/(-2)). Solve n + 4*n - p = 0 for n. 5 Let l be -1 + 80/64*4. Solve -l = -538*k + 540*k for k. -2 Suppose 0 = 3*a + 4*y - 18, -5*a + y - 5*y + 22 = 0. Suppose 0 = -3*u + 7 + a. Solve -u*q = q for q. 0 Let f(a) = a**2 - 11*a. Let u be f(11). Suppose 5*o + 0*w = -2*w - 126, u = 3*o - 5*w + 88. Let d = -23 - o. Solve 1 = -d*x - 2 for x. -1 Suppose 3*h = -s + 15, -43*s + 3*h + 75 = -38*s. Suppose -s*g = 22*g - 333. Solve 4*w - 13 + g = 0 for w. 1 Let h(q) = -8*q**2 + 17*q - 44. Let v be h(8). Let n = -416 - v. Solve 2*l = 6*l - n for l. 1 Let w(x) = 2*x**2 - 76*x + 732. Let s be w(16). Solve s*u - 19*u - 63 = 0 for u. 7 Let m be (1 + 10)*(-185)/74*(-6)/15. Solve 167 - 200 = m*d for d. -3 Let v(d) = d**2 - 13*d - 63. Let c be v(-8). Suppose -25 = 4*m - c. Solve -m = 4*p - 8 for p. -3 Let y = -7 + 3. Let h(r) be the second derivative of r**4/6 + 4*r**3/3 + r**2 + 15*r. Let n be h(y). Solve -2*b + b + n = 0 for b. 2 Let o(z) be the third derivative of z**6/120 - 37*z**5/60 - 37*z**4/24 - 11*z**3/2 + 16*z**2. Let q be o(38). Solve -5*f - q = 20 for f. -5 Let w be ((-6)/4)/((-51)/(-68)). Let u be 0 - w/7 - (-338)/91. Suppose -2*m = c - 0*m, 0 = -5*c - u*m + 6. Solve -c*i = 2*i + 16 for i. -4 Suppose -102 = -34*t - 11*t + 33. Suppose -j - 15 = -3*z, -2*z = 2*z + j - 20. Let o = -5 + z. Solve t*k + 4 - 7 = o for k. 1 Let o be ((-36)/42)/2 - (-4)/(-7). Let u be 8 + o/((-5)/5). Suppose -21 = -4*y - u. Solve c + 6 = y*c for c. 3 Let o be (-12)/(-14)*(-199794)/(-1278). Solve -o + 134 = -b for b. 0 Let k = -128 - -140. Let i be (-16)/24 + ((-17)/(-3) - 1). Solve -k = -4*t - i for t. 2 Let q be 4 - (-5)/((-5)/43). Let j be (-3)/(-1)*26/q. Let m be j - (4 - (8 - -1)). Solve -h - 1 = m for h. -4 Let l(i) = 53*i - 3. Let o(a) = -52*a + 4. Let v(m) = 4*l(m) + 5*o(m). Let k be v(1). Let j = k - -44. Solve d - j = 3*d for d. -2 Suppose -4*u + 5*o = -5*u - 44, 5*o = 0. Let l = -40 - u. Solve -l*n + 0*n = -16 for n. 4 Let u = -385 - -416. Suppose 39*g = u*g + 56. Solve 0 = -2*s - 5*s - g for s. -1 Suppose 5*d = -3*i - 5, -d - i = 4*i + 23. Solve -d - 13 = 5*t for t. -3 Let o be (-10)/2 - 273/14*(6 + -14). Solve 166*u - o*u + 105 = 0 for u. -7 Let y(l) = -16 + 10 - 4. Let d(a) = a - 49. Let m(q) = 2*d(q) - 11*y(q). Let n be m(-5). Solve n*v = -3*v - 20 for v. -4 Let l = 339 + -336. Suppose -l*v - v - 4*d = -32, -4*v + 31 = 3*d. Solve -2 = v*a - 9 for a. 1 Suppose -123 - 205 = 4*p. Suppose 341*g - 348 = 337*g. Let m = g + p. Solve 15 = m*n - 8*n for n. -5 Let v(m) = 24*m + 24. Let y be v(15). Suppose 0 = -4*b + 3*a + y, 0*b - a = b - 103. Suppose 0 = -7*s - 4*s + b. Solve 0 = -s*w + 4*w for w. 0 Let y(o) = 13*o - 3. Suppose 3*a - 8 = -2*w, -a - 3 = -6*w + w. Let s be y(a). Let f = -3 + s. Solve -b - f = -5*b for b. 5 Suppose 5*i - 1474 = -2*a, -5853 = 4*a - 5841. Solve -299*g = -i*g for g. 0 Suppose -30 = 50*f - 55*f. Let a be ((-4)/f)/((-4)/12). Solve -a = -2*w + 4 for w. 3 Let i(b) = -4 + b - 2*b + 1. Let r be i(-5). Suppose 852 = 29*a + 562. Solve r*h + a = 2 for h. -4 Suppose -k = 58 + 26. Let g be (-189)/k + (-2)/8. Solve -g*z - 10 = -0 for z. -5 Let z be ((-2)/(-8) + 15669/(-180))*340/(-17). Solve -1729*t + 35 = -z*t for t. -5 Let r(q) = q**3 - 29*q**2 + 110*q + 5. Let k be r(4). Solve -9 = 12*l - k for l. 3 Let a = -77 + 88. Suppose -2*l - 4 = 4*s, 5 = 2*l - s - a. Let u(g) = 3*g - 14. Let b be u(l). Solve -h + 0*h = -b for h. 4 Suppose -5*z = 5*j - 6*z + 113, -4*j - 88 = -2*z. Let u = 28 + j. Solve 2*l + u = 11 for l. 3 Let t = -13943 - -14055. Solve 5*v + t = 33*v for v. 4 Suppose 0 = 5*i - 5*h - 15465, 9*i - 2*h - 12358 = 5*i. Solve -b + i = 3083 for b. 3 Let k(c) = -3*c - 7. Suppose 4*w = -13 - 3. Let f be k(w). Suppose 0 = -f*r - x + 20, 3*r - 2*x - 11 - 1 = 0. Solve -l + 6 = -r*l for l. -2 Suppose -30 + 4 = -13*f. Suppose 0 = -10*x + 13*x - 6. Suppose -7*b + 2*q - 4 = -f*b, -4*b + q - x = 0. Solve b = 2*t - 4*t + 4 for t. 2 Let v(s) = -5*s**2 + 14*s - 84. Let j(n) = 4*n**2 - 15*n + 83. Let z(m) = 4*j(m) + 3*v(m). Let l be z(12). Solve 5*o +
{ "pile_set_name": "DM Mathematics" }
ose -4 = -w + 2. Suppose 2*f - 4*h - w = 0, -4*f - 4*h = -0*f - 24. Sort -2, f, -1/3. -2, -1/3, f Let a(l) = -l - 2. Let u be a(0). Suppose -4*w + 1 + 7 = 0. Sort w, u, 3. u, w, 3 Let x = 4.3 - 8. Sort -2/5, 4, x in increasing order. x, -2/5, 4 Suppose -6*c - 6 + 18 = 0. Sort c, -4, 7. -4, c, 7 Let b be (-6)/(-9) - 76/6. Let o = b - -27. Suppose o = 2*n + 3*n. Put -4, n, 4 in ascending order. -4, n, 4 Let f be 0 + -2 - (-2 + 1). Let i = 8 + -6. Let l be (-2)/(-3) - 17/3. Sort l, i, f in decreasing order. i, f, l Suppose 2*t + 7 = 5. Put 3, -5, t, -6 in descending order. 3, t, -5, -6 Let m = -173 + 173. Put m, 5, -3 in ascending order. -3, m, 5 Let z = -5 + 7. Let l = z + -6. Put 3, l, 1 in decreasing order. 3, 1, l Suppose o = 3*d + 1, 5*o + d + 2*d - 5 = 0. Sort 7, 0.1, o, -0.4 in descending order. 7, o, 0.1, -0.4 Let j = 40.31 + -40. Let x = -0.01 + j. Let t = -2 + 3. Sort t, x, 2. x, t, 2 Let s = 13 + -24. Let o = -14 - s. Sort o, 1, 2 in descending order. 2, 1, o Suppose -2*d = d - 9. Sort d, -5, -1, 5 in increasing order. -5, -1, d, 5 Let o = -0.14 + 0.54. Let b = 20 - 20.1. Put -6, b, o in ascending order. -6, b, o Let b(q) = -q**2 + 5*q + 3. Let p be b(6). Suppose 2*r + 9 + 11 = 4*h, -35 = -5*h + 5*r. Let k = p + h. Sort 5, k, -1. -1, k, 5 Suppose -2 = -l + 1. Suppose -l*a - 25 = -4*z + 7, z - 21 = 4*a. Let i(m) = -m**2 - 3*m + 2. Let t be i(a). Sort 2, t, 3. t, 2, 3 Suppose 2*d + 2*d - 20 = 0, -3*m - 5*d + 37 = 0. Put 5, 0, m in decreasing order. 5, m, 0 Suppose -3*g + 31 = 5*k, 6*g + 24 = 4*k + 8*g. Sort k, -29, 1. -29, 1, k Let v be 64/272*1/2. Let t be -1 + 0 + (-5)/(-7). Sort v, 0.1, t in decreasing order. v, 0.1, t Let a = -17 - -29. Suppose 0*o + 2*o - z = -7, -a = 4*z. Put 3, 1, o in descending order. 3, 1, o Let b(j) = 6*j**2 + 2*j + 1. Let c be b(-1). Suppose 2*x - 4*x + 6 = -2*i, -2*x = 3*i - 11. Sort 3, c, i. i, 3, c Suppose -f - 20 = 4*f. Let r = 2 - 1. Let b = -2/45 + 4/9. Put b, r, f in decreasing order. r, b, f Suppose x + 0*b = 5*b + 10, -2*x + 4*b + 2 = 0. Suppose 3*w + q + 1 = 7*w, 5*w - 2*q - 5 = 0. Sort 2, w, x in decreasing order. 2, w, x Let r = -3 - -8. Let w be r*5/((-50)/(-32)). Let l = -11 + w. Sort -0.2, 2, l in ascending order. -0.2, 2, l Let t = 0 + -5. Let j be 1 + 2*39/(-60). Sort -0.2, j, t in ascending order. t, j, -0.2 Let v = 22.98 + -23. Sort -5, v, -1/11 in ascending order. -5, -1/11, v Suppose -4*q + 20 = 0, 0 = 4*w - 5*q + 9 - 0. Suppose 0 = t + w*j - 8, -3*t + 13 = -t + 5*j. Suppose -19 = 3*p - 4. Put p, t, -1 in descending order. t, -1, p Let r(b) = b**3 - 8*b**2 - 6*b - 12. Let o be r(9). Let d be (-26)/(-5) + (-3)/o. Put -5, d, -3 in decreasing order. d, -3, -5 Let c = -31 + 30.8. Let m = 0.7 + -0.2. Sort 1/8, m, c in decreasing order. m, 1/8, c Let q(y) = -y**2 - 4*y + 2. Suppose 2*o + 2*p + 9 = -5, -2*o - 4 = -3*p. Let f be q(o). Suppose 100 = 17*j + 3*j. Sort j, 2, f in decreasing order. j, 2, f Let l be 1 + ((-4)/1 - 1). Sort -1, l, 2 in increasing order. l, -1, 2 Let l(q) = -2*q - 3. Let v be l(-4). Let o(s) = -3*s**3 - s**2 - 2*s - 1. Let u be o(-1). Let c = -3 + u. Put c, v, 1 in decreasing order. v, 1, c Let n = 0.13 - 4.13. Put 2/11, -0.2, n in increasing order. n, -0.2, 2/11 Let u = 11904889 - 15869214233/1333. Let t = u - 96/43. Let v = 43/93 + t. Put 5, v, -3 in descending order. 5, v, -3 Let r be (1/(-17))/(3/(-6)). Let i(h) = 3*h**3 + 2*h**2 - 1. Let q be i(-1). Let x = q - -7. Sort r, x, 0.4 in increasing order. r, 0.4, x Let g be ((-9)/(-24))/(126/(-1304)). Let c = -25/6 - g. Let s = -16 - -210/13. Put c, s, -0.3 in ascending order. -0.3, c, s Suppose 0*k = 3*a + 3*k, -2*k = 5*a - 15. Put a, -6, 1 in increasing order. -6, 1, a Let c(s) = 4*s. Let k be c(1). Suppose v = -4*v. Let o(j) = -j - 5. Let g be o(-8). Sort k, g, v in descending order. k, g, v Let t = -215/3 - -70. Put 2, 14, t in decreasing order. 14, 2, t Suppose m - 5*m + 2*s - 2 = 0, -5*m + 5*s + 5 = 0. Let z be (0 + -6)/((-3)/m). Suppose 2*w = -p + 1, -2*w = -0*w + 4. Put z, 4, p in ascending order. z, 4, p Let f(z) = 2*z**3 + z**2. Let a be f(1). Suppose u - 8 = -a. Let t = -6 + 3. Sort u, -1, t in descending order. u, -1, t Suppose -50 = 5*r - 8*c + 5*c, 0 = r - c + 10. Let f be 14/70 - 48/r. Sort -3, f, 0.3 in increasing order. -3, 0.3, f Let k = -3.24 - -0.24. Sort -1/10, k, 1 in ascending order. k, -1/10, 1 Let v(a) = a**3 + 46*a**2 - 51*a - 192. Let t be v(-47). Suppose -3*d - 20 = 4. Let s be d/(-3) - 1/(-3). Sort t, -5, s in ascending order. -5, t, s Suppose -20 - 16 = 4*q. Let n = q + 14. Let v(o) = o + 1. Let a be v(-4). Sort 2, n, a in descending order. n, 2, a Let p = 0.8 + 2.2. Let a be (-30)/(-9)*54/(-45). Put 0.5, p, a in decreasing order. p, 0.5, a Suppose -5*l - 11 = -31. Suppose 0 = 2*z - 6*z + 12. Suppose -15 = -5*o, -2*o = -2*k - 3*o - 1. Sort z, l, k in descending order. l, z, k Let v = 8 - 7.6. Put 4, -3, v in descending order. 4, v, -3 Suppose 0*w = 5*z - 5*w + 25, 22 = -5*z + 2*w. Let d = -0.12 + 6.12. Let y = 5.6 - d. Sort 0.1, y, z in decreasing order. 0.1, y, z Let z = 5.7 - 10.7. Put -3, z, -6 in decreasing order. -3, z, -6 Suppose -v - 36 = -5*v - 4*b, 4*v = -b + 30. Let g be (1 - -1)*1 - v. Let a(s) = s - 7. Let z be a(5). Sort z, -4, g in increasing order. g, -4, z Let r = 24 + -23. Let p = r + 0. Put p, 5, 2 in descending order. 5, 2, p Let a = -6 - -4. Let t = 443/45 - 94/9. Sort a, 0.1, t in ascending order. a, t, 0.1 Let m(t) = t**2 - 3*t - 6. Let v be m(-3). Sort v, -4, -2 in descending order. v, -2, -4 Let l = 58.5 + -59. Sort -1/16, l, -2/5. l, -2/5, -1/16 Suppose 0 = -2*n + r - 5, -5*r + 27 - 2 = 5*n. Sort 5, n, -3 in descending order. 5, n, -3 Let b(i) = i**3 - 9*i**2 + 4. Let q be b(9). Put 1, -3, 5, q in decreasing order. 5, q, 1, -3 Suppose r - 2*a = -38, -2*a = -4*r + 8*r + 102. Let z = r - -31. Sort z, 4, 6. z, 4, 6 Let d = -11.3 - -12. Let a = d + -0.7. Put 5, -0.4, a in descending order. 5, a, -0.4 Let v be -2 - ((-2 - -1) + -5). Suppose q + v = -2. Let c = 8 + q. Sort c, -2/9, -0.3 in increasing order. -0.3, -2/9, c Let r be (-31)/8 + 1 + 3. Let q = -7.1 - -7. Let t = 0.3 + -0.2. Sort r, q, t in ascending order. q, t, r Let x = 66 - 65. Let l(w) = 3*w**3 - 2*w + 1. Let u be l(1). Put u, 0, x in ascending order. 0, x, u Let v = 207 - 212. Sort 45, -2, v, -4 in decreasing order. 45, -2, -4, v Suppose -4*i = -4*g, -2*i = 1 + 1. Let d = 1.33 + -1.4. Let p = 0.13 - d. Put p, g, 2/7 in ascending order. g, p, 2/7 Suppose m = 2*m - 4. Let o be (0/1)/3 - m. Sort o, 5, 1 in descending order. 5, 1, o Let c be 1/((4/6)/(-2)). Let o(f) = f**2 + 8*f + 2. Let v be o(-8). Let n be 11/v + 2/(-4). Sort c, n, -4 in increasing order. -4, c, n Let k(q) = -5*q - 5 + 0*q**2 + 5*q**2 + 0*q - 6*q**2. Let j be k(-4). Put -3, -1/3, j in descending order. -1/3, j, -3 Suppose w - 2 = -6. Let y be 2/8 - 2/w. Sort 3, y, -4/9 in descending order. 3, y, -4/9 Let k be (1 - 1)/((-8)/(-4)). Let b be (k - -1)/(6/24). Put 1/3, 1, b in ascending order. 1/3, 1, b Suppose v - t = -4*v - 23, -12 = 2*v + t. Put 1, 13, v in increasing order. v, 1, 13 Let q be ((-1)/(-18))/((-2)/4). Let n be 46 - 47 - (-5)/1. Sort -2, n, q in descending order. n, q, -2 Let c = -88 + 80.8. Let l = -7 - c. Sort 3/2, -3, l in increasing order. -3, l, 3/2 Let y be ((-48)/21 - -2)*-7. Sort -5, y, -4 in increasing order. -5, -4, y Let j = -4 + 7. Sort -2/33, j, 1. -2/33, 1, j Let c = 1 + -1. Suppose c = -2*y + 6*y. Put -2, y, -0.1 in descending order. y, -0.1, -2 Let h = 21 + -20. Put h, 2, -3 in decreasing order. 2, h, -3 Let u = -31 - -31.23. Let c = u - 0.13. Sort 6, -4, c in descending order. 6, c, -4 Let u(a) = -2*a + 2. Let o be u(-8). Let l be (o/(-12))/(6/(-8)). Put -1, 1, l in decreasing order. l, 1, -1 Let q be (-1 - 0)/(7/14). Sort -12, 3, q in decreasing order. 3, q, -12 Let a(x) = x**3 + x**2 + 1. Suppose 4 = 2*f - 4*f. Let d be a(f). Sort d, 5, 2 in increasing order. d, 2, 5 Suppose 3*v + 7 = -z + 3*z, 0 = 5*z + 2*v - 8. Suppose -4 = 2*u + 2. Sort z, -4, u in decreasing order. z, u, -4 Let g(p) = p**2 + 7*p + 6 - 2 - 3. Let t be g(-7). Put 4, 0, t in decreasing order. 4, t, 0 Suppose -3*d = d. Let m(f) = 2*f**3 - 4*f**2 + 2*f. Let q be m(2). Put q, -4, d in ascending order. -4, d, q Let k = 33 - 37. Put k, 0.3, 5 in
{ "pile_set_name": "DM Mathematics" }
3*o + f*o**4 wrt o. 12*o**2 Let g = -10 - -14. Differentiate -3 - 12*l**4 + 9*l**g + 4*l**4 wrt l. 4*l**3 Let r(y) = 4*y + 5. Let k be r(-5). Let c be ((-12)/k)/((-6)/(-15)). Find the second derivative of -5*f**3 - 3*f + 3*f + c*f + 3*f**3 wrt f. -12*f Let o(a) = 11*a**2 - 11. Let i(c) = 21*c**2 - 23. Let s(r) = -3*i(r) + 7*o(r). Find the first derivative of s(m) wrt m. 28*m Let h(p) = p**4 + p**3 - 1. Let f(n) = 28*n**4 + 9*n**3 - n - 11. Let i(d) = -2*f(d) + 18*h(d). Find the second derivative of i(k) wrt k. -456*k**2 Let j = -1 + 3. Let p be -3*(j - (-1 + 4)). What is the first derivative of 0 - 3 + 4 + p*c wrt c? 3 Let z(t) = 7*t**4 + 6*t**3 - 4*t**2 - 6*t. Let v(a) = a**3 - a**2 - a. Let q(f) = 6*v(f) - z(f). What is the third derivative of q(i) wrt i? -168*i What is the third derivative of 39*k**6 - 54*k**6 + 33*k**6 + 6*k**2 + 6*k**2 wrt k? 2160*k**3 Let k(l) be the first derivative of l**2 + l - 5 + l**2 + 0 + 0. Find the first derivative of k(b) wrt b. 4 Let g(x) be the third derivative of x**6/3 - 37*x**4/24 - 16*x**2. Find the second derivative of g(a) wrt a. 240*a Let w be (0 - 0)/(5/(-5)). What is the second derivative of -t**2 + w*t + 3*t - 5*t wrt t? -2 Let y(i) be the second derivative of -6*i**5/5 + 7*i**2 + 24*i. Differentiate y(g) wrt g. -72*g**2 Let g(b) be the second derivative of -b**10/2520 - b**6/360 + b**3/2 + 3*b. Let j(r) be the second derivative of g(r). Find the third derivative of j(q) wrt q. -240*q**3 Let h(f) = f + 8. Suppose -2*d - 9 = 3. Let z be h(d). What is the third derivative of z - x**3 - 2*x**2 - 2 wrt x? -6 Let x(o) = o**2 - o - 2. Let n be x(-1). Find the third derivative of 4*w**4 - 27*w**2 + 29*w**2 + n*w**4 wrt w. 96*w Let r(x) = -2*x - 2. Let k be r(-5). Let m be (k - 1)*(-6)/(-21). Differentiate 6*w**2 + 1 - 6*w**m - 4*w**4 wrt w. -16*w**3 Let f(a) be the second derivative of 0*a**5 - 1/14*a**7 - 1/6*a**3 + 0*a**4 + 0*a**6 + 0*a**2 + 4*a + 0. Find the second derivative of f(p) wrt p. -60*p**3 Suppose 3*g = 6*g. Let s(i) be the second derivative of 0 + g*i**4 - 1/30*i**6 + 0*i**5 + 0*i**3 + 2*i - i**2. What is the derivative of s(a) wrt a? -4*a**3 Let i(y) be the second derivative of 0 - 2*y + 1/10*y**5 + 0*y**3 + 0*y**2 + 1/3*y**4. Find the third derivative of i(t) wrt t. 12 Let q(x) = x**2 + x. Let k(h) = -6*h**2 - 3 - h + 0*h**2 - 1 + 3*h**2. Let j(m) = -2*k(m) - 2*q(m). Find the first derivative of j(c) wrt c. 8*c Suppose 0 = 6*v - 3*v - 54. Find the first derivative of -13 - 5*d**3 - 5*d**3 + v + 3*d**3 wrt d. -21*d**2 Let v(i) be the first derivative of -i**7/70 + i**5/30 - i**2 - 1. Let t(r) be the second derivative of v(r). What is the third derivative of t(d) wrt d? -72*d Suppose 5*d = 4*u + u + 25, 0 = 4*u + 8. Suppose -3*o = -6 - d. What is the first derivative of -2*z**o + 4 - 3 + 4*z**3 wrt z? 6*z**2 Let d(y) be the second derivative of 0*y**3 - 6*y + 0*y**2 - 1/2*y**4 + 0 + 1/10*y**5. Find the third derivative of d(a) wrt a. 12 Let q(v) be the third derivative of 1/15*v**5 + 4*v**2 + 0*v + 1/24*v**4 + 0*v**3 + 0. Find the second derivative of q(x) wrt x. 8 Let m(h) be the first derivative of -3*h**4/4 + 21*h**2/2 + 3. Find the second derivative of m(c) wrt c. -18*c Let k(z) be the second derivative of z + 0*z**5 + 2/3*z**4 + 0*z**3 + 0 + 7/30*z**6 + 0*z**2. What is the third derivative of k(b) wrt b? 168*b Suppose -22 = -h - 3*c - c, -8 = h - 2*c. Let v(g) be the third derivative of 0 - 1/6*g**3 + 0*g + 1/8*g**4 + 3*g**h. Differentiate v(m) with respect to m. 3 Let y(a) be the first derivative of -a**5 - 8*a**3/3 + 4. What is the third derivative of y(p) wrt p? -120*p Let p(i) be the first derivative of 0*i + 0*i**3 - i**4 + 3/2*i**2 - 4. What is the second derivative of p(f) wrt f? -24*f Find the third derivative of 3*z**2 - 5*z + 5*z - 21*z**6 + z**2 wrt z. -2520*z**3 Let x(j) be the first derivative of 35*j**4/4 - 41*j**2/2 - 1. What is the second derivative of x(p) wrt p? 210*p Let d(r) = -r - 2. Let k be d(-6). What is the second derivative of k*g**4 + 2*g - 12*g**4 + g wrt g? -96*g**2 Find the third derivative of -100*l**2 + 92*l**2 + 6*l**4 + 25*l**4 wrt l. 744*l Let c(g) be the first derivative of g**6/10 - g**4/4 + 4*g + 4. Let h(w) be the first derivative of c(w). What is the third derivative of h(l) wrt l? 72*l Let y(c) be the third derivative of c**5/4 - 17*c**3/6 - 38*c**2. What is the first derivative of y(h) wrt h? 30*h Let w(n) = -5*n**3. Let m be w(-1). Suppose 0 = -4*f - 5*p + 40, -m*f + 12 = -f - 2*p. What is the derivative of 2 + f*i - 4*i + 0*i wrt i? 1 What is the third derivative of 22*y**2 - 24*y**2 - 9*y**5 + 0*y**5 wrt y? -540*y**2 Let u = 11 - 11. Suppose 4*f + 0 = -3*z + 2, u = 2*z + 4*f. Find the second derivative of 2*o**z - 2*o**2 + 2*o**2 - 2*o + 0*o wrt o. 4 What is the third derivative of -9*k**5 + 3*k**2 - 19*k**5 + 0*k**2 wrt k? -1680*k**2 Let c(f) be the second derivative of f**9/5040 + f**5/24 - f**4/2 + 7*f. Let g(x) be the third derivative of c(x). Find the first derivative of g(s) wrt s. 12*s**3 Let r = 1 + 1. Find the second derivative of 0*l**r + 2*l - 5*l**2 + l**3 + 5*l**2 wrt l. 6*l Let j(g) = -10*g**3 - 6. Let t = 51 + -34. Let s(r) = -3*r**3 - 2. Let x(p) = t*s(p) - 6*j(p). Find the first derivative of x(f) wrt f. 27*f**2 Find the second derivative of -1 - 2*s**3 + 3 - 8*s - 13*s + 2*s**4 + 79*s wrt s. 24*s**2 - 12*s Let j(p) be the second derivative of 1/3*p**3 + 3/2*p**2 + 3*p + 0. Differentiate j(n) wrt n. 2 Let h(v) = -5*v**2 - 3*v. Let p(s) = -s**2 + s. Let n(z) = -3*h(z) + 6*p(z). Find the second derivative of n(i) wrt i. 18 Suppose -5*o + 2 = 32. Let m(u) = -5*u**3 + u**2 + 6. Let r(c) = 15*c**3 - 3*c**2 - 17. Let x(a) = o*r(a) - 17*m(a). What is the third derivative of x(d) wrt d? -30 Let a = 3 - 2. Let p(u) = 4*u**2 + 4*u - 4. Let y(t) = -t. Let c(j) = -j + 1. Let h be c(-3). Let q(d) = a*p(d) + h*y(d). What is the derivative of q(s) wrt s? 8*s Let f(c) be the second derivative of -3/56*c**8 + 0*c**5 + 0*c**2 - 4*c + 0*c**7 + 0 + 1/6*c**4 + 0*c**3 + 0*c**6. Find the third derivative of f(p) wrt p. -360*p**3 Find the second derivative of 24*y + 3*y**2 - 3*y**2 - 9*y - 26*y**4 wrt y. -312*y**2 What is the second derivative of 4*s**2 - 3*s + 8*s**2 - 4*s - 9*s**2 wrt s? 6 Suppose -5*g = -3*z, -5*g - 5*z + 27 + 13 = 0. Let o be (-10)/(3*(-2)/g). What is the derivative of b - b + o - 4 + 3*b**2 wrt b? 6*b Suppose -5*c + 2*l = l - 19, -14 = -3*c - 2*l. Let x be (c + -5)/((-1)/2). Differentiate 4 - x*m**2 + m**2 - 3 with respect to m. -2*m Let b be (3/3 - 1) + 2. Let l be 24/6*b/4. Find the third derivative of 12*t + t**l - 12*t - t**4 wrt t. -24*t Suppose -9 = -3*b + 9. Suppose -b*o = -2*o - 16. What is the second derivative of -o*f**2 + 4*f + f**2 + 7*f**2 - 2*f**2 wrt f? 4 Let p(f) be the third derivative of f**8/56 + f**4/6 + 6*f**2. Find the second derivative of p(q) wrt q. 120*q**3 Let a(u) be the third derivative of u**4/24 - u**3/6 - 5*u**2. What is the derivative of a(p) wrt p? 1 Let x(y) = 2*y**3 + 6*y**2 - 6*y - 7. Let t(z) = -z**2 + z. Let i(c) = 6*t(c) + x(c). Find the first derivative of i(f) wrt f. 6*f**2 What is the second derivative of -181 + 12*o + 9*o**2 + 181 wrt o? 18 Let g(n) be the second derivative of 5*n**4/2 - 5*n**3/2 + 8*n. What is the second derivative of g(v) wrt v? 60 Let v(m) be the second derivative of m**7/280 + m**6/120 + m**3/3 - 3*m. Let y(a) be the second derivative of v(a). Find the third derivative of y(l) wrt l. 18 Suppose -4 - 4 = -2*f. Find the second derivative of 2*k - 15*k**f - 9*k + 22*k**4 wrt k. 84*k**2 Suppose -3*n + 7 = -8. Find the second derivative of y**4 + 2*y + 0*y + n*y - 5*y**4 wrt y. -48*y**2 Let k(q) = -47*q**4 + 8*q**3 + 37*q**2 - 8*q. Let t(h) = 31*h**4 - 5*h**3 - 25*h**2 + 5*h. Let d(a) = -5*k(a) - 8*t(a). Find the third derivative of d(y) wrt y. -312*y Let s(q) be the third derivative of q**8/280 + q**5/30 - q**3/3 - 5*q**2. Let v(m) be the first derivative of s(m). What is the second derivative of v(c) wrt c? 72*c**2 Let h(t) be the third derivative of 0*t**6 + 0 + 0*t + 0*t**3 + 1/6*t**4 + 0*t**5 + 2/105*t**7 - 3*t**2. What is the second derivative of h(p) wrt p? 48*p**2 Find the third derivative of -4*h**2 - h**2 + 9*h**4 + 2*h**2 wrt h. 216*h Let j(k) be the thir
{ "pile_set_name": "DM Mathematics" }
le of u and 3. 3 Let s = 1191640879/35858088 - -4/640323. Let o = s - 216/7. Calculate the common denominator of (-4)/(96/(-219)) + 0 and o. 8 What is the common denominator of (-1 + (-220)/12 - -4) + 0 and -61/4? 12 Let k(s) = 13*s**2 - s. Let a = -1 - 0. Calculate the lowest common multiple of k(a) and 2. 14 Let x be (-21102)/(-31392) + (-1)/4. Let q = 5/327 + x. Calculate the common denominator of q and 5/12. 48 Suppose -z + 3*m + 32 - 5 = 0, 0 = -3*z - 5*m + 95. Calculate the smallest common multiple of 18 and z. 90 Let c(h) = -21*h + 1. Let z be c(-3). Suppose 5*g + 9 - z = 0. Suppose -6*v + 4*v = -22. Calculate the smallest common multiple of v and g. 11 Let i = -11579 - -6287389/543. Let p = -3596/1629 + i. Calculate the common denominator of 17/11 and p. 99 Suppose 19 = 5*o + 3*g - 6, 0 = 5*o - 5*g - 25. Suppose -5*q = o + 10. What is the lowest common multiple of 2/q*(-15 - -3) and 7? 56 Let p = -638059/165740 - 2/8287. Let b(q) = -20*q**2. Let m be b(-1). What is the common denominator of p and (0 - 2) + 57/m? 20 Let x(m) = m**2 - 12*m - 7. Let v be x(7). Suppose 7 = 3*l + 1. Calculate the lowest common multiple of ((-36)/14)/(9/v) and l. 12 Let q = -3 + 7. Suppose q*r - 5*o - 2 = 2, -2*o = 4*r - 32. What is the least common multiple of 8 and r? 24 Let j(l) = 2*l**2 - 3*l - 5. What is the smallest common multiple of 2 and j(-2)? 18 Let l be ((-132)/(-200))/(2/12). Let f = l + -2657/450. What is the common denominator of 61/16 and f? 144 What is the smallest common multiple of 16 and (-26)/(-247) - (-984)/38? 208 Let x be (18/(-5))/((-20643)/(-70)). Let l = x - 89213/19660. Calculate the common denominator of -45/8 and l. 40 Let y = 76219/30 - 5087/2. Find the common denominator of y and 121/6. 30 Suppose -3*a + 0*a = 30. What is the common denominator of (3/(-9))/(3/(834/4)) and 1065/(-200) + (-2)/a? 24 Let p be (-5 - -4)*(-7 - 1). Suppose -3*v - v = -p. Calculate the least common multiple of 20 and v. 20 Let a = -14 - -23. What is the least common multiple of 24 and a? 72 Let t be 51872164/(-6148296) + (-2)/(-9). Let r = t - -4/12199. Calculate the common denominator of -81/4 and r. 28 Let y(z) = -z**3 + 7*z**2 + 9*z + 2. Calculate the least common multiple of y(8) and 8. 40 Suppose 0 = m - 4*h + 10 - 4, -4*m + 2*h = -46. Suppose 31 + 59 = 5*q. Calculate the smallest common multiple of (-4)/((-40)/q - -2) and m. 126 Suppose 2*j - 8 = -4*a, -1 = -4*j - a + 1. Find the common denominator of j + 2 - (-183)/18 and -19/22. 66 Suppose -2*h + 116 = 2*o, -2*h - 98 = -2*o + 2*h. Calculate the lowest common multiple of o and 15. 165 Let g = 344627/37870 - 1/3787. What is the common denominator of g and (-2)/(-14)*(-20 + 30)? 70 Let j(d) = d + 2. What is the smallest common multiple of j(6) and 8? 8 Let c(f) = -f + 2. Let n(d) = 1. Let k(h) = c(h) + 2*n(h). Let a be k(4). Suppose -g + 4 = -a. Calculate the smallest common multiple of g and 2. 4 Suppose -2*r - 1 = -3. Calculate the smallest common multiple of 16 and 32/(4 - 0)*r. 16 Suppose n + 8 = 5*n. Let y(h) = -h**3 - 2*h**2 + 3*h. Let d be y(-3). Suppose -n*u = -d - 6. What is the least common multiple of 10 and u? 30 Let o(l) = 3*l + 1. Let g(k) = -k + 2. Let w be g(0). Let p = w + -1. Calculate the smallest common multiple of 6 and o(p). 12 Let v be (-3)/((-9)/(-2))*58. Let k be 3 + (-2 - (-1166)/(-30)). Let x = v - k. What is the common denominator of 16/7 and x? 35 Suppose -4*r - r - 30 = 0. Calculate the common denominator of 61/10 and (-2)/((-8)/(-13))*r. 10 Suppose s - 4*n + 8 = -0*s, 4*n = 5*s - 8. What is the least common multiple of 6 and s? 12 Let s = -5855 + 93777/16. Find the common denominator of s and -17/58. 464 Let s(w) = -w**3 + 5*w**2 + 2*w - 12. Let o be s(6). Let h = 52 + o. Suppose 4*l = -0*l + 8, -b + 5*l + 10 = 0. What is the least common multiple of h and b? 80 Let r = -29235/8 + 3667. Calculate the common denominator of r and -52/9. 72 Suppose -4*u + 4*c + 8 = 0, u - 5*c + 2 = -0. Suppose 6 + 8 = 5*y - 2*n, -2*n - 10 = -u*y. What is the least common multiple of y and 6? 6 Let n be (3*1)/((-12)/84). Let t = 139627/37455 + -2/3405. Find the common denominator of t and -3 + ((-372)/n)/2. 77 What is the common denominator of 31/16 and (1/(-21)*1)/((-16)/(-141))? 112 Let h = 13 + -9. Let r be (-101)/(-11) + h/(-22). Let u = r - -7. Calculate the smallest common multiple of u and 6. 48 Let b(l) = -2*l - 10. Suppose 2*v + 42 = -v. Calculate the lowest common multiple of b(v) and 2. 18 Suppose 0 = -3*i - i + 20. Suppose 3*y - i*y = -2. Calculate the lowest common multiple of y and 1. 1 Suppose 4*f = 40 + 4. Let o = f + -4. Suppose 0 = 2*x - 0 - 8. Calculate the smallest common multiple of x and o. 28 Let o be 15096/180*813/6128. Let m = -3/1915 + o. Find the common denominator of -109/6 and m. 24 Let n be (-2)/7 + 48/21. Suppose -n*j = j - 6. What is the smallest common multiple of 18 and j? 18 Suppose -5*o = 2*x - 1, -4*x - 3*o = -2*x - 7. Let s = 6 + 2. Calculate the least common multiple of s and x. 8 Calculate the common denominator of 3/2*30/(-11) and 100/(-14) - (-15)/(-35). 77 Let z = 9 + -9. Suppose 3*i - 4*a + 0*a + 2 = z, 2*i + 4 = 4*a. Calculate the least common multiple of i and 2. 2 What is the common denominator of -17/4 and (258/32)/(9/4)? 12 Let j(u) = -u - 6. Let a be j(-8). What is the smallest common multiple of a/(-8) + 51/12 and 2? 4 Suppose -318 = -3*f + 2*k, 0 = -5*f + f + 2*k + 422. Suppose 56 = -2*o - 2*j, 5*o = 2*o + j - f. What is the common denominator of o and -18/19? 19 Let t = 2/803 - 40967/5621. Find the common denominator of t and (3/6)/(18/28). 63 Calculate the least common multiple of 18 and (119/(-21))/((-2)/24). 612 Suppose -8*c - 88 = -12*c. Suppose 5*j + 3*w - 107 = 0, 3*j - 2*j - w - 23 = 0. Calculate the smallest common multiple of c and j. 22 Find the common denominator of 106/42 - (-10)/(-30) and -83/48. 336 What is the common denominator of ((-2)/(-72))/((-8)/(-1552)) and -59/34? 306 Suppose -5*h + s = 3*s, 2*h + s + 1 = 0. Find the common denominator of 11/20 and 935/(-121)*h/4. 220 Let z be (-14)/(-1) + (-2)/2. Calculate the smallest common multiple of z - 2 - 4/2 and 9. 9 Suppose 4*a = 3*a - 13. Let o = a - -17. What is the smallest common multiple of 20 and o? 20 Calculate the common denominator of 1378/(-117)*2/4 and -29/10. 90 Suppose a + 2*a = 24. Let v(c) = -7*c - 1. Let m(f) = -15*f - 1. Let y(o) = 6*m(o) - 13*v(o). What is the lowest common multiple of y(-5) and a? 8 Let c(j) = -2*j + 4. Let i be c(-9). Suppose 2*v = i - 2. Calculate the least common multiple of 2 and v. 10 Let p be -480 - 3 - (1 - 3). Let q = 220/343 - -517270/1029. Let i = q + p. Find the common denominator of 18/7 and i. 21 Calculate the common denominator of 0/2 + (-258)/(-24) and 169/126. 252 Suppose -2*i + 10 = 3*i. Calculate the smallest common multiple of i and 3. 6 Let s = 97 - 90. Calculate the smallest common multiple of 39 and s. 273 Let m = 145220678 + -336476322342/2317. Let s = -4966 - -3287491/662. Let q = s + m. Calculate the common denominator of q and -5/8. 56 Calculate the common denominator of 111/20 and (-13)/(-13) - (-202)/12. 60 Let v(z) = 3*z**3 + 2*z**2 + z + 2. Let k(t) = -16*t**3 - 9*t**2 - 4*t - 9. Let b(d) = -2*k(d) - 11*v(d). What is the smallest common multiple of b(-4) and 6? 24 Let k = -239/168 - -190/21. What is the common denominator of k and -55/28? 56 Let t(x) = -x**3 - 3*x**2 - 2*x - 1. Let s be t(-2). Calculate the common denominator of s/(-3) + (-37)/18 and 28/100*20/(-16) + -4. 180 Let v be -1 - 3/(9/(-192)). Let u(s) = s**3 - 11*s**2 - 5*s + 10. Let j be u(11). Let i = v + j. What is the smallest common multiple of i and 22? 198 Find the common denominator of (-508)/48 + 0/(-2) and (1/12)/((-3)/(-273)). 12 Suppose -3*h - 106 + 160 = 0. Let d = 44 + -22. What is the least common multiple of h and d? 198 Suppose 0 = -4*t - t - 20. Find the common denominator of (-1048)/80 + (-2)/t and 51/2. 10 Let t be 1*(-2)/(5 + -3). Calculate the common denominator of -35/2 and -10*t/(4/(-5)). 2 Let r = 63 - 90. Let a = r - -38. What is the smallest common multiple of 4 and a? 44 Suppose -20 = -4*z + 12. What is the lowest common multiple of z and 6? 24 Suppose 5*l - 20 = 2*f + f, -3*l = -12. Let a(h) = h + 12116. Let d
{ "pile_set_name": "DM Mathematics" }
divided by s. 34 Let l(x) = -x**3 - 4*x**2 + 5*x + 4. Let j be l(-5). Suppose 3*q = q - i + 10, 16 = j*q + i. What is the remainder when 7 is divided by q? 1 Suppose -4*b + 116 = 4*u, -b + 3*u + 99 = 2*b. Calculate the remainder when 90 is divided by b. 28 Let i(t) = t + 4. Let o = -4 - -1. What is the remainder when 2 is divided by i(o)? 0 Suppose l + 20 = 5*l. Let n(o) = 3*o - 1. Calculate the remainder when 40 is divided by n(l). 12 Let p = 31 + 19. What is the remainder when p is divided by (-3)/(-6)*-2 + 14? 11 Suppose 5*q - 317 + 102 = 0. Calculate the remainder when q is divided by 15. 13 Let c be 1/(-3)*(3 + 0). Let j = 4 + c. Suppose 5*q - 30 = 2*q - 3*y, 0 = 5*q - 2*y - 15. Calculate the remainder when q is divided by j. 2 Let c = 0 - -3. Suppose -2*b = -0*b. Suppose -q - a = -b*a, 0 = -a - 4. What is the remainder when q is divided by c? 1 Suppose 0 = -5*w + 55 - 5. Let o = 33 - 68. What is the remainder when 7/14*(-1 - o) is divided by w? 7 Let b(i) = -12*i - 8. Let d be b(-10). Let g = d + -74. Calculate the remainder when g is divided by 13. 12 Suppose -3*h - 9 = -3*n, n = 6*n - 2*h - 12. Let s = n + 1. Calculate the remainder when 8 is divided by s. 2 Let v(j) = 6*j**3 - 6*j**2 + 8*j - 14. Let f(a) = 5*a**3 - 6*a**2 + 7*a - 13. Let w(g) = -7*f(g) + 6*v(g). What is the remainder when w(-6) is divided by 7? 6 Let v = 27 - 21. Calculate the remainder when 23 is divided by v. 5 Let w(b) = -3*b - 22. What is the remainder when 99 is divided by w(-14)? 19 Let u = -20 + 48. Let t be (-296)/(-7) + 4/(-14). Suppose 4*r - 32 = -2*n, -3*r + 6*n = 3*n - t. Calculate the remainder when u is divided by r. 8 Suppose 0 = 3*a - q - 7, -6*a - 4*q + 11 = -5*a. Let l = -20 - -33. What is the remainder when 10/a*(-15)/(-2) is divided by l? 12 Let j be (-60)/(-14) - 12/42. Suppose -h - 60 = -j*h. What is the remainder when 79 is divided by h? 19 Let r = -9 + 14. Let b be (-2)/5 - (-27)/r. Calculate the remainder when 30 is divided by ((-16)/(-5))/(1/b). 14 What is the remainder when -8*(1 + (9/(-2))/3) is divided by 2? 0 Suppose -4*w + 5*w = 8. Let v = 5 - -16. What is the remainder when v is divided by w? 5 Let t(a) = 2*a**2 - 18*a - 2. Calculate the remainder when t(10) is divided by 7. 4 Let c = -32 - -68. Suppose -2*p = 2*p + c. What is the remainder when p/(-12)*(1 + 27) is divided by 12? 9 Suppose -140 = -2*q - 5*y, 4*q - 3*q - 64 = -y. Calculate the remainder when q is divided by 21. 18 Suppose 0 = -2*j + j - 4*m + 49, 5*j - 245 = 3*m. Calculate the remainder when j is divided by 13. 10 Calculate the remainder when 2/6 + (-1127)/(-21) + 8 is divided by 21. 20 Suppose -4*o + 35 = 3*q, -4*q - 4*o - 7 + 47 = 0. Suppose -q*r = -r - 64. What is the remainder when 31 is divided by r? 15 Let h(w) = -3*w - 14. Let o = 16 - 1. Calculate the remainder when o is divided by h(-6). 3 Let i(y) = 8*y + 6. What is the remainder when 119 is divided by i(3)? 29 Suppose 28 = -z - 55. Let i = -53 - z. What is the remainder when i is divided by 11? 8 Suppose 0 = -2*n - 2*d + 42, -2*n + 2*d = -18 - 40. Let s(t) = 10*t**2 + 10*t - 12. What is the remainder when s(2) is divided by n? 23 Suppose 0 = -3*d + 5*t - 15, 3*d - 4*t + 24 = 6. Let r(u) = -u**3 - 10*u**2 - u - 4. What is the remainder when 9 is divided by r(d)? 3 Let b(m) = m**2 + 3*m - 5. Let a be (-3)/9 - (-76)/3. Suppose -6*u - a = -u. What is the remainder when b(u) is divided by 2? 1 Let t(u) = -3*u + 0 + 2 - u. Calculate the remainder when 41 is divided by t(-3). 13 Suppose 2*y + y - 48 = 0. Let f be 2*-12*(-1)/2. Let z = y + f. Calculate the remainder when z is divided by 15. 13 Let v(y) = -15*y + 3. Let h be v(2). Let n = -20 - h. What is the remainder when 19 is divided by n? 5 Suppose 0 = -5*c + 2*r - 4*r + 79, -3*c + 48 = r. Calculate the remainder when 31 is divided by c. 14 Let t = 1 + 1. Suppose 5*a - 4*n = 347, 100 = t*a + 3*n - 25. What is the remainder when a is divided by 23? 21 Suppose 6*d = -d + 35. Calculate the remainder when 8 is divided by d. 3 What is the remainder when 18 is divided by (5/30)/((-3)/(-30))*6? 8 Suppose 0 = 4*d - 11 - 57. What is the remainder when d is divided by 9? 8 Let f(x) = 28*x**2 + x. Let h be f(-1). Let z = -5 + 5. Suppose -45 = -5*k - 5*w, -w = -3*k - z*w + h. Calculate the remainder when 26 is divided by k. 8 Let c(m) = m + 3. Let k be c(0). Calculate the remainder when 19 is divided by (k + -2)*(-2 + 7). 4 Suppose 0 = 10*f - 8*f - 6. What is the remainder when (-2)/f - (-214)/6 is divided by 18? 17 Suppose 2*c - r = 72, 0 = -c + 5*c - 3*r - 142. What is the remainder when c is divided by 27? 10 Suppose 3*s + 5 = -1. Let p be 5/s*72/(-20). Suppose 15 + p = 4*o. Calculate the remainder when 15 is divided by o. 3 Let q be (-2)/3*(-684)/8. Suppose -v + q = 2*v. Calculate the remainder when v is divided by 7. 5 Let p(z) = 2*z - 12. Let y(h) = -2*h + 11. Let i(j) = -5*p(j) - 6*y(j). Let a be i(7). Let d = a - -10. Calculate the remainder when d is divided by 10. 8 Suppose -2*f - 3*k = -97, -4*k + 5 = -3*k. Suppose 2*w + 10 = x, -80 = -5*x - 0*x - 5*w. What is the remainder when f is divided by x? 13 Let a be ((-3)/2)/((-3)/(-20)). Suppose 0 = -5*v + 31 + 49. What is the remainder when v is divided by 0 - 0 - (1 + a)? 7 Calculate the remainder when 78 is divided by 1 + (6 - 4) + 13. 14 Let p(i) = i**3 - 14*i**2 - 16*i - 1. Let m be p(15). Suppose 2*o - 46 = 4*o. Let v = m - o. Calculate the remainder when 12 is divided by v. 5 Suppose h = -0*h + 33. Suppose q - 6 = -3. Suppose -o = -i - 11, -h = -3*o - q*i + i. Calculate the remainder when 31 is divided by o. 9 Suppose -75 - 98 = -3*j + u, 0 = 3*j + 4*u - 163. Calculate the remainder when j is divided by (36/(-14))/((-7)/((-686)/(-21))). 9 Let i = -21 - -24. What is the remainder when 7 is divided by i? 1 Let u be (-3 + 2)*(4 - -1). Suppose -4*z + 2 - 62 = 0. Let o = u - z. Calculate the remainder when 28 is divided by o. 8 Let g be (8/10)/((-1)/(-10)). Let m = -6 + g. Suppose -m*n + 18 = 4*d, 4*n = -15 + 3. Calculate the remainder when d is divided by 4. 2 Let x = 45 + -43. What is the remainder when (9*-1)/((-3)/2) is divided by x? 0 Suppose 5*h - 38 = -w, -3*w = -w - 3*h - 37. Calculate the remainder when 67 is divided by w. 21 Let a(t) = 3*t**3 - 4*t**2 - 4*t + 12. What is the remainder when a(3) is divided by 6? 3 Let a(x) = -x**2 - 6*x + 1. Let n be a(-6). Calculate the remainder when 2*(3/n + -1) is divided by 3. 1 Let z(k) = -k**2 + k + 4. Let u be z(3). Let p be u*(-7*1)/1. Suppose i + i - p = 0. Calculate the remainder when 19 is divided by i. 5 Let x(t) = -t**2 + 15*t - 14. Let u be x(10). Suppose 4*d = -0*d + u. Let q = -4 + 21. Calculate the remainder when q is divided by d. 8 Let a = -21 - -36. Calculate the remainder when 37 is divided by a. 7 Suppose -4*s + 7 = -3*s - b, b - 48 = -4*s. Calculate the remainder when s is divided by 6. 5 Let t = 16 + 36. What is the remainder when t is divided by 18? 16 Let q be 0 - 2 - 1 - -1. Let m(u) = -14*u - 4. Calculate the remainder when m(q) is divided by 13. 11 Let m = -11 + 15. Suppose 3*d - m = -1. Calculate the remainder when 3 is divided by d. 0 Let i = 42 + -14. Let v(x) = -6*x - 3. Calculate the remainder when v(-2) is divided by 147/i + (-2)/8. 4 Let l be (-35 + 4)*3 - -4. What is the remainder when 68 is divided by l/(-4) + 27/36? 22 Let h = -28 + 48. Suppose 99 = 4*m + 3*v, 4*m - 2*v - 116 = -22. Let z = m + -17. Calculate the remainder when h is divided by z. 6 Let r(x) be the third derivative of -x**6/120 - 7*x**5/60 - x**4/8 - 7*x**3/6 + x**2. Calculate the remainder when 67 is divided by r(-7). 11 Suppose -5*a = 5, 0*o = -3*o + 4*a + 13. Let x be o + 4/(-1) + 3. Suppose -42 = -x*p + 32. Calculate the remainder when p is divided by 13. 11 Suppose -3*l = 4*b - 148, 238 = 3*l + 2*l - 2*b. Suppose f = -3*f + l. Calculate the remainder when 34 is divided by f. 10 Let z = 4 - -45. Calculate the remainder when z is divided by 13. 10 Suppose -4*i - 1 = 5*j - 2, -7 = 4*i - 3*j. What is the remainder when 17 is divided by 10*(i + 2) - 1? 8 Suppose -2*x - 11 = -33. Calculate the remainder when 31 is divided by x. 9 Let z(g) = -5*g. Let a be z(-1). Suppose 165 = 6*d - d + 3*y, 0 = -4*d - a*y + 132. Calculate the remainder when d is divided by 2 + (16 - (
{ "pile_set_name": "DM Mathematics" }
30) + sqrt(3630) + sqrt(3630) - sqrt(3630))*-6)/(-4*-2*sqrt(1000)). -33*sqrt(3)/40 Simplify (-5*-2*(sqrt(108)/sqrt(4) - sqrt(27)))/((sqrt(81) + sqrt(81) + (sqrt(81) - -6*1*sqrt(81)))/sqrt(9)). 0 Simplify (sqrt(832) - (sqrt(832) + 0))**2 + sqrt(468) + (sqrt(468) - sqrt(468)*-1) - (5*sqrt(91)*1 + sqrt(91))/sqrt(7). 12*sqrt(13) Simplify (-4*1*sqrt(3300) + sqrt(3300))/(sqrt(99)/(sqrt(45)/sqrt(5)*5)). -150*sqrt(3) Simplify (sqrt(140)/(sqrt(1008)*-1))/(sqrt(120)/(sqrt(24)/sqrt(2))*1). -sqrt(2)/12 Simplify (6*(sqrt(119) - 2*sqrt(119)) - (-2*sqrt(119) - sqrt(119) - sqrt(119))*2)/((sqrt(252) - -3*sqrt(252)*2) + sqrt(252) + sqrt(252)). sqrt(17)/27 Simplify (-5 + (5*(-2 + sqrt(891)) - sqrt(891))*2 + 5)**2. -2880*sqrt(11) + 57424 Simplify -6*sqrt(350)/(sqrt(21)/sqrt(3)) + 5. -30*sqrt(2) + 5 Simplify ((((-2 + sqrt(1088))*3 - sqrt(1088)) + 2 + sqrt(1088) + -4)*-2)**2. -1536*sqrt(17) + 39424 Simplify (sqrt(171) + sqrt(171)*2)/sqrt(9) - (2 + sqrt(2299)) - (sqrt(304)/sqrt(8)*5)/sqrt(2). -13*sqrt(19) - 2 Simplify (((sqrt(270) + (sqrt(270)*2 + sqrt(270))*2 + sqrt(270))/sqrt(9))/((sqrt(126)/sqrt(3))/sqrt(7)*-5))**2. 64/5 Simplify -5 + (sqrt(121)/(sqrt(132)/(sqrt(24)/sqrt(2))) + 5)**2 + 4. 10*sqrt(11) + 35 Simplify -3*sqrt(6)/(sqrt(288) + (3*sqrt(288) + sqrt(288) - sqrt(288)) - sqrt(2))*-4. 12*sqrt(3)/47 Simplify (-3*(2*sqrt(77)*5 - sqrt(77)))/(-2*sqrt(1008) - (sqrt(567) + -2*sqrt(567))). 9*sqrt(11)/5 Simplify (4*(-4 + 0 + (sqrt(112) + -1 - sqrt(7)))*-2)**2. -1920*sqrt(7) + 5632 Simplify (-2 + -1*sqrt(396) - sqrt(396) - (0 + -1 + sqrt(396) + sqrt(396)) - ((sqrt(396) - (4 + sqrt(396) + -1))*-3)**2) + 4. -24*sqrt(11) - 78 Simplify 1*(sqrt(162) + -4 + 0 - (sqrt(162) + sqrt(162) + (sqrt(162) - (1 + sqrt(162) - sqrt(162) - sqrt(162)))*-3))**2. -630*sqrt(2) + 4099 Simplify 6*(-2 + sqrt(17) + 0)**2 - (4 + (sqrt(153)*2)**2 + sqrt(153)). -490 - 27*sqrt(17) Simplify (-3 + (1*sqrt(768) - (sqrt(108)/(sqrt(63)/sqrt(7)) - sqrt(12))) + 5)**2. 64*sqrt(3) + 772 Simplify (sqrt(304) + 0)*1 - ((-1 + sqrt(19))*3 + 1). 2 + sqrt(19) Simplify (3*(-3 + 0 + sqrt(288) + sqrt(288)*-2 + 0 + sqrt(288)))**2. 81 Simplify (1 + -3*sqrt(192) + 3 + -3)**2. -48*sqrt(3) + 1729 Simplify ((sqrt(91)*-1 - sqrt(91))*-6 + -2*(sqrt(91) + sqrt(91)*-2))/(sqrt(343) + 2*sqrt(343)*2). 2*sqrt(13)/5 Simplify ((sqrt(19)*-1 + -1)**2 + (sqrt(2736) + -5 - sqrt(19)))*-6. -78*sqrt(19) - 90 Simplify (((sqrt(133) + sqrt(133)*-2)*2*3)/(-2*sqrt(28) - -1*sqrt(448)))**2*6. 513/2 Simplify (sqrt(252)*5 - sqrt(28))/(sqrt(36)/(sqrt(9)*-4 - sqrt(9))). -70*sqrt(7) Simplify (-1 + (1 + sqrt(147) - sqrt(147))**2 - sqrt(147)) + 3 + sqrt(147)*3 + -3. 14*sqrt(3) Simplify -5*(2*sqrt(156))/sqrt(12) + 5 + sqrt(13) + -1 + -1. -9*sqrt(13) + 3 Simplify -6*(sqrt(98) + 3) + sqrt(98) - (((sqrt(128) + 2)**2 - sqrt(128)) + -1). -149 - 59*sqrt(2) Simplify -6*((-5*((sqrt(475) - (sqrt(475) + 0)) + sqrt(19)) + 0)**2 + -3)*-3. 8496 Simplify 4*(((1*sqrt(1573))**2 - sqrt(13)) + (-3*sqrt(26))/sqrt(2)). -16*sqrt(13) + 6292 Simplify -3 + ((sqrt(24) + (-1*sqrt(24) + sqrt(24) - sqrt(24)))*2)/(sqrt(88)/(sqrt(11) + (sqrt(11) - sqrt(11)*1) + sqrt(11))). -3 Simplify ((sqrt(136) + (-3*2*sqrt(136) - sqrt(136)) - sqrt(136))/(-3*sqrt(128) + sqrt(128) + sqrt(128))*-1)**2. 833/16 Simplify -1 + 4 + (sqrt(132)/sqrt(108) - (sqrt(1100) + 1)) + 1. -29*sqrt(11)/3 + 3 Simplify (((-1*sqrt(561))/sqrt(11))/(sqrt(12)/sqrt(4)*2) + 5)**2. -5*sqrt(17) + 117/4 Simplify (sqrt(13) - (sqrt(1300) - (sqrt(1300) - sqrt(1300)*-2) - sqrt(1300)))**2 - ((sqrt(26)/sqrt(2) - sqrt(13)) + -2) - 6*6*-4*sqrt(13). 144*sqrt(13) + 12495 Simplify ((sqrt(108) + 2)*-1 + 2)*4. -24*sqrt(3) Simplify ((sqrt(153) - (sqrt(153) + (-3*sqrt(153) - sqrt(153)) + sqrt(153) + sqrt(153)))/sqrt(3) - sqrt(51))/(sqrt(192) + sqrt(192)*1 + sqrt(192))*-5. -5*sqrt(17)/24 Simplify (-5 + sqrt(25)/sqrt(5) - (sqrt(125) + 0)) + -1*((sqrt(5) - sqrt(5)*2) + 2 - sqrt(5) - sqrt(5)). -7 - sqrt(5) Simplify (-3*(sqrt(18) + sqrt(162) + sqrt(18)))/(sqrt(54)/(-1*sqrt(9))) + -4. -4 + 15*sqrt(3) Simplify -2*sqrt(132)/(sqrt(12) - (sqrt(144)*-1)/sqrt(12)) + (sqrt(44) + -6*sqrt(88)/sqrt(2))/((-1*sqrt(64) - sqrt(64)) + sqrt(64) + sqrt(64) - sqrt(64)). sqrt(11)/4 Simplify 5*((sqrt(475) - -2*2*sqrt(475)) + (sqrt(475) - (-1*(sqrt(475) + 1))**2))*5*-4. -2000*sqrt(19) + 47600 Simplify 2 + 3*sqrt(605) + sqrt(15)/sqrt(3)*5. 2 + 38*sqrt(5) Simplify (sqrt(35) + sqrt(350)/(sqrt(30)/sqrt(3)) + (sqrt(2240) - sqrt(2240)*2 - sqrt(2240)))/(sqrt(56)/(sqrt(16)/sqrt(2))*5). -14*sqrt(5)/5 Simplify ((-3 + sqrt(98)*-1)*-1*-5)**2. 1050*sqrt(2) + 2675 Simplify (-5 + (sqrt(76) + sqrt(76) + 1 - sqrt(76)) + 4 - (3 + sqrt(76)/sqrt(4) + -2)*3)**2. 6*sqrt(19) + 28 Simplify (5 + 1 + sqrt(208) - (-5 + sqrt(13) + 2*sqrt(13)*2))**2*2. -44*sqrt(13) + 268 Simplify sqrt(20)*4 + 2 + 4 + ((5*(sqrt(120)/sqrt(2) + sqrt(60)))/(1*sqrt(768)))**2. 221/16 + 8*sqrt(5) Simplify (((1 + sqrt(153) + 4 + sqrt(153) + sqrt(153))**2 - (-5 + sqrt(153)*-5)) + 2)*-1. -1409 - 105*sqrt(17) Simplify 1*(2*sqrt(2450)*2 + sqrt(2450))/((sqrt(10) - (sqrt(110)*-2)/sqrt(11))*2). 35*sqrt(5)/6 Simplify 5 + (5*1*sqrt(88) + sqrt(88) - sqrt(88))/(sqrt(32)/(sqrt(4)*-1)) + 4. -5*sqrt(11) + 9 Simplify ((sqrt(2744) + sqrt(2744)*-1 + sqrt(2744))/(sqrt(48)/(sqrt(6) + sqrt(24)/sqrt(4))) + 1)**2 + 3. 28*sqrt(7) + 1376 Simplify (sqrt(891) + 0 + sqrt(891))**2 + (sqrt(11)*-3)**2*5 - (sqrt(275)*-3 - ((sqrt(11) - 2*(sqrt(11) - sqrt(22)/sqrt(2))) + sqrt(11) - sqrt(11))). 16*sqrt(11) + 4059 Simplify 3*((sqrt(425) - sqrt(425)*-1)*2 + 6*(1 + sqrt(17))**2 + ((0 + sqrt(17))**2 - sqrt(17))*4). 84*sqrt(17) + 528 Simplify (sqrt(336)*2 + sqrt(336) - (sqrt(21) + sqrt(336)*3))/(((sqrt(75)*-3 + sqrt(75) - sqrt(75)) + sqrt(75))*-4). -sqrt(7)/40 Simplify (-1*4*(sqrt(117) + 0))**2 + 3. 1875 Simplify (0 + sqrt(425))*-3 + (sqrt(425) + 0)*-2 - (2*(sqrt(425) + 0 + sqrt(425)))**2*2. -13600 - 25*sqrt(17) Simplify -3*(sqrt(76) + -1) + -5 + 1*(0 + sqrt(1539) + 0). -2 + 3*sqrt(19) Simplify -1 + -5*(-1*(sqrt(12) - sqrt(48))/sqrt(4))**2*1. -16 Simplify (1*(4*sqrt(1815))/((sqrt(25) + sqrt(25) + sqrt(25) + sqrt(250)/sqrt(10))/sqrt(5)))**2. 363 Simplify ((-2 + -3 + sqrt(2))**2 - (sqrt(32) + 0))*1. -14*sqrt(2) + 27 Simplify (-5*sqrt(891)*2 - ((-6*sqrt(1331)*2)**2 + sqrt(1331))) + 4. -191660 - 101*sqrt(11) Simplify (sqrt(125) - (-2*sqrt(125) + sqrt(125))*1 - (4 + (sqrt(125)*1)**2)) + -2 + 1. -130 + 10*sqrt(5) Simplify 4*(sqrt(5) - ((sqrt(40)*-1)/sqrt(8))**2 - sqrt(5)) + (sqrt(270) + -2*sqrt(270) - sqrt(30) - sqrt(30))/sqrt(6) + 1. -19 - 5*sqrt(5) Simplify (5*(sqrt(35) - sqrt(315))*-6)/((-1*sqrt(45) - sqrt(5))*-2). 15*sqrt(7)/2 Simplify (sqrt(112)/(1*sqrt(2)) + sqrt(504)/sqrt(36))/(2*sqrt(392)*6). sqrt(7)/56 Simplify -5 + (5*sqrt(120)/sqrt(3))/((sqrt(8) + sqrt(16)/sqrt(2))*1). -5 + 5*sqrt(5)/2 Simplify (sqrt(9)*-5*3)/(-4*sqrt(3)*-5). -3*sqrt(3)/4 Simplify (sqrt(272) + (1 + sqrt(272))*4 - (sqrt(272)*3 + sqrt(272) + sqrt(272) + -5))**2. 81 Simplify (4*(sqrt(130) - (sqrt(130) + (sqrt(130) - -2*sqrt(130)) - sqrt(130)))*-5)/(sqrt(160)*-2*1). -5*sqrt(13) Simplify (3*(sqrt(110) - (sqrt(110) + 1*sqrt(110) + sqrt(110))*4))/((sqrt(60) + sqrt(360)/(-1*sqrt(6) - sqrt(6)))/sqrt(6)). -66*sqrt(11) Simplify (-4*(sqrt(2) + sqrt(12)/sqrt(6))*-6 - (sqrt(2)*2 + -4 + 4))**2. 4232 Simplify -1 + sqrt(1300) + sqrt(1300) + 6*sqrt(13)*1 - (1*sqrt(637) + -1)**2. -639 + 40*sqrt(13) Simplify (-3*sqrt(128)*-3*-6 + -2*sqrt(128) + -5 + 1)**2. 3584*sqrt(2) + 401424 Simplify (6*(sqrt(2299) - (sqrt(2299) - sqrt(2299)*-1)*-5))**2*1. 10014444 Simplify 2*(sqrt(2800) + sqrt(2800)*1)/(sqrt(4) + sqrt(12)/(sqrt(3) + (sqrt(3) - sqrt(3)*-2) - sqrt(3) - sqrt(3)) + sqrt(4)). 16*sqrt(7) Simplify (-1*(-3 + (-1 + sqrt(1216))*6 + sqrt(1216) - ((-2*sqrt(1216) + -3 - sqrt(1216)) + sqrt(1216) + sqrt(1216) + 3 + 1*sqrt(1216))))**2. -1008*sqrt(19) + 59665 Simplify 4 + (-4 + (sqrt(320) - (sqrt(320)*-2 + -4) - sqrt(320)))**2. 1284 Simplify (sqrt(228) - ((-4*sqrt(228) + sqrt(228))*2 - sqrt(228)))/(sqrt(60)/sqrt(80)). 32*sqrt(19) Simplify (-2 + (2 + 1 + sqrt(425) - sqrt(425) - (1*sqrt(425)*-3 + sqrt(425))))**2. 20*sqrt(17) + 1701 Simplify ((sqrt(475) + -4)*-6 + -1*(-2 + sqrt(76)))**2. -1664*sqrt(19) + 20132 Simplify ((-3 + sqrt(833) - sqrt(833))*6)**2 + 1 + -3 + ((sqrt(833) - (sqrt(833) - (sqrt(833)*4 + sqrt(833))*5)
{ "pile_set_name": "DM Mathematics" }
(n/((n*n/(n/((n*n*((n/((n/(n*n**4/n))/n))/n)/n)/n*n)))/n)))/(n**29/n**(-6)) assuming n is positive. n**(-377/12) Simplify (a*a**2)**35*(a**4)**18 assuming a is positive. a**177 Simplify ((((n/n**(-2))/n)/n)**(-14/11))**(3/26) assuming n is positive. n**(-21/143) Simplify (((v*v**(-1)*v)**(-2/129))**(2/87))**35 assuming v is positive. v**(-140/11223) Simplify ((i*i**(5/4))/i*i*i**(-16)/i)/(((i*i/i**8*i*i)/i)/i)**(-46) assuming i is positive. i**(-1163/4) Simplify (y**(2/61)*y)/y*y**(-5/4)*y*y*y**(-1/13)*y**(-14) assuming y is positive. y**(-42169/3172) Simplify ((r**(1/2)*r)**(-2/5)*(r/(r**(-1/14)/r))/(r/(r/(r*r**(-8/5)))))**(-1/21) assuming r is positive. r**(-29/294) Simplify ((f/f**(-25))/((f*f/(f/((f**3*f)/f*f)))/f*f*f*f*f))/((f**5*f)/(f**24*f)) assuming f is positive. f**37 Simplify ((h/(h/h**(-9)))**(-2/37))**17 assuming h is positive. h**(306/37) Simplify (q**(-5))**(-9)/(q**(-14)/(q**(-2)/q)) assuming q is positive. q**56 Simplify (((y**3*y)/y)/(y**(-27)*y))/(y**(9/8))**(-3/2) assuming y is positive. y**(491/16) Simplify (((r**(-18)*r)/r**(-3/7))**26)**27 assuming r is positive. r**(-81432/7) Simplify i**(-13/2)/(i*i**(-34))*(i/(i*i**(-2)*i*i))/i**(-1/4) assuming i is positive. i**(107/4) Simplify ((u**12/((u*(u/(u*u/(u/((u/u**(1/7))/u))))/u*u)/u))**(9/2))**(-4/23) assuming u is positive. u**(-1494/161) Simplify ((g**(2/7))**(-30/13)/((g**(-1/7)/g)/(g*g*g/g**5*g)))**(-1/20) assuming g is positive. g**(47/1820) Simplify ((k*k/(k/(k**(6/11)/k)*k)*k)**(-2/93))**(-45) assuming k is positive. k**(180/341) Simplify (t/t**(-4/9))**(19/6)*(t**(1/9))**25 assuming t is positive. t**(397/54) Simplify b**(4/5)/(b*b/(b/(b**11/b*b)))*b*b**(-5/4)*b**(-3)/b assuming b is positive. b**(-309/20) Simplify (z*z**(-7))/(z*z/((z*z**9)/z))*z/(z/(z*z**(-1)))*z**(1/2) assuming z is positive. z**(3/2) Simplify (q/(q/(((q*q**(-1)/q)/q)/q)))/((q/(q**(-2/19)*q))/q)*(q/q**(-12))/q*q**(-7) assuming q is positive. q**(55/19) Simplify (w*(w*w**(-3/8)/w*w)/w)/w**12*(w/w**(-1/2))/((w**(2/17)*w)/w) assuming w is positive. w**(-1359/136) Simplify ((s**5*s)/(s**(-1/4)/s*s*s))/(s*s**12/s*s/s**(-6)*s) assuming s is positive. s**(-59/4) Simplify (((y/(y/((y**(1/3)*y)/y)*y))/y)**(-7/10)*(y**3)**40)**(2/97) assuming y is positive. y**(727/291) Simplify ((q*q/(q**(-5)*q)*q**(-2/17)*q)/((q*q**5)/(q/(q*q**(3/2)*q*q))))**(28/5) assuming q is positive. q**(-1246/85) Simplify (q**18/q*q**(-9))/(q/(q*q/(q*q**(-3/10)*q)))**(4/9) assuming q is positive. q**(346/45) Simplify (m**(-5/3)*m*m/(m*m**(-5)*m))/(m/(m*m*(m/(m*(m/((((m*m**1*m)/m)/m)/m))/m))/m*m))**(-6) assuming m is positive. m**(-8/3) Simplify a**(-4)*a/a**(-23)*((a/a**(-9))/a)**(-16) assuming a is positive. a**(-124) Simplify (((c/c**(-1))/c)**(1/80)/(c**0*c)**(-7))**(-13) assuming c is positive. c**(-7293/80) Simplify (p**(1/7)*p)**(-2/37)/((p/(p**(-3/2)*p))/p**(-6)) assuming p is positive. p**(-3917/518) Simplify (((a/((a/a**9)/a*a))/(a/(a**2/a)))**44)**(-3) assuming a is positive. a**(-1188) Simplify ((w**(-5)/(w/(w/(w*w**(-1/2)))))**(2/63))**16 assuming w is positive. w**(-176/63) Simplify m**16*m/(m**(-2/35)*m)*(m*m*m**24)/m*m/m**(11/7) assuming m is positive. m**(1417/35) Simplify ((w*w/((w/(w/(w**(-7)/w)))/w))/w*w*w*((w/((w*w**(-3)/w)/w))/w*w)/w*w/w**(2/13)*w/(w*(w/(w*(w**(2/7)*w)/w))/w))**(-9) assuming w is positive. w**(-14850/91) Simplify (((u/u**3)/u)/(u**(-3/7)*u)*(((u*u/(u/(u*u**(-8))))/u)/u)/((u**(-1/4)*u)/u*u))**(1/24) assuming u is positive. u**(-115/224) Simplify (s*(s**(-24)*s)/s*s*s*s**(-7/5))/(((s**(1/10)*s)/s)/(s**(3/5)*s)) assuming s is positive. s**(-209/10) Simplify (y**(-10/9)*y/y**(-32))**24 assuming y is positive. y**(2296/3) Simplify ((u/(u*u*u/(u**6*u)))/u*u/(((u*u**(4/5))/u)/u)*u*u**(3/4)/((u**(1/3)*u)/u))**(-9) assuming u is positive. u**(-1191/20) Simplify (p/(p*p*p**(-1)))**(-3/17)*p**0/(p**(-14)*p) assuming p is positive. p**13 Simplify y**14*y*y*y**(2/7)*(y/y**(-16)*y)/(y/y**0) assuming y is positive. y**(233/7) Simplify (f**(-4))**40/(f*f**(-14)*f**(2/17)) assuming f is positive. f**(-2501/17) Simplify (m/m**0)**40*(m*m**(-4)*m*m*m*m)**(-44) assuming m is positive. m**(-4) Simplify (b**12/b**(2/5))/(b/(b*b**(-1/12))*b**(-11)*b) assuming b is positive. b**(1291/60) Simplify l**5/(l*l**6*l)*(l*(l*l*l**(-1/5))/l)/l*l**19 assuming l is positive. l**(84/5) Simplify ((m*(m/m**(-19))/m)/m**(-2/37))/(m**(-32)*m**(-24)) assuming m is positive. m**(2814/37) Simplify (i**(1/21)/(i*i*i*i*(i**(-1/13)*i*i)/i))/(i**(-2/19)*i*i**19*i) assuming i is positive. i**(-133670/5187) Simplify (v**(-2)*v)**(-9/2)*v**(1/10)*v*v**(-7)/v*v assuming v is positive. v**(-7/5) Simplify ((y*y**(4/5)*y)/y**(-3/11)*y**8/(y**(-7)/y*y))**(2/11) assuming y is positive. y**(1988/605) Simplify (b/(b/b**20*b)*b)/(b**(2/27)/b*b)*b**(-14)/b**(-17) assuming b is positive. b**(619/27) Simplify ((((r**0/r)/r)/r)/r)**(-46)/(r**(-9)/(r/(r/(r/r**(-3/4)*r)))) assuming r is positive. r**(783/4) Simplify ((g*(g/((g/(g*g/((g*g**10*g*g*g)/g)))/g))/g*g)/g*g**(-3)/g*g)/((g*g**(1/3)/g)/g*g**(-13)) assuming g is positive. g**(2/3) Simplify f*f/f**(-15)*((f/f**9)/f)/f*(f/f**(-3))/f**3 assuming f is positive. f**8 Simplify (((y**(3/5))**(-46))**(15/7))**(-28/9) assuming y is positive. y**184 Simplify (d/(d*(d*d**14)/d)*d**(-1))/(d**(2/3)/d**(-13)) assuming d is positive. d**(-86/3) Simplify ((x**(2/11)/x)/x**(-26))/(x/(x/(x/(x**(-4/3)/x))*x))**39 assuming x is positive. x**(-724/11) Simplify (k**(2/9))**(-13)/(k/((k*k**(-2)/k*k*k*k)/k))**(-25) assuming k is positive. k**(199/9) Simplify (d**(-2)/d)**(-26)/(d**(-14)/((((d*d**(-3/14)/d*d)/d)/d*d*d)/d*d)) assuming d is positive. d**(1299/14) Simplify (h**40/(h*h*h*h*h/(h*h*h**(-2/5))*h))**(-18) assuming h is positive. h**(-3204/5) Simplify (f**(-22)*f)/(f*f*(f/f**(-4/9))/f)*f**(-4/13)/(f/((f*f*f**(2/7))/f)) assuming f is positive. f**(-19219/819) Simplify ((h**(-9/4))**31)**(28/9) assuming h is positive. h**(-217) Simplify x**(1/20)*x*x*x/(x*x**(-1/6))*x**(-3)/(x*(x/(((x/x**12*x)/x*x)/x))/x) assuming x is positive. x**(-767/60) Simplify ((r*r/((r*r*r**(-4))/r))/r*r/(r*r/r**(2/11))*(r**(-3/5)/r)/(r/(r**(-5)/r)))**(-2/145) assuming r is positive. r**(596/7975) Simplify ((i/i**11)/i*i**5*i*i**(-4)*i*i*i**(1/9))**34 assuming i is positive. i**(-2108/9) Simplify ((h**(-4/11)*h)/(h*h/(h**(1/14)/h)*h*h))/(h*h**8*h*h**(-18/5)) assuming h is positive. h**(-8233/770) Simplify o**(1/6)*o/(o**(-12)/o)*o*(o**(-2/9))**17 assuming o is positive. o**(205/18) Simplify (k**(-2/17)/k*k)/(k*k*k*k*k*k**(-24)*k*k)*k*k**15*(k*(k*k**(-22))/k)/k assuming k is positive. k**(185/17) Simplify (r**(-2/7))**46*(r**(-2/13))**22 assuming r is positive. r**(-1504/91) Simplify (((x**(2/7))**(-20))**(-48))**27 assuming x is positive. x**(51840/7) Simplify (m**(-3/8))**(-6)*(m*m**(-8/5)*m)/(m**(-1/3)*m*m) assuming m is positive. m**(59/60) Simplify a**(-27)*a**6*a**(-19)/a*a*a**(1/12) assuming a is positive. a**(-479/12) Simplify (i/(i**(2/3)*i)*i*i**(-37))**(-41) assuming i is positive. i**(4510/3) Simplify (b*(b*b*b*b*b/(b*b/(b**(3/14)/b*b)*b)*b)/b*b)/b**(1/4)*b/b**(-13)*(b/b**(-1/12)*b)/b assuming b is positive. b**(400/21) Simplify ((a/(a/(a*(a/(a*a**0/a))/a)))/a)**(9/4)*a**(-7/6)*a**10 assuming a is positive. a**(53/6) Simplify ((o**(1/2)/(o**(2/7)/o))/(o**4*o**(-2/3)/o*o))**(-1/10) assuming o is positive. o**(89/420) Simplify (x*x**(1/2))**(-2/9)/(((x*x*(x*x*((x*x/x**(-5)*x*x)/x)/x)/x*x*x)/x)/(x**(3/11)/x)) assuming x is positive. x**(-398/33) Simplify (p/(p/(p**(-10)/p))*p**24*p)**(-17/5) assuming p is positive. p**(-238/5) Simplify (w*w/((w**2/w*w)/w))**(-3/32)*w*w**8*w**(-1/2) assuming w is positive. w**(269/32) Simplify (w**(5/3)*w)**(-1/5)/(w**(4/11)/w*w)**43 assuming w is positive. w**(-2668/165) Simplify (s**3)**(-1/3)/(s/(s/(s**(-2/9)/s)*s)*s)**48 assuming s is positive. s**(173/3) Simplify (m**(-12)/((m*m*m**(-3/10))/m))/((m**(-9)/m)/m*m**(6/17)*m) assuming m is positive. m**(-519/170) Simplify g**(-24)/(g**(-5/3)*g)*(g*g**(2/15))/g*g/(g*g/g**5*g) assuming g is positive. g**(-101/5) Simplify ((u*(u**20/u)/u)/u*u**5/u)/((u*u*(u*u**(-1/8))/u*u)/((u**(-9)/u)/u*u)) assuming u is positive. u**(73/8) Simplify (b**2/b**21)/(b*((b**(-2/87)*b*b)/b)/b*b*b**(5/6)) assuming b is positive. b**(-1265/58) Simplify (y*y**(-6/5)*y*y*y*y*
{ "pile_set_name": "DM Mathematics" }
nominator of (-2 - -5)*(-99)/864 and -89/44. 352 Calculate the lowest common multiple of 10 and (-2 - (-357)/6) + (-7)/(-14). 290 What is the common denominator of 2*5/60*2/(-6) and 41/14? 126 Suppose 8*c = 10*c + 18. Let n = 10 + c. Calculate the least common multiple of 4 and n. 4 Suppose t + 2 = 9. Suppose 4 = -2*b + 26. Calculate the lowest common multiple of t and b. 77 Let a(f) = -f + 10. Let y be a(8). Suppose -2 + 5 = y*o + 3*w, -10 = -2*w. Let i(z) = z**2 + 4*z + 2. Calculate the least common multiple of i(o) and 2. 14 Suppose 2 = -2*z + 22. Let u = -10 - -15. Calculate the lowest common multiple of u and z. 10 Suppose 2*s + 3*s - 25 = 0. What is the least common multiple of s - (0/2 + 2) and (-42)/(-5) + (3 - (-68)/(-20))? 24 Suppose 4*f + d - 30 = f, -4*f + 3*d = -27. Suppose -2*o = o - 27. Suppose 2*s - o = s. What is the least common multiple of f and s? 9 Suppose 0 = -4*g - 3 + 35. Calculate the smallest common multiple of (15/10)/((-3)/(-40)) and g. 40 What is the common denominator of -83/14 and (-1452)/(-280) + (-10)/35? 70 Let t = 105 - 2539/24. Calculate the common denominator of -34/33 and t. 264 Suppose -5*w = -0*w + 4*r - 121, -2*w = -3*r - 53. Let y = 5446/3729 + -2/339. What is the common denominator of ((-24)/(-6))/(22/w) and y? 11 Suppose 3*r + 316 = -1517. Find the common denominator of 2*23*2/44 and (-4)/22 + r/88. 88 Let t be (-329)/(-6)*(-595)/2. Let c = 16324 + t. What is the common denominator of c and 5/14? 84 Suppose 120 = -q + 6*q. Let s = q - 16. What is the smallest common multiple of s and ((-12)/7)/(3/(-21))? 24 What is the lowest common multiple of 15/(-2)*28/(-35) and 10? 30 Let b(x) = -x**2 + 8*x - 7. Let i be b(7). Let j = i + 4. What is the smallest common multiple of j and 9? 36 Suppose -a = -3*a + 2. Suppose -a = -5*i + 4. What is the lowest common multiple of i and 6? 6 Let j(i) = -i**3 + 2*i**2 + 3*i + 4. Calculate the least common multiple of j(3) and 2. 4 Let t = -18 - 13. Let x = -17 - t. What is the smallest common multiple of x and 10? 70 Let j = 51/14 - 54/7. What is the common denominator of 23/8 and j? 56 Let y = -2 + 1. Let f be 1 - (-5 - (-2 - y)). Suppose -f*k + 30 = 10. What is the least common multiple of k and 22? 44 Calculate the common denominator of 5/12 and ((-1)/16)/((-63)/4494). 24 Suppose -c + 9 + 13 = 0. Let g be 4*c/(-2)*-1. Suppose -b - 1 = 4*o - 39, g = 3*b - 2*o. Calculate the least common multiple of 4 and b. 36 Suppose f = -5*u - f - 36, -5*f + 10 = 0. Let p = 16 + u. Calculate the least common multiple of (-4)/(-18) - 140/(-18) and p. 8 Suppose 5*r - i + 0 - 14 = 0, 0 = -2*r - 3*i + 9. Let o be ((-735)/(-18) - -2)*r. Let h = o - 1033/8. Calculate the common denominator of 11/2 and h. 8 Let p(o) = o**2 - 7*o + 8. Let n(l) = 2*l**2 - 14*l + 15. Let r(a) = -6*n(a) + 11*p(a). What is the lowest common multiple of 10 and r(6)? 20 Let a = 23281/8 - 2915. What is the common denominator of a and 17/10? 40 Let s = 62 + -44. Calculate the lowest common multiple of 32 and s. 288 Suppose 104 = -6*j + 2*j. Let i = j + 79. Find the common denominator of -29/12 and i/2 - (-1 - 0). 12 Let s(r) = -r**2 - 6*r. Let o be s(-7). Let p = o + 8. Calculate the lowest common multiple of 3 and p. 3 Let m = 11432063/87 + -131397. Let y = m + 9/29. Let t = y - 179/15. What is the common denominator of t and 28/11? 55 Let l(f) = 2*f - 1. Let r be l(0). Suppose 0 = c + 2*c - 12. Calculate the lowest common multiple of 8/c - (r + -3) and 12. 12 Let n be (-12935)/(-860) - 2/8. Let i = -8863/387 + n. Find the common denominator of i and -59/4. 36 Calculate the common denominator of (3 + 399/9)/8 and 181/30. 60 Let c = 4 + -2. Let z(f) = f**2 - 4*f + 16. What is the lowest common multiple of c/2*(2 - -2) and z(4)? 16 Calculate the common denominator of 81/2 and (-2)/8*15/9. 12 Let h be ((-16)/(-20))/((-4)/30). Let c be (-484)/h + 10/(-15). Suppose -20 = 5*z - c. Calculate the lowest common multiple of 16 and z. 48 Suppose 0*f - 2*n - 408 = 3*f, 2*f + 3*n = -267. Calculate the common denominator of (f/(-10))/(8/(-10)) and 121/12. 12 Let v(d) = d - 7*d + d**2 + 7 + 0*d. Suppose 3 = f + 2. What is the least common multiple of f and v(5)? 2 Suppose 0 = -a - 0 + 10. Suppose -4*z + 2 + a = 0. Suppose -z*w - t = -5, -3*w - t = 2*t - 3. Calculate the least common multiple of 1 and w. 2 Suppose 0 = -l + 5 + 3. Suppose 0 = -j + 5, 2*x - 3*j = 3*x - 14. Let v(u) = -5*u. What is the least common multiple of v(x) and l? 40 What is the common denominator of 11/18 and 3*(1 + (-87)/66)? 198 Let r = -10 - -14. Suppose 0 = -3*a + 4*j + 41, j = a - 2*j - 22. Suppose a*p - 4*p = 66. Calculate the least common multiple of p and r. 44 Let n = 617/3 - 230. Let h = -7033 - -70251/10. Find the common denominator of n and h. 30 Let x be (-27)/(-15)*15/1. Let u = x + 7. Calculate the lowest common multiple of u and 4. 68 Let d be -1*2 + (1 - -5). Calculate the common denominator of (-79)/6 + (4 - d) and (-1)/(-4)*(-1 - -111). 6 Suppose 0 = o - 0*o + 8. What is the common denominator of -9*5/((-50)/o) and 123/10? 10 Let c = 1893/2 + -967. Let u = 545/63 + -65/21. Calculate the common denominator of c and u. 18 Let g = 15275/42 - 2596/7. Calculate the common denominator of 51/200 and g. 600 Let c(n) = n**2 + n + 6. What is the lowest common multiple of -10*(12/10 - 2) and c(0)? 24 Let p = -845/24 + 124/3. Calculate the common denominator of 121/24 and p. 24 Find the common denominator of (-8)/(-12)*(16/(-10) + 1) and 9/11. 55 Suppose 2*p - p = 22. Let a be (3/(-2))/(3/4). Let u = a + 14. Calculate the least common multiple of p and u. 132 Let s(n) = 2*n - 4. Let a be s(9). Let p be -4 - ((-3)/3 - -1). What is the common denominator of -1/8 and (-5121)/378 + p/a? 24 Suppose 7 = 5*p + 5*u + 2, 2*p - u = 11. Suppose 3*s + 3 = -3*g, -4*s = 5*g + 9 - 3. Calculate the smallest common multiple of p and s. 4 Let h = 844 - 9304/11. Calculate the common denominator of -2*3/(-8)*34 and h. 22 Find the common denominator of (-12)/40*19 + 1 and 53/3. 30 Suppose -v - 6 = -4*v. Calculate the least common multiple of v and 26. 26 Let o = -13 + 23. Find the common denominator of -142*(o/(-32))/(-5) and 16/9. 72 Let d = -5271 - -42245/8. Let u = -12739/3470 - 10/347. Calculate the common denominator of d and u. 40 Suppose -3*c = -2*c + 146. Find the common denominator of ((-4)/(-12))/((-1)/(-68)) and (-2)/(-1) - c/(-20). 30 Calculate the common denominator of 1/(-84)*-911 + (-129)/301 and 38/11. 132 Find the common denominator of (10/(-180))/(1/(-26)) and 48/5. 45 Let q(f) = -20*f + 8. Calculate the smallest common multiple of q(-1) and 26. 364 Let z = -13 - -12. Calculate the common denominator of (-59)/(-12) + 2 - z and -41/4. 12 Let r = 2 - 0. Let a = r + 0. Calculate the lowest common multiple of 12 and (3 - (a + 0)) + 3. 12 Suppose -16 = -c - 0*c. Suppose 9*l + t = 4*l + 20, 4*l - 5*t - c = 0. Calculate the least common multiple of l and 18. 36 Suppose 0 = 4*u + 3*r - 81, 4 = -4*r - 16. Calculate the lowest common multiple of 40 and u. 120 Let w be 698/721*(-2049)/524. Let l = 2/13493 - w. Calculate the common denominator of l and -15/4. 28 Suppose -2*u = -8, -u + 867 + 425 = 4*s. Let j = 1919/6 - s. Find the common denominator of 83/14 and j. 42 Let d(v) = -v**2 - v + 8. Let y be d(0). Calculate the common denominator of (1092/(-352))/((-6)/y) and -89/22. 22 Let s be 1*(-2 - -2) - 0. Suppose 4*o + o = s. Let n = 11 + o. Calculate the least common multiple of n and 3. 33 Let y(b) = -b - 5. Suppose -3*k = 31 - 7. Let v be y(k). Suppose -s = j - 11, -4*j - 51 = -v*s - 11. Calculate the least common multiple of 22 and s. 132 Find the common denominator of (-10)/6*(-3)/4 and (-15)/(-12)*384/(-108). 36 Suppose q - 62 = 4*u - 223, -5*q = -2*u + 85. Calculate the smallest common multiple of u and 16. 80 Let j be -3 - 15336 - (2 + 1). Let o = 214897/14 + j. Find the common denominator of o and -53/20. 140 Suppose -5*w - 6 = 9. Find the common denominator of ((-78)/(-3) + w)/(-6) and -13/20. 60 Find the common denominator of -1/10 and 1323/(-770) - (-4)/(-22). 10 Find the common denominator of ((-450)/36)/((-1)/3) and -31/6. 6 Let r(p) = p**2 - 5*p + 3. Let a be r(4). What is the common denominator of 15 and 2*(a - (-13)/(-10))? 5 Let r = 64661/6
{ "pile_set_name": "DM Mathematics" }
earest to q? (a) i (b) r (c) 2/7 b Suppose 219*o + 540 = 214*o. Let i = -96 - o. Let n be (-9)/i - (1435/(-220))/7. Which is the nearest to 1/3? (a) -0.2 (b) -2/27 (c) n c Let h = 11.1 - 10.918. Let u = h - -0.118. Which is the closest to 0.1? (a) 1 (b) u (c) 0.4 b Let q = 6.9 + -2.8. Let s = q + -6.9. Let v = 2.7 + s. What is the closest to 5/3 in v, -3, -0.4? v Let n = 49 + -113. Let x = n - -65. Let p be (60/21)/((-1)/(-7)). What is the closest to x in p, 4, 2? 2 Let u = -412.6 + 415.6. Which is the nearest to -1? (a) 0.3 (b) -2 (c) -1/134 (d) u c Suppose 3*p - 5*n - 24 = -42, 3*p = n - 6. Which is the nearest to p? (a) -15.7 (b) -4/3 (c) 1/6 b Let f = 1.9 - 2. Let n = -341/681 - -1/1362. Which is the closest to 2/3? (a) n (b) 5 (c) f c Let m be 11/35 + ((-128)/480)/((-8)/(-18)). Let f be (-175)/8*(-30)/35. Let v = 37/2 - f. Which is the closest to m? (a) 6/11 (b) v (c) 0.2 b Let f = -3589/2 + 1795. Which is the nearest to -2/3? (a) 1/8 (b) -0.2 (c) f (d) -5 b Let t be (-210)/(124/248*(5 + -1)). What is the nearest to t in -5, -0.1, 0.5, 5? -5 Let b = -13 + 7. Let p(n) = 51158*n - 51158. Let x be p(1). What is the closest to x in b, 0.2, -0.1, 0.4? -0.1 Suppose 0 = -5*j - 2*n + 471, j = 2*n + n + 84. Let q = 61 - j. Let u = q + 255/8. Which is the nearest to 4? (a) -0.3 (b) u (c) 2/3 c Let h = 7 + -4. Let p = 0.012 + 0.488. Suppose 0*m = 4*m. Which is the nearest to m? (a) 0 (b) p (c) h a Let i = 11235 + -11230. What is the nearest to 1/2 in 1/7, -528, 1/3, i? 1/3 Suppose -253 = -3*k + 98. Let r = k + -123. Let x be (-2 + 4 + -10)/r. What is the closest to 0 in -3, x, -4? x Let s = -20.6541 - 0.0459. Let x = 0.4 - -20.6. Let v = s + x. What is the nearest to -1 in 0.1, -2, v? -2 Let v = 4 - 5.6. Let i = -2170.8 + 2171. What is the nearest to 0.1 in i, v, -5? i Let i = -3885 + 15543/4. What is the closest to i in -5, -5/4, 3? -5/4 Let l = -19082 - -19077. What is the nearest to -13 in -606, l, -0.4, -0.1? l Let z be (-278)/60 + (-34 - (-5544)/144). Let l = 1 + -0.8. Which is the closest to 0.17? (a) 5 (b) z (c) l c Let b = -18186.5 - -18187. What is the nearest to -2/13 in 0.2, -5, b, -4? 0.2 Let r = -6.4 - -6.36. Let i = 305 - 307. Which is the closest to 3? (a) r (b) 5/2 (c) i b Let u = -34.3 + 35.3. Let n(x) = -x**2 - 19*x - 42. Let z be n(-16). Which is the closest to z? (a) 5 (b) -5 (c) u a Let s be (-20)/(-16)*(36/15)/6. Which is the nearest to s? (a) -5 (b) 0.3 (c) 1/4 (d) 0.12 b Let j = 0.1871 + -9.1871. Which is the nearest to -1? (a) -0.3 (b) j (c) -123 a Let u = 377778 + -377778. Let j be 1/3*(-1)/(-1). Which is the closest to j? (a) u (b) -1/6 (c) 0.4 (d) 2 c Let j be 1425/24 + 1 - 12/32. Suppose 0 = -2*l - 2*l - n + j, n + 20 = l. What is the closest to -1/4 in -0.3, l, -5, 0.4? -0.3 Let t(c) = 584*c + 4674. Let k be t(-8). What is the closest to -1/3 in k, 7, 3/17, -1/4? -1/4 Let a = 0.1896 + -0.3896. What is the closest to -1 in 3/4, -5, a, 5? a Let p = 326 + -326.4. Let u = -107.6 - -119. Let j = u - 11. What is the nearest to 2 in 0, p, j? j Let x = 3155 + -3158. Let i = -4 - -4. Suppose 0*k - k = i. What is the closest to -1/2 in k, 1, x? k Let u = -283 - -563. Let t = u + -279.5. Which is the closest to t? (a) -0.2 (b) -0.1 (c) -5 b Suppose -19*u + 8*u - 1598 = 3594. Which is the closest to 2? (a) -3 (b) u (c) 3/2 c Let m = 8062 - 8063.2. What is the closest to m in -3, 1, -1, -4/17? -1 Let b = 1968.7 + -1968.797. What is the nearest to -1 in -7, 2/15, b? b Suppose 4 = 2*m, 2*u + 4*m = u + 13. Let l = -715 - -714.8. What is the closest to -28 in -1, u, l? -1 Let z = -38242/5 + 7648. What is the nearest to z in -2/125, -2, 5? -2/125 Let w = 277.3 - 272.3. Which is the closest to -0.1? (a) 7 (b) w (c) 2 (d) -0.3 d Let z(g) = -g**3 + 7*g**2 + g - 10. Let b be z(7). Suppose -5*p - 4*t = -p - 4, -t + 5 = 2*p. Let f = 2.61 - 2.41. What is the closest to f in p, -0.2, b? -0.2 Let i = 102 + -101.568. Let k = 0.132 - i. Let m = -0.48 + -0.02. Which is the nearest to 4? (a) m (b) k (c) -3 b Let i = -6853 - -6854. Let q = 1.9 + -2. Which is the nearest to i? (a) 1/5 (b) q (c) 111 a Suppose -2*w = w + 30. Let f be ((-2)/w)/((-8)/5). Suppose 33*z - 53*z = 40. Which is the nearest to -3/4? (a) z (b) f (c) 1 b Let m be 1/(-1)*2*-1. Let h = 0.314 + 4.716. Let r = h + -7.03. Which is the nearest to 3? (a) r (b) 5 (c) m c Let m = 332 - 365.5. Let f = 52 - 19. Let x = f + m. Which is the nearest to 0? (a) 0.1 (b) 0 (c) x b Let g = -0.19 + 0.644. Let q = g - 0.054. Which is the closest to 0? (a) q (b) 0.23 (c) -4 b Let q = 7.39 + -11.39. Which is the closest to 0.08? (a) -1.1 (b) q (c) -5 (d) 4 a Let t = -209/4 - -52. Let j = -2.363 + 2.863. What is the nearest to j in 2/13, 5, t? 2/13 Let o = -148 - -166. Suppose 4*d = -2*r + 6, d - o = 3*r + 2*r. What is the nearest to 7 in 0.2, 3, r? 3 Let x be 2910/27 - (40/(-18) - -2). Which is the closest to -0.1? (a) x (b) -3/2 (c) -4/5 (d) -0.1 d Let z = -23 - -27. Suppose z*p - 8 = -3*d, -3*d - p = -d + 3. Let f = -48 - -43. What is the nearest to 0.2 in d, f, 0? 0 Let w = 85.76 - 86. Let z = -23.7 - -17.94. Let n = w + z. What is the nearest to n in -3, -0.5, -5? -5 Let w = 3212.4 + -3214.4. What is the nearest to -2/11 in 3, 201, w? w Let i = -45.14 + 1.24. Let f = i - -44. Which is the nearest to -1? (a) 0.04 (b) 1 (c) f a Let t = -220 - -228. Let d = -133 - -132.5. What is the nearest to 0 in 2, t, d? d Let o = -9.37 - -8.37. Let g = -95 - -94.7. Which is the closest to -4? (a) 7 (b) o (c) g b Let q = -72 - -72. Let x = 40.899 - 41. Let y = -1.899 + x. Which is the closest to q? (a) -1/5 (b) 2/15 (c) y b Let r be -2*(1/(-4) - ((-7)/(-4))/7). Which is the closest to r? (a) -23 (b) -0.3 (c) 0.2 (d) 4/7 d Let p be (4/6)/(11/(-3)). Let r = 1380.52 - 1380.5. Which is the closest to p? (a) 0.3 (b) r (c) -0.02 c Let a(z) = -z**2 - 5*z - 8. Let u be a(-4). Let h be (-10)/u*9/(-15). Let q = -3.04 - -0.04. What is the nearest to q in 5, h, 2/9? h Let j = 169812/7 + -24258. What is the nearest to j in -2/9, -72, 4? -2/9 Let u = -0.5 - -0.42. Suppose -h = -12*h - 11. Let q be -3 - h/(-2)*-5. Which is the closest to q? (a) 0 (b) u (c) -0.1 c Let v be 4 + 0 + (-15)/30*8. Let f = -2.57 + -0.43. Let h be 6/(-21) - (-8)/(-21). Which is the nearest to h? (a) v (b) f (c) -1 c Let v = 0.1169 - 2.2799. Let a = v - -0.163. What is the closest to a in 0.3, 1/3, -11? 0.3 Let h(o) = -2*o**2 - 38*o + 46. Let n(x) = x**2 - x + 1. Let z(j) = h(j) + 5*n(j). Let q be z(13). Which is the closest to -1? (a) 3/8 (b) -10 (c) q (d) 1/8 c Let j = 8.2 - 3.2. Suppose -6*b + 2*b + 16 = 0. Let u be (-10)/b*8/(-120). What is the closest to -1/2 in -1, u, j? -1 Let c = 72.9 - 78.31. Let j = 5.21 + c. What is the closest to -1 in 1, j, 5/4? j Let y = 29 + -25. Suppose 3*w + 4 = p + 13, 0 = -y*p + 12. Let d be w/30 - 43/30*-2. What is the nearest to 0.2 in d, -0.1, -5? -0.1 Let y = -0.1 - 1.9. Let g be 51/60 - (-3)/(-30). Which is the nearest to y? (a) g (b) -2/13 (c) 1 b Let h be (-6929260)/684284 + 11 + -1. Let p = h - -3/347. Let z = 5/3 + -43/15. Which is the closest to 0.1? (a) p (b) z (c) 2/3 a Let c = -0.07 + 0.57. Let a = -2/189 - -65/189. What is the nearest to -1 in c, -5, 0.1, a? 0.1 Let g = -5.826 + 3.826. What is the nearest to -77 in -2/7, 1, g? g Let n be (72/60)/(39/(-130)). Let w = -3 + 3. Let h = w + -1. Which is the nearest to 0? (a) n (b) 3/2 (c) h c Suppose 0 = 23*l - 28*l + 3*t - 2435, l - 4*t + 470 = 0. Let u = l + 486. Which is the nearest to -1? (a) 11 (b) 0.2 (c) u (d) 0.5 b Let n be (14/21)/(72/(-81)). What is the nearest to 0 in 2/3, n, -5, -4/7? -4/7 Let s = 1.785 - 2.03. Let i = s + -2.755. Let k be 2/(-5) + (-16)/(-90). Which is the closest to 2? (a) i (b) k (c) 0 c Let q = 10.6 + -13.6. Let n(z) = -4*z**2 - 72*z - 1. Let l be n(-18). Which is the nearest to l? (a) q (b) 0.2 (c) -8 b Let y = 1.8 + -1.4. Let q = -1493/2235 - -1/745. Which is the nearest to y? (a) q (b) 1/4 (c) -9 b Let g = 50579 + -202295/4. Let f(j) = -j**3 + 6*j**2 - 4*j - 4. Let n be f(5). Which is the nearest to -3? (a) g (b) n (c) -5 c Let k = 6/47 - 160/517. Let i be (-4 - 132/(-32)) + 30/16. Whi
{ "pile_set_name": "DM Mathematics" }
emainder when b is divided by 32. 29 Suppose -18*z - 19*z + 1295 = 0. Calculate the remainder when 305 is divided by z. 25 Suppose 0 - 36 = -4*n. Let t(m) = -118*m + 1104. Calculate the remainder when t(9) is divided by n. 6 Suppose 23*p + 1796 - 4050 = 0. What is the remainder when 386 is divided by p? 92 Let q = -18 - -29. Suppose 5*g + 75 = 6*g. Suppose 0 = -5*m + g + 20. What is the remainder when m is divided by q? 8 Suppose 2*l - 5*g - 178 = 0, -29 - 53 = -l - g. What is the remainder when l is divided by ((-290)/(-319))/(4/22)? 4 Suppose 10*s - 42*s + 4174 + 2898 = 0. Calculate the remainder when 1369 is divided by s. 43 Let f be (-90)/36*2254/(-5). Let h = -1106 + f. Suppose -2*m - 177 = -5*m. Calculate the remainder when m is divided by h. 17 Let g(c) = c**2 - c - 3. Let x(t) = -12*t**2 - 8*t - 13. Let a(o) = 6*g(o) - x(o). Calculate the remainder when (-70)/(1 - 2) - 0 is divided by a(1). 10 Let c(w) = 6 - 10 + 2*w - 11 - 22*w. Let p be c(-7). Suppose 27 + p = 4*y. What is the remainder when 151 is divided by y? 37 Let x(d) = -2*d**2 + 14*d + 19. Let y be x(8). Suppose -y*s - 57 = -3*l, -9*s = -5*l - 7*s + 107. What is the remainder when 108 is divided by l? 16 Suppose 2*k - 5*o + 3 = 23, -3*o = -3*k + 39. What is the remainder when (-12)/28 + (-113317)/(-329) is divided by k? 14 Let i be (2/(-4))/((-1)/392). Let h = i - 122. What is the remainder when h is divided by (3/(3/(-2)))/((-2)/15)? 14 Let l(a) = 2*a + 10. Let h be l(-4). Suppose -w = -2*w + h*c + 39, c + 213 = 5*w. What is the remainder when w is divided by 28? 15 Suppose 2*i = -0*i + 6. Suppose i = -o + 87. Suppose 6*v - 4*v = o. Calculate the remainder when 81 is divided by v. 39 Let l(w) = 4*w - 23. Let u be (-4 - -7)*(21/(-9) - -2). Let q(n) = -7*n**3 - n**2 + 2*n + 2. Let k be q(u). Calculate the remainder when 5 is divided by l(k). 0 Suppose -f - 10539 = -11116. What is the remainder when 598 is divided by f? 21 Let l(z) = 13*z - 61. Let v(c) = 2*c - 1. Let t(g) = -l(g) + 4*v(g). What is the remainder when t(0) is divided by 43? 14 Let w = 3047 - 10472. What is the remainder when w/(-20) + 10/(-8) is divided by 63? 55 Let r(c) = -c**3 - 14*c**2 + 10*c + 15. Suppose 35*s + 2367 = 44*s. Calculate the remainder when s is divided by r(-15). 83 Suppose 4 - 7 = -q. Suppose -7*o = -2*o. Suppose -5*b + 33 = 2*h, h - 3*b = -o*h + 11. Calculate the remainder when h is divided by q. 2 Let r(s) = 2*s**2 - 9*s - 1. Let m be r(5). Suppose -m*p + 766 = -38. Suppose -p = -9*i + 51. What is the remainder when 54 is divided by i? 26 Let g = 6615 - 6047. What is the remainder when g is divided by 10? 8 Let v = -37 + 13. Let f = v + 15. Let d(j) = -j**2 - 12*j - 14. What is the remainder when 50 is divided by d(f)? 11 Suppose 0 = 83*l - 4286 - 30. What is the remainder when l is divided by 26? 0 Let i = -91 - -94. Suppose -i*f + 3 = 0, -10*p + 15*p - 3*f = 127. What is the remainder when p is divided by 14? 12 Let h = 37 + -35. Suppose -f + 49 = 4*l, -19 = -l - h*f + 2. Let b = 14 - l. Calculate the remainder when 8 is divided by b. 2 Let l be -1*12/(-9)*(-6)/2. Let j = 350 - 122. Calculate the remainder when j is divided by (414/(-81))/(l/36). 44 Suppose -h = 6*h + 56. What is the remainder when 162 is divided by ((147/(-4))/(-7))/((-2)/h)? 15 Let d(p) = 14*p + 863. What is the remainder when d(-38) is divided by 166? 165 Suppose 20*m = 85 - 25. Suppose m*k + 21 = 72. Calculate the remainder when 132 is divided by k. 13 Let c be 2*4*(-3 - 7/(-2)). Calculate the remainder when 65 is divided by 30/24 + -1 - (-79)/c. 5 Let s = 1533 - 1445. Calculate the remainder when 96 is divided by s. 8 Let i(x) = -x**3 - x**2 - x - 5. Let b be i(-6). Suppose -5*h = -b + 61. Let g = -60200 - -60247. Calculate the remainder when g is divided by h. 23 Let n(b) = b + 1. Let d be n(-1). Suppose -2*v + 9 + 57 = d. What is the remainder when (-5918)/(-363)*6 + (12/(-22))/(-3) is divided by v? 32 Suppose 10 = 2*l, 0 = 7*j - 8*j + 3*l + 727. Let x = 753 - j. What is the remainder when 450 is divided by x? 10 Suppose -2*b + 148 = 3*d, 3*b - 3*d - 235 = -d. Let z = -241 + 274. Suppose -3*s + 3*k = -s - z, -3*s + b = k. Calculate the remainder when s is divided by 9. 6 Suppose 4*t + 5*x - 59 = 0, 4*t + 12*x - 89 = 13*x. Let k(j) = -j**2 + 20*j + 33. Calculate the remainder when 58 is divided by k(t). 10 Suppose -3*l - 34 = -2*q, -11*l + 119 = 7*q - 8*l. What is the remainder when 129 is divided by q? 10 Let s be ((-75)/12)/(3*4/(-288)). Suppose -12*n - s = -14*n. Calculate the remainder when n is divided by 16. 11 Let w(j) = j**3 + 18*j**2 - 5*j - 60. Suppose 0 = 5*f + 5, -7*f + 6*f = -4*v - 71. What is the remainder when 65 is divided by w(v)? 5 Let m = -12 + 160. Let t = 159 - m. What is the remainder when t is divided by 7? 4 Let c(p) = 9*p + 0*p + 10*p + 9*p - 20 + 10*p. Calculate the remainder when 292 is divided by c(3). 10 Let b(c) = -48*c + 743. Calculate the remainder when ((-43)/(-1))/(2/4) is divided by b(15). 17 Let w = 707 + -659. Suppose 2*m + 2*m - 100 = 0. What is the remainder when w is divided by m? 23 Let h(d) = -5*d - 30. Let q be h(-3). Calculate the remainder when 88 is divided by ((-5445)/22)/q + (-1)/(-2). 3 Let z(n) be the first derivative of n**4/4 - 2*n**3 - 5*n**2 + 23*n + 25. Calculate the remainder when 7 is divided by z(7). 1 Suppose -3*a - 4 = -4*a. Let d = 367 - 153. Let c = d + -196. Calculate the remainder when c is divided by a. 2 Let s = -18 + 19. Suppose k = 2*r + 16 - s, 5*r = 3*k - 44. Suppose 5*d = 4*c + 172, 4*c - 3*c = d - 34. What is the remainder when d is divided by k? 10 Suppose -2*c - c + 535 = q, 5*c - 865 = 5*q. Let b = 398 - c. Calculate the remainder when b is divided by (-254)/(-8) - 3*(-4)/48. 29 Suppose 266 = 4*h + c - 749, 5*h = -4*c + 1255. What is the remainder when h is divided by 81? 12 Suppose 12 + 3 = 3*u. Suppose u*v - 4 = 1. Suppose -5459*q = -5472*q + 13. Calculate the remainder when v is divided by q. 0 Let l(w) = -w**2 + 8*w - 8. Let n be l(7). What is the remainder when (4/6)/(n/(-96)) is divided by (-2254)/(-69) + (-7 - 176/(-24))? 31 Let j(d) = -d**3 + 22*d**2 + 90*d - 1231. What is the remainder when j(22) is divided by 110? 89 Let s = -384 + 629. Let t = s + -223. Calculate the remainder when 126 is divided by t. 16 Let j(k) = k**3 + k**2 - 11*k + 3. Let n = -10 - -30. Calculate the remainder when j(4) is divided by n. 19 Suppose -1055*m = -1045*m - 250. Calculate the remainder when 1066 is divided by m. 16 Suppose -561*j + 5040 = -417*j. Let z = 53 - -14. Calculate the remainder when z is divided by j. 32 Let f be 2 + -52*(-8)/16. Suppose f*m = 31*m - 627. What is the remainder when m is divided by 72? 65 Let f(u) = 193*u**2 - 894*u + 13. Calculate the remainder when f(5) is divided by 19. 7 Let x be 2/3*(-3 + 6). Suppose 2*b = h + 7, b - 5*h + 31 = x*b. Calculate the remainder when 137 is divided by 3*2/b + 34. 32 What is the remainder when (16/4)/2 - (-31714)/202 is divided by 25? 9 Let u = 12933 - 12777. What is the remainder when u is divided by 109? 47 Let n(f) = f**2 - 3*f - 141. Let d be n(12). What is the remainder when 381 is divided by (-6838)/(-143) + (-6)/d? 45 Let t be 55*(-32)/(-176) + -5. Let n(k) = -3*k**2 + 2 + 3*k - 18 - 2*k + k**3. What is the remainder when n(t) is divided by 9? 3 Let k(m) = -5*m - 25. Let a be ((-4)/12*3)/(2/18). Calculate the remainder when 318 is divided by k(a). 18 Let q = 6 - 5. Suppose 2*y - 173*c - 28 = -178*c, 3*y + 2*c = 75. What is the remainder when y is divided by -16*(q + (-9)/6)? 5 Let g(p) be the first derivative of p**2 - 21*p + 90. What is the remainder when g(35) is divided by 4? 1 Let g(a) = 7*a**2 - 73*a + 269. What is the remainder when g(4) is divided by 7? 5 Suppose -5*i - o = -10, 7*o = 4*o. Calculate the remainder when 214 is divided by (12/36)/((-2)/(-93))*i. 28 Calculate the remainder when (36 - (-218464)/384) + 1/12 is divided by 300. 5 Let m = -17624 + 17640. Let o(j) = -j + 54. Let k be o(0). Let c = 85 - k. Calculate the remainder when c is divided by m. 15 Suppose 109*h - 3*w - 2454 = 106*h, 3*h = -2*w + 2469. What is the remainder when h is divided by 315? 191 Let t(p) = -10*p - 245. Let k be t(-25). Let i = 1 - -17. What is the remainder when 2/k - (2118/10)/(-3) is d
{ "pile_set_name": "DM Mathematics" }
-2996 = -25*j + d. Is j a multiple of 30? True Let q = 575 - 690. Let s = -101 - q. Does 10 divide s? False Does 127 divide -17 + 1 + 89567 + -905? True Let r be (10/9)/((-26)/(-117)). Suppose -246 = -r*a + 709. Does 14 divide a? False Let r(l) = 6*l**2 - 50*l - 5. Let j be r(14). Let p = 635 - j. Is 10 a factor of p? False Let w(t) = -t**3 - 16*t**2 - 15*t + 3. Let z be w(-15). Let x(m) = -14*m**3 + 4 + 21*m**3 + 4*m - 17*m**z + m**2. Is x(-2) a multiple of 16? True Suppose 3*v + 97 = 4*v. Let r(y) = 44*y - 23. Let s be r(-1). Let x = v + s. Is x a multiple of 3? True Is (786/(-8))/(924/(-28336)) a multiple of 106? False Let k be (-1353)/(-9) - (-3)/(-9). Suppose 8*w + k = -2*w. Is 10 a factor of (17/(-3) - -1)/(1/w)? True Let t(o) = -2053*o - 4233. Is 11 a factor of t(-6)? True Let j = -14077 + 17810. Is j a multiple of 23? False Let z(p) = 136*p**3 - 12*p**2 + 9*p + 33. Is 155 a factor of z(4)? False Let h(l) = l**3 + 10*l**2 - 22*l - 18. Let i(c) = c**3 + 11*c**2 - 23*c - 19. Let k(s) = -4*h(s) + 3*i(s). Is 17 a factor of k(-13)? True Suppose -1040 = 78*f - 82*f. Suppose -m = -3*i + f + 314, -20 = 5*m. Is i a multiple of 19? True Let m = -113 - -118. Suppose -3*s = 0, 15 = n + m*s + 2. Does 2 divide n? False Let j(p) = 45*p**2 - 16*p + 127. Is j(6) a multiple of 22? False Let r(t) = -1538*t - 5906. Is r(-9) a multiple of 64? True Let r = 772 + -762. Suppose 0 = -j + 2, r*j - 5*j - 184 = -3*n. Does 58 divide n? True Let i be ((-357)/45 + (-2)/(-6))*5. Let q = i - -34. Let w(m) = -25*m - 6. Does 10 divide w(q)? False Is 103 a factor of 412*((-6)/4 + 98/8)? True Let y(q) = -2*q**2 + 22*q + 7. Let o be y(10). Suppose 119 = 19*u - 12*u. Let l = o - u. Is 5 a factor of l? True Let t(p) = -115*p + 2. Let m(s) = 324*s - 6. Let d(x) = 6*m(x) + 17*t(x). Suppose 2*g - 7 = 5*y, 16 + 8 = -3*g - 4*y. Does 14 divide d(g)? True Let r(g) = 2*g - 12 + 4*g - 2*g**2 - 13 + 22. Let q be r(2). Does 7 divide (-4 + 3/q)*(-5 + -14)? False Let f = -120 + 65. Let r be 2898/(-30) + (-4)/10. Let c = f - r. Is c a multiple of 6? True Let s = -1576 - -2928. Let r = -345 + s. Is 20 a factor of r? False Let k = -12025 - -17785. Does 144 divide k? True Suppose -s + 9 = -5*o, s = 2*o - 1 + 10. Suppose -14 = -q - s. Suppose 0*f - 3 = -f, q*p - 181 = -2*f. Does 9 divide p? False Suppose -1979 = -5*o - 4*v, -o + v + 391 = 3*v. Suppose -o + 34 = -5*s. Is s a multiple of 10? False Suppose -7*x = 161 + 196. Let p = 77 + x. Does 2 divide p? True Suppose -s = -2*d - d + 25, -2*d + 10 = -2*s. Let f be (-1)/2 + 45/d. Suppose 496 = 4*a - 4*r, -f*a - r + 476 = -0*a. Does 10 divide a? True Let y be (0 + 1)*(9 - (0 - -7)). Is -1*(2 - (584 - y)) a multiple of 20? True Suppose 0 = 2*d - 2*w - 7190, -5*w - 2112 + 9302 = 2*d. Suppose -2*r + 1414 = -4*m, 5*r + 5*m - d = -0*r. Is 21 a factor of r? False Let b = -904 - -672. Let f = b - -542. Does 31 divide f? True Suppose 4*z = -4*g + 280, -12 = -5*z + z. Let u = -62 + g. Suppose -u*f + 420 = -5*a, f = -f - 3*a + 173. Is 10 a factor of f? False Suppose -3*k + 2429 = 2*z, 0 = 5*z - 13*k + 18*k - 6070. Is z a multiple of 7? False Let q(z) be the third derivative of 7*z**4 - 11*z**3/6 - 37*z**2. Is 13 a factor of q(2)? True Let z = -30 - -33. Is 38 a factor of ((-4722)/9)/((-2)/z) - -1? False Suppose y + 0 = k + 7, -y = 3*k - 11. Suppose 2*x = -3*q - y, -3*x = 3*q - 2*q - 2. Suppose h + 2*c - 31 = -9, 0 = c + x. Does 13 divide h? True Let q(y) = -y**2 + 13*y - 13. Let u be q(11). Suppose -u = 55*g - 56*g. Suppose -465 = g*j - 14*j. Does 4 divide j? False Let w(u) = 7*u + 73. Suppose d - 119 + 102 = 0. Is 16 a factor of w(d)? True Let t(h) = 8*h**3 - 207*h**2 + 23*h - 62. Is t(26) a multiple of 10? False Let o be (8/6)/(-3 + 436/144). Suppose x - o - 88 = 0. Does 7 divide x? False Let f = 340 - 223. Let s be (f/52)/((-1)/4). Is ((-17)/17)/(1/s) even? False Suppose 11*v = o + 14*v - 3506, 0 = -o + 5*v + 3506. Is o a multiple of 53? False Let l = -103 - -111. Does 15 divide (228/(-15))/(l/(-40)) - 1? True Suppose 0 = -4*d - u + 66 - 8, d - 3*u - 21 = 0. Let w = 3 + -4. Does 19 divide (0 - w)*d + 4? True Let j(c) = -2*c**3 - 82*c**2 + 7*c - 197. Does 95 divide j(-42)? False Suppose 32*q + 10224 = 16*q. Let c = -184 - q. Is 13 a factor of c? True Suppose b - y = -3*b + 17, 26 = 2*b - 4*y. Suppose 5*c = -25, 773 = b*a - 2*c + c. Suppose -4*p = -816 + a. Is p a multiple of 43? False Let w be (4/6)/(1/6). Suppose -y + 5*c - 95 = -309, 484 = 2*y + w*c. Suppose -12*t + y = -6*t. Is t a multiple of 8? False Let l be 311 + (-28)/(-28)*(1 + -2). Suppose -v = -952 + l. Does 24 divide v? False Let c(n) = -n**2 - 28*n + 126. Let w(q) = -7*q - 342. Let x be w(-45). Is c(x) a multiple of 9? True Let q(o) = -o + 11. Let t be q(6). Suppose 0 = -t*b + 38 + 1402. Is 12 a factor of b? True Let o = -127 - -129. Suppose 5*m - 2*i - 938 = 4541, o*m - 2*i - 2188 = 0. Is m a multiple of 58? False Suppose 0 = -4*g - g + 45. Suppose -g*n = -11*n - 108. Let r = n - -84. Is r a multiple of 10? True Let v(l) = 2*l**2 + 16*l + 102. Is v(-29) a multiple of 20? True Let y = -10131 + 10296. Is 16 a factor of y? False Suppose -6*r - p + 355 = -2*r, -5*r + 3*p + 448 = 0. Let i = r - 89. Suppose -7*y + i*y = -665. Is 10 a factor of y? False Suppose 461*n - 188*n = 238*n + 190575. Is 40 a factor of n? False Let h(o) = -2088*o - 130. Does 14 divide h(-2)? True Suppose -3*d - 3 = 0, -3*o + 85089 + 4688 = -2*d. Does 13 divide o? False Does 10 divide 10 - (-5265 + (585/9)/13)? True Let x be 2/(2/6*-1). Let n(a) = -7458*a - 8 - 4*a**2 + a**3 - 7457*a + 14899*a - 2*a**3. Is 10 a factor of n(x)? True Let c(y) = -24*y + 11. Let l be c(-4). Is l - (0 + 0)/(4/(-2)) a multiple of 13? False Let k(l) = l + 2. Suppose -6*m - 2*m = -32. Let x be (m/8)/(1/14). Does 9 divide k(x)? True Let d(q) = 5*q + 10. Let s be d(-4). Let b be (s/(-5))/(2/3). Suppose 0 = -b*l + 130 + 80. Is l a multiple of 12? False Does 36 divide (-23 - 61)/(4/(-2786)) + (-4 - 2)? True Suppose 2*j = -0*j + 4. Suppose -p = -i + 11 + j, -i + 17 = -2*p. Suppose i*h = 12*h - 456. Is 40 a factor of h? False Let r = -22635 + 38588. Does 43 divide r? True Let g(u) = -2*u**2 + 6*u - 13 + 6*u - 13*u + 3*u**2. Let k be g(-4). Does 43 divide (4/k)/((-11)/(30954/(-12)))? False Suppose 0 = -m + 3 + 1. Suppose 2*f - 5 = -b + m*f, -4 = -b + f. Suppose 0 = -i + 5*q + 9, b*q + 49 = 3*i - q. Is i a multiple of 3? False Let z = -26 + 14. Let d(s) = 7*s**2 + 4*s - 25. Let t(h) = -38*h**2 - 21*h + 125. Let b(w) = 11*d(w) + 2*t(w). Is 19 a factor of b(z)? True Let u(y) = 236*y**2 - 3*y - 2. Let t be u(-1). Let i = 261 - t. Does 8 divide i? True Let g(r) = -3*r**2 + 18*r - 43. Let j be g(14). Suppose -k + 2*t = 130 - 667, 5*k = t + 2694. Let w = k + j. Is w a multiple of 22? False Let d = -68 + 132. Let o be ((-2)/(-4))/(8/d). Suppose -169 = -4*x + 3*a, -4*x + 5*x + o*a = 28. Is 10 a factor of x? True Suppose 0 = -75*o + 36421 - 721. Is o a multiple of 6? False Let j(f) = 3378*f + 1421. Is j(5) a multiple of 8? False Let r = 22776 - -13666. Is 19 a factor of r? True Suppose 82*c - 57372 = 65899 + 16539. Is c a multiple of 14? False Let u(c) = 4*c - 15. Suppose h - 4*h + 2*f + 14 = 0, -4*f = -3*h + 22. Let a be (-8 - h/(-2))/(-1). Is 2 a factor of u(a)? False Let v(c) = c**2 - 6*c - 1. Suppose i = 8*i - 63. Let s be v(i). Suppose -k - s = -3*p, -2*p + k = 3*p - 42. Does 4 divide p? True Let h(o) = -2*o + 1. Let y(a) = 123*a + 303. Let l(d) = -3*h(d) + y(d). Is l(12) a multiple of 14? True Let s = -1780 + 3771. Is s a multiple of 34? False Suppose -198 - 490 = -2*j - 2*a, 5*j + 4*a - 1720 = 0. Suppose -j = -166*m + 162*m. Is m a multiple of 10? False Let u = -1097 - -19445. Is 11 a factor of u? True Let a(l) = 7*l + 2. Let v be a(6). Suppose 10*r - v = 11*r. Is r*(4/(-16) - 1) a multiple of 10? False Let k be (-3 - -4)/(1/(-33)). Let c be (-105)/k - (-6)/(-33). Suppose -2*b = 4 + 4, -5*b - 608 = -c*s. Does 49 divide s? True Let z = 13224 - 11573. Is z a multiple of 127? True Does 98 divide (-2 - 43)/((-2)/(-160)*(-45)/12)? False Let s(l) be the second derivative of -5*l**3/3 - 15*l**2/2 + 9*l. Let j be s(-13). Let w = -66 + j. Does 7 divide w? True Let s be (-1 - -30) + (-18)/6. Suppose -136 = 9*i - s*i. Is i a multiple of 5? False Suppose 5*k - m + 2
{ "pile_set_name": "DM Mathematics" }
9, l? 2/9 Suppose 4*r = q + 93, -3*r - 90 = -7*r - 2*q. Let j = r + -21. What is the closest to -2 in 0.4, j, 2/11? 2/11 Let t = -0.01 - 0.99. Let g be 2 + 100/(-42) + 34/51. Which is the closest to t? (a) g (b) -1/5 (c) 0.3 b Let t = -412 - -413. Which is the closest to t? (a) -3 (b) 1 (c) -4 (d) 14/3 b Let d = -3.702 + -1.298. What is the closest to -3 in 2/5, d, 2/13, 1/20? d Let u be 1/(-4) + (-21)/(-12). Let m = 13.85 - 14.8. Let w = -1.25 - m. Which is the closest to -2/5? (a) u (b) w (c) 5 b Let o = -453 + 469.3. Let d = 43 + -27. Let h = o - d. What is the closest to 9 in h, -2, -0.1? h Suppose 0 = -6*r - 322 - 80. Let q = r + 133/2. Let j = -0.1 - -1.1. Which is the closest to q? (a) 4 (b) 1/4 (c) j b Let l = 72 - 160. Let f = l + 92. What is the nearest to -2/5 in f, -1/2, 4/5? -1/2 Let f = 38 + -37.64. Let p = 0.56 - f. Which is the closest to p? (a) 5 (b) -0.1 (c) 0.4 c Let u = -797/4 + 199. What is the closest to 1 in u, -3, -2? u Let w = -2 - -1.9. Let p = -1209 - -1210. Which is the closest to w? (a) p (b) -3/13 (c) 0.4 b Let g = -0.039 + -0.161. Which is the closest to 1/5? (a) 0.1 (b) -5 (c) -0.05 (d) g a Let r = -10 - -10.1. Let o = 1185 - 1184.7. Which is the nearest to r? (a) -8 (b) 1/7 (c) o b Let o = -40.9 - -1.9. Let r = -39.3 - o. Which is the closest to 1.1? (a) -2 (b) r (c) 2 c Let t = -0.1 - -0.07. Let m = 3.03 + t. Let z = 35 + -34.9. What is the closest to -1/4 in m, z, -4? z Let v be (340/45)/4 + -2. What is the closest to 1/4 in -0.1, 5/2, v, -0.4? -0.1 Suppose -3*i + 3 = 0, -5*i + 4 = -4*t - 1. Suppose t = -3*s + s. Let n = 1 - 1.4. Which is the nearest to s? (a) 2 (b) n (c) 7 b Let m be (-948)/(-14) - 10/(-35). Let x be 4/14 - m/(-56). Suppose -3*s = s + 8. Which is the nearest to s? (a) x (b) -1/6 (c) 3 b Let n be (10/(-7) - -1)*(-22)/99. What is the nearest to 0 in -2/5, n, 30, 0.3? n Let b = -11/119 + 4/17. Let t be 1/9 - 1 - (-276)/1242. What is the nearest to t in 0.12, 0.3, b? 0.12 Let i = -0.3 + 0.5. Let r = -0.024 - 0.046. Let x = -0.03 + r. What is the closest to i in x, -0.3, -2? x Let k = 7.2 + -7.6. Let y = 50 + -50.2. What is the nearest to y in k, 6/7, 2? k Let p be 6 - (-13 - -13 - 1). Let m = 5 - 4. Which is the nearest to m? (a) p (b) 1/6 (c) -4 b Let v = 412 + -406. What is the closest to -3 in 0, v, 1, 0.5? 0 Let f = -0.307 - 0.013. Let l = -0.62 - f. What is the closest to -0.1 in -8, l, -0.5? l Let m = -2.03 + 1.63. What is the closest to 2 in -0.5, m, -7? m Let l = 26 - 31. Let r be (2 + (-24)/9)*(2 + -1). Which is the nearest to 1? (a) l (b) r (c) -0.5 c Let w = 1574 - 1583. Which is the closest to -1/3? (a) -6 (b) -5 (c) w b Suppose -2*n - 14 = -4*n. Let a = n + -6. Let f be (-6 - -7)*a*5. What is the closest to -0.2 in -1, 2/3, f? -1 Let t be 27/(-6)*104/(-156). What is the closest to -2/5 in 0.03, 2/5, -0.3, t? -0.3 Let h = -138 + 116.1. Let b = h + 22. What is the closest to b in -2, 1/2, 1/14? 1/14 Let c = 0.4182 + -0.2182. What is the closest to 1.09 in 1/3, c, -5? 1/3 Suppose 0 = 3*l - 2*z - 4, l + 5 = -3*z - 1. Suppose 5*n = -l*n - 5. Let g = -178/3 - -60. Which is the closest to -2? (a) 0 (b) n (c) g b Let u be 7/(-49)*(-21)/12. Which is the nearest to 3/10? (a) 1/3 (b) -9 (c) -2 (d) u a Let y = -5 - -6. Let t = -0.0399 + -0.0601. What is the nearest to -0.1 in -3, t, y? t Let y be (2/(-8))/(21/(-24)). Let i = -1079 - -1080. Which is the closest to 1? (a) 0.1 (b) i (c) y b Let d be -4 - (-36*(-3)/(-51) + -2). What is the closest to 0.1 in -5, 1/4, d? d Let t = -1 - -2.8. Let r = t - 2. Let c be 8/(-20) + (-23)/5. What is the nearest to 1 in c, r, 3? r Let h = -6.4 + 6.5. Suppose 4*o = -o - 50. Let a be (-1)/o*5/3. What is the closest to 1 in h, 5, a? a Let q = 7.5 - 7.5. What is the nearest to q in 2, 1/20, 8? 1/20 Let h = 3.04 + -0.04. Let r = 49/138 + -1/46. Let v = 300 - 2397/8. What is the closest to r in h, 1, v? v Let u = -13.8 + -57.2. Let n = u + 71.4. What is the nearest to 1/3 in 0.2, n, -4? n Let n be ((-9)/(-36) - 8/32)/(-3). Let x = -1.3 + 0.3. Which is the closest to x? (a) n (b) -1/2 (c) -0.2 b Let g = -0.0315 + 0.2315. Which is the closest to -132? (a) g (b) 3 (c) 2/5 a Let y = -580 - -2902/5. Which is the nearest to 1? (a) -2 (b) y (c) 5 (d) 1/6 b Let n = 130 + -779/6. Which is the nearest to -1/3? (a) -5 (b) n (c) 5 b Let m = -11.3 + 11. Let d = -0.7 + -0.3. Let q = 0 + d. Which is the nearest to q? (a) m (b) -2 (c) -0.5 c Let p = -2 - -2. Let s = 26 - 25.959. Let j = -17.959 - s. Which is the closest to -0.1? (a) -0.5 (b) p (c) j b Let v = 7 + -3. Suppose 3*f - 21 = -4*q, -2*q + 12 - 3 = f. Which is the closest to f? (a) v (b) -3/8 (c) -3 a Let o = 234 + -937/4. What is the nearest to -2/9 in o, -60, 2/9? o Suppose 22*w - 25*w = 0. What is the nearest to -1 in -0.2, -0.4, w, -4.9? -0.4 Suppose 7 = -14*w + 13*w, 4*w - 14 = 6*t. Let y = 0 - -0.1. What is the nearest to y in t, -1/2, -0.4? -0.4 Let u = -6 + 4. Let m = -0.112 + -0.498. Let j = 0.71 + m. What is the nearest to -1 in u, 2, j? u Let o be ((-4)/(-27) - (-2)/(-18))*-6. Which is the nearest to 6? (a) o (b) 1 (c) 1/4 (d) 5 d Let n be (12 - 8) + (-2 + 0)/1. Which is the nearest to 0.1? (a) -2/11 (b) 1/3 (c) n (d) 2/3 b Let o = 3.92 - -0.08. Let i = 16.83 - 0.33. Let p = 16 - i. Which is the closest to 0.1? (a) p (b) 2/3 (c) o b Let w be (-29)/(957/44)*18/(-40). Which is the closest to 1? (a) 25 (b) w (c) -3 (d) -0.4 b Let v = -2 + 1. Let n = -0.088 + 0.432. Let z = 0.056 + n. Which is the closest to v? (a) 0 (b) -0.4 (c) z b Suppose 0*l = 2*l + 3*i + 25, 0 = -3*l - 4*i - 35. What is the closest to -5 in -0.3, l, 0.5? l Suppose 4*t + 48 = 3*v, t - 2*t + 21 = 2*v. Let g be (v/(3/(-1)))/(-6). Let h = 3 + -2.8. Which is the closest to 1? (a) h (b) g (c) -5 b Let h = -227 - -227. Let f be ((-1)/468)/(4/(-366)). Let y = -7/39 - f. Which is the closest to h? (a) 0 (b) y (c) -4 a Let c = -238.5 + 239. Let o = -5 + 2. What is the closest to -14 in o, 0.3, c? o Let f = -132 - -132. What is the closest to -2/3 in -0.1, 0.1, f? -0.1 Let n = -1.48 + 1.58. Let o = 59.5 - 59. What is the nearest to n in -1/11, o, 4? -1/11 Let h be -5 - -1 - (13 + 195/(-12)). Let g be -4*(-2)/4 - 2. What is the nearest to g in h, 0, 3? 0 Let u = 40.5 - 41. Which is the closest to -0.1? (a) 8 (b) u (c) -2 b Let g = 0.5 - -1.5. Suppose 14 = 2*m + 4*x, -3*m + 6 = x - 5. Suppose 2*l = m*l + 1. Which is the nearest to l? (a) 1 (b) 0 (c) g b Let w = 3.6 + -3.55. Let j = -0.35 - w. Let t = -14.5 + 14. Which is the nearest to 0.1? (a) 2/3 (b) j (c) t b Let u = -1.07 + 0.07. Let l = 3252 + -3252. Let k = 0 + 0.1. What is the closest to l in 2/3, u, k? k Let m = -45 - -46.4. Which is the closest to m? (a) 1 (b) -5 (c) -1/3 a Let s = -0.3 - 1.7. Let o be (0 - 1/3)/(92/(-828)). Suppose 0 = 5*y + 3*g - 34, 0*y + 5*g - 35 = -4*y. What is the nearest to s in o, 0.5, y? 0.5 Let o = 0.255 - -0.245. Which is the nearest to -4/7? (a) o (b) -0.3 (c) -1 b Let w = -0.206 - 0.094. Which is the nearest to -9? (a) w (b) 1/4 (c) -0.4 c Let z be 6*(-4 + 905/225). Let s = -2 - -3. Let f be (2/(-15))/((-3)/(-5)). Which is the closest to s? (a) z (b) f (c) -3 a Let s = -34 + 34.3. Let d = 19.6 - 20. Which is the closest to s? (a) -4 (b) d (c) -3/2 b Let x = 31 + -32. Let l = 7 - 6. What is the nearest to l in -37, x, 1? 1 Let i be (1 + 1 - 3) + 27. Let d be 6 + -3 + (-82)/i. Let y be (1*2)/((-32)/(-4)). Which is the closest to y? (a) d (b) 0.4 (c) -3 b Let p = -2 - 0. Let h = -542 - -542.1. Which is the nearest to p? (a) -0.07 (b) h (c) 0 a Let d = -11.519 + 0.019. Let q = d - -8.5. What is the closest to -1 in q, 1/4, -5? 1/4 Let m be (-5*8/(-240))/((-9)/(-6)). What is the closest to 3 in m, -1/4, -2/3? m Let t = 0.3 - 0.2. Let f = 31/92 - 2/23. Let d = 37.1 - 37.3. Which is the nearest to f? (a) d (b) 2/11 (c) t b Let i = 131.47 + -132. Let o = 2.53 + i. Let k = -2.5 + 3. Which is the nearest to 0? (a) -1 (b) o (c) k c Let s = -338 + 340. Let r be (-1*1)/(-3 - 2). Which is the nearest to -2? (a) r (b) s (c) 0 c Let w = 137 - 145.1. Let y = w - -4.1. What is the closest to 2 in 1/6, y, -3/2? 1/6 Let k = 875 + -876. What is th
{ "pile_set_name": "DM Mathematics" }
late (-30)/(-120)*-4*6/(-8). 3/4 What is (-16)/24*-3*(-1)/3? -2/3 Evaluate (-21)/24*(-36)/(-126). -1/4 What is ((-1)/(-2))/((-2)/240*-6)? 10 Evaluate 1*(-9)/(-12)*(-4)/6. -1/2 Evaluate (-2)/(-2)*-1*1*-1. 1 Evaluate -2*(-84)/(-4)*1/6. -7 What is 6/(-18)*2/3? -2/9 What is (-60)/(-525)*((-100)/(-8))/(-5)? -2/7 What is (4/(-5))/(56/(-20))? 2/7 What is the value of (2/8*8)/(18/27)? 3 Calculate (-4*27/360)/((-3)/(-4)). -2/5 What is the value of (-5)/(-1)*(-40)/(-50)? 4 What is ((-4)/12)/(4/(-12))? 1 (2/(-1*10))/((-264)/165) 1/8 What is ((5/21)/(-5))/((-2)/(-4))? -2/21 ((-4)/(-30))/((-28)/(-126)*-1) -3/5 Calculate (-3*(-2)/(-15))/((-24)/5). 1/12 Evaluate (-2)/(-3)*40/(-16)*3. -5 ((-21)/(-10))/(-7)*(-52)/(-117) -2/15 What is the value of ((-6)/5)/(7/(560/24))? -4 (27/((-4860)/(-24)))/((-9)/(-15)) 2/9 What is 10/8*(-4)/10? -1/2 Calculate (2*-2)/((-4)/8*2). 4 Evaluate (10/18)/(-10*5/60). -2/3 4/(-6)*((-675)/10)/(-9) -5 Calculate 3/17*(100/(-15))/(-10). 2/17 Evaluate ((-4)/16)/(2*1/(-4)). 1/2 (4/2)/(1/((-5)/(-20))) 1/2 (-1*(-1)/(-1))/(1/(-4)) 4 Evaluate 1*(-1)/2*0. 0 What is 3*3/(-45)*(-60)/(-32)? -3/8 What is (15/(-20))/((-4)/32*-1)? -6 What is the value of 2/((-1)/10*-4)? 5 Evaluate ((-4)/(36/(-15)))/(7/(-21)). -5 Calculate (4/6)/((-15)/36*-2). 4/5 What is (-6)/10*(-115)/(-46)? -3/2 What is (4/(-60))/(8/(-480)*-10)? -2/5 What is the value of ((-3)/(-9))/((-5)/(-15))*-1? -1 What is 2/(-12)*(-5)/((-125)/20)? -2/15 Calculate 24/(-24)*(-2)/(-6). -1/3 What is the value of (-35)/30*2/(-14)? 1/6 (-154)/77*4*1 -8 What is the value of (18/27)/(4/54)? 9 Calculate ((-72)/(-54))/(20/135*1). 9 Evaluate 31/341*((-55)/(-2))/5. 1/2 What is the value of ((176/24)/(-11))/(19/(-3))? 2/19 Calculate (((-308)/33)/14)/(-6). 1/9 What is the value of 2/((9/(-12))/((-18)/(-16)))? -3 What is -1*(-5)/75*-9? -3/5 Evaluate (1/39)/((-11)/(858/13)). -2/13 Calculate (2/(-5))/((-7)/(-70)). -4 Calculate ((-8)/(-2))/(-8)*0. 0 Evaluate (-15)/9*324/(-90). 6 Calculate 1*7/(245/(-10)). -2/7 What is the value of 4/(-3)*(-21)/210? 2/15 What is the value of 8/(-60)*-6*(-2)/4? -2/5 What is the value of 0/((-12)/9*-6)? 0 ((-13)/(-12))/13*15/5 1/4 What is the value of (-5)/(-45)*3*15? 5 Calculate (5/((-45)/(-6)))/((-8)/3). -1/4 Calculate ((-2)/3)/((-4)/24). 4 Calculate ((-7)/(14/8))/42. -2/21 Evaluate ((-6)/(-72))/(3/(-24)). -2/3 Evaluate 32/(-56)*(-2)/((-32)/56). -2 What is 2/1*8/(-4)? -4 What is (-18)/(-2)*1*6/(-36)? -3/2 Calculate 2/(-60)*8/2. -2/15 What is the value of ((-56)/42)/(8/12)? -2 What is 0/(((-36)/(-9))/4)? 0 Calculate (-1*1)/(((-1)/1)/1). 1 ((-144)/72)/((-2)/2) 2 Evaluate 36/(-4)*5*8/60. -6 What is the value of 6/14*(-12)/108*-6? 2/7 Evaluate 3/10*-15*7/(-189). 1/6 ((-60)/24)/(15/(-12)) 2 261/522*(-2)/(-2)*-2 -1 What is (-816)/48*6/(-51)? 2 (2/8)/((1314/(-216))/(-73)) 3 -1*(28/49)/(8/28) -2 Calculate (-4)/3*((-9)/21)/(-1). -4/7 What is the value of 16/(-6)*((-174)/72)/29? 2/9 (4/(-6))/((-84)/(-63))*-6 3 What is ((-108)/(-243))/((-3)/(-27))? 4 What is (-2)/(-1)*-2*(-3)/(-12)? -1 Calculate -1*(-15)/(630/12). 2/7 Calculate ((-1)/((50/4)/5))/(-1). 2/5 Evaluate (84/56)/(-3*10/8). -2/5 What is (-1)/((-145)/(-58)*4/50)? -5 What is (-141)/(-94)*(-1)/(-18)*8? 2/3 Calculate 15/1*(-132)/(-990). 2 What is the value of ((-7)/2*44/77)/1? -2 What is the value of (5/2)/(2*5/(-20))? -5 Evaluate 0/4*(-4)/4. 0 What is the value of ((-2)/4)/((-36)/(-6))? -1/12 What is ((-35)/7)/(2/2)? -5 (3/6)/((-30)/(-8))*-5 -2/3 What is 3/(-2)*9/((-135)/10)? 1 What is the value of (-44)/99*(-6)/(-4)? -2/3 -3*3/(-36)*16 4 What is (-9)/108*8/5? -2/15 Calculate ((-4)/6)/(11*(-2)/(-165)). -5 Evaluate (3/8)/(15*2/100). 5/4 ((-3)/12)/((-10)/(-16)) -2/5 ((-25)/2)/(-5)*(-186)/155 -3 What is the value of ((-2)/(12/(-9)))/(6/(-8))? -2 Evaluate (-53)/106*4/(-14). 1/7 (-2)/(-12)*-8*(-13)/(-52) -1/3 Evaluate ((-70)/(-21))/5*18/4. 3 Evaluate (2/16*-2)/((-21)/21). 1/4 What is 9/(108/(-32))*(-3)/(-2)? -4 (-10)/28*15*18/1350 -1/14 What is the value of ((-2)/5)/((52/8)/(-13))? 4/5 What is the value of ((9/8)/(-9))/(-1*1)? 1/8 5/(-30)*(168/(-20))/7 1/5 What is ((-11)/33)/((-10)/(-12))? -2/5 What is 2*(-4)/20*(-3)/6? 1/5 What is the value of (505/202)/(2/4)? 5 What is the value of 48/(-12)*3*1/(-4)? 3 What is the value of (1*-1*1)/(116/(-348))? 3 Evaluate ((-1)/1)/((-17)/2). 2/17 ((0/4)/(3/(-3)))/(-2) 0 Evaluate (-4*(-33)/(-22))/(4/2). -3 Evaluate (-9)/(-45)*(-4)/6. -2/15 What is ((-282)/(-1645))/(4/14)? 3/5 Calculate ((-15)/(-210))/((-1)/(-4)). 2/7 (18/(-15))/((-6)/(-40)*-2) 4 Evaluate (36/90)/(2/40). 8 Evaluate (((-795)/(-90))/53)/((-3)/2). -1/9 What is (5/(-10))/(2/48*-4)? 3 What is the value of 42/36*(-2)/7*12? -4 What is ((-3)/(-9))/((-28)/12)? -1/7 What is the value of 30/35*(-14)/(-8)? 3/2 What is the value of ((-500)/150)/((-2)/3)? 5 What is the value of (6/(-8))/((-261)/(-464))? -4/3 What is (-18*(-4)/126)/(2/(-7))? -2 Calculate (4/(-54))/(8/24). -2/9 (3/(3/5))/1 5 Evaluate (4/(-6))/(18/81). -3 Calculate (-27*3/(-18))/(9/(-12)). -6 What is (-8)/3*66/44? -4 Evaluate (9/(-27))/((-5)/15*-7). -1/7 Evaluate (-3)/12*(-8)/(-4). -1/2 Evaluate (-1)/((-3)/(-27)*-3). 3 What is (-415)/(-83)*2/(-8)? -5/4 What is the value of -1*6/(3/((-9)/(-6)))? -3 What is the value of 6*(4/28)/(22/(-77))? -3 Evaluate ((-35)/56)/(3/(-12)). 5/2 Calculate 4*(6/(-1))/132. -2/11 ((-56)/35)/(4/10) -4 What is 6*-1*(600/90)/4? -10 Evaluate 55/(-10)*(-4)/44. 1/2 Evaluate ((-9)/(-7))/1*(-114)/(-513). 2/7 What is the value of ((8/10)/(-4))/((-77)/220)? 4/7 Evaluate ((-24)/(-75))/(6/(-15)). -4/5 Calculate (4/(-195))/(148/(-370)). 2/39 What is the value of (-6)/28*(-140)/(-40)? -3/4 Calculate (22/(-924))/(-4*(-3)/(-42)). 1/12 Calculate (410/164)/((-2)/4). -5 Calculate -8*(-6)/(-24)*4. -8 6*(-270)/36*1/5 -9 What is the value of (3/(-12))/((-132)/48)? 1/11 What is ((-9)/6)/(25/(-40)*-4)? -3/5 Calculate ((-18)/(-135))/((-4)/6). -1/5 What is the value of 335/(-938)*(-6)/5*-1? -3/7 What is the value of (-17)/(-34)*(-3)/((-27)/(-15))? -5/6 Calculate 1/(-4*4/(-16)*-1). -1 Evaluate ((-5)/(-25)*2)/(30/25). 1/3 Calculate (-3)/(-1)*2/(-3). -2 Evaluate 0/3*(-1)/2. 0 ((-2)/(-12)*2)/(5/15) 1 Evaluate ((-10)/(-100))/((-1)/8). -4/5 What is 1/((-6)/(-3))*18/(-3)? -3 (3*(-8)/60)/(9/(-135)) 6 Calculate (1/(-2))/(-1)*8. 4 0/(30/30*-1*1) 0 Calculate (-4)/16*15/(-15). 1/4 What is the value of 1/((-5)/(-120)*-4)? -6 Calculate (-583)/2332*1/1*1. -1/4 Calculate ((-2)/(-10))/(4/8). 2/5 What is the value of 2*-1*2*5/20? -1 ((-6)/12)/((-6)/(-3)) -1/4 7/(84/6)*16 8 ((-27)/(-18))/((-3)/(-40)*5) 4 Evaluate (-8)/45*355/(-284). 2/9 (8/(-6))/(918/81) -2/17 What is 5/(-10)*(-2)/(-4)? -1/4 Evaluate 2*((-16)/(-72))/(1/9). 4 What is (-24)/4*1/(-2)? 3 What is the value of (-1)/3*(-36)/(-10)? -6/5 What is -1*2*(-18)/(-180)? -1/5 What is (-4)/(-42)*(-999)/(-222)? 3/7 What is the value of 6/(-3)*20/40? -1 Calculate 1*((-15)/20)/((-1)/(-4)). -3 Evaluate ((-36)/(-30))/(2/(-5))*2. -6 What is the value of 1/(-5)*(-95)/19? 1 What is the value of ((-28)/98)/((-8)/(-14))? -1/2 Calculate ((-1)/(6/(-4)))/(408/153). 1/4 What is ((13/(-117))/(3/(-9)))/1? 1/3 Calculate (8/(-78))/((-11)/(264/(-16))). -2/13 (6/(-2))/(9/12) -4 Calculate (5*(-6)/(-180))/((-1)/2). -1/3 5/(-20)*(-2)/(-4) -1/8 What is the value of 8/(-2)*(-27)/18? 6 3*((-3)/10)/((-1224)/340) 1/4 Calculate 18*5/(-6)*72/(-270). 4 What is the value of (-4)/2*((-513)/18)/(-19)? -3 What is 2*(-33)/22*1? -3 Calculate (-11)/484*-11*-36. -9 Calculate ((-6)/(-4))/((-22)/132). -9 What is the value of 0*-5*7/210? 0 Evaluate (-3)/(-24)*1*62/31. 1/4 What is 12/8*((-8)/(-6))/(-1)? -2 What is ((-128)/(-288))/((-3)/9)? -4/3 Evaluate (7/21)/((-1)/9). -3 What is the value of 7/(-56)*6/1? -3/4 Evaluate (-78)/702*0/(-3). 0 Calculate 10*(-3)/(-60)*0. 0 Evaluate (1/(-2))/((-2)/(40/(-35))). -2/7 ((-924)/126)/((-2)/3) 11 What is the value of (-3)/(-3)*-20*(-26)/(-65)? -8 What is the value of 81/(-30)*(-8)/12*5? 9 Evaluate ((-21)/(-9))/(-7)*0. 0 Evaluate (4/2)/12*(-8)/1. -4/3 Evaluate (((-6)/(-15))/1)/(2/(-1)). -1/5 Calculate 3*(21/(-14))/(12/(-8)). 3 Evaluate 2/(-14)*-2*28/(-48). -1/6 Calculate 6*3/9*-1. -2 What is the value of (-36)/(-9)*(-21)/144*-4? 7/3 Evaluate ((-6)/((-48)/(-4)))/((-2)/(-12)). -3 Calculate (-10)/(-18)*24/40. 1/3 What is 2*4/(-12)*3? -2 Evaluate (-3)/(-4)*2/
{ "pile_set_name": "DM Mathematics" }
+ 25. Let t be -15 + 1 + (-2)/(-1). Let z(a) = 4*a + 5. Determine t*z(v) + w*b(v). 2*v Let p(t) = t. Suppose -3*k = 10 - 13. Let o(d) = 15*d. Give k*o(a) - 18*p(a). -3*a Let o(j) = -3*j**2 + 10*j - 1. Let p(b) = -4*b**2 + 10*b - 1. Give 6*o(f) - 5*p(f). 2*f**2 + 10*f - 1 Suppose -2*w - 5*d = -25, w + 30 - 10 = 4*d. Let v = 1 - w. Let s(t) be the first derivative of t + 1. Let x(m) = -2*m - 3. Calculate v*x(f) + 2*s(f). -2*f - 1 Suppose -3*u + 7 + 8 = 0. Suppose g - u*o - 14 = 0, 3*g - 4*g - 4*o = 31. Let s = 1 - 3. Let r(i) = i - 1. Let y(t) = -5*t + 5. Give g*r(h) + s*y(h). -h + 1 Let c(g) = 9*g**3 + 9*g**2 + 4*g. Let o(n) be the first derivative of -n**4 - 4*n**3/3 - n**2 - 5. Let q = 4 + -6. Determine q*c(d) - 5*o(d). 2*d**3 + 2*d**2 + 2*d Suppose -g = -0 - 2. Suppose g*n + 21 = -n. Let x(t) = 4*t**2 + 3. Let a(w) = -9*w**2 - 7. Determine n*x(u) - 3*a(u). -u**2 Let t(n) = n - 1. Let x(m) = 72*m + 4. Determine 4*t(z) + x(z). 76*z Let m = 9 - 6. Let x(j) = -m + 1 + 3*j + 1 - 3. Let v(p) = 10*p**3 + p. Let w be v(1). Let s(r) = 16*r - 21. Calculate w*x(h) - 2*s(h). h - 2 Let c(z) = 4*z - 3. Let y(m) = -m + 1. Let s(t) = 2*c(t) + 6*y(t). Let b(f) = 3*f + 1. What is 3*b(r) - 4*s(r)? r + 3 Let o be 12 + (-1)/(2/((-8)/(-4))). Let k(t) = -8*t**2 + 7. Let y(z) = 4*z**2 - 4. Calculate o*y(p) + 6*k(p). -4*p**2 - 2 Let t(x) = -x**3 - x**2 + 1. Let z(v) = v**2. Suppose 5*q = -4*c + 5, -12 = -q + 2*c + 3. Let g be ((-39)/15 + 3)*q. Calculate g*t(b) + 4*z(b). -2*b**3 + 2*b**2 + 2 Let q(o) = -3*o**3 + 5*o**2 + 2*o - 8. Let w(b) = -2*b**3 + 3*b**2 + b - 5. What is 5*q(g) - 8*w(g)? g**3 + g**2 + 2*g Let g(p) be the third derivative of -p**4/24 + p**3/6 + p**2. Let a(k) = 3*k - 2. Let n be 8 + -14 + 10 + -7 + 1. What is n*a(x) - 4*g(x)? -2*x Let m(j) = 3*j**2 + 2*j**3 + 5*j - 3 - 5*j**2 + 3*j**2 - 4*j**2. Let a be (-2)/(1/(-3)*2). Let s(h) = -5*h**3 + 8*h**2 - 14*h + 8. Calculate a*s(d) + 8*m(d). d**3 - 2*d Let l(t) be the third derivative of -t**6/60 - 5*t**3/6 + 7*t**2 + 3*t. Let v(w) = 6*w**3 + 16. Let h be -1 + (16/(-2))/(-2). Determine h*v(a) + 10*l(a). -2*a**3 - 2 Let g(h) = 11*h**2 + 7*h - 3. Let u(a) = -5*a**2 - 3*a + 2. What is -3*g(x) - 7*u(x)? 2*x**2 - 5 Let w(r) = r**3 + r**2 + 1. Let k(x) = -x**3 + x. Let i(y) = -7*y**3 + 4*y**2 + 6*y + 1. Let t(u) = -i(u) + 6*k(u). Give t(m) + w(m). 2*m**3 - 3*m**2 Let s(n) = 4*n - 7. Let a(p) = 3*p - 6. Suppose 10 = 4*u - 9*u. Let w be 62/(-10) + u/(-10). Determine w*a(m) + 5*s(m). 2*m + 1 Let y(w) = 2*w. Let i(t) = -t - 4. Let z(p) = i(p) - y(p). Let v(m) = 4*m + 5. What is -2*v(d) - 3*z(d)? d + 2 Let x(k) = 2*k + 11. Let a(j) = -6*j - 32. Determine -6*a(o) - 17*x(o). 2*o + 5 Let c = 17 + -13. Let m(v) = v**2 - 1. Let y(d) be the second derivative of -5/2*d**2 + 1/3*d**4 - 1/20*d**5 - 1/6*d**3 + 0 + 3*d. Determine c*m(u) - y(u). u**3 + u + 1 Let w(h) = 5*h - 1. Let d(l) = 11*l - 2. Let m(t) = -6*d(t) + 13*w(t). Let y(q) = -q - 3. Calculate -3*m(v) + y(v). 2*v Let l(d) = -d. Let i(f) = 0*f**2 + 5*f + 3*f**2 - 5*f**2 + 0*f. Calculate i(w) + 6*l(w). -2*w**2 - w Let l(t) = -10*t**2 + 7. Suppose 3*p + 6 + 34 = 4*a, 0 = -5*a - 2*p + 27. Let n(j) = -7*j**2 + 5. Give a*n(z) - 5*l(z). z**2 Let u(s) = 7*s - 4. Let q(g) = 0*g - 10*g - 13 + 10 + 9. What is -5*q(o) - 7*u(o)? o - 2 Suppose w = -7*w - 48. Let u(g) = 4*g - 7. Let r(l) = -2*l + 4. What is w*u(t) - 11*r(t)? -2*t - 2 Let b be (-28)/(-12)*-6*1. Let f be 4/b - (-108)/(-14). Let q = -11 - f. Let o(z) = 2*z. Let t(l) = -l. Give q*o(r) - 5*t(r). -r Let m(c) = 0*c + 5*c - 5*c + c. Let r(g) = -3*g. Calculate 6*m(q) + r(q). 3*q Let i(l) = -2*l**2 + 8*l - 7. Let j be i(4). Let n(t) = -7*t + 2. Let a(s) = -8*s + 2. Give j*n(q) + 6*a(q). q - 2 Let z(k) be the second derivative of 2/3*k**3 - k + 1/2*k**2 + 0. Let r(q) = q**3 - q + 1. Give -2*r(s) - z(s). -2*s**3 - 2*s - 3 Let l(j) be the second derivative of j**4/12 + 7*j**3/6 - 8*j. Let g(x) = x**2 + 6*x. Determine 7*g(m) - 6*l(m). m**2 Let r(l) = -2*l**2 - 5*l. Let q(j) be the third derivative of -j**4/24 + 20*j**2. Let t be 45/(-55) + (-2)/11. Determine t*r(h) + 6*q(h). 2*h**2 - h Let p(o) be the second derivative of 7*o**5/20 + 5*o**4/12 + 2*o**3/3 - 3*o**2 - 6*o. Let c(h) = -h**3 - h**2 - h + 1. Calculate -6*c(i) - p(i). -i**3 + i**2 + 2*i Let s(q) = q - 14. Let i be s(7). Let m(d) = -3*d - 5. Let w(y) be the first derivative of -3*y**2 - 9*y - 4. Calculate i*m(u) + 4*w(u). -3*u - 1 Let v(s) = -s**3 + 3*s**2 - 5. Let a be 2*1 - 49/7. Let f(b) = 2*b**3 - 5*b**2 + 8. What is a*f(q) - 8*v(q)? -2*q**3 + q**2 Let r(w) = 4*w**2 - 2*w + 1. Let q(o) = -5*o**2 + 2*o - 2. Determine -5*q(x) - 6*r(x). x**2 + 2*x + 4 Let h(v) = -4*v**2 - 7*v**2 - 6*v**2. Let f(u) be the second derivative of u**4/3 - 6*u. Suppose -2*a + 24 = -6*a. What is a*h(k) - 26*f(k)? -2*k**2 Let g(d) = 5. Let m(p) be the second derivative of p**3/6 + 11*p**2/2 - 23*p. Give 5*g(q) - 2*m(q). -2*q + 3 Let b(g) be the second derivative of g**5/20 + g. Let p(h) = h**2 + 4*h + 2. Let v = -1 - 3. Let t be p(v). Let o(j) = -j**3. What is t*o(w) + b(w)? -w**3 Let g be 3*2*(-1)/(-2). Let h(c) = 4 - 5*c + g*c - 5*c**2 + 2*c - c. Let o(b) = -b**2 + 1. What is -h(v) + 4*o(v)? v**2 + v Let p(c) = -11*c. Let t(d) = 4*d. Calculate -2*p(a) - 7*t(a). -6*a Let i(w) = 2*w**3 + 4*w + 5. Let v be 12/18*3/1. Let l(u) = 3*u**3 + 9*u - v*u**3 + u**3 + 2*u**3 + 11. What is -13*i(b) + 6*l(b)? -2*b**3 + 2*b + 1 Let r(k) = -17*k**2 + 4*k + 17. Let q(b) = 8*b**2 - 2*b - 8. Determine -13*q(l) - 6*r(l). -2*l**2 + 2*l + 2 Let l(d) = -15*d - 10. Let r(w) = 5*w + 3. What is 2*l(b) + 7*r(b)? 5*b + 1 Let q(o) = 5*o + 2. Let b(p) = -2*p - 1. Let s(n) = -13*b(n) - 6*q(n). Let x(z) = 9*z - 2. Determine 5*s(a) + 2*x(a). -2*a + 1 Let n(z) = 9*z**3 - 5*z**2 - 3*z - 7. Let c(s) = 4*s**3 - 2*s**2 - s - 3. Calculate 5*c(m) - 2*n(m). 2*m**3 + m - 1 Let m(s) = -9*s + 8. Let t(y) = 27*y - 23. Let q(o) = -7*m(o) - 2*t(o). Let n(p) = -8*p + 9. Give -7*n(z) - 6*q(z). 2*z - 3 Let q(o) = -2 - 4*o + 0 + 2*o + 0*o**2 - o**2. Let j(z) = z**2 - z - 1. Calculate 2*j(k) - q(k). 3*k**2 Let c(d) = -4*d**3 - 4*d. Let l(h) = 11*h**3 + 11*h. Suppose 4*a + w - 7 = 1, w + 19 = 5*a. Determine a*l(r) + 8*c(r). r**3 + r Let s(r) = 8*r**2 - 3. Let d(b) = -4*b**2 - 5 + 2*b**2 + 3 + 9*b**2. Give 6*d(l) - 5*s(l). 2*l**2 + 3 Let y(c) = -3*c**3 + 9*c**2 + 9. Let b(n) = -2*n**3 + 5*n**2 + 5. Suppose 3*p + 40 = -5*s, 0 = s + s + 10. What is p*y(z) + 9*b(z)? -3*z**3 Let n(k) = -3*k - 1. Let u(t) = -12*t - 4. Suppose -5*c + 4*c + 9 = 0. Give c*n(d) - 2*u(d). -3*d - 1 Let v(g) = -g**3 + g**2 + g - 1. Let a(c) = c**3 - 3*c**2 + 5*c + 2. What is a(q) + 3*v(q)? -2*q**3 + 8*q - 1 Let p = 11 - 8. Suppose 0*v = -p*v + 27. Let u be v - 1 - (-14)/(-7). Let h(m) = 7*m**2 + m + 4. Let s(x) = x**2 + 1. Determine u*s(r) - h(r). -r**2 - r + 2 Let m(c) = 13*c + 5. Let d(h) = 12*h + 6. Determine -4*d(q) + 5*m(q). 17*q + 1 Let m(z) = 2*z**3 - 3*z**2 - 2*z - 3. Let s(c) = 2*c**3 - 4*c**2 - c - 4. Determine -4*m(f) + 3*s(f). -2*f**3 + 5*f Let f(d) = -8*d**2 - 2*d + 5. Let o(b) = -9*b**2 - 2*b + 6. Calculate 4*f(n) - 3*o(n). -5*n**2 - 2*n + 2 Let k(c) = -3*c**2 + 5*c. Let a(r) = -2*r**2 + 4*r + 1 - 1. Calculate 5*a(f) - 4*k(f). 2*f**2 Suppose 0 = 2*h - 8, 5*h = -3*w + w + 28. Let c(u) = 2*u**2 + 1. Let x(z) = -5*z**2 - 3. What is w*x(b) + 11*c(b)? 2*b**2 - 1 Let k(o) = -o**2 - o - 1. Let a(z) = z**2 + 3*z - 20. Calculate -a(s) - 3*k(s). 2*s**2 + 23 Let k(u) = -u**2 + 3. Let p(l) be the first derivative of l - 2 - 1/2*l**2. Give k(w) - 2*p(w). -w**2 + 2*w + 1 Suppose -2*t = -3*t - x, 3*t - 2*x + 10 = 0. Let g(h) = 5*h - 1. Let z(d) = d. Give t*g(i) + 9*z(i). -i + 2 Let p(w) = 59*w. Let t(x) = -324*x. What is 27*p(f) + 5*t(f)? -27*f Let r(y) be the first derivative of y**2/2 - 4*y - 1. Let t(z) be the third derivative of z**4/24 - 7*z**3/6 - 8*z**2. Calculate -5*r(f) + 3*t(f). -2*f - 1 Let h(s) = s + 3. Let p(a) = -a**3 - 2*a**2 + 0*a + 4*a**2 - 4 - a + 2*a**2. Let u be p(3). Let b(i) = -5 - u*i - 4*i + 2*i + 3*i. Determine 3*b(q) + 5*h(q). 2*q Let m(c) = 4*c**3 + 3*c**2 - 3. Let f(n) = -6*n**3 - 5*n**2 + 5. Let p be (-35)/(-7) - (-1 - -1). Give p*f(y) + 8*m(y). 2*y**3 - y**2 + 1 Let a(z) = -21*z**3 + 6*z**2 + 16*z. Let u = 19 + -21. Let p(m) = 4*m**3 - m
{ "pile_set_name": "DM Mathematics" }
+ 3 for g. -2 Suppose 22 = -q + 61. Let l = -36 + q. Solve -2 = l*t + 7 for t. -3 Suppose -4*k = -k + 5*y + 5, 4*y = -5*k - 4. Solve k = 7*w - 4*w - 6 for w. 2 Let q = -67 + 73. Let f be (-36)/(-20)*(q + -1) - -2. Solve -3*v - 5 = -f for v. 2 Let b be -22 + 20 - (0 + -5). Solve b*t = 7 - 4 for t. 1 Suppose 0 = 4*w - 0*w + 4*g - 28, -w + g = 3. Let r(p) = -p**2 + w*p + 0*p + 3*p - 3. Let f be r(4). Solve 5*t + 4 = -f for t. -1 Suppose 4*n = n + 5*g + 25, 0 = 3*n + 3*g + 15. Suppose 5*a + 3*u - 9 = n, -2*a - 16 + 7 = -3*u. Suppose -y = 1, r - 5*y - 5 = 6*r. Solve r*v + v - 4 = a for v. 4 Suppose 5*j - 2*p + 15 = -7*p, 2*p = 3*j - 6. Suppose -4*w + 2*q + 2 + 12 = 0, -2 = -w - q. Solve b = -w - j for b. -3 Let b = 7 - 3. Let c be 8*(-1)/b*-4. Suppose -2*x + 42 = 5*f, 3*f - c*f = -2*x + 22. Solve 4 = -4*w + x for w. 3 Suppose 1 - 5 = -2*k. Suppose 2*o + 3 = -2*u + 5, 3*u + k*o - 7 = 0. Suppose -125*a + 116*a + 36 = 0. Solve -21 = -a*x - u for x. 4 Suppose 4*v - 4*z + 2*z = 62, -25 = -5*z. Let m be 47/9 + (-4)/v. Solve 0 = -0*s - s - m for s. -5 Let t(o) = -4*o**3 + 6 - 3*o**2 + 6*o + 3*o**3 + 8*o**2 + 8*o. Let r be t(7). Let l = r - -5. Solve 3*p + 5 - l = 0 for p. 2 Let g(f) = f**2 - 9*f + 6. Let z be g(8). Let i be ((z - -2)/(-1))/(-1). Solve n + 2 + 0 = i for n. -2 Let o(s) = -3*s + 74. Let q(x) = -6*x - 84. Let u be q(-18). Let d be o(u). Solve -d*w = -0*w for w. 0 Suppose -5*l = -2*f + 20, -5*l = 2*f - 2 - 38. Solve -3 = -12*s + f*s for s. -1 Suppose -117*o + 56 = -113*o. Solve -o = -6*l + 4 for l. 3 Let l(x) = 7*x + 57. Let o be l(-5). Solve -o = -4*b - 6 for b. 4 Let o(w) = 148*w**3 + 1. Let r be o(1). Solve 4*n - 161 = -r for n. 3 Let j be (-20 - 703/(-38))/((-1)/2). Suppose -4*o = 2*g - 56, 7*o - 2*o + 5*g = 60. Solve o = -w - j*w for w. -4 Let k = -146 + 155. Solve 11*j + 10 = k*j for j. -5 Suppose -2*g = 0, 2*b + 2*b = 3*g + 120. Let n = -30 + b. Solve -2*c + 4*c + 2 = n for c. -1 Suppose -160*s = -150*s - 180. Solve 27*z - 21*z = -s for z. -3 Suppose 7 = 5*l - 5*q - 8, -l + 11 = 3*q. Solve l*u = -2*u + 14 for u. 2 Let i(s) = -s**3 - 6*s**2 - 6*s - 3. Let z(d) = -2*d**3 - 12*d**2 - 12*d - 6. Let j(k) = -7*i(k) + 3*z(k). Let o be j(-4). Solve 2 - o = 3*m for m. -3 Suppose -h - 32 = -9*h. Suppose -16*b = -18*b + h. Solve -b*m = -4*m - 4 for m. -2 Let h(u) = u - 5. Let m be h(7). Suppose 5*x - 30 = -x. Suppose 4*v + 2*q + 2*q - 20 = 0, -2*v - x = -q. Solve -m*d = -v*d for d. 0 Let l(z) = -2*z - 5. Let y = 15 - 11. Suppose 0 = -y*f - 26 + 2. Let r be l(f). Solve r*k = 2*k for k. 0 Let s be (-30)/(-9)*18/(-5). Let b be 50/8*(s - -16). Solve 5*r - 5 = -b for r. -4 Let f = 1055 + -1022. Solve 10*b - f = -73 for b. -4 Let l(y) = -5*y + 36. Let d be l(4). Solve -15*n + 5 = -d*n for n. -5 Let g be (-3)/(-4)*(-36)/(-9). Let j(v) = -v + g + 2*v + 1. Let d be j(6). Solve p = -p + d for p. 5 Suppose 13*x = -76 + 141. Solve -x*l = -6 + 21 for l. -3 Suppose 548*b - 540*b = 24. Solve 2*t - 5 = -b*t for t. 1 Suppose 50*l - 1128 = 3*l. Solve -22*b - l = -28*b for b. 4 Let w = 427 + -425. Solve 3*q + 10 = -w*q for q. -2 Let z(g) = -g**3 - 15*g**2 - 15*g + 3. Let i be z(-14). Suppose -6*k + i = -1. Suppose 3*s + 6 = -f, f + s - k*s = 9. Solve -f*u - 20 = 2*u for u. -4 Let r be (-60)/48 + 23/(-4) - -45. Solve 6 = 8*j + r for j. -4 Let t(h) = -h**3 - h**2 + 4*h + 1. Let s be t(-3). Suppose 5*d + s*d = 5*d. Let u = -7 + 11. Solve -u*y + y = d for y. 0 Let l(k) = -k**2 - 5*k - 7. Let r be l(-5). Let i(b) = b**2 + 5*b - 10. Let p be i(r). Let x(w) = 2*w**2 + 5*w + 9. Let o be x(-3). Solve 0*u - o = p*u for u. -3 Let r be 151/6 - (-7)/(-42). Suppose 4*w - r = -5. Solve 4*u - 11 = w for u. 4 Let a be (8 + 0 + 10)*2/6. Solve -13 = a*r - 31 for r. 3 Let j = -308 - -312. Let h = -4 + 35. Suppose -3*q - 5*f = -h, -3*q + 0*q = -j*f + 14. Solve 0*u = q*u for u. 0 Suppose x + 2*t - 3 = -0, t = -5*x + 15. Let m be 3*5/x - -1. Solve -5*r + m = 26 for r. -4 Suppose 0 = m - 4*m - 6. Let n(r) = -2*r**3 + 11*r**2 - 9*r + 8. Let z be n(3). Let c be z + m*(-1)/(-2). Solve 4*h = -h - c for h. -5 Let k be (-1)/(-4*4/(-64)) + 5. Let t be ((-1)/(-1) - k)/(-5 - -4). Solve t = -3*f + 6 for f. 2 Suppose 6 = -10*i + 6. Let h be 5 + 1/(-3)*-3. Suppose h*a - 9*a = i. Solve a = -0*k - 3*k + 15 for k. 5 Let a be 3 + 0 + 6 + -6. Solve 0*h + a*h - 9 = 0 for h. 3 Suppose 5*f + 1 = -4*g + 2*g, 0 = -5*g - 2*f + 29. Let x(m) = 2*m - 11. Let h be x(g). Let o be (h/(-5))/((-4)/20). Solve -o*n = -n + 8 for n. -4 Suppose 2*f = -3*t + 32 - 21, 4*f + 8 = 4*t. Let i(k) = -5*k**3. Let y be i(-1). Solve -c + y = t for c. 2 Let z(p) = p**2 + 5*p - 8. Let n be z(-10). Let f = n - 38. Solve 3*r - f*r + 5 = 0 for r. 5 Let i be (-3 + (-76)/28)*14/(-4). Solve 0 = -n - i + 15 for n. -5 Let c(x) = -x + 30. Let s be c(16). Solve 0 = -4*u - s + 6 for u. -2 Let g = -130 - -150. Suppose g - 44 = -6*n. Solve n*d = 2*d - 10 for d. -5 Let f = -27 + 27. Suppose 2*v + 2*v - 8 = f. Solve v = 3*w - 1 for w. 1 Let h be (3 - (-1 + 2))/1. Let v(q) = 6*q**3 + q**2 + 2*q - 3. Let w be v(1). Solve 0 = -h*m - 0 - w for m. -3 Suppose -3*r - 193 = -205. Solve 22*s - 24*s = r for s. -2 Let n = 233 + -209. Solve -4*r + 12*r = n for r. 3 Let x = 21 + -14. Let g(q) = q**3 + 8*q**2 - 11*q - 15. Let m be g(-9). Solve 5*b + m + x = 0 for b. -2 Let p(z) = -4 - 2 - 17*z + 15*z. Let y be p(-4). Suppose 0 = -3*u - y*j + 8, -4*u = 2*j - 2 - 8. Solve -3 = u*w - w for w. -3 Let m(g) = -g**2 + g + 4. Let n be m(0). Suppose 0 = -j - n. Let t = j + 4. Solve 4*k - 5*k - 5 = t for k. -5 Let q be -1 + -2 + 4/4 - 5. Let n(f) = f**2 + 6*f - 4. Let h be n(q). Solve 0 = -i - 2*i + h for i. 1 Let z be 10/(-6)*(1 + 2). Let g(t) = t. Let v be g(-2). Let b = v - z. Solve b + 3 = 2*y for y. 3 Let s(u) = -u**3 - u**2 + 21*u + 38. Let i be s(-2). Solve i = 4*w + 27 - 35 for w. 2 Let r(v) = 7*v**3 - v**2 + v + 2. Let o be r(2). Solve 20 = -o*j + 51*j for j. -4 Suppose -7*y = 15 - 22. Let v(b) = b**2 - 2*b + 4. Let i be v(5). Solve y + i = -5*q for q. -4 Suppose 28 = 3*w - w. Let p be 3/12 - 43/(-4). Let t = w - p. Solve 2*z = -t*z + 25 for z. 5 Suppose -22 = -2*s + 2. Let b be 46/(-8) - (-6)/(-24). Let t be 4*((-15)/b)/5. Solve -2*a - s = t*a for a. -3 Let x(b) = -11*b + 1. Let v be x(1). Let y be (v + -2)*(-3)/12. Solve -8*h + y*h = 0 for h. 0 Suppose 21*u = 72 - 30. Let w(i) = -i**2 - 3*i + 2. Let b be w(-2). Solve u*j = b*j for j. 0 Suppose 2*c + 4 = 4*y, -3*c + 21 = -y + 4*y. Suppose v = z - y, z + 2*v = -3*z + 12. Solve -z + 1 = -m for m. 2 Let r be (0 + 0)/(0 - 1). Let a = 114 - 128. Let o be (-112)/(-32)*(-40)/a. Solve o*s - 5*s + 15 = r for s. -3 Let j be (12 + -13)*2*1*-5. Solve 22*g + j = 24*g for g. 5 Suppose -3*a + 1 = 7. Let z be a/9 - 1090/(-45). Solve 4*g + 4 = z for g. 5 Let l = 1295 - 1243. Solve 8*b = -l + 12 for b. -5 Suppose -5*x = g - 6 - 16, 3*x + 2*g = 16. Solve -2*s + x = -0*s for s. 2 Let j be ((-8)/(-6))/((-8)/(-12)). Solve j*h = -h for h. 0 Let z = -4 - -2. Let v(l) = 2*l**2 + 2*l. Let m be v(z). Let d be (2/18)/((59 + -29)/810). Solve -a - m = -d*a for a. 2 Suppose -2*i + 45 - 7 = 0. Suppose v + 4*n - i = 0, -4*v - 6 = -5*n + 2. Solve v*r = -0*r + 12 for r. 4 Let j = 661 - 651. Solve j = 4*w - 10 for w. 5 Suppose -2*g = -6*g + 168. Suppose 14 = -n + 5*u, 0*n - 4*u + g = 2*n. Suppose 3*s - 4 = n. Solve s*w + 21 = 1 for w. -4 Suppose 19*l = 20*l - 12. Solve l = 33*b - 27*b for b. 2 Suppose -10 = -5*v + 10. Suppose 0 = 2*c - 3*w + 2, -4*w + 10 = 3*c - v. Let b(q) = -q**2 + 3*q - 1. Let s be b(c). Solve -11 = 4*o + s for o. -3 Suppose 4*n - f + 0*f = 4, 5*n = 5*f - 10. Let q(i) = i + 7. Suppose 5 = -3*j + 2*j. Let v be q(j). Solve -n*d = -4*d + v for d. 1 Suppose -4*w + 81 = -h - 0*h, -2*w - 5*h + 35 = 0. Solve -4*z + 0 - w = 0 for z. -5 Suppose -9*l = -15*l + 348. Solve -9*m = -l + 31 for m. 3 Let t = 30 + -25. Suppose -5*q + 0 = -t. Solve 3*v + q + 14 = 0 for v. -5 Let s = 16 - 26. Let b be 3/((s/6)/(-5)). Suppose b*g = 4*g + 15. Solve g*h = 2*h - 5 for h. -5 Let r(z) = 10*z + 209. Let a be r(-19). Solve a*u = 6*u + 65 for u. 5 Let g = 6 + -4. Suppose m - 4*s - 7 = 7, s + 11 = 4*m. Solve g*h - m = -12 for h. -5 Let u be 1/4*-10*-8. Let q = u - 17. Solve -q*c - 4 = -4*c for c. 4 Let w be 310/6 - (-10)/30. Let y be (-2)/13 + 60/w. Solv
{ "pile_set_name": "DM Mathematics" }
= 5 + 0. Suppose 3*p = 5*x - 4, 2*x = 3*x + h*p - 12. Determine g(x). -5 Let t(a) = a**3 - 8*a**2 + 3. Let b be t(8). Let k(f) = -7 + 10 - 4*f**b + 5*f**3 - f. Determine k(0). 3 Let a(d) = d**2 + 3*d - 14. Let z(w) = 2. Let l(n) = a(n) + 3*z(n). Calculate l(-6). 10 Let y = 21 - 19. Let s be (y - 4/2)/(-1). Let u(i) = -i - 6. Give u(s). -6 Let o be -9 - 6*(-5)/(-10). Let t = 14 + o. Let g(w) = w - 3*w**2 + 1 + 3 - 2. Determine g(t). -8 Let j be ((-48)/(-20))/((-16)/40). Let m(f) = 5*f - 10. Let v(u) = 6*u - 11. Let r = -18 - -25. Let z(g) = j*v(g) + r*m(g). Calculate z(6). -10 Let n(s) = 14*s**2 + 50*s - 22. Let u(c) = 5*c**2 + 17*c - 7. Let x(t) = -6*n(t) + 17*u(t). Let f = 2923 - 2914. What is x(f)? -5 Let h(s) be the third derivative of 6*s**2 + 0 - 1/6*s**4 + 1/2*s**3 + 0*s. Suppose 2*k + 3 = 7. What is h(k)? -5 Let t(c) = c**3 + 5*c**2 + 2*c - 2. Let s(p) = -3*p**2 - 12*p - 12. Let h be s(-3). What is t(h)? 10 Let h(i) = -i**2 + 4*i + 13. Suppose -14 = -z + 4*s, -4*z + 6*z + 5*s - 2 = 0. Give h(z). 1 Suppose d = -2*g + 1, -3*g + 2*d + 21 = -3*d. Let y(h) = 2*h - g*h + 0*h - 2*h - 1. Suppose -9 = -10*w + 11. Calculate y(w). -5 Let c(m) = 11*m - 85. Let q be c(8). Let y(l) be the third derivative of 0*l - 5/24*l**4 + 0 - 1/120*l**6 + q*l**2 - 1/10*l**5 + 7/6*l**3. What is y(-5)? 7 Let t = 6 + -3. Let d(l) = -2*l + t*l - 2*l. Let i(k) = 3*k**2 + 14*k - 83. Let f be i(-8). Calculate d(f). 3 Let j(v) = v**3 + 6*v**2 - 6*v + 3. Let x(d) = 60*d**2 - 3*d + 1. Let t be x(1). Suppose -t*w = -63*w - 35. Give j(w). -4 Let g = 24 - 19. Suppose 4*h - 30 = 5*k - 2*k, g*k = 5*h - 40. Let l(a) = -2*a - 8. Give l(h). -20 Let f(d) = 9*d**2 - 3*d - 1. Let l(t) = -t**3 - 13*t**2 - 12*t - 2. Let w be l(-12). Calculate f(w). 41 Let a(w) = -w**3 + 6*w**2 - 2*w + 3. Let d(p) = -p**2 + p - 1. Let t(o) = a(o) + 2*d(o). Suppose -4*g - u + 13 = 0, 4*u + 10 = g - 6. Calculate t(g). 1 Let w(h) = 13*h**3 + h**2 + 5*h + 20. Let m(z) = 28*z**3 + 2*z**2 + 11*z + 40. Let s(o) = 6*m(o) - 13*w(o). Let c be (-2)/(-4)*(-1 - -1). Determine s(c). -20 Let y = 553 + -551. Let f(n) be the third derivative of 2/3*n**3 + 0 + 0*n + 1/15*n**5 - 1/120*n**6 + n**y - 1/12*n**4. Give f(4). -4 Let l(z) = -z + 1. Let p(j) = 13*j**2 - 6*j**2 + 4*j**2 + j**3 - 4 + 10. Let s be p(-11). Let b(x) = -x + 1. Let c(k) = s*b(k) - 5*l(k). Determine c(-6). 7 Suppose -6*n + 5312 = 290. Let w(s) = -835*s + n*s + 2 - 2. Give w(3). 6 Let x be 12/30 - (-39)/15. Let r(v) = 1 - x - 28*v + 30*v. Let s = -2 - -5. Give r(s). 4 Let u(d) = -16*d - 1. Let z(o) = -14*o - 3. Let h(j) = 5*u(j) - 6*z(j). What is h(-6)? -11 Let x(c) = c**2 + 2*c - 2. Let f(d) = 4*d - 2 - 4*d - 2 - d**2. Let z be f(3). Let r = -16 - z. Determine x(r). 1 Let t(x) be the third derivative of -7/3*x**3 - 1/24*x**4 + 0*x + 0 + x**2. Determine t(-7). -7 Let c(k) be the first derivative of 16*k**2 - 3*k + 83. Calculate c(1). 29 Let j(b) = b**2 + 8*b + 2. Suppose -5*v + 5 = 2*q - 0, 0 = -3*q - 15. Let p(o) = 3*o**2 - v*o**2 - 2*o**2 - 4 - 2*o + o**2. Let g be p(-3). Give j(g). -5 Let w(p) = -7*p**3 + 4*p**2 + 11*p + 10. Let r(c) = -19*c**3 + 13*c**2 + 32*c + 28. Let t(m) = 4*r(m) - 11*w(m). Determine t(-7). 2 Let b(u) = 5*u + 11. Let k = 939 + -944. Determine b(k). -14 Suppose 33*o - 14*o - 38 = 0. Let s(z) = 2*z**2. Calculate s(o). 8 Suppose -3*f - 13 + 61 = -4*j, j - 43 = -2*f. Let c(z) = z**3 - 21*z**2 + 20*z + 3. Calculate c(f). 3 Let i(y) = y**3 + 16*y**2 + 15*y + 16. Suppose -30 = 3*g + 5*x, 0 = -2*g - 0*x - 2*x - 24. Give i(g). 16 Let i(o) = -7*o + 4. Suppose -27*s + 63 = 9. Determine i(s). -10 Let m = 126 - 121. Suppose -m*b - 5 = -2*y, y + b + 3 = 9. Let q(h) = -h**3 + 4*h**2 + 7*h - 7. Give q(y). 3 Let d = -25 - -16. Let f be 2/9 - 25/d. Suppose 3*m - 20 = -n, 2*n + 3 = f*m - 2. Let r(h) = -h - 1. Determine r(m). -6 Let s(l) = l**3 - 10*l**2 - l. Let w be s(10). Let h = 22 + w. Let p = 16 - h. Let i(n) = n - 4. What is i(p)? 0 Let r = 254 - 250. Let d(t) = t**3 - t**2 - t. Determine d(r). 44 Let f(n) = 2*n**2 + 6*n - 5. Let s be f(-5). Let z = s + -11. Let u(m) be the first derivative of m**2/2 + 31. Give u(z). 4 Let m be (-7)/2*((-48)/1)/1. Let n = 172 - m. Let c(r) = r**3 - 2*r**2 - 4*r + 6. What is c(n)? 22 Let a(q) = 118 + 7*q + 0*q**2 + q**2 - 112 - 3*q + 6*q. Calculate a(-9). -3 Let t(k) = 27*k**2 + 1. Let s be ((-21)/42)/((-2)/4). What is t(s)? 28 Let z(m) = m**3 - 9*m**2 + 11*m + 5. Let v(j) = j**3 - 2*j**3 + 4*j**2 - 70 + 3*j + 66. Let a be v(4). What is z(a)? 29 Let q(z) = z**3 - z + 8. Let w(v) = v + 3. Let r be (-64)/(-7) + 1/(-7). Suppose a = 4*a + r. Let s be w(a). Calculate q(s). 8 Let p(k) = -3*k**3 - 2*k**2 + k. Let q be 480/(-18)*54/(-15). Let f = 94 - q. Calculate p(f). 14 Suppose -4*x = 4*c + 20, -c = -4*x + 8*x + 20. Let t(o) = -o**3 - o**2 - 7. Give t(c). -7 Let m(n) = 9*n + 7*n + 7*n - 27*n - 16. Calculate m(-5). 4 Let z be (-3)/(-3) + (-3)/(-1). Let s(x) = 345 + x + 3*x + 4*x**2 - 343 - x**3 - 3*x. What is s(z)? 6 Let k = -6 + 14. Let n(b) = b - 6. Let h be n(k). Let x(q) = -1 - 9*q**3 - 7*q**2 - 2*q - h - 6*q + 10*q**3. Give x(8). -3 Let m(y) = -2 - 3*y + 6 + 0. Let c(l) = 7*l - 8. Let u(q) = -4*c(q) - 9*m(q). Let f = -14 + 10. Give u(f). 0 Let j(w) = -w**2 + 5*w + 2. Let g(b) be the first derivative of 4*b**3/3 - 10*b**2 - 7*b - 2. Let l(h) = 2*g(h) + 9*j(h). Determine l(6). -2 Let x(m) = -7*m**3 + 17*m**2 - 2*m - 7. Let n(d) = -12*d**3 + 34*d**2 - 3*d - 14. Let o(i) = 3*n(i) - 5*x(i). Calculate o(17). 10 Let v = 50 + -45. Let n(u) = -5*u**3 - 12*u**2 + 9*u + 5. Let d(m) = -m**3 - m**2 + m + 1. Let g(c) = 6*d(c) - n(c). Determine g(v). 11 Let z(p) = -5*p**3 + 13*p**2 - 19*p - 13. Let g(a) = -2*a**3 + 6*a**2 - 9*a - 6. Let f(t) = 7*g(t) - 3*z(t). Let s = 9 - 15. Let u = 2 + s. What is f(u)? 5 Let p(h) = -h + 9. Suppose -4*y - 2*j = -6 + 46, -4*y - 44 = 3*j. Calculate p(y). 17 Let t(w) be the first derivative of 1/4*w**4 + 3*w**2 - 9 + 7/3*w**3 + 9*w. Calculate t(-6). 9 Let g = 198 + -196. Let l(y) = -y - 1. Let i be l(-4). Let k(a) = a**2 + 3*a - 5. Let d(c) = -2*c**2 - 3*c + 6. Let b(m) = g*d(m) + i*k(m). Calculate b(2). -1 Let v(n) = -2 + 2*n - n + 0. Let l be 35/(-980) + (-2)/8 - (-2)/7. Calculate v(l). -2 Let b(v) = v**2 - 5*v - 1. Let o(t) = -t**2 + 4*t - 3. Let z(h) = 3*b(h) + 4*o(h). Calculate z(0). -15 Let w(v) be the first derivative of -v**2/2 + 8*v + 23. Let i(a) = 7. Let t(o) = -3*i(o) + 2*w(o). Calculate t(6). -17 Let t(k) = -14*k + 5. Let x(q) = -q**2 - 37*q - 184. Let c be x(-31). What is t(c)? -23 Let k(s) be the third derivative of s**4/3 - s**3/6 - 23*s**2 - s. Determine k(-3). -25 Let u be ((-17)/(-2))/((-1)/30). Let v be ((-2)/(-6))/(17/u). Let p(g) = -g + 5. What is p(v)? 10 Let x(j) = -j**3 + 7*j**2 - 6*j - 5. Suppose 3*s - 31 - 13 = -d, -5*d - 46 = -4*s. Let u = 20 - s. Determine x(u). -5 Let f(a) = a**2 - 15*a + 28. Let g be f(13). Let n(q) = g + 7*q**2 + 3*q**3 - 15*q**2 + q + 4*q**2 - 4*q**3. Determine n(-4). -2 Suppose -2*p - 5*h + 8 = 0, -p - 2 = 2*h - 7. Suppose 3*b - 4*l = 12, 4*b + p = -0*l - 3*l. Suppose b = -4*i - 10 - 2. Let a(n) = n**2 + 2*n + 3. What is a(i)? 6 Let l(n) = 5*n**2 - 6*n - 10. Let a(u) = 2*u**2 - 3*u - 5. Let t(b) = 7*a(b) - 3*l(b). Calculate t(-5). -15 Suppose 2*s + 11 = s - 3*r, -3*r = -s + 1. Let j(q) = q + 4. Calculate j(s). -1 Let z(a) = 25*a - 547. Let n(i) = -12*i + 243. Let s(o) = 9*n(o) + 4*z(o). Suppose -2*t = -2*r - 6, 0 = 3*r - 4*t - 2 + 15. Give s(r). -9 Let v(c) be the first derivative of c**3/3 - 2*c - 105. Determine v(-3). 7 Let h(c) = c**2 - 4*c + 2. Let n(i) = i**3 - 4*i**2 - 6*i - 4. Let r be n(5). Let f be 4/(-3)*r/2. Let l be f + (-1 - (3 + -3)). What is h(l)? 7 Let a(k) = 48*k - 103*k + 3 + 54*k - k**2. Suppose 4*t + 15 = -3*u, -3*t - 2*u = 2*t + 17. Give a(t). -3 Let w(p) = -p + 3. Let q be ((-3)/3*2)/(0 + 2). Let g be w(q). Let f(h) = 4*h - 2. Give f(g). 14 Let r(y) = 1 + 6 - 6 + 4*y. Let d = 38 + -41. Give r(d). -11 Suppose -3 = -5*p + 7. Let n(t) = -2*t - t**2 + t + t**3 - 1 - t + 0*t**p. Let u(l) = l**3 + 9*l**2 + 8*l + 3. Let w be u(-8). Determine n(w). 11 Let k(l) = -l - 23. Let f(r) = 2*r**2 + 28*r + 82. Let b be f(-6). Determine k(b). -9 Let w(q) = 3*q + 3. Let m(v) = 4 - v**3 - 8*v**2 - 6 - 7*v + v**2 - 6. Let i be 5/((-15)/9)
{ "pile_set_name": "DM Mathematics" }
13 + 2)*-226? 3/11 What is 7983962/244407*(-10 + 0)*(76/(-35) - -2)? 56 What is the value of (96 - 95)/(413/(-7) - -4)? -1/55 (364/(-3016))/((-231)/66) 1/29 What is the value of (2093/(-42) - (-1115)/1338) + -13? -62 What is the value of (16418/(-144) - 6) + 478/34416? -120 (23 + -7)/(-16) - -55 - 0 54 What is ((-70)/(-135))/(-7) + -12 + (-71008)/756? -106 (4 + 69/(-18))/((-265)/(-63600)) 40 Calculate (-3)/39 - (97650/455)/5. -43 Evaluate 10/(-125) - ((-171732)/1650 - -95). 9 What is the value of 8/(-6) - (-13205)/2085? 5 Evaluate (132/(-10))/((-54998)/(-2247)*(-14)/(-20) - 17). -99 Calculate (-1 - -1 - -6)*((-30)/(-15))/(414/345). 10 -42*418/1824 - ((-134)/14 - 30/70) 3/8 What is (-2847)/(-78) - (4/(-3) - 242/(-132))? 36 112/(-196) + (-156)/21 -8 What is the value of ((-89792)/185196)/(4/(-6))? 8/11 What is (-258)/34 - 1 - (-15 - -7)/(-2)*-2? -10/17 What is ((36/33)/(-29 - 4438/(-154)))/((-6)/2)? 2 What is the value of 0/(-54) - (11 + 28)? -39 Calculate (-56)/10*(78975/1782)/(-195). 14/11 What is -37 + 46 + (-59)/7 - 102/(-42) - -43? 46 Calculate (-18)/354 - (-5649809)/(-645755). -44/5 What is the value of (-97 - 13230/343) + (-3)/7? -136 What is the value of 6/10 + (-115934)/(-91260)*-54? -68 Evaluate ((-12216)/(-4782564))/((-2)/(-9)). 1/87 Evaluate (-2556)/639*4/64*-62*2. 31 ((32/120)/4)/(2/(-334)) - (-2814)/9380 -65/6 What is the value of 189/243 - (-497)/(-882)? 3/14 What is (3280/(-220) - -15) + (-3150)/165? -19 Calculate (0 + (-1)/(-24))*87/(-58)*(-18)/6. 3/16 ((96330/(-455))/(-39))/(2/14) 38 Evaluate -375*(-138)/(-7245)*1. -50/7 ((-114)/133)/((-528)/770) 5/4 ((-1768)/(-34) - 60 - (2 - 19)) + 84 93 184*10/(-80) - -47 - 46 -22 Evaluate (-906)/82 - (4 + (-10790)/2665). -11 What is (-26928)/(-6120) + 2 + (-62)/10? 1/5 15/(-175)*(-660520)/8088 7 Evaluate 315/(-6372) + (-12)/885*(-535)/(-214). -1/12 What is 21 + 255/(-630)*-7*6? 38 Calculate (-1 - (-6150)/(-100)) + 52. -21/2 (8064/4368)/((-17)/(442/44)) -12/11 What is 2/169 - 21365704/(-138749)? 154 (673890/25672)/((-6)/(-16) - 0) + -14 56 What is the value of (4 - 186/42)*(-136)/(-48)*(-504)/(-816)? -3/4 Calculate ((-620)/(-16) + -2 - -2) + 26/(100 + 4). 39 What is the value of ((76 - 91) + 66)*28/34? 42 What is 9 - (42/3 - 806*33/5577)? -3/13 Evaluate 3211/(-845) - 10/30*-12. 1/5 Evaluate ((-24)/180)/((10 - 405/40)*(-48)/20). -4/9 Calculate (186618/(-22918))/((-3)/14). 38 Evaluate ((-16)/(2560/600) + 3/4)/((-2)/42). 63 What is (9 - -27) + 39 + 85*(-2)/(-10)? 92 (1 + 0)*(-26367 + 26288) -79 (-18512)/325 - 241/6025 -57 Calculate 126/(-245)*(8725/(-225) + 39). -4/35 What is (408/1320)/((-266)/(-7315))? 17/2 What is the value of -4 - ((-4264)/(-91) + 16/14 - (-9 - -19))? -42 What is (0*(-5)/(-235))/(-9)? 0 What is (-27)/(-18) - 2135/366? -13/3 Calculate ((-1821)/1214)/((-6)/(-4)). -1 What is the value of ((-104)/30)/((-6)/27)*((-51680)/57)/136? -104 561/(-135) + (-2700)/(-750) -5/9 Evaluate 143/5 - 90/((-3690)/(-1189)). -2/5 What is (-25)/50*(-11 + 17) - 32/1? -35 Calculate (-9177)/(-874)*(-4 - (10/15 - 4)). -7 Calculate (-197877)/(-22296) + ((-1)/(-1))/8. 9 What is the value of 1/(-4) + (49020/80)/19? 32 Calculate (-2758)/(-6720) + 0 + 150/(-2175) + (-48)/145. 1/96 What is the value of 2916807/997605 + 40/(-14)? 1/15 5/((-630036)/5883 + 107) -53 Calculate (1 + (-8)/(-12))*364/182*(-2)/150. -2/45 Evaluate ((-10)/130)/((-1)/(-505)) + (-25194)/(-1014) + -25. -39 (-225395)/(-146322) - 14/((-196)/(-21)) 4/99 Calculate 0 + (-13052)/(-871) + (-15 - (-23 - -23)). -1/67 Calculate ((-6)/10)/((-995)/(-398) + (-199)/70). 7/4 Calculate -1*(-9)/21 + ((-600)/(-270) - (-3484)/(-126)). -25 What is (-44)/2 + (-2 - (-435596)/18142)? 2/193 Evaluate 6224/(-720) + 24/120 - -6. -22/9 Calculate ((-32)/832)/(88/(-59488)). 26 Evaluate ((1/(-15))/1)/((-231)/(-3168)*-16). 2/35 Evaluate 6*(-11)/(-1485)*(5 - 8)*33. -22/5 551/12 - (-373)/4476 46 What is (8/156)/((-4296)/(-6981))? 1/12 What is the value of 4/((-225)/27 - -5) - (-18 - -14)? 14/5 Evaluate -2 + 2 - (62 - 69)/((-21)/(-267)). 89 What is (6210/12)/(9885/1318)? 69 32/(-2)*984/31488 -1/2 Evaluate (5 + (-35)/(-56))*736/(-138). -30 What is 546/(-208)*(-70)/735? 1/4 (-978340)/(-146751)*(-297)/(-6)*1/6*2 110 Evaluate 590364/813510 - (-3)/393. 11/15 What is the value of ((-222)/24 + 9)*310/(-217)? 5/14 What is the value of ((-9)/(-246))/((94/10 - 4)*980/2352)? 2/123 Evaluate 2/2 + 57 + (-116)/(-71 + 100). 54 What is 5*(140/(-25) + -4)/(13 - 11)? -24 What is (-330792)/20764 + 0 + 8/(-116) + 101? 85 Evaluate (120/(-624)*13)/(255/(-84)). 14/17 Evaluate 1384/(-5720) + (-104)/3380. -3/11 ((-8 + 17)/18)/(71/(-7668)) -54 What is the value of (2178/12)/((-30)/435 + (-364)/(-232))? 121 What is 16 + -22 - -28 - (-42)/(-4)? 23/2 (60060/(-117))/154*(2 + (-364)/170) 8/17 Calculate 16/28*14/6*((-442338)/(-424))/(-107). -13 (59527/7230 + 129/18 + -7)*(-10)/(-1) 84 Calculate (-118)/(-10) + 1572250/(-154375). 21/13 Evaluate (-113)/(-3) + (-47572)/(-20388). 40 Calculate (3894/220 - 18)*-1*(-2655)/(-54). 59/4 (12/(-9) + -3)*(-13012 - -13003) 39 Evaluate (-808353)/27846 - 2/(-68). -29 What is 4/15 + 33/(114840/(-1363))? -1/8 Evaluate 15 + 2970/(-1925)*10. -3/7 Calculate (3*8/(-11376)*-9)/((-8)/(192/(-12))). 3/79 Calculate (2*19)/(198/(-4653)*-47). 19 What is the value of 30*(-3)/42 - (-8 + (-4290)/91)? 53 Evaluate 112 - -1*1*((-14)/6)/((-14)/18). 115 What is 0/2717 + (-1)/(-18)*76? 38/9 Evaluate (-1 - (2/(-12)*2)/((-1176)/(-3822)))*-10. -5/6 Evaluate 49345/(-7645) + 8 + 0 + -3 + 1. -5/11 What is 1 + ((-6)/45 - 2842/2610)? -2/9 (63/(-585))/((-13671)/930) 2/273 What is 234/92 - (-288)/(-6624)? 5/2 What is the value of 754/36 + (-189)/504*56? -1/18 What is the value of 6/22 + (4 + (-7580)/1892)/((-72)/(-4152))? -4/43 What is the value of -17 + (-127 - 540/(-30))? -126 (2 - 3)/(-138 + -186 + 325) -1 Calculate 3401/895*832/608. 26/5 Evaluate (16/(-10))/(55/150*(-24 + 12 + 15)). -16/11 What is the value of -94 + 105 + (-9)/(81/126)? -3 What is 1*(-20)/(-22) + (7190/25)/(814242/(-2535))? 1/73 Calculate ((-5)/(-4) + 13847/(-10492))/((-3)/(-2)). -2/43 What is (51 - 241) + 190 - (-3)/7? 3/7 What is the value of (1856/(-256) - -7)/(40/(-15) + 3)? -3/4 Calculate (((-4446)/12)/(-39))/19*8/(-138)*3. -2/23 Evaluate -88 + (-250)/400*-64. -48 Calculate 280/(-336)*2/15. -1/9 What is (-1276)/29 + 0 - 4/(2 + 2)? -45 (4/86)/(14326/(-22792666)) -74 What is (-13)/(26/(-8))*(9464/(-1184) + 8)? 1/37 What is -31 + (-1400)/105 + 44? -1/3 Evaluate (7 - (3 + -3)) + -410 + 373. -30 What is 14/(-12)*484210/41335? -41/3 What is the value of -23 + (-11168)/(-704) + (-2 - (-10 - -1))? -3/22 What is 123213/5829 + (-22 - -2) - (1 - 0)? 4/29 (54/18 + -2)*-19 + 8 -11 Calculate (-11112)/(-4167)*(-3)/(-8)*49. 49 (-1420)/6035 - (-1287)/51 25 What is -5*(-15)/100*(-448)/21? -16 What is the value of (-10 + 23)/663*(51/26 - (-42)/(-28))? 2/221 Calculate 22/2046*31*72/198. 4/33 What is the value of ((-10208)/79344)/((-1)/(-19))? -22/9 (94284/(-6723) - (4 + -18*1))*1 -2/83 89 - (-3128)/(-24) - (-5)/(-3) -43 ((-42)/(-19) + -3)/(-2093 - -2098) -3/19 15510/1200 - 266/(-304) 69/5 What is the value of 83 + -32 - (-6 + 58)? -1 367400/7201875 + (-2)/(-69) 2/25 Evaluate ((-79)/(16037/522))/(72/1680). -60 897/84 + (-93)/(-124) + 2 + 1*-14 -4/7 ((-29900)/(-350) - 76)/((-9)/42) -44 -32 + (174336/(-168))/(-32) - 146/350 2/175 (13/((-429)/11))/(7/4263*7) -29 Evaluate (7 - 5)/(-2*(-12)/(-48)). -4 Calculate (-4)/13*(-46)/4 - (-18008 - -18012). -6/13 What is the value of 2/(-28) + 69/(-28)*6140/(-108678)? 4/59 What is -2005 - -1922 - 47/1? -130 Evaluate (33/(-264))/(170/104720). -77 What is the value of (-2 - (2 - -2))*15*(-3)/90? 3 What is (-387)/(-99)*(-602)/(-12943)? 2/11 1*-35 - (5/(5/8) - (370 + -362)) -35 Calculate ((-5)/(-30))/(-43*(-10)/14190). 11/2 What is the value of 104/(-8) + 5688/2160*5? 1/6 What is -19 - (4 + 4081/(-77))? 30 What is ((-536638)/28112 - (-2)/(-7))*(-1 + (-6)/(-10))? 31/4 What is (-197 + 120658/610)/((-204)/(-5))? 1/51 Evaluate (-49)/9*30/(-690) - 3/54*4. 1/69 Evaluate (486/(-378))/(8/(-861)) - 10*33/880. 138 What is the value of ((-3864)/(-7084))/((-78)/(-11))? 1/13 Calculate (30/(-8))/((-285)/456) - 23. -17 Evaluate (-6225)/525*7 - -149. 66 What is the value of (28/(-24)*(-84)/(-196))/34? -1/68 Calculate (-1305)/52
{ "pile_set_name": "DM Mathematics" }
*9/(-270))) 12 (-112)/(-12)*(-26)/78*((-1872)/91)/8 8 What is the value of 6/21*(686*1/(-3))/(928/(-696))? 49 2/403*((-168064)/384)/101 -2/93 What is the value of ((-1368)/40)/((-58)/29*(-6)/40)? -114 Calculate 69/(21*20/56*(-1)/5). -46 Calculate 16*(-9)/30*12/3120*13. -6/25 What is the value of ((192/(-160))/(18/20))/(1/36)? -48 What is (-448)/6*((-74736)/8304)/((-21)/(-2))? 64 What is ((-16)/(-24))/(((416300/(-1680))/181)/((-10)/16))? 7/23 Calculate (2/156)/(((-629)/51)/37). -1/26 Calculate (((-6)/60)/(-1))/((-931)/(-490)). 1/19 What is ((-104)/26)/(6/(-360)*6)? 40 1503/8684*((-84)/54)/14 -1/52 Evaluate 546/35*(-440)/88*2/(-6). 26 Calculate (56/(-154))/((-2120)/220). 2/53 72/42*(28*-1)/(-2)*410/164 60 (2240/(-720))/(18/1620*-4) 70 What is the value of (-3)/(-1)*1645/(-105)*-4*(-5)/(-20)? 47 Evaluate 321*29/(-3480)*40. -107 Calculate (12*(-2)/1764)/((-3)/(-3)). -2/147 What is (-3)/(-21)*-9*(-8)/3*(-33)/(-132)? 6/7 (-16245)/2052*1488/(-155) 76 What is the value of ((-178002)/(-99))/31*2/20? 29/5 What is the value of (((-28)/420*9)/(5/(-25)))/((-6)/(-128))? 64 What is ((-5)/115)/((-8)/23)? 1/8 Calculate (12/(-8400)*-84)/((8/(-10))/4). -3/5 What is the value of 106/(-84)*4*(-129990)/12380? 53 Calculate 21/462*(-1)/2. -1/44 Calculate ((-20)/78)/(((-20)/(-32))/((-35)/140)). 4/39 What is the value of (230/23)/110*3/12*0? 0 What is ((12/14)/(1784/(-7805)))/((-5)/300*3)? 75 Calculate -6*16/(-6)*(32/(-832))/(6/18). -24/13 Evaluate (7*27/630)/(407/37*(-2)/(-10)). 3/22 What is ((-1)/(-3))/(10/56*(-32436)/(-7155))? 7/17 Calculate (160975/45073)/(1/(-14)). -50 Calculate (10*17/(-255))/(1/(-57)). 38 Calculate (32/8)/((-7)/(-6)*112/1274). 39 What is 3*-1*(-41)/(22755/(-148))? -4/5 Evaluate ((((-19642)/6)/(-23))/7)/((-1)/3). -61 What is the value of (7275/30)/97*(2/(-10))/1? -1/2 What is the value of (61/5856*-160)/(5/(-51))? 17 What is (-1)/(-3)*4/(-2)*(-5160)/(-86)? -40 ((-1232)/(-4424))/22*79 1 Evaluate 56*59/(-626934)*66. -8/23 Calculate (-30)/(-378)*27504/(-221560). -2/203 What is (-98)/6*(-2322)/387*3/((-24)/(-4))? 49 Calculate ((-16767)/(-46))/(-81)*1*12. -54 (2/(-10))/((-40)/3360*-56) -3/10 What is 288/112*(8113/(-38))/61? -9 What is the value of (-13)/((-325)/10)*(-140)/(-448)? 1/8 What is (-550)/(-55)*(-306)/(-68)? 45 Evaluate ((-1380)/(-48)*4/(-2)*1)/(30/(-6)). 23/2 What is the value of ((-7)/4*(-1272)/8904)/((-4)/(320/6))? -10/3 Calculate (-369)/(-74169)*-134*2/(208/30). -5/26 Evaluate ((-945)/(-1085))/(444/10323). 81/4 Calculate (-945)/(-189)*1/5*(-10)/128*-4. 5/16 ((102/(-25925))/(3/(-5)))/(124/(-620)) -2/61 Calculate (-66)/11*(136/(-221))/8. 6/13 What is ((-4)/(-3*(-20)/(-6)))/((-13797)/(-315))? 2/219 Calculate 39/198*19/((-10621)/86). -1/33 Evaluate (-180)/246*(-61910)/(-453). -100 What is -3*(-2)/(-12)*22518/(-2919)? 27/7 Evaluate (-12)/((-240)/(-720)*(-18)/4). 8 What is (-1860)/(-248)*22/(-10)? -33/2 Calculate (298/(-2980))/(5/(-3000)). 60 (((-363)/11)/11)/((530/1325)/((-64)/(-5))) -96 Calculate 4/(-30)*-175*2/1*(-75)/50. -70 What is the value of (95/(-684)*9)/((-15)/(-480))? -40 ((-52)/70)/(((-8)/((-48)/(-6)))/((-126)/(-36))) 13/5 Evaluate ((-2057)/(-847))/(-2*4/14). -17/4 Evaluate (-13020)/(-56)*(-116)/(-290). 93 Evaluate (426/4)/((-957)/696*168/154). -71 (-10875)/375*20/(-70) 58/7 (-146082)/97388*(15*2)/((-9)/(-2)) -10 (((-1356)/565)/(27/75))/(4/(-6)*1) 10 Calculate (1710/99180)/(3/36*3). 2/29 What is ((-2301)/(-29146))/(30/95)? 1/4 What is (124394/(-222))/(1845/(-135))? 41 ((-9880)/(-8840))/((-3)/51) -19 Evaluate (24*(-11)/(-44))/((3402/12)/63). 4/3 ((-44)/((-1056)/252))/((-14)/(-6))*28/27 14/3 Calculate ((-180)/9)/(-160)*216*3. 81 What is ((9/15)/((-6)/15))/(-54*88/(-576))? -2/11 Calculate (-58)/(-2)*12*(-25)/(-300). 29 Calculate (-8)/234*6066/(-4044). 2/39 (3/((-19)/(1064/42)))/(13/(-13)) 4 ((-25)/(-20))/((-50806)/10696) -5/19 -2*(((-6675)/(-24))/(-5))/((-2730)/2184) -89 What is the value of ((-12)/99*18*(-8)/12)/((-8)/(-44))? 8 (-3*(1/2)/((-1)/(-2)))/(22533/202797) -27 What is the value of ((-1776)/3552)/(1/90)? -45 Evaluate (((-287955)/(-79))/81)/((-10)/18). -81 Calculate ((-1320)/(3200/80))/1. -33 What is the value of 5/(3770/156)*3*3/27? 2/29 Evaluate (((-8)/(-248))/((-1)/(-5)))/(27/(972/(-45))). -4/31 Evaluate 99/(-27)*3*1/2. -11/2 Calculate ((-3)/(-2))/((205/2)/(-41))*(-355)/(-568). -3/8 What is the value of (-2530)/(-276)*-10*22/(-550)? 11/3 Calculate ((-12)/(-133)*21)/((-176)/(-5016)). 54 (1/2)/(47/(20915/623)) 5/14 Calculate (-803943)/21876*(-4)/7. 21 Calculate ((-21)/5)/(28/4200*90). -7 What is the value of (((-2)/(-12)*-3)/((-26)/(-39)))/(2/(-88))? 33 Evaluate (-1881)/(-627)*(-14)/(-2). 21 Evaluate (-24)/(-9)*(-5292)/3136*(-4)/(-801). -2/89 What is (((-140)/(-240))/((-189)/(-405)))/((-3)/36)? -15 Evaluate 3*-1*(7236/(-594))/(72/(-66))*2. -67 Evaluate -33*(-10)/(-180)*(-135)/(-11)*(-161)/1932. 15/8 What is the value of 72/1376*(-111)/((-999)/(-12))? -3/43 Evaluate (-1)/((-15)/6)*(((-22680)/32)/21)/(-6). 9/4 What is 646560/37716*14/40? 6 What is 18/(-1)*(-57*(-12)/456)/(-3)? 9 Calculate 28728/122094*2/(2/(-5)*-2). 10/17 What is the value of ((-26)/780*25)/(((-3)/(-36))/(33/9460))? -3/86 Evaluate 6/35*(63/(-720))/(7*(-6)/(-105)). -3/80 64/(-6)*((-165)/528)/(95/(-456)) -16 (6/15)/(171/(-988)*-13*88/30) 2/33 Calculate ((-26)/(9152/1504))/((-12)/(-132)). -47 ((-3079440)/(-416))/(-423)*2/(-140) 1/4 (-6)/(-2)*(-130)/(-468)*42 35 (-14102)/5128*(-4)/(-550) -1/50 What is 2/(-82)*8396/8396? -1/41 Calculate (-2)/(2/(-10)*(20580/(-21))/(-49)). 1/2 What is ((-8)/(-464))/((897/52)/(-69))? -2/29 Calculate (10/(-4))/(22/(-24)*(-679)/(-16005)*-15). -30/7 Calculate (-12*(-12)/(-216))/((-6)/(-15)). -5/3 Evaluate (116/68)/((-590)/(-10030)). 29 What is the value of ((-790)/316*3/(-21))/(10/7)? 1/4 Calculate (2514/(-5447))/(6/(-52)). 4 What is the value of ((-20)/182)/((-219)/(93951/(-132)))? -5/14 What is the value of ((-722)/(-5776))/(30/(-96)*-2)? 1/5 What is the value of ((-8)/(-2)*87/(-348))/((-3)/(24/(-344)))? -1/43 Calculate ((-36)/8)/((-54)/3276*7). 39 Calculate -1*(-462)/((-168)/8)*-1. 22 Calculate (-3905)/2840*16/836. -1/38 192/35616*(-5)/(50/(-70)) 2/53 What is the value of (10/12)/1*(-900984)/10726? -70 Evaluate (11172/(-56))/(-21)*2. 19 Evaluate ((-117)/(234/40))/(-530). 2/53 ((-70)/(-8))/(255/(-1224)) -42 28/((6/132*-3)/(-3)*8) 77 (((-2974)/(-53532))/((-2)/24))/(((-2)/(-2))/(-18)) 12 Calculate (-7)/(-14)*((-8)/16)/((-3)/(24/(-4))). -1/2 What is the value of ((-12)/(-39)*16/(-6))/(1080/1620)? -16/13 Evaluate -1*(((-132)/594)/(-2))/(3/(-351)). 13 What is 10/(-2)*(-126)/1344*160? 75 Evaluate ((-33)/(1122/85))/(-5)*(-9)/((-9)/(-46)). -23 (214408/(-134005))/(2/20*(-1)/1) 16 Calculate ((-18104)/(-3796))/(22/(-143)*1). -31 Calculate -1*((-8)/(-6))/((-578)/(-867))*22/(-4). 11 What is the value of ((-1875)/1680)/25*(1440/150)/(-8)? 3/56 Calculate (39/182)/((-18)/189)*(-140)/(-504). -5/8 Calculate 0*((-1469)/(-520))/113. 0 What is the value of ((-49)/6762)/(-1*10/(-30))? -1/46 What is the value of (-76800)/61440*8/245? -2/49 What is the value of (-36)/(-2)*(-14)/16*17512/13134? -21 What is the value of (-11)/1188*-36*-249? -83 What is (283374/(-18165))/(4/(-30)*3)? 39 What is the value of (-2)/4*14818/(26290/(-110))? 31 (23100/(-16632))/(5/(-90)) 25 (260/((-183040)/45584))/(14/2) -37/4 What is 3/12*15*((-45924)/(-6665))/267? 3/31 ((-5)/((-10500)/(-35)))/((1/5)/((-56)/245)) 2/105 Evaluate (57/38)/(174/7192). 62 What is (12/((-12240)/15)*4)/(1/(-2))? 2/17 Calculate (75/(-10))/((-420)/(-2856)). -51 What is (-28*3*7/(-567))/((-50)/(-75))? 14/9 Calculate 130/(-5)*818/409. -52 (15*(-1150)/875)/((-4)/14) 69 What is the value of 37/(-3)*442143/(-419469)? 13 What is ((140/(-48))/7)/(55575/(-14820))? 1/9 Calculate 21/((-695)/7645*231/(-78)). 78 Calculate 6/(-4)*-2*16/(-72)*(-1197)/252. 19/6 What is (-448010)/3155*5/(-10)? 71 Calculate ((736/(-920))/(8/35))/(5/(-15)). 21/2 What is ((-9)/(-1845)*-5)/((-80)/820)? 1/4 What is ((476/187)/(-4))/(3/((-6)/2))? 7/11 What is (-124)/(-3)*((-5091)/8485)/(4/(-15))? 93 Calculate ((-2)/16)/(((-17)/5270*-186)/((-1)/5)). 1/24 ((-196)/35*630/(-84))/(5/((-5)/(-3))) 14 What is (-5*3/18)/(((-45180)/4176)/(-251))? -58/3 Evaluate (7/(-3))/((8680/140)/(-1674)). 63 What is the value of (10218/(-22139))/(2502/78)? -2/139 Ca
{ "pile_set_name": "DM Mathematics" }
5)/(-430). 1/8 What is (-216)/(-20)*(-93)/((-1953)/(-70))? -36 (45/(-36) - 9/36)*18 -27 Calculate (192/(-3) - -55) + 80. 71 Evaluate 3053/(-65) - 1790/58175. -47 Calculate (78 - (-364)/(-4)) + (-31 - 4). -48 What is (-17)/(23205/1770) - 112/(-98)? -2/13 Calculate (4/2 - 18)/(70 - 86). 1 (16/140)/((145/203)/((-4)/120)) -2/375 What is (3*34/12*4)/((30940/357)/(-26))? -51/5 Evaluate ((-99)/36*6/33)/(5*6/(-3180)). 53 -87*157/(-13659) - (1/((-2)/24) + -2) 15 Evaluate 26*(-6 + 17/3) - (336/24 + -14). -26/3 What is 165/11 - (-11 + -3 + 21)*1? 8 What is (-78450)/1650 - (4 - 51)? -6/11 -2*(-5)/(990/(-11))*(7 - (-9 + 4)) -4/3 What is ((-169330)/4425 - -38)*(-1 + 326/(-4))? 22 Evaluate 3393/(-78) + 44 - 2. -3/2 What is the value of 22/(-594)*33 + (7 - 6) + (-475)/9? -53 Evaluate (6/(-27) + 53/198)/((-26476)/26476). -1/22 (-3)/(15/4) - 80483/(-123820) -3/20 ((-8)/(-1472)*8)/(64/(-256) - 2/24) -3/23 ((-168)/(-1036))/(198/11396) 28/3 Evaluate 438/365*(3/2)/((-132)/770). -21/2 675/90*220/75 22 What is (-3 - (14/(-5) + 4)*-3) + 24843/(-40755)? -2/209 Evaluate 5*52/(-325)*(5 + 20/2). -12 Evaluate (-64)/992 - 1401/(-93) - (0 - -63). -48 What is the value of (-17)/68*(43 + -45)? 1/2 (-4)/(-10) + (-38304)/(-3990) 10 14/(-6)*113/((-10057)/(-2136)) -56 What is the value of 2/52*((-5434)/7524 + (-42)/(-36))? 2/117 What is the value of 180/54 + (686/(-15) - -42)? -2/5 Evaluate ((-36)/2 - -50*(-112)/1400)/14. -11/7 Evaluate -49 - -127 - 56 - (-2 - -4*(-5)/(-2)). 14 What is the value of (33/(-16) - -2) + 30481/(-44336)? -3/4 Calculate 4592/12628*((-4)/8 + 4/8 - -22). 8 What is the value of (43/(11008/(-928)))/((-3)/24)? 29 Calculate 177 + -127 - (21/(-4) + 200/160). 54 What is (-32)/44*2/8 - ((-652674)/1331)/(-31)? -16 ((-100)/(-44) - 2)*(-69 + (-4592)/(-64)) 3/4 Calculate ((-873)/(-126) - 7)*(377/39 - 13). 5/21 Evaluate (-206)/(-618)*116/(-2146). -2/111 Calculate 21/9*((-180)/(-315) - (-13 + -1)). 34 1*(36/(-39))/4 - (-182514)/(-20813) -9 What is (((-308)/16 - -20) + (-151)/204)*514 - 5? 2/51 (-2206)/(-100) + -32 - 20/(-2) 3/50 What is (-308)/(-11) - ((-74)/18 + (-72)/81)? 33 Evaluate (-636)/(-1749) - 4065/110*(-4)/6. 25 Calculate (-229008)/(-5720) + (-1480)/37. 2/55 Calculate (-943)/451 + (-137)/(-1507). -2 What is 1*9 + (4023 - 4067)? -35 Evaluate ((2*3)/((-24)/64))/((-70)/(-70)). -16 What is ((-27)/(-15))/((-9564)/462260)? -87 Evaluate 1027/(-49) - (3978 + -3999). 2/49 What is the value of 44/(-66) + (-2685)/(-45)? 59 Calculate (146256/5940)/(-277)*(-1)/((-24)/9). -1/30 Calculate 570/63 + (-8540)/915. -2/7 What is the value of ((10 - ((-732)/54 + 11)) + -5)/(84/378)? 34 19*210/399 - (1 + 115/13) 2/13 What is the value of (-22)/(-18) + 0/1883? 11/9 What is the value of 8/10*(2125/(-34) - (-5 - 5))? -42 What is the value of -16 - ((-4550)/(-550) + -24)? -3/11 What is ((-237)/(-4))/(-1*((-8)/(-32) + 53/106))? -79 What is ((-438)/(-4))/(1750/(-100) + 5 + 17)? 73/3 What is the value of (21/(-56))/(41/84 - 118/708)? -7/6 8/52 - ((-1018)/(-26) + -30) -9 Evaluate ((-10)/120)/((-711)/(-948)). -1/9 (-12)/(-38) - ((-234024)/(-3192) + -64) -9 ((-2)/37 - ((-19085)/(-814) - 23))*16 -8 24 + 26 + (-40 - -73) + -92 -9 Calculate -1 + 21904/(-3848)*13/(-2). 36 Evaluate (-13)/8 + 2 + (-77 - 157675/(-2040)). 2/3 Evaluate (-27 - (-10350)/378)/(576/63 - 6). 4/33 Evaluate -115 + (464427/45)/103. -74/5 Evaluate 83 - 1 - (-615)/(-2255)*-11. 85 Calculate (((-1093125)/660)/(-265))/((-3)/(-8)*2). 25/3 Evaluate (54/135)/(34/(-15) + 2). -3/2 What is (-762)/24 + 30 + (-23)/4? -15/2 What is the value of 1/6 - ((735/(-45) - -19)/(-2))/4? 1/2 Calculate (90/(-105))/((-26)/(-364)) + (-365)/(-25). 13/5 Calculate (-1290)/(-774)*(4 - (-456)/(-105)). -4/7 What is the value of ((-72)/(-28))/((3 - 4)/(182/(-104)))? 9/2 What is the value of 6/24*-295*(152/40 + -3)? -59 What is 3/(572/1694 - (-9)/(-21))? -33 Calculate -29 + -1 + 150/10 + 33. 18 What is 15/2 + 34293/(-2982)? -4 What is (-70)/1540*902 - 31? -72 What is (-261 + 264)/(-3 + 180/64)? -16 Calculate 45/27*285/75 + -4. 7/3 What is the value of ((-549)/81 + 7)/((-84)/63)? -1/6 Calculate (-1664460)/103950 + (6 + -6 - -18 - 2). -2/165 What is ((-40 + 38)/(8/4 - -5))/((-2)/(-497))? -71 What is (15918/(-3790))/(4/(-20))? 21 What is the value of -17 - 1 - (41 + 98901/(-1683))? -4/17 What is (-696)/8265*-19*(15/(-1218))/(30/(-35))? 2/87 What is the value of 91 - (41 + (-512625)/(-10250))? -1/82 Evaluate 855/(-760) - 822/(-816). -2/17 Evaluate ((-26)/17)/((-2604)/(-44268)). -26 Calculate -1 + 30/24 - 3980/(-80). 50 Calculate (-21)/((-231)/(-484))*(-1962)/1199. 72 Evaluate ((-3104)/312 - (-300)/(-5850))*19/2. -95 What is the value of (-2)/24 + 847550/(-17688)? -48 What is the value of (-15104)/(-4130) + (210/550 - (-4)/110*-5)? 27/7 (-5760)/3360 - (0 + (-230)/175) -2/5 -79 + (135 - 63) - (-62)/1 55 Calculate 1 + 7 - (-33 - 12/(5184/(-17904))). -4/9 What is 0 - ((-109530)/2025 + 54)/(2/(-40)*-2)? 8/9 Calculate 760/(-275) - (11408/(-115))/(-62). -48/11 Calculate 2*((-23)/((-1449)/54) - (-10450)/532). 41 (-24)/(-16) + 146/(3796/(-429)) -15 What is 5 + -12 - (-8296)/1968 - (-2)/(-41)? -17/6 Evaluate 80/(-120)*(1/(27/(-18)))/(10/(-1080)). -48 What is the value of ((108/(-10))/(-3))/((-33)/(-9900)*-30)? -36 Evaluate (256/270 - (368/60 - 6))*(-9)/(-4). 11/6 Calculate 351/2340 - ((-2)/(-6) - (-31)/(-186)). -1/60 -2 - 88 - (-300564)/2783 18 What is the value of (-180)/(-54) - ((-1)/8)/(1032/(-547648))? -63 What is (6/8)/((25/((-2250)/(-12)))/((-176)/18))? -55 Evaluate ((-34)/360)/((-124)/1550) + (-93)/(-248). 14/9 Calculate (130/975 - (-102)/(-90))/((-158)/4 - 2). 2/83 Evaluate -32*(-16)/5120*(-1 - -1 - -110). 11 What is the value of (-37)/481 - 132436/(-41132)? 22/7 What is the value of (-10)/6*(29458/(-440) - -67)/(2/(-51))? 17/8 What is (-118)/(-3245) + (-851229)/(-6215)? 137 Evaluate (-129)/(-3) + 19001456/(-442241). 3/89 Calculate (576/928)/(107/(-21721)). -126 (8/(-14) + (-3082)/(-4830))*1 1/15 What is 1674/(-5859) + (32/18 + -2)/((-3871)/4830)? -2/237 Evaluate (-342072)/4752 - (-4)/(-264). -72 Evaluate 15*((9 - 44) + 40). 75 Evaluate 75/((-773175)/5096) + 18/39. -2/61 Calculate (-135225)/(-1202)*(-4)/(-15). 30 (-93 - -135) + (-330)/8 3/4 What is the value of (-2 + 0 - ((-627)/33 + 1)) + -86? -70 Evaluate 158/22 + (-576)/3168. 7 88373/(-51441) + 1/3 -18/13 What is ((-936)/260)/((-66)/(-880))? -48 What is the value of 1*((-2)/24 - (3815080/(-3360))/127)? 62/7 Calculate ((-82)/(-6) + 37 + -50)*(-1)/(-6 + 4). 1/3 What is (-66)/(-180)*8/55*2*40/32? 2/15 What is (2752/544)/43 - 435/85? -5 Evaluate 33176/208*18/297. 29/3 (-2272)/32 + 24288/345 - (-139)/215 2/43 Calculate 71 + (-10855)/(-668) + (-5)/(-20) + (-9)/(-6). 89 What is 18/27*-9 - 5/((-50)/(-320))? -38 What is (-12 + (-910)/(-75))/(-8 - (-12)/15)? -1/54 Calculate (32 - (-1479)/(-58))*36/(-13). -18 What is 16 - ((-84)/56 - ((-1150)/(-115) - 5551/202))? 2/101 Calculate ((-6)/5)/(((-12)/10)/(2490/2241)). 10/9 (-2 + 156/130)*-30 + -64 -40 (-1776)/7104*72/2 -9 Evaluate (-2)/(2/23) + 222015/9635. 2/47 (7 + -4 + 3)/(20/(-435)*(-126)/(-84)) -87 What is the value of ((-880)/64 - -16)/((-286)/208)? -18/11 Evaluate (-44)/(123/((-615)/10)). 22 What is ((-6)/24)/(-21 + (1311/24)/23 - -20)? -2/11 Evaluate (47104/51520)/((-8)/(-10)). 8/7 What is the value of (-6554926)/(-279594) - ((-6)/(-9) - (-2)/(-9))? 23 588/(-61740) + (-2)/(-14) 2/15 Evaluate (-1794)/(-115) - ((-3034)/185 - -16). 16 Calculate -46 - (-74 + 42 - 39). 25 4*(-7 - 117/(-18))*18/2862 -2/159 Calculate (-1 + 8/3)*(6/(-10) - 105/(-147)). 4/21 What is the value of (22148/904 - 4*7)*2/(-658)? 1/94 What is 320/(-400)*(4 + (-3 - -5))*105/42? -12 (-1)/((-90)/488) - (-50)/(-13725)*61 26/5 What is 1*133/(-3363)*3*(-7)/49? 1/59 17549/763 - (-306)/(-1 + -2) -79 Evaluate 16/10 + 6592/(-515) + 2*(-5 - -11). 4/5 Calculate (-135)/13 + (-52 - (36 - 79))*-1. -18/13 Calculate ((-7)/(-266))/((-753)/18 + 41). -3/95 What is (6/(-4))/(563570/51604 - (-22)/(-2))? 19 Evaluate (39*8/(-60))/((-316)/(-790)). -13 What is (2058/(-1715))/((-22)/(-5)) - 98/(-77)? 1 Calculate (6/(-5))/(((-180)/125)/(624/780)). 2/3 Calculate (6/20)/(-14 + 1829/118). 1/5 Calculate (-92)/(-293664)*17347 + (-12)/(-63). 45/8 Calculate (-15855)/11627 + 3861/2299. 6/19 What is 110 + (28810/(-344) - 27)? -3/4 ((
{ "pile_set_name": "DM Mathematics" }
-121)/6 + o)/3. 144 Suppose 0 = q - 4*q - 5*y + 5, 5*y = -2*q + 10. What is the common denominator of q and (-74)/(-22) + (-2 - 1)? 11 Let z(p) = -p**3 - 2*p**2 + 2*p + 1. Let v be z(-2). Let d be (-16)/(-4) + v - 73. What is the common denominator of ((-834)/d)/((-2)/(-4)) and 7? 6 Let q(t) = -t**2 + 9*t - 12. Suppose -3*d = -16 + 1. Let w be q(d). Let m = 15 - w. What is the lowest common multiple of 4 and m? 28 Let f = 137/86 + 811/2838. Let k = 7671/728 + 99/91. What is the common denominator of f and k? 264 Let j(b) = -47*b + 539. Let y(k) = -2*k - 2 + 0 - 4. What is the least common multiple of y(-6) and j(11)? 66 Suppose 0 = 8*p - 9*p + 14. Let z(s) = -s**3 + 3*s**2 + 4*s. Let d be z(4). Suppose p = n - d*n. Calculate the smallest common multiple of 18 and n. 126 Let n = 79 - 73. Let y = -26619/4528 + -52/283. Find the common denominator of -1 - ((-1038)/27)/(32/n) and y. 48 Suppose -105 = -3*d - 2*d. Suppose d = -6*i + 5*i. Let w = 29 + i. Calculate the least common multiple of w and 18. 72 Let u be (-14205)/195 + 5/(130/(-4)). Calculate the common denominator of ((-1)/u)/((12/(-51))/4) and 19/4. 292 Let q be (13670/(-60))/((-2)/8). Let c = q - 924. What is the common denominator of 20/21 and c? 21 Let d(r) = -r**2 + 9*r - 3. Let x be ((-2)/4*-10)/(5/6). Calculate the least common multiple of 12 and d(x). 60 Suppose 5*h - h - 32 = 0. What is the least common multiple of h and 8/((-4)/(-1)) - -2? 8 Let r be 50 + -8*3/6. Let d = -34 + r. What is the least common multiple of d and 18? 36 Suppose 0 = 18*h + 64 + 44. What is the smallest common multiple of 4/1 + 1*-2 and (4020/(-55))/h - (-6)/(-33)? 12 Suppose -5*u + 17 = -63. Calculate the lowest common multiple of u and 6/24 + 213/12. 144 Let b(k) = -2*k**3 + 44*k**2 - k + 30. What is the smallest common multiple of b(22) and (-11 + 0 + 1)*-2? 40 Let b = 807/92 - -34/23. Let p = -455/12 + 3335/84. Find the common denominator of p and b. 28 Suppose -89*z + 222 + 1024 = 0. Calculate the least common multiple of z and 52. 364 Suppose -1445 = -37*y - 224. Suppose 0 = -p + 2*r + 29, -2*p = 3*p - r - 136. Calculate the least common multiple of p and y. 297 Suppose 7*q - 12 = 3*q. Suppose -o + q*u + 22 = 0, 3*o - 3*u + 11 - 47 = 0. What is the least common multiple of 2 and o? 14 Let p = -10 - -7. Let b = p + 6. Suppose -200*i + 1497 = 149 - 1052. Calculate the least common multiple of i and b. 12 Suppose -3*b = -711 - 312. What is the smallest common multiple of b and 31? 341 Suppose 1392 = 35*g - 6*g. What is the lowest common multiple of 21 and g? 336 Let n(r) = -r - 1. Let i be n(-6). Suppose 0 = -j + i + 5. Let a = 12 + -4. Calculate the smallest common multiple of j and a. 40 Let c = 22 - 52. Find the common denominator of 13/10 and (9/(-12))/(c/530). 20 Suppose -2 = -2*p - 0. Let l = 1 + p. Suppose -14 = -5*n - 4. What is the smallest common multiple of l and n? 2 Let x = -4/915401 - -32699039161/9154010. Let s(q) = -3567*q**2. Let l be s(-1). Let r = l + x. Calculate the common denominator of r and -69/8. 40 Let p = 3 + 2. Suppose 37*m - 49 = 30*m. Calculate the least common multiple of m and p. 35 Find the common denominator of ((-83)/42 - -2)*211 + -5 and -37/18. 126 Let d(t) = 4 + 32*t - 66*t + 33*t + 4. Calculate the lowest common multiple of d(-8) and 50. 400 Let s be (-9)/(-3) + 0 + 9. Suppose -4*t + s = -u, -u = 4*u + 3*t - 32. What is the smallest common multiple of ((-4)/14)/(6/(-84)) and u? 4 Let v be (-2)/(2/(-5)) - 2. Suppose -v*l + 95 = 2*l. Calculate the lowest common multiple of l and 7*(32/7 + -4). 76 Let s be 21/14 + (-6854)/340. Let l = s + -164877/680. Let i = l - -255. Find the common denominator of i and -68/3. 24 Suppose -5*u = 4*h + 18, -u + 3*h + 8 = -2*u. What is the least common multiple of (1/(u/(-18)))/(2/2) and 3? 9 Let m = 38 - 20. Let s(u) = u**3 + 5*u**2 - 8*u + 14. Let y be s(-7). Find the common denominator of -9/14 and (m/y)/(10/(-91)). 140 Suppose -2286 = -22*w + 2950. What is the lowest common multiple of 14 and w? 238 Let u(p) = 8*p + 268. What is the smallest common multiple of -1*(-2 - -1)*20 and u(-28)? 220 Let a(c) = c**3 + 8*c**2 - 10*c - 8. Let o = -12 + 10. Let k(x) = -3*x**2 + 3. Let l be k(o). What is the lowest common multiple of a(l) and 4? 4 Calculate the common denominator of -77/36 and -2*(-7637)/1680 + -9. 360 What is the least common multiple of 57 and (37 + (-18 - -8))*(-2)/(-3)? 342 Let o = -4 + -11. Calculate the common denominator of 65/3 and (-1)/(-3) - ((-2825)/o)/(-5). 3 Let v be (10415941 - -8)/((-2)/(-59246)). Let n = 57833071321197253/187434 - v. Let j = n - -4/7209. Calculate the common denominator of j and 93/16. 208 Let n = -22803/9910 - -1/991. Let o = 11308 - 124356/11. Find the common denominator of n and o. 110 Let t = 258057750 - 645660508321/2502. Let h = t + -37/139. Let k = -18413/180 + 976/9. Find the common denominator of k and h. 180 Suppose 24*a - 2 = 70. What is the least common multiple of a and (-2)/(((-8)/18)/2)? 9 Let i = -3 + 23. Suppose 9*h - 4*h = i. Suppose 2*g = 2*c + 1 - 5, -h*c + 16 = 0. Calculate the least common multiple of 11 and g. 22 Let w = 41 + 245. Calculate the smallest common multiple of 16 and 2/18 + w/18. 16 Let u(c) = -2*c - 1. Let j be u(3). Let l = j + 11. What is the smallest common multiple of 6 and (l/12)/((-1)/(-18))? 6 Let j be 14/(-3)*(-90)/105. Suppose 0 = 6*s - j*s - 12. What is the least common multiple of s and 28? 84 Suppose -5 = s + 3*r, 0 = -2*s - 5*r - 8 - 1. Calculate the common denominator of (-8)/s - (-296)/(-12) and ((-2)/36)/(3/(-186)). 9 Let b = 42 + -20. What is the lowest common multiple of 128/12 - 22/33 and b? 110 Suppose 0 = -2*c + 4*c. Let j be (-8)/10*(-25)/10. Suppose j*y - 10 = -c*y. Calculate the least common multiple of y and 7. 35 Let f = 78 + -60. Suppose 7 = 5*o + 2*x, -o = -3*x + 3 - f. Calculate the least common multiple of o and 15. 15 Let z = 2289 - 2281. Let t(r) = r**3 - 2*r**2 + 2*r - 2. Let b be t(2). Suppose 16 + 0 = b*q. Calculate the least common multiple of q and z. 8 Let x(s) = s**2 - 3*s - 4. Let j be x(4). Suppose j*y = 4*y + 72. Calculate the common denominator of (51/14)/(y/63) and -3. 4 Suppose 4*l - 5*i = 87, 5*i + 3 = 14*l - 13*l. Calculate the lowest common multiple of 632 and l. 4424 Let w = 1/17060 + 912703/119420. Let r be ((-15)/(-6) + -2)*3867333/(-153666). Let u = r - -2/8537. Find the common denominator of u and w. 84 What is the common denominator of -25/102 and 2798/264 + (48/(-33))/8? 204 Let l = 40 + -80. Let z = 56 + l. What is the lowest common multiple of z and 20? 80 Find the common denominator of (-1 - 0)*(-7 + 1080/112) and -9/40. 280 Find the common denominator of ((-90)/21 - 4)*3/(-54) and -41/49. 441 Suppose 595*x - 189 = 586*x. What is the lowest common multiple of x and 315? 315 Let z = -976556 - -5840827/6. Let b = z - -3072. Calculate the common denominator of b and 101/4. 12 Suppose 5*c = -4*w + 73 + 17, c + w - 19 = 0. What is the lowest common multiple of (-5 + -2)*(-92)/c and 5? 230 Suppose o + 16674 = -o. Let q = -83287/10 - o. What is the common denominator of q and (1 + 0)/(11/(-42))? 110 Let t be 3 - 6 - (-13 + 2). Let n(m) = -m**3 + 12*m**2 - 7*m - 3. Let f be n(t). Suppose 5*l + f + 38 = 0. What is the common denominator of l and 53/10? 10 Suppose 0 = -4*h + 4*n - 224, 4*n = 5*h + 6*n + 252. Let q = 4435 + -26525/6. What is the common denominator of q and (27/120)/(6/h)? 60 Let z(c) = -c**2 + c + 1. Let d = -8 + 9. Let y be z(d). What is the common denominator of 10/11 and y + 11*(-12)/(-9)? 33 Find the common denominator of 4/(-24)*1*-1 and (-200)/(-6)*7/14. 6 Suppose 4 + 30 = z. Let u be (-38)/4 + 51/z. Find the common denominator of (225/165)/(3/u) and 101/20. 220 Let s(k) = -42*k - 22. Find the common denominator of s(-1) and -49/3. 3 Suppose -k + 12 = 3*k. Suppose -i = 2*n + 220, n + k*i + 14 = -96. Calculate the common denominator of 41/10 and (n/(-6) + 2)/(-1). 30 Let h = 1281 - 187027/146. Let n = h - 1017/730. Calculate the common denominator of (2*1)/((-44)/(-82)) and n. 55 Let u(i) = -8*i - 16 + 37 - 17. What is the smallest common multiple of u(0) and 10? 20 Suppose -16 = 2*o - 14. Let t(b) = -12*b + 2. What is the lowest common multiple of t(o) and 20? 140 Suppose 0*s - 10 = -2*
{ "pile_set_name": "DM Mathematics" }
13 Let s = -331 + 330. Calculate the remainder when 151 is divided by (13 + -25)*(s + -5) - -5. 74 Let i(v) be the third derivative of -v**4/24 + 20*v**3 - 16*v**2 + 2*v. What is the remainder when i(-24) is divided by 29? 28 Suppose 32960 = 689*n - 29739. Suppose 5*v - v = 0. Calculate the remainder when n is divided by (v - 2)/((-2)/23). 22 Suppose 3*b - 319 - 14 = 0. What is the remainder when 253 is divided by b? 31 Suppose -286 = -327*b + 316*b. What is the remainder when b is divided by 18? 8 Suppose -4*o = -3*o + 4*x + 62, 2*o - 2*x + 104 = 0. Calculate the remainder when 12/o - (0 - 4245/27) is divided by 16. 13 Let z(f) = -f**2 + 11*f - 3. Let c be z(10). Suppose -h + 11 = -0*q + 2*q, -2*q + c = -3*h. Calculate the remainder when 71 is divided by h/(-2)*48/(-2). 11 Let x = 248 + -249. Calculate the remainder when x - (4 - 0) - -115 is divided by 7. 5 Let z = 5476 + -5404. What is the remainder when 789 is divided by z? 69 Let d(r) = -7*r**3 - r**2 + 2*r - 1. Suppose 12*v - 3*v = -963. Let o = -82 - v. What is the remainder when d(-2) is divided by o? 22 Let u = -143 - -251. Suppose 0 = -u*f + 115*f - 119. What is the remainder when 33 is divided by f? 16 Suppose v - 4*r = 126 - 12, 0 = r + 6. Calculate the remainder when 5666 is divided by v. 86 Let x(k) = -16*k - 2*k**2 + 3*k**2 + 12 + 8*k - 3. Let o be x(4). Let u(l) = -l**3 - 6*l**2 + 4*l + 14. Calculate the remainder when u(o) is divided by 11. 2 Let k(x) = x**2 + 8*x + 4. Suppose -5*o = -198 - 372. Suppose 0 = 6*i - 9*i + o. Calculate the remainder when i is divided by k(-9). 12 Suppose 3*n + 3*w - 3 = 0, -5*n - 2*w + 22 = 5. What is the remainder when 304 is divided by 25 - (n + 14/7)? 16 Let g(k) = k**2 + 43*k - 2117. Calculate the remainder when 286 is divided by g(32). 3 Suppose -4*g - 20 = 0, 30*r - 28*r = 5*g + 173. What is the remainder when r is divided by 11? 8 Suppose -28*l + 7*l + 15*l = -17988. Calculate the remainder when l is divided by 30. 28 What is the remainder when 701 is divided by (735/(-42))/((-4)/112*2) + 2? 207 Let v(i) = i**2 - 23*i + 162. What is the remainder when 1068 is divided by v(25)? 8 Let o = 198 - 149. Let c = -22 + 124. What is the remainder when c is divided by o? 4 Let t(c) = -17*c + 9. Let f(j) = -4*j**2 + 3*j. Let m be f(2). Let o be t(m). Calculate the remainder when (-63)/(-12) + -5 - o/(-4) is divided by 24. 21 Let v(n) = -2*n + 5. Let u be v(-8). Suppose 0 = 7*j - u + 7. What is the remainder when 47/15 + (-6)/45 is divided by j? 1 Let w = 16461 + -16446. What is the remainder when 2366 is divided by w? 11 Suppose 4*o = o + 1251. Suppose 9*c - 5*c = 4*f + 104, -3*c = f - 54. What is the remainder when o is divided by c? 17 Suppose -p + 2*k + 235 = 0, -685 = -3*p + 4154*k - 4158*k. What is the remainder when p is divided by 117? 114 Suppose -5*j + 75 = 3*p - 8*j, -5*j = 5*p - 155. Calculate the remainder when 1998 is divided by p. 10 Let v(r) = -32*r + 269. Suppose -101 = -s + 77. Calculate the remainder when s is divided by v(8). 9 Let b(c) = 3*c - 2. Let w be (-23 - -1) + (-5)/5. Let u = w + 29. Calculate the remainder when 57 is divided by b(u). 9 Suppose -662 + 2769 = 7*v. Suppose 1533 = 22*p + v. Calculate the remainder when p is divided by 22. 12 Let j(c) = -c**2 + 14*c - 8. Let f = -5199 - -5398. What is the remainder when f is divided by j(7)? 35 Suppose 0 = -f - f + w + 1160, 0 = 2*w + 8. Suppose 0 = -17*y + 19*y - f. What is the remainder when y is divided by 75? 64 Let y(r) be the second derivative of -3*r**3/2 + 51*r**2/2 - 53*r. Calculate the remainder when (1 - 2) + 0 + 41 is divided by y(5). 4 Suppose 4*d + a = -1953, -512 = d - 17*a + 22*a. Let u = 494 + d. Calculate the remainder when 1*2*54/4 is divided by u. 6 Let w be (-2 - (1 - 0)) + -5 + 3. Calculate the remainder when 24 is divided by (-4)/(9 + w) - -11. 4 Suppose -90 = -4*y + 3*y + i, 5*y - 450 = 2*i. Let g = 272 - 268. What is the remainder when y is divided by 4 + 19/(-5 - (-2 - g))? 21 Let u(a) = 2530*a - 17159. What is the remainder when u(7) is divided by 353? 198 Let b(h) = 253*h + 2556. What is the remainder when b(-4) is divided by 78? 62 Suppose -145 = 22*r - 27*r. Suppose r*c + 75 = 32*c. What is the remainder when 73 is divided by c? 23 Calculate the remainder when (35/175)/((-4)/(-5380)) is divided by 5. 4 Let h be ((-9)/(-12))/((-1)/(-8)). Let v(j) = 10*j - 25. Let k(g) = 21*g - 51. Let y(t) = -6*k(t) + 13*v(t). Calculate the remainder when y(h) is divided by 3. 2 Let k be 4/(4 + 0 + -3). Let b(i) = 10 + 8*i - i**2 + k*i**2 + 5*i**2 - 5*i**2. What is the remainder when b(-4) is divided by 15? 11 Suppose -8*n = -4*n + 7*f - 290, -5*f - 162 = -2*n. What is the remainder when 683*2 + (-3 - -3) is divided by n? 74 Let t = 1725 - 6191. Calculate the remainder when (t/(-126) + (-1)/9)*6 is divided by 36. 32 Suppose -14 = 2*c - 24. Suppose 2*m - 190 = m + l, -4*m + 697 = 5*l. What is the remainder when m is divided by c? 3 Let r = 22 - 18. Suppose 0 = r*h - 4*y - 80, 2*h - 42 + 14 = 5*y. Suppose 7*l - 897 = -246. Calculate the remainder when l is divided by h. 21 Let w = -140 - -127. Let q = 49 + -34. Calculate the remainder when q is divided by 2/13 + (-37)/w. 0 Suppose y = 4*o + 123, 268*o - 265*o = y - 119. Calculate the remainder when 657 is divided by y. 15 Suppose 0 = 20*p - 22*p + 20. Suppose 4*o + 3*s - 330 = 0, 3*s + 2*s + p = 0. What is the remainder when o is divided by (4*-11)/((-12)/6)? 18 Suppose 3*i - 3402 = 4*b - 17000, -i - 6800 = -2*b. What is the remainder when b is divided by 18? 17 Suppose 0 = 41*u - 31*u. Suppose 4 = -y + 5, -3*s + 4*y + 20 = u. What is the remainder when 222 is divided by s? 6 Let h = 18770 + -18119. What is the remainder when h is divided by 79? 19 Suppose 20*n - 265 = -65. Calculate the remainder when 276 is divided by (-4)/(24/(-30)*n/18). 6 Suppose -4*x = 6*x - 10. Let j be x/(2 - (-85)/(-45)). Let a(f) = -f**3 + 12*f**2 - 8*f - 2. What is the remainder when a(j) is divided by 34? 33 Let r(z) = 144*z**2 + 2*z - 1. Suppose -2*c = -4*n + 192 - 28, -7*n - 4*c = -227. What is the remainder when r(1) is divided by n? 34 Suppose -2*t - 8 = 3*k - 104, -53 = -2*k - 5*t. Let z = k + -34. Suppose z = -61*o + 57*o + 132. What is the remainder when 97 is divided by o? 31 Let p = 435 + -311. Suppose -4*m + 2*d - p = 0, 4*m - 5*m + d = 30. Let i = 48 + m. Calculate the remainder when 77 is divided by i. 13 Suppose -11*l + 6*l = 2*y - 494, 5*y + 5*l = 1250. Suppose y - 16 = w + 3*m, 0 = 2*w - 3*m - 427. Calculate the remainder when w is divided by 37. 36 Suppose 17*v = -3*v. Suppose -2*k - 2*y + 226 = v, 4*y = 4*k - k - 304. Calculate the remainder when 753 is divided by k. 105 Let s(c) = c + 479. What is the remainder when s(-8) is divided by 27? 12 Let f = 114 + -32. Suppose 236 = 6*l - f. Let t(n) = 11*n**3 + n**2 - 1. What is the remainder when l is divided by t(1)? 9 Suppose 160*r = 166*r - 918. Let l = r - 55. Calculate the remainder when l is divided by 17. 13 Suppose -9*h = -7*h - 30. Calculate the remainder when 86 is divided by h/10 + 0 + (-132)/(-8). 14 Suppose -2*r - 3*j + 83 = 0, 49*r - j = 46*r + 163. Calculate the remainder when 163 is divided by r. 7 Let o(f) = -2*f + 142. Suppose 27 = 5*n - 83. Calculate the remainder when o(n) is divided by 20. 18 Suppose b = -w + 5 + 4, 4*b - 20 = 0. What is the remainder when 1 + 9 - 15/(-5) is divided by w*2/((-24)/(-9))? 1 Suppose 8*u + 364 = -996. Let y = u + 196. Calculate the remainder when y is divided by 17. 9 Let u(n) = -90*n - 7722. Suppose -w - 4*z + 118 = 0, -169 = -3*w + z + 146. Calculate the remainder when w is divided by u(-86). 16 Let w be ((-104)/(-16))/(2/(-4)). Let r be 0 + -76 - (-12 - w). Let z = -41 - r. What is the remainder when 68 is divided by z? 32 What is the remainder when 2705 is divided by 7 + 23 - (-38 + 13)? 10 Let m = -194 + 106. Let z = 92 + m. Suppose 0 = -b + 2, -z*b = -0*c + 5*c - 18. Calculate the remainder when 2 is divided by c. 0 Let p(q) = q**2 + 17*q + 72. Let b be p(-7). Suppose 6 = 2*i + 2*t, 2*i + 0 = b*t + 2. Calculate the remainder when 9 is divided by i. 1 Let l = 118 - 67. Suppose 0*h - 9*h + 193 + 41 = 0. Calculate the remainder when l is divided by h. 25 Let h = -160 - -162. Suppose h*a - 9 = 11. Calculate the remainde
{ "pile_set_name": "DM Mathematics" }
) + 3*i(v). Factor k(a). 3*(a + 1)*(a + 8) Let w = -3344185/11 + 304017. Solve w*m**2 - 10/11*m + 8/11 = 0 for m. 1, 4 Suppose 5*o + q + 178 - 64 = 0, 88 = -4*o - 4*q. Let l be 32 + o + 2*-3. Suppose 10/9*k**4 - 8/9 - 2/9*k**5 - 2/9*k**2 - 14/9*k**l + 16/9*k = 0. What is k? -1, 1, 2 Let i(r) be the second derivative of 12*r**2 + 4/5*r**6 + 19/2*r**4 - 1/14*r**7 - 14*r**3 + 0 + 51*r - 15/4*r**5. Factor i(q). -3*(q - 2)**3*(q - 1)**2 Let a be (4 - -1)*24/10. Suppose -7*x - 45 = -a*x. Solve -x - 25*r + 2 - 13 - 5*r**2 = 0. -4, -1 Find p such that -312*p**2 - 3 + 147*p**4 - 180*p + 1277*p**2 - 539*p**2 - 420*p**3 + 30 = 0. 3/7, 1 Let g(u) be the first derivative of 28 + 1250/9*u + 2/27*u**3 - 50/9*u**2. Factor g(f). 2*(f - 25)**2/9 Suppose -240218*y + 240094*y + 372 = 0. Suppose -1/2*d**5 - 25 + 5*d**3 - 26*d**2 - 105/2*d + y*d**4 = 0. Calculate d. -2, -1, 5 Let z(k) be the third derivative of -k**5/30 + 7*k**4 - 83*k**3/3 + 497*k**2. Factor z(i). -2*(i - 83)*(i - 1) Let i(r) be the second derivative of r**4/6 + 445*r**3/3 - 894*r**2 - 11*r + 314. Factor i(z). 2*(z - 2)*(z + 447) Let p(z) be the third derivative of 5*z**7/28 - 21*z**6/8 + 57*z**5/5 - 79*z**4/8 + 15*z**3/4 - z**2 - 27*z + 32. What is r in p(r) = 0? 1/5, 3, 5 Let t be 0/(-1*(2 + 0)). Suppose -10*l = 5*j - 9*l - 244, -j + 64 = 4*l. Find b, given that 4*b**4 - 23*b + j*b**2 + 0*b**4 + t*b**3 - 9*b - 24*b**3 = 0. 0, 2 Suppose 0 = -3*r + 3, -3*s - 77*r + 78*r = 1. Let m(z) be the second derivative of 0*z**2 + s*z**3 + 0 + 1/5*z**5 - 9*z + 0*z**4. Factor m(c). 4*c**3 Suppose 0 = -2*s + 4*i + 8, -5*i = s + 6 - 3. Find u, given that -8*u**3 - 23*u**3 - 25*u - 4*u**3 + 5*u**4 + 55*u**s = 0. 0, 1, 5 Let a(n) be the first derivative of -n**3/4 - 3*n**2/8 + 3*n/2 - 1376. Find p such that a(p) = 0. -2, 1 Let q(n) be the third derivative of -2 + 3/40*n**6 - 3/8*n**4 - 13*n**2 + 0*n - 1/4*n**5 + 2*n**3 + 1/70*n**7. What is l in q(l) = 0? -4, -1, 1 Let u(g) = 27*g**2 - 189*g - 2035. Let o(d) = 5*d**2 - d + 1. Let t(i) = 10*o(i) - 2*u(i). Suppose t(j) = 0. Calculate j. -10, 102 Let o be 13/(-1)*(7 - (-966)/(-182) - 2). Solve -27/4*a**3 - 19/4*a**2 + 0 + a**5 - a - 2*a**o = 0 for a. -1, -1/2, 0, 4 Let g(k) = 55*k**4 - 212*k**3 + 1782*k**2 - 4752*k + 4107. Let o(z) = -36*z**4 + 212*z**3 - 1782*z**2 + 4752*z - 4106. Let x(b) = 2*g(b) + 3*o(b). Factor x(f). 2*(f - 3)**2*(f - 2)*(f + 114) Let u(w) be the first derivative of 2*w**6/3 + 12*w**5 + 63*w**4 + 108*w**3 + 78. Let u(n) = 0. Calculate n. -9, -3, 0 Suppose -l - 9*l + 45 = -3*a - 7*l, 17*l - 289 = 0. Factor 2/3*g**3 + 19/2*g - 14/3*g**a - 6. (g - 4)*(2*g - 3)**2/6 Suppose -310 = -23*l + 472. Suppose -l*p + 102 = -0*p. Factor -2/3*w**4 + 0*w + 0 + 4/3*w**2 + 2/3*w**p. -2*w**2*(w - 2)*(w + 1)/3 Let d(q) be the second derivative of q**6/6 - 5*q**5/4 - 140*q**4/3 - 490*q**3/3 - 1019*q. Determine m so that d(m) = 0. -7, -2, 0, 14 Let a(k) be the third derivative of -k**5/180 + 365*k**4/72 - 521*k**2. Factor a(l). -l*(l - 365)/3 Determine x, given that 110592 + 168*x**2 - 2007*x - 6350*x + 195*x**2 + 1121*x - 5436*x = 0. 192/11 Let l(j) be the second derivative of -j**5/12 - 25*j**4/24 - 5*j**3 - j**2/2 - 14*j. Let x(y) be the first derivative of l(y). Factor x(f). -5*(f + 2)*(f + 3) Suppose 3*j - 31 = -5*i, 2*i = 13 - 3. Determine y so that -18*y + 41 + y**2 + 0*y**j + 0 + 4 = 0. 3, 15 Let g be ((-11 - -3)/(-4))/((-16)/(-24)). Determine t so that -18 + 2*t**5 + 10*t**4 - 6*t**3 + 20*t**2 - 12*t**4 + 2*t**g + 18*t - 16*t**3 = 0. -3, -1, 1, 3 Let s(w) be the third derivative of w**6/300 - 8*w**5/75 - 77*w**4/60 - 4*w**3 + w**2 + 1549*w. Factor s(n). 2*(n - 20)*(n + 1)*(n + 3)/5 Let i(j) be the third derivative of -5*j**8/336 - j**7/6 + j**6/12 + 23*j**5/6 - 325*j**4/24 + 125*j**3/6 - 62*j**2. Factor i(w). -5*(w - 1)**3*(w + 5)**2 Solve 135*f - 9/2*f**4 - 54*f**2 - 39*f**3 - 75/2 = 0. -5, 1/3, 1 Let d be 1/(-2)*0/151. Let u(c) be the first derivative of d*c**4 - 18/7*c**2 - 22/21*c**3 - 16/7*c + 2/35*c**5 + 6. Find k, given that u(k) = 0. -2, -1, 4 Let s be ((-14)/(-28))/(1/6). Find v such that 985*v**s + 4*v**4 + 28*v**2 - 32 - 1009*v**3 + 5*v + 27*v - 8*v = 0. -1, 1, 2, 4 Let n be ((-38)/(-475))/((-20)/(-110) - 12/(-55)). Solve -9/5*g - 14/5 - n*g**2 = 0. -7, -2 Let v be -38 + 87 - (5 + -2). Suppose -38*z**3 + 40*z**2 - 12 + 27*z**3 + 29*z**3 - v*z = 0. Calculate z. -3, -2/9, 1 Let m be (186 + (-180700)/973)/(6/(-14) + 1). Solve -9/2*s**2 + 0 - m*s**3 - 4*s = 0. -8, -1, 0 Suppose -124*f**2 - 30*f**3 - 184/3*f + 54*f**4 - 16/3 = 0. What is f? -2/3, -1/9, 2 Suppose 487 = 6*o + 259. Factor 18*p**2 - 17*p**2 + o - 20 - 9*p. (p - 6)*(p - 3) Suppose 0 = 53*b + 54 - 266. Let t(u) be the second derivative of 1/90*u**b + 0 - 4*u - 4/15*u**2 + 0*u**3. Factor t(y). 2*(y - 2)*(y + 2)/15 Let f = -564802 + 273364895/484. Let l = f - 1/484. Suppose -3/2*n**2 + l*n**3 - 3/2*n + 3/2 = 0. What is n? -1, 1 Suppose 12*d + 2*d = 14. Suppose -65*b - d = -1. Factor 0 - 2/9*a**3 + 0*a**2 + 2/9*a**5 + b*a + 0*a**4. 2*a**3*(a - 1)*(a + 1)/9 Let w be (-1)/2 + 45/10. Factor -2*a + 5*a + w*a - 4*a**3 + a + 4*a**2. -4*a*(a - 2)*(a + 1) Let a(r) be the first derivative of -2*r**5/15 + 7*r**4/3 - 106*r**3/9 + 16*r**2/3 + 56*r + 5334. Solve a(s) = 0 for s. -1, 2, 6, 7 Let a(f) = 11*f**4 - 11*f**3 - 2*f**2 - 4. Let l(g) = -9*g**4 + 9*g**3 + 3*g**2 + 3. Let o(k) = 3*a(k) + 4*l(k). Suppose o(h) = 0. What is h? -1, 0, 2 Let t(p) be the first derivative of 5/6*p**4 - 4 + 1/12*p**5 + 10/3*p**3 + 0*p - 39/2*p**2. Let c(z) be the second derivative of t(z). Solve c(j) = 0. -2 Suppose 0 = 59*g - 42*g - 255. Suppose 5*s - y = 25, 16*s - y + g = 19*s. Solve 3*j**4 + 0*j + 4/3*j**s + 1/3*j**2 + 2*j**3 + 0 = 0 for j. -1, -1/4, 0 Suppose -2*l + 0*d + 7 = -3*d, l = d + 3. Factor -152*y**3 - 4*y**l + 148*y**3 - 2*y + 0*y**4 - y**4 - y**2. -y*(y + 1)**2*(y + 2) Suppose -9*f + 2*f = -105. Suppose 180*s**3 + 170*s**2 + 37*s**5 - f*s**5 + 21*s**4 + 55*s + 49*s**4 - 17*s**5 = 0. What is s? -11, -1, 0 Let a(o) be the second derivative of 0 + 0*o**2 + 0*o**3 + 62*o - 1/70*o**5 + 1/14*o**4. Factor a(c). -2*c**2*(c - 3)/7 Let l(f) = -3*f**2 + 18*f - 45. Let s be l(3). Let g be 29 + -23 + 100/s. Factor 2/3 - 2/9*j**2 + g*j. -2*(j - 3)*(j + 1)/9 Determine t so that -11305*t + 54473 - 71*t**2 + 826*t**2 - 14048 + 5*t**3 = 0. -165, 7 Let c(w) = -3*w**4 + w**3 + 2*w**2 - 4*w + 1. Let l(t) = 16*t**4 + 13*t**3 + 59*t**2 - 68*t - 5. Let a(k) = -10*c(k) - 2*l(k). Factor a(q). -2*q*(q - 1)*(q + 8)*(q + 11) Let y(q) be the first derivative of 5*q**3/3 - 565*q**2/2 - 1879. Factor y(p). 5*p*(p - 113) Let g(p) = 27*p**4 + 501*p**3 + 232*p**2 + 20*p + 5. Let s(q) = q**4 - q**3 + 2*q**2 + 2*q - 1. Let b(t) = -g(t) - 5*s(t). Factor b(k). -2*k*(k + 15)*(4*k + 1)**2 Let g(h) be the first derivative of 1/3*h**3 - 27/2*h**2 + 0*h + 186. Factor g(o). o*(o - 27) Let o(c) be the first derivative of 0*c**2 - 6 + 0*c**4 + 1/20*c**5 - 10*c - 1/6*c**3. Let a(n) be the first derivative of o(n). Factor a(w). w*(w - 1)*(w + 1) Suppose 88 = -a + 92. Suppose 604*s - 299*s - 305*s - 5*s**a + 5*s**2 = 0. What is s? -1, 0, 1 Let n(c) be the second derivative of 1/3*c**3 + 1/3*c**4 + 0*c**5 + 0*c**2 - 2/15*c**6 + 37*c + 0 - 1/21*c**7. Determine v, given that n(v) = 0. -1, 0, 1 Factor -13428/7*p**2 - 5604672636/7 + 15025932/7*p + 4/7*p**3. 4*(p - 1119)**3/7 Let b(i) be the second derivative of -7*i**5/5 - 1027*i**4/3 + 196*i**3 - 831*i. Suppose b(o) = 0. Calculate o. -147, 0, 2/7 Factor 224*g**2 - 1520*g + 145*g**2 + 20*g**3 + 70 + 367*g**2 - 144*g**2 + 442. 4*(g - 2)*(g + 32)*(5*g - 2) Solve -1/3*s + 6*s**2 + 1/3*s**3 - 6 = 0 for s. -18, -1, 1 Let z(x) = x**2 - 411*x - 4022. Suppose -2*p + 2*h = 26, -13*p = -11*p + h + 20. Let y(r) = -r**2 + 206*r + 2012. Let l(t) = p*y(t) - 6*z(t). Factor l(w). 5*(w + 20)**2 Let f(a) be the third derivative of -a**7/420 - 2*a**6/45 + 3*a**5/20 - 81*a**3/2 - a**2 - 20. Let b(v) be the first derivative of f(v). Factor b(p). -2*p*(p - 1)*(p + 9) Suppose -112/3 + 2/9*x**3 + 28/9*x**2 - 310/9*x = 0. What is x? -21, -1, 8 Let l(r) be the second derivative of -2*r + 2/5*r**2 - 1/15*r**4 + 1/25*r**5 - 52 - 2/15*r**3. Let l(x) = 0. What is x? -1, 1 Let t(j) be the second derivative of j**4/15 + 164*j**3/3 - 822*j**2/
{ "pile_set_name": "DM Mathematics" }
*f - 360. Let z = -1 - -10. What is the greatest common factor of z and f? 9 Let x(k) = 10*k - 2. Let n be x(4). Calculate the greatest common divisor of n and 19. 19 Let v(s) = -12*s + 2. Let x be v(-2). What is the greatest common divisor of x and 13? 13 Let j(m) = 4*m**2 - 2*m + 3. Let r be j(2). What is the greatest common divisor of 10 and r? 5 Let k = 21 - 20. Let v be (-7)/(k + 4 + -6). Let d be (-39)/(-6) + (-2)/(-4). Calculate the greatest common factor of v and d. 7 Let u be 15/(6*2/40). Suppose -4*o + u = o. What is the highest common divisor of o and 10? 10 Suppose -3*s - 114 = -4*b + b, -4*b - 2*s + 122 = 0. What is the greatest common divisor of 44 and b? 11 Suppose 0*h - 2*h = 0. Suppose 3*g + 2*m - 10 = h, 0 = -3*g - 5*m - 0 + 7. Calculate the highest common divisor of g and 16. 4 Let s = 385 - 201. What is the highest common divisor of s and 8? 8 Let q be (2 - 0) + -1 - -1. Suppose q*u - 6 = -0*u. Suppose k - 12 = -3*k. What is the greatest common factor of u and k? 3 Let a(x) = 2*x - 16. Let d be a(9). Suppose -12 = -3*b, 0*b - b + 136 = d*q. What is the highest common divisor of 11 and q? 11 Let r be (8/(-10))/(1/(-35)). Let c be (-1 - -2)/(0 - 2/(-8)). Calculate the greatest common factor of r and c. 4 Suppose 4*m - 8*m + 48 = 0. Let u be 18/m*(1 - -5). What is the greatest common factor of 36 and u? 9 Let j be (-1 + 0 + -9)*(12 + -13). What is the greatest common divisor of 100 and j? 10 Let w = 7 + 14. Calculate the greatest common divisor of 63 and w. 21 Suppose -3*h - 36 + 144 = 0. Calculate the highest common factor of 90 and h. 18 Let s(v) = 6*v**2 + 2*v - 4. Let g be s(4). Calculate the greatest common divisor of g and 20. 20 Let r(z) = -z**2 + 5*z. Let m be r(3). Let y = 32 - 20. What is the greatest common divisor of y and m? 6 Let b = 129 + -91. Let h(y) = -6*y**2 + 3*y + 1. Let s be h(-2). Let p = 48 + s. What is the greatest common factor of b and p? 19 Let f(x) = 3*x**2 + 6*x + 3. Let h be f(-5). Let n = -3 + h. Calculate the highest common factor of n and 18. 9 Suppose -2*a + 7*a = 55. Suppose 0 = -5*o + 4*l + 393, o - 4*l - 73 = -6*l. Calculate the highest common factor of a and o. 11 Let j(k) = 5*k + 31. Let g be j(-5). What is the highest common factor of 21 and g? 3 Let b(x) be the third derivative of -x**4/24 + 8*x**3/3 - 5*x**2. Let m = 12 - 3. Let s be b(m). What is the greatest common divisor of 49 and s? 7 Let d be 15 - ((1 - 0) + (-9 - -9)). Calculate the highest common divisor of 2 and d. 2 Let b = -6 + 3. Let c = 7 + b. Let d be c/(-14) - (-634)/14. What is the highest common factor of d and 15? 15 Let v be 4/(-14) + (940/7 - -2). What is the greatest common divisor of v and 8? 8 Let o be 0 + 0 + (1 - -107). Suppose 5*c - c - 52 = -y, -3*y + 4*c + o = 0. Calculate the greatest common divisor of y and 100. 20 Let n(c) = -c**3 + 7*c**2 + c - 5. Let p be n(-5). Let r = p + -164. Let h(l) = l**2 + 4*l + 6. Let j be h(-6). Calculate the greatest common factor of j and r. 18 Suppose -3 = 3*z - 0. Let j be (z - -2)*(-36)/(-3). Suppose 5*t - j = -3*y, -y + 4 = -0*y + 3*t. Calculate the greatest common divisor of 10 and y. 2 Suppose 30*i = 16 + 14. Suppose -2 = -4*h - 4*s + 2, 5*s - 4 = -4*h. Let g(c) = 10*c**2 - 1. Let m be g(h). Calculate the greatest common divisor of m and i. 1 Let y(r) = r**2 - 6*r + 8. Let q be y(6). Let d be (-5)/2*32/(-10). Let g = d + q. Calculate the highest common factor of g and 48. 16 Let l = -78 + 43. Let h = -7 - l. Suppose -2*w = -3*j - 8 + 46, 0 = 5*j - 4*w - 62. What is the highest common factor of j and h? 14 Let h = -120 + 168. What is the greatest common factor of h and 16? 16 Let i = -5 + 5. Suppose i = -5*m + 6 - 1. Suppose 0 = -2*f + 6 + 2. Calculate the highest common factor of f and m. 1 Let k(a) = -1 - 3 - 2 + 4 + a. Let l be k(11). Calculate the greatest common divisor of l and 9. 9 Let z(j) = 98*j**2 - 2*j - 1. Let t = 34 - 35. Let h be z(t). Let c(u) = u**3 - u**2 + u + 9. Let i be c(0). What is the greatest common factor of h and i? 9 Let k = -25 - -55. Calculate the highest common factor of k and 60. 30 Let r = 15 + -39. Let f be 42/(r/(-10) - 2). Suppose 0 = -2*p - j + 101, 0*p - 2*p + f = 5*j. Calculate the greatest common factor of p and 10. 10 Let o(n) = -n**2 + 6*n + 6. Let k be o(6). Calculate the highest common factor of 12 and k. 6 Suppose 5*w - w = 216. Suppose 2*x = -w + 162. Calculate the highest common divisor of x and 18. 18 Let i = 116 - -1. Suppose 10*b + 5*u = 5*b + 30, 2*u = -4. Let d be (-3)/4 + 110/b. What is the greatest common divisor of i and d? 13 Suppose 0*l = -3*l + 135. Let s(v) = -v + 30. Let k be s(0). What is the highest common divisor of k and l? 15 Suppose 3*o = o - 4. Let u = 4 + o. Suppose -3*s + u = -1. What is the highest common factor of s and 8? 1 Let p(c) = 3*c**3 - 3*c**2. Suppose -2*d = 2*z - 10, -5*z = 4*d - 3*z - 14. Let y be p(d). Calculate the highest common divisor of y and 3. 3 Suppose -2*l = 2*l - 28. Suppose 52 = 5*k + 4*s, 3*k - l*s + 2*s - 46 = 0. Calculate the highest common factor of k and 132. 12 Let g = -9 + 10. Suppose -4*u = t + 8, 5*u = 2*t - 4*t - g. Calculate the greatest common factor of 96 and t. 12 Let j = 174 - 172. Let a(c) = -4*c - 2. Suppose 0*z + 2*z = -10. Let x be a(z). Calculate the highest common factor of j and x. 2 Let k = -52 - -151. Suppose -6*w = -w + 15. Let f(c) = -2*c + 3. Let b be f(w). What is the greatest common divisor of b and k? 9 Let a(b) = 3*b - 2. Let d be a(2). What is the greatest common factor of d and 44? 4 Let d be -3*6/(-1) - 2. What is the greatest common divisor of d and 16? 16 Suppose 0 = -c - 0*c + 168. Let s be -5 + 3 + (21 - -2). Calculate the greatest common divisor of s and c. 21 Let g(v) = -v**3 - 2*v**2 - 2*v - 1. Let z be g(-2). Let c be (0 - 0)/z - 1. Let i be 1 - (c + 2) - -2. Calculate the greatest common factor of 2 and i. 2 Suppose -3*l = 4*n - 337 + 85, 0 = -2*l - 4*n + 172. What is the highest common factor of 20 and l? 20 Suppose i = 3*i + 4, -3*q + 77 = -4*i. Calculate the highest common factor of q and 184. 23 Let b(u) be the third derivative of u**4/24 + 5*u**3/3 - 3*u**2. Let k be b(-11). Let y = 25 - k. Calculate the highest common divisor of 65 and y. 13 Let f(l) = -l**2 + 17*l + 34. Let v be f(18). Let y be ((-3)/2)/((-6)/160). Calculate the greatest common factor of y and v. 8 Suppose 3*f - 19 = -s + 3, -140 = -4*s + f. What is the greatest common factor of s and 85? 17 Let h(d) = -d**3 - 7*d**2 - 7*d - 3. Let z be h(-6). Suppose z*b = b. Suppose b*n = -4*n + 48. What is the highest common factor of 18 and n? 6 Let a be (2 - 0)/(4/90). Suppose 2*q + 24 = 74. Let o = -16 + q. Calculate the highest common divisor of a and o. 9 Suppose 0*w + 5*a = w - 43, 237 = 5*w - 3*a. What is the highest common factor of w and 6? 6 Let b be ((-888)/(-185))/((-6)/(-20)). Let w(f) = f**2 - f - 2. Let r be w(3). Calculate the greatest common divisor of r and b. 4 Suppose 0 = -2*l + 5*l + w - 12, -17 = -4*l - w. Let v(f) = f - 3. Let m be v(l). Suppose 0 = 27*g - 45*g + 72. What is the highest common factor of g and m? 2 Let m(x) = -x**3 + 5*x**2 - 4*x + 4. Let o be m(3). Suppose 3*f - o - 212 = 0. Let t = f + -26. Calculate the highest common divisor of 12 and t. 12 Let x(m) = m - 2. Let k be x(0). Let l = k + 9. Suppose 0 = 4*w - l*w + 39. What is the greatest common divisor of 39 and w? 13 Suppose -v + 15 = -4*v, 4*v = -2*l - 14. Calculate the greatest common factor of l and 21. 3 Suppose -11*h = -7*h - 16. Calculate the greatest common factor of h and 72. 4 Let y be (-30)/(-9)*(-1 + 16). Suppose -4*j + 25 + 15 = 0. Calculate the greatest common factor of y and j. 10 Suppose -4*g + 5*j = -55, -g + 0*j - 2*j = -17. Calculate the greatest common factor of g and 15. 15 Let u be 3/12 - 37/4. Let j = u + 21. What is the highest common factor of 3 and j? 3 Suppose -11*h - 166 + 804 = 0. What is the greatest common factor of h and 87? 29 Let t(p) = -13*p + 57. Let u be t(3). Suppose 3*d = -2*d - v + 814, 470 = 3*d - 4*v. Calculate the greatest common divisor of d and u. 18 Let c be (20/6)/(2/6). Let n be (-14)/(-3)*(-36)/(-42). Let u be 8 + ((-36)/n)/3. What is the greatest common divisor of u and c? 5 Let o be (5 - 0) + (-1)/(-1). Let s be 9/(-4)*(-24)/3. Su
{ "pile_set_name": "DM Mathematics" }