Datasets:
timaeus
/
pile-dm_mathematics

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stringlengths
270
8.19k
meta
dict
the terms in r**2 - 2*r**2 - 3*r**2 + r**2. -3*r**2 Collect the terms in -48*d + 57*d - 34*d. -25*d Collect the terms in -3*m**2 + 4 - 2*m**2 + m**2. -4*m**2 + 4 Collect the terms in -59 + 20 - 2*y**3 + 17 + 22. -2*y**3 Collect the terms in -10*x + 20 + 31 - 51. -10*x Collect the terms in 3*s - 40*s**2 - 3*s + 44*s**2. 4*s**2 Collect the terms in 7*m - 9 + 3*m - 5*m + 3. 5*m - 6 Collect the terms in -3*z + 2*z - z - 3*z. -5*z Collect the terms in 0*r - 10*r - 10*r + 4*r. -16*r Collect the terms in -24*v - 26*v + 21*v. -29*v Collect the terms in 21*p + 6*p + 3*p - 9*p. 21*p Collect the terms in 0*g - 4*g - 6*g - 4*g + 3*g. -11*g Collect the terms in 0 - 315*y**2 - 8 + 8. -315*y**2 Collect the terms in -1063*u + u**2 + 1063*u. u**2 Collect the terms in 32*n**2 + 35*n**2 + 2*n**3 - 66*n**2. 2*n**3 + n**2 Collect the terms in 154*g - 89*g - 69*g. -4*g Collect the terms in -13*x**2 + 19*x**2 - 3*x**2 + 23*x - 6*x**2. -3*x**2 + 23*x Collect the terms in -161*w + 161*w - 5*w**3 + 3*w**3 - w**3. -3*w**3 Collect the terms in 2 - 3*q**3 - 2 + 42*q**2. -3*q**3 + 42*q**2 Collect the terms in 12*d - 23*d + 34*d. 23*d Collect the terms in 6 - 17 + 9*i - 13 + 20. 9*i - 4 Collect the terms in 6 - 10 + 4 + 17*v**3. 17*v**3 Collect the terms in -2*u + 6*u + 3*u + u. 8*u Collect the terms in 0*n - 4 - 5*n + 4. -5*n Collect the terms in 109*u - 51*u - 58*u - 7*u**3. -7*u**3 Collect the terms in -35*m**2 + 67*m**2 - 7*m**3 + m - 32*m**2. -7*m**3 + m Collect the terms in 11 + 7 + 2 - 23*y - 18. -23*y + 2 Collect the terms in 3*n**2 - 4*n**2 - 2*n**2 + 5*n**2 - n**2. n**2 Collect the terms in 26*d**2 + 20*d**2 - 96*d**2 + 26*d**2 + 22*d**2. -2*d**2 Collect the terms in 14*x**2 - 27*x**2 + 13*x**2 - 4*x**3. -4*x**3 Collect the terms in -24*h**2 - 7*h + 8*h - h. -24*h**2 Collect the terms in 9*x**3 - 27 - 30 + 57. 9*x**3 Collect the terms in -10*g**2 + 31*g**2 - 20*g**2. g**2 Collect the terms in -b**2 - 2647*b**3 + 2*b**2 + 522*b**3. -2125*b**3 + b**2 Collect the terms in -3 - a**2 - 10 + 13. -a**2 Collect the terms in 92*w**2 + 97*w**2 - 180*w**2. 9*w**2 Collect the terms in 22*l**2 - 38*l**2 - 10*l**2. -26*l**2 Collect the terms in 6*o - 7*o - 2*o + o. -2*o Collect the terms in 2*r + 5*r + 2*r. 9*r Collect the terms in 3*s + 0*s - 6*s - 3*s. -6*s Collect the terms in -6*q + 5*q + 0*q + 5*q. 4*q Collect the terms in 13*a**3 + 27*a**3 - 11*a**3. 29*a**3 Collect the terms in 16 - 20*m - 16 - 16*m. -36*m Collect the terms in -2*x**3 - 386*x**2 + 773*x**2 - 387*x**2. -2*x**3 Collect the terms in -f + 360 - 360. -f Collect the terms in 13*x**3 - 21*x**3 - 28*x**3. -36*x**3 Collect the terms in -222*d - 26*d**2 + 222*d. -26*d**2 Collect the terms in -47*r**3 - 11*r**3 + 10*r**3 - 25*r**3. -73*r**3 Collect the terms in 12*x**2 + 3*x**2 - 5*x**2. 10*x**2 Collect the terms in 18*y**2 + 22*y - 22*y. 18*y**2 Collect the terms in -24*t**2 - 4*t**2 + 15*t**2 + 16*t**2. 3*t**2 Collect the terms in -23*y - 9*y + 8*y. -24*y Collect the terms in -235*r + 15*r - 469*r. -689*r Collect the terms in 6 + 19*i**2 - 7*i**2 - 9. 12*i**2 - 3 Collect the terms in 1265*r**3 + 2 - 2. 1265*r**3 Collect the terms in -24 + 7*n - 4*n - n. 2*n - 24 Collect the terms in 156 - 77 + 71*y**2 - 79. 71*y**2 Collect the terms in -24*f**3 + 6*f**3 + 17*f**3. -f**3 Collect the terms in 4*p**2 + 12*p**2 - 16*p**2 + 20*p**3. 20*p**3 Collect the terms in -184*y**3 + 366*y**3 - 187*y**3. -5*y**3 Collect the terms in -33*z**3 - 38*z**3 - 7*z**3. -78*z**3 Collect the terms in -42*s + 19*s + 18*s. -5*s Collect the terms in 6*y + 2*y + 9*y + 4*y. 21*y Collect the terms in 3*x - 15 + x - 5*x + 4*x. 3*x - 15 Collect the terms in 0*f**2 - 6*f**2 + 0*f**2 + 0*f**2. -6*f**2 Collect the terms in -2*d**3 + 805*d**2 + 795*d**2 - 1600*d**2. -2*d**3 Collect the terms in -122*b - 126*b + 241*b. -7*b Collect the terms in 0 - 11*g + 5 - 5. -11*g Collect the terms in -9*l**3 - 4*l**3 + 10*l**3. -3*l**3 Collect the terms in 77*l**2 - 4*l + 3*l + 54*l**2 + 2*l. 131*l**2 + l Collect the terms in -6503*q + 2*q**3 - 7*q**3 + 6503*q + 3*q**3. -2*q**3 Collect the terms in -9*j - 11*j + 15*j. -5*j Collect the terms in 8 - 12*j - 2 - 6. -12*j Collect the terms in -6*m + 0*m + 6*m - 68*m**3. -68*m**3 Collect the terms in 12*o**3 + 40*o**3 - 197*o**3. -145*o**3 Collect the terms in -2*a**2 - 260*a**3 + 124*a**3 + 2*a**2 + 120*a**3. -16*a**3 Collect the terms in 29*t + 1 - 1. 29*t Collect the terms in -o + 10*o**2 - 17*o + 18*o. 10*o**2 Collect the terms in -12*w + 32*w + 24*w. 44*w Collect the terms in 403*g - 208*g - 195*g + 7*g**3. 7*g**3 Collect the terms in -153*r**2 + 28*r**3 + 153*r**2. 28*r**3 Collect the terms in 48 - 97*n**2 - 48. -97*n**2 Collect the terms in -2*l**2 + 310536*l - 155268*l - 155268*l. -2*l**2 Collect the terms in 6*x - 5*x - 3*x - 7*x. -9*x Collect the terms in -211*t**2 - 224*t**2 + 429*t**2. -6*t**2 Collect the terms in 213822*x + 10*x**3 - 213822*x. 10*x**3 Collect the terms in -7 - 18*q + 16*q + 7. -2*q Collect the terms in -117*a**3 - 140*a**3 + 229*a**3. -28*a**3 Collect the terms in 6481*b**2 - 3242*b**2 - 3234*b**2. 5*b**2 Collect the terms in 3*q**2 - 2*q**2 + 10*q**2. 11*q**2 Collect the terms in -1698*a + 12*a**2 + 1698*a. 12*a**2 Collect the terms in 7*f**3 + 3*f**3 - 4*f**3 - 5*f**3. f**3 Collect the terms in b - 2*b + 0*b. -b Collect the terms in 290*w**2 + 282*w**2 - 543*w**2. 29*w**2 Collect the terms in -81*t**3 + 451*t**3 + 261*t**3. 631*t**3 Collect the terms in -5*m + 95*m**2 - 2*m + 7*m. 95*m**2 Collect the terms in -19*s**2 + 60*s**2 - 14*s**2 - 17*s**2 - 8*s**2. 2*s**2 Collect the terms in -8*g**3 + 18*g**3 - 9*g**3 - 2*g**3. -g**3 Collect the terms in -62*u - 62*u + 124*u + 2*u**2. 2*u**2 Collect the terms in 15*w**2 - 8 - 4 + 3. 15*w**2 - 9 Collect the terms in 33*x**2 - 37*x**2 + 28*x**2. 24*x**2 Collect the terms in 507*o - 4*o**2 - 507*o. -4*o**2 Collect the terms in -40*h**2 + 76*h**2 - 43*h**2. -7*h**2 Collect the terms in -17*a + 9*a - 8*a. -16*a Collect the terms in -39*y**2 + 72*y**2 - 31*y**2 - 19*y**2. -17*y**2 Collect the terms in -30*y - 8*y**2 + 30*y + 6*y**2. -2*y**2 Collect the terms in -b**3 + 15296*b - 15296*b. -b**3 Collect the terms in 0*r + 0*r + 25*r**3 - 42*r**3. -17*r**3 Collect the terms in 108 - 108 + 6*o**2. 6*o**2 Collect the terms in -2 + 48*t - 84*t + 71*t + 0. 35*t - 2 Collect the terms in -2*x**3 + 396 - 396. -2*x**3 Collect the terms in 184*d**2 + 182*d**2 - 368*d**2. -2*d**2 Collect the terms in -163*s**2 + 329*s**2 - 168*s**2. -2*s**2 Collect the terms in 4*b**2 + 432 - 432. 4*b**2 Collect the terms in 11*l + 19*l - 39*l. -9*l Collect the terms in -8*x**3 - 9*x + 22*x - 13*x. -8*x**3 Collect the terms in 2*a**2 - 88 + 88 + 9*a**2 - 10*a**2. a**2 Collect the terms in -49*l - 52*l + 101*l + 4*l**3. 4*l**3 Collect the terms in -4*g**2 + g**2 - 9*g - 12*g. -3*g**2 - 21*g Collect the terms in -1348 + 1348 - 2*o. -2*o Collect the terms in 47*d**3 + 38*d**3 - 115*d**3 + 45*d**3. 15*d**3 Collect the terms in 52*l**3 + 51*l**3 + 51*l**3 - 150*l**3. 4*l**3 Collect the terms in -36*m - 31*m + 4*m**2 + 67*m. 4*m**2 Collect the terms in -13*f**2 - 6 - 6 + 21*f**2 + 12. 8*f**2 Collect the terms in -8415*b - 5*b**2 + 8415*b + 6*b**2. b**2 Collect the terms in -3*v**3 - 9*v**3 - 14*v**3. -26*v**3 Collect the terms in -2 - 15*u**2 + 3 + 5 - 7. -15*u**2 - 1 Collect the terms in -3*q + 4*q + 4*q**3 - q. 4*q**3 Collect the terms in -18 - 18 + 5*d**2 + 36. 5*d**2 Collect the terms in 7*x**2 + 1 + 2 - 3. 7*x**2 Collect the terms in -21*o**3 - 3*o**3 + 30*o**3. 6*o**3 Collect the terms in 11 + p**3 + p**3 + p**3. 3*p**3 + 11 Collect the terms in 229 - 229 - 2*m**3 + 98*m. -2*m**3 + 98*m Collect the terms in 13*z - 1531*z**3 - 25*z + 1529*z**3 + 12*z. -2*z**3 Collect the terms in -4 + 31*s**3 + 39*s**3 - 68*s**3 + 4. 2*s**3 Collect the terms in -n**2 + 69*n - 22*n + n**2 + n**2. n**2 + 47*n Collect the terms in 3*a + 2 + 0 + 7*a + 13*a. 23*a + 2 Collect the terms in -9*t - 9 + 9. -9*t Collect the terms in 2*c - 140*c**3 + 2*c - 594*c**3 - 6*c. -734*c**3 - 2*c Collect the terms in 69 - 69 - 13*h - 11*h. -24*h Collect the terms in 34*m**2 - 13*m**2 - 2 + 2. 21*m**2 Collect the terms in -15*w**3 - 11 + 11. -15*w**3 Collect the terms in -365*h**3 + 724*h**3 - 361*h**3. -2*h**3 C
{ "pile_set_name": "DM Mathematics" }
*j)/(j*j*j**(-6/7)*j*j))**(1/11)/(j**0/j**7)**(-23) assuming j is positive. j**(-12426/77) Simplify (j**(-1)*j)**(-4/5)/(j**2*j**(3/10)/j)*((j**1)**(-7))**(-16) assuming j is positive. j**(1107/10) Simplify (z**(2/7)*z)/z*z**(-4/9)*(z*z**(2/7))**(6/17)*((z/(z*z*z**3*z*z))**20)**(-13) assuming z is positive. z**(1671076/1071) Simplify (j/(j/j**(1/3)*j)*j**(-3/8))**(-40)*((j/j**(-1/2))**(-40))**(-1/24) assuming j is positive. j**(265/6) Simplify (m/m**(-1/10)*(m*m/m**(-2))/m*m**13*((m*m**(-14)/m*m)/m)/m)**(-1/6) assuming m is positive. m**(-7/20) Simplify (((g*g*g**(2/11))/g)**(1/73)*(g**2/g)**(-32))**49 assuming g is positive. g**(-1258467/803) Simplify (o**(-7)*o/(((o/o**1)/o)/o))**36*((o**6*o)/o**1)/(o**(2/3))**(-15) assuming o is positive. o**(-128) Simplify ((i/(i*i*i**(-1)/i*i)*i)**(-16))**43/(i*i/i**(2/13)*i*i*i**(-4)*((i/(i/((i/(i*i/i**(-1)*i*i))/i)))/i)/(i*i**(1/4)*i*i)) assuming i is positive. i**(-35287/52) Simplify ((g**1*g**(2/5))/(g**3/g)**(-40))**(-9) assuming g is positive. g**(-3663/5) Simplify (z**(-7)*z*z*z**(-2/27)*z**(-8)/z*z**(-2/11)/z)/((((z*z/z**(-2/3))/z)/z**(2/27))/((z*z*z*z**(2/7)/z)/z)**22) assuming z is positive. z**(2642/231) Simplify ((l/(l/(l*l**(2/5))))/(l*(l**(5/4)/l)/l))**(-40)*((((l/l**(-2/7))/l)/l)/((l*l*l*l*l*l**(-2/23)*l*l)/l))/(l*l**(2/3)*l)**3 assuming l is positive. l**(-9761/161) Simplify (f**0/(f**8/f)*((f*f*f/f**6)/f)/f**(-2/7))/(f/f**(-8)*((f/f**2)/f*f)/f*f*f**(-1)*(f**(2/5)/f)/f) assuming f is positive. f**(-564/35) Simplify (y/(y/y**(-5))*y*y*y**2*y*y)/(((y*(y/(y**(2/7)*y))/y)/y)/y**(2/3))*((y/(y**(5/2)*y))/((y**(-5/2)/y)/y))**(1/5) assuming y is positive. y**(352/105) Simplify ((x/(x*x**(2/9)))**35*x**(-5)/x**(-7/3))/((((x*x/(x/(x**(1/2)/x)))/x)/x*x)**(9/7)*((x*x**(-1/8))/x)/x**(2/5)) assuming x is positive. x**(-23377/2520) Simplify (y**(1/3)*y**(-4)/y)/(y**(-2/3))**(1/46)*(y**(1/6)/((y/(y*y/y**(-2/5)))/y*y*y))/(y**0)**(2/13) assuming y is positive. y**(-2819/690) Simplify d**(-2/5)*d**(-4)*(d/(d/d**(-5/6)))/d**1*((d**4)**(1/17))**(-18/7) assuming d is positive. d**(-24413/3570) Simplify (z**3*z/z**(-1/13))/(z**5*z*z*z*z/z**(3/10))*(z/z**(2/9))/z*z/((z/((((z*z**(-4/5)/z)/z)/z)/z))/z)*(z**(-2/3)*z)**49 assuming z is positive. z**(2033/234) Simplify (n**(-7)/(n/n**(-1/7))*(n**(-4)/n)**(-8))**(-2/27) assuming n is positive. n**(-446/189) Simplify (p**(-5)*(p/p**(-8))/p)**(-11)/(p**1*p**(2/5)*(p*p**(-2/19))/((p/(p*p*p**(7/2))*p)/p)) assuming p is positive. p**(-7561/190) Simplify ((((n/n**16)/n)/n**(-3))/(n*(n/(n**(-3/7)/n))/n)**(-5/7))**(-2/73) assuming n is positive. n**(1104/3577) Simplify ((y*y**(-2/9))**(-25)*y**8/y**(2/25))/((y**0/(y*y*y*y**8*y))/((y/(y/(y**(-2)*y)))/y**2)) assuming y is positive. y**(-568/225) Simplify (((l**(2/13)*l)/l)/((l*l**2)/l)*(l*l**(-1/2)*l*l)/(l*l/(l*l**6*l)*l*l*l))/(l*(l/(l*l*l**7/l*l*l))/l*l**7*l*l**3*l**(5/3)*l*l) assuming l is positive. l**(-157/78) Simplify (((((u*u*u**(-17))/u)/u*u)/u**(-17))/(u**(-3))**5)**(-43) assuming u is positive. u**(-688) Simplify (((((m*m**(-18)/m)/m)/m)/(m*m/(m**4/m)))/(m/(m**(-32)*m)*m*(m**(1/10)/m)/m*m))**25 assuming m is positive. m**(-2555/2) Simplify ((p**(-1))**35*p**22*p/(p/p**(13/4)))**11 assuming p is positive. p**(-429/4) Simplify (((v/v**(-1/3))/v)**(2/51)/(v**(-2)*v**0))/((v**(-1))**(-36))**20 assuming v is positive. v**(-109852/153) Simplify (v**(2/15)*v/(v/(v/v**(-6)))*v**(3/5)*v/v**(1/3))/((v*v/((v**(-5)/v)/v))/v*v/v**(4/7)*v*(v*v*v**(1/3))**(24/11)) assuming v is positive. v**(-2356/385) Simplify ((r*r*r**7*r)/(r/(((r/(r/r**(-5)))/r)/r)))/((r/(r**(-1)*r))/r)**48*(r*r*r*r*r*r/((r*r/(r**(-1/2)*r)*r)/r))**46/(r/(r*r**0))**35 assuming r is positive. r**209 Simplify (g**(1/89)/(g**(-16)*g)*(g*g**(-4))**(-3))**(2/45) assuming g is positive. g**(4274/4005) Simplify (((s**(-5/2))**(1/74))**14)**(-2) assuming s is positive. s**(35/37) Simplify (k/(k**(1/2)*k))**(-1/7)/((k/(k**6/k)*k)/k**6)*(k*k*k**6*k*k*k**2/k)**(7/4) assuming k is positive. k**(793/28) Simplify (r**(6/5)/r**(1/35))/((r/(r*(r/r**9)/r))/r**(3/2)) assuming r is positive. r**(-443/70) Simplify q**(2/3)/q*(q/(q*q**(-39)*q*q))/q*q**5/q*q**(-8/7)/q assuming q is positive. q**(788/21) Simplify ((j**(2/5)*j*j)/((j/(j*j**(2/9)))/j)*(j**1*j)**46)/(((j*j**(-1/2))/j*j**6)/(j/(j*j**(-1)))**30) assuming j is positive. j**(10811/90) Simplify (((x**1*x)**19*(x*x*x/x**(-7))/x*x/(x*x*x/(x/(x/x**5))*x))**25)**1 assuming x is positive. x**1225 Simplify ((b**(-12/13)/b)/b**14)/(b/((b*b*b*(b*b*b**(19/2))/b)/b))**(-1/15) assuming b is positive. b**(-6509/390) Simplify ((s*s*s**(-2)*s)/(s**(1/2)*s))/((s/(s*s/((s*s*s*s*s*s*s*s**(-1/10))/s)))/s**6)*((s**(-1/13)/s*s)/(s*(s/s**(-3/8)*s)/s))**(-1/3) assuming s is positive. s**(737/520) Simplify (v**23*(v*v*v*v**(-2/13))/v*(v/(v**(2/55)/v))/((v/(v/(v*v**26)*v))/v))**(-2/35) assuming v is positive. v**(-2588/25025) Simplify ((m**1/m*m)**13*(m*m**4)/m**(1/4))/(m**(1/3)*m*m**1/m*m**(2/15)*m/m**(-4)) assuming m is positive. m**(677/60) Simplify ((s**(-10)*s)/(s*s**(-11)))**12/(((((s/s**(4/7))/s)/s*s*s)/s)/s**(-8)*(s*(s**6/s)/s*s)/s**(1/2)) assuming s is positive. s**(-13/14) Simplify (f**(-6/11)*(f*f*f*f**(2/17)/f)/f*f**(2/11)/(f**(-20)*f))**(-47) assuming f is positive. f**(-173618/187) Simplify ((c**(-1)/c)**(4/5)/((c/(c*c**0))/c**(-9)))**(-1/56) assuming c is positive. c**(53/280) Simplify (((y/y**(-3/7))/y)**(3/5)/(y/y**(-4)*y/(y*y*y**(-1/6)*y)))**40 assuming y is positive. y**(-2444/21) Simplify ((((w/(w*w*w**(-1/12)*w))/w)/(w/w**3))/(w**(-3)*w)**(-8/9))**34 assuming w is positive. w**(-1649/18) Simplify ((((p*p*p**(1/2))**6)**(-3/16))**32)**(-3/4) assuming p is positive. p**(135/2) Simplify (((t**0)**(2/19)*(t*t*t**(2/5)*t)**(-3/4))**(-4/13))**(6/11) assuming t is positive. t**(306/715) Simplify (u**(-3/14)*u*u*u**9/u*u*(u**4)**(-29/4))**(-7/4) assuming u is positive. u**(255/8) Simplify h**(-8/13)*h*h**(-4)*h*h/((h/((h**(-5/6)*h*h)/h))/h)*h*(h*h*h**(-34))/h*h*h*h assuming h is positive. h**(-2375/78) Simplify (((z*(((z/(z**(-1/3)/z))/z)/z)/z*z*z)/z**(-1/3)*z**(-3/13)*(z*z**(1/11)*z*z)/z)**22)**(-14) assuming z is positive. z**(-54376/39) Simplify ((b**3*b)**(-3/10))**(-1/50)/(b**(-1/3)*b**(-9)*(b/b**(-9)*b)/b**9) assuming b is positive. b**(2759/375) Simplify ((x**(-5/6)/x**(-4)*x**(-6)/(x*((x*x/((x*x**3*x)/x*x))/x)/x))**(-1/33))**(-35) assuming x is positive. x**(245/198) Simplify ((n*n**(-3))/((n*n*n/(n**(-1)/n)*n)/n))**38*(n/(n**(-3/4)/n))/n**2*(n*(n/n**(-3/5))/n)/(n**4*n) assuming n is positive. n**(-5373/20) Simplify (q**(-10)*q**2)**28/(((q*q**(2/3))/q)**(2/71))**45 assuming q is positive. q**(-15964/71) Simplify ((c*(c/c**(2/23))/c*c)/c**(-1/18))/(c**(3/11)/c**(-3/4))*c**9*(c/(c*c**(3/7)/c))/c*(c**(-1/7)*c)/c**(3/5) assuming c is positive. c**(3115897/318780) Simplify ((x/((x/(x/x**(1/2)))/x))**(11/2))**(1/35)*((x/((x**(2/5)*x)/x)*x)**(-34))**38 assuming x is positive. x**(-57875/28) Simplify ((p/(p*(p**(-1/3)/p)/p*p))**(1/15))**27/((((p/p**0)/p)/p)**40/((p**7/p*p)/(p/(p**7/p)))) assuming p is positive. p**(272/5) Simplify (l**(-2/11)/(l**(-3)*l))/(l/(l/(l*l**(-1/2))))**(-28)*(l**(-1)/(l*l**(1/3)*l*l))**(-19) assuming l is positive. l**(3239/33) Simplify (((n**5/(n*(n**(-1)/n)/n))/(((n**(1/8)/n)/n)/(n*n**(2/3)*n)))**(-45))**(1/3) assuming n is positive. n**(-1385/8) Simplify ((k*k/k**3)/k**(2/17))**(-50)/(((k**2*k)/k)/k**(-5))**(-21/5) assuming k is positive. k**(7249/85) Simplify (((((j/(j**(-1/4)/j))/j*j)/(j/(j*j*j/j**(-4/5))))/(j**9/(j*j/j**(-11)*j)))**(2/5))**48 assuming j is positive. j**(4824/25) Simplify (((v/v**3)/v*(v*v**1/v*v)/v*v)/(((v/v**(-2/17))/v)/v*v**(-1)/v))/(v**(-2)/v*(v*v**(2/3)/v)/v*v*v*v*v**4*v*v*v/(v/(v**6/v)*v)) assuming v is positive. v**(-397/51) Simplify ((l**(-19)*l)**42*l**(2/5)*l*l**(-4/15))**(1/5) assuming l is positive. l**(-11323/75) Simplify ((c/(c**7/c*c))/((c/c**(2/3))/c))/(c**4/c*c**(-4/9))*(c*c*c**(-1/4)*c)/c**0*c*c*c**6*c**(2/9) assuming c is positive. c**(37/12) Simplify (((((l/l**(-2))/l)/l)/l)**(-2/55))**(-16)/((l/(l*l**(-4/7)))/l**9*((l/(l/(l/l**(-1/6))))/l)/(l*l**7)) assuming l is positive. l**(683/42) Simplify ((c/(c*c*c*c**(-1/4))*c*c)/c*c*c**(2/103)*c**(1/11)*c*c*c*c/((((c*c**(-2/9)/c)/c*c)/c)/c)*c*c)**47 assuming c is positive. c**(16453055/40788) Simplify ((x/(x**29/x))**(-17/5)*
{ "pile_set_name": "DM Mathematics" }
nearest integer? 3 What is 691 to the power of 1/9, to the nearest integer? 2 What is the square root of 243 to the nearest integer? 16 What is 25095 to the power of 1/3, to the nearest integer? 29 What is the cube root of 1897 to the nearest integer? 12 What is the square root of 4402 to the nearest integer? 66 What is the square root of 301 to the nearest integer? 17 What is 69816 to the power of 1/3, to the nearest integer? 41 What is the cube root of 890 to the nearest integer? 10 What is 14539 to the power of 1/2, to the nearest integer? 121 What is the cube root of 103608 to the nearest integer? 47 What is 14571 to the power of 1/8, to the nearest integer? 3 What is the square root of 1010 to the nearest integer? 32 What is the square root of 1818 to the nearest integer? 43 What is the cube root of 817 to the nearest integer? 9 What is the square root of 11840 to the nearest integer? 109 What is the square root of 6332 to the nearest integer? 80 What is 29699 to the power of 1/2, to the nearest integer? 172 What is the cube root of 10179 to the nearest integer? 22 What is the seventh root of 7977 to the nearest integer? 4 What is 49058 to the power of 1/3, to the nearest integer? 37 What is the cube root of 437 to the nearest integer? 8 What is 3908 to the power of 1/2, to the nearest integer? 63 What is 6775 to the power of 1/10, to the nearest integer? 2 What is 504 to the power of 1/9, to the nearest integer? 2 What is 598 to the power of 1/3, to the nearest integer? 8 What is 7396 to the power of 1/3, to the nearest integer? 19 What is 3220 to the power of 1/2, to the nearest integer? 57 What is 966 to the power of 1/6, to the nearest integer? 3 What is 26297 to the power of 1/2, to the nearest integer? 162 What is the third root of 5894 to the nearest integer? 18 What is 19023 to the power of 1/6, to the nearest integer? 5 What is the cube root of 378 to the nearest integer? 7 What is the third root of 4907 to the nearest integer? 17 What is 8080 to the power of 1/10, to the nearest integer? 2 What is the cube root of 192057 to the nearest integer? 58 What is the square root of 154571 to the nearest integer? 393 What is 81139 to the power of 1/2, to the nearest integer? 285 What is 5007 to the power of 1/2, to the nearest integer? 71 What is 55488 to the power of 1/2, to the nearest integer? 236 What is 1573 to the power of 1/3, to the nearest integer? 12 What is the ninth root of 3142 to the nearest integer? 2 What is 28993 to the power of 1/3, to the nearest integer? 31 What is 2884 to the power of 1/2, to the nearest integer? 54 What is the third root of 64541 to the nearest integer? 40 What is 10098 to the power of 1/9, to the nearest integer? 3 What is 4734 to the power of 1/3, to the nearest integer? 17 What is the seventh root of 10144 to the nearest integer? 4 What is 1269 to the power of 1/5, to the nearest integer? 4 What is the ninth root of 6277 to the nearest integer? 3 What is the cube root of 4143 to the nearest integer? 16 What is the square root of 22832 to the nearest integer? 151 What is the tenth root of 5886 to the nearest integer? 2 What is 20196 to the power of 1/2, to the nearest integer? 142 What is the square root of 689 to the nearest integer? 26 What is the square root of 6238 to the nearest integer? 79 What is 1622 to the power of 1/3, to the nearest integer? 12 What is 14619 to the power of 1/3, to the nearest integer? 24 What is the fifth root of 858 to the nearest integer? 4 What is 39755 to the power of 1/6, to the nearest integer? 6 What is the square root of 8570 to the nearest integer? 93 What is 78086 to the power of 1/2, to the nearest integer? 279 What is the ninth root of 4543 to the nearest integer? 3 What is 8285 to the power of 1/7, to the nearest integer? 4 What is the square root of 3336 to the nearest integer? 58 What is 472 to the power of 1/2, to the nearest integer? 22 What is the square root of 8898 to the nearest integer? 94 What is the square root of 191 to the nearest integer? 14 What is the cube root of 2549 to the nearest integer? 14 What is the third root of 96845 to the nearest integer? 46 What is 60483 to the power of 1/3, to the nearest integer? 39 What is 903 to the power of 1/3, to the nearest integer? 10 What is the seventh root of 119 to the nearest integer? 2 What is the fifth root of 4884 to the nearest integer? 5 What is the square root of 1849 to the nearest integer? 43 What is the square root of 9417 to the nearest integer? 97 What is 19578 to the power of 1/10, to the nearest integer? 3 What is the cube root of 273 to the nearest integer? 6 What is the fourth root of 11210 to the nearest integer? 10 What is 89503 to the power of 1/5, to the nearest integer? 10 What is 2101 to the power of 1/10, to the nearest integer? 2 What is the eighth root of 4318 to the nearest integer? 3 What is the third root of 29161 to the nearest integer? 31 What is 2126 to the power of 1/3, to the nearest integer? 13 What is the third root of 4937 to the nearest integer? 17 What is 2819 to the power of 1/3, to the nearest integer? 14 What is the cube root of 1258 to the nearest integer? 11 What is the ninth root of 32320 to the nearest integer? 3 What is 12264 to the power of 1/2, to the nearest integer? 111 What is 650 to the power of 1/3, to the nearest integer? 9 What is the seventh root of 8558 to the nearest integer? 4 What is 8935 to the power of 1/2, to the nearest integer? 95 What is the cube root of 52538 to the nearest integer? 37 What is 10776 to the power of 1/4, to the nearest integer? 10 What is the square root of 45331 to the nearest integer? 213 What is the square root of 28942 to the nearest integer? 170 What is 9612 to the power of 1/6, to the nearest integer? 5 What is 4358 to the power of 1/3, to the nearest integer? 16 What is the fifth root of 49736 to the nearest integer? 9 What is the cube root of 25626 to the nearest integer? 29 What is the third root of 5919 to the nearest integer? 18 What is the seventh root of 859 to the nearest integer? 3 What is 10800 to the power of 1/10, to the nearest integer? 3 What is the eighth root of 10134 to the nearest integer? 3 What is the third root of 25675 to the nearest integer? 30 What is the third root of 16203 to the nearest integer? 25 What is 77386 to the power of 1/9, to the nearest integer? 3 What is 4451 to the power of 1/2, to the nearest integer? 67 What is 321 to the power of 1/2, to the nearest integer? 18 What is 8092 to the power of 1/2, to the nearest integer? 90 What is the sixth root of 2406 to the nearest integer? 4 What is the third root of 48282 to the nearest integer? 36 What is 3899 to the power of 1/6, to the nearest integer? 4 What is the sixth root of 61693 to the nearest integer? 6 What is the square root of 59890 to the nearest integer? 245 What is the ninth root of 11310 to the nearest integer? 3 What is the third root of 280 to the nearest integer? 7 What is 159 to the power of 1/3, to the nearest integer? 5 What is the fourth root of 3494 to the nearest integer? 8 What is the eighth root of 17633 to the nearest integer? 3 What is 2184 to the power of 1/2, to the nearest integer? 47 What is the cube root of 15128 to the nearest integer? 25 What is the third root of 121498 to the nearest integer? 50 What is 1850 to the power of 1/2, to the nearest integer? 43 What is 3266 to the power of 1/6, to the nearest integer? 4 What is the square root of 33670 to the nearest integer? 183 What is 2019 to the power of 1/2, to the nearest integer? 45 What is 2313 to the power of 1/3, to the nearest integer? 13 What is 1930 to the power of 1/2, to the nearest integer? 44 What is the square root of 6583 to the nearest integer? 81 What is 1691 to the power of 1/2, to the nearest integer? 41 What is 22483 to the power of 1/3, to the nearest integer? 28 What is the cube root of 1814 to the nearest integer? 12 What is the tenth root of 3490 to the nearest integer? 2 What is the third root of 1246 to the nearest integer? 11 What is the cube root of 35346 to the nearest integer? 33 What is the square root of 1300 to the nearest integer? 36 What is the third root of 4321 to the nearest integer? 16 What is 24469 to
{ "pile_set_name": "DM Mathematics" }
in -0.5, 3/22, 2, -1.241, -3, -1? -3 What is the biggest value in -4, 1/6, 2, 4, 17969? 17969 Which is the biggest value? (a) 2 (b) -13 (c) 1 (d) -3/7 (e) 0.91 (f) 2/15 a What is the biggest value in 132, 0.4, -0.04, -18, 2/13? 132 Which is the third smallest value? (a) -2 (b) 25/6 (c) -0.1 (d) 0.116 (e) -0.3 c What is the smallest value in 64, -0.95, 1, -4/17? -0.95 Which is the smallest value? (a) 67 (b) -1/6 (c) 14 (d) 0.4 b What is the third biggest value in -42, -5, 0.211? -42 What is the fourth smallest value in 106, 4, -0.4, 0.2, -37? 4 Which is the fifth biggest value? (a) 0 (b) -5 (c) 49 (d) 11/9 (e) 26 b Which is the fourth smallest value? (a) 0.7 (b) -4 (c) 0.5 (d) 96 (e) 1 e Which is the biggest value? (a) -0.2 (b) -3/8 (c) 13 (d) -386/3 (e) 5 c Which is the fourth smallest value? (a) -1.1 (b) -1/22 (c) -1/7 (d) -3/7 (e) 0.8 b Which is the second smallest value? (a) 325 (b) -13/31 (c) -0.5 b What is the biggest value in 1/61, -4.5, 5, -13? 5 What is the second smallest value in 2/5, 2, -0.256, -4? -0.256 What is the fifth smallest value in 9, -27, -2/3, -2/9, -0.2, 2.4? 2.4 What is the smallest value in -0.1, 13, 0.2, 7/2, 0.05, 0? -0.1 Which is the third biggest value? (a) 3/8 (b) -3/19 (c) -1 (d) -3.5 c What is the fourth biggest value in 1, 0.5, -166, -2.203, 2, -0.1? -0.1 What is the third smallest value in -2/9, 3, -3.8, 287, 4? 3 Which is the smallest value? (a) -5 (b) -60/29 (c) 45 (d) -4 a What is the second smallest value in 33, -1, 3/7, 4? 3/7 Which is the biggest value? (a) 0.12 (b) 73 (c) 1/2 (d) 3 b Which is the second smallest value? (a) -8 (b) 63 (c) -432 a What is the second biggest value in -16, -3/431, -1/11, 0.2, -2, -4? -3/431 What is the third smallest value in 163, 51, 2/17, -1/7? 51 What is the second smallest value in 1, -2/7, 6406? 1 What is the second smallest value in -24, -0.5, 2/7, 5, 0.08, -2/21? -0.5 What is the third smallest value in 0.3, 41, -4/5, -3/4, -4, 0.17? -3/4 What is the fourth smallest value in 0.02, 0.4, 0.5, 5, -0.33, -20? 0.4 Which is the second smallest value? (a) -0.5 (b) -2/9 (c) 178 (d) 1 (e) -2/5 (f) -1/4 e What is the fourth smallest value in -4, -14, -1, 526? 526 Which is the biggest value? (a) -56495 (b) 4 (c) -2/7 b What is the smallest value in 2/31, 6, -14, 0.4? -14 What is the second smallest value in -68, -2/11, 0.59? -2/11 Which is the third smallest value? (a) 3 (b) 114/47 (c) 7 c Which is the third smallest value? (a) -0.4 (b) 5 (c) 6/7 (d) 3/7 (e) 1/6 d What is the fourth biggest value in 35502, -0.5, -5, -4? -5 Which is the biggest value? (a) 0 (b) -739 (c) 2/5 (d) 0.5 (e) -0.4 d What is the fourth biggest value in 2/7, -2/7, 21, -2/47, -0.2, -5? -0.2 Which is the third smallest value? (a) 0.11 (b) -520 (c) 1 c Which is the third biggest value? (a) 1/4 (b) 13 (c) -5 (d) -2/5 (e) -0.443 (f) 1 a What is the second smallest value in -104, -13.574, 2/17? -13.574 What is the biggest value in -5898, -38/11, -4? -38/11 What is the second biggest value in 0.2, -0.399, -1.6? -0.399 What is the biggest value in 0.1, 7.3, -1/2, -1? 7.3 Which is the second smallest value? (a) -0.002 (b) 0.05 (c) 1/2 (d) -4 a What is the second biggest value in 0.3, 0.232, 442? 0.3 Which is the third smallest value? (a) 2/3 (b) 2/33 (c) -2.72 a Which is the second biggest value? (a) 5 (b) -1/5 (c) 1163.58 a Which is the second smallest value? (a) -1/2 (b) -0.3 (c) 2/35 (d) -1.3 a What is the smallest value in -6, -4, 4, 0.4, -673, 3? -673 What is the third biggest value in 3, 6/17, -2/5, -85/7, 5? 6/17 What is the fourth biggest value in 4, 8/5, 1, 0.4? 0.4 What is the second smallest value in -3/4, 4, 72, -0.3? -0.3 Which is the smallest value? (a) 1 (b) 0.5 (c) 3 (d) 0.1 (e) -17/2 (f) 0.3 e Which is the second biggest value? (a) -1 (b) 14 (c) -3/5 (d) 0 (e) 2 (f) -12/13 e Which is the fourth biggest value? (a) 28 (b) 4 (c) -4/9 (d) -1/7 (e) 0.02 (f) 0.4 e Which is the sixth smallest value? (a) -0.7 (b) 1/2 (c) -0.2 (d) 1.5 (e) -2/11 (f) 4 f What is the biggest value in 45, 54, -3/8? 54 Which is the second biggest value? (a) -0.1 (b) 17/5 (c) -1/5 (d) 2/1669 d Which is the second smallest value? (a) -2 (b) 46 (c) -5 (d) 3/2 (e) 16 a What is the third biggest value in 0.01, -2/21, 10/9701? -2/21 Which is the fourth smallest value? (a) -3/5 (b) -4 (c) 0.2 (d) -30 (e) 2/13 e What is the second biggest value in -0.3, -1, 14763? -0.3 Which is the smallest value? (a) 0.03326 (b) 8 (c) -4 c What is the fifth biggest value in 2, -10, -0.2, 3/5, 0.32013? -10 Which is the fourth biggest value? (a) 3 (b) 1048 (c) 2 (d) -14 d What is the fifth smallest value in 16, 5, 36, 1/4, -6/11, 8? 16 Which is the biggest value? (a) 10 (b) -0.027 (c) -14/3 a What is the third smallest value in -1, -217, 0.3, 9, -23? -1 What is the second smallest value in -70, -51, -2/5, 0? -51 Which is the third smallest value? (a) 1 (b) -2/5 (c) -4 (d) -2.1 (e) 20 b Which is the second smallest value? (a) 21 (b) 1280 (c) -5 a Which is the fifth biggest value? (a) 4/7 (b) 5 (c) -1 (d) -5 (e) -91.88 (f) 0.3 d Which is the second biggest value? (a) 9/8 (b) 4 (c) -2 (d) -2/5 (e) 108 (f) -0.1 b Which is the fourth smallest value? (a) 325/22 (b) 1 (c) 1/5 (d) 2 (e) -2/67 d Which is the third smallest value? (a) -74 (b) -53 (c) 3 (d) 2 (e) 2/11 e Which is the second smallest value? (a) -5 (b) -55.3 (c) 2 (d) 0.02 a What is the third smallest value in -5, 49, -1340? 49 What is the biggest value in 2, -1/2, 909, 0, -18, 2/3? 909 Which is the third biggest value? (a) -197 (b) -12 (c) -6 a What is the biggest value in -12, 23, 0.11, 6? 23 Which is the fourth smallest value? (a) 0.4 (b) 14 (c) -4 (d) 0.08 (e) -88 (f) 0.3 f What is the fifth biggest value in 1/4, 0.14, 2, 5, -73? -73 Which is the smallest value? (a) 0.5 (b) 103 (c) 5/3 a Which is the third smallest value? (a) -0.1162 (b) 4/43 (c) 0.5 (d) -0.07 b What is the second biggest value in 3, -5/3, 0.08, 3/2? 3/2 What is the second biggest value in -1/10, -1/2, -5, 0.23? -1/10 What is the biggest value in -0.1, -1, 2, 107, -0.5, -16? 107 Which is the second smallest value? (a) -2.2 (b) 5/2 (c) 1 (d) 0.8 (e) -2 e Which is the biggest value? (a) 0.1 (b) -0.4 (c) -2024 (d) -2/7 a What is the third smallest value in -29.781, 0.6, -4/5? 0.6 What is the third smallest value in 3/7, -0.4, -9/10, -21? -0.4 Which is the second biggest value? (a) -7 (b) -3 (c) -0.16 (d) 494/3 (e) 3 e Which is the third smallest value? (a) -70 (b) -0.1 (c) 22 (d) -12 (e) -0.5 e What is the third smallest value in 1, 86, 891? 891 What is the second smallest value in 2/69, 4, 2.5, 0.1? 0.1 What is the fourth biggest value in -0.11, -12, -160, -5? -160 What is the smallest value in -0.4, 2/11, 0.021, 21? -0.4 What is the biggest value in 2/39, 0, -0.1, 1, -8, 3? 3 Which is the second biggest value? (a) -1 (b) 1 (c) -42/11 a Which is the second smallest value? (a) -0.04 (b) 1/257 (c) 2/15 b What is the smallest value in -5, -7/48, 11? -5 Which is the third smallest value? (a) -6/11 (b) -7 (c) 2/551 c What is the second biggest value in -6/29, 1/5, 2.2? 1/5 Which is the biggest value? (a) -0.2 (b) 3 (c) 5 (d) -2/13 (e) 6.4 (f) -25 e What is the third biggest value in -2/15, -0.4, 10, -1245? -0.4 Which is the second smallest value? (a) 0.07 (b) 5 (c) -5 (d) 13 (e) -2 e What is the third biggest value in 24, 99, 3/8, -3/5? 3/8 What is the third smallest value in -2/9, 0.4, -104, 5, 36/7? 0.4 Which is the sixth biggest value? (a) -3 (b) -1 (c) 0.3 (d) -1/2 (e) 7 (f) 1 a Which is the second smallest value? (a) -2/3 (b) 0.5 (c) 2.17 (d) -2/7 d What is the fourth smallest value in 18, 0.5, -1/11, 2/23, 9? 9 Which is the biggest value? (a) 5/6 (b) 4 (c) -1/2237 b What is the smallest value in -29, 2/3, -3, 154? -29 What is the biggest value in 0.3, 0, 2, 4/5, -1/5? 2 What is the fourth biggest value in -1.5, -121, -6/7, -0.6? -121 What is the second smallest value in -17, -1, 0, -0.1, -57? -17 What is the biggest value in 23, -5, -1/6, -3/2, -17, 6/11? 23 Which is the fourth bigg
{ "pile_set_name": "DM Mathematics" }
lse Is 98237 a prime number? False Is 15107 prime? True Is 5003 a composite number? False Is 71777 a prime number? True Is 26807 a composite number? True Is 52919 composite? False Is 1367 a composite number? False Is 7991 a composite number? True Is 209903 a prime number? False Is 1322377 composite? True Is 604621 prime? False Is 1297 a composite number? False Is 130091 a composite number? True Is 2264549 a prime number? False Is 23509 prime? True Is 1147 composite? True Is 78753 composite? True Is 479 a prime number? True Is 9442 a composite number? True Is 501 a composite number? True Is 4417 composite? True Is 132631 a prime number? True Is 21418 composite? True Is 124633 a prime number? True Is 52223 a prime number? True Is 889 a composite number? True Is 38903 a composite number? False Is 288941 prime? False Is 90899 a composite number? True Is 29123 a prime number? True Is 18077 a prime number? True Is 7003 a composite number? True Is 549383 composite? True Is 13939 composite? True Is 314789 a prime number? False Is 2371 composite? False Is 13799 a prime number? True Is 57881 composite? False Is 283621 composite? True Is 48071 prime? False Is 211534 composite? True Is 1397 a prime number? False Is 14737 a prime number? True Is 17231 a prime number? True Is 1329317 prime? False Is 54437 a prime number? True Is 27901 composite? False Is 316735 composite? True Is 97231 a composite number? False Is 240083 a prime number? False Is 40561 prime? False Is 178531 prime? True Is 3265 composite? True Is 13309 composite? False Is 7061 composite? True Is 15893 composite? True Is 1283 a prime number? True Is 862423 composite? False Is 1931 a composite number? False Is 69821 a prime number? True Is 185429 prime? True Is 3891 a composite number? True Is 2047 composite? True Is 17497 prime? True Is 1456799 a composite number? False Is 316753 a prime number? True Is 12515 prime? False Is 39247 a prime number? False Is 32369 composite? False Is 278813 composite? False Is 40195 a composite number? True Is 171007 composite? False Is 53545 prime? False Is 16143 a composite number? True Is 90541 prime? False Is 346 a composite number? True Is 58039 a composite number? True Is 66841 a prime number? True Is 43481 composite? False Is 31495 prime? False Is 44049 prime? False Is 10133 a composite number? False Is 680039 prime? True Is 140497 a composite number? True Is 19697 composite? False Is 13701 prime? False Is 14206 a composite number? True Is 11962 prime? False Is 55 a prime number? False Is 21719 a prime number? False Is 22613 prime? True Is 5095 a prime number? False Is 7993 prime? True Is 1306493 a composite number? True Is 871 composite? True Is 13319 a composite number? True Is 887 a composite number? False Is 8023 prime? False Is 179591 composite? False Is 100823 composite? False Is 1959149 composite? False Is 47767 a composite number? True Is 10279 composite? True Is 171485 composite? True Is 1043 prime? False Is 269923 a composite number? False Is 109097 prime? True Is 3728447 a composite number? False Is 383821 a composite number? False Is 15389 prime? False Is 123143 a composite number? False Is 899 composite? True Is 9403 prime? True Is 126091 prime? False Is 3433 a composite number? False Is 17455 prime? False Is 8511 prime? False Is 1371719 a prime number? False Is 24571 prime? True Is 63737 composite? False Is 16301 prime? True Is 1224311 prime? False Is 36587 a composite number? False Is 8861 composite? False Is 8903 a prime number? False Is 275257 a prime number? False Is 374797 a composite number? False Is 28693 a composite number? True Is 20569 composite? True Is 35031 a composite number? True Is 3415021 composite? False Is 6319 composite? True Is 347237 prime? False Is 20467 prime? False Is 566 a composite number? True Is 3455 prime? False Is 237707 prime? True Is 1126 prime? False Is 6031 composite? True Is 162553 prime? True Is 15227 a prime number? True Is 142847 a prime number? False Is 225919 a composite number? False Is 550607 a composite number? False Is 71593 a composite number? False Is 5221 a prime number? False Is 209 a composite number? True Is 228941 a prime number? False Is 185083 a prime number? False Is 7369 composite? False Is 491 a composite number? False Is 1723595 a prime number? False Is 128689 composite? True Is 87083 a prime number? True Is 33227 a composite number? True Is 705473 a prime number? False Is 10973 a prime number? True Is 1337 composite? True Is 51259 a composite number? True Is 183629 a composite number? True Is 33403 a prime number? True Is 799 a composite number? True Is 315247 a prime number? True Is 79703 composite? True Is 31907 a composite number? False Is 1248529 composite? False Is 194 a composite number? True Is 42281 composite? False Is 13367 a prime number? True Is 2679097 a prime number? False Is 28983 prime? False Is 1403 prime? False Is 8654 a prime number? False Is 4049 a prime number? True Is 204089 a prime number? False Is 57578 a composite number? True Is 68933 prime? False Is 2077 composite? True Is 18499 composite? True Is 1068857 prime? True Is 30729 a prime number? False Is 147073 a prime number? True Is 9587 a composite number? False Is 34123 a prime number? True Is 87313 prime? True Is 462157 a composite number? True Is 261673 a prime number? True Is 53539 a composite number? True Is 335 a prime number? False Is 2811 prime? False Is 16597 a prime number? False Is 11698 composite? True Is 2777 a prime number? True Is 37321 composite? False Is 42541 a prime number? False Is 3281483 prime? True Is 13171 prime? True Is 10427 a composite number? False Is 742559 composite? False Is 7993 a prime number? True Is 110713 composite? True Is 184993 a composite number? False Is 99173 a composite number? False Is 165079 a prime number? True Is 1635355 a composite number? True Is 14113 prime? False Is 194003 a composite number? False Is 46738 prime? False Is 2051999 composite? False Is 348191 prime? True Is 3949 a composite number? True Is 28697 prime? True Is 3937 a prime number? False Is 2923 composite? True Is 145349 a composite number? False Is 25895 composite? True Is 8879 composite? True Is 96059 prime? True Is 42847 a prime number? False Is 233 a prime number? True Is 234197 prime? True Is 16127 a composite number? False Is 21851 prime? True Is 20737 prime? False Is 129317 composite? True Is 249706 a prime number? False Is 3127 a prime number? False Is 7817 a composite number? False Is 264713 prime? False Is 60641 a prime number? False Is 317 prime? True Is 1217759 a composite number? False Is 3299 composite? False Is 745 composite? True Is 522401 prime? False Is 55049 prime? True Is 422923 prime? True Is 384437 a composite number? False Is 7631 a prime number? False Is 3161209 prime? True Is 293857 composite? True Is 124045 a prime number? False Is 6047 a composite number? False Is 8603 composite? True Is 2053 composite? False Is 115487 a prime number? False Is 1735234 a composite number? True Is 6613 composite? True Is 4037 prime? False Is 2305 a prime number? False Is 119594 a prime number? False Is 434479 a prime number? True Is 120277 composite? False Is 2777 a composite number? False Is 15193 a composite number? False Is 9091 composite? False Is 3151 prime? False Is 24571 a composite number? False Is 146369 prime? True Is 112071 composite? True Is 4809883 a prime number? False Is 941102 composite? True Is 141601 a composite number? False Is 441403 prime? True Is 42691 composite? True Is 70177 a prime number? True Is 1621 a prime number? True Is 3691 a composite number? False Is 403129 a composite number? True Is 8297 composite? False Is 744197 composite? True Is 965882 composite? True Is 3722 a prime number? False Is 23663 a prime number? True Is 684055 a prime number? False Is 24499 prime? True Is 1657 a composite number? False Is 28277 a composite number? False Is 2296963 composite? False Is 1450613 prime? True Is 734993 prime? False Is 16309 a prime number? False Is 105071 a composite number? False Is 719 a prime number? True Is 24571 prime? True Is 116777 prime? False Is 15053 a composite number? False Is 594535 a prime number? False Is 295411 composite? False Is 713 a pri
{ "pile_set_name": "DM Mathematics" }
the nearest integer? 3 What is 21875832 to the power of 1/2, to the nearest integer? 4677 What is the fifth root of 11357151 to the nearest integer? 26 What is 620847 to the power of 1/6, to the nearest integer? 9 What is the cube root of 476380 to the nearest integer? 78 What is 29676149 to the power of 1/2, to the nearest integer? 5448 What is 97146 to the power of 1/9, to the nearest integer? 4 What is the cube root of 16341806 to the nearest integer? 254 What is the square root of 8665669 to the nearest integer? 2944 What is 7573647 to the power of 1/5, to the nearest integer? 24 What is the square root of 2050114 to the nearest integer? 1432 What is the square root of 96586 to the nearest integer? 311 What is the cube root of 2950897 to the nearest integer? 143 What is the seventh root of 14730002 to the nearest integer? 11 What is the square root of 3222353 to the nearest integer? 1795 What is 101212 to the power of 1/8, to the nearest integer? 4 What is 508210 to the power of 1/3, to the nearest integer? 80 What is the sixth root of 106157 to the nearest integer? 7 What is the square root of 6729 to the nearest integer? 82 What is 178261 to the power of 1/3, to the nearest integer? 56 What is 74939 to the power of 1/2, to the nearest integer? 274 What is the third root of 400884 to the nearest integer? 74 What is 345850 to the power of 1/8, to the nearest integer? 5 What is 1837811 to the power of 1/3, to the nearest integer? 122 What is 3322937 to the power of 1/6, to the nearest integer? 12 What is the cube root of 2004351 to the nearest integer? 126 What is 631116 to the power of 1/8, to the nearest integer? 5 What is the eighth root of 362492 to the nearest integer? 5 What is 9602271 to the power of 1/7, to the nearest integer? 10 What is the fourth root of 5826910 to the nearest integer? 49 What is the seventh root of 112661 to the nearest integer? 5 What is the square root of 504915 to the nearest integer? 711 What is the ninth root of 5141686 to the nearest integer? 6 What is the square root of 355969 to the nearest integer? 597 What is 7720665 to the power of 1/5, to the nearest integer? 24 What is 385692 to the power of 1/7, to the nearest integer? 6 What is 8170102 to the power of 1/2, to the nearest integer? 2858 What is 1720615 to the power of 1/2, to the nearest integer? 1312 What is 188799 to the power of 1/3, to the nearest integer? 57 What is the third root of 363512 to the nearest integer? 71 What is 65488 to the power of 1/2, to the nearest integer? 256 What is 1289663 to the power of 1/5, to the nearest integer? 17 What is the cube root of 30114709 to the nearest integer? 311 What is the square root of 1016284 to the nearest integer? 1008 What is the cube root of 77739 to the nearest integer? 43 What is 10965293 to the power of 1/2, to the nearest integer? 3311 What is 1176365 to the power of 1/7, to the nearest integer? 7 What is the ninth root of 4213030 to the nearest integer? 5 What is the seventh root of 3080884 to the nearest integer? 8 What is the cube root of 5180006 to the nearest integer? 173 What is 3390819 to the power of 1/6, to the nearest integer? 12 What is the third root of 1522578 to the nearest integer? 115 What is 538604 to the power of 1/10, to the nearest integer? 4 What is the seventh root of 10767708 to the nearest integer? 10 What is 39564 to the power of 1/2, to the nearest integer? 199 What is 19258553 to the power of 1/9, to the nearest integer? 6 What is the eighth root of 11080771 to the nearest integer? 8 What is 14109530 to the power of 1/10, to the nearest integer? 5 What is the ninth root of 6325690 to the nearest integer? 6 What is 13441990 to the power of 1/3, to the nearest integer? 238 What is 253567 to the power of 1/10, to the nearest integer? 3 What is 227167 to the power of 1/2, to the nearest integer? 477 What is the square root of 11127269 to the nearest integer? 3336 What is 25661712 to the power of 1/9, to the nearest integer? 7 What is the fifth root of 4236010 to the nearest integer? 21 What is 1101871 to the power of 1/2, to the nearest integer? 1050 What is the cube root of 918712 to the nearest integer? 97 What is 19692 to the power of 1/9, to the nearest integer? 3 What is 12940802 to the power of 1/2, to the nearest integer? 3597 What is 306031 to the power of 1/3, to the nearest integer? 67 What is the third root of 1442484 to the nearest integer? 113 What is 1854193 to the power of 1/3, to the nearest integer? 123 What is the third root of 2358348 to the nearest integer? 133 What is the third root of 4933056 to the nearest integer? 170 What is 13146 to the power of 1/4, to the nearest integer? 11 What is the cube root of 15288308 to the nearest integer? 248 What is the sixth root of 1607905 to the nearest integer? 11 What is the fourth root of 306609 to the nearest integer? 24 What is 1969588 to the power of 1/4, to the nearest integer? 37 What is 378913 to the power of 1/5, to the nearest integer? 13 What is the square root of 256870 to the nearest integer? 507 What is the square root of 118756 to the nearest integer? 345 What is the eighth root of 13115105 to the nearest integer? 8 What is 5761029 to the power of 1/9, to the nearest integer? 6 What is the eighth root of 42571743 to the nearest integer? 9 What is the cube root of 520880 to the nearest integer? 80 What is 269998 to the power of 1/3, to the nearest integer? 65 What is the cube root of 68702 to the nearest integer? 41 What is 155380 to the power of 1/9, to the nearest integer? 4 What is the square root of 274026 to the nearest integer? 523 What is 56941 to the power of 1/2, to the nearest integer? 239 What is the ninth root of 1508056 to the nearest integer? 5 What is the cube root of 1956 to the nearest integer? 13 What is the sixth root of 6169017 to the nearest integer? 14 What is the third root of 172310 to the nearest integer? 56 What is the tenth root of 10599933 to the nearest integer? 5 What is 1192979 to the power of 1/2, to the nearest integer? 1092 What is the third root of 656830 to the nearest integer? 87 What is 208719 to the power of 1/2, to the nearest integer? 457 What is 93944 to the power of 1/8, to the nearest integer? 4 What is 21927165 to the power of 1/10, to the nearest integer? 5 What is 895771 to the power of 1/2, to the nearest integer? 946 What is 417751 to the power of 1/2, to the nearest integer? 646 What is the square root of 633989 to the nearest integer? 796 What is 5084520 to the power of 1/3, to the nearest integer? 172 What is 462678 to the power of 1/2, to the nearest integer? 680 What is the square root of 470781 to the nearest integer? 686 What is 662225 to the power of 1/2, to the nearest integer? 814 What is 123606 to the power of 1/9, to the nearest integer? 4 What is 4761130 to the power of 1/2, to the nearest integer? 2182 What is the square root of 2087725 to the nearest integer? 1445 What is the third root of 3887387 to the nearest integer? 157 What is 326565 to the power of 1/2, to the nearest integer? 571 What is 863020 to the power of 1/5, to the nearest integer? 15 What is the eighth root of 27032697 to the nearest integer? 8 What is the third root of 1661789 to the nearest integer? 118 What is 394620 to the power of 1/10, to the nearest integer? 4 What is 143215 to the power of 1/3, to the nearest integer? 52 What is the sixth root of 33355 to the nearest integer? 6 What is the fourth root of 3487822 to the nearest integer? 43 What is the sixth root of 110171 to the nearest integer? 7 What is 898171 to the power of 1/2, to the nearest integer? 948 What is 68691 to the power of 1/7, to the nearest integer? 5 What is the square root of 5047998 to the nearest integer? 2247 What is 26379346 to the power of 1/4, to the nearest integer? 72 What is the square root of 1334008 to the nearest integer? 1155 What is the seventh root of 1131480 to the nearest integer? 7 What is 60571 to the power of 1/8, to the nearest integer? 4 What is 2166466 to the power of 1/4, to the nearest integer? 38 What is the square root of 493425 to the nearest integer? 702 What is 2467498 to the power of 1/5, to the nearest integer? 19 What is the ninth root of 25370253 to the
{ "pile_set_name": "DM Mathematics" }
= -0*z. What is the tens digit of ((-14)/(-6) + -2)*z? 1 Let v = 10 - 10. Suppose 3*x + 12 = v, 0*b + b - 2*x = 17. What is the units digit of b? 9 What is the units digit of (-102)/(-10) + (-10)/50? 0 Suppose 164 = 5*g - x + 51, -2*g + 36 = -5*x. Let c be 5 - ((-4 - (3 + -6)) + 2). Suppose -c*r = g - 107. What is the units digit of r? 1 Let l(h) = -h**2 + 13*h - 12. What is the units digit of l(9)? 4 Let u = 4 + -2. Let n(j) = 4*j - j**3 + 33*j**u + 2*j**3 - 39*j**2 - 6 + 0*j. What is the units digit of n(6)? 8 Suppose 0 = 139*q - 140*q + 363. What is the hundreds digit of q? 3 Suppose -3*s = -h - 251, s + 3*s - 333 = h. What is the units digit of s? 2 Let a = 12 - 28. Let f be 0 + 3*-2 + 0. Let x = f - a. What is the tens digit of x? 1 Let f(j) = 5*j**3 - 4*j**2 + 3*j + 2. What is the tens digit of f(2)? 3 Let a be (-1)/((5/9)/(-5)). Suppose 2*n = -5*f - 0*f + 29, 0 = 5*n + f - 15. Suppose -a = -n*z + 7. What is the units digit of z? 8 Let h = -12 - -14. Suppose -5*x + 142 = u, -5*u = h*x - 0*u - 66. What is the tens digit of x? 2 Suppose 2*y - 73 = -5*p + 4*p, 5*p - 53 = -2*y. What is the tens digit of y? 3 Let i be (-3)/2*12/(-9). Suppose -i*h + 4 = -0. Let s = 7 - h. What is the units digit of s? 5 Suppose -i + 329 = 4*b, -7*i + 3*i - b + 1331 = 0. What is the units digit of i? 3 Let k(l) = 11*l - 1. Let s be k(1). Let d = s + -5. Let y = d + -4. What is the units digit of y? 1 Suppose -4*g - r - 2 + 1 = 0, 4*g = -2*r - 6. Let h be 4 - -2*(-2 + g). Suppose -2*s + 10 = -0*k + h*k, 5*k = 5*s - 5. What is the units digit of s? 3 What is the tens digit of -14*(-4 - 10/4)? 9 Let m(p) = -p - 1. Let b be m(-5). Suppose -3*h - b*g + 78 = -g, -g + 74 = 3*h. What is the units digit of h? 4 Suppose h + h = 18. Let l(v) = v**2 - 2*v + 2. Let c be l(2). Suppose c*r - h = -r. What is the units digit of r? 3 Let o = -17 - -10. Let u be 0 + 0 + o + -3. Let q = u + 25. What is the units digit of q? 5 What is the hundreds digit of -3*((-60)/108)/((-1)/(-147))? 2 Suppose 31 = 5*a + 11. Let y(n) = 6*n - 1. What is the units digit of y(a)? 3 What is the tens digit of -26*(-1)/((-2)/(-12 + -2))? 8 Suppose 4*j - 154 = 62. Suppose 0*n - 2*n = -j. What is the tens digit of n? 2 Let o = 506 + -198. What is the hundreds digit of o? 3 Suppose -z + 6 = 2, -z - 196 = -4*s. Suppose 29 = v - 2*d, -3*v + 2*d + 49 = -s. What is the tens digit of v? 3 Let b be (-6)/(-10)*30/(-6). Let l be (20/(-6))/((-1)/b). What is the units digit of 1/(-5) + (-22)/l? 2 Let y be 2*(6 - 3 - 2). What is the units digit of (y/(-6))/((-3)/9)? 1 Suppose -3*i + 33 = w, -3*i - 3 - 36 = -w. What is the units digit of w? 6 Let y be (-6)/(-24) + (-22)/(-8). Suppose 49 = y*i - 2. What is the units digit of i? 7 Suppose -2*n - 1 + 11 = 0. Suppose 5*u - 85 = 2*w + 3*w, 4*u + n*w = 95. What is the units digit of u? 0 Suppose 4*q - 33 = -h - 9, 2*q = 3*h - 2. Suppose 5*b = 5*w - 25, q*w + b - 37 = -0*w. What is the units digit of w? 7 Let w be -3*(-1)/3*2. Suppose 5*o - 2*h = 75, -w*o = -0*h - 5*h - 9. What is the tens digit of o? 1 Suppose 4*z = -z + 5. Suppose 0 = -r + 2*g - z, 3*r - 2 = 3*g - 2*g. What is the units digit of r? 1 Let z(n) be the second derivative of -n**3/6 + 2*n**2 - n. Let k be (2/(-1))/(-4)*0. What is the units digit of z(k)? 4 Let f be (-5)/1*12/(-5). Suppose -n + k = 5 - 3, 5*k - f = 4*n. What is the units digit of n? 2 Suppose -5*j + 169 = 44. What is the units digit of 445/j - (-2)/10? 8 Suppose -5*r + 19 = -4*o, 0 + 11 = 4*r + o. Let n(i) = i**2 + 1. What is the units digit of n(r)? 0 Let k = 22 + -10. What is the units digit of (-2)/(-3) - (-64)/k? 6 Suppose -3*n = -2*x - 2*x + 300, -4*x = n - 300. Suppose a - 4*q = -a + 72, 2*a = 5*q + x. What is the tens digit of a? 3 Let u(g) = -48*g + 4. Let t be u(-2). Suppose 0 = -4*o + 45 - 5. Suppose 3*l = l + o, 0 = -5*h - l + t. What is the tens digit of h? 1 What is the units digit of (-1)/2 + ((-988)/(-8) - -1)? 4 Suppose 0 = 2*y + 4*c - 78, 4*c = 4*y + c - 134. What is the units digit of y? 5 Suppose -y - y = 0. Suppose y*b = -2*b + 4. Suppose b*n + 1 = 3. What is the units digit of n? 1 Let d be ((-5)/4)/((-2)/8). Suppose -d*m - 5*v + 25 = 0, 4*m + 31 = v + 76. Suppose -5*x = -m - 10. What is the units digit of x? 4 Suppose 0*k = -3*k - 6. Let m = 2 - k. What is the units digit of m? 4 Let h be (-2 - -3)/((-1)/(-26)). Let f be ((-24)/9)/(-4)*3. Suppose -4*w + h = -f*w. What is the tens digit of w? 1 Let t(z) = -3*z - 12. Let g(q) = -q**2 + 6*q - 11. Let r be g(6). What is the units digit of t(r)? 1 Let k = -7 + 10. Let t be -1 + k - (1 + 0). Suppose -2*o = -t - 1. What is the units digit of o? 1 Suppose 0 = 4*k + 3*c - 9 + 2, 6 = 3*k + 2*c. Suppose 5*y - 65 = -5*p, -k = -p - 5. What is the tens digit of y? 1 Let u(w) = 16*w - 8. Let r(i) = 4*i - 2. Let z(k) = -22*r(k) + 6*u(k). What is the tens digit of z(3)? 2 What is the units digit of 3/(0 - (-2)/6)? 9 Suppose 5*p - 57 = 113. What is the units digit of p? 4 Let u be (-6 - (1 + -1)) + 1. Let q be (-4)/u*(-1 + 11). Suppose -r - q = -2*r. What is the units digit of r? 8 Let w(i) = 2*i - 4*i - i - 6. What is the tens digit of w(-6)? 1 Let v(w) = -3*w + 10. What is the units digit of v(-9)? 7 Let n = -93 - -232. What is the hundreds digit of n? 1 Let u(d) = -d**3 - 3*d**2 + 2. Let q be u(-3). Let z be 1/(q*(-1)/8). Let k(i) = -i**2 - 5*i + 1. What is the units digit of k(z)? 5 Let q(f) = f + 10. Let n be q(-5). Suppose -n*p = -0*p. Suppose p = 3*v - 8 - 13. What is the units digit of v? 7 Let s(m) = -m**2 - 7*m - 3. Let b be s(-6). What is the units digit of b + -2 + (0 - -3)? 4 Suppose -4*z + 20 = -4*t, 0 = -4*z + 2*z - 4*t - 8. Suppose -z*v + 3*y = -41, 4*v + 2*y + 46 = 6*v. What is the tens digit of v? 2 What is the units digit of -2 + 2 + 29 + 2? 1 Suppose 3*m + m = -28. Let a = -4 - m. What is the units digit of a? 3 Let w(t) = -t**3 + 8*t**2 - 3*t - 6. Suppose -5*u + 5*r = -50, 6 = 6*u - 3*u + 5*r. What is the units digit of w(u)? 2 Suppose 85 = 4*m + m. What is the units digit of m? 7 Let o(y) = y**3 - 5*y**2 - 2*y + 4. Let d be o(3). Let u be 1/(-3) - (-105)/(-9). Let p = u - d. What is the units digit of p? 8 Suppose 3*l - 34 = l. Suppose 0 = 5*n - 122 - 8. Let c = n - l. What is the units digit of c? 9 Let h(u) = -u**3 + 7*u**2 - 6*u + 7. Let j be ((-8)/(-7) + -2)*7. Let q(w) = w**3 + 7*w**2 + 4*w - 6. Let m be q(j). What is the units digit of h(m)? 7 Let w be ((-3)/9)/((-2)/6). What is the units digit of (1/w)/((-14)/(-56))? 4 Let j be (5 - 2)*(-2 + 3). Suppose y + 27 = -j*d + 4*y, -12 = 3*d + 2*y. Let o(f) = -f - 4. What is the units digit of o(d)? 2 Let r(o) = 1 + 5*o**2 - 6*o**2 - o + o**2 + o**3. What is the units digit of r(1)? 1 Let a(k) = k**3 + 8*k**2 + 6*k - 6. Let b be a(-5). Suppose -4*t + b = -t. What is the units digit of t? 3 Let k = -15 + 7. Let d = k + 4. Let u = 11 + d. What is the units digit of u? 7 Let b(c) = -15*c + 4. Let i = -3 + 0. Let z be b(i). Suppose 3*x - f - 42 = 0, -4*x + f + z = 2*f. What is the units digit of x? 3 Let u(c) = 3*c**3 - c**2 - 4*c + 3. Let z be u(2). Suppose -4*m = m - z. What is the units digit of m? 3 Suppose -5*m + 324 = -126. Let n be 4/10 + m/25. Suppose 3*b + n = 4*b. What is the units digit of b? 4 Let w(q) = q**2 + 9*q. Let d(y) = -y**2 + 5*y + 4. Let u be d(7). Let j be w(u). Suppose 5*z - j = 20. What is the units digit of z? 6 Suppose p - 2 = 0, -3*k + 8*k + 4*p - 13 = 0. Suppose 0 = d - 1 + 4. What is the units digit of 22/3 + k/d? 7 What is the tens digit of (-2)/9 - (-3663)/81? 4 Suppose -j = 2*r + 4 - 1, -3*j = -4*r - 11. What is the units digit of j + (1*-3)/(-3)? 2 Let t(l) = 78*l**3 - 3*l**2 + 2*l. What is the units digit of t(1)? 7 Suppose -3*a + 3*s - 8*s = -96, 0 = -a + 3*s + 46. What is the tens digit of a? 3 Let c(k) = -2*k + 29. What is the units digit of c(-14)? 7 Let t(i) = i**2 + i - 10. Let k be t(-8). Let o = 64 - k. Suppose 6 = 2*v, -4*q = 2*v - 48 - o. What is the units digit of q? 5 Let f = 123 + -77. What is the units digit of f? 6 Suppose 4*r - 3 = 5. Suppose -2*y + r = 4*b + 10, 4*b = -12. What is the units digit of y? 2 Let v be ((-1)/(-2) + -1)*0. Suppose -2*t + 30 + 56 = v. What is the tens digit of t? 4 Suppose -4*c + o - 3*o + 114 = 0, 0 = -5*c - o + 141. Let x be 10/(-15) - c/(-
{ "pile_set_name": "DM Mathematics" }
-379, -789, -1343, -2029, -2835, -3749, -4759? 2*u**3 - 90*u**2 + 2*u - 39 What is the q'th term of -5086, -20399, -45918, -81637, -127550, -183651, -249934, -326393? q**3 - 5109*q**2 + 7*q + 15 What is the r'th term of 35803, 71593, 107383, 143173, 178963, 214753? 35790*r + 13 What is the b'th term of 541531, 541528, 541525, 541522, 541519? -3*b + 541534 What is the t'th term of -113, -203, -265, -281, -233, -103, 127, 475? 3*t**3 - 4*t**2 - 99*t - 13 What is the v'th term of 63, 219, 553, 1155, 2115? 15*v**3 - v**2 + 54*v - 5 What is the m'th term of -60, -254, -590, -1080, -1736? -2*m**3 - 59*m**2 - 3*m + 4 What is the y'th term of 4242, 8485, 12732, 16983, 21238? 2*y**2 + 4237*y + 3 What is the s'th term of -766, -685, -604, -523, -442? 81*s - 847 What is the b'th term of 6, 88, 174, 264, 358, 456? 2*b**2 + 76*b - 72 What is the t'th term of 932169, 1864343, 2796517? 932174*t - 5 What is the p'th term of -10218, -10344, -10470, -10596, -10722, -10848? -126*p - 10092 What is the j'th term of 82, 107, 36, -179, -586, -1233, -2168? -8*j**3 + 81*j + 9 What is the b'th term of -1543, -1416, -1289? 127*b - 1670 What is the t'th term of 288, 2223, 7432, 17553, 34224, 59083, 93768? 273*t**3 - t**2 + 27*t - 11 What is the i'th term of -267, -918, -2679, -6102, -11739, -20142, -31863, -47454? -92*i**3 - 3*i**2 + 2*i - 174 What is the g'th term of -38728, -77464, -116202, -154942? -g**2 - 38733*g + 6 What is the o'th term of -485784, -485786, -485788, -485790? -2*o - 485782 What is the v'th term of -5403, -10594, -15797, -21018, -26263, -31538, -36849, -42202? -v**3 - 5184*v - 218 What is the w'th term of 7465, 14772, 22081, 29392? w**2 + 7304*w + 160 What is the k'th term of 884, 888, 910, 968, 1080? 3*k**3 - 9*k**2 + 10*k + 880 What is the a'th term of 1417, 2842, 4273, 5710? 3*a**2 + 1416*a - 2 What is the o'th term of 50124, 100235, 150344, 200451? -o**2 + 50114*o + 11 What is the m'th term of -6621, -13184, -19747? -6563*m - 58 What is the d'th term of -65254, -130510, -195766, -261022? -65256*d + 2 What is the w'th term of 5186, 20703, 46556, 82739, 129246? -w**3 + 5174*w**2 + 2*w + 11 What is the o'th term of 7369, 14735, 22101, 29467, 36833? 7366*o + 3 What is the z'th term of 85880, 85882, 85884, 85886, 85888, 85890? 2*z + 85878 What is the s'th term of -10962, -10964, -10966? -2*s - 10960 What is the l'th term of -82, 114, 452, 932, 1554, 2318? 71*l**2 - 17*l - 136 What is the u'th term of 1864, 1861, 1858, 1855, 1852, 1849? -3*u + 1867 What is the g'th term of 19892, 19896, 19898, 19898, 19896, 19892? -g**2 + 7*g + 19886 What is the v'th term of 34, 124, 294, 538, 850, 1224, 1654? -v**3 + 46*v**2 - 41*v + 30 What is the z'th term of 1528, 1417, 1292, 1147, 976, 773? -z**3 - z**2 - 101*z + 1631 What is the a'th term of 989, 1810, 2631, 3452, 4273? 821*a + 168 What is the l'th term of -172382, -689522, -1551422, -2758082? -172380*l**2 - 2 What is the i'th term of -4443, -3655, -2869, -2085, -1303, -523, 255? -i**2 + 791*i - 5233 What is the m'th term of -7242, -7162, -7028, -6840, -6598? 27*m**2 - m - 7268 What is the s'th term of -7712, -24235, -51766, -90299, -139828? s**3 - 5510*s**2 - 2203 What is the j'th term of 17782, 17798, 17814? 16*j + 17766 What is the u'th term of -4185, -4202, -4219, -4236? -17*u - 4168 What is the n'th term of 401, 491, 581, 671, 761? 90*n + 311 What is the s'th term of 1144689, 2289381, 3434073, 4578765, 5723457? 1144692*s - 3 What is the m'th term of 18657, 74636, 167933, 298548, 466481, 671732, 914301? 18659*m**2 + 2*m - 4 What is the c'th term of 1245, 4786, 10681, 18924, 29509, 42430, 57681? -c**3 + 1183*c**2 - c + 64 What is the k'th term of -1462, -1562, -1664, -1768, -1874, -1982? -k**2 - 97*k - 1364 What is the u'th term of -8602, -68771, -232090, -550135, -1074482, -1856707, -2948386, -4401095? -8596*u**3 + u**2 - 7 What is the m'th term of -2654, -2878, -3100, -3320, -3538, -3754, -3968? m**2 - 227*m - 2428 What is the u'th term of 23288, 23384, 23488, 23606, 23744, 23908, 24104, 24338? u**3 - 2*u**2 + 95*u + 23194 What is the o'th term of 10686, 42148, 94584, 167994, 262378, 377736? 10487*o**2 + o + 198 What is the q'th term of 599, 215, -425, -1321, -2473, -3881? -128*q**2 + 727 What is the l'th term of -6414, -12827, -19240, -25653, -32066? -6413*l - 1 What is the l'th term of 3085, 12296, 27647, 49138, 76769, 110540? 3070*l**2 + l + 14 What is the c'th term of 406059, 812120, 1218181, 1624242, 2030303? 406061*c - 2 What is the j'th term of -55215, -110431, -165645, -220857, -276067? j**2 - 55219*j + 3 What is the w'th term of 345582, 345583, 345584, 345585, 345586? w + 345581 What is the w'th term of 14806, 14802, 14798, 14794? -4*w + 14810 What is the w'th term of -59288, -59290, -59292, -59294, -59296, -59298? -2*w - 59286 What is the v'th term of -38, -251, -822, -1931, -3758, -6483? -30*v**3 + v**2 - 6*v - 3 What is the p'th term of 173, 422, 749, 1154, 1637, 2198? 39*p**2 + 132*p + 2 What is the y'th term of 1796, 3581, 5352, 7103, 8828, 10521, 12176, 13787? -y**3 - y**2 + 1795*y + 3 What is the a'th term of 116, 475, 1060, 1859, 2860, 4051, 5420? -2*a**3 + 125*a**2 - 2*a - 5 What is the m'th term of -2747, -2563, -2255, -1823, -1267, -587? 62*m**2 - 2*m - 2807 What is the k'th term of -12413, -49685, -111811, -198797, -310649, -447373, -608975? -k**3 - 12421*k**2 - 2*k + 11 What is the u'th term of -2479, -2536, -2605, -2686? -6*u**2 - 39*u - 2434 What is the p'th term of -245087, -245086, -245085, -245084, -245083? p - 245088 What is the r'th term of 2729, 2723, 2717, 2711, 2705? -6*r + 2735 What is the i'th term of -41, -183, -611, -1481, -2949, -5171, -8303, -12501? -26*i**3 + 13*i**2 + i - 29 What is the z'th term of 318, 314, 302, 276, 230, 158, 54? -z**3 + 2*z**2 - 3*z + 320 What is the g'th term of -643, -637, -631, -625, -619? 6*g - 649 What is the z'th term of -31, -62, -107, -172, -263, -386? -z**3 - z**2 - 21*z - 8 What is the k'th term of -7178, -14336, -21490, -28640, -35786? 2*k**2 - 7164*k - 16 What is the b'th term of 20, 16, -14, -70, -152? -13*b**2 + 35*b - 2 What is the b'th term of 64, 142, 250, 388, 556, 754, 982? 15*b**2 + 33*b + 16 What is the k'th term of 458676, 458678, 458682, 458688, 458696, 458706, 458718? k**2 - k + 458676 What is the l'th term of -127493, -127486, -127465, -127424, -127357, -127258, -127121, -126940? l**3 + l**2 - 3*l - 127492 What is the x'th term of -116, -285, -570, -1031, -1728, -2721? -10*x**3 + 2*x**2 - 105*x - 3 What is the c'th term of 545909, 545911, 545913? 2*c + 545907 What is the q'th term of -9027, -9009, -8991? 18*q - 9045 What is the j'th term of 476552, 953107, 1429662, 1906217, 2382772? 476555*j - 3 What is the q'th term of 9, 57, 213, 561, 1185, 2169, 3597? 14*q**3 - 30*q**2 + 40*q - 15 What is the t'th term of -9529, -19030, -28533, -38038, -47545, -57054, -66565? -t**2 - 9498*t - 30 What is the f'th term of -77, -528, -1749, -4124, -8037, -13872, -22013, -32844? -64*f**3 - f**2 - 12 What is the f'th term of -541, 955, 3449, 6941, 11431? 499*f**2 - f - 1039 What is the n'th term of 3555, 3027, 2499, 1971? -528*n + 4083 What is the f'th term of -209, -214, -265, -386, -601? -4*f**3 + f**2 + 20*f - 226 What is the u'th term of 424, 820, 1216, 1612, 2008? 396*u + 28 What is the s'th term of -219, -161, -77, 21, 121, 211, 279? -2*s**3 + 25*s**2 - 3*s - 239 What is the s'th term of 37267, 74575, 111883, 149191, 186499? 37308*s - 41 What is the d'th term of 6095, 6079, 6039, 5963, 5839? -2*d**3 - 2*d + 6099 What is the g'th term of -5355, -5347, -5331, -5307, -5275? 4*g**2 - 4*g - 5355 What is the f'th term of 464937, 464941, 464947, 464955, 464965, 464977, 464991? f**2 + f + 464935 What is the b'th term of 2803, 2731, 2671, 2629, 2611? b**3 - 79*b + 2881 What is the k'th term of -503, -511, -519? -8*k - 495 What is the w'th term of -817, -1721, -2625, -3529, -4433, -5337? -904*w + 87 What is the t'th term of 33314, 33318, 33320, 33320? -t**2 + 7*t + 33308 What is the l'th term of 357, 1448, 3281, 5868, 9221, 13352? 2*l**3 + 359*l**2 - 4 What is the t'th term of -19021, -19013, -19005, -18997? 8*t - 19029 What is the n'th term of -12219, -24426, -36633, -48840, -61047? -12207*n - 12 What is the t'th term of -12694, -25386, -38
{ "pile_set_name": "DM Mathematics" }
of a**4/4 + a**3 - a. Factor h(b). 3*b*(b + 2) Let h = 2 + 2. Let c(j) be the second derivative of -1/3*j**3 + 0 + 1/6*j**h + 0*j**2 + 2*j. Factor c(o). 2*o*(o - 1) Suppose -5*u = -26 - 24. Suppose 0 = 5*z + 3*n - 4*n - u, 2*z - 4 = -5*n. Find b such that 2*b - 3*b**4 - b**2 - 15*b**2 - 8*b - 12*b**3 + b**z = 0. -2, -1, 0 Let h(w) = -9*w**3 + 20*w**2 - 5*w. Let v(n) = 17*n**3 - 40*n**2 + 9*n - 1. Let o(l) = -15*h(l) - 6*v(l). Factor o(d). 3*(d - 1)**2*(11*d + 2) Let 0*s**4 + 0*s + 2/11*s**2 - 1/11*s**5 + 0 + 3/11*s**3 = 0. What is s? -1, 0, 2 Let u(r) be the first derivative of -r**3/6 + r/2 - 2. Suppose u(x) = 0. Calculate x. -1, 1 Solve 5/2*j**5 + 0 - 3*j**3 + 0*j**2 + 13/2*j**4 + 0*j = 0. -3, 0, 2/5 Let g(v) = -v**2 + 54*v + 174. Let w(y) = -15*y**2 + 755*y + 2435. Let a(n) = -85*g(n) + 6*w(n). Let a(t) = 0. What is t? -6 Let 0*s**3 + 0 + 2/3*s**4 - 2/3*s**2 + 0*s = 0. What is s? -1, 0, 1 Let v(j) = j + 1. Let o(a) = -5*a**4 - 10*a**3 - 15*a - 20. Let u(i) = -o(i) - 25*v(i). Factor u(x). 5*(x - 1)*(x + 1)**3 Let o(d) = -d - 9. Let k be o(-13). Let l be (-24)/(-9)*3 - k. Factor 0 + 1/4*i**2 - 1/4*i + 1/4*i**3 - 1/4*i**l. -i*(i - 1)**2*(i + 1)/4 Suppose -4*d + 0*d + 492 = 0. Let q = d + -365/3. Suppose -q - 8/3*c**3 + 6*c - 2*c**2 = 0. What is c? -2, 1/4, 1 Suppose -x - 4*a = 13, 4*x + 5*a = -x - 5. Solve 1 + 2*i**3 - x*i**3 + i - 2 - i**2 + 2 = 0 for i. -1, 1 Let q(w) = 5*w**4 - 9*w**3 + 6*w**2 - 2*w - 3. Let m(v) = 26*v**4 - 46*v**3 + 30*v**2 - 10*v - 16. Let g(a) = 3*m(a) - 16*q(a). Solve g(o) = 0 for o. 0, 1 Suppose 5*x = 4*n + 4, 0*n - 4*x + 1 = -n. Let d be (-2 + 2 + n)*-2. Factor -2 - 2*m**2 + 7*m + 0*m**2 + 6*m**d. (m + 2)*(4*m - 1) Let 33*m + 32*m + m**2 - 3 - 1 - 68*m = 0. What is m? -1, 4 Let b(r) = r**3 - 6*r**2 + 7*r - 4. Let w be b(5). Suppose 3*p = w*p. Solve 2/5*t**3 + 2*t**5 + p + 4/5*t**2 - 16/5*t**4 + 0*t = 0. -2/5, 0, 1 Let g(l) be the second derivative of -l**6/10 + 9*l**5/20 - 3*l**4/4 + l**3/2 + 9*l. What is z in g(z) = 0? 0, 1 Let d(v) be the second derivative of 0 + 2/3*v**3 + 2*v**2 - 3*v + 1/12*v**4. Factor d(a). (a + 2)**2 Let w(z) be the first derivative of z**6/1440 - z**5/480 + z**3/3 + 1. Let c(k) be the third derivative of w(k). Determine r, given that c(r) = 0. 0, 1 Find i such that -8/13*i**4 + 0 + 2*i**3 - 6/13*i**2 + 0*i = 0. 0, 1/4, 3 Find g such that 3/5*g**2 - 1/5*g**3 + 6/5*g - 8/5 = 0. -2, 1, 4 Suppose -4*b = b. Suppose 3*w = -1 + 7. Determine k, given that -4/7*k**3 + 2/7*k + b*k**4 + 0 + 0*k**w + 2/7*k**5 = 0. -1, 0, 1 Suppose 12 = 3*w - w. Let q = w - 1. Factor 0*f + 2/5*f**3 - 2/5*f**2 + 0 - 2/5*f**q + 2/5*f**4. -2*f**2*(f - 1)**2*(f + 1)/5 Let o(r) be the first derivative of 3*r**5/5 - 3*r**4/2 - 3*r**3 + 6*r**2 + 12*r - 33. Let o(i) = 0. Calculate i. -1, 2 Let s(y) = -y**2 + y + 5. Let j be s(0). Let r(d) = -3*d**2 + 5*d - 2. Let m be 3/(-48)*-4*4. Let g(k) = k**2 - k. Let o(u) = j*g(u) + m*r(u). Factor o(x). 2*(x - 1)*(x + 1) Suppose 4*v = 3*v - 3*s + 5, -4*v = s - 20. Suppose 0 = v*j + 3*f + 2, j = -j + 2*f + 12. Factor 0*m**j + 0*m + 0 + 0*m**3 + 4/5*m**4 - 2/5*m**5. -2*m**4*(m - 2)/5 Let x be 0*((-6)/(-2))/(-6). Find m such that 0 + x - 6*m - 2*m**2 - 4 = 0. -2, -1 Determine q, given that -1/3*q**5 + q**3 - 2/3*q**4 + 0 + 4/3*q + 8/3*q**2 = 0. -2, -1, 0, 2 Suppose -6 = -2*y + 4. Factor -5*n - 7*n**2 + 2*n - 6*n**4 + 3*n**y + 13*n**2. 3*n*(n - 1)**3*(n + 1) Let c(p) be the second derivative of 3/2*p**2 + 0*p**3 - 6*p - 1/4*p**4 + 0. Factor c(d). -3*(d - 1)*(d + 1) What is w in 3/4*w - 9/2*w**2 + 9/2 - 3/4*w**3 = 0? -6, -1, 1 Let p(i) be the first derivative of 2 + 1/10*i**4 - 8/5*i + 8/5*i**2 - 2/3*i**3. Find x, given that p(x) = 0. 1, 2 Solve -21 - 3/7*j**2 - 6*j = 0 for j. -7 Let i = -4/15 + 14/15. Let f(o) be the second derivative of 1/6*o**4 + i*o**3 - o - 1/5*o**5 - 1/10*o**6 + 0 + 1/2*o**2. Factor f(r). -(r - 1)*(r + 1)**2*(3*r + 1) Let g = -2 + 5/2. Let k(f) be the first derivative of -g*f**2 - 4 - 2*f + 1/3*f**3. Factor k(a). (a - 2)*(a + 1) Determine x, given that -30*x - 12*x**2 + 22*x - 4*x**3 - 5*x**3 - 2*x**4 - 2 + x**3 = 0. -1 Let x(v) be the first derivative of 0*v + 4 - 2*v**2 + 2*v**3 - 1/2*v**4. Factor x(k). -2*k*(k - 2)*(k - 1) Let u(c) be the third derivative of c**8/35 - 4*c**7/25 + 49*c**6/200 + c**5/25 - 11*c**4/40 - c**3/5 + 2*c**2 + 5*c. Determine i so that u(i) = 0. -1/4, 1, 2 Factor -5*z - 10 - 3*z + 0*z + 2*z**2. 2*(z - 5)*(z + 1) Let y(n) be the first derivative of -4/15*n**5 - 1/2*n**2 - 1 + 5/9*n**3 + 1/4*n**4 - 1/3*n. Let y(o) = 0. Calculate o. -1, -1/4, 1 What is g in g**3 + 2/3*g**2 - 4/3*g + 0 - 1/6*g**4 - 1/6*g**5 = 0? -2, 0, 1, 2 Let b(o) be the third derivative of -o**8/1512 + 4*o**7/945 - o**6/108 + o**5/135 - 11*o**2. Suppose b(n) = 0. What is n? 0, 1, 2 Suppose -10*m**2 + 8*m**4 + 0*m**2 + 43 - 38 - 3*m**4 = 0. Calculate m. -1, 1 Let l = 285/32 - 47009/5280. Let n(u) be the third derivative of 0*u**3 + 0 + 0*u + 1/132*u**4 + l*u**5 + u**2. Factor n(a). 2*a*(a + 1)/11 Let w = -40 - -40. Let x(m) be the first derivative of -1 + 1/2*m**4 + 2/5*m**5 + w*m**3 + 0*m**2 + 0*m. Factor x(y). 2*y**3*(y + 1) Suppose 27/2*d**2 - 75/2 - 3/2*d**3 - 45/2*d = 0. Calculate d. -1, 5 Factor -3/4*i**3 + i + 2*i**2 + 0 - 9/4*i**4. -i*(i - 1)*(3*i + 2)**2/4 Suppose i = 2*i. Suppose 0 = -i*y - 4*y + 8. Factor -4*x + 3*x + y*x - x**3. -x*(x - 1)*(x + 1) Let m be (1 - (-5)/(-3))*-2. What is t in 2/3*t**5 - 2/3*t - m*t**2 + 0*t**3 + 0 + 4/3*t**4 = 0? -1, 0, 1 Suppose 8*p**4 + 5*p**5 - 4*p**3 + 4*p**5 + 3*p**5 = 0. What is p? -1, 0, 1/3 Let j(u) = -20*u - 1. Let b be j(1). Let q be (-2)/2*b/7. Determine t, given that -2 + 3*t + 1/4*t**q - 3/2*t**2 = 0. 2 Let w(l) be the third derivative of l**5/60 - 5*l**4/24 - l**3 - 5*l**2. Find p, given that w(p) = 0. -1, 6 Let h = -31 + 41. Let z be h/7 + (-4)/14. Factor -10/7*m - 4/7 - 2/7*m**3 - z*m**2. -2*(m + 1)**2*(m + 2)/7 Suppose -8*n = 12 - 68. Let u(w) be the third derivative of 1/15*w**3 - 1/525*w**n - 1/30*w**4 + 0*w + w**2 + 1/150*w**6 + 0*w**5 + 0. Solve u(y) = 0 for y. -1, 1 Let v(h) = -h**2 - 2*h. Let d be v(-2). What is s in 1 + d - 1 - 3*s**4 - 3*s**3 = 0? -1, 0 Let h(l) be the third derivative of l**5/30 - l**4/4 + 2*l**3/3 + 2*l**2 + 1. Solve h(j) = 0. 1, 2 Let l be 63/36 + (-1)/(-4). Suppose 4*d**3 - 3 - 8*d + 6*d**l - 4 - 1 - 2*d**4 = 0. Calculate d. -1, 2 Let n be 2/1 - (1 - 2). Suppose -1 = -4*a + 7. Find j, given that -j - 21*j**a + n*j + 4*j = 0. 0, 2/7 Let q(r) be the first derivative of -r**6/48 + r**5/20 + r**4/32 - r**3/12 + 18. What is k in q(k) = 0? -1, 0, 1, 2 Let b = 17 + -87/5. Let y = b - -13/20. Suppose -1/4*h**2 - y + 1/2*h = 0. What is h? 1 Factor -4/5*i**2 - 16/5 - 4*i. -4*(i + 1)*(i + 4)/5 Determine d so that -5*d**3 + 34 - 9 + 8*d**2 + 7*d**2 + 45*d = 0. -1, 5 Suppose -f + 0*f - 2 = 0. Let v be ((-2)/(-3))/(f/(-6)). Factor -2*g - 3*g**2 + g**2 + 0*g**v. -2*g*(g + 1) Let c(m) be the second derivative of -3*m + 0 - 1/4*m**3 - 1/8*m**4 + 0*m**2. Solve c(r) = 0. -1, 0 Factor 3*p**4 - 2*p**2 - 4*p**4 + 2*p**4 + 1. (p - 1)**2*(p + 1)**2 Let h(i) be the second derivative of 6*i + 0*i**5 + 1/90*i**6 + 0*i**2 + 0 + 0*i**3 + 0*i**4. Factor h(s). s**4/3 Suppose 3 - 25 = -4*i + t, -2 = -2*i - 4*t. Determine x, given that 0 - 10/7*x**2 + 6/7*x**3 - 8/7*x**i + 10/7*x**4 + 2/7*x = 0. -1, 0, 1/4, 1 Suppose 0*n + 2*k = -3*n + 10, 0 = n - k - 5. Find t such that -4*t + 10*t**2 + t**n - 6*t**3 + t**4 - 2*t**3 = 0. 0, 1, 2 Let z(n) be the third derivative of 5*n**5/72 + 5*n**4/36 + n**3/9 + 11*n**2. Determine u, given that z(u) = 0. -2/5 Let y(m) = -5 + 6 - 3. Let k(q) = -q**4 - q**3 + 11. Let f(s) = -4*k(s) - 22*y(s). Let f(l) = 0. What is l? -1, 0 Suppose -13 - 5 = p + 5*q, 8 = -4*p - 4*q. Determine w so that p*w + 2/3*w**2 + 4/3 = 0. -2, -1 Let u(t) be the third derivative of 3/5*t**6 - 1/2*t**3 - 1/20*t**5 - 4*t**2 - 3/4*t**4 + 0*t + 0 - 8/35*t**7. Factor u(v). -3*(v - 1)**2*(4*v + 1)**2 Let p(z) = z**3 + 2*z**2 - 3*z + 3. Let d be p(-3). Let m be ((96/20)/(-4))/(9/(-24)). Let 9/5*k**5 + 0*k + 2/5*k**2 - m*k**4 + k**d + 0 = 0. Calculate k. -2/9, 0, 1 Factor 6/11*j**2 + 8/11*j**3 + 0 - 36/11*j - 2/11*j**4. -2*j*(j - 3)**2*(j + 2)/11 Factor -7*a**3 + 12*a**2 + 4*a - 9*a + 4*a**3 - 7*a. -3*a*(a - 2)**2 Suppose 0 =
{ "pile_set_name": "DM Mathematics" }
7 Let u(j) = -j**2 + 5*j - 6. Let k be 11 - 11 - (-28)/(-6)*3. Let q be 1/2 + (-63)/k. Calculate u(q). -6 Let j(f) be the second derivative of f**7/2520 + f**6/180 - 7*f**4/6 + 4*f + 8. Let p(g) be the third derivative of j(g). Determine p(-5). 5 Suppose z - 3*c + 7*c + 21 = 0, 2*z + 4*c = -26. Let o(i) = 3*i + 3. Let f(y) = -y - 2. Let r(a) = z*f(a) - 2*o(a). Calculate r(-4). 8 Let s = 95 - 50. Let p(l) = -4 + 46*l**2 - s*l**2 + 3*l + 4*l - 5. Calculate p(-8). -1 Let q(y) = -y**3 - 473 + 211 + 12*y + 249 + 11*y**2. What is q(12)? -13 Let c(t) = 8*t. Suppose -4*n + 2*o + 2 = 0, 0 = -5*o + 2 + 13. Let l(s) = 0*s**2 + s + s**n + 3*s - 4. Let z be l(-5). Calculate c(z). 8 Let f(y) be the second derivative of -y**3 + 6*y. Let u(k) be the second derivative of -k**4/12 - k**3/2 - k**2/2 + 11*k. Let d be u(-3). Determine f(d). 6 Suppose -21*a + 116 = -31. Suppose 0 = -2*o - 2*o. Let s(r) = o + 1 - 7 + r. Give s(a). 1 Let b(s) = 99*s - 41*s - 32*s - 5 - s**3 + 3 - 9*s**2 - 37*s. Calculate b(-8). 22 Suppose 2*p - 4*n + 14 = 0, 3*n - 10 = 4*p + n. Let y be 2 + p - (-6)/2. Let l(q) = 62 - 62 - y*q. Give l(1). -4 Let l(y) = 3*y - 7. Let v be l(5). Let j(s) be the first derivative of -s**3/3 + 7*s**2/2 + 3*s + 1097. What is j(v)? -5 Let n(a) = 2*a - 5. Let k = -29 - -66. Let o = 41 - k. Determine n(o). 3 Let u(l) = 19*l + 1. Let w be u(0). Let p(a) = 30*a + 1. What is p(w)? 31 Let u(p) = -4*p**2 + 2 + 3*p**2 + 15*p - 7*p. Suppose -11*i + 14 = -9*i. Calculate u(i). 9 Let f(q) = -1 - 7*q + 8 + 6 - 14. Let n(h) = -h**2 - 2*h - 2. Let s be n(-2). Determine f(s). 13 Let c(t) = t + 5. Suppose 45 + 18 = -7*v. Let l be (48/10)/(-2) + v/15. What is c(l)? 2 Let a(i) = -4*i - 1. Suppose -4*c - 9 = j + 2, -2*c = j + 9. Let u be -4 - -5 - (j - -3). What is a(u)? -21 Let s(n) be the second derivative of n**5/20 - 2*n**4/3 + n**3 + 7*n**2/2 + 288*n. Calculate s(7). 0 Let z be (-30 - -34)/((-2)/(-3)). Let x(n) = 3*n**2 - 21*n + 17. Let u(d) = -2*d**2 + 14*d - 11. Let k(v) = -7*u(v) - 5*x(v). Calculate k(z). -2 Suppose -2*p + f - 15 = 0, 4*f - 4 = p - 0*p. Let l = 13 + p. Suppose q - l*q = -20. Let y(b) = b**2 - 5*b + 7. Determine y(q). 7 Suppose -13*g - 24 = -19*g. Let r(u) be the first derivative of -u**3/3 + 2*u**2 - 6*u + 1. Give r(g). -6 Let u(c) = -c**2 + 3*c - 2. Let b be u(1). Let x(l) = b - 1 + 0*l - 5*l - 6*l. Let i = 3 + -4. Determine x(i). 10 Suppose 6*k = 2*k - 3*o - 11, 11 = -5*k - o. Let s(f) = 3*f + 2. Give s(k). -4 Let x(b) be the second derivative of -b**5/20 - 3*b**4/4 - 5*b**3/6 - 5*b**2 + b - 4. Calculate x(-9). 35 Let m(q) = q**2 - 10*q - 8. Let i(u) = 184*u**2 - u**3 - 181*u**2 + 3*u - 19 + 7*u. Let b be i(3). Determine m(b). 3 Let c(g) = -5*g + 30. Let w(l) = -3*l + 20. Let a(p) = 5*c(p) - 8*w(p). Determine a(-6). -4 Suppose -3*i - 21 = 4*t, -t + 3*i - i = -3. Let b(r) be the first derivative of -r**4/4 - r**3 - 3*r**2/2 - r - 3. Give b(t). 8 Suppose 3*i = -v + 10 - 2, -4*i = -4*v. Let o(b) be the third derivative of 7/60*b**5 + 0*b + 1/6*b**3 + 1/12*b**4 + 0 + b**i. Give o(-1). 6 Let w(t) = 3*t**3 + 7*t**2 - 5*t - 2. Let k(r) be the first derivative of 5*r**4/4 + 14*r**3/3 - 5*r**2 - 4*r + 17. Let d(i) = 4*k(i) - 7*w(i). Determine d(6). 4 Let w(u) = -u**2 - 6*u + 10. Let b be (7/21)/(2/(-3))*0. Suppose 0 = -3*g - 5*s + 16, 2*g - 3*s + 4 = s. Suppose b = g*y - 3 + 17. Calculate w(y). 3 Let i(t) be the first derivative of 4*t**2 - 1/6*t**3 + 1 - t. Let k(b) be the first derivative of i(b). Give k(6). 2 Let k(s) be the third derivative of -s**7/5040 + s**6/60 - s**5/15 - 4*s**2. Let b(l) be the third derivative of k(l). Give b(8). 4 Let i(l) = -3*l**2 + 2*l**2 + 9*l + 0*l**2 - 7. Suppose -11*t + 18*t - 56 = 0. Let n be i(t). Let w(r) = -3*r + 1. Calculate w(n). -2 Let w = -57 - -49. Let d(y) = 3*y**2 + 5*y + 25. Let t(z) = 5*z**2 + 7*z + 38. Let q(k) = w*d(k) + 5*t(k). Give q(7). 4 Suppose 3*l + 3*l - 36 = 0. Suppose -12 = -l*j + 3*j. Let g(t) = t**3 - 6*t**2 + t + 4. Calculate g(j). -24 Suppose 0 = -4*v - b + 44, 5*v - 2 = -5*b + 38. Suppose -4 = y - 3*y, 2*u + 4*y = v. Let l(x) = -x**2 + 9*x - u*x + 4 - 2*x + 3. What is l(6)? 1 Let b(x) = -x**2 - 13*x - 21. Let d = 38 - 47. Determine b(d). 15 Let r(j) = 7*j. Suppose 0 = -2*l + 2*v + 30, -3*v - v = 2*l. Let s = -11 + l. What is r(s)? -7 Let d(w) = 2*w**2 + 2*w**2 + 0*w**2 + w. Suppose 156 = -r - 3*r. Let z = 37 + r. Give d(z). 14 Let r be -6*2*(-4)/6. Let n = -5 + r. Let p(g) = -16 - 2*g**3 - 5*g**2 + 19 - n*g + g**3. Give p(-4). -1 Let k(a) = a**3 + 4*a**2 + 3*a + 1. Let t be -2 - (2 - (2 + 0)). Give k(t). 3 Let c(a) = a + 3. Let o be (27/2)/(4/(-8)). Let l = o - -30. Suppose l*g = 4*g + 3. Determine c(g). 0 Suppose w - 7 = -4*y, 0 = -3*w - 2 - 1. Let a(x) = -x + 2. Calculate a(y). 0 Suppose 6 = 5*l - 59. Let k = l - 9. Let y(x) = x. Let o(a) = 4*a + 1. Let z(u) = o(u) - 3*y(u). Determine z(k). 5 Suppose -3*u = 4*j + 27, 6 + 9 = -j + 2*u. Let x(g) be the third derivative of -g**4/12 - 5*g**3/3 + 192*g**2. Give x(j). 8 Let o(b) = b**2 + 6*b + 3. Let z be -35 + (-6)/(4/(-8)*4). Let t = z - -26. Give o(t). 3 Let u = 716 + -715. Let t(q) = 32*q**3 + q**2 - 3*q + 2. What is t(u)? 32 Let d(f) = -f. Suppose -4*h = -3*h - 5*b - 42, -5*b - 110 = -5*h. Suppose -3*j - 4*m = -h, -m - 1 = -2*j - 8. Calculate d(j). 1 Let n(k) = k**3 + 10*k**2 + 12*k + 8. Let s be n(-8). Suppose 3*c = 3*u + 2*u - s, -2*u = 2*c. Let i(g) = -g**2 - 2*g. Calculate i(c). -15 Let f(o) = -3*o**3 - 9*o**2 - 6*o - 4. Let l(g) = 6*g**3 + 16*g**2 + 11*g + 7. Let j(z) = -5*f(z) - 3*l(z). Determine j(-2). 17 Let f(x) = -x**2 + 8*x - 5. Let r be f(7). Let h(p) = -3*p**2 - 2*p**2 + 3 - 10*p**3 + 4*p + 11*p**3 - p**r. Determine h(5). -2 Suppose -n = -2, -5*t + 5*n - 38 = -6*t. Suppose -2*h = -3*f + 11, 4*h + f = -1 - t. Let o(j) = -j**2 - 6*j + 2. Give o(h). -5 Let a = -16 - -40. Suppose -b - r = 8, -b + 3*r = 2*b + a. Let j(d) = d**2 + 10*d + 12. Calculate j(b). -4 Let q(k) = 37*k - k**3 + 12*k**2 - 47*k - 14 - 10*k. What is q(10)? -14 Let q(d) = 85*d - 1 + 3 + 1 + 2 - d**2 - 90*d. What is q(-7)? -9 Let u(a) = -a + 1. Suppose 2*i = 67 - 9. Let x(t) = -4*t**3 - t**2 + 1. Let g be x(-1). Suppose -l + i = -g*v, v = 6*v - 5*l + 55. What is u(v)? 7 Let f(c) = 2*c**3 - 3*c**2 - 14*c. Let n(i) = -i**3 + 2*i**2 + 7*i. Let o(w) = 2*f(w) + 5*n(w). Let b(r) = 11*r - 215. Let z be b(20). Calculate o(z). 10 Let p(h) = h**3 - h. Suppose 0 = -4*l + 2*o - 6, l - o = -2 - 2. Suppose 11 + l = 6*s. What is p(s)? 6 Let b = 1 + 0. Let z(l) = 4 - 2*l + b + 1. What is z(6)? -6 Suppose 3*p + 14 = 8. Let z(b) = -b**3 - 3*b**2 - 2*b - 2. Determine z(p). -2 Let j(n) be the third derivative of n**5/30 - n**4/24 + n**3/6 - n**2 - 103*n. Suppose z - 3 = 2. Suppose 3*k - 1 - z = 0. What is j(k)? 7 Let r(j) = -3*j**3 + j**2 - j + 1. Let u(s) = 11*s**3 + 2*s**2 - s - 10. Let b(m) = 4*r(m) + u(m). What is b(5)? -6 Suppose 23 = -4*u + 3. Let w(q) = -q**3 - 5*q**2 + 6. What is w(u)? 6 Let a(q) = -q**3 + 2*q**2 + q - 2. Let h be a(2). Suppose h = w - 6 + 4. Suppose 2*p - w = 6. Let v(s) = -s**2 + s + 4. Give v(p). -8 Let z = -231 - -229. Let x(j) = -3*j**2 - 1. Determine x(z). -13 Let j(w) = w - 6. Let b be j(11). Suppose -2*x - 25 = -5*m, -b*m + 14 + 11 = 5*x. Let l(k) = -25*k - k**2 + x*k**2 + 25*k + 3. What is l(0)? 3 Let k = -1280 - -1286. Let b(t) = t**3 - 4*t**2 - 9*t + 1. Calculate b(k). 19 Let j(k) = -2*k**3 + 4*k**2 - 2*k. Suppose 0 = -p + 4*r + 10, 0*r + 8 = p - 3*r. Suppose p*a = -3*s + 10 - 0, -4*a + 10 = s. Calculate j(s). -4 Let u(l) = 15*l + 9. Let w(t) = -7*t - 5. Let q(y) = 4*u(y) + 9*w(y). Suppose 14785*s = 14787*s + 12. Calculate q(s). 9 Suppose 2*z - 3 = -u, -z - 12 = -5*z. Let k(a) = -a**3 - 4*a**2 + 1. Give k(u). -8 Let u(o) = 2*o - 1. Let b(q) = q + 8. Let h(d) = 2*b(d) - 3*u(d). Determine h(6). -5 Let p = -2 + 4. Let k(q) = 9*q**2 - 9*q. Let n = -51 + 53. Let r(u) = 4*u**2 - 4*u. Let g(w) = n*k(w) - 5*r(w). Determine g(p). -4 Let v be ((-627)/(-55) + (-4)/10)*1. Suppose -c + 40 = -v*c. Let j(n) = -n**3 - 5*n**2 + 2*n - 5. Calculate j(c). -29 Let n(r) be the first derivative of -r**3 + 2*r**2 + 4*r + 252. What is n(4)? -28 Let s(b) = 1. Let r(z) = 3*z + 2. Let q(l) = -r(l) + 2*s(l). Suppose 0 = 21*k - 11*k + 20. Determine q(k). 6 Let m(w) = 3*w**3 - 22*
{ "pile_set_name": "DM Mathematics" }
tive of 22*y**3/3 - y**2 + 2*y + 4. What is the least common multiple of g and r(1)? 176 Calculate the common denominator of 54/180*35/6 and 89/2. 4 What is the common denominator of -111/10 and ((-1)/8)/(-10 + 12)? 80 Let j be (-1)/3 - 2/(-6). Suppose j*s = s - 3. Let t = s + 3. What is the lowest common multiple of t and 4? 12 What is the smallest common multiple of -2 - (6 - 2 - 28) and 4? 44 Let f = -2158996334/357 - -6047617. Let n = 161/102 - f. What is the common denominator of 19/2 and n? 14 Let p be 32/18 + (-2)/(-9). What is the least common multiple of 10 and 3/(-6)*p*-7? 70 Let f = 382/2079 + 2/297. Find the common denominator of f and -5/27. 189 Let q = 827/3 + -281. Let o be (-1)/2 + (-6154)/(-44). Let m = o + -139. What is the common denominator of q and m? 33 Suppose 3*z = q + 11 + 16, -5*q + 25 = z. What is the least common multiple of ((-8)/z)/(3/(-60)) and 6? 48 Let j be ((-3)/(-50))/((-6)/95). Let t = j + -817/140. Let g = -252/13 - -241/52. Calculate the common denominator of t and g. 28 Suppose -j = j - 4. Calculate the least common multiple of j and 6. 6 Let n be 3/6 - (-10)/4. What is the smallest common multiple of 3/(((-9)/n)/(-3)) and 7? 21 Calculate the common denominator of (3/(-8))/(36/2224) and 0 + (-2 - 50/4). 6 Let y = -5944/55 + 544/5. What is the common denominator of 7/5 and y? 55 Find the common denominator of -109/6 and (-1*(-24)/(-81))/((-2)/48). 18 Let k(y) = y - 2. What is the lowest common multiple of k(14) and 12? 12 Let d = 13 - -2. Let w = d - 5. Calculate the smallest common multiple of 164/w - 8/20 and 2. 16 Suppose 10 = 2*l + 3*l, -c = 5*l - 11. Suppose 0 = 2*f - c - 5. What is the common denominator of 17/4 and -1 + 170/(-44) + f? 44 Let p = 273 + -1379/5. Find the common denominator of -71/32 and p. 160 Let m = 5/329 - -33169/3948. What is the common denominator of m and (2/(-20))/(2/114)? 60 Let x(m) = -m**3 - 5*m**2 + 5*m. Let u be x(-6). Suppose -11 = i + u. What is the common denominator of (-36)/(-21)*i/8 and -69/2? 14 Let k = 29 - 20. Let p = k + -2. Let n = 15 - p. Calculate the lowest common multiple of 1 and n. 8 Find the common denominator of 3 + 1 + (-2)/(-9) and -93/2. 18 Let o be (1/(-3))/((-1)/4611). Let i = o - 12247/8. Find the common denominator of -9/22 and i. 88 Suppose -3*c + 5*r = 2*c - 15, 0 = -4*c - 2*r - 6. Let o be 3/12*-2*c. Let j(h) = h + 14. Calculate the smallest common multiple of j(o) and 12. 84 Suppose -k + 2 + 10 = 0. Let v be k - (-2 + 2)/(-1). Suppose -4*x - v = -8*x. What is the smallest common multiple of 10 and x? 30 Let p = -31817/828 - -910/23. Calculate the common denominator of p and -85/6. 36 Suppose 0 = -5*g + 8 + 7. Suppose g*f - 5 = 7. Let l = -11 + 33. Calculate the lowest common multiple of l and f. 44 Calculate the common denominator of (1 + 4/(-7))/1 and 9/14*((-98)/21 + -2). 7 Suppose 4*b - 12 = 0, -r - r = 3*b - 45. Let y = -8 + 10. Let f = 0 + y. Calculate the smallest common multiple of f and r. 18 Calculate the common denominator of 6/(-12) - 37/(-22) and 11/(-6)*15/4. 88 Let q(y) = y + 16. Let x be (-2)/(-8) + 246/8. Suppose 3*k = -3*h - 2*k + x, 5*h - 4*k = -10. What is the least common multiple of q(-8) and h? 8 Suppose -4*y + 42 = -14. Suppose -n + 11 = -1. Calculate the lowest common multiple of y and n. 84 Let b be 26/((-3)/384*-2). Calculate the lowest common multiple of b/91 + 4/(-14) and 10. 90 Let b be (-819307)/(-60) - (-6)/(-9). Let v = b - 13658. Calculate the common denominator of 73/14 and v. 140 Let o = 15 - -1. Calculate the smallest common multiple of 18 and o. 144 Let b = -7 + 11. Suppose 6 = -3*l - 18. Let s(q) = -q**3 - 7*q**2 + 6*q - 2. Calculate the lowest common multiple of b and s(l). 28 Let r = 482605/28 + -17233. What is the common denominator of r and ((-1)/(-14))/(2/46)? 28 Let v = 32 + -52. What is the common denominator of -91*(-1)/v - -2 and -53/4? 20 Let b(o) be the second derivative of -o**3/6 + 3*o**2/2 + o. Let h be b(-7). What is the lowest common multiple of 10 and 11/5 - 2/h? 10 Let q = -485/24 - -70/3. Find the common denominator of q and -21/20. 40 Let u = 9203/10 - 917. Find the common denominator of u and -19. 10 Let n be (-4)/16 + 549/(-20). Let u = n - -63/2. What is the common denominator of (-1)/(-1) - (-284)/32 and u? 40 Suppose 3*h + h = 12. Suppose 0*w + h*w - 18 = 0. What is the lowest common multiple of 10 and w? 30 Let y(m) = -m**3 + 10*m**2 - 9*m - 1. Let u be y(9). Let f(v) = -3*v - 9. What is the least common multiple of 1/(3*u/(-6)) and f(-7)? 12 Let y = 1/390 + -3284/585. What is the common denominator of y and 785/(-150) + 2/6? 90 Let s = 1 - -1. What is the smallest common multiple of s and 6? 6 Suppose 0 = k - 3*x - 18, -5*k + 3*x - 18 = -7*k. Calculate the smallest common multiple of 33 and k. 132 Suppose -4 = -2*t - 2*t. What is the lowest common multiple of t and 8? 8 Let g = 23605/12 + -3923/2. What is the common denominator of -101/6 and g? 12 Suppose -4*l - 218 = 66. Let z = -311/4 - l. What is the common denominator of z and 61/2? 4 Suppose -2*r + 0*r = 4*f - 16, 0 = -2*f + 3*r. Suppose 4*b = -5*j + 55, 0*j - f*b = -2*j + 22. Calculate the smallest common multiple of 7 and j. 77 Let t(j) = j**3 - 6*j**2 + 5*j + 1. Let k be t(5). What is the common denominator of -3*(11/(-24) - k) and -51/5? 40 Let t = 12 - 6. Suppose -2*f = -4*x - 5*f - 1, -t = 3*x + 4*f. Suppose -5*r = 16 - 106. Calculate the least common multiple of x and r. 18 Suppose 0 = 4*o - 5*n - 45, 5 = o + 3*o + 3*n. What is the smallest common multiple of o and 9? 45 Let o(c) = -2*c**3 + 7*c**2 + 8*c + 4. What is the lowest common multiple of o(4) and 40? 40 Let i(c) = -c**2 + 30. Calculate the lowest common multiple of i(-5) and 25. 25 Let h(p) = -4*p**2. Let d be h(1). Let f = -2719/2 - -1322. Find the common denominator of (d/22)/(6/(-93)) and f. 22 Let p(i) = 2*i - 6. Let y be p(7). Let x be 18/y + (-2)/8. Suppose 4*t - x*s = 20 + 14, -4*t = -s - 29. Calculate the least common multiple of 9 and t. 18 Let u(d) = 2*d - 10. What is the lowest common multiple of u(13) and 4? 16 Suppose -9 = -4*f - 5. Let g = -3 + 33. Suppose 4*u - u - g = 0. Calculate the lowest common multiple of f and u. 10 Suppose -4*y = 5*a - 6 - 82, -4*y + 88 = -5*a. What is the lowest common multiple of y and (10/(-6))/(1 - (-14)/(-12))? 110 Suppose 3*s - 5 = -2*s. Suppose 5 - s = m + 3*y, -5*y = 5*m - 20. Calculate the lowest common multiple of 8 and m. 8 Let l = 17 - 17. Suppose -r + 5*r + 5*f - 3 = l, 8 = 2*r - 4*f. Calculate the smallest common multiple of r and 8. 8 Let a = -136385/10626 + 3/1771. Calculate the common denominator of a and (-19 + 2)/(16/(-10)). 24 Let a be (-418621)/336 + (-4)/6. Let q = a - -1244. Find the common denominator of 6/(-21) + (-710)/308 and q. 176 Suppose -5*b + 180 = -b. Suppose -b = -2*i - 17. What is the lowest common multiple of i and 8? 56 Suppose 2*j = 0, -3*h + 60 = -h - 5*j. What is the lowest common multiple of h and 57? 570 Let p be (2/(-16))/(1/10342). Let k = 1285 + p. Calculate the common denominator of 81/8 and k. 8 Let z(f) = -f + 3. Let i be z(-5). Let r = 1 - -1. Suppose r*g - 19 = -3*s, -3*g + i = -5*s - 30. Calculate the smallest common multiple of g and 3. 33 Let c = -3 + 2. Let j = -5/3689 - -202975/59024. Find the common denominator of 1 + (-230)/(-44)*c and j. 176 Suppose 2*d - 2*p = -2*d + 34, 5*p = 5*d - 45. What is the smallest common multiple of d and 31? 248 Let v = -2/25393 - -1244293/457074. Calculate the common denominator of v and -29/20. 180 What is the common denominator of ((-85)/50)/((-6)/(-3)) and -33/10? 20 Let b = 231996 + -15076639/65. Let k = -232/5 + b. Find the common denominator of k and 15/11. 143 Suppose 0 = 4*q - 2 - 18. Let j be 36/(-2)*(-3)/6. Let l = j - q. What is the least common multiple of 6 and l? 12 Suppose 1 = 2*v - 1. Suppose 5 - v = 4*y. What is the common denominator of 5/9 and 0 + (-41)/(-2) - y? 18 Let q = 19 + -3. Let t = q - 4. What is the lowest common multiple of 14 and t? 84 Let z = 2706/13 - 20933/104. What is the common denominator of z and 47/11? 88 Suppose 3*a - 22 = a. Let j(s) = -s**2 + 6*s + 15. What is the smallest common multiple of j(7) and a? 88 Let w = 5 + -1. What is the smallest common multiple of 4 and w? 4 Let b = 11 - 27
{ "pile_set_name": "DM Mathematics" }
e? True Is 10109 a composite number? True Is 6363131 a composite number? False Is 167199 a prime number? False Is 370261 a prime number? True Is 91009 prime? True Is 1521953 a composite number? True Is 12677 composite? True Is 3981 a prime number? False Is 194305 prime? False Is 1261093 composite? True Is 621419 a prime number? True Is 465529 composite? False Is 206161 prime? False Is 44017 a prime number? True Is 5147 a composite number? False Is 2021 prime? False Is 8903 composite? True Is 1016021 composite? True Is 15497 composite? False Is 92767 prime? True Is 5519 prime? True Is 134083 a prime number? False Is 152519 a prime number? True Is 816251 prime? True Is 57479 composite? True Is 655071 prime? False Is 13441 composite? False Is 52499 a prime number? False Is 13929 a composite number? True Is 3071 a composite number? True Is 159118 composite? True Is 114689 a composite number? False Is 226991 a prime number? True Is 18431 composite? True Is 11917 a composite number? True Is 12301 a composite number? False Is 9101 prime? False Is 257069 composite? False Is 6377 a prime number? False Is 509995 a prime number? False Is 1138747 composite? True Is 19 a composite number? False Is 64441 a composite number? True Is 671729 a composite number? False Is 124693 a composite number? False Is 6689 composite? False Is 103349 prime? True Is 8191 a composite number? False Is 40093 prime? True Is 12251 composite? False Is 103951 composite? False Is 4421 prime? True Is 3761 a prime number? True Is 28774 a prime number? False Is 150019 a composite number? True Is 15541 composite? False Is 2743 composite? True Is 14969 composite? False Is 521861 composite? False Is 8473 a composite number? True Is 25094 a prime number? False Is 20477 prime? True Is 4703 a composite number? False Is 8501 composite? False Is 5431 a composite number? False Is 2813 a composite number? True Is 309427 composite? True Is 75489 a prime number? False Is 7121 composite? False Is 555661 a composite number? False Is 173137 a composite number? False Is 781037 composite? True Is 291185 a composite number? True Is 11777 prime? True Is 458629 prime? True Is 11614 a composite number? True Is 1124709 prime? False Is 1048659 composite? True Is 221047 composite? False Is 260878 a composite number? True Is 37067 a composite number? True Is 22658 a prime number? False Is 90313 prime? True Is 14239 a composite number? True Is 798299 prime? False Is 6297 a prime number? False Is 322403 a prime number? True Is 1461 prime? False Is 34439 a composite number? False Is 60887 a prime number? True Is 8501 composite? False Is 246023 composite? True Is 1211 a composite number? True Is 310273 prime? True Is 26527 composite? True Is 599671 a prime number? False Is 449101 prime? False Is 353999 a prime number? False Is 877427 composite? True Is 169237 a prime number? False Is 130537 a composite number? True Is 1278283 composite? True Is 164479 a prime number? False Is 10921 prime? False Is 25045 a composite number? True Is 4139 composite? False Is 1100045 a composite number? True Is 9033 a prime number? False Is 87977 composite? False Is 50509 a prime number? False Is 1568419 a prime number? True Is 9527 a composite number? True Is 1292761 a prime number? False Is 78041 a prime number? True Is 221617 prime? False Is 3979 composite? True Is 889214 prime? False Is 19471 prime? True Is 5627 prime? False Is 1571249 a prime number? False Is 5561 a prime number? False Is 13309 a composite number? False Is 56611 a composite number? False Is 2811 a composite number? True Is 3510118 prime? False Is 625343 prime? True Is 3035 composite? True Is 12083 a prime number? False Is 19571 a composite number? False Is 9293 a prime number? True Is 25691 composite? True Is 519 composite? True Is 901 a prime number? False Is 915391 prime? True Is 484357 a composite number? True Is 18127 composite? False Is 33851 prime? True Is 331581 a composite number? True Is 24943 a composite number? False Is 15683 prime? True Is 197887 a prime number? True Is 421261 composite? True Is 56197 composite? False Is 404741 a composite number? True Is 125591 prime? True Is 1657 prime? True Is 175303 a prime number? True Is 673 prime? True Is 15627 a composite number? True Is 214813 a composite number? True Is 17707 composite? False Is 49451 a composite number? False Is 1816501 composite? True Is 6779 a prime number? True Is 9059 composite? False Is 213713 a composite number? False Is 23099 a prime number? True Is 37171 a composite number? False Is 336703 a composite number? False Is 521 a composite number? False Is 16129 a composite number? True Is 36401 composite? True Is 75401 prime? True Is 1156073 prime? True Is 109561 a prime number? False Is 12373 a prime number? True Is 356533 a prime number? True Is 211859 composite? False Is 91243 prime? True Is 13555 a composite number? True Is 57527 a composite number? False Is 13646 a prime number? False Is 33407 composite? True Is 23969 a composite number? True Is 386231 a composite number? True Is 1053769 a composite number? False Is 63901 a prime number? True Is 173281 composite? True Is 15343 composite? True Is 71846 prime? False Is 132943 prime? False Is 15401 composite? False Is 514997 a composite number? True Is 889 composite? True Is 1054457 a prime number? True Is 61081 prime? False Is 1901851 a prime number? False Is 6709 a prime number? True Is 6779 prime? True Is 158243 prime? True Is 1509353 prime? True Is 23899 a composite number? False Is 4771 composite? True Is 1699039 a composite number? False Is 37535 a composite number? True Is 1503311 a composite number? False Is 94247 a prime number? False Is 939971 composite? False Is 30293 composite? False Is 15055 prime? False Is 449819 a prime number? False Is 1763 a composite number? True Is 7737 a composite number? True Is 605009 composite? False Is 4351693 a prime number? True Is 16691 composite? False Is 104927 a composite number? True Is 20533 a composite number? False Is 37043 prime? False Is 693569 prime? True Is 44753 a composite number? False Is 252337 a composite number? True Is 1931 a composite number? False Is 1701979 a prime number? True Is 43853 prime? True Is 295553 a prime number? True Is 173069 a prime number? False Is 451039 a composite number? False Is 78415 composite? True Is 149489 a prime number? True Is 1243 a prime number? False Is 218203 composite? True Is 513901 a prime number? False Is 3846631 prime? False Is 764081 composite? False Is 230149 composite? False Is 89261 prime? True Is 4369 composite? True Is 395534 a composite number? True Is 472139 a prime number? True Is 21377 a prime number? True Is 233743 a prime number? True Is 7993 a composite number? False Is 16079 a composite number? True Is 123949 prime? False Is 1151 composite? False Is 209347 composite? False Is 361589 a prime number? False Is 967201 composite? False Is 238781 a composite number? False Is 102359 composite? False Is 524149 a composite number? False Is 244433 a prime number? False Is 141101 a composite number? False Is 3127 prime? False Is 114965 a prime number? False Is 40613 prime? False Is 21635 a composite number? True Is 8887 a prime number? True Is 83089 a prime number? True Is 46633 a prime number? True Is 587 prime? True Is 185899 a composite number? True Is 24127 a prime number? False Is 40727 prime? False Is 407999 composite? True Is 67103 prime? True Is 1639 a prime number? False Is 87211 prime? True Is 11054 composite? True Is 44491 a composite number? False Is 9527 prime? False Is 379 a composite number? False Is 4573 composite? True Is 59599 composite? True Is 110321 prime? True Is 6047 a prime number? True Is 10903 a composite number? False Is 740587 a prime number? False Is 7811 composite? True Is 99559 a composite number? False Is 869845 prime? False Is 15497 a composite number? False Is 430411 a prime number? True Is 122299 a prime number? True Is 456145 a composite number? True Is 7848923 a prime number? True Is 139241 prime? True Is 1651 a composite number? True Is 24287 a composite number? True Is 39409 a composite number? False Is 38231 a composite number? False Is 96377 a prime number? True Is 492853 prime? True Is 9
{ "pile_set_name": "DM Mathematics" }
4 - 17)*(-1842)/(-20) + 11? 1/28 What is the value of ((-1096160)/(-156))/(-68) - -103? -1/3 Evaluate (837/(-426) + 2)*130416/(-54340). -6/71 Evaluate (-288)/84 - 92184/(-966). 92 Evaluate 1 + -1 + 20/30 + 21 + (-688)/33. 9/11 (-2376)/(-588 - -291) - -755*2/555*-3 -6/37 What is the value of 11 - -48 - (-456 - -534)? -19 Evaluate ((-107 - 481)/7)/(-3 + 4). -84 Evaluate (-406)/(-91) + -6 + 1666/1071. 2/117 What is 118/1003 - ((-871)/234)/(357/(-9))? 1/42 What is the value of 26526/225471 - 176/51? -10/3 What is (59/(-1239))/((-524)/(-112) - 5)? 4/27 What is 0 + 427/13 - ((-4)/19)/((-49894)/(-36461))? 33 What is ((-1)/(-3))/(97878/2277 - 43)? -23 Evaluate 13110/(-494) + 13122/486. 6/13 What is the value of ((-8)/(-28) + (-6708)/(-91))/(10/(30/(-6)))? -37 Calculate (1665/740 - (-6)/(-8))*24/(-117). -4/13 Calculate ((-476)/(-1680)*6 - 4)*5*1. -23/2 What is the value of 69275/(-71720) - (-192)/176? 1/8 Evaluate -36 + (608/18)/(229 + -228). -20/9 238/26 - (-8 + 636/78) - (-43 - 6) 58 What is the value of 2078/(-122) - 936/(-28548)? -17 (-103 - 2)/5 + (-127500)/(-5950) 3/7 Evaluate ((-27416)/(-276) + -115)/((-8)/15 - 5/(-25)). 47 What is the value of ((-1)/(-116))/((-432)/3456*(-1 + 2))? -2/29 Evaluate (9/21 + 0)/(((-2)/35)/(978/9780)). -3/4 What is the value of (231/(-308))/((-13*(-2)/24)/(520/(-585)))? 8/13 What is the value of (-8)/(-78)*(48/408 + 871/(-1768))? -1/26 Calculate ((-14)/(-12))/(((-12450900)/784)/(-605)). 2/45 Calculate (1 + (0/4 - -2))*7224/(-504). -43 Calculate ((-544)/40 - -13)*585/44226. -1/126 What is -50*11/1540*(-2)/(-1)? -5/7 Evaluate 474/(-8) - ((-574)/106600*403 + (-4)/50). -57 Evaluate (20/((-700)/469) + 13)/((-3)/1140*-2). -76 3310/45 + 2 + (-24)/(-135)*(-10)/(-4) 76 Evaluate (80/24 + -3)*(27 + -33) - 0. -2 Evaluate (-5)/55 - ((-66)/(-99) - 4732/(-18216)*-3). 1/46 (-5 - 5750/(-966))*15/(-10) -10/7 What is -34*(-14 - 52340/(-3740)) + 496/(-66)? -22/3 Evaluate ((-18340)/393)/((-21)/(-18)). -40 Evaluate 5 - (-19)/(342/(-198)) - (-6)/8. -21/4 Evaluate 31*(42 + (-33936)/744). -112 What is the value of (-18)/(-118)*68918/(-310131)? -2/59 170/(-25) - (-184500)/2500 67 (10/(-16) - 12032/(-6144))*(-2)/56 -1/21 (-28490)/19536*1*(-9)/5 21/8 What is (-782)/56 + 34272/2380 + 2/(-5)? 1/28 What is (-34128)/48664 - (-80)/56? 8/11 What is the value of (50/(-6))/((-1115)/(-3345))? -25 -10 + -7 + (-3560)/(-60) - (-2)/(-6) 42 Calculate (171 - (-151512)/(-885))*(-2 - 733)/(-3). -49 What is the value of 572800/(-31504) - 10/(-2)*1/(-55)*-2? -18 What is (7944/(-216) - -37)*2? 4/9 Evaluate (-17)/(68/(-200)) - 4173/(-321). 63 (-4 + 133)/((-504)/(-33) + (-36)/132) 43/5 What is (0 + 7 + (-43594)/(-3684) - 19)/((-4)/14)? 7/12 What is the value of -135*(-12)/(-600)*5? -27/2 What is ((-550)/(-2280) - 36/228)*(-4 + -5)? -3/4 Evaluate (419/(-26) - 1472/(-92))*(3 + 13). -24/13 What is the value of -26 + (-77)/(-7) - 113/(-8)? -7/8 Evaluate 522/(-46) + 64 + (-636)/12 + 0. -8/23 What is 0/(-2)*66/528 - 34/3? -34/3 ((-140)/(-50))/(98/490) - 642/45 -4/15 What is ((-48)/44)/(-6) + (5 - (-19)/(14630/(-2230)))? 16/7 ((-56)/5 + (-2 - (-84)/7))/((-570)/100) 4/19 Evaluate (-8)/((-184)/(-529)) - 15. -38 Calculate (15/(-450)*-186)/(6/5)*18/3. 31 Evaluate (9 - (334/40 - (-95)/380))*23/(-2). -23/5 Evaluate (1235/169 + -7)/(37 - 23). 2/91 -50*(-39 - 139535/(-3575)) -20/13 Calculate (-360)/(-12) + -53 + 70. 47 Calculate (-294)/(-476)*(176/616 - (-6)/(-7)). -6/17 Calculate (-13 + 635/45)*3*(16 - 22). -20 What is 86875/(-250)*((-8)/(-50))/((630/75)/(-21))? 139 Evaluate -34 - 4 - (62 + 1088/(-68)). -84 Calculate (2/9)/(11/(-1089)*1177). -2/107 Calculate 146/(-33)*-3 - (21 - 128/16). 3/11 Evaluate (-4399122)/43953 - 2/(-46)*2. -100 What is the value of 18/(-972)*2858 + ((-380)/270)/19? -53 (-3645)/1215 + (2 - -37) - (-13)/1 49 Calculate (28/(-3654))/(43 + 87710/(-2030)). 1/27 Evaluate ((-3)/2)/(7/(-86)) - (5 + (-234)/42). 19 -40 + (-1755)/(-33 + -12) -1 (((-425)/15)/5)/(278/1668) -34 Calculate (4/180*-3)/((-18)/648). 12/5 What is 3/((-24)/128) + (-736)/138 + 25? 11/3 Evaluate (7 + -14 + ((-245)/28 - 3))/((-24)/(-64)). -50 What is (1/(-29))/(3705/22230)? -6/29 What is (-5687)/143 - (-648)/(-2808)? -40 (1548/430)/((-2)/5)*-1 + (-1 - -102) 110 Calculate 4*21/(-14)*-6*171/(-324). -19 Calculate (-1 - 67)*16/24 - (-2 + 24/9). -46 Calculate (-2*1735/(-80) - (44 - 6282/144)) + 0. 43 Evaluate 36/90*1590/(-212). -3 What is the value of (7 - 11465/1635)*(0 - 18/12)? 2/109 Evaluate 4280 + -4268 - (-82)/(-4 + 2). -29 What is the value of 48614/(-892) + (-30)/(-20)? -53 What is the value of (1/(-3) + 21/(-45))*(-445)/(-3026)? -2/17 What is the value of ((-188)/266 - (6/21)/(-1))/(-15657 + 15659)? -4/19 Evaluate ((-384)/96)/((-20)/230). 46 Evaluate -1*(-141)/312 + (9/81 - (-245)/(-504)). 1/13 What is 59 - 224/((-1400)/(-25))? 55 ((-46 + 7)*(-11)/11)/(-1 - 4/(-10)) -65 What is ((-27)/1161)/((44/(-33))/4)? 3/43 (-159)/(-4505)*34*40 48 Evaluate 1460/396 + (118872/(-51480) - (-24)/10). 34/9 Calculate (1596/665 - (3242/(-70) - -1)) + 4/14. 48 Calculate (-28)/(-77) + (-43)/172 + (-342)/3432. 2/143 (50 - -1238)/56 + -33 -10 (203/(-116))/((3/(-27))/(-1)*(-72)/96) 21 (-804)/(-7839) + 34620/(-314730) -2/269 What is (26 + 4048/(-154))*2/(-12)*6*175? 50 What is (-2 - 112/(-50))*-10*(-33035)/(-6607)? -12 Calculate (-8)/(-44) + -1*(-4388)/1760 + (-344)/430. 15/8 What is the value of 1 + (10/12 - ((-29369)/(-258) + (-34 - -18)))? -96 What is the value of (-675)/(-216) + (-114)/304? 11/4 What is the value of 81 - 176 - (-8 + 36/3)? -99 552/(-506)*((-1095)/30 + -13) 54 Evaluate (1/((-30)/4))/(2/29 - 64320/87435). 1/5 What is 1 + 285/189 + (2/7)/(-8468 + 8467)? 20/9 Calculate (-1324)/(-60242) + 76/91. 6/7 What is 222/130 - (-2 + 240/104)? 7/5 Calculate (-11)/((-121)/(-198)) - (63 + 7 + 5). -93 What is 3/(9/(-2))*(228 + -227)? -2/3 -6*(-25)/20*414/180*(-8)/3 -46 1 + -4 - (6/3)/(0 - (-2)/(-8)) 5 What is the value of (-285 - -302) + (-394)/22? -10/11 Calculate (-1885)/24505 - 1992/(-39). 51 What is the value of 16 + -220 - (1392 + -1490)? -106 Evaluate (-24676)/(-29295) - 72/84. -2/135 Evaluate ((-12)/(-250) - 0)/((-5172)/8620). -2/25 Evaluate (9900/(-72))/(-11)*(3/(-45))/((-22)/(-48)). -20/11 385/((-181 - -113) + 73) 77 What is (-7385)/(-4550)*-13 - -19? -21/10 What is 11 + 32600/(-680) + 37 + (-365)/(-153)? 22/9 What is 82160/(-2080) + (-1)/2? -40 Calculate (14/((-84)/6))/(32/704). -22 What is (((-33)/132)/(2/(48/28)))/(168/28)? -1/28 ((-2)/(-12))/(383/24 + -19) -4/73 What is ((-6)/48)/(3663/15984)? -6/11 Evaluate (92 - (130 - 46))/((-52)/(-3)). 6/13 ((-826)/532)/59 - (-1365)/(-114) -12 Evaluate ((-24)/(-32))/(243/(-5400)*5)*276/8. -115 What is (322/72 - (-9940)/(-4473))*64/(-6)? -24 Evaluate (-3)/18 + ((-76)/(-24) - 3)/(14/(-84)). -7/6 What is 16/(-7)*33285/85590? -8/9 Calculate (0 - -5)/((-4680)/156). -1/6 What is the value of (80*28/896)/(9/(-234) + 0)? -65 What is the value of 34 - (1715/(-147))/(35/42)? 48 Calculate 18879/465 + 378/70. 46 ((-330)/15 - -17)/(6/(-5) - 3/60) 4 What is the value of 3 + (3/(-12) - 392/160) + (-8022)/2865? -5/2 Calculate (1 - 2)/((-122)/(-488)*(-6)/(-51)). -34 What is (-68)/4 + 128 - (3 + -2)/((-1)/7)? 118 Evaluate 56/147*((-11)/364 + (-8)/104). -2/49 -4 + -1 + (-18*(-10)/1560)/(60/3800) 30/13 Calculate (170/(-935)*26)/((-14)/11). 26/7 Calculate 84/16*(24/(-132) - 235/(-385)). 9/4 What is 80 + (-414 - -432 - (-128)/(-4))? 66 What is the value of 24/((-1080)/(-165))*(-46)/69? -22/9 348/(-108)*(-448 - -439) 29 (753 - 773) + -2 + 38 16 (-1 + 69/63)/(2*(-62)/4092) -22/7 Evaluate (-16)/(7168/84) + (-28905)/(-1840) + -15. 12/23 Evaluate (-4470)/15900 + (1164/(-120) - -10). 1/53 What is the value of 78/(-8)*(-13 - (-1190)/90 - 0)? -13/6 Evaluate (77/308)/(2482/248 + 69 + -79). 31 (-1921)/(-1190)*50 - 144/(-112) 82 Evaluate (10/(-4))/(((-3488)/(-654))/(-3*(-4)/(-90))). 1/16 Calculate (2261/204 - 11)/((-17250)/(-414)*(-1)/5). -1/100 What is (((-2)/(-10) + 0)*7)/((1140/38)/(-150))? -7 Evaluate (56 - 33) + -106 + -6 + -5 + -10. -104 Evaluate 8/10*(157527/966 + (-48)/84). 130 Calculate -7*3/(-90)*((-13088)/(-21268))/(42/13). 2/45 Evaluate (6/(-35))/((-20)/(-150)) - (-10)/(40/4). -2/7 Calculate -700 + 706 + (674/(-134) - -2 - 3). -2/67 Calculate ((-19)/95)/(-7 - (13/5 - 13)). -1/17 1/
{ "pile_set_name": "DM Mathematics" }
osite number? False Is 15259961 a composite number? False Is 14953573 a prime number? True Is 19624505 a composite number? True Is 7039829 prime? True Is 7310283 a prime number? False Is 7281343 a prime number? False Is 13959731 prime? True Is 87265513 prime? True Is 4532529 a composite number? True Is 681823067 composite? False Is 57586951 a composite number? True Is 13595215 prime? False Is 8232941 a composite number? False Is 300992903 a composite number? True Is 72548321 composite? False Is 149105251 composite? True Is 16729186 prime? False Is 129880019 a composite number? False Is 15528371 prime? True Is 403285 prime? False Is 13278563 composite? False Is 45049241 composite? False Is 375743 prime? True Is 26297849 composite? True Is 3654619 composite? True Is 87286055 prime? False Is 195571 a prime number? False Is 267782563 composite? True Is 42157 a prime number? True Is 1370851085 a composite number? True Is 23725439 composite? False Is 4099471 a composite number? 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True Is 168494129 a composite number? True Is 10034813 a composite number? True Is 11940701 a composite number? True Is 6922351 a prime number? False Is 21356411 composite? True Is 26847617 a composite number? True Is 75662347 a composite number? False Is 32392987 prime? False Is 6397211 a composite number? False Is 33879607 a prime number? False Is 71161 composite? False Is 22865173 composite? False Is 1966241 a prime number? True Is 146595586 a composite number? True Is 5655721 prime? True Is 275744374 a composite number? True Is 96318283 composite? True Is 63793831 prime? True Is 88995793 prime? True Is 35116637 a prime number? True Is 10484977 composite? False Is 178945943 composite? True Is 85650821 a composite number? False Is 2189611 a composite number? True Is 33083186 a prime number? False Is 532409 prime? False Is 7853273 a prime number? False Is 2447063 prime? False Is 307568141 a composite number? True Is 10056547 a composite number? False Is 189942323 a composite number? True Is 3585733 a composite number? False Is 482218045 composite? True Is 11878931 prime? False Is 124277 composite? False Is 63161359 composite? True Is 20495366 a composite number? True Is 15143807 prime? False Is 3709939 prime? True Is 212281 a prime number? True Is 4280033 composite? False Is 8497439 a composite number? True Is 331918009 a prime number? False Is 3351 a prime number? False Is 13505714 a composite number? True Is 7622506 a composite number? True Is 19447523 composite? False Is 12527983 prime? False Is 1499149 a composite number? False Is 2952787 prime? True Is 78559 prime? False Is 26834614 prime? False Is 570541 composite? True Is 526123721 a composite number? False Is 26246867 prime? True Is 5748151 a composite number? True Is 45054287 prime? False Is 29783491 a prime number? True Is 8720609 a composite number? True Is 36064943 prime? False Is 7985489 composite? False Is 1097897 a composite number? False Is 61184017 a composite number? False Is 6042719 prime? True Is 3228661 prime? True Is 137760301 composite? True Is 106479239 composite? True Is 6031447 a composite number? True Is 146141 composite? False Is 42944007 prime? False Is 2186059 composite? False Is 2700989 a composite number? False Is 177309893 prime? True Is 573637 a prime number? True Is 1220893 prime? True Is 16918457 a composite number? True Is 127477 a composite number? True Is 130088177 composite? False Is 29650883 composite? True Is 943871 a composite number? False Is 41561519 composite? True Is 2822402521 a prime number? True Is 180416303 prime? True Is 2610969 composite? True Is 20798809 prime? False Is 1815595 composite? True Is 2346791 prime? True Is 18459563 a composite number? False Is 72323021 a prime number? True Is 49529427 a composite number? True Is 1651253 a composite number? True Is 7207469 a prime number? False Is 6881579 a prime number? True Is 9337849 a prime number? False Is 463891469 a composite number? True Is 43840319 a prime number? False Is 3589819 prime? True Is 22823173 a prime number? True Is 91993 composite? True Is 103321765 prime? False Is 43763 composite? True Is 87783509 a composite number? True Is 410136505 a composite number? True Is 2075701 a prime number? False Is 790501 a prime number? True Is 428651 composite? True Is 84516127 a prime number? True Is 368939 prime? True Is 204904097 composite? True Is 50312947 a composite number? True Is 1638079 prime? False Is 5990539 prime? False Is 816469 prime? True Is 785759 prime? False Is 164332367 a composite number? False Is 5900593 a prime number? True Is 1115033 a prime number? False Is 58632421 prime? True Is 1820629 a prime number? True Is 82038119 prime? False Is 3319313 composite? False Is 189912721 a prime number? False Is 58003069 a composite number? True Is 649284653 a composite number? False Is 113017691 a prime number? True Is 998549 prime? False Is 430649 prime? True Is 3618211 prime? True Is 7960991 a prime number? True Is 10041469 a composite number? True Is 1332991 composite? True Is 1614505 composite? True Is 30950327 a prime number? True Is 2893031 composite? False Is 182523093 composite? True Is 622477 a prime number? True Is 8236717 a composite number? False Is 62081839 a composite number? True
{ "pile_set_name": "DM Mathematics" }
+ 5 = d for h. 5 Let t be 2/6 - (-14)/3. Let k = 1 - t. Let q = 4 + k. Solve q = l - 2*l - 1 for l. -1 Let m be 3/(-2)*12/(-9). Suppose 5*a = m*f - 0*f + 25, 0 = -4*f - 4*a + 20. Solve 3*p + 12 = -f*p for p. -4 Let j be -3 + 23 + (0 - 3). Suppose 0 = -3*u - 4*s + j, -u - 4*s = -7 - 4. Solve 10 = u*c + 1 for c. 3 Let o(b) = -b**2 + 3*b. Let a be o(2). Solve -a*t - 12 = -6*t for t. 3 Suppose 2*g = -16 - 14. Let k = 22 + g. Suppose -k*s - 30 = -5*i - 3*s, -s = 4*i - 45. Solve 2*m = 4*m + i for m. -5 Let b be ((-32)/6)/((-6)/18). Solve -b = 5*t - t for t. -4 Suppose 0 = q - 1 - 1. Solve q*b = -b for b. 0 Let o = 28 - 28. Solve o = 5*w + 13 - 33 for w. 4 Suppose 9 = 5*h + 24. Let f = h - -7. Solve 9*o - f*o - 20 = 0 for o. 4 Suppose -4*y + 8 + 12 = 0. Solve -y*x + 6 = -3*x for x. 3 Let h = 60 - 36. Suppose -2*p - 18 + 7 = 3*y, -2*p + 4*y + h = 0. Solve -p*s = 3*s + 25 for s. -5 Let f(z) = z**2 - 4*z + 3. Let d be f(4). Let p be 0*(d - 2) + 0. Suppose 5*l - 30 = 5*b, -l - 2*b + 18 = -p*l. Solve -3*m - l = -8*m for m. 2 Suppose -48 = 4*j + 5*o, -4*j - 2*o - 48 = -4*o. Let k = 17 + j. Solve k*z = -30 + 5 for z. -5 Let f be 2/(-3)*4*(-6)/16. Solve d = f + 3 for d. 4 Suppose -r - 5*f = -23, -5*r - 4*f + 47 + 5 = 0. Solve 12 = -r*x + 11*x for x. 4 Let y(j) = -j**3 - 9*j**2 + 2*j + 5. Let b be y(-9). Let w = -1 - b. Solve 4*u + w = u for u. -4 Let k be (-4)/(8/(-6)) - -17. Solve 0*q + k = -5*q for q. -4 Let s = -1 + 9. Let u be 2/s - (-145)/(-20). Let y = -3 - u. Solve -p = y*p + 10 for p. -2 Suppose -2*z - 12 = -6*z. Suppose -z*k = -22 - 2. Suppose -3*c + 4*i = c, k = c + i. Solve 0 = -4*f + c for f. 1 Let x(l) = l + 9. Let h be x(-8). Let g = h - -3. Let r(c) = c**2 + 4*c + 3. Let p be r(-3). Solve p*k - g = k for k. -4 Let l be 4/6 + 4/3. Suppose -3*y = t + 22 - 3, -2*t = y + 13. Let w = y + 9. Solve w*k = l*k for k. 0 Let o(f) = 3*f - 6. Let i be o(2). Let d(v) = -v**2 + 4*v - 1. Let b be d(3). Suppose 3*u - b*u = i. Solve -5*y + 5 + 5 = u for y. 2 Let v = 7 - 3. Suppose v*z + 1 = 13. Suppose -5*n + 22 = 5*r - 3, -13 = -5*r + n. Solve z*u = -r - 0 for u. -1 Let m be (0 - 1/(-2))*0. Let s = -6 + 9. Suppose -s*r + 45 = -0*r. Solve m*p = 3*p + r for p. -5 Suppose -7*n + 3*n = -32. Solve -b + n = 3*b for b. 2 Suppose -1 = -2*s + 11. Suppose s*v - v = 0. Suppose v = 3*n - 1 - 2. Solve -3*l - n = 2 for l. -1 Let g be -8*-2*3/12. Solve d - g*d = 6 for d. -2 Let j(q) = -q + 4. Let h be j(4). Let o be ((-2)/(-4))/(3/60). Suppose -i + 2*f - 2 = h, -2 = 4*f - o. Solve -g + 2 = -i*g for g. -2 Suppose -4*c = -y - 13, -c + 3*c - 17 = -y. Solve -y*w + 15 = -2*w for w. 3 Suppose 5*d - 4*d = 0. Solve -4*x + d + 16 = 0 for x. 4 Let s(d) = d**2 + 2*d. Let c be s(3). Let w be -6 + 9 - (1 - 1). Solve w*h = -0*h + c for h. 5 Suppose -21*l + 17*l = -20. Solve l*w + 0*w = -15 for w. -3 Let a(y) = -y - 1. Let i be a(1). Let b = 2 + i. Solve b*k = -2*k - 4 for k. -2 Let t(h) = -h**2 - 7*h - 4. Let j be t(-9). Let u = 31 + j. Solve -3*y + 3 - u = 0 for y. -2 Let s = 5 - 8. Let a = 4 + s. Suppose 3*z + 4*j - 46 = -17, 3*z - 2*j + a = 0. Solve z*v + 0*v = -9 for v. -3 Let g be (-2)/(-2) - (-1 - 2). Suppose 0 = -3*a + 10 - g. Solve 2*v + a = 4 for v. 1 Suppose 9*w - 5*w = 12. Solve -6*n = -w*n + 12 for n. -4 Let l(m) = -m - 3. Let t be l(-3). Let u(p) = -2*p**3 - 2*p**2 + 2*p. Let y be u(-2). Suppose -2*n + 6 = -y. Solve t*d = -n*d for d. 0 Let b(i) = -i**3 + 25*i**2 + i - 24. Let o be b(25). Solve 24 + o = -5*s for s. -5 Suppose 0 = -2*j + 4*z + 12, -2*z + 5 + 7 = 2*j. Solve j*f = f for f. 0 Let x = -14 - -17. Suppose -x*h - 12 = -7*h. Solve -h = -d - 7 for d. -4 Let j = 14 + -1. Suppose -3*k = 4 - j. Solve 0 = -k*u + u for u. 0 Let f be 130/(-3)*12/(-10). Suppose 5*h + 22 - f = 0. Solve 0*x + h = 2*x for x. 3 Suppose 33 = 7*u - 4*u. Let t = 11 - u. Solve -n + t*n = -5 for n. 5 Let x be (-100)/(-6)*3/2. Solve -x = -3*s - 2*s for s. 5 Let q be (-12)/54 + 60/27. Solve -q*a + 5 - 3 = 0 for a. 1 Suppose 5*b = 5*p - 5, 0*p - 2*b + 4 = -p. Suppose t = 3*x - 5*x + 7, -x = t - p. Solve -t = 2*u - 1 for u. -2 Let v be (-2)/(0 - 0 - 2). Suppose -2*n = -5 - v. Let l = 9 - n. Solve 4*k - 2*k = l for k. 3 Let m be 18/15 + 33/(-15) + 3. Solve 5 = -m*f + 9 for f. 2 Suppose 6*i - 5*i + 4 = 4*b, -5*b = -3*i + 2. Solve 3*y = -b - 7 for y. -3 Let n be (-4)/(-12) + 17/3. Let y be n/3 + -2*1. Suppose y*c = c - 2. Solve -10 = -7*q + c*q for q. 2 Let f(u) = u**3 - 5*u**2 - 8*u + 15. Let n be f(6). Let a(s) = -s**3 - 3*s**2 + 2*s - 4. Let l be a(-4). Solve l*q - q = -n for q. -1 Let m be (-1 + 1)*3/((-18)/(-2)). Solve 3*z = -m*z for z. 0 Let d(m) = -m**2 + 4*m. Let o be d(4). Let n = 3 - o. Suppose -z + 2*z = 5*p, n*p = 2*z - 7. Solve -p = r + 2 for r. -3 Let r = 25 + -25. Solve 2*j = -r*j - 4 for j. -2 Suppose -3*w = 2*c - 1 - 4, w - 2*c = -9. Let j = w + 11. Solve 0*m = 5*m - j for m. 2 Let k = 1 - -2. Suppose -x - 2 = -3*x + 4*p, -4*p = k*x - 13. Solve -i + 1 + x = 0 for i. 4 Let c be (1 - 2)/((-1)/3). Suppose 3*w = -w - u + 5, -15 = -c*u. Solve 6*q - 4*q - 4 = w for q. 2 Let h(t) = -t**3 - 7*t**2 - 12*t - 6. Let j be h(-5). Solve j*o - 7 - 9 = 0 for o. 4 Let u = -8 + 7. Let a be 8 + (1 - (-4)/u). Solve 5*h + 5 = -a for h. -2 Let j(f) = -f**2 + 8*f + 10. Let x be j(9). Solve -5*y + 11 = x for y. 2 Let x(b) = 2*b**3 + 37*b**2 + 20*b + 36. Let n be x(-18). Solve 0 = -2*v - n*v + 8 for v. 4 Let z be (-1)/(-3) + 1/(-3). Suppose 3*t + 13 = 4*c - 1, -12 = -3*c + 3*t. Solve z = 4*j - 2 - c for j. 1 Let k = -6 - -10. Suppose 2*s - k = 4. Let y be 2 + 4 + -2 + 8. Solve 4*o = -s - y for o. -4 Let d(g) = -4*g. Let z be d(-1). Solve 0*o - z*o + 12 = 0 for o. 3 Suppose 2*t + 4 = 4*l, l - 3*t + 4 = -0*t. Solve -2*k + 4 - l = 0 for k. 1 Let f = -10 - -11. Suppose 0 = -4*g - 5*l - 26 + f, -4*g + l + 5 = 0. Solve -i - i = g for i. 0 Let f(m) = -2*m**3 + 3*m**2 - 2*m + 3. Let j be f(2). Let v be -1*(3 + j - 3). Solve -3 = -v*o + 7 for o. 2 Let k(g) = -g**2 + 1. Let c be k(2). Let r be (c + 1)/(-1)*2. Solve 7*j - r*j = 6 for j. 2 Let v(l) = l**2 + 2*l**2 - 3 - 4*l**2 + 6*l. Let n be v(4). Solve -4*m = -n*m - 4 for m. -4 Suppose 1 = -2*q - 3*x + 59, 4*q + 3*x - 122 = 0. Suppose q = 5*m - m. Solve -5*i = -i - m for i. 2 Let p(h) = 0*h**2 + h**2 + 0*h**2 - 7*h + 9. Let u be p(7). Let o be 240/72*6/5. Solve o*l + u = -3 for l. -3 Let t be -1 - (3 - 15)/2. Let w be 2/(-1) - (-2 + -3). Suppose -4*g - 3*r + 33 = 0, g = w*g + 5*r - 27. Solve -k = -g*k + t for k. 1 Let i(k) = -k**2 + 9*k - 6. Let h be i(8). Suppose -r - 2*w = 2*w + 18, -h*r - 3*w = 11. Solve 0 = r*b - 0 + 8 for b. -4 Let f(w) = -3*w - 15. Let m be f(-6). Solve -m*c = -6*c for c. 0 Let y be (-1)/(-3) - (-5)/3. Suppose 0 = b + y*b. Suppose 38 = p - 0*l - 3*l, b = -3*l - 15. Solve 3*m = -8 + p for m. 5 Let k = 8 + -8. Suppose -4*s = -c - 7*s + 6, 4*c - 2*s + 18 = 0. Let a be -2*(-4)/(-6)*c. Solve 4*u + k = a for u. 1 Let a be 1*(-2 - -2) - 2. Let j(b) = -3*b - 1. Let g be j(a). Suppose -5*t + 5*i = -32 - 83, -g*t = -2*i - 106. Solve -2*r - t = 3*r for r. -4 Suppose 15 = -o + 6*o. Suppose 2*y + 6 = o*y. Suppose -y = -s - s. Solve -s = -2*u - 1 for u. 1 Let m(k) = -1. Let h(w) = w**2 + 10*w + 13. Let u(i) = -h(i) - 4*m(i). Suppose a + 3*a = -24. Let t be u(a). Solve -3*y = -8*y - t for y. -3 Let i(r) = -2*r - 4. Suppose 0 = 2*j + c - 5*c + 4, 3*j + 5*c = -28. Let v be i(j). Let q(d) = d**2 - 7*d - 4. Let a be q(v). Solve -a = 5*z + 6 for z. -2 Let b(j) be the first derivative of j**2/2 - 8*j + 3. Let w be b(11). Solve w*h + 0 = -6 for h. -2 Let l = 2 - 2. Let h(s) = -s + 20. Let w be h(l). Let a = 8 + -4. Solve -a + w = -4*g for g. -4 Suppose -3*j = 2*h + 11, -j - 3*j = 4*h + 16. Let d be (-12)/2*1/j. Let s(q) = -q + 3. Let a be s(0). Solve 10 + d = a*c for c. 4 Let r = 8 - 3. Suppose -r*t + 4*t = -10. Solve 3*q - q = -t for q. -5 Suppose 3*m + 30 = -5*c, 0 = -0*m + 2*m - 2*c + 4. Let t = m - -8. Suppose -6*g = -3*g. Solve -6 = -g*z - t*z for z. 2 Let q(f) = -5*f - 28. Let j(y) = y + 7. Let i(m) = 9*j(m) + 2*q(m). Let l = -10 - -14. Let r be i(l). Solve r*a - 16 = 7*a for a. -4 Let x be (-116)/(-8) - 2/4. Solve 4*i + x = -6 for i. -5 Suppose 3*o = -4*m + 12, -4*m + 26 = 4*o + 10. Suppose 4*h - 5 - 3 = m. Solve k + h = -k for k. -1 Let a be (-57)/15 + (-2)/10. L
{ "pile_set_name": "DM Mathematics" }
+ s**2 Expand (-6*z + z + 3*z - z + 0*z + 0*z + (-4*z + 0*z + 6*z)*(-1 + 0 - 1) + z + 0*z - 2*z)*(0*z**2 - 2*z**2 + 0*z**2) - 6*z**3 - z**3 + 4*z**3. 13*z**3 Expand (0 + 3 - 4)*((-z + 3*z + 0*z)*(-3 - 1 + 2) + 3*z - 2*z + 6*z). -3*z Expand (0 - 4 + 8)*(-6 + 2 + 5)*(3*f + 2 - 2) - 2*f - 1 + 1. 10*f Expand (11 - 11 - 15*o**2)*(0*o**3 - 5*o**3 + 4*o**3). 15*o**5 Expand (t**3 + 4*t**3 - 6*t**3)*(24 - 5 + 11). -30*t**3 Expand (-2*j**3 + 4*j**3 - 4*j**3)*(-3 - 8 - 26). 74*j**3 Expand (0 + 0 + 1)*(7*y**3 - 25*y**3 - 24*y**3). -42*y**3 Expand (0*f + 5*f - 3*f)*(f + 0*f + f)*(-3 + 1 + 0)*(5 - 2 - 2). -8*f**2 Expand (1 + 1 + 0)*(-1 - 3*o + 4 - 1) - o + 2*o + o. -4*o + 4 Expand (-2*m + 3*m + m + (1 - 1 + 1)*(1 - 2*m - 1) - 3*m + 0*m + 2*m + 3*m + 2*m - m)*(-3*m**3 - 4*m**3 + 5*m**3). -6*m**4 Expand -6*t**3 + 3*t + t - 3*t + (-24 + 24 + 2*t**2)*(2 - t - 2). -8*t**3 + t Expand -b**4 - 4*b**4 + 4*b**4 + (3*b**3 - 2*b**3 - 3*b**3)*(-b - 3*b + 2*b) - 2 + 0 + 3 + 13*b**4. 16*b**4 + 1 Expand (-2 + c**3 + 2)*(7*c**2 - 8*c**2 + 8*c**2). 7*c**5 Expand (0*b + 4*b - 2*b)*(2 + 0 - 3)*(3 - 1 - 1). -2*b Expand (-4*b**2 + 3*b**2 + 0*b**2)*(-4 + 1 - 3). 6*b**2 Expand (-2*n**3 + n - n)*(-4822*n + 45*n**2 + 4822*n). -90*n**5 Expand (0 - 1 - 1)*(-v**3 + v**3 - 2*v**3) - 8*v**2 - 6 + 6 - 2*v**3. 2*v**3 - 8*v**2 Expand (-k**4 - 2 + 2 + (4*k - 4*k - k**4)*(-3 + 4 - 3) + 0*k**4 + 5*k**4 - 3*k**4 - 11*k**4 + k**4 + 4*k**4)*((-k + k - k)*(-4 + 5 - 2) - 2*k + k + 1 + 2*k). -6*k**5 - 3*k**4 Expand (-y - 4*y + 3*y)*(y + 0 + 0) - y**2 + 0*y**2 + 0*y**2 + (-9 + 7 - 10)*(-y**2 + 0 + 0). 9*y**2 Expand (-q**2 - 6 + 9 + 2*q + 0*q)*(-4*q**2 + 2*q**2 + 5*q**2). -3*q**4 + 6*q**3 + 9*q**2 Expand (-1 + 3*o - o + 2*o)*(3*o + 2*o - 6*o). -4*o**2 + o Expand (-r**4 + 0*r**4 + 0*r**4)*(-2 + 5 - 1 + (-2 + 0 + 1)*(-4 + 1 + 1))*(1 - 15 - 7). 84*r**4 Expand (1 + 0 - 2)*(-274*r - 36*r**2 + 274*r). 36*r**2 Expand 2 - 11*k**3 - 9 + 6 + (k**2 + 3*k**2 - 5*k**2)*(2*k - 6*k + 3*k) - 5*k**3 + 4*k**3 - k**3. -12*k**3 - 1 Expand (3*m**3 - 2*m**3 - 2*m**3)*(2 + 1 - 1)*(-2*m + 0*m + 6*m). -8*m**4 Expand (2*h**3 - 2*h**2 + 2*h**2)*(-5 + 2 + 1) + 4*h**3 - 2*h**3 + 0*h**3 + (-h**2 + 0*h + 0*h)*(2 - 2 + 2*h). -4*h**3 Expand (a - 5*a + a)*(2*a**2 + 2*a**2 - 2*a**2) + 2*a**3 + 0*a**2 + 0*a**2 + 89*a - 10*a**3 - 89*a. -14*a**3 Expand (0*y**3 - 2*y**3 + 4*y**3)*(4 - 4*y - 4 + (4 - 2 - 1)*(5*y - 3*y - y) + y - y + 2*y). -2*y**4 Expand -2*u**5 - 3 + 3 + (-2*u**3 - 3*u**3 + 0*u**3)*(-7*u**2 + 3*u**2 + 2*u**2). 8*u**5 Expand (-9*i**2 + 26*i - 26*i)*(4 + 3*i - 4) + 2*i**3 - 2*i**3 + i**3. -26*i**3 Expand (1 + 2 - 2)*(-2*y - 4*y + 4*y + (1 - 2 + 2)*(0 + 0 - 2*y) - y + 0 + 0). -5*y Expand (-2*u + 4*u + 2*u)*(0 - 1 - 4)*(-1 + 1 + 2). -40*u Expand (-2*d + 3*d + d)*(-7*d**3 + 0*d**3 - 3*d**3). -20*d**4 Expand (5*f + f - 3*f + (4 - 3 - 2)*(3*f - 3*f - 2*f) - 2*f + 0*f + 4*f)*(-f**4 - 3*f**4 + 0*f**4). -28*f**5 Expand (-4*z**2 + 4*z**2 + 2*z**2)*(4*z - 11*z + 88*z) - 3*z**2 - z**3 + 3*z**2. 161*z**3 Expand (d - d + 3*d)*(0*d + 6*d - 4*d)*(-d - 12*d + 0*d). -78*d**3 Expand (0*j + 0*j + 2*j**2)*(1 - 4 + 2)*(3 + 4 - 4). -6*j**2 Expand (-1 + 1 + 2 + (3 - 1 + 0)*(-5 + 2 + 1))*(-2*n + 2*n - n) + n + 2 - 2 - n + 4*n - 2*n + (-3 + 3 + 2*n)*(-1 - 4 + 3) + 2*n - n + 0*n. n Expand (0 - 6*p + 0)*(-p - 2*p + 2*p + (-3 + 2 + 0)*(-3*p + 2*p - p)). -6*p**2 Expand (-2 + 2 - 2*n)*(n**2 + 3*n - 3*n) + 2*n**3 - 2*n**3 - 2*n**3 + 4*n**3 - 4*n**3 + n**3 + 0*n**3 + 9*n**3 + 5*n**3. 11*n**3 Expand (-2 + 1 + 3)*(-2 + 2 - 1)*((2 + 2*h**2 - 2)*(-3 + 4 + 0) + 5*h**2 + 0*h**2 - 2*h**2). -10*h**2 Expand (6 + 3 - 5)*(2*g**3 - 4*g**3 + 10*g**3). 32*g**3 Expand -n - 3 + 3 + (n - n - 2*n)*(-1 + 0 + 0) + n - 4 + 4 + 2 - n + 5*n - 3*n. 3*n + 2 Expand (4 - 3 + 1)*((-1 - 2 + 2)*(-n**2 - n**2 + n**2) + 0*n**2 + 3*n**2 - n**2 - 2*n**2 + 5*n**2 + n**2). 14*n**2 Expand (a**2 + a**2 - a**2)*(-2*a**2 + a**2 + 0*a**2 + (1 + 3 - 2)*(4*a**2 + 0*a**2 + 0*a**2) + 5 - 4*a**2 - 5 - 2*a**2 - a**2 + a**2). a**4 Expand (-t**2 - 2*t**2 + t**2)*(t**2 + 2*t**2 - 5*t**2) - 11*t**4 + 9*t**3 - 9*t**3 + (2 + 1 - 1)*(t**4 + 4*t**4 - 4*t**4). -5*t**4 Expand (5*m - 3 + 3)*(14*m - 5*m + 3 - 4*m). 25*m**2 + 15*m Expand (-1 - p**2 + 1)*(-2*p + 0*p - p + (0 - 2 + 3)*(4*p - 5*p + 2*p) - 4*p + 3*p - 2*p)*(0*p + 0*p + 2*p**2). 10*p**5 Expand (0 + 2 + 5)*(5*u + u**2 - 5*u). 7*u**2 Expand 5*m - 2*m - m + (0*m + 3*m - m)*(0 - 1 - 1). -2*m Expand 0 - 2*f**2 + 0 + (-1 - 1 + 5)*(-5 + 2*f**2 + 5). 4*f**2 Expand (-n**3 + n**3 + 3*n**3)*(6*n - 4*n - 3*n) - 3*n**2 + 2*n**2 - n**4 + 5*n**2. -4*n**4 + 4*n**2 Expand (-1 + 1 + p**2)*((-3 + 4 + 0)*(-2*p + 4 - 4) - 3*p - 2*p + 2*p). -5*p**3 Expand 4*w**2 + w - 2*w**4 - 4*w**2 + (-w**2 - 3 + 3)*(-3 + 3 + 4*w**2). -6*w**4 + w Expand (-2 + 2 - 6*s)*(-3*s**3 + 2*s**3 + 0*s**3) + 2*s**4 - s + s - 5*s**4 + 2*s**4 + 4*s**4. 9*s**4 Expand (2*n - n**3 - 2*n)*(-4*n + 1 + 7*n**2 + 0*n**2 - 3*n**2). -4*n**5 + 4*n**4 - n**3 Expand -3*n**3 - 1 + 1 + (-3 + 3*n**2 + 3)*(6*n - n - 2*n). 6*n**3 Expand -47*c**4 + 47*c**4 + 3*c**5 + 2*c**3 + (-c**2 + c**2 - c**3)*(-c**2 - 2*c + 2*c). 4*c**5 + 2*c**3 Expand -2*j**2 + 4*j**2 - 5*j**2 + (-3*j + 0*j - j)*(2*j + 0 + 0). -11*j**2 Expand (0*w - 2*w + 2 - 1 + 4*w - 3*w + 0*w + (1 - 2 - 1)*(-2*w - 1 + 1) + w - w - w)*(2*w - 3*w + 3*w). 4*w**2 + 2*w Expand -a**4 + 2*a**4 - 2*a**4 + (-4*a + 4*a + 2*a)*(4*a**3 - 5*a**3 + 3*a**3) + a**4 + a**2 - a**2 + (2 - 5 + 1)*(2*a**3 - 3*a**3 + 5*a**3)*(-2*a - 1 + 1). 20*a**4 Expand (-11 - 16 - 4)*(a**5 + a - 2*a + 0*a**5). -31*a**5 + 31*a Expand (3 + 0 - 1)*(-s**2 - s**2 + s**2) - 8 + 8 + s - 24*s**2. -26*s**2 + s Expand (-23*r + 23*r - 10*r**2)*(r + 3*r + 0*r). -40*r**3 Expand (4*l**2 - 2*l**2 + 3*l**2)*(-l + 3*l - l). 5*l**3 Expand (8*f - 3*f + 2*f)*(4*f + 2*f - 5*f). 7*f**2 Expand -10 - 9*x + 2*x**2 + 10*x + 1 + (-3*x**2 + 3*x**2 + 2*x**2)*(-3 + 0 + 5). 6*x**2 + x - 9 Expand (-21 + 12 - 7)*(5*o - 2*o - 2*o + o + 0*o + o + (-1 + 4 - 5)*(-4*o + 0*o + 6*o)). 16*o Expand (3*p - 3*p + 2*p**3)*(15 - 10 - 76). -142*p**3 Expand (-2*k - 2*k**2 + 2*k)*(3 + 0 - 4) + 4*k**2 - 2*k + 2*k. 6*k**2 Expand -4*o + o + o + (43 + 42 - 105)*(-2*o + 2*o - o). 18*o Expand (-50 - 3 + 26 - 49)*(3*v - 4 + 4). -228*v Expand (0 - 2 + 3)*(-3*c - 2*c + 2*c). -3*c Expand (10 + 12*d - 10)*(-3*d**3 - 5 + 5). -36*d**4 Expand -k**3 - k**3 + k**3 + (k + k - 4*k)*(-k**2 + 2*k**2 - 2*k**2) + 0*k**3 - 4*k**3 + k**3. -2*k**3 Expand (3*u + 3 - 4*u - 15)*(1 + 1 - 3). u + 12 Expand (47*y**2 + 17*y**4 - 46*y**2 + 6*y**4)*(-4 + 0 + 3). -23*y**4 - y**2 Expand (-10*n**2 - 3*n**3 + 9*n**2 - 2 - 2*n**3)*(3 - 3 + 6*n). -30*n**4 - 6*n**3 - 12*n Expand (0*r**2 - r**2 + 3*r**2)*(5 + 5*r**3 - 5) + (0*r**3 - 3*r**3 + 2*r**3)*(-3*r**2 - 3*r**2 + 7*r**2). 9*r**5 Expand ((-5 + 3 + 0)*(-3 + 1 + 4) - 3 + 1 + 0)*(-3*k + 0*k - 6*k). 54*k Expand (0*j + 2*j**2 + 0*j)*(5*j + 0*j - 16*j) - 2*j**2 + 2*j**2 - 2*j**3. -24*j**3 Expand (-5*j**2 - 2*j**2 + 5*j**2)*(-4 + 4 - 2*j) - 8*j**3 - 2*j**3 - 15*j**3. -21*j**3 Expand s**4 - 2*s**4 - s**4 + 2*s**4 - 4*s**4 - 2*s**4 + (3*s**2 + 0*s**2 - 2*s**2)*(2*s**2 + s - s) + (-4 + 4 + s**2)*(-s**2 - 4*s + 4*s). -5*s**4 Expand (2 + 1 - 2 + (-6 + 2 + 3)*(-1 + 8 + 5))*(-i**3 + 3*i - 3*i) + i**3 - 2*i**2 + 2*i**2. 12*i**3 Expand d**3 + d**3 - d**3 + (-2 + 2 - 2*d)*(0 + 0 - d**2) - 5*d**3 + 0*d**3 - 2*d**3 + (-d - d + d)*(3*d**2 + 0*d**2 - 4*d**2). -3*d**3 Expand 2*f**3 - 7*f**4 - f**4 - f**4 + 3 - f**4 - 3 + (-3*f**3 - f**3 + 3*f**3)*(f - f + 2*f) + 4*f**4 - 2*f**4 + 0*f**4. -10*f**4 + 2*f**3 Expand 0*y + 0*y - 5*y**3 + (2 + 3 - 6)*(y**3 - 3*y**3 + y**3) - 3*y**3 + y**3 + y**3 + 2*y**3 + 2*y**3 - 3*y**3 + (0*y + 0*y - 2*y**3)*(-1 + 5 - 2). -8*y**3 Expand (-3*u**2 - 2*u + 2*u)*(4 - 5 - 6). 21*u**2 Expand (-4*s**2 + 2*s**2 + 0*s**2)*(0*s + s + 0*s - 2*s - s + s + (1 + 3 - 3)*(0 + 0 - 2*s) + 4*s + 0*s - 5*s + 1 - s - 1 + 3 - 3 - 2*s + 3*s + s - 14*s). 34*s**3 Expand (-3 - 1 + 3 - l)*(-29*l + 8*l**4 + 29*l). -8*l**5 - 8*l**4 Expand (5 + 5*r - 5)*(-2 + 3 - 2). -5*r Expand m**2 - 3 + 3 + (m**2 + 2*m - 2*m)*(1 + 5 - 3) + 0*m**2 - 2*m**2 + 0*m**2 + (2 - 4 + 8)*(-2*m**2 + 3*m - 3*m). -10*m**2 Expand (-2*z**2 - 2*z**2 + 3*z**2)*(5*z + 0*z - 3*z) + (-2*z + 0*z - 2*z)*(-2 - z**2 + 2). 2*z**3 Expand (-4 + 3 - 3*t + 0)*(-3*t + 3*t + 2*t)*(t**2 - 4*t
{ "pile_set_name": "DM Mathematics" }
0.1? u Suppose -5*d + 3*b + 33 = 95, -3*b = -d - 22. Let r be 140*4/(-2 - d). Let f be 144/r - (-3 - -5). Is f smaller than 1? True Let n = -2766/13 + 212. Let s = 37/65 + n. Let y = 24 + -24. Which is smaller: s or y? s Let b be (-3)/(6 - 9)*9. Which is bigger: b or 14? 14 Let k be (-3)/(-1) + 33 + 1. Let f = -817/22 + k. Is 0 less than f? False Let p = 721 - 720. Let z be -3 - (8/(-3) + -1). Is p <= z? False Suppose 3*a + 3*p + 54 = 0, -3*a + a + 3*p = 31. Are a and -88/5 nonequal? True Let t = -113 - -115. Suppose -t*z = 9*z - 2*z. Is 6/5 at least as big as z? True Let w = 4/93 - -457/186. Let u = 4 - 8. Let b(o) = -o**3 - 3*o**2 + 4*o + 4. Let g be b(u). Is g at most as big as w? False Let b(y) = 2*y + 2. Let m be b(-1). Is 3/770 not equal to m? True Suppose 41 = -4*m + 17. Let r = m + 4. Which is bigger: r or -8/9? -8/9 Let m = 462 - 507. Which is bigger: m or 9? 9 Suppose -s - 3*t + 2 = -2*s, -6 = -4*s + 5*t. Suppose c + 5*y = 5, -s*c + 0*y - 22 = -y. Let n be (-2 - 1)*c/3. Is n less than 1? False Let m(i) = i + 2. Let g be m(-20). Is 0 greater than g? True Let u = -84 + 97. Let v be (-68)/(-18) + -17 + u. Is v at least 1? False Let i = 22 + -15. Let j = 2/3577 + 26570/3577. Which is bigger: j or i? j Let k(c) = c + 19. Let z be k(-18). Let v = 91495/78 + -1173. Is z < v? False Let f be ((-18)/(-189) + 3/(-7))*-213. Which is greater: f or 72? 72 Let x be (-7 + 216/30)*5. Is 4/5 <= x? True Let o(l) = -3*l + 69. Let g be o(8). Which is smaller: 134/3 or g? 134/3 Let o(d) = d**2 + 3*d - 6. Let p be o(3). Are 10 and p unequal? True Let c be (-3 + (-166)/(-54))*(-30)/(-35). Which is greater: c or -1? c Let p be ((-63)/(-6))/7*(-4)/69. Let n = -199/92 + p. Is -3 at most n? True Let h = -10.1 + 10.154. Which is smaller: -1 or h? -1 Let r = 5 - 3. Suppose 0 = -3*y + b, y - r*b = 2 + 3. Let x = 9/5 + -68/35. Which is bigger: y or x? x Let r = 377 - 377.02. Is r less than -7? False Suppose 0 = -3*a + 6 - 9. Which is smaller: a or -3/2? -3/2 Let g = -3/184 - -6823/920. Are 7 and g equal? False Let u = 19 - 21. Let o = -14 - u. Is o <= 0? True Suppose -3*x + 12 = -2*d, -5*d - x = -0 - 4. Let l(g) = g**2 + 8*g + 10. Let t be l(-7). Let z = t + -3. Is d less than z? False Let c = -1314/299 - -25/23. Let m = c + 98/65. Is -2 at most m? True Let k(o) = 34*o**3 - o. Let d be k(-1). Let g be (d/(-22))/(2/(-12)). Let i be 26/g + -8 + 11. Does i = 0? False Let x = 9 + -7. Let o be (-2)/(1/(-6)*-4). Let i be o - 4/24*-14. Is x at least i? True Let r = 2453 - 2453. Suppose 0 = m - 3*m + 94. Do m and r have different values? True Let l = 499 + -499.5. Let j = 7 + -6.92. Which is greater: l or j? j Let j = -114.95 + 120. Let v = -10 + 15. Let d = j - v. Which is smaller: d or 2? d Let h be (390/130)/(6/(-4)). Suppose 0 = -4*n - 79 + 11. Is n at least as big as h? False Let k(r) = -23*r - 233. Let s be k(-15). Are 113 and s unequal? True Suppose 8*w - 360 = -56. Which is greater: 37 or w? w Suppose 4*g + 2 = 2*r - 2, 0 = 2*g - 2*r - 2. Let f be 20/15*g - 0. Let a be ((-32)/(-36))/f + 0. Which is smaller: a or 1? a Let t be 10/(-4) - (-7567)/3036. Are 0 and t equal? False Let p be 118/531 + (-194)/(-18) + -3. Which is bigger: p or 41/5? 41/5 Let a = -0.107 + 5.047. Let u = a + 0.06. Let p = u + -5. Which is greater: -13 or p? p Let n = 7 - 28. Let j = n - -25. Suppose 4*y - j*m - 12 = -5*m, -3*m = 5*y - 8. Is y greater than or equal to 4? True Let r(q) = -q**2 + 9*q + 33. Let d be r(0). Is -0.12 greater than d? False Let r = -13 + 21. Let h be (4/(-4))/1*r. Let q(p) = p + 8. Let w be q(h). Are -6/7 and w equal? False Let y be (-12 - -5) + 67/(-17). Which is smaller: -10 or y? y Let i = 482 + -478. Let b = -8 + 11. Suppose -x + b + 0 = 0. Which is bigger: i or x? i Suppose 0 = 8*s + 16 - 208. Which is smaller: -11 or s? -11 Let w = -179.168 + 3.468. Are w and 0.1 unequal? True Let u be 10*(0 + -3)/(-6). Suppose 2*y - y - 25 = -u*j, -20 = -4*j + 4*y. Suppose 4*l - 2*g - 28 = -g, j*g - 20 = 0. Is l bigger than 8? False Suppose -4*i - 8 = 0, 7*k - 4*k - 2*i - 4 = 0. Is -1/15 greater than or equal to k? False Let y(j) = -j**3 + 16*j**2 + 4. Let t be y(16). Suppose -57 = -t*l - w, 2*l - 3*w - 40 = -1. Which is smaller: l or 0? 0 Suppose 12*y - 16*y - 24 = 0. Let a(j) = -2*j**2 - 16*j - 21. Let w be a(y). Is 3 equal to w? True Suppose -6*h - 35 + 41 = 0. Let i be -2*(2 + -1) + 2. Suppose 4*r - 4 + 0 = i. Is h greater than or equal to r? True Suppose -2*c + 3*v + 55 = 0, -53 = -0*c - 2*c + 5*v. Let a = -22 + c. Let r = 2 + a. Do r and 6 have the same value? False Let g = -28 - -15. Let t = 1 + g. Let s = t - -12. Which is greater: -8 or s? s Let y(m) = m**3 - 5*m**2 + 6*m - 3. Let h be y(4). Suppose h*o - q = -120, -5*q - 37 = o + 13. Let z = o + 27. Is 4/3 > z? False Suppose 0 = -4*s + z + 2, 10*z - 11*z + 3 = s. Which is greater: 519 or s? 519 Suppose 7626 + 899 = -25*g. Does g = -341? True Let i = 2924.7 - 2925. Let d = 10.5 - -3.5. Which is bigger: i or d? d Suppose -4*w = -5*w - 114. Let s = -1712/15 - w. Is -2 equal to s? False Suppose -b - 6 = -15. Let r(t) be the first derivative of -5*t**2/2 + 73*t - 46. Let h be r(13). Which is smaller: h or b? h Let t be 2/17 + (25084/68 - 0). Which is smaller: 0 or t? 0 Let b = 106 + -32. Let d = b - 73. Which is smaller: -0.2 or d? -0.2 Suppose -1635*y + 638 = -1624*y. Is 54 > y? False Suppose 2*w = -3*o + o + 12, -o = -5*w - 6. Let r(a) = -a**2 - 14*a + 99. Let i be r(-19). Is o at most as big as i? False Let u = -203 - -203.3. Is -0.06 less than u? True Let y = 279 + -278. Is y <= -146? False Let o be 23/((-552)/(-16))*(-6)/4. Is o greater than -3/41? False Let i = 346 + -346. Is i != 20/37? True Let i = -906 - -1217. Which is bigger: 312 or i? 312 Let v = -2.59 - -0.19. Let q = 4.7 + v. Do -2/7 and q have different values? True Let b(c) = c**3 + c**2 + 2*c + 2. Let d be b(-2). Let i be (-12)/d*(-2 + 18). Is 32 at most as big as i? True Suppose 2*d = 3*d - 2. Suppose d*y + 3 = 5. Let m = -3.07 + 0.07. Is m less than y? True Let o = 20 - 36. Let q = o - -16. Is q greater than or equal to 3? False Let f = 67 + -67. Suppose -4*w - 15 = -5*p + 11, f = w - 1. Is p not equal to 6? False Suppose -5*c - 1 = -1. Let z be (3 - (-82 - -5)) + c. Is z at most 81? True Suppose -9 = 5*z - q, -2*z - 2*q = q - 10. Do -24/127 and z have the same value? False Suppose 5*l = -59 + 14. Let b be 3/l*(0 - 3). Which is bigger: b or -1/8? b Suppose -2*x + 16 = 2*x. Suppose 2*v + x = 6. Is 3/10 equal to v? False Let y = 16 + -18. Let p be y/2*(-9)/39. Which is greater: p or -1? p Let y = -22 - -108/5. Is y smaller than -110/3? False Let z be ((-60)/(-210))/((-797)/(-7)). Which is greater: 0 or z? z Suppose 17 = 4*w - 3. Suppose -25 = 5*k, 2*n - w*k - 15 = 10. Which is smaller: n or 1/98? n Let a = -54 + 51. Let q(l) = l**2 - 2*l - 1. Let j be q(2). Let b = j + -2. Is b at most a? True Let w be 2/7 + (-13)/(91/(-264)). Is w > 3? True Let m be (49/(-14) - -3) + (-44)/(-56). Does m = 61? False Suppose -3*k = -4*x - k + 64, -k = 4*x - 64. Suppose 0 = -s - s + x. Let w be ((-2)/4)/((-14)/s). Is w at least 5/3? False Let q(y) be the second derivative of y**3/6 + 3*y**2/2 + 12*y. Let m be q(-1). Let b = 1.8 + -2. Is b smaller than m? True Let w be (0 + (-2)/(-4))*-8. Suppose 2*z = -2*t + 5*z + 32, -7 = -t - 3*z. Let l(x) = x**3 - 12*x**2 - 12*x - 17. Let y be l(t). Is w > y? False Let d = 1218 + -1218. Is d at most as big as -5/96? False Let x = -47 - -45. Is x > 82? False Let x = -2.2 - -18.2. Let j = 16 - x. Let q = 0 + -0.03. Which is bigger: j or q? j Let z be 5956/(-28) - (8/7)/4. Is z less than or equal to -213? True Let a = -5.53 + 0.63. Let u = 4.8 + a. Which is greater: u or -2/27? -2/27 Suppose 24 = 8*u + 8. Let q be 153/15 + u/(-10). Does 11 = q? False Let k = 341/1413 + -3/157. Which is greater: k or -4? k Suppose -45 - 54 = -3*z. Suppose -3*k - 31 = r, -z = 6*k - k - 3*r. Which is smaller: -8 or k? k Let b = 41/27 + 73/432. Which is bigger: 2 or b? 2 Let j(m) = -m**3 + 12*m**2 - 11*m + 1. Let k be j(11). Let p be (23/7 + -3)/k. Which is bigger: 0 or p? p Let t = -34 + 24. Let s = t - -9.9. Suppose 1 = -3*x - n - 22, -2*n = -8. Which is bigger: s or x? s Suppose 0 = 4*w - 83 + 87. Let h = w - -7/5. Which is smaller: 22/5 or h? h Let l = -2
{ "pile_set_name": "DM Mathematics" }
*(m + 2)/15 Let m(n) be the first derivative of n**6/72 + n**5/4 - 88*n**3/3 - 103. Let p(c) be the third derivative of m(c). Suppose p(u) = 0. Calculate u. -6, 0 Let v(j) be the first derivative of -j**5 + 570*j**3 + 5500*j**2 - 12705*j + 4138. Suppose v(q) = 0. What is q? -11, 1, 21 Let p be (191002/(-45510))/7 + (-33)/(-55). Let a = 63704/22755 + p. Determine v, given that a*v - 4/5 + 18/5*v**2 = 0. -1, 2/9 Let u(g) be the second derivative of g**5/4 - 5*g**4/2 - 85*g**3/2 - 110*g**2 - 1545*g - 1. Determine o, given that u(o) = 0. -4, -1, 11 Let w(a) be the second derivative of -a**7/189 + 2*a**6/27 - 17*a**5/90 + 4*a**4/27 - 5095*a. Find f such that w(f) = 0. 0, 1, 8 Suppose 0 = -h + 286 - 78. Let w = h - 154. Find l, given that -1/4*l**3 + 9/2*l**2 + w - 27*l = 0. 6 Suppose 1580 = 2*p + 13*z - 15*z, 0 = -5*p - 5*z + 3970. Let y be -6*11/p - (-50)/24. Factor -10/9*v**3 + 2/3*v**y + 2/9*v**5 + 0 + 0*v + 2/9*v**4. 2*v**2*(v - 1)**2*(v + 3)/9 Determine c so that 0 + 1104/7*c**2 + 1128/7*c**3 + 0*c + 6/7*c**5 + 300/7*c**4 = 0. -46, -2, 0 Suppose 146*k + 54*k - 430 - 510 = -340. Factor 1/5*t**k - 2/5*t**2 + 0 - 8/5*t. t*(t - 4)*(t + 2)/5 Let l be -5*(-44)/55*(0 - -4). Let p be 5*l/(-40) + 5. Factor -1/8*u + 1/2 - 1/2*u**2 + 1/8*u**p. (u - 4)*(u - 1)*(u + 1)/8 Let h(j) = 13*j**2 + 9*j - 327. Let q(d) = 16*d**2 + 12*d - 328. Let m(s) = 4*h(s) - 3*q(s). Determine r so that m(r) = 0. -9, 9 Factor -1/2*s**2 - 154449/2 + 393*s. -(s - 393)**2/2 Let n(a) be the first derivative of 3*a**5/40 + 3*a**4/2 + 9*a**3 + 166*a + 136. Let u(x) be the first derivative of n(x). Factor u(d). 3*d*(d + 6)**2/2 Let m be 3*23/(-138)*16/(-24). Let 1/3*k**3 - 5/3*k - k**2 - 2/3 + m*k**4 = 0. Calculate k. -1, 2 Solve 6 - 57/2*m + 57/4*m**2 + 195/4*m**3 = 0 for m. -1, 4/13, 2/5 Let q be 8/44 - (-621)/33. Suppose q*a**2 + 25*a**2 - 68*a - 8*a**3 + 2 - 12 + 34 = 0. What is a? 1/2, 2, 3 Let p be (-48)/(-176)*(-17 + (41 - 13)). Factor -24 - 2*q**p + 34*q - 26/3*q**2 + 2/3*q**4. 2*(q - 3)**2*(q - 1)*(q + 4)/3 Let o(b) be the third derivative of -b**7/840 + 19*b**6/480 + 7*b**5/15 + 47*b**4/24 + 4*b**3 + 2311*b**2 + 1. Factor o(n). -(n - 24)*(n + 1)*(n + 2)**2/4 Let o(b) be the second derivative of -b**5/15 - 1138*b**4/27 - 758*b**3/27 + 3373*b. Let o(r) = 0. What is r? -379, -1/3, 0 Let a(d) be the third derivative of -d**5/390 - 83*d**4/26 - 497*d**3/39 - 6*d**2 - 132*d + 2. Let a(j) = 0. Calculate j. -497, -1 Let v = 126423 - 252801/2. Factor 9*c**2 + 129/4*c - 3/4*c**3 + v. -3*(c - 15)*(c + 1)*(c + 2)/4 Let i(k) be the second derivative of k**7/21 + 14*k**6/3 + 1357*k**5/10 + 770*k**4 + 1452*k**3 - 2*k - 2086. Solve i(w) = 0 for w. -33, -2, 0 Factor -2/3*d**3 - 114 + 70*d - 26/3*d**2. -2*(d - 3)**2*(d + 19)/3 Let i = -5159 + 5162. Let s(f) be the third derivative of 0 - 2/3*f**i - 1/6*f**4 - 1/60*f**5 - 24*f**2 + 0*f. Determine r so that s(r) = 0. -2 Let q(p) be the second derivative of -p**4/21 + 76*p**3/7 - 64*p**2 + 1139*p. Factor q(s). -4*(s - 112)*(s - 2)/7 Let i be (10/16 - 1)/(438/(-3504)). Factor 2/13*y - 36/13 - 2/13*y**i + 36/13*y**2. -2*(y - 18)*(y - 1)*(y + 1)/13 Let l be 332/792 - (-180)/(-495). Let s(k) be the first derivative of -3 - 5/9*k**2 + 2/27*k**3 + l*k**4 + 2/3*k. Factor s(y). 2*(y - 1)**2*(y + 3)/9 Suppose 261882*x - 18 = 261884*x - 2*k, 0 = -3*x - 3*k + 51. Factor -112*o**3 + 4208/11*o**2 + 288/11 + 98/11*o**x - 192*o. 2*(o - 6)**2*(7*o - 2)**2/11 Let y(h) = h**3 - 409*h**2 + 47945*h - 184900. Let p(s) = 5*s**2. Let w(a) = 5*p(a) - y(a). Solve w(n) = 0. 4, 215 Factor 1878*b**2 - 20 + 0*b**5 - 2026*b**2 - 78*b**3 - 136*b - 20*b**4 - 28 + 2*b**5 - 4*b**5. -2*(b + 1)*(b + 2)**3*(b + 3) Let o(v) = 3*v**4 + 2*v**2 + v + 6. Let x(y) = -8*y**4 - 3*y**3 - 4*y**2 - y - 12. Let a(d) = 2*o(d) + x(d). Factor a(n). -n*(n + 1)**2*(2*n - 1) Let l(x) be the first derivative of 2/3*x**3 + 1/12*x**2 - 1/24*x**4 - 2*x - 85. Solve l(h) = 0 for h. -1, 1, 12 Let p be 2 - (1/(-2)*4 - -1). Factor -1200*r + 1164*r - 4*r**2 + p - 3. -4*r*(r + 9) Let u(x) = -4*x**3 + 14*x**2 - 19*x - 93. Let i(c) = 11*c**3 - 41*c**2 + 56*c + 276. Let t(a) = 3*i(a) + 8*u(a). Determine q so that t(q) = 0. -2, 6, 7 Let o(f) be the second derivative of 2*f**2 + 4/9*f**3 + 1/90*f**5 - 12*f + 1/9*f**4 + 0. Let x(q) be the first derivative of o(q). Find k, given that x(k) = 0. -2 Let h(i) be the third derivative of -i**5/30 - 37*i**4/12 - 12*i**3 - 1062*i**2. Factor h(c). -2*(c + 1)*(c + 36) Let d(h) be the second derivative of 7*h**6/360 + h**5/60 - h**3/6 + 31*h**2/2 + 66*h. Let r(x) be the second derivative of d(x). Find l, given that r(l) = 0. -2/7, 0 Let d be (2/6)/((-25)/(-2775)). Solve -21*f - d*f**2 + 40 + 7*f**2 - 2*f**4 + 16*f**3 - 27*f + 40*f = 0. -1, 2, 5 Let c be 8/10*(-25)/(-30). Let o = -150 + 454/3. Find g, given that o*g**3 + c*g + 0 - 5/3*g**2 - 1/3*g**4 = 0. 0, 1, 2 Let n be (224/14 + -17)*2/(-90). Let w(u) be the second derivative of -n*u**3 - 11*u + 1/50*u**5 + 1/45*u**6 + 0*u**2 - 1/90*u**4 + 2/315*u**7 + 0. Factor w(o). 2*o*(o + 1)**3*(2*o - 1)/15 Let m(p) = -114*p**3 - 13296*p**2 - 26415*p - 13365. Let f(n) = 7*n**3 + 831*n**2 + 1651*n + 835. Let y(t) = -33*f(t) - 2*m(t). Factor y(j). -3*(j + 1)**2*(j + 275) Let q(b) be the first derivative of -b**4/4 - 8*b**3/3 - 7*b**2/2 - 1269. Factor q(n). -n*(n + 1)*(n + 7) Let b = 1388125/6 - 231923. Let w = b + 569. Solve -1/6*l + 1/6 - 1/6*l**2 + w*l**3 = 0 for l. -1, 1 Let b(x) be the first derivative of 1/2*x**4 + 4/5*x + 28 - x**2 + 0*x**3 - 4/25*x**5. Determine z, given that b(z) = 0. -1, 1/2, 1, 2 Let v(g) be the first derivative of 3/5*g**5 - 54*g**2 + 48*g + 28*g**3 - 27/4*g**4 - 46. Find t, given that v(t) = 0. 1, 2, 4 Suppose 26*l - 66 + 14 = 0. Factor 38*g**l - 21 + 41*g**2 - 18*g - 64*g**2 - 60. 3*(g - 3)*(5*g + 9) Let i(a) = -4*a + 131. Let q be i(0). Let o = q - 127. Factor o*p**3 + 4/5*p**2 - 4/5 - 4*p. 4*(p - 1)*(p + 1)*(5*p + 1)/5 Let h = -23 - -61. Let t = 42 - h. Find z such that 10*z**3 - 3 + t*z**4 - 4*z**3 - 6*z - z**4 = 0. -1, 1 Let l(n) be the third derivative of 282*n**2 + 4/45*n**6 + 0*n + 17/315*n**7 + 0*n**4 + 2/45*n**5 + 0 + 0*n**3 + 5/504*n**8. Find h, given that l(h) = 0. -2, -1, -2/5, 0 Let y(w) be the third derivative of -w**7/126 + w**6/2 - 65*w**5/6 + 845*w**4/18 + 10985*w**3/6 - 15*w**2 + 4*w. Factor y(x). -5*(x - 13)**3*(x + 3)/3 Let n = 113 - 109. Factor 241*c - 235*c - 6*c**3 + c**4 + 2*c**n - 3. 3*(c - 1)**3*(c + 1) Let j(d) = d**3 + 142*d**2 + 4117*d + 3900. Let i be j(-39). Let l be 1/(-2)*(0 + 0). Solve -2/5*u**5 - 2/5*u**4 + l + 2/5*u**3 + i*u + 2/5*u**2 = 0. -1, 0, 1 Let t(f) be the second derivative of f**5/5 - 85*f**4/3 - 486*f**3 - 2790*f**2 - 5259*f. What is c in t(c) = 0? -5, -3, 93 Suppose 0 = m + 4*k + 38, -4*m + 3*k + 670 = 632. Suppose -28/23*b - 2/23*b**m - 98/23 = 0. What is b? -7 Let w(q) be the third derivative of -q**6/90 - q**5/45 + 6*q**2 + 72*q. Factor w(t). -4*t**2*(t + 1)/3 Let p(i) be the first derivative of -100/3*i**2 - 3*i**3 + 4/15*i**5 - 16*i + 50 + 7/4*i**4. Factor p(c). (c - 3)*(c + 4)**2*(4*c + 1)/3 Suppose -3*w - 16*s = -18*s - 112, -4*w + 146 = -s. Factor -w - 37*c**2 + 25/2*c**4 - 35/2*c**3 + 78*c. (c - 1)*(c + 2)*(5*c - 6)**2/2 Let z be -2 - -7 - 4 - -19. Solve 36*y**3 + 16*y**3 - 36*y**3 + y - 4*y**4 + 7*y - z*y**2 = 0. 0, 1, 2 Suppose 15*f + 24042 = -11088. Let h = -9367/4 - f. Factor h*r**2 + 1/4*r - 1/2. (r - 1)*(r + 2)/4 Let s(x) be the first derivative of -13 - 2/21*x**3 - x**2 + 36/7*x. Factor s(n). -2*(n - 2)*(n + 9)/7 Let o(y) be the first derivative of -7*y**4 - 988*y**3/3 - 2576*y**2 - 1392*y - 3053. Factor o(x). -4*(x + 6)*(x + 29)*(7*x + 2) Let i = 95/3576 + 44/447. Let o = -267 + 269. Suppose 0*a + 0 + i*a**o = 0. What is a? 0 Let d(u) be the first derivative of -2*u**3/3 + 5*u**2 + 12*u - 859. Let d(n) = 0. What is n? -1, 6 Let x(s) be the third derivative of 0*s**3 - 7*s**2 + 0 + 1/60*s**5 + 7/8*s**4 + 3*s. Find h, given that x(h) = 0. -21, 0 Let j = -1378 + 1383. Suppose 4*f = 3 + 1. Factor j - u**2 + 21*u - 2 - f - 20*u. -(u - 2)*(u + 1) Find z, given that -202/3*z**2 + 550/3*z - 46/3*z**3 - 100 - 2/3*z**4 = 0. -15, -10, 1 Suppose -2*d + 4 = 4*q, q = 3*d - 16 + 38. Let a(k) be the first derivative of -5/14*k**q + 0*k - 4/7*k**2 - 2/35*k**
{ "pile_set_name": "DM Mathematics" }
4. 4 What is the highest common divisor of 117130 and 3482365? 4505 What is the highest common factor of 312 and 26116476? 12 What is the highest common factor of 60688407 and 9633? 507 What is the highest common factor of 300642 and 4823784? 3378 What is the highest common divisor of 32023 and 23126? 31 What is the highest common divisor of 146 and 37942188? 146 What is the greatest common divisor of 4248 and 14628696? 1416 What is the greatest common factor of 76 and 2430613? 19 Calculate the greatest common factor of 84084 and 1432860. 1716 What is the highest common divisor of 47751 and 42174? 33 What is the highest common divisor of 49380 and 30460? 20 What is the highest common divisor of 10502 and 3212? 2 Calculate the highest common divisor of 77340021 and 102. 51 What is the highest common divisor of 1640 and 20685935? 205 Calculate the highest common factor of 61069312 and 256. 256 What is the highest common factor of 625279389 and 21? 21 Calculate the greatest common factor of 14 and 560577262. 14 What is the highest common factor of 92630 and 7896560? 590 What is the highest common factor of 4137 and 64431017? 1379 Calculate the highest common divisor of 42884 and 10811600. 604 Calculate the highest common divisor of 10 and 486834240. 10 What is the greatest common divisor of 36 and 329360964? 12 Calculate the highest common factor of 12187931 and 7672. 959 What is the greatest common factor of 217920 and 8160? 480 Calculate the greatest common divisor of 10098 and 7635006. 918 Calculate the highest common factor of 46363573 and 1598. 799 What is the greatest common factor of 66171 and 763? 7 What is the greatest common divisor of 19935 and 767719? 443 Calculate the highest common divisor of 5535032 and 374810. 2026 Calculate the highest common factor of 2457 and 1823549. 91 Calculate the highest common factor of 203692363 and 3962. 1981 Calculate the highest common divisor of 1645 and 2070115. 235 Calculate the highest common divisor of 2364714 and 98198. 2654 Calculate the greatest common divisor of 8195 and 1308965. 745 Calculate the greatest common factor of 8910617 and 1. 1 What is the greatest common divisor of 337 and 144086035? 337 Calculate the greatest common factor of 202 and 5120877154. 202 Calculate the greatest common divisor of 41895 and 25927875. 855 What is the highest common factor of 304678 and 24? 2 What is the greatest common factor of 112576 and 664? 8 What is the highest common divisor of 2035656 and 823788? 1764 Calculate the greatest common divisor of 167169484 and 5528. 2764 What is the highest common divisor of 312 and 4846056? 24 What is the greatest common divisor of 88276124 and 27196? 2092 Calculate the highest common divisor of 381 and 79797. 3 What is the greatest common divisor of 581454135 and 9? 9 Calculate the highest common factor of 360 and 20894920. 40 Calculate the greatest common divisor of 607052545 and 7876. 1969 What is the highest common divisor of 988 and 63915924? 76 Calculate the greatest common divisor of 5892 and 97310308. 1964 Calculate the highest common divisor of 34628594 and 2824. 706 Calculate the greatest common divisor of 19007294 and 716. 358 What is the highest common factor of 7430178 and 179151? 399 Calculate the highest common factor of 10816 and 1809344. 64 What is the greatest common factor of 51 and 185021659? 17 What is the highest common factor of 4459920 and 696? 24 Calculate the highest common factor of 2008 and 1360848. 8 What is the highest common divisor of 1149 and 11707? 1 What is the highest common divisor of 11177073 and 114? 57 Calculate the highest common divisor of 164905344 and 2064. 2064 What is the highest common divisor of 753320 and 1130? 10 What is the highest common divisor of 221801 and 493564? 757 Calculate the greatest common factor of 23661463 and 12617. 1147 What is the greatest common divisor of 94 and 186537642? 94 What is the highest common divisor of 32977 and 21503023? 673 What is the highest common factor of 136888 and 9088? 568 Calculate the highest common factor of 731 and 1567651. 43 Calculate the highest common factor of 4158 and 5436882. 594 Calculate the highest common divisor of 11905 and 380. 5 Calculate the greatest common factor of 177 and 2964964701. 177 Calculate the greatest common factor of 7603605 and 38505. 2265 What is the highest common divisor of 15906 and 55704? 66 Calculate the highest common factor of 402350431 and 8104. 1013 Calculate the greatest common factor of 5805 and 80353971. 1161 What is the highest common divisor of 292 and 4047923? 73 Calculate the greatest common divisor of 31472 and 536294120. 2248 What is the greatest common factor of 202974 and 3642? 6 Calculate the highest common divisor of 1618 and 264026858. 1618 Calculate the greatest common divisor of 1102 and 1305812. 58 What is the greatest common divisor of 2 and 918602? 2 What is the greatest common factor of 1017027 and 297? 99 What is the highest common factor of 432 and 8657280? 432 What is the greatest common divisor of 12072463 and 832? 13 What is the highest common factor of 232 and 3957659? 29 What is the highest common factor of 969 and 132726837? 969 Calculate the highest common factor of 136576 and 17536. 128 What is the greatest common factor of 13410 and 1609020? 90 Calculate the highest common divisor of 713816662 and 76. 38 Calculate the greatest common divisor of 20817 and 15988227. 771 Calculate the highest common factor of 240883424 and 32. 32 Calculate the greatest common factor of 62 and 29294721. 31 What is the highest common factor of 17920 and 639488? 512 What is the highest common factor of 1336 and 209494653? 167 What is the highest common factor of 25474311 and 2719? 2719 Calculate the greatest common divisor of 19773 and 155142. 1521 Calculate the highest common divisor of 492646 and 9898. 98 Calculate the highest common divisor of 652420872 and 108. 108 What is the greatest common divisor of 70359140 and 20? 20 What is the highest common divisor of 592 and 1669403? 37 Calculate the highest common factor of 50 and 148359200. 50 Calculate the greatest common factor of 26 and 4435498. 2 Calculate the highest common divisor of 81721 and 8260727. 1151 Calculate the greatest common factor of 9438 and 72438223. 1573 Calculate the highest common factor of 2638910 and 101802. 722 What is the highest common factor of 225467 and 21691? 199 What is the highest common factor of 59900 and 20525933? 599 Calculate the highest common divisor of 8 and 402314908. 4 Calculate the greatest common factor of 18819 and 3402754. 697 What is the highest common divisor of 15566 and 88690? 362 Calculate the greatest common factor of 3100 and 10186900. 100 What is the highest common divisor of 56747948 and 212? 212 Calculate the greatest common factor of 6647691 and 11487. 1641 What is the greatest common divisor of 21697091 and 3579? 1193 What is the highest common factor of 81125 and 2605? 5 What is the greatest common divisor of 56250389 and 6461? 923 Calculate the greatest common divisor of 59640 and 8973832. 3976 What is the greatest common divisor of 672 and 110430? 6 What is the highest common divisor of 2082294 and 384? 6 What is the highest common factor of 173426 and 3894? 22 What is the greatest common divisor of 7194413 and 251? 251 Calculate the highest common divisor of 6020 and 82501090. 3010 What is the highest common factor of 240544 and 864? 32 Calculate the greatest common divisor of 15036 and 33331053. 3759 What is the greatest common divisor of 22 and 45752949? 11 Calculate the highest common divisor of 1301329 and 361. 19 Calculate the greatest common divisor of 73111 and 110401. 113 What is the greatest common factor of 2305880 and 1904? 136 What is the highest common factor of 68589616 and 48? 16 Calculate the greatest common factor of 17520 and 1226035. 365 What is the highest common factor of 2073607 and 6? 1 What is the greatest common factor of 1584 and 2411568? 144 What is the greatest common factor of 234924553 and 69? 23 What is the highest common factor of 8113223 and 5633? 131 Calculate the greatest common factor of 197529696 and 8064. 2016 Calculate the highest common factor of 245311 and 9889. 319 Calc
{ "pile_set_name": "DM Mathematics" }
1028 (base 9) to base 16. 2f3 What is 12033203 (base 4) in base 9? 38062 What is -24c0 (base 16) in base 14? -3600 What is 3320 (base 8) in base 4? 123100 3335 (base 9) to base 10 2462 What is -909 (base 11) in base 10? -1098 What is 1111010000000 (base 2) in base 6? 100052 -6640 (base 10) to base 11 -4a97 2430 (base 5) to base 3 111112 -1000001111101100 (base 2) to base 3 -1201022211 Convert -10121133 (base 4) to base 6. -215223 What is 33003 (base 4) in base 10? 963 What is 5ad (base 14) in base 10? 1133 Convert -4987 (base 14) to base 5. -402414 Convert -c47 (base 13) to base 9. -2768 What is 35 (base 12) in base 2? 101001 3667 (base 9) to base 7 10654 1061b (base 12) to base 15 6618 Convert 142637 (base 8) to base 13. 1a048 2b6 (base 12) to base 2 110101010 What is 51e (base 15) in base 4? 102002 Convert -1955 (base 13) to base 6. -25312 -11010021 (base 3) to base 2 -101110111100 What is -2610 (base 15) in base 3? -102010120 What is 1001101101000111 (base 2) in base 3? 2000112021 Convert -2264 (base 12) to base 16. -eec 2123 (base 5) to base 10 288 47860 (base 9) to base 4 13310301 8471 (base 9) to base 4 1201030 3313 (base 4) to base 15 117 Convert -220c (base 15) to base 11. -5467 What is 1010101010001 (base 2) in base 8? 12521 Convert 220012 (base 4) to base 6. 15514 c179 (base 13) to base 5 1323013 5200 (base 8) to base 14 da0 Convert -eb75 (base 15) to base 16. -c2ab -215125 (base 6) to base 10 -17981 Convert -11001110110110 (base 2) to base 5. -410423 What is aa1d (base 14) in base 12? 15043 What is 1654 (base 15) in base 6? 34124 2568 (base 9) to base 4 132011 What is -2441 (base 6) in base 11? -4a7 Convert -45a (base 13) to base 10. -751 Convert -2004 (base 10) to base 14. -a32 4010 (base 5) to base 2 111111001 What is 4b5 (base 16) in base 12? 845 -22994 (base 10) to base 4 -11213102 What is 1ca (base 14) in base 10? 374 Convert 41015 (base 7) to base 3. 111122212 What is 2240 (base 5) in base 13? 1b8 -240 (base 16) to base 4 -21000 What is -24184 (base 11) in base 3? -1202202121 Convert 27c (base 13) to base 9. 540 What is 254 (base 9) in base 11? 182 What is -9123 (base 12) in base 3? -210120100 What is -819d (base 14) in base 3? -1010120110 -9c3 (base 14) to base 4 -132033 2140434 (base 5) to base 14 d6a6 182c (base 14) to base 8 10400 What is -120022022 (base 3) in base 14? -40d1 What is -18d7 (base 15) in base 3? -21101011 What is -154041 (base 6) in base 10? -15145 Convert -353 (base 7) to base 2. -10111001 Convert 60 (base 14) to base 12. 70 Convert -368 (base 11) to base 12. -305 What is -1080 (base 12) in base 5? -24244 What is 1a72 (base 13) in base 14? 1644 -10385 (base 13) to base 3 -1111000122 What is -964 (base 11) in base 2? -10010000111 What is 306 (base 10) in base 12? 216 Convert -6402 (base 12) to base 7. -43625 1558 (base 14) to base 7 14041 Convert 233111 (base 5) to base 13. 3b63 What is -114c (base 15) in base 12? -2160 What is 304132 (base 7) in base 9? 78127 -229 (base 15) to base 13 -2b8 Convert 2062 (base 7) to base 14. 3a2 911 (base 16) to base 12 1415 What is -411241 (base 6) in base 12? -16b21 10a (base 12) to base 13 bb Convert -228 (base 10) to base 11. -198 What is 7258 (base 10) in base 4? 1301122 2211201 (base 4) to base 15 3213 What is 155 (base 6) in base 3? 2122 What is -e0 (base 16) in base 2? -11100000 -3ba (base 14) to base 3 -1000212 Convert 21300 (base 4) to base 16. 270 What is -10001110001100 (base 2) in base 3? -110111001 Convert 2be (base 15) to base 6. 2525 Convert -116 (base 8) to base 4. -1032 -3323 (base 5) to base 8 -717 What is -3a3 (base 16) in base 14? -4a7 What is -322011 (base 4) in base 3? -12002200 -12011 (base 5) to base 12 -615 -826 (base 15) to base 12 -1090 61b3 (base 14) to base 6 205505 1143342 (base 5) to base 10 21722 3140 (base 8) to base 15 73c What is 3326a (base 11) in base 4? 23301222 Convert -2d7 (base 15) to base 2. -1010001100 4344 (base 5) to base 11 4a5 Convert -49a9 (base 15) to base 11. -10869 What is 3239 (base 13) in base 4? 1231001 522 (base 9) to base 15 1d5 What is 10110111100 (base 2) in base 14? 76c Convert 24d (base 15) to base 9. 641 526 (base 13) to base 9 1174 What is 3544 (base 10) in base 8? 6730 Convert -4410 (base 5) to base 10. -605 -11011001100 (base 2) to base 16 -6cc -3042 (base 13) to base 7 -25242 Convert 172 (base 10) to base 5. 1142 Convert -1e45 (base 16) to base 12. -4599 What is -23132 (base 5) in base 4? -122003 Convert 70a4 (base 15) to base 6. 302031 What is -1123 (base 10) in base 3? -1112121 Convert -61 (base 8) to base 7. -100 What is 3104 (base 8) in base 16? 644 5056 (base 12) to base 6 104150 -1097 (base 11) to base 4 -112131 2212200021 (base 3) to base 7 324043 What is 2455 (base 8) in base 13? 7ac What is -1c8 (base 14) in base 12? -270 Convert 72b (base 16) to base 9. 2458 222222 (base 6) to base 16 48e6 What is -2122122 (base 3) in base 14? -9c2 What is 2919 (base 12) in base 9? 6483 What is 110011100111111 (base 2) in base 16? 673f Convert 407 (base 11) to base 2. 111101011 6369 (base 15) to base 12 10200 What is -22121 (base 4) in base 10? -665 Convert -a607 (base 11) to base 16. -36db Convert -37 (base 9) to base 16. -22 Convert -410 (base 6) to base 13. -b7 1093 (base 13) to base 4 210031 What is -6022 (base 8) in base 9? -4213 What is -6a09 (base 12) in base 13? -54c0 Convert 1130022 (base 4) to base 12. 34b6 -2765 (base 16) to base 8 -23545 What is -102033 (base 4) in base 10? -1167 Convert 11001011111 (base 2) to base 11. 1253 21302 (base 5) to base 15 66c 5f53 (base 16) to base 13 b152 Convert -1001001100 (base 2) to base 7. -1500 Convert 27274 (base 9) to base 10. 18454 -5846 (base 13) to base 9 -18002 -3afd (base 16) to base 7 -62012 What is 23012301 (base 4) in base 11? 311a4 Convert -8875 (base 9) to base 13. -2c99 Convert 614 (base 15) to base 11. 1035 10012 (base 3) to base 2 1010110 Convert -122240 (base 5) to base 9. -6386 172 (base 9) to base 8 222 What is -14920 (base 10) in base 6? -153024 -2243 (base 6) to base 13 -31b 3352 (base 14) to base 10 8892 What is d8 (base 14) in base 11? 163 Convert -172b (base 14) to base 10. -4155 Convert -55776 (base 8) to base 12. -11766 What is 1205 (base 6) in base 8? 445 What is -22c (base 14) in base 9? -530 Convert 14624 (base 10) to base 5. 431444 Convert -2392c (base 14) to base 3. -11102011100 -4032 (base 7) to base 5 -21040 Convert 2073 (base 8) to base 15. 4c3 2202120 (base 3) to base 9 2676 Convert -1211212 (base 3) to base 11. -1014 21103302 (base 4) to base 5 2210010 What is 30210 (base 4) in base 9? 1083 What is 623 (base 10) in base 8? 1157 -243315 (base 6) to base 3 -1002111102 -2040232 (base 5) to base 6 -420321 1022 (base 8) to base 7 1355 What is 425 (base 11) in base 7? 1330 Convert -121221 (base 6) to base 3. -112122011 Convert 45 (base 11) to base 9. 54 What is -3179 (base 12) in base 4? -1110231 2d08 (base 16) to base 10 11528 What is 10021110 (base 3) in base 14? c28 -2401 (base 8) to base 14 -677 -1110111110011 (base 2) to base 14 -2b19 11000001011 (base 2) to base 14 7c7 What is 21123 (base 5) in base 12? 999 Convert -10111001110 (base 2) to base 8. -2716 Convert -1249 (base 11) to base 14. -842 222243 (base 5) to base 2 1111010001111 What is 401 (base 8) in base 13? 16a What is -5636 (base 9) in base 3? -12201020 Convert cb9 (base 15) to base 6. 21150 Convert -2ab0 (base 14) to base 15. -23bc Convert -1784 (base 12) to base 5. -42321 What is 6256 (base 15) in base 3? 1001111200 Convert -14486 (base 14) to base 3. -2112222202 Convert 390 (base 13) to base 5. 4444 What is 33 (base 16) in base 6? 123 -1505 (base 6) to base 8 -621 -11111100100 (base 2) to base 11 -1577 Convert 24063 (base 8) to base 15. 30b1 Convert -18616 (base 9) to base 10. -12894 113331 (base 4) to base 2 10111111101 Convert 224d9 (base 14) to base 13. 2bbb4 -1120222 (base 3) to base 5 -14120 What is -25010 (base 6) in base 12? -2166 Convert -12330 (base 10) to base 14. -46ca Convert -64001 (base 7) to base 9. -23572 Convert -8a6 (base 16) to base 13. -1014 -5a4b (base 13) to base 14 -48dc What is -5406 (base 10) in base 6? -41010 147 (base 15) to base 12 204 Convert 1313 (base 7) to base 2. 111110100 29 (base 12) to base 14 25 -204110 (base 5) to base 4 -1221330 -
{ "pile_set_name": "DM Mathematics" }
600465 - 76897.046. Let j = -1.67 + a. Round j to seven decimal places. 0.0000047 Let n = 6.1 - 6. Let z = 1.12 - 0.9. Let k = z + n. What is k rounded to 1 decimal place? 0.3 Let v = -2655.447 - -2658. Let t = v - -115.747. Let g = t + -124. Round g to the nearest integer. -6 Let x(f) = -82879*f**3 + 2*f**2 - 9*f. Let m be x(3). Let z = 1022258 - m. Round z to the nearest one hundred thousand. 3300000 Let h be (-10)/1*(11 + -12). Let b = -1 - h. Let y(d) = -30*d**2 + 16*d + 6. Let m be y(b). Round m to the nearest one thousand. -4000 Let c = 224 + -9541. Round c to the nearest 1000. -9000 Let g = 0.16382 - 0.2268. Round g to 2 dps. -0.06 Let o = -0.51001755 + 0.51. Round o to six dps. -0.000018 Let h = 0.459 - 451.459. Let z = -451.0000213 - h. What is z rounded to 6 decimal places? -0.000021 Let i = 0.184 - 0.2. Let m = -26777 - -26776.984023. Let b = i - m. What is b rounded to 5 dps? -0.00002 Let w(a) = a**3 - 4*a**2 - 6*a + 3. Suppose o + 2*t + 0 - 3 = 0, 2*o - 7 = -3*t. Let g be w(o). Let f be (255/6 + -3)*g. What is f rounded to the nearest ten? -80 Suppose -1 = -q + 8. Let p be q*4/(-6)*-90. Round p to the nearest one hundred. 500 Let m = 38627.4700057 + -38623.17. Let q = -0.56 - -4.86. Let t = q - m. Round t to six decimal places. -0.000006 Let a = -0.553 - -0.62. Let l = 12276225 + -12276225.06699919. Let u = a + l. What is u rounded to seven dps? 0.0000008 Let r = 78646.799 - 78580. Let x = r + -0.099. Round x to the nearest integer. 67 Let w = 1147642003880456 - 1147641406352629.000151. Let u = -597527511 + w. Let t = 316 - u. Round t to five dps. 0.00015 Let o(j) = 638*j**3 - 29*j**2 - 21*j - 100. Let n be o(25). Round n to the nearest 100000. 10000000 Let i = -36828257 + 36828289.796151. Let t = i - 33.39615078. Let x = -0.6 - t. Round x to 7 dps. -0.0000002 Let v = 19.49999647 + -19.5. Round v to 6 dps. -0.000004 Let u = -361.98675069874 - 0.01322940126. Let f = -362 - u. What is f rounded to six dps? -0.00002 Let d = 111505 + -66162. Suppose 5343 = -h + d. Round h to the nearest ten thousand. 40000 Let u = -0.269 + 174.269. Let d = u + -174.0000103. What is d rounded to six dps? -0.00001 Let k = -75090803.999346 - -75090727. Let a = -77 - k. What is a rounded to 4 decimal places? -0.0007 Let h = -71 + 107. Let l = 17 - h. Let v = l - -18.988. Round v to 3 decimal places. -0.012 Let x = -0.1429574 + 0.1426. Round x to 5 dps. -0.00036 Let u = -377 - -376.999522. Round u to five decimal places. -0.00048 Let m = 2375 - 2374.9744. Round m to 3 dps. 0.026 Let q = 4.5917921 - -18599626.4082079. Let o = 18599631.7899957 - q. Let j = o + -0.79. Round j to 6 decimal places. -0.000004 Suppose -4*g = -17 - 3. Suppose 0 = c + t + t - 13, g*c + 5*t = 40. Suppose 0 = -5*s - 3*j + 27500000, -c*j = -0*j. What is s rounded to the nearest 1000000? 6000000 Let d(l) = -l - 2. Let t be d(-4). Let j be -2 + -95 + -1 - t. Let a be -2*j/16*120. What is a rounded to the nearest one hundred? 1500 Let s = -694157237.00000014 + 694157256. Let k = -342 + 323. Let x = s + k. What is x rounded to 7 decimal places? -0.0000001 Let j = -0.3 - -0.6. Let d = 1664456.2999894 + -1664456. Let p = j - d. Round p to six decimal places. 0.000011 Let z(a) = -6*a**2 - 71*a + 17. Let v be z(-12). Suppose v*t - 419 + 1369 = 0. Round t to the nearest 100. -200 Let y = -111.4 + 111.402512. Round y to 4 decimal places. 0.0025 Let b = -26.87 - 0.13. Let i = 22.7 + b. What is i rounded to the nearest integer? -4 Suppose -2*t - 27606 = -i, 2*i - t = 4*i - 55222. Round i to the nearest one thousand. 28000 Let x = 28.2 + 1.8. Let i = -30.000111 + x. Round i to five dps. -0.00011 Let o(k) = -k + 10. Let s be o(6). Suppose g = r - 4*r - 26, 5*r + 48 = -s*g. Round r to the nearest 10. -10 Let t(g) = 3042786*g + 5. Let p be t(3). Suppose 828363 = q + p. Round q to the nearest one million. -8000000 Let h = 0.8 - 0.721. Let f = -3.379 + h. What is f rounded to the nearest integer? -3 Let d = 10 + -5. Let u = -5.5 + d. Let z = u + 0.500032. What is z rounded to five dps? 0.00003 Let x = 18426141.884125357 + 9265.115952643. Let k = -18435470 + x. Let u = k + 63. Round u to five dps. 0.00008 Let j = -0.5832714 + 0.5838. Round j to 4 decimal places. 0.0005 Suppose -2*y = q - 82002, q + 0*q - 4*y - 81996 = 0. Suppose -8*r = -5*c - 3*r - q, 3*r = c + 16400. Round c to the nearest 1000. -16000 Let b = -203088 + 83088. What is b rounded to the nearest 100000? -100000 Let r = 0.485 + -0.41. Let q = -2.915 + r. What is q rounded to one dp? -2.8 Let k = 1316668911190 + -1316668855783.1993967. Let c = 55334.8006 - k. Let q = c + 72. Round q to six decimal places. -0.000003 Let l = -121 - -121.00102. Round l to 3 dps. 0.001 Let f = 1.236 - -8.114. Round f to the nearest integer. 9 Let p = 3142 + -3568.6. Let o = -426.299933 - p. Let s = o - 0.3. What is s rounded to five decimal places? 0.00007 Let d = -731 + 1371. What is d rounded to the nearest one hundred? 600 Let z = 367.99999673 - 368. What is z rounded to 6 decimal places? -0.000003 Let g = -96.2 - 464.5. Round g to the nearest 100. -600 Let z = 0.0502 + -0.054. Let v = z + 0.004077. Round v to 5 decimal places. 0.00028 Let y = 0.1439 + -1.0453. Let f = 0.9 + y. What is f rounded to 3 decimal places? -0.001 Let j(u) = -u**2 + 4*u + 5. Let v be j(4). Let r be 1 - -1 - (-1595)/v. Suppose -w - r = 5*n + 1894, 0 = -2*w + n - 4463. Round w to the nearest one hundred. -2200 Let r = -32410 - 118090. Round r to the nearest ten thousand. -150000 Let j = -349341 - 397659. Round j to the nearest ten thousand. -750000 Let g = -0.072 + 0.542. Let f = -928.788 - -929.257981. Let c = g - f. What is c rounded to six decimal places? 0.000019 Let n = 3.407994598 + -3.408. What is n rounded to seven dps? -0.0000054 Let l = 72.24 - 72.13429. What is l rounded to 2 dps? 0.11 Let p(g) = 23896*g**3 - 3*g**2 + 2*g. Let b be p(2). Suppose 2*w - b = -w. Suppose l = 10280 + w. Round l to the nearest 10000. 70000 Let i = 17 - 16.8. Let h = i - 0.5. Let g = 0.30000024 + h. Round g to seven decimal places. 0.0000002 Let z = 0.06 + 0.04. Let b = 11.9 + z. Let s = b - 11.99999943. What is s rounded to 7 decimal places? 0.0000006 Let f(n) = 2*n - 24. Let p be f(11). Let h(d) = -5*d - 6. Let a be h(p). Suppose -b - 1350000 = -a*b. What is b rounded to the nearest 100000? 500000 Let j = 31 + -18. Let w = 12.9826 - j. Let i = -0.03 - w. What is i rounded to three dps? -0.013 Let s = 3.24 + -2.786. What is s rounded to 1 dp? 0.5 Let x = -61.213 + 61.5. Let r = 0.04015867 + 0.2468425. Let z = x - r. What is z rounded to 7 decimal places? -0.0000012 Let j = 78 - -60. Let g = 138.0162 - j. Round g to 3 dps. 0.016 Let x(g) be the third derivative of 19855*g**4/8 - 85*g**3/6 - 13*g**2. Let j be x(9). Round j to the nearest 100000. 500000 Let g = 1072 + -1071.9999738. Round g to four dps. 0 Let t = 5258.7322 - -1.2678. Let v = t + -5279.0128. Let s = v + 19. Round s to three decimal places. -0.013 Suppose -3*j - 2*l - 89760010 = -4*l, -3*j + 5*l = 89760025. What is j rounded to the nearest 1000000? -30000000 Let i = 0.006 + -27.006. Let h = 26.957 + i. Round h to 2 dps. -0.04 Let z(n) = 6*n**2 + 5*n + 6. Let s(u) = 7*u**2 + 5*u + 7. Let i(v) = -5*s(v) + 6*z(v). Let r be i(-5). Let d = r - 6. Round d to the nearest ten. -10 Suppose -4*q - 36167583 = -5*g, -4*g = -q + 2*q + 9041901. Let u = 8208947 - -9332950. Let j = q + u. What is j rounded to the nearest 1000000? 9000000 Suppose -q = 7*r - 2*r + 7480000, 5*q + 5*r = -37400000. Round q to the nearest 100000. -7500000 Let y = -10 + 9. Let c = 0.9 + y. Let q = -0.02 + c. What is q rounded to one decimal place? -0.1 Let r(u) = u**3 + u**2 - 7*u + 1. Let m be r(-5). Let o be (-4 + m)/((-2)/4). Let b be (7/4)/((-2)/o). What is b rounded to the nearest 10? -120 Let c = -0.6 + -10.2. Let f = 10.80000162 + c. What is f rounded to seven dps? 0.0000016 Let x = -459 - -458.8758. What is x rounded to 3 decimal places? -0.124 Let k(f) = -1533332*f + 8. Suppose -10*d = -11*d - 6. Let h be k(d). Round h to the nearest one million. 9000000 Let o = 44 + -30. Let g = o + 1. Let l = -14.9999888 + g. What is l rounded to 6 decimal places? 0.000011 Let n = 4127.73 - 4099. What is n rounded to the nearest integer? 29 Let v be (-24)/2*(-4350015)/12. Su
{ "pile_set_name": "DM Mathematics" }
h is smaller: 480 or 514? 480 Which is bigger: 72.02 or 178? 178 Is -2 at most -103/58? True Which is smaller: 2261 or 235? 235 Is -34 != -2869/83? True Which is greater: 557 or -7? 557 Which is bigger: -494457 or -494460? -494457 Which is bigger: 3199 or 3194? 3199 Which is bigger: -2861 or -3144? -2861 Is 3015736 at least as big as 3015734? True Is 37 < -0.287? False Is -4643 > -4608? False Is 86945 <= 86944? False Which is greater: 1919 or 1854? 1919 Which is greater: 1.6 or -8.553? 1.6 Is 0.422 smaller than 1/14? False Which is smaller: -634 or -0.01? -634 Is -0.18 < 1/143? True Is 307 greater than or equal to 11059/36? False Do 128464 and 128466 have the same value? False Which is bigger: -1409 or -663? -663 Which is smaller: -1/4673650 or 0? -1/4673650 Do 11460 and 11436 have different values? True Which is bigger: -18718 or -131021/7? -131021/7 Which is bigger: 18 or 2109/112? 2109/112 Does 61982 = 61980? False Is -42628 < -42627? True Which is smaller: -1 or -2/1622079? -1 Is 2668 at most 657? False Which is greater: 57/3274 or -1? 57/3274 Which is bigger: 0 or -266/597? 0 Which is smaller: -58537 or -58536? -58537 Which is smaller: -650/7 or 2/5341? -650/7 Are 479480 and 10 equal? False Which is bigger: -1617/2 or -809? -1617/2 Which is bigger: -0.052 or -55? -0.052 Is -177630 >= -177630? True Which is smaller: 2 or 1407/1277? 1407/1277 Is 1/10911 at least 6? False Is 1386 bigger than 926? True Is 99 bigger than 216? False Are 534173 and 534169 non-equal? True Is 2/705 at least -165? True Which is greater: 5733 or 17? 5733 Which is smaller: 1149 or 1131? 1131 Is -870 less than 1.94? True Which is smaller: 300 or 375? 300 Is 10 != 17856? True Is -61354 greater than or equal to -61354? True Is 1 less than or equal to 12/289399? False Which is smaller: 1921963/2 or 960981? 960981 Do -3134 and -3150 have the same value? False Are 1/20 and -30.99 equal? False Does 513036 = 513035? False Which is bigger: 1659 or 652? 1659 Is 1/172561 at most as big as 0? False Do 37684 and 37693 have the same value? False Is 196659 smaller than 196657? False Which is greater: 699014 or 699016? 699016 Is 5/721 bigger than 35? False Which is greater: 402 or 367? 402 Which is smaller: -2 or -392/517? -2 Which is bigger: 1 or -1551084? 1 Which is smaller: -1 or -658/317? -658/317 Which is smaller: -37693 or -37691? -37693 Which is smaller: 6662 or -5? -5 Are 1 and -3/425924 unequal? True Which is greater: -24987 or -24986? -24986 Is 0.1 less than -32551? False Which is smaller: 0.2 or -1977.8? -1977.8 Which is greater: -1 or -3/52241? -3/52241 Which is bigger: 1198/7 or 191? 191 Which is bigger: -11/59 or -1/147? -1/147 Which is bigger: 3 or 1027/599? 3 Is -452 < -534? False Is -2/9 <= 135499? True Is 38.09 not equal to -2? True Is 784603 not equal to 784603? False Is 2.49 smaller than 0.039? False Which is smaller: 1.1 or -47.074? -47.074 Which is greater: 0 or 1/1969085? 1/1969085 Which is bigger: 13347 or 13349? 13349 Which is smaller: 2004/175 or 12? 2004/175 Which is smaller: 358689 or 358688? 358688 Are -1/2 and 773.35 equal? False Which is bigger: 22/113 or 0? 22/113 Which is smaller: 336032 or 336033? 336032 Which is greater: -2070.86 or 1? 1 Which is smaller: -2/1151 or -0.61? -0.61 Which is greater: 0 or 1/1370945? 1/1370945 Are 1 and 85/1534 unequal? True Are 1434 and 59 unequal? True Which is bigger: -34981 or -104941/3? -104941/3 Are -22172 and -22174 non-equal? True Are -80296 and -80297 equal? False Which is smaller: 1714 or 6853/4? 6853/4 Is 460417 not equal to 460417? False Is -1 >= -137/4703? False Do -1 and -11/61196 have the same value? False Is -105 >= 13/101? False Does 1 = -919/4040? False Which is bigger: 451 or 434? 451 Is 67786 smaller than 67826? True Which is bigger: -356/129 or -2? -2 Is -434 > -369? False Which is smaller: 5012/5 or 1003? 5012/5 Which is bigger: 0.2 or -2/204123? 0.2 Which is bigger: -279 or 238? 238 Is 5435591/4 smaller than 1358897? False Are 37/25007 and 0 unequal? True Which is smaller: -0.172 or 3/1535? -0.172 Is -7217 != 126? True Is -26 greater than or equal to -1617? True Is 307669 smaller than 1/3? False Is -197 at most -8967? False Which is smaller: -2/5769603 or -1? -1 Is -6365/111 smaller than -57? True Is -0.1 greater than -3/3299? False Do 33 and -794 have the same value? False Is -2 greater than or equal to -629/625? False Which is smaller: 2234/1707 or 0? 0 Which is smaller: 14/17989 or 0? 0 Which is smaller: 1249 or 1221? 1221 Which is smaller: 1 or -1/119427? -1/119427 Which is bigger: 2 or 4539/1625? 4539/1625 Is -2/951247 < 1? True Is 1817 greater than 1321? True Is -3 less than or equal to 12.968? True Which is smaller: -80260 or -80264? -80264 Which is smaller: 154/29 or 4? 4 Which is greater: -0.01 or 0.954? 0.954 Which is bigger: -58506 or -58504? -58504 Is 3/21811 smaller than -1? False Which is greater: 17735 or -1? 17735 Which is smaller: -5/1396 or -1? -1 Which is smaller: 14080 or 70403/5? 14080 Is -14408 > -14409? True Is -3/139694 greater than -1? True Is 0 less than or equal to -1157944? False Which is smaller: -138 or -22260/163? -138 Are 0.03 and -129557 non-equal? True Which is smaller: 0.118334 or 0.2? 0.118334 Which is smaller: 1 or -28/10457? -28/10457 Which is bigger: -2950 or -2951? -2950 Is -988 at least -322/15? False Are 116/219 and 1 nonequal? True Which is smaller: -16442 or -65767/4? -16442 Do -484/45 and -12 have the same value? False Which is greater: -1 or 344/1961? 344/1961 Are 72288 and 72286 non-equal? True Is -2/154313 smaller than -1? False Which is smaller: -2463 or 290? -2463 Which is smaller: 21/7453 or 1? 21/7453 Which is bigger: -219407.1 or 1? 1 Which is greater: -1 or -4/32573? -4/32573 Is -1 not equal to 2/2155635? True Which is bigger: 56233/4 or 14057? 56233/4 Which is bigger: 2.9116 or -0.1? 2.9116 Is 5201/17 <= 307? True Is 6346 > 6349? False Are -1 and 10/543931 nonequal? True Do 11171 and 11144 have different values? True Which is smaller: -21 or 115/3? -21 Is 34275 greater than or equal to 34275? True Is 2/3 less than 80274? True Is 3479 less than 3477? False Which is greater: 131895 or 395681/3? 131895 Which is smaller: 5470 or 5461? 5461 Is -10/410693 less than -1? False Which is smaller: -90124 or -90122? -90124 Which is bigger: -4986 or -60? -60 Is 10159 < 10159? False Is -2 smaller than -1008538? False Is -1183 greater than -1119? False Which is greater: -309981 or -309978? -309978 Which is greater: 1 or -32/35719? 1 Which is smaller: 1 or -51/2216? -51/2216 Which is greater: 3 or 9/550? 3 Is 1217 >= 967? True Do 12793 and 63958/5 have the same value? False Which is smaller: -0.1 or 1255891? -0.1 Is -37078 smaller than -37112? False Is -33964 at most -33960? True Is 0 <= 42/6599? True Are -21152 and -21151 non-equal? True Which is smaller: 22399 or 22400? 22399 Which is greater: 1/3 or 75964? 75964 Which is smaller: -1 or -201/154? -201/154 Is -4382 > -8? False Is -4261065 >= -2/5? False Which is smaller: 12181 or 12180? 12180 Which is smaller: -25376 or -76124/3? -25376 Is -4474 at least -4472? False Is 2 > -1/15160? True Is -26925 at least as big as -27014? True Is 1/3 <= -88642? False Which is smaller: -2172/17 or 9.9? -2172/17 Which is greater: 20206 or 20205? 20206 Do -99190 and -99191 have the same value? False Does 0.9662 = 37? False Which is greater: 226/27367 or 1? 1 Is -7216 at most -310311/43? False Is 2/9 at most as big as -52726? False Is 108544 smaller than 108546? True Which is greater: -1 or -5/44747? -5/44747 Is 1/13980 equal to 1/6? False Do 138/19 and 7 have the same value? False Which is smaller: -16 or 9063? -16 Which is smaller: 1 or 2/4299373? 2/4299373 Is -2692 equal to -3054? False Which is bigger: -1/15021 or -1? -1/15021 Which is smaller: 697 or 690? 690 Is 33635 less than 33635? False Which is bigger: -9 or -13.0992? -9 Is 169466 greater than -0.1? True Is -3953736 <= -3953738? False Which is bigger: 5622 or 39362/7? 39362/7 Is -10068 >= -10068? True Are 211.7 and -2 equal? False Are 201473 and 1410316/7 nonequal? True Which is smaller: -705 or 124? -705 Which is bigger: -2/88039 or 1? 1 Is -1 at most as big as -15/300817? True Are -353321 and -353325 unequal? True Do 1 and -1/3311 have different values? True
{ "pile_set_name": "DM Mathematics" }
-1379/15 + 388/5. Suppose 5*x = q - 5, 0 = -q + 2*q - x - 13. Let h = q + y. Put -4, h, -2 in ascending order. -4, -2, h Let f = -0.111 - 0.289. Let u = 1 - 1. Put -0.3, u, f in decreasing order. u, -0.3, f Suppose 5*y - 3*n = 0, 5*n - 1 + 11 = 5*y. Let g = y + 0. Let w be (-36)/126 - (-3)/(21/16). Put w, g, 0 in decreasing order. w, 0, g Let c be 1/((-51)/(-6) + -6). Let o = 3 + -5. Let r = 3 + o. Put 2/11, c, r in ascending order. 2/11, c, r Let z = -15 + 17. Put 3, 0.3, z, -3 in decreasing order. 3, z, 0.3, -3 Suppose 5*b + 4 = 9, 4*p = b - 5. Sort p, 3, -6, 2 in ascending order. -6, p, 2, 3 Suppose -o - 16 = o. Let l(m) = m**2 + 8*m - 1. Let p be l(o). Sort p, -3, -4 in increasing order. -4, -3, p Suppose 2*h = 4*h - 6. Suppose 5*b + 1 = h*i, 2*i = b + b + 2. Sort i, 5, -1 in increasing order. -1, i, 5 Let z = -43189004/316635 - 2/63327. Let f = z - -136. Sort 4, 0.5, f in decreasing order. 4, 0.5, f Let k(s) = 2*s - 3. Let i = 9 + -7. Let l be k(i). Let j = -1 - -1. Sort 5, l, j in descending order. 5, l, j Let m be (-2)/3*255/(-34). Let t = -1 - 3. Suppose 0 = -3*a + 2*a - 2. Sort a, t, m in descending order. m, a, t Let k = 0 - -0.1. Let u = k + -0.4. Put u, -2/5, -3/7 in decreasing order. u, -2/5, -3/7 Suppose -2*b = -3*b - 3. Suppose 4*a - 3*f = 2*f - 11, -5*a + 3*f = 17. Sort a, b, 1 in increasing order. a, b, 1 Let v(f) = -f**3 + 2*f**2 + 4*f - 3. Let a be v(3). Suppose -8 = -a*r - 4*r. Suppose 5*o = r*y - 10, -2*o = -4*o - y + 5. Sort o, -3, -1 in decreasing order. o, -1, -3 Let j = -4.05 - -0.05. Let t = 2.7 + -3. Sort t, j, -2 in ascending order. j, -2, t Let i = -3 - 12. Let c = 19 + i. Sort c, -0.2, -7 in increasing order. -7, -0.2, c Let d = -1.8 - -2.8. Sort d, 3/10, 3 in decreasing order. 3, d, 3/10 Let m = -11 + 16. Suppose 0 = -m*q - 2 - 3. Suppose 0 = -0*w + 5*w - 15. Put 1, q, w in ascending order. q, 1, w Let l be (-44)/693 - (-4)/14. Sort 5, 3, l in decreasing order. 5, 3, l Let a(h) = 3*h**2. Let d be a(1). Suppose 5*p = 3*j + 2*j + 10, 0 = j + 2*p + 11. Suppose 1 = 6*o - 7*o. Put d, o, j in decreasing order. d, o, j Suppose 4*z - 18 = -2. Put -3, z, -1 in decreasing order. z, -1, -3 Let j = 0.55 - 0.15. Let t = 5 + -5.4. Let g = t + j. Put -4, g, 3 in descending order. 3, g, -4 Let b = 12 + -12. Sort b, 4, -2/15 in ascending order. -2/15, b, 4 Let c = 19.4 - 19.2. Sort -2, c, 0.11 in ascending order. -2, 0.11, c Suppose -2*r + 5*r = 12. Let m be 3/4*(r - 8). Let j = 5 - 3. Put -5, m, j in descending order. j, m, -5 Let b = -2 + 2. Let u = b + 1. Sort 5, u, -3 in ascending order. -3, u, 5 Let t(p) = -p - 1. Let q be t(3). Put 2, 1, -3, q in ascending order. q, -3, 1, 2 Suppose 3 = j - 2. Sort -2, 6, j in descending order. 6, j, -2 Let w = -3.07 + 0.07. Let q = w + 4. Let o = -0.1 - 0.2. Put q, o, 0.1 in decreasing order. q, 0.1, o Let n be (20/6)/((-8)/(-12)). Suppose -n*i - 7 = 2*s, -s + 3*i = -0*s - 13. Sort 2, -4, s in ascending order. -4, 2, s Let l = 2 + 0. Suppose m = -m, l*a = -4*m. Let u be 2/5 - (3 - (-84)/(-15)). Sort -2, a, u in descending order. u, a, -2 Suppose -2*a + 2*k + 16 = k, -k - 46 = -5*a. Suppose -4*c + 5*s - 35 + a = 0, -5*c = -s + 26. Put 4, 3, c in increasing order. c, 3, 4 Suppose -5*l = -k - 8, -2*l + k = -0*l - 5. Sort l, 9, -2. -2, l, 9 Let j(l) = l + 1. Let p be j(-6). Let f = 15 + -10. Put p, f, 4 in descending order. f, 4, p Let i = -0.2 - -0.37. Let m = i + 0.03. Sort 1/3, m, -2 in decreasing order. 1/3, m, -2 Suppose 77*t - 79*t - 10 = 0. Sort -7, 4, -4, t in increasing order. -7, t, -4, 4 Suppose 1 = 5*y + 71. Suppose -3*t = -18 - 9. Let m = y + t. Sort 5, 2, m in decreasing order. 5, 2, m Suppose 2*q + 14 = 4*i, -4*q + 1 = -2*i - 1. Put 1/4, q, -0.5 in descending order. q, 1/4, -0.5 Suppose 2*l - 6 = -0. Let c = -27 - -27. Sort 1, l, c in increasing order. c, 1, l Suppose p - 10 = 4*n, 2*p + n + 16 = -3*n. Let l(a) = -a + 0*a - 2*a - 3. Let x be l(-2). Put x, -1, p in descending order. x, -1, p Let v be (-2)/3 + 2/3. Let g = -0.5 - -0.4. Let y = 0.2 + 0. Sort v, y, g. g, v, y Let g be (-1 - (-1 - -1))*11. Let c(j) = j**2 + 8*j. Let y be c(-5). Let d = g - y. Sort 3, -5, d in increasing order. -5, 3, d Let m be 3 + -1 + -1 + 9. Suppose 2*s = -16 + m. Put s, 5, 0 in increasing order. s, 0, 5 Let k = 3/34 - 23/68. Sort k, -5, 1, -1. -5, -1, k, 1 Let x be ((-2)/18)/(8/48). Let k be (1 - 0) + (-15)/20. Sort k, x, 2. x, k, 2 Let z be (-9 - -12) + (-22)/8. Put z, -2/5, 0.4 in ascending order. -2/5, z, 0.4 Let g = -0.28 - 0.02. Let v = 0.1 + g. Let s = -17 - -18. Sort s, v, -2/5. -2/5, v, s Let h be 10/(-6)*(1 - (-4 - -2)). Sort 17, -4, 0, h in decreasing order. 17, 0, -4, h Let n(g) = -g - 10. Let l be n(-12). Suppose -1 = -3*b - 2*u + 1, 0 = 4*b + 4*u. Suppose -b*s + 8 = l*s. Sort s, 0, 0.4 in increasing order. 0, 0.4, s Let b be 75/70*3*7/18. Sort -2, -3, -0.1, b in increasing order. -3, -2, -0.1, b Let z = 1 - -4. Suppose 16 = 4*u, -3 - 85 = -2*v + 4*u. Let a = v - 259/5. Sort 2, z, a in descending order. z, 2, a Suppose -14*w + 96 = 18*w. Let n = 8 + -3. Suppose -n*l = -9 + 29. Put l, w, 2 in ascending order. l, 2, w Let y = -4.02 + 0.02. Let o = -4 + -20. Let x = 24 + o. Sort x, -0.4, y in decreasing order. x, -0.4, y Let i = -6 + 6. Let a(j) = j - 6. Let n be a(10). Suppose -2*f = -n*x - 12, 2*f - 2*x = -5*x - 2. Put -3, f, i in decreasing order. f, i, -3 Let n(z) = z**3 + 7*z**2 - 8*z + 10. Let o be n(-8). Suppose -2*k + 4*k + o = 0. Put 0.2, -2, k in ascending order. k, -2, 0.2 Suppose q - 16 = -17. Let i be 1/(2 + 14/(-8)). Suppose 4 = -4*y, 5*c + 12 = 2*y + i. Put q, 3, c in descending order. 3, q, c Let p = 117/2 + -589/10. Sort p, -0.3, -2. -2, p, -0.3 Let r be 0/(2 + 1 - 1). Let t be 10/(-4) - -2 - r. Let u = 5 + -1. Put u, 1/7, t in descending order. u, 1/7, t Let l = 1.94 + -2. Let w = -0.36 - l. Let d = -0.18 - -0.08. Put d, -4, w in decreasing order. d, w, -4 Let i be 104/28 + (-2)/(-7). Let c(l) = -l**3 + 5*l**2 - 3*l + 1. Let s be c(i). Suppose 2*o = -3*o - 15. Sort s, o, -5 in descending order. s, o, -5 Let f be 2/(-6) + (-22)/6. Suppose 9 = -0*s + 3*s. Suppose 17 = -4*b - s. Put f, b, 2 in ascending order. b, f, 2 Suppose -q - 1 = 5*d, q = 5*d + 5 + 4. Put -12, -3, q in decreasing order. q, -3, -12 Let s = 0.4 + -0.9. Put 3, -2.3, s in descending order. 3, s, -2.3 Suppose -4*t = -t - 3. Sort 5, -5, t. -5, t, 5 Let s be (-6)/((-90)/(-25))*-3. Sort -3, 1, s in ascending order. -3, 1, s Suppose 0*l = -8*l - l. Put -3, 5, 10, l in decreasing order. 10, 5, l, -3 Let a = 2 + 2. Let m(t) = -6*t**2 + 3*t**2 - 1 + 3*t - t**2 + 3*t**2. Let j be m(4). Sort 1, a, j. j, 1, a Let h(z) = -z**2 + 5*z + 8. Let m be h(6). Let c = m - 1. Sort c, 2, 3. c, 2, 3 Let f(l) = l**3 + 19*l**2 + 16*l - 35. Let o be f(-18). Put 5, o, 3 in increasing order. o, 3, 5 Let t = 2 + -2.3. Put t, 0.1, 1 in increasing order. t, 0.1, 1 Suppose 3*k - 21 = 3. Let h be (-2)/(k/3)*4. Put h, 2, 3 in ascending order. h, 2, 3 Let o = 5 - 4.3. Let w = o - 0.2. Put 0.4, -2, w in decreasing order. w, 0.4, -2 Let m = 197.3 + -154.22. Let f = m - 44. Let h = 1 + f. Sort 0.1, 5, h in ascending order. h, 0.1, 5 Suppose -33 = -8*j + 15. Suppose 0 = -0*u + j*u - 12. Suppose 2*f - 16 = -2*f. Sort u, f, 3 in ascending order. u, 3, f Let k = 10 + -21. Let x = k + 11.2. Suppose 8 = 3*n - 5*t, 3*n - 2*t = 2*t + 4. Put -0.04, n, x in decreasing order. x, -0.04, n Let s = 0 + -0.2. Let c = s + 1.2. Let r = -12 - -10. Sort c, r, -0.4 in increasing order. r, -0.4, c Let k be 28/(-42)*6/(8/4). Let r = -1.5 - -2. Put r, k, 2 in decreasing order. 2, r, k Let u be 0 + 1*1/4. Let l = 0.2 + 2.8. Let j = 2.8 - l. Put -4/3, u, j in descending order. u, j, -4/3 Let f(d) = -d**3 - 5*d**2 - 4*d. Suppose -3*w + 12 = -6*w. Let g be f(w). Suppose 4*l = 4, 4*j = -0*j + l + 11. Put j, 1, g in descending order. j, 1, g Suppose 0 = r + 4 - 7. Suppose -4*d + 1281 = -5*l, -4*l - r*d = -2*l + 517. Let c = 1033/4 + l. Sort 1, -1/2, c in descending order. c, 1, -1/2 Let d(x) = x - 3. Let t be d(3). Let p(o) = o**3 - o**2 + o + 2. Let l be p(0). Put t, 5, l in descending order. 5, l, t Let o be (-1)/(-2)*0/5. Let k(j) = j - 1. Let q be k(o). Sort 2, -14, q in ascending order. -14, q, 2 Let w = 41 + -40.8. Let f be ((-2)/4)/(3/(-2)). Sort -4, f, w. -
{ "pile_set_name": "DM Mathematics" }
d to four decimal places? -1.2406 What is 1659.10866 rounded to the nearest 100? 1700 What is -10558354.22 rounded to the nearest 10000? -10560000 What is 0.00260795873 rounded to 6 dps? 0.002608 Round -60935.34643 to the nearest one thousand. -61000 What is 835.550249 rounded to the nearest 10? 840 What is -109701112 rounded to the nearest ten thousand? -109700000 What is -16483.1093 rounded to the nearest 10? -16480 Round -0.000138748351 to 7 decimal places. -0.0001387 Round 0.0000034631607 to 7 dps. 0.0000035 Round 0.156095174 to four decimal places. 0.1561 What is -211894649 rounded to the nearest 1000000? -212000000 What is -0.00071896598 rounded to four decimal places? -0.0007 What is 0.0013266573507 rounded to 7 decimal places? 0.0013267 What is -0.146057816 rounded to 3 decimal places? -0.146 Round -29600.1577 to the nearest 100. -29600 Round 11.541079155 to two dps. 11.54 What is 0.000063966959 rounded to six dps? 0.000064 Round -0.00190579165 to six decimal places. -0.001906 Round 84436.21 to the nearest 100000. 100000 What is -0.000448256057 rounded to seven decimal places? -0.0004483 What is 931.785867 rounded to the nearest one hundred? 900 Round -0.01750793172 to 5 dps. -0.01751 Round 0.004319100709 to 6 dps. 0.004319 What is 0.000329261392 rounded to 5 decimal places? 0.00033 What is 4495.47145 rounded to the nearest one hundred? 4500 Round 0.000009411448 to 6 dps. 0.000009 What is 26.8041961 rounded to 1 dp? 26.8 What is 255.10061 rounded to the nearest ten? 260 What is 0.0012421797732 rounded to five decimal places? 0.00124 Round 0.0797111811 to six decimal places. 0.079711 What is 231326789.2 rounded to the nearest 1000? 231327000 What is -599.45608 rounded to the nearest one hundred? -600 What is 107.1929133 rounded to 0 dps? 107 Round -0.000002653656887 to 7 dps. -0.0000027 Round 0.02112041002 to five dps. 0.02112 Round 207703.7062 to the nearest 10000. 210000 Round -11.5402943 to 2 decimal places. -11.54 Round -536087.645 to the nearest one hundred. -536100 What is 5772517 rounded to the nearest one thousand? 5773000 Round -0.02731325 to 2 dps. -0.03 What is 6.80804706 rounded to 4 dps? 6.808 Round 63.87059413 to two dps. 63.87 Round 9054596000 to the nearest 1000000. 9055000000 What is -14232735.9 rounded to the nearest ten thousand? -14230000 Round 0.000851789815 to 7 dps. 0.0008518 What is 0.001211789899 rounded to four dps? 0.0012 What is -0.590822625 rounded to 2 dps? -0.59 Round 4237.08177 to the nearest integer. 4237 Round -8484.1479 to the nearest 100. -8500 What is -0.00409969919 rounded to 3 dps? -0.004 Round 1094611.975 to the nearest one thousand. 1095000 Round -1306.0928505 to the nearest 100. -1300 Round 0.26742473 to four dps. 0.2674 What is 410.3861885 rounded to the nearest one hundred? 400 Round -2.863730771 to three dps. -2.864 What is -83.477301 rounded to 2 decimal places? -83.48 What is 838713.6188 rounded to the nearest one thousand? 839000 What is 0.0000001322709 rounded to seven decimal places? 0.0000001 Round -10.6491977 to two dps. -10.65 Round -0.0000600402697 to seven dps. -0.00006 What is 630193821.3 rounded to the nearest 100000? 630200000 Round -0.000223954627 to six dps. -0.000224 Round 0.000000655336296 to six dps. 0.000001 What is -13017.5633 rounded to the nearest 100? -13000 What is -0.031862163 rounded to three dps? -0.032 What is 0.000057788048 rounded to 7 decimal places? 0.0000578 What is -4097.02306 rounded to the nearest one hundred? -4100 What is 62.7981644 rounded to 2 dps? 62.8 What is -5.005855575 rounded to four dps? -5.0059 What is 684193.061 rounded to the nearest 100? 684200 Round 1075.99444 to 1 dp. 1076 What is 1.97935285 rounded to 2 decimal places? 1.98 Round 18.998257 to two decimal places. 19 What is 15962.141631 rounded to the nearest 1000? 16000 What is 0.000772296782 rounded to six dps? 0.000772 Round -5738.7997 to the nearest 10. -5740 What is -136899.4615 rounded to the nearest ten thousand? -140000 What is 0.0021837666 rounded to six dps? 0.002184 What is -0.00560513614 rounded to five dps? -0.00561 What is 1831889.99 rounded to the nearest one hundred thousand? 1800000 What is -2966902.8 rounded to the nearest one thousand? -2967000 What is -328564923 rounded to the nearest 100000? -328600000 What is -0.001684772429 rounded to 4 decimal places? -0.0017 Round -893327981 to the nearest 1000000. -893000000 What is 0.00098798025 rounded to seven decimal places? 0.000988 What is 0.0060682438 rounded to four decimal places? 0.0061 What is -3919879.84 rounded to the nearest 1000? -3920000 What is 0.000309491228 rounded to seven decimal places? 0.0003095 What is -0.004517144701 rounded to 5 decimal places? -0.00452 Round 6020865.43 to the nearest ten thousand. 6020000 Round 0.312612171 to one decimal place. 0.3 What is 0.168837833 rounded to two decimal places? 0.17 What is -0.00002643532474 rounded to seven dps? -0.0000264 What is 1805.12245 rounded to the nearest integer? 1805 What is 3517.512637 rounded to the nearest 1000? 4000 Round 0.53071678 to 3 dps. 0.531 Round 6.37051399 to zero decimal places. 6 Round 233.22596 to the nearest integer. 233 Round -8401.949445 to the nearest one thousand. -8000 What is -151.38081 rounded to one dp? -151.4 Round 1.783722572 to 1 decimal place. 1.8 What is -4082.18617 rounded to the nearest one thousand? -4000 What is -5278417500 rounded to the nearest 1000000? -5278000000 What is 0.00050774608 rounded to four dps? 0.0005 What is -5853.0029 rounded to the nearest 100? -5900 Round -0.00074587936 to four decimal places. -0.0007 What is 5.4302248 rounded to three dps? 5.43 Round -973.396595 to 1 decimal place. -973.4 What is 576626.731 rounded to the nearest 100? 576600 What is 0.00000401588307 rounded to seven decimal places? 0.000004 What is -0.001375206537 rounded to four decimal places? -0.0014 Round -0.222110037 to 3 dps. -0.222 What is 1.71883651 rounded to 3 dps? 1.719 Round -0.000004104999854 to 6 decimal places. -0.000004 Round 0.00964265327 to six decimal places. 0.009643 Round -6.10857839 to 4 decimal places. -6.1086 Round -8.982539523 to 0 dps. -9 What is 165491.2633 rounded to the nearest 10? 165490 Round -55388.011 to the nearest 100. -55400 What is -16.89028563 rounded to one decimal place? -16.9 What is -13415.73995 rounded to 1 decimal place? -13415.7 What is 4212986.29 rounded to the nearest 100000? 4200000 Round -648.4640633 to the nearest integer. -648 Round -0.388664913 to one decimal place. -0.4 What is -23382794 rounded to the nearest 1000000? -23000000 What is 5803206.02 rounded to the nearest one million? 6000000 What is 0.000191712472 rounded to six decimal places? 0.000192 Round -51391433.1 to the nearest one million. -51000000 Round -0.0150556706 to five decimal places. -0.01506 Round -2239.90184 to the nearest one hundred. -2200 Round -0.00004005209706 to five dps. -0.00004 Round -4.23775585 to 3 dps. -4.238 Round 1113556.15 to the nearest one thousand. 1114000 What is -14.1742841 rounded to 2 dps? -14.17 Round -35020.02057 to zero dps. -35020 What is -0.00014552381 rounded to four decimal places? -0.0001 What is -0.00630163957 rounded to five decimal places? -0.0063 Round -2.28726834 to 3 dps. -2.287 What is -16497.9712 rounded to the nearest 100? -16500 What is -4.16786554 rounded to 2 decimal places? -4.17 Round 4.64779383 to 3 decimal places. 4.648 What is -42064815 rounded to the nearest ten thousand? -42060000 Round -51140050.3 to the nearest one thousand. -51140000 What is 500.2969411 rounded to the nearest integer? 500 Round -32.6804515 to three decimal places. -32.68 What is 82096387 rounded to the nearest one million? 82000000 Round -0.0014055681 to 3 decimal places. -0.001 What is 355704.389 rounded to the nearest 100? 355700 Round -180373.701 to the nearest one hundred. -180400 Round 66520980.2 to the nearest 1000000. 67000000 Round -0.00000015683524 to 7 dps. -0.0000002 Round -645818884 to the nearest one million. -646000000 What is 3631700381 rounded to the nearest 100000? 3631700000 What is -12779.3535 rounded to the nearest 100? -12800 Round 1.59641119 to four dps. 1.5964 What is 45.3370564 rounded to 1 dp? 45.3 Round -786.07954 to one decimal place. -786.1 What is 0.001148677286 ro
{ "pile_set_name": "DM Mathematics" }
+ 515 = 5*s - 6*f. Is 39 a factor of s? False Suppose -2*d + 136 = -4*p, 4*d + 14 = -3*p + 242. Is d a multiple of 20? True Let o(j) = -6*j - 29. Is o(-51) a multiple of 11? False Let i(v) = -148*v - 4. Let m be i(-4). Suppose 0 = -4*k + 10*k - m. Is 7 a factor of k? True Let t = -3701 - -5329. Is 44 a factor of t? True Suppose 5*f - 5 = -2*r + 6, 4*r = -5*f + 27. Suppose r*n - 103 - 57 = 0. Is 20 a factor of n? True Let v(b) = 84*b - 3. Does 5 divide v(2)? True Let y(p) = 6*p + 150. Is y(-23) a multiple of 3? True Suppose -12*f - 59 = -311. Suppose -2*t + f + 1 = 0. Is t a multiple of 7? False Let o(l) = -l**2 + 9*l - 14. Let a be o(6). Let q = 26 - a. Does 22 divide q? True Let s = -80 - 1. Suppose 5*h - 2*h = 387. Let o = h + s. Is o a multiple of 16? True Let x = 1404 + 1476. Does 32 divide x? True Let q = 7877 + -3498. Does 151 divide q? True Suppose 4*g + 12 = -2*q, 4*q + 4 + 5 = -3*g. Suppose -2*t - 1 + 29 = 2*f, -t - 5*f - 2 = q. Is 6 a factor of t? True Suppose 36 = 17*f - 21*f. Is ((-17)/2)/(f/54) a multiple of 17? True Let s(g) = -53*g + 451. Does 3 divide s(5)? True Is 12 a factor of -5 - -7 - 2/((-6)/459)? False Suppose 6*o - o - 365 = -g, 3*g = -o + 1081. Does 20 divide g? True Let d(b) be the first derivative of b**4/4 + 13*b**3/3 + 7*b**2/2 + 6*b - 17. Does 11 divide d(-12)? True Does 5 divide (-1 - (-744)/(-16))/(1/(-4))? True Suppose 5*x - 648 = -4*o, 4*o = 5*x + 2*o - 666. Suppose -g = -2*g + x. Is 11 a factor of g? True Let i = 3484 + -2460. Is i a multiple of 35? False Suppose 4*c + 7 - 3 = 0. Let z(s) = -18*s - 1. Is 7 a factor of z(c)? False Let n = -394 + 666. Does 17 divide n? True Let s = -828 - -2018. Is s a multiple of 7? True Let c(i) = 5*i**2 - 7*i - 5. Let q(p) = -6*p**2 + 7*p + 6. Let d(v) = -5*c(v) - 4*q(v). Let x be d(8). Let j = x + 16. Is j a multiple of 3? True Suppose 210 + 2660 = 10*a. Is a a multiple of 16? False Let s = 5 - 5. Suppose -2*l + l = c - 12, -5*c - 4*l + 57 = s. Suppose c + 5 = n. Does 4 divide n? False Suppose 13*j - j = 684. Suppose j = 6*t - 645. Is t a multiple of 13? True Let u = -1 + 134. Suppose -u + 689 = 2*v. Is v a multiple of 12? False Let l(z) = 3*z - 10. Suppose -5*h = -3*o - 116, 0*o = -2*h + o + 46. Is l(h) a multiple of 14? True Suppose -1808 = -19*y + 149. Is 4 a factor of y? False Suppose 0 = 2*u - 0*u + 10, -4*u - 170 = -x. Does 6 divide x? True Let f be 1*7*(33 + -76). Let m = f + 622. Does 21 divide m? False Suppose 0 = x + 7*x - 64. Suppose 3*v - 424 = 3*o + o, 0 = -4*o + x. Is v a multiple of 24? True Suppose -21*r + 6*r = -4635. Does 35 divide r? False Suppose 0 = -0*j + 2*j - 12. Suppose 0 = -j*s + 7*s - 7. Suppose 54 = -s*f + 9*f. Does 10 divide f? False Suppose -5*t - 22 + 57 = 0. Let c(f) = 3*f**2 + 4*f + 7. Let s(p) = p**2 + 1. Let y(l) = -c(l) + 4*s(l). Is 3 a factor of y(t)? True Let q be 2 - 0 - 15/(-15). Suppose 4*g = 8, -2*g = -q*n - 2*n + 976. Is 13 a factor of n? False Suppose -6*d + 2*o + 1388 = -0*o, -3*d + 678 = 3*o. Does 5 divide d? True Let x(z) be the third derivative of z**4/3 + z**3 - 5*z**2. Let h be x(7). Suppose 3*s - 82 = h. Does 24 divide s? True Let t(y) = y**2 - 6*y + 8. Let c be t(4). Suppose 0 = -d - 2*x + 22, 4*d - d - 3*x - 93 = c. Does 28 divide d? True Let i = 12 - 10. Suppose 6 = 4*h - 5*t, -i*h + 5*t = h - 2. Is (-123)/(-5) + h/10 a multiple of 16? False Let u(i) = -i**2 + 8*i + 22. Let d be u(10). Suppose 5*n = 2*v - 5*v + 176, d*n = -5*v + 325. Does 13 divide v? False Suppose -186*q = -181*q - 395. Is q a multiple of 56? False Suppose l = -0*l + m + 20, 4*l = 2*m + 76. Does 5 divide ((-126)/l)/((-1)/5)? True Let i(s) = s**3 - s**2 + 7*s + 93. Is i(0) a multiple of 10? False Let r = 118 + 5. Let l = r + 55. Is 54 a factor of l? False Let s = -1 - -4. Suppose -u + 5*u = -5*c - 26, -2*c - s*u - 16 = 0. Let b(m) = 6*m**2 + 1. Does 6 divide b(c)? False Is (472/(-32)*1)/(2/(-8)) even? False Suppose 1 = -d - 3*d + 3*f, -17 = -d - 5*f. Suppose 2*o = -4*a + 278, d*a + o = -o + 136. Is a a multiple of 13? False Suppose 43*z - 104 = 42*z. Is (39/(-2) - 0)/((-12)/z) a multiple of 31? False Let u be (460/(-25))/((-3)/30). Let t = -86 + u. Suppose 0 = -k + 3*a + t, 3*k + 0*a - 268 = -4*a. Is k a multiple of 22? False Let t(v) = v**3 + 15*v**2 - 17*v - 15. Let a be t(-16). Suppose -5*s + 3*f = -0*s - 15, 0 = -4*s + 5*f - a. Is 6 a factor of s? True Suppose -32*i + 10*i + 8800 = 0. Does 16 divide i? True Let c = -149 + 284. Suppose -n - 3*m = n - 54, 5*n + 2*m = c. Suppose -v + 5 = u, 5*u - 7 + n = 0. Is v even? False Suppose 0 = -v - 0*v + 5. Let n be (-3)/v + (-13)/(-5). Is (1 - n)*-2*13 a multiple of 26? True Is (-1 - 43/2)/(22/(-528)) a multiple of 15? True Let o(x) = 5*x**3 + 8*x**2 + 14*x + 9. Let h(c) = 9*c**3 + 17*c**2 + 28*c + 17. Let q(n) = 4*h(n) - 7*o(n). Is 13 a factor of q(-10)? True Is 5 a factor of 2 - (-14)/(-8) - 2457/(-12)? True Let s(p) = -3*p**2 - 3*p - 4. Let n(j) = -7*j**2 - 7*j - 9. Let d(b) = -4*n(b) + 9*s(b). Is d(-4) a multiple of 8? False Let q = 10 + -6. Suppose 6 = -q*n - 14, -3*s = 4*n - 220. Let h = s + -35. Is h a multiple of 15? True Suppose -6*u = -7*u + 3*c + 215, -426 = -2*u + 2*c. Does 6 divide u? False Let x(m) = -541 + 86*m**2 + 4*m + 535 - m**2. Is 18 a factor of x(2)? True Let p be (-2)/6*(6 - 12). Let m(i) = -i**3 - 10*i**2 - 8*i - 6. Let a be m(-9). Is 9 a factor of (-6 - -4)*a/p? False Let n(b) = -b**2 - 35*b + 56. Does 28 divide n(-28)? True Does 38 divide (35/(-3) + -1)/(12/(-576))? True Suppose -3*y + 607 = -719. Suppose 0 = 4*p - 3*d + 71 - y, 5*d - 110 = -p. Is 27 a factor of p? False Suppose 4*o = 5*q + 4345, -4*o - q - 3245 = -7*o. Is 20 a factor of o? True Suppose -4*p - 3 = -3*h - p, -5 = -h - 3*p. Let u be (-3)/h - 2261/(-34). Let y = 166 - u. Is 32 a factor of y? False Let g(m) = m**3 - 9*m**2 - 10*m + 2. Let v be g(10). Suppose -v*b - 152 = -w, 5*w - 2*b - 90 - 678 = 0. Does 22 divide w? True Let x be -14*(-6)/(-28)*-20. Suppose 5*t - x - 90 = 0. Does 6 divide t? True Let g = -17 - -21. Suppose g + 2 = 3*n. Is 14 a factor of 8/n - (6 + -25)? False Suppose 2*q + 40043 + 24761 = 0. Is q/(-119) + 2/(-7) a multiple of 34? True Suppose 0 = -7*k + 10 + 11. Suppose -4*d = 0, 0*l = 2*l - k*d - 228. Is 13 a factor of l? False Suppose 69 - 356 = w. Let k = 431 + w. Suppose 18*b - 16*b = k. Is 24 a factor of b? True Let g(r) = 19*r - 51. Is g(9) a multiple of 60? True Suppose 28*s - 4*u = 32*s - 5500, -4*s + 5508 = 2*u. Is s a multiple of 26? False Suppose 120 = -5*f + 3*t, 0 = -4*t + 3 + 17. Suppose -k = g + 8 + 6, -4*g = -k + 46. Let o = g - f. Is o a multiple of 7? False Let u(a) = -a**3 - 7*a**2 - 5*a + 8. Let h be u(-6). Let y be 3/h - (-9)/(-6). Suppose 5*k + 3 - 143 = y. Is k a multiple of 7? True Let v(x) = -x**2 - 15*x - 17. Let n be v(-14). Let w be (1 - 1) + (1 - n). Suppose -2*m - s + 165 = 3*m, 121 = w*m + 3*s. Is 17 a factor of m? True Let n(d) be the first derivative of 4*d**4 + 3*d**2/2 - 5*d - 11. Let r = -21 - -23. Does 26 divide n(r)? False Let q(f) = -f**3 + 16*f**2 - 16*f + 19. Let t be q(14). Let r = t - 75. Suppose j - r = -3*j. Is 6 a factor of j? False Suppose -j + 6389 = 4*h, 0 = 2*h - 2*j + 5*j - 3207. Is h a multiple of 21? True Let c be 3 - (-3 - -4) - 22. Let o = -4 - c. Let i = 37 - o. Does 10 divide i? False Suppose -w + 15 = 4*w. Let p(x) = w*x - 6*x**3 - 2*x + 2*x**3. Does 3 divide p(-1)? True Let c = -37 + 7. Let f = -18 - c. Is 4 a factor of f? True Does 34 divide (-5 - (-2290)/50)/(2/10)? True Let w = 97 + -90. Suppose -w*x + 174 = -x. Is 4 a factor of x? False Suppose 5*c - 5*u = -8*u + 7718, -4*u = c - 1530. Does 16 divide c? False Let d(a) be the first derivative of a**6/120 - a**5/10 + a**4/6 + a**3 - 4*a**2 - 6. Let b(p) be the second derivative of d(p). Does 15 divide b(6)? True Let r = -2244 + 2676. Is r a multiple of 16? True Suppose -2*s = -0*s + 4*d - 3210, -2*s + 5*d = -3246. Suppose -7*h + s = -319. Is 32 a factor of h? False Let m(y) be the first derivative of y**3/3 - 7*y**2 + 4*y - 1. Does 33 divide m(19)? True Is 5 a factor of ((-108)/21)/((-28)/294)? False Suppose -38*k + 47*k = 3420. Does 10 divide k? True Suppose 2*n - 6 = n. Let c(o) = o. Let m be c(n). Suppose -9*s + m = -7*s. Is 3 a factor of s? True Suppose -5*h + 5*z + 108 = -747, 0 = -
{ "pile_set_name": "DM Mathematics" }
the closest to -3? (a) 0 (b) 2 (c) 4 a Which is the nearest to -1? (a) 5 (b) 0.02 (c) 2/3 b Which is the closest to 38? (a) 0.3 (b) -5 (c) 1/3 c Which is the nearest to 2? (a) 2/7 (b) 1 (c) 3.5 (d) -0.1 b What is the closest to -1 in 0.1, 34, -2/3? -2/3 What is the nearest to -2 in -0.01, 8, 3/4? -0.01 What is the nearest to 1 in -1, -0.08, -11, 1/6? 1/6 Which is the closest to 137? (a) -3 (b) -1 (c) 0 (d) -0.4 c What is the nearest to -507 in -4, -0.2, 1? -4 What is the closest to -1 in -0.1, -0.5, -3, -933? -0.5 What is the nearest to -0.2 in 0.08, -0.1, -2/15, 0.1? -2/15 What is the nearest to -0.1 in 1, 4, -1/4, 1/4? -1/4 What is the closest to -12 in 1, -3/40, -2? -2 What is the nearest to -1/2 in -2/5, 1, 4.434? -2/5 Which is the closest to -1/70? (a) 0.1 (b) 2/3 (c) 0 (d) 1 c Which is the closest to -1/4? (a) -3/5 (b) -4 (c) -1 a Which is the closest to -2/7? (a) 1/12 (b) 1/76 (c) 3/4 b What is the nearest to 2 in 0, 2, 2/29, 1? 2 Which is the closest to -2/11? (a) 0 (b) 3 (c) 0.3 (d) 246 a What is the nearest to 1 in 0.1, -0.3, -5, -0.154? 0.1 Which is the closest to -2/7? (a) -0.2 (b) -2 (c) 1.1 a What is the nearest to -1/4 in 3, -292, -0.4? -0.4 What is the closest to 1 in -0.3, -16, -2.6? -0.3 What is the closest to 0.02 in 0.1, 5, 0? 0 What is the closest to 0.076 in 2, -2/5, -4/5, 1? -2/5 What is the nearest to -1/3 in 3, 1, -4, 1/5? 1/5 What is the nearest to -3/4 in -1/4, 0.5, 0.3, -3? -1/4 Which is the nearest to 1? (a) 14 (b) 0.2 (c) -2/5 (d) 0.1 b What is the nearest to -1/2 in -4, 5, 1/10, 0? 0 What is the closest to -22 in 2, 2/7, 0.2, -3? -3 Which is the closest to -1? (a) 11 (b) 2/3 (c) 5 b Which is the closest to -2/7? (a) 0.3 (b) 28/13 (c) -5 a What is the closest to 3/4 in -1/4, -4, -9, 2/5? 2/5 What is the closest to 1 in 3/8, -1, -5, 0.15? 3/8 Which is the closest to -1? (a) 0.072 (b) -0.2 (c) 2/3 b What is the nearest to 76 in 0.5, -2/5, -0.04, 1/4? 0.5 Which is the nearest to -0.1? (a) -2 (b) 4 (c) -0.0214 c What is the closest to -4/5 in 0.3, 3, -0.3, 8? -0.3 Which is the nearest to 0.1? (a) -2/17 (b) 3/2 (c) 3/5 a What is the nearest to 2 in -2.7, -0.2, 1/4? 1/4 Which is the closest to -0.1? (a) 5 (b) -2 (c) 1/3 (d) 6 c What is the closest to -94 in -1/6, 0.02, 4? -1/6 What is the nearest to -0.1 in -1/8, 0.1, -0.19, -2/9? -1/8 Which is the nearest to -1? (a) -1/4 (b) 22 (c) 4 a What is the closest to 0.1 in 5, -15, 4? 4 Which is the closest to -1/2? (a) 5 (b) 1.37 (c) -2/25 c Which is the nearest to -0.2? (a) 16 (b) -0.4 (c) -4 b What is the nearest to 0.02 in -12, -2/15, 0.5? -2/15 Which is the nearest to -0.01? (a) 0.5 (b) 0.2 (c) 5 (d) 1.8 b Which is the nearest to 2? (a) 0.5 (b) 0.2 (c) 2/15 (d) -3/7 a Which is the closest to -2? (a) -5 (b) -2 (c) 5 b What is the nearest to 0.5 in -6/5, 4, 2, -9? 2 What is the nearest to -1 in -13, 0.2, 3, 1? 0.2 What is the nearest to -1 in -2/23, 498, -0.2? -0.2 What is the nearest to -0.1 in 1.3, -5, 4, -1? -1 What is the nearest to -1/5 in 0.15, -0.2, -0.14? -0.2 What is the nearest to -0.03 in 0, -0.1, 3? 0 What is the closest to -6 in 0.01, 0.3, -3? -3 What is the closest to 2 in 2/39, -0.2, 5? 2/39 Which is the closest to 1/3? (a) 0.2 (b) 4 (c) 9/5 (d) 3 a What is the nearest to -0.7 in 3, -5, -0.1? -0.1 What is the nearest to 2 in 2/317, -2/7, -0.1, 4/5? 4/5 What is the nearest to 33 in -1/3, -4, 4/7, 0.01? 4/7 What is the nearest to -1/3 in -0.2, 0.5, -1? -0.2 What is the closest to 1/3 in 15, 0, 1/4? 1/4 What is the nearest to -2 in 0.2, -18, -34/7? 0.2 Which is the closest to 0.1? (a) 19 (b) 39 (c) 0 (d) -1/8 c Which is the closest to -0.1? (a) 94 (b) -6 (c) 3 c Which is the nearest to -0.2? (a) 6 (b) -4 (c) 4 b What is the nearest to 2 in 5, -5, -4/7, 1/6? 1/6 Which is the nearest to 2? (a) 2 (b) -25 (c) 7 a What is the closest to -2/7 in 1, -16, 4? 1 Which is the closest to 0.03? (a) -5 (b) -2 (c) -1 c Which is the closest to -2/3? (a) 3 (b) -0.5 (c) 2 (d) 7/8 b Which is the closest to -4? (a) 0 (b) 120 (c) -0.2 c Which is the closest to 1/5? (a) -0.3 (b) 3 (c) -1/6 c What is the closest to 3 in 0.2, 0.1, 0.13? 0.2 What is the nearest to 1 in 0.3, 5/7, 0.1? 5/7 Which is the nearest to 3/29? (a) -2/15 (b) 5 (c) 13/3 a Which is the nearest to -2? (a) 5 (b) -0.3 (c) -4 (d) 1/2 b Which is the nearest to 1/4? (a) 8 (b) -200 (c) 3/7 c What is the nearest to -1 in -1, -160, -2/11? -1 Which is the nearest to -1? (a) -2/19 (b) 5/2 (c) -73 (d) 2/5 a Which is the closest to -0.1? (a) -2/11 (b) -5 (c) -0.05 (d) 0 c What is the closest to 0 in -5, 3, -1, -7? -1 What is the closest to -1 in -3/20, -13, 3? -3/20 Which is the closest to 31? (a) 3 (b) 2 (c) 6 c Which is the closest to 0? (a) -0.3 (b) -1 (c) 20 (d) 5 a Which is the nearest to 0? (a) 1/7 (b) 23 (c) 1 (d) 2/19 d Which is the nearest to 9? (a) -3 (b) -2/51 (c) 2 c Which is the nearest to -0.1? (a) -3/8 (b) 1 (c) -3 (d) -4/3 a Which is the closest to 1? (a) -4/7 (b) -2/9 (c) -0.2 (d) 5/3 d Which is the closest to 3/5? (a) -0.15 (b) 2/13 (c) 0 (d) 3 b What is the nearest to 0.03 in 5/2, 1/8, -0.4, 8? 1/8 What is the closest to 2/9 in 2/3, 2, 9/2? 2/3 What is the closest to -2/11 in -0.07, 3, -2/3? -0.07 Which is the closest to -0.1? (a) 1 (b) 3 (c) -2/7 (d) -0.1 d What is the nearest to -2/5 in 0.2, 3, 0.4, -5? 0.2 Which is the closest to 5? (a) -3 (b) 2 (c) -8 (d) 2/9 b Which is the nearest to -1? (a) -3/4 (b) 26 (c) 2 (d) -37 a Which is the closest to -12/11? (a) 1/8 (b) 4 (c) -15 (d) -0.5 d Which is the nearest to 6.3? (a) -0.5 (b) 0.4 (c) -7 (d) 4 d What is the closest to -2 in 4, 0, 1/7, -0.4? -0.4 What is the closest to 9 in -1/6, 1, -1/14? 1 Which is the nearest to 2? (a) -4 (b) 7 (c) -1 c Which is the closest to -1/2? (a) 1 (b) 0.4 (c) 0.9 (d) -6 b Which is the nearest to 15? (a) 1 (b) 4 (c) 0.061 b What is the nearest to 1/4 in -2/3, -1/3, -4? -1/3 Which is the closest to -5? (a) -4 (b) -2 (c) -3 (d) 0.2 a Which is the nearest to 0.3? (a) 5 (b) 2/9 (c) -2 b What is the nearest to -0.01 in -3/7, 9, -4? -3/7 What is the nearest to -1/3 in 2/7, -4/7, -5, 5? -4/7 What is the nearest to -1/3 in 0, -17, 5, -5? 0 What is the closest to 1 in -14, -6, -2/19? -2/19 What is the nearest to -0.1 in 0.2, 4/5, 83? 0.2 Which is the closest to 1/3? (a) 5 (b) 7 (c) 1/3 c What is the nearest to 0.1 in -0.5, 1.2, -0.37, -5? -0.37 What is the closest to -1/2 in -10, -2, 2/7? 2/7 What is the closest to -2/7 in 0.4, 1/5, 10, 2/9? 1/5 Which is the nearest to 0? (a) 0.5 (b) 2/179 (c) -0.079 (d) -0.4 b Which is the closest to 1/2? (a) 4/5 (b) -8 (c) 1/27 a What is the closest to -2/3 in -1, 3/5, 2/11? -1 Which is the nearest to -0.1? (a) -5 (b) -0.1 (c) -0.5 (d) -2/29 b What is the nearest to 1/4 in -22, 0, 2/9? 2/9 What is the nearest to 0.03 in 6/11, 2, -2/7, 0.19? 0.19 What is the nearest to 0 in -0.3, -0.2, 0.19? 0.19 Which is the closest to 2? (a) 5 (b) -2/7 (c) -14 (d) -5 b Which is the closest to -4? (a) 25 (b) -0.5 (c) -1 (d) -4 d What is the closest to -1 in -0.5, 254/5, 1, -0.2? -0.5 Which is the nearest to 4? (a) 0.06 (b) 0.7 (c) 0.2 b What is the closest to 2/3 in 0, -39, 0.1? 0.1 What is the nearest to 0 in 2/5, 3/8, 1, 0.1? 0.1 Which is the nearest to -1/152? (a) -0.1 (b) 0.1 (c) 5/6 (d) 2/5 a What is the closest to 1/3 in -7, 4, 3? 3 What is the nearest to 385 in -1, 2/5, 4/3, -4? 4/3 What is the nearest to 1 in 0.3, -55, 2, 1/2? 1/2 What is the closest to -1 in 4, -298, -0.07? -0.07 What is the nearest to 0 in 1/5, -3.3, -0.7? 1/5 What is the closest to -1 in 0.2, -0.1, 0, 0.1? -0.1 Which is the closest to 1? (a) 0.7 (b) 0.1 (c) -6/5 (d) -5 a What is the closest to 0.1 in -32, 5, 3? 3 What is the nearest to -1/2 in 0, -48, -4? 0 Which is the closest to -1? (a) -8.8 (b) 0 (c) 4 (d) -4 b Which is the nearest to -1? (a) -1 (b) 49 (c) 0.12 a Which is the closest to 0? (a) 2/11 (b) 79 (c) 6/13 a What is the closest to -1/12 in -1.9, 0, -4? 0 Which is the nearest to 0.08? (a) 0 (b) -0.5 (c) -82 (d) 4/3 a What is the nearest to -7 in -4/7, 7/5, 5? -4/7 Which is the closest to 2/7? (a) -1
{ "pile_set_name": "DM Mathematics" }
0924 by -7731. -4 Divide 80227 by -1. -80227 What is 12034820 divided by -4? -3008705 158370 divided by -79185 -2 Calculate -147952 divided by -147952. 1 Divide 582 by -3747. -194/1249 Calculate -2028 divided by -26. 78 Divide 711192 by 4. 177798 Divide 3682 by -106. -1841/53 -1220835 divided by -406945 3 3798 divided by 1899 2 -2240 divided by 4 -560 Calculate 1404 divided by 6. 234 What is 1241514 divided by -6? -206919 159480 divided by 13290 12 Calculate -17 divided by 145934. -17/145934 -742403 divided by 6 -742403/6 9 divided by -282685 -9/282685 What is 1261 divided by 137? 1261/137 -4491 divided by -8 4491/8 Calculate 60 divided by -10882. -30/5441 Divide 1689624 by -4. -422406 -10566 divided by -10566 1 -503 divided by -120 503/120 Calculate 326697 divided by 3. 108899 What is -23335 divided by -219? 23335/219 Calculate 36599 divided by -6. -36599/6 Calculate -41858 divided by 34. -20929/17 What is 2 divided by -833744? -1/416872 Calculate 13902 divided by -662. -21 -8784 divided by 18 -488 Divide -6391 by 141. -6391/141 -19604 divided by 4 -4901 Calculate 90099 divided by -30033. -3 Divide 133 by -12281. -133/12281 What is 396080 divided by -4? -99020 1509 divided by -303 -503/101 135248 divided by -214 -632 What is -295632 divided by -8? 36954 Divide 16383 by 43. 381 Divide 4 by -116. -1/29 54184 divided by 12 13546/3 Divide -69113 by -56. 69113/56 Calculate 34224 divided by 38. 17112/19 Calculate 184 divided by 267. 184/267 What is 1518 divided by 126? 253/21 What is -65768 divided by 6? -32884/3 Calculate -91364 divided by 2. -45682 What is -31088 divided by 16? -1943 Divide -120765 by 120765. -1 Calculate -413 divided by 78. -413/78 Divide -4241859 by -3. 1413953 Divide 2240076 by -13659. -164 What is 194340 divided by -9717? -20 15428 divided by -812 -19 Divide -312375 by 15. -20825 Calculate -5090100 divided by 1696700. -3 -50986 divided by 481 -106 Calculate 300822 divided by 6. 50137 5927192 divided by 2 2963596 20265 divided by 2895 7 Calculate 2149352 divided by 4. 537338 -362 divided by 2946 -181/1473 1 divided by -38920 -1/38920 What is 24869 divided by -7? -24869/7 Divide -25495 by -22. 25495/22 Divide 8618 by -42. -4309/21 What is 2775021 divided by 141? 19681 Divide -758 by 9. -758/9 What is 283959 divided by -7281? -39 What is 2 divided by -292298? -1/146149 -5187650 divided by -9022 575 370 divided by -417 -370/417 What is 63817 divided by -2? -63817/2 Calculate -58856 divided by -3. 58856/3 Calculate -33707 divided by -911. 37 Divide 143 by 227. 143/227 Divide 482 by 1939. 482/1939 -22913 divided by 3 -22913/3 Calculate -4 divided by 12798. -2/6399 Calculate -56028 divided by 69. -812 Calculate -969351 divided by 969351. -1 -374563 divided by 511 -733 Divide -83594 by 5. -83594/5 Calculate 257790 divided by -5. -51558 329525 divided by -245 -1345 What is 22 divided by -1380? -11/690 Calculate -16686876 divided by 4. -4171719 85197 divided by -28399 -3 Calculate 1000722 divided by 1. 1000722 -9479 divided by 20 -9479/20 Divide -19264 by 64. -301 2190195 divided by 119 18405 Calculate 63526 divided by 63526. 1 What is 24570 divided by 42? 585 Divide 93403 by 11. 93403/11 -7605 divided by 169 -45 -939708 divided by 3051 -308 86 divided by -1587 -86/1587 Divide -192 by -2. 96 What is -3524 divided by 610? -1762/305 What is 20376 divided by 6792? 3 What is -1 divided by -315844? 1/315844 What is -82215 divided by 609? -135 Divide 5 by 322268. 5/322268 Calculate -659 divided by -45. 659/45 Calculate -34 divided by 4688. -17/2344 Calculate 0 divided by 15516. 0 Calculate -21 divided by -1888. 21/1888 20277 divided by 74 20277/74 -28500 divided by -114 250 Calculate 61695 divided by -3. -20565 Calculate -76 divided by -449. 76/449 Calculate -2860 divided by 68. -715/17 Calculate 3 divided by 23238. 1/7746 What is 46830 divided by 70? 669 What is 97 divided by 3438? 97/3438 Divide -36 by -45. 4/5 What is -4101 divided by 31? -4101/31 Calculate 140 divided by -178. -70/89 Calculate 25 divided by 10. 5/2 36300 divided by 3 12100 Calculate 3051 divided by 1. 3051 What is 49600 divided by 12400? 4 1352404 divided by 3398 398 -35844 divided by -618 58 -935952 divided by 296 -3162 Calculate -484771 divided by -6. 484771/6 Divide -2 by 512. -1/256 -3279639 divided by 47531 -69 Divide -283160 by 5. -56632 Divide -5680266 by -5178. 1097 Calculate -311 divided by -82. 311/82 Calculate -1045 divided by 8. -1045/8 Calculate 200 divided by 1976. 25/247 2 divided by 77949 2/77949 Calculate 228633 divided by -4483. -51 -4 divided by -751358 2/375679 What is -144652 divided by -1682? 86 What is -741455 divided by 305? -2431 Divide -522 by 105. -174/35 What is -1783 divided by 114? -1783/114 Divide 55520 by -5. -11104 645225 divided by -3 -215075 What is 2 divided by -23955? -2/23955 Calculate -4 divided by -10987. 4/10987 -6674 divided by -2 3337 -11 divided by 824 -11/824 Calculate -21006 divided by -18. 1167 Calculate 161 divided by -513. -161/513 What is 15302 divided by 7? 2186 Calculate -83694 divided by 3. -27898 2451735 divided by 381 6435 What is -544 divided by 75? -544/75 Divide -40 by -53391. 40/53391 Divide 2941016 by 1. 2941016 Divide 114966 by 2. 57483 Calculate -128462 divided by 1. -128462 -1274 divided by -1 1274 What is 2478168 divided by -91784? -27 -2396872 divided by 4 -599218 50 divided by -11653 -50/11653 Calculate 196980 divided by -70. -2814 What is 3539 divided by 50? 3539/50 3 divided by -50034 -1/16678 What is -26 divided by 26664? -13/13332 What is -467514 divided by 3? -155838 Divide -2302005 by 460401. -5 Divide -1 by 309389. -1/309389 What is -1144174 divided by -4? 572087/2 Divide -439332 by 6. -73222 Calculate 277218 divided by -3. -92406 Calculate -1862294 divided by 4. -931147/2 -64 divided by 467 -64/467 -843 divided by 211 -843/211 What is -1 divided by 372133? -1/372133 What is -2742845 divided by 5? -548569 -2 divided by -538 1/269 What is -32516 divided by 11? -2956 Calculate 250340 divided by -10. -25034 Divide 56840 by -11368. -5 -19 divided by 45054 -19/45054 Calculate -355437 divided by 118479. -3 Calculate 62031 divided by -713. -87 2 divided by -165791 -2/165791 What is -420360 divided by 3390? -124 11046 divided by 3 3682 -178094 divided by -3 178094/3 What is -106678 divided by 373? -286 Divide 181920 by -7. -181920/7 Divide -1 by 768. -1/768 Calculate -1504776 divided by -3. 501592 Calculate 480730 divided by 5. 96146 Divide -31335 by 2089. -15 What is -196441 divided by 931? -211 78937 divided by 409 193 Calculate 69 divided by -96. -23/32 What is 36153 divided by -2? -36153/2 What is 1846 divided by 2297? 1846/2297 What is 1378 divided by 295? 1378/295 Divide 19998 by -33. -606 Divide -6 by -9180. 1/1530 6 divided by 14208 1/2368 285300 divided by 6 47550 Divide 9750 by 1950. 5 Divide -1402 by 55. -1402/55 749 divided by 77 107/11 What is 136887 divided by 443? 309 Divide 333 by -142. -333/142 Calculate -722254 divided by -5. 722254/5 Calculate 363923 divided by -343. -1061 -799240 divided by -3770 212 Divide -3709 by 17. -3709/17 201250 divided by 1150 175 Calculate 48924 divided by -9. -5436 Divide -2966 by -83. 2966/83 3 divided by 13369 3/13369 What is 335132 divided by -4? -83783 -118312 divided by 59156 -2 Divide 184 by -94. -92/47 What is 35768 divided by 8942? 4 Calculate 265506 divided by 2. 132753 Calculate 70555 divided by -14111. -5 Divide -2046 by 38. -1023/19 2964 divided by -26 -114 What is 691 divided by -16? -691/16 Calculate 1 divided by -25876. -1/25876 Calculate 128 divided by -1963. -128/1963 What is 13120 divided by 164? 80 Calculate 4552728 divided by -1138182. -4 Divide 163150 by 1. 163150 What is -2 divided by 744257? -2/744257 1101 divided by -1101 -1 Divide -4 by 216697. -4/216697 -823 divided by 918 -823/918 What is -4385272 divided by 4? -1096318 -7 divided by -99497 7/99497 What is 142063 divided by -1? -142063 Divide -58769 by -3457. 17 Calculate 2628 divided by 5. 2628/5 Divide -10 by -762. 5/381 What is -458 divided by -140? 229/70 Calculate 146979 divided by -7. -20997 What is 28254 divided by 831? 34 Calculate -4670 divided by -369. 4670/369 Divide 74060 by 2. 37030 1 divided by 175 1/175 86230 divided by 8623 10 22439554 divided by 2 11219777 1175 d
{ "pile_set_name": "DM Mathematics" }
l places? -0.00002 Let w(a) = -4175*a + 7. Let g be w(-4). Suppose 40907 = -13*q + 12*q. Let z = q + g. What is z rounded to the nearest 1000? -24000 Let y(t) = -3716701*t + 196. Let v be y(-4). What is v rounded to the nearest 1000000? 15000000 Let l = -0.046083354 - -0.04609. Round l to 7 dps. 0.0000066 Let i = -1.99771 - 2.502688. Let m = i - -4.5. What is m rounded to five dps? -0.0004 Let p = -109 + 123. Suppose 0 = 4*j - p + 2. Let s be (-4 + -916)/((-2)/15*j). What is s rounded to the nearest one thousand? 2000 Let y = -12 - 75. Let t = -86.9999804 - y. Round t to 6 dps. 0.00002 Let v = 0.337 + -0.4469. Round v to one dp. -0.1 Let p = 17983194 - 17983173.079099. Let o = 0.001499 + p. Let l = 0.0224 - o. Round l to 0 dps. -21 Let j = -0.4215227321 + 343.4215268321. Let v = j - 343. What is v rounded to six dps? 0.000004 Suppose 79 = 4*d + 71, -4*q - 1174 = d. Round q to the nearest ten. -290 Suppose 52*b + 21558471 - 1622079 = -1539608. Round b to the nearest one hundred thousand. -400000 Let n be (-2 - 4)/(-1 - 3 - -2). Let t be n/1*1 + 13710000. Let v be 1 - 4/(12/t). What is v rounded to the nearest 1000000? -5000000 Let k = 71.67 + -66.177. Let c = k - -0.147. Round c to one decimal place. 5.6 Let b = -10062.16 + 10282. What is b rounded to the nearest integer? 220 Let l = -31.98007195 + 31.98. What is l rounded to five dps? -0.00007 Let c = 20512.11937 + -20512. What is c rounded to 3 decimal places? 0.119 Let q = -6.9 + 6.46. Let u = 9.96 - q. Let s = -10.401 + u. What is s rounded to 3 decimal places? -0.001 Let m = -2963890597.961 - -2971116384. Let a = 7225821.13899859 - m. Let p = a - 35.1. What is p rounded to seven decimal places? -0.0000014 Let p(c) = 1782*c**2 + 63*c - 114. Let f be p(54). What is f rounded to the nearest 100000? 5200000 Let l = 848.61519368754 - -8.38480753846. Let f = -857 + l. Round f to 7 decimal places. 0.0000012 Let a(h) = 9098882*h - 18. Let b be a(-1). What is b rounded to the nearest one million? -9000000 Let g(n) = 5137*n**3 + 27*n**2 - 226*n - 8. Let t be g(6). What is t rounded to the nearest 100000? 1100000 Let x = -1583 - -860. Let v = -723.0000102 - x. Round v to six dps. -0.00001 Let a(u) = 947620*u**2 + 88*u + 240. Let n be a(20). What is n rounded to the nearest 1000000? 379000000 Let r = -272 - -395. Let a = 79 - r. Let i = a + 44.0000144. What is i rounded to 6 decimal places? 0.000014 Let a = 6076 + -6075.9978419. Round a to five dps. 0.00216 Let q(h) = 144937*h**2 - 206*h + 305. Let d be q(5). What is d rounded to the nearest 100000? 3600000 Let d = -5106 - 11644. What is d rounded to the nearest 1000? -17000 Let n = -4252 + 4251.999989319. What is n rounded to 6 dps? -0.000011 Let h = 0.037224 + -0.03742667. What is h rounded to four dps? -0.0002 Suppose 4*f - 15*l - 1079954 = -16*l, 3*f - 2*l - 809982 = 0. Round f to the nearest ten thousand. 270000 Let u(z) = 1039071*z - 6 + 648264*z + 59331*z. Let s be u(-9). What is s rounded to the nearest 1000000? -16000000 Suppose -3*v = 5*s + 84650, -13*v + 8*v = -2*s + 141011. What is v rounded to the nearest one thousand? -28000 Let f = 0.117 + -0.0917. Let i = f + -0.02530219. Round i to 6 dps. -0.000002 Let f = -6535362.79533 + 6535422. Let o = f - 59.2. Round o to four decimal places. 0.0047 Suppose -5*r = 2*t, t - 2*r + 3*r - 3 = 0. Suppose 3*s + 195 = t*y, -4*y + s + 117 = -y. Let z = y - 27. Round z to the nearest 10. 10 Let u = -1.21 + 51.21. Let r = 0 - u. Let l = r - -49.69. Round l to 2 decimal places. -0.31 Let q = 21027847.7700151 + -21027842. Let v = -5.77 + q. What is v rounded to 6 dps? 0.000015 Suppose 26450482 = 63*b - 83380547 - 334507971. What is b rounded to the nearest 1000000? 7000000 Let p = -0.02273 + -55.51727. What is p rounded to the nearest ten? -60 Let c(q) be the third derivative of 588095*q**4/4 + 5*q**3/3 + 2*q**2. Let o be ((-27)/12 + 2)*-28. Let s be c(o). Round s to the nearest 1000000. 25000000 Suppose 0 = -t + 2*t + 4*s + 28, 5*t + 3*s = -191. Let c = t - -45. Suppose 4*o + c*k - 535 = 0, 46 = -5*o - 2*k + 702. Round o to the nearest 10. 130 Let r = 28.927 - 28.92755817. What is r rounded to 4 decimal places? -0.0006 Let h = 721 + -556. Let t = -169883 - -169717.927. Let c = h + t. Round c to 1 dp. -0.1 Let m be (8/10)/((-6)/(-15)). Suppose -r - 9 = 4*q, m*q - 5 = 3*r + 3*q. Let g be r/((-5)/(-10)) - 185998. What is g rounded to the nearest 10000? -190000 Let b(p) = -7063*p + 1794. Let n be b(-12). What is n rounded to the nearest 10000? 90000 Let t = 5.97 - 398.97. Let v = 393.075 + t. What is v rounded to 3 dps? 0.075 Let m = 119.07 - 259.95. What is m rounded to 0 decimal places? -141 Suppose 2 = 3*c - 22. Let i(p) = 2*p - 16. Let z be i(c). Let u = z - 1. Round u to one dp. -1 Let w = -1164.048 - -1159. Let m = -0.342 + w. Round m to the nearest integer. -5 Let y be -1*(-1)/(-2)*2*-61. Suppose -4*d = -3*o + 4*o + 7, -4*d = -5*o + y. Let h be (-10800006)/18 + 3/o. Round h to the nearest 1000000. -1000000 Let c be (80/(-30) - -4)/(1/3). Suppose c*n - 30 = -1198. What is n rounded to the nearest 100? -300 Let f = 73.93 + -3991.93. Let h = 3935.07 + f. Round h to one decimal place. 17.1 Let p(j) = -4*j**3 - 4*j + 3. Let x be p(1). Let h be 3465 - (x - -7) - 3. What is h rounded to the nearest one thousand? 3000 Let m = 3668.79075 + 134.04695. Let o = 3803 - m. Round o to 2 dps. 0.16 Let x(j) = 144692*j**2 + 6*j + 2. Suppose 168 = -14*i + 42. Let r be x(i). What is r rounded to the nearest 100000? 11700000 Let m = -1265 - -1264.97419. Round m to 3 dps. -0.026 Let p = -0.2999 - 0.0691. Let m = 0.3529 + p. What is m rounded to two decimal places? -0.02 Let u = 139.3 - -6.7. Let b = -144.79 + u. What is b rounded to 1 dp? 1.2 Suppose 0 = 74*y - 14*y - 1539000. Round y to the nearest 1000. 26000 Let n = -47.089 + 4083.389. What is n rounded to the nearest 10? 4040 Suppose -11*p - 32*p + 3959164 = 691594. What is p rounded to the nearest ten thousand? 80000 Let b = 68 - 132. Let o = 374.46 - 309.7. Let w = o + b. Round w to one dp. 0.8 Let x = -3.646 + 3.6. Let n = 0.069 + x. Round n to two dps. 0.02 Let l = -18 - -20. Let m = -15 + 16.32. Let b = l - m. What is b rounded to 1 dp? 0.7 Let h(u) = 281*u**3 - 16*u**2 + 10*u + 33. Let i be h(-5). Let o be 8583*(0 - 44/(-6)). Let b = o + i. What is b rounded to the nearest 1000? 27000 Let v = 89.24 - -18.86. Let u = v - 1.1. Let y = -116.6 + u. Round y to 0 dps. -10 Let m = -43422.27851 + 43422. Round m to 3 dps. -0.279 Let t = 327 - 432.5. Let s = 0.21 + -11.11. Let q = t - s. What is q rounded to the nearest 10? -90 Let m = 464254 - 111829. Suppose -17575 = o + m. What is o rounded to the nearest one million? 0 Let a = 0.468 + -0.526. Let y = 0.0580203 + a. Round y to 6 decimal places. 0.00002 Let o = -0.193401837 + 0.1934. Round o to seven decimal places. -0.0000018 Suppose 16 = -0*m + 2*m - 2*j, -7 = -2*m - j. Suppose 11*w - 6*w = m. Let r be (w + -3 - 1210) + 2/1. What is r rounded to the nearest 100? -1200 Let j(x) = -30 + 26349*x**2 - 1182*x**2 + 16295*x**2 - 2*x - 3706*x**2. Let d be j(7). Round d to the nearest 1000000. 2000000 Let g = -3127.241 + 3133. Let c = g + -5.7. Let t = 0.0590003 - c. Round t to seven decimal places. 0.0000003 Let d = 0.0215 + 28.8785. Let w = -1873472098.10000139 + 1873472127. Let o = d - w. Round o to seven dps. 0.0000014 Let h = 20926 + -20926.000047752. Round h to six dps. -0.000048 Let d = 24298 - 24297.9618. Let s = -205.96 - -203.2518. Let h = s + d. Round h to the nearest integer. -3 Let d = -5899.0000008609 + 5899. What is d rounded to 7 dps? -0.0000009 Let w be 14/(-5) - 1*4/20. Let i(f) be the third derivative of -54583*f**4/3 + 4*f**3/3 - f**2. Let z be i(w). Round z to the nearest 100000. 1300000 Let f = -32232738.79 - -32232587.79000277. Let q = -151 - f. What is q rounded to seven dps? -0.0000028 Let m(a) = a**3 + 20*a**2 - 22*a - 17. Let f be m(-21). Suppose 0 = -3*s - f + 37. Suppose 0 = -9*p + s*p + 1560. Round p to the nearest one hundred. -800 Let o = -1771.45 + 1694.3916. Let p = o - -77. What is p rounded to 3 decimal places? -0.058 Suppose 3*r - k = 604206, 201388 = -6*r + 7*r + 2*k. Round r to the nearest ten thousand. 200000 Let a = -57110.08962 - -1.08962. Let z = a + 57105.99812. Let r = -3 - z. What
{ "pile_set_name": "DM Mathematics" }
-9) - 554/504? 252 Suppose -2*u + 2*w = -36, 4*u - 70 = 2*w + 3*w. Suppose -36 = b + 3*b. Let k = b + u. What is the lowest common multiple of k and 7? 77 Let w = 8 + -4. Let j = -19 + 28. Suppose 3*z = -j, 7 = -u - w*z - 4. What is the least common multiple of 6 and u? 6 Let d = 36 - 20. Let u(t) = t**3 - 19*t**2 + 21*t - 40. Calculate the lowest common multiple of d and u(18). 112 Let y = 163798/33 + -4963. Let a = -4807/6 - -791. Find the common denominator of a and y. 66 Suppose 6*w = 8*w - 16. Find the common denominator of -1 and w/28 - 351/28. 4 Suppose -2*l + 0*l - 10 = 2*s, -4*s + 3*l + 8 = 0. Let h be 1 + -1 + (-1)/s. Find the common denominator of 7/6 and 354/(-4)*h/3. 6 Let p(c) = c**3 - 5*c**2 - 3*c - 7. Let f be p(6). Suppose -f*s = -6*s + 90. What is the common denominator of 85/24 and (-47)/(-6) + 6/s? 24 Calculate the smallest common multiple of (-6)/(-21) + (-19)/(-7) and 26. 78 Let v(o) = o + 16. Suppose 2*a - 14 + 36 = 0. Calculate the lowest common multiple of v(a) and 10. 10 Let x = -4027983 - -48496601/12. Let j = x - 13410. What is the common denominator of 21/2 and j? 12 Let k(r) = -12*r**2 + 720*r + 6. Let c(s) = -s**3 - 5*s**2 - s + 7. What is the lowest common multiple of k(60) and c(-5)? 12 Let u = -57498711/8191612 - 2/157531. Let s = u - 185/13. Find the common denominator of s and 35/8. 8 What is the common denominator of (-2848)/(-72)*6/(-1560) and 77/6? 1170 Let a(n) = -n**2 + 8*n - 1. Let o be a(8). Suppose 0 = -25*d + 241 + 9. Calculate the lowest common multiple of d and 1 + -3 - 11*o. 90 Suppose 4*z = n - 2*n + 383, 0 = z + n - 98. Let y = -47 + z. Let o = -12219/8 - -3039/2. Find the common denominator of y and o. 8 Let b be 2/4 - 3/2. Let c be b + 0 - (7 + -10). What is the common denominator of -1/5 and (-1488)/(-128)*c/(-6)? 40 Let k be (-14)/35*-5 - (18 - 1). Calculate the least common multiple of 5 and ((-5)/k)/(1/3). 5 Let b = 9 - 5. Suppose 6 = 3*f - 3*h, 2*f + 2*f = -b*h + 16. Calculate the smallest common multiple of 26 and f. 78 Calculate the common denominator of ((-12)/(252/(-203)))/((-880)/(-36)) and -16/15. 660 Suppose 0*n + 300 = 4*s + 4*n, 5*s - 385 = 5*n. Suppose -4*r - 17 = x + 6, 0 = -x + 1. Calculate the common denominator of (s/r)/((-24)/9) and 43/10. 20 Let k = 3063 + -18511/6. Find the common denominator of 75/64 and k. 192 Let x(d) = -19*d - 4 - 4 + d**2 + 8. Let g be x(8). Calculate the common denominator of -2 + ((-84)/g)/1 and -13/6. 66 Let y = 148622016 - 101074022. Let n = -21967190717/462 + y. Let t = n - -689/21. What is the common denominator of t and 37/16? 176 Let r = -44 + 156. Suppose 2*j + r = 6*j. Suppose 2*q + j = 4*q. What is the smallest common multiple of 6 and q? 42 Calculate the common denominator of 83/15 and 4/(-4)*(-3)/(120/148). 30 Let s(r) = -90*r**2 - r**3 - 3*r - 93*r**2 - 37 + 164*r**2. Calculate the lowest common multiple of s(-19) and 12. 60 Let s(n) = 18*n - 216. What is the least common multiple of 30 and s(13)? 90 Suppose 3*d - 45 = 60. Let s = 2 - -1. Suppose 4*g - d = -s*u, u = 3*g + g + 1. Calculate the least common multiple of u and 9. 9 Let s(z) = 19*z**2 - 30*z + 6. Calculate the lowest common multiple of 2 and s(-4). 430 Let d = 565/161 + -38/23. What is the common denominator of d and 21/(-7) + 18/(-44)? 154 Let g = -98899/6 - -16423. Let h = -58 - g. Find the common denominator of h and -115/36. 36 Let v = 45 - 90. What is the smallest common multiple of (-18)/v + 66/10 and 6? 42 Find the common denominator of (-8811)/2970 - (1 - 2/(-6)) and -133/96. 480 Let w = -434 + 15156/35. What is the common denominator of 31/25 and w? 175 Suppose -31*y + 532 + 212 = 0. Calculate the smallest common multiple of y and 24. 24 Let k = 4 - 1. Let i(q) = q**2 - 8*q + 5. Let u be i(9). Let h = -6 + u. Calculate the lowest common multiple of h and k. 24 Let t be -1 + -2 - (-9 + 9). What is the common denominator of 9/2 + (t - -4) and 6/7? 14 Let u(b) be the third derivative of -b**6/120 - b**5/30 + 5*b**4/24 + 4*b**3/3 + 14*b**2. Calculate the smallest common multiple of u(-4) and 4. 20 Let d = -42 - -62. What is the least common multiple of (-2)/(3*2/(-12)) and d? 20 Let h(o) = 2*o**3 - 5*o**2 - 4*o + 3. Let c be h(3). Suppose -5*a - 1 + 16 = c. Calculate the smallest common multiple of a and 8. 24 Let b = -4 - -37. What is the common denominator of b and 2200/48 - -4 - 1/3? 2 Find the common denominator of 20/24*(-29)/(-2) - 3 and 103/6. 12 Suppose -2*t - 3*z = -311, 0*z + 2*z = -3*t + 474. What is the least common multiple of 180 and t? 1440 Let x = 435 - -139. What is the lowest common multiple of x and 2? 574 Let v = 57458 + -6492707/113. What is the common denominator of v and 8? 113 Suppose 2*c = 6*c + 120. Find the common denominator of (-6)/c + 526/220 and -103/18. 198 Let f = -2768963/3347630 + -4/30433. What is the common denominator of -169/30 and f? 330 Let m be -2 - -1*6/(-1). Let q(t) = 2*t**2 + 11*t + 6. Calculate the least common multiple of 8 and q(m). 184 Let m = 112733/25 - 4511. Find the common denominator of -47/15 and m. 75 Let n = -328 + 352. Suppose 3*u = -2 - 13, -3*b + 4*u = -74. Calculate the lowest common multiple of n and b. 72 Let o = 1/1353 + -16693/8118. Find the common denominator of -75/296 and o. 2664 Suppose 3*p - l = 67 + 8, 4*p - 5*l - 89 = 0. What is the lowest common multiple of 18 and p? 234 Suppose 1004 = 45*d - 346. Calculate the common denominator of 1/(-4) + 438/56 and d. 7 Let g = 21343647 + -383917451/18. Suppose -14896 = k - 0*k. Let m = k + g. What is the common denominator of 69/22 and m? 198 Calculate the common denominator of ((-248)/(-12))/(-2)*(-30)/(-110) and -145/108. 1188 Calculate the common denominator of -32/63 and -2*74/(-24)*107/(-2247). 126 Suppose 3*p - 96 = l, 0 = -7*p + 4*p - l + 90. Let n = p + -13. What is the lowest common multiple of 8 and n? 72 Let j = 13571/2235 - -29/149. Calculate the common denominator of 13/3 and j. 15 Let c(j) = j**3. Let g(u) = u**3 + 11*u**2 - u + 3. Let x(a) = 2*c(a) - g(a). What is the lowest common multiple of x(11) and 6? 24 Let n(s) = 4*s**2 + 10*s + 10. Let k(j) = -7*j**2 - 20*j - 20. Let p(y) = 3*k(y) + 5*n(y). Let o = 25 - 20. Calculate the least common multiple of o and p(-7). 55 Let n be (-1401)/(-4950) - (-2)/(-12). Let k = -633165252 - -2785927088137/4400. Let p = k - n. What is the common denominator of 37/16 and p? 16 Let n(o) = -25*o + 3. Let w be n(-4). Let t = 60 - w. What is the common denominator of 19/2 and t? 2 Suppose -4*k + 6*k = 216. Find the common denominator of -44 and (513/k)/((-2)/(-20)). 2 Let w = 580 + -572. Let u(b) = b**2 + 8*b - 5. Let c be u(-8). Let s(m) = -m**2 - 7*m. Calculate the smallest common multiple of w and s(c). 40 Suppose 0*p + 5*p - 3*s + 9 = 0, -p + 4*s = -5. Let h be (10/(-3))/(1/p). Calculate the common denominator of -1 + (-4)/44*h and 87/10. 110 Calculate the smallest common multiple of (7 - 8)/(4/(-76)) and 9. 171 Suppose 0 = 3*w + d - 27, 3*d + 28 + 1 = 2*w. Suppose w*x - 8*x = 12. Calculate the smallest common multiple of 16 and x. 48 Let v = -11 + 15. Let h be 24*1 - (-6)/8*-4. Suppose -3*f + 12 + h = 0. Calculate the least common multiple of v and f. 44 Let v(y) = y**3 + 20*y**2 - 44*y + 84. Calculate the least common multiple of v(-22) and 40. 840 Suppose -6720 + 621 = -57*d. Calculate the lowest common multiple of 5 and d. 535 Suppose -2*v = -4*b - 52, v = 3*b + 20 + 10. Let l(a) = 2*a**2 - 7*a + 5. Let z be l(4). Let w = z + -7. What is the lowest common multiple of v and w? 18 Let f = -12195754927/3442260 + -7/172113. Let d = 3542 + f. What is the common denominator of -101/20 and d? 20 Suppose 5*m = -15, -5*j = -3*m - m - 2252. Find the common denominator of j/240 - (-3)/5 and 53/40. 120 Let j(c) = -176*c + 305. Calculate the common denominator of j(2) and -87/34. 34 Let n = -23087/1126 - -2/563. What is the common denominator of n and 81/2? 2 Let q = -9323/774 - -850/43. Let p = 0 + -7. What is the common denominator of ((-2)/p)/(24/763) and q? 36 Let y(j) = 2*j**3 - 5*j**2 + j - 1. Let g be y(4). Let t = 63 - g. What is the smallest common multiple of t and 9? 36 Suppose 0 = 4*r - b - 2*b - 3, 5 = -5*b. Suppose r = -5*z + 68 + 42. What is the smallest common multiple of 36 and z? 396 Let o = -1
{ "pile_set_name": "DM Mathematics" }
ether -3008.3 and -0.0124749. -3008.3124749 What is the distance between 65969 and -41720? 107689 What is -12305943 minus -3? -12305940 What is -5 take away -2694944? 2694939 What is the difference between -1.93809282 and 0.2? 2.13809282 What is -269.633 less than 469? 738.633 What is -0.4619 less than -467? -466.5381 What is -0.21086412522 plus 0.4? 0.18913587478 What is 324 + 1.1821215? 325.1821215 -455 - -0.442722 -454.557278 What is 0.5 - -17884.019? 17884.519 What is the difference between -59080060 and 0.4? 59080060.4 Sum 0.167415 and -2.168. -2.000585 What is 346047 plus 1415? 347462 Calculate -0.24 + -0.1106452. -0.3506452 Add together 0.1 and 11.123709. 11.223709 What is -0.2 minus -2945487215? 2945487214.8 Total of -487 and 1774825. 1774338 Sum 17 and -67.267. -50.267 Subtract 166988788 from 0.015. -166988787.985 Work out 0.049 + 3002. 3002.049 What is the distance between 396 and 17536191? 17535795 -14704.8 - -0.2 -14704.6 Add together 758.765 and -18.4. 740.365 Subtract 2.8 from -0.769235. -3.569235 What is -11260.57572 less than -3? 11257.57572 Put together -1 and -171.567159. -172.567159 What is -1905380 plus 0.3? -1905379.7 Sum 1.242 and -13039.01. -13037.768 What is -71626464 less than 1? 71626465 What is -9 take away -2364871? 2364862 Total of -1.0659 and 1068. 1066.9341 Subtract 6423333 from -11. -6423344 What is the distance between -104.8 and 9678396? 9678500.8 Put together 3 and -728611540. -728611537 Calculate -780.376 + 20. -760.376 Calculate -32583631 + -16. -32583647 2112.5+-3458 -1345.5 What is the difference between -3547.5 and -2957396? 2953848.5 0 + -0.59334828 -0.59334828 What is 2.44978 less than -642946? -642948.44978 Add 0.0217 and 24166. 24166.0217 Add 1 and 10443909. 10443910 Total of 339 and -1425151. -1424812 What is the difference between -54.266 and 4379? 4433.266 Subtract -4.3 from -75.6132. -71.3132 What is the difference between 12951 and -4603? 17554 Calculate -3226 + -4386.5. -7612.5 What is 0.11 take away 206375309? -206375308.89 What is -0.8 - 4.1674057? -4.9674057 What is -1997793603 minus -5? -1997793598 Add -2094 and 0.31728. -2093.68272 What is 339388 plus -180? 339208 What is -0.01 take away -38519697? 38519696.99 Work out 1.326 - 8.2. -6.874 5.868 - 25.5 -19.632 What is 55 minus -33719823? 33719878 Total of -0.75741 and -4. -4.75741 0.1+-0.246944 -0.146944 Put together 7539844 and 4. 7539848 What is the difference between -5581132185 and 3? 5581132188 Put together -122957406 and 15. -122957391 Work out 163.236 + -28.25. 134.986 Work out -12 - 715573. -715585 -0.2+170.76708954 170.56708954 What is 4166099 less than 6.186? -4166092.814 What is -0.194 plus -293.732? -293.926 What is -1413.995188 minus -9? -1404.995188 Calculate -0.0594996 - -0.04. -0.0194996 -931605+3.08 -931601.92 810.26+-695 115.26 What is -2909984 + 12815? -2897169 -86 + 6.9705 -79.0295 What is 2 minus 1724306628? -1724306626 What is -80227629 take away -6? -80227623 Calculate -4433565 - 2.278. -4433567.278 Total of 1235984 and 62. 1236046 Calculate -1323398171 + 0.1. -1323398170.9 What is -258651.2 plus -1291? -259942.2 What is the difference between 2 and -1880976550? 1880976552 -2.3+-29907508 -29907510.3 Total of -99.7889 and -1281. -1380.7889 What is -57 take away 9735906? -9735963 Calculate 5 - 1.918022. 3.081978 Put together -1.19010425 and -0.1. -1.29010425 Subtract 2250703 from -22. -2250725 Work out -512.0206 - -0.08. -511.9406 Subtract 77 from -31826498. -31826575 What is the difference between 28513 and 13.2? 28499.8 Work out 2 + -53760694. -53760692 What is -0.2 minus -2464.32147? 2464.12147 Add 0.58 and -949.76123. -949.18123 Add -384861.69 and -0.2. -384861.89 Work out -8.3 + -524.316. -532.616 What is -933 take away -2.9059968? -930.0940032 Calculate 0.61832 + 23001. 23001.61832 Calculate -0.12 - 1178810. -1178810.12 -56.01 + 1798286 1798229.99 Calculate 0.3 - -1696348061. 1696348061.3 What is -10 - -73162.6599? 73152.6599 -4303 + 72057 67754 What is -186 less than -266843.31? -266657.31 Work out -8665.867 + 93. -8572.867 Work out 7.171 + 33.4196. 40.5906 What is -6 minus 878618977? -878618983 Put together 8574312 and 0.1362. 8574312.1362 What is 2.4 minus 79893878? -79893875.6 Add -1.35 and 1173208. 1173206.65 Work out -4 - 700073827. -700073831 6 - -175717001 175717007 Add 0.1491 and 17089655. 17089655.1491 Put together -3168 and -14.885. -3182.885 What is 1773 minus 488250? -486477 Add 219388 and 0.1. 219388.1 -0.482463595 + 0.05 -0.432463595 What is 8 + -1997451162? -1997451154 Work out -510710 - 16565. -527275 Put together -165.6 and 12579. 12413.4 What is -72 plus 51588? 51516 What is -271 - 10922740? -10923011 Calculate -1191.131 + 0.4. -1190.731 Add together 6202 and 6842.2. 13044.2 Sum 0.1163830432 and 0.11. 0.2263830432 What is the difference between -9193432 and 0.3? 9193432.3 Work out -4.56 - 24456. -24460.56 What is -0.073266 - 1.071? -1.144266 What is -1555464 - 5923? -1561387 What is -1.3 less than -915.5287? -914.2287 -659.0667 - 15.3 -674.3667 Total of -159 and -0.179151. -159.179151 What is -1.6 minus 1939891? -1939892.6 What is the distance between -1 and 0.609996513? 1.609996513 Work out -55 + 309.78. 254.78 What is 53850987.5 less than 4? -53850983.5 What is 314 less than -0.3319? -314.3319 Calculate -5.46 + 82726. 82720.54 What is the difference between 56 and 64752810? 64752754 Add together 5 and 847083159. 847083164 Calculate -153973858 + 0.1. -153973857.9 What is 649 less than -1883690? -1884339 Add together -2914.51469 and -2. -2916.51469 What is 233.3 - 321083.56? -320850.26 What is 25586 less than -1659? -27245 Add together 28374541 and -4. 28374537 Subtract 2482174 from 6. -2482168 What is -12 + 618228033? 618228021 What is the distance between 212336.1024 and -12? 212348.1024 What is -456.78149 + -0.3? -457.08149 What is -0.559 - 2864256? -2864256.559 Put together -87.62 and -6.592426. -94.212426 What is the difference between -3893741 and 5? 3893746 Sum 82 and 248195. 248277 What is 0.06 + 0.3224775? 0.3824775 What is 0.2876 minus 3.288? -3.0004 What is -250.13 - -11.4648? -238.6652 Add together -432 and 7239376. 7238944 -5.5466 + -0.146 -5.6926 Calculate -34.18 + 27931.2. 27897.02 Sum 1.48 and 9562804. 9562805.48 -120.689+-0.02885 -120.71785 243 + -10400979 -10400736 Work out -0.0382654393 - -0.4. 0.3617345607 -84+-0.06259702 -84.06259702 Total of 0.0064564 and -1.71218. -1.7057236 5 + 2.05385881 7.05385881 6 - -88.34976229 94.34976229 What is the distance between -0.11 and -22.0211782? 21.9111782 Calculate -8.3 - -1467794. 1467785.7 What is -46397.509 take away 4? -46401.509 What is 1948 less than -6009? -7957 Work out -88035 + 52854. -35181 What is 407428 take away -9? 407437 Total of -9 and 27.90914899. 18.90914899 Work out 0.2 + 1836339710. 1836339710.2 Calculate 162441992 - 0.2. 162441991.8 What is -5.9 - -6139155? 6139149.1 What is -839891 + 72? -839819 -17294 - 1580290 -1597584 Add together -139110 and -0.37398. -139110.37398 -18604.64 + -2365 -20969.64 -2494894+-2798 -2497692 Put together -81 and 101534. 101453 What is -2705541 minus 0.22? -2705541.22 What is 7.4802214 minus -1.8? 9.2802214 Total of -15014.473 and -115. -15129.473 329.927 + -3.1 326.827 Sum -197 and 3542715. 3542518 Put together -356787858 and -0.2. -356787858.2 Put together 2063214 and -1. 2063213 Subtract -6030.8 from -2929. 3101.8 -32.006352 + 246 213.993648 What is -236716 + 92? -236624 Put together 41 and -1056.42962. -1015.42962 Total of -0.5 and -53789114. -53789114.5 Add -332460181 and 5. -332460176 Calculate -1633292351 - 3. -1633292354 Work out 19.23 - -1106. 1125.23 Subtract -0.85295 from -21.6. -20.74705 Work out -3354.11 + 32.96. -3321.15 Work out -10.4455 + -332038. -332048.4455 Work out 0.23 + 96380715. 96380715.23 Calculate -1003913 - -38. -1003875 What is 1104.86 minus 11862? -10757.14 -4059.669+-0.044 -4059.713 What is 567 - 431.3642? 135.6358 -2601 - -2412.8 -188.2 Calculate -3912 - -32012. 28100 Add together 208446 and -204895. 3551 Subtract 15550 from 1458.1. -14091.9 Add -0.4 and 1487468. 1487467.6 Total of 2.54676148 and 19. 21.54676148 What is 0 - 4018.292207? -4018.292207 Work out 0.2 - 312.5791693. -312.3791693 What is 89840.744 - -2.88? 89843.624 Total of -7.8 and -91.97144
{ "pile_set_name": "DM Mathematics" }
z be u(42). Suppose w - 3*j - 25 = 2*j, -5*w + z*j = -103. Solve w = -5*h - 4*k, 2*h + 1 = -4*k - 19 for h. 0 Let d(i) = -7*i - 162. Let v be d(-24). Solve 11*f + 3*k = 7*f + 5, 0 = f - 4*k - v for f. 2 Suppose 21 = 7*f + 7. Suppose -z - 12 = -2*m - 3, f*z + 20 = 5*m. Solve -m*x = 4*n - 2, -n + 1 = x - 0*x for n. 0 Let a(f) = -f**2 + 9. Let j be a(3). Suppose j = -2*n + n + 5. Solve -n*w = -y + 2*y + 15, -3*y + 3*w + 27 = 0 for y. 5 Suppose -775 = -8*f - 87. Let t = f + -86. Let r(z) = z**2 + 9*z - 8. Let s be r(-10). Solve 5*q + 3*a = 2*q, t = -2*q + s*a for q. 0 Suppose 0 = -3*w - 445*o + 447*o + 11, w + 8 = 3*o. Solve 2*k = -3*y - 17 + w, 0 = -4*y - k - 5 for y. 0 Suppose 8*o = o + 28. Suppose i + i + 4*x - 28 = 0, 0 = 2*i - 3*x + 7. Let v = 1 - -1. Solve -o*d = v*b - 10, -12 = -4*d + i*b - 32 for d. 0 Let n = -192 + 197. Let z be 3/n + (4 - 335/(-25)). Solve 0 = 4*r - 5*f - 2, -4*r - 3*f = -4 + z for r. -2 Let g be 0*((-15)/(-12) + -1) - -2. Suppose 6*p - 5 = g*p - x, 0 = p + 5*x + 13. Solve -3*y = -0*y + 3, d + p*y = 0 for d. 2 Let l be (-98)/(-6) + (-158)/474. Solve 4*r - l = 3*z, -4*r + 0*z = -z - 8 for r. 1 Let q be (4/10)/(658/6580). Solve -x = 0, 2*v - 6 = -v - q*x for v. 2 Let p(s) = 4*s**2 + 15*s - 171. Let v be p(5). Solve y + 4*y + 10 = 0, -v*w = -y - 18 for w. 4 Let b(f) = -2*f - 52. Let k be b(-27). Suppose -4*g - 1 - 3 = 2*m, k = -3*g - m. Solve -4*s - 3*w + 2*w = -9, -5*s + 3*w + 24 = g for s. 3 Let w be 11 + (6 - 4)*-1. Suppose -9 = -w*g + 27. Solve -2*h + 21 = g*y - 3*h, 0 = -2*y - 4*h - 12 for y. 4 Suppose -308*x + 285*x = 0. Solve 2*l = -x*w - w + 10, -5*l = -5*w + 5 for w. 4 Suppose -5*m - 44 = -3*y, 14 = 601*m - 603*m. Solve -33*g + 30*g - 6 = -y*j, -4*j + 26 = 5*g for j. 4 Suppose -d + 2159 = 3*d + 3*j, 5*d = -5*j + 2705. Let n = -507 + d. Solve 5*t + 10 = 3*f + 2*f, 3*f + 4*t = -n for f. -3 Let l = 251 + -249. Suppose t - l*p - 14 = 0, 2*t + 2*p = t - 6. Solve 6 = -t*z + 2*u, -4*z - z - 10 = -5*u for z. -1 Suppose -60 + 16 = -6*o + 40. Solve -2*p - o = -5*d, d - 2*p - 2 = 4 for d. 2 Let i(a) = -2*a + 27. Let t be i(12). Suppose -x - t = 0, -2*x + x = 4*c + 171. Let y = -34 - c. Solve 4*p = 5*g - y - 2, 5*g - 10 = -5*p for g. 2 Let k be (-3090)/(-2472) + (-2)/(-16)*-2. Solve -2*i = -46*n + 45*n + 11, -2*i - k = n for n. 5 Suppose -o + 0 + 17 = 5*m, 0 = 3*m - 3*o - 21. Suppose -l + 31 = 5*a, 0 = 5*a + 2*l - 0*l - 37. Solve -4*g + 30 = 2*c, -m*g = -4*c - c + a for g. 5 Let f be ((-81)/(-4) - (1 - 1)) + (-703)/2812. Solve 9*l - 25 = 4*l + 2*t, -4*l - 4*t = -f for l. 5 Let g = -1449 - -1457. Solve -3*c - 5*h = -g*h - 9, 0 = -3*h - 12 for c. -1 Let t(b) = 18*b + 10. Let n be t(-5). Let l = 87 + n. Let k be 3 - (3 - 6)/(3/15). Solve 5*g = p + k, 3*p + 7 = 5*g - l for g. 4 Let v be 17 + (-4 - -2) + 3. Let d(c) = -41 + c**3 + 64 + 0*c**3 + v*c**2 - 18*c. Let w be d(-19). Solve -5*z + j + 10 = 0, z - 5*j + 2 = -w*j for z. 3 Let b = 27 + -24. Let d be (1/((-4)/b))/(5/(-480)). Suppose 0 = 6*a - 10*a + d. Solve j - 4*h = a, 10 = j - 5*h - 12 for j. 2 Suppose 7*u + 5*x = 5*u + 19, 31 = 5*u - 4*x. Solve -4*s - 3 + u = 4*m, -3*s = 5*m - 5 for m. 1 Let u = 9 + -7. Suppose 1213*w - 1219*w + 36 = 0. Solve -12 + 0 = -2*n - 5*j, -u*n = -4*j + w for n. 1 Suppose 0 = x + q - 30, -x = x - 2*q - 40. Let a be (-1)/(((-2)/5)/2) + 0. Suppose -a*f - 2*f = -0*f. Solve 0 = -n - 5*w + x, n + 0*w + w - 9 = f for n. 5 Let o(n) = 3 - n**3 - 13 - 8*n**2 - 13*n - 5*n**2. Let j(g) = -13*g**2 - 9*g + 10. Let t be j(1). Let p be o(t). Solve u - d + p = -2*d, 12 = -2*u + 2*d for u. -4 Suppose -70*f - 59*f = -1548. Solve -f*d + 9*d + 24 = -5*a, -4*d = -a - 15 for d. 3 Suppose a = -4*o + 33, -5*o - 151 = -4*a - 2*o. Suppose -a*x - 27 = -46*x. Solve -x*g - 12 - 9 = 3*z, 5*g = -3*z - 29 for z. -3 Let j = 5664 - 5645. Solve 0 = -3*b + 4*f + 17, -2 = -4*b + 5*f + j for b. -1 Let s be 2/(-1 - -5)*2. Let m be 1 - (54/(-36) + 2/(-4)). Suppose 13 = 2*v + c + 9, -3*c - 15 = -m*v. Solve 2*x - s = -3*d, 4*x - v*d + 2 = 5*x for x. -1 Let v = 804 - 782. Solve -8 - 2 = 5*p - 3*i, -3*p + 5*i - v = 0 for p. 1 Suppose -4*i - 2*q = 11 - 3, 4*i - 2*q = 8. Solve i = -d - 3*s - 13, -17*d + 20*d = 3*s + 9 for d. -1 Let h = 12947 + -12945. Solve -2 = -5*z - 3*j - 21, 0 = h*z - 3*j + 16 for z. -5 Suppose 2556 = 222*f - 42*f - 5364. Solve -10 = -2*c + 2*x, 3*x - f = -2*c - 34 for c. 5 Let s = -129 + 138. Suppose 0 = -6*d + s + 9. Solve p = -4*i + 13, -d*p + 0*p = 2*i - 19 for i. 2 Let w(l) = l**2 + 4*l + 13. Let g be w(-6). Suppose -19*c + g = -51. Solve 4*n = c*q - 20, -5*n + 2*q - 15 = 1 for n. -2 Suppose 2*a + 13*a - 81 + 36 = 0. Solve 2*g = -2*d - 6, 5*g = 5*d - a - 12 for g. -3 Let z(o) = -14*o**3 - 278*o**2 + 38*o - 33. Let v be z(-20). Solve 2*l - 6 = b, -v*b + l = -12*b + 3 for b. 0 Suppose -66*i = -360 + 96. Solve -4*h + 3 = -j, -i = 4*h - 5*h - 3*j for h. 1 Let a be 10/(-6)*54/(-45). Let j be -1 - (-6)/(-4)*(-20)/10. Suppose -1 = -j*q - p + 2, q + 3*p + 11 = 0. Solve -q*l + 12 = -a*n, -2*l + 0 + 14 = -5*n for n. -2 Let f(l) = -l**2 + 143*l + 916. Let k be f(-6). Solve 22*c + z + k = 18*c, -5*z = c + 15 for c. -5 Suppose -35*r - 72 = -44*r. Suppose 0 = t + 2*y - 6, 4*y - r = -t - 0*t. Solve -p + 6 = -2*x, -4*p - t*x - 32 = -p for p. -4 Let i be -10*((-7)/(-5)*-2 - 0). Suppose 8*z - 7*z = 3*a - i, z = -4. Solve 3*f + 24 = -f + 4*w, 4*w - a = 0 for f. -4 Let t be (32/24)/((-20)/(-75)). Solve -28*h + 32*h = b + 6, -3*h - 7 = t*b for h. 1 Let v be (1/6)/((-14)/11088*-12). Suppose -2*d = p - v, -9 = -4*d - 4*p + 7. Solve -b - d = -4*a + 4*b, a = -b + 4 for a. 3 Suppose 15*p - 39*p - 292 = -1468. Solve 4*q = 4*k + 13 - p, -k - 3*q = 11 for k. 4 Let o be -32*(26/4)/(-13). Solve -5*a + 11 = -3*y, o = 4*y - 3*a + 4*a for y. 3 Let o = -1128 + 1141. Let h = 8 - 5. Suppose m - 1 = -2*a + 1, -5*m + 10 = 5*a. Solve 17 = -5*q - m*d, -4*q = -9*q - h*d - o for q. -5 Let j(p) = p**2 - 37*p + 39. Let z be j(36). Suppose -4*s - z*s = -s. Solve 3*a - 5*h + 1 = -1, -2*a + 3*h - 2 = s for a. -4 Let o = 42729 - 42726. Solve -7*m + 10*m = -4*u + 11, -4*u = -o*m - 29 for m. -3 Let o(j) = -2*j**2 + 116*j + 366. Let n be o(-3). Solve n*c = 5*c + 30, -6 = -4*b + 3*c for b. -3 Let n be (9/(-15))/(4/60*-1). Solve 3*o - n = m, 3*m = -o - o + 17 for m. 3 Let j = -51 - -51. Suppose 3*x - 2*o + 5 = -0*o, j = -3*x + 4*o - 13. Let g be 9*(x - -3)/4. Solve k = 2*k - 2*r + 11, -3*r = -g for k. -5 Let v(n) = -n**3 + 50*n - 1. Let i be v(7). Let g be (i/16)/(2/16). Solve 4*l - 2*h - 17 = -3, 0 = -g*l + 5*h + 28 for l. 1 Suppose -167*r + 172 = -162. Let x(f) = f + 4. Let g be x(8). Solve -4*i = -8, -4*c - 3*i - g = r for c. -5 Let t = -418 - -421. Solve -2*g + 5 = -4*d + 9, -t*g + 5*d = 7 for g. -4 Let a = -3103 - -3150. Solve -46*c + 11 = -a*c + 5*q, 25 = 4*c + 3*q for c. 4 Let h(o) = -34*o + 989. Let d be h(29). Solve -3*x = 2*x + 3*c - 4, -3*c = d*x - 6 for x. -1 Suppose 12 = -2*p - 245*a + 247*a, 0 = 2*p + a - 12. Solve -3*n + 2*d - 2 = 0, 5 + 1 = n - p*d for n. -4 Suppose -2049 + 285 = -36*t. Solve 4*v - 2*p = 18, -5*v + 5*p = -t + 14 for v. 2 Suppose -1755 = 10*l + 1465. Let z = l + 325. Solve p = 3*x - 8, 2*p - 13 - z = -2*x for x. 4 Let b(o) = o**2 + 13*o + 54. Let a be b(-10). Suppose -a = 361*w - 367*w. Solve -3*z - 2*c + c - 13 = 0, -12 = 2*z + w*c for z. -4 Let a(y) = y**3 - 6*y**2 + 15*y - 24. Let m be a(4). Solve 5*h + m = 4*k - 19, 3*h = 3*k - 15 for h. -3 Suppose -11 - 12 = -3*y - 4*c, 0 = -5*y - 5*c + 35. Solve -6 = -3*q + 3*a, -y*q + 4*a = -0*a - 12 for q. 4 Suppose -a = -3*a + 5*u - 15, -2*a = -2*u. Suppose 9*o + 3*y = 3, 12*y - 15*y - 19 = -2*o. Solve a*g - 30 = -o*b, 28 = 2*g + b + 3*b for g. 4 Suppose 4*b - 2*a - 8 = 0, 7*a - 4*a = 5*b - 10. Suppose -b*v + 6*v - 5*x = 19, 4*x + 8 = -4*v. Solve 4*l - 5 = -s, l + 2 = 2*s + v for l. 1 Suppose 9*a = -2*a + 55. Let c(t) = -t**2 + 9*t - 14. Let d be c(a). Let s be 40/d + ((-95)/(-15) - 5). Solve -6*i + i + 2*m - 11 = 0, -3*m + s = i for i. -1 Suppose 3*u + 21 = -1197. Let o = 290 + u. Let j = -101 - o. Solve -5*m - j = -5*g, m = -g + 4*g - 1 for g. -1 Let d = 36388 + -36383. Solve -5*b = 0, -d*o - 2*b - 60 = -95 for o. 7 Let n = 7147 + -7123. Solve 9*s - 4*s = 2*l + 13, n = 4*s - 5*l for s. 1 Let p(q) = 2*q - 18. Let t be p(10). Suppose 9*v = 122
{ "pile_set_name": "DM Mathematics" }
in descending order. 1/3, -3, -20.415077 Sort -5, 52, 5, 13, -13, 3 in descending order. 52, 13, 5, 3, -5, -13 Put -3, 67, 1, 3, -1, 115, 8 in decreasing order. 115, 67, 8, 3, 1, -1, -3 Put 1, 21, 5, -1, 33, 11 in ascending order. -1, 1, 5, 11, 21, 33 Sort -18, -20, 4, -4, -8, 1 in increasing order. -20, -18, -8, -4, 1, 4 Sort 93, -982, 112 in decreasing order. 112, 93, -982 Put 54, -0.1287685, -4 in ascending order. -4, -0.1287685, 54 Sort -1794, 5, 25 in increasing order. -1794, 5, 25 Sort 3, 1.54, -384/19 in increasing order. -384/19, 1.54, 3 Sort -75, -3, -820, -1, 0, -5 in increasing order. -820, -75, -5, -3, -1, 0 Sort -1/8, 0.53, 1334.85, 0.3, -5 in descending order. 1334.85, 0.53, 0.3, -1/8, -5 Sort 314, -6, -5, -4, -2300 in descending order. 314, -4, -5, -6, -2300 Put -46250, -4, 41 in increasing order. -46250, -4, 41 Put -2, -4, 3, 30.566 in descending order. 30.566, 3, -2, -4 Put -12/61, -1/14, -2, 55 in decreasing order. 55, -1/14, -12/61, -2 Sort 1397.2, -0.2, -2/3, 1/5 in increasing order. -2/3, -0.2, 1/5, 1397.2 Put -774, -1, 54, -3, 3, -1083 in ascending order. -1083, -774, -3, -1, 3, 54 Sort 2/3, 1352.69, 0.1, -0.1, 2/21 in ascending order. -0.1, 2/21, 0.1, 2/3, 1352.69 Put 0.2, -21/641, 0.0177 in decreasing order. 0.2, 0.0177, -21/641 Sort -1, -3, -8, -4, -5, 24, 3. -8, -5, -4, -3, -1, 3, 24 Put -3, 5, 19, 22, 1, -268 in descending order. 22, 19, 5, 1, -3, -268 Put -1353, 4, -20, 84 in descending order. 84, 4, -20, -1353 Sort -0.3, 1/4, -36263737 in increasing order. -36263737, -0.3, 1/4 Sort -21, 810, 3, 2, -145, -4, -6 in descending order. 810, 3, 2, -4, -6, -21, -145 Sort -83, 1.77, -0.5, 0.1, 4 in decreasing order. 4, 1.77, 0.1, -0.5, -83 Sort 2, 2/239, 4, -4 in increasing order. -4, 2/239, 2, 4 Put 0, -1380907, 7 in increasing order. -1380907, 0, 7 Sort -69, 16, 120, -3, 9 in descending order. 120, 16, 9, -3, -69 Sort -1, 0.02, 2, -1116, -0.5, 0.9 in decreasing order. 2, 0.9, 0.02, -0.5, -1, -1116 Put 1/28, 1.66, -2, 0.2, -1/7 in descending order. 1.66, 0.2, 1/28, -1/7, -2 Put -4, -5, 96588 in descending order. 96588, -4, -5 Put -3, -716, 59, 2, 46 in increasing order. -716, -3, 2, 46, 59 Sort -3, 2789, -58, 1 in ascending order. -58, -3, 1, 2789 Sort 43, -2076, 3, 0, -4, 1, 2 in decreasing order. 43, 3, 2, 1, 0, -4, -2076 Put 23, -4, -150, 1, 2, -3 in increasing order. -150, -4, -3, 1, 2, 23 Sort -0.65, -14893, -3/4 in increasing order. -14893, -3/4, -0.65 Sort 13, -12177, 5, -10 in decreasing order. 13, 5, -10, -12177 Sort -2, 30/61, 1/3, 6/11, 0.19 in ascending order. -2, 0.19, 1/3, 30/61, 6/11 Put 0.0418, -3, -0.12, -33, 21 in decreasing order. 21, 0.0418, -0.12, -3, -33 Put 5623718, 0, -4 in descending order. 5623718, 0, -4 Put 0.0636, -744, 0 in descending order. 0.0636, 0, -744 Sort -33, -5, 18, 4, -1, 8, -3 in decreasing order. 18, 8, 4, -1, -3, -5, -33 Sort 4, 193563, 496 in ascending order. 4, 496, 193563 Put -10, 1142, -1, 0 in ascending order. -10, -1, 0, 1142 Put 0.06, 4, 46, 1, 2, 111, 3 in decreasing order. 111, 46, 4, 3, 2, 1, 0.06 Put 15, -152, -249, 2, -1 in descending order. 15, 2, -1, -152, -249 Sort -7/4163, 4/7, 0.01, -51 in descending order. 4/7, 0.01, -7/4163, -51 Sort 8, 100, 123, -2, -52, -3, -5 in ascending order. -52, -5, -3, -2, 8, 100, 123 Put 2/7, -1.42, 4, -0.4, -1/6, 202 in descending order. 202, 4, 2/7, -1/6, -0.4, -1.42 Put -21/10, 3, 2, -1/3194 in increasing order. -21/10, -1/3194, 2, 3 Sort -7, 302, 2, -909, 3. -909, -7, 2, 3, 302 Put 3, -487, 7, -2, -4 in descending order. 7, 3, -2, -4, -487 Put 46, -6, 3, 86, -3, -4 in ascending order. -6, -4, -3, 3, 46, 86 Sort 857, 57.13, 3, 2, -0.3. -0.3, 2, 3, 57.13, 857 Sort 2, -7/10, 26495, -2/9 in decreasing order. 26495, 2, -2/9, -7/10 Put 0, 15/17, 1944/11, 3 in descending order. 1944/11, 3, 15/17, 0 Sort -2/15, -5, -17, 30, 0.2, 12, 4 in descending order. 30, 12, 4, 0.2, -2/15, -5, -17 Put 0, 5, -3, -1, -1172, -12, -5 in decreasing order. 5, 0, -1, -3, -5, -12, -1172 Put -4, 4, -4966, 1 in decreasing order. 4, 1, -4, -4966 Sort 5, -22, 7, -3, 4 in descending order. 7, 5, 4, -3, -22 Sort 9871, -3, -5, 14, -4 in descending order. 9871, 14, -3, -4, -5 Put 1147, -1/3, -848 in ascending order. -848, -1/3, 1147 Sort -88/23, -2, 0.4, -0.13, 1.09 in descending order. 1.09, 0.4, -0.13, -2, -88/23 Sort -7, -2, -4582, -66 in increasing order. -4582, -66, -7, -2 Put -2, 54, -15, 14, -47, -8 in descending order. 54, 14, -2, -8, -15, -47 Put 3, 1, -828, 33463 in decreasing order. 33463, 3, 1, -828 Put 458, -8, 0, 14, -7 in increasing order. -8, -7, 0, 14, 458 Sort -2, 4, 161601, 2 in decreasing order. 161601, 4, 2, -2 Sort 7.8, 2/3, -1729453 in increasing order. -1729453, 2/3, 7.8 Sort 1904, -6, 260, -4, 8, 0 in decreasing order. 1904, 260, 8, 0, -4, -6 Put 2, -0.039, 5/22278, 2/5 in descending order. 2, 2/5, 5/22278, -0.039 Sort 280, -17, -680 in decreasing order. 280, -17, -680 Sort 0.4, 0.2, 3276, 882 in increasing order. 0.2, 0.4, 882, 3276 Sort 809, 316, 13 in increasing order. 13, 316, 809 Sort 7, -1/1230828, 2/11. -1/1230828, 2/11, 7 Sort -4, 0.263, 120, -5, 15. -5, -4, 0.263, 15, 120 Sort -78, 30.009, 5, -2/3 in increasing order. -78, -2/3, 5, 30.009 Sort 106683, -15, -2 in increasing order. -15, -2, 106683 Sort -7051, -2, 6, 0, 2, -3, 3 in decreasing order. 6, 3, 2, 0, -2, -3, -7051 Sort -5536, 2, -247, -4 in descending order. 2, -4, -247, -5536 Put -1840, 47, -3, 9 in increasing order. -1840, -3, 9, 47 Sort -1, -1290, 616 in decreasing order. 616, -1, -1290 Put 5521, -2624, -2 in descending order. 5521, -2, -2624 Sort 0.4, 10, 0.02021, -1/5, -0.4 in decreasing order. 10, 0.4, 0.02021, -1/5, -0.4 Put 1, -38, 7, 8, 4 in descending order. 8, 7, 4, 1, -38 Sort 3, 4, 351, -265, 5 in descending order. 351, 5, 4, 3, -265 Put 26, 947/2, 15.5, -1/2, -1/3 in increasing order. -1/2, -1/3, 15.5, 26, 947/2 Put -18, 20, 3, -17, 0, 18 in descending order. 20, 18, 3, 0, -17, -18 Put 3801, 3, -5, 22696 in increasing order. -5, 3, 3801, 22696 Sort 2, 1, -1663, 24461 in ascending order. -1663, 1, 2, 24461 Put -29, 155, -20, 3 in descending order. 155, 3, -20, -29 Put 0.10565, 5, -5, -13/20, 0.3 in descending order. 5, 0.3, 0.10565, -13/20, -5 Put -1, 4007439, 11 in decreasing order. 4007439, 11, -1 Put -0.1121, 251/16, -1/3 in decreasing order. 251/16, -0.1121, -1/3 Put -195, 0.3, 308, 4 in decreasing order. 308, 4, 0.3, -195 Sort -63, 98, 192 in descending order. 192, 98, -63 Sort -971, 0.2, -34/155, -4, -0.1 in descending order. 0.2, -0.1, -34/155, -4, -971 Sort -0.4, -2/7, -2.9, 8/7, -6/17 in decreasing order. 8/7, -2/7, -6/17, -0.4, -2.9 Put 0.5, 28.8, 3, -2, 2/229 in descending order. 28.8, 3, 0.5, 2/229, -2 Put 1, -360, 5, -4, 3, 2, 322 in descending order. 322, 5, 3, 2, 1, -4, -360 Put 14107, -11, -4, 2 in descending order. 14107, 2, -4, -11 Put 2, 1, 958731, -3 in increasing order. -3, 1, 2, 958731 Sort -22794, -4, -15 in decreasing order. -4, -15, -22794 Put -15, 2622, 47 in descending order. 2622, 47, -15 Sort 16, -229, 5, 4, 3, -19 in ascending order. -229, -19, 3, 4, 5, 16 Put -5, -6, 72580 in ascending order. -6, -5, 72580 Put 1, -6939/7, -68, 1/6 in decreasing order. 1, 1/6, -68, -6939/7 Put 5, 0.4, -0.3, -2/9, -5/2, 6.94 in increasing order. -5/2, -0.3, -2/9, 0.4, 5, 6.94 Put 2206/81, -6/7, -3/5 in ascending order. -6/7, -3/5, 2206/81 Sort 5, -5, -76, -2, 8, 6, 3 in increasing order. -76, -5, -2, 3, 5, 6, 8 Sort -4, 159, -229, -94, -2 in descending order. 159, -2, -4, -94, -229 Put -16, -423, -1, -56, 2 in ascending order. -423, -56, -16, -1, 2 Sort -198, -5, -1, -30, -2, 5 in descending order. 5, -1, -2, -5, -30, -198 Sort 0, 10134, -669 in decreasing order. 10134, 0, -669 Sort -3, -2, -1, 0, -64, 23, 4 in decreasing order. 23, 4, 0, -1, -2, -3, -64 Put 4, 7, -962, 11 in ascending order. -962, 4, 7, 11 Put 4, 5, -3, 188, -23, -4, 28 in ascending order. -23, -4, -3, 4, 5, 28, 188 Sort -23/68, -0.5, -3, -8182, 2 in ascending order. -8182, -3, -0.5, -23/68, 2 Sort 16/3, 19, -5, -1, 2.232. -5, -1, 2.232, 16/3, 19 Sort 0.06, -2/3, -0.4, 576, 4.4 in decreasing order. 576, 4.4, 0.06, -0.4, -2/3 Put 1.393, -0.3, 140 in increasing order. -0.3, 1.393, 140 Put 157198, 17, -0.08 in increasing order. -0.08, 17, 157198 Sort -6, 9, -2256, -5, 2, 10 in incr
{ "pile_set_name": "DM Mathematics" }
valuate ((-376)/(-72) + -5)*(-3)/(-4). 1/6 What is the value of 1*-6*49/98? -3 Calculate ((0 + -6)/(-18))/((-8)/(-56)). 7/3 (-2 - -1)*(9 + (-36)/6) -3 What is ((-2784)/1160)/(6/10)? -4 What is the value of (1/(-2))/(45/180)*-2? 4 What is the value of (-4)/8 + 305/70 + -3? 6/7 What is (-8 - 4)/(-2) - (3 - -5)? -2 What is the value of (2/(-20))/((-74)/(-185))? -1/4 What is the value of (-44)/24 + 9/6? -1/3 Calculate 634/3804*((-24)/(-10) - 0). 2/5 28/16 + ((-33)/12 - -2) 1 Evaluate -5 + 4 + -3*(-6)/36. -1/2 (10/(-7))/((16/(-28))/(-4)) -10 Calculate 104/18 - (33 + -27). -2/9 Evaluate 14/70 - (-1)/(-3). -2/15 (-3)/6 - (11/(-4) - -3) -3/4 (3/(-14))/(((-108)/(-8))/9) -1/7 What is (88/154)/((-4)/14)? -2 Calculate 40/(-28) + (-9940)/(-6615). 2/27 (-355)/(-426) - 5/(-3) 5/2 Evaluate 6/(-10) - 0 - (-67 + 67). -3/5 What is 40/15 - 2/(-6)? 3 What is the value of 6/(-28)*(-148)/(-111)? -2/7 Calculate ((-8)/(-12))/(-1)*(-3)/3. 2/3 Calculate 2/(-13) + (-175)/975. -1/3 What is 4 + 45/20*-4? -5 Calculate (-143)/(-65) + 1/(-5). 2 What is 4/(-42) - (-20)/63? 2/9 What is ((-25)/50 - (-2)/4) + 5? 5 0 + (-8)/15 + 7/21 -1/5 Calculate 1/((-1)/2 - -4). 2/7 Calculate (30/9)/(-5) - (-289)/357. 1/7 (2/(-4))/(4/32*-12) 1/3 What is the value of (22/385)/((-1)/5)? -2/7 What is (-2*(-6)/(-42))/((-24)/70)? 5/6 Calculate ((-3)/(-9))/((-4)/12). -1 (-5)/30*5 + 12/9 1/2 What is (-4)/12*0*15/(-30)? 0 Evaluate ((15/(-105))/(2/(-4)))/(-1). -2/7 Calculate (2 + -3)*3*(-6)/54. 1/3 What is 1*(-2)/(-30)*5? 1/3 (3 - (-348)/(-90)) + 1 2/15 (-3)/(-6) - (-21)/(-6) -3 (15/75)/(3/10) 2/3 Calculate -1 - (5 + -12 + (-5 - -11)). 0 Calculate (-1)/((-63)/(-14)) + 43/(-9). -5 Calculate (-19)/1140*6 + 3/5. 1/2 Evaluate (-2)/(-4)*-3 + 63/14. 3 6 + 10 + -13 + (1 - 2) 2 Calculate 326/(-30) + 89 + -78. 2/15 Evaluate 1*((-7 - -4) + 3). 0 What is (-130)/(-35) - (-3 - 38/(-14))? 4 What is 6/(-10) - 56/(-60)? 1/3 What is ((-21)/(-42))/(1 - (-10)/(-12))? 3 What is the value of (-1)/(((-4)/32)/(1/(-2)))? -4 (-640)/(-105) + 30/(-5) 2/21 What is the value of 29/(-35) + (-3)/(-21)*-4? -7/5 Evaluate 2/14 + (-1134)/(-294). 4 What is the value of 86/(-387) + (-140)/18? -8 Calculate -4 + (2/10)/(3/15). -3 (-5)/(-8) + 4232/7360 6/5 What is -2*(-62)/(-130) + 216/270? -2/13 What is the value of 5 - ((-544)/(-88) - 1)? -2/11 Evaluate -4 + ((-4)/6)/((-12)/63). -1/2 -3*(10 + 11/(-1)) 3 2 - (-1)/((-2)/10) -3 Calculate (-1*(1 + 1))/1. -2 276/483 + (-68)/70 -2/5 What is the value of ((-32)/20)/((-8)/(-20))? -4 ((-2)/4)/(-1*(-1 - 2)) -1/6 What is the value of ((-656)/(-160))/41*8/10? 2/25 (-10)/(-12)*36/40 3/4 Evaluate -1*(3 + -2) - (-165 - -171). -7 What is 23/14 - (-41)/(-287)? 3/2 Evaluate (-88)/(-11) + 78/(-10). 1/5 (-1)/(-5) - (-4 - 1188/(-240)) -3/4 Calculate (-1)/(-3)*(-12)/14. -2/7 Calculate 1/2*(-3 - -1 - -2). 0 Calculate ((-10)/(10 - 20))/(1 - 4). -1/3 What is (-4)/(24/(-18)) - 0? 3 What is 40/8 - 2 - (-7)/(-3)? 2/3 (1/6*16)/(26/39) 4 Calculate (9 + 559/(-65))/1. 2/5 (0 - 9)*(5 + 7)/(-12) 9 (33/(-2))/(-3) + -5 1/2 (-4)/(-100) - (-169)/3900 1/12 What is the value of -3*(((-11)/9)/11)/1? 1/3 Evaluate -8*(6 + (-39)/6). 4 Evaluate (-2)/3*17/(510/45). -1 Calculate (-2)/(-50)*85/(-34). -1/10 What is the value of (3180/65)/(-6) + 27 + -19? -2/13 Evaluate (-7 + 370/40)*-4. -9 Calculate (-7)/35*(-10)/4. 1/2 Calculate (-9 + -1)*-1*(-4)/(-90). 4/9 Evaluate (-2)/10 + (-32)/15 + 2. -1/3 What is the value of -11 + (-9)/18*-22? 0 Calculate (0 + -2 - -1)*(-98 + 101). -3 Calculate (-37 + 42 - (2 + 1))*2. 4 What is the value of (36/(-48))/(9/8)? -2/3 Evaluate (-7)/((-21)/6) + 3/6. 5/2 Calculate (-5)/((-1760)/24) + (-4)/(-22). 1/4 Calculate 111/(-39) - 2/13. -3 (-3)/((-21)/19) - 52/(-182) 3 What is the value of 8 + (-45)/(-9)*-2? -2 Calculate (-10)/(25 + 5) + (-2)/3. -1 Calculate ((-2)/2)/(3 - 7). 1/4 Calculate (254/1905)/((-1*2)/6). -2/5 What is the value of (-1 - (-16)/6)*3? 5 (4 + 0)/2*-2 -4 Evaluate (4/(-14))/(14 + -16). 1/7 Evaluate 1 - (45/(-10))/(14/(-4)). -2/7 (1/3)/(7/(-42)) -2 26/(-7) + (0 - 4/14) -4 Evaluate 7 - 468/24 - -8. -9/2 Evaluate (-68)/102 + (-4)/(-6). 0 Evaluate (-2)/(-7) + (-20)/(-224). 3/8 What is (22/110)/((-1)/(-20))? 4 What is the value of 68/153 - (4 + -4)? 4/9 Calculate (-2)/(-9) - (-312)/(-432). -1/2 Evaluate ((-1025)/130 - -8)/(6/(-8)). -2/13 5 + (-485)/45 + 6 2/9 (18/28)/((-210)/(-245)) 3/4 10/4*(-23 - -5 - -16) -5 Calculate (-1)/4*(-16)/14. 2/7 Calculate 9/(27/15) + (-68)/12. -2/3 Calculate (-3 - 14/(-6))*(-3)/(-2). -1 -9*20/(-90) - 12/5 -2/5 Evaluate -3 - (10/3)/(168/(-126)). -1/2 Evaluate 6/(-4)*(-1)/3*12. 6 What is (-3*3/(-45))/((-15)/(-6))? 2/25 10/12 - 104/(-48) 3 What is (-60)/96 - (-7)/8? 1/4 (-1 - 11/(-7))/(22/154) 4 What is the value of (375/625)/((-1)/(-3 - -2))? 3/5 Calculate 2/(-10) - (-99)/2145. -2/13 Evaluate (-21)/126 - 78/(-36). 2 What is the value of 144/36 + 9/(-2)? -1/2 What is the value of 60/8*(-16)/80? -3/2 Evaluate (((-24)/(-9))/(-4))/(14/6). -2/7 Calculate -4 - (40 - 35 - (3 + 0)). -6 38/8 - (-11)/44 5 Evaluate 8 + (3 + -2 - 4). 5 Calculate (-16)/6 - (0 - (3 - 0)). 1/3 What is 125/20 - 6 - 30/(-8)? 4 What is the value of -2 - (-11)/((-44)/8)? -4 Evaluate 3*(-8 - (-123)/15). 3/5 Calculate (-3)/((16/(-4))/(-2)). -3/2 What is ((-33)/13 + 2)*30/(-105)? 2/13 What is (-2)/(-4)*(416/40 + -10)? 1/5 Calculate ((-1196)/(-24))/23 + -3. -5/6 What is the value of (-84)/(-27) - (-28)/(-252)? 3 Evaluate (-18)/(-21) - 680/140. -4 -2*(-7)/(-42)*6*1 -2 What is ((-6)/5)/((-42)/140)? 4 Evaluate ((-10)/8 + 1)*1. -1/4 What is (-30)/(-10) - 44/8? -5/2 Calculate -13 + 8 + 3/(-10)*-18. 2/5 Calculate (-14)/(1/(10/4 + -2)). -7 What is the value of -4*(-2)/(-56)*1? -1/7 What is -6 + (-166)/(-10) + -10? 3/5 Calculate -1*(-2)/(-52)*-56 - 2. 2/13 (14/21)/(-1 - 5) -1/9 19 - ((1 - -20) + -12) 10 Calculate 8 + (-78 - -70) + 16/2. 8 Calculate ((-2)/(-12))/(4/240). 10 What is the value of (-764)/2865*(-5)/8? 1/6 What is 0/(4/(-1) + 2/2)? 0 What is the value of 5 + -7 + -5 + 8? 1 Evaluate ((-35)/70)/(21/4). -2/21 Evaluate 1/(24/(-4) - -5). -1 Calculate -2 - 138/(-42) - 2 - -1. 2/7 Evaluate (-52)/168 - (-2)/14. -1/6 Calculate 12/(-8)*2*1. -3 Calculate 4/(-12) + 6/(-3). -7/3 Evaluate 36/48 + 51/12. 5 Calculate ((-18)/(-450))/(6/20). 2/15 Calculate 78/(-36) - 35/42. -3 Calculate ((16/4)/(-24))/1. -1/6 Calculate 42/10 - ((-52)/(-65))/4. 4 Calculate 2 + 1 + -1 + 120/(-56). -1/7 What is the value of (-3)/6 + -3*(-21)/18? 3 What is the value of ((-120)/(-280))/((-228)/(-56))? 2/19 Evaluate 2*-1 + 3 + 18/(-14). -2/7 What is the value of (-19)/5 - (-13 + 17 + -8)? 1/5 What is -6 + ((-18)/(-24) - -5)? -1/4 What is the value of 9/(-12) + 46/8? 5 (1 - -2) + 4/(-5 - -9) 4 What is the value of ((-20)/6)/(20/30)? -5 Evaluate (-20)/4*(-1 - 4/(-10)). 3 Calculate (-2)/(-7)*(-77)/(-165). 2/15 What is ((-1)/4)/(13*(-6)/(-78))? -1/4 What is the value of 20/(-63) - (-4)/(-36)? -3/7 Calculate (9 + -6 - 7) + 8/1. 4 ((-20)/25)/(56/20) -2/7 What is 1 - (368/128 + (-1 - 1))? 1/8 Evaluate 0 - 70/(-990) - (-2)/(-11). -1/9 Calculate 18/(-4)*(-32)/(-120). -6/5 What is the value of 1*(-16)/12 - (-2)/(-3)? -2 (-19)/(-627)*(5 - -1)*1 2/11 3 + 32/((-88)/11) -1 7/(-2) - (-90)/18 3/2 What is the value of ((-12)/20)/((-147)/70)? 2/7 Evaluate 450/(-48) + 1 + 48/6. -3/8 What is the value of -4*2/14*(-15)/(-20)? -3/7 What is ((-16)/6)/((-6)/(-9))? -4 Calculate ((-102)/(-42) + -3)*1/2. -2/7 (-9 - 0)*10/(-150) 3/5 Evaluate 2*(-10)/4 + (-432)/(-54). 3 What is the value of (12/(-18))/(2 + (-26)/12)? 4 (7/(-21))/(69/27 - 3) 3/4 (126/(-45) + 4)/((-3)/(-10)) 4 What is (18/(-495))/((-2)/(-10))? -2/11 Evaluate ((-1)/9)/(6/36). -2/3 What is the value of ((-36)/(-15))/((-12)/(-20))? 4 Evaluate ((-6)/4)/(-7 - -10). -1/2 Calculate ((-426)/60 - -7)/((-6)/10). 1/6 What is the value of (-14)/63 - 60/(-27)? 2 (-9936)/(-1620) + (-12)/2 + 0 2/15 1 - (0 - (-4 - -2)) -1 What is the value of 5 - 22/5 - 135/(-25)? 6 Evaluate 10 + -4 - (11 - 3). -2 Calculate 72/14 - (-264)/(-44). -6/7 What is the value of -1*0/(-4 + 6)? 0 (-33)/(-90) + 2/(-10) 1/6 Evaluate 2/(34/15) - (-5)/(-5). -2/17 Evaluate (-46 + 43)*(-4)/18. 2/3 Calculate (-10)/30*(3 + -24). 7 What is the value of 2/(-10 + (-36)/(-3))? 1 (370/(-4662))/(5/6) -2/21 What is 5/(3 - 13)*-2? 1 What is -2*(-4)/(-9) + 314/1413?
{ "pile_set_name": "DM Mathematics" }
+ 10. Determine q*s(t) + 6*u(t). t - 4 Suppose -2*f = 1 - 7. Let n be 4*(-7 + 6) + 140. Let g = -138 + n. Let j(p) = 2*p**3 - p + 1. Let a(l) = l**3 - l + 1. Determine f*a(u) + g*j(u). -u**3 - u + 1 Let q(a) = -3*a + 10. Let u(s) = -2*s + 7. Let z be (2 + -2 - 1)*(2743 - 2750). Suppose 3*d = d - 10. Give d*q(f) + z*u(f). f - 1 Let x(f) = 1487*f**2 + f - 35. Let w(a) = -13383*a**2 - 9*a + 333. What is 2*w(g) + 19*x(g)? 1487*g**2 + g + 1 Let f(v) = -2*v**3 - 6*v + 5. Let c(i) = -3*i**3 - 7*i + 6. Let t be ((-48)/18 - 3) + 10/6. Give t*f(j) + 3*c(j). -j**3 + 3*j - 2 Let m(k) = -14201*k. Let p(a) = -303688357*a. Calculate 42771*m(z) - 2*p(z). -14257*z Let a(v) = -2*v**3 + v**2 - 2*v + 3. Let b(r) = -11*r**3 + 4*r**2 + 19. Calculate -4*a(g) + b(g). -3*g**3 + 8*g + 7 Let d(a) = 28*a**2 - 9*a - 14. Let k(m) = -23*m**2 + 10*m + 14. Determine -5*d(j) - 6*k(j). -2*j**2 - 15*j - 14 Let d(t) = t**2 + 2*t + 2. Let x(b) = -3205*b**2 - 6*b - 6. What is 3*d(z) + x(z)? -3202*z**2 Let q(j) = -181*j + 2. Let p(g) = -929*g + 10. Determine -2*p(c) + 11*q(c). -133*c + 2 Let t(m) = 59*m + 1 - 27*m - 33*m + 6 - 2. Let o(d) = 2*d - 10. What is -3*o(a) - 5*t(a)? -a + 5 Let m(y) = -5*y**3 + y**2 - 1. Suppose -161*s - 7*s = 117*s + 3135. Let j(n) = 14*n**3 - 2*n**2 + 4. Calculate s*m(h) - 4*j(h). -h**3 - 3*h**2 - 5 Let o(t) = 7*t**2 - 2*t - 284. Let d(i) = 20*i**2 - 5*i - 851. Give -4*d(s) + 11*o(s). -3*s**2 - 2*s + 280 Let q(a) = 2*a + 4. Let h(g) = -4377*g + 8. Give -h(k) + 2*q(k). 4381*k Let o(u) = -4*u**2 - 20*u - 8. Let b(p) = 2*p**2 + 6*p + 5. Determine 10*b(y) + 6*o(y). -4*y**2 - 60*y + 2 Let k(w) = -1. Suppose 6*y - s = y + 66, y - 4*s + 2 = 0. Let v(o) = -o + 9. Let f be v(y). Let u(b) = -b - 7. Let i = -49 - -84. Calculate f*u(c) + i*k(c). 5*c Let h(y) = -3*y**3 + 3*y**2 + 2*y - 6. Suppose -55*i + 35 = -4*i + 137. Let x(t) = t**3 - t**2 - t + 1. Determine i*x(w) - h(w). w**3 - w**2 + 4 Let m = -183 - -185. Suppose -r + 10 = -4*l, 0*r - 4*l - 28 = m*r. Let a be -3*(2 + 23/(-3)). Let s(h) = 15*h. Let j(p) = 5*p. Calculate a*j(d) + r*s(d). -5*d Let a be (-9 + -56)*12/(-60). Let m(j) = 2*j**2 + 11*j - 3. Let o(t) = 4*t**2 + 23*t - 7. Calculate a*m(d) - 6*o(d). 2*d**2 + 5*d + 3 Let h(t) = -t**2. Suppose r + 9 = -4*d + 37, 3*r - 28 = -4*d. Let c(w) be the second derivative of r - 18*w + 0*w**3 + 0*w**2 + 7/6*w**4. Give -c(j) - 12*h(j). -2*j**2 Let q(p) = 18*p - 466. Let l(g) = -8*g + 235. Give -7*l(h) - 3*q(h). 2*h - 247 Let m(z) = -2*z**2 - 6*z - 154. Let a(d) = -4*d**2 - 3*d - 160. Calculate -3*a(v) + 2*m(v). 8*v**2 - 3*v + 172 Let x(i) = 2*i**3 + i + 2. Let p(q) = -9*q**3 + 1411*q**2 - 5*q - 10. Give -p(r) - 5*x(r). -r**3 - 1411*r**2 Let x(c) = -468*c + 8. Let u(m) = -929*m + 17. Give 6*u(t) - 13*x(t). 510*t - 2 Suppose 27*u - 213 = 300. Let g(n) = 31*n - u*n + 3 - 15*n. Let a(r) = 1. Give -6*a(c) + g(c). -3*c - 3 Let q = -15161 - -15157. Let w(d) = 6*d**3 - 4*d**2 - 2*d - 4. Let z(y) = 12*y**3 - 9*y**2 - 5*y - 9. Calculate q*z(g) + 9*w(g). 6*g**3 + 2*g Let k = 163 - 131. Let p(i) = k*i - 1 + 38*i - 68*i. Let u(o) = -o + 1. What is 3*p(j) + 3*u(j)? 3*j Let h(y) = -98*y**2 - 39*y - 14. Let a(t) = -36*t**2 - 14*t - 5. Let c(f) = 11*a(f) - 4*h(f). Let m(n) = n**2 - 1. Calculate c(i) + 6*m(i). 2*i**2 + 2*i - 5 Let a(z) = -6*z**2 - 8*z. Suppose 110 + 110 = 44*y. Let u(q) = q - 9. Let j be u(11). Let f(t) = 2*t - 2*t**2 + 2*t**2 - 3*t - t**j. What is y*f(b) - a(b)? b**2 + 3*b Let a(c) = -2*c**3 - 38*c**2 - 3*c. Let b(t) = 2*t**3 + 37*t**2 + 3*t. Give 9*a(n) + 8*b(n). -2*n**3 - 46*n**2 - 3*n Suppose 25 - 7 = 3*b. Suppose 74*l - 3*l - 954 = -31. Let w(v) = -v + 5. Let i(n) = 2*n - 11. Calculate b*i(a) + l*w(a). -a - 1 Let d(w) = w**2 - 4. Suppose 35*k = 13*k - 66. Let j = k - -4. Let y(u) = 1. Calculate j*d(t) + 4*y(t). t**2 Let t(i) = 5632*i**2 - 5632*i + 5632. Let x(v) = -v**2 + 2*v - 2. Give t(d) + 2816*x(d). 2816*d**2 Let s(y) = -2*y - 9. Let b be 9/(-18) + 37/(-74). Let u(h) = -1. What is b*s(l) - 4*u(l)? 2*l + 13 Suppose 3*g + 60 - 79 = -4*j, 4*g - 21 = -j. Let o(d) = 2*d**2 + 3. Let z(t) = -t + 1. What is j*o(f) - 5*z(f)? 2*f**2 + 5*f - 2 Let a(h) = -35*h + 85. Let v(l) = -154*l + 337. Calculate -9*a(k) + 2*v(k). 7*k - 91 Let x(b) = -10*b + 103. Let l(j) = 21*j - 201. Calculate 3*l(w) + 7*x(w). -7*w + 118 Let r(v) = v + 1. Let l(n) = -5*n - 1. Suppose -6*j = -j + f - 12, 3*f = -2*j - 3. Suppose 4*t + s = -2, 2*t + 2*s + 4 = j*s. Determine t*l(c) - 4*r(c). c - 3 Let z(b) = -10*b**3 + 20*b**2 - 7*b + 8361. Let v(h) = 7*h**3 - 14*h**2 + 5*h - 5574. Calculate 7*v(f) + 5*z(f). -f**3 + 2*f**2 + 2787 Let k(t) = -5*t**3 - 4*t**2 + 3*t + 3. Let v(j) = 6*j**3 + 6 + 223*j**2 - 220*j**2 + 3*j - 8 - 5*j. Calculate -2*k(x) - 3*v(x). -8*x**3 - x**2 Let p(k) = -4*k + 11. Let x(w) = 151*w - 27. Let n(a) = 65*a - 9. Let l(q) = -16*n(q) + 7*x(q). Give 6*l(b) + 26*p(b). -2*b + 16 Let k(r) = -2*r - 2. Let p be k(10). Let m = p - -25. Let n(q) = 596*q**2 - 596*q**2 - 4 - 2*q - 2*q - q**m. Let s(z) = -z - 1. Give -n(j) + 4*s(j). j**3 Suppose -6*p = 3*p - 243. Suppose 0 = -h - p + 29. Let w(y) = y**2 - 9*y - 5. Let q(f) = 2*f - f**2 - 6*f + 0*f + 2*f**2 - 2. Give h*w(c) - 5*q(c). -3*c**2 + 2*c Let n(x) = -2*x + 7. Suppose -3*m + q = -19 - 24, -3*q + 1 = m. Let v(o) = -113*o + 446. Let h be v(4). Let k(c) = -5*c + 15. Calculate h*k(i) + m*n(i). 4*i + 1 Let w(g) = 16*g**3 + 3*g**2 + 3*g - 3. Suppose -176 + 206 = 10*d. Let y(m) = 16*m**3 + 2*m**2 + 2*m - 2. Give d*y(r) - 2*w(r). 16*r**3 Let c(w) = 4*w - 16. Let v(n) = 3*n - 15. Let q = -31191 + 31185. What is q*c(s) + 7*v(s)? -3*s - 9 Let t(d) = -18*d**3 - 4*d + 8. Let h(k) = -157*k + 156*k + 2 + 5*k**3 - 11*k**3 - 1 + 2. Calculate -8*h(r) + 3*t(r). -6*r**3 - 4*r Let s(y) = 5*y**3 + 5*y**2 + 792*y - 3. Let w(r) = 2*r**3 + 2*r**2 + 393*r - 1. What is -3*s(x) + 7*w(x)? -x**3 - x**2 + 375*x + 2 Let b(a) be the second derivative of a**3/6 - 6*a. Let n(q) be the third derivative of q**5/30 - 5*q**4/12 - 118*q**2. Determine -40*b(g) - 4*n(g). -8*g**2 Let u(k) = -k**2 - k - 1. Let f(p) = -p**3 - p**2 + 4*p + 6. Let i be 9/((0 - -2)*4*(-30)/160). What is i*u(l) - f(l)? l**3 + 7*l**2 + 2*l Let p(u) = -94*u. Let j(g) = -17*g. Let w(d) = -34*j(d) + 6*p(d). Let s(n) = -279*n. Give 4*s(y) + 81*w(y). 18*y Let k(g) = -29*g**2 - 234*g + 3. Let i(l) = 10*l**2 + l - 1. What is 15*i(w) + 5*k(w)? 5*w**2 - 1155*w Let j(y) be the third derivative of y**2 + 15*y + 0 - 1/6*y**3 + 7/24*y**4. Let s(u) = 8*u - 2. Determine 5*j(l) - 4*s(l). 3*l + 3 Let o(x) = 6*x - 4. Let v(m) be the second derivative of -5*m**3/6 + 3*m**2/2 - 3*m. Let a be 10*(14/(-4) - -4). Let f = -1275 + 1279. What is a*v(g) + f*o(g)? -g - 1 Let v(q) = 29*q**2 - 2*q + 2. Let c(d) = 2232*d**2 - 155*d + 155. Let m = -3033 + 3031. What is m*c(n) + 155*v(n)? 31*n**2 Let o(l) = l**2 - 1. Let s(z) = -4127 + 4128 + 6*z + z**2 - 15*z - z**3. What is o(t) - s(t)? t**3 + 9*t - 2 Let l(b) = -35*b + 6. Let k(o) be the third derivative of -o**4/24 - o**3/6 - o**2 + o - 109. Determine 4*k(n) + l(n). -39*n + 2 Let w(f) = f**2 - f + 1. Let t = 14686 - 14802. Let s(b) = 145*b**2 - 116*b + 116. Give t*w(d) + s(d). 29*d**2 Let u(v) = -7363*v**3 + 3 - 1 + 2*v**2 + 14715*v**3 - 7301*v**3. Let c(y) = 50*y**3 + 3*y**2 + 3. Give -2*c(q) + 3*u(q). 53*q**3 Let i(k) = -33*k**2 + 26*k - 3. Let v(x) = 132*x**2 - 95*x + 11. Determine 22*i(z) + 6*v(z). 66*z**2 + 2*z Let p(a) = 479*a + 7. Let u(q) = -23*q - 1. Give -p(z) - 4*u(z). -387*z - 3 Suppose 3*r + 5*t - 37 = 0, 2*r + 3 - 1 = 2*t. Let o(i) = 5*i - 2*i - 5*i**3 - 523 + 520. Let w(j) = 4*j**3 - 2*j + 2. Give r*o(s) + 6*w(s). 4*s**3 Let w(c) = -10*c**2 + 4*c - 4. Let u be (-362)/905 + (-18)/5. Let n(l) = l**2 + l - 1. Determine u*n(s) + w(s). -14*s**2 Let d(o) = -6*o - 2. Let x = 5913 - 5915. Let m(p) = -5*p - 2. Calculate x*d(j) + 3*m(j). -3*j - 2 Let x(n) = 11*n - 558 - n**2 + 1687 - 568 - 559. Let s(j) = -6*j**2 + 54*j + 11. Calculate 2*s(o) - 11*x(o). -o**2 - 13*o Let q(m) = -4*m - 12*m - 6*m + 23*m - 2*m. Let z(k) = k + 4. Give -4*q(x) - z(x). 3*x - 4 Let a(j) = 8*j**2 - 41*j + 22. Let p(k) = -33*k**2 + 170*k - 92. Let s(o) = 25*a(o) + 6*p(o). Let q(r) = 3*r**2 - 6*r - 3. Give 3*q(w) - 4*s(w). w**2 + 2*w - 1 Let s(q) = -1. Let u = -9092 - -9097. Suppose -30 = 4*c -
{ "pile_set_name": "DM Mathematics" }
50 by 122. 825 2220 divided by 185 12 What is -34979 divided by -6? 34979/6 Divide -71520 by 4. -17880 -280434 divided by 6 -46739 Divide 7 by 46756. 7/46756 What is 1803 divided by 10? 1803/10 Calculate 38811 divided by 4. 38811/4 3509 divided by 29 121 Divide 21 by 20261. 21/20261 Calculate -76618 divided by 34. -38309/17 7 divided by 2741 7/2741 What is 32 divided by -11936? -1/373 Calculate -75816 divided by 9477. -8 Divide 5931 by -1977. -3 Calculate 30 divided by -336. -5/56 -235 divided by 5 -47 Calculate 70944 divided by -17736. -4 Calculate 330400 divided by -2950. -112 44041 divided by 6 44041/6 What is -93844 divided by -58? 1618 What is 3244650 divided by 194? 16725 What is -10032 divided by -33? 304 27804 divided by 2317 12 195 divided by 14702 195/14702 -24120 divided by 12 -2010 Divide -10880 by -20. 544 What is -52604 divided by -13151? 4 -143 divided by 2221 -143/2221 What is -13050 divided by 4350? -3 Divide -28 by 17429. -28/17429 What is 2 divided by 33694? 1/16847 Calculate 10575 divided by 3525. 3 Divide -39647 by 5. -39647/5 93000 divided by 60 1550 Divide -3 by -19962. 1/6654 Divide -531468 by -3591. 148 Calculate -4 divided by 26767. -4/26767 Calculate -255513 divided by -3. 85171 What is -38541 divided by 29? -1329 What is 206 divided by 2115? 206/2115 Divide -55548 by -55548. 1 Calculate 3981090 divided by -6. -663515 Divide 4 by 16586. 2/8293 Calculate 0 divided by 3031. 0 Calculate 2 divided by 173302. 1/86651 -953 divided by -1 953 Divide -6 by 9139. -6/9139 What is 8 divided by 79025? 8/79025 Calculate 3 divided by -26896. -3/26896 What is -63 divided by 613? -63/613 Divide 602043 by 1677. 359 Divide 124420 by 24884. 5 What is 912492 divided by -6426? -142 What is 0 divided by -31800? 0 2 divided by -150887 -2/150887 Calculate -160 divided by -7. 160/7 What is -387224 divided by 3992? -97 What is -32670 divided by 8? -16335/4 28 divided by 919 28/919 -120687 divided by 2463 -49 Calculate 31 divided by 54. 31/54 What is -397155 divided by -5? 79431 What is 26536 divided by 48? 3317/6 What is -76842 divided by -1? 76842 What is -742671 divided by 247557? -3 3200 divided by 800 4 What is -1194482 divided by -3? 1194482/3 244562 divided by 2 122281 Calculate -78001 divided by -12. 78001/12 5549664 divided by 346854 16 What is -3618813 divided by -109661? 33 Calculate -151 divided by -24832. 151/24832 42714 divided by -2373 -18 Calculate -2730 divided by 390. -7 59683 divided by -1 -59683 35620 divided by 8905 4 -11 divided by 4323 -1/393 Divide 65964 by -5497. -12 What is -14378 divided by -553? 26 What is 7704 divided by -6? -1284 Divide 94248 by -504. -187 Calculate 24192 divided by 1344. 18 29564304 divided by 6 4927384 Calculate -2 divided by -784. 1/392 Calculate -1598 divided by -618. 799/309 4 divided by -306178 -2/153089 151797 divided by 3 50599 What is -11432 divided by 2858? -4 489 divided by -89 -489/89 Calculate -161728 divided by -56. 2888 Calculate 2759232 divided by -229936. -12 What is 4984 divided by -2492? -2 Calculate -82 divided by -4690. 41/2345 Divide -44 by -763. 44/763 Calculate -30800 divided by 23. -30800/23 What is 632 divided by 13217? 632/13217 -1777 divided by -20 1777/20 5925185 divided by -5 -1185037 Calculate 269051 divided by -5. -269051/5 What is 442467 divided by 2? 442467/2 Calculate -2472 divided by 824. -3 10 divided by 54334 5/27167 Divide 596163 by -3. -198721 What is 18159 divided by -50? -18159/50 135 divided by 26460 1/196 Calculate 3820936 divided by 497. 7688 -318478 divided by 10982 -29 958 divided by 124 479/62 -669105 divided by -15 44607 What is 449124 divided by -149708? -3 Calculate -58388 divided by -14597. 4 Divide 1887080 by 5. 377416 What is -2553 divided by -741? 851/247 Divide 35 by -2577. -35/2577 55848 divided by 12 4654 What is -175679 divided by -2? 175679/2 Divide 1066 by -1272. -533/636 Calculate -61900 divided by 6190. -10 Divide -239668 by 21788. -11 What is 6 divided by 2337? 2/779 -56211 divided by -457 123 Calculate -5914 divided by 2. -2957 Divide -13210 by -10. 1321 Calculate 22 divided by 3958. 11/1979 What is -2 divided by -26377? 2/26377 16 divided by 43223 16/43223 Divide -1124772 by -22. 51126 Divide 798196 by 399098. 2 -1160425 divided by 5 -232085 Divide 72 by -3089. -72/3089 407192 divided by 4 101798 507818 divided by -253909 -2 -162593 divided by 3 -162593/3 -53790 divided by -26895 2 Calculate 36890 divided by 31. 1190 70011 divided by 9 7779 -2177 divided by -24 2177/24 Calculate 2997078 divided by 42. 71359 What is -53486 divided by 1138? -47 Divide -1172106 by -117. 10018 What is -485082 divided by -2? 242541 Calculate -466 divided by -854. 233/427 Calculate -84 divided by 702. -14/117 Divide 3663 by -9. -407 Calculate -670746 divided by -6. 111791 What is -8682 divided by -6? 1447 What is 0 divided by -385868? 0 -15 divided by -16250 3/3250 Calculate -30 divided by 3106. -15/1553 Divide -29394 by -9798. 3 What is 2814106 divided by -3? -2814106/3 6430 divided by -2 -3215 Divide 179750 by -10. -17975 Calculate -55215 divided by 15. -3681 What is -228798 divided by 5? -228798/5 -47 divided by 1192 -47/1192 What is 218010 divided by -10? -21801 What is -192765 divided by -38553? 5 What is 289 divided by 1792? 289/1792 What is -343893 divided by 51? -6743 Divide -286 by 7413. -286/7413 89262 divided by -57 -1566 Divide -15 by 61655. -3/12331 Divide 2141 by -19. -2141/19 Divide -11188 by 15. -11188/15 What is 159944 divided by -39986? -4 What is -2 divided by -39400? 1/19700 What is 30064 divided by 4? 7516 What is 85700 divided by 25? 3428 -212784 divided by 624 -341 What is -164886 divided by -3? 54962 Calculate 974984 divided by 1819. 536 -31 divided by -13617 31/13617 Divide -305928 by 38241. -8 1150812 divided by 9 127868 Calculate 1613133 divided by -1. -1613133 Divide -35056 by -8764. 4 Calculate -30 divided by -2594. 15/1297 -41 divided by 1173 -41/1173 11610 divided by -5805 -2 2 divided by -128 -1/64 Calculate 1156958 divided by -5. -1156958/5 644 divided by -202 -322/101 -241962 divided by -7 34566 What is -6309 divided by -701? 9 -119626 divided by 6 -59813/3 -3159360 divided by 5 -631872 Calculate 33138 divided by -145. -33138/145 Calculate 81256 divided by -2902. -28 599 divided by -82 -599/82 Calculate -9 divided by -3956. 9/3956 Divide 57814 by -211. -274 -1 divided by -1257767 1/1257767 -490684 divided by 122671 -4 Calculate 2715288 divided by 138. 19676 Divide 930 by 6. 155 Calculate -42159 divided by -299. 141 What is -2 divided by 766669? -2/766669 Divide -6087985 by 5. -1217597 Calculate -1638 divided by 180. -91/10 Divide -3 by -2012. 3/2012 9945 divided by -2 -9945/2 Calculate 8146 divided by 21. 8146/21 123534 divided by -5 -123534/5 -46156 divided by 2 -23078 Calculate 39925 divided by -1597. -25 What is -9 divided by -112557? 3/37519 What is -13739 divided by -10? 13739/10 What is -4652 divided by 8? -1163/2 Calculate -166664 divided by 41666. -4 -39537 divided by 573 -69 Divide 38352 by -204. -188 133 divided by -431 -133/431 Calculate 10 divided by 26057. 10/26057 What is -11911 divided by 5? -11911/5 1167 divided by -4326 -389/1442 Calculate 1019578 divided by -2. -509789 -552985 divided by -5 110597 0 divided by -440643 0 Calculate 2404684 divided by -1. -2404684 Calculate -6684 divided by 80. -1671/20 Calculate -3 divided by 174175. -3/174175 Calculate 6 divided by -36146. -3/18073 What is -13244 divided by -2? 6622 Divide 14 by -462. -1/33 Calculate -184002 divided by 7. -26286 1196656 divided by -74791 -16 What is -89 divided by 1361? -89/1361 Calculate 4245180 divided by 1. 4245180 Calculate 326865 divided by 105. 3113 Calculate 5 divided by 4117. 5/4117 What is 799698 divided by -399849? -2 Calculate -64180 divided by 5. -12836 Divide 80996 by 20249. 4 -1531 divided by 1047 -1531/1047 Calculate 89 divided by -42. -89/42 Divide 2 by -451678. -1/225839 Calculate 29506 divided by 67. 29506/67 What is 225722 divided by 112861? 2 24 divided by 5543 24/5543 -819 divided by 2 -819/2 Calculate 101286 divided by 102. 993 -4 divided by -12282 2/6141 -653840 divided by 1 -653840 21392 divided by -191 -112 151 divided by -1299 -151/1299 -8896 divided by 2224 -4 Divide -3559570 by -1205. 2954 Calculate -7056 d
{ "pile_set_name": "DM Mathematics" }
oes 25 divide x? False Let r be ((-49)/(-7))/(1/(-5)). Let g = -29 - r. Is g a multiple of 3? True Let t = 139 - 132. Is t a multiple of 2? False Let m(y) = y**3 - 6*y**2 + 9*y + 15. Is m(8) a multiple of 43? True Let y be (0 - 16/(-20))*30. Suppose -3*r = 0, u + r = -u + y. Does 6 divide u? True Let z be 18 - (-3 - 1)/(-1). Let m = z - 2. Does 3 divide m? True Let j = 19 - 16. Let g be 3 + -2 - (j + -2). Suppose a - 62 = -3*v, -4*v + 85 = -g*v - a. Is v a multiple of 15? False Let m(r) = -r**2 - 16*r. Is 17 a factor of m(-7)? False Let v(j) = 2*j - 3. Let w(o) = -2*o + 4. Let c(g) = 6*v(g) + 5*w(g). Let m be c(2). Is (135/18)/(m/8) a multiple of 10? True Let z = -82 + 84. Suppose -7*o + 576 = -3*o + 5*k, -z*k + 576 = 4*o. Is o a multiple of 12? True Let m(k) = -4*k + 2. Let t be m(-2). Let q be ((-18)/t)/((-3)/15). Suppose 46 = -q*a + 10*a. Is 22 a factor of a? False Does 14 divide (-1)/(17259/(-2464) - -7)? True Suppose -4*z = -5*l - 1166, -2*z - 3*z + 4*l = -1462. Is z a multiple of 14? True Let n(i) = 1. Let h(u) = -u + 20. Let s(b) = h(b) - 2*n(b). Is s(-13) a multiple of 11? False Let t = 27 + -29. Let r = t + 5. Is 3 a factor of (r/((-12)/88))/(-1)? False Let l(o) = 22*o. Let d(a) = -a - 2. Let b(s) = s**3 + s**2 - 2*s - 3. Let n be b(-2). Let z be d(n). Does 7 divide l(z)? False Suppose -8*i + 151 = -81. Does 2 divide i? False Let r be ((-2)/(-4))/(6/48). Suppose r*o + 11 = -5. Let p(c) = -c**3 - 2*c**2 - 2*c. Is p(o) a multiple of 13? False Suppose -5*t - 420 = -3*h + 2*h, -2*t = -2*h + 176. Let d = t - -143. Is (2/(-6))/((-2)/d) a multiple of 10? True Let b(q) = -q**2 - 9*q - 13. Let z be b(-8). Does 13 divide 1 + z - (-190)/(4 + -2)? True Let j(d) = -d**3 + 21*d**2 - 39*d + 43. Does 8 divide j(19)? True Let y(r) = 14*r - 28. Let n(z) = z**3 - 12*z**2 + 3*z - 30. Let a be n(12). Is y(a) a multiple of 14? True Is 14 a factor of -2*1 - (-2 - (533 + -10))? False Suppose 0 = 5*m + 4*k + 317, m + 2*m + k = -186. Is (1 + 2)*103 - (m - -58) a multiple of 40? False Let k = -28 - -30. Suppose -k*g - 53 = -z - g, 0 = -5*z + g + 285. Is 6 a factor of z? False Suppose -r - 33152 = -33*r. Does 37 divide r? True Let s(w) = -4*w - 6. Let m be s(-2). Does 4 divide 33*(-4)/(-18)*6/m? False Let x(t) = 2*t**3 + 4*t**2 + 3*t**3 - 2*t - 6*t**3. Let c be x(3). Suppose -c - 13 = -m. Does 5 divide m? False Let l = -120 + 174. Is l a multiple of 6? True Let h = 48 - 47. Let t(o) = 69*o**2 + 4*o - 3. Does 10 divide t(h)? True Suppose -27 = -3*w + 2*q - 4*q, -3*q = -4*w + 36. Let o = w + -3. Suppose 0 = o*d - 3*d - 102. Does 17 divide d? True Is -5*51258/(-210) + 8/14 a multiple of 11? True Suppose 9*r - 3792 = -867. Is r a multiple of 25? True Let j(t) = -176*t + 36. Is 21 a factor of j(-6)? True Suppose 3*c = 106 + 23. Suppose -46*b + c*b + 114 = 0. Is b a multiple of 11? False Let k(q) = -q**3 + 18*q**2 - 27*q - 3. Does 3 divide k(15)? True Let s(i) = -i**3 - 14*i**2 - 15*i - 3. Let m(j) = j**3 - 5*j**2 + 5. Let t be m(3). Does 7 divide s(t)? False Suppose -2*r + l - 136 = 0, l + 118 = -4*r - 142. Is 64/(-48)*r/4 a multiple of 11? True Suppose -3*t = -9 - 24. Suppose 0 = -3*j + j - x - 58, j = -5*x - t. Let y = 55 + j. Is y a multiple of 4? True Suppose 6*r - 1448 = 448. Does 47 divide r? False Suppose 10*v - 12*v = 136. Let z = -53 - v. Does 11 divide z? False Let x(r) be the second derivative of 8/3*r**3 + 0 + 6*r + 5/2*r**2. Is 23 a factor of x(4)? True Let x(g) = -2*g**3 + 2*g**2 - 2*g + 1. Suppose -2*y + 6 - 4 = 0. Let k be x(y). Is k/(2 - (-116)/(-56)) a multiple of 12? False Does 2 divide (668/(-12) - -5)*18/(-6)? True Let k be 1 - 9/(-4)*(-8)/(-3). Suppose -k*p - 2*p = -378. Is p a multiple of 6? True Let l(j) be the first derivative of j**3/3 + 15*j**2/2 + 11*j - 12. Does 8 divide l(-15)? False Suppose -3*c = -0*c + 2*q - 46, 3*c + 4*q - 56 = 0. Is 4 a factor of c? True Let p(g) = -85*g + 30. Is p(-6) a multiple of 5? True Suppose -3731 = -17*d + 4276. Does 13 divide d? False Let u be (12/(-10))/((-2)/5). Suppose -u*m - 270 = -3*s - 2*s, 0 = -3*m. Is s a multiple of 14? False Suppose 5*k - 18*k + 23712 = 0. Does 16 divide k? True Let c = 23 + -26. Let r = c - -16. Is 4 a factor of r? False Let y(s) = -2*s**2 + 77*s - 217. Is y(32) a multiple of 29? False Suppose 0 = -5*k - 2*j + 1080, -2*j - 107 - 109 = -k. Suppose 0 = w - 0*w + 4*s - 78, k = 3*w + 3*s. Does 10 divide w? True Suppose -g - 3*g - 384 = 0. Let m = g + 177. Suppose m = 8*v - 47. Does 16 divide v? True Let j = -142 + 220. Suppose 0 = -2*n + j + 78. Is n a multiple of 26? True Suppose -15*x = -5*g - 16*x + 1702, -4*x = -2*g + 694. Does 31 divide g? True Suppose -53 = -2*g - v, -101*v + 43 = 2*g - 102*v. Is 5 a factor of g? False Let u(i) = -2*i**2 + 44*i + 4. Let a be u(22). Suppose -a*w + 26 = -130. Is w a multiple of 15? False Suppose 6*v + 155 - 779 = 0. Does 8 divide v? True Suppose 17 = u + 4*x, -2*u - 3*x + 25 = 6. Suppose -2*s - u*v + 120 = 0, 4*s = s + v + 180. Does 9 divide s? False Suppose -4*p + h = -55, -h - 9 - 18 = -2*p. Suppose -4*v + c = -c - p, -5*v + c = -25. Let t(z) = 2*z**3 - 9*z**2 + 9. Does 36 divide t(v)? False Let p = 102 + -99. Let j(f) = f**2 + 4*f - 1. Let k be j(-5). Does 26 divide k*p/((-9)/(-33))? False Let c(g) = g**2 + 3*g + 5. Let y be c(-5). Let h be (-6)/y + (-85)/(-25). Is 17 a factor of (7 - 4)*46/h? False Let f(g) = 15*g**2 + 19*g + 62. Does 85 divide f(-6)? False Let v(q) = 412*q - 65. Does 23 divide v(2)? True Is 32 a factor of (23 - 0)*(-2 + 5 - -3)? False Let x = -23 - -23. Suppose x = -5*h + h + 856. Does 45 divide h? False Suppose -8 = 7*f - 232. Is f a multiple of 3? False Suppose 0 = 16*u - 22*u + 2340. Is 10 a factor of u? True Let o(x) = 3*x**3 + x**2 - 1. Let w be o(-1). Let k be (-2)/(-1) + -5 - w. Suppose t - 6 = -k*t. Is 4 a factor of t? False Let z = 10 + -7. Let p be ((-4)/3)/((-2)/z). Suppose -7 = -m + b, 0 = m - 6*b + p*b - 1. Is m a multiple of 4? False Let n(w) = 3 + w + 9 - 1. Let t be n(-5). Does 16 divide t/9*(-150)/(-4)? False Suppose -3*n + 26 = c - 125, 3*n = 5*c + 127. Let l = 53 - n. Does 4 divide l? True Let b = 59 - -103. Suppose -4*k + b = -k. Is k a multiple of 11? False Let y(h) = h**2 + 15*h - 242. Is y(-29) even? True Let j be 0 - (4 + (-21)/3). Suppose -i - 3 = -48. Suppose -4*f + 0 = -12, 4*k + j*f - i = 0. Does 3 divide k? True Let s(p) = -23*p - 2. Let n be (-2)/(-4) + 5/2. Let h be s(n). Does 20 divide (1 - h)*(-8)/(-12)? False Suppose 1492 = 2*x - 2*s, -4*x - 7*s = -5*s - 2972. Is 12 a factor of x? True Suppose -5*r + 139 = 2*j - 1173, 0 = 3*r - 4*j - 808. Suppose -m - 2*b = -0*b - 2, 0 = 4*m - b - 35. Suppose 5*y - m*y = -r. Does 22 divide y? True Suppose -2*r + 204 = 2*r. Let z = 4 + r. Suppose -4*g + z = -69. Is 13 a factor of g? False Let i = 506 - -708. Suppose -4*t = -r - i, -32 = -5*t - 3*r + 1494. Does 38 divide t? True Let j be 9/(-6)*(-8)/6. Suppose 0 = j*z - 5*g - 14, 6 = -z - 2*g - 5. Does 11 divide z - -2 - -5 - -40? True Suppose -y - 4 = -7. Suppose -3*w + 0*w = -y. Suppose 0 = 3*c + a + w - 133, -4*c = 3*a - 171. Is c a multiple of 33? False Let i(r) = r**3 - 17*r + 2. Let l be i(6). Let g = -78 + l. Does 19 divide g? True Let c = 28 - 16. Suppose -5*g - y = -c - 11, -3*g + 2*y = -6. Suppose g*s + 74 = -4*v + 6*v, 2*v - 54 = -s. Does 29 divide v? True Suppose -3*r - 4*l = -4*r + 61, 3*l - 301 = -4*r. Suppose 2*k - 223 + r = 0. Does 25 divide k? True Suppose -3*w + 38 = 5*i, w - 52 = -2*w + 2*i. Suppose 2*h + 1288 = w*h. Does 23 divide h? True Suppose 12106 - 36306 = -22*g. Is g a multiple of 25? True Suppose -22*o = -4280 - 11208. Does 28 divide o? False Let d(s) = s**3 + 9*s**2 - 5*s - 23. Suppose 2*c - 4*f = -0*f - 36, -4 = 2*c + 4*f. Let q be d(c). Let p = q - -137. Is p a multiple of 16? True Suppose 0 = -7*f + 11*f - 732. Does 6 divide f? False Let a(k) = 1 + 9 + k + 15 - 2. Is 5 a factor of a(-11)? False Is 63 a factor of (0 - 1811)/(12 - 350/28)? False Let n = -11 - -14. Suppose -2*f + n + 25 = 0. Is f a multiple of 3? False Let l(r) = -r**2 - 33*r + 46. Is 50 a factor of l(-32)? False Suppose -w + 4*t = 3*w, -t - 20 = -5*w. Let v = -80 + 113. Suppose w*i = 27 + v. Does 4 divide i? True Let m be (-3)/7 + (-528)/(-56). Let i = 12 - m. Is (i - -3)*13/3 a multiple of 22? False Suppose
{ "pile_set_name": "DM Mathematics" }
-46.1+8012 7965.9 188.2 - 2 186.2 Calculate -5 - 20.4129. -25.4129 Put together -2.02 and 2. -0.02 0.3+393 393.3 Calculate -146.2 - -0.2. -146 -92.01 + -0.3 -92.31 What is the distance between 9 and 24.5224? 15.5224 What is -7.16 take away -641? 633.84 Add -4 and 2351806. 2351802 Calculate 33.6 - -191. 224.6 What is 292.8 take away -0.2? 293 Add together 19 and -0.05415. 18.94585 What is the difference between 4 and 2082.62? 2078.62 Add together -11 and 2280. 2269 Put together 844735 and 3. 844738 Add -2 and 3.12. 1.12 Total of 6522 and 82. 6604 What is -8967 less than 0.02? 8967.02 -2 + -1634 -1636 -5 + -2388 -2393 What is -2.112 less than 784? 786.112 2542 - 2.5 2539.5 Sum -0.202 and -956. -956.202 Subtract -3.426 from -0.07. 3.356 What is -82.48 - -6? -76.48 What is -36.21 take away -42.1? 5.89 Work out 0.23 + -49. -48.77 -5 - -3628 3623 2.498674 - -2 4.498674 Calculate 6 - -902. 908 What is the difference between 3 and 293.9? 290.9 Put together -0.24 and -156300. -156300.24 Calculate -1.1372 + 0.25. -0.8872 1.52 - 13.642 -12.122 What is 4 - 978406? -978402 Add -21834 and 0.21. -21833.79 Subtract 2.312 from 12. 9.688 Subtract 43 from -98.7. -141.7 Work out -0.1 - -0.559902. 0.459902 5 - 0.0284 4.9716 What is 0 minus -61646? 61646 413 + 4 417 -4535+-0.3 -4535.3 What is 141 less than 40286? 40145 Calculate 6988.3 - 0.1. 6988.2 Calculate 0.11 + 8.7. 8.81 What is 0.59 less than -0.419? -1.009 What is -96787 - 17? -96804 46525+-5.6 46519.4 Add -2.2 and 505. 502.8 What is 7 - 41280? -41273 What is 1.05 plus -0.645? 0.405 Calculate 1727 + 2.2. 1729.2 Subtract 439 from 4. -435 What is -567 plus 3443? 2876 What is 20.338 take away -601? 621.338 Sum -2.4 and 0.13. -2.27 Subtract -0.3 from 3.902757. 4.202757 What is 0.4 - 296.4994? -296.0994 Calculate -1753 + -4. -1757 What is -0.319 - 36? -36.319 Total of -716 and -0.5. -716.5 What is -0.24 - 2390.27? -2390.51 Work out 0.05 - 386. -385.95 Calculate 0.3 + -498. -497.7 Calculate -1.066 - 0.3. -1.366 -2 + 7.307 5.307 Put together 0.055358 and 0.5. 0.555358 Calculate -546.5427 - 2. -548.5427 What is -0.4739 take away 0.2? -0.6739 What is -5 - -207236? 207231 38+0.078185 38.078185 Put together 53 and 0. 53 Sum -5 and -0.311. -5.311 What is 12 plus 1404? 1416 Add 771 and 5.91. 776.91 What is the difference between 3264 and 0.3? 3263.7 Work out 3155 - -923. 4078 Sum -4 and 3290.909. 3286.909 What is 3.194 take away 38? -34.806 Calculate -3 - -0.2342. -2.7658 What is 278 minus 0.4? 277.6 What is -371.9 + -0.143? -372.043 What is the distance between -5 and 14731? 14736 Work out -3.017 - 10.9. -13.917 -202065 - -0.6 -202064.4 Subtract 1.969 from -0.286. -2.255 Subtract -2 from 3265.7. 3267.7 1069+4 1073 What is 0.3 + 0.0537? 0.3537 What is 3 take away 548.4? -545.4 Add together 14 and 9276. 9290 What is -0.03409 - 1? -1.03409 Total of -0.94 and -98. -98.94 Add together -2.6 and -109359. -109361.6 What is the difference between -41 and -316? 275 -252 + 5.7 -246.3 Subtract 1.5 from 185. 183.5 Put together 0.2611 and 6. 6.2611 What is the distance between -0.06 and -16.5? 16.44 Total of 8.041 and -0.03. 8.011 Add together 0 and -0.1262. -0.1262 Add 0.179 and 2.27. 2.449 Put together -1315 and -0.3. -1315.3 What is the difference between 7500408 and -4? 7500412 -4.85 - 0.02 -4.87 Sum 445 and -45. 400 What is 339061 - 1? 339060 What is 1.6 + -0.1088? 1.4912 Sum 3 and -49066.2. -49063.2 What is the distance between 633 and 165? 468 Total of 1440056 and -2. 1440054 0.4+-429.772 -429.372 What is -0.3 - 3596? -3596.3 What is the distance between 1 and 7956? 7955 Calculate 4.499005 + -0.3. 4.199005 What is the distance between -20 and 12.934? 32.934 Subtract -0.5 from 12.4219. 12.9219 Calculate -1.49121 - 10. -11.49121 What is -1.24 take away -19? 17.76 Work out 0.02 - -0.00258. 0.02258 Add 2117 and 1. 2118 What is 2 less than -816788? -816790 What is 0.1 minus -163.38? 163.48 Calculate -1.4 - -0.141. -1.259 Work out 4.073 + 0. 4.073 What is 0.4365 plus 24? 24.4365 Work out -1075110 - -0.5. -1075109.5 What is -2 minus -0.665? -1.335 0.1+6844 6844.1 1.37 + -0.03 1.34 -1.3+5.137 3.837 Add together 4 and 9.546. 13.546 What is the distance between 3 and -201582? 201585 Work out -20744 - 0.08. -20744.08 What is 19602 less than -13? -19615 What is -32.135 minus -4? -28.135 -30 - 15 -45 Put together 300152 and 0.5. 300152.5 Total of -9.22686 and -6. -15.22686 5+23488 23493 What is -25840 + -3? -25843 8834 - -0.04 8834.04 What is -52 + 2339? 2287 Sum 3 and -0.0377. 2.9623 Total of 15.84606 and 1. 16.84606 346 - -0.5 346.5 Work out -8.939 - 25. -33.939 Put together 1984.31 and 0.04. 1984.35 -3 - 273216 -273219 2+-987 -985 What is 303176 less than -5? -303181 Total of -10579 and 732. -9847 Subtract 5 from -0.1667. -5.1667 Total of -973 and -34. -1007 Put together 2777 and 0.06. 2777.06 Sum -2 and 1675. 1673 Sum 59.9793 and 0. 59.9793 Calculate -0.2 + -880. -880.2 Add -14107 and 0.1. -14106.9 What is the difference between 0.2 and 0.1489542? 0.0510458 What is -0.41 + -0.115? -0.525 Total of -0.15 and 159. 158.85 Calculate -11 - 0.098. -11.098 What is -9 less than 950.62? 959.62 Total of -23717 and -12.7. -23729.7 What is the difference between 2 and -2368.62? 2370.62 Add together -0.1033 and 58. 57.8967 Work out -0.3 + 0.87908. 0.57908 1656+-27 1629 Subtract -0.0907 from 5. 5.0907 What is -0.1 plus -486968? -486968.1 Add -1085 and 48. -1037 -8+261104 261096 What is -1 plus 1401? 1400 Add -5 and -3156. -3161 Work out 65177 + 0.55. 65177.55 What is -14210 - 1.3? -14211.3 Add together -2 and -15.8443. -17.8443 What is -648 - 0.6207? -648.6207 Work out -89 + 25. -64 0.009 - 616 -615.991 0.5 + 99 99.5 Total of -0.077 and 13. 12.923 Add together -37 and 4864. 4827 Put together 0.009 and 155. 155.009 Work out 1573.2 - 89. 1484.2 What is -55371 plus 0.05? -55370.95 Put together -4.6 and -6975. -6979.6 Add 2 and -23601. -23599 Subtract 0 from 0.00457. 0.00457 Add together 12.809 and -4. 8.809 What is -21.2 minus -0.133? -21.067 Total of -0.2 and 542. 541.8 -3.739+473 469.261 Add 0 and 11980. 11980 Sum -22017.44 and 0.3. -22017.14 1.2+7.3 8.5 Work out -0.2 - -0.942. 0.742 Total of -0.1 and 8.361. 8.261 8.042+-3 5.042 Work out 0.1 + -199725. -199724.9 Add 118.6 and -29. 89.6 0.3 + -476 -475.7 What is -142.26 minus 4? -146.26 What is -142 minus 28.66? -170.66 Total of 272 and -0.307. 271.693 Add together 1.9 and -1459. -1457.1 1.6 - 205976 -205974.4 Calculate -1 + 0.0764. -0.9236 What is the distance between 0.1 and -0.0375? 0.1375 -746 + 727 -19 Calculate -1041 + 0.1. -1040.9 What is -5 take away 26941? -26946 Work out 271 + 1. 272 What is 32.5 + 0.1? 32.6 -5 + -41.13 -46.13 What is 0.4 - 612? -611.6 What is -0.90075 take away -0.04? -0.86075 Add 0.138 and -1371. -1370.862 What is 3 plus -3826? -3823 What is the difference between -1.9 and -1706? 1704.1 What is -0.3 - 37.9? -38.2 Work out -969 - -431.1. -537.9 What is -0.068 - -75? 74.932 -2+47295 47293 Total of 42 and 42. 84 -1.9 + 0.574 -1.326 Calculate 0.059 - -1029. 1029.059 Total of -0.44 and -6909. -6909.44 17350+-0.3 17349.7 What is 13.4 less than -1015? -1028.4 Add together -425 and 10. -415 What is 457 plus -0.15? 456.85 What is the distance between 11597 and -0.09? 11597.09 2.3 + -16 -13.7 Add -1515.97 and 0.1. -1515.87 What is 0 + -1993? -1993 Subtract -14.585 from 3. 17.585 What is the distance between -0.435 and -242? 241.565 What is the difference between -1 and -0.67464? 0.32536 What is 14 take away 17? -3 Work out 1.05 - -5.1. 6.15 Subtract -0.02 from 0.469. 0.489 Add together -1 and -977. -978 What is the difference between -5 and -0.4? 4.6 Subtract 2825 from -14.85. -2839.85 Work out 4 + 44407. 44411 What is 872 plus 5? 877 What is -209020 take away 0.6? -209020.6 Add together 5 and -4.966. 0.034 Work out 2053 + 1. 2054 -0.51 + -0.539 -1.049 What is -0.5 take away -0.001382? -0.498618 What is 0.3 less than -137.1? -137.4 Put together 0.048 and 10685. 10685.048 What is -0.2309 + 0.082? -0.1489 Calculate -3 - 2.5582. -5.5582 Add -0.3 and -10.79. -11.09 Total of -7 and 365. 358 Total of -122776 and 0.33. -122775.67 -4744334 + -0.1 -4744334.1 Total of -0.1 and -478. -478.1 What is -290 take away -42? -248 -455+0.35 -454.65 Total of -0.5238 and -0.23. -0.7538 Work out 8147
{ "pile_set_name": "DM Mathematics" }
r*i - s - 17, -2 = -3*s - 8. Let v(x) = -x**3 + 11*x**2 - x + 15. Let d be v(11). Solve 2*g - g = -i*a - 19, g = -d for a. -3 Suppose -17 + 2 = -15*c. Let o(n) = 4*n**3 - 7*n + 6. Let l be o(c). Solve -l*t - 12 = 3*r, 0 = -r - 1 for t. -3 Let n be 20 + 0 - 2*(-15)/(-10). Suppose 15 = 22*p - n*p. Suppose c + 17 = p*v + v, v + 3*c + 12 = 0. Solve 2*f = 4*o + 21 + 3, v*f - 1 = -o for f. 2 Let b(o) = 2*o - 3. Let w = -6 - -10. Let d be 38/8 - 3/w. Let s be b(d). Solve 0 = -5*r - x - 10, -r - 2 = -x + s*x for r. -2 Let t = 4496 - 4493. Solve -4 = -t*a - 5*k + 5, -4*k + 12 = 0 for a. -2 Suppose 3*s - 9 = 0, 0*t + 5*t - s + 3 = 0. Suppose t = -2*o - 5*g - 15, -20*g + 5 = 2*o - 19*g. Solve -2*m - 12 - 4 = -5*p, -o = m - p for m. -3 Let w be (-21)/(-7) + -9 + 23. Solve 3*h - 5*h - 19 = -3*n, -w = h - 3*n for h. -2 Let g(i) = i**3 + 4*i**2 - 2*i - 7. Let n be g(-3). Suppose -8 - 10 = -2*r - 4*c, 2*r - c = n. Solve r*l = 2*s + 3 + 7, -4 = -2*s - 2*l for s. 0 Let d(r) be the third derivative of r**5/30 + 3*r**4/4 + 13*r**3/2 + 77*r**2. Let p be d(-6). Solve 3*k = -h - 13, 4*k + 10 + 4 = -p*h for k. -5 Let t = -8051 - -8054. Solve 8*r = 6*r + t*c - 9, -3*r = 4*c - 12 for r. 0 Let f = -1783 + 1788. Solve -15 = -f*s, 3*s + 6 = 3*j + 2*j for j. 3 Let d(r) = 37*r - 66. Let f be d(4). Let z = f + -77. Solve -z*m = -5*l - 30, 2*m + 15 = 6*m + 5*l for m. 5 Suppose 4*r + 17 = -g, 6*r + 5*g = 8*r + 25. Let u be 3/(-3)*-5 + (r - -2). Solve 28 = 4*q - 5*j, 3*q = -u*j + 7*j + 26 for q. 2 Let z(w) = -177*w + 6376. Let u be z(36). Solve -3*l + 21 = -2*p, -u*p - 3 = -3*p for l. 5 Let p be (-4)/18 + 1755/243. Let g be 2/(-4) - (300/(-24) + p). Solve -4 = u + g*a, -3*u = 2*a + 2*a + 12 for u. -4 Let k = -68 + 36. Let j be (-1 - 0)/((k/116)/8). Solve -5*l - j = -3*g, -5*l - 5*g - 6 = -1 for l. -4 Suppose -4*y - 5*u + 37 = 0, -144 + 131 = 4*y - 5*u. Solve 5*b - y = 17, 4*l = 4*b - 16 for l. 0 Let t(p) = 4*p + 8 - 14 + 11 + 22. Let k be t(-6). Solve -y - 1 = -k*d, -5*y + 2*d - 22 = 4*d for y. -4 Let u be (0*11/(-154))/(-3). Solve -2*z - 5*a - 23 = -z, -2*z - 5*a - 26 = u for z. -3 Suppose 0 = 27780*l - 27764*l - 80. Solve -15 = d - l*i, d + 9*i - 5*i = 12 for d. 0 Let p(w) = 59 + 31 - 3*w - 14*w. Let n be p(5). Solve -d - n*a + 17 = 2*d, -5*d - 3*a = -23 for d. 4 Let w(i) = -i - 39. Let q be w(-41). Solve -4*n = -5*p + 35, -2*n + 0*n = q*p + 4 for n. -5 Suppose 2*n - 4*t = 6*n - 24, -27 = -2*n + t. Let h be 6/4*(n - 105). Let m = h + 146. Solve -3*w - 4 = -5*w - m*z, z = 0 for w. 2 Suppose g = -12*q + 19*q + 31, 3*g + 3*q = -3. Solve 17 = -g*f - 2*n, 7 = -f - n - 0 for f. -3 Suppose 0 = 3*m + 5 + 145. Let h = 56 + m. Suppose 5*n - 15 = -5*b, -3*n + 2*b = -28 - h. Solve p - 4*d + n = 0, 3*p = -p + 2*d - 4 for p. 0 Let t = 33 - 33. Suppose 2*w - 16 = -t*w. Suppose -2*o - w = -8. Solve 3*k - i - i + 18 = o, 3*k + 3*i = -3 for k. -4 Let r = -8727 - -8748. Solve 0 = t - 5, r = 2*g - 8*t + 11*t for g. 3 Let f = 5295 + -5285. Solve b = 3*u - f, 2*b - 4*u + 8*u = 0 for b. -4 Suppose -3*x + 2*x = -5*l - 10, -11 = -2*x + l. Suppose -5*z - 4*y = -4 - 12, -x = 5*y. Solve -z*c + 28 = -5*b + 5, 3*b + 11 = c for b. -3 Let u(q) = q**2 - 7*q - 4. Let r be u(8). Suppose 2*g - 28 = 6*n - n, 0 = -g + r*n + 20. Solve 23 = y + 4*x, -g*y + 2*x = 4*x - 22 for y. 3 Let j(k) = -k**3 - 8*k**2 + 4*k - 3. Let o be j(-3). Let w = 62 + o. Let d(n) = -3*n + 1. Let m be d(-5). Solve w*f + 2*f - 4 = 4*g, -f + m = 4*g for g. 3 Let h(q) = -83*q - 291. Let b be h(-6). Suppose b = -8*s + 279. Solve -4 = -4*u, -c + u = -3 + s for c. -5 Let p be (-806)/(-155) - (-2)/(-10). Suppose 2 = -p*w - 5*d + 7, 3 = 2*w + d. Solve -4 = 2*k, 7*a + 2*k = w*a + 16 for a. 4 Let b(k) = 2*k - 19. Let q be b(11). Suppose 7*y - 3*y - 24 = -l, 0 = -q*y + 15. Suppose -12 = -l*v - 0. Solve n - 28 = -3*n - v*f, -5*f = 4*n - 36 for n. 4 Let t = 30 + -27. Suppose 4 = 3*l - t*w - 2, -4 = -w. Solve 0*i + l = 3*c + 3*i, -2*i = 4*c - 2 for c. -1 Let s = -288 - -276. Let x(l) = 10 - l**2 - 2 + 12*l + 2*l**2. Let y be x(s). Solve 5*v = -4*c - 5, 3*v - y - 11 = 2*c for c. -5 Suppose 2*l - 18*l = -160. Let r(a) = 2*a**3 + 3*a**2 + 8. Let i be r(-4). Let t be ((-6)/i*8)/((-2)/(-6)). Solve t*x + l = -2*h, x + h + 10 = -x for x. -5 Let c = 820 + -820. Solve -3*d + 5*o - 18 = -37, 2*o + 4 = c for d. 3 Suppose 0 = -3*y - 18 - 150. Let h be (-6)/39 + y/(-26). Let s be (80/(-24))/(17/102*-4). Solve 4*c = c - h*a - 5, s*a - 15 = -2*c for c. -5 Let b = 131 - 76. Let v = -50 + b. Suppose 5*q = -4*c + 179, 0 = -q - 4*c + 10 + 29. Solve 5*l + 5*m + q = -0*l, v*m + 20 = 0 for l. -3 Let g = -350 + 364. Suppose g*o - 13 = 169. Solve -5*f - 4*q = o, -3*f - 4*q + 1 = 4 for f. -5 Let r = -106 + 72. Let g(n) = -2*n - 67. Let w be g(r). Solve -q + 2*q + 2 = -m, -2*q - w = 3*m for m. 3 Let g(k) = -k**3 - 14*k**2 - k - 10. Let x be g(-14). Solve -l - j - 1 = 0, -x*j = 18*l - 22*l - 20 for l. -3 Let b(c) = 5*c + 108. Let x be b(-20). Let m be ((-4)/1 + 4)/(0 - -2). Suppose 4*n - 8 = -m*n. Solve 0 = n*u - v - x, 0*u - v = 4*u - 22 for u. 5 Suppose -2*k - m + 34 = -43, 118 = 3*k - m. Suppose k - 7 = 8*g. Solve -h = j - g*j + 4, 4*h + j - 23 = 0 for h. 5 Suppose 12 = o + 2*o. Suppose -685*h = -681*h + 672. Let i be 12/(-28) - h/49. Solve -y + 10 = 4*p, i*p - o*p + 2*y + 7 = 0 for p. 3 Suppose 3984*g = 3936*g. Solve g = -3*n - 2*z + 5, 9*n - 5*z + 38 = 8*n for n. -3 Let z be ((-66)/14)/(-1) + 62/217. Suppose a + z - 7 = o, -a = -2*o - 1. Solve q - 3*d + 3 = -2*d, 9 = -3*q - a*d for q. -3 Let k(j) = 366*j - 2928. Let s be k(8). Solve 3*l + 15 = -2*m - 3*m, s = 2*l + 3*m + 9 for l. 0 Suppose -15 + 3 = -2*l. Suppose 12*d - 232 = 8*d. Suppose -d = -18*b - 22. Solve 0 = 2*w, -l*r = -b*r + 5*w - 20 for r. 5 Let d = 9 - 13. Let p be 3/6*-1 + (-2)/d. Solve p = -3*m + 15, 0*o + 3*o = -2*m - 2 for o. -4 Let d(w) = -2*w - 8. Let g be d(-6). Let u be (2 - -2) + -10 + 21. Suppose -18 = r - g*l - 0*l, 5*r = 5*l - u. Solve r = -2*i - t, -5*i + t - 1 = -3 for i. 0 Let d(c) = c**2 + 22*c + 61. Let r be d(-3). Suppose 3*x = 3*b + 6, 5*b - r = -5*x + 3*x. Solve 0 = -0*j - 5*j + 4*z - 29, b = -2*j - 2*z - 8 for j. -5 Let u = -38 + 43. Suppose 11*h + 595 = 694. Solve 14 = 2*b - 2*z, z + 28 = u*b + h for b. 3 Suppose 0 = 4*t + t - 10. Suppose -p + 18 = t*p. Suppose 9*v = -3*u + 7*v + 43, -u + 4*v - 9 = 0. Solve -u - 1 = 3*w + h, -h - p = w for w. -3 Let u(l) = -6*l**3 + 14*l + 10. Let w be u(-4). Let z = 341 - w. Solve -2*o - z*n + 1 = -2*n, -5*o - 5 = n for o. -2 Suppose 0 = 42*v - 48*v. Solve -5 = -3*r + 4*i, r - 2*i + 21 - 22 = v for r. 3 Suppose -18*i + 43*i + 2825 = 0. Let y = -104 - i. Solve -7*v + y*v + 9 = 3*p, 0 = p - 3 for v. 0 Suppose 0 = -1620*s + 1645*s - 500. Suppose 5*i - 3*d - 106 = 0, -i + 3*d = 2*i - 66. Solve 5*w - 3*j = i, 2*j - s = -5*w + j for w. 4 Let u = 2091 - 2085. Solve -9 - 1 = -5*x - 4*a, 3*x - u = -3*a for x. 2 Let m(b) = b**3 + 27*b**2 - 161*b - 28. Let r be m(-32). Solve -q + 3*v = 3 + 11, 3*v = -r*q - 11 for q. -5 Let n = 462 + -833. Let h = 373 + n. Solve -m + 4*d = -20, -m + h*m + 4*d + 12 = 0 for m. 4 Let i(y) be the third derivative of -y**5/60 + 7*y**4/24 - 5*y**3/6 - y**2. Let w = -75 + 80. Let s be i(w). Solve 0 = -5*g - 5*u + 15, 0 = s*u + 5 for g. 4 Suppose 0 = -8*t - 88*t + 14*t + 328. Solve -2*l + i - t = 0, -45*l - 4*i = -40*l + 36 for l. -4 Let s = 0 + 3. Suppose -178*m = -262*m + 336. Solve 3*t + m = v, 0 = -s*v - 0*t - 4*t - 27 for v. -5 Let b be (14 - (1 - -1))/((-1221)/(-1221)). Let n be 5/15 + 5/3. Solve k - 10 = 2*j + j, -2*j = n*k + b for j. -4 Let o(h) = -412*h + 4127. Let d be o(10). Solve -35*c + 31*c - l + 1 = 0, -3*c + d = 2*l for c. -1 Let r = -746 - -764. Suppose -r*y = 4*y. Solve y = 4*q, 0 = -i - 3*q - 3 + 5 for i. 2 Let r(v) = v**3 - 4 + 0 + v + 8*v**2 + 5*v. Let b be r(-7). Let o be 135/36 + (-2)/(-8). Solve 0 = b*z - 0*z - o*f + 4, -f = -z - 1 for z. 0 Let j(q) = 4*q - 120. Let t be j(52). Let h be 12/(-54) + t/72. Solve 0*x = -x + c - h, -4*c = -5*x - 4 for x. 0 Suppose -4*u + 6*f = 12, -2*f + 23 = 11. Solve k + u*a + 14 = 0, 3*a - 21 = 5*k - 50 for k. 4 Let y = 6 + -2. Suppose -4*p = -l + 38, -y*l + 6*l - p - 104 = 0. Suppose -74 + l = -q. Solve -5*u + q = -j, 3*u + j + 0*j - 12 = 0 for u. 4 Let j be (-152)/114*(-3)/1. Suppos
{ "pile_set_name": "DM Mathematics" }
or of 115 and 1358173. 23 What is the highest common divisor of 2354 and 800788? 214 Calculate the greatest common factor of 171440 and 880. 80 What is the greatest common divisor of 376179 and 74? 37 Calculate the greatest common divisor of 2532 and 598396. 844 Calculate the highest common factor of 4060 and 550. 10 What is the greatest common factor of 24 and 110868? 12 What is the highest common factor of 157718 and 642? 214 Calculate the highest common factor of 390799 and 445. 89 Calculate the greatest common divisor of 8 and 32764. 4 Calculate the highest common factor of 35 and 126860. 5 What is the highest common factor of 216755 and 280? 35 Calculate the greatest common factor of 648 and 27576. 72 What is the highest common divisor of 25560 and 3600? 360 What is the highest common divisor of 272 and 2248? 8 What is the greatest common divisor of 70 and 28945? 35 What is the greatest common divisor of 65322 and 2793? 57 Calculate the highest common factor of 20768 and 544. 32 Calculate the greatest common factor of 19170 and 77106. 426 Calculate the greatest common factor of 1221 and 550264. 407 What is the greatest common divisor of 21 and 131397? 21 What is the greatest common divisor of 726 and 11770638? 726 Calculate the highest common factor of 14381 and 788. 197 Calculate the highest common factor of 1744 and 64637. 109 What is the greatest common divisor of 3070 and 90? 10 Calculate the greatest common factor of 31490 and 10854. 134 What is the highest common divisor of 167475 and 16965? 435 What is the highest common factor of 176 and 1166? 22 What is the greatest common divisor of 14256 and 163458? 162 What is the highest common factor of 13 and 6306313? 13 What is the greatest common divisor of 36177 and 186? 93 Calculate the greatest common factor of 1556 and 5832. 4 Calculate the highest common divisor of 15953 and 931. 7 What is the greatest common factor of 7332 and 4563? 39 Calculate the highest common divisor of 457659 and 108. 9 Calculate the greatest common divisor of 135 and 295. 5 What is the greatest common divisor of 232484 and 133? 133 What is the greatest common factor of 275380 and 112? 28 Calculate the greatest common divisor of 5730 and 8786. 382 Calculate the highest common divisor of 4935 and 405. 15 What is the greatest common divisor of 834838 and 6? 2 What is the greatest common divisor of 6783 and 252042? 357 Calculate the highest common divisor of 63 and 14409. 9 Calculate the highest common factor of 39329 and 2479. 67 Calculate the greatest common factor of 3745 and 14. 7 What is the highest common factor of 565028 and 12? 4 What is the greatest common divisor of 33627 and 1683? 33 Calculate the highest common factor of 9693 and 66774. 1077 What is the greatest common factor of 36152 and 128? 8 Calculate the highest common divisor of 1180 and 2380. 20 Calculate the highest common factor of 77 and 220. 11 Calculate the greatest common factor of 1257536 and 196. 196 What is the greatest common divisor of 5420 and 11660? 20 Calculate the highest common factor of 399 and 12711. 57 What is the greatest common divisor of 18117 and 103653? 297 Calculate the highest common factor of 15 and 212970. 15 What is the highest common divisor of 300656 and 1311? 437 What is the greatest common factor of 25 and 3200? 25 What is the highest common factor of 3756 and 60? 12 What is the highest common divisor of 67640 and 76? 76 What is the greatest common divisor of 143 and 20834? 11 Calculate the highest common divisor of 140186 and 232. 58 Calculate the highest common divisor of 1494 and 5146. 166 Calculate the greatest common factor of 1248 and 29536. 416 What is the greatest common factor of 1191 and 3561884? 397 What is the greatest common divisor of 738 and 24? 6 Calculate the greatest common divisor of 157461 and 1314. 219 What is the highest common factor of 17 and 51527? 17 What is the greatest common factor of 415 and 10? 5 Calculate the greatest common factor of 250 and 71950. 50 Calculate the highest common divisor of 59686 and 8162. 22 Calculate the highest common divisor of 305879 and 3543. 1181 What is the greatest common factor of 141 and 682393? 47 Calculate the highest common divisor of 42050 and 100. 50 What is the highest common divisor of 5 and 538930? 5 What is the greatest common divisor of 16263 and 1287? 117 What is the greatest common divisor of 1767 and 465? 93 Calculate the highest common divisor of 1875 and 65550. 75 What is the greatest common factor of 7092678 and 148? 74 Calculate the highest common divisor of 6273 and 1599. 123 Calculate the highest common divisor of 125442 and 51. 3 What is the highest common divisor of 285662 and 702? 26 What is the greatest common divisor of 7196630 and 114? 38 Calculate the greatest common factor of 2355 and 878886. 471 Calculate the highest common factor of 52 and 838162. 26 Calculate the greatest common divisor of 858 and 387222. 66 What is the highest common divisor of 1615 and 16625? 95 Calculate the greatest common factor of 418 and 109022. 38 What is the highest common divisor of 242721 and 99? 9 What is the highest common divisor of 143 and 15983? 11 Calculate the greatest common factor of 492088 and 8. 8 What is the greatest common factor of 1026 and 10421082? 1026 Calculate the highest common divisor of 29 and 63626. 29 What is the greatest common factor of 1289550 and 300? 150 What is the highest common divisor of 25 and 182485? 5 What is the greatest common factor of 117 and 795600? 117 Calculate the highest common divisor of 364 and 4771. 13 What is the greatest common divisor of 351 and 5219487? 117 Calculate the highest common divisor of 42120 and 2132. 52 Calculate the greatest common divisor of 91 and 14963. 13 What is the highest common divisor of 20 and 23610? 10 Calculate the greatest common divisor of 1632880 and 240. 80 What is the greatest common divisor of 32486 and 11? 1 What is the greatest common divisor of 602496 and 171? 9 What is the highest common factor of 4598 and 656678? 418 What is the highest common factor of 82155 and 15? 15 Calculate the highest common factor of 37808 and 51. 17 What is the highest common factor of 91 and 1335698? 91 What is the greatest common divisor of 197464 and 16? 8 What is the highest common factor of 5296 and 17874? 662 What is the greatest common factor of 11100 and 14100? 300 Calculate the greatest common factor of 207 and 407376. 207 Calculate the highest common divisor of 12840721 and 241. 241 Calculate the greatest common factor of 10 and 171890. 10 What is the highest common divisor of 1079547 and 84? 21 What is the greatest common factor of 22382 and 51262? 722 What is the highest common divisor of 85 and 1350? 5 Calculate the highest common divisor of 21 and 117846. 3 Calculate the highest common factor of 1265328 and 5568. 1392 Calculate the greatest common divisor of 220 and 42295. 55 What is the highest common divisor of 13743 and 108? 27 What is the highest common factor of 87 and 149118? 87 Calculate the highest common factor of 65284 and 228. 76 Calculate the greatest common divisor of 115143 and 42. 21 Calculate the greatest common factor of 4498 and 7958. 346 Calculate the highest common divisor of 250 and 6. 2 What is the greatest common factor of 384 and 4008? 24 What is the highest common factor of 1925739 and 333? 333 Calculate the highest common divisor of 496 and 118420. 124 Calculate the highest common divisor of 12700 and 375412. 508 What is the greatest common factor of 405 and 133299? 27 Calculate the highest common divisor of 33453 and 15281. 413 What is the highest common divisor of 3776 and 16697? 59 Calculate the greatest common divisor of 201236 and 28. 28 Calculate the greatest common factor of 47329 and 517. 47 What is the highest common factor of 76 and 62016? 76 Calculate the greatest common divisor of 76 and 414200. 76 Calculate the highest common divisor of 44 and 10137974. 22 Calculate the highest common divisor of 668100 and 393. 393 Calculate the highest common divisor of 741605 and 83. 83 Calculate the greatest common divisor of 15 and 1850070. 15 Calculate the greatest common divisor of 351 and 1674. 27 What is the highest common divisor of 7
{ "pile_set_name": "DM Mathematics" }
mposite? True Is 11357267 a prime number? False Is 13978687 prime? False Is 8428601 composite? False Is 45323827 a composite number? True Is 8428019 prime? False Is 2928529 composite? False Is 3618917 prime? False Is 38218049 a composite number? False Is 14640529 prime? True Is 296189155 composite? True Is 83850947 a composite number? True Is 15364651 composite? True Is 102607 a prime number? True Is 7553999 a prime number? False Is 58230043 prime? False Is 2379067 a prime number? True Is 7974709 a composite number? False Is 366738947 a prime number? False Is 20901817 a prime number? True Is 1038379061 a prime number? True Is 11118131 a prime number? False Is 90872527 composite? True Is 2742617 a prime number? False Is 404989693 prime? False Is 4997995 prime? False Is 103644193 prime? True Is 30630161 a prime number? True Is 29503583 composite? True Is 1577899 a composite number? True Is 48452051 composite? False Is 229853 a composite number? True Is 16635323 prime? True Is 28305889 a prime number? False Is 2556331 a prime number? True Is 186793961 a prime number? False Is 28248581 a composite number? True Is 101742187 prime? False Is 39890023 prime? False Is 669970351 composite? False Is 3945563 a composite number? True Is 129519917 prime? False Is 535429 prime? False Is 235540873 a composite number? False Is 122496583 prime? False Is 93011173 composite? False Is 247034335 composite? True Is 1548094667 prime? False Is 15774091 a composite number? False Is 5440615 a composite number? True Is 62226739 composite? False Is 102465203 composite? True Is 1095779 a composite number? False Is 49498841 prime? False Is 28044799 a prime number? False Is 689713 prime? True Is 213104813 prime? False Is 3942223 a prime number? False Is 1106401 composite? False Is 58100117 a composite number? False Is 43927901 a prime number? True Is 3914143 prime? True Is 59543 composite? True Is 1230107 a composite number? False Is 5769833 a prime number? True Is 207572017 a prime number? False Is 662737 prime? False Is 88146701 a prime number? True Is 112524259 composite? False Is 35053465 a composite number? True Is 2296351 a composite number? False Is 18527981 prime? False Is 510684221 a prime number? True Is 63178754 a prime number? False Is 9956771 a composite number? True Is 219577 a prime number? True Is 4016707 a composite number? True Is 7505297 composite? False Is 84630659 prime? False Is 39800081 prime? True Is 26585929 a composite number? False Is 31414363 a prime number? True Is 1879417 a composite number? True Is 8871637 prime? False Is 18838789 a prime number? True Is 1212389 a composite number? True Is 60935029 composite? False Is 15397073 prime? True Is 470770621 composite? True Is 19547057 composite? True Is 563219311 composite? False Is 15413383 prime? True Is 551171 prime? False Is 38651033 a composite number? False Is 6330023 a prime number? False Is 57842819 prime? True Is 17520821 a composite number? False Is 193999 composite? True Is 602854067 a prime number? True Is 7552961 prime? False Is 53382539 a composite number? True Is 1811207 a composite number? True Is 14209457 a prime number? False Is 75690607 composite? False Is 1469147 a composite number? False Is 24545735 composite? True Is 7573301 composite? True Is 66395477 a prime number? True Is 120224131 a prime number? True Is 971549 a prime number? True Is 1405669 prime? True Is 79708913 a composite number? False Is 4200457 composite? True Is 4482047 composite? False Is 278041 prime? True Is 63327073 a prime number? False Is 553607 composite? False Is 146798149 prime? False Is 77496233 composite? True Is 274770451 composite? False Is 6807217 a composite number? False Is 66816637 a composite number? True Is 698129 a prime number? False Is 7495342 prime? False Is 817958 composite? True Is 4417847 prime? False Is 30737398 a prime number? False Is 26872187 a composite number? False Is 320417 a composite number? False Is 28249061 a composite number? False Is 532517 composite? True Is 11986237 prime? True Is 10450681 a prime number? True Is 735985 composite? True Is 68195249 prime? False Is 873429 a composite number? True Is 223617139 a composite number? True Is 8928805 composite? True Is 506819 prime? False Is 32042357 prime? True Is 7452113 composite? True Is 7658419 composite? False Is 27967391 a composite number? False Is 7565303 a prime number? True Is 219922951 a composite number? False Is 739493 composite? False Is 12182501 a prime number? True Is 23615078 composite? True Is 1728247 composite? False Is 5636611 a prime number? False Is 87042583 a composite number? False Is 552571 composite? True Is 103105009 a composite number? True Is 162271 prime? False Is 230459413 composite? False Is 1330649 a prime number? True Is 4919227 composite? True Is 15402337 prime? True Is 19961633 a composite number? False Is 4045883 composite? False Is 24732119 a prime number? False Is 46226623 composite? False Is 59711069 composite? True Is 36170969 prime? True Is 8485753 a prime number? True Is 9261241 composite? True Is 75400889 a prime number? False Is 1774909 composite? False Is 102908353 a prime number? False Is 1598039 prime? True Is 113471551 a composite number? False Is 7912477 a prime number? True Is 3532351 composite? True Is 195724543 composite? True Is 24511109 a prime number? False Is 88768487 prime? True Is 182977853 composite? False Is 2073503 prime? False Is 55751297 composite? True Is 4734329 composite? False Is 67599671 a composite number? False Is 1674181 composite? False Is 251228597 composite? False Is 7279117 composite? False Is 505811 composite? False Is 8847437 prime? False Is 870613 a composite number? False Is 1381397 a composite number? False Is 3861547 a composite number? False Is 2203801 composite? False Is 5923955 composite? True Is 5776949 composite? False Is 5343313 a prime number? False Is 110490299 prime? True Is 42225413 composite? False Is 1536265 composite? True Is 234353 composite? True Is 18387917 a prime number? True Is 72109 prime? True Is 148316529 a prime number? False Is 3078087 prime? False Is 500172247 a prime number? True Is 305570099 prime? False Is 62292247 a composite number? True Is 16378451 prime? True Is 22608667 a prime number? False Is 7591061 a prime number? False Is 218797 prime? True Is 9551251 a composite number? False Is 11364971 a composite number? True Is 4644301 composite? True Is 11243509 a composite number? False Is 102429091 a composite number? False Is 2940631 a prime number? True Is 15964061 composite? False Is 2226171 prime? False Is 26684863 a composite number? False Is 62587223 a prime number? False Is 103057867 composite? True Is 125107853 prime? False Is 10551397 prime? True Is 2603639 a prime number? True Is 114606371 a prime number? False Is 2194133 prime? True Is 62361839 prime? True Is 10608747 composite? True Is 59106247 a composite number? False Is 7026577 a composite number? False Is 2674838 composite? True Is 12654337 composite? False Is 7578407 a composite number? False Is 310852931 a composite number? True Is 500609 composite? True Is 23237039 a prime number? False Is 15808211 a composite number? True Is 3184807 prime? True Is 29705899 prime? True Is 38252633 a composite number? False Is 3890371 a composite number? True Is 10881073 a composite number? True Is 7095233 a prime number? False Is 11199235 a composite number? True Is 16952354 prime? False Is 106604177 composite? True Is 113830023 composite? True Is 5350922 a composite number? True Is 10204183 a composite number? True Is 6150733 a composite number? False Is 10924541 a prime number? True Is 38023 prime? False Is 11040443 composite? True Is 274997999 a prime number? True Is 35619137 prime? True Is 84109037 a prime number? False Is 2432557 prime? True Is 2986329 prime? False Is 135490747 composite? True Is 48168943 composite? False Is 15044303 prime? False Is 406849 a prime number? False Is 123166633 a composite number? True Is 5190407 a composite number? True Is 20909067 prime? False Is 9925109 prime? True Is 13526059 a prime number? True Is 447677 composite? False Is 10357 a prime number? True Is 5228473 prime? True Is 8317069 composite? False Is 3885031 composite? Fa
{ "pile_set_name": "DM Mathematics" }
hat is the p'th term of 2001, 8058, 18159, 32310, 50517, 72786, 99123, 129534? p**3 + 2016*p**2 + 2*p - 18 What is the m'th term of 36, 243, 594, 1095, 1752, 2571, 3558, 4719? m**3 + 66*m**2 + 2*m - 33 What is the n'th term of 42, 163, 344, 567, 814, 1067, 1308, 1519? -3*n**3 + 48*n**2 - 2*n - 1 What is the i'th term of 69744, 139449, 209152, 278853? -i**2 + 69708*i + 37 What is the r'th term of 4033, 8065, 12095, 16123? -r**2 + 4035*r - 1 What is the g'th term of 368, 380, 398, 428, 476? g**3 - 3*g**2 + 14*g + 356 What is the k'th term of 16, 157, 436, 889, 1552, 2461? 6*k**3 + 33*k**2 - 23 What is the j'th term of -92555, -185105, -277655, -370205? -92550*j - 5 What is the s'th term of -921, -1897, -2931, -4023, -5173, -6381? -29*s**2 - 889*s - 3 What is the n'th term of -152, -568, -1246, -2186, -3388, -4852, -6578? -131*n**2 - 23*n + 2 What is the o'th term of 144, 575, 1230, 2055, 2996, 3999? -9*o**3 + 166*o**2 - 4*o - 9 What is the v'th term of -150, -216, -338, -528, -798, -1160, -1626, -2208? -2*v**3 - 16*v**2 - 4*v - 128 What is the y'th term of 52775, 105554, 158333, 211112, 263891, 316670? 52779*y - 4 What is the z'th term of 6074, 12169, 18262, 24353, 30442? -z**2 + 6098*z - 23 What is the d'th term of -218061, -436121, -654181? -218060*d - 1 What is the z'th term of -26, 69, 236, 481, 810, 1229, 1744? z**3 + 30*z**2 - 2*z - 55 What is the p'th term of -370, -531, -480, -211, 282, 1005, 1964, 3165? p**3 + 100*p**2 - 468*p - 3 What is the n'th term of 227, 373, 519, 665, 811, 957? 146*n + 81 What is the m'th term of 7458, 14945, 22454, 29997, 37586, 45233, 52950? 2*m**3 - m**2 + 7476*m - 19 What is the o'th term of -2335, -2284, -2209, -2110, -1987, -1840? 12*o**2 + 15*o - 2362 What is the w'th term of -40, -84, -128, -172, -216, -260? -44*w + 4 What is the p'th term of 2640, 5888, 9136, 12384, 15632? 3248*p - 608 What is the h'th term of -15, -10, 1, 18, 41? 3*h**2 - 4*h - 14 What is the v'th term of 263207, 263213, 263219, 263225, 263231? 6*v + 263201 What is the g'th term of -80, 322, 728, 1138, 1552? 2*g**2 + 396*g - 478 What is the y'th term of 1545, 6178, 13879, 24630, 38413, 55210? -3*y**3 + 1552*y**2 - 2*y - 2 What is the s'th term of 84, 16, -52, -120, -188, -256? -68*s + 152 What is the u'th term of 502304, 502299, 502294, 502289, 502284, 502279? -5*u + 502309 What is the g'th term of 1673849, 3347699, 5021547, 6695393, 8369237, 10043079? -g**2 + 1673853*g - 3 What is the u'th term of 30102, 30101, 30100, 30099, 30098? -u + 30103 What is the n'th term of 82, 139, 198, 259, 322? n**2 + 54*n + 27 What is the q'th term of 123, 193, 313, 483? 25*q**2 - 5*q + 103 What is the i'th term of -172, -617, -1822, -4165, -8024, -13777, -21802? -63*i**3 - 2*i**2 + 2*i - 109 What is the u'th term of 328545, 657099, 985655, 1314213, 1642773, 1971335? u**2 + 328551*u - 7 What is the f'th term of 11531, 22905, 34277, 45647, 57015? -f**2 + 11377*f + 155 What is the j'th term of -501, -1006, -1501, -1980, -2437? j**3 - j**2 - 509*j + 8 What is the h'th term of -174, -231, -326, -459? -19*h**2 - 155 What is the i'th term of -222773, -222816, -222925, -223130, -223461? -5*i**3 - 3*i**2 + i - 222766 What is the h'th term of -14419, -14430, -14431, -14416, -14379, -14314, -14215? h**3 - h**2 - 15*h - 14404 What is the s'th term of -40177, -40173, -40165, -40153, -40137, -40117? 2*s**2 - 2*s - 40177 What is the b'th term of 399, 1730, 3949, 7056, 11051, 15934, 21705? 444*b**2 - b - 44 What is the c'th term of -558, -527, -502, -483, -470, -463, -462? -3*c**2 + 40*c - 595 What is the t'th term of 15439, 61772, 139001, 247126, 386147? 15448*t**2 - 11*t + 2 What is the k'th term of -3420, -6842, -10262, -13680, -17096? k**2 - 3425*k + 4 What is the g'th term of -1342, -2038, -2086, -1480, -214? g**3 + 318*g**2 - 1657*g - 4 What is the r'th term of -300, -436, -572? -136*r - 164 What is the z'th term of 2075, 8258, 18563, 32990, 51539, 74210? 2061*z**2 + 14 What is the g'th term of 8619, 8618, 8617? -g + 8620 What is the a'th term of 340, 311, 276, 235, 188? -3*a**2 - 20*a + 363 What is the x'th term of 2815, 5872, 8929, 11986, 15043? 3057*x - 242 What is the p'th term of -408, -1592, -3550, -6282, -9788? -387*p**2 - 23*p + 2 What is the v'th term of 267, 426, 597, 786, 999? v**3 + 152*v + 114 What is the c'th term of 794, 1584, 2370, 3158, 3954, 4764, 5594, 6450? c**3 - 8*c**2 + 807*c - 6 What is the h'th term of 552, 1240, 1930, 2622? h**2 + 685*h - 134 What is the m'th term of -102, -404, -904, -1602, -2498? -99*m**2 - 5*m + 2 What is the p'th term of 17358, 17360, 17362, 17364, 17366, 17368? 2*p + 17356 What is the l'th term of 875407, 875402, 875395, 875386, 875375? -l**2 - 2*l + 875410 What is the d'th term of -916, -3636, -8168, -14512, -22668, -32636, -44416? -906*d**2 - 2*d - 8 What is the r'th term of -10971, -21977, -32983, -43989, -54995? -11006*r + 35 What is the l'th term of -501, -1015, -1531, -2049, -2569? -l**2 - 511*l + 11 What is the b'th term of 1339, 2635, 3931, 5227? 1296*b + 43 What is the m'th term of -25954, -103890, -233784, -415636? -25979*m**2 + m + 24 What is the a'th term of -12109, -12127, -12145, -12163, -12181, -12199? -18*a - 12091 What is the o'th term of 1801, 1756, 1711, 1666, 1621, 1576? -45*o + 1846 What is the k'th term of 49, 145, 283, 463, 685, 949, 1255? 21*k**2 + 33*k - 5 What is the t'th term of -662, -1388, -2176, -3026, -3938, -4912? -31*t**2 - 633*t + 2 What is the j'th term of -474, -511, -544, -573, -598, -619, -636? 2*j**2 - 43*j - 433 What is the f'th term of -278, -1112, -2496, -4430, -6914, -9948? -275*f**2 - 9*f + 6 What is the h'th term of 2976, 5943, 8908, 11871, 14832? -h**2 + 2970*h + 7 What is the h'th term of 188, 353, 514, 671? -2*h**2 + 171*h + 19 What is the q'th term of 70, 245, 514, 877, 1334, 1885? 47*q**2 + 34*q - 11 What is the o'th term of -7, -1100, -4175, -10222, -20231, -35192, -56095, -83930? -165*o**3 - o**2 + 65*o + 94 What is the y'th term of 274681, 549362, 824043? 274681*y What is the t'th term of 30, 27, -34, -195, -498, -985, -1698, -2679? -7*t**3 + 13*t**2 + 7*t + 17 What is the l'th term of 31099, 31113, 31133, 31159, 31191, 31229? 3*l**2 + 5*l + 31091 What is the w'th term of -18677, -37363, -56049, -74735, -93421? -18686*w + 9 What is the w'th term of -479, -906, -1617, -2612, -3891, -5454? -142*w**2 - w - 336 What is the f'th term of -14108, -56416, -126940, -225686, -352660? -f**3 - 14102*f**2 + 5*f - 10 What is the k'th term of -4542, -9237, -14086, -19089, -24246? -77*k**2 - 4464*k - 1 What is the k'th term of -1494, -2994, -4504, -6024, -7554, -9094? -5*k**2 - 1485*k - 4 What is the c'th term of -20812, -41618, -62418, -83212, -104000? 3*c**2 - 20815*c What is the y'th term of -449, -555, -733, -983, -1305? -36*y**2 + 2*y - 415 What is the t'th term of -3816273, -3816271, -3816269? 2*t - 3816275 What is the p'th term of 610, 1278, 2034, 2920, 3978? 7*p**3 + 2*p**2 + 613*p - 12 What is the d'th term of -2829, -11299, -25425, -45213, -70669, -101799? -d**3 - 2822*d**2 + 3*d - 9 What is the q'th term of 191, 282, 391, 524, 687, 886, 1127, 1416? q**3 + 3*q**2 + 75*q + 112 What is the a'th term of -1707, -3576, -5445, -7314? -1869*a + 162 What is the o'th term of -2051, -4181, -6311, -8441, -10571, -12701? -2130*o + 79 What is the c'th term of 11, -20, -147, -412, -857? -7*c**3 - 6*c**2 + 36*c - 12 What is the u'th term of -16, -34, -46, -40, -4, 74? 2*u**3 - 9*u**2 - 5*u - 4 What is the r'th term of -10573, -10571, -10569, -10567? 2*r - 10575 What is the k'th term of -78, -100, -106, -90, -46, 32? k**3 + 2*k**2 - 35*k - 46 What is the h'th term of -8979, -8878, -8777, -8676, -8575? 101*h - 9080 What is the x'th term of -229, -1006, -2311, -4150, -6529? -x**3 - 258*x**2 + 4*x + 26 What is the x'th term of 304, 248, 154, 22, -148, -356, -602? -19*x**2 + x + 322 What is the c'th term of -101457, -202914, -304371, -405828, -507285? -101457*c What is the x'th term of 57, 215, 453, 765, 1145? -x**3 + 46*x**2 + 27*x - 15 What is the u'th term of -64, -193, -392, -655, -976? u**3 - 41*u**2 - 13*u - 11 What is the y'th term of 248, 945, 2110, 3743, 5844, 8413, 11450? 234*y**2 - 5*y + 19 What is the v'th term of -1930, -3711, -5498, -7291, -9090? -3*v**2 - 1772*v - 155 Wh
{ "pile_set_name": "DM Mathematics" }
Let n be 394 - 401 - (-34 + 1 - (-3)/(-3)). Solve -p - 3*i = 1, -23 = 5*p - n*i + 24*i for p. -4 Let r = 504 - 501. Solve -3*o - 18 = -3*i, -12*i + 14*i - r = -o for o. -3 Let d(p) = 117*p - 358*p + 114*p + 120*p + 142. Let w be d(20). Solve -21 = -r + 5*j - 0, -j = w*r + 13 for r. -4 Suppose 2*r - 6 = 0, -5*r + 15 = x - r. Let c be -12*(x/(-12))/(9/12). Suppose -c*w + 11*w = 105. Solve -20 = -4*b, -5*b = -4*o + w - 44 for o. -1 Let r = -377 - -382. Let p(x) = x**3 + 29*x**2 + x + 39. Let a be p(-29). Solve -2*t - 2 = 2*z - 0*z, r*t + 2*z = a for t. 4 Let t(k) = k**3 - 2*k**2 + 7*k + 4. Let u be t(0). Let n = 54 - 116. Let c = n - -87. Solve -3*m = 2*p - c, -u*p + 5*m - 2*m + 5 = 0 for p. 5 Let d(v) = -v**3 - v**2 + 18*v - 24. Let w be d(2). Solve -5*j - 31*q + 12 = -35*q, -4*j + 4*q + 8 = w for j. 4 Let f(q) be the first derivative of -q**3/3 - 8*q**2 - 55*q + 54. Let i be f(-11). Solve 5*w - 1 = l - i, -w = -3*l - 3 for w. 0 Let o be 19/(-133) + (-128)/(-14) + -7. Solve -2*d = o*d, -5*d = 3*t + 12 for t. -4 Let k(o) = 586*o + 7034. Let j be k(-12). Solve -5*m = 2*y + 23, 15*y + j*m = 20*y - 15 for y. 1 Let c(v) = 5*v + 120. Let k be c(-8). Suppose 70*x - k*x = -140. Solve -4*h = -d - 11, 4*h - x = 4*d - 2*d for h. 2 Suppose 7*o = 15 - 295. Let c = -35 - o. Solve 0 = -4*q - 0*p + c*p, 3 = -q + 2*p for q. 5 Let w be (34/119)/((-15)/(-210)). Solve 3*o - 6 = -w*z - 26, -4 = o for z. -2 Let k be 1 - 1 - 1*(-1 - 2). Let c be ((-4)/14 + 0)/(k/(-21)). Suppose -5 = -c*a + 1. Solve a*p = -p + 4*g - 12, -11 = 5*p - g for p. -2 Suppose -3*v + 1 = -2*d, -3*v - 3*d = -d + 7. Suppose -96*r + 4 = 292. Let n = v - r. Solve -8*h + 4*h = 12, n*h = -3*u + 3 for u. 3 Let r be (-8)/4*((-177)/(-2))/(-3). Suppose c - r = -57. Solve 2*n - 21 = -t - c*n, -t + 4*n = 19 for t. 1 Let c(t) = 2*t**3 - t**2 + 10*t - 11. Let l be c(4). Let z = 163 - l. Solve 0*y + z = q - 4*y, y = -5 for q. 2 Let c(s) = s**2 - 7*s + 18. Let j be c(0). Suppose -y = -j + 7. Solve 4*o = -3*t - 0*t + 7, y = 3*t + 2*o for t. 5 Let m = -11859 + 11864. Solve -4*u = -3*o + 14, 23 - 31 = m*u + o for u. -2 Let r(n) = 285*n + 3140. Let z be r(-11). Solve 4*x - 17 = z*j + 6*x, 2*x = -j - 5 for j. -3 Let x = 19 - 15. Suppose x = 5*g - 6. Let m(a) = -a**2 + 70*a - 1051. Let b be m(22). Solve g*u - 8 = b*h - 3*h, u - 3*h - 2 = 0 for u. 5 Let p(d) be the first derivative of -d**4/4 + 5*d**3 - 10*d**2 - 29*d - 17. Let h be p(13). Let j = -37 + h. Solve f + 4*k - 2*k + j = 0, 2*k = -3*f - 20 for f. -4 Let m(c) = c**3 - 7*c**2 + 4*c + 18. Let z be m(6). Suppose -z*n + 1 = -83. Let d(g) = -g + 16. Let p be d(n). Solve -2*b + 2*t + 0 = -4, p*b - 3*t = 8 for b. -2 Let c(d) = 9*d - 14*d - 2 + 2*d + 2*d**2. Let t be c(-1). Suppose 51*b = 31*b + 200. Solve t*y - b = -2*s, s - 4*s - 5*y = -16 for s. 2 Suppose 2*f - 9 = -5*z, -3*f = -3*z - 5*f + 3. Suppose -5*a + z = -12. Solve 3*x - 8 = -4*r, 0 = a*r + 4*x - 5 - 8 for r. -1 Suppose -156*y - 1746 = -147*y. Let x = -170 - y. Solve -5*d - 4*i + 2 = -7*d, -3*d - 3*i = -x for d. 5 Suppose 6*m + 22*m - 50 - 90 = 0. Solve 138*a - 14 = -3*j + 133*a, m*j + 5*a - 10 = 0 for j. -2 Suppose -405*g - 36 = -423*g. Suppose 4*z + 16 = g*y, -4*y + 56 = -3*z + 4. Solve 4*c - 4*p = y, 4*c + 26 = 3*c - 5*p for c. -1 Suppose 699*o = 752*o - 106. Solve -5*t + 55*d + 20 = 52*d, o*t - 3*d - 8 = 0 for t. 4 Suppose 4*t - f - 139 = 0, t = -2*t - 5*f + 87. Solve -10 = 2*i, -t*d = -37*d + 3*i + 6 for d. -3 Let l(y) = -y**2 - 23*y - 127. Let b be l(-13). Solve 3*g + 6 = b*h, -6 = 8*h - 10*h + 3*g for h. 0 Let a(y) = -y**3 + 4*y**2 - 4*y - 5. Let v be a(5). Let o = -52 - v. Let t be 8 + (o - (4 + -3)*1). Solve 4*u - x - 4 = -8, -u - t*x = 22 for u. -2 Let s = 156 + -154. Suppose -5*z + s + 3 = g, 11 = 3*z - g. Solve d - 4*w = -z*w, -2*w = -2*d + 4 for d. 4 Let d = -16 + 18. Let k be d/4 + 880/32. Suppose -s - 4*r = 0, 3*s - k = s - r. Solve -2 = -j, 2*z - 4*z - s = -3*j for z. -5 Let d = 258 - 269. Let f(g) = -9*g - 91. Let o be f(d). Solve -5*c - 7 = u + o, -2*c - 28 = -4*u for c. -4 Let s = 38527 - 38106. Solve a - 4*d + s = 429, -3*d = -a + 7 for a. 4 Let b be -2*((-387)/(-18) - 23). Solve 0 = 5*q - 2*q + 3*i + 24, -b*q + 5*i + 16 = 0 for q. -3 Suppose 10*h - 13*h = i - 5, 0 = i - 2*h - 5. Let z = -69 - -72. Solve 0 = i*t + z*b + 6, -3*t + 4*b + 8 = -0 for t. 0 Let r = -26 + 68. Let q be (r/12 - 5) + (-9)/(-2). Suppose 4*p + a - 37 = -p, 8 = 2*p - q*a. Solve -2*m = 4*y + 14, 0 = -5*y + 3*m - p - 16 for y. -4 Suppose 0 = 4*b + 1282 - 1382. Suppose 34*f - 43 = b. Solve 2*x + f*p + 28 = -3*p, -p = -x for x. -4 Let t = 8 + -5. Let i = 207 - 202. Suppose -l + 5*v = 8, i*v - 16 = -6. Solve 18 = -t*p + l*y, -2*y = 4*p + 3*y + 1 for p. -4 Let w = 926 - 914. Let q be 238/63 + 5/((-45)/(-2)). Solve -q*u - 29 = 3*t, w = 5*t + 5*u + 52 for t. -3 Let r be (1 + 1)*(-27)/(-18). Suppose -4*u + 4*c = -56, -r*u = 5*c - 0*c - 26. Solve -q + 15 = 3*p, 0 = 3*p - u for q. 3 Let u(r) = -386*r. Let w be u(0). Solve 0 = 3*t - 39*z + 35*z - 19, 5*z + 20 = w for t. 1 Let n be 2 + 10 + -9 - 3. Solve 8 = 4*j, 2*j - 24 = 4*v - n*j for v. -5 Let r(b) = b**3 - 23*b**2 - 24*b + 2. Let p(v) = -8*v - 32. Let t be p(-7). Let s be r(t). Solve x + 4 = -x - 5*w, s*w = -x - 2 for x. -2 Let k = 148 + -275. Let g = 131 + k. Solve 0 = -0*x - x + g, 2*a - 3*x = -6 for a. 3 Let p = 389 - 387. Suppose 8 = m + p. Solve -i + 3*k - m = 0, -3*i = -3*k + 3 + 3 for i. 0 Let c be (177/57 - (-34)/(-323)) + 1 - -31. Solve 32*i - 30 = 3*l + c*i, -25 = 5*i for l. -5 Let f = -47 + -32. Let b = f - -82. Solve 4*w = b*l - 4, -4*w + 4 = -10*l + 5*l for w. -4 Let w(s) = 6*s**2 + 45*s - 99. Let c be w(2). Solve -c = -4*f + f, -2*j = 5*f - 31 for j. 3 Suppose 0 = -14950*d + 14959*d - 9. Solve 3*y - 2 = u - d, -3*u - 13 = y for u. -4 Let f be -382*(-10)/(-12)*27/45. Let w = -186 - f. Solve 31 = -5*t + 2*b, -3 = -w*t - 4*b - 16 for t. -5 Let i(t) = -t**3 - 11*t**2 - 2*t - 26. Let l be i(-11). Let w be 8 + (-2 - l - 4). Solve -2*k - 2 = w, -5*n - 1 = 4*k for n. 3 Suppose 9*y - 181 = -145. Solve -y*p + 5*q - 14 = 0, 4*p - q + 5 - 15 = 0 for p. 4 Suppose -45*n = -74*n + 14413. Let o = n - 497. Solve o = -5*i - 4*d + 15 + 20, 0 = -i - 2*d + 13 for i. 3 Let v(n) = -n**3 + 8*n**2 + n - 78. Let d be v(5). Solve -10*l + 11*l - 3*q = 3, 4*l = 5*q - d for l. -3 Let b be ((-1436)/8 - -7) + (-2)/4. Let o = b - -186. Solve -4*k = m - 13, o = 3*m + k - 2*k for m. 5 Suppose 13*u = 12*u - 5*z + 26, 0 = u + 3*z - 18. Solve h + y + u = 4, -4*y = -3*h + 22 for h. 2 Let a be (-3)/((6/(-5))/2). Let q be 9/189*12 - 20/(-42)*3. Solve 0 = q*k - 0*k + 4*i + 24, -k - 27 = a*i for k. -2 Let a = -8 + 117. Let j = a - 104. Suppose r - 2*l = 8, 0*r + j*r - 27 = -3*l. Solve 0 = -3*i - 6, -i = 4*w + r + 16 for w. -5 Suppose 0 = 432*h - 470*h + 190. Solve -h*d + 5*i = -25, d - 1 = -0*i - 3*i for d. 4 Let h = -4856 - -4865. Solve -4*b - 3 = -z, 0 = -6*b + 9*b + 3*z - h for b. 0 Suppose 0 = 81*u - 73*u - 128. Suppose -u*q + 19*q = 39. Solve q = 4*t + 5*m, 2*t - 7*t = 4*m - 14 for t. 2 Let k(o) = o + 8. Let d be k(-6). Let a be d + -7 + 6 - (-5 - 0). Let p be (2/(-3))/(a/(-135)). Solve 4*x - 3 = -0*x - 3*i, p = 3*i for x. -3 Let x(b) = -b**3 + 8*b**2 + 33*b + 13. Let l be x(11). Suppose 3*h = -0*h + 4*z + 11, 4*h - 19 = z. Solve 2*w + 4 = 0, -h*s = -2*s + w - l for s. 5 Let k be 96/(-384)*372/3*(-2 + 1). Solve h + k = -4*h + 3*u, -3*u - 19 = 5*h for h. -5 Suppose -14*b + 37 = -47. Suppose -l + 0*l - b = 3*v, -4*v - 29 = -l. Let y = -33 + 37. Solve -4*k + 5*s = l, 0*k - y*s = -3*k - 8 for k. 4 Let u(q) = q**2 + 15*q + 5. Let d = 41 + -56. Let p be u(d). Suppose -p*a + 3*a + 8 = 0. Solve -4*m = -a*t + 9 + 3, -2*t + 6 = 3*m for m. 0 Let m be -18 - (4 + 2 + 0). Let z be (-9)/m + 37/8. Solve 0 = -z*r - n + 9, 4*r - n - 3 = -6*n for r. 2 Let q be -4*1 + (-336)/6. Let g = q - -66. Suppose g*m + 0*m = 2*m. Solve -2*b - 2*r + 8 = -m, 4*b - 5*r = -2 for b. 2 Suppose 0 = -10*m + 40 + 90. Suppose 0 = -0*a - m*a. Suppose 5*s - 15 = -a. Solve -4*x - 3 = -2*z + s, 10 = z + 5*x for z. 5 Suppose 18*m - m - 95 + 27 = 0. Solve z = -f - 4, 5*z + 4*f = -22 + m for z. -2 Suppose -2*s = d + 3*d + 424, 0 = 2*d - s + 216. Let m = -105 - d. Solve 0 = m*v + 8, c - 3*c - 2*v = 6 for c. 1 Let l(y) = -2*y**3 - 9*y**2 +
{ "pile_set_name": "DM Mathematics" }
y - 68. What is the units digit of y? 4 Suppose 4*c + 5*b - 284 = -0*c, 4*c - 312 = 2*b. Suppose 3*x = x + c. What is the tens digit of x? 3 Suppose -h + 2*h = 4. What is the units digit of (-7 + h)*7/(-3)? 7 Suppose -g = g. Suppose -3*n + 2*u + 63 = -g*u, -2*u + 63 = 3*n. What is the units digit of n? 1 Let z = -1 - -5. Suppose -z*g = -9*g + 55. What is the units digit of g? 1 Suppose t + 0*t = 37. What is the units digit of t? 7 Suppose -2*w + 120 = w. What is the units digit of w? 0 What is the units digit of (164/6)/((-16)/(-6) + -2)? 1 Let i = 83 - -24. What is the units digit of i? 7 Let u(n) = 2*n - 4. Let h be u(4). Suppose x + 3*t - 32 = -3*x, 3*x + h*t - 31 = 0. Suppose -3*i - x*q + 49 = 0, -2*q = 3*q - 25. What is the units digit of i? 8 Suppose -3*d - 4*f + 31 = -0*d, -3*d + f + 26 = 0. Suppose 0 = -2*y + 5*y. Suppose -d = -q - y*q. What is the units digit of q? 9 Suppose 4*q + 3*t - 13 - 5 = 0, -2*t = 4. What is the tens digit of (3/(-2))/(q/(-160))? 4 Let z be (1 - 0) + -4 + 5. Suppose -36 = -4*u + 2*y, -u + 14 = -z*y - y. What is the units digit of u? 8 Let m(s) = 5*s**2 + 4*s + 2. Let a(j) = 6*j**2 + 4*j + 2. Let v(u) = -4*a(u) + 5*m(u). Let x be v(-4). Suppose -x*h - 3*h = -55. What is the tens digit of h? 1 What is the tens digit of (-833)/(-28) - (-3)/12? 3 Suppose 3*g = 2*i + 87, 3*i = -5*g + 3*g + 45. Let s be (-2)/(-4) - (-135)/30. Suppose -s*t + 23 = -g. What is the tens digit of t? 1 Let m be -1 + 6 + -1*1. Suppose 4*x - 23 = y, -m*y + 0*y = x - 10. What is the units digit of x? 6 Let o be 2 + 0 - (-4 - -3). Suppose o*r = -r + 40. What is the tens digit of r? 1 Suppose -k - 1 = -3*m, -2*k - 2 = -5*m - 0. What is the units digit of k + (-12)/(-4) + 38? 0 Let w = 10 - -75. Suppose f - 2*a - 7 = -3*a, w = 5*f - 5*a. What is the units digit of f? 2 Let i = 13 + -7. Suppose -1 + 13 = -6*f. Let w = f + i. What is the units digit of w? 4 Suppose -10 = m - 1. Let d(g) = g**2 + 7*g - 12. Let z be d(m). Suppose 10 = 4*l - z. What is the units digit of l? 4 Let c be 2*(7/2)/1. Let l be (-4)/(-2)*(-18)/(-12). Let t = c - l. What is the units digit of t? 4 Let v = -17 + 21. What is the units digit of ((-6)/v)/(1/(-10))? 5 Let q = -1 - -6. Suppose 63 = -q*m + 3. Let z = m - -18. What is the units digit of z? 6 Suppose -2*u - 2*j + 18 = 0, 2*j + 36 = -0*u + 4*u. Let x = 2 + u. What is the units digit of x? 1 Suppose 4*a = 7*a + 5*h - 16, 2*h - 2 = a. What is the units digit of a? 2 Suppose 4 = 5*p + 4*s - 29, 2*s = -5*p + 29. Let t(m) = m**2 - 5*m - 3. Let h be t(p). What is the units digit of 3/(h/1)*-16? 6 Let y = -216 + 581. What is the tens digit of y? 6 Suppose -r = 4*r. Suppose 4*y - 16 = -r*y, -5*y = 4*f - 36. What is the units digit of f? 4 Suppose 0 = -k - 0*k + 3*l - 12, -5*k = -2*l - 5. Suppose 46 = 5*b - k*b. What is the tens digit of b? 2 Let v = 21 - 3. What is the tens digit of v? 1 Suppose 2*q - 26 - 4 = 0. Suppose j - q = -4*j + 2*v, -5*v + 6 = 2*j. Let m = j + 1. What is the units digit of m? 4 Let d(n) = 24*n + 1. What is the tens digit of d(7)? 6 Let a(p) = -1. Let v(q) = q**2 - q + 3. Let f(i) = 3*a(i) + v(i). What is the units digit of f(2)? 2 Let o = 3 + -1. Suppose k + o - 9 = 0. What is the units digit of k? 7 Let q(s) = -9*s - 3. What is the units digit of q(-6)? 1 Suppose 2*b - 25 = -5*m, -3*m - 3 = -2*m. What is the units digit of b? 0 Suppose 5*i = 2*c + 28, 2*i + 5*c = 4*i - 7. Suppose 5*g = 5*d + 80, 2*d - 45 = g - i*g. What is the tens digit of g? 1 Let n be (2 + -1)/((-2)/6). Let o = -2 - n. What is the units digit of (-20)/(-4) + o + 0? 6 Let m be (-54)/(-30) + (-2)/(-10). What is the units digit of ((0 + 6)/m)/3? 1 Let h(s) = s**3 + 8*s**2 - 12*s - 13. Let d be h(-9). Let z = 5 - d. What is the tens digit of z*4/(-3) - -1? 1 Let f be 2 + 1 - 4/(-2). Suppose f*s - 24 = -4. Suppose -21 = -3*c + s*v + 8, c = -5*v - 22. What is the units digit of c? 3 What is the hundreds digit of 8/(-20) - (-8)/(-5) - -344? 3 Let l = 19 - 18. Let o(t) = 0*t**2 + 4*t**2 - 3*t**2. What is the units digit of o(l)? 1 Let m = -109 - -171. What is the units digit of m? 2 Suppose -10 = -2*y, 2*v + 0*y = 2*y + 70. What is the units digit of v? 0 Let b(p) = -p**3 + 11*p**2 - p + 14. Let q be b(11). What is the units digit of 3 + -5*(0 - q)? 8 Suppose 5 = -3*l - 7. What is the units digit of 1 + l - 46/(-2)? 0 Suppose -3*v + 295 = 5*o, -2*v + 2*o + 120 = -66. What is the tens digit of v? 9 Let x(j) = 9*j**2 - 2*j + 1. Let z be x(1). Let o(h) = -h**3 + 7*h**2 + 8*h + 2. What is the units digit of o(z)? 2 Suppose -9 + 29 = -4*b. Let y(j) = j**2 + 4*j - 3. Let l be y(b). Suppose -l*c - 4*o = -8, 3*c = -c + o + 16. What is the units digit of c? 4 Let r(h) = h**3 - 9*h**2 + 4*h + 1. What is the tens digit of r(10)? 4 Let j = 90 - 36. What is the units digit of j? 4 Let d(s) = -4*s - 19. What is the units digit of d(-16)? 5 Let u be (-639)/(-7) + (-6)/21. Suppose 2*n = -2*l + 3*n + 35, 4*l - u = -5*n. What is the units digit of l? 9 Suppose -3*s = -3*r + 36, 3*s + 1 = 5*r - 45. Let x = 9 + s. What is the units digit of x? 2 What is the tens digit of (-92)/(-115)*390/1? 1 Suppose 0 = -3*h + 6*h - 42. What is the units digit of h/7*(0 + 5)? 0 Suppose 4*t - 3*n = -54 + 8, t = -2*n - 6. Let g = t + 29. What is the units digit of g? 9 Suppose -3 = 3*a + 3. Let o be -2 + 5 + -3 + -3. What is the units digit of a/(-3) + (-16)/o? 6 Suppose 5*m - 76 = -11. Let o = m - 0. What is the tens digit of o? 1 Let q = 3 - 18. Let p be 36/q + 6/(-10). What is the units digit of ((-9)/3)/p + 0? 1 Suppose -3*n + m + 103 = 0, -13 = -n + m + 18. Suppose 5*p - 3*p = n. What is the units digit of ((-4)/4)/((-2)/p)? 9 Let y be 20/(-2*2/(-4)). Let u = -3 - -3. Suppose -n = -u*n - y. What is the tens digit of n? 2 Suppose -5*x + 4*p + 73 = 0, -5*x + 97 = 5*p - p. Let y = x - 9. What is the tens digit of 4/2*44/y? 1 Let k = -15 + 27. What is the units digit of k? 2 Suppose 3*x - 5 = -q + 8, 4*q + 3*x = 16. Let l = -4 - -3. What is the units digit of (-15*1)/l*q? 5 Let y(w) = -w - 5. Let t be y(-5). Let h be t/(-1 - (-6)/3). Let l = h - -6. What is the units digit of l? 6 Let h(p) = -p - 3. Let y be h(-9). Let d = y - 4. What is the units digit of d? 2 Suppose 3*i = 36 + 6. Suppose 3*o = -j - 0*j + 5, 5*o - 4*j - i = 0. What is the units digit of o? 2 Suppose 4*k + 0*j + 48 = 3*j, -4*k + j = 56. Let o = -10 - k. What is the units digit of o? 5 Let j = 214 - -39. What is the units digit of j? 3 Let g(p) = p**3 + 6*p**2 + 4*p - 5. Let s be g(-5). Suppose 0 = -l - s*l + 4. Suppose -30 = -3*h - 2*b, -2*b = l*h + h - 46. What is the units digit of h? 8 Let j(u) = -2*u - u**2 + 0*u + 5*u**2 + 1. Let z be j(1). Suppose 0 = 5*y - z - 27. What is the units digit of y? 6 Let y be (-3)/((5 + -2)/3). Let l = y + 3. What is the units digit of l - (-5)/(15/42)? 4 Let z(l) = -4*l + 1. Let q = 4 - 3. Let h be 3/6*(-2)/q. What is the units digit of z(h)? 5 Suppose -b - 2*h + 8 = -23, -5*b + 3*h = -207. What is the units digit of b? 9 Let d = -53 - -109. Let r = -24 - d. What is the units digit of (-12)/(-5)*r/(-12)? 6 Let y(d) = -7*d**3 - 11*d + 1. Let x(l) = l**3 - l**2 + l. Let c(i) = -6*x(i) - y(i). What is the units digit of c(-4)? 1 Let z(y) = -y + 7. Suppose -r = -9 + 4. Let j(t) = -4. Let q(x) = r*j(x) + 3*z(x). What is the units digit of q(-2)? 7 Let x(d) = -54*d + 11. What is the tens digit of x(-5)? 8 What is the tens digit of 30 - -5*(-5)/25? 2 Suppose 2*d - 3 = 7. Let c(o) = o**3 - 4*o**2 + 5*o - 4*o + 13 - o**2 - 6. What is the units digit of c(d)? 2 Let x = 202 - 139. What is the tens digit of x? 6 Suppose 2*a - 80 = -34. What is the tens digit of a? 2 Let z(t) = t**3 - 4*t**2 - 4*t + 1 - 7 + 3. Let p be z(5). Suppose -3*y - 5*q + p = 0, -5 = 4*y + q - 19. What is the units digit of y? 4 Suppose -3*g = -2*o + 628, 3*o - 160 = -5*g + 744. What is the hundreds digit of o? 3 Let u = -7 - -12. Suppose 0*o - u*a - 6 = 3*o, 0 = -4*o - 2*a + 6. What is the units digit of o? 3 Let l(b) = 2 - 5*b + 10*b**2 - 2*b**2 - 7 - b**3. Suppose 4*p + 0*w - 36 = 4*w, -5*w = 10. What is the units digit of l(p)? 9 Let z(i) = i - 3. Let o be z(3). Suppose -2*w - w + 3 = o. What is the units digit of 342/24 - w/4? 4 Suppose 0 = -3*o + o - 3*b + 117, 2*o + 2*b = 114. What is the units di
{ "pile_set_name": "DM Mathematics" }
at is the remainder when c is divided by n(4)? 3 Let y(j) = 3*j**2 - 9*j + 2. What is the remainder when y(5) is divided by 12? 8 Let g(k) = -k**3 + 7*k**2 + k + 7. Let s be (-12)/(-5) - (-2)/(-5). Suppose -5*t + 2*t + 23 = 4*u, -s*u = -4. Calculate the remainder when g(7) is divided by t. 4 Suppose s - 9 - 2 = 0. Let o(x) = 2*x**2 + x - 2. What is the remainder when o(-5) is divided by (3 + -1)/(2/s)? 10 Suppose -4*x + 36 = -0*x. What is the remainder when 35 is divided by x? 8 Let r(x) = x**2 + 2*x - 2. Let l be r(-3). Let n = l + 1. Suppose -14*z = -15*z + 1. Calculate the remainder when n is divided by z. 0 Let c be 37 + 2/2*-1. Suppose g = -g + c. Calculate the remainder when g is divided by 10. 8 Let c = -20 - -34. Let q = c - 2. What is the remainder when ((-25)/(-4))/(-5)*-28 is divided by q? 11 Let o = -1 + 3. Let y = o + 3. Suppose -11 = -y*v + 34. Calculate the remainder when 25 is divided by v. 7 Let g(r) = 7*r - 8. What is the remainder when g(7) is divided by 14? 13 Suppose 4*d = 2*a - 47 + 157, 0 = 2*d - 4*a - 70. Calculate the remainder when d is divided by 9. 7 What is the remainder when 23 is divided by (-2)/10 + 82/10 + -4? 3 Suppose -2*t = 2*t - 56. Calculate the remainder when t + (-3 - -2 - -1) is divided by 5. 4 Let m(h) = -h**3 + 7*h**2 - 5*h. Let t be m(6). Suppose 36 = 3*d + 3*u, -t*d = -d - 3*u - 100. Calculate the remainder when 31 is divided by d. 14 Let s(m) = m**2 + 9*m + 2. Let t be s(-9). Suppose -t*d - 3*d + 200 = 0. Let u = d - 0. Calculate the remainder when u is divided by 14. 12 Let c = -29 + 79. What is the remainder when c is divided by 17? 16 Suppose -2*w - 409 = -5*u + w, -2*w = -3*u + 245. Suppose 5*m + 23 - u = 0. Calculate the remainder when (-200)/12*m/(-5) is divided by 21. 19 Let g = -97 - -58. What is the remainder when -2 - (3 - 3) - g is divided by 10? 7 Let k = 7 + 31. Let m be (-6)/(-4)*8/6. Suppose h - 32 = -j - 11, -78 = -4*h + m*j. Calculate the remainder when k is divided by h. 18 Let r = 285 + -142. Calculate the remainder when r is divided by 36. 35 Let o(w) = -w**3 + 10*w**2 + w + 3. What is the remainder when 23 is divided by o(10)? 10 Suppose -5*d + 25 + 40 = 4*n, 0 = 4*d - 4. Suppose 0 = -3*b + 5*v + 164, b + 4*v + 0*v - 49 = 0. Let s = 80 - b. What is the remainder when s is divided by n? 12 Suppose -3*x + 29 = -4. Suppose 0 = 4*s - 36 + 8. What is the remainder when x is divided by s? 4 Let r(m) = -m**3 - 3*m**2 - 2*m + 2. Calculate the remainder when 27 is divided by r(-3). 3 Let k = 45 - -154. Calculate the remainder when k is divided by 40. 39 Suppose -4*i + 14*i - 270 = 0. What is the remainder when 79 is divided by i? 25 Suppose r - 4 = 3*x, 5*x - 12 = 5*r - 32. Suppose -5*v - 2*c + 169 = x, -3*c = -2*c - 2. Calculate the remainder when 4 is divided by 93/v + 2/11. 1 Suppose 0 = -v - 4 + 21. Let q = 1 + 14. Let g = -9 + q. What is the remainder when v is divided by g? 5 What is the remainder when 2*-178*1/(-4) is divided by 23? 20 Let a = 85 - -57. What is the remainder when a is divided by 36? 34 Let d = 8 + 2. Calculate the remainder when d is divided by 0 + 5 + 2/3*-3. 1 Suppose -2*z - 3*u + 216 = 0, -u + 195 + 371 = 5*z. Calculate the remainder when z is divided by 23. 22 Let c = -3 + 6. Let n = c + -1. Calculate the remainder when 6/2 + 3 + -1 is divided by n. 1 What is the remainder when (-2424)/(-21) - (-6)/(-14) is divided by 29? 28 Let c = 41 - 36. Suppose -2 + 29 = 3*b. Calculate the remainder when b is divided by c. 4 Let z(v) = 2*v + 22. Suppose -2*x = x - 12. Suppose d - 2*u + u = 7, 3*u = x*d - 23. What is the remainder when z(-10) is divided by d? 0 Let j = 21 + -31. Let l = 26 + j. Suppose k = 1, -2*y + 6*y = 2*k + 34. Calculate the remainder when l is divided by y. 7 What is the remainder when 53 is divided by -2*2*(4 + (-31)/4)? 8 Suppose -3*g + 5*y = -95, 2*g - 7*g + 190 = -2*y. What is the remainder when g is divided by 14? 12 Let u(d) = 15*d**2 + d. Let i(q) = -2*q**3 - q**2 + q + 1. Let a be i(-1). Calculate the remainder when u(a) is divided by 5. 1 Let o = 23 + 23. Let p be (-1*(2 - 70))/2. Let y = -22 + p. Calculate the remainder when o is divided by y. 10 Let f(u) = u**3 + u + 10. Calculate the remainder when f(0) is divided by 6. 4 Let a(z) = 5*z. Let n = 2 - 0. Let b(s) = s**2 - 10*s + 4. What is the remainder when a(n) is divided by b(10)? 2 Suppose 3*i + 17 = 2*p - 3*p, 5*i = -2*p - 31. What is the remainder when 248/6 + p/(-12) is divided by 9? 6 What is the remainder when (-2 - -117) + 1 + -1 is divided by 29? 28 Suppose 8*q = 5*q + 33. Let j(p) be the third derivative of p**5/60 + p**4/24 - p**3/3 - p**2. What is the remainder when q is divided by j(2)? 3 Let w(x) = x**3 + 3*x**2 - 6*x - 2. Let s be w(-4). Let j(u) = -u**3 + 6*u**2 + 7*u + 1. What is the remainder when j(s) is divided by 2/(-3) + 188/12? 13 Let l(t) = -t**2 + 8*t + 15. Let j(i) = 2*i - 3*i + 43 + 2*i. Calculate the remainder when j(0) is divided by l(8). 13 Let b = 5 + 44. What is the remainder when b is divided by 13? 10 Let m = -115 + 121. Calculate the remainder when 7 is divided by m. 1 Suppose 5*m - 9 - 6 = 0, 0 = 3*y + 5*m + 33. What is the remainder when 8/y - 118/(-4) is divided by 16? 13 Let g = -46 - -129. What is the remainder when g is divided by (-4)/((-2)/(-1)) - -23? 20 Let a be 20/((-3)/((-6)/4)). What is the remainder when 23 is divided by ((-4)/a)/(3/(-90))? 11 Suppose 4*a - 6 = 6. Suppose -3*d = -14 - 1. What is the remainder when d is divided by a? 2 Let s be (4/(-10))/(2/30). Let d = -3 - s. Calculate the remainder when 5 is divided by d. 2 Suppose -3*i + 488 = -i. Suppose b = -3*v + 183, 4*v = -4*b + 2*b + i. What is the remainder when v is divided by 21? 19 Suppose 70 = 3*y - j, 0 = y + j - 51 + 21. Calculate the remainder when y is divided by 13. 12 Suppose 35 = 7*q - 2*q - 4*f, -5*q + 3*f = -35. Calculate the remainder when 27 is divided by q. 6 Suppose 4*g - 5*z - 30 = -5, 3*g - 5*z = 25. Let s(o) = o**2 + o + 30. What is the remainder when s(g) is divided by 16? 14 Let c = -6 + 37. Suppose -23 = -5*d + 2*p, -3*d - 2*p = 2 - 3. Suppose -d*w + 0*w + 33 = 0. What is the remainder when c is divided by w? 9 Suppose 0 = b + 3*s - 6, -4*b + 5*s = -5*b + 2. What is the remainder when b is divided by 10? 2 Suppose -2*m - 3*y + 19 = 0, -4*m + 0*y + 47 = -3*y. What is the remainder when 42 is divided by m? 9 Calculate the remainder when 64 is divided by (1 - 0)*(-7)/((-35)/55). 9 Let f = -8 + 8. Suppose u - 2*u + 10 = f. Calculate the remainder when 18 is divided by u. 8 Suppose -m + i = -6 - 21, -5*m - i = -153. Let t(l) = -15*l - 3. What is the remainder when t(-4) is divided by m? 27 Let k(r) = r**2 - 1. Let f(q) = -q**3 - 13*q**2 - 2*q + 12. Let j(d) = -f(d) - 6*k(d). Suppose -9 - 3 = -x. What is the remainder when j(-5) is divided by x? 10 Suppose 69 = 3*o - 42. What is the remainder when o is divided by ((-18)/27)/(4/(-78))? 11 Let u = -7 - -5. Suppose w - 6*w - 101 = -4*i, 0 = 5*w + 25. What is the remainder when i is divided by (7/(-4))/(u/8)? 5 Suppose 0*b + 32 = b + 4*u, -5*b - 2*u = -70. Let s(a) = -a + 46. What is the remainder when s(0) is divided by b? 10 Suppose -64 = -2*o - 2*o. Suppose -16*i + 17*i = 6. Calculate the remainder when o is divided by i. 4 Let m = -9 + 15. Suppose 0 = 4*g + w - 3 - 3, -3*w + m = 0. Calculate the remainder when 2 is divided by g. 0 Let w(p) = p + 5. Let t(x) = -x**2 + 2*x + 2. Let o be t(-2). Let r be w(o). Let a = r + 4. Calculate the remainder when 7 is divided by a. 1 Let y(d) = 2*d**2 + 9*d - 7. What is the remainder when y(-7) is divided by 11? 6 Suppose 2*r = -5*h + 30, r - 5*r = 3*h - 32. Let y = 9 + -4. Suppose -y*c - 3 = -13. What is the remainder when r is divided by c? 1 Let a(v) = v**3 - 4*v**2 + 2*v + 3. Let y be a(3). Let b = 1 - -3. Suppose -b*w + y*w = -2*p + 4, p + w = 11. Calculate the remainder when p is divided by 3. 2 Suppose -5*a = -5*j + 120, 47 = 4*j - a - 37. What is the remainder when 58 is divided by j? 18 Suppose 2*k - 36 - 11 = -n, 0 = 5*n - 5*k - 175. Calculate the remainder when n is divided by 0 + (-1 - -2) - -13. 11 Let m(r) = 3*r + 4. Let s = 51 + -115. Calculate the remainder when 6*(s/(-6))/1 is divided by m(6). 20 Let y(p) = 6*p**2 - 3*p - 2. Let g be y(-6). Suppose 0 = 2*t
{ "pile_set_name": "DM Mathematics" }
derivative of 13*v**3/3 - 2*v**2 + 11*v - 1. Let d(b) = -7*b**2 + 2*b - 6. Let o be (1/(-2))/((-235)/60 + 4). Calculate o*t(a) - 11*d(a). -a**2 + 2*a Let i = -36 + 28. Let p(b) = -6*b - 4. Let a(z) = -4*z - 3. Determine i*a(c) + 5*p(c). 2*c + 4 Suppose 2*j + 2*s + 2 = 0, -5*j + 2*s + 1 = 34. Let f(v) = -5*v**2 - 5. Let o(p) = 6*p**2 + 6. Calculate j*f(a) - 4*o(a). a**2 + 1 Let i(o) = -2*o**3 - 5*o**2 + 5*o + 4. Let b(m) = -m**3 - 3*m**2 + 3*m + 2. Give -5*b(y) + 3*i(y). -y**3 + 2 Let l(q) = -1. Let w be (2 - 0)*(-1)/(-2). Let t(r) = -r - 4. What is w*t(s) - 6*l(s)? -s + 2 Let k(w) = -3*w**2 + 3*w. Let p(q) = 7*q**2 - 5*q. Suppose -2*h = 3*l + 4, 5*h + 51 = 5*l + 16. Give h*k(f) - 3*p(f). -6*f**2 Let s(i) = -3*i - 12. Let q(t) = -2*t - 2. Let x be q(5). Let a(k) = 1. What is x*a(y) - s(y)? 3*y Let h(k) = -1. Let z(f) = f**3 - 2*f**2 + 6. What is -3*h(m) - z(m)? -m**3 + 2*m**2 - 3 Let j(l) = 3*l**2 - 3*l. Let h(d) = -d**3 - 10*d**2 - 23*d - 11. Let f be h(-7). Let r(u) = -4*u - u**3 + 4*u**2 - 2*u**3 + 4*u**3. Give f*r(n) - 4*j(n). 3*n**3 Let y(n) = -11*n - 10. Let p(d) = -4*d - 3. Determine 7*p(a) - 2*y(a). -6*a - 1 Let s(o) = 2*o**3 + 3*o + 5. Suppose -9 = -0*r - r. Let c be 6/r*(-9)/(-2). Let z(f) = 3*f**c - 3*f + f + 7*f + 9. What is 7*s(u) - 4*z(u)? 2*u**3 + u - 1 Let i(g) be the second derivative of -2*g**3/3 - 7*g**2/2 + 38*g. Let k(m) = 8*m + 13. Give -11*i(q) - 6*k(q). -4*q - 1 Let f(w) = -6*w**3 + 4*w**2 + 3. Let d(n) = 13*n**3 - 9*n**2 - 7. What is 3*d(z) + 7*f(z)? -3*z**3 + z**2 Let c(z) = z**3 - 3*z**2 - 2*z - 1. Let a be c(4). Let w(l) = -2*l**2 - 2*l + 2. Let j = 12 - 9. Let n(u) = 4*u**2 + 5*u - 5. Calculate a*w(s) + j*n(s). -2*s**2 + s - 1 Let h(i) = 28*i**3 + i**2 - 4*i + 2. Let j(n) = n**3 - n. Calculate -h(w) + 6*j(w). -22*w**3 - w**2 - 2*w - 2 Let c(q) = q**3 - q. Let r(w) = -4*w**3 + w**2 + w. Give 6*c(v) + r(v). 2*v**3 + v**2 - 5*v Let f(i) = 3*i - 8 + 2*i - 6*i + 2. Let r = 7 + -13. Let l(y) = y + 5. Let p(h) = r*l(h) - 5*f(h). Let a(s) = 1. Calculate -a(q) + p(q). -q - 1 Let p(a) = -2*a**2 + 3*a. Let z(b) = -4*b**2 + 7*b + 1. Let t be (-5 - 4/(-1))*3. Calculate t*z(q) + 7*p(q). -2*q**2 - 3 Let x be (-2)/(-10) + 29/5. Let t(i) = -4*i**3 + 6*i**2 + 6*i + 6. Let s(q) = -q**3 + q**2 + q + 1. Give x*s(k) - t(k). -2*k**3 Let w(t) = t + 5. Let f(m) = m + 11. What is 6*f(j) - 13*w(j)? -7*j + 1 Let d(y) = 6*y - 2. Let i(x) = -x. Suppose -60 = 3*g + g. Let a = -11 - g. Suppose -3*k = -4*k + a. Give k*i(l) + d(l). 2*l - 2 Let q = -15 - -22. Suppose -3*w + q = -8. Let n(y) = -y - 3. Let d(t) = -t - 3. Calculate w*d(o) - 4*n(o). -o - 3 Let n(g) = 5*g - 6. Let u = -14 + 10. Let p(r) = -4*r + 5. Give u*p(z) - 3*n(z). z - 2 Let x(h) = -4*h**3 - 6*h. Let s(v) = -v**3 - 3*v**2 + 6*v + 2. Let p be s(-4). Let d(r) = -5*r**3 - 7*r. What is p*x(w) + 5*d(w)? -w**3 + w Let m(x) = 3*x**3 + 4*x + 4. Let a(o) = o**2 - o. Let k be a(3). Let p = 10 - k. Let h(g) = 7 + 0 + 2*g**3 + 3*g**3 + 7*g. What is p*h(v) - 7*m(v)? -v**3 Suppose -2*m - 16 = -3*a, -m - 3*m = 5*a - 12. Let u be m*(2 + (-5)/2). Let k(j) = -6*j**2 + 5. Let n(w) = -w**2 + 1. Give u*k(d) - 5*n(d). -d**2 Let c(w) be the first derivative of -w**4 - 5*w**3/3 - 3*w**2/2 - 4. Let z(r) = -3*r**3 - 4*r**2 - 2*r. What is -2*c(g) + 3*z(g)? -g**3 - 2*g**2 Let f(t) be the first derivative of -2*t**3/3 + t**2 + 4*t - 26. Let p(q) = -2*q**2 + 2*q + 3. What is 4*f(j) - 5*p(j)? 2*j**2 - 2*j + 1 Suppose 3*m - p + 54 - 16 = 0, 2*m + 2 = -4*p. Let l(v) = -v. Let c(q) = 65*q + 73*q - 1 - 132*q. What is m*l(g) - 2*c(g)? -g + 2 Let i(m) = 3*m**3 + 7*m**2 - 15*m - 9. Let q(v) = -v**3 - 3*v**2 + 7*v + 4. What is 4*i(b) + 9*q(b)? 3*b**3 + b**2 + 3*b Let c(a) = -41*a**2 - 3*a + 3. Let b(z) = 1518*z**2 + 110*z - 110. Determine -6*b(i) - 220*c(i). -88*i**2 Let l(x) = 4*x + 3. Let r(p) = 1. Give -l(z) + 6*r(z). -4*z + 3 Let f(o) = -o + 8. Let d(k) = 2*k - 17. Determine -6*d(i) - 13*f(i). i - 2 Let v(t) = 2*t**3 + 2*t**2 + 3*t. Let b(h) = -3*h**3 - 3*h**2 - 5*h. Suppose -5*w + 25 = 4*i, -i + 4*w - 29 = -6*i. Calculate i*v(m) + 3*b(m). m**3 + m**2 Let w(a) = -1. Let s(h) = -h**3 - 6. Suppose -2*i - 2*p + 9 = -p, -2*i + 5*p - 21 = 0. Suppose 5*n = -g + 3*g + i, 5*n - 1 = g. Calculate g*s(b) + 6*w(b). b**3 Let w(q) = -6*q - 2. Let g(r) = 5*r + 1. Give -4*g(t) - 3*w(t). -2*t + 2 Let c(l) = l**2 - 4*l - 2*l - 5 + 3*l - 3*l. Let s be c(6). Let o(v) = -3 + 3*v**3 + 5*v**2 - 6*v + 5 + 2. Let d(h) = -h**3 - h**2 + h - 1. Give s*d(w) - o(w). 2*w**3 + w + 1 Let c(u) = 3*u. Let i(z) = -12*z. Give 9*c(y) + 2*i(y). 3*y Let j(o) = o + 4. Let b(i) = 2. Let a = 14 - 19. Let p(g) = 3. Let l(c) = a*p(c) + 6*b(c). Calculate -3*j(z) - 4*l(z). -3*z Let q(f) = 6*f**3 - 4*f**2 + 3*f. Let j(r) = -r**3 + r**2 - r - 1. Give -4*j(d) - q(d). -2*d**3 + d + 4 Let r(s) = 6*s + 7. Let c(l) = l - 2*l - l**2 + 6*l + 7. Let o be c(7). Let d = 100 + -95. Let k(q) = 4*q + 5. Determine d*r(m) + o*k(m). 2*m Let i(h) = -2*h**2 - 11*h + 3. Let m(o) = o**2 + 4*o - 1. Let j(k) = k**2 + 16*k - 25. Let n be j(-18). What is n*m(q) + 4*i(q)? 3*q**2 + 1 Let n(q) = 4*q**2 - 3. Let x(r) be the first derivative of -r**4/12 - 3*r - 3. Let z(v) be the first derivative of x(v). What is -n(k) - 6*z(k)? 2*k**2 + 3 Let w(q) = -9*q**3 + q**2 + 6*q. Let y be -4 - -4 - (5 + 1). Let x(s) = -10*s**3 + s**2 + 7*s. What is y*x(a) + 7*w(a)? -3*a**3 + a**2 Let q(m) = m**2 - 4*m + 2. Let d be q(3). Let y(h) = -h**3 - h**2 + h. Let v(n) = 3*n**3 - n**2 - n - 2. Determine d*y(r) - v(r). -2*r**3 + 2*r**2 + 2 Let c = 75 - 101. Let j be 2/11 + 68/(-11). Let d(f) = f - 6 - 7 + 3*f. Let h(i) = -i + 3. Calculate c*h(z) + j*d(z). 2*z Let u(l) = 1. Let a(j) = 2*j - 13. Calculate -a(v) + 4*u(v). -2*v + 17 Let w(q) = -q**3 - 3*q**2 + 3. Let p(t) be the first derivative of -3*t**4/2 - 16*t**3/3 + 16*t + 13. Calculate 3*p(r) - 16*w(r). -2*r**3 Let r(j) = -1. Let w(a) = -a**2 + 2*a - 7. What is -5*r(h) + w(h)? -h**2 + 2*h - 2 Let u = 24 - 23. Let l(h) = h**3 + h**2 + h - 1. Let n(c) = 9*c**3 + 6*c**2 + 6*c - 6. Determine u*n(a) - 6*l(a). 3*a**3 Let k(u) = -u**3 - 4*u**2 - 4. Let a(c) = -2*c**3 - 5*c**2 - 3. Determine 2*a(f) - 3*k(f). -f**3 + 2*f**2 + 6 Let w(g) be the first derivative of g**4/4 - 2*g**3/3 - g**2 + 2*g + 50. Let k(r) = -r**3 + r**2 + r - 1. Determine 6*k(f) + 3*w(f). -3*f**3 Let k(w) = 1 + 5*w + w**2 - 5 + 3*w**3 + 0*w**3. Let v(x) be the third derivative of -x**6/60 - x**5/60 - x**4/8 + x**3/3 - 47*x**2. Calculate 3*k(a) + 5*v(a). -a**3 - 2*a**2 - 2 Let h(g) = -3*g**3 + 5*g**2 + g + 5. Suppose 5*n - 26 = -z, 19 = 4*n - 2*z + z. Let p(t) = -4*t**3 + 6*t**2 + t + 6. Calculate n*p(i) - 6*h(i). -2*i**3 - i Let u(d) = -d - 17. Let c(y) = -3*y - 50. Determine 4*c(b) - 11*u(b). -b - 13 Let p(w) = -13*w**3 + 8*w**2 - 8. Let a(x) = 3*x**3 - 2*x**2 + 2. What is 9*a(l) + 2*p(l)? l**3 - 2*l**2 + 2 Let f(o) = -5 - 2*o**3 - 7*o**2 + 2 - 3*o - 4*o**2 + 7*o**2. Let w(j) = -3*j**3 - 5*j**2 - 4*j - 4. Calculate 4*f(k) - 3*w(k). k**3 - k**2 Let n(j) = -5*j - 6. Suppose 3*s = -2 + 5, b + s = 12. Let r(z) = 2*z + 2. Calculate b*r(w) + 4*n(w). 2*w - 2 Let q(w) = -4*w - 17*w**2 - w + 17 - 12*w. Let d(b) = -6*b**2 - 6*b + 6. Suppose -u + 163 = 167. Determine u*q(c) + 11*d(c). 2*c**2 + 2*c - 2 Suppose -m = 2 - 5. Let v(t) = 0 - 2*t**2 + t + 0*t - m - 1. Let c(x) = 10*x**2 - 5*x + 21. Let a be (-5 + (2 - -1))*1. What is a*c(f) - 11*v(f)? 2*f**2 - f + 2 Let o(c) = -21*c**3 - 2*c**2 - 2*c + 2. Let p(l) = 1679*l**3 + 161*l**2 + 161*l - 161. Calculate 161*o(n) + 2*p(n). -23*n**3 Let b(n) = -2*n**3 - 19*n**2 - 10*n - 6. Let y be b(-9). Let w(z) = 6*z**2 + 5*z. Let p(q) = 3*q**2 + 3*q. Suppose m + 2*m = -15. Determine m*p(s) + y*w(s). 3*s**2 Let u(c) = -c**2 - 2. Let h(a) = -2. Let t(o) = -o - 14. Let y be t(-12). Determine y*u(p) + 3*h(p). 2*p**2 - 2 Let u(t) = -3*t**2 - 4*t + 3. Let r(s) = 3*s**2 + 3*s - 2. Suppose -2*n - 2*z = 10, -8 = n + 2*z - 0*z. Determine n*u(b) - 3*r(b). -3*b**2 - b Let r(b) = -7*b + 4. Let k(d) = 3*d - 2. Calculate -13*k(p) - 6*r(p). 3*p + 2 Let o(j) be the second derivative of -j**3/6 + 2*j - 3. Let x(w) = -3*w - 3. Calculate -4*o(s) + x(s). s - 3 Let y(u) = u**2 - 1. Let c(s) = s**2. Determine 2*c(r) - y(r). r**2 + 1 Let c(i) = 16*i**3 + 11*i**2 + 2*i - 7. Let b(t) = 8*t**3 +
{ "pile_set_name": "DM Mathematics" }
= 2*w + 24. Let q be y(-7). What is the first derivative of k - 2*k + q - 9 + c*k wrt k? -1 Let f = 7 + -2. Suppose -2*g + 5 = -4*x - 11, 5*g + f = -5*x. Find the third derivative of 4*k**2 - 3*k**g + 0*k**2 + 2*k**6 wrt k. 240*k**3 Let m(z) = -51*z**4 + 11*z**2. Let h(k) = 34*k**4 - 7*k**2. Let s(r) = -8*h(r) - 5*m(r). What is the third derivative of s(y) wrt y? -408*y Let l(b) = 3*b**3 + 3*b**2 + 15*b. Let x(d) = -2*d**3 - 4*d**2 - 15*d. Let u(a) = 4*l(a) + 3*x(a). What is the second derivative of u(v) wrt v? 36*v Suppose s = 4*s. What is the first derivative of 2*a**3 - 1 + 0*a**3 + s wrt a? 6*a**2 Let u(q) = q - 1. Let n(j) be the first derivative of 2*j**3/3 - 3*j**2 + 5*j + 2. Let o(c) = -n(c) - 6*u(c). Differentiate o(k) with respect to k. -4*k Find the third derivative of 5*u - u + 29*u**2 - 4*u + 34*u**4 wrt u. 816*u Let w(y) be the first derivative of -3*y**2/2 + 6*y + 3. Differentiate w(p) wrt p. -3 Let g(q) = 2*q - 5. Let f(v) = v. Let a(l) = 4*f(l) + g(l). Differentiate a(t) wrt t. 6 Find the second derivative of -l**3 - 4*l**3 + 11*l - 2*l**3 wrt l. -42*l Find the third derivative of -37*q**5 - 34*q**2 + 4*q**6 + 37*q**5 wrt q. 480*q**3 Let m(q) be the second derivative of 0*q**2 + 0*q**4 - 1/10*q**6 + 3*q + 0*q**5 + 0 - 1/6*q**3. Find the second derivative of m(c) wrt c. -36*c**2 Let m(z) be the third derivative of 2*z**2 + 0 - 1/8*z**4 + 0*z + 2/3*z**3. What is the derivative of m(c) wrt c? -3 Let a(c) = 1 - 5*c - c**2 - 1. Let k be a(-4). What is the first derivative of -k - o + 2*o + 0*o wrt o? 1 Let s(q) be the first derivative of -5*q**4/4 - 5*q**2/2 - 2. What is the second derivative of s(h) wrt h? -30*h Let r be 1*4*(-4 + 2). Let z(q) = q**3 + 7*q**2 - 8*q + 3. Let b be z(r). What is the first derivative of 0*i**3 + 0 + 0*i**b - 3*i**3 - 1 wrt i? -9*i**2 Let l(m) = 13*m - 3*m + 1 + 2. Let z(d) = 29*d + 8. Let q(x) = -17*l(x) + 6*z(x). What is the derivative of q(u) wrt u? 4 Find the first derivative of -7 - 11*u - 1 - 4 + 1 wrt u. -11 Let m = 4 - 3. Let p = 3 - m. Differentiate -1 + p*a**4 + 0*a**2 + 0*a**2 with respect to a. 8*a**3 Let f(h) = h**3 - h. Let z be ((-36)/15 + 3)*5. Let d(q) = -3*q**5 + 3*q**3 + 5*q**2 - 3*q. Let l(r) = z*f(r) - d(r). Find the third derivative of l(c) wrt c. 180*c**2 Let i(c) = c**2 - c. Let q be i(2). What is the second derivative of -2*r + r**5 + r**5 + 3*r + q*r wrt r? 40*r**3 Let q(x) be the second derivative of -x**7/7 + 2*x**4/3 - x**2/2 + 8*x - 2. What is the third derivative of q(i) wrt i? -360*i**2 What is the third derivative of -11*t**2 + 0*t**4 + 6*t**4 + 7*t**4 wrt t? 312*t Let a = 5 - 0. What is the second derivative of p**2 - p + 2*p + 5*p**2 - a*p**2 wrt p? 2 Let u(b) = b**4 - b**3 + b - 1. Let d(v) = 5*v**5 - 2*v**4 + 2*v**3 - 4*v**2 - 2*v + 2. Let j(t) = d(t) + 2*u(t). What is the third derivative of j(l) wrt l? 300*l**2 Let v be -5*(-3)/((-9)/(-6)). Suppose 5*o - 3*x = 2*o + 6, 3*o = -x + v. What is the first derivative of y**2 - o*y**2 + 0 - 1 wrt y? -4*y Let b(x) = 3*x**6 - 4*x**4 - 4*x**3 + 8*x**2. Let c(i) = -i**6 - i**4 - i**3 - i**2. Let r(v) = b(v) - 4*c(v). What is the third derivative of r(u) wrt u? 840*u**3 Find the second derivative of 4*x + 4*x - x + 0*x - 6*x**2 wrt x. -12 Let o(a) = -76*a + 48. Let n(j) = -37*j + 24. Let k(l) = -7*n(l) + 4*o(l). What is the derivative of k(u) wrt u? -45 Let h be 9/2*(-20)/(-15). Find the second derivative of 2*x**2 - 7 + 7 + 3*x**2 + h*x wrt x. 10 Let g(u) = 6*u**3 + u**2 - 6. Let y(k) = -k**6 + k**3 - 1. Let m = 0 + -6. Let q(l) = m*y(l) + g(l). What is the third derivative of q(f) wrt f? 720*f**3 Differentiate -14*z - 138 + 130 - 17*z wrt z. -31 Let c(u) = u**4 - 9*u**3 + 49*u**2 - 9*u. Let d(i) = -i**4 + 4*i**3 - 24*i**2 + 4*i. Let o(t) = 4*c(t) + 9*d(t). Find the third derivative of o(k) wrt k. -120*k Let k(r) be the first derivative of 2*r**2 + 5*r - 13. What is the first derivative of k(j) wrt j? 4 Let t(d) be the third derivative of 0*d**4 + 11*d**2 + 0*d**5 - 1/21*d**7 + 0 + 0*d - 1/3*d**3 + 0*d**6. What is the derivative of t(s) wrt s? -40*s**3 Suppose 5*z + 3*l = 58, -4*l + 23 = z + 8. Let v be z/4 + 1/4. What is the first derivative of 1 - v - 3*h**3 + 4*h**3 wrt h? 3*h**2 Let w(n) = -85*n - 91. Let b(f) = 57*f + 61. Let i(j) = -7*b(j) - 5*w(j). Differentiate i(d) with respect to d. 26 Suppose 8 = 5*u - u. Suppose -2*f + 10 = u. Find the third derivative of -f*n**2 + 0*n**6 + 2*n**2 + 3*n**6 wrt n. 360*n**3 Let s be (13 + -1)*1/(-2). Let a = 10 + s. Find the third derivative of -q**6 - 2*q**6 + 2*q**2 + a*q**6 wrt q. 120*q**3 Let l = -16 + 22. What is the third derivative of -3*a**2 - 3*a**l + a**6 + 0*a**2 wrt a? -240*a**3 Let d(x) = x**3 - 15*x**2 - x + 19. Let r be d(15). What is the second derivative of -10*m**r + 11*m - m - 3*m wrt m? -120*m**2 Let n(h) be the first derivative of 2*h**3 + 5*h**2/2 - 1. Find the second derivative of n(v) wrt v. 12 Find the first derivative of -13 + 9*x**3 + 11 - 29*x**3 wrt x. -60*x**2 Let q(m) = -69*m**5 + 65*m**2. Let l(a) = -34*a**5 + 32*a**2. Let w(s) = 5*l(s) - 3*q(s). Find the third derivative of w(i) wrt i. 2220*i**2 Suppose 4*z - 3*t - t - 160 = 0, -227 = -5*z - 4*t. Suppose z = 5*g - 12. What is the third derivative of -g*o + 11*o - 2*o**6 + o**2 wrt o? -240*o**3 Find the second derivative of 11*s**2 + 20*s - 4*s - 9*s wrt s. 22 Let f(u) = -120*u**4 - 45*u + 65. Let z(p) = 11*p**4 + 4*p - 6. Let x(q) = -6*f(q) - 65*z(q). What is the second derivative of x(b) wrt b? 60*b**2 Let w(p) be the third derivative of 3*p**7/70 - p**4/4 + 23*p**2. What is the second derivative of w(d) wrt d? 108*d**2 Let u(q) be the first derivative of 0*q + 1/3*q**3 + 4 + 0*q**2 + 3/4*q**4. Find the third derivative of u(s) wrt s. 18 Let c = 4 - -4. What is the second derivative of 4*w + c*w**3 + w + 0*w**3 wrt w? 48*w Let v(l) = 3*l - 1. Let r be v(1). Suppose 4 = r*z - 0*z. What is the third derivative of 3*s**2 + 0*s**4 + s**4 - 5*s**z wrt s? 24*s Let y(t) = t**3 - 5*t**2 + t - 5. Let p be y(5). Let s = p - 0. Find the second derivative of c + 2*c**4 + c + s*c**4 wrt c. 24*c**2 Let n = -14 - -22. Suppose -2*r + 2*h = h - n, h + 14 = 5*r. What is the third derivative of y**3 - 2*y**4 - y**3 - r*y**2 wrt y? -48*y Let c(g) be the first derivative of g**5/30 + g**4/12 - g**2/2 + 4. Let m(z) be the second derivative of c(z). Find the second derivative of m(h) wrt h. 4 Let f(j) = -3*j**4 - 6*j**3 + 14*j + 6. Let z(a) = 3*a**4 + 7*a**3 - 15*a - 7. Let g(q) = 7*f(q) + 6*z(q). What is the second derivative of g(h) wrt h? -36*h**2 Suppose 3*f + 6 = 0, -3*k + 5*f - 3*f = 65. Let m = -4 - k. Find the third derivative of -h**4 - 3*h**2 + m*h**3 - 19*h**3 wrt h. -24*h Let j(g) be the second derivative of -19*g**6/15 - 5*g**4/6 + 4*g. Find the third derivative of j(k) wrt k. -912*k Let d(q) be the first derivative of 5*q**3/3 + 6*q - 12. Differentiate d(y) wrt y. 10*y Let w(j) be the first derivative of 6*j**5/5 - 10*j**3/3 - 8. Find the third derivative of w(p) wrt p. 144*p Let r be 1*3 - (4 + -2). Let v(f) = -4*f - 2. Let i(x) = 1. Let u(w) = r*i(w) - v(w). Find the first derivative of u(k) wrt k. 4 Let k(n) = -2*n**3 - n**2 - n. Let r be k(-1). What is the first derivative of -v**2 + 2 - 4 - r wrt v? -2*v Let r be 4/(-22) + 136/22. Suppose r = 4*t - 10. Find the third derivative of 0*c**2 + c**2 + 4*c**4 - 3*c**t wrt c. 24*c Let n(l) be the third derivative of -l**5/10 + l**4/12 + 6*l**2. Find the second derivative of n(i) wrt i. -12 Let f(u) be the first derivative of -6*u**5/5 - 2*u**2 - 8. Find the second derivative of f(o) wrt o. -72*o**2 Suppose -2*v - 6 + 2 = 0. Let t(w) = -15*w**2 - 15*w. Let b(p) = -7*p**2 - 7*p. Let q(c) = v*t(c) + 5*b(c). What is the second derivative of q(l) wrt l? -10 Let o(i) = 6*i**2 - 27*i + 7. Let u(h) = 3*h**2 - 14*h + 3. Let y(v) = -3*o(v) + 7*u(v). Find the second derivative of y(z) wrt z. 6 Let k(u) be the third derivative of u**8/24 - 7*u**5/60 + 9*u**2. Find the third derivative of k(y) wrt y. 840*y**2 Let a = 121/6 + -20. Let u(f) be the second derivative of -a*f**4 + 0*f**2 + 4*f + 0*f**3 - 1/20*f**5 + 0. What is the third derivative of u(s) wrt s? -6 Suppose 2*o - 11 = -n, -3*o + 9 = n + 2*n. Find the first derivative of o - 2*s - 9*s - 16 + 3*s wrt s. -8
{ "pile_set_name": "DM Mathematics" }
= t + 14343. Suppose -66*q + p = -63*q. Is q a prime number? True Suppose -3*s - 3709 = -5*t, 3*s + 5*t + 95 + 3594 = 0. Suppose -56*f + 54*f = -4396. Let z = f + s. Is z a prime number? False Let x be (2 + 0)*(-3321)/6. Let m be -7*(-5 + -315 - 0)/1. Let h = x + m. Is h composite? True Let i(z) be the third derivative of -377*z**4/8 - 35*z**3/6 + 20*z**2. Let n be i(-9). Is 6/(-4)*n/(-48) composite? False Let a(g) be the first derivative of -41*g**5/24 - g**4/6 + 22*g**3/3 + g + 2. Let u(o) be the third derivative of a(o). Is u(-1) prime? False Let c(w) = -14*w**3 + 8*w**2 + 3*w + 43. Let d(k) = 21*k**3 - 11*k**2 - 5*k - 65. Let i(m) = 8*c(m) + 5*d(m). Is i(-8) a prime number? False Let m = 2767 + -1938. Is -18 - -18 - -1*2*m a prime number? False Let y be -5*(-15)/25 - 4. Let n(x) = 292*x**3 + x**2 - x - 2. Let s be n(y). Let m = 187 - s. Is m a composite number? False Suppose -8755*p + 8772*p - 6584729 = 0. Is p prime? False Suppose -280515 = -5*a - 4*w + 105228, 5*a - 385767 = 4*w. Is a composite? True Let k(d) = -13*d**2 - 4*d - 5. Suppose -4*l - 4*y - 8 = 0, 0 = 5*l + y + 25 - 3. Let s(z) = 13*z**2 + 5*z + 6. Let t(m) = l*k(m) - 4*s(m). Is t(-2) composite? False Let m(i) be the second derivative of -i**4/12 + i**3/2 + 45*i**2/2 + 36*i. Let u be m(8). Suppose 0 = u*z - 1386 - 799. Is z a composite number? True Let u = -96532 - -166563. Is u composite? True Let a(m) = 4*m - 30. Let v be a(8). Let w be ((1 - v) + -1)/1. Is w/9 - 284510/(-90) prime? False Let t(s) = -12*s + 101. Let k be t(8). Let v(j) = 89*j**2 - 26*j + 4. Is v(k) a prime number? True Let t(j) = 1182*j + 3575. Is t(81) composite? False Is ((-5)/(-45))/(4/3088548) prime? True Let p = 815 + -806. Suppose -5*b - 20 = 0, -2*n - 4*b = -p*b - 18904. Is n prime? False Let n be ((-3)/(-12))/(1/4). Let r = 1 + n. Is (72/16 - 4) + 5265/r prime? True Suppose s = -2*d - 224, -d - 381 = 2*s + 55. Is 9/(s/6) + 2837/4 prime? True Let a = 321 - 266. Is (a/110)/(2/53468) composite? False Let g = 9459447 + -4880696. Is g a composite number? False Suppose 4*r - 799818 = 2*m, -127*m = -4*r - 129*m + 799790. Is r a prime number? False Let c = -84 - -84. Suppose 2*z - 19 - 9 = c. Is (133/z)/(3/318) a composite number? True Let h(t) = 803022*t - 1745. Is h(1) prime? True Suppose 2*q - 810898 = -12*v, 5*q - 26*v - 2027420 = -21*v. Is q a prime number? False Let b = -22 - -26. Suppose -5*z - 14 + b = 0. Is 35510/18 + (z - (-20)/9) a composite number? False Let h(f) = -f**3 + 60*f**2 + 2*f - 19. Is h(30) composite? True Let n = -27 + 51. Let l = -7382 - -7592. Suppose -l = -6*r + n. Is r composite? True Suppose 7*h - 9048 - 18868 = 0. Suppose -3*b + 11971 = -4*m, b - 5*m - h = -6*m. Is b prime? True Suppose -3*z - q + 14 = 0, 0 = -5*z + 5*q - 5 + 35. Let a be 3/(-2 + z) + -2 + 0. Is 1/((a + 2)/((-2577)/(-3))) composite? False Suppose -q - 65*z + 64*z = -84267, -5*q + 4*z + 421299 = 0. Is q a composite number? False Let y(u) = 361*u**2 + 74*u + 842. Is y(-12) prime? False Suppose 7*g - 180527 = -21473. Suppose -2*q - 10 = -4*l, 2*q - 25 = -4*l + q. Suppose 11*k - g = l*k. Is k a prime number? False Let c be (-6)/(-8) + (-225)/12 + 13. Let o(r) = -56 + 16 - 73*r - 374*r. Is o(c) a composite number? True Suppose 5*x - g - 16 = 0, 4*x + 0*x = 2*g + 14. Suppose x*i - 3380 = -5*p, 0 = -3*i - 2*p + 5*p + 3420. Is i a prime number? False Suppose 3*t = -420 - 3105. Let i = 5788 + t. Is i a composite number? True Suppose 46*y - 41*y = 265905. Suppose 14*c = y + 3295. Is c a composite number? True Suppose -5*j + n - 667 = 3*n, 527 = -4*j + 5*n. Let o = -129 - j. Suppose o*f - 3*f = 3*b - 2863, -5*b = -f - 4773. Is b prime? False Let u(j) = j**2 + 7*j + 8. Suppose 3*c + 20 = c. Let m be u(c). Suppose 0 = -m*n + 33*n + 2265. Is n composite? True Suppose -4*l - 2*b = -16, 4*l - 7*b + 2*b = 44. Suppose 3435 = l*k - 8907. Suppose -5*z - 2*j + k = j, -2*j + 8 = 0. Is z composite? False Suppose 0 = -k - y + 7515, 0*k - 3*y = -2*k + 15050. Let x = k - 14333. Let w = 12483 + x. Is w a prime number? True Suppose -3*i - 5*o + 301283 = -47334, -o - 348629 = -3*i. Is i a composite number? True Let a(y) = -y**2 + 25*y + 143. Let k be a(29). Suppose 3*i + 2*m - 13611 = 0, -k*i - m = -28*i + 4532. Is i a composite number? True Suppose z + s + 2 = 0, 3*s = -3*z - 2*s - 16. Suppose m - 5*q - 9 = 0, -2*m + 6*q - q + z = 0. Is (4/m)/((-12)/1206) a composite number? False Let r be (-624)/(-9) + (-12)/(-18). Let w(x) = -207*x - r*x + 53 - 19. Is w(-7) a prime number? True Suppose 4*w + 117113 = -4*h + 420837, -5*h - 303760 = -4*w. Is w prime? False Let n = -73029 - -177598. Is n composite? True Let g be 10 + (2/(-2) - -5 - 7). Suppose 0 = g*c + 6871 - 124954. Is c prime? False Let f(k) be the second derivative of 31*k - 562/3*k**3 - 13/2*k**2 + 0. Is f(-3) a composite number? False Suppose p = -i, 2*p + 28 = 2*i + 3*i. Suppose 4*q = i*r - 2*r, 4*r = 4*q. Suppose 5*a - 1213 - 1222 = q. Is a a prime number? True Suppose k + 27 = -5*b, -b + 3 = -4*k - 0*b. Let v be k*(-5 + (-3)/(-1)). Suppose g + l - 1864 - 843 = 0, -4*l = -v*g + 10828. Is g composite? False Let m(s) be the first derivative of -30*s**2 + 9*s + 5. Let g be m(9). Let j = g + 1032. Is j prime? False Let a = 158 - 112. Let h(l) = a*l + 651*l + 646*l - 3 - 250*l. Is h(2) a prime number? False Let q(v) = 15*v**3 + v**2 - 2*v. Let y be q(1). Suppose l = -5*n - 6, 4*l + 5*n = -y - 10. Is (-1281)/l + -3 + 5/2 a prime number? False Let y(c) = 4*c**2 + 45*c + 13. Let o be y(-11). Suppose -4*x + 11 = -4*j + 3, 0 = 5*x + o*j - 10. Suppose 5*r + 6*v - 2241 = 7*v, x*r = 5*v + 878. Is r prime? True Let t(k) = 12*k**3 + 2*k**2 - 6*k + 8. Let n be t(2). Suppose 96*w - n*w + 22844 = 0. Is w composite? False Let x be (28/8)/(2/188). Let r be (-194)/(-6) - (-4)/6. Suppose -4*l = -x + r. Is l composite? True Suppose -166*z - 27*z + 24047993 = 0. Is z prime? True Let t = -2494 - 538. Let j = t - -1627. Let q = 2499 + j. Is q a composite number? True Let l = -29 - -31. Suppose -2*y + 6 = -l. Is ((-6)/y)/(33/(-11198)) prime? True Let d = 381 - 792. Let t = d + 2534. Is t a prime number? False Suppose -2487 - 4777 = -2*d. Let g = d - 2209. Suppose -3*z + q + 2860 = 0, 4*z - 3*q = 2392 + g. Is z a composite number? False Suppose 5*q + 1680 - 4889 = w, -4*w = -3*q + 12938. Suppose -10338 = -3*p + 12396. Let u = p + w. Is u composite? False Let y(t) = -137*t - 190. Let i(r) = r + 1. Let d(p) = -3*i(p) + y(p). Is d(-7) a prime number? True Suppose 0 = -m - 29177 + 125999 + 45835. Is m a composite number? False Is 1*356694 + ((-220)/330)/(4/6) composite? False Let k = 850 + -592. Suppose -6*c + 23839 = 25*c. Let r = c - k. Is r a prime number? False Let h = 1911 + -908. Let n = h - -640. Is n a composite number? True Suppose 2*i - 6 - 48 = 0. Suppose 4*u = -4*s + 4, 5*u + 15*s = 12*s + 11. Suppose 179 = u*k + i. Is k prime? False Suppose 0 = r - 3*u - 3242, -3*u + 5573 = 3*r - 4141. Suppose -r = -l + 2*q, -4*l + 6476 = -2*l - 3*q. Is l composite? True Let p(k) = -689*k + 1585. Is p(-14) composite? True Let t be 79652/((-2)/(-12)*60/40). Suppose -13*w + t = 3*w. Is w composite? False Let f = -24811 - -39761. Suppose 0 = -3*j + f + 11885. Suppose -4*k - 2*i + 1795 = -j, -5*k - 2*i = -13423. Is k composite? False Let r be -4 - (-4 + 10/(-5)). Suppose -4*x + o + 4555 = -2*o, -2280 = -r*x + 2*o. Is x a prime number? False Suppose 5*g - 22 = u, -3*g = 4*u - 0*u - 27. Suppose d + 2315 = 4*d - v, v = g*d - 3857. Suppose 28*b = 27*b + d. Is b prime? False Let v = 340140 - 63685. Is v a prime number? False Let h(y) = -2*y**3 - 6*y**2 + 27*y - 10. Suppose p - 73 = -82. Is h(p) composite? False Let v(m) = 36*m - 211. Let w be v(6). Suppose 2*a + w*d - 16824 = 0, 4*a - 33630 = -2*d + d. Is a a composite number? True Let f = -45 + 52. Suppose 5*l - 24356 = s, 9724 = 2*l + 2*s - f*s. Suppose -4*k - 4*r + l = 0, -r - 1208 = 3*k - 4*k. Is k composite? False Let x(w) be the first derivative of 354*w**2 - 23*w - 47. Is x(9) composite? True Suppose -3*b + 2*b = -3*r + 10, -5*b - 17 = -4*r. Suppose 0 = 9*d - 24*d - 510. Let z = r - d. Is z composite? False Suppose 15812 = 64*z - 63*z. Suppose -4*q + 5*o = -z, 2*q + 4*o - 7936 = -o. Suppose -q = 3*v - 5*v. Is v a composite number? False Let a be (21/7)/(3/19). Sup
{ "pile_set_name": "DM Mathematics" }
q**5 + 2*q**w. What is the second derivative of n(u) wrt u? -2 Find the first derivative of 5*w**3 - 1 - 2 + 14*w**3 - 11 wrt w. 57*w**2 Find the third derivative of -166*o - 15*o**2 + 166*o + 17*o**4 wrt o. 408*o Find the third derivative of q**2 - 8*q**4 + 0*q**2 + 7*q**2 wrt q. -192*q Let v(k) be the third derivative of -3*k**7/35 + 17*k**4/12 - 15*k**2. Find the second derivative of v(d) wrt d. -216*d**2 Let i be 4 - (1/(-3) + (-28)/(-21)). Let f(g) be the first derivative of 0*g**2 + 3/5*g**5 + 2*g - i + 0*g**3 + 0*g**4. Find the first derivative of f(j) wrt j. 12*j**3 Let i = 5 - 3. Suppose -2*u - 4 + 6 = 0. What is the third derivative of -1 + 2*z**i - z**5 + u wrt z? -60*z**2 Let r(g) = -3*g**2 + 2*g + 6. Let n(s) = s**2 - s - 1. Let i(f) = 2*n(f) + r(f). Differentiate i(w) wrt w. -2*w Let c(p) be the second derivative of 3*p**5/2 - p**3/2 - p**2 + 12*p - 2. Find the second derivative of c(a) wrt a. 180*a Let i(q) = 66*q**4 - 27*q**3 + 12*q**2 - 27*q. Let h(r) = -5*r**4 + 2*r**3 - r**2 + 2*r. Let m(d) = -27*h(d) - 2*i(d). Find the third derivative of m(u) wrt u. 72*u Let s(p) = -p**2 + 2*p - 3. Let d(z) = 3*z - 2. Let k(h) = -3*d(h) + 2*s(h). What is the second derivative of k(g) wrt g? -4 Let a(s) be the second derivative of 13*s**4/12 - 10*s**2 - 32*s. Differentiate a(b) wrt b. 26*b Suppose 0 = -2*x - 8, 2*g - 4*g - 3*x = 8. Find the second derivative of -t**2 - 2 + g + 2*t - 2*t**2 wrt t. -6 Let u(y) be the second derivative of -47*y**6/30 + 27*y**2 - 34*y. Differentiate u(g) with respect to g. -188*g**3 What is the first derivative of 0 - 4 + 16*l - 2 + 0 wrt l? 16 Let p(m) be the second derivative of 5*m**4/24 - 5*m**3/6 - m**2 + 4*m. Let g(r) be the first derivative of p(r). Differentiate g(u) with respect to u. 5 Let t(d) be the first derivative of -3*d**5/40 + d**4/12 + d**3/3 + 5. Let k(i) be the third derivative of t(i). Differentiate k(h) wrt h. -9 Let a(j) be the second derivative of 9*j**5/10 + 2*j**3 + 4*j. Find the second derivative of a(g) wrt g. 108*g Let o(n) be the first derivative of 1/3*n**6 + 4 + 0*n**4 + 0*n + 0*n**2 - 2/3*n**3 + 0*n**5. Find the third derivative of o(w) wrt w. 120*w**2 Let h = 4 + -1. Let l(u) be the third derivative of -2*u**2 - 1/24*u**4 - 1/60*u**6 + 0*u + 0*u**5 + 0 + 0*u**h. Find the second derivative of l(n) wrt n. -12*n Let d(m) be the second derivative of -1/12*m**4 + 0 + 0*m**2 + 0*m**5 - m + 0*m**3 - 1/10*m**6. Find the third derivative of d(b) wrt b. -72*b Let f(j) be the second derivative of 4*j**6/15 + 3*j**2/2 + 2*j. Find the first derivative of f(v) wrt v. 32*v**3 Let r(i) be the first derivative of i**7/42 - i**3/6 - 3*i + 1. Let p(u) be the first derivative of r(u). What is the second derivative of p(z) wrt z? 20*z**3 Suppose -2*r + 2*t + 15 - 1 = 0, -4*r + 5*t + 30 = 0. What is the second derivative of 2*y - 2*y**5 + 3*y**r + y wrt y? 20*y**3 Suppose -2*m - 2*c + 10 = -0*m, -3*c = -3*m + 9. Find the third derivative of -9*y**2 - y**m + 7*y**2 - 2*y**4 wrt y. -72*y Let q be (-14)/(-63) - (-32)/18. Find the third derivative of -b**2 - b**2 + b**3 + 3*b**q wrt b. 6 Let s be 2 + (-6)/(-21) + (-50)/28. Let j(z) be the second derivative of z + 0 - 1/4*z**4 + s*z**2 + 0*z**3. Differentiate j(w) with respect to w. -6*w Let r be (1 - 4)/(1/(-1)). What is the third derivative of 0*k**2 + r*k**2 + 3*k**4 - 2*k**4 wrt k? 24*k Let l(o) = o**3 + 6*o**2 + 3*o - 5. Let q be l(-5). What is the second derivative of -10*h**3 - 10*h**5 + 4*h**q + 10*h**3 + 4*h wrt h? -120*h**3 Suppose 0 = 6*i - 19 - 5. Find the second derivative of 4*j**4 - 4*j + 4*j**4 + 2*j - 2*j**i wrt j. 72*j**2 Let p(n) = n + 6. Let d(s) = -2*s - 6. Let m(o) = 3*d(o) + 4*p(o). What is the first derivative of m(f) wrt f? -2 Let g(a) = 5*a**4 + 6*a**3 - 6*a**2 - a. Let j(v) = v**3 - v**2 + v. Let m(x) = g(x) - 6*j(x). Find the second derivative of m(o) wrt o. 60*o**2 What is the second derivative of -7*l + 1 - 45*l**4 + 0*l**3 + 0*l**3 + 5*l wrt l? -540*l**2 Let c(n) be the second derivative of -n**5/10 + 8*n**3/3 + 35*n. What is the second derivative of c(g) wrt g? -12*g Suppose t - 15 = -4*k - 2*t, -2*t = -k - 10. What is the derivative of 1 + 7*v - v - 2*v + k wrt v? 4 Let b(v) = -3*v - 4. Let m be b(-2). Find the second derivative of m*i**3 - 7*i**3 - 5*i + 0*i + i wrt i. -30*i Let g(v) = -5*v**4 - 3*v**3 - 3*v**2 + 48. Let y(l) = -10*l**4 - 7*l**3 - 7*l**2 + 96. Let j(k) = -7*g(k) + 3*y(k). Find the first derivative of j(t) wrt t. 20*t**3 Suppose f = -4*f + 25. Suppose 0*o + 5*o - 2 = -4*m, -f*m = -5*o + 20. What is the third derivative of -o*y**5 + 4*y**5 - 2*y**5 - y**5 - y**2 wrt y? -60*y**2 What is the second derivative of 0*c - 7*c**2 - 2*c + 5*c + 6*c wrt c? -14 What is the second derivative of -12 + 9*l + 80*l**2 - 6*l - 117*l**2 wrt l? -74 Suppose 0 = 5*k + 2 - 22. Find the second derivative of 2*x + 3*x - 4*x**4 - k*x wrt x. -48*x**2 Suppose -6 = -3*i - s + 5, 2*i - s = 9. What is the first derivative of 0 + 2*l**2 - 2 - 7 + i wrt l? 4*l Let c = -37 + 41. Let m(x) be the third derivative of 0 + 0*x + 0*x**3 + 0*x**c - 1/120*x**6 + 1/30*x**5 + x**2. What is the third derivative of m(j) wrt j? -6 Let z(t) be the third derivative of -t**6/15 - 13*t**5/60 + 3*t**2. What is the third derivative of z(h) wrt h? -48 Let f(w) = -15*w**3 - w**2 + 3*w. Let q(x) = -x**3 - x**2. Let g(z) = f(z) - q(z). What is the second derivative of g(u) wrt u? -84*u Find the second derivative of -f**2 + 13*f + 3*f**2 + 8*f**2 + 3*f**2 wrt f. 26 Find the second derivative of -238 - 48*o**3 + 238 + 13*o wrt o. -288*o Let w be 3 + (-4)/(-2 + 0). What is the third derivative of -w*l**5 + 3*l**5 + 3*l**2 - l**2 + 0*l**2 wrt l? -120*l**2 Find the third derivative of -2*u**3 - 8*u**6 + 2*u**2 + 0*u**2 + 2*u**3 wrt u. -960*u**3 Let z(y) = -3*y**4 - 3. Let k be ((-4)/(-5))/((-6)/(-15)). Let p(n) = -7*n**4 - 7. Let q(d) = k*p(d) - 5*z(d). What is the first derivative of q(a) wrt a? 4*a**3 Let i(r) = r**2 - 11*r + 15. Let c be i(10). What is the second derivative of 0*y - 4*y**5 + 10*y**5 + 2*y + 3*y**c wrt y? 180*y**3 Find the third derivative of 2*w**2 + 8*w**3 - 10*w**3 - 2*w**3 wrt w. -24 Suppose 7*z = 4*z + 15. Let a(h) = -h**3 - 8. Let y(v) = v**3 + 7. Let n(r) = z*y(r) + 4*a(r). Differentiate n(w) wrt w. 3*w**2 Let f(i) be the first derivative of -3*i**2/2 + 3*i - 9. Differentiate f(q) wrt q. -3 Let n be (3 - 2 - 2)/1 - -3. Let b(j) be the first derivative of -1/3*j**3 - 2 - 1/4*j**4 + 0*j**n + 0*j. Find the third derivative of b(q) wrt q. -6 What is the third derivative of 9*f**2 + 2*f**4 - 3*f**4 - 15*f**2 wrt f? -24*f Let g(s) = s - 1. Let r(o) = -2*o - 7. Let z(b) = 3*g(b) - r(b). Differentiate z(l) wrt l. 5 Let n be (0 - 1)*(-2 + -8). Find the second derivative of -n*t**5 + 14 - 2*t - 14 + t wrt t. -200*t**3 Let c(s) = -2*s**3 - 4*s - 5. Let u(a) = a + 1. Let k = -12 - 2. Let j = -10 - k. Let o(m) = j*u(m) + c(m). What is the derivative of o(p) wrt p? -6*p**2 Let i(v) be the third derivative of -v**8/280 - 5*v**4/24 - v**3 - 6*v**2. Let g(c) be the first derivative of i(c). Differentiate g(r) wrt r. -24*r**3 Find the third derivative of -80 + 80 - 9*a**2 + 9*a**5 wrt a. 540*a**2 Find the first derivative of -2 + 1 - 2 - 8 - 10*y**4 wrt y. -40*y**3 Let w(p) be the second derivative of 0*p**3 + 0*p**4 + 0 + 1/4*p**5 + 3*p + 5/2*p**2. Differentiate w(k) with respect to k. 15*k**2 Let s(f) be the second derivative of 0*f**4 - f + 0*f**2 + 0*f**5 - 1/6*f**3 - 1/30*f**6 + 0. Find the second derivative of s(g) wrt g. -12*g**2 Let r = 5/2 + -7/3. Let s(k) be the third derivative of -r*k**3 + 1/12*k**4 + 0*k + 0 + 3*k**2. Find the first derivative of s(v) wrt v. 2 Let v(r) be the first derivative of -r**9/252 + r**5/30 + r**2/2 - 1. Let f(n) be the second derivative of v(n). What is the third derivative of f(a) wrt a? -240*a**3 Suppose 3*q = 5*q + 4, -m = 3*q + 7. Let y be 7 + -2 + -1 + m. What is the first derivative of -b**2 + 1 + 0*b**2 + y*b**2 wrt b? 4*b What is the second derivative of 4*p**2 - 15*p + p**2 + 11*p + 0*p**2 wrt p? 10 Suppose 2*s - 7*s = 15. Let p = s - -8. What is the third derivative of -v**p + 2*v - v**2 - 2*v wrt v? -60*v**2 Let v(g) = g**2 + 9*g - 11. Let s be v(-10). Let n(b) = 7*b - 2. Let p(l) = -1. Let m(j) = s*n(j
{ "pile_set_name": "DM Mathematics" }
ast common multiple of 205009 and 42? 1230054 Calculate the common denominator of -15/84374 and -59/164. 6918668 Calculate the least common multiple of 298 and 396. 59004 Calculate the lowest common multiple of 18 and 8670. 26010 Find the common denominator of 41/140 and 127/38640. 38640 What is the common denominator of -1/61000 and 93/30500? 61000 What is the common denominator of 139/312 and 59/287781? 2302248 What is the common denominator of 157/378 and 1/4494? 40446 What is the lowest common multiple of 10749 and 64494? 64494 Calculate the common denominator of -49/40302 and 37/114189. 685134 What is the least common multiple of 82604 and 193? 82604 Calculate the common denominator of 41/37530 and 55/3614. 487890 What is the common denominator of -89/373710 and 85/49828? 747420 What is the common denominator of 21/4168 and -119/48? 25008 Calculate the smallest common multiple of 864666 and 55. 4323330 Find the common denominator of -5/212 and 39/229156. 12145268 What is the common denominator of 43/24 and 7/1506? 6024 What is the smallest common multiple of 1704 and 11378? 9694056 Calculate the least common multiple of 171968 and 193464. 1547712 Calculate the lowest common multiple of 1703312 and 1441264. 18736432 Find the common denominator of 73/540 and 61/135. 540 Calculate the smallest common multiple of 201 and 1674. 112158 Calculate the smallest common multiple of 225693 and 175539. 1579851 Calculate the common denominator of -31/26 and -22/15357. 399282 Find the common denominator of 3/3140 and 44/22765. 91060 Calculate the least common multiple of 259392 and 74112. 518784 What is the common denominator of -143/8262 and -8/81? 8262 Calculate the common denominator of -43/149476 and 61/68. 2541092 Find the common denominator of -49/18 and 11/221277. 1327662 Find the common denominator of -107/408576 and -119/24. 408576 What is the common denominator of -43/18084 and 53/20? 90420 What is the common denominator of 41/2135 and 29/5551? 27755 What is the lowest common multiple of 66 and 506? 1518 Calculate the common denominator of 167/45444 and 99/21640. 454440 What is the least common multiple of 27616 and 17260? 138080 What is the least common multiple of 24485 and 145? 710065 Find the common denominator of 45/25372 and -74/209319. 837276 Calculate the least common multiple of 21 and 28386. 198702 Calculate the least common multiple of 24633 and 153. 24633 Calculate the smallest common multiple of 3115 and 89. 3115 Calculate the common denominator of 85/24 and 65/36312. 36312 Calculate the common denominator of 95/6 and 103/187332. 187332 Calculate the common denominator of -45/698312 and 77/4. 698312 What is the common denominator of -137/18936 and -59/243801? 1950408 What is the smallest common multiple of 828786 and 2762620? 8287860 Calculate the common denominator of -31/220655 and 33/34. 7502270 What is the lowest common multiple of 370 and 700? 25900 What is the common denominator of -17/55 and 103/2180? 23980 Find the common denominator of -57/17888 and 107/860. 89440 Calculate the lowest common multiple of 1002829 and 2. 2005658 What is the smallest common multiple of 252875 and 4046? 505750 What is the smallest common multiple of 11583 and 1089? 127413 What is the smallest common multiple of 66660 and 726? 733260 Calculate the least common multiple of 1156793 and 315489. 3470379 What is the lowest common multiple of 100 and 16? 400 What is the least common multiple of 35805 and 10230? 71610 What is the smallest common multiple of 30358 and 3225? 2276850 What is the common denominator of -61/1408 and -67/95? 133760 What is the smallest common multiple of 12546 and 384? 802944 What is the common denominator of 179/8520 and 9/142? 8520 Calculate the common denominator of 62/627 and -67/771. 161139 What is the smallest common multiple of 41762 and 23864? 167048 Calculate the common denominator of -39/1040872 and -95/297392. 2081744 What is the common denominator of 56/69 and -36/1000339? 3001017 What is the common denominator of -53/9399 and 71/18798? 18798 Calculate the common denominator of -58/9443 and 36/15407. 292733 Calculate the lowest common multiple of 109896 and 2280. 549480 What is the common denominator of -185/85008 and 41/56672? 170016 Calculate the least common multiple of 34408 and 102. 103224 Calculate the smallest common multiple of 36869 and 28. 147476 Calculate the common denominator of -133/39168 and -47/2304. 39168 Calculate the common denominator of -104/165 and -29/3. 165 What is the common denominator of 71/232408 and 17/3762? 2091672 Calculate the common denominator of -1/32 and 53/29088. 29088 Calculate the smallest common multiple of 233470 and 210123. 2101230 What is the smallest common multiple of 2277 and 18630? 204930 What is the common denominator of 1/56 and -37/1119? 62664 What is the lowest common multiple of 399870 and 14? 2799090 What is the smallest common multiple of 870 and 1885? 11310 Calculate the lowest common multiple of 1120 and 2352. 23520 Calculate the common denominator of -7/320307 and -25/49278. 640614 Calculate the common denominator of -107/3340 and 29/160. 26720 What is the least common multiple of 15 and 52795? 158385 What is the common denominator of 89/70 and 85/19376? 96880 What is the smallest common multiple of 45008 and 11446? 2655472 Find the common denominator of 85/846 and 25/72. 3384 Calculate the lowest common multiple of 130572 and 72. 261144 What is the least common multiple of 336 and 18? 1008 Find the common denominator of 71/4 and -75/68906. 137812 What is the least common multiple of 70 and 43099? 430990 What is the smallest common multiple of 20 and 11290? 22580 What is the least common multiple of 546180 and 910300? 2730900 What is the lowest common multiple of 10 and 1276? 6380 What is the common denominator of 121/20 and -7/124190? 248380 Calculate the lowest common multiple of 9828 and 3213. 167076 What is the least common multiple of 9936 and 3312? 9936 What is the common denominator of 113/30 and 17/25790? 77370 Calculate the common denominator of -29/38 and -35/105374. 105374 What is the smallest common multiple of 54309 and 90? 1629270 What is the least common multiple of 79068 and 1188? 711612 What is the least common multiple of 1215968 and 22594? 13375648 Calculate the least common multiple of 30582 and 132522. 397566 Calculate the smallest common multiple of 301 and 17458. 17458 What is the common denominator of -22/171 and 50/817? 7353 What is the smallest common multiple of 850 and 408? 10200 What is the common denominator of -37/28932 and -17/216990? 433980 Calculate the smallest common multiple of 11 and 396065. 4356715 What is the common denominator of 52/12515 and 3/10? 25030 What is the common denominator of -127/4272 and -29/14328? 2550384 What is the common denominator of -48/85 and 111/26980? 458660 What is the common denominator of -23/277615 and -8/166569? 832845 Calculate the least common multiple of 1070 and 80. 8560 What is the smallest common multiple of 1505 and 68671? 2403485 Calculate the lowest common multiple of 6685 and 3290. 628390 What is the common denominator of -23/54590 and 79/32754? 163770 Calculate the common denominator of -29/43008 and -13/6144. 43008 What is the common denominator of -29/1584636 and -121/120? 15846360 What is the lowest common multiple of 28458 and 10? 142290 What is the common denominator of -17/200 and -97/400? 400 What is the lowest common multiple of 11 and 2132? 23452 Find the common denominator of 79/36 and 101/1172. 10548 Find the common denominator of -44/65 and -48/55159. 275795 What is the common denominator of 42/5447 and -38/3771? 49023 What is the lowest common multiple of 8 and 191? 1528 Calculate the common denominator of -21/18832 and -95/936892. 3747568 Calculate the lowest common multiple of 87232 and 145. 436160 Find the common denominator of 87/79772 and -65/13986. 2153844 What is the lowest common multiple of 2 and 392? 392 What is the smallest common multiple of 845 and 48841? 244205 What is the smallest common multiple of 3070 and 62628? 313140 What is the common denominator of 139/60 and 59/14844? 74220 Calculate the least common multiple of 20859 and 97342. 292026 W
{ "pile_set_name": "DM Mathematics" }
{j: 4, l: 3, f: 2, y: 1, d: 1, a: 7}. What is prob of picking 1 y and 1 l? 1/51 Three letters picked without replacement from yxxybxx. What is prob of picking 2 x and 1 y? 12/35 Four letters picked without replacement from pvpvpppvpp. What is prob of picking 1 v and 3 p? 1/2 Calculate prob of picking 1 u and 1 l when two letters picked without replacement from ulmyurmx. 1/14 Calculate prob of picking 1 y and 2 d when three letters picked without replacement from dfffddffffdfffdddffy. 7/380 Two letters picked without replacement from exxeexx. What is prob of picking 2 x? 2/7 Calculate prob of picking 1 p and 1 o when two letters picked without replacement from {j: 1, v: 3, p: 2, o: 4, s: 2}. 4/33 What is prob of picking 1 i and 2 g when three letters picked without replacement from ggiiigii? 15/56 What is prob of picking 1 e and 1 q when two letters picked without replacement from uelqlxq? 2/21 What is prob of picking 2 q when two letters picked without replacement from {q: 4}? 1 Two letters picked without replacement from ppjjujjpjppu. Give prob of picking 2 j. 5/33 Calculate prob of picking 1 o and 1 n when two letters picked without replacement from jiojnuw. 1/21 Calculate prob of picking 2 k, 1 y, and 1 n when four letters picked without replacement from {k: 2, a: 2, y: 2, n: 2}. 2/35 Two letters picked without replacement from {d: 14, o: 5}. What is prob of picking 2 d? 91/171 Calculate prob of picking 2 p when two letters picked without replacement from mpmpmmppmmpmm. 5/39 Calculate prob of picking 1 n, 1 y, and 1 d when three letters picked without replacement from nennwynyynd. 1/11 Two letters picked without replacement from jkjjxjjjjjjkjd. Give prob of picking 2 j. 45/91 What is prob of picking 3 s and 1 d when four letters picked without replacement from {n: 2, d: 7, s: 9}? 49/255 Three letters picked without replacement from {x: 1, c: 5, v: 2, l: 2, p: 1, b: 2}. What is prob of picking 1 b and 2 v? 1/143 Calculate prob of picking 1 o and 1 c when two letters picked without replacement from qvrsvvvcsocs. 1/33 Calculate prob of picking 1 h and 2 p when three letters picked without replacement from {p: 4, h: 1, w: 2}. 6/35 Calculate prob of picking 1 f, 1 g, and 1 j when three letters picked without replacement from gssgpjpopppspgppfp. 1/272 Three letters picked without replacement from {a: 4, q: 1, z: 1, y: 1, i: 6}. What is prob of picking 1 z and 2 i? 15/286 Two letters picked without replacement from {v: 2, r: 1}. Give prob of picking 1 v and 1 r. 2/3 Three letters picked without replacement from pppcccpcpp. Give prob of picking 3 c. 1/30 Calculate prob of picking 1 r and 2 q when three letters picked without replacement from qqvrrrqqqv. 1/4 Calculate prob of picking 3 k when three letters picked without replacement from nnnnknnnknnnnnnnknnn. 1/1140 Two letters picked without replacement from {w: 2, z: 1, c: 2, m: 2, k: 1, f: 7}. Give prob of picking 1 f and 1 c. 2/15 Four letters picked without replacement from mgulxkgm. What is prob of picking 1 k, 1 u, 1 g, and 1 l? 1/35 Four letters picked without replacement from {s: 5, e: 1, j: 3, i: 7, c: 3}. What is prob of picking 1 i, 2 c, and 1 e? 7/1292 What is prob of picking 2 a and 2 w when four letters picked without replacement from wwwwaawawawwwwwwwwww? 48/323 What is prob of picking 1 j and 1 g when two letters picked without replacement from {j: 3, g: 1, c: 2, f: 6}? 1/22 Two letters picked without replacement from ynyuyyynyyuyuuun. What is prob of picking 2 n? 1/40 Calculate prob of picking 4 d when four letters picked without replacement from {d: 19, j: 1}. 4/5 Calculate prob of picking 1 o, 1 l, and 1 v when three letters picked without replacement from ylowyoboyybovooy. 3/280 Calculate prob of picking 2 j when two letters picked without replacement from jzzj. 1/6 Calculate prob of picking 1 m and 1 w when two letters picked without replacement from {m: 1, x: 4, w: 3}. 3/28 Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {y: 15, l: 4}. 20/57 What is prob of picking 1 t and 1 w when two letters picked without replacement from {a: 2, h: 1, w: 1, t: 1}? 1/10 Two letters picked without replacement from mmrnrmpmrmzrzn. What is prob of picking 1 n and 1 r? 8/91 Two letters picked without replacement from {g: 1, s: 2, v: 1, y: 1, f: 2, i: 1}. Give prob of picking 1 y and 1 f. 1/14 Four letters picked without replacement from {a: 5, y: 7}. Give prob of picking 2 y and 2 a. 14/33 Three letters picked without replacement from {o: 2, b: 2, q: 1, n: 10, s: 1}. Give prob of picking 2 n and 1 b. 9/56 Four letters picked without replacement from uuunnuuunu. What is prob of picking 2 u and 2 n? 3/10 Calculate prob of picking 1 n and 3 h when four letters picked without replacement from {h: 7, n: 6, u: 1, s: 4}. 7/102 Two letters picked without replacement from bzbbmcbkzczmzzzczc. Give prob of picking 1 k and 1 c. 4/153 Four letters picked without replacement from kxkcbxbxc. What is prob of picking 2 c and 2 x? 1/42 What is prob of picking 1 s and 2 o when three letters picked without replacement from mokjsao? 1/35 What is prob of picking 1 v and 1 y when two letters picked without replacement from {y: 4, h: 4, v: 8}? 4/15 Calculate prob of picking 1 a and 3 t when four letters picked without replacement from twwitiieeoeteeeaet. 1/765 Two letters picked without replacement from ffffnfnfnf. What is prob of picking 1 n and 1 f? 7/15 Two letters picked without replacement from {t: 3}. Give prob of picking 2 t. 1 Four letters picked without replacement from ltjjtttuubyultbyttu. What is prob of picking 1 b, 1 l, and 2 u? 2/323 Three letters picked without replacement from {s: 2, t: 2, g: 3, u: 2, j: 4}. Give prob of picking 2 s and 1 u. 1/143 Three letters picked without replacement from fnvknffqnff. What is prob of picking 1 q, 1 v, and 1 k? 1/165 Calculate prob of picking 2 y and 1 n when three letters picked without replacement from {n: 2, y: 8, q: 5}. 8/65 What is prob of picking 1 f and 1 p when two letters picked without replacement from {f: 5, i: 3, y: 3, p: 1}? 5/66 Two letters picked without replacement from {c: 1, l: 1, p: 4, h: 4}. What is prob of picking 1 l and 1 p? 4/45 Three letters picked without replacement from {e: 1, p: 2, h: 1, k: 1, o: 1, s: 1}. Give prob of picking 1 o, 1 h, and 1 p. 2/35 Calculate prob of picking 3 r when three letters picked without replacement from rvsrvavvvrrvravsrvar. 7/228 Two letters picked without replacement from {l: 2, x: 1, s: 2, o: 1, p: 4}. What is prob of picking 2 s? 1/45 What is prob of picking 2 v when two letters picked without replacement from {s: 1, v: 2, a: 2}? 1/10 What is prob of picking 2 m when two letters picked without replacement from {m: 2, k: 8}? 1/45 What is prob of picking 1 h, 1 d, 1 r, and 1 a when four letters picked without replacement from adsrlrlh? 1/35 Calculate prob of picking 3 p and 1 w when four letters picked without replacement from {p: 5, e: 4, w: 2, s: 2}. 4/143 What is prob of picking 4 r when four letters picked without replacement from rrrrrrrrr? 1 Three letters picked without replacement from {x: 12, t: 2, b: 2, r: 1, p: 1}. Give prob of picking 1 r, 1 p, and 1 x. 1/68 Two letters picked without replacement from {d: 3, o: 2, u: 7, s: 3}. Give prob of picking 1 s and 1 u. 1/5 Two letters picked without replacement from {g: 2, k: 2, r: 3, e: 1, o: 11}. Give prob of picking 1 k and 1 g. 4/171 What is prob of picking 1 j, 1 h, and 1 t when three letters picked without replacement from {y: 2, d: 3, h: 1, j: 2, t: 10, n: 2}? 1/57 Three letters picked without replacement from zzzzzzzznzzzz. Give prob of picking 2 z and 1 n. 3/13 Calculate prob of picking 3 p when three letters picked without replacement from {j: 2, n: 1, u: 4, p: 7}. 5/52 Four letters picked without replacement from ccnnnnncnc. Give prob of picking 2 n and 2 c. 3/7 What is prob of picking 1 x, 1 k, and 2 s when four letters picked without replacement from {s: 4, h: 4, k: 3, x: 1, y: 2}? 18/1001 Calculate prob of picking 1 j and 1 r when two letters picked without replacement from ourja. 1/10 Three letters picked without replacement from {r: 3, z: 1, i: 2, k: 1, t: 3}. What is prob of picking 1 r, 1 t, and 1
{ "pile_set_name": "DM Mathematics" }
+ 12 = 2*l for l. 2 Solve -14 = 5*o + 2*a, -14*o - 3*a - 14 = -10*o for o. -2 Solve -26 = 3*t - 4*l, 0 = -4*t - l + 1 - 4 for t. -2 Solve -4*x = -3*x + 3*y + 16, 16 = -2*x - 2*y for x. -4 Solve 2*a = -5*i + 4, 2*a = -4*i + 8*i + 4 for a. 2 Solve p + 0 = -z - 1, 3*z = -3 for p. 0 Solve -2*w + 2*r = 0, 1 + 2 = -w + 4*r for w. 1 Solve -2*p = 308 - 296, 2*v = -4*p - 30 for v. -3 Solve -u = 4*r + 4*u + 9, 2*r = 5*u + 33 for r. 4 Solve -4*v = -4*f + 4, 0 = -4*v - f - 14 - 10 for v. -5 Solve 5*p - p - 4*g = -16, 5*g = -3*p + 20 for p. 0 Solve -6 = -p - 2*c, -4 = 3*p - 4*c + 18 for p. -2 Solve 0 = 4*x + 32 - 52, -x + 17 = -3*s for s. -4 Solve -3*d - 5 = -2*n, -2*d + 4*n - 7 = -n for d. -1 Solve -4*j = 5*d + 19, -16 = 3*d + 4*j - 3 for d. -3 Solve 21*u - 17*u = -4*b + 32, -12 = -2*b - u for b. 4 Solve -11 = 5*p + 2*u, 3*p + 9 = 6*p - 4*u for p. -1 Solve 3*y = 5*g + 18, -21*g + 17*g - 2*y - 10 = 0 for g. -3 Solve 0 = z + 3*c + 2*c + 13, 0 = -3*z - 2*c - 13 for z. -3 Solve -2*x + 10 = 2*g, -g = -5*x + 11 + 2 for g. 2 Solve -i + 16 = -2*k + 13, 4*k - 12 = -4*i for k. 0 Solve b + g = 3, 5*b + 2*g + 3 = 18 for b. 3 Solve 1 = x - 2*x, -2*t - 5*x - 7 = 0 for t. -1 Solve 9 = -a + u, 3*a = 8*a + 5*u + 5 for a. -5 Solve -2*m - 2*m = -3*k + 3, -5*m = -5*k + 10 for k. 5 Solve 2*c + 2 + 8 = 4*p, c + 3*p - 15 = 0 for c. 3 Solve 4*r = 5*i + 26, 2*r + 12 - 28 = 4*i for i. -2 Solve -5*m + 4*u - 41 = 0, -4 = -14*u + 13*u for m. -5 Solve -3*m - f = f - 6, 4*m + 2*f = 6 for m. 0 Solve -5*n + s - 7 = 4*s, -3*s = -3 for n. -2 Solve -5*g - l = -16, -5*g - 22*l + 18 = -19*l for g. 3 Solve 3*h + 1 - 12 = u, -4*h - 10*u + 26 = 0 for h. 4 Solve -4*b - 3 = -2*x + 9, 3*b = -9 for x. 0 Solve 0 = -4*a + 8*a - 8, 0 = 2*l + a + 4 for l. -3 Solve -5*y = 3*v - 12, 2*y - 1 = 5*v - 21 for v. 4 Solve -h = -5, 39*g + 3*h = 41*g + 15 for g. 0 Solve -8 = 4*t - 12*b + 11*b, -2*t = b - 2 for t. -1 Solve 0 = 3*n + p - 9, 4 = 2*n - p - 7 for n. 4 Solve 4*t = 4*n, -37 = -3*n - 4*t - 58 for n. -3 Solve -4*s = -4*q + 8, 2*s + q + 0 = -1 for s. -1 Solve 13*x + 2*y = 10*x + 7, 4*y + 21 = x for x. 5 Solve -7*b = -2*b - o + 25, b + 5*o + 5 = 0 for b. -5 Solve 3*j - 14 = -8*t + 4*t, -2*j + 1 = t for t. 5 Solve -4*m - 4*n = -4, 20*m = 15*m - n - 15 for m. -4 Solve 3*x - 14*j = -12*j + 15, -j - 12 = -3*x for x. 3 Solve -2*t - 8 = 2*v, t + 2 = -4*v - 11 for v. -3 Solve 0 = 4*m + 2*a + 22, a - 2 = -m + 2*a for m. -3 Solve -5*j + 8 = -5*t - 12, 13 = -2*j - 5*t for j. 1 Solve 5*q = 2*u + 17, 2 - 10 = -u - 3*q for u. -1 Solve 4*c - 2*z - 4 = 0, 0 = 5*c - 3*z + 23 - 28 for c. 1 Solve 0 = 4*x - 2*y - 18, 22 = x + 116*y - 120*y for x. 2 Solve 25 = 20*u - 15*u, 3*u = 3*i + 27 for i. -4 Solve -p = -3*s, 0 = -5*p - 38*s + 39*s for p. 0 Solve 0 = 3*m, 3*v - 88*m + 85*m = -12 for v. -4 Solve 3*i + 6 = 3*s, 3*s + 2*i = 3*i + 10 for s. 4 Solve d - 4 = -4*f, -10*d - f = -7*d - 12 for d. 4 Solve -4*l - 8 - 4 = 0, -5*z + 14 = -3*l for z. 1 Solve 7 = -2*f - b + 4, -5*f = 5*b + 5 for f. -2 Solve 0 = -t - i, -8*t - 1 = -11*t - 2*i for t. 1 Solve -3*o + 6 = -5*r, -10 = -8*o + 3*o + 2*r for o. 2 Solve 0 = -2*n + 4*h + 12, 4*n + 4*h = -n - 12 for n. 0 Solve -2*p + 5*y + 2 = 3*y, 5*y + 37 = -3*p for p. -4 Solve -3 = v + 2*c, c + 3 = -0 for v. 3 Solve -5*g = -5*x + 10, 8 = x + g + 2 for x. 4 Solve 0 = 4*n + 2*d - 26, 3*n + 11*d - 21 = 8*d for n. 6 Solve 4*h + g - 3*g - 14 = 0, -g = -5*h + 13 for h. 2 Solve -6 = -2*t - 3*a + 5*a, 3*t = -2*a - 6 for t. 0 Solve -5*a - 12 = 3*v - 2*a, 0 = -3*v - a - 6 for v. -1 Solve 5*o - 5*a = 0, 3*o = 2*o - a + 6 for o. 3 Solve -5*p + 23 = -5*g + 8, -4*p = 5*g - 3 for p. 2 Solve 0 = -3*k + 6*k - 3, 24 = -5*n + 4*k for n. -4 Solve 0 = -4*u - 3*p + 3, -p + 32 = -4*u + 3*p for u. -3 Solve -3*f + f + 15 = k, -f + 5 = 0 for k. 5 Solve 4 = 4*l - 2*s, 0*l + 8 = -4*l + 5*s for l. 3 Solve 4 - 13 = -2*o + 3*z, -7 = -2*o + z for o. 3 Solve -4*v - 2*a = v + 1, -3*a = -4*v - 10 for v. -1 Solve 5*d - 4*b = 13, d = -10*b + 7*b + 14 for d. 5 Solve -5*n = 4*f - 23, -n + 4 - 1 = 0 for f. 2 Solve -2 = 3*m - 4*s - 0, -2*m - 4*s = 8 for m. -2 Solve 0 = 5*s - 5, -3*p + 6*s = -16 + 19 for p. 1 Solve l + 18 = -3*r, 3*r = -0*r - 2*l - 15 for r. -7 Solve 5*l + 5*u - 20 = 0, 0 = 2*l - l + 2*u - 5 for l. 3 Solve -2*w = -2*y - 12, -y - 5 + 7 = w for w. 4 Solve -18 = -5*k - t, -3*k - 2*t = -4*t - 16 for k. 4 Solve 0 = 2*q - q - 5*d + 20, -3*d + 15 = 0 for q. 5 Solve f = 2*m + 1, -f - 27 = -m - 6*f for m. 2 Solve 2*h + 4*k + 10 = 0, 15*k - 16*k + 15 = -3*h for h. -5 Solve 4*s + 55 = -3*u + 51, -5*u + 2*s + 28 = 0 for u. 4 Solve -16 = -4*j + b, -j - 11 = -2*b - 2*b for j. 5 Solve -5*z = -5*y + 30, -20 = 3*z - 3*y - y for z. -4 Solve -3*b - 25 + 28 = -2*n, 5*b - 27 = -4*n for n. 3 Solve -4*j = 12, 2*a + 7 = j - 0 for a. -5 Solve -2*l + 4*a + 26 = 0, -5*a + 10 = -5*l + 55 for l. 5 Solve -4*c - 12 = -5*i, -1 = 4*i - c - 4 for i. 0 Solve -4 = 2*h + 4*j, h + 10*j - 7*j = -4 for h. 2 Solve 16 = 11*a - 13*a - 4*t, -2*t = 6 for a. -2 Solve f + 0 = -2, -3*c + 2 = 2*f for c. 2 Solve 5*f + 25 = 0, -22*f = 3*s - 21*f - 10 for s. 5 Solve 10 = -2*j - 3*j - t, 4*j = t - 8 for j. -2 Solve 0 = -4*w - 4*c + 8, -2*c - 2*c = -w - 23 for w. -3 Solve -3*m = -5*o + o - 19, -12 = 4*o + 4*m for o. -4 Solve -3*w - 6 = 3*a, -5*a = -31*w + 29*w - 18 for w. -4 Solve 9*u - 3*v + 11 = 7*u, -4*u - v = 29 for u. -7 Solve 3*a + 2*a - 2 = f, 3*a = 4*f + 8 for a. 0 Solve -2*l - 6 = -4*m, -5*m + 2*m = -6 for l. 1 Solve 3 = -3*i - 3*g, -2*i - 5*g + 11 = 7 for i. -3 Solve -5*p + 3*x = -24, 6*p = p + 4*x + 22 for p. 6 Solve -2*t = 2*m - 12, -m - 4*m = t - 26 for m. 5 Solve 0*z - 3*z = 4*n + 20, 3*z + 2 = 5*n for z. -4 Solve 5*a - 5 = -l, -2*a + 4*l = 3*a - 5 for a. 1 Solve 0*s = 2*s + 3*d + 3, -5*d - 4 = 3*s for s. -3 Solve 2*n + 10*l = 15*l - 5, -2*n + 3*l - 7 = 0 for n. -5 Solve -3*x = -6, -3*x - 9 = -2*g - 3*g for g. 3 Solve -2*a + 6 = -2*t, 4*a - 4*t - 9 = -3*t for a. 2 Solve 0 = -5*g + 4*v - 15, 66 = -g + 3*v + 52 for g. 1 Solve -5*b - 29 = 2*m, -b - 242 = -3*m - 243 for m. -2 Solve -3*x + 5*c - 6 = 0, -3*c + 4 = 36*x - 38*x for x. -2 Solve 5 = -2*g - 5*k - 7, 0 = -3*g - 3*k for g. 4 Solve -4*p - 2*u = -8, -11*p + 6*p - 8 = -2*u for p. 0 Solve 2*f = 4*h - 14, -2*f - 16*h = -14*h + 8 for f. -5 Solve -3*l + 19 = -4*t, -3*l - 6 = 2*t - 1 for l. 1 Solve 5*k - m = -2*m + 13, 0 = 2*k + 2*m - 10 for k. 2 Solve -3*u + 0*t - 2 = t, 3*u + 3*t = -6 for u. 0 Solve 7*h - 2*h - 4*v + 32 = 0, -5*v = -2*h - 23 for h. -4 Solve -r + 2*b = 15, 3*r - 27*b = -22*b - 40 for r. -5 Solve -b + 3*a = 13, 0 = -3*b + b + 5*a - 22 for b. -1 Solve 20 = -5*k - g, -2*k + 0*g - 8 = -5*g for k. -4 Solve -1 = -3*w + 4*r, -12*w - 11 = -6*w + 5*r for w. -1 Solve -3 = -3*x - 4*n - 9, -4*x = 2*n + 8 for x. -2 Solve -5*m + 5*z = 30, 24 = -5*m - 3*z + 2*z for m. -5 Solve -3*j + 12 = 0, o = -o - 4*j + 6 for o. -5 Solve 0 = -2*w - 5*y + 22, 16 + 9 = 5*w + 5*y for w. 1 Solve 5*s + f = -18, -7*s + 11*s - 5*f - 3 = 0 for s. -3 Solve 0 = 3*d + 5*y + 28, 4*d - 3*y - 13 = 2*d for d. -1 Solve 2*t - p + 1 = 0, t - 6*p + 4*p - 1 = 0 for t. -1 Solve -4*y + 5*r = 10, 12*y + r = 15*y + 2 for y. 0 Solve s - 6*k - 6 = -8*k, -5*k - 7 = -3*s for s. 4 Solve -3*h - 3*k - 24 = 0, -6*h = -11*h + k + 14 for h. 1 Solve 0 = 4*c - 2*d - 2, 4*d - 20 = -0*d for c. 3 Solve 0 = -3*r + 5*l - 21, -5*r + 4*l - 6 = -8*r for r. -2 Solve 0 = -3*t + 3*p - 15, t - 5*p - 35 = 8*t for t. -5 Solve 24 = -5*v + v + 4*h, 4*v = -2*h for v. -2 Solve c - 3 = 2*k, -2*c - 1 = 4*k - 15 for k. 1 Solve -2*b - 4*u = 22, -4*b - 12 = u + 11 for b. -5 Solve 2*z + v - 4*v + 12 = 0, 4*v - 16 = 0 for z. 0 Solve -2*j - 2*q = -201 + 197, 3*j - 7 = -4*q for j. 1 Solve 12*j = 7*j - w - 19, 5*w = 4*j + 21 for j. -4 Solve b + 28*t + 2 = 29*t, -b - 6 = t for b. -4 Solve -2*h - a - 15 = -0*a, 0 = -5*h - 3*a - 40 for h. -5 Solve 5*j + 2 = c - 13, -16 = 4*j for c. -5 Solve q - 5*a = 16, 0 = 4*q + 12*a - 9*a + 5 for q. 1 Solve f + 3*o - 5 = 0, 4*o - 30 = 3*f - 6 for f. -4 Solve -4*f + 0 = 12, -2*b = -4*f - 2 for b. -5 Solve -12 = 4*t - 4*h, 0 = h - 4 + 3 for t. -2 Solve 6*v + 18 = 0, 5*c + 6 = 4*c - 2*v for c. 0 Solve -3*g + 6*d + 14 = 4*d, -3*g = 2*d - 10 for g. 4 Solve 16*a = -b + 13*a + 12, 2*a = -2*b + 12 for b. 3 Solve -20 = -4*j, 5*j - 22 = 4*k + 15 for k. -3 So
{ "pile_set_name": "DM Mathematics" }
10/((-60)/9))/((-3)/(-4)) -2 What is the value of 2/4*(-14)/(14/1)? -1/2 What is 6/28*((-208)/(-6))/13? 4/7 ((-28)/(-2))/(4/(34/17)) 7 What is (115/10)/(-23)*2/2? -1/2 What is the value of (1/(-4))/((-7)/(-7))? -1/4 What is the value of (-4)/4*0*4/4? 0 Calculate (0/3)/(20/(-5)). 0 What is (4/(-6)*-3)/3? 2/3 What is (-5)/(-1)*(-24)/(-96)? 5/4 What is the value of 18/(-15)*-5*(-4)/60? -2/5 What is the value of ((-2)/(-3))/((-13)/(195/(-40)))? 1/4 ((-4)/120)/(9/(-36)) 2/15 Evaluate ((-15)/70)/((-36)/28). 1/6 Evaluate (-64)/(-24)*(-4)/((-112)/105). 10 (1/1)/(1/(-16)*-8) 2 -2*(-5)/(-105)*-3 2/7 Calculate -6*(-4)/42*2394/228. 6 (-24)/(-16)*8/27 4/9 (150/(-8))/15*-4 5 1*(-2)/20*-2 1/5 What is the value of 162/(-180)*5/12? -3/8 What is the value of (-6)/54*(-18)/12? 1/6 Calculate 9/162*-4*-2. 4/9 Evaluate ((-24)/(-1050)*5)/((-6)/5). -2/21 1*-1*(-14)/(-7) -2 Evaluate (117/819)/((-2)/(-28)*2). 1 Calculate (-4*(-24)/224)/(-1). -3/7 (0/80)/(5/((-5)/2)) 0 1*1/2*6/(-12) -1/4 What is (1/(-7))/((-9)/18)? 2/7 5*-1*34/(-34) 5 Evaluate (8/(-6))/((-144)/108). 1 What is ((-38)/(-152))/(2/4)? 1/2 Calculate ((-12)/(-315))/((-12)/30). -2/21 (0/(-4))/(16/(-8)) 0 What is ((21/(-6))/(-7))/(1/(-2))? -1 Calculate -4*(-1)/(66/(-9)). -6/11 Calculate (3/45)/(1/(-9)). -3/5 Calculate (-84)/126*(-3)/5. 2/5 Calculate 9/3*(6/18)/1. 1 What is the value of (2/(-3))/((-10)/135*-9)? -1 What is (-2)/2*-3*26/(-117)? -2/3 Calculate ((-1)/((-10)/(-4)))/(752/(-752)). 2/5 What is (-6)/144*-6*8/(-7)? -2/7 What is the value of (8/2)/32*2? 1/4 What is the value of 5/(((-30)/(-8))/3)? 4 Evaluate ((-6)/(-10))/(13/((-1040)/(-72))). 2/3 Evaluate (3/2)/((156/(-40))/(-13)). 5 What is (-6)/(-15)*15/(-27)? -2/9 Evaluate 6/(-10)*1350/(-972). 5/6 What is the value of (((-28)/(-6))/2)/(24/72)? 7 Calculate 6/48*-54*24/(-18). 9 What is the value of ((-12)/84)/((24/(-28))/6)? 1 Calculate (4/10)/((240/(-16))/(-75)). 2 Evaluate ((-2)/12*-2)/((-81)/(-2187)). 9 Evaluate (-1)/((-24)/32)*-3. -4 What is 48/32*(-4)/3? -2 2*3*36/(-27) -8 (-15)/(-27)*7*15/175 1/3 What is ((-2)/(-2))/((72/6)/6)? 1/2 Evaluate 50/1225*(-84)/(-3). 8/7 What is the value of (2/4)/(36/72)? 1 Calculate (-20)/(-4)*2/(14/(-7)). -5 Evaluate 1*12/(-4)*6/(-45). 2/5 Evaluate 18/15*20/(-6). -4 Calculate 2*4/104*2. 2/13 Calculate (7/(-2))/((-4)/8). 7 What is -1*3/5*2640/7128? -2/9 Evaluate ((-1)/1)/((-4)/(-40)*5). -2 What is (-2)/5*((-195)/143)/(-1)? -6/11 Evaluate 1*(-204)/34*2/(-4). 3 Evaluate (8/1)/(2*(-4)/4). -4 What is the value of 2*((-24)/(-44))/6? 2/11 What is (2/((-28)/2))/((-1)/(-1))? -1/7 Calculate ((60/16)/5)/((-297)/264). -2/3 What is 3/(-18)*-4*(-9)/6? -1 What is the value of 8*6/(336/35)? 5 ((-15)/6)/(84/(-56)) 5/3 Calculate 1/10*(-42)/7. -3/5 Evaluate 4*8/(-96)*2. -2/3 Calculate ((-56)/(-448))/((-6)/8). -1/6 6*-2*(-3)/9 4 What is ((-93)/(-124))/(-3*1/(-32))? 8 Evaluate 5*(36/15)/(-6). -2 What is 4/(-48)*6/2? -1/4 What is ((8/(-6))/(-2))/((-824)/2163)? -7/4 Calculate ((-25)/(-20))/(6/(-24)). -5 Calculate ((-8)/(-128))/(2/4). 1/8 ((-110)/220)/(3/((-54)/3)) 3 Evaluate ((-3)/4)/(85*(-6)/(-80)). -2/17 What is -1*((-12)/(-56))/(4/14)? -3/4 What is the value of -3*2/20*805/(-2898)? 1/12 (-27)/(-63)*(-2)/((-8)/(-7)) -3/4 What is the value of (10/3)/((-2)/3)? -5 3/6*(-4)/(-3) 2/3 Evaluate (35/(-84))/((55/10)/(-11)). 5/6 What is the value of (-1*(2/1)/1)/2? -1 Calculate 4*7/(-21)*6/(-16). 1/2 What is (14/(-2))/(-7)*(-2)/(-10)? 1/5 What is (((-48)/(-20))/(-12))/((-18)/(-12))? -2/15 Evaluate (1/(-3))/((-10)/(-30)). -1 Evaluate ((-16)/10)/(34/170). -8 What is (-6)/4*(-52)/(-39)? -2 Evaluate 4/(-10)*(-3)/(12/(-10)). -1 Calculate 48/(-544)*(-3)/((-27)/12). -2/17 What is the value of ((0/(-11))/1)/6? 0 0/4*(-3)/(-6) 0 What is 1/(-11)*-2*28/(-28)? -2/11 What is (3/(-12))/(8/((-384)/(-54)))? -2/9 485/194*8/5 4 What is 0/(((-20)/5)/(-4))? 0 What is ((-12)/24)/(1/6)? -3 ((6/15)/1)/(12/15) 1/2 Calculate ((-4)/(-14))/(-6*(-4)/168). 2 What is 12/((-10)/(20/4))? -6 What is the value of (610/(-549))/(5/12)? -8/3 What is the value of ((-28)/(-140))/(1/(40/18))? 4/9 (40/(-32))/((-35)/56) 2 ((-2)/(-4))/((-7)/42)*1 -3 Calculate ((-12)/90)/1*-5. 2/3 Calculate (-1)/(((-12)/15)/4). 5 -1*(20/(-1140))/(1/6) 2/19 What is ((-128)/(-16))/((-40)/(-2))? 2/5 What is the value of -1*((-1)/4)/(9/180)? 5 What is the value of ((-3)/((-9)/(-3)))/(39/(-39))? 1 Calculate (4/(-3))/(8*(-5)/12). 2/5 What is the value of 5/(-90)*8/(-2)? 2/9 Calculate ((-190)/(-38))/(10/1). 1/2 ((-3)/12)/((2/(-8))/1) 1 What is the value of ((-4)/84*-6)/(-1)? -2/7 (1/(5*1))/(38/(-95)) -1/2 Calculate ((-240)/(-36))/10*-6. -4 What is (-20)/15*(-6)/(-24)? -1/3 Calculate 44/33*(-2)/((-30)/(-5)). -4/9 What is (-4)/6*63/147? -2/7 (64/4256)/((-3)/(-21)) 2/19 Evaluate -1*(((-8)/4)/(-2))/(-1). 1 What is (-4)/18*(-6)/(18/3)? 2/9 What is 7*6/315*-6? -4/5 Evaluate (-9)/(-3)*((-32)/21)/8. -4/7 Calculate (((-12)/64)/(8/32))/3. -1/4 Calculate (-4)/(-10)*1570/1413. 4/9 Calculate ((-2)/(12/((-9)/3)))/(-5). -1/10 Evaluate (-17)/68*24/(-33). 2/11 Calculate (18/(-63))/((-6)/(-9)). -3/7 Calculate 2/(-10)*75*(-8)/24. 5 Calculate ((-1)/2)/(3*(-70)/40). 2/21 What is the value of ((-1)/(-9))/((-22)/(-330))? 5/3 What is 12/(-8)*1*8/4? -3 Calculate (1/3)/(60/(-72)). -2/5 Evaluate (4/10)/((-301)/215). -2/7 What is 3*(35/(-10))/7*-2? 3 Calculate ((-1)/7)/((-70)/(-98)). -1/5 4/16*1/(-1) -1/4 Calculate 0*3*-1*(-3)/(-18). 0 Evaluate (-27)/(-9)*4/3. 4 What is the value of (2/(-138)*-9)/((-18)/12)? -2/23 ((-4)/(-6)*1)/((-22)/(-33)) 1 -2*(-8)/(-32)*-2 1 Calculate (28/(-35))/(52/10). -2/13 What is the value of ((-20)/12)/5*2? -2/3 (-6)/4*16/(-108) 2/9 What is the value of (90/36)/((-1)/2)? -5 Calculate -1*(-2)/6*18/(-6). -1 Evaluate 40/(-16)*2/5. -1 What is (-45)/(-5)*1/(-3)? -3 What is (-10)/15*((-3)/6)/1? 1/3 What is the value of (-360)/(-40)*((-4)/6)/2? -3 What is the value of 4/30*45/9? 2/3 What is the value of (-88)/(-66)*3/(-10)? -2/5 ((-24)/10*60/(-24))/8 3/4 Calculate 22/6*24/396. 2/9 What is the value of (128/512)/(2/(-8))? -1 Calculate (-3*(-2)/(-20))/(12/(-10)). 1/4 What is 8/(-6)*1*30/(-100)? 2/5 Evaluate (25/75)/(2/(-6)). -1 What is the value of 130/(-39)*(-6)/4? 5 Calculate -2*8/176*-2. 2/11 2/5*810/432 3/4 Evaluate (40/30)/(28/6). 2/7 (-15)/(-3)*(-2)/(-5) 2 -1*7/147*-7 1/3 Evaluate (24/54)/((-12)/(9/(-3))). 1/9 What is ((-1)/(28/8))/(2/(-1))? 1/7 Evaluate ((-12)/(-270)*15)/((-4)/30). -5 Evaluate (13*(-4)/(-156))/((-2)/(-6)). 1 Evaluate (-12*(-6)/54)/(-2*1). -2/3 What is -8*(-2)/280*5*1? 2/7 Evaluate ((-4)/(-51))/(32/48). 2/17 ((-4)/(-14))/((-9)/36) -8/7 Evaluate (5/10)/((-14)/28). -1 Evaluate (-4)/(-2)*(-12)/156. -2/13 Calculate 48/(-16)*4/(-6). 2 (112/(-42))/((-50)/(-15)) -4/5 Evaluate (675/(-300))/((-30)/8). 3/5 What is ((-2)/2)/(43/86)? -2 Calculate (96/420)/(2/(-5)). -4/7 What is (-1)/((-3)/(-12))*48/(-32)? 6 10/(12/(-30)*5) -5 What is the value of ((-58)/174)/(1/12)? -4 Evaluate ((-9)/(-3)*-1)/((-12)/(-40)). -10 Evaluate ((125/20)/(-5))/((-5)/(-20)). -5 (310/(-16))/31*(-4)/(-1) -5/2 Evaluate ((-2)/16)/((-4)/((-80)/(-5))). 1/2 Calculate 2/(-12)*18/12. -1/4 (-10)/70*3/12*-7 1/4 What is 40/60*(-45)/(-6)? 5 Calculate 6/((-60)/200*(-10)/(-4)). -8 ((-2)/(-30))/((-12)/(-40)) 2/9 What is ((-13)/(-13))/((-1)/10*2)? -5 (-52)/312*10/2 -5/6 Calculate 18*2/15*10/3. 8 Evaluate (((-700)/(-30))/(-14))/((-1)/3). 5 What is the value of ((36/(-8))/(-9))/((-4)/(-40))? 5 Evaluate (8/(-6))/2*6/(-4). 1 What is the value of (-336)/(-1728)*(-32)/(-84)? 2/27 What is the value of (7/(588/7))/((-6)/16)? -2/9 (-14)/525*-3*-5*1 -2/5 Evaluate 2*-5*(-3)/((-120)/(-16)). 4 Evaluate 7/(-2)*(-42)/49*1. 3 Evaluate -7*(-9)/126*(-8)/(-4). 1 (2/(-3))/(((-10)/(-15))/1) -1 What is the value of ((-2)/7)/(-2)*(-301)/172? -1/4 Evaluate (3/12*2)/(1/(-6)). -3 Calculate (-2*7/(-84))/(1/(-3)). -1/2 Evaluate 88/308*(-6)/4. -3/7 Evaluate (12/(-60)*-5)/(3/1). 1/3 What is 21/(-112)*12/18? -1/8 Calculate (-4)/(-2)*3*45/(-54). -5 What is the value of ((0/3)/(38/19))/1? 0 Calculate 2/(((-15)/(-6))/(-5)). -4 2*9/(-162)*(-9)/2 1/2 ((-12)/10)/((-8)/(-20)) -3 (-1)/2*848/53 -8 10*15/((-375)/(-20)) 8 What is the value of (((-780)/(-24))/(-13))/(10/(-6))? 3/2 (-20)/(-2)*1/4 5/2 Calculate 12/(-8)*2*(-3)/36. 1/4 Evaluate -6*7/126*-6. 2 What is the value of (-14)/(-21)*(-273)/
{ "pile_set_name": "DM Mathematics" }
Calculate b(a(z)). 3*z + 698 Let u(c) = -c**2 + 2*c - 4. Let w(x) = -2*x**2 - 4*x + 8. Let d(o) = 10*u(o) + 5*w(o). Let l(j) be the second derivative of 5*j**4/6 - 12*j. Determine l(d(g)). 4000*g**4 Let s(m) be the first derivative of 47 + 15/2*m**2 + 0*m. Let a(h) = -2*h**2 + 2. Let p(c) = -1. Let z(g) = a(g) + 2*p(g). Give s(z(d)). -30*d**2 Let s(r) = 20*r - 381 - 10 + 391. Let g(t) = -62*t. Determine g(s(k)). -1240*k Let l = -386 + 432. Let r(m) = -39 + 17*m - 15*m + l. Let k(b) = b**2. Give k(r(g)). 4*g**2 + 28*g + 49 Let r(q) = -420*q**2 - 501*q + 21. Let s(d) = -8*d. Determine r(s(p)). -26880*p**2 + 4008*p + 21 Let w(l) be the second derivative of 403*l**4/6 + 2362*l. Let a(z) = -2*z. What is w(a(d))? 3224*d**2 Let y(j) = 8038*j. Let c(r) = -89*r + 2. What is c(y(u))? -715382*u + 2 Let n be 6*(1 - 10/6)*-1. Let b(q) = -9*q + n*q + 7*q. Let i(o) be the third derivative of -15*o**4/8 - 6*o**2. What is i(b(l))? -90*l Let c(r) = -25*r**2. Let k(s) = -s + 6. Let a be 2/(-6)*(2 - -10). Let b(d) = -d + 8. Let g(z) = a*k(z) + 3*b(z). Calculate g(c(f)). -25*f**2 Let k(h) = -2155*h**2. Let l(z) = -13*z + 63*z - 18*z - 18*z - 17*z. Determine l(k(r)). 6465*r**2 Let k(w) = w**2 - 11*w + 13. Let z be k(10). Let d(p) = z*p - 4*p + 9*p. Let l(x) = -8*x. Give l(d(m)). -64*m Let a(k) = 20*k**2. Let j(r) be the third derivative of -5*r**5/3 - 1935*r**2. What is a(j(m))? 200000*m**4 Let o(w) be the third derivative of -w**7/2520 - 19*w**4/12 - 26*w**2. Let g(l) be the second derivative of o(l). Let k(b) = 65*b. Give k(g(j)). -65*j**2 Let h(d) = -2*d**2. Let l(k) be the second derivative of -91*k**4/6 + 711*k. Give l(h(r)). -728*r**4 Let l(a) = 2*a**2. Let m(o) = 391*o**2 - 20*o + 13. Let k(c) = 392*c**2 - 25*c + 15. Let x(y) = -4*k(y) + 5*m(y). Determine x(l(w)). 1548*w**4 + 5 Let g(b) be the second derivative of b**4/4 + b. Let k(p) = -7*p**2 - 12*p - 100. Let d(r) = 2*r**2 + 3*r + 22. Let f(i) = -4*d(i) - k(i). Determine g(f(n)). 3*n**4 - 72*n**2 + 432 Let t(c) = -10438*c**2. Let z(d) = 478*d**2 + 26*d. Determine z(t(i)). 52078981432*i**4 - 271388*i**2 Let k(c) be the third derivative of -c**4/12 - 33*c**2. Let d be 4*(-3)/30 - (-168)/20. Let v(a) = 4*a - 4 + 1 - d*a + 22*a. Determine v(k(u)). -36*u - 3 Let n(h) = 116*h**2 + 3202. Let r(c) = -2*c. Calculate r(n(p)). -232*p**2 - 6404 Let z(r) = 2*r + 67. Suppose 20 = f + 3*k, 13*k - 8*k = 5*f. Let x(n) = 0*n + 4*n - 2*n - f*n + n. What is x(z(s))? -4*s - 134 Let p = 22 - 13. Suppose -5*a + 2 + p = 4*g, 5*a = 5*g - 25. Let f(y) = -g*y - 496 + 496. Let x(j) = -2*j. Calculate x(f(t)). 8*t Let q(b) = -2*b**2. Let k(s) = s + 9. Let m = -33 + 27. Let x be k(m). Let v(h) = 13 - x*h**2 - 13 - h**2. What is v(q(u))? -16*u**4 Let v(q) = 2*q**2. Let o(p) = 4*p + 1. Let c(y) = 489*y - 15. Let n(x) = -c(x) - 15*o(x). What is n(v(k))? -1098*k**2 Let x(t) = 33*t + 15. Let y(r) = 33*r + 30 - 42 + 30. Let m(h) = 6*x(h) - 5*y(h). Let j(d) = 3*d. Determine j(m(s)). 99*s Let t(h) = 21*h. Let c(z) = -5390214*z. Calculate t(c(b)). -113194494*b Let d(i) = -76291613*i**2. Let v(n) = 2*n**2. What is v(d(s))? 11640820428283538*s**4 Let c(s) be the second derivative of s**4/12 + 3*s**3/2 + 619*s. Let r(o) = -o**2. Give c(r(f)). f**4 - 9*f**2 Let w(r) be the third derivative of -r**5/60 + 2813*r**3/6 - 3550*r**2. Let q(x) = x. Give q(w(g)). -g**2 + 2813 Let t(c) be the second derivative of -c**3/6 - 6*c. Let p be 0 - 2 - (-5 - -3)*5. Let f(m) = -11*m - p*m + 28*m - 13*m. What is t(f(x))? 4*x Suppose 15*p - 13*p = 82. Let c(t) = 3 - p*t + 0 + 73*t - 1. Let m(v) = -v**2. Give c(m(u)). -32*u**2 + 2 Let x(v) = 8*v**2. Suppose -4*c - 4*o - 14 = 6, 5 = -5*c - o. Let f(z) be the second derivative of 0*z**2 - 1/3*z**3 + c + 12*z. Calculate f(x(k)). -16*k**2 Let c(l) = 26567*l**2 + 4*l. Let f(m) = 73*m - 2. Calculate f(c(p)). 1939391*p**2 + 292*p - 2 Let r(c) be the first derivative of c**6/120 + c**3/3 - 22*c + 112. Let b(l) be the third derivative of r(l). Let o(k) = -28*k**2. Calculate b(o(m)). 2352*m**4 Let b(l) be the first derivative of l**2 + 3. Suppose -2*z + 3608 = 6*z. Let x(k) = 877*k**2 - 442*k**2 - z*k**2. What is b(x(o))? -32*o**2 Let w(q) = 36793706*q**2. Let d(k) = 2*k. Determine d(w(a)). 73587412*a**2 Let g(x) = 2*x. Let p(i) be the second derivative of 1600*i**3/3 + 319*i - 1. What is g(p(t))? 6400*t Let p(t) = -353*t - 96*t + 40949 - 40949. Let i(l) = 2*l. What is i(p(u))? -898*u Let l(o) be the first derivative of 13*o**6/120 + 45*o**3 + 81. Let m(q) be the third derivative of l(q). Let h(j) = 2*j. Determine m(h(i)). 156*i**2 Let r(m) = 84*m + 199*m - 285*m. Let c(t) = 13963*t**2. Determine c(r(l)). 55852*l**2 Let f(g) = 4*g + 14. Let s(l) = l + 77832. Determine f(s(o)). 4*o + 311342 Suppose 2*v - 11 = 223. Let a(t) = -v - 3*t + 117. Let b(l) be the third derivative of -l**4/24 - 41*l**2 + l. Determine b(a(i)). 3*i Let l(t) = -18*t. Let f(g) = 12*g. Let x(w) = -420*w. Let m(n) = 18*f(n) + x(n). Give l(m(j)). 3672*j Let y(r) = 26*r**2. Let z(j) = -140*j**2 + 44*j**2 + 52*j**2. What is z(y(u))? -29744*u**4 Let l(z) be the first derivative of -3*z**2/2 + 7*z - 635. Let u(v) = 39*v**2. Give l(u(t)). -117*t**2 + 7 Let u(l) = -2*l - 7 + 19 + 0*l - 12. Let k(g) = 57*g**2 + 12*g - 21. Let z(b) = 14*b**2 + 3*b - 5. Let x(c) = 5*k(c) - 21*z(c). Give x(u(i)). -36*i**2 + 6*i Let m(a) = 2*a. Suppose -14*b = -19*b + 155. Let x(v) = -b*v**2 + 60*v**2 + 35*v**2 + 43*v**2. Determine m(x(d)). 214*d**2 Let m(g) = 221613*g. Let a(v) = -2369*v. Determine m(a(t)). -525001197*t Let n(u) = 8*u. Suppose -2*o = 5*z - 225, 3*o - 8*o + 576 = -z. Let g(b) = -107*b**2 + 215*b**2 - o*b**2. Calculate n(g(k)). -56*k**2 Let u(n) be the second derivative of 131*n**4 + 8080*n. Let h(m) = -3*m**2. What is h(u(f))? -7413552*f**4 Let l(s) be the first derivative of 11*s**2/2 + 1336. Let b(c) = -47*c + 3. Calculate b(l(w)). -517*w + 3 Let n(o) = -3*o**2. Let i(v) be the third derivative of 15 - 4/3*v**3 + 2*v**2 + 0*v + 5/24*v**4. Calculate i(n(x)). -15*x**2 - 8 Let k(l) = -17*l. Let h(f) = -518283*f. Determine h(k(q)). 8810811*q Let f(y) = 39*y. Let r(n) = 175*n. Let o(a) = -18*f(a) + 4*r(a). Let p(u) = -u**2 - 512. Determine o(p(v)). 2*v**2 + 1024 Let p(t) = -23*t**2. Let g(h) = -39683*h**2 - 2*h. What is g(p(q))? -20992307*q**4 + 46*q**2 Let d(c) = 2*c. Let s(h) be the second derivative of -2833*h**3/6 + 2*h - 605. What is d(s(b))? -5666*b Let u(q) = q. Let b(v) = -4320*v**2 - 2*v - 30. Calculate b(u(g)). -4320*g**2 - 2*g - 30 Let q = 322 - 327. Let a(s) = -4*s**2 + 5*s. Let n(g) = -g**2 + g. Let l(x) = q*n(x) + a(x). Let b(o) = o + 34. Calculate l(b(c)). c**2 + 68*c + 1156 Let h(f) = -137*f. Let c(n) = 8*n**2 + 9. Let o(t) = 8*t**2 + 12. Let s(x) = -8*c(x) + 6*o(x). What is h(s(u))? 2192*u**2 Let q(x) = 26*x**2 + 34 - 40 - 3*x**2 - 24*x**2. Let u(b) = -2*b - 115. What is q(u(a))? -4*a**2 - 460*a - 13231 Let i(o) = 6*o. Let q(y) be the first derivative of 23*y**3 + 1312. What is i(q(n))? 414*n**2 Let o(g) = 2*g - 75108. Let j(r) = 5*r + 52. Give j(o(z)). 10*z - 375488 Let o(w) = 5*w - 2. Let q(k) = 13*k + 3. Let m(j) = 24*j + 11. Let a(r) = 2*m(r) - 5*q(r). Let u(g) = -2*a(g) - 7*o(g). Let b(x) = 281*x**2. Determine u(b(p)). -281*p**2 Let b(j) = 175*j**2 - 3*j - 2. Let s(u) = 22*u. What is b(s(c))? 84700*c**2 - 66*c - 2 Let p(b) = -21*b + 18. Let u(c) = c - 1. Let t(s) = p(s) + 18*u(s). Let d be ((10 - 2) + -4)*(-3)/(-4). Let f(i) = -d*i + i - 4*i. Determine t(f(m)). 18*m Let p(s) = -106*s. Let o(m) = 3*m + 14. Let n(q) = q + 4. Let f(h) = -7*n(h) + 2*o(h). Let k(i) = 4*i. Let r(t) = -5*f(t) - k(t). Calculate p(r(x)). -106*x Suppose 2*p - 22 = 3*v, 0*p - 3*v = -5*p + 46. Let k(o) = 6 - p - 50*o**2 + 2. Let r(l) = 4*l. Give k(r(t)). -800*t**2 Let w(g) = -2*g**2. Let k = 44 - 42. Let r = k - -3. Let f(p) = -r*p**2 - 42*p + 42*p. Determine f(w(v)). -20*v**4 Let s(z) = -953*z. Let w(g) be the second derivative of -g**3/6 + 4*g + 1291. What is w(s(d))? 953*d Let z(f) = 94*f. Let i(w) be the first derivative of -w**2 - 1032. What is i(z(h))? -188*h Let w(o) = 2*o**2 - 78*o + 1783. Let s(z) = 6*z**2 - 221*z + 5351. Let r(i) = 6*s(i) - 17*w(i). Let y(g) = 10*g. Determine y(r(p)). 20*p**2 + 17950 Let l(t) = 20*t. Let x(o) = o. Let v(b) = -l(b) + 6*x(b). Suppose 0
{ "pile_set_name": "DM Mathematics" }
ctor of h and 33? 3 Let s be (-2 + 3)*(-2 + 10). Suppose u + s = 34. Calculate the highest common factor of u and 39. 13 Suppose -5*u + 3 + 7 = 0. Let o be u*(8/2 - 2). Suppose 3*v = -v + 16. Calculate the highest common factor of v and o. 4 Let x be 588/(-8)*(-4)/3. Suppose -6 = 2*m, 2*h + 2*m = -2*m + 16. Calculate the highest common factor of h and x. 14 Let v = -140 + 259. What is the highest common divisor of 34 and v? 17 Suppose 0 = -y - 3*r + 11, 4*r + 17 = 4*y + y. Suppose k = -y*x - 0*x + 38, 0 = 4*k - x - 257. Let a = 17 - 10. Calculate the greatest common factor of k and a. 7 Let w = 114 + 36. Calculate the highest common factor of 60 and w. 30 Suppose -4*v + 78 = 5*h, -v = 2*h - 16 - 5. Calculate the highest common factor of 153 and v. 17 Suppose -16*x = -12*x - 56. Calculate the greatest common factor of x and 56. 14 Let f(i) = 3*i - 2. Let h = 3 + -1. Let g be f(h). Suppose g*n - n - 60 = 0. What is the greatest common factor of n and 30? 10 Suppose 0*g + o = 4*g - 181, 3*g + o - 134 = 0. Calculate the greatest common factor of g and 9. 9 Suppose 0 = 4*n - 19 - 13. Suppose 3*z + n*h - 4*h = 37, 0 = 2*z - h - 10. What is the highest common divisor of 77 and z? 7 Let r(y) = 10*y - 6. Let o be r(4). Let b = 61 - o. Suppose -3*x = l - 24, -6*l = -2*l + 5*x - 61. What is the highest common factor of l and b? 9 Let q be (-48)/(-3 + 7)*4/(-6). What is the highest common divisor of q and 12? 4 Let b = 3 - 0. Let n(d) = 13*d**2 + 2*d - 3. Let r be n(b). What is the greatest common divisor of 20 and r? 20 Let w be (-2)/8 + (-42)/(-8). Suppose -w*j = -14 - 26. Let t(y) = -12*y + 4. Let i be t(-3). Calculate the highest common factor of i and j. 8 Suppose w + 0*w = 63. Let c be (8/6)/(2/w). What is the greatest common factor of 14 and c? 14 Suppose 6*b = 7*b - 5. Calculate the highest common divisor of 15 and b. 5 Let k(r) be the first derivative of r**3/3 - 2*r + 3. Let h be k(-2). What is the greatest common divisor of h and 2? 2 Suppose -2*a = 2*a - 24. Let q(r) = 3*r - 9. Let l be q(a). Suppose -5*j + 32 = -2*n, 0 = j - 3*n - l - 0. What is the highest common divisor of 2 and j? 2 Suppose -103 = -x + 9. Calculate the highest common divisor of x and 14. 14 Let v(b) = 3*b**2 - 7*b + 6. Let p be v(6). Calculate the highest common factor of p and 18. 18 Suppose -10 - 10 = -4*p. Calculate the greatest common divisor of p and 15. 5 Suppose 0*r + r - 740 = 0. Suppose 4*i - r = -4*o, 4*i + 0*i - 715 = o. Calculate the greatest common factor of i and 20. 20 Let l(x) = x**3 + x**2 - x + 63. Let i be l(0). Suppose p - 3*n - 7 = -0*n, 0 = -n. What is the greatest common divisor of i and p? 7 Suppose 2*i - 5*y = 53, -28 = -5*y - 3. Let v = 7 + -3. Suppose -v*u + u = -78. Calculate the greatest common divisor of u and i. 13 Suppose 3*l + 2*l = 3*o - 2, 0 = 4*o - 2*l - 12. Suppose o*i - 8 = 80. Calculate the greatest common divisor of 11 and i. 11 Let j = 14 + -10. What is the greatest common divisor of 36 and j? 4 Suppose 4*v + 2*o = -2*o + 20, 0 = -4*o + 8. What is the greatest common factor of 1 and v? 1 Let z = 30 - 14. Let s = z - 10. What is the highest common factor of s and 12? 6 Let o = 7 + 3. Let c = 4 + 6. What is the greatest common factor of c and o? 10 Suppose 4*n = 35 + 29. Calculate the highest common factor of 2 and n. 2 Suppose -4*z = -3*z - 27. Let f = z + -17. What is the greatest common factor of f and 70? 10 Suppose 5*o + 171 = y - 0*o, 481 = 3*y + o. Calculate the highest common factor of y and 23. 23 Suppose 7*u - 11*u = -72. What is the greatest common factor of 12 and u? 6 Let a be ((-27)/(-2))/(2/8). Let o = a - 18. What is the highest common divisor of 54 and o? 18 Suppose 3*q = 55 + 230. Calculate the greatest common factor of q and 38. 19 Suppose 9*f = 656 + 964. What is the greatest common factor of f and 12? 12 Let j = 67 + 27. Calculate the greatest common factor of 235 and j. 47 Let r(w) = 92*w. Let y be -2 - -2 - 0 - -1. Let z be r(y). Calculate the highest common divisor of z and 23. 23 Suppose -t = -0*t + 5*d + 22, -110 = 5*t - 3*d. Let s = -7 - t. Let b(y) = y + 3. Let p be b(3). What is the greatest common factor of p and s? 3 Suppose -2*h = -0*h - 16. Suppose -w - w + h = 0. Suppose 218 = w*l - 142. Calculate the highest common factor of 10 and l. 10 Let m be (-2)/6 + 32/6. Let r(b) = -b**2 + 8*b + 3. Let v be r(m). Suppose 43 + 11 = 2*k. Calculate the highest common factor of k and v. 9 Suppose -4*w = -0 + 16. Let o(z) = 3*z - 2*z - 2 + 7. Let f be o(w). Calculate the greatest common divisor of 8 and f. 1 Let u be 4/(-12) + 124/12. What is the highest common divisor of u and 2? 2 Let v = -47 - -51. Suppose -18 = -2*h + 20. Suppose -h = -v*l + 3*y, -3 = -2*l - 2*y - 3*y. What is the greatest common factor of 8 and l? 4 Let t(a) = 60*a**2 - 2*a - 1. Let y be t(2). Calculate the highest common factor of 94 and y. 47 Let a be (-845)/(-25) - 2/(-10) - 1. What is the highest common divisor of 3 and a? 3 Suppose 5*k - 63 = -v, -2*v - 4*k = -4*v + 154. Let y = -33 + v. Calculate the greatest common divisor of y and 4. 4 Let j = 87 - 49. Let d(s) = 50*s - 8. Let g be d(7). Calculate the highest common factor of j and g. 38 Suppose -300 = -2*r + r. What is the greatest common factor of r and 60? 60 Suppose -8*v + 2*v = -2508. What is the greatest common factor of 38 and v? 38 Let c(l) = l - 1 + l - l - 3. Let h be c(10). Calculate the greatest common divisor of h and 42. 6 Let q = 139 + 20. Calculate the greatest common factor of q and 53. 53 Let b be (-1)/((-18)/4)*9 + 36. Calculate the greatest common divisor of b and 95. 19 Suppose 13*s = 315 - 3. Calculate the greatest common factor of 24 and s. 24 Let b(k) = 2*k - 2. Let u be b(4). Suppose -2*x - 24 = -5*x. Suppose -3*p + 5*h + x = 1, 0 = 2*h - 2. Calculate the highest common factor of u and p. 2 Suppose 9 + 1 = 2*u + 5*v, 20 = 4*u - 3*v. Let s be (-43)/(-3) + (-1)/3. Let j be (10/(-4))/((-1)/s). What is the greatest common divisor of j and u? 5 Suppose -44*v + 41*v = -45. Calculate the highest common divisor of 135 and v. 15 Let n = 133 - 99. What is the highest common divisor of n and 17? 17 Let u be (-129)/(-3) - 3/(-3). Let g = -7 - -11. Calculate the greatest common divisor of u and g. 4 Let i be (-1)/22*-4 + 174/11. Calculate the greatest common divisor of 40 and i. 8 Let s be 1/(-1)*(-5 + 0). Suppose 2*d - 2*q - 3*q = 1, d = s*q - 7. Calculate the greatest common factor of d and 12. 4 Let z(l) be the first derivative of 13*l**4/4 + l**3/3 + l**2/2 - l - 1. Let q be z(1). Let d = 212 - 205. Calculate the highest common divisor of d and q. 7 Let t(k) = -k**3 - 12*k**2 + 11*k + 4. Let a be t(-14). Calculate the highest common divisor of 22 and a. 22 Let z(t) = -t**2 - 4*t + 7. Let q be z(-5). Let n be q/4 + (-34)/(-4). Let s = -16 - -25. Calculate the greatest common divisor of s and n. 9 Let v be (8/10)/((-1)/(-20)). Suppose -5*h + 63 + 97 = 0. Suppose 4*i - h - v = 0. Calculate the highest common divisor of 3 and i. 3 Suppose 5*w - 75 = -0*w. Suppose 15 = -2*b + l + 86, 0 = -3*l - w. What is the highest common factor of 22 and b? 11 Let z be -7*(-37 + 5)*30/56. Calculate the greatest common divisor of z and 15. 15 Let t = 2 + 4. Let h be (-1)/2*0/(-3). Suppose h*d = 2*d - 12. What is the greatest common divisor of d and t? 6 Suppose p - 8*g + 3*g = 12, 5*p + 5*g = 60. Let b = -2 + 4. Calculate the highest common factor of b and p. 2 Suppose -12*q - 330 = -17*q. Calculate the highest common factor of q and 33. 33 Suppose 0 = 5*p + 2*b - 125 - 102, -4*p = -4*b - 204. Suppose -5*i - 2*t + 72 = 0, 0 = 3*i - t + 6 - p. Calculate the greatest common divisor of i and 56. 14 Suppose -3*b = 2*b - 5. Suppose -z + 44 = 5*t, -3*t - 5*z + 4*z = -28. What is the greatest common divisor of t and b? 1 Let r = -148 + 168. Calculate the highest common factor of r and 100. 20 Let s = 7 + -13. Let i be 28*(s/3 + 3). Calculate the highest common factor of i and 14. 14 Let q(a) = -41*a - 3. Let d be q(-3). Let b(g) = -2*g + 5. Let t be b(-5). Let n = t - 0. What is the greatest common factor of d and n? 15 Let c(w) = w**2 + 4*w - 7. Let n be c(-5). Let t be ((-5)/10)/(n/324). What is the highest common divisor of 9 and t? 9 Suppose 2*c = -0*c - 34. Let k = c - -11. Let d = 98 -
{ "pile_set_name": "DM Mathematics" }
t o, 2, s in ascending order. o, s, 2 Suppose -2*k + 0*p - 127 = 3*p, 5*k + 325 = -5*p. Let z be ((-4)/(-2))/(k/24 - -1). Put z, -4, 1 in decreasing order. 1, z, -4 Let v = 0.96 - -0.04. Let w = -3 + 8. Let o = w + -5.1. Put -0.4, o, v in decreasing order. v, o, -0.4 Let v = 1.3 + -1. Let m = 58.041 + 0.059. Let c = m + -58. Sort v, 4/5, c in descending order. 4/5, v, c Let j = 34.6 + -46.6. Put 4, 1/6, j in ascending order. j, 1/6, 4 Let h(k) = -2*k**3 - 2*k**2 - 11*k - 25. Let t be h(-2). Sort t, -5, -4 in decreasing order. t, -4, -5 Suppose -n + 5 = 3*c, 0 = 3*n - 2*c + 7 - 0. Let g be 3*(-3)/(n - 2). Let u = 0.9 - -0.1. Sort 1/3, g, u in decreasing order. g, u, 1/3 Let p = 129/35 + -317/105. Put p, -23/10, 0.4, -1/2 in ascending order. -23/10, -1/2, 0.4, p Let j = 617 + -620. Sort 11, 2, j, 0. j, 0, 2, 11 Let o = -269 + 268.8. Put -0.5, -2/55, -2, o in decreasing order. -2/55, o, -0.5, -2 Suppose -2*k = v + 2*k + 19, 0 = 2*v + 5*k + 26. Let q(m) = m**3 + 2*m**2 - 3*m - 2. Let i be q(v). Put 5, i, 10 in decreasing order. 10, 5, i Let z = -620 + 619.4. Put -1, 0.9, z in decreasing order. 0.9, z, -1 Let s = -309 - -316. Put -2, s, -5, 2 in ascending order. -5, -2, 2, s Let h = 2.11 - 2.41. Sort -4, -10, h, 3 in decreasing order. 3, h, -4, -10 Let g = -1603.5 - -1603. Put g, -2, 1/6, 1.6 in ascending order. -2, g, 1/6, 1.6 Let g be 7 + 1/(-1)*(15 - 11). Sort -5, -7, g in descending order. g, -5, -7 Let m(y) = 8*y + 93. Let f be m(-12). Let b(i) = i**2 - 7*i + 5. Let n be b(6). Let c be (0/(-2))/(n - -2). Sort c, -0.5, f in decreasing order. c, -0.5, f Let o(n) = -n**2 + 2*n - 1. Let v be o(1). Suppose v = -2*a - 2*a. Let w(d) = -7*d - 109. Let q be w(-15). Put 2, a, q in decreasing order. 2, a, q Let d = -79 + 122.8. Let q = 44 - d. Sort q, -1/5, -0.5 in increasing order. -0.5, -1/5, q Let m be (-18)/(-135) + (-28)/(-15). Let b be 2/(-11) + (-46)/(-11). Suppose b*t - 10 = 2*t. Put 3, m, t in decreasing order. t, 3, m Let r = 17 - 15. Suppose w + 4*t = 8, -11*w = -9*w + 2*t + 2. Sort w, r, -3 in increasing order. w, -3, r Suppose -250 = -17*u - 33*u. Put 3, -5, u, -4 in ascending order. -5, -4, 3, u Let a = -763 + 1078. Let g be 15/(-4) + (-8 - a/(-36)). Sort g, -1, -5 in ascending order. -5, g, -1 Let n = 13.69 - 10.69. Sort n, 176, -4 in decreasing order. 176, n, -4 Let q = -50 - -43.4. Let g = q + 1.6. Let x = 4.87 - -0.13. Put x, 1/10, g in decreasing order. x, 1/10, g Let d be 508/(-44) + 1 + (-30)/(-55). Sort d, -4, -12, 3 in descending order. 3, -4, d, -12 Let p = -149 - -1637/11. Put p, -3, -2/7, 1/2 in ascending order. -3, -2/7, p, 1/2 Let b be -22 - (14 + -2)/3. Let v = 29 + b. Let z = -0.2 - -0.4. Sort v, z, 0. 0, z, v Let n = -28 - -28.5. Let m = 0.5 + n. Put m, -2/17, 0 in ascending order. -2/17, 0, m Let n be 1/(((1 - -4) + -3)/(-2)). Let i(d) be the third derivative of d**5/60 - d**2. Let k be i(n). Sort k, -5, 4 in decreasing order. 4, k, -5 Let v(t) = -5*t - 106. Let k be v(-22). Suppose 0 = -5*y - p - 8, -4*y - 3*p - 1 - 1 = 0. Sort -3, k, y. -3, y, k Let a(l) = -l**3 + 12*l**2 + 4*l - 46. Let c be a(12). Sort c, 20, -10. -10, c, 20 Suppose -4*i - h - 3*h = -52, -4*i + 4*h = -20. Let t be i/75*2/3. Put -11, t, 0.1 in decreasing order. 0.1, t, -11 Let v = 13 - 27. Let c(p) = p**2 - p - 40. Let i be c(7). Let m be 1/(v/(-6) - i). Sort -2, 0, m. -2, 0, m Let x = 156 + -155. Sort x, -5, -4 in increasing order. -5, -4, x Suppose 5*y - 3 = 4*a, 3*y - 29*a = -25*a - 3. Let z(t) = -t - 5. Let c be z(-7). Put y, -2, c, 1 in increasing order. -2, 1, c, y Let m be (1 - 2) + 2 - 5. Let q be 285/(-15) + -1 + 9 + 9. Put 1, m, 5, q in descending order. 5, 1, q, m Let f = -88/15 - -21/5. Let h = 19918 - 19918.03. Sort f, 1, h, 1/5. f, h, 1/5, 1 Let z = -0.28 - -0.48. Let l = -1.8 - z. Put -0.1, 2/5, l in decreasing order. 2/5, -0.1, l Let r = 16.2 + -0.2. Let n = -17 + r. Suppose -i - 8 = -4. Sort 1/2, i, n. i, n, 1/2 Let t = 116 - 116. Sort 145, t, -1, 3 in ascending order. -1, t, 3, 145 Suppose 591*d - 623*d + 64 = 0. Let s = 2 + -3. Sort 5, d, -13, s in decreasing order. 5, d, s, -13 Suppose 3*v - 1193 - 448 = 5*x, 0 = 4*x - v + 1310. Let j = x - -4253/13. Put j, -7, -3/4 in increasing order. -7, -3/4, j Suppose 3*b + 5*b = 8. Let n be (b/(-5) - -1)*5/2. Put -3, 9, n in ascending order. -3, n, 9 Let h = 3 + 5. Suppose h*i + 7 = 39. Let v = 0.4 + 0.1. Sort i, -1/7, v in decreasing order. i, v, -1/7 Let y = -61 - -83. Let o = y - 23. Sort 4, 3, o in increasing order. o, 3, 4 Let n(l) = -l**2 + 2*l + 46. Let h be n(-6). Sort 2, -1, h in decreasing order. 2, -1, h Let c be 2/(1/((-3)/(-2))). Suppose 4*k = -c*h + 26, -h = 2*k - 7 - 5. Suppose -3*n = h*n + 25. Put n, 1, 5 in descending order. 5, 1, n Let z = 9 + -115/13. Let n = -56/9 - -6. Sort z, -4/9, 8, n in increasing order. -4/9, n, z, 8 Let w = 54 + -78. Put -1, w, 3/7, 0.2 in decreasing order. 3/7, 0.2, -1, w Let p = -49.23 + 49. Let d = -0.77 + p. Sort d, 1, 2/3. d, 2/3, 1 Let r be (-2 + (-175)/(-10))*(-1 + 3). Let z be (-7)/(-42) - r/6. Put z, 2, -0.4 in ascending order. z, -0.4, 2 Let t = -299/76 - -70/19. Put 0.2, t, 1/4, -2 in descending order. 1/4, 0.2, t, -2 Suppose -47 - 53 = -10*x. Let c be (12/(-8))/3*x. Sort 5, 0, 1, c in increasing order. c, 0, 1, 5 Let p = 203.9838 - -0.0162. Let x = 202 - p. Let r be 2/10*(0 + -1). Put x, r, 3 in descending order. 3, r, x Let w be (-48)/90*1/(-2). Put -2/11, 0.5, w in ascending order. -2/11, w, 0.5 Suppose -52*g + 53*g - 4 = -v, 3*v + 12 = 3*g. Suppose -s + 5*s = 12. Let i be -9*(-1 - (-2)/s). Sort i, 1, v in descending order. i, 1, v Let b = 393 - 392. Put -2, -31, b in descending order. b, -2, -31 Let p be (9 + -14)*(1 - 2 - 0). Put p, 3, -4, 4/9 in increasing order. -4, 4/9, 3, p Let m be (-450)/(-8) - 1 - 1/4. Let n = -54 + m. Sort 0, 2, n, 4. 0, n, 2, 4 Let t = 5 - 9. Let l(k) = -k**3 + 6*k**2 - 10*k + 3. Let d(i) = -4*i**2 - 19*i + 9. Let g be d(-5). Let u be l(g). Put t, u, 3 in increasing order. u, t, 3 Let p be (-3 - -2)*(-9)/(-3). Let j = -4 - -28. Let o = j - 21. Sort p, 0, o in descending order. o, 0, p Let z = -90 + 87. Let d be 10/1*4/10. Let n = -47/5 + 54/5. Put d, z, n in ascending order. z, n, d Let b = 2008777/44 + -45652. Let x = -14/11 + b. Sort -15, x, -4. -15, -4, x Suppose 4*c = -3*w - 14, -2*c = -3*w + 2*c + 2. Let z = 7 + w. Let f = -14 + 8. Put z, f, -1 in descending order. z, -1, f Let x = 6 + -29. Let m = 22.5 + x. Sort -2, m, -3 in ascending order. -3, -2, m Let p = -41 - -40. Let o = -1 + 1.4. Let g = o - 0.3. Put p, g, 2/5 in descending order. 2/5, g, p Suppose -y + 15 = -3*n - 2*n, -12 = -3*y + 4*n. Sort 1, -1, -5, y in descending order. 1, y, -1, -5 Let h = -136 - -90.5. Let z = -45 - h. Sort z, 5, 4, -2/23 in decreasing order. 5, 4, z, -2/23 Let a be 1 - 3 - -2*3. Let y = -26 - 63. Let w = y - -90. Sort w, -4, a in decreasing order. a, w, -4 Let l = -13 - -8. Let y(v) = v**3 - 11*v**2 - 5*v + 6. Let g be y(11). Let f = g - -51. Put f, l, 1 in decreasing order. f, 1, l Let n = -8.95 + 6.95. Put n, 2.2, -5 in ascending order. -5, n, 2.2 Let p = -5033 + 5031. Let a be -3*1 - (-1 - -2). Sort 0, a, p. a, p, 0 Let a be 3 + -4 + 0 - -2. Put -1, -5, a in descending order. a, -1, -5 Let h = -0.2348 - -0.0648. Sort -2, h, -1, 0.2 in ascending order. -2, -1, h, 0.2 Let c(a) = 3*a + 8. Let k be c(8). Let j = -32 + k. Put j, 4, -4 in descending order. 4, j, -4 Let n be (-2 + (-24)/3)*9/18. Let m be 26/(-65) - 17/n. Let y = -3 + -1. Put y, 2, m in decreasing order. m, 2, y Let h(c) = 2*c**2 - 35*c + 20. Let u be 4 + (3 - (0 - 10)). Let t be h(u). Sort t, 0, -4 in increasing order. -4, 0, t Suppose f + 27*c - 1 = 24*c, 3*c + 5 = -4*f. Let y(m) = -m**2 - 6*m - 1. Let w be y(-5). Sort 3, w, -3, f in descending order. w, 3, f, -3 Let t = -1322 - -1321.87. Sort 2/11, 3, -2/5, t in descending order. 3, 2/11, t, -2/5 Let p = 6 - 3. Let c = -401 - -1603/4. Put 5, c, p, -1/12 in descending order. 5, p, -1/12, c Let d = -38 + 42. Suppose -d*l - l + 5 = 3*r, -5*r = 5*l - 5. Sort l, 3, 4 in descending order. 4, 3, l Let z be 64/(-432)*-9 - 0. Let h = -43/21 + 12/7. Sort z, h, 0.3 in ascending order. h, 0.3, z Suppose 2*c + 4*a = -58, -4*a = 5*c - 2*a + 137. Sort c, 5, 0, -1 in decreasing order. 5, 0, -1, c Suppose -2*s + 50 =
{ "pile_set_name": "DM Mathematics" }
70 = 13*b. What is the remainder when b is divided by 16? 13 Suppose 24 = 6*i + 6. Suppose x - 3 - i = 0. Let q(n) = n**2 - 9*n + 28. What is the remainder when 18 is divided by q(x)? 8 Let m(r) = -70*r**2 - 348*r + 31. Calculate the remainder when 9489 is divided by m(-5). 18 Suppose s - 16 = -3*s. Let p(o) = 18*o + 7. Suppose 12*i + 1 = 13*i. Calculate the remainder when p(i) is divided by s. 1 Let w = -5695 + 7189. What is the remainder when w is divided by 75? 69 Suppose 28*b + 738 = 2642. What is the remainder when (-153)/(-68)*(2 + b/6) is divided by 4? 2 Suppose 1876*b = -1879*b + 3760*b - 45. Suppose -3*p + 28 = -125. Calculate the remainder when p is divided by b. 6 Suppose 0 = -5*n + w + 5014, 2*n = -w + 1002 + 998. Let h = n + -980. Let s = 40 - -45. What is the remainder when s is divided by h? 19 Let h(k) = 7*k**3 + 88*k**2 - 50*k + 16. Calculate the remainder when h(-13) is divided by 37. 11 Suppose 5*d = -5*u + 7730, -u = -375*d + 379*d - 1549. Calculate the remainder when u is divided by 155. 150 Suppose -260 - 179 - 257 = -6*h. What is the remainder when 4517 is divided by h? 109 Let j(t) = -106*t + 100. Calculate the remainder when j(-7) is divided by 280. 2 Let d be (-7 - -4) + (-93)/(-3). Let v = d + -27. What is the remainder when 49 - v/((-1)/(-3)) is divided by 18? 10 Let s(o) = 2161*o - 27914. Let u(p) = -35*p**3 + p**2 + p + 1. What is the remainder when s(13) is divided by u(-1)? 35 Suppose 0 = -3*h - 1463 + 4256. Suppose -20*z + h - 31 = 0. Suppose -64 = -5*a + 1. Calculate the remainder when z is divided by a. 6 Let x(b) = -2*b**2 + b - 2*b - 8*b - 3 + 5*b - 10*b**3. What is the remainder when x(-2) is divided by ((-4)/(-5))/(1/25)? 17 Let n(l) = 26*l**2 + 69*l + 95. What is the remainder when n(-3) is divided by ((-225)/(-20))/((-2)/(-8))? 32 Suppose -173 + 201 = 7*r. Suppose r*l + p - 85 = 11, -72 = -3*l - 5*p. Calculate the remainder when 143 is divided by l. 23 Let y(s) = 7*s**3 + 48*s**2 - 6*s + 22. Calculate the remainder when 3402 is divided by y(-7). 12 Suppose -4*m + 9*m + 2*t + 5150 = 0, -3*t = 2*m + 2060. What is the remainder when (m/9)/(-2) + (-64)/288 is divided by 9? 3 Let r(q) = -27*q**3 + q**2 - 251 - 5*q + 73*q**3 + 4*q + 252. Calculate the remainder when r(1) is divided by 25. 22 Suppose 3*i + w = -5, 4*i - w + 11 = 2*w. Let x be (-18)/(-24) + (-111)/(-12) + i. What is the remainder when 67 is divided by (34*(-2)/10)/(x/(-20))? 16 Suppose -o + 2 = 2*y, 0 = -4*o - 3*y + 9 + 24. What is the remainder when 898 is divided by o? 10 Let d = 2761 + -2731. What is the remainder when 124 is divided by d? 4 Let n = -90 - -135. Let h(j) = -j - 3*j + 8*j + 305 + j + j. What is the remainder when h(-6) is divided by n? 44 Let v(m) = 4*m**2 - 1724*m - 5160. Suppose -k = -6*k - 5*y + 875, -5*k + 3*y + 907 = 0. Calculate the remainder when k is divided by v(-3). 35 Let d(b) = -4*b**3 + 166*b**2 + 10*b - 197. What is the remainder when d(41) is divided by 211? 199 Let o be 7 + (2/(-5) - 12/(-5)). Suppose -d = -4*d - 6, z = 2*d + o. Suppose 192 + 363 = z*t. Calculate the remainder when t is divided by 19. 16 Suppose -2*i + 4*a = -106, -4*a = -2*i + 3*i - 59. What is the remainder when 375 is divided by 4/(-4) - (7 - i)? 46 Calculate the remainder when 118 is divided by 10/150*-6 - 685/(-25). 10 Suppose -8*w = 15760 - 15864. Calculate the remainder when 258 is divided by w. 11 Let g be (-2064)/(-80)*(4 - -1). Calculate the remainder when (-8 - (-5 + -4))*(g - -1) is divided by 11. 9 Suppose -3*b + 1770 + 567 = -v, 2*b - 1566 = -2*v. Calculate the remainder when 175/10*b/35 is divided by 17. 16 Let s(i) = i**3 - 206*i**2 + 29*i - 5883. Let a(g) = 59*g - 1. What is the remainder when a(6) is divided by s(206)? 80 What is the remainder when 438 is divided by (321/6)/((15/(-30))/(-1 + 0))? 10 Let n(u) = -54*u - 7. Suppose 8*z + 2*f = 7*z + 58, f + 2 = 0. Calculate the remainder when n(-7) is divided by z. 61 Let r(h) = -22*h + 3. Calculate the remainder when 111 is divided by r(-2). 17 Let j = 618 + -663. What is the remainder when 201 is divided by 68*(j/(-36) - 1)? 14 Suppose 221*n + 339 = 227*n - 531. Calculate the remainder when 1738 is divided by n. 143 Suppose 31 = 5*q - 2*q + 2*a, 5*q + 3*a - 52 = 0. What is the remainder when ((-2 + -3)*4/(-30))/(2/147) is divided by q? 5 Let y(c) = -c - 133. Let f(n) = -14*n - 1596. Let t(g) = -3*f(g) + 35*y(g). Calculate the remainder when 113 is divided by t(-12). 15 Calculate the remainder when ((-116871)/1793)/(-1*1/11) is divided by 161. 73 Suppose 2*w + 5*c - 479 = -w, -4*w + 2*c + 682 = 0. What is the remainder when 350 is divided by w? 14 Suppose 2*l + 4*u = 134, 59*u = -3*l + 60*u + 187. Suppose -3*g = -13 - 2. Calculate the remainder when l is divided by g. 3 Let y = -45 + 30. What is the remainder when 56 is divided by ((-15)/10)/(y/(-24) + -1)? 0 Let b(j) be the third derivative of -j**6/120 - j**5/10 - j**4/6 - 7*j**3/3 + 57*j**2. Let y = 61 + -23. Calculate the remainder when y is divided by b(-6). 8 Let m(y) = -y + 12. Let u be m(9). Suppose -u*j + 603 = 3*n, 8 = n - 3*j - 201. Calculate the remainder when n is divided by 51. 50 Let o(i) = i**3 + 23*i**2 + 62*i + 119. Calculate the remainder when 1082 is divided by o(-20). 55 Let t(k) = 266*k**3 - k**2 - 2*k - 2. Let z be t(-1). Let r = -228 - z. Calculate the remainder when 270 is divided by r. 36 Suppose 2*j = -n - 9, -2*j = -7*j + 10. What is the remainder when 80 is divided by (n + (-5 - -9))/(2/(-6))? 26 Let x = 71 - 46. Suppose 42 = 3*f - 3*n, 0*f = -2*f + 3*n + x. Calculate the remainder when 101 is divided by f. 16 Suppose 0 = -5*j - 0 - 5, 4*j - 5 = -3*g. Suppose 4*p - 552 = -4*o, -7*p - 430 = -g*o - 6*p. What is the remainder when o is divided by 29? 26 Suppose 93 = -i + 4*i. Let u = -8641 + 8786. What is the remainder when u is divided by i? 21 Suppose -148 = -4*n - 4. Suppose b = 5*k + 12 - 72, -5*b = -k + n. Suppose -15*r + 272 = -k*r. What is the remainder when r is divided by 23? 22 Suppose -109*c + 5*c = 19*c - 7503. What is the remainder when 100 is divided by c? 39 Let o(c) be the first derivative of 21*c**2/2 - 22*c - 1. Suppose 5 = 2*q + i, 25*q - 4*i - 19 = 20*q. What is the remainder when o(q) is divided by 31? 10 Let g(k) = 2*k - 5. Let y be g(5). Suppose 8*i = y*i + 36. Let p = -39 + 86. What is the remainder when p is divided by i? 11 What is the remainder when (-781)/(-10) + 48/(-480) is divided by 27? 24 Let n(p) = -4*p**3 - p**2 - 2. Suppose 42*j - 35*j - 21 = 0. Let t be n(j). Let h = t + 126. What is the remainder when 7 is divided by h? 0 Let r(x) = 51*x - 40. Let a(v) = -55*v + 41. Let m(c) = 5*a(c) + 6*r(c). Calculate the remainder when 104 is divided by m(2). 23 Suppose 2*h + h + 4*z - 22 = 0, -5*z + 17 = 3*h. Suppose -2*b = -5*m - 72, -4*m + 49 = -86*b + 87*b. Calculate the remainder when b is divided by h. 13 Let f(t) = -t**3 - 6*t**2 + 17*t - 2. Let d be f(-10). Suppose -d*p + 233*p - 220 = 0. Calculate the remainder when 171 is divided by p. 39 Let r(q) = q**2 + 114*q + 696. Let s(x) = -9*x + 1. Calculate the remainder when r(-6) is divided by s(-3). 20 Let b = -3154 + 3361. Let y = -14 - -25. What is the remainder when b is divided by y? 9 Suppose 4*i - 38 = -q, 2*q + 3*i - 91 = -30. Let s be 3/(-9)*-3*3. Suppose 0*j + s*j - 21 = 0. What is the remainder when q is divided by j? 5 Let c be 1 + 3/((-12)/16) - -5460. What is the remainder when c/357 - 4/14 is divided by 11? 4 Suppose 0 = -j + b - 37, 2*b = -4*j + b - 168. Suppose 1420 = -25*m - 730. Let o = j - m. Calculate the remainder when o is divided by 16. 13 Suppose -2*y = -5*y + 66. Suppose 24*x + 7*p + 21 = 29*x, 4*p - 28 = 0. Calculate the remainder when y is divided by x. 8 Suppose -3 = q, -8*q + 4*q - 151 = -i. Let a = -1 - 82. Let f = a + 118. What is the remainder when i is divided by f? 34 Let t be (4 + 19)*-1 - -3. Let z be (-2 - 7)*t/(-15). Calculate the remainder when 34 is divided by ((-24)/(-32))/((-1)/z). 7 Let r(f) = f**2 - 3*f + 141. Let a be r(0). Let d = 164 - a. What is the remainder when d is divided by 13? 10 Let j = -1885 + 1893. Let l(n) = n**2 + 4*n + 7. Let t(u) = 2*u + 7. Let p be t(-7). What is the remainder when l(p) is divided by j? 4 Let g(o) = 2*o**3 + 31*o**2 - 10*o + 84. What is the
{ "pile_set_name": "DM Mathematics" }
ose -8 = -8*f - 40. What is the nearest to -8 in -0.4, f, -3/2? f Let y = -15 + 9.3. Let z = -6 - y. Let f = -169 + 1185/7. Which is the closest to 0.1? (a) 3/2 (b) f (c) z b Let c = -3/5 + 4/5. What is the nearest to 2/3 in c, -2/3, -1/3? c Let h = -9 - -10. Which is the nearest to h? (a) -2 (b) 5 (c) 0 c Let k be (71/12)/((-9)/90). Let q = 59 + k. Let c = -0.1 + 0.5. What is the closest to q in c, 4, -4/5? c Let v(o) = o**2. Let h(f) = 3*f - 7. Let u(g) = h(g) + v(g). Let w be u(-5). Which is the nearest to -2/7? (a) -1 (b) w (c) 5 a Let k = 1/28 + -61/140. What is the closest to k in 1/6, -5/3, -2? 1/6 Let m be 0 - ((-15)/(-17) + -1). Let p = 1.3 - 0.3. Let v = p - 1.1. What is the closest to v in -4, m, 4? m Suppose 5*o + 3*j - 27 = 0, -2*o + o = -4*j - 10. Suppose 4*n + 28 = x + 10, -4*n - 5*x = o. Which is the closest to 2/3? (a) -0.1 (b) n (c) 2/9 c Let x be (-8)/24*18/16. Which is the nearest to -1/2? (a) -0.1 (b) 5 (c) x c Suppose 0*s = 5*s + 55. Let m = s - -12. Suppose 3*l = o, -l + 0 - 4 = o. What is the nearest to 1 in o, m, -4? m Let p(q) = -q + 3 - 1 + 0 + 10. Let h be p(11). Let t = 3 - 2.9. Which is the nearest to t? (a) -2 (b) h (c) -0.3 c Suppose -v - 3*w = -2*w + 5, -5*w = 4*v + 25. Let f be 1/(2 - (-9)/(-4)). Which is the nearest to 1? (a) v (b) f (c) -2 a Suppose -3*v + 5*d - 8 = 0, 8*d - 32 = -3*v + 3*d. Let n be ((-2)/v)/((-15)/(-6)). What is the closest to -1 in -2, n, -0.3? -0.3 Let v be (-4)/42*(-28)/(-12). What is the nearest to v in 0, -1/4, 2/3? -1/4 Let j = 0.2 + 0.1. Let w = -0.2 - j. Suppose -3 = 4*o - 7*o. Which is the closest to o? (a) 0.5 (b) w (c) -2 a Let h = -14 + 7. Let y = h - -7.3. Let v be -6 + 4 + 6/4. What is the closest to v in 4, y, -2/13? -2/13 Let n = 23 - 19. What is the nearest to -0.04 in n, -3, -2/5? -2/5 Let j be (-3)/(-6) - 2/(-4). Let x be (-34)/(-9) + 4/18. Which is the nearest to j? (a) 2/11 (b) x (c) -2/11 a Let h = 0.04 - -2.96. What is the closest to -1/3 in 4, 3/7, h? 3/7 Let j = 2.1 - 2. Let r = 43/14 + -39/7. Let p = 67 - 271/4. Which is the closest to j? (a) p (b) r (c) 4 a Let u be ((-6)/(-5))/(3/(-10)). Let y = 0.3 + -0.2. What is the closest to y in u, 2, -2/5? -2/5 Let d = 4.2 + -4. Let m be 10/(-3) + (-3)/(-9). What is the nearest to 1/4 in 1/6, m, d? d Suppose 2*s + 8 = 6*s. Let x be 30/(-26) + -1 + s. Which is the closest to 1? (a) x (b) -3 (c) -2/19 c Let v = -0.076 - 0.024. Which is the nearest to -2? (a) 1/10 (b) 0 (c) v c Let i be (-24)/90*7 - -2*1. Which is the nearest to 0.1? (a) i (b) -3 (c) -1/5 a Let j = 10.83 + -11. Let a = j + 0.27. Let r be (-2)/(-8) - (-3)/4. What is the nearest to a in r, -5, -0.4? -0.4 Let z = 793/8 - 99. Let v = -307.6 + 308. Which is the nearest to v? (a) -2 (b) z (c) -0.3 b Suppose 2*x = 3*o - 14, -2*o + 7*o = 5*x + 30. Suppose 0*c = o*c + 2. Let j(i) = -2*i + 2. Let k be j(3). What is the closest to c in 4, -1/3, k? -1/3 Let r = -0.22 + 2.82. Let u = r + -2. Let h = u + -0.8. Which is the closest to 1? (a) h (b) -0.5 (c) -5 a Suppose 5*s - 10 = 0, 3*z + 3*s = 6*z + 3. Let i be -1 + 10/3 + -2. Which is the nearest to z? (a) 0.5 (b) i (c) 4 a Let x = 1.2 - -1.3. Let n = 0.5 + x. Which is the closest to -1? (a) n (b) 2 (c) 3/2 c Let x = -4.6 + 5. Let n = x + -1.4. Let o = -7 + 7.3. What is the nearest to n in o, 4, 0.5? o Let x = 1.7 + -1.75. Let w = x - 3.95. Which is the closest to -0.1? (a) 2 (b) 0.3 (c) w b Let o = -14 + 14.1. Which is the closest to o? (a) 1/2 (b) -1/4 (c) -1 b Let i = -6 + 6.2. Let o = 0.4 - i. What is the closest to o in 0.3, -1/7, -4? 0.3 Let r = -21 - -36. Let u = r - 15. Let s = -0.8 - 2.2. Which is the closest to u? (a) 5 (b) s (c) 0.5 c Let w = 1 + 2. Let m(r) = r**2 - 2*r - 1. Let u be m(w). What is the nearest to -2/7 in 2/15, u, -1? 2/15 Let j = -5.4 + -4.4. Let g = 11 + j. Let l = -1 + g. Which is the nearest to -0.1? (a) 2 (b) 0 (c) l b Suppose 3*l = 2*l + 2. Let y be 8/5 - l/(-5). Which is the closest to y? (a) -2 (b) -0.1 (c) -3 b Let s = 0.5 + 2.5. What is the nearest to -0.1 in 1, s, -0.1? -0.1 Let j be 2/6 - 434/6. Let h = j - -149/2. Which is the nearest to -1? (a) 0.4 (b) h (c) -2 c Let o = 28 + -24. Which is the closest to -2/7? (a) -4 (b) 4/5 (c) o b Let p = -90.1 + 90. Which is the nearest to -3? (a) 0.02 (b) p (c) 0.5 b Suppose -4 = -5*w + 3*w. Let v = 2.1 - 2. Let d = 0.9 - 0.9. Which is the closest to v? (a) -0.1 (b) w (c) d c Let h = 0 - 0.3. Let l = -2 + 11/5. Which is the nearest to -0.2? (a) h (b) 2/21 (c) l a Let i = -47 - -54.9. Let n = i - 8. Let y = 0.1 - 0. Which is the closest to y? (a) n (b) 4 (c) -1 a Let n = -7.04 + 7. Let t = n - -0.04. What is the nearest to t in 5, 0.5, -4/5? 0.5 Suppose 4*j - 8 = -3*g, -10 = -5*j - 0*g + 5*g. Which is the nearest to 0.2? (a) 0.3 (b) 3 (c) j a Let d(k) = 2*k**2 + 4*k. Let y be d(-2). What is the nearest to y in -0.2, -5, 3? -0.2 Let n = 0.9 + -1.02. Let s = n + 0.12. Let c = 8 - 8.3. What is the nearest to s in 1/3, c, -1/6? -1/6 Let u = -10.4 - -10.6. What is the closest to u in 3, -5, -0.4? -0.4 Let x = -12.9 + 13. Let y be ((-1)/4)/(1/6). Which is the nearest to x? (a) 1/3 (b) y (c) 2 a Let t = -26 + 29. What is the nearest to 1/2 in t, 1/2, -0.4? 1/2 Let i be (72/(-15))/(42/20) + 2. What is the nearest to -0.1 in i, -0.5, 5? i Let p be (-33)/54 + (-1)/(-2). Let b = 10 + -14. Let y = 6 - 3. What is the nearest to 2/3 in b, y, p? p Let p = 0.7 + 0.3. Which is the closest to -2? (a) p (b) 4 (c) -0.5 c Let c = -3/4 - 1/20. What is the nearest to 5 in 0, c, -2/15? 0 Let n = 0.26 - -0.04. Let h(q) = q**2 + 12*q - 13. Let u be h(-13). Which is the closest to -2? (a) n (b) u (c) -0.1 c Let q be (2 + -2)*(-1)/1. Let m = -7/61 + -833/183. Let j = 5 + m. Which is the nearest to q? (a) -2/11 (b) -3 (c) j a Let t = -2.9 + 3. Let p = -0.2 + t. Let q be -4*(-3 - -4)/(-2). Which is the nearest to p? (a) -4 (b) 1/4 (c) q b Let x = -27 - -30. Let i = -10/163 - -616/4727. Which is the nearest to 0? (a) x (b) 4 (c) i c Let k = -521 - -518. Let q = -0.1 - 0.9. Which is the closest to q? (a) 0.3 (b) 0.1 (c) k b Suppose 4*u + 5*x + 40 = 0, -4*u - x = -6*x. What is the closest to 0 in u, -4, -2? -2 Let m = -517/4 + 130. Which is the closest to -5? (a) m (b) 0.5 (c) -0.2 c Let d be (40/16)/(2/(-4)). Which is the nearest to 0.04? (a) -4 (b) d (c) 2 c Let k = -0.8 + 1.1. Which is the nearest to -0.2? (a) 5 (b) -0.5 (c) k b Let o = -9 - -12. Which is the nearest to 2/9? (a) -1/3 (b) o (c) 0.3 c Let u = -10.8 - 1.2. Let v = u - -8. Let q = -0.5 - -1. Which is the nearest to -0.1? (a) v (b) q (c) 3/7 c Let i = -18 + 21. Which is the nearest to -2/7? (a) i (b) -0.1 (c) 1/2 b Let f(p) = p + 1. Let q be f(1). Suppose -3*y + y = -5*u + 21, 0 = q*u - y - 8. Which is the closest to 0? (a) u (b) -1 (c) -1/5 c Let u = 95 + -96. What is the closest to 18 in 5, 0.3, u? 5 Let k(l) = l**2 - 9*l + 7. Let d be k(8). Which is the closest to -2/15? (a) -0.3 (b) d (c) -2/13 c Let g = 2.1 + -2. Let j = -1.42 - -0.22. Let r = j - 1.8. Which is the closest to g? (a) 0.3 (b) -2 (c) r a Suppose 3*x + 32 = 2. Let v be (x/(-4) - 3)/(-1). Let a = 0.1 - 0.2. What is the closest to a in 2, v, -1/4? -1/4 Let g = -0.54 - -0.44. Let r = -0.04 - 0.36. Which is the nearest to g? (a) -0.5 (b) 1/4 (c) r c Let j be 3/15 - (-48)/10. Let p = -4 - 0. Let x be ((-2)/(-8))/((-11)/p). Which is the nearest to -0.1? (a) x (b) -5 (c) j a Let p = -43/2 + 21. Let u = -3.9 - 0.1. Let s = u + 5. What is the closest to s in -0.3, p, 2/7? 2/7 Let s be -1 + 5/((-105)/(-12)). Which is the nearest to -2? (a) -1 (b) -0.5 (c) s a Let k = -7.5 + 7. Let w = k - 0. What is the closest to -1/2 in 0.5, w, 1? w Let x be (1 - 0) + (0 - 1). Let r(n) = n**2 + 6*n - 8. Let j(t) = -t - 4. Let k be j(3). Let w be r(k). Which is the closest to -1? (a) w (b) 2 (c) x a Let t = -23 + 23.042. Let y = t + -5.642. Let g = y - -6. Which is the closest to -2/7? (a) -5 (b) -0.2 (c) g b Let o = -0.01 + 2.01. Let h = 3 - o. Which is the closest to 0.1? (a) -2/21 (b) 2/5 (c) h a Let k = -0.12 - -6.12. Let s = k - 4. Suppose -n - 9 = 4*v, -3*v - 5*n - 8 = 3. Which is the nearest to 1? (a) 0.1
{ "pile_set_name": "DM Mathematics" }
9928. Let f = h - o. Round f to 7 decimal places. 0.0000007 Let q = 0.3 + -1.7. Let p = -16.54 + 17. Let z = p + q. What is z rounded to 1 decimal place? -0.9 Let h = 394 - 659. Let f = -154.2992 - 110.677. Let t = h - f. What is t rounded to three decimal places? -0.024 Suppose -990398 = -2*i + 3218050. Let f = -3264224 + i. What is f rounded to the nearest 100000? -1200000 Let u = 101 + -43. Let g = u + -57.9865. What is g rounded to three dps? 0.014 Let k = 2.36 - 2.359. Round k to 3 dps. 0.001 Let d(x) = -2*x - 12. Let b be d(-9). Suppose -382510 - 7490 = b*w. What is w rounded to the nearest ten thousand? -70000 Let m = -2653 + 2690.335. Let u = 0.165 + m. What is u rounded to 0 decimal places? 38 Let a = 0.043 + -0.0795. Let s = a + 4.2265. Let n = -2.36 + s. Round n to one decimal place. 1.8 Let k(j) = 561120*j + 80. Let p be k(-9). What is p rounded to the nearest 100000? -5100000 Let g = 1107 - 1106.903. Round g to 2 decimal places. 0.1 Let n(s) = -7*s + 16. Suppose 8 - 48 = -5*z. Let l be n(z). What is l rounded to the nearest 100? 0 Let q = -1.4 + -10.6. Let a = q + 12.00085. What is a rounded to 4 decimal places? 0.0009 Let d = 0.03 - 2.63. Let x = 2.599998 + d. What is x rounded to five decimal places? 0 Let z = 1071.9999939 - 1072. What is z rounded to five dps? -0.00001 Suppose -6*f = -f - 25. Suppose 0 = 5*o - 3*a - 15000000, -a - 4977031 = f*o - 19977031. Round o to the nearest one million. 3000000 Let a = -0.115 + -154.885. Let i = a + 154.99999846. What is i rounded to seven dps? -0.0000015 Let i = 11.1 + 79.9. Let x = 354 - i. Let j = -262.9722 + x. What is j rounded to three dps? 0.028 Let z = -0.0038 + 0.0573. Round z to two decimal places. 0.05 Let k = -112.0000004 - -112. Round k to seven decimal places. -0.0000004 Let u = 885 + -1319. Let k = 433.779 + u. Let f = k + 0.21917. Round f to four dps. -0.0018 Suppose -10*l + 20*l - 19800 = 0. What is l rounded to the nearest 1000? 2000 Let c = -0.8715 + 1.097. Round c to 2 dps. 0.23 Let y = -12.14 + 11.83. Round y to one decimal place. -0.3 Let f = -662 + 2328. Let q = f - 2376. What is q rounded to the nearest one hundred? -700 Let j(h) = -13*h**2 - 6*h**3 + 7*h - 16*h + 10*h - 38 - h**2. Let x be j(-18). Round x to the nearest 10000. 30000 Let d = 548531 - 548473.0138. Let v = 4.1 + 53.9. Let m = d - v. Round m to three decimal places. -0.014 Let m = 1 - 0.88. Let y = -0.11 - -0.06. Let s = m - y. Round s to 1 decimal place. 0.2 Let i = -523.91 + 489.9. Let z = 309 - 343. Let d = z - i. What is d rounded to 2 decimal places? 0.01 Let q = -582 - -680.4. Round q to the nearest ten. 100 Let i = -24.1 - -23.967. Let l = 0.1164 + i. What is l rounded to three dps? -0.017 Let u = 4925 + -4941.992. Let m = -17 - u. What is m rounded to 2 dps? -0.01 Let y = -0.0152 - -396.0152. Let t = 395.99767 - y. Round t to four dps. -0.0023 Let n = -35.9 - -185.9. Let s = n + -83. Let w = s - 67.00079. Round w to four dps. -0.0008 Let n = 141.057 + -142.2. What is n rounded to one decimal place? -1.1 Let y = -6109 + 6108.70996. Let r = -0.29 - y. What is r rounded to four decimal places? 0 Let y(p) = 10*p + 5. Suppose 9 + 11 = 2*x. Let w be y(x). Round w to the nearest 10. 110 Let q = -83 + 79.67. What is q rounded to the nearest integer? -3 Suppose -4*z = -3*n + 2827, -13 = -5*n + 12. What is z rounded to the nearest one hundred? -700 Suppose 85*y - 40368000 = 205*y. What is y rounded to the nearest 100000? -300000 Let g = -7269 + 7273.919. Round g to the nearest integer. 5 Let a = -20.7 + 0.7. Let k = -29 - a. Let l = 8.999975 + k. What is l rounded to 5 dps? -0.00003 Let l = 338 - 338.00000476. Round l to 7 dps. -0.0000048 Let t(p) = -34669*p + 14. Suppose -4*n + u = -20, 0 = -u + 6*u - 20. Let d be t(n). Round d to the nearest one hundred thousand. -200000 Suppose 4*n - 174984409 - 40215591 = 0. Round n to the nearest 1000000. 54000000 Suppose -9*d - 49 = 5. Let b(y) = 69*y - 56. Let w be b(d). Round w to the nearest ten. -470 Let q = -148.05 + 12.85. Let t = q + 148. Let z = 23.1 - t. Round z to the nearest integer. 10 Let z = 36 - -46. Let t = -81.951 + z. Let m = -0.05 + t. What is m rounded to two decimal places? 0 Let y = -1372863.14300035 + 1372863. Let w = 0.143 + y. Round w to 7 decimal places. -0.0000004 Let h = -36 + 35.66. Let z = 0.3399997 + h. What is z rounded to 6 dps? 0 Let a = 65.45556 - 16.45505. Let h = -11.2 + 60.2. Let j = h - a. Round j to four dps. -0.0005 Let m = -2402694202.307234 + 2402696263. Let y = m + -2074.29276543. Let r = y + 13.6. Round r to 7 decimal places. 0.0000006 Let t = 500539 - -232187. Suppose 2*j = t + 395352. Let w = 254039 - j. Round w to the nearest 100000. -300000 Let n = -29617755702 + 29617758200.93999976. Let l = -2499 + n. Let g = l - -0.06. Round g to seven decimal places. -0.0000002 Suppose -3*m - 8 = -7*m. Suppose -m*r - 884 = 696. What is r rounded to the nearest one hundred? -800 Let j = 780671212 - 780671130.0000143. Let o = j + -82. What is o rounded to six dps? -0.000014 Let u = 1285 + -1243.32. Let h = u + -0.88. Round h to 0 decimal places. 41 Let u = 45.3 - 16.7. Let a = 26.61 + -0.61. Let r = u - a. Round r to the nearest integer. 3 Let u = -4.203 - -7.454. What is u rounded to the nearest integer? 3 Suppose -23*n = -343108636 - 265471364. What is n rounded to the nearest one million? 26000000 Let r = -559.774 + 561. What is r rounded to 1 dp? 1.2 Let y = 458 - 469.85. Round y to 1 decimal place. -11.9 Let d(h) = 3*h**2. Let c be d(-1). Let f(w) = -w**2 - 2*w**c + 3*w**3 + 2*w**2 + 10*w**3. Let a be f(4). Round a to the nearest 100. 700 Suppose 0 = -3*t + 3*f + 240309, 4*t + 44*f = 42*f + 320394. What is t rounded to the nearest ten thousand? 80000 Let f = -28 + 27.8. Let g = f + 0.199964. Round g to 5 dps. -0.00004 Let t = -110 - -110.0000383. Round t to 5 decimal places. 0.00004 Suppose -2*o + 53567 = 3*b, 4*o - 2*o - 3*b - 53585 = 0. Suppose -20084 = -3*t - 4*n, -3*t = -7*t - 3*n + o. What is t rounded to the nearest 1000? 7000 Let x = 953.46 - 960. What is x rounded to 0 decimal places? -7 Suppose 0 = -24*i - 85619 + 17675. What is i rounded to the nearest 10? -2830 Suppose -2*g + 2180000 = -4*h, -2*g = -3*h - 1007383 - 1172619. Let w be (-3 - -4 - 4 - 1) + g. Round w to the nearest one hundred thousand. 1100000 Let y = -251.809992 - -251.71. Let z = y + 0.1. Round z to five dps. 0.00001 Let b = -1100.8133 - -1101. Round b to 2 decimal places. 0.19 Let l = -60.6500929 + -3679044.6399071. Let y = l + 3679466.289793. Let a = y + -361. Round a to five decimal places. -0.00021 Let w = 0.005 - 0.075. Let c = 0.117 + w. What is c rounded to 1 decimal place? 0 Let r = -1.382 + 51.422. Round r to the nearest 10. 50 Let v = 99152 + -69652. What is v rounded to the nearest one thousand? 30000 Let z = 0.1327 + -0.0195. Round z to 2 decimal places. 0.11 Suppose 4*g = 2*w - 14, -4*w - g - 2*g + 6 = 0. Suppose w*f - m = -97294 - 538708, 3*m + 847994 = -4*f. Round f to the nearest ten thousand. -210000 Let n = 11.56817 - 12.058187. Let f = -0.49 - n. What is f rounded to six dps? 0.000017 Let r = 0.076 + -76.076. Let d = r + 63.7. Let h = d - -12.30118. Round h to 4 dps. 0.0012 Suppose -k + 37 + 48 = 0. Let s = 79 - -97. Let v = k - s. What is v rounded to the nearest ten? -90 Suppose -9*g + 8*g = -24. Let l = -40 + g. Let j be (-975992)/l - 1/(-2). Round j to the nearest ten thousand. 60000 Let d = 178 - 177.8752. What is d rounded to two dps? 0.12 Let z = 112.3634443 + -194.3634394. Let p = z - -82. What is p rounded to 6 decimal places? 0.000005 Let d(f) = 9437*f**3 - 4*f + 6. Let o(w) = 9437*w**3 - 3*w + 5. Let y(b) = 5*d(b) - 6*o(b). Let u be y(2). Round u to the nearest 10000. -80000 Let g = 183.887 + -184. Let k = g + 3.813. What is k rounded to the nearest integer? 4 Let s = -91 + 185. Let p = s - 93.999902. What is p rounded to five decimal places? 0.0001 Let z = 22.37 + -22. Let r = -12.1 - -12. Let n = z - r. Round n to 1 decimal place. 0.5 Let n be (0 + (-20358274)/3)*9/3. Let b = -11758274 - n. What is b rounded to the nearest 1000000? 9000000 Let y = 44 + -73. Let r = y - -27.7. What is r rounded to the nearest integer? -1 Let j = 23.7 + -23.5746. What is j rounded to two dps? 0.13 Let s = 96157.9978 - 96127. Let j =
{ "pile_set_name": "DM Mathematics" }
/15 and o? 165 What is the common denominator of (-6 + 1)*19/(-2) and 8/20 - (-321)/(-40)? 8 What is the common denominator of 4503/(-418)*(1 - 4/6) and 4/(-14) + (-114)/140? 110 Let r = -6 + 15. What is the smallest common multiple of r and 5? 45 Let i = -23 + 21. What is the least common multiple of 1 and 6 + -5 + 8 + i? 7 Suppose -42 = -0*n - 6*n. What is the smallest common multiple of 11 and n? 77 Suppose -58 = -2*b + z + z, -2*b - z = -61. Suppose -3*c - 6 = -b. Calculate the smallest common multiple of c and 74/9 - (-14)/(-63). 8 Suppose 144 = 4*n - 32. Let j(c) = -c**2 - 5*c - 2. Find the common denominator of j(4) and (-2 + 0)/(n/(-38)). 11 Suppose -3*z = -0*z - b - 15, b + 21 = 4*z. Let t(n) = -n**2 + 6*n + 1. Calculate the common denominator of t(z) and -39/2. 2 Let i(y) = y**2 + 8*y + 10. Let k be i(-5). Let c(s) = -6*s - 10. What is the lowest common multiple of c(k) and 22? 220 Suppose -z - 2*z + 153 = 0. Suppose 0 = -3*r + 66 + z. Suppose 0 = -2*v - 3*k + r, -2*v + 13 = -v - 5*k. Calculate the lowest common multiple of v and 16. 144 Calculate the common denominator of (1*45/(-25))/(-2) and -37/22. 110 Calculate the common denominator of 17/14 and (-14)/8*(-20)/6. 42 Let h(q) be the first derivative of 3*q**2/2 - 3*q + 3. What is the least common multiple of h(7) and 16? 144 Let c = -1 - -1. Suppose 0*k - k + 2 = c. What is the smallest common multiple of k and 6? 6 Let c(k) = -k**2 + 7*k + 10. Let n be c(7). Suppose -27 = -5*z - o, -6*z + 10*z = -o + 21. What is the common denominator of 68/3 and z/27 + n/(-3)? 9 What is the lowest common multiple of 0 + 1 + 0 - -9 and ((-4)/6)/((-2)/(-2))*-15? 10 Let l = 14596499/32774 + -26/2341. Let t = l + -3098/7. What is the common denominator of -35/6 and t? 42 Let r = 87 - 80. What is the least common multiple of r and 12? 84 Suppose -3*d = -2*d - 36. Suppose -5*o = -o - d. Calculate the smallest common multiple of o and 2. 18 Let o = 267/68 - 5177/340. Find the common denominator of o and (-1)/(-4) - 5/(180/633). 30 Find the common denominator of (-32)/(-176) + 621/(-88) and -73/9. 72 Suppose -9 + 24 = u. Calculate the least common multiple of u and 12. 60 Let n(m) = 2*m + 2*m + 0*m + 3 - m**2 - m. Let b be n(3). Suppose 2*p = 3 + b. What is the lowest common multiple of 3 and p? 3 Let h = -18 + -10. Let m = 2545 - 20293/8. Find the common denominator of h/(-70) + (-397)/(-20) and m. 8 Let q = -1/154 - 3118/77. What is the common denominator of q and -2 + (-85)/(-18) - -1? 18 Let c = 6 - 0. Let l be c/(-12)*(1 - 9). What is the common denominator of -83/8 and (-13)/(-4)*l/(-10)? 40 Let s = -519 + 2549/5. Find the common denominator of s and -6*(-3)/(60/(-38)). 5 Let h = -11 - -14. What is the smallest common multiple of 19 and h? 57 Suppose 20 = 2*a - 0*a. Calculate the least common multiple of a and (30/(-15) - (-13)/2)*4. 90 Calculate the smallest common multiple of (1 - (-10)/1) + -1 and 9. 90 Let i be (1 - 5)*3/(-6). What is the common denominator of (-4)/i + (-83)/(-20) and 3 + 71/12 + 0? 60 Let w = -293173996441/7185332 + 23230268/569. Let i = w + 4/3157. Calculate the common denominator of i and -7/6. 12 Let z = 1 - 7. Let s(n) be the third derivative of n**5/60 + n**4/6 - 2*n**3/3 + n**2. Calculate the lowest common multiple of 16 and s(z). 16 Let x(t) = t**3 - 3*t**2 - 11*t + 7. Suppose 0 = 6*u - 4*u + 2*n, 0 = 4*u + 3*n - 5. What is the lowest common multiple of 2 and x(u)? 2 Calculate the common denominator of 69/10 and ((-26)/3)/(-8 + 2). 90 Let k(x) = x**2 + 8*x + 11. Let j be k(-9). Suppose -j = -s - s. Calculate the least common multiple of s and 14. 70 Let s = 69 + -32. Calculate the common denominator of s and -43/38. 38 Let m = -797 - -11113/14. Let a = 181 + -3263/18. Calculate the common denominator of m and a. 126 Suppose 2*r = 2 - 0. Let h = 11 - 5. Calculate the lowest common multiple of r and h. 6 Let s = 2445/446 - -4/223. Find the common denominator of -77/8 and s. 8 Let f = -5455 - -49148/9. Find the common denominator of (-6)/8*76/2 and f. 18 Let b(x) = -12*x - 1. Let c(d) = -d**3 + 5*d**2 - 6. Let p be c(5). Let q be 2*(p/(-4) + -2). Calculate the smallest common multiple of b(q) and 1. 11 Suppose -166 = -9*l + 374. Calculate the lowest common multiple of l and 33. 660 Suppose 3*s = -s. Let o = s - -5. What is the lowest common multiple of o and 9? 45 What is the least common multiple of (-9 + -3)/3*-4 and 18? 144 Let u = -17963/3150 - -4/1575. Let i = -18790/7 + 2689. Find the common denominator of u and i. 70 Let y = -57 - -59. Suppose -2*r - 5*c + 5 = -7, 0 = 2*c. What is the lowest common multiple of r and y? 6 Let t = 1932 - 11623/6. Find the common denominator of t and -44. 6 Let p(y) = -2*y**3 - 3*y**2 - 1. Let f be p(-3). Let x = -18 + f. Calculate the lowest common multiple of -4*2/(-4)*5 and x. 40 Suppose -4*b = 4*m - 20, 0 = -0*b - 4*b + 3*m + 55. Calculate the least common multiple of b and 14. 70 Let j(f) = -7*f**3 - 2*f - 1. Calculate the least common multiple of 16 and j(-1). 16 Suppose -h = 3*h - 40. What is the smallest common multiple of h and 2? 10 Suppose -4*k + 68 = -40. What is the common denominator of -9/10 and (-1)/(-2)*(-372)/k? 90 Let h(g) = 3*g - 1. Calculate the least common multiple of h(5) and 14. 14 Calculate the common denominator of 17/16 and ((-53)/14)/(6/(-7)). 48 Let p = 3647575 + -21113638/5. Let t = p + 571498. Let n = t - -402491/110. Calculate the common denominator of -97/16 and n. 176 Let i = 216379/12 + -18042. Calculate the common denominator of i and (189/(-24))/((-6)/(-8)). 12 Suppose -g = -0*g + 6. What is the least common multiple of (15/g + 2)*-36 and 2? 18 Let c(q) = -q**2 - 8*q - 3. Let d = 22 + -12. Suppose -2*r - f + 7 = -d, -4*r = f - 35. Calculate the lowest common multiple of c(-6) and r. 9 Let o = -333/71782 - 2819343059/574256. Let d = o - -4906. Calculate the common denominator of d and (3/(-99))/((-2)/(-129)). 176 Let x(h) = -h**3 + 5*h**2 - 4*h + 6. Let c be x(4). Let i be (c/(-32))/(6/21116). Let v = i + 659. Find the common denominator of 115/18 and v. 72 Let f = 12 - 12. Let q(u) = -u**3 - u**2 - 2*u + 14. What is the lowest common multiple of 2 and q(f)? 14 Let z = 220 - 1757/8. Find the common denominator of z and 17. 8 Let p(m) = -m + 36. Calculate the lowest common multiple of 33 and p(15). 231 Let q = -3906 + 78149/20. What is the common denominator of q and -13/10? 20 Calculate the common denominator of -53/12 and 6/8 - ((-502)/72 + 1). 36 What is the common denominator of 2547/630 + 4/(-10) and -51/14? 14 Let w = 10 + -97/20. Calculate the common denominator of -55/18 and w. 180 Let y = -5 - -11. Suppose -y*f = -2*a - 4*f - 2, 3*a - 4*f = -5. What is the lowest common multiple of (-1)/2 + 9/2 and a? 4 Let v = -87839/4948 - -3/1237. Find the common denominator of 83/2 and v. 4 Suppose 5*z - 72 = -z. What is the lowest common multiple of z and 6? 12 Calculate the least common multiple of (18/(-24))/(1/(-36)) + 0 and 30. 270 Calculate the least common multiple of 6 and (1 - 1 - 3) + (-13 - -46). 30 Let d(t) = t**2 - 4*t - 18. Calculate the common denominator of d(-5) and -25/8. 8 Suppose -3*v = -2*v. Suppose -3*n + 0 + 3 = v. Calculate the common denominator of 7/20 and ((-171)/14)/3 + n. 140 Suppose -5*l = -3*l - 14. Calculate the least common multiple of l and 8. 56 Suppose z = -4, l - 2*l - z = 11. Let q = -4 - l. Suppose -3*f + q = -0*f, -4*f + 12 = 4*w. Calculate the smallest common multiple of 6 and w. 6 Let h = -1018597591/112590 + 712/11259. Let m = 9037 + h. Calculate the common denominator of m and 37/32. 160 Suppose 5*q = 5*a - 10, -2*a - 4 = q - 14. Let x = 22 + -14. What is the least common multiple of x and a? 8 Calculate the common denominator of ((-49)/12)/((-1)/4) and 4/7. 21 Suppose 3*x - 260 = -2*x. What is the lowest common multiple of x and 2? 52 Let g = 5 - 12. Suppose 0 = -5*f + 27 + 18. Let h = f - g. What is the smallest common multiple of h and 10? 80 Let l be 2*1 + 9978/16. Let s = l - 628. Find the common denominator of s and 41/10. 40 Let t(j) = -j**3 + 4*j**2 - 2*j + 2. What is the least common multiple of t(2) and (-3 - 141/(-15)) + (-2)/5? 6 Suppose 3*w - 21 = -h - h, 64 = 5*h - 4*w. Suppose f + f + h = 0. Calculate the least common multiple of 6 and (-1
{ "pile_set_name": "DM Mathematics" }
a? 0 Let u(m) = m**3 + 8*m**2 + 11*m + 43. Let a = 1 + 4. Suppose 6*i - 56 = a*i. Calculate the remainder when i is divided by u(-7). 11 Let s(a) = 11*a - 202. What is the remainder when 624 is divided by s(37)? 9 Suppose 3*p = -9 - 6, 73 = 2*j - 5*p. Let i = 53 - j. What is the remainder when i is divided by 16? 13 Suppose 0 = 4*y - 4*z - 24, 3*z + 0*z = y - 10. Suppose -b + y*b - 2181 = 0. Suppose 7*a - b + 69 = 0. What is the remainder when a is divided by 32? 30 Let s(x) = -11*x + 62. Let g(r) = 1. Let c(n) = -3*g(n) - s(n). Calculate the remainder when c(21) is divided by 37. 18 Suppose 15*p = 11*p + 236. Suppose x - 4*a = p, -x + 18 = a - 36. Calculate the remainder when x is divided by 7. 6 Suppose 0 = -r - 2*n - 0*n + 35, 4*r + 5*n = 125. Let f(k) = k**3 - 12*k**2 - 21. Calculate the remainder when f(13) is divided by r. 23 Suppose 16*v - 12*v = 752. Let s(w) = w**2 - 50*w + 296. What is the remainder when v is divided by s(44)? 28 Let k be (-3)/(-30)*5*-2. Let o(g) = 80*g**2 - 1. Let d = -84 + 104. Calculate the remainder when o(k) is divided by d. 19 Let l(m) = -m**2 + 7*m + 3. Let s be l(8). What is the remainder when 6 + -9 + 9 - (0 + 1) is divided by 276/60 + (-2)/s? 0 Let g = -5358 + 5370. Calculate the remainder when 2194 is divided by g. 10 What is the remainder when 942 is divided by -7 - (716/12 - 0)/(19/(-57))? 82 Let p = -7925 + 7956. Suppose 2*y - 33 = -5*n, 3 + 14 = 3*n + 4*y. What is the remainder when p is divided by n? 3 Suppose -9*g - 130 = -5*t - 4*g, -3*t = 3*g - 78. What is the remainder when 409 is divided by t? 19 Suppose 0 = -3*d - 2*w + 118, 138 = 3*d + 70*w - 73*w. Calculate the remainder when 835 is divided by d. 37 Let j = 662 - 594. Calculate the remainder when j is divided by 60. 8 Let l = -82 - -68. Let d(j) = j**3 + 13*j**2 - 21*j - 20. Let s be d(l). Let c = s - 52. Calculate the remainder when 77 is divided by c. 25 Let d = 15748 - 14721. What is the remainder when d is divided by 142? 33 Let o = 4 + 30. Suppose -2*d + j = 4*j - 42, 0 = -2*d - 5*j + o. What is the remainder when 147 is divided by d? 12 Suppose -27*l + 169 + 47 = 0. Calculate the remainder when (-53423)/(-164) + 2/l is divided by 22. 18 Let x = -287 - -1813. What is the remainder when x is divided by 51? 47 Suppose 2*u - 40 = -30, -5*a + u + 35 = 0. What is the remainder when 836 is divided by a? 4 Suppose 2*c = f + 112, 0 = -2*c + 45*f - 40*f + 128. What is the remainder when 471 is divided by c? 39 Let w = -12209 - -12243. Calculate the remainder when 78 is divided by w. 10 Let o(y) = -y**3 - 17. Let a be o(0). Let u = -10 - a. Suppose 22*b - 17*b = 2*m - 63, 0 = -2*m - 3*b + 23. What is the remainder when m is divided by u? 5 Let f = 137493 - 137474. What is the remainder when ((-2)/(-4))/(1/334) is divided by f? 15 Let j = -9 + 57. Let k = j + 12. Suppose 17*d - k = 5*d. What is the remainder when 7 is divided by d? 2 Suppose 8*i = d + 28715, -9*i + 12*i - 3*d - 10776 = 0. Calculate the remainder when i is divided by 10. 9 Suppose -w + 12 = -0*w. Calculate the remainder when -3*(-315)/(-27)*-2 is divided by w. 10 Suppose -m = -2, -b + 2*b = -4*m + 611. Suppose -24*a + 1893 + b = 0. Calculate the remainder when a is divided by 18. 14 What is the remainder when (-20 - 0)*(15 - -2)/((-4)/5) is divided by 151? 123 Suppose 0 = -2*d + 2*y + 57 + 249, d = -3*y + 161. Suppose d = 6*z - 115. Calculate the remainder when 178 is divided by z. 43 Let c(k) = 4*k + 48. Let t be (-3 - (-54)/30)/((-2)/(-10)). What is the remainder when 159 is divided by c(t)? 15 Let m(b) = b**3 - 12*b**2 + 4*b - 21. Suppose 78 = -4*p + 306. Let f = 69 - p. Calculate the remainder when 80 is divided by m(f). 26 Suppose 6*j - 237 = 81. Suppose 0 = 100*g - 95*g + z - 89, -5 = 5*z. What is the remainder when j is divided by g? 17 Let g(f) = 2*f**2 + 116*f + 125. What is the remainder when 49 is divided by g(-57)? 5 Let s(d) = -8*d + 66. Let i be 6/(-1)*(-18)/36. Calculate the remainder when 163 is divided by s(i). 37 Suppose 19 = 11*l - 14. Suppose -z + l = -0. Suppose -j + z*j - 32 = -2*t, 0 = -3*j + 5*t + 56. What is the remainder when j is divided by 12? 5 Let p(z) = 130*z + 1. Suppose 748 = 32*q - 10*q. Let h = 10 + q. What is the remainder when p(2) is divided by h? 41 Let m = -1438 - -2124. What is the remainder when m is divided by 86? 84 Let v be (5673/(-124))/((-6)/8). Suppose 0 = -32*y + 34*y + 4*d - 10, -v = -5*y + 2*d. What is the remainder when y is divided by 7? 4 Let f be -4 - ((-948)/9)/((-2)/6). Let m = 375 + f. Calculate the remainder when m is divided by 14. 13 Let h(n) = -6*n - 36. Let c be h(-7). Let o be ((-2130)/(-10))/(c/4). Calculate the remainder when 6/(-2) + (-3)/(-3)*o is divided by 24. 19 Let p be 6 - 5/20*4. Suppose p*u - 245 = -5*k + 50, 5*k + 145 = 3*u. Let y = -34 + 48. What is the remainder when u is divided by y? 13 Let b(k) = -7*k + 3*k**2 + 18 + 0*k + k**2. Let p be b(4). What is the remainder when (-7 - -3) + 8 + p is divided by 15? 13 Let n(o) = -o**2 + 7*o + 10. Suppose -2 = -2*r + 12. Suppose 8523 = -2060*b - 2919 + 108262. What is the remainder when b is divided by n(r)? 7 Let a(r) be the third derivative of r**6/60 - r**5/60 + r**4/24 - r**3/3 + 5*r**2. Calculate the remainder when a(3) is divided by 4/54 - (-25 + (-872)/(-108)). 12 Let h(q) = q**3 - q**2 - 58*q + 13. Let v be (-4 - -7)*(5 + -2). What is the remainder when h(v) is divided by 28? 27 Suppose -997 = -94*b - 245. Calculate the remainder when 1231 is divided by b. 7 Suppose -206 = -n + f, -n + 2*f + 3*f + 210 = 0. Let q(z) = -20*z + 159. What is the remainder when n is divided by q(7)? 15 Suppose 3*l = 11*n - 16*n + 33546, 0 = -2*l + 4. Calculate the remainder when n is divided by 10. 8 Let n(q) = 4*q**2 - 188*q - 554. Calculate the remainder when 409 is divided by n(-3). 41 Suppose -2*n + 1 = 5*f, n - 5*f - 13 + 5 = 0. Calculate the remainder when 56 is divided by n. 2 Suppose -2*v = 2*p - 54, 0 = -6*v - 2*p + 117 + 25. Calculate the remainder when 11151 is divided by v. 19 Let x = 419 - 136. Suppose -42*u + 45*u + 4*i - 215 = 0, -142 = -2*u - 3*i. Suppose 0 = 4*o - u - x. Calculate the remainder when o is divided by 31. 28 Suppose 27*j + 3182 = 31*j + 5*f, 2*f = -2*j + 1592. What is the remainder when j is divided by 5? 3 Suppose -4*a + 11 = -9. Let u be (1095/12)/a - 2/8. Suppose -p - p + u = -2*v, 0 = -2*v - 6. What is the remainder when 8 is divided by p? 2 Let k(j) = -11*j - 12. Let u be k(-2). Suppose -3*r + 3*i = -81, -u*r + 2*i = -6*r - 100. What is the remainder when 105 is divided by r? 13 Let o = 6 - 10. Let m(w) = -w**3 - 2*w**2 + 4*w - 5. What is the remainder when m(o) is divided by 4 - (-7 + -4 + 6 - -2)? 4 What is the remainder when 0 + (-6 - -13) + 1153 + -11 is divided by 8? 5 Let c be -6 + 4 - (-8 - -1). Let w be 0/(-1 + 20/c). Suppose -5*i + 87 + 28 = w. What is the remainder when 136 is divided by i? 21 Suppose 52*p = -3960 + 38540. Calculate the remainder when p is divided by 25. 15 Suppose 0 = -0*q + 5*q - 1340. Let v = 117 - 117. Let u(y) = 6*y + 54. What is the remainder when q is divided by u(v)? 52 Suppose 165*g - 1636 = 164*g. What is the remainder when g is divided by 91? 89 Let t = 344 - 339. What is the remainder when (-42)/(-9)*(t + 28/7) is divided by 22*((-2)/4)/(-1)? 9 What is the remainder when 2735 is divided by (65/2 + -4)*120/45? 75 Suppose -61 = -4*m - h, 4*m = -5*h + 27 + 22. What is the remainder when 17 is divided by (24/m)/(3/18)? 8 Suppose 1608 = 2*g - 10*h + 11*h, -4*h = 0. Calculate the remainder when 757 is divided by g/24 - 2/4. 31 Let a(v) = 39*v + 273. Let l be a(6). Suppose -l - 253 = -20*j. Let y = 27 + -14. What is the remainder when j is divided by y? 12 Suppose o = -2, -27*n + 22*n + 1722 = 4*o. Calculate the remainder when n is divided by 29. 27 Let t be (-1 + 7)/3 + 842. Let y be 40/180 + t/9. Suppose 6*c - 4*c = y. Calculate the remainder when 234 is divided by c. 46 Let q = 246 - 410. Let i = 321 + q. What is the remainder when i is divided by 10? 7 Let f = -9028 - -9049. What is the remainder when 293 is divided by f? 20 Let c(l) be the first derivative of l**4/4 + 28*l**3/3 - 14*l**2 + 72*l - 78. Calculate the remainder when 124 is divided by c(-29). 38 Let r = -1281 - -2318. Let n be r/153 + (-14
{ "pile_set_name": "DM Mathematics" }
{l: 1, x: 4, q: 2, a: 3, u: 7}. What is prob of picking 1 q and 1 u? 7/68 Four letters picked without replacement from lrlrlrrlrl. What is prob of picking 3 r and 1 l? 5/21 Calculate prob of picking 1 h, 2 e, and 1 b when four letters picked without replacement from {q: 3, b: 2, e: 3, h: 2, m: 1, s: 4}. 4/455 What is prob of picking 2 t when two letters picked without replacement from {t: 1, h: 1, b: 1}? 0 Two letters picked without replacement from bleoobbobmbrl. What is prob of picking 1 o and 1 b? 5/26 What is prob of picking 1 e and 1 w when two letters picked without replacement from ewtctttttetwt? 2/39 Three letters picked without replacement from kkkyahyayaapkaa. Give prob of picking 1 p and 2 y. 3/455 Calculate prob of picking 1 h and 2 j when three letters picked without replacement from {j: 5, v: 4, h: 7}. 1/8 Four letters picked without replacement from {c: 17, v: 3}. Give prob of picking 4 c. 28/57 Two letters picked without replacement from eetffeeeeeet. Give prob of picking 2 e. 14/33 What is prob of picking 2 i when two letters picked without replacement from {i: 2, f: 5}? 1/21 Four letters picked without replacement from brbmzmzbbmmmbmmm. Give prob of picking 1 r, 1 b, and 2 m. 1/13 Three letters picked without replacement from {o: 15, q: 4}. What is prob of picking 1 o and 2 q? 30/323 What is prob of picking 2 q, 1 a, and 1 t when four letters picked without replacement from {b: 2, q: 2, t: 2, n: 1, a: 8}? 16/1365 Calculate prob of picking 1 p and 1 w when two letters picked without replacement from ppwpwwb. 3/7 What is prob of picking 2 b, 1 a, and 1 w when four letters picked without replacement from {b: 2, y: 1, j: 2, z: 1, w: 2, a: 1}? 1/63 Calculate prob of picking 2 x and 1 k when three letters picked without replacement from {x: 3, k: 5}. 15/56 What is prob of picking 2 b when two letters picked without replacement from jyvyhhybbbybqh? 6/91 Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {n: 2, e: 1, t: 1, b: 2, d: 1}. 2/21 Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {u: 1, a: 4, w: 2}. 4/21 Calculate prob of picking 1 b and 1 l when two letters picked without replacement from rblrl. 1/5 Three letters picked without replacement from {a: 1, t: 2, s: 1, l: 2}. Give prob of picking 1 a and 2 l. 1/20 Two letters picked without replacement from {f: 6, i: 2, g: 11}. Give prob of picking 1 f and 1 i. 4/57 What is prob of picking 2 e when two letters picked without replacement from {e: 7, r: 9}? 7/40 Four letters picked without replacement from geeuieeueegeiigee. Give prob of picking 1 e, 2 g, and 1 i. 81/2380 Two letters picked without replacement from {n: 2, i: 1, h: 2}. Give prob of picking 2 n. 1/10 Calculate prob of picking 1 m, 1 p, and 2 k when four letters picked without replacement from ppmmmmkk. 4/35 Two letters picked without replacement from {r: 1, n: 2, l: 1, z: 1}. Give prob of picking 1 l and 1 r. 1/10 Two letters picked without replacement from {u: 3, a: 1, t: 1}. What is prob of picking 2 u? 3/10 Three letters picked without replacement from qasqsqsqqsq. What is prob of picking 3 a? 0 Calculate prob of picking 1 o and 1 m when two letters picked without replacement from uouqumou. 1/14 Calculate prob of picking 2 a and 2 g when four letters picked without replacement from ggggagguguaa. 7/55 What is prob of picking 3 a when three letters picked without replacement from eeeeeeeeeeeieaee? 0 Calculate prob of picking 1 f and 3 w when four letters picked without replacement from {w: 4, m: 2, a: 1, p: 2, l: 1, f: 2}. 8/495 What is prob of picking 2 s when two letters picked without replacement from ssbbsbbbbbfbssssbb? 7/51 Calculate prob of picking 3 n when three letters picked without replacement from {n: 19, d: 1}. 17/20 Three letters picked without replacement from {h: 4, n: 5, r: 4, i: 2, p: 1}. Give prob of picking 2 r and 1 p. 3/280 What is prob of picking 1 r and 1 t when two letters picked without replacement from {t: 1, r: 12}? 2/13 What is prob of picking 1 v and 1 f when two letters picked without replacement from fkjvfjjjkkkjojffo? 1/34 What is prob of picking 2 u when two letters picked without replacement from tttuttttttutut? 3/91 What is prob of picking 3 t and 1 g when four letters picked without replacement from ttttetteegeeg? 8/143 Calculate prob of picking 2 c, 1 d, and 1 x when four letters picked without replacement from {e: 1, c: 2, r: 1, m: 1, x: 1, d: 1}. 1/35 What is prob of picking 1 x and 1 a when two letters picked without replacement from {a: 2, z: 6, g: 2, x: 3}? 1/13 Calculate prob of picking 3 e when three letters picked without replacement from {b: 1, s: 1, c: 5, g: 2, a: 3, e: 3}. 1/455 Calculate prob of picking 2 l when two letters picked without replacement from {b: 11, l: 9}. 18/95 What is prob of picking 2 v and 1 n when three letters picked without replacement from {b: 7, v: 3, n: 3, h: 3, a: 4}? 3/380 What is prob of picking 1 b, 1 l, and 1 n when three letters picked without replacement from lblllllblllbnlbqn? 2/17 What is prob of picking 2 o when two letters picked without replacement from vkiodkvqo? 1/36 Two letters picked without replacement from {g: 1, l: 1, c: 2}. What is prob of picking 1 c and 1 g? 1/3 Three letters picked without replacement from {m: 3, i: 10, j: 1, w: 1}. What is prob of picking 1 w, 1 j, and 1 i? 2/91 Three letters picked without replacement from {y: 6, a: 2, b: 1, f: 1, z: 2}. What is prob of picking 1 b, 1 z, and 1 y? 3/55 Calculate prob of picking 1 r and 1 u when two letters picked without replacement from {p: 4, o: 6, s: 2, m: 3, u: 1, r: 2}. 2/153 Three letters picked without replacement from {p: 1, b: 2, h: 1, v: 1, j: 2, c: 1}. What is prob of picking 1 h, 1 v, and 1 p? 1/56 Calculate prob of picking 1 t and 2 q when three letters picked without replacement from {t: 5, n: 2, q: 5}. 5/22 Four letters picked without replacement from cfcffccfffaccffcc. Give prob of picking 1 a, 1 f, and 2 c. 8/85 Calculate prob of picking 1 y, 2 z, and 1 p when four letters picked without replacement from pztzyzy. 6/35 Calculate prob of picking 2 b and 2 r when four letters picked without replacement from {m: 1, x: 2, k: 1, b: 7, r: 3}. 9/143 What is prob of picking 2 b and 1 q when three letters picked without replacement from tctqtcctctcbbtccct? 1/816 Four letters picked without replacement from {q: 2, s: 11}. What is prob of picking 4 s? 6/13 Three letters picked without replacement from puhzuzzhfzuuhpyzp. What is prob of picking 1 z, 1 y, and 1 p? 3/136 What is prob of picking 2 f when two letters picked without replacement from xff? 1/3 Four letters picked without replacement from ohhohlrhhttlolrhtoh. Give prob of picking 2 h and 2 t. 21/1292 What is prob of picking 2 c and 2 h when four letters picked without replacement from {c: 6, h: 13}? 195/646 Calculate prob of picking 4 u when four letters picked without replacement from {o: 5, u: 8}. 14/143 Two letters picked without replacement from crrcrrbrblbrrmbccrrr. Give prob of picking 1 c and 1 r. 4/19 Three letters picked without replacement from {k: 2, j: 6, n: 5}. Give prob of picking 2 j and 1 k. 15/143 Two letters picked without replacement from {c: 1, s: 4, x: 1, r: 9}. Give prob of picking 1 c and 1 s. 4/105 Four letters picked without replacement from {j: 1, c: 4, v: 1, i: 1, z: 1}. What is prob of picking 1 z, 1 c, 1 j, and 1 v? 2/35 What is prob of picking 2 h when two letters picked without replacement from {h: 2, m: 4}? 1/15 Two letters picked without replacement from jbvbmwwbbbwp. Give prob of picking 2 w. 1/22 What is prob of picking 1 s and 1 p when two letters picked without replacement from eepsp? 1/5 Four letters picked without replacement from {w: 6, m: 12}. What is prob of picking 4 w? 1/204 Two letters picked without replacement from {e: 1, i: 4, n: 4, b: 7, q: 3}. What is prob of picking 2 n? 2/57 What is prob of picking 1 t and 1 x when two letters picked without replacement from {o: 5, t: 1, b: 2, x: 1}? 1/36 Four letters picked without replacement from ggsgggggggsssgggggg. What is prob of picking 4 g? 455/1292 Three letters picked without replacement from fqqqhdh. Give prob of picking 1 f and 2 h. 1
{ "pile_set_name": "DM Mathematics" }
the second biggest value in 1/7, 2/509, -2/7? 2/509 What is the fourth smallest value in -3/7, 8, 0.5, 316? 316 Which is the second biggest value? (a) 0.3 (b) -46 (c) -0.3 c Which is the second biggest value? (a) -3 (b) 93 (c) -0.1 c Which is the third smallest value? (a) 1/61 (b) -0.4 (c) 2/7 (d) -2 a What is the second biggest value in -46, 1/3, -1/5? -1/5 Which is the third biggest value? (a) 9 (b) -5 (c) -0.2 (d) -4 d What is the second smallest value in 2/15, -5, -4348? -5 Which is the smallest value? (a) 7 (b) -1/7 (c) 0.1 (d) 0.03 (e) -3 e Which is the third biggest value? (a) 1/5 (b) 10 (c) -39 (d) -3 d Which is the smallest value? (a) -4.4 (b) -2/7 (c) 0.3 (d) 0.4 (e) -1.3 a What is the third smallest value in 0, 2/269, -0.173? 2/269 Which is the fourth smallest value? (a) 33/7 (b) -5 (c) 4 (d) 0 a Which is the third biggest value? (a) -2 (b) -30.16 (c) 0.4 b What is the third smallest value in -19, -0.4, -16/3? -0.4 What is the fourth smallest value in 0, -1/6, -55/3, -7? 0 Which is the third smallest value? (a) 5 (b) -2/13 (c) -0.0959 a What is the fourth biggest value in 0.5, -2, -1/5, -1/3, 0.3? -1/3 Which is the third smallest value? (a) 0.26 (b) 4 (c) -1.3 (d) 2 (e) -4 a What is the second biggest value in 2, 2/9, -52, 0.4, -4/9? 0.4 What is the third biggest value in 3/4, -2/11, 60, 2? 3/4 Which is the third smallest value? (a) -1 (b) -2 (c) -5 (d) -1/5 a What is the third smallest value in 86, -2/17, -1/5? 86 Which is the smallest value? (a) -1/70 (b) 2/9 (c) 0.4 (d) 0.8 a What is the second biggest value in 15, -1/3, 0.4, 0.81? 0.81 Which is the fourth smallest value? (a) -1/2 (b) -0.01 (c) -2/103 (d) -0.2 b What is the smallest value in 4, 2/73, -1/4? -1/4 Which is the fifth smallest value? (a) -0.5 (b) 2/11 (c) 0.5 (d) -124 (e) -3/4 c What is the smallest value in 18/5, 0, -3? -3 Which is the smallest value? (a) -1.2 (b) 2/13 (c) -1 a What is the fourth smallest value in -11, -1/2, -3/2, -4? -1/2 Which is the second smallest value? (a) -4/2279 (b) 0.4 (c) 2 b Which is the second biggest value? (a) -3 (b) 3 (c) 2 (d) -2/3 (e) -1/14 c Which is the fourth smallest value? (a) -9 (b) 9 (c) -5 (d) -0.2 b What is the second smallest value in -0.8, -2/5, 6, -1/6, 2/9? -2/5 What is the third smallest value in 2/3, 3, 1/8, 2.48, 0.5? 2/3 What is the fourth smallest value in 4, -0.02, -4, -1? 4 Which is the fourth smallest value? (a) -368 (b) -1/5 (c) -3/2 (d) -2/7 (e) 3 b What is the third smallest value in -1, 3, 5, -1/2? 3 Which is the third smallest value? (a) -3.8 (b) -1/5 (c) 2 (d) 1 d Which is the biggest value? (a) 5 (b) 0.2 (c) -40 (d) -2 a What is the biggest value in 0.4, 0.1, -179, 0? 0.4 What is the smallest value in 0.2, -21, 0.1, -4? -21 What is the second biggest value in 2/5, -1/3, -70? -1/3 What is the biggest value in -5/4, 1/4, 8? 8 What is the third smallest value in -2/3, 0, 0.17? 0.17 Which is the second biggest value? (a) -1 (b) -2/13 (c) -40 a Which is the third biggest value? (a) -1/4 (b) 0.4 (c) 2/9 (d) 4 c Which is the third biggest value? (a) -4 (b) 9/7 (c) 3 a Which is the second biggest value? (a) 0.1 (b) 27 (c) 108 b Which is the smallest value? (a) 4/11 (b) -3 (c) -2/11 (d) 0.1 b Which is the biggest value? (a) -0.12 (b) 47 (c) 5 b Which is the biggest value? (a) 0.5 (b) -0.3 (c) -67 a What is the fourth biggest value in 2/7, -0.5, -1/70, 4? -0.5 What is the fourth smallest value in -1.9, -0.1, 0, 2? 2 Which is the second smallest value? (a) -4 (b) -310 (c) 22 (d) 2 a Which is the second biggest value? (a) -5/6 (b) -2/7 (c) -174 (d) 2 b What is the third smallest value in 0.3, -2/11, -2/5? 0.3 What is the third smallest value in -5, -2/7, 0.3, -2/45? -2/45 What is the biggest value in 5, -0.132, 4? 5 Which is the biggest value? (a) 4/9 (b) -17 (c) -3 a What is the third smallest value in -2/11, 0.1, 12/5? 12/5 What is the third biggest value in -4/9, 0, 7, 12? 0 Which is the second smallest value? (a) 0.4 (b) 0 (c) 0.5 (d) -2 b Which is the biggest value? (a) -2/7 (b) 141 (c) -2/3 b Which is the third smallest value? (a) -1/2 (b) 5 (c) -4/3 (d) 3/2 d Which is the second smallest value? (a) 5 (b) 1/2 (c) -0.3 (d) -3 c What is the second biggest value in -36, 6, 3? 3 What is the third smallest value in -4, -1/3, 0.4, -8? -1/3 What is the second biggest value in 105, -0.5, 0.08, 3? 3 What is the second smallest value in 0.5, 1/58, -5, -2/17? -2/17 Which is the second smallest value? (a) -5 (b) -3/28 (c) -3/11 c What is the third smallest value in 2, 0, 5, 0.5, -1? 0.5 Which is the fifth smallest value? (a) -1/6 (b) 1/13 (c) 7 (d) 0.2 (e) 4/3 c Which is the third smallest value? (a) 1 (b) 1/2 (c) 3/10 (d) -2 b What is the second biggest value in -4, 4/39, -2/19? -2/19 What is the biggest value in -6/47, -2/13, -5? -6/47 Which is the second smallest value? (a) 0.2 (b) 0.0658 (c) -0.14 b What is the second biggest value in -2, 3, 217, -3? 3 Which is the second smallest value? (a) 0.1 (b) 2/13 (c) -3 a What is the fourth biggest value in 0.067, 0.3, 0, -10? -10 What is the fifth smallest value in 0, 66, -0.1, -3, 3? 66 Which is the biggest value? (a) -0.4 (b) -27 (c) -0.29 c Which is the third biggest value? (a) 0.4 (b) 2/11 (c) -0.26 (d) -0.07 d What is the third smallest value in 2, 7, 36? 36 What is the fourth biggest value in 8, -0.5, 4, -1? -1 What is the third smallest value in 0.07, -1/3, 0.05? 0.07 Which is the third biggest value? (a) -2/9 (b) 19 (c) -2/5 (d) -3 c What is the second smallest value in -39, 1/3, 0.14? 0.14 What is the biggest value in 2/9, 4, -452/35? 4 Which is the fifth smallest value? (a) 3/7 (b) -4 (c) -0.2 (d) -2 (e) 0 a Which is the third smallest value? (a) -2/5 (b) -5 (c) -71 (d) 0.5 (e) 1/25 a What is the fifth smallest value in -7, -1/8, 0.3, -1.6, 2? 2 Which is the biggest value? (a) 2 (b) 3/7 (c) 3 c Which is the second smallest value? (a) -0.18 (b) -2/9 (c) 3 (d) -4/7 b Which is the smallest value? (a) 1/3 (b) 0.2 (c) -0.5 (d) 1/4 c What is the third smallest value in 1/2, 4, -1, 3/8? 1/2 Which is the second biggest value? (a) 4 (b) 0.4 (c) -9 (d) -6/5 (e) -4/9 b Which is the second smallest value? (a) 0.2 (b) -16/3 (c) -1 c What is the fourth smallest value in 2/13, -2/3, 1/5, 0.086? 1/5 Which is the second biggest value? (a) -1.3 (b) -0.4 (c) 1 (d) 0.1 d Which is the third biggest value? (a) -0.1 (b) 0 (c) 29 (d) -3 a Which is the fourth smallest value? (a) 2/13 (b) 2/31 (c) 5/9 (d) -1/6 c Which is the biggest value? (a) 0.2 (b) 0.4 (c) 263 c What is the third smallest value in -195, -5, 4/7? 4/7 Which is the second smallest value? (a) 0.17 (b) -2 (c) -30 b What is the smallest value in 0, -23/3, 0.4? -23/3 Which is the smallest value? (a) 2 (b) 4 (c) 56 (d) -5 d Which is the second biggest value? (a) -2/7 (b) -0.5 (c) 1 (d) -0.4 a What is the second smallest value in -1, -1/3, 0.3? -1/3 What is the third smallest value in 8, 3/4, -5, -2/11, 1? 3/4 Which is the smallest value? (a) -2/5 (b) -2/3 (c) 31 (d) -0.5 b Which is the biggest value? (a) -0.209 (b) -5 (c) -1/12 c Which is the smallest value? (a) 0.4 (b) -56/5 (c) 6 b What is the third smallest value in -0.5, -4, -25/3, -0.2? -0.5 What is the biggest value in 0.88, -4, 7? 7 Which is the second biggest value? (a) 0.3 (b) -2/79 (c) -13 b Which is the second biggest value? (a) 31 (b) -3 (c) -0.4 (d) -4 (e) 3 e What is the smallest value in -70, 2, -0.079? -70 What is the third smallest value in 40, 1, 0.3? 40 What is the third smallest value in -5, -1/7, 1/4, -1? -1/7 What is the third biggest value in -5, 0.3, 1.04, 0? 0 Which is the fourth smallest value? (a) -0.4 (b) -0.2 (c) -2/7 (d) -0.023 d What is the third smallest value in -59, 0.5, 0.3, 2? 0.5 Which is the biggest value? (a) -5284 (b) -0.3 (c) 0.3 c What is the second biggest value in 7, -22, -12? -12 What is the third smallest value in 9, 31, -0.1? 31 What is the second smallest value in -4/103, -0.3, 3? -4/103 What is the biggest value in 0.04, -0.01, -0.2, -0.3? 0.04 Which is the biggest value? (a) 14 (b) -
{ "pile_set_name": "DM Mathematics" }
24)? 6 Evaluate 17 - (-41 - -60) - ((0 - 1) + -1). 0 Evaluate ((8 - 8) + 3 - (-11 - -16)) + 0. -2 What is the value of -24 + 11 - (0 - 7) - -12? 6 Evaluate 9 - -1 - (7 - 10). 13 Evaluate 11 + (-1 - (12 + -12)). 10 What is the value of (0 - 0 - (-22 - (-26 - -2))) + 24? 22 What is the value of -8 + (-5 + (-17 + 6 - -15) - 0)? -9 What is the value of -22 - (0 - 1 - (-14 - (-19 - 3)))? -13 Calculate (-5 - -1) + -4 + 2 - -1 - -7. 2 Calculate 21 - ((6 - 21) + 50). -14 Evaluate (-2 + 7 + 16 - 3) + -4. 14 What is 9 + -28 + 7 + 24? 12 Evaluate (15 - 36 - -2) + 12 + 2. -5 What is 20 - (7 + 25) - 0? -12 What is the value of -9 + 7 + (3 - 26) - -12? -13 (-41 - -94) + 17 - 41 29 (11 - 1) + -272 + 261 -1 What is the value of -8 + (13 + -4 - 0) + 12 + 0? 13 What is -15 - (-14 - -22) - -27? 4 What is the value of (-4 - -14) + -21 + (-16 - -36)? 9 What is the value of (5 - 44) + (-230 - -283)? 14 Evaluate (-22 - -1) + -7 - -9. -19 Calculate (23 - (11 + -3 + -1)) + -15. 1 What is -1 - ((5 - 25) + 6 + (6 - -1))? 6 What is (4 - (10 + -2)) + 1 + 6 - 3? 0 What is -2 - (-5 - ((4 - 0) + 1 - 16))? -8 Calculate (-4 - -1) + (20 - ((6 - 6) + 5)). 12 Calculate -16 - (-13 - -17 - 15). -5 (-1 - (-12 + 7)) + 0 + 0 + -5 -1 Calculate 4 - ((1 + -5 - (2 + -9)) + 29). -28 What is the value of (3 - 0) + 4 + (7 - 4) + -4? 6 Evaluate (-15 - (-4 - 23)) + -21. -9 -20 - 31 - (-3 - -12 - 20) -40 What is 9 - 2 - 0 - (-7 + -2 + 5)? 11 Evaluate -6 - (-61 + 49 - (-6 + -1)) - -12. 11 Calculate 4 - 20 - (10 - (1 - -6 - -2)). -17 10 + 10 + -100 + 105 25 What is the value of 1 + (3 - -2 - 6) + -2 + -1? -3 Evaluate 9 + 1 + (-1 - -2) + -4. 7 Evaluate -21 + (1 - 1) + (19 - 8). -10 Calculate (-28 + -10 - -17) + 5. -16 -13 + (-6 - -11) + 3 -5 What is 5 + (15 - 14) + 5? 11 What is -22 - (30 + 1 + -42)? -11 Evaluate (95 - 85) + 0 + 2 + -1 + -5. 6 Evaluate 2 + 41 - (32 + -1 + -20). 32 Calculate 6 + -6 - (-6 + 2 + -8). 12 Calculate 1340 - 1354 - ((-1 - 0) + -1). -12 Evaluate 12 - ((1 + 9 - -1) + -7). 8 3 - (-3 + 1) - (-36 - 15 - -38) 18 Evaluate 14 + -4 + 5 + -18 + (-1 - -9). 5 Calculate -23 + (-1 - -47) + -25. -2 What is the value of -8 - -4 - (-24 - -40)? -20 What is the value of 3 + -12 + 23 + -4 + 10? 20 Calculate 15 - 16 - (-48 + 7). 40 Evaluate 8 - 40 - (47 + -59). -20 -11 + -11 + -1 + 8 -15 7 - (15 - (-2 - -7) - -12) -15 Evaluate 1 + 2 + -2 - -1 - -10. 12 What is -18 + -3 + (-3 - (-13 + 1))? -12 Evaluate 0 + 1 - (-496 + 513). -16 (-7 - -24 - 1) + (-12 - -14) 18 18 + -19 - -21 - 33 - 0 -13 What is 8 + -13 + 4 + -10 + 1? -10 Calculate 4 - (-3 + 36 + -12). -17 What is the value of 3 - (-28 - (-18 + 5))? 18 What is 216 + -231 + (3 - 2)? -14 13 - 13 - 9 - -20 11 What is -4 - (-4 + 2) - (-5 - -1)? 2 What is the value of 1 + (5 - -2) - (79 + -114 - -41)? 2 Calculate 4 + (3 - (30 + -19)) - (-24 + -1). 21 What is the value of 0 - 12 - 0 - (-55 - -50)? -7 Evaluate -5 + 13 + -14 + 7 + -1 + -4. -4 What is 6 + 0 + -4 - (7 + -6 - 3)? 4 Calculate 7 - -1 - (11 - (-9 + 8 - -19)). 15 What is the value of (-13 - 1) + (-19 - -26) + 1 + 7? 1 Calculate -15 + (5 - -20) + 1. 11 Calculate -1 + 6 - 2 - (14 - (-4 - -7)). -8 What is (2 - 2) + 7 - (-20 + -4 + 7)? 24 (12 - 26) + 28 + -22 -8 What is (-9 - (-4 + 1)) + 19 + -35? -22 -1 + (0 - (0 - (-10 + -1) - 6)) -6 Calculate (-30 - 8 - -2) + -3 + (14 - 2). -27 Evaluate (15 - 3) + -24 - 2. -14 What is -4 - (-27 + 0 + -2 + 69 + -61)? 17 (-8 - -15) + 0 + -16 + -6 -15 Calculate 6 - (3 + 0) - (-19 - (-31 + 11)). 2 Calculate 0 - (-9 + 6 + 4 - 7). 6 What is (17 - -4) + (11 - 50)? -18 What is (6 + -5 - 1) + -298 + 303? 5 (-3 + -9 - 7) + 9 + 22 12 What is the value of 2 + -8 - (1 - (-8 + (6 - -4)))? -5 8 + -6 + (-7 + 7 - -12) 14 What is -6 + (7 - (-24 - -10) - 6)? 9 What is (-6 - (2 - 13)) + -7? -2 What is the value of 11 + (-2 + -3 - (49 + -12))? -31 Calculate 102 + -113 - ((-1 - 8) + 3). -5 What is the value of 77 + -87 - (-1 + 2 + -1 - 1)? -9 (-8 + -4 - (-6 - 3)) + (0 - 1) -4 What is the value of 8 - (0 + 0) - (-13 + 22)? -1 Evaluate 5 + (239 + -254 - ((2 - 3) + 3)). -12 Evaluate -13 + -14 + 10 - -28. 11 Evaluate -16 + (1 - -2) + -222 + 227. -8 Calculate -10 + -1 + 37 + 3. 29 What is the value of 56 + (10 - (2 + 35))? 29 What is (-10 - -13) + 12 - 7? 8 (-2 - -70) + -7 + -32 29 What is the value of -18 - ((-2 - (5 + -1)) + (-33 - -47))? -26 What is the value of -2 + -7 + -3 + 8 + -3 + 2? -5 12 + -12 + -1 + 5 - (-2 - 1) 7 Evaluate (-1 - -7) + (-8 - (15 - 18)) - 7. -6 (-4 - (-1 + 5)) + 18 - 5 5 What is -18 - ((21 - -5) + -24)? -20 What is the value of -1 + (3 - (3 + -2 - 10)) + -4? 7 What is the value of 1 - 26 - (-8 + -7 + -6 + 14)? -18 -5 - (-9 + (-6 - -12) + -1) -1 What is 3 - (0 + -4 + 1) - -9? 15 6 + 1 + 3 + -8 2 -15 - -8 - -9 - (7 + -1) -4 What is the value of 2 + -8 - 7 - ((-6 - -2) + 2)? -11 Calculate -31 - -20 - 7 - (-1 + 0 + -1). -16 What is -20 + -5 + 3 + 12? -10 -9 + 6 + -4 + -2 + -7 -16 8 - (-27 - (7 + -19)) 23 Calculate 19 + (3 - (2 + 1) - (55 - 47)). 11 What is the value of (-49 - -40 - (-16 + -5 + 4)) + 14? 22 Calculate -11 - ((196 - 204) + -7 + 0). 4 4 + -16 + 9 + (-15 - -44) 26 Calculate -20 + (2 - -5) + 5 + 2 + -11. -17 Evaluate 15 - (0 + -11 - (261 + -272)). 15 Evaluate 3 - (-78 + 72 - (-3 + -1)). 5 What is the value of (9 - 10 - -5) + -6? -2 Evaluate (-10 - 1) + -108 + 127. 8 What is the value of -73 + 35 + (1 - -11) + 7? -19 What is the value of 2 + 9 + -5 + (-13 - 11)? -18 What is -10 - (19 + 0 + 27 + -15 + -21)? -20 What is the value of 13 - (23 - (29 - 17))? 2 -150 - -147 - (1 - 4) - -13 13 Calculate -14 - (7 - (-2 - -24)) - 15. -14 -3 + -13 + 13 + -16 + 11 -8 What is 6 + (1 + -6 + 12 - -4)? 17 -10 - -14 - (2 + (0 - -5) + -4) 1 Calculate 0 - (-5 - -6) - (-3 + 3). -1 25 - (16 - (-13 + 6)) 2 What is the value of (-2 - -5) + -14 + -1 + 10 + -13? -15 What is the value of 15 - (40 - 6 - 12)? -7 Calculate (321 + -320 - (0 - 9)) + -38. -28 Evaluate (13 - (-13 + (-13 - -34))) + 10. 15 What is (-3 - -11) + -13 + -4 + -8 + 9? -8 What is the value of -14 + 0 + (-45 - (53 + -111))? -1 What is 0 - 11 - (-25 + 9 - -7) - -2? 0 Evaluate 3 - (-3 + 6) - (-10 + 12 + -6). 4 What is the value of 27 + 13 + -37 - (0 + 6)? -3 What is (6 - (-7 + 33)) + 12 + -14? -22 20 + (-2 - 17) + (1 - (3 - 0)) -1 8 + (2 - 3) - (-2 + -4 - -9) 4 Evaluate -1 + 6 + (-36 - -20) - (2 - 8). -5 Calculate 1 + -4 - (-53 - -40). 10 What is (16 - (-3 + 16)) + -3? 0 What is (-8 - 1) + (7 - 11 - -14)? 1 What is 84 - (59 + 3) - (6 + (-2 - -3))? 15 What is the value of 14 + -51 + (3 - -27)? -7 What is the value of 16 - (-21 + 55 - 11)? -7 What is -1 + (14 - (10 + -1)) + (1 - 1)? 4 Calculate 3 - ((8 - 3) + (3 - 3) + -2). 0 Evaluate 15 + -1 + 17 + (-12 - 9). 10 What is the value of (-1 - -2) + 1 + -3? -1 Calculate -3 - 2 - ((6 - 3 - 20) + -1). 13 Calculate -16 - -14 - -52 - 12. 38 Calculate (-1 + 12 - 6 - 23) + -2 + 4. -16 What is -42 - ((-17 - -19) + -25)? -19 Evaluate (4 + 0 + 1 - (808 + -812)) + -19. -10 Evaluate (19 + 9 - 13) + -15. 0 -2 + -3 + (-21 - (-16 + -12)) 2 Evaluate 35 + -16 + -2 + -2. 15 What is the value of 0 + -30 + (232 - 220)? -18 -31 + 0 - (3435 + -3431) -35 1 - 9 - (-17 - -13) - (-11 - 2) 9 What is 10 + -6 + (-9 - -2) - 7? -10 What is the value of (4 - 11) + -4 - (146 - 142)? -15 (2 + -9 + 29 - -1) + -4 + 6 25 1 + (1 - -4) - (17 + -20 - -2) 7 What is the value of (79 - 53) + -14 + (0 - 23)? -11 What is -23 + (-1 - -14) - -31? 21 -2 + 6 + -4 - (-8 + (-6 - -6)) 8 Evaluate -5 + 26 + -57 + 26. -10 What is (15 - (-4 - 6)) + -31? -6 What is the value of 25 - (-2 + (39 - 28 - (4 - -1)))? 21 Calculate 2 + -9 + (6 - 3 - -13). 9 What is (10 - (0 + 1) - -10) + 19? 38 Evaluate -17 - (20 + -69 - -27). 5 23 + -21 + 2 + -5 + -1 + 1 -1 Calculate -33 + 24 + 1 + 2 + -19 + -1. -26 Calculate 3 + 12 + -4 + (4 - 17) - 6. -8 What is -32 + (-6 + 9 - -10)? -19 Calculate -40 - (-3 - (27 + -13)). -23 Calculate -40 - (-12 + 0) - -15. -13 -28 - (1 + (-37 - -20)) -12 Evaluate 6 + (8 - (-5 + (-5 + 6 - -5))). 13 What is 1 + -13 + -1 - (-54 - (-65 + 14))? -10 What is (-2 - ((-4 - (-7 + 2)) + 9)) + -4? -16 What is -23 + (2 - -21) + -15? -15 Calculate (5 - 3 - 8) + (7 - -8). 9 1 + 5 + -11 + 1 + 11 7 Evaluate 7 + (9 - -7) + -32 + 5. -4 Calculate (-2 - 11 - -4) + 4 - (-13 + -2). 10 What is -7 + -10 + 7 + -3 + 7? -6 -3 + (0 + -
{ "pile_set_name": "DM Mathematics" }
164*t + 164*t + 168*t + 173*t - 684*t. -15*t Collect the terms in -169 + 62*l + 57*l - 118*l. l - 169 Collect the terms in 150*d**2 + 164*d**2 + 175*d**2 + 153*d**2 - 726*d**2. -84*d**2 Collect the terms in 3*m**2 - 217*m + 638 - 1205 + 567. 3*m**2 - 217*m Collect the terms in -17 - 1 + 30 - 13 - 9783*s. -9783*s - 1 Collect the terms in -127*h**2 - 1955968*h + 1955968*h + 118*h**2. -9*h**2 Collect the terms in 10 + 18*c + 25*c + 7 - 19 + 8*c + 7. 51*c + 5 Collect the terms in -28*h - 260*h + 288*h + 64*h**2. 64*h**2 Collect the terms in 821*m**2 - 217*m**2 - 217*m**2 - 191*m**2 - 219*m**2 + 22*m**2. -m**2 Collect the terms in -2492*x + 4246*x + x**3 - 1792*x. x**3 - 38*x Collect the terms in 2 + 99*l**3 - 79*l**3 - 10*l**3 - 2 - 7*l**3. 3*l**3 Collect the terms in -2018*u**2 + 2882*u**2 + 3903*u**2 + 3627*u**2 + 2764*u**2. 11158*u**2 Collect the terms in 1152*s**2 + 28*s - 72*s - 5357*s**2 + 44*s. -4205*s**2 Collect the terms in 2643*i - 899*i - 900*i - 841*i. 3*i Collect the terms in 3*u**2 - 2364906 + 1182452 - 10*u + 1182454 + 10*u. 3*u**2 Collect the terms in 456*r - 70 + 957*r + 2. 1413*r - 68 Collect the terms in -61327801 + 61327801 - 5*k. -5*k Collect the terms in 91*f**3 + 1442257895685*f**2 - 1442257895685*f**2. 91*f**3 Collect the terms in -378*v**2 - 377*v**2 + 814*v**2. 59*v**2 Collect the terms in 54981 + 32*r + 105*r - 54981 - 36*r. 101*r Collect the terms in -11 + 40 - 20 + 316730*p**3 - 11. 316730*p**3 - 2 Collect the terms in -18*p - 58504 + 15*p - 58495 + 11*p + 116999. 8*p Collect the terms in -6604 - 5*f**3 - 6612 - 6604 + 19814 + 557*f - 557*f. -5*f**3 - 6 Collect the terms in 300357*n**3 - 100115*n**3 - 100216*n**3 - 100159*n**3. -133*n**3 Collect the terms in -76502*h + 3 - 76500*h - 1 + 152985*h. -17*h + 2 Collect the terms in 8148*k**3 - 47939491*k + 47939491*k. 8148*k**3 Collect the terms in 35862*o + 35865*o + 35972*o - 107731*o. -32*o Collect the terms in 78*a + 2795*a - 1932*a - 935*a. 6*a Collect the terms in -3373*o - 6166*o + 9506*o. -33*o Collect the terms in 36151*t - 72523*t + 36380*t. 8*t Collect the terms in -11058*x**2 - 11060*x**2 + 33098*x**2 - 10993*x**2. -13*x**2 Collect the terms in -142575*o**2 - 18489*o + 18489*o. -142575*o**2 Collect the terms in -696 - 1696 - 36*k**2 + 34*k**2 - 220 - 14*k. -2*k**2 - 14*k - 2612 Collect the terms in -6*u - 6*u + 3719657314 - 3719657314 + 8*u. -4*u Collect the terms in 6829*q - 1767*q - 1536*q - 1755*q - 1766*q. 5*q Collect the terms in 496 - 648 - 1220 + 30*y**3 + 5*y**3. 35*y**3 - 1372 Collect the terms in 98*m**2 + 496*m**2 - 37*m**2 + 354*m**2. 911*m**2 Collect the terms in -248907*z**2 - 248905*z**2 - 248911*z**2 - 248901*z**2 - 248905*z**2 + 1493435*z**2 - 248902*z**2. 4*z**2 Collect the terms in 0*l**3 - 16*l**2 + 213*l + 63*l - l**3 - 430*l. -l**3 - 16*l**2 - 154*l Collect the terms in -4*u + 1 + u + 44735*u**3 - 2. 44735*u**3 - 3*u - 1 Collect the terms in -1984*d - 1974*d - 1979*d - 3*d**2 + 5935*d - 2*d**2. -5*d**2 - 2*d Collect the terms in 23*g + 141*g - 2*g**2 + 151*g + 10*g**2 - 39*g. 8*g**2 + 276*g Collect the terms in -158*r + 147*r + 160*r + 0 - 151*r + 0. -2*r Collect the terms in -13108*h**2 - 172351*h + 172351*h. -13108*h**2 Collect the terms in 185*i - 340*i + 156*i - 950*i**2. -950*i**2 + i Collect the terms in -60*i**2 + 61398*i**3 + 60*i**2 - 122792*i**3 + i + 61392*i**3 - i. -2*i**3 Collect the terms in -3075*x + 2943*x + 3043*x - 170*x. 2741*x Collect the terms in 4*p**2 + 12*p**2 + 12*p**2 - 8*p**2 - 1 + 527*p. 20*p**2 + 527*p - 1 Collect the terms in 40*w**3 - 2 - 1581290*w**2 + 1581290*w**2 + 178*w. 40*w**3 + 178*w - 2 Collect the terms in -41935 - 289*u + 41905 + 2*u**2 + 289*u. 2*u**2 - 30 Collect the terms in 6466214*i**3 - 3233117*i**3 - 3233114*i**3. -17*i**3 Collect the terms in 113*u**2 - 221*u**2 - 1673*u**2. -1781*u**2 Collect the terms in -1265*b**2 - 4767*b**2 - 7301*b**2 + 3307*b**2. -10026*b**2 Collect the terms in -407184*d**2 + 135700*d**2 + 135781*d**2 + 135702*d**2. -d**2 Collect the terms in 165*l**3 + 172*l**3 - 341*l**3 + 2200320 - 4400640 + 2200320. -4*l**3 Collect the terms in -6*r**2 - 13854598*r + 13854598*r. -6*r**2 Collect the terms in 445 - 12*c - 3*c - 2*c**2 + 15*c - 261. -2*c**2 + 184 Collect the terms in 9078*p - 49 - 18152*p + 40 + 9065*p. -9*p - 9 Collect the terms in -19248*o - 9985*o + 4 - 5 + 5648*o. -23585*o - 1 Collect the terms in 1 + 89574*l - 11130*l**3 - 89574*l - 1. -11130*l**3 Collect the terms in -30 - 818896*b + 818896*b - 617*b**2. -617*b**2 - 30 Collect the terms in 16629*l + 13693*l + 2264*l. 32586*l Collect the terms in 5*n**2 + 8*n**2 + 4*n**2 - 17*n**2 + 5*n**2 - 3*n**2. 2*n**2 Collect the terms in -12282*g + 2403*g + 195*g. -9684*g Collect the terms in 15*f - 25*f - 22*f - 20*f + 3*f. -49*f Collect the terms in 1255*v - 464*v - 788*v. 3*v Collect the terms in 5596*p + 12410*p + 13582*p - 3982*p. 27606*p Collect the terms in -30386*c**3 + 49613*c**3 + 89815*c**3. 109042*c**3 Collect the terms in 3*g - 3762851*g**2 - 3*g. -3762851*g**2 Collect the terms in 0 - 10*i + 323*i + 71*i + 3 + 40*i. 424*i + 3 Collect the terms in 2873487*h - 2873487*h - 8641*h**3. -8641*h**3 Collect the terms in 98*w**2 - 239*w**2 + 4497 + 142*w**2 - 4455. w**2 + 42 Collect the terms in 27*k - 6*k**3 + 95 + 81185*k**2 - 81185*k**2. -6*k**3 + 27*k + 95 Collect the terms in -31364*f - 612*f**3 + 117*f**3 + 15707*f + 15657*f. -495*f**3 Collect the terms in -29*b + 19*b + 9*b + 6397117*b**3 - 6397165*b**3. -48*b**3 - b Collect the terms in 6 - 35786432828*y**2 + 35786432834*y**2 - 6. 6*y**2 Collect the terms in 782*i**3 + 435*i**3 + 14015836540 - 14015836540. 1217*i**3 Collect the terms in 194*u - 35 + 216*u + 11. 410*u - 24 Collect the terms in 1552*t + 3 + 1225*t + 10 - 5 - 388*t. 2389*t + 8 Collect the terms in -1286*r + 109*r - 207*r. -1384*r Collect the terms in 174*u - 620*u + 228*u + 248*u. 30*u Collect the terms in -140521*q**3 + 91892*q**3 + 239166*q**3 + 341565*q**3 + 185891*q**3. 717993*q**3 Collect the terms in -8502*l**2 - 116 + 8514*l**2 + 118. 12*l**2 + 2 Collect the terms in -1 + 8 - 7 - 252101*q + 251746*q. -355*q Collect the terms in 72*o - 43*o - 14*o - 9 + 7 - 1 + 2. 15*o - 1 Collect the terms in -67*x**3 - 162614864 + 68*x**3 + 162614864. x**3 Collect the terms in -4799*t**3 + 4797*t**3 - 53*t + 43*t + 10*t. -2*t**3 Collect the terms in 2531*z**2 - z + 6704*z**2 + 838*z**2 + z. 10073*z**2 Collect the terms in -159*c**2 + 482*c**2 - 161*c**2 - 8 - 2 + 9 - 168*c**2. -6*c**2 - 1 Collect the terms in -1580*n - 1567*n + 32 + 3096*n. -51*n + 32 Collect the terms in -5*c - 6*c**3 + 4*c**3 - 17*c + 40*c - 15*c - 517. -2*c**3 + 3*c - 517 Collect the terms in 6*n**3 - 3964*n + 3964*n + 41*n**2. 6*n**3 + 41*n**2 Collect the terms in -3018*a**2 + 2 + 6047*a**2 - 3021*a**2. 8*a**2 + 2 Collect the terms in 16203835043 - 154*f - 225*f - 16203835043. -379*f Collect the terms in 46488 - 185966 + 46495 + 46490 + 2*f + 46493. 2*f Collect the terms in 5*p**2 + 8448*p**3 - 5*p**2 - 1 + 1 + 8559*p**3 - 17004*p**3. 3*p**3 Collect the terms in 5503*i**3 + 8123*i**3 - 3718*i**3. 9908*i**3 Collect the terms in 221723*i + 221740*i - 665208*i + 221772*i. 27*i Collect the terms in 3 - 13335*j**2 - 3 - 1 - 19333*j**2. -32668*j**2 - 1 Collect the terms in 804*d**2 - 804*d**2 + 17015480*d**3 - 17015479*d**3. d**3 Collect the terms in -2*f + 2*f**2 - 3*f**2 + 13118 + 6220. -f**2 - 2*f + 19338 Collect the terms in -28 - 26 - 27 - 12274*c**2 + 76. -12274*c**2 - 5 Collect the terms in -3*v**2 - 11*v**2 - 12*v**2 + 8*v**2 - 8 - 3*v**2. -21*v**2 - 8 Collect the terms in 89*n + 796*n**2 - 3 - 683*n**2 + 2. 113*n**2 + 89*n - 1 Collect the terms in -125 + 371 - 4760*l - 121 - 125. -4760*l Collect the terms in -12*d**3 - 354518016*d + 25*d**3 - 11*d**3 + 354518016*d. 2*d**3 Collect the terms in -251879 - 25*a**3 - 251942 + 503821. -25*a**3 Collect the terms in 4*i + 2130855 - 2130855. 4*i Collect the terms in -9971*n**3 + 4985*n**3 - 122206*n + 122206*n + 4989*n**3. 3*n**3 Collect the terms in 4 - 5 + 1 + 9891*v**3 + 9922*v**3 - 19826*v**3. -13*v**3 Collect the terms in -72*o**2 - 55*o**2 - 4080*o**3 - 49*o**2. -4080*o**3 - 176*o**2 Collect the terms in -1 - 6946*a**2 - 6972*a**2 + 1 + 13921*a**2. 3*a**2 Collect the terms in 226
{ "pile_set_name": "DM Mathematics" }
(d) = -21999*d - 2. Let b be k(q). What is b rounded to the nearest 10000? -40000 Let q(r) = 25*r - 14. Let g be q(-11). Let t = g - 591. Round t to the nearest 100. -900 Suppose -3*g = v + 5, 0 = 4*g + 3*v + 4 + 11. Suppose g*j - j + 500000 = 0. Round j to the nearest 1000000. 1000000 Let a = -89794540.188578 - -89794451. Let i = a - -1.180278. Let h = 88 + i. Round h to 3 decimal places. -0.008 Let f = -17 + 16.2. Let o = f - -2.4. Round o to 0 dps. 2 Let v = -0.046546 + 0.0461. What is v rounded to five decimal places? -0.00045 Let c = -2.02 + -8.08. Round c to the nearest integer. -10 Let n = 1916.0749052 - 1696.07490423. Let c = 157 - -63. Let o = c - n. Round o to seven decimal places. -0.000001 Let u(f) = -294*f**3 + 9*f**2 + 9*f + 10. Let l be u(10). What is l rounded to the nearest 10000? -290000 Let u = 1.6997 - 1.69. Round u to 3 decimal places. 0.01 Let s(z) = -3*z**2 - 5*z + 4*z**2 + 3*z + 1. Let h be s(1). Suppose h = -5*q - 4*u - 49980, 4*q - 3*u = -u - 40010. What is q rounded to the nearest 10000? -10000 Let p = 3.8 + -3.7999922. Round p to 6 dps. 0.000008 Let d = -0.13 + -0.07. Let a = d + 4.2. Let l = -4.0002 + a. Round l to four decimal places. -0.0002 Let s = 0.105 + -0.0863. What is s rounded to three dps? 0.019 Let y = 12.72 + 0.28. Let n = y - 13.013. Round n to 2 dps. -0.01 Let x(h) = 50*h**3 - 5*h**2 - 4*h + 4. Let s be x(6). Round s to the nearest one thousand. 11000 Suppose -2*q + 416 = -s + 3*q, -q = -s - 420. Let g = s - -642. Let r be g - (-2 - 9/(-3)). What is r rounded to the nearest one hundred? 200 Suppose -2*o + 3 = -0*o + z, 0 = 5*o - 5*z + 15. Let s be 0 - (56*112500 - o). Round s to the nearest one million. -6000000 Let v(z) = 10169*z**2 - 30434*z**2 + 0*z + 2*z + 2. Let k be v(2). Let s = 133054 + k. Round s to the nearest 10000. 50000 Let q = -9.2 - 49.8. Let r = q - -58.37. Round r to 1 decimal place. -0.6 Suppose -3430004 = -o - k, -11*o + 9*o - 5*k + 6860020 = 0. Round o to the nearest 100000. 3400000 Let j be -2 - (-98 - -2*1). Suppose 2*q - 4*y - y = j, 0 = y - 4. Let z = -32 + q. Round z to the nearest 10. 30 Let k = -0.92 - -1.65. Let p = 0.55 + k. What is p rounded to one dp? 1.3 Suppose -f - 6 = -2*f. Suppose 0 = -c + 3*z + 66 + 170, 4*z - 208 = -c. Let n = f + c. Round n to the nearest 100. 200 Suppose 2*s - 8 = 0, 2*n + 86 = s - 422. Round n to the nearest 10. -250 Let z be 8/10*(-5)/(-2). Suppose 3*f - z*l = -f - 32, -2*f + 8 = 5*l. Let w be (-779998)/3 + 4/f. What is w rounded to the nearest one hundred thousand? -300000 Let f = -26 - -26.00554. Round f to three dps. 0.006 Let z = 100 - 100.0108. What is z rounded to three decimal places? -0.011 Let g(i) = -29*i + 14. Let o be g(4). What is o rounded to the nearest 10? -100 Let l = -21.97 + 20.9. Let m = -0.53 - l. What is m rounded to 1 dp? 0.5 Let p = 453 - 453.0183. Round p to three decimal places. -0.018 Let d be 28/(-12) - (-1)/3. Let v be 107002 - (d + 3 - -1). Round v to the nearest ten thousand. 110000 Let u = 593 + -597.73. Let z = u - -4.5. Let t = 0.23000033 + z. Round t to 7 dps. 0.0000003 Let v = -0.012 - -0.01376. What is v rounded to three decimal places? 0.002 Let s(o) = 162*o - 8. Let y be s(4). What is y rounded to the nearest 100? 600 Let h = -26 + 29.8. What is h rounded to the nearest ten? 0 Let v = -56.999969 + 57. What is v rounded to five decimal places? 0.00003 Let w = -4.999995 + 5. Round w to 5 dps. 0.00001 Let i = -1.701 + 1.7. Round i to 3 decimal places. -0.001 Let k = 2.336 + -0.126. What is k rounded to one decimal place? 2.2 Let z = 140853 + -58853. Round z to the nearest 10000. 80000 Let s = -8 + 8. Suppose g - 2*g - 3*j + 28800003 = 0, -5*g - 4*j + 144000004 = s. Round g to the nearest one million. 29000000 Let y = 1.5011 - -0.3659. Let d = y - 1.9. Let m = d - -0.03218. Round m to 4 dps. -0.0008 Let v = 54967421 + -54967420.22000041. Let f = -0.78 + v. What is f rounded to 7 dps? -0.0000004 Let c = -4.40368 - -4.4. Round c to three decimal places. -0.004 Let a be 2225*((-2403)/3 + 1). What is a rounded to the nearest 100000? -1800000 Let i = 9988376.58700181 - 9988377. Let g = i + 0.413. Round g to 7 decimal places. 0.0000018 Let t = -263121 + 84121. What is t rounded to the nearest 10000? -180000 Let a be 12/4*1 + -91253. Let v be 80/1*a - 0. What is v rounded to the nearest one million? -7000000 Suppose -4*r - 14 = -2*k, -3*r + 22 = 2*k + 3*k. Suppose -6*j + 670000 = -k*j. What is j rounded to the nearest one hundred thousand? 700000 Let i = 67 - 146. Let n = -15265 - -15186.61. Let j = i - n. Round j to 1 dp. -0.6 Let l = 5337 + -3027. Suppose 1290 + l = 5*i. Round i to the nearest 100. 700 Suppose h + 5*s - 7 = 0, 5*h - 7*s = -2*s + 5. Suppose 4*l + 142 = h*l. What is l rounded to the nearest ten? -70 Let u = 0.5 + -0.25. Let t = 0.2500056 - u. What is t rounded to six decimal places? 0.000006 Suppose -4*t - 102731 = -40731. Round t to the nearest one thousand. -16000 Let d = -0.5 + 0.50000024. What is d rounded to seven dps? 0.0000002 Let n = 14 - -70. Suppose 5*c + 528 = c. Let x = c + n. Round x to the nearest ten. -50 Let h = 11748 + -11739.997. Let t = -5 - 3. Let l = h + t. Round l to two dps. 0 Let g = 10 + 60. Let o = -76.4 + g. Let d = 6.400027 + o. Round d to five dps. 0.00003 Let o = 3822.78247 + -3781.782. Let m = o + -41. Round m to four decimal places. 0.0005 Let t = 0 - 0. Let d = 0.2 - t. What is d rounded to 1 dp? 0.2 Let y = -0.6 - -0.67. Let t = -0.0604 + y. What is t rounded to three decimal places? 0.01 Let x(r) = -r**2 - 11*r - 4. Let z be x(-11). Let w be 4440/(z/((-200)/(-3))). What is w rounded to the nearest ten thousand? -70000 Let k = 11.9 - 11.8931. Round k to three dps. 0.007 Let y = -44437 - -172500. Let m be 0 + (41064 - 0) + -1. Let i = y - m. What is i rounded to the nearest 10000? 90000 Suppose -3*z + 48 = -4*a - 72, -a + z = 30. Round a to the nearest ten. -30 Let g(x) = -x. Let y(r) = -15*r + 1. Let f(c) = -10*g(c) + 5*y(c). Let a be f(5). Round a to the nearest 100. -300 Suppose -12 = -6*d + 3*d, -4*p = 5*d + 380. Round p to the nearest one hundred. -100 Let j = 2003391.22 + -1970704. Let c = -32696.2200007 + j. Let o = -9 - c. Round o to 7 decimal places. 0.0000007 Let b = 1063.8 + -1069.243. Let n = b - -0.043. What is n rounded to the nearest integer? -5 Suppose -3*o = n + 9, 15 = -5*n - 3*o - 2*o. Suppose -w = -n*w + 1110. Round w to the nearest 100. -1100 Let a = 1.068 + -1.1. Let s = a - -0.053. What is s rounded to two dps? 0.02 Let w = 60.408 - 60. What is w rounded to 1 dp? 0.4 Suppose j + 10 = 3*j, -3*k + 2*j = 22210. What is k rounded to the nearest 1000? -7000 Let t = 0.056 + -0.107. Let c = 0.259 - t. What is c rounded to 1 dp? 0.3 Suppose 5*i + d + d = 42500006, -2*i = 5*d - 17000015. Round i to the nearest one million. 9000000 Let r = 136.67 + -136. Let z = r - 0.531. Round z to 2 decimal places. 0.14 Let j = 114674 + -71677. Let a = -43029.949 + j. Let g = -33 - a. Round g to two dps. -0.05 Let p(z) = -533332*z - 28. Let y be p(21). What is y rounded to the nearest one million? -11000000 Let q = 1.1 + 0.1. Let x = -1.2000073 + q. Round x to six decimal places. -0.000007 Let v = 217.822 + -218. What is v rounded to 2 dps? -0.18 Let g be 1/(-5) + (-21)/(-5). Suppose 0 = -4*m + 2*m + 600000. Suppose 0 = y - g*y + m. What is y rounded to the nearest ten thousand? 100000 Let w(k) = k + 5. Let t be w(0). Suppose 2*g - 2*b + 0*b = -2599996, 3*b + 6500006 = -t*g. Round g to the nearest one million. -1000000 Let l be 16/(-2) - (6 + -5). Let q(z) = -z - 7. Let u be q(l). Let j(m) = -12251*m**2 + 3*m - 2. Let i be j(u). Round i to the nearest 10000. -50000 Let w = 34 - 9. Let x = w - 24.9896. What is x rounded to three dps? 0.01 Suppose 3*v - 216 = h + 1, -193 = h + 5*v. Round h to the nearest 10. -210 Let u = 225.9 + -208. Let j = -17.9000089 + u. What is j rounded to six dps? -0.000009 Let o = -7.62 + 8.8. Let d = -1 + 2. Let i = o - d. Round i to one decimal place. 0.2 Let f = 0.02 - 1.02. Let j = -1.006 - f. What is j rounded to two decimal places? -0.01 Let x = -17.949 + 18. What is x rounded to three dps? 0.051 Let l = -312 + 327.1. Round l to zero decimal places. 15 Let v = -23 + 22.99999993. Round v to 7 dps. -0.0000001 Let x(y) = y - 7. Let o be
{ "pile_set_name": "DM Mathematics" }
*3 + 3*s**2 + s - 52 What is the v'th term of -4157, -4101, -3999, -3845, -3633? v**3 + 17*v**2 - 2*v - 4173 What is the z'th term of -66, -144, -348, -738, -1374, -2316? -10*z**3 - 3*z**2 + z - 54 What is the o'th term of 4933, 10398, 15877, 21376, 26901, 32458? o**3 + o**2 + 5455*o - 524 What is the n'th term of 23038, 23059, 23094, 23143, 23206? 7*n**2 + 23031 What is the f'th term of 12, -7, -56, -135, -244, -383? -15*f**2 + 26*f + 1 What is the v'th term of 29, 216, 717, 1688, 3285, 5664? 26*v**3 + v**2 + 2*v What is the b'th term of -923, -2567, -5303, -9125, -14027? b**3 - 552*b**2 + 5*b - 377 What is the v'th term of -136, -449, -972, -1705? -105*v**2 + 2*v - 33 What is the j'th term of -1041, -926, -735, -468, -125, 294? 38*j**2 + j - 1080 What is the p'th term of 276, 284, 294, 312, 344, 396, 474, 584? p**3 - 5*p**2 + 16*p + 264 What is the h'th term of 1039, 1022, 981, 904, 779, 594? -2*h**3 - 3*h + 1044 What is the n'th term of 208767, 208766, 208765? -n + 208768 What is the c'th term of 941, 1909, 2909, 3941? 16*c**2 + 920*c + 5 What is the s'th term of -683619, -1367236, -2050853? -683617*s - 2 What is the d'th term of 199, 547, 1029, 1645? 67*d**2 + 147*d - 15 What is the q'th term of 250273, 250274, 250275, 250276, 250277, 250278? q + 250272 What is the c'th term of 15242, 15243, 15244, 15245, 15246, 15247? c + 15241 What is the l'th term of -558, -1046, -1860, -3000, -4466? -163*l**2 + l - 396 What is the o'th term of -1227, -1319, -1431, -1569, -1739, -1947? -o**3 - 4*o**2 - 73*o - 1149 What is the u'th term of 4146355, 4146345, 4146323, 4146283, 4146219? -u**3 - 3*u + 4146359 What is the a'th term of -412, -487, -536, -547, -508, -407, -232? 2*a**3 + a**2 - 92*a - 323 What is the b'th term of -9559, -19127, -28695, -38263? -9568*b + 9 What is the f'th term of -29068, -58155, -87256, -116377, -145524, -174703, -203920? -f**3 - f**2 - 29077*f + 11 What is the x'th term of -39, -96, -249, -546, -1035, -1764, -2781? -8*x**3 - x - 30 What is the b'th term of -42, -87, -108, -93, -30, 93, 288, 567? 2*b**3 - 59*b + 15 What is the w'th term of -5719, -22895, -51523, -91603, -143135, -206119? -5726*w**2 + 2*w + 5 What is the a'th term of 81, 734, 2525, 6024, 11801, 20426, 32469, 48500? 95*a**3 - a**2 - 9*a - 4 What is the f'th term of -163862, -327760, -491670, -655598, -819550, -983532? -f**3 - 163891*f + 30 What is the m'th term of 604, 585, 554, 511, 456, 389? -6*m**2 - m + 611 What is the r'th term of -1015926, -1015925, -1015924? r - 1015927 What is the u'th term of -156189, -312372, -468555, -624738, -780921? -156183*u - 6 What is the v'th term of 421, 3353, 11231, 26503, 51617, 89021, 141163? 408*v**3 + 25*v**2 + v - 13 What is the b'th term of -6271, -6259, -6249, -6241, -6235, -6231? -b**2 + 15*b - 6285 What is the g'th term of -248459, -496918, -745377, -993836? -248459*g What is the w'th term of -96, -12, 238, 648, 1212, 1924? -w**3 + 89*w**2 - 176*w - 8 What is the h'th term of -134, -176, -216, -254, -290, -324? h**2 - 45*h - 90 What is the k'th term of -52285, -104577, -156871, -209167, -261465, -313765, -366067? -k**2 - 52289*k + 5 What is the c'th term of -674, -874, -1056, -1214, -1342, -1434, -1484, -1486? c**3 + 3*c**2 - 216*c - 462 What is the k'th term of -825, -3306, -7441, -13230, -20673, -29770, -40521? -827*k**2 + 2 What is the g'th term of 5162, 10838, 16512, 22184, 27854, 33522, 39188? -g**2 + 5679*g - 516 What is the k'th term of 334775, 334788, 334815, 334862, 334935, 335040, 335183, 335370? k**3 + k**2 + 3*k + 334770 What is the r'th term of 436, 1268, 2910, 5770, 10256, 16776, 25738? 68*r**3 - 3*r**2 + 365*r + 6 What is the y'th term of 7196, 14394, 21594, 28796, 36000, 43206? y**2 + 7195*y What is the q'th term of 364, 1299, 2790, 4843, 7464, 10659, 14434, 18795? q**3 + 272*q**2 + 112*q - 21 What is the x'th term of -9673, -19356, -29039, -38722, -48405? -9683*x + 10 What is the h'th term of 4153, 16609, 37377, 66463, 103873, 149613, 203689? h**3 + 4150*h**2 - h + 3 What is the d'th term of -234, -353, -528, -771, -1094, -1509? -2*d**3 - 16*d**2 - 57*d - 159 What is the j'th term of -1942, -3921, -5908, -7903, -9906, -11917, -13936? -4*j**2 - 1967*j + 29 What is the j'th term of 38243, 38230, 38209, 38180, 38143, 38098, 38045? -4*j**2 - j + 38248 What is the h'th term of -26, -69, -114, -155, -186, -201, -194, -159? h**3 - 7*h**2 - 29*h + 9 What is the p'th term of -1683, -1720, -1781, -1866? -12*p**2 - p - 1670 What is the j'th term of -603, -728, -981, -1398, -2015? -6*j**3 - 28*j**2 + j - 570 What is the w'th term of -255120, -255128, -255136, -255144, -255152? -8*w - 255112 What is the w'th term of -163, -93, 49, 299, 693? 6*w**3 + 28*w - 197 What is the h'th term of -2363, -2104, -1869, -1670, -1519, -1428? -2*h**3 + 273*h - 2634 What is the d'th term of -397, -461, -525, -589, -653? -64*d - 333 What is the b'th term of 31, 197, 575, 1249, 2303, 3821? 14*b**3 + 22*b**2 + 2*b - 7 What is the b'th term of -157626, -157622, -157618, -157614, -157610, -157606? 4*b - 157630 What is the j'th term of -2592, -10349, -23270, -41355, -64604? -2582*j**2 - 11*j + 1 What is the t'th term of -16284, -32562, -48824, -65064, -81276? t**3 + 2*t**2 - 16291*t + 4 What is the i'th term of -768, -1379, -1836, -2139, -2288, -2283, -2124? 77*i**2 - 842*i - 3 What is the l'th term of -8, 24, 106, 250, 468, 772, 1174? 2*l**3 + 13*l**2 - 21*l - 2 What is the g'th term of -1056, -1086, -1132, -1200, -1296? -g**3 - 2*g**2 - 17*g - 1036 What is the g'th term of 800, 2988, 6636, 11744, 18312? 730*g**2 - 2*g + 72 What is the d'th term of -6409, -6412, -6429, -6466, -6529, -6624? -d**3 - d**2 + 7*d - 6414 What is the d'th term of -241, -939, -2071, -3613, -5541, -7831, -10459? 4*d**3 - 241*d**2 - 3*d - 1 What is the r'th term of 95258, 95272, 95286, 95300? 14*r + 95244 What is the i'th term of 182, -48, -278, -508? -230*i + 412 What is the j'th term of 11855, 11684, 11399, 11000, 10487, 9860? -57*j**2 + 11912 What is the b'th term of -2826, -2811, -2794, -2775, -2754? b**2 + 12*b - 2839 What is the m'th term of 9204, 9250, 9318, 9402, 9496, 9594, 9690? -m**3 + 17*m**2 + 2*m + 9186 What is the s'th term of 767, 770, 773? 3*s + 764 What is the h'th term of -493, -1533, -2573? -1040*h + 547 What is the s'th term of -162564, -162485, -162346, -162141, -161864, -161509, -161070, -160541? s**3 + 24*s**2 - 162589 What is the x'th term of 310, 441, 394, 169, -234? -89*x**2 + 398*x + 1 What is the x'th term of -1338, -5349, -12042, -21417, -33474, -48213? -1341*x**2 + 12*x - 9 What is the i'th term of 3719, 3710, 3701, 3692, 3683? -9*i + 3728 What is the o'th term of -15965, -15963, -15963, -15965? -o**2 + 5*o - 15969 What is the p'th term of -31271, -62542, -93813? -31271*p What is the j'th term of 1314, 1295, 1260, 1203, 1118, 999, 840, 635? -j**3 - 2*j**2 - 6*j + 1323 What is the k'th term of 399, 578, 757, 936, 1115, 1294? 179*k + 220 What is the w'th term of 48267, 96520, 144773? 48253*w + 14 What is the u'th term of 1054, 1152, 1418, 1936, 2790? 14*u**3 + 1040 What is the h'th term of 547783, 1095583, 1643393, 2191219, 2739067, 3286943? h**3 - h**2 + 547796*h - 13 What is the t'th term of 220, 376, 532, 688, 844? 156*t + 64 What is the p'th term of 83342, 166695, 250072, 333485, 416946? 2*p**3 + 83339*p + 1 What is the c'th term of -14001, -55957, -125881, -223773, -349633, -503461? -13984*c**2 - 4*c - 13 What is the k'th term of -9901, -9633, -9363, -9091, -8817, -8541? k**2 + 265*k - 10167 What is the t'th term of -1407, -1353, -1301, -1251, -1203? -t**2 + 57*t - 1463 What is the a'th term of 133870, 133866, 133860, 133852, 133842? -a**2 - a + 133872 What is the k'th term of -3936, -3939, -3944, -3951, -3960? -k**2 - 3935 What is the b'th term of 219, 1131, 3613, 8451, 16431, 28339? 131*b**3 - b**2 - 2*b + 91 What is the x'th term of 1951, 1971, 1991, 2011, 2031? 20*x + 1931 What is the i'th term of 1493, 5890, 13215, 23468? 1464*i**2 + 5*i + 24 What is the s'th term of 21259, 21222, 21185, 21148, 21111? -37*s + 21296 What is the x'th term of -304, -407, -578, -817, -1124, -1499, -1942? -34*x**2 - x - 269 What is the k'th term of 84, 98, 110, 120, 128? -k**2 + 17*k + 68 What is the w'th term of -429, -305, -99, 189, 559, 101
{ "pile_set_name": "DM Mathematics" }
5 - -88. Let o = m + 536/5. Factor o + 2/5*z + 1/5*z**2. (z + 1)**2/5 Let x(v) be the second derivative of -v**4/90 - 2*v**3/9 + 13*v**2/5 + 112*v. Factor x(h). -2*(h - 3)*(h + 13)/15 Suppose 3*g + 0 - 6 = 0. Suppose 19 = 5*d - 3*h - 0*h, d - h - 5 = 0. Factor 4 - o - 2*o**g - 16*o**d - 13*o. -2*(o + 1)*(9*o - 2) Let b be 9/15 + 306/15. Determine u, given that -6*u - 4*u**2 - 29*u**2 + 0*u - 48*u**3 - b*u**4 = 0. -1, -2/7, 0 Let k(m) be the first derivative of -12*m**5/5 + 2*m**4 + 4*m**3/3 - 92. Determine q so that k(q) = 0. -1/3, 0, 1 Let v = 2/137 + 407/274. Let h(r) be the second derivative of -3/4*r**4 - v*r**2 + 8*r + 3/20*r**5 + 0 + 3/2*r**3. What is u in h(u) = 0? 1 Let c(o) be the second derivative of -9*o**7/14 + o**6/15 + 134*o. Factor c(a). -a**4*(27*a - 2) Let x(r) be the second derivative of -r**6/70 - 3*r**5/28 - 3*r**4/14 + 2*r**3/7 + 12*r**2/7 - 4*r + 1. Factor x(o). -3*(o - 1)*(o + 2)**3/7 Let y(f) be the second derivative of f**7/33 - f**6/33 - f**5/55 + 249*f. Let y(o) = 0. What is o? -2/7, 0, 1 Let -90 + 2/5*z**3 - 26*z + 2/5*z**2 = 0. Calculate z. -5, 9 Factor 5*q**3 + 3*q**3 - 6*q**3 - 1052*q**2 + 988*q**2 + 64 - 2*q. 2*(q - 32)*(q - 1)*(q + 1) Let r be (0 - 1/(-33))/(41/246). What is k in r*k**5 - 4/11*k**3 - 2/11*k**4 + 2/11*k + 4/11*k**2 - 2/11 = 0? -1, 1 Let k = -10 - -12. Let t be k - (3 - 10/3)*-4. Factor -t*r - 2/3*r**2 + 4/3. -2*(r - 1)*(r + 2)/3 Suppose -4*z = -2*l + 48, 0 = -8*l + 6*l + 3*z + 44. Suppose -3*w - 3*h = -3, -5*w + 2*h + l = -w. Factor -y**4 + 5*y + 7*y**3 - 3*y + y**2 - 3*y - 6*y**w. -y*(y - 1)**2*(y + 1) Let c be 22 - ((-56)/42 + (-8)/(-6)). Suppose j - 47 = -4*a, 9*a + 2*j = 7*a + c. Factor -24*s**3 - 16/3*s**4 - a*s - 4/3 - 97/3*s**2. -(s + 2)**2*(4*s + 1)**2/3 Let -87/8*u - 15/2 - 15/8*u**2 = 0. What is u? -5, -4/5 Let y be (-1)/(((-2)/21)/2). Suppose 2*c = -5*w - 9, 0 = 2*c + 2*w - 7*w - y. Find t, given that 2*t - 4*t**2 - t**c + 2*t**3 + 7*t**2 = 0. -2, -1, 0 Let q(b) be the first derivative of -b**6/8 + 3*b**4/8 - 3*b**2/8 - 43. Factor q(n). -3*n*(n - 1)**2*(n + 1)**2/4 Let n(t) be the second derivative of -t**4/21 + 2*t**2/7 - 4*t + 1. Factor n(s). -4*(s - 1)*(s + 1)/7 Let u(c) be the first derivative of -3*c**4/4 - c**3 + 15*c**2/2 - 9*c + 219. Find z such that u(z) = 0. -3, 1 Let t(f) = f - 1. Let c(b) = 3*b**3 + 11*b**2 + 8*b - 16. Let u(l) = l**3 + l**2 + l - 1. Let n(x) = -c(x) + 5*u(x). Let q(k) = -2*n(k) - 6*t(k). Factor q(r). -4*(r - 2)**2*(r + 1) Let c(o) be the first derivative of -2*o**3/3 + 36*o**2 + 234*o - 458. Suppose c(a) = 0. What is a? -3, 39 Let c(p) be the first derivative of -3/2*p**2 - 2*p + 5/2*p**4 + 3*p**3 - 9. Solve c(i) = 0. -1, -2/5, 1/2 Let s = 1590/13 - 11117/91. Factor s*f**3 - 1/7*f + 2/7*f**2 - 2/7. (f - 1)*(f + 1)*(f + 2)/7 Let c(s) be the second derivative of s**6/120 - s**5/20 + s**4/8 - 17*s**3/6 - 20*s. Let m(h) be the second derivative of c(h). Factor m(p). 3*(p - 1)**2 Let y be (-2)/(387 + -382 - ((-66)/(-10) + 1)). Determine k, given that -12/13 + 2/13*k**2 - y*k = 0. -1, 6 Factor 0*w**2 + 0 + 10/7*w**5 - 2*w**4 + 4/7*w**3 + 0*w. 2*w**3*(w - 1)*(5*w - 2)/7 Let h(m) = m**3 + 19*m**2 + 34*m - 1. Let s be h(-17). Let z be 3 + s - 12/7. Determine t so that z*t**3 + 0 + 2/7*t + 4/7*t**2 = 0. -1, 0 Let d be (-1 - -4)*(6 + -5). Let c(n) = n**3 - 11*n**2 + 19*n - 90. Let f be c(10). What is l in -4/3*l**2 + l**d + 1/3*l + f = 0? 0, 1/3, 1 Let s(c) be the second derivative of -7*c**4/4 + 6*c**3 + 6*c**2 - 7*c - 2. Factor s(j). -3*(j - 2)*(7*j + 2) Let o be 10/(-4) + 1630/(-20). Let i be o/(-49)*(-2)/(-4). Suppose i*u**3 + 8/7*u**2 + 0 + 2/7*u = 0. Calculate u. -1, -1/3, 0 Factor -29/3*m + 5/6*m**2 - 4. (m - 12)*(5*m + 2)/6 Factor -144 - 160*k - 148/9*k**2 - 4/9*k**3. -4*(k + 1)*(k + 18)**2/9 Let j(k) be the second derivative of 0*k**2 + 15*k - 1/32*k**4 + 1/8*k**3 - 3/160*k**5 + 0. Find g, given that j(g) = 0. -2, 0, 1 Factor -9775*n**3 - 20 + 5*n**4 + 19*n**2 - 4*n**2 + 9795*n**3 - 20*n. 5*(n - 1)*(n + 1)*(n + 2)**2 Let o be ((-24)/(-18))/((-2)/(-3)). Let w be (3/o)/(3/16*4). Factor -11*r**3 - 10*r + w + 5/2*r**4 + 33/2*r**2. (r - 2)*(r - 1)**2*(5*r - 2)/2 Let m(b) be the third derivative of 5*b**7/84 - b**6/2 + 7*b**5/10 - b**4/3 - 95*b**2. Find o such that m(o) = 0. 0, 2/5, 4 Let u(y) be the third derivative of 0*y**3 - 1/20*y**5 + 0*y**4 - 38*y**2 + 0*y + 0. Find f such that u(f) = 0. 0 Let d be ((-58)/(-145))/(2/20). Factor 3*c**2 - 2*c - d + 4*c + c**2 - 2*c**2. 2*(c - 1)*(c + 2) Determine n so that -7 - 64*n**3 - 160*n - 64*n**2 - 104*n**2 - 45 - 4*n**4 = 0. -13, -1 Let l = 206/141 - 53/47. Factor -l*m - 2/3 + 1/3*m**2. (m - 2)*(m + 1)/3 Let t(w) be the first derivative of 1/5*w**5 + 0*w + 5/3*w**3 - w**4 - w**2 + 15. Factor t(f). f*(f - 2)*(f - 1)**2 Let l = 69 + -105. Let p be (-2)/(-72) + (-8)/l. Factor 1/4*m**5 + 1/2*m**2 - 1/2*m**3 - 1/4*m**4 + p*m - 1/4. (m - 1)**3*(m + 1)**2/4 Factor -66*i - 6*i**2 - 2*i**2 - 6*i**2 - 8*i**2 + 2*i**2 - 2*i**3 - 72. -2*(i + 3)**2*(i + 4) What is v in 0*v + 0 - 3/5*v**3 + 6/5*v**2 = 0? 0, 2 Let y be ((-4)/(-16))/((-3)/(-3066)). Let k = y - 255. Solve -1/2*j - 1 + k*j**2 = 0 for j. -1, 2 Let s(d) = 6*d**3 - 7*d**2 + 34. Let g be s(-5). Let z = g - -8027/9. What is x in 2/9*x**3 + 0 + 2/3*x - z*x**2 = 0? 0, 1, 3 Let q(v) = 6*v**5 - 19*v**4 + 32*v**3 + 6*v**2 - 24*v. Let k(u) = -37*u**5 + 113*u**4 - 193*u**3 - 37*u**2 + 144*u. Let r(z) = 6*k(z) + 39*q(z). Factor r(f). 3*f*(f - 2)**3*(4*f + 3) Suppose -5*a + 7*b - 2*b + 20 = 0, 5*a - b = 16. Let p(g) be the second derivative of -4/11*g**2 + 0 + a*g - 8/33*g**3 - 5/66*g**4 - 1/110*g**5. Factor p(t). -2*(t + 1)*(t + 2)**2/11 Let r(i) be the third derivative of -i**5/60 - i**4/24 + i**3 + 201*i**2. Factor r(q). -(q - 2)*(q + 3) Let m(g) = -12*g**2 - 1 + 3*g + 0 + 11*g**2 - 1. Let z be m(2). Suppose z*u - 1/2*u**3 - 2 + 3/2*u**2 = 0. What is u? -1, 2 Factor 0 + 4/7*y**3 + 60/7*y - 32/7*y**2. 4*y*(y - 5)*(y - 3)/7 Let g = -17 - -19. Factor -2*k + 4*k + k + k**2 + g. (k + 1)*(k + 2) Let n = 206 - 203. Let l(i) be the second derivative of 1/6*i**4 + 0*i**3 + 0*i**2 - 1/10*i**5 + 0 + n*i. Factor l(j). -2*j**2*(j - 1) Let o be 36/16 - (-3)/4. Let k be (-8)/4 + o - (2 + -3). Factor -4/11*s**3 + 0*s + 2/11*s**4 + 0 + 2/11*s**k. 2*s**2*(s - 1)**2/11 Let y be 4*((-119)/392 - (-12 + (-324)/(-28))). Let h = 7 - 4. Factor 0 - 1/2*f**h + 1/2*f**2 + 1/2*f - y*f**4. -f*(f - 1)*(f + 1)**2/2 Let a(l) be the third derivative of 0*l**3 - 1/105*l**7 + 0*l + 1/70*l**5 + 1/140*l**6 - 10*l**2 + 1/392*l**8 - 1/42*l**4 + 0. Factor a(t). 2*t*(t - 1)**3*(3*t + 2)/7 Let i(b) = b**3 + 2*b**2. Let h(f) = -f**3 - 107*f**2 - 205*f - 105. Let s(v) = -h(v) - 6*i(v). Suppose s(p) = 0. What is p? -1, 21 Let h(a) be the third derivative of a**8/1680 + a**7/168 + a**6/90 - 35*a**3/6 + 55*a**2. Let c(f) be the first derivative of h(f). Factor c(q). q**2*(q + 1)*(q + 4) Suppose -1/10*o**4 + 9/5*o**2 + 7/10 + 2*o + 2/5*o**3 = 0. Calculate o. -1, 7 Suppose 10*m - 246 = 7*m. Let x = m - 79. Factor 2/5*v**x - 1/5*v**4 - 1/5*v**2 + 0*v + 0. -v**2*(v - 1)**2/5 Factor 0*g + 0 + 2/9*g**4 - 2/3*g**3 + 4/9*g**2. 2*g**2*(g - 2)*(g - 1)/9 What is d in -3/2 - 15123/2*d**2 + 213*d = 0? 1/71 Let o be 13 + (-1500)/70 + 11. Factor -o*i**2 - 12/7*i**3 - 8/7*i - 2/7*i**4 + 0. -2*i*(i + 1)**2*(i + 4)/7 Let r(h) = -59*h**3 - 2*h. Let s be r(-1). Let y = s + -58. Suppose -1/4*t**y - 27/4 - 27/4*t - 9/4*t**2 = 0. Calculate t. -3 Let t(a) be the first derivative of -8*a**4/15 + 944*a**3/45 - 233*a**2/15 + 58*a/15 + 237. Factor t(v). -2*(v - 29)*(4*v - 1)**2/15 Let l be 100/(-800) - (-4)/8. Determine k, given that 0*k + 1/8*k**4 + l*k**3 + 0 + 1/4*k**2 = 0. -2, -1, 0 Let x be -3 + 6 + -6 + -2 + 5. Let r(n) be the second derivative of 1/18*n**4 + x - n + 0*n**2 + 2/9*n**3. Factor r(k). 2*k*(k + 2)/3 Let o(c) be the first derivative of 1/20*c**4 + 3/10*c**2 - 1/5*c + 2 - 1/5*c**3. Let o(g) = 0. What is g? 1 Let x = -2759/7 - -395. Let d = -1/12 + 43/84. Let -d*u**2 + 0 - x*u = 0. What is u? -2, 0 Let g(s) be the second derivative of -s**7/84 + 4*s**6/15 + 37*s**5/20 + 29*s**4/6 + 79*s**3/12 + 5*s**2 - 158*s. Factor g(n). -(n - 20)*(n + 1)**4/2 Suppose -66 = -3*v - 2*o, 0 = -2*v + 7*v - 4*o - 132. Let y = v + -19. Factor 0*p**2 + 5
{ "pile_set_name": "DM Mathematics" }
t 5, -325, -1 in decreasing order. 5, -1, -325 Put 2/7, -0.3, 0.81, -5 in increasing order. -5, -0.3, 2/7, 0.81 Put -0.01, 0.24, 3 in increasing order. -0.01, 0.24, 3 Put 5, 185, 2 in decreasing order. 185, 5, 2 Sort 1, 0, -709 in descending order. 1, 0, -709 Put -5, 172, 3/2 in increasing order. -5, 3/2, 172 Put -1, 461, -2 in ascending order. -2, -1, 461 Put 40, -3, -1, -2 in increasing order. -3, -2, -1, 40 Sort 3, 20, -27/2 in decreasing order. 20, 3, -27/2 Sort -4, -32, -12. -32, -12, -4 Sort -2, 1, -15, 0.1, 2/149. -15, -2, 2/149, 0.1, 1 Put 0, 1, 2, -4 in increasing order. -4, 0, 1, 2 Put -4, -3, 499 in ascending order. -4, -3, 499 Sort -65, 3, 1 in increasing order. -65, 1, 3 Put 15, -3, 1, -4 in ascending order. -4, -3, 1, 15 Sort -18, 2/3, -1/13, 0.4 in decreasing order. 2/3, 0.4, -1/13, -18 Sort 5/18, 4/5, -4, 2/19 in descending order. 4/5, 5/18, 2/19, -4 Sort -9, -2.5, -0.1, 3 in ascending order. -9, -2.5, -0.1, 3 Sort 3, 5, 297, -2, -4 in increasing order. -4, -2, 3, 5, 297 Put 3, -5, 37, 1 in descending order. 37, 3, 1, -5 Put -2, 0, 12, -1, -4 in ascending order. -4, -2, -1, 0, 12 Put -352, 5, -3, 0 in descending order. 5, 0, -3, -352 Put 0, 0.2, -30, 0.26, 1 in decreasing order. 1, 0.26, 0.2, 0, -30 Sort -66, 0, -2, -4 in ascending order. -66, -4, -2, 0 Sort 3, -1, 2, -8 in increasing order. -8, -1, 2, 3 Put -1, 14, 1.4, -2/9, -4 in increasing order. -4, -1, -2/9, 1.4, 14 Sort 4, -0.009, 0.01, 2/9 in descending order. 4, 2/9, 0.01, -0.009 Put 4, -59, 15 in descending order. 15, 4, -59 Sort 0.1, -0.2, -6, -0.5 in descending order. 0.1, -0.2, -0.5, -6 Sort 2, 1, 635 in decreasing order. 635, 2, 1 Put -2/13, -2/19, -0.5, 0.2 in decreasing order. 0.2, -2/19, -2/13, -0.5 Put 1, -0.4, -6, 3, -87/5 in descending order. 3, 1, -0.4, -6, -87/5 Sort -16, 4, -5 in decreasing order. 4, -5, -16 Put 1/9, 1/4, -3/5, -5 in increasing order. -5, -3/5, 1/9, 1/4 Sort 8, -8, -3, 3. -8, -3, 3, 8 Sort 1.4, -4/11, -0.34. -4/11, -0.34, 1.4 Put -5, 13, -1, -38, 0 in ascending order. -38, -5, -1, 0, 13 Sort 7/5, -3/7, -3. -3, -3/7, 7/5 Put -114, 3, 0, -1 in descending order. 3, 0, -1, -114 Put -3, 1, -1866, -1 in descending order. 1, -1, -3, -1866 Sort 2, -1, -5, -4. -5, -4, -1, 2 Put -0.5, 0, -4, 10.1, 0.4 in descending order. 10.1, 0.4, 0, -0.5, -4 Put -5, 9/4, 4/3, -1/2 in increasing order. -5, -1/2, 4/3, 9/4 Sort -0.4, 3/7, 21 in increasing order. -0.4, 3/7, 21 Put 0, -5, 125 in decreasing order. 125, 0, -5 Put 2, -4, -3, 20 in descending order. 20, 2, -3, -4 Sort 5, 4, 28. 4, 5, 28 Sort -6, 4, 25. -6, 4, 25 Sort 1/3, -1.9, 3, 2 in decreasing order. 3, 2, 1/3, -1.9 Sort 1/4, 0, -4/3, -45 in increasing order. -45, -4/3, 0, 1/4 Put 11, -17, 0, 5 in increasing order. -17, 0, 5, 11 Sort -3/2, 2/9, -0.1. -3/2, -0.1, 2/9 Put -4/7, -0.03, -0.4 in increasing order. -4/7, -0.4, -0.03 Sort -2, -3, 12, -17, -4 in decreasing order. 12, -2, -3, -4, -17 Sort -2/25, 0, 1/2. -2/25, 0, 1/2 Put 5, -166, 0 in descending order. 5, 0, -166 Sort 0.12, -1/5, 0 in decreasing order. 0.12, 0, -1/5 Sort -61, -4, 1 in decreasing order. 1, -4, -61 Put -4, 1.3, -2/103 in increasing order. -4, -2/103, 1.3 Sort 108, 1, 4, -3 in increasing order. -3, 1, 4, 108 Put 0, 1/69, 0.1 in decreasing order. 0.1, 1/69, 0 Put -5, 0.5, 6, 86 in increasing order. -5, 0.5, 6, 86 Put 0, 4, -5, -149, -3 in increasing order. -149, -5, -3, 0, 4 Put -2/7, 0.4, 0.9 in descending order. 0.9, 0.4, -2/7 Sort 295, -0.5, -4, -5 in decreasing order. 295, -0.5, -4, -5 Put 5, -4, 0, -183 in descending order. 5, 0, -4, -183 Put 4, -1, 5, 23 in increasing order. -1, 4, 5, 23 Put 4, -4, 219 in descending order. 219, 4, -4 Put -21, -0.26, 4 in decreasing order. 4, -0.26, -21 Sort -574, 1, -2. -574, -2, 1 Put -3, 8, 20, 5 in decreasing order. 20, 8, 5, -3 Sort -0.5, -3/137, 2, 9, 3 in decreasing order. 9, 3, 2, -3/137, -0.5 Put -0.3, -2/9, 4, -2/17, -2 in descending order. 4, -2/17, -2/9, -0.3, -2 Sort -2, -2/17, 0.5 in increasing order. -2, -2/17, 0.5 Sort 0, 62, -1, 4 in decreasing order. 62, 4, 0, -1 Put 1571, -4, 2 in increasing order. -4, 2, 1571 Put -5, 0, -1, 11 in ascending order. -5, -1, 0, 11 Put -3, 1, -2, -1/2 in descending order. 1, -1/2, -2, -3 Sort 2/7, 4, 0.5, 672, 5. 2/7, 0.5, 4, 5, 672 Put 30, -2, 5, -4, 2 in increasing order. -4, -2, 2, 5, 30 Sort 4, 0.069, 0.5, -0.3. -0.3, 0.069, 0.5, 4 Sort 3, 2082, -5, 1 in decreasing order. 2082, 3, 1, -5 Sort 1.227, -4, 2, -3 in ascending order. -4, -3, 1.227, 2 Sort -2, 0.1, -1/5, 9/1391 in increasing order. -2, -1/5, 9/1391, 0.1 Put -2/15, -3, 2/11, -16, 2/3 in increasing order. -16, -3, -2/15, 2/11, 2/3 Put 9, -0.3, 2/11, 2 in descending order. 9, 2, 2/11, -0.3 Sort -2, -4, -1, 1, 268 in descending order. 268, 1, -1, -2, -4 Sort -4, 357, 2, -0.1. -4, -0.1, 2, 357 Sort 5, 3, -5, 4, 113 in increasing order. -5, 3, 4, 5, 113 Put 13, 0, -3 in decreasing order. 13, 0, -3 Put 2, 19, 3 in descending order. 19, 3, 2 Put -82, -0.1, -8 in ascending order. -82, -8, -0.1 Sort -10, 17, -0.5, -2 in increasing order. -10, -2, -0.5, 17 Put -13, -5, 10 in decreasing order. 10, -5, -13 Put -68, 2, -2 in decreasing order. 2, -2, -68 Sort -2, 0, 7, 4 in increasing order. -2, 0, 4, 7 Sort -1, -5, -4, -7 in decreasing order. -1, -4, -5, -7 Sort 1, 7, 125 in decreasing order. 125, 7, 1 Sort 4, -4, -33. -33, -4, 4 Sort 21, 4, -4, -2. -4, -2, 4, 21 Sort 6/161, 0.4, 4 in descending order. 4, 0.4, 6/161 Sort -21, -3, 1 in descending order. 1, -3, -21 Put -2/3, 1, -6, -5 in ascending order. -6, -5, -2/3, 1 Sort 22, -1/7, 3 in increasing order. -1/7, 3, 22 Sort -6, 2/25, -4, -5, 1/6 in decreasing order. 1/6, 2/25, -4, -5, -6 Sort 0.7, 3, 0.3, 36, -1/4. -1/4, 0.3, 0.7, 3, 36 Put -347, -13, 3 in decreasing order. 3, -13, -347 Sort 4, 1096, -2, -5 in ascending order. -5, -2, 4, 1096 Put 4, -5, 8, -10 in increasing order. -10, -5, 4, 8 Put -2, -43, -3, 5 in descending order. 5, -2, -3, -43 Sort -104, 1, -5, 7 in descending order. 7, 1, -5, -104 Put 5, -11, 24, 1, -1 in decreasing order. 24, 5, 1, -1, -11 Put -4, 1, -8, -3, -33 in decreasing order. 1, -3, -4, -8, -33 Put 0.3, 2, 2/19 in ascending order. 2/19, 0.3, 2 Sort 4, -21, 18. -21, 4, 18 Sort 4, -5, 10, -36. -36, -5, 4, 10 Put -3, 2/11, -402, -3/7 in ascending order. -402, -3, -3/7, 2/11 Sort 0, 63, 4. 0, 4, 63 Sort 2, 2/3, -3, 2/7 in descending order. 2, 2/3, 2/7, -3 Put 4, -6, 0, 3 in decreasing order. 4, 3, 0, -6 Sort -2, 0, 6, 20, 3 in decreasing order. 20, 6, 3, 0, -2 Put 88, -1, -4 in decreasing order. 88, -1, -4 Sort -1.3, 1/5, 2/7, 1/7, -0.5 in descending order. 2/7, 1/5, 1/7, -0.5, -1.3 Sort 5, -2, -3, 286, 4 in increasing order. -3, -2, 4, 5, 286 Put 2/7, -22, -1, 48 in decreasing order. 48, 2/7, -1, -22 Sort -0.03, -3/4, -0.136 in increasing order. -3/4, -0.136, -0.03 Put -3, -2.4, -15 in descending order. -2.4, -3, -15 Put 3/5, -6/7, 1/6, -0.1 in increasing order. -6/7, -0.1, 1/6, 3/5 Sort 6, 1, -5, -14 in ascending order. -14, -5, 1, 6 Sort -4, -2, -398 in decreasing order. -2, -4, -398 Put -0.2, 0.2, -0.06 in decreasing order. 0.2, -0.06, -0.2 Put 4, 5, -12, 2 in increasing order. -12, 2, 4, 5 Sort -3, 4, 3, 5. -3, 3, 4, 5 Sort -2, 0.3, -4, -77. -77, -4, -2, 0.3 Sort -3.4, -3/19, -0.4. -3.4, -0.4, -3/19 Put -3, 0.1, -22/5, 1, 0.4 in descending order. 1, 0.4, 0.1, -3, -22/5 Put -0.5, -4, 2/11, 0.2 in increasing order. -4, -0.5, 2/11, 0.2 Put -8, -2/13, 16.6 in descending order. 16.6, -2/13, -8 Put 0.01, -0.13, 2/9, 0.1 in descending order. 2/9, 0.1, 0.01, -0.13 Put -8, -86, 0 in decreasing order. 0, -8, -86 Sort -1, 3/8, -14 in descending order. 3/8, -1, -14 Put -0.7, 2/13, 1/43, 0.4 in decreasing order. 0.4, 2/13, 1/43, -0.7 Sort 1, -3, -14 in ascending order. -14, -3, 1 Sort 132, 3, 1 in descending order. 132, 3, 1 Sort 1, 0, -3, -2, -37 in ascending order. -37, -3, -2, 0, 1 Sort -2, 1/3, -6/11, 2/7 in ascending order. -2, -6/11, 2/7, 1/3 Put -2, 9, -5, 6 in descending order. 9, 6, -2, -5 Sort -2/11, -1923, -3. -1923, -3, -2/11 Put 1, 0, 1.4, 3/11 in descending order. 1.4, 1, 3/11, 0 Sort -1/3, 9, 0.4, -3 in descending order. 9, 0.4, -1/3, -3 Put -167, 2, -54, 1 in decreasing order. 2, 1, -54, -167 Sort 89, 0.5, -2/5, 5 in increasing order. -2/5, 0.5, 5, 89 Put -1/5, -198, 3/4 in decreasing order. 3/4, -1/5, -198
{ "pile_set_name": "DM Mathematics" }
= 14 + n. Solve 3*d = -k + 12 for d. 4 Suppose 0 = -3*p - 0*p + 18. Let w = p + -3. Let c(s) = -2*s - 20. Let m be c(-11). Solve -m*f - 9 = -w for f. -3 Let v(c) = c**2 - 3*c + 2. Let g(p) = 2*p**2 + p - 1. Let o be g(1). Let s be v(o). Solve s*t + 12 = 3*t for t. 4 Let y(c) = c + 4. Let g be y(-4). Suppose -2*j - j = g. Suppose j = w - 0 - 5. Solve 2 - w = -n for n. 3 Suppose 2*v + 0 = 4. Suppose v*s = -2 + 14. Solve -2*b = -s*b - 16 for b. -4 Let t = -1 + 1. Let c(d) = d - 4. Let g be c(5). Let a(w) = -w + 1. Let f be a(g). Solve 2*n + f + 2 = t for n. -1 Let o be ((2 - 1) + -5)*-1. Solve -14 - 6 = -o*a for a. 5 Let l be (-20)/8*(0 - 2). Suppose 0 = -4*r + l*r - 2. Suppose -g = -r*g. Solve 4*t + 5 - 13 = g for t. 2 Let o(c) = -c**3 - 3*c**2 + 3*c - 1. Let l be o(-4). Solve 0 = l*n - 9 for n. 3 Let k(u) = -u**3 + 4*u**2 + 4*u. Let n be k(5). Let j(i) = -i**2 - 6*i + 1. Let b be j(n). Let t be (0 + -5)*16/(-20). Solve 2*q = -t - b for q. -5 Let u = 70 - 48. Let r(f) = f**3 + 8*f**2 - f - 8. Let p be r(-8). Solve 5*m - u + 2 = p for m. 4 Suppose 5*q - 18 = 2*j, 3*q + j + 2*j = -6. Solve q*n + 0 = -4 for n. -2 Suppose 3*v - 9 = 0, 5*i + 65 = -2*v - 3*v. Let r be (2 + -5)/(3/i). Solve 4 - r = -4*k for k. 3 Let v(f) = 5*f**2 - 1 - 7 - 8*f + f + f**3 - f. Let w be v(-6). Solve 0 = 3*h - 2*h + w for h. -4 Suppose 5*j + 15 = 3*y, -3*y + 25 = 2*y + 4*j. Suppose 0 = -5*q + w + 14, -3*w + 6 = 4*q - 9. Suppose 2*i + i = q. Solve y*h - 6 = -i for h. 1 Suppose 2*k - 4 = -4*v + 4*k, 0 = 2*k. Let z(n) = n. Let b be z(v). Solve s + 5 = b for s. -4 Suppose 0 = -3*n - 2*u - 0*u + 3, -2*u + 9 = 5*n. Let l be ((-15)/n)/(-1 - 0). Solve 3*q - l*q = 0 for q. 0 Suppose b + 5*q = 3*q - 6, -q = 2*b. Let c(d) = -d**b - 2 + 5*d + 1 + 0*d**2. Let a be c(4). Solve -a*p - 8 = -7*p for p. 2 Let b(n) = -n**2 - n. Let k(g) = 6*g + 6. Let i(s) = b(s) - k(s). Let x be i(-6). Suppose -5*t = -5*m - 35, 5 = -3*m + 14. Solve x = -3*d + 2 + t for d. 4 Let f(b) = -b**2 - 11*b - 5. Let m be f(-9). Solve 0 = -4*o + m + 3 for o. 4 Suppose -b = 2*b - 2*m - 14, 0 = -2*b - m. Let w be (b/3)/((-4)/(-24)). Suppose -y - 2 = 5*q, 3*q + 0*y + 2*y + w = 0. Solve 0 = -q*a + 4*a + 4 for a. -1 Let p(v) = -v**2 - 3*v + 27. Let o be p(0). Let l = o - 23. Let d(y) = -y**2 - 7*y. Let w be d(-5). Solve -l*k + 2*k = w for k. -5 Let w(x) be the second derivative of x**3/3 + x**2/2 - 3*x. Let l = -3 + 5. Let g be w(l). Solve -12 = -g*c + 13 for c. 5 Let q(k) = k**3 - 10*k**2 + 10*k - 21. Let f be q(9). Let p = 21 + f. Solve 0 = -5*j + 1 + p for j. 2 Suppose 4*i - 2*i = 0. Let z = i + 4. Suppose -3*n + 6 = -z*f, 8 = f + 3*n + n. Solve 2*b = -f*b - 8 for b. -4 Let k be 0 - (-1 - -2*1). Let b be k/(-2 - 14/(-8)). Let m(g) = g**3 - 5*g**2 + g - 5. Let n be m(5). Solve 0 = -n*i + b*i - 16 for i. 4 Suppose h = -0 + 1, h - 13 = -2*y. Solve -o = -y*o for o. 0 Suppose 2*p + p = 18. Solve 20 = p*s - s for s. 4 Let w be (5 - 4) + 7*1. Let h = -6 + w. Solve 5 = 3*l + h for l. 1 Let d = 22 - 21. Solve 4 = -5*z - d for z. -1 Suppose 2*p = -2*p + 12. Suppose h - 95 = -5*d + 104, -83 = -2*d + p*h. Suppose 4*n - d = -n. Solve 3*g + n = g for g. -4 Let s be 6 + 1 + 5 + -6. Let h = -1 - -1. Solve -2*q - s = -h for q. -3 Let t(p) = p**2 - 7*p - 15. Let u be t(9). Solve -8*r + u*r = -20 for r. 4 Let a(x) = x - 4. Let r be a(6). Suppose -4*b = 2*b - 24. Solve -r*q = -q - b for q. 4 Suppose -s + 4 = -0*s. Solve -2 = -s*v - 6 for v. -1 Let i(x) = 16*x**3 - 2*x**2 + x. Let s(t) = -t**2 - 12*t + 14. Let v be s(-13). Let y be i(v). Solve -2*c = c - y for c. 5 Let q be 1/(2/(2*7)). Suppose 2 = -5*p + q. Suppose -x + 0 = -p. Solve 14 = -5*h - x for h. -3 Suppose 2*b = -5*g + 37, -3*b + 4*g - 3 + 1 = 0. Suppose -b*t = -t - 15. Solve t = u - 0 for u. 3 Let q be 6/(-2) - (1 + -7). Suppose -2*b + 3*b + 8 = -q*i, -4*i - 16 = 0. Solve -b*n - 5 = 11 for n. -4 Let d(x) = 3*x + 1. Let g be d(-1). Let r = g + 6. Suppose -r*h = 4*c - 0*c, 0 = c. Solve -3 = -p - h*p for p. 3 Suppose -3*c + 2 = 4*k + 7, -9 = -5*c + 2*k. Suppose -2 = -g - 5*m + c, -2*g + 6 = -4*m. Solve 0 = -g*l - 10 - 2 for l. -4 Suppose -3*u = -2*u - 3*k - 9, 4*k = -3*u + 14. Solve -3*y + u*y - 12 = 0 for y. 4 Let s(j) = j**2 + 8*j - 3. Let l be s(-9). Let a(c) = c**3 - 3 - c**2 - 5*c**2 + 0*c + 2*c. Let o be a(l). Solve 4*f = -o + 1 for f. -2 Let y be (1/(-2)*(3 + -3))/(-2). Solve u + u + 10 = y for u. -5 Suppose -5*w = 4*n - 15, 4*n - 8 + 2 = -2*w. Let j be 86/(-18) + 2/(-9). Let c be (-6)/(-15) - 18/j. Solve n = -2*a + c*a - 4 for a. 2 Suppose m - b - 4 = 0, 3*m - b - 5 - 11 = 0. Let y(n) = 3*n - 13. Let g be y(6). Suppose g + 13 = 3*o. Solve -3*c + m = -o*c for c. -2 Let f(d) = -d**3 - 3*d**2 + 3*d + 1. Suppose -3*c - 9 = 3. Let v be f(c). Solve 5 = -2*t - v for t. -5 Let k(y) = 3 + y - 3 - 5*y**2 - y**3 + 5. Let t be k(-5). Solve s + 0 + 5 = t for s. -5 Let k(r) = r**2 - 6*r - 2. Suppose -5*v + 29 = -2*n, 0 = -4*v - 4*n + 8 + 32. Let z be k(v). Solve 3*h + z = 2*h for h. -5 Suppose -7*q = -4*q. Solve q = 3*c - 4*c for c. 0 Let o be 2/(-9) + (-325)/(-45). Suppose 3*r + 2*s - 14 = 0, 2*s - 18 = 2*r - o*r. Solve -2*x - r*x + 16 = 0 for x. 4 Let n be (4/8)/(4/40). Solve n*h - 6 = -31 for h. -5 Let l(f) = -f**3 + 4*f**2 + 6*f - 1. Let h be l(5). Let v(y) = y**2 - 2*y - 4. Let i be v(h). Solve 0*r = i*r for r. 0 Let r(o) = 5*o**2 + o. Let j be (-10)/(-15) + (-20)/(-6). Let z(v) = -4*v**2 - 2*v. Let a(u) = j*z(u) + 3*r(u). Let h be a(-4). Solve l - 2*l = -h for l. 4 Let f(m) = m**2 + 11*m + 6. Let n be 119/(-11) + 4/(-22). Let g be f(n). Solve 0 = 5*c - 9 - g for c. 3 Let i(n) = -n**3 - 12*n**2 - 14*n - 12. Let r be i(-11). Solve 0 = 3*b + r - 6 for b. -5 Suppose 3*y = -2*y. Suppose -m = -3*a + 13, -31 = -4*m + m - 5*a. Solve m*w + 4 + 4 = y for w. -4 Suppose 3*x - 4 - 18 = -2*l, -5*x = 20. Let y be (-2 - l)/(0 + -1). Suppose 0*s - 5 = -s. Solve 6 + y = -s*c for c. -5 Suppose -2*b + 62 = 4*p, -5*p + b = -0*p - 81. Solve -3*v - v = -p for v. 4 Let x = 40 + -35. Solve x*r + 3 = 4*r for r. -3 Let h(l) = 4*l**3 - l**2. Let f be h(1). Solve 0 = 5*q - 13 + f for q. 2 Suppose w = -w + 8. Let f = -10 - -26. Solve f = w*t + 4 for t. 3 Suppose -3*a + 29 = 5*m, -30 = -a - 3*a + 2*m. Solve -5*n + 17 = -a for n. 5 Let q(o) = -o**3 - 3*o**2 + 3*o + 1. Let h be q(-4). Let v = h + 15. Solve -2*j + v = 2*j for j. 5 Suppose -5*q = -4*q + 4, -32 = -3*o + 2*q. Let n = o + -5. Let t be (-3)/(-15) + 8/10. Solve -n = 4*z + t for z. -1 Suppose -3*j - 3 - 3 = -4*m, -j + 5 = m. Let d be (3 - m) + 0/(-1). Solve 4*a + 0*a = d for a. 0 Let g(t) = -t**3 + 11*t**2 + t - 11. Let l be g(11). Solve -5*y - 4 + 24 = l for y. 4 Suppose 10 = 2*f - 10. Suppose -4*w - f = x - 40, 4*x = -3*w + 16. Solve -4*a + 4 = -w for a. 3 Suppose -u = 3*u + 24. Let f = -4 - u. Let v = 10 + -6. Solve v - 2 = -f*s for s. -1 Let l = 16 + 2. Suppose 0 = 8*p - 5 + 5. Suppose p*s + 2*v = 3*s - l, 5*v = 5*s - 35. Solve z = s*z - 12 for z. 4 Suppose 8*p - 11*p + 9 = 0. Solve 5 = n + p for n. 2 Let v = 1 + 1. Let r be ((-4)/v)/(-2)*-17. Let d = 25 + r. Solve 3*g - d = -g for g. 2 Let y be 0 + 22 - (-2 - 1). Suppose y = 5*f + 2*n + 5, 3*f - 4*n = 12. Solve f = -2*m + m for m. -4 Let n = -15 + 31. Suppose -m + 5 = 0, -2*m - 38 + n = -4*a. Suppose 2*b = 8 + 6. Solve b*r - 3*r = -a for r. -2 Let i = 5 + -2. Suppose 5 = -5*a - 10. Let b be 1*a/i - -3. Solve b*r + 2*r = 0 for r. 0 Suppose 0 = -4*k + y - 2, 0*y + 6 = -3*k + 3*y. Solve 0 = -3*r - k*r for r. 0 Let z(i) = -i**2 + i. Let w(q) = -8*q**2 + 8*q + 1. Let h(m) = -w(m) + 6*z(m). Let g be h(2). Solve g*p + 2 = -1 for p. -1 Let w be (-1 + -2)*25/15. Let t = -2 - w. Let p = 5 - t. Solve -1 = p*z + 1 for z. -1 Suppose 0 = -9*q + 4*q. Suppose -b + 2 = 2*b + y, 0 = 5*b + 3*y - 6. Solve b = -i - q*i for i. 0 Let x = 12 - 15. Let q be 4/(8/6) + x. Solve q = r - 3*r for r. 0 Let h be (1/(-1))/(11 + -10) - -4. Solve 0 = -h*p + 5*p + 8 for p. -4 Suppose 5*k - 41 = -26. Solve k = 2*f - f for f. 3 Let s = -7 - -8. Solve 2*f = -9 - s for f. -5 Let s = 4 + 2. Let m = -2 + s. Solve -1 = m*j - 13 for j. 3 Suppose 3*a = 6*a. Solve a = -8*r + 3*r for r. 0 Suppose 8*k = 6*k + 4*p + 22, -3*p - 12 = 3*k. Solve -3*i + k + 8 = 0 for i. 3 Let d = -76 - -91. Solve 4*h + h = -d for h. -3 Let v be 30/(-36)*3*-2. Sol
{ "pile_set_name": "DM Mathematics" }
83*q**2 - q - 4*q wrt q. 624 Let c(l) be the first derivative of -1/10*l**5 + 0*l**4 + 25/2*l**2 + 30 - 8/3*l**3 + 0*l. Let h(z) be the second derivative of c(z). Differentiate h(k) wrt k. -12*k What is the second derivative of 1134*k**2 - 510*k + 556 - 556 + 1231*k**2 - 902*k**2 wrt k? 2926 Suppose 0 = -20*c + 45*c - 50. Find the first derivative of 3*x**2 - 252 + 0*x**c - 13*x**2 + 8*x**2 + 6*x**4 + 5*x**4 wrt x. 44*x**3 - 4*x Differentiate -417 - 4525*i + 784 + 794 + 4525*i - 1640*i**2 with respect to i. -3280*i Let s(n) = -8*n**3 - 518*n**2 + 748*n. Let f(y) = -34*y**3 - 2071*y**2 + 2991*y. Let a(t) = -3*f(t) + 13*s(t). Find the second derivative of a(j) wrt j. -12*j - 1042 Let c(u) be the second derivative of 0 + 23*u - 1/15*u**6 + 0*u**3 - 7/6*u**4 + 0*u**5 + 29/2*u**2. Find the first derivative of c(v) wrt v. -8*v**3 - 28*v Let h(v) be the third derivative of 0*v**4 + 0 - 3/35*v**7 + 1/40*v**6 + 0*v**3 + 0*v + 1/12*v**5 + 72*v**2. Find the third derivative of h(s) wrt s. -432*s + 18 Suppose -8 = -2*l, 4*l + l + 52 = -h. Let v = -47 - h. What is the derivative of -4 + v - 3 + 21*g + 4 wrt g? 21 Let a(d) be the third derivative of 1069*d**8/336 + d**6/120 - d**4/12 - 63*d**3/2 + 118*d**2 + 1. What is the second derivative of a(o) wrt o? 21380*o**3 + 6*o Let d(c) = c**3 - c**2 + 7*c + 2. Let r(h) = -1019*h**4 + 6*h**3 - 6*h**2 + 96*h + 29. Let v(g) = 6*d(g) - r(g). What is the second derivative of v(o) wrt o? 12228*o**2 Let y(f) = -35*f - 47. Suppose x + 6 = -2*o + 2, 3*x = 0. Let h(v) = 243*v + 330. Let d(w) = o*h(w) - 15*y(w). Find the first derivative of d(m) wrt m. 39 Suppose -3*o = -24 - 0. Let w be -1 + 62/o - (-26)/104. Find the second derivative of w - 4 - 25*x - 49*x**5 - 3 wrt x. -980*x**3 Let r(p) be the first derivative of 7076*p**3/3 - 3172*p**2 - 376. Find the second derivative of r(q) wrt q. 14152 Let m(l) = -69*l - 9202. Let s(j) = -104*j - 13692. Let c(a) = 8*m(a) - 5*s(a). Differentiate c(d) with respect to d. -32 Differentiate 42 + 2135*h**3 - 1069 + 1950*h**3 + 3*h**2 - 478 + 304 wrt h. 12255*h**2 + 6*h Let s(i) be the third derivative of 4435*i**9/504 + 1331*i**5/30 - i**3/3 - 2781*i**2. Find the third derivative of s(g) wrt g. 532200*g**3 Let b(q) be the second derivative of q**7/21 - 4*q**5 - 837*q**4/4 + 3047*q. Find the third derivative of b(s) wrt s. 120*s**2 - 480 Let b(q) be the first derivative of -2047*q**3/3 + 1391*q - 5. What is the derivative of b(h) wrt h? -4094*h Let k be 4/(-14) - (3 + 340/35). Let z = k + 14. Let s(w) = 7*w**4 - 11. Let n(h) = -h**4 + 1. Let l(u) = z*s(u) + 5*n(u). Differentiate l(d) wrt d. 8*d**3 Let q(x) be the first derivative of x**6/2 + 77*x**4/4 - 1601*x**2/2 - 1259. What is the second derivative of q(b) wrt b? 60*b**3 + 462*b Let a(h) = 3*h**3 - h**2 - 12*h + 9366. Let c(i) = 2*i**3 - 2*i**2 - 6*i + 9366. Let f(y) = -3*a(y) + 4*c(y). Differentiate f(v) wrt v. -3*v**2 - 10*v + 12 Suppose 11*h - 48 = 3*h. Let v be 1/(102/60 + h/(-4)). Find the third derivative of -8*r**2 - 6*r**3 - v*r**3 + 16*r**3 wrt r. 30 Suppose -19*g = -29*g + 150. Find the second derivative of -g*z**5 - 16*z**5 - 88*z + 21*z**5 wrt z. -200*z**3 Let q(i) be the first derivative of -i**4/6 + 7*i**3/6 - 15*i**2 + 64*i + 1. Let v(r) be the first derivative of q(r). What is the derivative of v(l) wrt l? -4*l + 7 Suppose 4*q - 29 = 5*y, 5*q - 8*y = -3*y + 35. What is the third derivative of -12 + q*o**6 - 12*o**2 - 2*o**4 - 11 + 24*o**2 - 13*o**2 wrt o? 720*o**3 - 48*o Let j = -26 + 392. Let n be (43/(-215))/(2/(-20)). What is the second derivative of j*l**n - 13*l - 366*l**2 + 5*l**3 wrt l? 30*l Let p(n) = -5*n**3 + 4*n**2 - 62*n + 237. Let r(f) = 5*f**3 - 3*f**2 + 60*f - 235. Let z(u) = 3*p(u) + 4*r(u). What is the derivative of z(i) wrt i? 15*i**2 + 54 Let u(v) = -449*v**3 - 201*v**2 - 3*v + 18. Let b(f) = 449*f**3 + 200*f**2 + 2*f - 12. Let r(y) = -3*b(y) - 2*u(y). Find the third derivative of r(h) wrt h. -2694 Suppose 0 = -12*z + 644 + 268. What is the derivative of 20*o**2 - 73*o - z*o + 205 - 4*o**4 + 149*o wrt o? -16*o**3 + 40*o Let s be (-114 + 5)*(-6)/6. Find the third derivative of -4 + s*o**3 + 11*o**2 - 7*o**2 + 15*o**3 wrt o. 744 Let h = 431 + -427. Let u(d) be the second derivative of 0*d**2 - 3*d + d**h - 1/2*d**3 + 0. What is the second derivative of u(z) wrt z? 24 Let h(d) be the first derivative of -2*d**2 + 135*d + 5 - 9*d**3 - 107*d + 0. Let w(u) = u**2 + u - 1. Let b(p) = -h(p) - 4*w(p). Differentiate b(n) wrt n. 46*n Suppose 2*i = 2*t + 7*i - 13, -27 = -3*t - 5*i. What is the first derivative of 76 + 18 + 28 + t + 117*x + 18 wrt x? 117 Let x(t) = -4754*t - 2183. Let n(z) = 52293*z + 23955. Let b(u) = -2*n(u) - 23*x(u). Find the first derivative of b(a) wrt a. 4756 Let a(y) = 1818*y**3 - 30*y**2 + y - 2400. Let p(d) = -1821*d**3 + 23*d**2 - d + 2399. Let z(i) = -3*a(i) - 4*p(i). What is the second derivative of z(l) wrt l? 10980*l - 4 Let i(s) be the first derivative of -s**4/4 - 56*s**3 + 3*s**2/2 + 16*s - 274. What is the second derivative of i(f) wrt f? -6*f - 336 Find the third derivative of -3248*t**3 + 791 - 1598 + 807 - 6*t**2 wrt t. -19488 Let p(a) be the third derivative of a**4/12 + 5*a**3/6 + 12*a**2. Let i be p(-1). Find the third derivative of 4*b**i - 19*b**3 - 1619*b**2 + 1642*b**2 wrt b. -90 Suppose -5*i = -p - 10, -16 = 2*i + i - 5*p. Let h be (24/(-2))/(-5 + 3). Find the second derivative of 427*s**i - 395*s**3 + h*s + s wrt s. 192*s Let t = 153 + -150. What is the third derivative of 0*a**3 - t*a**4 + 3*a**3 + 16*a**2 - a**3 + 13*a**4 wrt a? 240*a + 12 Suppose -630 = 5*t - 640. What is the first derivative of -1 + f - 29 - 5450*f**t + 5469*f**2 wrt f? 38*f + 1 Let j(t) be the second derivative of 199*t**7/14 - 389*t**3/3 + 329*t - 1. What is the second derivative of j(k) wrt k? 11940*k**3 Let x be (1591/(-129))/((-2)/510). What is the third derivative of 8 - 189*c**2 + 158*c**6 - 3145*c**3 + x*c**3 - 8 wrt c? 18960*c**3 Let m(i) be the second derivative of 1821*i**6/10 + i**4/12 - 118*i**2 + 11272*i. Find the third derivative of m(u) wrt u. 131112*u Let s(v) be the second derivative of 83*v**6/30 + 137*v**4/2 + 2*v + 230. Find the third derivative of s(b) wrt b. 1992*b Let v(t) be the third derivative of -1649*t**7/210 + 149*t**5/3 - 389*t**2 + 3. Find the third derivative of v(l) wrt l. -39576*l Let r(i) be the second derivative of 0*i**4 + i**2 - 77/30*i**6 - 16 + 0*i**5 - i - 15/2*i**3. Find the second derivative of r(p) wrt p. -924*p**2 Let q(s) be the third derivative of 2489*s**6/120 + s**5/12 - 105*s**4/8 + 464*s**2 + 1. Find the third derivative of q(o) wrt o. 14934 Suppose 21*n = 13*n + 56. Find the second derivative of -o**3 + 6*o**3 + 2*o - n + 10*o**3 wrt o. 90*o Let s be -4*(-2737)/210 - (-2)/(-15). Differentiate -s + 132*w**2 - 212*w**2 + 186*w**2 wrt w. 212*w Find the first derivative of 165 + 143*s**2 - 71*s**2 - 1387 + 3254*s**3 - 72*s**2 wrt s. 9762*s**2 Let k(g) = 17*g - 98. Let t be k(17). Suppose 2*l - 7*l + 100 = 0. Find the third derivative of -t*u - l*u**3 - 4*u**2 + 191*u - 4*u**3 wrt u. -144 Let z be (-1 - 3) + (4 - -4). Find the second derivative of -42*b**z + 5*b**2 - 35*b - 5*b**2 - 19*b wrt b. -504*b**2 What is the second derivative of -175 + 122 + 1963*m**2 + 53 + 1266*m wrt m? 3926 Let b(s) = 7*s. Let l be b(1). Let v(c) be the first derivative of -l + 18*c - 6 + 5 - c**3 - 6. Differentiate v(k) wrt k. -6*k Let q(i) be the third derivative of -i**8/168 + 1001*i**6/60 + 39*i**5 - 1444*i**2. Find the third derivative of q(t) wrt t. -120*t**2 + 12012 Let w = 1 - -1. Find the second derivative of 61*c + 28*c**w - 193*c**2 - 39 - 286*c + 39 wrt c. -330 Let r(f) = -111*f + 52. Let q = -274 - -276. Let k(m) = -111*m + 51. Let h(n) = q*k(n) - 3*r(n). What is the first derivative of h(x) wrt x? 111 Differentiate -22070*c**2 - 476 - 23402*c**2 + 44574*c**2 with respect to c. -1796*c Let o(k) be the second derivative of k**4/12 - 2*k**3/3 + 111*k + 2. Let n(v) = 206*v**2 - 48*v + 178. Let c(s) = -n(s) + 12*o(s). Differentiate c(i) wrt i. -388*i Suppose -f + 4 = 0, 5*f - 6 = k + 9. What is the second derivative of 48 + v + 25*v**5 + 2*v**3 - 45*v**k + 23*v**5 wrt v? 60*v**3 + 12*v Let n(l) = -2*l**4 + l**3 + l**2 + l + 2. Let v(c) = 1997*c**4 - 3*c**
{ "pile_set_name": "DM Mathematics" }
(o) = 20*o**2 - 2*o - 18. Let z(v) = -6*k(v) + 17*p(v). Let c be z(-5). What is the highest common divisor of c and 24? 6 Let t be (2*7)/(7/7). What is the highest common factor of t and 21? 7 Suppose -5*v + 667 = 4*a, 0*a - 178 = -a - 5*v. Suppose -a - 79 = -2*i. What is the highest common divisor of 11 and i? 11 Let l be 0/(1 - 3 - -1). Suppose l = 2*k + 4 - 74. Let c = k + -20. Calculate the greatest common divisor of 75 and c. 15 Suppose -9 = -3*k - 0, -3*g = 3*k - 42. Suppose -6*c + g*c = 75. Calculate the highest common factor of c and 135. 15 Let f(w) = -1. Let u(m) = m + 3. Let k(l) = -2*f(l) + u(l). Let i(a) = 3*a**3 + 1. Let r be i(1). Let z be k(r). What is the greatest common divisor of 9 and z? 9 Suppose -4*v = 17 + 31. Let y = v - -39. Suppose -5*a = q - 361, 3*a - 2*q = y + 187. What is the greatest common factor of a and 9? 9 Suppose -a = 2*h - 44, 5*h - 7*a + 2*a = 110. Suppose 23 + h = 5*j. Let y = 275 + -203. What is the greatest common factor of y and j? 9 Let n(y) = 6*y + 9. Let z be n(4). Let i(r) = 2*r. Let c be i(11). Calculate the highest common factor of c and z. 11 Let y be (2 - -3)*252/15. Let j = y - 30. Calculate the greatest common factor of j and 6. 6 Let o be ((-1)/(4/(-8)))/((-2)/(-5)). What is the greatest common factor of 35 and o? 5 Let f(g) = g**3 + 6*g**2 + 2*g + 7. Let n be f(-5). Let k = 82 + 160. Calculate the greatest common factor of k and n. 22 Let p(d) = -d**3 - 6*d**2 + 7*d + 1. Let i be p(-7). Let m = 11 - i. Calculate the greatest common divisor of m and 40. 10 Let n(v) = v**3 + 3*v**2 - 2*v. Let i be n(-3). Let f be 1908/27 - 4/i. What is the highest common factor of f and 28? 14 Let s(h) = -h**2 + 10*h - 7. Let y be s(9). Let c be -1 - (-37 - y/(-2)). Calculate the highest common divisor of 5 and c. 5 Suppose 4*b + 44 = 5*b. Suppose -b = -5*u + u. Suppose -m - 4 + 48 = 0. What is the greatest common factor of u and m? 11 Let r = -5 + 9. Suppose 5 = z - 1. Let d be 1/(6/20)*z. Calculate the greatest common divisor of d and r. 4 Let j = 0 - -2. Suppose -3*x + 289 = -5*l, -166 = -0*x - j*x - 2*l. Suppose 0 = -4*a + 35 + 9. Calculate the greatest common divisor of a and x. 11 Let h be (0 - -2) + 1 + 0. Suppose -s = -h*s + 8. Suppose s*n + 2*l - 190 = n, -2*l - 258 = -4*n. Calculate the greatest common factor of n and 16. 16 Suppose -o - 2*h = -2*o + 9, -4*o = 2*h - 26. Let l be 3/3 + o - -2. What is the greatest common factor of l and 90? 10 Let n(w) = 3*w + 1. Let p be n(3). Let q(f) = -25*f**3 - f**2 - 2*f - 1. Let b be q(-1). Calculate the highest common divisor of b and p. 5 Let f(y) = -y**3 + y - 2. Let c be f(-6). What is the greatest common factor of c and 26? 26 Let i(y) = -y**3 + 8*y**2 + 22*y - 11. Let h be i(10). Calculate the greatest common factor of h and 1. 1 Let d(r) = 71*r + 1. Suppose 3 = -s + 4*s. Let w be d(s). Let m = 56 - 48. Calculate the highest common divisor of m and w. 8 Suppose 2*q + 3*j - 3 = 8*j, 2*q = -4*j - 6. Let s be q/((-2)/(-2 - -18)). Let n be (1*(s + 0))/1. Calculate the highest common divisor of n and 8. 8 Suppose 0 = 4*n - 2*g - 26, 5*n - 2*g = -16 + 49. What is the greatest common factor of 7 and n? 7 Suppose 2*r = -3*r + 80. Calculate the greatest common factor of r and 64. 16 Let t be (-8)/(-1 + (-1 - -1)). Suppose -2*s - 3*h + 66 = -84, -210 = -3*s + 3*h. Calculate the greatest common factor of t and s. 8 Let b(z) = z**3 + 21*z**2 + 19*z + 4. Let x be b(-20). What is the highest common divisor of 56 and x? 8 Suppose 9 = -v - 0*v. Let b be 156/9*v/(-3). Suppose -17 = 5*x - b. What is the greatest common divisor of x and 1? 1 Suppose 0 = -3*j + 4 + 8. Let b = 11 - j. Calculate the greatest common factor of 77 and b. 7 Let n = 6 - -3. Let r = n - -5. Calculate the greatest common divisor of 2 and r. 2 Suppose 0*w + 8 = 2*w + 5*u, -4*u = 2*w - 12. Calculate the greatest common divisor of w and 28. 14 Suppose 8*l - 24 = 7*l. Calculate the greatest common factor of l and 4. 4 Let t = 4 - -3. Let r = t + 37. Let x = -14 - -25. What is the greatest common divisor of r and x? 11 Suppose -5*s = -38 - 162. Suppose 2*r = 6*r - s. Let p = 11 + -1. What is the highest common factor of r and p? 10 Let q be ((-4)/(-6))/((-14)/(-357)). Calculate the highest common divisor of q and 17. 17 Let g(j) = j**2 - 4*j - 9. Let u be g(7). Let c = 45 - u. Let l(s) = -s**3 + 4*s + 7. Let y be l(-3). Calculate the greatest common factor of y and c. 11 Let y be ((-6)/12*4)/(4/(-14)). Calculate the greatest common divisor of 56 and y. 7 Let d(z) = 32*z - 19. Let v be d(3). Let p be ((-3)/(-2) - 1)*10. Let n be 2/(p/(55/2)). Calculate the highest common factor of n and v. 11 Let z be 0*1/(-2) - -2. Let g(n) = n + 3. Let h be g(-4). Let t = 9 - h. Calculate the highest common divisor of z and t. 2 Let k(a) = a**2 - 2*a + 6. Let y(g) = 4*g**2 - 9*g + 25. Let v(x) = 9*k(x) - 2*y(x). Let r be v(0). What is the highest common factor of r and 4? 4 Let w = -9 - -37. Calculate the highest common divisor of w and 70. 14 Suppose -12*o + 4 = -11*o. Let g(w) = 0*w**3 + 2*w**3 + 0*w + w - 6*w**2 - 1. Let s be g(o). What is the greatest common divisor of s and 14? 7 Let o be (-7)/(-28) + 11/4. Suppose p = o*p - 90. Calculate the highest common divisor of p and 9. 9 Let w = -50 - -95. Let t = 21 - 12. Calculate the highest common divisor of w and t. 9 Let d(u) = u**3 - u**2 - u + 2. Let a be d(0). Suppose -x = a*x - 27. What is the greatest common factor of 72 and x? 9 Suppose -45 = -3*l - 0*l. Suppose 4*b - l = b. Calculate the greatest common factor of 35 and b. 5 Let p be 19 + -2*(-3 + 14/4). What is the greatest common factor of p and 2? 2 Let i(b) = -7*b**3 - 4*b**2 - 4*b - 2. Let m be i(-2). What is the highest common factor of 115 and m? 23 Let p be 1/((-3)/12) + 30. What is the greatest common factor of p and 13? 13 Let l = 78 - 54. Let v(s) = s - 4. Let a be v(4). Let n = a - -3. What is the highest common factor of l and n? 3 Suppose 7*m - 8 = -c + 3*m, 0 = 2*c + 2*m - 34. What is the highest common factor of c and 160? 20 Let h(u) = 8*u**3 + 2*u**2 - 2. Let o be h(1). Calculate the greatest common factor of o and 1. 1 Let n be -7 + 162 + (-6)/(-2). Suppose -4*j + n = -5*y - 132, 4*y = j - 78. What is the highest common divisor of 14 and j? 14 Let o be (0 - -1)*2 + -83. Let j = 342 + o. Suppose 3*m = 5*u - j + 24, 0 = 3*u + 3*m - 147. Calculate the highest common factor of 12 and u. 12 Let i be (9 - 7)*124/1. What is the greatest common factor of i and 31? 31 Suppose 2*h - 4*i = 10, 0 = 4*h - 0*i - 5*i - 14. Let u = 1 - h. Let m be (0 - -98)/(u - -1). What is the greatest common factor of 14 and m? 14 Suppose 2*b = -0*b + 76. Calculate the highest common divisor of b and 57. 19 Let s(m) = -m**3 - 10*m**2 - 11*m - 6. Let o = -20 + 42. Suppose -14 = 4*z + o. Let j be s(z). Calculate the highest common factor of 8 and j. 4 Let i(s) = 2*s**3 + 2*s**2 - 4*s + 2. Let d be i(2). What is the greatest common factor of d and 6? 6 Suppose -3*x = -2*u - 43, 46 = 3*x + 2*u + 11. What is the greatest common factor of x and 26? 13 Suppose -7 = -o + 9. Calculate the highest common divisor of o and 24. 8 Let g(a) = -2*a**2 - 2*a + 2. Let o be g(-2). Let n = 13 - o. Calculate the highest common factor of n and 15. 15 Suppose 0*x = -2*x + 4. Let m be 1*(1 + 0 + x). Let w(u) = 9*u - 3. Let g be w(m). Calculate the greatest common divisor of g and 8. 8 Let v = -13 + 189. Calculate the greatest common factor of 16 and v. 16 Let o = -108 + 156. What is the greatest common factor of o and 16? 16 Let w(d) = -d**3 - d**2 + d + 154. Let g be w(0). What is the highest common factor of g and 14? 14 Let j(o) = -21*o + 1. Let q be (-6)/(-12) + 6/(-4). Let u be j(q). Calculate the greatest common factor of 110 and u. 22 Let f(k) = -4 - 3*k**2 + 3*k**2 - 1 + k**2 - 5*k. Let n be f(6). What is the greatest common divisor of 3 and n? 1 Suppose 0 = -4*t - 1 + 17. What is the highest common factor of 20 and t? 4 Let s = 140 - 28. Calculate the greatest common divisor of s and 28. 28 Let g = 8 + -4. Suppose f = -5*s + 41, -g*f = 4*s - 0*f - 20. Let i be (s/(-2))/(6/(-24)). What is the highest common divisor of i and 12? 6 Let o be 0/(3 + 2/(-1)). Suppose -3*p + 4 + 20 = o. Let s be (-2)/p - (-10)/8. Calculate the greatest c
{ "pile_set_name": "DM Mathematics" }
6 in 3/86, -0.03, 1, 0.2? 1 Which is the closest to 7.41? (a) -83 (b) -13 (c) 3 c What is the closest to 0.33 in 2, -1061, -2/9? -2/9 What is the closest to -0.1 in -2507, 2/7, 3204/11? 2/7 What is the closest to -4/5 in 0.3, 39.6889, -2? 0.3 What is the closest to -4/15 in 2/5, 0, -0.01729, 5, 0.3? -0.01729 Which is the nearest to -14? (a) -1 (b) -10/3 (c) -2 (d) 2 (e) -62 b Which is the closest to 6162? (a) 0 (b) -2 (c) -1/8 a What is the closest to 170 in 1, 16, 77? 77 Which is the nearest to -2? (a) -0.0109 (b) -7 (c) 1.685 a Which is the closest to 0.1? (a) -28 (b) 3 (c) -1855 (d) 5 (e) -0.5 e What is the nearest to -1 in 1/27, 0.07, -12.7, 2/13, -4? 1/27 What is the closest to -46 in -2/19, 0.065, 2, -1, 0? -1 Which is the closest to -6/11491? (a) -0.8 (b) -2/11 (c) 4 (d) -5 (e) -11 b Which is the nearest to -0.06? (a) 5058 (b) -11 (c) -1/2 c What is the closest to -2/5 in -36, -7879/3, -0.36? -0.36 Which is the nearest to -120.5? (a) 2 (b) 6/11 (c) 3 (d) -425/4 d What is the nearest to 1/4 in 3/2, 10, 4424, -2/3, 4? -2/3 Which is the nearest to 0.06? (a) 4 (b) 4.6 (c) 4026 a Which is the nearest to 3? (a) 0.83463 (b) -3 (c) -5 (d) -4 a Which is the closest to 1/2? (a) 0.3 (b) -166 (c) -2 (d) 9 a What is the nearest to 151 in 0.03, -0.066, 2/9, 2? 2 What is the closest to -2/3 in 2/9, 2.1, -0.0104, 30, -1/3? -1/3 What is the closest to 0.19 in -4/33, 1/206, 4, -0.13, -1? 1/206 Which is the nearest to 4? (a) -2 (b) -2/85 (c) 5 (d) -264 (e) 1/3 c What is the closest to 0.1 in -35, 6/5, 7, -544? 6/5 Which is the closest to -0.1? (a) 3/22 (b) -2669 (c) 198 a What is the nearest to 17/2 in 167, 2, 2/49, 4, -2.7? 4 What is the closest to -29993 in -4, 2, -1/3, 0.107? -4 What is the nearest to 267 in 3/4, 0.054, -1/3, 3? 3 Which is the closest to -1/2? (a) -0.1 (b) 0 (c) 3/5 (d) 2/39 (e) -2 a What is the closest to 1 in -2/7, 1/4, -75297/8, 108? 1/4 What is the closest to -0.0196 in 2.5, 0.3, -3660? 0.3 What is the nearest to -235 in -4/7, 4, -0.5, -0.05, 9? -4/7 Which is the nearest to 0.1? (a) -32 (b) 1 (c) 3 (d) 0 (e) -103 (f) 362 d Which is the nearest to -0.25? (a) -1.82 (b) -0.3 (c) 2/5 (d) -2 (e) -8 b Which is the nearest to 45? (a) 7 (b) 0 (c) 11 (d) -1/4 (e) -14 c What is the closest to -0.048 in 3, 5/11, 5? 5/11 Which is the closest to 3? (a) -0.0703 (b) 0.53 (c) 0.04 b Which is the closest to -0.4? (a) -0.3 (b) -70/11 (c) -1/4 (d) 77 (e) 3 a What is the nearest to 660 in -2, -1/11, -5, 3, 76.5? 76.5 Which is the closest to -0.006? (a) -6 (b) 3/5 (c) 2437/2 (d) -1/4 d What is the nearest to 56 in -3, -9/7, 747, 2/7? 2/7 Which is the closest to -2? (a) -1/3 (b) 6/1921 (c) 1 a Which is the nearest to -11? (a) -4 (b) -667 (c) 9/13 a What is the nearest to 1 in 2/7, -173, -6, -5/11, 1/4? 2/7 Which is the nearest to -60? (a) 2077/7 (b) -4 (c) -0.05 b What is the nearest to -1/1336 in 1/10, 42, 14? 1/10 Which is the nearest to -6? (a) -2/21 (b) -2/33 (c) -4/9 (d) -1 (e) 1/3 d What is the closest to 67 in 1, -0.8, 7.308? 7.308 What is the closest to -2/7 in -1663, 0, -13/14, 0.4? 0 Which is the nearest to -1/4? (a) -4 (b) -89.64 (c) -6521 a What is the closest to -4/3 in 49.2, 0, 44, -3, -5/3? -5/3 What is the nearest to -6/7 in 195, 10, -3, -0.1? -0.1 What is the nearest to -0.3 in -65, -2967.5, 3/8? 3/8 Which is the nearest to 1? (a) 6475 (b) 0.2 (c) 214 (d) 7 (e) -0.3 b Which is the closest to 0.1011? (a) 1/4 (b) 0.01 (c) 0.55 b Which is the nearest to 1? (a) -0.6 (b) 4 (c) -3 (d) -1 (e) -9/13 a Which is the nearest to 0? (a) 286 (b) -5 (c) 123 (d) -5/4 (e) -0.5 e What is the closest to -2 in -6/25, -5, -92.02, 42? -6/25 Which is the nearest to 3/5? (a) 49965 (b) -1 (c) 46 b Which is the closest to 0? (a) 2/7 (b) 3.8284 (c) 677 a Which is the closest to -0.1? (a) 420 (b) -3 (c) -27 (d) 717 b What is the closest to 47 in -0.1, 1/3, 3/25, 0.3, -2? 1/3 What is the closest to -2 in 3/7, 1, -1.62, 3654? -1.62 What is the closest to -31 in -1/6, -683, -7, -4? -7 Which is the closest to -1? (a) 0.4394 (b) 31 (c) 6 (d) -1/3 d Which is the nearest to 1? (a) -23 (b) 1030/3 (c) 5 c What is the nearest to -2 in 275, -28, -4, -128? -4 What is the closest to -17 in 1/7, -14/60635, -5, 0, -4/9? -5 Which is the nearest to -10? (a) 5 (b) 0.0139 (c) 3/5 (d) -117 (e) 2/5 b Which is the nearest to 6271.22? (a) -1/9 (b) -2/9 (c) 0.2 (d) -4 c Which is the nearest to -25922? (a) 1 (b) -0.2 (c) 0.5 (d) 2/9 (e) 1.09 (f) 0 b What is the closest to 15/7 in -2/5, 5, 2, 8, 3, 46? 2 Which is the closest to 2/1587? (a) 0.4 (b) 0.2 (c) -65 (d) 12/5 b What is the nearest to -2748903 in -4/3, -4, 0.3, 4, 2/5? -4 What is the nearest to 1 in 0.191, 1442, 0.5, -7/3? 0.5 What is the closest to -1 in 97, -1, -40/157, -0.4, 2/15, -1/7? -1 Which is the closest to -2/9? (a) 7 (b) -36 (c) -2/11 (d) -0.15 (e) 2/9 (f) 127.8 c What is the closest to -0.1 in 16036, -11, -2, 0? 0 Which is the closest to -0.06663? (a) 0.1 (b) -0.5 (c) 4/9 (d) 0.3 (e) -3/7 a Which is the nearest to 2/5? (a) 4 (b) -591 (c) -2/285 c What is the nearest to 1/5 in -2/5, -16, 1/5, -1.7, 0.3, 3? 1/5 What is the closest to -0.11 in -421.4, -0.2, 5, -5, 22? -0.2 Which is the closest to 0.1? (a) -0.01 (b) 0.3 (c) 241 (d) -1/1532 (e) 2 d Which is the nearest to 415.904? (a) 0.2 (b) 2 (c) 0.09 b Which is the nearest to 0.32? (a) 1/174 (b) -0.02 (c) -0.4 (d) -0.3 (e) 4 a What is the nearest to 3 in -117, 1, 3/4, -1, -48/17? 1 Which is the nearest to 0.5? (a) 88 (b) 1 (c) 6144 (d) -3 (e) -0.1 b What is the closest to 1/5 in 54, 8, -2/7, -1/5, 481, -0.4? -1/5 Which is the nearest to 5? (a) 0.057 (b) -0.02 (c) 0.0771 (d) -3 (e) 4 (f) 1/2 e What is the closest to -2 in 2606, 31, -3? -3 Which is the closest to 0.1? (a) 2550 (b) 0.4 (c) 2/3187 c What is the closest to -1 in -92/11, 5, -1, -83, 1? -1 What is the nearest to 1 in -4, 0.7, -0.4, -16918, -1? 0.7 Which is the nearest to 6? (a) 4 (b) 5 (c) -447 (d) -1/3 (e) -1/5 b Which is the closest to -2? (a) -0.5 (b) 0 (c) -10 (d) -3/7 (e) 4641/2 a Which is the nearest to 4? (a) 1.7 (b) 2 (c) -4 (d) -15 (e) -0.2 b What is the nearest to 4/7 in 16/5, -17, 2, -2, 3/2? 3/2 Which is the closest to 1? (a) 4 (b) -1 (c) -31485/421 b Which is the closest to -1? (a) 1/13 (b) 0.2 (c) 0.36 (d) -15/418 (e) -0.1 e What is the closest to -4 in 1, 10, -3, 2/29, -0.5, -158? -3 What is the nearest to -10 in -2, 1, -5, -1/4, -45407, -0.1? -5 What is the nearest to 0.1 in -5, 4/31, -10, 0.04, 4? 4/31 Which is the closest to -2/7? (a) -2.9 (b) 10/121 (c) 3 (d) 4 (e) 5 b What is the nearest to 4 in -4/5, -4/113, -4/3, 0.2, 3/2, 271? 3/2 Which is the closest to -39326? (a) -1/287 (b) -2/9 (c) 3 b What is the nearest to 2 in -3, 0.2, -35354, -17? 0.2 What is the nearest to -1/2 in -8/3, 16, -8? -8/3 What is the nearest to 0.1 in 5, -27033, -5, -3? -3 What is the nearest to 492 in 63, -3/4, 56? 63 What is the closest to 1/3 in -0.14, 9, 3/128? 3/128 Which is the nearest to 5? (a) 4/7 (b) -0.25 (c) -0.0683 a Which is the closest to -1? (a) -5/8 (b) -12 (c) -3/1061 a What is the closest to -0.17 in 0.07, -0.0103, 0? -0.0103 What is the nearest to 10 in 25180, -0.4, 49? -0.4 What is the closest to 76 in 42598, 1/7, 5? 5 Which is the nearest to 0.0236? (a) 1 (b) 2/13 (c) 2 (d) 4 (e) 5 b What is the nearest to -2/5 in 2, 2/17, -1347/10? 2/17 Which is the nearest to 3? (a) -0.06 (b) -19.9 (c) -17 (d) 131/6 a What is the nearest to 1/2 in 4, 11/30, 6? 11/30 What is the closest to 1 in -5/9384, 6, 1? 1 Which is the closest to 2? (a) 0.4 (b) -11602 (c) -0.071 (d) -1/3 (e) -1 a What is the nearest to -0.03 in 0.2, -1619, 9.5, -0.4? 0.2 What is the closest to 0.1 in -1, 6, 82, 4758? -1 Which is the closest to 821? (a) 9 (b) -5 (c) 1/3 (d) -1/6 a What is the nearest to 6 in 18, -1/18, -16/3? -1/18 What is the closest to 2/5 in 16.5, 1.9, -1/6, 2/581, -0.02, 2? 2/581 What is the nearest to -1 in 0.816, -2/107, 0.4, -38? -2/107 What is the nearest to 5 in -5, -108.5, 881/2? -5 Which is the closest to 2/249? (a) 7/10 (b) -2 (c) 0.04 (d) 4.8 (e) -1 c Which is
{ "pile_set_name": "DM Mathematics" }
, -4, -5288 in ascending order. -5288, -4, 1, 5 Sort 5, 6/295, 44, 1/8. 6/295, 1/8, 5, 44 Put -2, 0, 90, 0.4 in decreasing order. 90, 0.4, 0, -2 Sort 1, 9, -1, -37059 in increasing order. -37059, -1, 1, 9 Sort -3, 666.95, 2/11 in increasing order. -3, 2/11, 666.95 Put 3, -8816, 15 in descending order. 15, 3, -8816 Sort 0.331, 12/17, 2/67. 2/67, 0.331, 12/17 Put -4, 6, 3, 133, 4, -1 in descending order. 133, 6, 4, 3, -1, -4 Put -5/256, 1/5, 0.044 in ascending order. -5/256, 0.044, 1/5 Sort -3, 2079, -15, 2/11 in ascending order. -15, -3, 2/11, 2079 Put 2, -2/11, 0.08941 in descending order. 2, 0.08941, -2/11 Sort -9, -15.8, 0.5, -0.56 in decreasing order. 0.5, -0.56, -9, -15.8 Put -2, 1/9, -0.5, 1.8, -0.4, 4 in increasing order. -2, -0.5, -0.4, 1/9, 1.8, 4 Sort -0.2, -14, -3/7, 6, -4 in increasing order. -14, -4, -3/7, -0.2, 6 Put -3, -1, 0, -741, 8, 3 in ascending order. -741, -3, -1, 0, 3, 8 Sort 2, -3, -4, -13, -911, 3 in decreasing order. 3, 2, -3, -4, -13, -911 Put 6, -4, -1, 18, 15 in decreasing order. 18, 15, 6, -1, -4 Sort 41, -1263, -5 in descending order. 41, -5, -1263 Put -1, -6, -2, 5, -80, 1 in descending order. 5, 1, -1, -2, -6, -80 Sort 0, -74201, -5, -3 in increasing order. -74201, -5, -3, 0 Put -417, 15, -6 in increasing order. -417, -6, 15 Sort -13, -2, -61137 in ascending order. -61137, -13, -2 Sort 4, 0, 6, -3, 110. -3, 0, 4, 6, 110 Sort 20, -2/7, 52 in descending order. 52, 20, -2/7 Sort -2/79, 33, -0.1, 2. -0.1, -2/79, 2, 33 Sort 4, 0, -4, -1530, 5. -1530, -4, 0, 4, 5 Put -97, -20, -5/3 in decreasing order. -5/3, -20, -97 Put -0.9, -2208/7, 1 in ascending order. -2208/7, -0.9, 1 Put 72, 0, 1, 5 in decreasing order. 72, 5, 1, 0 Put 1/3, 0.1, -1/26, -1, 1816 in descending order. 1816, 1/3, 0.1, -1/26, -1 Sort -1997, -33, -2 in decreasing order. -2, -33, -1997 Put -5, 3.8, -0.01, -2.3 in descending order. 3.8, -0.01, -2.3, -5 Sort -4, -36, 0, 3328 in descending order. 3328, 0, -4, -36 Sort -259, 3, -4, -44, 9 in descending order. 9, 3, -4, -44, -259 Sort 7.89, -17, -1, 2, 7 in descending order. 7.89, 7, 2, -1, -17 Sort -1945, -8, 5 in increasing order. -1945, -8, 5 Put 3, 2/15, 8/7, -2, 0.3 in increasing order. -2, 2/15, 0.3, 8/7, 3 Sort -11, 9, 1, -2, -3, 5 in ascending order. -11, -3, -2, 1, 5, 9 Sort 10, 3289, 4 in decreasing order. 3289, 10, 4 Sort -2, 5, 24, 2, -0.4 in increasing order. -2, -0.4, 2, 5, 24 Put -13, -2, 5, 4, 0.006 in decreasing order. 5, 4, 0.006, -2, -13 Sort 1/7, 2, 0, 4.771, -11 in ascending order. -11, 0, 1/7, 2, 4.771 Sort -113, 5/3, -0.17, 0.5, 2/13 in descending order. 5/3, 0.5, 2/13, -0.17, -113 Put -5, 7, -23, 4, 2 in descending order. 7, 4, 2, -5, -23 Put 87, 3/10, -2/7, 5, 12, -2/5 in ascending order. -2/5, -2/7, 3/10, 5, 12, 87 Sort -5, -1, 5, -8, 1273 in increasing order. -8, -5, -1, 5, 1273 Sort -30, -109, -430 in increasing order. -430, -109, -30 Sort 2, 432, 29, 5, 1, -2 in decreasing order. 432, 29, 5, 2, 1, -2 Sort -1, 0, 13, 3, -2 in ascending order. -2, -1, 0, 3, 13 Put 1/11, 0.2, -1775.1, 4, -3 in increasing order. -1775.1, -3, 1/11, 0.2, 4 Put -1, -336, 3 in ascending order. -336, -1, 3 Sort 17, 2, -229, 5, -4, 0.3 in ascending order. -229, -4, 0.3, 2, 5, 17 Sort -5, 4, -14212 in descending order. 4, -5, -14212 Sort 4, -4162, -10 in ascending order. -4162, -10, 4 Sort 3, -772, -2/19, 36, -2, -5 in ascending order. -772, -5, -2, -2/19, 3, 36 Put 27165, 2, -0.1 in increasing order. -0.1, 2, 27165 Put 535, -4, 0, -48 in descending order. 535, 0, -4, -48 Sort 0.4, -1.61, -37/7. -37/7, -1.61, 0.4 Put 5, 2, -196017 in decreasing order. 5, 2, -196017 Sort -4, -38, -83, -1. -83, -38, -4, -1 Sort 0.1, 230, 0.3, 2 in decreasing order. 230, 2, 0.3, 0.1 Put -3, 657/19, -0.3, -4/3 in ascending order. -3, -4/3, -0.3, 657/19 Put -77, -1, -62 in decreasing order. -1, -62, -77 Sort 10, 264, -9 in decreasing order. 264, 10, -9 Sort -0.04, -2/273, -3, -0.4, 1 in increasing order. -3, -0.4, -0.04, -2/273, 1 Sort -4, 9683, 0 in increasing order. -4, 0, 9683 Put -1, -0.26, 19, -4, 2/7, -0.3 in decreasing order. 19, 2/7, -0.26, -0.3, -1, -4 Put -919, -4, 4 in descending order. 4, -4, -919 Sort -36, 1, 7, -37, -5 in increasing order. -37, -36, -5, 1, 7 Sort 10, 106, -3, 1, 3. -3, 1, 3, 10, 106 Sort 2, 74, -70, 1, -5 in descending order. 74, 2, 1, -5, -70 Sort 684, -2, -3, 3 in descending order. 684, 3, -2, -3 Put 2, 13, -31, -3, -12, 1 in increasing order. -31, -12, -3, 1, 2, 13 Put -4, -9, -5, 448 in descending order. 448, -4, -5, -9 Put 0.11, -0.4, 3/7, 44, 0 in descending order. 44, 3/7, 0.11, 0, -0.4 Put 4, -2, -0.4, -0.3, -8.573 in ascending order. -8.573, -2, -0.4, -0.3, 4 Put 256, 12, 5/4 in increasing order. 5/4, 12, 256 Sort 0, 21053, 4 in descending order. 21053, 4, 0 Sort 1, 3, 2, 4, -2342. -2342, 1, 2, 3, 4 Sort -5, 20, 6, 31, -1 in decreasing order. 31, 20, 6, -1, -5 Sort -3, 2, -18, -2, 8. -18, -3, -2, 2, 8 Sort -5/2, -78, -1/7, 0.6, -4, 4 in decreasing order. 4, 0.6, -1/7, -5/2, -4, -78 Sort -4, -1, 1/3, -17 in decreasing order. 1/3, -1, -4, -17 Sort -614, 1, 3, -1, 2 in decreasing order. 3, 2, 1, -1, -614 Sort 8.4, -1/8, -2, 2, 1, -0.3. -2, -0.3, -1/8, 1, 2, 8.4 Put 1840/7, -2, -1/14 in ascending order. -2, -1/14, 1840/7 Put -4, -5, 11, -29, 0 in decreasing order. 11, 0, -4, -5, -29 Put -0.5, 3, 56, -21 in descending order. 56, 3, -0.5, -21 Sort -3, -0.06, -5, 0.03, 36, 0 in ascending order. -5, -3, -0.06, 0, 0.03, 36 Put -58, 5, 27, -11 in descending order. 27, 5, -11, -58 Sort -5, 130, -3.625 in decreasing order. 130, -3.625, -5 Sort 2/13, 1, 80146. 2/13, 1, 80146 Sort -7, -3/7, -1/3. -7, -3/7, -1/3 Sort -50/7, -3, 1, 2, -2/3. -50/7, -3, -2/3, 1, 2 Sort -1, 0, 70, -26 in ascending order. -26, -1, 0, 70 Sort 1301, -5, -1/5, 4, -1 in increasing order. -5, -1, -1/5, 4, 1301 Put 3, -3, -31, 208, 22 in increasing order. -31, -3, 3, 22, 208 Sort 4, 13, -4, -743, -5. -743, -5, -4, 4, 13 Sort 0.255, 37, 4 in ascending order. 0.255, 4, 37 Sort 187, -219, -2. -219, -2, 187 Sort -21, -5, 0, 116, 5 in decreasing order. 116, 5, 0, -5, -21 Sort -7, -26, -4, -8, -1 in decreasing order. -1, -4, -7, -8, -26 Put 5208, 3, 1/2, 4, -0.4 in increasing order. -0.4, 1/2, 3, 4, 5208 Put 1092, 5, -1, -3 in descending order. 1092, 5, -1, -3 Put 3, -5, 2/12974981 in descending order. 3, 2/12974981, -5 Sort -0.4, -3, -7/5, -2/3, 0.025 in ascending order. -3, -7/5, -2/3, -0.4, 0.025 Sort -0.87, -3, -229.7 in ascending order. -229.7, -3, -0.87 Sort 0.2, 0, -13, -4, -33, -6 in decreasing order. 0.2, 0, -4, -6, -13, -33 Sort 33, 8, 117. 8, 33, 117 Sort 4, 12, -8, -17, -13 in decreasing order. 12, 4, -8, -13, -17 Sort -1, 7, -11, -33, 2 in increasing order. -33, -11, -1, 2, 7 Sort 5, 327, -1, 2 in decreasing order. 327, 5, 2, -1 Put -5, -54, 38 in descending order. 38, -5, -54 Sort -1, -0.06, 0.059, 4, -5 in decreasing order. 4, 0.059, -0.06, -1, -5 Put -2/29, 0.2, 0.3, 6/11, 5, -6 in descending order. 5, 6/11, 0.3, 0.2, -2/29, -6 Put 3231, 4, -3, 0, 3 in decreasing order. 3231, 4, 3, 0, -3 Put 160, -41, 2, 0, 16 in ascending order. -41, 0, 2, 16, 160 Sort -10, -1, 0, 21, -5, -3 in descending order. 21, 0, -1, -3, -5, -10 Sort 1, 808, -19 in decreasing order. 808, 1, -19 Sort -1, 32, -5, -2/13, 0.8, -4 in descending order. 32, 0.8, -2/13, -1, -4, -5 Put -2281, 71, -2/5 in decreasing order. 71, -2/5, -2281 Sort 128, 0.3, -5, 1.5 in ascending order. -5, 0.3, 1.5, 128 Sort -1602, -4, 433. -1602, -4, 433 Put -9, -808, 11, 1 in increasing order. -808, -9, 1, 11 Put -3, 2, 0, 75, -83 in decreasing order. 75, 2, 0, -3, -83 Put -25, -2, -5, 5, -7 in descending order. 5, -2, -5, -7, -25 Sort 0.4, -0.3, -2, -2415, -5, -3 in descending order. 0.4, -0.3, -2, -3, -5, -2415 Sort -6, -5, 3, 0.258 in decreasing order. 3, 0.258, -5, -6 Put -1, 209, 3, -3, -2, 9 in decreasing order. 209, 9, 3, -1, -2, -3 Put 4, 12, 2/3, 0.2, -56, 2 in descending order. 12, 4, 2, 2/3, 0.2, -56 Sort -13, 2, 70, 0.1. -13, 0.1, 2, 70 Put 5, 3, -2, 13664 in decreasing order. 13664, 5, 3, -2 Sort -448, -3, -2, 1. -448, -3, -2, 1 Sort 40, -1, 4/7, -2, 2.04 in decreasing order. 40, 2.04, 4/7, -1, -2 Sort -3/206, 5, -5/14, 0.4 in increasing order. -5/14, -3/206, 0.4, 5 Sort -1, 0.229, -1/42, 6/13. -1, -1/42, 0.229, 6/13 Sort 7, 5, -3, 60, -2 in increasing order
{ "pile_set_name": "DM Mathematics" }
ative of -134001344*f + 556903319 wrt f? -134001344 What is the second derivative of 738334170*n**2 + 93377742*n - 4? 1476668340 What is the third derivative of 114219192*r**4 + 2*r**2 + 5*r - 3408408 wrt r? 2741260608*r Find the second derivative of 12812486*d**3*u**3 - d**3*u + 2*d**2*p*u**2 + 205*d**2*p*u + 2*d**2*p + 2*p*u + 245*u wrt u. 76874916*d**3*u + 4*d**2*p What is the third derivative of 799108840*a**3*z - 2*a**2 + 376948922*a*z wrt a? 4794653040*z Differentiate 4901295*r + 46940214. 4901295 Find the second derivative of 538*c**3*f**3 - 5895*c**2*s**2 - 2*c*f**3*s**2 + 6*c*f**3 + c*s**2 + 317*f + s**2 - 1 wrt c. 3228*c*f**3 - 11790*s**2 Find the second derivative of -59*l*m**3 - 6408378*l*m**2 - 20*l*m - 3*l - 1715659 wrt m. -354*l*m - 12816756*l What is the second derivative of 5561*f**5 - 4*f**3 - 321*f**2 + 382256*f - 164? 111220*f**3 - 24*f - 642 What is the third derivative of 96368537*k**4 + 74878654*k**2? 2312844888*k Differentiate -1395652*g - 5374372 with respect to g. -1395652 What is the first derivative of -713*a*d*g**2 + 2*a*d - 4*a*g - 236*a + 973*d*g**2 + d*g + 39*d + 2*g - 32 wrt a? -713*d*g**2 + 2*d - 4*g - 236 Find the first derivative of -31168450*f**4 - 61965384 wrt f. -124673800*f**3 What is the second derivative of -90261154*k**2 - 69083990*k wrt k? -180522308 What is the second derivative of 65737632*o**3 - 290686*o + 95 wrt o? 394425792*o Find the third derivative of 116159177*l**4 + 10*l**2 - 2*l + 1000702. 2787820248*l Find the second derivative of 212002*j**5 - 3*j**4 - 3*j**2 - 27522734*j. 4240040*j**3 - 36*j**2 - 6 Find the second derivative of -7846778*l**2 + 10*l + 69332. -15693556 What is the third derivative of 541222*d**4*q + 347*d**4 + 2*d**2*q + 4*d**2 + 114398*d*q - d - 2 wrt d? 12989328*d*q + 8328*d Find the first derivative of -304577020*o*r - 150379511*o - 2 wrt r. -304577020*o Find the first derivative of -167720*w**2 - 112*w - 91057340 wrt w. -335440*w - 112 What is the third derivative of -543149519*o*u**3 - 5*o*u**2 + 3*o*u + o + 2647*u**2 + u - 72 wrt u? -3258897114*o Find the first derivative of 47494*d**2*v - 1551*d**2 + 49*d + 9*v**2 - 2 wrt v. 47494*d**2 + 18*v Find the third derivative of -747*v**3*x**3 - v**3*x**2 - 3*v**2*x**2 - 7195234*v**2*x + 90046*x**3 wrt x. -4482*v**3 + 540276 What is the first derivative of 12*v**3*w**2 - 2036817*v*w**3 - 622638*w**3 + 27*w wrt v? 36*v**2*w**2 - 2036817*w**3 Find the second derivative of 13*b*r**2 + 123337*b*r*s + 3*b*s**2 + 5*r**2*s**2 - 31*r**2*s - 54*r**2 - 4*r*s**2 wrt r. 26*b + 10*s**2 - 62*s - 108 What is the third derivative of -28*o**5 + 6929811*o**3 + 1835*o**2 - 103*o - 42 wrt o? -1680*o**2 + 41578866 Differentiate 6515*w**4 - 2*w**3 + 107*w - 1440541 wrt w. 26060*w**3 - 6*w**2 + 107 Find the second derivative of -113*g**2*j*p + 12*g**2*j - 6*g**2*p + g**2 + 277*g*j*p - g*j + 36*g - j*p - 6*j wrt g. -226*j*p + 24*j - 12*p + 2 What is the derivative of 13907195*g - 9408369? 13907195 Find the second derivative of -585047*u**3 + 5*u**2 - 53880471*u wrt u. -3510282*u + 10 Differentiate 244978726*c*p**3 + 503213*p**3 - 25*p**2 - 2*p with respect to c. 244978726*p**3 Find the first derivative of -35357096*n - 12200261. -35357096 Find the second derivative of -32*a*l**2*z**2 - 24818*a*l**2 + 20*a*l*z**2 + 16*a*l*z - 1975*a*z wrt l. -64*a*z**2 - 49636*a What is the third derivative of -846336880*f*k**3 + 78*f*k**2 + 7*f - 883*k**2 - 13*k wrt k? -5078021280*f Differentiate -6*a*i**2*n - 6095*a*i**2 + 7*a*i*n + 3*a*n + 8*a + 6*i + 150*n wrt n. -6*a*i**2 + 7*a*i + 3*a + 150 What is the derivative of 2*c*z**2 + 135297*c*z + 2*c - 2*z**2 - 8463162 wrt z? 4*c*z + 135297*c - 4*z Find the second derivative of -130648*u**4 + 1224*u**3 + 103776344*u. -1567776*u**2 + 7344*u What is the third derivative of -14815771*u**4*x + 8*u**3*x - 2078566*u**2*x + 2*u**2 + 27*x wrt u? -355578504*u*x + 48*x What is the first derivative of 2663559*l**2 - 2518027 wrt l? 5327118*l Differentiate -199058646*r**4 - 46133608 with respect to r. -796234584*r**3 What is the second derivative of 924321*n**3 - 3*n**2 - 190372752*n wrt n? 5545926*n - 6 Differentiate -3*n**2*r + 261*n**2 - 1030281*n*r + 127*n with respect to r. -3*n**2 - 1030281*n What is the second derivative of 66824891*c**4 + 69632977*c wrt c? 801898692*c**2 What is the third derivative of -3*f**3*q**2 + 3965255*f**3*q + f**2*q**2 - 149*f**2*q - 33*f*q**2 - f*q + 28*q wrt f? -18*q**2 + 23791530*q What is the second derivative of 10*a**2*d**2*o**2 + 831458*a**2*d**2 + 2*a*o**2 + 4*a + 2*d**2 + 44 wrt a? 20*d**2*o**2 + 1662916*d**2 Differentiate -165507*z**2 - 27*z - 274242125 with respect to z. -331014*z - 27 What is the second derivative of 108549009*c**3 + 37254*c - 3002? 651294054*c Find the first derivative of 211386129*j + 633498386 wrt j. 211386129 What is the second derivative of -101093644*k**3 - 874473*k + 33? -606561864*k Find the third derivative of -180*a**2*k**3 + a**2*k**2 - 3*a*k**3 + 654*a*k**2 + 21923*k**3 + 247*k**2 wrt k. -1080*a**2 - 18*a + 131538 Find the second derivative of g**3*w**2 - 21177*g**3 - 21*g**2*w**2 + 3475*g*w**2 - 35*g - 8*w wrt g. 6*g*w**2 - 127062*g - 42*w**2 What is the third derivative of t**4 + 2729323*t**3 - 19319909*t**2? 24*t + 16375938 Differentiate -1063702829*b**2*t**2 + 292396576*t**2 wrt b. -2127405658*b*t**2 Find the second derivative of -642847720*n**3 - 9*n + 4011337 wrt n. -3857086320*n Differentiate -21398355*d**3 + 33614918 with respect to d. -64195065*d**2 Find the first derivative of 810*h**2*q + 5963*h**2 + 45420117*q wrt h. 1620*h*q + 11926*h What is the second derivative of 3786*j**3*x**2 - 18*j**3 + 23177*j**2*w**2*x + 3*j**2*w*x + 776*j*w**2*x**2 + 2*j*x - j wrt x? 7572*j**3 + 1552*j*w**2 Find the third derivative of -11453716*u**5 - 85*u**2 + 992916*u wrt u. -687222960*u**2 Find the second derivative of -7*a**2*k**2 + 5521*a**2*k + 4512624*a*k**2 + 9*a*k - 24*k wrt k. -14*a**2 + 9025248*a What is the second derivative of 1220514*p**2 - 291399*p - 9 wrt p? 2441028 Find the third derivative of -51*n**6 - 626234*n**3 - 59*n**2 - 1354343*n. -6120*n**3 - 3757404 Find the first derivative of -6*n**2 - 384644*n + 9573613. -12*n - 384644 Differentiate p**2 + 21058199*p - 410087030 wrt p. 2*p + 21058199 What is the third derivative of 8476893*p**3 + 323618*p**2 + p - 7 wrt p? 50861358 Find the first derivative of -88316546*m**2 + 232797832. -176633092*m Find the second derivative of 50*a*f*o**2 - a*o**2 + 8*a - f*o**2 + 462227*f*o + 2136*o**2 wrt o. 100*a*f - 2*a - 2*f + 4272 What is the second derivative of -6493*c*z**2 + 965176*c*z - 76*c + 30306*z**2 - z - 2 wrt z? -12986*c + 60612 What is the first derivative of -36766*o**4 + 125*o**2 + 23484893? -147064*o**3 + 250*o What is the second derivative of -5963437*s**4 - 994*s + 1912? -71561244*s**2 What is the third derivative of -4226009*n**3 + 21574438*n**2? -25356054 Differentiate -13168943*g**4 - 218503740 wrt g. -52675772*g**3 Differentiate -14102708*x**4 + 39891474 with respect to x. -56410832*x**3 Find the first derivative of 2058911*z + 205982216. 2058911 Find the second derivative of -21287892*b**2*j**2 - 11*b**2 - 2*b*j**2 + 2*b*j - 2*b - 55*j**2 + 120*j + 45 wrt b. -42575784*j**2 - 22 What is the third derivative of 165892755*g**4 + 36308*g**2 - 712 wrt g? 3981426120*g What is the third derivative of i**6*j + 33530128*i**4*j - 127*i**2*j - 276727*i**2 wrt i? 120*i**3*j + 804723072*i*j Find the second derivative of -17818306*y**5 - 20829751*y. -356366120*y**3 Find the third derivative of 1029299*d*f**4 + 36*d*f**3 - 4121578*d + 14*f**2 wrt f. 24703176*d*f + 216*d What is the third derivative of 2413639*o**6*u + 4*o**4*u + 2*o**2*u + 3*o**2 - 12*u + 5550 wrt o? 289636680*o**3*u + 96*o*u Differentiate 335402958*c + 95584742. 335402958 Find the second derivative of 711327*o*r**3 + o*r**2 + 34*o*r + 50353*o + r**2 wrt r. 4267962*o*r + 2*o + 2 What is the first derivative of 472351157*r**3 - 728481463 wrt r? 1417053471*r**2 Find the second derivative of 325106941*y**2 - 26073*y - 329. 650213882 What is the second derivative of 2*c**3 + 90047089*c**2 - 446*c - 507077? 12*c + 180094178 What is the first derivative of 93*s**2*t - 307*s**2 - 51*s*t - 8*s - 6079284*t wrt s? 186*s*t - 614*s - 51*t - 8
{ "pile_set_name": "DM Mathematics" }
(-2)/l*-2 is divided by 7? 4 Let i = -150 + 219. Suppose 4*j - 5 = 3*t - i, -j - 20 = -t. Let o = 4 - -2. What is the remainder when t is divided by o? 4 Suppose -y + 14 = 3*r, -5*r + 28 = -r - y. Suppose -5*z + 24 - 89 = 0. Let f = -9 - z. What is the remainder when r is divided by f? 2 Let a(o) = -o**2 - 9*o + 5. Calculate the remainder when a(-9) is divided by 1. 0 Let f(y) = y**3 - 6*y**2 + 2*y - 9. Calculate the remainder when 5 is divided by f(6). 2 Let z(t) = -t - 11. Calculate the remainder when 38 is divided by z(-21). 8 Suppose 3*r - 5*r = -64. Calculate the remainder when r is divided by 9. 5 Let r = -39 + 150. Calculate the remainder when r is divided by 38. 35 Let w(x) = -2*x**2 - 24*x - 3. Calculate the remainder when 182 is divided by w(-10). 34 Suppose 3*k - 29 = -14. Calculate the remainder when 19 is divided by k. 4 Suppose 0*v + 2*v + 3*z - 9 = 0, 4*z = 5*v - 11. What is the remainder when 5 - v - 9*-1 is divided by 3? 2 Let c = 6 + -3. Suppose 4 = c*a - 32. Calculate the remainder when 35 is divided by a. 11 Let a be 3 + -4 + (2 - 1). Suppose a*t = -2*t - 12. What is the remainder when 13 is divided by (1 - -1)/(t/(-21))? 6 Let z = -10 - -11. Calculate the remainder when 21 is divided by -1 + 1 - z - -7. 3 Suppose -6*f = -2*f - 16. Suppose -3*w - 9 = 3. Calculate the remainder when f is divided by (3/2)/((-3)/w). 0 Let c be (-4)/6 - 26/6. Let r = 0 - c. Calculate the remainder when 9 is divided by r. 4 Let y = 2 - -1. Suppose -y = 4*a - 59. Calculate the remainder when a is divided by 8. 6 Suppose y - 3*y + 8 = 0, 194 = 3*n + 5*y. Suppose 12 + n = 2*k. Suppose z = -3*w + 6, 2*z - 3*w = 13 + 17. What is the remainder when k is divided by z? 11 Suppose 5*w - 13 = 22. Let t(p) = p**3 - 6*p**2 - 3*p + 2. Calculate the remainder when t(w) is divided by 8. 6 Suppose 0 = -i + 3*i - 2*g - 60, -15 = 3*g. Calculate the remainder when 68 is divided by i. 18 Let x = 8 - 8. Suppose 5*r + 22 - 167 = x. What is the remainder when 56 is divided by r? 27 Suppose 0 = 3*r + p - 5, 3*r + r = 2*p. Let k = 4 + r. Suppose -2*j - 2*j = s - 24, 3*j - k*s = 18. Calculate the remainder when 17 is divided by j. 5 Let g be 14/18 + 12/54. Suppose 0 = -h + 2 + g. What is the remainder when 3 is divided by h? 0 Let m = 6 + -2. Let z(n) = -n - 7. What is the remainder when z(-14) is divided by m? 3 Suppose -k - 4*k - 10 = 0. Let v(n) = n - 5. What is the remainder when v(6) is divided by k + (0 - 3*-1)? 0 Suppose -f = 3*u + 27, u - 6*u = -f - 19. Let g = f - -29. Calculate the remainder when 17 is divided by g. 2 Suppose -j + 24 = -7*j. Let m be 0/(-3) - 190*2. Calculate the remainder when (-3)/(-5)*m/j is divided by 15. 12 Let b(f) = f**2 - 3*f + 4. Let u be b(4). Suppose 26 = 2*t - u. Suppose n - 12 + 3 = 0. What is the remainder when t is divided by n? 8 Let h(q) = -6*q**3 - 2*q**2 + 2*q + 1. What is the remainder when h(-2) is divided by (3/(-6))/(1/(-38))? 18 Suppose 2*b = 4*i - 26, -2*i + 5*b - 3*b + 16 = 0. Let z be ((-6)/i)/(2/(-55)). Let q = z + -18. What is the remainder when 43 is divided by q? 13 Suppose 4*a - 169 - 63 = 0. Calculate the remainder when a is divided by 15. 13 Suppose 1 - 6 = -n. Suppose -4*w + 58 = 5*c, 3*c = -n*w + 2*c + 83. What is the remainder when 50 is divided by w? 16 Let c(f) = 2*f + 24. Calculate the remainder when c(9) is divided by 8. 2 Let z = -94 - -141. Calculate the remainder when 92 is divided by z. 45 Suppose -2*u = 3*y - 35, -u = -y + 2*u + 8. Let q(l) = 6*l - 34. Calculate the remainder when q(9) is divided by y. 9 Suppose 4*k + 2*r = 28, -2*r - 36 = -4*k - 0*k. Suppose 0 = w - 2*w + 19. What is the remainder when w is divided by k? 3 Suppose 20 = 3*j + j. Suppose -3*u - 2*x + 52 = 0, -4*u + 90 = u + j*x. Suppose u = 3*t + t. What is the remainder when t is divided by 3? 1 Suppose -9 - 12 = -b. Let s = -1 + 42. What is the remainder when s is divided by b? 20 Suppose 75 = -0*b + 5*b. Let z = b + -4. What is the remainder when z is divided by 68/18 + (-2)/(-9)? 3 Let l(t) be the second derivative of t**5/20 - t**4/6 - 5*t**3/6 + t**2 - 4*t. What is the remainder when 26 is divided by l(4)? 12 Suppose 12 + 58 = -5*j. Let o be (-2360)/(-28) - (-4)/j. What is the remainder when 26 is divided by (-21)/(-35) - o/(-10)? 8 Let m = -4 + 6. Suppose 2*a = -m*a + 412. What is the remainder when a is divided by 26? 25 Let k(o) = o**2 - 10*o + 14. Suppose -5*z = -0*z - 3*c - 110, 5*c = z. What is the remainder when z is divided by k(10)? 11 Let b = -7 + 36. What is the remainder when b is divided by 15? 14 Let t(z) = z + 4. Let i be t(-8). Let s(p) = -p**3 + 4*p**2 + p - 4. Let a be s(4). Let h = a - i. What is the remainder when h is divided by 2? 0 Calculate the remainder when 27 is divided by (30*1)/3 - (8 + -5). 6 Let t be 25/2*(-4)/(-5). Suppose x = 3*x, -5*i + 2*x + t = 0. Calculate the remainder when 5 is divided by i. 1 Let i(q) = -13*q**3 + q. Let c = -6 - -9. What is the remainder when 2/c*(51 - 0) is divided by i(-1)? 10 Calculate the remainder when 29 + 0 + 3 + -1 is divided by 12. 7 Let p = 20 + -9. Suppose 6 = s - p. Calculate the remainder when 66 is divided by s. 15 Let g be ((-6)/12)/(1/(-10)). Suppose 0 = -g*h - 16 + 1. Let m(p) = -3*p - 2. Calculate the remainder when m(h) is divided by 4. 3 Suppose 102 = m - 123. Calculate the remainder when m is divided by 19. 16 Let w = 106 + -63. Suppose -23 = -5*j + 2. Suppose 0 = 5*t + 3*n - 72, -2*t = j*n - 19 - 6. Calculate the remainder when w is divided by t. 13 Suppose d + 17 = -4*t, -t = -4*d - 4 - 13. Let q = t - -4. What is the remainder when (-16 + q)*2/(-2) is divided by 8? 7 Calculate the remainder when 30 is divided by 1 - (-21)/((-9)/(-3)). 6 Let b = -76 + 158. Calculate the remainder when b is divided by 21. 19 Suppose 810 = 5*y + 100. Suppose 2*f + y = 5*c, c + 5*f + 89 = 4*c. Calculate the remainder when 27 is divided by (c/(-10))/(4/(-20)). 13 Let x(i) = 3*i**3 - 3*i**2 - 4*i + 3. Calculate the remainder when 9 is divided by x(2). 2 Calculate the remainder when -4 + 1 + 1 + 37 is divided by 6. 5 Suppose 0*g = 2*g + 4*d - 4, -3*g - 4*d = -14. What is the remainder when 69 is divided by g? 9 Suppose -2*b = 4*b - 306. What is the remainder when b is divided by 18? 15 Suppose -4*u - 24 = -2*f, -f = -u - 0*u - 9. Suppose -3*h + f*h = 51. What is the remainder when 33 is divided by h? 16 Let g(v) = v + 6*v**2 + 11 - 4*v**2 - 10. Calculate the remainder when g(3) is divided by 12. 10 Let l be 1 + 3 + (-1 - -2). Let f be 1/l - 96/(-20). Let z = f - 1. What is the remainder when z is divided by 2? 0 Let m = -5 - 8. Let c = m - -25. Let w = 13 + -6. What is the remainder when c is divided by w? 5 Let c(z) = -36*z**3 + 5*z**2 + 3*z + 3. Let f(b) = -54*b**3 + 8*b**2 + 5*b + 5. Let j(a) = 8*c(a) - 5*f(a). What is the remainder when 53 is divided by j(-1)? 17 Suppose 0 = 3*t - 4*h - 0*h - 126, -2*t = -5*h - 77. Calculate the remainder when t is divided by (1/(4/96))/2. 10 Suppose 6 = -9*q + 10*q. What is the remainder when 21 is divided by q? 3 Let v(x) = -x**2 + 6*x - 3. Let f be v(4). Let d = 11 - f. Calculate the remainder when d is divided by 4. 2 Let j(w) = 10*w - 21. What is the remainder when j(10) is divided by 20? 19 Let x = 37 - 22. Calculate the remainder when x is divided by (-5 - 7)/((-6)/4). 7 Suppose 6 = -z + 4*z. What is the remainder when 7 is divided by z? 1 Let l(d) = 6*d**2 + 3*d - 1. What is the remainder when l(-4) is divided by 21? 20 Calculate the remainder when 56 is divided by (38/(-10))/(1/(-5)). 18 Let k = -13 - -25. Suppose -3*x = b - 10, 5*x = x + b + 11. Suppose y - 88 = -x*y. What is the remainder when y is divided by k? 10 Suppose 4*v = -4*f + 20, -f - 10 = -2*v - 4*f. Calculate the remainder when v is divided by 3. 2 Let v(z) = 3*z - 5. What is the remainder when 6 is divided by v(3)? 2 Let c(x) = -x**3 + 13*x**2 + 3*x - 7. Suppose 0 = 4*v - 0*j + 2*j - 52, -v + 13 = -2*j. Calculate the remainder when c(v) is divided by 17. 15 Suppose -2*c - 46 = -120. Calculate the remainder when 109 is divided by c. 35 Let p(r) = -3*r - 5 + 3*r - r - 2. Let a be p(-7). Let q = a - -3. What is the remainder when 6 is divided by q? 0 Suppose 3*l + 3 - 9 = 0. Suppose -l*j = -0 + 2. Let x = 3 + j. Calculate the remainder when x is divided by 1
{ "pile_set_name": "DM Mathematics" }
r**2 - 82*r - 14. Let n(l) = l**2 + 29*l + 5. Let a(v) = 17*n(v) + 6*w(v). Let p(q) = 13*q**3 + 6*q**2 - 5*q - 5. Determine 5*a(c) + p(c). 13*c**3 + c**2 Let k(t) = -5*t**2 + t - 2. Let v(w) = 1 - 4 + 61*w - 10*w**2 - 83*w + 23*w. Give -5*k(h) + 3*v(h). -5*h**2 - 2*h + 1 Let v(m) = 9*m**2 + 2*m. Let h(d) be the second derivative of d**4/12 - d**3/6 + 7*d - 17. Give 2*h(y) + v(y). 11*y**2 Let w(f) = 15*f + 761. Let i(j) = 8*j + 388. Determine -11*i(t) + 6*w(t). 2*t + 298 Let s(h) = 2*h**2 - 7*h + 1. Let n(l) = 21*l**2 - 6*l - 3. Let v(g) = -5*g**2 + 1. Let q(a) = n(a) + 4*v(a). Determine 5*q(z) - 4*s(z). -3*z**2 - 2*z + 1 Let p(v) = 450*v + 1386. Let c(a) = -2*a - 22. Give -126*c(t) - 2*p(t). -648*t Let j(k) = -1023*k. Let b(i) = -11*i. Let p be (-594)/12*204/(-18). What is p*b(l) - 6*j(l)? -33*l Let x be 37395/6*(-1)/(15/(-12)). Let t(l) = x - l - 2*l - 4979. Let a(w) = 7*w - 15. Calculate -2*a(k) - 5*t(k). k - 5 Let n(x) = -24*x**2 - 49*x - 21. Let p(s) = -13*s**2 - 28*s - 11. Calculate -5*n(f) + 9*p(f). 3*f**2 - 7*f + 6 Let v(d) = 9*d**3 - 2*d**2 - 2*d + 2. Let j(k) be the second derivative of 9/2*k**2 + 21*k + 9/5*k**5 + 0 - 3/2*k**3 - 3/4*k**4. Determine -2*j(l) + 9*v(l). 9*l**3 Let n(t) = 5*t**3 + 143*t**2 - 59*t + 62. Let h(u) = u**3 + 36*u**2 - 15*u + 14. Give -9*h(b) + 2*n(b). b**3 - 38*b**2 + 17*b - 2 Let n be (-4 - 88/(-66))*-2*9/12. Let k(b) = 40*b**2 - 3*b - 4. Let g(c) = -13*c**2 + c + 1. Give n*k(j) + 14*g(j). -22*j**2 + 2*j - 2 Let j(y) = -7*y**3 + 10*y**2 - 124*y - 6. Let b(c) = 8*c**3 - 12*c**2 + 125*c + 7. Calculate 5*b(k) + 6*j(k). -2*k**3 - 119*k - 1 Let a(l) be the first derivative of -4*l**2 - 3*l - 2. Let r(d) = -9*d - 4. Let y = 174 - 290. Let g = y - -109. Determine g*a(i) + 6*r(i). 2*i - 3 Let f(g) = -2. Let o(z) = -z + 30. Calculate 4*f(m) - 2*o(m). 2*m - 68 Let h(r) = -2*r**2 - 6*r + 3. Suppose -3*d + 6 = -6*d. Let u be (d/4)/(1/12). Let a(j) = -4*j**2 - 13*j + 6. Let k = -6031 + 6044. Determine k*h(o) + u*a(o). -2*o**2 + 3 Let r(t) = -23*t - 80. Let u(z) = 20*z + 75. Calculate -5*r(s) - 6*u(s). -5*s - 50 Let i(g) = -g - 1. Let c(z) = -4*z - 4. Suppose 0 = 3*b - 4*x + 3*x + 13, 0 = b - x + 1. Let f be (-15)/1 + (92 - (15 - -60)). Give b*i(u) + f*c(u). -2*u - 2 Suppose -16*h + 280 = 40*h. Let r(n) = 5*n**2 - 5*n + 4. Let c(a) = 3*a**2 - 3*a + 3. Give h*r(o) - 7*c(o). 4*o**2 - 4*o - 1 Let b be 2/(-3) - (-14)/3. Let q(j) be the third derivative of 13*j**4/24 + 11*j**3/6 - 98*j**2 - 432*j - 2. Let f(y) = -y - 1. Calculate b*q(g) + 44*f(g). 8*g Let i(c) = 3*c**3 - 4*c**2. Let s be (2/(-4))/((-16 + 6)/10). Let k(a) be the first derivative of -a**3 + 0*a + 0*a**2 - 3 + s*a**4. Determine 3*i(f) - 4*k(f). f**3 Let a(c) = 10 - 5 - 4 + c**2 + c. Let l(h) = 36. Let r(x) = x - 12. Let s(m) = -l(m) - 3*r(m). Determine -a(n) - s(n). -n**2 + 2*n - 1 Let i be 2/16 + 762/48. Suppose -4*q + 8*q = i. Suppose 2*c - 1 = q*c - 3*y, -2*y - 2 = 0. Let j(z) = -4*z - 1. Let u(f) = 5*f + 2. Give c*u(x) - 3*j(x). 2*x - 1 Let f(c) = 40*c**2 - 3*c + 15. Let q(g) = 39*g**2 - 2*g + 12. Give 2*f(z) - 3*q(z). -37*z**2 - 6 Let o(b) = b + 3. Let d = -1 - -8. Let k(u) be the third derivative of -u**4/12 - 5*u**3/6 - 74*u**2 - 8. What is d*o(g) + 4*k(g)? -g + 1 Let v(w) = 9 - 3 + 6*w + 0 + 12*w + w. Let u(d) = -16*d - 6. Let c(x) = -4*u(x) - 3*v(x). Let f(y) = -2*y - 1 - 3*y + 4*y. Determine -c(l) - 5*f(l). -2*l - 1 Let w(v) = -v + 22. Let q(z) = -311*z - 46. What is q(b) + 2*w(b)? -313*b - 2 Let q(t) = -t. Let p(m) = 4*m - 1. Suppose 36 = 166*v - 148*v. What is v*p(k) + 9*q(k)? -k - 2 Let g(z) be the first derivative of -9*z**3 - 5*z**2/2 - 5*z + 2128. Let p(v) = 54*v**2 + 9*v + 9. Calculate -9*g(o) - 5*p(o). -27*o**2 Let n = 3648 + -3649. Let p(c) = -c**2 - c. Let i(d) = -1. Determine n*p(y) - 2*i(y). y**2 + y + 2 Let m(x) = 147*x + 100. Let j(v) = 148*v + 83. What is -6*j(g) + 5*m(g)? -153*g + 2 Let u be 279/54 - 2/12. Let s(f) = 3*f**3 + 10*f**2 - 7*f - 10. Let r(x) = -2*x**3 - 8*x**2 + 5*x + 26*x**2 - 25*x**2 + 7. What is u*s(o) + 7*r(o)? o**3 + o**2 - 1 Let l(i) = 22*i**3 - 11*i**2 + 5*i + 8. Let p(v) = -3 + 47813*v**3 - 2*v + 47815*v**3 - 95635*v**3 + 4*v**2. Determine 4*l(z) + 11*p(z). 11*z**3 - 2*z - 1 Let j(g) = 2501*g**3 - 122*g**2 + 61*g + 61. Let w(x) = -125*x**3 + 6*x**2 - 3*x - 3. What is 3*j(c) + 61*w(c)? -122*c**3 Let z(f) = -1540*f - 191. Let w(n) = -513*n - 55. Give -7*w(o) + 2*z(o). 511*o + 3 Let a(g) = -5*g**3 + 2*g**2 + 5*g + 2. Let c(b) = 10*b**3 - 5*b**2 - 10*b - 5. Let x(t) = 38*t + 2772. Let y be x(-73). Give y*c(n) - 5*a(n). 5*n**3 - 5*n Let x(r) = 1631*r**3 - 4*r**2 - 8*r - 4. Let d(v) = v**3 + v**2 + 2*v + 1. Determine -4*d(i) - x(i). -1635*i**3 Let g(x) = 629*x - 24. Let b(a) = -252*a + 12. Determine 12*b(v) + 5*g(v). 121*v + 24 Let l(x) = 225*x**2 + 5*x + 12. Let t(z) = 449*z**2 + 12*z + 30. Determine 10*l(b) - 4*t(b). 454*b**2 + 2*b Let b(t) = -6. Let o(i) = -7 - 8*i - 26*i + 48*i - 13*i. Give -6*b(z) + 5*o(z). 5*z + 1 Let z(k) = 344*k**3 + 6*k**2 + 12*k - 28. Let f(n) = -691*n**3 - 13*n**2 - 26*n + 59. What is -6*f(b) - 13*z(b)? -326*b**3 + 10 Let k(u) = 43*u**2 + 3*u + 5. Let g(s) = 2*s + 1. Determine 10*g(c) - 2*k(c). -86*c**2 + 14*c Let v = 4059 + -4058. Let q(k) = -k**2 + k - 1. Let s(u) = 8*u**2 + u - 3. Calculate v*s(j) - 2*q(j). 10*j**2 - j - 1 Let v(s) = -5*s - 987. Let a(j) = j + 198. Calculate -11*a(p) - 2*v(p). -p - 204 Let v(r) = -r**3 - 7*r**2 - 65*r. Let x(z) = -z**3 - 5*z**2 - 66*z. Calculate 6*v(y) - 5*x(y). -y**3 - 17*y**2 - 60*y Let v = -4 - -14. Let h(j) = -j**3 + 14*j**2 - 40*j - 2. Let g be h(v). Let q(l) = l. Let y(p) = -3*p - 3. What is g*y(r) - 4*q(r)? 2*r + 6 Let l(o) = 37*o**3 - 3197*o**2 + 9*o + 45. Let n(t) = -4*t**3 - t - 5. Determine l(j) + 9*n(j). j**3 - 3197*j**2 Let r(h) = 4*h**2 - 2*h - 7. Suppose -58*j - 13 = -62*j - 3*t, -t + 2 = j. Let f(q) = -5*q**2 + 3*q + 8. Determine j*r(a) + 6*f(a). -2*a**2 + 4*a - 1 Let v(r) = 7*r**3 - 5*r**2 + 7*r + 5. Let y(o) = -10*o**3 + 7*o**2 - 10*o - 7. Let p be 710/100 + (-7)/70. Give p*v(h) + 5*y(h). -h**3 - h Let c(t) = -2102 + 1066 + 34*t + 1038. Let i(z) = z + 1. Give -c(d) + 2*i(d). -32*d Let b(x) = -1131*x**2 + x - 979. Let k(r) = 357*r**2 + 326. Give 6*b(z) + 19*k(z). -3*z**2 + 6*z + 320 Let h be ((-960)/864)/((-10)/(-45)). Let j(v) be the second derivative of v**3/6 + 7*v**2/2 - v. Let y(a) = a + 4. Give h*y(o) + 3*j(o). -2*o + 1 Let n(m) = 2*m**2 + 2*m - 2. Let x(v) = 2358*v**2 - 23*v + 21. Calculate 12*n(i) + x(i). 2382*i**2 + i - 3 Let p(q) = 8*q + 21. Let c(v) = 2*v + 5. Suppose o - 5*s = 28, 4*o - s = 3*o + 4. What is o*p(j) + 9*c(j)? 2*j + 3 Let v(c) = -3*c + 13. Let r(n) = n - 3. Let g = 5981 - 5972. Give g*r(q) + 2*v(q). 3*q - 1 Let z(y) = y - 6495. Let o(f) = 4*f - 25983. What is -2*o(j) + 9*z(j)? j - 6489 Let f(t) be the third derivative of 13*t**5/12 + 13*t**3/6 + 2856*t**2. Let m(a) = -26*a**2 - 5. Calculate -5*f(x) - 13*m(x). 13*x**2 Let q(h) = -46*h**2 - 34*h - 72. Let n(z) = 55*z**2 + 34*z + 73. What is 5*n(a) + 6*q(a)? -a**2 - 34*a - 67 Let d(m) = 12*m**2 + 2*m + 111. Let g(q) = 5*q**2 + q + 48. Let p(j) = -3*d(j) + 7*g(j). Let l(k) = k**2 - 1. What is 3*l(f) + p(f)? 2*f**2 + f Suppose 0 = 3*x + g - 2, 261*g + 41 = 2*x + 256*g. Let m(o) be the third derivative of -o**4/6 + o**3/2 + 2*o**2. Let b(s) = -s. What is x*b(n) - m(n)? n - 3 Let j(z) = 7*z**2 + 5. Let o be 2 + -3 + 4 + 0/(-3). Suppose 4*p = -11*k + 9*k + 42, 2*k = -o*p + 34. Let v(y) = -11*y**2 - 8. Calculate p*j(d) + 5*v(d). d**2 Let f(v) = v - 10. Let x(p) be the first derivative of -2*p**2 + 41*p + 9224. Give -22*f(y) - 6*x(y). 2*y - 26 Let c(t) = 6*t - 2. Let g(f) = -62*f + 19. Let k(y) = -125*y + 37. Let i(x) = 5*g(x) - 2*k(x). Suppose 345*j + 2982 = 4362. Give j*i(u) + 42*c(u). 12*u Let p(y) be the third derivative of -y**5/6 + y**4/8 + y**3/2 - 146*y**2. Let k(x) = 189*x**2 - 56*x - 56. Let a = 300 + -356. Determine a*p(r) - 3*k(r). -7*r**2 Let x(u) = 5*u + 3. Let v(l) = l**3 + 11*l**2 - 46*l + 24. Let s be v(-14). Suppose 0 = -72*m + s*m - 32. Let p(h) = h - 1. Calculate m*p(d) - x(d). -d - 7 Let j(f) = f**2. Let m be 56*16/(-128) - (-7 - -1). Let z(v) = 2*v**3 - 5*v**2 - v + 2. Calculate m*z(s) - 5*j(s). -2*s**3 + s - 2 Let h(v) be the first derivative of 77/3
{ "pile_set_name": "DM Mathematics" }
and v. 70 Let z = -4 + 4. Suppose z = 3*y - 3*c + 9, y - 2*y - 4*c + 22 = 0. Suppose -5*x - y = -12. What is the least common multiple of x and 5? 10 Let z(q) = -17*q - 1. Calculate the least common multiple of 10/4*(-432)/(-120) and z(-1). 144 Find the common denominator of 6/43 and 18650/(-3600) - (1 + (-10)/16). 387 Suppose 6*n - 24 = -0. What is the common denominator of (n - (-385)/(-100))*22 and -19/40? 40 Let o = -239665/37188 + 1/4132. What is the common denominator of o and -25/357? 1071 Let c = -1887 - -1897. Calculate the smallest common multiple of 64 and c. 320 Let z = 644 + -472. What is the lowest common multiple of z and 24? 1032 Let n(v) = 2*v**2 - 4*v + 3*v - v - 67. What is the smallest common multiple of n(8) and 25? 225 Let y(z) = 4*z - 35 + 40 - 3*z. Let u be y(0). Suppose 0 = u*h - 5*i + 2*i - 65, 4*h - i = 45. Calculate the least common multiple of h and 16. 80 Let m(t) = t**2 + 1. Let y(z) = -4*z**2 + z - 2. Let b(v) = -6*m(v) - 2*y(v). Suppose 3 = -5*q - 7. What is the smallest common multiple of 12 and b(q)? 60 Suppose 2487 + 283 = 2*h. Suppose -h = 5*s - 505. Calculate the common denominator of -1/22 and 3/(-1) - 759/s. 176 Suppose -2*o - 20 = 12. Let a = 30 + o. Calculate the lowest common multiple of a and 20. 140 Let w = -31827 - -158501/5. Let u = -1894/15 - w. What is the common denominator of u and 139/12? 60 Suppose 5*d + 3*o - 363 = 0, 5*d = 5*o + 64 + 291. Calculate the smallest common multiple of d and 80. 720 Let v(y) = y**2 - 8*y - 3. Let n be v(8). Calculate the least common multiple of (n/27*3)/((-1)/36) and 36. 36 What is the lowest common multiple of 133 and 13/((-351)/6) - (-2146)/18? 2261 Let y = 65901/5 + -13272. Let q = -398/5 - y. What is the common denominator of q and -55/18? 90 Let l = -1103349/5 - -219825. Let w = -848 - l. Calculate the common denominator of w and -133/6. 30 Suppose 0*j - j - 5 = -3*h, -j = 2. Let m be h/4 - 1374/(-4). Let p = 350 - m. Calculate the common denominator of p and -1/2. 4 Let s be ((-1)/3)/(1/(-24)). Suppose -o - o = -s. Suppose 4*c + 22 = 2*z + 3*z, o*z + 3*c + 1 = 0. What is the lowest common multiple of z and 8? 8 Find the common denominator of 29/40 and (-207)/56*130/(-3315). 4760 Let h = 200 - 173. What is the least common multiple of 24 and h? 216 Let t be -3 + (-12)/((-3)/(-1)). Let m(g) = g**2 + 9*g + 15. What is the smallest common multiple of 1 and m(t)? 1 Suppose -34*v + 6408 = -16*v. Calculate the lowest common multiple of 2 and v. 356 What is the lowest common multiple of 134 and -30*-1*7/21? 670 Let n be -2 + (0 - 0) + 14013/(-570). Let g = -450/19 - n. Find the common denominator of -3/20 and g. 20 What is the common denominator of ((10/(-3))/((-24)/45))/6 and 43/42? 168 Let f = 19 - 8. Let r = f + -7. Suppose -3 = -3*a, 4*n - r*a - 8 - 12 = 0. What is the least common multiple of 32 and n? 96 Let l = -45 + 28. Let r(z) = -z**3 - 16*z**2 + 19*z + 41. What is the lowest common multiple of 12 and r(l)? 84 Let s = -405 - -1441. Suppose -391 = o - s. Let r = 3757/6 - o. What is the common denominator of r and 145/12? 12 Suppose -c - 4*c + w + 495 = 0, 0 = 2*c - 2*w - 198. Calculate the lowest common multiple of c and 77. 693 Let z = -28 + 39. Let v = 16 + -11. Suppose -v*p + 51 = z. Calculate the smallest common multiple of 4 and p. 8 Let q(u) = -u - 21. Let s be q(-13). Let w(g) = -g**3 - 7*g**2 + 8*g + 18. Calculate the least common multiple of (13 - -2) + 0 - -1 and w(s). 144 Let y be 6/1 + (-250216)/41702. Let m = 1/26019754488 - 3119332732327781/2712689504146440. Let k = m + y. Calculate the common denominator of -47/8 and k. 40 Let h = -56159/11640 + 45/776. Calculate the common denominator of h and -7/177. 1770 Suppose -10*z - 5*z + 1170 = 0. Let m = -74 + z. What is the lowest common multiple of 5 and m? 20 Suppose 30*f - 1008 = 22*f. Calculate the least common multiple of 81 and f. 1134 Suppose 5*f - 25 = 4*g - 2*g, -3*f - 16 = 5*g. Suppose 0 = -v - f*v + 24. What is the smallest common multiple of (4/3)/(6/9) and v? 6 Suppose 2*b - 130 = -2*d, d - 2*b - 35 - 27 = 0. What is the smallest common multiple of d and 88? 704 Let x = -17 + 37. Let z = -37 + 4. Let b = z - -41. What is the least common multiple of x and b? 40 Suppose 0 = 4*o, 0 = -5*h - 2*o + 604 + 71. What is the least common multiple of h and 18? 270 Calculate the common denominator of -31/66 and -5 + 153/10 + -3. 330 Let i(k) = -2684*k + 1. Let c be i(-1). Suppose c = -3*s - 807. Let f = 10489/9 + s. What is the common denominator of f and 29/7? 63 Let f(h) = 1440*h**2 + 2*h. Let y be f(2). Let l = -409234/71 + y. Let d = l - -6015/142. Calculate the common denominator of 95/22 and d. 22 Let t = -790/3 + 265. Calculate the common denominator of 71/14 and t. 42 Suppose 0 = -4*n + 3*x - 31, 0*n - 44 = 5*n - 2*x. Let i be 6828/480 + 2/n. Let k = i - 102/5. What is the common denominator of k and -83/22? 88 Let i = -19938743/114 + 174900. Find the common denominator of i and 35/27. 1026 Let p(v) = v**2 + 9*v + 4. Let r be p(-9). Calculate the common denominator of -69/2 and ((-25)/(-20))/(r/26). 8 Let p(u) = -u**3 - 7*u**2 - 6*u - 3. Let r be p(-6). Find the common denominator of 3 - 1140/(-16)*r/35 and 23/20. 140 Let x = 72/7 + -699/70. Suppose h = -2*f + 4, 0 = 5*h - 5*f + 2*f + 32. What is the common denominator of ((-3)/h)/((-18)/(-33)) and x? 40 Suppose 2*u = 2*g + 516, -g - 2*g - 4*u - 746 = 0. What is the common denominator of (-24)/33*(-1 + -1) and -4 + (-4 - g/12)? 66 Let t be (-18)/24*(16 + 0). Let k be (-6)/t - (-4507)/(-3762). Let u = k + -5/171. Find the common denominator of u and 50/7. 77 Let z = 755 + -15143/20. Calculate the common denominator of (2/8)/((-16)/122) and z. 160 Let r = -12617547/227 - -55584. Find the common denominator of 23/3 and r. 681 Let v = 60 - -66. Let w be (1 - 3) + (2 - v). Find the common denominator of -76/9 and (-916)/w + (-4)/(-14). 9 Let p(h) = h + 2. Let w be p(4). Let k(t) = 2*t**3 - 4*t - 7*t**2 - 3*t**3 - 6*t - w. What is the least common multiple of k(-6) and 12? 36 Suppose 0*y = 3*y - 9. Suppose 11 = 2*l - y. What is the least common multiple of l and 390/42 + 4/(-14)? 63 Let v(k) = k**2 + 10*k - 11. Let w be v(-11). Let n(q) = -q**3 - 4*q**2 + q. Let b be n(-4). Let s = w - b. What is the least common multiple of s and 4? 4 Let n(r) = -2*r**2 - 24*r - 1. Let c be n(-12). Find the common denominator of 454/40 - c/4 and -31/16. 80 Suppose 320 = 74*w - 69*w. Calculate the smallest common multiple of w and 28. 448 Suppose -3*p = -14 - 13. What is the common denominator of (-1161)/(-264) + p/24 and 29/24? 264 Let x = 10886318/117 - 93046. Find the common denominator of x and -56/27. 351 Let u = -264 + 269. Calculate the least common multiple of 55 and u. 55 Let l = -130 + 140. Calculate the least common multiple of l and 18. 90 Let q(m) = -m**3 + 9*m**2 - 7*m - 6. Let h be q(8). Suppose -4*p + 24 = 4*v, h*v + 37 - 1 = 4*p. Let s = 5 - -6. Calculate the least common multiple of p and s. 88 Suppose -4*r = -5*z - 123, 5*z + 14 + 28 = r. Let j = -21 + r. Find the common denominator of -3/16 and j/27 - (-862)/(-288). 48 Let d(w) = 4*w**2 + 5*w + 0*w - 3*w**2. What is the smallest common multiple of (-2)/(-2)*-1*-5 and d(-6)? 30 Let w = -135/2 - -2316/35. What is the common denominator of -11/6 and w? 210 Let i(j) be the first derivative of 78*j**2 - 7*j + 13. Let z be i(7). Calculate the common denominator of 32/11 and 2/10 - z/(-75). 33 Let f = 2171 + -2061. What is the lowest common multiple of 60 and f? 660 Let x(p) = -17*p**2 + 11 + 21*p**2 + 9*p**2 - 7*p + 18*p**2. Let n be x(-12). Let g = n - 72881/16. Find the common denominator of g and -111/14. 112 Let q = 169/15 - 5743/480. What is the common denominator of -145/6 and q? 96 Let h = -842 - -873. Suppose -z - z + 8 = 0. Find the common denominator of h and (-388)/(-8)*(-2)/z. 4 Suppose -10 = -10*v + 11*v. What is the common denominator of 284/(-40)*v/(-24) and 2 - 3/24*-51? 24 Let h be (-5 - -13) + (-3 - 1). Suppose 0*x - x - 5*n = 20, -h*x + 15 = n. Calculate the lowest common multiple of (-3)/(-3)*(x + 0) and 4. 20 Let c be 5 + (-3 - -1) + 2. Suppose f = c*f - 8. Let m = -12 - -16. What is the smallest common multiple of m and f? 4 Suppose 9*q - 225 = -234. Suppose i + 21 =
{ "pile_set_name": "DM Mathematics" }
ctor of n and 8. 4 Let u = 4388 + -4267. What is the highest common divisor of 264 and u? 11 Suppose 0 = l + 3*o + 5, -l = 2*o - 0*o + 2. Suppose -330 = -l*m + m. Let i = -110 + 120. Calculate the greatest common divisor of m and i. 10 Let i = 4 - -17. Suppose 19*p - 20*p = -2*b - 15, 0 = 4*b + 24. What is the highest common factor of i and p? 3 Suppose -20 = -3*a - a. Let m(s) = s**2 - 19*s + 20. Let t be (-407)/(-22) + (-1)/2. Let k be m(t). Calculate the highest common divisor of k and a. 1 Suppose 2*w - 4*n = -n, -4*w = -5*n. Suppose w = 11*z - 61 + 6. Let d be (-48)/(-15) + (-1)/z. What is the highest common factor of d and 69? 3 Let c(p) = -13*p - 183. Let j be c(-31). What is the greatest common factor of 1045 and j? 55 Let z(y) = y**2 - 16*y - 18. Let h be z(17). Let i be (-4)/h - ((-6 - -3) + -83). Calculate the highest common divisor of i and 36. 18 Let w be ((8/(-4))/2)/((-2)/6). Suppose -6 = -w*o + 6*o. Let k be (1089/2)/3*o/(-3). What is the greatest common factor of 11 and k? 11 Let a = -5377 - -11947. Calculate the greatest common divisor of 54 and a. 18 Let m be -74*(-1016)/32 + 1/2*-1. What is the highest common divisor of m and 810? 81 Suppose -4*n - 300 = -2*a, -5*a - 7*n + 10*n = -708. What is the greatest common factor of a and 46? 46 Suppose 103 = -42*m - 107. Let r(w) = 5*w**2 + 11*w - 57. Let g be r(m). What is the highest common factor of g and 312? 13 Suppose -o = 5*f + 17, 4*f + 1 = 3*o - 5. Let c be (16 + -17)/(o/96). Suppose 30 = -12*i + 17*i. What is the greatest common factor of i and c? 6 Let l be (-21)/(-6)*(-7 - -5). Let g = l - -8. Suppose -3*m + 41 = -g. Calculate the highest common divisor of m and 35. 7 Let d be ((-6934)/(-18) - 24/108)*3. What is the highest common factor of 7 and d? 7 Let x be (-1759)/(-22) - (-50)/1100. Let c be 718/6 + (-1)/(-3). Calculate the greatest common factor of x and c. 40 Suppose z = -d - 4*z, 0 = 3*z - 6. Let c be (-5)/2*8/d. Suppose -r - 5*g - 18 = 0, c*r + 14 = r - 4*g. Calculate the highest common divisor of 12 and r. 2 Suppose -17*t - 14 = -19*t + 22. What is the greatest common divisor of t and 117? 9 Let d = 111 - 103. Suppose -w = 2*y - 13, -3*y = -1 - d. Calculate the greatest common factor of w and 3. 1 Let b(t) = t**2 - t - 30. Suppose 0 = 2*w + 5*y + 48, 10 = -4*y - 6. Let u be b(w). What is the highest common factor of 60 and u? 60 Let c = -34 - -37. Let i = 144 + -129. What is the highest common factor of c and i? 3 Suppose -23*t - 536 - 220 = -27*t. Calculate the greatest common divisor of 273 and t. 21 Suppose -201 = -5*w - 2*q, -18 = -w + 2*q + 15. Let k = w + -41. Let x be (k + 1)/((-11)/759). Calculate the highest common divisor of 46 and x. 23 Suppose 828*u + 30105 = 873*u. What is the highest common factor of 9 and u? 3 Suppose 3*l + 54 = 4*m + l, -m + 4*l = -3. Let h be ((-80)/m)/((-2)/15). What is the greatest common factor of h and 56? 8 Let u = -192708 - -192764. Let c be 0 - 0 - (-44 - 0). Calculate the greatest common divisor of c and u. 4 Suppose -3*i + 125*i = 3538. What is the greatest common factor of i and 3770? 29 Suppose 1113 = 9*x - 201. Suppose 5*i - i = 1460. Calculate the highest common factor of i and x. 73 Let g = -279 - -695. Suppose 35*b - g = 9*b. Calculate the highest common divisor of b and 480. 16 Let w(k) be the second derivative of 11*k**4/12 + k**3/3 + 7*k**2/2 + 25*k + 1. Let n be w(-3). Calculate the greatest common factor of 20 and n. 20 Let i = 5 + -2. Suppose u + 11 = -z + 5*z, i*u - 35 = -5*z. Suppose 7*q - 83 = 1. What is the highest common factor of q and z? 4 Let f be 308/22*(-278)/(-7). What is the highest common factor of f and 16? 4 Suppose 306*m - 12*m - 95504 = 70606. Calculate the highest common divisor of 226 and m. 113 Let o = -60 + 60. Let t be (-1 + 7)*(2 + o). What is the highest common divisor of t and 228? 12 Suppose b - 4*b = 0. Suppose x - 18 = 2*z, 4*z - 2*z + 6 = b. Let u be x/28*7 + 272 + 1. What is the greatest common divisor of 46 and u? 46 Let w(c) = 750*c + 606. Let p be w(43). Calculate the highest common factor of 296 and p. 296 Let m = -18754 - -18887. What is the highest common factor of 5149 and m? 19 Let c(f) = 12*f + 4. Let l be c(3). Let w be 2/1 + 2400/(-5). Let h be 1/(3 - w/(-160)). Calculate the greatest common divisor of l and h. 40 Let q be 3/6*8 + (-11 - -380). Let w = q + -193. What is the greatest common factor of w and 72? 36 Let l be 1156/(-10)*(-535)/214. Let c = -314 - -212. Let u = c + l. Calculate the greatest common factor of u and 17. 17 Let h(v) be the first derivative of -v**3 - 41*v**2/2 + 2*v + 7. Let o be h(-13). What is the greatest common divisor of 98 and o? 14 Let y(c) = 18*c - 62. Let f = -190 - -194. Let v be y(f). Let p(z) = -6*z. Let i be p(-5). Calculate the highest common factor of i and v. 10 Let z(s) = -s - 39. Let o(b) = -13*b - 15*b + 27*b. Let c(t) = -2*o(t) - z(t). Let a be c(-9). Calculate the highest common divisor of a and 30. 6 Let n = 112 - 109. Suppose n*w + 123 = 5*p + 2*w, 0 = -p - w + 21. Suppose -5*o + 10*o - 40 = 0. What is the greatest common divisor of p and o? 8 Let u be 3 + (-10 - -56) - (1 + 2 + -2). What is the highest common divisor of 10 and u? 2 Let x = -529 + 761. Let p = -650 - -737. Calculate the greatest common divisor of x and p. 29 Suppose 5*n - 651 = -86. Let s = 188 - n. Let p = -5 + 20. What is the greatest common factor of p and s? 15 Let k = 530 - 752. Let t = k + 274. Calculate the highest common divisor of t and 234. 26 Let j(r) = 1522*r - 5157. Let a be j(5). Calculate the greatest common divisor of 77 and a. 11 Suppose -7*v - 87 + 122 = 0. Suppose 5*f + v*m = 3 + 332, -159 = -2*f + 3*m. What is the highest common divisor of f and 27? 9 Let g = 1948 - 1933. Suppose -105 = -2*s - s. Suppose 3*w - s = -4*z + 33, 96 = 5*z + w. What is the highest common factor of g and z? 5 Suppose 0 = 18*j + 37*j - 28984 - 35751. Calculate the greatest common divisor of j and 33. 11 Let v(z) = 457*z - 5. Suppose -x = -4*t + 2, 4*x - 3*x - 3*t = -1. Let q be v(x). Calculate the greatest common factor of q and 101. 101 Let o = -17376 - -18531. What is the greatest common factor of 1694 and o? 77 Suppose 10*k - 9*k + 252 = l, 3*k + 246 = l. Let j = l - 130. What is the greatest common divisor of j and 10? 5 Let s be (-56)/((3 + -2)*-1). Let h be 94 + -77 + 3*-3. What is the highest common factor of h and s? 8 Suppose -30*q + 5*s + 385 = -25*q, 3*q - 5*s = 235. Let d(y) = -2*y**3 - y**2 - y + 6. Let i be d(0). Calculate the greatest common factor of i and q. 3 Suppose 57 = -2*v + 179. Let z = 9 + v. What is the greatest common factor of 20 and z? 10 Let l be 17454 + ((-4)/(-12))/(45/810). What is the greatest common divisor of 4 and l? 4 Suppose 0 = -2*n + 3*m + 567, 12*n - 5*m + 1380 = 17*n. Suppose -3*y - 252 = -17*y. Calculate the highest common factor of n and y. 9 Let o(b) = -b**2 - 53*b - 171. Let r be o(-47). What is the greatest common divisor of 24 and r? 3 Suppose u + 12 - 55 = 3*s, 0 = -2*u + 4*s + 84. Suppose -2*n = 2*x - 88, 5*x = 6*x + 2*n - 40. Let q = x - u. What is the greatest common factor of q and 64? 8 Suppose -360 = 17264*m - 17276*m. What is the greatest common divisor of m and 490? 10 Suppose -13*d + 36 + 68 = 0. Suppose 4*l = -0*k + 2*k + 392, 5*l + 2*k - 490 = 0. Calculate the greatest common factor of d and l. 2 Let s = 2580 + -2355. What is the highest common divisor of 475 and s? 25 Suppose -n - 18 = -2*u, -8*u + 154 = 4*n + 50. Calculate the highest common factor of u and 5423. 11 Suppose 0 = 8*x - 144 + 40. Suppose -2*s - 2*s + 8 = 0. Suppose -l + 2*l + o - x = 0, -5*o + 26 = s*l. What is the greatest common factor of 117 and l? 13 Let p(x) = x + 1. Let q be p(4). Let u be ((-666)/(-15))/2*q. Suppose -3*d - u = -4*y, -3*y + 4*d - 2*d = -82. Calculate the highest common divisor of 12 and y. 12 Suppose 579*h - 576*h + 66 = 0. Let a = 190 + h. What is the highest common factor of a and 126? 42 Suppose -i + 92 = -52. Let l(s) = -3*s + 7. Let h be l(-9). Suppose 5*u + 64 = 3*w, 4*u = -2*w + 3*u + h. What is the highest common factor of i and w? 18 Let a be (-2 - (-1212)/(-10))*5/(-6)*3. What is the highest common factor of 1364 and a? 44 Let k = 17257 + -17215. Suppose -h - 2 + 9 = 0. Calculate the greatest comm
{ "pile_set_name": "DM Mathematics" }
3, 3*f + 2*h = 302. Let s = -100 + f. Solve s*d + 3*d = 0 for d. 0 Let h(y) = -7*y**2 - 7*y + 4. Let a be h(-4). Let v be ((-3)/(-2))/((-12)/a). Solve 2*d + v = 7*d for d. 2 Let d = -26 - -28. Let f = 4 + d. Suppose s + s = f. Solve -2 = -u + s for u. 5 Let s = 31 + 53. Suppose 0 = 5*j + 4*w + 65 - 170, -2*w = 4*j - s. Let i be (-7)/(j/6) + 5. Solve 2 = -i*y - 10 for y. -4 Let x = 632 + -410. Let b be 1/4 + x/8. Suppose -11*a = -29 - 26. Solve -a*g = -3 + b for g. -5 Let i = -31 - -38. Let u = i + -4. Let r be u/(0 - (1 + -2)). Solve y + 2 = r*y for y. 1 Let g(l) = -l - 11. Suppose -2*t + h - 28 = 0, 26 = -0*t - 2*t + 2*h. Let d be g(t). Solve -d*r + 3 = -1 for r. 1 Suppose 4*g + 0*g = z - 23, z + 5*g + 22 = 0. Solve -z*t + 12 = t for t. 3 Let d(f) = 4*f**2 - 48*f + 46. Let a be d(11). Let w = 2 - 1. Solve a = n - w for n. 3 Suppose 14*j = -4*t + 10*j + 64, 0 = 2*t + 5*j - 44. Solve 10*k + t = 14*k for k. 3 Suppose -5*q = -4*q - 7. Suppose 3*m = q*m - 8. Solve 0 = -5*c - 27 + m for c. -5 Let n = -2889 - -2893. Solve 0 = n*g - 2 + 22 for g. -5 Suppose -35 = -5*p - 0*p. Suppose -p*m - 22 + 57 = 0. Suppose -3*i - 6 = -18. Solve 0 = -m*l + 6 + i for l. 2 Let s(r) = 7*r**2 - 7*r - 11. Let d(a) = -3*a**2 + 4*a + 5. Let h(t) = -5*d(t) - 2*s(t). Let x = -182 - -189. Let g be h(x). Solve 3*l + g + 8 = 0 for l. -4 Suppose -6*m + 0*m - 36 = 0. Let y be (-1820)/(-175) - (m/(-5))/(-2). Solve -1 = -3*v + y for v. 4 Let o(g) = g - 15. Let k be o(19). Suppose 4*h = 4*a, 5*h + 0*h = -k*a + 18. Suppose 3*w + 7 - 1 = 5*l, 0 = 5*w - a*l - 9. Solve 2*r = 3*r + w for r. -3 Let q = 20 - 12. Let c(d) = -d + 12. Let b be c(q). Suppose 2 = x - b. Solve -3*y = -0*y - x for y. 2 Suppose -j + 4*s - 20 = 4*j, -2*s = -10. Solve j = 5*a - 6*a - 4 for a. -4 Let k be 0/(6/3 + 2). Solve k = 36*a - 33*a for a. 0 Suppose -w + 5*a + 81 = 0, 3*a - 9 = 3. Let v = w + -99. Solve -6 + v = -2*i for i. 2 Let d(c) = c**3 - 10*c**2 - 8*c - 18. Let r be d(11). Let z be 15/3 + -2 - 3. Solve -10*i + 7*i - r = z for i. -5 Let g be 1*15/(-3)*24/20. Let x(a) = -5*a - 14. Let j be x(g). Solve -8*r + 4*r = -j for r. 4 Suppose 3*r = -4*m - 10, -3*r - m - m - 2 = 0. Suppose -3 = 2*p - f - 8, 5*f + 9 = r*p. Suppose 4*o = i + 3, 4 = 5*i - p*i + o. Solve -4*l - i = -13 for l. 3 Suppose 3*g = 2*d, -4*d + 6 = -2*g - g. Suppose -d*m = -m - 5*m. Solve o - 3*o = m for o. 0 Let t = -77 - -86. Suppose x - b = -2*x + 23, 0 = 3*x + 5*b - 47. Let d be x + 2 + 0 + 0. Solve 4*g = d + t for g. 5 Let o be -14*19/(-4)*(-4)/(-7). Solve n = -42 + o for n. -4 Let n(x) = 3*x - 8. Let p be n(4). Let w be (0 - p) + 1195 + -3. Let l be ((-2)/3)/((-24)/w). Solve -5*s + l = 13 for s. 4 Suppose -5*o = -2*o + 87. Let r = 35 + o. Solve -3*s + r = -6 for s. 4 Let r be (7 - 891/(-77)) + 3/7. Solve r*o = 10*o + 18 for o. 2 Let i = -108 - -126. Solve -c - 22 = -i for c. -4 Let l be (-10)/85 - (-210)/51. Solve l = -4*v + 24 for v. 5 Suppose -5*k = 5, i + 3*k = 3*i + 123. Let u be ((-10)/(-15))/((-6)/i). Solve -5 = 3*f + u for f. -4 Let j(z) = 2 - 17*z - z**3 - 2*z**2 - 1 + 19*z. Let o be j(-3). Solve -o*y + 8 + 8 = 0 for y. 4 Let b(o) = -o**3 + o**2 + o + 4. Let k be b(0). Suppose -5*m + 19 = 3*x, -m + 16 = 4*x + m. Suppose 0 = x*p - 0*p - 9. Solve k = 7*h - p*h for h. 1 Suppose 0 = i + 4*r - 31, -3*r - 14 = -2*i + r. Suppose -3*h + 0*h = -i. Solve -h*t + 4 = -4*t for t. 4 Let d be 0 + -6 + (-4)/4. Let r be d/21 - (-19)/3. Solve a - 3*a - r = 0 for a. -3 Let j be (2 - (-1 + 0))*(-8)/6. Let s be 12/4 + j + 6. Solve s*l - 1 - 9 = 0 for l. 2 Let f be 4/(-18) + (-3270)/(-135). Let g = -19 + f. Suppose a = -4*r + 7, 3*r - 5 = -g*a + 4*a. Solve 4 = -r*y + 12 for y. 4 Suppose -6 - 18 = -2*p. Let h be (-9)/3*4/p. Let a be ((-2)/h)/(11/22). Solve n + a = -1 for n. -5 Let b(q) = -8*q. Let j be b(1). Let h(c) = c**3 + 8*c**2 - c. Let r be h(j). Let n be (r + -3)*6/15. Solve -4*t - 4 = -n*t for t. -2 Let j = -5 + 8. Suppose h - 3*h - 50 = -j*q, 2*h + 8 = 0. Let u = -14 + q. Solve -4*z + 2*z + 6 = u for z. 3 Suppose f - 3*w + 18 = 2*f, 2*f - 32 = -2*w. Suppose 9*s = 6*s + f. Solve 3*o = 8*o + s for o. -1 Suppose 4*c + o - 8 = -o, 3*c = -4*o - 4. Solve -12*n = -11*n + c for n. -4 Suppose -13 = -p + v + 8, -21 = -p - 2*v. Suppose 5*o - 2*n = 19, 0 = 2*o + o + 3*n - 24. Solve -o*k - p + 1 = 0 for k. -4 Suppose 15*o - 7*o = 160. Solve -5*y + 9*y = -o for y. -5 Let i(u) = 4*u + 25. Let b be i(-6). Let r be 10*(0 + b)*(0 - -1). Solve -5*o + 3*o - r = 0 for o. -5 Let a be 1/((-414)/(-45) - 9). Solve -4*l - a = -1 for l. -1 Let y = -2 - -5. Let a = y + 0. Let h be (-8)/(-4) + a + -2. Solve -h*i - 2*i = 10 for i. -2 Let z = 52 + -50. Let y(a) be the first derivative of -a**3/3 - a**2/2 + 2. Let s be y(-1). Solve h - z*h + 1 = s for h. 1 Let n = -17 + 15. Let g be (18/27)/(n/(-75)). Suppose 6*o = o + g, 3*o = -4*y + 23. Solve y*j + 2 = -6 for j. -4 Suppose 10 = 5*u - y, -3*y = -5*u - y + 10. Solve u*i + 3 = 3*i for i. 3 Let g(o) = -o**2 + 7*o - 5. Let s be g(3). Suppose -3*w = -t - 14, -5*w + w = t - s. Solve -1 = 4*i - w*i for i. -1 Let j(x) = x + 2. Let g be j(15). Suppose c = 3*r + g, r = -5*c + 3*r + 33. Solve -c*z + z = 16 for z. -4 Let o = 1 - 1. Suppose -w - q - 2 = -3*w, o = -2*w - 5*q + 26. Suppose 1 = -l + w. Solve -l*x - 2 = 2 for x. -2 Let y = 488 + -471. Solve 3*g + y = 11 for g. -2 Let b be ((-468)/(-130))/(6/40). Solve -23*m = -b*m - 5 for m. -5 Let n(q) = q + 6. Let w(t) = 3*t - 1. Let o be w(-1). Let a be n(o). Let z be (2/6)/(a/24). Solve 2 + 6 = z*c for c. 2 Let g(i) be the third derivative of i**6/120 + i**5/6 - 5*i**4/12 + 5*i**3/2 - 9*i**2. Let l be g(-11). Solve 0 = -4*f + 12 - l for f. 2 Let u be (1 - (-5)/10)/((-5)/(-10)). Solve -u = -d - 7 for d. -4 Suppose -36 = -2*y + 6*l, 20*y = 16*y + 4*l + 72. Solve 6 - 78 = y*f for f. -4 Let s(t) = t**2 - 2*t - 1. Let k be s(-1). Let p be ((-6)/7)/(k/(-14)). Let f = p + -5. Solve o - 2 = -f for o. 1 Let r(v) = -v + 7 + 6 + 1 - 4. Let q be r(7). Suppose 1 + 11 = -q*h, s - 23 = 5*h. Solve -1 + s = -g for g. -2 Let z = -1707 + 1734. Solve -16*t + 33 = -z*t for t. -3 Let s(h) = h**2 - 3*h + 8. Let r be s(0). Let f = r + -3. Solve f*t + 4 - 14 = 0 for t. 2 Suppose -31*t + 25 = -6*t. Solve -5*f = -t + 6 for f. -1 Suppose -48 - 17 = 13*i. Let r be i/((-25)/30) + 0. Solve -t + r*t = 0 for t. 0 Let s(b) = -b**2 - 8*b - 1. Let y be s(-9). Let d = -13 - y. Let j be (-19)/d + (-9)/27. Solve -12 = 2*q - j*q for q. 3 Let c = -2373 + 2407. Solve -10*r - 6 = c for r. -4 Suppose 0 = 2*k - 4*b + 16, -21 = -2*k - 4*b + 3. Suppose 0 = t + t. Suppose t = -4*w + 6*w. Solve w = -4*m - k - 2 for m. -1 Let s be 2/5*50/5. Suppose -18 - 6 = -s*p. Let b(c) = 10*c + 32. Let g be b(-3). Solve -g*w - p = 2 for w. -4 Suppose 4*h = -32*t + 27*t + 51, -3*h + 37 = 4*t. Solve 3*j + h = 10 for j. -3 Let c(a) = a**2 + 3*a - 5. Suppose -9*n - 43 = 2. Let l be c(n). Solve 0 = -5*f + l for f. 1 Suppose 7*y - 12*y + 60 = 0. Solve 36 = 8*m + y for m. 3 Let c(n) be the second derivative of -3*n**5/10 - n**4/12 - n**3/3 - n**2 + 6*n. Let q be c(-1). Solve -q*i - 5 = -0*i for i. -1 Let z be (-45)/(-90)*0/(-2). Solve -6 + z = 3*b for b. -2 Suppose -493*a + 96 = -481*a. Solve -10*l + a*l = -8 for l. 4 Let g(p) = -5*p - 8. Let l(f) = -2*f - 3. Let r(i) = -3*g(i) + 8*l(i). Let z be r(-2). Solve 2*d = -z*d - 4 for d. -1 Let k(p) = p + 12. Let o be k(-7). Let j = -8 + 16. Solve j = -o*f - 7 for f. -3 Let m(k) = k**3 - 5*k**2 + 5*k + 2. Let j be m(4). Suppose 0 = 4*z + 20, -2*p + 2*z = -6*p + j. Solve -p*b = -b for b. 0 Let g(d) = 3*d - 24 + 16 + d. Let z be g(4). Solve n = -n + z for n. 4 Let n(p) = 2*p - 30. Let l be n(15). Let h be l/(-11)*-1*2/(-4). Solve h*s = -4*s - 12 for s. -3 Suppose -45 = -2*p - a, -2*p - 4*a - 4 = -34. Let h = 31 - p. Solve h = 3*x - 0*x for x. 2 Let l(a) = 6*a**2 + 9*a + 14. Let u be l(-2). Let x(o) = -o**2 - 5*o. Let w be x(-4). Let t = 6 + -6. Solve t = -w*b - b + u for b. 4 Let h(r) = r**3 - 3*r**2 - 2*r - 5. Let i be h(4). Suppose 0 = i*p - p. Suppose 3*s + 3*b - 27 = 0, -5*b + 243 = -5*s + 228. Solve p = -5*k - s + 28 for k. 5 Let h be (-11 + 9)*(-3 - -2). Suppose q - 2 = 0, -2*t + q + h = 2*q. Let n(p) = -p**2 + p + 3. Let g be n(t). Solve 0 = 5*w - g*w for w. 0 Let r(m) = m**2 + m + 16. Let u be r(0).
{ "pile_set_name": "DM Mathematics" }
o millimeters. 0.000996418 Convert 1274.738 years to months. 15296.856 How many meters are there in 7/2 of a kilometer? 3500 How many centimeters are there in 91409.71 meters? 9140971 What is 34/5 of a litre in millilitres? 6800 How many days are there in 672.45282us? 0.00000000778301875 What is 5/6 of a week in minutes? 8400 How many litres are there in 4338.872ml? 4.338872 How many microseconds are there in 763817.8 days? 65993857920000000 What is six fifths of a century in months? 1440 Convert 85193.5kg to milligrams. 85193500000 How many micrograms are there in 3/5 of a milligram? 600 Convert 0.3916579 millennia to years. 391.6579 Convert 23545.275 months to decades. 196.210625 What is 3/5 of a millennium in decades? 60 How many nanograms are there in one quarter of a microgram? 250 How many nanograms are there in one fifth of a microgram? 200 How many micrometers are there in 3/8 of a centimeter? 3750 Convert 82.17093 millennia to months. 986051.16 What is 5/4 of a kilogram in grams? 1250 How many hours are there in 11/4 of a day? 66 What is twenty-one fifths of a millennium in years? 4200 How many decades are there in 260.6727 years? 26.06727 How many seconds are there in 7/8 of a day? 75600 How many millilitres are there in twenty-one halves of a litre? 10500 How many hours are there in twelve sevenths of a week? 288 How many litres are there in 770031.7 millilitres? 770.0317 What is 974.96271 seconds in days? 0.011284290625 What is 5.067784 decades in months? 608.13408 What is 0.656929 years in decades? 0.0656929 How many millilitres are there in eleven eighths of a litre? 1375 What is 5289.063 days in microseconds? 456975043200000 How many meters are there in 503.276 kilometers? 503276 How many kilograms are there in 247.757 grams? 0.247757 What is 31768.62ml in litres? 31.76862 What is 0.6086222m in millimeters? 608.6222 How many millilitres are there in thirty-one fifths of a litre? 6200 What is 795345.2 minutes in seconds? 47720712 What is 7/2 of a tonne in kilograms? 3500 How many years are there in 3.419849 centuries? 341.9849 What is 27/4 of a litre in millilitres? 6750 How many months are there in 54263.4 decades? 6511608 What is 964.1606ml in litres? 0.9641606 What is eleven quarters of a litre in millilitres? 2750 Convert 7.859 centimeters to meters. 0.07859 What is 0.6002479 millilitres in litres? 0.0006002479 What is 3/25 of a century in years? 12 How many nanoseconds are there in 3.017621 hours? 10863435600000 What is 7.098538 micrometers in kilometers? 0.000000007098538 What is 3/5 of a centimeter in millimeters? 6 What is 3/40 of a meter in millimeters? 75 How many millimeters are there in 1/5 of a meter? 200 How many centimeters are there in 0.0053647km? 536.47 What is 3/128 of a week in seconds? 14175 How many milligrams are there in 199095.6 kilograms? 199095600000 What is 27/5 of a gram in milligrams? 5400 Convert 50.68702 millennia to years. 50687.02 What is twenty-three eighths of a tonne in kilograms? 2875 How many millimeters are there in 668.8247nm? 0.0006688247 How many centimeters are there in 3/25 of a kilometer? 12000 What is 73/3 of a minute in seconds? 1460 How many centimeters are there in 1/20 of a kilometer? 5000 How many grams are there in one fifth of a kilogram? 200 How many centuries are there in twenty-one fifths of a millennium? 42 How many centimeters are there in 4746.83um? 0.474683 How many micrometers are there in 8473.401m? 8473401000 What is twenty-nine fifths of a decade in years? 58 What is 57/2 of a kilogram in grams? 28500 How many millilitres are there in 0.1833751l? 183.3751 How many millilitres are there in thirteen quarters of a litre? 3250 How many litres are there in 19.85948ml? 0.01985948 What is 7/25 of a century in months? 336 What is 341264.4 litres in millilitres? 341264400 How many years are there in 3/25 of a century? 12 How many seconds are there in 2/15 of a day? 11520 How many years are there in 27/2 of a century? 1350 What is 1/5 of a millisecond in microseconds? 200 How many meters are there in 9.033155cm? 0.09033155 What is 890.7679um in nanometers? 890767.9 How many milligrams are there in 322844.2 kilograms? 322844200000 Convert 835512.9 millennia to centuries. 8355129 Convert 40.4745 nanometers to meters. 0.0000000404745 What is 6/5 of a kilogram in grams? 1200 What is 384435.2 millimeters in nanometers? 384435200000 What is 619453.9 days in nanoseconds? 53520816960000000000 How many millilitres are there in 3713.363 litres? 3713363 What is one sixteenth of a gram in micrograms? 62500 What is thirty-two fifths of a kilogram in grams? 6400 What is fourty-seven quarters of a millimeter in micrometers? 11750 What is 1/5 of a century in decades? 2 How many microseconds are there in twenty-one halves of a millisecond? 10500 Convert 0.3141026ml to litres. 0.0003141026 Convert 519.8053 millennia to years. 519805.3 What is 837.8698 grams in kilograms? 0.8378698 How many days are there in 13.2097284ns? 0.000000000000152890375 How many micrometers are there in 17/10 of a millimeter? 1700 What is twenty-five halves of a millennium in centuries? 125 How many micrometers are there in 1/10 of a millimeter? 100 How many days are there in 30/7 of a week? 30 How many years are there in 3/8 of a millennium? 375 What is 846.8421l in millilitres? 846842.1 What is 13/5 of a century in months? 3120 How many micrometers are there in fourty-four fifths of a centimeter? 88000 What is one quarter of a litre in millilitres? 250 What is fourty-five eighths of a kilogram in grams? 5625 Convert 56109.3l to millilitres. 56109300 Convert 8.521611nm to meters. 0.000000008521611 How many nanometers are there in one quarter of a micrometer? 250 How many litres are there in 45.97543 millilitres? 0.04597543 What is 5/8 of a litre in millilitres? 625 What is three tenths of a microgram in nanograms? 300 How many nanograms are there in 13/4 of a microgram? 3250 How many hours are there in 61/4 of a day? 366 What is 29319.48kg in micrograms? 29319480000000 Convert 5812.43um to meters. 0.00581243 What is 3/5 of a litre in millilitres? 600 How many kilograms are there in eleven halves of a tonne? 5500 How many millilitres are there in three eighths of a litre? 375 What is 32/5 of a kilogram in grams? 6400 What is 27/5 of a decade in months? 648 What is eleven halves of a day in hours? 132 What is seven quarters of a kilometer in meters? 1750 Convert 75.05712ng to micrograms. 0.07505712 Convert 0.1687853mg to tonnes. 0.0000000001687853 How many days are there in 15.9685425 microseconds? 0.00000000018482109375 How many minutes are there in 55/2 of a day? 39600 How many weeks are there in 13539.85794ns? 0.00000000002238733125 How many hours are there in 5/8 of a week? 105 How many grams are there in fourty-nine fifths of a kilogram? 9800 How many months are there in 6/5 of a millennium? 14400 What is five eighths of a centimeter in micrometers? 6250 How many kilograms are there in five quarters of a tonne? 1250 Convert 5948.903 nanoseconds to milliseconds. 0.005948903 What is 17.3885um in nanometers? 17388.5 Convert 130.7031 months to millennia. 0.010891925 Convert 29.92255 decades to years. 299.2255 Convert 6878.424 litres to millilitres. 6878424 How many kilograms are there in five eighths of a tonne? 625 What is 687619.6 millennia in years? 687619600 What is 9/10 of a decade in months? 108 How many micrometers are there in three eighths of a centimeter? 3750 Convert 2370092.4 months to millennia. 197.5077 Convert 0.8410099 years to decades. 0.08410099 Convert 8.384579 milligrams to tonnes. 0.000000008384579 What is 53/4 of a litre in millilitres? 13250 What is 29/2 of a millisecond in microseconds? 14500 How many litres are there in 655157.7ml? 655.1577 What is 6/25 of a millennium in decades? 24 How many milligrams are there in 1/4 of a gram? 250 What is 26/5 of a milligram in micrograms? 5200 What is fifty-one fifths of a tonne in kilograms? 10200 How many meters are there in 1/10 of a kilometer? 100 How many grams are there in 3/50 of a tonne? 60000 What is 32/5 of a hour in minutes? 384 How many grams are there in 79/2 of a kilogram? 39500 How many kilograms are there in 1703.257 grams? 1.703257 Wh
{ "pile_set_name": "DM Mathematics" }
is the remainder when 1408 is divided by 201? 1 Calculate the remainder when 66775 is divided by 1669. 15 Calculate the remainder when 1234891 is divided by 100. 91 Calculate the remainder when 12574 is divided by 2484. 154 What is the remainder when 11391 is divided by 2275? 16 What is the remainder when 7596 is divided by 117? 108 What is the remainder when 33835 is divided by 1990? 5 Calculate the remainder when 4002 is divided by 499. 10 Calculate the remainder when 114108 is divided by 137. 124 Calculate the remainder when 24112 is divided by 710. 682 Calculate the remainder when 2893 is divided by 333. 229 Calculate the remainder when 235871 is divided by 728. 727 Calculate the remainder when 23819 is divided by 552. 83 Calculate the remainder when 70521 is divided by 28. 17 What is the remainder when 308240 is divided by 61647? 5 Calculate the remainder when 6452 is divided by 2140. 32 Calculate the remainder when 3918 is divided by 206. 4 What is the remainder when 233 is divided by 29? 1 What is the remainder when 287191 is divided by 95715? 46 What is the remainder when 10449 is divided by 5192? 65 What is the remainder when 18810 is divided by 418? 0 What is the remainder when 647 is divided by 394? 253 Calculate the remainder when 452 is divided by 214. 24 What is the remainder when 6612339 is divided by 1294? 1293 What is the remainder when 1067794 is divided by 721? 714 What is the remainder when 264794 is divided by 88258? 20 What is the remainder when 1318 is divided by 1317? 1 What is the remainder when 45701 is divided by 130? 71 What is the remainder when 4795 is divided by 2353? 89 Calculate the remainder when 31788 is divided by 120. 108 What is the remainder when 17544 is divided by 283? 281 Calculate the remainder when 52925 is divided by 504. 5 What is the remainder when 10247 is divided by 330? 17 What is the remainder when 34984 is divided by 11660? 4 What is the remainder when 26223 is divided by 1861? 169 Calculate the remainder when 15545 is divided by 7. 5 What is the remainder when 8949 is divided by 169? 161 What is the remainder when 56295 is divided by 37? 18 Calculate the remainder when 560 is divided by 278. 4 What is the remainder when 2155918 is divided by 156? 154 Calculate the remainder when 55128 is divided by 2623. 45 Calculate the remainder when 23974 is divided by 3994. 10 What is the remainder when 3476 is divided by 1729? 18 What is the remainder when 197502 is divided by 2351? 18 Calculate the remainder when 4071 is divided by 1090. 801 Calculate the remainder when 13126 is divided by 40. 6 What is the remainder when 489 is divided by 153? 30 What is the remainder when 77752 is divided by 712? 144 What is the remainder when 403853 is divided by 344? 341 What is the remainder when 41450 is divided by 20700? 50 Calculate the remainder when 661 is divided by 18. 13 What is the remainder when 56775 is divided by 29? 22 What is the remainder when 58361 is divided by 58344? 17 What is the remainder when 35416 is divided by 180? 136 What is the remainder when 6044 is divided by 56? 52 What is the remainder when 6877 is divided by 385? 332 What is the remainder when 19131 is divided by 6377? 0 What is the remainder when 190916 is divided by 809? 801 Calculate the remainder when 2724 is divided by 286. 150 What is the remainder when 65436 is divided by 5453? 0 Calculate the remainder when 13335 is divided by 1665. 15 What is the remainder when 137723 is divided by 19674? 5 What is the remainder when 300222 is divided by 188? 174 What is the remainder when 14951 is divided by 267? 266 Calculate the remainder when 114170 is divided by 28. 14 Calculate the remainder when 52448 is divided by 33. 11 Calculate the remainder when 121045 is divided by 157. 155 Calculate the remainder when 55987 is divided by 55820. 167 What is the remainder when 153062 is divided by 582? 578 Calculate the remainder when 1745 is divided by 88. 73 What is the remainder when 535594 is divided by 53558? 14 Calculate the remainder when 24777 is divided by 6165. 117 Calculate the remainder when 221733 is divided by 880. 853 What is the remainder when 237392 is divided by 547? 541 Calculate the remainder when 28392 is divided by 4043. 91 Calculate the remainder when 10440 is divided by 249. 231 Calculate the remainder when 15818 is divided by 565. 563 What is the remainder when 6534 is divided by 1047? 252 Calculate the remainder when 5063 is divided by 2517. 29 What is the remainder when 6391 is divided by 38? 7 Calculate the remainder when 125385 is divided by 76. 61 Calculate the remainder when 451 is divided by 85. 26 What is the remainder when 7737 is divided by 855? 42 Calculate the remainder when 25746 is divided by 302. 76 Calculate the remainder when 49922 is divided by 49897. 25 Calculate the remainder when 9824 is divided by 483. 164 What is the remainder when 479523 is divided by 479513? 10 Calculate the remainder when 3789 is divided by 15. 9 What is the remainder when 18859 is divided by 5? 4 What is the remainder when 12421133 is divided by 29? 27 What is the remainder when 323959 is divided by 1917? 1903 Calculate the remainder when 18986 is divided by 4742. 18 What is the remainder when 57092 is divided by 57052? 40 What is the remainder when 2886 is divided by 1002? 882 What is the remainder when 22165 is divided by 22152? 13 What is the remainder when 1429167 is divided by 52? 51 Calculate the remainder when 214838 is divided by 219. 218 What is the remainder when 1004 is divided by 730? 274 Calculate the remainder when 1821 is divided by 579. 84 Calculate the remainder when 355562 is divided by 389. 16 Calculate the remainder when 11774 is divided by 2942. 6 What is the remainder when 11676 is divided by 61? 25 Calculate the remainder when 54202 is divided by 1063. 1052 What is the remainder when 5655 is divided by 105? 90 Calculate the remainder when 6999 is divided by 999. 6 What is the remainder when 108983 is divided by 10886? 123 What is the remainder when 87 is divided by 15? 12 Calculate the remainder when 4046 is divided by 2001. 44 Calculate the remainder when 1039 is divided by 203. 24 Calculate the remainder when 30616 is divided by 963. 763 Calculate the remainder when 12588 is divided by 900. 888 What is the remainder when 242841 is divided by 829? 773 What is the remainder when 37052 is divided by 757? 716 What is the remainder when 210866 is divided by 126? 68 What is the remainder when 65979 is divided by 1244? 47 What is the remainder when 10577 is divided by 4937? 703 What is the remainder when 18250 is divided by 39? 37 What is the remainder when 324 is divided by 74? 28 Calculate the remainder when 38201 is divided by 5435. 156 What is the remainder when 2130 is divided by 1110? 1020 Calculate the remainder when 34359 is divided by 413. 80 Calculate the remainder when 287822 is divided by 65. 2 What is the remainder when 116246 is divided by 19371? 20 Calculate the remainder when 2160 is divided by 416. 80 What is the remainder when 100756 is divided by 10? 6 Calculate the remainder when 543631 is divided by 406. 403 Calculate the remainder when 250583 is divided by 115. 113 Calculate the remainder when 213691 is divided by 126. 121 What is the remainder when 3081 is divided by 37? 10 Calculate the remainder when 1375 is divided by 644. 87 Calculate the remainder when 49017 is divided by 285. 282 What is the remainder when 64679 is divided by 220? 219 Calculate the remainder when 6936187 is divided by 13. 11 Calculate the remainder when 2439 is divided by 734. 237 Calculate the remainder when 115050 is divided by 1494. 12 What is the remainder when 38306 is divided by 284? 250 Calculate the remainder when 45113 is divided by 9020. 13 Calculate the remainder when 453 is divided by 244. 209 Calculate the remainder when 2133 is divided by 20. 13 What is the remainder when 789873 is divided by 111? 108 Calculate the remainder when 257 is divided by 187. 70 Calculate the remainder when 56865 is divided by 84. 81 What is the remainder when 195695 is divided by 445? 340 What is the remainder when 145493 is divided by 7655? 48 What is the remainder when 91585 is divided by 171? 100 What is the remain
{ "pile_set_name": "DM Mathematics" }
-s**5/60 - 11*s**4/24 - 6*s**2. Let x be n(-11). Let k be x - (-3 + 0) - -2. Solve -k*w = 17 - 7, u - 2*w = -1 for u. -5 Let f be 9*8/468 - (-48)/26. Solve 3*h + f*v - 25 = -0*v, 40 = 4*h + 4*v for h. 5 Let g be -9 + 17 + -7 - (-2)/2. Solve g*m - 4 = 3*i, -m + 4*i + 0*i + 12 = 0 for m. -4 Let r(c) = 2*c**2 + 60*c - 126. Let k be r(-32). Solve 4*g + 15 - 34 = 5*t, 10 = 4*g - k*t for g. 1 Let n be 3*(-2)/3 - -10. Suppose -16 = -6*w + w - 3*l, -3*l + n = w. Solve 7 = 2*x - 5*r, w*r + 2*r = -4 for x. 1 Let w be ((-32)/40)/((-2)/(-5)). Let o be (-138)/(-8) - w/(-8). Solve -2*i - 2*y = 3*i + o, -2*i + 3*y = 22 for i. -5 Suppose 4*r - 3 = -71. Let j(t) = -t**3 - 17*t**2 + 5. Let c be j(r). Solve -4 = -p + 2*p - o, c*p + 23 = 2*o for p. -5 Let a = 5 + -20. Let w = -15 - a. Solve -o - 2 + w = 2*v, -19 = v + 5*o for v. 1 Let y(g) = -g + 10. Let m(f) = 5*f - 41. Let c(j) = -2*m(j) - 9*y(j). Let q be c(-13). Solve 3*l + 5*z + 3 = -2, 4*l + q*z = 0 for l. 5 Let w = -184 + 192. Solve -4*r + 0*p - 24 = -3*p, -2*p + w = 0 for r. -3 Let g = -11 + 15. Let j be g*1*6/8. Solve -j*f + f + 18 = 2*h, 2*h + 12 = 4*f for f. 5 Let b(s) = 10 - 3 + s**2 - 7*s + s. Let v be b(6). Suppose -u - 24 = -v*u. Solve 3*r = 4*o - 21, 3*r - u = -5*o + 2 for r. -3 Suppose -75*w + 55*w + 40 = 0. Suppose 5*n - n - 20 = 0. Suppose -a = s - 14, 0 = s - 2*s + 2*a + n. Solve s = -w*x - 5*d, 4 = -3*x + 4*d + d for x. -3 Let o = -25 + 28. Suppose 5*f - 3*h - 33 = 0, -h - o*h = 2*f - 34. Solve y + 3*t = -4*y - f, y - 2*t + 7 = 0 for y. -3 Suppose -2*h + 245 = h - k, 0 = 3*k - 3. Let f = -48 + h. Let y be 24*((-1)/(-2) + 0)*(-1454)/(-2181). Solve u = -w + y, 3*u - f = -w - 4*w for u. 3 Let c be (-3)/(-21) - 312/(-168). Solve 3*d - y = c*d + 3, -3*y - 21 = 3*d for d. -2 Let w = -1175 - -1177. Solve -2 = -13*l + 9*l + w*t, 5*t = -15 for l. -1 Suppose -h = h - 6. Let o(a) be the second derivative of -a**4/12 + a**3 - 5*a**2/2 - 5*a. Let q be o(5). Solve q = 4*f - 0*f - z + 15, h*z = f + 1 for f. -4 Let n be 18/5 - 52/(-130). Solve 2*i + 2*b - 4 = 0, 0 = -3*i + n*b + 9 + 11 for i. 4 Suppose 0 = -5*l + l + 16. Suppose -l*a + a = -6. Let j(f) = f**2 - 2*f + 3. Let b be j(a). Solve 0 = 4*s - b*o - 25, 2*s = o + 9 + 2 for s. 4 Suppose 4 = -k - n, -2*n - 10 = 4*k - 2. Solve -s + 17 = 7*c - 3*c, s - 4*c + 7 = k for s. 5 Let v(n) = -n**3 - 19*n**2 - 2*n - 36. Let j be v(-19). Solve -4*m + 6 = -5*z + 1, j*z + 3*m = 21 for z. 3 Suppose w + 4*h + 1 = -14, -h = 5*w + 56. Let b be (12/(-9))/(w/3 - -3). Solve -b*z + 15 = 5*j, j = -0*z - 3*z + 3 for z. 0 Suppose -2*k + 6 = 2*h, 3*h + 3*k = 5*k - 1. Let c = 12 + -16. Let b = 8 + c. Solve 0 = -2*a + b, w - 2*a = -0*a - h for w. 3 Suppose -26 = 5*l - 286. Let r = l - 49. Suppose 4*z - 5*o = 15, z - o - 3*o = 1. Solve 0*w = -2*g - 3*w - z, r*w - 3 = 0 for g. -4 Suppose 0 = -0*g - 5*g. Suppose -2*k + 6 = 4*p, g = -5*p + 3*k - k + 30. Let t be (6/21)/(2/14). Solve -9 = -3*x, p*w + t*x - 12 = -2*x for w. 0 Let y(s) = -s. Let c be y(0). Let o = -657 - -659. Solve o*z + 2*v + c*v = 10, -3*z - 15 = -3*v for z. 0 Suppose 6*g = 2*g - 124. Let l = g + 31. Let t be 1*(l/(-4) - 0). Solve 0*z - z + 5*f + 18 = t, 0 = -4*z + 3*f + 21 for z. 3 Let p be (0 - 2) + -150 + 157. Solve -5*i + 23 = j + 16, -i = -p*j - 17 for j. -3 Suppose 2*b = -b + 63. Let i be 12/(-1)*(-7)/b. Let f = 262 + -262. Solve -10 = -2*l - 2*l + r, f = l + 3*r + i for l. 2 Suppose 16*t = 8*t + 32. Suppose -2*s + 25 = w - 7*s, 4*w - t*s - 36 = 0. Solve 0 = w*d + 5, -11 = 4*x - 0*d + 3*d for x. -2 Let h be (-4)/10 + (6 - (-70)/50). Solve 2 = t - 3*z, 0 = 3*t - h*z + 4*z for t. -1 Let f be ((-4)/(-8))/((-3)/(-30)). Solve 10*c - 5*g = 5*c - 25, 3*g - 15 = -f*c for c. 0 Suppose 0 = o + o - 4*h + 22, 0 = 2*o - h + 25. Let i be 4/1 - (-6 + -5). Let x = i + o. Solve -5*n = -3*b + 5, b + 2*n + x = 3*b for b. 0 Suppose -7*d + 3*d + v - 5 = 0, -2*v = 2*d. Let a(j) = -5*j + 9. Let p be a(d). Solve o - 3*r = p, -3*o + 0*r + 18 = -3*r for o. 2 Suppose -3*i + 10 = -2*h + h, 2*h + 2*i = 20. Suppose 2*m = 5*d + 6, 0*m - 2*d + 44 = h*m. Solve g = -0*w - w + 1, 0 = 2*g - 3*w + m for g. -1 Let o be 75*(-24)/(-220) - (-2)/(-11). Solve -3*v = 4*f - 11, 2*v + 3*f = -0*v + o for v. 1 Suppose 33 + 27 = 20*t. Solve -t*j = -4*l + 29, 2*j - 7 = -2*l + j for l. 5 Let a be (16/(-6))/((-3)/(-18)). Let r = a + 10. Let d = 8 + r. Solve 3*z - 10 = u, -d*z - 5*u + 2 = 1 for z. 3 Suppose -23*y - 18 = -24*y. Suppose 6*t + 0 - y = 0. Solve -2*j = 2*d + 1 + 1, -5*d + 35 = -t*j for j. -5 Let a = 955 + -951. Solve 0 = r - a, -4*r = 2*g - 0*r - 20 for g. 2 Suppose -5*s + 10*s - 340 = -2*p, -68 = -s - p. Let l = -65 + s. Solve -x - 10 = -2*f, 0 = -l*x - 3*f + 8 - 2 for x. -2 Let n = 45 - 43. Suppose -n = -f - h, 2*f - 4 = -4*h - h. Solve 5*a = -f*z + 35, -z + 2*a - 2 = 3 for z. 5 Suppose 0*l - 36 = -9*l. Suppose 0*s + 2*s - l*t + 10 = 0, 4*t = 20. Solve s*z - 2 = -5*h + 3, 3*z + 5 = 5*h for h. 1 Let k(w) = w**2 + 13*w + 44. Let x be k(-7). Solve -d = -o + x*o - 1, 2*d = -4*o for d. 2 Suppose 37 = 5*y + 4*o, -2*y = o - 2*o - 7. Solve 3*k + 2*b - 14 = 0, -3*k - 4*b = -y*b - 2 for k. 2 Let a(r) = -9*r - 57. Let t be a(-13). Suppose 21*o + t = 26*o. Solve 2*w = g + 8, -3*w + 3*g + 2*g + o = 0 for w. 4 Let o = 11 + -9. Suppose -3*m + 3*h = 3, -o*m - 11 = -3*h - 4. Solve -5*l + 10 = -2*f, -m*f - 19 - 1 = 2*l for l. 0 Let w = 6 + -3. Suppose -n = w*k - 6, -3*k - 4*n + 6 = -n. Let x = -131 + 134. Solve -1 = x*d - k*c + 2, 3*d + 5*c - 18 = 0 for d. 1 Let h = 15 - -7. Suppose t - 6*t + 100 = 0. Let m = h - t. Solve -2*b + 6*g - 4 = 2*g, -b = 2*g + m for b. -2 Let f(i) = 2*i**2 + 96*i + 274. Let g be f(-45). Solve y = -g*j, -2*y = -4*y for j. 0 Suppose 3*h - 32 = -a, 2*a = 3*h - 8*h + 65. Solve -2*b = -5*p + b - a, -4*b + 24 = -p for p. -4 Let d = -134 - -165. Solve -4*a + 4*u = 3 + 1, -4*a = 5*u + d for a. -4 Suppose 23*k - 27*k + r = -12, 0 = -5*k + r + 16. Solve -5*w + 16 + 4 = 0, -k*v - 5*w = -28 for v. 2 Let j(i) = -2*i + 12. Let x be j(0). Let o = -169 + 173. Solve -5*u - 5*f = -0*u - 15, o*u - f = x for u. 3 Let t be (-9 - -3)*(-4)/8. Solve -t*h - 3 = z, 2*h = 7*h - z + 13 for h. -2 Suppose -6*t + 117 = -39. Let z be t/6 + 7/((-63)/(-6)). Solve -4*p + 4 = -z*d - 7*p, -5*d = 2*p + 1 for d. 1 Let s be (2 - 0 - 1) + 0. Let v be (-2)/(-3) - (-12)/9. Let w = -873 + 877. Solve w*x - 35 = 5*n - x, 0 = n + v*x + s for n. -5 Suppose -47*y + 21*y + 104 = 0. Solve 5*a + 20 = -y*c, -5 + 1 = 4*c + a for c. 0 Suppose 11 = -7*w + 18*w. Solve -1 = -2*s - r + w, 2*s = -4*r + 2 for s. 1 Let h be 192/39 + 3/39. Solve x + 5 = 2*x + h*v, 0 = 2*v for x. 5 Suppose 0 = 11*l - 17*l + 30. Solve 5*b - l*c + 40 = 0, -c - 36 = 4*b - 6*c for b. -4 Suppose 86 - 70 = 4*z. Solve 0 = 5*u + 21 - 6, 3*u = -z*i - 25 for i. -4 Suppose -10*h - 124 = -194. Solve 4*y + 2*z - 5*z - h = 0, 3*z - 9 = 0 for y. 4 Let s(b) = -11*b**3 - 2*b**2 + 1. Let j be s(1). Let w = 16 + j. Suppose 0 = -w*i + i + 12. Solve -i*k = -0 + 4, -3*z - 5*k = 5 for z. 0 Let s(q) = 2*q - 2. Let h be s(-2). Suppose -13*m = -12*m - 9. Let y be ((-2)/h)/(m/54). Solve -x + y*l = -14, -2*x + 4*l = 3*x - 40 for x. 4 Let s(h) = -5*h + 81. Let j be s(15). Solve -3*v = -5*c - 6, 0 = 3*v + 4*c - c - j for v. 2 Let p be (-4)/18 - 104/18. Let w be -2 + (3 + -5 - p). Let v be (-5)/((-5)/w) - -1. Solve -3*g + 2*s + 0 - 8 = 0, -v*s = -2*g - 7 for g. -2 Let k(x) = 4*x**2 + 39*x - 8. Let b be k(-10). Solve -2*q + 10 = 0, -b*d - 4*q + 31 = q for d. 3 Let w = -8 + 11. Let f = -2 + 4. Solve -w*d - f*i = 0, -4*d - 1 = 4*i - i for d. 2 Suppose 5*c + 4*m = 21, 2*m + 3*m + 30 = 5*c. Solve 14 = -c*p + z - 5*z, -3 = 3*z for p. -2 Suppose 14 = 6*x - 4. Solve 0 = 2*r - x*z, 6*r + 13 = r + z for r. -3 Let s(t) = t**3 + 9*t**2 + 13*t + 11. Let z be s(-8). Let l = z - -31. Solve -3*o - 2 = f + l, -4*o - 4*f - 8 = 0 for o. -1 Let c = -197 - -199. Solve 2*h + 3*h = -3*v + 4, -h + 5 = c*v for v. 3 Let i be 2 + (-4 - (-4 - (-1 + 4))). Solve 4*n + n = -i*t + 45, 0 = n + 3*t - 17 for n. 5 Suppose 4*q - 12 = k, 4*q - 16*k + 12*k = 12. Solve 0 = h + 3*o + 4, -q*h - 2*h = 5*o + 20 for h. -4 Let k = -7 - -46. Let q be ((-35)/(-2))/((-4)/(-8)). Let g be (-20)/q + k/7. Solve 2*p + 12 = 2*z - 2*p, 4*z - g*p - 15 = 0 for z. 0 Let w(h) = 2 + 6 + 0*h - h + 3. Let m
{ "pile_set_name": "DM Mathematics" }
et i(m) be the first derivative of -2*m**6/21 - 13344*m**5/35 - 3709632*m**4/7 - 5500147712*m**3/21 - 1595. Factor i(f). -4*f**2*(f + 1112)**3/7 Let c = 114760/3 - 38120. Solve -1/3*f**2 - 40/3*f - c = 0 for f. -20 Let q = -1782698 + 1782700. Solve -28/9*h**3 + 0*h**q + 0 + 0*h + 7/9*h**5 - 32/3*h**4 = 0. -2/7, 0, 14 Let j(g) be the second derivative of -g**5/4 + 5*g**4/6 + 55*g**3/6 - 30*g**2 - 4*g + 158. Let j(w) = 0. Calculate w. -3, 1, 4 Let a(d) be the third derivative of d**8/168 - 57*d**7/35 + 235*d**6/2 + 11093*d**5/15 + 7511*d**4/4 + 2523*d**3 + 114*d**2 - d. Suppose a(k) = 0. Calculate k. -1, 87 Let z = 7/50116 + 73069079/350812. Solve 108/7*m + 2/7*m**2 + z = 0 for m. -27 Suppose 3*f + 2*n = 17, -1 + 9 = -4*f + 5*n. Let l be f/24*6 - 147/(-12). Factor -l + 4*m + 18 - 14*m + 5*m**2. 5*(m - 1)**2 Suppose -18839 + 69214 = 13*l. Factor -3863*o**3 + 3*o**4 + o**4 + l*o**3 - 16*o**2. 4*o**2*(o - 1)*(o + 4) Let y be (-74)/(-148)*(4/(-1) + 10 + -5). Let p be ((-9)/(-16))/((-6)/(-8)). Determine f, given that p*f**2 - y*f + 0 = 0. 0, 2/3 Let f be (-96)/(-112) - 66/(-21). Suppose -f*y + 4*y**3 + 11603 - 11603 = 0. What is y? -1, 0, 1 Suppose 2083*b - 2081*b = 0. Let d(r) be the second derivative of 1/48*r**4 - 16*r + b*r**2 + 0 - 1/24*r**3. Suppose d(s) = 0. What is s? 0, 1 Let s(b) be the first derivative of -b**5/130 - b**4/26 + 4*b**3/39 - 97*b + 208. Let h(x) be the first derivative of s(x). Suppose h(l) = 0. What is l? -4, 0, 1 Suppose 165 = 5*y - 4*d, -52 - 15 = -3*y - 4*d. Let s = -13 + y. Find t, given that -4*t**2 + s*t**2 - 4 - 22*t + 4*t**2 + 10*t**2 = 0. -2/13, 1 Let h(q) be the third derivative of -142*q**2 + 0*q**3 - 5/18*q**4 + 0 + 0*q - 1/90*q**5. Factor h(i). -2*i*(i + 10)/3 Let v(f) be the second derivative of -f**5/60 + 437*f**4/36 + 73*f**3/3 - 12*f + 68. Factor v(b). -b*(b - 438)*(b + 1)/3 Let n(c) be the first derivative of c**5/25 - 4*c**4/15 + 2*c**3/5 + 157*c - 132. Let l(x) be the first derivative of n(x). Solve l(j) = 0. 0, 1, 3 Let k(s) = -s**3 - 5*s**2 - 10*s - 15. Let z be k(-5). Factor -40*c**2 + 5*c**5 + 16*c**4 - 10*c**3 - 5 - 5 - z*c - 4*c**4 - 2*c**4. 5*(c - 2)*(c + 1)**4 Let d(i) = -i**3 + 7*i**2 + 2*i + 60. Let h be d(-6). Let c be 1/(h/256 + -2). Solve -50/3*r**4 + 32/3 + c*r**2 - 160/3*r + 40/3*r**3 = 0. -2, 2/5, 2 Let p(s) be the first derivative of -3*s**3/7 + 149*s**2/14 + 68*s/7 - 2241. Find w, given that p(w) = 0. -4/9, 17 Let b be (66/(-66))/((-4)/20). Find f, given that 0*f - 10/17*f**3 + 0 - 4/17*f**2 + 8/17*f**4 + 6/17*f**b = 0. -2, -1/3, 0, 1 Let n(i) = -3*i**2 + 111*i + 118. Let q be n(37). Suppose -q = -52*s + 90. Solve 2/9*y**3 + 0 + 2/9*y**s + 0*y - 4/9*y**2 = 0 for y. -2, 0, 1 Suppose -8 = 15*u - 13*u - 2*m, 0 = u - 5*m + 28. Let f(s) be the first derivative of -1 + 5/11*s**u - 6/11*s - 2/33*s**3 - 1/22*s**4. Factor f(n). -2*(n - 1)**2*(n + 3)/11 Suppose 0 = -25563*n + 26193*n. Suppose -2*m**3 + 1/2*m**4 + 5/2*m**2 + n - m = 0. What is m? 0, 1, 2 Factor -28*y + 754*y - 206*y**2 - 17593 + 16129 + 209*y**2. 3*(y - 2)*(y + 244) Let l(x) = -52*x**4 - 44*x**3 + 292*x**2 - 316*x + 120. Let s(i) = -2*i**4 + 3*i**2 - i. Let c(w) = -l(w) + 24*s(w). Factor c(p). 4*(p - 2)*(p - 1)**2*(p + 15) Let u(s) = 2*s**2 + 7*s - 20. Let t be u(6). Let b = t + -91. Factor -1820*c**3 - 100000*c - 625*c**3 + 445*c**b - 2*c**5 + 100*c**4 + 20000*c**2 + 200000. -2*(c - 10)**5 Let a be 301/129*((-5)/(30/12) + 58). Factor -84*d**2 + a*d - 1/3*d**4 + 0 + 10*d**3. -d*(d - 14)**2*(d - 2)/3 Let l = 239 - 237. Let q be (-10 + 18)/(4/l). Factor -8/11*p**q - 12/11*p**3 - 2/11*p - 2/11*p**5 - 8/11*p**2 + 0. -2*p*(p + 1)**4/11 Let y = -1169 + 1134. Let p be 41/35 - (-21)/y. Factor 4/7*h**4 - p*h**3 + 4/7*h**5 - 4/7*h**2 + 0*h + 0. 4*h**2*(h - 1)*(h + 1)**2/7 Let n be 1/16 + (-3179)/(-5712). Let g(k) be the second derivative of 17*k - 8/7*k**2 + 8/7*k**3 + 6/35*k**5 - 2/105*k**6 + 0 - n*k**4. What is v in g(v) = 0? 1, 2 Solve 3/2*n + 0 + 1/4*n**2 = 0. -6, 0 Let h(n) be the first derivative of n**4/4 + 13*n**3/3 + 11*n**2/2 - n + 292. Let c be h(-1). Let -2/5*r**2 - 12/5*r + c = 0. Calculate r. -6, 0 Let v(z) = -10*z**3 + 2*z**2 + 60. Let l(k) = -41*k**3 + 7*k**2 - 2*k + 250. Let q(w) = -6*l(w) + 25*v(w). Factor q(o). -4*o*(o - 3)*(o + 1) What is y in 583 + 608 - 1063 - 466*y**4 + 338*y**2 + 800*y**3 - 26*y**3 - 90*y**5 - 684*y = 0? -32/5, -1, 2/9, 1 Let x = -160/1719 - -2359/6876. Let y = -1/13 - -15/26. Factor y*v**3 + 0*v + x*v**4 + 0*v**2 + 0. v**3*(v + 2)/4 Let j(x) be the second derivative of -253*x**4/2 + 2*x**3/3 - 4434*x. Find v, given that j(v) = 0. 0, 2/759 Let a(s) be the second derivative of 0 - 9/2*s**2 - 69/40*s**5 + 31/8*s**4 - 5/4*s**3 + 3/20*s**6 + 85*s. Determine c, given that a(c) = 0. -1/3, 1, 6 Let f be (-126)/45 - -4*(-6)/(-8). Factor 4/5 + 4/5*s**3 - 3/5*s**2 - 4/5*s - f*s**4. -(s - 2)**2*(s - 1)*(s + 1)/5 Suppose 278*j - 18 = 269*j. Let d(g) be the second derivative of 1/54*g**4 + 5*g + 1/9*g**j - 2/27*g**3 - 5. Factor d(s). 2*(s - 1)**2/9 Suppose -4*m - 9*m + 24 = -5*m. Determine d, given that 2 + 16/7*d**2 - 1/7*d**m - 29/7*d = 0. 1, 14 Suppose 2*d - 28 = j, 0 = -2*d - 0*j - j + 20. Let b = -10736 - -10738. Factor 10*o - 2*o + d + b*o**2 - 36. 2*(o - 2)*(o + 6) Let k be -42 + -26 + 65 + 7*1. Factor -k + 10/3*q - 2/3*q**2. -2*(q - 3)*(q - 2)/3 Let t(j) be the second derivative of 1677/20*j**5 + 0 + 0*j**2 - 194*j + 0*j**3 + 3/14*j**7 + 8*j**6 + 169/2*j**4. Determine o so that t(o) = 0. -13, -2/3, 0 Let b(x) = -x**5 + 3*x**4 - 11*x**3 + 9*x**2 + 2. Let t(h) = 4*h**5 - 11*h**4 + 34*h**3 - 27*h**2 - 7. Let i(d) = -7*b(d) - 2*t(d). Factor i(s). -s**2*(s - 3)*(s - 1)*(s + 3) Let b(n) = -2*n**2 + 2*n + 3. Let i be b(-1). Let j(v) = v**2 - v. Let a(p) = -p**2 - 21*p - 32. Let t(l) = i*j(l) + a(l). Let t(w) = 0. What is w? -8, -2 Let i(d) = -23*d**2 + 1568*d + 614656. Let z(c) = 29*c**2 - 1568*c - 614656. Let v(p) = -5*i(p) - 4*z(p). Find o, given that v(o) = 0. -784 Let b(a) = 5*a**2 - 40*a - 178. Let f(r) = -r**2 + 8*r + 37. Let s(q) = -4*b(q) - 19*f(q). What is j in s(j) = 0? -1, 9 Let y(c) be the first derivative of c**6/360 - 2*c**5/5 + 24*c**4 - 2*c**3/3 + 29*c**2/2 + 33. Let o(l) be the third derivative of y(l). Factor o(t). (t - 24)**2 Factor -8/3 + 56*j - 54*j**2 + 40/3*j**3. 2*(j - 2)**2*(20*j - 1)/3 Let c(p) be the first derivative of -2*p**3/3 - 459*p**2 + 920*p + 1. Solve c(n) = 0 for n. -460, 1 Let a(z) be the first derivative of 2*z**5/15 + 2*z**4/3 - 142*z**3/9 + 22*z**2 + 1758. Let a(c) = 0. What is c? -11, 0, 1, 6 Determine j, given that -3128/9 + 4/9*j**2 + 1556/9*j = 0. -391, 2 Let z(o) be the second derivative of 5*o**7/126 + 8*o**6/9 + 9*o**5/2 - 20*o**4/9 - 275*o**3/18 + 1557*o. Determine d so that z(d) = 0. -11, -5, -1, 0, 1 Let y(v) be the first derivative of v**4/3 + 28*v**3/3 + 196*v**2/3 + 160*v + 2242. Factor y(d). 4*(d + 2)*(d + 4)*(d + 15)/3 Let k be (-8 - (-6 - -2))*(-40)/(11200/35). Suppose -3*z + 4 + 2 = 0. Factor k*w**z + 7 + 9/2*w. (w + 2)*(w + 7)/2 Let x(y) be the first derivative of 51/8*y**4 - 3*y**2 - 79 + 5/4*y**6 + 0*y + 0*y**3 + 27/5*y**5. Determine b so that x(b) = 0. -2, -1, 0, 2/5 Suppose -w + 160*h - 162*h = 4, 10 = -4*w - 5*h. Let -2*b**2 + 2/3*b + w - 8/3*b**3 = 0. What is b? -1, 0, 1/4 Let q = -185912/7 + 26559. Let -q*m**5 + 0*m - 5/7*m**4 - 3/7*m**2 + 0 - m**3 = 0. Calculate m. -3, -1, 0 Factor -5*u**4 + 16154710*u - 1217*u**3 + 1714*u**3 - 317460*u**2 - 73105175 + 1673*u**3. -5*(u - 143)**3*(u - 5) Factor 837661*t - 576075*t**2 - 190512 + 3*t**5 - 88503*t**3 - 1521*t**4 + 283560*t**3 - 264613*t. 3*(t - 252)**2*(t - 1)**3 Let j(d) = d**3 + 19*d**2 + 43*d - 70. Let u be j(-16). Suppose -3*g + 10 = w + 2*g, 0 = 2*w + 5*g - u. Factor 2/3*r**3 - 8/3*r + 0 + w*r**2. 2*r*(r - 2)*(r + 2)/3 Let j be 1 - (-2 - 0) - (-54)/18. Let i = j + 17. Determine z, given that -31*z + 61*z - i - 4*z**2 + 2*z - 41 = 0. 4 Suppose -5*c = -0*c + 25, 75 = 4*d + c. Suppose -17*p = -22*p + d. Solve -6*m + 4*m**3 - 4*m + 0*m - p*m**2 + 2*m = 0. -1, 0, 2 Let o(b) = 127*b**2 + 356*b - 110. Let l(r) = -699*r**2 - 1958*r + 606. Let z(m) = -10*l(m) - 54*o(m). Factor z(s). 4*(s + 3)*(33*s - 10) Let i be (-1472)/128 + 9 + 6 + -3. Let 0 + 2*t**2 + i*t**3 + 3/2*t = 0. What is t? -3, -1, 0 Let f
{ "pile_set_name": "DM Mathematics" }
-23*sqrt(7)/78 Simplify (4*sqrt(143)*4)/(-2*sqrt(176)). -2*sqrt(13) Simplify -1*((-6*-2*sqrt(200))**2 - ((0 + sqrt(8))**2 + -4)). -28796 Simplify ((-6*(1 + sqrt(1584)) + (sqrt(1584) - (-1 + 1 + sqrt(1584))))*2)**2. 3456*sqrt(11) + 228240 Simplify -3*((2*(sqrt(33) + sqrt(33)*1))/(sqrt(1100)*2))**2. -9/25 Simplify 4*(sqrt(13) + -1 + sqrt(13))**2 + sqrt(832)*1 + ((-3*sqrt(104)*-2 + sqrt(104))/sqrt(8))**2. -8*sqrt(13) + 849 Simplify (2 + -4*sqrt(1280) + 4)**2. -768*sqrt(5) + 20516 Simplify ((sqrt(539) + sqrt(539) + 1)*5 - ((sqrt(539) - (sqrt(539) - (-1 + sqrt(539))))*3)**2) + 2. -4853 + 196*sqrt(11) Simplify (5 + sqrt(2156)/sqrt(4) + 0 + sqrt(1584))**2*3. 570*sqrt(11) + 11988 Simplify -5 + (sqrt(2057) + 1)*-1 + -5 + 1 + (3*(0 + sqrt(2057)))**2. -11*sqrt(17) + 18503 Simplify (-2*(1*sqrt(99) - sqrt(99) - sqrt(99)) + 1*(2*sqrt(99) - sqrt(99)))/(sqrt(72)/((1*sqrt(16))/sqrt(2))). 3*sqrt(11) Simplify (-4*(sqrt(95) - (sqrt(95) + sqrt(95) + sqrt(95)*-1)))/(1*sqrt(125)) + -5. -5 Simplify ((-2*sqrt(153)*1 + (sqrt(153) - (sqrt(153) + 1 + 0 + sqrt(153))))*1)**2 + -1. 18*sqrt(17) + 1377 Simplify (-3*(sqrt(136) + sqrt(136)*1)*-6)/(sqrt(96)/(sqrt(12) - ((-3*sqrt(96) - sqrt(96))/sqrt(8) - sqrt(12) - sqrt(12)) - sqrt(12))). 216*sqrt(17) Simplify (-2*(-5 + -3*sqrt(2057) + -6*(-1 + sqrt(2057)) + sqrt(2057)))**2*5. -3520*sqrt(17) + 2632980 Simplify (sqrt(75)*-1*5)**2 + ((sqrt(3)*3)**2 + -3 - sqrt(3)) + -5. -sqrt(3) + 1894 Simplify -5*((1*sqrt(119)*2 - sqrt(119)) + sqrt(119) + sqrt(119))/(sqrt(42)/sqrt(150)). -75*sqrt(17) Simplify -1*2*((sqrt(480) - sqrt(30))/sqrt(3) - sqrt(10))/(sqrt(20)*-4 + sqrt(5) + sqrt(5)). 2*sqrt(2)/3 Simplify (((1*sqrt(360) + sqrt(360))*3)/sqrt(10))/(((sqrt(24) + sqrt(24)*-3)*2)/sqrt(2)). -3*sqrt(3)/2 Simplify (-2*sqrt(12)*1*3)/(-4*-2*sqrt(96)). -3*sqrt(2)/16 Simplify ((sqrt(120)/(sqrt(132)/(sqrt(44)/sqrt(4))))/((-1*sqrt(45))/sqrt(9) - sqrt(5) - sqrt(60)/((sqrt(24)/sqrt(2) - sqrt(12)) + sqrt(12))) + 3)**2. -2*sqrt(2) + 83/9 Simplify sqrt(98)*1 + (sqrt(8) - sqrt(2))**2*-3 - ((-5 + (sqrt(8) - sqrt(2)))**2 + 2). -35 + 17*sqrt(2) Simplify 6*(0 + (sqrt(5) + -2)*2 + -3). -42 + 12*sqrt(5) Simplify (1 + -3*(sqrt(1008) + 2) + -1 + 0)**2. 432*sqrt(7) + 9108 Simplify (-3 + (sqrt(55) + (sqrt(495) + sqrt(55))*-3 + sqrt(55))/(sqrt(55)/(sqrt(11)*-1)))**2. -60*sqrt(11) + 1109 Simplify -1*(-3*(sqrt(192) + sqrt(192) + 0 - sqrt(192))*-4*5)**2*-3. 2073600 Simplify (4*(sqrt(19) + (sqrt(475))**2 + -4 + (sqrt(19) + (sqrt(95)/sqrt(5) - sqrt(19)) + 4 + sqrt(19))**2) + -1)*-2. -4502 - 136*sqrt(19) Simplify (((4 + sqrt(363))*-2 - (sqrt(363) + 0)*-1)*-2)**2. 704*sqrt(3) + 1708 Simplify ((sqrt(76) + sqrt(76)*-1)*2)/sqrt(4) + (-5*-4*sqrt(475))**2. 190000 Simplify (-3 + 4 + sqrt(1300) + 2 + (sqrt(13) - -3*2*sqrt(13)))**2. 102*sqrt(13) + 3766 Simplify 1 + sqrt(27)/sqrt(225) + -4 + (sqrt(75) + -2*sqrt(75)*4)**2 + 3. sqrt(3)/5 + 3675 Simplify (sqrt(1620) + -1*sqrt(1620))**2 - 4*((1*sqrt(405))**2 + sqrt(5)). -1620 - 4*sqrt(5) Simplify (2*(-1*sqrt(2000) - sqrt(2000))/(sqrt(70)/(sqrt(28)/sqrt(4))))**2. 3200 Simplify ((sqrt(208) + 1*sqrt(208))*-3 + sqrt(208))/(-2*sqrt(576)). 5*sqrt(13)/12 Simplify (-3*(sqrt(2) + -3)*3 - sqrt(12)/sqrt(6)*4*6)**2 + 1. -1782*sqrt(2) + 2908 Simplify (1*sqrt(13) + sqrt(13) + 1 + sqrt(52)/sqrt(16))**2 - (0 + 6*((sqrt(13)*3 - sqrt(13)) + sqrt(13))). -13*sqrt(13) + 329/4 Simplify (sqrt(1573) + 2)**2 + -1 + (1 + sqrt(13) + 1 - (6*sqrt(39)/sqrt(3) - sqrt(13))) + 4. 40*sqrt(13) + 1582 Simplify sqrt(1573)*3 + 5 + -1 + (1*sqrt(1573))**2 + -5. 33*sqrt(13) + 1572 Simplify -3 + (sqrt(27)/(sqrt(108)/sqrt(192) - sqrt(9)) - (sqrt(12)/sqrt(4)*1 + 5))**2. 115/3 + 70*sqrt(3)/3 Simplify 2*(sqrt(125) + 5*(5 + sqrt(125)) + -5)**2. 2400*sqrt(5) + 9800 Simplify (-2*sqrt(468) + -5 + (sqrt(468) - (sqrt(468) + 0 - sqrt(468))*-3) + 5)**2*3. 1404 Simplify sqrt(250)/sqrt(2)*1*6*1. 30*sqrt(5) Simplify ((sqrt(343)*2*-2 + sqrt(343))*4)**2*4*-6. -1185408 Simplify (0 + ((sqrt(612)*-5 + sqrt(612))/sqrt(12))/(2*sqrt(12)))*-1. sqrt(17) Simplify -5 + -3*-1*((sqrt(1728) + -1)**2 + 5 - sqrt(1728)). -216*sqrt(3) + 5197 Simplify (2*(1 + sqrt(1008)) - (sqrt(1008) - (sqrt(1008) + 0 + sqrt(1008)))*4)**2. 288*sqrt(7) + 36292 Simplify 3*(5 + -1*sqrt(1053) + sqrt(1053)) + -5 + (sqrt(1053) + 0)**2 + (-2 + -1 + sqrt(1053))**2 + 0. -54*sqrt(13) + 2125 Simplify (-1 + (sqrt(75) + (sqrt(75) - ((sqrt(75) + (sqrt(75) - sqrt(75)*-2) - sqrt(75)) + sqrt(75))*-2) + 5)**2)*3. 1500*sqrt(3) + 22572 Simplify (-5*(-2 + ((1*sqrt(192) - sqrt(192)) + -4)*3*-1))**2. 2500 Simplify (3 + -6*(sqrt(300) + 1 + -4 - (-1*sqrt(300) + 5 - sqrt(300))))**2. -18360*sqrt(3) + 99801 Simplify (-6*(sqrt(1053)*-3 + sqrt(1053))**2 - (-1*-3*sqrt(52)/sqrt(4))**2)*6. -152334 Simplify (((sqrt(5) - (sqrt(10) + (sqrt(10) - -1*sqrt(10)) - sqrt(10) - sqrt(10))/sqrt(2) - sqrt(30)/(sqrt(6) - sqrt(6)*-2)) + -2)*5)**2. 100*sqrt(5)/3 + 1025/9 Simplify ((sqrt(425) + 2)*2)**2 + (sqrt(2448) - (sqrt(2448) - ((sqrt(2448) + (sqrt(2448) - ((sqrt(2448) + -2 - sqrt(2448)) + sqrt(2448))*2))**2 - sqrt(2448)))). 68*sqrt(17) + 1732 Simplify (sqrt(11) - (sqrt(77)/(-3*sqrt(7) + sqrt(7)))**2)*-4 + (sqrt(275) - (sqrt(275) + 0 + sqrt(275) + 1 + sqrt(275))**2 - sqrt(275)). -2465 - 34*sqrt(11) Simplify (-4 + (1*(sqrt(550) - sqrt(550)*-1))/((sqrt(1331) + sqrt(1331)*-2 - sqrt(1331)) + sqrt(11)))**2 + 4. 80*sqrt(2)/21 + 9020/441 Simplify (-2*-1*sqrt(209))/(sqrt(66)/(sqrt(6)*-2)). -4*sqrt(19) Simplify (sqrt(832) + -2 + -1 - (sqrt(832) + 2)*-3)**2*-1. -13321 - 192*sqrt(13) Simplify (sqrt(128)*-1 + sqrt(8)*-2*-5)/(-5*(sqrt(4) + sqrt(20)/sqrt(5))*-1). 3*sqrt(2)/5 Simplify ((-2*(sqrt(119) + -2*sqrt(119) + sqrt(119) + sqrt(119) - sqrt(119) - sqrt(119)))/sqrt(7) - ((sqrt(2057) - (-3 + sqrt(2057))) + 3)) + 2. -4 + 2*sqrt(17) Simplify ((sqrt(76) + 2 + -5)*-2*-5)**2. -1200*sqrt(19) + 8500 Simplify ((2*(sqrt(297) - (2*sqrt(297) + sqrt(297))))/sqrt(9))/((sqrt(264)/(sqrt(33)/sqrt(3)))/sqrt(8)). -4*sqrt(11) Simplify ((sqrt(77) + (sqrt(77) + (2*sqrt(77) - sqrt(77)))*-2)*2)/(-2*(sqrt(7) - (sqrt(252)/sqrt(4) + sqrt(7)))). -sqrt(11) Simplify (2 + (sqrt(162)*-1 - sqrt(162)))**2 - (-2*sqrt(98) + 0). -58*sqrt(2) + 652 Simplify ((sqrt(72) + (sqrt(2) + 0)*-2 + (-2 + sqrt(162))*-6)*6)**2. -43200*sqrt(2) + 185184 Simplify ((3 + -6*sqrt(272)*3)*-6*3)**2 + -5. -139968*sqrt(17) + 28556383 Simplify (-5*(4 + sqrt(833) + -3 + sqrt(833))*-3)**2 + -4. 6300*sqrt(17) + 749921 Simplify ((sqrt(450) + sqrt(450)*-2)*-1)/(sqrt(90)/(sqrt(144)*3)). 36*sqrt(5) Simplify 1*(sqrt(209)/(sqrt(55)/sqrt(5)*3) + -5 + 5)**2. 19/9 Simplify -2*sqrt(49)/(sqrt(7)*-3) + -4 + 1*3*sqrt(7). -4 + 11*sqrt(7)/3 Simplify -1*(4*-2*sqrt(121))/(4*(sqrt(11) + (sqrt(11) - (sqrt(11) - (sqrt(11) - sqrt(88)/sqrt(8)))))). 2*sqrt(11) Simplify (sqrt(44) + -2*sqrt(176) + sqrt(44) - sqrt(176)/sqrt(4)*3)/(2*sqrt(400) - sqrt(16)/(1*sqrt(4))). -5*sqrt(11)/19 Simplify -3 + 4*(-6*1*sqrt(320) + 1). -192*sqrt(5) + 1 Simplify (sqrt(312)/(sqrt(56)/sqrt(7)))/(-5*3*sqrt(3)). -sqrt(13)/15 Simplify (-3*-5*((sqrt(13) - (sqrt(13)*4 + -1)) + sqrt(208) + -4)*2)**2. -5400*sqrt(13) + 19800 Simplify (4*(-5 + (-3*(sqrt(136) + 1*sqrt(136)))/(sqrt(72)*-2 + sqrt(72)) + -5))**2. -640*sqrt(17) + 2688 Simplify -2*((sqrt(10)/(-2*sqrt(2)))**2 + sqrt(100)/sqrt(5)) + (sqrt(605) + 0 + -3 - -1*1*sqrt(605))**2. -136*sqrt(5) + 4853/2 Simplify ((-1*sqrt(100))/sqrt(10))/(sqrt(2) + 1*sqrt(6)/sqrt(3) + sqrt(2))*-1 + 2. sqrt(5)/3 + 2 Simplify sqrt(7) + (-2*sqrt(700))**2 + -3 + sqrt(42)/(sqrt(1350)/sqrt(9) + sqrt(6)). 7*sqrt(7)/6 + 2797 Simplify (sqrt(720) + (1 + (sqrt(720) - (sqrt(720)*-4 + sqrt(720) - sqrt(720))))**2)*-5*-6*3. 11880*sqrt(5) + 1620090 Simplify -5 + -3*(-6*(-1*sqrt(15) - sqrt(15)))/(sqrt(81)/sqrt(3)). -12*sqrt(5) - 5 Simplify (-2 + 3 + 1 + sqrt(171))**2 + 2. 12*sqrt(19) + 177 Simplify ((3*(sqrt(150)*3 - sqrt(150)) - sqrt(150))/sqrt(5))/((sqrt(10) + sqrt(40)/(sqrt(20)/sqrt(5)) - sqrt(10)) + -1*sqrt(640) + sqrt(640)). 5*sqrt(3) Simplify (-1 + sqrt(11) + 0 - (sqrt(275) + 1) - (1 + sqrt(44)/sqrt(4) + 1))**2. 40*sqrt(11) + 291 Simplify (-3*sqrt(272) + -1)**2 + sqrt(68)/(1*sqrt(4)*2). 49*sqrt(17)/2 + 2449 Simplify ((4 + sqrt(38)/sqrt(2))*4*-4)**2 - ((-4*sqrt(114)*-1 - sqrt(114)) + sqrt(114))/(-1*sqrt(864) + sqrt(6)). 22532*sqrt(19)/11 + 8960 Simplify -4*((((sqrt(119)*-2 +
{ "pile_set_name": "DM Mathematics" }
er when k is divided by 19? 17 Suppose -71 - 73 = 4*y. Let f = -5 - y. What is the remainder when f is divided by 14? 3 Let b(t) = t**2 - 21*t - 39. What is the remainder when (122 - (1 - -2)) + -2 is divided by b(23)? 5 Suppose 385 = 3288*m - 3281*m. Calculate the remainder when m is divided by 37. 18 Suppose -3*d = -4*y - 19, 7*y = 4*y - 2*d - 10. What is the remainder when 6/(-4) - (626/y + -1) is divided by 53? 50 Suppose -y = -p + 3*y - 26, 32 = -2*p + 4*y. Let h(r) = -r**2 - 9*r - 11. Calculate the remainder when 2*9 + 0/8 is divided by h(p). 4 Let k(m) = 12*m. Let z be k(-1). Let y = z + 19. Calculate the remainder when 2/4*2 + 25 is divided by y. 5 Let v be 1/((-1)/(-6)*-3). Let c = 48 - 30. Calculate the remainder when c is divided by ((-1)/v)/((-4)/(-56)). 4 Let u(j) = j**2 - 4*j - 2. Let w be u(5). Suppose -w*i - 1 = -b - 0*i, -2*i + 25 = 3*b. What is the remainder when b is divided by 1 + ((-2)/10)/(3/(-15))? 1 Let d(v) = 25*v - 346. Calculate the remainder when d(23) is divided by 16. 5 Let d = 20 - 16. Let p be (-80)/30*(-81)/d. Suppose -5*s = -p - 86. Calculate the remainder when s is divided by 10. 8 Let i = -112 - -118. Let r = 4 + -2. Let n = i - r. Calculate the remainder when 14 is divided by n. 2 Let t be (-10)/(-4)*3/((-3)/2). Let g(i) = -14*i - 56. What is the remainder when 43 is divided by g(t)? 1 Calculate the remainder when (495/(-180))/(1/(-12)) is divided by 25. 8 Let d(y) = 9*y - 2*y + 7*y + 2*y - 10 - 2*y**2. Let q be d(7). Suppose 4*t = q*o + 40, 2*o - 16 = -4*t + 2*t. What is the remainder when t is divided by 3? 0 Suppose 0 = 14*z - 18*z. Suppose z = 7*y - 44 - 250. Calculate the remainder when y is divided by 15. 12 Suppose 3*v + 0 = 9. Suppose v*w - 70 = 4*s, 5*s = -5*w - 0*s + 70. Calculate the remainder when 65 is divided by w. 11 Let l = -9 - -16. Let v = 16 - l. Calculate the remainder when 120/v + (-6)/(-9) is divided by 6. 2 Let z = 7 - 4. Suppose -29 = -z*y + r + 4*r, -4*r = -2*y + 16. Let x = 36 - y. Calculate the remainder when x is divided by 7. 4 Let p(h) = 2*h - 23. What is the remainder when ((-11)/(-4))/((-2)/(-48)) is divided by p(20)? 15 Let w be 6/3*2 + 1. Suppose 3*r - 33 = -3*f, -w*r + 37 = 3*f - 6. What is the remainder when f is divided by 4? 2 Suppose -4*s + 216 = 4*t, -76*s + 78*s - t = 114. What is the remainder when 221 is divided by s? 53 Suppose 52 = s + 5*z, 11*s = 6*s - 2*z + 375. What is the remainder when 119 is divided by s? 42 Let o = -12 + 16. Suppose o*q - 5 = 3*q. Suppose q*h - 54 = 21. Calculate the remainder when h is divided by 6. 3 Suppose 3*y + 11 = -w + 174, -3*y + 4*w + 143 = 0. Let l = y - 41. What is the remainder when 20 is divided by l? 8 Let f(t) = -23*t. Let p be -2*4/(-8) + 4. Suppose -p*q + 10 = -7*q. Calculate the remainder when f(q) is divided by 29. 28 Let w be -1*1 - (-10 + (0 - -5)). Suppose -9*i = -w*i - 85. What is the remainder when 63 is divided by i? 12 Suppose 2*o - 6 = 2*v, -4*v = 9 + 3. Suppose -l - 3 = -o. Calculate the remainder when 27 is divided by 82/6 + (-1)/l. 13 Suppose 3*q = 2*q + 45. Let m(b) = 2*b**2 - 35*b - 19. Let a be m(18). Let v(s) = -12*s**3 + s + 1. What is the remainder when q is divided by v(a)? 9 Suppose 0 = -18*a - a + 3306. Calculate the remainder when a is divided by 10. 4 Suppose -4*l - 3*i = -6*i - 2, 2*l = -5*i + 14. Suppose -l*g + 108 = g. Calculate the remainder when g is divided by (-120)/(-9) + (-1)/3. 10 Let f(i) = -20*i. Let u(p) = p**3 + 13*p**2 + p + 12. Let a be u(-13). Let y(q) = 5*q + 1. What is the remainder when f(a) is divided by y(2)? 9 Let m = 119 + -30. What is the remainder when m is divided by 3? 2 Suppose -2*v - 16 = -22. Suppose -2 = -v*r + 4. Suppose -5*f = -f - 8, -3*o - r*f = -70. What is the remainder when o is divided by 6? 4 Let g = 22 - 16. Suppose 0 = -3*r - 3*f + g, -4*r + 3*f + 5 - 4 = 0. Calculate the remainder when r/(-4) - (-330)/8 is divided by 14. 13 What is the remainder when (29760/(-28))/(-3) + 16/(-56) is divided by 71? 70 Suppose 5*s + 29 = 4*d + 69, 0 = -s - d + 17. Calculate the remainder when 155 is divided by s. 11 Suppose 4*y + 131 = -m + 508, 0 = 2*y + 5*m - 211. Suppose 27 = 6*w - y. What is the remainder when 0 + -4 + 0 + w is divided by 7? 2 Suppose 3*i - 4*s - 110 = s, 0 = 5*i - 4*s - 205. Suppose -20*v - 30 = -25*v. Suppose -v*w = -w - i. Calculate the remainder when 33 is divided by w. 6 Let k = 318 - 294. Calculate the remainder when 32 is divided by k. 8 Let f be (-1 - 1)/(-2) - -6. Suppose -v = -f*v + 24. Calculate the remainder when 10 is divided by v. 2 What is the remainder when (-4)/(-18) - (4522/(-63) - 0) is divided by 39? 33 What is the remainder when 54 is divided by -1 + 0 - (-34 - 0)? 21 Let v(f) = f + 2. Suppose 8*z = 3*z + g + 40, 0 = -4*z + 3*g + 43. Let l be v(z). Suppose 2*m - l = 3. What is the remainder when 33 is divided by m? 3 Suppose 44 = 2*h - b, -10*b = -7*b. What is the remainder when 152 is divided by h? 20 Suppose 0 = -9*v + 5*v + 64. Let i be -1 - ((-9)/3)/1. Suppose i*q = q, 2*c - 122 = -3*q. Calculate the remainder when c is divided by v. 13 Let y = -16 - -20. Suppose 655 = r + y*r. Suppose -4*g - 4*p + 192 = 0, 0 = 3*g + 5*p - r - 19. Calculate the remainder when g is divided by 16. 13 Let r(j) = 40*j + 51. What is the remainder when r(7) is divided by 85? 76 Let x(g) = g**2 + 3 - 10*g - 2*g**2 - 2*g**2 + 5*g**2. Suppose -3*t + t = -5*f + 16, 2*t = 4. What is the remainder when x(6) is divided by f? 3 Let a(d) = -d + 13. Let o(k) = -7*k**3 + k**2 - k. Let m be o(1). Let w = 2 - m. Calculate the remainder when a(-3) is divided by w. 7 Let i(u) = 2*u**2 - u - 3. Let o = -67 - -57. What is the remainder when i(-4) is divided by 3*177/45 - 2/o? 9 Let z be (27*3/15)/((-7)/(-35)). What is the remainder when 50 is divided by z + (-3)/3 + 1? 23 Suppose g - 56 = 15*g. Calculate the remainder when -1 + g - (-1045)/5 is divided by 16. 12 Let o = -959 - -976. What is the remainder when 98 is divided by o? 13 Let c(j) = 8*j**3 + 2*j**2. Let m be c(2). Suppose 8*a - m = 4*a. Suppose -46*o + 3825 = 34*o - 5*o. Calculate the remainder when o is divided by a. 15 Suppose -w = -7*w + 474. Suppose 0 = -3*h - 5*z + 58, h + 5*z = -3*h + w. What is the remainder when 73 is divided by h? 10 Suppose -2*s = p - 65, 3*p + s = 8*p - 292. Calculate the remainder when p is divided by 20. 19 Let t(y) = -54 - 2*y**2 + 3*y**2 + 53 - y. Calculate the remainder when 34 is divided by t(-4). 15 Suppose 4*a - 116 = -0*a. Suppose 0 = 4*t + 34*b - 36*b - 564, 4*b = -3*t + 445. Calculate the remainder when t is divided by a. 27 Let f = -2 + 3. Let c(d) = 14*d**2 - d + 1. Let i(n) = 11*n**2 + 264*n + 4. What is the remainder when c(f) is divided by i(-24)? 2 Let u = 28 - 30. What is the remainder when -90*(-1 - 1/u) is divided by 24? 21 Let p be 1/1 + 11 + -21. Let d be (-9)/(-6)*(-120)/p. Suppose 22*z = d*z + 36. Calculate the remainder when 69 is divided by z. 15 Suppose -7*m + 1700 = -5*m. Let f be m/119 - 1/7. What is the remainder when 15 is divided by f + -4 + 10 + -4? 6 Let b(k) = -7 + 3 - 2 - 46*k + 34*k. Let f be b(9). Let n = 165 + f. What is the remainder when n is divided by 13? 12 Let k(o) = -3*o - 29. Let n = -24 + 12. What is the remainder when 54 is divided by k(n)? 5 Suppose 0 = 6*s - 2*s - 272. Let y be 1/1 - 6*-1. Suppose -5*f = -y*f + 28. What is the remainder when s is divided by f? 12 Let q = -141 - -178. Calculate the remainder when q is divided by 14. 9 Suppose 0 = 3*s - 3*f - 6, 0 = -2*s - 2*f + 3*f + 7. Suppose 4*n - 72 = j, -s*n + 37 = -j - 53. What is the remainder when 69 is divided by n? 15 Let w = -14 + 21. Suppose 2*j - 1 = w. Suppose 0*x = -8*x + 56. What is the remainder when x is divided by j? 3 Let y = -461 - -505. Calculate the remainder when 351 is divided by y. 43 Suppose 0 = 6*m - 20 - 4. Suppose m*q - 40 = 4*f, 0*q + 4*q + f - 45 = 0. Suppose 5*w - 140 = -40. What is the remainder when w is divided by q? 9 Let r(i) = i**3 - 7*i**2 + 18*i + 9. Let z be 3/2*-2 - -11. Calculate the remainder when r(z) is divided by 44. 41 Let r(o) = o**3 + 18*o**2 + 13*o + 47. What is the remainder when 323 is divided by r(-17)? 93 Let v(k) = -2*k**3 - 58*k**2 + 3*k + 114. What is the remainder when v(-29) is divided by 15? 12 Let u(n) = -3*n**2 - 1
{ "pile_set_name": "DM Mathematics" }
Let 17*f**3 + 36*f**4 + f**3 - 48*f**4 - 12*f**2 + 3*f**5 + 3*f = 0. Calculate f. 0, 1 Let i = -485 - -487. Determine d so that 2*d + 2/7*d**4 + 4/7 + 18/7*d**i + 10/7*d**3 = 0. -2, -1 Find m, given that 6/5 + 4*m + 2/5*m**4 + 12/5*m**3 + 24/5*m**2 = 0. -3, -1 Factor 256*x**3 - 352/3*x**2 - 1/3 + 35/3*x. (3*x - 1)*(16*x - 1)**2/3 Suppose -3*o + 3*i = -3, 5*i = 4*o - 5 + 2. Factor 4/9*y + 2/9 + 2/9*y**o. 2*(y + 1)**2/9 Let h(s) be the first derivative of -s**5/40 + s**4/12 - 6*s - 3. Let m(f) be the first derivative of h(f). Factor m(l). -l**2*(l - 2)/2 Let j(n) be the first derivative of 7*n**3 - 3*n**2 - 16. Solve j(a) = 0 for a. 0, 2/7 Let j(d) = 6*d**4 + 22*d**3 + 2*d**2 - 22*d. Let v(y) = 2*y**4 + 7*y**3 + y**2 - 7*y. Let f(c) = 3*j(c) - 8*v(c). Factor f(i). 2*i*(i - 1)*(i + 1)*(i + 5) Let a(o) be the third derivative of 0 + 0*o - 3/2*o**4 + 3*o**2 + 1/2*o**3 + 9/5*o**5. Factor a(z). 3*(6*z - 1)**2 Let b = -17 - -19. Let -4*i**b + 6*i**2 - 2*i**3 + i**3 - 16*i**4 + 15*i**5 = 0. Calculate i. -1/3, 0, 2/5, 1 Let s be (0 - -1)*5/(-5) - -3. Let h(m) be the first derivative of -1/20*m**4 - 1/15*m**3 - 3 + 0*m + 0*m**s + 1/30*m**6 + 1/25*m**5. Factor h(f). f**2*(f - 1)*(f + 1)**2/5 Find b, given that 6/5*b + 0 - 8/5*b**2 = 0. 0, 3/4 Let z(i) be the first derivative of -i**8/448 - i**7/70 - i**6/40 + i**2 - 2. Let g(t) be the second derivative of z(t). Determine a so that g(a) = 0. -2, 0 Let z(p) = -p**3 - p**2 - p. Let f(j) = -7*j**2 - 7*j. Let w(h) = 13*h**2 + 13*h. Let k(u) = 11*f(u) + 6*w(u). Let y(g) = -3*k(g) - 3*z(g). Solve y(r) = 0. 0 Factor 12*w**4 - 4*w**2 + 4*w**4 - 4*w**3 - 12*w**2 + 4*w + 0*w**3. 4*w*(w - 1)*(w + 1)*(4*w - 1) Let x be (-6)/(-21) + (-150)/(-14). Let m = x + -8. Let -5 + 3*l**2 - 4*l**2 + 3 + m*l**2 = 0. What is l? -1, 1 Factor -2*s - 3*s**2 + 3*s**2 - s**2 + 12 - s**2. -2*(s - 2)*(s + 3) Suppose 4*z = 6*z + 6. Let l(s) = s**2 + 3*s + 2. Let h be l(z). Let 3/2*b**4 - 3/2*b**3 - 1/2*b**5 + 0 + 1/2*b**h + 0*b = 0. Calculate b. 0, 1 Let j(g) be the second derivative of -5*g**4/12 - 5*g**3/2 + 6*g. Suppose j(y) = 0. Calculate y. -3, 0 Let v(n) be the first derivative of 1/4*n**3 - 3/2*n**2 + 9/4*n + 1. Factor v(y). 3*(y - 3)*(y - 1)/4 Let p = -26 - -29. Let q(y) be the second derivative of y**p + 1/12*y**4 + 3*y + 0 + 9/2*y**2. Factor q(w). (w + 3)**2 Factor -1/10*j**4 + 1/10*j**2 + 1/5*j**3 - 1/5*j + 0. -j*(j - 2)*(j - 1)*(j + 1)/10 Determine j so that -2*j**2 - j + 8 + 0 - 2*j**2 - 3*j = 0. -2, 1 Factor 0 - 2/3*h - 2/3*h**3 + 4/3*h**2. -2*h*(h - 1)**2/3 Let b(x) be the third derivative of x**9/332640 + x**8/55440 + x**5/6 + 7*x**2. Let w(v) be the third derivative of b(v). Suppose w(j) = 0. Calculate j. -2, 0 Let t(g) be the second derivative of -g**6/60 + g**4/8 + g**3/6 + 10*g. Find f such that t(f) = 0. -1, 0, 2 Determine y, given that -3/2*y**3 + 0 + y**2 + 1/2*y**4 + 0*y = 0. 0, 1, 2 Let i(x) be the first derivative of x**3/12 + 3*x**2/8 + 8. Factor i(d). d*(d + 3)/4 Let q(m) be the third derivative of m**7/840 - m**6/240 - 9*m**2. Factor q(v). v**3*(v - 2)/4 Let m(g) = 2*g**3 - 11*g**2 - 9*g + 18. Let q be m(6). Find t such that -1/3*t**4 + 0*t**3 + 1/3*t**5 + q + 0*t**2 + 0*t = 0. 0, 1 Let w(y) be the second derivative of -y**5/10 - 5*y**4/12 + y**3/6 + 3*y**2 - 14*y. Determine a so that w(a) = 0. -2, -3/2, 1 Let d(k) be the second derivative of k**6/105 + 3*k**5/70 + k**4/42 - k**3/7 - 2*k**2/7 + 9*k. Factor d(o). 2*(o - 1)*(o + 1)**2*(o + 2)/7 Let b(r) be the second derivative of r**5/50 - r**4/15 + r**3/15 - 11*r. Factor b(f). 2*f*(f - 1)**2/5 Let j(n) be the first derivative of -5/4*n**4 - 1/3*n**3 - 2*n + 5/2*n**2 + 3/5*n**5 - 3. Factor j(z). (z - 1)**2*(z + 1)*(3*z - 2) Let z be (-1 - 0)/(60/9 - 7). What is o in 0 + 2/5*o**5 + 4/5*o**4 + 0*o**z - 4/5*o**2 - 2/5*o = 0? -1, 0, 1 Suppose -4*x = -22 + 6. Let b = 0 - 0. Find s such that 2/7*s**x + 0 - 2/7*s**2 - 2/7*s**5 + 2/7*s**3 + b*s = 0. -1, 0, 1 Let k = -12 + 8. Let c(q) = -q**2 + 2*q - 2. Let t(b) = -b**2 + b - 2. Let l(u) = k*c(u) + 5*t(u). Factor l(f). -(f + 1)*(f + 2) Suppose -2*o - 8 = -6*o. Determine m, given that -143*m**2 + 141*m**o + 2*m**4 - m**3 + m**5 + 2*m - 2*m = 0. -2, -1, 0, 1 Suppose 2*t = -2*i + 2, t - 5*i = -t + 23. Let c(h) be the second derivative of -1/9*h**3 + 1/18*h**t - 3*h + 0 + 0*h**2. Suppose c(p) = 0. Calculate p. 0, 1 Let g(w) be the first derivative of -4*w**3/3 + 2*w**2 - 23. Suppose g(o) = 0. What is o? 0, 1 Let t = 41 - 28. Suppose t*l + 28 = 15*l. Factor -l*d**2 + 8*d - 8/7. -2*(7*d - 2)**2/7 Let m(d) be the second derivative of -d**8/336 + d**7/210 + d**6/40 - d**5/12 + d**4/12 - d**2/2 + d. Let f(r) be the first derivative of m(r). Factor f(a). -a*(a - 1)**3*(a + 2) Factor 0 + 4/9*o + 40/9*o**2. 4*o*(10*o + 1)/9 Let f(r) be the first derivative of 1 + 0*r + 2/15*r**5 + 1/6*r**4 + 0*r**2 - 2/9*r**3 - 1/9*r**6. Factor f(a). -2*a**2*(a - 1)**2*(a + 1)/3 Let i(h) be the first derivative of -8/3*h**2 - 10/9*h**3 - 3 - 8/3*h - 1/6*h**4. Factor i(w). -2*(w + 1)*(w + 2)**2/3 Let d(m) be the third derivative of 0*m**5 + 0*m**7 + m**2 + 0*m**3 + 1/240*m**6 - 1/1344*m**8 + 0*m - 1/96*m**4 + 0. Factor d(u). -u*(u - 1)**2*(u + 1)**2/4 Suppose -50 = -4*g - 5*z - 11, 3*g = -2*z + 24. Let p = -11/2 + g. Determine v, given that -1/2 - p*v**3 - 3/2*v**2 - 3/2*v = 0. -1 Let k = -26/21 - -11/7. Determine z so that -k*z + 1/3*z**3 + 0 + 0*z**2 = 0. -1, 0, 1 Let a = 48 - 42. Let b(k) be the first derivative of -k**4 - 8/3*k**a + 0*k - 24/5*k**5 + k**2 - 2 + 2*k**3. Find g, given that b(g) = 0. -1, -1/2, 0, 1/2 Let n = 5633/2010 + -1/402. Find j, given that 18/5*j**2 - n*j - 4/5 = 0. -2/9, 1 Let o(g) be the first derivative of -11/12*g**3 + g - 1 + 3/2*g**2 - 15/8*g**4 + 5/4*g**5. Factor o(z). (z - 1)**2*(5*z + 2)**2/4 Let t = 0 - -4. Let b be (-2)/t - 18/(-24). Solve b*a + 0 - 1/4*a**2 = 0 for a. 0, 1 Suppose 4*y = 0, 17*y + 20 = 5*p + 15*y. Factor -4/5*b**3 - 6/5*b**2 + 8/5 + 8/5*b + 2/5*b**p. 2*(b - 2)**2*(b + 1)**2/5 Find t, given that 55*t**5 - 55*t**3 + 5*t**4 + 5*t**4 - 60*t**2 + 50*t**2 = 0. -1, -2/11, 0, 1 Let a(n) be the first derivative of 15*n**4/4 + 16*n**3 + 39*n**2/2 + 6*n + 31. Factor a(f). 3*(f + 1)*(f + 2)*(5*f + 1) Factor 17*z**3 + 25 - 55*z**3 + 115*z - 49*z**2 + 19*z**3 + 24*z**3. (z - 5)**2*(5*z + 1) Let s be (-6706)/(-5) - (-4)/5. Factor -500*l**5 - 742*l**3 + 1112*l**2 + 40 + 144*l**3 - 304*l - 8 + 1600*l**4 - s*l**3. -4*(l - 1)**2*(5*l - 2)**3 Let j be 2/3*39/91. Factor -j*n**2 + 6/7*n - 4/7. -2*(n - 2)*(n - 1)/7 Suppose 5*s - 10 + 30 = -5*w, 0 = w + 3*s + 12. Suppose -3*b - b = w. Determine i, given that 2/3*i**2 + 0*i + b = 0. 0 Suppose -2*m + 2 = -2. Let z(i) be the second derivative of 1/6*i**4 + 0*i**2 - 1/15*i**6 + 1/10*i**5 + 0 - 1/3*i**3 + m*i. Determine b, given that z(b) = 0. -1, 0, 1 Factor -i**2 - 1 + 9*i**2 - 4*i**3 + 1. -4*i**2*(i - 2) Let t(m) be the third derivative of -m**5/140 + 3*m**4/56 - m**3/7 - 3*m**2 - 4. Suppose t(s) = 0. What is s? 1, 2 Let a(p) be the first derivative of p**4/20 + p**3/3 + 3*p**2/10 - 9*p/5 - 10. Determine m, given that a(m) = 0. -3, 1 Let d(v) = v**2 - 7*v + 6. Suppose -u + 12 = u. Let s be d(u). Suppose 0 + 1/2*p**2 + s*p = 0. What is p? 0 Let p(r) = 2*r - 2. Let q be p(-4). Let n be -10*(4/q)/1. Let 1/2 - g**5 - g**2 + 1/2*g**n - g + 2*g**3 = 0. Calculate g. -1, 1/2, 1 Suppose -24 = -3*l - 3*z, -3*z + 17 = 2. Let o be 6/(-3)*l/(-10). Factor 2/5*h**3 + 1/5*h**5 - 2/5*h**2 + o*h**4 - 3/5*h - 1/5. (h - 1)*(h + 1)**4/5 Let r = -5 - -9. Let x(v) be the first derivative of 0*v - 2/45*v**5 + 0*v**2 + 1/18*v**r + 0*v**3 - 1. Solve x(f) = 0. 0, 1 Suppose -37*m = -21 + 21. Solve -1/6*x**4 + 0 + m*x + 0*x**2 + 1/6*x**3 = 0 for x. 0, 1 Let f(a) be the second derivative of a**5/50 - 3*a**4/10 + 8*a**3/5 - 16*a**2/5 - 19*a. Solve f(k) = 0 for k. 1, 4 Let h be (-12)/(-3)*-1 - -4. Suppose -2*l + 5*l = h. Factor l + 0*t + 2/3*t**2. 2*t**2/3 Let z be (-2)/5 - 14/(-35). Let k be z - (5/(-3) - -1). Factor 0*i + 2/3*i**5 + 0 + 2*i**4 + k*i**2 + 2*i**3. 2*i**2*(i + 1)**3/3 Find k, given that -1/2*k + 1/2*k**2 + 1/2*k**3 + 0 - 1/2*k**4 = 0. -1, 0, 1 Let j = 135/4 - 33. Find o such that -j*o**2 - 3/2*o**3 + 0 + 3/4*o = 0. -1, 0, 1/2 Let v(y) be the second derivative of -y**4/42 - 4*y**3/21
{ "pile_set_name": "DM Mathematics" }
nd the second derivative of 233*b**2*h**2 - 87*b**2*h wrt h. 466*b**2 Find the third derivative of -2*p**4*v - 60*p**3*v + 7*p**2*v - 11*p**2 wrt p. -48*p*v - 360*v What is the second derivative of -66*i**3*r**3 + 13*i**3*r - 9*i*r + r**3 wrt r? -396*i**3*r + 6*r What is the first derivative of -2*b*d*j**2*o - 73*b*d*o + b*d - 2*b*o - 20*d*j**2 - d - 2*j**2*o wrt j? -4*b*d*j*o - 40*d*j - 4*j*o Find the third derivative of -3*m**2*p*z**2 - 9*m**2*z**3 + m*p*z**3 - 28*m*p*z**2 - p*z**3 + 2*p*z wrt z. -54*m**2 + 6*m*p - 6*p Find the third derivative of 959*k**5 + 2602*k**2. 57540*k**2 Differentiate -430*m**2*o + 96*m**2 - 2*m*o**2 + m wrt o. -430*m**2 - 4*m*o Find the second derivative of 15623*h**3 + 17662*h wrt h. 93738*h Find the second derivative of -24*i**2 + 297*i wrt i. -48 Find the third derivative of -48*r**3*x**3 + 2*r**3*x**2 - 2*r**2 - 541*x**3 wrt r. -288*x**3 + 12*x**2 Find the first derivative of 5831*d**4*i**2 - d**2*i**3 + 4706*i**3 + 2*i + 1 wrt d. 23324*d**3*i**2 - 2*d*i**3 What is the second derivative of -27*y**2 - 4*y - 12 wrt y? -54 Find the third derivative of 10*c**2*h**4 + c**2*h**3 + c**2*h**2 - 54*c**2*h + 2*h**5 wrt h. 240*c**2*h + 6*c**2 + 120*h**2 What is the third derivative of -5428*u**3 - 239*u**2 - 12*u? -32568 Find the first derivative of -2*j**4*l**2 + 207*j*l**3 + 2*l**3 + 44*l wrt j. -8*j**3*l**2 + 207*l**3 What is the second derivative of -46*s**5 + 259*s? -920*s**3 Find the second derivative of -177*o**5 + 2*o**3 - 2*o - 636 wrt o. -3540*o**3 + 12*o Find the second derivative of -5*l*x**2 - l*x - 51*l - x**2 wrt x. -10*l - 2 Find the first derivative of -3*o*y - 29*o + 2*y + 4 wrt o. -3*y - 29 Find the third derivative of 435*d**3 + 477*d**2. 2610 What is the third derivative of -370*c**5 + 14*c**2 - 10? -22200*c**2 What is the derivative of -39*b**3*i - b**2*i - b**2 - b*i + 41*i + 56 wrt b? -117*b**2*i - 2*b*i - 2*b - i Find the second derivative of -9003*u**3 - 17*u + 237 wrt u. -54018*u Find the first derivative of -15*n**3 + 147*n**2 + 13269 wrt n. -45*n**2 + 294*n Find the first derivative of 2*n**2*p - 37*n**2*u - n*p*w - 78*p*u*w + u wrt n. 4*n*p - 74*n*u - p*w Find the second derivative of -30*u**5 - 40*u**3 - 2*u + 1178. -600*u**3 - 240*u Find the first derivative of -3*g**3*v**2 + 15*g**2*v**2 - 2*g*v + 74*v**2 + 1 wrt g. -9*g**2*v**2 + 30*g*v**2 - 2*v Find the second derivative of 1026*m**2 + 1193*m wrt m. 2052 What is the third derivative of -2*c**5 - 524*c**4 + 20*c**2 + 11? -120*c**2 - 12576*c Find the first derivative of -2*n**3 + 33*n**2*u**2 + 852*u**2 wrt n. -6*n**2 + 66*n*u**2 Differentiate -75*d**2 + d - 11734. -150*d + 1 Differentiate 8033*x*y + 10879*y wrt x. 8033*y Find the third derivative of 6*t**4 + 10*t**3 + 2*t**2 + 487. 144*t + 60 What is the third derivative of -17715*w**3 - w**2 + 83*w + 2? -106290 Find the second derivative of 642*c*k*l**2 + 216*c*k*l - 2*c*l + 3*k*l - l**2 wrt l. 1284*c*k - 2 Find the second derivative of -185*y**2 - 125*y - 9. -370 What is the third derivative of 2*d**4*j + 2*d**4 + 20*d**3*j + 268*d**2*j wrt d? 48*d*j + 48*d + 120*j Differentiate -c**3 + 2*c*o**2 - 3*c*o*q - o**2 + 65*o*q wrt c. -3*c**2 + 2*o**2 - 3*o*q Find the third derivative of -a**5*s + 44*a**5 - a**3*s - 8*a**2*s - 4*a**2 wrt a. -60*a**2*s + 2640*a**2 - 6*s What is the third derivative of 5*i**2*t**3*y**2 - i**2*t**2*y + 2*i**2*y**2 - 2*i*t**3*y**3 - i*t**3 + 13*i*y**3 wrt t? 30*i**2*y**2 - 12*i*y**3 - 6*i Differentiate -15*h**2 - 3*h - 81. -30*h - 3 Find the second derivative of -2*n**2*p**3*q + 5159*n**2*q + 2*n*p**3*q - 12*n*p**2 + 2*p**3*q wrt n. -4*p**3*q + 10318*q Find the third derivative of -3438*n**6 + 418*n**2 - 2*n + 1. -412560*n**3 What is the derivative of 123*h*k - 7*h - k + 20 wrt k? 123*h - 1 Find the second derivative of 14*g**2*k**2 - g**2*k*l**3 + 96*g*k*l**3 + 2*k**2*l**3 wrt g. 28*k**2 - 2*k*l**3 Find the third derivative of 6*a**5 + 117*a**4 - 1123*a**2 wrt a. 360*a**2 + 2808*a What is the second derivative of 470*y**2 - 23*y - 6 wrt y? 940 Find the third derivative of -c**5 + 4008*c**4 + 3166*c**2 - 2. -60*c**2 + 96192*c Find the third derivative of 302*b**3*p**4 + b**3*p**3 - 3*b**3*p - 2*b*p**2 - p**2 wrt p. 7248*b**3*p + 6*b**3 What is the third derivative of -14*j**5 - 2*j**3*p**2 + 57*j**3*p - j**2*p - j*p**2 + 40*j wrt j? -840*j**2 - 12*p**2 + 342*p What is the third derivative of 86*g**3*k**3*x - 13*g**3*k**2*x - g**3*k**2 + 2*g*k**2 + 4*g*x - 2*k**3*x wrt k? 516*g**3*x - 12*x What is the second derivative of 175*f**3 + 123*f wrt f? 1050*f What is the second derivative of 1541*f**2*p + 7*f**2 + f*p - 2860*p wrt f? 3082*p + 14 Find the third derivative of -1257*q**3 + 2115*q**2. -7542 Differentiate 2*m**2*r**2 - 246*m**2 + m - 14*r**4 wrt r. 4*m**2*r - 56*r**3 Differentiate 2*s**3 - 422*s - 979 wrt s. 6*s**2 - 422 What is the first derivative of -2*i**3 - 3391*i*u**2 + 8*u**2 - 734 wrt i? -6*i**2 - 3391*u**2 Differentiate 170*g**2 - 26*g + 7949 wrt g. 340*g - 26 Differentiate 655*f**4 + 147 wrt f. 2620*f**3 What is the first derivative of 3*f**2 - 5*f - 164? 6*f - 5 What is the derivative of 455*c*u*z + 2*c*u + 96*u*z + u - z wrt c? 455*u*z + 2*u What is the third derivative of 11*g*l**5 - 3*g*l**4 - 1173*g*l**2 - 2*g wrt l? 660*g*l**2 - 72*g*l Find the third derivative of 8636*o**5 - 5*o**2 + 84*o wrt o. 518160*o**2 What is the derivative of -3585*r**4 - 610? -14340*r**3 Find the first derivative of -89*g**2 - 61 wrt g. -178*g Find the second derivative of -2*l**3*n**2 - 1960*l**3 + l**2*n*t + 3*l*n*t - 3*n**2 + n*t + 11 wrt l. -12*l*n**2 - 11760*l + 2*n*t Differentiate 2*c**2 - 200*c + 1402. 4*c - 200 Find the first derivative of -m**2*q + m**2*z + 25*m**2 + 10*m*q + 3*q*z wrt q. -m**2 + 10*m + 3*z What is the first derivative of 80*c*l*r**2 + 4*c*l + 6*c - 2*r**3 wrt r? 160*c*l*r - 6*r**2 What is the second derivative of -a**2*b*w + 12*a**2*b + 3*a**2*w**2 + 3*a*b*w + 4*b - 2*w**2 wrt a? -2*b*w + 24*b + 6*w**2 Find the third derivative of s**6 + 140*s**5 - 11*s**4 - 2*s**2 - 356*s + 3 wrt s. 120*s**3 + 8400*s**2 - 264*s Find the third derivative of 63*i**2*p**4 + i**2*p**2 - 645*i**2 - 9*i*p**6 wrt p. 1512*i**2*p - 1080*i*p**3 Find the second derivative of -d**4 + 1421*d**2*o + 14*d*o + 8*o - 10 wrt d. -12*d**2 + 2842*o What is the derivative of 3*m**4 + 18*m*x + 38*x wrt m? 12*m**3 + 18*x Differentiate -302*i**4 + 350. -1208*i**3 Differentiate -5*f*p**3*q - 3*f*p**3 + 12*f*p + 7*p**3*q**2 + 6*p + 2*q**3 wrt q. -5*f*p**3 + 14*p**3*q + 6*q**2 Find the third derivative of -590*c*l**3 - 143*c*l**2 + c wrt l. -3540*c What is the third derivative of -409*f**3*n**3 + f**3*n*t - 2*f**2*n**3*t + 26*f*n**2*t - n**2*t wrt n? -2454*f**3 - 12*f**2*t Find the second derivative of -s**2*t*x + s**2*t - 30*s**2*x + 634*s*x - 2*t*x + 2*t - x wrt s. -2*t*x + 2*t - 60*x What is the third derivative of 4438*m**3 + 1720*m**2 wrt m? 26628 What is the third derivative of 88*k**6 - 29*k**4 + 21*k**2 + 12*k + 5? 10560*k**3 - 696*k Find the second derivative of -30*t**5 - 7*t**3 + 7727*t wrt t. -600*t**3 - 42*t Find the third derivative of 20*q**6 + 12*q**3 + 2*q**2 + 114*q wrt q. 2400*q**3 + 72 Find the third derivative of -9*g**3*n - 45*g**3 + 33*g**2 + 10*n wrt g. -54*n - 270 What is the second derivative of 16677*a**2 - 12429*a wrt a? 33354 Differentiate 2*b*l**3*m**2 + 5*b*l**3 + 8*b*l - 2*l**3*m - 72*l**2*m**2 - 2*l**2*m with respect to b. 2*l**3*m**2 + 5*l**3 + 8*l What is the first derivative of -1299*l*z + 86*z + 3 wrt l? -1299*z Find the third derivative of 42*d*j**3 - 5*d*j**2 - 11*d*j + 166*j**3 wrt j. 252*d + 996 Find the second derivative of 2135*x**3 - 13*x + 14 wrt x. 12810*x What is the second derivative of -6*j**3 - 25*j**2 + 42*j wrt j? -36*j - 50 Find the second derivative of 107*l**5*q**2*y**3 - l**5 + 9*l*q*y**2 - q**2*y - 5*q*y**3 wrt l. 2140*l**3*q**2*y**3 - 20*l**3 What is the third derivative of 7*f*t**3 + f*t + 2*f - 3*t**4 + 2*t**3 + 57*t**2 wrt t? 42*f - 72*t + 12 What is the derivative of -884*v**3 + 21 wrt v? -2652*v**2 What is the derivative of -176*c**2*x**2 + 18*c**2*x - 2966*c**2 wrt x? -352*c**2*x + 18*c**2 Find the third derivative of 2661*j**4 - 2342*j**2. 63864*j Differentiate -9*h**2 + 22*h + 5. -18*h + 22 Differentiate -23*j**3*z
{ "pile_set_name": "DM Mathematics" }
et x be t(k). Let d be 1/(-4) - 42/(-8). Solve 3*n - 7 = d*i - x, -i = -5*n - 27 for i. 2 Let c(z) = -z + 1. Let p be c(4). Let a be (13/(-4) - p)*-8. Solve n = -n, 4*n = -a*v + 6 for v. 3 Suppose 5*b = -3*u + 9, -2*b + 27 - 11 = -5*u. Solve -4*f + b*t + 6 = -10, -12 = -3*f - 4*t for f. 4 Let f be (3/1)/3*5. Suppose 4*r = 15 + f. Solve 2*g = s + 4, 4*g - 20 = s - r*s for g. 3 Let g be 3 + -2 - (-9)/(-3). Let v = 14 + g. Suppose -3*m = v, 2*k + 6*m + 10 = 2*m. Solve -35 = 5*j + k*c, -21 = 4*j + c - 0 for j. -4 Suppose -d + 6*z = 3*z + 7, z + 21 = 5*d. Let q = d + -5. Let v(s) = s**2 + 2*s + 5. Let p be v(q). Solve -3*w + 0*w = -p*l + 11, -5*l = -5 for w. -2 Suppose 198 = 47*q + 19*q. Solve 0 = 2*n + h - 6, q*n + n - 10 = -h for n. 2 Let h = -816 + 822. Solve m = l + h, -24 = 5*l - m - m for l. -4 Let c = 160 - 160. Solve 5*p + 0*p - 5 = 4*n, p - 4*n - 1 = c for p. 1 Let m be 2/(-5) - (-64)/10. Suppose -m - 6 = -4*k. Let n = -750 - -752. Solve 2*r - t = 3, -n*t = r - k*r + 6 for r. 0 Let n = 662 - 658. Let f be (-3 + 3)/(-1 + 2). Solve -2*d + 2*u + 2*u + n = f, -5*u - 15 = -5*d for d. 4 Suppose 2*b - 4*f - 48 = 0, 2*b + 18*f = 14*f + 16. Solve 2*v - 5*j + b = 0, j + 4 = 5*v - 2 for v. 2 Let m(g) = g**3 + 11*g**2 - 14*g - 23. Let h be m(-12). Let a be ((-260)/15)/(h + (-5)/3). Solve 4*i = 2*v - 12, 5*v + 14 = -4*i - a for v. -4 Let a(t) = 5*t + 53. Let w be a(-10). Let n be 30/3*(-6 + 7). Solve -i = w*z, -n + 4 = -2*i for z. -1 Let k be 7 + -5 - 4 - -7. Solve 3*c + 0*w - k = w, 3*w = 4*c for c. 3 Let z = 25 + -18. Let q = z - -3. Let k be -4 - (((-2)/(-2) - 2) + 281 + -287). Solve k*i - 1 = -a + q, 0 = -2*a - 2*i + 14 for a. 5 Suppose 5*y - 2*y - 72 = 0. Let w be 3/y + (-906)/(-48). Solve -5*g + 11 + 10 = -z, 4*g = 3*z + w for g. 4 Suppose h = -8*v + 3*v + 3, h - 3 = -4*v. Suppose 3*r = 4*w + 4*r - 36, v = -r + 4. Let m = -3 + w. Solve 3*u + 0*p = -p + 4, m*p - 20 = -2*u for u. 0 Let a be (-4 + 5)*(-36 + -4). Let h be (2/(-4))/(84/a - -2). Solve -k - 1 = -2*b, -2*k - 3*k = -5*b - h for k. 3 Let b(i) = -12*i + 40. Let t be b(3). Suppose 18*g - 15*g - 15 = 0. Solve g*f = -5*s - 30, s - 5*f - 24 = t*s for s. -3 Let w = -80 - -48. Let q be (-8)/w*4/1. Let z = 6 - q. Solve 0 = -z*d - 0*f + 2*f + 13, -2*f = d + 7 for d. 1 Suppose -4*x + 72 = 8. Let j = x + -14. Suppose 0 = -15*a - 7 + 37. Solve -3*t - a*t = 4*m - 33, 6 = 2*t - j*m for t. 5 Let z(w) = w**2 - 16*w - 15. Let r be z(17). Let m = 8 + -4. Solve k - r - 8 = v, -m*v = -k + 25 for v. -5 Suppose 151 = 59*l - 85. Solve -5*v + 2*q = 3*q + 11, l*q = -3*v - 10 for v. -2 Let r = 3 - 1. Suppose r = -s - 4*z + 11, 4*z = 4*s - 56. Solve -3*d - 24 = 3*t - 0*d, -5*t + 4*d = s for t. -5 Let r(i) = 2*i**2 - 5*i + 4. Suppose 2*d + 47 = -s, 5*d + 0*d + 125 = 5*s. Let c = d + 26. Let n be r(c). Solve -10 = g - 2*g - n*y, -2*g + 10 = 2*y for g. 0 Let g(t) = 2*t**2. Let o be g(-1). Let c be 6 + o - (-9)/(-3). Suppose -3*m = -12*m + 27. Solve -7 = -m*x + c*p, -x - 10 - 1 = 5*p for x. -1 Suppose -2*m + 5*n = 37, 2*n + 1 - 5 = -m. Let h be (5/(-5))/((-1)/m). Let f be h/(-4) - (-8)/(-16). Solve 4*t - 3*r + f = 0, -2*t - r - 10 - 3 = 0 for t. -4 Let d(c) = 6 - 4*c**2 + 5*c**2 + 3*c - 3*c. Let f be d(0). Let o = f - 6. Solve o = -0*b + b + 5*t + 9, 3*b = -4*t - 16 for b. -4 Suppose 5*u = -5*j + 25, -10*u = -15*u - j + 5. Suppose 2*n - 2*r - 8 = -6*r, 0 = 3*n - 5*r - 23. Solve 4*k = 0, u = 2*b - 3*k + n for b. -3 Let d(j) = -j**2 - 2. Let w be d(2). Let o(z) = -2*z - 10. Let r be o(w). Solve -3*q + 8*q + 15 = r*a, -2*q = -4*a - 10 for a. -5 Let b = 1505 + -1505. Solve -2*c + 2 = 0, -2*h - 4*c + 12 + 0 = b for h. 4 Let p be (59 - -1)*(-2)/(-8). Suppose -2*c = 67 - 71. Solve 4*f - c*j = 4, 4*f + 3*j - 9 = p for f. 3 Let c(q) = q**2 - 3*q - 12. Let f be c(6). Let a be 1/(-6) + 55/f. Suppose a*r - 4*r = 120. Solve -7*g + 5*t = -3*g + 25, 5*g + t = -r for g. -5 Let w(r) = r**3 - 10*r**2 - 10*r - 10. Let g be w(11). Let k = 2 + g. Suppose -k*p - 13 = f - 0, p = -2*f - 1. Solve 2*v = -5*b - 7 - 26, -f*b - 26 = 4*v for v. -4 Suppose -1 = -3*a + 8. Suppose -3*h = y + 1, -4*y - 2*h - 3*h = -a. Solve 0 = i - m, -y*i + 2*m + 16 = 4*m for i. 4 Suppose 12*a = 15*a - 36. Let p be 51/a + (1 - (-2)/(-8)). Solve 0 = p*g + u + 3*u + 35, -4*g = -5*u - 13 for g. -3 Suppose 0 = -2*r + 4. Suppose 0 = -0*t - r*t + 6. Suppose -9*o + t*o = -18. Solve 5 = 5*x + 4*v, 3 + 2 = 5*x + o*v for x. 1 Let q(p) = p**3 - 40*p**2 - 34*p - 273. Let i be q(41). Solve 2*y + 10 = 0, -i*m + 9*m + 2*y + 15 = 0 for m. 1 Suppose -16 = -2*x - 2*q, -3*x - 5 = -3*q + 1. Solve 5*m - 5 = -5*i, -m - x*m = -3*i + 3 for m. 0 Let t(l) = -l + 3. Let z be t(-3). Let f be (z/(-3) - -2)/1. Suppose f = -w + 2. Solve -y - 14 = 5*m, -4*m + w*y - 6 - 8 = 0 for m. -3 Let t(m) = m - 2. Let o be t(2). Suppose 5*g + 68 = 113. Let x be (3/(-5))/(1*(-3)/15). Solve o*a - 6 = -4*b - 2*a, x*b - g = 3*a for b. 2 Let w = -260 - -276. Solve -4*v = 5*k + 8 - w, -5*k = -4*v + 8 for k. 0 Suppose -4*i + 4*z + 23 = -9, 2*i - 5*z = 28. Suppose -b = i*b. Suppose g = 4 - b. Solve 0*c - 2*c - 4 = g*y, -8 = 3*y + 4*c for y. 0 Let t = -488 - -488. Solve -2*q + 8 = -4*o, t*q - 7 = 3*o - q for o. -3 Suppose 0 = 4*z - 4, -2*f - 24*z + 26*z + 18 = 0. Solve 4*d = p + 24, p - 1 - f = -3*d for p. -4 Suppose 0 = -6*k + 10*k - 32. Let w(v) = v - 3. Let y be (-4)/22 + 35/11. Let b be w(y). Solve -2*o + 2*x + 2*x = -26, b = o - x - k for o. 3 Let b = 119 + -112. Solve 5*o + 25 = -5*t, -5*o - 14 = 4*t + b for o. -1 Let f = -17 + 40. Let b = -19 + f. Solve b*o - 3*r + 19 = 0, -11 = o - 4*r + 2*r for o. -1 Let o be 46/14 + (-26)/91. Solve 0 = -4*c + 4, o*b - 3*c - 4 = 8 for b. 5 Suppose -4*q = -4*x - 4, -2*x + 4 = -q + 2. Let j = x + -3. Suppose 4*w - w - 66 = j. Solve -5*b + 6 + 0 = 4*g, -5*b = -3*g + w for g. 4 Suppose 4*l = -5*c + 144, -32 = c - 2*c - 4*l. Let h = 37 - c. Let r = -5 + h. Solve 3*s - r*s = 3, 29 = 5*g - 3*s for g. 4 Let g(v) = v**2 - 12*v + 7. Let x be g(12). Let l = 8 - x. Let f be l/4 + (-5)/20. Solve 4*p + f - 3 = r, -12 = 4*r for p. 0 Let b(z) = -z + 2. Let v be b(-2). Let p = -10 - -11. Suppose 5*l + p - 11 = 0. Solve l*d + 2*n - 16 = 0, d + n = v*n - 8 for d. 4 Let w(t) = t**2 + 2*t - 1. Let v be w(-3). Let q be (-1 + 2/2)/(-2 - -1). Solve q = -3*i + 2*y + 17, v = -3*i + 4*i + 3*y for i. 5 Suppose 2*d - 2*x = x + 77, 0 = -d + 5*x + 35. Suppose v + v = -5*a + d, -4*v = a - 26. Let o = 18 + -13. Solve a = -o*b - 3*w, 5*b = w + 4*w - 30 for b. -3 Let c be 54/45*190/4. Let q = c + -56. Solve -x - q = -2*g + 5, -g + 2 = -x for x. 2 Let i = -22 - -9. Let g = i + 13. Suppose g*x = 4*x. Solve x = 3*f + 12, -3*k + 5*f = -4*k - 25 for k. -5 Suppose 0 = 2*h + 241 - 87. Let b be (44/h)/(1/(-7)). Solve 0 = -b*x - 5*a + 25, -5*x + 5*a - 25 = -8*x for x. 0 Let o be 6/4 - 61/2. Let h = 32 + o. Solve 3*p + 3 = h*m, -2*p + m + 1 = -2*m for p. -4 Let u(s) = 23 + 3*s - 11 - 8. Let y be u(4). Suppose -2*t - 3*m = -y, 2*t - 5*m = 7 + 9. Solve 3*w + 16 = t*w + 4*n, -w + n - 4 = 0 for w. 0 Let n = 0 - 23. Suppose -b = c - 5*c - 74, -17 = c - b. Let r = c - n. Solve 4*i - 40 = -2*f - 2*f, 2*f - r*i + 10 = 0 for f. 5 Suppose -4*k + k = -4*a + 3, -2*a = -2*k. Solve 0 = -u + 2*b, 14 = -a*u - 4*b + 3*b for u. -4 Let p(a) = 0 - 8 - 3 - 2*a - 3. Let f be p(-7). Solve f = -b + 2*m + 12, -3*b = -4*b + m + 8 for b. 4 Suppose 3*s + 5 = 2*m, 17*s - 19*s = -10. Solve 2*f - 3 = -5*g, -2*g = 5*f - 7*f + m for f. 4 Let i(v) = 2*v**2 - 6*v + 5. Suppose 4*w - 33 = -7*w. Let j be i(w). Solve 18 = -4*h - 5*o - 14, j*h + 27 = -3*o for h. -3 Let o(v) = v**3 - 2*v**2 - 3*v + 4. Let k be o(3). Suppose 12 = 3*m, -3*w + 10 + 16 = 5*m. Solve w*d + 3*t = d + 1, 4*d = k*t + 20 for d. 4 Let j be 72/27*(-9)/(-6). Let x(v) = -v**2 + 6*v - 6. Let g be x(j). Solve 3*r + 6 = -2*b - g, -5*b - 3*r = 20 for b. -4 Let x(i) = 14*i - 751. Let q be x(54). Solve -2*k + 7 = p, -5*p = q*k - 24 - 1 for p. 3 Suppose -3 = -3*h, 3*h + 97 = -t + 6*t. Let g = t + -17. Solve 8*s + 5*x + 50 = g*s, x = s for s. -5 Let n(s) be the second derivative of s**5/20 - s**4/6 + s**3/6 - 4*s**2 + 8*s. Let g be n(3). Solve 5*q = 5, -t - q - g = -6*t for t. 1 Let v(j) = -4*j - 10. Let g be v(-2). Let m be (((-715)/10)/13)/(g/4). Solve 5*p + m = w - 15, p = -5 for w. 1 Let v(x)
{ "pile_set_name": "DM Mathematics" }
sqrt(10) + (3*sqrt(90))/sqrt(9)). 2*sqrt(19) Simplify ((-4 + sqrt(432) + 2*sqrt(432)*-3 + 3)**2*6*4 + -4)*2. 5760*sqrt(3) + 518440 Simplify -4*(sqrt(1331) + -3 - sqrt(1331)) + -5 + sqrt(1331) + 5 + 2*((4 + sqrt(1331) + sqrt(1331))*-3)**2*4. 12683*sqrt(11) + 384492 Simplify ((4 + 3*(-2 + sqrt(539) + 4*sqrt(539) + sqrt(539)))*5*-2)**2 + -3. -50400*sqrt(11) + 17463997 Simplify (0 + -3 + (-4 + (sqrt(243)*-3 - sqrt(243)) - ((sqrt(243)*-2 - sqrt(243)) + -5)) + 5)**2. -54*sqrt(3) + 252 Simplify 0 + (sqrt(10)/sqrt(2))**2 + -5 + sqrt(80) - ((sqrt(500) - 1*sqrt(500))*4 + 4)**2. -16 + 4*sqrt(5) Simplify -2*6*(sqrt(7) + sqrt(49)/(sqrt(7) - sqrt(28))) + (5 + sqrt(252)*-1*2)**2 + 5. -120*sqrt(7) + 1038 Simplify (sqrt(2448) + sqrt(2448) + (-4 + (sqrt(2448) - (sqrt(2448) + 0)))**2 - (-5 + sqrt(2448) + (sqrt(2448) + -1)**2))*-4*-4 + -2 + 5. -38845 + 576*sqrt(17) Simplify (4*-5*2*sqrt(1375))/(1*6*-2*sqrt(11)*-5). -10*sqrt(5)/3 Simplify ((sqrt(792) + -5*-1*sqrt(792))*-1)/(sqrt(250)/sqrt(5) + sqrt(12)/sqrt(6)*-4). -36*sqrt(11) Simplify -1 + (((sqrt(1960) - (sqrt(1960) - sqrt(1960)*1)) + sqrt(1960))/(-2*sqrt(200)) - (4 + (2*sqrt(180))**2 + 2)). -727 - 7*sqrt(5)/5 Simplify ((sqrt(150)*2)/sqrt(10) + sqrt(15))/((sqrt(40)*-2)/sqrt(8)) - ((1*sqrt(972))/(sqrt(36)/(sqrt(4)*-2)))**2. -432 - 3*sqrt(3)/2 Simplify -5*(sqrt(20)/sqrt(4) + 4 - (sqrt(5) + 2*sqrt(5) + -4 - sqrt(5)))**2 + (sqrt(40)/sqrt(2) + 5 + -4)**2 + 3. -321 + 84*sqrt(5) Simplify (-4*((sqrt(66) - -6*-2*sqrt(66))*-2)/(6*(sqrt(486)*2 - sqrt(486))))**2. 21296/729 Simplify ((sqrt(200)*3 + -5)**2 - (-1 + (-3*sqrt(200) - sqrt(200)))) + (2 + (-1*sqrt(200)*1 - sqrt(200)) + -4)**2. -180*sqrt(2) + 2630 Simplify -2*(sqrt(17) - -4*(sqrt(272))**2)*-6 + (sqrt(51) + (sqrt(1275) + 2*sqrt(1275) - sqrt(51)))/(sqrt(6)/(sqrt(8)/sqrt(4))). 27*sqrt(17) + 13056 Simplify (sqrt(63)/(sqrt(21)/sqrt(7)))/(sqrt(14)/(sqrt(6)/sqrt(3))) - (sqrt(486)/sqrt(2) - 1*((sqrt(33) + sqrt(132))/sqrt(11))**2). -8*sqrt(3) + 27 Simplify (-3*(-5 + ((sqrt(1331) + 2)*-1 + sqrt(1331) - (4 + sqrt(1331)*5)) + -1)*-1)**2. 11880*sqrt(11) + 300771 Simplify (2 + 1 + 0 + sqrt(432) + sqrt(432) + -5)**2 + (sqrt(432)*-3*2 - 3*sqrt(432)*6)**2 + -2. -96*sqrt(3) + 250562 Simplify -3 + ((sqrt(1584) + -6*1*sqrt(1584) - (sqrt(1584)*2 + 1))**2 - ((sqrt(704) + -2*(sqrt(704) + 1))*2)**2)*1. 40*sqrt(11) + 74782 Simplify (0 + -1 + 2*(5 + sqrt(1008) + 0 + (-4 + 0 + sqrt(1008) - sqrt(1008))) + 1 + 5)**2. 336*sqrt(7) + 4081 Simplify ((sqrt(245) - (sqrt(245)*-2 + sqrt(245))*5)/((sqrt(14)*2)/sqrt(2)))/(-2*sqrt(847)*-2 + 6*(sqrt(847) - (sqrt(847) + (sqrt(847)*2 - sqrt(847))))). -3*sqrt(5)/22 Simplify ((sqrt(72)*-1 + sqrt(72))**2 + -2 + sqrt(72))*2 + -2 - (0 + (-3*sqrt(72)*5 - sqrt(72)))*4. -6 + 396*sqrt(2) Simplify (sqrt(65)/(sqrt(20)/sqrt(4)) + 6*sqrt(26)/sqrt(2) + (-2*(sqrt(13) + 0)**2 - 3*(sqrt(13) + 0))*3)*-4. 8*sqrt(13) + 312 Simplify (4 + 1*sqrt(117) + -4 + sqrt(117) - ((sqrt(117) + 1)*-2 + sqrt(117) + 2*(sqrt(117) + 1) + sqrt(117)))**2 + 1. 1 Simplify ((-3*(sqrt(66)/sqrt(6)*-4 - sqrt(11))*4)**2 - (sqrt(44) - (sqrt(176) - 2*sqrt(176)))/(sqrt(12)/(2*sqrt(3))))*1. -6*sqrt(11) + 39600 Simplify (((sqrt(104) + 2*sqrt(104))*-2 - sqrt(104)*-1*-3)*-4)/(-4*(-2*-1*sqrt(40))/sqrt(5)). -9*sqrt(13)/2 Simplify (sqrt(2178) - 1*sqrt(2178) - sqrt(18) - sqrt(18) - (sqrt(216)*1 + sqrt(216) + sqrt(216))/sqrt(12))/((sqrt(2187)*2)/sqrt(3))*-4. 10*sqrt(2)/9 Simplify ((-2*-2*sqrt(165) + sqrt(165) - sqrt(165))/((sqrt(108)/sqrt(4))/sqrt(9)))/(2*(sqrt(99) - (sqrt(99)*1 + sqrt(99)))*-3). 2*sqrt(5)/9 Simplify ((-3*sqrt(136)*-1*-5*1)/(sqrt(8) + sqrt(88)/sqrt(539) - -4*(sqrt(8) - (sqrt(8) + sqrt(8)*-2))))**2. 187425/4096 Simplify (-2*4*2*sqrt(60))/((sqrt(15) + sqrt(1500)*-2)/(sqrt(75) - (-1*sqrt(75) + sqrt(75) - sqrt(75)))). 320*sqrt(3)/19 Simplify ((-6*(-1 + sqrt(425)) - sqrt(425) - sqrt(425))*-6 - (sqrt(136) + -3*(sqrt(136) + -2*sqrt(136) + sqrt(136)))/((sqrt(96)/sqrt(2))/sqrt(6)))**2. -17208*sqrt(17) + 972353 Simplify (1 + (sqrt(72) + -2*-2*sqrt(72) + sqrt(72) + 4*(1 + sqrt(72)) + 0)**2 + -3)*-4. -28856 - 1920*sqrt(2) Simplify (2 + 4*(sqrt(1573)*2 + -2)*-3)**2*2 + 4. -27456*sqrt(13) + 1813452 Simplify ((5*-1*sqrt(270))/((sqrt(36)/sqrt(4) + sqrt(9))*-2))/((sqrt(54)*-2*1 - sqrt(54)) + sqrt(486)*-1 + sqrt(486)). -5*sqrt(5)/36 Simplify 1*(-3 + ((sqrt(63) + -2 - (sqrt(84)*-2)/sqrt(12))**2 - (sqrt(2268) - (sqrt(2268)*-2 - sqrt(2268) - sqrt(2268)) - sqrt(2268))**2)). -36112 - 20*sqrt(7) Simplify 3 + (2*sqrt(96)/(sqrt(363)*5))**2 + 3 + -4. 6178/3025 Simplify (2 + -4 + (-1 + 5*(-2 + sqrt(180)))*6*-2*4)**2. -1514880*sqrt(5) + 10644676 Simplify 5 + (3 + sqrt(52)/sqrt(4) - (sqrt(832) - (sqrt(832) + 1 - sqrt(832)))) + (sqrt(208)*1*4 + sqrt(208))*3. 9 + 53*sqrt(13) Simplify -4*(-2 + 1 + -2*((sqrt(176) - (sqrt(176) - (sqrt(176)*-2 + 5))) + -3))**2. -11364 + 640*sqrt(11) Simplify ((sqrt(228)/(-3*sqrt(12)) + sqrt(19) + sqrt(19) - (0 + -2 + sqrt(19))) + (0 + sqrt(2736) + -4)*1 + -4)**2. -152*sqrt(19) + 27760/9 Simplify -2 + -5 + -3*-4*-4*((4 + sqrt(17)*-2)**2 + sqrt(17) - (sqrt(17) - sqrt(68)/sqrt(4))*-1). -4039 + 720*sqrt(17) Simplify (-1 + sqrt(98) + -2*sqrt(98)*2 + -1)**2 + ((1*sqrt(18) - sqrt(18))*-4)/(sqrt(108)/(sqrt(12)*2) - sqrt(9)). 84*sqrt(2) + 886 Simplify (-2*(sqrt(891) + (-1 + sqrt(891))*-6 + sqrt(891)))**2 + -1 + (sqrt(891) + sqrt(891) + 2 - sqrt(891)) + -3 + -4. -1719*sqrt(11) + 57162 Simplify ((((sqrt(272) + -1 - sqrt(272))*4 + sqrt(272) - sqrt(272)) + 1 + 2*(sqrt(272) + -2 + sqrt(272) - sqrt(272)) + 0 + -4)*5)**2. -4400*sqrt(17) + 30225 Simplify (-6*sqrt(114)*2)/(sqrt(216)*1) - 2*(sqrt(2736) + 2)*3. -74*sqrt(19) - 12 Simplify 4*((sqrt(78) - -2*(sqrt(78) + (-3*sqrt(78) - sqrt(78))))*6)/(-5*(-1*sqrt(726) + sqrt(726) - sqrt(726))). -24*sqrt(13)/11 Simplify (1 + (sqrt(162) - sqrt(162)*-1)*6 + 3 + 2 + sqrt(162) + -5 + -4)**2. -702*sqrt(2) + 27387 Simplify (2*sqrt(112) + -4 - (sqrt(280)/(sqrt(40)/sqrt(4)))/sqrt(4) - (sqrt(336)/sqrt(8)*-5)/(sqrt(6) - 6*sqrt(384)))**2. -2592*sqrt(7)/47 + 770176/2209 Simplify (sqrt(84)*-5)/(sqrt(6)/(sqrt(2) - sqrt(8))) + sqrt(140)/(-2*(sqrt(5) + sqrt(5)*2)). 29*sqrt(7)/3 Simplify (-2 + sqrt(95)/((sqrt(5) - -4*(sqrt(5)*2 - sqrt(5))) + sqrt(5)) - -1*(sqrt(266)/(sqrt(7) - (sqrt(7) + sqrt(7) + sqrt(63))))/sqrt(2)) + 2. -sqrt(19)/12 Simplify (-1 + -4*sqrt(153)*5)**2 + 2 - (((sqrt(153) + 0 - sqrt(153)) + 3 + 5)*1)**2. 120*sqrt(17) + 61139 Simplify -3 + (-5*6*(sqrt(171) + -2))**2 - ((sqrt(152)/(sqrt(8) + sqrt(128)) - (2 + sqrt(2299))) + -1)**2. -54324*sqrt(19)/5 + 3881796/25 Simplify (5*sqrt(200)/(sqrt(40)/(sqrt(24)/sqrt(6))))/((sqrt(648)*-1)/sqrt(2)*-1). 5*sqrt(5)/9 Simplify 5*(3*((sqrt(405) + (1*(0 + sqrt(405) + sqrt(405)))**2 + (-2*sqrt(405)*-1)**2 + sqrt(405))*-2 + 4) + 2). -97130 - 540*sqrt(5) Simplify (4*(sqrt(432) + 0) - sqrt(432)) + (sqrt(432) + -3 + 1 + sqrt(432))**2 - 3*((2*2*sqrt(432))**2 + sqrt(432) + sqrt(432))*-6. 372*sqrt(3) + 126148 Simplify -1*(-1 + 3*sqrt(68) - 5*-4*sqrt(153))*1. -66*sqrt(17) + 1 Simplify (-4*((sqrt(84) - ((sqrt(84) - sqrt(84)*3)*6 + sqrt(84))) + sqrt(84)))/(-5*(sqrt(192) - sqrt(192)*-4)). 13*sqrt(7)/25 Simplify ((1 + -4*sqrt(343)*2 + sqrt(343) - (4 + (sqrt(343) - (1 + sqrt(343) - sqrt(343))) + sqrt(343) + -4))*5)**2 + 0. -6300*sqrt(7) + 694675 Simplify 1*((5*(sqrt(468)*-2 + sqrt(468)) - sqrt(468) - sqrt(468)) + 3)**2 + -4*(1 + (sqrt(637) - (sqrt(637) + 0))*1). -252*sqrt(13) + 22937 Simplify ((sqrt(66) - (sqrt(66) - -1*sqrt(66)*6 - sqrt(66) - sqrt(66)) - sqrt(66))*-3*-1)/((2*(sqrt(384) - -2*sqrt(384)) - sqrt(384))*-6). sqrt(11)/16 Simplify ((4 + 5 + sqrt(275) + 5*sqrt(275)*-1)*-3*4)**2. -51840*sqrt(11) + 645264 Simplify (-2*sqrt(19))**2*-5*-3 + sqrt(931) + sqrt(931) + sqrt(931) + (1 + 0 + sqrt(931))**2 + 2 + ((sqrt(76)*3)**2 - (-2*sqrt(38)/sqrt(2))**2). 35*sqrt(19) + 2682 Simplify -3 + sqrt(55)/(sqrt(5) + (sqrt(125) - (sqrt(125) + sqrt(125)*-3)) - sqrt(5)) - (sqrt(99)/((sqrt(81) - sqrt(81)*2) + sqrt(9)) + 1)**2. -27/4 + 16*sqrt(11)/15 Simplify 2 + (sqrt(66) + 2*-2*sqrt(66))/(sqrt(42)/(1*sqrt(7))) + 6*(sqrt(132)*-2)/sqrt(12)*-2. 2 + 21*sqrt(11) Simplify -2*(-3 + sqrt(153) + sqrt(153) + (2*sqrt(153) - sqrt(153)) + -4 + 2 + (sqrt(153) - (sqrt(153)*-4 + sqrt(153)))*-4*-6)**2. -2999156 + 5940*sqrt(17) Simplify (-2 + (-2 + sqrt(32) + 1 - sqrt(384)/(sqrt(24)
{ "pile_set_name": "DM Mathematics" }
3284/2415) Simplify c**(-3/10)/(c/(c*c**6)*c)*c*c**(-9/5)*c/((((c*c*c**(-9))/c)/c)/c)*c assuming c is positive. c**(159/10) Simplify (((c**1*c)/c*c**(2/7))/(c/c**(-1))**48)**(-40) assuming c is positive. c**(26520/7) Simplify ((i/i**(-13))**49)**(-3/32) assuming i is positive. i**(-1029/16) Simplify v**(-2/43)*v**(-16)*((v**(-6/13)/v)/v)/(v/(v/v**(-10/3))) assuming v is positive. v**(-25448/1677) Simplify (l**5/(l/(l**9*l)))/(l/l**(6/7)*l/(((l*l**(-2/39))/l)/l)) assuming l is positive. l**(3223/273) Simplify (i/(i**2*i))**(-8/9)*(i/(i/i**16*i))/i**(9/4) assuming i is positive. i**(523/36) Simplify (n/((n*(n**(1/3)/n)/n)/n)*n**(-2/43))/(n*((n*n*n**(1/4)*n*n)/n)/n*n*n*(n*n/(n*n**(1/17)))/n) assuming n is positive. n**(-22553/8772) Simplify ((h/(h*h*h*h*h**(-2/5)/h))**(-48)*(h*h**(-2)*h)**(4/9))**(-25/6) assuming h is positive. h**(-320) Simplify (t/t**4*t)**(-3)/((t/t**(-2/5))/t*t**(3/11)) assuming t is positive. t**(293/55) Simplify (b**31*b*b**7)/((b*b**19)/(b*b*b**(3/2))) assuming b is positive. b**(45/2) Simplify a**(2/5)*a*a/(a*a*a*a/a**13*a)*a*(a/((a/a**2)/a))/a**(-2/5) assuming a is positive. a**(74/5) Simplify (g**2/((g/g**(1/12))/g)*g**(-9)/(g**5/g))**(-1/13) assuming g is positive. g**(131/156) Simplify ((h**(1/7)/h*h*h/(h*((h*h/(h/(h/(h/((h/(h/h**8))/h)*h)))*h)/h)/h)*h)**(-6/29))**9 assuming h is positive. h**(1836/203) Simplify ((u/u**(-1))**(11/6)/(u*u**2*u*u)**(7/3))**(-25/3) assuming u is positive. u**(200/3) Simplify (((j**1*j)/j)/j)**27*((j*(j/(j/(j**(2/17)/j)))/j)/j*j)/(j**(-2/9)/j) assuming j is positive. j**(52/153) Simplify f*f/(f*f**(23/2))*f/(f*f/(f/(f/(f*(f/(f/f**(-2/5))*f)/f))))*f**(-19/3)*(f*f**24)/f assuming f is positive. f**(203/30) Simplify w**(-2/17)*w*w/((w*w/(w**(5/6)/w))/w)*w/(w**19/w)*w**(1/10)/w assuming w is positive. w**(-4382/255) Simplify (t**(-2/45))**(2/21)/(t**(-1/31)*t*t**(2/43)) assuming t is positive. t**(-1282972/1259685) Simplify g**(-3/10)*g**(-7)/g*g*g**(-7/6)/g**(12/11) assuming g is positive. g**(-1577/165) Simplify ((c/(c/(c**(27/4)/c)))/(c*c**(-16/5)/c))/(c*c**14*c*c**39/c*c) assuming c is positive. c**(-921/20) Simplify (k*k**(3/7))**(1/11)/((k/((k**(-6/13)/k)/k*k))/(k**15/k)) assuming k is positive. k**(11680/1001) Simplify (k/(k/(k*k/k**(-5))))**16/((k*k*k**8)/k**14) assuming k is positive. k**116 Simplify ((x**(1/7)/x)/x**11)/((x/x**18*x)/x**13) assuming x is positive. x**(120/7) Simplify (h*(h**12*h)/h*h**(-12)*h/(h/(h**(-3)*h))*h*h**(-4/5))**(-14) assuming h is positive. h**(56/5) Simplify (z*z**4)/(z*(z/(z*z**(3/5)))/z)*z*z**(2/5)/z*z*z*z**(-6) assuming z is positive. z**2 Simplify ((m/(m*m**(-10/7)*m))/(((m**(10/13)*m*m)/m)/m))/(m**(-2)*m**13) assuming m is positive. m**(-1032/91) Simplify o*o**(9/2)*o*o*((o/(o*o**(5/6)))/o)/o*(o**24)**48 assuming o is positive. o**(3470/3) Simplify ((((q**(-2/5)*q)/q)/q)**(-43))**12 assuming q is positive. q**(3612/5) Simplify (((y/(y**0*y))/y)/y)/y**34*(y**4/y*y)/y**(2/53) assuming y is positive. y**(-1698/53) Simplify (((q**(-2/11)/q)**(-3/8))**(-3/34))**(-1/2) assuming q is positive. q**(117/5984) Simplify (h**5*h**(11/3)/h*h)/(h**(-2/17))**(-1/43) assuming h is positive. h**(19000/2193) Simplify (t**(-18)/t)/t**(3/8)*(t/(t*t**(-1/5)))**(-43) assuming t is positive. t**(-1119/40) Simplify (((h/(h*(h**(-28)/h)/h*h))/h)/(h*h/h**(-2/79)))/(h**15)**(-24) assuming h is positive. h**(30492/79) Simplify ((((i**1/i)/i)/i)/((i/(i/(i*i**(-2/3)))*i)/i))/(i**(-2)/(i**(-2/7)*i)) assuming i is positive. i**(8/21) Simplify (n**(-1)/n)**(-19/2)*n**(-2/33)*n/(n**(1/7)*n) assuming n is positive. n**(4342/231) Simplify (l/(l/(l/(l**(-9)/l*l))*l*l))/l*l/(l**(-10)*l)*(l**(-3)/l)**(-1/14) assuming l is positive. l**(121/7) Simplify (k**1)**6/((k*k**(-9))/k)**(-37) assuming k is positive. k**(-327) Simplify (p**(1/3))**44*((p*p**13)/p)/p*p**(4/5) assuming p is positive. p**(412/15) Simplify (a*a/(a**(-17)/a))/((((a/(a/(a**(-2/5)*a)*a))/a*a*a*a)/a)/a)*a*a**24*a**(-10/7) assuming a is positive. a**(1539/35) Simplify (d**(5/13)/d**(-4/7))**33 assuming d is positive. d**(2871/91) Simplify (x/(x/x**3)*x)**(-4/9)/((x**(-16/5)/x)/x**(1/5)) assuming x is positive. x**(118/45) Simplify (h**4*h*h*((h**(6/7)/h)/h)/h*(h/h**4)/(h*h*h/(h*h**(-1/4))))**(-25/2) assuming h is positive. h**(975/56) Simplify ((x/((x*(x/(x/x**7))/x)/x))/x)**(-7/3)*(x*(x**9/x)/x)**43 assuming x is positive. x**358 Simplify w**(2/37)*w**(-9)/w*w*w/(w**(-1/9)/w)*w/(w/(w/w**13)) assuming w is positive. w**(-6272/333) Simplify (c/((c/c**2)/c))**(-17)/(c**(-35)*c*c*c**(4/5)) assuming c is positive. c**(-94/5) Simplify ((q*q**(-1/4))/q*q*q)**(-15/2)*(q/(q/(q*q**(-6))))/(q/(q*(q**(2/9)/q)/q)) assuming q is positive. q**(-1433/72) Simplify ((r/r**(-14))/r**(3/8))/(r**(-3)/r)**25 assuming r is positive. r**(917/8) Simplify (i*i**16)**2/(i/(i/i**(2/11))*i**(2/7)*i*i*i) assuming i is positive. i**(2351/77) Simplify f**(2/7)*f**0*f/(f/f**(-6))*f**(-1/10)/f assuming f is positive. f**(-477/70) Simplify (u*u/u**13)/u**(-18)*((u/u**(9/4))/u)/u*u**39 assuming u is positive. u**(171/4) Simplify (u**(-2/7))**(-25)/(u/(u**(-9)/u*u))**(2/47) assuming u is positive. u**(2210/329) Simplify ((s**2*s)**7/(s**(2/7)*s*s**(-4)*s))**(-48) assuming s is positive. s**(-7632/7) Simplify (k**(2/3)/(k*k**(-3)))/((k/k**(-16))/k*k**(-1/4)) assuming k is positive. k**(-157/12) Simplify (z/(z**(2/31)*z))**(-5/2)*z**(-33)/z**(-22) assuming z is positive. z**(-336/31) Simplify (m**(2/5)/m**(9/2))**(-14/11) assuming m is positive. m**(287/55) Simplify ((b/(b*b*b**2*b)*b**(-2/17)/b)/(b**(-1)/(b/((b**5*b)/b))))**31 assuming b is positive. b**(-4278/17) Simplify f*f/(f*f**(-22)*f)*f*f*f**(6/5)*f**16/(f**(1/36)*f) assuming f is positive. f**(7231/180) Simplify (y**(-1/5)*y)**(-43)*(y*y/(y*y/y**(-13/6))*y)/(y**21/y) assuming y is positive. y**(-1667/30) Simplify (p**(2/7)*p**3)/(p*p**3)**16 assuming p is positive. p**(-425/7) Simplify ((m*m**(2/17)*m)**(-2/25))**(3/44) assuming m is positive. m**(-54/4675) Simplify ((s*s**(-6/11))/s**2)**36 assuming s is positive. s**(-612/11) Simplify c*c**(-14)*c**(1/11)*(c/(((c/(c/(c*c/(c/(c/((c*c*c*c*c*c**(3/4)*c*c)/c))))*c))/c*c)/c))**(-15) assuming c is positive. c**(-5683/44) Simplify (((s/s**(3/8))/s)/s)**(-38)*(s**(-2/5)*s)/(s**2/s) assuming s is positive. s**(1037/20) Simplify (q*q**(3/8)*q**(-6)/q)/(q**(-1/5)/(q*q/((q**(-12)/q*q)/q))) assuming q is positive. q**(383/40) Simplify ((b*(b*b/(b/b**(1/9)))/b)/(b*b**(-18)))**25 assuming b is positive. b**(4075/9) Simplify ((j*j**(3/2)*j/j**(3/4))/(j**(6/7)*j**(-1/16)))**(9/8) assuming j is positive. j**(1971/896) Simplify (x**(-6))**22/(x**(-6)*x)**(-35) assuming x is positive. x**(-307) Simplify ((s/s**(-2/5))/((s*(s/((s/(s/((s**(-1)/s*s)/s)))/s))/s)/s)*(s*(s/(s/(s/s**(-1/8))))/s)/s*s*s*s**7)**(8/17) assuming s is positive. s**(301/85) Simplify (b**(-22))**29/(((b/(b*b*b**(-1/3)))/b)/(b*b*b**29/b*b)) assuming b is positive. b**(-1816/3) Simplify (z**(-7/3))**(3/2)/(z**(-2/3)*z)**(-8/5) assuming z is positive. z**(-89/30) Simplify (r/r**(-7/2)*r)**26/(r/(r/r**(-2/17))*r**35) assuming r is positive. r**(1838/17) Simplify v/v**(-10)*v/(v**(-6/11)*v)*(v**(-3))**(-42/11) assuming v is positive. v**23 Simplify (q*q/((q*q**(-2))/q))**(1/15)/(q**(-2/5))**46 assuming q is positive. q**(56/3) Simplify (j**(6/11))**(-38)/((j/j**(2/3))/(j/j**(-3/7))) assuming j is positive. j**(-4535/231) Simplify ((w**(-7)/w*w**(-7/2)*w)/(w**(-7)*w/w**(1/2)))**19 assuming w is positive. w**(-76) Simplify (k/(k/(k**2*k)))**(-2/7)*((k**(2/9)*k)/k)**0 assuming k is positive. k**(-6/7) Simplify ((m**(-1/11)/(m**0*m*m))**(2/83))**(-36) assuming m is positive. m**(1656/913) Simplify (q/(q/(q*q**13))*q)**35*q**(-1/2)*q/q**32 assuming q is positive. q**(987/2) Simplify (((x**(3/7)/x)/x**(1/13))**(-11/4))**(-19) assuming x is positive. x**(-12331/364) Simplify ((q**(-1)*q*q**(4/7))**(-12/7))**8 assuming q is positive. q**(-384/49) Simplify (m/m**(-17)*m*m*m)**(2/11)*(m**(1/2))**(7/8) assuming m is positive. m**(749/176) Simplify (v**1*v*v**(-3/34))/((v**(17/3)/v)/((v*v**(-4/17))/v*v)) assuming v is positive. v**(-203/102) Simplify (t**2)**41/(t**(-6)*((t/(t/(t*t**(-5))))/t)/t*t) assuming t is positive. t**93 Simplify (p*p*p**(-9)*p*p*(p/(p*p**5*p))/p)/(p/p**(3/5))**(-22/5) assuming p is positi
{ "pile_set_name": "DM Mathematics" }
+ 1 + 3 - 1 + 2 + 0 + 0)*(-1 + 0 + 0)*(-3*c**4 + 4*c**4 + c**4) to h*c**3 + a + x*c + y*c**2 + p*c**4 and give p. -6 Express (-3 + 3 - 2 + (0 + 0 - 2)*(2 - 1 - 3) + 3 - 4 - 1 + 3 + 3 - 3)*(o**3 + 1 - 3*o**3 - 2) in the form p + h*o**2 + r*o**3 + w*o and give r. -6 Express -41*d - 2 - 4 + 138*d - 2*d in the form c + s*d and give c. -6 Rearrange (31 + 24 - 24)*(-7*m + 4*m + 2*m) - 2*m + 0 + 0 to f + y*m and give y. -33 Express (-96 - 12 - 97)*(-3*g**4 + 4*g - 4*g) - 2*g + 2*g + 2*g**4 as q*g**4 + x*g + f*g**2 + t + i*g**3 and give f. 0 Rearrange -711 + 1446 - 711 + 2*g to a*g + f and give a. 2 Express (-60*j + 27 + 2 - 32)*((1 + 2 - 1)*(-2 + 0 + 0) - 1 - 3 + 1)*(0 + 2*j + 0) as p*j + b + n*j**2 and give n. 840 Express (0*k**2 + 0*k**2 - 2*k**2)*(4*k**2 - k**2 + k - 4*k**2 + (-5*k - 5*k**2 + 5*k)*(15 - 6 + 12)) in the form n*k**4 + i*k**2 + t + o*k**3 + p*k and give o. -2 Rearrange 5*f**4 - 4*f**4 - 2*f**4 + (2*f - 2*f + 2*f**2)*(-3*f**2 + 3*f**2 - 3*f**2) to o*f**4 + l*f**2 + v + h*f**3 + k*f and give o. -7 Rearrange -7*g**2 + 4*g**2 - g**2 - 3*g**2 - 14*g - 4*g to the form k*g + j*g**2 + b and give k. -18 Express l**3 - 4*l**2 - 2*l**2 - 52 + 275*l + 6*l**2 - 278*l in the form t*l**2 + k*l + j + c*l**3 and give k. -3 Express (i**2 - 3*i**2 + 0*i**2)*(2 - 4 - 2)*(11 + 53 - 1)*(-2 + 4 - 4) in the form m + r*i**2 + a*i and give r. -1008 Express 3*y**2 - 8*y**2 - 4 - 19*y**2 + 0*y**2 - 5*y**2 in the form f + v*y**2 + l*y and give v. -29 Rearrange -714*z**2 - 7*z + 81*z**3 + 7*z - 79*z**3 to j*z**2 + o*z + i*z**3 + w and give j. -714 Express 30*o**2 + 21*o**2 - 48*o**2 + (-3 + 2 - 1)*(0*o**2 + o**2 + o**2 + (-o + 1 - 1)*(-2*o - 1 + 1)) as g*o**2 + k + l*o and give g. -5 Rearrange 0 - 1 + 1 + 112*g**4 - 11*g**3 - 102*g**4 + g**2 to the form r*g**4 + s + f*g**3 + q*g**2 + v*g and give q. 1 Express (0*m - m + 5*m + (-3 + 4 + 4)*(0*m - m + 2*m))*(-m + 15 - 15) as y + w*m + o*m**2 and give w. 0 Express (-11*w - 4*w - 2*w)*(-15 - 4*w**2 + 2*w + 3*w**2 - 2)*(4 - 4 + 5*w) in the form a*w**2 + t*w + u*w**3 + y + z*w**4 and give u. -170 Express 943*r - 472*r - 473*r - 2*r**2 + 9 - 5*r**4 in the form y*r**4 + s + i*r**3 + q*r**2 + t*r and give q. -2 Rearrange (0 + 0 - 2 - 2 + 3 - 2 + (0 - 1 + 3)*(0 + 5 - 4))*(k**2 + 6*k**3 - k**2) to v*k**2 + w*k + x*k**3 + u and give x. -6 Rearrange -2*k**2 + 241*k**3 - 120*k**3 - 8 - 120*k**3 - 128 + 0*k**2 to o*k + c*k**2 + z + h*k**3 and give c. -2 Rearrange (186 - 2*a**2 + 237 - 201)*(0 + 0 - a) to c*a**3 + d*a**2 + n*a + r and give n. -222 Rearrange -44*c + 4*c**4 - 3*c**4 - 3 + 46*c to a*c + j + v*c**2 + n*c**4 + o*c**3 and give n. 1 Rearrange -1 - 2874*f + 2874*f - 323*f**2 to the form q + d*f + h*f**2 and give h. -323 Express (-2 + 4 + 0)*(1 - 1 + 3)*(-58*u - 2 + 70*u - 4) as w*u + k and give k. -36 Rearrange t**2 + 40 + 0*t**2 - 21 + 0*t**2 - 2*t**4 - 2*t**3 to the form a*t**3 + s + p*t + m*t**2 + f*t**4 and give a. -2 Rearrange -24*u + 100*u - 2*u + 44*u to i + v*u and give i. 0 Express (1 - h - 1 + (2 + 1 + 5)*(-12*h - 12*h + 6*h))*(-3*h - 4*h + 4*h) in the form o + g*h + f*h**2 and give g. 0 Express (3 - 4*o - 1 + 2*o)*(-486 - 1167 + 43) as l*o + f and give f. -3220 Rearrange (0 + h + 0)*(4 - h**3 - 4) + (-3 - 1 + 7)*(-7*h**4 - 6*h**4 - 15*h**4) to s*h + d*h**4 + x*h**3 + o + n*h**2 and give d. -85 Rearrange (351 - 351 - 16*h)*(4 - 14 - 14)*(2 - h**2 - 2) to j*h**3 + l*h**2 + v*h + u and give j. -384 Rearrange -s**2 + 134 + 8*s - 9*s + 10*s - 9*s to the form k*s**2 + w*s + o and give o. 134 Rearrange 1 + 9*y**4 + 2 + 60*y**3 - 8 - 62*y**3 - 7*y**4 - 16*y to the form k + h*y**4 + o*y**3 + w*y**2 + x*y and give k. -5 Express (2 - 1 + 0)*(21*n - 24*n - 33*n + (-2 - 4*n + 2)*(3 + 0 - 4)) in the form b + f*n and give f. -32 Rearrange 6 + x**4 - 8 + 8*x**2 - 11 - 2*x**3 - x + 12 - x to r*x + t*x**2 + d*x**3 + v + h*x**4 and give t. 8 Express 3*r**2 - 2*r - 3 + 1 + 3*r**4 - 4*r**4 - r**2 in the form n*r**3 + v + j*r**4 + d*r**2 + u*r and give v. -2 Rearrange -140*w**3 + 159*w - 322*w + 162*w to r + b*w**2 + n*w**3 + o*w and give o. -1 Express 2*h**4 - 7*h**4 + 3*h**4 + (2 - 2 - 1)*(-38*h**4 - 7*h**4 + 16*h**4) in the form k*h**4 + b*h**3 + n*h**2 + m + i*h and give i. 0 Express -269*h + 187*h - 124*h - 423*h in the form b + f*h and give f. -629 Express (-24*u**2 + 4*u**2 + 0*u**2 + (-3*u + u + 4*u)*(u - 4*u + 2*u))*(-5*u**2 + 0*u**2 + 6*u**2) in the form a*u**2 + r*u**4 + x*u + w + s*u**3 and give x. 0 Express 110 + 9 + 41*n**3 + 2*n**4 - 40*n**3 + n**2 in the form q*n + g*n**3 + i + y*n**2 + w*n**4 and give i. 119 Rearrange 76*i + 82*i - 19*i to the form u + y*i and give y. 139 Rearrange (10*m**3 - 11*m**2 + 11*m**2)*(99*m - 49*m - 47*m - 14) to the form r*m + k*m**4 + x + d*m**2 + n*m**3 and give k. 30 Express -25*g - g**4 + 2*g**3 - 357*g**2 + 297*g**2 + 25*g - 1 in the form w + k*g**4 + a*g + s*g**3 + i*g**2 and give w. -1 Express (-2 - 2*n**2 + 2)*(-15 + 4 + 6)*(-1 + 4 - 4)*(0 - 1 + 5) in the form o*n + u + a*n**2 and give a. -40 Express -41 + 80 - 168*n - 39 in the form p*n + f and give p. -168 Rearrange (-1 + 4*z + 1)*(-49 - 75 + 21) to the form g + y*z and give y. -412 Express (-95 - 241 + 70)*(0*i**3 + 0*i**3 - i**3) + (5*i + i - 3*i)*(-i**2 - 3*i**2 + 5*i**2) in the form j*i + b + d*i**2 + g*i**3 and give b. 0 Express (-6*j + 3*j - 17*j)*(-1 - 9*j + 1) in the form d*j + f*j**2 + w and give f. 180 Express (-252 - 97*f + 257 - 31*f)*(0 + 0 + 2) in the form k + h*f and give h. -256 Express -4*f**4 - 1 + 7*f**4 + 2 - 7*f**3 + 2*f**4 as x + t*f + p*f**3 + s*f**2 + j*f**4 and give p. -7 Rearrange -235*x - 6*x - 42*x - 83*x to c + a*x and give a. -366 Rearrange -19*q**2 + 84*q - 22*q**3 + 24*q**3 + 19*q**2 to c*q + p + k*q**2 + f*q**3 and give p. 0 Rearrange 8*t**2 - 2 - t - 8*t**3 + t + 17*t**3 to the form h*t + k*t**3 + c + q*t**2 and give k. 9 Express (344*x + 20538 - 20538)*(0 + 0 + 1) as l + p*x and give p. 344 Express (-352 - 341 - 151 + 171)*(3 - 3 - 2)*(-n - 5*n + 5*n) in the form x*n + v and give x. -1346 Express -334*p + 4*p + 33*p + 94*p in the form o + j*p and give j. -203 Express -5*u + 1 - 23*u + 21*u in the form t*u + c and give t. -7 Express -171751 + 37*s + 171751 + 3*s + 0*s - 4*s - 3 - 2*s + 3 + (-2*s + 0*s + s)*(-1 + 4 - 2) in the form u + b*s and give b. 33 Rearrange -19*c + 7*c + 1 - 7*c - 1 - 4*c**2 to q*c**2 + l + y*c and give y. -19 Express (2*p**2 + 0*p + 0*p)*(3*p + 1 - 1)*(-4 + 5 - 2)*(2 + 1 - 2)*(7 + 0 + 1)*(24 - 26 - 38) as d + i*p**2 + f*p**3 + g*p and give f. 1920 Express 67*a - 767 + 767 - 4*a**2 as u*a**2 + w*a + l and give u. -4 Rearrange (-3 - 2 + 0)*(-12*t**2 - 33*t**2 - 209*t**2)*(3 - 4 - 1)*(2*t - 2*t + 2*t) to w*t**2 + x + a*t**3 + v*t and give a. -5080 Rearrange 6 - 9 - 7 - 11 - 8 + 3*i to t + n*i and give t. -29 Rearrange 55*k**2 - 2*k + 33*k**2 + 120*k**4 - 122*k**4 + 0*k to the form q*k**3 + v + u*k**4 + s*k + l*k**2 and give l. 88 Rearrange (-3860*u**2 - 3495*u**2 + 928*u**2 + 379*u**2)*(-1 + u**2 + 1) to the form x*u**3 + m*u + h + j*u**2 + b*u**4 and give b. -6048 Express -57*p**2 - 4 + 53*p**2 + p**3 - 6*p - 2*p**4 + 16 + 6*p in the form w*p + i + d*p**4 + a*p**2 + l*p**3 and give l. 1 Rearrange (-2*x + 3*x - 7*x)*(-4 + 7 + 23) to the form f + o*x and give o. -156 Express -769*g**2 + 202*g**2 + 168*g**2 + 201*g**2 in the form p*g**2 + b*g + n and give p. -198 Express 11*u**2 + 4*u + 2 + 3*u**4 + 2*u**2 - 12*u**2 - 8 in the form d*u**4 + v + h*u + q*u**3 + f*u**2 and give v. -6 Express -187*m - 58*m + 2 - 2 in the form x + r*m and give r. -245 Rearrange -3*a**3 - 30533*a**2 + 104 + 30533*a**2 + a**3 to the form s*a**3 + z + r*a + j*a**2 and give z. 104 Express 5*u**2 + 5*u**2 - 3*u**2 + 167 - 167 - 115*u**2 + (0 - 2*u + 0)*(-2*u + 0*u + u) as o + m*u**2 + z*u and give m. -106 Express 18*p**3 - 7*p**2 + 2 + 89*p**3 + 10*p**3 + 5*p**2 in the form t*p**3 + q*p + s + a*p**2 and give t. 117 Rearrange -3 + 3 + 23*f**2 - 29*f**2 + f**3 + 2 - 4*f**4 to c*f**4 + l + h*f**3 + q*f + p*f**2 and give c. -4 Express (-20 + 33 + 113)*((-y + y - 2*y)*(0 + 0 + 1) - y - 3*y + y) as g*y + o and give g. -630 Express (3 - 3 + d)*(-2*d - d - d) - 26*d**2 + 144*d**2 - 9*d**2 as l*d + x*d**2 + p and give x. 105 Rearrange 14 - 7 + 9 + 2*d**2 + 18 - 17*d**2 to the form v*d**2 + l + w*d and giv
{ "pile_set_name": "DM Mathematics" }
Let z(c) = 7*c**2 + 279*c + 147. Calculate z(-38). -347 Let k(v) = -693*v**2 - 154612*v - 16276. Determine k(-223). 3 Let p(w) = -36593*w - 36582. Determine p(-1). 11 Let w(z) = -2919*z - 40808. Calculate w(-14). 58 Let m(w) = 1280*w**2 - 40954*w - 193. What is m(32)? -1 Let u(h) = 123*h**2 - 924*h - 64. Give u(7). -505 Let i(q) = 318*q + 52453. Determine i(-165). -17 Let g(b) = -3*b + 196. What is g(49)? 49 Let n(p) = -p**2 - 18894*p - 75544. Calculate n(-4). 16 Let x(p) = 3*p**3 - 45*p**2 - 2386*p + 29923. Give x(12). -5 Let a(f) = -f**3 - 71*f**2 - 47*f + 498. Give a(-70). -1112 Let r(h) = -h**3 - 88*h**2 - 61*h - 4318. Give r(-88). 1050 Let r(k) = -2*k**3 + 66*k**2 - 433*k + 822. Determine r(25). -3 Let y(n) = -4*n**3 - 669*n**2 - 147*n + 2898. What is y(-167)? -442 Let a(f) = -3575*f + 35726. Give a(10). -24 Let b(x) = 2295*x + 569191. Determine b(-248). 31 Let z(t) = -3229*t - 190508. Determine z(-59). 3 Let b(c) = -523*c**3 + 3*c**2 + 30*c - 32. Give b(1). -522 Let y(i) = i**3 + 3*i**2 - 1766*i - 1765. Give y(-1). 3 Let r(j) = -4*j**2 - 673*j + 4184. Calculate r(6). 2 Let p(l) = -72*l**2 - 3444*l + 436. What is p(-48)? -140 Let v(s) = -22148*s + 177169. Determine v(8). -15 Let o(g) = -2*g**2 + 1305*g + 9451726. What is o(-1872)? -2 Let f(w) = -2*w**3 - 121*w**2 - 159*w + 82. Determine f(-59). -980 Let n(j) = 12*j**2 - 1860*j - 1917. Calculate n(156). -45 Let i(o) = -o**2 + 41*o + 97. Give i(42). 55 Let t(m) = 2*m**3 - 19*m**2 + 6*m - 304. Calculate t(11). 125 Let l(i) = 3*i**2 + 14099*i + 126644. Give l(-9). -4 Let f(w) = w**2 - 1386*w + 243082. What is f(206)? 2 Let o(x) = 6319*x + 39831. Determine o(-6). 1917 Let l(s) = -4*s**3 - 72*s**2 - 370*s + 67. What is l(-8)? 467 Let v(a) = a**3 - 22*a**2 + 129*a - 4477. Determine v(25). 623 Let i(p) = 4267*p - 1015566. Give i(238). -20 Let i(r) = -2829*r - 998883. What is i(-353)? -246 Let v(x) = -44*x**2 + 1892*x - 803. Determine v(43). -803 Let i(q) = -56*q - 13668. What is i(-244)? -4 Let d(o) = -2*o**2 + 813*o + 71128. Determine d(-74). 14 Let l(r) = r**3 - 23*r**2 - 19*r - 164. Calculate l(24). -44 Let p(o) = 7*o**3 + 1715*o**2 - 6*o - 1772. Give p(-245). -302 Let a(j) = 9139*j + 27525. What is a(-3)? 108 Let m(l) = -171*l**2 + 39*l + 80. Give m(-2). -682 Let g(j) = 15*j**2 - 134*j - 3. What is g(12)? 549 Let z(y) = -y**2 + 1656*y + 30134. Determine z(-18). 2 Let s(q) = 16*q**2 + 1546*q + 38. What is s(-96)? -922 Let o(k) = k**3 - 12*k**2 + 16*k - 463. Calculate o(16). 817 Let r(p) = 112*p - 9167. Determine r(54). -3119 Let w(l) = 3*l**2 + 88*l + 932. Determine w(-22). 448 Let t(w) = -4*w**3 + 703*w**2 + 3521*w - 115. Calculate t(-5). 355 Let t(m) = -9*m**2 + 933*m + 2784. Determine t(-3). -96 Let v(o) = -510*o + 23359. What is v(45)? 409 Let m(w) = -4*w**3 + 1865*w**2 + 3203*w + 34157. What is m(468)? -7 Let b(j) = 2*j**3 - 322*j**2 - 217*j + 34935. Calculate b(161). -2 Let w(u) = -56400*u + 169237. What is w(3)? 37 Let h(s) = 38*s - 1665. What is h(71)? 1033 Let h(j) = -23*j**2 + 4776*j + 16233. Determine h(211). -14 Let c(a) = -45*a**2 - 708*a - 1192. What is c(-14)? -100 Let z(m) = -4*m**3 - 39*m**2 - 257*m + 15. Determine z(-9). 2085 Let q(a) = 38*a**2 - 1841*a + 809. Give q(48). -7 Let i(a) = -3*a**2 - 2905*a - 308308. Calculate i(-847). 0 Let b(j) = j**3 + 3*j**2 - 2056*j + 15744. Give b(8). 0 Let k(v) = 4*v**2 + 172*v + 762. Calculate k(-5). 2 Let h(q) = -q**3 + 34*q**2 + 45*q - 452. Determine h(35). -102 Let u(j) = -6*j**2 + 8116*j - 149403. Give u(1334). 5 Let h(s) = -234*s - 2077. Calculate h(-12). 731 Let f(d) = d**3 - 134*d**2 - 361*d + 71. Determine f(-3). -79 Let n(c) = 6*c**2 - 42*c - 719. Calculate n(16). 145 Let t(q) = -q**2 - 469034*q - 6097275. Give t(-13). -2 Let y(c) = -8*c**3 - 3*c**2 + 15*c - 31. Determine y(4). -531 Let q(p) = 101*p**2 + 22425*p + 540. What is q(-222)? -126 Let m(a) = 3571*a - 39408. Calculate m(11). -127 Let c(y) = -y**3 + 180*y**2 - 763*y + 72444. Determine c(178). -2 Let m(s) = 270360*s - 1892520. What is m(7)? 0 Let c(q) = 2898*q**2 + 226043*q - 71. Determine c(-78). 7 Let d(w) = 45*w**2 - 314*w - 1696. What is d(11)? 295 Let n(q) = q**3 - 1256*q**2 + 41540*q + 246. Determine n(34). -26 Let t(x) = -x**3 + 9*x**2 + 200*x + 178. What is t(17)? 1266 Let m(d) = -3*d**2 + 469*d - 1407. Give m(3). -27 Let p(v) = 33*v**3 - 83*v**2 + 33*v - 3. Determine p(2). -5 Let s(t) = -832135*t - 4992842. Give s(-6). -32 Let s(r) = 30850*r + 740413. Calculate s(-24). 13 Let z(g) = 31*g**3 + g**2 - 17*g - 39. Calculate z(-3). -816 Let a(s) = -26*s**2 - 207*s + 3960. Calculate a(-17). -35 Let k(y) = -51*y**2 - 393*y + 1011. Determine k(3). -627 Let i(h) = -39*h**3 + 33*h**2 + 120*h - 1. Determine i(-3). 989 Let s(x) = 2303845*x + 2303833. Give s(-1). -12 Let g(z) = -2*z**3 - 8*z**2 - 41594*z + 41601. Determine g(1). -3 Let v(o) = -3845*o - 22674. Calculate v(-6). 396 Let d(o) = -o**3 + 86*o**2 + 263*o - 566. Calculate d(89). -922 Let c(z) = 6*z**2 + 23*z + 880. Give c(-26). 4338 Let h(i) = -57*i - 2610. Calculate h(-48). 126 Let v(i) = 135*i**2 - 46*i + 9. Calculate v(0). 9 Let h(x) = x**3 + 29*x**2 - 607*x - 16387. Calculate h(-32). -35 Let c(j) = 12*j**3 + 4272*j**2 + 4*j + 1265. Give c(-356). -159 Let q(n) = -2*n**3 - 67*n**2 + 79*n + 279. Give q(-35). 1189 Let v(q) = 26*q**3 - 1952*q**2 + 152*q - 159. Give v(75). -9 Let r(l) = -217545*l + 1305296. What is r(6)? 26 Let a(t) = 374763*t + 1873803. Give a(-5). -12 Let h(b) = 5*b**2 - 1032*b + 19861. Give h(19). 2058 Let b(h) = 3*h**3 + 271*h**2 + 115*h - 270. Give b(-90). -2520 Let v(s) = -87*s - 707. What is v(-24)? 1381 Let w(h) = 2*h**3 + 41*h**2 - 11*h - 205. What is w(-21)? -415 Let l(x) = -605*x**2 + 150645*x + 71. Calculate l(249). 71 Let p(a) = -398*a - 1976. What is p(-5)? 14 Let k(a) = -2*a**3 - 62*a**2 + 38*a + 239. Give k(-30). -2701 Let w(m) = 51*m**2 - 529*m + 313. Calculate w(10). 123 Let l(x) = 50854*x - 762788. Calculate l(15). 22 Let c(w) = 15*w**3 - 20*w**2 - 2386*w + 184. What is c(-12)? 16 Let w(z) = z**3 - 115*z**2 - 617*z + 70357. Give w(115). -598 Let o(r) = -r**3 - 28*r**2 + 1275*r + 1239. Give o(25). -11 Let l(r) = -3961*r - 30184. Give l(-8). 1504 Let c(s) = 23*s - 3025. What is c(114)? -403 Let p(u) = -573073*u + 26934436. What is p(47)? 5 Let a(y) = 33312*y - 199792. What is a(6)? 80 Let z(s) = s**3 + 26*s**2 - 584*s - 6545. What is z(-37)? 4 Let j(w) = 96*w**2 - 10261*w + 95. Calculate j(107). 1272 Let g(q) = -2*q**3 - 788*q**2 + 787*q - 1205. Give g(-395). -20 Let p(d) = -d**3 + 19*d**2 + 12017*d - 204818. What is p(17)? 49 Let g(a) = 5887*a + 1613029. Calculate g(-274). -9 Let i(p) = 59*p**2 + 1646*p - 41. Calculate i(-29). 1844 Let s(j) = j**3 - 16*j**2 + 333. Determine s(11). -272 Let w(z) = -3*z**2 + 10930*z - 2871375. Give w(285). 0 Let i(w) = -2*w**2 - 126*w + 12970. Determine i(-118). -10 Let s(n) = 1120*n - 26426. Give s(24). 454 Let r(x) = 15*x**2 - 290*x + 373. Calculate r(18). 13 Let y(z) = -1311*z + 15430. What is y(11)? 1009 Let x(m) = 1598*m - 292792. Calculate x(183). -358 Let f(a) = a**2 - 851*a + 117802. Calculate f(677). 4 Let u(j) = -1477*j**2 - 13254*j + 352. What is u(-9)? 1 Let s(f) = -f**3 - 63*f**2 - 1763*f - 11514. What is s(-9)? -21 Let a(z) = -6*z**3 + 257*z**2 - 27*z - 50. Give a(43). -3060 Let z(q) = -3*q**3 - 141*q**2 - 212*q + 2643. Calculate z(-45). 33 Let h(v) = -v**2 - 4455*v + 633853. Give h(138). 19 Let h(j) = j**2 + 9179*j + 100833. Give h(-11). -15 Let d(z) = -2*z**3 - 63*z**2 - 266*z - 92. What is d(-4)? 92 Let z(x) = -6500*x - 51957. Determine z(-8). 43 Let o(r) = r**3 + 35*r**2 - 165*r - 4707. Give o(-36). -63 Let p(r) = r**2 + 135*r + 3426. Determine p(-49). -788 Let d(c) = -55*c - 531. Determine d(-64). 2989 Let f(k) = -73752*k + 3982613. Calculate f(54). 5 Let n(w) = -136*w + 811. Determine n(5). 131 Let i(l) = 35*l**2 + 8838*l - 86983. What is i(-262)? 1 Let x(j) = j**2 - 1198*j + 272944. Determine x(306). -8 Let v(t) = -t**3 - 5*t**2 + 113*t + 217. Determine v(-13). 100 Let x(m) = 221*m**3 - 21*m**2 - 52*m - 33. Give x(-1). -223 Let o(t) = 4*t**3 + 67*t**2 + 60*t + 203. Determine o(-16). 11 Let f(h) = h**3 - 69*h**2 + 821*h - 598. What is f(54)? -4 Let q(u) = -32*u**3 - 346*u**2 - 30*u - 856. What is q(-11)? 200 Let k(u) = -11*u**2 +
{ "pile_set_name": "DM Mathematics" }
tive of q**7/315 + 4*q**6/45 + 24*q**5/25 + 41*q**4/9 + 35*q**3/9 - 50*q**2 - 138*q + 1. Find k such that x(k) = 0. -6, -5, 1 Let v(g) = -g**3 + 3*g**2 + g. Let f(k) = -12*k**3 + 16*k**2 + 12*k + 14. Let q(l) = f(l) - 10*v(l). Let q(r) = 0. What is r? -7, -1, 1 Let i(u) be the first derivative of u**8/168 + 2*u**7/105 - u**6/60 - u**5/15 - u**2 - 6. Let o(f) be the second derivative of i(f). Solve o(c) = 0 for c. -2, -1, 0, 1 Let l(w) = w + 1. Let m be l(2). Suppose 3*o = m*q + 9, -q = 3*o - 5*q - 10. Factor 0 - 4/9*x**o - 2/9*x - 2/9*x**3. -2*x*(x + 1)**2/9 Suppose g + 11*g = 36. Suppose 5*k - g*d - 25 = 0, 3 = 2*k + 2*d + 9. Factor 0 + 2/3*t**3 + 4/9*t**k + 0*t + 2/9*t**4. 2*t**2*(t + 1)*(t + 2)/9 Let h be -7 - -1 - (-4 - 4). Let t = 1 + h. Factor -1/6*l**2 - 1/3*l**t + 0 + 1/3*l + 1/6*l**4. l*(l - 2)*(l - 1)*(l + 1)/6 Let j(g) = g**2 - 6*g. Let z be j(6). Suppose z = -3*f - 3*y + 21, 4*y = 2*f + f + 14. Determine o, given that 0*o**2 + f*o + 83*o**3 + 3*o**2 - 82*o**3 = 0. -2, -1, 0 Let q(w) = 6*w**4 + 54*w**3 + 100*w**2 + 42*w + 5. Let i(b) = 3*b**4 + 27*b**3 + 51*b**2 + 21*b + 3. Let c(r) = -5*i(r) + 3*q(r). Factor c(n). 3*n*(n + 1)**2*(n + 7) Let h(d) be the third derivative of -d**7/3780 + 3*d**4/2 - 25*d**2. Let a(g) be the second derivative of h(g). Factor a(n). -2*n**2/3 Let i be (1/15)/((-25)/(-6) - 4). Let x be 0 + (-22)/187 + 72/34. Factor -f**x + 0 + i*f. -f*(5*f - 2)/5 Let t(u) be the third derivative of u**8/560 - u**7/140 - u**6/40 + 4*u**3/3 - 19*u**2. Let h(k) be the first derivative of t(k). Factor h(x). 3*x**2*(x - 3)*(x + 1) Let r = -31427/5 - -6287. Factor 2/5*t**2 - 8/5 - 2/5*t**3 + r*t. -2*(t - 2)*(t - 1)*(t + 2)/5 Let h(z) be the first derivative of -2*z**7/315 + z**6/45 + 11*z**5/180 + z**4/24 + 19*z**2/2 - 11. Let w(n) be the second derivative of h(n). Factor w(v). -v*(v - 3)*(2*v + 1)**2/3 Let v = -2380 - -2389. Factor 2/3 + v*k**2 + 7/3*k**4 + 13/3*k + 23/3*k**3. (k + 1)**3*(7*k + 2)/3 Let b(d) be the first derivative of d**5/50 - 3*d**4/40 - 3*d**3/5 - d**2/5 + 12*d/5 - 159. Find s such that b(s) = 0. -2, 1, 6 Let k be 2/(-4) + -5*(-5)/50. Let f(q) be the first derivative of -3/2*q**4 + k*q + 1 - 2*q**2 - 6*q**3 + 8/5*q**5. Factor f(s). 2*s*(s - 2)*(s + 1)*(4*s + 1) Factor -134 - 306 - 35*b**3 + 830*b**2 - 1266*b - 34*b. -5*(b - 22)*(b - 2)*(7*b + 2) Factor 0 + 0*p - 1/2*p**4 + 2*p**3 - 3/2*p**2. -p**2*(p - 3)*(p - 1)/2 Let x be (-166)/(-70) + -3 - 192/(-160). Factor 3/7*c**3 + 0 + 4/7*c**2 - x*c. c*(c + 2)*(3*c - 2)/7 Suppose 54 = -2*x + 62. Suppose -4*z + 18 = -2. Determine w, given that 16*w**3 - 14*w**2 + 11*w - 4*w**4 + 8*w**2 - 18*w**2 + z*w - x = 0. 1 Let z(k) be the third derivative of -1/720*k**6 + 1/144*k**4 + 1/18*k**3 + 0 - 1/180*k**5 + 0*k + 6*k**2. Factor z(f). -(f - 1)*(f + 1)*(f + 2)/6 Let s(f) be the second derivative of 3*f + 7/120*f**5 + 1/4*f**4 + 2/3*f**2 + 5/9*f**3 + 0 + 1/180*f**6. Determine w so that s(w) = 0. -2, -1 Let r(a) = 5*a + 4. Let l be r(-3). Let x = l - -18. Determine u, given that -11*u**5 - 4*u - 4*u**4 - 8*u**5 + 16*u**3 - 8*u**2 + x*u**5 + 12*u**4 = 0. -1, -1/3, 0, 1 Let q(s) be the third derivative of 0*s**3 - 1/540*s**6 + 1/108*s**4 + 0*s**5 + 0*s + 6*s**2 + 0. Suppose q(c) = 0. What is c? -1, 0, 1 Let y = 32 + -29. Suppose 2*f - 19 - 39 = 4*i, -4*f + y*i + 111 = 0. Factor -45 - 120*l - 32*l**3 - 41*l**2 - 8*l**3 - 5*l**4 - 42*l**2 - f*l**2. -5*(l + 1)**2*(l + 3)**2 Let f(v) be the first derivative of -v**4/16 + 3*v**3/4 + 3*v**2/2 - 5*v - 205. Factor f(z). -(z - 10)*(z - 1)*(z + 2)/4 Let f(b) = b**3 - 10*b**2 - 36*b + 144. Let x be f(12). Let w(m) be the second derivative of -4/3*m**4 + x + 6*m**3 - 4*m**2 - 7*m. Let w(g) = 0. Calculate g. 1/4, 2 Determine r so that 0 + 4/11*r - 10/11*r**2 + 8/11*r**3 - 2/11*r**4 = 0. 0, 1, 2 Let m be (-15)/(-1) + 2 + (-9)/3. Let -m*l**2 + 3 + 6*l + 36*l**2 - 19*l**2 = 0. What is l? -1 Let w = 107/171 - 23/57. Suppose 2/3 + 4/9*y - w*y**2 = 0. What is y? -1, 3 Let w be ((-8)/10)/(32/(-80)). Factor -3*b**w + 2 + 4*b + 6*b**2 + 2 - 2*b**2. (b + 2)**2 Let w(t) be the second derivative of t**6/135 + 4*t**5/45 - t**4/18 - 14*t**3/3 - 24*t**2 + 9*t + 22. Factor w(u). 2*(u - 4)*(u + 3)**2*(u + 6)/9 Let p(h) = -2161*h - 12966. Let v be p(-6). Suppose 1/4*c**5 + 1/2*c**4 - 1/2*c**2 - 1/4*c + v*c**3 + 0 = 0. What is c? -1, 0, 1 Let h(k) be the first derivative of k**5/20 - k**4/12 - 35*k + 23. Let d(u) be the first derivative of h(u). Factor d(l). l**2*(l - 1) Let q be ((-9)/(-12))/((2 - 1) + 459/(-544)). Factor 72/5 + 2/5*i**2 - q*i. 2*(i - 6)**2/5 Let w(o) = -o**2 + 61*o + 1326. Let m be w(78). Let 1/10*k + m - 1/10*k**5 + 0*k**3 + 1/5*k**4 - 1/5*k**2 = 0. What is k? -1, 0, 1 Let c(b) be the third derivative of 5*b**8/336 + 5*b**7/14 + 37*b**6/12 + 21*b**5/2 - 45*b**4/8 - 315*b**3/2 + 747*b**2. What is v in c(v) = 0? -7, -3, 1 Let w(l) = -l**3 - 6*l**2 - 5*l + 5. Let u be w(-5). Let -20 + 2*a + 12*a**2 + u - 1 - 18*a = 0. Calculate a. -2/3, 2 Let 1/6*y**2 - 1/6 - 1/6*y**3 + 1/6*y = 0. Calculate y. -1, 1 What is b in 65/2*b**2 - 20*b**3 - 15*b + 0 + 5/2*b**4 = 0? 0, 1, 6 Suppose 0 = -2*u + 3*n, -4*u = 5*n - 7*n. Factor 3*a**3 - 2 + 4*a**2 + a**3 - 2*a**4 - 2*a - a**5 + u*a**3 - a**5. -2*(a - 1)**2*(a + 1)**3 Let b(q) = -4*q**2 + 7*q - 22. Let h(z) = -z**3 - 2*z**2 + 2*z + 1. Let p be h(0). Let x(c) = c**2 + c - 1. Let d(g) = p*b(g) + 3*x(g). Factor d(l). -(l - 5)**2 Let i(p) be the third derivative of -p**7/350 - p**6/100 - 133*p**2. Factor i(v). -3*v**3*(v + 2)/5 Let w = -16140 + 16142. Determine z so that -w*z**4 + 0 - 3*z**2 + 9/2*z**3 + 1/2*z = 0. 0, 1/4, 1 Factor -3/4*w**2 - 15/4*w - 9/2. -3*(w + 2)*(w + 3)/4 Suppose 5*o - 14 - 13 = -12. Factor -52/5*m**4 + 4/5*m**2 + 0 + 4*m**5 + 36/5*m**o - 8/5*m. 4*m*(m - 1)**3*(5*m + 2)/5 Let k be (((-4)/(64/12))/(30/(-16)))/2. Factor -4/5*u - k*u**2 - 3/5. -(u + 1)*(u + 3)/5 Factor 1/2*y**2 - 7*y + 0. y*(y - 14)/2 Factor 6 - 59 + 4*w**2 - w**3 + 5 - 16 + 16*w. -(w - 4)**2*(w + 4) Let o(q) be the third derivative of -q**8/26880 - q**7/6720 + q**6/480 + q**5/10 + 2*q**2. Let c(u) be the third derivative of o(u). Factor c(v). -3*(v - 1)*(v + 2)/4 Factor -186 + 58 + 50 + c**2 + 21 + 56*c. (c - 1)*(c + 57) Let u be (-1 - -1) + (7 - 2). Suppose -u*h = -6*h. Let -4/9*k + 2/3*k**2 + h - 2/9*k**3 = 0. Calculate k. 0, 1, 2 Let f(c) = 2*c**3 + 16*c**2 + 4*c - 16. Let a(r) = 4*r**3 + 30*r**2 + 9*r - 30. Let t(i) = -6*a(i) + 13*f(i). Find p such that t(p) = 0. -14, -1, 1 Let h(a) = a + 13. Let o be h(-10). Suppose -2*l = 2*n - 8, -2*n = o*l - 5*l. Factor 2/3*u + 1/3*u**3 + 0 + u**l. u*(u + 1)*(u + 2)/3 Let t(a) be the second derivative of a**5/40 + a**4/3 + 7*a**3/4 + 9*a**2/2 - 29*a. Factor t(d). (d + 2)*(d + 3)**2/2 Let c(a) be the second derivative of a**5/80 - a**3/8 + a**2/4 - a - 17. Solve c(h) = 0 for h. -2, 1 Let z = -7 + 9. Let v be (z - 2) + 6/3. Factor -2*n**3 - 3*n**v + 2*n - 7*n - 3*n - 5*n**2. -2*n*(n + 2)**2 Let h(y) be the second derivative of -y**5/60 - 7*y**4/36 + y**3/18 + 7*y**2/6 - y - 22. Let h(f) = 0. Calculate f. -7, -1, 1 Let u(m) = 7*m + 50. Let v be u(-7). Let k be (-78)/208 - (565/(-56))/v. Suppose -18/7*l**3 - 8*l - k*l**2 + 16/7 = 0. Calculate l. -2, 2/9 Let m(f) = f**2 - 33*f - 482. Let s be m(-11). Find z, given that 2/3*z**s + 0 - 10/3*z = 0. 0, 5 Let r(z) be the second derivative of z**10/60480 - z**8/13440 - z**4/2 + 22*z. Let f(v) be the third derivative of r(v). Suppose f(c) = 0. Calculate c. -1, 0, 1 Let x = 5 - -4. Suppose -1 = 4*g - x. Determine a, given that 2*a**3 + a - a**3 - g*a = 0. -1, 0, 1 Let y be 42/48 + (-2)/(-16) + 1. Let d(m) be the second derivative of 2*m**y + 2/3*m**4 + 1/10*m**5 + 5/3*m**3 + 5*m + 0. Let d(o) = 0. Calculate o. -2, -1 Let p be -5 - (43 + -34 + (-20 - -3)). What is m in 0*m**2 - 1/7*m**p - 6/7 + m = 0? -3, 1, 2 Let k(x) be the third derivative of 0*x**6 + 0 + 1/45*x**5 + 1/36*x**4 - 2/315*x**7 + 0*x + 0*x**3 - 13*x**2 - 1/504*x**8. Solve k(i) = 0 for i. -1, 0, 1 Factor -7 - 1/4*p**2 - 11/4*p. -(p + 4)*(p + 7)/4 Suppose -i + 394 = 4*i + 4*r, -3*i - 3*r = -234. Determine b so that 42*b + 11*b**4 + 42*b + 15*b**2 + 16*b**3 - i*b + 8*b**3 = 0. -1, -2/11, 0 Let b be 6 - 0 - (1 + -7 + 9). Factor -2/3*r**b - 8/9 + 10/9*r**2 + 8/9*r. -2*(r - 2)*(r +
{ "pile_set_name": "DM Mathematics" }
d(h) = 548*h**2 + 82*h - 82. Give d(1). 548 Let z(q) = q**2 - 182*q + 2234. Give z(168). -118 Let q(k) = k**3 - 117*k**2 - 324*k + 79. Give q(-3). -29 Let j(r) = -r**3 + 13*r**2 - 3270*r + 12960. Calculate j(4). 24 Let f(g) = 116325*g - 2908122. Determine f(25). 3 Let q(o) = 4*o**3 + 45*o**2 + 94*o - 59. Calculate q(-8). 21 Let p(m) = 5163*m - 60679. What is p(12)? 1277 Let s(l) = 2*l**2 - 204*l - 2347. Determine s(131). 5251 Let c(b) = 6653*b + 13329. Give c(-2). 23 Let n(y) = y**2 - 33*y - 3220. Calculate n(-43). 48 Let r(w) = -2*w**2 - 188*w - 2525. What is r(-12)? -557 Let t(h) = -896*h - 11490. Calculate t(-13). 158 Let r(f) = f**3 - 47*f**2 - 317*f - 41. What is r(0)? -41 Let n(q) = q**3 - 9*q**2 - 129*q + 77. Determine n(-8). 21 Let z(c) = 5*c**3 + 28*c**2 + 20*c - 69. Determine z(-4). -21 Let s(n) = 418*n + 1771. Determine s(-5). -319 Let z(a) = -4*a**2 + 40821*a - 326315. Give z(8). -3 Let o(i) = 2*i**3 - 118*i**2 + 1561*i + 124. Give o(39). 163 Let q(u) = 5*u**2 + 216*u + 28. Determine q(-43). -15 Let h(q) = -11592*q + 91706. Give h(8). -1030 Let h(p) = -19*p**2 + 463*p - 2080. What is h(18)? 98 Let b(d) = -11*d**2 + 1974*d - 154. Give b(180). -1234 Let q(w) = -w**2 + 67*w + 2078. Calculate q(90). 8 Let o(g) = -3*g**2 + 453*g + 336. Give o(151). 336 Let z(d) = -d**2 + 95*d - 3125. Give z(38). -959 Let f(y) = -1329*y + 69948. Determine f(53). -489 Let v(f) = -f**2 + 71*f - 1131. Give v(19). -143 Let d(j) = j**2 - 106*j - 1408. Calculate d(118). 8 Let b(n) = 16151*n + 6056629. Calculate b(-375). 4 Let y(v) = 29*v + 2287. What is y(-22)? 1649 Let h(t) = -570451*t + 570449. Give h(1). -2 Let i(c) = -93*c - 998. Give i(-24). 1234 Let d(i) = 3*i**2 + 109*i + 668. What is d(-25)? -182 Let u(r) = 112*r**2 - 24054*r - 5576. Calculate u(215). 14 Let x(t) = t**3 - 297*t**2 + 1262*t - 26506. Give x(293). -136 Let p(u) = -706*u - 7405. Give p(-10). -345 Let g(r) = 10168*r**2 + 2908046*r - 547. Determine g(-286). 25 Let i(b) = 93*b**3 + 9*b**2 - 12*b - 4. What is i(-1)? -76 Let j(z) = z**3 + 34*z**2 - 271*z - 8985. Give j(-29). 3079 Let c(v) = -1350*v + 35855. Give c(25). 2105 Let j(k) = -12161*k + 133771. What is j(11)? 0 Let q(n) = -1772*n - 265570. Give q(-150). 230 Let h(v) = v**3 + 43*v**2 - 883*v - 894. What is h(-58)? -140 Let t(j) = -7477497*j + 59819978. Give t(8). 2 Let l(t) = 2*t**3 + 25*t**2 - 54*t + 852. Determine l(-14). 1020 Let c(v) = -2*v**3 - 287*v**2 + 285*v + 20316. Give c(-144). 12 Let u(h) = 6*h**3 + 418*h**2 + 683*h + 28082. Calculate u(-69). -1 Let h(p) = -49*p**3 - 19796*p**2 - 9*p - 3732. Determine h(-404). -96 Let h(z) = 6095*z - 2651382. Give h(435). -57 Let m(g) = -g**3 - 26*g**2 + 116*g + 36. Calculate m(7). -769 Let h(w) = -230*w**2 - 18647*w - 1372. What is h(-81)? 5 Let o(z) = -2*z**3 + 224*z**2 - 2379*z - 2111. Calculate o(100). -11 Let z(p) = 23*p + 18. What is z(-33)? -741 Let u(n) = 5134*n - 292713. Give u(57). -75 Let l(y) = 9*y**3 - 9*y**2 + 111*y + 459. What is l(-4)? -705 Let z(b) = 107*b**2 + 11762*b + 22277. Calculate z(-108). 29 Let y(q) = 1062*q + 20220. Calculate y(-19). 42 Let l(g) = g**3 - 42*g**2 + 117*g - 1206. Determine l(40). 274 Let w(z) = 10*z**2 - 588*z - 132. What is w(59)? -14 Let f(v) = v**3 - 46*v**2 - 370*v + 17038. Give f(46). 18 Let j(y) = 16541*y - 33154. Give j(2). -72 Let n(q) = -q**3 + 20*q**2 + 60*q - 183. Calculate n(23). -390 Let j(f) = -3*f**3 + 804*f**2 - 748*f - 14049. Give j(267). 102 Let y(d) = d**2 + 2*d - 1223. What is y(-26)? -599 Let k(n) = 348822*n - 2790575. Calculate k(8). 1 Let q(m) = -7299*m + 37152. Give q(5). 657 Let z(v) = 13*v**2 + 351*v - 284. Calculate z(-28). 80 Let a(m) = 37992*m + 4065111. Give a(-107). -33 Let t(y) = -3*y**2 + 2194*y - 15928. What is t(724)? 0 Let i(a) = 3*a**2 + 917*a + 12381. Determine i(-14). 131 Let w(y) = y**2 + 506*y + 9. Determine w(0). 9 Let x(r) = -r**2 - 280315*r + 4765618. Determine x(17). -26 Let s(z) = z**2 - 239154*z - 3109168. Calculate s(-13). 3 Let z(j) = -2926*j + 23400. Calculate z(8). -8 Let c(r) = -r**3 - 10*r**2 + 424*r + 4253. Determine c(-10). 13 Let n(d) = -8*d**2 - 1297*d + 1134. Calculate n(-163). -7 Let l(v) = -2*v**3 + 634*v**2 + 1273*v + 961. Determine l(319). 4 Let n(z) = 1679*z + 9985. Determine n(-6). -89 Let x(w) = -w**3 + 47*w**2 - 257*w + 284. Determine x(4). -56 Let r(d) = 7*d**2 + 3167*d - 9570. Give r(3). -6 Let c(y) = -y**3 + 443*y**2 - 14650*y - 93. What is c(36)? -21 Let j(v) = 11*v**2 - 8225*v - 2235. Give j(748). 9 Let b(s) = -19056*s + 1676898. Calculate b(88). -30 Let z(h) = h**2 - 155*h - 1778. Give z(165). -128 Let v(m) = m**3 + 43*m**2 - 1232*m + 1020. Give v(19). -6 Let v(g) = 401737*g - 8838218. Determine v(22). -4 Let l(g) = 2*g**3 + 179*g**2 + 410*g - 2615. What is l(-87)? -440 Let i(j) = 14969*j + 1062699. Give i(-71). -100 Let l(v) = -v**2 + 3491*v - 655093. Calculate l(199). 15 Let h(t) = -210425*t - 2314587. What is h(-11)? 88 Let b(k) = -45*k**2 - 4321*k + 87. Calculate b(-96). 183 Let m(s) = -77*s**2 + 16377*s + 5104. Determine m(213). -8 Let z(n) = 60*n - 7635. Determine z(127). -15 Let c(b) = 49*b**2 - 16521*b + 2744. What is c(337)? 48 Let x(k) = 2*k**3 - 12*k**2 - 89*k - 317. Calculate x(0). -317 Let z(k) = 680547*k - 680544. Calculate z(1). 3 Let y(t) = -1390*t - 35961. Calculate y(-26). 179 Let i(n) = -2*n**3 - 189*n**2 - 2620*n - 67. Determine i(-17). -322 Let d(x) = x**2 - 3*x + 299. Give d(20). 639 Let i(q) = q**2 - 328*q + 17858. Calculate i(259). -13 Let w(n) = -n**3 + 91*n**2 + 16025*n + 470. Determine w(-89). 25 Let x(b) = -4268*b + 8810. Give x(2). 274 Let y(u) = -2*u**3 - 457*u**2 - 230*u - 124. Determine y(-228). 332 Let i(f) = f**3 - 1132*f**2 - 1030*f - 116904. Give i(1133). -205 Let o(d) = -6*d**3 + 430*d**2 + 152*d - 506. Calculate o(72). 70 Let o(a) = 1886*a + 6998. Determine o(-4). -546 Let r(x) = 822*x + 6310. What is r(-8)? -266 Let o(y) = -y**2 - 684*y - 118904. Determine o(-338). -1956 Let m(l) = 18*l**3 + 188*l**2 + 146*l + 658. What is m(-10)? -2 Let b(m) = m**2 + 269057*m - 538113. Give b(2). 5 Let j(w) = -w**3 - 34*w**2 - 108*w - 1349. Give j(-32). 59 Let c(q) = -225*q - 6752. Determine c(-27). -677 Let i(a) = -45616*a + 912326. Determine i(20). 6 Let c(k) = k**2 + 1511*k + 68477. Give c(-47). -331 Let g(a) = -7717*a + 956911. Calculate g(124). 3 Let d(c) = c**3 - 2*c**2 + 11639*c - 34918. What is d(3)? 8 Let r(k) = 325*k**2 - 1083*k + 316. What is r(3)? -8 Let g(k) = 19*k - 4757. Give g(234). -311 Let o(l) = 6*l**3 - 300*l**2 - 428*l - 128. What is o(-1)? -6 Let h(o) = -2761*o - 110423. Calculate h(-40). 17 Let b(q) = -138*q**2 - 4365*q + 1839. Give b(-32). 207 Let p(m) = -46097*m + 276546. What is p(6)? -36 Let h(u) = 2*u**3 - 191*u**2 + 1291*u + 71. Determine h(88). -2481 Let f(z) = 2*z**3 + 5*z**2 + 463*z - 2693. Calculate f(5). -3 Let o(c) = 6014*c + 114196. Give o(-19). -70 Let x(f) = 10*f**2 - 156*f + 442. What is x(3)? 64 Let l(y) = y**3 - 16*y**2 - 97*y + 311. Determine l(19). -449 Let i(r) = 4*r**3 + 21*r**2 - 186*r + 273. Calculate i(3). 12 Let p(n) = 2*n**3 - 23*n**2 - 6484*n - 260. Calculate p(63). 55 Let x(t) = -344*t**2 + 1583*t - 833. What is x(4)? -5 Let d(k) = -69*k - 3768. What is d(-54)? -42 Let k(n) = -6*n**2 - 188*n + 613. What is k(-32)? 485 Let o(v) = -343*v - 52462. What is o(-154)? 360 Let d(g) = -5*g**3 - 820*g**2 + 86*g + 14074. Give d(-164). -30 Let y(u) = u**3 + 295*u**2 + 760*u - 33752. Give y(-292). 120 Let s(y) = y**3 + 247*y**2 - 1518*y - 314958. Calculate s(-248). 2 Let q(o) = -o**2 - 27685*o - 1050546. What is q(-38)? 40 Let j(o) = o**3 + 27*o**2 + 204*o + 434. Determine j(-16). -14 Let s(a) = -2161*a + 262754. Calculate s(122). -888 Let n(m) = -17098*m - 68354. Give n(-4). 38 Let i(s) = -s**3 + 357*s**2 - 1061*s - 1421. Calculate i(354). -1067 Let s(r) = -176*r - 1864. What is s(-10)? -104 Let n(z) = -4974*z + 343498. Calculate n(69). 292 Let a(m) = 1357*m**2 + 5489*m + 248. Give a(-4). 4 Let u(l) = 216*l - 31092. Give u(144). 12 Let z(s) = -s**3 + 661*s**2 - 28290*s + 41. Calculate z(46). 41 Let j(n) = 11*n + 694. What is j(-70)? -76 Let v(l) = 20*l**2 + 1003*l + 2945. What is v(-47)? -16 Let q(u) = 60*u**2 + 218*u + 148. Give q(-8). 2244 Let i(p) = -8*p**3 + 23*p**2 + 93*p - 297. Give i(-5). 813 Let g(j) = -
{ "pile_set_name": "DM Mathematics" }
301428 Find the third derivative of -599*c**5 - 5*c**4 - 9016*c**3 + 14*c**2 - 4125*c + 398. -35940*c**2 - 120*c - 54096 What is the derivative of 1481932*b - 3255942 wrt b? 1481932 What is the first derivative of -4*p**3*y**3 - 17550*p**3 + 2*p**2 - 6*p - 986742*y - 2 wrt y? -12*p**3*y**2 - 986742 What is the second derivative of 90497250*t**3 - 6940*t - 10780 wrt t? 542983500*t Differentiate 312*f**2*s**2 - 6*f**2*s - 5555187*f**2 - 7*f*s with respect to s. 624*f**2*s - 6*f**2 - 7*f Find the third derivative of -81*c**3*f**3 - 42189*c**3*f**2 + 25*c**2*f**2 + 1425*c*f**3 + 4*c*f**2 - 44*f**3 wrt f. -486*c**3 + 8550*c - 264 What is the second derivative of -728*s**3 + 14885*s**2 - 103510*s - 70 wrt s? -4368*s + 29770 What is the derivative of 46321017*h + 64243548? 46321017 Differentiate 969*w**2*y - 5*w**2 + 2019*w*y**2 + 1623533*y**2 - 9 with respect to w. 1938*w*y - 10*w + 2019*y**2 Find the second derivative of -843*g**2*p**2 - 2*g**2*p - 82637*g**2 - 2*g*p**2 + 38416095*p**2 wrt g. -1686*p**2 - 4*p - 165274 Find the first derivative of -712505*g*k**2 - 2*g*k - 105858144*g - 2*k**2 - 5*k + 1 wrt k. -1425010*g*k - 2*g - 4*k - 5 What is the second derivative of -32074117*q**4 - 40974841*q wrt q? -384889404*q**2 What is the third derivative of 36*a**3*u*v - 406*a**3*u + 4*a**3*v + 9*a**3 - 171*a**2*u - 2*a**2 + 3*a*u + 180*a*v wrt a? 216*u*v - 2436*u + 24*v + 54 What is the third derivative of -863487407*d**3*z**2 + 4*d**2*z**2 - d**2*z + 2866*d**2 - d*z**2 - 308*z**2 wrt d? -5180924442*z**2 Differentiate -3*b*t*u**2 - 9696634*b*t*u - 240*b - 16101*t - 1 with respect to u. -6*b*t*u - 9696634*b*t What is the third derivative of -64738711*x**6 + 11430852*x**2? -7768645320*x**3 Differentiate 146342539*f**2 - 69071046 wrt f. 292685078*f What is the second derivative of -815*k**2*l**3 - 81217204*k**2*l + 5*k*l**3 + 4224*l**2 wrt l? -4890*k**2*l + 30*k*l + 8448 Find the third derivative of -580*t**5 - 34541*t**4 + 153258954*t**2. -34800*t**2 - 828984*t Find the first derivative of 12378468*l**3 + 4*l**2 - 3*l + 653166760 wrt l. 37135404*l**2 + 8*l - 3 Find the first derivative of -10*c**2*q**2 + 157*c**2 - 698*c + 253610*q**3 + 5 wrt q. -20*c**2*q + 760830*q**2 What is the first derivative of -149*x**4 - x**3 - 73969*x + 641376697? -596*x**3 - 3*x**2 - 73969 Find the third derivative of 583*i*v**3*x - 234*i*v**3 + 3*i*v**2 - i*v*x - 418*i - v**3*x - 130*v**2 - x wrt v. 3498*i*x - 1404*i - 6*x What is the third derivative of 39060*j**2*k**4 + 15*j**2*k**3 + 90794*j**2*k**2 - k**4 - 10*k**2 wrt k? 937440*j**2*k + 90*j**2 - 24*k What is the second derivative of 3347962*a*z**2 + 64*a + 2*z**2 - 68372*z wrt z? 6695924*a + 4 Find the second derivative of -34246864*o**2 - 23*o - 1800607 wrt o. -68493728 Find the first derivative of 4*q**3 + 39*q**2 + 4036*q + 8076454. 12*q**2 + 78*q + 4036 What is the derivative of 12718178*n*o*q**3 + 2*o*q**3 - 9552*o*q**2 - 152*q**3 - 2*q wrt n? 12718178*o*q**3 Find the third derivative of 14388666*m**3*x + 215*m**2*x - 314456*m**2 wrt m. 86331996*x Find the first derivative of -26119692*w - 23113361 wrt w. -26119692 Find the third derivative of 81126*y**4 - 100*y**3 - 393256*y**2 + 17 wrt y. 1947024*y - 600 Find the second derivative of 4*r**3*x**3 - 405*r**3*x - 40256*r**2*x + 1633*x**4 - 400*x**2 wrt x. 24*r**3*x + 19596*x**2 - 800 Find the second derivative of -2387878*x**5 - 7108637*x. -47757560*x**3 What is the first derivative of 2*d**3 - 35793191*d**2 + 96390005 wrt d? 6*d**2 - 71586382*d Find the second derivative of -16282*k**3*w**2 - 3501*k**3 + 2*k*w**2 - 40904*k*w - 688*w**2 wrt w. -32564*k**3 + 4*k - 1376 Differentiate 23*a*i + 140710096*a - 130228*i with respect to i. 23*a - 130228 Find the second derivative of 321670067*b**2 + 498030818*b wrt b. 643340134 Find the first derivative of -4405593*f*q + 31780571*f - 4*q**3 wrt q. -4405593*f - 12*q**2 Differentiate 4*v**3*x - 2*v**3 - 58*v**2 + 8713585*v*x - 3355*v + 2 with respect to x. 4*v**3 + 8713585*v Find the first derivative of 246*o*q**2 - 66979*o + 19022*q**2 + 2834*q wrt o. 246*q**2 - 66979 Find the first derivative of 1069916*i**2 - 9*i + 34245898 wrt i. 2139832*i - 9 Find the third derivative of 33041496*t**6 - 3*t**2 - 133564 wrt t. 3964979520*t**3 Find the second derivative of -2*g**3*n**3 - 1790514*g**3*n - 750169*g*n**3 - 5*g*n wrt n. -12*g**3*n - 4501014*g*n What is the third derivative of -2429*r**4 - 371*r**3 - 16*r**2 - 1726*r + 110 wrt r? -58296*r - 2226 What is the third derivative of 7657592*q**4 - 111461*q**2? 183782208*q Find the third derivative of 73*f**6 + 7697*f**4 + 493*f**2 - 689*f + 57. 8760*f**3 + 184728*f What is the third derivative of 165417663*r**3 + 72507*r**2 - 19*r + 30 wrt r? 992505978 What is the third derivative of 83839528*l**5 - 9827260*l**2 - 8 wrt l? 5030371680*l**2 Differentiate -244403*o**3*w + 3*o**2*w**3 + 4421825*w**3 wrt o. -733209*o**2*w + 6*o*w**3 What is the derivative of -17483865*n - 11669968? -17483865 What is the second derivative of -10609965*a**2 - 92155*a wrt a? -21219930 What is the second derivative of 18135031*p**4 - 89604276*p wrt p? 217620372*p**2 What is the derivative of -1179*u**3 + u**2 + 439*u - 10211172? -3537*u**2 + 2*u + 439 What is the second derivative of 514905*d**3*n**5 + 5*d**3*n**2 + 12130919*d**3*n wrt n? 10298100*d**3*n**3 + 10*d**3 Find the third derivative of 6091581*h**3*j*k + 12*h**3*j + 890*h**2 + 63*h*j*k + 401*j*k + 2*j wrt h. 36549486*j*k + 72*j Find the third derivative of 2708*g**3*p - 711*g**3 + 3*g**2*p + 7*g**2 - 4*g*p + g - 483 wrt g. 16248*p - 4266 What is the derivative of -2*a**3*i*k - 26491668*a**3*k**2 + 16239374*a*i*k**3 - 2*k**3 wrt i? -2*a**3*k + 16239374*a*k**3 What is the derivative of -11*d**3*n + 9137*d**2*n - 28*d**2 - 3*n + 42831391 wrt d? -33*d**2*n + 18274*d*n - 56*d What is the second derivative of -57*d**4 - 11624*d**2 + 127605*d + 7? -684*d**2 - 23248 What is the third derivative of 3*o**2*x**3 + 6994*o**2*x**2 + o**2 + 13696493*x**6 - 3893*x**2 wrt x? 18*o**2 + 1643579160*x**3 What is the second derivative of -2*c**2*u**3 + 4463627*c**2*u + c**2 + 2*c*u**3 + 17*c*u**2 - 9*c + u**3 + 276*u**2 + u wrt c? -4*u**3 + 8927254*u + 2 Find the second derivative of 288*l**3 + 5879*l**2 - 13125405*l wrt l. 1728*l + 11758 What is the third derivative of 88009451*j**3 - 28368318*j**2? 528056706 What is the third derivative of 3611534*a**3*h**3 + 9*a**2*h**2 + 21644*a**2 + 5*a*h**3 + 6*h wrt a? 21669204*h**3 Find the second derivative of 2688*n*s**3*z**2 + 46*n*s**3*z - 1308*n*z**2 - 1143*s**3*z + 2*s**2 - 4*z wrt z. 5376*n*s**3 - 2616*n What is the second derivative of -2*i*r**3 - 11*i*r**2 - 20*i*r - 2*i + 813*r**3 - 252*r**2 + 224*r - 476 wrt r? -12*i*r - 22*i + 4878*r - 504 What is the derivative of 735798941*l**3*w**2 - 30474919*l**3 - 6 wrt w? 1471597882*l**3*w Find the first derivative of 10875484*v**2 + 16654695 wrt v. 21750968*v What is the second derivative of 38*i**5*x**2 + 64096*i**5 - 471*i*x**2 - 17*i*x - 11*x**2 + 4 wrt i? 760*i**3*x**2 + 1281920*i**3 What is the second derivative of -16*h**4 - 3408171*h**3 - 2*h**2 - 14876716*h? -192*h**2 - 20449026*h - 4 Find the second derivative of -37356588*g**3*t**3 + 2*g*t + 138*g - 373*t**3 + 48 wrt g. -224139528*g*t**3 Find the second derivative of 434*c**3*j*m**2 - 14*c**3*m + 24262*c**2*j*m - 100*c*j*m**2 + 8*j*m wrt m. 868*c**3*j - 200*c*j What is the third derivative of -137562693*o*t**3 + 940*o*t**2 + 4*o - 4*t + 32 wrt t? -825376158*o What is the second derivative of -3*t**4 + 66698237*t**3 + 37185849*t? -36*t**2 + 400189422*t What is the second derivative of -10548612*c**5 + 45*c + 87686 wrt c? -210972240*c**3 Find the third derivative of 395905*k**5 + 352*k**3 - 373783*k**2 + 258 wrt k. 23754300*k**2 + 2112 Find the third derivative of 404370*d**4*i*y + 12*d**3*y + 2*d**2*i*y + 47*d**2*y - 5*d*i*y + i*y - 3*y wrt d. 9704880*d*i*y + 72*y What is the first derivative of 123650099*w**2 - 347584504 wrt w? 247300198*w What is the second derivative of 3564*o**4*r + 65567*o**3*r + 328981441*o*r wrt o? 42768*o**2*r + 393402*o*r Find the third derivative of -1005646*p**5*s + 17*p**4 + 2*p**3 + 2*p**2*s + 2*p**2 + 27568*p*s + 2*p + 8*s + 1 wrt p. -60338760*p**2*s + 408*p + 12 Find the third deriva
{ "pile_set_name": "DM Mathematics" }
e there between 4:00 PM and 9:02 PM? 302 How many minutes are there between 1:15 AM and 1:02 PM? 707 How many minutes are there between 2:03 PM and 8:45 PM? 402 How many minutes are there between 6:37 PM and 2:16 AM? 459 How many minutes are there between 4:32 PM and 1:41 AM? 549 What is 126 minutes before 1:58 AM? 11:52 PM What is 20 minutes before 8:11 AM? 7:51 AM What is 103 minutes after 6:09 AM? 7:52 AM What is 678 minutes before 6:35 AM? 7:17 PM How many minutes are there between 9:24 AM and 9:33 AM? 9 What is 62 minutes before 12:27 AM? 11:25 PM What is 354 minutes before 1:35 AM? 7:41 PM How many minutes are there between 1:29 AM and 2:32 AM? 63 How many minutes are there between 5:56 AM and 12:38 PM? 402 How many minutes are there between 11:20 PM and 3:45 AM? 265 What is 309 minutes before 12:44 AM? 7:35 PM What is 139 minutes before 1:04 PM? 10:45 AM How many minutes are there between 11:36 PM and 9:54 AM? 618 How many minutes are there between 3:15 PM and 1:46 AM? 631 What is 405 minutes after 7:09 PM? 1:54 AM How many minutes are there between 10:37 AM and 8:25 PM? 588 How many minutes are there between 5:11 PM and 8:25 PM? 194 How many minutes are there between 12:03 PM and 7:27 PM? 444 How many minutes are there between 1:40 PM and 6:32 PM? 292 How many minutes are there between 10:20 AM and 12:45 PM? 145 What is 587 minutes after 4:22 PM? 2:09 AM How many minutes are there between 12:38 PM and 11:38 PM? 660 How many minutes are there between 6:36 PM and 5:07 AM? 631 How many minutes are there between 7:53 PM and 12:17 AM? 264 What is 156 minutes after 5:17 PM? 7:53 PM How many minutes are there between 1:26 PM and 6:39 PM? 313 How many minutes are there between 11:57 AM and 2:25 PM? 148 What is 430 minutes before 2:51 AM? 7:41 PM What is 517 minutes after 9:35 PM? 6:12 AM How many minutes are there between 9:55 AM and 10:44 AM? 49 How many minutes are there between 1:24 PM and 1:18 AM? 714 How many minutes are there between 8:24 PM and 4:26 AM? 482 How many minutes are there between 6:09 PM and 3:04 AM? 535 What is 443 minutes before 8:00 AM? 12:37 AM What is 2 minutes after 3:04 AM? 3:06 AM What is 33 minutes before 3:10 AM? 2:37 AM How many minutes are there between 3:35 PM and 3:41 PM? 6 How many minutes are there between 6:09 AM and 2:34 PM? 505 How many minutes are there between 4:07 AM and 8:21 AM? 254 How many minutes are there between 6:18 AM and 2:29 PM? 491 How many minutes are there between 5:29 PM and 9:25 PM? 236 How many minutes are there between 3:52 PM and 4:11 PM? 19 How many minutes are there between 11:26 PM and 1:17 AM? 111 How many minutes are there between 12:26 AM and 12:36 AM? 10 What is 687 minutes after 9:46 AM? 9:13 PM How many minutes are there between 7:09 AM and 10:14 AM? 185 What is 444 minutes before 8:51 PM? 1:27 PM What is 142 minutes before 10:39 AM? 8:17 AM How many minutes are there between 6:23 PM and 9:13 PM? 170 What is 4 minutes before 12:16 AM? 12:12 AM How many minutes are there between 5:22 PM and 5:33 PM? 11 How many minutes are there between 5:50 PM and 11:27 PM? 337 What is 503 minutes after 11:24 PM? 7:47 AM How many minutes are there between 11:16 PM and 4:08 AM? 292 What is 643 minutes after 9:14 PM? 7:57 AM How many minutes are there between 6:01 PM and 6:20 PM? 19 What is 107 minutes after 9:30 PM? 11:17 PM How many minutes are there between 6:48 AM and 11:37 AM? 289 What is 457 minutes before 8:19 AM? 12:42 AM How many minutes are there between 5:03 AM and 6:35 AM? 92 What is 159 minutes after 4:58 PM? 7:37 PM What is 185 minutes after 9:53 PM? 12:58 AM What is 481 minutes after 1:59 AM? 10:00 AM What is 110 minutes after 8:18 PM? 10:08 PM What is 359 minutes after 2:21 AM? 8:20 AM How many minutes are there between 4:42 PM and 9:37 PM? 295 What is 186 minutes after 4:02 PM? 7:08 PM What is 421 minutes after 7:16 PM? 2:17 AM What is 405 minutes after 5:28 PM? 12:13 AM How many minutes are there between 5:39 PM and 6:15 PM? 36 What is 398 minutes before 3:56 PM? 9:18 AM How many minutes are there between 7:08 PM and 7:41 PM? 33 What is 77 minutes after 1:10 PM? 2:27 PM How many minutes are there between 4:23 AM and 11:01 AM? 398 How many minutes are there between 6:03 AM and 6:17 AM? 14 How many minutes are there between 2:29 PM and 9:57 PM? 448 What is 496 minutes after 8:04 AM? 4:20 PM What is 399 minutes before 11:26 AM? 4:47 AM How many minutes are there between 11:37 AM and 9:44 PM? 607 How many minutes are there between 2:29 AM and 4:53 AM? 144 How many minutes are there between 12:28 AM and 5:48 AM? 320 What is 127 minutes after 7:07 PM? 9:14 PM What is 462 minutes before 8:33 AM? 12:51 AM How many minutes are there between 3:45 AM and 11:53 AM? 488 How many minutes are there between 9:00 PM and 3:31 AM? 391 How many minutes are there between 5:36 PM and 7:44 PM? 128 What is 428 minutes before 10:53 AM? 3:45 AM How many minutes are there between 11:41 PM and 2:02 AM? 141 What is 165 minutes after 4:01 PM? 6:46 PM How many minutes are there between 6:53 PM and 5:02 AM? 609 How many minutes are there between 9:08 PM and 11:42 PM? 154 How many minutes are there between 9:07 PM and 9:48 PM? 41 What is 136 minutes after 10:09 AM? 12:25 PM How many minutes are there between 11:22 AM and 9:34 PM? 612 How many minutes are there between 11:54 PM and 8:06 AM? 492 How many minutes are there between 5:50 AM and 6:52 AM? 62 How many minutes are there between 10:16 PM and 5:00 AM? 404 How many minutes are there between 9:17 PM and 11:00 PM? 103 What is 525 minutes before 9:13 AM? 12:28 AM What is 166 minutes before 6:08 AM? 3:22 AM How many minutes are there between 5:11 PM and 11:10 PM? 359 How many minutes are there between 5:57 PM and 3:43 AM? 586 What is 532 minutes before 10:41 AM? 1:49 AM How many minutes are there between 5:17 AM and 6:13 AM? 56 What is 588 minutes before 9:42 PM? 11:54 AM How many minutes are there between 7:19 AM and 9:51 AM? 152 How many minutes are there between 2:29 AM and 10:40 AM? 491 How many minutes are there between 3:39 AM and 5:15 AM? 96 What is 298 minutes before 5:57 PM? 12:59 PM What is 443 minutes after 6:29 AM? 1:52 PM What is 374 minutes after 7:53 PM? 2:07 AM What is 67 minutes after 11:32 AM? 12:39 PM What is 386 minutes after 8:19 PM? 2:45 AM How many minutes are there between 11:58 AM and 2:53 PM? 175 How many minutes are there between 6:23 PM and 7:07 PM? 44 How many minutes are there between 1:58 PM and 11:36 PM? 578 What is 628 minutes after 1:33 PM? 12:01 AM How many minutes are there between 9:29 PM and 8:31 AM? 662 What is 103 minutes before 9:30 AM? 7:47 AM What is 305 minutes after 9:29 AM? 2:34 PM What is 289 minutes before 4:51 AM? 12:02 AM What is 203 minutes after 9:41 AM? 1:04 PM How many minutes are there between 5:47 PM and 11:09 PM? 322 What is 283 minutes after 5:18 PM? 10:01 PM How many minutes are there between 1:03 AM and 7:09 AM? 366 What is 53 minutes before 3:30 PM? 2:37 PM How many minutes are there between 4:11 AM and 6:58 AM? 167 How many minutes are there between 6:03 AM and 11:34 AM? 331 How many minutes are there between 6:46 PM and 8:02 PM? 76 How many minutes are there between 2:19 AM and 6:56 AM? 277 What is 153 minutes before 4:42 PM? 2:09 PM How many minutes are there between 2:25 AM and 2:34 AM? 9 What is 63 minutes after 4:31 AM? 5:34 AM What is 402 minutes after 12:56 PM? 7:38 PM How many minutes are there between 3:58 PM and 2:07 AM? 609 How many minutes are there between 7:37 PM and 2:37 AM? 420 What is 318 minutes before 10:16 PM? 4:58 PM What is 557 minutes after 1:53 AM? 11:10 AM What is 419 minutes after 7:42 AM? 2:41 PM How many minutes are there between 8:21 AM and 9:37 AM? 76 What is 655 minutes after 5:59 AM? 4:54 PM What is 473 minutes before 11:40 PM? 3:47 PM What is 391 minutes after 10:17 AM? 4:48 PM What is 360 minutes after 8:44 AM? 2:44 PM How many minutes are there between 8:51 AM and 2:58 PM? 367 How many minutes are there between 2:30 AM and 7:50 AM? 320 How many minutes are there between 6:32 PM and 1:03 AM? 391 How many minutes are there between 10:28 AM and 5:47 PM? 439 What is 76 minutes before 7:30 AM? 6:14 AM How many minutes are there between 12:14 PM and 3:09 PM? 175 Wh
{ "pile_set_name": "DM Mathematics" }
r of g and c? 6 Suppose 4*t = 2*z + 38, 0 = -t - 0*t + 2*z + 17. What is the greatest common factor of 203 and t? 7 Suppose 7*v = 2*v - 2*b + 164, 5*b + 54 = 2*v. What is the greatest common factor of v and 256? 32 Suppose 11 + 39 = 5*b. What is the highest common factor of b and 5? 5 Suppose -3*n = n - 144. Let u = n - 13. Let z = 194 + -79. What is the highest common divisor of u and z? 23 Let x = -51 - -64. What is the highest common factor of 91 and x? 13 Suppose -4*b = -5*d + 33, -2*d + 16 - 2 = -2*b. Suppose d*j = 24 + 11. What is the greatest common divisor of 70 and j? 7 Suppose 2*a = 2*w + 28, 5*a + 0*w - w - 90 = 0. Suppose -2*l + 21 + a = 0. What is the highest common factor of 180 and l? 20 Let a be 48/28 - (-2)/7. Suppose -f = 3*b - 41, -3*b = 3*f + a*f - 217. Let h be 1/3 + f/3. What is the greatest common divisor of 45 and h? 15 Let k be 50/(-8) - (-6)/24. Let n(j) = j**3 + 8*j**2 - j + 7. Let r be n(k). What is the greatest common factor of 17 and r? 17 Let b = 1 + 6. Let n = -42 - -77. What is the highest common factor of b and n? 7 Let n(g) = 13*g**2 - 4*g + 4. Let l be n(6). Suppose 0 = 3*q + q - l. Suppose -2*a = -86 - q. What is the highest common divisor of 11 and a? 11 Let p(z) = 4*z - 30. Let s(h) = h - 1. Let d(k) = -p(k) + 5*s(k). Let v be d(-15). Suppose -3*a - a + 16 = 0. Calculate the greatest common divisor of v and a. 2 Let i = 84 - 21. Let l(b) = 4*b + 81. Let z be l(-18). Calculate the highest common factor of i and z. 9 Let i be (-328)/(-5) + (-4)/(-10). Let o(k) = 4*k**2 - 3*k - 2. Let v be o(-1). Let w = 11 - v. What is the highest common factor of i and w? 6 Let d = 14 + -8. Suppose 2*r = -5*z + 42, -r - 15 = -5*z - d. Let l(n) = -10*n + 8. Let j be l(-8). What is the highest common factor of j and r? 11 Let k(b) = -4*b - 2. Let z be k(-3). Let q be (-4)/((-2)/10*2). Calculate the highest common divisor of z and q. 10 Let c be 69 - 2/3*(-18)/4. Calculate the greatest common factor of 9 and c. 9 Let h = 19 + -16. What is the greatest common divisor of 9 and h? 3 Let v = -164 - -180. Calculate the greatest common divisor of v and 2. 2 Suppose 0*u + 3*u = 0. Suppose u = -7*d + 6*d + 18. Calculate the greatest common divisor of 27 and d. 9 Let z be 3*(5 + 2) + -3. Let x be 48/z - (-1)/3. What is the highest common divisor of 6 and x? 3 Let r be (1 - 25 - -3)*-6. What is the highest common divisor of r and 14? 14 Let k = 12 - 2. Suppose 4*q + 1 + 3 = 0. Let v be (1 - -69) + 0/q. Calculate the greatest common divisor of k and v. 10 Let o be (-2 + 9)/((-3)/(-162)). Suppose 7*i - i = o. Calculate the greatest common factor of 7 and i. 7 Let o(a) = -13*a**3 + 3*a**2 + 2*a. Let k be o(-2). Suppose m + k = 2*y - 3*m, m = -4. Calculate the highest common factor of y and 12. 12 Let r = -237 - -77. Let z = r - -256. Let j = 229 + -217. What is the highest common divisor of z and j? 12 Suppose -5*a - 3*w = -80 - 512, a - w = 120. Suppose 0 = z - 5*z. Let t(b) = -b + 17. Let f be t(z). What is the highest common factor of f and a? 17 Suppose -4*o + 14 = 2. Suppose o*u = 2*f + 45, 2*u + 3*f = 4*u - 25. Calculate the highest common divisor of 17 and u. 17 Let w(k) = -61*k - 3. Let l be w(-2). Calculate the greatest common divisor of l and 17. 17 Suppose 3*s = 2*h + 5, 3*h = -s + 11 - 2. Calculate the highest common factor of 12 and s. 3 Suppose 3*o - 22 = -7. Suppose 5*g - 18 = -2*d, 4*d - 94 = o*g + 2. Calculate the highest common divisor of d and 38. 19 Suppose -2*w - 2*i + 26 = 3*i, 4*w + 3*i - 52 = 0. Let t(m) = m**2 + 5*m + 5. Let l be t(7). Let q = l - -2. What is the greatest common divisor of w and q? 13 Let y = 29 - 18. Let b = -1 + y. Suppose 0 = 10*k - 0*k - 500. What is the greatest common factor of b and k? 10 Let m be (-12)/(-2)*39/9. Calculate the greatest common divisor of m and 78. 26 Let n be 24*(3 + -6 + 4). What is the greatest common factor of n and 8? 8 Suppose -7 - 3 = -2*q. Let o = -4 - -9. Suppose q*m = 3*r + 85, 3*m - o*r - 7 = 28. Calculate the highest common factor of m and 30. 10 Let z be -15*-11*2/6. What is the highest common factor of 5 and z? 5 Let y be (2 + (-166)/(-5))*5. Calculate the highest common divisor of y and 16. 16 Suppose 8*j = 5*j + 21. What is the greatest common divisor of 14 and j? 7 Let k(b) = 9*b + 3. Let o be k(5). Calculate the greatest common divisor of 24 and o. 24 Let b be ((-1)/2)/((2 - -2)/(-264)). What is the highest common divisor of b and 22? 11 Suppose b - 8 = 3*b. Let d(q) = 2*q**2 + 4*q + 1. Let f be d(b). What is the greatest common factor of 17 and f? 17 Let f = -82 + 138. Let w be 1*5*f/40. What is the greatest common factor of 1 and w? 1 Let x = -27 + 35. What is the greatest common divisor of x and 8? 8 Suppose 2*v - 17 = 37. What is the greatest common factor of v and 54? 27 Let q be 3368/40 + 1/(-5). Let x = 29 - 8. Calculate the greatest common factor of q and x. 21 Suppose 4*h + 9 = 1. Let j(t) = 26*t**2. Let x be j(h). What is the highest common divisor of 13 and x? 13 Let n(q) be the first derivative of -q**4/4 + 5*q**3/3 - q**2/2 - 2*q + 1. Let p be n(4). Suppose 3*w = w + p. Calculate the greatest common factor of w and 2. 1 Suppose 5*z + 2*h = 4, 5*z - 2*h - 22 = 2*h. Suppose -w = -2*w + z. Suppose p - 77 = -5*t, 3*t + p - 45 = -0. What is the greatest common factor of t and w? 2 Let k be -5*((-28)/(-10) + -2). Let l be 2/k*8/(-2). What is the highest common divisor of l and 6? 2 Let j(c) = c**2 + c + 4. Let t be j(-4). Suppose 4*x + 53 - 21 = z, -z = 3*x - 18. Calculate the highest common divisor of t and z. 8 Suppose 2*x = 25 - 9. Suppose 3*t - 3*b - 20 = 10, -3*t - 3*b + 42 = 0. Let v be t/(-5)*60/(-9). Calculate the highest common divisor of x and v. 8 Suppose 64 = -2*t + 6*t. Suppose 2*j - 7*j = -280. Let l be 8/14 - (-3552)/j. What is the highest common divisor of t and l? 16 Suppose 4*t + 5*t - 81 = 0. What is the highest common factor of 1 and t? 1 Suppose -5*w - 2*h = -136 + 36, -5*w + 100 = 5*h. Calculate the highest common factor of w and 60. 20 Let q be ((-8)/(-14))/(3/21). What is the greatest common factor of 20 and q? 4 Suppose -4*z = z - 40. Let t = 40 + -39. Calculate the highest common divisor of z and t. 1 Suppose 0 = -3*i - i + 292. Let k = 138 - i. What is the highest common factor of 26 and k? 13 Suppose 4*q - 14 = 34. What is the greatest common divisor of 48 and q? 12 Suppose 2*w + 109 = y, -2*y + 3*w + 201 = -22. Calculate the highest common factor of 17 and y. 17 Suppose 22 + 2 = 2*q. What is the highest common divisor of q and 108? 12 Let g be (12 + -45)*(0 + -5). Let u(j) = 3*j**3 - 1. Let v be u(1). Let s be (v - 1)*(16 + -1). What is the highest common factor of g and s? 15 Let l(w) = -11*w + 12. Let b be l(-4). What is the highest common divisor of b and 14? 14 Suppose 0 = -4*r + l - 6*l + 251, -5*l + 187 = 3*r. What is the greatest common divisor of 160 and r? 32 Suppose 2*a + 5 + 3 = -3*x, 0 = 5*a - 3*x - 22. What is the highest common divisor of 2 and a? 2 Suppose q - 4*r - 5 = -0*q, 7 = q - 3*r. Let h = q - -11. Let t = -27 - -51. What is the greatest common divisor of t and h? 24 Let b be 3*1*(-1)/(-1). Let o be 10/(-3)*(-3)/2. Suppose 3*q - 50 = -o. What is the greatest common divisor of b and q? 3 Suppose 2*n + 95 - 31 = 4*u, 5*u - 5*n - 90 = 0. Calculate the highest common divisor of 126 and u. 14 Let l(g) = -g**3 - 5*g**2 + 3*g + 7. Let v be l(-4). Let r be 3/(-2)*154/v. What is the highest common factor of r and 11? 11 Let n(i) = -5*i - 6. Let v be n(-2). What is the greatest common factor of v and 64? 4 Let u be 2/10 - (-203)/35. Calculate the greatest common factor of 4 and u. 2 Let y be 28/(-3)*3/(-2). Suppose 0 = 2*k - 4, -v + k + 33 = -6*v. Let t = y + v. Calculate the greatest common factor of 56 and t. 7 Let t be (-2)/((-16)/(-98))*-4. Let q(k) = k**3 + 5*k**2 - 7*k - 7. Let s be q(-5). Let h be 204/s + 4/(-14). What is the greatest common factor of h and t? 7 Suppose -21 = -4*b + 171. Calculate the greatest common divisor of b and 12. 12 Let h(w) = 7*w + 2. Suppose 0*z + z = 4*b - 14, 5*z + 19 = 3*b. Suppose b*s = 2 + 16. Let u be h(s). What is the highest common divisor of u and 4? 4 Let m(r) = 27*r**3 + r - 1. Suppose 4*z - 3*z - 1 = 0. Let c be m(z). Let n(q) = q**3 - 3*q. Let h be n(3). What
{ "pile_set_name": "DM Mathematics" }
*j + f and give g. 2 Rearrange -3*n - 2*n**2 - 35*n**3 + 35*n**3 - 2*n**4 to the form r*n**2 + v*n + c + s*n**3 + o*n**4 and give o. -2 Rearrange 10*b - 8*b**3 + 10*b**3 - 4*b**3 to the form c*b**2 + u*b**3 + j*b + n and give j. 10 Rearrange 3*g**2 - 2*g**2 - 2*g**2 + g**2 + 3*g**2 - 5*g**2 + (2 - 2 - g**2)*(-3 + 1 + 1) + 3*g**2 - 2 + 2 to the form f*g + t*g**2 + u and give t. 2 Rearrange -2*l**4 + 2 - 4*l**3 - 2 - l**2 - 2 to the form w*l**2 + q*l**3 + m*l + u + g*l**4 and give g. -2 Express 86*n - 43*n - 41*n + 2*n**2 - 2 in the form g + k*n + r*n**2 and give g. -2 Rearrange 8*d**4 - 1187*d**2 + 1187*d**2 + (-2*d - d + 5*d)*(2 - 2 - d**3) to h*d**2 + b*d**4 + f*d**3 + q*d + s and give b. 6 Express -q - 5 + 3*q + 13 in the form y + h*q and give h. 2 Rearrange -3*l**2 + 0*l**2 + l**2 + (4*l - 3*l + 2*l)*(l + 0*l - 2*l) + 2*l**2 + 2*l - 2*l + (4*l - 3*l - 3*l)*(2*l - 5*l + 6*l) to h*l**2 + y*l + g and give y. 0 Rearrange -n**3 + 2 + 3*n - n + 0*n**3 to the form z + v*n + k*n**2 + t*n**3 and give z. 2 Rearrange -2*t + 6*t + t**3 - 9 - 3*t - 3*t**4 - t**2 + 7 to i*t**3 + w*t**4 + z + n*t**2 + f*t and give n. -1 Rearrange -h - 51*h**3 + 54*h**3 - 4*h**2 + 6*h**2 - 36*h**3 to u*h**3 + w*h**2 + n*h + f and give n. -1 Rearrange (c + 2*c - 4*c)*(0*c - 5*c + 3*c) + 2*c**2 + 12*c + 5*c**2 - 4*c**2 to the form w*c**2 + i + m*c and give m. 12 Rearrange ((-1 + 1 - 1)*(1 + 1 - 3) - 2 + 0 + 3)*(2 - 2 + 1)*(-1 + 1 - m)*(-2 - 2 - 3) to the form q + f*m and give f. 14 Express 32 + 15*o - 32 + (2 + 1 - 2)*(0*o + o - 2*o) as b*o + g and give b. 14 Rearrange (-l + l - 7*l)*(-2 + 4 - 1)*(2 + 0 + 0)*(-2 + 5 - 3*l + 5*l) to the form n + x*l + a*l**2 and give a. -28 Rearrange 198*r + 47*r**2 - 198*r to l*r**2 + u + g*r and give l. 47 Rearrange 0*j - 4*j + 5*j - 3*j + 4*j - 3*j + (-5*j + 2*j - 10*j)*(3 - 3 + 1) to i + q*j and give q. -14 Rearrange (-1 + 7 - 13)*(36 - 36 + 3*q) to j*q + f and give j. -21 Rearrange 8*v - 3 + 9 - 6 to the form b + z*v and give z. 8 Express 7*s**2 + 3*s**2 - 7*s**3 - 2*s - 6*s**2 - s**2 as j + u*s + f*s**2 + a*s**3 and give a. -7 Express (138 + 149 - 172)*(2*v + 2*v - 3*v) as i + r*v and give r. 115 Express 2*f**3 - 5*f**2 + 3*f + 0*f**2 + f + 3*f**2 as a*f**3 + p*f**2 + i*f + n and give i. 4 Express -12*h + 12*h - 4*h**3 + (-3*h - 2*h + 3*h)*(2*h**2 + h**2 - 2*h**2) - h**2 + h**2 + 2*h**3 in the form a*h**3 + q*h**2 + z + o*h and give a. -4 Express -162*y**3 + 3 + 164*y**3 + 3*y**2 + 2*y**4 + 1 in the form h + u*y**3 + z*y**2 + c*y + v*y**4 and give z. 3 Express 3*g + 5*g - 9*g - g + 2 + 19*g**2 as p + k*g**2 + l*g and give k. 19 Rearrange 16*k - 22*k - 25*k to c*k + x and give c. -31 Rearrange (-2*c - c + 5*c)*(-4*c - c + 3*c) - 28*c**2 + 84*c**2 - 32*c**2 + c**2 + 2*c**2 - c**2 to p*c + i*c**2 + r and give i. 22 Rearrange 389 - 4*z - 389 to the form t*z + q and give t. -4 Rearrange -3 + v**2 - 2*v**4 - 2 + v - 2*v**4 + 3 to k*v**3 + u*v + j*v**2 + b + o*v**4 and give b. -2 Express 2*p**2 + 2*p**2 - 8*p + 8*p in the form w*p**2 + i*p + s and give w. 4 Express (-30*b + 1 + 2 - 1)*(2*b**2 + 2*b**2 - b**2) as x + d*b**2 + a*b**3 + l*b and give d. 6 Express -p - 71 - 32*p + 73 in the form a*p + b and give b. 2 Express -3*j - j**3 + 2 - 8*j**3 + 10*j**3 in the form n + q*j**3 + v*j**2 + y*j and give q. 1 Express -4*h - 28 + 28 as r + n*h and give n. -4 Rearrange (4 - 4 - 1)*(-4 + 10*d + 4 + (1 - 1 - 2*d)*(-3 + 3 - 2)) to the form p*d + y and give p. -14 Rearrange 3*l + l**4 + l - 6*l + 5*l**2 - 9*l**2 to q*l**2 + j*l**4 + d*l + n*l**3 + s and give j. 1 Express -5 + i**3 + 5 + (-2*i + 2*i**2 + 2*i)*(0*i + 0*i - 2*i) + 706 + 5*i**3 - 344 - 353 in the form z*i + j*i**2 + l + h*i**3 and give h. 2 Express (0 + 18 + 0)*(-z + z - z)*(2*z**2 + 2*z**3 - 2*z**2) in the form g*z**4 + l*z + y*z**2 + k + v*z**3 and give g. -36 Express 5 - 5 - 3*q**2 + 14*q**2 as x + t*q**2 + o*q and give t. 11 Rearrange 22*c**2 - 69*c**4 - 22*c**2 + (-2*c**3 + 3*c**3 + c**3)*(-4*c + c + c) to m*c**2 + j + a*c**4 + b*c + v*c**3 and give a. -73 Express 1 - 2*t**2 + 5*t**2 - 3*t**3 + 4*t**3 + t**4 as f*t**4 + g*t + l*t**2 + h*t**3 + a and give l. 3 Rearrange -9 - 1 - 2*p**3 + p - 4*p - 1 to l*p + s + q*p**3 + j*p**2 and give q. -2 Express 162 - 316 + 2*b + 3*b**2 + 156 + (-3 + 0 + 2)*(-2*b**2 + 5*b**2 - b**2) as x*b**2 + k + j*b and give k. 2 Rearrange 17*j - 5*j + 21*j - 2*j to the form o*j + z and give o. 31 Rearrange (-1 + 1 + 3)*(4 + s - 4) - 4*s + 2*s + s to the form r + d*s and give d. 2 Rearrange y - 2 + 2 + (3 - 7 + 2)*(67 - 19*y - 67) to the form l*y + u and give u. 0 Rearrange (23 + 6*b - 23)*(3*b**2 - b**2 - 3*b**2) + (-5*b**2 + 2*b**2 + b**2)*(b - 1 + 1) to the form z*b + t*b**2 + d + v*b**3 and give v. -8 Express (3*x - 5*x + 3*x)*(3*x**3 - 3*x**3 - 2*x**3) - 10*x**2 + 9*x**2 + 0*x**4 + 3*x**4 as m + q*x**2 + s*x**3 + h*x**4 + d*x and give h. 1 Rearrange 3*f**2 - 2*f**2 + 0*f**2 + (-2*f + f + 8*f)*(-7 + 1 + 1)*(-2*f + 3*f + f) to the form v + g*f**2 + h*f and give g. -69 Express -3 - 8*j - j**3 + 0 + 8*j + 2*j in the form m*j + n + i*j**2 + d*j**3 and give d. -1 Rearrange 0*f - 3*f - 48*f**2 + 46*f**2 to the form y*f + d + j*f**2 and give y. -3 Rearrange -4*p**4 + 1 + 4*p**4 + p**2 + 2*p - 2*p**4 to u*p**3 + w*p**4 + r + v*p + q*p**2 and give v. 2 Rearrange -j + 0*j - j + (-j + 4*j - 2*j)*(0 + 4 - 5) + 67*j + 40*j - 61*j to r*j + u and give u. 0 Express (0 + 2 - 4)*(4*q - 4*q - 3*q) as p*q + w and give p. 6 Express -4*f**3 - 41*f**2 + 2*f + 2*f**3 + f**3 in the form d + j*f**2 + h*f + w*f**3 and give j. -41 Rearrange 37*o - 33*o + 117*o to u*o + h and give u. 121 Rearrange (2*c**4 + c**4 - c**4)*(109 + 55 - 85) to l*c**3 + s*c**4 + a*c**2 + q*c + u and give l. 0 Rearrange -f**2 + 1 + 768*f**4 - 2*f - 4*f**3 + 4*f**2 - 766*f**4 to the form v*f**3 + k*f + g + h*f**4 + u*f**2 and give g. 1 Express i**3 - 4*i + 2*i**3 + 7*i in the form s*i**2 + z + x*i**3 + j*i and give j. 3 Express -2*b - 3*b - 6*b + b as n*b + x and give n. -10 Express 7*k + 8*k + 2*k as u*k + r and give u. 17 Express -3 + 764*s**3 - 4*s + 1 + 2*s**2 - 12*s - 763*s**3 as u + h*s + q*s**2 + x*s**3 and give q. 2 Rearrange 3*c - 12*c + 7*c + 0*c + 18 to the form p*c + u and give p. -2 Express 5 + 7 + 28*t - 12 in the form a*t + o and give a. 28 Rearrange (-g**2 + 2*g**2 + 3*g**2)*(-1 - 2 + 9)*(3 - 3 + 1)*(-3 + 1 + 4) to the form q*g + v + i*g**2 and give q. 0 Express -14*j + 28*j + 108*j as g + k*j and give k. 122 Rearrange -11*f**3 + f - 10*f**4 + 0*f**4 - 2*f + 10*f**3 to l*f + x*f**2 + d*f**3 + h + m*f**4 and give l. -1 Rearrange 20*c**2 + 4*c**4 - 20*c**2 + (c**2 + 4 - 4)*(0*c**2 + c**2 + 0*c**2) to q*c + g + v*c**3 + k*c**4 + f*c**2 and give k. 5 Rearrange (17*h - 67 + 67)*(0*h**2 + 3*h**2 - 4*h**2) + (h - h**3 - h)*(1 + 1 + 0) to t + j*h**2 + k*h + q*h**3 and give q. -19 Rearrange (0*s - 4*s + 3*s)*(-s**2 + 3*s**2 - 3*s**2) to the form o*s**2 + h*s + c*s**3 + d and give c. 1 Express 4 + 1 - 1 - 5 - 8*x**2 in the form f + g*x + v*x**2 and give f. -1 Express 0*d - 46*d + 14*d as r*d + k and give r. -32 Express (7*j**4 + 5 - 5)*(-2 + 2 - 2) as b + q*j**3 + z*j**4 + h*j + d*j**2 and give q. 0 Rearrange 10*h**2 + 5 - h**2 - 7*h**2 to z + m*h + a*h**2 and give a. 2 Express 2*p**2 + 3*p - 3*p + (-3*p**2 - 8*p + 8*p)*(1 - 6 + 2) in the form i + c*p**2 + k*p and give c. 11 Express 0 - 2*p**2 - 2 - 2 - 4*p**2 as f + b*p**2 + k*p and give b. -6 Express 156 - 156 + 12*a in the form o + m*a and give m. 12 Rearrange 26*s + 5*s + 12*s + s to the form x*s + g and give x. 44 Express 2*r - 14*r + 22*r as a + s*r and give s. 10 Express -2*x**2 + 4*x**2 + 3*x**2 - 5*x**3 - 2*x**2 in the form g*x + a + z*x**3 + q*x**2 and give z. -5 Express -a**3 + 12*a**2 - 3*a**4 - 32*a**2 + 7*a**4 - 3*a**4 in the form c*a**3 + t + i*a + b*a**4 + o*a**2 and give o. -20 Rearrange 1098*i**3 - 1100*i**3 - 4*i**2 + 5*i**2 to the form o*i**2 + k*i**3 + d*i + c and give k. -2 Express (d**2 + 0*d**2 + 0*d**2)*(-4 + 0 + 2)*(-2*d - 2*d + 2*d) + 16*d**2 - 16*d**2 + 12*d**3 in the form l + o*d**3 + z*d**2 + q*d and give o. 16 Rearrange 2*o**3 - o + 4 - 3*o**4 - 5 + 3*o to r*o**2 + v*o**4 + p*o**3 + g*o + t and give r. 0 Rearrange 2*g**3 + 3 - 12 - 2*g**4 - 32*g + 5 + 5 to c*g**2 + a*g**3 + o*g + b*g**4 + l and give l. 1 Express 7*v - 3
{ "pile_set_name": "DM Mathematics" }
l = 0.09377 + 0.20623. What is the closest to l in o, -0.1, 2, -1/4? -0.1 Let d = -6036 + 168953/28. Let v = d - -12/7. Suppose 39*w - 10 = 37*w. Which is the closest to w? (a) -0.4 (b) v (c) -2 b Let f(d) = d**2 - 8*d. Let v(m) = -14*m - 20. Let g be v(-2). Let l be f(g). Let u = -6 - -5.6. Which is the closest to -2/5? (a) -0.3 (b) l (c) u c Let r = 7387 + -7366. Which is the nearest to -3/2? (a) -1/7 (b) r (c) 1 a Let x = 22505 - 22510. Which is the closest to 8? (a) 3 (b) x (c) 5 (d) -0.12 c Let x = -0.274 + 960.274. Let o = x - 932. What is the nearest to 1 in -5, o, 3/2? 3/2 Let g = 18/5 + -77/20. Let z = 2.187 + -0.087. Let b = -2.1 + z. What is the closest to g in 2/9, -0.3, b? -0.3 Let a = 0.9473 - -0.0527. What is the nearest to 192 in a, -3/8, 2? 2 Let s = -1.436 + 1.536. Let k = -2.05 + 0.05. Which is the closest to -0.5? (a) k (b) -5 (c) 5 (d) s d Let m = -0.92 - -1.22. Let o = -450.93 + 451. What is the closest to -0.1 in o, m, -0.4? o Let i = -25/29 + 104/87. Which is the closest to 3/236? (a) 3/4 (b) 3 (c) i (d) 2 c Let g = 0.10272 - 0.20272. Which is the nearest to 1/27? (a) -1/9 (b) 4/7 (c) -3 (d) g d Let q = -81679/3 - -27227. What is the closest to 2 in 3, q, -102? 3 Let i = 421/3 + -422/3. Let g = -0.8 - -5.8. Which is the nearest to -7/2? (a) g (b) i (c) -3 c Let r(d) = 20*d - 95*d + 43*d - 160. Let i be r(-5). Which is the nearest to 1/5? (a) -0.03 (b) 4 (c) i c Let i be 52/(-14) + 10/(-35) - -14. Let q be 12/i*(-12 + 53/4). Which is the nearest to 1? (a) 4 (b) 2/39 (c) q c Let m = -53/6 - -9. Let w be ((-9)/7)/(-1) + (-42)/147. Let x be (1*18/(-21))/(8/(-28)). Which is the closest to 1/6? (a) m (b) x (c) w a Suppose -4*y + 8*y + 3*v - 19 = 0, -8 = -3*y - v. Let c = -2/89 - 441/178. Let z = 145623 - 145622.8. What is the nearest to y in z, c, 0.4? 0.4 Let c = -29366 - -29365.7. What is the closest to 58 in 3, 0, -4, c? 3 Let l be -14 + (18/(-3) + 6)*-1. Which is the nearest to l? (a) -4 (b) 5 (c) -3 (d) -10 d Let t = -0.11644 + -0.08356. Let i be 1/(-2) + (-2)/(-4). What is the nearest to i in -0.4, 0, t, 0.5? 0 Let g = 5/9 + -8/63. Let j = -604 + 928. Let m = -329 + j. What is the nearest to -2/9 in -2, g, m? g Let l = 20500 + -20500.1. Which is the closest to l? (a) -1 (b) -5/27 (c) -1/9 (d) 5 c Let l = 59/71 + -319/213. Which is the closest to -1? (a) 0.1 (b) 1.9 (c) 2/7 (d) l d Let q(n) = n**2 + 59*n + 865. Let p be q(-35). What is the nearest to 0.07 in p, 3, 2, -3/2? -3/2 Let g = -0.36049 + -6.63951. Which is the nearest to -1? (a) -17 (b) 0 (c) 0.2 (d) g b Let q = 3783 + -3783.5. Let r be 2/((-5)/(10/4)). What is the nearest to r in q, 43, -0.3? q Let i(h) = -2*h**2 + 17*h - 12. Let g be (-1)/((-1)/3*21/56). Let l be i(g). Let k be ((-8)/(-180))/(5/(-25)). What is the nearest to k in l, 0.3, -5/2? 0.3 Let d be -152 - 6 - (1 + 0). Let t = -154 - d. What is the closest to 3 in 0.06, t, 3? 3 Let a = 12.845 + -8.845. What is the closest to 1/5 in 1, a, 1/3, -5/3? 1/3 Let i = 0.1157 + 0.2843. What is the nearest to -0.1 in -3, -1.9, 2, i? i Let g = -205.32 - -205.08. Which is the closest to g? (a) 3 (b) -0.1 (c) -0.4 (d) -1/6 d Let s be ((-160)/24)/((-15)/(-6)). Which is the nearest to 1/4? (a) -11 (b) -4 (c) s (d) 3/4 d Let d(c) = -3*c**2 + 25*c - 53. Let s be d(4). What is the closest to 0.1 in -24, 1, s? 1 Let q = -4.1614 + 4.6614. Which is the closest to -1? (a) -0.3 (b) q (c) -3/2 (d) -251 c Let s = 216/1891 - 5/61. Which is the nearest to 0.1? (a) s (b) 2 (c) -0.03 a Suppose -3*d + 32 = -5*f, -d + 3*d - 4 = -f. Suppose -d*k + 0*q - 4 = 3*q, 4 = -4*k - q. What is the closest to k in 2/9, 2, 1/5? 1/5 Let w = -0.5 + 0. Let v = -2 + 2.1. Let g = -113.2385 - -113.5385. Which is the closest to v? (a) g (b) w (c) 0.13 c Suppose j = 7*j. Let x = 8 - 13. Let n be 84/105*6/12. What is the closest to -2/7 in j, x, n? j Let i = -0.04 + -0.96. Let w = -10849 + 10846. Which is the closest to 66? (a) i (b) w (c) 1/4 c Let u = -9457/3 - -3126. Let p = 173/6 + u. Which is the closest to 0? (a) 0.2 (b) p (c) 1/6 c Let n(w) = w**3 + 6*w**2 + 3*w + 22. Let z be n(-6). Let i = -12115/12 + 1009. Let s = i + 5/12. Which is the closest to 3? (a) s (b) z (c) -4 b Let n = 0.3654 - 0.1654. What is the closest to 1/2 in 3, -5, n? n Suppose -26 + 5 = 7*d. Let s be -2 - (-3 - (d - 6)). What is the closest to 0.2 in s, 1, 0.06? 0.06 Let l = -10209 + 10211. Which is the closest to l? (a) -0.2 (b) 3 (c) 4 (d) 24 b Let w be (51/((-3213)/18))/((-4)/14). What is the closest to -1 in 30/13, w, 0? 0 Let b = -110229 - -110240. Let x = 4 + -2. What is the closest to b in -0.5, 5, x, 2/11? 5 Let t be (-9)/4 - (-3)/((-21)/(-14)). Let q = 4.31 + 1.69. Which is the closest to 4/9? (a) t (b) q (c) 2/7 c Let z = 2341 - 2341.8. Which is the nearest to 0? (a) 0.1 (b) -0.2 (c) z (d) -9 a Let j be 4/((-4)/10*-5). Let w be j + -1 + -3 - 4. Let y be 13/(-4) + w/(-2). Which is the closest to -1/3? (a) -0.4 (b) -1/2 (c) y a Let q be 6/15*(12/(-16) - -2). Let j be (2/(-28))/(16/(-64)). Let s = 7 - 4. What is the closest to q in 1/6, j, s? j Let k = -814.1 - -814. Let q = -44 + 306/7. Which is the closest to k? (a) q (b) 0 (c) -2 b Let j(s) = -s**3 + 22*s**2 - 36*s - 78. Let w be j(20). Let l be w + ((-90)/35 - 5) + 5. Let y = 3 - 1. Which is the nearest to 0? (a) y (b) l (c) 0.1 c Let p(s) = 2*s**3 - 7*s**2 - 14*s - 8. Let v be p(5). Which is the nearest to 0.1? (a) v (b) 0.2 (c) -118 b Let s = 31.87 - 32. Let r = -787.6 - -788. Which is the closest to s? (a) -1 (b) -2 (c) r c Let q = 22 - 26. Let v = 5595 - 5595.5. What is the nearest to 2 in 4/5, q, v? 4/5 Let l = -1819 - -1818. Let w = 56.989 + -57. Which is the closest to l? (a) -1/3 (b) w (c) -5 a Suppose 416 + 566 = 84*z + 814. Let g = 0.1 + -0.3. What is the nearest to z in -7/4, g, 3? 3 Let y = 0 + 2. Let q = -69 - -75. Let w be 34/(-4)*(-22)/55 + -3. What is the closest to y in q, 0.2, w? w Suppose 2*r - 5*j + j = 0, 4 = 2*j. Let u = -41 - -42.05. Let l = u + -0.05. Which is the closest to -0.1? (a) l (b) -1 (c) r b Let b = -4609 - -4604.5. What is the closest to 0.1 in -3, -0.5, b, 0.02? 0.02 Let q be (4 - 102/24)/((-9)/(-360)*25). What is the nearest to -109 in -0.5, -2, -2/11, q? -2 Let u be (-737)/(-5) - 6/15. Let x = u + -163. Let m be (1/(-30))/((-8)/24). Which is the closest to x? (a) 0 (b) m (c) -0.5 c Let g = 2083.1 - 2322. Let y = g + 239. What is the nearest to y in 2/21, -1, -3? 2/21 Let q = -757.8 - -758. Suppose 4*i + 169 = 161. Which is the closest to 0.1? (a) i (b) 3 (c) q (d) 0.1 d Let h = 717.1 + -717.6. What is the closest to 28 in h, -4/5, 6? 6 Let f = 80623/5 + -16124. What is the nearest to f in -2, 0.09, 120? 0.09 Let v = -11/50 + -1/450. Let o = 0.05 - -0.06. Let y = 0.21 - o. Which is the nearest to y? (a) -1/7 (b) v (c) -10 a Let i be -18 + 3 + 10 - (-17)/4. What is the nearest to -0.02 in -5, -2/7, i, 1/5? 1/5 Let w be ((-13)/((-390)/(-12)))/(9/10). Let d = 54.869 - 54.769. Let r = 0 + 0.4. What is the nearest to -0.1 in d, w, r? d Let l(a) = 3*a - 8. Let u be l(4). Let k = 19978 + -99456/5. Let s = k - 87. What is the closest to 1 in u, -0.04, s? -0.04 Let l(d) = 85*d - 174. Let t be l(2). Which is the nearest to -2/9? (a) 2/9 (b) -316 (c) t a Let z = -6.298 + 6.188. Which is the nearest to 1/4? (a) -3/4 (b) 2/9 (c) -3/8 (d) z b Let x = -30.45 - -35.45. What is the closest to 2/23 in -0.6, -2, x? -0.6 Let c = -59/2 + 29. Let t be 3/(-21) - 50/630. What is the nearest to c in 0.5, t, 2? t Let v = -75 + 95. Let m = 62 + v. Let w = -81.6 + m. What is the nearest to -1 in -2/25, w, -1/3? -1/3 Let t = -173554/9 - -19284. Suppose -2*z = -6 - 2. What is the nearest to 0.1 in -1, z, t? t Let j = 96723/386876 - 1/96719. Let k = 16 + -10. What is the closest to k in 1/7, j, 0.02? j Let y = 0.14 + -0.13. Suppose -20*i = -22*i + 38. Let z = i - 17. Which is the nearest to -2/5? (a) y (b) 0.3 (c) z a Let x = -489 - -488.96. Let t = 86 - 85.7. Which is the closest to -13? (a) 1 (b) x (c) t b Let l = -3746 + 3750. What is the nearest to -2 in l, 1/3, 0.2, -5? 0.2 Let k = -1458 + 891. Let u = k - -573. What is the nearest to 1/3 in 0.4, 5, u, -2/13? 0.4 Let
{ "pile_set_name": "DM Mathematics" }
ves of a litre in millilitres? 13500 Convert 0.814606 centuries to millennia. 0.0814606 What is 25.09283l in millilitres? 25092.83 Convert 758517.3mm to kilometers. 0.7585173 How many litres are there in 2969.69ml? 2.96969 How many nanograms are there in 5.245627 tonnes? 5245627000000000 What is 207981.7ug in kilograms? 0.0002079817 How many micrograms are there in 94.44559mg? 94445.59 What is 1.543883 millimeters in kilometers? 0.000001543883 What is seventy-two fifths of a litre in millilitres? 14400 How many kilograms are there in fifteen quarters of a tonne? 3750 How many months are there in eleven quarters of a decade? 330 Convert 4.171964um to kilometers. 0.000000004171964 What is 3/5 of a litre in millilitres? 600 How many grams are there in 7.215915 kilograms? 7215.915 How many months are there in one quarter of a decade? 30 Convert 48691.86 nanoseconds to minutes. 0.000000811531 What is 62.34459ns in seconds? 0.00000006234459 What is 995418.6cm in micrometers? 9954186000 What is 26/5 of a meter in centimeters? 520 How many years are there in 82.34204 centuries? 8234.204 Convert 4180.64 millennia to centuries. 41806.4 How many minutes are there in 139.51152 nanoseconds? 0.000000002325192 What is 73.8943 years in decades? 7.38943 What is 763671.9 microseconds in milliseconds? 763.6719 What is 54.5368 minutes in nanoseconds? 3272208000000 What is 8953.398l in millilitres? 8953398 How many centimeters are there in 5/4 of a meter? 125 What is 3/10 of a litre in millilitres? 300 How many centuries are there in 7.065632 years? 0.07065632 Convert 83277.91s to nanoseconds. 83277910000000 How many months are there in 9/25 of a century? 432 What is 3.097983ms in minutes? 0.00005163305 What is 44/5 of a centimeter in micrometers? 88000 How many months are there in 0.2100557 centuries? 252.06684 What is one twentieth of a milligram in micrograms? 50 Convert 0.3141565mm to centimeters. 0.03141565 Convert 0.32027km to centimeters. 32027 What is 5884.671 millilitres in litres? 5.884671 What is 0.6811922 kilograms in grams? 681.1922 Convert 169.82649ms to days. 0.000001965584375 How many decades are there in 1650195.6 months? 13751.63 Convert 38.61147ml to litres. 0.03861147 How many nanograms are there in 11/4 of a microgram? 2750 How many millilitres are there in 18/5 of a litre? 3600 What is five quarters of a hour in minutes? 75 How many millilitres are there in 583128.2 litres? 583128200 What is 5/4 of a millennium in years? 1250 How many seconds are there in thirty-one fifths of a minute? 372 How many microseconds are there in one twentieth of a second? 50000 What is 806.8326km in meters? 806832.6 How many decades are there in 24.27233 centuries? 242.7233 What is 171.5439 years in millennia? 0.1715439 How many nanometers are there in 4.700334m? 4700334000 How many nanometers are there in twenty-five quarters of a micrometer? 6250 What is 1/5 of a kilometer in centimeters? 20000 What is five eighths of a millimeter in micrometers? 625 How many minutes are there in 14/9 of a day? 2240 What is 9863.616 hours in weeks? 58.712 How many millennia are there in 948.3602 centuries? 94.83602 How many millennia are there in 17062.54 centuries? 1706.254 What is 1527925.2 months in decades? 12732.71 Convert 4.443035 centuries to millennia. 0.4443035 Convert 1.742005 kilograms to micrograms. 1742005000 What is 7263.183 decades in months? 871581.96 What is fifty-one halves of a centimeter in millimeters? 255 Convert 9784.221kg to nanograms. 9784221000000000 How many millilitres are there in twenty-one fifths of a litre? 4200 How many millilitres are there in one tenth of a litre? 100 What is twenty-nine halves of a meter in millimeters? 14500 What is twenty-one fifths of a microgram in nanograms? 4200 What is one tenth of a gram in micrograms? 100000 Convert 453.6714 litres to millilitres. 453671.4 Convert 6934.347mm to nanometers. 6934347000 What is 0.6452451 months in years? 0.053770425 What is twenty-seven fifths of a millisecond in microseconds? 5400 What is fourty-five halves of a millennium in decades? 2250 Convert 13444118.1 milliseconds to weeks. 0.02222903125 What is 3/5 of a litre in millilitres? 600 How many millilitres are there in 219.8071 litres? 219807.1 What is 7/8 of a milligram in micrograms? 875 How many nanograms are there in seven quarters of a microgram? 1750 How many months are there in four thirds of a year? 16 What is 5/8 of a decade in months? 75 How many decades are there in 52/5 of a millennium? 1040 What is 7/4 of a week in hours? 294 Convert 30217.41 milliseconds to seconds. 30.21741 What is 2/7 of a week in minutes? 2880 How many centimeters are there in 635.2399um? 0.06352399 How many grams are there in 5684.354 kilograms? 5684354 How many micrograms are there in 1/5 of a milligram? 200 What is 8/3 of a day in hours? 64 Convert 756.0636 months to years. 63.0053 Convert 177.3319 years to decades. 17.73319 How many meters are there in 8617.776nm? 0.000008617776 What is 5.839334l in millilitres? 5839.334 What is 923.2504 kilometers in nanometers? 923250400000000 What is 7.287345ug in grams? 0.000007287345 What is thirty-one fifths of a gram in milligrams? 6200 What is 45/4 of a millennium in years? 11250 Convert 378.58032ns to hours. 0.0000000001051612 How many grams are there in 57/5 of a kilogram? 11400 What is 214670.5 nanometers in micrometers? 214.6705 What is seven quarters of a week in hours? 294 How many hours are there in 4.8250674us? 0.0000000013402965 How many millilitres are there in 7131.397l? 7131397 How many months are there in 4/15 of a millennium? 3200 What is 9.148941 millilitres in litres? 0.009148941 What is 439170.6 nanograms in micrograms? 439.1706 What is 888150.8 centimeters in kilometers? 8.881508 How many millilitres are there in 74/5 of a litre? 14800 Convert 0.0555146ms to seconds. 0.0000555146 What is 808936.3m in kilometers? 808.9363 How many months are there in 1/30 of a decade? 4 What is 3/40 of a millennium in years? 75 Convert 0.7450184 micrograms to milligrams. 0.0007450184 How many decades are there in one fifth of a millennium? 20 How many nanograms are there in 348659.4 grams? 348659400000000 How many centimeters are there in eighty-one halves of a meter? 4050 How many nanoseconds are there in 1412.357 hours? 5084485200000000 How many minutes are there in sixteen ninths of a week? 17920 What is 7/4 of a kilometer in meters? 1750 How many nanometers are there in 6460.551km? 6460551000000000 What is 55559.95 days in hours? 1333438.8 What is 1871.5035 months in years? 155.958625 Convert 2.131309 micrograms to nanograms. 2131.309 How many nanograms are there in 11/4 of a microgram? 2750 What is fifteen quarters of a hour in seconds? 13500 What is 58/3 of a hour in seconds? 69600 How many milligrams are there in 71/4 of a gram? 17750 How many millimeters are there in seven halves of a centimeter? 35 How many millilitres are there in 1.856184 litres? 1856.184 What is 53895.73g in kilograms? 53.89573 Convert 89405.77 centuries to months. 107286924 What is 4102.23 years in months? 49226.76 What is 11/4 of a microgram in nanograms? 2750 What is 2/7 of a week in minutes? 2880 How many seconds are there in 3/32 of a day? 8100 Convert 293.4567 weeks to seconds. 177482612.16 How many nanograms are there in 20883.2 micrograms? 20883200 What is 77.95768nm in millimeters? 0.00007795768 Convert 7.928647 hours to minutes. 475.71882 What is 2.816572 litres in millilitres? 2816.572 What is 136.636mg in micrograms? 136636 What is twenty-one quarters of a micrometer in nanometers? 5250 What is fourty-nine quarters of a litre in millilitres? 12250 What is 25.3858t in milligrams? 25385800000 How many milliseconds are there in 5/4 of a minute? 75000 Convert 7.67622mg to micrograms. 7676.22 How many seconds are there in 83.5764 days? 7221000.96 What is one tenth of a kilogram in milligrams? 100000 What is one tenth of a microgram in nanograms? 100 What is 12.775482ns in minutes? 0.0000000002129247 How many milliseconds are there in 3/10 of a second? 300 What is 21/4 of a millennium in months? 63000 How many meters are there in 1/4 of a kilometer? 250 How many tonnes are there in 0.1537746 milligrams? 0.000000000153
{ "pile_set_name": "DM Mathematics" }