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parameterlab
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scaling_mia_the_pile_00_DM_Mathematics

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assuming r is positive. r**(-56/27) Simplify p**(-1/7)/p*p/(p**(-1/5)*p)*p*(p**0*p)**(-1/19) assuming p is positive. p**(3/665) Simplify (p**(-5/6)*p**(2/17))**(-19) assuming p is positive. p**(1387/102) Simplify (d/(d/(d/(d/(d**4*d))))*d)/d*d*d**(2/9)*d/((d/(d**3/d))/d)*d*d/d**(-1) assuming d is positive. d**(110/9) Simplify (x/(x*x/((x*x*(x/(x*x*x**(1/6)*x))/x)/x*x*x)))/x**(-1/23) assuming x is positive. x**(-155/138) Simplify (b/(b**3*b)*b*b*b*b*b**(-5))/(b**(1/2))**(-12/7) assuming b is positive. b**(-22/7) Simplify (c/c**0)**(-10)/(c**0*c)**(-3/8) assuming c is positive. c**(-77/8) Simplify (r*r**(1/5)*r)/(r/(r*(r/r**(-15))/r)) assuming r is positive. r**(86/5) Simplify (x**(1/4)*x**(-6))**50 assuming x is positive. x**(-575/2) Simplify ((q/(q**(-5)*q))**43)**24 assuming q is positive. q**5160 Simplify (f**(8/7))**25 assuming f is positive. f**(200/7) Simplify ((p**(-5)/p)/p**(-3/4))/(p/((p/(p**3*p))/p*p)*p*p**2*p) assuming p is positive. p**(-53/4) Simplify (z**4)**(-12) assuming z is positive. z**(-48) Simplify (((z*z*z*z**1*z)/z*z)/z)**43*(z*z*z*z/(z/(z/(z/(z/(z**1/z)))*z)))**(-2/161) assuming z is positive. z**(27682/161) Simplify (g*g*g**(1/4))**(4/9) assuming g is positive. g Simplify (((h**(-2)*h)/h)**39)**(3/41) assuming h is positive. h**(-234/41) Simplify (j**1)**(2/17)*((j*(j/((j/j**(-2/9))/j*j))/j)/j)/((j*j*j/(j*j**(2/13)))/j) assuming j is positive. j**(-3880/1989) Simplify (n*n**1/n*n**(-3)/n)/((n/n**(2/5))/n)**10 assuming n is positive. n Simplify ((v/((v**(2/7)/v)/v*v*v*v)*v)**(-18/11))**40 assuming v is positive. v**(-3600/77) Simplify (s**(1/6))**(-24) assuming s is positive. s**(-4) Simplify ((c/c**(-3))**(-1/45))**(4/33) assuming c is positive. c**(-16/1485) Simplify (l**(-10)/(l/(l**(4/3)*l)))/(l**(-1/14)/(l**(3/2)*l)) assuming l is positive. l**(-128/21) Simplify (w**2)**(-2) assuming w is positive. w**(-4) Simplify (x/x**29)/(x/(x**(1/3)/x)*x*x) assuming x is positive. x**(-95/3) Simplify (p**(-3/11)/p**2)**(2/23) assuming p is positive. p**(-50/253) Simplify (v**(2/25)*v*v)/(v**39*v) assuming v is positive. v**(-948/25) Simplify k**(6/7)*k*k**(-4/7)*(k*k**(2/17)/k)/(k*k**(-9)) assuming k is positive. k**(1119/119) Simplify q**(-2/9)/q**(-2/9)*((q**(2/9)/q)/q)/((((q*q*q**1*q)/q)/q)/q*q) assuming q is positive. q**(-34/9) Simplify ((j*j*j**3*j)/(j*j**(-5)/j))/(j**(2/9)*j/(j*(j/(j*(j*j*j/(j/(j/j**9))*j*j)/j))/j*j)) assuming j is positive. j**(142/9) Simplify q*q**(-40)*q*q**(-5/6) assuming q is positive. q**(-233/6) Simplify ((i*i**(1/4))**24)**(-2/35) assuming i is positive. i**(-12/7) Simplify (((u**(3/8)*u)/u)/u)/u**(-3)*u/u**1*u**(-5)/u assuming u is positive. u**(-29/8) Simplify b/(b/b**(-36))*b**2 assuming b is positive. b**(-34) Simplify y*y**11*y**7 assuming y is positive. y**19 Simplify (n*n**17)/(n*n*n*n**(3/8)*n) assuming n is positive. n**(109/8) Simplify ((g*g/(g**2*g))/(g/g**(-7)))**(-48) assuming g is positive. g**432 Simplify ((h*h**(-21))/h)/(h*h*h**(2/9)) assuming h is positive. h**(-209/9) Simplify ((y/(y*y/(y*y*y**(-4)/y)))/y)/y*y*y*y**(-5/6)*y*(y*y**(-2/5))**(2/11) assuming y is positive. y**(-1229/330) Simplify (j/((j/(j*j*j**(2/3)))/j))**(-3/8)*(j*j/(((j/(j/j**(-2/13))*j)/j*j)/j)*j)/j**(1/2) assuming j is positive. j**(133/104) Simplify ((n/(n*(n*n**0)/n))/n)**(-5/2) assuming n is positive. n**(5/2) Simplify (((y*y/((y*y**1)/y))/y*y)**32)**(-14) assuming y is positive. y**(-448) Simplify i**27*i/((i*i**11)/i) assuming i is positive. i**17 Simplify g**(-1/4)/g*g*g*g**(-1/16)*g*g**5*g**(3/2) assuming g is positive. g**(131/16) Simplify f**(-1/7)*f**(-3) assuming f is positive. f**(-22/7) Simplify y*y**(-3)*(y**(-1)/y)/y*(y/y**(-2/11))/y**(-1/4) assuming y is positive. y**(-157/44) Simplify h**(3/2)*(h/(h*h**1)*h*h)/h*(h*h/(h**(-2)/h*h))**(-38) assuming h is positive. h**(-301/2) Simplify (l*l*l/(l/l**2)*l*l*l**(-2/15))/(l/l**(-1))**(-16) assuming l is positive. l**(568/15) Simplify c**(5/4)*c/(c**(-1/5)/c) assuming c is positive. c**(69/20) Simplify (i**(-2/3)*i**2)/(i/(i**(-3)/i)*i**(5/6)) assuming i is positive. i**(-9/2) Simplify (t**0*t*t*t**(-1/4)*t)**(-6) assuming t is positive. t**(-33/2) Simplify y*y**(3/4)*y*y**1*y**(3/7)/y*y/(y**(-2)*y) assuming y is positive. y**(145/28) Simplify b*b/(b**(-2/13)/b)*(b**(-2/9)*b)/b*b*b**(-2/13)/(b*b**(-6)*b) assuming b is positive. b**(70/9) Simplify d**(-27)*d**(-1/22) assuming d is positive. d**(-595/22) Simplify t**(-2/11)/((t*t**(3/5)/t)/t) assuming t is positive. t**(12/55) Simplify ((f/f**1*f*f)**47)**1 assuming f is positive. f**94 Simplify (v*v*v/(v/v**8)*v**(-7)*v)**(-44) assuming v is positive. v**(-176) Simplify q*q/(q*q**(2/55)*q)*q*q**(-6/7) assuming q is positive. q**(41/385) Simplify ((c**(-3/2)*c)/(c*c**6*c*c))**8 assuming c is positive. c**(-76) Simplify (s*s**(-5)*s**1/s)**21 assuming s is positive. s**(-84) Simplify (n**2)**(3/46)*n**(-3/7)/(n/(n*n**(-4))) assuming n is positive. n**(-692/161) Simplify (h**(-1/7)/h**8)**10 assuming h is positive. h**(-570/7) Simplify (h*h**3)**(5/6) assuming h is positive. h**(10/3) Simplify z**(-2/41)/z*z**(2/21)*z assuming z is positive. z**(40/861) Simplify (g**(-6)*g*g**0/g)/(g*g/g**(1/4)*g**6) assuming g is positive. g**(-55/4) Simplify k**(2/9)*k**(4/5)*(k/k**7*k)/k**(2/11) assuming k is positive. k**(-2059/495) Simplify (((h**10*h)/h)/h*h)**(4/33) assuming h is positive. h**(40/33) Simplify x*x*(x/(x**(-17)/x*x)*x)/x*x**(2/13) assuming x is positive. x**(262/13) Simplify (((u*u/(u**(-8/3)/u*u))/u)/((u*u/(u/u**(2/31)))/u))**(1/4) assuming u is positive. u**(335/372) Simplify (q/(q/(q/(q/((q**13*q*q)/q))*q))*q*q**7)**(-39) assuming q is positive. q**(-897) Simplify ((y/(y**22/y))/y)/(y/(y**(-29)/y*y)) assuming y is positive. y**(-51) Simplify (o/(o*o*o**(-1/4))*o**(5/3))/((o**2*o)/o)**(-18) assuming o is positive. o**(443/12) Simplify (b**(-4/5)/(((b**(2/7)*b)/b)/b))/((b/(b*(b*b/b**7)/b*b*b))/b**(5/7)) assuming b is positive. b**(-118/35) Simplify l*l/(l**(-1/8)*l)*l*l/l**(-6)*l*(l*l*l/l**4*l*l)/(l**10*l) assuming l is positive. l**(1/8) Simplify v/(v*v**6*v)*v*(v*v/v**4)/v*(v**(-1)/v)**(-8/19) assuming v is positive. v**(-155/19) Simplify (r**(-6)/((r*r**(-6))/r))/((r/(r/r**(-4)*r))/r**(1/2)) assuming r is positive. r**(11/2) Simplify (n**(-2/5)/n**(-5))/(n**3*n**(-1/6)*n) assuming n is positive. n**(23/30) Simplify (u*u**(-1)*u)**46*u**8/(u/u**(-4)*u) assuming u is positive. u**48 Simplify ((y**0)**(-33))**34 assuming y is positive. 1 Simplify ((d**(2/35))**(-33))**(-17) assuming d is positive. d**(1122/35) Simplify (f**17*f)/f*(f/f**(1/15))/f assuming f is positive. f**(254/15) Simplify ((i*i/(i/(i/(i/(i/i**10)))*i))/i*i**0)/(i**(1/5)/i)**(1/11) assuming i is positive. i**(-546/55) Simplify (((o**(-12)/o)/o*o)/o)**(3/4) assuming o is positive. o**(-21/2) Simplify (t**(-3)/(t**(-3/5)*t))/(t**(1/4))**20 assuming t is positive. t**(-42/5) Simplify (((z*z*z**(-1)*z)/z)/z)/z**(2/23)*(z*z**2)/(z/(z**(-1)/z)) assuming z is positive. z**(-2/23) Simplify (d/(d*(d**0/d)/d)*d)**(2/103)*d**(-1/3)*(d*d**(-6/7)*d)/d assuming d is positive. d**(-286/2163) Simplify (r*r**17/r)/(r*r*r*r**21*r) assuming r is positive. r**(-8) Simplify d/d**(-10/9)*d/d**4 assuming d is positive. d**(-8/9) Simplify q**29*q**(2/77) assuming q is positive. q**(2235/77) Simplify (q*q**(2/5))**42 assuming q is positive. q**(294/5) Simplify (a**(-2))**(4/13) assuming a is positive. a**(-8/13) Simplify w*w/(w*w**(-6)*w*w)*w*w*w**(-5)*w**(5/4)*w*w*w**(-2/3)*w assuming w is positive. w**(67/12) Simplify y/y**(2/9)*y*y/(y/(y/(y**0/y)))*(y/(y**0/y))/(y/y**(-2/9)) assuming y is positive. y**(41/9) Simplify (q*q*q**(-6))/q**(-3/17) assuming q is positive. q**(-65/17) Simplify (u**(-3)*u)/(u*u/u**4*u) assuming u is positive. 1/u Simplify (p**(-2/63)*p)/(p**(-3)/p) assuming p is positive. p**(313/63) Simplify ((f*f**5)**(-24/7))**(-46) assuming f is positive. f**(6624/7) Simplify (d**(-4)*d/d**(-4/13))**(2/55) assuming d is positive. d**(-14/143) Simplify t*t**3*t**(1/2)*t*t/(t*t**(-6)*t)*t**(-4) assuming t is positive. t**(13/2) Simplify (r/(r**1/r)*(r/r**(-1/6))/r*r)/(((r/r**(2/15))/r)/(r/(r*r**(5/2)*r))) assuming r is positive. r**(-6/5) Simplify a**(2/7)/a**10 assuming a is positive. a**(-68/7) Simplify (p*p*p**(3/32))/p**(-28) assumi
{ "pile_set_name": "DM Mathematics" }
**(2/9)/k)**(4/13))**12 assuming k is positive. k**(-112/39) Simplify (i**(1/12))**49 assuming i is positive. i**(49/12) Simplify (r*r/r**(-2/3))**(-2/145) assuming r is positive. r**(-16/435) Simplify ((h/((h/(h**(11/4)/h))/h))/h)**(1/14) assuming h is positive. h**(1/8) Simplify c/c**(-14)*c**10*c assuming c is positive. c**26 Simplify z**(2/5)/z**(2/21)*z/(z/((z/((z/z**(-5/3))/z))/z))*z/(z/(z**(-2)/z*z)*z*z) assuming z is positive. z**(-563/105) Simplify (g*g**1*(g*g**(-17)/g)/g)**(1/30) assuming g is positive. g**(-8/15) Simplify t/(t**(-5)/t)*t**(-1/4)/t*(t*(t*t**(1/4)*t)/t)**28 assuming t is positive. t**(275/4) Simplify (p/(p*(p*p/p**1)/p*p)*p**(-3))**(-1/61) assuming p is positive. p**(4/61) Simplify r**(-6/5)/r*r/(((r/(r**(15/2)/r)*r)/r)/r) assuming r is positive. r**(53/10) Simplify a/(a**8/a)*a**24/a assuming a is positive. a**17 Simplify (p**(1/4))**(1/13)/(((p**(-1/3)*p)/p*p*p)/(p/p**(-3))) assuming p is positive. p**(367/156) Simplify (w*w**(-10)*w)**(-8) assuming w is positive. w**64 Simplify (a/(a/(a*a**(2/17)*a)))/a*a*a**(1/25) assuming a is positive. a**(917/425) Simplify (w**(-9)*(w**(2/25)/w)/w)/((w*w**(-2/5)*w*w)/(w*w/(w*w**(1/5)))) assuming w is positive. w**(-318/25) Simplify ((m*m**(1/3))/m)**21/((m*m**(-3/7))/(m**0/m*m)) assuming m is positive. m**(45/7) Simplify (p**(-7))**(-11) assuming p is positive. p**77 Simplify (i**(-6)/i)/i*i**(1/5)/i*i**(-1/7)*i*i*i**(2/3) assuming i is positive. i**(-659/105) Simplify ((z**0)**(-3/13))**(-5/2) assuming z is positive. 1 Simplify (d*d/d**4*d**11)/(d/(d*d**(1/2)))**(-7/12) assuming d is positive. d**(209/24) Simplify b**(6/7)/(b**8*b*b)*b/(b**(4/5)/b*b)*b**(-2/19)*b assuming b is positive. b**(-5352/665) Simplify ((u/(u*u**(-1/48)))/u)**(1/6) assuming u is positive. u**(-47/288) Simplify (q**(-11)*q*(q**(-3/2)*q*q)/q*q)**23 assuming q is positive. q**(-437/2) Simplify c*c*c*c**(-17)*c**(-21/4) assuming c is positive. c**(-77/4) Simplify p/(p*(p**2/p)/p)*p**(1/10)*p*p*p*(p*p**3)**47 assuming p is positive. p**(1911/10) Simplify f**(-17)/(f/(f**(-1/2)/f)) assuming f is positive. f**(-39/2) Simplify b/(b**6*b)*b*b**6*b**(-6)/(b/(b*b**4)*b) assuming b is positive. b**(-2) Simplify ((b/(b/(b/b**(7/2)))*b)/b*b)**(-1/13) assuming b is positive. b**(3/26) Simplify (g**(1/3))**(25/6)*g**(1/6)/g*g/(g/g**(1/4)) assuming g is positive. g**(29/36) Simplify (w/(w/w**(-15)))/(w/(w**(-40)/w)) assuming w is positive. w**(-57) Simplify (((r*r**(-2/35)*r)/r)/r**(1/2))**(2/33) assuming r is positive. r**(31/1155) Simplify (o**(-1/3)/o*o)**48/((o*o**(2/15))/o*o*o**(1/4)*o) assuming o is positive. o**(-1103/60) Simplify ((j*j*j**1*j)/j*j**(3/8)*j)/(((j*j*j**0)/j)/j)**(-1/67) assuming j is positive. j**(35/8) Simplify (s**3*s)/((s**(1/25)*s)/s) assuming s is positive. s**(99/25) Simplify ((d*d**(-1/3))**(-3/2))**43 assuming d is positive. d**(-43) Simplify (g**(-2/5))**(-15) assuming g is positive. g**6 Simplify (a*a*a**(1/3)/a*a)**(7/4) assuming a is positive. a**(49/12) Simplify (i**(-1/4))**4 assuming i is positive. 1/i Simplify (a**(-1/3)/a)**40/(a*a**(-2/11)*a*a*a**2) assuming a is positive. a**(-1919/33) Simplify b**(-2/21)/(b/(b*b**(-2)*b)) assuming b is positive. b**(-23/21) Simplify (a**(-6))**(-2/23) assuming a is positive. a**(12/23) Simplify (p/p**(-2/3))**(1/7)*((p/p**(1/9))/p*p)/(((p/p**(-2/3)*p)/p)/p) assuming p is positive. p**(29/63) Simplify (h*h*h**(1/4)/h)/(h/(h**(-4/7)/h)*h) assuming h is positive. h**(-65/28) Simplify (p**0/(p*p**3))**(-3) assuming p is positive. p**12 Simplify (j*j**(3/5))**(-2/39) assuming j is positive. j**(-16/195) Simplify (((y/((y*y*y**(2/25))/y))/y)/((((y**3*y)/y)/y)/y))/(y/(y/y**6*y)*y**(-2/11)) assuming y is positive. y**(-1897/275) Simplify k**20*k/((k**(-14)/k)/k)*k assuming k is positive. k**38 Simplify (b**(4/17)*b)/(b/(b*(b*b**(-7/6))/b)) assuming b is positive. b**(7/102) Simplify (u*u*u/(u*u**(2/11)/u*u)*u*u*u)**18 assuming u is positive. u**(954/11) Simplify (i**18/i)/(i*i/(i/(i/i**(2/31))*i)) assuming i is positive. i**(498/31) Simplify q**(-3/8)/(q/(q/(q/(q**21/q)))) assuming q is positive. q**(149/8) Simplify (r/(r/r**(1/8)))/((r*r/(r**(1/7)*r*r))/r) assuming r is positive. r**(71/56) Simplify (k**(-3/7)/(k*k*k**(-6)))**(-1/3) assuming k is positive. k**(-25/21) Simplify (d/d**(-4/19))/(d**42/d) assuming d is positive. d**(-756/19) Simplify (t/t**4)/((t/(t/t**(4/7)))/t) assuming t is positive. t**(-18/7) Simplify ((p*p**(-1/8))/(p/(p/p**(3/8))))/(p/(p**(-2)*p))**46 assuming p is positive. p**(-183/2) Simplify (x**(-1/2)*x)/x*x**(-5/6)/x*x**(-2/7)*x**(3/5)/x assuming x is positive. x**(-317/105) Simplify (o**(-1/3)*o/(o*o**(-4)/o))**(-41/3) assuming o is positive. o**(-574/9) Simplify (l*l*l*(l**15*l)/l*l)/(l*l**(1/16)) assuming l is positive. l**(287/16) Simplify (d**1*d*d)**(2/117)/(d**(2/7))**(5/7) assuming d is positive. d**(-292/1911) Simplify (((g/g**(-3/5))/g)/(g/(g**21/g)))**35 assuming g is positive. g**686 Simplify m**(1/5)*m*m/((m*m*m**(5/6)/m)/m) assuming m is positive. m**(41/30) Simplify b**(1/4)*b**(-2/9)*((((b**0*b)/b)/b)/b)/(b/((b*(b**(-7)*b)/b*b*b)/b)) assuming b is positive. b**(-287/36) Simplify g*g/(g/((g**7/g)/g))*g/(g*g**(2/5))*(g/(g/g**(2/11)*g*g))/(g*g**(2/9)*g) assuming g is positive. g**(772/495) Simplify (k/(k*k*(k**0*k)/k))**22 assuming k is positive. k**(-22) Simplify (((u*u**7)/u*u)/u**5)**(-12/5) assuming u is positive. u**(-36/5) Simplify (((((z/z**(2/15))/z)/z)/z)**(2/39))**(-41) assuming z is positive. z**(2624/585) Simplify t**(1/41)/t*t*t*t**29/t assuming t is positive. t**(1190/41) Simplify z**(-9)*z**5*(z/z**(-1/3))**(-39) assuming z is positive. z**(-56) Simplify (q**(-5)/q)/q**(5/3)*(q/(q*q**1))/q**(1/4) assuming q is positive. q**(-107/12) Simplify (y**(-20)/y)/(y*y**(-21)*y) assuming y is positive. y**(-2) Simplify h**11*h*h**(3/11)*h*h*h/((h**(-4/7)/h)/h)*h**(-5/3) assuming h is positive. h**(3737/231) Simplify (i*i**0)**32 assuming i is positive. i**32 Simplify ((x**2/x)/(x*x*x*x**(2/17)*x))**42 assuming x is positive. x**(-2226/17) Simplify (c/c**(2/45)*c*c*c**9*c)**(34/3) assuming c is positive. c**(19822/135) Simplify (f/(f/f**(-7))*f*f*f)/((f**14*f*f)/f) assuming f is positive. f**(-19) Simplify (k**(2/3)/k*k)/k**(-1/3)*(k**6/k)/(k**2/k) assuming k is positive. k**5 Simplify ((l*l**(-2)*l)/(l**(1/2)*l))**(-2/37) assuming l is positive. l**(3/37) Simplify (p*p*p/p**(-6))**(-1/19) assuming p is positive. p**(-9/19) Simplify (d*d/d**(-2/7))**(1/9)/(d**(1/5)*d/((d*d**5)/d)) assuming d is positive. d**(1277/315) Simplify t/(t*t*t**(-5)*t*t)*(t*t*t**(-5)*t)/t*(t**(-1/4)*t*t)**(-19/4) assuming t is positive. t**(-149/16) Simplify (x/x**(4/17))/(x/(x**(-13)*x*x*x)*x*x) assuming x is positive. x**(-208/17) Simplify (l**(-3)/l)/l**6*(l*l**(-1/11))/l*l*l/((l**(4/3)*l)/l) assuming l is positive. l**(-311/33) Simplify k**(8/9)/k**(-23) assuming k is positive. k**(215/9) Simplify (c/c**(-4/9)*c**(4/5))**(1/4) assuming c is positive. c**(101/180) Simplify (a**(1/2))**14 assuming a is positive. a**7 Simplify (h**2/h*h)/(h*h/h**(2/13))*(h**(-1))**17 assuming h is positive. h**(-219/13) Simplify a**(-4)*a**(2/5)*a*(a**(1/4))**30 assuming a is positive. a**(49/10) Simplify (b*b*(b**(4/3)/b)/b*b*(b/(b/(b/(b**(-3)*b))))/b)**1 assuming b is positive. b**(13/3) Simplify v**7/((v*v**(-5))/v)*v*v/(v*v*v**(2/5)/v*v)*v/((v*(v*v**4*v)/v)/v) assuming v is positive. v**(38/5) Simplify (i**(-2/3)*i*i**(-5))**(-5/8) assuming i is positive. i**(35/12) Simplify (d/(d*d*d**1*d))**(4/11)*(d**(-3)/d)/(d*d**4*d) assuming d is positive. d**(-122/11) Simplify q**(-2)*q*(q/(q/(q*q**(11/6)/q*q)))/q*q assuming q is positive. q**(11/6) Simplify (n**(1/2))**(-28)/(n**(-1/4)/n**3) assuming n is positive. n**(-43/4) Simplify ((t*t**(1/7)*t)/t*t)/(t/(t/(t/(t**(-3)/t))*t))*(t*t**(-1/4))/(t*t**(-6)) assuming t is positive. t**(109/28) Simplify ((r*r**7)**13)**(-21) assuming r is positive. r**(-2184) Simplify (i**3)**(4/17) assuming i is positive. i**(12/17) Simplify (c**(2/19)/c*c/(c/(c*c/(c*c**10)*c)*c))/(c/((c**(-7)/c)/c*c)*c/(c*c**11)) assuming c is positive. c**(-150/19) Simplify (z*z**(-9)*z/(z*z**(5/6))*z)/(z**(-2))**(-2/107) assuming z is positive. z**(-5053/642) Simplify (w*w/((w/(w*w/(w/(w**(-2/3)/w))*w*w))/w)*w*w**(-1/3)/w*w*w)/(w
{ "pile_set_name": "DM Mathematics" }
= 0.13 - -0.27. Let r = -0.8 - -1. Let v = -2.2 + r. Which is the third biggest value? (a) v (b) 0.2 (c) n a Let o = -12 + 19. Let u = o + -6. What is the smallest value in 0.5, u, 0.3? 0.3 Let s be 0 - 2/(-4)*2. Which is the smallest value? (a) 0 (b) 5 (c) s a Let g = -100.9 + 101. Which is the smallest value? (a) 4/5 (b) 0 (c) g b Let j be (2/4)/(1/(-4)). Let g = -1.74 - -0.73. Let i = -0.01 - g. Which is the biggest value? (a) i (b) j (c) -3 a Let u = -7 - -7.01. Let a = 0.49 + u. What is the biggest value in -3, -4, a? a Let v = -13 - -11.8. Let y = v + -2.8. Let h = -3.07 + 0.07. What is the biggest value in h, 3, y? 3 Let f = -4 - -2. Let y = -51 + 52.8. Let p = y + f. What is the biggest value in 1/2, p, -0.5? 1/2 Let m = -0.048 + -3.952. Let i = -16 + 11. What is the third smallest value in -1, m, i? -1 Let l = -45 - -45. What is the smallest value in -1/8, -1, -2/3, l? -1 Let s = 1235.83 - 1229. Let f = s - -0.17. What is the third biggest value in -5, 2/7, f? -5 Let n = -1.3 - 2.5. Let g = n + -1.2. Which is the third biggest value? (a) 1/2 (b) g (c) -4 b Let x = 6 + 2. Let d = 8 + -2. Let r = d - x. Which is the second smallest value? (a) 1/2 (b) 1 (c) r a Let f = 1.3 + 3.7. Which is the third smallest value? (a) -0.4 (b) -5 (c) f c Let d = 4 + -3.5. Let j be ((-96)/10)/(3/(-10)). Let l be j/(-63) + 4/18. What is the third biggest value in d, l, -2? -2 Let a(q) = -2*q - 6. Let t be a(-4). Suppose -t*f = -4*f + 6. Let z be 22/28 + (-4)/14. What is the biggest value in z, -0.3, f? f Let r = -3.95 + 4. Let m = 5.05 - r. What is the smallest value in -1, m, -1/5? -1 Let g be (-30)/14 - (-1 + -1). Let w = 32 - 127/4. What is the second biggest value in w, 2, g? w Let l = 5 + -7. Let h = l + 1.9. Let x = -55 + 58. What is the smallest value in -3/2, h, x? -3/2 Let u = 11.13 - 11. Let f = u - 0.33. Which is the third smallest value? (a) -2/7 (b) f (c) 5 c Let z = -6.7 - -7. What is the second biggest value in z, 1, 0.1? z Let k = -0.07 + -0.23. Let o = 79.5 - 80. Which is the third biggest value? (a) 3/8 (b) k (c) o c Let n = -0.07 + 3.07. Let v = 1 - n. Let l = v - -5. Which is the second biggest value? (a) -5 (b) 0 (c) l b Let z be -4*10/8*-1. Let d = -15/1061 - -588960/7427. Let p = d - 79. Which is the smallest value? (a) p (b) z (c) 5/6 a Let n = -10.8 - -11.66. Let d = n - -0.14. What is the second biggest value in 0.5, -4, d? 0.5 Let m = 5 - 9. Let f be -4*(-4)/40 - 0. What is the second biggest value in f, -3/7, m? -3/7 Let u = -5 + 4.7. Let t = u - 0.2. Let s = 0 + -1. Which is the second smallest value? (a) s (b) -0.4 (c) t c Suppose 0*w - 2*w - 8 = 0. Let v = -0.2 + 0.18. Let h = -0.42 - v. Which is the smallest value? (a) 3 (b) h (c) w c Let s = 30.8 - 31. Let d = 0.2 - 0.22. Let t = 2.98 - d. What is the smallest value in 2, s, t? s Let z = -1 - 0. Let p = 1.2 + z. Let i = p + 0.3. Which is the third smallest value? (a) -4 (b) i (c) -0.2 b Let b be (-1 + -1)/10*-4. Let q be (-10)/(-4) + 1 - 2. What is the smallest value in q, 0.4, b? 0.4 Let z = 0.9 + -1.9. Let m = 3 + z. Which is the biggest value? (a) -0.5 (b) 1 (c) m c Let f = 0.01 + -0.11. Let x = 0.6 + f. Suppose -5*i + 2*l - 11 = -2*i, 5 = 3*i + 2*l. What is the smallest value in 3/2, i, x? i Let f(a) = 4*a**2 + 10*a + 9. Let j be f(-1). Let l be ((-2)/(-9))/(4/(-3)). What is the second biggest value in -3, l, j? l Let p = -29/112 + 1/112. Which is the smallest value? (a) -0.5 (b) p (c) 0.1 a Let u = 4 - 0. Let t be 30/(-25) - (-2 - -1). Which is the second biggest value? (a) u (b) -1/8 (c) t b Let p = 1 - -3. Let t be (p/(-6))/(11/3). Which is the second biggest value? (a) 3/2 (b) t (c) -0.2 b Let q be -1*2 - (-32)/18. Let p = 3857/17 - 227. Which is the second smallest value? (a) q (b) -4 (c) p a Suppose g - 9 = -2*y, 2*y + 0*y - 14 = -2*g. Let x(r) = -r. Let a be x(-5). Suppose i = -2*c - a, -i - 2*c = -g*i. What is the smallest value in i, 0, -3? -3 Let o = -27 - -24. Let y be o/14*12/(-18). Which is the third biggest value? (a) 4 (b) -2 (c) y b Let j = 3 - 3. Let c = -4/73 + -280/219. What is the smallest value in j, -0.2, c? c Let l be (55/495)/(1 + 10/(-12)). Let n = -0.3 - 0.7. Which is the biggest value? (a) l (b) n (c) 1/6 a Suppose 2*q + 13 = 3. What is the second biggest value in 5/2, q, -1? -1 Let v = 8.372 - -0.028. Let q = -8 + v. Let w = -12 - -11. Which is the third smallest value? (a) q (b) w (c) 3 c Let y = 9 - 6. Let x = -1.3 + 1. Let i = 6 + -1. Which is the biggest value? (a) i (b) y (c) x a Let a be 5 - 20 - (1 + -4). Let k be a/15*15/3. Let f be (4/(-16))/(2/k). What is the third smallest value in f, 1/5, 0.4? f Let v = 2 - 1.6. What is the second smallest value in 2, v, -2.2? v Let y be 3*-2*4/(-6). Let o = -1.8 + -2.2. What is the biggest value in y, o, 0? y Let x be (-2 + (-14)/(-5))/(1 - 3). Which is the fourth biggest value? (a) -4 (b) 3 (c) 0.09 (d) x a Let q be (-6*4/(-12))/(-1). Let l = 4 - 4. Which is the second smallest value? (a) l (b) 5 (c) q a Let d = -9.98 - -10. Let q = -21 + 23.98. Let v = q + d. What is the biggest value in 5, v, 1? 5 Let l = 13 + -14. Let o = l + 5. What is the third biggest value in o, -0.5, 0.4? -0.5 Let i = -65 + 135/2. Suppose 6*t + 4 = 4*t. Let o be t/6 - (-65)/15. Which is the second smallest value? (a) 5 (b) i (c) o c Let h = -2.1 + 1.9. What is the third smallest value in 1, h, -5? 1 Let t be ((-1)/3)/(6/(-36)). What is the smallest value in -4/11, 4, t? -4/11 Let s be 3/(-21) + 2/42. What is the biggest value in s, -3, 2? 2 Suppose q - 5 = 2*l, q + 1 = 2*q + 2*l. Suppose -p = j - 6 + 1, 0 = 2*j - p - 4. Let i be (-20)/6 - (-1)/j. Which is the biggest value? (a) -0.1 (b) i (c) q c Let y be 3/(-12)*2*1. Let b be 6/(-18) + (0 - (-1)/2). What is the third biggest value in y, b, 1/4? y Suppose -5*s - 7 = -4*r, -3*s = 4*r + s - 16. Suppose -r*j - 8 = 1. Let x be (-4)/(-14) + (-13)/21. Which is the smallest value? (a) x (b) -0.2 (c) j c Let y = -0.7 - -3.7. Let z = 2.2 - 2.1. Which is the second smallest value? (a) -0.2 (b) z (c) y b Let s = -2 + 2. Let a = -0.5 - s. Let t = -116/357 + 2/51. What is the smallest value in t, a, -2? -2 Let c = -17903/1290 - -208/15. Let s = 89/258 + c. Let k = 23 - 22. What is the third smallest value in k, s, -3? k Let b be 1/9 + 9/((-324)/10). What is the biggest value in -0.2, 0, 3/5, b? 3/5 Let t = -4.187 - -0.187. What is the second smallest value in -1/16, 0.1, t? -1/16 Let n be (-6)/((0 - 2)*1). Which is the third biggest value? (a) n (b) -0.5 (c) 2/5 b Let t = -10.93 + 11. Let g = t + -0.07. Which is the third smallest value? (a) 0.5 (b) -0.5 (c) g a Let x be (-6)/2*(-2)/8. Suppose -3 = 2*m + 4*z + 5, 2*m - 3*z = -15. What is the smallest value in -0.5, x, m? m Let m = 142 - 142.2. What is the second smallest value in -0.07, -3/4, m, -3/7? -3/7 Let q(r) = -2*r**3 - 2*r + 1. Let h be q(1). Let g = 3 - 1. Let j = g + 3. Which is the second biggest value? (a) j (b) h (c) -5 b Let m = -36 - -32. Let v = 0.4 - 0.2. Let s = 2 + 0. Which is the smallest value? (a) v (b) m (c) s b Let f be 0 + 0 - (-3 + 1). Let h(q) = 29*q + 2. Let y be h(f). Let b be 56/y - (-1)/(-3). What is the third smallest value in -2/11, b, -3? b Let z = -73.7 + 74. Which is the third biggest value? (a) 7 (b) z (c) 2 (d) 1/9 b Let t be (0 + -1)/(2 + -3). Let j = 66 - 69.7. Let p = -0.7 - j. What is the smallest value in t, -1/5, p? -1/5 Let d = 87 + -91. Which is the third smallest value? (a) d (b) 3 (c) 0.06 b Let t = 22.1 - 22. What is the biggest value in t, -1/7, -0.4? t Suppose -8 - 2 = -2*t. Let v = t - 3. What is the third biggest value in v, 3, -2? -2 Suppose 1 - 16 = 2*w + 3*r, 2*r + 10 = 5*w. What is the smallest value in 4, 5, w? w Let u = -9 + 1. Let f = u + 8.08. Let c = f - -0.22. What is the second smallest value in 2, 3, c? 2 Let j = -171 - -168.01. Let d = -0.01 + j. Suppose 77*t = 75*t + 6. Which is the smallest value? (a) t (b) 0.4 (c) d c Let k = -2 - -1.8. Let x = -0.1 + 0.04. Let r = 5.06 + x. What is the second smallest value in k, 0, r? 0 Let h = -4.97 + -0.03. Let n = -4 - h. Which is the third biggest value? (a) 0 (b) n (c) -1 c Suppose v + 12 = -3*v. Let i be (v/2
{ "pile_set_name": "DM Mathematics" }
st value? (a) -5 (b) m (c) 1 a Let r be (-2 - -1) + 6/5. Let l = 7.3 + -7. Let t = 0.1 - l. Which is the biggest value? (a) 2/3 (b) t (c) r a Let k be 7/(-4 - 10) - (-18)/52. Which is the biggest value? (a) -5 (b) k (c) -1.3 (d) 1/5 d Let t = 0.063 + 0.337. Which is the fourth smallest value? (a) t (b) 4/9 (c) 3 (d) -4 c Suppose 0*n - 20 = -3*n + 5*k, 4*k + 16 = -3*n. Suppose -j = -n*j - 5. Let p be (1/j)/(1/2). What is the biggest value in 0.5, 1/7, p? 0.5 Let k be 2*-3*2/(-6). Suppose -4*o + 2 = -k*o. Let z = 1.5 - 2. What is the second biggest value in z, o, 0.5? 0.5 Let r be 1*(-4 - -5)*-5. Let y = -131/5 + 654/25. Let t = 16/225 - y. Which is the second biggest value? (a) r (b) t (c) 0.5 b Let g = 38 + -37.7. Which is the second smallest value? (a) g (b) -2/15 (c) 0.2 (d) 1 c Let v be 440/850 + (-2)/5. What is the smallest value in -0.5, v, -3? -3 Let j be ((-2)/2*2)/4. Let v = -5 - -6. What is the third biggest value in j, v, -2/5? j Let u = -1.7 + 1.86. Let g = u - 3.16. What is the smallest value in 2, g, -1/10? g Let k = 42/5 + -131/15. Let p be -3 - -2 - (-6)/10. Which is the second smallest value? (a) k (b) p (c) -5 b Let y = 87 + -82. Let t be (10/8)/(2/(-8)). Which is the second biggest value? (a) 4/5 (b) y (c) t a Let y = -6.2 + 8. Let s = -2 + y. Let p = -113/3 - -38. Which is the second smallest value? (a) p (b) s (c) -3 b Let g = 30 + -26. Which is the third biggest value? (a) g (b) -0.2 (c) 0.2 b Let a = -29 - -31.05. Let m = -0.05 + a. Let z = 1 - m. What is the third smallest value in 1/2, -2, z? 1/2 Let g = -0.079 + 3.079. Suppose -13 = 5*q + 2. What is the third smallest value in q, 4, g? 4 Let w be (1/(-4))/(18/(-96)). Let k be 1 - (-2)/2*0. Let l be k + -3 + 4 + -6. Which is the biggest value? (a) -3 (b) l (c) w c Let q be 3 + -3 + -5*7. Let z = -316/9 - q. What is the second smallest value in z, -0.4, -0.1? z Let b = -2.66 - -5.69. Let k = -0.03 + b. Let r = -2.6 + -0.4. What is the third biggest value in k, -1, r? r Let m = 9 - 39. Let v be 24/35 - (-12)/m. Let u = 1 + -3. What is the biggest value in -0.2, v, u? v Let j be 8 + (511/(-42) - -4). Let r = -54 + 164/3. Which is the second biggest value? (a) r (b) j (c) -4 b Let z = -32 - -36. What is the second biggest value in -0.04, z, 2/7? 2/7 Let x be ((-2)/3)/(5/(-3)). Which is the third biggest value? (a) 4 (b) 2/9 (c) x b Let r = -3/20 - -2/5. Let j = -20 - -58/3. What is the smallest value in r, j, -4? -4 Suppose -4*h - 3 = -3*h. Let t be ((-15)/9)/(h/9). What is the biggest value in t, -0.2, 0.3? t Let b = -63.8 + 64. Let l = 4.3 + 0.7. Let j = 2 - l. What is the third smallest value in j, 4, b? 4 Suppose 0 = -5*l - 0*l - 140. Let c = l - -46. Let n = -109/6 + c. What is the third smallest value in 2/7, n, 0.2? 2/7 Let o = -229/142 - 74793/994. Let k = 77 + o. Let s = 4.1 - 0.1. Which is the biggest value? (a) k (b) s (c) -0.1 b Let w = 0 - -0.1. Let l = 8.8 + -5.8. What is the second biggest value in l, w, -0.5? w Let v = -2 - -3. Let y = v - 1.1. Let m = -4.398 + 0.398. Which is the second biggest value? (a) m (b) y (c) -0.4 c Let n(k) = -k**3 - 6*k**2 - 4*k + 7. Let d be n(-5). Let w be (-1)/3 - 1/(-5). What is the second biggest value in 3, w, d? d Let y = -1.95 - -0.75. What is the biggest value in y, 0.4, 0? 0.4 Let k = -61 + 367/6. Which is the second biggest value? (a) k (b) -4 (c) -3 (d) -1 d Let l = -1.02 + 0.02. Which is the third smallest value? (a) 2 (b) 1/3 (c) l a Let k = 62 - 66. Which is the fourth smallest value? (a) k (b) -2/15 (c) -5 (d) 0.3 d Let j be (-2)/(-6) + 30/(-63). Which is the second smallest value? (a) 4 (b) j (c) 2/7 c Let u = -3.7 - 1.3. Let c be 6/(-4)*(-2)/1. Let o be (-4)/2 + 5/3. What is the second smallest value in c, u, o? o Let d = 13 + -8. Let n = 85 - 428/5. Let q = -104 + 100. Which is the second smallest value? (a) n (b) d (c) q a Let o = -2.42 - 0.08. What is the second smallest value in -0.2, -5, o? o Let r = 13.4 + -13. Let j = -18 + 22. Let s = 7 + -4. Which is the second smallest value? (a) j (b) r (c) s c Let l(g) = -g**3 - 5*g**2 - 2*g - 10. Let r be l(-5). Let i = 3 + -4. Which is the second smallest value? (a) r (b) 3 (c) i a Let r be 4/18*(1 + -4). Let p = -0.9 - -0.7. Let h = 5 + -5. Which is the biggest value? (a) r (b) p (c) h c Let h = 5 + -5.2. Suppose 15 = 2*s + 5. Suppose u = -0*u - s. What is the smallest value in h, 4, u? u Let j = 15 + -14.8. What is the third biggest value in -0.4, -1/7, j? -0.4 Let x = -212 + 210. Let v = 39/140 - 1/35. Which is the smallest value? (a) x (b) 8 (c) v a Let o = -2 + 0. Let f = o + 7. Let i = -1.9 - -2. Which is the third smallest value? (a) i (b) -0.5 (c) f c Let y(h) = -h**2 + 2. Let g be y(0). Suppose 0 = -5*x - 4*k - 37, -14 = 2*x + 2*x - g*k. Which is the second smallest value? (a) 1/4 (b) -2/5 (c) x b Let z = 30/7 + -173/42. Let l = 0.577 - 0.077. Which is the second smallest value? (a) z (b) l (c) -2 a Let z = -116 + 111. Let d = -583/4 + 145. Let h = -19/60 + -1/12. Which is the biggest value? (a) d (b) z (c) h c Let r = 0.012 - 0.112. Which is the biggest value? (a) r (b) -3 (c) 8 c Let v = -134 + 133.8. What is the fourth biggest value in 5, -0.4, v, -1/7? -0.4 Let o(l) = l. Let m = -1 - -5. Let q be o(m). Let h = 8 + -5. Which is the third biggest value? (a) 3/7 (b) h (c) q a Let h = 8 + -11. Let o = -35.7 - -33. Let g = h - o. Which is the second smallest value? (a) -1 (b) g (c) 0.2 b Suppose -10 = 5*z - 0*z. Let r be z/14 - 18/(-28). What is the second smallest value in -5, -0.4, r? -0.4 Let m be 8/5 - -1*4/10. Which is the fourth biggest value? (a) 1 (b) m (c) -24 (d) -1 c Let i = -22 + 32. Let p = -10.5 + i. Which is the smallest value? (a) 3 (b) p (c) 1 b Let k = -8 - -12. What is the third biggest value in -5, k, 1? -5 Suppose 0*i = -6*i + 24. Which is the third smallest value? (a) -5 (b) i (c) -7 b Let f be 1 - (-10)/(-35) - (2 + -1). Which is the smallest value? (a) 1/3 (b) 2/17 (c) f (d) -3/5 d Let r = 383/63 - 41/7. Which is the third biggest value? (a) -2/15 (b) 4 (c) 0.5 (d) r d Suppose 4*o = 5*o + 1. Suppose -8*d + 5*d + 12 = 0. Suppose z = d*z + 15. Which is the second smallest value? (a) z (b) o (c) 2 b Let l be (-10)/105 + 4/6. Suppose -j = -4*h + 8, 3*h + j + 5 = 4. Suppose -t - h = -0, -5*g - 2 = 2*t. Which is the biggest value? (a) l (b) g (c) -3 a Let r be -2*2/(-8) - 3. Which is the biggest value? (a) -1 (b) r (c) -4 a Let y = -32 + 31. Which is the second biggest value? (a) -5 (b) 1 (c) y c Let h = 4.32 - 0.32. Which is the third smallest value? (a) 0.16 (b) -3/5 (c) h c Let j = -23.4 + 23. Which is the third smallest value? (a) j (b) 2 (c) -3 b Let n(l) = l**2 - 7*l + 3. Let v be n(7). Which is the smallest value? (a) v (b) 2 (c) 1/3 c Let i = 5.5 - 6. Let d = -0.7 - i. Let b = 0.1 - 0. What is the biggest value in b, 0, d? b Let c = -1.4 - -1.6. Let m = 0 + c. What is the second smallest value in m, 5, 2? 2 Suppose -u - 3*k = 3*u - 176, -5*u + 225 = 5*k. Suppose 3*n - u = 37. Let z = 77/3 - n. What is the second smallest value in z, -5, 1/7? z Let j = 2 - 1.9. Let l = 4533/77 - 386/7. Let s = 331/77 - l. What is the second smallest value in j, s, -3/4? j Let x = 1.14 - -25.86. Which is the smallest value? (a) x (b) 1/6 (c) -1/4 (d) 5 c Let r = -6 - -3. Let g be 2/28*(-12)/r. What is the second smallest value in 4, g, -1? g Let p be (-188)/(-6) - 2/6. Let s = 31 - p. Let w = 0 + 0.4. Which is the biggest value? (a) s (b) 4 (c) w b Let m = 0.25 + -0.35. Which is the second biggest value? (a) 0.4 (b) 0 (c) m b Let y = 0.05 - -3.95. Let i = -0.27 + 2.27. Which is the second biggest value? (a) y (b) 3 (c) i b Let x be ((-12)/9)/(1 + 1). Let t = -1.24 + 0.24. Which is the third smallest value? (a) x (b) t (c) 4 c Let z = -2.3 - 0.7. Suppose -3*v - 5*f = 6 + 3, 3*v - 2*f = 12. Let p = -4/9 + 2/3. Which is the third smallest value? (a) p (b) v (c) z b Let o = 1.3 + 5.7. Let u = -8 + o. What is the third smallest value in 0, 2/7, u? 2/7 Let i = 0.149 + -0.049. What is the third smallest value in -4, i, 4, -0.1? i Let l be 3/(((-1)/1)/(-1)). Let u = 3 - 2.5. Which is the smallest valu
{ "pile_set_name": "DM Mathematics" }
What is the common denominator of c and -57/7? 70 Suppose 6*r - 45 = 3*r. Let g = -11520 - -207241/18. What is the common denominator of ((-284)/(-40))/((-6)/r) and g? 36 Suppose 2 = -3*n + 8. What is the lowest common multiple of n and 12? 12 Let u = -4/49 - -3291/98. Find the common denominator of 40/3 and u. 6 Suppose 27*d - 5 = 22*d. Let w be 2/(-6) + (-2)/(-6). Let o = w + 9. Calculate the lowest common multiple of o and d. 9 Let z(m) = -m**2 + 13*m + 31. Suppose -2*g + 32 = 2*g. What is the least common multiple of g and z(15)? 8 Calculate the common denominator of -69/4 and 354/495 + (-8)/44. 60 Let d be 0*(10/(-4) - -3). Suppose d = -0*q - 2*q + 10. Calculate the least common multiple of q and 6. 30 Let s = -2/21581 + 1381202/194229. What is the common denominator of s and 38/7? 63 Let u = -359/10 + 727/10. Let c = u - 2687/90. Calculate the common denominator of c and -19/16. 144 Suppose -2 + 0 = 2*m, -5*m - 62 = -3*c. Calculate the common denominator of c and (-6)/(-18) + 172/(-16). 12 Suppose -41 + 46 = 5*s. Let c = 24 - 2. Suppose -3*p = -8*p - 20, p = 2*i - c. Calculate the least common multiple of s and i. 9 Suppose -4*f - 28 = -3*r, -4*r + 21 + 7 = 4*f. Suppose 8*k = 4*k - r. What is the lowest common multiple of 2 and 7 - (3 + -1)/k? 8 Let a = -488/3 + 14146/87. Let o = -21/116 + a. Find the common denominator of ((-2)/6)/(28/6) and o. 28 Let u = 338975/32 - 10592. Find the common denominator of u and 69/40. 160 Let z(a) = 3*a**3 - a**2 - 2*a - 1. Let b be z(2). What is the lowest common multiple of (-2)/(-9) - 16/(-9) and (-1 + b/6)*6? 18 What is the common denominator of 88/21 and 8/(-44) - 262/(-594)? 189 Let a = 5081/10 - 506. What is the common denominator of 2/(-8) + (-14)/12 and a? 60 Let s = -6 + -2. Let n(k) = -k**3 - 4*k**2 - 3*k. Let p be n(-2). Calculate the common denominator of (p/(-4))/(3 - s) and -7/22. 22 Let t(w) = -21*w**3 - w**2. Let m = 11 - 17. Let l = 5 + m. What is the least common multiple of 16 and t(l)? 80 Find the common denominator of 5/18 and ((-46)/56)/(11/(-22)). 126 Let p be 1626/(-5) - (-2)/(-5). Let j = p - -313. Find the common denominator of (-2)/(-9) + 194/(-144) and j. 40 Suppose h = -2 + 24. Suppose -2*c = -0*c - 8. What is the smallest common multiple of h and c? 44 Let y(u) = -3*u - 1. Let o be y(3). Let g = o - -2. Let q = 26 + g. Calculate the smallest common multiple of q and 8. 72 Let b = 78350/3 + -26338. Let w be (-1)/6 + 20229/(-90). Let t = w - b. What is the common denominator of t and -37/7? 35 Suppose -3*h - 22 = -2*x + 2, 5*h + 14 = -x. Suppose 4*s - x = 2. What is the common denominator of ((-2)/(-6))/(s/(-3)) and 35/11? 22 Suppose 0 = -5*z - 5 - 5. Let d = 606 - 6043/10. Find the common denominator of z + (-84)/(-27) - -2 and d. 90 Let v = -8070/7 - -1155. Find the common denominator of 26/7 and v. 7 Suppose 2*v + 1 + 3 = 0. What is the common denominator of v/(-12)*-97 - 0 and (2507/(-805))/((-2)/5)? 42 Let q(a) = 3*a**2 - 3*a + 1. Let s(u) = 3*u**2 + 15*u + 3. What is the lowest common multiple of q(2) and s(-5)? 21 Suppose -4*i - 3*o = -63, -i - 23 = -5*i + 5*o. Calculate the smallest common multiple of i and 2. 12 Let x = 196 - 101. What is the common denominator of ((-2)/(-44))/((-1)/(-10)) and (x/(-5))/((-14)/(-6))? 77 Let z(v) = -67*v - 1. Let k be z(-1). What is the common denominator of 29/14 - (-6 - -5) and 53*-1*3/k? 154 Let x(a) = a**3 + 3*a**2 - 3*a + 5. Let t be x(-4). Suppose 2*i = -6*i + 24. Suppose i*m - 5 = t. What is the least common multiple of 10 and m? 10 Suppose 4*o = 4*y + 45 + 87, 5*y = -4*o + 96. Calculate the common denominator of o and 103/14. 14 Let a(o) = 34*o**3 - o**2 - o + 2. What is the smallest common multiple of a(1) and 6? 102 Calculate the common denominator of 89/24 and -3 - (32/27 - 2). 216 Suppose -4*x = p - 2*p - 20, 4*p + 25 = 5*x. Suppose 4*m + 4*l + 28 = m, p = -m + 3*l - 5. Find the common denominator of -2 - (-1 + 190/(-12) - -1) and m. 6 Let p be ((-202)/40)/((-5)/(-30)). Let y = -66/5 + p. What is the common denominator of y and -40/11? 22 Let h(s) be the third derivative of -s**4/24 + 3*s**3/2 - s**2. What is the lowest common multiple of h(0) and 5? 45 Let u(j) = -j + 32. Calculate the least common multiple of u(10) and (-1 + (-4)/1)*-2. 110 Let c be 2/(-2 + 0 + 0). Suppose 0 = 4*i - 9 - 27. Calculate the smallest common multiple of i and c/2 + 15/2. 63 Suppose -a + 4*a - 6927 = 0. Suppose b - 2*b - a = 0. Let f = b - -6856/3. What is the common denominator of 20/3 and f? 3 Let l(n) be the second derivative of -n**4/12 + 4*n**3/3 - 9*n**2/2 + 3*n. Let k be l(8). Calculate the common denominator of (k/8)/((-105)/340) and -39/16. 112 Let w = 16 - 12. Suppose 3*r - 2*v = 40, -w*r + v = 5*v - 20. Calculate the least common multiple of r and 16. 80 Let n = 1/4177 + 338329/33416. Calculate the common denominator of n and 71/6. 24 What is the lowest common multiple of 6 and -1 + (-4)/8*-46? 66 Let t(q) be the third derivative of q**5/60 - q**4/3 + q**3/6 - 2*q**2. Let g be t(6). Let s = g - -15. Calculate the least common multiple of 4 and s. 4 Find the common denominator of (107/(-30))/(9/27) and 143/6. 30 Let t = 17 + -18. Let c(g) = -8*g + 1. What is the least common multiple of c(t) and 9? 9 Let h be ((-20)/(-90))/(16/(-66)). Let c = h + 73/6. Calculate the common denominator of c and -36/7. 28 Let j = -69 - -141/2. Find the common denominator of ((-9)/24)/(10/(-328)) and j. 10 Suppose -9 - 14 = -3*s - 4*h, 0 = -4*h + 8. What is the least common multiple of s and 3? 15 Let g = 33 - 19. What is the lowest common multiple of g and 4? 28 Suppose -2*d = -7*d + 15. Suppose 0 = z + 5, 3*k - 71 = 5*z - 19. Calculate the lowest common multiple of d and k. 9 Let k = 21 + -17. Let f = 2 + k. What is the least common multiple of f and 2? 6 Let s = -13763 - -1486415/108. Let u be 1*2 - (-634)/216. Let y = s - u. Calculate the common denominator of -71/22 and y. 66 Suppose -2*r - 15 = -7*r. Let c(k) = 2*k + 1. What is the smallest common multiple of c(3) and r? 21 Let h(i) = i**2 - 4*i - 3. Let b be h(5). Suppose b*g + g = -4*p + 18, 0 = 5*p - 4*g - 7. What is the smallest common multiple of p and 7? 21 Suppose 23*j - 26*j = -30. Let w = -16 + 27. Calculate the smallest common multiple of j and w. 110 Suppose -2*l + 15 + 1 = 0. What is the least common multiple of l and 3? 24 Let s be 1 + (1 - 1023/(-6)). Let v = -205 + s. Find the common denominator of 21/20 and v. 20 Let u(p) = -p. Let y be u(-3). Let n be (-1 + 1)*12/(-36). Suppose n = -2*k + y*k - 14. Calculate the least common multiple of k and 16. 112 Calculate the least common multiple of 8 and 0/1 + (-2)/(-1). 8 Suppose 0 = f - 11. What is the lowest common multiple of (4 + (-54)/12)*-3*2 and f? 33 Let f = -1/285 - 2501/190. Suppose j = 2*v - 31 + 3, -3*v = -3*j - 36. What is the common denominator of f and 8/v - 125/14? 42 Calculate the lowest common multiple of 8 and (-3)/(-2)*(-4)/(-6). 8 Let q(a) = -a**3 + 6*a**2 - 4*a - 1. Let o be q(4). Suppose -3*y + 19 = 2*r, -2*y = y - o. What is the smallest common multiple of r and 8? 8 Suppose 0 = -4*z - 113437 - 61107. Let b be (1/8)/((-2)/z). Let r = -2742 + b. Calculate the common denominator of -57/2 and r. 4 Suppose -30 = 2*i - 10. Let r be ((-24)/i)/(3/80). Calculate the common denominator of -35/22 and (-332)/r*(-8)/(-6). 132 Let r(i) = -i**3 + 3*i**2 + i + 2. Calculate the least common multiple of r(2) and 2. 8 Suppose -7*o + 50 = -13. Calculate the smallest common multiple of o and 22. 198 Let p be ((-30326)/3)/(1 - -3). Let q = 2518 + p. Find the common denominator of -19/6 and q. 6 Suppose 59 - 8 = 3*r. Suppose -2*t - c = -4*c - r, 5*c - 1 = -4*t. Suppose 39 = t*v - 9. Calculate the least common multiple of 4 and v. 12 Let w(a) = 2*a**2 + 7*a + 14. What is the smallest common multiple of 40 and w(-4)? 360 Let k(d) be the third derivative of d**5/60 + d**4/6 - d**3/3 + 3*d**2. Calculate the smallest common multiple of k(-6) and 20. 20 Let m(z) = z**2 + 5*z + 5. Let h be m(-7). Suppose -3*i - 1 + h = 0. Calculate the lowest common multiple of 1 and i. 6 Let z = -29/11 - -1013/88. Let p = -2769/682 - -15/62. Calculate the common denominator of z and p. 88 Let t be 2*2*1/1. Suppose 2*o - 2 = -m - 1, 9 = -t*m + 5*o. What is
{ "pile_set_name": "DM Mathematics" }
vddodgddoo. Give prob of picking 1 g and 1 d. 1/13 Two letters picked without replacement from {u: 2, h: 5, s: 4}. What is prob of picking 1 s and 1 u? 8/55 What is prob of picking 1 h, 1 i, and 1 f when three letters picked without replacement from {c: 8, h: 6, i: 3, f: 2}? 12/323 Calculate prob of picking 2 j and 2 t when four letters picked without replacement from ttjtjjjjjjtjjj. 270/1001 What is prob of picking 1 y and 2 b when three letters picked without replacement from bwwwbwwwbymbyww? 12/455 Three letters picked without replacement from zrflfllzlfzllfrflz. Give prob of picking 3 l. 35/816 Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {o: 5, s: 6, x: 5, c: 1}. 15/68 Three letters picked without replacement from {k: 3, s: 1, j: 4}. Give prob of picking 3 k. 1/56 Three letters picked without replacement from fhhhhffhhhf. What is prob of picking 3 f? 4/165 Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {z: 1, m: 2, j: 2, t: 4, y: 3}. 2/11 What is prob of picking 2 q, 1 w, and 1 h when four letters picked without replacement from {j: 1, l: 4, w: 1, r: 2, q: 2, h: 2}? 2/495 What is prob of picking 4 a when four letters picked without replacement from aaaa? 1 What is prob of picking 1 u and 2 g when three letters picked without replacement from {u: 5, g: 11}? 55/112 Two letters picked without replacement from cwwwchcchww. What is prob of picking 1 c and 1 h? 8/55 Four letters picked without replacement from {f: 4, j: 16}. What is prob of picking 3 f and 1 j? 64/4845 Two letters picked without replacement from {a: 4, g: 14}. What is prob of picking 1 a and 1 g? 56/153 What is prob of picking 1 g, 1 s, 1 z, and 1 f when four letters picked without replacement from aafzhashaahhhfghfgas? 4/1615 Three letters picked without replacement from tkttfftfktktkf. What is prob of picking 2 t and 1 k? 15/91 Three letters picked without replacement from {u: 1, m: 4, r: 8}. What is prob of picking 1 u and 2 m? 3/143 Three letters picked without replacement from {f: 1, k: 3}. Give prob of picking 3 k. 1/4 Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {q: 3, x: 1, a: 3, h: 2, v: 4, d: 2}. 2/105 Two letters picked without replacement from jflfcfjcjjfflb. What is prob of picking 1 c and 1 j? 8/91 Calculate prob of picking 1 w and 1 b when two letters picked without replacement from bbbbbbbbbwbwbbbbwbw. 20/57 What is prob of picking 1 s and 2 n when three letters picked without replacement from {q: 6, n: 7, s: 2}? 6/65 What is prob of picking 2 a when two letters picked without replacement from aaawxwaxwwaw? 5/33 Calculate prob of picking 1 r, 1 j, and 2 g when four letters picked without replacement from gjrrjggggrrrrrggjgg. 63/323 Calculate prob of picking 4 p when four letters picked without replacement from ppppvvvp. 1/14 Calculate prob of picking 2 b and 1 y when three letters picked without replacement from caqyoabbq. 1/84 What is prob of picking 2 n when two letters picked without replacement from ggddsnggnggngsgs? 1/40 Four letters picked without replacement from rkrdrrtetmttt. What is prob of picking 1 d, 1 m, and 2 k? 0 What is prob of picking 1 t and 2 k when three letters picked without replacement from tkkkktkkkkktkkkkkkt? 140/323 What is prob of picking 2 e when two letters picked without replacement from {p: 1, e: 2, f: 4}? 1/21 Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {q: 2, n: 2, v: 1, k: 1, e: 7, w: 1}. 2/91 Three letters picked without replacement from {h: 2, k: 2, q: 2, n: 1, u: 1}. What is prob of picking 1 k, 1 h, and 1 q? 1/7 What is prob of picking 2 p when two letters picked without replacement from paaaooaababa? 0 What is prob of picking 2 d, 1 c, and 1 u when four letters picked without replacement from {d: 6, c: 1, u: 7}? 15/143 Four letters picked without replacement from wbwwwwwxqwwxq. What is prob of picking 2 q, 1 x, and 1 b? 2/715 Four letters picked without replacement from {c: 6, n: 13}. What is prob of picking 3 c and 1 n? 65/969 Two letters picked without replacement from ttttttzqztytttzq. Give prob of picking 1 y and 1 z. 1/40 Three letters picked without replacement from jjjjijvvnjjjnfnvn. What is prob of picking 2 n and 1 v? 9/340 Two letters picked without replacement from {g: 3, q: 1, v: 4}. What is prob of picking 2 v? 3/14 What is prob of picking 1 k and 1 q when two letters picked without replacement from kqzzzwpwz? 1/36 Three letters picked without replacement from gimgnnrrgmgrggi. Give prob of picking 1 r and 2 g. 9/91 What is prob of picking 1 b, 1 c, and 2 p when four letters picked without replacement from pccpzczcpbpcpccc? 4/91 Two letters picked without replacement from {h: 11, f: 3}. What is prob of picking 1 h and 1 f? 33/91 What is prob of picking 1 s and 2 t when three letters picked without replacement from ttttttttstttt? 3/13 What is prob of picking 3 f and 1 u when four letters picked without replacement from fjupufyjfj? 1/105 What is prob of picking 2 j when two letters picked without replacement from {i: 3, u: 2, r: 1, b: 1, j: 4, a: 1}? 1/11 What is prob of picking 2 n, 1 q, and 1 o when four letters picked without replacement from qkknykoqooooniioiy? 1/255 Calculate prob of picking 3 s when three letters picked without replacement from {s: 4}. 1 Three letters picked without replacement from sslrorrrrsssrrsrrsr. What is prob of picking 1 l, 1 o, and 1 r? 10/969 Calculate prob of picking 1 w and 1 q when two letters picked without replacement from zzzzzzqqzzzzzwqz. 1/40 Calculate prob of picking 2 y and 2 b when four letters picked without replacement from ybbyyyybjyyyyyy. 11/91 Calculate prob of picking 2 w and 2 l when four letters picked without replacement from {w: 10, l: 9}. 135/323 Four letters picked without replacement from {d: 7, i: 3}. Give prob of picking 3 d and 1 i. 1/2 Four letters picked without replacement from {u: 15, n: 5}. Give prob of picking 3 u and 1 n. 455/969 Two letters picked without replacement from {c: 2, n: 1, z: 1, b: 2}. What is prob of picking 1 n and 1 z? 1/15 Three letters picked without replacement from {m: 1, x: 1, z: 4, b: 1, l: 4, g: 1}. Give prob of picking 2 z and 1 l. 6/55 Calculate prob of picking 1 d and 3 e when four letters picked without replacement from zzzezvzvvdee. 1/495 Calculate prob of picking 1 f and 3 k when four letters picked without replacement from fffkfffffffffkfffk. 1/204 Three letters picked without replacement from uulfsuuuuuuulu. Give prob of picking 1 u, 1 s, and 1 l. 5/91 Calculate prob of picking 3 g and 1 m when four letters picked without replacement from {g: 5, m: 5}. 5/21 Four letters picked without replacement from {o: 15, a: 3}. What is prob of picking 1 a and 3 o? 91/204 Three letters picked without replacement from roopprrpp. What is prob of picking 1 o and 2 r? 1/14 Two letters picked without replacement from hihhhhhhihhhhhhhhh. Give prob of picking 1 i and 1 h. 32/153 Two letters picked without replacement from {k: 1, g: 2, m: 7}. What is prob of picking 2 m? 7/15 Calculate prob of picking 2 z and 2 k when four letters picked without replacement from zzzzzkkkkmkkkz. 45/143 Two letters picked without replacement from {y: 3, p: 1, q: 1, b: 2, r: 3}. What is prob of picking 1 b and 1 p? 2/45 Calculate prob of picking 2 b when two letters picked without replacement from {l: 1, b: 3}. 1/2 Two letters picked without replacement from {b: 3, h: 1, w: 3, x: 2, g: 4, c: 2}. Give prob of picking 1 c and 1 h. 2/105 Two letters picked without replacement from tqbggqqbqmgpmqq. Give prob of picking 1 q and 1 b. 4/35 Two letters picked without replacement from klpjllmllmkppl. Give prob of picking 1 j and 1 k. 2/91 Two letters picked without replacement from {c: 4, y: 2, m: 4}. What is prob of picking 1 y and 1 c? 8/45 Three letters picked without replacement from pssssssssssssss. Give prob of picking 3 s. 4/5 Three letters picked without replacement from {b: 1, c: 4, m: 3, x: 2}. What is prob of picking 1 m, 1 x, and 1 c? 1/5 Four letters picked without replacement from ckdcccwkcdczcckcwkc. Give prob of picking 4 k. 1/3876 Two letters picked without replacement from hhhnnh
{ "pile_set_name": "DM Mathematics" }
210860580? True Is 47943979 a multiple of 1259? True Is 16937097 a multiple of 1693? False Is 4175960 a multiple of 8? True Is 188 a factor of 62892956? True Does 2108 divide 22096056? True Is 15 a factor of 84126232? False Is 1096359435 a multiple of 1405? True Is 1262135616 a multiple of 56? True Is 1671950568 a multiple of 24? True Is 67762540 a multiple of 185? True Is 18 a factor of 10548450? True Is 18880460 a multiple of 10? True Does 8 divide 51985712? True Is 223389362 a multiple of 199? False Is 54 a factor of 19297818? True Is 4031038 a multiple of 12? False Is 586355331 a multiple of 649? False Is 174301158 a multiple of 2060? False Does 46 divide 2102197056? True Is 20 a factor of 98392020? True Is 5 a factor of 646175355? True Is 33216710 a multiple of 2457? False Is 6179105059 a multiple of 23? False Does 2457 divide 196326585? True Is 11 a factor of 60055413? True Is 16338393 a multiple of 7? False Is 79 a factor of 272725459? True Is 5487893 a multiple of 13? False Is 12 a factor of 1935718? False Is 16260584 a multiple of 8? True Is 3356448 a multiple of 96? True Is 52 a factor of 19219925? False Is 45 a factor of 4301356005? True Does 2113 divide 303757664? False Is 67919548 a multiple of 144? False Does 10 divide 178577619? False Is 1889 a factor of 489960122? False Is 43487891 a multiple of 5? False Is 9 a factor of 773646344? False Is 274080919 a multiple of 9? False Is 7540150 a multiple of 19? True Does 805 divide 207447695? True Does 180 divide 276421320? True Is 352 a factor of 45553376? True Does 1236 divide 323779994? False Is 23097598 a multiple of 216? False Is 182 a factor of 425347270? False Is 1089 a factor of 1292470? False Does 2976 divide 791165548? False Is 12 a factor of 33778297? False Does 1525 divide 27706137? False Is 2353001295 a multiple of 149? True Does 56 divide 2913166424? True Is 87305837 a multiple of 160? False Is 26446500 a multiple of 125? True Is 48 a factor of 13324404? False Is 162 a factor of 750376? False Does 4 divide 11780912? True Is 25763358 a multiple of 138? True Is 126556127 a multiple of 266? False Is 469249769 a multiple of 112? False Is 14839705 a multiple of 2046? False Does 45 divide 201170340? True Is 15 a factor of 402068967? False Is 319 a factor of 638250096? True Does 38 divide 213512601? False Is 420540 a multiple of 43? True Does 20 divide 10618983? False Does 1181 divide 42945254? False Is 347 a factor of 954683403? True Does 6 divide 14664708? True Is 994440420 a multiple of 230? True Is 4 a factor of 287496? True Is 538 a factor of 39890010? True Is 2328068349 a multiple of 17? True Is 622 a factor of 43043022? True Is 18 a factor of 4180788734? False Is 600 a factor of 1254739233? False Is 27625815 a multiple of 19? False Does 148 divide 601658406? False Does 47 divide 42070851? False Is 2369225471 a multiple of 244? False Is 17 a factor of 662373177? False Is 8975 a factor of 1227878725? True Is 30 a factor of 6638068? False Does 9 divide 2701780575? False Does 180 divide 217509388? False Is 1885600015 a multiple of 21? False Is 66559278 a multiple of 15? False Does 4 divide 94901845? False Is 146337281 a multiple of 41? False Does 863 divide 4451274? False Is 1330 a factor of 3396473976? False Is 68 a factor of 50131698? False Is 2198522913 a multiple of 630? False Is 100 a factor of 20367800? True Is 291 a factor of 587751033? True Does 261 divide 1259325? True Is 29 a factor of 5802233? True Is 51 a factor of 7325044? False Is 334 a factor of 33806733? False Does 84 divide 360716076? True Does 1278 divide 209304450? True Is 119541792 a multiple of 1973? False Is 2041692030 a multiple of 35? True Does 10 divide 4918760? True Does 65 divide 200483075? True Is 1624 a factor of 1345105608? True Does 8 divide 1791333387? False Is 77 a factor of 3051151411? True Is 5981 a factor of 580156671? False Does 43 divide 1902126070? True Is 29 a factor of 24241131? False Is 18 a factor of 971035866? True Does 17 divide 56788466? True Does 874 divide 3800157? False Is 8 a factor of 1552681962? False Is 10 a factor of 74079840? True Is 248 a factor of 71764504? True Does 616 divide 526029504? True Is 470394365 a multiple of 46? False Is 3811 a factor of 794494414? True Is 13 a factor of 21097857? False Is 55 a factor of 1091110460? True Is 5 a factor of 24197933? False Does 424 divide 245747432? True Is 186 a factor of 22996855? False Is 965961516 a multiple of 2938? True Does 1562 divide 264627792? True Does 18 divide 72771300? True Is 9913266 a multiple of 891? True Is 1184375129 a multiple of 49? True Is 115 a factor of 10987895? False Does 120 divide 795068760? True Is 471 a factor of 223142946? False Does 3606 divide 68135370? True Is 2375222 a multiple of 11? False Is 532 a factor of 68701513? False Does 84 divide 7638513? False Does 19 divide 82938173? True Is 2481356125 a multiple of 5? True Does 15 divide 98590331? False Is 41266983 a multiple of 16? False Is 38 a factor of 147923584? False Does 704 divide 2943963968? True Is 8121942 a multiple of 963? True Is 296879070 a multiple of 141? False Is 10968705 a multiple of 900? False Is 17 a factor of 29242667? False Is 15224814 a multiple of 594? True Is 108 a factor of 89363043? False Does 4151 divide 462122434? False Does 1127 divide 23026864? True Does 10 divide 71441410? True Does 365 divide 7179265? False Is 414 a factor of 79698312? True Does 18 divide 28924434? True Does 292 divide 27126005? False Is 4 a factor of 46280826? False Does 2746 divide 75206051? False Does 86 divide 43801606? True Is 98513048 a multiple of 536? True Does 1295 divide 506819035? False Is 841681764 a multiple of 77? True Is 6096 a factor of 2285372112? True Is 42706210 a multiple of 1136? False Does 1994 divide 63263638? True Does 538 divide 60791006? False Is 1278570786 a multiple of 32? False Is 3193 a factor of 76991143? False Does 188 divide 11176600? True Is 1439 a factor of 61892324? False Is 619 a factor of 96297560? False Is 71103570 a multiple of 3? True Is 368509776 a multiple of 197? True Does 1696 divide 28268928? True Does 24 divide 139399728? True Does 62 divide 30169200? True Is 44 a factor of 2059650985? False Does 46 divide 476789494? True Is 1153 a factor of 1611295593? True Does 81 divide 284224950? True Does 6 divide 209852052? True Does 31 divide 8567930? False Does 3 divide 201342977? False Does 553 divide 4472052430? False Is 14 a factor of 260392426? True Is 53 a factor of 61052627? False Does 332 divide 1362246132? True Is 42854256 a multiple of 6? True Is 365 a factor of 312939777? False Does 27 divide 170614215? True Is 2250 a factor of 965916000? True Does 75 divide 242544299? False Is 2866823743 a multiple of 231? False Is 758 a factor of 47874472? False Is 3567 a factor of 930264425? False Is 41357568 a multiple of 96? True Is 80855942 a multiple of 314? True Does 193 divide 890842645? True Is 32482973 a multiple of 9? False Is 1669 a factor of 29431146? True Does 2618 divide 739180254? False Does 40 divide 11408350? False Is 15612863 a multiple of 861? False Is 14 a factor of 13200150? False Does 81 divide 774372474? True Does 45 divide 8188445? False Does 24 divide 26524896? True Is 31193268 a multiple of 6? True Is 24978138 even? True Is 9 a factor of 8670780? True Is 21 a factor of 5133450? True Is 127389705 a multiple of 445? True Does 8 divide 839107? False Is 22605552 a multiple of 716? True Does 55 divide 27125468? False Is 420 a factor of 10784827? False Is 138 a factor of 618433? False Is 25427196 a multiple of 324? True Does 1063 divide 59367487? True Does 956 divide 56897325? False Is 76 a factor of 25490324? True Is 42 a factor of 870337650? True Does 417 divide 424153545? False Is 242 a factor of 460850533? False Is 272 a factor of 3268817120? True Is 509 a factor of 30500191? False Is 17459771 a multiple of 491? False Does 14 divide 41379142? True Is 36273900 a multiple of 1846? True Does 82 divide 125847251? False Is 36927323 a multiple of 7? False Is 38 a factor of 382795798? False Does 23 divide 2824835459? True Is 113 a factor of 1195314? True Is 1016593602 a multiple of 5? False Does 746 divide 218314152? False Does 18 divide 89056818? True Is 13 a factor of 319435116? True Does 144
{ "pile_set_name": "DM Mathematics" }
divide v? False Let w(p) = 28*p**2 - 25*p + 23. Is w(8) a multiple of 17? True Let o be (-2 + 0)*4/2. Let l(n) = -n**3 - 4*n**2 - 3*n + 2. Is l(o) a multiple of 10? False Suppose -2*m - 27 = -5*m. Let b(d) = 0*d**3 - d**3 + m*d**2 + 2*d**3 - 2*d - 2. Is 15 a factor of b(-9)? False Let q = -33 + 36. Suppose -2*f - 5 = q*f, a - 71 = 4*f. Is a a multiple of 18? False Let a be (6/9)/((-16)/6 + 2). Let s = a + 35. Does 8 divide s? False Is 49968/90 + 2/(-10) + -4 a multiple of 29? True Suppose 5*v = 5*r + 10, v = 4*r + 6*v + 44. Is (7329/r)/(-7) - (-3)/2 a multiple of 11? True Let m be ((-4)/6)/(5/(-15)). Suppose -3*w + m = -1. Suppose 193 - w = 4*b. Is b a multiple of 12? True Let k(p) = -p**2 - 19*p + 19. Let w be k(-20). Let z(v) = 90*v**2 + 3*v + 3. Does 15 divide z(w)? True Let y = 100 + -69. Does 31 divide y? True Let k(n) = 15*n**2 + 21*n - 84. Is 2 a factor of k(6)? True Let m(a) be the second derivative of -11*a**3/6 - 3*a**2 + 23*a. Is 12 a factor of m(-6)? True Let t = 8 - -114. Let s = 203 - t. Is 14 a factor of s? False Suppose 4*v - 3708 = -4*n, 117*n - 2785 = -3*v + 112*n. Does 37 divide v? True Let l(p) = -15*p**2 - 8*p + 4. Let c(r) = -r**2 + r + 1. Let j(o) = -3*c(o) - l(o). Is j(2) a multiple of 15? True Is (-6)/(-51) - (-5 - 708/51) a multiple of 19? True Let s(d) = -72*d - 147. Is s(-4) a multiple of 11? False Let y = 41 - -5. Let r = 190 - y. Is 27 a factor of r? False Let c be (1/(-1)*-4)/(-31 + 33). Let s be -35*(-5 - (-1 - -1)). Suppose -27 + s = c*o. Is o a multiple of 13? False Suppose 0 = 3*r, -4*r - 705 = -4*m + 1627. Does 10 divide m? False Let x(y) = y**3 + 9*y**2 + 7*y - 2. Let f(p) = p**3 - 3*p**2 - 6*p + 2. Let c be f(4). Is 32 a factor of x(c)? True Let x = -38 - -37. Does 11 divide (-185)/(-3 - 2)*(-2)/x? False Let p(a) = -2*a**3 + 19*a**2 - 6*a + 7. Let k be p(9). Let n = 56 - k. Is 11 a factor of n? True Suppose -3*h - 4*d - 7 = -2*h, -4*h = 2*d - 14. Suppose 8*x - 435 = 4*x - 5*w, 0 = h*w - 15. Is x a multiple of 21? True Does 40 divide (-3)/(-4) + 4571/28? False Is (-8*(-9 + 13))/(2/(-6)) a multiple of 12? True Let d = 1473 + -708. Is 20 a factor of d? False Suppose 0 = 5*p + 4*r + 33, 18 = -4*p - 4*r - 6. Let z(u) = -3*u + 29. Is z(p) a multiple of 12? False Does 30 divide (3/(-2))/(17/(-25976)*12)? False Let g(r) = -r**2 - 14*r + 552. Is 24 a factor of g(0)? True Suppose -10*z + 8*z + 1948 = 3*a, -3*a + 3*z = -1953. Is 25 a factor of a? True Let w(t) = 14*t + 36. Is 18 a factor of w(14)? False Let f = 32 + -32. Suppose -o + 5*y = -43, f*o + 5*o - 5*y = 195. Does 6 divide o? False Let q = 570 - 512. Does 37 divide q? False Let m(h) be the second derivative of -h**5/20 - h**4/12 + 5*h**3/6 + 11*h. Is 6 a factor of m(-4)? False Let q = 17 - -45. Let w = q + -19. Does 12 divide 30/15*w/2? False Let q(a) be the first derivative of -13/2*a**2 + 17*a + 1/3*a**3 + 3. Is 5 a factor of q(12)? True Let h be (-57)/(-2)*16/12. Let i be 1 - 4 - -4 - -62. Suppose 3*t - 5*m = i, -3*t - h = -4*t - 4*m. Is t a multiple of 13? True Let a = 1875 + -1759. Does 29 divide a? True Suppose 2*a + 2 = -d - d, 0 = 3*d + 2*a - 1. Let y(k) = -k**2 - 12. Let p(c) = -2*c**2 - c - 24. Let n(l) = d*p(l) - 7*y(l). Does 4 divide n(5)? False Let g = -10 + 11. Let b be g/(2 - (-10)/(-6)). Let m(i) = 2*i**2 + 3*i + 4. Does 19 divide m(b)? False Let f(p) = 5*p**2 - 19*p + 9. Does 27 divide f(9)? True Suppose -2*u + 5*u - 4*r = 15, r + 20 = 4*u. Suppose -h + 2*l + 32 = -0, 5*h - 170 = u*l. Is h a multiple of 17? False Is 81/(((-10)/4)/(-5)) a multiple of 41? False Is 3 a factor of -27 + 61 - (1 - 3)? True Suppose 3*b = -4*a + 180, -a = -b - b + 120. Is b a multiple of 2? True Suppose -24 + 376 = 16*q. Is q even? True Let x(i) be the first derivative of i**2/2 + 7*i + 36. Let m(w) = -w**2 - 8*w - 5. Let b be m(-8). Is x(b) a multiple of 2? True Suppose 4*s + 5 = h + 17, -5*h = 20. Let a be s/3 - (-2466)/27. Suppose -2 + 0 = 2*b, 3*n + 4*b - a = 0. Is n a multiple of 8? True Suppose 4 = n - 4. Let u(y) = -2*y - 8. Let t be u(n). Let a = -13 - t. Is a a multiple of 8? False Suppose 0 = 2*q + 5*q - 3010. Is 43 a factor of q? True Let r be (2 + -7)*(-3 - -2). Suppose -a + 0*c = -3*c - 33, r*c + 125 = 5*a. Suppose -x + 21 + a = 0. Does 25 divide x? False Suppose 0 = -w - 5*n + 349, -4*w + n + 1823 = w. Does 14 divide w? True Let o = 2540 - 1779. Is 15 a factor of o? False Let m be -6*((-3 - -4) + -2). Suppose m*x - 26 = -176. Let p = x - -36. Is p a multiple of 4? False Let g = 6 + 119. Let s(c) = 9*c - 30. Let z be s(13). Let m = g - z. Does 19 divide m? True Let o = -13 + 16. Suppose 2*r + 3*r - 3*q - 226 = 0, 136 = o*r - 2*q. Suppose f = -f + r. Is 3 a factor of f? False Let y(u) = -u**2 + 7*u + 32. Let r be y(10). Suppose 3*p - r*o - 254 = 0, -p - 3*o + 68 = -7*o. Does 11 divide p? True Let h = 1138 - -92. Is h a multiple of 18? False Suppose 0 = 4*g - 2*h - 56, 51 = 3*g + 2*h + h. Is 64/(-60)*-33 + (-3)/g a multiple of 7? True Suppose 0 = -8*l - 11 + 35. Suppose -16 = -l*o + 8. Is o a multiple of 2? True Let g(w) = -3*w - 12. Let l be g(-5). Suppose 3 = 3*a - l. Suppose 2*q + 68 = 4*d, -4*d + 2*d = -a*q - 36. Is d a multiple of 4? True Let u(y) = 4*y**3 - 35*y**2 + 19*y + 26. Is u(15) a multiple of 53? True Let v(k) = -k**2 + 9*k - 8. Let j = 9 + 1. Let x be v(j). Let r = x - -29. Does 6 divide r? False Let j = 216 + -128. Let y = 140 - j. Suppose 0 = -3*s + y + 86. Is 23 a factor of s? True Suppose 0*i - i + 11 = 3*j, j + 2*i - 2 = 0. Let q(c) = 5*c + 20. Does 8 divide q(j)? True Let q = -853 + 1906. Is q a multiple of 20? False Let d(m) = -2*m**3 - 13*m**2 - 20*m - 7. Does 2 divide d(-6)? False Let p(m) = 17*m + 3. Let i(h) = -33*h - 5. Let t(x) = 4*i(x) + 7*p(x). Let g(f) = f**3 - 14*f**2 - 31*f - 17. Let n be g(16). Is 4 a factor of t(n)? False Does 20 divide ((1 - 2) + 351)*(-4)/(-10)? True Let b(p) = p**3 + 9*p**2 - 9*p + 13. Let x be b(-10). Suppose 5*t - 4 = 4*n + 348, -127 = -2*t - x*n. Is 15 a factor of t? False Suppose 0 = -39*m + 4*m + 77595. Does 9 divide m? False Suppose 5*x = x - 4*v - 4, -v = -2*x + 4. Suppose -y + x = -1. Suppose -33 - 41 = -y*t. Is 12 a factor of t? False Suppose 3*f + 2*q + 22 = 0, 3*f + 4*q + 12 = -2. Let d(p) = 2*p + 0*p - 5*p. Is d(f) a multiple of 10? True Suppose 6 = 3*h - 27. Suppose m - h - 17 = 0. Is 28 a factor of m? True Suppose j + 4*j = 3*g - 39, 52 = 4*g - j. Let u(k) = k**2 - 13*k - 10. Let q be u(g). Let s(y) = y + 15. Is s(q) a multiple of 5? True Let f(h) = 17*h**3 + 2*h**2 - 4*h. Does 11 divide f(1)? False Suppose -2*i = -5*r - 1806, 925 = 2*i - i + 3*r. Does 11 divide i? True Suppose 37*a = -13*a + 12800. Is a a multiple of 13? False Let x(i) = 269*i**2 + 2*i - 7. Is 20 a factor of x(3)? True Let x = -687 - -684. Let v(w) = -23*w + 9. Let u(n) = n. Let i(a) = -2*u(a) + v(a). Is i(x) a multiple of 21? True Let m = 1909 + 769. Is 26 a factor of m? True Let m = 34 + -22. Let y be 16/m*27/12. Is y/(-18) - (-290)/12 a multiple of 8? True Suppose -g + 160 + 1139 = -5*u, -4*u - 2568 = -2*g. Let t = g - 824. Is t a multiple of 15? True Suppose 2252 + 2305 = 31*r. Is r a multiple of 11? False Let y(s) = 2*s**2 - 9*s - 9. Let x be y(7). Suppose 2*j - 3*j + x = 0. Does 2 divide j/3 - (-2)/(-3)? True Let h be (2 + (-5)/2)*-2. Suppose 2*n - 3 = -1. Let b = n + h. Is b a multiple of 2? True Let t = -102 - -396. Is t a multiple of 7? True Let d = 708 + -621. Let i be -2 - -21 - (-2 + 2). Let c = d - i. Is c a multiple of 17? True Let o(j) = -j. Let x be o(-5). Let u(r) = r - 8. Let k be u(x). Is (44/k)/(2/(-3)) a multiple of 10? False Let u(t) = -4*t - 16. Let i be u(-7). Suppose i*c - 1 = 179. Is 2 a factor of c? False Suppose 32 = 3*o - 31. Is 21 a factor of o? True Let i(q) = 17*q + 13. Let w(o) = -17*o - 12. Let f(p) = 4*i(p) + 3*w(p). Is f(6) a multiple of 8? False Suppose 0 = 2*b - 7*b - 4*w + 393, -2*w = -2*b + 150. Is b a multiple of 5? False Let o(i) = -30*i**3 - 5*i**2 - 3*i + 2. Let f be o(-2). Does 17 divide (4 - 7 - -2)/((-2)/f)? False Suppose -8*h - 1152 = -11*h. Suppose -3*w + 249 = 5*j, w - 2*j - h = -4*w. Is 13 a factor of w? True Let s(f) = 17*f**3 + 4*f**2 - f - 6. Does 13 divide s(2)? False Suppose 0 = -15*h + 4*h + 3454. Suppose 2*k = -4*x + h, 3*x + x = 3*k + 329. Is 16 a factor of
{ "pile_set_name": "DM Mathematics" }
x(l) wrt l? 30 Let i(z) be the second derivative of 9*z**8/28 + 2*z**6/15 - z**4/6 - 249*z**2/2 - 3*z - 1. Find the third derivative of i(k) wrt k. 2160*k**3 + 96*k Let w = 38 + -33. Find the second derivative of 1101*o**w - 1079*o**5 + 6*o + 8*o + 7*o wrt o. 440*o**3 Let x(z) be the second derivative of z**7/70 + 29*z**3/6 - z**2/2 - 5*z - 7. Let n(t) be the first derivative of x(t). Differentiate n(h) with respect to h. 12*h**3 Let y(o) = -17*o**3 + 8*o + 15. Suppose -3*b + 8 = -1. Let w(r) = -r + 4*r + 2*r**b + 0*r - 8*r**3 + 5. Let p(t) = -8*w(t) + 3*y(t). Differentiate p(l) wrt l. -9*l**2 Find the third derivative of -5*w**2 + 151*w**3 + 21*w**3 + 168*w**3 - 62*w**3 + 54*w**3 - 35 wrt w. 1992 Let f be -2*1/((-3)/9). Let s(o) = -f - 8*o - 3*o + 0 + o. Let q(t) = -9*t - 5. Let n(c) = -5*q(c) + 4*s(c). Differentiate n(l) wrt l. 5 Let z(n) = n**2 + 22*n - 43. Let o be z(-24). Find the first derivative of -15*v + o*v - 8*v**2 + 10*v + 1 wrt v. -16*v Find the third derivative of -2*u**2 - 11*u**4 - 5*u**2 + u**4 + 12 - 31*u**5 + 10*u**4 - 4*u**3 wrt u. -1860*u**2 - 24 Let o(d) be the first derivative of 31*d**3/6 + 39*d**2/2 - 15*d + 32. Let f(w) be the first derivative of o(w). What is the derivative of f(g) wrt g? 31 Let t be (15*1)/((-45)/(-30)). Let m = 13 - t. Find the second derivative of -11*l**2 - l + m*l**2 + 3*l wrt l. -16 Let t(s) = s**2 - 16*s + 5 + 8*s + 0*s + 7*s. Let m be t(-4). Find the third derivative of -m + 8*n**4 + 25 + 2*n**2 wrt n. 192*n Let o(n) be the first derivative of -3 + 0*n**3 + 0*n - 19/2*n**2 - 5/2*n**4. Find the second derivative of o(d) wrt d. -60*d Let s(p) be the third derivative of 28*p**6/15 - p**5/60 + 7*p**3/3 - 251*p**2. Find the third derivative of s(q) wrt q. 1344 Let r(u) be the second derivative of u**2 - 2*u + 5/6*u**4 + 0 + 0*u**3. Differentiate r(o) wrt o. 20*o What is the third derivative of -10*l**5 + 104*l**2 - 186*l**2 + 104*l**2 + 6*l**4 wrt l? -600*l**2 + 144*l Find the first derivative of -70 + 58*g**3 - 117 + 98*g**3 + 28 + 38*g**3 wrt g. 582*g**2 Suppose 20*t - 23*t + 15 = 0. Find the second derivative of -6*b - t*b + b - 11*b**5 wrt b. -220*b**3 Let y(j) be the second derivative of -42 - 3/20*j**5 + 2*j - 11/2*j**2 + 0*j**3 + 1/6*j**4. What is the first derivative of y(u) wrt u? -9*u**2 + 4*u Let m be (4/3)/(7/147). Differentiate -27 + 10*q + 11 + m wrt q. 10 Let p be (0 - 2/(-3)) + (-4)/(-3). Let i(t) be the first derivative of 2 + 0*t**p + t - 1/5*t**5 + 0*t**4 + 0*t**3. What is the derivative of i(a) wrt a? -4*a**3 Suppose -3*a = 4*u + 4, -4*u = -2*a + 6*a. Suppose -2*m + a*v + 24 = 0, -2*m - 5*v = 28 - 7. Find the second derivative of 3*i + 3 + 0*i**m + 4*i**2 - 3 wrt i. 8 Let v(d) be the second derivative of -193*d**6/30 + d**3/6 - 53*d**2 + 2*d + 14. What is the second derivative of v(m) wrt m? -2316*m**2 Differentiate -114*o**4 + 66 - 34 - 36 wrt o. -456*o**3 Let q(k) be the second derivative of -167*k**5/20 - 119*k**2/2 + 75*k. Differentiate q(f) with respect to f. -501*f**2 Let v(c) = -c**3 - c**2 - c + 2. Let q(b) = 145*b**3 - b**2 - 4*b + 22. Let i(m) = -q(m) + v(m). What is the second derivative of i(d) wrt d? -876*d Suppose -28 = -k - k - 5*z, 3*k + 2*z = 20. What is the derivative of -5 + k*o**3 + 3*o**3 - 3 wrt o? 21*o**2 What is the second derivative of 14868*k - 14870*k - k**3 + 23*k**2 + 6*k**2 - 91 wrt k? -6*k + 58 Suppose -19 = -14*j + 23. Find the second derivative of 27*h**3 - 17*h**j - 12*h**3 - 14*h + 19*h**5 - 4*h wrt h. 380*h**3 - 12*h Let t(u) be the third derivative of 0*u + 0 + 0*u**5 + 7/60*u**6 - 5/12*u**4 - 15*u**2 + 0*u**3. Find the second derivative of t(o) wrt o. 84*o Let i(y) be the first derivative of 152*y**5/5 - y**2/2 + 71*y - 228. What is the second derivative of i(p) wrt p? 1824*p**2 What is the derivative of -56*w - 95*w**2 + 54*w + 0*w + 534 wrt w? -190*w - 2 Let x(b) = b**2 - 3*b + 1. Let u(a) = -413*a**2 - a + 40. Let v(d) = u(d) - 2*x(d). What is the second derivative of v(j) wrt j? -830 Let z(p) = 6*p**2 - 12*p + 2. Let q be z(2). Suppose 12 = d + 2*d. What is the third derivative of -4*m**q - 9*m**d + 5*m + 2*m**4 - 5*m wrt m? -168*m Suppose 5*k + 10*k = 45. Differentiate 27*n**k + 14 - 14 - 20 with respect to n. 81*n**2 Let g(l) = l**3. Let t(u) = 18*u**3 - 5*u - 8. Let z be ((-16)/(-12) + 2)/(12/(-18)). Let c(h) = z*g(h) + t(h). Find the second derivative of c(o) wrt o. 78*o Let p(v) = v**3 - 3*v**2 - 2*v + 2. Let f be p(4). Suppose -1 = -c + i, -c - 2*i + f = -3. Find the second derivative of -8*l**c + 13*l**5 - 9*l**5 - 2*l wrt l. -80*l**3 Suppose 25 - 4 = -3*o. Let i be (-4)/14 - 16/o. What is the first derivative of 3 - 11*y + 11*y + y**i wrt y? 2*y Let g(d) be the third derivative of d**8/168 - d**7/105 + d**4/24 - 3*d**3/2 + 2*d**2 - 81. What is the second derivative of g(p) wrt p? 40*p**3 - 24*p**2 Let w = -5 + 7. Let n be (7 - -4 - w) + 3. Find the third derivative of -7*d**5 + n*d**2 + 13*d**2 - 15*d**2 wrt d. -420*d**2 Let s(q) = -35*q**4 + 20. Let p(i) = 34*i**4 - 21. Let c be (0 - (-6)/4)/(102/340). Let a(h) = c*p(h) + 4*s(h). What is the derivative of a(t) wrt t? 120*t**3 Let c(k) be the second derivative of 347*k**6/30 + k**3/3 - 317*k**2/2 + 91*k. Find the second derivative of c(v) wrt v. 4164*v**2 Let o(w) be the first derivative of w**6/6 - 8*w**4 + w**3 - 31*w**2/2 + 216. What is the third derivative of o(p) wrt p? 60*p**2 - 192 Suppose 5*x - 12 - 163 = 0. Suppose 3*d + 4*z = x, 0*d + 3*d - 4*z = -5. What is the first derivative of -3*i + 1 - d - 4*i wrt i? -7 Let t(b) be the first derivative of 2*b**5/5 - 463*b**4/4 - 178*b**3 + b**2/2 + 243. What is the third derivative of t(k) wrt k? 48*k - 2778 Let x be (1152/(-14))/(-6) + (-4)/(-14). What is the derivative of 3 - 23 - x*k**2 - 1 + 4 wrt k? -28*k Let t(c) = -10*c - 665. Let y(g) = 14*g + 997. Let d(s) = -8*t(s) - 5*y(s). Find the first derivative of d(q) wrt q. 10 Suppose 1 = -3*g - l + 10, -3*g + 3*l - 3 = 0. What is the third derivative of -16 + 6*i**g + 16 + 4*i**3 + i**3 wrt i? 30 What is the derivative of 145 + 31*p + 50*p + p**3 - 2*p**3 + 285 + 260 wrt p? -3*p**2 + 81 Let b(a) = -190*a**4 + 4*a**3 + 4*a**2 + 8*a - 210. Let n(t) = 191*t**4 - 5*t**3 - 5*t**2 - 10*t + 209. Let c(y) = -5*b(y) - 4*n(y). Differentiate c(u) wrt u. 744*u**3 Let a(s) = 43*s**3 + 2*s**2 - 2*s + 171. Let h(u) = u**3 + u**2 - u - 1. Let v(m) = a(m) - 2*h(m). Differentiate v(f) with respect to f. 123*f**2 Let x(y) = -2*y**3 - 3*y**2 + 16*y + 2. Let t(n) = 8*n**3 + 16*n**2 - 80*n - 8. Let a(p) = -3*t(p) - 16*x(p). Find the first derivative of a(v) wrt v. 24*v**2 - 16 Let g(u) = u**3 - 3*u**2 + 1. Let a be g(3). Let n(z) = z**3 - z + 1. Let j be n(1). Differentiate 3 - 6 - f**4 - j + a wrt f. -4*f**3 Let i(y) be the second derivative of 4*y**6/15 + 3*y**5/20 + 18*y**3 - 21*y + 2. What is the second derivative of i(c) wrt c? 96*c**2 + 18*c Let d(g) be the second derivative of 5*g**4/6 + 13*g**3/6 - 219*g**2/2 + 96*g - 2. Differentiate d(i) with respect to i. 20*i + 13 Let y(l) be the third derivative of 45*l**5/4 + 3*l**4/8 + 5*l**3 + 199*l**2 - l. What is the second derivative of y(q) wrt q? 1350 Let l(z) = z + 7. Let r = 9 + -14. Let p be l(r). What is the third derivative of 126*x**4 + 7*x**p - 126*x**4 + 4*x**6 wrt x? 480*x**3 What is the derivative of 6*f**3 - 26*f - 135 + 26*f + 140*f**3 + 12*f**3 wrt f? 474*f**2 Let b(y) be the first derivative of -13 + 12/5*y**5 + 0*y**4 + 15/2*y**2 + 0*y + 0*y**3. Find the second derivative of b(f) wrt f. 144*f**2 Let t(c) = 15*c**3 - 6*c**2 + 4*c + 60. Let m(v) = 44*v**3 - 17*v**2 + 11*v + 181. Let n(d) = 6*m(d) - 17*t(d). Differentiate n(y) wrt y. 27*y**2 - 2 Find the third derivative of -b**5 - b**2 - b**2 - 9 - 11*b**4 + 2*b - 2*b + 15*b**2 wrt b. -60*b**2 - 264*b Let v(q) = -245*q**3 - 14*q**2 + 83*q - 12. Let i(m) = 123*m**3 + 8*m**2 - 42*m + 7. Let b(r) = 7*i(r) + 4*v(r). Find the second derivative of b(j) wrt j. -714*j Let y be 13 - 4/8*0. Find the second derivative of y*a**4 - 3*a**4 + 13*a + 6*a wrt a. 120*a**2 Find the third derivative of -27*l - 81*l**3 + 69*l - 9*l**2 - 26*l - 26*l wrt l. -486 Suppose 0 = 2*s - 4*k, -5*k + 1 = 4*s - 12. Let g be 5/2 - (-1)/(-2). Find the third derivative of -10*u**s + g*u**3 + 7*u**2 + 4*u**3 wrt
{ "pile_set_name": "DM Mathematics" }
mber? True Is 23707 a composite number? True Is 99319 a prime number? False Is 151591 prime? False Is 1262 a composite number? True Is 30631 a prime number? True Is 53855 a composite number? True Is 9977 prime? False Is 1178833 a composite number? False Is 2317 composite? True Is 4409 a composite number? False Is 92135 a prime number? False Is 549203 prime? True Is 212929 prime? False Is 2287 composite? False Is 25895 composite? True Is 11311 composite? False Is 74593 prime? False Is 109073 a composite number? False Is 51449 composite? False Is 300085 a composite number? True Is 871337 composite? False Is 1656517 prime? True Is 46829 a prime number? True Is 21167 composite? True Is 210139 composite? False Is 2849831 composite? False Is 415379 composite? False Is 39439 a prime number? True Is 107981 a composite number? False Is 140473 composite? False Is 103769 composite? False Is 49307 a composite number? False Is 285049 a prime number? True Is 33058 a prime number? False Is 165619 prime? False Is 1828721 a prime number? False Is 425471 a prime number? True Is 31829 a prime number? False Is 10007 prime? True Is 1166903 composite? False Is 8039 composite? False Is 19707 prime? False Is 103469 a composite number? True Is 3863 a prime number? True Is 629 a composite number? True Is 142529 prime? True Is 136159 prime? False Is 36229 prime? True Is 14846839 a composite number? True Is 103507 a composite number? True Is 5847 a prime number? False Is 642647 a prime number? False Is 75913 a composite number? False Is 4385 composite? True Is 23893 a composite number? False Is 2819 prime? True Is 101293 composite? False Is 75967 composite? False Is 17377 a composite number? False Is 25867 composite? False Is 24757 composite? True Is 64243 composite? True Is 25057 a prime number? True Is 9511 a composite number? False Is 321743 a prime number? True Is 414949 prime? True Is 107441 composite? False Is 382579 composite? False Is 10717 a prime number? False Is 4123583 a composite number? False Is 12799 prime? True Is 14371 composite? True Is 48647 prime? True Is 5219 composite? True Is 446971 composite? True Is 18359 a prime number? False Is 97285 a composite number? True Is 2323 prime? False Is 37421 a composite number? True Is 14785 composite? True Is 46073 composite? False Is 7183 a prime number? False Is 199159 a composite number? True Is 79669 composite? False Is 663371 composite? False Is 45179 a composite number? False Is 628169 a composite number? True Is 3644411 a composite number? False Is 601127 a prime number? True Is 1175927 prime? True Is 64667 a prime number? True Is 228197 a composite number? False Is 14879 prime? True Is 343763 composite? True Is 25937 a composite number? True Is 31522 composite? True Is 2339197 composite? True Is 380363 a composite number? False Is 64473 prime? False Is 42061 a composite number? False Is 40253 a prime number? True Is 4751 a prime number? True Is 1156421 a prime number? False Is 57779 a composite number? True Is 97391 a prime number? False Is 32777 composite? True Is 121897 a composite number? True Is 649113 a prime number? False Is 7022 a composite number? True Is 715909 prime? True Is 4421 a prime number? True Is 48017 a composite number? False Is 144817 a prime number? True Is 1365889 a composite number? True Is 2371 a prime number? True Is 152179 a prime number? False Is 610409 prime? True Is 25367 a composite number? False Is 943 composite? True Is 371897 a composite number? False Is 23711 a prime number? False Is 37441 a prime number? True Is 666799 prime? False Is 132179 a prime number? False Is 3223 prime? False Is 7255 a composite number? True Is 107297 a composite number? True Is 7063 a composite number? True Is 13291 a prime number? True Is 48437 prime? True Is 2153 a composite number? False Is 230647 prime? True Is 87167 prime? False Is 199105 a composite number? True Is 3511 composite? False Is 366161 prime? True Is 339943 prime? True Is 43541 a prime number? True Is 3967 composite? False Is 19541 a composite number? False Is 120643 a prime number? False Is 234847 a composite number? False Is 3505 prime? False Is 8461 composite? False Is 142657 composite? False Is 26131 prime? False Is 6289 prime? False Is 33253 a prime number? False Is 223 a composite number? False Is 59197 composite? False Is 12599 prime? False Is 683 prime? True Is 327463 composite? False Is 29663 composite? False Is 23417 a composite number? False Is 7115 prime? False Is 1757185 a prime number? False Is 69949 a prime number? False Is 154361 composite? True Is 5306419 a composite number? False Is 32087 prime? False Is 5737 composite? False Is 8095 prime? False Is 44351 a prime number? True Is 13942 composite? True Is 232003 a composite number? False Is 37837 a prime number? False Is 1244591 a composite number? False Is 228485 prime? False Is 18607 prime? False Is 67307 a prime number? True Is 233683 prime? True Is 131443 prime? False Is 38539 composite? True Is 415307 composite? True Is 211 composite? False Is 57457 a composite number? False Is 7401 a composite number? True Is 2631 composite? True Is 13901 a prime number? True Is 20681 a prime number? True Is 510481 a prime number? True Is 42467 a prime number? True Is 236653 composite? False Is 10643 a composite number? True Is 13443 a composite number? True Is 457967 prime? False Is 160427 prime? False Is 255499 composite? False Is 44146 a prime number? False Is 655 a prime number? False Is 33398 prime? False Is 127207 a composite number? False Is 1654921 composite? False Is 3629 composite? True Is 103561 composite? False Is 405781 a prime number? True Is 3190853 a prime number? True Is 1128689 a composite number? True Is 455467 a composite number? True Is 456509 composite? True Is 127 composite? False Is 31351 prime? False Is 5683 a prime number? True Is 3353 a prime number? False Is 24667 composite? True Is 664882 composite? True Is 87491 a prime number? True Is 43041 a prime number? False Is 397373 composite? False Is 17453 a prime number? False Is 31937 a composite number? True Is 245501 prime? True Is 34507 a composite number? True Is 235661 a prime number? True Is 229259 composite? True Is 160723 a composite number? False Is 7219 a composite number? False Is 171267 composite? True Is 3137399 a prime number? True Is 7117 a prime number? False Is 40927 a composite number? False Is 445 composite? True Is 2581 prime? False Is 7241 composite? True Is 5314 a prime number? False Is 110401 a prime number? False Is 5791 a composite number? False Is 30029 composite? False Is 299419 composite? False Is 729929 a prime number? False Is 2897087 a prime number? True Is 2831 composite? True Is 5953 composite? False Is 62749 a prime number? False Is 16622 composite? True Is 32773 composite? True Is 50291 composite? False Is 10771 composite? False Is 8321 composite? True Is 16273 a prime number? True Is 25163 a prime number? True Is 88169 prime? True Is 366023 composite? True Is 138493 composite? False Is 450239 a composite number? False Is 41113 a composite number? False Is 6449 a prime number? True Is 1498799 composite? False Is 36973 a composite number? False Is 3907 a prime number? True Is 5261 a prime number? True Is 30867 a prime number? False Is 44839 a prime number? True Is 510529 composite? False Is 485517 a prime number? False Is 1531 a composite number? False Is 52453 a prime number? True Is 33791 composite? False Is 3090491 composite? False Is 42239 prime? True Is 524333 prime? False Is 13441 prime? True Is 161 composite? True Is 127201 composite? True Is 1033817 a composite number? True Is 6287 a composite number? False Is 28211 prime? True Is 237659 prime? False Is 15427 a prime number? True Is 703531 a composite number? False Is 1937 composite? True Is 128859 a prime number? False Is 2051817 prime? False Is 47491 a prime number? True Is 6779 a prime number? True Is 76403 a composite number? False Is 165611 prime? True Is 68893 composite? True Is 52361 a composite number? False Is 1111063 composite? True Is 444833 prime? True Is 319673 prime? True Is 5921 a composite number? True Is 2965 a prime number? False Is 574907 a composite number? False Is 4135831 a prime num
{ "pile_set_name": "DM Mathematics" }
07 prime? True Is 1587805697 composite? False Is 1607693306 a prime number? False Is 336114299 composite? False Is 164910883903 a composite number? False Is 258866206 composite? True Is 65035084549 prime? True Is 81316990219 prime? True Is 664553951 prime? True Is 4649006059 composite? True Is 80215517 composite? False Is 6283239251 a prime number? True Is 376578143 prime? False Is 27171947287 a composite number? True Is 9097734469 prime? False Is 7666871281 composite? True Is 37014594233 a composite number? True Is 9584231851 composite? True Is 1636406153 composite? False Is 14706636853 a prime number? True Is 388810481 a composite number? True Is 366262289 a prime number? True Is 3483301363 prime? True Is 25522002663 prime? False Is 90665099881 a composite number? True Is 663746029 a composite number? True Is 695428057 a prime number? True Is 22581740399 composite? True Is 6279097127 a prime number? True Is 369125807 composite? True Is 9789531437 a composite number? True Is 2630281457 prime? True Is 10832983547 prime? False Is 50743222949 prime? True Is 708995341 composite? True Is 5086021319 prime? True Is 21126563489 prime? True Is 11668826287 composite? False Is 1018453517 a composite number? True Is 608647547 a composite number? False Is 285545167583 a prime number? False Is 100988254981 composite? False Is 26361700129 a prime number? True Is 169386101 prime? True Is 1455655967 a prime number? False Is 1831994261 prime? True Is 3794804729 a prime number? True Is 1740231301 a prime number? False Is 933018043 a prime number? True Is 5784040039 prime? True Is 41359404629 composite? True Is 56352445943 prime? True Is 4229140967 composite? True Is 24637046099 prime? True Is 27463227053 prime? True Is 1148624905 composite? True Is 305403038777 composite? False Is 307484165 a composite number? True Is 6059179993 prime? True Is 21037244999 prime? False Is 35725719517 a prime number? True Is 2289649331 prime? True Is 4847954213 a composite number? False Is 820609781 a prime number? False Is 80776319119 a composite number? False Is 45836944123 a composite number? False Is 4963183831 composite? False Is 185481623 a composite number? False Is 8075097997 a composite number? False Is 5781885287 a composite number? False Is 218307335 composite? True Is 2476475887 a composite number? False Is 1114451197 composite? True Is 437627459 a prime number? True Is 2984261441 a prime number? False Is 17794473391 composite? False Is 2103520441 a composite number? True Is 2285209 a composite number? True Is 170343059 composite? False Is 2516150887 a composite number? True Is 54192812731 a composite number? False Is 5935726219 a composite number? True Is 12908039 a prime number? True Is 1378888381 prime? False Is 317079421 composite? False Is 2719326811 a composite number? False Is 24756815371 a prime number? False Is 10049203357 prime? True Is 48657846599 prime? True Is 3817789991 a composite number? False Is 728236461 a composite number? True Is 162999059 a prime number? True Is 58630691641 a prime number? False Is 2899449689 composite? False Is 1292766127 prime? False Is 215579251 composite? False Is 222460409 a prime number? True Is 1084522141 composite? False Is 76856957147 prime? True Is 4048949461 a composite number? False Is 130584919 composite? False Is 33740487607 prime? False Is 1061153657 a prime number? False Is 580496927 a composite number? False Is 984654001 a prime number? True Is 163992570701 a composite number? False Is 7478297065 composite? True Is 614186257 a composite number? False Is 3216984583 a prime number? True Is 20477404931 composite? True Is 2492714915 a prime number? False Is 1660012303 composite? True Is 881620457 composite? False Is 933094891 composite? True Is 132857243 prime? True Is 5506603 a composite number? True Is 1685499521 a prime number? True Is 7491071557 a prime number? True Is 3649592503 a composite number? False Is 466031861 a prime number? True Is 522627683 prime? True Is 16611352853 a prime number? False Is 7830295937 a composite number? False Is 9016084009 a composite number? True Is 28855052553 prime? False Is 547949177 prime? False Is 3959740529 composite? False Is 106076455559 a prime number? True Is 840395019 a prime number? False Is 13603711 composite? True Is 265852458097 a prime number? True Is 21810172243 a composite number? False Is 12615541 a composite number? False Is 1062653809 prime? False Is 1097077567 prime? False Is 2184826769 a prime number? True Is 58327355677 composite? True Is 260481173 prime? True Is 24440195141 composite? False Is 256380071 a prime number? True Is 5420676214 prime? False Is 727185749 a composite number? False Is 2091912451 composite? False Is 13462289207 prime? True Is 694806754 prime? False Is 5679684809 composite? True Is 241929209 prime? True Is 1797315437 a composite number? True Is 1200611966 prime? False Is 18442333909 prime? False Is 4793032403 a prime number? True Is 73769596861 a prime number? False Is 27280625899 prime? True Is 4042175713 composite? False Is 1413725585 a prime number? False Is 23719534073 a prime number? True Is 5463905659 a composite number? False Is 57139311017 a prime number? True Is 48173303729 a composite number? False Is 2507415019 prime? True Is 1807706429 prime? True Is 2577285943 composite? True Is 373087318 a prime number? False Is 658312829 composite? False Is 1164376511 a prime number? True Is 1128306787 a prime number? True Is 9209336971 a prime number? True Is 10907609903 a composite number? False Is 525091817 prime? False Is 18696584827 prime? False Is 1034738399 a composite number? True Is 713310877 prime? False Is 81744095 a composite number? True Is 11628340637 a prime number? True Is 4582670419 a composite number? False Is 268573153 prime? True Is 6964232269 prime? False Is 90519439 prime? False Is 742765511 a composite number? True Is 2806017937 prime? True Is 4613975463 a composite number? True Is 674499697 a prime number? True Is 9121585439 a prime number? True Is 15934025821 prime? False Is 1657518041 a composite number? False Is 1390797229 a composite number? False Is 2359716559 prime? False Is 3233162689 prime? False Is 2043898435 a prime number? False Is 863884423 a prime number? False Is 32443079693 a composite number? False Is 3592855771 a composite number? True Is 171454034 a prime number? False Is 6102802423 composite? False Is 115400874101 a prime number? False Is 872578153 a composite number? True Is 1432388059 composite? True Is 24615153053 composite? False Is 54196691765 a prime number? False Is 832359169 a prime number? False Is 8639798891 prime? True Is 1357823903 a composite number? False Is 1965510343 a prime number? False Is 254168177 prime? True Is 31686321 prime? False Is 100982260637 prime? False Is 236856677893 a composite number? True Is 1527266549 a prime number? True Is 1267882181 a composite number? False Is 5754913309 composite? False Is 6991837 a composite number? True Is 8209316135 a prime number? False Is 387495547 a prime number? True Is 7068934283 prime? False Is 128192759 a prime number? True Is 138663830651 a composite number? False Is 16795040159 a prime number? False Is 1544151251 a composite number? False Is 2607666443 a prime number? False Is 26616596801 composite? True Is 31447447039 a composite number? False Is 11575153327 prime? False Is 9128846435 a composite number? True Is 755539 a composite number? False Is 21759718731 a prime number? False Is 87324150833 prime? True Is 55498036427 composite? True Is 2383391657 a prime number? True Is 64884977 a composite number? True Is 60343811191 a composite number? True Is 539797621 a prime number? False Is 25843093007 prime? True Is 59704817 a composite number? False Is 685108009 a composite number? False Is 303444629 prime? True Is 27661527589 a prime number? True Is 3331299581 a prime number? True Is 2839998779 a prime number? True Is 8124307241 a composite number? False Is 49600342157 composite? True Is 108805591 a prime number? False Is 17481490679 prime? False Is 463780091 a composite number? True Is 19005220547 prime? False Is 16635244601 a composite number? False Is 338504239 a prime number? True Is 425738713 a prime number? True Is 36130
{ "pile_set_name": "DM Mathematics" }
6/7 = 0. Calculate u. -1, 1, 3 Solve -2*o**3 - 76*o**2 - 138*o + 216 = 0 for o. -36, -3, 1 Determine b so that 15*b**3 - 5*b**2 - 10*b = 0. -2/3, 0, 1 Let -z**2 + 474*z + 952 = 0. Calculate z. -2, 476 Suppose 5*r**4/2 - 45*r**3 + 455*r**2/2 - 405*r + 220 = 0. What is r? 1, 2, 4, 11 Factor 3*r**2 + 75*r - 78. 3*(r - 1)*(r + 26) Suppose -1134*v**2 + 1137*v - 3 = 0. Calculate v. 1/378, 1 Suppose -2*s**4/9 - 24*s**3 + 2*s**2/9 + 24*s = 0. What is s? -108, -1, 0, 1 Find z, given that -2*z**2/13 - 10*z/13 - 12/13 = 0. -3, -2 Factor 3*a**2 - 42*a. 3*a*(a - 14) Solve w**4 + 19*w**3 + 123*w**2 + 305*w + 200 = 0. -8, -5, -1 Factor -2*o**3/3 + 298*o**2/3 + 602*o/3 + 302/3. -2*(o - 151)*(o + 1)**2/3 Let -b**2/2 + 111*b - 220 = 0. Calculate b. 2, 220 Factor b**2/2 - 27*b/2 + 85. (b - 17)*(b - 10)/2 Solve b**2/4 - 467*b/4 - 117 = 0 for b. -1, 468 Determine p, given that 2*p**2 + 3662*p + 3660 = 0. -1830, -1 Solve 6*v**5/7 - 2*v**4/7 - 186*v**3/7 - 118*v**2/7 + 60*v/7 = 0. -5, -1, 0, 1/3, 6 Factor 3*o**3/4 - 3*o**2/4 - 12*o + 12. 3*(o - 4)*(o - 1)*(o + 4)/4 Suppose 2*z**4/7 + 66*z**3/7 - 20*z**2 = 0. What is z? -35, 0, 2 Factor -3*k**5/2 + 15*k**4/2 + 225*k**3 + 1215*k**2 + 5265*k/2 + 4131/2. -3*(k - 17)*(k + 3)**4/2 Let 3*v**3/4 + 15*v**2/4 + 6*v + 3 = 0. What is v? -2, -1 Suppose -2*n**2/3 + 672*n - 169344 = 0. What is n? 504 Determine g so that g**4/4 + g**3 - 7*g**2/4 - 5*g/2 = 0. -5, -1, 0, 2 Factor w**4/4 - 87*w**3/4 - 135*w**2/2. w**2*(w - 90)*(w + 3)/4 Suppose -2*f**5/9 + 8*f**4/9 + 14*f**3/9 - 20*f**2/9 = 0. What is f? -2, 0, 1, 5 Solve -24*h**5 + 536*h**4 + 954*h**3 + 156*h**2 - 286*h - 48 = 0. -1, -1/6, 1/2, 24 Factor 32*h**5/19 - 98*h**4/19 + 6*h**3/19. 2*h**3*(h - 3)*(16*h - 1)/19 Factor 3*x**2 + 282*x + 6627. 3*(x + 47)**2 Factor -2*n**2 - 248*n + 762. -2*(n - 3)*(n + 127) Let 2*s**2 + 228*s + 6498 = 0. What is s? -57 Factor 2*c**3 + 1294*c**2 + 209950*c + 208658. 2*(c + 1)*(c + 323)**2 Factor 2*y**3 - 2082*y**2 + 722454*y - 83563846. 2*(y - 347)**3 Factor -4*d**2/3 - 100*d/3 + 248. -4*(d - 6)*(d + 31)/3 Solve -2*w**5/5 + 242*w**4/5 - 1390*w**3 - 22322*w**2/5 - 22816*w/5 - 7688/5 = 0 for w. -1, 62 Solve -76*p**4 - 8*p**3 + 76*p**2 + 8*p = 0 for p. -1, -2/19, 0, 1 Factor -s**2/6 + s + 9/2. -(s - 9)*(s + 3)/6 Determine h, given that -8*h**5/3 + 20*h**4/3 + 4*h**3/3 - 28*h**2/3 + 4*h/3 + 8/3 = 0. -1, -1/2, 1, 2 Factor -g**3 - 707*g**2 + 1417*g - 709. -(g - 1)**2*(g + 709) Factor w**2/4 + 25*w/4 + 21. (w + 4)*(w + 21)/4 Solve t**4 - 6*t**3 = 0 for t. 0, 6 Factor 25*u**2 + 270*u + 729. (5*u + 27)**2 Factor 3*b**4 + 90*b**3 + 756*b**2 + 1176*b. 3*b*(b + 2)*(b + 14)**2 Find f, given that 3*f**4 - 90*f**3 - 501*f**2 - 828*f - 420 = 0. -2, -1, 35 Factor -5*t**4 - 180*t**3 - 1470*t**2 - 2420*t - 1125. -5*(t + 1)**2*(t + 9)*(t + 25) Let -1809025*q**2 - 8070*q - 9 = 0. Calculate q. -3/1345 Factor v**3/4 + 23*v**2 - 1145*v/4 - 309. (v - 12)*(v + 1)*(v + 103)/4 Factor -2*f**3/19 - 192*f**2/19 + 1206*f/19 - 1836/19. -2*(f - 3)**2*(f + 102)/19 Factor 3*z**3/7 - 390*z**2/7 + 1875*z/7. 3*z*(z - 125)*(z - 5)/7 Determine i, given that -i**4/2 - i**3 + 6*i**2 - 7*i + 5/2 = 0. -5, 1 Determine r so that 14*r**5 + 46*r**4 - 30*r**3 - 166*r**2 - 128*r - 24 = 0. -3, -1, -2/7, 2 What is g in 4*g**5/3 + 46*g**4/3 + 30*g**3 - 250*g**2/3 + 26*g/3 + 28 = 0? -7, -6, -1/2, 1 Factor 2*m**2 - 2*m - 144. 2*(m - 9)*(m + 8) Solve 2*r**2/5 - 82*r/5 + 696/5 = 0 for r. 12, 29 Find k, given that -k**3/3 - 2*k**2/3 + 3*k + 6 = 0. -3, -2, 3 Determine n so that -n**4/9 - 5*n**3/9 + 8*n**2/3 = 0. -8, 0, 3 Let -2*f**4 + 4*f**3 + 26*f**2 - 28*f - 48 = 0. What is f? -3, -1, 2, 4 Solve -3*h**2 + 19644*h - 32157228 = 0 for h. 3274 Find v such that 3*v**3/7 + 2754*v**2/7 + 632043*v/7 = 0. -459, 0 Factor 4*u**2/5 - 11008*u/5 + 7573504/5. 4*(u - 1376)**2/5 Suppose n**5 - 12*n**4 - 79*n**3 - 106*n**2 + 60*n + 136 = 0. What is n? -2, 1, 17 Factor -u**2 + 368*u - 732. -(u - 366)*(u - 2) Factor -v**2/2 - 4073*v - 16589329/2. -(v + 4073)**2/2 Determine j, given that 2*j**3 - 46*j**2/7 - 128*j/7 + 40/7 = 0. -2, 2/7, 5 What is o in -o**3 + 15*o**2 - 12*o - 28 = 0? -1, 2, 14 Factor -2*n**4/3 + 8*n**3/3 + 154*n**2/3. -2*n**2*(n - 11)*(n + 7)/3 Solve -2*z**3/13 + 942*z**2/13 - 8640*z + 25272 = 0 for z. 3, 234 Let 3*b**4 + 39*b**3 + 153*b**2 + 189*b = 0. Calculate b. -7, -3, 0 Solve -3*s**3/2 - 9*s**2 + 111*s/2 - 45 = 0 for s. -10, 1, 3 Factor -4*x**2/7 - 92*x/7 - 24. -4*(x + 2)*(x + 21)/7 Solve -2*b**2/3 + 8*b - 22/3 = 0. 1, 11 Factor -9*a**3 + 1290*a**2 + 863*a + 144. -(a - 144)*(3*a + 1)**2 Solve -w**4/5 + 254*w**3/5 - 15873*w**2/5 - 32512*w/5 - 16384/5 = 0 for w. -1, 128 Factor 3*b**2/5 - 123*b/5 + 342/5. 3*(b - 38)*(b - 3)/5 Factor 8*g**2/9 + 46*g/9 - 4/3. 2*(g + 6)*(4*g - 1)/9 Suppose -z**4/3 - 2*z**3 - 11*z**2/3 - 2*z = 0. Calculate z. -3, -2, -1, 0 Determine l, given that -128*l**5/7 - 96*l**4/7 + 670*l**3/7 - 78*l**2 + 106*l/7 - 6/7 = 0. -3, 1/8, 1 Find t such that -t**4 - 32*t**3 + t**2 + 32*t = 0. -32, -1, 0, 1 Suppose l**5 - 14*l**3 + 12*l**2 + 13*l - 12 = 0. Calculate l. -4, -1, 1, 3 Suppose -4*u**3 + 100*u**2 + 216*u = 0. What is u? -2, 0, 27 Suppose 54*x**2 - 58*x + 4 = 0. Calculate x. 2/27, 1 Suppose 54*a**4/5 + 309*a**3/5 + 78*a**2 + 72*a/5 = 0. Calculate a. -4, -3/2, -2/9, 0 What is c in -c**2 + 27*c + 58 = 0? -2, 29 Let 9*b**4/5 + 1149*b**3/5 + 1893*b**2/5 + 75*b - 378/5 = 0. Calculate b. -126, -1, 1/3 Factor 2*i**3 + 24*i**2 - 512. 2*(i - 4)*(i + 8)**2 Factor 3*c**5/7 - 54*c**4/7 + 51*c**3/7. 3*c**3*(c - 17)*(c - 1)/7 Factor -27*x**3 + 384*x**2 - 435*x + 78. -3*(x - 13)*(x - 1)*(9*x - 2) Solve 15*y**3 - 246*y**2 - 1053*y - 540 = 0 for y. -3, -3/5, 20 Suppose -3*y**5/2 - 2697*y**4/2 - 305091*y**3 - 905856*y**2 - 602112*y = 0. What is y? -448, -2, -1, 0 What is p in p**5 - 5*p**4 - 13*p**3 - 7*p**2 = 0? -1, 0, 7 Factor -j**2 + 413*j/4 + 421/2. -(j + 2)*(4*j - 421)/4 Factor -3*a**4 - 1128*a**3 + 3402*a**2 - 3408*a + 1137. -3*(a - 1)**3*(a + 379) Determine h, given that -h**5 + h**4 + 6*h**3 = 0. -2, 0, 3 Factor q**3 + 88*q**2/3 - 20*q. q*(q + 30)*(3*q - 2)/3 Factor -5*i**5 + 20*i**4 + 60*i**3 + 10*i**2 - 55*i - 30. -5*(i - 6)*(i - 1)*(i + 1)**3 Factor t**3 + 3*t**2 - 4. (t - 1)*(t + 2)**2 Find g such that -5*g**5 + 30*g**3 - 40*g**2 + 15*g = 0. -3, 0, 1 Suppose -2*g**5 + 78*g**4 - 528*g**3 - 4840*g**2 = 0. Calculate g. -5, 0, 22 Factor -j**3 - 2*j**2 + 31*j - 28. -(j - 4)*(j - 1)*(j + 7) Determine h so that 625*h**5 + 32000*h**4 + 97800*h**3 + 87040*h**2 + 30800*h + 3840 = 0. -48, -2, -2/5 Factor 2*z**3/13 - 30*z**2/13 - 68*z/13. 2*z*(z - 17)*(z + 2)/13 Determine s, given that -3*s**5 + 204*s**4 + 210*s**3 - 204*s**2 - 207*s = 0. -1, 0, 1, 69 Factor s**3/5 - 19*s**2/5 + 18*s/5. s*(s - 18)*(s - 1)/5 Factor 4*t**3/5 - 4*t**2/5 - 8*t - 32/5. 4*(t - 4)*(t + 1)*(t + 2)/5 Determine j, given that j**2/9 + 784*j + 1382976 = 0. -3528 Suppose -7*n**5/3 - 670*n**4/3 - 19954*n**3/3 - 187108*n**2/3 - 521479*n/3 + 164738/3 = 0. Calculate n. -41, -7, 2/7 Factor -2*p**2/11 - 18*p/11 + 4. -2*(p - 2)*(p + 11)/11 Factor -a**3/7 - 753*a**2/7 - 20304*a - 141376/7. -(a + 1)*(a + 376)**2/7 Factor -o**3/5 - 23*o**2/5 + 26*o/5 + 48/5. -(o - 2)*(o + 1)*(o + 24)/5 Factor 7*g**2/4 + 177*g/4 + 25/2. (g + 25)*(7*g + 2)/4 Suppose -14*j**3/15 - 26*j**2/3 - 232*j/15 - 56/15 = 0. Calculate j. -7, -2, -2/7 Factor t**4/2 + 1965*t**3/2 + 3927*t**2/2 + 1963*t/2. t*(t + 1)**2*(t + 1963)/2 Factor 2*m**3/5 - 12*m**2/5 - 18*m/5 + 28/5. 2*(m - 7)*(m - 1)*(m + 2)/5 Factor 3*g**4 - 24*g**3 - 9*g**2 + 378*g - 648. 3*(g - 6)*(g - 3)**2*(g + 4) Find z, given that 2*z**3/7 + 1492*z**2/7 + 2978*z/7 + 1488/7 = 0. -744, -1 Determine z so that -20*z**5 + 315*z**4 - 820*z**3 - 3465*z**2 - 810*z = 0. -2, -1/4, 0, 9 Factor 2*x**2/7 + 44*x/7 - 58. 2*(x - 7)*(x + 29)/7 Find r, given that -2*r**4/7 - 460*r**3/7 - 1362*r**2/7 + 8*r/7 + 1816/7 = 0. -227, -2, 1 Factor 3*z**3 - 33*z**2/4. 3*z**2*(4*z - 11)/4 Suppose -v**3 + 4*v**2 + 7*v - 10 = 0. What is v? -2, 1, 5 Factor -d**2/7 - 32*d/7 - 25. -(d + 7)*(d + 25)/7 Factor -5*h**2 - 2770*h - 383645. -5*(h + 277)**2 Factor -j**3/3 - 22*j**2/3 - 140*j/3 - 200/3. -(j + 2)*(j + 10)**2/3 Factor m**3/3 + 91*m**2 + 6517*m + 123823/3. (m + 7)*(m + 133)**2/3 Suppose 4*d**4 - 116*d**3 + 108*d**2 + 116*d - 112
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
+ 5*t, -t + 2*t = f*x for x. 0 Suppose -6*w = -21*w + 60. Solve -3*q + 8 = -q, 0 = -d - w*q + 15 for d. -1 Suppose -4*s = 2*c - 8, s + 5*c = 25 - 23. Solve 3*j - 22 = -j - s*k, -1 = 3*j - 2*k for j. 3 Suppose 5*z - 4*m = 36, -3*z + 4*m = -0*z - 28. Let t(r) = -3*r - 4. Let h be t(-2). Solve 3*d + 3*k + 2 = -z, h*k = -d for d. -4 Let j = -11 + 7. Let w(y) be the first derivative of -y**2/2 + y + 20. Let m be w(j). Solve h - m*f = -h - 11, -5*f + 13 = -h for h. 2 Let q be (1 + -1)/(17 - 16). Solve q*d = 5*d + 2*c - 7, -16 = 4*c for d. 3 Suppose 2*i = -3*v + 19, 10 = 4*i - 6*v + 8. Solve k + 3*m + 14 = 0, 5*m + 7 = -i*k - 13 for k. 1 Suppose 19*o - 21*o = 0. Suppose -2 = -r - o. Solve -4*b + 1 = -b + u, 4*b = 2*u - r for b. 0 Let l be -1*3*5/(-3). Let g(u) = -10*u - 11. Let a be g(-2). Let r(p) = p**3 - 9*p**2 - p + 12. Let i be r(a). Solve -3*w = -i*s + 6, 5*s - l*w - 11 = -w for s. 3 Let a(r) = 5*r - 46. Let h be 6*4/(-6) + 14. Let z be a(h). Suppose -3*i + 21 = -4*w, -i + w + 4 + 2 = 0. Solve z*g - 41 = 2*q + i*q, -q - 2*g = -3 for q. -5 Suppose -12*u = -4*i - 17*u + 6, 2*i = -4*u. Solve -12 = -4*v, -v + 35 = 5*a + i*v for a. 4 Let y(d) = -21*d - 11. Let j be y(-2). Let a = 33 - j. Solve -a*o + 4*o = -2*p + 2, -2*o - 2 = 3*p for p. -4 Let h be (24/(-18))/((-2)/(-15)). Let p(q) = q**3 + 9*q**2 - 11*q - 7. Let k be p(h). Solve -3*s - 5*r + 4 = -10*r, 3*s + k*r + 12 = 0 for s. -2 Let n(s) = -s**3 + 4*s**2 - 8*s + 12. Let v be n(2). Solve 5*r - 4*r = 2*z + 6, -v*z = 3*r + 2 for z. -2 Suppose 22*p = 23*p + k - 7, 3*k = 5*p + 5. Solve 4*b - o - 21 = -b, p*o = -2*b + 18 for b. 5 Suppose -2*g = g + 6. Let o be (3 + -1)/g - -1. Solve 4*j + 16 = o, -3*u + u - j = 4 for u. 0 Let o = -84 + 86. Suppose 3*r = -4*q + 25, -q - o*r + 7 = -3. Solve -x + 5 - 1 = 4*g, q*g = 8 for x. -4 Let i(y) = 2*y**2 + 8*y - 23. Let g be i(-8). Suppose -41 = 4*u - g. Solve 4*n - 5*k + 41 = u, 4*n + 6*k + 6 = 4*k for n. -4 Let b be ((-8)/12)/((-2)/(-6))*-1. Let p(s) = -s**3 + 4*s**2 - 4*s + 3. Let i be p(b). Solve -5*q - 7 = 3*m, -3*m + 8*m - i*q = -23 for m. -4 Suppose d - 17 = 2*h - 7*h, 3*h - 19 = -5*d. Let v(p) = 2*p**2 - 10*p + 12. Let i be v(h). Solve i*s + s = -2*j, 3*j + 5*s - 7 = 0 for j. -1 Let y = 680 - 676. Solve 3*t = 4*g + 2, -5*t + 0*t + y*g = 2 for t. -2 Suppose -s + 27 = 5*i, 0*s + 4*s + 4*i - 28 = 0. Let f(m) = m**3 - 2*m**2 + 2*m - 1. Let r be f(s). Solve 0 = 5*d - r*b - 10, d + 1 - 3 = -b for d. 2 Suppose 0*t + 3*a - 7 = -5*t, 4*t = -a. Let u(q) = 5*q**2 - 1. Let v be u(t). Solve -2*m = -4*m + v*g + 24, 5*m = 4*g + 30 for m. 2 Suppose 4*a = 25*z - 23*z - 30, -5*z + 35 = -2*a. Solve u = 5*f + z - 0, -2*u + 2*f - 6 = 0 for u. -5 Let r(c) = c**3 - 5*c**2 - 4*c + 23. Let z be r(5). Let u be z/27*6 - 12/(-9). Solve 16 = w - 3*m, u*w - 24 = w + 5*m for w. 4 Suppose 3*m + 8*k - 4 = 9*k, -4 = -m + k. Solve 0 = -3*g, -f + 3*g = -m + 3 for f. -3 Let u = -42 + 46. Suppose -46 = u*b - 6*b. Solve -3*x + 2*g + b = 7*g, 0 = x - 3*g + 11 for x. 1 Suppose 7*f - 63 = 14. Let o(c) = -c**2 + c + 3. Let b be o(0). Let d = b - 1. Solve 0 = -5*j - 2*g - f, -d*j + j + 4*g = -11 for j. -1 Let p be 107 - 5/(-5)*9/3. Let s be (-66)/p + 36/10. Solve 3*c - 2*y = -12, y = -2*c - s*c - 20 for c. -4 Let r(g) = 11*g - 14. Let s(t) = -13*t + 13. Let p(x) = -6*r(x) - 5*s(x). Let k be p(-6). Solve 5*m - 20 = m - 4*h, k = 5*m + h for m. 5 Let t(x) = -36*x + 183. Let b be t(5). Solve 5*q + 30 = -b*v, -6 = 2*v + 3*q + 13 for v. -5 Let l(k) = -5*k - 11. Let g be l(-9). Let b = 36 - g. Solve -4*u = -y + 3, u + 7 = y - b*y for y. -5 Let k = -172 - -182. Solve -r + 5*n = k, -3*n = -4*r - 8 + 2 for r. 0 Let d be 7 + ((-2)/(-2))/((-6)/12). Solve 2 + 6 = -3*g + q, -g + d*q - 26 = 0 for g. -1 Let t = -29 - -9. Let o = t + 22. Suppose -3*n = 4*p - 2*n - 45, -4*p + 5*n + 39 = 0. Solve 2*w + 3*g = p, -6*w - 4*g + 20 = -o*w for w. 4 Let v be (1*-2*1)/(-2). Let o(l) = 0*l**3 - 25 + 5*l**3 + 42 - 18 + l. Let z be o(v). Solve 3*g - 2*j = z, -3*g + j = -4*g for g. 1 Suppose 99*h - 240 = 87*h. Solve -4*y - 8 = 6*c - 10*c, -2*y + h = 4*c for c. 4 Let m(c) = -c**3 - 18*c**2 - 14*c + 56. Let n be m(-17). Let w be ((-12)/(-8))/(n/(-4) + 2). Solve 0 = -4*k + 3*v - 3, 3*v - 1 - 2 = w*k for k. 0 Let q = 52 - 47. Suppose -q*x = -0 - 10. Solve -5*o + 5 = 0, -x*p + 13 = 5*o - 0 for p. 4 Suppose 4*y - 5*t = 515, -5*y + y + 519 = -t. Let d = y + -127. Solve 3*s - 27 + 3 = d*g, 9 = 3*s for g. -5 Suppose 4*u + 5*a = 27, -5*u + a - 6 = -6*u. Let q = u - 0. Solve 5*p = g + 20, q*p = 2*g - 2*p + 25 for g. -5 Suppose 6*n - 80 - 88 = 0. Solve -g + 3 = 0, 2*u + 2*u + n = 4*g for u. -4 Let y(v) = v**3 - 7*v**2 - v + 9. Let f be y(7). Suppose -s = -3*k - 2, -3*k + 5*s - 12 = -2. Solve 0*n + n - 5*i - f = k, 0 = -4*n - 2*i + 8 for n. 2 Let v be 42/28 - 258/(-4). Suppose -p = 5*p - v. Solve 3*d = -n - n, 3*n = d - p for d. 2 Suppose -4*b = -3*b. Suppose 2*p - 3*p + 3 = b. Solve -u + c + 3 = -c, -2*u + 13 = p*c for u. 5 Suppose 0 = 2*z - 5 - 1. Suppose -p - 5 = 0, -3*p = -3*w + p + 467. Let h = w + -127. Solve 3*d - i + 3*i - h = 0, z*d + i = 17 for d. 4 Let q be 28/(-10)*(-45)/(-18). Let h be ((-10)/1)/(5 + q). Solve 18 + 2 = h*a - 5*x, -4*a - 4*x = -8 for a. 3 Let a(s) = s + 1. Let c = 27 + -23. Let z be a(c). Solve -2*n + z*u - 10 = -3*n, 0 = 2*n - 4*u - 6 for n. 5 Let s(m) = 5*m + 13. Let y be s(-2). Solve y*p + 0*p - 2*l + 15 = 0, -2*l = 4*p + 20 for p. -5 Suppose -61*q + 62*q - 18 = 0. Solve -4*p = 3*k - 3, 6 + q = 3*p - 5*k for p. 3 Suppose 0 = -5*o + 219 - 94. Let h = o + -21. Suppose -4*l + 7 = f, 0*l + 9 = h*l - f. Solve 4*g + 4 = 2*w, l*w + 2*w - 15 = g for g. 1 Suppose 2*j + 22 = 2*h, 5*h - 7*j - 79 = -8*j. Let b = 35 - 22. Let s = h - b. Solve -3*f = -r + 6, 0*r + 9 = s*f - 5*r for f. -3 Suppose 3*a + 9 = z, 2*z + a + 14 = 6*z. Suppose 5*p - z*p = 0. Suppose -2*b + 0 = -4. Solve -4*n + 16 = -2*v, p = 3*n + b*n - 4*v - 26 for n. 2 Suppose l + 58 = 30*l. Solve 2*j - h = -2*h + 14, -l*j = -2*h - 2 for j. 5 Suppose 0 = -2*d - n - 65, n - 95 = -d + 4*d. Let j = -27 - d. Solve -j*h = -2*i - 24, -3*i + 2 = 3*h + 2*i for h. 4 Let b be 57/9 + 4/6. Suppose 0 = -3*m - r, 2*m + 0*m + 3*r = -b. Suppose -5*h + 10*h = 0. Solve -4*w - 3*i = 14, 0 = -w - 3*i + m - h for w. -5 Let t be (7 - 8)*(59 - 2)/(-3). Suppose 0 = -6*y + 47 + t. Suppose 4*r + 0*r - 16 = 0. Solve -3*q + 25 = -s - r*s, -3*q = 2*s - y for s. -2 Suppose 0 = 26*p - 30*p - 268. Let s = -65 - p. Solve s*y = -0*x + x - 1, 0 = -y - 5*x - 6 for y. -1 Let d be 14/(((-4)/1)/(-8)). Let q = -23 + d. Solve k + 2*b + b + 15 = 0, 0 = -q*k - 5*b - 35 for k. -3 Let d(b) = b**2 - 2*b. Let w be d(3). Let z be (-10)/30*-1*84. Solve n - 9 = -5*j - w, -4*j + z = -5*n for n. -4 Suppose 4*q = -2*j - 48, 5*q - 3*j + 53 = -7. Let g be q/(-24)*(-1 - -1). Suppose 15 + 18 = 3*p. Solve -p = 2*c + w, 3*c = -g*w + 4*w - 11 for c. -5 Let c be (-5 - 51/(-9))/(4/114). Solve -3*j = 4*g + c, j + 3*g = 2*j - 11 for j. -1 Let d(z) be the first derivative of -z**4/4 - z**3 + 5*z**2/2 + 6*z + 7. Let f be d(-4). Solve -c = -f*v - 2 - 10, -2*v - 4*c = -8 for v. -4 Suppose -3 + 27 = 3*k. Let y(j) = 2*j**2 + 32*j - 26. Let w be y(-17). Solve -w = -4*r - 4*o, -r + 6*r + k = 4*o for r. 0 Suppose -2*s + 2 = 4*m, -2*m - 6*s = -2*s - 4. Suppose 5*g + 5*y - 180 = 0, m = -5*g - 0*y + 4*y + 153. Solve -4*t - 5*k + 10 = 0, -8*k - g = -5*t - 4*k for t. 5 Let v = 8 + -27. Let j = v + 19. Suppose 5*p - 2*g - g - 5 = j, -2*p - 3*g + 23 = 0. Solve x = 2*b + p, 6*x - 2*x - 10 = 2*b for b. -1 Let s = 3 - 14. Let i = s - -14. Suppose v + k - 6*k = 8, -i*k = v. Solve -3*r = 3*m - 0*m - v, 8 = 4*m for r. -1 Let m = 310 - 308. Solve 0 = 2*z + 4, 3*z = m*r - z for r. -4 Suppose 0 = -65*j + 63*j - 114. Let b be j/(-11) + (-22)/121. Solve 0 = -2*i - b*y + 17, -15 = 4*i + y - 4 for i. -4 Suppose 3*l + 4 = 5*l. Suppose 3*d - 3 = -b + l, 0 = d. Suppose -2*u + 4*t = 10, 3*u + 2*t - 4 = b. Solve 2*i - 3*w = u, 4*w + 5 = i + 2 for i. -1 Suppose -d - 94 = 2*d - 4*t, d + t = -43. Let y = -30 - d. Solve 4*n - 2*p - 2*p - y = 0, -p + 1 = 2*n for n. 1 Suppose -4*b + 7 = -9, 2*u + 24 = 5*b. Let p be 2*(2 + 1/u). Solve p*r + 0*a = -a - 13, 11 = -r + 3*a for r. -5 Suppose 5*w - 14 = 2*l, -3*l + 7 = 13. Solve 2*k = w*t, t = -5*k - 4*t - 40 for k. -
{ "pile_set_name": "DM Mathematics" }
2*a**4 + 0*a**4 - a**5 - a. -a*(a - 1)**3*(a + 1) Let g be (-602)/924 - 25/(-30). Suppose 4/11 - 2/11*s**3 - 4/11*s**2 + g*s = 0. What is s? -2, -1, 1 Let p be (-3)/15*7/(-126). Let y(g) be the third derivative of 0*g**3 + 0*g - g**2 + 0 - p*g**5 - 1/36*g**4. Let y(w) = 0. Calculate w. -1, 0 Let y(q) = -q + 11. Let w be y(7). Let f be 1/((12/9)/w). Suppose -62/9*n**2 + 10*n**4 - 52/3*n**f + 8/3*n + 8/9 = 0. Calculate n. -1/3, 2/5, 2 Let q be (12/14)/((-35)/(-49)). Solve -2/5 + q*f**4 + 4/5*f**3 - 4/5*f**2 - 6/5*f + 2/5*f**5 = 0 for f. -1, 1 Let p be (1/3)/(10/15). Let q(b) be the second derivative of 0*b**3 - 1/80*b**5 - 1/16*b**4 + b + p*b**2 + 0. Factor q(s). -(s - 1)*(s + 2)**2/4 Let i(p) be the second derivative of p**8/560 + p**7/140 + p**6/120 + 5*p**3/6 + 3*p. Let n(h) be the second derivative of i(h). Suppose n(y) = 0. Calculate y. -1, 0 Let y(w) = w**3 - w**2 - w + 230. Let x be y(0). Let -62*v**5 + 126*v**2 - 88*v**5 + 5*v**3 - x*v**4 - 8 - 32*v**2 + v**3 = 0. What is v? -1, -1/3, 2/5 Let a(s) = s + 1. Let y(n) = n**2 - 7*n - 12. Let w(h) = -30*a(h) - 5*y(h). Suppose w(v) = 0. Calculate v. -2, 3 Suppose u - 4*t = -0 + 2, 0 = 3*u + 5*t - 6. Determine j so that -3*j**3 - 204 + 204 - j - 4*j**u = 0. -1, -1/3, 0 Let s(r) be the first derivative of -1/7*r**4 + 2/35*r**5 + 0*r**3 - 2/7*r - 2 + 2/7*r**2. Factor s(p). 2*(p - 1)**3*(p + 1)/7 Let z = 396 - 396. Factor 9/5*g**2 + z*g - 3/5*g**3 - 12/5. -3*(g - 2)**2*(g + 1)/5 Let h(x) = -7*x - 1. Let y(u) = -u + 1. Let i(d) = h(d) - 6*y(d). Let v be i(-7). Solve 0 + v*n**4 + n**3 - 1/2*n**5 - 1/2*n + 0*n**2 = 0 for n. -1, 0, 1 Let s(v) be the third derivative of -v**8/2520 + v**7/3780 - v**4/12 + 2*v**2. Let k(l) be the second derivative of s(l). Determine f, given that k(f) = 0. 0, 1/4 Let c(r) be the first derivative of -1/6*r**3 + 0*r**2 - 3 + 0*r**4 - 4*r + 1/20*r**5. Let z(f) be the first derivative of c(f). Determine d so that z(d) = 0. -1, 0, 1 Let g(i) be the first derivative of -i**4/5 + 4*i**3/15 + 2*i**2/5 - 4*i/5 + 17. Factor g(h). -4*(h - 1)**2*(h + 1)/5 Let r(i) be the third derivative of -3*i**7/70 - 11*i**6/40 - 3*i**5/10 + 3*i**4/2 + 4*i**3 - 5*i**2. Let r(d) = 0. Calculate d. -2, -2/3, 1 Factor -35/4*y - 5/4*y**2 - 15/2. -5*(y + 1)*(y + 6)/4 Let s = 1021/588 + 2/147. What is o in -1/2 + s*o**2 + 5/4*o = 0? -1, 2/7 Let d be 0 - (-5)/(10/12). Suppose d*z = z. Determine w, given that 0*w**3 - w**4 - 6*w**3 + z*w**3 - 12*w**2 - 8*w = 0. -2, 0 Let g(u) be the first derivative of -5*u**4/4 + 5*u**3 + 11. Factor g(z). -5*z**2*(z - 3) Let w(s) = 4*s**2 + 3*s - 1. Suppose -2*x - y = -2 - 3, 5*x = 3*y + 40. Let t(l) = -7*l**2 - 6*l + 1. Let j(q) = x*w(q) + 3*t(q). Factor j(u). -(u + 1)*(u + 2) Let c(r) be the third derivative of r**6/180 + r**5/270 - 2*r**4/27 + 4*r**3/27 - 9*r**2. Let c(x) = 0. Calculate x. -2, 2/3, 1 Let p be 20/30*(-6)/(-20). What is k in 2/5*k**2 + 0 + 1/5*k**3 - 2/5*k**4 - p*k = 0? -1, 0, 1/2, 1 Let f(z) be the first derivative of 1/4*z**4 - 4 - 1/2*z**3 + 0*z**2 - 4*z. Let u(h) be the first derivative of f(h). Solve u(t) = 0 for t. 0, 1 Let x(j) be the second derivative of j**9/22680 - j**7/1890 + j**5/180 - j**4/4 - j. Let c(z) be the third derivative of x(z). Find w, given that c(w) = 0. -1, 1 Let x(t) be the first derivative of t**6/2 - 12*t**5/5 + 15*t**4/4 - 2*t**3 + 6. Determine n, given that x(n) = 0. 0, 1, 2 Let x(q) be the third derivative of -8*q**2 - 4/75*q**5 - 4/15*q**3 - 1/6*q**4 + 0*q + 0 - 1/150*q**6. Factor x(z). -4*(z + 1)**2*(z + 2)/5 Let y(f) = -f**3 + 1. Let d be y(-2). Let t = 16 - d. Factor -10*a - 2 + 9*a**2 - 4 + t*a. 3*(a - 1)*(3*a + 2) Let x(a) = 2*a**2 + 4*a + 6. Let q(b) = 5*b + 9. Let u(v) = -v**2 + v + 1. Let y(m) = -q(m) + 2*u(m). Let p(g) = -3*x(g) - 2*y(g). Factor p(z). -2*(z + 1)*(z + 2) Factor -2/11*l**2 + 2/11*l**3 + 2/11*l**4 + 0 + 0*l - 2/11*l**5. -2*l**2*(l - 1)**2*(l + 1)/11 Let h be 1 + 1 + 0/2. Factor 2 + p + 0*p - 2*p**h + 0 - p**2. -(p - 1)*(3*p + 2) Solve -25 + 58 - 21 - 24*a + 21*a**5 + 3*a**3 + 57*a**4 - 69*a**2 = 0. -2, -1, 2/7, 1 Factor -3*r**2 + 0*r**3 + 0*r**3 - 6*r**3 - 3*r**4. -3*r**2*(r + 1)**2 Let m(y) be the first derivative of 2*y**3/3 - 2*y - 1. Suppose m(v) = 0. What is v? -1, 1 Let n(s) = 7*s**4 + 42*s**3 + 135*s**2 + 64*s - 32. Let o(a) = 6*a**4 + 41*a**3 + 134*a**2 + 63*a - 33. Let b(f) = -3*n(f) + 4*o(f). Factor b(l). (l + 1)*(l + 6)**2*(3*l - 1) Let n(q) be the third derivative of 0 - 3*q**2 + 1/18*q**4 + 1/180*q**6 + 0*q + 1/30*q**5 + 0*q**3. Factor n(x). 2*x*(x + 1)*(x + 2)/3 Suppose 9*a = 8*a - 5*m, -a = m - 4. Let -4/7*l**4 + 4/7*l**2 + 12/7*l**3 - 8/7*l - 4/7*l**a + 0 = 0. Calculate l. -2, -1, 0, 1 Let x(g) be the second derivative of -5/2*g**3 + g + 1/10*g**6 - 3*g**2 - 3/4*g**4 + 3/20*g**5 + 0. Factor x(h). 3*(h - 2)*(h + 1)**3 Let q(v) be the first derivative of -2/3*v - 2/15*v**5 + 7 + 0*v**4 + 4/9*v**3 + 0*v**2. Factor q(s). -2*(s - 1)**2*(s + 1)**2/3 Let a(s) = -4*s. Let x be a(-1). Determine g, given that -4*g**x + g**3 + 7*g + 0 - 5*g**3 + 2 - 2*g - g**5 + 2*g**2 = 0. -2, -1, 1 Suppose q + q = 4. Let u(k) = -k - 2. Let m be u(-5). Factor 0*t**3 - t**5 + t**3 - q*t**m + 2*t**4. -t**3*(t - 1)**2 Factor -1/2*y**4 + 0 + 0*y + y**3 - 1/2*y**2. -y**2*(y - 1)**2/2 Let u(r) be the first derivative of r**6/120 - r**5/60 + r**2 - 3. Let v(k) be the second derivative of u(k). What is f in v(f) = 0? 0, 1 Let i = 29 + -231/8. Let q(x) be the first derivative of -i*x**2 + 0*x + 2 - 1/12*x**3. Factor q(c). -c*(c + 1)/4 Suppose 0*h - 1 = h. Let f(a) = 2*a**3 + 3*a**2 + 4*a - 3. Let s(q) = -q**3 - q**2 - q + 1. Let g(n) = h*f(n) - 3*s(n). Determine x, given that g(x) = 0. -1, 0, 1 Let p(g) = -4*g**4 - 4*g**3 - g**2 + 9*g. Let s(i) = 12*i**4 + 12*i**3 + 4*i**2 - 28*i. Let k(y) = -16*p(y) - 5*s(y). What is j in k(j) = 0? -1, 0, 1 Factor -8/7*c**3 - 2/7 - 18/7*c**2 - 12/7*c. -2*(c + 1)**2*(4*c + 1)/7 Factor -4/5 + 3/5*i**2 - 2/5*i**3 + 4/5*i - 1/5*i**4. -(i - 1)**2*(i + 2)**2/5 Let c = 33 - 31. Let a(m) be the second derivative of -7/6*m**4 - 1/3*m**3 + 0 - 4/21*m**7 + 2*m - 13/15*m**6 - 3/2*m**5 + 0*m**c. Factor a(p). -2*p*(p + 1)**3*(4*p + 1) Let i(h) be the second derivative of -h**4/12 + h**3/2 - h**2 + 37*h. Solve i(k) = 0. 1, 2 Let d = -4 + 6. Determine p so that 3*p + p + 0*p**d + 3 + p**2 + 1 = 0. -2 Let z(r) be the third derivative of -r**5/15 - r**4/3 - 9*r**2. Factor z(h). -4*h*(h + 2) Let v(a) be the third derivative of -a**7/105 + a**5/15 - a**3/3 - 7*a**2. Determine q so that v(q) = 0. -1, 1 Let s(g) = 4*g**5 - 8*g**4 - 8*g**3 + 4*g - 4. Let w(d) = -3 + 4*d + 5*d**5 - d - 10*d**4 - 7*d**3 + 3*d**4. Let o(j) = -3*s(j) + 4*w(j). Factor o(r). 4*r**3*(r - 1)*(2*r + 1) Solve -96/5*u + 24/5 + 6/5*u**2 - 6*u**4 - 42/5*u**5 + 138/5*u**3 = 0 for u. -2, -1, 2/7, 1 Let l = -3 - -5. Suppose 3*c = 4 + 2. Determine q so that -q - 2 + q**l + 2*q**c + 0*q**2 = 0. -2/3, 1 Let y(x) be the second derivative of 9/2*x**2 - x**3 - 1/4*x**4 - 4*x + 0. Factor y(s). -3*(s - 1)*(s + 3) Let l(q) be the third derivative of q**7/840 - q**6/720 - 2*q**3/3 + 4*q**2. Let o(u) be the first derivative of l(u). Determine d, given that o(d) = 0. 0, 1/2 Suppose 4*f - 3 = 9. Let p = 7 - f. Factor 8/3*i - p*i**2 - 2/3*i**4 - 2/3 + 8/3*i**3. -2*(i - 1)**4/3 Let s = 37 + -26. Let t = -7 + s. Factor d**5 - d**2 - 3*d**t + 0*d**2 - d**3 + 4*d**3. d**2*(d - 1)**3 Let t = 127 + -213. Let x = t - -260/3. Solve 0 + x*s**2 + 0*s - 2/3*s**3 = 0 for s. 0, 1 Suppose -4*f = -11 + 3. What is v in 0 + 1/5*v**f - 1/5*v = 0? 0, 1 Suppose -y - 14 + 6 = 0. Let u be ((-4)/y)/((-1)/(-6)). Suppose 0*t + 0 + 1/5*t**u - 2/5*t**2 = 0. Calculate t. 0, 2 Suppose -d + p = -0*p - 4, -3*d + 2*p + 8 = 0. Determine f, given that d + 4/9*f + 2/9*f**2 = 0. -2, 0 Suppose 19 = -4*g + 3*m, m - 2*m - 24 = 3*g. Let n be (0 - 2)*(g + 5). Factor f - 3*f**3 + 0*f**2 + 0*f + 2 - f**2 + 2*f - f**n. -(f - 1)*(f + 1)**2*(f + 2) Let n(d) be the second derivative of -7*d**6/120 - 33*d**5/80 + 5*d**4/24 - 2*d + 8. Solve n(j) = 0 for j. -5, 0, 2/7 Let m(c) = c**2 + 11*c + 10. Let j be m(-10). Find o such that 3/5*o**5 - 6/5*o**3 + 0*o**2 + 0 + 3/5*o + j*o**4 = 0. -1, 0, 1 Let r(j) be the second derivative of 1/20*j**5 - 3*j - 1/40*j**6 + 0*j**3 + 0*j**2 - 1/48*j**4 + 0. Find
{ "pile_set_name": "DM Mathematics" }
is 3711879 to the power of 1/3, to the nearest integer? 155 What is 1280342 to the power of 1/2, to the nearest integer? 1132 What is 1432395 to the power of 1/3, to the nearest integer? 113 What is the fifth root of 184632 to the nearest integer? 11 What is 262952 to the power of 1/2, to the nearest integer? 513 What is the square root of 54731 to the nearest integer? 234 What is the sixth root of 402540 to the nearest integer? 9 What is the cube root of 2604015 to the nearest integer? 138 What is 1259155 to the power of 1/4, to the nearest integer? 33 What is the ninth root of 26279160 to the nearest integer? 7 What is the square root of 6217367 to the nearest integer? 2493 What is 4105116 to the power of 1/2, to the nearest integer? 2026 What is the sixth root of 55955 to the nearest integer? 6 What is the seventh root of 16534454 to the nearest integer? 11 What is the cube root of 320857 to the nearest integer? 68 What is the square root of 186277 to the nearest integer? 432 What is the seventh root of 43947 to the nearest integer? 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82 What is the square root of 526207 to the nearest integer? 725 What is 5151560 to the power of 1/9, to the nearest integer? 6 What is the tenth root of 5316423 to the nearest integer? 5 What is the square root of 14656332 to the nearest integer? 3828 What is 226087 to the power of 1/2, to the nearest integer? 475 What is the tenth root of 2100509 to the nearest integer? 4 What is the eighth root of 237100 to the nearest integer? 5 What is 2225745 to the power of 1/5, to the nearest integer? 19 What is the fourth root of 6353492 to the nearest integer? 50 What is 3019778 to the power of 1/4, to the nearest integer? 42 What is the third root of 8616109 to the nearest integer? 205 What is 17484645 to the power of 1/4, to the nearest integer? 65 What is the sixth root of 967123 to the nearest integer? 10 What is 79075 to the power of 1/5, to the nearest integer? 10 What is the third root of 3363775 to the nearest integer? 150 What is the square root of 543680 to the nearest integer? 737 What is the square root of 29340163 to the nearest integer? 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9 What is 6618914 to the power of 1/4, to the nearest integer? 51 What is the seventh root of 753257 to the nearest integer? 7 What is 5457375 to the power of 1/7, to the nearest integer? 9 What is the third root of 120403 to the nearest integer? 49 What is 157815 to the power of 1/7, to the nearest integer? 6 What is the cube root of 13930678 to the nearest integer? 241 What is 20880347 to the power of 1/6, to the nearest integer? 17 What is the square root of 13075 to the nearest integer? 114 What is 5345175 to the power of 1/3, to the nearest integer? 175 What is the square root of 549505 to the nearest integer? 741 What is 26770318 to the power of 1/4, to the nearest integer? 72 What is 501608 to the power of 1/2, to the nearest integer? 708 What is the tenth root of 107667 to the nearest integer? 3 What is 222097 to the power of 1/6, to the nearest integer? 8 What is
{ "pile_set_name": "DM Mathematics" }
4 = -4*h, 0 = -4*h + 2*z + 895 - 4719. Is h/8*(7 - 4 - 5) a prime number? True Let n(i) = -2*i**3 - 25*i**2 + 4*i + 14. Is n(-27) composite? True Suppose -280262 = -91*d + 143070. Let k = 9 - 5. Suppose k*w + d = 8*w. Is w composite? False Suppose -10770837 = 45*o - 33857682. Is o composite? False Let k be 8/10 + (-121280)/(-25). Let l = 7245 - k. Is l composite? False Suppose -5*j = 30 - 170. Suppose -19*x = -j*x + 155583. Is x a prime number? False Let j be ((-30)/14 + 1)/((-4)/14). Let v(g) = -22 + 5*g + j*g - 4*g**2 + 12*g**2 + g**3 + 11*g**2. Is v(-17) composite? True Let s = -11 + -21. Let l = 49 + s. Let q(w) = 2*w**2 - 7*w + 22. Is q(l) a prime number? False Suppose 0 = -15*n + 17 + 13. Suppose 4*y + 10 = -4*b + 2, -b = -y + n. Is (-1 + 734)*(y - -1) a composite number? False Let p(y) = 112855*y + 7048. Is p(3) a composite number? True Let f be (2/(-11) + (-224)/(-22))/2. Suppose 2006 = f*g + 2*q, 3*g - 553 - 635 = 4*q. Suppose b - 1590 = -4*s - b, -b + g = s. Is s composite? True Let s = -434 - -23. Is s*(16/(-6))/4 a composite number? True Let u be -1 - (211 + (-1 - 1)). Suppose -5*y - 5*n - 1645 = 0, 7*y + 1313 = 3*y - n. Let f = u - y. Is f a composite number? True Suppose -29*q - 12304 = -32*q + 4037. Is q composite? True Let v = -66 - -106. Suppose -9*l + v = l. Suppose -j + l*h + 318 = -h, j + 4*h = 273. Is j a composite number? False Let m(q) = -q**2 + q + 1. Let g(y) = -161*y**2 - 6*y - 10. Let o(c) = -g(c) - 3*m(c). Let r = 1324 + -1320. Is o(r) composite? True Suppose 2*t + 2*t = -3*k + 240, 2*k + 300 = 5*t. Let p be (t/(-4))/5 - -1916. Suppose 0 = -8*d + p - 193. Is d composite? True Suppose 10*w - 13*w - 84 = 0. Is w/(-42)*(-163074)/(-4) prime? True Suppose 60 = -3*u + 165. Is 14/u - 1/(5/(-4788)) a composite number? True Let y = 181 + -178. Suppose j = 5*s - 2*s - 2871, -y*s + 2862 = -4*j. Is s a composite number? True Let c = -9373 - -4825. Let m = c - -7711. Is m prime? True Let c = 288 + -286. Suppose -x - 172 = -2*s + c*x, -2*s = 4*x - 186. Is s composite? False Is -12 - (8/8 + -564782) a composite number? True Suppose -13*z = 404 - 40. Let q(x) = -x**3 - 16*x**2 + 63*x + 55. Is q(z) a prime number? True Let p be ((-3 + 3)*-1)/1. Suppose 0*i + 38*i - 167086 = p. Is i prime? True Let h(y) be the third derivative of -197*y**4/6 - 173*y**3/6 + 106*y**2. Is h(-14) a composite number? False Suppose 15 = 2*a + 3*k, 4*a - 3*a - 4*k + 9 = 0. Suppose -p - 3*p = 0, -4*p = a*y + 1533. Let u = 1598 + y. Is u a composite number? False Let q = 5652 - -9787. Suppose d + 2*y = 14299 + 1140, -2*y - q = -d. Is d prime? True Let j(a) = -24*a**2 - 14*a - 12. Let z(f) = -f**2 + f. Let c(n) = j(n) - 3*z(n). Let v(p) be the first derivative of c(p). Is v(-19) a prime number? False Suppose 0 = -12*u - 4*u - 342821 + 15033205. Is u a composite number? False Let v be (0 + (-84)/8)/(9/(-24)). Let a be 8/v - (-204)/21. Suppose -u - 3555 = -a*u. Is u a prime number? False Let y(f) = 1727*f + 2240. Is y(11) a prime number? False Let g be 7377/(-2)*((-80)/(-12) + -6). Let w = 3578 + g. Let a = w + -738. Is a a composite number? True Suppose 5*d = -5, -5*k + 4615 - 1265 = -5*d. Is (-3 + -1)/((-6)/k) a prime number? False Suppose 5*o - 3*o = 4. Let u be ((-428)/2)/(o/(-3)). Suppose z + 3*p = 124 + 42, u = 2*z - 5*p. Is z a composite number? False Is ((-10576120)/50)/(4 + (-6)/(-45)*-33) a composite number? True Let r(o) = 9843*o + 3798. Is r(11) prime? False Let a(i) = -2*i**2 + 23*i**2 - 213*i**3 + 212*i**3 - 49 + 34*i. Is a(19) prime? True Is ((-12)/(-7) + -2)/((-56)/(-1148335580)*-5) a composite number? False Suppose -5850*w - 44219 = -5857*w. Is w a composite number? False Let w(g) = -g**2 - 5*g + 22. Let k be w(-8). Let c be -1 + (k - 270)*(-1)/1. Suppose -l = 1 + 3, -m + l = -c. Is m a prime number? False Let m = -135 - -139. Is m - (-3)/(6/1766) a composite number? False Suppose 2*b + 3*s + 8 = b, 2*s = 2*b. Is (14192/96)/(b/(-12)) prime? True Let i(q) = 1350*q + 98. Let a be i(-19). Let t = a + 38003. Is t a composite number? False Let p be 118/1357 - (-232)/(-23). Is (2656896/40)/16 - (-4)/p prime? False Suppose -5*n - 5*m + 10 = 0, n - 4*m = 6*n - 12. Suppose 3*i - 9259 = 9*s - n*s, -3*s = 4*i - 12326. Is i a prime number? True Suppose -69 - 35 = 13*b. Let f(h) = 51*h**2 + 4*h - 27. Is f(b) a prime number? False Is (-346575)/(-6) + ((-230)/20)/(-23) a composite number? True Suppose -88*n + 82*n = -17244. Suppose -9*j = -6*j - n. Is j a prime number? False Let u(g) = -29 + 340*g**2 - 13*g + 8 - 1 + 6. Is u(5) composite? False Suppose 493*f - 489*f - 383717 = 86271. Is f a prime number? True Let c = 296 - 263. Suppose 0 = c*v - 34*v + 1018. Is v a prime number? False Let u = -867 + 1616. Let q = -275 + u. Is (-2)/(4*(-3)/q) a prime number? True Let v(c) = 12*c + 98. Let o be v(-8). Suppose -3*f - o*f + 5163 = 2*j, -3*f + 2582 = j. Is j a prime number? True Suppose -13*l = -0*l - 65. Suppose 10*c = l + 35. Suppose -c*a - h + 639 = 0, -3*h + 5 = -a + 155. Is a a composite number? True Let i(h) = 9*h**2 - 4*h + 3. Let n be i(2). Let b(o) = -n*o + 30*o - 29 + 56*o**2 + 16*o**2. Is b(-6) prime? False Let r(f) = 120*f**2 + 24*f + 59. Let p(t) = -40*t**2 - 8*t - 19. Let d(w) = -7*p(w) - 2*r(w). Is d(-9) a composite number? True Let r(k) = 2*k**3 - 45*k**2 + 47*k + 27. Suppose 5*h - c = 150, 7*h - 77 = 4*h - 2*c. Is r(h) prime? True Let g(l) = -3*l**2 - 2*l + 26. Let u be g(-11). Let z = -168 - u. Suppose 144*r - z*r = -753. Is r a composite number? False Let z be (-1)/(190/294 + (-2)/3). Suppose 0 = 5*y + 4*f - 10, 7*y + 5*f + z = 11*y. Suppose -4046 = -y*q + 6172. Is q a prime number? False Suppose -5*s + 1013 = -4*w + 6*w, -s = -5. Suppose -w*j + 22370 = -492*j. Is j prime? False Let z(i) = 11 + 232*i**2 + 2 + 96*i**2 - 3*i - i. Is z(3) a composite number? False Suppose 0 = -b - 4*r + 45409, 40*b - 38*b - r = 90881. Is b a composite number? True Suppose 2*u - 4339 = -5*c - 578, 2*c - 7482 = -4*u. Suppose 18*o = 4378 + u. Is o a prime number? True Suppose 3*d = 9, -8*d + 7*d + 220074 = 3*y. Is y composite? True Let c be 32 + 116 + -1 + (-1 - -3). Let k(z) = 434*z**3 + 345*z + 2 + c*z**3 - 348*z + z**2. Is k(1) a prime number? False Suppose -55*b = -3197954 - 3247111. Suppose m - b = -32*m. Is m a prime number? False Suppose -9*x + 178276 = -5*x + 4*s, -4*x + 178266 = -s. Is x composite? True Suppose -27*h + 661171 - 157216 = 0. Is h composite? True Let v(j) = 342*j**2 + 8*j + 1. Let p(y) = -y**2 - y - 2. Let m(u) = 3*p(u) + v(u). Let h = 18 + -16. Is m(h) prime? True Suppose -28*h = -29*h - 7990. Let z = 11324 + h. Let n = z + -2363. Is n a composite number? False Suppose 275396 + 1419281 - 245824 = 21*u. Is u composite? False Let y(i) = 67278*i + 1043. Is y(11) a composite number? False Is (0/9)/4 - (-103316 + 1) composite? True Suppose -5*f = -3*g - 4292 - 16335, 4*f - 4*g = 16500. Is f composite? True Let f(p) = 13*p + 6. Let h be f(13). Suppose 23 + 505 = 6*n. Let v = h - n. Is v a composite number? True Suppose k - 214*k - 62*k + 86709425 = 0. Is k composite? True Let o be 7/(-2 + 5 - 4). Let d be 1*(2/o + 24/84). Suppose 13*n - 12*n - 97 = d. Is n a composite number? False Suppose -86*s - 2632 = -93*s. Let x(r) = -30*r - 7. Let q be x(6). Let b = s - q. Is b composite? False Suppose 0 = 7*z + 13249 + 6162. Let p = z + 5022. Is p composite? True Suppose 0 = -5*o + 4*o + 4*q + 6527, -32509 = -5*o + 2*q. Is o composite? True Suppose -x + 39*j + 777 = 35*j, -12 = 3*j. Let q = 890 - x. Is q a composite number? True Suppose -5*x - 9 = -29. Is 2812 + 2/(x/(-6)) composite? True Suppose -17557 + 112302 = 35*n. Is n a prime number? True Suppose -3*r + 2953 - 670 = 0. Let z(v) = -26*v + 27*v - v**2 + 3*v**2 - v**2 - r*v**3. Is z(-1) a composite number? False Suppose -5*g + 233 = -5*b + 3*b, -245 = -5*g + 5*b. Is (4713/(-9))/((-15)/g) prime? True Suppose 3*w + 3 = 0, 3*u + 4*w = -2*u - 5929. Let p = u + 2842. Is p a composite number? False Suppose -20*l - 18*l + 1315235 = -6306387. Is l composite? False Suppose -2*s + 4*f + 8500 = 0, -12786 = -3*s + 3*f - 6*f. Suppose 0 = -7*r - s + 22311. Is r a composite number? False Let u(m) = -22*m**3 - m**2 + 16*m + 33. Let k be u(-8). Let t = k - 6374. Suppose -t = -4*c + 1801. Is c prime? False Suppose -372
{ "pile_set_name": "DM Mathematics" }
390 is divided by 1778. 1738 Calculate the remainder when 22019 is divided by 2449. 2427 What is the remainder when 65651756 is divided by 703? 695 Calculate the remainder when 297273 is divided by 627. 75 Calculate the remainder when 6905226 is divided by 23. 5 Calculate the remainder when 6989261 is divided by 2329752. 5 What is the remainder when 169997 is divided by 4690? 1157 Calculate the remainder when 1450251 is divided by 14507. 14058 What is the remainder when 1177066 is divided by 65391? 28 Calculate the remainder when 283472 is divided by 47190. 332 What is the remainder when 340226 is divided by 2831? 506 Calculate the remainder when 64592 is divided by 1700. 1692 What is the remainder when 2450336 is divided by 9215? 8361 What is the remainder when 345087 is divided by 57444? 423 Calculate the remainder when 242019104 is divided by 3285. 14 Calculate the remainder when 465256 is divided by 1698. 4 What is the remainder when 46708 is divided by 7176? 3652 What is the remainder when 490287 is divided by 270? 237 Calculate the remainder when 41227293 is divided by 528. 525 What is the remainder when 539773 is divided by 317? 239 Calculate the remainder when 27900989 is divided by 93. 59 What is the remainder when 83582 is divided by 1151? 710 Calculate the remainder when 218633 is divided by 31131. 716 Calculate the remainder when 32678 is divided by 32673. 5 Calculate the remainder when 1401874 is divided by 329. 5 Calculate the remainder when 13932957 is divided by 460. 17 Calculate the remainder when 9358953 is divided by 779912. 9 What is the remainder when 149059 is divided by 29? 28 What is the remainder when 103873820 is divided by 6535? 6530 Calculate the remainder when 240717 is divided by 944. 941 Calculate the remainder when 563584 is divided by 12774. 1528 Calculate the remainder when 55342 is divided by 87. 10 What is the remainder when 5060865 is divided by 21? 12 What is the remainder when 284791 is divided by 910? 871 What is the remainder when 16267959 is divided by 22? 15 What is the remainder when 72510 is divided by 1469? 529 What is the remainder when 10348083 is divided by 52263? 9 Calculate the remainder when 619871 is divided by 131. 110 Calculate the remainder when 317362 is divided by 79340. 2 What is the remainder when 3119013 is divided by 178? 97 What is the remainder when 24421233 is divided by 23? 17 Calculate the remainder when 10908876 is divided by 1955. 1931 What is the remainder when 2811610 is divided by 1231? 6 Calculate the remainder when 97476748 is divided by 63. 61 Calculate the remainder when 5124120 is divided by 5124109. 11 Calculate the remainder when 280902 is divided by 550. 402 Calculate the remainder when 462078668 is divided by 6595. 6588 What is the remainder when 923368 is divided by 65705? 3498 What is the remainder when 9781283 is divided by 541? 3 What is the remainder when 1656274 is divided by 1151? 1136 What is the remainder when 156691905 is divided by 81? 78 What is the remainder when 3687203 is divided by 24745? 198 What is the remainder when 1191128 is divided by 243? 185 Calculate the remainder when 561958 is divided by 4844. 54 What is the remainder when 1910755 is divided by 3837? 3766 What is the remainder when 14990612 is divided by 10317? 11 Calculate the remainder when 840782 is divided by 1789. 1741 Calculate the remainder when 3612292 is divided by 903066. 28 What is the remainder when 7624329 is divided by 1089161? 202 What is the remainder when 3127898 is divided by 267? 260 Calculate the remainder when 5858252 is divided by 37795. 27 What is the remainder when 120928 is divided by 578? 126 What is the remainder when 22553783 is divided by 44? 43 Calculate the remainder when 19118115 is divided by 43. 14 What is the remainder when 2802992 is divided by 8? 0 What is the remainder when 1814450 is divided by 194? 162 Calculate the remainder when 96161 is divided by 3885. 2921 What is the remainder when 3338746 is divided by 1419? 1258 What is the remainder when 10984759 is divided by 1042? 1037 Calculate the remainder when 155679017 is divided by 21. 11 Calculate the remainder when 215737935 is divided by 573. 570 What is the remainder when 7696750 is divided by 4696? 6 What is the remainder when 999406 is divided by 999341? 65 What is the remainder when 28013264 is divided by 862? 850 Calculate the remainder when 411588 is divided by 4677. 12 What is the remainder when 502917 is divided by 654? 645 What is the remainder when 413945 is divided by 3000? 2945 Calculate the remainder when 34346141 is divided by 145. 136 Calculate the remainder when 544723199 is divided by 9264. 9263 Calculate the remainder when 234746 is divided by 95. 1 Calculate the remainder when 113515 is divided by 28. 3 Calculate the remainder when 21433227 is divided by 73. 62 Calculate the remainder when 19788 is divided by 2356. 940 Calculate the remainder when 339624 is divided by 1144. 1000 What is the remainder when 141038 is divided by 1974? 884 What is the remainder when 769120373 is divided by 66? 65 What is the remainder when 12682960 is divided by 93? 85 Calculate the remainder when 7076081 is divided by 12. 5 What is the remainder when 330696 is divided by 110173? 177 What is the remainder when 31259410 is divided by 629? 626 What is the remainder when 20871604 is divided by 33? 28 What is the remainder when 6392264 is divided by 6392148? 116 Calculate the remainder when 78252 is divided by 10542. 4458 Calculate the remainder when 59400 is divided by 19628. 516 Calculate the remainder when 3850232 is divided by 900. 32 Calculate the remainder when 8954043 is divided by 559627. 11 Calculate the remainder when 6875634 is divided by 23. 14 Calculate the remainder when 32803 is divided by 6532. 143 Calculate the remainder when 55954353 is divided by 11765. 13 What is the remainder when 546798 is divided by 546176? 622 What is the remainder when 100561 is divided by 6697? 106 Calculate the remainder when 2898282 is divided by 413899. 989 Calculate the remainder when 656299 is divided by 5050. 4849 What is the remainder when 80725824 is divided by 731? 32 Calculate the remainder when 269711 is divided by 595. 176 What is the remainder when 11522472 is divided by 11? 5 Calculate the remainder when 4992441 is divided by 1771. 1763 Calculate the remainder when 3367070 is divided by 561178. 2 What is the remainder when 94988 is divided by 18995? 13 What is the remainder when 1584090 is divided by 1584028? 62 Calculate the remainder when 214716 is divided by 42899. 221 Calculate the remainder when 4264343 is divided by 84. 83 Calculate the remainder when 9488245 is divided by 2250. 2245 Calculate the remainder when 202473 is divided by 395. 233 What is the remainder when 540546 is divided by 101? 95 Calculate the remainder when 16569696 is divided by 25. 21 What is the remainder when 11240767 is divided by 1232? 1231 Calculate the remainder when 2175126 is divided by 2175099. 27 What is the remainder when 450754 is divided by 342? 340 What is the remainder when 2435314 is divided by 284? 14 What is the remainder when 89926 is divided by 22266? 862 Calculate the remainder when 174600243 is divided by 2883. 2880 What is the remainder when 973354 is divided by 97? 56 What is the remainder when 39740142 is divided by 281? 279 Calculate the remainder when 20770687 is divided by 576963. 19 What is the remainder when 5214145 is divided by 4864? 4801 What is the remainder when 112356 is divided by 983? 294 What is the remainder when 1897141 is divided by 632330? 151 Calculate the remainder when 343216757 is divided by 207. 200 What is the remainder when 4460390 is divided by 189? 179 Calculate the remainder when 1010995 is divided by 76. 43 What is the remainder when 73256 is divided by 1362? 1070 Calculate the remainder when 2014802 is divided by 183156. 86 Calculate the remainder when 2766811 is divided by 2766745. 66 What is the remainder when 1595269 is divided by 578? 567 What is the remainder when 1815445 is divided by 17798? 49 Calculate the remainder when 1544312 is divided by 14849. 16 What is the remainder when 97198 is divided by 1300? 998 What is the remainder when 854916 is divided
{ "pile_set_name": "DM Mathematics" }
l**3 + 7 - 3*l**2 - 5*l - l**2. Calculate a(-5). 21 Let n(x) = -x**2 + 10*x - 1. Suppose -4*d = -q + 30, -5*d - 25 = -q + 10. Determine n(q). -1 Let u(x) be the first derivative of x**2/2 - 14*x - 20. Give u(0). -14 Suppose 12 = -8*m - 36. Let l(q) = 7*q + 6. Let u(n) = -15*n - 13. Let s(a) = m*u(a) - 13*l(a). Calculate s(4). -4 Let l(i) be the third derivative of i**6/120 + i**5/60 - i**3 + 3*i**2 + 9*i. What is l(0)? -6 Let i = -1 + -4. Let u(a) be the first derivative of 5*a + 2 + 1/2*a**2. Calculate u(i). 0 Let r(u) = -5*u + 29. Let v be r(4). Let o(w) = w**2 - 8*w + 7. Give o(v). 16 Let m(v) = -5*v**3 - 17*v**2 - 14*v + 14. Let c(d) = 3*d**3 + 9*d**2 + 8*d - 7. Let j(h) = 7*c(h) + 4*m(h). Determine j(5). 7 Let h(d) be the first derivative of -d**4/4 - 5*d**3/3 - 6*d - 124. What is h(-5)? -6 Let v be -2 - (-9 - -8)*(-30)/5. Let c(k) = k + 10. Give c(v). 2 Let q(i) = i**2 - 5*i - 11. Let w(a) = -a**2 + 2*a + 12. Let m(s) = -3*q(s) - 4*w(s). Calculate m(6). 63 Let v(q) = 15*q - 6. Let l be 4/12*(-1 - -19). Let p(g) = 7*g - 3. Let y(i) = l*v(i) - 13*p(i). Determine y(4). -1 Let n(g) = -g. Let q(s) = -s**2 - 9*s - 5. Let d = -39 + 63. Let l = 15 - d. Let y be q(l). Calculate n(y). 5 Let a(z) = z**2 - z - 12. Suppose 35*j - 16*j = 95. Determine a(j). 8 Let f(j) = -3*j - 1. Let b(v) = 4 + 4*v - 2*v - 3*v + 0*v. Let l be b(4). Suppose -a + 4 = l, 2*a - 4 = -d + 3*d. What is f(d)? -7 Suppose 3*b = -0 + 6. Let v(c) = 3*c + 2*c**b + 4*c**3 - 4*c**3 + c**3 + 2*c**2. What is v(-3)? 0 Let x(c) = -c**3 - 6*c**2 + 4*c + 7. Let j be x(-6). Let i = -15 - j. Let g(q) = -2*q + 2 - q**2 + i*q**2 + q - 2*q**2. Give g(2). -4 Let w(f) be the third derivative of f**4/3 - 10*f**3/3 - 585*f**2. Give w(3). 4 Let r(f) be the second derivative of -f**3/2 + 3*f**2/2 + f. Let x(c) = -2*c**3 + 74*c**2 + 4*c - 142. Let m be x(37). Give r(m). -15 Let j(f) = -2*f - 7. Let w(k) = -k**2 + 18*k - 5. Let q be w(17). Suppose -4*m - n - 4*n + 33 = 0, -m = 5*n - q. Calculate j(m). -21 Let p(v) = 5*v - 20. Let t(f) = -f + 2. Let j(i) = p(i) + 3*t(i). Determine j(5). -4 Let p(b) = 11*b**2 + 65*b + 1. Let a be p(-6). Let w(i) = -i**2 + 9*i - 10. Determine w(a). 4 Let q(x) = x**3 + 3*x**2 - 5*x - 3. Let d(h) = -2*h**3 + 3*h**2 - h + 2. Let z(w) = 2*w + 20. Let j be z(-9). Let f be d(j). Determine q(f). 1 Let y(x) be the third derivative of -x**6/120 - x**5/10 - x**4/24 + x**3/6 - 8*x**2. Let u be 3/((-12)/44) + 3. Let i be (u/(-20))/((-4)/60). Give y(i). 7 Let n(x) = -18*x**3 - x**2 - x - 1. Let s = -588 + 587. Give n(s). 17 Let l(j) be the second derivative of -j**3/3 - 2*j. Let z = -754 + 757. What is l(z)? -6 Suppose i - 11 = -3. Let d(m) = -6*m**2 - 2*m - 12. Let g(n) = -5*n**2 - 11. Let q(k) = 4*d(k) - 5*g(k). What is q(i)? 7 Suppose 0 = u - 2*u - 7. Let h(p) = 9*p**3 + 5*p**2 - 7*p + 8. Let j(m) = 5*m**3 + 2*m**2 - 3*m + 4. Let o(r) = -4*h(r) + 7*j(r). Calculate o(u). -4 Let s(l) = 5*l**3 + 2*l**2 + 7*l - 15. Let a(w) = 4*w**3 + 3*w**2 + 6*w - 13. Let y(m) = 4*a(m) - 3*s(m). Calculate y(-5). 3 Let m(d) = d**2 - 5*d + 4. Suppose -42*l + 44*l = 6. What is m(l)? -2 Let u(n) = 134*n**2 - 9 - 132*n**2 + 14*n**3 + 9 - 34*n - 33*n + 68*n. Let t be (-1)/3 + (-13)/(-3). Suppose -t*a + 2*a - 2 = 0. What is u(a)? -13 Let x(k) be the first derivative of -k**2 - 2*k + 1/3*k**3 + 4. Let t = -1 + 4. What is x(t)? 1 Let a(k) be the third derivative of -k**6/120 - k**5/10 - 7*k**4/24 - 7*k**3/6 + 76*k**2. What is a(-5)? 3 Let x(f) = -5*f**3 + 40*f**2 - 49*f + 37. Let a(j) = -2*j**3 + 16*j**2 - 24*j + 18. Let y(c) = -7*a(c) + 3*x(c). What is y(10)? -5 Let p(o) = -4*o**3 + 16*o**3 - 13*o**3 - 6 + 7*o + 3*o**2. What is p(4)? 6 Let o(s) = -s - 2*s**3 + 3*s**3 + 2*s**2 - s**2 + 4. Let m be (6/(-27))/(-1) - (-244)/(-1098). Give o(m). 4 Suppose -5*t - 3*p = -10 - 3, 0 = -3*t + p + 5. Let n(l) = 2 + 1 - 8*l**t - 4. Let y(x) = x + 9. Let f be y(-8). What is n(f)? -9 Let a(n) be the second derivative of -n**3/6 - n**2/2 - n. Let i(j) = -5*j - 5. Let u(v) = 6*a(v) - i(v). What is u(-2)? 1 Let m(p) = -p**2 - 3*p + 8. Let u(b) = 3*b**2 + 10*b - 24. Let n(k) = 11*m(k) + 4*u(k). What is n(-6)? -14 Let y(w) be the first derivative of -1/3*w**3 + 7/2*w**2 - 1 - 7*w. Let b(t) = t + 14. Let q be b(-8). Calculate y(q). -1 Suppose -274*k = -272*k + 26. Let p(t) = -t**2 - 16*t - 2. Calculate p(k). 37 Let x = 11 - 3. Suppose 0 = x*t - 3*t. Let q(h) be the third derivative of -h**6/120 - h**5/60 - h**4/24 + 5*h**3/3 + 10*h**2. Calculate q(t). 10 Let w(y) be the third derivative of y**5/30 - y**4/4 + y**3/2 + y**2. Suppose 4*o - 9*l - 13 = -6*l, 3*l = 3. Determine w(o). 11 Let s be (-6)/9 - 0 - (-124)/(-93). Let r(w) = -2 + 5*w**2 - 2*w + w**2 - 4*w**2 - w. Calculate r(s). 12 Let h(c) = -c**3 - c**2 + 3*c + 3. Suppose 157 + 29 = 93*m. Calculate h(m). -3 Let x(v) = -v**2 + v + 2 + 2*v**2 + v. Suppose 0 = -52*q + 45*q + 868. Let b = q - 128. Determine x(b). 10 Let o(b) = b - 5. Suppose -115*n = -89*n - 338. Determine o(n). 8 Let i(g) = g**3 + 5*g**2. Suppose 12*f - 19 = -79. What is i(f)? 0 Let u(y) = 5*y**3 + 5*y**2 + 2*y - 3. Let v(o) = -o**2 - o + 1. Let d(t) = -u(t) - 3*v(t). Let f be -5*30/50 - (-2 + -2). Give d(f). -6 Let z(y) = y**2 - 13*y + 24. Let u be z(9). Let k(v) = -v**2 - 11*v + 14. Calculate k(u). 2 Let l be 16/(-3)*15/(-20). Let s(a) = -l*a - 2 - 10*a**2 + 1 + 11*a**2. What is s(3)? -4 Let d(a) be the third derivative of -a**4/3 + 5*a**3/6 + 91*a**2. What is d(5)? -35 Suppose 0 = 2*k - 5*t + 1, k + 3 = 3*k - t. Let q(g) = 3 + 5*g**k - 9 + g + 6. Calculate q(-1). 4 Let x(u) = u**2 - 17*u - 3. Let l(h) = h**3 + 22*h**2 - 4*h + 452. Let j be l(-23). What is x(j)? -33 Let a(p) be the second derivative of 0 + 1/3*p**3 - 1/2*p**2 + 12*p. What is a(3)? 5 Let r(a) = a - 6. Suppose -4*v + 0*v = 4*s - 36, 7 = v - s. Suppose -3*k - v = -5*k. Suppose -2*c + 12 = -4*c + k*g, -3*c + 4*g - 12 = 0. Give r(c). -6 Suppose 7*r = 37*r - 180. Let a(q) = q**2 - 10*q + 31. What is a(r)? 7 Let r(j) = -2*j - 10. Let d = 17 + -23. Determine r(d). 2 Suppose 4*b - 3 = -c + 5, -5*c = 0. Let r(w) be the third derivative of w**4/8 + w**3/6 - w**2. Give r(b). 7 Suppose w - 6*w + 10 = 0. Let i(c) = -10*c - 5*c + c**3 + 8*c - 5*c**w - 3. What is i(6)? -9 Let b(a) = a**2 + 6*a - 18. Let t = 472 - 480. What is b(t)? -2 Let u(g) be the second derivative of 5*g**3/6 + g**2 - 2*g + 54. Calculate u(-5). -23 Suppose 7*x + 5*f - 20 = 2*x, 5*x = 5*f + 20. Let y(l) be the second derivative of -1/4*l**4 - 60*l + 0 - 2/3*l**3 + 3*l**2 + 1/20*l**5. Calculate y(x). 6 Let b(s) = -s + 3. Let f(c) = -c**3 - 4*c**2 - c + 3. Let y be f(-4). Suppose -a + 5 = z, -z + y = a + 2*z. Suppose -m + a*m = -18. Determine b(m). 9 Let b = -129 - -125. Let h(m) be the second derivative of -m**4/6 - 2*m**3/3 - m. What is h(b)? -16 Let d = 1060 - 12719/12. Let n(g) be the third derivative of -1/120*g**6 + 1/2*g**3 + 0*g + d*g**4 - 9*g**2 - 1/30*g**5 + 0. Give n(-3). 6 Suppose 0 = -5*v - 5*q + 155, 5*v - 178 - 1 = 3*q. Let a = v + -42. Let p(m) = 2*m + 12. Determine p(a). -4 Suppose 2*o + 0 - 24 = -3*y, 0 = 5*y - 2*o - 24. Let a(j) = -5*j**2 + 6*j + 11. Let z(v) = 9*v**2 - 12*v - 21. Let t(i) = -7*a(i) - 4*z(i). Calculate t(y). 7 Let f(q) = -78*q - 10. Let s be f(0). Let v(m) = -2*m + 10. What is v(s)? 30 Let c(s) be the second derivative of s**5/60 + s**4/6 + 5*s**3/6 - s**2 - 3*s. Let x(i) be the first derivative of c(i). What is x(-4)? 5 Let v = -29 - -35. Suppose 2*d + v = 0, 0 = -4*q + 5*d - 0 - 5. Let g(p) = 7*p - 3. Let u(w) = -w. Let m(j) = -g(j) - 5*u(j). Calculate m(q). 13 Let b(z) = -4*z + 7. Let r(v) = 10*v**3 + 2*v**2 + 5*v + 3. Let o be r(-1). Calculate b(o). 47 Let k(l) = l**3 - 18*l**2 + 16*l + 29. Suppose -11*f + 986 = 47*f. Determine k(f). 12 Let n(g) = g**3 + g**2 + 9. Let c be n(0). Suppose 8*o - c*o = -2. Let i(r) = 2*r + r**3 - r - 2*r**3. What is i(o)? -6 Let f(i) be the first derivative of -3*i**2/2 - 10*i + 68. Calculate f(-4). 2 Let n(w) = w**2 + 6*w - 3. Let f(o) be the third derivative of -o**5/10 - 31*o**4/24 + 8*o**3/3 - 20*o**2. Let p(c) = 2*f(c) + 11*n(c). Determine p(5). -6 Let x(l) = 7*l**2 + 3*l + 2. Let c be x(-1). Let s(h) be the second derivative of 0 - 1/6*h**3 + 7/2*h**2 + 5*h. Calculate s(c). 1 Let x(w) = 2*w**2 - 48*w - 164. L
{ "pile_set_name": "DM Mathematics" }
11 = -w - 4*j + a, -3*w + 2*j = 13 for w. -1 Suppose 3*p - 4758 = -4740. Solve a = n + p, -n - 6*a = -2*a - 9 for n. -3 Let b(v) = -v**2 + 11*v + 160. Let m be b(19). Solve -m*i + 2 = -11*i - 2*s, -2*i - 5*s + 6 = 0 for i. -2 Let c = 123 - 120. Solve -c*p + 4*k = -11, 3*p - 4*k + 6*k = -1 for p. 1 Suppose -2*x + 4*t = -7 + 73, -4*x + 3*t - 132 = 0. Let g = 38 + x. Solve 5*s - 10 = -g*a, -4*a + 2*s + 0*s = -2 for a. 1 Let k = -34 - -37. Suppose -b + 2 = 4*q - k*q, -6 = -b + q. Solve 0 = -b*f - 3*u + 18, 0*f + 3*f = 3*u + 3 for f. 3 Let u = 1 - -3. Let a be 2*1 + u/2. Let b(v) = -v**2 + 4*v + 2. Let f be b(a). Solve 3*q = -2*l + 4 - f, -2*l - 4*q = -2 for l. 1 Let q be 8*(3 - 2) - 7. Solve -3*p = -6*j + j - 16, q = -2*j + 3*p for j. -5 Let m = 12 + -8. Let n(o) = -4*o**3 + 9*o**3 - 3*o**2 - 2 + 8*o**2 - m*o**3 - 8*o. Let u be n(-6). Solve 3*y - p + 2*p + 15 = 0, 2*p = -y - u for y. -4 Let m be (-5 - -6)*8/2. Let x be (2 + -1)*1*3. Suppose 2*b + 5 + x = 0, 2*b - 14 = -2*i. Solve 4*j - 2 + i = 3*t, -15 = 3*t + m*j for t. -1 Let m = 9 + -10. Let v be 3 + (m + 4)*7. Suppose -4*a - 4 = -v. Solve -3*y + a*y = 5*i - 19, 5*y - 40 = -5*i for i. 5 Let u be -1*4 - (1 - 240/3). Let j = u - 70. Suppose 0 = -3*a - a. Solve j*x + y + 4 - 20 = a, -5*x + 18 = 3*y for x. 3 Let c = 90 + -85. Suppose 64 = 5*l - l - 4*m, 0 = 2*l + m - 41. Solve c*y + 3*u = -37, -y = 5*u + l + 6 for y. -5 Suppose -6*q + 7 = q. Let n be (((-8)/(-12))/(2/9))/q. Solve d - 4*s - 13 = 0, n*d + 6 = -s - 7 for d. -3 Let r be 2652/85 - (-12)/(-10). Solve 5*n + r = 5*c, 0 = n - 6 + 10 for c. 2 Suppose k - 3*k = -r, 0 = r + 5*k - 21. Solve -3*h - 3*l + r = -6*l, -h - 3*l - 18 = 0 for h. -3 Suppose 5*s - 20 = 0, 3*s + 8 + 8 = 4*l. Let w = -2005 + 2008. Solve -w*h - 14 = o, 5*o - 23 - l = 5*h for o. 1 Suppose 0 = -3*g - 0*g + 129. Suppose 3*v + 96 = 5*d, -2*v - 27 = -3*d + 31. Suppose -g = -5*j - d. Solve b - i - 2 - j = 0, 2*i + 22 = 4*b for b. 4 Let l(f) = -6*f**2 - f + 5*f**2 + 5*f. Let v be l(3). Suppose 2*d = -v*d + 10. Solve -4*x - 29 = -5*n, 0 = d*n + 2*x - 8 - 0 for n. 5 Suppose 0*b - 128 = 8*b. Let t be (-60)/b - (-3)/12. Solve -4*q = -o - 5, -o - t*o = 25 for q. 0 Suppose -4*l + 8*l - 90 = -2*o, 4*l - 3*o - 105 = 0. Solve -3*i + 6*b - 3*b = -l, 3*i + 3*b = 0 for i. 4 Let c(o) = -4*o**3 - o**2 - o - 1. Let l be c(2). Let d = -35 - l. Solve w + d*h + 0 - 1 = 0, -4*w - h = -19 for w. 5 Suppose -4*n + 47 = 5*s + 22, 15 = -2*n + 3*s. Solve -4*x = -4*f - n*f - 4, f = 4*x + 11 for x. -4 Let d(b) = -5*b**3 + b**2. Let i be d(-1). Let c be -3 - (-1 - (-3 + 5)). Suppose -i*t + 7*t - 3 = c. Solve 3 = -3*w + 6, -t*s - 4*w + 13 = 0 for s. 3 Let q = 1275 + -1271. Solve q*w - g = 10, -3*g = -4*w - 5*g + 16 for w. 3 Let b = -49 + 54. Suppose b*h = 3*h + a + 6, 1 = -3*h + 4*a. Solve 2*l - z = -6, -h*l + 4*z - 12 = -0 for l. -4 Suppose 2*o = -6*o + 32. Solve -o*n + 2*d + 11 = -9*n, -5*d - 17 = 2*n for n. -1 Let d(j) be the first derivative of -5*j**2/2 - 40*j - 4. Let p be d(-8). Solve -2*i + 4*h = -h, p = -2*i - 5*h for i. 0 Suppose -8*k - 71 = 1. Let h(t) = 2*t**3 + t**2 - 2*t. Let d be h(2). Let u = d + k. Solve -5*g = -10, g - u = b - 0*g for b. -5 Let q = 25 + 17. Suppose -q = -2*k - 12. Solve f = -f + 5*p - 3, -k = 4*f - p for f. -4 Let w be -1 + -1 + -2 + 6. Let s be ((-44)/4)/(w + -3). Suppose s + 5 = 4*h. Solve -15 = -5*m + n - 2*n, h*n - 6 = -2*m for m. 3 Let d(p) = p**2 - 4*p + 4. Let q be d(3). Suppose -5*x + 1 = -c - 4, -x + q = c. Solve -2*v + 0*v = 2*w + 8, c = 2*w + 4 for v. -2 Let o = 3135 + -3135. Let p be (-8)/(-6)*(3 - 0). Let x(l) = 2*l - 7. Let t be x(6). Solve p*f = a + t, 3*f - a + 3*a - 12 = o for f. 2 Let n = -664 - -668. Solve 2*j - 6 = -3*m + j, -n*m = -2*j - 8 for m. 2 Let x(q) be the second derivative of -q**3/2 + 20*q**2 + 21*q. Let h be x(13). Solve 2*i = 4*d - 10, -h - 3 = 5*i - 3*d for i. 1 Let m be ((-1)/2*-1)/((-12)/(-96)). Solve 4*q + 12 = 5*r, m*q = 3*r - 3 - 9 for r. 0 Let d(i) = i**2 - 9*i + 3. Let a be d(8). Let n(x) = 2*x + 18. Let l be n(a). Solve 0 = -3*h + 3*v - 24, 3*v - 18 = -7*h + l*h for h. -3 Let z(o) = -4*o - 6. Let a be z(-4). Let q(j) = -3*j + 6. Let u be q(0). Let b be u*((-50)/(-6))/5. Solve -5*h = 2*g - b, 7*h = 3*h + 2*g - a for h. 0 Let w(k) = -k**3 - 4*k**2 - 3*k - 33. Let f be w(-5). Solve -3*t = -f*t + 5*m + 3, 24 = -4*t - 4*m for t. -3 Let a(m) = m**2 - 2*m - 5. Let z be a(4). Let s(d) = d**3 + 4*d**2 - 4*d + 7. Let v be s(-5). Solve v*t = -o - o - 6, 2*o + 4 = -z*t for o. -5 Suppose 193*s - 183*s - 40 = 0. Solve -s*i + 3*m - 3 = -9*i, -4*i + m = -16 for i. 3 Suppose 67 = 5*b - 5*s - 68, -2*b - 3*s + 34 = 0. Solve 1 = -a - 2*o, -b = -3*a - a + o for a. 5 Let v(t) = -t - 5. Let l be v(-4). Let n be l/(-2) - (-5)/(-10). Let w(o) = 2*o**2 + 5*o - 5. Let u be w(-5). Solve n = -5*i + u, -2*r = -i + 1 - 3 for r. 3 Let x = 797 - 794. Solve 9 + 1 = -4*n - 5*i, -x*n - 5 = 5*i for n. -5 Suppose -13*i - 24*i = -11*i. Solve 0 = -o - 5*y + 20, -2*o + y + i*y = 15 for o. -5 Suppose 2*c + 2*g = 5*c + 54, -5*g + 85 = -5*c. Let b be 3/(-9) - c/6. Suppose -b*x = 13 - 22. Solve 5*u + 2*z = -0*u + 33, -x*z = -4*u + 8 for u. 5 Let b be 6/(-1 - (-11)/8). Suppose -7*n + 5 = -b. Let v be (n/(-2))/((-21)/28). Solve v*z + 0*p + 2 = -2*p, 3*z = -p - 9 for z. -4 Let i = -1305 - -1315. Solve -5*q - y + i = 1, 5*y = -5 for q. 2 Suppose 33*k - 124 = 41. Solve 2*y + z = 5*y + 13, 5*z = k for y. -4 Let m(t) = -t**3 - t**2 + t + 1. Let p be m(-2). Let x be 21 + -2*(4 - p). Let u = x + -15. Solve u*h = -3*i - 28, 4*h + 6 + 14 = -i for i. -4 Let l(j) = 25*j + 28. Let a be l(-1). Solve -a*m + 4*c = -5, 8*m - 9*m + 1 = -c for m. -1 Suppose 9*c - 21 = -3. Suppose p + 9 = 3*p - t, -5*p - t + 12 = 0. Solve -4*n = p*l - 26, -c*n = l - 11 - 1 for l. 2 Let b be 2 - 0*1/2. Suppose 0 = -b*d + 4, -g = 3*g - d - 22. Suppose 0*x = x - g. Solve -2*a + 2*v - x = 2, -2*v - 12 = 3*a for a. -4 Suppose 17*b - 15*b = 4. Solve b*p = -2*w - 16, p - 31 = 2*w + 6*p for w. -3 Suppose -b = -6*b - 25, -4*y - 123 = 3*b. Let z = 28 + y. Solve -s + z = 3*j, 0 = -2*j - s - s + 6 for j. -1 Let o(p) = p**2 + p - 3. Let s be o(-4). Suppose 3*z + s - 18 = 0. Suppose -z = 4*v - 15. Solve -4*j = -v*h + 2, -5*j + h + 4*h - 5 = 0 for j. 1 Suppose i + b - 15 = 0, 55 - 5 = 2*i - 2*b. Solve -l + 0*l = 5*f + i, 10 = -2*f for l. 5 Let n be 0 - -1 - (-4 - -3). Let p(y) = -y + 1. Let x(i) = 5*i + 3. Let j(a) = -4*p(a) - x(a). Let o be j(-10). Solve -o*z + n = 4*d, 2*z + 12 + 2 = 5*d for d. 2 Suppose 2*y + 22 = 7*y - c, y + 2*c = 0. Suppose y*z = 5*n - 8, -2*z = -4*n + 3*z + 1. Solve n*r - 5*r - 2*l = 10, 0 = -4*r + 5*l + 12 for r. -2 Let o be (-2 + 0)*(3 + -11). Let d = o + -16. Solve -3*q = -3*p + 9, d = -p + 2*p for q. -3 Suppose 2*c + 10 = 0, p + 8 = -0*p - 2*c. Solve n - 18 + 3 = -5*o, -28 = -p*o + 4*n for o. 4 Suppose -37 - 47 = -4*y. Let t be (-18)/y*14/(-3). Suppose 3*q + n - 2 = 0, t*n - 6 = 5*q + n. Solve -m = 3*c - 7, -2*m - 3*c - 2*c + 11 = q for m. -2 Let d = 6 + -4. Let v = 4 - d. Suppose -2*c - 3 + 11 = 0. Solve -v = c*n - g + 1, 5 = -g for n. -2 Let x = -9 - -24. Let d(b) = -2*b**2 - 35*b - 7. Let j be d(-18). Let w = j - -33. Solve 5*u = x, -k + 5*u - 3 = w for k. 4 Suppose -3*a + 4 - 1 = 0. Suppose 0 = t + a. Let d = 3 - t. Solve -5*h + 22 = d*s - 0*h, 5*s - 11 = 2*h for s. 3 Let r(o) = -o**3 + 8*o**2 + 8*o + 11. Let z be r(9). Let v = -1 + z. Let b = -1 + v. Solve -5*y - 2*i + 8 = b, -2 = -5*i - 7 for y. 2 Let l = 97 + -96. Suppose 0 = 4*v + 5*q - 0 - l, -2*v + 2 = 2*q. Solve 0 = r + 5*i - 12 - 0, 0 = -v*r - 5*i + 18 for r. 2 Let s(m) = -m**3 - 4*m**2 - m + 1. Let l be s(-4). Let d be (5 + l)*(-4)/(-8). Solve c + 17 = 4*t + 4*c, -d*c - 5 = 0 for t. 5 Let j(n) = 10*n - 250. Let r be j(25). Solve -m - 3 = r, 5*g - 9 = 3*m - 0*m for g. 0 Let c be (15/(-2))/(3/(-4)). Let s = -11 + c. Let h be (3 - (3 + 0))/s. Solve -2*d - 4*b = -h*d + 8, -b - 9 = -3*d for d. 2 Let k(o) = o**2 + o + 8. Let a be 3/(-6)*(-1 + 1). Let g be k(a). Let q = 12 - g. Solve 2*s + 3 = 5*l, -2*s + 0*l - 2 = -q*l for s. 1 Suppose 5*c - 14 = 1. Suppose 3*h = 3, 22*r - h = 26*r - 13. Solve 0 = 2*q - 5*o + 8, 0 = 5*q - c*o - 2 + r for q. 1 Suppose -r + 2*u + 1 + 2 = 0, -4*r = -5*u - 18. Suppose 105 = r*o - 70. Solve -3*g = s + g - o, -3*
{ "pile_set_name": "DM Mathematics" }
ding order. 2/11, -0.1, g, -125 Let x = -1539 + 1568. Put x, -1, 5 in increasing order. -1, 5, x Let l = -0.9 - -0.8. Suppose -2*d - 5*j = -6, -3*d + 2*d + 3 = -2*j. Suppose f + 5 = d. Sort -0.2, l, f in ascending order. f, -0.2, l Let h = 58 - 34. Let n = h + -24.1. Put n, 0.4, -3/2 in descending order. 0.4, n, -3/2 Let b = -1045/3 + 349. Put -7, 24, b, -2 in decreasing order. 24, b, -2, -7 Let n = -37 - -42. Let t = 47.6 - 43.6. Sort n, -4/3, t, -2 in descending order. n, t, -4/3, -2 Let t be (-34)/(-10) + (-216)/(-360). Sort 2, t, 5, 89 in increasing order. 2, t, 5, 89 Let b = -0.67 + 0.07. Let n = 33.2 - 29. Let l = -5.2 + n. Put -4, l, b in ascending order. -4, l, b Let l be (6/(-9))/(8 + (-6050)/759). Put l, 0.5, 0.3, 4 in descending order. 4, 0.5, 0.3, l Let s be (-10)/(-35) + 2133/(-189). Sort -5, -23, s, 2. -23, s, -5, 2 Let k = 19/186 - 691/1302. Let x = 0.5 - -3.5. Let g = x + -3. Put k, g, -2 in descending order. g, k, -2 Suppose 18*q - 20*q = -20. Let b be (-15)/(-25) - 56/q. Suppose 2*d + 0 = -3*p + 11, -d = -2*p + 12. Sort b, 5, d. b, d, 5 Suppose 5*n - 2*u = 0, 7*n - 11*n + 3*u = 0. Sort -4, -10, n in decreasing order. n, -4, -10 Let t = -171 - -241. Let z = 65 - t. Let w be (-1)/(-2) - 4/6. Sort z, -0.5, w in descending order. w, -0.5, z Let t = 131 - 657/5. Put 0, t, -4, 4 in descending order. 4, 0, t, -4 Let p be (-1)/4 + 501/(-12). Let h be (-118)/6 + (-28)/p. Let k = h - -19. Sort -2, k, 0.1 in descending order. 0.1, k, -2 Let y = -6.12 + 6.42. Sort 0, 20/7, 5, y in increasing order. 0, y, 20/7, 5 Let c = -28 + 31. Suppose 4*r - 22 = -2*j, c*j = -3*r + r + 13. Put -1, 4, r in increasing order. -1, 4, r Let c = 23 + -20. Let i be 39/9 - (-2)/c. Sort i, 1, -7 in ascending order. -7, 1, i Let h = -14 + 2. Let m = 17 + h. Sort -5, m, 3, -4/3 in increasing order. -5, -4/3, 3, m Let l(f) = 28*f - 2. Let o be l(0). Suppose -5*d - 1 = 19. Put 3, o, -1, d in decreasing order. 3, -1, o, d Suppose 3*g + 1 = 4. Suppose 3*k + 3*k = 222. Suppose 0 = -6*j - k + 7. Sort -6, j, g in descending order. g, j, -6 Let i = 9.47 + -9.5. Let z = 0.07 - i. Put z, -0.5, 6/7, 0 in decreasing order. 6/7, z, 0, -0.5 Let v be (-4)/5 + (-176)/(-120). Sort 0.4, -0.1, 3, v. -0.1, 0.4, v, 3 Suppose 5*a = -4*a + 261. Sort a, 0, 1, -5 in descending order. a, 1, 0, -5 Let k = -7 - -9. Suppose g = -j - j + 7, -4*g - 32 = -k*j. Suppose 5*s - j - 4 = 0. Put s, -1, 0 in increasing order. -1, 0, s Let f = 0.733 - -6.267. Sort 13, 4, f in increasing order. 4, f, 13 Let t be -7*(2 + -6) + 2. Suppose -4*d - r + 7 + t = 0, 2*d = -4*r + 22. Sort 5, -2, d. -2, 5, d Let u = 0.21 + -58.21. Let g = 43 + u. Sort 5, -2/15, g in decreasing order. 5, -2/15, g Let b be 10/18*(-8)/20. Let y be 3 + 1 - (-28)/(-5). Put b, y, -0.2 in increasing order. y, b, -0.2 Let z = 2098/21 - 100. Let q be ((-30)/9)/(-5)*6/(-8). Put -2/5, q, z in increasing order. q, -2/5, z Let p = 0.478 - -0.092. Let u = p - 0.24. Let r = 0.13 - u. Put r, -1, 0 in decreasing order. 0, r, -1 Let o = -504/815 + 3/163. Put o, -0.8, 3 in descending order. 3, o, -0.8 Suppose 3*c + 20 = f, -2*c + 64 = 4*f - 30. Let g = f + -24. Put -7, -5, g in increasing order. -7, -5, g Let u = 2 + -2.2. Suppose q - 13 = -p, -25 = -2*p + q - 4*q. Suppose -p = -5*o + 11. Put u, -3, o in decreasing order. o, u, -3 Let g = 1487 + -1486.6. Sort -0.01, g, 1/5, 1 in decreasing order. 1, g, 1/5, -0.01 Let i be 5/1*(-10 - -3). Let k = i + 23. Let m = k + 12. Sort -4, 5, m. -4, m, 5 Let q = -2.8 - -2.97. Let b = q - -0.03. Put b, 0.1, 4 in increasing order. 0.1, b, 4 Let s be (6/2)/(-4 + (-29)/(-7)). Suppose -d + s = 20. Let u(h) = -h**3 - 3*h**2 + h. Let p be u(-3). Put d, p, -2 in decreasing order. d, -2, p Suppose 0*d + 16 = d - 5*i, -4*i = 3*d - 86. Let x = -23 + d. Sort -5, 5, x. -5, x, 5 Let v(n) = 2*n**2 - 337*n + 669. Let c be v(2). Let a = 5 + -7. Sort c, a, -4 in decreasing order. c, a, -4 Let v be ((-166)/54 + 3)/3. Let d = v - 25/81. Suppose -39 = -p - 36. Put p, 3/4, d in ascending order. d, 3/4, p Let k = 2.9 - 3. Let y = 0.027 - -1.073. Let d = k + y. Sort d, -4, -0.3 in increasing order. -4, -0.3, d Let k = -34 + 42. Let m(l) = -4*l + 35. Let v be m(k). Sort 5, v, -2, -4. -4, -2, v, 5 Let n = 0.22 + -0.12. Let z = -2335/11 + 212. Put z, -2, n in decreasing order. n, z, -2 Let t(q) = -2*q - 13. Let y be t(-16). Let l = 21 - y. Put l, -5, 6 in descending order. 6, l, -5 Let h(d) = -12*d + 9. Let t = 27 - 26. Let i be h(t). Put -4, 0, i in ascending order. -4, i, 0 Let y = -215/6 + 503/14. Let l(h) = -h**2 - 9*h + 10. Let w be l(-12). Let t be 23 + w - (2 + -2)/1. Put -0.4, t, y in decreasing order. y, -0.4, t Let u(s) = -s**3 - 6*s**2 + 6*s - 6. Let v be u(-7). Put 648, -1, v in increasing order. -1, v, 648 Let n = -213 + 174. Put -0.1, -2, 0, n in decreasing order. 0, -0.1, -2, n Let i = 7 + -2. Suppose -x + 18 = r - 5*r, -i*x = 5*r + 10. Suppose x = d + 4. Put -1, 0, d in increasing order. d, -1, 0 Suppose -10 = -3*k - 5*g + 4*g, -4*k + 7 = -5*g. Let f(c) = -6*c + 69. Let p be f(12). Sort p, 1, k in increasing order. p, 1, k Let c = -465.5 - -465. Suppose 0 + 3 = 3*s. Let g be (-3 + s)*10/4. Sort c, g, 0.2 in ascending order. g, c, 0.2 Let u = 0.42 + -0.02. Let y = 248 - 1487/6. Sort u, y, 12 in descending order. 12, u, y Let m = -40 - -66. Let w = m - 16. Let o = 10.4 - w. Put -3, o, -4 in decreasing order. o, -3, -4 Suppose 4*a + a = 0. Suppose -r = -0*r - a*r. Put 1, -30, r in descending order. 1, r, -30 Let i(w) = -w**3 + 8*w**2 - w + 11. Let k be i(8). Suppose 2*b - k*b = 1. Suppose 0 = -4*y, 4*d + 2*y - 8 = 5*y. Put d, 1, b in increasing order. b, 1, d Suppose -1921*p + 20 = -1926*p. Sort 5, p, 3 in descending order. 5, 3, p Let w = 2843/2268 + -2/567. Let f be 3 + -2 + 2 + -18. Let j = 10 + f. Put j, -6, w in decreasing order. w, j, -6 Let b = -10485/11 + 953. Sort b, -2/3, -3 in ascending order. -3, -2/3, b Let j be (2 - 0)/2 - 2. Let h be (-20)/(-11) + 4/22. Let w be (1 - 2)*(-4 - -3). Sort h, w, j. j, w, h Let r be 2/(-3) + (-52)/12. Suppose n - 16 = 3*n - 4*q, 3*q - 15 = 0. Let h be 1/(5/(-6)*(-4)/10). Sort h, r, n. r, n, h Let c = 128 - 132. Put 2/9, 1/5, c in decreasing order. 2/9, 1/5, c Suppose n - 29 + 32 = 0. Let z = 39 - 36. Sort -17, z, n. -17, n, z Let n be (-1)/10*20/(-15). Put n, -0.2, 1/9, -0.3 in increasing order. -0.3, -0.2, 1/9, n Let g = -1.8 - -1.9. Suppose -l + 4*l = 5*d + 14, 0 = -4*l + d + 13. Sort l, g, -5 in decreasing order. l, g, -5 Let s be 3525/564 + 10/(-8). Put s, -3, -14 in decreasing order. s, -3, -14 Let i = -27.05 - -29. Let f = -0.05 - i. Let t = -955 + 943. Sort t, f, -0.5. t, f, -0.5 Suppose -4*z + 30 = 2*g, 2*z - 5 = -2*g - g. Let i be (0 + z)*(-2)/4. Let r be 78/15 + 1/i. Sort -3, r, 3 in descending order. r, 3, -3 Let r = -1 - -1.2. Let q = -0.5435 + 0.0435. Put r, -3/7, q in decreasing order. r, -3/7, q Suppose 7*s - 26*s - 19 = 0. Sort 1, 213, s in ascending order. s, 1, 213 Suppose -24 = -54*n + 46*n. Put n, -46, 1, -3 in ascending order. -46, -3, 1, n Suppose 0*r + r - 2 = 0, r - 2 = -4*c. Put 3, 14, 2, c in decreasing order. 14, 3, 2, c Let k(z) = -z + 1. Let j be k(-4). Let n(g) = g**2 - 3*g + 3. Let p be n(3). Suppose j*s = -12 - p. Put 2, -0.3, s in increasing order. s, -0.3, 2 Let s(t) = -t**3 + 3*t**2 + t + 4. Let u be s(4). Sort 2, -5, u. u, -5, 2 Let m be ((-2)/(-3))/((-2)/(-6)). Let z be m*(-2)/(-12)*18. Let i be (-6)/9*(-27)/z. Put 6, i, 4 in descending order. 6, 4, i Let k = 182 + -181.7. Let p = -0.54 - -0.5. Sort p, -2, k in decreasing order. k, p, -2 Let h be ((-17)/(-15) + -1)/((-18)/30). Suppose 6 - 21 = 3*z. Put z, h, 27 in increasing order. z, h, 27 Suppose 0 = 62*b - 72*b - 40. Let t(s) = -s**3 - 2*s**2 + 5*s + 3. Let o be t(-3). Let j be 2/o*(-6 - 0). Sort j, b, -2. b, -2, j Let f = -6 + -5. Let g be (-1904)/1144 - (-2)/f - -2. Put g, 0.06, 2, 5/3 in descending order. 2, 5/3, g, 0.06 Let m be (-12 + 11)/((-2)/4). Suppose -m*q = -8 + 28. Let u = -9 - q. Sort -1, u, 2. -1, u, 2 Suppose -b - 938 = -4*a, -2*b = -16*a + 12*a + 936. Put -5, 1, a in descending order. a, 1, -5 Suppose 0 = 4*b - 12, -2*k - 56 = -4*b - 48. Let v be ((-5)/3)/((-1)/3). Suppose -v*o + 2*c - 17 = -8, 0 = k*o - 3*c + 8. Put 5, o, -3 in descending order. 5, o, -3 Let w(r) = 4*r +
{ "pile_set_name": "DM Mathematics" }
**3/5 - 2204*x**2/5 + 1468*x/5 = 0. 0, 2/3, 734 Suppose 5*c**3 + 2125*c**2 + 14330*c - 125400 = 0. Calculate c. -418, -12, 5 Suppose 3*b**3 + 2454*b**2 + 12207*b + 9756 = 0. What is b? -813, -4, -1 Factor -x**2 - 9403*x. -x*(x + 9403) Find x such that x**2/7 + 16*x + 535/7 = 0. -107, -5 Find c, given that -c**2/9 - 8261*c/9 - 65896/3 = 0. -8237, -24 Find w, given that 5*w**5 + 1090*w**4 + 57190*w**3 - 240880*w**2 + 305805*w - 123210 = 0. -111, 1, 2 Let -s**4 - 4247*s**3 - 12732*s**2 + 4*s + 16976 = 0. Calculate s. -4244, -2, 1 Factor 5*m**4/4 + 20681*m**3/8 + 2673407*m**2/2 + 267289*m/2. m*(m + 1034)**2*(10*m + 1)/8 Factor 5*o**5/4 - 3725495*o**4/2 + 2775862599005*o**3/4. 5*o**3*(o - 745099)**2/4 Let -2*t**5/3 + 84*t**4 - 3206*t**3/3 + 2628*t**2 - 4928*t/3 = 0. What is t? 0, 1, 2, 11, 112 Factor -2*j**2 - 897468*j - 100681101378. -2*(j + 224367)**2 What is d in -2*d**3/3 + 46*d**2 - 1936*d/3 + 600 = 0? 1, 18, 50 Factor -3*r**3/8 + 1209*r**2/4 - 42795*r/8 + 47871/2. -3*(r - 788)*(r - 9)**2/8 Factor o**3 - 22*o**2 + 89*o - 68. (o - 17)*(o - 4)*(o - 1) Solve g**4/3 + 7*g**3 - 4*g**2 - 236*g/3 + 112 = 0. -21, -4, 2 Suppose -5*q**2 - 15600*q - 62320 = 0. What is q? -3116, -4 Find y, given that 4*y**2/5 - 11591184*y/5 + 8397221657616/5 = 0. 1448898 Factor 2*v**2 + 105984*v - 211976. 2*(v - 2)*(v + 52994) Factor r**4/5 - 1999*r**3/5 - 9672*r**2 - 387904*r/5 - 1035776/5. (r - 2023)*(r + 8)**3/5 Let -2*v**3 + 13166*v**2 + 343330*v + 2233842 = 0. What is v? -13, 6609 Factor -2*z**2/3 - 48212*z/3. -2*z*(z + 24106)/3 Find y such that 3*y**2/4 + 2043*y/4 + 4038 = 0. -673, -8 Factor -2*u**2/5 - 296*u/5 - 448. -2*(u + 8)*(u + 140)/5 Suppose g**5/6 - 422*g**4 - 847*g**3/2 + 10126*g**2/3 + 5066*g = 0. Calculate g. -2, 0, 3, 2533 Find n such that 4*n**2 - 7604*n - 138168 = 0. -18, 1919 Determine x, given that -4*x**4 + 20628*x**3 - 185384*x**2 + 288288*x = 0. 0, 2, 7, 5148 Factor -4*s**4 - 14220*s**3 - 113504*s**2. -4*s**2*(s + 8)*(s + 3547) Find g, given that -g**4/5 - 278837*g**3/5 + 557677*g**2/5 - 278839*g/5 = 0. -278839, 0, 1 Suppose -2*v**5/3 - 1192*v**4 - 17812*v**3/3 + 10752*v**2 + 96354*v + 128376 = 0. Calculate v. -1783, -3, 4 Factor -p**2 + 128561*p - 385674. -(p - 128558)*(p - 3) Determine v so that -2*v**2 - 896*v - 23520 = 0. -420, -28 Determine u, given that -2*u**3/5 - 151*u**2/5 - 634*u/5 + 71 = 0. -71, -5, 1/2 Let -14*q**4 - 333334*q**3/3 + 492134*q**2/3 - 174634*q/3 + 5292 = 0. What is q? -7938, 1/7, 1/3, 1 Let -3*s**3/4 - 33*s**2 + 153*s/4 + 405/2 = 0. What is s? -45, -2, 3 Factor n**2/3 + 22136*n/3 - 51667. (n - 7)*(n + 22143)/3 Let -5*o**3 + 7925*o**2 - 2928440*o - 170626620 = 0. What is o? -51, 818 Determine q so that -4*q**4 + 13116*q**3 + 39372*q**2 + 39380*q + 13128 = 0. -1, 3282 Factor 3*r**3 - 2448*r**2 + 554967*r - 22003350. 3*(r - 383)**2*(r - 50) Solve -2*i**2/7 + 11954*i/7 + 13680 = 0 for i. -8, 5985 Suppose -v**4/5 + 147*v**3 - 1163*v**2 - 147*v + 5816/5 = 0. What is v? -1, 1, 8, 727 Factor -5*r**2/6 - 3290*r/3 + 6590/3. -5*(r - 2)*(r + 1318)/6 Suppose z**4 + 12499*z**3 + 12497*z**2 - 12499*z - 12498 = 0. What is z? -12498, -1, 1 Solve 2*r**2/5 + 8862*r/5 - 26604/5 = 0 for r. -4434, 3 Let 2*q**5/3 + 238*q**4/3 + 2500*q**3 + 25400*q**2/3 - 30032*q/3 - 35136 = 0. What is q? -61, -54, -4, -2, 2 Factor -2*t**3/3 - 22828*t**2/3 - 21789126*t - 432744120. -2*(t + 20)*(t + 5697)**2/3 Find i such that 8*i**5/13 - 2264*i**4/13 + 75402*i**3/13 - 633344*i**2/13 - 691030*i/13 - 177612/13 = 0. -1/2, 19, 246 Factor 21*i**3 + 56505*i**2 + 265884*i - 80580. 3*(i + 5)*(i + 2686)*(7*i - 2) Let 2*k**5/5 - 54*k**4/5 - 192*k**3/5 + 304*k**2/5 + 1632*k/5 + 288 = 0. Calculate k. -2, 3, 30 Suppose -18*g**2/7 + 44426*g/7 - 4936/7 = 0. Calculate g. 1/9, 2468 Determine z so that 3*z**2/5 - 2199*z - 422142/5 = 0. -38, 3703 Solve 2*m**2/7 + 40*m - 6400/7 = 0 for m. -160, 20 Factor -5*h**2 - 294075*h + 294080. -5*(h - 1)*(h + 58816) Factor -5*k**3 + 515*k**2 - 14100*k + 103680. -5*(k - 64)*(k - 27)*(k - 12) Let -2*u**4/7 - 718*u**3/7 + 1368*u**2 - 35640*u/7 + 26784/7 = 0. What is u? -372, 1, 6 What is c in -2*c**3/9 + 380*c**2/9 + 3128*c/3 - 363952 = 0? -86, 138 Let 4*l**3 - 676*l**2 + 10044*l - 38556 = 0. What is l? 7, 9, 153 Suppose 18*g**5/5 + 396*g**4/5 + 1378*g**3/5 + 1496*g**2/5 + 72*g = 0. What is g? -18, -2, -5/3, -1/3, 0 Suppose 1121*m**3/3 - 309395*m**2/3 + 7116016*m + 6348 = 0. Calculate m. -1/1121, 138 Solve 3*v**5/2 - 19737*v**4/2 + 19731*v**3/2 + 19737*v**2/2 - 9867*v = 0 for v. -1, 0, 1, 6578 Factor -3*g**2/4 - 1065*g + 4272. -3*(g - 4)*(g + 1424)/4 Determine h, given that 3*h**4 - 30*h**3 - 237*h**2 + 1560*h = 0. -8, 0, 5, 13 Let -2*u**2/5 - 2984308*u/5 - 1113261779858/5 = 0. Calculate u. -746077 Find u such that 9*u**5 - 228*u**4 + 1671*u**3 - 2760*u**2 - 276*u + 1584 = 0. -2/3, 1, 2, 11, 12 Factor -3*n**3/8 - 18*n**2 + 360*n - 1536. -3*(n - 8)**2*(n + 64)/8 Factor -4*i**3/7 + 12*i**2/7 + 40*i/7. -4*i*(i - 5)*(i + 2)/7 Factor -56*s**2 + 8570*s - 306. -2*(s - 153)*(28*s - 1) Solve 2*l**2 - 13382*l + 26756 = 0 for l. 2, 6689 Find g, given that -5*g**4/3 - 250*g**3/3 - 2185*g**2/3 - 1460*g/3 + 1300 = 0. -39, -10, -2, 1 Solve 2*g**3/3 + 14536*g**2/3 - 4850*g - 29076 = 0. -7269, -2, 3 Factor 2*h**2 + 498*h + 14256. 2*(h + 33)*(h + 216) Let -4*u**5 - 300*u**4 - 6052*u**3 - 43428*u**2 - 81928*u + 131712 = 0. Calculate u. -48, -14, -7, 1 Find t, given that -15*t**3 + 95365*t**2 + 604550*t + 190920 = 0. -6, -1/3, 6364 Let -3*t**5/4 + 27*t**4/4 + 33*t**3/4 - 531*t**2/4 - 15*t/2 + 126 = 0. Calculate t. -4, -1, 1, 6, 7 What is j in 2*j**2/3 - 77288*j/3 + 746679368/3 = 0? 19322 Factor 15*c**2 + 1149310*c + 766200. 5*(c + 76620)*(3*c + 2) Factor r**2 + 10840*r - 32529. (r - 3)*(r + 10843) Determine k, given that 2*k**3/5 + 158*k**2/5 + 52*k - 3696/5 = 0. -77, -6, 4 Solve -b**5 - 109*b**4 + 233*b**3 + 1209*b**2 - 1332*b = 0. -111, -3, 0, 1, 4 Find w such that -w**2/2 + 178*w - 2720 = 0. 16, 340 Solve 4*h**5 - 484*h**4 + 11752*h**3 - 32392*h**2 + 31444*h - 10324 = 0. 1, 29, 89 Let 3*o**3 - 21858*o**2 + 40161771*o - 1262892384 = 0. Calculate o. 32, 3627 Determine y, given that 3*y**4/2 - 303615*y**3/2 + 7681687209*y**2/2 + 7681990827*y/2 = 0. -1, 0, 50603 Factor 5*o**5 - 15*o**4 - 65*o**3 + 255*o**2 - 180*o. 5*o*(o - 3)**2*(o - 1)*(o + 4) Factor -5*y**2/3 + 119*y/3 - 92/3. -(y - 23)*(5*y - 4)/3 Factor 4*v**4 - 400*v**3 - 5428*v**2 + 5824*v. 4*v*(v - 112)*(v - 1)*(v + 13) Factor 8*q**3 - 282*q**2 - 1580*q + 2400. 2*(q - 40)*(q + 6)*(4*q - 5) Find w such that -4*w**3 - 3528*w**2 + 7068*w - 3536 = 0. -884, 1 Factor -2*d**2/15 + 2952*d/5 + 1591946/15. -2*(d - 4601)*(d + 173)/15 Factor -2*x**3/13 + 756*x**2/13 - 74370*x/13 + 547600/13. -2*(x - 185)**2*(x - 8)/13 Factor -2*w**4 + 3922*w**3 + 19660*w**2. -2*w**2*(w - 1966)*(w + 5) Factor 2*y**3 + 426*y**2 - 2*y - 426. 2*(y - 1)*(y + 1)*(y + 213) Factor -m**3/8 + 1101*m**2/4. -m**2*(m - 2202)/8 Factor j**5/2 + 33*j**4/2 + 29*j**3/2 - 101*j**2/2 - 81*j - 32. (j - 2)*(j + 1)**3*(j + 32)/2 Factor -3*m**5 + 120*m**4 + 942*m**3 + 2076*m**2 + 1821*m + 564. -3*(m - 47)*(m + 1)**3*(m + 4) Determine o so that o**3/6 - 811*o**2/6 + 1619*o/6 - 809/6 = 0. 1, 809 Factor p**5 - 8861*p**4 - 35454*p**3 - 53186*p**2 - 35459*p - 8865. (p - 8865)*(p + 1)**4 Suppose -2*o**3/13 + 20740*o**2/13 - 41474*o/13 + 20736/13 = 0. Calculate o. 1, 10368 Determine g so that g**4/3 + 26459*g**3/3 + 175032899*g**2/3 + 175006441*g/3 = 0. -13229, -1, 0 Solve 4*k**3 + 13316*k**2 + 39920*k + 26608 = 0. -3326, -2, -1 Solve -100*u**5 + 7476*u**4 - 142300*u**3 + 87516*u**2 + 303104*u + 65712 = 0. -1, -6/25, 2, 37 Let -w**3/2 - 9*w**2 + 344*w + 720 = 0. What is w? -36, -2, 20 Factor c**2 - 7586*c - 22767. (c - 7589)*(c + 3) Suppose -3*d**3/2 - 185*d**2/2 + 536*d = 0. Calculate d. -67, 0, 16/3 What is r in -r**5 - 991*r**4 - 244026*r**3 + 742018*r**2 + 244027*r - 741027 = 0? -497, -1, 1, 3 Let -58*l**3 - 20028*l**2 - 1638666*l + 15789816 = 0. Calculate l. -177, 252/29 Solve 4*c**2/5 + 80704*c/5 + 407070976/5 = 0. -10088 Let 17*y**3 - 3572*y**2/5 + 36804*y/5 - 864/5 = 0. What is y? 2/85, 18, 24 Suppose -2*m**5 - 9738*m**4 - 68096*m**3 - 136152*m**2 - 77792*m = 0. Calculate m. -4862, -4, -2, -1, 0 Factor a**3/4 - 75*a**2 + 16029*a/4 + 8165/2. (a - 230)*(a
{ "pile_set_name": "DM Mathematics" }
r when 33272316 is divided by 206660? 56 Calculate the remainder when 312772 is divided by 189. 166 What is the remainder when 11102 is divided by 1611? 1436 Calculate the remainder when 14996823 is divided by 534. 501 What is the remainder when 10375494 is divided by 69633? 177 What is the remainder when 741630 is divided by 28487? 968 Calculate the remainder when 25180312 is divided by 16. 8 What is the remainder when 32183 is divided by 10173? 1664 Calculate the remainder when 426355 is divided by 213034. 287 Calculate the remainder when 307405 is divided by 5299. 63 Calculate the remainder when 7447 is divided by 180. 67 What is the remainder when 10534309 is divided by 1385? 1384 Calculate the remainder when 5999735 is divided by 153. 146 Calculate the remainder when 22811719 is divided by 733. 26 What is the remainder when 186233786 is divided by 3801? 3791 Calculate the remainder when 913441 is divided by 76115. 61 Calculate the remainder when 1572353 is divided by 11647. 8 What is the remainder when 498812 is divided by 4470? 2642 What is the remainder when 121559528 is divided by 19? 17 What is the remainder when 355476 is divided by 1217? 112 What is the remainder when 210973793 is divided by 146? 143 What is the remainder when 3361153 is divided by 60? 13 Calculate the remainder when 8850143 is divided by 1081. 1077 What is the remainder when 45112730 is divided by 393? 260 Calculate the remainder when 16921085 is divided by 755. 25 What is the remainder when 149381 is divided by 49298? 1487 Calculate the remainder when 7193348 is divided by 287729. 123 What is the remainder when 5941048 is divided by 52? 48 What is the remainder when 35022 is divided by 15702? 3618 What is the remainder when 1633684 is divided by 1583? 28 Calculate the remainder when 110123197 is divided by 446. 445 Calculate the remainder when 4160794 is divided by 832146. 64 Calculate the remainder when 151699738 is divided by 3933. 3928 What is the remainder when 311723 is divided by 427? 13 What is the remainder when 589448 is divided by 134? 116 Calculate the remainder when 122987 is divided by 2408. 179 What is the remainder when 192480 is divided by 81? 24 What is the remainder when 9455 is divided by 879? 665 What is the remainder when 41230 is divided by 6758? 682 Calculate the remainder when 3404071 is divided by 170202. 31 Calculate the remainder when 24960 is divided by 5573. 2668 What is the remainder when 164214870 is divided by 997? 994 What is the remainder when 1093009 is divided by 91080? 49 Calculate the remainder when 360669 is divided by 2216. 1677 Calculate the remainder when 97352 is divided by 1738. 24 What is the remainder when 137244 is divided by 12475? 19 Calculate the remainder when 4960568 is divided by 16. 8 What is the remainder when 2919590 is divided by 1742? 1740 What is the remainder when 1350475 is divided by 5874? 5329 Calculate the remainder when 9151078 is divided by 13761. 13 Calculate the remainder when 51114750 is divided by 99. 60 Calculate the remainder when 8463402 is divided by 151132. 10 Calculate the remainder when 151025 is divided by 209. 127 Calculate the remainder when 2429065 is divided by 5422. 9 Calculate the remainder when 73967754 is divided by 304. 298 What is the remainder when 7110233 is divided by 9331? 11 Calculate the remainder when 29938477 is divided by 42. 37 Calculate the remainder when 19160909 is divided by 29615. 4 What is the remainder when 48934375 is divided by 496? 7 What is the remainder when 9595130 is divided by 1897? 104 What is the remainder when 278595 is divided by 608? 131 Calculate the remainder when 50719777 is divided by 25359883. 11 Calculate the remainder when 1401672 is divided by 58403. 0 Calculate the remainder when 2591103 is divided by 215922. 39 What is the remainder when 1146982 is divided by 573131? 720 What is the remainder when 429162 is divided by 1960? 1882 Calculate the remainder when 31281525 is divided by 103. 13 What is the remainder when 925313398 is divided by 8247? 8245 Calculate the remainder when 234442647 is divided by 545. 542 What is the remainder when 258454 is divided by 43074? 10 Calculate the remainder when 151226 is divided by 1664. 1466 Calculate the remainder when 14803541 is divided by 178. 171 Calculate the remainder when 161167 is divided by 291. 244 Calculate the remainder when 11531645 is divided by 92. 89 What is the remainder when 7476805 is divided by 695? 690 What is the remainder when 5837206 is divided by 116744? 6 What is the remainder when 25986190 is divided by 4347? 4171 What is the remainder when 243417 is divided by 718? 15 What is the remainder when 83183 is divided by 2645? 1188 What is the remainder when 154724 is divided by 6709? 417 What is the remainder when 9513026 is divided by 929? 66 What is the remainder when 117330 is divided by 445? 295 Calculate the remainder when 45138381 is divided by 2402. 2399 Calculate the remainder when 309160 is divided by 102692. 1084 Calculate the remainder when 12778392 is divided by 13594. 32 Calculate the remainder when 72682 is divided by 14529. 37 Calculate the remainder when 7881540 is divided by 1391. 134 What is the remainder when 388766 is divided by 194261? 244 What is the remainder when 26082591 is divided by 524? 491 What is the remainder when 1928989 is divided by 503? 487 What is the remainder when 81188 is divided by 20148? 596 Calculate the remainder when 20108842 is divided by 804. 802 Calculate the remainder when 206242 is divided by 436. 14 What is the remainder when 739795 is divided by 134? 115 Calculate the remainder when 2123747 is divided by 39328. 35 Calculate the remainder when 1053758 is divided by 20. 18 What is the remainder when 1829416 is divided by 35? 1 Calculate the remainder when 18856653 is divided by 16. 13 What is the remainder when 267496234 is divided by 786? 784 Calculate the remainder when 92565 is divided by 2165. 1635 Calculate the remainder when 41705319 is divided by 1329. 1299 Calculate the remainder when 126341 is divided by 49. 19 What is the remainder when 777374934 is divided by 13? 11 What is the remainder when 3507288 is divided by 2901? 2880 Calculate the remainder when 306053945 is divided by 2999. 2996 Calculate the remainder when 16315587 is divided by 1812843. 0 What is the remainder when 200609 is divided by 22146? 1295 What is the remainder when 20524 is divided by 5968? 2620 Calculate the remainder when 230367 is divided by 76286. 1509 What is the remainder when 274864299 is divided by 673687? 3 Calculate the remainder when 87437995 is divided by 4484. 4479 What is the remainder when 7037322 is divided by 531? 510 Calculate the remainder when 41807427 is divided by 52. 51 Calculate the remainder when 100943162 is divided by 56. 26 What is the remainder when 29875660 is divided by 3? 1 Calculate the remainder when 15773459 is divided by 75. 59 Calculate the remainder when 35556 is divided by 1782. 1698 What is the remainder when 316927928 is divided by 356? 352 What is the remainder when 706170 is divided by 235382? 24 Calculate the remainder when 6090 is divided by 828. 294 What is the remainder when 9182905 is divided by 1204? 1201 Calculate the remainder when 839489 is divided by 144. 113 What is the remainder when 823609 is divided by 164689? 164 Calculate the remainder when 101244 is divided by 33719. 87 What is the remainder when 6346 is divided by 2315? 1716 What is the remainder when 1414028 is divided by 218? 80 Calculate the remainder when 7438602 is divided by 691. 678 What is the remainder when 421637 is divided by 33? 29 What is the remainder when 276754 is divided by 3548? 10 What is the remainder when 4355150 is divided by 1587? 422 Calculate the remainder when 193005 is divided by 192977. 28 Calculate the remainder when 448857 is divided by 400. 57 Calculate the remainder when 382356 is divided by 3261. 819 Calculate the remainder when 181055 is divided by 1022. 161 What is the remainder when 3571629 is divided by 326? 299 Calculate the remainder when 71543 is divided by 1177. 923 What is the remainder when 21975 is divided by 1095? 75 Calculate the remainder when 791029 is divided by 263629. 142 Calculate the re
{ "pile_set_name": "DM Mathematics" }
t l be j(-13). Suppose 24 = 4*n + 4*o, -l*n - 3 = o - 15. Solve 4*p = p + n*s + 9, 3*s + 23 = -4*p for p. -2 Let y = -67 - -66. Let v be 7*y/(-2) + 2/(-4). Solve 2*n = -3*m + n - 4, v*m = -4*n + 11 for m. -3 Let b be (-620)/(-68) - 4/34. Let w(i) = 23*i - 1 + 0 + b*i. Let u be w(1). Solve 4*o = 3*m + u, -5*o - 1 = 2*m - 11 for o. 4 Suppose -y + 3*q - 1 = 0, -3*y + 2*q = -8*y + 12. Let i = 3 - 0. Let x be 2/(i + -2) + 0. Solve -x*z - 5*s - 10 = 0, 0*s + 4 = 3*z - y*s for z. 0 Let x = 25 - 25. Suppose -2*t + 6*t - 16 = x. Solve -4*c - 3 - t = -5*y, 5*c = 10 for y. 3 Let o(n) = -5*n**3 - n**2 + 3*n + 2. Let i be o(-1). Solve -q = a + 3 - 4, -2*q = i*a + 2 for a. -4 Suppose 0 = 6*m + 167 - 197. Solve -4*t + 16 = y, y = -m*t - 3*y + 31 for t. 3 Let y be (1 - 3)/((-6)/9). Suppose s = y*s - 4. Suppose s*i = 5*i. Solve 3*a - 4*f - 32 = i, 2*a + f = -2 + 5 for a. 4 Let w(t) = t**2 + 2*t - 1. Let l(y) = -4*y**2 - 14*y - 11. Let z(c) = l(c) + 5*w(c). Let u be z(7). Solve 6 = 3*g + u*f - 2*f, -f = -3*g + 18 for g. 5 Suppose 0 = 4*c - 4*q - 24, 0*c = 3*c + 3*q - 6. Suppose 0 = 11*n - 18 - c. Solve n*f - m = 0, 6*f = 2*f + m + 2 for f. 1 Let u be 5/((1 - 3)/14). Let j = -33 - u. Suppose 3*m = 7*m - j*x - 10, x - 1 = 0. Solve -c = k - 4*k - 2, 0 = -4*k + m*c + 4 for k. -2 Let j(w) = w + 4. Let i be j(0). Let s = -44 - -47. Solve 0*n + 7 = -u + s*n, i = n for u. 5 Let s(b) = b**3 + 6*b**2 + 15*b + 33. Let t be s(-4). Solve 24 = 2*o + 5*l, o = 4*o + t*l - 26 for o. 2 Suppose -2*l = -l - 3. Let n be 2 + 2*462/6. Let s = n - 154. Solve s*y + 16 = -2*q, 0 = 4*q - l*y + 4*y + 23 for q. -5 Suppose 0 = 3*v + 2*v. Suppose -5*o + 3*a - 75 = v, -5*o - 4*a - 105 = 5. Let i = 35 + o. Solve 3*g - i = -5, 0 = 4*l + 5*g for l. -5 Suppose 17 = 2*r - 5*p, 9*r - 35 = 4*r + 5*p. Let y be (-1)/(1*(-2)/r). Suppose 1 = -y*m + 10. Solve m*o + 15 = 0, -z + o = -5*z + 7 for z. 3 Let p(q) = -14*q + 121. Let a be p(8). Solve 5*k - 12 = 4*g + 19, 3*k = a for g. -4 Suppose -38*t + 336 = -10*t. Solve m = -2*v + 4, -2*m = -5*v + m - t for v. 0 Suppose -7*o + 8*o = z + 8, 16 = 5*o + z. Solve o*y + 11 = -q, 3*q - y = 4*y + 35 for q. 5 Let b be 4/(-12)*6/(-1). Let s(w) = 14 + 5*w - 15 - 5*w**b - 2*w - w**3. Let l be s(-6). Solve 3*d = -15, 4*h + l + 13 = -2*d for h. -5 Let y(c) = 17*c - 15. Let q be y(1). Let t(s) = -s + 5. Let i be t(0). Suppose x + 0*x = 5. Solve -q*o = x*m - o - 5, -i*m + 2*o - 10 = 0 for m. 0 Let g be (-166)/(-3) - (-8)/12. Let n be (-6)/(-14) - -2*128/g. Solve 3 = n*q + 4*z, -5*q - 3*z + 2 = 1 for q. -1 Let u be 28 + 4*(-2)/(-4). Let m = u + -28. Solve 3*g - s = m*g - 2, -5*g = -s + 22 for g. -5 Let p(o) = -o + 5. Let q be p(-9). Let b be ((-4)/8)/(13/q - 1). Solve x = 4*w - 8, -2*w + b*x - 2*x = -22 for w. 1 Let j be 9 - -3 - (7 - 0). Solve -5*m + n + 28 = 4*n, 2*m - 5*n = j for m. 5 Let h(t) = 46*t**2 - 1. Let g = 1 - 0. Let v be h(g). Let q = -40 + v. Solve 3*z = -2*d + 13, q*z + 4 = 6*z + d for z. 5 Suppose 18*u - 55 = -19. Solve -u*a - 15 - 4 = -5*t, 2*a - 4*t = -16 for a. -2 Suppose 8*x - 3*x = 50. Suppose -5*l = -x*l. Suppose -5*z + 5 + 25 = l. Solve 14 + z = -4*y - 4*a, 0 = -3*y - 4*a - 19 for y. -1 Let b(u) = -u**2 + 5*u + 1. Let c be b(4). Suppose k - 30 = -c*l, -7*k = -5*k - 2*l - 96. Solve i + 20 = 5*w, 5*i + 2*w = -2*w + k for i. 5 Suppose -i + 5*q = 40, -q + 46 = -3*i - 4. Let t(c) = c**2 + 14*c - 4. Let v be t(i). Solve 3*p = b - v, 4*p - 2*b + b = -15 for p. -4 Let i(p) = 3*p + 1. Let r be i(5). Suppose -11 = -2*o - l, o + 6*l - r = 2*l. Solve -t - 2 = -2*t, 0 = 4*m + o*t + 8 for m. -4 Suppose -g + 3*r + 15 = 0, 3 = -r - 2. Let i(j) = 3*j**2 - 14*j - 1. Let h be i(5). Solve 0 = h*p - m + 1, -5*p + 3 = -g*p + 3*m for p. 0 Suppose -3*p + 4*h + 27 = 6, -h = -4*p + 15. Suppose 0 = -3*d - t + 5 + 2, -5*d + 17 = 3*t. Solve 2*x - 11 = -o, p*o + 1 + d = x for x. 5 Let n = -59 - -137. Let s = n + -73. Solve -h = 3*h - 5*t - 23, s*h + 2 = -4*t for h. 2 Suppose -1 = 3*z + 4*y - 2, -3*z - y + 7 = 0. Solve 3*i + 3 = 0, -z*i + 12 = 5*k - 0*i for k. 3 Suppose -5*k - 108 = -9*k. Suppose -z - 25 + k = 0. Solve -3*h - 17 = -s, 0*s = z*s - 5*h - 30 for s. 5 Let x(s) = s + 2. Let t be x(6). Let g = t + 7. Suppose v = -3*a + 8, 4 = -2*a - 5*v - 8. Solve -h - 3*b - g = b, -3*h = a*b + 5 for h. 5 Let n = 26 - 21. Suppose -3*m + 6*w + 63 = 3*w, n*w = 4*m - 85. Solve -4*j + 4*x - m = -0, 14 = -4*j - 2*x for j. -4 Let p = -1850 + 1852. Solve -4*n - 5*i = -0*n + 21, p*i = n + 2 for n. -4 Suppose 3*l = -l, -3*l = 3*f - 108. Let h be (-2)/((-8)/f) + -4. Let b(m) = m**2 - 5*m + 3. Let x be b(5). Solve j - 17 = -x*r - 1, -24 = j - h*r for j. 1 Let s = -3 + 0. Let z be 7 + (-5 + 4 - s). Suppose -5*k = -1 - z. Solve k*a + 0*a = 3*d - 3, -5*d - 5*a = -5 for d. 1 Let a be 6*((-5 - 0) + (-256)/(-48)). Solve -2*h - 4*x = 3 + 15, -a*h - 9 = x for h. -3 Let y(l) = l + 27. Let i(f) = 2*f + 5. Let r be i(-7). Let w be y(r). Solve 0*z - w = 3*k + 5*z, 2*z = -6 for k. -1 Let v = -40 + 35. Let f(d) = -3*d - 7. Let p be f(v). Solve -2*n + p = 2*u, -3*u = -5*n - u + 6 for n. 2 Suppose 3*h = -w + 17, 0 = -5*h + 2*h + 4*w - 8. Let c(s) = 5*s**2 + 4 + h*s - 3*s**2 - 3*s**2. Let d be c(4). Solve 3*t = 2*i + d, 0*t + i + 2 = -5*t for t. 0 Let n = -4 + 7. Suppose -3*b + 28 = 10. Suppose -n + b = f. Solve -f*t = 2*w + 2*w + 11, 5*w - 4*t = -6 for w. -2 Let r(s) = -s**3 + 3*s**2 + 20*s - 4. Let f be r(6). Solve 2*w + 1 = l + f, 5*w - 4*l - 22 = 0 for w. 2 Suppose -34 = -9*l + 2. Suppose -5*d = 5*c + 15, l*d = -21 + 1. Solve 0 = 4*h - c - 2, -a = 3*h - 1 for a. -2 Let n = 51 + -48. Let p be 4/(2 - ((-2)/n)/(-1)). Solve -5*f + i = 2*i - 10, -6 = -3*f - p*i for f. 2 Suppose 406 = -3*m + 17*m. Solve -4*c = -4*f + 12, -m = 5*c + 5*f + 6 for c. -5 Let n = 14 + -11. Let k(t) = -4 - t**n - 4*t**2 + 16*t - 2*t**2 + 13. Let d be k(-8). Solve d = -a - 2*v, 3*v + 4 + 8 = 0 for a. -1 Suppose -c = -2*b - 2*c + 30, -2*b = 5*c - 46. Solve -3*p - 2*u = b, -7*u - 25 = -2*u for p. -1 Let z = 70 + -61. Let h = z + -4. Solve 4*t + 12 = h*t + 5*o, 0 = -t - o + 4 for t. 2 Let f(o) = o**2 + 10*o + 1. Let h be f(-7). Let b be (-2 + 1)*h*1. Suppose -b = -3*x - 5. Solve 0 = -4*n - x*w - 12, -10 = 5*n + 4*w - 4 for n. 2 Suppose 5*g = -2*u + 1, -14 = -4*u + 4*g + 2. Suppose -3*a + 51 = 3*t, -2*t = -a + 11 + u. Let w = 16 - a. Solve w = -3*i + 3*l - 3, 3*i - l + 4*l = -27 for i. -5 Let f = -40 - -42. Suppose f*c - 102 = 3*n + 5, -4*n = -2*c + 106. Solve -11 = -4*v + i, -c + 20 = -5*v - 3*i for v. 4 Let n be ((-2)/2)/((-4)/(-4)). Suppose 0 = -s - 4*v - 10, -5*s = v - 2*v + 8. Let w be (-2)/s + (0 - n). Solve 0 = w*t + 4*k - 10, k = -4*t - 0*t - 1 for t. -1 Suppose -38*m - 730 + 882 = 0. Solve -f - 19*o = -23*o - 18, -3*f = -m*o - 22 for f. 2 Suppose -3*u = 4*a - 25, -3*u + a + 0 = -5. Solve 7 = -5*m + 32, u*w + 3*m = 27 for w. 4 Suppose -3*f - 7 = -4*f + p, -1 = -f - 5*p. Suppose -2*k - 56 = -f*k. Solve 1 = -w + i, i + 3*i = -w + k for w. 2 Let b(f) = f + 10. Let w be b(0). Suppose 3*p + 2*p = w. Suppose -p*n + 2*h = -8, 3*n - 5*n + 3*h + 9 = 0. Solve -5*m = 5*z + 15, n*z - 20 = 4*m - z for m. -4 Suppose 0 = -l - 4*l - 60. Let r(u) = u**3 + 13*u**2 + 11*u - 7. Let y be r(l). Solve 0 = g + o + 4, 5 = -3*g - o - y for g. -3 Suppose 0 = -2*g - g + 2*n - 90, -4*g = 2*n + 120. Let i = -28 - g. Solve -i*l + 14 = 2*x, 0 = 5*x - 6 - 9 for l. 4 Suppose -10*l = 12 - 32. Solve -l*i = -2*z + 8, 3*z = 2*i - 5*i + 18 for i. 1 Suppose -41*b = -124*b + 332. Solve -b*x + 8 = -i - i, x = 4*i + 2 for x. 2 Suppose 2*m - 3 = -g, g + 15 = 5*m - 3. Suppose 0 = -4*h + m*h + 6. Suppose -h*v + 20 = -v. Solve 0 = 5*a + 4*s + 30, 0 = -v*a + 5*s - 0*s + 17 for a. -2 Let t = 368 + -365. Solve -14 = t*g + 2*j - 0, -2*g + 8 = -3*j for g. -2 Suppose -3 + 15 = -4*c. Let p be c*6/(-36) + (-1)/2. Solve p*h + 10 = 5*k + 4*h, h = 0 for k. 2 Suppose -l + 3*l - 6 = -2*r, -2*l - r + 5 = 0. Suppose 0 = w - l - 2. Suppose -s = -w*s + 9. Solve 16 = 2*m + 2*m + 2*k, 0 = s*k for m. 4 Let d be 171/54 + (-2)/12. Let z be (-6)/(-2) - (-2 + 2). Suppose -d*x + z = -2*x. Solve -2*l + x = 2*l + 3*j, 3 = -2*l - 3*j for l. 3 Let h(o) = -2*o - 4*o**3 + o**3 + o**3. Let r be h(-2). Let z be (-9)/36*(-1 - -1). Solve y = -z*l - 5*l + r, 0 = -2*y + 3*l + 1 for y. 5 Suppose -l = 9 - 12. Suppos
{ "pile_set_name": "DM Mathematics" }
2*i = 6, p = 2*p - i + 9. Sort -3, 0, 4, p. p, -3, 0, 4 Suppose 0 = -2*d - 3*r - 9, -4*r = -4*d - 6*r + 2. Suppose d*q = -5 - 1. Suppose 0 = -2*f + 2*l - 1 + 11, -2*l + 5 = 3*f. Put -4, q, f in descending order. f, q, -4 Let s(u) = -u + 2. Let y be s(-8). Let m(c) = -c**3 + 10*c**2 + 5. Let g be m(y). Let w(p) = p - 5. Let l be w(5). Sort l, -1, g in descending order. g, l, -1 Let s(i) = -i - 1. Suppose -m + 5 - 2 = 0. Let o be s(m). Let q be (1 - (-2)/(-2))/1. Sort q, 1, o in decreasing order. 1, q, o Let y = 6.4 + -4.4. Put y, 0.4, -0.1 in decreasing order. y, 0.4, -0.1 Let j = -0.43 + 0.13. Put -9/4, -4, j, -0.2 in decreasing order. -0.2, j, -9/4, -4 Let p = -24.5 + 24. Let s = -0.1 + 0.1. Let b = 1.2 + -6.2. Put b, p, s in decreasing order. s, p, b Let c(v) = -v + 2. Let m be c(3). Let n(k) = -k**2 + 31*k + 106. Let h be n(34). Let i(p) = -2*p + 10. Let w be i(7). Sort h, w, m. w, m, h Let p = 161/3 - 53. Sort p, -3, -0.4 in decreasing order. p, -0.4, -3 Let j = 11 - 3. Let v = -6 + j. Suppose -v*p = p. Put 1, p, 3 in descending order. 3, 1, p Suppose -4*a + 2*d + 2*d + 4 = 0, -d = -4*a + 16. Put a, -0.5, 1/3 in descending order. a, 1/3, -0.5 Let o be (-12)/(-4)*6/(-2). Let j(g) = -g + 4. Let t(k) = -2*k + 8. Let p(w) = o*j(w) + 4*t(w). Let c be p(5). Put c, -4, 4 in descending order. 4, c, -4 Suppose m + 2 = -5*a - 18, -5*m + a - 22 = 0. Sort 3, m, -3. m, -3, 3 Let t = -28 + 32. Let x = -4 + 4.5. Sort 1, t, x in increasing order. x, 1, t Let c = 105 - 105. Sort 0.5, -0.2, c in increasing order. -0.2, c, 0.5 Let h = 33 + -16. Suppose 5*o - h = -a, -o + 2*a + 6 = -4. Suppose -5*u - 13 = -2*r + 5, -5*u - 16 = -4*r. Sort r, o, -3 in descending order. o, r, -3 Suppose -5*h = -3*r + 16, -22 = 4*r - h + 3*h. Suppose -2*l = -l. Let v = 3 - 4. Put l, r, v in decreasing order. l, v, r Suppose 7*s = 3*s + 12. Put -1, -4, -3, s in decreasing order. s, -1, -3, -4 Let s = 2.77 + -0.17. Let r = 2.1 - s. Sort 2/13, 1/4, r in increasing order. r, 2/13, 1/4 Let y(d) = -d**2 - d - 4. Let o be y(0). Let h be (-1)/(-1 + 12/10). Let p = -39 - -40. Sort p, o, h. h, o, p Let a = -1.052 + 0.052. Sort a, 1/3, -0.5 in increasing order. a, -0.5, 1/3 Suppose r - 27 = -y - y, -y - 5*r = 0. Sort y, 2, 4 in decreasing order. y, 4, 2 Let o = 0.3 + -0.2. Let v = 4 - 3. Let y = v + -0.6. Sort o, y, -2 in increasing order. -2, o, y Let m(g) = -g**3 - 13*g**2 - 13*g - 9. Let r be m(-12). Suppose 10 = c - r*c. Suppose -3*k = -4*w + 7, -3*w - 2*k + 15 = -k. Put w, c, 2 in decreasing order. w, 2, c Let w = -36 - -149/4. Let t = -79542 + 28953167/364. Let j = t - -5/28. Sort w, 1, j in ascending order. j, 1, w Let d be (-9)/(5 + -2) + 1. Let o(j) = 10*j**3 - 3*j**2 + 2. Let r be o(d). Let a = 628/7 + r. Sort a, -1, 2. -1, a, 2 Let t = -126731617/594 - -213353. Let a = t - 1/54. Let z = 0.031 + -0.531. Sort z, -4, a in ascending order. -4, z, a Let j(k) = -k**3 + 3*k**2 - 2*k + 4. Let q be 7/1 + 1 + -5. Let l be j(q). Sort l, -1, 0 in decreasing order. 0, -1, l Let s(q) = -4*q + 40. Let p be s(10). Sort -4, -1, -5, p in descending order. p, -1, -4, -5 Let j = 0.22 - 0.62. Let s = -5 + 9. Suppose -s*w - o = -4*o + 12, -3 = w - 4*o. Sort -0.3, w, j in descending order. -0.3, j, w Let w be 35/11 - 4/22. Let y = w - -1. Put -3, y, 0 in decreasing order. y, 0, -3 Suppose 15 = -0*u - 3*u. Suppose 2*l = -3*d + 25, 0 = 4*l - 8*l + 3*d + 23. Let j = l - 5. Sort -4, u, j in descending order. j, -4, u Let r = 0.2 - -0.3. Let x = r - 0.4. Let z = x - 4.1. Sort z, -2/9, 0.4. z, -2/9, 0.4 Suppose 3 + 2 = 5*a. Sort -2/13, -3, a in increasing order. -3, -2/13, a Let a = 23 + -91/4. Sort -9, 0.4, a, 5 in descending order. 5, 0.4, a, -9 Let o(s) = -s**2 + 6*s + 4. Let t be o(7). Let a = -9 + 17. Sort t, 1, a. t, 1, a Let b = 40 + -39.9. Sort -3, -0.11, b. -3, -0.11, b Suppose -z + 14 = 2*p + 3*z, -2*p - 5*z + 17 = 0. Let a(b) = b + 2*b - 1 - 4*b. Let v be a(p). Sort 4, v, -3 in descending order. 4, v, -3 Let k = -14 - -13.7. Sort 3, 2/7, k in descending order. 3, 2/7, k Let d = 374/615 - 1/123. Let q = 6 + -12. Let t = -10 - q. Put -2, t, d in ascending order. t, -2, d Let v = -10 + 3. Let j = v - -4. Sort j, 2, 5 in ascending order. j, 2, 5 Let g = -26 + 24. Sort g, 9, 2 in decreasing order. 9, 2, g Let i = -0.03 + -4.97. Let f(d) = d**2 - 5*d + 2. Let m(r) = -r**3 - 3*r**2 + 3*r. Let w be m(-4). Let h be f(w). Put h, i, 2 in decreasing order. 2, h, i Let w = -8.87 - -9. Let s = 0.53 - w. Sort 2/3, 4, s in decreasing order. 4, 2/3, s Suppose z - 6*z + 5*k = 35, z = 2*k - 12. Sort -0.5, 4, 2, z in descending order. 4, 2, -0.5, z Suppose 0 = -2*v + t - 8, -3*v - v + t - 14 = 0. Let b(w) = w**3 + 4*w**2 + 2*w - 1. Let l be b(v). Let y = 0.46 + -0.06. Put y, -1, l in increasing order. -1, y, l Let m be -4 - ((-87)/27 + -1). Sort -25, -5, m. -25, -5, m Suppose -x - 3*f - 13 = x, 11 = -2*x - f. Let t(y) = y**3 - 7*y**2 + y - 4. Let j be t(7). Suppose 0 = -4*p - j - 1. Put x, 4, p in decreasing order. 4, p, x Let c = -135.91 + 136. Put c, 3, -4, 0.4 in decreasing order. 3, 0.4, c, -4 Suppose -f = 4*f + 5. Let m(z) = -z**3 - 12*z**2 - 11*z + 2. Let j be m(-11). Let y = 4 - 6. Sort f, j, y in decreasing order. j, f, y Suppose -3*w - 7 = 2*g + 1, 4*w = 5*g - 3. Let k = 23 + -23.2. Put k, g, 4 in decreasing order. 4, k, g Let h(v) = v. Let q be h(4). Let y = 4 - q. Suppose 0 = -4*n - p + 8 + 3, -2*n + 4*p + 28 = 0. Sort n, -1, y in increasing order. -1, y, n Let x be (-8)/16 + 1/(-2). Let q = 0 + x. Put 0, q, 2 in decreasing order. 2, 0, q Let u be (-1)/2*-8*1. Sort -2, -4, u. -4, -2, u Let k = -13.06 + 13. Put 4, -2, k in descending order. 4, k, -2 Let a = -32 - -32.4. Sort 2, 2/3, -5, a in descending order. 2, 2/3, a, -5 Let t be 1*3*(-8)/12. Let d = 10 + -6. Suppose 3*m - d*y = 0, 3*m - 4*m - y = 0. Sort t, m, 2 in decreasing order. 2, m, t Let b be -1 + 2 - (-8)/2. Sort -2/9, -3, b. -3, -2/9, b Let v(o) = -2*o - 7. Let u be v(-7). Let x = u + -8. Put x, 1, -3 in ascending order. -3, x, 1 Let k = 36/65 - 16/65. Sort 3, k, -5 in ascending order. -5, k, 3 Let p = 107 + -102.08. Let m = p - -0.08. Let n = 3.8 - -0.2. Sort m, -2, n. -2, n, m Let u(c) be the third derivative of c**6/120 - c**5/15 + c**4/8 + 2*c**3/3 - 6*c**2. Let n be u(3). Put -1, 1, n in decreasing order. n, 1, -1 Let k(o) = -o**3 + 6*o**2 + o + 3. Let t be k(6). Sort 2/5, t, -0.3 in increasing order. -0.3, 2/5, t Let b = -3 + 5. Sort b, 1, 0. 0, 1, b Let o(f) = f**3 - 7*f**2 + 5*f + 3. Let x be o(6). Let s = -8 + 9. Let v be ((-3)/(-30))/(s/4). Sort x, v, -0.03. x, -0.03, v Let x = 6 + -4. Let a = -1.5 + x. Sort 2, a, 2/7 in decreasing order. 2, a, 2/7 Let y(a) = a**2 - 11*a + 6. Let q be y(10). Let t = 2 - 4. Sort q, 0, t in descending order. 0, t, q Suppose -4*r - 2*o = 0, 3*r + 4*o + 7 = -o. Let h = 0.03 + 0.27. Sort h, -1, r in ascending order. -1, h, r Let o = -15 + 21. Let b = -6 + o. Let u be ((-2)/1)/((-2)/(-4)). Put -5, b, u in decreasing order. b, u, -5 Let u = 86 - 83. Sort -2/17, u, 0.7 in descending order. u, 0.7, -2/17 Let x = 2 - -3. Let f = 1.2 - 3.2. Sort x, f, 0.4. f, 0.4, x Let s be (-1 - 0)*5*-1. Suppose -s*v + 15 = -0*v. Sort v, 4, 1 in ascending order. 1, v, 4 Suppose -9 = 4*d + 5*f, d = -d + 5*f + 3. Let v be 6/4*4/3. Sort 0, d, v in ascending order. d, 0, v Suppose 4*y = z + 2, 3*y + z - 7 = -z. Suppose p = 3*p. Suppose 0 = -3*v + 8*v - 10. Sort y, v, p in descending order. v, y, p Let r = 0.23 - -0.07. Let o = -0.1 + r. Let y = o + -0.3. Sort -2/7, -5, y in decreasing order. y, -2/7, -5 Suppose -3*t - 9 = 0, 3*u + 5*t = 1 - 22. Let y = -7 - u. Let d = 1 + 0. Sort -4, d, y. y, -4, d Let l = -30 + 35. Sort l, 2, 2/3 in increasing order. 2/3, 2, l Let x = -2 - -4. Let l(b) = 2*b. Let r be l(x). Let i be (0 - 1)/(-1*1). Sort i, r, -2 in descending order. r, i, -2 Let l = 5.38 + -0.38. Put -0.3, l, -1/22 in increasing order. -0.3, -1/22, l Let k = 0.8 + -0.3. Let q = k + 1.5. Put 0.1, -3/8, q in increasing order. -3/8, 0.1, q Suppose -1 = -m + 3. Suppose 5*n + 10 = 0, -4*r + m*n + 10 = -3*r. Put 4, r, -2 in descending order. 4, r, -2 Suppose -4*q = -9 + 1. Let x = -3 + -1. Let g = -3 + 1. Put x, g, q in ascending order. x, g, q Suppose 5*k + 3*o + 3 = -13, -4*k - 17 = o. Put 2, k, -4 in decreasing order. 2, -4, k L
{ "pile_set_name": "DM Mathematics" }
8691 - 0.23691. Put 0.195, -5, -1, f in descending order. 0.195, f, -1, -5 Let i = -23.4 + 22. Let s = 0.4 + i. Let m = -231/4 + 57. Put s, m, -2 in descending order. m, s, -2 Let s = -391/3 - -132. Sort 7, -2, 4, -5/2, s in descending order. 7, 4, s, -2, -5/2 Let o be (2*(4 + -3))/(1 - (-18)/(-12)). Sort 3, 66/23, 3/4, o in descending order. 3, 66/23, 3/4, o Let c = 4844 + -4836. Let p be 34/(-6) + (-2)/(-3). Put c, p, 3 in descending order. c, 3, p Let b(y) = y**2 - 17*y + 2. Let n be b(17). Suppose -2 - 4 = 2*c. Sort c, -2, -7, n. -7, c, -2, n Let q = -31 + 28.4. Let d = 3 + q. Let b = -3269/4 - -16349/20. Put b, d, 3 in descending order. 3, d, b Suppose 972*y = 974*y + 6. Put -161, 3, y, 5 in descending order. 5, 3, y, -161 Let q = -1 - -3. Let r = 18172 + -18167. Sort 1, -1, r, q in increasing order. -1, 1, q, r Let r = -534 - -540. Let c be ((r/(-3))/(-6))/(10/4). Sort 4, c, 1/5 in decreasing order. 4, 1/5, c Let w(f) = -f**3 - 12*f**2 - 7*f - 264. Let n be w(-13). Put n, 0.3, -0.4 in descending order. 0.3, -0.4, n Suppose 0 = -3*d + 3 - 0. Let i = 0.055 - 4.055. Put i, -0.3, d, -3 in increasing order. i, -3, -0.3, d Let v be -6 + -1*(0 - 1). Let h be ((-105)/(-9) + -12)/((-6)/(-18)). Suppose 0 = 2*u - 0*u - 10. Put v, h, u in descending order. u, h, v Let z = -1102 + 1010. Sort z, 3, -20 in decreasing order. 3, -20, z Let h = 14807 - 14807.5. Sort h, -1/4, 5, 0.5, 31.5 in ascending order. h, -1/4, 0.5, 5, 31.5 Let x be -3 - ((-68)/24 + (-3)/18). Suppose 27*d - 31*d + 152 = x. Suppose -d = -7*q + 102. Sort q, 2, 4 in decreasing order. q, 4, 2 Suppose -34 = -2*g + 3*z, 4*g - 41 - 17 = z. Put -47, 4, g in increasing order. -47, 4, g Suppose -4*j + 12 = 0, j - 1 = 2*m - 6. Let v = 13.4 + -14.4. Let g = 1439 - 1443. Put m, -3/2, v, g in increasing order. g, -3/2, v, m Let r = 0.226 + -5.226. Sort r, -2598, 3 in decreasing order. 3, r, -2598 Suppose 8*h + 4 + 9 = b, 0 = h - 3*b - 7. Put -1, -3, h, -5, -222 in increasing order. -222, -5, -3, h, -1 Let k = 1105/69 - 376/23. Put 4, k, 0.06, -2 in descending order. 4, 0.06, k, -2 Let d(f) = 3*f**2 + 387*f + 751. Let z be d(-127). Sort z, -0.5, -3/7, 1/6, -2 in decreasing order. 1/6, -3/7, -0.5, -2, z Let n be (30 - 27)/(-13 + 12). Sort 6, 15, -5, n, 5 in ascending order. -5, n, 5, 6, 15 Let t(y) be the first derivative of -5*y**4/4 + y**3 + 3*y**2/2 + y + 4. Let z be t(-1). Let u be -1*(-2*(-5)/(-10) + 0). Sort z, -2, u, -4 in increasing order. -4, -2, u, z Let d(x) = 2*x**2 - 16*x - 49. Let q be d(10). Sort 4, 12, q in decreasing order. 12, 4, q Let z = 9 - 6. Let y(f) = -2351*f - 3. Let c be y(0). Let j = 2 - 3. Sort c, 2, j, z in increasing order. c, j, 2, z Let u = 39292.97 - 39907. Let z = -618 - u. Let c = z - 0.03. Sort c, 0, -0.5 in decreasing order. 0, -0.5, c Let y = -35 - -36. Suppose 4*w = -2*d + 6, -4*d - d = -3*w - 67. Let k be (d - -1)*2/6. Sort -4, k, y. -4, y, k Let p = 8.614 - 8.294. Sort -0.4, -5, -3, p. -5, -3, -0.4, p Let j(q) = q**3 + 24*q**2 + 114*q + 112. Let z be j(-18). Put z, -1, -4, -3, 16 in ascending order. -4, -3, -1, z, 16 Suppose 3*z - 5*z = -i - 1, -4*i + 4*z - 4 = 0. Sort i, 1, -169. -169, i, 1 Let c(l) = -l**3 - 121*l**2 - 351*l + 354. Let d be c(-118). Sort -3, d, 6, 21 in decreasing order. 21, 6, d, -3 Let o = 45783 + -45785. Let g = -335/252 + 5/63. Sort o, -0.011, g, 3/2 in decreasing order. 3/2, -0.011, g, o Let p = -336 - 138. Let d = p + 474.05. Put d, -2, 1/13 in ascending order. -2, d, 1/13 Let h = -0.02 - -4.02. Let x = 0 - -3. Let y = 57 - 61. Sort x, -3, h, y. y, -3, x, h Suppose -11*i - 10*i = 386 - 386. Sort -2, 4, i, -22, 15. -22, -2, i, 4, 15 Suppose 2619 + 32381 = -70*x. Sort 2, 5, 1, x in descending order. 5, 2, 1, x Let n = -792 + 787. Sort n, -114, -4 in descending order. -4, n, -114 Let o = -10583 + 10582.6. Suppose 0 = -3*a - 2 + 5. Sort o, 3, a, 6 in descending order. 6, 3, a, o Let o = -415 + 415.131. Let p = o - -1.869. Sort -4, p, 7/5. -4, 7/5, p Let n = -14.3 + 10.3. Let d = 24.1 - 8.8. Let g = -15 + d. Put n, g, -5 in ascending order. -5, n, g Let a = -0.2121 + 61.2121. Let n = 1497 - 1435.9. Let h = n - a. Sort h, -13, -2/3 in decreasing order. h, -2/3, -13 Suppose -m = -4*y + 7, -2*m + 2*y - 6 = 32. Let c = 754/7 + -108. Sort -1, m, 0.4, c in descending order. 0.4, c, -1, m Suppose 20 = -4*z, 24 = j - 3*j - 4*z. Let s(n) = -n**2 + 4*n + 11. Let v be s(4). Suppose 2 = 2*d, -30 = 3*h - d - v. Put j, h, 2 in decreasing order. 2, j, h Let w = -7.49 - -9.49. Sort -3, -0.1, w, -4 in increasing order. -4, -3, -0.1, w Let r = -490 + 490. Sort 2, 28, -6, r, 1. -6, r, 1, 2, 28 Let n = -644 - -429. Let v = -219 - n. Put 5, -2, v, 11 in ascending order. v, -2, 5, 11 Let y = 2 - 2.5. Let l = -488.5 + 493.5. Put 0, l, y, -0.4 in descending order. l, 0, -0.4, y Let s = -0.62 + 0.22. Let w = 64 - 171. Let z = 80 + w. Sort 1/7, 2/15, s, z in decreasing order. 1/7, 2/15, s, z Let o = 194 + -1355/7. Suppose -217*h + 351 - 1436 = 0. Sort o, -37, h in decreasing order. o, h, -37 Let l = 1007.24 - 14.24. Let d = l - 1001. Put -0.04, 4, d in ascending order. d, -0.04, 4 Suppose 13 = -t - t + v, 0 = -v + 3. Let w(o) = -o + 37. Let d be w(35). Put d, 1, t, -2 in decreasing order. d, 1, -2, t Suppose 6 = -3*p - 183*f + 185*f, 0 = -2*p + 2*f - 2. Sort -5, -1, p, 26 in increasing order. -5, p, -1, 26 Let v = -62 - 3. Let l = -66 - v. Sort 11, 2/3, l in decreasing order. 11, 2/3, l Let j = 238206 + -15006641/63. Let w = 1381 - 9706/7. Let y = w + j. Put -2, 2, y in descending order. 2, y, -2 Let x = -74 - -517/7. Let k = -0.6116 + 0.1116. Sort x, k, -2. -2, k, x Let h = 4 + 7/2. Let f be (-63)/(-36) - 36/(-16). Put -0.1, f, h in ascending order. -0.1, f, h Let f = -4/415 - -253/415. Put f, -0.4, 37, -2/7 in ascending order. -0.4, -2/7, f, 37 Let u = 1.6 - 1.9. Let q be (-144)/27*6/4. Let g be (-57)/(-63) + q/14. Sort 0.2, g, 3, u in decreasing order. 3, g, 0.2, u Suppose -3*t + 4*l - 5 = 0, -3*t - 6*l + l + 13 = 0. Let z = -14117 - -465859/33. Put t, -0.3, 2/15, z in descending order. t, 2/15, z, -0.3 Let i be 2/(-4) - (-498)/4. Let a = i + -125. Suppose 5*r = -10 - 10. Sort a, r, -3 in ascending order. r, -3, a Let v = 540.3 - 537.181. Let f = 0.119 - v. Put 1, f, 0.3, -0.11 in decreasing order. 1, 0.3, -0.11, f Suppose u = 2*a - 5, 0*u = -3*u - a + 6. Let w(d) be the third derivative of d**4/24 + 2*d**3/3 + 73*d**2. Let x be w(-5). Sort -6, u, x. -6, x, u Let s = 11188 - 11195. Put 5, -21, s in ascending order. -21, s, 5 Let y(t) = -t**3 + 6*t**2 - 7*t + 5. Let i be y(5). Let r be (0 + 1)*(48 - 47) + (-2)/(-2). Sort i, 5, r, -2.1 in increasing order. i, -2.1, r, 5 Suppose -55635 = -20*b - 212*b + 27885. Sort 5, -3, b in decreasing order. b, 5, -3 Let y = -0.6 - 0.4. Let g = 1516/11 - 138. Let n = -1.17 + 1.26. Sort n, y, g in increasing order. y, g, n Suppose 0 = -4*j + 4*b - 2 - 2, 16 = -4*j - 2*b. Let x(h) = -6*h**2 + 17*h - 16. Let u be x(3). Sort j, 5, u in ascending order. u, j, 5 Let g be (3/6 - -2)*2. Let l be 70/(-15)*(-3 - (-216)/56). Put -2, g, l in increasing order. l, -2, g Let w = -146 + 143. Let k = 2.72 + -3.32. Sort 2, k, w in descending order. 2, k, w Let b = 3.1 - 4. Let f = b - 0.1. Let c = -251763 + 251762.7. Sort -0.1, f, c. f, c, -0.1 Suppose -3*k + 3199 - 1593 = 1591. Put -3, 4, k, -19, -7 in decreasing order. k, 4, -3, -7, -19 Let p = 4.3981 - -11.6019. Let y = -13 + 8. Sort 4, p, y in ascending order. y, 4, p Let i = 21.14 - 20.75. Put 5/7, i, 2 in ascending order. i, 5/7, 2 Let t = -14511 + 14510.5. Let v = -10 - -7. Sort t, v, 3/4 in decreasing order. 3/4, t, v Let j = 2.498 - 1.598. Sort -0.1, -13, j in descending order. j, -0.1, -13 Let n = -2/15 + 7/15. Let o = -87.3113 + 0.2113. Let y = -87 - o. Put y, n, -0.2 in increasing order. -0.2, y, n Let o(j) = -j**2 + 11*j - 14. Let x be o(10). Let s(b) = 7 - 12*b**3 - 3*b + 12*b**2 + 2*b - 14*b**3 + 25*b**3. Let t be s(12). Sort t, 4, 0, x. t, x, 0, 4 Let i = -3049 - -3083.184. Let a = i + 0.416. Let o = -35 + a. Put -0.3, o, -2/13 in decreasing order. -2/13, -0.3, o Suppose -d - 5*v = 21, -4*d + 2*v + v = -31. Suppose 2*x = 3*x. Suppose 1337 = -3*b + 1265. Sort x, b, d, 1. b, x, 1, d Suppose w - 65 = 4*w - 56. Sort w, 5, 16. w, 5, 16 Suppose 4*i + 472 = -4*i. Let j = i - -39. Le
{ "pile_set_name": "DM Mathematics" }
**(2/133) assuming r is positive. r**(69957/17290) Simplify (((g*(g*g/(g**(-2/5)/g))/g)/(g/g**(4/9))*(g**(-3/5)*g*g)/(g**(3/10)*g))**(-13))**(-5/2) assuming g is positive. g**(3445/36) Simplify ((z*z*z**(-3))/(z*z*z/z**(-1/8)))/(z**(-1/4))**(-5/2)*(z**(-2/3)*z)**(-2/97)*(z/z**2)/z*z**(1/3) assuming z is positive. z**(-7477/1164) Simplify ((j/(j**0/j))**45/(j**(-1)/(j*j/(j/(j/((j/(j/(j*j**(-4/5))*j*j))/j))))))/((j**2)**(-17/6))**25 assuming j is positive. j**(3562/15) Simplify ((o/(o*o/o**(-12)*o))/(o*(o*(o*o**11)/o)/o*o)*o**(-3/5)*o**(-3))**(1/5) assuming o is positive. o**(-153/25) Simplify (p**(-2/3))**(2/15)*((p/(p/(p*p*p**(1/4)*p)))/p)**(-2/33)*((p*p**(-1/2))/p**(-1/2))**(2/5) assuming p is positive. p**(173/990) Simplify ((q/(q**(-2/3)*q))/q*q**0/q)/(q/q**(-3)*q**(-1/4))*(q**(-1)/(q**(-3/2)*q))/((q*q*q/(q*q**(-6)))/q*q/q**(2/7)) assuming q is positive. q**(-1117/84) Simplify (((o**21/o)/o*o)/(o**8*o)*o/(o/(o*o*o**(5/7)*o))*o*o**(-6)*o*o)**(1/26) assuming o is positive. o**(41/91) Simplify ((w/(w*w**(-6)))/w**6*w**(-5)*w*w*w**(2/7)/w)/(((w/w**(3/5))/w)/w*w/((w/(w/(w**(-1/11)*w)*w))/w))**49 assuming w is positive. w**(-10691/385) Simplify ((i*(i/((i**(-13)/i)/i))/i*i/(((i*i**(-29))/i)/i))/((i/(i/i**(-10/13)))/(i**(-36)/i*i)))**(-17) assuming i is positive. i**(-2601/13) Simplify (((p/p**(4/7))**(-30)*(p*p/((p**(-1/5)*p)/p))/p*p**(-4/9)*p*p)**(-1/16))**11 assuming p is positive. p**(17501/2520) Simplify ((r/r**4)/(r*r**(-4/3)*r)*(r/r**(2/3))**(-1/13))/((r*r**(-6)*r*r*r**0)/(r**4*r**(-2/15)*r)) assuming r is positive. r**(814/195) Simplify ((y/y**1*y)**(-13/4))**(-36)*(y**(-3)/(y*y*y*y**(2/5)))/(y**2/y*y**(-1/9)) assuming y is positive. y**(4937/45) Simplify (k/k**(-20))**(5/14)*(k**(-5/11))**(9/8) assuming k is positive. k**(615/88) Simplify (((w**9*(w**(-1/2)*w)/w)/(w/w**(-12)*w*w**(-14)*w))**(-3/28))**(34/3) assuming w is positive. w**(-255/28) Simplify ((u*u**(-27)*(u*u*u/u**10)/u*u)/(u**13/u**(-10)))**(-31) assuming u is positive. u**1736 Simplify (c**(-1/53))**(2/147)/(c/(c*c**(-27))*c)**(5/6) assuming c is positive. c**(-181792/7791) Simplify (s*s**(-3/10)*s**(-3/4)/s)**47/(s**(-2/3)*s*s*(s**(-3/2)/s)/s)**(-29) assuming s is positive. s**(-6731/60) Simplify (((w**(1/2)/w**7)/(w*w**(1/2)/w*w*w)**(-1/13))**(6/5))**(-27) assuming w is positive. w**(13284/65) Simplify ((k**(-12)*k**3)/((k*k*k/(k**29/k)*k)/k*k**(2/23)))**33 assuming k is positive. k**(12078/23) Simplify ((a**(-27)/a**(3/4))/(a**10*a*a*a**(1/21)))**10 assuming a is positive. a**(-16715/42) Simplify (k**(18/5)/k**(-2/19))/(k**(20/9)/((k*k**(-3/26)*k*k)/k)) assuming k is positive. k**(74863/22230) Simplify (h/h**(1/11)*h)/(((h/h**(-7))/h)/h)*(h*h**(-2/9))/(h*h/(h*h**(-1/4)))*(h**(2/3))**(-7/4)*h/(h**(-2)/h)*h**(-2/7) assuming h is positive. h**(-5587/2772) Simplify ((((f/(f/(f*(((f**1/f)/f)/f)/f*f)))/f)/f)**(-47)/((f*f*f**(-1/4)*f)/f**0))/((f*f**(2/5)*f)/f*f**(3/2))**(3/43) assuming f is positive. f**(118721/860) Simplify h**(-4)*(h*(h/((h/(h*h**(-2/5)*h)*h)/h))/h)/h*(h*h**(1/3))**(-10)*((h**(-1/3))**4)**39 assuming h is positive. h**(-1031/15) Simplify ((l*l*l**5)**(-11/3)/((l**10*l)/(l/l**(-10/9))))**(8/9) assuming l is positive. l**(-2488/81) Simplify ((n**(-4/5)/n)/n**(-2))/(n*(n**(2/3)/n*n)/n*n**0)*(n**(-3)*n**6/n)/(n**0)**(-23) assuming n is positive. n**(23/15) Simplify ((o**(2/3)/o*o)**(-3/34))**(-3/2)/((o*o**1)**21*o**(5/3)/(o/(o/o**(-1)))) assuming o is positive. o**(-4547/102) Simplify ((s/((s/(s/(s*s*s*s**(-3)))*s)/s))/s**(-1/4))/(s/(s/s**(2/5))*s**(-6))*((s**1)**29)**(-19) assuming s is positive. s**(-10883/20) Simplify ((v*v*v/((v*v/v**25)/v)*v)/v**(-1/3)*(v*v**(-14))/v*(v/v**(6/11)*v)/v)**(-1/5) assuming v is positive. v**(-488/165) Simplify ((l*l**(-10)*l*l*l**38)/(l/(l*l**(-1/8))*(l/(l*l**(5/18)/l*l))/l))**(2/29) assuming l is positive. l**(2315/1044) Simplify ((f/f**(-1/3))**(3/2)/((f**(1/10)/f)/f*f**0/f))/((f/(f/f**(1/5))*f/(((f/(f**(-3/8)*f))/f)/f))/(f/(f*f*f**2*f)*f)**17) assuming f is positive. f**(-1957/40) Simplify ((v/(v**(-15)*v*v)*v)/(v**(1/22)/v)*v**(-20)/v**(-3/2))**28 assuming v is positive. v**(-784/11) Simplify (((p**(6/5)/p**(-4))**(-2))**(-35))**(-26) assuming p is positive. p**(-9464) Simplify (x**(-10)/x**(1/8))**47/(((x**(-2)*x)/((x/(x/(x*x**(2/5)*x)))/x))/(x**1)**(14/11)) assuming x is positive. x**(-207769/440) Simplify ((i*i/(i*i*((i*i/i**13)/i)/i)*i)**(4/21)/((i*i**19/i)/(i*i*i**(-6/17)*i)))**(-49) assuming i is positive. i**(34202/51) Simplify (l**(-2)*l**(-5)*(l**(2/9))**(-41))/((l**(-2/7))**(-2/83)/(l**2)**(6/19)) assuming l is positive. l**(-1538591/99351) Simplify ((z*z/(z**(2/5)/z*z)*z)**(-2/31))**(-1/2)*(z**(2/7))**(4/3)*z/z**(-4)*z*z**7 assuming z is positive. z**(43828/3255) Simplify (((((((r/r**(5/17))/r)/r)/r*r)/(r/(r*r**(-3/26)*r)))**(-2/39))**(-13/4))**(-8/9) assuming r is positive. r**(362/5967) Simplify (((d*d**(-1)/d)/d)/d*d*(d**(2/5)*d)/d*d*d*d*d**(-1/3)*d**(2/5)*d)/(d**(-2/7)/d**(-1/6))**(2/33) assuming d is positive. d**(8572/3465) Simplify (p**2/(p*p/p**(-2/5)))**(-45)/(((p/(p*p**(-1)))/(p*((p**5/p)/p)/p))/(p*p**(-1/8)*p*p**(-2/7))) assuming p is positive. p**(1209/56) Simplify (q**(1/6)*q**(-2/3))**(1/39)/((q**(8/7)*q)/q**(-4/11))**(-3/10) assuming q is positive. q**(11098/15015) Simplify (p**5*p**(-1/3))/(p/((p/p**(1/4))/p))**(2/43)*(p/((p*p*p**1)/p)*p)**(-40)/(p/((p**(-2)*p)/p)*p**3*p) assuming p is positive. p**(-617/258) Simplify ((v*v**(-13)*v)/v*v/((v/(v/(v**(-22)*v)))/v))/(v**1/v*v**41) assuming v is positive. v**(-30) Simplify ((m*m*m**1)**(-2/25))**(1/29)*(m/(m*(m/m**(1/2))/m))**(-13/3)/((m/m**(-1))/m*m)**(-4) assuming m is positive. m**(25339/4350) Simplify (k**(-4)/((k/(k**(-2/7)*k)*k)/k))**(-26)*((k/(k**(-2/5)*k)*k*k)/k*k)/(k**(-2/5)*k)*k**(-2/7)/k**(3/7) assuming k is positive. k**(3938/35) Simplify ((x*x**(-18)*x*x*x)/(x/x**18)*(x*x/(x/(x/x**(5/7))))**7)**(-2/33) assuming x is positive. x**(-8/11) Simplify (((g*(g/g**1)/g)**(-22/9)*g*g**(1/17)*g/((g/(g/(g*g/(g*g/(g*g/(g**(-2/11)*g)))*g*g*g))*g)/g))**(1/6))**33 assuming g is positive. g**(-397/34) Simplify ((w/(w*w**44)*w)/w**31*((w**35*w)/w)**(6/31))**(-2/25) assuming w is positive. w**(4168/775) Simplify ((n/n**(-1)*n)**(2/3)/(n**9*n)**26)**13 assuming n is positive. n**(-3354) Simplify (p*(p**(-1/4)*p)/p)**(1/10)*(p*p**(6/17))**(4/31) assuming p is positive. p**(5261/21080) Simplify ((q*q**(3/4))/((q**(2/15)*q*q)/q))/(q**(-1)/q)**31*(q**(-2/3)*q*q*q**6/q)/(q**(-1))**(-19) assuming q is positive. q**(999/20) Simplify (g**(-3/5)*(g**(-2)/g)/g*g**(-3/5)*g**(-6)/g*g)/((g/g**(5/4))/(g*g**5)*g/g**(1/3)*(g**(-2/3)/g)/g*g) assuming g is positive. g**(-79/20) Simplify ((a**(1/9)*a*a*a*(a*a**(-2/5))/a*a)/(a**5*a**(-6)))/(a**(1/3)*a*a**4*a*a**(1/10)/a*a/(a/a**(-1/4))) assuming a is positive. a**(-17/36) Simplify (x*x/((x*x/(x*x**(1/3)*x))/x))**6*x**(-2/11)*x*x**(-3/8)*((x**(-2/9)/x)/(x*x*(x**(-6)*x)/x*x*x))**(-5/6) assuming x is positive. x**(47033/2376) Simplify ((((y*y**(6/7)*y)**(7/6))**(30/13))**(7/9))**(-48) assuming y is positive. y**(-11200/39) Simplify ((b**(-1/4)*b*b*(b*(b**4*b)/b*b*b)/b*b*b*b)/((b/b**(-3))/(b**(-5)/b)))/(((b**(-1/3)*b)/b**1)/(b**(1/8)/(b**(-6)*b))) assuming b is positive. b**(149/24) Simplify (a**(-4)*a)/a**(-7)*((a/a**0)/a)/a**(-1)*a**(2/9)*a**(-1/4)*(a**(2/3))**(-3/7) assuming a is positive. a**(1181/252) Simplify (((w*w**3)/(w**(-1)*w))/(w**(-15)/w*w*w**17))**(-3) assuming w is positive. w**(-6) Simplify ((u**6/u*u*u**1)/((u*u/u**(-4))/((u/u**(5/2))/u)))/(u**(-2/5)/u**(2/13)*(u/(u/(u/(u**2/u*u)*u)))/(u/(u**4/u*u))) assuming u is positive. u**(-513/130) Simplify (o**8/o*o/(o/(o**(-1/5)*o)*o)*o/o**3*o**(1/3))/((o/o**(2/11))/o**4)**(-31) assuming o is positive. o**(-15428/165) Simplify ((g/(g/g**(-9)))/(g/(g/g**(-11)*g*g)))**(-5/16)*(g**0*g*g)/(g/(g/g**(-3))*g)*g**8*g*g**1 assuming g is positive. g**(51/4) Simplify ((((z*z**(-1))/z)/z)**(-3/4))**12/((z**(-5/3)*z)/(z*z**(-2))*(z*z/(z*z/z**(-1/3))*z)/(z*((z/(z**(-2/11)/z*z))/z)/z)) assuming z is positive. z**(189/11) Simplify (p*p**(8/5)*p**(-7/3))**(-4/9)*(p*p/p**(-1/4))/p**(-4)*p**(-4)*p**(-4)/p assuming p is positive. p**(-1549/540) Simplify (t/((t*t*t*t*t**1)/t*t)*t/(t**(-2/7)/t)*t/(t/(t*t**7*t))*t/(t**2/t))/(((t/t**(2/17))/t*t)/t**(-1/2)*(t*t**2)**(2/115)) assuming t is positi
{ "pile_set_name": "DM Mathematics" }
. Solve -p = d - 2 for d. -5 Let s = -332 - -334. Solve o - 3*o = s for o. -1 Suppose -832 = 23*r - 87*r. Solve -5*y = -r*y - 40 for y. -5 Suppose 3*u + 9 = 0, 2*u + 2 + 16 = 2*z. Suppose -z*s + 20 = 3*p - 2*s, 15 = -p + 3*s. Solve 3*t + p = -12 for t. -4 Let x(j) be the third derivative of -j**4/24 - j**3 + 2*j**2. Let i be x(-11). Suppose i*n - 41 = 9. Solve -2*w + 7*w = n for w. 2 Let n(r) = r - 6. Let i be n(6). Let k be -1*1/(1/(-3)). Let w be i*(-1 - k/(-6)). Solve 3 = -u - w for u. -3 Suppose 8*p - 96 = -4*p. Solve 7 = -p*o - 33 for o. -5 Suppose -4*i = 33 - 73. Solve -i*t + 72 = 62 for t. 1 Suppose 0 = -5*y + 5*c, -2*y = 5*c - 48 + 13. Suppose l - 4 = m, -2*l + y*m = 2*l - 18. Solve 3*r + 5 = l for r. -1 Let k(g) = g**2 + g + 5. Let o be k(0). Let y = -369 - -375. Solve -o*f + 1 = -y*f for f. -1 Let y(g) = -2*g + 29. Let u be y(11). Solve -u*z + 4*z = 0 for z. 0 Suppose 0 = -7*j + 2*j. Let c be (0 - 1/(-1))*2. Let x = -2 + c. Solve j = -x*z - z for z. 0 Suppose -21*a - 8 = -23*a. Suppose -a*k + 2 = -3*k. Solve 5*j - 4*j = k for j. 2 Let w(s) = 44*s**2 - s. Let u be -2*(-4 + 18/4). Let k be w(u). Let g be 455/k + (-3)/27. Solve p - g = 6*p for p. -2 Suppose -4*p = -4*x + 32, 4*x + 8*p = 9*p + 20. Solve x*v = -25 + 5 for v. -5 Suppose 48 = 10*y + 6*y. Let o(b) = -b**2 + 5*b - 2. Let u be o(4). Let a = -1 + u. Solve -g + a - y = 0 for g. -2 Let o be (-12)/(-2) + -2 + -2. Let z(h) = 2*h**3 - h**2 + h + 2. Let j be z(o). Suppose -3*g - j = -8*s + 4*s, 3*g + s = 4. Solve g = -a + 2*a for a. 0 Let y(d) = 3*d - 15. Let w be 6/15 + (-69)/(-15). Let b be y(w). Solve 0 = -b*n + 2*n - 6 for n. 3 Suppose -9*h + 80 + 64 = 0. Solve 0 = 6*u - h + 46 for u. -5 Let y be 16 - (-4 - (-4 + 0)). Suppose 3*t = y + 47. Let w = -16 + t. Solve -f = -w*f for f. 0 Let z be 2/((-6)/(-15) + 0 - 0). Suppose 0 = -4*k - 4*b + 76, 0*b + 22 = 3*k - 4*b. Solve 0 = -z*r - 1 - k for r. -3 Let k be (5 - (-5)/(-1))/4. Suppose -2*w - v + 23 = k, 2*v = 5*w - v - 41. Solve 4*l + w = -l for l. -2 Suppose 8*b - 3*b - i = 12, 2*b - 10 = 3*i. Suppose 5*u - b*p = 5, u - 28 = -0*u - 5*p. Suppose u*o - 6*o = 0. Solve o = 3*m - 5 + 11 for m. -2 Suppose d + 3 = 0, -o + 4*d = o - 14. Let m(j) = -j**2 - 65*j - 592. Let v be m(-11). Solve -v*l = -l + o for l. -1 Let d = 309 + -295. Solve 18*c - 12 = d*c for c. 3 Let l = 443 - 364. Solve l - 19 = -15*q for q. -4 Let j(l) = 0 + 9*l**2 + l**3 - 6*l + 3*l + l - 12. Let m be j(-9). Let u(r) = 2*r - 8. Let o be u(m). Solve 0*k - 20 = o*k for k. -5 Let a be 3/(-4*(-15)/40). Solve a*x - 14 + 10 = 0 for x. 2 Let o = -2 - 5. Let a be 18/42 - 32/o. Let d(t) = t**3 + 5*t**2 - t + 6. Let y be d(-5). Solve a*n = y - 1 for n. 2 Let y(u) = -u**3 + u - 2. Suppose -3*i - 5*o + 19 = 0, -4*i - o + 0*o = 3. Let f be y(i). Solve 0 = -3*g + f*g - 1 for g. 1 Let x = 28 - 28. Suppose 5*l + 4*i = 2*i + 69, x = -5*l - 4*i + 63. Suppose -4*n = -n - l. Solve 2*d = d - n for d. -5 Let k(c) = -4*c - 2. Let n be k(-2). Suppose -2*a - 4 = -2*r, 4 = -n*r + r - 2*a. Solve -z - 4*z = r for z. 0 Suppose -10*q - 15 + 65 = 0. Solve -3*t + 4*t = -q for t. -5 Suppose c = -3*s, -35*s + 39*s - 3*c = 0. Solve -w + 2*w - 2 = s for w. 2 Suppose -30*w - 42 = -36*w. Solve -w*y + 8*y = -4 for y. -4 Let d be (-3 + 3 - 3)*10/(-6). Solve 21 = 4*t + d for t. 4 Let r(o) = 2*o - 13. Let m be r(8). Suppose 6 = 3*i + m*x, -4 = -5*i - x + 10. Solve -11 = -i*s + 4 for s. 5 Let y be ((-22)/4)/(-4 - (-7)/2). Solve -21 = y*f + 23 for f. -4 Suppose -6*t - 29 = -y - 2*t, 0 = -y + 2*t + 19. Solve -y*q + 15*q - 18 = 0 for q. 3 Let d(s) = s**3 - 6*s**2 + 2*s - 12. Let q be d(6). Let f be (2 + q)*(-2)/(-2). Solve -f*h + 2 = 4 for h. -1 Let x(a) be the second derivative of a**4/12 - a**3/3 + a**2 - 6*a. Suppose 2*k - 6 = -3*p + p, 4*p = 4*k - 12. Let c be x(p). Solve c*v = 3*v + 5 for v. -5 Let n be ((-429)/22)/(3/(-2)). Let w(y) be the second derivative of -y**5/20 + y**4 + 2*y**3 + 9*y**2 + y. Let u be w(n). Solve b = u*b for b. 0 Suppose 2*f - 14 = -4*p, -10 = p - 6*p - 5*f. Suppose 4*k + 3*n - p = -k, 3 = 3*k + n. Let t be (-3)/(-51) - 1344/(-272). Solve 0 = -2*o - k - t for o. -3 Suppose -10*n - 275 + 725 = 0. Solve -8*v = v + n for v. -5 Let h be 5795/65 - ((-164)/(-52) + -3). Let d = h + -75. Solve y + 13 = d for y. 1 Let n(k) = -k - 4. Let o be n(-6). Suppose 0 = -7*a + o*a + 15. Let f = -484 + 485. Solve -a*v + 4 = f for v. 1 Suppose l = 2*d - 6, 7*l - 2*l = -d + 3. Solve -14 + 2 = -d*q for q. 4 Let s be 10/95 + (-6)/57. Solve s*i = 2*i + 10 for i. -5 Let m = 249 - 237. Solve -m = 3*a - 3 for a. -3 Let k(a) = -19*a**2 + 18*a**2 - 3 + 4*a**3 - 3*a**3. Let i be k(2). Solve -i = -y + 1 for y. 2 Let f(p) be the second derivative of -p**3/3 + 18*p**2 - 12*p. Let r be f(18). Solve r = -5*q + 5 for q. 1 Suppose -2*f + 3*f - 11 = 0. Suppose 2*a - f - 11 = 0. Suppose 6*q + 6 = 30. Solve -q*l - a - 1 = 0 for l. -3 Suppose -w + 1 = -1, 2*l + w - 10 = 0. Suppose -j + 5 = g + l, 0 = -4*g + 2*j + 28. Solve g*u - 3 = 2*u for u. 1 Let m = 137 + -133. Let o(u) = 11*u - 44. Let q be o(m). Solve q = -3*d + d for d. 0 Suppose 0 = -2*b + 1 + 3. Suppose -3*o = -3*v + 21, 0*v - 8 = v + b*o. Solve -v*z = z - 9 for z. 3 Let s be -4 - -9 - (6 - -2)/4. Solve -s*y - 36 = -33 for y. -1 Suppose 13 = -4*k - 5*d, -7 - 10 = k + 4*d. Let w = -88 - -92. Suppose -3*i - 5*u + 29 = -w, 0 = i - 2*u. Solve 0 = -i*s + k*s + 12 for s. 4 Let w = -1330 - -1322. Let h(j) = -6*j**2 - j + 1. Let o be h(1). Let t = o - w. Solve 4 = t*l - l for l. 4 Let r(d) = -8*d - 1. Let w(c) = c**2 + 1. Let v(o) = r(o) + 2*w(o). Let a be v(5). Let z = -11 + a. Solve z*x = -x for x. 0 Let y(p) be the first derivative of -p**3/3 + 7*p**2 + 22*p - 1. Let j be y(16). Let h(l) = -l**2 - 13*l - 25. Let v be h(j). Solve 3 = -v*i - 2 for i. -1 Suppose 0 = -l + 4*w - 4, 0 = -4*l - 3*w + 154 - 151. Solve l = -7*m + 2*m for m. 0 Suppose s + 8*q - 4*q - 281 = 0, 0 = s + 2*q - 285. Solve 290*t = s*t for t. 0 Let k = -7 - -11. Suppose k*n - 5*b = 4, 4*b + 27 = -3*n - 1. Let t be n/(-2)*(-20)/(-5). Solve 0*a = 2*a - t for a. 4 Let c(q) = q**3 - 4*q**2 - 33*q + 10. Let v be c(8). Solve v*l - 1 = 9 for l. 5 Let s(l) = -53*l + 268. Let y be s(5). Suppose 3*f = -4*d + f - 2, 0 = -d + f - 5. Let c be (-8)/6*3/d. Solve -c*v = -3 - y for v. 3 Let l(i) = -i**3 - 23*i**2 - 24*i - 36. Let c be l(-22). Solve -c - 12 = -4*d for d. 5 Let t be 3/17 - 20500/(-4250). Let f = -1 - -1. Suppose o - 2*k - 7 = f, o - 2*o - k = -1. Solve 2 = t*c - o for c. 1 Let u = -336 - -336. Solve u = -p - 3*p + 16 for p. 4 Let f(s) = s**2 + 8*s - 18. Let m be f(2). Solve j = -j + m for j. 1 Let l = 379 + -375. Solve -2*i + i + l = 0 for i. 4 Let s be (-1 + 3/1)/((-86)/(-1161)). Solve -4*m - 7 + s = 0 for m. 5 Let z(h) = -2*h**3 + 32*h**2 - 33*h + 58. Let t be z(15). Solve t*m - 11*m = 7*m for m. 0 Let s = 302 - 302. Solve s = 6*c - 5*c - 3*c for c. 0 Suppose o - 3*o = -8. Let m(x) = x**3 - 4*x**2 + 2*x + 4. Let z = -30 - -34. Let n be m(z). Solve o*v + n = v for v. -4 Let y(p) = -p**2 - 7*p - 7. Let l be y(-6). Let h be (3 - 1) + 0 - (1 + l). Solve -6*d + 4 = -h*d for d. 1 Suppose 0 = -3*g + 5*g + 3*i + 13, -4*g - 5*i - 25 = 0. Let d be (2/3)/((-10)/6)*g. Solve y - 3 = -d*y for y. 1 Suppose 4*k - 3*k = 3*k. Solve k = -8*d + 3*d - 20 for d. -4 Let z be -2 - (0 - 4) - 103. Let x = z - -105. Solve -t + x*t - 12 = 0 for t. 4 Let b = -2 + -10. Let f = b - -12. Suppose 3*l = 3*s - 8*s + 9, 3*s + l - 7 = f. Solve 5*r + s = 8 for r. 1 Let y(z) = -z**3 - 6*z**2 + 7*z + 5. Let w be y(-7). Suppose -5*a = 2*k - 1 - 26, 3*a + w*k - 20 = 0. Solve -a*b + 3 = 23 for b. -4 Suppose q - 56 = 4. Let s be -1 - (-3 + (-8)/(-4)). Suppose c = -2*b + 4*b - 25, -4*b + 4*c + q = s. Solve 0 = 3*p - 5*p - b for p. -5 Let g = -561 + 561. Solve g = -6*h + h + 5 for h. 1 Suppose 2*p = -13 + 201. Solve 12 = 98*s - p*s for s. 3 Let u = 118 - 94. Let v = -20 + u. Solve 2*l = v*l for l. 0 Let g = 17 - 18. Let h(q) = -q + 1. Let k be h(g). Suppose 5*o - 3 = k*o. Solve 2 + o = y for y. 3 Suppose -q + 20 = -3*j, 4*q + 3*j - 10 = j. Solve -q*w - 21 = 4 for w. -5 Suppose 3*x - 10 = 35. Suppose 0 = 7*n - 12*n + x. Solve -n = 3*m + 6 for m. -3 Suppose -24 = -a - 3*a. Suppose -5 = 4*b - 5*u - 26, 3*u + 3 = 0. Suppose -b = -a*q + 4*q. Solve 0*f =
{ "pile_set_name": "DM Mathematics" }
What is y rounded to four decimal places? -0.005 Let j = 15915 + -16084.51. What is j rounded to the nearest integer? -170 Let n = 39439 + -39429.2655. Round n to zero dps. 10 Suppose -13*u - 27 = -16*u. Let p be ((-12)/u)/((-1)/(-234225)*-3). What is p rounded to the nearest 10000? 100000 Let n = 502 - 830. Let b = 319.03 + n. Let f = 9 + b. Round f to 2 dps. 0.03 Let i = 54.5 + -54.49995868. Round i to seven dps. 0.0000413 Let s be ((-14)/6)/((-26)/39)*-10. Let u be 2500*((-18424)/s + -2). Round u to the nearest 100000. 1300000 Let k = 27401 + -27402.4773. Round k to 1 decimal place. -1.5 Let h = -488503.57999144 - -488460.28. Let q = -43.3 - h. Round q to seven dps. -0.0000086 Let v = 0.028227171 - 0.028167. Round v to six dps. 0.00006 Let c = 4.85624 - 4.84. Let h = 0.0224 - c. What is h rounded to 3 decimal places? 0.006 Let j = 21367 - 21274.605. Round j to the nearest 10. 90 Let w = -11205.91 - -11149. Let a = w + 57. Let i = -0.28 - a. Round i to 2 dps. -0.37 Let s = 9736.054 - 9728. Let x = -7.3 + s. What is x rounded to 1 decimal place? 0.8 Let b = -0.243955529 - -0.243757. Round b to five decimal places. -0.0002 Let y = -74.5 + 55. Let j = y + 13. Round j to 0 decimal places. -7 Let j(v) = 2*v - 6 + 5*v**3 + 8 - 5*v**2 - 4*v**3. Let h be j(4). Let t be (183/h)/(3/1200). What is t rounded to the nearest one thousand? -12000 Let z = 27.542 + -27.597614. What is z rounded to 2 dps? -0.06 Let r = 0.096 + 66.904. Let k = 0.3734 + 66.6026. Let z = r - k. What is z rounded to 2 decimal places? 0.02 Suppose 42*s = 25*s - 32497642. Let y = s + 5491626. Round y to the nearest one hundred thousand. 3600000 Let q = -205.19 + 205.1899972491. What is q rounded to six dps? -0.000003 Let d = 406.72 - 402.1067. Let f = 0.0567 + d. What is f rounded to zero decimal places? 5 Let i be -4856 - ((-3)/9*4)/((-4)/12). Round i to the nearest 1000. -5000 Let l(n) = -50794*n**3 + n**2 - 6*n + 4. Let c be l(1). Round c to the nearest one hundred. -50800 Let m = 5.6739 - 0.5959. Round m to one dp. 5.1 Let m = 223.66 - 223.683868. What is m rounded to 2 decimal places? -0.02 Let k = 2076 - 2084.43. Let c = -564.43 - k. Let a = -556.00327 - c. Round a to 4 dps. -0.0033 Let k = 10.34 - 10.5662. Let l = 151.0538 - k. Let s = -154 + l. Round s to one decimal place. -2.7 Let i = 217669620.199041 - 217669440. Let h = i - 180.2. What is h rounded to 4 decimal places? -0.001 Let x = -1555.34 - -2.34. Let l = -1553.000004323 - x. What is l rounded to seven dps? -0.0000043 Let q = -6990.4 + 8010. What is q rounded to the nearest ten? 1020 Let q(a) = 12998*a + 2. Let h(b) = -3354*b + 1 - 22643*b - 6. Let v(k) = -3*h(k) - 5*q(k). Let r be v(-5). What is r rounded to the nearest ten thousand? -70000 Let p = 2.29342 + -2.495. What is p rounded to 2 dps? -0.2 Let o = 973.1 + -1003.791. Round o to the nearest integer. -31 Let a = 438 + -401.2. Let u = -44 + a. Let p = 7.200077 + u. What is p rounded to 5 decimal places? 0.00008 Suppose -4*a - 31 = -3*z - 94, z + 5 = 0. Let k = 10 - a. Let q be (-1 + 7)/(k*3/(-11500)). Round q to the nearest one thousand. 12000 Let t be -8 - (-1364 + 3) - 4. Round t to the nearest ten. 1350 Let q = -31956 - 691744. Round q to the nearest 100000. -700000 Suppose 2*d - 4 = 0, 0 = -j + 3*j + d - 48164562. Suppose -j - 23361720 = 29*b. Round b to the nearest 100000. -1600000 Let r = 1267.4 - 1258.6. What is r rounded to the nearest one hundred? 0 Suppose -1590*p + 1568*p + 3939100 = 0. What is p rounded to the nearest 1000? 179000 Let x(v) = -16734*v**2 - 10*v + 36. Suppose 63 + 49 = 16*a. Let o be x(a). Round o to the nearest 100000. -800000 Let n = 0.26647 - 251.83647. What is n rounded to the nearest integer? -252 Let q = 7552.1 + -7560.0978. What is q rounded to two dps? -8 Let l = 119.000298 - 119. Round l to 5 dps. 0.0003 Suppose 5*m + s - 15 = 0, 5*s = -3*m + 29 + 2. Suppose -5*x + x - m*y + 258800004 = 0, -3*x + 194100008 = 4*y. Round x to the nearest 1000000. 65000000 Let y(j) = -16519*j**2 - 21. Let b be y(-5). Let u be 18 - 11 - (-6)/(-2) - b. What is u rounded to the nearest 100000? 400000 Let g = -12.0284 + 6.638. Let m = g + 5.57. Round m to two decimal places. 0.18 Let z = -1993 + 489. Let l = z - -1504.000000753. What is l rounded to seven decimal places? 0.0000008 Let y = -10874.9988317 + 10875. What is y rounded to 4 dps? 0.0012 Let p = -234.822 - -234. Let y = -0.821999551 - p. What is y rounded to 7 dps? 0.0000004 Let m = -3.6 + 5.08. Let z = m - 95.48. Let p = z - -93.867. Round p to two dps. -0.13 Let r = -2.9 + -2.2. Let i = r - -5.003. Let y = i - -0.097052. Round y to five decimal places. 0.00005 Let f = -88.84 - 35.58. Let p = 137.6 + f. What is p rounded to 0 dps? 13 Let i = 598.87 + -598.37454. Let s = 268.96546 - i. Let g = -267 + s. Round g to 1 decimal place. 1.5 Let k = -275098.99863 - -288145.9091. Let i = 13047 - k. Let q = 0.09 - i. Round q to five dps. 0.00047 Suppose t - 55 + 46 = 0, 3724718 = -y + 2*t. Round y to the nearest 10000. -3720000 Let v = -38329011.81151116 - -38329004.8. Let r = v + 7.03051. Let p = -0.019 + r. What is p rounded to 7 dps? -0.0000012 Let o = 0.855 - 885.855. Let h = 885.0549 + o. What is h rounded to two decimal places? 0.05 Let h = 240.43 - 242. Let t = h + -6.32. Let r = -7.890351 - t. Round r to five dps. -0.00035 Let m = -39 - 13. Let o = 52.068406223 + -0.068427223. Let n = m + o. Round n to 5 dps. -0.00002 Let d = -5779 - -9797. Round d to the nearest 100. 4000 Let b = -3429.410115 - -3429.2. Let m = 0.54 + -0.33. Let s = m + b. What is s rounded to five dps? -0.00012 Let b = -4610 + 1504. Let h = b + 3106.0002786. Round h to five dps. 0.00028 Let b(l) = 5*l - 38. Let f be b(22). Let j be 2/9 - 1096/f. Let w(o) = -o**3 - 14*o**2 + 13*o + 14. Let x be w(j). Round x to the nearest 10. 40 Suppose c + q = 4269, 5*q = 3*q. Suppose 4*o + c = -5*f, f + 4*o = -0*f - 857. What is f rounded to the nearest 100? -900 Suppose -5*z - 200 = -o + 93, 0 = -2*o + z + 613. Suppose 321*b = o*b + 1236300. Round b to the nearest 10000. 100000 Let a(z) = -275*z + 29. Let h(b) = 1376*b - 151. Let i(g) = 22*a(g) + 4*h(g). Let j = -2 - 19. Let n be i(j). What is n rounded to the nearest one thousand? 12000 Let u = -0.1093 - 14.0207. Let s = 4.17 - u. Round s to the nearest 10. 20 Suppose y = 5*g - 17, -5*g = 9 - 34. Suppose 4*k - 16 - y = 0. Suppose 774879 = k*x - 545121. Round x to the nearest 100000. 200000 Let z = -59 + 98. Let v = -27.7 + z. Round v to the nearest integer. 11 Suppose 215*h = -q + 214*h + 9959995, -29880010 = -3*q + 2*h. What is q rounded to the nearest 1000000? 10000000 Suppose -n + 7 = 4. Suppose 4*q = -n*a + 25, -16 = -q - 6*a + 2*a. Let u be -3*(q/24 - 51/(-6)). Round u to the nearest 10. -30 Let y = -429 - -627. Let r = -198.00052 + y. What is r rounded to four dps? -0.0005 Let m be 124067992/(-28) - 14*(-2)/(-98). Round m to the nearest ten thousand. -4430000 Suppose 4*g - p - 72547993 = 0, 44*p - 36274021 = -2*g + 41*p. Round g to the nearest 100000. 18100000 Suppose 76 = -23*y + 30. Let m be (5705 + 35/(-7))/(y/(-14)). Round m to the nearest one thousand. 40000 Let j be 6 + (-867600207)/36 + 2/(-8). Let f be 4/((-12)/(-15))*1. Let w be (2 - 15/f)*j. Round w to the nearest 1000000. 24000000 Let o = -37.422 + -2.558. Let y = 38.8 - -2.2. Let r = o + y. What is r rounded to 1 dp? 1 Let r = 0.153 - 0.07236. Round r to 3 dps. 0.081 Let i(d) = -d**3 - 13*d**2 - 26*d + 9. Let n be i(-11). Suppose -n*t + 78979 = -127933. Round t to the nearest one hundred. 3900 Let q = -1696.65 + 1608.5. What is q rounded to the nearest ten? -90 Let a = 0.54352 + 0.00198. What is a rounded to one dp? 0.5 Let p = 35157.223 - 35126. Let c = p - -0.377. What is c rounded to the nearest 10? 30 Let j = -2375.07 + -2160.09. Let v = j - -4489.1862. Let a = v + 46. Round a to three dps. 0.026 Let z = -34197 - -34196.99958438. Round z to five decimal places. -0.00042 Let l = -0.05887 - -0.052459. What is l rounded to four dps? -0.0064 Suppose -7*c + 11*c + 5*o - 2856425 = 0, -2*c + o + 1428195 = 0. Round c to the nearest 10000. 710000 Let u = 35105.00019091 - 35105. Round u to 5 decimal places. 0.00019 Suppose -4*w - 7143735 = -7*w. Suppose -1005775 = 5*i + w. Let c = -62596 + i. What is c rounded to the
{ "pile_set_name": "DM Mathematics" }
for x. 1 Solve 4*c + 5*w = 10, 4*w = -148*c + 289*c - 139*c + 34 for c. -5 Solve -a + 3 = -j, 3*a + 17 = -j + 30 for j. 1 Solve 63*a = 65*a + 2, -p = 4*a + 10 for p. -6 Solve 0 = 5*c, 49*w = 53*w - c + 5 + 3 for w. -2 Solve 4*w + 1130 - 1142 = 0, -7*y = -3*w + 2 for y. 1 Solve d - 1925*t + 1927*t - 9 = 0, 2*t = 2*d - 6 for d. 5 Solve 6 = 3*r + 2*x - 58, -60 = -2*r - 2*x for r. 4 Solve -2*c - 2 = 177*z - 176*z, 0 = -4*z - 5*c - 5 for z. 0 Solve -21*y + 14*y = -k + 17, 20 = -2*k - 4*y for k. -4 Solve 3*u + 3*n = -36, -19 + 11 = 2*u - 2*n for u. -8 Solve 4*d = 5*o - 21, 2*d = -182*o + 183*o - 15 for o. -3 Solve -11 = 5*f - y, -4*y = 452*f - 448*f + 4 for f. -2 Solve 168*p - 5*j = 173*p + 20, p + 9 = -2*j for p. 1 Solve -67*l = -66*l - h - 4, 5*l - 3*h - 22 = 0 for l. 5 Solve 2*x - 14 = -2*r, 0 = 3*x + 3*r - 5*r + 4 for x. 2 Solve 85*b - 19 = 89*b + 3*y, -2*b = -2*y - 8 for b. -1 Solve 6*b + 6 = 14*g - 10*g, -5*g = b - 33 for g. 6 Solve 7*a = 4*s - 6, 2*a - 116 = 2*s - 122 for s. 5 Solve -5*d - 5*s = -5, -15938 = -4*d + 3*s - 15934 for d. 1 Solve 37 = 14*y - 17*y - 5*b, -2*y + 17 = -5*b for y. -4 Solve -a = -5, m - 78*a = -79*a for m. -5 Solve 5*n = -13*b - 27, -1615 = -6*n - 2*b - 1593 for n. 5 Solve -t + 3*j = j - 13, 16*t = 22*t - 3*j - 33 for t. 3 Solve 0 = -3*a + 2*m + 18, -5*a - 3965 = -2*m - 3999 for a. 8 Solve -175*k + 170*k + a - 37 = 0, 7*k = a - 53 for k. -8 Solve 0 = 5*l + 2*n - 60 + 92, 18*l - n = -66 for l. -4 Solve 15*q + h + 11 = 0, 2*q - 179*h + 181*h - 6 = 0 for q. -1 Solve -2*r = 2*n, 12*n = -0*r - r + 6*n + 5 for r. -1 Solve 4*l + 16*f + 21 = f - 8, 32 = 5*l - 4*f for l. 4 Solve -p = o + 3, o - 113*p = -109*p + 37 for o. 5 Solve -3*h + 7 = -w, 2464 = -2*h + w + 2467 for h. 4 Solve y + 7 = -2*d, 2*d - 22*y + 17*y = -1 for d. -3 Solve -4*n - 77 = -3*w, 829*w = 815*w - 4*n - 26 for w. 3 Solve -n + 3*i + 11 = 0, 250*i - 20 = 254*i for n. -4 Solve 0 = 4*v - 3*g - 35, 96*v + 2*g + 85 = 111*v for v. 5 Solve 0 = -5*m - 2*c + 23, -5*m + 25 - 4 = 4*c for m. 5 Solve 52*w - 32 = -45*w + 93*w - 8*b, 3 = b for w. 2 Solve 5*f = n - 25, 4*n - 161*f = -163*f + 12 for n. 5 Solve 0 = -u - 4*d - 25, 4*d = -2*d - 0*d - 30 for u. -5 Solve -6*l + 5 - 4 = 4*p - 0*p - 9, 2 = 2*l for p. 1 Solve s - 4*z + 32 = 0, -175*s - 166*s + 16 = -343*s - 4*z for s. -16 Solve -5*z - 8*w = -13*w - 55, -w = 12*z - 2 for z. 1 Solve i + 18 = -a, -a - 250 = 4*i - 193 for a. -5 Solve 20*u - 16*u = 0, -5*u - 5 = w for w. -5 Solve -3*n = 3*s - 9, -5*s + n - 689 = -674 for s. -2 Solve 5*v - 25 = 81*c, -16*v - 25 = 3*c - 21*v for c. 0 Solve 9*x - 59 = 2*m, -4*m + 18 = -3*m + 5*x for m. -7 Solve -4*w - 35 + 49 = -i, 2*w - 6 = 0 for i. -2 Solve -2*f = -3*a + 45, -338*f - 6 = -340*f for a. 17 Solve p + r + 6638 = 6636, 4*p + r = -2 for p. 0 Solve 4*q = -4*g - 52, 25*q + 12 = -4*g + 26*q for g. -5 Solve -15*t - 130 = -9*s + 5*s, -4*t + s = 35 for t. -10 Solve 3*y + 51 = 2*g, -5*g + 471 = -y + 376 for y. -5 Solve 3*v = 4*d - 9, 7*d + 5*v + 15 = 11*d for d. 0 Solve 2*s + 210*x = 207*x - 16, -3*s - 4*x = 23 for s. -5 Solve -5*n = -w - 3 - 5, -358*n + 363*n = 5*w + 40 for w. -8 Solve -f = 2*u + 3928 - 3932, -f + 5*u = 3 for f. 2 Solve 3*k - 4*b = -15, 326*b = 321*b for k. -5 Solve -25 = 614*j - 619*j, 5*j = 4*x + 37 for x. -3 Solve 3*l - z = 0, 4*l - 3*z = 21 - 16 for l. -1 Solve 0 = -2*u + 4, 4*o - 5*u = 5*o - 10 for o. 0 Solve l + 5*i + 15 = 0, -4*l - 27*i + 32*i + 15 = 0 for l. 0 Solve 175*w = 173*w + c - 9, 3*c + 28 = -5*w for w. -5 Solve 31*y + 4*h + 6 = 25*y, h = -2*y for y. 3 Solve 5*p + s = -44, 198*s + 32 = -4*p + 194*s for p. -9 Solve -24 = 3*u - 28*i + 32*i, 2*i + 12 = 0 for u. 0 Solve 2*s = -165*k + 161*k - 8, -2*k - 4 = 4*s for s. 0 Solve 4*w - 1 = 2*f - 9, f = -w + 4 for f. 4 Solve 0 = g - 11*w + 18*w - 16, w = -4*g + 10 for g. 2 Solve -5*v + 8*k = 38, 18 = -19*v + 22*v + 2*k for v. 2 Solve 3389*s = p + 3390*s + 3, -3*s = 4*p + 8 for p. 1 Solve 4*c + 4*w = 24, 1417*w - 12 = 2*c + 1413*w for c. 2 Solve 5*f - 963 = 4*m - 947, 5*m + 5*f = -20 for m. -4 Solve -3*l - 96 = -5*h, -5*h + 100 = 198*l - 203*l for h. 18 Solve -2 = -5*d + 3*i, 1690*d - 1686*d - 3*i = 4 for d. -2 Solve 3*m = -5*c + 43, 0*m - 2*c = -m - 4 for m. 6 Solve -2*d + 23 = t, -5*d = 31342 - 31327 for t. 29 Solve -5*m + 8 = -m, 8*m = 3*w + 1 for w. 5 Solve 3*r = t - 1, -2237*r + 2233*r = -3*t - 2 for r. -1 Solve 3*v - 36 = 3*m, -232*m + 228*m + 8*v - 48 = 0 for m. -12 Solve k = 5*q + 20, -3*k + 4*q + 72 = 56 for k. 0 Solve 16 = -4*i, 902*t = 901*t + 3*i + 7 + 2 for t. -3 Solve -23*o = 9*m - 21*o - 22, 4*o - 18 = -5*m for m. 2 Solve -8*u = -y - 7*u + 1, -u = y - 7 for y. 4 Solve 1239*f + 2*a = 1240*f - 1, f + 6*a + 15 = 0 for f. -3 Solve 64*z - 5*j - 14 = 68*z, 0 = -5*j - 10 for z. -1 Solve 3254*w - 13 = -4*l + 3257*w, 2 = -l - w for l. 1 Solve 7120*b + 3*z + 56 = 7124*b, -2*b + 3*z = -34 for b. 11 Solve -39 = -3*z - 3*f, 5*f + 61 - 126 = 2*z for z. 0 Solve -4*l + 37*g - 18*g - 12 = 16*g, 12 = -4*l - 7*g for l. -3 Solve 383*m + 18 = 386*m - 2*d, 0 = 2*m + 3*d + 53 for m. -4 Solve -z + 3*v + 25 = -2*v, 7*z - 3*v + 8*v = -65 for z. -5 Solve 43 = 4*n - x + 10, n - 37 = 6*x for n. 7 Solve -5*z + 140*t - 142*t - 12 = 0, 64 = -12*z + 4*t for z. -4 Solve -a + 997*p + 33 = 1002*p, 7*a - 125 = -3*p - 54 for a. 8 Solve 3*p - 41 = -5*r - 31, -4*p - 24*r + 100 = 0 for p. -5 Solve -5*f - 3127*r + 29 = -3124*r, 2*f + 2*r - 10 = 0 for f. 7 Solve 1267*m + 28 = 1269*m - 3*y, 3*y = 3*m - 33 for m. 5 Solve -67*h + 69*h = 3*m + 2, 0 = m - 2 for h. 4 Solve 0 = -7*y - 7, -y = 12*g - 9*g + 7 for g. -2 Solve 5*h = 2*o + 45, -5*o - 18661*h - 39 = -18663*h for o. -5 Solve -6*n = -5*s - 678 + 684, 2 = -2*n for s. 0 Solve -4*b = -1700*t + 1707*t + 31, -28 = -2*t + 5*b for t. -1 Solve 10*h + y = 52, -15891*y + 15894*y + 9 = 3*h for h. 5 Solve -2*o - 187*c + 192*c = -5, -3*o + 4*c = -11 for o. 5 Solve -12*g + 3*z - 441 = -399, 5*g = 3*z - 14 for g. -4 Solve -w + 10*o + 188 = 18*o + 23*o, -2*o = -13 + 1 for w. 2 Solve -5 = -159*f + 163*f - i, 0 = 2*i - 2 for f. -1 Solve -2*s = -3*q - 15, -3*s - 10 = -46*q + 48*q for q. -5 Solve 484 = 4*q - 5*b + 430, 2*b = -4 for q. 11 Solve 5*m = 5*x - 35, 4*x - 28068 = -2*m - 28028 for m. 2 Solve 2*s = 2*j - 56 + 52, 4*j - 32 = -4*s for j. 5 Solve 3*u + 177 = -4*k + 194, -4*k = -2*u - 22 for k. 5 Solve -6 = 2*f + 5*d, -2*f + d = 2 + 4 for f. -3 Solve -3*b + 21 = p - b, 65*b - 63*b = -6 for p. 27 Solve 30*u + 45 = 36*u + 3*n, -n = -u for u. 5 Solve h = -3*r - 5, 3*h - 3*r + 717 - 702 = 0 for h. -5 Solve 15 = -232*v + 227*v, -4*u - 4*v = 56 for u. -11 Solve -5*r - 20 = 0, 5 = -8*i + r - 7 for i. -2 Solve p + 414*a - 413*a + 5 = 0, -95 = -p + 9*a for p. 5 Solve -q - o = -1, 5*q + 5*o = 8*o - 27 for q. -3 Solve m + 2*v = -25, -m + 5 = -2476*v + 2475*v for m. -5 Solve 0 = 5*y - 2*b + 21, 0 = y - 4*b - 234 + 231 for y. -5 Solve -30 = c + 276*q - 281*q, -2*c + q = 6 for c. 0 Solve j - s = 1114 - 1115, 2*s = 5*j + 14 for j. -4 Solve -795*l + 800*l + 20 = 3*z, -10 = -5*l - 3*z for l. -1 Solve -h + 123 = 4*a, 69*h = 66*h - 2*a + 69 for h. 3 Solve 0 = 7*p + 5*g + 8 - 61, 5*p + 5*g = 35 for p. 9 Solve -a + 5*p = -18, 5*a - 16*p = -22*p - 34 for a. -2 Solve 4*m - 54 = 5*f, 4*m + 7*f = -60 - 6 for m. 1 Solve -3*r - 8 = -127*b + 132*b, 3*b + 32 = 5*r for b. -4 Solve 6 = 5*t + 3*y, 0 = -4*t + 794*y - 798*y + 16 for t. -3 Solve 5*p + g + 5 = 0, -32*p + 42*g + 419 = -33*p for p. 1 Solve 1078*m - 1073*m - 9 = -3*z, -z + 8*m = 26 for z. -2 Solve 54 = b + 4*h + 55, 14 = 3*b - 5*h for b. 3 Solve 2*x + 4*p = -42, -498*p + 497*p - 3 = -x for x. -5 Solve -4*j - 21 = 5*s, -3*j = -2*s - 4578 + 4588 for j. -4 Solve -4*s = 5*w - 86, -25566*s + 25561*s + 99 = 2*w for w. 2 Solve -4*n + 36 = 2*u, -8*n - 655 = -687 for u. 10 Solve -39*p = -41*p - 5*v + 6, 12 = 8*p - 4*p + 6*v for p. 3 Solve 4*a = -4*m, -5*m + 6*a - 11 - 22 = 0 for m. -3 Solve 5*a - 35 = 0, 4*a + 1293 = 5*g + 1306 for g. 3 Solve -b = 24*w - 21*w + 15, 2*w + b + 11 = 0 for w. -4 Solve 0 = 2*r - p - 19, 9*r - 4*r - 2*p - 50 = 0 for r. 12 Solve 5*l = 5, 34*g - l - 1 = 33*g for g. 2 Solve -8*y + 6*y + 3*i = -20, -i - 16 = 4*y for y. -2 Solve 7*m - 4*m + 2*n = 7*m + 6, n = -3 + 8 for m. 1 Solve 24*f + 4*v - 58 = 19*f, 0 = 3*f + 5*v - 66 for f. 2 Solve 102*t - 106*t + 2*l
{ "pile_set_name": "DM Mathematics" }
*4 - 2/11*w + 0 - 6/11*w**d + 6/11*w**2. 2*w*(w - 1)**3/11 Let g(j) be the second derivative of -1/3*j**4 - 8/3*j**3 + 0*j**2 + 0 + 17*j. Factor g(q). -4*q*(q + 4) Let z(d) be the first derivative of -d**3/12 - d**2/4 + 506. Determine t, given that z(t) = 0. -2, 0 Factor -22/3*x - 2*x**4 - 92/9*x**2 - 2 - 2/9*x**5 - 20/3*x**3. -2*(x + 1)**3*(x + 3)**2/9 Let k(y) = -2*y**3 + y**2 - 4*y. Let u be k(2). Let v be u/(-75) + (-6)/(-15). Factor v*t**2 + 2/3*t + 0. 2*t*(t + 1)/3 Let c = -43 + 45. Find p, given that 28*p**3 + 36*p - 8*p**4 + 24*p**2 + 12*p**4 + 34*p**2 + 2*p**c = 0. -3, -1, 0 Let j = 15173/10 + -1517. Let f(d) be the second derivative of 11*d - 13/12*d**4 + 2*d**3 + 0 - 2*d**2 - 1/30*d**6 + j*d**5. Factor f(l). -(l - 2)**2*(l - 1)**2 Suppose -4*f + 4*n + 4 = -12, 0 = 5*f + n - 38. Suppose -4*w + f = -3*w - b, 11 = w - 2*b. Find t such that -15/8*t**2 + 27/8 - 3/8*t**w - 9/8*t = 0. -3, 1 Let q(p) = 2*p**5 - 4*p**4 - 12*p**3 + 10*p**2 - 14*p - 12. Let y(h) = h**3 + h**2 + h + 2. Let a(w) = -q(w) - 6*y(w). Determine f so that a(f) = 0. -2, 0, 1, 2 Let m(l) be the first derivative of 3*l**5/5 - 102*l**4 + 4624*l**3 + 289. Factor m(g). 3*g**2*(g - 68)**2 Let o(v) be the third derivative of 1/168*v**4 - 1/420*v**5 - 20 + 0*v - v**2 + 0*v**3. Let o(y) = 0. What is y? 0, 1 Let d be -1 + (-1 - -1) + (-27)/(-27). Factor w**4 + 8*w**3 + d*w**2 + 2*w**4 - w**2 + 2*w + 8*w**2. w*(w + 1)**2*(3*w + 2) Solve 34/5*z + 10*z**2 + 4/5 - 88/5*z**3 = 0. -1/4, -2/11, 1 Suppose 0 = 5*w + 3*d - 93, 4*d = -3*w + 22 + 36. Let s = w - 71/4. Find j, given that 1/4*j - 1/4 - s*j**4 + 1/4*j**5 - 1/2*j**3 + 1/2*j**2 = 0. -1, 1 Factor 64/5*w**2 + 4/5*w**5 + 24/5*w**4 + 56/5*w**3 + 8/5 + 36/5*w. 4*(w + 1)**4*(w + 2)/5 Suppose -q - 4*q = -15. Let x = -29 - -13. Let f(h) = 10*h**3 - 16*h**2 + 6*h. Let g(j) = 2*j**3 - 3*j**2 + j. Let r(p) = q*f(p) + x*g(p). Factor r(s). -2*s*(s - 1)*(s + 1) Let l(q) be the third derivative of 0 - 1/300*q**5 - 1/60*q**4 + 0*q**3 + 0*q - 22*q**2. Let l(b) = 0. What is b? -2, 0 Let m be (-874)/3 - 4/36*-3. Let y = m + 295. Factor 0 - 3/5*t**y - 6/5*t**2 - 9/5*t**3 + 0*t. -3*t**2*(t + 1)*(t + 2)/5 Factor 3*c**3 - 1653*c + 3322*c - 1637*c - 7*c**3 + 8*c**2. -4*c*(c - 4)*(c + 2) Let h(i) be the second derivative of i**4/60 - 83*i**3/15 + 6889*i**2/10 + 45*i + 1. Factor h(m). (m - 83)**2/5 Let j(g) = -155*g**2 - 17490*g + 4275. Let m(l) = -26*l**2 - 2915*l + 712. Let x(u) = -6*j(u) + 35*m(u). Solve x(v) = 0 for v. -146, 1/4 Find t such that -30*t + 36 + 31*t**3 + 25*t**3 - 98*t**3 - 32*t**2 + 36*t**3 = 0. -3, 2/3 Let c be 2/11 - 291/(-33). Let s be 6 + 125/(-20) - c/(-4). Factor 2/3 - 16/3*p - 4*p**3 + 26/3*p**s. -2*(p - 1)**2*(6*p - 1)/3 Let q(d) be the first derivative of 9*d**2 + 5 - 9/10*d**5 + 9/2*d**3 + 6*d - 3/4*d**4. Determine z, given that q(z) = 0. -1, -2/3, 2 Let w be -2 + ((-54)/28)/((-156)/182). Let -1/8*r**2 + 3/8 + w*r = 0. Calculate r. -1, 3 Let a(s) = -276*s**2 - 4*s + 277*s**2 - 10*s - 31. Let z(k) = 6*k**2 - 99*k - 216. Let q(b) = -27*a(b) + 4*z(b). Factor q(l). -3*(l + 3)**2 Let c be (4 - 15/2)*-2. Let m be (-32)/(-14) + (-2)/c. Solve 10*q**2 + 6*q - q + 2 - m + 5*q**3 = 0. -1, 0 Let t(f) be the first derivative of 5*f**6/6 + 15*f**5 + 145*f**4/4 - 345*f**3 + 405*f**2 + 803. Factor t(p). 5*p*(p - 2)*(p - 1)*(p + 9)**2 Let j be 6/(-15) + (-119)/(-35). Let m(c) = -36*c**3 + 8*c**2 - 16*c. Let p(k) = 7*k**3 - 2*k**2 + 3*k. Let s(n) = j*m(n) + 16*p(n). Factor s(u). 4*u**2*(u - 2) Let j(t) be the first derivative of -t**5/180 - t**4/24 - t**3/9 + 11*t**2 - 14. Let l(m) be the second derivative of j(m). Suppose l(n) = 0. What is n? -2, -1 Suppose 9*c = 3*c - 439 + 457. Let b = -1 + 1. Suppose d + b*d**2 + 2/3 - 1/3*d**c = 0. Calculate d. -1, 2 Let b(n) = n**4 + n**3 + n**2 - n. Let f(v) = 6*v**4 + 6*v**3 + 5*v**2 - 5*v. Let p(l) = -2*l + 11. Let g be p(8). Let y(w) = g*b(w) + f(w). Factor y(u). u**3*(u + 1) Factor 0*t + 3*t**3 - 3/4*t**4 + 0 - 3*t**2. -3*t**2*(t - 2)**2/4 Suppose 16 = 2*t - 3*f, -5*t + 3*f - 2*f + 27 = 0. Factor 7*w**4 + 14*w**3 - 5*w**t - 74*w**3 + 43*w**4 - 65*w**3. -5*w**3*(w - 5)**2 Let l(g) = 2*g + 9. Let i be l(-3). Factor -5*z - i*z**2 + 6*z + 11*z. -3*z*(z - 4) Let j(b) be the third derivative of -b**7/70 + 11*b**6/40 - 17*b**5/10 + 3*b**4 - 35*b**2 - b. Factor j(v). -3*v*(v - 6)*(v - 4)*(v - 1) Let w(v) be the second derivative of 1/35*v**5 - 6/35*v**6 + 0 + 2/7*v**4 + 16*v - 2/7*v**2 - 1/7*v**3 + 3/49*v**7. Suppose w(u) = 0. What is u? -2/3, -1/3, 1 Let a be ((-9)/11 + 24/(-132))*0. Let q(v) be the second derivative of 0 - 1/2*v**3 + 1/20*v**6 - 3/8*v**4 + 4*v + 0*v**5 + a*v**2. Let q(p) = 0. Calculate p. -1, 0, 2 Let c(l) = 1. Suppose 0 = -9*m + 4*m + 5. Let a(s) = 12*s**2 - 27*s - 3. Let k(b) = m*a(b) + 9*c(b). Factor k(h). 3*(h - 2)*(4*h - 1) Factor 7 - 1/6*y**2 + 11/6*y. -(y - 14)*(y + 3)/6 Let t(k) be the first derivative of -k**8/840 + k**7/540 + k**6/810 + 14*k**3/3 + 22. Let d(j) be the third derivative of t(j). Find i such that d(i) = 0. -2/9, 0, 1 Suppose -5*x = 3*y + 15, -y = -x + 9 - 12. Factor y + 15/2*r - 5/2*r**2. -5*r*(r - 3)/2 Solve -14/11*s**3 - 40/11*s + 56/11*s**2 + 0 - 2/11*s**4 = 0. -10, 0, 1, 2 Let y = 13768/3 - 4589. Factor -1 + 4/3*q - y*q**2. -(q - 3)*(q - 1)/3 Let u = 36 + -32. Determine b, given that 2*b**5 + 2*b**3 - 4*b**u - 414*b**2 + 414*b**2 = 0. 0, 1 Let f(w) = 9*w**2 + 28*w + 16. Let z(d) = 55*d**2 + 170*d + 95. Let o(i) = 25*f(i) - 4*z(i). Factor o(q). 5*(q + 2)**2 What is p in 77 - 28*p + 5*p**2 + 38 - 42*p - 50*p = 0? 1, 23 Let i(b) be the second derivative of 2*b**5/55 + 137*b**4/66 + 1190*b**3/33 + 289*b**2/11 - 177*b. Factor i(j). 2*(j + 17)**2*(4*j + 1)/11 Let a be (-9)/(27/6) - -7. Let r(g) = 3*g**2 + g. Let p(f) = -3*f**2 - 2*f. Let v(m) = a*p(m) + 4*r(m). Factor v(l). -3*l*(l + 2) Suppose -4*l = 4*f + 4, -3*l + 7*l = -4. Let p = 0 - 0. Factor -1/2*t**2 + f*t + p. -t**2/2 Factor -445/2 + 5/4*v**2 + 435/4*v. 5*(v - 2)*(v + 89)/4 Let t(j) be the first derivative of j**6/165 + j**5/22 + 4*j**4/33 + 4*j**3/33 - 2*j + 8. Let r(p) be the first derivative of t(p). Find s such that r(s) = 0. -2, -1, 0 Suppose -2*r - 10 = -4*r. Suppose 0 = 3*x + q - r - 5, -4 = -4*q. Factor -2*v**3 + v + x*v - 5*v**4 - 2*v + 5*v**2. -v*(v - 1)*(v + 1)*(5*v + 2) Let y be (8/8)/((-8)/(-16)). Factor 4/3*d**y - 4 - 8/3*d. 4*(d - 3)*(d + 1)/3 Factor 3/5*u**3 - 144/5 + 156/5*u - 48/5*u**2. 3*(u - 12)*(u - 2)**2/5 Let q(k) be the third derivative of 1/21*k**4 - 1/21*k**5 + 9*k**2 - 1/588*k**8 + 1/70*k**6 + 0*k + 2/735*k**7 + 0*k**3 + 0. What is z in q(z) = 0? -2, 0, 1 Let c(o) be the first derivative of 0*o + 16 + 3/16*o**4 + 3/8*o**2 - 1/2*o**3. Factor c(r). 3*r*(r - 1)**2/4 Let a(u) be the first derivative of -23/24*u**4 - 5/24*u**6 - 5 - 1/8*u**2 + 3/4*u**5 + 1/2*u**3 + 12*u. Let l(h) be the first derivative of a(h). Factor l(s). -(s - 1)**2*(5*s - 1)**2/4 Let i(o) = -o**4 - 8*o**2 + 3*o + 12. Let h(m) = m**4 + 2*m**3 + 8*m**2 - 4*m - 11. Let p(t) = 3*h(t) + 2*i(t). Factor p(s). (s - 1)*(s + 1)*(s + 3)**2 Let s(d) = d**2 + 7*d - 3. Let o be s(-6). Let v = 11 + o. Determine l so that 2*l**4 - v*l**3 + 2*l**5 - 3*l**2 + 3*l**2 - 2*l**2 = 0. -1, 0, 1 Factor -1/3*m**3 + 8/3*m + 0 - 7/3*m**2. -m*(m - 1)*(m + 8)/3 Let x = -110 + 104. Let u be 0/(-2) + x/(-27). Factor 0*y + 0 + 2/9*y**2 - u*y**3. -2*y**2*(y - 1)/9 Let q(p) be the second derivative of -3*p**5 + 13*p**4/3 + 4*p**3/3 - 144*p. Factor q(j). -4*j*(j - 1)*(15*j + 2) Let h(b) be the second derivative of -121*b**5/20 - 143*b**4/2 - 138*b**3 - 108*b**2 + 249*b. Factor h(j). -(j + 6)*(11*j + 6)**2 Let p be 1 + (0 - -3) - -44. Suppose 4*n - 4 - p = 0. Find l such that 1 - 9*l**2 + n*l - 1 - 19*l = 0. -2/3, 0 Suppose -29*j + 24 = -27*j. Suppose 4*f + 8 = x, x = -3*x - 4*f + j. Let -4*r + 7/2*r**x + 0 - 81*r**3 + 34*r**2 + 245/2*r**5 = 0. What is r? -1, 0, 2/7, 2/5 Let z be (36/(-14) + 2)/((-36)/126). Factor -3/7*i**z + 6/7 - 3/7*i. -3*(i - 1)*(i + 2)/7 Let c = 0 + 9. Suppose -4*g - v + c = 0, -4*v = 12 - 0. Determine r, given that -70*r**4 + r**g - 3*r**3 + 68*r**4 = 0. -1, 0 Let w(d) = d**2 - 9*d + 9. Let c(v) = v**2 - 8*v + 8. Let z(i) = 6*c(i) - 5*w(i). Let k be z(4). Factor -2*x**2 + 5 - 3*x**2 - k*x**2 - 3*x + 9*x**3 + 1. 3*(x - 1)**2
{ "pile_set_name": "DM Mathematics" }
5) to base 9 -3725280 What is -1c274 (base 14) in base 4? -101202132 -287683 (base 10) to base 9 -477557 Convert -1012230313 (base 4) to base 11. -188635 1031114545 (base 6) to base 8 51672141 What is -447867 (base 9) in base 11? -1735a6 Convert -644030 (base 9) to base 13. -105717 Convert 1074131 (base 12) to base 3. 12220102211201 -9e31c (base 16) to base 8 -2361434 Convert -200110100211 (base 3) to base 11. -228a5a What is -1403527 (base 9) in base 11? -486781 What is 2214200 (base 5) in base 11? 2706a What is 453a4 (base 13) in base 8? 365656 1372055 (base 8) to base 7 3213402 -100010111000110010011 (base 2) to base 7 -12500623 Convert -b21730 (base 12) to base 2. -1010100111000011010100 What is 431756 (base 10) in base 9? 727228 What is 262666 (base 9) in base 13? 5777a 243324150 (base 6) to base 9 8660743 Convert 88845 (base 11) to base 5. 13110133 What is -464130 (base 13) in base 12? -683a26 Convert 1011000010010011101 (base 2) to base 4. 1120102131 Convert 353741 (base 8) to base 9. 203633 -6c94a (base 15) to base 14 -9030d 200011022122 (base 3) to base 9 604278 What is 146028 (base 11) in base 8? 674457 bd8a (base 16) to base 10 48522 Convert -3aa7a0 (base 12) to base 4. -3231113220 Convert 5714272 (base 10) to base 8. 25630540 120323524 (base 7) to base 12 2601baa Convert 641363 (base 8) to base 3. 101212012120 What is 26d30 (base 15) in base 3? 20022202000 -104400040 (base 5) to base 10 -465645 -11011011222 (base 3) to base 4 -103331312 What is 21435277 (base 8) in base 4? 101203222333 What is -136120510 (base 7) in base 10? -8963185 -751658 (base 11) to base 13 -331560 Convert b6a6ea (base 15) to base 14. 12239d1 What is -77b (base 16) in base 3? -2121221 What is 11532555 (base 7) in base 12? 41a049 77827 (base 11) to base 9 181654 244111144 (base 5) to base 8 4331756 What is 3763419 (base 11) in base 16? 63b4ef What is 111011121111202 (base 3) in base 6? 410005032 -1123342441 (base 5) to base 2 -1001110000110010010001 Convert 10034136 (base 7) to base 13. 231a2c What is -39376 (base 10) in base 7? -222541 What is -1405341 (base 9) in base 12? -31260a Convert -3441404024 (base 5) to base 9. -15541761 -652615 (base 9) to base 6 -12201105 Convert 137774 (base 12) to base 13. b476c Convert 809532 (base 15) to base 8. 27226663 What is 79351a (base 11) in base 5? 310414440 10100101101010011 (base 2) to base 8 245523 What is -3342556 (base 7) in base 9? -700737 What is -20511051 (base 7) in base 10? -1733901 What is 11530213 (base 6) in base 13? cc207 Convert 1224420000 (base 5) to base 9. 5521707 460526 (base 8) to base 5 14442430 -203213223 (base 4) to base 5 -14132044 What is -221714a (base 11) in base 12? -1376951 -d9228 (base 14) to base 7 -4313151 Convert -3941 (base 16) to base 10. -14657 Convert -1124314401 (base 5) to base 12. -a41091 What is 2024414 (base 6) in base 2? 10111101010011010 What is -29114 (base 13) in base 9? -126655 What is 12909816 (base 10) in base 12? 43a6b60 What is -1426cb1 (base 13) in base 16? -616b49 c5c3 (base 13) to base 14 9d8c -21002110 (base 4) to base 2 -1001000010010100 Convert 1943189 (base 13) to base 9. 16534125 Convert -113300023033 (base 4) to base 14. -b8127d Convert -6220400 (base 7) to base 8. -2656072 2169407 (base 10) to base 16 211a3f 5937131 (base 10) to base 4 112221133223 Convert 2205272 (base 9) to base 16. 121454 Convert -4023715 (base 10) to base 6. -222124151 Convert -2333332123 (base 4) to base 13. -216bb0 11011100010001100 (base 2) to base 15 2363a Convert 5c80bb (base 15) to base 7. 52444655 -2717683 (base 10) to base 16 -2977f3 What is 321143214 (base 5) in base 16? 1498b1 -14226631 (base 7) to base 8 -5057221 1441311 (base 6) to base 2 10100010101001011 Convert 22131310011 (base 4) to base 12. b03859 What is -259188 (base 13) in base 6? -31223513 What is -142995 (base 11) in base 8? -664356 What is -2d2f57 (base 16) in base 13? -7c8b18 Convert -101100110111110001 (base 2) to base 7. -1363561 Convert -a3a9a (base 11) to base 14. -3d414 Convert 8714a (base 12) to base 3. 100001102111 Convert 27441a7 (base 13) to base 10. 12376007 What is 21200210201 (base 3) in base 7? 1200442 50532 (base 7) to base 9 17746 Convert -159a37 (base 13) to base 10. -535607 Convert -553322022 (base 6) to base 12. -3406312 Convert -11201313231 (base 4) to base 3. -2201122021110 Convert abb90b (base 14) to base 7. 100402114 Convert -220201122011000 (base 3) to base 12. -4498946 What is -252328 (base 9) in base 8? -452066 101201320 (base 4) to base 12 35674 Convert -1212122012002 (base 3) to base 5. -223343210 -10102110222220 (base 3) to base 2 -110111100011010010110 Convert -24444222 (base 6) to base 12. -319672 What is -34217 (base 8) in base 13? -678a Convert 110110010001111 (base 2) to base 7. 144011 What is -4560183 (base 9) in base 14? -4809a3 What is -3442553 (base 6) in base 5? -21130101 What is -277a9 (base 14) in base 5? -11110221 Convert 552265 (base 8) to base 3. 100102111022 -2771084 (base 9) to base 6 -52350421 Convert 9db56 (base 14) to base 15. 78a18 What is -675117 (base 10) in base 2? -10100100110100101101 Convert 16c84 (base 15) to base 10. 73699 3a70 (base 14) to base 10 10290 11033123211 (base 4) to base 13 391497 What is 167835 (base 11) in base 3? 111011120202 What is 1111429 (base 13) in base 11? 2a52066 1556854 (base 9) to base 3 1121220221211 What is -10552313 (base 6) in base 9? -545870 Convert -1396131 (base 12) to base 7. -45254500 Convert c426a (base 15) to base 12. 25b83a What is 80034 (base 16) in base 12? 213530 5a018c (base 15) to base 16 41aa7a What is -17254155 (base 8) in base 9? -7506766 -47c84 (base 14) to base 10 -175340 Convert 23a28a (base 11) to base 7. 3140632 What is 19570 (base 12) in base 6? 443420 3a70c (base 16) to base 2 111010011100001100 What is -11101112220 (base 3) in base 8? -250630 What is b8082a (base 12) in base 16? 2c50a2 Convert 121011320 (base 4) to base 10. 102776 What is -73d53 (base 15) in base 12? -158813 246788 (base 11) to base 14 a1da3 What is 1202202122112 (base 3) in base 9? 1682575 -46664 (base 8) to base 11 -13a44 What is -18471a1 (base 12) in base 6? -300413121 What is -11404411 (base 8) in base 16? -260909 Convert -16dbb (base 14) to base 2. -1110000011111001 Convert 1bb95b (base 12) to base 9. 837148 What is -23203012233 (base 4) in base 9? -5623700 Convert -60226e (base 15) to base 10. -4563554 Convert 6132321 (base 7) to base 2. 10110010011010000000 What is -366a590 (base 11) in base 8? -30262401 Convert 185d0 (base 15) to base 8. 232141 What is -22b3632 (base 12) in base 13? -1509470 5051433 (base 6) to base 14 6372d Convert -225dc (base 14) to base 8. -243046 What is -55c2a (base 16) in base 12? -14b34a Convert -327651 (base 8) to base 6. -2211333 What is 1020826 (base 9) in base 11? 342709 -1311131012 (base 4) to base 3 -220102221022 What is 1700813 (base 9) in base 13? 271446 -3104a (base 15) to base 5 -14432240 What is 712257 (base 12) in base 14? 33da15 1c0134 (base 14) to base 6 33225134 -14244341 (base 5) to base 3 -21121201111 Convert -d63d8b (base 14) to base 5. -3322424421 What is -14000432 (base 6) in base 13? -13458b Convert 10845 (base 14) to base 3. 2000221011 Convert 30131234 (base 6) to base 8. 3177506 Convert 14bbaf (base 16) to base 2. 101001011101110101111 Convert 101100010110110100 (base 2) to base 4. 230112310 What is -242140030 (base 5) in base 10? -1130640 What is -2220110011 (base 3) in base 5? -3312230 What is 76182d (base 14) in base 15? 540112 13210232 (base 4) to base 10 31022 What is f6d5e3 (base 16) in base 7? 254333063 2640ba (base 16) to base 5 1120210223 Convert 47940c (base 14) to base 11. 1420544 -cc827 (base 13) to base 15 -74b8b What is 7856631 (base 10) in base 5? 4002403011 What is 254459 (base 10) in base 11? 1641a7 10100001100101101111 (base 2) to base 4 2201211233 Convert 355578 (base 9) to base 11. 136922 51544234 (base 6) to base 13 402a7b 14047363 (base 8) to base 14 5c5aa7 What is 325445552 (base 6) in base 12? 1b708b8 What is 2201010112110 (base 3) in base 16? 15f6cc What is 22330211220 (base 4) in base 2? 1010111100100101101000 Convert 103b4 (base 12) to base 3. 1002020001 What is 771173 (base 8) in base 15? 519a8 What is -22344432 (base 6) in base 7? -5542310 -2230210132 (
{ "pile_set_name": "DM Mathematics" }
+ 1940. What are the prime factors of o? 2, 5 Let j = 4632 - -51456. What are the prime factors of j? 2, 3, 19, 41 Suppose 5*b + 160 = -3*s, -3*b + 98 = -2*s - 2*b. Let z = 172 - s. What are the prime factors of z? 2, 3, 37 Let j be (-37020)/(-15)*(-2)/(-8). Suppose 0 = 3*n - j + 173. List the prime factors of n. 2, 37 Suppose 2*a - 314 = s - 3954, -7320 = -2*s - 4*a. What are the prime factors of s? 2, 5, 73 Let z(f) be the second derivative of -51*f**3 + 5*f**2/2 - 7*f - 9. What are the prime factors of z(-3)? 13, 71 Let l(h) = 49*h**3 - 6*h**2 - 2*h - 6. Let r be l(3). Suppose 1252 = 2*o + o - 2*g, 3*o - r = -3*g. List the prime factors of o. 2, 11, 19 Let w be (-25)/2 - 10/20. Let l(c) = -c**2 - 13*c. Let n be l(w). Suppose -2*k + n*k = -8, -5*u + k + 256 = 0. List the prime factors of u. 2, 13 Let i(d) = 11*d**3 + 10*d**2 + 34*d + 10. Let m(f) = 10*f**3 + 10*f**2 + 36*f + 11. Let t(g) = -7*i(g) + 6*m(g). List the prime factors of t(-3). 431 Let o(w) = w**3 - 6*w**2 + 41*w - 138. List the prime factors of o(12). 2, 3, 7, 29 Let b = 116 + -137. Let o(s) = s + 25. What are the prime factors of o(b)? 2 Suppose -2*z = z - 4*q - 112, -3*z - 3*q = -84. Let d = z + -20. Let l(j) = 2*j**2 - 15*j + 10. What are the prime factors of l(d)? 2, 59 Let g = -56 - -65. Suppose 5*n - n = 4*v + 364, 0 = -3*v - g. Let u = n - 53. What are the prime factors of u? 5, 7 Let l be 228/(-95)*5/(-3). Suppose 374 = -l*c + 3*k + 1180, -2*k - 4 = 0. List the prime factors of c. 2, 5 Let f(v) = -6*v + 68. Let w be f(11). Suppose w*j = 3*c + 590, -2*j + 0*c = 3*c - 578. List the prime factors of j. 2, 73 Let c(a) = 3*a**2 + 17*a + 28. What are the prime factors of c(-8)? 2, 3, 7 Let s(o) = -4*o**2 + 4*o - 13. Let n be s(4). Let j = n + 57. Let v(d) = -19*d - 14. List the prime factors of v(j). 2, 31 Let h = -13239 + 14224. List the prime factors of h. 5, 197 List the prime factors of (-2 + -4)*(-424760)/74. 2, 3, 5, 7, 41 Let b be (2/(-6))/((4/3)/(-4)). List the prime factors of (515 + b)*3/6. 2, 3, 43 Let f = -140 - -206. Suppose b - 2*g - f = 0, -374 = -5*b - 2*g - 32. List the prime factors of b. 2, 17 Let r(v) = 8*v + 38. Let j be r(-4). Suppose j*o - 36 = -6. List the prime factors of o. 5 Let r be ((-1672)/(-6))/((-13)/((-195)/10)). Let u = -348 + r. What are the prime factors of u? 2, 5, 7 Suppose 0 = -2*m - w + 557, -m + 4*m - 834 = -2*w. Let u = m + -41. List the prime factors of u. 239 Let p be (-9260)/(-10)*(-4)/(-8). Let m = 627 - p. What are the prime factors of m? 2, 41 Let o(t) = -4 + 2*t**2 - t**2 - 8*t - 1. Let d be o(7). List the prime factors of 2 + d*10/(-4). 2 Let v(w) = 2*w**2 + 9*w + 49. Let g(i) = i**2. Let o(r) = 3*g(r) - v(r). List the prime factors of o(27). 19, 23 Suppose 897 = 7*a - 4059. Let f = a + -461. What are the prime factors of f? 13, 19 Let d(m) = 1486*m**2 - 76*m - 202. What are the prime factors of d(-3)? 2, 5, 67 Suppose -2*l - 96 = 4*u, 5*l - 44 = u - 9. Let t = 21 + u. List the prime factors of 5 - (1 - (2 + t)). 2 What are the prime factors of (33285741/(-1467))/((-2)/6)? 43, 1583 Let s(j) = 51*j + 1133. List the prime factors of s(133). 2, 1979 Let h be (7 + 2)/(-27 + 28)*1. Let y(f) = -5 - f**2 - 17*f + 1 + 4*f**2. What are the prime factors of y(h)? 2, 43 Suppose 0 = -16*n - 4 - 28. List the prime factors of ((-16)/7 - n) + 2778/21. 2, 3, 11 Let j be (-32)/(-4)*4/8. Let c(k) = -64*k - 8. Let x be c(j). List the prime factors of (-5 - 0) + x/(-3). 83 Let a be 84 - 2/(-3)*-6. Suppose 2*f + 4*r + 98 + 14 = 0, 0 = -f + 4*r - a. What are the prime factors of (-1)/8 + (-5512)/f? 2, 43 Let t(v) = v**2 - 26*v - 199. Let x be t(-6). Let u(b) = 0*b - 7*b + 10 - 20 - 20. List the prime factors of u(x). 19 Suppose 4 + 0 = 2*t. Suppose 0 = 6*q - t*q + v - 855, 2*v = -4*q + 850. List the prime factors of q. 5, 43 Let f = -74 - -76. Suppose f*q = 572 + 104. List the prime factors of q. 2, 13 Let h(z) = -z**3 - 6*z**2 - 6*z - 1. Let r be h(-5). Suppose 8*f - r*f = 0. Suppose 3*y - 307 = o - 0*o, y + 5*o - 129 = f. What are the prime factors of y? 2, 13 Let n = 180 - 190. What are the prime factors of (20/(-6))/(n/(-15)) - -1058? 3, 13 Let z = 326 + -306. Suppose -z = 5*y, 8*l - 9*l + y = -1378. What are the prime factors of l? 2, 3, 229 Let q be 0/(((-12)/3)/2). Suppose o + 4*o - 4*c = 2107, q = 5*o + 3*c - 2121. What are the prime factors of o? 3, 47 Suppose -5*k + 122 = 92. What are the prime factors of -27*(k/33 - 8936/264)? 3, 101 What are the prime factors of -2882*9/90*-5? 11, 131 Let p = 168 - -4704. What are the prime factors of p? 2, 3, 7, 29 Suppose 0 = -w + 3*v + 13595, 44*v + 13546 = w + 48*v. What are the prime factors of w? 2, 11, 617 Suppose 7*u = -170 + 527. Suppose -u - 1404 = -5*p. What are the prime factors of p? 3, 97 Let v(x) = 14*x. Let u be v(0). Suppose -5*q + 809 = y, u = 4*q + q + 4*y - 806. What are the prime factors of q? 2, 3 Let w = -4 + -62. Let v = 153 + w. Suppose -3*c + v = 3*f, -c + 5 = -f + 36. What are the prime factors of f? 2, 3, 5 Let b(x) = 11*x + 1. Let y(q) = 1. Let u(i) = b(i) + 3*y(i). Let n be u(6). Suppose r - n = -3*v, -2*r + 5*r - 202 = -5*v. List the prime factors of r. 2 Let y = -1594 - -42361. List the prime factors of y. 3, 107, 127 Suppose 2*u + 10*u = 2*u. List the prime factors of -1 - (u - 20) - (-292)/(-73). 3, 5 Let x(b) = b**3 + 2*b**2 - 4. Let y be x(0). List the prime factors of 506 - (-6 + -2 - y)/1. 2, 3, 5, 17 Let h = -46 - -54. Suppose 0 = -6*v - h*v + 2828. Let s = 42 + v. List the prime factors of s. 2, 61 Suppose -3*c = 9, s + 7*c = 10*c + 1172. Let h = s + 16. List the prime factors of h. 3, 131 Let z(x) = 1. Let n(t) = t + 73. Let w(c) = -c - 36. Let a(y) = -6*n(y) - 11*w(y). Let p(h) = -a(h) - 4*z(h). List the prime factors of p(0). 2, 19 Let a(b) = -54 - 92 - 35*b - 20*b + 7*b. List the prime factors of a(-27). 2, 5, 23 Let v = 15515 + -6055. What are the prime factors of v? 2, 5, 11, 43 Let u(y) = 20*y**2 + 5*y + 5. Suppose j - 6*i = -5*i - 4, 4*i = -j - 24. List the prime factors of u(j). 3, 5, 83 Suppose 6406 - 20750 = -2*n. List the prime factors of n. 2, 11, 163 Suppose -24 = -5*b - 4. Let f be (42/245*7)/(4/10). Suppose f*c - 149 - 166 = -b*w, 5*c + w - 542 = 0. List the prime factors of c. 109 Suppose 88575 = 6*c + 3*h, 4*h = 284*c - 285*c + 14738. What are the prime factors of c? 2, 3, 23, 107 Suppose 91 = 4*q - k - 527, 2*k = 2*q - 306. Let o = q - 45. Let z = o + -44. What are the prime factors of z? 2, 3, 11 Suppose -11*i + 4*i + 35 = 0. Suppose i*r - 119 = -24. Suppose r = 2*k - 231. What are the prime factors of k? 5 Let s(m) be the first derivative of -9*m**2/2 - 10*m + 15. Let d be s(-10). Let x = d + 36. What are the prime factors of x? 2, 29 Let y(h) = -141*h - 66. Let w(u) = 281*u + 133. Let d(s) = 3*w(s) + 5*y(s). List the prime factors of d(2). 3, 5, 23 List the prime factors of -4 + 103696/18 + (-2)/(-18). 3, 19, 101 Suppose 0 = 3*r - 9 - 24. Suppose 4*u + y - r = 2, 2*u - 4*y = 20. What are the prime factors of ((-86)/u)/(2/(-4))? 43 Let h be 9/(-4 + 7) - -39. Let u = h + -37. Suppose -u*m - 177 = -797. List the prime factors of m. 2, 31 Let c(k) = 4*k**2 - 13*k + 148. Let a be c(9). Suppose x = 4*h + 152 + a, -5*x + 2*h = -2535. List the prime factors of x. 3, 13 Suppose 0*z - 297 = -11*z. Let l = z + 27. What are the prime factors of l? 2, 3 Suppose -5*q - 8*x = -4*x - 1960, 5*q + 5*x - 1965 = 0. Let s = -193 + q. What are the prime factors of s? 3, 5, 13 Let v = -253 + 250. What are the prime factors of (13 + -12)/(((-3)/535)/v)? 5, 107 Let f(l) = 32880*l**2 - 24*l - 23. List the prime factors of f(-1). 131, 251 Let q(p) = 100*p**2 + 24*p + 10. What are the prime factors of q(8)? 2, 3301 Let g(k) = k**2 + k - 1. Let m = 21 + -19. Let l be g(m). Suppose 5*t = -3*a + 175, -37 = l*a - 2*t - 339. List the prime factors of a. 2, 3, 5 List the prime factors of 3829/(-10*(-49)/420). 2, 3, 547 Suppose 5*u + 549 = k - 145, 3392 = 5*k + u. Let z = k + -279. List the prime factors of z. 2, 5 Suppose -4*t + h - 67 = 6*h, -3*t = 2*h + 45. Let m(b) = -10*b + 39. List the prime factors of m(t). 13 Let d be ((-448)/(-96))/(0 - (-1)/(-3)). Let q be d/91 + (-1660)/26. Let b = q - -81. What are the prime factors of b? 17 Suppose -r + 4*r - 96 = 0. Let c = -
{ "pile_set_name": "DM Mathematics" }
**2 + 2. Give p(1). -10 Let w(r) = 2*r**2 - 30*r - 14. Calculate w(15). -14 Let f(y) = y + 16. Calculate f(0). 16 Let y(k) = 35*k**2 - k. Determine y(-1). 36 Let w(f) = 3*f + 33. Calculate w(8). 57 Let k(c) = -5*c - 48. What is k(-12)? 12 Let i(l) = 6*l + 2. Calculate i(-4). -22 Let o(z) = 138*z - 556. Calculate o(4). -4 Let y(j) = 5*j - 22. Calculate y(2). -12 Let o(y) = -y**3 - y**2 - 2*y - 52. What is o(0)? -52 Let y(u) = u**2 + 12*u + 33. Determine y(-11). 22 Let g(w) = -w**2 + 13*w - 24. Calculate g(7). 18 Let s(z) = -z**2 + 11*z + 8. Give s(12). -4 Let z(n) = 13*n - 39. What is z(3)? 0 Let g(a) = 4*a**2 + 9*a + 13. Give g(0). 13 Let r(l) = -l**2 + 6*l + 12. Give r(9). -15 Let n(o) = 35*o - 1. Determine n(-1). -36 Let u(w) = -w**2 + 8*w - 5. What is u(10)? -25 Let p(d) = d**2 - 20*d - 54. Determine p(23). 15 Let m(b) = b + 35. What is m(-10)? 25 Let x(b) = -b**2 + 13*b - 30. What is x(9)? 6 Let f(v) = 13*v - 47. Determine f(6). 31 Let d(m) = m**2 + 14*m + 5. Calculate d(0). 5 Let c(v) = 8*v - 1. Calculate c(-1). -9 Let p(r) = -2*r**3 - 10*r**2 - 3*r + 5. Determine p(-7). 222 Let t(l) = -l**3 + 8*l**2 - 12*l - 4. Give t(6). -4 Let s(o) = 20*o + 6. Calculate s(-5). -94 Let u(f) = -44*f**2 - f. Determine u(-1). -43 Let w(s) = -s**2 + 10*s - 6. What is w(9)? 3 Let l(s) = s**3 + 4*s**2 - 4*s + 5. What is l(-4)? 21 Let p(t) = 3*t + 42. Determine p(-15). -3 Let m(p) = -p**2 - 10*p - 15. Calculate m(-9). -6 Let l(n) = -n**2 + 34*n - 254. What is l(23)? -1 Let h(t) = 32*t - 90. Give h(3). 6 Let f(j) = -122*j + 490. Calculate f(4). 2 Let u(l) = l**3 - 25*l**2 + 26*l - 53. What is u(24)? -5 Let f(p) = -20*p + 86. Give f(4). 6 Let m(a) = 5*a**3 + a**2 + 2*a + 1. Calculate m(-1). -5 Let s(d) = -20*d + 5. What is s(-3)? 65 Let f(d) = 4*d**3 + d**2 - 3*d - 5. Calculate f(-2). -27 Let j(m) = m**3 + 27*m**2 - 43. What is j(-27)? -43 Let z(v) = v**3 + 4*v**2 + v + 4. Calculate z(-4). 0 Let g(f) = f**2 + 5*f - 2. What is g(3)? 22 Let q(x) = -2*x + 7. What is q(-7)? 21 Let t(v) = -v - 5. Determine t(0). -5 Let q(a) = -a**3 + 11*a**2 + 14*a - 19. Calculate q(12). 5 Let b(l) = -l**2 - 11*l + 11. Give b(-13). -15 Let m(c) = -8*c**2 - 4*c + 4. Determine m(2). -36 Let x(s) = 2*s**3 + 3*s**2 - 2*s - 1. What is x(2)? 23 Let s(y) = -y + 4. Calculate s(4). 0 Let m(i) = -i**2 + 4*i - 11. Calculate m(7). -32 Let d(l) = 17*l - 26. Determine d(2). 8 Let n(h) = -h**2 - 2*h + 14. Determine n(-5). -1 Let i(f) = -13*f**2 + 133*f - 23. Calculate i(10). 7 Let y(s) = -3*s + 3. Calculate y(-5). 18 Let z(u) = u**2 + 5*u - 24. What is z(-11)? 42 Let v(z) = z**3 - 19*z**2 - z + 27. What is v(19)? 8 Let k(d) = 2*d**3 - 4*d**2 + 6*d - 7. Give k(2). 5 Let j(t) = t**3 - 10*t**2 + 13*t - 3. Calculate j(9). 33 Let p(c) = -4*c - 16. Determine p(-3). -4 Let c(x) = -x + 17. What is c(3)? 14 Let y(t) = 18*t + 2. Give y(-2). -34 Let w(g) = g**2 + 11*g - 13. Give w(-12). -1 Let q(r) = -4*r**3 - r**2 - 2*r. Calculate q(-1). 5 Let a(t) = -10*t + 92. Determine a(9). 2 Let o(j) = -21*j - 106. What is o(-5)? -1 Let t(l) = -4*l - 20. Give t(-5). 0 Let f(g) = g**2 - 4*g - 13. What is f(0)? -13 Let h(s) = -s**3 + 10*s**2 + 2*s - 2. Determine h(10). 18 Let p(t) = -2*t + 7. Determine p(3). 1 Let d(c) = 16*c**2 - 128*c - 12. What is d(8)? -12 Let f(x) = x**2 - 7*x - 13. What is f(9)? 5 Let q(k) = k**2 + 9*k - 21. Calculate q(-10). -11 Let p(n) = -n**3 + 11*n**2 - 13*n + 6. Calculate p(9). 51 Let n(o) = -o**2 + 2*o - 3. What is n(3)? -6 Let v(m) = 2*m**3 + 3*m**2 - 2*m + 1. Give v(-2). 1 Let g(p) = -p**3 - 4*p**2 - 3*p - 1. Give g(-2). -3 Let y(g) = -63*g**2 + 2*g. Calculate y(-1). -65 Let d(k) = 2*k**2 - 5*k. Give d(-2). 18 Let y(x) = -5*x - 7. Give y(-8). 33 Let f(n) = n**2 + 10*n + 4. Give f(-7). -17 Let l(p) = 38*p + 152. What is l(-4)? 0 Let c(a) = a**3 - 4*a**2 - 2*a - 10. Determine c(5). 5 Let n(b) = -b - 9. Give n(5). -14 Let y(z) = 2*z**2 + 15*z + 1. What is y(-10)? 51 Let b(x) = x**2 - 7*x - 7. Determine b(10). 23 Let c(r) = 5*r**2 + 9*r + 4. Give c(-4). 48 Let w(q) = -q**3 + 11*q**2 + 26*q + 1. Calculate w(13). 1 Let z(d) = -d**2 + 10*d - 9. Determine z(11). -20 Let n(o) = -o**3 + 3*o**2 + 8*o - 11. What is n(4)? 5 Let n(d) = d**2 + 14*d - 13. What is n(-15)? 2 Let b(j) = -j**2 - 4*j - 6. Determine b(-5). -11 Let g(u) = -6*u + 53. Calculate g(8). 5 Let a(n) = -101*n + 397. Give a(4). -7 Let k(p) = -p**3 - 10*p**2 - 16*p + 6. Determine k(-3). -9 Let f(b) = -b**3 - 6*b**2 + 25*b + 94. Calculate f(-3). -8 Let v(b) = b - 24. Give v(9). -15 Let v(a) = -5*a - 5. Give v(-9). 40 Let c(i) = -51*i - 143. Calculate c(-3). 10 Let a(b) = -b**2 + 17*b + 40. Determine a(19). 2 Let u(j) = -j**2 + 8*j + 10. Calculate u(10). -10 Let m(l) = -2*l**2 + 7*l + 1. Calculate m(4). -3 Let f(p) = -p**2 - 3*p + 5. Give f(-4). 1 Let r(c) = 11*c - 29. Give r(3). 4 Let z(y) = -y**2 - 12*y + 56. Determine z(-14). 28 Let f(j) = j**3 - 4*j**2 + 4*j - 7. Determine f(3). -4 Let f(n) = 14*n - 65. Calculate f(5). 5 Let j(p) = -p**2 - 2*p + 1. What is j(-6)? -23 Let v(k) = -k**2 - 6*k + 22. Calculate v(-11). -33 Let r(c) = -4*c**2 + 3. Calculate r(-2). -13 Let z(d) = -d**3 - 17*d**2 - 56*d + 50. Determine z(-12). 2 Let z(d) = -d**2 + 12*d + 31. Determine z(14). 3 Let w(a) = a + 13. Determine w(-6). 7 Let f(j) = j**3 - 6*j**2 + 5*j - 8. Calculate f(5). -8 Let r(c) = c**3 + 3*c**2 + 5*c + 4. Calculate r(-3). -11 Let s(h) = -11*h**3 + 3*h**2 + 2*h. Determine s(-1). 12 Let i(h) = h**2 + 4*h + 14. Give i(-4). 14 Let w(u) = -19*u + 1. Calculate w(4). -75 Let i(g) = g**3 + g**2 - g - 4. What is i(2)? 6 Let l(p) = p**3 - 15*p**2 + 11*p + 24. Give l(14). -18 Let i(t) = -t**2 + 6*t - 9. What is i(4)? -1 Let l(j) = -j**3 + 10*j**2 - 15*j + 77. Give l(9). 23 Let z(g) = -3*g + 2. Give z(13). -37 Let i(x) = -3*x**2 - 9*x - 10. What is i(-7)? -94 Let q(n) = -78*n - 621. Give q(-8). 3 Let l(u) = u**3 - 9*u**2 - 9*u - 15. What is l(10)? -5 Let i(q) = q**2 + 16*q + 42. Give i(-5). -13 Let l(y) = -2*y**3 - 9*y**2 + 7*y + 11. Give l(-5). 1 Let m(u) = -u**3 - 12*u**2 - 32*u - 6. Give m(-7). -27 Let x(k) = -k**3 + 10*k**2 - 17*k - 1. Calculate x(8). -9 Let s(l) = l**2 - 20*l + 11. Determine s(9). -88 Let h(n) = n**3 - 5*n**2 - 8*n + 14. Give h(5). -26 Let p(j) = 4*j + 14. Calculate p(-3). 2 Let i(t) = -7*t + 14. Give i(-5). 49 Let b(m) = 2*m**3 + 3*m**2 - 3*m - 2. Determine b(-4). -70 Let g(f) = f**2 + 61*f - 557. What is g(8)? -5 Let y(r) = -r**3 - 5*r**2 + 15*r + 2. What is y(-8)? 74 Let f(y) = y**3 - 17*y**2 + 2*y - 42. Give f(17). -8 Let b(y) = 7*y - 1. Give b(1). 6 Let k(l) = 3*l**2 - 44*l - 20. What is k(15)? -5 Let o(q) = -q**3 + q**2 + q - 19. Calculate o(0). -19 Let j(n) = -3*n**3 - 3*n**2 + 2*n + 1. Give j(1). -3 Let x(t) = -t**2 + 37. Give x(6). 1 Let l(v) = 10*v - 16. Calculate l(-4). -56 Let i(n) = 37*n - 6. Give i(-3). -117 Let w(n) = -n**2 + 6*n - 16. What is w(6)? -16 Let v(g) = g**3 - 7*g**2 + 5*g + 10. Determine v(5). -15 Let c(q) = q**2 - 11*q + 1. Give c(8). -23 Let y(c) = -3*c**2 - 141*c + 141. Give y(-48). -3 Let c(f) = -f**3 - f**2 - f + 11. Determine c(0). 11 Let o(n) = n**3 + 8*n**2 + n + 17. Determine o(-8). 9 Let m(o) = 5*o + 8. Calculate m(17). 93 Let x(l) = -24*l + 219. Determine x(9). 3 Let j(c) = -c**3 - 6*c**2 + c + 8. Determine j(-5). -22 Let z(x) = x**2 + 40*x - 828. What is z(15)? -3 Let c(u) = 4*u + 87. Calculate c(-18). 15 Let l(b) = -b**2 - 2*b + 3. Calculate l(0). 3 Let f(u) = -3*u - 26. Determine f(-8). -2 Let r(m) = m**3 - 8*m**2 - 3*m + 14. Determine r(5). -76 Let k(u) = 4*u**2 - u + 5. Calculate k(4). 65 Let o(d) = d + 9. What is o(-10)? -1 Let f(u) = 16*u**3 + u**2 + u - 1. What is f(1)? 17 Let i(m) = 6*m + 1. Determine i(2). 13 Let a(i) = -i**2 + 13*i + 8. Give a(11). 30 Let j(d) = -d + 6. Give j(-6). 12 Let y(u) = -8*u + 8. Determine y(13). -96 Let u(d) = d**2 - 4*d - 75. What is u(-7)? 2 Let b(r) = -15*r + 36. What is b(3)? -9 Let z(p) = -3*p - 14. Calculate z(-13). 25 Let g(w) = -2*w + 47. Give g(11). 25 Let g(s) = 5*s**2 - 64*s - 13. Give g(13). 0 Let q(k) = -k**2 - 4. Give q(-3). -13 Let y(h) = -20*h + 51. Determine y(4). -29 Let f(p) = 6*p**2 - 38*p - 1. Determine f(6). -13 Let g(r) = -3*r**3 + 56*r**2 + 21*r - 41. Determine g(19). -3 Let w(l) = -l**2 + 7*l + 1. Determine w(9). -17 Let g(y) = y**2 +
{ "pile_set_name": "DM Mathematics" }
4. What is the remainder when g(3) is divided by (-2)/(-3) - m/(-84)? 10 Suppose 8*l - 6784 - 11411 = 581. What is the remainder when l is divided by 27? 25 Suppose 16 = -6*p + 160. Suppose 2*g + p = 6*g. What is the remainder when 8 is divided by ((-3)/g)/(1*(-2)/20)? 3 Suppose -10650 = -3*r + 14*r - 34333. What is the remainder when r is divided by 22? 19 Suppose 0 = -2*y + 12. Suppose -y*m + 12*m = 78. Let v(h) = h**3 - 13*h**2 + 21. What is the remainder when 37 is divided by v(m)? 16 Suppose -2*j + 3*q + 116 = 2*j, -82 = -3*j + q. Calculate the remainder when (0 + -10)*440/(-44) is divided by j. 22 Let i = -2528 - -2670. What is the remainder when i is divided by -2*(-11)/((-44)/(-72))? 34 Let z = -437 - -713. Let b = -257 + z. Suppose 4*h = -2*o + 2*h + 108, 0 = 4*o - h - 226. Calculate the remainder when o is divided by b. 18 Suppose -5*o + 195 = 70. Suppose o*a + 533 = 38*a. What is the remainder when a is divided by 28? 13 Suppose -40*r - 863 + 3223 = 0. Calculate the remainder when 1179 is divided by r. 58 Suppose 0 = -4*x - 38*j + 902, 36*x + 306 = 37*x - 2*j. What is the remainder when 513 is divided by x? 221 Suppose 0 = 4*q - 4*v - 908, 151*q + 3*v = 148*q + 663. Calculate the remainder when q is divided by 47. 36 Let a(m) = m**3 - 6*m**2 + 13*m + 9. Let z be a(7). Suppose 0 = 11*w - z - 291. What is the remainder when 76 is divided by w? 36 Let v = 7442 - 7324. Calculate the remainder when 1158 is divided by v. 96 Suppose 0 = 2*j - 5*t - 491, -410 = 5*j + 2*t - 1623. Let u = j + -197. What is the remainder when u is divided by 30? 16 Let w(g) = -27*g - 712. Calculate the remainder when 305 is divided by w(-27). 16 Suppose 28 = 7*p - 112. Calculate the remainder when (-215)/p*-4 + 0 is divided by 24. 19 Suppose -4*d - 4 = 3*r, 10*d + 79 = -18*d - 33. What is the remainder when (-98)/(-5) - 4/(-10) is divided by r? 0 Let i = 27 + 3. Let s(g) = 183*g - 229. What is the remainder when s(6) is divided by i? 29 Let r = 5184 - 5181. Calculate the remainder when 1218 is divided by r. 0 Let c(f) = -2*f**3 + 89*f**2 - 125*f - 124. What is the remainder when 5466 is divided by c(43)? 42 Suppose 2*h - 112 + 106 = 0. Suppose 0 = 5*p + h*p - 496. What is the remainder when p is divided by 13? 10 Suppose -4 = 3*v + 2, 4*d - 4*v = 72. Suppose -5*r + 9*r = 1720. Calculate the remainder when r is divided by d. 14 Let l(p) = 0 - 8*p**3 - 16*p**2 + 10*p**3 + 7*p - 2 + 3. Calculate the remainder when l(9) is divided by 46. 42 Let i(g) = -g**3 + 7*g**2 - g - 2. Suppose 5*a = 2*f - 658, -4*a - 5*f + 0*f - 500 = 0. Let z = a + 181. Calculate the remainder when z is divided by i(6). 23 Suppose -28 - 24 = -k. Suppose -3*b = -6, 5*a + 91*b = 93*b + 41. Calculate the remainder when k is divided by a. 7 Let y = 270046 - 270027. Suppose 174 = x - 4*b, -4*b + 0*b = x - 166. Suppose x = 3*o + 2*o. Calculate the remainder when o is divided by y. 15 Suppose -8*q = 32*q - 20680. Suppose 759 = 29*l - q. Suppose 0 = 2*t + t + 4*d - 503, -3*t - d = -515. What is the remainder when t is divided by l? 41 Let f = 124917 - 124536. What is the remainder when f is divided by 1/(-2) + (-111)/(-2)? 51 Suppose -k = 10*k - 176. Suppose -8 + 11 = m. Suppose m*z = -z - k, -2*l - 3*z + 8 = 0. Calculate the remainder when l is divided by 6. 4 Let z(y) = -2*y + 203. Suppose h = -0*h. What is the remainder when z(h) is divided by 52? 47 Suppose -25*t - 883*t = -58112. Calculate the remainder when t is divided by -2*2/4*-41. 23 Let f = -78 - -31. Suppose 0*m + 13 = m + 3*x, 4*m = 3*x + 67. Let a = m - f. What is the remainder when a is divided by 22? 19 Let o = 3846 + -3258. What is the remainder when o is divided by 59? 57 Let c = -24 - -9. Let f(q) = -4*q + 5. What is the remainder when f(-24) is divided by 13/(c/6 + 3)? 23 Suppose 28*b - 1771 = -7*b + 1589. Calculate the remainder when 11998 is divided by b. 94 Let j = 539 + -537. Suppose 2*t - f = 26, 2*t - j = -3*f + 16. Calculate the remainder when 62 is divided by t. 2 Let l(p) = p**2 + 4*p + 11. Let u be l(-2). Suppose 5*w = -u*w + 5592. Calculate the remainder when w is divided by 78. 76 Let l(o) = 19*o**2 + 7*o - 1. Suppose -5*x - 4*d + 3 = 0, 5*x + d = -d - 1. Calculate the remainder when 27 is divided by l(x). 5 Suppose 4*p = 3*p + 17. What is the remainder when p is divided by 1316/98 + (-40)/(-12)*36/210? 3 Let i be (-30)/(-195) - (-74)/26. Calculate the remainder when (-11)/(-22)*(119 + i) is divided by 16. 13 Suppose -62*c + 56*c + 570 = 0. Let d = -78 + c. Calculate the remainder when 50 is divided by d. 16 Let o = -1917 - -2043. Calculate the remainder when o is divided by 9. 0 Let b(c) = -c**2 + 11*c + 17. Let w be b(11). Suppose -4*d + w = -83. Calculate the remainder when 170/d*(-10)/(-4) is divided by 4. 1 Let w be (8 - -3)/(4/124*-1). Let y = 492 + w. What is the remainder when y is divided by 53? 45 Let v(w) = 7*w**2 - 5*w + 5. Let h be v(2). Let m(z) = z**2 - 22*z - 7. Calculate the remainder when 46 is divided by m(h). 14 Let w = -105 + 141. Suppose l + 10*d = 12*d + w, 0 = -5*l - 2*d + 168. What is the remainder when (202/6)/(6/18) is divided by l? 33 Let u be 4/(-3) - (-16)/3. Suppose -2*x + p + 10 + 15 = 0, 4*x = -u*p + 20. Calculate the remainder when 25 is divided by 6*x/6 + 3. 12 Suppose -2*h + 425 = 2*o + 419, 3*h = 5*o - 23. Calculate the remainder when 104 is divided by o. 0 Let g = -66 - -63. Let j = g + 5. Let n = 6 + j. Calculate the remainder when 30 is divided by n. 6 Let z = -14422 + 14569. Calculate the remainder when 881 is divided by z. 146 Suppose 3*p + 4*x + 41 = 0, -3*p + 3*x - 30 + 24 = 0. Let z(s) = s + 51. Calculate the remainder when 124 is divided by z(p). 36 Let j = 35 + -25. Let x = j - 16. What is the remainder when 20 is divided by 14*(-1 + (-9)/x)? 6 Let r be (2/(-5))/(10/(-100)). Let d be 22/(-88) - (-209)/r. Let q = d + -26. Calculate the remainder when q is divided by 9. 8 Suppose -2 = -c + 3*v, v - 47 = -2*c - 2*c. Suppose 2*i - 3*h - 5 = 41, 2*i - 4*h - 50 = 0. What is the remainder when i is divided by c? 6 Suppose -27*l = -26*l + 32. Let j = l - -34. Suppose 2*d - 241 = -f - 6, j = d. Calculate the remainder when f is divided by 39. 36 Calculate the remainder when -184*(-1 - -8 - 590/8) is divided by 71. 70 What is the remainder when 300 is divided by ((-182)/26 - -8)*(38 - 0)? 34 Let o = 979 + -531. What is the remainder when o is divided by 45? 43 Suppose 2*h = r - 212, 410 = 3*r - r + 3*h. What is the remainder when r is divided by ((-26)/65 + (-28)/(-20))/((-10)/(-110))? 10 Let s = 947 - 917. Let a(v) = 4*v - 84. Calculate the remainder when a(s) is divided by ((-1)/1 + 2)*19. 17 Let b = -137 - -172. Let k = -1214 + 1787. Suppose 5*l - 1443 = -k. Calculate the remainder when l is divided by b. 34 Suppose -6*j + 57 = 33. Suppose j*f = 5*o + 134, -4*o - 46 - 24 = -2*f. Suppose s = 1 + 4. What is the remainder when f is divided by s? 1 Let i be 18/81 + 33/(-27). Calculate the remainder when 50 is divided by i*(-19)/(-2)*(-96)/48. 12 Let f be 2/(-1) + 26 + 4. Let z = f - 25. Suppose 2*n = -5*h + 60, -z*h + 92 = 5*n - 5*h. What is the remainder when 59 is divided by n? 19 Suppose 5*p = -25, 3*w - 2*p - 157 = -0*w. Let s be -29 + (-2 + 6 - 2). Let r = s + w. What is the remainder when 41 is divided by r? 19 Let g(m) = m**3 + 7*m**2 - 6. Let r(c) = -18*c - 47 + 30*c - 8*c. Calculate the remainder when g(-6) is divided by r(13). 0 Let l = -34417 - -36847. What is the remainder when l is divided by 21? 15 Let p = 311 - 1017. Let z = 727 + p. Calculate the remainder when 174 is divided by z. 6 Let o be (-2 - (-32)/24) + (-287)/(-3). Let t = 117 - o. What is the remainder when 105 is divided by t? 17 Let w(i) = -54*i + 42. Let n be w(1). Suppose -g = -5*g + 84. Let v = g + n. Calculate the remainder when v is divided by 3. 0 Suppose -120*o + 27 = -1653. Calculate the remainder when 529 is divided by o. 11 Let k be 8/(-16)*1*6328/4. Let u = -774 - k. Calculate the remainder when 101/3 + 4/(-6) is divided by u. 16 Let i be ((-48)/(-32))/((-6)/(-3676)). Suppose 5*x - 1531 = 2*w, -3*x - 3*w + 4*w + i = 0. Calculate the remainder when x is divided by 31. 28 Let z(l) = l**3 + 50*l**2 + 82*l - 584. What is the remainder when z(-48) is divided by 87? 1 Let x = 257 - -180. Calcula
{ "pile_set_name": "DM Mathematics" }
2. -76 + 49*sqrt(2) Simplify ((sqrt(432) + sqrt(432) + -5*sqrt(432) + sqrt(432) - sqrt(432))/sqrt(12))/(-4*sqrt(972)). sqrt(3)/12 Simplify (2 + sqrt(8) - (sqrt(128)*-1)**2) + (((-1*sqrt(288) + sqrt(288) - sqrt(288))*-2 - sqrt(288))*-1)**2. 2*sqrt(2) + 162 Simplify ((-2*sqrt(300))**2 + (sqrt(21) - (sqrt(189) + sqrt(21)))/sqrt(7) - 1*sqrt(60)/sqrt(5))*3. -15*sqrt(3) + 3600 Simplify ((6*(sqrt(98) + 2) - (1*sqrt(98) + -1)) + 0)**2. 910*sqrt(2) + 2619 Simplify (-1*sqrt(65)*1 + sqrt(65) - 4*(sqrt(65) - (sqrt(65)*2 - sqrt(65))))/(2*(sqrt(5) + -6*sqrt(20))). 0 Simplify (5 + 1*sqrt(704) - 1*(sqrt(704) - (sqrt(704) + sqrt(704) + sqrt(704) + 0)) - -4*(-3 + 1 + sqrt(704) + sqrt(704)))**2. -528*sqrt(11) + 85193 Simplify (5 + 0 + (-1*sqrt(208) - sqrt(208)))**2*5 + 5. -400*sqrt(13) + 4290 Simplify (sqrt(5082)*2 + sqrt(5082) + sqrt(3402)*-1)/(sqrt(726)*1*3). 8*sqrt(7)/11 Simplify (4*sqrt(1089))/(sqrt(75)*-1). -44*sqrt(3)/5 Simplify ((sqrt(54)/sqrt(3)*3 - (sqrt(240)/(sqrt(10)*-4))/sqrt(12)) + 1)**2. 37*sqrt(2)/2 + 1377/8 Simplify (sqrt(612) - (-2 + sqrt(612) + 0) - sqrt(612) - 6*(sqrt(612) + 1))**2*3. 1008*sqrt(17) + 90012 Simplify (sqrt(18) + 3 + sqrt(2) + (sqrt(2) - (-3 + 0 + sqrt(2))) + sqrt(2) + -3)**2*1. 30*sqrt(2) + 59 Simplify -6*(-1 + (4 + sqrt(363) + 0 + sqrt(363) + sqrt(363) + 0 + sqrt(363) + sqrt(363))**2*4). -218178 - 10560*sqrt(3) Simplify (4*(sqrt(416)/(sqrt(16)/sqrt(2)))/sqrt(4) + 3 + (sqrt(1573) - (1 + sqrt(1573) + 4)))**2. -16*sqrt(13) + 212 Simplify ((sqrt(144) - (-2*sqrt(144)*3 + sqrt(144)) - sqrt(144))/sqrt(12))/((sqrt(84)/sqrt(3))/sqrt(7) + (sqrt(4) - sqrt(28)/sqrt(63))). 3*sqrt(3) Simplify ((-3*sqrt(68)*-2 + sqrt(68) - (sqrt(68)*-1 + sqrt(68))*4)/(sqrt(144) + (sqrt(144)*-2 + sqrt(144))*6 + sqrt(144)))**2. 833/576 Simplify ((-2*(sqrt(343)*-1 + sqrt(343)) - (3 + sqrt(343))*-1) + 0)**2. 42*sqrt(7) + 352 Simplify (2 + -2 + 1 + sqrt(245) + sqrt(245)*1)**2. 28*sqrt(5) + 981 Simplify 5 + (-5*(sqrt(119)*2 - sqrt(119)) + sqrt(119))/(-1*sqrt(700) - sqrt(7))*-3. -12*sqrt(17)/11 + 5 Simplify 4*-2*(-5 + 1 + sqrt(5) - (1*sqrt(720))**2)*-3. -17376 + 24*sqrt(5) Simplify (sqrt(180)/(sqrt(12) - (sqrt(12) + -1*sqrt(72)/sqrt(6))))/((sqrt(80) + -2*sqrt(80) + sqrt(5))*-4). sqrt(3)/12 Simplify (((sqrt(10) - (6*sqrt(10)*4 + sqrt(10))) + sqrt(10))/(sqrt(40)/(sqrt(8)*3 - sqrt(8))))**2. 4232 Simplify -3*-6*(sqrt(4) - sqrt(100))/sqrt(2)*-6. 432*sqrt(2) Simplify (-2*(-5*(1 + sqrt(320))*3 + -5 + (sqrt(320) - (-2 + 1 + sqrt(320)) - sqrt(320)) + sqrt(320)))**2. 18240*sqrt(5) + 289444 Simplify -1*((2*sqrt(726) - sqrt(726)) + sqrt(486)/sqrt(9))/(2*(sqrt(2) - sqrt(14)/(sqrt(7) + (sqrt(7) - (sqrt(21)/sqrt(3) - sqrt(7)))))). -14*sqrt(3) Simplify (((-1*sqrt(1188) - sqrt(1188))*-3)/(4*(sqrt(3) + (sqrt(243) - (sqrt(243) + (sqrt(243)*-1 - sqrt(243)) + sqrt(243))) + sqrt(243))))**2. 891/361 Simplify (3*(sqrt(95) + (sqrt(95) - (sqrt(95) - sqrt(95)*-1) - sqrt(95)) + sqrt(95))*-5)/(-2*(sqrt(5) + sqrt(5) + sqrt(5) + sqrt(80)*-6)). 0 Simplify ((1 + (sqrt(320) + -1 + sqrt(320))*6)*-6)**2. -34560*sqrt(5) + 1659780 Simplify (-5*(sqrt(936)*1 + sqrt(936)))/(-3*sqrt(32) + sqrt(2) + sqrt(18)/(sqrt(9) + 1*sqrt(9) - sqrt(9))). 6*sqrt(13) Simplify (-2*(3 + (sqrt(17) - sqrt(17)*4)))**2 + (4*4*sqrt(833))**2. -72*sqrt(17) + 213896 Simplify 2*(2*(sqrt(432) - (2*sqrt(432) + sqrt(432) - sqrt(432))) + 0)**2. 3456 Simplify -2 + (sqrt(114)/sqrt(24)*4 + sqrt(475) + 1 + sqrt(475) + -5 + sqrt(19) + -1)**2. -130*sqrt(19) + 3234 Simplify 4 + (sqrt(448)*-1 + -1*sqrt(7) + -4 - (sqrt(56) + (sqrt(2744) - (sqrt(2744) + 2*sqrt(2744))))/sqrt(8))**2. -32*sqrt(7) + 132 Simplify ((2*sqrt(72))/sqrt(4)*2)/(sqrt(99)/(sqrt(44)/(sqrt(8)/sqrt(2)))). 4*sqrt(2) Simplify (-1*sqrt(304) + 4 + sqrt(304) + 0 + 3)**2*2*3. 294 Simplify (sqrt(21)/(-1*sqrt(7)) + (sqrt(363)*2 + sqrt(3) - sqrt(3)))**2 + -2 - (-3*(sqrt(48) + (sqrt(384)*-2 + sqrt(384))/sqrt(8)))**2. 1321 Simplify -1*6*(-1*sqrt(156))/sqrt(12) - -6*(-1 + -1 + sqrt(208) + sqrt(208)). -12 + 54*sqrt(13) Simplify (-1 + ((-1 + sqrt(704)*-1 - sqrt(704) - sqrt(704)) + -4 + 0 + sqrt(704) + sqrt(704) - (5 + 2*sqrt(704) - 5*sqrt(704)*-2)))**2. 2288*sqrt(11) + 119097 Simplify -4 + ((sqrt(304)*3*4)**2 - ((-3 + sqrt(304) - sqrt(304)) + -1)). 43776 Simplify -5 + (4 + 2 + (-1 + sqrt(180) - sqrt(180))**2)*-5. -40 Simplify ((sqrt(171) + (sqrt(171) - (sqrt(171) + 1)))*-6 + (sqrt(171) - sqrt(171)*-2*-1) + -3)**2 + -2. -126*sqrt(19) + 8386 Simplify -2*-1*(4 + -2 + 2*sqrt(3) - sqrt(6)/(sqrt(2) - (sqrt(2) - sqrt(22)/(sqrt(33)/sqrt(3)))))**2. 8*sqrt(3) + 14 Simplify (sqrt(20) - (sqrt(20) + (sqrt(200)*-2)/sqrt(10) - sqrt(20)) - sqrt(120)/(sqrt(6)*-2))/(sqrt(160)*-2). -7*sqrt(2)/16 Simplify -1*(-1*2*sqrt(1053) + 1 + 3). -4 + 18*sqrt(13) Simplify ((-2 + sqrt(500) - sqrt(500) - sqrt(500)) + -2)*4 + sqrt(500)*-3*-2 + 5. -11 + 20*sqrt(5) Simplify 6*(-5 + (sqrt(75) + sqrt(75) + (-5*-1*sqrt(75) - sqrt(75)) + sqrt(75))**2)*3. 66060 Simplify (sqrt(72)*-2 + 5 + (4*sqrt(1296))/sqrt(8))**2. 240*sqrt(2) + 1177 Simplify ((-2*sqrt(156)*2 - sqrt(156)) + sqrt(156))/(sqrt(72)/(4*sqrt(6) + sqrt(6))). -20*sqrt(13) Simplify -5 + -5 + (sqrt(162)*1 + 0 + -4)**2. -72*sqrt(2) + 168 Simplify (5*2*sqrt(55))/(sqrt(132)/(sqrt(12) - sqrt(108))) + -2. -20*sqrt(5) - 2 Simplify (sqrt(495)/(sqrt(36)/sqrt(4)))/(sqrt(5) + sqrt(45)/(sqrt(225) + sqrt(9))) + -4. -4 + 6*sqrt(11)/7 Simplify -2 + sqrt(6)/sqrt(3) + (sqrt(144) - sqrt(16))/sqrt(8) - (1 + sqrt(2) + 0 - (sqrt(2) + 1 + -4)). -6 + 3*sqrt(2) Simplify -6*(-4 + (sqrt(150)/(2*sqrt(5)))/((sqrt(160) - (sqrt(160)*-2 - sqrt(160))) + sqrt(160))). -3*sqrt(3)/20 + 24 Simplify (sqrt(40)*-2*-3)/(sqrt(8) + (sqrt(8) - sqrt(80)/(sqrt(10) + sqrt(10) + sqrt(250)))). 42*sqrt(5)/13 Simplify -3*((-5*(sqrt(272) + sqrt(272) + sqrt(272) + -1 + sqrt(272) + sqrt(272) - sqrt(272))*3)**2 - ((sqrt(272) + -1)**2*6 - (5*(sqrt(272) + 1))**2)). -2953836 + 20856*sqrt(17) Simplify ((-5*sqrt(1408))/(sqrt(704)*-1 + sqrt(704) + sqrt(704) + sqrt(704)))**2. 25/2 Simplify (-1 + (sqrt(475) - 4*sqrt(475)) + 4)*-1*-6. -90*sqrt(19) + 18 Simplify 2*((4 + (sqrt(190)/sqrt(10) - sqrt(19)) - sqrt(19)) + -5) + -1. -2*sqrt(19) - 3 Simplify ((sqrt(189) + (sqrt(189) - (2*-1*sqrt(189) + sqrt(189))) + sqrt(189))/sqrt(3))/(sqrt(27)/sqrt(27) - (sqrt(9) - 2*(sqrt(9) - sqrt(144)))). -3*sqrt(7)/5 Simplify (((sqrt(2057) - (sqrt(2057) + -2)) + sqrt(2057))*-6 + 0 + 0 + 2)**2. 1320*sqrt(17) + 74152 Simplify (sqrt(76) - (sqrt(76) + (sqrt(76) - (-4*sqrt(76) - sqrt(76)))*5))/(sqrt(484)*-5). 6*sqrt(19)/11 Simplify (sqrt(84) + sqrt(84) + 1*(-3*sqrt(84) + sqrt(84)))/(3*sqrt(972)). 0 Simplify -4 + (sqrt(245)*2 + 2 + 4 + (-2 + sqrt(245) + 1)*-5)**2. -462*sqrt(5) + 2322 Simplify -5 + ((sqrt(1008) + sqrt(1008)*-1 + 0 + sqrt(1008) + 5*(0 + sqrt(567)))*1)**2. 22738 Simplify -6*5*(-1*-2*sqrt(475) + sqrt(475)). -450*sqrt(19) Simplify -2*(5*(-5 + sqrt(11) + sqrt(11) + sqrt(11) + sqrt(44) + sqrt(44)/sqrt(64)) + 2 + -3). -105*sqrt(11)/2 + 52 Simplify (sqrt(66)/(sqrt(66)/sqrt(216)))/(sqrt(243)*3*-2 + sqrt(243)). -2*sqrt(2)/15 Simplify (3*3*(sqrt(891) + 0)*-3)**2. 649539 Simplify (3*(-2*sqrt(243)*5 + -3 + -1)*1)**2. 6480*sqrt(3) + 218844 Simplify (1 + ((sqrt(272)*2)/sqrt(8))/(2*sqrt(72)))**2. sqrt(17)/3 + 53/36 Simplify (3*sqrt(1260))/(sqrt(42)/(3*sqrt(6))). 54*sqrt(5) Simplify ((-2*((-1*sqrt(650) - sqrt(650)) + sqrt(650)) + sqrt(650))/(((sqrt(48)*1)/sqrt(2))/sqrt(12)))**2. 2925 Simplify (-3 + (-1*sqrt(66))/sqrt(6) - (-2*sqrt(11)*-2 + 2))**2. 50*sqrt(11) + 300 Simplify ((sqrt(1100) - 2*(sqrt(1100) + 1)) + (-1 + sqrt(1100))**2 + 2)*4*4. -480*sqrt(11) + 17616 Simplify (-5 + ((sqrt(2299) + sqrt(2299)*-2)**2 + sqrt(2299) + -5)*-6)*6. -82614 - 396*sqrt(19) Simplify ((sqrt(4235)*-1)/sqrt(7) - ((sqrt(200) - (sqrt(200) - sqrt(200)*-1))/sqrt(10))/sqrt(4))**2. 500 Simplify ((sqrt(160) - (sqrt(160) - sqrt(160)*2)*5 - sqrt(160))/sqrt(10))/(-1*sqrt(288) - sqrt(40)/(sqrt(10)/sqrt(2))). -5*sqrt(2)/7 Simplify 1*((sqrt(1872) - ((1 + sqrt(1872))**2 + -2) - (-3 + sqrt(1872) + 0)) + 5). -1863 - 24*sqrt(13) Simplify (2*((sqrt(108) + 1 - sqrt(108))*-4 + -1 + 3))**2. 16 Simplify 1 + sqrt(45) + 5*sqrt(20) - (sqrt(15)/(sqrt(3)*-2*-2))**2. 11/16 + 13*sqrt(5) Simplify (3*sqrt(810))/(5*sqrt(5)*3). 9*sqrt(2)/5 Simplify ((4 + sqrt(363))*5 - (sqrt(363) + -3 + sqrt(363) + 3))**2. 1320*sq
{ "pile_set_name": "DM Mathematics" }
s y(t(m))? -15*m Let k(f) = f. Let o be (2/(-6))/((-416)/138 - -3). Suppose -n + 3*w - 9 = -o, -5*w = 15. Let y(b) = b + b - n*b + b. Calculate y(k(j)). -2*j Let h(y) = 10807*y**2. Let l(a) = -118*a - 170*a - 120*a - 116*a + 522*a. Calculate h(l(v)). 43228*v**2 Let x(d) = 2*d**2. Let b(q) = -4096456*q - 8704. Let a(f) = 11285*f + 24. Let g(p) = -1088*a(p) - 3*b(p). Give g(x(r)). 22576*r**2 Let i(v) be the third derivative of v**4/12 + 5*v**2 - 13*v. Let t(c) = 109*c + 1. Give i(t(x)). 218*x + 2 Let n(k) = -k + 4. Let j(c) = -4*c + 12. Let q(r) = -2*j(r) + 6*n(r). Let b(w) be the first derivative of -125*w**3/3 - 2*w - 24. Give q(b(z)). -250*z**2 - 4 Let y(s) = 16*s. Let x(u) = -4*u + 6. Let c(h) = 3*h - 210. Let r(a) = c(a) + x(a). Give y(r(d)). -16*d - 3264 Let s(l) = -10*l. Let r(h) = 12*h. Let b be (27 - 30) + (-1 - 0). Let w(v) = 2*v. Let p(o) = b*r(o) + 16*w(o). What is s(p(n))? 160*n Let c(y) = -19*y. Let i(a) be the first derivative of -5*a**4/12 + 71*a - 47. Let x(u) be the first derivative of i(u). Determine c(x(p)). 95*p**2 Let q(l) = -4*l + 18. Let v(u) = 6*u - 25. Let g(b) = 4*q(b) + 3*v(b). Let f(t) = t - 6*t + 2*t + 0*t. Calculate g(f(o)). -6*o - 3 Let u(g) = -g**2 + 2*g + 26. Let w be u(6). Let f(q) = 0*q**2 - 4*q**2 - 3*q**2 + 5*q**w. Let h(t) = t**2 + t**2 + 5*t**2 + 0*t**2. Give h(f(y)). 28*y**4 Let b(q) = q. Let s(f) = 12*f. Let v(k) = 18*b(k) - s(k). Suppose 0 = -4*n - 4*r + 16, 5*r - 2 = n - 0*r. Let p(z) = 0*z + n*z - 4*z - 5*z. Give p(v(m)). -36*m Let u(g) = 213*g**2. Let y(b) be the third derivative of b**5/5 - b**2 - 216. Give y(u(i)). 544428*i**4 Let d(i) = -9*i + 3*i**2 + 9*i - 7*i**2. Suppose -5*p - 4*t + 15 = 0, -2*p + 3*p - 2*t - 3 = 0. Let v(o) = -o - o + o - p*o. Calculate d(v(c)). -64*c**2 Let b(v) = v - 4*v**2 + 3*v + 10*v. Let g(c) = -42*c. Let p(i) = -25*i. Let h(l) = 3*g(l) - 5*p(l). What is h(b(f))? 4*f**2 - 14*f Let v(k) = 2892*k. Let s(o) be the first derivative of 2*o**3/3 - 2469. What is v(s(g))? 5784*g**2 Let c(j) = j**2 + 83*j. Let v(a) = 203*a + 15. Let s(p) = 170*p + 12. Let n(w) = 5*s(w) - 4*v(w). Calculate c(n(r)). 1444*r**2 + 3154*r Let k(t) = -384*t. Let n(h) be the third derivative of -h**4/8 + 902*h**2. Calculate n(k(w)). 1152*w Let h(g) = 135*g - 2860. Let d(y) = -5*y + 104. Let m(r) = 110*d(r) + 4*h(r). Let n(a) = -3*a + 3*a**2 + 3*a. What is m(n(s))? -30*s**2 Let z(x) = -5*x - 323528 + 323528. Let c(h) = 3*h + 4*h + 4*h. Let s(j) = -6*c(j) - 13*z(j). Let b(u) = 18*u. What is s(b(d))? -18*d Let s(x) = x**2. Let l = -11 - -15. Let t be 6/4*(-12)/(-9). Let d(q) = -l*q**t - 3*q**2 + 7*q**2 + q**2. What is s(d(n))? n**4 Let y(i) = 67766*i. Let z(k) = k - 543. Give y(z(s)). 67766*s - 36796938 Let g(h) = -13*h - 33*h - 3 - 2 + 4 - 123*h. Let z(p) = 8*p. Give g(z(s)). -1352*s - 1 Let l(x) = x. Let w(s) be the third derivative of -97/3*s**3 + 0*s + 156*s**2 + 1/60*s**5 + 0*s**4 + 0. What is w(l(a))? a**2 - 194 Let a(p) = p + 200. Let r(s) = 759545*s**2. Calculate a(r(x)). 759545*x**2 + 200 Let g(i) = 10*i**2 + 4. Let k(j) = -382896*j. Calculate k(g(o)). -3828960*o**2 - 1531584 Let y(r) = -3659471*r**2. Let f(j) = -29*j**2. Give f(y(q)). -388360111995389*q**4 Let d(m) = -3*m. Let w(c) be the first derivative of 245*c**3/3 - 4097. Give d(w(h)). -735*h**2 Let v(a) = 18 - a**2 - 157 + 297 - 158. Let o(s) be the third derivative of -3*s**5/20 - s**2. Give o(v(d)). -9*d**4 Let l(u) = -515*u. Let a(v) = 5*v + 180. Let n(w) = 5*w + 120. Let c(o) = -2*a(o) + 3*n(o). Calculate c(l(k)). -2575*k Let u be ((-3)/((-9)/(-6)))/((-9)/(-198)). Let n = 46 + u. Let g(c) = 4*c**n + 0*c**2 - 6*c + 6*c. Let l(k) = -4*k. Calculate g(l(o)). 64*o**2 Let f(c) = -c - 6. Let h(r) = -r - 5. Let n(v) = -5*f(v) + 6*h(v). Let b(y) be the second derivative of -247*y**4/12 - 47619*y. What is b(n(l))? -247*l**2 Let m be (12/(-10))/(2/(-95)) + 2. Let c(p) = -49 + 108 - m - p. Let l(o) = -o - 1. Let x(q) = -4*q + 12. Let n(j) = l(j) - x(j). Calculate n(c(b)). -3*b - 13 Let p(f) be the first derivative of -2*f**3/3 + 1. Let w(u) = 90*u + 6. Let q be w(1). Let h(a) = -3*a - 96 + q. Determine p(h(l)). -18*l**2 Let i = -132 - -130. Let a(h) = -81*h - 4. Let l(k) = -324*k - 17. Let y(j) = i*l(j) + 9*a(j). Let c(p) = -2*p**2. Calculate y(c(x)). 162*x**2 - 2 Let q(f) = -103*f - 38. Let g(h) = -11*h - 4. Let p(t) = 38*g(t) - 4*q(t). Let a(z) = 39*z**2 - 10*z. Determine p(a(b)). -234*b**2 + 60*b Let l(o) = -35432*o. Let v(s) = -18*s**2 - 2*s. What is v(l(f))? -22597679232*f**2 + 70864*f Suppose -8 = -5*o + 4*n, -5*o + 2*n = -0*n - 14. Let k(b) = -26*b**2 + o*b - 4*b. Let j(v) be the first derivative of 2*v**3/3 - 2808. What is k(j(l))? -104*l**4 Let t(m) = 46*m - 934. Let x(i) = 9*i. What is x(t(a))? 414*a - 8406 Let l(f) = 5*f**2 + 6*f - 6. Suppose 39*p + 192 = 71*p. Let d(i) = 10 - 9*i**2 + 1 - 4*i - 7*i. Let h(j) = p*d(j) + 11*l(j). Let m(n) = -41*n. Give m(h(t)). -41*t**2 Let l(t) = -17*t + 3. Let k(n) be the second derivative of n**4/4 + 1236*n. Calculate k(l(u)). 867*u**2 - 306*u + 27 Let w(b) be the second derivative of -59/6*b**3 - 60*b - 2 + 0*b**2. Let h(i) = -6*i. Calculate w(h(t)). 354*t Let m(v) = 67970*v. Let z(n) = -237*n**2. Calculate m(z(c)). -16108890*c**2 Let x(t) = 2*t**2. Suppose -6*b - 253 = -271. Let l(i) = -1 - 417*i**2 + b - 2 + 421*i**2. Calculate x(l(n)). 32*n**4 Let n(m) = -m. Let t(r) = r**3 - r**2 - r + 2. Let d be t(0). Let x be (36/(-20)*-2)/(4/30). Let f(y) = 4*y**2 - 7*y**2 + x*y**d. What is n(f(l))? -24*l**2 Let y(f) = -103*f**2 + 4*f - 4. Let a(x) = -17820*x**2 + 693*x - 693. Let c(b) = 4*a(b) - 693*y(b). Let m(q) = 22*q. Calculate c(m(w)). 47916*w**2 Let y(n) = -4*n**2. Let i be 43 + (0 - 5) - -6. Let x(b) = 2*b + 1. Let p(r) = -26*r - 11. Let v(c) = i*x(c) + 4*p(c). What is v(y(j))? 64*j**2 Let t(q) = q**2 + 2*q + 1. Let n(i) = -13*i**2 + 4*i + 2. Let b(k) = -n(k) + 2*t(k). Let h(a) be the first derivative of -4*a**3/3 - 5. What is b(h(c))? 240*c**4 Let i(p) = -2*p. Let x(r) be the first derivative of r**6/360 + 11*r**3/3 + 30. Let z(l) be the third derivative of x(l). Give i(z(m)). -2*m**2 Let q(a) = -8925265*a. Let x(f) = 2*f**2. Calculate q(x(u)). -17850530*u**2 Let g(m) = -2*m**2 - 1228*m + 2. Let x(h) = 4213*h. Calculate x(g(i)). -8426*i**2 - 5173564*i + 8426 Let s(h) = 4*h. Let u(m) be the first derivative of -6*m**3 + 1396. Give u(s(k)). -288*k**2 Let v(z) = -4*z. Suppose -12*w + 42 = 2*w. Let m(x) = -3 + 11*x - 26*x - 1 + 2 + w. Calculate v(m(f)). 60*f - 4 Let c(g) = 2*g. Let z(l) = -50269672*l - 1. Calculate c(z(x)). -100539344*x - 2 Let i(m) be the second derivative of -m**4/6 - 3*m. Let c(k) = k**3 - 9*k**2 - 10*k + 3. Let v be c(10). Let o(j) = 3*j + j + v*j - 8*j. Determine i(o(f)). -2*f**2 Let q(c) = 91*c - 3798. Let o(y) = 721*y**2. Calculate q(o(p)). 65611*p**2 - 3798 Let a(z) = -4*z. Let n(v) = 11*v + 29805. Determine a(n(o)). -44*o - 119220 Let a(i) = -3*i. Let b(k) = 16783*k. Give b(a(t)). -50349*t Let s(p) = 28*p**2. Let t(i) = -9*i. Let w(j) = 2*j. Let k = -117 + 119. Let n be -2 + -9 + k - -4. Let a(u) = n*t(u) - 24*w(u). Calculate a(s(b)). -84*b**2 Let q(x) = -205*x**2 - 521*x**2 + 325*x**2. Let p(k) = -k**2. What is p(q(c))? -160801*c**4 Let v(m) = 1. Let g(b) = 0*b - 7*b + 0*b + 6. Let y(r) = g(r) - 6*v(r). Let t(f) = -32*f + 9. Let o(w) = -7*w + 2. Let p(d) = 18*o(d) - 4*t(d). Give y(p(i)). -14*i Let v(w) = 2*w. Let f be -44*(2 - (-10)/(-4)). Suppose 5*u + 4 - 14 = 0. Let m(h) = -22*h + f*h - 21*h**u. Determine v(m(p)). -42*p**2 Let q(x) = 8*x + 6. Let i(b) = 9*b + 7. Let g(n) = -6*i(n) + 7*q(n). Let y(s) = -1 - 28*s - 37*s - 24*s - 1 + 18*s. Determine g(y(o)). -142*o - 4 Let n(x) = 45*x - 11. Suppose 177 = 10*g - 43. Let z(q) = -8*q + 2. Let c(o) = g*z(o) + 4*n(o). Let h(a) = -18*a + 3. Calculate h(c(u)). -72*u + 3 Let q(b) = -10*b - 5. Let k(w) = -6*w - 81564. Determine k(q(u)). 60*u - 81534 Let n(u) = -19*u**2. Let g(f) = -10*f**2 - 211950. What is g(n(s))? -3610*s**4 - 211950 Let z(u) = 9*u. Let t(s) = -1584910*s. Give t(z(f)). -14264190*f Let d(l) = -2*l - 2. Let k(g) = 57*g + 66. Let t(o) = 66*d(o) + 2*k(o). Let i(q) = -5*q. Let s(a) = -14*i(a) + 4*t(a). Let y(f) = -21*f. Calculate y(s(v)). 42*v Let m(a) = -7*a**2 - 3*a - 3. Let z = 382 + -388. Let s(f) = -7*f**2 - 2*f -
{ "pile_set_name": "DM Mathematics" }
2)? -3 Evaluate -6 - (-4 - 5 - -7). -4 What is the value of -1 + -4 - (0 + -2)? -3 What is the value of 1 + (6 - 3) - (4 - 1)? 1 What is the value of 1 + -4 + 7 + -3? 1 1 - 6 - (119 + -117) -7 Calculate -7 - -8 - 10 - -4. -5 Calculate -12 - ((-22 - -3) + 0). 7 Evaluate -2 + -3 + 2 + 5 - 6. -4 What is (-1 - (5 + -4)) + 0? -2 Calculate -9 + 14 + (2 - 3). 4 What is the value of (-2 - (2 + -4)) + -4? -4 What is the value of 0 - (3 - 0 - 3 - 1)? 1 -6 + 1 - (6 - 9) -2 -1 + -2 + 5 + -2 0 What is 12 + 0 - 8 - 1? 3 10 + 3 + -23 + 10 0 What is (-2 - (2 + 1)) + (-2 - -9)? 2 Evaluate 0 - (0 + 1) - (-1 - -5). -5 What is the value of 6 + -7 + (3 - (7 - 9))? 4 Calculate -3 + (9 - 6) - 4. -4 Evaluate -7 - (2 - (3 - (-3 + 8))). -11 What is the value of 1 + 4 + (-11 - -6)? 0 What is (5 - 1) + (3 - 6) + -1? 0 What is -7 + 8 + -1 + 1 + 0? 1 Calculate -1 - (-3 - (2 + -5)). -1 4 + -2 - (-26 + 36) - -3 -5 Evaluate 7 + -15 + 5 + 2. -1 What is the value of (-1 - -4) + 0 + -2 + -1? 0 What is 5 - ((4 - 3 - 0) + 0)? 4 What is (-5 - -1) + 0 + 3? -1 What is the value of -13 + 20 - (0 - -12) - 3? -8 What is the value of 0 - -4 - 4 - -3? 3 What is the value of 7 - (-1 + 2 + 1 + -3)? 8 What is the value of -6 + (-3 - (-11 + 6))? -4 What is (5 - (5 - (3 - 6))) + -4? -7 Evaluate -3 + -2 + (-8 - -17). 4 What is (5 - 4) + 2 + -3 + 3? 3 What is the value of -4 - (8 + (-13 - -6))? -5 -1 + -3 + 3 + 0 + 6 5 Calculate (1 - 4) + (12 - 9) + 2. 2 What is the value of 2 + (-5 - -6) + 1 + -7? -3 Calculate -2 + (2 - (-1 - -3 - 3)). 1 Evaluate -4 - -1 - 2 - -4. -1 Calculate -4 + 2 + 3 + -6. -5 Calculate -13 + 14 - (-15 + 10). 6 What is 2 + 2 + 0 + -5 + -1? -2 What is (3 + -1 - -3) + -9? -4 What is the value of (8 - (3 + -6)) + (21 - 29)? 3 Calculate -29 + 22 - (1 + 0). -8 What is the value of -4 - (-7 + -1) - (1 + 0)? 3 Evaluate -4 - (-1 + (-3 - -3)) - 2. -5 What is the value of (14 - 0) + -1 - 14? -1 Evaluate (-4 - (4 - 7)) + -2. -3 Calculate -3 + -1 + 1 + 0 + 0. -3 4 + -2 + 2 + -10 -6 What is the value of -2 - (5 + (-9 - -3))? -1 Calculate 2 - (8 - (-6 - -8)). -4 Evaluate 5 - (4 + (-5 - -4)). 2 What is -53 + 48 + (5 - 1 - 7)? -8 Calculate (-1 - -4) + -19 + 19 + 1. 4 What is (-40 - -28) + (2 - -5)? -5 What is -6 + (1 - 6 - (0 - 7))? -4 What is the value of -1 + -2 + 2 + (-56 - -58)? 1 What is 0 - 3 - (5 - (9 + -5))? -4 What is (-5 - 1) + (0 + 4 - -8)? 6 Evaluate -9 - ((-1 - 4) + -6). 2 What is -4 + 5 + 3 + (-3 - -1)? 2 Evaluate (-2 - -5) + (15 - 7) + -6. 5 Evaluate 4 - (-8 + 11 + (0 - 1)). 2 What is the value of 1 - -1 - (9 - 10 - -4)? -1 What is the value of 9 - 1 - -1 - (-29 + 35)? 3 (2 - (0 - (-1 - 2))) + 0 -1 Calculate (-3 - (1 + 1)) + (10 - 6). -1 What is (0 - (0 - -1)) + 2? 1 Evaluate -2 - ((3 - (-1 - -2)) + 1). -5 What is the value of -1 - (18 + -23 + (0 - -1))? 3 What is the value of 7 + 13 + -11 + -16? -7 Evaluate (-4 - (-7 + 3)) + (2 - 6). -4 What is -8 + 11 + -5 + 4 + 5? 7 What is -1 - (12 - (-1 - -10))? -4 What is -3 + -1 - (2 + 1 + -4)? -3 What is the value of -3 + -4 + 1 + 13 - -3? 10 What is the value of -2 + (4 - -3) + 4 + -5? 4 (7 + -8 - 1) + 3 + 4 5 -5 + 4 + 1 + 3 + -4 -1 Evaluate -5 + 2 + (-4 - -8). 1 Evaluate 3 - (0 + (0 - -3) + -4). 4 What is -58 + 59 + -1 + 3 + -6? -3 Evaluate 1 + -8 - (3 + -7) - 2. -5 What is the value of 2 - (-2 - -4) - (-2 + -1)? 3 What is the value of 0 + 3 + (-5 - (-3 + -4))? 5 -8 - (-16 - -10) - -6 4 Evaluate (-2 - (2 - -2)) + 48 + -40. 2 Calculate 5 + -4 - (-2 + 3). 0 What is the value of -12 + -9 + (28 - 5)? 2 Evaluate (-3 + -4 - -3) + -2. -6 What is the value of (-20 - -11) + 11 - 2? 0 Calculate -3 - (2 + 1) - (4 - 3). -7 Evaluate (0 - -2) + (-7 - -3 - -1). -1 What is -2 - (-2 - 7) - 3? 4 What is the value of -1 + 5 + -6 + 0 + -4? -6 1 + (-6 - -10) + 1 6 (-2 - -2) + 5 + -5 + 5 5 Calculate (1 - 3) + 7 + (-1 - 2). 2 What is (-9 - (-5 - 0)) + 0? -4 (-1 - 2) + -3 + (-11 - -23) 6 Evaluate 0 - -5 - (-4 + 7 + -1). 3 Evaluate 8 - 5 - (1 + 0 + 0). 2 Evaluate 1 + (1 - 3) + 1. 0 Evaluate (-1 + -3 - -1) + 7. 4 5 - 4 - 2 - (8 - 14) 5 (-3 - (1 - 1)) + 4 1 Calculate -5 - (-3 + 10 + -7). -5 What is -177 - -170 - (-9 - 1)? 3 Evaluate (18 - 12) + (-1 - (2 - -1)). 2 2 + -1 + -3 - -8 6 -6 + (-1 - (7 + -8)) -6 Calculate (-1 - 1 - (1 - 0)) + 0. -3 What is -27 + 25 - (3 + 4)? -9 What is 0 - -1 - (2 + -5 - -3)? 1 What is the value of -7 + -1 - (0 - (2 - 0))? -6 Calculate (7 - 2) + 0 + -10. -5 Calculate 0 + (-11 + 6 - 1) + -1. -7 What is the value of (-7 - (-7 + 3)) + -2? -5 6 + ((1 - 3) + 3 - 1) 6 -5 + -7 + 12 - -5 5 What is the value of -4 - (-2 - -9 - 11)? 0 Calculate -6 + 8 + -6 + -3. -7 Evaluate 3 + (8 - (2 + 4)). 5 Calculate 1 + (2 + 1 - (11 + -4)). -3 What is 5 - ((1 - -5) + 4)? -5 What is the value of -8 + (13 - (6 + (-1 - -1)))? -1 What is the value of -4 + 4 + (1 - (-1 - 0))? 2 -3 + -6 - -5 - -4 0 5 - 0 - (1 - -3) 1 -1 - -8 - (-1 + 5) - 4 -1 What is the value of -4 - -1 - (-1 - 2)? 0 Evaluate (-7 - -4) + 1 + 2. 0 Calculate 0 - ((-2 - 2) + 2). 2 Calculate -1 + (-2 - 1) - -8. 4 What is the value of 0 + -8 + 7 + -1 + -3? -5 (-5 - (-4 + -8)) + -12 -5 Calculate -5 + (9 + -17 - -8). -5 3 + -2 - -4 - 3 2 -8 - (-7 + (6 - 1)) -6 What is the value of (-5 - -8) + -10 + 3 + 3? -1 Calculate (-6 - (-17 - -6 - -3)) + 2. 4 What is the value of -5 - (-3 - (1 - 3) - 4)? 0 What is -5 + 1 + (3 - -6) - 5? 0 Evaluate (-2 - 0) + (25 - 4 - 14). 5 What is (-3 - -4 - -2) + (1 - -1)? 5 Calculate -1 + (6 - -4) - 4. 5 (2 - 1) + (11 - 7) 5 What is the value of (1 - 8) + (55 - 46)? 2 What is 2 - 5 - -3 - 2? -2 4 + (-11 - -11) + -9 -5 Calculate -3 - -8 - (7 - 1) - 5. -6 Calculate -2 + (-4 - -1) + 4 - -2. 1 Calculate -5 + 1 + 0 - (10 - 19). 5 12 + 2 + -8 + 0 6 4 + (-5 - 3) - -1 -3 What is 0 + -2 + (16 - 19)? -5 Evaluate (-2 - -1) + (-3 - 4 - -11). 3 What is 5 - (5 - (-5 - -2))? -3 -3 - (1 + -2 + -8) 6 Calculate -5 + -4 + 5 + 0. -4 What is 8 + 10 + -4 + (-8 - 4)? 2 Evaluate (-4 + 3 - 7) + 8. 0 What is -6 + (4 - (5 - (-2 - -3)))? -6 Evaluate 13 + -5 + -4 + -3 + -3. -2 What is the value of (-10 - -14 - 4) + -7? -7 What is (1 - -1) + 73 + -64 + -7? 4 What is the value of -4 + 1 + 11 + (-9 - -6)? 5 What is the value of 3 - (-5 - (-3 + -9 + -3))? -7 Evaluate 3 + (-1 - 5) + (8 - 1). 4 What is 1 + -3 + (-5 - -4)? -3 Calculate (13 - 15) + (2 - -1). 1 -1 + 9 - (77 + -73) 4 What is the value of (1 - 1) + (-11 - -10) - -2? 1 Evaluate 1 + 5 - (-14 + 12 + 9). -1 Evaluate 0 - -3 - (11 + -13). 5 Calculate -2 - ((0 - 3) + -3). 4 Calculate -2 + -11 + 17 + -9. -5 What is -8 + 7 - (-4 - -5)? -2 Evaluate -1 - 0 - (3 + -3 - 2). 1 -8 + (-5 + 4 - -11) 2 What is the value of 5 + 3 + -5 + -2 - 2? -1 What is -3 - (-5 - (7 + -10))? -1 What is the value of 2 - (4 - (5 + -2)) - 3? -2 What is (6 - -2) + -10 - 2? -4 What is -6 - (1 - -8 - 11)? -4 What is -5 - (4 + 8 + -23)? 6 What is 9 + (-6 - -1) - (-3 + 7)? 0 (0 - -6 - -6) + (0 - 6) 6 Evaluate -3 - (0 - (0 - (-8 - -1))). 4 What is -3 + -1 + (-24 - -33)? 5 -5 + (5 - 6) - 0 -6 Calculate 0 - (-6 - (-12 - 0)). -6 -10 + 2 + (-2 - -8) -2 1 - (6 + (-3 - 1)) -1 (4 - (-2 + 11)) + 4 -1 -1 + 1 + (33 - 28) 5 Calculate 2 - -2 - (-7 - -2 - -4). 5 What is -3 - (4 + -8 - 4)? 5 What is 7 + -2 + 0 - (8 + 5)? -8 Calculate 0 - (-6 + 4 + -1 + 6). -3 What is the value of 1 - (8 - (9 - (-8 - -2)))? 8 What is the value of 2 - -5 - (-6 + 8 + 2)? 3 4 + -2 + (0 - 0) 2 Calculate 0 + -8 - (81 + -89). 0 What is (-1 + 4 - 4) + -1? -2 Evaluate (1 - 6) + (3 + 10 - 10). -2 1 - -6 - ((10 - 3) + 6) -6 What is the value of 0 + 3 + -3 + -2? -2 Calculate (-2 - -4) + 2 - (8 - 7). 3 Calculate 1 + -3 + (-108 - -117) - 10. -3 (-5 - 1) + -15 + (10 - -5) -6 Calculate (5 - 1) + -4 - -6. 6 What is the value of 0 - (-2 + 7) - (-1 + -3)? -1 Evaluate 14 + -9 - 0 - -3. 8 Evaluate 3 + (-4 - -1 - (3 - 2)). -1 Evaluate 0 + (0 - -2) + 3. 5 Calculate 1 - (0 + (5 - 3)). -1 Calculate 2 + 2 + (-6 - -1) + 4. 3 Evaluate (-9 - -11 - -10) + -6. 6 What is 1 + (-4 - (-1 - -4))? -6 -4 + -1 + 0 + -12 + 12 -5 Calculate (5 + -5 - -8) + -18. -10 What is (0 - -3) + -7 + 11 + -10? -3 What is 3 + ((1 - -3) + -6 - 1)? 0 Calculate -6 - -1 - (2 + -9). 2 Evaluate -3 + (8 + -9 - 0). -4 What is (-2 - (-4 + 5 + -5)) + 2? 4 What is 4 + (-2 - 2) + -2? -2 What is the value of 6 - (1 + 0) - (-428 + 442)? -9 Evaluate 1 - (4 - (7 + -5)). -1 Calculat
{ "pile_set_name": "DM Mathematics" }
t(8) + -4*(-4*sqrt(2))**2. -128 + 3*sqrt(2) Simplify (sqrt(19) - (sqrt(475) - (sqrt(475) + 0)))**2*-4. -76 Simplify (sqrt(36)/sqrt(128))/sqrt(9). sqrt(2)/8 Simplify sqrt(12)/(sqrt(20)/sqrt(45) - sqrt(4)). -3*sqrt(3)/2 Simplify (-2*sqrt(18)/sqrt(3))/(sqrt(32) + sqrt(128) - sqrt(32)). -sqrt(3)/4 Simplify (4 + (sqrt(32) - sqrt(2)) + 2)**2. 36*sqrt(2) + 54 Simplify (3*(sqrt(5) + 1 + 5 + sqrt(5)))**2. 216*sqrt(5) + 504 Simplify (-3 + (sqrt(128) + 4 - sqrt(128)))**2. 1 Simplify -3*((sqrt(112) + sqrt(112) + sqrt(112) + -1)**2 + (sqrt(7) - (0 + sqrt(7) + 1 + sqrt(7)))**2). -3051 + 66*sqrt(7) Simplify 1 + ((0 + sqrt(112))**2 - sqrt(112)). -4*sqrt(7) + 113 Simplify ((sqrt(104) + (sqrt(104) - (1*sqrt(104) - sqrt(104)))*6 - sqrt(104)) + sqrt(104))/(-1*sqrt(32)). -7*sqrt(13)/2 Simplify sqrt(5) + sqrt(25)/sqrt(5)*5 - (sqrt(5) - -1*(sqrt(5) - (sqrt(5) + 3 - sqrt(5)))). 3 + 4*sqrt(5) Simplify (((sqrt(143)*-1)/sqrt(11))**2 - sqrt(26)/(sqrt(12)/sqrt(6)))*3. -3*sqrt(13) + 39 Simplify (sqrt(3)*1*3*3 + -4)**2. -72*sqrt(3) + 259 Simplify (sqrt(68) - (sqrt(68) + -2))**2 + 1 + (-2 + sqrt(68))*3. -1 + 6*sqrt(17) Simplify ((1*(sqrt(80) - (sqrt(80)*1 + sqrt(80))) + sqrt(80) + sqrt(80))*5)**2. 2000 Simplify -1 + (sqrt(18)/(sqrt(18)/sqrt(2)) - (2 + sqrt(2) + 1)). -4 Simplify (sqrt(425)*1*6 + 5 + 2*sqrt(425))**2*3. 1200*sqrt(17) + 81675 Simplify sqrt(1300) + -1 + sqrt(1300) + sqrt(65)/sqrt(20). -1 + 41*sqrt(13)/2 Simplify sqrt(304) + 1 + ((-1*sqrt(171) - sqrt(171))**2 - sqrt(171)). sqrt(19) + 685 Simplify (-5 + 4*sqrt(1872) + sqrt(1872))*3. -15 + 180*sqrt(13) Simplify ((sqrt(195)*1 + sqrt(195))/sqrt(5))/sqrt(3). 2*sqrt(13) Simplify ((0 + sqrt(11) + (sqrt(11) - sqrt(11)*-2))**2 - sqrt(11)) + sqrt(44) + 4. sqrt(11) + 180 Simplify ((sqrt(42)/sqrt(28))/(1*sqrt(300) + sqrt(300)))**2. 1/800 Simplify (sqrt(17) + 1 + 5)**2 + -4. 49 + 12*sqrt(17) Simplify (-1*((sqrt(26)/sqrt(2) - sqrt(13)) + -2 - sqrt(52)/(-2*sqrt(4))))**2. -2*sqrt(13) + 29/4 Simplify 5 + (sqrt(204) + sqrt(204)*-2 + sqrt(204))/sqrt(12). 5 Simplify 2 + (-2*(-1 + -1*sqrt(68)))**2. 16*sqrt(17) + 278 Simplify (sqrt(121) + -2*sqrt(121))/sqrt(11) - (sqrt(11) + (0 + sqrt(11) + sqrt(11))*4). -10*sqrt(11) Simplify sqrt(425) - (sqrt(425) + 4*sqrt(425)*-2) - -4*(0 + sqrt(425)). 60*sqrt(17) Simplify (sqrt(17)*-2*6 + sqrt(153)/(sqrt(9)*2))**2*3. 26979/4 Simplify (sqrt(132)*2*-3)/(-1*sqrt(84)/sqrt(7)). 6*sqrt(11) Simplify -6*(sqrt(2299) - (sqrt(2299)*3 - sqrt(2299))**2). -66*sqrt(19) + 55176 Simplify (sqrt(13) + -2*sqrt(13)*3 - (sqrt(13) + sqrt(39)/sqrt(3) + 4))**2. 56*sqrt(13) + 653 Simplify (sqrt(18)/(1*sqrt(9)) - sqrt(2))*5. 0 Simplify (0 + sqrt(4050))**2. 4050 Simplify ((5 + (sqrt(448) - (0 + sqrt(448))) + sqrt(448) - (sqrt(448) + -1)*-1)*3)**2. 1152*sqrt(7) + 16272 Simplify (5*(sqrt(192) + 0 + 3 - (sqrt(192) + -1*(sqrt(192)*1 + sqrt(192) - sqrt(192)) + sqrt(192))))**2. 225 Simplify ((sqrt(396)/(sqrt(44)/sqrt(4) + sqrt(11)) - sqrt(36))/(-3*sqrt(432) + sqrt(12)))**2. 3/1156 Simplify -6*(-1 + sqrt(1300) - sqrt(13)). -54*sqrt(13) + 6 Simplify sqrt(55)/((sqrt(20)/sqrt(4) - sqrt(5))*-1 - sqrt(5)). -sqrt(11) Simplify 2 + (sqrt(300)*-2)**2. 1202 Simplify (-4 + (sqrt(448) + 2 - sqrt(448)))*3. -6 Simplify (sqrt(11) + ((sqrt(99))**2 - sqrt(11)) + 2)*1. 101 Simplify 6*(((sqrt(39)/sqrt(48) + sqrt(13))*1)**2 + -3). 831/8 Simplify (sqrt(4)/sqrt(2))**2 + -3 + (-2 + sqrt(288) - sqrt(288))**2. 3 Simplify sqrt(104)/(1*sqrt(32)). sqrt(13)/2 Simplify -2 + ((2 + sqrt(363))*3)**2 + sqrt(363). 407*sqrt(3) + 3301 Simplify 2 + -2 + (1*sqrt(33) + sqrt(33))/sqrt(3). 2*sqrt(11) Simplify (sqrt(3) - sqrt(3)*2*-5) + 3*sqrt(3)*-1. 8*sqrt(3) Simplify 1*sqrt(30)/(sqrt(10) - sqrt(10)*2) - (3 + 0 + sqrt(147)). -8*sqrt(3) - 3 Simplify 6*(sqrt(17) + 0)**2*1*6. 612 Simplify -2 + (sqrt(13)*-2 + -1)**2. 4*sqrt(13) + 51 Simplify (sqrt(170)*-2)/sqrt(10) + sqrt(17) + -5 + sqrt(272). -5 + 3*sqrt(17) Simplify ((6*2*sqrt(114))/((sqrt(6) - 1*sqrt(6) - sqrt(6))*5))**2. 2736/25 Simplify -5*(sqrt(468) + 4 + (1 + sqrt(468))**2 + sqrt(468)). -2365 - 120*sqrt(13) Simplify sqrt(143)/sqrt(99) - (sqrt(1872)*2 - sqrt(1872)). -35*sqrt(13)/3 Simplify ((sqrt(156)*-2 + sqrt(156))*5)/sqrt(12). -5*sqrt(13) Simplify (2 + sqrt(684))**2*-1. -688 - 24*sqrt(19) Simplify ((sqrt(294)*-2)/sqrt(7))/(-2*sqrt(384) + sqrt(6)). 2*sqrt(7)/15 Simplify (6*-1*sqrt(187))/(sqrt(77)/sqrt(112)). -24*sqrt(17) Simplify sqrt(85)/(6*-2*sqrt(5)). -sqrt(17)/12 Simplify (-1*(-3 + sqrt(2)) + (sqrt(2) - (sqrt(20)/sqrt(5))/sqrt(2)))**2. -6*sqrt(2) + 11 Simplify (sqrt(180) - (sqrt(180) + -1*sqrt(180))**2 - (5*(sqrt(5) - sqrt(10)/sqrt(2)) - sqrt(5)))*-1. -7*sqrt(5) Simplify 1*((sqrt(132)/sqrt(3) + sqrt(44))*6*6)**2. 228096 Simplify (sqrt(2299) + -1)*-1. -11*sqrt(19) + 1 Simplify sqrt(26)/(-2*sqrt(2)) + ((sqrt(130) - (sqrt(130) - sqrt(130)*-1)) + sqrt(130) - sqrt(130))/sqrt(10). -3*sqrt(13)/2 Simplify ((sqrt(84)*-1*-6 - sqrt(84)) + sqrt(84))/sqrt(12). 6*sqrt(7) Simplify -4 + (sqrt(25)/sqrt(45))**2. -31/9 Simplify (sqrt(99) + (sqrt(99) - ((sqrt(99) - (sqrt(99) - (4*1*sqrt(99) + sqrt(99)))) + sqrt(99))))/((sqrt(27)*-1)/sqrt(3)). 4*sqrt(11) Simplify -3*(sqrt(30)/sqrt(160) - (sqrt(3)*1 + -3)). -9 + 9*sqrt(3)/4 Simplify (6*(sqrt(143) + -1*sqrt(143)))/(6*sqrt(55)/sqrt(5)). 0 Simplify ((sqrt(2) - (sqrt(2) + (sqrt(2) - ((sqrt(2) - (sqrt(2) + -4)) + 5 + sqrt(2))))) + sqrt(2) + (sqrt(72) - (sqrt(72) - -6*sqrt(72))))**2. -630*sqrt(2) + 2531 Simplify (sqrt(153) - sqrt(17)) + 1 - (1*sqrt(136))/sqrt(8). 1 + sqrt(17) Simplify ((sqrt(104) - sqrt(104)*-2)/sqrt(8))**2 - (sqrt(78)/sqrt(96) - sqrt(13))**2. 1755/16 Simplify ((sqrt(9)*-1 - sqrt(9))*3)/(sqrt(36)/sqrt(48)). -12*sqrt(3) Simplify 1 + sqrt(325) + (-2*sqrt(39)/sqrt(3) - sqrt(13)). 1 + 2*sqrt(13) Simplify -5*(sqrt(448) + (sqrt(448) - ((sqrt(448) + -1)**2 + sqrt(448))) - sqrt(448))*1. -80*sqrt(7) + 2245 Simplify (sqrt(63) + sqrt(252)*-2)/(sqrt(144) - 1*sqrt(144) - sqrt(9)). 3*sqrt(7) Simplify ((sqrt(2448) + -2 + sqrt(2448) + sqrt(2448))*-3 + 5)**2. -2376*sqrt(17) + 198409 Simplify (2 + sqrt(32) + sqrt(2))**2 + (-4*sqrt(242))**2. 20*sqrt(2) + 3926 Simplify 1*sqrt(39)/sqrt(3) + (sqrt(325) - (0 + sqrt(325)))**2. sqrt(13) Simplify (sqrt(931) + sqrt(931) + -1*sqrt(931))**2*3 + 1 + 2. 2796 Simplify (sqrt(1100)*-2 + -1)**2. 40*sqrt(11) + 4401 Simplify 4*(sqrt(3) + -1*(sqrt(3) + -1)). 4 Simplify sqrt(405) + ((sqrt(405) - (sqrt(405) + 1 - sqrt(405))) + 3 - sqrt(405)) + (sqrt(405) - (1*sqrt(405) + 1)). 1 + 9*sqrt(5) Simplify -3*(sqrt(242)*-2)**2*-4. 11616 Simplify (sqrt(72)/sqrt(75))/(sqrt(80)/(sqrt(30)/sqrt(3))). sqrt(3)/5 Simplify ((2 + (2*sqrt(500) + sqrt(500) - -4*sqrt(45)))*4)**2. 2688*sqrt(5) + 141184 Simplify (sqrt(539) + 0 + -4 + 2)**2. -28*sqrt(11) + 543 Simplify sqrt(117)*-3 - (4 + sqrt(13) + sqrt(13) + -1). -11*sqrt(13) - 3 Simplify 3 + (-5*sqrt(208))**2. 5203 Simplify (((sqrt(49) - sqrt(49)*2)*-1)/(2*sqrt(21)/sqrt(3)))**2. 7/4 Simplify (2*sqrt(147))**2 + -1. 587 Simplify ((6*sqrt(60) + sqrt(15))/((sqrt(75) - -2*sqrt(75)) + sqrt(3)))**2. 845/256 Simplify 1*(sqrt(12)/sqrt(216) + 3*sqrt(12)/sqrt(6)). 19*sqrt(2)/6 Simplify 1 + 3*sqrt(500). 1 + 30*sqrt(5) Simplify (6*sqrt(117)/(-3*sqrt(1296)))**2. 13/36 Simplify sqrt(91)/(6*sqrt(252)). sqrt(13)/36 Simplify sqrt(112) - sqrt(112)*2*-6. 52*sqrt(7) Simplify (sqrt(30)/sqrt(90))**2*-3. -1 Simplify (sqrt(187) + sqrt(187) + sqrt(187) + sqrt(187) + (sqrt(187) - (-2*-2*sqrt(187) + sqrt(187))))/(sqrt(22)/(sqrt(8)/sqrt(4))). 0 Simplify sqrt(72) + (-2 + 2*sqrt(2))**2. -2*sqrt(2) + 12 Simplify ((sqrt(9) + 3*sqrt(9))/sqrt(3) - sqrt(3))*2. 6*sqrt(3) Simplify 4 + (sqrt(56) + sqrt(280)/sqrt(5))/sqrt(8). 4 + 2*sqrt(7) Simplify (sqrt(1100) + sqrt(1100) + 1 + sqrt(1100) + sqrt(1100))**2*-2 + sqrt(1100). -35202 - 150*sqrt(11) Simplify (sqrt(52)/sqrt(4))**2 + sqrt(13) + 5 - sqrt(39)/(sqrt(9)/sqrt(3)). 18 Simplify (3 + 2*sqrt(72) + 5)**2. 192*sqrt(2) + 352 Simplify 4 + (sqrt(176) - ((1*sqrt(176))**2 + sqrt(176))*-5). 24*sqrt(11) + 884 Simplify 1 + ((-3*sqrt(30) - sqrt(30)) + sqrt(30))/sqrt(6). -3*sqrt(5) + 1 Simplify (2*sqrt(84)*-1)/(1*sqrt(432)). -sqrt(7)/3 Simplify (1*sqrt(152)*1 + sqrt(152))/(sqrt(48)/(2*sqrt(6))). 4*sqrt(19) Simplify (-2*sqrt(171))**2 - ((sqrt(19) + 2 - sqrt(19))*-2)**2. 668 Simplify -5 + sqrt(24)/(1*sqrt(12)). -5 + sqrt(2) Simplify (
{ "pile_set_name": "DM Mathematics" }
- 4*p. Give i(-1). 4 Let c(l) = -97*l - 861. Let a be c(-9). Let u(k) = -k**3 + 13*k**2 - 11*k + 4. Calculate u(a). 16 Let a(u) = 7312*u - u**2 + 7314*u - 14618*u + 3. Let v be (3/2)/(1/4). Calculate a(v). 15 Suppose 2*j - 8 = 3*j. Let t(l) = 16*l + 3*l - 16*l + 0*l + 5 + 3. Determine t(j). -16 Let y(z) = z**3 + 14*z**2 + 12*z - 6. Let t(m) = -4*m**3 - 30*m**2 + 19*m + 11. Let n be t(-8). What is y(n)? 7 Suppose -4*w + 11*w - 14 = 0. Let c(f) = 6*f**2 + 1 + f**3 + 0*f**3 - 9*f**2 - w*f**3. Determine c(-2). -3 Suppose -4*r + 3 = -17. Let l(t) be the third derivative of -1/2*t**3 + 1/60*t**5 - 5/24*t**4 + 12*t**2 + 0*t + 0. What is l(r)? -3 Suppose 15 = -4*o + 19. Let v be o/(3*3/(-36)). Let i(u) = -u**3 - 4*u**2 - 2*u - 2. Give i(v). 6 Let g be 6/5 - 27/(-15). Let j(z) = z**3 - 4*z**2 + z + 3. Calculate j(g). -3 Let l(a) be the second derivative of 0*a**4 - a**2 + 13*a + 0 + 1/3*a**3 + 1/20*a**5. Calculate l(2). 10 Let a(m) = m**3 - 9*m**2 + 8*m - 4. Let k be a(8). Let g(n) be the third derivative of n**4/12 + n**3/3 + n**2 + 274*n. Calculate g(k). -6 Let v = 11 + -5. Let y be (4/v)/(8/12). Let r(z) = 2*z**3 + 1. Let p be r(y). Let g(h) = 2*h - 2. What is g(p)? 4 Let g(u) = 121*u**2 - 2 - u**3 - 71*u**2 - 54*u**2 + u. Determine g(-5). 18 Let v(u) = u**3 - u**2 - 2. Let n be v(2). Let d(h) = 3 - h - 1 + 6*h - n*h. Suppose 5*x + 12 = -3. Give d(x). -7 Let f(l) = -7*l + 8 - l**2 + 6 - 5 - 1. Calculate f(-8). 0 Suppose 0 = -25*h - 10*h - 140. Let o(p) = -p**3 - 4*p**2 - 3*p - 5. Calculate o(h). 7 Let i(b) = -2*b**3 - 10*b**2 + 2*b + 12. Let h be i(-5). Let v(n) = 2 - 5 + n**h - 2*n - 2*n - 4. Give v(6). 5 Let z(u) = -11*u + 5. Let t(x) = 22*x - 9. Let q(f) = -4*t(f) - 7*z(f). Let h(o) = 7*o - 1. Let k be 63/13 + 40/260. Let i(y) = k*q(y) + 8*h(y). What is i(3)? 0 Let b(y) = -2*y**3 + 28*y**2 + 30*y - 8. Let r be b(15). Let m(p) = -p**2 - 9*p - 12. What is m(r)? -4 Let t be ((-12)/(-9))/(3 + (-118)/42). Let a(l) = -3*l + 24. Give a(t). 3 Let s(y) be the third derivative of y**8/6720 + y**7/360 + y**6/120 + 7*y**5/120 - y**4/4 - 10*y**2. Let x(a) be the second derivative of s(a). Calculate x(-6). 7 Suppose 3*o + 11 = 2*t - 10, -11 = 4*o + 3*t. Let z(b) = b**2 + 5*b + 4. What is z(o)? 4 Let n = -373 - -375. Let w(t) be the third derivative of 0*t - 1/24*t**4 - 7*t**n + 0 - 1/6*t**3 + 1/60*t**5. Give w(-1). 1 Let l = 6 - 5. Suppose k + 3 = l. Let t(c) be the first derivative of -c**3/3 - c - 2. What is t(k)? -5 Let n(f) be the first derivative of 2 + 2/3*f**3 + 0*f + 1/2*f**2. Let v be (-4)/(0 + (-3 - -5)). Calculate n(v). 6 Let a(x) = 6*x**3 + x**2 - x. Let p = 13 + -15. Let i be (-8)/6*9/p. Suppose i*u = 10*u - 4. Give a(u). 6 Let d = 37 + -39. Let p be ((8/6)/d)/((-18)/(-81)). Let u(o) = 2*o**3 + 4*o**2 - o - 1. Give u(p). -16 Suppose -3*k - 103 = -2*a, a + 3*k = 8*k + 55. Let h = -57 + a. Let p(f) = -f**2 - 7*f + 9. Determine p(h). 9 Let n(x) = -5*x + 4. Suppose -9*c + 17*c - 40 = 0. What is n(c)? -21 Let j(v) be the first derivative of 2/3*v**3 + 0*v + 1 + 3/2*v**2. Calculate j(-2). 2 Let t(a) = -4*a**2 + 2*a - 6. Let g(b) = 7*b**2 - 4*b + 10. Let n(w) = -3*g(w) - 5*t(w). Give n(1). 1 Let c(f) = -f**2 - f + 5. Let x be (6 - 11)*4/(-5). Let k be 1 - x/(1 + 3). Determine c(k). 5 Let n(d) = -3*d + 7. Let o be 1/((-2)/22) + (23 - 20). What is n(o)? 31 Let t = 0 - 7. Let a(c) = c**3 + 8*c**2 + 6*c - 8. Determine a(t). -1 Suppose 7*p = 125 - 62. Let l(z) be the first derivative of -3 - 7/3*z**3 - z**2 - p*z - 1/4*z**4. Calculate l(-7). 5 Let y be 36/6 + -5*(0 - -1). Let c(t) = 22*t. Give c(y). 22 Let j(o) = -3 + 7 + 3 - 7 - 2*o. Let c be 21/3 + (1 - 2). Determine j(c). -12 Let v(t) be the first derivative of t**4/4 + 2*t**3/3 - 3*t**2/2 + 4*t - 129. Calculate v(-4). -16 Let z(g) = -5*g + 1. Let f(t) be the second derivative of -t**3 + t**2/2 - 9*t. Let h(q) = 6*f(q) - 7*z(q). Suppose -4*d + 27 = 3. Give h(d). -7 Let y(w) be the second derivative of w**6/360 - 7*w**5/120 + w**4/8 - 8*w**3/3 + 19*w. Let l(a) be the second derivative of y(a). Give l(7). 3 Let j(o) = -11*o**2 - 3*o - 3. Let x(v) = -21*v**2 - 5*v - 5. Let g(w) = w**2 + 8*w - 2. Let a be g(-9). Let s(m) = a*j(m) - 4*x(m). What is s(-1)? 7 Let n(x) = x**2 + 9*x + 8. Let h be n(-4). Let p(q) = 3*q + 30. Let m be p(h). Let d(i) = -i - 1. Calculate d(m). 5 Let n = -1428 - -1430. Let x(c) = -c**3 - c - 1. Calculate x(n). -11 Let p(c) = -c**2 + 7*c + 1. Suppose 2*n - 3*w = -3, 0 = 6*n - n + 3*w - 45. Give p(n). 7 Let z(r) = r**3 + 5*r**2 - 2*r + 5. Let x = 28 - 85. Let k = x - -51. Calculate z(k). -19 Let d(v) = -2. Let i(p) = p + 11. Let x(r) = 6*d(r) + i(r). Calculate x(0). -1 Let p(d) = -58 + 0*d + 60 + d**3 - 4*d - 3*d**2 + d. What is p(4)? 6 Suppose 45 + 39 = -7*d. Let h(u) = -u**3 - 11*u**2 + 14*u + 14. Calculate h(d). -10 Let c(d) = -d**2 + d + 4. Suppose 2*a + 51 = 2*g + 5*a, -2*g + 2*a = -26. Suppose -21 = i - g. Calculate c(i). -8 Let f(k) = 6*k**2 - 2*k - 8. Let b(x) = x**2 + 5 - 4 - 2*x**2. Let n(s) = -5*b(s) - f(s). Calculate n(4). -5 Suppose 25 = -4*h + 9*h. Let p be (3/h)/((-8)/(-40)). Let i(o) = -1 + o + o - p*o + o**2. What is i(-3)? 11 Let n(y) = y**3 + 12*y**2 - y - 17. Suppose 3*d = -3*u - 42, 34 = 16*d - 18*d - 5*u. Calculate n(d). -5 Let p(y) = y + 3. Let c be -37 - (2 + -6 + 8). Let z = 35 + c. Give p(z). -3 Let b(p) = -p**3 + 7*p**2 + p - 7. Let a(g) = 9*g**3 - 2*g + 1. Let q be a(1). Suppose 2*z - 6*z = -q. Suppose 3*m - 14 = m - z*d, 5*m - 35 = -4*d. Give b(m). 0 Let q(l) = -54 + 27 + 27 - 7*l. Let w(v) = -16*v + 1. Let x(s) = 7*q(s) - 3*w(s). Determine x(-2). -1 Let b(l) be the first derivative of l**4/4 + 5*l**3/3 + 7*l**2/2 + 6*l - 79. Determine b(-4). -6 Let q be (-1 + 0)*(17 + -7 - 11). Let p(n) = -5*n**2 - n + 1. Give p(q). -5 Let q(x) = -x**3 + 4*x + 7. Let p(r) = -3*r**3 + r**2 + 11*r + 20. Let s(g) = 6*p(g) - 17*q(g). Suppose 0 = 12*d - 16*d + 12, -4*d + 36 = 4*t. Determine s(t). -11 Let g(p) = 3*p - 1. Let w = -11 + 34. Suppose -4*o + 2*o = 5*f - w, -4*o + 13 = -f. Determine g(f). 8 Let s(f) = 6*f**2 - 7*f - f**2 - 3*f**2 - 7 - f**2. Let b be s(8). Let l(n) = 4*n + 1. Calculate l(b). 5 Let m(w) = -w**2 - 5*w - 1. Let i(v) = 4*v**2 + 20*v + 5. Let z(t) = -2*i(t) - 9*m(t). Let s be 1/((-2)/8)*(-405)/(-324). Calculate z(s). -1 Let f(q) = 2*q + 4. Let w(p) = -p - 4. Let i(n) = -4*f(n) - 5*w(n). Suppose 33*m - 30*m - 18 = 0. Let r = 12 - m. Give i(r). -14 Let q(w) = -w**3 + w + 1. Let u = 35 - 22. Let n = u + -9. Let g(c) = c**2 - 2*c - 6. Let j be g(n). Give q(j). -5 Let b(h) = -2*h**2 + 0*h**2 + 36*h**3 + 1 - 5*h**3. Give b(-1). -32 Let l(d) = 4*d**2 - 8*d + 2. Let g(r) = 9*r + 210. Let b be g(-23). Give l(b). 14 Let w(k) = -12*k + 55. Let a be w(5). Let y(f) = -f**3 - 6*f**2 - 6*f - 6. What is y(a)? -1 Suppose -11*g = -4*g - 77. Suppose 13*w - g*w = -6. Let i(u) be the third derivative of -u**4/12 + u**3/2 + 3*u**2. What is i(w)? 9 Suppose 0 = 1112*z - 1105*z + 7. Let d(p) = -4 + 3 + 7*p**2 - p + 0*p. Determine d(z). 7 Let l(m) = -m + 12. Let b(j) be the third derivative of j**6/120 - j**5/4 + j**4/24 - 3*j**3/2 + 8*j**2. Let z be b(15). Give l(z). 6 Let w(d) = -23*d**2 + 42*d + 40. Let v(n) = -8*n**2 + 14*n + 14. Let k(i) = -17*v(i) + 6*w(i). Determine k(7). 2 Let q be (-3)/(-3*(-2)/(-16)). Let r(t) = 4*t - 11 + q + 0 + 6. Determine r(-4). -13 Let a(k) = -21 + 11*k**2 - 17 + 34 - 10*k**2 + 3*k. What is a(-3)? -4 Let z(k) be the first derivative of -12 - 4*k - 1/3*k**3 + 3*k**2. Give z(6). -4 Let q = 5 + -2. Let v(g) be the first derivative of g**4/4 - g**3 - g + 448. What is v(q)? -1 Let y(b) be the third derivative of 13*b**6/120 - b**4/12 + b**3/6 + 38*b**2. Calculate y(1). 12 Let w(u) = u**3 + 6*u**2 - 2*u - 3. Suppose -l = 16 - 25. Let q = 3 - l. What is w(q)? 9 Let w(f) = -3*f**2 - 5*f - 5. Let i(u) = -2*u**2 - 4*u - 4. Suppose 0 = 2*n + 3 + 7. Let k = 2 + n. Let v(r) = k*w(r) + 4*i(r). Give v(-1). 1 Let s(q) = -q**3 + 4*q**2 + q + 6. Let t be -2 - ((-9)/3)/3. Let y(z) = 4*z**2 + z + 2. Let v be y(t). Calculate s(v). -14 Let i(y) = -y**3 + 3*y**2 + 5*y - 1. Suppose -4*u + 14 = 2. Suppose 4*b = u*b + 4. Calculate i(b). 3 Suppose 4*f + 4*t - 5 = 23, -2*t + 4 = f. Let m(x) = x**3 - 11*x**2 + 5*x + 12. Give m(f). -38 Let t be 36/21 + 4/14. Let p(u) = 16 + 3
{ "pile_set_name": "DM Mathematics" }
culate j. 5, 196 Find f such that 1702*f**2 + 13612*f - 32 = 0. -8, 2/851 Factor 5*i**4 + 16300*i**3 + 13268190*i**2 - 26585300*i + 13300805. 5*(i - 1)**2*(i + 1631)**2 Find y, given that 2*y**4 - 4*y**3 - 8*y**2 + 4*y + 6 = 0. -1, 1, 3 Factor -2*t**3/9 + 10*t**2/9 + 56*t/9 - 64/9. -2*(t - 8)*(t - 1)*(t + 4)/9 Factor -2*n**2 - 6*n - 4. -2*(n + 1)*(n + 2) Solve -4*z**5 - 44*z**4 - 188*z**3 - 388*z**2 - 384*z - 144 = 0. -3, -2, -1 Let -5*v**5/2 - 1004*v**4 - 134268*v**3 - 5961392*v**2 + 2406104*v = 0. What is v? -134, 0, 2/5 Factor -o**2/6 - 188*o/3. -o*(o + 376)/6 Solve 4*g**3 + 20*g**2 - 16*g - 80 = 0 for g. -5, -2, 2 Factor -3*w**4 - 198*w**3 - 3447*w**2 - 5568*w + 9216. -3*(w - 1)*(w + 3)*(w + 32)**2 Find t such that -2*t**3/9 + 1082*t**2/9 + 1084*t/9 = 0. -1, 0, 542 Factor -2*r**2 - 8*r + 42. -2*(r - 3)*(r + 7) Solve -21*o**5 - 228*o**4 - 156*o**3 + 2526*o**2 - 2415*o + 294 = 0 for o. -7, 1/7, 1, 2 Factor 4*q**3 + 24*q**2 + 20*q. 4*q*(q + 1)*(q + 5) Solve 3*n**5 + 531*n**4 + 25269*n**3 + 155757*n**2 + 165240*n - 346800 = 0 for n. -85, -4, 1 Let -2*q**3 + 12*q**2 - 24*q + 16 = 0. What is q? 2 What is g in 2*g**2 + 54*g - 248 = 0? -31, 4 Factor -8*a**2/7 - 40*a/7 - 50/7. -2*(2*a + 5)**2/7 Let 2*p**3/7 - 2*p - 12/7 = 0. Calculate p. -2, -1, 3 Solve 2*t**2/3 + 3740*t/3 + 1748450/3 = 0 for t. -935 Factor -4*l**5 + 36*l**4 - 96*l**3 + 64*l**2. -4*l**2*(l - 4)**2*(l - 1) Factor 3*b**3 - 28*b**2 + 9*b. b*(b - 9)*(3*b - 1) Determine a, given that -2*a**5/9 - 6*a**4 - 28*a**3/3 + 400*a**2/9 = 0. -25, -4, 0, 2 Factor -y**4 + 2*y**3 - 2*y + 1. -(y - 1)**3*(y + 1) Determine c, given that -c**4 - 21*c**3 + 23*c**2 + 21*c - 22 = 0. -22, -1, 1 Solve -40*c**3/13 + 158*c**2/13 + 16*c + 10/13 = 0 for c. -1, -1/20, 5 Factor -3*o**5/2 + 3*o**4 + 12*o**3. -3*o**3*(o - 4)*(o + 2)/2 Factor -5*v**2 - 3270*v + 3275. -5*(v - 1)*(v + 655) Factor l**4/5 - l**3/5 - 2*l**2 + 4*l/5 + 24/5. (l - 3)*(l - 2)*(l + 2)**2/5 Determine v so that -2*v**3/7 - 4*v**2/7 + 22*v/7 + 24/7 = 0. -4, -1, 3 Solve -2*n**5/3 - 16*n**4/3 - 22*n**3/3 + 16*n**2/3 + 8*n = 0. -6, -2, -1, 0, 1 Factor w**2/4 - 14*w + 75. (w - 50)*(w - 6)/4 Determine f, given that 3*f**4/7 - 444*f**3/7 + 24642*f**2/7 - 607836*f/7 + 5622483/7 = 0. 37 Find x, given that -2*x**2/3 - 24*x - 646/3 = 0. -19, -17 Suppose 12*j**4/5 - 8*j**3 - 276*j**2/5 - 48*j + 112/5 = 0. Calculate j. -2, 1/3, 7 Solve 3*q**3/2 - 351*q**2/2 + 10089*q/2 + 10443/2 = 0 for q. -1, 59 Find c such that 55*c**4/4 - 705*c**3/4 - 225*c**2 - 35*c = 0. -1, -2/11, 0, 14 Solve 5*g**2 + 49730*g + 123653645 = 0. -4973 Factor -9*x**3/8 - 29*x**2/8 - 3*x/4. -x*(x + 3)*(9*x + 2)/8 Solve -32*t**4 + 7360*t**3 - 634800*t**2 + 24334000*t - 349801250 = 0 for t. 115/2 Find q such that 112*q**4 - 3432*q**3 + 2175*q**2 - 451*q + 30 = 0. 1/7, 1/4, 30 Determine i, given that 2*i**4 - 6*i**3 - 2*i**2 + 6*i = 0. -1, 0, 1, 3 Factor -4*t**2 + 36*t + 40. -4*(t - 10)*(t + 1) Find v, given that -87*v**5 - 345*v**4 - 249*v**3 + 9*v**2 = 0. -3, -1, 0, 1/29 Factor 5*s**3 + 1020*s**2 - 2055*s + 1030. 5*(s - 1)**2*(s + 206) Solve -2*l**5 - 88*l**4 - 232*l**3 + 604*l**2 + 1194*l - 1476 = 0. -41, -3, 1, 2 Factor -5*b**4 - 35*b**3 - 70*b**2 - 40*b. -5*b*(b + 1)*(b + 2)*(b + 4) Factor -c**4 + 13*c**3 - 19*c**2 - 33*c. -c*(c - 11)*(c - 3)*(c + 1) Factor 3*g**5/4 + 3*g**4/2 - 9*g**3/4 - 3*g**2 + 3*g. 3*g*(g - 1)**2*(g + 2)**2/4 Factor -81*o**3/2 + 1281*o**2/2 - 2472*o - 480. -3*(o - 8)**2*(27*o + 5)/2 Let 2*z**3 + 240*z**2 + 9600*z + 128000 = 0. Calculate z. -40 Determine a, given that -a**4 - 18*a**3 - 117*a**2 - 324*a - 324 = 0. -6, -3 Factor 2*l**3 - 90*l**2 + 804*l + 896. 2*(l - 32)*(l - 14)*(l + 1) Solve 85*h**2 + 7655*h/2 + 225/2 = 0 for h. -45, -1/34 Determine q, given that -5*q**4 - 90*q**3 + 460*q**2 + 360*q - 1760 = 0. -22, -2, 2, 4 Determine k so that -2*k**4/9 + 110*k**3/9 - 574*k**2/3 + 4850*k/9 + 17500/9 = 0. -2, 7, 25 Factor 2*c**2/7 + 360*c/7 + 16200/7. 2*(c + 90)**2/7 Suppose 5*s**5 + 175*s**4 + 1775*s**3 + 4325*s**2 + 4000*s + 1280 = 0. Calculate s. -16, -1 Factor c**2 - 2528*c + 1597696. (c - 1264)**2 Factor r**5/2 + 15*r**4/2 + 13*r**3 - 89*r**2 + 213*r/2 - 77/2. (r - 1)**3*(r + 7)*(r + 11)/2 Find g, given that 3*g**4/4 + 225*g**3/2 + 16419*g**2/4 - 8550*g + 4332 = 0. -76, 1 Suppose -y**4/7 - 13*y**3/7 + 122*y**2/7 + 612*y/7 + 648/7 = 0. What is y? -18, -2, 9 What is w in 2*w**2/3 + 95*w/6 = 0? -95/4, 0 Suppose -12*u**3 + 3169*u**2 - 209352*u + 17424 = 0. Calculate u. 1/12, 132 Factor -16*v**3/3 + 2*v**2/3 + 16*v/3 - 2/3. -2*(v - 1)*(v + 1)*(8*v - 1)/3 Factor d**2 - 4178*d + 4363921. (d - 2089)**2 Determine q, given that -3*q**2 - 1176*q - 2340 = 0. -390, -2 Factor 3*k**4/4 - 429*k**3/4 + 420*k**2 - 417*k. 3*k*(k - 139)*(k - 2)**2/4 Determine l, given that -2*l**3/17 + 2*l**2/17 + 32*l/17 + 40/17 = 0. -2, 5 Find i, given that 4*i**2 - 668*i + 664 = 0. 1, 166 Solve 2*a**4 + 8*a**3 - 2*a**2 - 8*a = 0 for a. -4, -1, 0, 1 Factor 2*x**5/3 + 16*x**4/3 - 6*x**3. 2*x**3*(x - 1)*(x + 9)/3 Factor 3*h**3 + 618*h**2/5 - 1149*h/5 + 516/5. 3*(h - 1)*(h + 43)*(5*h - 4)/5 Factor -3*c**5 - 18*c**4 - 36*c**3 - 30*c**2 - 9*c. -3*c*(c + 1)**3*(c + 3) Factor 2*w**2/15 - 16*w/5 - 58/3. 2*(w - 29)*(w + 5)/15 Factor 5*i**4 + 2265*i**3 + 6750*i**2 - 20*i - 9000. 5*(i - 1)*(i + 2)**2*(i + 450) Find u such that 2*u**2/11 + 42*u/11 - 200/11 = 0. -25, 4 Factor -2*d**3 - 18*d**2 + 240*d - 544. -2*(d - 4)**2*(d + 17) Solve -3*n**3/7 - 24*n**2/7 - 45*n/7 = 0 for n. -5, -3, 0 Suppose h**2/6 - 95*h/3 + 9025/6 = 0. Calculate h. 95 Factor -3*j**5/7 + 3*j**4/7 + 3*j**3/7 - 3*j**2/7. -3*j**2*(j - 1)**2*(j + 1)/7 Solve 2*l**3 - 144*l**2 - 600*l - 608 = 0. -2, 76 Solve 6*n**5 - 62*n**4/3 + 14*n**3/3 + 34*n**2 - 32*n/3 - 40/3 = 0 for n. -1, -5/9, 1, 2 Find p, given that -4*p**5 + 28*p**4 - 36*p**3 - 28*p**2 + 40*p = 0. -1, 0, 1, 2, 5 Determine u, given that -u**3/3 + 13*u**2/3 + 14*u/3 = 0. -1, 0, 14 Suppose -j**4/2 + 11*j**3 + 47*j**2/2 + 12*j = 0. What is j? -1, 0, 24 Factor 5*s**3 + 165*s**2 + 315*s + 155. 5*(s + 1)**2*(s + 31) Let -2*b**4/3 + 32*b**3/3 + 88*b**2 = 0. What is b? -6, 0, 22 Suppose 3*y**5 - 88*y**4/3 + 241*y**3/3 - 230*y**2/3 + 44*y/3 + 8 = 0. What is y? -2/9, 1, 2, 6 Solve 12*s**5/5 + 339*s**4/5 + 312*s**3 + 525*s**2 + 1668*s/5 + 276/5 = 0. -23, -2, -1, -1/4 Solve -4*n**5/15 + 6*n**4/5 + 8*n**3/15 - 24*n**2/5 + 32*n/15 = 0 for n. -2, 0, 1/2, 2, 4 Solve w**3/2 + 35*w**2/2 + 156*w + 414 = 0 for w. -23, -6 Factor 2*r**5 + 14*r**4 - 2*r**3 - 14*r**2. 2*r**2*(r - 1)*(r + 1)*(r + 7) Suppose 12*c**4 - 117*c**3 + 54*c**2 + 237*c + 54 = 0. Calculate c. -1, -1/4, 2, 9 What is z in -2*z**4/3 - 68*z**3/3 - 262*z**2 - 1104*z - 864 = 0? -12, -9, -1 Factor 4*o**3 - 40*o**2. 4*o**2*(o - 10) Factor -21*n**3 + 17*n**2 + 4*n. -n*(n - 1)*(21*n + 4) Solve -a**3/4 - 13*a**2/2 - 209*a/4 - 121 = 0 for a. -11, -4 Solve -2*y**3/11 - 266*y**2/11 + 1372*y/11 - 1104/11 = 0 for y. -138, 1, 4 Suppose -2*d**4/7 + 306*d**3/7 - 304*d**2/7 = 0. Calculate d. 0, 1, 152 Factor -5*q**2 + 1420*q - 100820. -5*(q - 142)**2 Determine i, given that -2*i**3 - 8*i**2 + 10*i = 0. -5, 0, 1 Let -2*r**2/7 - 748*r/7 - 69938/7 = 0. Calculate r. -187 Let -5*t**4 + 180*t**3 - 175*t**2 = 0. What is t? 0, 1, 35 Factor -15*i**5 - 153*i**4 - 405*i**3 - 75*i**2. -3*i**2*(i + 5)**2*(5*i + 1) Factor -s**3 + 71*s**2 + 300*s. -s*(s - 75)*(s + 4) Factor v**2/2 + v/2 - 3. (v - 2)*(v + 3)/2 Factor 3*q**4 + 60*q**3 + 432*q**2 + 1296*q + 1296. 3*(q + 2)*(q + 6)**3 Factor -n**5 + 4*n**4 - 2*n**3 - 4*n**2 + 3*n. -n*(n - 3)*(n - 1)**2*(n + 1) Solve -u**2/3 - 1452*u - 1581228 = 0. -2178 Determine w so that -4*w**5 - 56*w**4 + 2060*w**3 + 35376*w**2 + 64368*w + 31104 = 0. -18, -1, 24 Let 4*p**3/3 + 44*p**2/3 - 588*p + 3132 = 0. What is p? -29, 9 Suppose -3*z**3/4 - 11619*z**2/2 - 15000129*z - 12910111026 = 0. What is z? -2582 Factor -y**3/6 + 11*y**2/6 - 5*y/3. -y*(y - 10)*(y - 1)/6 Find t such that 2*t**3/11 - 28*t**2/11 - 98*t/11 - 68/11 = 0. -2, -1, 17 Let -4*u**3/5 + 1124*u**2/5 - 2232*u/5 = 0. Calculate u. 0, 2, 279 Factor 2*r**4/9 - 1166*r**3/3 + 679778*r**2/3 - 396310574*r/9. 2*r*(r - 583)**3/9 Factor -5*q**4 + 240*q**3 - 1430*q**2 - 34800*q - 105125. -5*(q - 29)**2*(q + 5)**2 Factor -3*k**3 + 135*k**2 - 504*k + 492. -3*(k - 41)*(k - 2)**2 Factor -
{ "pile_set_name": "DM Mathematics" }
353*b + 2)/5 Factor 5*o**3 + 1915*o**2 - 295120*o + 9744540. 5*(o - 62)**2*(o + 507) Factor -5*r**3 + 80*r**2 + 17945*r - 18020. -5*(r - 68)*(r - 1)*(r + 53) Find v, given that v**4 + 295*v**3 + 18216*v**2 = 0. -207, -88, 0 Determine p, given that 8*p**5/11 + 2*p**4 - 202*p**3/11 + 252*p**2/11 = 0. -7, 0, 2, 9/4 Suppose 722*c**4/7 - 15390*c**3/7 + 11826*c**2 - 25002*c/7 + 1944/7 = 0. What is c? 3/19, 9, 12 What is v in -18*v**5/5 - 434*v**4/5 + 944*v**3/5 + 1488*v**2/5 - 1952*v/5 - 416 = 0? -26, -10/9, -1, 2 Find r such that -16*r**3 - 177612*r**2 - 492795576*r + 616272020 = 0. -5551, 5/4 Determine p, given that -5*p**2 - 7310*p + 44040 = 0. -1468, 6 Factor m**2 + 1160922*m + 336934972521. (m + 580461)**2 Find h such that 243*h**2/4 - 152793*h + 96072843 = 0. 11318/9 Let p**4/5 - 28*p**3/5 + 276*p**2/5 - 1152*p/5 + 1728/5 = 0. Calculate p. 4, 6, 12 Factor -2*n**2/7 - 494*n/7 - 5640/7. -2*(n + 12)*(n + 235)/7 What is p in 2*p**2 + 182880*p + 4180636800 = 0? -45720 Suppose -72*k**2/5 + 3015192*k/5 - 31567301378/5 = 0. Calculate k. 125633/6 Find i such that -4*i**4 + 480*i**3 + 4044*i**2 + 6632*i + 3072 = 0. -6, -1, 128 Find b, given that -b**2/2 + 21157*b/2 + 52905 = 0. -5, 21162 Factor 60*l**3 - 2528*l**2 - 13764*l + 1880. 4*(l - 47)*(l + 5)*(15*l - 2) Factor 4*c**2 + 552*c + 6048. 4*(c + 12)*(c + 126) Factor l**4 + 555*l**3 + 3303*l**2 + 4945*l + 2196. (l + 1)**2*(l + 4)*(l + 549) Find p such that p**4/6 - 23720*p**3/3 + 281295479*p**2/3 + 187554040*p + 187561947/2 = 0. -1, 23721 Solve -62*o**5/5 - 44086*o**4/15 - 1146076*o**3/5 - 5639488*o**2 + 56775680*o/3 + 409600 = 0. -80, -2/93, 3 Find y, given that -585*y**2 + 93599*y + 160 = 0. -1/585, 160 Factor m**2/2 - 1967*m + 3932. (m - 3932)*(m - 2)/2 Let -5*x**5 + 815*x**4 + 8575*x**3 + 13025*x**2 - 8570*x - 13840 = 0. Calculate x. -8, -2, -1, 1, 173 Factor -3*m**2 + 67602*m - 337935. -3*(m - 22529)*(m - 5) Determine p, given that -3*p**5/4 + 9*p**4/2 + 1320*p**3 + 29088*p**2 + 236544*p + 663552 = 0. -16, -8, 54 Let -2*z**3/7 - 84*z**2 - 42586*z/7 - 43440 = 0. What is z? -181, -105, -8 Factor -s**3 - 742*s**2 + 2239*s + 2980. -(s - 4)*(s + 1)*(s + 745) Factor 4*z**2/7 - 354364*z/7 - 708744/7. 4*(z - 88593)*(z + 2)/7 Factor -4*h**4 + 68*h**3 + 904*h**2 + 832*h. -4*h*(h - 26)*(h + 1)*(h + 8) Suppose 104*b**5 + 394*b**4 - 1753*b**3 - 6308*b**2 + 1424*b + 64 = 0. What is b? -4, -1/26, 1/4, 4 Factor j**4/3 - 156*j**3 + 928*j**2 - 5552*j/3 + 1232. (j - 462)*(j - 2)**3/3 Let 20*m**4 - 18172*m**3 - 7292*m**2 + 18172*m + 7272 = 0. What is m? -1, -2/5, 1, 909 Determine u so that u**2/5 + 54804*u/5 + 54803/5 = 0. -54803, -1 Factor -4*v**2/7 - 5895784*v/7 - 2172516810916/7. -4*(v + 736973)**2/7 Factor -4*y**2 - 2624*y - 168192. -4*(y + 72)*(y + 584) Factor -j**2 - 751466*j - 141175287289. -(j + 375733)**2 Suppose -2*p**4/3 - 36*p**3 - 154*p**2 + 1372*p/3 = 0. Calculate p. -49, -7, 0, 2 Solve -2*w**4/9 - 92*w**3/3 - 90*w**2 = 0. -135, -3, 0 Factor 3*r**5 - 1041*r**4 + 88725*r**3 + 275625*r**2. 3*r**2*(r - 175)**2*(r + 3) Solve 3*f**2 + 31671*f = 0 for f. -10557, 0 Determine r, given that 5*r**3 + 22375*r**2 + 25087875*r + 124880625 = 0. -2235, -5 Factor -7*m**4/9 + 43489*m**3/9 + 4142*m**2/3. -m**2*(m - 6213)*(7*m + 2)/9 Factor -4*a**3/5 - 89588*a**2/5 - 501580812*a/5 + 501670404/5. -4*(a - 1)*(a + 11199)**2/5 Determine w so that 2*w**3 + 620*w**2 + 55096*w + 1048528 = 0. -142, -26 What is i in 2*i**4 + 134*i**3 + 376*i**2 - 512*i = 0? -64, -4, 0, 1 Find x, given that -2*x**4/9 - 39032*x**3/9 - 187606088*x**2/9 + 3069476480*x - 111316492800 = 0. -9830, 72 Determine k so that k**3/5 + 626*k**2/5 - 6416*k/5 - 35616/5 = 0. -636, -4, 14 Let -2*q**4/9 - 4832*q**3/9 - 988792*q**2/3 - 57714848*q/9 - 183706112/9 = 0. Calculate q. -1198, -16, -4 Factor -2*y**3/11 - 1064*y**2/11 + 360490*y/11. -2*y*(y - 235)*(y + 767)/11 Factor -2*d**2/11 - 33424*d/11. -2*d*(d + 16712)/11 Suppose 4*v**4 - 40*v**3 - 4412*v**2 - 4368*v = 0. What is v? -28, -1, 0, 39 Factor 44*t**3 - 26232*t**2 + 30948*t - 4760. 4*(t - 595)*(t - 1)*(11*t - 2) Factor -4*t**3 - 236*t**2 + 11040*t - 10800. -4*(t - 30)*(t - 1)*(t + 90) Let 2*o**2/9 + 180652*o/9 + 722576/9 = 0. What is o? -90322, -4 Determine j, given that -9*j**5/2 - 87*j**4 - 84*j**3 + 456*j**2 + 408*j - 432 = 0. -18, -2, 2/3, 2 Let -14*n**5/9 - 22*n**4/3 - 106*n**3/9 - 62*n**2/9 + 8/9 = 0. What is n? -2, -1, 2/7 Solve -2*y**3/11 - 6964*y**2/11 + 6970*y/11 + 13932/11 = 0. -3483, -1, 2 Let 2*r**3 - 10020*r**2 + 713664*r - 12799296 = 0. Calculate r. 36, 4938 Find j, given that -j**5/2 - 180*j**4 - 1907*j**3 + 4356*j**2 - 4537*j/2 = 0. -349, -13, 0, 1 Solve w**2/4 - 18997*w/2 - 37995/4 = 0. -1, 37995 Solve k**5/3 - 163*k**4/3 + 9049*k**3/3 - 62719*k**2 + 290610*k + 356400 = 0. -1, 8, 45, 66 Determine j so that 4*j**2/3 + 8495*j/3 - 708 = 0. -2124, 1/4 Factor -2*u**2/7 + 298*u - 18612/7. -2*(u - 1034)*(u - 9)/7 Find o such that -o**5 + 1282*o**4 - 26628*o**3 + 185710*o**2 - 432523*o = 0. 0, 7, 1261 What is y in 4*y**2 - 4668*y + 13968 = 0? 3, 1164 Let m**5/3 - 106*m**4/3 + 722*m**3 + 15216*m**2 - 191349*m + 175446 = 0. Calculate m. -18, 1, 9, 57 Factor 4*y**2/5 - 167972*y/5 - 167976/5. 4*(y - 41994)*(y + 1)/5 Factor j**4/2 - 227*j**3 - 1858*j**2 + 4620*j. j*(j - 462)*(j - 2)*(j + 10)/2 Determine u so that 5*u**2 - 2200*u - 8880 = 0. -4, 444 Determine i so that 5*i**3 - 565*i**2 + 9240*i + 413820 = 0. -19, 66 Factor -j**4 + 648*j**3 + 11880*j**2 + 71712*j + 143856. -(j - 666)*(j + 6)**3 Factor x**2 + 339*x - 42292. (x - 97)*(x + 436) Determine i, given that -i**3/10 + 11*i**2/2 + 1593*i/5 - 324 = 0. -36, 1, 90 Factor 30*z**3 - 1165*z**2 + 945*z + 190. 5*(z - 38)*(z - 1)*(6*z + 1) Factor r**3/3 + 1321*r**2/3 + 10520*r/3 + 21008/3. (r + 4)**2*(r + 1313)/3 Solve -495*f**5/2 - 2765*f**4/2 - 2725*f**3 - 2250*f**2 - 740*f - 80 = 0 for f. -2, -1, -4/11, -2/9 Let 10*d**5 - 1605*d**4 + 5540*d**3 - 7090*d**2 + 3930*d - 785 = 0. What is d? 1/2, 1, 157 Factor -11*g**3/3 - 3994*g**2/3 - 121*g. -g*(g + 363)*(11*g + 1)/3 Determine t so that -64*t**5 + 96096*t**4 + 433340*t**3 + 584184*t**2 + 216848*t + 24096 = 0. -2, -1/4, 1506 Determine m so that -2*m**4/11 + 258*m**3 - 1008198*m**2/11 + 1005362*m/11 = 0. 0, 1, 709 Factor 4*m**3/7 + 1392*m**2/7 + 118989*m/7 - 369603/7. (m - 3)*(2*m + 351)**2/7 Factor -5*z**2 + 23930*z + 47880. -5*(z - 4788)*(z + 2) Determine v, given that -5*v**3 - 290*v**2 - 1525*v + 1820 = 0. -52, -7, 1 Factor -51*t**5 + 2952*t**4 - 36480*t**3. -3*t**3*(t - 40)*(17*t - 304) Factor u**5 + 21*u**4 - 969*u**3 + 1871*u**2 - 924*u. u*(u - 21)*(u - 1)**2*(u + 44) Factor 4*v**3 + 5600*v**2 + 408272*v + 7647424. 4*(v + 38)**2*(v + 1324) Solve 73947*p**3/7 - 471*p**2 - 57072*p/7 + 20172/7 = 0. -1, 82/157 Factor 2*i**3 - 95040*i**2 + 190066*i + 285108. 2*(i - 47518)*(i - 3)*(i + 1) Let -4*z**2 + 2704*z + 24660 = 0. Calculate z. -9, 685 Suppose 7*c**5/8 + 929*c**4/8 + 3381*c**3/8 + 3487*c**2/8 + 64*c - 129/2 = 0. Calculate c. -129, -2, -1, 2/7 Solve 2*y**3/7 - 4472*y**2/7 - 443136*y/7 - 10745856/7 = 0 for y. -48, 2332 Find l such that 4*l**3/5 - 148*l**2/5 + 28*l + 980 = 0. -5, 7, 35 Factor 3*p**4/5 - 909*p**3 - 4560*p**2. 3*p**2*(p - 1520)*(p + 5)/5 Determine h, given that -4*h**4 + 3539*h**3 - 116007*h**2 + 954533*h + 245939 = 0. -1/4, 17, 851 Factor 166*n**3 - 324*n**2 - 5826*n - 280. 2*(n - 7)*(n + 5)*(83*n + 4) Factor -2*j**2/3 + 346*j/3 - 3288. -2*(j - 137)*(j - 36)/3 Determine a, given that -10*a**3 + 64*a**2 - 114*a + 36 = 0. 2/5, 3 Suppose -2*j**2 + 1940*j + 19600 = 0. What is j? -10, 980 Solve 3*b**5 - 111*b**4 - 507*b**3 + 507*b**2 + 4320*b + 4428 = 0. -3, -2, 3, 41 Factor -2*m**2/7 + 47048*m/7. -2*m*(m - 23524)/7 Suppose 2*o**2/9 + 8282*o/9 + 41360/9 = 0. What is o? -4136, -5 Solve -3*n**4/7 + 2775*n**3 + 58377*n**2/7 - 485913*n/7 + 58302 = 0 for n. -7, 1, 3, 6478 Find h, given that -3*h**3 + 693*h**2 - 39228*h - 81252 = 0. -2, 111, 122 Factor 3*v**4 + 3423*v**3 + 964320*v**2 - 6918996*v. 3*v*(v - 7)*(v + 574)**2 Factor -3*m**3/4 - 51*m**2/4 + 138*m - 300. -3*(m - 4)**2*(m + 25)/4 Suppose 5*o**3 - 840*o**2 - 7875*o - 15930 = 0. Calculate o. -6, -3, 177 Suppose n**3 + 91*n**2 - 2129*n + 10101 = 0. Calculate n. -111, 7, 13 Factor 5*o**4 - 255*o**3 + 1375*o**2 - 1125*o. 5*o*(o - 45)*(o -
{ "pile_set_name": "DM Mathematics" }
g order. r, -1, i Suppose 19 + 5 = 3*h. Suppose -3*i + h*i + 4*k = -20, -k = i + 4. Put 2, i, -1 in ascending order. i, -1, 2 Let w be (-2 + -2)/(1 - 0). Let v = -41 - -48. Suppose -4*q + 18 = 2*a, -2*a + 2*q + v = 19. Sort w, 3, a in increasing order. w, a, 3 Let d = 13.498 - 12.498. Let x be (-1)/(1/((-2)/14)). Put -0.2, x, d, 1/4 in ascending order. -0.2, x, 1/4, d Let d = 64 + -64.3. Sort 5, -1/12, d. d, -1/12, 5 Let w(t) = -t - 8. Let f be w(-11). Suppose -g = -3*o + f*g - 13, -2*o + g = 2. Let d = o + -6. Put d, 2, -4 in ascending order. d, -4, 2 Suppose -187*j = -196*j + 27. Let u(g) = g**3 + 5*g**2 + 5*g + 2. Let q be u(-4). Put q, 13, -3, j in decreasing order. 13, j, q, -3 Let w(v) = -v**3 + 7*v**2 - 7*v + 3. Let a be w(6). Let b(s) = -4*s + 3*s + 1 - s + 15. Let z be b(7). Put a, 3, z in decreasing order. 3, z, a Let y = 17 - 12. Suppose 2 = -13*c - 11. Put y, 0, c in descending order. y, 0, c Let h(b) = -178*b + 5164. Let l be h(29). Let s = 4 + 0. Sort s, l, -5 in descending order. s, l, -5 Let f = 15983717 - 81756712816/5115. Let j = 1/165 + f. Put 0.5, 3, j in ascending order. j, 0.5, 3 Let r be -165*(14/3 + -3 + -2). Sort r, -1, 0, 1 in descending order. r, 1, 0, -1 Let b(i) = -i - 1. Let v = 21 + -14. Let j be (v - 5) + (0 - -1). Let l be b(j). Sort l, 1, 5. l, 1, 5 Let l(i) = -31*i - 2. Let v be l(-2). Let b be 8/(-30)*(-50)/v. Let r = -533/5 - -107. Put r, -0.2, b in decreasing order. r, b, -0.2 Suppose -4*q + 1 = 9, -3*c - 13 = -q. Sort -9, 5, c. -9, c, 5 Let i = -301/12 - -25. Suppose -6*h + 63 = -5*h + 5*o, -2*o - 288 = -5*h. Let u = h + -172/3. Put i, -1, u in decreasing order. u, i, -1 Let m be (84/(-63))/((-92)/(-6)). Sort -1, m, 1, 2 in decreasing order. 2, 1, m, -1 Let z be 0/4 - (0 + 6). Let l = 1 - 0.9. Suppose 2*t + 5*y = 8, -28*y = 3*t - 25*y - 12. Sort t, l, z in descending order. t, l, z Let w(f) = f**2 + 5*f + 3. Let l be w(-2). Let z be (-2 - -1)*0/8. Suppose -n + z*n = -4. Put n, l, 0 in decreasing order. n, 0, l Let a = -5 + 3. Suppose -16*n - 4 = 4*v - 14*n, 2*v = -3*n - 2. Sort v, -6, a in descending order. v, a, -6 Let r = -10.73 - 0.27. Let q = -6 - r. Sort -1, -0.4, q in descending order. q, -0.4, -1 Suppose 605 - 533 = -8*y. Let k(x) be the second derivative of x**4/6 - 5*x**3/6 + x**2 - 2*x. Let s be k(3). Put y, s, 2 in decreasing order. s, 2, y Let q(l) = l**2 - 8*l + 7. Let g be q(6). Let r(b) = b**2 - 11*b. Let z be r(11). Suppose -3*y + 4 + 5 = z. Sort -0.5, y, g in decreasing order. y, -0.5, g Let q(j) = j**3 + j**2 + 13*j + 31. Let o be q(-2). Sort 0, 4, o, -3 in descending order. 4, o, 0, -3 Suppose -s - 12 = -4*s. Suppose 0 = s*u + 16, 2*g - u - 14 = u. Suppose 0 = 5*f - 17 - 3. Sort -2, f, g in increasing order. -2, g, f Let t be (46 - 48)/((-1)/2). Put -1, t, -61 in decreasing order. t, -1, -61 Let n be 478/120 + (-10 - -3)/21. Let a = n - 17/5. Sort -3, 0, a, 3/2 in increasing order. -3, 0, a, 3/2 Let u = -523/4 - -130. Let d = -1723/8 - -215. Let g = -0.21 - 0.09. Put g, d, u in increasing order. u, d, g Let d = 248/1851 - 2/3085. Sort d, -1/10, -1/3 in descending order. d, -1/10, -1/3 Let a be 14/77 + ((-1068)/66 - -5). Put -2, 5, a, 1 in decreasing order. 5, 1, -2, a Let a(d) = 2*d**3 + 38*d**2 + 40*d + 18. Let s be a(-18). Sort s, -2, 0, -4 in descending order. 0, -2, -4, s Let h = -0.49 - 45.51. Let o = -44 - h. Sort -6, 0, o in descending order. o, 0, -6 Let y be (1 - -3) + -1 + 0. Suppose -5 = -p - y. Let v = -18 + 17. Put v, p, -5 in ascending order. -5, v, p Suppose -4*n = 4*o - 12, -2*o - 3*n - n = -12. Suppose -a + 12 = -5*a. Let m = -350 - -344. Put o, a, m in increasing order. m, a, o Suppose 3*w + 4 = -f - 2, 9 = -f - 4*w. Let y be (6/(-7))/(15/(-70)). Sort f, y, 0. 0, f, y Suppose 28 - 8 = 5*o. Suppose -5*v - 4*x - 1 = -3, o*x = -4*v. Suppose -2*r - 2 = -r + 2*n, 5*r - 5*n = -10. Sort r, v, 4 in increasing order. r, v, 4 Let y(j) be the first derivative of j**2/2 + j + 7. Let r be y(-3). Put 0.18, -1/4, r in descending order. 0.18, -1/4, r Let f = 29.76 - 0.26. Let w = 29 - f. Sort w, 0.1, -2/19. w, -2/19, 0.1 Suppose 0*d - d - 3*u - 10 = 0, 4*u = 3*d - 22. Let o be d*((-2)/(-1) + -4 - 17). Sort 1, -4, -5, o in increasing order. o, -5, -4, 1 Suppose 1 = -3*t + 2*t, 2*r - 3*t - 13 = 0. Let s be (-3 - -6)/(0 - 2/(-6)). Suppose 6*h = s*h + 3. Sort r, h, -5 in decreasing order. r, h, -5 Let d(j) = -4*j**3 - 4*j**2 - 6*j - 5. Let m be d(-2). Suppose -25*p = -m*p + 48. Sort p, 4, -4 in descending order. 4, -4, p Suppose -5*s - 3 = -4*s. Let t = -777 + 779. Put t, s, -4 in descending order. t, s, -4 Suppose -7*w = w - 48. Suppose 0 = w*r - 2*r - 56. Suppose 0 = r*o - 19*o + 10. Put o, -3, -1 in decreasing order. o, -1, -3 Suppose 3*m - 12 = -0. Suppose -4*p = -3*d + m, -5*p = -d + 18 - 2. Suppose 0 = 11*w + 7 + 4. Put d, -6, w in descending order. w, d, -6 Let x = 2024 + -2018. Sort x, 2, 7, -7 in decreasing order. 7, x, 2, -7 Suppose 2*n - 10 = -0, t + n = 7. Suppose 6*h - d + 62 = h, 2*d = -4*h - 58. Put 5, -1, h, t in ascending order. h, -1, t, 5 Let m be (16 + 74)/((-6)/4). Let p be (8/m - -1) + -1. Put p, 1/12, 5 in descending order. 5, 1/12, p Suppose 0*f + 10 = 2*f. Suppose 0*n + f*n = 0. Suppose -2*q - 4 = -2. Put q, n, -5 in increasing order. -5, q, n Let w = -0.7039 + -0.0821. Let c = w - 0.014. Put c, -0.5, -1 in descending order. -0.5, c, -1 Let c(t) = 9*t**3 - 3*t + 3. Let u be c(1). Suppose -2*z = -13 + u. Put -15, 0, z in descending order. z, 0, -15 Suppose 130 = 5*d + 3*o, -4*o + 10 = -2*o. Suppose -3*t = 5*a + 26, -4*t - a + 6*a = d. Put 1, 0, t in decreasing order. 1, 0, t Let v = 73 - 51. Suppose v*c - 9 = 19*c. Suppose 3*q = -c*i - 6, -4*i + 2*q + 9 + 1 = 0. Sort 2/3, i, 0.5. 0.5, 2/3, i Let x(r) = 14*r + 166. Let y be x(-12). Suppose 10 = -4*n - 6. Put n, -5, 0, y in decreasing order. 0, y, n, -5 Suppose -r - 8 = -5*r, 4*k - 2*r = -36. Let p = k + 13. Put -2, p, -4 in ascending order. -4, -2, p Let d(p) = -3*p**3 + 6*p - 1. Let b be d(0). Sort b, 5, 19, 4 in descending order. 19, 5, 4, b Suppose -4*y = -3*y + 4, y + 8 = 2*t. Suppose -2*d - 11 = -d + 3*m, -5*m - 18 = t*d. Sort -0.1, -3/8, d. -3/8, -0.1, d Let b = -1792 - -2716. Let w be (-322)/b + (-2)/(-11). Put -18, w, -2 in descending order. w, -2, -18 Suppose 2*k - 5*k - 6 = 0. Let i(c) = -c**3 + 25*c**2 - 25*c + 21. Let n be i(24). Let a be (4/4 - n) + -3. Sort k, a, 3 in decreasing order. 3, a, k Let a be 2/(-5)*(5 + 0). Let d = 6 + -6. Let n be ((-2)/6)/(2/(-18)). Put n, a, d in increasing order. a, d, n Let h = -2188 - -2187.6. Suppose -1 = r + 9. Let i = 19/2 + r. Put -1/6, h, i in ascending order. i, h, -1/6 Suppose -5*d = -9 - 11. Let g(s) = s**3 - 7*s**2 + s - 5. Let m = -20 + 27. Let y be g(m). Put y, d, -5 in descending order. d, y, -5 Let c be (-24)/(-9)*(5265/18)/15. Sort c, 4, 2, 3. 2, 3, 4, c Let z = -6/307 - -632/921. Sort 72, 1/9, z in increasing order. 1/9, z, 72 Let l be -10 - -5 - 11*5. Sort -1, 5, l. l, -1, 5 Suppose -2*s = 2*p - 2, -1 - 6 = -s + 5*p. Suppose 10*c + 51 = -19. Put s, c, 5, 1 in decreasing order. 5, s, 1, c Suppose -2*o - 29 = -3*q + 68, -2*o - 5*q - 89 = 0. Sort -3, 2, o. o, -3, 2 Let q = -2.1 - -2.16. Put q, 4, -4/5, -5 in descending order. 4, q, -4/5, -5 Let i = -2 + 9. Suppose -a = -3*a + 6. Suppose -a*z - 4*l + 31 = 0, -3*l - 2*l = -5*z + 5. Sort i, z, 0 in ascending order. 0, z, i Let v = 19 - 2. Let b = v + -16.7. Sort b, -3, -3/4 in descending order. b, -3/4, -3 Let r(t) = 7*t**2 + 14*t + 28. Let y be r(-2). Suppose 18*a = 4*a - y. Sort a, 1, -1, 2 in ascending order. a, -1, 1, 2 Let p = -424 + 427. Sort p, 1, 49 in ascending order. 1, p, 49 Let n(l) = -l**3 - 12*l**2 + 12*l - 3. Suppose -7*q = -4*q + 39. Let i be n(q). Let z = -6 + i. Put 1, -4, z in increasing order. -4, 1, z Let q = 440 - 432. Let n be (-1)/(-3) - 20/6. Put 4, n, q in increasing order. n, 4, q Suppose 18*z - 5655 = 33*z. Sort z, -3, 2. z, -3, 2 Let u be 39/60 - ((-48)/15)/(-8). Sort u, 2/7, -2/3, 4. -2/3, u, 2/7, 4 Let d be 15*(4 - (-96)/(-5)). Let j be d/432 + 3/4. Sort 0.3, -1, j in increasing order. -1, j, 0.3 Let h = 0.05 - -2.95. Let x = 49 + 39. Let r = -88 + x. Sort -0.2, r, h in descending order. h, r, -0.2 Let j = -29/2 + 13. Suppose 1 = -2*h - 3. Sort h, 4, 2/3, j in ascending ord
{ "pile_set_name": "DM Mathematics" }
the fifth root of 3746244461 to the nearest integer? 82 What is the seventh root of 638069045 to the nearest integer? 18 What is 111022032 to the power of 1/6, to the nearest integer? 22 What is 102299393 to the power of 1/3, to the nearest integer? 468 What is the fourth root of 2546594759 to the nearest integer? 225 What is the third root of 2755785040 to the nearest integer? 1402 What is 3243831 to the power of 1/3, to the nearest integer? 148 What is the third root of 174327519 to the nearest integer? 559 What is the square root of 144990954 to the nearest integer? 12041 What is the fourth root of 118793313 to the nearest integer? 104 What is the third root of 1346217084 to the nearest integer? 1104 What is the tenth root of 418171410 to the nearest integer? 7 What is the seventh root of 786204627 to the nearest integer? 19 What is the ninth root of 51675419 to the nearest integer? 7 What is 227083513 to the power of 1/2, to the nearest integer? 15069 What is the third root of 72096162 to the nearest integer? 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37849 What is the eighth root of 151338040 to the nearest integer? 11 What is the cube root of 30900615 to the nearest integer? 314 What is the cube root of 137469458 to the nearest integer? 516 What is 625107979 to the power of 1/2, to the nearest integer? 25002 What is 78610781 to the power of 1/2, to the nearest integer? 8866 What is the cube root of 769368081 to the nearest integer? 916 What is 305500770 to the power of 1/6, to the nearest integer? 26 What is the square root of 3854052030 to the nearest integer? 62081 What is 6333304222 to the power of 1/2, to the nearest integer? 79582 What is 2165506189 to the power of 1/8, to the nearest integer? 15 What is the eighth root of 6684657414 to the nearest integer? 17 What is the cube root of 608610789 to the nearest integer? 847 What is the square root of 43759202 to the nearest integer? 6615 What is the square root of 210277849 to the nearest integer? 14501 What is the fourth root of 599169439 to the nearest integer? 156 What is the square root of 6081290118 to the nearest integer? 77983 What is 861837658 to the power of 1/2, to the nearest integer? 29357 What is the fifth root of 19030429 to the nearest integer? 29 What is 1739866362 to the power of 1/2, to the nearest integer? 41712 What is the square root of 72161282 to the nearest integer? 8495 What is 111843065 to the power of 1/2, to the nearest integer? 10576 What is the square root of 64272857 to the nearest integer? 8017 What is 82723520 to the power of 1/2, to the nearest integer? 9095 What is 231188 to the power of 1/3, to the nearest integer? 61 What is the cube root of 136581605 to the nearest integer? 515 What is the fourth root of 36807453 to the nearest integer? 78 What is the cube root of 115607355 to the nearest integer? 487 What is 47072461 to the power of 1/2, to the nearest integer? 6861 What is 1131009990 to the power of 1/8, to the nearest integer? 14 What is 1212504256 to the power of 1/3, to the nearest integer? 1066 What is 48749779 to the power of 1/10, to the nearest integer? 6 What is the third root of 51734446 to the nearest integer? 373 What is 294412691 to the power of 1/4, to the nearest integer? 131 What is 393499439 to the power of 1/3, to the nearest integer? 733 What is 45543901 to the power of 1/7, to the nearest integer? 12 What is the fourth root of 20157973 to the nearest integer? 67 What is the third root of 4658912536 to the nearest integer? 1670 What is 52288636 to the power of 1/4, to the nearest integer? 85 What is the square root of 38450556 to the nearest integer? 6201 What is the cube root of 197054545 to the nearest integer? 582 What is the cube root of 638178338 to the nearest integer? 861 What is 297991831 to the power of 1/3, to the nearest integer? 668 What is the tenth root of 118537290 to the nearest integer? 6 What is 2619032795 to the power of 1/3, to the nearest integer? 1378 What is the square root of 3191560285 to the nearest integer? 56494 What is the eighth root of 1446900486 to the nearest integer? 14 What is 885122602 to the power of 1/4, to the nearest integer? 172 What is the cube root of 4412380945 to the nearest integer? 1640 What is the third root of 1751219098 to the nearest integer? 1205 What is 1154301150 to the power of 1/5, to the nearest integer? 65 What is 1558784645 to the power of 1/5, to the nearest integer? 69 What is the eighth root of 74699835 to the nearest integer? 10 What is the square root of 1032346158 to the nearest integer? 32130 What is 24027414 to the power of 1/2, to the nearest integer? 4902 What is the cube root of 156808599 to the nearest integer? 539 What is 34080774 to the power of 1/2, to the nearest integer? 5838 What is the square root of 28352140 to the nearest integer? 5325 What is the cube root of 1317603141 to the nearest integer? 1096 What is 25803621 to the power of 1/2, to the nearest integer? 5080 What is the square root of 3840532696 to the nearest integer? 61972 What is 10036698 to the power of 1/6, to the nearest integer? 15 What is the eighth root of 37486579 to the nearest integer? 9 What is the third root of 726341499 to the nearest integer? 899 What is 1182727269 to the power of 1/3, to the nearest integer? 1058 What is the square root of 553405974 to the nearest integer? 23525 What is 51675389 to the power of 1/5, to the nearest integer? 35 What is the third root of 175688374 to the nearest integer? 560 What is the third root of 4290696223 to the nearest integer? 1625 What is the cube root of 16573954 to the nearest integer? 255 What is 632389467 to the power of 1/2, to the nearest integer? 25147 What is the fifth root of 304785491 to the nearest integer? 50 What is 23184381 to the power of 1/5, to the nearest integer? 30 What is the cube root of 355575243 to the nearest integer? 708 What is the square root of 55224429 to the nearest integer? 7431 What is 1680949230 to the power of 1/2, to the nearest integer? 40999 What is 38563239 to the power of 1/7, to the nearest integer? 12 What is 38593643 to the power of 1/8, to the nearest integer? 9 What is 74673210
{ "pile_set_name": "DM Mathematics" }
(a) -1/7 (b) 2/7 (c) 2 (d) -5 d What is the smallest value in 7/76, -1, 3? -1 Which is the smallest value? (a) -0.6 (b) 1/4 (c) -1/4 (d) 1.2 a What is the fourth biggest value in 3/7, 1, -1, 0.043? -1 Which is the second smallest value? (a) -1/5 (b) -0.004 (c) 1/5 (d) 4 b What is the second smallest value in 1, 0.2, 61? 1 Which is the smallest value? (a) 5 (b) 114/5 (c) -3 c What is the second biggest value in -3, -1, 4? -1 Which is the second smallest value? (a) -2/5 (b) 5 (c) 5.3 b What is the second biggest value in -2/9, 0.3, 2/5, 0.0617, -2? 0.3 Which is the smallest value? (a) -15 (b) -166 (c) 5 b Which is the smallest value? (a) -1 (b) -0.5 (c) 0.2 (d) -4 d Which is the third biggest value? (a) -2 (b) -489 (c) -4 b Which is the second biggest value? (a) 0 (b) -26 (c) -1/5 c Which is the smallest value? (a) 0 (b) 1 (c) -1 (d) 327 c Which is the third smallest value? (a) 4 (b) -2/5 (c) 3/2 (d) -2 (e) -4 b What is the smallest value in 0.5, 2/43, -1/3? -1/3 Which is the second biggest value? (a) 16 (b) -0.06 (c) 1/2 (d) 0.05 (e) -1/2 c Which is the smallest value? (a) -0.07 (b) -0.2 (c) -37 c Which is the third smallest value? (a) -24 (b) -65 (c) -5/4 c Which is the third biggest value? (a) -6 (b) 4 (c) -14 c Which is the third smallest value? (a) -2/9 (b) -29 (c) -2 (d) 0 a Which is the second biggest value? (a) 0.06 (b) -2 (c) 1/6 (d) 7 (e) -1/5 c Which is the second smallest value? (a) 152 (b) 1 (c) 0.5 (d) 4 (e) -4/5 c Which is the third smallest value? (a) -9 (b) 9/4 (c) -0.3 b Which is the third biggest value? (a) -0.06 (b) 21 (c) -2 c Which is the biggest value? (a) 2/7 (b) 14/3 (c) -4 b What is the third smallest value in 0.1, -3, 2/7, 0? 0.1 What is the smallest value in 5, 3/7, 1/2? 3/7 What is the second smallest value in 3, -109, 0.1, 5/4? 0.1 What is the smallest value in -5, -9, -0.204, 0? -9 What is the second smallest value in 4, 7.65, -0.1, -4, -0.3? -0.3 Which is the fifth smallest value? (a) 27 (b) -5 (c) -2 (d) 5 (e) -0.1 a Which is the second smallest value? (a) -4 (b) 5/4 (c) 2/11 (d) 1 (e) 2/5 c Which is the biggest value? (a) 5055 (b) 0 (c) 5 a Which is the third biggest value? (a) -6 (b) 1/12 (c) -2 a Which is the third smallest value? (a) 64 (b) -0.4 (c) -4 (d) 2/9 d What is the second biggest value in -1, -1/2, -15, -0.3? -1/2 Which is the third smallest value? (a) -1 (b) 0.04 (c) 1 (d) 5 (e) -5 b What is the third biggest value in -182, 0.2, -3? -182 What is the fourth biggest value in 8, -3/7, 1/2, -5, -33/5? -5 What is the biggest value in -0.15, -1/6, -1, -2/23? -2/23 What is the third biggest value in -1/5, 3/4, 0.3, 6? 0.3 Which is the second biggest value? (a) -2 (b) 2/9 (c) -0.06 (d) -4 (e) 0.3 b Which is the fourth smallest value? (a) 0.042 (b) 1.2 (c) 0.1 (d) -1/7 b Which is the biggest value? (a) -1 (b) -343 (c) 0.1 c What is the smallest value in -2, -7, -6/11, -2/11? -7 What is the fourth biggest value in 0.5, 1, 4, -0.1? -0.1 Which is the third smallest value? (a) -0.1 (b) -550 (c) -4 (d) -3 d Which is the fourth biggest value? (a) -0.2 (b) -24 (c) 1 (d) -2/11 b What is the third biggest value in 0, 2.68, -3/4? -3/4 Which is the third biggest value? (a) 6/5 (b) -4/9 (c) 17/2 b What is the smallest value in -2/5, 0.3, -3/13, 0.21? -2/5 Which is the second smallest value? (a) -2/23 (b) -61 (c) -3 c Which is the second biggest value? (a) -0.07 (b) -3/8 (c) 0.04 a Which is the third biggest value? (a) -64 (b) 3 (c) 2 (d) 1/9 d Which is the third biggest value? (a) -0.04 (b) -1/3 (c) -0.4 (d) -3/38 b What is the third biggest value in -4/3, 2/11, 23/3? -4/3 What is the second biggest value in 49, -0.1, -28? -0.1 Which is the second smallest value? (a) -3 (b) 4 (c) -245 (d) 0.2 a Which is the third biggest value? (a) 0.12 (b) 1 (c) -16/7 (d) 19/5 a What is the third smallest value in 2, 34, -3/5, -0.1? 2 Which is the second biggest value? (a) 1/2 (b) 3/5 (c) 0.041 a Which is the third smallest value? (a) 0.2 (b) 1 (c) 23/4 c Which is the third biggest value? (a) -4/5 (b) 2 (c) 5 (d) -4 a Which is the third smallest value? (a) -0.19 (b) -2/13 (c) -3 b What is the second biggest value in -19, 5, 0.4? 0.4 What is the second smallest value in -0.1, 1, 0.1, -11? -0.1 Which is the biggest value? (a) -2 (b) 5/38 (c) -14 b What is the second biggest value in 4, -0.5, -21, 3/2? 3/2 What is the fourth smallest value in 0.1, 1, -0.037, -2/7, 0.22? 0.22 What is the third smallest value in -6, 2/9, 2? 2 Which is the fourth biggest value? (a) -4 (b) -2/5 (c) -6/5 (d) -1 a Which is the biggest value? (a) -13 (b) 3 (c) -0.2 (d) -1 (e) 4 e What is the smallest value in -201, -1/7, 2/11, 1? -201 What is the second smallest value in 2.8, 32, 0.1? 2.8 Which is the third smallest value? (a) 0.8 (b) -5 (c) 9 (d) -2 a Which is the smallest value? (a) -116.6 (b) -5 (c) -3/8 (d) 4 a Which is the second smallest value? (a) 10/9 (b) 4 (c) 5 (d) -4 a Which is the biggest value? (a) -1.93 (b) 2/9 (c) 2/5 (d) -1/3 c What is the third biggest value in 0.4, 4, 3, -105? 0.4 What is the fourth smallest value in 1/2, 0, 2/5, 4, -28? 1/2 What is the biggest value in -1/11, 4, -0.3, -0.5? 4 What is the fourth smallest value in -5, -1/3, -0.1, 5/4, -10? -0.1 What is the biggest value in 5, 0.02, -0.5, -2/5? 5 What is the biggest value in 3/2, -30, 11, 4? 11 What is the smallest value in 7, 1/7, 2.46, -2/5, 0.3? -2/5 Which is the second smallest value? (a) 1/4 (b) 0.51 (c) -33 a What is the smallest value in -0.3, 4, -2/9, -1/6126? -0.3 Which is the second smallest value? (a) 0.03 (b) 0.04 (c) 1 (d) -2 a Which is the fourth biggest value? (a) 0 (b) -4 (c) 2/5 (d) -2/5 b Which is the smallest value? (a) 0 (b) -3/50 (c) 11 (d) 2 b What is the biggest value in 0.1, -0.182, -9? 0.1 Which is the smallest value? (a) 0.1 (b) -0.1 (c) 5 (d) 4 (e) -7 e Which is the third biggest value? (a) 0 (b) -1/6 (c) 2 (d) -5 (e) 704 a Which is the smallest value? (a) -3 (b) -3/5 (c) 458 a Which is the fourth smallest value? (a) 3 (b) -2/7 (c) 1/3 (d) 0.4 (e) 39 a Which is the third biggest value? (a) -0.3 (b) 0.02 (c) 11 (d) -2 a Which is the smallest value? (a) 31 (b) 0.1 (c) -0.5 (d) -2/3 d What is the fourth biggest value in -1/8, -0.043, -1/2, 3? -1/2 What is the second smallest value in -1/5, -1, 859, 2/19? -1/5 Which is the third smallest value? (a) 4 (b) -14/17 (c) -2/7 (d) -2 c Which is the third smallest value? (a) -3 (b) -2.37 (c) -7/5 c What is the biggest value in -6, 516, 0.1? 516 Which is the third smallest value? (a) -0.01 (b) 2/3 (c) 1/4 (d) 1.8 b Which is the fifth smallest value? (a) 57 (b) -3 (c) 1/4 (d) 6/11 (e) 5/2 a What is the fourth smallest value in -11, -2/21, 4, -0.4, 3/2? 3/2 Which is the second biggest value? (a) -0.1 (b) -2/13 (c) 2 (d) 5 (e) -2/5 c Which is the smallest value? (a) 1/34 (b) 2 (c) -0.3 c What is the second biggest value in 3/5, -0.08, 31? 3/5 Which is the biggest value? (a) -0.3 (b) -4 (c) 0.09 c Which is the second smallest value? (a) -2 (b) 0.2 (c) 0.082 c What is the second biggest value in -1, -1/4, -0.4, -3/2, -1/107? -1/4 Which is the second biggest value? (a) -2/17 (b) 1 (c) 5.19 b Which is the third biggest value? (a) -0.1 (b) 1 (c) -609 c Which is the second biggest value? (a) -768 (b) -2 (c) 0.4 b What is the second biggest value in 3, 2/5, -0.4, 0.02? 2/5 Which is the third biggest value? (a) -2/23 (b) 4 (c) 6/5 (d) 1/9 d What is the smallest value in 2, 0.4, 0.01, 5? 0.01 What is the second biggest value in -4/9, 1/2, 2, -0.14, 3? 2 Which is the smallest value? (a) 1/7 (b) 0.1 (c) -0.13 (d) -3 d Which is the third smallest value? (a) 3 (b) -0.1 (c) -3 (d) 512 a Which is the second smallest value? (a) -0.2 (b) 3/17 (c) -2/7 a Which is the smallest value? (a) 2 (b) -5 (c) -6/11 b What is the third smallest value in -0.5, -5/3, -6? -0.5 What is the fourth smallest value in 4, -2/3, -4, -1.7? 4 What is the smallest value in -2/5, -0.0549, 2/9? -2/5 What is the third smallest value in -3, 2/5, 315? 315 What is the biggest value
{ "pile_set_name": "DM Mathematics" }
2*-6. -8634 - 2496*sqrt(7) Simplify (sqrt(51) + sqrt(2499)*2 + (-1*1*sqrt(51) - sqrt(51)) + sqrt(51))/(sqrt(27)/(-3*sqrt(81))). -126*sqrt(17) Simplify (5*(sqrt(96)/sqrt(4))/sqrt(4))/((sqrt(27) + sqrt(243) + sqrt(27))/sqrt(9) + (1*sqrt(3) - sqrt(3))*6). sqrt(2) Simplify ((sqrt(936) - (3*-1*sqrt(936) - sqrt(936))) + sqrt(936))/(-5*sqrt(72)/sqrt(4)). -12*sqrt(13)/5 Simplify 3 + 1*4*(sqrt(2057) + 3). 15 + 44*sqrt(17) Simplify -2 + 2*(5 + 0 + sqrt(5) + sqrt(60)/(4*sqrt(12)))**2*-6. -1583/4 - 150*sqrt(5) Simplify -2*(sqrt(68) + 0)**2 - (sqrt(68)/(sqrt(100)*-4))**2. -54417/400 Simplify (-2*sqrt(882))/(sqrt(54)*1) + (-1 + sqrt(300) + -2*sqrt(300) + 2 + sqrt(300))**2. -14*sqrt(3)/3 + 1 Simplify 3*6*(5*(sqrt(7623) - 1*sqrt(7623)))**2*1. 0 Simplify (-2 + ((sqrt(125) + 1 + sqrt(125))*-5 - sqrt(125)) + sqrt(125))**2*-4. -50196 - 2800*sqrt(5) Simplify (-2 + 0 + -1*sqrt(119)/sqrt(7) + 2*(sqrt(17)*-1 - sqrt(17)) + sqrt(17))*3. -12*sqrt(17) - 6 Simplify (-4 + ((sqrt(60) + sqrt(300)/sqrt(5))/sqrt(12) - sqrt(5)) + 0 + 2)**2. -4*sqrt(5) + 9 Simplify (2*sqrt(175) + 3)*-6 + 5. -60*sqrt(7) - 13 Simplify (sqrt(252) - ((sqrt(252) - (sqrt(252) + -1))*4 - sqrt(252)))**2*1 + 4*(sqrt(350) - 2*sqrt(350))/sqrt(2). -116*sqrt(7) + 1024 Simplify (sqrt(110)/(sqrt(180)/sqrt(4)))/(sqrt(144)/sqrt(8)*3 - sqrt(18)). sqrt(11)/18 Simplify sqrt(27)/((sqrt(54)*-2 - sqrt(54))/sqrt(6) + sqrt(9) + sqrt(9)) - ((sqrt(66)/sqrt(2))/sqrt(11) + 0 + sqrt(300))**2. -363 - sqrt(3) Simplify ((sqrt(108) - (sqrt(108) - (sqrt(108) + 0)) - sqrt(108))*2)**2*-4 - (((1 + sqrt(108) - sqrt(108) - sqrt(108)) + -2)*2)**2. -436 - 48*sqrt(3) Simplify ((sqrt(1573) + 0)*4)**2 - -2*sqrt(117)*3. 18*sqrt(13) + 25168 Simplify -2*(3 + (5*(-2 + -2*sqrt(700)))**2 + 5). -140216 - 4000*sqrt(7) Simplify ((sqrt(216)/sqrt(3) - sqrt(18))*3)/(1*sqrt(1350)). sqrt(3)/5 Simplify ((sqrt(57)*-1*1)/(sqrt(75)*-6))**2. 19/900 Simplify (0 + (-1 + sqrt(19) + -5 - 2*sqrt(19)*-5))**2. -132*sqrt(19) + 2335 Simplify ((sqrt(243)*4)**2 + 0 - sqrt(243))*5 + -1 + -5. -45*sqrt(3) + 19434 Simplify (-5*(sqrt(1152) - ((sqrt(1152) - (sqrt(1152) + (sqrt(1152) - 4*sqrt(1152)))) + sqrt(1152))))/(sqrt(48)/((sqrt(120)/sqrt(5))/sqrt(3))). 120*sqrt(3) Simplify (sqrt(130) - 1*sqrt(130)*1 - (sqrt(130) + 5*sqrt(130)*-1))/((2*sqrt(90)*-5)/sqrt(9)). -2*sqrt(13)/5 Simplify 5 + ((-1 + sqrt(44))**2 - (sqrt(33)/sqrt(3) + 0)). -5*sqrt(11) + 50 Simplify (-5 + sqrt(63)/(2*sqrt(576)) + -4)**2. -9*sqrt(7)/8 + 20743/256 Simplify (-6*(1 + sqrt(1584) + -3)*3)**2 + -1. -15552*sqrt(11) + 514511 Simplify -4*(((sqrt(104)/sqrt(2))**2 - sqrt(52)) + sqrt(52) - (sqrt(208)*3 - sqrt(208))). -208 + 32*sqrt(13) Simplify (sqrt(4) - (sqrt(12)/sqrt(3) - sqrt(4))*6)/((-1*sqrt(2) + sqrt(2))*-3 - sqrt(2)) + (6*(sqrt(72) + sqrt(8)) - sqrt(8))/(sqrt(36)*1). 20*sqrt(2)/3 Simplify 3 + (sqrt(200)/sqrt(4)*6)/(sqrt(810) - sqrt(810)*-4) + -2. 2*sqrt(5)/15 + 1 Simplify sqrt(42)/(sqrt(6) - sqrt(96))*-6 + 4 + 1 + 2. 2*sqrt(7) + 7 Simplify (-2 + 6*2*sqrt(17) + (sqrt(544)*5)/sqrt(2))**2. -128*sqrt(17) + 17412 Simplify (sqrt(28)*2 - (sqrt(7) - (sqrt(7) - (-2*sqrt(7))**2)*1 - sqrt(7))) + (sqrt(28) + sqrt(448) + sqrt(7))**2 + 1 + -1. 5*sqrt(7) + 819 Simplify (-2*(2 + 1*sqrt(17)) - (sqrt(17) + (sqrt(153) + 0 + sqrt(17) - sqrt(17)) + 4*sqrt(17)*-2))**2*5. -80*sqrt(17) + 420 Simplify (sqrt(567)*3 + -2)**2 + ((3*sqrt(448) - sqrt(448)) + -1)**2. -140*sqrt(7) + 6900 Simplify -3 + (sqrt(2448)*1 - sqrt(2448)) + -2*sqrt(2448)*3 + -2 + 4. -72*sqrt(17) - 1 Simplify (sqrt(612) - (1 + sqrt(612) + 4 - sqrt(612))) + ((sqrt(612)*4)**2*6 - sqrt(612)) + 5. 58752 Simplify -2*(3*(sqrt(17) + -1) + sqrt(17) + -2)*4. -32*sqrt(17) + 40 Simplify ((-1*sqrt(132)*-2 + sqrt(132))*5)/(sqrt(108) + sqrt(108)*1*3). 5*sqrt(11)/4 Simplify ((0 + -2*sqrt(75) + 5 + -5 + -5)*2)**2. 400*sqrt(3) + 1300 Simplify (sqrt(49)*2*6)/(sqrt(35)/sqrt(5)*1)*-1. -12*sqrt(7) Simplify (5*(-1 + sqrt(44)/sqrt(4)) - (6*sqrt(99)*-4 + sqrt(99))/sqrt(9))**2 + -5. -280*sqrt(11) + 8644 Simplify (1*(sqrt(500) + sqrt(500)*-3*5 + sqrt(500)))**2*5*-1. -422500 Simplify (sqrt(704) + (sqrt(704) - (sqrt(704) + 1)) + 5 + ((sqrt(704) - sqrt(704)*1) + sqrt(704))*2 - (5 + (sqrt(704) - (sqrt(704) + -2 - sqrt(704))))*2)**2. -160*sqrt(11) + 804 Simplify (2 + sqrt(2299) + 2)**2 - (-6*(sqrt(228) - 2*sqrt(228)) - sqrt(228) - sqrt(228))/sqrt(12). 84*sqrt(19) + 2315 Simplify -5 + (1 + sqrt(275) + 0 + -4 + 2 + 0 + sqrt(275))**2*-6. -6611 + 120*sqrt(11) Simplify (sqrt(612) + 0 + sqrt(612))*6 + ((sqrt(612) + sqrt(612) + 1)*3 + sqrt(612) - sqrt(612))**2 + 2 + 1. 288*sqrt(17) + 22044 Simplify (2*sqrt(77)*-1)/((sqrt(1008) - (sqrt(1008) + sqrt(1008)*1)) + sqrt(1008) + sqrt(1008)) + 0. -sqrt(11)/6 Simplify ((3*-1*sqrt(429) + sqrt(429))/sqrt(11))/(sqrt(36)/(sqrt(192)*-2)). 16*sqrt(13) Simplify -5*-3*(sqrt(133)/sqrt(343) + sqrt(19) + sqrt(19) + 3). 45 + 225*sqrt(19)/7 Simplify (sqrt(85)*2*-2 + (sqrt(85) + (sqrt(85) - -2*sqrt(85))*-5 - sqrt(85)) + sqrt(85))/(sqrt(45)/(-2*sqrt(144))). 144*sqrt(17) Simplify (1 + sqrt(448) + 5 + -5 - -3*sqrt(448)*3*-5)**2. -704*sqrt(7) + 867329 Simplify 2*(((-1 + sqrt(75))*1 + 2)*2)**2*-6. -3648 - 480*sqrt(3) Simplify -1*1*(1*(sqrt(2268) + 1*sqrt(2268))*2)**2. -36288 Simplify -1*(sqrt(252) + 3)*-6*-2*-3. 108 + 216*sqrt(7) Simplify ((sqrt(156) - -1*sqrt(156))/sqrt(3) + (sqrt(260) - (sqrt(260) + sqrt(260)*-1))/sqrt(5))**2. 468 Simplify 1*((-1 + (sqrt(68)*-2 + sqrt(68))*3)**2 + 0). 12*sqrt(17) + 613 Simplify ((sqrt(85) + (sqrt(85)*3*4 - sqrt(85)) + sqrt(85))*-1)/(sqrt(20)/((sqrt(4) - -6*(sqrt(4) + (sqrt(4) - sqrt(144))) - sqrt(4)) + sqrt(4))). 299*sqrt(17) Simplify (sqrt(704) + -1 + 4 + sqrt(704))*4 + (sqrt(33) - ((sqrt(66) - -2*sqrt(66)) + sqrt(66) - sqrt(66))/sqrt(2))/(2*sqrt(432)). 12 + 767*sqrt(11)/12 Simplify 2 + (-5*sqrt(2057)*-1)**2 + (sqrt(119)/(sqrt(7) - 2*(sqrt(7) - sqrt(112))))**2. 2519940/49 Simplify (-6*-4*(sqrt(133)*-2 - sqrt(133)))/(-6*sqrt(112)). 3*sqrt(19) Simplify (1*sqrt(208)/sqrt(4))**2 + ((sqrt(1872) + 1)**2 - (sqrt(13) + 0)**2*2) + -4. 24*sqrt(13) + 1895 Simplify (-1*(sqrt(48)/sqrt(2)*3*-6)/(sqrt(60)/(sqrt(30)/sqrt(150))))**2. 648/25 Simplify (-3 + (sqrt(320) + 3 - -2*sqrt(25)/sqrt(5)))**2*6. 3000 Simplify 3 + ((2*sqrt(567) - sqrt(567))*3)/(-1*sqrt(324)). -3*sqrt(7)/2 + 3 Simplify ((1*(sqrt(153) + 2*sqrt(153))*5)/(sqrt(1296)*1*6))**2. 425/576 Simplify ((6*(3 + sqrt(704)) - sqrt(704) - 5*-4*sqrt(704))*5)**2. 180000*sqrt(11) + 11008100 Simplify (-4 + 2 + sqrt(475) - (sqrt(475) + (2 + sqrt(475) - sqrt(475))*-6))*6. 60 Simplify -5*(2 + -3*(2*sqrt(1216))**2) + -1. 72949 Simplify 2 + ((sqrt(130) - -1*(sqrt(130) - (sqrt(130)*-2 - sqrt(130))))/sqrt(5))/(-2*(sqrt(16) - sqrt(64)/sqrt(4) - sqrt(16))/sqrt(8)). 2 + 5*sqrt(13)/2 Simplify 4*((1*sqrt(88) - sqrt(88) - sqrt(88))*-6)/(sqrt(128)*3 + sqrt(128) + sqrt(8)). 24*sqrt(11)/17 Simplify 5 + ((0 + sqrt(1331))*-2 + sqrt(1331)*2*6 + -2 + sqrt(1331) + 0 + sqrt(1331) + sqrt(1331) + -5)**2. -2002*sqrt(11) + 224993 Simplify -4*((sqrt(19) + (sqrt(19) + 1)**2)*-4 + -4 - (((2*sqrt(931))**2 + sqrt(931))*4 + sqrt(931))). 188*sqrt(19) + 59920 Simplify ((sqrt(1008) + 2 + sqrt(1008))*-2)**2 - (-2 + sqrt(448))**2. 416*sqrt(7) + 15692 Simplify (3*sqrt(308))/sqrt(7) + sqrt(2156)*-2. -22*sqrt(11) Simplify (3*(sqrt(1815) + sqrt(1815) + 2*sqrt(1815) - sqrt(1815)))/(3*((sqrt(720) - sqrt(720)*2) + sqrt(5))). -3*sqrt(3) Simplify (-1*(sqrt(75) - (2 + sqrt(75) + (-2*sqrt(75) - sqrt(75)))) - -6*(((sqrt(75)*1 - sqrt(75)) + -1 - sqrt(75)) + sqrt(75)))**2. 120*sqrt(3) + 691 Simplify ((sqrt(99)*1*4 - sqrt(99))/sqrt(3))/((-3*sqrt(539) + sqrt(539))*3). -sqrt(3)/14 Simplify (6*(-1 + sqrt(882)) + 2 + sqrt(882) + sqrt(882) + (1 + sqrt(882) - sqrt(882)) + -3*(-2*sqrt(882) + sqrt(882) + 3 - sqrt(882) - sqrt(882)))**2. -8568*sqrt(2) + 255042 Simplify ((sqrt(152) + (sqrt(152) - (sqrt(152)*-3 + sqrt(152))))*-6)/(sqrt(8) + sqrt(24)/sqrt(12)). -16*sqrt(19) Simplify sqrt(55)/(sqrt(5) + sqrt(10)/sqrt(2)) + sqrt(44) + -4 + 0. -4 + 5*sqrt(11)/2 Simplify 0 + ((3*(sqrt(612) + 0) - (0 + sqrt(612)*2))**2 - (sqrt(612) + 0 + -1 + sqrt(612) - sqrt(612))**2*2). -614 + 24*sqrt(17) Simplify (3 + 1*sqrt(468)*1 + -4 + -5 + -2)**2. -96*sqrt(13) + 532 Simplify (((0 + sqrt(99))*-4 + sqrt(99) - sqrt(99)) + 6*(sqrt(99) + 2) + -5 + 1)**2. 96*sqrt(11) + 460 Simplify (1*((
{ "pile_set_name": "DM Mathematics" }
l(p). What is i rounded to the nearest 100? -100 Let h = 13768791 - 9729845. Let m(d) = -361053*d**2 - 1. Let y be m(-1). Let o = h - y. Round o to the nearest one million. 4000000 Let a be (-4)/(24/9)*-6. Let x be (-2)/(-3) - (-30)/a. Suppose -3*j - 2*g - 168808 + 873802 = 0, 0 = x*g + 12. Round j to the nearest ten thousand. 240000 Let f = 242 - 242.153. Let v = f + 0.1408. Round v to 3 decimal places. -0.012 Suppose 4*z - 2*h - 29689 = 23763, -53448 = -4*z + h. Let t = z - 7761. What is t rounded to the nearest 1000? 6000 Let i = 403 + -835. Let x = -432.00541 - i. What is x rounded to three decimal places? -0.005 Let i = -5 + 5.4. Let v = -20.6 - i. Let c = v + 21.0009. What is c rounded to three dps? 0.001 Suppose 4*t = 2*a + 11910, -5958 = a - 0*a - t. Let c = 2062 + a. Let o = 1459 + c. Round o to the nearest one hundred. -2400 Let y = -1288.65 - -1131. Round y to the nearest integer. -158 Suppose -3*o + 7*o - 12 = 0. Suppose 0 = o*q - 2*q - 6400. What is q rounded to the nearest 1000? 6000 Let d = -4.44 - -4.4597. Let a = d - 0.0736. Round a to 2 decimal places. -0.05 Let l = -8.75 + 6.9. Let m = -0.2 + 0.3. Let b = m + l. Round b to 1 decimal place. -1.8 Let t = 0 + 0.61. Let h = t - 0.616. What is h rounded to 3 dps? -0.006 Let c = 2.419707 - 2.42. What is c rounded to 3 dps? 0 Let m(w) = -w - 53194. Let s be m(0). Let r = s - -115662. Suppose -u = 2*z - r + 257466, 0 = -4*z + 4. Round u to the nearest ten thousand. -200000 Suppose -3*k + 5*n = -1765, k + 2*n + n - 593 = 0. Suppose 0 = 2*r - t + 3*t - 220, 3*t = 5*r - k. What is r rounded to the nearest 10? 120 Let g = 1198669.40359893 + -1198533.4036. Let y = g - 136. Round y to 7 decimal places. -0.0000011 Let m(k) be the third derivative of -550*k**5/3 - k**4/24 + k**3/3 + 5*k**2. Suppose 4*i - 8 = -0*i. Let z be m(i). Round z to the nearest 10000. -40000 Let l(z) = 63*z + 8. Let w(p) = -127*p - 16. Let g(v) = 5*l(v) + 2*w(v). Let f be g(-8). Round f to the nearest one hundred. -500 Suppose -15 = 5*f - 2*f, 3*a - 2*f = 10. Suppose a = 9*x + 3125985 + 8124015. Round x to the nearest one hundred thousand. -1300000 Let p = 2 - 0.5. Let m = p - -1.5. Let f = m - 3.00015. Round f to four dps. -0.0002 Suppose 2*j + 10 = j. Let s be (-96000004)/(-10) - j/(-25). What is s rounded to the nearest 1000000? 10000000 Let a = -42.59919 + 42.6. What is a rounded to three dps? 0.001 Suppose k = -20 + 26. Suppose -241 = 5*m + 3*q, -2*m - 102 = -2*q + k*q. Round m to the nearest ten. -50 Let x = -271 + 473. Let n = -201.913 + x. Round n to two decimal places. 0.09 Let u be (-4)/14 + -5 + (-2314200222)/(-42). Round u to the nearest 1000000. 55000000 Let p = -328.702678 + 328.7. Round p to 4 dps. -0.0027 Let u = -0.0205 - -0.02. Let z = -0.01 - u. What is z rounded to 3 decimal places? -0.01 Let t = -1.47 + 13.67. Let v = -240484242.2000073 - -240484230. Let o = v + t. What is o rounded to 6 dps? -0.000007 Let a = 0.074889851 - -475.922820149. Let n = 476 - a. Round n to four decimal places. 0.0023 Let u = 1773.0000979 - 1773. What is u rounded to five dps? 0.0001 Let q = 90.1283 + 0.0717. Round q to the nearest 10. 90 Let r = -130.2 - -55.4. Let j = r + 7.8. Let t = j + 67.00000037. Round t to seven dps. 0.0000004 Let k = 240.644498 + -0.297498. Let y = -0.347 + k. Let w = y - 240.0000282. What is w rounded to six dps? -0.000028 Let h(x) = -9943*x**2 - 9*x + 14. Let f be h(3). Round f to the nearest one hundred thousand. -100000 Let n(a) = a**3 + 9*a**2 + 11*a + 6. Let b be n(-8). Let x be (2148/b)/((-4)/(-978)). Let k = -20077 - x. What is k rounded to the nearest one thousand? 9000 Let q = 59977792 - 59977788.6069159. Let u = q - 3.86308544. Let s = u + 0.47. Round s to 7 dps. -0.0000013 Let p = 205.921 - 557.8983. Let t = p - -352. What is t rounded to three dps? 0.023 Suppose -10*g - 6130 - 119770 = 0. What is g rounded to the nearest 10000? -10000 Let o(q) = 2*q - 226. Let c be (0 + 0)/(3 + -4). Let x be o(c). What is x rounded to the nearest 10? -230 Let v = -13.91 - 152.44. Let n = v + 163. Round n to 1 dp. -3.4 Let w = -0.023 - 85.977. Let j = w - -85.99861. What is j rounded to four decimal places? -0.0014 Let n = 185.2 - -86. What is n rounded to the nearest 10? 270 Let g = 7.5454 + -7.3554075. Let q = g + -0.19. What is q rounded to six decimal places? -0.000008 Let n = -340 + -480. Let a(l) = 107*l - 42. Let y be a(-14). Let t = n - y. What is t rounded to the nearest one hundred? 700 Let t = 11466464.6128324 + -11466456. Let f = t - -90.3872366. Let r = -99 + f. Round r to 5 decimal places. 0.00007 Let k(d) = d + 18. Let c be k(-18). Suppose c = -5*f - 24 + 4. Let o = f - -8. Round o to the nearest ten. 0 Let i = -30 - -34.6. Let p = 2.3 - i. Let b = p + -0.6. What is b rounded to the nearest integer? -3 Let z = 3.3332 + -3.65. What is z rounded to two dps? -0.32 Suppose 22*t = -13585216 + 51909216. What is t rounded to the nearest one hundred thousand? 1700000 Let g(y) = -8499999*y**3 - 3*y**2 + 0 - 2*y + 3*y**2 - 2. Let d be g(-2). Let x be d/(-10) + 39/(-65). What is x rounded to the nearest 1000000? -7000000 Suppose -5*c - o + 21 = -2*o, -3*c = -o - 13. Suppose 0 = -6*q + q + d - 3239996, -4*q - c*d - 2592016 = 0. What is q rounded to the nearest 100000? -600000 Let y = 552.00000327 - 552. What is y rounded to seven dps? 0.0000033 Let t = -3334 - -3334.0001337. What is t rounded to five decimal places? 0.00013 Let n = -48 + 47.998. Let l = 0.00200078 + n. What is l rounded to 7 decimal places? 0.0000008 Let o(h) = h**3 + 2*h**2 - 4*h - 1. Let c be o(-3). Suppose 5*x - c*b + 6500000 = 0, b - 4*b - 6500000 = 5*x. Round x to the nearest one hundred thousand. -1300000 Let p = 0.073 + -0.07495. Round p to 4 decimal places. -0.002 Let q = 175404.9 + 20006579.1. Let a = q + -20182037.999938. Let t = a - -54. What is t rounded to 5 decimal places? 0.00006 Let s = -15.2 - 24.6. Let i = s + 44. Round i to 0 decimal places. 4 Let m = -18597 - -2197. Let j be m/4*2 + 0. Round j to the nearest one thousand. -8000 Let r(u) = 11*u**3 - 23*u**2 + 29*u - 1. Let h(z) = 2*z**3 - 4*z**2 + 5*z. Let p(l) = -34*h(l) + 6*r(l). Let k be p(-6). Round k to the nearest ten. 330 Let g = -258 + 101. What is g rounded to the nearest ten? -160 Let b = 6.4 + -2. Let t = -4.400395 + b. Round t to 4 dps. -0.0004 Let b = 329 - 489. Let r = b + 136.4. What is r rounded to the nearest integer? -24 Let q = 40 - 39.956. Let v = q + -0.0338. What is v rounded to three dps? 0.01 Let u = 0.16 - -0.11. Let n = u - 1.83. Round n to one dp. -1.6 Suppose -3*r = -31 - 11. Let s = r - 13. Let n(w) = -46*w**2 - w + 1. Let y be n(s). Round y to the nearest ten. -50 Let v = -195.792 - -198. Round v to 1 decimal place. 2.2 Let u = 1.249 - -13.681. Let d = 15 - u. Round d to one decimal place. 0.1 Let g = 28 + -71. Let p = g - -43.34. What is p rounded to one dp? 0.3 Suppose 5*j - 31 - 9 = 0. Suppose -69000000 = -j*b + 3*b. What is b rounded to the nearest 1000000? 14000000 Let u = -0.574 + 0.163. Round u to 1 decimal place. -0.4 Let a = -19070185140.29435483245 - 5107777.70564653755. Let m = 19075293030 + a. Let t = 112 - m. Round t to 7 dps. 0.0000014 Let m = -104 + 109. Suppose -m*g - 5*b = -142000, g - 3674 - 24726 = -3*b. Round g to the nearest 1000. 28000 Let q = 62 - 60.3. Let g = 1.85 + q. What is g rounded to one decimal place? 3.6 Let h = -0.0505 - -0.046767. Round h to four decimal places. -0.0037 Suppose -2*y - 3*o = 412, 4*y - 4*o + 725 = -119. What is y rounded to the nearest 100? -200 Let g = 1234 - 1177.5. What is g rounded to the nearest 10? 60 Suppose 683688 = n - 4*q, -3*q = 4*n - 4*q - 2734797. What is n rounded to the nearest 100000? 700000 Let u = 11 + -29. Let m = 17.9985 + u. What is m rounded to 3 decimal places? -0.002 Let x = 1629.35 - 1586. Let k = -44 + x. What is k rounded to one dp? -0.7 Let r = 4778 + -4777.2794. What is r rounded to two dps? 0.72 Let a be (0 - -1250)*46224/90. Suppose -3*f - 3*f = -a. What is f rounded to the nearest ten thousand? 110000 Let h = -50.78 + 0.78. Let j = 0.01429897 + -50.01343897. Let o = h - j. What is o rounded to 4 dps? -0.0009 Let n = -107120 - -47870. What is n rounded to the nearest 10000? -60000 Let i = 77.99999568 + -78. What is i rounded to 6 dps? -0.000004
{ "pile_set_name": "DM Mathematics" }
b*v + 60 = 0 for v. 5 Let s be 18/((-216)/30)*-10. Solve s*l - 27 = 48 for l. 3 Let l be 2/(-21) + (2/(-3) - 14415/(-315)). Solve 34*b - 57 - l = 0 for b. 3 Let m(h) = h**3 - h**2 + 6*h - 17. Let x be m(5). Suppose 5*a + 43 = x. Suppose 8 = 2*n - 0*n. Solve 6 = n*z + a for z. -2 Let c = 24 + -21. Let d(l) = l**3 - 19*l**2 + 23*l - 45. Let w be d(18). Suppose -4*x - w = -13*x. Solve c*i + x = 8*i for i. 1 Let l be 36 + (0 - 0)/(-3). Let k = 0 + -34. Let o = k + l. Solve 0*s + o*s = 2 for s. 1 Suppose 0 = 5*l + 2*r + 4, 13*l + 13 = 9*l - 3*r. Solve 27*v = 26*v + l for v. 2 Let s = 182 - 180. Suppose 0 = -4*k - s*h + 6, 0 = 3*k - 4*h + h - 18. Solve 0*r = -k*r + 12 for r. 4 Let l(s) = 5*s + 43. Let n be l(-8). Suppose 4 = n*m - 3*i + 8*i, 0 = -2*m - i + 5. Let v be 2 + (-21)/(-3) + -3. Solve 0 = -0*k + m*k + v for k. -2 Let c(g) = g**3 - 3*g**2 - 8*g + 5. Let r be c(5). Suppose -125 = -4*d + 4*k - 9*k, -r = 5*k. Suppose -8*i + 21 + d = 0. Solve m = i - 2 for m. 5 Suppose 9*a = -97 - 263. Let c be (-7)/((-56)/a) + 8. Solve -20 = c*y + y for y. -5 Let i(u) = u**3 + 11*u**2 - 31*u + 10. Let b be i(3). Solve 22 + b = 13*s for s. 5 Suppose q - 17 - 20 = 0. Let z be (-1)/(-1)*-1 + q. Solve 0*d - z = 9*d for d. -4 Let n(b) = b**3 - 6*b**2 - 8*b + 9. Let c be 5/(-15)*1*-57. Let l(s) = s - 12. Let y be l(c). Let x be n(y). Solve 5*p - x = -12 for p. -2 Let r(s) = -3*s - 4. Let t be r(-2). Suppose -5*c + 1 = -3*f - 0, 0 = t*c + f - 7. Suppose 5*y = c*d - 0*d - 28, 4*d = -5*y - 4. Solve -k + 5 = d*k for k. 1 Let o(n) = 2*n**2 + 33*n - 88. Let b be o(-20). Solve -180 - b = -29*v for v. 8 Suppose -22*d + 362 = -562. Let w be ((-28)/84)/((-2)/d). Solve w*h - 10*h + 6 = 0 for h. 2 Suppose 1801 = 4*z - 2*b + 269, 0 = -2*z + 2*b + 766. Solve -4 = z*g - 384*g for g. 4 Let u be -6 - -17 - 5 - -1*3. Let g(a) = a**3 + 8*a**2 - 2*a + 68. Let n be g(-9). Solve u*w + 13 = -n for w. -2 Let n = 190 - 109. Suppose n = 2*s + s. Let d = s + -24. Solve 0 = 2*o + d + 1 for o. -2 Suppose 0*y - 13 = -2*y - k, -5*y = -5*k - 10. Let g(w) = w**3 - 7*w**2 + 13*w - 6. Let q be g(y). Suppose 2*v + v - q = 0. Solve 0 = -v*o + 5*o - 4 for o. 2 Let t = 55 - 65. Let n be 44 - (1 + -2)*(t - -8). Suppose -n = -3*o - 12. Solve -3*d + 8*d + o = 0 for d. -2 Let r = 5646 - 5619. Solve r*i = -195 + 6 for i. -7 Let l = 1 + 3. Suppose -5*s + l*p = -16, 0 = -3*s - 4*p - 11 - 5. Suppose 35*r - 123 = -6*r. Solve -n = r - s for n. -3 Let m(c) = 27*c - 27. Let h be m(1). Solve h = -n - 4*n + 10 for n. 2 Let z be (12/2 - 1) + 2. Let s(p) = 20*p**2 + 4156*p - 826. Let c be s(-208). Solve -c*w = w + z for w. -1 Let k be 4*(-78)/(-16) + (-1)/(-2). Let s be 50/k - (-4)/8. Solve 0 = 2*v + s + 1 for v. -2 Let j be (5/(-4))/(450/(-4320)). Solve -4*c + j = -4 for c. 4 Suppose -3*o + 5 = 2*r, -15*r + 12*r + 6 = 4*o. Suppose -o*s + 23 = -5*d, 0*d = s + 2*d + 7. Solve -3 = -2*q - s for q. 1 Let x = 476 - 571. Let o = x + 104. Solve -2*w + 13 - o = 0 for w. 2 Suppose 20*j + 28*j = 5*j + 344. Solve -23*u = -25*u + j for u. 4 Let v(i) = 22*i - 154. Suppose 0 = 2*k + 2, 3*l - k + 6*k = 16. Let c be v(l). Solve -6*t - 2*t + 8 = c for t. 1 Let j(z) = 612*z - 4440. Let p be j(8). Solve -20*r - 56*r + p = 0 for r. 6 Let t = 0 - -2. Suppose 4*b + 5*j = -0*j + 57, b = -t*j + 18. Suppose b = 4*v - 2*v, v = -4*k + 16. Solve -k*o = -4 + 19 for o. -5 Let h(t) = -4*t**3 - 2*t**2 - t + 2. Let k be h(-1). Solve -73 = -k*m - 73 for m. 0 Suppose 24*d = 26*d - 128. Let j = d - 62. Let a be j/(-8) - (-294)/56. Solve n = -0 - a for n. -5 Let j = 183 - 106. Suppose 78*k - j*k = 5. Solve 0*f + f - k = 0 for f. 5 Let s = -6769 - -6830. Solve 59 - s = -2*o for o. 1 Let h be (-465)/(-15) + (0 - -3) + 0. Let n(u) = -3*u**2 - 4*u + 2. Let d be n(-4). Let i = d + h. Solve -i*v - 4 = -8*v for v. 1 Let o(t) = t**2 - 11*t - 37. Let h be o(14). Suppose h - 20 = -5*v. Solve -5*q + 12 = -v for q. 3 Let w = -194 - -209. Let f be -8 - -2 - (-90)/w. Solve f = 5*m - m - 16 for m. 4 Suppose 0*p = -2*p. Let a = -58 + 114. Let s = 59 - a. Solve s = -p*j + j for j. 3 Suppose -u = 4*f - 11, 0*f + 4*u + 12 = -2*f. Suppose 4*t - 15 = 5. Suppose -2*w - t*y = -f*y - 1, -14 = -w + 4*y. Solve x = 3*x - w for x. 1 Let w(b) = 0*b**2 - 3*b - 2 - 10 + b**2 + 4. Let v be w(5). Let p be (6/(-12))/((-1)/v). Solve -3 = -4*s + p for s. 1 Let w = 16743 - 16700. Solve w*c + 86 = -43 for c. -3 Let p = -43 + 39. Let r be ((-85)/(-10))/(2/p). Let b = 22 + r. Solve b*y = -24 + 4 for y. -4 Let h(f) = f**2 - 54*f + 585. Let w be h(12). Solve 0 = w*q - 76*q for q. 0 Let p(n) = n**3 + 10*n**2 - 78*n - 28. Let k be p(-15). Solve 5*z - 66 = -k*z for z. 3 Let k(j) = 3*j**2 - 6*j + 2. Let o = -32 + 34. Let t be k(o). Suppose 5*z - 21 = 9. Solve t*h + h - z = 0 for h. 2 Suppose -2*b + t = -5, -35 = -0*b - 5*b - 2*t. Suppose -2*j = -3*h - 1, -b*j + 0*h = h - 11. Suppose 91 = j*g + 85. Solve 0*x - 6 = -g*x for x. 2 Let v = -272 + 265. Let g(n) = n**2 + 2*n - 20. Let q be g(v). Solve 10*o = 5*o + q for o. 3 Suppose -2*q + 0*a - a + 2 = 0, 0 = -4*q + 5*a + 32. Suppose -2*i + q = -1. Let j(u) = -u**2 + 50*u - 555. Let w be j(17). Solve i*r - w*r = -8 for r. 2 Let n(r) = 10*r - 46. Let k = 544 + -537. Let b be n(k). Solve -9*l - 6 = -b for l. 2 Let w be 2075/100 - (6/(-8))/(-1). Solve 0 = -13*f - 32 - w for f. -4 Let m be (-36)/126*-14 + 10. Solve 2 - m = -3*d for d. 4 Let h be (0/(-2))/(-1)*-1. Let o(f) = -3*f + 57. Let i be o(5). Suppose -21*q + i = -42. Solve h = 3*s - q + 1 for s. 1 Let v(r) = -r**2 - 13*r - 38. Let p be v(-7). Suppose 3*b + 72 + 0 = 4*w, 2*b = 0. Let u = w + -16. Solve 2*n - u = p for n. 3 Let s(g) = -41*g**2 - 19 + 21*g**2 + 13*g + 21*g**2. Let f be s(-15). Suppose -2*u + 23 = f. Solve u*r = 2*r for r. 0 Suppose -90 + 71 = w - 4*n, 2*n - 13 = -3*w. Suppose 20 = -4*y, -2*i - y = -3*y - 10. Solve -z + i = -w for z. 1 Let x = 13871 + -13809. Solve x*o + 268 = -104 for o. -6 Suppose -7 = 6*h - 19. Suppose y - h + 0 = 0. Let x(i) = i**3 + 4*i**2 - 117*i. Let t be x(9). Solve y*g - 3*g + 4 = t for g. 4 Suppose -840 = -4*b - 8*b. Let n = b + -23. Let p = -47 + n. Solve 4*w = -p + 12 for w. 3 Let f be -79*-6*(116/24)/29. Solve f = -46*v - 59 for v. -3 Suppose 0 = 4*d - 12. Let w(i) = -i**3 + 3*i**2 + 3*i + 2. Let b be w(-2). Suppose -7*q + b = -d*q. Solve -4*n - q = -0*n for n. -1 Let g be (22 - 37) + 138/6. Solve -g*l + 175 = 151 for l. 3 Suppose 5*a - 29 = -0*a + 3*c, 3*a - 13 = 4*c. Suppose -11 = -a*j + 3. Suppose 0 = 4*m + 2*t - 8, 3*t = 2*m - 0*m - 20. Solve 6 + j = -m*l for l. -2 Let x(f) = -f**3 + 8*f**2 - 3*f - 44. Let k be x(4). Suppose 4*j - 6 = 2. Suppose -j*w = -3*w + 3. Solve v + w = k for v. 5 Let y be ((-30)/(-18))/(((-510)/(-72))/17). Let p(a) = a**2 + 3*a - 2. Let h(w) = w**2 - 8*w + 3. Let z be h(7). Let n be p(z). Solve 0 = -0*c + n*c - y for c. 2 Let k(b) = -2*b**2 + 144*b - 215. Let h be k(70). Solve h - 79 = -7*m for m. 2 Suppose -5*v = -4*u + 26, 6*u - 5*v = u + 35. Suppose -39*s + 36*s + u = 0. Solve s*f + 3 + 6 = 0 for f. -3 Let q(k) = k**2 + 5*k - 8. Let n be q(-10). Suppose -5*s = -198 - n. Let b be s/22 - 2/11. Solve 0*l = 2*l + b for l. -1 Let l(f) = 29*f - 4. Let y be l(1). Let x(h) = -h**3 - 8*h**2 - 25*h - 78. Let w be x(-6). Solve w*v = -5*v - y for v. -5 Suppose 2*q - 67 = 3*h, 3*q = 9*h - 5*h + 102. Suppose -q*m - 24 = -44*m. Solve 9*w = m*w + 20 for w. 4 Let q(j) = j**3 - j**2 + j. Let w(n) = 7*n**3 - 19*n**2 + 4*n + 28. Let z(y) = -6*q(y) + w(y). Let d = -834 + 847. Let g be z(d). Solve 0 = g*t - t - 5 for t. 5 Suppose 0 = r + 40 + 37. Let g = r - -81. Let i be 1/((-1)/6)*(-2)/g. Solve i*j + 20 = -j for j. -5 Suppose 69 = 10*d - 9*d. Let w = 81 - d. Suppose w*r - 7*r = 10. Solve -4*l = -6*l + r for l. 1 Let q = -11100 - -11110. Solve -6*b - 4 = -q*b for b. 1 Suppose 4*t = 4*q - 12, -228*q + 230*q + 5*t = 20. Solve -26 + 26 = q*v for v. 0 Suppose -9*r - 51*r = -1080. Solve y - 7*y = -r for y. 3 Let n be ((-24)/4)/(3/(-2)). Suppose 0 = -n*c - 4*k + 8*k + 128, 0 = -2*c - 3*k + 69. Solve 5*d + 13 = c for d. 4 Let s = 2719 - 2656. Solve s - 66 = -g for g. 3 Let y(w) be the second derivative of w**4/12 - w**3 - 40*w**2 - 139*w. Let n be y(13). Solve 0 = -n*p + 3*p + 32 for p. 4 Suppose -414 = -3*s - 2*l, -s - 4*s + 668 = -4*l. Let d = 138 - s
{ "pile_set_name": "DM Mathematics" }
hird derivative of -z**6/120 + z**5/20 - z**4/12 + 2*z**2. Let q be m(2). Suppose 3*j + 2*j = 20. Solve q = v - 5, j*b - 3*b = 2*v - 7 for b. 3 Suppose 47*w = 48*w. Solve -5*f + d - 11 = -f, w = -5*f + d - 15 for f. -4 Let j be -2*((-63)/(-6))/(-7). Solve 0 = -3*u + 3*r - 21 - 0, 4*r = j*u + 25 for u. -3 Let n = -10 - -13. Suppose -4*d - 8 = 4*w, -n*w = -2*d - 3 - 16. Solve -w*y + 27 = 3*b, -y - 18 = -5*b + 3 for b. 5 Let z(u) = 2*u**2 - 4*u - 14. Let c be z(-2). Solve d + 6 = 3*r, -2 - 2 = -c*r - d for r. 2 Suppose -2*t + 1 = t + 5*x, 0 = 4*t - 5*x - 13. Solve 0 = -2*b + 2*r - 0*r + 6, 4*r + 6 = -t*b for b. 1 Let l(i) = -i**3 - i**2 + 3. Let r be l(0). Solve -5*m - 22 = 3*b + 7, r*b - m = -5 for b. -3 Let j(u) = u**2 - 14*u + 29. Let f be j(12). Solve 5*b - 4 = -c + 2*b, -f*c - 4*b + 9 = 0 for c. 1 Let v(w) = w**3 + 7*w**2 + 8*w - 6. Let t be v(-6). Let u = 30 + t. Let r = u + 1. Solve -3*l + m = r, -2*m + 4*m - 11 = 3*l for l. -5 Suppose 4*c + 8 = -5*q, q - c = -6*c - 10. Solve 5*k + q*x - 6 = -2*x, 0 = 4*k - 4*x + 12 for k. 0 Suppose -2*w = -5*w + 3*l + 36, 0 = l. Solve -5 + 1 = r + 3*m, 3*r = 5*m - w for r. -4 Suppose -4*y + 4*k + 8 = -36, -5*y + 4*k + 51 = 0. Let r be (2 - 3*-1) + 0. Let q = -3 + r. Solve 11 = 5*n + q*o, 2*o - y*o + 16 = n for n. 1 Let u = -7 + 7. Solve 0 = 4*d + t + t - 2, u = d + 5*t + 22 for d. 3 Let a(l) = 2*l**2 - l. Let z be a(2). Let h(w) = -2*w + 52. Let v be h(24). Solve -3*o + z = 3*q, o + 1 = 6*o - v*q for o. 1 Let y = 25 - 19. Suppose j + 3*j = 20. Let k(u) = -u**2 + 5*u + 2. Let q be k(j). Solve -q = m + d, 0*d = -m + d - y for m. -4 Let g be (3 + -4 - -1)/(-1). Suppose 2*k + w - 2 = g, 2*k + 8 - 2 = -5*w. Solve 5*r + 2*p - 5 = 0, k*r - 3*p = 2*p + 31 for r. 3 Let v(w) = 8*w**2 - 2*w. Let t be v(-1). Solve -23 = 4*c - 3*u, -c + 3*u = t - 2 for c. -5 Suppose i = 6*i. Suppose -2*x + 6 + 2 = i. Solve 5*m - 3 = -4*t, 2*m - x = -t - 2*t for t. 2 Let i = -191 - -196. Solve -k = -2*y - 3*k - 18, -4*k = -i*y for y. -4 Let k be 0 - -3 - (-4 - 2). Let n = k - 7. Solve 3*p + 14 = n*q, -2*q + 5*p = -30 + 8 for q. 1 Suppose -2*d - 25 = -7*d. Solve -d*o - 10 = 3*n, 0 = 2*o + 3*o - 5*n - 30 for o. 1 Let q = 25 + -15. Suppose -3*o = -o - q. Solve -2*b + u + 4 = -3*b, 4*b - o*u + 7 = 0 for b. -3 Let o be 12/(-8)*(-2)/3. Solve 5*v - 4 = -4*s, 4*s - 2*v = 3*s + o for s. 1 Suppose 3*z + 11 = s, 4*s - 2*s + 3*z = 4. Suppose -5*k + w + 26 = 0, 2*k - 2*w + 0 = 12. Suppose 45 = s*t - k. Solve -d + 5*v = t, -2*d + 8 = -d + 4*v for d. 0 Let q(r) = -2*r + 22. Let z be q(9). Solve -16 = 5*f + 2*m - 2, -3*m = z*f + 14 for f. -2 Let j(h) = h. Let c be j(4). Let t(m) = -3*m - 1. Let i be t(-2). Let k be 2/((-21)/12 - -2). Solve -5*o = -c*s - 4 + 14, -i*s - 4*o - k = 0 for s. 0 Suppose v - 4 = -0. Let i be (4 - 2)*2/v. Suppose -p + i = -1. Solve 5*l + 0*l + 8 = -p*h, -3*l - 5*h = 1 for l. -2 Let v = -1 + 3. Let u(o) = -o**2 + 4*o - 2. Let r be u(3). Solve 3*n = v*q - r, -n - 10 = 4*n + 5*q for n. -1 Let g = 24 + -21. Solve 0*r + g*r + 3 = 3*x, -5*x = -4*r - 6 for r. 1 Let n = 38 + -37. Solve 4*y - 15 - 4 = -v, -5*v + 4*y = n for v. 3 Let f = -6 - -8. Let l(a) = 2*a - 3*a**3 + 1 + a**3 - 3*a**2 + 3*a**3. Let r be l(f). Solve 2*i = 4*s + r + 1, -3*i = 5*s - 3 for i. 1 Suppose 0 = -3*k + 4 + 71. Solve 20 = 5*m - 0*m, -4*m = 3*x - k for x. 3 Suppose 0 = 4*i - 9*i - 10, 3*d = 3*i + 21. Solve d = -4*m - 3, -3*b + 9 = 3*m for b. 5 Suppose 0 = -4*c + 2*c. Let k(j) = j**3 - 2*j**3 + 7*j**2 + 0 + 3. Let h be k(7). Solve -3*v + 2*x = -16, c*v - 4*x - 26 = -h*v for v. 2 Suppose 3*c - 18 = -6. Let l be (2 + -2)/(-1 + 0). Suppose 2*g - 6*g + 20 = l. Solve z - 2*z + g*u = 3, c*z - 3*u + 12 = 0 for z. -3 Let v = 2 + 3. Let f(y) = y - 4. Let s be f(4). Suppose s*g + g = 5. Solve -m - g = -3*q - 0, 3*m + v*q = -1 for m. -2 Let c(u) = u**2 - 5*u + 4. Let k be c(5). Let s = -2 + 8. Let b = -6 + s. Solve -4*o = 3*p + 3 + 4, 3*o + k*p = b for o. -4 Let q be (-5 + 5)/(-3*(0 + -1)). Solve q = -5*d + 4*r - 4 - 12, 5*d = -3*r - 23 for d. -4 Let s(m) = m**3 + 17*m**2 + 5. Let h be s(-17). Solve -2*f = 5*g - 9, 5*g - h*f - 20 = 10 for g. 3 Suppose -2*u - 2 = -w, -w - 2*u + 0 + 2 = 0. Solve -w*c + 24 = 3*c - o, -4*c + 20 = -o for c. 4 Let j(n) = -n + 2. Let w be j(0). Let t be -5 + w + 0 + -1. Let u = t - -7. Solve 5*q - 10 = 5*k + 5, u*q + 26 = -4*k for k. -5 Let h(y) = -y**2 - 9. Let u(j) = 2*j**2 + 17. Let o(v) = 11*h(v) + 6*u(v). Let c be o(0). Solve 3*q - c*z + 3 = 0, -3*z = -2*q - 3*q - 7 for q. -2 Let o be (-2 - -3 - -1)*1. Let z = -3 + 5. Solve z = -o*q + 5*c + 17, 4*q + 5*c = -15 for q. 0 Suppose p = 4*p. Suppose j - 4 - 10 = p. Let v be 6/(-9) - j/(-3). Solve 0 = -2*i + 6*y - 2*y + v, -13 = -2*i - 5*y for i. 4 Suppose -4*s - 54 = -66. Solve -2*x + c = 7, -s*x - 1 - 4 = 4*c for x. -3 Let n be (14/3 - 3)*3. Let u be (2/4)/(n/10). Solve -5*t + 5 = -3*j, -t - u = -2*t - 2*j for t. 1 Suppose 6 = 6*y - 3*y. Solve y*b = -4*w + 4*b - 2, -2*b + 2 = 4*w for w. 0 Let q = -113 + 113. Solve -2*g = -3*i + 5, -4*g = -q*i + 4*i - 20 for i. 3 Let a(d) = -d**3 - 4*d**2 + d - 6. Let g be a(-5). Solve m + g = -2*f, -18 + 2 = 4*m for f. -5 Suppose -4 + 22 = 6*t. Solve -5*y + k + 0 + t = 0, 12 = 4*y - 4*k for y. 0 Suppose 0*n + 4*n = 28. Let r = -1 + n. Solve -5*l + 10 = -2*y - 0*l, 3*y + 3*l - r = 0 for y. 0 Let g be (-69)/(-2) + 6/12. Let y be (-38)/(-14) + 10/g. Suppose -q = -19 + 7. Solve 5*u - y*k - 8 = 0, 3*u - u = -k + q for u. 4 Let w be (15/6)/5*10. Let l be 6/(w/((-10)/(-4))). Suppose -l*n = -2*n. Solve -2*z + 0 = -x - 2, n = -5*x - 10 for z. 0 Suppose -4 = 5*a - 49. Solve -4*t + 5*d + 5 = -t, -a = -3*t + 3*d for t. 5 Suppose -4*l + 5 = -7. Solve -4*z - 2*d = -3*d + 21, 3*z + l*d = 3 for z. -4 Suppose 2*t = -2 + 4. Let c = 4 - t. Let n = 4 - 1. Solve 0 = -n*i - 4*f - 5, c*i + 4*f = 2*f - 7 for i. -3 Let c be (2/(-2))/((-2)/(-6)). Let k = c + 10. Solve 5*t - p - 18 = 0, 0 = t + 5*p + k - 21 for t. 4 Let y = 14 - 12. Solve -n + 12 = -4*n - y*m, 0 = -5*n - 5*m - 25 for n. -2 Suppose -5*i + 6 = 5*h - 3*i, 0 = -5*h - 5*i. Let r = 6 + -3. Solve q = r*w + 1, -w - 5*q + 5 = h*w for w. 0 Let k = 0 - -4. Suppose 0*t - 16 = -2*t - 5*s, 4*s + 4 = k*t. Let d = 257 + -254. Solve -2*a - t = -i, -a - d*a = 4 for i. 1 Suppose 31 = 4*z - 9. Let b be 4/z - 13/(-5). Solve -10 + 2 = 4*t, 5*y - 9 = -b*t for y. 3 Suppose -4 = 5*r - 29. Solve 0 = 3*m + 2*m + r*n, 5*n + 9 = -2*m for m. 3 Let y(r) = 3*r**2 + 2*r - 3. Let h be y(2). Let l = h - 6. Suppose 5*m + 2 - l = 0, -b - 5*m = -18. Solve 0 = -3*v + 3*w - 6, -15 = -v - 5*w + b for v. 3 Suppose f + 4*f + 4*l - 8 = 0, 2*f - l = -2. Suppose 4*d = -f*d + 8. Solve d*h + p - 6 = 0, p - 5*p - 21 = -h for h. 5 Let s(m) = m**2 - 7*m + 8. Let u be s(6). Let y = 5 - u. Solve 2*t - 6 = o, -y*t + 3 = -2*t - o for t. 3 Let z(r) = r - 5. Let w(h) = -h**3 + 6*h**2 - 5*h + 7. Let l be w(5). Let o be z(l). Solve -2*f - 10 = -4*m, f = -2*f - o*m + 25 for f. 5 Suppose k + 3*k = 0. Let q(n) = n**3 + 7*n**2 + 4*n - 7. Let w be q(-6). Suppose -4 = -j, -4*j + w = -5*s + j. Solve 3*c = -s*r - 24, r = -3*c - k*c - 14 for r. -5 Suppose g - 32 = -4*d, d = -3*g + 6*d + 79. Suppose f - g = -f. Let l = f + -10. Solve l*x = v - 3 - 1, -5*x = -2*v + 8 for x. 0 Suppose 3*r + 2*b = 16, 0 = -4*r - r + 4*b + 12. Suppose 10 = 2*m + 8*m. Suppose -r = -a - m. Solve 11 = 2*c - c + a*d, 4*c - d + 8 = 0 for c. -1 Let q = -79 + 84. Solve 5*t - 10 = 0, -x + 6*x - q*t + 20 = 0 for x. -2 Let r = 16 - 16. Solve r = -4*v - 0*u - u - 18, -3*u = v - 1 for v. -5 Suppose 0 = 5*z + 3*w - 12, 2*z + 0*w - 16 = -4*w. Solve z = g - r + 7, -2*g = -7*g + 2*r - 23 for g. -3 Suppose 3*b - 42 = -9. Let t be (-2)/(-3) - (-14)/6. Let k(x) = -4*x. Let n be k(-1). Solve -4 = -2*l - 3*y + 5*y, -t*l + n*y + b = 0 for l. -3 Let l = -2 - -11. Solve 3*d + x = -9 - 4, 0 = -d - 5*x - l for d. -4 Suppose 6*h - 12 = 3*h. Solve -4*a - s = -0*a + 16, h*s + 16 = -4*a for a. -4 Suppose 5*z = -5*f - 105, z - 3*f + 1 = -0*z. Let q be 4/6*(z - -43). Solve 5*g + q = 2*x, -3*g - g = x + 17 for g. -4 Let l(i) = -i + 17. Let f be l(4). Solve 0 = 4*k - 0*m - m - f, 0 = -3*k + 4*m for k. 4 Suppose -7*p + 4 + 10 = 0. Solve d = 2*a - p*d - 9, -4*d = 20 for a. -3 Let n(b) = 8 - 6*b**2 - 2*b**3 - 4*b + b**3 + 5*b. Let t be n(-6)
{ "pile_set_name": "DM Mathematics" }
e (2 - 0)*(-20)/8. Let z = 9 + l. Let s = 16465 + -16459. Solve -2*d - d = -z*a + 6, -a + 3*d = -s for a. 0 Suppose 0 = -v - 4*w + 22, -5*w = 1 - 26. Suppose 9*u = v*u + 56. Suppose u*i = -0 + 24. Solve -k - 5 = -j, k + i*j - 3 = 4 for k. -2 Let w be (-7*(-48)/252)/((-3)/(-9)). Solve a + 2 + 4 = -2*i, -3*i + 2 = -w*a for i. -2 Suppose 6*u - 64 + 46 = 0. Suppose 0 = 4*a - 4*y - 32, 1 = u*a + 5*y - 39. Solve 0 = -5*x + 5*j + 30, -2*x - 2*j + a = -3*j for x. 4 Let w = 49 + -49. Suppose -24 = -3*u - 5*r, w*r + 9 = 4*u - r. Let k be 2/4*(11 - u - -2). Solve 0 = -q + 3*b + 6, -2*q + k*b = -0*b - 9 for q. -3 Suppose -23*p - 12 = -27*p. Suppose 5*m + 4*a - 4 = 0, -16 = m + 2*a + p*a. Solve 0 = -9*g + 4*g - 25, -m*o - 31 = 3*g for o. -4 Suppose 18*h + 5*m = 15*h + 1235, 0 = 3*h - m - 1265. Let r = -417 + h. Solve -11 = -r*q + 4*j + 5, -2*q + 4*j + 12 = 0 for q. 4 Suppose -2*u - 42 = -3*n + 13, 2*n - 2*u - 34 = 0. Suppose -4*j = -n*h + 24*h + 10, -20 = 5*j. Solve -2*i = -6, 5*t - 6*i + h*i = 3 for t. 3 Let r be -3 + 20/6 + 35/(-15). Let f be (4 - 22)*r/4. Solve -3*x - f = -5*b - 4, 0 = 2*x - b + 1 for x. 0 Let a = 36 + -31. Suppose -10*u + 9 - 9 = 0. Suppose u*f = -19*f + 228. Solve f = -4*d, 2*k - 6*k - a = -d for k. -2 Let n(s) = -s**3 - 2*s**2 + 10*s + 29. Suppose -j + 4*g - 20 = 3*j, 2*g = 2. Let l be n(j). Solve b + 4*q = -l, 0*q - 2*q + 2 = -2*b for b. -5 Let v(g) = -2*g**2 + 22*g + 7. Let h(n) = 2*n**2 - 23*n - 6. Let j(u) = 3*h(u) + 4*v(u). Let k be j(10). Solve k*y - 2*z - 13 = -3*y, 5*z = 2*y - 5 for y. 5 Suppose -177*t = -20*t. Solve 3*v = -l - v + 1, -l + 5*v + 1 = t for l. 1 Let j(t) = -78*t - 456. Let s be j(-6). Solve -3*g = g - 4*l + 16, 3*l + s = -3*g for g. -4 Suppose 5*s + 5*z = 45, 41*s - 42*s + 14 = -4*z. Solve f = -l + 9, 5*l = 5*f + 3*l - s for f. 4 Let d = -53 - -73. Let t be (-2 + 6)*1 - d. Let h be t/72 + 33/27. Solve -a + x + h = 0, 2*a + 4*x - 16 = a for a. 4 Suppose 32 = -u + 6*u + p, -3*u + 2*p + 14 = 0. Suppose 5*r + k = 42, -11*r = -u*r + 2*k - 39. Solve 0 = -2*n + 8, 3*i = -4*n + r + 4 for i. -1 Suppose 4*d = i + 116, -36 = -2*d + 6*i - 11*i. Suppose -5*z - d = -8*g + 5*g, 5*z + 40 = 5*g. Solve -m = 5*r - g - 13, 0 = -m + 3*r - 5 for m. 4 Let n(p) = -p**3 + 9*p**2 + 12*p - 16. Let m be n(10). Suppose 0 = -2*r - 4*y - 10, 5*r + m = 2*y + 27. Solve -l = l + 3*v + 18, -r*l - 25 = 4*v for l. -3 Let w(o) = -o**3 + 34*o**2 - 34*o + 38. Let y be w(33). Suppose 3*r + 1 = -y*k, 0 = 2*r - 4*k + 1 - 15. Solve -r*p - 18 = -4*n, -3*p = -2*n - n + 15 for n. 3 Let b = 366 + -354. Suppose b*s = -2*s + 28. Solve -2*u - 2*p = -4, s*u - 8 = 3*u - 4*p for u. 0 Let p = -127 - -301. Suppose 0 = 5*o - 4*u - 195, -5*o + u + 6 = -p. Let f = 38 - o. Solve -5*d - 2 = -f*z, -2*d + 7*d + 5 = 0 for z. -1 Let t be (-6 - 126/(-12)) + 9/6. Let z be ((-5)/(50/t))/(3/(-15)). Let q = -21 - -34. Solve z*f + j + 6 = 0, -2*j + 7*j + q = 2*f for f. -1 Let r be (-448)/12*(-6)/4. Suppose 19*x - r = 1. Solve 0*q - x*q - v = -5, 5*v - 3 = -4*q for q. 2 Suppose 17*f = 10*f - 42. Let w(q) = -q**2 + 0*q**2 - 4*q - 3 + 0 + 18. Let p be w(f). Solve 7*g - 2*s + 6 = 2*g, 3*s = p*g + 9 for g. 0 Let s(q) = -56*q**3 + 4*q + 4. Let v be s(-1). Let x be (2/(-4))/(-3 + 161/v). Solve 35 = -5*z - x*o, 2*z = 5*o + 2 + 17 for z. -3 Let c = -100 + 18. Let f = -102 - c. Let u be (24/f)/((-2)/5). Solve -4*v + 3 = -u*v + 5*b, -4*v + 12 = 2*b for v. 3 Let z = -546405 - -546410. Suppose 0 = 2*d - 0*d - 40. Solve n + z*x = -4*n - d, 8 = -5*n - 2*x for n. 0 Let i be (-3)/(((-4)/1074)/(12/27)). Let f = i - 349. Solve -5*n = -2*m + 12, -4*n - 2*m + 3 = f for n. -2 Let t(u) = u**3 - 13*u**2 + u - 4. Let d be t(14). Let o = d + -189. Solve -q = 3*k + o, 3*q = -0*q + k - 11 for q. -5 Let c be 20 + 3/(1 - 0). Let s = -6824 - -6827. Solve q = -2*n - q - 8, -s*n = -4*q - c for n. 1 Let h = -6161 + 6177. Solve -17*p + h*p = -t, -4*t = 5*p - 18 for p. 2 Let m = 244 + -862. Let h = m + 621. Solve -1 - h = 2*g + l, -g - 2*l + 1 = 0 for g. -3 Let d(o) be the first derivative of -5*o**2 - 50*o - 116. Let s be d(-5). Solve 5*k + 2*b = -17, s*k + 3*k + b + 11 = 0 for k. -5 Let h(y) = 14*y - 4*y + 13*y + y**3 + 10*y**2 - 2. Let x = -7650 - -7644. Let g be h(x). Solve 0 = -g*n - p + 10, 2 = 5*n - 4*p - 0*p for n. 2 Let y = 49 + 79. Suppose -y - 60 = -47*p. Solve -p*o - 4*q = q - 7, 0 = o - q - 4 for o. 3 Let q = 426 - 403. Solve 5*x + 2*g - 26 = 0, 12 = -5*x + 3*g + q for x. 4 Let t = 59 + 1. Suppose 3*s - 9*s + t = 0. Suppose q = 3*d - 7, 6*d = q + 2*d + s. Solve 0 = q*r - m + 9, 0 = 4*m - 2 - 18 for r. -2 Let z be -258 + 261 - ((-41)/3 + (-5)/15). Solve 2 = 29*o - 28*o - b, -z = 5*o + 4*b for o. -1 Let l(w) = w + 16. Let g = 34 + -29. Suppose -g*x = 34 - 9. Let s be l(x). Solve -s = -3*n + 2*d, 0*d = n + d - 7 for n. 5 Let t(k) = -3*k + 9. Let q be 13/((-26)/(-28))*(-1 - -2). Let z be t(q). Let l = 35 + z. Solve 0 = 3*m + 15, 25 = -3*b - 0*b - l*m for b. -5 Let t = -179 + 308. Suppose 49 = -16*o + t. Solve 0 = o*d - 5*p + 20, -4*p + 5*p = 2 for d. -2 Let n(p) = -2*p**3 - 79*p**2 - 48*p - 348. Let b be n(-39). Solve 0 = -c + q + 3, 9*c = 5*c - b*q - 2 for c. 1 Let r be 5 + 1 - (-3 + 1). Suppose 89 = 35*k - 0*k - 121. Solve 3*x - 3*p + k = 0, 0 = 4*x - 0*p - 2*p + r for x. -2 Let a(z) = -z**3 - 26*z**2 - 13*z + 305. Let b be a(-25). Solve -b*d + 10 = 42*k - 39*k, 3*k = 5*d + 20 for d. -1 Let f be (-6516)/(-270) - (-38)/(-285). Solve -29*s = -f*s - 3*y + 22, -3*s = -5*y + 26 for s. -2 Let y be (0 - (-1 + 3)) + 17. Let m = -15 + y. Let x(v) = 3*v. Let g be x(0). Solve 5*c + 0*c - 20 = g, m = 4*a + c for a. -1 Let d = -1133 + 1137. Solve -d*w - 23 = -3*o, 9*w = o + 5*w - 21 for o. 1 Suppose -24*x - 189*x = -7397 - 3253. Solve 5*r + 54*u - 32 = x*u, 4*r + 3*u = 26 for r. 8 Let c = -10 + 10. Suppose -l + 1 + 14 = c. Suppose -1015 = -8*s - 21*s. Solve 3*k + s = 8*k - 5*w, 5*w - l = -5*k for k. 5 Suppose -3823*v + 3801*v + 396 = 0. Solve b + v = 4*o, 16 - 1 = 3*o for b. 2 Let n(m) = -m**2 - 12*m - 6. Let s be n(-11). Let k = 25 - 3. Suppose k = 4*z - 5*y - 32, -z = -5*y - 21. Solve -s*d - 2*r = z, 2*d + r + 1 = d for d. -3 Suppose -12*q = -19*q + 56. Let h be 32/q + (-1 - (-20 + -2)). Solve -3*w + h = 4*p, 0 = 4*w - 0*w - 2*p - 4 for w. 3 Suppose -4*j + 3*j - 5*n = -52, 4*j - 162 = 3*n. Suppose x = -2*x + 5*h - 104, -84 = 2*x + 4*h. Let a = x + j. Solve a*q = -g + 12, 0 = q - 4*g - 3 for q. 3 Suppose -5*v - 30 + 45 = 0. Solve -3*p - 5*r - 7 = v, 10 = -2*r for p. 5 Let o(f) = -28*f + 112. Let p be o(12). Let v = 226 + p. Solve 15 = 5*c - i, -6 = -v*c - 0*i - 5*i for c. 3 Let t be -10 - -6 - (-5 - -1). Suppose -8*h - h + 36 = 0. Suppose -3*u + 10 = -5. Solve 3*s + t*n = h*n - 15, -s = -u*n + 5 for s. -5 Let q = 127 + -119. Let l be (-2 + -1)/(q - 11) - 1. Solve 2*t + 2*o = -11 - 7, l = -4*t - o - 21 for t. -4 Let f = 43 - 21. Suppose -20 + f = i. Solve -2*l = -2*j - i, 0*l + 4*j = l - 13 for l. -3 Suppose z + z - 10 = -2*k, 4*k - 22 = -3*z. Let m be 8/((-48)/(-21) - 2/k). Solve -m*o + 12 = -4*d, -14 = -4*o + 2*d - 2 for o. 3 Suppose -4*s - o + 2*o = -12, 4*o = 4*s. Let p(i) = -2*i + 4. Let f be p(3). Let l be (-2 + f + 5)*12. Solve -4*c - s = 5*n, 2*c - 6*c = n - l for c. 4 Suppose 35*x = 45 - 10. Let a(c) = 2*c**2 - 11*c + 8. Let h be a(5). Suppose -8 = -2*i - 0*i. Solve i*y = b - 0*b + x, 3 = -h*y for b. -5 Let k = 13 + 1. Let r be 6/21 + 94/k + -2. Suppose 3*c + 48 = r*u - 0*u, -5*u + 5*c + 50 = 0. Solve -u = -4*a - 3*d, -5*a - d - d + 13 = 0 for a. 3 Let p(l) = -4*l**2 - 148*l - 523. Let u be p(-33). Solve -2*z - q - 8 + 4 = 0, u*z = 4*q - 10 for z. -2 Let r be ((-7)/1)/(24/(-72)). Suppose -r = -2*n - 19. Solve -2*d = 3*i - 2, -4*i + 5 = 4*d + n for i. 0 Suppose 0*y - 2*y + 6 = 0. Let h be (-10)/(320/72)*(-4)/y. Solve -k + h*j = -1 + 14, -4*k + 2*j - 12 = 0 for k. -1 Let n(s) = 47*s. Let i be n(2). Suppose 3*j - 45 = -2*l + 70, 2*j - 3*l = i. Let q = -39 + j. Solve 5*r - 6*r - q*m + 8 = 0, 5*m = -3*r + 21 for r. 2 Suppose 304*c + 112 = 311*c. Suppose c*g - 114 = -2. Solve 0 = 3*i + 4*s + 8, 5*s + g = 4*i - 3 for i. 0 Suppose -236*a - 46*a + 283 = -281. Suppose 3*g + 4*h - 2*h = 9, 0 = 3*g + h - 12. Solve a*y + 16 = -g*p - 2*y, 4*y + 16 = 5*p for p. 0 Let n be 10/(-8)*(-372)/155. Solve -2*f - n*w + 8 = -7*w
{ "pile_set_name": "DM Mathematics" }
s(a). Factor t(x). -x**2*(x - 1)**2/2 Let b(u) = u**2 - 9. Let v be b(4). Let a(r) be the second derivative of 1/27*r**3 + 0*r**2 + r + 1/27*r**4 + 0*r**5 - 2/135*r**6 - 1/189*r**v + 0. Factor a(p). -2*p*(p - 1)*(p + 1)**3/9 Suppose v - 2*t = -1, -5*t - 10 = -5*v - 5. Factor 4 - 2*h - 4*h**v + 0*h - 8*h**3 + 2*h**3 - 16*h**2. -2*(h + 1)**2*(5*h - 2) Let s be (12/15)/((-12)/(-30)). Suppose -s*x = -3*x. Solve x*t - 1/5*t**3 + 3/5*t**2 - 4/5 = 0. -1, 2 Let m = 3 - 2. Suppose 0 = -s - k + 9, -3*k - m = -s - 3*s. Find p such that s*p - 4*p**2 + 4*p - 8 + 2*p**2 = 0. 2 Suppose 7*v - 4*v = -7*v. Factor v - 1/3*w - 2/3*w**2 + 1/3*w**5 + 0*w**3 + 2/3*w**4. w*(w - 1)*(w + 1)**3/3 Let p(x) be the second derivative of x**5/20 + 5*x**4/12 + x**3 + 14*x. Factor p(i). i*(i + 2)*(i + 3) Let j = 94 - 92. Determine w so that 2/7 + 0*w**j - 4/7*w - 2/7*w**4 + 4/7*w**3 = 0. -1, 1 Let v(j) = j**3 + j**2 - j + 1. Let f(g) = 4*g**3 + 8*g**2 - 2*g + 6. Suppose 3 - 27 = -4*q. Let p(a) = q*v(a) - f(a). Factor p(x). 2*x*(x - 2)*(x + 1) Let v(z) be the second derivative of z**3/6 - z**2 - z. Let w be v(2). Factor 2/3*l + w*l**2 + 0 - 2/3*l**3. -2*l*(l - 1)*(l + 1)/3 Let q(r) be the first derivative of 2 + 14/27*r**3 + 2/9*r + 5/9*r**2 + 1/6*r**4. Find k, given that q(k) = 0. -1, -1/3 Let h = 1 - 6. Let i(s) = -s**3 - s**2 + 2*s. Let v(n) = 2*n**3 + 2*n**3 - 3*n - 2*n**3 + n**2. Let x(c) = h*i(c) - 3*v(c). Find o such that x(o) = 0. 0, 1 Solve 2*b - 18*b**2 + 3*b**5 - 12*b**4 + 6*b**2 + b + 18*b**3 = 0. 0, 1 Let h(y) be the first derivative of y**5/5 - y**3 + y**2 - 6. Determine c so that h(c) = 0. -2, 0, 1 Suppose 4*h = w - 5*w + 8, 2*h - 6 = -w. Suppose h*u = 2*c + 6, u + c = -2*c + 12. Find b such that -1/2*b - 1/2*b**2 + 1/2 + 1/2*b**u = 0. -1, 1 Let h(i) be the second derivative of -i**6/45 + 2*i**4/9 + 12*i. Factor h(l). -2*l**2*(l - 2)*(l + 2)/3 Let f(l) be the third derivative of -1/12*l**3 + 0 - 1/120*l**5 + 0*l + 1/24*l**4 - 2*l**2. Factor f(m). -(m - 1)**2/2 Let t(i) = 11*i**2 - 7*i + 2. Let m(u) = -2 - 3*u - 7*u**2 + 9*u - 5*u**2. Let w(v) = 3*m(v) + 4*t(v). Find p, given that w(p) = 0. 1/4, 1 Let k(q) be the third derivative of -q**7/420 + q**6/240 + q**5/120 - q**4/48 - 4*q**2. Solve k(j) = 0 for j. -1, 0, 1 Let d(h) = -27*h**4 + 3*h**3 + 36*h**2 + 75*h + 39. Let g(o) = -7*o**4 + o**3 + 9*o**2 + 19*o + 10. Let z(x) = -4*d(x) + 15*g(x). Find f such that z(f) = 0. -1, 2 Let s(f) be the third derivative of 0*f + 2/45*f**5 + 2*f**2 + 0 - 2/45*f**6 + 0*f**3 + 0*f**4 + 1/105*f**7. Let s(y) = 0. What is y? 0, 2/3, 2 Let 11*a**2 + 3*a**4 - 2*a**2 - 8*a**3 - 3*a - a**3 + 0*a**3 = 0. Calculate a. 0, 1 Suppose 2*n = k + 7, k - 4*n - 1 + 16 = 0. Suppose q - k = -4*b - 15, 0 = -4*q - 3*b - 4. Determine v so that 1/5*v - 1/5*v**q + 0 = 0. 0, 1 Let p(h) be the second derivative of -h**9/720 - h**8/448 + h**7/420 + h**4/12 + 4*h. Let z(b) be the third derivative of p(b). Factor z(k). -3*k**2*(k + 1)*(7*k - 2) Let j = 10 - 12. Let x be -2*(2/j + 0). Determine r so that -x*r**2 - 4/3 - 10/3*r = 0. -1, -2/3 Suppose -1 = 4*d + 3*y, 2*d - y = 3 + 4. Let p(q) be the second derivative of 0 + 1/20*q**4 - 1/10*q**3 - 3*q - 3/5*q**d. Let p(w) = 0. What is w? -1, 2 Let m(s) be the first derivative of 6*s**2 + 6/5*s**5 + 8*s**3 - 2 + 2*s + 5*s**4. Factor m(t). 2*(t + 1)**3*(3*t + 1) Let v(b) = -b + 7. Let u be v(-8). Suppose -7 = 4*i - u. Factor 0 + h - 7/2*h**i. -h*(7*h - 2)/2 Let a be -2 + (-102)/(-27) + 2/9. Let o(p) be the first derivative of -1/9*p**3 + 0*p + 2 + 0*p**a - 1/12*p**4. Factor o(l). -l**2*(l + 1)/3 Suppose -8*i + 18 = -5*i. Let q(w) be the first derivative of 0*w - 10/21*w**3 - 1/7*w**2 + 4/21*w**i + 2/7*w**5 - 3/14*w**4 + 1. Let q(n) = 0. Calculate n. -1, -1/4, 0, 1 Suppose -2*q + l = -56, -3*q + 0*q - 2*l = -70. Factor 4*j**2 + 25*j**4 - 3*j**2 - q*j**4. -j**2*(j - 1)*(j + 1) Let x(t) be the third derivative of -t**8/840 + t**7/525 + t**6/60 + t**5/50 - 28*t**2. Factor x(f). -2*f**2*(f - 3)*(f + 1)**2/5 Factor 4/5*d**4 + 0 + 48/5*d**2 + 32/5*d + 24/5*d**3. 4*d*(d + 2)**3/5 Solve 0 - 1/5*l**3 + 0*l - 4/5*l**2 = 0. -4, 0 Let h(f) = f**4 - f**2 - f. Suppose -8 = -x - x. Let a(s) = 6*s**5 + 12*s**4 + 8*s**3 - 8*s**2 - 10*s - 4. Let m(z) = x*h(z) + a(z). Factor m(i). 2*(i - 1)*(i + 1)**3*(3*i + 2) Factor 1/7*c**2 + 0 - 9/7*c. c*(c - 9)/7 Suppose -2*b - 1 + 5 = 0. Factor -2*g - 6 - 7*g - 20*g**2 + 17*g**b. -3*(g + 1)*(g + 2) Suppose -3*r + 0*s + 4*s - 8 = 0, -4*r = -4*s + 8. Find y, given that 3/5*y**4 - 3/5*y**3 + 3/5*y**5 + 0 + r*y - 3/5*y**2 = 0. -1, 0, 1 Let 128/5 - 6*b**2 - 2/5*b**3 - 96/5*b = 0. What is b? -8, 1 Factor -8*m - 4*m**3 + 12*m**2 - 44*m**2 + 20*m**2. -4*m*(m + 1)*(m + 2) Let u be ((-4)/10)/((-4)/40). Suppose 0 = u*x - 3*x. Factor -i + 0 + x + i**2. i*(i - 1) Suppose -3*y + 8 = -y. Factor -f**2 - 3*f**3 - 3*f**4 + 4*f**4 - f**5 + 0*f**4 - 4*f**y. -f**2*(f + 1)**3 Suppose -4*r - 26 = -10. Let u be 1/4 + 1/r. Determine m so that 0*m**3 + 2/3*m**4 + u + 0*m**2 + 0*m = 0. 0 Let y(u) be the first derivative of -2*u**6/45 + 3*u**5/20 - u**4/6 + u**3/18 + 9*u - 7. Let f(o) be the first derivative of y(o). Factor f(z). -z*(z - 1)**2*(4*z - 1)/3 Let u(g) be the first derivative of -g**3/4 - 3*g**2/4 - 3*g/4 - 3. Let u(w) = 0. Calculate w. -1 Let o(m) be the second derivative of 5*m**4/3 + 5*m**3/6 - 15*m**2/2 + 70*m. Factor o(w). 5*(w + 1)*(4*w - 3) Let l(h) be the third derivative of h**5/270 - h**4/27 + 4*h**3/27 - 11*h**2. Determine m so that l(m) = 0. 2 Let r(n) be the third derivative of -n**7/25 - 2*n**6/75 + 2*n**5/75 - 3*n**2. Suppose r(g) = 0. What is g? -2/3, 0, 2/7 Find r, given that 0 + 0*r - 1/4*r**4 + 1/2*r**2 - 1/4*r**3 = 0. -2, 0, 1 Factor -9*j - 2*j**2 + 4*j**3 + 27 - 25 + 5*j**3. (j - 1)*(j + 1)*(9*j - 2) Let w be (6/210*-12)/((-3)/10). What is v in w*v**2 - 2/7*v + 0 = 0? 0, 1/4 Let t(k) = k**3 - 7*k**2 + 2*k - 3. Let i be t(7). Suppose 2*u - i - 1 = 0. Factor -6 + 4*v**3 - v**2 + u. v**2*(4*v - 1) Suppose -2*s + 18 = -3*d, -4*d - 27 = -3*s + d. Factor m**3 + 2*m**4 + 7*m**3 + s*m**2 + 3*m**2 + 2 + 8*m. 2*(m + 1)**4 Let j be 1/(-70)*(-4)/6. Let m(q) be the second derivative of 1/25*q**5 - q + 0 + 2/75*q**6 - 4/15*q**4 - 2/5*q**2 + 7/15*q**3 - j*q**7. Factor m(c). -2*(c - 1)**4*(c + 2)/5 Let y = 161/164 - 30/41. Suppose 0 - y*r**2 - 1/4*r = 0. Calculate r. -1, 0 Let p be (-6826)/(-1056) + (-22)/(-121). Let w = -21/16 + p. Factor 3 + 8*b + w*b**2. (4*b + 3)**2/3 Factor -16*i**2 - i**4 + 65*i**2 + 3*i**5 + 48*i + 23*i**2 + 3*i**3 - 17*i**4. 3*i*(i - 4)**2*(i + 1)**2 Let k(n) be the third derivative of -n**6/120 - n**5/180 + 2*n**3/3 - n**2. Let z(s) be the first derivative of k(s). Suppose z(h) = 0. Calculate h. -2/9, 0 Factor 2*j**2 - 5*j**2 - 6*j + 2 - 2. -3*j*(j + 2) Let a be 2/4 - (-14)/4. Let t be (a/(-6))/((-16)/18). Factor -1/2*c - 3/4*c**2 + 0 + 1/2*c**3 + t*c**4. c*(c - 1)*(c + 1)*(3*c + 2)/4 Let i = -33 - -101/3. Let f be (0 - -2)*30/20. Solve 2*p**f - i*p - 8/3*p**2 + 4/3 = 0 for p. -2/3, 1 Suppose -4*y = 5*p - 10, -y - 4*y = 0. Solve 0 - 8/3*d - 10/3*d**3 - 16/3*d**p - 2/3*d**4 = 0. -2, -1, 0 Let d(w) = -4*w**5 + 4*w**3 - 8*w**2. Let q(c) = 4*c**5 - c**4 - 4*c**3 + 7*c**2. Let y(x) = 3*d(x) + 4*q(x). Factor y(s). 4*s**2*(s - 1)**2*(s + 1) Let v be (6/4)/((-6)/(-8)). Let a(p) = p - 1. Let h be a(3). What is b in 6*b**2 - h - 4*b**v + 0*b**2 = 0? -1, 1 Let h = -35 - -39. Factor 2/5*o**2 - 12/5*o**3 + 0*o + 0 - 8/5*o**5 + 18/5*o**h. -2*o**2*(o - 1)**2*(4*o - 1)/5 Let z(k) be the first derivative of k**5/5 + k**4/2 + k**3/3 - 13. Factor z(s). s**2*(s + 1)**2 Solve 14 - 2*a**3 + 3 - 4*a**4 - 2*a**5 - 17 = 0 for a. -1, 0 Let c(l) be the first derivative of 4 + 1/30*l**5 + 0*l + 1/6*l**2 - 1/6*l**3 + 0*l**4. Determine t so that c(t) = 0. -2, 0, 1 Let a(d) be the third derivative of 0 - 1/60*d**4 + 0*d**3 + 1/300*d**6 + 1/525*d**7 - 1/150*d**5 + 3*d**2 + 0*d. Factor a(y). 2*y*(y - 1)*(y + 1)**2/5 Let g(z) = -2*z + z + 1 - z**2 + 2*z**2. Let r(q) = 9*q**3 + 9*q**2 - 14*q + 2. Let n be -1*(3 + -4)*-1. Let s(l) = n*r(l) + 6*g(l). Let s(a) = 0. What is a? -2/3, 1 Let j(c) = c**2 + 7*c - 6. Let v be (-3 - -1)*4*1. Let z be j(v). Factor -r**2 - 3 + z + 7*r - 5*r. -(r - 1)**2 Suppose 0*n - 24 = -3*n + 3*p, -5 = 5*n + 4*p. Suppose b = 4*j + n, -7
{ "pile_set_name": "DM Mathematics" }
What is (155/217)/((-14)/(-35)*35/(-42))? -15/7 Evaluate 5 + -7 - 1590/6000*-8. 3/25 Calculate 5808/792*(-63)/(-33). 14 Calculate 13/((-8)/(-14) - 77/49). -13 (1456/(-210))/13*9/(-84) 2/35 20/(-24) - (-3589)/3774 2/17 What is -15*(90/(-150))/(3/(-5))? -15 Calculate -2 + (-6)/3 + (-11)/242*-96. 4/11 Evaluate ((-4)/5)/((-168)/700). 10/3 Evaluate 4/(-6) - (143/33 + 1). -6 What is the value of (-62 + -3)*((-3)/5 + 1)? -26 What is the value of (1 - -1)/((-7)/(-56)*(13 + -21))? -2 What is the value of 0*(-20)/(-380) - 33*3/(-18)? 11/2 What is 7/10 + (-1764)/52920? 2/3 Evaluate 12/60*-65 + 4. -9 What is 52/((-52)/(-3)) + ((-8)/5 - 1)? 2/5 What is 35*5/210 + 3/((-396)/146)? -3/11 Evaluate (-1 - 130/(-88)) + (-6129)/(-22473). 3/4 Calculate ((-10)/18)/((-129)/1161). 5 What is the value of (-264)/352 - 50/(-88)? -2/11 What is -18*3*3/(-162) + 12? 13 ((10/15)/((-20)/(-10)))/(2/66) 11 (-63145)/24220 - (-8)/(-7) -15/4 ((-15)/(-4))/(6/8*-1) - 18 -23 What is (-740)/(-370)*(9 - 1)/(-1)? -16 Evaluate 15 + (-6)/(-14) + 3/(-21)*31. 11 Evaluate (-10 - 3780/(-385))*6. -12/11 What is the value of ((-143)/286)/(2/40)? -10 What is the value of ((-2 - -9)*(-28)/98)/(6/4)? -4/3 What is 3381/308 + 226/9944? 11 Calculate 12 + (-144)/120*8. 12/5 Evaluate -1*1*5/20 + (-703)/(-76). 9 (392 - 410) + 1/(-1) -19 What is the value of (-272)/(-102)*4/80? 2/15 Evaluate (-189)/36 + 7/28 + 0 + 0. -5 What is (18*20/(-90))/(-2)? 2 Calculate 10 + -4 + (-9 - -13). 10 Evaluate ((-25)/75)/((-2)/(-102)). -17 What is the value of 0 - (220/(-250))/22? 1/25 What is 21534/(-2619) - (-32)/(-18)? -10 Calculate (9/2)/((-36 + 56)/(-40)). -9 Evaluate 15*77/(-66)*(-3)/15*-4. -14 Evaluate (141/45 - 3) + 6657/(-315). -21 What is (4 + 3)*680/476? 10 -6*(12/(-832))/3 - (-24)/(-156) -1/8 ((-98)/196)/(2/(-28)) 7 What is (-425)/(-51) - (-1235)/(-195)? 2 What is (-9 - 3*(-34)/12)*2/5? -1/5 (-5)/(36/((-10584)/105)) 14 Calculate 60/90 + 22/(-6). -3 (-4)/(((-2)/(-12))/(580/464)) -30 What is 9/(-261) - (-273)/(-3016)? -1/8 Evaluate 5/(5 + -15)*(-220)/(-33). -10/3 Evaluate (-4)/(-8)*204/(-66) + (-3 - -4). -6/11 What is (25 - 16055/650)*((-70)/72)/(-7)? 1/24 What is (-291 + 292)*(-2)/(-4)*4/(-2)? -1 Calculate (-1)/(-5) - 248/(-310). 1 Calculate (9 + (-20 - -11))/(3 - 2) + 0. 0 (-1)/(6 + 53/(-9)) + 2 -7 (9 - 366/42) + (-484)/77 -6 Evaluate (13149/974)/((-7)/4 - -1). -18 ((-6)/(-16)*(-2 - 2))/(135/(-1980)) 22 ((-26)/(-91))/(-8 + 106/14) -2/3 What is (13/(936/(-90)) - 2/(-8))*-1? 1 Evaluate (1 - 133/(-35))/(45/150). 16 What is the value of 7*6/(-294)*(-2)/(-3)? -2/21 5 - 5/3*377/130 1/6 What is the value of 94/(-1034) - 931/(-77)? 12 -5 - 26 - (-27 - -11) - -25 10 (3 + (-44)/12)/(2517/81 + -31) -9 What is the value of (-60)/(-110) + -5*224/1771? -2/23 Evaluate 81/(212625/(-3290)) + 4/(-50). -4/3 What is (-36)/108 + (-77)/(-105)? 2/5 What is (-5632)/2880 - ((-21)/(-28))/(15/(-8))? -14/9 Calculate (47495/2714)/(1*(-1)/(-2)). 35 -3 - 43*((-2)/(-11) - (-574)/(-2310)) -2/15 What is ((-60)/(-14))/5 - -62*30/84? 23 Evaluate ((-3456)/672)/((-2)/(-7)). -18 What is ((-2)/(-1))/(-10 - 72/(-7))? 7 What is 24/(-320)*(0 - 1 - -3)? -3/20 63/(-42)*(-8)/(-198) + 24/154 2/21 Evaluate (-2 + 21/12)*(8 + (-280)/32). 3/16 What is -11 + -9 + (-9)/(-1) + 6? -5 What is the value of (-2)/(-2) + (-3402)/(-189)? 19 What is the value of 150/9*((-552)/40 + 14)? 10/3 What is -1 + (-176)/(-16) + -21? -11 What is (-340)/(-30) + (-32)/(-12) + -1? 13 Evaluate (0 + (-2)/(-18))/(24/(-144)). -2/3 Calculate 31/(651/(-147)) + 40/6. -1/3 Evaluate -18*((-410)/(-30) - 13). -12 What is -3*(-4)/(-60) - -3*58/(-30)? -6 What is the value of (198/(-27))/(-1 + 10/6)? -11 ((-34)/(-102))/(3/(-171)) -19 Calculate (0 - 1)/(795/225 - (-50)/(-15)). -5 What is the value of 2 + 7/(112/(-48))? -1 Evaluate (-972)/24 - (54/(-36) + -1). -38 What is the value of (-5)/6*((-13338)/1425 - -9)? 3/10 3375/(-855) + (-1)/19 -4 Evaluate (-255)/(-36) + (44 - 51). 1/12 What is the value of (9/(-21))/(((-49)/(-7))/(-98))? 6 What is the value of (-1)/(-10) - (6 - 195/50)? -2 Calculate 0/(17*35/119). 0 Evaluate (-3526)/14964 - 6/(-87). -1/6 8 - (2/(-6))/(116/(-1392)) 4 What is the value of 6 - (638/55 + -4)? -8/5 Calculate 45/75*115/3 - 0. 23 ((-38103)/(-2574) - (4 + 10)) + (-4)/6 3/22 What is the value of 7*(-1341)/(-819) + -55 + 44? 6/13 Evaluate 3 + ((-63)/396 - (-4)/16 - 3). 1/11 What is the value of (-48 - (-12933)/270)/((-4)/(-30))? -3/4 What is the value of (123/(-132) - 16/(-88))/((-2)/(-8))? -3 Calculate (298/(-15) - -20)/((-4)/(-10)*2). 1/6 Calculate ((-171)/2280*20)/(2/12). -9 What is the value of (-14)/(-4) - ((-162)/18 + 11)? 3/2 -4*612/(-176) + (-4)/44*-1 14 Evaluate ((-29)/10 - -3)/(2112/1920). 1/11 Calculate -30*8/504 - (-2)/6. -1/7 What is (51/6 + -3)/(-1*(-4)/(-8))? -11 Evaluate (-549)/54 - 35/105. -21/2 Evaluate (14/(-2) - 368/(-56)) + 90/14. 6 786 - 788 - (1*-2 - 10) 10 (168/16 + -1)*40/100 19/5 Calculate (-285)/18 - 7 - (200/48 - 4). -23 Calculate 40/(-16)*(-16)/220 - 24/33. -6/11 Evaluate (2830/1132)/((1 + 0)*3). 5/6 Evaluate 8 - (194/18 - (-22)/99). -3 (2/(-3))/(12 + 667*(-26)/1443) 37 What is the value of (15/70)/((-1176)/(-140)*(-50)/(-49))? 1/40 What is ((-2)/(-13) + 294/117)*75/300? 2/3 What is ((-8)/(-6))/(102/(-918))? -12 What is the value of -15 + -10 - (-1939)/77? 2/11 (-46 - -43) + 3*(2 + 1)*1 6 (-1)/(768/60 + -13) 5 What is the value of 2/(-38) - (-9)/171? 0 What is the value of ((-1)/(4 - (-24)/(-4)))/((-1512)/(-112))? 1/27 What is -7 - (2 + -16) - (-129)/(-21)? 6/7 (-16)/3*45/(-240) 1 2/56 + (-42117)/(-8484) 5 Evaluate ((-264)/198)/((-56)/63). 3/2 What is (69 - 70)*((-681)/(-21) + (-4)/(-7))? -33 What is ((-2)/(-5) - (-504)/(-90))*5? -26 Evaluate (-33 + 31)*(2 + -1). -2 What is 2*81/(-6) - (-3 - -6)? -30 0/9 - ((-83)/17 - 52/442) 5 What is the value of 56/560 - 59*3/(-30)? 6 What is the value of -4*(50/156 + (-103)/309)? 2/39 (15876/8232)/(3/28) 18 (1565/225 - 7)*30/24 -1/18 (150/(-105))/(-10)*1/(1 + 0) 1/7 Calculate -7*5/(-10)*68/(-119)*-4. 8 Evaluate (-3)/6 + ((-46)/8 - (-375)/75). -5/4 What is (-2)/(-8)*(-8)/7*(-91)/(-78)? -1/3 Calculate 372/(-558) - (-4)/((-16)/(-6)). 5/6 Calculate 7 + 12614/406 + -38. 2/29 Evaluate ((-207)/(-18) - 11)/((-2)/(-108)). 27 What is 1287/(-36) + (-1674)/(-216)? -28 Evaluate (-3 - (-1 + 1)) + ((-429)/9)/(-13). 2/3 Calculate ((6/2)/(510/(-1972)))/(12/(-30)). 29 Calculate -6 + (15/(-4))/(3553/228 + -16). 3 What is (-5 + 3 + 0)/(238 + -244)? 1/3 What is the value of (-13 + 1 + (-4004)/(-336))/((-52)/32)? 2/39 Evaluate 4/(-34) + 116/3672*9. 1/6 What is the value of ((-655)/100)/(165/(-220)) + -9? -4/15 1241/(-68) + (-13)/(-4) + 14 -1 (1/2)/(30/(-27) + 637/588) -18 Evaluate 16/(-24)*(-16)/32. 1/3 Calculate (-1014)/(-338)*13*(-2)/6. -13 What is ((-66)/135 - (-11)/(-99))*105/(-9)? 7 Evaluate (15/140 - 0)/(-2 + (-50)/(-24)). 9/7 Calculate (1/(-10))/((-89)/(-356)). -2/5 Evaluate (-81)/(-54)*(1360/345 + -4). -2/23 Evaluate (-161)/(-46)*28/(-343). -2/7 What is the value of 6/28*-2 - 13320/5180? -3 What is the value of ((-6)/72)/(2/(-20))*(-36)/(-120)? 1/4 Evaluate (2*15/(-50))/(13/260). -12 What is 7*63/(52479/(-56))? -8/17 Calculate ((-138)/4)/(-23)*(-199)/(-30) + -10. -1/20 Calculate (20/(-6) + 3)/(-7 + (-1524)/(-216)). -6 3*(-9)/(-36) + (-540)/(-48) 12 (-7)/((3/6)/(8/(-80))) 7/5 60/(-1344)*-14*8 5 Evaluate 4/(-4)*(-146)/(-1533). -2/21 Calculate ((-21)/14)/(12/10) + (-6552)/672. -11 Evaluate 6/(-4) - (18 + 33 + -54). 3/2 Evaluate (-7833)/(-3730)*(2 - (-24)/(-14)). 3/5 What is the value of (-11)/(-132)*(-576)/(-360)? 2/15 What is 8 - (-1)/((-221)/1742) - 321/(-306)? 7/6 13144/27030 - (2/60)/(2/8) 6/17 10/168*(-26)/(-65) 1/42 Evaluate (-20 - -11)*(-16)/(-12). -12 16/(-13)*(192 + -205) 16 What is the value of 2/(-23 - 1)*1*(2 + -18)? 4/3 What is the value of 2 + (-16)/16*1? 1 What is 806/(-390) + 4/6? -7/5 (15/(-55))/(((-21)/(-4))/(-7)*2) 2/11 What is the value of -3 - -2 - 320/(-288)? 1/9 Evaluate (-1 + 6)/((-9 + 10)/(-1)). -5 What is ((-492)/28044)/((-1)/(-3))? -1/19 (-1)/(527/51 + -10) -3 Calculate (-20 + 14)*((-171)/54)/19. 1 What is (-4*1 - (-1 + -1)) + (-121)/(-242)? -3/2 What is the value of (-2)/((-24)/(-9))*4914/(-3159)? 7/6 Evaluate 1/((-2006)/1292 - (-3)/2). -19 What is (7/(-56))/((-1)/(-16))? -2 Calculate (7 - (-1)/((-
{ "pile_set_name": "DM Mathematics" }
hich is the second biggest value? (a) 3 (b) -0.1 (c) 4 (d) 0.8 a What is the second biggest value in 0.2, 9, -3/7, 0.4? 0.4 What is the biggest value in 11768, -3/7, 4? 11768 What is the fourth biggest value in 0.1, 3/5, -1/4, -4? -4 Which is the third smallest value? (a) -4 (b) 5 (c) -26 (d) -1/7 (e) -3 e Which is the biggest value? (a) 6 (b) 0 (c) 2/9 (d) -31 a Which is the smallest value? (a) 1 (b) 790 (c) 2 a Which is the third smallest value? (a) -64 (b) 5 (c) -1 b Which is the biggest value? (a) -2/9 (b) 0.1 (c) -15 b What is the fourth biggest value in 2/3, -0.08, -3, 1/3? -3 What is the smallest value in -0.03, 0, -634? -634 Which is the biggest value? (a) 0.09 (b) -0.047 (c) 3 c What is the second smallest value in 0.1, -1/3, -1/12, -0.12? -0.12 Which is the second smallest value? (a) 4 (b) -4.8 (c) -9 b What is the second smallest value in -4/9, -5, 2/7, -4? -4 What is the third smallest value in 69, -0.2, 3? 69 Which is the fourth smallest value? (a) -0.3 (b) 11 (c) -9 (d) -5 b What is the third smallest value in 5, -2/33, -2, 3/4? 3/4 What is the third biggest value in -0.09, 0.3, 5, 4? 0.3 Which is the second biggest value? (a) 17/4 (b) -2/5 (c) 6/5 (d) -14 (e) 2/3 c Which is the biggest value? (a) 4/5 (b) 1.8 (c) -3 (d) -3/5 b Which is the third biggest value? (a) 0.5 (b) -1/2 (c) -3/5 (d) -2 c Which is the second biggest value? (a) -2/3 (b) -0.3 (c) -0.1 b What is the fifth biggest value in -0.06, -4, -6/11, 43, 2/3? -4 What is the second smallest value in -0.3, 2/7, 0.2? 0.2 What is the smallest value in 4/5, -1/5, 13, -3? -3 What is the second smallest value in -1, -48, 145? -1 Which is the fourth biggest value? (a) -0.1 (b) -2 (c) 3/2 (d) 52 (e) -5 b Which is the second biggest value? (a) 12/11 (b) 0.09 (c) -2/29 b What is the second biggest value in -0.1, -0.11, 2/5, 5? 2/5 What is the third smallest value in 0.1, -4, -4.3? 0.1 What is the fourth smallest value in 14, -5, -1/8, -1? 14 What is the second biggest value in 1/7, -0.4, 4/7, -5? 1/7 What is the second smallest value in -3, 3, 80? 3 Which is the third biggest value? (a) -8 (b) -2 (c) -122 c What is the second biggest value in -3, -0.0192, 3? -0.0192 Which is the smallest value? (a) -3 (b) 17 (c) -31 c What is the second biggest value in -1/5, -2, 1.2, 4, 9? 4 What is the third biggest value in -1, 0, 1/4, 4? 0 What is the third smallest value in -1, 2, -0.1, 4? 2 Which is the smallest value? (a) 0 (b) 8/15 (c) -2 c Which is the second smallest value? (a) 1 (b) -333 (c) -2/5 c What is the third smallest value in 0.5, 4, -2.3, 9, 6? 4 What is the third biggest value in 0, -1/10, 0.3? -1/10 Which is the smallest value? (a) 0.24 (b) -2/9 (c) 109 b Which is the fourth smallest value? (a) 3/10 (b) 6 (c) -1 (d) -2/29 b Which is the third biggest value? (a) 0.3 (b) -4 (c) 1 (d) -9/7 d What is the second biggest value in -2, -3, -1/20, 0.3, -2/15? -1/20 Which is the smallest value? (a) -62 (b) -2/85 (c) 0.5 a Which is the biggest value? (a) 1 (b) -0.05 (c) 0.1 (d) 0.3 a Which is the second smallest value? (a) -1/2 (b) -0.03 (c) -41/6 a Which is the second smallest value? (a) 42 (b) -2/9 (c) -5/4 (d) 8 b Which is the third smallest value? (a) 0 (b) 1/3 (c) -35 (d) -2/5 a What is the biggest value in 7, 2, 14, 1? 14 What is the third biggest value in -5, -0.2, 5, 9? -0.2 Which is the third biggest value? (a) -6 (b) -5 (c) 2/11 (d) -1 b Which is the fourth biggest value? (a) 2/19 (b) -0.6 (c) -2/9 (d) 4 b Which is the biggest value? (a) -7 (b) 0.05 (c) -26 b Which is the fourth biggest value? (a) -1/3 (b) -1/6 (c) -1/2 (d) -4 (e) 1/2 c What is the biggest value in 1, -7, 4, 0, -2? 4 Which is the biggest value? (a) 0.5 (b) 2063/3 (c) -5 b What is the second biggest value in 5, -0.4, 2/177, -0.1? 2/177 Which is the biggest value? (a) 134 (b) -2/87 (c) -1 a Which is the second biggest value? (a) -0.5 (b) 0.11 (c) -0.4 c Which is the fourth biggest value? (a) -0.04 (b) -0.2 (c) 4 (d) -5 d Which is the second smallest value? (a) 1 (b) -0.01 (c) 1/7 (d) 6.9 (e) -5 b Which is the smallest value? (a) -1 (b) 1 (c) 22 a Which is the third smallest value? (a) 5 (b) -0.3 (c) 0.06 a What is the second biggest value in 4, 24/5, -1/3, -0.1? 4 What is the smallest value in 0.4, 1, -2/9, -174? -174 What is the second smallest value in 0, -5, 8? 0 What is the second smallest value in -1320, -4, -3, -0.2? -4 What is the second biggest value in 2/3, -2/15, 1, 18.1? 1 What is the second biggest value in 0.17, -1, 0.2, -5, 0.5? 0.2 Which is the second smallest value? (a) 5 (b) -21/17 (c) 2 c What is the second smallest value in -13, -0.4, 2/9? -0.4 Which is the third biggest value? (a) -0.047 (b) -2/11 (c) -1/10 (d) -2 (e) -4 b Which is the biggest value? (a) 46 (b) -88 (c) 4 a What is the second smallest value in 0.01, 122, -1/11? 0.01 Which is the third biggest value? (a) 5 (b) -1/9 (c) 3 b Which is the second biggest value? (a) 0.06 (b) 0.2 (c) -1/4 (d) -1/5 (e) -10 a Which is the biggest value? (a) 2 (b) -1.2 (c) -2/5 a What is the smallest value in -113, 4, -2/7? -113 What is the biggest value in -2/5, -2/3, -0.2, -132? -0.2 What is the third biggest value in 0.73, 0.5, 3? 0.5 Which is the second smallest value? (a) -13 (b) -8 (c) -0.3 b What is the fourth biggest value in 3, -0.6, -0.3, -256, -0.2? -0.6 What is the third biggest value in 0.4, -0.2, -6, 0? -0.2 Which is the second biggest value? (a) -4/11 (b) 15 (c) 0.4 c What is the second smallest value in -2, -1/5, 0? -1/5 Which is the fourth smallest value? (a) 1/5 (b) -3 (c) 1 (d) 20 d Which is the second biggest value? (a) 1.5 (b) 24 (c) 4 c What is the second smallest value in 3/8, -5, -0.5, 23, -0.1? -0.5 What is the second biggest value in 80, 2, 0.5? 2 What is the third smallest value in 8/5, 5, 1/4, -1/6, 0? 1/4 What is the fourth smallest value in 2/3, 0.5, 1, -17? 1 Which is the third biggest value? (a) -44/7 (b) 4 (c) 5 a Which is the second biggest value? (a) -4 (b) -361 (c) 5/3 a What is the third smallest value in 1, -1, 0? 1 What is the second smallest value in 4, -0.2, -77? -0.2 Which is the second smallest value? (a) 5 (b) 2/3 (c) 0.2 (d) 24 b Which is the second smallest value? (a) 3 (b) 0 (c) -0.5 (d) -4 c Which is the second smallest value? (a) 3/4 (b) 0.4 (c) 2/11 b Which is the smallest value? (a) 151 (b) 2/9 (c) -5 c Which is the smallest value? (a) -0.4 (b) -3 (c) 2.79 (d) 3 b Which is the second smallest value? (a) 0.4 (b) 0.7 (c) 5 b Which is the second smallest value? (a) -3 (b) -5 (c) 5 (d) -3.5 d What is the third biggest value in 4/9, -9/4, -7? -7 What is the third smallest value in -4.1, -5, 0.5? 0.5 Which is the fourth smallest value? (a) 4 (b) -0.01 (c) -3 (d) -2.2 a What is the smallest value in 29, 2/35, 1/2? 2/35 Which is the third smallest value? (a) -5 (b) 4/3 (c) -16/9 b What is the second biggest value in 0.4, -4/3, 6, -2/5, 4? 4 What is the biggest value in 1/5, 2/15, -2/9, 1/10, -2/11? 1/5 Which is the third smallest value? (a) -3 (b) -5 (c) -2/101 (d) -0.4 d What is the smallest value in -5, 3, 28? -5 Which is the fourth smallest value? (a) -5 (b) 2/13 (c) -1/42 (d) -0.4 b Which is the fifth biggest value? (a) 1 (b) 2 (c) -89 (d) -4 (e) -0.1 c Which is the biggest value? (a) 1 (b) -5 (c) -0.03 (d) 5 d Which is the biggest value? (a) -2/9 (b) -57/8 (c) 2 c Which is the biggest value? (a) 2 (b) -1.51 (c) 5 c What is the second smallest value in -4, 21, -2/7, 0.2? -2/7 What is the biggest value in -0.6, -3, 5/3, 8? 8 Which is the biggest value? (a) 0.5 (b) 2.8 (c) 4 (d) -6 c What is the third biggest value in -14, -0.16, -1, 1/4? -1 What is the biggest value in 2/25, -9, -5, -0.5? 2/25 Which is the fourth biggest value? (a) 3 (b) 5/6 (c) 119 (d) -1/3 d Which is the biggest value? (a) -6 (b) -21 (c) -3 c Which is the fourth smallest value? (a) -5/3 (b) 0.08 (c) -296 (d) 0 b Which is the smallest value? (a) -1.1 (b) -58 (c) 3 b What is the fourth smallest value in -3, -33/5, 1, 15? 15 Which is the third biggest value? (a) 20 (b) -0.04 (c) -3 (d) 4
{ "pile_set_name": "DM Mathematics" }
) = -6*b**2 + 5*b - 2. Suppose -d - 5*v = 1, 5*d = 2*d + v + 13. Let s(x) = -5*x**2 + 4*x - 2. Calculate d*l(j) - 5*s(j). j**2 + 2 Let k(w) = -w**2 + 3*w + 6. Let p(f) = f**2 - 4*f - 6. Let i(g) = 4*k(g) + 3*p(g). Let j(l) = l**2 - 5. Give -5*i(o) - 6*j(o). -o**2 Let z(d) = -3*d**2 + 4*d + d - 4*d**2. Let u(w) be the first derivative of 13*w**3/3 - 9*w**2/2 - 6. Give -6*u(o) - 11*z(o). -o**2 - o Let n(z) = -4*z**3 + z**2 + 3*z + 3. Let t be 8/36 - 292/18. Let u = 11 + t. Let l(y) = 7*y**3 - y**2 - 5*y - 5. Determine u*n(f) - 3*l(f). -f**3 - 2*f**2 Let x(w) = 2*w**3 + 6*w**2 - 4*w - 1. Let a(f) = -4*f**3 - 13*f**2 + 9*f + 2. Calculate 4*a(r) + 9*x(r). 2*r**3 + 2*r**2 - 1 Suppose -5 = 2*w - 3. Let i(z) = z**3 + 1. Let o(b) be the second derivative of 1/20*b**5 + 2*b + 1/6*b**3 + 0*b**4 + 0*b**2 + 0. Give w*i(k) + 2*o(k). k**3 + 2*k - 1 Let k(l) = l - 1. Let f(v) = 15*v - 9. Let z(m) = f(m) - 4*k(m). Let o(s) = -7*s + 3. Let b be -1 - 18/(2 + -5). Determine b*z(i) + 8*o(i). -i - 1 Let y(b) = -4*b**2 + 2*b - 3. Let f(c) = -c**2 + c. Suppose 9*z - z = -16. Give z*f(i) + y(i). -2*i**2 - 3 Let f(o) = -o + 44. Let r(v) = -5*v + 219. Give 11*f(z) - 2*r(z). -z + 46 Let n(v) = -v - 1. Let d(j) be the second derivative of -j**4/4 + j**3/3 + j**2 - 35*j. Calculate d(u) + 2*n(u). -3*u**2 Let d(u) = 7*u**2 - 2. Suppose 0 = -4*v - 16, 2*z - v = 2*v. Let b(a) = -6 - 4 + 20*a**2 + 4. Determine z*b(h) + 17*d(h). -h**2 + 2 Let y(x) = -24*x**3 + 4*x**2 - 14. Let l(v) = -5*v**3 + v**2 - 3. Suppose 5*j + 75 = n, 2*n = 3*j - 2*j + 24. Determine j*l(w) + 3*y(w). -2*w**3 - 2*w**2 Let i(t) = -t**3 + t - 1. Let k(p) be the second derivative of -p**5/10 + p**4/12 + p**3/6 - p**2/2 - 2*p. Calculate 2*i(c) - 2*k(c). 2*c**3 - 2*c**2 Let h(k) = 6*k**2 + 3*k + 2. Suppose -31 = 3*g - 16. Let f(d) = -5*d**2 - 2*d - 1. Give g*f(r) - 4*h(r). r**2 - 2*r - 3 Let t(d) = 6*d. Let k = -15 - -28. Suppose -5*y + 4*b = -11, -3*y - b - 3*b + k = 0. Let w(a) = 11*a. Give y*w(u) - 5*t(u). 3*u Let p(y) = -9*y - 9. Let d(s) = 4*s + 5. What is 5*d(m) + 2*p(m)? 2*m + 7 Let f(l) = 4*l**2 - l + 2. Let g(k) = -13*k**2 + 4*k - 7. What is -7*f(o) - 2*g(o)? -2*o**2 - o Let p(l) be the second derivative of 2*l**3/3 - l**2/2 - l. Let x(d) = 9*d - 3. Suppose -2 = -w + 3. Calculate w*p(u) - 2*x(u). 2*u + 1 Let y(k) = -7*k**3 - 14*k**2 - 14*k - 14. Let b(a) = a**2 + a + 1. Give -14*b(p) - y(p). 7*p**3 Let d(r) = -6*r**2 - 20*r - 4. Let b(p) = -5*p**2 - 19*p - 3. Calculate -4*b(y) + 3*d(y). 2*y**2 + 16*y Let r(a) = a**3 + a**2 + a - 1. Let o(z) = -14*z**3 - 10*z**2 - 6*z + 12. Calculate o(n) + 12*r(n). -2*n**3 + 2*n**2 + 6*n Let j(b) = b**2 - b - 1. Let i(a) = 5*a**2 - 6*a - 6. Let s(x) = -2*x - 18. Let n be s(-12). Determine n*j(q) - i(q). q**2 Let j(s) = -2*s - 8. Let y(i) = i + 5. What is 5*j(g) + 8*y(g)? -2*g Let m(l) be the first derivative of -3*l**3 + 6*l + 17. Let y(v) = -5*v**2 + 3. What is 4*m(d) - 7*y(d)? -d**2 + 3 Let d(t) = -t**2 + t - 1. Let s(z) = -z. Let w(a) = 12*a**2 - 13*a + 11. Let i(h) = 2*s(h) - w(h). What is 22*d(c) - 2*i(c)? 2*c**2 Let c(z) = 5*z + 5. Let o(s) = s**3 - 6*s - 6. What is -6*c(a) - 5*o(a)? -5*a**3 Let c(b) = 3*b**2 + 4*b - 4. Let g(x) = x - 7. Let r be g(8). Let m = -8 + 12. Let k(u) = -u + 1. Calculate m*k(y) + r*c(y). 3*y**2 Let x(d) = d**2 + 3*d - 5. Let m be x(-4). Let o(k) be the first derivative of k**4/4 - k + 16. Let p(h) = h**2 - h + 1. What is m*p(b) - o(b)? -b**3 - b**2 + b Suppose 0 = -2*h + 6 - 2. Suppose -h*w + 0 + 12 = 0. Let a(l) = -2*l + w*l - 4*l**3 + 4*l - 10*l**3. Let n(r) = 5*r**3 - 3*r. Determine -3*a(f) - 8*n(f). 2*f**3 Let w(s) = -s**3 - 6*s**2 - s + 6. Let y(r) = 28*r**2 + 2 - 1 - 29*r**2. Give w(g) - 6*y(g). -g**3 - g Let i(w) = 9*w**2 - w. Let n(t) = t**2 + t + 7. Let d be n(0). Let z(v) = -8*v**2 + v. Give d*z(u) + 6*i(u). -2*u**2 + u Let i(u) = 7*u. Let p(t) = 8*t. What is -2*i(g) + 3*p(g)? 10*g Let p(m) = 3*m**2 - 2*m + 2. Let s(r) = -7*r**2 + 4*r - 5. Suppose 0 = 4*a + 3 - 19. Determine a*s(y) + 9*p(y). -y**2 - 2*y - 2 Let d(z) = -z**2 - z. Let j(o) = 3*o**2 - 4*o + 2. Give 4*d(k) - j(k). -7*k**2 - 2 Let m(z) = -6*z**3 - 6*z**2 + 4*z + 2. Let b(f) = -f**3 - f**2 + f. Calculate 4*b(o) - m(o). 2*o**3 + 2*o**2 - 2 Let q be 2*(3 - (-1)/(-2)). Let t(f) = 6*f**2 - q*f**3 + 5*f + f + 12*f**3 - 2*f. Let h(i) = 20*i**3 + 17*i**2 + 11*i. Give -4*h(b) + 11*t(b). -3*b**3 - 2*b**2 Let u(y) = 16*y**3 + 4*y**2 + 2. Let n(k) = -15*k**3 - 5*k**2 - 3. What is 2*n(l) + 3*u(l)? 18*l**3 + 2*l**2 Let p = 11 + -6. Let l(o) = 5*o**3 - 4*o**2 + 4*o - 4. Let a(k) = k - 2. Let g be a(-2). Let y(i) = 6*i**3 - 5*i**2 + 5*i - 5. Give g*y(q) + p*l(q). q**3 Let r(o) = 14*o - 25. Let v(u) = -5*u + 8. Determine -3*r(b) - 8*v(b). -2*b + 11 Suppose 3*h + 4 - 9 = -2*b, -4*h = -b - 3. Suppose -r - 8 = -5*r. Let m be r - 6 - (2 - b). Let q(y) = y**3 + 8. Let z(o) = -o**3 - 7. Give m*q(c) - 6*z(c). c**3 + 2 Let q(l) = -6*l**2 + 15*l. Let k(n) = 3*n**2 - 7*n. Calculate 13*k(s) + 6*q(s). 3*s**2 - s Let k(s) = 4*s + 5. Let c(n) be the first derivative of -3*n**2/2 - 4*n - 76. Determine 6*c(z) + 5*k(z). 2*z + 1 Let u = -8 + 3. Let i(j) = -6*j**2 + j + 5. Let v(n) = 5*n**2 - 5*n - 4. Let t(p) = 5*p**2 - 4*p - 4. Let k(d) = -4*t(d) + 3*v(d). Determine u*k(q) + 4*i(q). q**2 - q Let a(q) = -23*q - 12. Let y(o) = -15*o - 8. Let b(f) = -5*a(f) + 8*y(f). Let r(v) = -2*v - 2. Determine -3*b(s) + 7*r(s). s - 2 Let v(z) = 14*z**3 - 6*z + 6. Let d(b) = 27*b**3 - 13*b + 13. Give 6*d(f) - 13*v(f). -20*f**3 Let o(q) = 3*q**2 + 2. Let p be o(-2). Let b(i) = 4*i + 4. Let f(m) = 9*m + 9. Calculate p*b(h) - 6*f(h). 2*h + 2 Let i(y) = -8*y**2 - 1. Let x(c) = 7*c**2 + 1. What is -5*i(z) - 6*x(z)? -2*z**2 - 1 Let y(i) = 2*i**3 + 2*i**3 - i**3 - 9*i. Suppose -10 = -4*w - w + 3*f, -2*w = 5*f - 35. Let x(r) = r**3 - 4*r - 2*r**3 + 2*r**3. Calculate w*x(z) - 2*y(z). -z**3 - 2*z Let o(s) = -s**3 + 8*s + 5. Let m(p) = p + 1. Calculate 5*m(c) - o(c). c**3 - 3*c Let n(p) = -13*p**2 - 4*p - 3. Let k(o) = -o - 1. Calculate -4*k(b) + n(b). -13*b**2 + 1 Let t(q) = -9*q - 27. Let z(v) = -2*v - 5. Let r(u) = -2*t(u) + 11*z(u). Let l(h) = 4*h + 1. Determine 6*l(o) + 5*r(o). 4*o + 1 Let c(g) = -14*g + 7. Let w(j) = 5*j - 2. Determine 3*c(q) + 8*w(q). -2*q + 5 Let l = -10 + 15. Let h(o) = 1. Let k(d) = 2*d**2 - 2*d + 6. Calculate l*h(u) - k(u). -2*u**2 + 2*u - 1 Let d(z) = -9*z + 4. Let m(g) = -3*g + 1. Calculate 2*d(t) - 7*m(t). 3*t + 1 Let v(r) = -4. Let x(b) = -b - 1. Let l be 1 - (1 + 1 + 0). Determine l*v(h) + 3*x(h). -3*h + 1 Let z(c) = 3. Let w(d) = -10*d + 13. Let f(a) = -7*a + 9. Let l(x) = -7*f(x) + 5*w(x). Determine -3*l(y) + 2*z(y). 3*y Let u(y) = -y**2 - 2*y + 1. Let d(r) = 4*r**2 + 9*r - 5. Let m(x) = -9*x - 4*x**3 - 5 - 3 + 5*x**3 - 9*x**2. Let f be m(10). Determine f*d(t) + 9*u(t). -t**2 - 1 Let b(u) = 1 + 2 + 6 - 7. Suppose -3 = -m - 1. Suppose 2*a - 3 = 5*a. Let x(g) = g. Determine a*b(q) + m*x(q). 2*q - 2 Let x(b) = -8*b + 0*b + 9*b. Let t(h) = -3*h - 1. Let w(d) = -3*d - 1. Let r(y) = -6*t(y) + 7*w(y). Calculate 2*r(o) + 5*x(o). -o - 2 Let f = 131 - 127. Let j(s) = -s. Let i(b) = -2 - b - 5*b + 1. Let p be (-2)/6*1*3. Determine f*j(v) + p*i(v). 2*v + 1 Let u(x) = 2*x. Let o(q) = -8*q + 1. Give 2*o(k) + 6*u(k). -4*k + 2 Let p(u) = -4*u**2 - 14*u - 4. Let f(t) = t**2 + t + 1. Determine -5*f(v) - p(v). -v**2 + 9*v - 1 Let n(c) = -c - 4. Let q(b) = 3*b + 13. Determine 11*n(u) + 4*q(u). u + 8 Let t be 3/2*(-2)/(-3). Let w(f) be the second derivative of -f**2/2 + 22*f. Let q(v) = -2*v. What is t*w(g) - q(g)? 2*g - 1 Let u(g) = 12*g + 4. Let a(h) = 13*h + 5. Give -6*a(i) + 7*u(i). 6*i - 2 Let m(t) = -t**2 - t + 1. Let c(w) = w**3 + 7*w**2 + 8*w + 5. Let s be c(-6). Let p = s - -3. Let d(h) = 6*h**2 + 6*h - 4. Let y = -2 + 1. Give p*m(i) + y*d(i). -2*i**2 - 2*i Let i(a) = -50*a**2 - 4*a + 2. Let l(o) = 99*o**2 + 9*o - 4. Determine 9*i(c) + 4*l(c). -54*c**2 + 2 Let c(x) = 2*x + 12. Let m(j) = j + 8. Give -5*c(h) + 8*m(h). -2*h + 4 Let t(w) = -14*w + 2. Let m(j) = -1. Determine -4*m(y) - t(y). 14*y + 2 Let n(d) = -30*d**3 + 4*d**2 + 2*d + 2. Let a(u) = -149*u**3 + 21*u**2 + 11*u + 11. Determine 2*a(s) - 11*n(s). 32*s**3 - 2*s**2 Let f(g) = g**3 + 3*g**2 + 6*g + 1. Let x(r) = 2*r**2 + 5*r. Suppose -12 = 19
{ "pile_set_name": "DM Mathematics" }
mmon factor of 70 and 19362? 14 Calculate the greatest common factor of 1205075 and 19. 19 What is the greatest common factor of 17766 and 66458? 658 What is the highest common divisor of 222 and 27158? 74 What is the highest common divisor of 214 and 153438? 214 What is the highest common divisor of 307335 and 1533? 21 Calculate the highest common factor of 1631745 and 81. 81 Calculate the greatest common factor of 78013 and 17. 17 Calculate the greatest common factor of 20 and 562805. 5 What is the greatest common divisor of 294 and 252056? 98 Calculate the greatest common divisor of 539962 and 4. 2 What is the highest common divisor of 11840 and 32960? 320 Calculate the greatest common factor of 137517 and 161. 23 What is the highest common divisor of 637192 and 12? 4 Calculate the highest common factor of 21618 and 1044. 18 What is the highest common factor of 1188 and 272646? 594 What is the greatest common divisor of 198156 and 336? 84 What is the highest common factor of 135660 and 4930? 170 What is the greatest common divisor of 2976 and 5797? 31 Calculate the greatest common divisor of 104 and 1120964. 52 What is the greatest common factor of 56 and 2984? 8 What is the greatest common factor of 447 and 68093? 149 Calculate the highest common factor of 469 and 58156. 469 What is the greatest common divisor of 89401 and 338? 169 Calculate the greatest common factor of 1206 and 382302. 1206 What is the highest common factor of 2405986 and 22? 22 Calculate the highest common factor of 45 and 14826195. 45 What is the highest common factor of 541722 and 226? 226 Calculate the greatest common factor of 62 and 255967. 31 Calculate the highest common divisor of 3234864 and 912. 912 What is the highest common divisor of 1903567 and 172? 43 Calculate the greatest common factor of 84 and 25068. 12 Calculate the highest common divisor of 15961 and 7799. 11 Calculate the greatest common factor of 132 and 17919. 33 Calculate the greatest common factor of 9206187 and 1587. 1587 What is the greatest common divisor of 23425 and 113377? 937 What is the highest common factor of 64210 and 130? 10 What is the highest common factor of 70 and 304815? 35 What is the highest common factor of 4725 and 94815? 315 What is the greatest common divisor of 1710 and 9810? 90 Calculate the highest common factor of 3579 and 57. 3 What is the highest common divisor of 2692948 and 892? 892 Calculate the greatest common divisor of 53202 and 6. 6 What is the highest common factor of 149150 and 5130? 190 Calculate the greatest common factor of 294330 and 30. 30 What is the greatest common factor of 3168 and 38544? 528 What is the highest common factor of 494 and 10322? 26 Calculate the greatest common divisor of 616 and 5367208. 616 What is the highest common factor of 30324 and 420? 84 Calculate the highest common divisor of 11139 and 282. 141 What is the greatest common divisor of 721708 and 1508? 52 Calculate the greatest common factor of 54957 and 4389. 21 Calculate the greatest common divisor of 437592 and 168. 24 Calculate the highest common factor of 1967 and 70. 7 What is the highest common divisor of 3 and 1167897? 3 What is the highest common divisor of 3336 and 96? 24 Calculate the highest common factor of 157447 and 632. 79 What is the highest common divisor of 891 and 2547? 9 Calculate the highest common factor of 36 and 20322. 18 Calculate the greatest common divisor of 93123 and 27. 27 Calculate the highest common divisor of 236 and 24828. 4 Calculate the highest common divisor of 72 and 792. 72 Calculate the highest common factor of 124701 and 4137. 591 What is the greatest common factor of 24 and 188808? 24 Calculate the highest common divisor of 23427 and 6. 3 Calculate the greatest common factor of 372 and 186168. 12 Calculate the highest common divisor of 4730 and 6794. 86 Calculate the greatest common factor of 1885406 and 464. 58 Calculate the greatest common factor of 73324 and 736. 92 What is the greatest common factor of 6811 and 98? 49 Calculate the greatest common factor of 228116 and 16. 4 What is the highest common divisor of 1092 and 2058? 42 What is the highest common divisor of 96 and 16518? 6 Calculate the greatest common factor of 95 and 1485. 5 What is the highest common factor of 55731 and 191486? 1429 What is the highest common divisor of 14400 and 3980? 20 What is the highest common divisor of 639 and 7875? 9 What is the greatest common factor of 204 and 68724? 12 Calculate the highest common divisor of 8 and 567928. 8 What is the greatest common divisor of 2594218 and 1628? 814 Calculate the highest common factor of 512 and 12976. 16 What is the greatest common factor of 28735 and 3290? 35 Calculate the highest common divisor of 1921 and 80240. 17 What is the highest common divisor of 148 and 1540532? 148 What is the highest common factor of 4189 and 23246? 59 Calculate the highest common divisor of 21912 and 5280. 264 What is the greatest common divisor of 74 and 7659? 37 Calculate the greatest common divisor of 155704 and 16. 8 Calculate the greatest common factor of 6873 and 3792. 237 Calculate the greatest common factor of 35772 and 1716. 132 What is the highest common divisor of 47 and 303197? 47 Calculate the greatest common factor of 1050 and 1554. 42 What is the greatest common factor of 600 and 4832? 8 Calculate the greatest common factor of 252 and 1467. 9 What is the greatest common factor of 117 and 404989? 13 What is the highest common factor of 93640 and 115? 5 Calculate the greatest common factor of 83 and 601. 1 What is the greatest common divisor of 99464 and 96? 8 Calculate the greatest common divisor of 49911 and 3144. 393 Calculate the greatest common factor of 1697 and 14304013. 1697 Calculate the highest common factor of 45 and 142533. 9 Calculate the greatest common divisor of 210 and 516390. 210 What is the highest common divisor of 381815 and 105? 35 Calculate the highest common factor of 10494 and 25440. 318 Calculate the greatest common divisor of 16882 and 15019. 23 What is the highest common divisor of 57273 and 51? 51 What is the highest common divisor of 8205 and 344063? 547 What is the highest common divisor of 2 and 487066? 2 What is the highest common factor of 1036 and 1184? 148 What is the greatest common factor of 256 and 2607872? 256 What is the highest common factor of 495510 and 2407? 83 Calculate the highest common factor of 19550 and 150. 50 What is the highest common factor of 1727 and 3223? 11 Calculate the highest common factor of 2289 and 16527. 21 What is the greatest common divisor of 192588 and 12? 12 What is the greatest common divisor of 16644 and 24? 12 What is the greatest common factor of 506 and 16514? 46 Calculate the greatest common factor of 196 and 7189. 7 Calculate the highest common divisor of 10 and 566590. 10 Calculate the greatest common factor of 9782 and 2010. 134 What is the highest common factor of 8283 and 198? 33 Calculate the highest common divisor of 2369 and 37720. 23 What is the greatest common divisor of 25254 and 1281? 183 What is the greatest common divisor of 6496 and 720? 16 What is the highest common divisor of 3492216 and 130? 26 What is the greatest common divisor of 156300 and 6? 6 What is the greatest common factor of 36718 and 22? 22 What is the highest common divisor of 726 and 48? 6 What is the greatest common factor of 53 and 277? 1 Calculate the greatest common divisor of 872 and 6468932. 436 Calculate the highest common factor of 492 and 3036. 12 What is the highest common divisor of 149 and 7123? 1 What is the greatest common divisor of 2071948 and 824? 412 What is the greatest common factor of 10 and 102230? 10 Calculate the greatest common divisor of 79144 and 312. 104 Calculate the greatest common divisor of 280 and 1044288. 56 Calculate the highest common factor of 77828 and 12. 4 Calculate the greatest common divisor of 290 and 315. 5 What is the greatest common divisor of 67565 and 80? 5 What is the greatest common divisor of 10073 and 14? 7 What is the highest common factor of 755 and 12? 1 Calculate the highest common divisor of 139 and 373493. 139 Calculate the greatest common factor of 15485 and 52160. 815 Calculate the greatest com
{ "pile_set_name": "DM Mathematics" }
t is the second derivative of 60776*y**5 + 80489*y? 1215520*y**3 Find the third derivative of -101487*d**6 - 482*d**2 - 83 wrt d. -12178440*d**3 What is the first derivative of -4*j**3*z + 67208*j**3 + 198582*z wrt j? -12*j**2*z + 201624*j**2 What is the second derivative of -695364*k**3 - 1107326*k? -4172184*k What is the second derivative of 172*a**2*p + 779*a**2 + 2*a*p - 34*a + 52*p + 3 wrt a? 344*p + 1558 Find the third derivative of -500782*z**4 - 233932*z**2. -12018768*z Find the second derivative of -2*c**3*t - 4*c**3 - 77*c**2*t - 2*c**2 + 49*c*t + 8*c + 26 wrt c. -12*c*t - 24*c - 154*t - 4 What is the second derivative of 4*a**2*j*o**2 + 798*a**2*j + a**2*o**2 - 957*a*j*o**2 - j + o**2 wrt a? 8*j*o**2 + 1596*j + 2*o**2 What is the derivative of -4231959*l**2 - 1091682? -8463918*l What is the third derivative of 18*r**6 - 4558*r**4 - 139558*r**2 wrt r? 2160*r**3 - 109392*r Find the third derivative of 3*f**5 - 6250*f**4 - 4*f**2 + 516*f - 6 wrt f. 180*f**2 - 150000*f What is the first derivative of -2921321*j**3 - 1304387? -8763963*j**2 Find the first derivative of 9*b*f**4 + 5*b + 621*f**4 + 2*f**3 + 592 wrt f. 36*b*f**3 + 2484*f**3 + 6*f**2 What is the first derivative of 6282*a**2 - 77200? 12564*a Find the second derivative of 18*n**4 + 10618*n**2 + 462443*n wrt n. 216*n**2 + 21236 Differentiate 5920*q - 21910 wrt q. 5920 What is the second derivative of -17*s**3*u**2 - 3*s**3 + 982*s**2*u**2 - 4*s*u**2 - 2776*s*u wrt u? -34*s**3 + 1964*s**2 - 8*s What is the third derivative of -62*n**2*x**3 + 7*n**2*x**2 - 1311*n**2 - n*x**3 - 73*x**3 wrt x? -372*n**2 - 6*n - 438 Find the third derivative of 117*b**2*t**3 + 46*b**2*t + 3698*b*t**3 + 14*b*t**2 + 2*b + 7*t**2 + 2*t wrt t. 702*b**2 + 22188*b What is the third derivative of -69632*t**3 + 3*t**2 - 11090*t wrt t? -417792 What is the third derivative of -13*c**4*z**3 + 248*c**4*z**2 + 2*c**3 + 75*c**2*z**3 + c**2*z**2 - 24*z wrt c? -312*c*z**3 + 5952*c*z**2 + 12 What is the third derivative of 1368*a**6 - 5*a**2 - 10*a + 2 wrt a? 164160*a**3 Differentiate 2*f**2*g + 11515*f*g**2 + 5*f - 2*g**2 + 494911 with respect to f. 4*f*g + 11515*g**2 + 5 Find the third derivative of -1686902*t**4 - 856*t**2 + 3*t - 25 wrt t. -40485648*t What is the third derivative of -457299*b**3 - 2*b**2 - 775*b + 10 wrt b? -2743794 Find the second derivative of -c**3*x**2 - 60*c**3 - 113*c**2 - 15*c*x**2 + 26*c + x**2 + 2*x + 4 wrt c. -6*c*x**2 - 360*c - 226 What is the derivative of -2384*l**4 - 27*l**3 + l**2 + 149640? -9536*l**3 - 81*l**2 + 2*l Find the first derivative of -4*j**4*l - 1127*j*l**2 - 191*l**2 - 58*l - 2 wrt j. -16*j**3*l - 1127*l**2 What is the second derivative of -2*l**5 + 3147*l**4 + 2*l**2 + 137266*l wrt l? -40*l**3 + 37764*l**2 + 4 Find the second derivative of 179577*a**3 + 2*a**2 + 822*a - 902 wrt a. 1077462*a + 4 Find the first derivative of -34749*z**2 + 167488 wrt z. -69498*z Find the third derivative of 3*j*n**3*v**2 + 143*j*n**3*v - 20*j*n**2*v + j*v**3 + 2*j*v + 196*n**3*v**3 - 2*n**2*v - 127*n*v**3 + 3 wrt v. 6*j + 1176*n**3 - 762*n What is the second derivative of -13*p**3*y**2*z - 4*p**3*y*z - 4*p**3*z - 9*p**2*y**2*z - 58*p*y**2 + 39*p*z - 21*z wrt y? -26*p**3*z - 18*p**2*z - 116*p Find the second derivative of 2*g*r**2 + 5*g - 7811*r**2 + 28*r wrt r. 4*g - 15622 What is the first derivative of 240614*a**2*c + 251006*c wrt a? 481228*a*c What is the first derivative of -1447924*k**4 + 1593085? -5791696*k**3 Find the third derivative of -64786*q**3*s**2 + 2*q**2*s**2 + 73767*q**2*s wrt q. -388716*s**2 Find the first derivative of -45576*u**3 - 1433726. -136728*u**2 What is the second derivative of -2*d**3 - 29308*d**2 - 16*d + 751? -12*d - 58616 What is the third derivative of -2491136*z**5 + 1769291*z**2 - 1? -149468160*z**2 What is the third derivative of -1095*a**5*h + 14*a**3*h - a**3 - a**2*h - 26*a*h - 857*h wrt a? -65700*a**2*h + 84*h - 6 Find the third derivative of -260*u**3*z**3 - 18*u**3*z**2 + 35*u**3*z - 36*u**2*z**3 - u**2 - u*z**3 - z**2 wrt z. -1560*u**3 - 216*u**2 - 6*u Find the third derivative of -49451*q**3*y**5 + 5*q**3*y**3 + 10*q**3*y**2 + 3732*q**3 wrt y. -2967060*q**3*y**2 + 30*q**3 What is the third derivative of 37396*d**3*q**3 + d**2*q + 13*d**2 - 91*d*q**3 wrt d? 224376*q**3 Differentiate 4*q*s*v**2 - 19055*q*s*v - 3*q*v + 2347*q + 25*v**2 + v with respect to s. 4*q*v**2 - 19055*q*v Differentiate -24*t**3 + 3*t**2 - 314*t - 450066. -72*t**2 + 6*t - 314 Find the first derivative of 10298*t**4 - 2*t - 65399. 41192*t**3 - 2 Find the second derivative of 285796*z**4 - 142*z - 83 wrt z. 3429552*z**2 Differentiate 27973*j**3*k**3 - j**3*k**2 - 10*j**3 + 100*j**2 with respect to k. 83919*j**3*k**2 - 2*j**3*k Find the first derivative of 14052*j**4 + 83824 wrt j. 56208*j**3 What is the second derivative of 92102*w**2 + 52005*w? 184204 Find the third derivative of -1399*k**4*r - 5*k**4 - k**3*r + 3971*k**2*r + 2*k*r wrt k. -33576*k*r - 120*k - 6*r Find the first derivative of 2*d**2*h**2*m - 484320*d**2*h**2 + 2*d**2 - 16790*h**2*m - 2*h*m wrt m. 2*d**2*h**2 - 16790*h**2 - 2*h Find the third derivative of -b*o**4 + 68*b*o**3 - 8*b*o**2 + 2440*b + 2*o**4 + 15*o**3 wrt o. -24*b*o + 408*b + 48*o + 90 Find the second derivative of 745430*l**3 + 793*l - 364. 4472580*l Differentiate 6*g*v + 19*g - 2556*v - 17547 wrt v. 6*g - 2556 Find the third derivative of -50*p**5 + 292*p**3 + 10*p**2 - 23237 wrt p. -3000*p**2 + 1752 Find the third derivative of -296*x**6 + 2*x**4 + 55*x**3 - 27*x**2 + 3199 wrt x. -35520*x**3 + 48*x + 330 What is the derivative of 82717*i - 40736 wrt i? 82717 What is the derivative of 23569*q**4 + 22941? 94276*q**3 What is the second derivative of -413*o**2*t**3 + 43*o**2 - 71*o*t**3 - 2*o*t**2 - 6*t**3 wrt o? -826*t**3 + 86 Differentiate -20*n**3 - 953*n**2 + 279182 wrt n. -60*n**2 - 1906*n Find the second derivative of -4127920*c**4 + 3072*c + 80 wrt c. -49535040*c**2 Find the third derivative of -146239*d**4 + 5*d**2 + 3250 wrt d. -3509736*d What is the third derivative of 4*o**2*x**3 - 3*o**2*x - 28*o**2 + 2*o*x**3 + 823*o*x**2 + 3*o*x - 4354*x**3 wrt x? 24*o**2 + 12*o - 26124 What is the third derivative of 228*g**6 - 304*g**5 + 219921*g**2 - 1? 27360*g**3 - 18240*g**2 Find the third derivative of -2788*k**4*r + 5*k**4 - k**3*r + 3*k**2*r - 83153*r wrt k. -66912*k*r + 120*k - 6*r Find the second derivative of -8*r**3*x + 1938*r**2*x**3 + 37*r - 660*x**3 wrt r. -48*r*x + 3876*x**3 Differentiate -12*d**3 + 430*d**2 + 3*d + 2135469 with respect to d. -36*d**2 + 860*d + 3 What is the derivative of -p**2*u + 20476*p**2 - 15*p*u + 2*p + 56*u - 2 wrt u? -p**2 - 15*p + 56 What is the third derivative of 516133*s**4 - 26*s**2 - 58*s - 4 wrt s? 12387192*s What is the second derivative of -2*q**4 - 3*q**3 + 3152*q**2 + 286*q - 4? -24*q**2 - 18*q + 6304 What is the derivative of 98*j**3*w**4 + 533*j**3*w + 115656*j**3 wrt w? 392*j**3*w**3 + 533*j**3 What is the second derivative of 11*h*o**4 - 2*h*o**3 - 23*h*o**2 + 10*h + 202*o wrt o? 132*h*o**2 - 12*h*o - 46*h What is the third derivative of 150631*v**3 + v**2 - 114739 wrt v? 903786 Differentiate -126*r**3 - 92*r**2*s**2 - r*s**3 + 11543*s**3 - 4*s - 2 wrt r. -378*r**2 - 184*r*s**2 - s**3 What is the second derivative of -69970*v**3 - 16663*v - 7 wrt v? -419820*v What is the derivative of -2*c*l**2 - 4*c*l + 209*c + 93*l**2 - l + 54 wrt c? -2*l**2 - 4*l + 209 Find the third derivative of -370*h**6 - 2*h**5 + 38*h**3 - 261*h**2 - 5*h + 2. -44400*h**3 - 120*h**2 + 228 What is the first derivative of 90707*j - 115419? 90707 Find the second derivative of y**5 - 7*y**4 + 4043*y**3 + 356*y - 26. 20*y**3 - 84*y**2 + 24258*y What is the second derivative of 2*i**3*y**3 + 4*i**3*y + 5073*i**3 - i*y**3 - 3732*i*y**2 wrt y? 12*i**3*y - 6*i*y - 7464*i What is the third derivative of -1683224*l**4 - 153005*l**2 - 5*l? -40397376*l What is the second derivative of -2*m**4 - 2*m**3 - 1311*m**2 + 242275*m wrt m? -24*m**2 - 12*m - 2622 Differentiate -18326*i**3 + 3*i + 1818027 wrt i. -54978*i**2 + 3 What is the second derivative of 52*r*y**3*z + 5*r*y**3 - 13*r*y*z - 4*r*y + 196*r - 14*y**2*z wrt y? 312*r*y*z + 30*r*y - 28*z Find the third derivative of 4*v**3*w**4 - 1793*v**3*w - 3*v**2*w**2 + 3940*w**4 - 3*w**2
{ "pile_set_name": "DM Mathematics" }
. Suppose -2*f + f - v = -4*j, 0 = -j + 2*f + 1. Calculate the highest common divisor of j and 5. 5 Let b = 420 + -378. Calculate the highest common factor of 924 and b. 42 Suppose -f - 452 = -h, 0 = -0*h + 5*h - 3*f - 2258. What is the highest common divisor of h and 11? 11 Suppose 5*v + 4*r = 289 + 16, 115 = 2*v + 3*r. What is the highest common divisor of 26 and v? 13 Let n be 3/7 + (-4456)/(-7). Calculate the highest common factor of n and 49. 49 Let n(m) = 497*m - 12. Let c be n(6). Suppose 3*j + c = 9*j. What is the greatest common divisor of 45 and j? 45 Let w be (-4 - -1 - -1)*-7. Suppose -2*t + 20 = 3*t. Calculate the greatest common factor of w and t. 2 Suppose o = 232 + 955. Suppose 3*y + 428 = o. Calculate the greatest common factor of y and 23. 23 Suppose -3*c + 9 = -6. Suppose -5*h + 40 = 4*m, -c*m + 5 = 3*h - 32. Suppose m*o - 34 = -5*z - 4, 0 = 2*z + 4. What is the greatest common factor of 40 and o? 8 Let a be (0 - -3)*(-30)/(-45). Suppose 0 = -a*z + 4*r - 3*r + 38, 2 = r. Calculate the greatest common divisor of 10 and z. 10 Let w = 461 + -416. Calculate the greatest common factor of w and 5. 5 Suppose 50*g = 48*g + 38. Let n = g - -66. Let q(u) = u**2 - 2. Let s be q(-6). What is the highest common factor of n and s? 17 Let q be (-9)/(2/(-1 - 5)). Suppose 2*x = -4*c + 640, -3*c + 359 = 4*x - 111. Calculate the greatest common divisor of c and q. 27 Suppose 4*f - 2*l = 92, 3*f + 10 - 74 = 4*l. Let z(b) = b**3 - 11*b**2 + 11*b - 7. Let i be z(10). What is the greatest common divisor of f and i? 3 Let g = -10 + 13. Let b be g - (-11 - (-3 - -3)). Let i = -9 + b. What is the highest common divisor of 55 and i? 5 Suppose -910 = -157*q + 122*q. Suppose -155 = -5*r + r - b, r - 40 = b. Calculate the highest common divisor of q and r. 13 Let m = -50 + 53. Suppose -2*x = -x + 5*s - 20, 0 = -m*x - 4*s + 27. What is the highest common divisor of x and 25? 5 Let b be -2 + (-1 - -3) - -7. Let l = 65 + b. What is the highest common divisor of 16 and l? 8 Let v be 3 - (-4 + 8 - -1). Let k be (-6)/(-3) - -14 - v. What is the highest common divisor of 27 and k? 9 Suppose 9*v = v + 480. What is the highest common factor of v and 390? 30 Suppose -4*y + 862 = 26. Calculate the greatest common factor of y and 38. 19 Let i be (-1)/(-3) + (-2)/((-6)/(-145)). Let a = 60 + i. What is the greatest common divisor of a and 16? 4 Suppose 4*z + w - 85 = 0, z + 4*z - 101 = -3*w. Let j = z - 12. Calculate the highest common divisor of 10 and j. 10 Suppose -3*u + 5*u - 3 = -5*a, -39 = -5*u - 2*a. Suppose 8*t = 5*t + 18. Calculate the highest common divisor of u and t. 3 Suppose -2*i + 5*i - 63 = -3*j, 0 = -j + 5*i + 3. Let t be (-204)/21 - -10 - 80/(-14). What is the greatest common factor of j and t? 6 Let q(j) = 0*j + 9*j**3 + 11*j**3 - j**2 + j. Let v be q(1). Let d(f) = 607*f + 727. Let a be d(-1). Calculate the highest common divisor of v and a. 20 Let h(t) = -t**3 - 6*t**2 - 2*t - 4. Let f be h(-6). Suppose f*a + 109 - 317 = 0. Let n = 28 - a. Calculate the highest common divisor of 18 and n. 2 Let k be (-42)/12*80/(-7). Calculate the greatest common factor of 280 and k. 40 Let b(r) = -2*r + 14. Let w be b(-2). Let k(p) = -p**2 + 12*p + 16. Let i be k(11). Calculate the greatest common factor of w and i. 9 Suppose -c - 96 + 228 = 0. Let d = 599 + -566. Calculate the highest common factor of c and d. 33 Suppose 72*q = 75*q - 399. Calculate the greatest common factor of q and 14. 7 Let t be (-9)/(-27) - 3947/(-3). What is the greatest common divisor of 28 and t? 28 Let x be ((-3)/5)/((-1)/5). Suppose x*j = 4*k - 4, j = -0*k - 4*k + 20. Calculate the highest common factor of 20 and k. 4 Let l = -261 - -401. What is the greatest common divisor of l and 100? 20 Let v be (17 + -14)/(3 + (-1680)/565). What is the greatest common divisor of v and 904? 113 Let x = 1317 - 864. Calculate the highest common factor of 3 and x. 3 Let s = -43 + 41. Let h be 0 - (4/8 - (-17)/s). Calculate the highest common divisor of h and 8. 8 Let h(d) = -d**3 - 4*d**2 - 7*d - 4. Let k be h(-3). Let l be 2 - (-12)/(2/1). What is the highest common divisor of l and k? 8 Let p = 53 + -47. Suppose -p*u + 260 = -370. What is the highest common divisor of 42 and u? 21 Suppose -55 = -10*v + 185. Calculate the highest common divisor of v and 276. 12 Let i(j) = -3*j**2 + 1. Let t be i(3). Let m be 6/39 + 4/t. Let l be 54 - m - (-3 + 5). Calculate the highest common divisor of l and 13. 13 Suppose 6*f = 5*f + 6. Suppose 4*j - 42 = -f. Let o = 44 - 17. Calculate the greatest common divisor of o and j. 9 Let f be (-2)/(-4)*7*10. Let s = -142 + 173. Suppose 5*a - a + 36 = 4*u, 5*u - s = -2*a. Calculate the greatest common divisor of f and u. 7 Let m be 4/(-8) + (-35)/(-2). Suppose -5*s = 2*v + 2 + m, 3*s - 1 = 5*v. Let x be v/10 - (-5610)/50. Calculate the highest common divisor of 16 and x. 16 Suppose 34*a - 30*a + 5*u = 53, 55 = 5*a - 5*u. What is the greatest common factor of 44 and a? 4 Suppose 0 = 16*u - 19 - 45. Calculate the highest common divisor of 4 and u. 4 Suppose -90 = -16*x + 38. Suppose -q - 350 = -x*q. Suppose -5*g + 32 + 18 = 0. Calculate the highest common divisor of g and q. 10 Let c = -274 + 638. Calculate the greatest common divisor of c and 28. 28 Suppose -2*i - 5*a - 19 - 8 = 0, -4*a - 9 = i. Let z = i - -31. Suppose -7 = -5*t + 43. Calculate the greatest common divisor of t and z. 10 Let d be (50/(-15))/(8/(-804)). Let f = d - 225. Calculate the greatest common factor of f and 10. 10 Let o be ((-8)/36 + (-165)/27)*3. Let g(d) = -d**3 + 7*d**2 - 3*d - 1. Let n be g(5). Let m = o + n. Calculate the greatest common divisor of m and 10. 5 Let h(p) = 40*p - 5. Let o be h(2). Suppose -v + 80 = -o. Suppose -2*t = 5*m - 109, 4*t + 5*m - 332 = -99. What is the greatest common divisor of v and t? 31 Suppose -5*v - 39 = -339. Calculate the highest common factor of 108 and v. 12 Let s be -7*((-9 - -7) + -2). Let n = 196 + -140. What is the highest common factor of s and n? 28 Let x = 6 - -3. Suppose 5*y - 2*h = 48, -y + h + x + 0 = 0. Calculate the greatest common factor of y and 10. 10 Let p be ((-6)/(-10))/(3/(-2160)*-8). What is the highest common divisor of p and 36? 18 Let i be (0 - -1*96)*(-194)/(-291). What is the greatest common divisor of 10 and i? 2 Let v(t) = -t**3 + 2*t**2 + 4*t. Let q be v(3). Suppose q*z = 5*m - 102, 0 = m + 6*z - z + 2. Calculate the greatest common factor of m and 18. 18 Let w be -1 - (8 - -2)*7/(-14). What is the highest common divisor of 5 and w? 1 Let m be (-2)/(-13) - 505/(-13). Suppose -2*f - 42 = -2*l - 0*l, 2*l - 3*f = m. What is the highest common factor of l and 216? 24 Let h be (25*-3)/(-5 - -4). Let v be 15*(0 + -5)*270/(-405). What is the highest common factor of h and v? 25 Suppose 0 = 27*c - 22*c - 285. What is the highest common divisor of 912 and c? 57 Suppose -5*m + 2*v + 43 = 0, v - 47 = -5*m + 4*v. Let s be -3 + -5 + (-2 - -2). Let r be 7 - m/((-28)/s). What is the greatest common divisor of 25 and r? 5 Suppose -5*n + 2*o + 1945 = 0, 258 + 519 = 2*n - o. Calculate the greatest common divisor of 85 and n. 17 Suppose 0 = 2*b + 3*f + 18 - 60, 0 = -4*b + 4*f + 104. Calculate the highest common divisor of 168 and b. 24 Let u(m) = -196*m + 114. Let b be u(-2). What is the highest common divisor of 92 and b? 46 Let b = -464 - -592. What is the greatest common factor of 176 and b? 16 Let p(q) = q**2. Let l be p(-3). Let m = -617 + 626. Calculate the highest common factor of l and m. 9 Let q = 19 + -22. Let m be (2/(-5))/((-8)/480) + q. What is the greatest common divisor of m and 6? 3 Let p(r) = r**3 - 2*r**2 + 4*r - 27. Let v be p(4). What is the highest common divisor of v and 133? 7 Suppose -252 = -8*h + h. Calculate the greatest common divisor of h and 108. 36 Let d = 64 + -28. Let g(b) = -22*b + 10. Let c be g(-2). What is the greatest common divisor of c and d? 18 Let y(r) be the third derivative of r**4/24 + 9*r**3/2 - 4*r**2. Let w be y(-11). What is the greatest common factor of 144 and w? 16 Suppose -20 = p - 3*p - 2*l, -4*p = -4*l - 16. Suppose -3*t + 4*t - p = 5*s, 3*t = 2*s + 8. Let q = -6 + 9. Calculate the highest common divisor of t and q. 1 Suppose 3*o - 4*t - 126 - 98 = 0, -o - 5*t + 43 = 0. Suppose i + 3 = 0, -q +
{ "pile_set_name": "DM Mathematics" }
= -z*u, -4*o + 8 = 4*u for u. 4 Suppose 0 = 7*b - 5*b + 2. Let w be (1 + 0/b)*3. Solve -2*g + w*c + 16 = c, 5*g + 4*c = 4 for g. 4 Let a = -84 - -87. Suppose -a*c - m - m = -6, -2*m - 18 = -3*c. Solve 5*j = -w + 8, 0 = 2*w - 6*w - c*j for w. -2 Suppose 0 = -5*i + 5*f - 111 - 4, 2*f = 0. Let g = -8 - i. Suppose -5*x = 4*r - 11, 4*r - g = 3*x - 4*x. Solve r*t = -5*z - 28, 3*z + 0*z = -2*t - 16 for z. -4 Suppose 21*u = -6 + 48. Solve -3*p - 7 = o, -u*o - 6 = p + p for o. -1 Let k(p) = 2*p**3 + 3*p**2 - 4*p + 1. Let o be k(1). Let s(g) = 3*g + g**2 - g**2 - g**2 - 2. Let h be s(2). Solve -o*q - 4*w + 22 = h, 3*q + 2*q - w = 0 for q. 1 Let r(t) = -t**3 + 26*t**2 - 25*t + 4. Suppose 0 = 12*x - 7*x - 125. Let q be r(x). Solve q*f + 5*m = 4 + 16, f + 2*m - 8 = 0 for f. 0 Let m = -685 - -686. Solve 5*n = 3*n - 5*h - 17, n + h + m = 0 for n. 4 Let f be (-36)/(-8)*4/6. Suppose -5*z + 3*x - 4 = -x, 3*z + f = 3*x. Solve 0 = 5*q + 5*t, 2*q + z = 2*t + 4 for q. 1 Let s(o) = -11*o + 20. Let j(q) = -5*q + 10. Let g(y) = 9*j(y) - 4*s(y). Let z be g(6). Suppose 29 + 31 = 5*r. Solve -2*p + b - 6 = -b, -2*b = z*p + r for p. -3 Let h(c) = c - 3. Let q be h(9). Suppose 9 = 3*d - 0*d. Suppose -3*x = 2*w - 16, -x + 11 + q = d*w. Solve a + 4 + 1 = 0, x*b + 26 = -4*a for b. -3 Let o be (84/10)/(5/((-800)/12)). Let w be (-1)/3 - o/21 - 3. Solve 0 = -2*m + 3*q - 7*q - w, -m + 2*q = 9 for m. -5 Let q be (1*1/(-2))/(17/(-68)). Solve 2*w - 6*w + 4*u + 4 = 0, -q*w + 1 = -u for w. 0 Let j(i) = -2*i - 4. Let r be j(-2). Suppose -u - u = r. Let n be u/(-1) - (-9 - 2). Solve 4*w + 3*m = -n, -3*m = 3*w + m + 3 for w. -5 Suppose -111*p = -114*p + 3*l, 2*p - 3*l + 2 = 0. Solve 6 = -2*d - 3*r, -p*r - 3 = -3*d - 12 for d. -3 Suppose -2*r + 4 = -6. Let c be 2/r*(-25)/(-5). Suppose 9*k - 24*k = -135. Solve -2*m - k = -3*m - 2*w, 7 = -c*m + w for m. -1 Let y be (4/6)/((-20)/12 + 2). Solve -3*i - 2*r - 7 = 0, -y*i = r + 2*r + 8 for i. -1 Let z(h) be the third derivative of -h**5/60 + 5*h**4/24 + 4*h**3/3 + 3*h**2. Let a = -40 - -46. Let k be z(a). Solve -4*c - k = 3*j - j, j = 3*c + 9 for j. 3 Let a(c) = 2*c**2 + 18*c - 67. Let s be a(3). Solve s*d + 2*n = -13, n = 5*d + 12 + 4 for d. -3 Let u be -3 - (9/((-45)/10) + -1). Solve -11 = -5*m - 2*p + p, 3*p - 3 = u for m. 2 Let i be ((-3)/(-2))/((-1)/(-16)*12). Solve 4*l = 3*c + 6, 8 = -c + 2*c + i*l for c. 2 Let t(h) be the second derivative of h**5/20 - h**4/6 - h**3/6 + h**2 + 32*h. Let s be t(1). Solve c - 3 = s, 5*d + 5*c = 5 + 5 for d. -1 Suppose 9*s + 25 = 14*s. Let i be (0 - 2)/2 + -14. Let m be (i + 14)/((-1)/s). Solve -15 = 3*b + m*q, -b + q - 5 = 5*q for b. -5 Suppose 0 = -2*k + 5*k. Suppose -i + l = k, -9 = 4*i - 4*l + 3*l. Let q be i*(3 + -5 + -2). Solve 4*y + 3*c = -2 + q, 0 = 4*y + 2*c - 8 for y. 1 Let d(v) = v**3 - 23*v**2 + 21*v + 43. Let j be d(22). Let n(a) = a**2 - 5*a - 34. Let t be n(9). Solve t = -2*g + 2*b, 2*b + 3*b = -3*g + j for g. 2 Let o be 4/(-2)*(-56)/16. Let m = o - -9. Solve -4*j - 4*b - m = 0, j = 5*b + 20 - 6 for j. -1 Let u = 4 - 2. Let m be ((-260)/(-50) + -2)/(2/5). Solve 2*n = x + 4, -u*x + 0*n + n - m = 0 for x. -4 Let u be (10/4)/(2/20). Let g be ((-4)/((-10)/5) - 4) + -18. Let r = g + u. Solve 8 = -4*a - 3*t - 2, -r = a + 2*t for a. -1 Let l = 44 - 41. Let c(h) = -2*h**2 + 2*h + 1. Let i be c(2). Let z = -2 - i. Solve l*a - 36 = -3*k - 15, -z = -3*k + a for k. 2 Suppose -5*r + r + 8 = 0. Suppose -2*q + r + 6 = 0. Suppose -q*f = f - 20. Solve -2*b - 12 = f*n, 2*b - n = n - 6 for b. -4 Let l(i) = i**2 + 10*i - 9. Let m be l(-11). Let a(h) = h**3 - h**2. Let p be a(m). Solve -w + 1 = -3*g + 13, -p*w = -4*g + 24 for w. -3 Let n be 2/(-1)*(-26)/13. Solve 0 = m + p - 5, -n*m = -m + 5*p - 23 for m. 1 Let c be 24/18*18/(-4). Let f be ((-2)/(-7))/(c/(-84)). Solve 0 = -i - f*u - 13, -i + 0 = -u - 7 for i. 3 Let n = -60 - 9. Let i be n/46*8/(-6). Solve 10 = v - 3*k, -v - 4*k = i*v - 4 for v. 4 Let u be (-1)/((-3)/(-3 + 15)). Suppose 2*f - 11 = v, 7 = -5*v + 12. Solve -u*z + 8 = -3*j, -2*z - f = -5*z + 3*j for z. 2 Let w(z) = 21*z**2 + 11*z - 12. Let j be w(1). Solve -h = s + h - 8, 4*s - j = -4*h for s. 2 Let x(z) = 15*z - 15. Let s be x(-2). Let h = s + 47. Solve -4*j = 2*a - j + 10, -h*j = -2*a for a. -2 Suppose -5*l - 15 = 0, -2 = 25*r - 27*r - 2*l. Suppose -2*p = 3*b + 3*p + 3, -2*p = 4*b - 10. Solve -b*n + 5*o = 18, -2*n + r*o - 6 - 6 = 0 for n. -2 Suppose 5*y = 288 - 268. Solve -w = b - 4, -2*b - 4*w + 6 = -y for b. 3 Let q be (-48)/(-26) - (-4)/26. Let i be 6 + 0 - (q - -2). Solve -11 = -5*p + 2*p + 4*v, 2*p = -i*v + 12 for p. 5 Let l be -4 + 20 + (-2)/1. Suppose 3*u + 4*o + l = 0, 3*u - 2*o - 1 = -3*o. Solve 3*s + z = -1, 5*s - u*z - 1 = -z for s. 0 Suppose -50*u + 48*u = -50. Solve -5*z + 3*a + a - u = 0, z + 2*a = -5 for z. -5 Suppose 6*i = -121 + 151. Solve z = -i*w - 2, 2*w + 0*z - z = -5 for w. -1 Let y = 696 - 680. Solve 5*a = j + y, 2*j = 4*a + 2 - 16 for j. -1 Suppose -5*r = -4*i - 2, -4*r + 5*i - 3 = -1. Solve 8 = -r*k - o, -o = 5*k + o + 19 for k. -3 Let u(q) = 9*q + 2. Let h be u(1). Let n be (1 + -2)/((-12)/36). Suppose -p + 9 = 5*o, -o = n*p - 2*o - h. Solve -3*f = 4*b - 1 - 7, 0 = -5*f - p*b for f. -4 Let k be 6/(-30) + ((-112)/(-5))/2. Solve f - 6 = 3*v, 6*v - 2*v = -5*f + k for f. 3 Let w(x) = -4*x**3 + 35*x**2 - 22*x - 7. Let s be w(8). Solve -2*l = -3*j + l - s, -1 = -l for j. -2 Suppose 45*m + 28 = 52*m. Solve m*b + 3*s - 6 = s, 4*b - 4*s = 0 for b. 1 Let u be ((-50)/(-20) + -3)*-2*2. Suppose -l - 4*o - 21 = 0, 3*l + 7 + 16 = -4*o. Let n = -1 - l. Solve 4*w + 0*w = -4*t + 8, n = 4*t - 2*w - u for t. 1 Suppose 2*s - g = 7, 0 = -6*s + 3*s - 4*g + 5. Let w = -5 - -56. Let m = w - 49. Solve -3*h = -2*r - 10, h - s*h = -m*r - 8 for r. -2 Let k be (3 - -5 - 8)*2/(-10). Solve z + 4 = 9, k = -3*u + z - 14 for u. -3 Let b(i) = -i**2 + 10*i + 17. Let c be b(11). Solve -a - 15 = -5*k - c*a, 5*k - 2*a = 8 for k. 2 Let m(q) = -22*q. Let c be m(-2). Suppose c*o = 47*o - 69. Suppose -4*w + 20 = 2*z - 2*w, -4*w - 16 = 0. Solve 5*l + 5 = 3*g, 5*g + z = -3*l - o for g. -5 Let z = 212 - 209. Solve z*g + 2*v = -9, v - 28 = 4*g + g for g. -5 Let f be 4/8*2 + 1. Let a(h) = -h**3 - 25*h**2 + 24*h - 48. Let t be a(-26). Solve f*l - 16 = -2*q, 5*q + l = 5*l + t for q. 4 Let a be (-4)/5 - 4416/(-345). Solve 5*j + 15 = 2*v, -2*j - 2*j - a = -2*v for j. -3 Suppose 0 = -5*m + 3*m + p + 42, -3*m = -5*p - 56. Let z be (-32)/(-4) + -1 + 0. Solve 3*y = -w - m + z, 0 = -2*y + 3*w + 1 for y. -4 Let i be (-1 + -3)*(-1)/4. Let o be -3 + -3 + 8 + i. Solve -5*n = o*p + 18 - 7, -4*n = -2*p for n. -1 Let b(h) be the third derivative of h**4/4 + h**2. Let j be b(1). Suppose r + 10 = j*r. Solve 23 = 5*w + o, -5*w + o + r*o = -11 for w. 4 Let l(d) = 10*d - 109. Let p be l(11). Solve v + 5 = p, -5*r + 32 = -3*v for r. 4 Suppose 3*g - 3*b = 9, g + 4*b - 15 = -b. Solve 0*y - 2*t - 9 = y, g*t = 2*y - 9 for y. -3 Suppose 0 = -3*f + 2*s + 9, 0 = -f + 4*s + 20 - 7. Solve 2*q + 2*y - f = 3*q, -3*q = -y + 3 for q. -1 Let m(f) = 3*f**2 + 14*f + 8. Let w be m(-6). Suppose 4*v - n = 13, -5*v - 4*n = -w - 0. Suppose -3*c + 5 = -4. Solve 4*i + 4 = -v*o, o + 0*o = -c*i + 3 for o. -3 Suppose 0 = -6*s + 5*s - 55. Let q be (-155)/s + 2/11. Solve -3*x + 1 = -4*g, q*g = g - 3*x - 23 for g. -4 Let i be (-1)/(0 + (-2)/4). Solve 1 + 4 = 3*f + 4*m, -i*f = 2*m for f. -5 Let f = -54 + 80. Suppose -4*v - p = -15, 0 = 5*v + 4*p - 1 - f. Solve -2*j + 3 = k, 0*j = -2*k - v*j + 4 for k. -1 Let t be (-36)/27*(1 - 2)*9. Let l be (11/(462/t))/((-2)/(-14)). Solve 2*z - 1 = f, -l*z - 3*f = -0*z - 13 for z. 2 Suppose 0*v = -4*v - 84. Let m be 3/(-15) - v/5. Solve 4*j + 35 = 5*t, -m*t = -j + 3*j - 2 for j. -5 Suppose -3*v - 3 = -3. Suppose -2*w + 5*f - 13 = v, 6 = 3*w - f + 2*f. Solve 2*z + 2*d - w = z, 0 = -5*d - 10 for z. 5 Let o(g) = -6*g - 63. Let p be o(-11). Suppose 3*s - 3*u - u - 24 = 0, u = 5*s - 23. Solve -4*d + 3*c = s, -5*d - 5*c + 24 = -p*d for d. 2 Let q be (-1)/(-4) + (-19)/(-4). Suppose -q*h = -3*h. Let y be (-2*(-7)/(-2) + 7)/1. Solve y = -3*a + 6, -4*i + 7*a - 2*a - 14 = h for i. -1 Let a(i) = i**2 + 5*i - 12. Let q be a(-7). Solve 3*o = -5*s + 8, 3*s + 2*o - 3*o - q = 0 for s. 1 Suppose -3*i = -0*i - 48. Suppose i = -2*n + 4*b, -2*b = -n - 5
{ "pile_set_name": "DM Mathematics" }
2*c = -4*d - 8 for c. 0 Let m(t) = -t**2 - 10*t + 14. Let j be m(-11). Let i be 2 + -2 + (j - 0). Solve -2*k = 2*a + 6, -k = 4*a + 9 - i for k. -2 Suppose -32 = -2*d - 0*b - 2*b, 3*b = 4*d - 29. Solve d = -4*i - 3*z - 0*z, 2*i - 17 = 3*z for i. 1 Let p(q) = q**2 - q - 2. Let k be p(2). Suppose -3*f + b = -17, -3*b = f + 1 - k. Solve 5*r - 5*i + 25 = 0, f*r + i = r + 5 for r. 0 Suppose 10 = -2*d + 14. Solve -2 = -0*p + 2*p, d*p = l - 5 for l. 3 Let o(g) = -3*g + 7. Let a be o(-4). Let j = a + -14. Solve -q + 2*b = -5, -q + 3*b + 2*b + j = 0 for q. 5 Let x = 2 - -3. Suppose 0 = q + 3*i - 17, -x*q - i + 35 = 4*i. Solve -4*b + 12 = -q*k, k + 2*b = b for k. -2 Let m(q) = q**2 + 2*q - 10. Let h be m(-5). Solve -b - 3*b = -4*r - 4, -5*b + h = 5*r for b. 1 Let b be (1/((-5)/10))/(-1). Solve 2*n = 2*x - 4, 3*n - n - b = -x for n. 0 Let t be 75/10*4/6. Let h = 27 - 12. Solve -t*l = 5*s - 0*l - 50, s + h = 4*l for s. 5 Suppose -8*x + 31 + 49 = 0. Solve -17 = -5*c + 4*i, -x - 5 = -c - 5*i for c. 5 Let b(z) = -2*z + 2. Let s be b(-4). Let l be ((-28)/35)/((-2)/s). Solve a - 12 = l*p, -5*p + 1 = a + 7 for a. 4 Let n(t) = t**3 - 6*t**2 - 8*t + 4. Let l be n(7). Let o be (-6 + 0)/l*2. Solve 4 - 3 = 3*s + j, -o*s + 2*j = 2 for s. 0 Let j = 46 - 28. Solve 3*c = -2*x - 19, -j = 4*c - x - 0*x for c. -5 Let g be -3*1*1 - 1. Let w be 3/2*g/(-3). Let r = -1 + w. Solve 3*y = 5*j, -2*y = -4*j + r - 3 for y. -5 Let n(y) = y**2 - 9*y + 14. Let z be n(7). Solve x + x = q + 3, z = 4*q + 4*x + 12 for q. -3 Suppose 8 = 5*a - 4*y, -3*a - 2*y = -2*a - 10. Suppose 0 = a*x - 4 - 4. Solve 3*o + 5*c + x + 2 = 0, -5*o - 5*c - 10 = 0 for o. -3 Suppose -12 = -4*f, -15 = -3*u + u - 5*f. Suppose -5*l - 3*y + 43 = 0, l = -u*l + y + 7. Solve -2*r = l*a - 3*a - 5, -2*a + 2 = 0 for r. 0 Let d be ((-8)/14)/((-11)/77). Solve -4*f - d*p + 25 = -f, 0 = -p + 4 for f. 3 Suppose 2*g + 315 = -3*g. Let t be g/(-13) - 4/(-26). Solve -5*b + 25 = i, 2 - 17 = i - t*b for i. 5 Suppose -2*b + 5 = -g - 6, g = 4*b - 27. Solve -4*p = -2*j + p - 23, 2*p - b = 2*j for j. 1 Let l(p) = -p + 8. Let q be l(-7). Suppose g + 4*t = 7, q = 5*g + 5*t - 5. Solve g*v = -3, -2*d - 4*v + 0*v = 6 for d. -1 Let i be (1 - -3)*(0 + 10). Suppose -3*p + i = p. Suppose -c = 3*c. Solve -w - 2*a - 1 = -6, c = 3*w + a + p for w. -5 Let f = 11 - 6. Suppose 4*i - 5*b = -5, -i = i - 3*b + f. Solve 1 = -i*v - 2*k - k, 0 = -v + 5*k - 17 for v. -2 Suppose 7 = -3*g + 4*u - 6, -15 = -3*g - 3*u. Solve 5*w - 4*v = 0, w + g = -4*v + 25 for w. 4 Let w(f) = f. Let l(p) = p - 7. Let v(x) = -l(x) + 2*w(x). Let z be v(-3). Solve -8*n - 21 = -r - z*n, -3*r - 2*n = 7 for r. 1 Let w be (-1 + 0 - 0)*-4. Suppose 0 = w*b - 5*h - 26, -5*b + 5 + 7 = 4*h. Solve 5*l + 20 = -i, -3*i = -b*i + 2*l + 15 for i. 5 Suppose 4*c - 8*c + 4 = 0. Solve -4*b + 12 = -4*v, 2*v = b + c - 2 for v. 2 Let j = -24 + 77. Suppose -2*w + b + b = -18, -3*b + j = 5*w. Solve -w = -z + 5*a, 4 = 3*z - 4*a + 2*a for z. 0 Suppose 0*u - 10 = -u. Suppose 59 = 3*g - u. Solve -2*y + 7*y - 3*m = g, 0 = 2*y + 2*m - 6 for y. 4 Let n = 24 - 22. Solve -n*w = l + 1, 0 = -2*l + 3 - 1 for w. -1 Let m(z) = z + 11. Let q be m(-11). Suppose 4*b = 28 + 20. Suppose q*v - b = -v. Solve -5*s - 2*u + 20 = 0, -5*s + v + 8 = -u for s. 4 Let d = -56 + 58. Solve 5*f = 5*l - 10, l - f - 2 = -d*f for l. 2 Let o be (-110)/(-7) + 16/56. Suppose 4*r - o = -0*r. Let i be 14/r + (-1)/2. Solve 0*m - 4*m - t = 11, 13 = -i*m + 4*t for m. -3 Let h(f) = -2*f**2 + 12*f + 4. Let w be h(6). Solve w*i - 4*j - 3 = -3*j, -i - j + 7 = 0 for i. 2 Let h be -2 + 16/6 - 1020/(-36). Solve 3*u = -4*n + h, u - 11 - 12 = -4*n for u. 3 Let n = 9 - 5. Let s be ((1 + 0)*-4)/1. Let h be (2/4)/(s/(-32)). Solve -n*w - t + h = -4*t, 3*w + 2*t = 3 for w. 1 Suppose 0*i = 2*i - 10. Let r = 8 - 5. Solve -5*j + 2*h = -17, r + i = 2*h for j. 5 Let z be (-3)/1*(-18)/27. Solve -3*s = -8*s - z*v - 17, -2*v + 23 = -3*s for s. -5 Let j be 80/15 + 8/(-6) + 1. Solve j*o - 15 = r, -2*o - o + 9 = r for r. 0 Let f(n) = n**2 + 3*n + 2. Let y(o) = -o**3 - 5*o**2 + 2*o + 4. Let c be y(-5). Let w be f(c). Solve s = -0*s + 5*i - w, 4*i - 35 = -3*s for s. 5 Suppose -5*a = 4*g - 36, 3*g + 5*a - 3*a = 27. Suppose 3*s - g = 2*s. Let b = s + -5. Solve -2*i + 4 = -2*y, -6 = -y - b*i + i for y. 0 Suppose -5*v = -2*n - 2*n - 75, v - 15 = -2*n. Let q be 66/v - 6/(-10). Solve q + 7 = -3*c, 0 = -4*h - c - 16 for h. -3 Suppose -4*x + 3*x = 5*w + 2, 3*x + 6 = 3*w. Solve -z = 2*l - 2, w = -z - 0*z - l for z. -2 Let n = 5 + -3. Let b = -18 + 25. Suppose b*r - n*r - 15 = 0. Solve -4*o + 2*k = 16, -2*o + r = -o - 4*k for o. -5 Suppose -k = -3*i + 2*i - 4, -4*k = -8. Let l be (8/20)/(i/80). Let y be (2/(-4))/(2/l). Solve 3*j - 5*j - 2 = 0, 0 = -u - j + y for u. 5 Let t(n) = 16 - 4 + n**2 - 8 + 6*n. Let g be t(-6). Solve g*u - 4*p = 0, 3*u + 3 + 7 = 5*p for u. 5 Suppose 0*u = -3*u + 42. Suppose 4*o - 26 = -7*r + 2*r, 3*r - u = -2*o. Solve 0*m = 4*m + 4*i - 20, -5*m - 3 = -r*i for m. 1 Suppose -7*j = -9*j + 8. Suppose -3*y + 2*y = 2*k - 3, k = j*y + 24. Solve 0 = -k*i - 4*w, 4*i - w + 36 = 4*w for i. -4 Let m be 2 + 2 + (1 - 0). Suppose m*j = 26 + 4. Solve 0 = 4*w + j*d - 2*d - 8, -2*w - 6 = -3*d for w. 0 Suppose -k - 5 - 6 = 0. Let u = -5 - k. Solve -r - 2*b - u = 0, 0 = -5*r + 4*b - 2*b + 6 for r. 0 Let m be (-2)/(-5) + (-96)/15. Let r be (m/(-4))/(1/2). Solve a + r = -2*a - 4*q, 2*a = 3*q - 2 for a. -1 Let g(f) = -f**3 + 3*f**2 + 3*f - 3. Let c be g(4). Let v = c + 11. Suppose v*m = -m + 10. Solve -l - 9 = m*h, 1 - 3 = h for l. -5 Let k(u) = u**3 + 3*u**2 - 2*u + 8. Let n be k(-4). Solve -5*z - 15 = 2*s - 4*s, -5*s - 2*z - 35 = n for s. -5 Suppose -5*k - 5*w + 65 + 5 = 0, k + 4*w - 17 = 0. Solve -1 = -l, 0 = -3*u - l - 0*l + k for u. 4 Let s = -17 - -27. Solve h + s = -3*l, -3*l + 10 = -2*h - 4*l for h. -4 Suppose -2*x = k - 12 - 4, -x = -5*k + 91. Suppose 2*d + 60 = -3*d. Let y = d + k. Solve 4*o + 0*o + y = -2*m, 5*o + 4*m + 9 = 0 for o. -1 Let c be (-4)/(-2) - (-2 - -1). Let v(y) = -y**3 + 2*y**2 + 2*y + 3. Let d be v(c). Solve -2*n = 10 - d, 3*n = -3*k - 3 for k. 4 Let y = 27 + -10. Solve -3*u - 5 = -0*u + 5*s, y = 5*u + 2*s for u. 5 Suppose 2*y + 1 = -3*i, -5*y - 12 = 5*i - 2. Let k = -8 + 10. Let r = -1 + k. Solve i*w + 4 = -l, 4*l + 7 + r = -4*w for w. -1 Let m(z) = z**2 - 5*z + 4. Let u be m(4). Suppose 4*i = -u*i - 4. Let s be (-42)/(-8) - i/(-4). Solve r + b - 1 = -0*b, 11 = 3*r + s*b for r. -3 Let v be (8 + -3)*3/5. Suppose v*u = -2*u + 30. Solve 0 = 3*a - 4*d + 1, -3*a + 0*d = 3*d - u for a. 1 Let v = 11 - 11. Solve -y + 4*q = v, q + 4*q - 1 = y for y. 4 Let g(i) = 3*i + 6. Let q be g(6). Suppose 0*p + 4*o - q = -4*p, -5*p + 3*o = -22. Suppose -l = -2 - p. Solve t - 3 = 4*h, 2*h = l*h + 5*t + 10 for h. -1 Let x be (-3 + 0)/3 + 2. Solve -5*p = -4*u + 27, -2*u - 2 = 3*p + x for u. 3 Let n(j) = j + 12. Let a be n(-8). Let g(d) = d**3 - d**2 + 30. Let u be g(0). Solve -u = -2*s - 4*c, -5*c + 50 = a*s + s for s. 5 Let v be 9 - 9/(-6)*2. Let w = 17 - v. Solve 3*b + 2*b = z - 29, 0 = w*b + 2*z + 17 for b. -5 Let i = -93 - -97. Solve i*f + 3*p - 11 = 0, -f - 2*p + 4 = -p for f. -1 Let j = -34 - -13. Let o be (-1)/2 + j/(-6). Let c be (-1)/o + 10/3. Solve c*y = 2*w - w + 17, 3*w = y - 11 for y. 5 Suppose 3*x - 1 - 5 = 0. Let k = -8 + 5. Let u = k + 4. Solve x*q - u = 3*b, 0 = -q - b + 2*b for q. -1 Let r = -14 + 20. Suppose 40 = -r*p + 2*p. Let j be (-6 + 3)*p/6. Solve o = -3*t - 10, -t + j*o = 3*t + 45 for t. -5 Let i(x) = -x - 3. Let q be i(-5). Suppose 0 = l + q - 4. Let p be 36/4*(l - 1). Solve 2*a - 10 = 2*h, 3*a - p = -0*a for h. -2 Suppose -3*l + 4*l - 56 = 0. Suppose 2*h - l = -2*b, -3*h + 2*b + 22 + 52 = 0. Solve 5*k - 6 = 4*z + 34, 2*z + h = 4*k for z. -5 Suppose -5*z = 23 - 3, 40 = 5*c - 5*z. Let o(h) = h**2 - 11*h + 22. Let f be o(9). Solve f*v = -s + c, -5*v + s + 1 = -4*v for v. 1 Let h be (-10)/15*-9 - 4. Solve -9 = -5*c + 2*c - 3*i, 3*i - 14 = h*c for c. -1 Let y(g) = g**2 - 3*g - 4. Let v be y(4). Suppose 2*a - t - 66 + 14 = v, 73 = 3*a + t. Solve -5*q + 5 = -z - 0, -5*q - 3*z + a = 0 for q. 2 Suppose 4*y - 1 = -f + 27, 0 = -4*y + 3*f + 12. Solve -2*j = -y*m + 2*m + 2, -m + 14 = 4*j for j. 3 Let z be -2 + (4 + -3)*9. Solve -5*v = -h - z, 0 = 4*v + 4*h +
{ "pile_set_name": "DM Mathematics" }
w(3). Solve f + j = 2 for f. -5 Suppose -2*s + 14 - 6 = 0. Solve -s*x = 2 + 10 for x. -3 Let n(r) = -r**3 + 2*r**2 + 3*r + 4. Let v be n(3). Suppose -2*c = -46 - 80. Suppose -d - d - v*h = -44, 4*d + 3*h = c. Solve -2*q - d = 2*q for q. -3 Let r = -1 + 1. Suppose x = -r*x. Solve -2*l - 8 + 4 = x for l. -2 Let h(a) = -a**2 + 5*a + 9. Let g be h(6). Let f(m) = m**2 + 5*m + 3. Let w be f(-6). Solve g*c + w = -0*c for c. -3 Let w be -4 - 5/(30/(-96)). Solve -w = 4*r + 4 for r. -4 Let r(k) = k**2 - 12*k - 24. Let w be r(14). Solve -3*o + 5 = -w*o for o. -5 Let h be 6/4*19/((-171)/(-12)). Let c = 2 + 0. Let s = 1 + c. Solve 0 = h*g + s*g + 10 for g. -2 Let i = -106 - -108. Solve i*b + 10 = -3*b for b. -2 Let p = 13 + 7. Let b be 5/2*16/p. Let s be b/(-4)*0/1. Solve a + 1 + 0 = s for a. -1 Suppose -5*r + 24 = 2*z, 0*z - 21 = -3*r + z. Let y = 14 - r. Solve 0 = -3*n - n - y for n. -2 Suppose -6*o = -o. Suppose n + 5*d = 10, -19 = -2*n + n - 2*d. Solve -4*j - j + n = o for j. 5 Let k be (0 - 3) + -2 - -5. Solve -4*f + 5*f - 3 = k for f. 3 Suppose 46 = 5*h - 134. Suppose 0*c - 4*c = -h. Suppose -3 = -3*b + c. Solve b*j = -j for j. 0 Let f = -13 + 13. Solve f = l - 0*l + 1 for l. -1 Let x = 1 - -1. Suppose 0*u - 5*u - 10 = 0. Let p = u + 4. Solve -g - p = x for g. -4 Suppose 27 = 5*z - 3*c, 3*z + c - 18 - 1 = 0. Let d be ((-4)/6)/(3/(-9)). Let b be 2/(-8) + 68/16. Solve -d*f - b = -z*f for f. 1 Let d(n) be the second derivative of n**5/20 + n**4/4 - n**3 - 3*n**2 + 3*n. Let a be d(-4). Solve -l = -a - 3 for l. 5 Let q be (-4)/((-32)/8)*6. Suppose 0 = -2*z + z + 2. Solve -i - q = -z for i. -4 Suppose 0*b + 15 = 3*b. Suppose m + 13 = b. Let x(y) = -y**2 - 9*y - 5. Let q be x(m). Solve -3 = q*i - 12 for i. 3 Let k = -26 + 37. Solve k = -5*z + 1 for z. -2 Suppose 8 = f - 5*c + 1, 1 = -c. Solve 5*u + 3 = -f for u. -1 Let r be (-9)/(-18)*(-20)/(-2). Let l = 5 - r. Solve l*h = 2*h for h. 0 Let k(n) = -2*n + 4. Let j be k(-8). Let g = 3 - 1. Solve 0 = -3*s - g*s + j for s. 4 Suppose 4*r - 6 = r. Let k(w) = -5*w + r*w**2 - 1 + 0*w**2 + 3. Let n be k(3). Solve -o = -n*o for o. 0 Suppose -4*f = -8, 0*g - 5*g + 4*f + 92 = 0. Let d = 20 - g. Solve 2*b + d*b = 10 for b. 5 Let t = 0 - 0. Suppose t = -4*v + v + 15. Let z(n) = -2*n - 9. Let b be z(-6). Solve v = -2*h - b*h for h. -1 Suppose -42 = -6*w + 24. Solve 5*z = w + 4 for z. 3 Let c = -6 - -11. Suppose c*q = 6 + 4. Solve q = -2*y + 6 for y. 2 Let t = -4 + 5. Let k be 3 + -1 - (-1)/t. Solve 3*x + k - 6 = 0 for x. 1 Suppose 0 = -3*d - 9 + 12. Solve -p + d = -0 for p. 1 Let u(l) = -l**2 + 2*l + 8. Let b be u(4). Solve k + 4 - 3 = b for k. -1 Let n be (-1)/(-3) - 2/6. Suppose -5*i + 14 = -2*w, 3*i - 9 = -5*w + 18. Solve -x + 4*x - w = n for x. 1 Let j(l) = l**3 + 10*l**2 + 8*l - 8. Let z be j(-9). Suppose -5*w = 2*r + 23, -5*w - 2*r - 30 = -7*r. Let p = w - -8. Solve 4*v + p = -z for v. -1 Let t = -12 + 22. Suppose -4*z = z - t. Let j be 7/3 - 2/(-3). Solve 3*q + j = z*q for q. -3 Suppose 3*s - 17 = -2*w + 2*s, 0 = -4*w - 3*s + 39. Solve w*v - 5*v = 3 for v. 3 Let v(m) be the third derivative of 0 - 5/3*m**3 + 3*m**2 + 0*m + 1/24*m**4. Let l be v(10). Solve l = 3*x - 0*x + 6 for x. -2 Let q = 15 + -11. Solve 8 = q*u - 0*u for u. 2 Suppose r - 1 - 9 = -2*f, 5 = -r + f. Solve r = -4*n - 0*n + 12 for n. 3 Let q = -7 - -2. Let l(s) be the second derivative of -s**4/12 - 5*s**3/6 + 2*s**2 + s. Let x be l(q). Solve -x*i + 1 = -3 for i. 1 Let f = -45 + 61. Solve -5*g = -g + f for g. -4 Let h be (-80)/(-12) - (-4)/(-6). Let m(f) = -f + 8. Let a be m(h). Solve -a*p - 3 = p for p. -1 Suppose 0 = -2*p - 5*s + s + 2, 0 = -3*p - 4*s + 5. Suppose 2*l = -p*l + 10. Solve l + 4 = -2*y for y. -3 Let d = 2 + -4. Let h be d + 4 - 2*-1. Solve h*j = 2*j for j. 0 Let c(o) = -2*o + 9. Let t be c(9). Let z be 6*3*(-1)/t. Suppose 4 + 8 = z*i. Solve 2*g = i - 2 for g. 2 Let k(g) = 10*g - 10. Let s(v) = v - 1. Suppose 0 = 4*q - 8 + 4. Let a(x) = q*k(x) - 6*s(x). Let l be a(6). Solve 4*w - l = -4 for w. 4 Let z be (-4)/14 + 464/56. Suppose 100 = z*o - 4*o + 5*l, 4*o - 100 = l. Solve 0 = -6*j + j + o for j. 5 Let s(d) = d**3 - 5*d**2 - 5*d. Let c be s(6). Let x = c - 2. Solve 4*h = -x - 12 for h. -4 Suppose -5*g - 3 - 2 = 0. Let i be (72/30)/(g/(-5)). Solve -6*m = -2*m - i for m. 3 Let y = -41 - -49. Solve g + y = 3*g for g. 4 Suppose -13*q = -11*q - 8. Solve -q*p = p - 15 for p. 3 Let q(k) = k**2 + k + 2. Let t be q(0). Suppose 5 = 5*w + a, t*w - w - 15 = -3*a. Suppose -2*j = -w*j - 6. Solve 0 = -5*v + j*v + 10 for v. 5 Suppose 4*v = 16 + 4. Solve 2*y + 3*y = -v for y. -1 Let y = -1 - -1. Let c be 1/(3 - (1 + 1)). Let a be 0/((c + -3)*1). Solve 4*p + 16 + y = a for p. -4 Let g = -3 + 15. Let t = g - 6. Let u be 1/2*t + 1. Solve c = -c - u for c. -2 Suppose 19*d - 72 - 23 = 0. Solve t = d*t for t. 0 Suppose -2*w - 5*m = -27, -3*w + 5*w = -4*m + 24. Let k = w + -3. Suppose -3*n - k*r + 27 = 0, n = -2*n + r + 11. Solve 1 - n = -y for y. 4 Suppose 0 = 5*v - 3 - 7. Suppose -4*l = -6 - 6, -w = l. Let s = w - -9. Solve v*k = s*k for k. 0 Let b = 15 - 25. Let p(v) = v**3 + 12*v**2 + 14*v + 8. Let o be p(b). Let c be 2/9 + o/18. Solve 2*s - s = -c for s. -4 Let l = 20 + -20. Solve 3*f - 4 - 2 = l for f. 2 Let l be (-18)/15*50/(-15). Solve -u - l*u = 0 for u. 0 Let q(j) = -j + 13. Let b be q(7). Let a be (-12)/2*b/(-4). Suppose -4*x - 5*z - 5 = -38, 0 = -2*x - z + a. Solve 3*v = x*v + 5 for v. 5 Suppose 3*d = -u - 4*u + 11, -d - 3 = -5*u. Let i = -18 + 20. Let g be (i + 2)/d + 7. Solve -g = k - 4*k for k. 3 Suppose -2*g + s + 10 = 0, -g + 3*s - 4*s = -2. Let v = 7 - g. Suppose 11*r - 8*r - 9 = 0. Solve 0 = -v*m - 0*m + r for m. 1 Suppose 3*l + 4*x + 0*x = 247, x + 80 = l. Let g be (4/6)/(3/l). Suppose -3 + g = 3*t. Solve -11 + t = 2*k for k. -3 Suppose 0 = 5*d - 9 - 11. Let j be (d - (0 + 3)) + 11. Suppose 3*y = l + j, 4*y - 2*l - 11 = 5. Solve v + v = -y for v. -2 Let s = 16 - 16. Solve s = 3*p + 2 - 8 for p. 2 Let k be 0/1 - (-6)/2. Solve j = k*j for j. 0 Suppose -4*v + 48 = -2*b, -7 + 55 = 4*v - b. Solve -5*n - v = 8 for n. -4 Let j(y) = y**2 + 8*y + 9. Let l be j(-7). Let m(c) = -c - 1. Let s be m(-7). Suppose s = 2*g - 24. Solve -p - l*p - g = 0 for p. -5 Suppose 2*h = 2*y - 3*h + 2, 3*h = -4*y + 22. Suppose 0*a = a + 2*v + y, 3*a = -v + 3. Solve -a*b + 15 = -5*b for b. -5 Suppose 4*k - 7 = 4*c + 9, 4 = -2*c. Solve k*g + g = -6 for g. -2 Let g(u) = -2*u**3 + u**2 + 2*u + 1. Let p be g(-1). Let v be 260/28 + p/(-7). Let r(h) = h**3 - 8*h**2 - 10*h + 9. Let l be r(v). Solve -4*q + 0*q = l for q. 0 Let g = -17 + 24. Suppose 4*b + 2*u - 19 = -b, -b = 4*u + g. Solve 3*c - 2*c - b = 0 for c. 5 Suppose 3*h = -3*j - 1 - 8, -2*h + 4*j + 18 = 0. Suppose -2*k + h = 3*f, 12 = -5*k + 2*k. Let o be (0 + (-2)/4)*-6. Solve -f*u + 6 + o = 0 for u. 3 Let p(y) = y + 13. Let x be p(-9). Solve 8 = -x*d + 2*d for d. -4 Suppose -4*k - 1 = -17. Suppose 0 = k*h + h - 40. Let q be 17/3 + h/(-12). Solve -2*s + 6 = -q*s for s. -2 Let n = 8 + -7. Solve 11 - n = -5*y for y. -2 Let x(s) = s**2 + 10*s + 15. Let h be x(-10). Solve 0*t = -3*t + h for t. 5 Let i(f) = 4*f + 41. Let g be i(-8). Solve g = -4*a + 21 for a. 3 Let s be 14/(-5)*(-15)/6. Let l = -5 + s. Solve l*d - 7 + 1 = 0 for d. 3 Suppose 2 = 2*r + 8. Let y(f) be the third derivative of f**5/60 - f**3/2 - 17*f**2. Let p be y(r). Solve -w = 2*w - p for w. 2 Let p be 6 + 4 + 0 + 2. Suppose h + p = -2*h. Let s = 13 + h. Solve -s = 2*n + n for n. -3 Suppose -m - 4*m = a + 15, 0 = -5*m - 15. Solve a = -3*v + 2*v + 3 for v. 3 Let k = 3 + -1. Suppose -2*h + 4 = -k. Let l(y) = -y + 2. Let r be l(2). Solve r = -h*a + 2*a + 1 for a. 1 Suppose -2 = -2*d + 6. Solve d*a + 12 = -0*a for a. -3 Let b = -9 + 12. Solve -b*o = -o for o. 0 Let u be 1/(-4) - 102/(-24). Let p(o) = -o**3 - 6*o**2 - 4*o - 5. Let r be p(-6). Suppose -81 = -5*m + r. Solve u*q - m = -4 for q. 4 Suppose 0*o + o - 12 = 0. Suppose 3*q - 1 = -5*g - 59, -o = 2*q - 2*g. Let r = 17 + q. Solve 4*m - m = r for m. 2 Let z be 3 - ((-8)/10)/((-28)/(-70)). Solve 0 = -z*o - 12 + 27 for o. 3 Suppose -d = 2, d = -z - 0*z - 2. Let k = -20 - -22. Solve k*c - 13 + 5 = z for c. 4 Let k be 0 + (-3 - -9)/2. Suppose 0 = 5*q - k - 2. Solve -2*b + q = 3 for b. -1 Suppose -g = -3*f - 7,
{ "pile_set_name": "DM Mathematics" }
? 0 Calculate the remainder when 1598 is divided by 6. 2 What is the remainder when 58 is divided by 28? 2 Calculate the remainder when 1802 is divided by 64. 10 Calculate the remainder when 295 is divided by 280. 15 Calculate the remainder when 88 is divided by 34. 20 What is the remainder when 35 is divided by 2? 1 What is the remainder when 82 is divided by 7? 5 Calculate the remainder when 740 is divided by 198. 146 Calculate the remainder when 2971 is divided by 2. 1 Calculate the remainder when 382 is divided by 4. 2 Calculate the remainder when 987 is divided by 242. 19 What is the remainder when 2007 is divided by 15? 12 What is the remainder when 98 is divided by 40? 18 Calculate the remainder when 190 is divided by 62. 4 What is the remainder when 146 is divided by 97? 49 What is the remainder when 442 is divided by 148? 146 Calculate the remainder when 929 is divided by 31. 30 What is the remainder when 335 is divided by 23? 13 Calculate the remainder when 47 is divided by 45. 2 What is the remainder when 264 is divided by 54? 48 Calculate the remainder when 68 is divided by 30. 8 Calculate the remainder when 125 is divided by 35. 20 What is the remainder when 9953 is divided by 85? 8 What is the remainder when 88 is divided by 16? 8 Calculate the remainder when 77 is divided by 20. 17 Calculate the remainder when 209 is divided by 42. 41 What is the remainder when 112 is divided by 101? 11 What is the remainder when 1088 is divided by 360? 8 Calculate the remainder when 301 is divided by 50. 1 What is the remainder when 2138 is divided by 17? 13 What is the remainder when 172 is divided by 61? 50 Calculate the remainder when 4973 is divided by 11. 1 What is the remainder when 447 is divided by 62? 13 Calculate the remainder when 82 is divided by 22. 16 What is the remainder when 70 is divided by 24? 22 Calculate the remainder when 195 is divided by 22. 19 Calculate the remainder when 2396 is divided by 795. 11 Calculate the remainder when 54 is divided by 14. 12 What is the remainder when 49 is divided by 7? 0 What is the remainder when 557 is divided by 139? 1 Calculate the remainder when 226 is divided by 18. 10 What is the remainder when 305 is divided by 31? 26 Calculate the remainder when 438 is divided by 7. 4 What is the remainder when 518 is divided by 60? 38 What is the remainder when 105 is divided by 59? 46 What is the remainder when 225 is divided by 16? 1 What is the remainder when 1298 is divided by 260? 258 Calculate the remainder when 342 is divided by 131. 80 What is the remainder when 911 is divided by 49? 29 Calculate the remainder when 679 is divided by 11. 8 What is the remainder when 28 is divided by 15? 13 Calculate the remainder when 63 is divided by 12. 3 What is the remainder when 514 is divided by 165? 19 Calculate the remainder when 63 is divided by 17. 12 What is the remainder when 3671 is divided by 136? 135 What is the remainder when 234 is divided by 95? 44 Calculate the remainder when 311 is divided by 15. 11 What is the remainder when 75 is divided by 40? 35 What is the remainder when 80 is divided by 27? 26 What is the remainder when 1165 is divided by 384? 13 Calculate the remainder when 172 is divided by 116. 56 Calculate the remainder when 435 is divided by 198. 39 What is the remainder when 514 is divided by 18? 10 Calculate the remainder when 33 is divided by 25. 8 What is the remainder when 1698 is divided by 25? 23 What is the remainder when 1565 is divided by 76? 45 What is the remainder when 334 is divided by 161? 12 Calculate the remainder when 61 is divided by 56. 5 Calculate the remainder when 2008 is divided by 665. 13 What is the remainder when 439 is divided by 10? 9 What is the remainder when 752 is divided by 63? 59 Calculate the remainder when 349 is divided by 148. 53 Calculate the remainder when 608 is divided by 100. 8 Calculate the remainder when 100 is divided by 19. 5 What is the remainder when 243 is divided by 52? 35 Calculate the remainder when 871 is divided by 38. 35 What is the remainder when 222 is divided by 31? 5 Calculate the remainder when 1024 is divided by 27. 25 Calculate the remainder when 87 is divided by 8. 7 Calculate the remainder when 16563 is divided by 25. 13 Calculate the remainder when 1152 is divided by 9. 0 What is the remainder when 106 is divided by 18? 16 Calculate the remainder when 127 is divided by 40. 7 What is the remainder when 39 is divided by 19? 1 Calculate the remainder when 957 is divided by 6. 3 What is the remainder when 24 is divided by 18? 6 What is the remainder when 1618 is divided by 30? 28 Calculate the remainder when 22615 is divided by 260. 255 What is the remainder when 75 is divided by 20? 15 Calculate the remainder when 42 is divided by 16. 10 Calculate the remainder when 69 is divided by 26. 17 Calculate the remainder when 436 is divided by 32. 20 What is the remainder when 982 is divided by 24? 22 Calculate the remainder when 552 is divided by 28. 20 Calculate the remainder when 384 is divided by 191. 2 What is the remainder when 540 is divided by 136? 132 Calculate the remainder when 2251 is divided by 49. 46 What is the remainder when 92 is divided by 16? 12 What is the remainder when 177 is divided by 93? 84 What is the remainder when 579 is divided by 318? 261 Calculate the remainder when 53 is divided by 20. 13 Calculate the remainder when 380 is divided by 64. 60 What is the remainder when 267 is divided by 188? 79 Calculate the remainder when 635 is divided by 93. 77 What is the remainder when 250 is divided by 52? 42 Calculate the remainder when 414 is divided by 8. 6 Calculate the remainder when 61 is divided by 42. 19 Calculate the remainder when 227 is divided by 216. 11 What is the remainder when 2119 is divided by 349? 25 Calculate the remainder when 910 is divided by 132. 118 Calculate the remainder when 621 is divided by 193. 42 Calculate the remainder when 101 is divided by 26. 23 Calculate the remainder when 1153 is divided by 208. 113 What is the remainder when 2388 is divided by 184? 180 Calculate the remainder when 158 is divided by 46. 20 What is the remainder when 38581 is divided by 364? 361 What is the remainder when 162 is divided by 147? 15 Calculate the remainder when 1700 is divided by 424. 4 What is the remainder when 361 is divided by 90? 1 What is the remainder when 1043 is divided by 95? 93 Calculate the remainder when 157 is divided by 58. 41 Calculate the remainder when 251 is divided by 57. 23 Calculate the remainder when 31 is divided by 14. 3 Calculate the remainder when 177 is divided by 30. 27 Calculate the remainder when 392 is divided by 33. 29 Calculate the remainder when 313 is divided by 168. 145 What is the remainder when 27 is divided by 20? 7 Calculate the remainder when 93 is divided by 82. 11 What is the remainder when 3 is divided by 2? 1 Calculate the remainder when 538 is divided by 134. 2 Calculate the remainder when 7005 is divided by 113. 112 Calculate the remainder when 1299 is divided by 110. 89 Calculate the remainder when 627 is divided by 196. 39 What is the remainder when 316 is divided by 151? 14 Calculate the remainder when 244 is divided by 147. 97 Calculate the remainder when 321 is divided by 115. 91 Calculate the remainder when 3063 is divided by 7. 4 Calculate the remainder when 725 is divided by 2. 1 What is the remainder when 465 is divided by 26? 23 Calculate the remainder when 685 is divided by 179. 148 Calculate the remainder when 3588 is divided by 1150. 138 Calculate the remainder when 2600 is divided by 14. 10 What is the remainder when 50 is divided by 32? 18 Calculate the remainder when 805 is divided by 213. 166 What is the remainder when 233 is divided by 13? 12 Calculate the remainder when 460 is divided by 142. 34 What is the remainder when 356 is divided by 162? 32 What is the remainder when 509 is divided by 205? 99 Calculate the remainder when 1499 is divided by 50. 49 What is the remainder when 87 is divided by 34? 19 What is the remainder when 183 is divided by 31? 28 Calculate the remainder when 382 is divided by 85. 42 Calculate the remainder when 492 is divided by 39. 24 What is the remainder when 1408 is divided by 551? 306 W
{ "pile_set_name": "DM Mathematics" }
of 0*f**3 + u + f + 0*f**2 - 1/12*f**4. Let z(c) = 3*c**2. Give w(z(q)). -9*q**4 Let y(b) = 10214*b**2. Let a(t) = 3*t. What is y(a(c))? 91926*c**2 Let p(l) = -10*l - 2*l + 11*l. Let s(r) = -147 - r + 147. Calculate s(p(a)). a Let d(k) = 15*k - 3. Let p(t) be the first derivative of t**4/6 + 27*t - 1. Let y(x) be the first derivative of p(x). Give d(y(v)). 30*v**2 - 3 Let r(l) be the second derivative of l**4/12 - 46*l. Let h(b) = -1018*b. Determine h(r(i)). -1018*i**2 Let v(x) = 507*x - 255*x - 2*x**2 - 252*x - 24*x**2. Let m(w) = -9*w. Give v(m(d)). -2106*d**2 Let o(i) = -32*i - 6*i**2 - 23*i + 55*i. Let v(f) = -147*f**2 + 1. What is v(o(u))? -5292*u**4 + 1 Let a(v) = -v**2 - 3. Let b(n) = -4922 - n + 4922. What is a(b(y))? -y**2 - 3 Let m(b) be the first derivative of -202 + 0*b**2 - b**2 + 210. Let z(v) = 3. Let w(h) = -h + 4. Let l(r) = 3*w(r) - 4*z(r). Give m(l(s)). 6*s Let d(z) = 3*z**2. Let r(u) = -390*u**2 - 456*u**2 + 745*u**2 - 2*u + 2*u. Determine d(r(a)). 30603*a**4 Let a(t) = -t. Let r(h) = -107*h + 171. Calculate r(a(o)). 107*o + 171 Let l(s) = -5*s. Let m(t) = -11933*t. What is m(l(j))? 59665*j Let b(c) = 53*c. Let k(r) = -29407*r**2. Determine k(b(m)). -82604263*m**2 Let o be 9/((-198)/(-260)) - (-4)/22. Let a = -10 - -15. Let p(g) = 10 + a - 15 + o*g. Let q(n) = -n**2. What is q(p(i))? -144*i**2 Let s(b) = 398*b**2 - 1235*b**2 + 407*b**2 + 414*b**2. Let y(j) = 27*j**2. Calculate y(s(c)). 6912*c**4 Let c(k) = -5*k**2. Let t(q) = 66341*q. Calculate c(t(x)). -22005641405*x**2 Suppose -3*q + 13 = -2*q. Suppose 4*j - 29 = c, 2*c = 3*j + 3*c - q. Let w(i) = 2*i**2 - 7*i**2 + j*i**2. Let y(h) = -4*h**2. Give y(w(r)). -4*r**4 Let m(i) = 10*i**2 - 9*i. Let k(g) = 4*g**2 + 0*g**2 + 0*g**2 - 5*g**2 + g. Let s(q) = -18*k(q) - 2*m(q). Let c(t) = -5*t**2. Give s(c(v)). -50*v**4 Let o(r) = -2*r. Let z(a) = -71*a - 73. What is z(o(u))? 142*u - 73 Let j(b) = -16*b. Let q(w) be the second derivative of -7*w**4/12 + 63*w. What is j(q(s))? 112*s**2 Let k(j) = -5*j. Let h(u) = -u**2 - 7*u. Let y(l) = l - 3*l - 4*l - l**2 + 0*l**2. Let a(f) = -6*h(f) + 7*y(f). Determine a(k(o)). -25*o**2 Let c(l) = 36*l**2. Let d(z) be the first derivative of 7*z**3/3 - 608. Determine c(d(b)). 1764*b**4 Let h(v) be the second derivative of -v**3/3 - 51*v - 1. Let r(p) = -66*p + 2. Give h(r(y)). 132*y - 4 Let n(q) = 1298*q. Let p(m) = 3*m - 2. What is p(n(f))? 3894*f - 2 Let g(j) = -2*j. Let x be 10/35 - (-38)/14. Let w(c) = c**3 - c**2 - 5*c + 2. Let y be w(x). Let f(a) = -a**2 + 5*a - y*a. What is f(g(k))? -4*k**2 Let n(v) = 8*v. Let h(t) = -3 - 1890*t + 1902*t + 3. What is h(n(a))? 96*a Let k(w) = 2240*w**2. Let v(h) = 5*h**2. What is k(v(f))? 56000*f**4 Let q(m) be the third derivative of m**5/3 - m**4/12 - 745*m**2. Let u(p) = 14*p. Determine q(u(j)). 3920*j**2 - 28*j Let r(q) = -454557*q - 1. Let j(n) = 3*n**2. Give r(j(u)). -1363671*u**2 - 1 Let q(g) = -12*g**2. Let l(z) be the third derivative of -13*z**5/60 + 56*z**2. Give q(l(v)). -2028*v**4 Let f(p) = 5*p**2. Let u(z) be the third derivative of z**7/1680 - 7*z**5/60 + 10*z**2. Let y(b) be the third derivative of u(b). Determine y(f(q)). 15*q**2 Let g(y) = -8*y**2 - 2*y**2 - 8*y**2. Let r(o) = -2*o - 567 + 0*o + 1149 - 582. Determine r(g(n)). 36*n**2 Let a(q) = 2*q**2. Let g(y) = -y**3 - 4*y**2 + 3*y + 4. Let i be g(-5). Let s(u) = 10 + 22*u - i + 4. Give s(a(n)). 44*n**2 Let o(l) = -6*l**2. Let v(t) be the third derivative of 15*t**4/8 - 4*t**2 + t. Calculate o(v(r)). -12150*r**2 Let p = 3 + 0. Let u(r) = p*r**2 - 6*r**2 + 2*r**2. Let a(f) be the second derivative of -f**3/3 + 25*f - 4. Give a(u(m)). 2*m**2 Let f(d) be the third derivative of 493*d**4/8 + 113*d**2 + d. Let k(q) = -q**2. Calculate f(k(z)). -1479*z**2 Let w(u) = -15*u - 2. Let m(g) = -7*g**2 + 2. Determine w(m(v)). 105*v**2 - 32 Let a(p) = -p**2. Let h(t) = -2*t**2 + 13*t + 5. Let f be h(6). Let x(z) = -7*z**2 - 6. Let u(c) = 14*c**2 + 11. Let i(g) = f*x(g) + 6*u(g). Calculate i(a(l)). 7*l**4 Let f(o) = -7*o**2 + 5*o**2 + 6*o**2 - 5*o**2. Let x(z) = -2*z - 173. What is x(f(b))? 2*b**2 - 173 Let a(l) = -l**2. Let m(p) = -25069 + 25069 + 8*p. Calculate m(a(z)). -8*z**2 Let l(i) = 3*i + 4332. Let w(n) = -n. Determine l(w(f)). -3*f + 4332 Let k = 97 + -95. Let f(b) = 0*b**k + 5*b**2 - 5*b**2 + 2*b**2. Let m(x) = 11*x. What is f(m(v))? 242*v**2 Let t(p) be the first derivative of -2/3*p**3 + 0*p + 10 + 0*p**2. Let x(a) = -a. What is t(x(k))? -2*k**2 Let z(c) = 3*c**2. Let g(l) = -160261*l. What is z(g(u))? 77050764363*u**2 Let q(c) = -3*c - 32. Let a be q(-12). Let j(y) = 23*y + a*y - 6*y + y. Let l(w) = 2*w. Give j(l(p)). 44*p Suppose 6*c - 2*c - 83 = -5*s, s + 23 = c. Let z(g) = c - 93*g**2 - 22. Let w(o) = o**2. What is w(z(b))? 8649*b**4 Let u(b) = -b**2 - 22. Let c(n) = -69*n**2 + 5*n. What is c(u(g))? -69*g**4 - 3041*g**2 - 33506 Let x(d) = 161825*d. Let y(o) = -10*o**2. What is y(x(k))? -261873306250*k**2 Let q(s) = -s**2 + 4*s**2 + s**2 - 5*s**2. Let y(g) = -5*g**2 - 6. Let i(n) = 121*n**2 + 143. Let m(w) = -6*i(w) - 143*y(w). Give q(m(t)). -121*t**4 Let y(o) = -561*o. Let k(d) = 4*d**2. Calculate y(k(b)). -2244*b**2 Let h(q) = 6*q - 6*q - q - 2 + 3. Let u(s) = -17*s**2 - 4*s + 4. Let l(o) = 4*h(o) - u(o). Let g(c) = -3*c**2. Calculate g(l(n)). -867*n**4 Let j(g) = 1098*g - 2. Let x(w) = 5*w. Determine j(x(a)). 5490*a - 2 Let g(v) be the first derivative of -v**2/2 + 1. Let n(u) = -8*u + 56. Let o be n(6). Let s(r) = r**2 - 22*r + 14*r + o*r. Calculate g(s(t)). -t**2 Let y(j) = 2*j - 21. Let t(b) = 566 + 3*b - 566. What is t(y(r))? 6*r - 63 Let f(z) = 2*z. Let c(k) be the second derivative of k**5/12 - 9*k**2/2 + 8*k. Let y(h) be the first derivative of c(h). Calculate y(f(q)). 20*q**2 Let t(u) = -3*u. Let x(p) = 137 + 0*p - p + 0*p - p + 101. Calculate x(t(a)). 6*a + 238 Let l(x) = -235*x**2. Let d(p) be the second derivative of p**3/2 + 5*p + 35. Calculate d(l(k)). -705*k**2 Let m(x) = 24*x**2 + 6*x - 3. Let j(p) = -26*p**2 - 8*p + 4. Let w(t) = 3*j(t) + 4*m(t). Let i(u) = -5*u. What is w(i(v))? 450*v**2 Let a(y) be the second derivative of y**3/2 + 5*y**2/2 - 28*y. Let v(x) = 2*x + 4. Let d(p) = -4*a(p) + 5*v(p). Let o(b) = 15*b. Calculate d(o(h)). -30*h Let f(u) = 4*u**2. Suppose 0*h + 12 = 3*h. Let q(s) = -s**2 - 5. Let p(w) = 4. Let a(x) = h*q(x) + 5*p(x). Determine a(f(c)). -64*c**4 Let n(t) = -3*t. Let g(r) = 6 + 1519*r - 4 - 1511*r. What is g(n(x))? -24*x + 2 Let o(y) = y. Let v(p) = -4*p**2 - p - 1399. What is v(o(b))? -4*b**2 - b - 1399 Let f(t) = -2*t. Suppose 9*h + 6 - 15 = 0. Let v(m) = -m**2 + m + 1. Let u(a) = 63*a**2 + 6*a + 6. Let n(c) = h*u(c) - 6*v(c). Give n(f(d)). 276*d**2 Let f(w) = 2*w**2 - w + 1368. Let m(i) = 7*i. Give m(f(d)). 14*d**2 - 7*d + 9576 Suppose s - 57 = -0*m - 4*m, -s - m = -42. Let t(k) = 74*k - s*k - 36*k. Let w(f) = -f - 10. Give w(t(g)). -g - 10 Let o(p) be the first derivative of p**5/30 + 11*p**2/2 + 3. Let r(y) be the second derivative of o(y). Let h(v) = -6*v. Determine h(r(t)). -12*t**2 Let z(s) = 6*s**2. Let v(t) = 1632*t**2 + 640*t + 128. Let d(l) = -64*l**2 - 25*l - 5. Let k(u) = 128*d(u) + 5*v(u). Calculate k(z(p)). -1152*p**4 Let f(j) = -j**2 + 2. Let s(q) = 22*q**2 - 18*q**2 - 5*q**2. Calculate f(s(v)). -v**4 + 2 Let t(m) = 9*m**2. Let y(k) = k + 17. Let x(f) = -2*f - 35. Let v(c) = 2*x(c) + 5*y(c). Let z be v(-13). Let q(u) = 22 - 9 - 13 + z*u. Give q(t(l)). 18*l**2 Let g(y) = 1600*y - 50. Let a(b) = -94*b + 3. Let d(v) = 50*a(v) + 3*g(v). Let p(m) = -6*m. Calculate p(d(l)). -600*l Let u(a) = 9*a**2 - 982. Let b(q) = -2*q. Calculate u(b(m)). 36*m**2 - 982 Let u(v) be the second derivative of -v**4/4 - 357*v. Let i(o) be the third derivative of -o**5/10 + o**2. Calculate u(i(d)). -108*d**4 Let f(z) be the first derivative of 19*z**2/2 - 5. Let o(m) = 496*m**2 - 499*m**2 - 4*m + 4*m. What is f(o(v))? -57*v**2 Let i(w) be the first derivative of -w**2/2 - 254. Let m(o) = 320*o. Determine i(m(n)). -320*n Let q = 64 + -65. Let r(v) = -v**2 - v + 1. Let f(l) = -29*l**2 - 4*l + 4. Let b(u) = q*f(u) + 4*r(u). Let o(y) = -3*y. Calculate b(o(p)). 225*p**2 Let l(u) = 2*u. Let d(k) = 2245364*k**2. Give l(d(f)). 4490728*f**2 Let p(t) = -2*t**2. Let y(g) be the third derivative of g**8/5040
{ "pile_set_name": "DM Mathematics" }
) - m(q). What is the third derivative of r(k) wrt k? -576*k + 6 Let l = -53 - -53. What is the second derivative of 0 + l + 7*o + 40*o**3 wrt o? 240*o Let m(h) be the third derivative of 0 + 0*h**3 + 1/56*h**8 - 17/24*h**4 + 0*h**5 + 0*h**7 + 0*h + 0*h**6 - 18*h**2. What is the second derivative of m(b) wrt b? 120*b**3 Let i(m) = 350*m**3 - 647*m**2 + 5*m - 25. Let r(b) = 175*b**3 - 323*b**2 + 3*b - 15. Let j(o) = 3*i(o) - 5*r(o). What is the third derivative of j(f) wrt f? 1050 Let g(x) be the second derivative of -5*x**9/3024 + x**6/30 - x**3 + 3*x. Let a(p) be the second derivative of g(p). Find the third derivative of a(i) wrt i. -300*i**2 Let d(s) be the second derivative of -265*s**4/12 + 145*s**2 - 58*s - 3. Differentiate d(x) with respect to x. -530*x Differentiate -43 + 17*c**3 - 97 + 140*c**3 - 148 wrt c. 471*c**2 Let o(w) = w**3 - 4*w**2 - 3*w - 1. Let v be o(5). Find the third derivative of -14 - 20*p**5 - v*p**2 + 14 wrt p. -1200*p**2 Let q = 42 - 33. What is the third derivative of -18*m**6 - q*m**2 + 10*m**2 + 5*m**6 wrt m? -1560*m**3 Let u(h) be the first derivative of 7*h**6/30 - h**4/6 - 14*h - 9. Let j(y) be the first derivative of u(y). What is the third derivative of j(a) wrt a? 168*a Suppose -18 = -5*q - 3. Let p be (q/5)/(9/45). What is the first derivative of 3 - p*s + 2*s + 2 wrt s? -1 Let z(r) = -76*r**4 + 17*r**3 + 3*r - 328. Let t(g) = -26*g**4 + 6*g**3 + g - 109. Let m(s) = 17*t(s) - 6*z(s). What is the second derivative of m(h) wrt h? 168*h**2 Find the first derivative of 9*h**3 - 8*h - 7*h**3 - 8*h + 2*h**3 - 39 wrt h. 12*h**2 - 16 Let j be -4 - (-16 - (3 - 2)). Find the third derivative of 17*g**5 - 6*g**5 - 6*g**2 + 21*g**2 - j*g**5 wrt g. -120*g**2 Let r(s) = -10 + 3*s - 2 - s - 3. Let b be r(11). What is the second derivative of -4*g + 7 - b + 5*g**3 wrt g? 30*g Let v(u) = 128*u - 32. Let y(l) = 51*l - 13. Suppose -18 - 30 = -4*i. Let q(n) = i*y(n) - 5*v(n). Differentiate q(h) wrt h. -28 Let b(v) be the second derivative of 359*v**5/10 + 575*v**2/2 + v - 6. Differentiate b(a) wrt a. 2154*a**2 Let o(r) be the first derivative of -479*r**6/6 - 33*r**2/2 - 2*r + 258. What is the second derivative of o(y) wrt y? -9580*y**3 Let a(q) be the third derivative of 53*q**6/120 - q**3/2 - 81*q**2 - 2. What is the derivative of a(t) wrt t? 159*t**2 Let s(f) be the first derivative of 62*f**2 + 37*f + 149. What is the first derivative of s(a) wrt a? 124 Let y be ((-56)/12 - -4) + (-10)/(-15). Let c(g) be the first derivative of 4*g + 7/5*g**5 + 7 + 0*g**3 + y*g**4 + 0*g**2. Differentiate c(z) wrt z. 28*z**3 Suppose 3*d - d + 5*u = 10, -5*d + 3*u + 25 = 0. Find the second derivative of -52*k - 7*k**5 + 6*k**d + 2*k**2 - 25 + 23 wrt k. -20*k**3 + 4 Let o(d) = 6*d + 4. Let u be (-5)/((-40)/12)*4. Let c be o(u). Differentiate -40*h + 2*h**4 - 4 + c*h wrt h. 8*h**3 Suppose -6 + 0 = 2*b, -50 = -2*w - 4*b. Find the second derivative of w*d**2 + 34*d - 4*d + 4*d wrt d. 62 Let u(g) = -112*g**2 + 6*g + 686. Let z(o) = 335*o**2 - 16*o - 2058. Let x(y) = 8*u(y) + 3*z(y). What is the derivative of x(k) wrt k? 218*k Let d(h) be the second derivative of 10*h**7/21 - h**6/15 - h**4/6 + 33*h**2/2 - 2*h - 71. What is the third derivative of d(l) wrt l? 1200*l**2 - 48*l Let s(k) be the second derivative of 52*k**3/3 - 26*k**2 + 111*k. Differentiate s(n) with respect to n. 104 Let p(u) = -u**2. Let j(r) = -11*r**3 - 44*r**2. Suppose 0 = -d + 4, 0*s - 5*s = -5*d + 25. Let m(i) = s*j(i) + 5*p(i). Find the third derivative of m(c) wrt c. 66 Let b(i) be the first derivative of -4*i**5/5 - 11*i**3/3 - 88*i + 12. Differentiate b(g) with respect to g. -16*g**3 - 22*g Let o(n) = -80*n**4 + 8*n**2 - 11*n. Let y(m) = 80*m**4 - 9*m**2 + 12*m. Let i(s) = 6*o(s) + 5*y(s). Find the third derivative of i(q) wrt q. -1920*q Let w(m) be the second derivative of -109*m**3/6 - 9*m**2 + 19*m - 1. Differentiate w(v) wrt v. -109 Let p(x) be the third derivative of -12*x**2 + 0*x + 0*x**7 - 1/28*x**8 + 0*x**6 + 0*x**3 + 1/3*x**4 + 0*x**5 + 0. What is the second derivative of p(o) wrt o? -240*o**3 What is the second derivative of -19803*f - 10*f**2 - 16*f**2 - 27*f**2 + 19923*f wrt f? -106 Suppose -m - w = -5*m + 3, -15 = 2*m + 5*w. Suppose m = -3*r - 7 - 8, -3*r = 3*h - 27. What is the second derivative of -8*l**5 + 2*l + 8*l + h*l**5 wrt l? 120*l**3 Suppose d = -3*d + 3*l + 62, 2*l + 46 = 3*d. Find the third derivative of d + 13*y**2 - 4*y**4 - 14 + 12*y**4 wrt y. 192*y Let x(v) be the first derivative of 21*v**5 + 33*v - 23. What is the first derivative of x(c) wrt c? 420*c**3 Let t be (-93)/(-15) - 7/35. Find the second derivative of r + r**4 - 2*r**4 - 5*r - t*r wrt r. -12*r**2 Let j(w) be the second derivative of 0*w**5 + 0*w**4 + 0 + 0*w**3 + 9/2*w**2 - 30*w - 19/30*w**6. Differentiate j(l) with respect to l. -76*l**3 Let p(u) be the second derivative of 187*u**6/30 + u**5/20 - 61*u**4/12 + 3*u**2/2 - 8*u - 18. What is the third derivative of p(h) wrt h? 4488*h + 6 Suppose 4*k + 3*s - 240 = 0, k = 4*k - 3*s - 201. Let l = k + -40. Find the third derivative of 23*j - l*j - 5*j**4 + 2*j**2 wrt j. -120*j Let d(c) = 231*c**3 - 105*c**2 - 24*c + 4041. Let w(z) = 46*z**3 - 22*z**2 - 5*z + 808. Let a(t) = 5*d(t) - 24*w(t). What is the derivative of a(o) wrt o? 153*o**2 + 6*o Let j(k) be the third derivative of -67*k**5/30 + 5*k**4/24 - 7*k**3/3 + 15*k**2 + 7. What is the second derivative of j(z) wrt z? -268 Let s(b) = b**2 - 4*b - 1. Let u be s(-3). What is the second derivative of 1 + 34*x**4 + 6*x - 1 - u*x**4 wrt x? 168*x**2 Let r(s) be the second derivative of -15*s**3 - 21*s**2 + 7*s. Find the first derivative of r(h) wrt h. -90 Let o(p) = -75*p**2 - 62. Let v(s) = 226*s**2 + 186. Let x(q) = -7*o(q) - 2*v(q). Differentiate x(r) with respect to r. 146*r Let q(o) be the third derivative of -13*o**6/5 - 109*o**5/10 - 23*o**2 - 15. What is the third derivative of q(l) wrt l? -1872 Let r(j) = 2*j**2 + 19*j + 14. Let n be r(-14). Differentiate 41 - n*y - 9*y**3 + 140*y with respect to y. -27*y**2 Find the third derivative of -40*u + 404766 - 456*u**3 - 2*u**5 - 3*u**2 - 404766 wrt u. -120*u**2 - 2736 What is the second derivative of -97*i + 13*i**3 + 15*i**2 - 13*i**3 + 3*i**4 + 0*i**2 wrt i? 36*i**2 + 30 Suppose -319 = -19*y - 205. Let c(o) be the first derivative of 0*o**2 + 0*o**3 + 8/5*o**5 + y*o + 0*o**4 + 4. What is the first derivative of c(i) wrt i? 32*i**3 Let z(k) be the first derivative of -277*k**5/5 + 307*k - 145. Differentiate z(l) with respect to l. -1108*l**3 Let t(r) be the first derivative of -15*r**4/2 - r**2/2 - 21*r + 170. Differentiate t(u) with respect to u. -90*u**2 - 1 Let n(v) = -v**2 - 9*v - 20. Let h be n(-8). Let k = 6 - h. Find the second derivative of 12*m**3 - 9*m - k*m**3 + 13*m wrt m. -36*m Let h(k) be the first derivative of -82*k**6/3 + k**3/3 - 202*k**2 - 788. What is the second derivative of h(d) wrt d? -3280*d**3 + 2 Let m(c) be the second derivative of 1/5*c**5 + 0*c**2 + 2/3*c**4 + 6*c + 0 + 0*c**3. What is the third derivative of m(h) wrt h? 24 Let t(f) = 245*f - 515. Let w(s) = 41*s - 86. Let v(c) = 6*t(c) - 35*w(c). Differentiate v(y) with respect to y. 35 Let f(z) = 3*z - 16. Let o(k) be the second derivative of 4*k**3/3 - 24*k**2 + 22*k. Let y(q) = 7*f(q) - 2*o(q). What is the derivative of y(d) wrt d? 5 Let v(b) be the first derivative of -b**6/30 - 5*b**4/4 + b**2 + 26. Let c(j) be the second derivative of v(j). What is the second derivative of c(a) wrt a? -24*a Suppose 2*w + 2*o + 2 = -6, w + 2 = -2*o. Let r = -4 - w. Find the third derivative of 6*z**6 - 4*z**6 - r*z**2 + 0*z**6 wrt z. 240*z**3 Let h(f) be the second derivative of f**4/12 - 7*f**3/6 + 3*f. Let a be h(7). What is the second derivative of -o**2 - 3*o**2 + 0*o**2 - 4*o + a*o wrt o? -8 What is the second derivative of 22 - 2*y + 55*y**4 - y**2 + 3*y**2 - 49 + 28 wrt y? 660*y**2 + 4 Let b(s) be the second derivative of s**7/420 - s**6/180 + s**3/6 + 10*s. Let x(g) be the second derivative of b(g). Find the third derivative of x(i) wrt i. 12 Let r(o) = o**4 - 3*o**2 + 59*o - 4. Let n(i) = 2*i**2 - 60*i + 3. Let l(u) = -4*n(u) - 3*r(u). Find the third derivative of l(a) wrt a. -72*a Let t(b) be the third derivative of b**9/168 - b**8/112 + 17*b**5/6 -
{ "pile_set_name": "DM Mathematics" }
et d(x) = -x**2 - 15*x + 29. Determine d(-16). 13 Let u(s) = 4*s**2 - 37*s + 13. Calculate u(9). 4 Let p(o) = o**2 - 9*o + 35. What is p(7)? 21 Let h(f) = -2*f - 8. Calculate h(-6). 4 Let l(d) = -12*d - 8. What is l(-1)? 4 Let w(b) = -3*b**3 + 7*b**2 - 7*b + 8. Determine w(4). -100 Let p(v) = -v**2 + 28*v - 202. Give p(18). -22 Let u(c) = c**3 - c**2 + 3. What is u(3)? 21 Let u(l) = -4*l**3 - l**2 + 1. What is u(-1)? 4 Let p(x) = x**3 - 21*x**2 + 2*x - 39. What is p(21)? 3 Let o(h) = -2*h**3 - 13*h**2 + 5*h + 4. What is o(-7)? 18 Let m(h) = -4*h - 1. Determine m(6). -25 Let p(w) = w**2 + 23*w - 207. Determine p(-30). 3 Let t(m) = -m + 10. Give t(6). 4 Let a(c) = -c**2 - 8*c + 13. Determine a(-8). 13 Let q(n) = 10*n - 344. Calculate q(34). -4 Let l(p) = 12*p + 305. Calculate l(-25). 5 Let u(r) = r + 58. Give u(-17). 41 Let i(a) = a - 5. Determine i(2). -3 Let v(h) = 4*h + 1. Calculate v(-2). -7 Let y(z) = -z**2 + 6*z + 5. Determine y(7). -2 Let j(y) = -10*y + 110. Determine j(0). 110 Let z(p) = 21*p - 196. What is z(9)? -7 Let w(d) = -2*d**3 - d**2. Calculate w(-2). 12 Let s(i) = 15*i + 2. Give s(9). 137 Let l(o) = o**2 - 9*o - 55. Calculate l(9). -55 Let v(f) = -9*f**2 - 34*f + 13. Give v(-4). 5 Let a(k) = k**3 - 9*k + 2. What is a(-3)? 2 Let s(f) = -58*f + 306. What is s(5)? 16 Let l(g) = -7*g**3 - 2*g**2 + 2*g - 5. What is l(2)? -65 Let g(y) = -5*y - 1. Give g(5). -26 Let w(k) = -2*k**2 - 3*k + 7. Calculate w(5). -58 Let y(t) = -t**3 + 6*t**2 - 8*t - 4. Give y(4). -4 Let u(j) = 4*j + 14. What is u(-9)? -22 Let h(u) = -2*u - 39. Determine h(-15). -9 Let g(w) = w - 14. Calculate g(9). -5 Let p(r) = -2*r**3 - 44*r**2 - 41*r + 16. Determine p(-21). -5 Let t(n) = 15*n + 83. Give t(-5). 8 Let c(t) = -t**2 + 28*t - 82. Give c(25). -7 Let o(n) = n**2 + 3*n - 1. Determine o(-4). 3 Let c(o) = -9*o + 3. Give c(1). -6 Let a(o) = -6*o + 257. What is a(43)? -1 Let m(w) = -w**2 + 17*w - 6. What is m(13)? 46 Let a(l) = -l**2 + 4*l - 3. Determine a(3). 0 Let n(s) = 36*s - 66. Give n(2). 6 Let g(u) = -9*u + 16. Calculate g(2). -2 Let b(k) = -4*k - 9. Determine b(-3). 3 Let u(q) = -q**3 - 5*q**2 - 7*q - 4. Give u(-4). 8 Let q(d) = -2*d**3 + 3*d**2 + 2*d + 1. Calculate q(2). 1 Let y(l) = -l**2 + 6. What is y(-5)? -19 Let z(d) = -d**3 - 16*d**2 - 15*d + 36. Determine z(-15). 36 Let b(h) = -h**2 - 14*h - 3. Calculate b(-14). -3 Let f(u) = u**2 + 7*u - 22. Calculate f(-10). 8 Let o(d) = 2*d + 26. What is o(-10)? 6 Let o(i) = -3*i**2 + 7*i - 3. What is o(5)? -43 Let j(z) = -3*z**3 + 6*z**2 + 2*z. Determine j(3). -21 Let p(m) = 2*m**2 + 68*m + 66. Determine p(-33). 0 Let v(r) = -r**3 + 4*r**2 + 9*r - 12. Determine v(5). 8 Let z(l) = -2*l - 3. Give z(0). -3 Let c(b) = -6*b**2 + 68*b - 8. Determine c(11). 14 Let r(t) = -15*t - 7. Determine r(-5). 68 Let p(l) = -l**3 + 4*l**2 - l - 4. What is p(3)? 2 Let w(i) = -i**3 - 20*i**2 - 22*i - 11. Determine w(-19). 46 Let f(v) = -3*v + 12. Determine f(9). -15 Let h(o) = 5*o + 6. What is h(-2)? -4 Let l(v) = -5*v**2 - 99*v + 24. Determine l(-20). 4 Let y(n) = -n**3 + 24*n**2 - 80*n - 24. What is y(20)? -24 Let i(r) = 6*r**3 - 2*r**2 - 2. Calculate i(-2). -58 Let b(o) = -3*o + 6. Determine b(0). 6 Let z(o) = -2*o - 22. Determine z(-9). -4 Let i(c) = 5*c**2 + c - 2. What is i(-2)? 16 Let v(z) = 11*z - 53. What is v(5)? 2 Let s(x) = x**2 + 9. Calculate s(0). 9 Let y(r) = r**2 - 8*r - 13. Determine y(9). -4 Let p(j) = -3*j - 6. Determine p(10). -36 Let i(z) = 2*z**2 - 4*z - 1. Give i(3). 5 Let h(n) = 4*n + 29. Give h(-7). 1 Let k(l) = l**3 + 6*l**2 - 5*l + 6. Give k(-6). 36 Let s(a) = -a**3 - 9*a**2 - 8*a - 5. Give s(-2). -17 Let s(b) = -b**3 + 5*b**2 + 6*b - 24. Determine s(5). 6 Let s(w) = -w**2 - 21*w + 36. Determine s(-24). -36 Let x(m) = m**2 + 21*m + 70. Give x(-18). 16 Let c(k) = -k**3 - 4*k**2 + 17. Calculate c(-3). 8 Let w(v) = -48*v**3 - 5*v - 4. Give w(-1). 49 Let g(z) = 2*z - 12. What is g(24)? 36 Let k(h) = 4*h**2 - 4. Give k(-2). 12 Let c(s) = 7*s + 71. Give c(-15). -34 Let v(y) = -3*y - 18. What is v(-8)? 6 Let s(i) = 2*i - 1. What is s(1)? 1 Let a(n) = -16*n - 13. What is a(-1)? 3 Let q(n) = -n + 5. What is q(3)? 2 Let f(a) = a**2 + 14*a + 19. What is f(-13)? 6 Let w(u) = u + 18. What is w(0)? 18 Let d(j) = j**2 - 39*j - 123. Calculate d(-3). 3 Let d(i) = 15*i - 67. What is d(5)? 8 Let x(f) = 11*f + 63. Determine x(-20). -157 Let n(i) = 2*i**2 + 86*i - 3. Give n(-43). -3 Let p(x) = -x**3 - 8*x**2 - 7*x + 2. What is p(-7)? 2 Let b(f) = -2*f + 1. What is b(-2)? 5 Let b(j) = -2*j**2 + j + 1. Calculate b(2). -5 Let o(k) = k**2 + 13*k + 10. Determine o(-10). -20 Let j(s) = s**3 - 28*s**2 + 51*s + 20. Calculate j(26). -6 Let v(y) = -7*y + 41. Calculate v(7). -8 Let f(o) = -19*o - 3. What is f(-3)? 54 Let y(x) = -x**2 + 5*x - 5. Give y(2). 1 Let j(x) = -2*x - 2. Give j(-7). 12 Let o(m) = 7*m + 20. Give o(-2). 6 Let a(j) = j**2 - 9*j - 8. Give a(9). -8 Let a(v) = -v**2 - 15*v - 17. What is a(-14)? -3 Let y(r) = r**2 + 8*r + 4. Determine y(-7). -3 Let q(v) = v**3 + 5*v**2 + 3*v - 9. What is q(-5)? -24 Let m(r) = r + 2. Determine m(-9). -7 Let y(c) = -8*c**2 + 2*c - 2. What is y(2)? -30 Let s(a) = -2*a + 1. Give s(-3). 7 Let f(k) = -k**3 + 5*k**2 - 5*k + 5. Give f(3). 8 Let i(k) = k**3 - k**2 + 2*k + 131. Give i(0). 131 Let y(d) = -d**3 + d**2 + 5*d + 5. What is y(-2)? 7 Let j(y) = 4*y + 11. Calculate j(-9). -25 Let t(u) = 2*u + 10. What is t(9)? 28 Let k(x) = 2*x**2 + 4*x - 2. What is k(-3)? 4 Let k(o) = -o**2 - 5*o - 9. Give k(0). -9 Let c(b) = -5*b - 17. What is c(8)? -57 Let a(f) = 20*f**2 - f. Give a(-2). 82 Let h(q) = q - 27. Calculate h(19). -8 Let m(x) = 2*x + 6. Give m(-4). -2 Let w(g) = -8*g - 22. Calculate w(-7). 34 Let y(z) = z**2 + 5*z + 6. Calculate y(-9). 42 Let g(k) = -91*k - 546. Give g(-6). 0 Let t(k) = k**3 + k**2 + 3*k + 59. Give t(0). 59 Let q(v) = -23*v**3 - v - 1. Determine q(-1). 23 Let b(l) = l**3 - 3*l**2 - 27*l - 7. What is b(7)? 0 Let j(y) = y**2 + 17*y + 13. Give j(-16). -3 Let b(k) = k**3 - 23*k**2 - 29*k + 127. Give b(24). 7 Let n(k) = -k**3 - 4*k**2 + 3*k - 2. Calculate n(-5). 8 Let z(p) = -p**3 - 15*p**2 - 31*p - 8. Determine z(-13). 57 Let y(a) = -13*a**2 - 64*a + 2. Calculate y(-5). -3 Let d(c) = -c**2 + 14*c - 25. What is d(7)? 24 Let p(t) = -14*t + 271. What is p(19)? 5 Let w(f) = -f**2 + 18*f. Give w(0). 0 Let g(i) = i + 33. What is g(0)? 33 Let a(m) = 11*m - 48. What is a(5)? 7 Let g(j) = 3*j**3 - j**2 - j. Give g(-1). -3 Let a(h) = -4*h**2 + h + 2. Give a(3). -31 Let f(b) = -b**2 - 73*b - 281. Give f(-4). -5 Let q(j) = -j**2 + 4*j + 3. What is q(5)? -2 Let j(z) = z**3 - 5*z**2 - 35*z - 11. What is j(9)? -2 Let x(c) = c**2 - 10*c + 17. Calculate x(7). -4 Let l(s) = -s**3 - 6*s**2 + 7*s - 12. Determine l(-7). -12 Let d(v) = v**3 - 20*v**2 + 49*v + 19. Give d(17). -15 Let c(w) = -w**2 - 7*w - 13. Calculate c(-7). -13 Let f(l) = -l**3 + 12*l**2 - 9*l - 16. Calculate f(11). 6 Let f(r) = 27*r + 14. Determine f(-3). -67 Let j(h) = h**3 + 5*h**2 - 5*h + 6. What is j(-6)? 0 Let t(x) = -x**3 - 18*x**2 - 21*x - 57. What is t(-17)? 11 Let t(b) = -4*b - 23. Calculate t(-7). 5 Let y(w) = -2*w - 20. Determine y(7). -34 Let a(b) = b**3 - 18*b**2 - 34*b - 42. What is a(20)? 78 Let y(w) = w**3 + 5*w**2 - 6*w + 5. Give y(-6). 5 Let d(w) = w + 2. Give d(7). 9 Let k(s) = -20*s**3 + s**2 + s - 1. Determine k(1). -19 Let j(o) = -o**2 - 7*o + 5. Determine j(-9). -13 Let p(d) = d**3 + 5*d**2 - 5*d + 12. Give p(-7). -51 Let t(g) = 18*g + 23. Give t(3). 77 Let y(g) = -g + 3. Determine y(-9). 12 Let q(d) = 2*d**3 - 4*d - 2. Calculate q(3). 40 Let i(k) = k**3 + k**2 - 12*k + 4. Calculate i(4). 36 Let k(p) = p**2 + 5*p - 8. Calculate k(-7). 6 Let w(u) = -u**3 + 21*u**2 + 2. Give w(21). 2 Let x(v) = 8*v + 80. What is x(-8)? 16 Let n(c) = -c**2 + 2. Determine n(6). -34 Let h(l) = 10*l - 6. What is h(3)? 24 Let o(y) = -y**3 + y**2 - 3*y + 15. Calculate o(0). 15 Let v(n) = -n**3 - 23*n**2 + 81*n + 63. Calculate v(-26). -15 Let w(o) = -2*o**3 + o**2 - 2*o. Give w(1). -3 Let p(g) = -22*g. Calculate p(-1). 22 Let g(f) = 21*f + 165. Calculate g(-10). -45 Let j(s) = s**2 + s - 27. What is j(0)? -27 Let u(m) = 11*m + 35. Give u(-3). 2 Let c(m) = -3*m - 16. Give c(12). -52 Let g(r) = 2*r**3 + 5*r**2 + 3*r + 4. Give g(-3).
{ "pile_set_name": "DM Mathematics" }
)/7 Factor 2*n**2/13 + 964*n/13 + 16704/13. 2*(n + 18)*(n + 464)/13 Factor 3*w**2 + 69675*w + 487578. 3*(w + 7)*(w + 23218) Find r such that 4*r**4/7 - 724*r**3 + 1722052*r**2/7 - 10349868*r - 10596600 = 0. -1, 50, 609 Let 4*u**2 - 3152*u - 19056 = 0. Calculate u. -6, 794 Determine m, given that 2*m**5/9 - 260*m**4/3 - 15292*m**3/9 - 11288*m**2 - 268534*m/9 - 80164/3 = 0. -7, -3, -2, 409 Determine o so that 2*o**4/7 + 468*o**3/7 + 14634*o**2/7 - 1674216*o/7 - 5141880/7 = 0. -138, -3, 45 Factor -z**3 + 4043*z**2 + 4044*z. -z*(z - 4044)*(z + 1) Solve -2*l**2/3 - 3192*l + 67130/3 = 0 for l. -4795, 7 Find g such that 2*g**4/11 - 944*g**3/11 + 124140*g**2/11 - 2903056*g/11 - 3028142/11 = 0. -1, 31, 221 Factor 2*h**2/9 - 27940*h/9 + 34122. 2*(h - 13959)*(h - 11)/9 Find h, given that -3*h**2 + 631470*h - 33229530075 = 0. 105245 What is k in 2*k**3/9 - 614*k**2/9 - 1868*k/9 + 2480/9 = 0? -4, 1, 310 Solve 8*c**5 - 1124*c**4 - 580*c**3 + 2244*c**2 + 1692*c = 0 for c. -1, 0, 3/2, 141 Factor -11636*v**2 + 23260*v + 24. -4*(v - 2)*(2909*v + 3) Factor -3*y**2 + 9516*y - 85401. -3*(y - 3163)*(y - 9) Factor 2*s**3/5 + 2008*s**2 + 12570026*s/5 - 75782028/5. 2*(s - 6)*(s + 2513)**2/5 Find b, given that -2*b**2/5 - 7342*b/5 - 1468 = 0. -3670, -1 Suppose -2*c**5/7 - 204*c**4/7 + 600*c**3 - 14288*c**2/7 + 1920*c = 0. Calculate c. -120, 0, 2, 14 Let -2*j**5 + 8*j**4 - 28*j**2 + 34*j - 12 = 0. What is j? -2, 1, 3 What is q in -5*q**4 - 260*q**3 - 3610*q**2 - 6460*q - 3105 = 0? -27, -23, -1 Find y, given that -y**2/5 + 8*y - 204/5 = 0. 6, 34 Let -4955*j**2 - 29750*j - 120 = 0. What is j? -6, -4/991 Factor -3*x**4/7 + 48*x**3/7 + 8580*x**2/7 + 137904*x/7. -3*x*(x - 68)*(x + 26)**2/7 Let 3*w**2/5 - 417*w/5 - 8478/5 = 0. What is w? -18, 157 Suppose 18*f**5 - 52*f**4 - 670*f**3 - 672*f**2 + 1152*f = 0. What is f? -3, 0, 8/9, 8 Suppose 125*t**4 + 15850*t**3 + 547745*t**2 + 2872020*t + 4104180 = 0. What is t? -302/5, -3 Factor 31205*v**3 - 10157030*v**2 - 5148800*v - 652000. 5*(v - 326)*(79*v + 20)**2 Determine q, given that -q**3/4 - 3899*q**2/4 - 3328515*q/4 + 947241783/4 = 0. -2061, 223 Factor -2*v**3 + 539104*v**2 - 36329140352*v. -2*v*(v - 134776)**2 Find j such that -5*j**2 + 145*j + 21060 = 0. -52, 81 Determine o, given that -o**4/8 - 7*o**3 + 59*o**2/2 - 30*o = 0. -60, 0, 2 Factor 3*y**5 + 21*y**4 + 12*y**3 - 36*y**2. 3*y**2*(y - 1)*(y + 2)*(y + 6) Factor -a**3/4 - 11655*a**2 - 543309477*a/4 + 543402721/2. -(a - 2)*(a + 23311)**2/4 Factor 576548307*q**2/8 - 41589*q/2 + 3/2. 3*(13863*q - 2)**2/8 Factor -o**2/5 + 111*o/5 + 116. -(o - 116)*(o + 5)/5 Let 2*r**4/9 + 770*r**3/9 - 5456*r**2/9 + 12520*r/9 - 3136/3 = 0. Calculate r. -392, 2, 3 Find l such that 5*l**4/2 - 133*l**3 + 4777*l**2/2 - 15314*l + 15162 = 0. 6/5, 14, 19 Let -380*s**5 - 20525*s**4 - 82730*s**3 + 5812915*s**2 - 5634140*s - 75140 = 0. Calculate s. -34, -1/76, 1, 13 Determine s so that 3*s**5 - 141*s**4 - 3387*s**3 + 185325*s**2 + 945000*s - 60750000 = 0. -25, 25, 36 Let z**3/9 + 12*z**2 - 8161*z/9 - 2756/3 = 0. What is z? -159, -1, 52 Factor v**2 + 1332*v - 10720. (v - 8)*(v + 1340) Factor y**2 - 203*y - 18090. (y - 270)*(y + 67) What is n in 227*n**5/2 - 453*n**4/2 - n**3 = 0? -1/227, 0, 2 Solve -2*y**3 + 1408*y**2 - 249210*y + 492804 = 0. 2, 351 Suppose -n**5/4 + 51*n**4/2 - 2097*n**3/4 - 1126*n**2 - 576*n = 0. What is n? -1, 0, 32, 72 Factor 10*t**2/7 + 28988*t - 81168/7. 2*(t + 20292)*(5*t - 2)/7 Factor 4*y**3 - 17300*y**2 - 69252*y - 51948. 4*(y - 4329)*(y + 1)*(y + 3) Let k**2/3 + 434*k - 1303/3 = 0. What is k? -1303, 1 Factor -5*f**2/3 - 5165*f/3 + 755950/3. -5*(f - 130)*(f + 1163)/3 Factor -129*d**2/2 + 255*d/2 + 3. -3*(d - 2)*(43*d + 1)/2 Solve z**3/10 + 8679*z**2/10 + 17343*z/2 + 43345/2 = 0 for z. -8669, -5 Find n, given that -n**3/4 + 405*n**2/4 - 12753*n/2 = 0. 0, 78, 327 Factor -3*z**3/4 - 18*z**2 + 47385*z/4 - 975975/2. -3*(z - 65)**2*(z + 154)/4 Factor -c**2/7 + 2704*c - 12795328. -(c - 9464)**2/7 Find u, given that 3*u**2 + 26796*u - 617895 = 0. -8955, 23 Find m such that 3*m**4 - 23262*m**3 = 0. 0, 7754 Factor 5*u**3 - 100815*u**2 + 508334400*u - 1524096000. 5*(u - 10080)**2*(u - 3) What is r in -475*r**2 + 3805*r - 40 = 0? 1/95, 8 Factor 24*w**3 + 2884*w**2 + 252*w - 27360. 4*(w - 3)*(w + 120)*(6*w + 19) Suppose -3*q**4/7 + 105921*q**3/7 - 211830*q**2/7 = 0. Calculate q. 0, 2, 35305 Factor 3*y**2 - 47823*y + 47820. 3*(y - 15940)*(y - 1) Let -p**3 - 294*p**2 + 37791*p - 1029996 = 0. Calculate p. -396, 51 Factor -o**3 + 4159*o**2 - 4066239*o - 544463199. -(o - 2139)**2*(o + 119) Determine k, given that 3*k**3/7 - 114*k**2/7 - 645*k/7 = 0. -5, 0, 43 Solve 3174*a**5/5 + 4751202*a**4/5 - 413166*a**3/5 + 8982*a**2/5 = 0. -1497, 0, 1/23 What is f in 5*f**3 + 1560*f**2 + 141705*f + 2982150 = 0? -141, -30 Factor -4*b**3 + 144*b**2 - 1100*b. -4*b*(b - 25)*(b - 11) Suppose 15*u**4/2 + 2559*u**3/2 - 17061*u**2/2 - 12171*u/2 + 3717 = 0. Calculate u. -177, -1, 2/5, 7 Let -8*h**4 + 7188*h**3 - 1594632*h**2 - 9011072*h + 4903296 = 0. What is h? -6, 1/2, 452 Determine q so that 5*q**3/2 + 1315*q**2 + 168910*q - 1061340 = 0. -266, 6 Suppose 4*q**2 - 194071*q/2 + 363855/2 = 0. What is q? 15/8, 24257 Suppose m**3/9 + 154*m**2/9 - 376*m + 1856 = 0. Calculate m. -174, 8, 12 Solve -2*m**4 - 62*m**3 + 888*m**2 - 1512*m = 0 for m. -42, 0, 2, 9 Let 2*u**4/17 + 49724*u**3/17 + 309158954*u**2/17 + 1236039192*u/17 + 1235840328/17 = 0. Calculate u. -12429, -2 Factor 14*g**4/11 - 10*g**3/11 - 24*g**2/11. 2*g**2*(g + 1)*(7*g - 12)/11 Let -10*p**5/13 - 6154*p**4/13 - 26900*p**3/13 - 752*p**2 = 0. Calculate p. -611, -4, -2/5, 0 Determine q, given that 4489*q**5/2 + 500490*q**4 + 3926469*q**3/8 - 59273*q**2/8 + 111*q/4 = 0. -222, -1, 0, 1/134 Solve -9*s**5 + 6135*s**4 - 28359*s**3 - 51111*s**2 + 227652*s - 121860 = 0. -3, 2/3, 2, 5, 677 Let 3*o**3 + 300*o**2 - 1593*o - 1890 = 0. Calculate o. -105, -1, 6 Let 287*f**4 + 418*f**3 + 145*f**2 + 14*f = 0. What is f? -1, -2/7, -7/41, 0 Factor -2*d**2 + 99482*d - 99480. -2*(d - 49740)*(d - 1) Factor i**2/8 + 733*i - 11760. (i - 16)*(i + 5880)/8 Solve -4*q**2 + 752*q + 1520 = 0. -2, 190 Solve -2*k**5 - 39*k**4/2 + 31*k**3 + 75*k**2/2 - 11*k = 0 for k. -11, -1, 0, 1/4, 2 Factor -5*f**2 + 20349*f - 117856. -(f - 4064)*(5*f - 29) Factor -4*d**5 - 13352*d**4 - 13349*d**3 - 3337*d**2. -d**2*(d + 3337)*(2*d + 1)**2 Suppose -13*m**3/10 + 1392*m**2/5 - 214*m/5 = 0. Calculate m. 0, 2/13, 214 Suppose -2*y**2/7 + 2348432*y/7 - 689391607328/7 = 0. Calculate y. 587108 Factor 2*p**4 - 874*p**3 + 58782*p**2 + 184266*p. 2*p*(p - 353)*(p - 87)*(p + 3) Suppose -2*a**5 - 3590*a**4 - 1709270*a**3 - 87508130*a**2 - 618936560*a - 1184092448 = 0. What is a? -869, -49, -4 Solve 2*z**5 + 506*z**4 + 2978*z**3 + 3446*z**2 - 2980*z - 3952 = 0 for z. -247, -4, -2, -1, 1 What is q in 8*q**3/7 + 1090*q**2/7 + 8394*q/7 - 6912/7 = 0? -128, -9, 3/4 Find w, given that -3*w**3/4 + 45645*w**2/4 - 43399836*w - 43411248 = 0. -1, 7608 Solve -3*v**3/2 - 9648*v**2 + 658665*v/2 - 2803011 = 0. -6466, 17 What is d in -d**2 - 17988*d - 80892036 = 0? -8994 Find v, given that 2*v**5/13 - 14*v**4/13 - 68*v**3/13 + 56*v**2/13 + 240*v/13 = 0. -3, -2, 0, 2, 10 Factor -4*h**2 + 268048*h + 268052. -4*(h - 67013)*(h + 1) Determine w, given that 2*w**2 + 2462*w - 14844 = 0. -1237, 6 Factor -3*o**3/8 - 2349*o**2/4. -3*o**2*(o + 1566)/8 Find l, given that l**4/2 + 82*l**3 - 27501*l**2/2 + 417368*l + 431200 = 0. -275, -1, 56 Determine t so that 65*t**3 - 1005*t**2 + 2560*t + 1680 = 0. -7/13, 4, 12 What is y in -4*y**2/5 + 73792*y/5 - 340328704/5 = 0? 9224 Factor 10*p**2/7 - 149326*p/7 - 59732/7. 2*(p - 14933)*(5*p + 2)/7 Determine h, given that h**2 + 11456*h + 32809984 = 0. -5728 Suppose u**4/4 + 543*u**3/2 + 321733*u**2/4 + 3649503*u + 45171841 = 0. What is u? -517, -26 Factor -5*m**3 + 1870*m**2 + 76475*m + 743660. -5*(m - 412)*(m + 19)**2 Suppose -m**3 + 11981*m**2 = 0. Calculate m. 0, 11981 Factor 2*o**2 - 5008464*o + 3135588954912. 2*(o - 1252116)**2 Let 5*z**2 - 3363190*z + 565552348805 = 0. Calculate z. 336319 Let -5*w**3 - 1225*w**2 + 3720*w = 0. What is w? -248, 0, 3 Factor b**2 - 211982*b + 11234092081. (b - 105991)**2 Solve 4*y**2 + 10496*y + 259900 = 0 for y. -2599, -25 Factor -b**4/4 - 1361*b**3/4 + 681*b**2/2. -b**
{ "pile_set_name": "DM Mathematics" }
divided by x? 4 Suppose 4*z + 20 = 0, -t - 4*z - 81 = -2*z. Let m = t - -102. What is the remainder when m is divided by 17? 14 Suppose -q + 0 = -4. Calculate the remainder when 54 is divided by q. 2 Let s(j) = j**3 - 6*j**2 + 7*j - 5. Calculate the remainder when s(5) is divided by 3. 2 Let d(c) = -12*c + 2. What is the remainder when d(-2) is divided by (-26)/(-4) - 40/(-16)? 8 Let r(y) = -y**2 + y - 3. Let o be r(-6). Let x = -6 - o. Let i(w) = w**2 - 3*w - 4. What is the remainder when x is divided by i(6)? 11 Let o(l) = -l**3 + 7*l**2 - 5*l + 2. Calculate the remainder when 44 is divided by o(3). 21 Let i(f) = 46*f + 1. Let g be i(1). Let c = 8 - 6. What is the remainder when 3/3 + c + g is divided by 17? 16 Suppose -8 = 2*v - 3*v. Let l = v + 11. Suppose 2*n - 116 = 2*y, -2*n - 2*n + 211 = 3*y. What is the remainder when n is divided by l? 17 Let t be -3*(-4)/(-6) + 2. Suppose -2*v + 20 = 4*i, t*i - i - 2*v + 11 = 0. Suppose 0*l = -2*l + 16. Calculate the remainder when l is divided by i. 2 Let h be 18/(-15)*(-5)/2. Suppose -h*u + 6*u - 9 = 0. Suppose 0 = -2*z + 5*w - 9, -w + 0 = u*z - 29. What is the remainder when 22 is divided by z? 6 Let a(g) = -g + 4. Let d be a(0). Let b be d/18 + (-43)/(-9). Suppose 4*j + 4*t - 1 - 163 = 0, b*j = 4*t + 178. Calculate the remainder when j is divided by 13. 12 Let v(z) = -z**2 - 3*z + 8. Let q be v(-4). Suppose -5*p - 4*d = -203, -212 = -9*p + q*p - d. What is the remainder when p is divided by 11? 10 Let a(y) = 11*y**2 + 5*y + 2. Let m be a(-4). Let o = -34 + m. Suppose 4*p = -4*c + o, -4*p = 2*c + c - 125. Calculate the remainder when p is divided by 17. 15 Suppose 3*o = -o + 52. Let w = -96 - -121. What is the remainder when w is divided by o? 12 Let g be (5/(-1))/(6 + -7). Suppose -g*b + 80 = -15. Calculate the remainder when b is divided by 7. 5 Suppose 13 = f - 2*n, 2*f + 3*n - 30 = -f. Calculate the remainder when 16 is divided by f. 5 Suppose -231 + 45 = -3*g + 3*j, -2*j = 6. What is the remainder when g is divided by 30? 29 Suppose -7 - 5 = -3*s. What is the remainder when 15 is divided by (-4)/(-3)*12/s? 3 Let c be 31 + 1 + 2 + -3. Suppose c = 5*j - 114. Suppose 3*u + 5*o = -32 + 102, 3*o + 30 = 3*u. Calculate the remainder when j is divided by u. 14 Suppose 0*b = 2*b - 8. Suppose 0 = -y + b*y - 30. What is the remainder when 17 is divided by y? 7 Suppose 2*y - 1 - 7 = 0. Suppose 63 = 5*g + y*n - 3*n, -3*g + 37 = n. Calculate the remainder when 25 is divided by g. 12 Let c(m) = m**2 + 2*m. Let h be c(-2). Suppose h = -3*v + 6 + 6. What is the remainder when 10 is divided by v? 2 Calculate the remainder when 34 is divided by ((-60)/35)/((-6)/63). 16 Let s = 35 + -50. Let p = -1 - s. What is the remainder when p is divided by (-2*1)/((-1)/2)? 2 Let s = 14 + 0. What is the remainder when 38 is divided by s? 10 Suppose -5*o + 184 + 496 = 0. Calculate the remainder when o is divided by 23. 21 Let b(u) = -10*u - 8. What is the remainder when 45 is divided by b(-2)? 9 Let o(r) = -r**3 + 6*r**2 + 7. Calculate the remainder when o(5) is divided by 17. 15 Suppose 5*g = 2*g + 15. Let q(l) = 2 - 4*l + l**2 - 3 + 2. What is the remainder when q(g) is divided by 4? 2 Suppose 3*d - 20 = 7. What is the remainder when d is divided by 16/4 + 2/2 + -1? 1 Suppose -v + 5*o = 8, v = 4*o + 1 - 7. Suppose 0 = v*i + 3*i - 60. What is the remainder when 46 is divided by i? 10 Let r(z) = 2*z**2 + z - 2. Let m be r(-2). Suppose 4 + m = h. Suppose -17 = -3*c - 2. Calculate the remainder when h is divided by c. 3 Suppose -5*r = -66 - 74. Suppose -p + 2*p + 3*c - 14 = 0, 2*p - c - r = 0. What is the remainder when 41 is divided by p? 13 Let h be (-336)/3*(-2)/4. Suppose q - h = -3*q. What is the remainder when ((0 - -1) + -3)*-13 is divided by q? 12 Let t(j) = -j**3 - 5*j**2 + 8*j + 5. Suppose -4*y + 36 = -0*y. Calculate the remainder when t(-7) is divided by (y - 1)*3/2. 11 What is the remainder when 25 is divided by ((-5)/(-15))/(1/21)? 4 Let l(y) = 2*y - 7. Let d = 27 - 3. Let u = 37 - d. What is the remainder when u is divided by l(6)? 3 Let s(u) = -u**2 + 12*u + 3. Suppose 3*k = -1 + 7. Calculate the remainder when k/1*(-8)/(-2) is divided by s(12). 2 Let n(w) = w**3 - 5*w**2 - 5*w - 1. Let x = 23 - 11. What is the remainder when x is divided by n(6)? 2 Let q(i) = 2*i**2 - 21*i + 9. Let m = 19 + -7. Calculate the remainder when q(12) is divided by m. 9 Let v(u) = u + 0*u**3 + 0*u**3 - 3*u**3. Let q be v(-1). Suppose q*s = -s + 21. Calculate the remainder when 19 is divided by s. 5 Suppose -3*g - 350 = 2*g. Let v = 184 + g. Suppose 0 = -4*f - 3*h + h + v, -4*h - 120 = -4*f. Calculate the remainder when f is divided by 10. 9 Let d = 7 - 3. Suppose 2*i + 106 = 5*s, 20 + 66 = d*s - i. Calculate the remainder when s is divided by 12. 10 What is the remainder when (-19)/(-3)*(-1 - -7) is divided by (10/3)/(2/24*2)? 18 Suppose 3*n + 164 = 5*v, 2*v = 5*n + 99 - 22. Calculate the remainder when 46 is divided by v. 15 Let v(f) = -f**3 - 3*f**2 + 5*f - 3. Let w be v(3). Let c be 4*2*w/8. What is the remainder when 62 is divided by (-1 + -4)*c/10? 20 Suppose -4*x = -3*x - 4. Calculate the remainder when 15 is divided by x. 3 Calculate the remainder when 4176/56 + 6/14 is divided by 20. 15 Let t(v) = 2*v**2 + 7*v + 1. Suppose 0 = -2*q + 5*q + 4*m - 113, 0 = -q + 3*m + 16. What is the remainder when q is divided by t(-5)? 15 Let y = 75 - 47. What is the remainder when 138 is divided by y? 26 Suppose -5*l = 2*z - 53, -2*z + 35 = -0*l + 3*l. Suppose 4*d - l = -3*q, -3*q + 3*d - 6*d = -9. What is the remainder when 11 is divided by q? 2 Let y(z) = -z**2 - 11*z + 6. Calculate the remainder when 61 is divided by y(-10). 13 Let l(k) = -k**3 + 7*k**2 - 5*k + 7. Suppose -4*g + 164 = -4*s, 0 = -g - 4*s - 3 + 29. Calculate the remainder when g is divided by l(6). 12 Let w = -2 + 4. Let o = -155 - -156. What is the remainder when w is divided by o? 0 Let k(l) = l**3 - 7*l**2 + 7*l - 3. Let r be k(6). Suppose 2*j = 3*a + 3*j - 122, 0 = 2*a - r*j - 96. What is the remainder when a is divided by 11? 9 Suppose 5*f - 47 = 53. Calculate the remainder when 59 is divided by f. 19 Suppose 9*n - 2 = 7*n. Let r(o) = o**2 + 5*o + 1. What is the remainder when n is divided by r(-5)? 0 Suppose -3*p + 14 = -4*y, 4*p + 4*y + 1 = 29. What is the remainder when 28 is divided by p? 4 Suppose -3*z + 0 = -3, 4*z = -s + 15. What is the remainder when 32 is divided by s? 10 Let z(n) = n**3 + 4*n**2 - 6*n. Let x be z(-5). Suppose -3*t = -x*p - 62 - 9, 3*p + 12 = 0. What is the remainder when 32 is divided by t? 15 Suppose -2*y - 2*y = -104. What is the remainder when 77 is divided by y? 25 Suppose f - 17 = -3*x, 0 = 4*f - 5*x + 2*x - 38. What is the remainder when 54 is divided by f? 10 Let g = 57 + -95. Calculate the remainder when g*((-12)/(-8) + -2) is divided by 10. 9 Let r(j) = -j**2 + 24*j - 9. Suppose 3*l - 12 - 12 = -4*f, 4*f = 2*l - 16. What is the remainder when r(23) is divided by l? 6 Let g = -4 + 47. Suppose 6*b - 50 - 40 = 0. What is the remainder when g is divided by b? 13 Let h(l) = -l + 5. Let v be h(6). Let o(i) = -3*i + 1. Let g be o(v). Let p(a) = 3*a**2 - 6*a + 1. What is the remainder when p(g) is divided by 9? 7 Let q = 213 + -67. Suppose 0 = -0*n + 2*n - q. Calculate the remainder when n is divided by 19. 16 Let o be (1 + -1)/(2/2). Calculate the remainder when -2 - o - 196/(-4) is divided by 24. 23 Let s(w) = 8*w**3 - 2*w**2 + w. Let g be s(1). Let o(k) = k**3 - 8*k**2 + 9*k - 8. Calculate the remainder when 15 is divided by o(g). 3 Suppose -u = -10 + 2. Suppose -4*a = -k + a - u, -3*k + 3*a = -36. What is the remainder when k is divided by 9? 8 Suppose -6 = -2*f - 5*i, 4*f - i = -0*i + 34. Let y = -8 + 13. What is the remainder when f is divided by y? 3 Suppose -x - 77 = -4*c, -3*c - 3*x + 4*x + 58 = 0. Suppose 4*a + 2*h = -h + 153, a - 3*h = 27. What is the remainder when a is divided by c? 17 Calculate the remainder when 82 is divided by (-3 + -6 + 30)*(-2)/(-2). 19 Suppose 2*z = 2*n + 28 - 2, -n + 47 = 5*z. What is the remainder when 15 is divided by z? 5 What is the remainder when 48 is divided by -3 + (-177)/(-9) - 3/(-9)? 14 Let o = 192 + -63. Calculate the remainder when o is divided by 22. 19 Let k(p) = -p**2 + 11*p - 13. Ca
{ "pile_set_name": "DM Mathematics" }
f 7*n - 13 - d*n**2. Differentiate m(t) wrt t. -9 Let a(y) = -48*y - 51. Let w(x) = -51 - 344*x + 247*x - 52. Let r(m) = -7*a(m) + 4*w(m). What is the first derivative of r(l) wrt l? -52 Let p(s) be the second derivative of -7*s**3/2 - 27*s**2/2 - 134*s. Let m(w) = 9*w + 14. Let t(l) = -7*m(l) - 4*p(l). Differentiate t(i) wrt i. 21 Let f(u) = -925*u**3 + 4*u - 153. Let p(z) = -1848*z**3 + 9*z - 307. Let j(o) = -9*f(o) + 4*p(o). What is the derivative of j(x) wrt x? 2799*x**2 Let b(d) be the first derivative of 0*d + 87 + 0*d**4 + 0*d**2 - 8/5*d**5 - 40/3*d**3. Find the third derivative of b(t) wrt t. -192*t Let i(z) = -4*z**2 + 3*z + 20 - 25 + 6*z + 17 - z**3. Let w be i(-6). What is the third derivative of t**2 + 13*t**6 - 2*t**6 + w*t**6 wrt t? 4920*t**3 Let i(k) be the first derivative of 0*k**2 - 21 - 151/3*k**3 - 164*k. Differentiate i(w) with respect to w. -302*w Let m(j) = -19*j**3 - 48*j + 69. Let d(s) = -s + 1. Let r(o) = -4*d(o) + m(o). Let t(i) be the first derivative of r(i). What is the derivative of t(g) wrt g? -114*g Let n(i) be the first derivative of 7*i**3/3 + 25*i**2 - 5201*i + 376. Find the first derivative of n(y) wrt y. 14*y + 50 What is the third derivative of b + 17992 + 112*b**6 - 50*b**5 - 3*b - 18003 - b**2 + 16*b**5 wrt b? 13440*b**3 - 2040*b**2 Let i(o) be the first derivative of 1625*o**4/4 + 2021*o**2/2 + 1693. What is the second derivative of i(x) wrt x? 9750*x Let f be (9 - 15)*(-5)/6. Let y = 10 - 8. What is the second derivative of -6*p - 7*p**y - 10*p**2 + 2*p**f + 17*p**2 wrt p? 40*p**3 Let k(n) be the third derivative of 667*n**8/168 + 11*n**4/24 + 53*n**3/6 - 1541*n**2. What is the second derivative of k(u) wrt u? 26680*u**3 Suppose 0 = -7*f + 2*f + 35. Suppose 5*v - 113 = f. What is the derivative of 26*q**4 + v*q**4 - 52*q**4 + 12 wrt q? -8*q**3 Let g = -31 + 175. Differentiate -495*n + 86*n**4 - g + 495*n with respect to n. 344*n**3 Let z(j) = j**3 + j + 4. Let f(m) = -534*m**3 + 1240*m**2 - 6*m - 24. Let d(r) = f(r) + 6*z(r). Find the third derivative of d(n) wrt n. -3168 Differentiate -5*v + 811*v**3 - 810*v**3 - 42*v**2 + 2219 + 5*v with respect to v. 3*v**2 - 84*v Let p = 645 + -643. Differentiate -14 + 706*v - 90*v**p - 706*v wrt v. -180*v Let l(n) be the second derivative of 0*n**3 - 17/30*n**6 - 27 + 2*n - 65/2*n**2 + 0*n**4 + 0*n**5. Differentiate l(i) wrt i. -68*i**3 Find the second derivative of 690*m**2 - 5*m + 10*m + 241 - 13*m + 1491*m**2 - 240 wrt m. 4362 Let p be (1035/(-10) + 0)*(-2)/3. Suppose 54 + p = 3*h. Find the second derivative of 7*n + 40*n**3 + h*n**3 - 81*n**3 + 14*n**5 wrt n. 280*n**3 Let y(a) be the second derivative of -2499*a**5/10 - 7*a**4/12 - a**3/6 + 27*a**2/2 + 1139*a + 2. What is the third derivative of y(u) wrt u? -29988 Let q(w) = -137*w**3 + 8*w**2 + 17. Let k(g) = -137*g**3 + 5*g**2 + 17. Let f = 584 - 588. Let h(m) = f*k(m) + 3*q(m). Find the third derivative of h(z) wrt z. 822 Let y(r) = -2893*r**2 - 2458*r + 10. Let u(c) = -2889*c**2 - 2462*c + 12. Let x(w) = -5*u(w) + 6*y(w). What is the second derivative of x(m) wrt m? -5826 Let m(v) = 2*v**2 + 3*v - 4. Let y(p) = -83*p**2 - 59*p + 4397. Let u(g) = -5*m(g) - y(g). What is the derivative of u(d) wrt d? 146*d + 44 Suppose -61 + 93 = 16*y. Let u(z) be the second derivative of 7/3*z**3 + 7*z**y - 7*z + 0. What is the derivative of u(k) wrt k? 14 What is the third derivative of -112*h**3 + 2760*h**4 + 231*h**3 + h**2 - 120*h**3 - 632*h**4 + 26 + 29*h + 338*h**4 wrt h? 59184*h - 6 Let d = 45 - 43. Let j be 6*d - (5 + (-5 - 1)). Differentiate -24*i**4 - 10 - 10 + j wrt i. -96*i**3 Let i be (14/(-5))/((-67)/1005). Find the third derivative of -i*f**2 + 173*f**5 - 295*f**5 + 12*f**2 wrt f. -7320*f**2 Let g(b) = 2863*b**3 - 1207*b**2 - 14*b - 7. Let y(j) = 1909*j**3 - 802*j**2 - 10*j - 5. Let s(u) = 5*g(u) - 7*y(u). What is the third derivative of s(l) wrt l? 5712 Suppose 2*r - 536 = 4*d, 5*r = -d + 5*d + 1340. What is the second derivative of -9 + 17 - r*i - 67*i**2 + 182*i**2 - 8 wrt i? 230 Let k(z) be the second derivative of 7*z**6/15 + 2*z**5/5 + 271*z**2/2 + z + 100. Find the first derivative of k(b) wrt b. 56*b**3 + 24*b**2 What is the first derivative of 830 + 9901*s + 2879 + 4065 + 765 + 401 wrt s? 9901 Let k(b) = 3*b - 8. Let n be k(4). Suppose 6*f = f + 4*c + 65, 0 = -n*c - 20. What is the second derivative of -10*z + 11*z**5 + f*z**5 - 26*z**5 wrt z? -120*z**3 Let a(c) = 3668*c**3 + 7*c**2 - 2434*c + 11. Let n(i) = 917*i**3 + 2*i**2 - 609*i + 3. Let s(v) = 3*a(v) - 11*n(v). Find the second derivative of s(u) wrt u. 5502*u - 2 What is the third derivative of -1248*r**6 + 636*r**6 - 2823*r**2 + 8*r**5 + 629*r**6 wrt r? 2040*r**3 + 480*r**2 Let t(l) be the first derivative of 0*l**2 + 17/4*l**4 - 123*l + 8/3*l**3 - 93. Find the first derivative of t(z) wrt z. 51*z**2 + 16*z Let f(v) = -7235*v**4 - 10*v**2 - 10*v - 10221. Let g(j) = -3620*j**4 - 6*j**2 - 6*j - 5111. Let d(q) = 3*f(q) - 5*g(q). What is the derivative of d(u) wrt u? -14420*u**3 Let g = 4244 - 4242. Let t(j) be the second derivative of 0*j**3 + 0*j**4 + 0 + 3*j**g - 2/5*j**5 + 5*j. What is the derivative of t(k) wrt k? -24*k**2 Let t(j) be the first derivative of -1276*j**5/5 + 598*j**2 - 644. What is the second derivative of t(q) wrt q? -15312*q**2 Let c(s) = -2549*s**2 + 10563. Let w(r) = 848*r**2 - 3521. Let a(t) = -6*c(t) - 17*w(t). Find the first derivative of a(p) wrt p. 1756*p Let n(s) be the first derivative of 23*s**4/2 - 5*s**3/3 + 444*s**2 - 850. What is the second derivative of n(h) wrt h? 276*h - 10 Find the second derivative of -7194*i - 3*i**3 - 106*i**2 + 147*i**2 - 106*i**2 + 934*i**2 wrt i. -18*i + 1738 Let d(p) = 25*p**2 - 50*p + 1513. Let v(r) = 12*r**2 - 28*r + 757. Let w(n) = 4*d(n) - 7*v(n). Differentiate w(g) with respect to g. 32*g - 4 Let v(f) be the third derivative of 0*f + 1/4*f**4 + 0 + 1/120*f**6 + 0*f**5 - 13*f**2 + 43/210*f**7 + 0*f**3. What is the second derivative of v(g) wrt g? 516*g**2 + 6*g Let m(a) be the first derivative of 81*a - 830*a**3 + 427*a**3 + 16 + 436*a**3 + 3. Differentiate m(o) with respect to o. 198*o What is the second derivative of 28*s**4 + 3*s + 30*s**2 + 119 + 39*s**4 - 121*s**4 + 59*s**4 wrt s? 60*s**2 + 60 What is the second derivative of 103*m + 536 - 177*m - 535 - m**2 - 4*m**2 - 462*m**5 wrt m? -9240*m**3 - 10 Let i(m) be the first derivative of -720*m**7/7 - 1441*m**3/3 - 4432. What is the third derivative of i(d) wrt d? -86400*d**3 Let f(s) = -3*s**3 - s - 4. Let h(q) = -457*q**3 + q**2 + 4*q - 612. Let j(i) = 4*f(i) + h(i). Differentiate j(b) with respect to b. -1407*b**2 + 2*b Differentiate -94*o**3 + 29*o**2 + 4798 - 17*o**3 + o + 105*o**3 wrt o. -18*o**2 + 58*o + 1 Let p(s) be the second derivative of -585*s**4/2 + s**3/3 - 4*s**2 - 4274*s. What is the second derivative of p(u) wrt u? -7020 Let f(t) be the third derivative of -t**7/210 - 53*t**6/40 - 1123*t**3/6 + 2*t**2 + 555*t. Find the first derivative of f(v) wrt v. -4*v**3 - 477*v**2 Let z(g) = 1. Let o(v) = -30*v**2 + 12 - 7*v**2 + 30*v**2. Suppose -4*n = -0 - 4. Let s(m) = n*o(m) - 3*z(m). What is the derivative of s(d) wrt d? -14*d Suppose -3*i + 16 = 5*i. Find the third derivative of 6739*h**4 - 6739*h**4 - 63*h**i + 25*h**5 wrt h. 1500*h**2 Let h(c) = -18*c**2 - 3*c + 87. Let f(w) = -28*w**2 + 17 + 6 - 5*w + 119 - 12. Let q(u) = 5*f(u) - 8*h(u). Differentiate q(y) wrt y. 8*y - 1 Let w(z) be the second derivative of -1611*z**5/5 + 639*z**4/2 + 1081*z - 1. Find the third derivative of w(x) wrt x. -38664 Find the second derivative of -626 + a + 7189 + 2140*a**2 + 952 wrt a. 4280 Let m(u) be the third derivative of -u**7/70 - 1079*u**5/60 + 2585*u**3/6 - 2*u**2 + 141. What is the first derivative of m(z) wrt z? -12*z**3 - 2158*z Let i(w) = -w - 2. Let n(y) = -59*y - 41. Let h = -83 + 81. Let l(m) = h*i(m) + n(m). Differentiate l(z) with respect to z. -57 Let j(f) be the second derivative of -3707*f**6/30 + 35*f**3/6 + 19*f**2/2 + 3129*f. What is the second derivative of j(l) wrt l? -44484*l**2 Let v = 8 + -7. Suppose -5*c + 14 = -v. What is the second derivative of 7*g**3 + 12*g**4 + 22*g - 6*g**3 - g**c wrt g? 144*g**2 Suppose 9*t = 13 - 49. Let p be 99/27 + (t/6 - 0). What is the second derivative of 10*u**5 - 2*u**
{ "pile_set_name": "DM Mathematics" }
+ -686/9. Which is the nearest to 0? (a) -3 (b) 2/11 (c) r b Suppose -4*m - 5*f + 6 = 0, m + 3 = 2*f - 2. Let o = -1.1 + 1.2. What is the closest to -0.1 in o, 5, m? o Let o = 0.071 + -2.071. Which is the closest to 0.2? (a) -16 (b) -3 (c) o (d) -0.6 d Let r = 19/20 - -3/10. Let t be (0 + (-2)/(-4))*(3 - 3). Let p = 4.04 + -0.04. Which is the closest to t? (a) -2/17 (b) r (c) p a Let q = 2 - 1. Let u = -1867.5 - -1867. Which is the closest to q? (a) 3 (b) u (c) 2/9 c Let t(o) = o**2 - 6*o - 5. Suppose 7*h - 40 = 9. Let v be t(h). Let g = -5.1 - -5. Which is the nearest to g? (a) v (b) -3/4 (c) 4 b Let k = 240 - 242.6. Which is the closest to -1? (a) 5 (b) 1 (c) 1/8 (d) k c Let u(q) = -2*q**2 + 11*q + 7. Let d be u(6). Let h be (-1 - d)*(-3)/(-9). Which is the nearest to 0? (a) -0.2 (b) -2 (c) h a Suppose -13*f - 4*f + 1955 = 0. Let k = f + -346/3. Let x = 1 + -2. Which is the closest to 2? (a) 2/23 (b) k (c) x a Let b = -243 + 243. What is the closest to -1 in b, 2/13, 29? b Suppose 3*r + 9 = -0, 4*y - 2*r = 114. Let i = -17 + y. Let d(l) = -l**3 + 11*l**2 - 9*l - 10. Let f be d(i). Which is the nearest to 0? (a) 1 (b) -0.3 (c) f c Let d = -23.9 - -119.9. Let n = -98 + d. What is the closest to -0.1 in 0.4, 0.3, n? 0.3 Let z = -0.23 + -2.83. Let h = 0.06 + z. What is the closest to 1 in 0.02, h, 0.2? 0.2 Let l = -48 + 142/3. What is the closest to 6 in -2/13, 3, l? 3 Let g = 10987/7 + -1570. Which is the closest to 0.1? (a) g (b) 0.1 (c) -1 b Let y = -78 - -73. Let h = 0.1 - 0. Which is the closest to -2? (a) h (b) y (c) 1/5 a Let z = 67 - 94. Let l = z - -25. Which is the closest to -4/5? (a) 4 (b) l (c) 5 b Let w = -4 + 4.3. Let x(k) = -2*k - 4. Let p be x(-8). Let d = 12 - p. Which is the nearest to d? (a) w (b) -5/6 (c) 0.4 a Let o = -11 + 12.34. Let q = o + -0.34. Which is the nearest to 0.2? (a) -3 (b) -5 (c) q c Let h be (-21)/(-12) + 0 + -2. Let t = -0.06 + -1.14. Let p = t - -3.2. Which is the nearest to p? (a) -1/3 (b) -4 (c) h c Let v = -0.06 + 0.11. Let a = v - -0.15. Let i(b) = -b**3 + 2*b**2 + 18*b - 43. Let l be i(4). What is the closest to a in 1/9, 3/8, l? 1/9 Let j = -5126 + 5149.91. Let a = -24 + j. What is the nearest to a in -5, 4, -0.5? -0.5 Let w = -1254 + 1253. Let l = 5 - 4. What is the closest to -1 in -2/5, w, l? w Let p be ((-576)/(-63) - 9)*-2. What is the nearest to p in -4/7, -5, -3/4, 1.5? -4/7 Let t = 119.7 + -119.6. Let z = 7 - 7.3. Which is the nearest to 3/7? (a) -4 (b) t (c) z b Let f(v) = -2*v**2 - 19*v - 48. Let p be f(-4). What is the nearest to 3 in 1/3, 0, p? 1/3 Let t be (-182)/(-80) + -1 + 4/(-10). Let y = 5/8 - t. Which is the closest to -0.2? (a) y (b) 0 (c) -0.5 a Let p be (-8 + (-237)/(-30))*8. Which is the closest to 0.1? (a) -3/11 (b) p (c) -5 a Let d = 8.466 - 0.166. Let h = d + -4.3. Which is the closest to -1? (a) 0.5 (b) 5 (c) h a Let t = -15.936 + 1.936. Which is the nearest to 2? (a) t (b) 6 (c) 0.1 c Suppose 5*z + 70 = y, 2*z + 5 = 5*y - 0. Which is the nearest to -1/3? (a) -0.5 (b) z (c) 0 a Let j = 53 - 54. Let z = 48 - 47. Suppose 0 = 2*m - 0 - 10. Which is the closest to 0.1? (a) m (b) j (c) z c Let g = 0.497 - 0.137. Let x = g + 0.64. What is the nearest to x in -0.4, 18, 0.3? 0.3 Suppose -308*y - 46 = -285*y. What is the nearest to -1 in 14, y, -0.5? -0.5 Let p = 676 + -680. Which is the closest to -2/7? (a) p (b) 0.02 (c) -5 b Let w = -19/15 - -22/15. Suppose 0*p = -2*p - 24. Which is the closest to p? (a) -1/4 (b) -2/9 (c) w a Let z = -50 - -103/2. Let t be (-12)/40 + 3/6. What is the closest to 1/2 in t, 3/4, z? 3/4 Suppose -7*x + 6*x + 8 = 3*b, 2*x = -4*b + 12. What is the closest to x in -5, 2, -1? 2 Let h be -2 - ((-58)/24 - 4/(-24)). What is the closest to h in 0.5, -8, 4? 0.5 Let l = -46.1 - -45.9. Which is the nearest to l? (a) -0.1 (b) 7 (c) 4 a Let j = -4.1063 - -0.1063. Which is the nearest to 11? (a) 0.1 (b) 5 (c) j b Let g = 83 + -418/5. Let f = -12.5 + 9. Let x = f + 0.5. What is the closest to g in -3/8, x, 1/3? -3/8 Let g = -0.21 - 0.89. Let h = g - -5.1. Let u = h + 1. What is the nearest to 0 in 4, 2/7, u? 2/7 Let g(j) = -j**3 + j**2 + 44*j - 137. Let v be g(4). Which is the closest to 0? (a) v (b) 0.2 (c) 15/7 b Let d = -128 - -126. What is the nearest to 1.1 in 0.5, 0.2, d? 0.5 Let v = 223.1 + -223. Which is the nearest to 3? (a) v (b) 10 (c) 4 c Let a = -75 - -75.5. What is the nearest to a in 2/9, -1/3, -4, 0.7? 0.7 Let d be -2*(-3)/(6/5). Let g(i) = i**2 - 14*i - 13. Let j be (-1)/(64/(-60) + 1). Let h be g(j). What is the closest to -1/4 in h, d, -4/3? -4/3 Let g = -55 + 50. Which is the closest to 1.24? (a) -0.1 (b) g (c) 1/6 c Let g be 379*((-18)/15)/(-6). Let v = 76 - g. Let b = 0.8 + -0.8. What is the closest to v in -1, b, 4? b Let t = -1133 + 2267/2. Which is the nearest to -1/4? (a) 3 (b) t (c) 0 (d) -10 c Let z be (90/27)/(2/6). Let l be 11/(-10) - z/25. Which is the closest to -4/7? (a) 4 (b) l (c) 0.5 b Let p be -2 + (-2 - -2*3). Let q = -1.16 + 1.16. What is the closest to 0 in -1, q, p? q Let f = -2 - -1. Suppose -5*y - 26 = 4*p, -5*y = 3*p - 7*p - 6. Let q = -117/8 - -115/8. What is the nearest to q in y, -5, f? f Let k = -123.2 - -124. Which is the closest to -2? (a) -7 (b) k (c) 0 c Let z = -100 - -100. Let r = 0.3 + -3.3. Let f = -1.02 + 0.02. Which is the nearest to 1? (a) f (b) z (c) r b Let j = -0.109 + 0.009. Let i = -21 - -10. Let c = 10 + i. What is the closest to 1 in -2, c, j? j Let h = 1 - 3. Let q = 47 + -45. Let i = 41 - 37. Which is the nearest to h? (a) i (b) q (c) 4/5 c Let v = 0.1 + 0.1. Let l be -9 - (-6 + 516/(-180)). What is the closest to -2 in -2, l, v? -2 Let t(j) = -15 - 3*j - 60 + 14*j. Let n be t(7). Which is the nearest to 4? (a) 1/6 (b) n (c) 1/4 b Let t be 0 + 1 + -6 + (2 - 2). Let n be 2/(-2) - (-18)/14. Let i = 5/4 - 7/4. Which is the nearest to 0.1? (a) t (b) n (c) i b Let o be 2 - (-5 + (-248)/(-20) - 5). What is the closest to o in -0.06, -2/23, 0.3? -2/23 Let n be -1 + -3 - 430/(-129). Which is the closest to 1? (a) 0.1 (b) 3/8 (c) 2/17 (d) n b Suppose 11*o - 111 = -100. What is the nearest to o in -1/4, 5, 136? -1/4 Suppose 0 = 2*j + 8, -47*j + 44*j - 12 = h. Which is the nearest to 1/4? (a) h (b) -1 (c) -0.08 a Let m = -229 - -235. What is the nearest to 2/7 in m, -0.3, -1/2? -0.3 Let x = -43.8 - -42.8. Which is the nearest to 0.2? (a) -2 (b) x (c) -37 b Let n = -2683 - -8287/3. Let m = 100 - n. Let f = m + -21. Which is the closest to 0.1? (a) -2 (b) -0.2 (c) f b Let u = -1.7 - -1.2. Let x = -137/5 + 27. Which is the nearest to x? (a) u (b) -2 (c) 5 a Let q(v) = v - 6. Let p be q(5). Let h(z) = -3*z + 27. Let w be h(6). Which is the nearest to p? (a) -3 (b) w (c) -5 a Let x = -3.85 + 7.85. Which is the closest to -1? (a) 5 (b) x (c) 2 c Let x = -2124 - -2123. Which is the closest to -0.09? (a) 1 (b) 0.4 (c) -3/7 (d) x c Let v = 9.8 + -10. What is the closest to v in -0.4, -5/9, 5? -0.4 Let s = -113 + 905/8. What is the nearest to -2 in -0.5, s, 0.3? -0.5 Let r = 0.17 + -0.2. Let t = 0.47 - r. Let q = 0.25 + -0.25. Which is the closest to q? (a) 4 (b) 2/15 (c) t b Let i = -0.31 - -0.17. Let t = i + 1.24. Let b = 0.9 - t. What is the nearest to b in 0.2, 0.5, 1? 0.2 Suppose 4*r + 52 = 2*n, 0 = -6*r + 2*r - n - 58. Let j be 4/7 + 4/r. Suppose 7868 - 7829 = -13*y. Which is the closest to 0? (a) j (b) y (c) 0.2 c Let v(q) = q**3 - 16*q**2 + 17*q - 34. Let p be v(15). Let x be (-2)/p + 6/36. Which is the nearest to -13? (a) x (b) -5 (c) 1 b Let i = -8/73 + 202/511. Let d = 0.1 - -0.1. What is the nearest to 2 in 3, d, i? 3 Let c = 0.2 + 0.1. Let p(t) = -17*t + 986. Let w be p(58). What is the closest to w in -4, -0.4, c? c Let a be 1/2*0/(-2). Suppose a = 5*t + b - 25, 5*t - 3*b = -2*b + 15. Suppose c + 3*c = -4*u + t, -5*u + 5 = -3*c. What is the nearest to c in 1, -2/3, 5? -2/3 Suppose 127*q + 310 + 71 = 0. Let a = -285 - -3703/13. What is the closest to a in -5, 5/6, q? 5/6 Let t = -35 + 40. Let u = 0.294 + 0.006. What is the closest to 2/7 in u, t, 2/5? u Suppose -7*z + 1891 = 1884. Which is the closest to 3/7? (a) 3/2 (b) z (c) -5 b Let u be 5/3 + 5/((-585
{ "pile_set_name": "DM Mathematics" }
0 + 0.1. Let o = -417.61 + 415.61. Let g be 2/6 - (-10)/78. Which is the third smallest value? (a) o (b) u (c) g c Let l(v) be the third derivative of v**4/24 + 11*v**3/6 - 9*v**2. Let p be l(-15). Which is the biggest value? (a) 2/5 (b) 1 (c) p b Let x = 47.45 - 47. Let o = x + -2.45. What is the third smallest value in 2/15, o, -5? 2/15 Let f(r) = 5*r**2 + r - 1. Let p be f(1). Let q = 102 + -109. Which is the biggest value? (a) -5 (b) -1 (c) p (d) q c Let r = -0.063 - 3.937. What is the biggest value in -20, 3, r? 3 Let g be (8/14)/(1/277). Let u = g + -158. Let j = -876 + 875.7. Which is the biggest value? (a) j (b) 0 (c) u c Let f(h) = -3*h + 14. Let x be f(5). Let q = 9 - 9.3. What is the fourth smallest value in q, 2/9, 0.16, x? 2/9 Let v(k) = k**3 + 10*k**2 - 9*k + 23. Suppose -j - 17 = 3*i + 3*j, 3*j = 4*i + 56. Let t be v(i). What is the third smallest value in t, -3, -0.3? t Let f be (-475)/(-228) + (-8)/6. Which is the second biggest value? (a) -22 (b) f (c) -0.2 c Let w = -155 - -155.05. What is the smallest value in -1, -9, 0.1, w? -9 Suppose -v = 2*v. Let g = -47.2 - -47. Which is the second smallest value? (a) v (b) 2/15 (c) g a Let m = -0.05471 + -26.53529. Let v = 27 + m. Let p = -0.21 + v. Which is the second smallest value? (a) 2/7 (b) p (c) 1 a Let o = -37 - -33.9. Let z = 0.9 - o. Let v = -67 - -62. Which is the biggest value? (a) z (b) -4/5 (c) v a Let l = -5.26 - -3.26. Which is the biggest value? (a) 40 (b) l (c) 0.3 a Let w = -0.1 - 0. Suppose -1199 = 3*z + 76. Let q be 3 + 5/(z/245). Which is the smallest value? (a) w (b) -2/7 (c) q b Let q = 47.7 + -42.7. Which is the third biggest value? (a) 19 (b) q (c) -3 c Let p be 4/(-205)*46/4. Let i = p - -1/41. Let s = -21 + 22.3. What is the third smallest value in 1/2, i, s? s Let u be 6/15*9/(-72)*4. What is the second biggest value in -2/85, 0.4, u, -1/7? -2/85 Let t = -6.04 - 23.96. What is the second biggest value in t, 0, -0.1? -0.1 Let k(y) = y**3 - 7*y**2 - 17*y - 6. Let j be k(9). What is the third biggest value in 15, -4, j? -4 Let u be (126/70)/(42/10). Let v be -10 + 0 - 0/(-1). Let k be (-1)/2*(-8)/v. What is the second biggest value in k, u, -3/4? k Let n = 5.5 - 9.3. Let q = n + 3.7. Suppose 2*y + 8 = 0, -y = -3*j + 4*j + 9. What is the third biggest value in j, -0.5, q? j Let y(q) = -q**3 - 29*q**2 - 28*q - 2. Let j be y(-28). Which is the second biggest value? (a) 0.3 (b) j (c) 13/3 a Let d = 65.8473 - -0.1527. Which is the third smallest value? (a) d (b) -2 (c) -3 a Let c = -28.3 - -28.7. What is the smallest value in c, -4/3, 0.7? -4/3 Let h = 206 + -614/3. Let i = 1.2 - 0.9. What is the fourth smallest value in i, h, -1, 0? h Let f = 28 + -28.3. Let o be -3 + (-3)/(84/(-100)). Which is the biggest value? (a) -4 (b) f (c) o (d) -0.11 c Let o = 39.8 + -39.4. Which is the second biggest value? (a) -10 (b) o (c) -1/4 (d) 0 d Let z = 285.7 - 286. Which is the second smallest value? (a) -18 (b) 0.3 (c) 0.2 (d) z d Let u = 0.074 + -80.574. Let v = u - -81. Let t = 8/15 + -28/165. What is the smallest value in t, -0.5, v? -0.5 Let y = -0.15 - -0.58. Which is the biggest value? (a) y (b) -3 (c) -1/2 a Let p be (1 - 1)*1/(-2). Suppose -5*t + n = p, 3*n - 6 = -t + 2*n. Let m be (-117)/156 + (58/24 - 2). Which is the third biggest value? (a) m (b) 3 (c) t a Let j = 146.82 + -146.72. Let g = 4.5 + -0.5. What is the second smallest value in -0.097, g, j? j Let h be 43/(-72) - (-4)/18. Let w = -6.64 - -1.64. Which is the fourth smallest value? (a) h (b) w (c) 1/2 (d) -0.2 c Let n be (-1)/1 + (-2 - -5). Let j = 31/14 - 5/2. Which is the third smallest value? (a) n (b) j (c) -5/2 a Let q be 75/42 + 54/252. Let a = 11.81 + -12. What is the biggest value in 0.5, a, q? q Let y = 130 + -128. What is the third biggest value in -2/3, -5, y, 6? -2/3 Let g = -5.27 - -0.27. What is the fourth smallest value in g, 2/7, -0.1, -1? 2/7 Let q = 0.1 - 3.1. Which is the fourth biggest value? (a) 5 (b) 4 (c) 4/45 (d) q d Let p be (-9)/(-29 - -11)*(1 + 0). Which is the third biggest value? (a) 5 (b) -72/41 (c) p b Let q = -269 + 278. What is the third biggest value in -2/7, -2, q? -2 Let d = -0.04 - -5.04. Let g be (-20)/6 + (-5 - (-8 + 2)). Which is the third smallest value? (a) -0.3 (b) g (c) d c Let h = -57.6 + -1.9. Let b = h - -59. Let j = -85/6 - -613/42. What is the third biggest value in -2, j, b? -2 Let r = 1.98 + 0.02. Let h = -10.2 + 9.7. What is the third biggest value in r, 1, h? h Let l(v) = -v**3 - 2*v**2 + v - 2. Let o be l(-3). Let h = 33/65 + -4/13. Let j = 0.8 - 1. What is the second smallest value in h, j, o? h Let h = 9.95 - 9.93. What is the second smallest value in 0.5, h, -1/4? h Let h = 895 - 898.8. What is the third biggest value in h, 5, 0.4? h Let g = -0.653 + 0.083. Let m = g + 0.17. Which is the second biggest value? (a) 14 (b) m (c) 3 c Let l = -0.587 - 0.013. Let k = 8/3 - 1/6. Which is the fourth smallest value? (a) k (b) 1 (c) l (d) 0.5 a Let g = -164 + 162. What is the smallest value in 1/29, g, 5? g Let q = 929 + -932. What is the third biggest value in q, -1, 0.2, -2/7? -1 Let h = 13/30 + -14/15. Let u = 4 + -4.2. Which is the biggest value? (a) u (b) h (c) -8/5 a Let x = -0.799 - 0.201. Which is the second smallest value? (a) -0.05 (b) -1/5 (c) x b Let k = 807 + -757. What is the third smallest value in 1/6, 0, -1, k? 1/6 Let k be (((-18)/(-4))/3)/((-63)/(-84)). Suppose -3*q + k*d - 28 = -2*d, 2*d = 8. What is the second smallest value in 5, 1/14, q, 1/3? 1/14 Let p = -0.7 + 0.6. Let j = -8 + 13. Suppose 33 = -j*g + 8. What is the biggest value in -0.04, g, p? -0.04 Let p be 2/2*(-1 + 2). Let l = -5.184 - -1.184. Which is the second smallest value? (a) l (b) p (c) -1 c Suppose -13 = -5*u - 38. Let m = u - 0. Which is the third biggest value? (a) -0.2 (b) -4 (c) m c Let b = 1 + 45. Let p = -45 + b. What is the second smallest value in p, 2/7, -2? 2/7 Let y = -0.33 - -0.03. Let n = -55 + 25. Let d = -29.5 - n. Which is the second smallest value? (a) -0.4 (b) d (c) y c Let b = 2.4 + -2. Let o = 3 - 2. Let r = o + 1. What is the second biggest value in b, r, 0? b Let l = 1.53 - 1.6. Let j = -18 + 17. Which is the biggest value? (a) 1 (b) j (c) l a Let j be 6/20*665/532. Which is the third smallest value? (a) -83 (b) j (c) 3/5 c Let g be (7 + (-8)/2)*-1. Let d be (-274)/276 + (-3)/9. Let j = d - 4/23. Which is the biggest value? (a) j (b) g (c) 7 c Let i = -43.72 - -43. Let s = -0.32 - i. Which is the second biggest value? (a) 0 (b) s (c) -3/2 (d) -5 a Let w = -247 + 2711/11. What is the second biggest value in w, 3/2, 5, 1? 3/2 Let f = 605.7 - 606. Suppose 3*q - 4*q = 3. What is the second biggest value in q, 1.6, f? f Let h = -318.1 + 362. Let a = -44 + h. What is the smallest value in 4, -5/6, a, 5? -5/6 Let d = 217 - 144. Let p = d - 78. Which is the third smallest value? (a) -0.6 (b) -2 (c) p a Let v be (-4)/(-10) + (-182)/(-70). Suppose h = v + 12. Suppose -3*u = -0*u - h. Which is the biggest value? (a) u (b) 2 (c) 0.3 a Let x = 1466 - 1464. What is the third biggest value in x, -2.8, -4, -0.3? -2.8 Let h = -0.032 + -38.968. Let j = 33 + h. Which is the third smallest value? (a) -1/2 (b) 2 (c) j b Let a = 7.94 + -7.94. What is the smallest value in a, 1/7, 0.3? a Let u = 88.8 - 47.7. Let w = 41 - u. Which is the fourth smallest value? (a) -0.4 (b) -0.2 (c) w (d) -3 c Let w be (-2)/(-13)*(-689)/(-106). What is the second biggest value in 2/7, -10, -0.5, w? 2/7 Let f = 4052/15 - 270. Let d = 0.2 + -0.1. Let j be (2 - (-32)/(-26)) + -1. Which is the second smallest value? (a) d (b) f (c) j a Let i = 57.3629 + 0.0371. Let d = i + -57. What is the third biggest value in -18, -0.3, d? -18 Let l = -375 - -380. What is the second smallest value in 118, -0.5, l? l Let m = 4.9526 - -0.0474. Let v be (2/(-14))/((-2)/6). Let x = 0 + 0.2. What is the biggest value in m, x, v? m Let z = -0.2 + 5.2. Let o(u) = -u**3 + 12*u**2 + 13*u + 5. Let k be o(13). Let w be 2/8*-1*k. Which is the second smallest value? (a) z (b) -0.06 (c) w b Let j = -221.5 + 222. Let s = -0.36 - 0.04. Let u = 0.08 + -0.38. Which is the second biggest value? (
{ "pile_set_name": "DM Mathematics" }
0.1. -31228383.1 -5843317*0.06 -350599.02 Product of 1974898 and 0.44. 868955.12 Calculate 3051.4*323. 985602.2 Calculate 7833019*-75. -587476425 Work out -0.0533 * 0.025704. -0.0013700232 Calculate -88.96832*-2. 177.93664 Product of -11380.7 and 0.04. -455.228 What is the product of 129 and 1243? 160347 Multiply 61.76 and -3304. -204055.04 Calculate -3.6*169013. -608446.8 63.0514*-0.64 -40.352896 What is the product of -59 and -137516? 8113444 1.7222 times 216 371.9952 6 * 1008873.1 6053238.6 Multiply 1960.2 and -0.64. -1254.528 Multiply -28 and 4011051. -112309428 -0.012*-3389.694 40.676328 -805 times -571.96 460427.8 What is the product of 0.01806021 and -16? -0.28896336 -4 times -98718 394872 Product of -7595.9693 and -5. 37979.8465 Multiply 1.9 and -116.0666. -220.52654 Multiply 556.33 and -0.25. -139.0825 -0.443725 times 93 -41.266425 What is 4982 times 0.05485? 273.2627 What is the product of -13179994 and -3.4? 44811979.6 Multiply -0.4 and 1.75758. -0.703032 -548 * 4147 -2272556 Work out 22.3 * 0.66719. 14.878337 What is the product of -0.055275 and -5391? 297.987525 5 * 112239.3 561196.5 What is -217 times 2257403? -489856451 What is the product of 37580 and -30? -1127400 Multiply 77.7 and -137.752. -10703.3304 Calculate 108197*8. 865576 2.5 times 7313135 18282837.5 -0.01*8739852 -87398.52 -0.184 times 1074574 -197721.616 -0.21*-3034342 637211.82 What is -297 times 57612? -17110764 What is -48457.6 times -14? 678406.4 Product of -102 and -69155. 7053810 -0.2267 * -1.272 0.2883624 Work out -29808722 * 1. -29808722 Multiply -5.19 and 2825.8. -14665.902 Multiply -0.2356 and 0.0683. -0.01609148 1.766668 * -4 -7.066672 Multiply -8.29944 and 0.068. -0.56436192 -1584177 * -0.06 95050.62 153.1 * -10064 -1540798.4 99763 * 9.525 950242.575 Product of -335 and 1529424. -512357040 -46 * 5346 -245916 Multiply -906.116 and 0.38. -344.32408 Calculate -0.026*-1981938. 51530.388 -109367.9 times 17.7 -1935811.83 Work out 62.8 * 0.04559. 2.863052 What is the product of 4.7971 and -4822? -23131.6162 What is the product of 0.068 and -24.9773? -1.6984564 What is -0.5 times -6.529802? 3.264901 2 * -0.05514787 -0.11029574 -4189781*-245 1026496345 Multiply 0.07 and 32460205. 2272214.35 Product of -115873 and -9.9. 1147142.7 716.2*-5805 -4157541 -2.26 times -176405 398675.3 43286288*-2 -86572576 What is 11099.747 times -3.6? -39959.0892 0.02653615*9 0.23882535 Multiply -28418 and 166. -4717388 0.02318*-12000 -278.16 What is 1243976 times -0.5? -621988 What is 287 times 123448? 35429576 Product of -0.0788 and -587. 46.2556 Multiply -0.1 and -7049137. 704913.7 -1255.897 * 11.7 -14693.9949 Product of 0.2 and 85.79019. 17.158038 Calculate -2*3748303. -7496606 What is -1 times -1736.451? 1736.451 What is the product of -0.209959 and 47? -9.868073 -47590 * -40.2 1913118 Work out -0.3 * 404594.7. -121378.41 Product of -0.2 and 0.02593918. -0.005187836 Product of 0.3 and -237179047. -71153714.1 What is the product of -0.2 and 2599753? -519950.6 -79285454 * 0.4 -31714181.6 What is the product of -2.0030652 and 13? -26.0398476 Calculate -0.07*8.1258555. -0.568809885 Work out -4 * -26265123. 105060492 Product of -0.003065 and -0.01264. 0.0000387416 -3 times 61066176 -183198528 Calculate 2.2*87.53196. 192.570312 Calculate 0.0581*12.536. 0.7283416 10.18 * -11646 -118556.28 Calculate -15*-778153. 11672295 Work out -5 * -0.0191992. 0.095996 139186 times -766 -106616476 Calculate -3529310*-0.057. 201170.67 Multiply 0.04 and -33533828. -1341353.12 -101 times 168.57 -17025.57 -317.4*58386 -18531716.4 Product of -0.24 and -0.14029. 0.0336696 165061*-53.3 -8797751.3 What is the product of -11183108 and 27? -301943916 Multiply 4035.6 and 0.11. 443.916 What is the product of 99.1 and 1.2045? 119.36595 Calculate 0.1*-2687083. -268708.3 8208 times -14.8577 -121952.0016 21188 * -9 -190692 What is the product of -2 and 61510332? -123020664 Multiply 0.06 and 1666684. 100001.04 -0.4 * -869555 347822 Product of 102 and 104638. 10673076 -3*190267.46 -570802.38 -0.14 * 400.30112 -56.0421568 -0.05 * 81599059 -4079952.95 -1.2 * 0.59110789 -0.709329468 Calculate 0.53966*2.158. 1.16458628 Work out 136.77 * 333. 45544.41 What is -364.53 times -2656? 968191.68 -49541345*4 -198165380 0.5 * 0.1704775 0.08523875 0.564631 * 1090 615.44779 Work out 4 * -16583416. -66333664 -5664 * -2322 13151808 -274.51 times 22343 -6133376.93 5 times -0.4885925 -2.4429625 What is the product of -467571 and 5.51? -2576316.21 What is the product of -1 and -0.0681378? 0.0681378 What is the product of 3 and 44.5587? 133.6761 Work out 2 * -124.35397. -248.70794 Product of 8826434 and 0.4. 3530573.6 -0.01044 * -1961 20.47284 Product of -0.005413 and 0.72. -0.00389736 0.1093 times 254595 27827.2335 Calculate -65*-2130265. 138467225 Calculate 307.95*-0.11. -33.8745 Multiply 108276 and 0.219. 23712.444 83916 * -27 -2265732 Product of 2.3 and 1107843. 2548038.9 0.1*365775571 36577557.1 129 * -191937 -24759873 Work out 3.8 * 27945. 106191 -9.7*1985618 -19260494.6 What is the product of -2.2428 and 1.83? -4.104324 What is the product of -154455 and 23? -3552465 Product of -3.85935 and -2. 7.7187 Multiply 4 and 101.12678. 404.50712 Multiply 0.23082 and 0.558. 0.12879756 -92895*-211 19600845 0.22 * 2159.535 475.0977 What is the product of -13 and -34805? 452465 -2.996918*-0.053 0.158836654 What is 2 times -0.351645? -0.70329 What is the product of -0.92 and -0.62889? 0.5785788 Product of -5.27025 and -11. 57.97275 124317.2 * 0.3 37295.16 -8803 * -2648 23310344 What is 187037 times -0.88? -164592.56 Calculate -41*387586. -15891026 -0.5*10312108 -5156054 Multiply -30047193 and 0.1. -3004719.3 What is the product of -1.5 and -10737.43? 16106.145 -13302 * 6706 -89203212 Work out 721691.08 * -0.3. -216507.324 What is -1.05 times 1959.02? -2056.971 -2 times -19354244 38708488 -0.7307 * 0.3909 -0.28563063 What is 3.9 times -201? -783.9 -1582272.3*29 -45885896.7 -0.05324832 * -2 0.10649664 What is 130557.8395 times -3? -391673.5185 What is the product of -109 and -16212141? 1767123369 0.0642 * 1089 69.9138 Multiply 54 and 6286435. 339467490 18 times -398.793 -7178.274 72.849536*22 1602.689792 -0.0477 * -146125 6970.1625 -0.7*7239925.3 -5067947.71 What is 416.3886 times -20? -8327.772 Calculate 5*0.1808302. 0.904151 Calculate -7*-1.6730235. 11.7111645 Product of 0 and -16321113. 0 What is 3 times -621979? -1865937 Calculate 3399.191*22.8. 77501.5548 Multiply 3713733 and 0.4. 1485493.2 What is the product of -4.5 and 3225359? -14514115.5 -1403996 times -0.07 98279.72 0.011*-319.032 -3.509352 Work out -66164 * -4. 264656 What is the product of 58291 and -0.049? -2856.259 Multiply -1 and 0.0721345. -0.0721345 Product of 12.2 and -90474. -1103782.8 887 times 40.9 36278.3 Multiply -9213 and -27079. 249478827 Calculate -114*248691. -28350774 Multiply -4 and 109416392. -437665568 What is the product of 32243.1474 and 4? 128972.5896 Calculate 0.759782*6. 4.558692 What is 775 times 0.005073? 3.931575 -0.7*826210 -578347 -416.3 * 11437 -4761223.1 Multiply 0.4 and -110662.3. -44264.92 Product of -2116 and 0.3202. -677.5432 Calculate -11.43*19081. -218095.83 Product of 0.1 and -2632045.99. -263204.599 What is the product of -0.018768 and -301? 5.649168 -1.1*-28828265 31711091.5 Multiply 0.061066 and -70. -4.27462 What is the product of -1.868763 and 4? -7.475052 Product of 85647 and 0.026. 2226.822 Calculate -0.36*62604. -22537.44 Product of 372030 and -280. -104168400 -242392.761*0 0 Calculate 0.148*-7607. -1125.836 Calculate 17.017*436.3. 7424.5171 Work out 0.13 * -3.13931. -0.4081103 What is the product of 7737 and -263? -2034831 Calculate 23.77*2705.66. 64313.5382 Calculate 304*3.63016. 1103.56864 -0.067 * -25.4594 1.7057798 Product of 38817 and -6.28. -243770.76 93 times -29115 -2707695 204 times 7797 1590588 0.2 times -8064511 -1612902.2 9 times 3322.6629 29903.9661 Work out -0.018898 * 1266. -23.924868 What is the product of -7 and -6.3165? 44.2155 Multiply -1.8 and -71733293. 129119927.4 1.57 times 1390548 2183160.36 What is -0.1120555 times 0.0178? -0.0019945879 Multiply -211 and 21977. -4637147 67.8*0.22392 15.181776 Product of 5 and -765494. -3827470 What is the product of -1365835 and 0.2? -273167 Work out 168 * -0.080315. -13.49292 W
{ "pile_set_name": "DM Mathematics" }
w)? 66 Find the common denominator of 11/778 and ((-4148)/(-366))/(8/(-6)). 778 Find the common denominator of -65/6 and 2/54*20/(-16). 108 Suppose -4*w - 2*f + 58 = 0, w + 0*w - f - 7 = 0. Suppose -6 = 4*y - 5*y + 2*o, -5*y + w = -o. Find the common denominator of -4 + 1/y*-91 and -9. 2 Let w be (8/(-14))/(42/(-735)). Suppose w*f - 8*f = 28. Calculate the lowest common multiple of 4 and f. 28 Let p = 633/7 + -4805/56. Calculate the common denominator of -73/4 and p. 8 Find the common denominator of 2/3 + (-714)/2128 and 7/40. 2280 Let s = 794 + -782. Calculate the least common multiple of s and 213. 852 Let o(m) = -m**3 - 13*m**2 + 234*m + 98. Suppose -2*x + 48 = 2*x. What is the least common multiple of o(-23) and x? 12 Let u be 1/(1/25 - 0). Find the common denominator of -27/11 and 5*u/40 - -3. 88 Let c(i) = i**3 - 11*i**2 + 12*i - 11. Let b be c(10). What is the lowest common multiple of 4 and 4/(-16) + b/4? 4 Let m be 1*2/(4/30). Suppose 4*h = -b + 21, 0 = h - 3*h + b + m. Calculate the smallest common multiple of 12 and h. 12 Let b(a) = 11*a - 151. What is the smallest common multiple of b(17) and 48? 144 Let v = 7530 - 158198/21. Let a = -1489/168 - v. What is the common denominator of a and 6/64*-30 + -1? 16 Let s = 16 + -6. Let d(g) = -g**3 + 12*g**2 - 7*g + 4. Let y(u) = -u**3 + 13*u**2 + 11. Let t be y(13). Calculate the least common multiple of s and d(t). 240 Suppose 5*o = 3*m + 17 + 12, 4*m - 8 = -5*o. Calculate the smallest common multiple of (-33)/m - (4 - 5) and 104. 312 Let v be 4*(-1 + 2)/(-1). Let w be ((-30)/24)/(1/v). Calculate the lowest common multiple of 87/5 + 3/w and 20. 180 Suppose d - 11 = 4*b, 4*b + b = 3*d - 19. Calculate the lowest common multiple of 36 - (b + 2 - -3) and 6. 66 What is the common denominator of 9/15*(-7 + (-930)/(-162)) and 91/150? 450 Let n = 15 - 11. What is the lowest common multiple of n and (-21 + 7)/(1/(-5)*1)? 140 Let h(j) = 6*j - 7. Let q be h(11). Suppose -7*t + q = 17. What is the lowest common multiple of 8 and t? 24 Let z(s) = s**3 - s**2 + s + 3. Let q be z(0). Suppose 0 = -q*p + 14 + 4. Suppose -b = -p*b + 110. What is the smallest common multiple of b and 12? 132 Suppose 2 = 4*o - 2. Calculate the least common multiple of (-7)/(4 - (4 + o)) and 54. 378 Suppose 0 = 2*b - 5*k - 30, 0 = -3*k - 2*k - 10. What is the lowest common multiple of b and 60? 60 Calculate the least common multiple of 159 + (-56)/(19 - 11) and 190. 760 Let p = 6211/33 + -1135/6. Let r(z) = z**3 - z**2 - 4*z + 5. Let g be r(2). What is the common denominator of (-762)/(-108) + 0 + g + -1 and p? 198 Suppose 0 = -2*b - 2*b. Suppose 22 = -7*f + 9*f. Suppose q - f = -b*q. What is the lowest common multiple of 9 and q? 99 Let m(z) = -46*z - 478. What is the lowest common multiple of 380 and m(-17)? 1520 Suppose 0 = 4*y + 2*g - 9 - 11, -4 = -2*y - 4*g. Let r(t) = t + 2. Let k be r(2). What is the smallest common multiple of y and (2 - k)*(-4 + 3)? 6 Let j = -7 + 11. Suppose 6*z - 2*z = -2*r + 2, 4*z = j*r + 8. Calculate the lowest common multiple of 18 and z. 18 Let w(z) = z**3 + z**2 - 4*z + 5. What is the smallest common multiple of (78/4*1)/((-5)/(-10)) and w(2)? 117 Let p = 24614 - 1846004/75. What is the common denominator of -17/69 and p? 1725 Let x(q) = -q**2 - 59*q + 210. What is the least common multiple of x(-62) and 18? 72 Let u(w) = 33356*w**2 + 4*w + 3. Let r be u(-1). Let o = r + -2401505/72. Calculate the common denominator of o and -81/16. 144 Calculate the least common multiple of 34 and 45/20*(476/(-21))/(-1). 102 Let w(m) = -4*m - 17. Let f be w(-5). Suppose -4*b - 2*x - 4 = 0, 0*x + 4 = -x. Suppose -b = -2*g + f. What is the smallest common multiple of g and 7? 14 Let i = -550 + 318. Let q = i - -5425/24. Calculate the common denominator of q and 41/9. 72 Let i(k) = 7*k + 205. Calculate the lowest common multiple of i(-19) and 162. 648 Let s(d) = d - 7. Let v = -351 - -379. What is the lowest common multiple of v and s(9)? 28 Suppose 3*z - 4*i - 20 = 0, -6*i + i = 3*z - 2. Suppose -z*x = -2*r + 59 - 19, 0 = -4*x. What is the least common multiple of r and 18? 180 Suppose 12*z - 59 = -11. What is the lowest common multiple of 6 and 1813/343 + 3/((-42)/z)? 30 What is the least common multiple of 59/7 - (-663)/(-1547) and 30? 120 Let k = -17681 - -972428/55. Find the common denominator of -109/110 and k. 110 Let f = -3240121/553860 - -2/27693. Calculate the common denominator of (1 - -6) + (-35154)/3528 and f. 140 Suppose -33 = k - 3*k + 3*m, -2*k - 3*m = -39. What is the smallest common multiple of 42 and k? 126 Let n = -5/309 + 13327/2472. Find the common denominator of -97/22 and n. 88 Suppose 0 = -3*y - 3*q - 9, 7*y - 2*y = 5*q - 5. Calculate the common denominator of (-116)/12*-2*y/(-36) and 70/9. 27 Suppose -4*r - 4*y = -r + 53, 0 = -2*y - 4. Let b be 6/r - (-266)/116. Let q = b - -6/29. What is the common denominator of -103/20 and q? 20 Let v(j) = j**3 - 13*j**2 + 11*j + 6. Let l be v(12). What is the common denominator of -8/9 and ((-74)/(-5))/((l + -6)/3)? 90 Calculate the smallest common multiple of 57 - (-10)/((-50)/15) and 54. 54 Let s = -316063/180 + 8798/5. Calculate the common denominator of s and 115/12. 36 What is the common denominator of -5*(-2439)/(-2250) + 7 and -73/170? 850 Suppose u + 5 = l, -3*l + 0*l = -4*u - 19. Calculate the common denominator of -75/16 and (1 + -72)/(8/l). 16 Suppose 0 = 4*j - 4*t + 12, -4*j + 8 - 5 = -t. Suppose 0 = 3*w - 7*w + 16. What is the least common multiple of j and w? 4 Let q = -353/57 - -276/19. What is the common denominator of q and 11/1283? 3849 Suppose 0 = 168*w - 4167 + 938 - 3155. Suppose 0 = 3*c + 2*c - 20. Calculate the smallest common multiple of w and c. 76 Let s = 20 + -16. Suppose s*j + 7 = 5*u, 2 = -j + 5*u + 4. Find the common denominator of ((-42)/(-5))/(j/(-2)) and -43/5. 5 Let o(g) = -2*g + 2. Suppose 5*s - 4*i = 2*s + 17, -3*s + 2*i + 25 = 0. Suppose 8*f = s*f. What is the lowest common multiple of 14 and o(f)? 14 Let s = 963 - 660. Let t = 111 - 69. Find the common denominator of -63/8 and s/t + -1 + 1. 56 Find the common denominator of -75/56 and ((-28)/2)/((-16)/(-22)). 56 Suppose -15 = -3*y, -3*v + 4*y = 6*y - 121. Let z = -35 + v. Calculate the least common multiple of 4 and z. 4 Suppose 5*s = 2*s - 72. Let d = -11 - s. Calculate the smallest common multiple of d and 1. 13 Suppose 5*j + 2 = 4*v + 22, -3*j = 2*v - 12. Suppose a = 3, -j*i + 2*a - 16 = -9*i. What is the least common multiple of (i + 6)*2/4 and 7? 28 Let b = -866 - -930. What is the smallest common multiple of b and 48? 192 Suppose 3*m - 14 = -2*h, -m + 3*h + 23 = -0. Suppose 2*l - m - 24 = 0. Suppose -9*z + 5*z = -64. What is the smallest common multiple of z and l? 16 Let q = -2/2815 - -197068/25335. Find the common denominator of q and 3/(30/425) + 1. 18 Let t = 32 + 657. Calculate the least common multiple of 9 and t. 6201 Let t = 5051/4140 - -29/115. Let w(u) = -u**2 - 7*u - 1. Calculate the common denominator of t and w(-6). 36 Calculate the common denominator of (999/(-300))/(-6 - -9) and 23/22. 1100 Suppose 2440*h = 2455*h - 1890. Calculate the lowest common multiple of 2 and h. 126 Calculate the smallest common multiple of 2 and (4 + 2390/25)/((-12)/(-30)). 498 Let g(f) = f - 2. Suppose -b = 4*x + 5, 3*b = -5*x + 3*x + 5. Suppose 3*q - 4*v = 80, -b*v = v + 8. What is the lowest common multiple of q and g(6)? 24 Let o be 2*313*(-1)/180. Let h = -384/11 + 3830/99. Let i = o + h. Find the common denominator of i and -59/8. 40 Let s = -61030201886593/13743 + 4440820921. Let q = -44/509 + s. Find the common denominator of 65/21 and q. 189 Let u = -141/4 + 4681/132. Find the common denominator of u and 71/12. 132 Let y = 315891061/674 + -468681. Calculate the common denominator of y and 61/18. 6066 What is the common denominator of -163*(-2)/(-56) + 165/33 and (-2 - -1) + (-290)/12? 84 Let o = -10 + 14. Suppose 4*g - g + w = 27, 3*w + 49 = o*g. Calculate the least common multiple of 14 and g. 70 Let c = 72807/16 - 4554. Find the common denominator of 1/282 and c. 2256 Let h(i) = i**3 + 57*i**2 - 121*i + 75. Calculate the least common multiple of h(-59) and 108. 756 Let y = -23 - -29. Calculate the common denominator of 46/24*(-6)/4 and 6*y/(-189)*3.
{ "pile_set_name": "DM Mathematics" }
f 13? False Does 13 divide 429? True Is 101 a factor of 707? True Does 20 divide 48280? True Is 76 a factor of 1471? False Is 3654 a multiple of 126? True Does 63 divide 378? True Does 6 divide 1074? True Is 27 a factor of 918? True Is 121 a factor of 15208? False Does 8 divide 41234? False Is 9 a factor of 312? False Is 168 a multiple of 36? False Does 21 divide 184651? False Is 11 a factor of 1454? False Is 68748 a multiple of 191? False Does 8 divide 5088? True Is 3978 a multiple of 18? True Is 29 a multiple of 29? True Does 12 divide 648? True Is 19 a factor of 610? False Is 11 a factor of 1774? False Is 30 a factor of 3435? False Does 49 divide 71? False Does 10 divide 1124? False Is 2 a factor of 708? True Is 10 a factor of 2408? False Is 71 a factor of 1497? False Is 944 a multiple of 16? True Is 2 a factor of 163? False Is 52 a factor of 42625? False Is 4 a factor of 935? False Is 1294 a multiple of 18? False Does 9 divide 6480? True Does 53 divide 10331? 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True Is 2 a factor of 256? True Does 161 divide 33311? False Is 3 a factor of 3113? False Is 1435 a multiple of 35? True Is 47 a factor of 202? False Is 1865 a multiple of 6? False Is 20 a factor of 19920? True Does 16 divide 49644? False Is 689 a multiple of 13? True Is 9364 a multiple of 12? False Is 112 a factor of 6027? False Does 125 divide 8418? False Is 15 a factor of 615? True Is 22 a factor of 1672? True Is 8 even? True Does 36 divide 3672? True Is 1241 a multiple of 17? True Is 41 a factor of 574? True Is 25 a factor of 1425? True Is 17 a factor of 1258? True Is 61 a factor of 45750? True Is 36 a factor of 6984? True Does 17 divide 1466? False Is 49 a factor of 637? True Is 8 a factor of 280? True Is 18177 a multiple of 219? True Is 1382 a multiple of 72? False Is 26399 a multiple of 155? False Does 26 divide 39635? False Is 4875 a multiple of 5? True Is 67871 a multiple of 256? False Is 22 a factor of 1055? False Does 63 divide 4287? False Is 2253 a multiple of 49? 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{ "pile_set_name": "DM Mathematics" }
0. What is y? -1, 0, 1 Let o(n) be the third derivative of 1/30*n**5 + 0*n**3 - 1/12*n**4 + 0 + 0*n - 7*n**2. Solve o(c) = 0. 0, 1 Let t(m) = -m - 2. Let n be t(-4). Let z be 2 - (n/2 + -2). Factor -z*q**3 - 3*q**2 - 2*q - 4*q**2 + 3*q**2 + q**3. -2*q*(q + 1)**2 What is t in -2/13*t**2 + 2/13 + 0*t = 0? -1, 1 Let p(o) = 2*o + 13. Let w be p(-9). Let f be w + 7 + 6/(-4). Factor f*m**2 + 0*m + 0 - 1/2*m**4 - 1/2*m**3 + 1/2*m**5. m**2*(m - 1)**2*(m + 1)/2 Let r(u) be the third derivative of 0 + 0*u - 5/8*u**4 + 1/5*u**5 - 1/40*u**6 + 2*u**2 + u**3. Suppose r(c) = 0. What is c? 1, 2 Let o(m) = -m**2 - m + 3. Let y be 0/(0 - 6/(-3)). Let u be o(y). What is x in 2/3*x**2 + 2/3*x - 2/3*x**u - 2/3 = 0? -1, 1 Suppose 0 = -9*l + 4*l - 3*o + 433, 428 = 5*l - 2*o. Factor -52*j**3 + 30*j**4 - 104*j**2 + 106*j**3 + 68*j**4 + l*j**3 + 16*j. 2*j*(j + 2)*(7*j - 2)**2 Let j(f) be the third derivative of f**8/336 - f**7/42 + f**6/12 - f**5/6 + 5*f**4/24 - f**3/6 + 2*f**2. Factor j(n). (n - 1)**5 Let h(n) be the first derivative of 3 - 1/720*n**6 + 4/3*n**3 + 0*n**4 + 0*n**2 + 0*n**5 + 0*n. Let y(w) be the third derivative of h(w). Factor y(i). -i**2/2 Determine j so that 1/6*j**4 - 2*j + 1/3*j**3 + 6 - 11/6*j**2 = 0. -3, 2 Let l be 2/2 + -3 + (2 - 0). Factor -2/5 + 2/5*o**2 + l*o. 2*(o - 1)*(o + 1)/5 Let i(k) = -k - 6. Let r be i(-8). Factor -2/5 - 6/5*u - 2/5*u**3 - 6/5*u**r. -2*(u + 1)**3/5 Let y(v) be the first derivative of -5*v**4/4 + 5*v**3 - 5*v**2 - 11. Factor y(f). -5*f*(f - 2)*(f - 1) Suppose -6 - 14 = 5*u. Let p = u + 4. Factor -7*y - 16*y**4 - 7*y**3 - 13*y**3 - 4*y**5 - 19*y**2 + p*y - 1 - 5*y**3. -(y + 1)**3*(2*y + 1)**2 Let p be (-10)/30 + 91/3. Let k be 3/p + (-6)/(-15). Determine n so that k*n**2 - 1/2*n - 1/2*n**4 - n**5 + 3/2*n**3 + 0 = 0. -1, 0, 1/2, 1 Let p be (-27)/36 - 62/(-8). Let t = 15/2 - p. Factor t*o**2 + 0*o + 0. o**2/2 Let t = 257/2770 + 2/277. Let q(h) be the first derivative of -1/8*h**2 + 1/24*h**6 + 2 + 1/6*h**3 + 0*h - t*h**5 + 0*h**4. Find u such that q(u) = 0. -1, 0, 1 Let i(w) be the second derivative of -w**6/150 - w**5/50 - 31*w. Factor i(o). -o**3*(o + 2)/5 Solve 0 - i**2 + i**4 + 7/3*i**3 - 5/3*i**5 - 2/3*i = 0 for i. -1, -2/5, 0, 1 Let c(k) be the first derivative of 0*k + 0*k**2 - 5/16*k**4 + 2 - 1/5*k**5 - 1/12*k**3. Factor c(p). -p**2*(p + 1)*(4*p + 1)/4 Suppose 3*y**2 + 3/2*y**3 - 3/2*y**4 + 0 + 0*y = 0. Calculate y. -1, 0, 2 Let f(u) be the first derivative of u**6/48 - u**5/10 - u**4/16 + u**3/2 + 9*u**2/16 + 19. Determine q so that f(q) = 0. -1, 0, 3 Let v be (1 - (-33)/(-12))*10. Let y = v + 18. Factor y*x**3 + 0 + 0*x**2 + 0*x. x**3/2 Let i(r) be the second derivative of -1/5*r**5 + 0*r**3 - 1/3*r**7 + 2*r - 3/5*r**6 + 0*r**4 + 0*r**2 + 0. Factor i(c). -2*c**3*(c + 1)*(7*c + 2) Let q(u) = -13*u + 16. Let j be q(1). Suppose -16/9*v**4 + 14/9*v**j + 2/3*v**5 - 4/9*v**2 + 0 + 0*v = 0. What is v? 0, 2/3, 1 Suppose -4/3*g**2 - 16/3 - 34/3*g = 0. What is g? -8, -1/2 Suppose -d + 2 = -3*d - 4*p, -p - 2 = 0. Factor -1/5*o**4 + 0 + 0*o**2 + 0*o**d - 1/5*o**5 + 0*o. -o**4*(o + 1)/5 Suppose 4*v - 4 = 2*v. Factor -2*a**2 - 3*a - a + 0 + v*a + 4. -2*(a - 1)*(a + 2) Let m(c) be the first derivative of c**7/3360 - c**6/720 + c**5/480 - 8*c**3/3 + 11. Let n(t) be the third derivative of m(t). Factor n(l). l*(l - 1)**2/4 Let v(l) = 7 + 5 + 10*l**2 + 56*l + 53 - 9. Let c(u) = -2*u**2 - 11*u - 11. Let o = -20 + 36. Let d(g) = o*c(g) + 3*v(g). Factor d(f). -2*(f + 2)**2 Let 3*c**3 - 9*c**4 + 13*c**4 + 3*c**3 - c**4 = 0. What is c? -2, 0 Suppose 8 = -2*w + 5*m - 7, -4*w + 5*m = 5. Solve 0*v**3 + 0*v**4 + 0*v**2 - 2/13*v**w + 0*v + 0 = 0. 0 Suppose -3*f + 229 - 229 = 0. Factor 0*h + f + 2/11*h**2. 2*h**2/11 Let w be (-24510)/(-387)*12/55. Find v such that 722/11*v**3 - 16/11 - 508/11*v**2 - 448/11*v**4 + w*v + 98/11*v**5 = 0. 2/7, 1, 2 Let z(u) be the third derivative of 4*u**6/135 + 4*u**5/135 - 5*u**4/36 - u**3/3 - 12*u**2. Factor z(x). 2*(x - 1)*(4*x + 3)**2/9 Let r(t) be the second derivative of 1/8*t**5 + t + 0 - 1/2*t**2 + 1/3*t**4 + 1/12*t**3. Determine z so that r(z) = 0. -1, 2/5 Solve -40/7*u - 16/7 - 2/7*u**4 - 2*u**3 - 36/7*u**2 = 0 for u. -2, -1 Let g be 91/21 - 2 - (-10)/6. What is r in 15/2*r**g - 2/3 + 4*r + 1/6*r**3 - 41/6*r**2 - 25/6*r**5 = 0? -1, 2/5, 1 Let p(s) be the second derivative of -s**4/108 + 7*s**3/54 - s**2/3 - 29*s. Determine g, given that p(g) = 0. 1, 6 Let p(o) = -2*o**3 - 2*o**2 + 3*o + 2. Let a be p(-2). Find c, given that c**a + c**3 - 12*c**2 + 12*c**2 = 0. -1, 0 Let f(p) be the second derivative of p**8/1680 - p**7/560 + p**6/720 - p**3/2 - 3*p. Let g(y) be the second derivative of f(y). Factor g(j). j**2*(j - 1)*(2*j - 1)/2 Let v(k) be the second derivative of k**8/23520 - k**7/4410 - k**4/6 - k. Let z(n) be the third derivative of v(n). Determine h so that z(h) = 0. 0, 2 Suppose 2*f - 21 + 17 = 0. What is s in -4*s**4 - 5*s**2 - 17*s**4 - 27*s**3 - 4*s**f + 3*s**2 = 0? -1, -2/7, 0 Let c(h) be the first derivative of -2/35*h**5 - 1/21*h**6 + 2/21*h**3 + 0*h**2 + 0*h - 5 + 1/14*h**4. Factor c(t). -2*t**2*(t - 1)*(t + 1)**2/7 Suppose 4*l - 18 - 6 = 0. Factor -2*i - l*i**4 - i**2 - 7*i**2 + 2*i**3 + i**2 + 13*i**4. i*(i - 1)*(i + 1)*(7*i + 2) Let y(q) be the third derivative of q**7/945 - q**6/540 - q**5/90 + q**4/108 + 2*q**3/27 - 26*q**2. Suppose y(h) = 0. Calculate h. -1, 1, 2 Let q(x) be the third derivative of 0*x + 0*x**3 + 0 + 1/18*x**4 - 1/90*x**5 + x**2. Suppose q(d) = 0. Calculate d. 0, 2 Let m(t) = t - 12. Let y be m(16). Find d, given that 0 + 2/5*d**2 - 2/5*d**y + 2/5*d - 2/5*d**3 = 0. -1, 0, 1 Let v(l) be the third derivative of l**8/40320 + l**7/2520 + l**6/360 - l**5/60 + 6*l**2. Let s(h) be the third derivative of v(h). Factor s(d). (d + 2)**2/2 Let l(o) = 5*o**3 - 16*o**2 - 11*o + 11. Let r(s) = s**3 - 3*s**2 - 2*s + 2. Let m(p) = -6*l(p) + 33*r(p). Determine d so that m(d) = 0. 0, 1 Let m(y) be the second derivative of y - 1/18*y**4 + 0 + 2/3*y**2 + 1/9*y**3. Solve m(r) = 0. -1, 2 Let k = 14 - 12. Let u(g) = 11*g**5 - 9*g**4 - 13*g**3 - 7*g. Let r(x) = x**5 - x**4 - x**3 - x. Let n(d) = k*u(d) - 18*r(d). Factor n(b). 4*b*(b - 1)**2*(b + 1)**2 Let o = 1888/89 + -6/445. Let u = o - 97/5. Solve -u*h**4 - 9/5*h**3 + 0*h + 0 - 3/5*h**2 - 3/5*h**5 = 0 for h. -1, 0 Let x(u) be the third derivative of -u**8/1008 + u**6/180 - u**4/72 - 11*u**2. Factor x(r). -r*(r - 1)**2*(r + 1)**2/3 Let z be 7/4 + (-1)/(-4). Let p(b) = -b**3 + 7*b**2 + b - 3. Let c be p(7). Determine u so that 3 - u**c - 6 + 2*u**z + 2 = 0. -1, 1 Suppose 7*j = 4*j + 18. Find b such that -j*b**3 + b**2 - 5*b**2 + 4*b**3 = 0. -2, 0 Let l = -7/12 + 5/4. Factor -4/3*d**2 - l*d**3 + 0 + 0*d. -2*d**2*(d + 2)/3 Let q = -61 - -64. What is a in 2/11*a**2 + 0*a + 0*a**q + 0 - 2/11*a**4 = 0? -1, 0, 1 Suppose f + 7 - 41 = 0. Suppose -3*i - 4*c + 7 = 0, -i + c + f = -4*c. Let -i*y**3 + y + 2*y - 3*y**4 + 9*y = 0. Calculate y. -2, 0, 1 Let z = 89137 - 16222833/182. Let c = z - 7/26. Factor 8/7*q - c*q**2 - 8/7. -2*(q - 2)**2/7 Let q = 7/6 - 2/3. Solve -q*w**2 + 0 + 3/2*w**3 - 3/2*w**4 + 1/2*w**5 + 0*w = 0. 0, 1 Let p(j) = -5*j**2 + 65*j - 35. Let a(b) = 1. Let o(f) = -25*a(f) + p(f). Factor o(q). -5*(q - 12)*(q - 1) Let a be 9/(-2)*(-24)/27. Factor 0*l**2 + 0*l + 2/3*l**a + 1/3*l**5 + 0 + 1/3*l**3. l**3*(l + 1)**2/3 Let o(v) be the first derivative of v**7/735 - v**5/105 + v**3/21 + 3*v**2/2 - 3. Let a(d) be the second derivative of o(d). Factor a(p). 2*(p - 1)**2*(p + 1)**2/7 Let d(j) be the second derivative of 2*j**6/15 - 7*j**5/5 + 6*j**4 - 40*j**3/3 + 16*j**2 + 6*j. Let d(a) = 0. Calculate a. 1, 2 Let y(p) = p**2 - 6*p + 7. Let t be y(7). Let j(g) = 7*g**3 - 3*g**2 - 7*g - 4. Let v(o) = -4*o**3 + o**2 + 4*o + 2. Let b(w) = t*v(w) + 6*j(w). Solve b(s) = 0. -1, -2/7, 1 Let s(t) be the first derivative of -t**3/4 - 3*t**2 - 35. Factor s(d). -3*d*(d + 8)/4 Let f be 1 + (4 - 7)*4. Let h = -21/2 - f. Factor 1/2*p**2 - p + h. (p - 1)**2/2 Let w(f) be the third derivative of 128*f**7/175 + 152*f**6/75 - 36*f**5/25 - 13*f**4/2 + 20*f**3/3 - 10*f**2. Suppose w(q) = 0. What is q? -5/4, 1/4, 2/3 Let s(r) be the first derivative of -2*r**3/45 + 4*r**2/15 - 23. Factor s(q). -2*q*(q - 4)/15 Let o(t) = -t**3 + 5*t**2 - 8*t + 9. Let n be o(
{ "pile_set_name": "DM Mathematics" }
6 or 0? -3/5246 Is -95 equal to -110? False Is -3/55 equal to -8/7? False Which is greater: -64 or -13? -13 Is -5324 at most as big as -5324? True Is -17 less than or equal to -9? True Is -119 <= 0? True Is 115 equal to 113? False Are -1164 and -1166 non-equal? True Is -439 less than -438? True Is 509/3 less than or equal to 171? True Is -5530 at least as big as -5531? True Is -158 at least -159? True Is -35/32 >= 0? False Is 51 >= -17? True Which is smaller: -20 or 3/8? -20 Which is smaller: 2 or -0.5? -0.5 Is 41.3 greater than or equal to -1? True Are -1.1 and -2/341 unequal? True Is -1 < 2/27301? True Which is greater: 10.1 or -5? 10.1 Is 37 > 40? False Is -0.1 less than 0.747? True Are 23 and 117/5 nonequal? True Is -3/1097 >= 1? False Is 11/15 < 0? False Is -1375 != -1? True Which is greater: 1 or -1/39418? 1 Is 8/151 equal to 0? False Is 117/58 at least 2? True Is 0.3 >= -13.24? True Which is bigger: 35/34 or 2? 2 Which is greater: -0.8 or -2301? -0.8 Which is smaller: -1 or -3/12287? -1 Which is smaller: -2379/16 or -150? -150 Which is smaller: 5444 or 1/4? 1/4 Which is smaller: 4134 or 4133? 4133 Is -50 less than or equal to -205/4? False Which is bigger: -184 or -192? -184 Is -371 < -373? False Which is smaller: 176 or 178? 176 Which is greater: 2/5 or 223? 223 Is -2/2151 greater than 0? False Which is smaller: -7 or 2? -7 Which is bigger: 2/14305 or 1? 1 Which is smaller: -7671 or -7670? -7671 Is -0.2 smaller than 105? True Is 6501 smaller than -4? False Do 0.3 and -0.07 have the same value? False Is -1998 at most -2000? False Is -3/25 <= 0.6? True Is 13 at least 21? False Do -43 and 0 have different values? True Is -114 > -115? True Is -1/117 at most 0? True Do -388 and -387 have the same value? False Is -2 at least -50? True Are -151 and -457/3 non-equal? True Which is smaller: 65 or 69? 65 Which is bigger: -2 or -275? -2 Which is smaller: 3/47 or 0? 0 Is 0.0743 > 1? False Which is greater: 2/3 or 0.053? 2/3 Which is smaller: -75 or 9? -75 Is -2/17 equal to -1/487? False Which is smaller: 669 or 671? 669 Is 106 greater than 15/2? True Is -34/773 less than or equal to 1? True Which is greater: 1 or -354? 1 Which is smaller: -3/8 or 0? -3/8 Is 15/22 at least 2? False Is -26 > 21? False Are 8114 and 0.1 unequal? True Is 0.3 greater than or equal to 2/275? True Is 631 <= 626? False Which is smaller: 42 or 39/8? 39/8 Which is smaller: 23 or 16? 16 Which is greater: 0.6 or 0.408? 0.6 Which is greater: -151 or -153? -151 Is 2/3 smaller than 24/509? False Is 2/93 at most -0.11? False Is -0.3 less than or equal to -2/5? False Is -29 equal to 3? False Which is smaller: -4/2579 or -1? -1 Which is greater: 43 or 380/9? 43 Is -20 at least -49? True Which is smaller: 11 or 94/9? 94/9 Is 11/2 at least 31? False Which is bigger: 211 or 1? 211 Is 0 bigger than -41? True Which is bigger: -215 or -216? -215 Which is bigger: -605/24 or -24? -24 Is 1/751 less than -1? False Which is smaller: -89 or 46/5? -89 Which is bigger: 2/23 or -617? 2/23 Which is bigger: 182 or -14? 182 Does -37/188 = 1? False Which is greater: 1 or -10984? 1 Which is smaller: 1.62 or -1/4? -1/4 Which is smaller: -1 or -108/79? -108/79 Which is smaller: -4 or -69? -69 Are 8 and 0.119 non-equal? True Is -1/16 less than or equal to -1? False Is 635 less than or equal to 635? True Which is bigger: 0 or 14/17? 14/17 Which is smaller: -350 or 1? -350 Does -5 = 3109? False Which is smaller: 8803 or 8802? 8802 Is -3391 at least -0.1? False Is -7/198 less than 0? True Which is smaller: 2/5 or 1.69? 2/5 Which is smaller: -103/2 or -52? -52 Is 10 <= 64? True Is 228 at least as big as 3/8? True Which is greater: -559/9 or -63? -559/9 Which is greater: 36.5 or 0? 36.5 Which is smaller: 39 or 48? 39 Which is smaller: 51 or -3? -3 Which is bigger: 3/1351 or 1? 1 Which is smaller: -663 or 16? -663 Is -3/187 bigger than -1? True Which is bigger: -1 or -1/4345? -1/4345 Are 1 and 65/92 non-equal? True Is -0.472 greater than -2/5? False Is 209 <= 212? True Is 694/5 greater than 140? False Does -0.2 = 16193? False Which is bigger: -1312 or -1314? -1312 Is -6 not equal to 93/5? True Which is smaller: 13 or -6/13? -6/13 Is 219 <= 1092/5? False Which is smaller: -2/13 or 2358? -2/13 Which is smaller: -1 or 4/471? -1 Which is greater: -2/1141 or 1? 1 Which is smaller: -885/4 or -0.3? -885/4 Which is smaller: 194 or 1742/9? 1742/9 Which is bigger: 15 or 5? 15 Which is bigger: 0.28962 or 1/4? 0.28962 Is 89 smaller than 99? True Is 0.3 at least 28/25? False Which is smaller: 489 or 380? 380 Is 169 > 170? False Which is bigger: -4139/13 or -317? -317 Are 9948 and 9948 non-equal? False Which is greater: -735 or -2? -2 Is 3/86 at least as big as 7? False Which is smaller: 2/225 or -1? -1 Is 1947 at least 1947? True Which is bigger: 690 or 3? 690 Which is greater: -66/1729 or -1? -66/1729 Which is greater: -1 or 1/2510? 1/2510 Which is smaller: 376 or 371? 371 Which is smaller: -410/7 or -58? -410/7 Which is smaller: -1/7373 or 1? -1/7373 Which is bigger: -1076 or -1082? -1076 Which is smaller: 6450 or 6451? 6450 Which is smaller: -1/14442 or 1? -1/14442 Is -0.82 less than 1? True Is -2491 bigger than -2493? True Is 4662 equal to 4663? False Which is smaller: -2/125403 or -1? -1 Are -0.5 and 82 equal? False Is 1 less than or equal to -8/1789? False Is -89 >= -96? True Are -1196 and -1197 unequal? True Is 0 less than 66/719? True Which is greater: -6322/5 or -1264? -1264 Which is smaller: -177 or 10? -177 Does 107 = 542/5? False Is -20 > -230? True Is -129/248 less than or equal to -2? False Which is smaller: -368/11 or -32? -368/11 Is 42 greater than 11? True Which is greater: 1 or -4/139? 1 Is -13 < -16? False Which is greater: -2/3 or 9.56? 9.56 Which is greater: 1.2 or -0.09? 1.2 Is 10 >= 5? True Is 4/9 less than or equal to 7/24? False Is -57 bigger than -54? False Which is bigger: 12/145 or -1? 12/145 Is 0 < 22/23? True Is 772 >= 772? True Is -12/37 at least as big as 107? False Is -2829 bigger than -4? False Is 138 less than 138? False Is -22 equal to -22? True Is 23 <= 21? False Is -5671 less than 0.1? True Are -754 and -1 unequal? True Which is smaller: 284 or 286? 284 Which is bigger: 16/273 or 1? 1 Which is greater: -32 or -327/10? -32 Which is greater: -386 or -2.1? -2.1 Which is bigger: -600 or -1199/2? -1199/2 Which is bigger: 110 or -4? 110 Which is smaller: 6 or -0.2? -0.2 Is -1570 at least -1574? True Are 374 and 376 equal? False Is 4 less than -1939? False Are 1 and 15/2021 unequal? True Is -1 at most as big as -5/9? True Which is bigger: -9/5 or -3? -9/5 Is 2/7 != -180? True Which is greater: -54 or -60? -54 Is 91 < 91? False Which is smaller: 0.239 or -2/3? -2/3 Which is smaller: 2222 or 6667/3? 2222 Is -49/207 <= 0? True Which is smaller: -15/479 or 1? -15/479 Which is smaller: -24 or 5/4? -24 Which is bigger: -3.1 or -112? -3.1 Which is smaller: 11 or 136/11? 11 Is 46 smaller than 33? False Is -288 at least -291? True Which is smaller: -0.2 or 142? -0.2 Which is smaller: -103 or -104? -104 Does -6 = -4? False Is 5 greater than 272/47? False Which is smaller: -9/484 or 1? -9/484 Is -2929 <= 0.1? True Are -25 and 0.084 unequal? True Is 1.5 at least -154/3? True Which is smaller: -1 or -13/175? -1 Which is bigger: 30/29 or 0? 30/29 Which is smaller: -4/821 or -1? -1 Which is greater: 11146/13 or 856? 11146/13 Is -12 less than -6? True Are 2/373 and 1 non-equal? True Is 102/7 equal to 1? False Which is smaller: 29/6 or 6? 29/6 Is -6/247 less than -1? False Is -2/195 smaller than -0.4? False Does 1 = 3/157? False Which is smaller: -58 or -1? -58 Is 1 equal to 1/557? False Do -2/5 and 322 have the same value? False Which is smaller: -1/5 or 13.96? -1/5 Which is smaller: -36 or 2/29? -36 Which is greater: -794/27 or -30? -794/27 Which is smaller: -2 or -208? -208 Which is smaller: 0 or 25/27? 0 Which is greater: -7.2 or 0.2? 0.2 Do 250/49 and 6 have different values? True Are -272/3 and -90 non-equal? True Are -1 and 4/191 non-equal? True Which is smaller: -371 or -370? -371 Which is smaller: 223/5 or 44? 44 Is -931 not equal to -10235/11? True Which is smaller: 5045 or 5047? 5045 Is 219 smaller than 435/2? False Are -1 and 1/435 nonequal? True Is 417 >= 0? True Is -4707 less than or equal t
{ "pile_set_name": "DM Mathematics" }
(b) 80 (c) -1.6 a Which is the closest to 0? (a) -14 (b) 1/4 (c) 0.3 (d) 1 b Which is the nearest to 1/5? (a) 5 (b) -2/5 (c) -2/9 c Which is the closest to 0.2? (a) -0.1 (b) 2 (c) 0 (d) -17/7 c What is the nearest to 1 in -0.1, 0, 0.6? 0.6 What is the closest to -0.3 in -3, -0.3, -12? -0.3 Which is the closest to -0.1? (a) 2 (b) -18 (c) 4/7 (d) 9 c Which is the closest to -3/4? (a) 2 (b) -0.1 (c) -4 (d) 6 b Which is the nearest to 0? (a) 2 (b) -3 (c) 0.2 (d) -4 c What is the closest to -0.1 in 5, 1/5, -1/3, 33/8? -1/3 Which is the closest to -1/8? (a) 3/7 (b) -1 (c) 0 c Which is the closest to 0? (a) 3/7 (b) -2.51 (c) 3 (d) 0 d Which is the closest to 1? (a) -5 (b) -2 (c) 2676 b What is the nearest to 18 in 0.1, -3, -0.5? 0.1 What is the nearest to 0.2 in 4, -2/809, -0.2? -2/809 What is the nearest to -0.2 in 0.3, 2, -5/4, -7? 0.3 Which is the closest to 0.1? (a) -4 (b) -1/2 (c) 0.401 c What is the nearest to 1 in -6, 15, -4, 1? 1 Which is the nearest to -2/3? (a) 15 (b) 1 (c) 0.3 (d) 3 c Which is the nearest to 0.1? (a) -76 (b) -0.4 (c) 10 b What is the nearest to 3 in 1, -0.1, 2/9, -2? 1 What is the nearest to -9 in 2, -3, 2/9, -0.1? -3 What is the nearest to -1/4 in 1/6, 2/3, -49, 5? 1/6 What is the closest to 3183 in 5, 1, -5, 3? 5 Which is the nearest to -1/119? (a) 2 (b) -2/15 (c) -2/5 b What is the nearest to -3 in 9, 0, 0.4? 0 What is the nearest to 2 in -2/95, 7/15, -4? 7/15 Which is the nearest to 2/3? (a) 19/2 (b) 0.3 (c) 2/7 b Which is the nearest to 0.0375? (a) -1 (b) 3 (c) 1/2 c What is the nearest to -2/5 in 0.1, 4, -13, -4? 0.1 What is the closest to 0.2 in -2/19, -4/9, -0.4? -2/19 What is the nearest to -12 in -0.3, 41, -3? -3 What is the nearest to 0 in 12, 1/5, 4, 1? 1/5 What is the nearest to -1 in -2, 1/7, 2, 3.3? -2 What is the nearest to 0 in -0.9, 1, -130? -0.9 Which is the closest to 22? (a) 0.2 (b) 2 (c) -2/9 b What is the closest to 0 in -1071, -12, 3? 3 What is the nearest to 0 in 258, -1/7, 5, 2? -1/7 What is the closest to 1/2 in -0.169, -2/21, 0.3, -1/3? 0.3 What is the closest to 0.39 in -2/3, 0.3, -1? 0.3 What is the closest to -0.3 in 1/3, 4, 2/7, -1/4? -1/4 What is the nearest to -0.1 in 2, -2, 5, 0.2? 0.2 What is the nearest to 1.04 in 1/4, 1, 3, -3/2? 1 What is the nearest to -1/4 in -0.11, -2, -0.3, 19? -0.3 What is the nearest to -1 in -0.6, 0.4, -0.5, 13? -0.6 What is the closest to 2 in -2, -0.57, -1? -0.57 What is the nearest to 0.1 in -12, 16, -0.15? -0.15 What is the nearest to -3 in -4, -5, -2/9, 1/4? -4 What is the nearest to 2/31 in 2/9, 2/11, 27, 1/8? 1/8 Which is the nearest to -7? (a) 136 (b) 2 (c) 4 b What is the nearest to 25 in 2, 1/10, -12? 2 Which is the closest to 1? (a) 12 (b) 1/5 (c) 2/17 (d) -1/2 b Which is the closest to 1? (a) -0.5 (b) -2 (c) 3/2 (d) -5 c Which is the closest to 205? (a) -2/5 (b) -3/4 (c) -5 (d) 0.3 d What is the closest to 0.1 in -0.7, -2/3, -1, 2? -2/3 Which is the closest to -1/3? (a) 0.8 (b) 1/7 (c) -3 b Which is the nearest to 49? (a) -2/11 (b) -0.8 (c) -0.3 (d) -0.1 d Which is the closest to 0.05? (a) -2 (b) 0.2 (c) 3 (d) -2/21 d Which is the closest to -26? (a) -0.3 (b) 3 (c) -3 c What is the nearest to 3/4 in -0.4, -0.5, -2? -0.4 What is the nearest to 0 in 0.01, 3, 17, -4/3? 0.01 What is the closest to -0.3 in 0, -0.1, -0.8, 13? -0.1 Which is the nearest to -0.2? (a) -0.5 (b) 164 (c) 4 (d) -2 a What is the closest to 0.1 in -1/5, 4, 1482, -5? -1/5 What is the closest to 2/7 in -3/7, -1/3, 1/9, -0.06? 1/9 What is the nearest to 0.1 in 2, -1/4, -1? -1/4 Which is the nearest to -0.1? (a) 0.073 (b) 0.7 (c) 0.2 (d) -1/5 d What is the closest to 2/7 in 5/21, 0.1, -0.4, 1? 5/21 Which is the closest to -1? (a) 0 (b) 0.2 (c) 131.4 a What is the nearest to -0.02 in -1/3, 3/4, 0.14? 0.14 What is the nearest to -21 in -2/11, 6, -1/2? -1/2 Which is the nearest to 0? (a) -5 (b) 13/9 (c) -0.02 c What is the nearest to 1 in 13, -1/8, -1/2? -1/8 What is the closest to 399 in 2/13, -2, 3, 1? 3 What is the nearest to 0.1 in -21, -0.03, -0.05? -0.03 Which is the closest to 1? (a) 0.07 (b) -2 (c) -1 a Which is the nearest to -0.1? (a) 1 (b) -0.5 (c) -29 (d) -0.3 d What is the nearest to -23/4 in -0.4, -3, 0.8? -3 Which is the closest to -0.1? (a) 4/5 (b) 0 (c) 2/3 (d) -0.07 d Which is the nearest to 1/4? (a) 3 (b) -1 (c) 2 (d) 10/11 d What is the nearest to 0.1 in 1, 3, 8? 1 Which is the nearest to -2/3? (a) 3 (b) 0.08 (c) -4 (d) -0.4 d Which is the closest to 1/4? (a) -2/5 (b) 4 (c) -0.02 (d) 10 c What is the nearest to 1 in -0.3, -3, 0.032? 0.032 Which is the closest to 2/3? (a) 3 (b) -1/11 (c) -1/7 (d) -1/9 b What is the nearest to -2/85 in -2, 0.1, -4, 0? 0 Which is the nearest to -1? (a) 4/5 (b) -4 (c) -127 (d) -1/6 d What is the closest to 75 in 0, -1/9, 5? 5 What is the closest to 4/3 in 88/5, 0, 0.3? 0.3 Which is the nearest to -0.1? (a) 1.3 (b) -2 (c) -1 c Which is the nearest to 4? (a) -2 (b) -5 (c) 2/3 c What is the closest to 0.1 in 14, -2/15, 0.3? 0.3 What is the closest to -3/11 in -1/2, -4/7, 6/11, -5? -1/2 Which is the closest to -2? (a) 1/4 (b) -2/3 (c) 0.2 (d) 13 b What is the closest to 1 in -0.4, 0, -0.009? 0 Which is the nearest to 2/7? (a) 11 (b) 32 (c) 3 c What is the closest to 1/4 in -5, 1, -20/7, -0.2? -0.2 What is the closest to 1/3 in -26, 4, -0.1? -0.1 What is the nearest to -0.02 in -0.33, 0.8, 3/5? -0.33 Which is the closest to -0.17? (a) 29 (b) 2/7 (c) 3 b What is the nearest to -2/7 in 0, 0.1, 1, -14? 0 What is the nearest to -1 in 1, 4, 107? 1 What is the nearest to 0.047 in 10, -1, 3, 0.5? 0.5 Which is the closest to 16? (a) -1/27 (b) 3 (c) -1/5 (d) -0.3 b What is the closest to 4 in 5, 2/19, 2/7? 5 What is the nearest to -0.3 in -0.1, 1/2, -6, -14? -0.1 What is the closest to 0.1 in 0.4, 0.2, -80? 0.2 What is the closest to 13.13 in 4, -0.2, -0.4? 4 What is the nearest to -0.1 in 0, 11, -3, 2/9? 0 What is the closest to 0 in 1/4, -0.4, -3, -256? 1/4 What is the nearest to 1/2 in -5, 2/181, -0.2? 2/181 Which is the nearest to 0? (a) -22 (b) 28 (c) -5 c Which is the closest to 5/11? (a) 1/6 (b) 4 (c) 2 a Which is the nearest to 2/5? (a) 0.033 (b) -2/5 (c) -3/4 (d) -5 a What is the nearest to -2/3 in 3, 20, 0.5? 0.5 Which is the nearest to -0.3? (a) -3 (b) -6 (c) 0.1 (d) 3/2 c Which is the closest to 14? (a) 0.07 (b) 0.1 (c) 2/9 c What is the closest to 2 in -0.4, 5, 2.032? 2.032 What is the nearest to -4 in 0, -2/3, -1/3, -0.1? -2/3 Which is the closest to 0? (a) -0.1 (b) -3/5 (c) -0.094 (d) 1 c What is the nearest to 23 in 0.05, 5, -1? 5 Which is the nearest to -1/2? (a) -0.44 (b) -5 (c) 1/3 (d) -4 a Which is the nearest to -55? (a) 4 (b) 4/11 (c) 0.3 c What is the closest to 2/5 in 3, -0.0197, 2/3? 2/3 Which is the nearest to -0.01? (a) 2/11 (b) -5 (c) -1/6 (d) 280 c Which is the closest to 0.1? (a) -0.5 (b) -4 (c) 15 (d) 3 a Which is the closest to -4? (a) 1.7 (b) -0.5 (c) 1/2 b What is the closest to -1/3 in -1, -5, 2/3, -1/2? -1/2 What is the nearest to -2/5 in 2/11, 3/7, 0.2, 4? 2/11 What is the nearest to 13 in 20, -2, 0.3? 20 Which is the nearest to 2/7? (a) 1/5 (b) -2 (c) -2/3 a Which is the nearest to 2? (a) 0.4 (b) -1/5 (c) 1.3 c What is the closest to -1.5 in -2/15, 20/9, 0.3? -2/15 Which is the closest to -2/3? (a) -0.61 (b) 2 (c) -0.2 a Which is the closest to -3.5? (a) -1/3 (b) 0.5 (c) -1 c Which is the closest to 1? (a) -2/21 (b) -2 (c) -0.03 c What is the closest to 0.1 in -47, -1/5, -2/5, 0.1? 0.1 Which is the closest to -2/13? (a) -5 (b) 3/2 (c) -4 (d) 0 d What is the nearest to -1 in 1/2, 4, -74? 1/2 What is the closest to -4 in 3, -5, 0.5, 29.1? -5 Which is the nearest to 2? (a) 4 (b) 19 (c) 5 (d) -2/5 a Which is the nearest to -0.3? (a) 7 (b) 2 (c) -2/11 (d) 0.1 c What is the nearest to 1.8 in 1, 4, -0.2? 1 Which is the nearest to 4? (a) 5 (b) -0.4 (c) 2/3 a What is the closest to -45 in -6, -0.1, -2? -6 Which is the closest to 10? (a) 0.4 (b) -0.3 (c) 0.3 (d) 4/7 d What is the nearest to 282 in 5, -2/3, 5/3, 0? 5 Which is the nearest to -2/19? (a) -0.2 (b) 5 (c) 5.2 a What is the closest to 4 i
{ "pile_set_name": "DM Mathematics" }
) - 3*j(c). -2*c - 4 Let a(b) = -663*b + 8. Let c(o) = -651*o + 6. What is 2*a(d) - 3*c(d)? 627*d - 2 Let p(d) = 5*d**2 + d - 10. Let j(x) = 28*x**2 + 6*x - 61. Calculate -6*j(v) + 34*p(v). 2*v**2 - 2*v + 26 Let o(q) = 5*q**2 - 30*q - 81. Let x(s) = -14*s**2 + 86*s + 244. What is -17*o(u) - 6*x(u)? -u**2 - 6*u - 87 Suppose -5*s = -3*s + 2. Let b(u) = u. Let f(h) be the third derivative of -11*h**4/24 + h**3/6 + 8*h**2 - 3*h. Give s*f(m) - 5*b(m). 6*m - 1 Let n(h) = h**2 + 66*h + 1. Let c(w) = 2*w**2 + 196*w + 3. Give 4*c(a) - 13*n(a). -5*a**2 - 74*a - 1 Let h(l) = l + 1. Let o = -1877 + 1876. Let n(u) = 10*u + 18. Calculate o*n(b) + 8*h(b). -2*b - 10 Let n(x) = -60*x**3 + 35*x**2 - 12*x + 12*x. Let u be 70/(-4)*(-6 - -4). Let i(f) = -157100*f**3 + 78551*f**3 + 78554*f**3 - 3*f**2. Give u*i(s) + 3*n(s). -5*s**3 Let t(w) = w**2 - 250*w + 695*w - 223*w - 224*w - 8. Let a(m) = m**2 - 3*m - 9. Calculate -6*a(r) + 7*t(r). r**2 + 4*r - 2 Let f(i) = i**2 + i - 7. Let a(z) = -307*z**2 + 5*z - 30. What is -a(m) + 5*f(m)? 312*m**2 - 5 Let p be (-179552)/(-18) + 2/(-3*6). Let l(r) = -2 + 3*r**2 - 9974*r + p*r - r**2 + 0*r**2. Let d(f) = -f**2 - f + 1. What is -6*d(j) - 2*l(j)? 2*j**2 + 4*j - 2 Let d(i) = 4*i + 6. Let t(g) = 19*g + 26. Let v(c) = 4*d(c) - t(c). Let s(n) = n**2 - 16*n - 11. Determine -2*s(l) + 11*v(l). -2*l**2 - l Let u be -9 + (-66)/(-11) - (3 + -13)*1. Let p(w) = -2*w + 5. Let g(l) = -3*l + 10. Determine u*p(j) - 4*g(j). -2*j - 5 Let f(m) = -9466*m**2 + 2*m + 216. Let x(k) = -9467*k**2 + 2*k + 189. Calculate 7*f(g) - 8*x(g). 9474*g**2 - 2*g Let t(w) = w**2 + w + 6. Let p be t(0). Let f(r) = -4 - 2 - 5*r**2 + 4*r**2 + 0. Let v be 39/(-156)*(-10 - 2). Let x(k) = 3. What is p*x(d) + v*f(d)? -3*d**2 Let z(l) = 6*l**3 - 17*l**2 + 30*l + 26. Let c(g) = -2*g**3 + 6*g**2 - 10*g - 9. Give 17*c(t) + 6*z(t). 2*t**3 + 10*t + 3 Let d(y) = 63*y**3 + 5. Let m(z) = -725*z**3 - 58. Let l be 2 + -7 + (0/(-17))/(-2 + 5). Determine l*m(n) - 58*d(n). -29*n**3 Let c(o) = -7*o + 12. Let v(t) = -t + 2. Let q(k) = -c(k) + 6*v(k). Let g be -10 - -8 - (0 - 5). Let r(f) = 3*f + 10*f - g*f - 4*f. What is 21*q(x) - 4*r(x)? -3*x Let s(j) = -10. Let p(i) = i - 21. Suppose 2*t - 12 = 3*t - 3*b, -3*b + 15 = 0. Suppose -t*c - 7 + 13 = 0. Give c*p(a) - 5*s(a). 2*a + 8 Let c(d) = -d**2. Let n(s) be the second derivative of -s**5/20 - s**4/4 + 6853*s. Let x be (-12)/(-16) + 86/(-8). Give x*c(t) + 2*n(t). -2*t**3 + 4*t**2 Let h(o) = -9*o**2 + 20*o. Let d(x) = 14*x**2 - 30*x. Suppose 256 = 405*j - 373*j. Give j*h(c) + 5*d(c). -2*c**2 + 10*c Let o(h) = -1. Let a = 3735 - 3736. Let f(k) = -4*k**2 + k - 1. Give a*o(g) + f(g). -4*g**2 + g Let z(l) = -456*l**2 + 8*l - 1. Let a(w) = 455*w**2 - 6*w + 1. Determine 6*a(c) + 5*z(c). 450*c**2 + 4*c + 1 Let m(h) = -5 - 12 + 10*h - 1. Suppose -2*l = 4*u - 20, -71*l + 5*u = -67*l - 53. Let y(c) = -4*c + 7. Give l*y(x) + 5*m(x). 2*x - 6 Let r(q) = -89*q**2 - 16*q + 3. Let w(l) = 45*l**2 + 7*l - 1. Calculate 6*r(g) + 14*w(g). 96*g**2 + 2*g + 4 Let t(h) = -2*h + 17. Let q(u) = -4*u - 6 + 0 + 5*u. Suppose 320 = -1568*i + 1608*i. Give i*q(o) + 3*t(o). 2*o + 3 Let k(y) be the third derivative of -13*y**6/120 + 3578*y**2. Let x(m) = m**3. What is k(f) - 6*x(f)? -19*f**3 Let p(q) = -q**3 + q**2 - 1. Let r(n) be the third derivative of -2*n**6/15 - n**5/15 + 2*n**3/3 + 60*n**2 - 15*n. Give 4*p(u) + r(u). -20*u**3 Suppose 1 - 3 = 2*a. Let j = 844 - 787. Let d(l) = -115*l - 2 + 59*l + j*l. Let m(h) = -1. Give a*d(q) - 2*m(q). -q + 4 Let d = 129 + -145. Let y(n) = -2*n**3 - 5. Let t(i) = i**3 - i**2. Let x be t(0). Let b(q) = -6*q**3 - 23 + x*q**3 + 7. What is d*y(g) + 5*b(g)? 2*g**3 Let t(f) = -175*f**2 - 8*f + 72. Let z(l) = 197*l**2 + 8*l - 72. What is -9*t(k) - 8*z(k)? -k**2 + 8*k - 72 Let o(i) = -63*i**2 + 4*i + 25. Let y(s) = -129*s**2 + 9*s + 54. Give 13*o(p) - 6*y(p). -45*p**2 - 2*p + 1 Let z(h) = -3*h**3 + 2*h**2 - 6*h + 1341. Let u(m) = 11*m**3 - 7*m**2 + 21*m - 4022. Determine 4*u(s) + 14*z(s). 2*s**3 + 2686 Let b(g) = 9707*g**2 + 7*g + 7. Let k(n) = 4508898*n**2 + 3252*n + 3252. What is 3252*b(x) - 7*k(x)? 4878*x**2 Let x(n) = -5*n**2 + 148*n - 94. Let y be x(29). Let t(u) = 102*u + 7. Let r(s) = 51*s + 3. Calculate y*r(v) + 3*t(v). -51*v Let c(m) = -16*m + 10. Let x(n) = 11*n - 7. Let z be (-117)/(-65)*20/12. Suppose z*j + 5*g = -40, 4*j - 24*g + 35 = -27*g. Calculate j*c(d) - 7*x(d). 3*d - 1 Let s(o) = -2*o**3 + 1. Let c(d) = -6*d**3 + 143*d**2 - 2. Give c(i) + 2*s(i). -10*i**3 + 143*i**2 Let u(r) = -8*r**3 - 1. Let h(b) = 9*b**3 + 1. Let k be -3 + 0 - (100/60 - 64/6). Calculate k*u(v) + 5*h(v). -3*v**3 - 1 Let a be -1 + -2 + (-66 - -65)/(-1 + 2). Let n(z) = 5*z - 2. Let h(i) = -4*i + 1. Give a*h(p) - 3*n(p). p + 2 Let s(o) = -37*o**2 - 9. Let a(l) = -6*l**2 + 212*l - 79. Let j be a(35). Let c(y) = -9*y**2 - 2. Suppose 6*z - 5*z = 2. Give j*c(f) + z*s(f). 7*f**2 Let q(w) = 16*w + 21. Let n = 81/55 - 107/110. Let g(c) be the second derivative of 0 - 5*c - n*c**3 - 2*c**2. Calculate -11*g(h) - 2*q(h). h + 2 Let c(x) = -188*x - 34. Let o(r) = 17*r + 3. Let w = -1256 - -1262. Give w*c(u) + 68*o(u). 28*u Let u(p) = 2*p**3 - 5*p**2 + 5*p - 7. Let n(v) = v**3 + v**2 - v + 1. Let b = 4709 - 4708. Give b*u(r) + 5*n(r). 7*r**3 - 2 Suppose 0 = 3*s + 93*v - 94*v + 1, 5*s = -v - 7. Let t(a) = 4*a - 5. Let w(u) = 5. Let i(d) = 24. Let m(p) = i(p) - 5*w(p). Determine s*t(l) + 6*m(l). -4*l - 1 Let m(q) = 3039*q**2 - 9*q - 20. Let r(c) = -3036*c**2 + 11*c + 25. What is -5*m(v) - 4*r(v)? -3051*v**2 + v Let w(u) = -6994*u - 3228. Let z(l) = -5*l - 3. Calculate -5*w(y) + 5380*z(y). 8070*y Let a(i) = 1558*i**3 - 51*i - 50*i - 2*i**2 - 1559*i**3 - 52*i + 159*i. Let m(f) = -f**3 - 2*f**2 + 5*f. Let p be -3*(2 - (-2 - -3)). Give p*a(z) + 4*m(z). -z**3 - 2*z**2 + 2*z Let w(i) = 17*i - 6. Let c(b) = 130*b - 23*b + 47*b - 55. Calculate 6*c(v) - 55*w(v). -11*v Let i(x) = 544*x**2 + 19*x + 13. Let c(a) = 4351*a**2 + 149*a + 102. What is 6*c(u) - 47*i(u)? 538*u**2 + u + 1 Let l(s) = -11901*s**2 + 20*s - 17. Let h(c) = 3967*c**2 - 7*c + 6. Determine -17*h(f) - 6*l(f). 3967*f**2 - f Suppose 625*q - 624*q = 3. Let h(j) = 57 + 0*j**2 - 46 + 3*j**2 - q*j**2 - j**3. Let z(k) = 2. Let g = -6 + 10. What is g*h(x) - 22*z(x)? -4*x**3 Let v(h) = -19*h - 26. Let g(o) = -6*o - 17. Calculate -8*g(j) + 3*v(j). -9*j + 58 Let u(g) = 29*g - 98. Let z be u(4). Let l be 0 + (z/15)/((-12)/(-20)). Let m(n) = n**3 + n**2 + n + 1. Let i(b) = b**3 - b**2 - 2*b - 2. Give l*m(v) + i(v). 3*v**3 + v**2 Let j(d) = 183*d + 184*d - 1 + 185*d + 177*d - 730*d. Let y(p) = 2*p + 1. Give 4*j(l) + 6*y(l). 8*l + 2 Let j(a) = 26*a - 462. Let d(r) = 23*r - 465. What is -9*d(x) + 8*j(x)? x + 489 Let h(x) be the first derivative of 3*x**4/4 + 4*x**2 - 6*x - 6966. Let w(b) = -2*b**3 - 9*b + 7. Give 7*h(t) + 6*w(t). 9*t**3 + 2*t Let y(j) = -4543*j**2 + j + 2291*j**2 + 2256*j**2 + 3. Let r(u) = -4*u**2 - 2*u - 4. Give 4*r(l) + 5*y(l). 4*l**2 - 3*l - 1 Let q(j) = -12*j + 2. Let b(p) = -4*p. Let v(s) = 3*s. Suppose -42 = -12*a + 6. Let u(z) = a*b(z) + 5*v(z). Calculate 2*q(x) - 22*u(x). -2*x + 4 Let h(m) be the third derivative of -m**4/3 + m**3 + 13168*m**2. Let l(j) = j - 1. Suppose -4*p = -2*s - 30, 0 = -0*p - 2*p - s + 9. Calculate p*l(v) + h(v). -2*v Let s(w) = 13*w**3 - 91*w**2 + 7*w - 11. Let y(t) = 6*t**3 - 45*t**2 + 3*t - 5. Determine 4*s(n) - 9*y(n). -2*n**3 + 41*n**2 + n + 1 Let l(u) = -819*u + 13110. Let g be l(16). Let w(h) = 5*h + 5. Let v(r) = 4*r + 5. Let i(b) = -3*v(b) + 4*w(b). Let m(n) = -7*n - 6. Calculate g*i(p) + 5*m(p). 13*p Let q be (-99 - -85) + (9 - 0). Let t(u) = 9*u**3 + 10*u**2 + 7*u + 5. Let m(a) = -6*a**3 - 7*a**2 - 5*a - 3. Determine q*t(y) - 7*m(y). -3*y**3 - y**2 - 4 Let f(z) = 5*z**3 + 4*z**2 - 21*z. Let g(m) = 14*m**3 + 11*m**2 - 62*m. Suppose 698*s + 23 = 3*y + 694*s, -2*s - 7 = -3*y. Determine y*g(b) + 8*f(b). -2*b**3 - b**2 + 18*b Let h(m) be the second derivative of 9/2*m**2 - 101*m + 3/4*m**4 - 1/2*m**5 - 11/6*m**3 + 0. Let q(x) = -5*x**3 + 5*x**2 - 6*x + 5. Determine -6*h(a) + 11*q(a). 5*a**3 + a**2 + 1 Suppose -22 = -10*r + 8. Let f(l) = 19*l**3 - 13*l**r - 7*l - 8*l**3. Let k(q) = -q**3 - 2*q. Calculate 2*f(a) - 7*k(a). 3*a**3 Let u(v) = 4*v - 1. Let o(q) = 6*q**2 - 5
{ "pile_set_name": "DM Mathematics" }
1). Let b(g) = 10*g + 17. What are the prime factors of b(i)? 167 Suppose 0 = p - l - 4, -4*p - 8 = -5*p + 5*l. Suppose -d + 16 = t, -p*t + 6*t - 76 = -5*d. What are the prime factors of (-72)/d*(-21)/6? 2, 3 Suppose 1635 = 8*h - 5*h. List the prime factors of h. 5, 109 Suppose 2*g - 3703 = -i + 998, -2*i = -10. What are the prime factors of g? 2, 587 Let w = 11 - -374. What are the prime factors of w? 5, 7, 11 Let f(t) = 2*t + 16. Let j be f(-19). Let i = j + 208. List the prime factors of i/6 + (0 - -3). 2, 17 Let w = -202 - -357. Let t = w - 13. List the prime factors of t. 2, 71 Suppose 88*m + 3528 = 106*m. List the prime factors of m. 2, 7 Suppose -5*i + 169 + 1496 = -5*l, -5*l + 1665 = 5*i. What are the prime factors of i? 3, 37 Let r(p) be the third derivative of -p**5/60 - p**4/24 - p**3/6 - 6*p**2. Let k be r(0). List the prime factors of k/(-2) + (-558)/(-12). 47 Let o be (-10)/(-3) + 4/(-12). Let g(h) = -10 - 3*h + h**3 + 7*h + 2*h - 11*h**2 - o*h. What are the prime factors of g(11)? 23 Let p(j) = 3*j - 28. Let x be p(12). Let c = x + -5. List the prime factors of c. 3 Let d = -242 - -1247. List the prime factors of d. 3, 5, 67 Let o(a) = -a**3 + 23*a**2 - 4*a - 63. List the prime factors of o(11). 5, 269 List the prime factors of -1 + 0 + 3887 + 5. 3, 1297 Let a = -130 + 183. Suppose 3*b - 183 = -2*u, -b + 41 + a = u. What are the prime factors of u? 3, 11 Suppose -1 = -2*d + 3. Let n be d/11 + (-15930)/(-110). Suppose -3*r + 119 = r + 5*u, 5*r = -5*u + n. List the prime factors of r. 2, 13 Let y = -268 - -428. Let g = 19 + y. List the prime factors of g. 179 Let b(j) = j**3 + 9*j**2 - 3*j - 5. Let y(d) = d + 19. Let w be y(-10). Suppose i + 0*i + w = 0. List the prime factors of b(i). 2, 11 Suppose -y - 1 = a, 5*y - 3*y + 2 = -3*a. Let c(s) = 22*s**2 + s + 23. Let l(k) = -5*k**2 - 6. Let d(n) = -2*c(n) - 9*l(n). List the prime factors of d(a). 2 Let s = -27 + 71. Let z = 13 + s. List the prime factors of z. 3, 19 Let u be (2/((-8)/6))/((-6)/16). Suppose -2*t + 221 = 3*o + 62, -5*t + u*o + 432 = 0. List the prime factors of t. 2, 3, 7 Suppose 498 - 2175 = -2*p + 5*o, -3*o = -5*p + 4164. What are the prime factors of p? 3, 277 Suppose -14 = -2*f - 4*h, -3*f - 4*h = -5*f - 2. List the prime factors of (-166)/(-6) - (f/(-9) - 0). 2, 7 Let q(z) = -z**2 - 4. Let w be q(-4). Let m = w + 22. List the prime factors of m. 2 Let s(t) = 24*t + 90. What are the prime factors of s(11)? 2, 3, 59 Suppose 29*n = 20*n + 6372. What are the prime factors of n? 2, 3, 59 Let q = -5667 + 9074. What are the prime factors of q? 3407 Suppose -3*k - 254821 = -62*k. What are the prime factors of k? 7, 617 Suppose 5*p = 4*v - 10, -4*v - 3*p + 12 + 14 = 0. Let d(j) = v*j**3 - 4*j**3 - 10*j**2 + 0*j - 15 + 5*j. List the prime factors of d(10). 5, 7 Let c be -2*(-3)/6 + 2. Suppose -2*o + 15 = 3*o - 4*i, o - c = 3*i. Suppose r - o*k - 36 = 0, r + 3*k - 12 = -0*k. What are the prime factors of r? 2, 3 Let g be -6 + 10 - (15 + -1). Let i be 8/g + 80/100. List the prime factors of (i - -36)*30/45. 2, 3 Let y(h) = 2*h**2 - 15*h - 454. List the prime factors of y(60). 2, 37, 79 Suppose -2*d - 3*d + 4*c + 21 = 0, 3*d - 16 = -c. Suppose d*p = 4*p + 9. What are the prime factors of p? 3 Let f be ((-16)/20)/(4/50). List the prime factors of 3 + f*5/(-2). 2, 7 Let k(s) = s**3 - 2*s**2 + 9*s + 3 - 4 - 5*s**2 + 0. Let z be k(7). Let n = z - 23. List the prime factors of n. 3, 13 Let s(z) = z**3 + 14*z**2 - 16*z - 13. Let c be s(-15). Suppose 0 = -v - 2*u - 4, c*u = -3*v - 4 - 8. List the prime factors of (9/v)/((-12)/32). 2, 3 Suppose -4*d + 5*q = 9, 2*q - 20 = -3*d + 2. Suppose -d*s + 184 = -2*s. Suppose 6*p - 316 = s. What are the prime factors of p? 2, 17 Let f(l) be the third derivative of -l**5/60 + 23*l**3/6 + 6*l**2. Let j(o) = o**2 + 2*o - 3. Let x be j(-3). What are the prime factors of f(x)? 23 Let b(w) = -w**2 - 3*w - 1. Let d be b(-2). Let v be 3/d + 2 - 3. Suppose 2*g - 4*g + 12 = h, 0 = -v*h - 4. What are the prime factors of g? 7 Suppose 7*c - 30 = 8*c. Let d = 24 + c. Let l(j) = j**3 + 7*j**2 + 3*j + 6. List the prime factors of l(d). 2, 3 Let b be -2*(4/(-4))/1. Suppose 0*u + 5*d = -u - 49, -71 = b*u + d. What are the prime factors of (-922)/u + 2/(-17)? 3 Let c = 334 - 238. Suppose -j + 2*v + c = 0, -6*j + 5*v - 233 = -9*j. List the prime factors of j. 2, 43 Let i(j) = -38*j - 6. Let w be i(-4). Suppose 4*o - u = 197, 2*o - 3*u - w + 55 = 0. Suppose 0 = -5*g + o + 20. What are the prime factors of g? 2, 7 Let f be -919 + (-2 + 2 - 18/(-6)). What are the prime factors of (-6)/9 + f/(-6)? 2, 19 Let z(d) = -2*d**2 + d + 1. Let h(a) = 6*a**2 - 2*a - 3. Let x(l) = -2*h(l) - 7*z(l). Let v be x(3). Suppose -4*y - 20 = -v*y. What are the prime factors of y? 5 Suppose 3*f + f + 24 = 0. List the prime factors of (2 - 154)*3/f. 2, 19 Suppose -51428 = -21*r - 2*r. What are the prime factors of r? 2, 13, 43 Let v = 68 + -65. Suppose w = -v*w + 72. What are the prime factors of w? 2, 3 Let f(z) = 13*z + 4. Let s be f(5). Suppose 3*m - 4*i + 91 = -s, 2*m = -2*i - 88. Let v = -28 - m. List the prime factors of v. 2, 5 List the prime factors of ((-6)/(-4))/(15/24690). 3, 823 Let r(s) = -s**3 + 4*s**2 - 2*s - 2. Let w be r(2). Let x be 2*w/(8/10). Suppose 3*d = -2*d - x*i + 75, 0 = -2*d + i + 36. List the prime factors of d. 17 Let t(a) = -253*a**2 + 55*a - 55. Let b(d) = 14*d**2 - 3*d + 3. Let r(o) = 55*b(o) + 3*t(o). What are the prime factors of r(-1)? 11 Let k(u) = -u**3 + 17*u**2 - 11*u + 53. What are the prime factors of k(15)? 2, 13 Suppose -19*k + 12824 = -22117. List the prime factors of k. 3, 613 Let w = -18 + 13. Let p(z) = -16 + 4*z + z**2 - 13 + 48 - 15. List the prime factors of p(w). 3 Let m = 55 - -10. Let l = -35 + m. What are the prime factors of l? 2, 3, 5 Let t be 46 + 0 + -3*1. Let j = t + 121. List the prime factors of j. 2, 41 Suppose 0 = -9*t + 7*t + 2*x + 2108, 4*x + 1063 = t. What are the prime factors of t? 1051 Let l(f) = f**3 + 5*f**2 - 7*f - 4. Let z be l(-6). Suppose -20 = -5*p, -5*j - 2*p + 16 = z*p. Suppose -2*t + 6 + 2 = j. What are the prime factors of t? 2 Let s be (-81)/(-15) - (4/10)/1. Suppose 475 = s*o + 5*y, 0 = -3*y + y. List the prime factors of o. 5, 19 Let z = 1229 - 906. List the prime factors of z. 17, 19 Suppose 3*s = 6*s - 144. Let h = s + 42. List the prime factors of h. 2, 3, 5 Let k be (-52)/(-14) - ((-16)/(-14))/(-4). List the prime factors of ((-15)/7)/((-12)/21)*k. 3, 5 Let p(d) be the second derivative of -1/6*d**3 + 0 + 1/20*d**5 + d + 10*d**2 + 0*d**4. What are the prime factors of p(0)? 2, 5 Let f(y) = 72*y - 38. What are the prime factors of f(8)? 2, 269 Let v be (-11 - -5)/(1/1). Let a be v/9 + 4/6. Suppose -5*o + a*o + 3 = b, 49 = 3*b - 5*o. List the prime factors of b. 13 Suppose -2*d + 4 = 0, 3*r - 3*d = d + 11767. List the prime factors of r. 5, 157 Let z = -539 - -846. List the prime factors of z. 307 Let b be 10 + (25/(-1))/5. Suppose n - 71 = b*i, n + i - 4*i - 75 = 0. List the prime factors of n. 3 Let r(q) = -8*q**2 - 2*q + 2. Let y be r(1). Let p be 634/(-10) - y/20. Let o = -32 - p. What are the prime factors of o? 31 List the prime factors of 3 + (-108436)/(-28) + 48/168. 2, 3, 17, 19 Suppose 0 = 2*d + 5*n + 11 - 44, -2*d - 4*n + 28 = 0. Let q(c) = -c + 0*c**2 - c + c**2 + d*c. What are the prime factors of q(-4)? 2 Suppose 4*t = 3*w - 79, -3*t + 3*w - 98 = 2*t. Let g(o) = -o**2 - 24*o - 60. What are the prime factors of g(t)? 5, 7 Let f(i) = -i**2 + 8*i - 5. Let c be f(7). Suppose -5*k - 51 = c*a + 37, -3*a = -k + 132. Let r = -24 - a. List the prime factors of r. 2, 5 Let z(j) = -1283*j**3 + 9*j + 9. What are the prime factors of z(-1)? 1283 Let w be (-1)/((2 - -1)/(-3)). Let t be w + (0 - -26) - -3. Suppose -3*v = -5*v + t. List the prime factors of v. 3, 5 What are the prime factors of 772*66/99*(-3)/(-4)? 2, 193 Suppose 5*r + 1140 = 3*s, -3*s - 422 - 262 = 3*r. Let k = -128 - r. What are the prime factors of k? 2, 5 Let a(j) = 17*j**2 - j + 1. Let r(d) = -d - 4. Let q be r(-6). List the prime factors of a(q). 67 Let f be (-8 - -13)*2/5. Suppose -5*c + f*q + 562 = 0, 4*c + 0*q = -4*q + 472. What are the prime factors of c? 2, 3, 19 Let u(f) = 2*f - 2. Let r be u(-2). Let c(s) be the third deri
{ "pile_set_name": "DM Mathematics" }
at is the highest common divisor of n and w? 24 Suppose 5*m = -0*o + 3*o + 321, -5*o = -15. Calculate the greatest common divisor of 11 and m. 11 Suppose -h = 5*z - 116, 5*z - 5*h - 15 - 95 = 0. Calculate the greatest common divisor of 207 and z. 23 Let t = -35 - -71. What is the greatest common divisor of 24 and t? 12 Suppose 0 = -3*f + 12, f - 33 = -p + 139. Calculate the greatest common factor of 24 and p. 24 Let p(x) = 10*x**2 + 2*x. Let n be p(-2). What is the greatest common divisor of n and 18? 18 Suppose -31 = -4*t - a, -5*t = 2*a - 0 - 35. Calculate the highest common factor of 1 and t. 1 Let u(o) = o**3 + 8*o**2 + 5*o - 6. Let k(t) = -t**3 - 4*t**2 + 7*t + 3. Let p be k(-5). Let b be u(p). What is the highest common factor of b and 12? 4 Suppose 4*b + 4*w - 4 = 0, 3*w + 8 = 4*b - 3. Suppose -2*x - 2*p + 70 = -68, x - b*p - 72 = 0. What is the greatest common factor of x and 14? 14 Let p(f) = f**2 + 4. Let l be p(0). Suppose l*x - 54 = -j, -3*x + 3*j + j + 31 = 0. What is the highest common factor of x and 65? 13 Suppose 2*i - 13 = 11. What is the highest common divisor of 6 and i? 6 Let y be (2/2 + 36)*-1. Let x = 19 + y. Let d = x - -28. What is the greatest common divisor of d and 70? 10 Let r(y) = -3*y. Let x(v) = 0*v**2 - v**2 + 4*v + 2*v**2. Let t(z) = 2*r(z) + 3*x(z). Let n be t(5). What is the highest common divisor of 15 and n? 15 Let y(c) = -c**3 + 22*c**2 - 2*c + 46. Let a be y(22). What is the greatest common factor of 4 and a? 2 Let p = 79 - 43. What is the greatest common divisor of 12 and p? 12 Suppose 0 = -6*n + 11 + 55. What is the highest common divisor of n and 77? 11 Let b be (-6)/(-8) + 82/8. What is the highest common divisor of 11 and b? 11 Suppose -5*s + 29 = -496. Calculate the greatest common divisor of s and 15. 15 Let m be 18/(-4) - 2/4. Let z be (m + 4)/(2/(-10)). What is the greatest common factor of z and 40? 5 Suppose 5*r - 11 = 4. Suppose r*u - 5*i = -2 + 5, 3*u - 3 = 4*i. Calculate the greatest common divisor of u and 9. 1 Suppose 5*m = -r + 28, 96 = 5*r + 4*m - m. Calculate the highest common factor of r and 9. 9 Let d be (1 + (-32)/(-6))/((-2)/(-6)). What is the greatest common divisor of d and 19? 19 Let c = -19 + 49. Suppose 2*t - 4*p = 30, -2*t + 25 = t - 2*p. Suppose -3*d + t = -31. Calculate the highest common factor of d and c. 6 Let p(u) = -u**2 - 8*u + 12. Let b be p(-7). What is the greatest common factor of 19 and b? 19 Let n(c) = c**2 - 5*c. Let d be n(4). Let b be (d/6)/(6/(-135)). What is the highest common factor of 30 and b? 15 Suppose 0 = z + 10. Let d be (-172)/(-20) - 4/z. What is the greatest common divisor of d and 54? 9 Suppose q + 726 = 4*q. Let b = q - 143. What is the highest common divisor of 9 and b? 9 Let y be ((-12)/66 + (-82)/(-88))*180. What is the highest common divisor of 15 and y? 15 Let f be (-2)/(-6) + 28*(-42)/(-36). What is the greatest common factor of f and 11? 11 Let m = 2 + 3. Let i(p) be the third derivative of -p**5/60 + 7*p**4/24 - 5*p**3/6 + 2*p**2. Let g be i(m). Calculate the greatest common factor of g and 15. 5 Suppose 0 = 3*u + 47 - 212. What is the highest common divisor of u and 22? 11 Let c be -4 + 25 - 6*1/2. What is the highest common divisor of c and 27? 9 Suppose 3*q - 4*y + 7 = 0, 3*q - q = 2*y - 4. Let u be (1/(-2))/(q/24). Suppose 19*x - 69 = 7. Calculate the greatest common divisor of u and x. 4 Suppose 7*v - 40 = 5*v. Let h be (-20)/(v/(-12) - -1). Let d be -2*(-3 - -2) - -4. What is the highest common divisor of d and h? 6 Suppose -12 = -o + 3. Suppose -o = -4*j + 9. What is the greatest common divisor of j and 42? 6 Let v(m) = -m**2 - 13*m - 4. Let s be v(-12). What is the highest common factor of s and 80? 8 Let h = -9 + 3. Let j be (-6)/18 + (-128)/h. Calculate the greatest common factor of j and 105. 21 Suppose 4*v = -8 + 24. What is the greatest common divisor of v and 32? 4 Let a be (-16)/(-12)*6/4. Suppose 3*b - a - 4 = 0. What is the greatest common divisor of 16 and b? 2 Let h(q) = 2*q + 1. Let z be h(6). Let w = 26 + 0. What is the greatest common divisor of z and w? 13 Let j be 56/6*(-15)/(-10). Let l be ((-14)/4)/(1/(-10)). Calculate the greatest common factor of l and j. 7 Let c(l) = l**2 + 4*l + 4. Let k be c(-4). Suppose -k*t - 144 = -2*n - 6*t, -4*n = t - 279. Calculate the greatest common divisor of n and 46. 23 Suppose -5*i - 15 = -s, -71 - 31 = -3*s - 4*i. Calculate the highest common divisor of 6 and s. 6 Let v(f) = 3*f**2 + 7*f + 5. Let r be v(-5). Suppose 0 = -0*j - 3*j + 15. What is the greatest common factor of j and r? 5 Let l be (-1)/((2/(-2))/7). What is the highest common factor of 28 and l? 7 Let k = 24 + -17. Suppose t - z = 40, 0 = 5*t - 3*z + 6*z - 160. Calculate the greatest common divisor of t and k. 7 Let n = -4 + 6. Let k = n - -15. Let x(h) = h**3 + 10*h**2 + 4*h - 11. Let u be x(-9). Calculate the highest common divisor of k and u. 17 Suppose -3*a = -8*a + 15. Suppose 4*f + a*p = -2*p - 1, -3*p = 4*f - 9. Let b be ((-9)/f)/(2/(-4)). What is the highest common divisor of b and 3? 3 Let v = -26 + 37. Let f = 11 + 8. Let o = f + -8. Calculate the greatest common divisor of v and o. 11 Let u be -1*11*-1 + 2. Suppose -y - 2*y + 48 = o, 3*y = 9. Suppose 0 = -3*b + 6*b - o. Calculate the highest common divisor of b and u. 13 Let d(z) = 39*z - 3. Suppose -2*n - 2*n = 0. Suppose 3*o - 16 + 4 = n. Let y be d(o). What is the greatest common factor of 17 and y? 17 Let n = 146 - 91. Suppose 0 = 6*d - 3*d - 6. Let r be (-450)/(-42) - d/(-7). Calculate the highest common divisor of n and r. 11 Let w(m) = m**3 + 8*m**2 - m - 4. Let n be w(-8). Let s be 2*(0 + -1) + 7. Suppose -6*x + s*x = -4. Calculate the highest common divisor of n and x. 4 Let w be (-2)/(-6)*(8 + (-2 - 3)). Calculate the greatest common divisor of 7 and w. 1 Let r be 1*-1 + -7 + 11. Suppose -a = -r*a + 24. Calculate the greatest common divisor of a and 24. 12 Suppose 0 = -2*x + m + 59, 4*x - 160 = -3*m - 27. Calculate the highest common factor of 31 and x. 31 Let s = 3 - -2. Let t(g) = 1 - 2 - s*g + 15*g - 1. Let b be t(9). What is the highest common divisor of b and 8? 8 Let c = 91 - 86. Let k(q) = -4*q**2 + q**3 - 3*q**2 + 7 + 7*q - 3*q. Let n be k(7). Calculate the highest common divisor of c and n. 5 Let s(k) = k**3 + 11*k**2 + 11*k + 15. Let j be s(-10). What is the highest common factor of 10 and j? 5 Suppose 4*z = -41 + 189. Suppose 0 = d - z - 44. Let p(a) = -3*a - 6. Let s be p(-5). What is the highest common divisor of d and s? 9 Let i(d) = -11*d - 10. Let p be i(-2). What is the highest common factor of p and 3? 3 Suppose 3*j + 2*q = 63, 2*j = 3*j + 5*q - 21. Suppose 77 + j = f. What is the greatest common divisor of 14 and f? 14 Suppose -10*l + 12*l - 4 = 0. Suppose -3*t + 20 = l*t. What is the highest common factor of 1 and t? 1 Let m be (-2)/9 + 28/(-36). Let l be 1 - m - -1 - 2. What is the greatest common factor of l and 1? 1 Let m = 93 - 48. Suppose -v + m = 2*v + 5*f, v = -3*f + 19. Calculate the highest common divisor of v and 10. 10 Let r = 2 + 10. Suppose c - r = -c. What is the highest common factor of 66 and c? 6 Let n(c) be the second derivative of c**4/12 + c**3 - 3*c. Let s be n(5). Calculate the highest common factor of s and 5. 5 Suppose 4*f = 16, -4*z + 52 = 2*f - 6*f. Suppose r - z = 7. Let v = -24 - -60. Calculate the highest common factor of v and r. 12 Suppose -3*h + 48 = -q + 4*q, 3*q + 80 = 5*h. What is the greatest common factor of h and 64? 16 Let t(d) = 3*d + 3. Let m be t(-3). Let w be m/(-33) + (-130)/(-11). Suppose 2*z - 16 = -2*z. What is the highest common factor of z and w? 4 Suppose 3*m - 439 = -49. Suppose n - m = -n. Let a = n - -7. What is the greatest common factor of a and 9? 9 Let b be (-1 + -1)*1 + 50. Let v = 32 - 20. What is the greatest common divisor of b and v? 12 Let c(n) = -n**3 - 15*n**2 - 18*n - 2. Let x be c(-14). Suppose 0 = 3*u - 24 - x. What is the greatest common factor of 39 and u? 13 Let x be (-2)/(-3)*(-39)/(-2). Suppose -y - 4*y + 130 = 0. Calculate the highest common factor of y and x. 13 Let q = -10 + 20. Let c(u) = 14*u**2 + 2*u - 1. Let t be c(-4). Let v = t + -105. Calculate the highest common factor of q and v. 10 Let h(c) = c**3 - 17*c**2 - 17*c - 8. Let b be h(18).
{ "pile_set_name": "DM Mathematics" }
.4. Let k be (-2 - (1296/165)/(-4))*-5. Let x = 0.01 + 2.99. Which is the third smallest value? (a) s (b) k (c) x c Suppose 0 = -8*m + 9*m - 27. Let q be 134/72 - m/36. What is the second smallest value in -2, 0.5, q? 0.5 Let r = -1.11 + 73.11. Let s = -72.02 + r. What is the fourth smallest value in 0.1, 0.5, 3/5, s? 3/5 Let m = 1645 + -1645.3. Let g = -0.05 - 0.05. Which is the biggest value? (a) 1 (b) g (c) m (d) 2/25 a Let q be 69/3 + 0/(-4) + -2. Suppose -6*m = 3 + q. Which is the third biggest value? (a) 0.4 (b) m (c) -1 (d) 5 c Let y be 4/6*2760/(-16). Let g = y + 194. Which is the second smallest value? (a) 0.5 (b) -4/7 (c) g a Let u be 15/(-6) + -1 + 1. Let i = 13 + -8. Suppose -6 - 4 = -i*j. Which is the third biggest value? (a) -4 (b) u (c) j a Let u = 1.65 + -1.69. What is the third biggest value in 3, u, -5/4? -5/4 Let f be 21/9 + (-10)/(-15). What is the third smallest value in 4/7, 2/7, -4, f? 4/7 Let y = -14 + 10. Let v be 12/((-100)/(-12) - 1). Let h = v + -119/66. Which is the second biggest value? (a) -0.2 (b) h (c) y a Let s = 60 + -60.37. Let t = 0.03 - s. Which is the smallest value? (a) -0.02 (b) t (c) -2/3 c Let g be (5/10)/((-4)/16). What is the third biggest value in g, -70, 1? -70 Let f = -18.6 + 18.9. Let i = -695 + 34056/49. What is the biggest value in 0, f, i? f Let y = -3.04 + 1.04. Let g = 9.5 - 10. Which is the second biggest value? (a) 1/2 (b) y (c) g c Let r be 1 - 15/90*10*1. Which is the second smallest value? (a) -2 (b) r (c) -57 a Let n = -1377 + 5511/4. What is the third biggest value in -1/8, n, -1.45? -1.45 Let h(t) = -t**3 + 6*t**2 + 7*t - 3. Let w be h(7). Suppose 84 = -3*f + 78. Which is the third biggest value? (a) -5 (b) -0.1 (c) w (d) f c Let q = 402.62 - 402. Let l = -6.88 - -7. Let s = q - l. Which is the smallest value? (a) -3 (b) s (c) 0.1 a Let s = -1675 + 1672. Let o(y) = -y**3 - 7*y**2 - 7*y - 4. Let x be o(-6). Which is the third smallest value? (a) x (b) s (c) 0.4 a Let a = -723/7 + 103. What is the biggest value in a, 2.3, 1/4, -2? 2.3 Let z = -878 - -873. What is the fourth biggest value in 5, 0.1, z, 3? z Let l = 14 + -9. What is the biggest value in l, 0.03, -4, -8? l Let g(j) = -2*j**3 - j**2 + 3*j - 4. Suppose -4*l - 2 = -10. Let x be g(l). Let p be (-4)/4 - 10/x. Which is the smallest value? (a) p (b) -1/8 (c) -5/6 c Suppose -9*z + 8 = -5*z. Let u be (3/(-11))/(54/360) + z. What is the smallest value in -0.3, -2/11, u, 0? -0.3 Let p = -446 + 443. Which is the smallest value? (a) -4/3 (b) 3 (c) p c Let h = 0.21 - 1.04. Let j = 4.17 - h. Let s = -2.1 + 0.1. Which is the smallest value? (a) 2/11 (b) j (c) s c Let w = -10.2 - -9. Let g = w - -1. Let v = -141 + 136. Which is the smallest value? (a) v (b) -1/3 (c) g a Suppose 2*x + 3*w - 92 = 0, -4*w + 8*w = -2*x + 92. Let j = 50 - x. Which is the third biggest value? (a) 3 (b) -3 (c) -1.4 (d) j c Let z(j) = -j**3 - 4*j**2 + 5*j + 1. Let p be z(-5). Let l = 2.4 + 2.6. Let o = l - 4.7. Which is the smallest value? (a) o (b) 9 (c) p a Let y = -4.8 + 4.764. Let w = 4.964 - y. Which is the second biggest value? (a) 0 (b) -3/5 (c) w a Let r be ((-42)/(-7) + -7)*3/12. What is the biggest value in -4/9, r, -3, 2.7? 2.7 Suppose 0 = f - 6*f + 15. Let d(h) = 4*h**2 - 6*h + h**3 - 3 + 0*h + 2 - 3. Let v be d(-5). Which is the smallest value? (a) v (b) f (c) 0 c Let p = 20.53 - 0.73. Let w = -20 + p. Which is the second smallest value? (a) -2/3 (b) w (c) 0.1 b Let v = 2.23 + -43.23. Which is the second biggest value? (a) 3/4 (b) v (c) 4 a Let g = 1/22 - 13/44. Let d = -67867/1404 + -17/2457. Let o = 193/4 + d. What is the second smallest value in o, 2/3, g? o Let x = -78 - -34. Let q = 44.5 + x. Which is the second smallest value? (a) 1/6 (b) -8 (c) q a Let j = 1.323 + -107.323. What is the second smallest value in 2/7, -2/11, j, 2? -2/11 Let m = -0.08 - -0.38. Let k = 0.022 + -25.022. Let p = -22 - k. What is the biggest value in p, m, 0.5? p Let q be (-12)/(-7) + (184/56 - 3). Which is the third biggest value? (a) -4 (b) q (c) -0.3 (d) 0.3 c Let u = -2328 + 2325. What is the fourth biggest value in u, -1, 2/121, 0.1? u Let q = -0.258 + 0.248. Let w = -6 - -11. Suppose 5*k = 2*u - 27, -3*u + w*k + 14 = -14. Which is the third biggest value? (a) -3 (b) u (c) q a Let a = -9.3 + 14.6. Let s = a - 5.9. What is the third smallest value in -2, 2/5, s, 2/7? 2/7 Let t(l) = -4*l**2 + 32*l + 4. Let w be t(8). Which is the second biggest value? (a) w (b) 0.4 (c) -38 b Let m be (-24)/15 - (-42)/70. What is the smallest value in 21, m, -1/5, 0? m Let m = 11.14 + -11. Let f = 0.04 - 0.1. Let o = m - f. What is the second biggest value in 0.4, 5, o? 0.4 Let f = 327/4 - 985/12. Which is the fourth biggest value? (a) 1 (b) f (c) 2 (d) -7 d Let k be 40/(-100) + 141/(-60). What is the fourth biggest value in -3/8, k, 1, -0.1? k Let m = -2.317 - 0.683. Let u = 3 - 3.4. What is the biggest value in u, 4, -0.2, m? 4 Let k be -4 - -2 - (1 - 3). Which is the smallest value? (a) -0.4 (b) 33 (c) k a Suppose 7*d - 4*d - 2*n - 5 = 0, d - 5*n + 20 = 0. What is the third smallest value in 1/8, -3/8, d, 4? 4 Let n = 1.43 + 59.57. Let i = n + -61.3. What is the third smallest value in -6, -0.1, i? -0.1 Let y be (8/32)/(5/(-16)). Which is the second biggest value? (a) -1 (b) 2/49 (c) y c Let k = -4.0738 - -0.0738. What is the third smallest value in k, 2, -2.4? 2 Let t be (23 - -1)/(27/18). Let r be (t/340)/((-6)/(-15)). What is the smallest value in -1, 4, r? -1 Let h(f) = -f**3 + 2*f. Let z be h(2). Let i = -3.96 - 0.24. Let g = -4.8 + i. Which is the second biggest value? (a) z (b) g (c) 5 a Let h = 219/28 + -60/7. Let q = -60.3 - 2.7. Let k = q - -63. Which is the second biggest value? (a) h (b) 2/5 (c) k c Let r(t) = 3*t - 20. Suppose -3*i = w - 19 - 6, -4*i + 29 = -3*w. Let d be r(i). Which is the third biggest value? (a) -3 (b) d (c) -0.02 a Let g(l) = 45*l + 222. Let s be g(-5). Which is the smallest value? (a) -83 (b) s (c) -4 a Let z = -151 + 151. Which is the biggest value? (a) -40 (b) z (c) 5 c Let d = -0.721 + -0.079. Let t = -4.195 + -0.005. Let n = t + d. Which is the smallest value? (a) 0.3 (b) 0 (c) n c Suppose 5*g = -4*q - 0*q + 27, -4*g = -4*q. What is the fourth smallest value in -2, 1, -4/7, q? q Let u = -0.05 - 0.15. Let o be (-4)/22 - 56228/(-180268). Let p = 3/241 - o. Which is the third smallest value? (a) p (b) u (c) -2 a Suppose 0*h - h - 22 = 5*o, 2*o - 2 = 5*h. Let u be (h/(-5))/((96/(-20))/4). Which is the third biggest value? (a) 1/3 (b) 5 (c) u (d) 0.1 d Let x = 3 - 15. Let o = x - -11.6. What is the second biggest value in 0.2, -0.5, o? o Let p = 0.2 - 0.1. Let x = -10 - -12.8. Let k = -0.8 + x. Which is the third smallest value? (a) p (b) k (c) -0.2 b Let s = 4 - 15. Let v = -11.2 - s. Let q = -1.2 - v. What is the third smallest value in 1, q, 1/3? 1 Let o = -17.08 - -0.08. Which is the third biggest value? (a) -3 (b) o (c) 0.4 (d) 0.1 a Let o = 0.4 + 0.6. Suppose -5*g + 5 + 10 = 0. Suppose 4*y = -y. What is the second smallest value in o, y, g? o Let h = 1935/8 + -242. What is the smallest value in -0.4, h, 0.3? -0.4 Let r = 0.22 - 0.35. Let d = 180.7 - 166.57. Let u = r + d. Which is the second biggest value? (a) u (b) 5 (c) 2 b Let p = 5091 + -10181/2. Let q = -9 + 17. Let s = q + -13. What is the second smallest value in p, 0, s? 0 Let j = -155 - -156. Which is the second biggest value? (a) -10 (b) 3 (c) j c Let h = 7.9 + -3.9. What is the third biggest value in -1/7, h, -2, -0.3? -0.3 Let f = -4 - -7. Let o = 3996 - 3989. Which is the second biggest value? (a) f (b) 3/7 (c) 1 (d) o a Let c = -534.5 - -535. What is the second smallest value in c, -3/130, 0? 0 Let h be 1/(-4)*-2*0. Let l = -90/179 + 92/895. Which is the fourth smallest value? (a) h (b) -3 (c) l (d) -2 a Let t = -175 + 175.5. Which is the third biggest value? (a) t (b) -4 (c) 0.16 b Let l be 204/560 + 24/(-60). Which is the third smallest value? (a) l (b) -2 (c) 1/2 c Let k = 569 - 564. Which is the biggest value? (a) -2 (b) -0.006 (c) 4 (d) k d Let h = 0.5032 - 0.1032. What is the smallest value in 1.2, h, 1? h Let k = -657
{ "pile_set_name": "DM Mathematics" }
the third derivative of -b**5/30 + 5*b**4/3 - 2*b**3/3 - 2*b**2 - 14*b. What are the prime factors of a(12)? 2, 47 Suppose -10*z + 5 = -25. Suppose -z*g + 293 = o, 2*g + 287 - 857 = -2*o. List the prime factors of o. 281 Let o = 15139 - -8032. List the prime factors of o. 17, 29, 47 Let t(l) = -758*l + 232. Let w be t(6). List the prime factors of (w/(-65))/(2 - (-8)/(-5)). 2, 83 List the prime factors of 7 + 60/(-9) - (-154617)/9. 2, 5, 859 Let d be (-12)/(-4) + (0 - 1). List the prime factors of (d/2 - 122)/(1/(-3)). 3, 11 Let b = -153643 + 264176. Suppose -54*q + b - 15817 = 0. List the prime factors of q. 2, 877 Let l(h) = -h**3 + 54*h**2 - 66*h + 229. What are the prime factors of l(48)? 5, 7, 311 Let y = -3605 - -13370. What are the prime factors of y? 3, 5, 7, 31 Let n = 90 - 86. Suppose 3*u + 460 = 4*s, 3*s - 223 - 122 = -n*u. Suppose 692 = 4*z - 3*r, -217 = -2*z - 2*r + s. List the prime factors of z. 2, 5, 17 Suppose 0 = -2*r + 2*c + 83088, -3*c - 124592 = -3*r - 5*c. What are the prime factors of r? 2, 11, 59 Let j(w) = 85*w**3 + 8*w**2 + 23*w - 366. What are the prime factors of j(10)? 2, 2677 Suppose -4*p + a = -73, 2*p - a = -3*a + 34. Let i = -15 + p. Suppose 4*c + t - 167 = 0, i*t = -4*c + t + 162. List the prime factors of c. 43 Suppose -29*u + 13413 = -26*u. What are the prime factors of u? 17, 263 Suppose -c = -5*j + 29804, -8*j = -5*j - 4*c - 17896. What are the prime factors of j/(-168)*-9 - 4/14? 11, 29 Let x be (2 - -2)*(-332)/8. Let u = x + 68. What are the prime factors of (-2)/(-7) - (-7)/u*-822? 59 Let o = -2672 - -2660. Let y(q) be the third derivative of q**5/30 + 17*q**4/24 + 7*q**3/3 + q**2. List the prime factors of y(o). 2, 7 Suppose 0*n = -n + 34. Let p = n - 29. Suppose -p*o = -48 - 57. List the prime factors of o. 3, 7 Suppose 43*d - 45*d + 84881 = 3*g, 5*g - 212205 = -5*d. List the prime factors of d. 2, 21221 Suppose 0 = -12*o - 638 - 382. Let b be (-31100)/o + (-6)/(-51). Suppose -b = h - 4*h. What are the prime factors of h? 2, 61 Let w = 308 + 1085. Let m = w + -752. What are the prime factors of m? 641 Let u(q) = 56*q + 1731. List the prime factors of u(-13). 17, 59 List the prime factors of 4/(-14) + 2251110/175 - 340/(-425). 2, 3, 67 Suppose 0*f + 21 = 3*f - 3*k, 5 = 2*f - 5*k. Let u be -2*((0 - f/(-4)) + -3). What are the prime factors of (85 - 3)*u - -1? 83 Let j be 4 + (-1)/(1/2). Suppose -3*q - j*x + 1814 = 0, 5*x - 3025 = -6*q + q. List the prime factors of q. 2, 151 Let d = 9511 - 4126. List the prime factors of d. 3, 5, 359 List the prime factors of (11332/(-2))/(-71 - -69). 2833 Let g = 4916 + 23632. What are the prime factors of g? 2, 3, 13, 61 Let m(d) be the first derivative of 25*d**3/3 + 4*d**2 + 11*d + 358. Suppose 5*b = -a - 13, -4*b - 6*a = -2*a + 20. What are the prime factors of m(b)? 5, 19 Let h = -10408 + 22487. What are the prime factors of h? 47, 257 Let g = 261 + -57. Suppose 12*v - g = -5*v. Suppose v*d + 5*d = 1887. List the prime factors of d. 3, 37 Let p(z) = 8*z - 149. Let u be p(19). Suppose 5*a - 1527 = c, u*a - 346 - 561 = -4*c. List the prime factors of a. 5, 61 Suppose -3*j - 2*j = -3945. Let a be -3*(-14)/((-294)/(-35)). Suppose -4*z + 2*t - 7*t + 639 = 0, 3*t - j = -a*z. List the prime factors of z. 2, 3, 13 Suppose -5*i + 0*i = -25. Suppose -q = -4, i*l + 4*q + 0*q = 26. Suppose 2*f = -5*z - 0*f + 17, -l*f - 23 = -3*z. List the prime factors of z. 5 Let r(t) = -416*t**3 + 47*t**2 + 203*t - 7. List the prime factors of r(-4). 26557 Let v be (1674/(-155))/(1 - (-12)/(-10)). Suppose j - 2*y = 49, 4*y + v = j + 7*y. What are the prime factors of j? 3, 17 What are the prime factors of (-579)/((-294)/(-112) - 3)? 2, 193 Let d(c) = -c**3 + 24*c**2 - c - 24. Let g be d(19). What are the prime factors of (-1)/6*4 - g/(-6)? 293 Suppose -1248*t = -1238*t - 41750. List the prime factors of t. 5, 167 Suppose 11*z + 3*k = 9*z + 43405, -108517 = -5*z - 9*k. What are the prime factors of z? 2, 19, 571 Let n be 1/((14/555)/14). What are the prime factors of (-2)/15 + 356384/n? 2, 3, 107 Let z(j) = 2*j**2 + 19*j + 26. Let q be z(-8). Suppose 4*c = -q*s + 335 + 361, -2*s - 2*c = -690. List the prime factors of s. 2, 3, 19 Let n be ((-205)/164)/((-2)/432). Suppose 0 = -5*x - n + 1780. What are the prime factors of x? 2, 151 Let v = -293 + 160. Let m = 444 - 240. Let y = v + m. What are the prime factors of y? 71 Let z = -1078 + -453. Let p = z + 2258. What are the prime factors of p? 727 What are the prime factors of (-18)/(-432)*8 + 88323/9? 2, 7, 701 Suppose -812*k = -817*k + 21440. Let s = k + -2778. What are the prime factors of s? 2, 5, 151 Let a be (-211)/((21/(-7))/42). Suppose 417*t = 410*t + a. What are the prime factors of t? 2, 211 Let i be -8 - -10 - (-324 + 0 + -2). Let g = -21 + i. List the prime factors of g. 307 Suppose 2*u + 0 = 4. What are the prime factors of -2 + u - 13/((-91)/2520)? 2, 3, 5 Suppose -298 + 1632 = b. List the prime factors of b. 2, 23, 29 Let s be 732/12 + 4/(-1). Suppose 5*j = 4*k - k - s, 0 = -3*j - k - 37. List the prime factors of (702/j)/((-6)/8). 2, 3, 13 Let w(k) = -15*k + 43. Let p(g) = -5*g + 14. Let v(s) = 11*p(s) - 4*w(s). List the prime factors of v(18). 2, 3 Suppose -68*f = -409094 - 118027 - 234071. List the prime factors of f. 2, 29, 193 Suppose -163880 = -18*v - 42056. Suppose -57*j = -41*j - v. What are the prime factors of j? 3, 47 Let l(j) = 3*j**2 - 4*j - 80. Let i be l(-6). Let s = -13 + 35. Let x = s + i. List the prime factors of x. 2, 37 Let n = -71 - -39. Let o = -30 - n. Suppose 3*k - 278 = -o*k - q, -2*k - q = -110. List the prime factors of k. 2, 7 Suppose 44*w - 40*w - 10 = 3*a, -3*a - 4*w = -22. List the prime factors of (-2233)/(-33) + (-10)/6 + a. 2, 17 Let o be (8/(-10))/((-16)/(-40))*-16. Suppose 19*b = 27*b + o. What are the prime factors of (-440)/b - ((-4)/1)/1? 2, 3, 19 Suppose 0 = 2*l - 4 - 0. Let x(v) = 2 + 20*v**2 - 20*v**2 + 6*v**3 - v. What are the prime factors of x(l)? 2, 3 Let p = 2362 + -3814. Let q = -769 - p. What are the prime factors of q? 683 Let w = -160 - -214. List the prime factors of (-1)/6 + 21501/w. 2, 199 Let z = -17082 + 22192. What are the prime factors of z? 2, 5, 7, 73 Let k = -499 - -629. What are the prime factors of k? 2, 5, 13 Let s = -13795 - -70273. List the prime factors of s. 2, 3, 9413 Let k(x) = 945*x**2 - 5*x - 17. List the prime factors of k(3). 37, 229 Suppose 19*o - 12 = 17*o. Suppose -o*c - 2412 = -12*c. Suppose c = 3*r - 3*b, r - b = 2*r - 140. List the prime factors of r. 137 Let x(v) = 3*v**3 - 16*v**2 - 9*v - 65. Suppose 0 = -46*s + 35*s + 110. List the prime factors of x(s). 3, 5, 83 Let p(m) = 8*m**2 + 20*m - 13. Let x be 11*-1*(-40 - -41). What are the prime factors of p(x)? 3, 5, 7 List the prime factors of 20/430 - 3179586/(-129). 2, 3, 13, 79 Let l be 7440 + 0 - (-1 - (9 + -10)). Suppose 0 = 14*y + l - 30652. What are the prime factors of y? 2, 829 Let l be (117/2)/(9/774). Suppose 12*o - l = -3. List the prime factors of o. 419 Let l(o) = -o**2 - 41*o + 99. Suppose -290 = -5*w + 15*w. What are the prime factors of l(w)? 3, 149 Let h be (-2)/11 + 664/22. Let n = 55 - h. List the prime factors of ((-63)/3)/(n/14 - 2). 2, 7 Suppose -b = -x - 13, -5*b + 0 = -5. List the prime factors of -2*(7*x + (-14 - -15)). 2, 83 Suppose -z + 12 = -2*x - 4*z, 0 = x - 2*z - 8. Let d(h) = -h**3 + h + 15. Let b be d(x). Let a = b - -26. What are the prime factors of a? 41 Suppose -5*l + 60670 = -2*j - j, -j = 3*l - 36416. What are the prime factors of l? 53, 229 Let q(v) = 7*v + 38. Let r be q(-5). Suppose -1365 = -2*c - r*g, -5*c - 4*g = -6*c + 710. What are the prime factors of c? 2, 3, 5, 23 Let x(n) = -n**2 + 25*n - 44. Let d be x(23). What are the prime factors of (5/d)/(-5) + 31090/20? 2, 3, 7, 37 Suppose -9*n - 5*n + 112 = 0. List the prime factors of 88/24 - 3*n/(-18). 5 Let v(o) be the first derivative of 51*o**2/2 - 18*o + 6241. Let i = -8 + 11. List the prime factors of v(i). 3, 5 Suppose 53*f = 52*f. Suppose f = 2*v + v + 6, v = 5*x - 252. Suppose -40*a = -38*a - x. List the prime factors of a. 5 Let v = 32832 + 3381. What are the prime factors of v? 3, 12071 Let v(p) be the first derivative of -7*p**2 - 51*p - 147. List the prime factors of v(-31). 383 Suppose -q
{ "pile_set_name": "DM Mathematics" }
: 5, e: 4, x: 10}. What is prob of picking 1 x and 1 e? 40/171 Four letters picked without replacement from {m: 3, c: 13}. Give prob of picking 1 c and 3 m. 1/140 Calculate prob of picking 2 o and 2 e when four letters picked without replacement from oeooooeoeeo. 21/55 Calculate prob of picking 3 u and 1 l when four letters picked without replacement from uluuuluuuuuu. 16/33 What is prob of picking 2 q when two letters picked without replacement from {x: 2, n: 5, z: 1, q: 2, k: 6}? 1/120 What is prob of picking 1 z, 1 k, and 1 a when three letters picked without replacement from {z: 1, k: 11, a: 7}? 77/969 What is prob of picking 1 k and 2 v when three letters picked without replacement from {d: 1, q: 1, k: 2, v: 2, o: 4, z: 4}? 1/182 Calculate prob of picking 2 z and 1 m when three letters picked without replacement from zzmz. 3/4 Calculate prob of picking 2 f, 1 r, and 1 n when four letters picked without replacement from {f: 2, r: 3, n: 4, x: 1, t: 2}. 4/165 Four letters picked without replacement from {n: 3, m: 5, f: 3, w: 1, q: 7}. What is prob of picking 1 w, 1 m, and 2 q? 35/1292 Two letters picked without replacement from {a: 2, f: 1, n: 1, z: 6, b: 7}. Give prob of picking 1 z and 1 a. 3/34 Two letters picked without replacement from faapp. What is prob of picking 1 p and 1 f? 1/5 Two letters picked without replacement from izzzzizzzii. What is prob of picking 2 i? 6/55 Two letters picked without replacement from tltllniywtnt. What is prob of picking 1 y and 1 t? 2/33 Four letters picked without replacement from {z: 1, l: 14}. What is prob of picking 1 z and 3 l? 4/15 Four letters picked without replacement from qfmmqsfqfxfqqxq. Give prob of picking 1 m and 3 f. 8/1365 What is prob of picking 1 m and 2 f when three letters picked without replacement from {o: 13, m: 3, f: 3}? 3/323 Three letters picked without replacement from tkkkkttktttts. Give prob of picking 3 k. 5/143 Three letters picked without replacement from btbbbudbtnttttbuid. Give prob of picking 2 d and 1 i. 1/816 Three letters picked without replacement from {x: 5, t: 5, b: 3}. What is prob of picking 3 t? 5/143 Four letters picked without replacement from hzfzzhhhfzzfhzzfhhhz. Give prob of picking 4 h. 14/969 Calculate prob of picking 2 i and 1 q when three letters picked without replacement from {q: 9, i: 2}. 3/55 Two letters picked without replacement from iwiw. Give prob of picking 1 i and 1 w. 2/3 Four letters picked without replacement from {h: 7, p: 4, w: 3, n: 1, e: 4}. Give prob of picking 4 h. 35/3876 Three letters picked without replacement from {b: 7}. What is prob of picking 3 b? 1 Calculate prob of picking 1 m and 3 j when four letters picked without replacement from {h: 1, j: 3, m: 2, o: 3, e: 1}. 1/105 Four letters picked without replacement from {h: 1, x: 2, c: 1, g: 2, z: 1}. What is prob of picking 1 z, 1 c, and 2 g? 1/35 What is prob of picking 1 y and 1 s when two letters picked without replacement from ysssssss? 1/4 Two letters picked without replacement from wzzzxzxdzaxx. Give prob of picking 1 z and 1 x. 10/33 Four letters picked without replacement from rudrdddwfrr. Give prob of picking 1 d, 1 w, 1 u, and 1 r. 8/165 Four letters picked without replacement from hqqmziiy. Give prob of picking 1 m, 1 h, 1 z, and 1 i. 1/35 Two letters picked without replacement from lolhohthlhhfhhltlvvo. Give prob of picking 2 h. 21/190 Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {s: 2, t: 7, y: 4, g: 1, c: 4}. 4/153 What is prob of picking 4 p when four letters picked without replacement from ajujjupjujpp? 0 Four letters picked without replacement from {y: 2, c: 1, h: 6, v: 3}. Give prob of picking 2 h and 2 y. 1/33 Two letters picked without replacement from ryyyvrybrv. What is prob of picking 1 b and 1 r? 1/15 What is prob of picking 1 u and 3 j when four letters picked without replacement from {q: 3, j: 3, f: 1, u: 3}? 1/70 Calculate prob of picking 1 b and 2 p when three letters picked without replacement from {m: 1, b: 4, s: 1, z: 1, p: 1}. 0 What is prob of picking 1 s and 1 h when two letters picked without replacement from {g: 1, t: 1, s: 1, f: 2, p: 1, h: 1}? 1/21 What is prob of picking 1 o and 1 b when two letters picked without replacement from jbaaolohb? 1/9 Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {g: 1, l: 4, u: 3}. 3/7 Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {u: 2, d: 3, o: 1, v: 2, b: 1, i: 3}. 1/22 Three letters picked without replacement from aaaaajaaj. What is prob of picking 3 a? 5/12 What is prob of picking 2 l and 1 o when three letters picked without replacement from olwloowl? 9/56 Four letters picked without replacement from jjjrjjjjjrjjjjjrjjjj. What is prob of picking 4 r? 0 Two letters picked without replacement from hqohhqhoh. Give prob of picking 2 h. 5/18 Four letters picked without replacement from eejjdjjjjj. What is prob of picking 2 e and 2 j? 1/10 What is prob of picking 1 q and 2 s when three letters picked without replacement from qqqsssqpspqp? 3/22 Two letters picked without replacement from {t: 1, r: 2, q: 2, f: 2, p: 1}. What is prob of picking 1 r and 1 q? 1/7 Three letters picked without replacement from {r: 6, x: 1, a: 3, v: 4, j: 3, f: 2}. Give prob of picking 2 r and 1 v. 20/323 Four letters picked without replacement from yyyyqqyyqyqyyqqqyqqq. Give prob of picking 2 q and 2 y. 135/323 Calculate prob of picking 2 c when two letters picked without replacement from {g: 10, c: 9}. 4/19 Four letters picked without replacement from kkkkkdkkddkk. Give prob of picking 1 d and 3 k. 28/55 What is prob of picking 1 m and 1 s when two letters picked without replacement from tskrmmp? 2/21 Three letters picked without replacement from ifriwrwwixwiifif. Give prob of picking 1 x and 2 i. 3/112 What is prob of picking 2 w when two letters picked without replacement from wbfwbbfwwffbfbbbb? 3/68 Two letters picked without replacement from muuuuummmmimm. Give prob of picking 1 m and 1 u. 35/78 Four letters picked without replacement from ogzazjsozsaszza. What is prob of picking 1 j, 1 g, and 2 z? 2/273 Calculate prob of picking 3 u when three letters picked without replacement from uuvvuvuuuu. 7/24 Calculate prob of picking 1 p, 1 n, and 1 q when three letters picked without replacement from {p: 4, q: 3, w: 1, n: 3}. 12/55 What is prob of picking 1 g and 3 c when four letters picked without replacement from {c: 3, g: 5}? 1/14 Three letters picked without replacement from {u: 4, a: 6, b: 1}. What is prob of picking 3 a? 4/33 What is prob of picking 1 l, 2 t, and 1 u when four letters picked without replacement from htllllltullll? 9/715 Two letters picked without replacement from {g: 2, c: 1, x: 1}. What is prob of picking 2 g? 1/6 What is prob of picking 1 k and 1 j when two letters picked without replacement from {w: 3, i: 1, b: 3, j: 1, k: 3, q: 4}? 1/35 Calculate prob of picking 3 d when three letters picked without replacement from {d: 16, z: 4}. 28/57 Calculate prob of picking 1 r, 1 x, 1 z, and 1 g when four letters picked without replacement from {p: 1, x: 1, d: 2, r: 1, g: 1, z: 1}. 1/35 Three letters picked without replacement from {w: 7, d: 2, n: 4}. Give prob of picking 3 n. 2/143 Calculate prob of picking 1 m, 1 e, and 2 j when four letters picked without replacement from njjgggmanggjega. 1/455 Three letters picked without replacement from {c: 3, t: 1, i: 6, b: 3, w: 4, v: 1}. Give prob of picking 1 i, 1 v, and 1 t. 1/136 Two letters picked without replacement from {k: 5, g: 4, v: 2, c: 2}. What is prob of picking 1 v and 1 g? 4/39 What is prob of picking 1 y and 1 a when two letters picked without replacement from xapuypya? 1/7 What is prob of picking 2 h and 1 x when three letters picked without replacement from {x: 5, z: 2, o: 2, h: 4}? 15/143 Calculate prob of picking 1 h, 1 x, and 1 b when three letters picked without replacement from {x: 1, b: 1, a: 10, w: 2, h: 2}. 1/280 Two letters picked without replacement from ccqocfqqfoc. What is prob of picking 1 c and 1 f? 8/55 What is prob of picking 2 n when two letters picked without replacement from qnnnnnnnnnq? 36/55 What is prob of pickin
{ "pile_set_name": "DM Mathematics" }
et j(m) = 11*m - 67. Determine j(6). -1 Let q(f) = -28*f + 2. What is q(-1)? 30 Let d(n) = -25*n + 128. Calculate d(6). -22 Let q(w) = 3*w + 1. Give q(-3). -8 Let c(i) = -55*i + 1. Calculate c(-1). 56 Let k(g) = g**3 - 4*g**2 - 9*g + 11. Give k(6). 29 Let u(p) = 23*p - 10. Determine u(0). -10 Let x(w) = w + 1. Calculate x(5). 6 Let d(l) = l - 2. What is d(-7)? -9 Let n(x) = -x**2 + 31*x - 148. What is n(7)? 20 Let j(w) = w**2 + 2*w + 1. Give j(-3). 4 Let i(y) = -31*y - 281. Give i(-9). -2 Let k(p) = 12*p**2 + 28*p + 28. Calculate k(-1). 12 Let c(f) = 2*f**2 + 43*f - 72. What is c(-23)? -3 Let m(a) = -27*a + 97. Determine m(4). -11 Let l(o) = 2*o - 1. What is l(-4)? -9 Let b(v) = v**2 - 21*v + 50. Determine b(18). -4 Let r(b) = b**2 + 20*b - 59. Determine r(-24). 37 Let a(u) = -2*u - 2. Calculate a(-8). 14 Let w(s) = s**3 - 21*s**2 - 22*s + 5. Give w(22). 5 Let s(x) = -x + 10. Give s(4). 6 Let o(i) = 72*i + 659. Calculate o(-9). 11 Let z(q) = q**3 - 25*q**2 + 46*q - 1. Determine z(23). -1 Let c(v) = -v**2 - 8*v - 22. What is c(-6)? -10 Let o(x) = x**3 - 7*x**2 - 22*x - 7. Determine o(10). 73 Let h(w) = -16*w + 2. Give h(-3). 50 Let c(s) = s**2 + 12*s - 4. Calculate c(-12). -4 Let f(s) = s - 4. Give f(2). -2 Let i(s) = s**3 + 7*s**2 - 3*s + 10. Determine i(-8). -30 Let q(o) = 2*o + 1. Give q(5). 11 Let p(f) = f**2 - 14*f + 59. What is p(17)? 110 Let q(b) = b + 4. Determine q(24). 28 Let j(i) = 20*i**3 - i + 1. Calculate j(1). 20 Let a(f) = 2*f**3 + 5*f**2 - 3*f + 1. What is a(-4)? -35 Let u(d) = -d**3 + 8*d**2 - 9*d + 3. Determine u(7). -11 Let c(x) = -x**3 - 12*x**2 + x + 5. Determine c(-12). -7 Let d(q) = 5*q - 4. Calculate d(0). -4 Let h(m) = -4*m + 45. Calculate h(12). -3 Let v(y) = 2*y + 24. Calculate v(0). 24 Let u(x) = 28*x**3 - x**2 + 1. Calculate u(-1). -28 Let d(f) = -2*f + 12. Calculate d(-3). 18 Let u(m) = -6*m**2 - 55*m - 14. What is u(-9)? -5 Let p(i) = i - 4. Calculate p(-2). -6 Let h(t) = -3*t**3 - 18*t**2 - 7*t - 10. Determine h(-6). 32 Let x(v) = -2*v**2 + 11*v - 7. Give x(7). -28 Let g(a) = 2*a**2 - 39. Calculate g(0). -39 Let v(p) = 14*p - 13. Calculate v(0). -13 Let x(a) = -a**3 - 4*a**2 + 13*a + 3. Determine x(-6). -3 Let z(l) = -l**2 + 17*l - 12. Calculate z(17). -12 Let c(u) = -4*u**2 - 142*u - 76. What is c(-35)? -6 Let g(r) = r**2 - 9*r - 62. Give g(-5). 8 Let j(r) = -r**2 - 15*r - 40. Calculate j(-5). 10 Let l(r) = -r**3 + 10*r**2 - 13*r - 26. Determine l(8). -2 Let j(f) = -6*f**2 - 1. Determine j(2). -25 Let q(x) = -3*x**3 + 3*x**2 - 2*x + 1. Calculate q(1). -1 Let p(h) = -37*h - 305. What is p(-8)? -9 Let f(t) = 29*t**2 + 4*t + 4. Determine f(-1). 29 Let c(o) = o**2 - 14*o + 4. What is c(14)? 4 Let a(b) = b - 9. Determine a(9). 0 Let g(s) = s**2 + 10*s + 33. What is g(-4)? 9 Let f(r) = -4*r - 41. Determine f(-12). 7 Let f(t) = -2*t**3 + 7*t**2 - t - 4. Give f(3). 2 Let n(g) = 11*g**2 - 1. Determine n(2). 43 Let i(q) = -2*q + 22. Calculate i(5). 12 Let c(g) = -9*g - 9. What is c(0)? -9 Let o(z) = -24*z - 18. Give o(-1). 6 Let i(v) = -6*v**2 + 2*v - 6. Give i(-3). -66 Let l(h) = h + 23. Determine l(14). 37 Let j(k) = -5*k + 1. Give j(7). -34 Let z(x) = -10*x. Calculate z(3). -30 Let k(y) = -y**3 - 4*y**2 + 5*y - 3. Calculate k(-5). -3 Let d(s) = -3*s**2 - 6*s - 3. Determine d(-7). -108 Let j(w) = w**2 + 30*w + 221. Determine j(-16). -3 Let f(q) = -13*q + 29. Give f(4). -23 Let k(n) = n - 101. Calculate k(19). -82 Let j(q) = 5*q - 11. Determine j(3). 4 Let y(k) = -3*k**3 + 2*k**2 + 2*k + 1. Calculate y(-1). 4 Let p(a) = -12*a + 8. Calculate p(0). 8 Let f(c) = -12*c + 135. Determine f(11). 3 Let n(g) = -g**2 + 10*g - 6. What is n(7)? 15 Let k(m) = m + 3. What is k(12)? 15 Let h(i) = -i + 1. Calculate h(2). -1 Let b(x) = 3*x**2 - 16*x - 11. Determine b(5). -16 Let b(m) = m - 1. Calculate b(-4). -5 Let s(u) = 20*u + 73. Calculate s(-4). -7 Let q(m) = -2*m**3 + 10*m**2 + m + 14. Calculate q(5). 19 Let c(s) = s**2 - s - 39. Determine c(-6). 3 Let o(u) = u**3 + u**2 - 3*u - 5. Give o(-4). -41 Let b(m) = -59*m - 172. Determine b(-3). 5 Let h(n) = -n**2 + 15*n + 25. What is h(17)? -9 Let y(m) = 14*m - 98. Give y(15). 112 Let h(d) = 29*d + 232. Determine h(-8). 0 Let f(u) = 3*u**2 + 7*u + 9. Calculate f(-5). 49 Let c(s) = -2*s**2 - 29*s + 5. Calculate c(-15). -10 Let b(k) = -k**2 + 12*k - 13. Give b(9). 14 Let x(g) = g**2 + 9*g + 17. Determine x(-6). -1 Let y(q) = -q**3 + 6*q**2 - 24*q + 103. Calculate y(5). 8 Let q(j) = 8*j - 45. What is q(24)? 147 Let i(k) = -k**3 - 13*k**2 - 27*k - 50. Determine i(-11). 5 Let x(r) = r**3 + 11*r**2 - 41*r + 2. Give x(-14). -12 Let g(z) = -8*z**3 - 4*z**2 - 3*z + 1. What is g(-1)? 8 Let w(i) = -i**3 - 11*i**2 - 2*i - 10. Determine w(-11). 12 Let g(v) = 31*v - 496. What is g(16)? 0 Let v(w) = -w**2 + 24*w - 26. Give v(23). -3 Let c(k) = k**3 - 6*k**2 + k - 1. Calculate c(5). -21 Let x(r) = -r**3 + 9*r**2 - 8*r + 1. Determine x(9). -71 Let j(u) = -u + 1. Calculate j(-13). 14 Let i(t) = -14*t**3 - 2*t**2 + 2*t + 3. Give i(-1). 13 Let k(j) = -j**2 + 8*j - 14. What is k(6)? -2 Let p(z) = -z**3 - 16*z**2 + 14*z + 33. Determine p(-17). 84 Let j(l) = -10*l + 60. Calculate j(9). -30 Let r(s) = 33*s**3 + s**2 - 5*s - 5. Determine r(-1). -32 Let t(b) = b**3 + 9*b**2 + 8*b - 9. Give t(-8). -9 Let x(r) = r. What is x(3)? 3 Let u(l) = -l**2 + 35*l - 175. Determine u(29). -1 Let k(s) = 2*s**3 + 50*s**2 + 92*s + 7. What is k(-23)? 7 Let c(t) = t**2 + 5*t - 7. Give c(-7). 7 Let h(k) = -k**2 - k + 51. What is h(-7)? 9 Let w(d) = 2*d**2 - 107*d + 311. Give w(3). 8 Let w(j) = -j**2 - 3. Give w(2). -7 Let l(u) = 4*u - 56. Calculate l(13). -4 Let z(s) = -2*s**2 + s + 6. Determine z(4). -22 Let u(h) = -2*h**2 + 16*h - 23. Calculate u(6). 1 Let j(q) = -2*q + 17. What is j(8)? 1 Let g(v) = 2*v**3 - 9*v**2 + 10*v - 56. Give g(6). 112 Let y(h) = 2*h + 6. Calculate y(4). 14 Let o(j) = -9*j + 24. What is o(2)? 6 Let q(c) = c**3 - 9*c**2 + 7*c - 15. Determine q(7). -64 Let p(m) = 22*m - 1324. What is p(60)? -4 Let s(m) = -m - 36. Give s(-10). -26 Let o(q) = q**3 - 4*q**2 - 10*q - 22. What is o(6)? -10 Let f(l) = -17*l + 118. What is f(6)? 16 Let p(q) = -5*q**2 + 9*q + 8. Calculate p(7). -174 Let v(f) = -10*f + 34. Determine v(15). -116 Let s(p) = -2*p**2 + 24*p + 20. Determine s(13). -6 Let a(z) = -z**3 + 8*z**2 - 8*z + 1. What is a(6)? 25 Let q(z) = -z + 18. Determine q(22). -4 Let f(w) = 2*w**2 - 4*w - 11. What is f(6)? 37 Let j(s) = -s**2 + 12*s - 12. Calculate j(11). -1 Let s(v) = 123*v - 487. Calculate s(4). 5 Let r(p) = p**2 - 5*p - 17. Give r(7). -3 Let u(w) = -w**3 - 6*w**2 + 8*w + 16. Determine u(-7). 9 Let o(r) = 19*r - 210. What is o(11)? -1 Let t(n) = 23*n - 278. Calculate t(14). 44 Let n(u) = 3*u**3 + u**2 + u - 1. What is n(1)? 4 Let m(l) = -l**2 - 17*l - 35. Give m(-11). 31 Let w(z) = z**2 - 4*z - 1. What is w(3)? -4 Let w(j) = 24*j**2 - 54*j. What is w(2)? -12 Let f(a) = 18*a**2. Calculate f(1). 18 Let w(g) = g**3 - 45*g**2 + 5*g - 226. Determine w(45). -1 Let n(q) = -2*q**2 - 14*q - 26. Calculate n(-4). -2 Let l(k) = -11*k**2 + 2*k - 1. Calculate l(2). -41 Let c(d) = d**3 - 16*d**2 - 18*d + 23. Calculate c(17). 6 Let b(j) = -2*j**3 + 4*j**2 - 2*j - 1. Calculate b(3). -25 Let c(z) = z**3 - 9*z**2 + 18*z. Determine c(4). -8 Let c(a) = -a - 16. Give c(19). -35 Let h(y) = 6*y + 173. Give h(-21). 47 Let t(g) = -g**2 + 11*g. Determine t(10). 10 Let q(y) = 3*y - 37. What is q(14)? 5 Let t(n) = -n**3 - n**2 + 2*n + 3. Determine t(-3). 15 Let h(d) = -7*d**2 - 41*d + 5. Calculate h(-6). -1 Let n(u) = -u - 6. Give n(-10). 4 Let v(y) = -y**3 - 11*y**2 - 8*y - 9. Determine v(-8). -137 Let j(a) = -a**3 - 9*a**2 + 5*a - 3. Determine j(-10). 47 Let z(c) = 3*c - 10. What is z(3)? -1 Let b(d) = d**2 + 8*d + 24. What is b(-5)? 9 Let u(a) = -3*a - 2. Calculate u(1). -5 Let z(d) = 23*d**2 - 2*d. Calculate z(2). 88 Let w(k) = -7*k - 1. Calculate w(1). -8 Let j(y) = -y**2 - 29*y - 33. What is j(-28)? -5 Let r(v) = v**2 + 20*v + 71. Calculate r(-16). 7 Let h(i) = -i**2 + 11*i - 23. Give h(10). -13 Let u(x) = 5*x - 28. What is u(5)? -3 Let r(b) = 7*b + 26. Determine r(-4). -2 Let r(j) = -9*j - 88. Determine r(-9). -7 Let l(u) = u**2 - 9*u + 13. Give l(5). -7 Let p(u) = -u**2 - 13*u - 10. Calculate p(-14). -24 Let v(y) = y**2 -
{ "pile_set_name": "DM Mathematics" }
q. -13 Solve -6937298*c = -6937294*c - 144 for c. 36 Solve 6580 = 335*h + 1720 - 4520 for h. 28 Solve 231*s + 28*s - 84*s - 5*s - 9350 = 0 for s. 55 Solve 35497*u = 35535*u + 190 for u. -5 Solve 90762 = -4810*o + 268732 for o. 37 Solve -8773*h + 372474 = -17955 - 266795 - 158665 for h. 93 Solve 127*t + 262*t + 8709 + 6768 = -5918 for t. -55 Solve 351*g + 15019 - 20986 = 0 for g. 17 Solve 0 = -418*m + 4949*m + 181240 for m. -40 Solve 247365 = 137308*a - 135157*a for a. 115 Solve 58 = 3763*q - 3749*q + 369 + 165 for q. -34 Solve 33840 = -3221*l - 3210*l + 6791*l for l. 94 Solve -344*t + 911 = -484*t - 4549 for t. -39 Solve -112*c - 13102 = -195*c - 215*c + 4778 for c. 60 Solve -6362831*d = -6363571*d + 12580 for d. 17 Solve 243*l + 11929 = -756*l - 46*l - 147956 for l. -153 Solve 20445 = 31*m - 30*m + 159*m + 75*m for m. 87 Solve -334015*v - 55675 = -334440*v for v. 131 Solve 157*y + 5872 = -229*y - 3778 for y. -25 Solve 153*d - 28457 = -21113 for d. 48 Solve 0 = 603*s - 3512 - 1529 - 24909 - 9245 for s. 65 Solve 977*z + 15351 + 9627 = 348*z - 2698 for z. -44 Solve -118*t - 243*t + 660620 - 669284 = 0 for t. -24 Solve -5*v + 417 = 53*v + 408 + 2561 for v. -44 Solve 2323*l + 868*l = 635*l + 25560 for l. 10 Solve -32120*l - 391352 + 8885 = 356293 for l. -23 Solve 132*x = 13*x + 7280 + 1407 for x. 73 Solve 114*q - 3617 + 1937 - 10113 = 405 for q. 107 Solve 1423241*l = 1423287*l - 322 for l. 7 Solve -1309*m = 115*m + 66928 for m. -47 Solve 38*o + 211 - 1811 = 1478 for o. 81 Solve -653*t = 2797*t + 106950 for t. -31 Solve 4607*s - 31815 = -110243 - 73603 for s. -33 Solve 0 = 2251*f - 1439*f - 17864 for f. 22 Solve 264*c + 291*c = -20*c - 160*c - 25725 for c. -35 Solve 48 = -103*k + 227*k - 126*k for k. -24 Solve 75296067 = -129*v + 75290391 for v. -44 Solve 3*m + 3960 + 630 = 57*m for m. 85 Solve -1066 - 1049 = 10*i - 183 - 522 for i. -141 Solve 323*u + 311*u = 662*u - 1907 - 137 for u. 73 Solve 73*d - 204 = 206*d + 211*d + 484 for d. -2 Solve -4919 + 1282 - 2331 = 589*s + 5812 for s. -20 Solve 0 = -240963*n + 240191*n - 50952 for n. -66 Solve 11547*n = 13302*n + 75097 + 2123 for n. -44 Solve -2696*g + 927 = -2029 + 260 for g. 1 Solve -319 - 200 = -34*u + 467 for u. 29 Solve 1449*o = -10137 - 40578 for o. -35 Solve -1966 + 14 - 1010 = -49*l + 174 for l. 64 Solve -4005*m = -7980*m + 4282*m + 1228 for m. -4 Solve 232118*d - 232285*d + 3841 = 0 for d. 23 Solve -2428*j - 2473 = -338*j - 103301 - 85182 for j. 89 Solve -7*m - 47*m - 1421 = -23*m + 18*m for m. -29 Solve 216*p - 805 + 11081 = 988 for p. -43 Solve 27*w + 23*w = 19*w + 5*w + 338 for w. 13 Solve -9681 + 182 = 344*f + 5981 for f. -45 Solve 18918819*t - 18918079*t = 44400 for t. 60 Solve 456 = 2*r + 30*r + 399 + 281 for r. -7 Solve -1160*s + 3511 = -1129 for s. 4 Solve 40*z - 901*z + 34048 = 3052 for z. 36 Solve 24*t = 32*t - 9*t - 39*t + 480 for t. 12 Solve 46*m + 1347 - 513 = -4*m - 816 for m. -33 Solve 0 = 12014*o - 3249*o + 657375 for o. -75 Solve 9965*h = -7830*h + 213540 for h. 12 Solve -61*k - 13737 + 42028 = 620*k - 41171 for k. 102 Solve -66*p + 101703 = 766*p + 337*p for p. 87 Solve -895*l + 837*l + 812 = 0 for l. 14 Solve -1194 = 28532*j - 27935*j for j. -2 Solve 1081*b - 63973 + 11004 = 0 for b. 49 Solve 5664*u + 83950 = 42728 - 83667 + 281 for u. -22 Solve 75002*b = 74921*b - 4536 for b. -56 Solve 121704 = 2974*k - 86476 for k. 70 Solve -848*f = -20109 + 4491 - 11518 for f. 32 Solve 91*n + 93*n + 91*n - 262*n = -325 for n. -25 Solve -10379*o - 18284*o + 575456 = -10480*o + 1593704 for o. -56 Solve -2311*d - 18976 = -1718*d for d. -32 Solve -372*b = -280*b + 178 + 554 - 180 for b. -6 Solve -345 + 1954 = -80*i - 3111 for i. -59 Solve 394 = -412*j + 132 - 974 for j. -3 Solve 632*s = -280*s - 8509 - 5171 for s. -15 Solve -252 = 109*t + 947 for t. -11 Solve -15818 = -14*t - 14978 for t. 60 Solve 24*g + 16*g - 80*g = 9*g - 2107 for g. 43 Solve 1003*a + 51 = 1997*a - 993*a for a. 51 Solve -51*z + 11*z - 48*z = 38*z + 9702 for z. -77 Solve 2453*o + 2466*o = 4724*o + 3900 for o. 20 Solve -554*l + 6723 = 531*l + 151 - 72633 for l. 73 Solve -1469*p + 251*p - 1651*p + 10068 = 487*p for p. 3 Solve 17718*c + 13249 = 1413 - 23600 for c. -2 Solve 5516*l - 226923 = -4410*l - 692*l + 293359 for l. 49 Solve -167*s = 1255*s + 666*s - 27144 for s. 13 Solve 49520 = 622*d + 815*d - 6523 for d. 39 Solve -3708*g + 1838*g + 988 = -1818*g for g. 19 Solve 94*f = -3972 + 5194 for f. 13 Solve -2920*b = 39869 - 1909 for b. -13 Solve -99*i + 200 = 134*i + 200 for i. 0 Solve 65587 - 78708 = -3263*j - 1001*j + 80687 for j. 22 Solve 2195191 - 2301591 = 1064*w for w. -100 Solve -8843 - 2866 - 6875 - 2020 = 204*b for b. -101 Solve -89*f - 21*f + 30*f + 1120 = 0 for f. 14 Solve 120*w + 363420 = 371940 for w. 71 Solve 29030 = 3397*o - 184981 for o. 63 Solve 34*c + 974 = -59*c - 2095 for c. -33 Solve 154668 = 2511*s + 2670*s + 384039 + 112575 for s. -66 Solve 98*c = 201123 - 197693 for c. 35 Solve 1298 + 1321 - 1029 = 106*z for z. 15 Solve 0 = 171*c - 231*c for c. 0 Solve -781 = 64*m + 51 for m. -13 Solve 271*t + 28469 = -223*t - 87*t for t. -49 Solve 272*l + 2397 + 3759 = -644 for l. -25 Solve 6210*j - 5069*j = -6260*j + 710496 for j. 96 Solve 17367 = 345*b + 73*b + 414*b - 5*b for b. 21 Solve 3382*d - 625441 = -3499*d + 468758 - 144621 for d. 138 Solve -2397*t = -54084 - 97082 - 101559 + 44186 for t. 87 Solve -20763*j - 1093436 - 31521 - 136351 - 46761 = 0 for j. -63 Solve 10098*r - 182 = 10124*r for r. -7 Solve -365*h + 4366 = -783*h + 359*h for h. -74 Solve 287*i = -459 - 2411 for i. -10 Solve -170*k + 26156 = 18336 for k. 46 Solve -76*v + 264 = -341 - 2105 - 254 for v. 39 Solve 0 = 1433*m - 4415*m + 184070 - 61808 for m. 41 Solve -316 - 763 = 160*h - 77*h - 70*h for h. -83 Solve 2101*t - 13611 = 9500 for t. 11 Solve 40832 + 27420 = -1945*r - 24011 - 38052 for r. -67 Solve 169*x = 121*x - 97*x - 16820 for x. -116 Solve 349*n + 2725 + 23529 - 2871 = 0 for n. -67 Solve -1123*d = -1168*d - 703 + 247 - 2334 for d. -62 Solve 0 = -895*j - 581*j + 107748 for j. 73 Solve 71*m + 8*m + 605 - 3218 = 12*m for m. 39 Solve -141*k - 120*k - 17276 = 217*k + 5668 for k. -48 Solve 1462 = 2960*m - 1498 for m. 1 Solve -71378 + 80107 = 301*d for d. 29 Solve 27*o = -78*o - 57*o + 328 - 3892 for o. -22 Solve 1380*b - 628 = -35128 for b. -25 Solve -4553 = -1324*w + 12153 + 34930 for w. 39 Solve -690385 = -18593*k + 407749 - 38333 for k. 57 Solve 327*m + 49877 - 47833 = 1349*m for m. 2 Solve 5*l + 3*l + 451 = 9*l - 42*l for l. -11 Solve -263*d + 2396 - 88286 = 503*d + 461*d for d. -70 Solve -1116*a + 148964 = 175748 for a. -24 Solve -5967*w + 112339 + 332326 = 874*w for w. 65 Solve 141*v - 26818 = -251*v - 114*v for v. 53 Solve 90*i + 66*i = -12*i - 64*i + 1856 for i. 8 Solve 315*z + 16480 = -227*z + 130*z for z. -40 Solve -168 = 134*c - 532 - 17994 for c. 137 Solve -440*t + 5389 - 29825 = -142*t for t. -82 Solve 3291*o + 8210 - 127877 = -17646 for o. 31 Solve -17*p - 2*p + 359 = -0*p - 933 for p. 68 Solve 37*b + 1649 = -16*b - 736 for b. -45 Solve -281*v - 391*v = -213*v - 1309*v + 12750 for v. 15 Solve 0 = 12588*a - 14236*a + 141728 for a. 86 Solve 379*j = -1046*j - 26845 - 13055 for j. -28 Solve 562*g + 10075 = 18602 - 4593 for g. 7 Solve 338*z + 49*z - 60*z + 32364 = -789*z for z. -29 Solve -438*k = 308*k + 670*k - 188*k - 71224 for k. 58 Solve 237*g + 130498 = -686*g - 257*g + 21938 for g. -92 Solve 0 = 764*o + 685*o + 27562 - 10174 for o. -12 Solve -197*v - 1158 + 1914 = -3987 - 2546 for v. 37 Solve -5821 - 20024 + 6341 = 928*d + 17616 for d. -40 Solve -685 = -54*r + 944*r + 2260 - 40325 for r. 42 Solve -1388 = -301*q + 1838 + 5503 for q. 29 Solve -301*n - 372*n - 30052 = 12545 - 11639 for n. -46 Solve -23777 = -336*g - 29*g - 38*g for g. 59 Solve -541*z - 31074 + 17670 = 39073 for z. -97 Solve -9*k + 57 + 2363 = -119*k for k. -22 Solve -13*u + 507 = -31*u + 5*u for u. -39 Solve 49*r - 68*r - 1496 = -36*r for r. 88 Solve -73 = -24138*d + 24239*d - 1184 for d. 11 Solve -758*x + 412*x + 360*x = -672 for x. -48 Solve -9443*d - 3118 = -9281*d - 21424 for d. 113 Solve 29622 = -389*l - 1324*l + 193*l + 88902 for l. 39 Solve 90*d + 47*d - 3713 = -43*d + 259*d for d. -47 Solve 1550*w - 623*w + 37606 = -16160 for w. -58 Solve 8021 = 550*x -
{ "pile_set_name": "DM Mathematics" }
60)/160 + (-2)/n. Let w be 2/(-42) - (-4)/(-14). What is the third smallest value in k, w, -1/2? k Let w be 32/(-176) - ((-684)/253 + 2). Which is the third biggest value? (a) -3 (b) w (c) 4 a Let w = 18 + -28. Let c = w + 9. Let z = -3.03 - -0.03. What is the smallest value in -7/5, z, c? z Suppose b - 4*b + 6 = 0. Suppose -17 = -10*n - 357. What is the second biggest value in b, 0.1, n? 0.1 Suppose o = -2*i + 5, 11*o = -5*i + 14*o - 15. Which is the third biggest value? (a) -5 (b) i (c) 473 a Let i be -1*(-34)/9 - 4. Suppose l + 4*p - 7 = 0, -5*p + 13 = 2*l + 2. Let v be (-3)/(-21)*(1 - l). What is the biggest value in 0.5, v, i? 0.5 Let r = -87/19 - -552/133. Which is the second smallest value? (a) 0 (b) r (c) 0.1 (d) -2 b Let d = -288 + 289. Let j = -4 - -8. Which is the second smallest value? (a) j (b) d (c) 0.3 b Let f = -313.3 - -313. Which is the third biggest value? (a) f (b) -3 (c) 17 (d) 5/3 a Let v = 6 + -6.4. Let h = 0.2 - 0. Let i = -126.1 - -126. Which is the second biggest value? (a) h (b) v (c) i c Suppose 2 + 0 = -o. Let u = 46 - 47. Which is the third biggest value? (a) 3 (b) o (c) u b Suppose n + 228 = 5*n. Let o = 6/2399 + 681286/11995. Let d = n - o. Which is the third biggest value? (a) -2 (b) d (c) -5 c Let o = -44 + 44.2. Let x = 0 - -12. Let a = -7 + x. What is the smallest value in a, o, -5? -5 Suppose 0 = -u - 0 + 2. Suppose 13 = -u*y - 23. Let x be (y/(-6))/(-1 + 0). Which is the smallest value? (a) 1/3 (b) 0.3 (c) x c Let g = 107.59 - 109. Let r = -1.3 - g. Let k = r + -0.21. Which is the third biggest value? (a) 0.2 (b) k (c) 1 b Let g = -9.9 - -1.9. Let m = 8.2 + g. Let i be ((-25)/60)/(5/2). Which is the third smallest value? (a) m (b) i (c) -0.6 a Let a = -1 - -2. Let r = -118.42 + 118.4. Let v = 7.4 - 7. What is the biggest value in v, r, a? a Let w = -2138 - -2126.93. Let i = w - -0.07. Let u = 11.2 + i. Which is the second biggest value? (a) 0.4 (b) u (c) 3 a Let f = 9.26 + -12.26. Which is the second smallest value? (a) 57 (b) -4 (c) f c Let j = 32/51 + -22/17. What is the second smallest value in 1.4, j, 2/9? 2/9 Suppose -22 = 11*h - 671. Let q = h - 55. Which is the smallest value? (a) 22 (b) -1/5 (c) q b Let b = -4 + 2. Let k = 3 + b. Let x = 2.07 - 0.07. What is the third biggest value in -1/8, x, k? -1/8 Let t = 14 - 21. Let y = t + 6.9. Let s = -431/6 - -72. Which is the third biggest value? (a) y (b) -0.5 (c) s b Let h = 1239 + -1236. Which is the smallest value? (a) 5 (b) h (c) -3 (d) 0.3 c Let y = -140 - -137. What is the second smallest value in -2/7, 0.1, 1, y? -2/7 Let w = -1420 + 1420.4. Which is the third smallest value? (a) w (b) 1/6 (c) 2 c Suppose 293 = -n + 287. Let t = 0.1 - 0. What is the biggest value in n, 2, t? 2 Let k = -478 + 478.04. Which is the fourth smallest value? (a) k (b) -4 (c) 0.07 (d) -6/7 c Let p = -710 - -725.86. Let d = p - -1.94. Let f = 18 - d. Which is the second smallest value? (a) 2 (b) f (c) -1 b Let k(q) = 4*q**2 - 3*q - 3. Let g be k(-1). Let o be (-4)/(-14) - ((-248)/63 + g). What is the third biggest value in o, -3/7, -0.2, 0.1? -0.2 Let k = -773 - -770. What is the fourth smallest value in 0.3, -5, k, -1/17? 0.3 Let i be 20/(-11) - (5 + 265/(-55)). Let n = 0.6 - 0.4. Which is the third biggest value? (a) i (b) n (c) 1/3 a Let l = -116.2 + 115.6. Let v = 1 - 1.08. Let n = v + 5.08. What is the third biggest value in l, n, -5? -5 Let b = -0.0915 + -0.1085. What is the third smallest value in -1, -2/3, -2/41, b? b Let i = -0.009 - -0.126. Let o = i + -0.017. Which is the second smallest value? (a) 4 (b) -0.2 (c) -0.22 (d) o b Let k = 10.2 + 0.8. Let b = -7 + 0. Let q = k + b. What is the third biggest value in 5/4, -1, q? -1 Let w be 1/((-1)/7) + (-50)/(-6). What is the third biggest value in -1/7, w, 2/3? -1/7 Let q be (-8)/(-14)*(-56)/(-16). What is the third smallest value in q, 2/13, 3/7? q Suppose 4*z - 3 = z + 5*k, 4*k + 18 = 5*z. Suppose -z = 5*p - 1. What is the biggest value in -0.3, p, 1/2? 1/2 Let t = 0.13 - -0.39. Let h = t + -0.52. Which is the fourth biggest value? (a) 2 (b) -0.08 (c) -1/3 (d) h c Let h = -0.845 + 0.545. What is the third smallest value in h, 8, 5, 1? 5 Suppose g = 3*i - 1036, -i = g - 362 + 10. Let l be -3 + 4 + i/(-427). Let u = l + 6/61. What is the second biggest value in u, -0.2, 4/9? u Suppose -3*m + 451 = -2*d, -4*m - 4*d + 166 = -402. Let o be 804/2849 + 21/m. Let r = 9/37 - o. Which is the biggest value? (a) 5 (b) 1/2 (c) r a Let v = 0.8 + -0.8. Let r = 6 - v. Let s = r + -5.6. Which is the second smallest value? (a) 3/2 (b) s (c) 4/7 c Let u = 319 - 318.7. What is the third smallest value in -4, 3, 6, u? 3 Let d be 18/(4 + -6)*(-8)/(-24). Which is the biggest value? (a) 0.06 (b) 1 (c) d b Let j = -91 - -454/5. What is the smallest value in j, 5, -3? -3 Let z = -7 + 7.3. Suppose -57*u + 50 = 278. What is the third smallest value in u, z, -5? z Let l = -683/24 - -225/8. What is the biggest value in -2/9, l, -2/17, -2/3? -2/17 Let m = 3.36 - 0.11. What is the biggest value in 3, m, 2/11, -1/3? m Let v = 0.1 - -0.3. Let l be ((-9)/(-39))/(16 - 13). What is the second biggest value in 1/4, -1, l, v? 1/4 Let p = -23 - -22.91. Let q = -3.09 - p. What is the third biggest value in 0.3, 0.2, q, 0.7? 0.2 Let x = -36 - -38.6. Let h = 3.3 - 0.3. Let o = x - h. Which is the third smallest value? (a) -2 (b) 0.5 (c) o b Let k be (5/20)/((-2)/8). Let o = 0.04 - -0.26. Let s = 0 - o. Which is the biggest value? (a) s (b) k (c) -0.06 c Let l = -199 - -200. Which is the third biggest value? (a) -5 (b) l (c) -1.8 a Let f = 217.6 + -218.1. What is the third smallest value in -120, 4, f? 4 Let i = 2.1 - 2.5. Let o = -0.1 - i. Which is the third smallest value? (a) o (b) -3 (c) 0 a Suppose -2*t = 3*t + 20. Let g be 4/12 + -4 + -2 + 5. What is the biggest value in t, g, 0, 3? 3 Let d = 331 + -422.4. Let l = d + 91. What is the second biggest value in -5, l, -4? -4 Let z = 2237.2 - 2237. Which is the smallest value? (a) -4/5 (b) z (c) -0.63 a Let v = -332 - -1325/4. What is the third biggest value in v, 2, 0.266? v Let f be 10/6 + 0 + (-62)/30. Let c(t) = -5*t**3 - 2*t - 2. Let a be c(-2). Let q be (4/a)/(1/(-3)). What is the second smallest value in q, f, -6/5? f Let q = 1/62 + 55/434. Which is the fourth smallest value? (a) -1/7 (b) 1/2 (c) 2 (d) q c Let y be -4*(2 - 3) + -7. Let u = 4.02 + -0.02. Let d = -0.069 + -1.931. Which is the biggest value? (a) y (b) d (c) u c Let u be (-447)/132 + 4 + 0. Let m = u - 4/11. Let t = 4 - 3.7. Which is the second smallest value? (a) m (b) t (c) 5 b Let k = 457 - 1833/4. Which is the second smallest value? (a) k (b) -25 (c) 4 a Let p be 55/15 + -2 + (-8)/(-6). Suppose 3*x = x + p*l + 14, 0 = -2*x + l + 6. What is the smallest value in x, 0.4, -2/9? -2/9 Suppose -h - 4*h + 145 = 4*k, -4*h + k + 95 = 0. Suppose 5*m - h + 5 = 0. Which is the biggest value? (a) 3 (b) 1 (c) m c Let j = 0.08 + 24.92. Let i = 24 - j. Let y be -1 - (-2 - 9/(-7)). Which is the third biggest value? (a) i (b) -1/3 (c) y a Let i = 0.409 - 0.39. Let q = -0.51744 + 0.11744. Which is the second smallest value? (a) -1 (b) i (c) q (d) 4/3 c Let o be (-2)/((24/(-18))/(-4)) + 18. What is the smallest value in 0.2, o, 0? 0 Let o = -1148 + 1146. Which is the smallest value? (a) -9 (b) -7 (c) o a Let n = -0.3 + 0.4. Let y = 2405 - 21644/9. What is the biggest value in 7/2, n, y? 7/2 Let l = 7726/23 - 336. Let u = 10983 + -505191/46. Let x = l + u. Which is the smallest value? (a) x (b) -0.1 (c) 2/5 b Let d = 394 + -399. What is the fourth biggest value in d, 1/3, 1/10, 2? d Suppose -3*o - 4 = 8, 4*o = -5*m - 116. Let r be ((-332)/(-64) - 5)/((-1)/m). What is the third smallest value in r, 5, -1? 5 Let l = 1.931 + 0.069. Which is the biggest value? (a) -1/6 (b) l (c) -1 b Let x = -22 - -21.5. Let j = -15 + 15. Which is the third smallest value? (a) x (b) -1.4 (c) j c Let n = 27 - 27.2. Let v = -0.3747 + 0.0747. Which is the smallest value? (a) n (b) 3 (c) v c Let z = 98.2 + -103. Let c = -4.9 - z. What is the second biggest value in -13, 0.5, c? c Let l = -293/140 + 12/35. Which is the second biggest value?
{ "pile_set_name": "DM Mathematics" }
33074 and -9/2. 33074 Calculate the common denominator of -85/50412 and -83/58814. 352884 Find the common denominator of -103/912 and -31/84. 6384 What is the smallest common multiple of 781 and 3124? 3124 Find the common denominator of 27/6127 and 56/11. 6127 What is the lowest common multiple of 362896 and 80? 1814480 What is the smallest common multiple of 12260 and 40? 24520 Calculate the common denominator of 169/27552 and -15/197456. 1184736 What is the lowest common multiple of 20754 and 13836? 41508 Calculate the common denominator of -77/150 and 61/24825. 49650 What is the least common multiple of 528 and 132? 528 Calculate the smallest common multiple of 194136 and 3494448. 3494448 Calculate the smallest common multiple of 81837 and 150. 4091850 Calculate the lowest common multiple of 745188 and 54. 6706692 Find the common denominator of -23/11220 and 35/1122. 11220 What is the common denominator of 131/2778 and 119/6? 2778 Find the common denominator of -64/447 and 7/80460. 80460 What is the common denominator of -185/54264 and -115/4522? 54264 What is the lowest common multiple of 272000 and 2000? 272000 What is the lowest common multiple of 17040 and 640? 136320 Find the common denominator of 71/4 and -71/1434. 2868 Find the common denominator of 133/612 and 71/10812. 32436 What is the common denominator of -43/712 and 21/11036? 22072 Calculate the common denominator of 0 and -85/20758. 20758 What is the common denominator of -89/16740 and -187/270? 16740 What is the common denominator of -7/65 and 71/6160? 80080 Find the common denominator of -68/1131 and -37/1170. 33930 Calculate the common denominator of 43/10457 and 56/153. 1599921 What is the common denominator of -89/20842 and 35/391? 479366 What is the common denominator of -155/936 and -149/7488? 7488 Find the common denominator of -85/3564 and -46/63. 24948 Calculate the common denominator of 49/92080 and -57/64456. 644560 Calculate the smallest common multiple of 172 and 8918. 766948 Calculate the smallest common multiple of 4677 and 21826. 65478 Calculate the common denominator of 65/87 and -83/15. 435 Calculate the least common multiple of 37490 and 461127. 4611270 Find the common denominator of -63/6224 and -27/188. 292528 What is the common denominator of -50/57741 and -7/27? 519669 Calculate the common denominator of -59/82830 and -77/50. 414150 Find the common denominator of 101/27740 and 49/2640. 3661680 What is the common denominator of -71/103149 and -56/57? 1959831 Find the common denominator of 47/246 and 37/6064. 745872 Calculate the common denominator of 49/2840 and 13/71. 2840 Calculate the lowest common multiple of 231 and 66. 462 Find the common denominator of -93/4 and 19/56932. 56932 Calculate the smallest common multiple of 81084 and 42. 567588 Calculate the common denominator of 5/123 and -75/19024. 57072 What is the lowest common multiple of 360 and 144? 720 Calculate the smallest common multiple of 1058 and 897. 41262 Calculate the lowest common multiple of 28430 and 11. 312730 What is the common denominator of -25/468203 and -24/581? 3277421 Calculate the lowest common multiple of 1152 and 22104. 353664 Calculate the common denominator of 17/199872 and 13/233184. 1399104 Calculate the common denominator of 125/85752 and -71/66696. 600264 Calculate the common denominator of 101/177340 and 81/443350. 886700 Find the common denominator of 131/63448 and -97/4120. 317240 Find the common denominator of 18/19 and 2/15141. 287679 What is the smallest common multiple of 924220 and 726? 30499260 What is the common denominator of -95/143404 and -77/12? 430212 Calculate the common denominator of -67/28 and -17/61140. 427980 What is the common denominator of 27/862 and 119/224120? 224120 Find the common denominator of 79/6 and -55/19016. 57048 Calculate the common denominator of -115/3834 and -32/7029. 42174 Calculate the common denominator of 143/1800 and -53/70850. 2550600 Calculate the smallest common multiple of 5208 and 192. 41664 What is the smallest common multiple of 655 and 70609? 353045 Calculate the common denominator of -27/8 and 93/68062. 272248 What is the smallest common multiple of 140280 and 840? 140280 Calculate the smallest common multiple of 7590 and 110. 7590 Calculate the lowest common multiple of 15664 and 18. 140976 Find the common denominator of 25/3792 and -47/522. 329904 Find the common denominator of -79/48 and -7/136648. 819888 Calculate the lowest common multiple of 2271 and 786. 595002 Calculate the common denominator of -40/758907 and 5/20511. 758907 Calculate the common denominator of -45/9731 and -53/333. 87579 Find the common denominator of 88/525 and 169/1350. 9450 Find the common denominator of 59/40 and -109/137644. 1376440 Calculate the lowest common multiple of 485162 and 10. 2425810 Find the common denominator of 1/1716 and -29/12. 1716 What is the smallest common multiple of 14663 and 430? 146630 What is the common denominator of -109/144 and -55/185256? 370512 What is the least common multiple of 171 and 22707? 431433 What is the common denominator of -58/10505 and 127/60? 126060 Find the common denominator of 67/465 and -113/7580. 704940 What is the least common multiple of 488187 and 27? 488187 Calculate the lowest common multiple of 4488 and 66792. 1135464 Calculate the least common multiple of 713592 and 17172. 6422328 What is the smallest common multiple of 192512 and 2256? 577536 Calculate the smallest common multiple of 269790 and 134895. 269790 Calculate the least common multiple of 372 and 68. 6324 Find the common denominator of -113/42264 and 125/21132. 42264 Calculate the common denominator of -19/12 and 59/45458. 272748 Calculate the lowest common multiple of 93 and 8835. 8835 Calculate the least common multiple of 1634 and 946. 17974 What is the smallest common multiple of 2012 and 716? 360148 Find the common denominator of 59/2100 and -69/1000. 21000 What is the lowest common multiple of 1700 and 29410? 294100 What is the smallest common multiple of 132 and 7182? 158004 What is the lowest common multiple of 1414 and 6868? 48076 Calculate the common denominator of 67/4 and 76/122859. 491436 Calculate the lowest common multiple of 990 and 759. 22770 What is the least common multiple of 255882 and 127941? 255882 What is the lowest common multiple of 42789 and 85578? 85578 Calculate the least common multiple of 66 and 8076. 88836 What is the least common multiple of 2480 and 10912? 54560 What is the least common multiple of 34122 and 363? 34122 Calculate the lowest common multiple of 65274 and 71208. 783288 Calculate the common denominator of -89/284160 and -97/120. 284160 Find the common denominator of 115/125346 and -27/229801. 1378806 What is the least common multiple of 14714 and 10510? 73570 Find the common denominator of -76/222145 and -12/6347. 222145 What is the least common multiple of 3 and 18067? 54201 What is the smallest common multiple of 2040 and 3740? 22440 What is the least common multiple of 6818 and 74998? 74998 What is the smallest common multiple of 15540 and 42? 15540 What is the lowest common multiple of 411 and 518819? 1556457 Find the common denominator of -14 and 8/1723481. 1723481 Calculate the least common multiple of 37832 and 198618. 794472 Find the common denominator of 59/109744 and 63/16. 109744 What is the lowest common multiple of 57642 and 6? 57642 Calculate the common denominator of -47/1000 and 33/200. 1000 What is the lowest common multiple of 402930 and 8325? 2014650 What is the common denominator of 61/6706 and -75/6706? 6706 Calculate the lowest common multiple of 1578162 and 6. 1578162 Calculate the common denominator of -71/222565 and -21/10. 445130 What is the common denominator of -6/9665 and -87/3866? 19330 What is the smallest common multiple of 16420 and 623960? 623960 What is the least common multiple of 63 and 1950? 40950 What is the smallest common multiple of 2170 and 136525? 59251850 Find the common denominator of -85/36662 and 21/4. 73324 What is the smallest common multiple of 7230 and 40970? 122910 Find the common denominator of 39/301 and -36/3139. 21973 Calculate the lowest common multiple of 109050 and 76335. 763350 What is the common denominato
{ "pile_set_name": "DM Mathematics" }
the power of 1/3, to the nearest integer? 105 What is the cube root of 5109917 to the nearest integer? 172 What is 4629134 to the power of 1/10, to the nearest integer? 5 What is the square root of 10031661 to the nearest integer? 3167 What is 279580 to the power of 1/2, to the nearest integer? 529 What is the third root of 1228532 to the nearest integer? 107 What is 159894 to the power of 1/10, to the nearest integer? 3 What is 733119 to the power of 1/10, to the nearest integer? 4 What is 13057378 to the power of 1/3, to the nearest integer? 235 What is the ninth root of 6480931 to the nearest integer? 6 What is the square root of 160047 to the nearest integer? 400 What is 1201189 to the power of 1/2, to the nearest integer? 1096 What is 241402 to the power of 1/8, to the nearest integer? 5 What is the square root of 1817603 to the nearest integer? 1348 What is 452534 to the power of 1/3, to the nearest integer? 77 What is the square root of 17090266 to the nearest integer? 4134 What is 28433874 to the power of 1/2, to the nearest integer? 5332 What is 2743051 to the power of 1/2, to the nearest integer? 1656 What is the square root of 4079029 to the nearest integer? 2020 What is 21909543 to the power of 1/4, to the nearest integer? 68 What is the ninth root of 153463 to the nearest integer? 4 What is 2445486 to the power of 1/6, to the nearest integer? 12 What is the cube root of 1624572 to the nearest integer? 118 What is the cube root of 19247392 to the nearest integer? 268 What is 14999144 to the power of 1/3, to the nearest integer? 247 What is 243125 to the power of 1/9, to the nearest integer? 4 What is 261417 to the power of 1/6, to the nearest integer? 8 What is the ninth root of 7359462 to the nearest integer? 6 What is the sixth root of 8203531 to the nearest integer? 14 What is 1290670 to the power of 1/3, to the nearest integer? 109 What is 1260403 to the power of 1/4, to the nearest integer? 34 What is 251415 to the power of 1/2, to the nearest integer? 501 What is the eighth root of 139458 to the nearest integer? 4 What is the third root of 3339524 to the nearest integer? 149 What is the square root of 345190 to the nearest integer? 588 What is the eighth root of 200475 to the nearest integer? 5 What is the cube root of 24390196 to the nearest integer? 290 What is 1847722 to the power of 1/4, to the nearest integer? 37 What is the fifth root of 7855239 to the nearest integer? 24 What is the square root of 510325 to the nearest integer? 714 What is the fourth root of 540873 to the nearest integer? 27 What is 2184695 to the power of 1/3, to the nearest integer? 130 What is 23350193 to the power of 1/3, to the nearest integer? 286 What is the square root of 539714 to the nearest integer? 735 What is 1287600 to the power of 1/2, to the nearest integer? 1135 What is 4527271 to the power of 1/9, to the nearest integer? 5 What is 579806 to the power of 1/10, to the nearest integer? 4 What is the cube root of 251740 to the nearest integer? 63 What is the tenth root of 999654 to the nearest integer? 4 What is 15146033 to the power of 1/2, to the nearest integer? 3892 What is the cube root of 1009216 to the nearest integer? 100 What is the ninth root of 465217 to the nearest integer? 4 What is 35715981 to the power of 1/3, to the nearest integer? 329 What is 115852 to the power of 1/2, to the nearest integer? 340 What is the third root of 7694899 to the nearest integer? 197 What is the eighth root of 7079668 to the nearest integer? 7 What is the third root of 5454927 to the nearest integer? 176 What is the square root of 10791953 to the nearest integer? 3285 What is the square root of 6628601 to the nearest integer? 2575 What is the eighth root of 3063274 to the nearest integer? 6 What is 5983004 to the power of 1/9, to the nearest integer? 6 What is the fourth root of 740150 to the nearest integer? 29 What is 5239931 to the power of 1/10, to the nearest integer? 5 What is 395216 to the power of 1/9, to the nearest integer? 4 What is the eighth root of 8125876 to the nearest integer? 7 What is 1637569 to the power of 1/5, to the nearest integer? 17 What is 666512 to the power of 1/5, to the nearest integer? 15 What is 26970372 to the power of 1/2, to the nearest integer? 5193 What is 11983616 to the power of 1/6, to the nearest integer? 15 What is 9065191 to the power of 1/2, to the nearest integer? 3011 What is 4299522 to the power of 1/10, to the nearest integer? 5 What is the eighth root of 7828915 to the nearest integer? 7 What is the cube root of 26956860 to the nearest integer? 300 What is the cube root of 932002 to the nearest integer? 98 What is 3837034 to the power of 1/3, to the nearest integer? 157 What is 3180594 to the power of 1/10, to the nearest integer? 4 What is the sixth root of 21187 to the nearest integer? 5 What is the square root of 10285950 to the nearest integer? 3207 What is the cube root of 770600 to the nearest integer? 92 What is 445995 to the power of 1/2, to the nearest integer? 668 What is the third root of 778696 to the nearest integer? 92 What is 2948947 to the power of 1/9, to the nearest integer? 5 What is 587086 to the power of 1/6, to the nearest integer? 9 What is the sixth root of 14203471 to the nearest integer? 16 What is 6042784 to the power of 1/10, to the nearest integer? 5 What is 767942 to the power of 1/3, to the nearest integer? 92 What is the third root of 849992 to the nearest integer? 95 What is 1796997 to the power of 1/2, to the nearest integer? 1341 What is the square root of 2348762 to the nearest integer? 1533 What is 1353551 to the power of 1/2, to the nearest integer? 1163 What is the square root of 15241957 to the nearest integer? 3904 What is the seventh root of 279261 to the nearest integer? 6 What is 2828453 to the power of 1/3, to the nearest integer? 141 What is the sixth root of 318023 to the nearest integer? 8 What is the cube root of 27464258 to the nearest integer? 302 What is 1697837 to the power of 1/3, to the nearest integer? 119 What is 2260067 to the power of 1/2, to the nearest integer? 1503 What is 26298918 to the power of 1/9, to the nearest integer? 7 What is the square root of 536527 to the nearest integer? 732 What is the square root of 401553 to the nearest integer? 634 What is 109535 to the power of 1/5, to the nearest integer? 10 What is 1447843 to the power of 1/4, to the nearest integer? 35 What is the fourth root of 15248162 to the nearest integer? 62 What is 718272 to the power of 1/3, to the nearest integer? 90 What is the ninth root of 31022868 to the nearest integer? 7 What is the cube root of 3141512 to the nearest integer? 146 What is 104926 to the power of 1/8, to the nearest integer? 4 What is the tenth root of 1060316 to the nearest integer? 4 What is the square root of 635359 to the nearest integer? 797 What is 729124 to the power of 1/6, to the nearest integer? 9 What is 192206 to the power of 1/3, to the nearest integer? 58 What is 20926585 to the power of 1/2, to the nearest integer? 4575 What is the third root of 12017583 to the nearest integer? 229 What is the square root of 317611 to the nearest integer? 564 What is the ninth root of 1101113 to the nearest integer? 5 What is 148639 to the power of 1/10, to the nearest integer? 3 What is the square root of 1040772 to the nearest integer? 1020 What is the fifth root of 369717 to the nearest integer? 13 What is 302075 to the power of 1/2, to the nearest integer? 550 What is the third root of 322375 to the nearest integer? 69 What is 1121335 to the power of 1/5, to the nearest integer? 16 What is the square root of 143654 to the nearest integer? 379 What is the seventh root of 6062199 to the nearest integer? 9 What is the third root of 4322633 to the nearest integer? 163 What is 212638 to the power of 1/3, to the nearest integer? 60 What is 138811 to the power of 1/5, to the nearest integer? 11 What is the ninth root of 7350718 to the nearest integer? 6 What is the square root of 1783738 to the nearest integer? 1336 What is the seventh root of 1497474 to the nearest integer? 8 What is 147833 to the power of 1/2, to the nearest integer? 384 What is 65295 to the power of 1/2, to the near
{ "pile_set_name": "DM Mathematics" }
f k(b) wrt b? 20*b**3 Let i(b) be the first derivative of -b**6/60 - b**5/20 + b**2 + 1. Let v(d) be the second derivative of i(d). Find the third derivative of v(f) wrt f. -12 What is the derivative of 8 + 5 - 50*u**4 + 57*u**4 wrt u? 28*u**3 Let p(x) = x**2 - x - 3. Let c be p(-3). Find the second derivative of -f**3 + 9 - 2*f - c wrt f. -6*f What is the first derivative of 3*z**3 - 36*z - 39 - 5*z**3 + 66*z - 25*z wrt z? -6*z**2 + 5 Let u(d) = -d - 4. Let g be u(-5). Differentiate g - 56*i + 56*i + 5*i**3 wrt i. 15*i**2 Let c(d) = -10*d**2 + 5*d - 3. Let n(i) = -19*i**2 + 10*i - 5. Let j(p) = -5*c(p) + 3*n(p). What is the second derivative of j(w) wrt w? -14 Suppose 78 - 22 = 4*o. What is the derivative of -11 + 28 + 9*j - o wrt j? 9 Let f(t) be the third derivative of 1/70*t**7 + 0 - 2*t**2 + 0*t**4 + 0*t + 0*t**5 - 2/3*t**3 + 0*t**6. Differentiate f(q) wrt q. 12*q**3 Let k(j) = -18*j**2 + 33*j + 18. Let h(w) = 1. Let t(z) = 18*h(z) - k(z). What is the second derivative of t(i) wrt i? 36 Let h(p) = -p - 2. Let x be h(-4). Find the third derivative of -y**x + y + 4*y - y**6 - 5*y wrt y. -120*y**3 Suppose 5*r - o - 17 = 0, 2*r + 2*r + o = 10. What is the first derivative of 0*c**3 + 2 + 2*c**r + 0*c**3 + c**3 wrt c? 9*c**2 Let u(s) be the first derivative of 0 - 3*s + 1 + s - s**3 - 3. What is the derivative of u(j) wrt j? -6*j Let x(p) = -78*p**2 - 64. Let z(w) = -52*w**2 - 43. Let l(s) = 5*x(s) - 7*z(s). Differentiate l(g) with respect to g. -52*g Suppose 0 = 3*c + 1 - 10. Let k(d) be the third derivative of 0 + 0*d**4 + 0*d - 1/6*d**c + 1/30*d**5 + d**2. What is the first derivative of k(f) wrt f? 4*f Let h(d) be the first derivative of 6 + 0*d**3 - 1/4*d**4 + 0*d + 2*d**2. Find the second derivative of h(t) wrt t. -6*t Let g(p) be the second derivative of 3/2*p**2 + 0*p**5 + 0*p**4 + 0 + 1/30*p**6 + 2*p + 0*p**3. What is the first derivative of g(m) wrt m? 4*m**3 Find the third derivative of 238 - p**3 - 238 - 3*p**2 wrt p. -6 What is the third derivative of 2*x**2 - 11*x**2 + x**2 + 3*x**2 - 28*x**6 wrt x? -3360*x**3 Let s(p) be the first derivative of p**4/2 - 8*p + 7. What is the derivative of s(m) wrt m? 6*m**2 Let f(c) be the first derivative of c**7/280 + c**5/60 - c**3/3 + 2. Let p(a) be the third derivative of f(a). What is the second derivative of p(g) wrt g? 18*g Let f(s) be the first derivative of 4*s**7/7 - 3*s**3 - 3. Find the third derivative of f(p) wrt p. 480*p**3 Let t(u) be the second derivative of u**6/90 - u**4/6 + 5*u**3/6 + 2*u. Let n(f) be the second derivative of t(f). Differentiate n(w) with respect to w. 8*w Let x(r) be the first derivative of 3*r**7/70 + r**4/12 - r**2 - 9. Let t(h) be the second derivative of x(h). What is the second derivative of t(a) wrt a? 108*a**2 Let l be ((-5)/(-4))/(1/(-4)). Let w = -3 - l. Find the third derivative of 2*i**2 - 2*i**w - 2*i**2 + i**3 wrt i. 6 Find the second derivative of -30*z**4 + 56*z**4 - 4*z - 15*z**4 wrt z. 132*z**2 Let i(j) be the second derivative of -5*j**4/12 - j**3/2 - 8*j. Find the second derivative of i(u) wrt u. -10 Suppose -4*k - 115 = 5*u, -2*k = -k + u + 29. Let f be (k/(-25))/((-2)/(-10)). Find the third derivative of 6*g**6 - 4*g**2 - 5*g**f + 3*g**2 wrt g. 120*g**3 Let c(s) = -s**2 + 8*s. Let u be c(9). Let x = u + 11. What is the second derivative of 4*m**3 - 12 + 12 - x*m wrt m? 24*m Differentiate -40 + 58 - 25*y**3 - 32 wrt y. -75*y**2 Suppose 0*r = -5*r + 15. Differentiate 3*n**r + 8 - 6 + 1 with respect to n. 9*n**2 Let k be 0 + 1 + (-3)/(-3). Find the second derivative of r + 5*r - 3*r + k*r**2 wrt r. 4 Let b(n) be the third derivative of -2*n**7/35 + 7*n**3/3 + 14*n**2. Differentiate b(k) wrt k. -48*k**3 Suppose 0 = 5*f - 4*f - 2. Let i = 13 + -12. Differentiate i + 4*c**f - 5*c**2 - 3*c**2 with respect to c. -8*c Suppose -5*b - 8 + 25 = -2*g, -b + 1 = -g. Suppose m + g*z = 22, 4*z + 5 = 2*m + 21. What is the second derivative of -m*a**3 + 0*a + 2*a + a**3 wrt a? -6*a Let r be 3*(1 + 0 - 0). Find the third derivative of -3*t**3 - 4*t**2 + 5*t**2 + 0*t**r + 2*t**2 wrt t. -18 Let w(x) be the first derivative of x**4/12 - 5*x**3/6 - 5*x - 4. Let m(c) be the first derivative of w(c). Find the second derivative of m(d) wrt d. 2 Let v(q) = -7*q**2 - 4*q + 15. Let k(t) = t**2 + t. Let j(m) = -4*k(m) - v(m). What is the first derivative of j(z) wrt z? 6*z Let q be 3/2*16/6. Suppose 0 = 3*g + 2*k - 26, -5*g - q*k + 2*k = -42. Differentiate 8*y + 2 - g*y + 2*y**3 wrt y. 6*y**2 Let u(j) be the second derivative of -4*j**5/5 + 5*j**3/3 + 20*j. Find the second derivative of u(o) wrt o. -96*o Let g(p) be the third derivative of -p**9/56 + p**5/60 - 3*p**2. What is the third derivative of g(x) wrt x? -1080*x**3 Let c(d) be the first derivative of 6*d**5/5 + 3*d**2 + 2. What is the second derivative of c(a) wrt a? 72*a**2 Let d(p) = 4*p. Let i be d(1). Suppose -i*m + 6*m - 6 = 0. What is the second derivative of -m*n + 5*n + 2*n**2 - 3*n wrt n? 4 Let y = 6 - 4. Let m(l) = l**2 - 5*l + 2. Let o be m(5). What is the third derivative of 4*p**4 - 5*p**4 + 3*p**2 - y*p**o wrt p? -24*p Let q(r) = 9*r**4 + 5*r**3 - r**2 - 5. Let a(k) = -k**4 - k**3 + 1. Let v(w) = -10*a(w) - 2*q(w). What is the third derivative of v(m) wrt m? -192*m Let r(x) be the third derivative of x**6/60 - x**5/24 - x**3/2 + 7*x**2. Let s(k) be the first derivative of r(k). Find the second derivative of s(w) wrt w. 12 Let y(v) = 3*v + 6. Let j(p) = p**2 + 4*p + 6. Let u be j(-5). Let o(g) = -6*g - 12. Let f(h) = u*y(h) + 6*o(h). Differentiate f(w) with respect to w. -3 Differentiate 48 - 28 + 4 + 32*w**2 with respect to w. 64*w What is the third derivative of 9*u**3 + 7*u**2 + u**3 + u**3 wrt u? 66 Let n(h) be the first derivative of 7/3*h**3 + 0*h + 0*h**2 + 0*h**4 - 3/5*h**5 + 5. What is the third derivative of n(q) wrt q? -72*q Let q(p) = -2*p - 10. Let f be q(-12). Find the third derivative of 6*u + 7*u**6 - f*u + 6*u**2 + 8*u wrt u. 840*u**3 Suppose 3*m - 4*d - 13 = 0, 0 = d + 3*d + 4. What is the third derivative of m*c**2 - 14*c - 2*c**5 + 14*c wrt c? -120*c**2 Let y(k) be the third derivative of 15*k**4/8 + 37*k**3/6 + 3*k**2. Differentiate y(l) wrt l. 45 Let n(t) = -11*t**3 + 11*t**2 - 16*t + 7. Let y(u) = 5*u**3 - 6*u**2 + 8*u - 4. Let x(s) = -4*n(s) - 7*y(s). Find the third derivative of x(h) wrt h. 54 Let q(y) be the third derivative of -11*y**7/210 - 5*y**3/2 + y**2. Differentiate q(i) wrt i. -44*i**3 Let t(h) = -15*h**2 - h - 5. Let z(k) = -23*k**2 - 2*k - 8. Suppose 2*i - 2 = 8. Let g(a) = i*z(a) - 8*t(a). What is the second derivative of g(m) wrt m? 10 Let p(w) be the first derivative of 1 - w + 1/12*w**4 + 0*w**3 + 1/2*w**2. Let v(r) be the first derivative of p(r). Differentiate v(u) with respect to u. 2*u Let m(i) = i**2 + 3*i. Suppose -3*z = 2 + 7. Let g be m(z). What is the derivative of 3*d**3 - 2*d**3 + 1 + g wrt d? 3*d**2 Find the third derivative of -17*c**2 + 13*c**6 + 11*c**6 - 32*c**4 + 32*c**4 wrt c. 2880*c**3 Find the third derivative of -4*c**2 + 0*c + 9*c**5 + c**3 + 0*c - 5*c**5 wrt c. 240*c**2 + 6 Let z(f) be the third derivative of 0 + 0*f**6 - 1/6*f**4 + 0*f**5 + 0*f + 0*f**3 - 2/105*f**7 - 4*f**2. Find the second derivative of z(s) wrt s. -48*s**2 Find the third derivative of 13*s**2 + 5*s**2 + 2*s**3 + 0*s**3 + 2*s**3 wrt s. 24 Suppose -11*o + 9 + 35 = 0. Suppose -4*d - 4 + 0 = -j, 0 = d - j + 4. Find the second derivative of o*p + d*p + 4*p**5 - 3*p wrt p. 80*p**3 Let y(o) be the third derivative of o**9/504 - o**5/60 - 2*o**2. Find the third derivative of y(q) wrt q. 120*q**3 Let l(o) = o**3 + 7*o**2 - 2*o - 8. Let a be l(-7). What is the second derivative of t - a*t + 3*t + 3*t**2 wrt t? 6 Let r(b) = 3*b**3 - 2*b**2 - 5*b. Let t(g) = g**3 - g**2 - g. Let k(x) = -r(x) + 5*t(x). What is the third derivative of k(s) wrt s? 12 Let h(a) be the second derivative of 0*a**5 - 1/6*a**6 + 0*a**2 + 0*a**4 + 0 - 2*a + 1/2*a**3. Find the second derivative of h(z) wrt z. -60*z**2 Let f(l) be the first derivative of -l**5/30 - l**4/12 + 2*l**3/3 + 3. Let b(k) be the third derivative of f(k). What is the derivative of b(j) wrt j? -4 Differentiate -30*r + 2*r**4 - 38 - 17*r + r**4 + 63*r with respect to r. 12*r**3 + 16 What is the second derivative of 7*h**3 - 2*h**
{ "pile_set_name": "DM Mathematics" }
derivative of -12*m**5 - 3*m**j + 22*m**2 + 3*m**5 wrt m. -720*m**2 Let m(a) be the third derivative of 0*a**4 + 23/30*a**5 - 22*a**2 + 0*a + 23/3*a**3 + 0. What is the first derivative of m(g) wrt g? 92*g Let l(s) be the second derivative of -5*s**7/42 - 3*s**4 + s**3/6 - 75*s - 2. Find the third derivative of l(t) wrt t. -300*t**2 Let y(q) be the third derivative of -59*q**7/70 + 85*q**3/6 + 9*q**2 + 8. Differentiate y(w) wrt w. -708*w**3 What is the derivative of 47*n**2 - 42606 + 42491 + 6*n**2 wrt n? 106*n Let x be 2 + 20/(-5) + 5. What is the third derivative of 24*c**2 + 10*c**3 - 11*c**2 - 7*c**2 + 5*c**x wrt c? 90 Let u be ((-45)/6)/((-6)/8). Let v be (-5)/u - 69/(-6). What is the second derivative of 3 - v + 3*z**2 + 8 - 5*z wrt z? 6 Let r(q) = 15*q - 6. Let b = 20 - 17. Let u be 9/b - (5 + -6). Let v(a) = 8*a - 3. Let t(n) = u*r(n) - 9*v(n). What is the derivative of t(y) wrt y? -12 Let q = 60 - 57. Differentiate -6 - 5 - 6 - 5*t**q wrt t. -15*t**2 Let d(t) be the second derivative of 69*t**4/4 - t**3/3 - 13*t**2/2 - 30*t - 4. What is the second derivative of d(n) wrt n? 414 Let z(v) be the second derivative of 6*v**2 + 0 + 0*v**5 + 0*v**3 + 0*v**4 - 8*v + 2/5*v**6. Find the first derivative of z(t) wrt t. 48*t**3 Let o(g) be the first derivative of -2*g**7 - g**3/3 + 5*g - 92. Find the third derivative of o(d) wrt d. -1680*d**3 Suppose 16 = 3*t + t. Let m = t + -2. What is the third derivative of k**m + 2*k**2 + 0*k**2 + 5*k**3 - 5*k**2 wrt k? 30 What is the third derivative of -19*w**2 - 3*w**5 - 7*w**3 + 0*w**5 - 3 - 4*w**5 wrt w? -420*w**2 - 42 Let l = -36 - -38. Find the third derivative of -36*u**3 + 36*u**3 - 3*u**l + 8*u**4 wrt u. 192*u Let x(i) = -29*i + 1. Let y be x(-2). Find the third derivative of y*u**3 - 46*u**3 - 15*u**2 + 0 + 0 wrt u. 78 Let l(j) be the first derivative of 9*j**4/2 - 563*j**3/3 - 522. Find the third derivative of l(a) wrt a. 108 What is the derivative of -3 - 169 - 137*n**2 - 211 wrt n? -274*n Let c = 83 + -81. What is the third derivative of -150*j**6 - 5*j**2 - 6*j**c + 171*j**6 wrt j? 2520*j**3 Let k = -13 + 17. Find the third derivative of -67*v**k + 94*v**4 - 3*v**2 - 5*v**2 wrt v. 648*v Let b(o) = 534*o + 4. Let z(s) = -534*s - 15. Let l(m) = -5*b(m) - 4*z(m). What is the derivative of l(t) wrt t? -534 Let o(r) = -106*r**2 + 19. Let f(n) = 2*n**2 + n + 1. Let l(v) = -f(v) + o(v). What is the second derivative of l(p) wrt p? -216 Let n(s) = -67*s - 398. Let w be n(-6). Suppose t = -0*t + 3, -2*t + 4 = -2*b. Find the first derivative of -8*r + w*r + 2*r**2 + b + 4*r wrt r. 4*r Let o = 106 + -104. What is the second derivative of -14*h**2 + 1 - 15*h**o + 4 + 4*h - 7*h**2 wrt h? -72 Let a(w) = 160*w + 435. Let u(d) = -165*d - 433. Let t(r) = -4*a(r) - 3*u(r). Find the first derivative of t(y) wrt y. -145 Let z(h) be the first derivative of h**2 + 0*h + 4/3*h**3 + 23. Find the second derivative of z(q) wrt q. 8 What is the derivative of -113*l - 79 - 6 - 85 - 27*l wrt l? -140 Let k(p) be the third derivative of -41/210*p**7 - 5/3*p**4 + 0*p**6 + 0*p**5 - 41*p**2 + 0*p + 0*p**3 + 0. What is the second derivative of k(w) wrt w? -492*w**2 Find the second derivative of -2*j**2 - 131*j**3 - 4*j + 84*j + 99*j + j**2 wrt j. -786*j - 2 Let x(m) be the first derivative of -36*m**7/7 - 2*m**5/5 + 56*m**3/3 - 38. What is the third derivative of x(y) wrt y? -4320*y**3 - 48*y Let d(z) be the first derivative of 0*z**4 + 0*z - 19 + 5/2*z**2 + 0*z**3 - 3*z**5. What is the second derivative of d(c) wrt c? -180*c**2 Let u = -7/41 - -69/164. Let b(v) be the third derivative of -u*v**4 + 0 + 0*v + 5*v**2 - v**3. What is the derivative of b(y) wrt y? -6 Let l(b) be the third derivative of 127*b**7/210 + 175*b**3/6 - 124*b**2. Differentiate l(x) wrt x. 508*x**3 Let z be (-1)/(-4) - 2808/(-32). Let u be (-11)/z + (-97)/(-8). Differentiate 2 - 4 + u*l - 7*l + 5 wrt l. 5 Differentiate 4*k**4 + 128 - 3*k**4 - 8*k**2 + 12*k**2 - 28*k**2 - 34*k**2 with respect to k. 4*k**3 - 116*k Let o(z) = z**2 + z + 2. Let g(c) = -239*c**3 + 4*c**2 + 65*c + 5. Let h(j) = -g(j) + 3*o(j). What is the second derivative of h(u) wrt u? 1434*u - 2 Suppose 5*w + 5*x + 7 - 257 = 0, -126 = -3*w + 5*x. Find the third derivative of -13*k**3 - 33*k**3 + 44*k**2 - 6*k - w*k**2 wrt k. -276 Let g(i) be the third derivative of 0*i**4 - 19/6*i**3 + 7/20*i**5 + 0 + 0*i + 20*i**2. What is the derivative of g(o) wrt o? 42*o Find the third derivative of -581*h**6 + 364*h**6 + 58*h**2 + 10*h**2 + 23*h**2 wrt h. -26040*h**3 Let q(l) = 475*l**3 + 8*l**2 + 5*l + 75. Let n(o) = -473*o**3 - 6*o**2 - 3*o - 74. Let v(p) = 4*n(p) + 3*q(p). Find the second derivative of v(z) wrt z. -2802*z Suppose 0 = -z + 4*z - 24. Suppose 3*a + a - z = 0. Find the third derivative of -o**2 - 3*o**6 + 6*o**6 + 4*o**a wrt o. 360*o**3 Suppose 4*d = 28*d - 13*d. Let c(s) be the second derivative of 3/5*s**5 + d*s**2 + 0*s**4 + 7*s - 7/3*s**3 + 0. What is the second derivative of c(j) wrt j? 72*j Let k(j) be the second derivative of 237*j**7/14 + 5*j**3 - 5*j**2/2 + 4*j - 37. Find the second derivative of k(l) wrt l. 14220*l**3 Let l(m) = 3*m + 2. Let h(z) = 2*z**2 - 131*z - 125. Let o(g) = -h(g) - 4*l(g). Find the first derivative of o(c) wrt c. -4*c + 119 Let j = -31 + 39. What is the third derivative of 10*c**5 - j*c**2 + 3*c**2 - c**2 - 6*c**2 wrt c? 600*c**2 What is the third derivative of -165*z**2 - 143268*z + 143268*z + 354*z**5 wrt z? 21240*z**2 Let d(y) be the first derivative of 15*y**6 + 188*y**3/3 + 68. What is the third derivative of d(q) wrt q? 5400*q**2 Let o(x) be the first derivative of -370*x**2 + 164*x + 201. Find the first derivative of o(a) wrt a. -740 Suppose 5*x + 3*s - 16 = 0, -7*s = -2*s - 10. Let q be 26 + (-1 - -3 - 1). Differentiate -x - 15*p + q*p - 16*p with respect to p. -4 Let r be ((-10)/(-25))/((-1)/(-5)). Suppose 0*q + 11 = c + 4*q, -8 = -r*c - q. Find the second derivative of 2*k + 3*k**3 - k**3 - 2*k**c - 2*k**4 wrt k. -24*k**2 Let h(z) be the second derivative of z**6/6 + 2*z**5 - 3*z**4/4 - 7*z**2/2 - 6*z + 26. What is the third derivative of h(b) wrt b? 120*b + 240 Let y(k) be the first derivative of -4*k**7/7 - 5*k**6/6 - 4*k**3/3 + k + 12. Find the third derivative of y(h) wrt h. -480*h**3 - 300*h**2 Let m(h) be the third derivative of 0*h + 0 - 17/6*h**3 + 0*h**4 + 15*h**2 + 7/20*h**5. Differentiate m(y) with respect to y. 42*y Find the second derivative of -708*i - 67*i**4 - 67*i**4 + 744*i - i**4 wrt i. -1620*i**2 Let x(j) = -553*j - 538. Let g(l) = -2763*l - 2693. Let b(d) = 2*g(d) - 11*x(d). What is the first derivative of b(t) wrt t? 557 Let f(a) be the first derivative of -2*a**5/5 - 65*a**3/3 + 139*a**2/2 - 115. What is the second derivative of f(y) wrt y? -24*y**2 - 130 Let h(i) = -71*i - 25. Let a(y) = -70*y - 23. Let u(w) = -3*a(w) + 2*h(w). What is the derivative of u(s) wrt s? 68 Differentiate -535*h - 87 - 279 + 1152*h - 530*h with respect to h. 87 Let p(c) = 1 - c + 0*c + 34*c**3 - 35*c**3. Let j(a) = -42*a**3 + 7*a**2 - 35*a + 35. Let n(o) = j(o) - 35*p(o). Find the third derivative of n(k) wrt k. -42 Let v(i) = -85*i**2 + 68*i + 1. Let c(y) = 83*y**2 - 69*y. Let l(k) = -4*c(k) - 3*v(k). What is the second derivative of l(p) wrt p? -154 What is the first derivative of 2*n + 211 + 164 + 426*n**3 + 16*n**4 + 434*n**3 - 860*n**3 wrt n? 64*n**3 + 2 Let w(l) = -436*l**3 + 328*l**2 - 21*l + 7. Let k(j) = -145*j**3 + 109*j**2 - 6*j + 2. Let c(g) = 7*k(g) - 2*w(g). Find the third derivative of c(y) wrt y. -858 Suppose 0 = f - 4*l + 3, 5*f + 0*f + l - 27 = 0. Find the second derivative of -6*k - 9*k + 9*k**2 + f*k**2 wrt k. 28 Let z be (3 - 0) + -1 + 0. Find the first derivative of -9*i**2 + 5*i**z + 16 - 7*i**2 wrt i. -22*i Let h(t) be the second derivative of -3*t**8/56 - 67*t**6/30 - 55*t**4/2 - 381*t. Find the third derivative of h(j) wrt j. -360*j**3 - 1608*j Suppose -3*p + 6 = 4*q, -3*q - 10 = -4*p - 2. Let d(s) be the first derivative of 1/2*s**4 - 7*s - 9 + 0*s**3 + 0*s**p. Differentiate d(n) with respect to n. 6*n**2 Let a(d) be the second derivative of -1/6*d**3 + 17/2*d**2 + 0 + 18*d. Find the first derivative of a(m) wrt m. -1 Let j(w) be the first derivative of 35*w**4/4 - 2*w**3/3 + 9*w + 36. Find the third derivative o
{ "pile_set_name": "DM Mathematics" }
ect to n. 2 Suppose -3*o + 2*o = -2. What is the second derivative of -2*u**5 - 3*u - 3*u**5 - 11*u**o + 11*u**2 wrt u? -100*u**3 Let i(b) be the first derivative of -2*b**6/3 - 3*b**4/4 - 2*b**3/3 - 6*b + 6. What is the third derivative of i(w) wrt w? -240*w**2 - 18 Let o = 2 - 0. Suppose -6*k + o*k + 8 = 0. What is the second derivative of -l**k - 2*l + 2*l**2 + l**2 wrt l? 4 Let b(r) be the second derivative of -1/2*r**3 - 2*r**2 + 5*r + 0. What is the derivative of b(i) wrt i? -3 Find the third derivative of -3*w**2 + 21*w**5 + 13*w**5 + 20*w**2 wrt w. 2040*w**2 Let v be 43/(-9) - (-2)/(-9). Let s = v + 8. What is the second derivative of 6*l**s - 3*l + l - 2*l**3 - l wrt l? 24*l Let q(z) = 4*z**2 + 2*z + 1. Let k be q(-1). Find the third derivative of 2*o**2 + 6*o - 6*o - o**2 + 2*o**k wrt o. 12 Find the third derivative of 1737*d - 1737*d - 5*d**2 + 11*d**6 wrt d. 1320*d**3 Let j = 4 + -4. Suppose j = -2*o - 3*o + 15. What is the second derivative of -2*z**2 + o*z + 3*z**2 - 2*z wrt z? 2 Suppose 0 = -2*b - 0*b - 10. Let u(h) = -2 - 5*h - 3 - 3 - 3*h**2 + 11. Let r(v) = v**2 + 3*v - 2. Let f(a) = b*r(a) - 3*u(a). Differentiate f(i) wrt i. 8*i Let u(j) be the third derivative of -j**6/60 - j**3/6 - 6*j**2. What is the derivative of u(t) wrt t? -6*t**2 Differentiate -32*g**2 + 54*g**2 - 26*g**2 - 4 - 4*g wrt g. -8*g - 4 Let w(o) be the second derivative of 13*o**4/12 + 25*o**2/2 - 10*o. What is the derivative of w(g) wrt g? 26*g Let d(m) = -m**2 - 4*m + 1. Let b be d(-3). Find the second derivative of 8*s - b*s - s**3 + 0*s**3 wrt s. -6*s Let a(z) be the second derivative of 0 + 0*z**2 + 0*z**5 + 0*z**6 + 1/28*z**8 + 0*z**3 + 1/4*z**4 + 0*z**7 + 3*z. What is the third derivative of a(t) wrt t? 240*t**3 Let x(s) = -s**5 - s**4 + s**2 - s - 1. Let q(d) = 3*d**5 + 2*d**4 - 2*d**2 + 8*d + 2. Let n(k) = -q(k) - 2*x(k). Find the second derivative of n(w) wrt w. -20*w**3 Let b(h) be the third derivative of h**7/70 + h**4/2 + 9*h**2. Find the second derivative of b(v) wrt v. 36*v**2 Let z(r) be the first derivative of r**9/252 - r**5/20 - 3*r**2/2 - 3. Let i(g) be the second derivative of z(g). Find the third derivative of i(l) wrt l. 240*l**3 Let x(g) be the third derivative of -7*g**5/60 + 11*g**4/24 - 13*g**2. Find the second derivative of x(o) wrt o. -14 Let g(k) = -10*k**3 - 8*k**2 - 8*k - 26. Let u(v) = -7*v**3 - 5*v**2 - 5*v - 17. Let h(j) = 5*g(j) - 8*u(j). Differentiate h(a) with respect to a. 18*a**2 Suppose -16 = -3*s - 4*l, s - 2 = l + l. Suppose j + s = 2*j. What is the first derivative of 2*x**2 + 8 - 1 - x**2 - j wrt x? 2*x Suppose r + 0 - 4 = 0. Let v(f) be the second derivative of -1/6*f**3 + 3*f + 0*f**r + 0 - 3/20*f**5 + 0*f**2. Find the second derivative of v(g) wrt g. -18*g Suppose 5*j - 2*y = 0, 4*j - 28 = -6*y + 2*y. Suppose -g = 4*w + 2, -4*w + 5*g + 10 = -0*w. Differentiate -j - 6*i**4 + 2*i**4 + w with respect to i. -16*i**3 Let f = 40 - 27. Suppose 4 = -4*i, 8*d - 3*i - f = 3*d. Find the second derivative of -2*v**d + v + 3 - 3 wrt v. -4 Let z = 55 - 55. Let o(x) be the first derivative of -4/3*x**3 + 0*x - 3/5*x**5 + 0*x**4 + z*x**2 + 1. What is the third derivative of o(q) wrt q? -72*q Let p = 5 - 4. Suppose -n + 4*m - p = 0, 5*m - 14 = -4*n + n. Differentiate -h**n - 2*h**3 + 2 + 4*h**3 with respect to h. 3*h**2 Let k = -1 - -5. Find the third derivative of 4*j**2 - 3*j**k + 2*j**4 + 0*j**2 + 5*j**4 wrt j. 96*j Suppose 0 = -2*p + c - 9, -6*c - 33 = 4*p - 5*c. Let h = -3 - p. What is the second derivative of 2*i - 3*i**3 + h*i**3 - 3*i wrt i? 6*i Suppose 2*t - 12 = -2*t. What is the third derivative of 2*c**2 + 0*c**3 + 2*c**2 + 4*c**t wrt c? 24 Let d(s) be the second derivative of 11*s**4/12 + 5*s**3/3 - 18*s. Find the second derivative of d(t) wrt t. 22 Let y = 5 - 3. Find the third derivative of -5*u**2 + 4*u**y + 9*u**5 + 6*u**4 - 6*u**4 wrt u. 540*u**2 Let z(q) be the second derivative of -q**5/30 - 5*q**3/6 - 2*q**2 + 4*q. Let r(h) be the first derivative of z(h). Differentiate r(u) with respect to u. -4*u Let g be 0*(2 + 1)/(-3). Find the third derivative of g*p - p**3 + 0*p + 0*p - 2*p**2 wrt p. -6 Let s(m) be the first derivative of -13*m**4/4 + 61*m - 13. Differentiate s(r) wrt r. -39*r**2 Let b(n) be the second derivative of 3*n**5/10 + 7*n**4/12 - 5*n. Find the third derivative of b(x) wrt x. 36 Let h(q) be the second derivative of q**8/2240 + q**6/240 - q**4/6 - 2*q. Let f(b) be the third derivative of h(b). What is the second derivative of f(n) wrt n? 18*n Suppose 5*u - 15 = -0*u. Suppose -5*d - 15 = 0, 2 = -5*b - 4*d + 5. What is the first derivative of 6 - b - h**u - 2*h + 2*h wrt h? -3*h**2 Let k(s) be the first derivative of 8*s**5/5 - 3*s**2 - 4. Find the second derivative of k(n) wrt n. 96*n**2 Let v(q) be the first derivative of -5*q**3 - 20*q + 7. What is the derivative of v(r) wrt r? -30*r What is the third derivative of -12*p**2 - 12*p**2 + 33*p**2 + 20*p**6 wrt p? 2400*p**3 Let k(h) = h**4 + h**3 + h**2 + 2*h - 1. Let a(c) = 15*c**4 - 3*c**3 + 54*c**2 - 4*c + 2. Let z(l) = -a(l) - 2*k(l). Find the third derivative of z(u) wrt u. -408*u + 6 Let c(a) be the third derivative of 3*a**8/56 + a**5/30 + 5*a**3/6 - 8*a**2 - 2*a. Find the third derivative of c(v) wrt v. 1080*v**2 Let m(k) = -2*k + 3. Let i be m(-3). Let h = -4 + i. Find the third derivative of -2*j**5 + 0*j**2 + 3*j**h + j**2 wrt j. 60*j**2 Let d(x) be the third derivative of x**9/72 - x**5/12 + 4*x**2. Find the third derivative of d(l) wrt l. 840*l**3 Suppose 4*l = 13 - 1. Let h(a) = -a**2 + 3*a + 1. Let w be h(2). Differentiate -w*r + 3*r - l*r + 3 with respect to r. -3 Let u(k) be the first derivative of -23*k**6/6 - 5*k**3/3 + 7. What is the third derivative of u(c) wrt c? -1380*c**2 Find the second derivative of -52*f + 17*f + 11*f + 16*f**3 + 16*f wrt f. 96*f Suppose -2*s + 61 = -5*t, 2*s = 5*s - t - 72. Find the second derivative of -4*u + 30*u**4 - s*u**4 + u + 0*u wrt u. 84*u**2 Find the third derivative of 8*t**5 + 672*t - 672*t + 2*t**2 wrt t. 480*t**2 Let j(i) be the second derivative of i**5/30 + i**4/24 - i**3/3 + 4*i. Let o(g) be the second derivative of j(g). What is the derivative of o(d) wrt d? 4 Suppose -9 = -0*i - i. Let n = i - 5. Find the second derivative of -3*z**5 - z - 20*z**4 + 20*z**n wrt z. -60*z**3 Differentiate -44*h**2 - 2 - 3 + 54*h**2 wrt h. 20*h Let x(o) = 8*o**2 - 4*o - 1. Let l be (-6)/15 - 36/10. Let v(j) = j**2 - j. Let m(n) = l*v(n) + x(n). Find the first derivative of m(g) wrt g. 8*g Suppose 0 = -3*f - f. Suppose f*v = 4*v - 52. Differentiate -i**2 - 1 - 13*i + v*i with respect to i. -2*i Let v(k) = -35*k**4 + k**3 + k**2 - 21*k. Let h(o) = -o**4 + o**3 + o**2 - o. Let r(b) = 2*h(b) - 2*v(b). What is the second derivative of r(u) wrt u? 816*u**2 Let t(c) be the second derivative of 0*c**4 + 0*c**3 + 0 + 3/10*c**5 - 2*c**2 + 6*c. What is the first derivative of t(s) wrt s? 18*s**2 What is the third derivative of 133*d**4 - 7*d**5 - 2*d**2 - 133*d**4 wrt d? -420*d**2 Let g(i) be the third derivative of i**7/210 + i**4/24 + 2*i**3/3 + 5*i**2. Let q(a) be the first derivative of g(a). Find the first derivative of q(c) wrt c. 12*c**2 Let k(f) = -f**3 - f**2 - 1. Let g(c) = -11*c**3 - 5*c**2 - 6. Let z(t) = g(t) - 6*k(t). Find the third derivative of z(j) wrt j. -30 Let p(l) = -11*l**2 + 4*l + 22. Let n(u) = -u**2 + u + 1. Let j(m) = 4*n(m) - p(m). Differentiate j(t) wrt t. 14*t Let m(s) = s - 6. Let a be m(6). Suppose -3*h = -a*t + 4*t - 8, 0 = 5*t + 3*h - 13. What is the second derivative of -3*p**5 + 3*p - 4*p + 2*p**t wrt p? -20*p**3 Let f(k) be the first derivative of 11*k**4/2 + 38*k**3/3 - 26. Find the third derivative of f(z) wrt z. 132 Let q(r) = 37*r**3 - 11*r - 22. Let g(j) = 12*j**3 - 4*j - 7. Let l(a) = -11*g(a) + 4*q(a). Differentiate l(o) with respect to o. 48*o**2 Let r(t) = 11*t**5 - 4*t**3 - 5*t**2 - 4. Let g(s) = -10*s**5 + 3*s**3 + 4*s**2 + 3. Let m(n) = 4*g(n) + 3*r(n). Find the third derivative of m(u) wrt u. -420*u**2 Let b(g) be the first derivative of -2*g**7/105 - g**5/15 - 2*g**2 + 4. Let l(r) be the second derivative of b(r). What is the third derivative of l(y) wrt y? -96*y Let p(s) = -15*s - 5. Let r(q) = -8*q - 2. Let x(v) = 3*p(v) - 5*r(v). Differentiate x(y) wrt y.
{ "pile_set_name": "DM Mathematics" }
e -h + 18 = 14*b, -47*b + h - 18 = 8*b - 60*b for b. 0 Solve 4*t - 2*f - 7516 = -7358, -6*t - 3*f = -7*t + 217 for t. 4 Solve -5*f = -84*r + 81*r - 99, 8*f - 5*r = 158 for f. 21 Solve 0 = 3*k + 1066*d - 1059*d - 139, -2*k + 31 = 3*d - 25 for k. -5 Solve -q - 5*r = 42, 38320*r - 38324*r = 4*q + 184 for q. -47 Solve 3*i - 29 + 105 = -2*g - 5*g, -13*g = -3*i + i + 179 for g. -13 Solve -2*w - 7*n = -2*n + 156, -24298 = 5*w - 153*n - 28873 for w. -3 Solve 17*w + 0*q - q = -2*q - 6 + 34, 0 = q + 5 + 52 for w. 5 Solve -2*p + 704 = 4*g + 7*p + 590, 0 = 4*g - 2*p - 25 + 65 for g. -3 Solve 4*h - 187596*v - 36 = -187598*v, 5*h + 5*v - 100 = 0 for h. -2 Solve -193*b + 75 = -3*g - 198*b, 55*g - 67*g - 48 = -b for g. -5 Solve s - 9*v + 14*v = 285, -s + 640*v + 169 = 643*v for s. -5 Solve 4*l - 91 = 5*r - l - 51, -7*r - 3*l - 6 = 0 for r. -3 Solve -m = -x - 8, 4*m = 33*x + 41*x - 118*x + 41*x + 32 for m. 8 Solve -o = 4*x - 8, 0*o - 2*o + 20 = 4356*x - 8692*x + 4346*x for x. 2 Solve 6*w - 20*w + 28 = 5*h - 10*w - 5*w, -8*h + 5*w + 55 = 0 for h. 5 Solve 1007*x - 1004*x + 273*c = -384 + 108, -4*x = 3*c + 7 for x. -1 Solve -184578*h = -11*l - 184577*h + 84, -218 = l + 3*h for l. 1 Solve -2*i - 3*i = 2*n + 2 + 14, -4*n + 2*i - 45 + 43 = -9*n for n. 2 Solve 17*s + 37 = 4*v + 12*s, v = 2*s + 7 for v. 13 Solve 27 = 3*t, 4*m + 6*t + 6*t + 7369 = 2*t + 7475 for m. 4 Solve 726*k - 2*p - 22 = 722*k, 38 = -4*k - 2*p for k. -2 Solve 72*h + 5*v = -68*h + 635, -65 = 5*v for h. 5 Solve 109*f - 108*f - 90 + 177 = -3*h + 87, 2*h = 3*f for f. 0 Solve -20291*q + 20277*q + 4*l = 56, 12 = -3*q + 2*l for q. -4 Solve -420643*z = 5*o - 420645*z - 27, 35 = 6*o - 5*z for o. 5 Solve 7*v + 19 = 4*i, -6*v - 14 - 14 + 4 = -4*i - 6 for v. -1 Solve -23*d - 53 = -y, -3*d + 43320 = y + 43319 for y. 7 Solve 7*f = 43*f + 24*l - 156, -5*l = 34917 - 34942 for f. 1 Solve -2*h + 106*z = 100*z + 8, 2*h - 3*z = -6*z + 19 for h. 5 Solve y + 286 = -4*w + 320, -w + 2*y - 50 = 0 for w. 2 Solve 2*x = 3*z + 10*z + 9, 3 = 4*z - 1 for x. 11 Solve -3*y - p - 75 = 0, 0 = 5*y - 100571*p + 100572*p + 83 for y. -4 Solve 5*u = -0*r + r + 242, 3*r - 341*u + 344*u - 40 = 98 for r. -2 Solve -2*d - 12*t + 15*t - 10 = 0, 4*d - 5*t + 7 = -13 for d. -5 Solve c = 3*o - o + 18, -115*o = c - 118*o - 25 for c. 4 Solve -21*s + 29*s = -4*y - 40, -2*y - 25 = -s for s. 1 Solve -24*n + 16*n + 245 = -5*y + 30*n, -4*n + 71 = -4*y - y - 4 for y. -11 Solve -6*o - 143 = -7135*s + 7136*s, -6*o - 123 = -3*s for s. -5 Solve -2*w - n - 29 = 0, 0 = -103*w + 98*n - 94*n - 1438 for w. -14 Solve -3*z + 34 = 4*x, 0 = 5*x + 3664*z - 3658*z - 47 for x. 7 Solve 0 = -4*y + 2*z - 8, 4*y - 428 = -y + 5*z - 438 for y. -2 Solve -38096*f = -38101*f - 6*x + 61, x - 131 = -25*f for f. 5 Solve 2*t = 5*a - 3*t - 105, 13 + 308 = -5*a - 1250*t + 1113*t for a. 18 Solve 11*m - 13*h = -5*m + 17*m - 245, -2*h = 9*m - 20 for m. -2 Solve 4*s - 66 = -3*d, -455038*s + 455042*s - 56 = 2*d for d. 2 Solve -17243*g - j = -17244*g + 13, -2*g + 80 = -8*j for g. 4 Solve -5*u = 32*l + 185, -15 = 2932*u - 2933*u + 4*l for u. -5 Solve -6*l + 3*l - 5*x + 13 = 0, 69727*x = 69730*x - 15 for l. -4 Solve c + 5 = -4*i, -204*i + 205*i + 80 = -9*c for i. 1 Solve 50*l - 1 - 2 = 3*b + 48*l, -6*b - l = -24 for b. 3 Solve 23*i - v + 92 = 22*i, 0 = 2*i - 5*i - 5*v - 276 for i. -92 Solve 2*w = 3*d + 77, 9*d + 176 = -4*w - 0*d - 15 for w. 4 Solve -17*n - 3*h - 156 = 0, 1787*n - 39 = 1791*n + 3*h for n. -9 Solve -170 + 113 = 9*f - p, 9 = -5*p + 24 for f. -6 Solve -2*a = -5*r - 7, 36*a + 21*a - 3*r + 173 = 83*a + 14 for a. 6 Solve -3*h = 3*m + 18 + 6, 91*m - 27*h = 93*m + 166 for m. -2 Solve 0 = -26*r - 4*u + u + 155, 203*r + 6*u = 208*r - 89 for r. 7 Solve r - 2*y + 14 = -22, -95*r - 56*r + 91*r + 4*y - 1812 = 0 for r. -30 Solve -2*d - 4*p = -30, 0*d - 10 = -2*d + 4*d - 4*p for d. 5 Solve 7290*q = 7295*q + h + 25, q + 4*h = -24 for q. -4 Solve -6*l + 4*l + 20*w - 260 = 0, -2*l + 7*l + 26 = 4*w - 26 for l. 0 Solve -100 = -4*i - 36*r, 2*r = -2*i - 2081 + 2083 for i. -2 Solve 10*u = 12*u - 34*r + 80, -5*u - 2*r - 1162 + 1136 = 0 for u. -6 Solve -2*t - 15 = s, 54*t + 86 = -2*s - 2*s - 20 for t. -1 Solve -c + 23 = 0, 2*k + 447*c - 514*c = -1541 for k. 0 Solve 0 = 2*i + 36*s + 78, 7256*s - 7255*s - 4 = 2*i for i. -3 Solve 7*m - 47 = 4*x, -3*m = 5*x + 941 - 941 for m. 5 Solve -769*n + 768*n + 12 = 3*k, -n = -31*k + 158 for n. -3 Solve 5*b - p + 74 = 0, b - 3*p - 227 = -239 for b. -15 Solve 15 = -5*s, 593*s = 3*c + 580*s - 69 for c. 10 Solve 1217*p + 1222*p + 136 = -5*n + 2442*p, -20*n + 4*p = 568 for n. -29 Solve -v - 514 + 494 = -3*x, 11*x - 168 = 51*v for x. 6 Solve -q - 3*q = 0, -4*j - q + 3*q = -0*q - 44 for j. 11 Solve 2*y - 4*v + 28 = 0, 4*y + 6415*v - 32 = 6412*v for y. 2 Solve 388*m - 790*m = 2*i - 405*m - 49, 0 = -5*i + 2*m + 128 for i. 26 Solve 4246*j - 2*f = 4247*j - 33, 0 = -4*j + 5*f - 50 for j. 5 Solve -4*d - 1905*p = -1900*p - 459, -3*p + 182 = -91*d for d. 1 Solve 2*v + 4*m = 3*v - 9, 15*m - 19*m + 2 = -2*v for v. -11 Solve 456*b - 450*b - 126 = -4*n, 4*n = -2*b + 50 for n. 3 Solve 0 = 4*a - 36, 1206*u - a + 9 = 1186*u for u. 0 Solve z + 3*y - 263 = 4*z + 8*y - 33, 17240 = -203*z - 3*y for z. -85 Solve -3245964*o + 26 = -3245967*o + 2*u, -21 = -3*u for o. -4 Solve -29864*t - 92 = 8*z - 29868*t, 3*z - t + 24 = -3*t for z. -10 Solve 193*r - 194*r + 4 - 4 = -4*t - 5, 5*t = 23*r - 289 for r. 13 Solve 457294*u + 0*r - 9 = 457292*u + 5*r + 18, -u + 3*r = -14 for u. 11 Solve -15*i + k - 2 = 0, -2070*i + 2091*i - 10 = 38*k - 43*k for i. 0 Solve 1181*q - 1185*q + 619 = -91*f, -3*q + f + 128 = 0 for q. 41 Solve -q - 92 = 3*h, -2*q + 637 = -h + 611 for q. -2 Solve -6*r + 3514*d + 12 = -r + 3510*d, 6*r = d + 3 for r. 0 Solve 443380*q - 364 = 443021*q + t, -5*q - 5 = 2*t for q. 1 Solve -3*y - 5*s + 655 - 1445 = -695, -59 = 2*y - s for y. -30 Solve 5*s = 2*x + 368, 0 = s - 35894*x + 35899*x - 79 for s. 74 Solve -45*q + 43*q - 36 = 5*n, 5*q - n + 33 = -4*n for q. -3 Solve 5*j + 130 = -5*l, 60*j - 57*j - 4*l = 3 - 60 for j. -23 Solve 5*u - 5*b = 115, 3*u + 147 + 107 = -3*b + 167 for u. -3 Solve 0*p + 78 = -3*p + 3*n, -2*p - 3*p + 5*n + 7*n - 137 = 0 for p. -25 Solve 0 = 3*i + 3*i - i + 4*f + 306, 0 = -14*i + 3*f - 544 - 256 for i. -58 Solve 2048*f - 2050*f = -13*n - 5, -3*n - f - 7 = 0 for n. -1 Solve -3*r - 4*k - 14 = 0, -33000 + 16529 = 11*r - 2*k - 16503 for r. 2 Solve 3*p + 17 = -12*s + 4*p - 0*p, -2*p = 2*s - 8 for s. -1 Solve 162*a = 155*a - u + 47, -21 - 11 = -4*a - u for a. 5 Solve 14*c + 13*f + 13 = 18*c - 8*c, 2*f + 2 = -3*c - 0 for c. 0 Solve 4*j + 304735 = -2*z + 304829, -2*z = -6*j + 146 for j. 24 Solve 3*a + 75 = -15*y, -3*y + 3 = -2*a - 8 + 1 - 1 for y. -3 Solve 14*t - 319 - 661 = 0, -4*u = u + 63329*t - 63333*t + 265 for u. 3 Solve 1699 - 1783 = -4*z + 3*z - 73*m, 0*z = 2*z - 2*m - 20 for z. 11 Solve 2 = 5*w - 4*s, 6*w - 2*w - 1974 = 49*s - 1835 for w. -2 Solve 5*u + 241 = -4*o - 4*o, -3*o + 2112874 - 2113130 = 5*u for u. -53 Solve 4*a = -d + 1 - 11, -3*a = 38*d - 216 for d. 6 Solve -3*l - 9 = 0, 4*v + 3*l - 4639160 = -4639173 for v. -1 Solve 110*i - 109*i - 344 = -5*o, -7*i - 3*o = -232 for i. 4 Solve -3*r = l + 12285 - 12505, r - 64 = 2*l for l. 4 Solve -2*b - 4*x - 6 = 0, 2*x + 46 = -1469*b + 1459*b - 0 - 2 for b. -5 Solve -3*b - 18 = 3*j, 2805 - 44 = -251*b for j. 5 Solve 4*j = 2*j + 8*o + 10*o - 90, 3*j + 50 = 5*o + 5 - 2 for j. -9 Solve 4*f + 9*f = o + 447, -o - 4*o = 5*f - 8*o - 185 for f. 34 Solve -f - 176 = 40*u + 58, 2*u - 5*u = -3*f - 87 for u. -5 Solve 0 = 3*t + 4*m + 62, -2*m + 4682 - 2304 = -5*t + 2318 for t. -14 Solve 3*q = 6*j - 3, 31*j - 3 = 53*j + 3*q for j. 0 Solve p + 11*h + 348 = 6*h + 328, h + 28 = -5*p for p. -5 Solve -5*o - 20 = 5*q, -164019*o - 13 = -164021*o + q for o. 3 Solve 1647*b - 1650*b - 135 = -s, -4*s - 215 = -9*s + 5*b for s. -3 Solve 5*w - 7*w = 3*w - 15, 0 = 2*h + 3*h - 5*w - 35 for h. 10 Solve 477*s - 23*b = 499*s - 48, -3*b + 10 = s for s. -2 Solve 15*g - 12*g + 12 = -2*w, -2*w = w - 19 + 28 for g. -2 Solve -822*q + 818*q = -3*u + 144, -10*u - 3*q + 480 = 0 for u. 48 Solve -7*r - 18*h + 15 = -6*r - 16*h, h + 3 = r for r. 7 Solve -649*r + 654*r = -2*j - 201, 2*r - 5*j + 63 = 0 for r. -39 Solve 5*b + 5747*v + 97 = 5751*v, -13*v + 224 = 2*b fo
{ "pile_set_name": "DM Mathematics" }
7*r Collect the terms in -23326*s**3 + 11654*s**3 + 11682*s**3. 10*s**3 Collect the terms in j**2 - 7*j**2 + 2 + 4*j**2 + 1281*j. -2*j**2 + 1281*j + 2 Collect the terms in 589*r**2 + 555*r**2 - 1 - 1124*r**2 - 4*r + 4*r. 20*r**2 - 1 Collect the terms in -23*t - 20*t + 14*t + 30*t. t Collect the terms in 240*r**2 - 57*r**2 - 54*r**2 - 130*r**2. -r**2 Collect the terms in -16645*c**2 - 2970*c**2 - 6546*c**2. -26161*c**2 Collect the terms in -15*s**3 - 434*s**3 - 787*s**3 - 144*s**3. -1380*s**3 Collect the terms in -89*d - 108*d - 103*d - 103*d + 405*d. 2*d Collect the terms in -64*x - 37*x + 124*x - 25*x. -2*x Collect the terms in 63*s + 20 - 17 - 19*s. 44*s + 3 Collect the terms in 19 + 4*t - 7*t + t + 0*t. -2*t + 19 Collect the terms in 9 + 107*a + 0 - 5*a**2 - 9 + 8*a**2. 3*a**2 + 107*a Collect the terms in -52650508336 + 52650508336 + 3*v. 3*v Collect the terms in -23676 + 23676 + 34*v**3. 34*v**3 Collect the terms in -2*i**3 - 2122*i + 129 + 1054*i - 129 + 1068*i. -2*i**3 Collect the terms in -5*c**2 + 3921965 - 3921965. -5*c**2 Collect the terms in 752005 - 752005 + 176*l**2. 176*l**2 Collect the terms in -7 + 7 - 5*c**2 + 17*c - 72*c**2. -77*c**2 + 17*c Collect the terms in 588*m - m**2 - 523*m + 2*m**3 + m**2. 2*m**3 + 65*m Collect the terms in -10740948 + 10740948 + 20*a**3. 20*a**3 Collect the terms in -1431*n**2 + 1213 - 1213 - 7*n**3. -7*n**3 - 1431*n**2 Collect the terms in -216*t + 61*t + 76*t - 225*t. -304*t Collect the terms in -9010*l**3 - 4*l**2 + 9012*l**3 + 4*l**2 + 0*l**2. 2*l**3 Collect the terms in -3*o**3 + 299 + 247 + 246 - 782. -3*o**3 + 10 Collect the terms in -27*h + 53*h + 109*h + 132*h - 21*h. 246*h Collect the terms in 396 + q + 397 - 1195 + 397. q - 5 Collect the terms in 3169 - 3169 + 240*k**2. 240*k**2 Collect the terms in -27*f**3 - 108241 + 108241. -27*f**3 Collect the terms in -36 + 2*h**2 - 30 + 1 - 17 - 21. 2*h**2 - 103 Collect the terms in 3241*h - 1015*h + 0*h**2 + 2*h**2 - 1215*h - 1011*h. 2*h**2 Collect the terms in -469*w - 568*w + 64*w**3 - 2*w**2 + 153*w - 66*w**3. -2*w**3 - 2*w**2 - 884*w Collect the terms in 95*r**3 - 642 + 464*r**3 + 642. 559*r**3 Collect the terms in -n**2 + 3*n - 19339 + 1621 - 702. -n**2 + 3*n - 18420 Collect the terms in 24*d**2 + 58*d**2 - 105*d**2 + 25*d**2. 2*d**2 Collect the terms in 4 + 54 + 2 + 25*t. 25*t + 60 Collect the terms in -12*i**3 + 5*i**3 + 7*i**3 - 23*i**3. -23*i**3 Collect the terms in -386 - 392 + 777 - 245*a. -245*a - 1 Collect the terms in -5505*q + 5505*q - 26*q**3. -26*q**3 Collect the terms in -222163*h + 43*h**3 + 222163*h. 43*h**3 Collect the terms in 138*w - 79*w - 77*w. -18*w Collect the terms in -718*o**2 - 714*o**2 - 728*o**2 + 2171*o**2. 11*o**2 Collect the terms in 32*l**2 - 521*l**3 - 16*l**2 - 16*l**2. -521*l**3 Collect the terms in -5*k**3 + 32*k**3 + 15*k**3 - 34*k**3. 8*k**3 Collect the terms in 414*f**2 - 3*f + 3*f - 215*f**2 - 282*f**2. -83*f**2 Collect the terms in -77*s**3 - 263*s**3 - 2 + 3. -340*s**3 + 1 Collect the terms in -220*b**2 - 218*b**2 + 683*b**2 - 241*b**2. 4*b**2 Collect the terms in -7983 - 10*w**2 + 7983 - 4*w**2 + 6*w. -14*w**2 + 6*w Collect the terms in 16510*s**2 + 21155*s**2 - 10214*s**2 + 13825*s**2. 41276*s**2 Collect the terms in 6*i + 8*i + 0*i - 4*i - 5*i. 5*i Collect the terms in -205731*r**3 - 205729*r**3 - 205727*r**3 + 617186*r**3. -r**3 Collect the terms in -22*f**2 - 3*f + 17*f**2 + 16*f**2 + 3*f. 11*f**2 Collect the terms in 9*j - 43050 + 21529 + 21521. 9*j Collect the terms in 948*r**3 + 18*r - 2744*r**3 - 13*r - 5*r. -1796*r**3 Collect the terms in -265470*f + 400590*f - 587916*f - 746965*f. -1199761*f Collect the terms in -5093*q**2 + 2551*q**2 + 2546*q**2. 4*q**2 Collect the terms in 11*o**2 - 6*o**2 + 12*o**3 + 15*o + 18*o**2. 12*o**3 + 23*o**2 + 15*o Collect the terms in 267*m**2 - 122*m**2 + m**3 - 145*m**2. m**3 Collect the terms in 1374*u - 78*u**2 + 48*u**2 + 27*u**2. -3*u**2 + 1374*u Collect the terms in -108*c - 310*c**3 + 223*c - 115*c - 130*c**3. -440*c**3 Collect the terms in 193*p - 508*p + 133*p + 182*p + p**3. p**3 Collect the terms in -26692*x**3 - 26680*x**3 + 80042*x**3 - 26682*x**3. -12*x**3 Collect the terms in 3596*d**3 - 187*d + 187*d. 3596*d**3 Collect the terms in -31*d**2 - 17*d**2 - 33*d**2 + 23*d**2. -58*d**2 Collect the terms in -31*y**2 - 35*y**2 + 93*y**2 - 25*y**2. 2*y**2 Collect the terms in 0*q - 278582*q**2 + 0*q + 278595*q**2. 13*q**2 Collect the terms in 0*x - 14414*x**2 + 14407*x**2 + x. -7*x**2 + x Collect the terms in -18*n - 29*n - 11*n - 25 + 0*n. -58*n - 25 Collect the terms in 6331*s**3 - 3145*s**3 + 2*s - 3198*s**3. -12*s**3 + 2*s Collect the terms in -79061682 - 15*n**3 + 79061682. -15*n**3 Collect the terms in 27*h**3 + 50*h**3 - 74*h**3 - 19 + 9. 3*h**3 - 10 Collect the terms in 371*j - 371*j - 324*j**2 - 546*j**2. -870*j**2 Collect the terms in -85*h**2 + 176*h**2 - 91*h**2 + 3*h**3. 3*h**3 Collect the terms in 347*y - 109*y + 0 + 0 - 120*y - 117*y. y Collect the terms in 7*k - 8*k + k - 177*k**3 + 91*k**3 + 88*k**3. 2*k**3 Collect the terms in -1425*j**3 + 704*j**3 + 692*j**3. -29*j**3 Collect the terms in -16*v + 10*v - 1 + 1 + 2*v + 14*v. 10*v Collect the terms in 2360636 + 5*g**2 - 5*g**2 + 3*g**3 - 2360636. 3*g**3 Collect the terms in 22*x - 929*x - 696*x. -1603*x Collect the terms in -123*c**2 + 81*c**2 + 6*c - 3*c - 3*c. -42*c**2 Collect the terms in 2550385 - 2550385 + 83*h. 83*h Collect the terms in -30441*w**3 + 11201*w**3 - 42685*w**3. -61925*w**3 Collect the terms in -182*m**2 + 255749721*m - 255749721*m. -182*m**2 Collect the terms in -39871 + 39871 - 2490*c**3. -2490*c**3 Collect the terms in -86*i - 62*i - 133*i + 404*i - 81*i. 42*i Collect the terms in -2 + 5151*w**3 + 0 - 5178*w**3. -27*w**3 - 2 Collect the terms in 4914*s**2 + 4912*s**2 + 4913*s**2 + 4918*s**2 - 19656*s**2. s**2 Collect the terms in 5 + 24*u - 3 + 7 - 4. 24*u + 5 Collect the terms in -94308140*x + 94308140*x - x**3. -x**3 Collect the terms in -1093*f**2 - 124 + 124. -1093*f**2 Collect the terms in -131*a**3 - 5 + 5 + 128*a**3. -3*a**3 Collect the terms in -49*c**3 - 58*c + 58*c. -49*c**3 Collect the terms in 32416*c - 1450*c**2 - 32416*c + 1458*c**2. 8*c**2 Collect the terms in p**2 + 2*p**2 - 3*p**3 - 8*p**2 + 6*p**3 + 4*p. 3*p**3 - 5*p**2 + 4*p Collect the terms in -151*h**2 + 230*h**2 + 449*h**2. 528*h**2 Collect the terms in -21 - 21 + 42 - 209*s. -209*s Collect the terms in r**3 - 245*r + 245*r + 0*r**3. r**3 Collect the terms in 126*l**2 - 30*l**2 - 50*l**2 - 3*l**2. 43*l**2 Collect the terms in -133*a - 62*a - 233*a + 19. -428*a + 19 Collect the terms in -674*p + 1241*p - 566*p. p Collect the terms in 50*n + 113*n + 24*n. 187*n Collect the terms in 9*m**2 - 12*m**2 + 5 - 1 + 9*m**2 + 1. 6*m**2 + 5 Collect the terms in 323 - 730 - y + 203 + 204 + 0*y. -y Collect the terms in 712361*w**3 + w**2 - 712766*w**3 - w**2. -405*w**3 Collect the terms in -498*r**2 - 8 - 621*r**2 - 6013*r**2 + 6. -7132*r**2 - 2 Collect the terms in -709*r - 357*r - 10*r. -1076*r Collect the terms in 979 + 5*s - 720 - 259. 5*s Collect the terms in 8575*w**2 - 2*w - w + 3*w. 8575*w**2 Collect the terms in -6*o**2 - 6 - 10*o - 17*o + 0*o**2 + 27*o. -6*o**2 - 6 Collect the terms in 24 - 22*x**2 - 16 + 57*x**2 + 25. 35*x**2 + 33 Collect the terms in 35251 - 35251 - 19*s**2 + 34*s**2 - 18*s**2. -3*s**2 Collect the terms in 20*i + 3*i - 472 + 9*i - 9*i. 23*i - 472 Collect the terms in -1 - 82199*m**2 + 82258*m**2 + 1. 59*m**2 Collect the terms in 27 - r + r**2 + 2*r + r + 2*r. r**2 + 4*r + 27 Collect the terms in -156*m**3 - 388*m**3 + 546*m**3. 2*m**3 Collect the terms in -16*u**2 - 2 + 11*u - 6*u + 6*u. -16*u**2 + 11*u - 2 Collect the terms in -43*h - 1097*h**3 + 91*h - 48*h. -1097*h**3 Collect the terms in -1663*z - 17 + 1662*z - 1. -z - 18 Collect the terms in 35*s + 1923 - 969 - 956. 35*s - 2 Collect the terms in -290 + 290 + 2388*u**3 - 4768*u**3 + 2383*u**3. 3*u**3 Collect the terms in -294*z**3 - 300*z**3 - 296*z**3 + 884*z**3. -6*z**3 Collect the terms in 11061*u**2 - 5507*u**2 - 5556*u**2. -2*u**2 Collect the terms in -3*c - 5*c + 4*c + 5*c + 2*c + 4*c. 7*c Collect the terms in -42*h - 8*h + 36*h - 9*h. -23*h Collect the terms in 9113*c**2 - 2 + 2. 9113*c**2 Collect the terms in 13 +
{ "pile_set_name": "DM Mathematics" }
*y**4/12 + 5*y**2 - 9. Let q(m) be the second derivative of k(m). Calculate q(11). -45 Suppose -170 = -2*s - 6*v - 124, 4*s + 4*v - 20 = 0. Let h(j) = 2*j + 6 - 2 + 0. Give h(s). -4 Let k(l) = l**3 + 8*l**2 - 8*l - 8. Let q be k(-7). Let r = q + -91. Let j(w) = -2*w + 4. Give j(r). -8 Let w = -2958 - -2947. Let p(g) = -3*g - 33. What is p(w)? 0 Let n be 16/(-4) - (-38 + 6). Let f(i) = n*i**3 + 1 - 4 - 21*i**3 + 2. Let d(v) = -2*v - 1. Let c be d(-1). What is f(c)? 6 Let a(u) = u**3 + 15*u**2 - 4*u - 66. Let k be 2*72/(-16)*(-1 + (-8)/(-3)). Calculate a(k). -6 Let d(f) = -f + 6. Let b be d(4). Suppose 3*q - b*s = -23, -2*s = -3*q + 7*q + 12. Let k(o) = 400 - 398 - 3*o + 2*o. Give k(q). 7 Suppose 18*x - 17*x = 6. Suppose -16 = 4*m, -2*z + 5*m + 0 + 32 = 0. Let q(y) = -3*y + 5. Let p(j) = -3*j + 5. Let g(l) = z*q(l) - 5*p(l). What is g(x)? -13 Let i(h) = -4*h - 32. Let q(m) = -3*m - 26. Let x(t) = -4*i(t) + 5*q(t). Suppose 5 - 17 = -2*b. Let u(s) = s - 8. Let o be u(b). Calculate x(o). -4 Let l(c) = -2*c**2 + 2*c + 1. Let r be l(3). Let p be r - (-6)/(-2 - -3). Let d(h) = h**2 + 9*h + 2. Determine d(p). -18 Let w be 72/(-135)*-3 - (-2)/5. Let p(b) = 6*b - 3 - 6 - w*b + 2*b. Calculate p(6). 27 Let u(d) = -d**3 + 18*d**2 + 20*d + 24. Suppose 4140 = 200*a + 340. Determine u(a). 43 Let d(w) = -w**3 + w. Let n(m) = 0 - 14 - 285*m - 4*m**3 + 300*m + 10*m**2. Let o(a) = -3*d(a) + n(a). Determine o(11). -3 Let k(l) = 9*l**3 - 2*l**2 - l. Let w(j) = -2*j + 5. Let z be (15/(-10) - -2)*0. Suppose 3*c + z + 3 = s, c = -s + 3. Let u be w(s). What is k(u)? -10 Suppose -196*y = -170*y - 78. Let r(v) = v**2 - v - 4. What is r(y)? 2 Let i(j) = j**2 + 335*j + 5097. Let r be i(-16). Let y(q) = q**2 - 9*q - 48. Give y(r). 64 Let n(q) be the third derivative of -205*q**2 + 0*q + 7/6*q**3 + 0 - 1/6*q**4. Calculate n(5). -13 Let t be 29/(-11) + (-3200)/8800. Let c(k) = -15*k**3 - 11*k**2 + 4. Let i(l) = -7*l**3 - 5*l**2 + 2. Let p(x) = 6*c(x) - 13*i(x). Give p(t). -38 Let x = 3 - 3. Let l(h) = 7*h**3 + 1 + 2*h**3 - h**2 + x. Suppose 0 = -93176*a + 93114*a + 62. Determine l(a). 9 Suppose -4*i - i - 3*c = -1, 7 = -4*i - 5*c. Let q(u) = -u**2 - 3. Let s = 97 + -92. Let l(n) = -n**2 - 4. Let h(g) = s*q(g) - 4*l(g). Give h(i). -3 Suppose 2*u = -150 + 170. Suppose -10 = -5*p + 2*j, 5*p - u + 0 = j. Let f(h) = -2*h. Let r(n) = -10*n + 1. Let b(d) = 9*f(d) - 2*r(d). What is b(p)? 2 Let t = 2 - 2. Let y(c) = 9*c + 3. Let n be y(0). Suppose n*k = -t*k + k. Let s(j) = j**3 + j**2 + j - 8. Determine s(k). -8 Let a(n) = 8*n**2 + 4*n + 16. Let c(y) = y**2 - y - 3. Let f(k) = -a(k) - 5*c(k). Suppose 0 = -104*l + 107*l - 3. Give f(l). -13 Let v(y) = -y**2 - 28*y - 117. Let x be v(-5). Let j be (0/(-55))/((-10)/x). Let a(o) = -o**2 - o + 11. Give a(j). 11 Suppose -142 = 4*v - 6. Let m be (-208)/v + 10/(-85). Suppose 27 + 3 = -m*j. Let s(y) = -y**3 - 4*y**2 + 7*y - 2. What is s(j)? -12 Let q(f) be the second derivative of -f**5/60 + 7*f**3/6 + 5*f**2/2 + f. Let x(a) be the first derivative of q(a). Let p = 70 - 70. Determine x(p). 7 Let b(j) = 2*j - 21. Suppose 0 = 83*l + 625 + 205. Calculate b(l). -41 Let g(f) = -f**3 - 12*f**2 + 16*f + 19. Let v = -1574 - -1561. Determine g(v). -20 Suppose 23*l - 33*l = 0. Suppose 17*m = j + 19*m + 3, l = -4*m - 20. Let c(v) = -v + 13. Calculate c(j). 6 Let g(z) = z**3 - 6*z**2 - 4. Let u(l) = l**2 - 2*l - 2. Suppose 6 = -4*h + 2*a - 0*a, -2*h - a = 5. Let j be u(h). Give g(j). -4 Let x(q) = q**2 - q - 18. Let r be x(-4). Let s(m) = -27 + 27 - 7*m - m**r. Calculate s(-7). 0 Suppose -2050*z = -2064*z + 112. Let d(t) = 54*t + 2. Let m be d(3). Let l(i) = -2 + z - m*i + 166*i. Give l(-5). -4 Suppose -3 + 87 = -15*g + 3*g. Let u(z) = -z**2 + 24. Calculate u(g). -25 Suppose 4*y - 9*g = -11*g + 60, 36 = 2*y + 4*g. Let c(w) = w**2 - 13*w - 24. Let d be c(y). Let b(u) = -3*u - 15. What is b(d)? 15 Let j(y) = -5 + 1 + 10*y - 372*y**2 + 371*y**2 - y**3. Determine j(-5). 46 Let m(w) = -105*w - 67. Let d(x) = 185*x + 129. Let k(q) = 4*d(q) + 7*m(q). Determine k(-10). -3 Let m(p) = p - 43. Let t be 10 - 3848/390 - (-4)/30*329. Calculate m(t). 1 Let q(j) = 2*j**3 + 34*j**2 - 13. Suppose -13*x - 40*x - 1098 + 197 = 0. Determine q(x). -13 Let x(v) = -3*v**2 + 2*v + 1. Let f be 6/(-4)*(4 + (-68)/6). Suppose 6 = f*y - 9*y. Suppose 4*q + 2*t - 2 = -4, 0 = -q + 2*t - y. Calculate x(q). -4 Let z(m) = -m**2 + 14*m - 48. Suppose -13*r - 115 = -232. Give z(r). -3 Let k(t) = -2*t**2 - 9*t + 9. Let g(q) = q**2. Let i(j) = 3*g(j) + k(j). Let v = 1147 - 952. Let d = 202 - v. Calculate i(d). -5 Let m(d) = -2615*d + 1306*d + 1310*d - 12. What is m(6)? -6 Let x(i) = i**3 - 4*i**2 + i - 11. Let h(u) = 17*u - 200. Let b be h(12). Give x(b). -7 Let t(f) = 167*f**2 - 19*f - 373. Let i(g) = 76*g**2 - 9*g - 170. Let k(j) = 11*i(j) - 5*t(j). Let s be (-1)/(-2)*2*5. Calculate k(s). 0 Let t(u) = -u**3 - 14*u**2 + 12*u + 30. Let o be t(-15). Let j be ((-5)/(75/12))/((-10)/o). Let h(r) = 3*r + 3. What is h(j)? 21 Let w(h) be the third derivative of h**6/120 - h**5/12 - 13*h**4/24 + 23*h**3/6 + 11722*h**2. Determine w(8). 111 Let j(x) = x**2 - 5*x - 2 - 4*x**2 - x**2 - x**3. Suppose 0 = 2*c - 44 + 6. Suppose -18 = 2*p + 3*r, c*p - 23*p - 24 = 3*r. Determine j(p). 4 Let s(p) = -8*p**2 + 32*p + p**3 - 109*p + 29*p + 12 + 24*p + 16*p. Calculate s(9). 21 Let i(o) be the first derivative of -1/3*o**3 + 3*o - 42 + 1/2*o**2. What is i(4)? -9 Let h(w) be the third derivative of -w**6/120 - 7*w**5/60 + 5*w**4/24 - w**3 + 1021*w**2. Give h(-6). -72 Let r = 31 + -26. Let a(n) be the first derivative of -3*n**2 + 7*n + 355. Determine a(r). -23 Let j(m) = m**3 + 6*m**2 - 7*m + 5. Suppose -69 = -10*t - 19. Suppose 5*s - t*w - 71 = 124, -159 = -5*s - 4*w. Let q = 28 - s. Give j(q). 5 Suppose 2*p + 4*f = 23 + 35, p + 3*f = 25. Let y = p + -32. Let q(t) = t**2 + y*t**3 + 13 + 2*t**2 - 6*t**3 - 2*t**2. Calculate q(0). 13 Let l(c) be the third derivative of 52*c**2 + 0 + 0*c - 25/6*c**3 - 1/12*c**4. Determine l(-10). -5 Suppose -h + 7*k - 2*k = -17, -4*h + 4*k + 68 = 0. Suppose 5*g = s - h, s - g + 5*g + 1 = 0. Let q(v) = 222 - 112 - 109 - s*v. Determine q(-2). 15 Let g(r) be the second derivative of 5*r**3/3 - 39*r**2 - 30*r - 10. Give g(5). -28 Let p(j) be the third derivative of -j**4/12 - 4*j**3 + 2*j**2 - 74. What is p(-9)? -6 Let m = -5/567 - -761/567. Let v(f) be the first derivative of f - 1/2*f**2 + 1 + m*f**3. Determine v(1). 4 Let u be -1 + 316/36 + 0 + 6/27. Let d(y) = -2*y**2 + 13*y + 33. Calculate d(u). 9 Let o(w) = 70*w - 9*w - 51*w + 9 + 3. Calculate o(6). 72 Let v(m) be the second derivative of -m**4/12 + 13*m**3/6 + 9*m**2 + 725*m. Give v(11). 40 Let j(v) = -v**3 + 9*v**2 - 8*v + 7. Let a(m) = -m**3 + 8*m**2 + 13*m - 24. Let u be a(7). Let q be 4/(-14) - (-6)/84*u. Determine j(q). 7 Let k(f) = -14*f + 15. Let p(i) = -6*i + 7. Let z(s) = -6*k(s) + 13*p(s). Let n(t) = t**2 + 18*t - 143. Let l be n(6). Calculate z(l). 7 Let c(q) be the second derivative of 0 + 1/2*q**2 + 52*q + 5/6*q**3. Determine c(-1). -4 Let r be 16*(1 + -2) - 23/(19 - 42). Let k(l) = -l**2 - 19*l - 11. What is k(r)? 49 Let t(z) = 8*z - 19. Let f(g) = 18*g - 23. Let h(r) = 2*f(r) - 5*t(r). What is h(14)? -7 Let z(o) be the third derivative of o**5/60 + 5*o**4/8 + 14*o**3/3 - 836*o**2. What is z(-10)? -22 Let j(f) be the second derivative of -f**6/120 - f**5/20 - f**4/24 - f**3/2 - 34*f**2 - 2*f + 26. Let p(w) be the first derivative of j(w). What is p(-3)? 0 Suppose -99*y + 1 - 691 = -53*y. Let i(k) = -k**3 - 16*k**2 - 14*k - 19. Calculate i(y). -34 Let g(q) be the second derivative of -q**3/3 + 13*q**2/2 - 9065*q. What is g(-13)? 39 Let i(q) be the third derivative of q**6/120 + q**5/12 - q**4/8 - q**3/3 - 3*q**2 - 269. What is i(-3)? 25 Let j(v) = 3*v**2 - 45*v + 75. Let y be j(13). Let b(g) = 4*g - 5*g + 3 + 9*g. Determine b(y). -21 Let g(n) be the second derivative of -n**7/420 + n**6/90 + n**5/120 + 6*n**3 - n**2/2 - 49*n. Let p(l) be the second derivative of g(l). Calculate p(3). -15 Suppose 2*c - 21 + 23 = 0. Suppose t + 3*z + 7 = 8*z, 2*z - 4 = 0. Let i be (-28)/14 - t/c. Let l(d) = -16*d**2 + 1. Determine l(i). -15 Suppose v - 4 = 0, 3*l = 4*v - 258 - 37. Let q be 20/35 - l/21. Let o(b) = -b**2 + 4*b - 9. Give o(q
{ "pile_set_name": "DM Mathematics" }
17*u**6/6 + 3*u**2 + 7. What is the second derivative of t(j) wrt j? -340*j**3 Suppose -o = -0*o + 5. Let d(a) = -15*a**3 + 12*a - 21. Let h(j) = 4*j**3 - 3*j + 5. Let t(u) = o*d(u) - 21*h(u). Find the second derivative of t(q) wrt q. -54*q Let m(i) be the first derivative of i**8/560 - i**5/120 - 4*i**3/3 - 3. Let s(a) be the third derivative of m(a). What is the second derivative of s(p) wrt p? 36*p**2 Suppose 2*w - 5*g - 4 = -0, 2*g - 8 = -4*w. Differentiate w - 2*x**3 - 3 + 0 wrt x. -6*x**2 Let i = 13 + -7. Let z be (2/i)/(2/6). What is the second derivative of q**3 + 1 + 3*q - z wrt q? 6*q Let s(h) = 11*h**4 - 3*h**3 + 3*h**2 - h + 2. Let d(l) = -l**3 - l**2 + l - 2. Let q(t) = d(t) + s(t). What is the third derivative of q(p) wrt p? 264*p - 24 Let m(l) be the first derivative of 1 - 2*l**3 - 6 - 1 - 4 + 3*l**2. What is the second derivative of m(i) wrt i? -12 Find the first derivative of 30*i + 1 + 4 + 8 + 10 wrt i. 30 Let g be 1/(-2) + 52/8. What is the second derivative of g*h**3 - 4*h**3 - h - 2*h**3 + 2*h**4 wrt h? 24*h**2 Let w(l) = -l**3 + l**2 - l + 1. Let f(m) = 2*m**4 - 4*m**3 + 4*m**2 - 4*m + 19. Let s(y) = f(y) - 4*w(y). Differentiate s(a) with respect to a. 8*a**3 Let x be (2 + (-32)/12)/2*0. Let q(k) be the second derivative of 1/2*k**3 + 1/4*k**4 + 0*k**2 - 3*k + x. What is the second derivative of q(u) wrt u? 6 Let v be (-17)/51 + 22/12. Let s(a) be the first derivative of -3 - v*a**2 - 4*a. What is the first derivative of s(l) wrt l? -3 Let c = -6 - -5. Let t be (c + 4 + -3)/1. What is the third derivative of -7*f**6 + 3*f**6 - 3*f**2 + t*f**2 + f**2 wrt f? -480*f**3 Suppose 2*r + 2 - 4 = -4*a, 4*a - 27 = 3*r. Find the second derivative of 3*c**3 + 55*c + 5*c**a - 50*c wrt c. 48*c Let q = 8 + -8. Let h(m) be the second derivative of -2*m - 1/3*m**3 - m**2 + q. What is the first derivative of h(n) wrt n? -2 Let o(z) = z + 6. Let i be o(-6). Suppose 3*l = i, -5*l - 1 = -2*h + 3. Differentiate -h + 5*f**4 + 3 + 0*f**4 - 3*f**4 wrt f. 8*f**3 Let m be 4/(-3 - -5) + 0. What is the third derivative of 6*n**3 - 2*n**3 + 4*n**2 + n**2 + 0*n**m wrt n? 24 Suppose q - 6*q + 5 = 0. Suppose 0 = r + 2*m + q, 0*r + m + 2 = r. What is the derivative of r - 2 - l + 2 wrt l? -1 Let y(o) = -28*o - 1. Let q(z) = 9*z. Let h(a) = 7*q(a) + 2*y(a). Find the first derivative of h(l) wrt l. 7 Let k be 8/(-36) + 40/18. What is the derivative of -4 + k - 5 - 4*q**2 wrt q? -8*q Let n(d) = -6*d**3 - d**2 + 7*d + 7. Let o(y) = -3*y**3 - y**2 + 3*y + 3. Let r(m) = 3*n(m) - 7*o(m). What is the third derivative of r(w) wrt w? 18 Let x(k) = -7*k**2 + 5*k + 6. Let m(j) = 21*j**2 - 14*j - 17. Let t(q) = -6*m(q) - 17*x(q). What is the second derivative of t(p) wrt p? -14 Let r(o) = o**3 + 9*o**2 + o + 11. Let n be r(-9). Differentiate 0 + 2 + 5*y**2 - 2*y**n - y**2 with respect to y. 4*y Let d(m) = m**4 - 6*m**2 + 6*m - 1. Let a(z) = z**4 + z**2 - z. Let o(i) = -6*a(i) - d(i). What is the first derivative of o(p) wrt p? -28*p**3 Let b(h) = -65*h - 127. Let q(m) = -21*m - 42. Let y(g) = -2*b(g) + 7*q(g). Differentiate y(a) with respect to a. -17 What is the second derivative of 5*f**2 + 2 + 3*f - 2 - 2*f**2 wrt f? 6 Let r(t) be the third derivative of 5/24*t**4 + 6*t**2 - 1/60*t**6 + 0 + 0*t**5 + 0*t + 0*t**3. What is the second derivative of r(w) wrt w? -12*w Let d(f) = -33*f**3 + 3*f**2 + 2*f + 4. Let g(l) = -65*l**3 + 7*l**2 + 4*l + 9. Let n(o) = -7*d(o) + 3*g(o). What is the second derivative of n(p) wrt p? 216*p Let j(k) be the first derivative of k**4/4 + 14*k + 11. Differentiate j(h) wrt h. 3*h**2 Let y(f) = f**3 + 4*f**2 + f - 4. Let v be y(-3). Find the third derivative of -4*r**4 + 2*r**4 + 3*r**v - 2*r**2 wrt r. -48*r Suppose 3 = -h + 2*h. Let p(f) = f**2 - f - 1. Let d(c) = -3*c**3 + 3*c**2 - 3*c - 1. Let s(g) = h*p(g) - d(g). Differentiate s(i) with respect to i. 9*i**2 Suppose -o + 6*o + 16 = -c, -2*c - 22 = 5*o. Let m = 6 + c. Find the second derivative of -n + 3*n + n + m*n - n**2 wrt n. -2 Let c(o) be the second derivative of -o**8/8 + o**4/4 - 8*o. Find the third derivative of c(v) wrt v. -840*v**3 Let r(l) = -15*l**3 + 8*l**2 + 2. Let n(c) = 61*c**3 - 31*c**2 - 9. Let a(m) = -4*n(m) - 18*r(m). Find the third derivative of a(d) wrt d. 156 Let o(l) be the third derivative of 0*l - 1/15*l**5 + 1/120*l**6 + 0*l**3 + 0*l**4 + 0 + 3*l**2. What is the third derivative of o(g) wrt g? 6 Suppose 11*u - 72 = -u. Let b = 9 + -4. Let f(q) = -q**2 - 6*q + 2. Let o(l) = l**2 + 5*l - 2. Let v(r) = b*f(r) + u*o(r). What is the derivative of v(s) wrt s? 2*s Let j(b) be the third derivative of -2*b**2 + 0 + 0*b**6 + 0*b**3 - 1/24*b**4 + 0*b**5 + 0*b + 1/112*b**8 + 0*b**7. What is the second derivative of j(i) wrt i? 60*i**3 Suppose -2 - 23 = -5*k. Let v(b) = -b**2 - 3*b - 4. Let a(h) = -2*h**2 - 4*h - 5. Let l(u) = k*v(u) - 4*a(u). Find the second derivative of l(j) wrt j. 6 Differentiate -3*j**4 + 2 - 10*j - 10 + 10*j with respect to j. -12*j**3 Let f(q) = 26*q**4 + 8*q**3 + 111*q**2. Let m(w) = -17*w**4 - 5*w**3 - 74*w**2. Let d(o) = 5*f(o) + 8*m(o). Find the third derivative of d(r) wrt r. -144*r What is the derivative of -7 - 3*p**2 + 2*p**2 - 8*p**2 wrt p? -18*p Let r(a) = -5*a**4 + a**2 + 3*a - 1. Let b(v) = -v**4 - v**2 - v + 1. Let d(f) = -b(f) - r(f). Find the second derivative of d(l) wrt l. 72*l**2 Let b(r) be the second derivative of 0 + 2*r + 0*r**5 + 0*r**2 - 1/30*r**6 + 0*r**3 + 1/6*r**4. Find the third derivative of b(s) wrt s. -24*s Suppose -3*g + 3*h + 5 = g, 0 = -3*h + 3. What is the derivative of 5 - 3 + 4 - 5 - 4*m**g wrt m? -8*m Suppose -27 = f + 5*s, 5*s + 18 = 4*f + 1. Let u be 5 + 2*f + 2. What is the second derivative of 4*b**5 + u*b**5 - 6*b**5 - 2*b + b wrt b? 20*b**3 Let m(o) = 5*o - 3. Let n be m(-6). Let j be n/(-7) + 4/14. Find the third derivative of -5 + j + 2*v**2 + v**4 wrt v. 24*v Let r be (-14 - 1)*(-1)/(-3). Let y = 9 + r. Find the second derivative of -f**5 + y*f - f + 0*f + 3*f**5 wrt f. 40*f**3 Let o(k) be the first derivative of -1/2*k**2 + 0*k**4 + 0*k + 0*k**3 - 1 - 1/5*k**5. Find the second derivative of o(p) wrt p. -12*p**2 Let b(o) = 9*o**3 + 4. Let v(d) be the third derivative of d**6/30 + d**3/3 - 4*d**2. Let s(r) = 3*b(r) - 7*v(r). What is the derivative of s(i) wrt i? -3*i**2 Let x(h) = 8*h**2 - 1. Let f be x(1). Suppose 0 = -4*s + 3*a + 2, 2*s - 3*a = -f*a + 12. Find the second derivative of -3*o - 2*o**2 + s*o + 3*o wrt o. -4 Let f(u) = -7*u. Let y(z) = 8*z - 1. Let w(j) = 4*f(j) + 3*y(j). Find the first derivative of w(t) wrt t. -4 Let u(d) = d**4 - 3*d - 9. Let c(o) = -o - 4. Let s be 66/(-15) - 2/(-5). Let f(h) = s*u(h) + 9*c(h). What is the second derivative of f(g) wrt g? -48*g**2 Let s(m) be the first derivative of -5*m**8/56 + 5*m**4/12 + 3*m - 3. Let c(p) be the first derivative of s(p). What is the third derivative of c(y) wrt y? -600*y**3 Let c(t) = t**3 - 8*t**2 + 6*t + 7. Let b be c(7). Suppose b = -5*u - 0 + 10. What is the first derivative of u + 2*i**2 - 2 + 1 wrt i? 4*i Find the third derivative of -767*c + 27*c**2 + 6*c**2 - 20*c**3 + 767*c wrt c. -120 Let y = 5 - 2. What is the third derivative of -12*c - y*c**3 + 4*c**2 + 12*c wrt c? -18 Let p(c) = -24*c**3 - 3*c**2 + 25. Let f(w) = -49*w**3 - 7*w**2 + 49. Let g(d) = -3*f(d) + 7*p(d). Differentiate g(m) wrt m. -63*m**2 What is the third derivative of 28*c**3 + 17*c**3 - 6*c**2 - 53*c**3 wrt c? -48 Let q(a) be the first derivative of 5*a**4 - 2*a**3/3 + 29*a + 6. Find the first derivative of q(h) wrt h. 60*h**2 - 4*h Let v(f) be the first derivative of -4*f**6/3 + 8*f**3/3 + 8. What is the third derivative of v(t) wrt t? -480*t**2 Let b = -16 - -16. Let j(p) be the first derivative of 1 + 3/5*p**5 + 0*p**3 + b*p**4 + 0*p**2 - 2*p. What is the first derivative of j(h) wrt h? 12*h**3 Let s = 3 + 1. Let h(g) = -g - 8. Let i be h(-11). What is the second derivative of -2*d**2 + i*d - s*d - d wrt d? -4 Let p(n) = -7*n**4 - 3*n**3 + 3*n**2 + n. Let c(w) = -w**3 + w**2 - w. Let s(z) = 3*c(z) - p(z). What is the second derivative of s(b) wrt b? 84*b**2 What is the third derivative of 11*t**4 + 37*t**2 + 452*t - 452*t wrt t? 264*t Let t(k) be the second derivative of k**6/30 - k**4/6 - 3*k**2/2 + 2*k. Let z(q) be the first derivative of t(q). F
{ "pile_set_name": "DM Mathematics" }
288, -93 = -v + c*b. Is v composite? True Let o be 32/(-12)*9/(-6). Suppose 2*v + 5*b = 1336, -b = -v + o*b + 683. Is v a composite number? False Suppose 4*k = -f - 1, k + 4*f = -3*k - 16. Is (-1)/(((-3)/111)/k) a composite number? False Suppose -20*k = -7*k - 3211. Is k a composite number? True Let l(y) = -y**3 - 5*y**2 - 4*y + 3. Let u be l(-4). Suppose u*c - 2462 = m + 3*m, -c + 808 = 5*m. Is c/10 - 4/(-20) composite? True Let k be (-3 - -2)/(1/15). Let o = k - -22. Is o a prime number? True Is (-2)/5 + (-42564)/(-60) prime? True Suppose -200 = 3*a + 4*m + 160, -2*m = 4*a + 490. Let j = a - -198. Is j composite? True Is -337*(4 - (2 + 3)) a prime number? True Let x = 3 + -5. Let g be (-2)/(-6)*(x - -14). Is ((-4)/6)/(g/(-978)) prime? True Let c(u) = u**3 - 5*u**2 - 5*u - 2. Let q be c(6). Suppose -7*o + q*o - 88 = 2*z, -4*z - 3*o = 176. Let h = -25 - z. Is h composite? False Let q be (-4)/(-10)*(1 + 4). Suppose -c + g + 55 = -0*c, g + q = 0. Is c prime? True Suppose -5*d = -0*d - 715. Is d composite? True Suppose 4*i - 9 - 21 = 2*f, 0 = -5*i - 5*f. Let o(u) = -u**3 + 4*u**2 + 3*u + 7. Let v be o(i). Let p = v - -16. Is p a composite number? False Suppose -4*w + 2*u - 1 = 1, 3*w - 5*u + 5 = 0. Suppose w = 3*d + 19 - 343. Suppose -5*q - 3 = -d. Is q composite? True Let y(v) = 101*v - 21. Is y(10) a prime number? False Let z = -497 + 948. Is z a composite number? True Suppose -8*l + 6*l + 818 = 0. Is l a composite number? False Let z(q) = 4*q - 13. Let n(i) = -3*i + 12. Let f(h) = 3*n(h) + 2*z(h). Is f(0) composite? True Let p = 8 - 6. Is (0 + 1)/(p/30) a composite number? True Suppose 1 = -c + 2. Is (c - 0)/(6/282) composite? False Suppose 139 = 4*k + 4*d - 533, -4*d + 346 = 2*k. Is k a composite number? False Let q = 217 - 90. Is q a prime number? True Suppose -4*g + 81 = q - 0*q, -3*g - 313 = -5*q. Suppose -m - 8 + q = 0. Is m prime? False Suppose -2*g + 5*g = 1650. Let u = -347 + g. Is u composite? True Suppose 4*w = 4*d + 520, w - 82 = 5*d + 32. Is w a composite number? True Suppose -z = -6*z + 30. Is (-1527)/(-18) + 1/z a prime number? False Suppose -i = -4*l - 67, -97 = 4*l + 2*i + 3*i. Is (-4)/(-18) - 4442/l a composite number? True Let y = 10 + -8. Suppose 0 = 5*u + y*i + 3*i - 30, -5*u = 2*i - 18. Is 1/(-4)*u*-14 a prime number? True Is -1*(-5 + -134 + 0) prime? True Let g be 4/10 - 426/15. Is g/6*156/(-8) a composite number? True Suppose 0 = -b - 0*b - 137. Let g = 267 + b. Suppose 2*a = -4*u + g, -58 = -a + 2*u - 13. Is a a prime number? False Let n(z) = 2*z - 11. Let c be n(8). Let a = c + 2. Is a composite? False Suppose x + 5*g = 5*x - 22, x = -3*g - 3. Let k be (x - 4 - -3) + 3. Let l(t) = t**3 - 4*t**2 - 4*t + 6. Is l(k) a prime number? True Let i be (-1)/3 - 3140/12. Is i/(-14) - (-10)/35 prime? True Suppose -3*s - 8 = -35. Let i(p) = -s*p + 0*p - 5*p - 8 + p. Is i(-9) a composite number? False Let h be (3 + 39/6)*-6. Let c = 124 + h. Is c composite? False Let l = -39 + 41. Let h(x) be the third derivative of 11*x**4/8 - x**3/6 + x**2. Is h(l) prime? False Is (-21208)/(-11) - (1 + 0) prime? False Let y = 3 + -1. Suppose -2*h - y = 0, 173 = 5*m + h + 44. Is 4/m + (-1136)/(-52) a prime number? False Let j be (-21)/35 + (-39806)/(-10). Suppose -d = -3*m - m + 3184, -3*d + j = 5*m. Suppose b - 225 = -2*n, 5*n = -4*b + m - 229. Is n a prime number? False Suppose 5 = -q, -4*g + 2*g + 3*q = -5. Is 2/g - 2451/(-15) composite? False Let t = -156 - -93. Suppose 5*g + 1 = 2*l + 44, l + 3*g + 38 = 0. Let k = l - t. Is k composite? True Let a(b) = -b**2 + 37. Suppose -2*v = 3*v. Is a(v) composite? False Suppose m - 754 + 14 = 0. Let n be m/25 - 4/(-10). Suppose 4*a - n = a. Is a a prime number? False Let i = 11 - 8. Let d be (-2)/(i/5 + -1). Suppose d*s - 6*p - 341 = -2*p, 0 = -3*s - 4*p + 179. Is s composite? True Let g(o) = 13*o**2 - 4*o + 3. Is g(6) composite? True Let v(w) = 2*w**2 - 16*w - 7. Is v(15) a prime number? False Suppose -2*d = -4*d - 18. Is (-462)/d - (-1)/(-3) a prime number? False Is (143/(-65))/((-1)/5) a prime number? True Let z(n) = 2*n**3 - 2*n**2 - n + 1. Let u be z(2). Let j(w) = 3*w**2 - 10*w + 6. Is j(u) composite? False Let l = 1920 - 1340. Suppose -2*k + 6*k = l. Is k a composite number? True Let z(f) be the second derivative of f + 5/6*f**3 - 1/2*f**2 + 0. Is z(1) a prime number? False Suppose -2*q - 6 = 4. Let m = 48 - q. Is m a prime number? True Suppose 2 - 6 = 4*o. Let x(r) = -5*r**3 - r**2 - r - 1. Let j be x(o). Is 55 + 3*j/(-6) composite? False Let f = -449 + 814. Let s = -211 + f. Suppose 3*p - p = s. Is p composite? True Let t = 5 - 3. Let b(d) = -3*d - t*d + 9 + 7*d. Is b(7) composite? False Let r = -1 - -5. Is 88 + 3/(r - 1) a prime number? True Suppose 0 = 8*n - 13*n + 2045. Is n a prime number? True Suppose -125 = -2*i + i + 4*w, 0 = 5*i - 4*w - 577. Is i prime? True Let y be (36/(-10))/(6/(-40)). Suppose 0 = 5*j - 2*a - 44, 8*a = -3*j + 3*a + 45. Let c = y - j. Is c composite? True Suppose 2*t = 271 + 39. Suppose y = 0, h - t + 66 = 2*y. Is h a prime number? True Let v(o) = -o + 8. Let y be v(6). Suppose 2*n + 10 = -0*n, -y*p - n = -317. Is p a prime number? False Let b = 178 - -359. Is b a prime number? False Let m = -3 + 0. Let f be 0 - 1 - (1 + m). Is ((f - 3)/1)/(-1) composite? False Let w = -172 - -1018. Is 2/5 + w/10 composite? True Let k be 4/14 + 52/14. Let w(x) = -x**3 + x**2 - 7*x + 1. Let j(n) = -n**3 + n**2 - 8*n. Let h(u) = 4*j(u) - 5*w(u). Is h(k) composite? True Let f be 1*2 - (-6 + 4). Suppose -5*c = -f - 6. Suppose -4 = r - 4*j, j = -2*r + c*j + 6. Is r a composite number? True Suppose f - 2 = 1. Let c = f + 1. Is 57/c + (-2)/8 prime? False Suppose 11*c - 4*c = 28. Is 192*1 - c - 1 a composite number? True Let t(n) = n**3 + 4*n**2 + n - 3. Let x be t(-3). Suppose x*z = 4*z - 7. Is z a composite number? False Is (-2 - 9/(-6))*-1262 composite? False Let h(z) = -z + 3. Let t be h(0). Suppose 2*d - 252 = -t*n, -5*d = -d - 2*n - 488. Is d a prime number? False Suppose -1417 = -2*q + r + 1014, -r + 4871 = 4*q. Is q prime? True Let s be 66/(-4)*(0 - 6). Suppose 5*k + 230 = -0*k. Let b = s + k. Is b a prime number? True Let d = -7 + 230. Is d a composite number? False Let r(w) = -9*w - 8. Is r(-7) a prime number? False Suppose 3*s + t - 104 = 0, -2*s + 23 = 4*t - 43. Let v = 234 + s. Is v composite? False Suppose 64 = -j + 5*j. Let v = j - -37. Is v prime? True Let p = 458 - 91. Suppose 3*v - p = 386. Is v prime? True Let a(b) = 5*b + 7. Suppose -2*p + 3*z = p - 21, 3*z = -p + 11. Is a(p) composite? False Let p = -13 + 15. Is (-166)/(-3) - p/6 prime? False Let s(p) = -p**3 + 8*p**2 - 6*p - 3. Let q = 25 + -18. Let z be s(q). Suppose -m + z = -17. Is m composite? True Suppose -i + 6*i = -1285. Let f = i + 468. Is f a composite number? False Let c(k) = 995*k**2 + 4*k - 5. Is c(2) prime? False Let w be 3 - -631 - -3*1. Suppose 4*o = 5*z + w, o + 3*z = -z + 175. Is o prime? True Is (0 - 2)*118079/(-62) a composite number? True Let z = -1 + 6. Suppose 0 = 2*l - 17 + z. Suppose 0 = 5*f - 3*n - 727, 3*f - l*f = n - 425. Is f a prime number? False Let m = 22 + -7. Let k be 16/(-6)*(-6)/(-4). Let z = m + k. Is z composite? False Let b = -41 + 928. Is b composite? False Let x(z) = -6*z**3 + 2*z**2 + 12*z - 13. Is x(-6) composite? False Suppose 4*j - 7 = -5*r + 5, -4*r = -5*j + 15. Suppose 3*o = -j*o + 1062. Is o a composite number? True Suppose 0 = 2*v + 4*j + 371 - 1265, j = -4*v + 1816. Suppose -5*x + 0*x + v = 0. Is x a prime number? False Let i(y) = y**3 - 10*y**2 + y - 6. Let x be (-7)/1*10/(-7). Let p be i(x). Suppose k + 177 + 94 = p*w, 4*w - 5*k = 283. Is w prime? True Suppose -4*k = 3*q - 0*k - 28, 0 = 5*k - 20. Suppose -2*y - q + 48 = 0. Is y composite? True Let a be (25/(-4))/((-1)/20). Let n = 192 - a. Is n composite? False Let z = 8 - 1. Suppose -2*m = -z*m + 1685. Is m a composite number? False Let q(d) = -4*d**2 + 2*d + 2. Let t(w) = 8*w**2 - 3*w - 5. Let j(u) = -7*q(u) - 3*t(u). Is j(8) composite? True Suppose 445 = 3*z - 2*z. Is z a prime number? False Let m = -4 + 9. Suppose -u - 4*w + 5 - 2 = 0, -m*u = -w - 57. Is u composite? False Let d(f) = f**3 + 5*f**2 + 3*f + 2. Let c(k) = -5*k**2 + 2*k - 1. Let i be c(1). Let q be d(i). Suppose r - q = 133. Is r composite? False Let
{ "pile_set_name": "DM Mathematics" }
ppose 9*c - 4*c + h = -56, 0 = 4*c + 4*h + 32. Let k be ((-3)/2)/(c/32). Let z(w) = 9*w - 3. What is k*z(d) - 7*y(d)? d + 2 Let q(p) = -3*p**3 + 6*p**2 - 5*p + 4. Let d(b) = -2*b**3 + 5*b**2 - 4*b + 3. What is 4*d(o) - 3*q(o)? o**3 + 2*o**2 - o Let w(v) be the second derivative of -v**4/12 - v**3/6 + v. Let h(k) = 5*k + 543*k**2 - 5*k - 551*k**2 - 7*k. Determine -2*h(z) + 14*w(z). 2*z**2 Let j(x) = x**2 - x + 1. Let t(g) = 47*g**3 + 2*g**2 - 2*g + 2. Determine -2*j(r) + t(r). 47*r**3 Let c(a) = 2369*a + 207. Let l(r) = -23*r - 2. Give -2*c(v) - 207*l(v). 23*v Suppose 1 = h - 3. Suppose h*i = -i + 15. Let v(r) = -2*r**2 + r + 5. Let x(m) = -2*m**2 + m + 6. Calculate i*x(j) - 4*v(j). 2*j**2 - j - 2 Let k(d) = 19*d. Let w(z) = -10*z. Determine 4*k(r) + 7*w(r). 6*r Let x(u) = 3*u + 5. Suppose -2*a - 4*y = -30, a + 7 = 5*y - 13. Let m(j) = j + 3. Give a*m(z) - 3*x(z). -4*z Let g(u) = -u**2 + 5*u - 2. Suppose -5*p + 6 = 21. Let v(h) = 3*h**2 - 14*h + 6. What is p*v(z) - 8*g(z)? -z**2 + 2*z - 2 Let h be (-6)/(-8) - 9/(-4). Let b(w) = 6*w - 2*w**3 - 6*w - h. Let r(p) = -2*p**3 - 2. What is -2*b(k) + 3*r(k)? -2*k**3 Let q(h) = 2*h**3 + 5*h**2 - 5*h. Let m(d) = d**3 + 4*d**2 - 4*d. Let v be (1 + -4)/((-6)/8). Calculate v*q(f) - 5*m(f). 3*f**3 Let k(t) = 3*t - 5. Let l(g) = 6*g - 9. Let z(d) = 9*k(d) - 4*l(d). Let h(o) = 1. Determine 9*h(w) + z(w). 3*w Let q(w) = -2*w + 4. Let t(x) = 1. Let j be 0 - 5*(0 + 2). Let i = j - -13. Calculate i*t(z) - q(z). 2*z - 1 Let h(m) = -m. Let w(v) = -5*v - 29. Determine 4*h(g) - w(g). g + 29 Suppose s + 8 = -s. Let w(d) = -2*d - 4. Let m be (0 - 0 - -5)*1. Let h(v) = m + 2 + 3*v - 9 - 4*v. Determine s*w(n) + 9*h(n). -n - 2 Let h(s) = 3*s**2 + 7*s - 7. Let k(o) = -4*o**2 - 10*o + 10. Let v(l) = l - 5. Let x be v(0). Let j = -10 - x. What is j*k(i) - 7*h(i)? -i**2 + i - 1 Let a(y) = -2 - 7*y + 4 + 1 + 2. Let f(u) = 5*u + 1 - u - 4 + 0. Calculate 3*a(z) + 5*f(z). -z Let x(t) = -2*t**2 - t. Let v(z) = -2*z**3 + 0*z**3 - 3*z**2 + 4*z**2. Let s be v(1). Let u(i) = -i**2 - 4*i**2 - i + 2*i**2 + 2*i**2. Give s*x(w) + u(w). w**2 Let k(d) = 1. Let w(c) = -5*c + 5. Let q = 88 - 87. Calculate q*w(o) - 5*k(o). -5*o Suppose 12*r - 13*r + 22 = 0. Let y(z) = 21*z + 11. Let j(f) = 4*f + 2. Calculate r*j(s) - 4*y(s). 4*s Let v(r) = 11*r - 3. Let l(z) = z + 8. Let m be l(-6). Let k(t) = t + 5*t - m*t - 1. Give -17*k(x) + 6*v(x). -2*x - 1 Let i(b) = -14*b + 5. Let n(g) be the second derivative of 5*g**3/6 - g**2 - 5*g. What is 4*i(x) + 11*n(x)? -x - 2 Let n(j) = -2*j + 1. Let k = -3 + 1. Let u(c) = 85*c + 1 - 2 - 44*c - 40*c. Let d(f) = f - 1. Let t(a) = k*d(a) + 3*u(a). Calculate -n(q) - t(q). q Let c(s) = 24*s**3 + 2*s**2 - 5*s + 9. Let u(v) = 36*v**3 + 3*v**2 - 8*v + 14. Determine 8*c(k) - 5*u(k). 12*k**3 + k**2 + 2 Let n(i) be the third derivative of 0*i - 1/60*i**6 + 0*i**4 + 0 - 1/3*i**3 - 1/15*i**5 + 2*i**2. Let q(h) = -h**3 - 3*h**2 - 1. Calculate -3*n(d) + 4*q(d). 2*d**3 + 2 Let a(u) = -2*u - 2. Let r(f) = -3*f - 2. Calculate -2*a(d) + 3*r(d). -5*d - 2 Let l(y) = y. Let a be (-98)/(-10) - 2/(-10). Let v(m) = a*m - 6*m - 5*m. Determine -4*l(i) - 3*v(i). -i Let g(h) = 4*h - 3. Let o(d) = 7*d - 5. Give -10*g(f) + 6*o(f). 2*f Let h(u) = -35*u - 3. Let x(n) = -18*n - 1. Let z(s) = 3*h(s) - 5*x(s). Suppose -4*l = l - 30. Let b(w) = -4*w + 4 - l - 3*w. Calculate 13*b(f) - 6*z(f). -f - 2 Let w(k) = -7*k - 5. Let t(c) = 8*c + 4. Calculate -5*t(f) - 6*w(f). 2*f + 10 Let u(l) = 8*l + 17. Let w(q) be the third derivative of q**4/8 + q**3 + 19*q**2. Determine 6*u(h) - 17*w(h). -3*h Let x(p) = 2*p**3 + p**2 + 5*p. Let i(v) = v. Let a be (-2)/5 + 6/(-10). Determine a*x(o) + 4*i(o). -2*o**3 - o**2 - o Let o(n) = -4*n + 1. Let c(w) = 6*w - 2. What is 5*c(v) + 8*o(v)? -2*v - 2 Suppose -3 + 0 = 3*z. Let p be (2 + -1)/z - -5. Let w(s) = -6*s**2 + 4*s - 4. Let n(k) = -5*k**2 + 3*k - 3. What is p*n(t) - 3*w(t)? -2*t**2 Let m = -7 + 5. Let s(g) = 3*g**3 + 4*g**2 + g - 2. Let r(q) = -q**3 - q**2 + 1. Give m*r(c) - s(c). -c**3 - 2*c**2 - c Let f(q) = 2*q**3 + 5*q**3 + 496*q**2 - 500*q**2 - 5. Let m(a) be the third derivative of a**6/120 - a**5/60 - a**3/6 + 2*a**2. Give f(i) - 5*m(i). 2*i**3 + i**2 Let b(j) = 1. Let m(x) = -x + 4. Give -3*b(o) + m(o). -o + 1 Suppose 35*p = 37*p + 12. Let l(n) = 7*n + 7. Let a(s) = -13*s - 13. Calculate p*a(c) - 11*l(c). c + 1 Let k(m) = -34*m**3 + 24*m**2 + 14*m - 14. Let g(y) = 7*y**3 - 5*y**2 - 3*y + 3. What is 14*g(f) + 3*k(f)? -4*f**3 + 2*f**2 Let u(x) = -1. Let d(f) = -2*f + 5. Give -d(y) - 2*u(y). 2*y - 3 Let g(y) = -51*y**2 - 21*y + 21. Let w(v) = -10*v**2 - 4*v + 4. Give 4*g(b) - 21*w(b). 6*b**2 Let n(g) = -4*g**2 + 2*g - 1. Let u(p) = -p**2 + 6*p + 6. Let i(z) = -z**2 + 5*z + 5. Let k(f) = 6*i(f) - 5*u(f). Give -3*k(l) + n(l). -l**2 + 2*l - 1 Let t(a) = -7*a - 9. Let l(x) = x + 1. What is 18*l(g) + 2*t(g)? 4*g Suppose 0 = -3*f + f + 3*h, -2*f + 5*h = 4. Let q(c) = -f*c - 7 + c + 3*c + 8*c. Let m(k) = -5*k + 4. Give -7*m(b) - 4*q(b). -b Let o(m) = 9*m + 2. Let i(d) = -90*d - 21. What is -2*i(b) - 21*o(b)? -9*b Let r(v) = 11*v - 6. Let c(b) = -11*b + 5. Calculate -6*c(l) - 5*r(l). 11*l Let p(l) = 3*l**2 - 5*l - 3. Let o(j) = 2. Let v(r) = 4*o(r) + p(r). Let q be ((-2)/(-3))/(1/6). Let z(c) = -2*c**2 + 4*c - 4. Determine q*v(t) + 5*z(t). 2*t**2 Let k(h) = -h**2 - 5*h - 6. Let m(t) = -4*t**2 - 6*t + 3*t**2 - 7 + 0*t**2. Suppose 2*f - 9 = -f. Suppose -f*u - 2*u + 35 = 0. Calculate u*k(a) - 6*m(a). -a**2 + a Let k(h) = -1. Let x(q) = 7*q + 8. Let s(g) = -3*g - 4. Let p(o) = 9*s(o) + 4*x(o). Determine -4*k(w) + p(w). w Let c = 2 + -1. Let d(v) = v. Suppose -3*g + 2*p = 0, p + p + 14 = -4*g. Let x(l) = 3*l - 2. What is c*x(t) + g*d(t)? t - 2 Let o(r) = 3*r**3 + 2*r**2 + 3. Let h(b) = -14*b**3 - 10*b**2 - 16. Determine -3*h(y) - 16*o(y). -6*y**3 - 2*y**2 Let q(j) = -1. Let r be ((-3)/9)/(2/(-54)). Suppose -2*z + 8 = 2*l, 1 - 5 = -2*z. Let p be l/(-9) + (-7)/r. Let o(i) = -2*i - 6. Determine p*o(h) + 8*q(h). 2*h - 2 Let x(y) = -2*y - 3. Let n(l) be the first derivative of l**2 + 4*l + 44. Give 5*n(t) + 6*x(t). -2*t + 2 Let r(y) = -4*y. Let j(k) = 7*k + 6. Let v(w) = w + 1. Let o(g) = j(g) - 6*v(g). Let p = -10 - -4. Calculate p*r(t) - 22*o(t). 2*t Let n(k) be the first derivative of 0*k**2 - 11/4*k**4 + 5 - 7/3*k**3 - 4*k. Let z(d) = -6*d**3 - 4*d**2 - 2. Determine -4*n(b) + 7*z(b). 2*b**3 + 2 Let z(j) = -j**3 - j - 1. Let u(a) = -5*a**3 - a**2 - 4*a. Give u(g) - 4*z(g). -g**3 - g**2 + 4 Let n(k) = 2*k + 2. Let d(z) = -3*z - 3. Let l(y) = 3*d(y) + 4*n(y). Let v(u) = -4*u - 3*u + 4*u + 0*u - 3. Calculate -10*l(p) + 4*v(p). -2*p - 2 Let h(a) = -a. Let g(w) be the first derivative of 2*w**3/3 - 2*w - 2. Let u be g(-4). Suppose m + 4*m = -u. Let j(k) = 6*k. Calculate m*j(x) - 34*h(x). -2*x Let l(z) = -3*z**3 + 2*z**2 + z - 3. Let m(s) = 10*s**3 - 7*s**2 - 4*s + 9. Let v(f) = -f**3 - 15*f**2 + 36*f + 41. Let y be v(-17). What is y*l(o) + 2*m(o)? -o**3 - o - 3 Let f(u) = 6*u - 1. Let r(m) = 18*m - 3. Let q(k) = 17*f(k) - 6*r(k). Suppose -7*t + 3*t = 20. Let h(i) = i. Determine t*h(j) - q(j). j - 1 Let y(l) = 4. Suppose 3*r + 2*r - 2*d + 25 = 0, 2*r - 3*d = -10. Let k = -6 - r. Let b(n) = -n - 1. Calculate k*y(i) - 2*b(i). 2*i - 2 Suppose -5*q = 19 - 4. Let l(a) = 5*a**2 + 2*a + 1. Let o(y) be the third derivative of -y**5/60 - 2*y**2. What is q*o(z) - l(z)? -2*z**2 - 2*z - 1 Let i(o) = -15*o**2 + 111*o. Let q(t) = t**2 - 7*t. Give 2*i(j) + 33*q(j). 3*j**2 - 9*j Let f(u) = -u + 1. Suppose 0 = -2*t + t - 3*j + 16, -j + 4 = 0. Suppose 3 = t*h - 1. Let x(o) = -2*o**2 - 5*o + 4. Give h*x(i) - 4*f(i). -2*i**2 - i Let p(d) = d**2 - 2*d + 4. Let s(k) = -7*k + 4*k**2 - 7*k**2 + 7*k**2 + 17 - 2. Let y(f) = 21*f**2 + 2*f - 1. Let v be y(1). Calculate v*p(n) - 6*s(n). -2*n**2 - 2*n - 2 Let g(i) = 51*i + 3. Let b(w) = -1. Give 3*b(t) + g(t). 51*t Let r(m) = 2*m - 1. Let q(v) = v**2 - v. Let n(d) = 3*d**2 + d. Let k be n(1). Suppose -5*z + k*o - 5 = 0, -5*o - 2 = 2*z - o. Calculate z*r(a) - 2*q(a). -2*a**2 + 1 Let b(w) = 3*w - 8 - w**2 - 6 - 4*w + 7. Let z(k) = 1. Let s(n) = n**2 + 7*n - 1. Suppose 0*v - 14 = 2*v. Let p be s(v). What is p*b(m) - 6*z(m)? m**2 + m + 1 Let u(a) = -a**3 - 4*a**2 + 4*a - 7. Let h(v) = -v**3 - 4. Let b be h(-
{ "pile_set_name": "DM Mathematics" }
rst derivative of -5637*n**2 + 8 + 34*n**3 + 5637*n**2 wrt n? 102*n**2 Suppose 7*z = z + 24. What is the second derivative of 4*w - 9*w + 2*w**z - 7*w**4 wrt w? -60*w**2 Let z(c) be the third derivative of c**6/15 - 13*c**5/60 + 6*c**2. What is the third derivative of z(k) wrt k? 48 Suppose -5*l = -9*k + 4*k + 15, 0 = -4*k + 3*l + 13. Differentiate k*h**4 + 4 - 2*h**4 - 5*h**4 with respect to h. -12*h**3 Let a = -17 + 19. Let f = 2 - -2. What is the second derivative of f*p + 3 - 3 + 4*p**a + 0*p wrt p? 8 Let n(a) be the second derivative of a**5/4 + a**4/12 + 6*a. Find the third derivative of n(o) wrt o. 30 Suppose 4*i - 5*g + 2 - 11 = 0, i - 6 = 5*g. Differentiate 5*b**4 + i - 2*b**4 + 0 - 2 with respect to b. 12*b**3 Suppose -3*a = -8*a. Let b be 2 + 1 - a/(-4). What is the second derivative of 4*x + 2*x**4 - b*x**4 + x**3 - x**3 wrt x? -12*x**2 Let g(o) = o - 1. Suppose 3 + 2 = 2*i + n, 2*i + 2*n = 6. Let d(c) = -5*c + 2*c + i*c. Let t(b) = 4*d(b) + g(b). Differentiate t(x) wrt x. -3 Let h(y) = 22*y**2 + 2*y - 5. Let a(c) = -c**2 + c - 1. Let n(i) = 2*a(i) - h(i). Differentiate n(b) with respect to b. -48*b Let o(g) be the second derivative of 37*g**6/30 - 25*g**2/2 - 5*g. Find the first derivative of o(l) wrt l. 148*l**3 Let y(p) = -8*p**5 + p**3 - 4*p**2 - 1. Let s(l) = -l**5 + l**3 - 1. Let x(f) = s(f) - y(f). What is the third derivative of x(g) wrt g? 420*g**2 Let o(v) be the third derivative of 0 + 1/60*v**6 + 0*v**5 + 4*v**2 + 0*v**4 + 0*v - 1/6*v**3. Differentiate o(d) wrt d. 6*d**2 Suppose -o + 3*o = 4. What is the second derivative of 0*s + 0*s**4 + s**4 - s + o*s wrt s? 12*s**2 Let l be 3*1/1*-1. Let a = -1 - l. What is the derivative of -2 + 2*b**a - 2*b**2 + b**3 wrt b? 3*b**2 Let t(b) = 11*b + 3. Let h(x) = 11*x + 4. Let l(j) = 6*h(j) - 7*t(j). What is the derivative of l(v) wrt v? -11 Let n(z) = 51*z**3 + 21*z**2 - 21*z - 30. Let l(u) = -5*u**3 - 4*u**2 + 2*u**2 + 3 + 4*u - 2*u. Let y(m) = -21*l(m) - 2*n(m). Differentiate y(p) wrt p. 9*p**2 Suppose s + s = 0. Let v be (0 + 2 - s) + 2. Find the third derivative of -2*q**3 - 2*q**2 - q**3 + v*q**3 wrt q. 6 Let k(j) be the second derivative of -j**5/20 + j**4 + 2*j. Find the third derivative of k(f) wrt f. -6 Let p(k) = 53*k**4 + 5*k**3 + 9*k**2 + 5*k. Let s(o) = -27*o**4 - 2*o**3 - 5*o**2 - 2*o. Let w(t) = 2*p(t) + 5*s(t). What is the third derivative of w(c) wrt c? -696*c What is the third derivative of 21*m**3 + 34*m**2 - 19*m**2 - 17*m**2 wrt m? 126 Let p be (-2)/4 - (-5)/10. Let r be (p + 1)*9/3. Find the third derivative of -4*n**2 + n**4 - 3*n**r + 3*n**3 wrt n. 24*n Suppose 6*r - 8*r = 0. Let k(c) be the third derivative of -1/3*c**3 - c**2 + 1/120*c**6 + r*c**5 + 0*c**4 + 0 + 0*c. What is the derivative of k(t) wrt t? 3*t**2 Let c(t) be the first derivative of 0*t - 2 + 0*t**3 - 1/2*t**2 - 3/4*t**4. What is the second derivative of c(n) wrt n? -18*n Let s be (-1)/(-1)*(4 + -1). Let v = 9 - 7. Differentiate v*g**4 - s*g**4 + 2 - 4 wrt g. -4*g**3 Let l(f) be the third derivative of f**8/1680 - f**5/40 - f**3/2 + f**2. Let h(q) be the first derivative of l(q). Find the second derivative of h(a) wrt a. 12*a**2 Let r(m) = 7*m - 7 + 9*m - 7*m. Let l(d) be the third derivative of -d**4/24 + d**3/6 + 4*d**2. Let t(q) = 6*l(q) + r(q). What is the derivative of t(c) wrt c? 3 Differentiate 18*o + 5*o**2 - 15*o - 3*o - 43 with respect to o. 10*o Let x(h) be the first derivative of h**9/1512 - h**5/40 - 2*h**3/3 + 2. Let w(a) be the third derivative of x(a). What is the second derivative of w(g) wrt g? 40*g**3 Suppose 4*k + 34 = 3*m, m = 5*m + k - 58. What is the third derivative of -3*j**2 - 9*j**4 + 5*j**4 + m*j**4 wrt j? 240*j Let w(q) be the second derivative of -3*q**5/10 - q**3/3 - 12*q. Find the second derivative of w(o) wrt o. -36*o Let x be (0 - 2)*28/(-2). Find the second derivative of 3*s - s - s**5 + x - 28 wrt s. -20*s**3 Let h(k) be the second derivative of -k**9/1512 - k**5/24 + 2*k**3/3 - k. Let d(m) be the second derivative of h(m). Find the second derivative of d(n) wrt n. -40*n**3 Suppose -2 - 4 = -3*b. What is the third derivative of p**2 - 2*p**b + p**5 + 3*p**5 wrt p? 240*p**2 Find the second derivative of -3*x + x**5 + 5*x**5 + 0*x - 4*x wrt x. 120*x**3 Let a be (12/(-9))/(2/(-6)). Find the third derivative of 0*n**6 - a*n**2 + 2*n**2 + n**6 wrt n. 120*n**3 Let h = 73 - 19. Find the third derivative of -4 + 4 + 53*g**2 - h*g**2 - 2*g**4 wrt g. -48*g Suppose 7*u + 37 = 72. Let m(z) be the second derivative of 0 + 0*z**4 + 0*z**2 + 1/20*z**u - 2/3*z**3 + 2*z. What is the second derivative of m(s) wrt s? 6*s Let a be (2/(-60))/(2/(-5)). Let p(y) be the second derivative of 1/6*y**3 + 0*y**2 - a*y**4 + 0 + 2*y. Find the second derivative of p(x) wrt x. -2 Let y(j) = 3*j**2 + 0 - 6*j**2 - 5. Let x(h) = h**3 + 8*h**2 + 14. Let c(w) = 3*x(w) + 8*y(w). What is the first derivative of c(v) wrt v? 9*v**2 Let d(o) be the second derivative of 0*o**4 - 1/14*o**7 + 0*o**6 + 0*o**2 - 1/2*o**3 + 0 + 0*o**5 + 2*o. What is the second derivative of d(r) wrt r? -60*r**3 Let n be 3 + 2 + -5 + 4. Find the third derivative of -5*x**3 - n*x**2 + 21*x - 34*x + 13*x wrt x. -30 Suppose 5*f = 11*f - 12. Let i(l) be the second derivative of 0 + 2/3*l**3 - 3/2*l**f - 4*l. What is the derivative of i(g) wrt g? 4 Let q(n) = -15*n**3 + 7*n**2 + 7*n - 14. Let w(h) = 7*h**3 - 3*h**2 - 3*h + 7. Let c(u) = -3*q(u) - 7*w(u). Differentiate c(r) wrt r. -12*r**2 What is the third derivative of -15*v**2 - v**5 + v**5 + 3*v**2 - 12*v**5 wrt v? -720*v**2 Let a(z) = -7*z**4 + 4*z**3 + 13. Let v(g) = g**4 + g**3. Let k(b) = -a(b) + 4*v(b). Find the first derivative of k(x) wrt x. 44*x**3 Let x(m) be the first derivative of -m**5/5 - 11*m**2/2 - 10. Find the second derivative of x(w) wrt w. -12*w**2 Let j = 4 - 2. Differentiate 0*f + j*f + 7 - 4 with respect to f. 2 Let t(s) be the first derivative of 1/2*s**2 - s - 2. What is the first derivative of t(c) wrt c? 1 Let z be (-7 - -10) + (-3)/2. Let a(w) be the second derivative of -3*w - 1/6*w**3 + 0 + z*w**2. What is the first derivative of a(r) wrt r? -1 What is the second derivative of y**2 - 25*y**4 + 20*y**4 + 4*y - y**2 wrt y? -60*y**2 Let z(u) be the first derivative of 4*u**7/7 + u**3 + 8. What is the third derivative of z(k) wrt k? 480*k**3 Let u(w) be the second derivative of -7*w**5/10 + 3*w**2 - 9*w. Find the first derivative of u(c) wrt c. -42*c**2 Let w(s) = 15*s**4 - 6*s**3 + 57*s**2 - 4. Let b(d) = 15*d**4 - 7*d**3 + 58*d**2 - 5. Let g(n) = -4*b(n) + 5*w(n). What is the third derivative of g(m) wrt m? 360*m - 12 Suppose -2*b = -0*b - 4. Suppose -o - m = -4*m + 4, o - 10 = -4*m. Find the third derivative of 8 + 5*p**o - 8 - b*p**4 - p**2 wrt p. -48*p Let u = 4 - -1. What is the second derivative of 7*z**3 - z**u - 7*z**3 - 2*z + 4*z wrt z? -20*z**3 Suppose 3 = -f + 21. What is the third derivative of f*w**5 - 7*w**2 - w**6 - 18*w**5 wrt w? -120*w**3 Let t(s) be the first derivative of -s**4/6 + s**3/2 - s**2 + 1. Let b(i) be the second derivative of t(i). Differentiate b(r) with respect to r. -4 Let v = -5 - -10. Differentiate -3*d**4 + 3 - 2 + v*d**4 wrt d. 8*d**3 Let o(t) be the first derivative of 5*t**6/3 - 19*t**3/3 - 12. Find the third derivative of o(f) wrt f. 600*f**2 Let o(k) be the first derivative of -9*k**5/5 - 4*k**3/3 - 4. What is the third derivative of o(w) wrt w? -216*w Let w(i) be the second derivative of 3/2*i**2 - 7/12*i**4 + 0 + 0*i**3 - 3*i. What is the first derivative of w(c) wrt c? -14*c Let a(f) be the first derivative of 3*f**4/4 + 4*f**3/3 + 6. Find the third derivative of a(m) wrt m. 18 Let o(r) = 4*r**4 - 8. Let j(i) = 3*i**4 - 8. Let p(q) = 3*j(q) - 2*o(q). Differentiate p(h) with respect to h. 4*h**3 What is the second derivative of 2*f - 4*f**5 + 2*f + 3*f**5 wrt f? -20*f**3 Differentiate -k**3 + 8*k**3 + 9 + 105*k - 105*k with respect to k. 21*k**2 Suppose r - 20 + 17 = 0. Let w(x) be the first derivative of -2*x - 1/3*x**r + 0*x**2 + 1. Find the first derivative of w(q) wrt q. -2*q Let d(f) be the third derivative of -f**4/6 - 5*f**3/6 - 4*f**2. What is the first derivative of d(g) wrt g? -4 What is the third derivative of -12*m**3 + 4*m**3 - 10*m**3 + 24*m**2 + 25*m**2 wrt m? -108 Let w(h) be the firs
{ "pile_set_name": "DM Mathematics" }
381 List the prime factors of 8540044. 2, 19, 37, 3037 What are the prime factors of 344407? 7, 49201 List the prime factors of 965406. 2, 3, 13, 12377 List the prime factors of 5258933. 17, 31, 587 List the prime factors of 113874. 2, 3, 18979 What are the prime factors of 689634? 2, 3, 11, 43 What are the prime factors of 595425? 3, 5, 17, 467 List the prime factors of 33914673. 3, 13, 23, 4201 What are the prime factors of 3418603? 3418603 List the prime factors of 549841. 19, 43, 673 List the prime factors of 2433828. 2, 3, 127, 1597 What are the prime factors of 3205939? 11, 37, 7877 List the prime factors of 206879. 206879 List the prime factors of 2151426. 2, 3, 358571 What are the prime factors of 630369? 3, 37, 631 What are the prime factors of 19915277? 331, 60167 List the prime factors of 1360599. 3, 59, 7687 List the prime factors of 22665445. 5, 11, 412099 What are the prime factors of 16272994? 2, 8136497 List the prime factors of 365523. 3, 37, 89 List the prime factors of 2000269. 2000269 What are the prime factors of 15190393? 15190393 What are the prime factors of 131060? 2, 5, 6553 List the prime factors of 20591262. 2, 3, 1143959 List the prime factors of 21069720. 2, 3, 5, 7, 929 List the prime factors of 21833779. 11, 617, 3217 List the prime factors of 303038. 2, 277, 547 List the prime factors of 2448631. 2448631 List the prime factors of 240893. 240893 What are the prime factors of 1244153? 1244153 List the prime factors of 287035. 5, 7, 59, 139 What are the prime factors of 9603128? 2, 37, 32443 What are the prime factors of 1953316? 2, 488329 List the prime factors of 12336094. 2, 2437, 2531 List the prime factors of 215599. 37, 5827 List the prime factors of 25856226. 2, 3, 11, 19, 29, 79 What are the prime factors of 1667199? 3, 383, 1451 List the prime factors of 1286506. 2, 13, 49481 List the prime factors of 908088. 2, 3, 157, 241 What are the prime factors of 471374? 2, 211, 1117 What are the prime factors of 1081283? 7, 22067 List the prime factors of 8310382. 2, 17, 244423 List the prime factors of 5633928. 2, 3, 26083 List the prime factors of 224616. 2, 3, 7, 191 What are the prime factors of 18760263? 3, 359, 17419 List the prime factors of 1537016. 2, 13, 14779 List the prime factors of 3131996. 2, 7, 111857 List the prime factors of 355512. 2, 3, 14813 What are the prime factors of 10246737? 3, 3415579 What are the prime factors of 814811? 83, 9817 List the prime factors of 5696770. 2, 5, 19, 29983 List the prime factors of 18509017. 2749, 6733 List the prime factors of 7383305. 5, 19, 77719 List the prime factors of 11883864. 2, 3, 495161 What are the prime factors of 1991635? 5, 17, 23431 What are the prime factors of 229335? 3, 5, 15289 What are the prime factors of 4573079? 7, 131, 4987 List the prime factors of 2014815. 3, 5, 11, 12211 What are the prime factors of 19877? 11, 13, 139 What are the prime factors of 5383816? 2, 672977 What are the prime factors of 1932019? 1381, 1399 What are the prime factors of 294116? 2, 73529 What are the prime factors of 3335783? 11, 29, 10457 What are the prime factors of 1830949? 379, 4831 List the prime factors of 1741581. 3, 2389 What are the prime factors of 312874? 2, 156437 List the prime factors of 267642. 2, 3, 14869 What are the prime factors of 6103528? 2, 31, 24611 List the prime factors of 2735408. 2, 13, 13151 List the prime factors of 4442768. 2, 11, 25243 List the prime factors of 2917597. 53, 55049 What are the prime factors of 413377? 479, 863 List the prime factors of 7584581. 7584581 List the prime factors of 1166885. 5, 19, 71, 173 List the prime factors of 7071530. 2, 5, 707153 List the prime factors of 5761344. 2, 3, 37, 811 What are the prime factors of 3774718? 2, 1887359 List the prime factors of 7289914. 2, 3644957 What are the prime factors of 5051187? 3, 187081 What are the prime factors of 2822592? 2, 3, 61, 241 What are the prime factors of 2177177? 179, 12163 What are the prime factors of 1466049? 3, 13, 37591 What are the prime factors of 201840? 2, 3, 5, 29 List the prime factors of 452502. 2, 3, 23, 1093 What are the prime factors of 10384106? 2, 439, 11827 List the prime factors of 21088942. 2, 7, 17, 88609 List the prime factors of 323216. 2, 20201 List the prime factors of 6468827. 29, 223063 What are the prime factors of 563579? 61, 9239 What are the prime factors of 5338845? 3, 5, 71, 557 What are the prime factors of 9328977? 3, 7, 148079 List the prime factors of 159970. 2, 5, 17, 941 What are the prime factors of 4153804? 2, 409, 2539 What are the prime factors of 1408343? 97, 14519 List the prime factors of 5643382. 2, 409, 6899 List the prime factors of 64130. 2, 5, 11, 53 List the prime factors of 3904753. 3904753 List the prime factors of 463078. 2, 7, 11, 31, 97 What are the prime factors of 29044741? 11, 37, 71363 List the prime factors of 82261. 82261 What are the prime factors of 199835? 5, 17, 2351 What are the prime factors of 2708651? 11, 246241 What are the prime factors of 1299118? 2, 649559 What are the prime factors of 1450878? 2, 3, 11, 13, 19, 89 What are the prime factors of 33920553? 3, 239, 47309 What are the prime factors of 15728781? 3, 5242927 List the prime factors of 2345118. 2, 3, 41, 9533 List the prime factors of 66943. 66943 What are the prime factors of 21869623? 107, 313, 653 List the prime factors of 1028438. 2, 514219 What are the prime factors of 360094? 2, 7, 17, 89 What are the prime factors of 38869? 47, 827 List the prime factors of 1374622. 2, 687311 List the prime factors of 1522896. 2, 3, 31727 List the prime factors of 524552. 2, 7, 17, 19, 29 List the prime factors of 1849915. 5, 369983 What are the prime factors of 7832494? 2, 29, 135043 What are the prime factors of 6225148? 2, 73, 21319 List the prime factors of 2125854. 2, 3, 89, 1327 List the prime factors of 5012626. 2, 2506313 List the prime factors of 1321606. 2, 11, 13, 4621 What are the prime factors of 7927353? 3, 7, 29, 4339 List the prime factors of 8391278. 2, 7, 43, 53, 263 What are the prime factors of 1052053? 773, 1361 List the prime factors of 4143067. 4143067 List the prime factors of 633167. 23, 27529 What are the prime factors of 473566? 2, 236783 List the prime factors of 10278762. 2, 3, 13, 131779 What are the prime factors of 2546032? 2, 227, 701 List the prime factors of 688539. 3, 283, 811 List the prime factors of 9030920. 2, 5, 31, 7283 List the prime factors of 2565797. 13, 197369 List the prime factors of 15291127. 15291127 What are the prime factors of 282011? 282011 List the prime factors of 21354. 2, 3, 3559 What are the prime factors of 19481577? 3, 97, 66947 List the prime factors of 314899. 13, 24223 List the prime factors of 2795782. 2, 11, 127081 List the prime factors of 813350. 2, 5, 16267 List the prime factors of 8121081. 3, 293, 9239 List the prime factors of 6988531. 11, 211, 3011 What are the prime factors of 370639? 281, 1319 List the prime factors of 2692104. 2, 3, 23, 4877 List the prime factors of 703524. 2, 3, 23, 2549 What are the prime factors of 494852? 2, 193, 641 What are the prime factors of 218008? 2, 7, 17, 229 What are the prime factors of 229090? 2, 5, 31, 739 List the prime factors of 4612630. 2, 5, 11, 19, 2207 List the prime factors of 814785. 3, 5, 54319 List the prime factors of 2543687. 47, 54121 What are the prime factors of 3197883? 3, 13, 167, 491 What are the prime factors of 1409520? 2, 3, 5, 7, 839 List the prime factors of 122552. 2, 15319 List the prime factors of 71534. 2, 47, 761 What are the prime factors of 305021? 305021 List the prime factors of 841759. 379, 2221 List the prime factors of 1008577. 19, 109, 487 What are the prime factors of 168211? 168211 What are the prime factors of 17559833? 23, 763471 What are the prime factors of 2121369? 3, 19, 37217 What are the prime factors of 6598828? 2, 1649707 List the prime factors of 6908661. 3, 191, 4019 List the prime factors of 345436. 2, 7, 13, 73 List the prime factors of 666532. 2, 281, 593 List the prime factors of 6049804. 2, 271, 5581 What are the prime factors of 2849493? 3, 23, 61, 677 List the prime factors of 3247404. 2, 3, 19, 14243 List the prime factors of 5742938. 2, 2871469 List th
{ "pile_set_name": "DM Mathematics" }
**2 + y - 1. Suppose w + 2*w = 2*k + 6, w - 4*k = 2. Let d be w - 12/12*(-1 - -1). Determine f(d). -3 Let d(p) = -p**2 + 2*p. Let k be ((-27)/12)/(1/(-4)). Suppose 24 = k*h - 3. Determine d(h). -3 Let t(d) be the third derivative of 3/8*d**4 - 14*d**2 + 0 + 1/3*d**3 + 0*d. Give t(-3). -25 Let c(g) = -63*g - 14*g + 4*g**2 - g**3 + 0*g**3 + 90*g - 6 - 7*g. Determine c(5). -1 Let d(g) = g**2 - 2*g + 6. Suppose -110*y = -116*y + 18. Give d(y). 9 Let f(d) = -d**3 - 5*d**2 + 2*d + 1. Suppose -3*p - 9 + 18 = 0. Suppose -4*h + 7*m - 2*m = 25, p*h - m + 16 = 0. Give f(h). -9 Let l(h) = h**3 - 11*h**2 - 22*h + 17. Let i be l(12). Let k = 92 + i. Let a(f) = f**3 + 12*f**2 + 12*f - 4. Determine a(k). -15 Let x be ((-3)/108)/(7/(42/(-2))). Let u(t) be the second derivative of 0 - 7/6*t**3 + x*t**4 + t - 3*t**2. What is u(7)? -6 Let d(m) = 5*m**3 + 3*m**2 - m - 8. Let x(z) = 6*z**3 + 2*z**2 - z - 8. Let i(y) = 7*d(y) - 6*x(y). What is i(9)? -17 Let j(g) be the third derivative of -g**6/40 - g**5/60 + g**4/12 + g**3/3 - 326*g**2. What is j(-1)? 2 Suppose -3*y + 468 = -0*y. Let j = y + -148. Let p(t) = -t**3 + 8*t**2 + 6. Give p(j). 6 Let g(q) = q**2 - 8*q + 5. Suppose 5*p - 3*i = i + 36, 5*i = -3*p + 29. Let w be g(p). Suppose -w = 2*o + 3. Let v(f) = f**2 + 6*f + 1. Calculate v(o). -7 Let k = -27 - -29. Let x(d) = -3*d - k - 7*d - d + 5*d. What is x(2)? -14 Let n(t) be the first derivative of -t**2/2 + t - 1. Suppose -2*y = -225 + 237, -3*h = -y + 3. Give n(h). 4 Let o(l) = -123735*l**3 - 1 + 123736*l**3 + l**2 - l + 0. Let p(u) = -u**2 - 4*u + 1. Let c be p(-2). Let y = c - 7. Calculate o(y). -3 Let u = -1121 + 1123. Let q(w) = -w**3 + 3*w - 4. Determine q(u). -6 Let k(s) = -s**3 - 57*s**2 + 9 + 58*s**2 + 7 - 2*s. Give k(0). 16 Let t(z) = -10*z + z**3 + 67*z**2 + 9 - 2*z**3 - 59*z**2. What is t(7)? -12 Let k(m) = 26*m + 1. Let f(a) = 5*a. Let j(b) = 11*f(b) - 2*k(b). Suppose z + 4*q = -8 + 15, z - 1 = 2*q. Determine j(z). 7 Let d(y) = y**3 - 8*y**2 - 8*y - 5. Let k = -13 - -14. Let g = 10 - k. Give d(g). 4 Let k(u) be the first derivative of u**2 - 23*u - 414. Give k(14). 5 Let p(a) be the second derivative of a**4/24 + 4*a**3/3 + 5*a**2/2 + 3*a. Let y(v) be the first derivative of p(v). Determine y(-7). 1 Let c be (-17)/34 + (-15)/2. Let d(h) = -2*h**3 - 14*h**2 + 19*h + 20. Determine d(c). -4 Let u(n) = 9*n**3 + 7*n**2 - 9*n - 9. Let d(z) = -20*z**3 - 15*z**2 + 19*z + 19. Let q(i) = -4*d(i) - 9*u(i). What is q(-4)? 1 Suppose 12*g + 747 = -633. Let q = -111 - g. Let b(l) = 6*l - 3. Give b(q). 21 Let b(d) = -44*d**2 - 222*d - 2. Let p be b(-5). Let q(x) = 2*x - 12. What is q(p)? 4 Let i(p) = -2*p - 6. Let h be i(-6). Let r be ((-1)/1)/(1/h). Let n(b) be the second derivative of b**3/6 + 9*b**2/2 - 430*b. Calculate n(r). 3 Let r(v) be the second derivative of 13*v**4/6 + v**2/2 - 75*v. What is r(-1)? 27 Let j(k) be the third derivative of -k**6/120 + k**4/8 - 2*k**3/3 - k**2. Suppose -3*v + 9 = 2*b - 7*b, 5*b - 5*v + 5 = 0. What is j(b)? 14 Let l(t) = -65*t + 68. Let p be l(1). Let o(j) be the third derivative of j**6/120 - j**5/30 - 5*j**4/24 + j**3/3 - 3*j**2. Calculate o(p). -4 Let n(s) = -3*s**3 - 6*s**2 - 5*s - 5. Let o be n(-2). Let p(a) = -a**3 + 5*a**2 + a - 1. Calculate p(o). 4 Suppose 0 = -2*z + l + 16, z + 2*l + 18 = 3*z. Suppose -z*p + 2 = -40. Let o(b) = -2*b + 8. Determine o(p). -4 Let a(p) = -2*p - 11. Let j be ((22 + -4)/3)/(-1). Let t be a(j). Let q(k) = 2*k + t + 4 + 4. What is q(-6)? -3 Let m(g) = -g**2 - 5*g + 4. Let p be (-48)/40*(4 - -1). Determine m(p). -2 Let r(u) = -2*u - 1. Let v(s) = 3*s + 1. Let f = 19 + -9. Suppose g + f = -g. Let h(t) = g*r(t) - 2*v(t). What is h(-2)? -5 Suppose 0 = -659*g + 667*g + 24. Let d(f) = -9*f - 4. Determine d(g). 23 Let g be (-14 + 0)/((-3)/3). Let k = -21 + g. Let d be k/(-21)*1*3. Let z(s) = 3*s. Determine z(d). 3 Suppose -4*q - 9 = 3*h + 5, q + 1 = -2*h. Let t(f) = 7*f**2 - 4*f + 5. Let g be t(h). Let y = g + -23. Let k(b) = b**2 - 3*b + 2. Give k(y). 0 Let p(n) = 2*n**2 - n - 1. Suppose 17*w = 20*w - 3, 5*q + 7 = -3*w. What is p(q)? 9 Suppose -5*i - j + 11 + 4 = 0, -2*i - 2*j + 6 = 0. Let p(g) = 5*g**i - 6 - 6*g**3 + 6*g + 4*g**2 - 3*g - g. What is p(4)? 2 Let i(d) = -2*d**2 + 16*d + 8. Let j(v) = -3*v**2 + 19*v + 9. Let p(x) = 4*i(x) - 3*j(x). What is p(-3)? -7 Let j = -1 + -1. Let i = -11 + 13. Let y(o) = -8*o**2 + 7*o**2 + o**i + 2*o**2 + 1. What is y(j)? 9 Let g(o) = 2*o + 2. Let l be (1 + 3)*(1 - 2). Calculate g(l). -6 Let v(o) = 4*o - 1. Let i be v(1). Suppose -2*c = 3*c - 20. Let q(s) = -3*s + 5*s - c*s + 4 + 0*s. Determine q(i). -2 Let i(k) = k**3 + 3*k**2 - 5*k + 14*k - 9 + 0*k - 4*k**2 - 8*k**2. Give i(8). -1 Let a(g) = -g**3 - 6*g**2 - g + 4. Suppose 13 = 5*b + n, -2*b + 5*n - 6 = 5. Suppose -16 = b*h - 2*x, 3*h - 7*h + 2*x - 28 = 0. Determine a(h). 10 Let w(r) = 0 - 4*r**3 - 10*r**2 - 268*r + 3*r**3 - 4 + 265*r. Give w(-10). 26 Suppose -o + 2*l - 2 = -4, 2*o - 4 = 5*l. Suppose -4*s + 6 = -o. Let g be s - -4 - (4 + -3). Let i(d) = d - 9. Calculate i(g). -4 Let r(y) = 3 - 5 - y**3 - 38*y + 38*y + 5*y**2. Suppose 4*q + 15 = -2*u - 5, -1 = -5*q + 4*u. Let x = q - -8. Give r(x). -2 Let l(k) be the third derivative of -k**8/20160 + k**7/560 - k**6/180 + 7*k**5/10 - 33*k**2. Let w(d) be the third derivative of l(d). Calculate w(8). 4 Suppose 0 = -26*r + 17*r + 144. Suppose -z + 18 = 2*z. Let d(g) = 3*g + r - z*g + g + g. Calculate d(7). 9 Suppose 0 = 4*u - 0*z - 4*z - 16, 0 = -z. Suppose 70 = 3*o - u*h, -2*o + 4*h - 106 = -7*o. Let d = -19 + o. Let t(g) = g**3 - 2*g**2 - 4*g + 4. Give t(d). 1 Let a be (1 + 0)/((-2)/(-2)). Let p(h) = 15*h + 2. Let u(x) = -7*x - 1. Let w(r) = -3*p(r) - 7*u(r). What is w(a)? 5 Let g(m) = -m - 11. Suppose 9*n - 12*n = 30. Determine g(n). -1 Let j(l) = l**2 - 3*l - 3. Suppose 0 = -5*s - 2 + 22, 0 = -5*d + 2*s + 12. Let h = d + -3. Let x be (-4 + (-1)/h)*-1. Determine j(x). 7 Suppose 6*t = 49 - 1. Let a(s) = -11*s**3 + 5*s**2 + 18*s - 24. Let w(r) = -5*r**3 + 3*r**2 + 9*r - 12. Let q(y) = 4*a(y) - 9*w(y). Calculate q(t). 4 Let u(j) be the first derivative of 3*j**2/2 - j - 491. Give u(-1). -4 Let h(p) be the second derivative of -p**3/2 - p**2/2 - p. Let l(f) = 50*f + 198. Let y be l(-4). Calculate h(y). 5 Let t(g) be the first derivative of g**2/2 + 3*g - 170. What is t(6)? 9 Suppose -10 = -2*f, 2*y - f = -2 + 7. Let a(u) = 4 - u - 2 + 3. Give a(y). 0 Suppose -g - 3*f = -10, 12*f - 12 = -2*g + 10*f. Let y(x) = x**3 - 5*x**2 + 7*x - 10. What is y(g)? 2 Let n be 948/18 + 4/(-6). Let m(r) = -n + 0*r - r + 37. Give m(0). -15 Suppose -3*d = -2*r, 5*r - 34 = 8*r + 4*d. Let b(m) = -m**3 + 2*m**2 + 48*m - 4. Give b(r). -4 Let h be -4 + 1*(-1 + 13). Let v = h - 2. Let q(k) = -k**2 + 5*k - 3. Give q(v). -9 Let c(j) = j + 7. Let k = 5 - -2. Suppose -k = -a - 2. Suppose -20 = -s + a*s. Give c(s). 2 Let f(b) = 2*b**2 - 6*b + 3. Let a = 9 + -8. Suppose a + 35 = 2*u. Suppose -z - 4*p = -6 - u, -p + 21 = 4*z. Give f(z). 11 Let w(f) = -f + 3. Let j be w(-1). Suppose q - 2*b = -4*b - 14, q - j*b - 10 = 0. Let a(u) = -u**2 - 7*u. Calculate a(q). 6 Suppose c - v = 3, -2*v = -3*c + 7 + 4. Suppose -3*a = -b + 13 - c, 0 = -4*a - b - 20. Let y(l) = l - 2. Give y(a). -6 Let o(z) = 2*z**3 + 3*z**2 - 3*z - 4. Let q(k) = -k**3 + 2. Let f(n) = -o(n) - 3*q(n). Calculate f(2). 0 Let h(w) = -4*w - 10. Let y = -61 + 53. Calculate h(y). 22 Let a(w) = 2*w + 1. Let d be (-11)/44 + (-146)/(-8). Suppose k - 4 = h + 1, 2*h + d = 4*k. Let q(f) = f. Let r be q(h). Give a(r). -1 Let r(a) = -a - 15. Let b = -66 - -104. Suppose -47 = j - b. What is r(j)? -6 Let v(g) = g**3 + 8*g**2 - g - 12. Let h = -927 - -919. What is v(h)? -4 Let x(j) = -j + 5. Let o = 47 - 47. Suppose 3*l + 5*p + o*p = 35, 4 = p. What is x(l)? 0 Let a(k) = -21*k - 1. Suppose 5 = -4*h + 5*n, -n + 3*n = 4*h - 10. Suppose 0 = -f - h + 6. Give a(f). -22 Let y = 0 + 4. Let s(a) = -a + 1. Suppose 5*d - 3*d - 12 = -5*q, 16 = -3*d + q. Let k(l) = -l**2 - 4*l + 9. Let n(p) = d*s(p) + k(p). Determine n(y). -11 Let f(d) = -350*d - 19 + 7 + 338*d - d**2. Calculate f(-9). 15 Let q(a) be the third derivative of a**6/120 - 11*a**5/60 - 11*a**4/24 - a**3/2 - 2*a**2 - 13*a. Calculate q(12). 9 Suppose -m + 5*m - 20 = 0. Let f be m/(-2)*(-12)/15. Sup
{ "pile_set_name": "DM Mathematics" }
am in milligrams? 75 How many years are there in 41.16175 decades? 411.6175 What is eleven halves of a hour in minutes? 330 How many micrograms are there in fourty-nine fifths of a milligram? 9800 How many meters are there in 3/25 of a kilometer? 120 Convert 625753.9 micrometers to kilometers. 0.0006257539 How many millilitres are there in 21/8 of a litre? 2625 What is 6/25 of a micrometer in nanometers? 240 How many nanometers are there in 0.3855153 meters? 385515300 What is 3/10 of a centimeter in millimeters? 3 How many months are there in 4/3 of a year? 16 What is 7/2 of a week in hours? 588 What is 52/5 of a litre in millilitres? 10400 How many months are there in five eighths of a millennium? 7500 What is 27995.673 months in decades? 233.297275 How many millilitres are there in 9/10 of a litre? 900 What is 0.7027387t in grams? 702738.7 What is 3/5 of a litre in millilitres? 600 How many decades are there in 7857.56 millennia? 785756 Convert 99.16976 hours to microseconds. 357011136000 What is 719035.6 millilitres in litres? 719.0356 What is 98/5 of a litre in millilitres? 19600 Convert 692.3172 hours to seconds. 2492341.92 How many kilograms are there in fifty-three fifths of a tonne? 10600 What is 27/4 of a century in years? 675 How many kilometers are there in 7.503817 nanometers? 0.000000000007503817 What is twenty-nine sixths of a decade in months? 580 How many grams are there in thirty-seven fifths of a kilogram? 7400 How many microseconds are there in 6/5 of a millisecond? 1200 Convert 0.4942857ns to minutes. 0.000000000008238095 What is 5/4 of a year in months? 15 Convert 7101.167l to millilitres. 7101167 How many nanometers are there in 11.28468um? 11284.68 What is 8/25 of a litre in millilitres? 320 What is 27790.6 centuries in years? 2779060 How many milligrams are there in seven quarters of a gram? 1750 How many grams are there in 7.327963t? 7327963 What is 3/25 of a kilogram in grams? 120 Convert 0.02542mg to micrograms. 25.42 Convert 59.61581 decades to centuries. 5.961581 How many centimeters are there in 17575.81um? 1.757581 What is 8.952043 centuries in years? 895.2043 What is 57/2 of a kilometer in meters? 28500 How many nanograms are there in 8886.629 tonnes? 8886629000000000000 How many centimeters are there in 51639.71 kilometers? 5163971000 What is thirty-one halves of a minute in seconds? 930 What is 85.89236um in millimeters? 0.08589236 How many hours are there in seven quarters of a day? 42 What is seven sixths of a century in months? 1400 How many millennia are there in 2492.9142 months? 0.20774285 How many months are there in twenty-one fifths of a millennium? 50400 How many millilitres are there in 21/2 of a litre? 10500 What is 1/10 of a week in minutes? 1008 What is 63.37947 months in years? 5.2816225 Convert 14119.45 nanograms to grams. 0.00001411945 What is 6/25 of a kilometer in centimeters? 24000 Convert 8.971274 milligrams to tonnes. 0.000000008971274 How many micrometers are there in 1/4 of a millimeter? 250 How many hours are there in 3/28 of a week? 18 What is 48692.18 centuries in millennia? 4869.218 How many meters are there in 1.329311km? 1329.311 How many millilitres are there in 97334.96 litres? 97334960 What is one fifth of a millimeter in micrometers? 200 What is twenty-five quarters of a gram in milligrams? 6250 How many centuries are there in 9/10 of a millennium? 9 Convert 0.0868641 millennia to months. 1042.3692 How many years are there in 28.27236 centuries? 2827.236 How many months are there in 0.6552934 decades? 78.635208 How many micrometers are there in 29/2 of a millimeter? 14500 What is thirteen quarters of a litre in millilitres? 3250 What is 1/5 of a milligram in micrograms? 200 How many microseconds are there in 3290.093ns? 3.290093 How many millilitres are there in 21/4 of a litre? 5250 How many millilitres are there in 72929.82 litres? 72929820 How many kilograms are there in 25/2 of a tonne? 12500 How many millilitres are there in 26/5 of a litre? 5200 What is 84327.6m in nanometers? 84327600000000 How many months are there in four fifteenths of a millennium? 3200 What is 42/5 of a minute in seconds? 504 How many nanoseconds are there in 318.3983us? 318398.3 How many minutes are there in one sixth of a week? 1680 What is eleven halves of a litre in millilitres? 5500 What is 21.521142 months in millennia? 0.0017934285 How many nanometers are there in 4147.454cm? 41474540000 What is 3/5 of a meter in centimeters? 60 How many grams are there in 5138.791 micrograms? 0.005138791 How many hours are there in 11/8 of a day? 33 What is thirty-one fifths of a gram in milligrams? 6200 How many seconds are there in 6/5 of a hour? 4320 Convert 138691.1 centimeters to kilometers. 1.386911 What is fifty-five halves of a millimeter in micrometers? 27500 How many centuries are there in six fifths of a millennium? 12 How many milliseconds are there in 865836.5 weeks? 523657915200000 How many grams are there in 27/2 of a kilogram? 13500 How many micrograms are there in 1/64 of a gram? 15625 How many kilograms are there in 719560.6mg? 0.7195606 How many millilitres are there in 3/5 of a litre? 600 Convert 60905.85um to meters. 0.06090585 What is twenty-five quarters of a millimeter in micrometers? 6250 What is 9/25 of a litre in millilitres? 360 Convert 946.3252 nanometers to micrometers. 0.9463252 What is 6.572837 micrograms in milligrams? 0.006572837 What is 339108.5ml in litres? 339.1085 What is 1/4 of a kilogram in grams? 250 How many kilograms are there in 27/4 of a tonne? 6750 How many milliseconds are there in five quarters of a minute? 75000 What is one quarter of a kilogram in grams? 250 What is 38928.8 decades in months? 4671456 How many milligrams are there in thirty-one halves of a gram? 15500 How many micrometers are there in seven halves of a millimeter? 3500 How many minutes are there in twenty-five eighths of a week? 31500 How many months are there in 2215.834 decades? 265900.08 What is 6/5 of a millennium in years? 1200 What is one fifth of a day in seconds? 17280 Convert 464577.8 centuries to millennia. 46457.78 What is 2.520638m in micrometers? 2520638 What is 5/4 of a hour in minutes? 75 How many nanometers are there in 7.268826 meters? 7268826000 What is twenty ninths of a day in minutes? 3200 Convert 79.54861g to tonnes. 0.00007954861 What is 3/8 of a micrometer in nanometers? 375 Convert 600954.4kg to tonnes. 600.9544 What is twenty-seven quarters of a micrometer in nanometers? 6750 How many millilitres are there in 0.267396l? 267.396 What is seven sixths of a century in months? 1400 How many kilograms are there in 30684.5g? 30.6845 What is 43/2 of a litre in millilitres? 21500 What is 41/2 of a litre in millilitres? 20500 What is seven halves of a millennium in decades? 350 What is 8/21 of a week in hours? 64 How many centuries are there in 66486.09 years? 664.8609 What is 0.6095781kg in milligrams? 609578.1 What is twenty-one fifths of a second in milliseconds? 4200 How many seconds are there in 8/3 of a hour? 9600 How many tonnes are there in 763168.4kg? 763.1684 What is 0.1100217 grams in micrograms? 110021.7 What is eighteen fifths of a kilogram in grams? 3600 How many millilitres are there in 26/5 of a litre? 5200 How many litres are there in 584.7419ml? 0.5847419 Convert 8.402838 years to months. 100.834056 How many months are there in 1/16 of a century? 75 What is 1/5 of a kilometer in meters? 200 Convert 619562.5l to millilitres. 619562500 Convert 49.46227 days to milliseconds. 4273540128 What is 1/72 of a hour in seconds? 50 How many months are there in 33/5 of a century? 7920 How many millimeters are there in 3/40 of a kilometer? 75000 How many months are there in twenty-seven halves of a century? 16200 What is three eighths of a litre in millilitres? 375 What is sixty-three eighths of a millennium in months? 94500 What is 2864.312km in nanometers? 2864312000000000 How many months are there in 1/16 of a century? 75 Convert 2414.881 hours to seconds. 8693571.6 What is fifty-five quarters of a litre in millilitres? 13750 What is 9/10 of a gram in milligrams? 900 What is 73792.55 decades in millennia? 737.9255 How many nanometers are there in twenty-one eighths
{ "pile_set_name": "DM Mathematics" }
lse Is 99826 a multiple of 10? False Does 213 divide 286272? True Is 5127880 a multiple of 9? False Is 17132 a multiple of 4? True Is 271 a factor of 528241? False Is 192 a factor of 3960576? True Does 65 divide 106090? False Does 135 divide 6066111? False Is 87 a factor of 747383? False Does 1616 divide 8069992? False Is 453 a factor of 779613? True Is 40 a factor of 190240? True Is 152664 a multiple of 29? False Does 15 divide 373176? False Is 5 a factor of 63210? True Does 15 divide 8077740? True Is 14 a factor of 4196530? False Is 15 a factor of 1585526? False Is 52 a factor of 1532487? False Is 271 a factor of 17073? True Is 336 a factor of 325584? True Is 22 a factor of 67672? True Does 33 divide 152196? True Does 83 divide 8595769? False Does 60 divide 74880? True Is 13516784 a multiple of 464? True Is 85751 a multiple of 56? False Is 348431 a multiple of 25? False Is 810 a factor of 3124980? True Is 22 a factor of 1233650? True Is 992456 a multiple of 131? True Is 1302 a factor of 934836? True Is 635510 a multiple of 206? True Is 4600575 a multiple of 8? False Is 257 a factor of 2986677? False Does 750 divide 1853452? False Does 915 divide 2282010? True Is 2381 a factor of 19362292? True Is 4555087 a multiple of 17? False Is 12 a factor of 375300? True Is 40 a factor of 152160? True Is 102 a factor of 658859? False Does 45 divide 11216948? False Is 154 a factor of 175868? True Does 236 divide 21922106? False Is 1581676 a multiple of 148? True Is 20 a factor of 1182960? True Is 95526 a multiple of 18? True Is 16 a factor of 5386736? True Is 112729 a multiple of 19? False Is 2481437 a multiple of 749? True Is 1415420 a multiple of 340? True Is 229347 a multiple of 13? False Is 1357118 a multiple of 434? True Does 389 divide 8062803? True Is 11065752 a multiple of 38? True Is 141094 a multiple of 10? False Does 609 divide 3798942? True Is 3289560 a multiple of 206? False Is 64 a factor of 227200? True Is 1004 a factor of 5318188? True Is 107 a factor of 1148752? True Is 121 a factor of 340355? False Is 917261 a multiple of 245? False Does 926 divide 26691950? True Does 21 divide 96883? False Is 42 a factor of 4022828? False Is 1961945 a multiple of 245? False Is 61 a factor of 990227? False Does 30 divide 218790? True Does 12 divide 316488? True Does 16 divide 294656? True Is 3023286 a multiple of 21? True Is 258 a factor of 3873612? True Is 34 a factor of 949222? False Is 497511 a multiple of 9? True Is 30059 a multiple of 46? False Is 32 a factor of 1457568? True Does 76 divide 31008? True Does 230 divide 153876? False Is 5115096 a multiple of 398? True Is 26 a factor of 43460? False Does 324 divide 2466046? False Is 35084 a multiple of 49? True Does 796 divide 11919304? True Is 133 a factor of 1235437? True Is 1539744 a multiple of 129? True Is 27 a factor of 535410? True Does 27 divide 67482? False Is 379050 a multiple of 57? True Is 344 a factor of 2061866? False Does 53 divide 471859? True Is 5 a factor of 12103411? False Is 369309 a multiple of 397? False Is 197728 a multiple of 178? False Is 31 a factor of 3485485? True Is 2634653 a multiple of 301? True Is 11890800 a multiple of 64? False Is 25 a factor of 10907915? False Is 12527058 a multiple of 41? True Is 208 a factor of 1390725? False Is 938 a factor of 1044517? False Is 440 a factor of 52360? True Does 1604 divide 9989712? True Does 8 divide 525008? True Is 172 a factor of 516? True Is 190 a factor of 839990? True Does 116 divide 348696? True Is 4150622 a multiple of 322? False Is 80 a factor of 2218300? False Is 193987 a multiple of 20? False Is 751640 a multiple of 344? True Is 157356 a multiple of 55? False Does 60 divide 10372? False Is 163 a factor of 512309? True Is 195875 a multiple of 154? False Is 1913041 a multiple of 5? False Is 136 a factor of 15947224? True Is 102 a factor of 1945312? False Is 2038476 a multiple of 22? True Is 441315 a multiple of 84? False Is 20 a factor of 21380? True Is 774830 a multiple of 97? False Is 4 a factor of 2362416? True Is 162 a factor of 2752048? False Is 7 a factor of 143052? True Does 3 divide 2805225? True Is 18 a factor of 4007718? True Is 5 a factor of 1004107? False Is 175604 a multiple of 44? True Is 3127842 a multiple of 54? True Does 103 divide 410137? False Does 1772 divide 10049012? True Is 51 a factor of 2538571? False Is 22 a factor of 6041? False Is 8 a factor of 703215? False Does 14 divide 3376516? False Does 4 divide 281569? False Does 172 divide 1020648? True Is 855 a factor of 2169762? False Does 79 divide 1563467? False Is 14 a factor of 778247? False Is 137536 a multiple of 114? False Is 74 a factor of 128345? False Does 5 divide 1578695? True Is 12 a factor of 631500? True Is 1238096 a multiple of 19? False Does 4 divide 702382? False Is 31 a factor of 1377851? False Is 4 a factor of 10298? False Does 50 divide 633136? False Is 56 a factor of 180096? True Does 312 divide 818064? True Is 41 a factor of 225295? True Is 130720 a multiple of 5? True Is 8 a factor of 212311? False Is 2216660 a multiple of 10? True Is 44 a factor of 222721? False Is 808228 a multiple of 254? True Is 190 a factor of 2706170? True Does 178 divide 9110040? True Does 125 divide 1125? True Is 260 a factor of 1604398? False Does 4 divide 23147? False Is 4 a factor of 18800? True Does 12 divide 223706? False Is 188813 a multiple of 13? False Is 4750680 a multiple of 110? True Does 35 divide 14576218? False Does 4 divide 64280? True Does 54 divide 799848? True Is 680 a factor of 916640? True Is 9731560 a multiple of 904? True Is 139242 a multiple of 153? False Does 82 divide 204264? False Does 277 divide 31471? False Does 48 divide 3071568? True Is 220 a factor of 10724340? True Is 30 a factor of 17760? True Is 20 a factor of 519880? True Does 160 divide 583358? False Does 16 divide 7168224? True Is 137274 a multiple of 4? False Is 189752 a multiple of 8? True Is 7691513 a multiple of 102? False Is 540 a factor of 2011751? False Does 2 divide 22778? True Is 7870 a multiple of 26? False Does 100 divide 1306727? False Is 84492 a multiple of 10? False Is 80 a factor of 2889600? True Is 115680 a multiple of 15? True Is 53 a factor of 102608? True Is 27 a factor of 3546126? True Is 20667 a multiple of 25? False Does 523 divide 137026? True Is 436247 a multiple of 203? True Does 29 divide 10714978? True Does 283 divide 1022196? True Does 273 divide 442260? True Is 15 a factor of 481440? True Is 94590 a multiple of 30? True Does 7 divide 482160? True Does 27 divide 249237? True Is 745190 a multiple of 5? True Does 499 divide 3627331? False Does 22 divide 1598696? True Is 5835 a multiple of 3? True Is 160 a factor of 75112? False Is 99 a factor of 79522? False Is 2910600 a multiple of 105? True Is 451 a factor of 984680? False Does 6 divide 930610? False Is 6762971 a multiple of 16? False Is 12 a factor of 211746? False Is 377 a factor of 137982? True Is 293664 a multiple of 8? True Is 6 a factor of 41268? True Does 119 divide 5756672? False Is 256 a factor of 175948? False Is 92 a factor of 43284? False Is 12801 a multiple of 24? False Is 21 a factor of 644464? False Is 320 a factor of 6595840? True Is 28 a factor of 1147844? False Is 3204468 a multiple of 54? True Is 930842 a multiple of 4? False Is 9236 a multiple of 4? True Does 10 divide 178919? False Is 1271917 a multiple of 14? False Does 61 divide 17590? False Is 25 a factor of 410560? False Is 2237 a factor of 10471302? False Does 31 divide 926156? True Is 107 a factor of 66109? False Does 97 divide 192014? False Is 305 a factor of 591090? True Is 1338280 a multiple of 5? True Does 4 divide 12436? True Is 124 a factor of 4419856? True Does 14 divide 1761935? False Does 293 divide 106066? True Is 128856 a multiple of 28? True Is 106 a factor of 1764261? False Does 151 divide 762782? False Is 904554 a multiple of 7? True Does 7 divide 3281999? True Does 12 divide 187056? True Is 832368 a multiple of 48? True Is 26 a factor of 438828? True Is 39 a factor of 499863? True Is 3253446 a multiple of 45? False Is 607 a factor of 4986915? False Is 11 a factor of 2222396? True Is 179238 a multiple of 34? False Is 1256024 a multiple of 390? False Is 2319111 a multiple of 27? True Is 31 a factor
{ "pile_set_name": "DM Mathematics" }