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timaeus
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pile-dm_mathematics

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270
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meta
dict
8*v**3. v**3 Collect the terms in v - 835410*v**2 + 2506216*v**2 - v - 835400*v**2 - 835404*v**2. 2*v**2 Collect the terms in -5 + 56600*u**3 - 4 - 393*u**3 + 9. 56207*u**3 Collect the terms in p**2 + 1284066*p**3 + 1291434*p**3 - 2575498*p**3 - p**2. 2*p**3 Collect the terms in -65237428*r**3 + 32618710*r**3 + 32618719*r**3. r**3 Collect the terms in -498*f**2 + 15681*f**2 + 4097*f**2 - 1811*f**2. 17469*f**2 Collect the terms in -5*r**2 - 38*r + 2986*r**3 - 1490*r**3 - 1499*r**3 + 5*r**2. -3*r**3 - 38*r Collect the terms in -133*g + 26056632*g**3 + 133*g - 26056625*g**3. 7*g**3 Collect the terms in -184*n + 1 - 1 - 126*n + 318*n + 243*n**2. 243*n**2 + 8*n Collect the terms in -5*d**2 + 843*d + 8*d**2 - 600*d - 243*d. 3*d**2 Collect the terms in 68181425 + 36*s - 68181425 - 8*s**2. -8*s**2 + 36*s Collect the terms in 4*t**3 - 313 - t**3 + 5*t**2 + 430. 3*t**3 + 5*t**2 + 117 Collect the terms in 6787872091 - 6*w - 49*w - 52*w - 6787872091. -107*w Collect the terms in -508 - 193*r**3 - 25568*r + 508 + 25568*r. -193*r**3 Collect the terms in 185*b**3 - 19028 - 391 - 75*b**2 - 184*b**3. b**3 - 75*b**2 - 19419 Collect the terms in 6 + 1342*n + 88 - 94. 1342*n Collect the terms in -1 + 80*q + 6*q**2 - 3 - 17 - 181*q + 81*q. 6*q**2 - 20*q - 21 Collect the terms in 224*k**2 - 11 - 18 - 223*k**2 + 52 - 11 - 12. k**2 Collect the terms in 6329*a**3 + 3010*a**3 - 1833 + 1835. 9339*a**3 + 2 Collect the terms in 103*h**2 + 34*h**2 + 81*h**2 - 463*h**2 + 78*h**2 + 77*h**2. -90*h**2 Collect the terms in -36*m**3 - 292*m**2 - 294*m**2 - 293*m**2 + 1169*m**2 - 290*m**2. -36*m**3 Collect the terms in o + 248 + 243 + 255 - 28*o**2 + 4*o - 746. -28*o**2 + 5*o Collect the terms in 2293*p + 2564*p - 3 + 1013*p - 145*p. 5725*p - 3 Collect the terms in -4012*l + 89 - 268 + 7601*l - 3596*l. -7*l - 179 Collect the terms in -9*w**3 + 23*w + 137 + 11*w + 13*w - 45*w. -9*w**3 + 2*w + 137 Collect the terms in 1004*d - 724*d - 751*d. -471*d Collect the terms in -2965 + 2965 + 15822*h. 15822*h Collect the terms in 81*u - 546*u - 148*u - 526*u. -1139*u Collect the terms in 17*h + 41695 - 20843 - 6*h - 20854. 11*h - 2 Collect the terms in -1067082*a - 10 + 85107*a + 10. -981975*a Collect the terms in m**2 + 2417*m**3 + 4*m**2 - 2447*m**3. -30*m**3 + 5*m**2 Collect the terms in -47978*c - 50629*c + 98608*c. c Collect the terms in 4*z**2 + z**2 - 1784*z - 2843*z + 1603*z. 5*z**2 - 3024*z Collect the terms in -158*r**2 + 237*r - 6 + 19*r**2 - 39*r**2 + 5. -178*r**2 + 237*r - 1 Collect the terms in 116*i**2 + 39 + 11*i - 121*i**2 + 13 - 4*i. -5*i**2 + 7*i + 52 Collect the terms in 40*v - 27*v + 3167*v**2 - 9544*v**2 + 3160*v**2 + 3207*v**2 - 13*v. -10*v**2 Collect the terms in -2060*h**3 - 18546*h**3 - 519 + 519. -20606*h**3 Collect the terms in 224226*n**3 - 449258*n**3 + 223549*n**3. -1483*n**3 Collect the terms in -27*a**3 - 622976*a**2 + 311484*a**2 + 311489*a**2. -27*a**3 - 3*a**2 Collect the terms in c**3 + 10*c**3 - 342257 + 342257 - 3*c + 3*c. 11*c**3 Collect the terms in -396 - 10*c - 2*c - 21*c - 397 + 788. -33*c - 5 Collect the terms in -1044255*l**2 + 1044255*l**2 + 1111*l**3. 1111*l**3 Collect the terms in -160*z**2 + 381*z**2 - 118*z**2 - 162*z**2 - 23*z**2. -82*z**2 Collect the terms in 18490 + 136*u**3 + 211*u**3 - 18490 - 344*u**3. 3*u**3 Collect the terms in 732*p + 494*p - 457*p + 755*p - 193*p. 1331*p Collect the terms in -484*c + 146*c**3 + 0*c**2 - 161*c**3 + 0*c**2. -15*c**3 - 484*c Collect the terms in 639086*k**2 - 1268*k**3 - 6 - 639086*k**2 + 6. -1268*k**3 Collect the terms in -960 + 2*y**2 + 313 + 317 + 330 + 492*y. 2*y**2 + 492*y Collect the terms in 2 + 25012*l - 5254*l + 31560*l - 10556*l. 40762*l + 2 Collect the terms in 304913*l**2 - 909265*l**2 + 306901*l**2 + 304617*l**2. 7166*l**2 Collect the terms in 8 + 3*r**2 + 465*r**3 + 44*r**3 - 5 - 19*r**3 + 276*r**3. 766*r**3 + 3*r**2 + 3 Collect the terms in 8*d**3 + 2941*d + 2938*d - 5861*d - 11*d**3. -3*d**3 + 18*d Collect the terms in 6182510*x - 21*x**2 - 12365023*x + 29*x**2 + 6182513*x. 8*x**2 Collect the terms in 50 - 37513*u - 37514*u + 75026*u. -u + 50 Collect the terms in 32*q - 43421570034053 + 43421570034053. 32*q Collect the terms in -57782050*n + 57782050*n - 145*n**3 - 239*n**3. -384*n**3 Collect the terms in -2424990*i + 18 - 45 + 14 + 13. -2424990*i Collect the terms in 57*r + 2795 - 1298 + 38*r - 1497 + 0*r. 95*r Collect the terms in -3332*s**3 - 3607*s**3 + 8912*s**3. 1973*s**3 Collect the terms in -106907*m**2 + 66*m - 66*m + 107936*m**2. 1029*m**2 Collect the terms in -92254*d**2 - 1432*d + 1432*d. -92254*d**2 Collect the terms in 10023*n + 139*n**3 + 10014*n - 20036*n. 139*n**3 + n Collect the terms in -c**2 + 2*c**2 - 3*c**2 - 286613*c**3. -286613*c**3 - 2*c**2 Collect the terms in 635*p - 10353*p**2 - 1217*p + 582*p. -10353*p**2 Collect the terms in 32780*v**3 - 4*v**2 + 2*v - 2*v - 33611*v**3. -831*v**3 - 4*v**2 Collect the terms in -38410*u**3 - 65315*u**3 + 103727*u**3. 2*u**3 Collect the terms in -1083*c**2 - 150*c**2 + 296*c**2 - 986*c**2 - 431*c**2. -2354*c**2 Collect the terms in -231*d + 21 - 239*d + 17 + 503*d. 33*d + 38 Collect the terms in -2*h**3 + 7878*h + 10884*h - 31713*h + 9910*h. -2*h**3 - 3041*h Collect the terms in -418*j**2 + 5128*j + 5145*j - 10272*j. -418*j**2 + j Collect the terms in -4826*m - 4848*m - 4823*m - 4819*m + 24131*m - 4819*m. -4*m Collect the terms in 1131 - 16*i**2 - 1131 - 63*i**2. -79*i**2 Collect the terms in -39425552839621 + 2*u**2 + 39425552839621. 2*u**2 Collect the terms in -3 + 5918508*z - 1972856*z - 1972851*z - 1972831*z. -30*z - 3 Collect the terms in 1447615375*t - 2895230753*t + 1447615381*t. 3*t Collect the terms in -25 - 11 + 6 - 15 + 69 - 24 - 25*x. -25*x Collect the terms in 233700*r**2 + 5 - 701099*r**2 + 233700*r**2 + 233696*r**2. -3*r**2 + 5 Collect the terms in 9332*v**2 + 8905*v**2 - 27841*v**2 + 8948*v**2. -656*v**2 Collect the terms in 28*w**2 + 2*w**3 - 28*w**2 + 91*w - 232*w - 690*w. 2*w**3 - 831*w Collect the terms in 23949*a - 47781*a + 23857*a. 25*a Collect the terms in -8944*p + 879*p - 5*p + 2 - 1. -8070*p + 1 Collect the terms in -28645*t**2 - 28390*t**2 - 28395*t**2 + 85413*t**2. -17*t**2 Collect the terms in -4*z**3 + 1004 - 502 + 0*z**3 - 500. -4*z**3 + 2 Collect the terms in 211 + 1214*j**2 + 762*j**2 - 211 + 775*j**2. 2751*j**2 Collect the terms in 62*m**2 - 29*m**2 - 1458 - 1462 - 1464 + 26*m**2 + 4382. 59*m**2 - 2 Collect the terms in 107564125*x - 3*x**2 - 107564125*x. -3*x**2 Collect the terms in 29*p + 67*p**2 + 66*p**2 - 281*p**2 + 65*p**2 + 66*p**2 - 25*p. -17*p**2 + 4*p Collect the terms in -10883 + 32398 - 10760 - 175*s**3 - 10755. -175*s**3 Collect the terms in 2 + 2*v - 2*v**2 - 1 - 511*v**3 + 52933*v**3. 52422*v**3 - 2*v**2 + 2*v + 1 Collect the terms in 26*g - 26*g - 17724800*g**2. -17724800*g**2 Collect the terms in -1306*n**3 + 914*n**3 + 1 + 393*n**3 - 7. n**3 - 6 Collect the terms in 28186910*q**2 - 28186917*q**2 - 11 + 11. -7*q**2 Collect the terms in -7 - 8 - 16 + 12 + 10*j + 3 - 11. 10*j - 27 Collect the terms in 1190*i**2 + 1048*i**2 - 550*i**3 + 154*i**3 - 2238*i**2. -396*i**3 Collect the terms in 301502*b + 301425*b - 602912*b. 15*b Collect the terms in -5 + 8 - 26608*v + 2 + v**3 - 5 + 26533*v. v**3 - 75*v Collect the terms in 48*n**2 + 194*n**2 + 3*n - 45 + 90 - 42 + 99*n**2. 341*n**2 + 3*n + 3 Collect the terms in 15986*s**2 + 14622*s**2 + 14620*s**2 + 14619*s**2 - 59815*s**2. 32*s**2 Collect the terms in -10751*a + 4288*a + 32910*a + 22215*a. 48662*a Collect the terms in 118140*h - 832*h**3 + 118136*h - 236276*h. -832*h**3 Collect the terms in -68078*h - 5 + 34038*h + 34037*h + 5. -3*h Collect the terms in -13 - 64240893*k**2 + 29 + 64240892*k**2. -k**2 + 16 Collect the terms in -386*f**3 - 3*f**3 + 141*f**3. -248*f**3 Collect the terms in -6 + 6 + 8363*c**2 + 2849*c**2. 11212*c**2 Collect the terms in -596*r**3 - 468*r**3 + 458*r**3. -606*r**3 Collect the terms in -71*z**2 + 13*z**3 - 259 + 67*z**2 - 8*z**3 + 9*z**3 + 130. 14*z**3 - 4*z**2 - 129 Collect the terms in -679*s**2 + 853*s**2 + 3 - 876*s**2 - 97*s**3 - 3. -97*s**3 - 702*s**2 Collect the terms in 3294*p**3 - 9354*p**3 + 2722*p**3 + 3279*p**3. -59*p**3 Collect the terms in -34*t**2 - 83*t + 2909*t + 215 - 215. -34*t
{ "pile_set_name": "DM Mathematics" }
6*b))**(22/9) assuming b is positive. b**(-572/9) Simplify (k/k**(2/21)*k**(-13)/k)**29 assuming k is positive. k**(-7975/21) Simplify ((b**(1/4))**(-26))**(24/7) assuming b is positive. b**(-156/7) Simplify (u**(-4)/(u**(2/7)*u))**12 assuming u is positive. u**(-444/7) Simplify a/(a**(-16/3)*a)*a**(-1/3) assuming a is positive. a**5 Simplify (s*s*s**1*s*s*s)**45/((s*s**(2/3)*s*s)/s**(-2/17)) assuming s is positive. s**(13577/51) Simplify (y/(((y/y**(-3/7))/y)/y)*(y*y**6)/y)**11 assuming y is positive. y**(583/7) Simplify (j*j**(-5))**(19/5) assuming j is positive. j**(-76/5) Simplify (h**(-17))**(17/5) assuming h is positive. h**(-289/5) Simplify ((d/(d/(d/(d*d**(-7/10)/d)*d)))/d)**(-29) assuming d is positive. d**(-493/10) Simplify (m/m**(2/57))**(5/4) assuming m is positive. m**(275/228) Simplify ((((s/(s**(1/2)/s))/s)/s)/s)**(-12/19) assuming s is positive. s**(18/19) Simplify (m**14)**46 assuming m is positive. m**644 Simplify (g**3*g/g**2)**(1/5) assuming g is positive. g**(2/5) Simplify (l/((l*l**(-2/25)*l*l)/l))/(l*(l*l**(-3/2))/l)*l/(l/((l*l*(l*l**(-2/15))/l)/l))*l*l/((l/(l/((l**(-1/2)/l)/l)))/l*l) assuming l is positive. l**(371/75) Simplify (z**(-7)/z*z**(3/5))/(z/z**(-3/4)*z/((z/(z/(z/z**3)))/z)) assuming z is positive. z**(-263/20) Simplify j**(2/9)*j**(-4) assuming j is positive. j**(-34/9) Simplify ((c*c**(-2/7))/c**(-1/4))/(c/c**(-1/11)*c*c**(-4)) assuming c is positive. c**(885/308) Simplify (c*(c/(c*c**(1/6)))/c*c*c)**(1/42) assuming c is positive. c**(11/252) Simplify b**8*b/b**(-2/5)*(((b**(1/3)/b)/b*b)/b)/b**(-5/4) assuming b is positive. b**(539/60) Simplify (o*(o/(o*o*o*o**(2/17)*o))/o*(o/(o**(1/6)/o)*o*o)/o)**(2/57) assuming o is positive. o**(-29/2907) Simplify n**(-10)/n**(-3)*(n*n/(n**1*n)*n)**(-21) assuming n is positive. n**(-28) Simplify (n**(-1/5)/n)**17*(n*n/n**(-2)*n)/((((n**(3/7)/n)/n*n)/n*n)/n) assuming n is positive. n**(-484/35) Simplify (r/(r*r**(-1)))**(-25)*(r**(-2/5))**(-35) assuming r is positive. r**(-11) Simplify f*f/f**(-20)*f*f*f*f*f**(-7/9) assuming f is positive. f**(227/9) Simplify ((q**(-4)/q*q)/q**(-5))**(-3/23) assuming q is positive. q**(-3/23) Simplify (u/(u**(-2/5)/u*u))**(-2/13)/(u**(1/2))**33 assuming u is positive. u**(-2173/130) Simplify (w**1)**0/((w/w**(-1/5))/w**(-8)) assuming w is positive. w**(-46/5) Simplify (m**9*m**(-8)*m)/((m/m**(-2))/m**(1/17)) assuming m is positive. m**(-16/17) Simplify (g**(-1/6))**(-3/4) assuming g is positive. g**(1/8) Simplify h/h**(-31)*h**(-37) assuming h is positive. h**(-5) Simplify (u/u**(2/7)*u*u/u**6)/(u**(2/7)*u**(-1)) assuming u is positive. u**(-18/7) Simplify (a**(-2)*a/a**(-6))**36 assuming a is positive. a**180 Simplify (b/(b*b**(-2/7)*b)*b*b/(b**(-2/7)/b*b*b)*b)/((b*b*b**0*b)/b**(2/9)) assuming b is positive. b**(-76/63) Simplify c**14/c*c/c**(-2) assuming c is positive. c**16 Simplify (s**(2/3)/s*s**2*s)**(7/6) assuming s is positive. s**(28/9) Simplify (g/(g/(g/(g/g**(-23)))))**5 assuming g is positive. g**(-115) Simplify (q**(-8)/(q*(q*q*q*q**4/q)/q*q))/(q**2*q**(-8/3)) assuming q is positive. q**(-43/3) Simplify (m**(1/4)*m*m)**14*m**(-4)*m*m**(-1/2)*m assuming m is positive. m**29 Simplify (f/(((f*f/(f*f*f**(3/4)))/f*f)/f)*f**(6/7))**(-21) assuming f is positive. f**(-303/4) Simplify ((y/(y/(y**(-2/5)*y)*y*y))**12)**(-10) assuming y is positive. y**168 Simplify (u**(-1/2)*u)/(u**(1/5)*u) assuming u is positive. u**(-7/10) Simplify (j/(j**(1/4)*j))**44 assuming j is positive. j**(-11) Simplify ((s*s**20*s)/s)**(-13) assuming s is positive. s**(-273) Simplify (x/x**5)/(x**(-25)/x) assuming x is positive. x**22 Simplify (i/(i*i*i/i**(-6/11)))/i**(-3/5) assuming i is positive. i**(-107/55) Simplify (g*g**5/g)/(g**(-42)/g) assuming g is positive. g**48 Simplify (k/(k**(2/11)*k)*k*k**(-2/5))/((k/(k*k/(k*k*k*k*k/(k/(k/((k*k/(k/k**1))/k)))*k*k)*k))/k)**(2/157) assuming k is positive. k**(3281/8635) Simplify (j**(-4)/j)/((j*j/(j**(-14)/j)*j)/j) assuming j is positive. j**(-22) Simplify (l**(-5)*l*l**(-3/5))/(l*l**6*l**(-6)) assuming l is positive. l**(-28/5) Simplify (b**1*b)**(1/5)/(b**(2/7)/(b*b**(-1/10))) assuming b is positive. b**(71/70) Simplify i**3/(i/(i*i/i**16)) assuming i is positive. i**(-12) Simplify (f**0)**(-5/3)*(f**4*f)/f*(f**(-3/4)*f*f*f*f*f)/f*f assuming f is positive. f**(33/4) Simplify ((r**2)**(-4/7))**(-2/27) assuming r is positive. r**(16/189) Simplify y**(4/5)*y*(y/(y*y**(-1/3)))/y*(y**(-3)/y*y)/y**(1/2) assuming y is positive. y**(-71/30) Simplify (((s/(s*s**1))/s)**27)**(-26) assuming s is positive. s**1404 Simplify ((o/o**(-14))/(o/(o/o**11)))**(1/34) assuming o is positive. o**(2/17) Simplify x**8*x/x**(-2/7)*x**(2/21)/(x/(x*(x**9*x*x)/x)) assuming x is positive. x**(407/21) Simplify (t*t*t**28)/t**(4/17) assuming t is positive. t**(506/17) Simplify u**(3/4)*u/(u*u**(-5))*(u**(3/4)/u)/u*u**(-2/7)/u assuming u is positive. u**(45/14) Simplify (f**(-30)*f)**(-23) assuming f is positive. f**667 Simplify (r/(r/r**(-2/19)))**(-6/29) assuming r is positive. r**(12/551) Simplify (h/(h*h/h**(-2)*h))**16*h**(-1/3)*h*h**(4/7) assuming h is positive. h**(-1318/21) Simplify (r*r*r**(-2)*r)**(-1/3)/(r*r*r/r**(1/4))**1 assuming r is positive. r**(-37/12) Simplify ((o/o**(-4/9))/(o/((o**(3/7)/o*o*o*o)/o)))/(o/(o/(o*(o*o**(-1/3)*o)/o)*o*o)*o)**44 assuming o is positive. o**(-1730/63) Simplify (w/(w*w**5*w)*w**(-2/5))**(1/34) assuming w is positive. w**(-16/85) Simplify (m*m*m/(m*m/((m**(14/11)*m)/m))*m)**(6/11) assuming m is positive. m**(216/121) Simplify (j*j*j**0)**(-7)/(j*j**(-7)*j*j/j**(-7)) assuming j is positive. j**(-17) Simplify (t*t*t/(t/t**(-2)*t))/(t*t**(1/5)) assuming t is positive. t**(-11/5) Simplify (a**(1/2))**13*(a/a**(-2)*a)/(a**(2/5)*a) assuming a is positive. a**(91/10) Simplify (c**(-18))**(-16) assuming c is positive. c**288 Simplify (f*f**(1/7)*f*f*f)/(f/(f/(((f*f/(f*f*f*f**(-3)))/f)/f)))*(f*f*f**(-5)*f*f*f)/(f*f**2) assuming f is positive. f**(8/7) Simplify (t*t**(-5)*t*t**(1/12))**(9/4) assuming t is positive. t**(-105/16) Simplify ((s**(-2/3))**23)**(-3/7) assuming s is positive. s**(46/7) Simplify (g**(-5)/g)**(-2/51) assuming g is positive. g**(4/17) Simplify g/(g/g**(-3))*g*(g*g/(g*g/(g/(g**(-18)/g*g))))/g assuming g is positive. g**16 Simplify a**4/a**(1/12) assuming a is positive. a**(47/12) Simplify (((h**(1/3)*h)/h)/(h/(h**(-1/6)/h)))/(h**(-2/5))**(-6/11) assuming h is positive. h**(-677/330) Simplify q**(-1)*q**9 assuming q is positive. q**8 Simplify (f**(-7))**(-47) assuming f is positive. f**329 Simplify (p**17)**(-3/5) assuming p is positive. p**(-51/5) Simplify (h**0*h*h**(-3/7))/((h*h/(h*h**(2/5)))/h)**(-1/2) assuming h is positive. h**(13/35) Simplify (s**(2/35)*s**(2/75))**(2/45) assuming s is positive. s**(88/23625) Simplify (z/z**2)**(3/22)/(((z/z**0)/z)/z*z)**(3/25) assuming z is positive. z**(-3/22) Simplify (p*p*p**(-2/11)*p/((p**8/p*p)/p))/(p**2)**(-17) assuming p is positive. p**(328/11) Simplify (g**(2/9))**(-7/3)*g/(g**(-3/8)/g)*(g/g**(-3/2)*g*g)/g assuming g is positive. g**(1157/216) Simplify y**(-1)/y**(-5/4)*(y**3/y)**(-10/13) assuming y is positive. y**(-67/52) Simplify (n*n**(3/34))**(-34) assuming n is positive. n**(-37) Simplify (v/(v/v**(-1/2))*v)**0*(v**(2/7)/v)/(v/v**4) assuming v is positive. v**(16/7) Simplify w/w**(-3/10)*w**12 assuming w is positive. w**(133/10) Simplify q**(2/17)/q**(5/7) assuming q is positive. q**(-71/119) Simplify x**(-1/4)*x**(5/6)*(x/x**(-4/7))/(x*x**1) assuming x is positive. x**(13/84) Simplify i/i**(2/13)*i*i*i**(-2) assuming i is positive. i**(11/13) Simplify (i**(2/33)/i**0)**(-4/25) assuming i is positive. i**(-8/825) Simplify (c/((c*(c**(-2/29)/c)/c)/c))**(-3/5) assuming c is positive. c**(-267/145) Simplify ((y*y**6/y)/y**6)**21 assuming y is positive. 1 Simplify (j**23/j)**(-19) assuming j is positive. j**(-418) Simplify ((m*m*m*m*m**(1/6)/m*m)/m)/(m*m**(2/5)*m)*m**6/m*m**(2/17) assuming m is positive. m**(3001/510) Simplify (o*(o/(o**8/o*o))/o*o)/o**(-1/5)*o**8*o**(-2/23) assuming o is positive. o**(243/115) Simplify u**(-2/51)/u*u/((u*u/u**(-2/7))/u*u) assuming u is positive. u**(-830/357) Simplify u*u/((u**(-6)/u)/u)*u*u/u**4*(u/u**(-2))**12 assuming u is positive. u**44 Simplify (x**6/(x**(1/9)*x))/((x*x/x**0)/x**(-1)) assumi
{ "pile_set_name": "DM Mathematics" }
) = k - 3. Let x(z) = -z + 2. Let r(u) = -3*o(u) - 5*x(u). Let b(v) = q*y(v) - 2*r(v). Give b(-4). 3 Let q(k) = -5*k**3 - 2*k**2 - 2*k - 1. Let n(l) = -l + 4. Let r = 11 + -4. Let i be n(r). Let c be 1/(i/3 - 0). Determine q(c). 4 Suppose -6*q + 68 + 82 = 0. Let j(o) = -50 + o + q + 23. Suppose 10 = 2*c - 0. Give j(c). 3 Let c be (-6)/(-3) + (-1 - -4). Suppose 2*h - 1 = o, 4*o + 1 = c. Let v(z) = 19*z + h - 12*z - 6*z. Determine v(5). 6 Let l be (13/26)/(2/12). Let t(a) = -5*a + 3. Let y(z) = -5*z + 3. Let u(h) = l*y(h) - 2*t(h). Suppose 0 = -5*b + 6 + 9. Calculate u(b). -12 Let y(k) be the second derivative of -k**5/20 - k**4/4 + k**3 + 5*k**2/2 - 2*k - 143. Give y(-4). -3 Let g(p) = 20 - 6 - 13*p + p**2 + 2 + 24*p + 10. Calculate g(-5). -4 Let l(v) = 2*v - 2. Let r = 1291 - 1288. Determine l(r). 4 Let f(k) = -k**3 + 7*k**2 - 8*k + 18. Let n(x) = x - 3. Let u(i) = -f(i) - 5*n(i). Determine u(5). -38 Let h(b) = 1407*b + 1 - 1402*b + 0. Let l(w) = -w**2 + 5*w + 7. Let v be l(6). What is h(v)? 6 Let r(w) be the second derivative of -w**6/120 + w**5/10 - 7*w**4/24 - w**3/3 + 33*w**2/2 - 11*w. Let k(c) be the first derivative of r(c). Give k(5). -12 Let l(u) = -11 + u - 8 + 1 + 7. Give l(10). -1 Let q(v) be the first derivative of -1/2*v**2 + 12 - 8*v. Determine q(-6). -2 Let l(b) = 3*b - 7. Let z(g) = -g**3 - 3*g**2 + 2*g - 1. Suppose -8*p + 25 = -3*p, -2*q + 2*p - 16 = 0. Let v be z(q). Let k = v - -12. What is l(k)? 8 Let r(j) = j**2 - 7*j**3 - 9*j**3 + 14*j**3 - 3 + 2*j. Suppose -2*l = -l - 2. Suppose 5*t + l = -5*y - 8, 3*t + 4*y + 10 = 0. Give r(t). -11 Let j(m) = m**3 - m**2 + 12*m + 3. Let b(h) = -3*h**3 + 4*h**2 - 34*h - 8. Let a(g) = 4*b(g) + 11*j(g). Let t = 2 + 2. Determine a(t). 1 Let u = -314 + 318. Let j(g) = -4*g**2 + 5*g + 2 + 0*g + 3*g**2. Calculate j(u). 6 Suppose 13*h = 5*h + 24. Let f(l) = 3*l - 3. Calculate f(h). 6 Let a(o) be the second derivative of -o**6/120 + 7*o**5/60 + 7*o**4/24 + o**3/6 + 4*o**2 - 12*o. Let i(t) be the first derivative of a(t). Determine i(8). -7 Let o(r) = 4*r**3 + r**2 - 1. Let v be 2*-3*(-1)/(-6). Let f be -2*v/2 + 24. Suppose 5*p = 5*q - f, -4*q + 1 = p - 14. Determine o(p). -4 Let d(b) = 6*b - 3. Let f(y) = 7*y - 4. Let p(v) = -5*d(v) + 4*f(v). Suppose 0 = 2*i - 5*q - 21, 25 - 1 = 5*i - 3*q. Determine p(i). -7 Let f be (-31)/4 - (11 - (-258)/(-24)). Let a(o) = -3*o**2 - 22*o + 4. What is a(f)? -12 Let i(j) = j**2 + 5*j - 9. Let z(c) = 10*c**2 + 7*c + 4. Let p(w) = 11*w**2 + 8*w + 4. Let s(a) = 4*p(a) - 5*z(a). Let d be s(-1). Calculate i(d). 5 Suppose f = -x - 3 - 2, f + 3*x + 9 = 0. Suppose 8 = 5*a - 7. Let g(i) = 3*i + 4 - a*i - 3*i + i. Give g(f). 10 Let i(m) = -2*m - 13. Let d(b) = -2*b - 12. Let k(l) = -7*d(l) + 6*i(l). Determine k(-6). -6 Let c(r) = -2*r**2 + 3*r + 3. Let w(h) = -8*h - 9. Let a(f) = -f + 1. Let g(v) = -6*a(v) + w(v). Let m be g(-9). Calculate c(m). -6 Let w = -34 + 48. Suppose -5*h - 8 = -4*j - 18, -5*j + 1 = -4*h. Let d(b) = -h*b - 6*b + w*b. What is d(-3)? -6 Let u = -3378 - -3383. Let y(m) = 5 - 1 - 3*m + 0. What is y(u)? -11 Let y be (-2)/1 - -7 - -1. Let q(r) = 3 + 4*r - 4*r - 4 - r + 7. Calculate q(y). 0 Let n(f) = 3*f**3 - 2*f**2 + 6*f + 13. Let k = 200 - 195. Let l(d) = -7*d - 3*d**3 - d**3 + 0*d**3 + d**2 - 14. Let p(w) = k*n(w) + 4*l(w). Give p(-6). -3 Let c(g) = g**3 + 12*g**2 + 11*g - 7. Let h be 12/9*165/(-20). What is c(h)? -7 Let k be 8/20 - 8/(-5). Let l(f) = 1 + 5*f**2 - 9*f**2 + f**2 - k*f + 6*f**2. Let i = 3 - 2. Calculate l(i). 2 Let r(g) be the first derivative of g**3/3 - 7*g + 104. Let d = 0 - 0. Calculate r(d). -7 Let d(x) = 2*x + x**3 + x**2 + 3 - 5 - 4*x. Let c be 81/54*3/(27/(-12)). Give d(c). -2 Let i be 6/(-15) + (-4)/(-10). Suppose -3*z - 2*z = i. Let l be (z - 3)/3*1. Let v(u) = -12*u**3 + u**2. What is v(l)? 13 Let s(a) = 3*a**2 - 4*a + 3. Let t(x) = -2*x + 24. Let n(f) = -2*f + 24. Let b(v) = -6*n(v) + 5*t(v). Let z be b(13). Determine s(z). 7 Let m(c) be the first derivative of c**2 - 4*c - 268. Give m(-9). -22 Let g(o) be the second derivative of -11*o**3/3 - o**2 - 12*o + 3. Calculate g(-1). 20 Let s(w) be the first derivative of w**3 - 2*w**2 - 4*w - 392. What is s(-1)? 3 Let d(k) = -1 - 2*k + 2 + 3*k. Let l(g) = -6*g**2 + 80*g - 81. Let b be l(1). Give d(b). -6 Let c(f) = -f - 5. Let a(u) = 2*u**2 + 239*u + 9*u**3 - 2 - 239*u. Let k be a(-1). Calculate c(k). 4 Let j be 740/(-222) - (-1)/((-1)/(-4)). Let h(f) be the third derivative of 0 - f**2 - 1/12*f**4 + 0*f - j*f**3. What is h(-6)? 8 Let s(w) = -254*w - 6*w**2 + 511*w - 3 - 258*w + w**3. Let o = 74 + -68. Calculate s(o). -9 Let f(g) be the third derivative of -7*g**6/60 + g**5/60 - 72*g**2. What is f(1)? -13 Suppose 4*m = -t + 20, -m = -4 - 1. Suppose 4*j + 5 - 1 = t. Let n(o) be the first derivative of 4*o**2 - o - 3. What is n(j)? -9 Let g be 6 - 2 - (2 + -1). Let j be ((-2)/(-4))/(g/18). Let m(n) = 3*n**j - 5 - n**2 - n**3 - 3*n**3 + 1. Give m(0). -4 Let p(a) be the second derivative of a**5/20 - 5*a**4/12 - 7*a**3/6 + a**2/2 - 22*a. Determine p(6). -5 Suppose 270 = -30*r + 3*r. Let f(v) = -v - 11. Give f(r). -1 Let d(i) = -30*i + 53*i - 12 - 22*i. Give d(0). -12 Let m(j) = j**3 + 2*j**2 - j - 2. Let o(d) = -d**3 - d**2 + d + 1. Let i(b) = 4*m(b) + 5*o(b). Calculate i(4). -15 Let k(w) = 5*w**3 - 3 + 2 + w**3 - 2*w**2 + 2*w. Suppose 0 = 4*t - 4 - 4. Let o = -1 + t. Determine k(o). 5 Let f(s) = 9*s**3 + s**2 - 4*s + 2. Let n = -140 - -141. What is f(n)? 8 Suppose 28*v + 23*v = 153. Let t(l) = 2*l**3 - 3*l**2 - 3*l - 3. Determine t(v). 15 Let a(i) = 10*i**2 + 18*i + 10. Let w(d) = 7*d**2 + 12*d + 7. Let s(b) = -5*a(b) + 7*w(b). Give s(-4). 7 Let x(m) = -m**3 - 7*m**2 - 6*m - 7. Let c(j) = j**2 - 25*j + 40. Let i be c(23). Calculate x(i). -7 Suppose 4*a + 0 = -8. Let u(n) = 3*n - 3. Let r(s) = 2*s - 2. Let p(o) = r(o) - u(o). Let f be p(a). Let g(b) = b**2 - 2*b - 4. Give g(f). -1 Let t(j) = -j - 7. Let w(u) = 2*u**2 + 6*u + 5. Let i be w(-5). Suppose 4*c - 41 + 13 = -4*o, 4*o = -3*c + i. Let p be 0*o*(-1)/(-8). Calculate t(p). -7 Let v(n) = -2*n**3 - 5*n**2 - 4*n - 2. Let d = -81 + 78. Calculate v(d). 19 Let z be 3/2*56/42. Let g(c) = c**2 + 5 - 2 - 3 - z*c. Suppose -2*h - 46 + 40 = 0. Give g(h). 15 Let c(o) = -6*o + 5. Let q(u) = -5*u + 4. Let t(v) = -4*c(v) + 5*q(v). Let w = 3557 - 3550. Calculate t(w). -7 Let x(u) = -u**3 + 9*u**2 - 7*u - 3. Let f = -147 - -155. Give x(f). 5 Let u(r) be the third derivative of -r**6/120 - r**5/10 - r**4/4 - r**3 - 18*r**2 + 6*r. Determine u(-5). -1 Let i(g) = -g**3 + 5*g**2 + 8*g + 7. Let w(z) = -z**2 - 2*z. Let t(r) = -i(r) - 4*w(r). Calculate t(0). -7 Let o(y) = -y. Let f be o(-3). Suppose 3*t + 7 - 40 = 0. Let k(r) = -4*r**2 + t*r**3 - 8 + r**2 + 4 + 4*r - 10*r**3. What is k(f)? 8 Let g(j) = j**2 + 5*j - 3. Let z(x) = x**3 + 2*x**2 - 3*x. Let p be z(2). Let h be (-9)/15 - 54/p. What is g(h)? 3 Let s(h) = 0*h - 34787 - 8*h + 34794 + 0*h + 3*h**2. Determine s(3). 10 Suppose 0 = -13*j - 8*j - 105. Let v(q) = q**2 + 3*q. Determine v(j). 10 Let v(a) = a - a**2 - 5*a - 5 + 10. Let g = -5 + 10. Suppose 4*z - 26 = 5*n, -3*z = 3*n + 26 - g. Determine v(n). -7 Let t(k) = -k**3 - 4*k**2 + 3*k - 5. Suppose -4*a - 9 = -5*r, 0 = -a + 2*a - 4*r + 5. Suppose -2*v = -2*d - 10 - 12, -v = -5. Let h = d - a. Give t(h). 5 Let i(n) = 11317 - 11326 + 2*n + 4*n - 7*n. Suppose 2*u - 30 + 8 = 4*c, 0 = 2*c - 4*u + 14. Calculate i(c). -4 Let l(m) be the first derivative of m**4/4 + 7*m**3/3 - 7*m**2/2 - 2*m - 362. Let g(q) = q - 8. Let r be g(0). Determine l(r). -10 Suppose t - 5*y - 38 = 0, -t = t - 3*y - 48. Let z(q) = -q**2 + 18*q - 10. What is z(t)? -10 Let f be (1/(-2))/(((-36)/(-8))/(-9)). Let d(c) = c - 1. What is d(f)? 0 Let w(m) be the second derivative of m**3/6 + 3*m**2 - 20*m - 1. Calculate w(-5). 1 Let t(c) = -c**3 + 7*c**2 - 2*c + 11. Let u be t(7). Let p be (u/(-5))/((-4)/20). Let d(f) = 2*f**2 + 4*f + 3. Give d(p). 9 Let f(r) = -3*r**2 + 2*r + 1. Let p be 1*20*(0 - -1). Let u = -17 + p. Let c(x) = -x**2 + 3*x + 2. Let a be c(u). Calculate f(a). -7 Let l(t) = 7*t + 217. Let v be l(-30). Let j(m) be the third derivative of 0*m**3 + 1/12*m**4 + v*m**2 - 1/60*m**5 + 0*m + 0. Determine j(3). -3 Let u(s) be the first derivative of -s**3/3 + s**2 - s + 3. Le
{ "pile_set_name": "DM Mathematics" }
-z + 10. Let v = z + 8. List the prime factors of v. 2 Let r(i) be the third derivative of 0 + 0*i**4 + 1/2*i**3 + 2*i**2 + 1/60*i**5 + 0*i. What are the prime factors of r(-3)? 2, 3 Let h(y) = y**2 + 11*y + 12. What are the prime factors of h(-10)? 2 Let h = -8 + 8. Suppose h = -3*d + 3 + 27. List the prime factors of d. 2, 5 What are the prime factors of ((-35)/(-20) - 1) + (-402)/(-8)? 3, 17 List the prime factors of ((-28)/(-6) - 1)/((-4)/(-72)). 2, 3, 11 Let j(m) = -m**2 - 3. Let l be j(0). List the prime factors of (-1 + 36)*l/(-3). 5, 7 Suppose 4*s - 4*l - 9 = -1, 2*s - 8 = 4*l. Suppose -q = -3*k + 3, -q - k + 4 + 1 = s. List the prime factors of q. 3 Let d = -41 - -107. Suppose d - 23 = o. What are the prime factors of o? 43 Let q(c) = -5*c + 11. Let u(p) = -4*p + 10. Let f(n) = -5*q(n) + 6*u(n). Let v be f(0). Suppose -i - 3 = -v*a, 3*a = 3*i + 1 - 4. List the prime factors of i. 2 List the prime factors of 2/(-1 + (-186)/(-182)). 7, 13 Let d be 1/2*-2 + 1. Suppose -4*g = -3*w - 2*g + 34, d = -3*g + 12. List the prime factors of w. 2, 7 Suppose q - 4 = 2*q. Let l(v) = -v**2 - v - 3. Let g(j) = j**2 + j + 3. Let c(m) = 6*g(m) + 5*l(m). What are the prime factors of c(q)? 3, 5 Suppose 0 = 5*b - 10, -3*d + 4 + 193 = -5*b. List the prime factors of d. 3, 23 List the prime factors of (-8)/(1 - -1)*-9. 2, 3 Suppose -5*q - 5*m + 45 = 0, 3*q + 4*m - 9*m - 27 = 0. Suppose -6*i = -3*i - q. List the prime factors of 0 - ((2 - i) + -5). 2, 3 Let k(d) = d**2 - 2*d. Let p be k(3). Let y(h) = -1 + 3 - 7*h - p. List the prime factors of y(-3). 2, 5 Suppose 0 = -2*h - 4*h + 300. List the prime factors of h. 2, 5 What are the prime factors of ((55/10 - 4) + -3)*-244? 2, 3, 61 Suppose 6*s - s + 2*x - 28 = 0, s = -5*x + 24. Suppose 40 + s = 4*k. List the prime factors of k. 11 What are the prime factors of (-336)/(-8) - (-2 + 0)? 2, 11 Suppose 4*v + 9 - 107 = -2*t, -2*v - 86 = -2*t. Let a = -29 + t. What are the prime factors of a? 2 Suppose -4*b - 4*g + 60 = 0, -2*g + 12 = -6*g. Let a = 64 - 61. Suppose -u = -a*u + b. List the prime factors of u. 3 Let a(j) = -2*j**2 + 130. List the prime factors of a(0). 2, 5, 13 Suppose -9*l + 7*l = -208. What are the prime factors of l? 2, 13 Suppose 20 = 8*b - 3*b. Suppose -4*t + 91 = 3*j, 3*j = b*t + 2*j - 71. What are the prime factors of t? 19 Suppose 5*i = 0, -i = m - 0*m - 294. What are the prime factors of m? 2, 3, 7 Let g = -6 + 10. Let x be 40*((-3)/5 - -1). Suppose -x = w - 0*w - g*d, -5*d = -25. List the prime factors of w. 2 What are the prime factors of (-9)/3 - -8 - -3? 2 Suppose -2*s + 14 = 2*g, -4*s + 4*g = -5 + 17. List the prime factors of (-184)/(-16) - s/(-4). 2, 3 Let g = 365 + -197. What are the prime factors of g? 2, 3, 7 Suppose 2*o + 3*o = 10. List the prime factors of o. 2 Let n be -2*(-2)/(-4)*-5. Let m be (-1)/2*2 - -18. Suppose n = -3*k + m. What are the prime factors of k? 2 Let c be (84/10)/((-9)/(-60)). Let g = c - 30. Let a = 38 - g. What are the prime factors of a? 2, 3 Suppose 0 = 2*q - 5*q + 6. Suppose -2*u = -q*f + 4*f - 8, -4*u + 4*f = 8. List the prime factors of -19*(u - (-6)/(-3)). 19 Let l(f) = 4*f**2 - f + 1. What are the prime factors of l(5)? 2, 3 Suppose -5*y - 262 = -2*i + 92, 0 = 4*y + 3*i + 274. Let c = y - -125. What are the prime factors of c? 5, 11 Suppose 59*r - 62*r + 384 = 0. What are the prime factors of r? 2 Let b be ((-6)/4)/((-4)/(-24)). Let p(n) = -n**2 - 9*n + 7. What are the prime factors of p(b)? 7 Let m be -17*(-1 - (-2)/1). What are the prime factors of 6 - 3 - 1*m? 2, 5 Suppose 0 = -2*d + d + 30. Let i = d - 15. List the prime factors of i. 3, 5 List the prime factors of (30/(-25))/((-4)/30). 3 Let n(m) = 12*m**2 + 3*m. List the prime factors of n(-2). 2, 3, 7 Let n = 48 - -6. What are the prime factors of n? 2, 3 Suppose -4*s - 2*o + 20 = -4*o, 0 = -4*s - 2*o + 20. Suppose 4*u + 64 = 4*z, s*z = 4*u + 11 + 71. What are the prime factors of z? 2, 3 Let j = -83 - -163. What are the prime factors of j? 2, 5 Let m be (-2)/8 - 7208/(-32). Suppose m = 5*q - 5*z - 0*z, 4 = -z. List the prime factors of q. 41 Suppose 3*x + 9 = m - 2*x, 1 = 5*m - 3*x. Let a(n) = -8*n**3 - 2*n**2 - 2*n - 1. What are the prime factors of a(m)? 7 Let w = -1 - -5. Let g = 2 - w. List the prime factors of (g/3)/(4/(-54)). 3 Let q(m) = -m**3 + 3*m - 2. Let y be q(2). List the prime factors of y/(-2) + -4 + 5. 3 Suppose -13*x = -5*x - 40. List the prime factors of x. 5 Suppose -2*n - 4*a + 196 = a, n = -5*a + 98. What are the prime factors of n? 2, 7 Suppose 3*n = -3*p - p + 48, p + 5*n = 12. Suppose -5*i = -i - p. List the prime factors of (12 - 7) + (i - 1). 7 Let b be 11/(-44) - (-25)/4. List the prime factors of (-95)/(-2) - b/(-4). 7 Let m(y) = 31*y**2 - 2*y - 1. Let z = -14 - -13. List the prime factors of m(z). 2 Let q be (0 + (-39)/(-6))*16. Suppose 5*m = m + q. What are the prime factors of m? 2, 13 Let i = 26 + -3. Let f = i - 86. What are the prime factors of 6/8 - f/28? 3 Suppose -5 = r + 1. Let t = r + 0. List the prime factors of (-2)/6 - 44/t. 7 Let f(m) = m**2 + 4*m - 5. What are the prime factors of f(5)? 2, 5 Let x(h) = -h**3 + 8*h**2 + 2*h. Let b be x(8). Suppose n = -0*n + b. List the prime factors of n. 2 Let o be -2 + (2 + 0 - -1). Let d(s) = 7*s**3 + 2*s**2 - 2*s + 1. List the prime factors of d(o). 2 Let n(q) = -q**2 - q + 1 + 4 - 11*q. Let x = -41 - -29. What are the prime factors of n(x)? 5 Suppose -3*d - 117 = -2*v, -d = -2*v + 4*d + 119. What are the prime factors of v? 3, 19 Let n(o) = -2*o + 19. List the prime factors of n(8). 3 Let v = 1 + -4. Let c(b) = b**2 + 8*b - 9. Let w(u) = u**2 + 8*u - 10. Let f(r) = v*c(r) + 2*w(r). List the prime factors of f(-8). 7 Let d(n) = n**3 + n**2 - n + 11. Let s = -14 + 20. Let q = -6 + s. What are the prime factors of d(q)? 11 Let l(w) = 9*w**3 + w**2. Let u be l(-1). Let b be (-2)/u + 3/4. List the prime factors of 6 - (-1)/b*1. 7 Let h = -79 - -116. List the prime factors of h + -2 + 12/3. 3, 13 Let c = 17 - -9. What are the prime factors of 2 + c + 4/(-4)? 3 Let j = -28 - -50. Let c be (-4)/j - 180/(-22). List the prime factors of 140/18 + c/36. 2 Suppose -6*o + 112 + 146 = 0. List the prime factors of o. 43 Suppose 3*j + 1 = -4*g - 0*g, 0 = 4*g - 3*j - 17. Suppose -g*n + 9 - 3 = 0. List the prime factors of -2 - (-4 + 2)*n. 2 Suppose 2*r + 6 = 4*r. Let w(t) = 9*t - 7. What are the prime factors of w(r)? 2, 5 Suppose q + 0*q = -14. List the prime factors of q/(-8)*(-1 - -5). 7 List the prime factors of (-1 + (-163)/(-5))*(-4 + 9). 2, 79 Suppose -b + r + 35 = -2*r, -2*b + r + 75 = 0. List the prime factors of b. 2, 19 Suppose -120 = -3*g - 2*g. Let y = g + -12. What are the prime factors of y? 2, 3 Suppose 53 = -5*c - 2*d, 3*c + 1 + 14 = 3*d. What are the prime factors of (4/(-2))/(c/126)? 2, 7 Let l(w) = w - 3. Let y be l(11). Let h = y + 3. What are the prime factors of h? 11 Let r(s) = -s + 10. What are the prime factors of r(-5)? 3, 5 Let q = 216 - -189. What are the prime factors of q? 3, 5 Suppose -o - 7 = 5*l, 0*l = 2*o + 5*l - 6. Suppose -4*w - 17 = -w + 2*k, -2*w + 4*k = 22. Let n = w + o. List the prime factors of n. 2, 3 Let z = 39 - 27. What are the prime factors of z/1*63/27? 2, 7 Suppose 4*y - 1104 = 4*l, -5*l = -5*y - 9*l + 1344. List the prime factors of y. 2, 17 Let z be 8 - (2 - 0) - 1. Let v = z + -6. List the prime factors of 0 + 1 + v + 12. 2, 3 Let m(q) = 36*q**3 - q**2 - 2*q + 2. What are the prime factors of m(2)? 2, 3, 47 Let r(b) = -b**3 - 4*b**2 + 4*b + 6. Suppose 0 = -3*z - 16 + 1. List the prime factors of r(z). 11 Suppose -l + p - 3*p + 359 = 0, -3*l - 3*p + 1074 = 0. What are the prime factors of l? 3, 7, 17 Let s(d) = -3*d - 1. What are the prime factors of s(-1)? 2 Let b(t) = 3*t**2 + 5*t + 6. What are the prime factors of b(-8)? 2, 79 Let g(f) = f**2 + 5*f - 2. Let p be g(-6). Suppose 2*v - p = v. What are the prime factors of v? 2 Suppose 0 = -c + 5*c - 8. Let n = c + 0. List the prime factors of n. 2 Let w be -2 - (3/3 + -34). Suppose 3*l + 4*i - 84 + w = 0, 2*i - 49 = -3*l. List the prime factors of l. 3, 5 Let w(t) = t**2 + 7*t - 5. Let f be w(-7). Let v = -4 - f. What are the prime factors of 2*(v - -1) - 1? 3 Let j = -200 - -350. Suppose 5*f + j = 3*b, b + 20 - 70 = -2*f.
{ "pile_set_name": "DM Mathematics" }
(k) = 372*k**2 + 2*k. Does 17 divide z(1)? True Suppose -4*n + 8*n - 3*j = 498, 136 = n + 5*j. Is 9 a factor of n? True Let w = -66 + 101. Let b = 68 - w. Is 6 a factor of b? False Suppose 0 + 4 = d. Let x = d + -1. Suppose 0 = 2*t - x*t + 20. Is 5 a factor of t? True Suppose -118 = -3*k - 34. Let s = -26 + k. Is (-2)/((-34)/(-18) - s) a multiple of 9? True Suppose -12261 = -11*o + 2479. Does 48 divide o? False Let d(m) = m**2 - 10*m + 4. Let p be d(10). Suppose p*b + 0*b = 76. Does 8 divide b? False Let g = -48 - -60. Let d = g + 92. Is 47 a factor of d? False Let y = 65 - 62. Let a(n) = 5*n**3 - 2*n**2 - 3*n - 2. Does 7 divide a(y)? False Suppose -5*t - a + 705 = 0, 0 = -2*t - 0*t + 4*a + 260. Does 35 divide t? True Suppose k - 83 - 25 = 0. Suppose 3*s - 3*q + 7*q = 23, -7 = -3*s + 4*q. Suppose s*p - 2*x - k = 0, -4*p + 152 - 59 = 5*x. Does 11 divide p? True Let l(h) be the first derivative of -h**4/4 + 7*h**3/3 + 7*h**2/2 + 12*h + 5. Is 16 a factor of l(7)? False Let v be 21 + (-1)/(3/9). Suppose -3*r + v = -12. Does 9 divide r? False Let b be (24/10)/((-2)/(-25)). Let t = -26 + b. Is 23 a factor of 22/(-4)*-16 + t? True Let h(m) = 3*m**2 + 2*m + 1. Let t be h(-2). Let b = t + -9. Suppose j - 11 - 5 = b. Is 5 a factor of j? False Let a = -38 + 55. Let r(l) = l**2 + 1. Let f be r(2). Suppose 13 + a = f*s. Does 4 divide s? False Let y be -1 + 3 + -1 + 11. Is 8 a factor of ((-27)/3)/(1*y/(-64))? True Let o(g) = 4*g**2 + 8*g + 4. Let t be o(-7). Suppose 16*j + t = 18*j. Is j a multiple of 18? True Let w(g) = g**2 - g - 1. Let x be w(4). Suppose 0 = -9*a + x*a - 140. Is 15 a factor of a? False Let m(x) = x**2 + 3*x - 43. Is m(-13) a multiple of 29? True Let l(r) = -22*r + 4. Let d(a) = 7*a - 1. Let o(h) = -10*d(h) - 3*l(h). Let q be o(-2). Let b(j) = 5*j + 6. Is 18 a factor of b(q)? True Suppose -5*r - 15 = 0, -4*m - 5 = -0*r + 3*r. Does 13 divide 84 + (2 + m - 1)? False Let m = 174 + -124. Does 5 divide m? True Let h(y) = -y**2 - 6*y - 3. Suppose 26 = -3*k + 2*m, 2*k + 4*m = -1 + 5. Let g be h(k). Does 4 divide (10/g)/((-4)/6)? False Let d(k) = 3*k + 6. Let x be d(-3). Let f(z) = -z**3 + z**2 - z - 2. Is 10 a factor of f(x)? False Let w(f) = 6*f - 7. Suppose -4*d = -4*l + 56, -4*l + 60 = l + 5*d. Let r = l - 8. Is w(r) a multiple of 6? False Suppose -4*c + 45 = y - 7, 56 = 3*c + 5*y. Is 42 a factor of 584/14 + 2 + c/(-7)? True Suppose 4*w = -2*h + 22 + 14, 4*w - 32 = -4*h. Let r = -4 + w. Suppose -2*s + 94 = -r. Does 25 divide s? True Let r(c) be the second derivative of 4*c**4/3 - c**3/3 - 7*c**2/2 - 2*c. Does 6 divide r(-2)? False Let z be (249/2)/3*-8. Let a = -211 - z. Does 21 divide a? False Suppose 3*n = -3*s - 0*n + 933, 1587 = 5*s - 3*n. Does 9 divide s? True Let a(v) = 2*v**2 - 3*v + 1. Let q be a(2). Let s(g) = 43*g - 2. Is s(q) a multiple of 36? False Is 17 a factor of (155/(-6) + 15/45)*-44? True Let x = 32 + -31. Let w be -145*(6/15 - x). Suppose 3*j = 39 + w. Is 21 a factor of j? True Suppose 0 = -3*r + 2*k + k - 9, -2*r + k = 3. Is 6 a factor of (-6)/((-2)/(8 - r))? True Let n = 41 + 232. Suppose -3*a = -10*a + n. Is a a multiple of 19? False Let u = -297 - -597. Does 75 divide u? True Let d be (2/6)/((-3)/6102*-6). Suppose d = -3*f + 413. Is f a multiple of 25? True Is 7 a factor of 132/(-2)*(-70)/30? True Suppose -u = u - 14. Let d = 13 - 12. Let q = u - d. Is q a multiple of 6? True Suppose -334 = -3*l - p + 52, 0 = 5*l + 3*p - 638. Is 26 a factor of l? True Let f = -49 - -71. Let p = 26 - f. Let x = 10 - p. Is x even? True Let x = -199 + 67. Let a(z) = 2*z**3 + z**2 - 1. Let r be a(-1). Does 12 divide (1/(r/x))/2? False Suppose 41*c - 58320 = 5*c. Is 54 a factor of c? True Let c(t) = t**3 - 9*t**2 + 13*t - 1. Let u be c(8). Is 20 a factor of 1 - (-4 - u - -4)? True Suppose 82*k = 87*k - 20. Suppose -y + 416 = k*r, 0 = 5*y - 6*y + 4. Is r a multiple of 28? False Let x(q) = -8*q - 24. Let k = 24 - 25. Let s be (-3 - (k + -3))*-7. Is 16 a factor of x(s)? True Let n(a) be the third derivative of a**6/120 + a**5/60 - a**4/24 + 13*a**3/6 + 10*a**2. Let r be 0*(0 - 0 - 1). Does 13 divide n(r)? True Let l be 3 + (0 - 4 - 0). Let g be 39/(-13)*(l - 0). Suppose 3*h - 12 = 0, g*h + h + 27 = v. Does 14 divide v? False Suppose f - 2*q = 31, 3*f - q - 61 = -3*q. Let j(x) = x + 67. Is 9 a factor of j(f)? True Let j(f) = 116*f**3 + 6*f**2 - 15*f + 3. Is 37 a factor of j(2)? True Let t be 11/11 - (-19 + -1). Suppose t*n = 20*n + 100. Does 25 divide n? True Suppose 0 = 4*i - 25*n + 29*n - 1164, 4*n = -2*i + 588. Is 15 a factor of i? False Suppose 0*x - 2*x = -20. Let o = -8 + x. Suppose -14 = -o*s - 4*j + 48, -3*s + 5*j = -60. Is s a multiple of 10? False Let v be (4 + -3)*10/2. Suppose 95 = v*c - 385. Is 24 a factor of c? True Let v(w) = 16 + 0*w + w - w + w. Does 5 divide v(4)? True Let w(v) = -18*v - 12. Suppose -5*b = 14 + 11. Does 33 divide w(b)? False Let q(o) = 6*o - 7. Let g be q(5). Suppose 2*k - g = 1. Does 25 divide 978/21 + k/28? False Suppose 2*u - 8*u + 1824 = 0. Is 17 a factor of u? False Suppose 12*j - 10*j - 640 = 0. Is 8 a factor of j? True Let d = 43 - -197. Let r be (24/10)/(4/d). Suppose 4*o - 2*y - 198 = 0, 5*y - 2*y = 3*o - r. Does 17 divide o? True Suppose 9 = 2*j + 37. Let x = -64 - -120. Let h = j + x. Does 16 divide h? False Is 48032/72 - 5/(-2 + 47) a multiple of 25? False Suppose -d - 2*w + 204 + 79 = 0, -d = 3*w - 282. Does 13 divide d? False Let b(k) = -81*k + 93. Is b(-5) a multiple of 42? False Is 56 a factor of (-10)/(-4) - (-38114)/76? True Let r = 160 + -136. Is r a multiple of 6? True Let o(i) = i**2 + i + 6. Let z(u) = -u**3 + 9*u**2 - 9*u + 11. Let w be z(8). Suppose 3 = -j - w. Is 9 a factor of o(j)? True Let z(h) = h**2 + h + 680. Does 34 divide z(0)? True Suppose -4*x = 5*q - 139, -4*x + 41 + 89 = 2*q. Let h be -1*(-3)/(-3) - 2/2. Is 28 a factor of h + (-3 - -2) + x? True Let m be (14/(-21))/(2/(-6)). Suppose 4*x - 2*a = 14, x + a - 13 = -m*x. Suppose -x*b + 29 = -71. Is 25 a factor of b? True Does 5 divide 617750/625 - 2/5? False Let c be (-1)/((-3 - -4)/(-37)). Let b = c + -20. Is 3 a factor of b? False Let m = 1584 + -198. Is 14 a factor of m? True Let f = -6 - -10. Suppose -420 - 296 = -f*r. Suppose 5*g = g - s + 183, -r = -4*g - 5*s. Is 23 a factor of g? True Is (135*4/80)/(1/12) a multiple of 27? True Let o = 17 - 12. Let s be 0 - -29 - (-3 + o). Suppose -4*c = -p + s, -15 = -c + 6*c. Is p a multiple of 8? False Does 42 divide (-112 - -3146) + 1*-10? True Let f = -173 - -203. Does 5 divide f? True Let u(w) = -w**3 - 27*w**2 + 6*w - 38. Is 49 a factor of u(-29)? True Let u(h) = 107*h + 543. Is 18 a factor of u(3)? True Does 109 divide (-97 + -12)/(3/(-58 - -1))? True Let t = 4 + -1. Suppose -5*p = -10, 0 = 5*b - 2*p - t*p. Suppose -f = b*f - 45. Is 7 a factor of f? False Let j(h) = -2*h + 235. Does 5 divide j(38)? False Suppose 5*g + 17*g = 3520. Is 19 a factor of g? False Let x(j) = -9*j - 51. Let w(c) = -3*c - 17. Let p(z) = 7*w(z) - 2*x(z). Is p(-15) a multiple of 7? True Suppose 0*t + 6*t - 18 = 0. Suppose -2*c + 275 = 5*y + t*c, 0 = 2*c - 2. Is y a multiple of 32? False Let p = -114 + 177. Does 9 divide p? True Let q(h) = 2*h + 125. Does 19 divide q(-11)? False Does 28 divide 474 + -3 + (-7 + -1 - -13)? True Let u(z) = -z**2 - 3*z + 3. Let b(a) = -a + 1. Let j(i) = 4*b(i) - u(i). Let l be j(1). Let p = l - -10. Is p a multiple of 3? False Let g = 37 + 323. Does 17 divide g? False Let s be -3*1/3*0. Suppose 2*z + z + 18 = s. Is (z - -6) + (-128)/(-4) a multiple of 4? True Let x(s) = s**3 + 3*s**2 + 3*s. Let d be x(-2). Is ((1 - d)/1)/(6/16) a multiple of 2? True Suppose -3*b + 960 = -r, -2*r - 2*r = -2*b + 650. Does 14 divide b? False Let c = 16 - 12. Let k be c/(-26) + (-32)/(-208). Suppose 0*l - 5*l + 275 = k. Is 11 a factor of l? True Suppose -w + 7 = 18. Is 8 a factor of ((-1)/(-1))/(w/(-583))? False Is 21 a factor of 23112/81 - (-2)/(-6)? False Is 1/4 - 3306/(-24) a multiple of 7? False Let j be 4/(-3) - 12/(-9). Let o(l) = -l**2 + 3*l + 4. Let b be o(3). Suppose -b*i = -w + 99, -2*w - 2*i - 21 + 189 = j. Is w a multiple of 10? False Let n = 13 - 26. Let k = n - -22. Suppose 0 = -5*b - h + 67, k*h - 4*h = -15. Is b a multiple of 5? False Suppose 12 = 2*r + r. Let p(n) = n**2 + 12*n +
{ "pile_set_name": "DM Mathematics" }
, 1007, -0.2, -0.4? -0.2 What is the fifth smallest value in 4/5, -14, 0.4, -8, -2/9? 4/5 What is the fourth smallest value in -1, -1.1, 0.4, -0.07, -0.1? -0.07 What is the third smallest value in 0.05, 2, 0.12? 2 Which is the second biggest value? (a) -0.3 (b) 23 (c) -0.31 a Which is the biggest value? (a) -2 (b) 0.2 (c) 4/3 (d) -265/11 c Which is the smallest value? (a) -0.5 (b) 0.7 (c) 40/3 a What is the second biggest value in -14.4, 2/11, 5? 2/11 What is the second smallest value in 4/11, -5, -2/7? -2/7 Which is the third smallest value? (a) -6 (b) 215 (c) -4/7 b What is the fourth smallest value in 0.03, 3, -0.46, -5, -0.5? 0.03 What is the third smallest value in -2/9, 36/7, -0.18? 36/7 What is the biggest value in -23/3, 3, -2/31? 3 Which is the second smallest value? (a) -0.5 (b) -3 (c) 1 (d) -0.1 (e) -19 b Which is the fourth biggest value? (a) 0.4 (b) 1 (c) -2/489 (d) -1 (e) -5 d What is the second smallest value in -2, -0.2, 11, 5? -0.2 What is the fourth biggest value in 0, -765, 0.3, -3, 2? -3 What is the smallest value in 81/10, -1, 9/4? -1 Which is the second biggest value? (a) -134 (b) 0.1 (c) -5 (d) 1/6 b What is the biggest value in -2/13, -0.244, 0.1? 0.1 Which is the smallest value? (a) -80 (b) 1.3 (c) 0.3 (d) 1 a What is the second smallest value in 41, 2/9, 17? 17 Which is the fourth biggest value? (a) 0.04 (b) -2 (c) -21.3 (d) -5 (e) 3 d Which is the third biggest value? (a) 2 (b) 4 (c) -2 (d) -7 (e) -2/11 e Which is the smallest value? (a) -119 (b) 1/6 (c) 5 (d) 8 a Which is the smallest value? (a) -5/3 (b) 0.4 (c) 3/4 (d) 4 (e) -2/33 a Which is the third biggest value? (a) 4 (b) 1/6 (c) -0.14 c Which is the second smallest value? (a) 45 (b) -3 (c) 0.8 c What is the smallest value in 2/9, 0.1, 0, 5? 0 Which is the second biggest value? (a) -0.1 (b) 8 (c) 11 (d) -0.06 b Which is the fifth biggest value? (a) -5 (b) 4 (c) 81 (d) 7 (e) 0.5 a What is the fourth smallest value in 0.2, -7, -0.5, 10? 10 Which is the third biggest value? (a) -728 (b) 1/5 (c) 0.1 a What is the biggest value in 2/5, -50, 3, 0.1? 3 What is the second smallest value in 0.47, -3/71, -5? -3/71 What is the biggest value in 1/5, 4, 74? 74 What is the second smallest value in -0.5, 13, -4/3, 1/6? -0.5 What is the second biggest value in -1902, 0.5, -1? -1 Which is the fourth smallest value? (a) -0.1 (b) 0.08 (c) 4 (d) 184 d Which is the smallest value? (a) -1 (b) 0.1 (c) -9.5 c Which is the third smallest value? (a) -0.3 (b) -4.7 (c) 3 (d) 0.1 d What is the second smallest value in -0.21, -0.4, 0.08, -1/3? -1/3 What is the third smallest value in -15, -1, 0.03? 0.03 Which is the second biggest value? (a) -39/28 (b) 0.1 (c) 4 b What is the third smallest value in 4, -1/3, -667? 4 What is the second smallest value in -1, 1/2, -1670, -0.1? -1 What is the smallest value in -4, 4, -10.4, 1? -10.4 What is the third biggest value in -3, 30, -0.02? -3 What is the second smallest value in -2, 3/4, -30? -2 What is the fourth biggest value in -0.5, 2, -1/4, 12, 0.4? -1/4 What is the smallest value in 2, -14, 9? -14 Which is the fourth biggest value? (a) 4/5 (b) -4 (c) -2/111 (d) 2 b Which is the second smallest value? (a) -2 (b) -29 (c) 0 (d) 0.5 a What is the second biggest value in 54, -2, -1/6, 5? 5 Which is the fourth biggest value? (a) 1/3 (b) 2 (c) 5 (d) 11 a Which is the third smallest value? (a) -7 (b) -58 (c) -2/7 c Which is the second smallest value? (a) 1 (b) -10 (c) 8 a What is the biggest value in -2.8, -0.2, 0.1, 0.018? 0.1 What is the smallest value in -1, 0.069, 6? -1 Which is the biggest value? (a) 0.1 (b) -0.5 (c) -87 a Which is the third smallest value? (a) -2 (b) -6 (c) 3 c Which is the biggest value? (a) 2/17 (b) -3/7 (c) 0.003 a Which is the second biggest value? (a) -27 (b) 4 (c) -0.4 (d) 9 b What is the third biggest value in 12, 0.03, 0.3, 5? 0.3 What is the third biggest value in -1/2, -0.1, -1, -12? -1 Which is the biggest value? (a) 2/3 (b) 3 (c) 10.7 c What is the second smallest value in -5, -3/7, -2, -4, 22? -4 Which is the fifth smallest value? (a) 0 (b) -0.4 (c) -3/5 (d) -12 (e) 1 e What is the smallest value in -3, 4, 85? -3 Which is the second smallest value? (a) 0.2 (b) -1 (c) -2 (d) -5 c What is the fifth smallest value in -1, 3/7, -0.5, 19.7, 3? 19.7 What is the fourth smallest value in 4/19, -0.07, -1/3, 5, -4/9? 4/19 What is the second smallest value in -281, 18, 1? 1 Which is the second biggest value? (a) -4/7 (b) -19 (c) -3/10 a What is the third biggest value in 2/3, 0.3, -0.9? -0.9 Which is the second smallest value? (a) 0.65 (b) 5 (c) -7 (d) -4 d What is the biggest value in 2, -4, -1, -7.9, 6/7? 2 Which is the biggest value? (a) -0.2 (b) 0.4 (c) 28 c Which is the second biggest value? (a) 0.4 (b) 1/13 (c) 0.2 (d) 0.5 a Which is the third smallest value? (a) -14 (b) -3 (c) 1/3 c What is the fourth biggest value in 33, 1, 0.4, -11, 5? 0.4 What is the second biggest value in 0.3, 3/7, 2/7, -4? 0.3 What is the fourth biggest value in 1/2, 2/7, -0.4, 76? -0.4 What is the fourth smallest value in -65/6, -0.2, 4, -2/3? 4 Which is the fourth biggest value? (a) 2/17 (b) 0 (c) -16 (d) 2/13 c What is the third biggest value in -0.2, 0, -2/3? -2/3 What is the smallest value in 1/933, -3/2, 5? -3/2 What is the smallest value in 2/7, -4, -6? -6 Which is the second biggest value? (a) -1 (b) -0.065 (c) -3/4 c What is the third smallest value in -2, 2, 9/2, 24, 4? 4 What is the fourth biggest value in 0.5, -5/4, 2/15, -1, 41? -1 What is the second biggest value in 1/2, -1/10, 2, -44? 1/2 Which is the third biggest value? (a) 2/11 (b) 19 (c) -1/3 (d) 0.3 (e) -0.4 a Which is the third smallest value? (a) 2 (b) 1/5 (c) -2/5 (d) 26 a What is the fourth smallest value in 19.4, -3, 10/3, 5? 19.4 What is the fourth smallest value in -0.3, 0, -1/3, -0.5? 0 Which is the fifth biggest value? (a) -2 (b) 5 (c) 4 (d) 0.02 (e) -0.4 a Which is the fourth smallest value? (a) 0 (b) 21 (c) 0.3 (d) 5 b Which is the fifth smallest value? (a) -0.3 (b) 18 (c) 1/3 (d) 7 (e) -4 b Which is the second biggest value? (a) 4 (b) -2/3 (c) 1 (d) -2/5 c What is the second biggest value in 3, 2/9, 9? 3 Which is the fourth smallest value? (a) 6/11 (b) -5 (c) 1 (d) -2/13 c What is the fourth biggest value in -0.5, -1/3, 9/16, 3? -0.5 Which is the fourth biggest value? (a) -3 (b) 4 (c) 0 (d) 43 a What is the second biggest value in 1/4, -1681, 0.5? 1/4 Which is the smallest value? (a) -0.3 (b) 5 (c) -130 (d) -3 c What is the second biggest value in 1/6, 4, -8, -71? 1/6 Which is the smallest value? (a) -4 (b) 520 (c) 0.2 (d) -3/2 a Which is the second biggest value? (a) -13 (b) 0.15 (c) 3 (d) 5 c What is the smallest value in -135, -5, 1/3, -3? -135 What is the third smallest value in 0, -27, 2? 2 Which is the biggest value? (a) 2 (b) 0.1 (c) -3 (d) 5/201 a What is the second biggest value in 0.36, -0.7, -4, -0.2, 0? 0 Which is the third smallest value? (a) -0.3 (b) 4/3 (c) 23.3 (d) 2 (e) -4 b What is the biggest value in 0.2, -2/3, -9, 5/2, 2? 5/2 Which is the fifth smallest value? (a) 0.01 (b) 3 (c) -1/7 (d) -2/3 (e) -1 b What is the third smallest value in 5, 30, 0.1? 30 What is the smallest value in -0.5, -0.3, 65? -0.5 What is the second smallest value in 0.1, -22, 0? 0 What is the third smallest value in 3/10, 0.01, -5? 3/10 What is the fourth smallest value in 4, 2.91, -4, 6, -0.4? 4 What is the smallest value in -36/29, 3/5, -1/2? -36/29 Which is the second smallest value? (a) -3/8 (b) 160 (c) -2 a Which is the third biggest value? (a) 2 (b) 124/7 (c) 0.05 c What is the second smallest value in 2.47, -4, -2/11? -2/11 Which is the fourth biggest value? (a) -1/3 (b) -0.1 (c) 11 (d) 1/4 a Which is the second smallest value? (a) -57 (b) 2 (c) 2/5 c Which is the third biggest value? (a) -1 (b) -5/4 (c) 1/7 (d) 1/9 (e) 0 e Which is the third smallest value? (a) 129 (b) 6 (c) -5 a Which is the fifth biggest value? (a) 32 (b) 0 (c) -1/4 (d) 1/398 (e) 3/4 c Which is the biggest value? (a) 44 (b) -5/3 (c) 0.2 (d) 2 a What is the seco
{ "pile_set_name": "DM Mathematics" }
What is prob of sequence wn? 1/60 Three letters picked without replacement from ppgppppgp. Give prob of sequence ppp. 5/12 Calculate prob of sequence hdxx when four letters picked without replacement from jjjddjjddxhxxdhdd. 1/680 Three letters picked without replacement from qriitjq. What is prob of sequence jit? 1/105 What is prob of sequence jt when two letters picked without replacement from {t: 13, j: 5}? 65/306 What is prob of sequence fo when two letters picked without replacement from odsssufssssfuos? 2/105 Calculate prob of sequence bd when two letters picked without replacement from {z: 1, b: 3, w: 2, d: 6, s: 3}. 3/35 Calculate prob of sequence sb when two letters picked without replacement from {s: 1, b: 4, j: 1, c: 1, i: 2}. 1/18 What is prob of sequence wwtt when four letters picked without replacement from ytwttttwttwttttttyy? 13/1292 What is prob of sequence ah when two letters picked without replacement from eaaexeeehaahebhaa? 9/136 Calculate prob of sequence siin when four letters picked without replacement from cscicnic. 1/840 What is prob of sequence qw when two letters picked without replacement from qwqqqqqqqqqqwqwq? 13/80 Four letters picked without replacement from wwreweeter. Give prob of sequence ettt. 0 Four letters picked without replacement from vzllzv. Give prob of sequence vzlv. 1/45 Four letters picked without replacement from xyrppxypxrxpyprpy. Give prob of sequence yrrx. 1/595 Four letters picked without replacement from {j: 4, k: 3, m: 3, o: 2, e: 4, h: 2}. Give prob of sequence ojej. 1/765 What is prob of sequence zm when two letters picked without replacement from {e: 5, r: 1, b: 9, m: 1, z: 2}? 1/153 Three letters picked without replacement from {t: 9, y: 4, c: 6}. Give prob of sequence ycy. 4/323 Two letters picked without replacement from gggugggugggggguguuu. Give prob of sequence gg. 26/57 Calculate prob of sequence ee when two letters picked without replacement from eeeeefefffeefffffeef. 9/38 What is prob of sequence jv when two letters picked without replacement from {j: 1, v: 1, b: 1, u: 1, s: 1}? 1/20 Four letters picked without replacement from pmlpmmlpmd. What is prob of sequence ldlp? 1/840 Calculate prob of sequence dg when two letters picked without replacement from vnvgdneene. 1/90 Calculate prob of sequence gy when two letters picked without replacement from yyygggyygggy. 3/11 What is prob of sequence ttt when three letters picked without replacement from kkkkkttktttdktttttt? 55/323 What is prob of sequence ggd when three letters picked without replacement from {p: 1, w: 2, g: 5, y: 1, d: 1}? 1/36 Calculate prob of sequence zh when two letters picked without replacement from llzhhlllz. 1/18 Three letters picked without replacement from eeeeeeoeeeeeeeeeoe. What is prob of sequence eoe? 5/51 Calculate prob of sequence sc when two letters picked without replacement from cscsccs. 2/7 Four letters picked without replacement from {m: 3, q: 1, n: 2, d: 1}. What is prob of sequence nmmm? 1/70 Two letters picked without replacement from {j: 1, r: 6, p: 1, w: 4, x: 1}. Give prob of sequence xj. 1/156 What is prob of sequence yud when three letters picked without replacement from uduuuuyyuudu? 4/165 What is prob of sequence wt when two letters picked without replacement from {t: 1, b: 1, z: 6, y: 4, f: 3, w: 1}? 1/240 Three letters picked without replacement from zqqqsszspzvvsqqsps. What is prob of sequence vpq? 5/1224 Four letters picked without replacement from {p: 3, n: 5}. What is prob of sequence nnpn? 3/28 Three letters picked without replacement from {n: 2, u: 2, x: 4, r: 2}. What is prob of sequence rnu? 1/90 Calculate prob of sequence ia when two letters picked without replacement from {y: 2, e: 1, o: 1, i: 1, a: 1, t: 1}. 1/42 Calculate prob of sequence qqq when three letters picked without replacement from qqqqqqqqq. 1 Three letters picked without replacement from syryzzi. What is prob of sequence rzi? 1/105 Three letters picked without replacement from klqkkxmoxlkx. Give prob of sequence qom. 1/1320 Four letters picked without replacement from hlhhhhhhhlhhh. What is prob of sequence lhlh? 1/78 Two letters picked without replacement from {m: 7, i: 1}. Give prob of sequence mm. 3/4 Three letters picked without replacement from avmamfmfmaaaa. Give prob of sequence mva. 2/143 Two letters picked without replacement from {i: 1, j: 1, h: 3, b: 5, x: 1, p: 2}. Give prob of sequence hh. 1/26 Calculate prob of sequence lye when three letters picked without replacement from ylffeuuz. 1/336 What is prob of sequence tttt when four letters picked without replacement from {r: 2, t: 7}? 5/18 What is prob of sequence uyyu when four letters picked without replacement from xuyxyxuyyxxyy? 1/286 What is prob of sequence ltfg when four letters picked without replacement from {j: 1, l: 2, t: 2, f: 6, g: 4}? 4/1365 What is prob of sequence ur when two letters picked without replacement from urtruttyttuutttyy? 1/34 Calculate prob of sequence yywy when four letters picked without replacement from wtwbyytytyya. 1/99 Calculate prob of sequence eeeu when four letters picked without replacement from {u: 3, e: 17}. 2/19 Calculate prob of sequence hqh when three letters picked without replacement from {q: 1, h: 3, g: 2, f: 6}. 1/220 What is prob of sequence hdh when three letters picked without replacement from hhhhdhd? 4/21 What is prob of sequence bq when two letters picked without replacement from {f: 3, q: 1, b: 13}? 13/272 Two letters picked without replacement from {o: 1, k: 1, l: 1, d: 1, i: 1, t: 2}. Give prob of sequence do. 1/42 Three letters picked without replacement from {g: 3, x: 2, o: 1, q: 1, e: 3}. Give prob of sequence goe. 1/80 What is prob of sequence uaa when three letters picked without replacement from aauauuaauuuuauau? 9/80 Calculate prob of sequence tkn when three letters picked without replacement from {k: 3, t: 5, n: 1}. 5/168 Three letters picked without replacement from qqvvqqqq. Give prob of sequence qvv. 1/28 Four letters picked without replacement from cocoddoccdo. What is prob of sequence dcoo? 1/55 What is prob of sequence yqqn when four letters picked without replacement from {u: 1, m: 1, y: 4, z: 1, n: 1, q: 4}? 2/495 Calculate prob of sequence zzzz when four letters picked without replacement from zzzz. 1 Calculate prob of sequence yj when two letters picked without replacement from qpmmyjgj. 1/28 Four letters picked without replacement from {z: 3, v: 9}. What is prob of sequence zvvv? 7/55 Two letters picked without replacement from nnnnn. Give prob of sequence nn. 1 Two letters picked without replacement from yus. Give prob of sequence us. 1/6 Calculate prob of sequence lq when two letters picked without replacement from {r: 1, j: 5, l: 4, q: 6}. 1/10 Four letters picked without replacement from {a: 1, g: 1, h: 5, x: 2}. What is prob of sequence xahh? 5/378 Three letters picked without replacement from iiiioriii. What is prob of sequence ior? 1/72 Calculate prob of sequence jq when two letters picked without replacement from {q: 3, i: 1, t: 4, j: 3, g: 7}. 1/34 Calculate prob of sequence ggx when three letters picked without replacement from gxshsgsxxxgsxxghhx. 7/408 Four letters picked without replacement from yyyyyyyyyy. Give prob of sequence yyyy. 1 What is prob of sequence susb when four letters picked without replacement from {u: 4, b: 1, s: 2, v: 8, n: 1}? 1/5460 What is prob of sequence en when two letters picked without replacement from {u: 9, n: 2, e: 1, d: 1}? 1/78 Three letters picked without replacement from {q: 1, t: 5, p: 1, n: 3, d: 1, i: 1}. Give prob of sequence dqt. 1/264 Calculate prob of sequence plbn when four letters picked without replacement from qbphpnhbnnbl. 1/660 Two letters picked without replacement from {s: 5, h: 7, i: 2}. What is prob of sequence hs? 5/26 Three letters picked without replacement from rrrjrjjrrrrrrrrr. What is prob of sequence jjr? 13/560 Calculate prob of sequence dd when two letters picked without replacement from {p: 1, d: 8, l: 2, q: 4, m: 1}. 7/30 Four letters picked without replacement from tttlltttltl. Give prob of sequence ttll. 7/110 Four letters picked without replacement from {s: 7, f: 3, g: 2}. What is prob of sequence sgg
{ "pile_set_name": "DM Mathematics" }
p**2 - 20*p - 20. Give d*u(v) + j*m(v). -4*v**3 Let z(f) = 736*f**2 - 828*f + 138. Let g(y) = y**2 + 6*y - 1. Determine -138*g(w) - z(w). -874*w**2 Let z(v) = -5*v**3 + 3*v**3 + 4*v**3 - 5. Let w(m) = -m**3 + 2. Let u(d) = 2*d + 17. Let b be u(-8). Suppose -5*h + b + 9 = 0. Calculate h*z(i) + 5*w(i). -i**3 Let c(u) = -u**2 + 1. Let p(r) = 53*r + 29. Let o be p(-1). Let x(f) = -40*f**2 + 24. What is o*c(b) + x(b)? -16*b**2 Let i(r) = -4*r. Let c(j) be the second derivative of -7*j**3/2 - j**2/2 + 9*j - 2. Calculate 2*c(g) - 11*i(g). 2*g - 2 Let j(m) = m**2 - 4*m - 4. Suppose -f + 30 = 5*f. Let u(a) = f + 1 - 5*a - 11 + 2*a**2. What is 4*j(n) - 3*u(n)? -2*n**2 - n - 1 Let z(g) = -4*g**2 - 10*g. Let x(d) = 4*d**2 + 8*d. Calculate 6*x(r) + 5*z(r). 4*r**2 - 2*r Let a(q) = q**3 - 1. Let s(o) = -o**3 - 1. Let n = -614 + 615. Give n*a(b) - s(b). 2*b**3 Let p(w) = 0*w - 2*w - 2*w + 355 - 357. Let d(y) = -y - 1. Let l = 1 - 2. Give l*p(a) + 2*d(a). 2*a Let q(i) = -2*i. Let x = -49 + 48. Let z(v) = -3*v - 2 + 1 + 4*v. Let j be z(x). Let c(h) = h**2 - 6*h. Give j*c(s) + 7*q(s). -2*s**2 - 2*s Let p(m) = -8*m**3 + m - 1. Let d(w) = -w**2 - 20*w + 123. Let u be d(-25). Let n(k) = -k**3 + k - 1. Determine u*p(t) + 2*n(t). 14*t**3 Let s = -2 + 10. Let c(g) = 2*g - 11*g + 10*g - 1 - 5. Let z(j) = -2*j + 17. Give s*c(m) + 3*z(m). 2*m + 3 Let d(z) = 3*z. Let p(k) be the second derivative of -2*k**3/3 - k. Let x = -264 + 178. Let v = x + 82. Give v*p(m) - 5*d(m). m Let y be (2/(-3))/(-1)*480/10. Let c = -37 + y. Let q(n) = n**2 + 2*n. Let u(i) = 2*i**2 + 4*i - 1. Calculate c*q(h) + 2*u(h). -h**2 - 2*h - 2 Let x(c) = -c**2 - 3. Let p(m) = 7*m**2 - 74*m + 17. What is -p(i) - 6*x(i)? -i**2 + 74*i + 1 Let w(k) = -5*k**3 - k**2 + k. Suppose 3*s + s = 36. Let i(c) = c**2 - 8*c - 2*c**2 + s*c - 4*c**3. Give 6*i(h) - 5*w(h). h**3 - h**2 + h Let l(h) = -295*h**2 + 3*h - 3. Let o(a) = 40710*a**2 - 413*a + 413. What is 413*l(q) + 3*o(q)? 295*q**2 Let o(b) = -9*b + 132. Let j(t) = 2*t - 4. Determine 2*j(z) + o(z). -5*z + 124 Let u(k) = 7*k + 11. Let g(c) = 4*c + 3. Let z(l) = 5*l + 3. Let t(s) = 3*g(s) - 2*z(s). Let r = 13 + 9. Let j be 12*((-3)/2 - -1). What is j*u(v) + r*t(v)? 2*v Let s(z) = 9*z**2 + 43*z - 2. Let y(v) = -26*v**2 - 134*v + 5. What is -11*s(c) - 4*y(c)? 5*c**2 + 63*c + 2 Let r(h) be the first derivative of 7*h**2/2 + h - 19. Let u(c) be the second derivative of 2*c**3/3 - 6*c. Suppose -n + 10 = -3*n. What is n*u(q) + 3*r(q)? q + 3 Let v(u) = -u**2 + 1. Let t(d) = -28*d**2 + 35. Suppose 5*q + 45 = 4*q + 5*b, -4*b = 2*q + 62. Calculate q*v(m) + t(m). 7*m**2 Suppose -9 = -26*w + 17*w. Let c(a) = 4*a**2 + a + 3. Let b(k) = -k**2 - 1. Calculate w*c(n) + 5*b(n). -n**2 + n - 2 Let p(n) = 2*n + 2. Let o(f) = -23*f + 3. What is -o(b) - 3*p(b)? 17*b - 9 Let m(f) = f**2 + 3*f**2 + 4*f + 0*f. Let k(j) = 3*j**2 - 3*j + 7*j - j. Suppose -12 + 2 = -2*g. Calculate g*m(v) - 7*k(v). -v**2 - v Let k be (-1 - -12) + (4 - 8). Let q(v) = -3*v - 3*v + 2*v + k*v**2 - 4 - 2*v. Let m(x) = 4*x**2 - 3*x - 2. Give -5*m(a) + 3*q(a). a**2 - 3*a - 2 Let j(u) = -3*u + 4. Let w be 24/3 - (-4 + 3 + -2). Let a(o) = -7*o - 8*o - 7*o + w + 14*o. Give 6*a(g) - 17*j(g). 3*g - 2 Let h(x) = -2*x**3 - 6*x**2 + 2. Let d(c) = 1. Let n(g) = g**2 + 17*g - 17. Let f be n(1). Calculate f*h(j) - 2*d(j). -2*j**3 - 6*j**2 Let n(h) = -4*h**2 - 5*h - 2. Let q(o) = 5*o**2 + 6*o + 1. Suppose 43 = -23*f - 95. What is f*n(a) - 5*q(a)? -a**2 + 7 Let g(j) = -7. Let v(n) = 5. Let f(h) = -3*g(h) - 4*v(h). Let r(i) = i - 3. Calculate 3*f(w) + r(w). w Let b(y) = 5*y**2 - 11*y + 17. Let o(k) = -6*k**2 + 13*k - 16. What is 5*b(x) + 4*o(x)? x**2 - 3*x + 21 Let y(g) = -5*g**2 + g + 5. Let f(o) = 11*o**2 - 2*o - 9. Calculate -6*f(i) - 13*y(i). -i**2 - i - 11 Let x(k) = -9*k - 2. Let g(d) = -d**3 + 38*d**2 - 107*d + 77. Let p be g(35). Let b(v) = -28*v - 6. Determine p*x(f) - 2*b(f). -7*f - 2 Let i be 3 - 7/(28/8). Let q(d) = d. Let b(p) = -p**2 - 21*p + 0*p + 19*p. Give i*b(x) + 4*q(x). -x**2 + 2*x Let v(d) = -4*d**2 + 15*d + 1. Let u(s) = 11*s**2 - 44*s - 4. Determine -3*u(z) - 8*v(z). -z**2 + 12*z + 4 Let m(h) = -1. Suppose 0 = 73*n - 76*n + 6. Let r(d) = d**2 - 10*d + 10. Let x be r(9). Let y(s) = -s**2 - s. Calculate n*m(v) + x*y(v). -v**2 - v - 2 Let y(p) = -p**2. Let h(k) be the first derivative of k**4 + 4*k**3/3 - k**2 - 447. Calculate -h(m) - 6*y(m). -4*m**3 + 2*m**2 + 2*m Let j = 81 - 79. Let i(v) be the second derivative of -3*v + 7/6*v**3 + 0*v**j + 0 + 1/12*v**4. Let x(d) = -d**2 - 8*d. Give 6*i(k) + 5*x(k). k**2 + 2*k Suppose y = -5 + 6. Let u(j) = j**2 - j + 1. Let d(h) = h. Let z be (2 - -2)*(34/(-8) - -4). Calculate y*u(g) + z*d(g). g**2 - 2*g + 1 Let v(d) be the second derivative of d**4/2 - 5*d**3/6 - d**2 - 12*d. Let f be -1 + ((-96)/8)/(-4). Let o(h) = 3*h**2 - 2*h - 1. What is f*v(m) - 5*o(m)? -3*m**2 + 1 Let z(r) = -5*r - 2. Let d(l) = -11*l - 4. Let s be (-112)/(-8) + 4 + -4 + -7. Calculate s*z(x) - 3*d(x). -2*x - 2 Let n(h) = h + 0 + 5 - 6. Let t(j) be the first derivative of -5*j**3/6 + 5*j**2/2 - 6*j - 6. Let v(x) be the first derivative of t(x). Give -11*n(q) - 2*v(q). -q + 1 Let r(n) = -11*n**2 - 11*n - 17. Let g(h) = h**2 - h + 1. Let w(y) = -10*y - 3. Let t(a) = -5*g(a) + w(a). Give 6*r(p) - 13*t(p). -p**2 - p + 2 Let b(g) = -69*g + 13. Let m(s) = s + 3. Determine -b(q) + 4*m(q). 73*q - 1 Let m(k) = 3*k**3 + 5*k**2 + 5. Let q(t) be the third derivative of t**6/20 + 3*t**5/20 + 3*t**3/2 + 15*t**2. Suppose -5*a + 55 = -16*a. Give a*q(n) + 9*m(n). -3*n**3 Let p(u) = -u. Let h be 130/110 + 4/(-22). Let s(z) = -3 - 4 + 6 - z**2 + 0*z**2. What is h*p(x) + 2*s(x)? -2*x**2 - x - 2 Let o(p) = 9*p**3 + 12*p**2 - 6*p - 3. Let j(t) = 8*t**3 + 10*t**2 - 5*t - 3. Determine -6*j(g) + 5*o(g). -3*g**3 + 3 Let k(s) be the third derivative of 19*s**5/60 - 5*s**4/24 + 5*s**3/6 - 2*s**2 - 18*s. Let v(g) = 161*g**2 - 42*g + 42. Calculate -42*k(j) + 5*v(j). 7*j**2 Let c(o) = -5*o**3 - 6*o**2 - 4*o + 110. Let a(f) = 11*f**3 + 14*f**2 + 9*f - 219. What is 3*a(k) + 7*c(k)? -2*k**3 - k + 113 Let k(t) be the first derivative of -t**3/3 + t**2/2 + t - 4. Let y(v) = 4*v**2 - 3*v - 2. Let s = -338 + 337. Calculate s*y(l) - 2*k(l). -2*l**2 + l Let g(j) = -3*j - 1. Let v = 24 + -24. Let n be 1/4*(v + 20). Let s(r) = -2*r - 1. Give n*s(a) - 3*g(a). -a - 2 Let u(n) = n**2 - 4*n + 1. Let d(s) = s**2 - 3*s + 1. Let a(o) = -o. Let i(k) = 8*k - 10. Let t(v) = -5*a(v) - i(v). Let q be t(4). Give q*u(b) + 3*d(b). b**2 - b + 1 Suppose -44*v = 12*v + 448. Let x be (-86)/(-18) + 2/9. Let c(l) = -14*l**3 + 14*l**2 - 8*l + 2. Let k(u) = -9*u**3 + 9*u**2 - 5*u + 1. What is v*k(a) + x*c(a)? 2*a**3 - 2*a**2 + 2 Let x(r) = -7*r**3 - 146*r**2 - 4*r + 8. Let o(k) = -6*k**3 - 145*k**2 - 3*k + 6. Determine 4*o(z) - 3*x(z). -3*z**3 - 142*z**2 Let y(s) = 1. Let x(k) = -2*k - 6. Let p(d) be the second derivative of -d**3/3 - 31*d**2 + 23*d + 1. Let z be p(-25). What is z*y(h) - 2*x(h)? 4*h Suppose -5*p + p + 24 = -4*n, n + 22 = 3*p. Suppose 7*v - 39 = 20*v. Let s be v/3 + p/(-2). Let z(l) = 4*l - 6. Let g(c) = c - 1. Give s*g(f) + z(f). -f - 1 Let f(z) = -z**3 - 7*z**2 - 10*z - 3. Let m(c) = c**3 + 6*c**2 + 9*c + 2. Calculate -6*f(a) - 7*m(a). -a**3 - 3*a + 4 Let z(t) = 103*t - 3. Let i(b) = 207*b - 5. What is 2*i(k) - 5*z(k)? -101*k + 5 Let q(o) = -o**2 - 8*o - 13. Let n be q(-5). Let i(t) = 8*t**2 + 4*t + 21. Let w(x) = 2*x**2 + x + 5. Calculate n*i(r) - 9*w(r). -2*r**2 - r - 3 Let d(f) = f + 9. Let l = 7 - 5. Let b(p) = -l*p - 16 - 3 + p. Let k(q) = 2*b(q) + 5*d(q). Let z(y) = -y - 2. Determine 2*k(g) + 7*z(g). -g Let h(d) = 9*d**3 - 5*d**2 - 5*d - 2. Let r(w) = -44*w**3 + 24*w**2 + 24*w + 12. Determine -24*h(v) - 5*r(v). 4*v**3 - 12 Let f(w) = 3*w**2 + 5. Let q(d) = d**2 + 1. Suppose 0 = -35*i + 7*i + 112. Give i*q(v) - f(v). v**2 - 1 Let s(l) be the first derivative of -l - 110. Let i(k) = -k + 6. Calculate -i(y) - 4*s(y). y - 2 Let r(v) = -2*v + 3. Let x(n) be the third derivative of -1/6*n**3 + 1/24*n**4 - 37*n**2 + 0 + 0*n. What is -r(b) - 4*x(b)? -2*b + 1 Let h(t) = 50828*t + 917. Let u(d) = 277*d + 5. Give 5*h(i) - 917*u(i). 131*i Suppose -18*j - h = -17*j, 5*h + 16 = 3*j. Let q(x) = -6*x**2 + 11. Let l(m) = m**2 - 2. Calculate j*q(p) +
{ "pile_set_name": "DM Mathematics" }
/13 (b) -1 (c) 1 c What is the closest to 1 in 3436.4, 1, 0.2? 1 Which is the closest to -3? (a) -4 (b) -0.2 (c) -0.24 a Which is the closest to 0.1? (a) 6/5 (b) -34 (c) -0.4 c Which is the nearest to 1? (a) -1 (b) 0.1 (c) 11 (d) -4 b Which is the nearest to 0? (a) 2/11 (b) -0.1 (c) 5 (d) -2 b What is the closest to 0.1 in -1, 11, 5? -1 What is the nearest to -366 in 4, 0.2, -1/4, -3/5? -3/5 What is the nearest to 0.1 in 0.1, 5, -4/5, -0.024? 0.1 Which is the nearest to -0.2? (a) 0.2 (b) 0.16 (c) 1/4 b What is the nearest to 0.1 in -3/8, -208, 5? -3/8 Which is the closest to -4/7? (a) -0.14 (b) -2/7 (c) -5 (d) -3 b What is the nearest to -1 in -3/5, -7, -6? -3/5 Which is the nearest to 7? (a) -5 (b) 3 (c) 0.28 b What is the nearest to -3 in 22/3, -0.38, -3? -3 Which is the nearest to -1/29? (a) 2/53 (b) 0.1 (c) -1 (d) 2/13 a Which is the closest to 2/7? (a) -2/157 (b) -1/7 (c) -2 (d) 2/23 d What is the nearest to -5 in 6, -4/3, -3, 4? -3 What is the closest to 0 in 5, -0.0538, -1/3? -0.0538 Which is the closest to 0.01? (a) -0.5 (b) -4/5 (c) 3 (d) -0.2 d What is the closest to 12 in 3, 2/9, 4? 4 What is the nearest to 3 in 4/3, -1, -160? 4/3 What is the closest to -1 in 2/21, 7/8, 2/13, 1.3? 2/21 Which is the closest to 1? (a) 1/5 (b) 251 (c) -4 a Which is the nearest to -3/5? (a) 3/2 (b) -1 (c) 6/17 (d) 5 b What is the nearest to 0 in 3/5, -3/2, -3? 3/5 What is the nearest to 0 in 3, 5, 2, -1/23? -1/23 Which is the closest to 1/3? (a) 0.06 (b) -0.3 (c) 1/24 a Which is the closest to 524? (a) 0 (b) -2 (c) -0.3 (d) -0.1 a Which is the nearest to 18? (a) 5 (b) 7 (c) -0.1 b What is the closest to -3/4 in 2/3, 0, 1, 2/11? 0 Which is the closest to -0.02? (a) 2 (b) 887 (c) -0.2 c Which is the nearest to -1? (a) 332/5 (b) -2 (c) 0.5 (d) 0.4 b What is the closest to 2/3 in -2, 0, -0.5, -0.1? 0 Which is the closest to -28? (a) 0.3 (b) 1/6 (c) 0.04 c What is the closest to 0 in -6, 3/4, -4? 3/4 What is the nearest to -1/2 in 0.03, 8, -0.1, 1/5? -0.1 What is the nearest to 2 in 217, -0.4, -4? -0.4 Which is the nearest to 0.04512? (a) -3 (b) -4 (c) 1 (d) 1/5 d What is the nearest to 17/14 in -2/17, -2/3, 5? -2/17 What is the nearest to -2 in -0.3, 1, 0.5, 1.35? -0.3 What is the nearest to 1 in -31, -0.1, -4/9? -0.1 Which is the closest to 0? (a) -1/2 (b) -2 (c) 4/5 (d) -1/13 d Which is the closest to -2/5? (a) 0.4 (b) -0.6 (c) -2/5 (d) 5 c What is the nearest to 4 in -2, 1/6, -0.077? 1/6 Which is the nearest to -1? (a) -4 (b) 1.1 (c) -5 b What is the nearest to -1598 in -5, -2, -3? -5 Which is the nearest to -1/24? (a) -0.5 (b) 5/4 (c) -4 (d) 1 a What is the closest to 0.3 in -4/3, 0.5, -0.3, -5? 0.5 Which is the nearest to 0? (a) -2/7 (b) -6 (c) 2 (d) 18.9 a Which is the nearest to 0.1? (a) 1/4 (b) 1/6 (c) 4 (d) 0.028 b Which is the closest to 1? (a) 26 (b) -4 (c) 104 b What is the nearest to 0 in -2.5, 4, -31? -2.5 Which is the nearest to 1? (a) 4 (b) 5 (c) -14 (d) 2/23 d What is the closest to -2 in -4, 0.23, 1/3, -1? -1 What is the nearest to 0.2 in -5, 4, 0? 0 What is the nearest to -1/7 in -5, 2/3, -2/7, 1/7? -2/7 Which is the nearest to 0.1? (a) -1 (b) 4.8 (c) -4 a What is the nearest to 176 in 4, -0.5, -0.2? 4 What is the nearest to -1/4 in 11, -2/3, -4, -2/11? -2/11 What is the closest to -1/4 in 0.4, 2.3, -0.3? -0.3 What is the nearest to 2/5 in 5, 1/2, -15, 2/17? 1/2 What is the closest to -1.4 in 2, 7, 0.1? 0.1 What is the closest to 2 in -3, 1, 2.2? 2.2 Which is the closest to -0.4? (a) 2/7 (b) -4 (c) 1/7 (d) -3/5 d What is the closest to -0.8 in -2/7, 0.06, 0.5, -4? -2/7 Which is the nearest to -4? (a) 0.4 (b) 6 (c) 3/2 a Which is the nearest to -180? (a) -3 (b) 1/9 (c) -4 c Which is the nearest to 2/5? (a) 0.2 (b) 4 (c) -5 (d) 7 a What is the closest to 0.1 in -447, -2/3, 2? -2/3 What is the nearest to -2/7 in -1.2, 1, -2/3, 3? -2/3 Which is the nearest to 12/13? (a) 5 (b) 1/12 (c) 1/3 c What is the closest to -1 in 3.4, -1/4, 1/5, -0.3? -0.3 What is the closest to -14 in 3/7, 0.2, 1/4? 0.2 What is the closest to 0.1 in -3/5, 4, 0.11? 0.11 What is the nearest to -2/7 in -4.65, 0.7, 4/5? 0.7 Which is the closest to -0.3? (a) -5 (b) 0.04 (c) -136 (d) -2/3 b Which is the closest to 0.02? (a) -2/11 (b) 0 (c) -3 b What is the nearest to 2/5 in 0.3, 4/9, -8, -2/5? 4/9 Which is the closest to 2? (a) 0 (b) 16 (c) -4 a What is the closest to 2/7 in 103, -4, -0.5? -0.5 Which is the closest to -2/3? (a) 0.2 (b) -2 (c) 58.1 (d) 3 a Which is the closest to -0.1? (a) -5 (b) 0.01 (c) -2/11 c What is the nearest to -2/7 in -1, 0.3, 38? 0.3 What is the nearest to 1 in 9, 1/6, 0.4? 0.4 Which is the closest to -1/3? (a) -40 (b) -2/3 (c) -0.03 (d) -2 c What is the nearest to -6/11 in 4/5, 16, -3, 2/5? 2/5 What is the closest to 1/3 in 0.5, 3/8, -8? 3/8 Which is the nearest to 2? (a) 1/3 (b) 5 (c) -0.1 (d) 36 a What is the closest to -2/3 in 1/3, 4, 3/2? 1/3 Which is the closest to 0.1? (a) 225 (b) 4 (c) -0.5 (d) 5 c What is the nearest to 0.1 in -8, -4/5, 0, -0.4? 0 What is the nearest to 1 in 0.5, 0.8, 5/3? 0.8 Which is the nearest to 92? (a) 0.3 (b) 2/9 (c) -2 (d) -4 a What is the closest to -71 in 4, -4, 0.9? -4 What is the closest to -0.1 in -3/2, 5, -126? -3/2 Which is the closest to -0.2? (a) -0.14 (b) 86 (c) -3 a What is the closest to 2 in 0.4, -1/2, -1? 0.4 Which is the nearest to 0? (a) -5 (b) -0.6 (c) -2 (d) -8 b Which is the closest to -4? (a) -3 (b) 2 (c) -4 c Which is the nearest to -2/5? (a) 3 (b) 2/11 (c) 4 (d) 2/7 b Which is the closest to 2? (a) -1/10 (b) 3/4 (c) -0.08 b What is the closest to -0.1 in -1/2, 1/4, -3, 3? 1/4 What is the nearest to 1/6 in 3, 0.5, 2? 0.5 What is the nearest to -20 in 0, -4, 5, 2/7? -4 Which is the nearest to 1/34? (a) -11 (b) -2 (c) -3 b Which is the closest to -79? (a) -0.1 (b) 5 (c) -0.4 c What is the closest to 0.1 in -1/3, -4, 1/4, 408? 1/4 What is the closest to -0.4 in 2, 3, -1/27, 4? -1/27 Which is the nearest to 0.1? (a) -5 (b) -3 (c) -36 (d) 0.1 d Which is the nearest to -2/5? (a) -1/3 (b) -207 (c) 1 a What is the closest to -12/11 in -2, 2, 2/7? -2 Which is the nearest to 1? (a) 2/15 (b) 2/9 (c) 3/223 b What is the nearest to -1 in -2, 0.3, -115? -2 Which is the closest to -1/2? (a) 0.3 (b) -2 (c) -20 a What is the nearest to -9 in 3/4, 1/2, 8, -4? -4 Which is the closest to 2? (a) -2/3 (b) -1/3 (c) -0.1 (d) 0.3 d What is the closest to -177/14 in -0.3, 2, -1/7? -0.3 Which is the closest to 1? (a) 0 (b) -4 (c) -3/47 (d) -1/6 a Which is the closest to -0.2? (a) -0.2 (b) -2/3 (c) -6 (d) -1/3 a Which is the closest to 0.1? (a) -4 (b) -0.3 (c) 7/3 b What is the nearest to 1/3 in -4, -0.2, 12, -2? -0.2 Which is the closest to 4? (a) 0.2 (b) 2 (c) -35 b What is the nearest to 3/4 in -2/17, 5, 7/6, 2/3? 2/3 What is the closest to 0 in -3/8, 40, -23? -3/8 What is the closest to -3 in 5, 6, -1/2? -1/2 What is the closest to 0 in -0.4, 1, -4, -565? -0.4 What is the nearest to 3 in -1/7, 3/4, -0.3, 1/7? 3/4 What is the closest to 0 in -46, 0.3, -2? 0.3 Which is the nearest to -1? (a) -33 (b) -1 (c) -2 b What is the closest to 1/3 in -0.3, -1/3, -45? -0.3 Which is the closest to -0.2? (a) 4 (b) -0.1 (c) 2/325 b Which is the closest to 2? (a) -9 (b) -1 (c) -51 b What is the closest to 0 in 4, -2/9, -1? -2/9 Which is the closest to -1/7? (a) 0.2 (b) -0.4 (c) -5 (d) 142/5 b What is the closest to -6 in 0.1, -4, -6, 3? -6 Which is the nearest to -1? (a) 2/7 (b) 1 (c) 20 (d) -2/7 d Which is the closest to 0? (a) -0.3 (b) 0.5 (c) 0.05 (d) 1/4 c Which is the nearest to -1? (a) -3 (b) -9 (c) -15 a Which is the nearest to 0? (a) -1 (b) -2/9 (c) -4 b What is the closest to 1/7 in -1, 0.2, -5, 3/2? 0.2 What is the closest to -35 in 0.3, 5, -0.2, 1/4? -0.2 What is the closest to 38 in -3, -0.3, 1, 0.4? 1 What is the nearest to -1/3 in -0.1, 1/2, 5, 2/21? -0.1 Which is the nearest to -1/4? (a) 0.3 (b) -7 (c) 5 (d) -2/3 d What is the closest to -4/9 in 5, -0.04, 4? -0.04 What is the closest to -0.1 in 0.2, -2, 2/9? 0.2 Which is the closest to -3/5? (a) 0 (b) -1/2 (c) -4 (d) 1 b What is
{ "pile_set_name": "DM Mathematics" }
Let z(n) be the second derivative of -n**5/60 - n**2 - 11*n. Let m(p) be the first derivative of z(p). Let t(r) = -28*r**2. What is m(t(s))? -784*s**4 Let p(j) = -54*j**2 + 2. Let x(z) be the first derivative of -2*z**3/3 + 172. Give x(p(w)). -5832*w**4 + 432*w**2 - 8 Let f(i) = -1. Let w(q) = q**2 + 10*q + 11. Let z be w(-7). Let t(k) = k**2 - 5. Let y(l) = z*f(l) + 2*t(l). Let j(s) = 6*s**2. Calculate y(j(b)). 72*b**4 Let g(p) = 12*p. Let u(m) = m + 9. Let b(w) = -4*w - 18. Let l(v) = b(v) + 2*u(v). Give g(l(y)). -24*y Let c(t) = -23*t + 139*t + 680*t + 100*t + 11*t. Let z(m) = -m**2. Give c(z(r)). -907*r**2 Let u(h) = 77*h. Let k(v) = -67*v - 2. Determine u(k(s)). -5159*s - 154 Let f(c) = -3*c. Let s(h) = 0*h + h - 6 - 8*h. Let m(u) = 7*u + 7. Let n(x) = 6*m(x) + 7*s(x). Calculate f(n(r)). 21*r Let j(g) = -g. Let z(u) = -8705*u**2. Determine z(j(h)). -8705*h**2 Let a(s) = -s**2. Suppose 0 = -l - 5 - 1. Let y be 4/l + 104/12. Let g(v) = y*v + 2*v + 0*v - 5*v. Calculate a(g(o)). -25*o**2 Let u(m) = -2*m - 10. Let d(f) = 1. Let p(g) = -10*d(g) - u(g). Let o(y) = y**3 + 5*y**2 - 5*y + 13. Let j be o(-6). Let l(i) = 725 + j*i - 725. Give l(p(a)). 14*a Let g(h) = 9*h + 7*h + 6*h + 6*h - 35*h. Let s(a) = 4 - 4 + 2*a. Calculate g(s(c)). -14*c Suppose -2*c = -4*c + 4. Let y(l) = -l**2 - 2*l**2 + 6*l**c. Let m(g) = 8*g**2. What is y(m(k))? 192*k**4 Let i(o) = 3*o. Let j(m) = 244219*m. Calculate i(j(r)). 732657*r Let x(s) be the third derivative of s**4/3 - 26*s**2 + 3. Let c(k) = 3*k. What is x(c(i))? 24*i Let b(u) = -2*u. Let w(v) = v - 3. Let t(a) = -5*a + 23. Let z(s) = -t(s) - 6*w(s). Give b(z(j)). 2*j + 10 Let z(b) = -543 - 2*b**2 - 538 + 1081 + 0*b**2. Let o(w) = -123*w**2. Calculate z(o(n)). -30258*n**4 Let t = -34 - -36. Let v(d) = 2*d**2 + 4*d + t*d - 6*d. Let l(p) = -2*p + 2*p - 3*p. Calculate v(l(m)). 18*m**2 Let d(q) be the second derivative of q**4/6 - 9*q. Let b(y) = -4*y + 12. Let l(k) = -3. Let o(g) = -3*b(g) - 12*l(g). Determine o(d(m)). 24*m**2 Let b(x) be the third derivative of x**5/120 - 2*x**3 - 13*x**2. Let y(q) be the first derivative of b(q). Let j(l) = 14*l**2. Give y(j(m)). 14*m**2 Let k(v) = 114*v**2 + 12*v + 2. Let f(g) = 698*g + 1. What is f(k(m))? 79572*m**2 + 8376*m + 1397 Let n(r) = -r. Let y(b) = -38225*b**2 - 275*b - 550. Let d(j) = 279*j**2 + 2*j + 4. Let z(x) = -550*d(x) - 4*y(x). What is z(n(v))? -550*v**2 Let z(l) = -4*l**2. Let n(w) = -3*w + 38. Let b(d) = -8*d + 109. Let i(s) = -6*b(s) + 17*n(s). Give i(z(j)). 12*j**2 - 8 Let z(o) = 2*o**2 - 22. Let h(j) be the first derivative of -j**5/30 - 3*j**2/2 - 42. Let k(a) be the second derivative of h(a). Determine z(k(t)). 8*t**4 - 22 Let r(n) = -26*n**2 - n. Let h(m) = 4*m**2 + 5*m + 21. Let v(l) = -l**2 - l. Let b(s) = h(s) + 5*v(s). Let k(q) be the first derivative of b(q). Give k(r(y)). 52*y**2 + 2*y Let s(p) = -5*p. Let h(j) = 3 - 5 + 0 + 1. Let l(f) = 3 - 3 + 2 + 2*f. Let i(d) = 2*h(d) + l(d). Calculate i(s(n)). -10*n Let m(f) be the first derivative of 18*f**3 - 112. Let d(y) = -4*y. What is d(m(i))? -216*i**2 Let g(p) = 12*p**2. Let k(z) = 5665*z**2. Determine g(k(q)). 385106700*q**4 Let n(y) = -225*y**2. Let m(x) = 63*x. Determine n(m(t)). -893025*t**2 Let l(h) = 8*h**2 - 2*h + 2. Let a(u) = 45*u**2 - 11*u + 11. Let k(i) = 2*a(i) - 11*l(i). Let t(b) = 148*b**2. Calculate t(k(y)). 592*y**4 Let o(q) = -q**2. Let m(v) = 17*v**2 + 13*v. Let z be m(-1). Let s(g) be the second derivative of -13/6*g**3 + 0 + z*g + 0*g**2. What is o(s(k))? -169*k**2 Let g(t) = 492*t. Let w(h) = 1286*h**2. Determine w(g(i)). 311294304*i**2 Let f(l) be the third derivative of l**4/24 - 2*l**2. Let u(v) = 1 - 162*v**2 + 83*v**2 - 1 + 83*v**2. Give u(f(j)). 4*j**2 Let i be (-59)/(-177)*(0 + 0). Let z(t) be the third derivative of 0*t + 4*t**2 + 0*t**4 + 0*t**3 + i - 13/60*t**5. Let a(h) = -2*h**2. Determine a(z(p)). -338*p**4 Let s(j) = 10*j**2. Let h(g) = -9*g - 95. Determine h(s(f)). -90*f**2 - 95 Let z(y) = -776*y. Let i(v) be the first derivative of -2*v**3/3 + 308. Calculate z(i(j)). 1552*j**2 Let t(l) = -11*l**2. Let y(s) = -153*s + 14. Calculate t(y(p)). -257499*p**2 + 47124*p - 2156 Let b(u) = 8*u. Let l(t) = -6559*t. Calculate l(b(w)). -52472*w Let q(d) = -2 - 1262*d**2 + 2 + 2672*d**2. Let v(h) = -2*h**2. Determine v(q(o)). -3976200*o**4 Let m(i) = i**2. Let w be 1/((-84)/48*3/(-21)). Let f(c) be the third derivative of 5/24*c**w + 0*c - 5*c**2 + 0 + 0*c**3. Determine m(f(l)). 25*l**2 Let n be -1 - -1 - (32 + -10). Let x(a) = -41*a. Let y(l) = 10*l. Let p(z) = n*y(z) - 6*x(z). Let f(u) = u**2. Calculate p(f(w)). 26*w**2 Let n(c) = 4*c**2. Let m(a) = -19*a**2 + 12*a**2 + 0*a**2. What is n(m(l))? 196*l**4 Let n(s) be the third derivative of 1/12*s**4 + 0 + 15*s**2 + 0*s**3 + 0*s. Let a(w) = -w. Determine n(a(i)). -2*i Let c(l) be the first derivative of -4*l**3/3 + 19. Let r(u) = -16*u**2. Give r(c(b)). -256*b**4 Suppose -8*l = -45 - 179. Let p(x) be the second derivative of -28 + l - 2*x**3 + 8*x. Let w(b) = b. Calculate w(p(m)). -12*m Let f(c) = -12*c. Let h(u) = 1. Let o(p) = 2*p**2 - 2. Suppose 5*k + 0*k - 5 = 0. Suppose 2*a + k = a. Let y(r) = a*o(r) - 2*h(r). Calculate y(f(x)). -288*x**2 Let o(t) = -9*t**2 - 2. Let i(r) be the third derivative of r**5/15 - 26*r**2. Give i(o(h)). 324*h**4 + 144*h**2 + 16 Suppose -4*p - 2*u - 14 + 4 = 0, 25 = 2*p - 5*u. Let b(n) = 8*n - 2*n + p*n. Let t(y) = y + 0*y + y. Determine b(t(m)). 12*m Let q = 262 - 179. Let u(g) = -q - 82 + 165 + 59*g**2. Let k(m) = -2*m**2. Determine u(k(h)). 236*h**4 Let s(x) be the second derivative of -2/3*x**4 + 0 + 0*x**3 + 0*x**2 + 13*x. Let j(y) be the first derivative of -y**2 + 2. Determine j(s(t)). 16*t**2 Let v(x) = 49*x - 7. Let s(f) = -44*f + 6. Let q(k) = 7*s(k) + 6*v(k). Let z(p) = -5*p. Let w(r) = 16*r. Let d(b) = -2*w(b) - 7*z(b). Calculate d(q(g)). -42*g Let h(q) = -9307958*q**2. Let d(x) = 2*x. Determine d(h(s)). -18615916*s**2 Let i(y) = -90910*y**2. Let b(r) = r**2. Give i(b(w)). -90910*w**4 Let p(f) = -4677561*f**2. Let t(h) = h**2. What is p(t(u))? -4677561*u**4 Let b(w) = w**2. Let h(o) be the second derivative of 5/12*o**4 + 12*o + 0*o**3 + 0*o**2 + 0. Determine h(b(p)). 5*p**4 Suppose -5*o + 8 + 2 = 0. Let n be 3/o*4/3. Let s(h) = 3*h**n + 6*h**2 - 10*h**2. Let y(x) = -x**2. What is y(s(r))? -r**4 Let t(k) = -2*k. Let f(x) = -x**2 + 4906 - 4906 - 58*x. What is f(t(y))? -4*y**2 + 116*y Let u(v) = -2*v**2. Let x(g) be the third derivative of g**4/2 - 2*g**3/3 + 5*g**2 + 2. Let a(p) = 2*p - 1. Let z(j) = -2*a(j) + x(j). Give u(z(s)). -128*s**2 + 64*s - 8 Let j(m) be the first derivative of 4*m**3/3 - 305. Let d(v) = 0*v**2 + 4*v**2 - v**2. What is d(j(w))? 48*w**4 Let x(f) = 987*f**2. Let l(d) = 6*d + 3. Give l(x(t)). 5922*t**2 + 3 Let l(i) = -48*i. Let y(j) = -393*j**2 - j. Give y(l(v)). -905472*v**2 + 48*v Let m(x) = -4*x**2. Let p = 40 - 37. Let q(i) = -2*i. Let s(l) = -l. Let u(t) = p*s(t) - q(t). Calculate u(m(h)). 4*h**2 Let u(a) = -2*a. Let o(p) = 9*p**2 - 2159. Determine o(u(x)). 36*x**2 - 2159 Let y(u) = 2*u - 5*u + 0*u. Let x(f) = 8*f + 6. Let v(p) = 168*p + 128. Let r(m) = 3*v(m) - 64*x(m). Calculate y(r(g)). 24*g Let m(c) = 3*c - 1. Let j(p) = -7*p - 1. Let g(q) = 15*q + 2. Let a(z) = 6*g(z) + 13*j(z). Let o(k) = -2*a(k) + 2*m(k). Let y(t) = -12*t. Calculate o(y(u)). -96*u Let q(t) = 45*t**2 + t. Let b(w) = 7*w + 5. Let r(j) = 3*j + 2. Let f(o) = 2*b(o) - 5*r(o). Calculate f(q(p)). -45*p**2 - p Let x(f) = -5*f. Let a(l) = 45*l + 15*l + 935 - 935. Determine a(x(m)). -300*m Let q(s) = 2302*s. Let r(l) = -9*l. Give q(r(v)). -20718*v Let x(r) = 18*r - 38*r + 0 + 6 - 8*r. Let h(i) = -2*i. Calculate h(x(z)). 56*z - 12 Let v(o) = 59690*o - 3*o**2 - 59690*o - 3*o**2. Let u(p) = 36*p. What is v(u(h))? -7776*h**2 Let t(x) = 75*x - 225*x + 25*x - 174*x. Let y(b) = -2*b**2. Calculate y(t(z)). -178802*z**2 Let s(h) = -3*h**2. Suppose 0 = -0*q + 6*q - 18. Let d(m) = -24*m + 3. Let g(n) = n - 1. Let v(t) = q*g(t) + d(t). Give v(s(c)). 63*c**2 Let p(x) = x. Let r(d) = -101959*d - 1. Calculate r(p(k)). -101959*k - 1 Let f(h) = -106*h**2. Let c(o) be the second derivative of o**3/2 - 17*o + 2. Calculate f(c(y)). -954*y**2 Suppose 8 = 3*c + 2. Let n(f) = -4331*f + 4331*f - 43*f**c. Let m(v) =
{ "pile_set_name": "DM Mathematics" }
of 45429507 to the nearest integer? 12 What is 67752171 to the power of 1/3, to the nearest integer? 408 What is 5889364 to the power of 1/10, to the nearest integer? 5 What is the square root of 129764292 to the nearest integer? 11391 What is 149023722 to the power of 1/2, to the nearest integer? 12208 What is 373232488 to the power of 1/10, to the nearest integer? 7 What is the fourth root of 101179147 to the nearest integer? 100 What is the cube root of 7006932 to the nearest integer? 191 What is the ninth root of 47577819 to the nearest integer? 7 What is the third root of 835114918 to the nearest integer? 942 What is the third root of 1338824588 to the nearest integer? 1102 What is 10746781 to the power of 1/7, to the nearest integer? 10 What is 4502878677 to the power of 1/10, to the nearest integer? 9 What is the square root of 1004287892 to the nearest integer? 31691 What is the cube root of 291786305 to the nearest integer? 663 What is the square root of 13495242 to the nearest integer? 3674 What is 292871861 to the power of 1/2, to the nearest integer? 17113 What is 639852240 to the power of 1/2, to the nearest integer? 25295 What is 54494664 to the power of 1/2, to the nearest integer? 7382 What is the ninth root of 7043835517 to the nearest integer? 12 What is the cube root of 870487552 to the nearest integer? 955 What is the cube root of 1873489508 to the nearest integer? 1233 What is 19519341 to the power of 1/3, to the nearest integer? 269 What is 40829830 to the power of 1/7, to the nearest integer? 12 What is the sixth root of 480398006 to the nearest integer? 28 What is the cube root of 26391020 to the nearest integer? 298 What is 663526546 to the power of 1/3, to the nearest integer? 872 What is the sixth root of 54414485 to the nearest integer? 19 What is 46200753 to the power of 1/7, to the nearest integer? 12 What is the third root of 185314994 to the nearest integer? 570 What is the third root of 57582805 to the nearest integer? 386 What is the seventh root of 2301087016 to the nearest integer? 22 What is 26697171 to the power of 1/2, to the nearest integer? 5167 What is 5593669 to the power of 1/7, to the nearest integer? 9 What is 113585935 to the power of 1/3, to the nearest integer? 484 What is 226724006 to the power of 1/2, to the nearest integer? 15057 What is 30784792 to the power of 1/6, to the nearest integer? 18 What is 72678218 to the power of 1/4, to the nearest integer? 92 What is the seventh root of 179061077 to the nearest integer? 15 What is the square root of 246411889 to the nearest integer? 15698 What is 248100822 to the power of 1/2, to the nearest integer? 15751 What is the fourth root of 3510231969 to the nearest integer? 243 What is 5098293 to the power of 1/2, to the nearest integer? 2258 What is 3096593942 to the power of 1/2, to the nearest integer? 55647 What is the ninth root of 14680395 to the nearest integer? 6 What is the square root of 71459096 to the nearest integer? 8453 What is the seventh root of 24861650 to the nearest integer? 11 What is the tenth root of 858100644 to the nearest integer? 8 What is 2011982429 to the power of 1/2, to the nearest integer? 44855 What is 600827758 to the power of 1/7, to the nearest integer? 18 What is the square root of 74823584 to the nearest integer? 8650 What is the fifth root of 286060710 to the nearest integer? 49 What is the third root of 346828949 to the nearest integer? 703 What is the third root of 351958554 to the nearest integer? 706 What is 50513420 to the power of 1/2, to the nearest integer? 7107 What is 63727947 to the power of 1/3, to the nearest integer? 399 What is the cube root of 198888393 to the nearest integer? 584 What is the tenth root of 38401127 to the nearest integer? 6 What is 2259851971 to the power of 1/2, to the nearest integer? 47538 What is 109527191 to the power of 1/2, to the nearest integer? 10466 What is 1858420059 to the power of 1/3, to the nearest integer? 1229 What is 2424528804 to the power of 1/2, to the nearest integer? 49240 What is 6958065591 to the power of 1/7, to the nearest integer? 25 What is 264022577 to the power of 1/7, to the nearest integer? 16 What is the cube root of 1896818915 to the nearest integer? 1238 What is 280373509 to the power of 1/4, to the nearest integer? 129 What is 249294877 to the power of 1/4, to the nearest integer? 126 What is the sixth root of 94962145 to the nearest integer? 21 What is 97066772 to the power of 1/6, to the nearest integer? 21 What is 112433828 to the power of 1/4, to the nearest integer? 103 What is the third root of 41255009 to the nearest integer? 346 What is the square root of 849955739 to the nearest integer? 29154 What is the square root of 618629483 to the nearest integer? 24872 What is 1177560714 to the power of 1/6, to the nearest integer? 32 What is 1888397148 to the power of 1/2, to the nearest integer? 43456 What is the fifth root of 549672956 to the nearest integer? 56 What is the sixth root of 2596437973 to the nearest integer? 37 What is 16818114 to the power of 1/2, to the nearest integer? 4101 What is the square root of 5625338020 to the nearest integer? 75002 What is 162079977 to the power of 1/3, to the nearest integer? 545 What is the third root of 7813552 to the nearest integer? 198 What is 38990852 to the power of 1/5, to the nearest integer? 33 What is 70060747 to the power of 1/8, to the nearest integer? 10 What is 163799503 to the power of 1/2, to the nearest integer? 12798 What is the square root of 1026153812 to the nearest integer? 32034 What is the seventh root of 25625097 to the nearest integer? 11 What is the square root of 1125205497 to the nearest integer? 33544 What is the cube root of 4615987931 to the nearest integer? 1665 What is 94313238 to the power of 1/3, to the nearest integer? 455 What is the square root of 5656439 to the nearest integer? 2378 What is 1050958418 to the power of 1/4, to the nearest integer? 180 What is the square root of 147711189 to the nearest integer? 12154 What is the square root of 863421874 to the nearest integer? 29384 What is 85540065 to the power of 1/10, to the nearest integer? 6 What is the cube root of 34175799 to the nearest integer? 325 What is the square root of 26993970 to the nearest integer? 5196 What is 51929460 to the power of 1/2, to the nearest integer? 7206 What is the cube root of 103682603 to the nearest integer? 470 What is the square root of 17613629 to the nearest integer? 4197 What is the square root of 1153202489 to the nearest integer? 33959 What is the square root of 880058443 to the nearest integer? 29666 What is 3413271401 to the power of 1/10, to the nearest integer? 9 What is the cube root of 54041437 to the nearest integer? 378 What is 2726216803 to the power of 1/6, to the nearest integer? 37 What is 28244028 to the power of 1/3, to the nearest integer? 305 What is 643041730 to the power of 1/3, to the nearest integer? 863 What is the cube root of 23249325 to the nearest integer? 285 What is 6098327020 to the power of 1/6, to the nearest integer? 43 What is the sixth root of 1319410222 to the nearest integer? 33 What is 409698925 to the power of 1/2, to the nearest integer? 20241 What is the cube root of 320401364 to the nearest integer? 684 What is 327646186 to the power of 1/7, to the nearest integer? 16 What is 305294972 to the power of 1/8, to the nearest integer? 11 What is the third root of 1378976672 to the nearest integer? 1113 What is 488216197 to the power of 1/6, to the nearest integer? 28 What is 926505599 to the power of 1/3, to the nearest integer? 975 What is the sixth root of 49570709 to the nearest integer? 19 What is 659855750 to the power of 1/2, to the nearest integer? 25688 What is 234700560 to the power of 1/3, to the nearest integer? 617 What is 94210324 to the power of 1/8, to the nearest integer? 10 What is the third root of 24365938 to the nearest integer? 290 What is the sixth root of 358265221 to the nearest integer? 27 What is 31334351 to the power of 1/3, to the nearest integer? 315 What is the third root of 2638668024 to the nearest integer? 1382 What is the fifth root of 41357334 to the nearest integer? 33 What is the cube root o
{ "pile_set_name": "DM Mathematics" }
0, 1, 6, 15, 28? 45 What is next in -116, -137, -160, -185? -212 What comes next: 24, 106, 240, 420, 640? 894 What is next in -397, -753, -1123, -1513, -1929, -2377, -2863? -3393 What is next in 13, 18, 25, 34? 45 What comes next: 2570, 5138, 7706, 10274, 12842, 15410? 17978 What is the next term in -132, -128, -124? -120 What is next in -7, -38, -89, -160, -251? -362 What is the next term in -27, -107, -241, -429, -671, -967, -1317? -1721 What comes next: 200, 205, 212, 221? 232 What is next in 4, 4, -18, -74, -176, -336, -566, -878? -1284 What comes next: -40, -84, -138, -208, -300, -420, -574, -768? -1008 What comes next: 26, 19, 2, -31, -86? -169 What comes next: -19, -15, -3, 23, 69, 141, 245? 387 What is the next term in -1016, -2033, -3050, -4067? -5084 What comes next: 4, 3, -4, -23, -60, -121, -212? -339 What is the next term in -30506, -61013, -91520, -122027, -152534? -183041 What is the next term in 169, 168, 167, 166, 165, 164? 163 What is the next term in 1033, 1034, 1035, 1036? 1037 What comes next: 25, 104, 293, 646, 1217, 2060, 3229, 4778? 6761 What is next in 322, 1299, 2926, 5203, 8130? 11707 What comes next: -5289, -5287, -5285? -5283 What comes next: -2886, -2898, -2924, -2970, -3042? -3146 What is next in 3765, 3772, 3783, 3798, 3817? 3840 What is next in 439, 433, 427? 421 What is next in 690, 1383, 2076? 2769 What comes next: 383, 405, 431, 461, 495, 533? 575 What is the next term in -98, -198, -298? -398 What is the next term in 651, 650, 649, 648? 647 What comes next: -21, -19, -17, -15, -13? -11 What is the next term in 2, 15, 38, 77, 138? 227 What comes next: -1637, -1636, -1635, -1634? -1633 What is the next term in 39, 48, 69, 108, 171? 264 What is the next term in -4035, -4036, -4037? -4038 What is next in -23275, -23272, -23267, -23260, -23251, -23240, -23227? -23212 What is next in 90, 102, 112, 120, 126? 130 What is the next term in 4608, 4606, 4604, 4602, 4600, 4598? 4596 What is the next term in -43, -102, -179, -274, -387? -518 What comes next: -6, -38, -122, -282, -542? -926 What comes next: 2, 9, 18, 29? 42 What comes next: 10, 69, 174, 331, 546, 825, 1174, 1599? 2106 What is the next term in -4, 0, 16, 50, 108, 196, 320? 486 What comes next: -22, -57, -92, -127, -162, -197? -232 What is next in -1, -92, -341, -826, -1625, -2816, -4477, -6686? -9521 What comes next: 5, 4, 3, 2, 1, 0? -1 What is the next term in 4, 7, 20, 49, 100, 179, 292? 445 What is the next term in 1142, 2283, 3424? 4565 What comes next: -6, -18, -38, -66, -102, -146, -198? -258 What is the next term in 7, 5, 3, 1, -1, -3? -5 What is next in -359, -728, -1095, -1460, -1823, -2184, -2543? -2900 What is the next term in 281, 563, 845, 1127? 1409 What comes next: 33383, 33385, 33387, 33389? 33391 What comes next: -1276, -2552, -3826, -5098, -6368, -7636? -8902 What is the next term in 1, 17, 45, 79, 113, 141, 157? 155 What comes next: 61, 84, 127, 196, 297, 436, 619? 852 What is the next term in 3, -216, -807, -1956, -3849, -6672, -10611? -15852 What comes next: -25, -24, -23, -22, -21? -20 What is next in 1337, 1333, 1329, 1325, 1321? 1317 What comes next: 180, 185, 188, 183, 164, 125, 60? -37 What is next in 1650, 1642, 1622, 1584, 1522, 1430, 1302, 1132? 914 What is next in -52, -99, -146, -193? -240 What comes next: 162, 167, 172, 177, 182? 187 What comes next: 110, 108, 84, 26, -78? -240 What is the next term in -5, 11, 19, 13, -13? -65 What comes next: 249, 251, 251, 249? 245 What is next in 19115, 19116, 19117, 19118, 19119, 19120? 19121 What is the next term in 4930, 4928, 4926, 4924, 4922, 4920? 4918 What is next in -102, -96, -90, -84? -78 What is next in -25, -94, -209, -370, -577, -830? -1129 What is the next term in -25, -24, -23, -22, -21, -20? -19 What is next in 16, 26, 36, 46? 56 What is next in 109, 112, 115? 118 What comes next: 330, 337, 356, 393, 454, 545, 672, 841? 1058 What is next in -4172, -4175, -4180, -4187? -4196 What is next in -8, -32, -78, -158, -284, -468? -722 What comes next: 654, 1302, 1950, 2598? 3246 What comes next: -27, -58, -89, -120? -151 What is the next term in -4308, -4303, -4296, -4287? -4276 What is next in -608, -609, -610? -611 What is the next term in -9, -32, -61, -96, -137, -184, -237? -296 What is the next term in -4, 15, 58, 131, 240, 391, 590, 843? 1156 What is next in 37, 25, 13, 1? -11 What comes next: 130, 147, 170, 199? 234 What is next in -1840, -3684, -5534, -7390, -9252? -11120 What comes next: -93, -73, -53, -33? -13 What is next in -997, -1993, -2989, -3985? -4981 What is the next term in -568, -1131, -1692, -2251? -2808 What is the next term in -1320, -2644, -3968, -5292, -6616, -7940? -9264 What is the next term in -57, -120, -183? -246 What is next in 84, 95, 118, 159, 224, 319, 450, 623? 844 What is the next term in -10, 7, 42, 95, 166? 255 What is next in -11, -20, -19, -8? 13 What is next in -73, -74, -75? -76 What is the next term in -132, -139, -150, -165, -184, -207? -234 What is the next term in 89, 84, 69, 38, -15? -96 What is the next term in 289, 284, 277, 268, 257? 244 What is the next term in -41, -47, -53, -59, -65, -71? -77 What comes next: 26, 46, 66, 86, 106? 126 What is next in -152, -601, -1350, -2399, -3748? -5397 What comes next: 5, 60, 219, 536, 1065, 1860, 2975? 4464 What is next in -227, -458, -689? -920 What comes next: -3, -17, -47, -99, -179, -293, -447? -647 What is the next term in -898, -1789, -2680, -3571, -4462? -5353 What is next in 37, 31, 13, -23, -83, -173? -299 What is next in -634, -630, -626? -622 What is the next term in 0, 18, 52, 102? 168 What is next in 26606, 26602, 26596, 26588, 26578, 26566, 26552? 26536 What is next in -1127, -2241, -3341, -4421, -5475, -6497? -7481 What is the next term in 9, 13, 23, 39? 61 What is the next term in -27, -8, 39, 126, 265? 468 What is next in 0, -55, -216, -537, -1072? -1875 What comes next: -30521, -30522, -30523, -30524, -30525, -30526? -30527 What comes next: -30, -23, -2, 39, 106, 205, 342? 523 What is the next term in -283, -1134, -2543, -4504, -7011, -10058, -13639? -17748 What comes next: -1, -13, -41, -85, -145, -221? -313 What is next in -15329, -30668, -46017, -61382, -76769, -92184, -107633? -123122 What is next in 24, 38, 52, 66, 80? 94 What is the next term in -3, 29, 83, 159, 257? 377 What is the next term in -21, -89, -267, -609, -1169, -2001? -3159 What is next in -124, -250, -376? -502 What comes next: -66, -133, -202, -273, -346, -421? -498 What comes next: 366, 1475, 3324, 5913, 9242, 13311? 18120 What is the next term in -31, -33, -23, 5, 57, 139, 257? 417 What comes next: -13, -19, -13, 17, 83, 197, 371, 617? 947 What is the next term in 126, 112, 98? 84 What is the next term in 507, 508, 519, 546, 595, 672? 783 What comes next: -47, -38, -27, -14, 1, 18, 37? 58 What is the next term in 3, 3, 5, 9, 15, 23? 33 What comes next: 17, 33, 49, 65? 81 What is the next term in -111, -45, 57, 189, 345? 519 What is the next term in -253, -255, -257, -259? -261 What is the next term in -52, -59, -88, -151, -260, -427, -664, -983? -1396 What is next in -16, -17, -18, -19? -20 What is next in 2591, 5183, 7775, 10367? 12959 What is next in -116, -231, -350, -473, -600, -731? -866 What is next in 15, -75, -233, -465, -777, -1175, -1665? -2253 What is the next term in 163, 166, 169, 172, 175, 178? 181 What is next in 48, 74, 100, 126, 152, 178? 204 What is the next term in 5031, 5033, 5035, 5037, 5039, 5041? 5043 What comes next: -371, -1452, -3253, -5774, -9015? -12976 What comes next: 23, 266, 927, 2216, 4343? 7518 What is the next term in -59, -131, -203, -275, -347? -419 What is next in 155, 301, 451, 605, 763? 925 What comes next: -330, -322, -310, -294, -274, -250, -222? -190 What is the next term in -41, -78, -109, -134, -153, -166? -173 What comes next: 27, 91, 195, 339? 523 What is the next term in -109, -438, -985, -1750, -2733? -3934 What comes next: -76, -152, -228? -304 What is next in 13, 12, 27, 64, 129, 228? 367 What comes next: 118, 929, 3130, 7417, 14486, 25033, 39754, 59345? 84502 What comes next: 97, 191, 273, 337, 377, 387? 361 What comes next: -15, 10, 51, 114, 205, 330, 495, 706? 969 What comes next: -191, -199, -209, -221, -235, -251, -269? -289 What is next in
{ "pile_set_name": "DM Mathematics" }
derivative of q**2*x**3 - 321789*q**2*x**2 - 25*q**2 - 8528*q*x**3 + 2*q*x**2 + q - 2*x**3 - 20*x**2 - 12*x wrt q. 2*x**3 - 643578*x**2 - 50 Differentiate 1425*l**4 + 5*l**3 - 15*l**2 + 7*l - 16829038 with respect to l. 5700*l**3 + 15*l**2 - 30*l + 7 What is the second derivative of -407448839*n**4 + 416950914*n wrt n? -4889386068*n**2 What is the third derivative of -10686965*j**3 + 819655*j**2? -64121790 What is the third derivative of -5*v**4*z**2 - 3*v**4 + 19379*v**3*z - 26*v**2*z + 3*v**2 + 373*v + 5*z**2 wrt v? -120*v*z**2 - 72*v + 116274*z Find the second derivative of 55*i**5 - 27819*i**4 + 2242645*i + 2 wrt i. 1100*i**3 - 333828*i**2 What is the third derivative of 9873*l**6*m**2 + 982*l**3*m**2 - 240*l**2*m**2 - 315*l**2*m + 2*l*m**2 - 12*m**2 wrt l? 1184760*l**3*m**2 + 5892*m**2 What is the derivative of -108313*m**3*z + 44197107*m**3 + 307*z wrt z? -108313*m**3 + 307 Find the third derivative of 639250621*y**3 - 2*y**2 - 39197*y + 73. 3835503726 What is the first derivative of -8868859*a**3 - 14427888? -26606577*a**2 Find the third derivative of l*v*y**3 - 4*l*v*y**2 - 7528*l*v*y - 9*l*y**4 - 18*l - 33354*v*y**4 wrt y. 6*l*v - 216*l*y - 800496*v*y Find the second derivative of s**2*u**2 - 15108838*s**2*u + 574*s*u**2 + 1803*s wrt s. 2*u**2 - 30217676*u Find the third derivative of 20946944*c**4 + 10666*c**2. 502726656*c Find the second derivative of -28016*n**5 + 136*n**4 - n**2 + 107914221*n. -560320*n**3 + 1632*n**2 - 2 Find the second derivative of 704*n*q**5 + 15554*n*q**3 - 137094*n*q - 3*q + 79 wrt q. 14080*n*q**3 + 93324*n*q What is the third derivative of 98336739*k**2*q**3 + 22*k**2*q**2 - 13*k**2 + q**2 - 174*q wrt q? 590020434*k**2 What is the second derivative of -8776621*t**2 - 5668078*t wrt t? -17553242 What is the third derivative of -11947376*k**6 - 6853257*k**2 wrt k? -1433685120*k**3 What is the second derivative of -283656594*k**5 - 225354455*k wrt k? -5673131880*k**3 Find the first derivative of 12484323*b*l + 65494*l - 30 wrt b. 12484323*l Find the second derivative of 171160100*l**2 - 137181255*l. 342320200 What is the third derivative of 3*k**4 + 15139020*k**3*n + 2*k**2*n + 423*k**2 + 2*k*n - 20*k + 41 wrt k? 72*k + 90834120*n Find the third derivative of 65633097*c**3 + c**2 + c - 1954594 wrt c. 393798582 Find the third derivative of 1745*s**5 + 167*s**3 + 2*s**2 - 1249600*s. 104700*s**2 + 1002 Find the second derivative of -3*n**3*v**2 - 837322*n**3*v + 397053*n**2*v**2 - n**2*v - 6*n*v wrt v. -6*n**3 + 794106*n**2 Differentiate -g**2*q - 1316*g**2 - 2*g*q + 50744*g + 357638472*q - 2 wrt g. -2*g*q - 2632*g - 2*q + 50744 Differentiate -38807391*k**2 + 81721269 with respect to k. -77614782*k What is the second derivative of -9236923*r**5 - 22*r + 7054 wrt r? -184738460*r**3 What is the second derivative of -2*x**4 + x**3 + 19914*x**2 - 31*x + 62750? -24*x**2 + 6*x + 39828 What is the third derivative of 1061757*d**2*o**3*x**2 + 6*d**2*o**3 - 394*d**2*x + 32*d*o**2*x**2 - 86*o**2*x**2 wrt o? 6370542*d**2*x**2 + 36*d**2 What is the third derivative of -271332741*u**5 - 149066807*u**2 wrt u? -16279964460*u**2 What is the first derivative of 177346646*j**2 + 17503851? 354693292*j Find the third derivative of -22416680*r**6 - 11*r**2 + 1167010 wrt r. -2690001600*r**3 What is the derivative of 2210*l*v**2 - l*v + 13189211*l + 434*v**2 wrt v? 4420*l*v - l + 868*v What is the second derivative of -58*d*n**4 + d*n**3 + d + 72*n**2 + 1551583*n wrt n? -696*d*n**2 + 6*d*n + 144 Find the second derivative of -9489601*t**4 + 16311169*t. -113875212*t**2 What is the first derivative of -580690408*j*q**2 + 24*q**2 + 2*q + 3097098 wrt j? -580690408*q**2 Find the second derivative of 66925*h**4 - h + 998182 wrt h. 803100*h**2 Find the third derivative of -1182738*m**3 - m**2 - 112755 wrt m. -7096428 Find the first derivative of -18715970*x**4 + 4*x**2 + 2*x - 167013589 wrt x. -74863880*x**3 + 8*x + 2 What is the first derivative of -15377295*f**2*t - 16322883*f**2 wrt t? -15377295*f**2 What is the second derivative of 113*r**4 - 51208*r**2 + 195939*r - 4? 1356*r**2 - 102416 Find the second derivative of 15738421*y**4 + 866308*y + 5. 188861052*y**2 Differentiate -7199947*b**3 + 8927774. -21599841*b**2 What is the second derivative of 158374283*t**5 - 3*t - 1323973 wrt t? 3167485660*t**3 What is the third derivative of -2*l**3*z**3 + 32807*l**3*z**2 + 3*l**3*z + 798*l**2*z**3 + 1033*l*z**3 wrt l? -12*z**3 + 196842*z**2 + 18*z Find the second derivative of 8886958*d**4 + 5999375*d - 3 wrt d. 106643496*d**2 What is the second derivative of 26594*z**4 + 25*z**3 + z**2 - 14246192*z? 319128*z**2 + 150*z + 2 Differentiate 48289808*l**2 - 109212820 with respect to l. 96579616*l What is the first derivative of -6*z**3 - 122768*z**2 + 18*z + 87530652? -18*z**2 - 245536*z + 18 What is the second derivative of 388*s**3 - 41794*s**2 + 4169396*s - 9 wrt s? 2328*s - 83588 Find the second derivative of 44403*r**3 - 36*r**2 + 21544798*r wrt r. 266418*r - 72 What is the derivative of 21875*k**3 + 228*k - 806000486? 65625*k**2 + 228 What is the second derivative of -23952*g**4 - 8*g**3 - 33*g**2 - 884958*g - 66? -287424*g**2 - 48*g - 66 Find the third derivative of -15071642*l**3 + 25055710*l**2 wrt l. -90429852 What is the derivative of 23808300*c**3 + 80564283? 71424900*c**2 What is the third derivative of -21*d**3*h**2*p + 123178*d**3*h*p**2 - d**2*h**2*p - d**2*h*p**2 - 3*d**2*h - 5*d*p**2 - 10952*h**2*p wrt d? -126*h**2*p + 739068*h*p**2 What is the second derivative of 123690072*j**4 - 142319009*j wrt j? 1484280864*j**2 Find the third derivative of 96*a**3*j**3 + 10251*a**3*j + 20*a**2*j**3 - 3529*a**2*j - 98*a*j**2 wrt a. 576*j**3 + 61506*j What is the third derivative of -4765*o*u**4*y + 2*o*u**3 - 150163333*o*y - 36*u**4*y - 2*u**2*y wrt u? -114360*o*u*y + 12*o - 864*u*y What is the second derivative of 46706812*n**2 - 1009423441*n? 93413624 Find the second derivative of 156290714*i**5 - 2*i + 187289176 wrt i. 3125814280*i**3 What is the second derivative of -861555269*v**4 + 2*v - 974436778 wrt v? -10338663228*v**2 What is the derivative of 239980*f**2 - 197*f*p**2 - 1141616415*p**2 wrt f? 479960*f - 197*p**2 What is the derivative of 327394454*t + 655382363 wrt t? 327394454 Differentiate 4*j**4 - 670403*j**2 - 17867266 wrt j. 16*j**3 - 1340806*j Find the third derivative of 361140655*u**3 + 326*u**2 + 205*u + 27. 2166843930 Find the second derivative of 6284*s*u**2 + 2*s*u + 156*s - 936*u**2 - 545*u + 7 wrt u. 12568*s - 1872 What is the second derivative of -646274*f**2*g**3 + 104*f**2*g + f*g - 4*f - 15483*g**3 - 7*g wrt f? -1292548*g**3 + 208*g Find the second derivative of 4777492*i**2 + 27777667*i wrt i. 9554984 Find the second derivative of 19532141*q**2 - 223459*q + 31. 39064282 Find the first derivative of 794872891*v + 406246121 wrt v. 794872891 What is the derivative of 108519027*w - 71196599 wrt w? 108519027 What is the derivative of -21877757*j**4 - 2*j*m + 97*m - 1097 wrt j? -87511028*j**3 - 2*m What is the second derivative of -217251527*k**2 - 210844*k + 571? -434503054 What is the third derivative of -2*g**3*h**3 + 3046554*g**3*h - 25*g**2*h**3 + 3*g**2*h + 280*g*h**3 + h + 2 wrt g? -12*h**3 + 18279324*h What is the third derivative of f**3*m**3 + 154472940*f**3*m**2 - 4*f**2*m**3 + 87145*m**3 - 59*m**2 wrt f? 6*m**3 + 926837640*m**2 What is the second derivative of -246347*g**5 - 58*g**2 + 102*g + 41214 wrt g? -4926940*g**3 - 116 Find the third derivative of -6*m**3*p**3 - 157*m**3*p**2 - 19725*m**2*p**3 + 12454*m**2*p wrt p. -36*m**3 - 118350*m**2 Find the third derivative of 19616575*a**4 - 47*a**2 - 26456*a + 1 wrt a. 470797800*a What is the derivative of -70543*o**4 + 9*o - 4911560 wrt o? -282172*o**3 + 9 Differentiate 299471078*d + 300256194 with respect to d. 299471078 What is the first derivative of 4229004*h + 23197313 wrt h? 4229004 Find the third derivative of 13941472*k**6 + 47394261*k**2 wrt k. 1672976640*k**3 Differentiate 859*a*j**3 - 3*a*j - 967*a - 3829*j**3 + 220 wrt a. 859*j**3 - 3*j - 967 What is the second derivative of 5*r**4 + 1771*r**3 - 9*r**2 - 48333631*r? 60*r**2 + 10626*r - 18 What is the first derivative of 1613*v*w**2 - 2*v*w - 813083*v + 5*w**2 + 94*w - 4 wrt w? 3226*v*w - 2*v + 10*w
{ "pile_set_name": "DM Mathematics" }
1, e: 2, r: 2, a: 6, u: 4}. Give prob of sequence ra. 2/35 Two letters picked without replacement from zukukzqkjhuh. Give prob of sequence hz. 1/33 Three letters picked without replacement from {b: 13, i: 5}. Give prob of sequence ibb. 65/408 What is prob of sequence hh when two letters picked without replacement from {i: 7, h: 6}? 5/26 What is prob of sequence rrro when four letters picked without replacement from orrrrorrorrrrrrororr? 455/3876 Two letters picked without replacement from olool. Give prob of sequence ol. 3/10 What is prob of sequence hw when two letters picked without replacement from kwh? 1/6 Four letters picked without replacement from qmttmtrjmmjmrmtqrm. What is prob of sequence jttq? 1/1530 Calculate prob of sequence hs when two letters picked without replacement from {f: 1, t: 1, h: 1, y: 1, s: 1}. 1/20 Three letters picked without replacement from {w: 3, e: 1, d: 2, o: 7, q: 7}. Give prob of sequence qwd. 7/1140 Two letters picked without replacement from {i: 2, m: 1, j: 1, h: 2, s: 1, b: 2}. Give prob of sequence is. 1/36 Calculate prob of sequence faa when three letters picked without replacement from aaffnfanfanf. 1/22 Calculate prob of sequence jo when two letters picked without replacement from {p: 1, j: 4, l: 6, o: 2}. 2/39 Two letters picked without replacement from {n: 10, m: 10}. Give prob of sequence mn. 5/19 Four letters picked without replacement from icclcccicccccicc. What is prob of sequence lcic? 33/3640 What is prob of sequence bb when two letters picked without replacement from cbbbbbccbbb? 28/55 Three letters picked without replacement from zdddddjznndn. Give prob of sequence znz. 1/220 What is prob of sequence mzrz when four letters picked without replacement from {l: 4, p: 2, z: 3, r: 2, m: 1}? 1/990 Calculate prob of sequence ece when three letters picked without replacement from {e: 8, m: 4, c: 5, t: 2}. 140/2907 Calculate prob of sequence qq when two letters picked without replacement from {k: 4, q: 5, m: 2}. 2/11 Calculate prob of sequence fmlm when four letters picked without replacement from lflfllmllmffffl. 1/390 Calculate prob of sequence pp when two letters picked without replacement from {p: 6, x: 6}. 5/22 Four letters picked without replacement from {u: 1, l: 7, b: 10}. What is prob of sequence bbul? 7/816 Three letters picked without replacement from {n: 2, o: 1, y: 3, b: 1}. Give prob of sequence byo. 1/70 Calculate prob of sequence molo when four letters picked without replacement from olommomlomoooo. 8/429 What is prob of sequence nv when two letters picked without replacement from {b: 1, n: 2, s: 1, v: 4, u: 2}? 4/45 What is prob of sequence ii when two letters picked without replacement from {s: 5, i: 13}? 26/51 What is prob of sequence ta when two letters picked without replacement from ayost? 1/20 Four letters picked without replacement from {j: 8, o: 3, c: 7}. What is prob of sequence ojjj? 7/510 What is prob of sequence so when two letters picked without replacement from sffippssppofosfo? 1/20 Two letters picked without replacement from {s: 1, w: 1, f: 2, n: 1, l: 2}. What is prob of sequence wn? 1/42 Three letters picked without replacement from ifaitaiitafaa. Give prob of sequence tfa. 5/429 Two letters picked without replacement from ddotbetduuuduttuuudt. Give prob of sequence uo. 7/380 Calculate prob of sequence yjj when three letters picked without replacement from ypapjjjyjyyypjj. 5/91 Four letters picked without replacement from zfzfxpfpzxzf. Give prob of sequence pxzp. 2/1485 Two letters picked without replacement from {s: 1, b: 2, u: 2, g: 12, f: 3}. What is prob of sequence us? 1/190 Two letters picked without replacement from teenns. What is prob of sequence ns? 1/15 Calculate prob of sequence kn when two letters picked without replacement from {n: 5, k: 2, c: 2, r: 1, y: 7, g: 3}. 1/38 What is prob of sequence gwt when three letters picked without replacement from {k: 1, n: 1, w: 3, t: 1, g: 3, x: 2}? 1/110 Two letters picked without replacement from rrrrthrrrrrtrhr. What is prob of sequence th? 2/105 What is prob of sequence izis when four letters picked without replacement from izzildkzlsl? 1/1320 Four letters picked without replacement from ninntiitniinnnnn. Give prob of sequence nnii. 3/91 Three letters picked without replacement from rrrrcrrrrrrhhr. Give prob of sequence hrh. 11/1092 Three letters picked without replacement from hskhaakkkkah. Give prob of sequence ash. 3/440 Two letters picked without replacement from gmgtm. Give prob of sequence gt. 1/10 Three letters picked without replacement from jqcq. What is prob of sequence qcj? 1/12 Calculate prob of sequence ogl when three letters picked without replacement from owslwslllogswwswlloo. 1/285 Two letters picked without replacement from {y: 2, d: 2, r: 1, h: 4, a: 5, x: 1}. What is prob of sequence yd? 2/105 Three letters picked without replacement from dinxa. Give prob of sequence ida. 1/60 Three letters picked without replacement from {u: 16, z: 4}. Give prob of sequence zuu. 8/57 Calculate prob of sequence gbg when three letters picked without replacement from ggb. 1/3 Two letters picked without replacement from oeeooeveooevevo. Give prob of sequence ov. 3/35 Two letters picked without replacement from {h: 5, y: 9, a: 2}. Give prob of sequence ay. 3/40 What is prob of sequence bb when two letters picked without replacement from kkokboooboooobpyok? 1/51 Calculate prob of sequence hbtt when four letters picked without replacement from {t: 3, m: 1, b: 1, h: 2}. 1/70 Two letters picked without replacement from {x: 4, v: 3, l: 2, m: 2}. What is prob of sequence xm? 4/55 Four letters picked without replacement from {m: 16, i: 2}. Give prob of sequence immm. 14/153 Two letters picked without replacement from bubvuubbbbubvb. What is prob of sequence bb? 4/13 What is prob of sequence uu when two letters picked without replacement from zjjjojuuujjj? 1/22 What is prob of sequence iiii when four letters picked without replacement from {i: 5}? 1 Two letters picked without replacement from xskvxyvxxsykx. What is prob of sequence vv? 1/78 Four letters picked without replacement from iiiiiiigiigi. Give prob of sequence iiii. 14/33 Calculate prob of sequence pu when two letters picked without replacement from {u: 3, t: 3, s: 5, p: 5, m: 2}. 5/102 What is prob of sequence lrcb when four letters picked without replacement from clllbrrcrrrcbrrr? 3/910 What is prob of sequence uk when two letters picked without replacement from ukuokkuuokkoukokuuo? 49/342 Two letters picked without replacement from qqqhqqqq. What is prob of sequence qq? 3/4 Four letters picked without replacement from {p: 1, z: 1, y: 1, a: 1, i: 1}. What is prob of sequence ypia? 1/120 What is prob of sequence lsp when three letters picked without replacement from ssllpll? 4/105 Three letters picked without replacement from wwksckkckwkkv. Give prob of sequence cwv. 1/286 Three letters picked without replacement from {y: 2, d: 2, s: 1, h: 7, l: 8}. What is prob of sequence lyh? 14/855 What is prob of sequence cbn when three letters picked without replacement from nubncc? 1/30 Calculate prob of sequence ww when two letters picked without replacement from poopppwppwopfwfwjof. 2/57 Calculate prob of sequence ej when two letters picked without replacement from eeejeeeeeeee. 1/12 Four letters picked without replacement from ssjjjjsdssisddsssss. Give prob of sequence jidi. 0 Calculate prob of sequence vr when two letters picked without replacement from qqcervcrqqreeecv. 1/40 Calculate prob of sequence klli when four letters picked without replacement from kiiikliiliiiili. 1/273 What is prob of sequence nbq when three letters picked without replacement from bbbbbidnbbnqiibqbn? 3/272 Calculate prob of sequence kkkx when four letters picked without replacement from {h: 2, e: 2, k: 4, x: 3}. 1/110 Calculate prob of sequence ir when two letters picked without replacement from {p: 2, r: 2, i: 2}. 2/15 Calculate prob of sequence se when two letters picked without replacement from {h: 2, s: 1, k: 3, e: 6}. 1/22 What is prob of sequence zbr when three letters picked without replacement from {j: 1, z: 3, h: 7, b: 2, r: 1}? 1/364 Calculate prob of sequence uuyt when four
{ "pile_set_name": "DM Mathematics" }
c a composite number? True Let r be 1*((-10)/(-12))/5*18. Suppose -r*w = 3247 - 10318. Is w a composite number? False Let g(d) = -6*d - 11. Let s be g(-6). Let b = 27 - s. Suppose -b*o + 3*n + 267 = -91, -2*o + 5*n + 350 = 0. Is o a composite number? True Let y = -86953 + 169174. Is y prime? False Let k(o) = 11*o**2 - 62*o - 580. Is k(91) a composite number? False Suppose 269 + 87 = 4*t. Suppose 3*b + 3*d + 261 = 0, -2*b + 3*b = 2*d - 84. Let h = b + t. Is h prime? True Suppose 2*v + 392 = 428. Suppose v*w = 25*w - 5047. Is w a prime number? False Let s(x) = 2*x**3 + 14*x**2 - 13*x - 57. Suppose 0 = 2*z + 3*i - 13, -i + 2*i = 3*z - 47. Is s(z) a composite number? False Suppose 291 = 375*z - 372*z. Is z*2*(1 + 45/18) a composite number? True Suppose 5*h + 63222 = 4*k, 2*k + 39*h - 31602 = 37*h. Is k a composite number? False Let z = -16 + 10. Let y(l) = -l**3 + 11*l**2 - 2*l - 1. Let m be y(z). Suppose -2*n + 2249 = m. Is n prime? False Let z be (255 - -1)*(-51)/102. Suppose 3*x - 1119 = -354. Let l = x + z. Is l a prime number? True Suppose 5 = 7*b - 16. Let m be b/(-12) - (2031027/(-12) + -5). Is m/121 - (-4)/22 a prime number? True Let i be (-12201)/(-2) + 21/42. Suppose 0 = k - 17885 + i. Suppose -4*c + 2044 = -k. Is c a prime number? True Let o(s) = -8*s. Let g be o(0). Suppose k = h + 1169, 2*k = -g*k - 4*h + 2350. Is k a prime number? True Let b(m) = 5*m + 43. Let s be b(-8). Suppose -s*w - 3259 = -151. Let z = w + 1853. Is z a prime number? False Let s = -712283 + 1033365. Is s a prime number? False Let z = 78 + -66. Suppose z*n - 7*n - 213965 = 0. Is n prime? True Suppose 25*i - 503501 - 89393 = 51931. Is i a composite number? False Let r be 3*(53920/(-24))/10. Let x = 1022 + -3749. Let v = r - x. Is v composite? False Let y = 308 - 299. Suppose 8426 = 11*i - y*i. Is i a prime number? False Suppose -44*k = -50*k + 145914. Let u = -16728 + k. Is u a prime number? True Let b be (-2 + 1)*2802*12/(-8). Let m = b + -2302. Is m composite? False Suppose -2*y - 7*u + 3*u = -27794, 0 = 8*u - 24. Is y composite? True Suppose -3*p + 9*u = 5*u - 3211883, 5*p - 5353130 = 5*u. Is p a prime number? True Let a = 41 - 30. Let t = -6 + a. Suppose t*p - 12680 = -3*p. Is p composite? True Let h(i) = -11*i + 9. Let v be h(0). Is v/6*((-30660)/(-18) + 4) a prime number? False Suppose 22823 = 52*i - 51*i. Let w = i + -15432. Is w a composite number? True Suppose 4*n - 234239 = -a, -6*a + 5*n + 3513585 = 9*a. Is a prime? True Suppose -37*g + 3433627 - 272310 = 0. Is g composite? True Let f be (1/1 - 59/(-2))*302. Suppose 3*n + 14 = -1, 3*l = 5*n + f. Let y = l - 1911. Is y prime? True Let i be ((-12)/(-18) - 19/(-3)) + -4. Suppose w = -4*v + 12, -5*v + 2*w + i*w + 15 = 0. Suppose -v*g = -g - 2506. Is g a prime number? False Let v(g) be the third derivative of g**4/2 + 19*g**3/2 - g**2 - 45. Is v(6) a composite number? True Suppose 13*y + 4 = 15*y. Suppose -5*t + z + 21 = 0, t = 4*t + y*z - 23. Suppose -5*m - j + 3453 = 0, -j = -t*m + 2*j + 3461. Is m prime? True Let r be 5 - (-4)/(-20)*5. Suppose 4*n = r, -b + 1 = 2*b + n. Suppose s - 4*s + 885 = b. Is s composite? True Let x = -8 + 13. Suppose 5*p - 19 + 2 = -v, x*p = -5*v + 45. Suppose -2*g - 5409 = -v*g + h, 0 = -2*g + h + 2166. Is g composite? True Is (-23797261)/(-335) - (-12)/5 prime? True Let s(z) = -z**3 - 9*z**2 - 10*z - 12. Let d be s(-8). Suppose -2*o - j = -51, -4*o + 7*j + 127 = d*j. Suppose -o*y = -24*y - 2228. Is y a composite number? False Let y(s) = 25517*s + 16. Is y(5) composite? False Let f(b) = 7*b**3 + 58*b**2 + 14*b + 2. Let n be f(-8). Suppose 0 = 8*v - n*v + 20170. Is v composite? False Suppose -25*c + 199520 + 767226 = -647679. Is c a composite number? False Suppose 4*y + 2*q = -28, 5*y - 16 = 5*q - 81. Is y + (1 - -4) + (-1 - -690) a composite number? True Suppose 0 = -5*n + 20, 5*r = 4*n - 39 + 8. Let a(j) = 13*j**2 - 4. Is a(r) a composite number? False Suppose -q + 1458444 = -5*m + 3892981, -4*q + 1947620 = 4*m. Is m a prime number? True Suppose -2*y = -5*g - 1792334, -y - 4*y + 13*g + 4480835 = 0. Is y prime? True Let x(r) = -754*r**3 - 5*r**2 + r + 7. Let d(o) = 1509*o**3 + 11*o**2 - 3*o - 13. Let i(n) = -6*d(n) - 13*x(n). Is i(3) composite? True Let y be ((-52)/65 + 6/15)*-5. Suppose 0 = -y*o + 5*o - 8367. Is o composite? False Suppose -4*s = 2*n - 16, -s - 2*s = n - 11. Suppose 4*d = -j - 0*j + 1467, -5*d + 4408 = s*j. Is j a prime number? True Let d = 32 - 28. Is (d*-1 - 493560/36)/(-2) a prime number? True Suppose 5*i - f = -6*f + 40, -14 = -2*i - f. Suppose 0 = -d - 5*s + 796, 4*d - 3294 = 8*s - i*s. Is d prime? True Let w = -2 - -18. Let c be -39*(-3 - w/(-12)). Suppose 0 = -4*q - q + c. Is q prime? True Let a(q) = -12*q**3 + 9*q**2 - 6*q - 7. Let k = -427 - -419. Is a(k) prime? True Let q be (-2)/4 + 5/2. Suppose 4*y = q*n - 5*n - 1, -7 = -5*n + 2*y. Let d(o) = 492*o - 1. Is d(n) composite? False Suppose -8*b + 96 + 64 = 0. Suppose -3377 = b*q - 21*q + 2*j, -16858 = -5*q + j. Is q a composite number? False Let z(x) = -930*x**3 + 4*x**2 + 19*x + 14. Is z(-3) composite? True Let c(f) = 5*f - 68. Let y(o) = -2*o + 23. Let r(t) = 4*c(t) + 11*y(t). Let u be r(-8). Let g(m) = 603*m**2 - 5*m - 7. Is g(u) prime? False Let b(y) = 628*y**2 + 93*y + 21. Is b(-8) a composite number? True Let h = 18 - -1. Let a(w) = 2*w - 35. Let x be a(h). Suppose 0 = 4*j - 5*f - 1248, 0 = -5*j + x*f + 1401 + 172. Is j composite? False Suppose -98*g = -97*g + 2, -3*m = 4*g - 174346. Is m composite? True Suppose -2*i = 2*u + 6, -u + 4*i - 13 + 35 = 0. Let o be 7/(518/(-892)) + 4/74. Is -10*(-4)/o*(-3063)/u a composite number? True Let y be (15/(-10))/(-3 + 108/40). Suppose 2077 = y*u - t, 5*u + 4*t = t + 2069. Suppose r - 62 = -3*c + 23, -5*r - 5*c = -u. Is r prime? False Suppose 0 = 3*i - 101 + 5. Suppose -31*q - 2005 = -i*q. Is q a prime number? False Suppose 8*i - 10 = 3*i. Let o be i*(1/8 - (-99)/72). Suppose a + 356 = o*a. Is a a composite number? True Suppose 9738326 = 56*n - 957842. Is n prime? False Suppose -y = -2*q, -2*y - q + 2*q + 12 = 0. Let a be (-285)/(-20)*7 + 2/y. Suppose 0 = -6*h - 10 + a. Is h a prime number? False Is (3603033/147)/(18/798) a composite number? True Let z be ((-16)/(-32))/(3/((-456)/(-2))). Suppose -z*f + 115996 = -86658. Is f prime? True Let o = -24869 + 35352. Is o a composite number? True Let p(i) = 5 - i**3 + 0*i**3 + 89*i - 18 - 93*i - 5*i**2. Let s(q) = -9*q**3 + 2*q**2 - 2*q + 1. Let a be s(1). Is p(a) prime? True Let n(h) = -h - 9. Let o be n(-4). Let c be (o - (-42)/9)/(2/(-47202)). Suppose 12*k - c = -895. Is k a prime number? False Suppose -161*v + 2744948 = -2320273. Is v prime? False Suppose -3*k + 6*k = 6, -5*r - 5702913 = -4*k. Is r/(-153) + (-4)/(-18) - 2 a composite number? True Suppose 214*m = 202*m + 8225436. Is m prime? True Let r = -325 - -339. Suppose r*q - 132697 = 182877. Is q a composite number? False Let a(l) = 15*l + 66. Let b be a(-4). Suppose b*p + 81 - 5415 = 0. Is p composite? True Suppose -3*d - d = b - 27915, d = 3*b + 6969. Suppose 6*m - d - 4860 = 0. Is m a prime number? True Suppose 4*b - 1358989 = -5*o + 91589, 362641 = b + 3*o. Is b composite? True Let w = -2701 + 1458. Let o(d) = -3575*d - 1. Let z be o(1). Let k = w - z. Is k composite? False Let p(c) be the second derivative of 13*c**4/12 + 2*c**3/3 - 17*c**2 + c + 82. Is p(19) prime? False Let h = -108 + 117. Suppose -21*y = -h*y - 15276. Is y prime? False Suppose 2 + 6 = v + 2*o, 2*o - 10 = -2*v. Suppose -3*k + 33 = -k + 5*f, -5*k + v*f = -10. Let t = 255 - k. Is t prime? True Suppose -m - 461448 = -3*v, 57*v + m = 62*v - 769076. Is v a composite number? True Suppose 2*s = -23 + 517. Suppose 3*j + 5*h - 913 = -j, 0 = j + 5*h - s. Suppose 0 = -0*a - 3*a + j. Is a a prime number? False Let u(q) = -q**2 - 7*q - 24. Let i be u(-7). Is ((235554/i)/11)/((-3)/12) composite? True Let w = 24186 - 18753. Is w prime? False Let h(q) = 6*q**3 - 4*q**2 - 6*q + 13. Suppose -15 = -y - 5*w, 0*y - 2*w + 60 = 4*y. Suppose -y = 10*o - 13*o. Is h(o) composite? True Let s be 3 + -2 + 6/(-2) - -8. Suppose -x = -s*x + 4455. Suppose 0 = b - 4*t - 903, -3*b + 2*b + t = -x. Is b a prime number? True Suppose -668*b = -525*b - 80225717. Is b a composite number? False Let b = 40 + -35. Suppose 0 =
{ "pile_set_name": "DM Mathematics" }
14. Let m = k - 6. Sort m, -1/2, 0.3 in increasing order. -1/2, 0.3, m Let x = 13 - 14. Sort x, 1/2, 3/8 in increasing order. x, 3/8, 1/2 Let a be (-1)/(-4) - (-4)/48. Suppose 5*n - 6 = -1. Sort a, n, -3 in decreasing order. n, a, -3 Let m = -0.01 - 2.99. Let w = 0.1 - 1.1. Let v = 0.5 + w. Put v, m, 1/3 in increasing order. m, v, 1/3 Let l = 1 - 5. Let c = 6 - 4. Let z be 0 + (c - (-34)/(-18)). Sort z, 5, l in descending order. 5, z, l Suppose -4*c = 15 + 1. Let a = c - -3. Let d be (a + 1)/(5/(-5)). Sort d, 5, -3 in descending order. 5, d, -3 Suppose 0 = 3*l - 4*l + 4. Let g(t) = t**2 + t - 5. Let x be g(0). Let w = l + x. Sort -5, w, 0. -5, w, 0 Suppose -3*m - 9 = 2*x - x, 2*x = -2*m - 6. Let y be m/(3 - -3)*-2. Put -4, y, 3 in decreasing order. 3, y, -4 Let d = -2 - -1. Suppose 3*u + 4*a = 0, 0 = -4*u - 8*a + 3*a. Sort 5, d, u. d, u, 5 Suppose 4*k - 3*a - 17 = -k, -5*k - 3*a = 7. Put -3, k, 0, -1 in ascending order. -3, -1, 0, k Let r = -230 + 228. Let c = -0.2 - 0.3. Sort 1, c, r. r, c, 1 Let q be (3 - 1)*1*18/(-9). Sort 2, q, 6 in ascending order. q, 2, 6 Let p = 0.08 + -2.13. Let z = p + 0.05. Let g = 0.5 - 0.4. Put -1/3, z, g in descending order. g, -1/3, z Suppose -15 = w - 4*w. Let a = -65/3 - -22. Put a, w, 1 in ascending order. a, 1, w Let l = -47 + 49. Put l, 0, -4 in decreasing order. l, 0, -4 Let l = -43/3 - -15. Sort -0.3, -2, 5, l in decreasing order. 5, l, -0.3, -2 Let k(j) = -2*j**2 + 15*j - 14. Let r be k(6). Put r, -4, 0 in descending order. r, 0, -4 Let x(d) = -d**3 + 7*d**2 - 8*d + 7. Let q be x(6). Sort -4, 2, q. q, -4, 2 Let m be 3/((-36)/15)*-4. Let v(b) be the second derivative of -b**5/20 + b**4/4 + 5*b**3/6 - 3*b**2 + 2*b. Let f be v(4). Put f, m, 1 in ascending order. f, 1, m Let j = -35 - -34. Sort j, 5, 2 in ascending order. j, 2, 5 Let a = 109.9 - 110. Put -4, 0.3, a in increasing order. -4, a, 0.3 Suppose -u + 2 = 3. Suppose 3*m + 10 = -5*f + 2*m, -4*m = -4*f - 32. Let p be 2/(-6) + 26/6. Sort p, u, f. f, u, p Let q = 19 + -16. Suppose -5*y - r + q*r + 5 = 0, r = 0. Sort y, -4, -3 in ascending order. -4, -3, y Let p(b) = b**2 + b - 4. Let u = 7 + -10. Let z be p(u). Let m be z/((-6)/(-10) - 1). Put m, 5, -1 in increasing order. m, -1, 5 Let q = -1/11 + -15/77. Let n = 2.5 - 2. Sort -2/9, n, q in descending order. n, -2/9, q Let f = 213 + -132. Let j = 321/4 - f. Sort -5, j, 3 in descending order. 3, j, -5 Let c = 10 + -7. Let k be (-2)/c*(-1 - 5). Let y = 3 + -2. Sort y, k, -1 in ascending order. -1, y, k Let l = -0.38 + 0.08. Let v = 0.4 + l. Let i = v - 1.1. Sort 1, i, 0.5. i, 0.5, 1 Suppose -3*f + 10 = 7*f. Put f, -13, -5 in increasing order. -13, -5, f Let u = 5.9 + 0.1. Let z = u + -6.3. Sort 2, z, 0.4 in increasing order. z, 0.4, 2 Let w = -0.4 + 0.2. Let t be -10 - -7 - (-1 + 0). Put 2/9, t, w in descending order. 2/9, w, t Let l be 2 - -3*(2 - 1). Let j = 83 - 58. Suppose 3*n + j = -2*n. Sort l, n, -2. n, -2, l Suppose -27 = -4*n + 3*u - 8, 8 = -2*n - 2*u. Put -10, 4, n in increasing order. -10, n, 4 Let n = 20 + -22. Sort n, -0.5, -6 in decreasing order. -0.5, n, -6 Let w = 6.3 + -6. Let f = 27 - 27.5. Put 4, f, w in ascending order. f, w, 4 Let v = 62 + -66. Sort -2/5, 1/6, -2/19, v in descending order. 1/6, -2/19, -2/5, v Let r be ((3 - -1) + -1)*(-8)/12. Sort -4, 3, r, -5. -5, -4, r, 3 Let w be 17/12 - (-4)/(-6). Let c = -170 - -173. Sort 5, c, w in increasing order. w, c, 5 Suppose 0 = -3*z + 2*l + 11, -3*l - 2*l - 15 = 5*z. Put -1, 3, z in increasing order. -1, z, 3 Suppose 9*i = 2*i + 35. Sort i, -2, 6 in ascending order. -2, i, 6 Let q = 0.35 - 0.75. Let j = -3.4 - -0.4. Let l = 2.5 + j. Sort -2, q, l in increasing order. -2, l, q Let l(b) = 4*b**2 + b + 1. Let w be l(-1). Suppose 0 = f + 3, -5*f = 4*v + 4 + 11. Put v, -0.2, w in descending order. w, v, -0.2 Let q be (-4)/8 - (-14)/12. Let z = 0.1 - 0.2. Sort z, -2/11, q. -2/11, z, q Let p = 9 - 2. Let l = -5 + p. Put -5, -0.4, l in descending order. l, -0.4, -5 Let a = 0.9 + -0.94. Let n = 0.96 - a. Let i = 0 - -0.1. Sort 2/3, n, i in decreasing order. n, 2/3, i Let n(a) = a + 23. Let o be n(-20). Sort o, -2, -1 in descending order. o, -1, -2 Let y = 37/44 + -12/11. Sort -0.06, y, 1/7. y, -0.06, 1/7 Let p be (-3)/(-12) + 126/8. Suppose -r = 4*g - 4*r - 31, g = -4*r - p. Sort -3, g, -4 in decreasing order. g, -3, -4 Suppose d + 0*h - 21 = -4*h, -3*d - 3*h = -18. Let q = d - 6. Put q, -3, 0 in decreasing order. 0, -3, q Let n = 0 - -5. Let s = -5.2 + n. Sort s, -4, 1/3 in descending order. 1/3, s, -4 Let v = 11.4 - 7.7. Let u = v - 4. Let j = -0.7 - u. Put 0.5, -4, j in descending order. 0.5, j, -4 Suppose -2*g = 4*g + 18. Sort 0, g, 1, -5. -5, g, 0, 1 Let s = -16 + 15.6. Put s, -1/3, 5 in descending order. 5, -1/3, s Suppose -c + 9 = 2*j - 5*j, c - 4*j - 11 = 0. Put -6, -4, c in decreasing order. c, -4, -6 Suppose -s - 2*w = -6, -4*w - 6 + 38 = -3*s. Put s, 5, -2 in decreasing order. 5, -2, s Suppose -5 = -r - 2. Suppose -7 = -2*p + r. Let k = -3 + 2. Put 0, p, k in descending order. p, 0, k Let c be ((-66)/(-14) - 0) + 10/35. Put c, 4, 2 in decreasing order. c, 4, 2 Let b = 12 - -1. Let p = b - 15. Sort 4/7, p, -4 in ascending order. -4, p, 4/7 Let x = 7 - 11. Let t = 0.042 + -6.042. Sort x, t, -1/8 in ascending order. t, x, -1/8 Suppose 20 = 4*m + 2*u, -5*m = -u - 6 - 19. Let v = 0 - m. Put -2, 3, v in ascending order. v, -2, 3 Suppose 0 = -2*i - 4, -5*i - 14 = -4*p - 6*i. Sort -4, 14, p in descending order. 14, p, -4 Suppose -5*p = -2*f - 2*f + 40, -4*p - 31 = -3*f. Let i be (-18)/(-63) + (-38)/(-14). Sort 4, i, p in ascending order. p, i, 4 Suppose -6 = -3*i + 15. Let m(t) = -t + 8. Let f be m(i). Let w(x) = x**3 - 3*x**2 - x + 1. Let h be w(2). Put 0, f, h in descending order. f, 0, h Let n = -58 + 57.6. Let j = -1 - -1. Let a = n + j. Put a, -0.3, -1/3 in decreasing order. -0.3, -1/3, a Let r = 114 + -241/2. Suppose 0*y - y = 0. Sort -0.5, r, y in descending order. y, -0.5, r Let o = -135 + 124.2. Let q = o + 11. Let x = -2 + 2. Put x, 3/2, q in ascending order. x, q, 3/2 Suppose -5*f + 0*y - 6 = -3*y, -5*f + 2*y - 9 = 0. Let r = 13/9 + -61/36. Suppose 5*c + 3*i = 3, 3*c - 4*i - i + 5 = 0. Sort r, c, f in decreasing order. c, r, f Let c = 4/7 - 3/7. Put c, -0.1, -3 in ascending order. -3, -0.1, c Suppose -7*x - 24 = -x. Put -2, 4, x in decreasing order. 4, -2, x Let g be 3 + (2 - (2 - 0)). Let d = 3 - g. Suppose -2*m = 5*r - 8 - 2, 4*m + 10 = 5*r. Sort r, -5, d. -5, d, r Suppose 2*x - 3*r = -7, 0 = -x - 0*x + 3*r - 11. Sort 2, x, -12. -12, 2, x Suppose -5*m = 3*f - 33, 2*f - 6 = -0*f + 2*m. Put 0.2, 0, f in descending order. f, 0.2, 0 Suppose -5*b + 2*j - 5 = 0, -3*b - 22 = -0*j - 5*j. Sort 3, -15, b in increasing order. -15, b, 3 Let o(d) = -2*d + 14. Let h(m) = 3*m - 27. Let s(f) = 3*h(f) + 5*o(f). Let g be s(-14). Put -5, 4, g in descending order. 4, g, -5 Let j be 35/(-15) + 2/6. Sort j, 5, -7 in ascending order. -7, j, 5 Let q = 2 + -3. Sort -2/13, q, -2 in ascending order. -2, q, -2/13 Let c = 177/4 + -44. Put -1/3, -5, c in descending order. c, -1/3, -5 Let a(m) = m**2 + 4*m - 7. Let i be a(-5). Put 1, -1, i, -4 in ascending order. -4, i, -1, 1 Suppose -2*v - 12 = -20. Sort -4, -8, v. -8, -4, v Let j(y) = -y**2 - 2*y. Let t be j(-2). Suppose 2 = -t*v + v. Sort 4, v, -1. -1, v, 4 Let t = 3276/11 + -298. Let l = t - -4/143. Sort -1/12, -2/3, l in descending order. -1/12, l, -2/3 Suppose -4*h = 4*j - 16, -4*j = -6*j + 3*h + 13. Suppose 0 = -0*x + 5*x - z - 371, 0 = 3*x + j*z - 245. Let v be ((-10)/x)/(4/(-5)). Sort 0, v, -1/2. -1/2, 0, v Let i = 35/282 - -2/47. Let j = 31 + -44. Let g = 12 + j. Put g, -3, i in decreasing order. i, g, -3 Let u be -2*(2 + (3 - 4)). Put 5, u, 9 in increasing order. u, 5, 9 Suppose 5*v = -u + v + 25, 5*v = -4*u + 45. Suppose n - u = -1. Put n, -4, -1 in ascending order. -4, -1, n Suppose -5*d = 2*c - 5*c + 26, -4*c + 3*d = -20. Suppose 2*t - 3*g = 5, 2*t + 0*t - c*g = 2. Sort -0.1, -3, t in decreasing order. -0.1, t, -3 Let v be (5 + -1)/(3 - 2). Let t = -4 + 7. Let g = -3 + t. Sort 3, g, v in ascending order. g, 3, v Suppose 2*k + 6 = 4*k. Let t = k + -3. Sort t, -1, -0.2 in decreasing order. t, -0.2, -1 Let n(t) = 3*t + 4. Let w be n(3). Let k = -18 + w. Let r be (-1 - 16/(-10)) + -1. Sort 4, k, r
{ "pile_set_name": "DM Mathematics" }
2 1/2 -15*(-3)/36*-1*(-36)/(-54) -5/6 Evaluate 7*(-16)/(-56)*(-2)/60*3. -1/5 What is (-35*(-9)/(-135))/(-42)? 1/18 Calculate 9/(-3)*155/186*3/30. -1/4 (8100/405)/((-5)/(-3)) 12 Evaluate (-2)/(16/32*2/7). -14 Calculate (-245)/(-105)*56/147. 8/9 Calculate ((-12)/12)/((-7)/2). 2/7 What is ((-320)/(-280))/((-24)/(-126))? 6 (-69)/((-1242)/156)*((-3)/2)/1 -13 Evaluate ((-10)/12)/(840/96). -2/21 What is (((-18)/(-15))/(-3))/((-364)/(-182))*-4? 4/5 (2/(286/13))/((-2)/(-11)) 1/2 What is the value of (27/9)/(-44*39/(-104))? 2/11 What is the value of ((-1)/(-1))/(-2)*157/(6123/780)? -10 What is the value of 6*((-192)/2)/(-32)? 18 What is the value of -14*(-180)/(-864)*2/5? -7/6 ((5010/(-9185))/((-3)/(66/8)))/(-9) -1/6 Calculate ((36/(-9))/(-24))/((-10)/150). -5/2 What is the value of (-45)/36*(-36)/15? 3 What is the value of (-4)/(-76)*2*(132/24)/(-11)? -1/19 Calculate (-40)/(-16)*5016/(-1045). -12 (-2)/(-7)*112/(-128) -1/4 27/(-9)*1*(-140)/(-30) -14 Evaluate 105/14*8/6. 10 What is the value of (2/10)/(38/38)? 1/5 What is ((-6)/(-3))/(44/(-4))*14/7? -4/11 Calculate ((88/(-16))/(-11))/(-2). -1/4 What is the value of (-124)/(-465)*2*(-12)/(-2)? 16/5 Calculate ((-1)/10)/((2020/(-16))/101). 2/25 What is the value of ((-448)/(-21))/((-28)/(-21))? 16 What is the value of (-5390)/(-196)*(-6)/15? -11 Calculate ((-224)/(-21))/(6/9). 16 What is 52*(-15)/195*13/(-4)? 13 Evaluate (21*26/(-195))/(-1). 14/5 What is (-1)/(-3)*((-74)/(-111))/((-2)/3)? -1/3 Evaluate ((-22)/(-6))/(300/(-1800)). -22 What is ((-9)/(-15))/((-37638)/(-14760))? 4/17 What is (3*2/(-10))/((-1170)/234)? 3/25 What is the value of 43/((-9890)/60)*(-1)/(-3)? -2/23 What is ((150/18)/5)/((-11)/66)? -10 What is the value of (11280/940)/((-10)/(-2))? 12/5 What is 2/17*(-13379)/(-1574)? 1 What is (40/28)/(340/6664)? 28 What is the value of ((-4)/4)/(-3*3*3/6)? 2/9 Evaluate (69/276)/(76/(-8)). -1/38 (((-3)/2)/3)/((-10)/4320*-12) -18 ((-36)/150)/(30/200)*5/(-14) 4/7 What is (6/81)/(84/(-18))*2? -2/63 What is the value of 10/(-8)*((-504)/3)/14? 15 What is ((-98)/(35/5))/2? -7 (((-20)/(-12))/5)/(22/18) 3/11 ((-2)/301)/((-179)/1253) 2/43 What is (2*(-1)/15)/(30048/9390)? -1/24 What is the value of (12/(-80))/((3/(-45))/((-2)/(-18)))? 1/4 Calculate 4/(-14)*(-546)/864*-18. -13/4 39/4*1000/375 26 What is 69/(2691/(-104))*150/(-16)? 25 What is the value of (12*(-8)/320)/(14/(-5)*3)? 1/28 Calculate (162/(-108)*(-128)/6)/2. 16 (2/5)/(105*(-26)/(-975)) 1/7 Calculate 19/3116*48/(-6). -2/41 (-30)/(-18)*(-12)/10*7 -14 Calculate (-64)/(-4)*2/(52/13). 8 What is the value of (-2)/(40/(-500)*(-20)/8)? -10 Evaluate 3/30*180/54. 1/3 Calculate 6*((-20)/30)/(22/1). -2/11 Evaluate (-5)/(-15)*0*(-15)/15. 0 What is the value of 374/(-2805)*10/(-8)? 1/6 Evaluate ((-27)/18*34/(-51))/(-1). -1 What is the value of (((-3388)/(-32))/77)/(2/(-16))? -11 (-1044)/406*63/(-27) 6 364/910*-3*1/51*1 -2/85 Evaluate 2/31*((-255)/4080)/((-1)/(-16)). -2/31 Evaluate (153/(-595))/(180/(-105)). 3/20 Evaluate ((-39)/((-507)/52))/((-1)/2). -8 Calculate (2/198)/(15/90). 2/33 What is the value of ((-11)/(-462))/(((-28)/48)/(-7))? 2/7 Calculate 11/((-660)/10)*(-30)/5. 1 Evaluate 360/(-135)*(-36)/(-16). -6 Evaluate (-1210)/847*((-1)/(-1))/5. -2/7 ((-10)/(-9))/((-97)/((-12804)/176)) 5/6 Evaluate 2/((-27)/((-351)/(-416))). -1/16 What is (7*(-16)/56)/(-8)*26*2? 13 Calculate ((-130)/(-18525))/(4/60). 2/19 6/(-16*15/600) -15 What is (8/6*(-207)/(-184))/((-420)/14)? -1/20 Evaluate (-2)/1*(-16)/((-2480)/(-31))*20. 8 Evaluate (3/(-14))/(-15*4/(-70)). -1/4 Evaluate 33/18*(-144)/7524. -2/57 Calculate (-68)/(-357)*-7*(-45)/(-12). -5 What is (-4)/(-12)*3*(-28)/308? -1/11 What is the value of 0/101*(-6)/(-18)*(-2)/2? 0 9/(1350/(-25))*18 -3 What is 432/162*198/(-24)? -22 Evaluate 12*(-3)/((-1)/(-1))*(-5)/(-30). -6 Calculate ((4/42)/1)/(762/7112). 8/9 (8/(-2)*6)/((-2)/((-20)/(-15))) 16 Evaluate (-19)/(-6)*(-648)/540. -19/5 Evaluate (72/80)/((-81)/(-45))*(-2)/(-4). 1/4 What is the value of (1023/(-682))/((-3)/32)? 16 What is ((1312/(-41))/128)/(1/(-16))? 4 Evaluate (-1)/((-1)/((-3)/(9/3))). -1 What is the value of 0*18/6*15/(-45)? 0 (0/2)/(-2)*((-3705)/78)/95 0 What is (4080/(-144))/(-85)*(-18)/16*-1? 3/8 (12*((-312)/(-128))/13)/(441/(-168)) -6/7 ((-36)/(-2))/(2163/(-103)) -6/7 ((30/25)/6)/(5/(100/(-36))) -1/9 (-5)/((-165)/27)*(1408/(-96))/(-44) 3/11 Calculate 2415/(-575)*((-60)/3)/(-4). -21 What is the value of ((-14)/(-12))/(10248/272304)? 31 Evaluate 4/(29/(-87)*12/(-10)). 10 What is ((-6)/609)/(44/((-13860)/(-45)))? -2/29 (((-7)/(-4))/(60/120))/(35/60) 6 1*15*4/420 1/7 (8*-1)/((-660)/(-15)*(-4)/8) 4/11 Evaluate -5*-11*4/(-352). -5/8 59/((-4248)/(-1200))*18/12 25 -7*5*(-29)/1421 5/7 Calculate (496/1488)/(-2*(-1)/30). 5 What is (-12510)/17514*((-2)/(-2))/1? -5/7 What is the value of 2/1*9/(-36)*(-60)/2? 15 What is 3/(-6)*1904/(-56)? 17 What is ((-6018)/(-7021))/(((-9)/5)/(-3)*5)? 2/7 Calculate ((43/43)/(5/2))/(8/(-10)). -1/2 What is (-5)/1*87/(-145)? 3 Calculate (-21)/(-70)*12/18. 1/5 Evaluate 0*((-2)/9)/((-2)/3). 0 What is the value of (((-24)/60)/2)/(23/10)? -2/23 What is (1*(-3)/3)/((4394/52)/13)? -2/13 Evaluate ((-19)/6)/(25/(-150)). 19 What is the value of ((-372)/(-16058)*42/(-9))/(-2)? 2/37 What is the value of (2*-1)/((-38743)/(-731))? -2/53 Calculate ((-6)/(-5))/((-19)/(1235/(-26))). 3 What is the value of 11/((-120)/18*(-3)/4)? 11/5 Evaluate 22/((-176)/60)*12/70. -9/7 What is the value of ((-32)/2)/((-220)/165)? 12 What is the value of (2/(-2))/(10/24)*5? -12 What is the value of ((-51)/4)/((-6)/8*1)? 17 Calculate (8/580)/((-10)/(-50)). 2/29 Calculate 14/35*150/(-165). -4/11 What is 87/4*984/1476*2? 29 Evaluate 3*(-4)/(-10)*(-315)/378*9. -9 What is the value of -2*(-69)/(-897)*(-1)/(-1)? -2/13 Evaluate ((160/10)/(-16))/(1/4). -4 What is the value of (((-6)/8)/3)/(30/(-480))? 4 Calculate 70608/8826*-1*(-2)/(-16). -1 (-11)/((-7)/(147/28)*-3) -11/4 What is 6/(-80)*-10*6/3? 3/2 30/4*-1*(-1)/(5/(-1)) -3/2 Calculate (-6)/(-22)*(-330)/765. -2/17 Evaluate 4/(-39)*-3*9/(-18). -2/13 Evaluate ((-309)/(-18540))/((-3)/(-24)). 2/15 ((-28)/119)/((-7)/238) 8 (-3)/3*3/3*(-24)/(-2) -12 What is the value of -7*(-3)/(-42)*(-44)/2? 11 What is the value of (0/10)/((-52)/(-26))? 0 What is 46/(-23)*3/(-6)*15? 15 Evaluate (79/(178145/82))/(1/(-5)). -2/11 What is (-33)/7865*-22*(-4)/((-24)/(-10))? -2/13 Evaluate 82/3690*-63*(-30)/(-2). -21 What is 900/210*126/(-27)? -20 Evaluate (-20)/11*880/(-160). 10 Calculate (14/(-147))/(14/(-49))*2/(-4). -1/6 (((-9)/12)/(-3))/(679/(-388))*3 -3/7 Evaluate ((-2)/(-4))/(2/((-10)/(-5)*-1)). -1/2 5*4/60*-24*(-3)/60 2/5 What is (-150)/3*(-10)/(-25)*2? -40 What is the value of (-4)/(((-55)/(-132))/((-90)/(-32)))? -27 (-7)/14*51/34 -3/4 -204*70/(-5950)*70/12 14 What is the value of ((-30)/4)/(3395/(-1358))? 3 Evaluate -32*((-784)/(-28))/56. -16 ((-45)/(-75))/((-92)/(-920)) 6 What is the value of (((-16)/42)/(6/14))/(247/(-2223))? 8 Calculate -21*120/(-3220)*-23. -18 ((-192)/272*-34)/((-3)/((-6)/(-4))) -12 Calculate (-4)/((4/40)/((-30)/75)). 16 Calculate (576/63)/(164/287). 16 Calculate ((-14)/(-315))/((13/10)/(-13))*12. -16/3 (28/22)/(2675/11770)*10/4 14 What is -1*(-6)/(-2)*62/(-279)? 2/3 2*(-10)/28*(198/45)/11 -2/7 Evaluate (95/(-10))/((-84)/168). 19 What is the value of (((-45)/(-1950))/(36/48))/(1/5)? 2/13 What is the value of 11*-2*(-2)/4? 11 (105/10)/(-7)*(-168)/(-1932) -3/23 Calculate ((-5)/(-2))/((120/(-1440))/((-2)/170)). 6/17 What is ((-15915)/(-2122))/(1/2*1*-1)? -15 Calculate (20/(-12))/(70/(-210)). 5 What is 301/43*(-4)/28*-3? 3 What is the value of (-18)/126*9*(-2)/9? 2/7 What is 145/(-58)*(-7)/805*2? 1/23 What is the value of 3/(-6)*-2*((-765)/9)/(-5)? 17 (3/3)/((-28)/112*1*10) -2/5 What is the value of (235/470)/(1/(-20))? -10 What is the value of 8/22*(-2)/6*144/(-96)? 2/11 64/(-192)*(-33)/4 11/4 What is the value of (4/(-378))/((-344)/1204)? 1/27 (-1*10/(-18))/((-99)/(891/6)) -5/6 Evaluate (40/50)/(-4)*1. -1/5 What is the value of ((-228)/912)/((-1)/8)? 2 3/(-12)*49/((-294)/(-72)) -3 (-72)/(-300)*(75/6)/(-5) -3/5 What is the value of (-14)/(-5)*70/(-140)? -7/5 What is (-24)/2*3/(-96)*-24? -9 What is (6/(-7))/(128/1792)? -12 Calculate (-364)/(-637)*14/8. 1 What is 2*(-5)/8400*-24? 1/35 Calculate (((-1216)/384)/(3/6))/(4/12). -19 Calc
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from awdvwwvtwatffaa? 4/105 Four letters picked without replacement from meimviiviiehieihe. Give prob of picking 2 h and 2 e. 3/1190 What is prob of picking 1 g and 3 e when four letters picked without replacement from eegeeege? 4/7 Two letters picked without replacement from cmmnxxttxmnxxnmccx. Give prob of picking 1 c and 1 m. 4/51 What is prob of picking 1 c and 3 n when four letters picked without replacement from qqcqnnn? 1/35 Two letters picked without replacement from gafgagafgggfafa. Give prob of picking 2 g. 1/7 Two letters picked without replacement from esssseetseesrtssste. What is prob of picking 2 e? 5/57 Two letters picked without replacement from nznnnnnnzvnv. What is prob of picking 2 v? 1/66 Two letters picked without replacement from tncgvgjgcttgttnjtjng. Give prob of picking 1 v and 1 n. 3/190 Calculate prob of picking 1 d and 3 t when four letters picked without replacement from {u: 1, t: 7, d: 6, c: 3}. 3/34 Three letters picked without replacement from liliil. Give prob of picking 1 i and 2 l. 9/20 Calculate prob of picking 1 c, 1 y, and 1 x when three letters picked without replacement from {y: 1, c: 1, d: 4, m: 8, x: 1}. 1/455 Two letters picked without replacement from ffoccymyfjmcfcf. What is prob of picking 1 f and 1 o? 1/21 Three letters picked without replacement from {h: 8, m: 5, j: 2, w: 4}. Give prob of picking 1 j and 2 m. 20/969 Four letters picked without replacement from qqqhqqqqhqhaqqq. What is prob of picking 1 q and 3 h? 11/1365 Calculate prob of picking 2 d and 1 w when three letters picked without replacement from {u: 2, d: 4, w: 7}. 21/143 Three letters picked without replacement from {n: 1, x: 1, b: 1, o: 2, g: 1, v: 2}. Give prob of picking 1 g and 2 o. 1/56 Calculate prob of picking 1 s, 1 x, and 2 g when four letters picked without replacement from {s: 2, g: 2, x: 1}. 2/5 Three letters picked without replacement from {i: 7, y: 1}. What is prob of picking 3 i? 5/8 What is prob of picking 2 s when two letters picked without replacement from ssqqq? 1/10 What is prob of picking 1 g, 1 e, and 2 d when four letters picked without replacement from {e: 1, d: 2, v: 3, g: 6}? 2/165 Three letters picked without replacement from ddyyqqdodqyddq. What is prob of picking 1 d and 2 y? 9/182 Calculate prob of picking 2 n when two letters picked without replacement from suunsssusnunuunnssuu. 1/19 Two letters picked without replacement from {h: 1, n: 1, o: 2}. Give prob of picking 1 h and 1 o. 1/3 Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {c: 12, h: 1, o: 2, a: 2, j: 2}. 8/57 What is prob of picking 1 m and 3 i when four letters picked without replacement from haahhkihiagamahhiiii? 4/969 What is prob of picking 2 s and 2 q when four letters picked without replacement from ddhqhwks? 0 What is prob of picking 1 k and 2 d when three letters picked without replacement from {k: 1, p: 1, r: 1, d: 2}? 1/10 Four letters picked without replacement from {e: 4, q: 2, b: 2, n: 3}. What is prob of picking 1 n, 1 q, and 2 e? 6/55 Two letters picked without replacement from {h: 1, l: 2}. Give prob of picking 1 l and 1 h. 2/3 Calculate prob of picking 4 i when four letters picked without replacement from {i: 4, j: 1, l: 3}. 1/70 Calculate prob of picking 3 e when three letters picked without replacement from {e: 1, k: 5, f: 4, s: 1, x: 2, b: 7}. 0 Two letters picked without replacement from {d: 4, j: 2, o: 6, a: 3}. Give prob of picking 2 a. 1/35 Calculate prob of picking 2 h and 1 q when three letters picked without replacement from {h: 2, q: 3, r: 3, t: 3, g: 2}. 3/286 Calculate prob of picking 1 f, 1 j, and 2 r when four letters picked without replacement from rfsjrfsrcjjrfjgrfr. 4/51 Calculate prob of picking 2 n and 1 h when three letters picked without replacement from nnhnnnxnnnnnnnnnx. 91/680 Two letters picked without replacement from {v: 1, a: 2, e: 1, u: 3}. Give prob of picking 2 a. 1/21 Four letters picked without replacement from etvsssvvvvtvssvv. What is prob of picking 2 s, 1 e, and 1 t? 1/91 Three letters picked without replacement from {j: 1, n: 1, g: 17}. What is prob of picking 1 j, 1 n, and 1 g? 1/57 What is prob of picking 2 i and 1 u when three letters picked without replacement from udduuuiduuuuuuuiuu? 13/816 What is prob of picking 3 t when three letters picked without replacement from yyyyytyyyyyyyyyytyty? 1/1140 Four letters picked without replacement from {e: 9}. What is prob of picking 4 e? 1 Four letters picked without replacement from {m: 2, c: 3, b: 7}. What is prob of picking 3 c and 1 m? 2/495 Three letters picked without replacement from memfemfm. Give prob of picking 1 m and 2 f. 1/14 Two letters picked without replacement from qzyqqqzqzyqqqqzqzzq. What is prob of picking 2 z? 5/57 Two letters picked without replacement from ykakykknakykln. What is prob of picking 1 a and 1 l? 2/91 Four letters picked without replacement from {h: 5, p: 1, d: 7}. What is prob of picking 3 h and 1 d? 14/143 Calculate prob of picking 1 n and 1 u when two letters picked without replacement from wuwwjwnwnwee. 1/33 Three letters picked without replacement from daedecqceqqddyay. What is prob of picking 1 e, 1 c, and 1 a? 3/140 Three letters picked without replacement from ffrrfffrffrffrrfff. What is prob of picking 3 r? 5/204 Two letters picked without replacement from {c: 1, p: 3, s: 1, r: 5, q: 10}. Give prob of picking 2 r. 1/19 What is prob of picking 2 y when two letters picked without replacement from {o: 5, x: 1, j: 1, r: 11, y: 2}? 1/190 Two letters picked without replacement from {v: 6, h: 1, c: 11}. Give prob of picking 2 c. 55/153 Calculate prob of picking 1 h, 1 x, and 1 o when three letters picked without replacement from {t: 3, x: 4, h: 1, o: 2, v: 4}. 2/91 Four letters picked without replacement from pcccpccccccc. Give prob of picking 2 c and 2 p. 1/11 Four letters picked without replacement from {a: 11, n: 3}. What is prob of picking 1 a and 3 n? 1/91 What is prob of picking 3 r when three letters picked without replacement from {r: 4}? 1 Four letters picked without replacement from memkekkmeezkkme. What is prob of picking 1 m, 1 k, and 2 e? 40/273 Three letters picked without replacement from {i: 1, q: 1, k: 3}. Give prob of picking 1 q and 2 k. 3/10 Two letters picked without replacement from thziwwh. What is prob of picking 1 h and 1 i? 2/21 What is prob of picking 3 i and 1 w when four letters picked without replacement from {i: 8, w: 3}? 28/55 Calculate prob of picking 2 w when two letters picked without replacement from vwvvwvwvww. 2/9 Calculate prob of picking 1 o, 1 p, and 1 v when three letters picked without replacement from {v: 3, q: 3, o: 3, r: 8, p: 1}. 3/272 Calculate prob of picking 1 r and 1 w when two letters picked without replacement from rrrrrrrrrrrrrrxwrrrr. 9/95 Calculate prob of picking 3 x when three letters picked without replacement from {x: 9}. 1 What is prob of picking 2 y when two letters picked without replacement from {l: 1, y: 2}? 1/3 Calculate prob of picking 4 g when four letters picked without replacement from gnnnnngggggn. 1/33 Four letters picked without replacement from {u: 1, c: 6, b: 2, n: 3}. Give prob of picking 1 u, 2 b, and 1 c. 2/165 Two letters picked without replacement from ffzdffpffjppzd. What is prob of picking 1 d and 1 z? 4/91 Three letters picked without replacement from yyyyygggyyggy. What is prob of picking 2 g and 1 y? 40/143 Two letters picked without replacement from {u: 9, w: 1, e: 5, f: 1}. What is prob of picking 1 w and 1 e? 1/24 Calculate prob of picking 1 q, 2 v, and 1 y when four letters picked without replacement from {y: 3, v: 2, e: 1, q: 1}. 3/35 Calculate prob of picking 1 p and 1 f when two letters picked without replacement from mpfrm. 1/10 Calculate prob of picking 3 e and 1 c when four letters picked without replacement from efcnfcfccfc. 0 Two letters picked without replacement from eretereltwettetltt. Give prob of picking 1 r and 1 w. 2/153 Calculate prob of picking 2 b when two letters picked without replacement from bzzzzpbdzzzbzpzpzp. 1/51 Calculate prob of picking 1 o and 1 q when two letters picked without replacement from ddqqoqdddoqdq. 5/39 What
{ "pile_set_name": "DM Mathematics" }
m 174 and -233766077. -233765903 70779 - -216541 287320 -7175 - 0.05824 -7175.05824 What is the distance between 25 and -17233? 17258 Total of -313.11 and -160. -473.11 What is -15800283 take away -245? -15800038 Work out -5834 - -0.4143. -5833.5857 Add -244.2 and -27.73. -271.93 What is 0.621339 - -7.1? 7.721339 94.1 - -0.141474 94.241474 -2.2+-6578216 -6578218.2 What is 38 minus 801317.657? -801279.657 Total of -0.05 and -45846663. -45846663.05 -181+-47269108 -47269289 Subtract 150 from -3045065. -3045215 What is -9211 - -313? -8898 What is 0 minus 15719182632? -15719182632 What is -480.5 plus -115160? -115640.5 Subtract 707967 from -634. -708601 What is -7942 + -2647087? -2655029 Calculate -1 - -60684.838. 60683.838 Calculate 10.89 + 0.7017. 11.5917 What is 1 less than -198082718? -198082719 Put together 33.084 and -43.489. -10.405 What is -0.18 less than -51.205? -51.025 What is 3044374 + -121.1? 3044252.9 -0.08386+27886 27885.91614 Sum 20892 and 13.26. 20905.26 -1579+24601718 24600139 What is 0.0518 + -89.465? -89.4132 What is the difference between -8.26 and -0.139891? 8.120109 Sum 0.01 and 2878.9667. 2878.9767 Add 1136.026 and 13.3. 1149.326 3082 + -1363619 -1360537 What is the difference between -1436644 and -28? 1436616 Work out 0.2 + -15698071. -15698070.8 Add together 2.767484 and 0.12. 2.887484 What is 4.128853 - 28? -23.871147 Calculate 27237147 + 7. 27237154 Subtract -6988717 from 9. 6988726 Sum -1591.2675 and 930. -661.2675 What is -0.1 plus -139.986005? -140.086005 188.86896302 - -5 193.86896302 What is -445415 - 0.09944? -445415.09944 Sum 2120 and -538. 1582 Subtract -1 from -31274925.94. -31274924.94 What is 2048407523 minus -2? 2048407525 358333080 - -7 358333087 What is the distance between 1843 and 1.231307? 1841.768693 Put together -103286 and 137628. 34342 Sum 5262 and 4.311. 5266.311 What is -384288.07 take away 70? -384358.07 What is the difference between 2016931.9 and 1.215? 2016930.685 Add 12.35 and 2130.4. 2142.75 Sum -34016988.4 and -0.5. -34016988.9 Put together 139526666.47 and 0.4. 139526666.87 What is -49.6 - 12736688? -12736737.6 What is the distance between 0.0326 and 26690660? 26690659.9674 Put together -24829772 and 208. -24829564 Work out -9871 + 10131285. 10121414 What is 695.8 plus -0.11? 695.69 Subtract 1138.041506 from -6. -1144.041506 0.1 + 770.3591 770.4591 What is -304 take away -11.6132? -292.3868 What is -1 less than -789569909? -789569908 Calculate 1 - -466165704. 466165705 What is the difference between 110012 and 0.72? 110011.28 What is 198089179 + -4? 198089175 What is 0.185 less than 943.592? 943.407 Work out -360419 - 8.35. -360427.35 Add -25352585 and 98. -25352487 What is the distance between -5 and 184006147? 184006152 Subtract -3 from 9106286. 9106289 Sum -12557353 and 29. -12557324 Put together -90386003 and -0.2. -90386003.2 Sum -8270483 and 4. -8270479 What is 3 less than -20.69402? -23.69402 What is 254215751 less than 17? -254215734 What is -4918 minus 706? -5624 What is 3.88538004 take away -4? 7.88538004 Calculate 16 - 256552600. -256552584 What is -0.03 take away 1553.663? -1553.693 What is 2.2 take away -65.7152? 67.9152 Calculate 89.057906 - 9. 80.057906 Calculate 0.2215 + -174771.8. -174771.5785 What is -0.235466766 plus 0? -0.235466766 Work out -0.11088 + -6.353. -6.46388 Calculate 12 - -42779. 42791 0.868333+-0.3 0.568333 Add together -0.04175642654 and -5. -5.04175642654 Sum 20 and 917.833. 937.833 Work out -6993675 + 8. -6993667 Work out -48.62956 - 0.3. -48.92956 Put together 1665.93 and 61.77. 1727.7 Put together -2 and 1917609335. 1917609333 Subtract 0.85 from -5294326. -5294326.85 Calculate -5.10264377 - 4. -9.10264377 -7026451+-8 -7026459 Work out -242771409 - -0.4. -242771408.6 Work out -0.2 + 34.31633. 34.11633 Calculate 7 + 2737603. 2737610 What is 7.4 + 15150? 15157.4 Sum -0.03961 and 2.56. 2.52039 Calculate 0.029487911 + 0.075. 0.104487911 Sum 24870 and 4574. 29444 Put together 0.303 and -6.1862788. -5.8832788 Work out 9070.5238 - 2. 9068.5238 What is the distance between 139344298 and 3? 139344295 What is 98 less than 44318? 44220 What is -334188 take away 0.63374? -334188.63374 Calculate 2 + 211.90821. 213.90821 Total of 32.116 and 38.58. 70.696 Work out -12 + -51.796288. -63.796288 What is 5490694 - 3.8? 5490690.2 Put together 1925926 and 0.4. 1925926.4 Work out 63 + 712840. 712903 What is 41 + 22091049? 22091090 What is -1299.063 take away 0.2? -1299.263 Put together -0.0664 and 4.6449154. 4.5785154 What is the difference between 81279 and -0.029? 81279.029 Calculate 123 - -602.104. 725.104 Calculate 36 - 128815. -128779 Sum 26819121 and -1633. 26817488 1.488594+-0.43 1.058594 What is -0.7228802 less than -0.1? 0.6228802 Total of 0.02 and -4365350. -4365349.98 Calculate -6392 - -0.457566. -6391.542434 What is -71.572854 + 0.0103? -71.562554 -700 + -0.10523 -700.10523 What is 2899 plus -146599? -143700 Calculate -5.88728 - 0.4. -6.28728 Total of -0.12268143 and 32. 31.87731857 What is 228718584.6 - -0.05? 228718584.65 What is 4172789 take away 273? 4172516 What is 169 plus 261198.9? 261367.9 Add together 1.8491381 and 0.3. 2.1491381 What is the difference between -1805.846 and 414? 2219.846 What is -40946719 less than 699? 40947418 What is -26 minus -97208.401? 97182.401 Add 0.0276 and 193833. 193833.0276 What is 7.0858 minus 90.8? -83.7142 Calculate -626330.141 - -0.065. -626330.076 What is -29 minus -154620? 154591 What is 3 + 48.28882277? 51.28882277 What is -3241.3 less than -1556? 1685.3 Put together 198361 and -475. 197886 What is -67.684 minus 19854? -19921.684 Add -425.846 and -2256. -2681.846 Total of 16468464084 and 1. 16468464085 Subtract -9116 from 0.1321. 9116.1321 Calculate 4418.2142 - -0.456. 4418.6702 Calculate -14009 - -18730. 4721 Calculate 0 + 0.001419233. 0.001419233 What is 2.7 + -1249627? -1249624.3 Calculate -86635566 + 4. -86635562 Add together -3486885 and -608. -3487493 Total of -14.285246 and -0.05. -14.335246 Add together -2461333 and -0.11. -2461333.11 Total of -77465034 and -509. -77465543 Add 277 and 34599. 34876 Put together 2059597.29 and 0.2. 2059597.49 Calculate 0.072 - 41.8888. -41.8168 Calculate 736 - 884407. -883671 Subtract 3944.6222 from 2.9. -3941.7222 What is the distance between 68142 and 2? 68140 Add together 31 and 9363003. 9363034 Add -3 and 774042.87. 774039.87 What is 102.463 + 1.49? 103.953 What is 577 take away 4333.73? -3756.73 What is 0.24307 minus -61217? 61217.24307 What is the distance between -1.594303 and 2561? 2562.594303 -0.4+2689.261 2688.861 Subtract -445541 from -0.0791. 445540.9209 0.1+-91697605.3 -91697605.2 Sum -0.45223459 and -0.2. -0.65223459 What is the difference between 9.40217 and 0.13? 9.27217 What is 0.13 plus -25701? -25700.87 What is -0.54218 + 3.4? 2.85782 Calculate -9.2 + 260345. 260335.8 Work out 2.279848 - 0.17. 2.109848 What is the distance between 0.3 and 4860405? 4860404.7 What is the difference between 7.0357944 and 0.19? 6.8457944 What is -1.093 minus 39165931? -39165932.093 Calculate 92447292.17 - -0.2. 92447292.37 -680513079+4 -680513075 0.1 + 7536876.41 7536876.51 What is 6.6 less than -29.450974? -36.050974 Add together -133750 and -807.99. -134557.99 Add 137659201 and -0.17. 137659200.83 What is -408 + -1.54577? -409.54577 Work out 0.225661 + -10079. -10078.774339 What is -0.05 - 115077611? -115077611.05 What is 0.11 - 1.2069137? -1.0969137 Put together 1793.1 and -10598. -8804.9 Put together 13901237 and -0.181. 13901236.819 Calculate 1281863 - -316. 1282179 What is the difference between 57922206070 and 1? 57922206069 What is 137723723 + -0.5? 137723722.5 775167 + -0.01 775166.99 2.03 - 19751.6 -19749.57 Add together 13317493 and -6.6. 13317486.4 Work out -17 - -105.659. 88.659 1025930 - 0.06 1025929.94 What is the distance between -157 and -18305.9? 18148.9 Calculate -7.99 - -7183841. 7183833.01 Work out 0 + -25465856. -25465856 -48 - 15.07909 -63.07909 What is -10022 + -101170? -111192 What is the distance between -0.0179 and 7920? 7920.0179 What is 15.6 take away 5760.24? -5744.64 What is the distance between -44069.2 and -29.6? 44039.6 What is -29 less than 215721? 215750 Calculate -6660.91 - 0. -6660.91 What is the distance between 11.5707 and 0.042022? 11.528
{ "pile_set_name": "DM Mathematics" }
easing order. c, h, s Let q = -0.08 - -0.05. Let d = -0.24 + 0.31. Let m = d - q. Put 1/6, m, -3 in ascending order. -3, m, 1/6 Let u = -2 + 5. Suppose -u = o + 1. Let m be 30/(-4)*22/33. Sort o, 5, m in decreasing order. 5, o, m Suppose 19*t - 14*t + 15 = 0. Sort -5, t, 1 in descending order. 1, t, -5 Let k(m) = m**3 + 13*m**2 - m - 8. Let g be k(-13). Sort -1, g, 0, 2 in increasing order. -1, 0, 2, g Let n = -77/15 - -5. Let h = 0.1 + 0.1. Sort 2/17, h, n in ascending order. n, 2/17, h Let v = 25 + -20. Suppose -9 - 3 = -4*f. Sort f, -1, v in descending order. v, f, -1 Let d be 63/15 - (-1)/(-5). Suppose d*x = 16, -3*v - 18 = -0*x - 3*x. Let u = 0 - v. Sort u, 3, -4 in decreasing order. 3, u, -4 Let w(u) = u**2 - 4. Let c be w(-3). Suppose g = c*g. Let o = g - -1. Put o, -1, -5 in decreasing order. o, -1, -5 Let h(p) = -p**2 + 3*p - 4. Let v be h(5). Put -2, 5, v in increasing order. v, -2, 5 Suppose -2*j = y - 9, 4*y + 8*j - 27 = 3*j. Put 0, y, -3 in descending order. y, 0, -3 Let g(r) = -r**3 - 4*r**2 - 4*r - 2. Let d be g(-3). Suppose 0 = -2*z - 5 + d. Sort 0.2, z, -3/2 in ascending order. z, -3/2, 0.2 Let f = 0.39 - 1.39. Sort 1, 0, 4, f in increasing order. f, 0, 1, 4 Let h(t) = t**3 + 12*t**2 - 15*t - 30. Let i be h(-13). Let y = -31 - -21. Let r = -6 - y. Put i, r, -1 in descending order. r, -1, i Let o = -16.91 - 1.39. Let z = 18 + o. Let r = -1/10 + -7/5. Sort r, z, 3 in decreasing order. 3, z, r Let n be -1*(0 + 12/(-3)). Put 1, 5, 3, n in descending order. 5, n, 3, 1 Let d = -110 - -110. Sort -5, 5, -9, d. -9, -5, d, 5 Let j = 0.21 - 8.21. Let c = j + 3. Sort 0.2, c, -4 in descending order. 0.2, -4, c Let p = 18.11 + -18. Let y = p + 0.09. Sort 5, y, -1/4. -1/4, y, 5 Let z(l) = -l**2 - 5*l - 3. Let m be z(-2). Suppose -4*w - h - 12 = 2*h, m*w + 38 = 5*h. Let i be (-4)/14 - (-4)/(-14). Sort w, -2/7, i in descending order. -2/7, i, w Let k be 1/((-1)/(-13))*-1. Let a = k + 13. Put a, -4, -0.4 in increasing order. -4, -0.4, a Let n(w) = w - 10. Let j be n(8). Sort 3, j, 5 in descending order. 5, 3, j Suppose 0 = -3*a + 1 + 2. Let q = a + -2. Let u(b) = -b**2 - 7*b - 1. Let c be u(-6). Put c, q, 1 in ascending order. q, 1, c Suppose 3*w - x + 7 = 24, -3*x - 26 = -4*w. Put w, 1, -5 in increasing order. -5, 1, w Suppose 0 = 6*j + 19 - 1. Put -0.3, j, 1/2 in descending order. 1/2, -0.3, j Let x = 10 + -10.03. Let w = 5.03 + x. Put w, 2/9, -2/5 in descending order. w, 2/9, -2/5 Let r = -13 - -15. Let l = 0 - -1. Put -2, l, r in increasing order. -2, l, r Let r = -2 + 2. Sort 0.1, r, 7. r, 0.1, 7 Let x(f) = f**2 - 2*f. Suppose -j + 5*j = 8. Let v be 1 - 1 - (-4 + j). Let a be x(v). Sort -3, a, 2 in descending order. 2, a, -3 Suppose 0 = 20*q + 260 - 20. Sort -5, -0.2, q in descending order. -0.2, -5, q Let q = 1 + -1. Suppose q = 2*t + 8 - 0. Let u(g) = -g**3 - 7*g**2 - 8*g - 8. Let a be u(-6). Sort t, a, 0. t, 0, a Let v = 15 + -9. Let g = 5.9 - v. Put -3, 5, g in ascending order. -3, g, 5 Let m be (-1)/(-4) - 13/4. Let n be 0 - m/((-3)/5). Let r = -1514/9 + 168. Sort r, -0.2, n. n, r, -0.2 Let o = 4 + -6. Let p be o + (-3 - 275/(-56)). Let d = -11/56 + p. Sort d, -3, 1/3. -3, d, 1/3 Let c = -0.8 + -2.5. Let k = c - -4. Put k, 3/7, 1/3 in increasing order. 1/3, 3/7, k Let z be 3*(-12)/(-18)*(-3)/(-3). Let i(b) = b - 2. Let d be i(4). Suppose 0 = -d*s - z*s + 16. Put s, -5, -4 in decreasing order. s, -4, -5 Let t = -2 + 1. Suppose 2*q + 54 = 11*q. Put q, -2/7, t in descending order. q, -2/7, t Let c be 0/(-1 + 3/(-3)). Let i(s) = 2*s - 3. Let g be i(2). Sort c, -4, g. -4, c, g Suppose 5*v + 41 = 4*y, -2*y - 6 = -y + 2*v. Suppose 4 = 2*g - 5*a, 2*a + a + y = 2*g. Suppose 2*b - 4 = 6. Put g, -3, b in descending order. b, g, -3 Let g(m) = 2*m**2 - 41*m + 25. Let d be g(20). Put d, 2/3, 1, 0.3 in ascending order. 0.3, 2/3, 1, d Suppose -12 = -6*r + 3*r. Suppose -6 = 3*s + r*a, a = 2*a. Let n be (-1 + 4/3)*3. Put n, 3, s in increasing order. s, n, 3 Let j = 14 - 14.4. Put 5, 4, j in ascending order. j, 4, 5 Let z = -15 + 16.4. Let r = -1 + z. Let p = 5 - 5. Put p, r, -5 in descending order. r, p, -5 Let k be 6/(-4)*2/(-30). Let p = k + -3/10. Let t = 6 - 1. Put t, 3, p in descending order. t, 3, p Let o = -33/5 + 302/45. Put 0.4, o, 2.1, 0 in ascending order. 0, o, 0.4, 2.1 Let p = 0.2 - -0.1. Let l = -4.843 - 0.057. Let c = l - -0.9. Sort c, p, 1 in decreasing order. 1, p, c Suppose 2*h + 3 = -3. Let o(r) = -4*r - 10. Let f be o(-3). Sort h, f, -2. h, -2, f Let p = -14.2 + 14. Sort 0.12, p, -4. -4, p, 0.12 Suppose -24 = -s - 5*w - 11, 25 = 5*s + 5*w. Sort s, -5, -19 in descending order. s, -5, -19 Let u(y) = -5*y**2 - y - 1. Let f be u(-1). Put -4, -3, f in increasing order. f, -4, -3 Let b(q) = q**2 - 7*q - 3. Let v be b(8). Put -2, -4, 4, v in increasing order. -4, -2, 4, v Let f be (-16802)/(-130) - 10/(-65). Let r = f - 129. Sort r, -5, -3/7 in increasing order. -5, -3/7, r Let i(g) be the second derivative of g**4/12 + 7*g**3/6 - 2*g**2 - 3*g. Let n be i(-7). Put 1, n, -3 in ascending order. n, -3, 1 Let n be ((-2)/6)/(8/12). Let o = -127 + 124. Let f = 2/7 + -4/7. Sort f, o, n in ascending order. o, n, f Let c = -1.2 + 0.2. Let g be ((-88)/(-55))/((-4)/(-10)). Suppose g*z = 5*v - 8, z + 2*v = 5*z - 4. Sort c, -1/3, z in descending order. z, -1/3, c Let i = -1.4 + -0.1. Let s = i - -6.5. Put -3/2, s, 2 in descending order. s, 2, -3/2 Let q(r) = 2*r**2 + 6*r + 2. Let s be q(-4). Let l = -6 + s. Let g = 116 - 1161/10. Put g, -6/11, l in ascending order. -6/11, g, l Suppose -5*n + 5*d - 10 = -0*d, 6 = -3*n - d. Sort 2, n, 3 in descending order. 3, 2, n Let u be 11/9 - 9/((-324)/(-8)). Sort u, -4, -10 in descending order. u, -4, -10 Let s = -75 + 72. Suppose l + 0 + 2 = 0. Sort 2, s, l in descending order. 2, l, s Let x = -84 - -71. Put -2, x, 1 in decreasing order. 1, -2, x Let m = 0.09 - -0.01. Sort -5, -3, m in decreasing order. m, -3, -5 Let k be (-4)/14 - 288/(-420). Let n = 169 - 173.08. Let w = -0.08 - n. Sort w, k, -0.5. -0.5, k, w Let n be -1 - (0 + (0 - -1)). Let m = -43 + 48. Sort n, m, 0. n, 0, m Let l(b) be the third derivative of -b**5/60 - 5*b**4/12 - 2*b**3/3 + b**2. Let r be l(-9). Sort 3, 4, r in increasing order. 3, 4, r Suppose 0 = -i - i + 2. Let p = 568/3 - 189. Sort p, i, 4 in decreasing order. 4, i, p Suppose 4*n + 15 = -0*n + 3*g, 2*n - 4*g + 10 = 0. Sort -2/17, n, 26 in decreasing order. 26, -2/17, n Let z = -3 - -6. Suppose 10 = s - z*d + d, 0 = 3*s - 5*d - 26. Let c be (-6 + s)*(-2)/(-20). Put c, 2, -0.1 in ascending order. c, -0.1, 2 Let x = -4.7 - -0.7. Let s = -4.87 + -0.13. Sort x, 0.5, s in decreasing order. 0.5, x, s Let i be (-1 - 1)/((-1)/3). Let b be (-12)/(-8) - i/(-4). Suppose 2*w + 6*r + 5 = 5*r, w + 4*r = 8. Put w, 4, b in descending order. 4, b, w Let j = 8 + 1. Let q = j - 4. Let v = -7 - -7.5. Sort v, q, 0. 0, v, q Let h = -30 + 21. Let p = -11 - h. Sort p, 4, 5 in descending order. 5, 4, p Let c = -11 - -11. Suppose -5*f + 3 = d - 5*d, 3*d - 3*f = c. Sort d, -4/7, -1/5 in decreasing order. d, -1/5, -4/7 Let k be 9/3 + -3 - 3. Let m(y) = 2*y - 3. Let f be m(5). Let b(j) = j**3 - 8*j**2 + 7*j + 3. Let l be b(f). Sort l, k, 2 in ascending order. k, 2, l Suppose -3*l - 36 = -30. Put l, 2, 0.5, 4 in descending order. 4, 2, 0.5, l Let u = -11 - -6. Suppose -69*s = -74*s + 15. Put u, s, -3 in descending order. s, -3, u Let c be (-3 + 1)/((-1)/2). Let l = 6 - 9. Let x(q) = -q**3 + 6*q**2 - 6*q + 3. Let g be x(5). Sort c, g, l in descending order. c, g, l Let r = -6 + 1. Let n = -6.1 + 1.1. Let i = 3 + n. Put r, i, -0.5 in ascending order. r, i, -0.5 Let v = -54 - -109/2. Put 0, -2, -1/2, v in decreasing order. v, 0, -1/2, -2 Let f(a) = a**2 + 7*a + 4. Let u be f(-6). Let y = 4 - 2. Suppose -20 = -7*w + y*w. Sort w, u, -3 in decreasing order. w, u, -3 Suppose -4*g = g + 20. Let t be 2/g - (-25)/(-30). Sort 5, t, -0.3 in decreasing order. 5, -0.3, t Let f(a) = a**2 - 4*a - 8. Let c be f(6). Suppose -5*r - 38 = 32. Let t(v) = v + 9. Let n be t(r). Put c, 3, n in decreasing order. c, 3, n Suppose 0 = -4*l + 3*m + 18, 0*l - m = 2*l - 4. Sort -4, l, -2. -4, -2, l Let b = -4 - -1. Let v be (14 - 14)/(1 - 3). Let g = -1 - 0. Put v, b, g in decreasing order. v, g, b Let k = -1 + 4. Suppose 3*w = 5*z - 32, 4*z
{ "pile_set_name": "DM Mathematics" }
rt 3, v, -3 in decreasing order. 3, -3, v Let j(h) = -h**3 + 5*h**2 - 4*h - 1. Let x be j(3). Suppose 3*o - 4*p + 2 = 0, 3*o + 0*o - 5*p + 4 = 0. Sort o, -1, x. -1, o, x Suppose 0 = -5*v - 7 - 8. Suppose 0*j + 4*j - 72 = 0. Suppose 0 = 4*u + j - 2. Sort u, v, 5. u, v, 5 Suppose y - l - 9 = 0, 4*y - 5 - 40 = -5*l. Let p = y + -5. Put 3, p, 1 in decreasing order. p, 3, 1 Suppose 0 = -2*q + 16 - 2. Sort q, -4, 1. -4, 1, q Let l be 1 + 1 + (-220)/16. Let v = l - -12. Let x = 0.01 - -1.99. Sort v, 0.1, x. 0.1, v, x Let i be (-10)/85*-2*3/6. Let u = -7.13 + 0.13. Put u, i, 5 in ascending order. u, i, 5 Let f = -1 + 2. Let k = 233/4 - 58. Sort f, k, 0. 0, k, f Let r = -7 - -3. Put -3, -2, r in decreasing order. -2, -3, r Let q = 0.3 - 0.8. Suppose -o + 12 = 7. Sort o, -4, q in ascending order. -4, q, o Let s = 5 + -5.5. Let d = s + 0.9. Sort 5/4, -4/7, d. -4/7, d, 5/4 Let n = 22 + -21.5. Put -2/33, n, -4 in ascending order. -4, -2/33, n Let h = -7 - -1. Let x be (-1)/(-6) + (-17)/h. Put -20, 5, x in increasing order. -20, x, 5 Suppose -3*y = -4*v + 28, -5*y + 9 = -4*v + 45. Let f = -2 - y. Let u be (3 - f - 0)*4. Put -2, u, 3 in decreasing order. u, 3, -2 Let t(i) = -3*i**2 + 15*i + 3. Let s be t(5). Put 4, s, 0 in ascending order. 0, s, 4 Suppose 3*n - f = 4*f + 6, -3*f + 10 = 5*n. Suppose -2*u - 3*u + 20 = 0. Suppose -u*g - 8 = -2*g. Sort -5, n, g in descending order. n, g, -5 Suppose 0 = 5*u - 2*g + 18, 0 = -0*u - 4*u - 3*g - 19. Sort u, -3, 3 in ascending order. u, -3, 3 Let q = -51 + 47. Put -2/11, q, 0.4, 5/2 in descending order. 5/2, 0.4, -2/11, q Suppose 20*h + 3 = 17*h. Let l be 1 + 0 + h + 1. Put l, -1, 4 in ascending order. -1, l, 4 Let l = -15 + -7. Let f = -20 - l. Put -1/4, -2/3, f in ascending order. -2/3, -1/4, f Let d = -15 - -14.84. Let k = d + 0.26. Sort -3/7, 5, k in increasing order. -3/7, k, 5 Let s(h) = -h - 2. Let a be s(-2). Let v be 28/(-10) - (-7 + 252/35). Put 3, a, v in increasing order. v, a, 3 Let u(z) = -z. Let b be u(5). Sort 5, b, 1. b, 1, 5 Suppose -6 = 5*w + 9. Let h(n) = n**3 + 4*n**2 - 6*n - 6. Let j be h(-5). Let t be j + 4 - -2*1. Sort t, w, 4. w, 4, t Let l be -2 - -1*3/1. Put -3, l, 0 in ascending order. -3, 0, l Let a be (-5)/1*(-2 - -1). Suppose -a*o = 4*y + 23, -8 = y + o - 3. Put 5, y, 0 in descending order. 5, 0, y Let s = 0.1 - -1.9. Let y = s - -1. Let g = -0.4 + 0.2. Put y, 1/2, g in descending order. y, 1/2, g Suppose -4*o + 20 = 5*d - 4*d, d = -5*o + 20. Let q be (-8)/d + 24/10. Let u = 2 - 3. Put u, -5, q in decreasing order. q, u, -5 Let y = 1.14 - 0.04. Let o = -2.9 - y. Let h = 1355/8 - 169. Sort 1, o, h. o, h, 1 Let f = 62/441 + 4/49. Let v = 1.59 - 1.5. Let l = v + 2.91. Sort l, f, -5. -5, f, l Let d be 4/14 + (-24)/(-14). Let l = d - 3. Let u = -3 + -1. Sort -2, u, l in ascending order. u, -2, l Let n be (-150)/(-14) + 2/7. Let t(w) = w**3 - 11*w**2 + 3. Let o be t(n). Sort o, -2, -3 in descending order. o, -2, -3 Let z be ((-3)/2)/(3/4). Let u(r) = 2*r + 5. Let g be u(-5). Let l = -5 - g. Put l, z, 3 in decreasing order. 3, l, z Let t = -7 - -4. Let r be 0 - (-4)/(-2) - t. Let y be 1*(-2 + 11/6). Sort r, 3, y in descending order. 3, r, y Let k = 16 - 21. Sort 1, k, 5, 2 in increasing order. k, 1, 2, 5 Let f = -123/148 + 3/37. Put f, -1, 0, 4 in decreasing order. 4, 0, f, -1 Let h = -29 + 31. Put -6, -1/4, h in decreasing order. h, -1/4, -6 Let a = -3.7 + 3.7. Sort -2/5, a, -0.9. -0.9, -2/5, a Suppose 3*v - 4*f - 14 = -0, -31 = -5*v - f. Let y(w) = 4*w**2 + w**3 - v*w - 2 - 14*w**2 - 2 + 15*w. Let r be y(9). Put r, 1, 4 in descending order. 4, 1, r Let b be (-5 - -3) + 5 + -4. Sort -2, 1, b in descending order. 1, b, -2 Let f = 0.06 + -0.04. Let v = -5.02 + f. Sort v, -1/3, -3 in increasing order. v, -3, -1/3 Let z = 80 + -81. Sort -24, z, -2, 5 in descending order. 5, z, -2, -24 Let q(a) = -a**2 + 24*a - 44. Let h be q(22). Sort -1, h, 0.1 in descending order. 0.1, h, -1 Let p = 5 - 7. Let j = p + 1. Let i be 1 + -1 + 4/(-6). Sort i, 2/5, j in decreasing order. 2/5, i, j Let o = 3 - 8. Let u(r) = -11*r - 20. Let c be u(-2). Sort o, c, 4. o, c, 4 Suppose 11 = 2*g + 1, 4*m - 4 = -4*g. Let f(t) = t - 2. Let x be f(3). Sort x, m, 0 in decreasing order. x, 0, m Suppose 0 = f - 2*f + 3. Suppose -9 = -f*y, 0*i = -2*i - 3*y + 11. Let o be 1/13*(i + 1). Sort o, -4, 0.1 in increasing order. -4, 0.1, o Let l(i) = 4*i**3 + i + i**2 - i**2. Let s be l(-1). Let r = 12 + -7. Sort s, 2, r. s, 2, r Suppose 0 = -2*t - 4*z - 10, 3*z + 6 = -6. Sort -1, t, 2 in decreasing order. t, 2, -1 Let b = 565/10241 + -3/209. Let m(n) = 2*n**3 + 8*n**2 - 5*n - 1. Let a be m(1). Put b, a, -5/4 in ascending order. -5/4, b, a Let h be 0 + -1 + 1/3. Let r = -0.8 - -0.86. Let w = -0.44 - r. Put -0.2, w, h in increasing order. h, w, -0.2 Suppose -4*g + 3*g - y = 4, -4*y = -4*g + 16. Put g, -5, 5 in increasing order. -5, g, 5 Let n = 3 + -4. Let b(g) = -g**3 - 8*g**2 + 9*g + 4. Let d be b(-9). Put 2, n, d in increasing order. n, 2, d Let a(v) = v**2 + 2*v - 3. Let z be a(2). Let q = 6 + -3. Let n be (-2 + (-16)/(-12))*6. Sort z, q, n in ascending order. n, q, z Suppose -h + 10 = -0*h. Let m be (-9)/15 - (-36)/h. Put m, -4, -1 in decreasing order. m, -1, -4 Let i(z) = z**2 - 6*z + 10. Let s be i(5). Put -1, s, -3 in decreasing order. s, -1, -3 Let c = 4 + -9. Suppose -4*a + 5 = a. Let k be (-1 + 0)*(1 - 1). Put k, c, a in decreasing order. a, k, c Let u = 58951/64 + -17379297/18880. Let o = 1/236 + u. Let j = 36/13 - 249/104. Sort -2, o, j in descending order. o, j, -2 Let r = 2.9 - 4. Let h = r + 0.9. Sort h, 0, -2 in descending order. 0, h, -2 Suppose 2*f - 1 = -r, -3*f + 5*r = 2*r - 6. Let i = 0.02 + -2.02. Let j = -6.4 - -6. Sort i, f, j. i, j, f Let r(w) = w**3 + 8*w**2 + 8*w + 8. Let a be r(-7). Put -2, a, -4, -1 in increasing order. -4, -2, -1, a Let h = 1 - 2. Let d = 32.34 - 32. Let z = 0.04 - d. Sort 0, z, h. h, z, 0 Let r = -0.12 + -0.08. Let q(h) = -h**3 + 4*h**2. Let s be q(4). Sort s, 5, r. r, s, 5 Let x(m) = m**2 + 9*m - 14. Let k be x(-10). Put k, 0.5, 5/2 in ascending order. k, 0.5, 5/2 Let k = -3 + 2.5. Let u = 6.2 + -11.2. Sort k, -0.1, u in increasing order. u, k, -0.1 Let i = -3 + -2. Let u be (-1)/3 - 8/(-6). Put i, -4, u in ascending order. i, -4, u Suppose 3*u - 4*m - 4 = -1, 4*u + 2*m = 26. Let d be ((-3)/2)/(1/(-2)). Sort u, d, -4 in increasing order. -4, d, u Let t = -0.03 + -1.97. Let l = 1.14 + -0.04. Let o = -0.8 + l. Put t, -2/7, o in descending order. o, -2/7, t Let d be 2/(-5) + (-54)/(-10). Suppose 3 = -l, 15 = r - 3*r + l. Let k be -6*(12/r - -2). Sort 2, k, d in increasing order. k, 2, d Let f = 0 - -2. Let o = 4 - f. Let n = -24 + 25. Sort o, 5, n. n, o, 5 Let x = 3 - 6. Let a be (-14)/35*(6 + 4). Put 0, a, x in increasing order. a, x, 0 Let v be 1/(-2)*(-4)/(-2). Put -3, -4, 5, v in decreasing order. 5, v, -3, -4 Suppose u - 8 = -4*r + 5*u, 0 = 5*r - 3*u - 12. Suppose -3*q + 41 + 1 = -r*j, -3*q = j - 6. Let x be 4/(-6) + 30/j. Put 0, -5, x in ascending order. -5, x, 0 Let b = 0.85 - 1.15. Sort -0.02, b, -1 in ascending order. -1, b, -0.02 Let a = 0.063 - -2.937. Put a, -2, 0, 2/7 in increasing order. -2, 0, 2/7, a Suppose 0 = -3*s + s. Let b(q) = q - 3. Let a be b(s). Suppose 2*o - 1 + 9 = 0. Sort 5, o, a in decreasing order. 5, a, o Suppose 3*w = -0*w - 12. Suppose -f = -0*f. Let b = f + 2. Sort b, 1, w. w, 1, b Let d = 485/6 + -81. Put -1/5, d, -0.3 in descending order. d, -1/5, -0.3 Suppose 3*g + 22 = 5*x, -3*x + 10 = -2*x + 5*g. Put 0, x, -4 in descending order. x, 0, -4 Let b = -19/7 - -3. Put 0.2, -2, b in decreasing order. b, 0.2, -2 Let n be (12/10)/((-3)/(-10)). Let i be 6/(-9)*6/n. Let o = i - -5. Put -4, -5, o in ascending order. -5, -4, o Suppose -3*g = 4*y - 5, 3*g - 4*y = -0*g + 13. Let o be (-5)/(1 + (g - 3)). Sort o, -3, 5 in ascending order. o, -3, 5 Suppose 2*w = -3 - 3. Let m = -56 + 59. Let t(d) = d + 7. Let o be t(-6). Sort o, w, m in ascending order. w, o, m Let n(l) = l**3 + 7*l**2 - 9*l - 12. Let g = -36 + 59. Suppose -r = 4*u + 2*r + 29, -3*u - r = g. Let a be n(u). Put 2, 4, a in increasing order. a, 2, 4 Let x = 1.38 + 1.62. Sort -2/3, 12, x, -0.3 in decreasing order. 12, x, -0.3, -2/3 Let c = -51 - -60. Put 2, 3, c in decreasing order. c, 3, 2 Let k = 3 - 0.5.
{ "pile_set_name": "DM Mathematics" }
by i? 13 What is the remainder when 11 is divided by (-4)/12*18/(-3)? 1 Let d(g) = 3 - 2*g - 4*g + 2*g**3 - 6*g**2 + 0. What is the remainder when d(5) is divided by 825/39 - -4 - 2/13? 23 Let q(m) = -5*m - 40. Suppose 48 = 2*k + 2*k. What is the remainder when q(-17) is divided by k? 9 Suppose -6 = -r - 1. Let w(p) = -p + 12. Let x(h) = 13*h**2 + h + 1. What is the remainder when x(-1) is divided by w(r)? 6 Suppose -h - 2 = -0*h. Let w = -2 - h. Suppose w*r + 42 = 2*r. Calculate the remainder when r is divided by 11. 10 Let g = -6 - -10. Suppose -12 - 31 = -4*l - 3*w, 3*l + 2*w - 31 = 0. What is the remainder when l is divided by g? 3 Let t be 6/(-2) + 3/3. Let c be ((-104)/(-10) + t)*-5. What is the remainder when c/(-10) - (-1)/(-5) is divided by 3? 1 Let w(g) = 6*g**3 - g**2 - g + 1. Let p be w(1). Suppose 0 = p*x - 55 - 5. What is the remainder when 35 is divided by x? 11 Calculate the remainder when ((-9)/5)/((-33)/220) is divided by 7. 5 Let w = -14 - -13. What is the remainder when (-9 - -6)/(w/13) is divided by 14? 11 Let j = -12 + 22. Let t = -6 + 12. Let v = t + 23. Calculate the remainder when v is divided by j. 9 Suppose 2*z - n = -2*z + 103, 2*z = 4*n + 34. What is the remainder when z is divided by 16? 11 Suppose 0 = c + c - 4, k = 2*c + 84. Suppose 2*u - k - 38 = 0. Suppose -2*x + 5*x = u. What is the remainder when 40 is divided by x? 19 Suppose -3*y = -y. Suppose y = -3*n + 40 - 10. Calculate the remainder when 29 is divided by n. 9 Let h be (24/(-28))/((-2)/(-14)). Let m = 14 + h. What is the remainder when 14 is divided by m? 6 Let f = 10 - -10. Let u be 257/7 + 4/14. Suppose 5*t + u = 3*o + t, -t = 4*o - 24. What is the remainder when f is divided by o? 6 Let v(p) = p**3 - 2*p**2 + p + 6. Let f = 1 - 0. Calculate the remainder when 1/f - -16*1 is divided by v(0). 5 Suppose -3*k = n - 36, 2*k + 248 = 5*n - 0*k. Suppose -3*s = -2*p + 3 - 51, -3*s + n = -5*p. What is the remainder when 30 is divided by s? 14 Suppose 0 = -2*v - 3*p + 32, -2*p + 102 = -2*v + 7*v. Let l(x) = 2*x**2 - 6*x. What is the remainder when v is divided by l(4)? 6 Let f(r) = 2*r**2 + 11*r + 4. What is the remainder when f(-7) is divided by 7? 4 Let y(s) = s**3 - 8*s**2 + 3*s + 5. Let a be y(8). Suppose -3*p + 0*o = -4*o - a, -2*p = -4*o - 14. What is the remainder when 42 is divided by p? 12 Let f(k) = -4*k**3 + k**3 + 5*k - 2*k**2 + 4*k**2 + 2*k**3 - 3. What is the remainder when 3 is divided by f(3)? 0 Let c(a) = -a**3 - a**2 - 7*a - 2. Let y = 18 - 5. Calculate the remainder when c(-3) is divided by y. 11 Suppose 3*b + 12 = -48. Let a = -17 - b. Calculate the remainder when 10 is divided by a. 1 Suppose 4 = 4*i, g + 2*i = -i + 43. What is the remainder when g is divided by 14? 12 Let l(b) = -6*b + 2. Let x be l(-2). Let h = -4 + x. What is the remainder when 28 is divided by h? 8 Let a = -63 + 40. Let x = a + 37. What is the remainder when 25 is divided by x? 11 Let q(t) = 2*t + 0 + 3 - 5*t - 2*t**2 + t**2. What is the remainder when 2 + (-1 - 3/(-1)) is divided by q(-3)? 1 Let t(a) = a**3 + 4*a**2 - 4*a + 2. Let j be t(2). Let s = -4 + j. What is the remainder when s is divided by 3? 2 Suppose 2*l - 332 = -2*l. What is the remainder when l is divided by 21? 20 Suppose -2*l = 3*l - 20. Suppose 5*h - f - 6 = 3*f, l*f = h + 2. Calculate the remainder when 8 is divided by ((-7)/14)/(h/(-12)). 2 Calculate the remainder when 17 is divided by (2 - 36)*17/(-34). 0 Suppose -2*v + 0*v = -2*w - 48, 0 = v + 5*w - 12. Calculate the remainder when 131 is divided by v. 21 Let g be 2/(-10) + (-63)/(-15). Suppose -2*h + 2*z = 3*z - 15, -g*h + 4*z = 0. Let n = 22 + -14. Calculate the remainder when n is divided by h. 3 Let o = 3 - -1. What is the remainder when 19 is divided by o? 3 Let r(f) = -6*f**2 + f - 1. Let k be r(1). What is the remainder when -129*(0 + 2/k) is divided by 22? 21 Let u = -131 - -140. Calculate the remainder when 26 is divided by u. 8 Let h(j) = j - 1. Suppose -g = 2*p - 3, 0 = 5*g + 2*p - 7*p - 15. Calculate the remainder when h(6) is divided by g. 2 Let q = 131 - 116. Calculate the remainder when 40 is divided by q. 10 Let k = -17 + 10. Let p(j) = -11*j - 9. Let b be p(k). Suppose -3*s + 70 = -i, 2*i = -3*s + 4*i + b. What is the remainder when s is divided by 13? 11 Let g(j) = j - 5. Let w be g(5). Suppose -5*o = -3*n + 158, w = 4*o - 8. Suppose -4*a - 7 = -83. Calculate the remainder when n is divided by a. 18 Let k be ((-4)/8)/(1/(-4)). Suppose -96 = k*r - 5*r. What is the remainder when r is divided by 11? 10 Let a(m) = -2*m**3 - m. Calculate the remainder when (3/9)/(3/72) is divided by a(-1). 2 Suppose 0*s + 5*s + 40 = 0. Let c be 60/s*(-8)/10. Suppose -2*x - x = -c. Calculate the remainder when 4 is divided by x. 0 Suppose 4*m + 3*m = 98. What is the remainder when 53 is divided by m? 11 Let i(f) = f**3 + f**2 - f + 21. Let p = 19 + -8. What is the remainder when i(0) is divided by p? 10 Let d(a) = a**2 + 10*a + 13. Suppose -19 = -4*q - 5*u, 5*q - 2*u - 23 - 9 = 0. Calculate the remainder when q is divided by d(-9). 2 Let q(y) = 29*y**2 + 2*y + 1. Calculate the remainder when 2/(-7) - 15363/(-189) is divided by q(-1). 25 Suppose -245 = 5*u + 5*w, 82 = -6*u + 4*u + 2*w. Let q = u - -68. Suppose -3*i = -242 + 41. Calculate the remainder when i is divided by q. 21 Let w = 2 + 0. Suppose 68 = 4*x + 4*r, 0*r - w*r + 88 = 5*x. What is the remainder when 33 is divided by x? 15 Let y(a) = -a**3 + 5*a**2 - 3*a + 4. What is the remainder when 28 is divided by y(4)? 4 What is the remainder when ((-5187)/(-49) - 0) + 1/7 is divided by 36? 34 Suppose 2*d + 36 = 4*n, -6*n + 31 = -n + d. Let v = n + -1. Calculate the remainder when v is divided by 4. 2 Let g(w) = w**2 + 5*w + 2. Let a be g(-2). Suppose 0*p = 3*p - 6. What is the remainder when p is divided by (-3 - a)*(-3 - -4)? 0 Suppose -2*l + 1 + 3 = 0. Suppose -4*c - q = -75, 2*c + q = 35 + l. Suppose c = -g + 2*g. Calculate the remainder when g is divided by 10. 9 Suppose -3 - 13 = -2*w. What is the remainder when 23 is divided by w? 7 Suppose 5*t + 9 = 74. Suppose -2*z = -z - t. Calculate the remainder when 20*((-12)/15 + 2) is divided by z. 11 Let f = -347 + 358. What is the remainder when 29 + -1 + 4 + -2 is divided by f? 8 What is the remainder when 21 is divided by 2 + -5 - 1 - -13? 3 Suppose -5*t - 15 = 5*r, 6 = r - t + 3. Let h be (-26 - r)*(-1)/2. Suppose k = 26 + h. Calculate the remainder when k is divided by 20. 19 Let f be 10/6 - (-14)/(-21). Calculate the remainder when 66 is divided by ((-34)/6)/(f/(-3)). 15 Let f(a) = a**2 + 3*a - 12. Let s be f(-10). Let h = -28 + s. Calculate the remainder when h is divided by 11. 8 Let o(v) = 22*v**2. Let d be o(1). Suppose 2*b = a - d, 2*a = a - 5*b + 22. Calculate the remainder when 41 is divided by a. 19 Let i be (-1 + 0)*(38 + -6). Let o = i - -72. Calculate the remainder when o is divided by 14. 12 Suppose 0 = -5*c - 0*c + 150. Suppose 78 = 5*l - p + 12, -l + c = 4*p. What is the remainder when 54 is divided by l? 12 Let c(s) = s**3 + 2*s**2 - 6*s + 2. Calculate the remainder when c(-3) is divided by 8. 3 Suppose 3*k - 42 = -3*r, -23 = -r - 6*k + 2*k. What is the remainder when 52 is divided by r? 8 Calculate the remainder when 79 is divided by (-186)/(-9) - (-2)/(-3). 19 Let r = 41 - 35. What is the remainder when (32 - 1) + (0 - 2) is divided by r? 5 Let z be 61/(-4) + (-2)/(-8). Calculate the remainder when 21 is divided by ((-33)/z)/((-1)/(-5)). 10 Suppose -36 - 86 = 2*k. Let h = k + 107. What is the remainder when h is divided by 12? 10 Suppose 5 = y + 2, k = 2*y + 5. Calculate the remainder when 31 is divided by k. 9 Let s(u) = u**3 + 6*u**2 + 4. Calculate the remainder when 15 is divided by s(-6). 3 Let t be 39/65 + 6/(-10). Suppose 2*n + t*n = 152. What is the remainder when n is divided by 13? 11 Suppose -o + 2 = -0. Let k = -10 + 16. Calculate the remainder when k is divided by o. 0 Suppose 0 = -5*v + 2*l + 410, 2*l = -2*v + v + 70. What is the remainder when v is divided by 21? 17 Let o(c) = c**2. Let h(y) = 7*y**2 + 7*y - 5. Let l(g) = h(g) - 4*o(g). Calculate the remainder when l(-6) is divided by 21. 19 Let k = -8 + 5. Calculate the remainder when (15/(-4))/(k/8) is divided by 3. 1 Let w = -44 + 78. What is the remainder
{ "pile_set_name": "DM Mathematics" }
Suppose t*m - 6*m + 8 = s, -2*m + 2*s = 0. Calculate the highest common divisor of m and 8. 2 Let c be (110/(-30) + 7)/(3/9). Calculate the greatest common divisor of c and 15. 5 Let r be 97 - (1/(-4) + 0)/((-53)/(-212)). Let d(g) = 3*g - 7. Let w be d(7). What is the highest common divisor of w and r? 14 Suppose 2*p - 2*m + 22 = 0, -2*m - 34 = 2*p - 4. Let z(a) = a + 9. Let j be z(p). Let i = j + 12. Calculate the greatest common factor of 2 and i. 2 Let s(c) = -6*c + 12. Let p be s(-7). Calculate the highest common factor of p and 12. 6 Suppose 0 = i - 4 - 2. Suppose 0 = -n - 3, -i*w + 2*w + 5*n = -247. Let m = 47 + w. Calculate the greatest common factor of m and 15. 15 Let g = -1157 + 1164. What is the greatest common factor of 672 and g? 7 Let g(c) = -c**3 - 6*c**2 + 8*c - 10. Let v be g(-7). Let p = -97 + 48. Let d = v - p. What is the highest common divisor of d and 48? 16 Let r be (-72)/(-5)*(45/10 - -3). Suppose 102 = 5*a - r. What is the greatest common factor of 70 and a? 14 Suppose 54*l + 546 = 145*l. Calculate the greatest common divisor of 38 and l. 2 Let o = 143 - 101. Let h(j) = 37*j - 83. Let r be h(3). Calculate the highest common divisor of o and r. 14 Suppose -3*x = o - 0*o - 31, -2*x + 4*o = -16. Let t be 10/(2 + 19/(-10)). Calculate the highest common divisor of t and x. 10 Let q(z) = -z**3 - 10*z**2 + 26*z + 63. Let l be q(-12). What is the greatest common divisor of l and 507? 39 Let u be 4 + -4 - (-1 - 7). Suppose u*k - 7*k = 26. Calculate the greatest common factor of 234 and k. 26 Let q(m) = m**2 + 7*m + 58. Let j be q(-13). Calculate the highest common factor of j and 102. 34 Suppose 2*i - 5*p - 8085 = 0, 2*i + 16*p - 20*p = 8080. Calculate the highest common divisor of i and 130. 130 Let o(p) = -18*p - 18. Let k be o(-2). Calculate the greatest common divisor of k and 270. 18 Let p(y) = -y**2 + 19*y - 6. Let h be p(18). Let c be (18/h - -2)*4. What is the greatest common divisor of c and 238? 14 Let n(w) = 2*w - 14. Let v be n(9). Suppose -6*h = -h + 4*j - 25, -2*h - 2 = v*j. Let u = 189 + -90. Calculate the highest common divisor of h and u. 9 Let l = -2 + 4. Let i = -32 + 42. What is the highest common factor of l and i? 2 Suppose 9 = 3*r, 4*f + r - 147 = -0*f. Calculate the highest common factor of f and 2556. 36 Let c(g) = 2*g**2 + 8*g + 2. Let a be (-4)/2 - (0 - 17). Suppose 4*o + a = -9. Let v be c(o). What is the highest common factor of 65 and v? 13 Suppose -5 = -3*z + 1. Suppose b - 2 = z*w, w + 4 = -b - 0*b. Let c be 23 - ((-4)/(-2))/w. Calculate the highest common factor of c and 16. 8 Let i(m) = -m**3 + 19*m**2 - 18*m + 13. Suppose u = 3*u - 36. Let b be i(u). What is the highest common factor of 104 and b? 13 Let a be ((-36)/(-21))/((-11)/((-10164)/8)). What is the greatest common factor of a and 22? 22 Let a(j) = j**3 + 42*j**2 - 41*j + 92. Let p be a(-43). Calculate the greatest common divisor of 24 and p. 6 Let c = -1384 + 1791. Calculate the greatest common factor of c and 22. 11 Let h = -23 - -28. Suppose -h*n + 4 = -1. Let m be -18*(32/(-12))/n. Calculate the highest common divisor of 12 and m. 12 Let d(t) = t - 14. Let q be d(17). Let l = 10 + -10. Suppose -3*k = 5*p - 141, -5*p = -l*p + 4*k - 143. Calculate the highest common divisor of q and p. 3 Let r = 39 - 25. Suppose -4*b + 28 = -5*t, -3*b + 15 + 6 = -3*t. Calculate the highest common factor of b and r. 7 Let s be (16/(-20))/(4/(-10)). Suppose -s*b + 2 = -2. Let k(q) = -23*q + 6. Let h be k(0). Calculate the highest common divisor of b and h. 2 Let x(h) = -h**3 + 31*h**2 - 3*h + 100. Let g be x(31). What is the greatest common divisor of g and 259? 7 Suppose 2*y = -5*a + 3*y + 4, -4*a + 8 = -2*y. Suppose -2*f + 14*f - 72 = a. What is the highest common divisor of f and 78? 6 Let b be -3 - (4 + -51) - 6. Calculate the highest common factor of b and 38. 38 Let w = 109 - 81. Suppose 3 = 3*j, 4*q + 3*j + w = 5*q. What is the greatest common divisor of 31 and q? 31 Suppose 0 = -2*z - 2*j + 434 + 140, 2*z - 578 = 2*j. What is the greatest common divisor of 36 and z? 36 Suppose -p = -3*m + 500, 5 = -m + 2*p + 165. Let z = 8 - 6. Suppose 0*o = -z*o + m. Calculate the greatest common divisor of o and 12. 12 Suppose -39*a + 49*a - 3680 = 0. Calculate the greatest common factor of a and 16. 16 Let g = 268 - 545. Let y = 431 + g. Calculate the highest common divisor of 14 and y. 14 Let s be (-2)/8 + (-12389)/(-52). Calculate the greatest common divisor of s and 34. 34 Suppose 0 = -s, -7*t + 755 = -2*t + 4*s. Suppose 5*b - t - 114 = 0. Suppose 2*h = 5*x - 3 - 227, -b = -x - h. Calculate the highest common divisor of 6 and x. 6 Suppose 0 = 2*u, -5*s - 2*u + 6*u = -425. What is the highest common divisor of 5 and s? 5 Suppose 0 = 5*k - 6*k + 20. Suppose -k = -u - 4*u. Suppose 0 = 3*s + s - 2*x - 186, -4*s = -x - 181. Calculate the highest common divisor of u and s. 4 Let m(u) = u**3 + 7*u**2 + 8*u + 14. Let c be m(-6). Suppose 14 = c*r + 4. Calculate the highest common divisor of 40 and r. 5 Suppose -2*n = -10 + 2. Suppose 3*a + 100 = -n*h, -3*a + 31 - 153 = 5*h. Let i = 10 - h. What is the highest common divisor of i and 224? 32 Suppose -7 = -r - 0. Suppose -r*x + 28 = -280. Let v = 191 + -81. What is the greatest common factor of x and v? 22 Let a(o) = -o**2 - 3*o + 8. Let r be ((-4)/4)/(3/12). Let z be a(r). Let k be 6*z/(-8) + 157. Calculate the greatest common divisor of k and 14. 14 Suppose 47 = -4*m + 263. Suppose -5*c - 299 = -4*r, 5*r + 3*c = 2*r + 258. What is the highest common factor of r and m? 27 Suppose 26 = d - 58. Let w be 8/60*3 + 416/10. What is the greatest common factor of w and d? 42 Let k be ((-25)/5 - 293)/(4/2). Let o = -125 - k. What is the highest common factor of 12 and o? 12 Let p = 963 - 956. Let v(n) = n**3 + 4*n**2 - 3*n - 5. Let z be v(-4). What is the greatest common divisor of z and p? 7 Let i = 1 + 1. Let o = 10 - 7. Let m be o*(-5)/45*-6. What is the highest common divisor of m and i? 2 Let a(u) = 2*u**2 - 12*u + 25. Suppose -3*k - l = -24, 5*k - k - 25 = l. Let d be a(k). Calculate the highest common divisor of 52 and d. 13 Let g = 509 - 461. Calculate the highest common divisor of 78 and g. 6 Let o(c) = -c**2 + c. Let a(h) = h**3 - 10*h**2 + 10*h - 5. Let t(j) = -a(j) + 6*o(j). Let w be t(3). Calculate the greatest common factor of 5 and w. 1 Suppose -5*v - 1 = -201. Let z(j) = 3*j + 6. Let a be z(9). Let d be a/7 - (-12)/42. Calculate the greatest common divisor of v and d. 5 Suppose 2 = -r + 2*r. Suppose 154 = r*o - 22. Suppose -m + 11 = -x, -m + 0*m + 5*x = -23. Calculate the highest common factor of m and o. 8 Let b be (-12)/(-36) - (-8474)/3. Calculate the greatest common divisor of b and 25. 25 Let w(r) = -22*r - 1. Let b be w(-4). Let j be b - ((-2 - -6) + -4). Calculate the greatest common factor of 58 and j. 29 Let z = 70 + -73. Let h(r) = 2*r**2 + 7. Let u be h(z). What is the highest common factor of 5 and u? 5 Let t be ((-264)/30 + (-1)/(-1))*-20. Calculate the highest common factor of t and 36. 12 Suppose -4*s - 7 + 3 = 0. Let o be s*(6 + -12 - (-8)/2). What is the greatest common divisor of 10 and o? 2 Suppose 15*r - 112 = 263. What is the greatest common divisor of 425 and r? 25 Let h(g) = g**3 + 25*g**2 + 44*g - 8. Let l be h(-23). What is the highest common factor of l and 76? 38 Let r = -51 + 91. Let o = -1914 - -1930. Calculate the greatest common factor of r and o. 8 Let h = 139 + -69. Suppose 2*i - 454 = -104. Calculate the greatest common factor of i and h. 35 Suppose 3*a - 15 = -3*q + 60, 0 = 2*q + 4*a - 58. Calculate the highest common factor of 21 and q. 21 Suppose 555 = 10*j + 155. Suppose -36 - 12 = -3*d. Calculate the highest common factor of j and d. 8 Let h(u) = 7*u - 22. Let g be h(9). Let a = g + -20. What is the highest common divisor of 189 and a? 21 Suppose 0 = -s + 1, -5*s + 2 + 75 = 2*d. Let j = d + -34. Suppose -44 = 4*c - 108. Calculate the greatest common factor of c and j. 2 Suppose 33*w - 18867 = 12615. What is the highest common factor of 36 and w? 18 Let q(c) be the third derivative of -c**6/120 + c**5/10 + c**4/6 - 4*c**3/3 - 13*c**2. Let b be q(6). What is the highest common factor of b and 128? 16 Let c = 433 + -160. What is the greatest common divisor of c and 21
{ "pile_set_name": "DM Mathematics" }
places? -0.000009 Let g be 66164564/10 + 2/(-5) - -3. Suppose -w + g = -14183541. Round w to the nearest 1000000. 21000000 Let o = 421.000347 + -421. What is o rounded to 4 decimal places? 0.0003 Let d = -67156 + 34556. What is d rounded to the nearest ten thousand? -30000 Let w = -1379 - -1378.999996223. What is w rounded to six decimal places? -0.000004 Let s = -2051 - -2051.2631. What is s rounded to 2 dps? 0.26 Let x = -409.229 - -409. Let t = -0.5639 - -0.324. Let w = x - t. What is w rounded to three dps? 0.011 Let l = 95 - 242. Let k = l - -147.93. What is k rounded to 1 decimal place? 0.9 Let s = -203105 - -203104.4999944. Let g = 0.9 + -1.4. Let k = g - s. What is k rounded to 6 decimal places? 0.000006 Suppose 7*q + 1382 = 5*q + 3*h, -688 = q - 3*h. What is q rounded to the nearest one hundred? -700 Let l = -6009 + 5331.7. Round l to the nearest ten. -680 Let i = 0.1140456 + -0.1133. Round i to 4 decimal places. 0.0007 Let y = -6153 - 2447. What is y rounded to the nearest 10000? -10000 Suppose 22721 = 3*s + x - 10632, -4*s = 4*x - 44476. Let c(q) = s*q + 14803*q + 8680*q. Let i be c(5). What is i rounded to the nearest ten thousand? 170000 Let u = 1.2 - 0.9. Let g = -2 - u. What is g rounded to one dp? -2.3 Let r = -19.3 - -10.6. Let j = -8.7039 - r. Round j to three decimal places. -0.004 Let h(w) = 7*w**2 - 8*w - 22. Let q be h(17). Suppose 2*f + 4*p = 4*f + 752, -5*f = -5*p + q. Round f to the nearest one hundred. -400 Let l = 55394416 + -117094416. What is l rounded to the nearest one million? -62000000 Let k = 16468 - 9327. Let l = k - -15859. What is l rounded to the nearest ten thousand? 20000 Let x = 9013703546560.874 + -9013896124861.10400091. Let g = -192578299 - x. Let f = g + -1.23. What is f rounded to seven decimal places? 0.0000009 Let h = 1057.56 + -545.09. Let q = h + -516. What is q rounded to 1 dp? -3.5 Let h = -1270239789811 - -1270220885143.00059. Let g = h - -18904563. Let q = g - -105. What is q rounded to 4 dps? 0.0006 Suppose -49830000 = -2*k + 13*k. What is k rounded to the nearest 100000? -4500000 Let m = -46 + 45. Let a = m - -0.9999956. What is a rounded to 6 dps? -0.000004 Let t be 1910/1*6/(-4). Suppose -1675 = -19*f + 24*f. Let j = t + f. What is j rounded to the nearest 1000? -3000 Let u = 15.688 - 15.6879992911. What is u rounded to seven decimal places? 0.0000007 Let v = -49 + 150. Let y = v + -101.000043. What is y rounded to five dps? -0.00004 Let u = -26380 + 48484. Let n = -14607 + u. Suppose -w - 2*d = -19698, n = -4*w + d + 86298. What is w rounded to the nearest one thousand? 20000 Let t = 8.65180803 + 0.01908497. Let a = 0.670873 - t. Let w = a - -8. Round w to 4 decimal places. 0 Let o = 0.511 - 0.51554. Round o to 3 decimal places. -0.005 Let h be 1 - (-4 - (-521003 - 6/3)). What is h rounded to the nearest one hundred thousand? -500000 Let r = 707 - 410. Let h = r - 297.617. Round h to one dp. -0.6 Let z be (5890/3)/(-2 + 50/30). Round z to the nearest 1000. -6000 Let p = -10218274029045 + 10218274177121.97199954. Let d = 148077 - p. Let f = -0.028 + d. What is f rounded to seven dps? 0.0000005 Let q = 4.458 - 4.43087. Round q to three decimal places. 0.027 Let r be ((1 - 4)/(-6))/(8/(-176)). Let n be (10/1)/(r/519200). Round n to the nearest 100000. -500000 Let i(d) = -1291*d + 21. Let j be i(-12). Suppose 0 = 2*y - 4*l + 94501 - j, -5*y - 197506 = 2*l. Round y to the nearest 1000. -40000 Let k(f) = 37079*f - 4. Let w be k(5). Suppose -2*r = 2*x + 492010, -x - w - 60584 = -5*r. What is x rounded to the nearest 10000? -250000 Let m = 0.5806012884 + -0.5806. Round m to 7 dps. 0.0000013 Let d = 76.5 + -76.499481. What is d rounded to five dps? 0.00052 Let v = -1 + -3. Let z = 19468.99992 - 19473. Let n = v - z. What is n rounded to 4 dps? 0.0001 Suppose 3*m - 2*m - 3*p + 11 = 0, -4*p + 36 = 4*m. Suppose -3*i - m*k = 3596, 0*i = i - k + 1201. What is i rounded to the nearest 1000? -1000 Let x = 394 - 394.903. What is x rounded to one dp? -0.9 Let q(g) be the second derivative of -83611*g**3 - 2*g**2 + 2*g - 3. Let a be q(6). What is a rounded to the nearest 1000000? -3000000 Let q = -0.455 - -0.45479. Round q to three dps. 0 Suppose -5*f - 4*u - 77786 - 19974 = 0, -19576 = f - 4*u. Let z = f - -13756. Round z to the nearest 1000. -6000 Let j(p) = -p**3 + 8*p**2 - 4*p + 9. Let v be j(6). Suppose 597 - v = -3*y. What is y rounded to the nearest 100? -200 Let n = -0.078 - 3.622. Let f = -70276795 - -70276798.7000029. Let d = f + n. What is d rounded to six decimal places? 0.000003 Let b be ((-19320)/98)/(2/287). What is b rounded to the nearest 1000? -28000 Let w = 54.932 - -0.068. Let v = 54.9999951 - w. Round v to 6 dps. -0.000005 Let k(y) = -5029*y**3 - y**2 - 2498*y**3 + 2*y - 4349*y**3. Let w be k(-2). Round w to the nearest ten thousand. 100000 Suppose 0 = 3*l - 3*f - 31920, -2*l = -5*l + f + 31924. Let g = l - 44142. What is g rounded to the nearest 10000? -30000 Let k(j) = 8*j + 11789*j**2 + 30206*j**2 + 26094*j**2 - 14963*j**2. Let w be k(-8). Round w to the nearest one million. 3000000 Let g = -18839.260067 - -18836.96. Let q = -231 + 233.3. Let d = g + q. Round d to 5 decimal places. -0.00007 Let p = -28.2 + 30. Let n = 1.80000169 - p. What is n rounded to 7 decimal places? 0.0000017 Let a = -1060.902 - 2.098. Let v = a - -973.9. What is v rounded to the nearest ten? -90 Let b = 132 + -153.2. Round b to 0 decimal places. -21 Let c(g) = 892*g + 6. Suppose k + 4 = -p + 2*k, -5*k + 17 = -4*p. Let m be c(p). Let a = -14630 + m. Round a to the nearest 1000. -17000 Let z be 4860001/3*1 - 9/27. Suppose 5*j - 8*j - z = 0. Round j to the nearest one hundred thousand. -500000 Let m be 62/6 + (8/(-6) - -1). Let k be m/195*-3 - 522600004/(-26). What is k rounded to the nearest one million? 20000000 Suppose 6*l + 10*l - 32 = 0. Suppose -3*o = -0*o + 3*i - 13680012, -5*o + l*i = -22799992. Round o to the nearest 100000. 4600000 Let s = -181 + 180.814. Let j = -0.019 + s. Round j to two dps. -0.21 Let u(l) = l**2 - 7*l + 9. Let g be u(7). Let d be -3*((-1675263)/g - 3). Suppose 1391570 = -5*s - d. What is s rounded to the nearest 100000? -400000 Let d = -864.36 + 921. Round d to 0 dps. 57 Let m(n) = 1 + 8 - 7*n + n**2 - 1 - 2. Let y be m(5). Let j be (2700/14)/(y/560). What is j rounded to the nearest ten thousand? -30000 Let a = 0.18 - 0.02. Let c = -0.07 + a. What is c rounded to two dps? 0.09 Let h(o) = -30*o**2 + 5*o + 5. Suppose -3*f - 45 + 36 = 0. Let a be h(f). What is a rounded to the nearest one hundred? -300 Let m = 866736 + -3912736. Round m to the nearest one hundred thousand. -3000000 Suppose 6*c - 44114 = 7846. Round c to the nearest one thousand. 9000 Let u = -1050.99998661 - -1051. Round u to six dps. 0.000013 Let u(r) = 1085*r**3 - 19*r**2 - 67*r + 5. Let o be u(-3). Round o to the nearest one thousand. -29000 Let n = -55.8 + 60. Let x = 4.2000023 - n. What is x rounded to seven dps? 0.0000023 Let k = -5844518.00007 - -5844544. Let w = k - 26. Round w to 4 dps. -0.0001 Let x = -82.54 - -80. Let h = x + 4. Let m = h + -1.6. Round m to one decimal place. -0.1 Let n = -22271.320004 + 22280.32. Let u = n + -9. Round u to 6 dps. -0.000004 Let p(u) = u**3 - 22*u**2 - u + 26. Let k be p(22). Suppose k*c = -27 + 455. Round c to the nearest 10. 110 Let t = 105 - 105.0000067. Round t to six dps. -0.000007 Let f = 372.1 + -398. Let i = f + 0.9. Let n = i + 24.999922. Round n to five dps. -0.00008 Let i = -9.5948 + -2.5362. Round i to zero dps. -12 Let z = -12 - 113. Let m = -125.0000068 - z. Round m to six decimal places. -0.000007 Let b = 0.1191 + -0.0515. Round b to three decimal places. 0.068 Let r = -1295.1 - -1155. Let g = r - -151. What is g rounded to the nearest 10? 10 Suppose -p = 3*p + 68. Let h(t) = 6*t**2. Let d be h(-1). Let f be (p/(-1))/(2/d). Round f to the nearest 10. 50 Let g = -158.94 + 158.93993189. What is g rounded to six dps? -0.000068 Let o = -13.2582 + -15.7363. Let g = 5.1 - 34.1. Let u = g - o. Round u to three dps. -0.006 Let r = 16.3 + 3.7. Let c = -15 + r. Let u = 5.088 - c. Round u to 2 dps. 0.09 Let s(l) = -10382*l + 2. Let d be s(1). Round d to the nearest 100. -10400 Let h = -0.1502 + 0.1500883. Round h to five decimal places. -0.00011 Let q be 6/2 + 1
{ "pile_set_name": "DM Mathematics" }
, 4434, 3717? 3000 What comes next: 838, 1641, 2396, 3103? 3762 What is the next term in 28925, 57835, 86745, 115655, 144565? 173475 What is the next term in -45, -259, -809, -1863, -3589? -6155 What is next in 214, 448, 680, 904, 1114, 1304, 1468, 1600? 1694 What comes next: -15620, -31239, -46858, -62477? -78096 What is next in -64027, -127989, -191951, -255913, -319875? -383837 What is next in 4954, 9946, 14940, 19936, 24934? 29934 What comes next: 815, 2063, 3313, 4565, 5819, 7075? 8333 What comes next: 23604, 23607, 23610, 23613? 23616 What is next in -202, -1018, -3234, -7552, -14674, -25302? -40138 What comes next: 4242, 16991, 38232, 67959, 106166, 152847? 207996 What comes next: -5967193, -5967192, -5967191, -5967190, -5967189, -5967188? -5967187 What comes next: 18244, 36490, 54736, 72982, 91228? 109474 What comes next: -799, -2215, -4275, -6985, -10351, -14379, -19075? -24445 What comes next: -3330, -11189, -24280, -42597, -66134? -94885 What is the next term in 6201, 12490, 18779? 25068 What is next in 740, 1486, 2232, 2978, 3724, 4470? 5216 What is the next term in 2, 74, 186, 332, 506? 702 What is the next term in 130, 185, 262, 349, 434, 505? 550 What is the next term in -160, -304, -432, -544, -640, -720? -784 What comes next: 453, 551, 645, 735, 821, 903? 981 What is next in 10279, 10295, 10323, 10363, 10415, 10479? 10555 What comes next: -126, -458, -1034, -1872, -2990, -4406? -6138 What is next in -80, -555, -1830, -4307, -8388, -14475, -22970? -34275 What comes next: -1798, -14196, -47836, -113338, -221322, -382408? -607216 What comes next: 80, 128, 150, 134, 68, -60, -262? -550 What comes next: -610, -2359, -5246, -9271? -14434 What is the next term in 67, 441, 1485, 3541, 6951, 12057, 19201? 28725 What is the next term in 1554452, 1554450, 1554446, 1554440, 1554432, 1554422, 1554410? 1554396 What comes next: -49573, -49566, -49559, -49552, -49545, -49538? -49531 What is next in 2041509, 2041507, 2041505, 2041503, 2041501? 2041499 What is the next term in 39802, 39831, 39860? 39889 What is the next term in -1110, -4471, -10062, -17877, -27910, -40155? -54606 What is the next term in 4733, 4779, 4827, 4877, 4929? 4983 What is next in -9219, -36697, -82501, -146637, -229111, -329929? -449097 What comes next: -890, -3496, -7840, -13922? -21742 What comes next: 209, 75, -49, -157, -243, -301? -325 What is next in -195075, -195076, -195077, -195078, -195079? -195080 What is next in -213, -145, -77? -9 What comes next: 335799, 335827, 335853, 335877, 335899? 335919 What is the next term in -1243, -3909, -8009, -13549, -20535, -28973, -38869? -50229 What is the next term in 5628, 11260, 16894, 22530, 28168, 33808? 39450 What is the next term in 66664, 133338, 200012? 266686 What comes next: -1609523, -1609525, -1609529, -1609535, -1609543, -1609553? -1609565 What is next in -20, 526, 1442, 2734, 4408? 6470 What is the next term in -163, 193, 775, 1589, 2641, 3937, 5483, 7285? 9349 What comes next: -21440, -42888, -64326, -85754? -107172 What comes next: 2371, 2369, 2367, 2365, 2363? 2361 What is next in -124, -168, -212, -256? -300 What is the next term in 1042, 1163, 1308, 1489, 1718, 2007, 2368, 2813? 3354 What is the next term in 28202, 56413, 84622, 112829, 141034, 169237? 197438 What is next in -126, -271, -442, -645, -886, -1171, -1506, -1897? -2350 What is next in 2427, 9723, 21887, 38919, 60819, 87587? 119223 What is the next term in 5528896, 5528892, 5528886, 5528878? 5528868 What is the next term in 206, 263, 380, 587, 914, 1391? 2048 What is next in 33465, 66932, 100399, 133866, 167333, 200800? 234267 What comes next: 7904, 31651, 71230, 126641? 197884 What is the next term in -273, -496, -641, -708? -697 What is the next term in -79, -842, -2975, -7162, -14087, -24434, -38887? -58130 What comes next: 975, 842, 613, 288, -133, -650, -1263? -1972 What comes next: 12729, 12730, 12729, 12726, 12721? 12714 What is next in 151, 646, 1625, 3214, 5539, 8726, 12901? 18190 What is the next term in 752, 3007, 6766, 12029, 18796? 27067 What comes next: -436, 491, 2034, 4193, 6968, 10359, 14366? 18989 What comes next: 67, 90, 61, -32, -201, -458? -815 What is the next term in -263, -448, -659, -902, -1183, -1508? -1883 What is the next term in -304, -1070, -2348, -4138, -6440, -9254? -12580 What is next in -864, -6940, -23468, -55674, -108784, -188024, -298620, -445798? -634784 What comes next: 160, 527, 894, 1261, 1628? 1995 What comes next: -261, -265, -275, -291, -313? -341 What is next in 219113, 438218, 657319, 876416, 1095509, 1314598, 1533683? 1752764 What is next in -4707, -9341, -13977, -18615? -23255 What is the next term in 311511, 311502, 311493? 311484 What is next in -42494, -84984, -127474? -169964 What is next in 257258, 257254, 257248, 257240, 257230, 257218? 257204 What comes next: -4346, -8601, -12856, -17111? -21366 What comes next: 5404, 5347, 5290? 5233 What comes next: 136, 77, -18, -143, -292, -459, -638? -823 What comes next: -3051, -3006, -2937, -2850, -2751? -2646 What is next in 2965, 5849, 8723, 11587, 14441, 17285, 20119? 22943 What is next in -435, -1521, -3263, -5661, -8715? -12425 What is next in -24754, -197984, -668180, -1583824, -3093398, -5345384, -8488264, -12670520? -18040634 What comes next: -82, -279, -520, -829, -1230? -1747 What is next in 232, 1774, 5958, 14104, 27532, 47562, 75514, 112708? 160464 What is the next term in -422457, -422413, -422333, -422211, -422041, -421817, -421533, -421183? -420761 What comes next: 857, 840, 795, 710, 573, 372, 95, -270? -735 What is next in 24, 47, 66, 69, 44, -21, -138? -319 What is next in 37, 138, 291, 490, 729, 1002? 1303 What is the next term in -30048, -30046, -30044, -30042, -30040, -30038? -30036 What is the next term in -10731, -10808, -10875, -10926, -10955, -10956, -10923? -10850 What comes next: 9851, 39416, 88693, 157682, 246383, 354796? 482921 What comes next: -180, -301, -418, -531, -640? -745 What is next in -118, -411, -914, -1639, -2598, -3803, -5266? -6999 What comes next: -206, -843, -1914, -3425, -5382, -7791, -10658? -13989 What is next in -15354, -15339, -15300, -15225, -15102, -14919? -14664 What comes next: -1568, -2302, -3036? -3770 What is next in 7182, 14363, 21544, 28725? 35906 What is next in 1468, 1485, 1522, 1585, 1680, 1813, 1990, 2217? 2500 What comes next: -33, -513, -1819, -4365, -8565, -14833? -23583 What is the next term in -962766, -962762, -962758, -962754? -962750 What is next in -50, -87, -108, -107, -78, -15, 88? 237 What is next in -20475, -40962, -61449? -81936 What comes next: 10641, 10642, 10645, 10650, 10657? 10666 What is the next term in 33, 112, 191? 270 What is the next term in 31543, 31551, 31563, 31579? 31599 What is next in -22223, -44445, -66667, -88889? -111111 What is next in -1192, -1175, -1158, -1141? -1124 What is the next term in -2, 67, 192, 373, 610? 903 What is next in 12734, 25473, 38212, 50951, 63690, 76429? 89168 What is the next term in 227, 382, 651, 1034? 1531 What is next in 1079, 4502, 10263, 18356, 28775, 41514, 56567? 73928 What is next in -124, -286, -484, -718, -988? -1294 What is next in -72, 195, 640, 1263, 2064? 3043 What comes next: -890, -1992, -3112, -4256, -5430? -6640 What is next in 5025, 10025, 15025, 20025, 25025, 30025? 35025 What comes next: 251, 158, 1, -220, -505, -854, -1267? -1744 What comes next: 322636, 322635, 322634, 322633? 322632 What is the next term in -1476, -2990, -4518, -6060? -7616 What is next in -59, -1167, -3013, -5597, -8919, -12979? -17777 What is next in 206084, 412168, 618250, 824330, 1030408, 1236484? 1442558 What comes next: 28748, 28744, 28740, 28736, 28732, 28728? 28724 What comes next: -340, -582, -992, -1570, -2316, -3230? -4312 What comes next: -10, 28, 60, 86? 106 What comes next: 46953, 375659, 1267861, 3005307, 5869745, 10142923, 16106589, 24042491? 34232377 What comes next: 515286, 515287, 515288, 515289, 515290, 515291? 515292 What is the next term in 2693, 2946, 3373, 3980, 4773, 5758, 6941? 8328 What is next in -1137507, -1137511, -1137515, -1137519, -1137523? -1137527 What comes next: -634, -1874, -3940, -6832, -10550? -15094 What is next in 22148, 44291, 66424, 88541, 110636, 132703? 154736 What is the next term in -145
{ "pile_set_name": "DM Mathematics" }
-1 What is the nearest to -5/17 in 3, 14, -0.5? -0.5 Which is the closest to -17/9? (a) -3 (b) 0.2 (c) -2/7 (d) 3 a Which is the nearest to 1? (a) 93 (b) 3/7 (c) 0.3 b What is the nearest to -0.1 in -48, -5, 3? 3 What is the nearest to -1 in 4, 2/7, -0.9? -0.9 What is the nearest to -1 in -4, -0.322, 4/5? -0.322 Which is the closest to -1? (a) -0.21 (b) 2 (c) 2/3 (d) 2/5 a What is the nearest to 10/21 in -3, 3, -1? -1 Which is the closest to -47? (a) -0.02 (b) -2 (c) -3 c Which is the closest to 2/9? (a) -38 (b) -20 (c) 4 c What is the closest to -1 in -2/13, -13, -4, -7? -2/13 What is the closest to -526 in -0.2, 5, 4, -2? -2 What is the closest to 0.02 in 0.2, 4, -0.1? -0.1 Which is the closest to -2? (a) -0.5 (b) -5 (c) 3/2 (d) 19/4 a Which is the closest to 0? (a) 0 (b) -34 (c) 2 (d) -0.2 a Which is the nearest to -1? (a) 32 (b) -3/4 (c) -3 b Which is the closest to 0.7? (a) -2/9 (b) -18 (c) -3 a What is the closest to 2/15 in 4, -2/5, -2/15, 24? -2/15 Which is the closest to 0.1? (a) 4/5 (b) 6/7 (c) 5 a Which is the nearest to 2/5? (a) -5 (b) -0.03 (c) 0.07 (d) -8 c Which is the closest to -4? (a) 5 (b) 2/17 (c) -4 (d) -0.5 c What is the closest to -3/4 in 1/4, 2/11, 1, 15? 2/11 Which is the nearest to 1/2? (a) -2/17 (b) 0 (c) -3/4 (d) 9 b What is the nearest to -1 in -0.2, 0.2, 2/5? -0.2 Which is the nearest to 0.2? (a) -3 (b) 0 (c) 23.8 b Which is the closest to 0.8? (a) -4/3 (b) -4 (c) 8 (d) -1 d What is the closest to 0.1 in 2, 0, 1/3, -4? 0 Which is the nearest to -2? (a) -0.12 (b) -3/2 (c) -3 b What is the nearest to -0.1 in 10, 0, 8? 0 Which is the nearest to 0.1? (a) -5 (b) 5 (c) -5/4 (d) 4 c What is the closest to 0 in -8, 2/3, 6, 0? 0 Which is the nearest to 0.3? (a) -0.4 (b) 7 (c) 0.2 (d) 4 c Which is the nearest to 1/3? (a) 0.01 (b) 1/288 (c) 0.4 c What is the nearest to 0.1 in -7, -1/4, -3/4, 1/2? -1/4 What is the closest to -0.1 in 3, -20, 0, 0.02? 0 Which is the closest to 1? (a) 32 (b) -0.5 (c) -4/3 b What is the closest to -1 in 2/7, 54.5, -5/4, -2/9? -5/4 Which is the nearest to 2? (a) -3 (b) -4 (c) -44 (d) 0.3 d What is the closest to 0.1 in 3/5, -3/7, -263/7? 3/5 What is the nearest to 1/2 in 4, 5, -1/5, 4183? -1/5 Which is the closest to -11? (a) -2 (b) -4 (c) -16/9 (d) -0.2 b What is the nearest to 1/3 in 3, 7, -3, 0.1? 0.1 What is the closest to -0.049 in 2/69, 1/4, -2/5? 2/69 Which is the closest to -1? (a) -0.4 (b) -1/6 (c) -6 (d) 16 a What is the closest to -0.1 in 134.9, 0.4, 0? 0 What is the nearest to 1 in -0.404, -2, 0.3, 0.4? 0.4 What is the nearest to 1/4 in -3/4, 1/2, -244, -2? 1/2 Which is the closest to -17? (a) -5 (b) 0.2 (c) 58 a What is the closest to 1/8 in -3, 2/17, 0.4? 2/17 What is the nearest to -1 in 2, 2/7, -3982? 2/7 Which is the closest to 30? (a) -0.3 (b) 0.5 (c) -0.8 b What is the nearest to 0.07 in -0.2, -7/3, -0.3? -0.2 What is the nearest to 0.2 in 1, -0.5, 0, 107? 0 What is the nearest to 1 in -1/13, 0.5, 2/5, -8? 0.5 Which is the closest to 13? (a) -1/7 (b) -5 (c) -3 (d) -2/23 d What is the nearest to 1/4 in -1, -2, 6, 5? -1 What is the nearest to 0 in -1/260, -0.9, -2/9? -1/260 Which is the nearest to -2/9? (a) 0.08 (b) 1/4 (c) 4 (d) 0.2 a What is the closest to 3/4 in 84, -0.1, -15? -0.1 Which is the closest to 0.1? (a) 0.1 (b) -4/15 (c) -7 (d) 7 a What is the nearest to -4 in -2, 3, -1/4? -2 Which is the nearest to 4? (a) -1/4 (b) 5/3 (c) 2 (d) -1/6 c Which is the nearest to 1? (a) 0.07 (b) -3/2 (c) 0.2 c Which is the closest to -2? (a) 0 (b) -5 (c) -54 a What is the nearest to 3 in -1/5, 2, 1/6, 1/11? 2 What is the nearest to -1 in 29/12, 5, 18? 29/12 Which is the closest to 2/3? (a) 2/15 (b) 4/5 (c) 1 b Which is the nearest to -1? (a) 51 (b) 0.4 (c) 3/4 (d) -3/5 d What is the nearest to 11 in 3, -4, -2? 3 Which is the closest to -3? (a) 2/5 (b) -0.5 (c) 4 b What is the nearest to -1 in 3, -2, -3/2, 2? -3/2 What is the closest to -10 in -2/9, -3, 3? -3 What is the closest to 0.01 in 3, -2, -1, -289? -1 What is the closest to -2/3 in 0.2, 4, 0, 2/13? 0 Which is the nearest to -7/5? (a) -3/5 (b) -2/15 (c) 4 a What is the closest to 2/9 in 0.2, -2, 0, 1/2? 0.2 What is the nearest to -2/3 in -7, 3, -4? -4 Which is the nearest to -105? (a) -1/3 (b) -5 (c) 1 (d) 0 b What is the nearest to -4 in 2, -2/11, 0.4, -2/3? -2/3 What is the closest to -1/13 in 2/17, 0, 1, 2/65? 0 Which is the closest to -6? (a) -1/2 (b) 2 (c) 4 (d) 0.2 a Which is the nearest to -0.1? (a) -2 (b) -2/9 (c) 1 (d) 47 b What is the closest to 0.03 in 5, 1/8, 2/11, -13? 1/8 Which is the closest to -5? (a) -2 (b) -0.1 (c) -9 (d) -5 d What is the nearest to 1/5 in -0.5, 3, 0, -9? 0 What is the nearest to -1 in -0.5, -0.3, -4, -27? -0.5 Which is the closest to 0? (a) -3/7 (b) 13/7 (c) 1 a What is the nearest to 1 in -1/4, 0, -4, 0.3? 0.3 What is the nearest to 3/10 in -1, 2, 45/7, 0.2? 0.2 What is the closest to 3 in 5, -3, 0.1? 5 Which is the nearest to -0.04? (a) 2/23 (b) 8 (c) -1/2 (d) -3 a Which is the nearest to -2/121? (a) -2 (b) -1 (c) 3 (d) 2/9 d What is the closest to -2/31 in -0.07, -0.5, 3? -0.07 Which is the closest to 1? (a) -2/9 (b) -2/19 (c) 0.4 (d) -5 c What is the closest to 4 in 26, 4, -4, -0.4? 4 Which is the closest to 3/5? (a) -6 (b) -2/9 (c) 2 (d) 2/89 d Which is the nearest to -0.08? (a) -3/7 (b) 5 (c) -0.11 c What is the nearest to -0.1 in 1/2, 3, -43, -2? 1/2 Which is the closest to 0.4? (a) 2/7 (b) 2 (c) 47 (d) 5 a Which is the closest to -0.02? (a) 5 (b) 0 (c) 2/23 (d) 16 b Which is the nearest to -0.005? (a) -0.3 (b) 0.1 (c) 2/13 (d) 2 b Which is the closest to 1? (a) -1 (b) 0.03 (c) 2 b What is the closest to -4/3 in 2/3, -5, 0.14? 0.14 Which is the closest to 0.1? (a) -1/46 (b) -0.5 (c) -2/7 (d) 5 a Which is the nearest to -3? (a) 3 (b) -1/9 (c) 0.5 (d) 22 b What is the nearest to 49 in -0.7, 5, -5? 5 What is the closest to -1 in 0.5, 4, 1? 0.5 Which is the nearest to -0.1? (a) 228 (b) 1/4 (c) 5 b Which is the closest to -121? (a) -5 (b) -0.1 (c) 3 (d) 0.5 a What is the nearest to 0.7 in -0.12, 1/5, -2, -1/4? 1/5 Which is the nearest to 1? (a) 0.2 (b) 1/2 (c) -1/6 (d) 1/6 b Which is the nearest to -0.4? (a) 5 (b) 704 (c) 2 c What is the closest to -1 in -0.5, 0.5, -36/29? -36/29 Which is the nearest to 1/9? (a) 19 (b) 2/3 (c) 3 (d) -4 b Which is the nearest to -0.2? (a) -2/5 (b) 0.5 (c) -13 (d) 4 a What is the nearest to -1 in 23, -0.3, -5, -17? -0.3 What is the nearest to -1 in 0.5, 1875, 1? 0.5 Which is the closest to -3? (a) 2 (b) -4 (c) 41 b What is the closest to 1/7 in 27, 2/15, -4/9? 2/15 What is the closest to 2 in 120, 0.4, 1, 5? 1 Which is the closest to 1? (a) 2 (b) 1 (c) -5 (d) 1.1 b Which is the closest to -4? (a) -1/5 (b) -2/3 (c) 2 (d) -0.3 b Which is the closest to 3/23? (a) -2/5 (b) -0.8 (c) -0.5 (d) 2 a Which is the nearest to 0.1? (a) 0 (b) -5/3 (c) 5 (d) 0.4 a What is the nearest to -0.1 in 0.4, 0.16, -0.06? -0.06 Which is the nearest to -2/5? (a) -5/3 (b) -3 (c) 0.5 (d) -3/4 d What is the closest to 3 in -0.03, 4.1, -2/3, 3? 3 What is the nearest to 1/2 in 3, 48, 1? 1 What is the closest to -1 in -1, 6, 0, -1/8? -1 Which is the nearest to 0.16? (a) -0.03 (b) 3 (c) -0.4 a What is the nearest to -192 in 5, 0.4, -0.4? -0.4 Which is the closest to 0? (a) 4 (b) 69.3 (c) 0.3 (d) -5 c What is the closest to -1 in -0.2, 2/15, 0, -2/25? -0.2 What is the nearest to -2/7 in 5, -2, 1, 2/23? 2/23 Which is the closest to 1? (a) 2 (b) 3 (c) -5 a What is the closest to -1/4 in -0.26, 5, 0.05? -0.26 Which is the nearest to -20? (a) -11 (b) -0.4 (c) -1/5 (d) 2/5 a Which is the nearest to 1/3? (a) 2/7 (b) 2 (c) 7/3 a Which is the closest to 1? (a) 0 (b) -3/2 (c) -0.27 (d) 0.4 d Which is the nearest to -3? (a) 4 (b) 0.5 (c) -1/8 (d) -4 d What is the closest to -2/9 in -4/5, 71, -0.2? -0.2 Which is the nearest to -1.9? (a) 0.4 (b) 2 (c) 0.3 (d) -0.08 d Which is the nearest to -11? (a) -2 (b) 0.11 (c) 2 a What is the closest to -2/7 in 52, -3, 2, -2/5? -2/5 What is the nearest to -0.035 in -1, -0.2, 10? -0.2 What is the closest to 0
{ "pile_set_name": "DM Mathematics" }
se 150*o**5/11 + 1570*o**4/11 + 2084*o**3/11 + 952*o**2/11 + 144*o/11 = 0. Calculate o. -9, -2/3, -2/5, 0 Suppose u**5 - 44*u**4 + 574*u**3 - 1604*u**2 - 5111*u - 2888 = 0. What is u? -1, 8, 19 Let 98*h**5/3 - 644*h**4 + 4618*h**3/3 - 1528*h**2/3 - 600*h + 544/3 = 0. Calculate h. -4/7, 2/7, 1, 2, 17 Find s, given that 5*s**4 - 95*s**3 + 385*s**2 - 505*s + 210 = 0. 1, 3, 14 Determine u so that -2*u**4/11 + 194*u**3/11 - 4982*u**2/11 + 13254*u/11 = 0. 0, 3, 47 What is x in 10*x**2 + 3716*x + 2226 = 0? -371, -3/5 Factor 2*x**3 + 4634*x**2 + 2681926*x - 2686562. 2*(x - 1)*(x + 1159)**2 Factor 4*o**4/5 + 7928*o**3/5 + 3928324*o**2/5. 4*o**2*(o + 991)**2/5 Suppose 150*p**3 - 1197*p**2 + 1026*p + 21 = 0. Calculate p. -1/50, 1, 7 Factor 4*w**3 - 8*w**2 - 28*w - 16. 4*(w - 4)*(w + 1)**2 Find x, given that -x**4/7 - 162*x**3/7 - 6397*x**2/7 + 13284*x/7 - 6724/7 = 0. -82, 1 Determine t so that 338*t**3/9 + 520*t**2/3 + 200*t = 0. -30/13, 0 Find r such that 4*r**5 - 24*r**4 - 28*r**3 = 0. -1, 0, 7 Solve 32*q**3 + 3056*q**2/3 - 1534*q/9 + 64/9 = 0 for q. -32, 1/12 Solve -20*i**4 + 28*i**3 + 72*i**2 - 112*i + 32 = 0. -2, 2/5, 1, 2 Factor 6*k**3/11 + 46*k**2/11 - 70*k/11 + 18/11. 2*(k - 1)*(k + 9)*(3*k - 1)/11 Determine f, given that 40*f**4 + 685*f**3 + 725*f**2 + 80*f = 0. -16, -1, -1/8, 0 Factor 4*r**2/3 - 56*r/3 - 128/3. 4*(r - 16)*(r + 2)/3 Factor -4*s**5 - 1088*s**4 - 72888*s**3 + 149056*s**2 - 75076*s. -4*s*(s - 1)**2*(s + 137)**2 Factor -t**5/4 - t**4 + t**3/2 + 3*t**2 - 9*t/4. -t*(t - 1)**2*(t + 3)**2/4 Determine b so that -25*b**4 - 65*b**3 - 20*b**2 + 20*b = 0. -2, -1, 0, 2/5 Factor -l**4 + 656*l**3 - 161376*l**2 + 17643776*l - 723394816. -(l - 164)**4 Suppose -2*h**3/9 - 28*h**2/9 + 136*h/9 - 16 = 0. What is h? -18, 2 Factor -4*r**4 + 28*r**3 + 12*r**2 - 92*r + 56. -4*(r - 7)*(r - 1)**2*(r + 2) What is x in -2*x**3/5 - 14*x**2 - 68*x/5 = 0? -34, -1, 0 Factor u**2/5 + 8*u + 76/5. (u + 2)*(u + 38)/5 Determine n so that 5*n**2 + 10*n - 15 = 0. -3, 1 Solve g**4/5 - 9*g**2/5 = 0 for g. -3, 0, 3 Factor -4*w**3 - 20*w**2 + 224*w + 240. -4*(w - 6)*(w + 1)*(w + 10) Factor 2*r**2 + 42*r - 44. 2*(r - 1)*(r + 22) Factor -5*g**5 - 40*g**4 - 105*g**3 - 70*g**2 + 100*g + 120. -5*(g - 1)*(g + 2)**3*(g + 3) Factor h**4 + 11*h**3 + 26*h**2 + 16*h. h*(h + 1)*(h + 2)*(h + 8) Factor -m**4/2 - 10*m**3 + m**2/2 + 10*m. -m*(m - 1)*(m + 1)*(m + 20)/2 Factor 10*m**4 - 6*m**3 - 24*m**2 - 8*m. 2*m*(m - 2)*(m + 1)*(5*m + 2) Determine c, given that c**2/2 - 515*c/2 - 1563 = 0. -6, 521 Find w, given that -2*w**2/23 - 1436*w/23 - 4290/23 = 0. -715, -3 Factor 2*u**2 - 68*u + 186. 2*(u - 31)*(u - 3) Find c such that 147*c**4/5 - 126*c**3/5 - 288*c**2/5 - 96*c/5 = 0. -4/7, 0, 2 Let -4*j**4 + 84*j**3 - 172*j**2 - 2964*j - 2704 = 0. Calculate j. -4, -1, 13 Factor -6*s**4/11 - 162*s**3/11 - 1170*s**2/11 - 1014*s/11. -6*s*(s + 1)*(s + 13)**2/11 Let 9*t**4 + 57*t**3 + 93*t**2 - 9*t - 54 = 0. Calculate t. -3, -1, 2/3 Factor -p**2 + 253*p + 2358. -(p - 262)*(p + 9) What is m in -2*m**4/5 + 858*m**3/5 - 90724*m**2/5 - 278208*m/5 - 186624/5 = 0? -2, -1, 216 What is u in 2*u**3/7 + 22*u**2/7 - 122*u/7 - 130 = 0? -13, -5, 7 Factor 5*o**3 - 940*o**2 + 43225*o + 90250. 5*(o - 95)**2*(o + 2) Factor 2*f**3/11 - 8*f**2/11 - 2*f + 60/11. 2*(f - 5)*(f - 2)*(f + 3)/11 Let 3*t**2 - 240*t - 492 = 0. What is t? -2, 82 Factor 3*v**2 + 3*v - 18. 3*(v - 2)*(v + 3) Suppose 2*y**3 - 14*y**2 = 0. Calculate y. 0, 7 Suppose 3*o**4 - 108*o**3 - 21*o**2 + 774*o - 648 = 0. What is o? -3, 1, 2, 36 Let -3*o**2 - 2664*o = 0. What is o? -888, 0 Let 5*g**4 + 35*g**3 - 170*g**2 - 200*g = 0. What is g? -10, -1, 0, 4 Suppose u**3/3 + 23*u**2/3 + 118*u/3 + 32 = 0. What is u? -16, -6, -1 Factor 2*i**4/9 + 16*i**3/9 - 20*i**2/3 + 64*i/9 - 22/9. 2*(i - 1)**3*(i + 11)/9 Factor 2*w**4/5 + 8*w**3/5 - 22*w**2/5 + 12*w/5. 2*w*(w - 1)**2*(w + 6)/5 Let -p**5 + 28*p**4 + 228*p**3 + 578*p**2 + 589*p + 210 = 0. Calculate p. -3, -2, -1, 35 Let -3*w**3 + 15*w**2 + 51*w - 63 = 0. Calculate w. -3, 1, 7 Factor 3*a**2 + 1794*a + 268203. 3*(a + 299)**2 Factor 30*n**2 + 14*n - 44. 2*(n - 1)*(15*n + 22) Let -4*d**4 - 72*d**3 - 124*d**2 + 72*d + 128 = 0. Calculate d. -16, -2, -1, 1 Suppose 3*o**3 - 39*o**2 - 99*o + 135 = 0. What is o? -3, 1, 15 Factor -28*c**3/3 + 62*c**2/3 - 40*c/3 + 2. -2*(c - 1)**2*(14*c - 3)/3 Suppose -4*t**5/5 + 56*t**4/5 - 44*t**3/5 - 104*t**2/5 = 0. What is t? -1, 0, 2, 13 Factor -15*g**2/2 - 2*g + 2. -(3*g + 2)*(5*g - 2)/2 Determine x so that -x**2 - 2196*x - 1205604 = 0. -1098 Factor -2*v**2 + 112*v + 1320. -2*(v - 66)*(v + 10) What is n in -3*n**2 - 396*n - 393 = 0? -131, -1 Factor -2*i**2 + 17628*i - 38843298. -2*(i - 4407)**2 Suppose -12*z**5 + 28*z**4 + 192*z**3 - 32*z**2 - 576*z - 320 = 0. Calculate z. -2, -2/3, 2, 5 Find o, given that -2*o**4 - 252*o**3 + 1304*o**2 - 804*o - 2358 = 0. -131, -1, 3 Solve -2*f**3/3 - 2*f**2/9 + 2*f/3 + 2/9 = 0 for f. -1, -1/3, 1 Determine j so that -j**5/7 - 8*j**4/7 - 22*j**3/7 - 4*j**2 - 17*j/7 - 4/7 = 0. -4, -1 Factor 3*k**2/2 - 24*k - 315/2. 3*(k - 21)*(k + 5)/2 Factor -2*l**2/9 + 40*l/9 - 200/9. -2*(l - 10)**2/9 Find u such that -u**4/4 - 3*u**3/4 - u**2/2 = 0. -2, -1, 0 Suppose -i**4/5 - 4*i**3/5 - 3*i**2/5 = 0. What is i? -3, -1, 0 Suppose 7*t**4/4 - 989*t**3/4 - 1875*t**2/2 - 727*t + 290 = 0. What is t? -2, 2/7, 145 Factor -3*t**3/7 + 9*t**2/7 + 75*t/7 + 9. -3*(t - 7)*(t + 1)*(t + 3)/7 Suppose 2*u**4/13 + 352*u**3/13 - 3282*u**2/13 + 680*u - 7400/13 = 0. Calculate u. -185, 2, 5 Determine x, given that -5*x**3 - 95*x**2 = 0. -19, 0 Determine b, given that -2*b**3/5 + 986*b**2/5 + 1978*b/5 + 198 = 0. -1, 495 What is b in -5*b**4 - 465*b**3 - 10090*b**2 + 33600*b - 23040 = 0? -48, 1, 2 Factor 3*g**4 - 48*g**3 + 234*g**2 - 336*g + 147. 3*(g - 7)**2*(g - 1)**2 Solve -4*h**5/9 + 190*h**4/9 - 548*h**3/3 + 3274*h**2/9 + 2072*h/9 = 0 for h. -1/2, 0, 4, 7, 37 Suppose -5*i**4/4 + 5*i**3/4 + 15*i**2/4 - 5*i/4 - 5/2 = 0. Calculate i. -1, 1, 2 Find x such that -4*x**2/3 - 32*x - 92/3 = 0. -23, -1 Solve 2*g**5/3 + 2*g**4/3 - 2*g**3/3 - 2*g**2/3 = 0. -1, 0, 1 Suppose 5*a**3 + 120*a**2 + 625*a - 750 = 0. What is a? -15, -10, 1 Find f, given that -4*f**5 + 14*f**4 + 84*f**3 + 94*f**2 + 28*f = 0. -2, -1, -1/2, 0, 7 Find h such that h**2/2 - 225*h + 50625/2 = 0. 225 Solve 3*r**3 - 93*r**2 - 963*r + 1053 = 0. -9, 1, 39 Find c, given that 5*c**3/4 - 5*c**2 = 0. 0, 4 Factor -2*g**2/3 - 2036*g - 1554486. -2*(g + 1527)**2/3 Suppose 4*d**2 - 68*d + 64 = 0. What is d? 1, 16 Factor 2*k**5/3 + 8*k**4 + 20*k**3 + 56*k**2/3 + 6*k. 2*k*(k + 1)**3*(k + 9)/3 Solve 2*r**4 - 4*r**3 - 198*r**2 = 0 for r. -9, 0, 11 Let -2*q**2/3 - 3944*q/3 - 1944392/3 = 0. Calculate q. -986 Factor 4*n**3 - 12*n**2 + 16. 4*(n - 2)**2*(n + 1) Determine n, given that 13*n**4/8 + 41*n**3/8 + 4*n**2 + n/2 = 0. -2, -1, -2/13, 0 Factor p**3 - 8*p**2 + 12*p. p*(p - 6)*(p - 2) Find x such that -x**2/2 + 49*x + 99/2 = 0. -1, 99 Determine f so that -3*f**2 + 135*f - 1050 = 0. 10, 35 Factor -2*b**2 - 106*b - 104. -2*(b + 1)*(b + 52) Factor 3*m**4 + 81*m**3 + 225*m**2 + 219*m + 72. 3*(m + 1)**3*(m + 24) Solve 2*t**3/13 + 320*t**2/13 - 646*t/13 + 324/13 = 0. -162, 1 Determine c, given that -8*c**3 + c**2 = 0. 0, 1/8 Let 2*x**5/17 - 22*x**4/17 + 4*x**3 - 28*x**2/17 - 70*x/17 + 50/17 = 0. What is x? -1, 1, 5 Determine z, given that 51*z**2/8 - 45*z/8 - 3/4 = 0. -2/17, 1 Factor -4*o**5 + 8*o**4 + 144*o**3 + 344*o**2 + 308*o + 96. -4*(o - 8)*(o + 1)**3*(o + 3) Factor -12*u**3 + 519*u**2 - 633*u + 126. -3*(u - 42)*(u - 1)*(4*u - 1) Solve 8*b**4/21 + 22*b**3/21 - 2642*b**2/7 + 660*b/7 = 0. -33, 0, 1/4, 30 Let 5*g**2 + 780*g + 1540 = 0. Calculate g. -154, -2 Determine k so that -8*k**2 - 6*k = 0. -3/4, 0 Factor -2*n**2/19 - 32436*n/19 - 131511762/19. -2*(n + 8109)**2/19 Factor 2*w**2/7 - 2012*w/7 - 2014/7. 2*(w - 1007)*(w + 1)/7 Factor 5*b**4 + 120*b**3 + 830*b**2 + 1320*b + 605. 5*(b + 1)**2*(b + 11)**2 Factor 5*m**5 - 15*m**4 - 5*m**3 + 55*m**2 - 60*m + 20. 5*(m - 2)*(m - 1)**3*(m + 2) Factor m**5 + 21*m**4 + 168*m**3 + 628*m**2 + 1056*m + 576. (m + 1)*(m + 4)**2*(m + 6)**2 Solve -4*t**3 + 556*t**2 - 19040*t - 19600 = 0 for t. -1, 70 Let 2*y**4 + 62*y**3 + 678*y**2 + 3058*y + 4840 = 0. Calculate y. -11, -5, -4 What is o in 4*o**2/9 - 2*o/9 -
{ "pile_set_name": "DM Mathematics" }
nt from tttctttttttttttttt. 7/9 Four letters picked without replacement from uuhusufhuh. What is prob of picking 1 u, 2 h, and 1 f? 1/14 What is prob of picking 1 d and 1 m when two letters picked without replacement from {g: 1, m: 6, f: 4, h: 1, k: 3, d: 1}? 1/20 Four letters picked without replacement from ararraaaaraaaraaraa. What is prob of picking 3 r and 1 a? 65/969 Three letters picked without replacement from {o: 5, t: 15}. What is prob of picking 3 t? 91/228 Two letters picked without replacement from {d: 5, v: 11}. Give prob of picking 2 v. 11/24 Calculate prob of picking 1 f, 1 g, and 1 r when three letters picked without replacement from ffffrrgrlxzrlrrrxffr. 4/95 Two letters picked without replacement from wwwccwwivccicccicc. Give prob of picking 1 i and 1 w. 5/51 Calculate prob of picking 1 m and 1 l when two letters picked without replacement from lyymylssqdlllqs. 1/21 Calculate prob of picking 3 c when three letters picked without replacement from {c: 7}. 1 What is prob of picking 3 j and 1 m when four letters picked without replacement from {m: 7, j: 7}? 35/143 Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {u: 3, f: 8}. 24/55 Two letters picked without replacement from wubappual. Give prob of picking 1 p and 1 u. 1/9 Two letters picked without replacement from uiyyiyiiyyyyii. What is prob of picking 1 y and 1 i? 6/13 Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {w: 2, v: 2, y: 2, i: 3, k: 2, s: 1}. 1/33 Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {t: 2, s: 10}. 10/33 Four letters picked without replacement from {e: 1, d: 1, t: 1, q: 1, n: 1}. What is prob of picking 1 n, 1 e, 1 t, and 1 q? 1/5 Four letters picked without replacement from oeeeoeeoeo. What is prob of picking 4 e? 1/14 Calculate prob of picking 1 x, 1 k, and 1 o when three letters picked without replacement from qozxzqzxxxqvxoxqxk. 7/408 What is prob of picking 2 c when two letters picked without replacement from {c: 15, r: 4}? 35/57 Two letters picked without replacement from thuhthtcthetce. Give prob of picking 2 h. 6/91 What is prob of picking 1 x and 1 m when two letters picked without replacement from {x: 1, m: 2, k: 1}? 1/3 What is prob of picking 1 o and 1 i when two letters picked without replacement from ioioiiiiioiooi? 45/91 Three letters picked without replacement from {a: 2, m: 1, h: 3, w: 1, v: 3, x: 2}. Give prob of picking 2 x and 1 a. 1/110 Four letters picked without replacement from qqqqqqqqqbqqb. Give prob of picking 1 b and 3 q. 6/13 Calculate prob of picking 2 h when two letters picked without replacement from rhrhchehh. 5/18 Four letters picked without replacement from iiiaaabaiamiii. Give prob of picking 3 i and 1 b. 5/143 Calculate prob of picking 1 p and 2 t when three letters picked without replacement from jtjtajapajp. 2/165 Calculate prob of picking 4 l when four letters picked without replacement from {m: 2, l: 4}. 1/15 What is prob of picking 2 a when two letters picked without replacement from rhaakajkkjkahan? 2/21 Two letters picked without replacement from {k: 1, q: 4, e: 2, b: 6}. What is prob of picking 1 b and 1 e? 2/13 What is prob of picking 1 y and 1 m when two letters picked without replacement from rmrrtty? 1/21 Three letters picked without replacement from ggvvgvvggvvvgvvgvgg. What is prob of picking 3 v? 40/323 Three letters picked without replacement from {a: 4, e: 4, u: 2}. Give prob of picking 1 e and 2 a. 1/5 Two letters picked without replacement from {p: 6, x: 2}. Give prob of picking 2 x. 1/28 Calculate prob of picking 2 a when two letters picked without replacement from oaaaaooa. 5/14 Three letters picked without replacement from {n: 17, s: 3}. What is prob of picking 2 s and 1 n? 17/380 Two letters picked without replacement from zwzwe. Give prob of picking 2 w. 1/10 Calculate prob of picking 4 c when four letters picked without replacement from {c: 7}. 1 Three letters picked without replacement from {n: 2, a: 1, r: 1, m: 1, o: 1, w: 2}. What is prob of picking 2 w and 1 n? 1/28 Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {v: 7, e: 7}. 7/13 What is prob of picking 1 o and 1 y when two letters picked without replacement from {o: 7, y: 1}? 1/4 Calculate prob of picking 2 q when two letters picked without replacement from {q: 7}. 1 Four letters picked without replacement from {c: 5, y: 3, d: 5}. What is prob of picking 3 d and 1 y? 6/143 Two letters picked without replacement from {u: 1, r: 2, a: 7, g: 4}. Give prob of picking 1 g and 1 r. 8/91 Two letters picked without replacement from iiyiyiqiyyyqyiiqiyqy. Give prob of picking 2 i. 14/95 Three letters picked without replacement from {z: 1, j: 1, x: 1, d: 1, b: 1}. What is prob of picking 1 x, 1 b, and 1 j? 1/10 Calculate prob of picking 2 s when two letters picked without replacement from stttttssssqssts. 4/15 Four letters picked without replacement from {o: 1, l: 1, u: 2, k: 6, s: 5, f: 1}. Give prob of picking 1 f, 1 k, 1 u, and 1 s. 3/91 Three letters picked without replacement from czyycyzcyhgyzcyyg. Give prob of picking 1 z and 2 g. 3/680 Calculate prob of picking 3 f and 1 p when four letters picked without replacement from {w: 6, e: 8, p: 1, f: 3}. 1/3060 Four letters picked without replacement from {h: 2, k: 4, w: 3}. Give prob of picking 1 h, 1 w, and 2 k. 2/7 Two letters picked without replacement from asnsiassnisennsas. Give prob of picking 2 s. 21/136 What is prob of picking 4 q when four letters picked without replacement from {o: 1, q: 14}? 11/15 Calculate prob of picking 1 o and 2 b when three letters picked without replacement from bzzqoooorqrssqbbbs. 1/34 Four letters picked without replacement from {s: 1, g: 5, o: 2, z: 1, f: 4, r: 2}. What is prob of picking 1 o, 1 z, and 2 f? 4/455 Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {q: 2, h: 4, e: 3, g: 2, a: 2, p: 1}. 4/91 Calculate prob of picking 2 f, 1 c, and 1 a when four letters picked without replacement from fuucufaaffu. 2/55 What is prob of picking 1 a and 1 m when two letters picked without replacement from {a: 3, w: 1, m: 1}? 3/10 Two letters picked without replacement from {b: 6, n: 3, a: 4, w: 4}. What is prob of picking 2 w? 3/68 Four letters picked without replacement from kxxkxxkxkvxkkkxkkkkk. What is prob of picking 1 v and 3 x? 7/969 Calculate prob of picking 3 r when three letters picked without replacement from {a: 2, r: 4}. 1/5 Three letters picked without replacement from yyyyywyyywyyyyw. What is prob of picking 3 w? 1/455 Two letters picked without replacement from lllzlzlz. What is prob of picking 2 l? 5/14 Three letters picked without replacement from {g: 4, p: 1, o: 3, r: 1, n: 4, t: 4}. Give prob of picking 1 o and 2 g. 9/340 What is prob of picking 1 j, 2 z, and 1 q when four letters picked without replacement from qzqjzjzz? 12/35 Two letters picked without replacement from scssswwwcwskssswws. What is prob of picking 1 s and 1 k? 1/17 Calculate prob of picking 2 d when two letters picked without replacement from ynnngngndndfnjgjj. 1/136 What is prob of picking 2 q when two letters picked without replacement from {h: 8, o: 2, x: 1, q: 7}? 7/51 Two letters picked without replacement from nnnnnnnnnnnnnnnenn. What is prob of picking 1 e and 1 n? 1/9 Two letters picked without replacement from hlllbflnflflnb. Give prob of picking 1 l and 1 h. 6/91 Three letters picked without replacement from aaallalaaaaaaaaaaaaa. What is prob of picking 3 a? 34/57 Calculate prob of picking 1 n and 2 y when three letters picked without replacement from {z: 1, q: 1, n: 3, y: 2, g: 2, w: 10}. 1/323 Two letters picked without replacement from {f: 5, w: 2, o: 4}. What is prob of picking 2 o? 6/55 Two letters picked without replacement from bxxbbxbbxbxxb. What is prob of picking 1 x and 1 b? 7/13 Calculate prob of picking 3 g when three letters picked without replacement from gfyygffgyygg. 1/22 Calculate prob of picking 1 h, 1 z, and 1 s when three letters picked without replacement from {i: 4, z: 3, o: 1, s: 4, h: 1, r: 5}. 1/68 Calculate prob of picking 1 n, 2 g, and 1 i when four le
{ "pile_set_name": "DM Mathematics" }
olve 4*z - 11 = 5*x, -4*x = -2*z + 5 + 5 for x. -3 Solve 0 = j - 3*s + 12, -5*j + 0*j = 5*s for j. -3 Solve -d = 2*j - 3, -5*d = -17*j + 12*j + 45 for j. 4 Solve -5*b + 2*u = 19, -u + 2*u + 3 = 0 for b. -5 Solve 8*f - 12*f + 2*h - 2 = 0, -16 = -3*f - 2*h for f. 2 Solve j = -2*f - 2*j, 2 = -4*f - 5*j for f. -3 Solve -4*w - 8 = 0, 0 = v + 2*w + 6 + 2 for v. -4 Solve 3*i = 2*c - 16, i - 2*c + 3 + 5 = 0 for i. -4 Solve 10 = -5*i - 2*d, 25 = 2*i - i - 5*d for i. 0 Solve -3 + 2 = -2*c - 3*d, -5*c + 4*d = -37 for c. 5 Solve 3*h - 5*p - 20 = 0, 0*h + p = -4*h + 19 for h. 5 Solve -4*u + 9 = -m, -4*m = 6*u - u + 15 for u. 1 Solve 2*i - 4*o - 8 = 0, 5*i + 44 = -3*o + 25 for i. -2 Solve -3*i - 23 = -2*i + 5*t, -2*t = 8 for i. -3 Solve -2*b - 4*o = -2, 6*o - 29 = 4*b + 3*o for b. -5 Solve -4*z = 2*d - 5 + 1, -3*z - 5*d + 17 = 0 for z. -1 Solve -4*j = 3*c - 7, -2*j - 17 = 3*c - 4*j for c. -3 Solve 0 = 2*c + 2*b + 10, 2*b = -3*c + 23 - 35 for c. -2 Solve -c + 3*v = -3*c + 8, 0 = 3*v - 12 for c. -2 Solve 4*q + 1 = -i - 3, -2*q - 2 = 2*i for q. -1 Solve 0 = -z + 3*r - 13, z + 27*r = 23*r + 29 for z. 5 Solve 4*s - 4*n = -6*n + 22, 5*n = 4*s - 1 for s. 4 Solve -13*r + 12 = -8*r - 3*c, -5*c = 20 for r. 0 Solve 0 = l + y - 20 + 14, 2*y - 18 = -5*l for l. 2 Solve j - 8 = -4*t + 8, j + 14 = 2*t for t. 5 Solve -2*b = 3*v + 8, 0 = 2*v + v - 3*b + 18 for v. -4 Solve r - 2*a - 1 = 0, 4*r + 3*a - 4 + 0 = 0 for r. 1 Solve -3*q - q - 17 = -5*p, 0 = 3*p - 2*q - 9 for p. 1 Solve 0 = -2*n + 3*b - 3, 4*n = 5*b + 2 - 5 for n. 3 Solve 0 = -4*z + 2*l + 6, 5*z + 4*l + 1 = -24 for z. -1 Solve -5*d - j + 5*j = -15, -j - 5 = 0 for d. -1 Solve -3*z - 27 = -0*z + 3*j, -4*j = -5*z for z. -4 Solve -4*v - 195*x + 2 = -193*x, -5*v - 5 = 5*x for v. 2 Solve 0 = 3*k + 4*l + 70 - 74, 3*l - 28 = 4*k for k. -4 Solve -5 = 4*k + j + 14, 4*k - 3*j = -23 for k. -5 Solve -6*x - 15 = -11*x, m = -5*x + 18 for m. 3 Solve 2*o = -5*b + 8, -5*o - 1 = b + 2 for b. 2 Solve 0 = 3*t - w - 7, -3*t + 3*w + 9 = -0*t for t. 2 Solve -2*w - 2 = 4*f, 2*w + f - 7 = -0 for w. 5 Solve -2*r - 3*k = -0*k - 8, 0 = -k + 4 for r. -2 Solve -2*n + 6*w - 11*w - 4 = 0, n + 3*w + 3 = 0 for n. 3 Solve -2*g + 5*f - 40 = 2*g, 5*g - 5*f = -45 for g. -5 Solve -u - 4 = s, 48*u - 43*u + 20 = -2*s for s. 0 Solve -5*g - 11 = 4*b, 4*b = -3*g - 15 + 2 for g. 1 Solve -3*h + 4*r + 26 = 8*r, 0 = 4*h + 5*r - 33 for h. 2 Solve 2*q = 4*j - 3*j - 5, 5*j = 5 for q. -2 Solve 0 = k - 5*s - 20, -10 = -3*k + 4*s + 6 for k. 0 Solve 0 = 4*w + 2*p - 26, 3*w + 79*p - 27 = 76*p for w. 4 Solve -5*u = 2*b + 25, 2*b - 5*u + 28 = 33 for b. -5 Solve r - 6 = -2*y, -3*r + 0*r + 14 = 2*y for r. 4 Solve 5*c - u + 2 + 8 = 0, 2*c - 13 = -3*u for c. -1 Solve -4*j - 20 = 5*d, -48*d - 16 = -44*d - 2*j for d. -4 Solve -14 = 5*h + 4*q - 0, -h + 4*q + 2 = 0 for h. -2 Solve -v - 2*w + 7 = 21, 5*w = -2*v - 33 for v. -4 Solve -49*u + a + 4 = -46*u, 0 = -3*a + 15 for u. 3 Solve -n + 5*n + 2*l = -24, 0 = -5*n + 2*l - 12 for n. -4 Solve 5*r - 4 = -5*d - 19, 3*d - r = 3 for d. 0 Solve 2*z - 3*g = -42 + 36, 2*z - g = -6 for z. -3 Solve 4*l + 13 = -m, -3*m - 28 = -5*l - 57 for l. -4 Solve -9*l + 35 = -7*l + 5*z, 5*l - 2*z - 15 = 0 for l. 5 Solve 6*c = 2*i + 12, -9*i + 4*i = c + 14 for c. 1 Solve -33*m + 30*m + 3*r = -24, 2*r = 4*m - 24 for m. 4 Solve -5*p + z = 4*z - 10, -5*z = -5*p + 50 for p. 5 Solve 20*s - 4*p = 19*s + 14, s + 5*p = -13 for s. 2 Solve -3*n + 7*n - 4*a = -4, 3*n = -a - 15 for n. -4 Solve 0*j - 15 = j + 4*z, -3*z = 9 for j. -3 Solve -74*b = -78*b + 16, 0 = 2*r - 4*b + 16 for r. 0 Solve 3*c + 22 = -5*u, -c - 4*c - 2*u - 24 = 0 for c. -4 Solve f = -2*h - 8 + 1, 2*h + 4 = 0 for f. -3 Solve -4*b + 12 = 4*n, 10*n = 12*n - 4*b - 12 for n. 4 Solve 4*d - n = -2*n - 2, -5*n + 10 = 0 for d. -1 Solve -2*k - 4 = s, -2*k = s - 6*k - 8 for s. 0 Solve -3*h + 10 = 4*b + 18, 0 = 2*b + 10 for h. 4 Solve 3*m + 12 = 0, 0 = -383*y + 378*y + 5*m for y. -4 Solve 32 = -4*z - 5*w, -3*z - 3 = -3*w - 6 for z. -3 Solve 2*p = -4*d + 16, 4*d + 18*p = 22*p + 28 for d. 5 Solve -2*w = 4*c - 20, 3*w - 5*w - 16 = -5*c for w. 2 Solve 3*w + 2*m = 19, -26 = -2*w + 22*m - 26*m for w. 3 Solve -2*w - 1 = n + 5, 10 = -2*w for n. 4 Solve 2*x - 7*x - 20 = 0, 2*d - 3*x - 16 = 0 for d. 2 Solve 0 = 2*k - 0*k - 3*n - 4, -2*k = -4*n - 4 for k. 2 Solve -5*s + 2*k + 187 = 208, 0 = 5*s + 5*k + 35 for s. -5 Solve -5*n + 6 - 16 = -4*y, 5*y - 6 = 3*n for n. -2 Solve 7 = 2*c - 7, -3*c + 17 = -n for n. 4 Solve -4*a + 2*k = -3*a + 3, a + k - 6 = 0 for a. 3 Solve -2*j = 0, -2 - 1 = -3*b - j for b. 1 Solve -5*s - 8 = 3*g, 2*g - 2*s + s - 12 = 0 for g. 4 Solve -3*r = -2*j - 2*j - 7, 0 = -r - 3 for j. -4 Solve -l = -3*y - 2, -6*y - 4*l - 20 = -4*y for y. -2 Solve -4*o = -4*h, 0 = 5*o + 5*h - 9*h - 3 for o. 3 Solve 3*l = 9*a - 6*a, -5*l + 4*a - 5 = 0 for l. -5 Solve 3*b + q - 1 = 0, 7*b - 9*b = q + 1 for b. 2 Solve -k - 3*u + 19 = 0, 5*u = 3*k - 6 + 19 for k. 4 Solve -3*q = 5*w - 0 + 1, 5*w - 11 = 3*q for q. -2 Solve -l - r = -3, r - 2*r + 1 = 2*l for l. -2 Solve 3*s - 5*i = 37, 0 = -308*s + 313*s + i - 15 for s. 4 Solve -4*g = 2*h + 22, 2*g = 4*h + 39 - 65 for h. 3 Solve -3*w - l + 274 = 268, l + 2 = w for w. 2 Solve -8*l + 3 = -5*l + 5*u, -3 = -3*l + 4*u for l. 1 Solve 3*a - 5 = 5*q, -2*a = -3*a + 2*q + 1 for a. 5 Solve -5*n - 2*p = -16, -5*n - 2 = 3*p - 7*p for n. 2 Solve 5*d - 2 + 1 = -j, -3*d + 3*j + 15 = 0 for d. 1 Solve -4*x + 3 - 8 = -5*i, -i = 3*x - 20 for x. 5 Solve 4*p - 9*p = 4*g + 36, 8 = -4*p + 2*g for p. -4 Solve 3*x + 3 = 0, 0 = -o + 4*x - 5 + 13 for o. 4 Solve -1 = -s + r, 1186*r = -4*s + 1187*r - 8 for s. -3 Solve -2*w + 3*x + 1 = 7, 5*x = 4*w + 10 for w. 0 Solve 0 = 6*m - 4*m - 4*i, 2*m - 16 = -4*i for m. 4 Solve 31 = -y + 26, -2*k + 17 = -5*y for k. -4 Solve -2*a - 2 = -q - 3, a - 4*q = -10 for a. 2 Solve 0 = 5*j, 25*r = 20*r - 3*j - 10 for r. -2 Solve w - 4*d = 16, -3*w + 5*w + 8 = -2*d for w. 0 Solve -6*w + 9 = 4*q - 17, -6 = -q - w for q. 5 Solve -4*u + 2*f - 30 = 0, 4*u + 12 - 2 = -2*f for u. -5 Solve 2*q + 3 = -5*r, -2*r + 0 = -5*q + 7 for r. -1 Solve 10*u = -5*r + r - 20, -3*u - 4*r = -8 for u. -4 Solve -4*o - 5*g + 25 = 0, 2*o - 2*g = -2*o - 10 for o. 0 Solve 5*r - 193*n = -192*n, -r = -5*n for r. 0 Solve -4*k - 14*d + 4 = -16*d, 3*k + 5*d = -23 for k. -1 Solve 2*y - 13 = 7*y + 2*v, 2*y + v + 6 = 0 for y. -1 Solve 9*k + q - 9 = -3, -15 = -3*k + 4*q for k. 1 Solve 0 = -55*r + 50*r + 5*k + 15, 5*k = 2*r - 18 for r. -1 Solve -5*y + y + 5*r - 5 = 0, 0 = -y + 3*r - 10 for y. 5 Solve 7*b + 25 = 2*b + 5*m, 0 = -5*m for b. -5 Solve o = 2*j - 165 + 149, -4*j + 20 = o for j. 6 Solve 4*c = 6*c - 10, -2*l - 5*c = -33 for l. 4 Solve 0 = 2*r + 6, 2*w + w - 6 = 2*r for w. 0 Solve -4*w = -4*r - 4, 2*r = w - 5*w - 14 for w. -2 Solve -15 = -3*d - 3*q, -22*d + 16*d - 2*q + 18 = 0 for d. 2 Solve 0*q + 2*t + 8 = 2*q, -3*q - 4*t + 5 = 0 for q. 3 Solve 2*y + 18 = 5*l + 1, -2*l + 2 = -2*y for l. 5 Solve -6 = -s + 2*s + 3*z, s + 4*z = -7 for s. -3 Solve 2*f + 5*j = 3 - 2, 2*f - 4*j - 10 = 0 for f. 3 Solve 0 = 2*v + 2*x - 5*x + 20, 5*v - 3*x = -32 for v. -4 Solve 3*s - 2 = 5*z + 6, -z - 4 = 0 for s. -4 Solve -4*g + 9 = 2*k + 1, 4*g = 16 for k. -4 Solve 0 = -3*q + 7*p - 2*p + 19, -3*q + 4*p = -14 for q. -2 Solve -2 = -2*n - 4*o, 5*n - 6*n = -4*o - 7 for n. 3 Solve -4*q - 2*g = -26, 5*q - 5 = 3*g - 0 for q. 4 Solve 13*f = 16*f - 5*b + 1, 31 = -5*f + b for f. -7 Solve 12 = 3*u, -11 = -3*k - u + 2*u for k. 5 Solve g - 1 = 2*y, g - 5*y + 6 - 1 = 0 for g. 5 Solve 0 = -5*m + y - 7, -2*m + 0*y + 2 = 2*y for m. -1 Solve -4*a = -4*u + 32, -6*a - 12 = -2*a for u. 5 Solve -3*q - 9*n - 34 = -4*n, 5*q + n - 2 = 0 for q. 2 Solve -10 = 3*o + a, 3*a = o - 2*a + 30 for o. -5 Solve -3*j + 17*x - 22*x = 21, -5 = j + x for j. -2 Solve 5*i = -3*y - 28, -3*y - 15 = 2*i + 2*y for i. -5 Solve 0 = 3*x - 4*h - 19, -4*x - 5*h - 21 = -5*x for x. 1 Solve 25*d - 23*d = -3*o - 3, 4*d + 17 = 5*o for d. -3 Solve 0 = 3*n - 6*q + 5*q - 10, -4*n + 5*q + 28 = 0 for n. 2 Solve -9*n - k = -13*n - 2, 5*n - 2*k + 7 = 0 for n. 1 Solve 0 = 4*q - 4*l + 8, 8*l = 4*q + 11*l + 8 for q. -2 Solve -28 = -2*b - 4*q, 5*q - 6 = 19 for b. 4 Solve 0 = -4*a + 4*d + 16, -2*a + 0*a + 7 = -3*d for a. 5 Solve -4*z = 5*g, -3*g + 17*z - 21*z = -8 for g. -4 Solve -2*f + 3*b = 2*b + 1
{ "pile_set_name": "DM Mathematics" }
uppose 4*h = 2*q + 6*h - 10, 3*h = 5*q - 1. Let s(b) = b**3 - 2*b + 1. Let n be s(q). Suppose n*g = 55 - 0. List the prime factors of g. 11 Let u = -3 - -7. Suppose 45 = n + u*n. What are the prime factors of n? 3 Suppose -2*z = -z. Let p(a) = z*a**2 - 3 + 0*a - 2*a - 4*a**2 - a**3. What are the prime factors of p(-4)? 5 Let p(t) = -9*t - 14. What are the prime factors of p(-7)? 7 Let c(u) = u**2 + 6*u - 9. Let m be c(-9). Let l be 8/3*m/4. Suppose -l = -t - 2*t. List the prime factors of t. 2 Let d = 34 - -1. What are the prime factors of d? 5, 7 Suppose x + 3*g = 16, -x + 19 = 3*x + 3*g. Let c = -7 - -12. Suppose c - x = 2*k. What are the prime factors of k? 2 Suppose -5*a + 2*a = 0. Suppose 0*q + q - 3 = a. Suppose 0 = -4*s + 31 - q. List the prime factors of s. 7 Let q be (-6848)/(-56) + (-2)/7. Suppose -2*u + q - 30 = 0. What are the prime factors of u? 2, 23 Let z(n) = -n**3 + 2*n**2 + 2*n - 1. Let q be (2 + 3)*4/10. What are the prime factors of z(q)? 3 Let p = -6 + 17. Suppose -3*z = 2*l - p, z - 5*z = l - 18. What are the prime factors of z - -1*2/1? 7 Suppose -2*y = -3*o - 0*o - 17, -3*y - 7 = 2*o. Let i = 11 + o. List the prime factors of i. 2, 3 Let f = 143 - 76. Suppose -3*b = -41 - f. What are the prime factors of b? 2, 3 Let o(f) = f**3 + 13*f**2 - 10*f - 26. List the prime factors of o(-13). 2, 13 Let w = -32 + 54. Let d = -4 + w. What are the prime factors of d? 2, 3 Let t be (4/2)/(-1 - 0). Let i be (-4 - -8)*(t - -7). Suppose -4*g + i + 44 = 0. What are the prime factors of g? 2 Suppose 3*b + 19 = 4*l, l - 27 = 4*b - 4*l. Let p = 18 + b. List the prime factors of p. 5 Let w be (6/15)/(3/15). Suppose -w*f = -m + 24, 3*m - 2*f = -m + 108. List the prime factors of m. 2, 7 Suppose -n - 366 = -4*v, 0*v + 283 = 3*v - 5*n. What are the prime factors of v? 7, 13 Let a(m) = 0*m**2 - 8 + 6*m + 10*m - m**2. List the prime factors of a(13). 31 Let w = 0 - -2. Suppose -13 = -w*y - 5. Suppose -y*x = -9*x + 35. List the prime factors of x. 7 Let j = -112 - -57. Let d = 78 + j. What are the prime factors of d? 23 Let z = -7 - -23. Let b = 0 + z. List the prime factors of b. 2 Let r = 19 + -9. List the prime factors of r. 2, 5 Suppose 3*n - 2*i = -64 + 284, 0 = 4*n - i - 285. List the prime factors of n. 2, 5, 7 Suppose 2*f = -f - 18. List the prime factors of (-2)/4 + (-57)/f. 3 Let b(s) = s**2 + 2*s - 7. Let r be ((-7)/(-4))/((-3)/12). Let q be b(r). Suppose -q = -4*m - 0*w + 2*w, 0 = -w + 2. List the prime factors of m. 2 What are the prime factors of ((-11)/(66/4))/(6/(-1647))? 3, 61 Let o be 2/(-3) + 60/9. Let l = o + 1. Let p = 23 - l. List the prime factors of p. 2 Let c = 37 - -75. List the prime factors of c. 2, 7 Let h = 17 - 8. Suppose 5*i = -3*j - 1, 2*j + 3*j - h = -3*i. Suppose -3 - 6 = -j*c. List the prime factors of c. 3 Let g = -14 - -57. List the prime factors of g. 43 List the prime factors of (-1043)/(-28) - (-2)/(-8). 37 Suppose 5*z - z - 3*f = -36, 5*z + 76 = -4*f. Let t = z + 19. What are the prime factors of t? 7 Let k(n) = -n + 11. List the prime factors of k(6). 5 Suppose 0 = 7*z - 214 - 248. List the prime factors of z. 2, 3, 11 Let z = 9 - 10. What are the prime factors of (51/12)/(z/(-4))? 17 Let k(u) be the second derivative of u**4/12 - 7*u**3/6 + 9*u**2/2 + 2*u. What are the prime factors of k(6)? 3 Let w(l) be the first derivative of 41*l**3/3 - l**2/2 - 2. List the prime factors of w(-1). 2, 3, 7 Suppose 0 = 3*k + 151 + 83. What are the prime factors of k/(-4) + 5/(-10)? 19 Suppose 0 = -8*f + 1537 + 783. List the prime factors of f. 2, 5, 29 Let s(i) = -i**3 - 5*i**2 + 7*i + 9. Let u be s(-6). Suppose 0*q = u*q - 75. List the prime factors of q. 5 Let i(u) = -4*u + 4. Let t be i(-5). Let c = 44 - t. List the prime factors of c. 2, 5 Let f(p) = p**3 + 9*p**2 - 8*p - 8. What are the prime factors of f(-7)? 2, 73 Suppose 3*l - 14 = 2*l - 3*i, 0 = -l + 5*i - 10. Suppose -a - 5*u - 27 = 0, -4*a + l*u + 17 = -0. What are the prime factors of (12/14)/(a/(-14))? 2, 3 Let v(x) = -4*x - 7. Let o(n) = -n**2 + 10*n - 10. Let t be o(8). Let c be v(t). Let d = 43 + c. What are the prime factors of d? 2, 3 Suppose -2*r + 129 = r. What are the prime factors of r? 43 Let b(m) = -m**3 - 2*m**2 + 3*m + 1. Let j be b(-3). What are the prime factors of (-16)/(1/j*-1)? 2 Let f(o) = 4*o**3 - 5*o**2 + 2*o. List the prime factors of f(3). 3, 23 Let d = -20 + 45. Let k = -12 + d. List the prime factors of k. 13 Let f(n) = n**2 + 6*n + 1. Let s be f(-5). What are the prime factors of ((-18)/s)/(2/8)? 2, 3 Let v(l) = -l**3 + 11*l**2 + 1. Let y be v(11). What are the prime factors of (1 + y)/((-4)/(-14))? 7 Suppose -11*h = -9*h - 102. What are the prime factors of h? 3, 17 Suppose 4 - 14 = 5*j. What are the prime factors of j/3*(-2 + -7)? 2, 3 Suppose 4*j + 2*m + 7 - 85 = 0, -4*j - 3*m + 83 = 0. Suppose 2*b + 4*d = 28, j = 3*b + 4*d - 15. List the prime factors of b. 2 Let m(j) = j**3 - 7*j**2 + 8*j - 9. Suppose 0 = -2*x - 3*x - 15. Let g be (-4)/(5/x - -1). List the prime factors of m(g). 3 Suppose -8*b = 2*b - 640. List the prime factors of b. 2 Let p = -4 + 3. List the prime factors of 3*p - (-4 + -15). 2 Let j(c) = c**3 - 4*c**2 - 4*c - 5. Let h be j(5). Let v be (-5 + 3)*(h - 9). Let w = -12 + v. What are the prime factors of w? 2, 3 Let n(j) = -j**3 + 14*j**2 + j - 8. What are the prime factors of n(14)? 2, 3 Let a = 0 - 3. Let i = 4 + a. Suppose -y - 6*v = -v + i, -3*y + 5*v + 37 = 0. What are the prime factors of y? 3 Suppose -6 = x + 2*z, -x + 2*z - 2 = 3*z. Suppose 15 = m + 4*d + 3, 4*m - 2*d = -6. Suppose m = x*i + i - 24. What are the prime factors of i? 2 Let b be (3 + -11)/((-2)/24). Let f = b - 67. What are the prime factors of f? 29 Suppose 0*u - 36 = -3*u. Suppose 3 - u = -3*n. Suppose -7 = -2*d + n. List the prime factors of d. 5 Let l = 5 + 71. What are the prime factors of l? 2, 19 Suppose 3*f = 4*f. Let i(o) = -o + 43. List the prime factors of i(f). 43 Let f = 6 + -5. Let t = 2 - f. What are the prime factors of 4 + (t - (3 + -2))? 2 Let h = 153 + -96. Suppose 5*i = 12 - h. List the prime factors of ((-6)/(-9))/(-2)*i. 3 Let d be (-9)/(-1 - (-1)/(-2)). Suppose j + 3*x = 3, 3*j - 7*x - 37 = -2*x. List the prime factors of (22/3)/(d/j). 11 Let a(j) = -j**3 - j**2 + 8*j + 16. List the prime factors of a(-5). 2, 19 Suppose 4*g + 17 = 5*m, 5*m + 0*g = -2*g - 1. List the prime factors of (m - -1)/(4/20). 2, 5 Suppose 0 = -g - 2*g + 33. Let q = -9 + g. Suppose -20 = -q*r + 7*r, -2*m + 5*r = -30. What are the prime factors of m? 5 Let z(b) = 12*b - 16. Let k(h) = h + 1. Let l be k(4). List the prime factors of z(l). 2, 11 Let w = -9 + 61. Let l = 100 - w. What are the prime factors of l? 2, 3 Suppose 3*w = 2*w + 19. List the prime factors of w. 19 Let z = 51 + -3. Suppose 4*q + 0*q - z = 0. What are the prime factors of q? 2, 3 Let y = -20 + 85. What are the prime factors of y? 5, 13 Let f(v) = -v**3 + 8*v**2 - 9*v + 2. Let b be f(6). Let i = b - 5. Suppose -6*a + i = -3*a. What are the prime factors of a? 5 Let j(o) = -o**3 - 4*o**2 + 6*o + 7. Let h be j(-5). Let x(y) = -y**3 + y**2 + 2*y. Let i be x(2). Suppose i = h*v + 3*v - 55. What are the prime factors of v? 11 Let t(s) be the second derivative of -s**4/12 + 7*s**3/3 + 3*s**2/2 - 6*s. What are the prime factors of t(7)? 2, 13 Suppose 0 = 2*w - 4*a - 0*a - 28, -37 = -2*w + a. What are the prime factors of w? 2, 5 Let m(y) = -y**3 - 5*y**2 - 2*y - 5. Let k be m(-5). Suppose 4*z - 208 = -k*d, 0 = z + 2*d + 3*d - 37. List the prime factors of 4/6 + z/9. 7 Let m be ((-1)/(-2))/(2/12). List the prime factors of 2 - (-26 + -3 + m). 2, 7 Suppose -79 - 79 = -2*t. What are the prime factors of t? 79 Let t = -1 + 12. Suppose 1 = -2*h + t. What are the prime factors of h? 5 Let a be (-4)/14 + (-22)/(-77). Suppose 7*t - 124 - 184 = a. What are the prime factors of t? 2, 11 Let r be (-8)/4*2/(-4). Let k(n) be the second derivative of n**5/5 + n**3/3 - n**2/2 + n. What are the prime factors of k(r)? 5 Let g(b) = -b**2 + 6*b + 5. Let o be g(7). Let h = o + 4. Suppose 4*s - 44 = 4*a, -s + h*a = -0 - 11. List the prime factors of s. 11 Let k(h) be the third derivative of 3*h**4/4 + h**2. Let l be -2 - (3/(-2) - (-3)/(-2)). List the prime factors of k(l). 2, 3 Suppose -r = -2, z
{ "pile_set_name": "DM Mathematics" }
1? -752 Which is smaller: -149 or -147? -149 Is 2/240641 smaller than 1? True Which is smaller: -325 or -326? -326 Is 1/3042 <= 1? True Is -212 bigger than -209? False Which is smaller: -1 or -482? -482 Is 2 at least -1244? True Which is bigger: 16/11 or 2? 2 Which is smaller: -222/5 or -43? -222/5 Is -473/2 greater than -238? True Which is smaller: -625 or -623? -625 Which is smaller: 25 or 39? 25 Which is smaller: -387/49 or -9? -9 Is 69 at least as big as 74? False Is 6 >= 78/17? True Is 238 at most 3? False Is -104 at most -104? True Which is bigger: 0 or -0.13? 0 Is 3/56 less than or equal to 1? True Is -1 at least as big as -14/5575? False Which is smaller: -7 or -4? -7 Which is smaller: 10154 or 10153? 10153 Which is smaller: 1489 or -3? -3 Which is greater: -1 or 66/1141? 66/1141 Which is smaller: 7732 or 7731? 7731 Which is bigger: -98/3 or -34? -98/3 Is -14 <= 6? True Is 1 greater than or equal to -34/1443? True Which is greater: 0 or 2.7598? 2.7598 Which is smaller: 1/4 or -1? -1 Is -306 >= -304? False Is -10 at least 1? False Which is bigger: -11/94 or 0? 0 Which is smaller: 297/4 or 74? 74 Which is bigger: 2/129 or -1? 2/129 Which is smaller: 3240 or 3239? 3239 Is 26794 < 26794? False Which is bigger: -1/156 or 0.1? 0.1 Is 12 equal to 0.1? False Is -3 < 3? True Which is smaller: -133 or 0.1? -133 Is 293 > 263? True Which is bigger: 3 or 155/66? 3 Is 1/5015 greater than or equal to 1? False Which is greater: 0.4 or -2211? 0.4 Which is bigger: -962 or -959? -959 Do -31.7 and 1 have the same value? False Which is greater: -372/11 or -33? -33 Which is bigger: -2/389 or 1? 1 Which is greater: 1 or -1/490? 1 Is -1 != -74/227? True Which is greater: -7 or 51? 51 Are -0.4 and -5 equal? False Which is smaller: -3 or -62/21? -3 Are 2156/9 and 241 equal? False Which is smaller: -4958 or -4956? -4958 Which is bigger: 112/23 or 4? 112/23 Is -19/32 at least as big as -2? True Is -1 smaller than 2/9071? True Which is bigger: 0 or -46/3? 0 Is -6/73 at least 231? False Is -780 greater than 1.3? False Is 1221 at least as big as 1233? False Is 9 <= 14? True Which is greater: 1/32492 or -1? 1/32492 Which is bigger: 132 or 135? 135 Is -530/37 > -13? False Which is smaller: -382/7 or -55? -55 Which is greater: -1977 or -0.2? -0.2 Is 354 at most 354? True Which is greater: -27 or -41? -27 Which is smaller: 1420 or 12790/9? 1420 Which is smaller: -8286 or -8284? -8286 Which is smaller: 58 or 60? 58 Which is bigger: -113/8 or -0.4? -0.4 Which is greater: 7/221 or -1? 7/221 Is -4382 > 1? False Which is bigger: 4085 or 4086? 4086 Is 7068 less than 7068? False Is -173 bigger than 0? False Which is greater: 551 or 550? 551 Which is smaller: -88 or 0.34? -88 Which is bigger: -1 or 3/9586? 3/9586 Is -2172 greater than -2172? False Is 6 bigger than 252/53? True Which is smaller: -1 or -3/1939? -1 Do 1 and 6/175 have the same value? False Which is greater: 1 or 3/515? 1 Which is smaller: -30 or -33? -33 Is -263 smaller than -269? False Is 0 greater than or equal to 24582? False Which is bigger: 0.106 or -0.029? 0.106 Are -30/53 and -2 nonequal? True Are -0.25 and -17.1 non-equal? True Is 13 greater than or equal to -24? True Is -926 smaller than -936? False Is -3405 less than -3404? True Which is smaller: 2852 or 0? 0 Is 1207 not equal to 1200? True Is -42 > 8? False Which is greater: 11/32 or 1? 1 Are -1813 and -1812 nonequal? True Which is bigger: 229 or 227? 229 Which is greater: -1 or -33/155? -33/155 Which is bigger: -709 or -714? -709 Is 56 at most as big as -1/7? False Are -0.1 and -14 nonequal? True Do -7 and -0.038 have the same value? False Is -5/182 >= 0? False Is -1058/21 <= -49? True Is 29 < 96? True Which is smaller: -0.343 or -11? -11 Which is bigger: 6 or 61/12? 6 Is 3 at most as big as 442/107? True Is 31/3 at least as big as 9? True Are -1 and -28 equal? False Which is greater: 28070 or 1/4? 28070 Which is smaller: -3/14867 or 0? -3/14867 Is 9 at least 0.01? True Which is smaller: 428 or 427? 427 Is -1214 >= -1215? True Is -227 >= -0.1? False Is -2/1177 at least 1? False Is 14088 at least as big as 14088? True Is -12/613 at least as big as -1? True Are 1 and -94/533 equal? False Is 2 smaller than 11/18? False Which is bigger: -14 or -50? -14 Is 1382 at least 1381? True Is 2/493 > -1? True Is -14/23 > 0? False Which is greater: -1630/7 or -233? -1630/7 Which is greater: -5 or -82? -5 Which is smaller: -0.04238 or 1? -0.04238 Is 0 bigger than 2/3341? False Do 4 and 84/31 have the same value? False Which is smaller: -1 or -1/101? -1 Which is greater: 4/7 or -0.156? 4/7 Is -4/637 <= 1? True Which is smaller: 37 or 39? 37 Is -2944 < -1/9? True Is 1/3 at least 0.704? False Are -216 and 2 unequal? True Is 0.2 greater than 10.84? False Which is smaller: 1.389 or -2/7? -2/7 Is 8/85 > -1? True Is 31 < 45? True Which is smaller: 108 or -0.12? -0.12 Is -8 greater than or equal to -114/13? True Which is smaller: 3 or -973? -973 Are -4 and -73/18 non-equal? True Which is bigger: 3/82 or 1? 1 Which is smaller: -65 or -66? -66 Which is smaller: 0 or -45/32? -45/32 Which is bigger: -269/125 or -3? -269/125 Is -376 smaller than -374? True Which is greater: 101 or 7/5? 101 Is 1 != 6/199? True Are 1300 and 1312 unequal? True Is 30 equal to 206/7? False Which is greater: 3/5 or 199? 199 Is -11 less than 61? True Is 93 at most as big as -0.081? False Which is greater: 95 or 89? 95 Is -61752 at most as big as -61753? False Which is smaller: -89 or -624/7? -624/7 Which is greater: 4/25 or 1? 1 Which is greater: 35/68 or 0? 35/68 Which is smaller: -1 or 1470? -1 Which is smaller: -7344 or -7345? -7345 Which is smaller: 1960 or 1958? 1958 Which is smaller: -3763 or -3762? -3763 Which is greater: -2 or 0? 0 Is -11/24 < 0? True Which is greater: -2 or -33/37? -33/37 Which is bigger: 3 or -5? 3 Is -2 >= -8/15? False Is 146 greater than 147? False Which is smaller: 288 or 287? 287 Is -196 greater than 1/3? False Which is smaller: 37/25 or 2? 37/25 Is 5 smaller than 17? True Which is smaller: -4133 or -4134? -4134 Which is bigger: -1/6476 or -1? -1/6476 Is 556 less than 556? False Do -73/26 and -2 have the same value? False Is 4 less than or equal to -1.4? False Do -1 and -24 have the same value? False Are 318 and -2 equal? False Is 1739 at least 1738? True Which is bigger: 388 or 392? 392 Is 166 smaller than 50? False Which is smaller: -1 or -159/88? -159/88 Which is smaller: -10164 or -10163? -10164 Is 2 at most 0.03674? False Is 1738 greater than 1738? False Which is smaller: 2303/5 or 460? 460 Is -1 at most as big as 3/1256? True Which is bigger: 101 or 199/2? 101 Is -1277 < -1282? False Is 1/5 less than -72.8? False Which is smaller: -5 or -90? -90 Which is greater: 0.07 or 101? 101 Which is bigger: -4263 or -4262? -4262 Is -3611 less than or equal to -10835/3? False Is 7/17 greater than or equal to -1? True Which is smaller: 11 or 72? 11 Is 103 at most as big as 101? False Which is greater: 2/1545 or 9/7? 9/7 Is -21/20 bigger than -2? True Is -12.5 greater than or equal to 0.1? False Which is greater: -288 or -293? -288 Which is bigger: -66/29 or -1? -1 Does 104 = -39? False Is -1/529 < -1? False Are -4 and -116/23 unequal? True Which is bigger: 1 or -37/9? 1 Which is smaller: 6953 or 6952? 6952 Is 14 at least -17? True Are -43 and -257/6 nonequal? True Is -11 at most as big as -81/7? False Is -2/115 smaller than 1? True Is -17 less than or equal to -25? False Are -1 and 2/23181 equal? False Do 6273 and 6272 have different values? True Are -363 and -364 nonequal? True Is -649/10 bigger than -65? True Which is greater: -8/35 or 2/7? 2/7 Which is greater: 4/929 or 1? 1 Is 34 not equal to -1/40? True Is -1 at most -3? False Which is smaller: 8 or 5? 5 Do 3143 and 2/5 have the same value? False Do -10193 and -1/5 have different values? True Is 1/499 at most as big as 0? False Is 108/1099 greater than 1? False Are 285 and 284 non-equal? True Is -1 bigger than -3/8416? False Which is bigger: -6 or -40? -6 Which is greater: 147 or 0.2? 147 Which is greater: 2567 or 2563? 2567 Is -1551/5 at most -311? False Which is greater: -27 or -23? -23 Is 1838 greater than or equal to 1814? True Which is bigger: 0.2 or 19/3? 19/3 Is 3/26 at most as big as 2/5? True Which is smaller: -
{ "pile_set_name": "DM Mathematics" }
irst derivative of o(f). Determine d(q(z)). -16*z**2 + 60 Let d(f) = f**2. Let s(y) = -709*y**2 - 14*y + 49. Let m(k) = -472*k**2 - 10*k + 34. Let r(l) = 7*m(l) - 5*s(l). Give r(d(a)). 241*a**4 - 7 Let n(j) = -3*j**2 - 18*j. Let b(r) be the first derivative of 5*r**3/3 + 37*r**2/2 + 131. Let a(g) = 4*b(g) + 9*n(g). Let t(d) = -2*d. Calculate t(a(z)). 14*z**2 + 28*z Let g(v) = -8*v**2 + 3*v - 1. Let t be g(-1). Let h(n) = 4*n. Let l(f) = f**2 - 12*f. Let k(b) = t*h(b) - 4*l(b). Let p(c) = 22*c. Determine k(p(o)). -1936*o**2 Let x(g) = -3*g. Suppose 3 - 1 = -w. Let r be (-28)/(-21)*(-3)/w. Let c(d) = 4*d - 4*d + d + r*d. Determine x(c(q)). -9*q Let z(l) be the third derivative of -l**7/1260 + l**5/5 + l**3/2 - 2*l**2 + 46. Let q(o) be the third derivative of z(o). Let p(y) = 16*y. Give p(q(w)). -64*w Let z(w) = 8*w - 17. Let u(y) = -y**2 - 48140*y + 3. What is u(z(f))? -64*f**2 - 384848*f + 818094 Let s(k) = 31*k**2. Let h(f) = 3*f**2 + 24*f + 13. Let j be h(-8). Let l(v) = -j*v - 30*v + 45*v. What is l(s(i))? 62*i**2 Let b(t) = -38*t**2 + 8*t. Let h(v) = 14*v - 160. Let d(g) = -20*g + 224. Let r(m) = -10*d(m) - 14*h(m). Give r(b(y)). -152*y**2 + 32*y Let s(l) = 1940*l - 1. Let u(o) = -15*o + 18. Determine u(s(t)). -29100*t + 33 Let z(i) = 101*i - 4 - 47*i - 51*i + 4. Let t(s) = 1413*s. Calculate z(t(o)). 4239*o Let x(p) be the third derivative of 0*p - 29/60*p**5 + 1/12*p**4 + 5*p**2 + 0*p**3 - 12. Let l(n) = 3*n. Calculate l(x(s)). -87*s**2 + 6*s Let v(a) = -3769 + 3769 - 7*a + 7*a - 5*a**2. Let x(u) = 3*u**2 + 94*u. Determine x(v(l)). 75*l**4 - 470*l**2 Let d(r) be the second derivative of 7583*r**3/6 - 7422*r. Let f(n) = -2*n. What is d(f(p))? -15166*p Suppose 4*t = -3*a + 22 + 5, -4*a + 14 = -2*t. Let p(u) = t*u + u + 4 + u. Let q(h) = 3*h**2. Determine q(p(w)). 75*w**2 + 120*w + 48 Let n(u) be the second derivative of -109*u**4/4 - 644*u. Let d(o) = -10*o. What is n(d(w))? -32700*w**2 Let z(g) = -1. Let s = 1 - 3. Let o(v) = -v + 2. Let t(x) = s*o(x) - 4*z(x). Let j(h) be the third derivative of -h**4/8 + 248493*h**2. What is j(t(n))? -6*n Let g(m) = -6*m**2. Let y(w) = -2*w**2 - 3406*w + 1. Calculate y(g(v)). -72*v**4 + 20436*v**2 + 1 Let h(o) be the third derivative of o**6/180 - 139*o**4/24 - 107*o**2. Let s(a) be the second derivative of h(a). Let q(f) = 52*f**2. Determine s(q(d)). 208*d**2 Let u(p) be the first derivative of p**5/3 + 7*p**2 - 27. Let n(i) be the second derivative of u(i). Let w(j) = -3*j - 2*j + 6*j - 3*j. Give w(n(a)). -40*a**2 Let x(r) = 1775*r - 1773*r + 9 - 9. Let i(s) be the second derivative of 7*s**3/3 - s. Give x(i(g)). 28*g Let c(a) = -4074*a**2. Let x(l) = -990 + 2*l**2 + 339 + 651. Calculate x(c(v)). 33194952*v**4 Let m(d) = d**2 - 4*d. Let z(t) = -5*t - 4. Let n(b) = 7*b + 5. Let x(r) = -2*r + 29. Let y be x(17). Let u(l) = y*z(l) - 4*n(l). Give m(u(c)). 9*c**2 + 12*c Let h(z) = -17*z**2. Let p(s) = 1068391*s. Determine p(h(n)). -18162647*n**2 Let j(h) = -2*h - 20. Let a(u) = -30. Let w(f) = -14. Let s(o) = 6*a(o) - 13*w(o). Let k(v) = j(v) + 10*s(v). Let t(b) = -4*b**2. Calculate k(t(c)). 8*c**2 Let v(r) = 1. Let w(c) = 1559 - 1553 + 7*c - 3*c. Let y(o) = -6*v(o) + w(o). Let a(f) = 10*f**2. Determine y(a(m)). 40*m**2 Let z(s) = 94*s. Let h(p) = -4*p**2 - 28*p - 38. Let j be h(-5). Let v(f) = 18*f**2 + 17*f**j - 33*f**2. Calculate v(z(w)). 17672*w**2 Let c(o) be the first derivative of 0*o**2 - 16/3*o**3 - 154 + 0*o. Let s(k) = -5*k**2. What is s(c(y))? -1280*y**4 Let b(i) be the third derivative of -11*i**6/240 + 23*i**4/24 + 104*i**2. Let u(p) be the second derivative of b(p). Let x(q) = 2*q. What is x(u(s))? -66*s Let l(y) = 21*y**2 - 1. Let f be (-18102)/(-90) - 4/30. Let a(p) = 101*p**2 + 98*p**2 - f*p**2. Calculate a(l(n)). -882*n**4 + 84*n**2 - 2 Let h(j) = j**2. Let k(z) = 33*z - 706 - 23*z - 9*z. Give h(k(i)). i**2 - 1412*i + 498436 Let y(f) = 10*f. Let i(w) = 162*w. Let p(o) = 4*o. Let b(q) = i(q) - 36*p(q). Let r(m) = -4*b(m) + 7*y(m). Let l(a) = 10*a**2 - 12. Determine l(r(n)). 40*n**2 - 12 Let n(b) be the second derivative of 77*b**4 - 1732*b. Let j(g) = g**2. Determine n(j(c)). 924*c**4 Let v(z) = -81*z. Let n = -1 - -3. Let c(p) = -5*p**n + 3*p**2 - 5*p**2 + 6*p**2. Calculate c(v(g)). -6561*g**2 Suppose 0 = -54*z + 43*z + 22. Let f(q) = 141*q**2 - 117*q**z + 58*q**2. Let v(d) = -2*d**2. What is f(v(w))? 328*w**4 Let y(c) be the second derivative of 0 + 0*c**2 + 3*c + 1/6*c**3. Let u(g) = 3*g**2 - 8*g**2 + 5*g**2 - 3*g**2 + 4*g**2. Calculate y(u(s)). s**2 Let n(u) = 8*u. Let i(l) = -75*l + 207*l + 25 - 61*l - 60*l. What is i(n(m))? 88*m + 25 Let t(m) = m**2 + 15*m + 30. Let v be t(-13). Let q(g) = -7*g + 7*g - v*g + 2*g. Let k(h) = 69*h**2. Determine k(q(a)). 276*a**2 Let z(g) = 2*g**2. Let o(k) = 3697 - 430*k - 7401 + 3704. Calculate z(o(i)). 369800*i**2 Let x(q) be the third derivative of -11*q**5/12 - 10*q**2. Suppose -452 = -44*z + 43*z. Let k(s) = -452 + z + 2*s. What is x(k(j))? -220*j**2 Let s(w) be the third derivative of w**4/24 + 4*w**2. Suppose 8*u = 20*u - 24. Let a(q) = 34*q**2 + 79*q - 79*q + 4*q**u. Calculate s(a(r)). 38*r**2 Let j(n) = -4*n**2 - 4817309*n - 5. Let v(u) = u**2. Calculate j(v(k)). -4*k**4 - 4817309*k**2 - 5 Let u(b) = 23*b. Let y(i) be the third derivative of -i**6/360 + 9*i**4/4 + i**3/6 + 3*i**2 - 14. Let v(a) be the second derivative of y(a). Determine u(v(l)). -46*l Let f(d) = 37*d - 35*d - 19*d. Let x = 46 + -48. Let z(q) = 3*q**2 - 5*q. Let j(t) = -t**2 + 2*t. Let a(m) = x*z(m) - 5*j(m). Give a(f(r)). -289*r**2 Let y(b) = 179 - 90 - 89 - 6*b**2. Let r(j) = 82*j - 247*j + 79*j + 81*j. What is y(r(k))? -150*k**2 Let i(m) be the first derivative of 7*m**3/3 + 19*m**2/2 - 4*m + 2529. Let n(a) = -2*a**2. Determine i(n(l)). 28*l**4 - 38*l**2 - 4 Let z(y) be the first derivative of 11*y**3/3 - 4149. Let w(k) = 136*k. Determine w(z(c)). 1496*c**2 Let y(z) = 11*z. Suppose 5*m = -4*d + 12, -7*m + 4*m + 4*d = -20. Let l(b) = -7*b + 6. Let h(u) = 36*u - 33. Let c(w) = m*h(w) + 22*l(w). Determine y(c(s)). -110*s Let b(v) = 38*v**2 - 2. Let t(f) = 8*f**2. Determine b(t(m)). 2432*m**4 - 2 Let n(j) = -4*j. Let u = 35004 + -21872. Let a(i) = -u + 16*i + 13132. Calculate n(a(y)). -64*y Let c(n) = -75*n**2. Let v(b) be the second derivative of 67*b**3/6 + 3958*b. What is v(c(t))? -5025*t**2 Let t(c) = -2 + 6*c + 2 + 0. Let g(h) = 1. Let q(x) = 2*x**2 - 2. Let k be ((-3)/(-2))/((-39)/(-26)). Let d(b) = k*q(b) + 2*g(b). Calculate d(t(r)). 72*r**2 Let q(l) be the second derivative of 0 + 0*l**3 + 0*l**2 - 11*l + 7/6*l**4. Let s(n) = 6*n - 1. Let g(u) = 9*u - 2. Let k(j) = -g(j) + 2*s(j). What is k(q(z))? 42*z**2 Let c(k) = -4*k. Let v(q) = 42*q - 2274. Determine c(v(y)). -168*y + 9096 Let l(o) = -41160411*o. Let d(b) = -7*b. Calculate d(l(q)). 288122877*q Let y(w) = 9*w**2. Let s(t) = -13834975*t**2. Calculate s(y(x)). -1120632975*x**4 Let h(y) = 9476*y. Let m(s) = -249*s. Let n(w) = -3*h(w) - 115*m(w). Let x(t) = -2*t**2. What is x(n(v))? -85698*v**2 Let x(n) = -10 + 7 + 3 + n**2. Let r(v) = 17*v**2 + 15*v**2 + 53*v**2 - 40*v**2. Give x(r(w)). 2025*w**4 Let o(k) = -28*k. Let m(t) = t**3 - 2*t**2 - 3*t + 3. Let z be m(3). Let a(r) = -5*r**2 - z*r + 6*r**2 + 3*r. Give a(o(u)). 784*u**2 Let w(h) = 106*h**2 - 12*h. Let u(y) = -22*y + 70. Let s(o) = 18*o - 56. Let g(j) = -5*s(j) - 4*u(j). What is g(w(x))? -212*x**2 + 24*x Let v(r) = -5*r**2. Let q(x) = -5*x + 4. Let y(g) = 4*g - 3. Let j(p) = 3*p - 118. Let k be j(38). Let a = 4 - 7. Let u(l) = a*q(l) + k*y(l). What is v(u(z))? -5*z**2 Let s(i) = -336*i - 143. Let r(z) = 113*z + 41. Let n(a) = -7*r(a) - 2*s(a). Let t(l) = l. What is n(t(j))? -119*j - 1 Let b(u) = 5*u. Let n(p) = -141239*p - 1. Determine n(b(t)). -706195*t - 1 Let j(s) = 81*s - 550. Let u(i) = 86*i**2. Determine j(u(a)). 6966*a**2 - 550 Let a(r) = -6*r**2. Let f(c) = -13363093*c**2. Calculate a(f(m)). -1071433527159894*m**4 Let o(w) be the second derivative of -2*w**3 + w**2 - 8*w. Let p(m) be the second derivative of -m**3/2 - 1883*m. Give o(p(s)). 36*s + 2 Let m(t) = 4*t. Let y(r) = -2 - 3 + r + r**2 - 8 - 16*r. Let s be y(16). Let n(q) = -9*q. Let w(a) = s*n(a) + 7*m(a). Let g(l) = l. Determine w(g(u)). u Let r(l) = 14086*l - 3. Let j(h) = -65626710*h + 1397
{ "pile_set_name": "DM Mathematics" }
72 to five decimal places. -0.00024 What is 0.002693033 rounded to 5 decimal places? 0.00269 Round 0.005320702 to 5 dps. 0.00532 Round 59843.67 to the nearest 10. 59840 Round -219.3902 to 0 decimal places. -219 What is 22.75068 rounded to 1 decimal place? 22.8 Round -0.97429 to the nearest integer. -1 Round -0.0535692 to 3 decimal places. -0.054 What is 44314800 rounded to the nearest 100000? 44300000 What is 0.0362613 rounded to 2 decimal places? 0.04 Round 51969.33 to the nearest 100. 52000 Round -0.00030400785 to five dps. -0.0003 Round 4.63337 to 2 decimal places. 4.63 Round 0.01062025 to 4 dps. 0.0106 Round 0.13770142 to three dps. 0.138 Round 0.0000064397986 to 6 decimal places. 0.000006 Round -0.1953367 to 3 dps. -0.195 Round 306660.45 to the nearest 1000. 307000 Round 20.72746 to 2 dps. 20.73 What is -8873793 rounded to the nearest 1000? -8874000 Round 0.001345011 to 6 decimal places. 0.001345 Round -0.00000914437 to 6 dps. -0.000009 What is 43.884007 rounded to 2 decimal places? 43.88 What is -4.0957 rounded to one decimal place? -4.1 Round 15536700 to the nearest one million. 16000000 Round -0.0022202209 to 5 decimal places. -0.00222 Round 0.0033498 to three dps. 0.003 Round -0.000235661 to 4 decimal places. -0.0002 Round -65241.98 to the nearest 1000. -65000 Round -1.158437 to one dp. -1.2 What is -0.003791281 rounded to five dps? -0.00379 What is -75.6683 rounded to the nearest ten? -80 Round -108526.68 to the nearest 10000. -110000 Round 0.0308419 to 4 dps. 0.0308 Round 3975620 to the nearest 100000. 4000000 Round 8491.13 to the nearest one hundred. 8500 Round -5357.13 to the nearest 100. -5400 Round -509770000 to the nearest one million. -510000000 Round -793208.9 to the nearest one hundred thousand. -800000 Round -293.8795 to the nearest 100. -300 Round -667446.4 to the nearest 1000. -667000 What is -0.001711117 rounded to 4 decimal places? -0.0017 What is -0.000005141318 rounded to 7 decimal places? -0.0000051 What is -0.7134 rounded to one dp? -0.7 Round 23016 to the nearest ten. 23020 What is -0.0378868 rounded to 4 decimal places? -0.0379 What is -0.0316929 rounded to four decimal places? -0.0317 What is 926850 rounded to the nearest 100000? 900000 Round -1438.0527 to the nearest ten. -1440 Round 4.7388032 to 2 dps. 4.74 Round 301.6676 to zero decimal places. 302 Round 379.646 to the nearest integer. 380 Round -1.342937 to 2 decimal places. -1.34 Round 227223200 to the nearest 100000. 227200000 What is -0.00008274039 rounded to seven dps? -0.0000827 Round 5.859648 to the nearest integer. 6 Round 0.038189 to 3 decimal places. 0.038 Round 7197.2672 to 0 decimal places. 7197 Round 0.03560828 to four dps. 0.0356 What is 0.0000102474 rounded to 7 decimal places? 0.0000102 Round 67514.65 to the nearest 10. 67510 Round -789501 to the nearest one hundred thousand. -800000 What is -2180740.3 rounded to the nearest one hundred thousand? -2200000 What is -18.900215 rounded to 1 dp? -18.9 Round -0.001331215 to four decimal places. -0.0013 What is -0.01110185 rounded to four dps? -0.0111 Round 11653470 to the nearest one million. 12000000 Round -9466.6 to the nearest 10000. -10000 What is -462.4759 rounded to the nearest integer? -462 What is 9567310 rounded to the nearest ten thousand? 9570000 Round 29554640 to the nearest one million. 30000000 Round -1.9969 to 2 dps. -2 Round -3279922 to the nearest ten thousand. -3280000 Round -3845220 to the nearest 100000. -3800000 Round 2266320 to the nearest ten thousand. 2270000 What is -0.00001035491 rounded to six dps? -0.00001 Round 0.01344077 to 3 decimal places. 0.013 What is 0.0000012064826 rounded to seven decimal places? 0.0000012 Round 44.34255 to 1 dp. 44.3 Round 230169130 to the nearest 1000000. 230000000 What is 0.0000001956163 rounded to 7 decimal places? 0.0000002 What is -2130990 rounded to the nearest one hundred thousand? -2100000 Round -7.86568 to 0 dps. -8 What is -0.04433249 rounded to 3 decimal places? -0.044 What is -0.0052538473 rounded to three dps? -0.005 Round -0.55950803 to 4 decimal places. -0.5595 What is 3425940 rounded to the nearest 1000000? 3000000 Round 0.2728289 to 4 dps. 0.2728 What is 17.2903 rounded to zero decimal places? 17 What is -0.00000975968 rounded to six decimal places? -0.00001 Round -528203000 to the nearest 1000000. -528000000 Round 61520.1 to the nearest 100000. 100000 Round 31884100 to the nearest 1000000. 32000000 Round 821043.2 to the nearest 100000. 800000 What is -0.0952821 rounded to 1 decimal place? -0.1 Round 303209750 to the nearest 1000000. 303000000 Round 0.001074895 to four dps. 0.0011 What is -3711.67 rounded to the nearest one thousand? -4000 Round 0.3627757 to two dps. 0.36 Round -0.00061773392 to 7 decimal places. -0.0006177 What is -58.74649 rounded to one decimal place? -58.7 Round -9.432826 to three dps. -9.433 What is 2.282286 rounded to 2 decimal places? 2.28 What is 19958800 rounded to the nearest 1000000? 20000000 Round 242.6056 to 0 decimal places. 243 Round -0.13286329 to 1 dp. -0.1 What is 0.000003049101 rounded to 6 decimal places? 0.000003 What is -662979.89 rounded to the nearest one hundred thousand? -700000 What is 0.05304911 rounded to two dps? 0.05 Round 0.00000029503 to seven dps. 0.0000003 Round 0.000013580657 to six dps. 0.000014 What is -812.112 rounded to zero dps? -812 Round -4153.474 to the nearest one hundred. -4200 What is 0.16724616 rounded to two decimal places? 0.17 What is 6431240 rounded to the nearest one hundred thousand? 6400000 What is 3.629676 rounded to 0 dps? 4 Round -5092832 to the nearest 1000000. -5000000 What is 98433.09 rounded to the nearest 100? 98400 What is 0.10836633 rounded to 3 dps? 0.108 What is 9111.09 rounded to the nearest one thousand? 9000 Round -168795 to the nearest one hundred. -168800 What is -23007770 rounded to the nearest 1000000? -23000000 What is -0.0000188958 rounded to seven decimal places? -0.0000189 Round -37766.372 to the nearest one thousand. -38000 What is 5987.67 rounded to the nearest one thousand? 6000 What is -0.0000743575 rounded to 7 decimal places? -0.0000744 What is -0.00000033383801 rounded to 7 decimal places? -0.0000003 Round -880.79 to the nearest ten. -880 Round -0.0164736 to 3 dps. -0.016 Round -228.92 to the nearest one hundred. -200 What is -0.0000235927 rounded to 5 decimal places? -0.00002 What is 0.8883903 rounded to 4 dps? 0.8884 What is 1919340 rounded to the nearest ten thousand? 1920000 What is 2028419 rounded to the nearest one hundred thousand? 2000000 Round 0.001824963 to five decimal places. 0.00182 What is 3373690 rounded to the nearest one hundred thousand? 3400000 Round -0.0003970416 to 6 decimal places. -0.000397 What is -12748610 rounded to the nearest one million? -13000000 What is -0.185421 rounded to 3 dps? -0.185 Round -0.0000591445 to five decimal places. -0.00006 What is -0.00000306845 rounded to 6 dps? -0.000003 Round -453800 to the nearest one million. 0 What is -7842100 rounded to the nearest 100000? -7800000 Round -4384660 to the nearest ten thousand. -4380000 What is 234.8462 rounded to the nearest ten? 230 What is -0.0025149259 rounded to 4 decimal places? -0.0025 What is -0.000000125929 rounded to 7 decimal places? -0.0000001 What is -16.8436 rounded to two decimal places? -16.84 What is 119762580 rounded to the nearest 100000? 119800000 What is 0.001662629 rounded to six dps? 0.001663 Round -135.5563 to the nearest ten. -140 What is -567147.2 rounded to the nearest 1000? -567000 Round -1312.119 to 0 dps. -1312 Round -777.28235 to the nearest 100. -800 Round 1270657600 to the nearest one hundred thousand. 1270700000 What is -0.00007802223 rounded to 7 dps? -0.000078 Round 0.000133091 to six decimal places. 0.000133 What is 0.0805552 rounded to 2 dps? 0.08 Round 0.00014101133 to seven dps. 0.000141 What is -0.01229004 rounded to 4 decimal places? -0.0123 Round -0.00007187908 to 6 decimal places. -0.000072 What is 0.000703922 rounded to 4 decimal places? 0.0007 Round 0.06494992 to two dps. 0.06 What is 0.0472937 rounded to two decimal places? 0.05 Round 119759.7 to the nearest ten thousand. 120000 Round -67444000 to the nearest 100000. -67400000 Round 0.0002328149 to 6 decimal places. 0.000233 What is -2.560237 r
{ "pile_set_name": "DM Mathematics" }
-211612.5. Let q = 0.7 - 23.7. Let d = -38 - q. What is the closest to d in -4, g, 2? -4 Let l = 241.8 - 219. Let n = -1 - -24. Let w = l - n. Which is the nearest to 1/4? (a) 1/7 (b) 0.3 (c) w b Let o = -1 - 0. Let l = -1097.73 - -1103. Let z = 0.27 - l. Which is the nearest to o? (a) 5 (b) -3 (c) z b Let p be (74/555)/(18/30). Which is the closest to -6? (a) 0.3 (b) 2 (c) p (d) -4 d Let x = -3 + 3.2. Let h = 4378 - 4378.09. Which is the nearest to h? (a) 1 (b) 2/3 (c) -1/4 (d) x c Let t = 5671.9 + -5287. Let v = t - 385. Which is the closest to v? (a) 2 (b) 0 (c) -0.22 (d) -0.4 b Suppose 32*q + 437 = 469. What is the closest to -0.1 in q, -9, 6/17? 6/17 Let g = 0.5021 + -0.0321. Let u = g - 1.47. Let l = 7/92 + 4/23. What is the nearest to l in 3, 1/2, u? 1/2 Let q = 5 - 3. Let h = 2.3 - q. Suppose -565972 = -47*r - 565925. Which is the closest to r? (a) h (b) -3/2 (c) 4 a Let h be (-4)/(-87)*(270/48)/15. Let x = 53/290 + h. Which is the nearest to x? (a) -3 (b) -5 (c) -0.1 c Let w = -177951.9 + 177952. Let r = 0.8 - 1. Let v = -0.2 - r. What is the closest to v in w, 2/13, -10? w Let v = 0.77723 - -0.32277. What is the closest to v in -148, 4, -5, -0.1? -0.1 Let o = -0.057091 - 41.023909. Let y = 0.081 + o. Let d = y - -41.5. What is the nearest to -1/4 in 1, d, 0? 0 Let i = -12.06 + 12. Let n = -61.579 + 1.479. Let z = -60 - n. What is the closest to z in 0.4, i, -2/17? i Let v = 211 + -208. Let g = -151 - -126. What is the closest to 1 in g, 1, v? 1 Let t = 7897 - 7898. Which is the closest to t? (a) 335 (b) -3 (c) -1/2 c Let t = -2.04 - -0.04. Let l = 1.31105 + -0.24815. Let m = -0.0629 + l. What is the nearest to 0.06 in 2/3, m, t? 2/3 Let h = 0.3 - -0.7. Let y = -3.4 + 3. Let o = 12777.9 + -12778. Which is the nearest to h? (a) o (b) -1 (c) y a Let q = 19106 + -19109. Let n = -5.1 - -1.1. What is the nearest to -1 in -1/3, n, q? -1/3 Let o = -0.03 + -0.07. Let p = 15991 - 15990.5. Which is the closest to 26/9? (a) p (b) 1/3 (c) o a Let h = -3673.94 + 3674. Let r be (-1 + 14/8)*-1. Which is the closest to -1/4? (a) -0.2 (b) h (c) r a Let d = -7.03 + 7. Let p(k) = 168*k + 838. Let q be p(-5). Let w be (3/2)/(126/24). Which is the closest to d? (a) 0 (b) w (c) q a Let g be (1 + -2)/(-5 + -1). Suppose 0 = 2*y + 4*v - 20, -25*v = -21*v - 8. Suppose y*x = 9*x + 12. What is the closest to -0.1 in g, x, 4? g Let g = -11 + 11.2. Let h = -0.3 + g. Let t = -6.1 - h. Which is the closest to 1? (a) t (b) -1/2 (c) 2/7 c Let m = 3614 + -3611. What is the closest to -2 in 4, 0.1, -31, m? 0.1 Let j = -6.6 - -7. Let c = 241.83 - 242. What is the closest to -1 in c, 5, j? c Suppose 0 = -2*g + 2 + 5 + 1. Let q = -15 - -14.8. What is the closest to 1 in g, -13/5, q? q Let c(b) = -6*b - 24. Let h be c(5). Let a be h/48*4 - -4. What is the nearest to -0.2 in -1/8, 5/2, a, 1.9? -1/8 Let n = -20.14 + 20.14. Suppose -y - 3*y - 20 = 0. What is the closest to 0.04 in y, 0.4, n? n Let u = 2 - 1. Let k(l) = -l**3 - 98*l - 8*l**2 + 4*l**2 + 25*l**2 + 4. Let y be k(7). Which is the nearest to -1/5? (a) 4/9 (b) u (c) y a Let z be (-1)/4*-1 - (-3 + 78/8). Let o be 6 + -4 - (2 + (-1)/3). Which is the nearest to -1? (a) z (b) -0.3 (c) 5 (d) o b Let t = 62.7242 - -0.0158. Let y = 63 - t. Which is the nearest to y? (a) 3/2 (b) 3 (c) -5 a Let z = -9069.9 - -9068.9. Let t be 1/4*(-8)/(-17). Let w be 1/(2/(-4) + 1). Which is the nearest to w? (a) 2/7 (b) z (c) t a Let t(f) = f**3 - 3*f**2 - 4*f - 3. Let b be 4*(0 + (1 - 0)). Let z be t(b). Let c = -3.851 - 0.149. What is the nearest to -0.5 in z, c, -3/7? -3/7 Let d = 0.305 + 186.695. Let f = d - 191. What is the closest to f in 5, -1, 0.3? -1 Let r be -6 - 1/(5 + (-52)/10). Let o = 0.32 - -0.08. Let z(d) = -d**3 + 2*d**2 - 2*d. Let g be z(2). Which is the closest to 1/4? (a) r (b) o (c) g b Let b = 1.56 + -74.56. Let q = -0.10899 - 72.79101. Let z = b - q. What is the nearest to -2/13 in -0.3, z, -5? z Suppose -3*q = 2*b - 2, q + b = -2*q - 5. What is the nearest to -0.15 in q, -2/81, -1? -2/81 Let p = -44 + 46. Suppose 0 = -p*w - 277 + 51. Let m = 789/7 + w. What is the nearest to m in 1/11, 0.03, -2/7? -2/7 Let q = -177 + 77. Let t = q - -93. Let s = -0.17 + -0.33. What is the closest to -1 in s, 0.1, t? s Let o = -20.263 + 8.263. Which is the nearest to 1? (a) 1/2 (b) o (c) 1 c Let y be 3/2*40/(-15). Let j = -657 + 659. Which is the nearest to y? (a) j (b) -2/9 (c) 8 b Suppose n + 11 = -z, 4*z - 2*n = -14 - 0. Let o = -0.652 - -0.452. Which is the nearest to z? (a) o (b) -3/4 (c) -0.1 b Let q = 2741 + -2740.97. What is the nearest to -0.3 in -49, q, -0.1? -0.1 Let z be (-28)/(-21)*-9 + 16. What is the nearest to -1/2 in z, -6.3, 5? z Let a = -0.0278 + -0.5452. Let i = a + 1.573. What is the nearest to i in 0.4, 4, -2/7, 14? 0.4 Let g = -0.04 + -0.26. Let p = g + 0.5. Let u = -418887 - -418887.1. Which is the closest to 0.1? (a) p (b) 1 (c) u c Let q = -247 + 235.2. Let r = q + 10.8. Which is the closest to r? (a) 5/2 (b) -3 (c) -2 c Let z be ((-16)/6 + 5)*-6. Let a be 5/(15/z) - (-25)/15. What is the closest to 1/2 in a, -23, 1/7? 1/7 Let a = -1.2518 + -5.7482. Let u be -2 + (-249)/(-51) + -3. What is the closest to 1 in u, 0.4, a? 0.4 Let s be 6/9*-2 - -8*(-1160)/(-7680). Let f be (-3 + 0)*(-3)/(-12). What is the closest to 3 in -1/4, s, f? s Let i be -32 + 26 - (-46)/6. What is the nearest to 4 in 1, 0.02, i? i Let g = 3189 + -12757/4. What is the closest to 0.1 in -7, 1, -4/39, g? -4/39 Let s = -4643.5 + 4643. Which is the nearest to 9? (a) 0 (b) s (c) 5 (d) -0.4 c Let s = -120 + 844/7. Let j = 670/39 + 10783/546. Let d = j - 73/2. What is the closest to 2/7 in d, 0.4, s? 0.4 Let g = -47314/7 - -6759. Let s(t) = -t - 2. Let f be s(-8). What is the nearest to 0.2 in f, -2/7, 0, g? 0 Let i = 0.38 - -0.02. Let q = -4/69 + 9/23. What is the closest to q in -3/5, i, -5? i Let l(q) = -63*q**2 - 23*q + 57. Let j be l(3). Let h = j - -585. Let u = 0 + 3. Which is the nearest to h? (a) -3/5 (b) u (c) -3 b Let n = 80 + -81.5. Let l = 32.5 + n. Let c = l - 36. What is the nearest to c in 1, -5, -0.1? -5 Let o be (6/14)/((-10)/(-70)). Let t be (-1 + (-1 - (-2)/o))*-3. Let v = -0.3 - 3.7. What is the nearest to -3 in v, 0.3, t? v Let f = -8568.5 - -8569. Let k be 1/(-5)*(-10)/(-6). What is the closest to k in -3/2, f, -5? f Let o(b) = 58*b + 18 - 20*b - 18*b - 19*b. Let f(u) = 4*u - 72. Let w be f(13). Let c be o(w). What is the nearest to c in -2/9, -4, 0.5? -2/9 Let i = -0.038 + -51.962. Let v = -51.4 - i. Let a = -1.1 - -1. What is the closest to a in 0.2, 1/4, v? 0.2 Suppose 1 = 5*i + 6. Let o be (8/(-22))/(i + 3). Let x be 4/2 - (-5 - -8). Which is the closest to x? (a) 5 (b) 2 (c) o c Let g be (-6 - (-5)/((-25)/10)) + 12. What is the nearest to 2/9 in 1/3, g, -0.1, -157? 1/3 Suppose -36*n = 4*d - 31*n + 71, 0 = 5*d - 4*n + 140. Which is the nearest to 9? (a) d (b) 2 (c) 0.4 b Let n be (42/(-22) - -3) + (-40860)/9988. Let s = -35 - 28. Let b = -98 - s. What is the nearest to 1 in n, -4, b? n Let y be (15/9)/((-4)/10) + 1114 + -1109. Which is the closest to 12? (a) 0.5 (b) y (c) 14 c Let s be (-28)/70*(-15)/(-8) + 129/204. Let c be (-1 + 2)*-2 + 1. What is the closest to c in -2/7, 1/5, s? -2/7 Let x = 402 - 374.3. Let r = x - 23.7. Which is the closest to 2/5? (a) 0 (b) 0.4 (c) 3 (d) r b Let p = 153.2 + -153. Let u = 89 - 169/2. What is the closest to p in 1, u, 4/5? 4/5 Let g(r) = -r**3 - 6*r**2 + 18*r + 10. Let i be g(-8). Let k be (i/(-15))/((-11)/(275/40)). What is the closest to 1 in -0.07, k, -2? -0.07 Let u = -0.33 + 0.38. Let p = -34.95 - u. Let j = 35.2 + p. Which is the closest to 1? (a) 0.11 (b) -4 (c) j c Let g = -6171/10 + 12327/20. What is the closest to 1 in -3, 25, 3, g? g Let q = -1009 + 1009. Let s = 47 - 46.81. Let t = s + -0.12. Which is the closest to q? (a) 4 (b) t (c) -0.1 b Suppose -5*y + 18 = -d + 7, -5*d + y = -17. Suppose -2*n = x - 0 - 23, -d*n - 29 = -3*x. What is the closest to -2/5 in -1, x, 2/15? 2/15 Suppose -66*s + 62*s - 2*j = 768, 0 = -5*j + 30. What is the nearest to -6 in s, -0.4, 0? -0.4 Let s = -4 + 3. Suppose 0 = 4*v - 5*k - 34, -k = 33*v - 29*v + 2. Suppose a + 2 = -0. What is the ne
{ "pile_set_name": "DM Mathematics" }
ch is smaller: v or 36? v Let y be 6660/822 + -15 - -7. Is 1 at most as big as y? False Let u(c) = 5*c + 3. Let n be u(-5). Let s(l) = 11*l**3 - 4*l**2 + 3*l + 6. Let v be s(-2). Let b be (v/(-6) + -2)/(42/(-63)). Is b >= n? False Let p = -0.8 + -0.2. Let k = -1234.06 - -1234.0222. Which is smaller: p or k? p Let p = 0.0153 - -25.8847. Let x = 0.15 + -26.15. Let f = x + p. Is f at least -0.1? True Let b = -41.133 - 4461.867. Which is bigger: -1 or b? -1 Suppose 10*i + 13 = 23*i. Which is smaller: i or 5/562? 5/562 Let l(b) = -b**3 + 2*b**2 - b. Let s be l(0). Suppose s*z - 3*z + 2*j = -709, -2*j - 235 = -z. Which is smaller: z or 236? 236 Let v(r) = -30*r**3 - 661*r**2 - 20*r + 9. Let b be v(-22). Suppose 0 = -3*o + 17 - 122. Is o != b? False Let y be ((-144)/(-63) - 2/4)/(101/202). Suppose 6*q - 15 = q. Let g = 8 - q. Is g >= y? True Let u = -139587714/34133 + -112109/319. Let m = -4441 - u. Is 0 equal to m? False Let c = 0.03178 - -0.05122. Which is smaller: c or -2/7? -2/7 Let g(p) = 12*p - 121. Let y be g(10). Let q be y/(-3) - 2660/5775. Which is smaller: 1 or q? q Suppose d = -2*d + 411. Suppose 12*f - 6*f = -4*f + 1370. Is d at least as big as f? True Suppose 0 = -5*c - 5*h + 3705, -7*c + 5*h + 3311 = -1852. Which is smaller: c or 734? 734 Let r(c) = c**2 + 6*c + 4. Let h be r(-3). Let k = h - -6. Let z = 9690 - 9732. Which is greater: z or k? k Let h(v) = v**2 - 4*v + 3. Let f = 6 + -2. Let r be h(f). Let z = -540 - -541. Is r not equal to z? True Let n = -7092 + 3876. Let x be ((-128)/n)/((-4)/6). Is x bigger than 1? False Suppose 143 = 7*o + 10. Let s = 15 - o. Let z be (-21)/s*(-3)/9. Are z and -0.1 equal? False Let l = 2649.09 - 2650. Is l at most 0.14? True Let g be 7 - (0 - 3) - (3 + -5). Suppose 0 = -3*m + 7*m - g, 5*u - 3*m + 654 = 0. Which is smaller: -127 or u? u Suppose -216 = -5*o - 4*g, 4*o - 5*g - 117 - 23 = 0. Let v = o - 52. Let i be -22 + 24 + (v - -1). Is i bigger than -17/2? False Let l = -48.74 - -46.6981. Let b = -0.0419 - l. Is -12 smaller than b? True Let l(v) = -v**3 - 14*v + 8*v - v + 3 - 6*v - 10*v**2. Let b be l(-9). Do 39 and b have different values? False Let v = 30829 - 30829. Does v = -4/2913? False Let y = 508950 - 3053915/6. Let j be ((-37)/3)/(2/6). Is j greater than y? False Let i = -8 - -11. Let h(k) = -k**2 - 8*k - 15. Let b be h(-6). Let o be -1 + (-2)/b*-3 + i. Which is greater: 4/15 or o? 4/15 Let a = -1/5425 + 16453/965650. Suppose 103 = -315*j + 168 + 250. Is j smaller than a? False Let z = -28/51 - -3812/255. Suppose -3*s = 12, -j + 2*s - 34 = 2*j. Let n(m) = -m**3 - 15*m**2 - 14*m + 15. Let l be n(j). Which is greater: z or l? l Let d be -99*315/(-20)*(-2)/(-30). Is d less than 103? False Let t = 53 - 51. Suppose r - 3*p - 62 = 0, -t*r + 136 = r + p. Let k = -29 + r. Is k not equal to 20? True Let s be -11*1*(1 + -8). Let v be (-6)/(-54) - s/(-441). Which is bigger: v or -65? v Let x be (14/20)/(7/(-14)). Let p(w) = 4*w - 21. Let u be p(6). Suppose -7*l - 5 = -2*l - 4*g, 5 = -5*l - u*g. Which is smaller: x or l? x Let q be 256/(-48)*(-54)/333. Is q at most 1? True Let d be (4/(-3))/(16/48). Let p be d + 24/((-20)/(-5)). Suppose 182 = 5*n - x, n + p*x - 26 = -3*x. Which is smaller: 35 or n? 35 Let c be 62/93*(-9)/(-21) - (-4)/(-14). Which is smaller: 14/237 or c? c Let h be (1 - 2) + 4 + 37 + -25. Which is greater: 5 or h? h Suppose 7*v + 12 + 9 = 0. Let i be (-12)/(-18)*(0 + v/593). Which is smaller: 0 or i? i Let d = 6047 + -5967. Is 809/10 at most d? False Suppose -5*c - q = -29, -c - 3*q + 0*q = -3. Suppose -c*m - 15 + 87 = 0. Suppose 11*f - m = -f. Which is smaller: f or 18/11? f Suppose 0 = 2*u - 336 - 344. Let k be (8/10)/(6/(-15)). Let t be k/(-9) + u/(-153). Which is bigger: 4 or t? 4 Let c(w) = -14*w**2 - w + 62. Let b(d) = 20*d**2 + d - 93. Let k(a) = -5*b(a) - 8*c(a). Let u be k(5). Which is bigger: 283 or u? u Let x = -47 + 49. Suppose 2*w - 2*y + 3*y - 401 = 0, 0 = 2*w + x*y - 402. Suppose 5*g - 13*g - w = 0. Which is bigger: -24 or g? -24 Suppose 27*k - 130 = k. Suppose f = 6 - 1, 2*z + 25 = k*f. Which is smaller: z or 5/24? z Suppose -3*t + 3*y - 1473 = 6*y, -5*t + 3*y - 2463 = 0. Let m be (-401)/(-524) + -11 + t/(-48). Is -1 greater than m? False Let n = -23.894 - -24. Let c = n + 4.894. Is c smaller than 8/7? False Suppose -49*z = -58*z + 477. Suppose -z = -x - 73. Does x = -25? False Let o = 0.06 - 0.033. Let i = 0.027 - o. Let d = -1 - i. Are d and -9/5 non-equal? True Let w = -8/355 + 1443/48280. Let i = w - -4419/136. Which is smaller: i or 32? 32 Let y(v) = v**3 + 15*v**2 + 20*v + 63. Let d be y(-13). Let m be (d/(-940))/((-1)/((-5)/(-9))). Which is smaller: m or -1? -1 Let t = 1772 - 1723.44. Let q = 49 - t. Let s = q + 0.56. Is s bigger than -7? True Let y be -2*(-3 - 0) - (-203276)/3004. Let h = y - 4/2253. Is h bigger than 74? False Let k = 798 - 736. Is 66 >= k? True Let h be 20/(-8) - 4/8. Let g(k) = k**3 + 3*k**2 - 2*k - 8. Let s be g(h). Which is bigger: -5 or s? s Let l = 19 - 23. Let c(o) = -2*o**2 - 10*o - 9. Let t be c(l). Is -3/16 smaller than t? False Suppose 0 = 55*u + 1199 - 1144. Which is greater: 17/133 or u? 17/133 Let c = -462 - -464.39. Let a = c + -3. Let t = 0.51 + a. Is t less than 78? True Let r = 10423 + -10324. Is r not equal to 43? True Let h = -514 - -511. Let q be 54/(0 - (-6)/3). Let b = q - 38. Which is greater: h or b? h Let o be 3 + 24/(-4) - -39. Let k(n) = 6 + 21 + o*n - 37*n. Let z be k(21). Which is bigger: 3 or z? z Suppose -5*j - 88 = -3*h - 4, -80 = -4*h - 4*j. Suppose -w - h*w = -2568. Is 211/2 at least as big as w? False Let n(r) = 22*r + 15. Let f(s) = -21*s - 14. Let a(l) = -5*f(l) - 4*n(l). Let i be a(1). Which is smaller: 30 or i? i Let m(w) = w**2 - 17*w - 1268. Let c be m(-42). Do c and 1209 have the same value? False Let g be 1/((-3)/24*4). Let a be g/5 + 2565/6600. Which is smaller: 0 or a? a Suppose -6*k - 12 = -l, k = 4*l - 2 - 0. Let f be 35/(-1080)*1/7. Which is smaller: l or f? f Let k(f) = 34*f + 1384. Let z be k(-26). Are 0.02 and z nonequal? True Let m(o) = 62*o**3 - 4*o**2 + 19*o + 17. Let b be m(-1). Which is greater: -49 or b? -49 Suppose p = 4*p - 330. Let a = 2282 + -2272. Let g be (-4)/a + 33/p. Are g and 1 non-equal? True Let t(a) = -a**3 + 3*a**2 - a + 8. Suppose -7*k + 36 = 2*k. Let n be t(k). Suppose 0 = 4*l - 4*b + 72, 4*l - b = -56 - 1. Is l <= n? True Let v = 0.1375573 - 2.1375573. Let z = 1.95 - -0.05. Let l = z - 4. Is v at least l? True Suppose -12*l = -30*l + 36. Let v be 2*(-1)/(l/(-4)) - 4. Which is smaller: 2/1183 or v? v Let i = -0.166 + -8.134. Let b = 8 + i. Let s = 6896/11 - 13803/22. Which is smaller: b or s? s Let t = -241 + 240.742. Let y = t + -54.742. Is y != 0.2? True Let v = -6440686 - -2299322104/357. Let k = -55/7 - v. Does -1 = k? False Let h(m) = -m + 6. Let y be h(8). Suppose -3*o - 681 = 19*a - 18*a, 1362 = -2*a - 2*o. Let n = -682 - a. Are y and n equal? False Let b(y) = -11*y + 27. Let o be -3 + -3*2/(-1). Let l be b(o). Is 7 at least l? True Let u = 136276781/2419 - 56336. Which is bigger: 0 or u? 0 Suppose -472*w + 469*w + 306 = 0. Which is smaller: 104 or w? w Let g = 1431 - 706. Let q be 3/(-9)*20*9135/(-84). Is q greater than or equal to g? True Suppose 3 = r + 4*c, -2*c = 3*r - 0*c - 19. Suppose 2*z + r*z - 9 = 0. Suppose -z + 4 = -3*x. Which is bigger: 1/21 or x? 1/21 Suppose 101*w - 37149 = 284*w. Which is bigger: w or -209? w Let i = -33 + -16. Let t be -58 - -2 - (-11 + (0 - -10)). Which is greater: i or t? i Let r be 6/4 + 37506/28. Suppose f - 4 = 0, 4*g - 3*f + r = 45. Is -321 at least as big as g? True Suppose -5508 = -768*n + 746*n - 5*q, n - 4*q - 318 = 0. Suppose -5*x - 2*d + 1260 = 0, 0*x - 4*d = -3*x + 782. Is n at most as big as x? True Suppose -4*n - 314 = 3*d, 5*d = 2*n + 48 + 96. Suppose 2*z + 5*y - 154 = -346, -3*y = 5*z + 404. Which is smaller: n or z? n Let q = -8075.07 - -8113. Let p = q - -0.07. Let l = -33 + p. Which is bigger: -5 or l? l Suppose -l - 8*o = -11*o - 81, 5*l = o + 419. Let g = -83 + l. Is g <= -144? False Let m = -7.4 + -2.6. Let j = -98 - -115. Let r = j + m. Which is smaller: 0 or r? 0 Let v be (-8)/22 + (-325520)/(-1209780). Which is bigger: v or 1? 1 Let d = 10 - 6. Suppose 725 = -6*z + 101. Let o be ((-3)/(-6))/((-16)/z).
{ "pile_set_name": "DM Mathematics" }
ollect the terms in -3*i + 4*i**3 + 3*i - 3*i**2. 4*i**3 - 3*i**2 Collect the terms in -14*c**2 + c**2 - c**2. -14*c**2 Collect the terms in 331*f + 5*f**2 - 655*f - 2*f**2 + 324*f. 3*f**2 Collect the terms in 6*q**2 - 5*q**2 + 0*q**2 + 4*q**2. 5*q**2 Collect the terms in 14 - 16 + 26 - 5*o**2. -5*o**2 + 24 Collect the terms in -214*z + 6*z**2 - 3*z**2 + 208*z. 3*z**2 - 6*z Collect the terms in -8*f - 1 + 15*f + 1 - 4*f. 3*f Collect the terms in 50 + w**2 + 52 - 102 + 2*w**2. 3*w**2 Collect the terms in 96*t - 46*t - 42*t. 8*t Collect the terms in -5*g**3 + 2*g**3 + 2*g**3 - g**3 + 5*g**2. -2*g**3 + 5*g**2 Collect the terms in -5 - 4 - 15*d + 7. -15*d - 2 Collect the terms in -3702*o + 3702*o + o**2. o**2 Collect the terms in -23*j + 31*j - 3*j. 5*j Collect the terms in -3907 - 4*a - 3904 + 7811. -4*a Collect the terms in 4 - 23*r - 3*r**2 + 23*r + 2. -3*r**2 + 6 Collect the terms in 23*a**2 + 72*a - 7*a**2 - 72*a. 16*a**2 Collect the terms in -52*c**3 + 72*c**3 + 149*c**3. 169*c**3 Collect the terms in 3*d**3 + 0*d**3 + 3*d**3 - 9*d**3. -3*d**3 Collect the terms in 6*m**2 + 0*m**2 + m**2. 7*m**2 Collect the terms in 22*k**2 + k**2 - 42*k**2 + 11*k**2. -8*k**2 Collect the terms in 0*a**3 - 14*a + 24*a - 16*a - 4*a**3. -4*a**3 - 6*a Collect the terms in -9*m**2 - 3*m**2 - 5*m**3 - 8*m**2 + 0*m**3. -5*m**3 - 20*m**2 Collect the terms in 43*j**2 + 3 - 45*j**2 + 3 - 6. -2*j**2 Collect the terms in 112*y**3 + 129*y**3 - 243*y**3. -2*y**3 Collect the terms in 231*a**2 + 110*a**2 - 21*a**2. 320*a**2 Collect the terms in z**3 - 5*z + 3*z - 7*z**3 + 2*z. -6*z**3 Collect the terms in -119*a**2 + 73*a**2 + 44*a**2. -2*a**2 Collect the terms in -3 - 2 + 5*u + 2. 5*u - 3 Collect the terms in -2*w**3 + 20*w**3 + 0*w**3. 18*w**3 Collect the terms in -11*k + 9 + 11*k - 2*k**3. -2*k**3 + 9 Collect the terms in 2 + 5 - 3*w**2 + 2*w**2 - w**2. -2*w**2 + 7 Collect the terms in o**2 - 27*o + 11*o + 16*o. o**2 Collect the terms in 44*t**3 - 27*t**3 - 32*t**3. -15*t**3 Collect the terms in 0*h**2 - 6*h**2 - h**2 - h**2 + 11*h. -8*h**2 + 11*h Collect the terms in 50*i**2 - 29*i**2 - 18*i**2. 3*i**2 Collect the terms in -1367*f**2 + 698*f**2 + 679*f**2. 10*f**2 Collect the terms in 3*b**3 + 7*b**3 - 5*b**3. 5*b**3 Collect the terms in 2*z**2 - 27 + 27. 2*z**2 Collect the terms in -2 - 6132*y - 5231*y + 1557*y. -9806*y - 2 Collect the terms in 16*z**3 + 17*z**3 - 18*z**3. 15*z**3 Collect the terms in -2*d**2 + 2*d**2 - 10 - 3*d**3 - 2*d**3. -5*d**3 - 10 Collect the terms in 10*s + 3*s - 2*s - 1 - 5. 11*s - 6 Collect the terms in -2*i - 3*i - 37 + 26. -5*i - 11 Collect the terms in 7*s - 591*s**3 + 0*s - 7*s. -591*s**3 Collect the terms in 234 - 234 - 3*q. -3*q Collect the terms in 2*u**3 + 3*u - 3*u + 24*u**3. 26*u**3 Collect the terms in -2*i + 304*i**2 - 605*i**2 + 298*i**2 + 2*i. -3*i**2 Collect the terms in -136*f**3 + 287*f**3 - 147*f**3 - 7*f + 7*f. 4*f**3 Collect the terms in 33*g**3 + 2*g - 2*g + 11*g**3. 44*g**3 Collect the terms in -2585 + 2585 + 4*j**3. 4*j**3 Collect the terms in 10*b**2 - 3504 + 3504. 10*b**2 Collect the terms in -5*i + 5*i - i + 133*i**2. 133*i**2 - i Collect the terms in -5741*y**3 - 5747*y**3 + 11487*y**3. -y**3 Collect the terms in -4*m - 11*m - 12*m - 12*m + 38*m. -m Collect the terms in 2828*j - 941*j - 950*j - 941*j. -4*j Collect the terms in -1236*o**2 - 1 + 1. -1236*o**2 Collect the terms in -64*d**3 + 16*d**3 + 15*d**3 + 25*d**3 + 2*d. -8*d**3 + 2*d Collect the terms in y**3 + 30 - 30. y**3 Collect the terms in 98 - 98 + 4*j**2. 4*j**2 Collect the terms in -195*q**3 + 3*q**3 - 47*q**3 + 43*q**3. -196*q**3 Collect the terms in -5558*s + 5558*s + 2*s**3. 2*s**3 Collect the terms in -3*b**2 + 6*b**2 - 9 + 29 - 20. 3*b**2 Collect the terms in 8*v - v + 2*v + 7*v. 16*v Collect the terms in -21*w + 52*w - 18*w - 16*w. -3*w Collect the terms in -309*i + 156*i + 153*i + 7*i**2. 7*i**2 Collect the terms in -985 + 3*g + 985. 3*g Collect the terms in -5*l**3 - 487*l**2 + 487*l**2 + 13*l**3. 8*l**3 Collect the terms in -837*a**2 + 837*a**2 - 4*a**3. -4*a**3 Collect the terms in -21*l**2 + 16*l**2 + 11*l**2 - 9. 6*l**2 - 9 Collect the terms in 242*w**2 + 3*w + w - 6*w. 242*w**2 - 2*w Collect the terms in -8*k + 20*k - 16*k. -4*k Collect the terms in 2 - 2 + 18*w - 287*w. -269*w Collect the terms in 413*m**3 - 188*m**3 - 227*m**3. -2*m**3 Collect the terms in -9*p**2 - 126 + 126. -9*p**2 Collect the terms in 2 - 7 - 2*r + 10*r. 8*r - 5 Collect the terms in -23*c**3 - 9*c**3 + 33*c**3. c**3 Collect the terms in 404*s + 406*s - 1605*s + 398*s + 399*s. 2*s Collect the terms in -358*s**2 + 695*s**2 - 352*s**2. -15*s**2 Collect the terms in 0*g**2 + 0*g**2 + 3*g**3 + 15 + 0. 3*g**3 + 15 Collect the terms in 2*g**3 - 85035 + 85035. 2*g**3 Collect the terms in -61*j + 3*j**2 + 112*j - 51*j - 7*j**2. -4*j**2 Collect the terms in -12*n + 9*n - 14*n - 7*n. -24*n Collect the terms in -w**2 - 76274*w + 76274*w. -w**2 Collect the terms in 7*r + r + r - r. 8*r Collect the terms in -3*i - 2*i + 4*i + 6*i. 5*i Collect the terms in -6 - 3 + u - 5 - 1. u - 15 Collect the terms in -2*m - 10 + 40 + 18 + 24. -2*m + 72 Collect the terms in 4*c**2 + 22 - 33*c + 33*c. 4*c**2 + 22 Collect the terms in u**3 + 10*u**3 - 45 + 45. 11*u**3 Collect the terms in 3*t**2 + 57*t - 57*t. 3*t**2 Collect the terms in 22*t - 7*t - 9*t - 9*t + 4*t. t Collect the terms in 15*g + 16*g - 12*g. 19*g Collect the terms in -6*n + 0*n - 3*n. -9*n Collect the terms in 57 + 1 + 2*u**2 + 1. 2*u**2 + 59 Collect the terms in -591 - 4*r**2 + r**2 + 2*r**2. -r**2 - 591 Collect the terms in -12*o + 47*o - 34*o. o Collect the terms in -60*b**2 + 125*b**2 + 98*b**2 + 13*b**2. 176*b**2 Collect the terms in 2*b - 2*b - 130*b**3. -130*b**3 Collect the terms in 0 - 23 + 1 - y**3. -y**3 - 22 Collect the terms in -4*v**2 + 32*v - 10*v + 29*v - 51*v. -4*v**2 Collect the terms in 217 - 4*i + 3*i - 217. -i Collect the terms in 211*j**3 + 246*j**3 - 501*j**3. -44*j**3 Collect the terms in -5*k**2 + 2*k + 15*k**2 - 2*k. 10*k**2 Collect the terms in -84 - 39 - 5*p**2 + p**2 + 2*p**2. -2*p**2 - 123 Collect the terms in 12*w**2 + 12*w**2 - 34*w**2 + 9*w**2. -w**2 Collect the terms in 3*o**2 + 22272 - 22272. 3*o**2 Collect the terms in 106*k**3 - 220*k**3 + 130*k**3. 16*k**3 Collect the terms in 37*w**3 + 30*w**3 + 39*w**3 + 38*w**3 - 145*w**3. -w**3 Collect the terms in 227*k**3 - 31 + 31. 227*k**3 Collect the terms in 11*r**3 - 7*r**3 + 0*r**3 + 27*r**3. 31*r**3 Collect the terms in 27 - 16 + 22*z - 11. 22*z Collect the terms in -2247*s + 1 - 1 + 762*s. -1485*s Collect the terms in -2 + 2*r + 4 - 2 - 5*r. -3*r Collect the terms in 142*f**2 + 3*f**3 - 73*f**2 - 69*f**2. 3*f**3 Collect the terms in 15*n**2 + 25 + 6*n**2 - 25 - 31*n**2. -10*n**2 Collect the terms in -17*s**2 + 2*s + 11*s**2 - 2*s. -6*s**2 Collect the terms in 0*s + 2159*s**3 + 0*s - 2162*s**3. -3*s**3 Collect the terms in 1 + 0 - 8*q + q. -7*q + 1 Collect the terms in -d**2 + 3888 - 3888. -d**2 Collect the terms in 13*a**2 - 14*a**2 - 90*a + 90*a. -a**2 Collect the terms in 3*g - 2*g - 3*g - 5*g - 2*g. -9*g Collect the terms in -b + 2*b - 2*b - 50*b**2. -50*b**2 - b Collect the terms in 2*x**3 + 46*x**2 + 3*x**3 - 4*x**3 - 46*x**2. x**3 Collect the terms in 9*d**2 + 26*d**2 - 13*d**2. 22*d**2 Collect the terms in -72*b - 4*b - 25*b - 2*b**2 + 0*b**2. -2*b**2 - 101*b Collect the terms in -2*p - 3 - 4 - 3. -2*p - 10 Collect the terms in 3*x + 3*x - x - 3*x. 2*x Collect the terms in 20*q**2 + 2*q**2 - 9*q**2. 13*q**2 Collect the terms in -17*w**3 - 5*w + 2 - 2. -17*w**3 - 5*w Collect the terms in 10*i - i + 197 - 197. 9*i Collect the terms in -13*h + 9*h + 8*h. 4*h Collect the terms in 29*a - 12*a - 13*a. 4*a Collect the terms in 4 + 7 + 3*v**2 - 4*v**2. -v**2 + 11 Collect the terms in -z**2 + 167 - 77 + 744. -z**2 + 834 Collect the terms in 16*h - 31*h + 15*h - 7*h**3. -7*h**3 Collect the terms in 1 + 46*t**2 + 25*t**2 + 126*t**2 + 1. 197*t**2 + 2 Collect the terms in 96*t - 46*t - 47*t. 3*t Collect the terms in -4*z + 5*z - 1 + 8*z. 9*z - 1 Collect the terms in 20*q**3 + 2*q**3 - 3*q**3. 19*q**3 Collect the terms in 5*w**2 + 5*w**2 - 12*w + 12*w. 10*w**2 Collect the terms in 188*a + 184*a - 396*a. -24*a Collect the terms in 7*y**2 - 5*y**2 + 23*
{ "pile_set_name": "DM Mathematics" }
? 258 What is 14979828 to the power of 1/2, to the nearest integer? 3870 What is the cube root of 328207 to the nearest integer? 69 What is 115447 to the power of 1/3, to the nearest integer? 49 What is the fifth root of 82080 to the nearest integer? 10 What is the third root of 186458 to the nearest integer? 57 What is 25128179 to the power of 1/2, to the nearest integer? 5013 What is the square root of 1386778 to the nearest integer? 1178 What is 253547 to the power of 1/4, to the nearest integer? 22 What is 25359028 to the power of 1/3, to the nearest integer? 294 What is the sixth root of 16384531 to the nearest integer? 16 What is the tenth root of 48829 to the nearest integer? 3 What is the square root of 351610 to the nearest integer? 593 What is 1659237 to the power of 1/6, to the nearest integer? 11 What is the sixth root of 1100511 to the nearest integer? 10 What is the cube root of 2320221 to the nearest integer? 132 What is the third root of 4092385 to the nearest integer? 160 What is the square root of 411990 to the nearest integer? 642 What is the seventh root of 66262 to the nearest integer? 5 What is the third root of 515820 to the nearest integer? 80 What is 6613120 to the power of 1/3, to the nearest integer? 188 What is the cube root of 4320478 to the nearest integer? 163 What is 1051444 to the power of 1/2, to the nearest integer? 1025 What is the cube root of 14930998 to the nearest integer? 246 What is 524393 to the power of 1/7, to the nearest integer? 7 What is the seventh root of 701812 to the nearest integer? 7 What is 1550678 to the power of 1/8, to the nearest integer? 6 What is 6181429 to the power of 1/3, to the nearest integer? 184 What is the third root of 3060277 to the nearest integer? 145 What is 349010 to the power of 1/2, to the nearest integer? 591 What is the cube root of 1634374 to the nearest integer? 118 What is the square root of 6924559 to the nearest integer? 2631 What is 226020 to the power of 1/10, to the nearest integer? 3 What is the cube root of 222910 to the nearest integer? 61 What is 1839126 to the power of 1/2, to the nearest integer? 1356 What is 121241 to the power of 1/7, to the nearest integer? 5 What is the sixth root of 8817117 to the nearest integer? 14 What is 82045 to the power of 1/4, to the nearest integer? 17 What is the square root of 892128 to the nearest integer? 945 What is the ninth root of 614956 to the nearest integer? 4 What is 2037080 to the power of 1/2, to the nearest integer? 1427 What is 303135 to the power of 1/8, to the nearest integer? 5 What is the cube root of 242871 to the nearest integer? 62 What is the square root of 40706 to the nearest integer? 202 What is 16104489 to the power of 1/4, to the nearest integer? 63 What is the square root of 23397310 to the nearest integer? 4837 What is the third root of 280094 to the nearest integer? 65 What is the square root of 625630 to the nearest integer? 791 What is 1287479 to the power of 1/3, to the nearest integer? 109 What is the third root of 1650316 to the nearest integer? 118 What is 81504 to the power of 1/6, to the nearest integer? 7 What is the fourth root of 6320630 to the nearest integer? 50 What is the ninth root of 14143392 to the nearest integer? 6 What is 685825 to the power of 1/2, to the nearest integer? 828 What is 3587737 to the power of 1/9, to the nearest integer? 5 What is the square root of 4447907 to the nearest integer? 2109 What is the ninth root of 989133 to the nearest integer? 5 What is the square root of 1287322 to the nearest integer? 1135 What is the seventh root of 3557538 to the nearest integer? 9 What is the third root of 128578 to the nearest integer? 50 What is 288633 to the power of 1/10, to the nearest integer? 4 What is 224078 to the power of 1/2, to the nearest integer? 473 What is 7392622 to the power of 1/3, to the nearest integer? 195 What is the square root of 1215458 to the nearest integer? 1102 What is 324763 to the power of 1/8, to the nearest integer? 5 What is the square root of 2401145 to the nearest integer? 1550 What is 235480 to the power of 1/3, to the nearest integer? 62 What is 5814503 to the power of 1/6, to the nearest integer? 13 What is the sixth root of 1888287 to the nearest integer? 11 What is 213362 to the power of 1/7, to the nearest integer? 6 What is the cube root of 10083270 to the nearest integer? 216 What is the cube root of 2962789 to the nearest integer? 144 What is 9499323 to the power of 1/3, to the nearest integer? 212 What is 38285262 to the power of 1/3, to the nearest integer? 337 What is the ninth root of 20035675 to the nearest integer? 6 What is 3906964 to the power of 1/3, to the nearest integer? 157 What is 23406409 to the power of 1/3, to the nearest integer? 286 What is the cube root of 205571 to the nearest integer? 59 What is the third root of 186708 to the nearest integer? 57 What is the square root of 3592618 to the nearest integer? 1895 What is 83 to the power of 1/2, to the nearest integer? 9 What is 10249 to the power of 1/9, to the nearest integer? 3 What is the third root of 6844020 to the nearest integer? 190 What is 94290 to the power of 1/3, to the nearest integer? 46 What is 154390 to the power of 1/5, to the nearest integer? 11 What is 2644755 to the power of 1/10, to the nearest integer? 4 What is the third root of 66120 to the nearest integer? 40 What is the square root of 202103 to the nearest integer? 450 What is 9872493 to the power of 1/7, to the nearest integer? 10 What is 2584851 to the power of 1/6, to the nearest integer? 12 What is the third root of 8114629 to the nearest integer? 201 What is 401001 to the power of 1/8, to the nearest integer? 5 What is the sixth root of 457013 to the nearest integer? 9 What is 119868 to the power of 1/2, to the nearest integer? 346 What is 2446801 to the power of 1/2, to the nearest integer? 1564 What is the cube root of 663471 to the nearest integer? 87 What is the square root of 744557 to the nearest integer? 863 What is the cube root of 35726 to the nearest integer? 33 What is 2638759 to the power of 1/3, to the nearest integer? 138 What is the third root of 245679 to the nearest integer? 63 What is the eighth root of 5597787 to the nearest integer? 7 What is the square root of 853080 to the nearest integer? 924 What is the square root of 17833226 to the nearest integer? 4223 What is 352061 to the power of 1/2, to the nearest integer? 593 What is 945209 to the power of 1/3, to the nearest integer? 98 What is the seventh root of 7711978 to the nearest integer? 10 What is 5610601 to the power of 1/8, to the nearest integer? 7 What is 99516 to the power of 1/3, to the nearest integer? 46 What is the square root of 253358 to the nearest integer? 503 What is the square root of 240488 to the nearest integer? 490 What is the square root of 1365358 to the nearest integer? 1168 What is the square root of 776017 to the nearest integer? 881 What is 3372061 to the power of 1/3, to the nearest integer? 150 What is 1824710 to the power of 1/5, to the nearest integer? 18 What is the seventh root of 1006773 to the nearest integer? 7 What is the square root of 1078849 to the nearest integer? 1039 What is the seventh root of 14455044 to the nearest integer? 11 What is the third root of 48605 to the nearest integer? 36 What is 10694149 to the power of 1/2, to the nearest integer? 3270 What is 231988 to the power of 1/2, to the nearest integer? 482 What is 1723699 to the power of 1/7, to the nearest integer? 8 What is the fourth root of 116441 to the nearest integer? 18 What is the eighth root of 12471076 to the nearest integer? 8 What is the third root of 8157518 to the nearest integer? 201 What is 133338 to the power of 1/4, to the nearest integer? 19 What is 14008553 to the power of 1/6, to the nearest integer? 16 What is the cube root of 51834 to the nearest integer? 37 What is 3862817 to the power of 1/7, to the nearest integer? 9 What is the fifth root of 1801062 to the nearest integer? 18 What is the cube root of 8381107 to the nearest integer? 203 What is 133289 to the power of 1/2, to the nearest integer? 365 What is the eighth root of 1540760 to the nearest integer? 6 What is
{ "pile_set_name": "DM Mathematics" }
olve -5960*a - 94249 - 7071 = 0 for a. -17 Solve -208421 = -4989*u + 6106 for u. 43 Solve -118370*w = -118285*w + 2635 for w. -31 Solve 205*a + 265*a + 1540 = 393*a for a. -20 Solve 11392 = -78*s - 518*s - 281*s - 7902 for s. -22 Solve 209919 = -8329*o - 606323 for o. -98 Solve -313*k + 158796 - 184462 = 0 for k. -82 Solve 1759*d = -1081*d + 289*d + 211733 for d. 83 Solve 36617 = -2080*y - 55533 - 16010 for y. -52 Solve 4059*u - 8990 = -155114 for u. -36 Solve 891*h + 15252 + 16430 = -4552 + 9504 for h. -30 Solve 473*s - 37500 = -66*s + 4542 for s. 78 Solve 106892*v + 58291 = 106071*v for v. -71 Solve 16981 - 81561 = 14084*t - 15127*t + 74139 for t. 133 Solve 110*u - 1022 = -128*u - 119*u + 343*u for u. 73 Solve 97*z + 102*z + 5*z = 9*z + 20*z for z. 0 Solve 4317*o - 89 + 973 + 1659 = -1774 for o. -1 Solve 95388 = -11660*r - 429312 for r. -45 Solve -32759 = -981*p + 126*p - 4425 + 66571 for p. 111 Solve -716 + 758 = -3*i for i. -14 Solve -219*u - 90*u - 1329 = 172*u - 14316 for u. 27 Solve 1803*h = -199*h + 85379 - 9303 for h. 38 Solve 1475*i + 134 = 452*i + 134 for i. 0 Solve 245*x - 1425 = -106*x + 2929 - 32434 for x. -80 Solve 2806*j + 35501 = 64555 + 83186 for j. 40 Solve 23815 - 25246 = -53*o for o. 27 Solve -509*b + 108430 + 10910 = -1655*b - 609*b for b. -68 Solve -1159880 = -1331*k - 1004153 for k. 117 Solve -62*b + 98*b = 113*b - 589 - 566 for b. 15 Solve 17*m - 219*m + 18*m = -6992 for m. 38 Solve -167*p - 772*p = 126*p + 1220*p + 146240 for p. -64 Solve 2110*v + 9123 = -5949*v + 1883*v - 3229 for v. -2 Solve -416*o - 22542 = 608*o - 77*o + 5868 for o. -30 Solve -35111*w + 35135*w = 120 for w. 5 Solve 278*r - 3350 - 2226 = 3876 for r. 34 Solve -201*f = 99278 - 92444 for f. -34 Solve -5464 - 1826 = -70*j - 173*j for j. 30 Solve 59*c - 13653 = 203*c + 189*c for c. -41 Solve 348*v + 357*v - 1259*v + 14125 = -441*v for v. 125 Solve 3262*b + 4745*b - 1498*b = -1478*b + 591038 for b. 74 Solve -120*o = 2123 + 6826 + 7000 - 1909 for o. -117 Solve -747*g - 2271 - 36487 = -3649 for g. -47 Solve 7*u + 21*u + 858 = 14*u - 19*u for u. -26 Solve 897 = 11*m + 10*m - 64*m + 82*m for m. 23 Solve -756*t - 68439 = -141771 for t. 97 Solve 173281 = 3521*u - 914*u - 32672 for u. 79 Solve -229*g = -108*g - 102*g - 627 for g. 33 Solve -260 = -36*w + 109*w + 99 + 79 for w. -6 Solve 72*z - 27*z = -143*z + 9*z + 5370 for z. 30 Solve 0 = 2490*h + 2640*h - 1689*h - 59431 - 122942 for h. 53 Solve 7329 = -1467*n + 88014 for n. 55 Solve -117*s - 24069 = -18453 for s. -48 Solve -34*v - 929 = -17*v - 895 for v. -2 Solve 0 = -62*u + 2901 + 2413 + 2317 + 615 for u. 133 Solve 9353 = -4219*f + 911*f - 9477 - 10942 for f. -9 Solve -552*i + 85848 = -293*i + 2390*i + 928*i for i. 24 Solve 0 = -181*b - 246*b - 20892 - 18819 for b. -93 Solve 1068*f - 248 - 502 = 1299*f + 174 for f. -4 Solve 6604 = -79*n - 96*n + 1354 for n. -30 Solve 31364313*r - 1820 = 31364404*r for r. -20 Solve 152*f - 532*f - 13972 + 6288 - 19296 = 0 for f. -71 Solve 333 = 58*u - 1125 + 240 for u. 21 Solve -3414*v - 9943 - 33792 = 41615 for v. -25 Solve -33055 = -49*d - 30213 for d. 58 Solve 28*q - 1249*q + 39072 = 0 for q. 32 Solve -1957 = -122*t + 195*t + 1109 for t. -42 Solve 125*r + 220*r + 193*r = 437*r - 505 for r. -5 Solve -1698*m = 486*m + 20290 + 8102 for m. -13 Solve 180*d + 1064200 - 1056100 = 0 for d. -45 Solve 2252*z = -1289*z - 155*z - 19930 + 104938 for z. 23 Solve -661*v - 828*v - 141*v - 32760 = -370*v for v. -26 Solve 115*i = 21886 - 29016 for i. -62 Solve 0 = 70*y - 261*y - 7244 - 4598 for y. -62 Solve 24*u + 10*u - 581 + 33 = 1764 for u. 68 Solve 848961*q - 1536 = 848985*q for q. -64 Solve -636*x - 9254670 = -9289650 for x. 55 Solve 210*s - 46*s = 49*s + 17*s - 3724 for s. -38 Solve -13200 = -266273*o + 266033*o for o. 55 Solve 2245*v - 1050*v - 1172*v = -2438 for v. -106 Solve -3712 + 8362 = 15*w + 34*w + 4013 for w. 13 Solve -2232*h = 128179 - 27739 for h. -45 Solve -22507*l + 20026*l = 39696 for l. -16 Solve 367976 = 5173*b + 47969 - 719 for b. 62 Solve -73*a - 22035 = -500*a + 12873 - 2883 for a. 75 Solve 0 = 21914*z + 188776 + 325952 + 98864 for z. -28 Solve -860*s + 10219 = -24738 - 31263 for s. 77 Solve -7718*f + 1993*f - 6530*f - 428925 = 0 for f. -35 Solve -6021*w = 299*w - 183280 for w. 29 Solve 0 = 649*a - 7741369 + 7640774 for a. 155 Solve -3078*y + 1038*y = -1044*y - 1061*y - 1430 for y. -22 Solve -163*k + 371*k - 1929*k = -7492 + 40191 for k. -19 Solve 730*x - 720 = 760*x for x. -24 Solve -165818 = -2254*d - 353*d + 71419 for d. 91 Solve 717 = -21*x - 123 for x. -40 Solve -49*r = 535 - 1341 - 1301 for r. 43 Solve -123*o + 445 + 4103 = 735 for o. 31 Solve 24*t + 722 = 78*t - 466 for t. 22 Solve -167*s - 72*s + 11102 = 8853 - 12330 for s. 61 Solve 815 + 24010 = 331*k for k. 75 Solve -2987 = 189*s + 3628 for s. -35 Solve -759*z - 752*z = -1506*z - 200 for z. 40 Solve 0 = -1247*w - 1901*w + 441*w - 868*w - 103675 for w. -29 Solve 1765*g + 234*g + 172473 = -2012*g for g. -43 Solve 778*o = 214529 - 239425 for o. -32 Solve -2865763*z - 680 = -2865780*z for z. 40 Solve -101*m - 1218 = 2115 for m. -33 Solve -25688 + 161211 = 2297*s for s. 59 Solve 106897 - 116557 = 230*k for k. -42 Solve 377*d = -263*d - 22400 for d. -35 Solve 467 = -122*d + 30*d - 986 + 165 for d. -14 Solve 1397*l + 5317 - 41639 = 0 for l. 26 Solve -94*l = 70*l - 333*l - 1183 for l. -7 Solve -1208*t = -1377*t - 7436 for t. -44 Solve -739*i + 8003 = -2240*i + 74047 for i. 44 Solve 6*f + 62*f = 3400 for f. 50 Solve -316 = 1299*q - 43183 for q. 33 Solve 28274*b + 2081 = 28219*b - 119 for b. -40 Solve 30*p - 1092 - 1566 = -1758 for p. 30 Solve -2403*f + 4585*f - 65460 = 0 for f. 30 Solve -55861712 = 160*d - 55850352 for d. -71 Solve 26046 = -82*p + 33262 for p. 88 Solve -42*a - 635 - 939 = 862 for a. -58 Solve 113*t + 1351 = -13*t + 7280 + 749 for t. 53 Solve -30*n = -153590 + 154880 for n. -43 Solve 479*t - 837 = 112*t - 4140 for t. -9 Solve 37*t - 107 = 81 + 34 for t. 6 Solve -11*o = 53*o - 280 + 6 - 46 for o. 5 Solve -2574*o - 2626*o + 2856 = -5256*o for o. -51 Solve 0 = 59*a - 91246 + 90007 for a. 21 Solve 157148*o - 157401*o - 8349 = 0 for o. -33 Solve -19120*v + 61800 = -21180*v for v. -30 Solve 92*k + 682*k + 50796 = -720*k for k. -34 Solve 0 = 1176*t - 1097*t + 1264 for t. -16 Solve -38*w - 56 - 366 = -4 for w. -11 Solve -34400 = 1887165*z - 1888025*z for z. 40 Solve 357*d - 16615 = -1264 for d. 43 Solve 5440*g - 5792*g + 24416 = -6912 for g. 89 Solve -2127 = 216*d + 31*d + 2813 for d. -20 Solve 203530*j = 203562*j + 64 for j. -2 Solve 303*h - 47*h = -7*h - 257*h + 3120 for h. 6 Solve 9026*s + 75025 = -647055 for s. -80 Solve 27*o + 91 - 27 = -71 for o. -5 Solve 0 = -3396*f + 563*f + 355566 - 111928 for f. 86 Solve 1507 - 1222 = -95*q for q. -3 Solve -309841*z = -309883*z - 126 for z. -3 Solve 0 = 153*m - 188*m + 5115 - 4555 for m. 16 Solve 0 = 260*j - 3429*j + 196*j - 8037 - 882 for j. -3 Solve -34384 - 25291 + 20994 = 263*p + 560*p for p. -47 Solve 107*t + 1067 = 1648*t - 474 for t. 1 Solve 621*t + 30089 = 11459 for t. -30 Solve 2161 - 7230 + 12999 + 12170 = -201*x for x. -100 Solve -1664 = 295*q + 5236 - 2180 for q. -16 Solve 95*y - 6709 = -5664 for y. 11 Solve -339*t - 950 = 160*t - 309*t for t. -5 Solve 324125*n - 6670 = 324355*n for n. -29 Solve -308821 = -2913*c - 671*c + 256*c - 105813 for c. 61 Solve 65*b - 50253 + 18283 - 16502 = 649*b for b. -83 Solve 1218997*g - 1218955*g + 591 = 1893 for g. 31 Solve -219*i + 112549 = 110359 for i. 10 Solve -1610 = 93*a + 197 + 53 for a. -20 Solve 0 = -11060*o + 14100*o - 79040 for o. 26 Solve 1641*d - 3186*d = -1634*d - 7832 for d. -88 Solve 1112*p - 254380 = -3374*p + 1266*p for p. 79 Solve 428*v + 779*v + 2088*v = -6666 + 352641 for v. 105 Solve -7*b + 6380 = -123*b for b. -55 Solve 21449*y - 14493*y + 257372 = 0 for y. -37 Solve 0 = -8407*i + 400*i - 640560 for i. -80 Solve -59*o - 7 - 40 = -8*o - 506 for o. 9 Solve 0 = 5264*a + 131*a + 231985 for a. -43 Solve -8*k + 28*k + 294 = -18*k - 86 for k. -10 Solve 372 = -45317*w + 45255*w for w. -6 Solve -791*u = -888*u - 317*u + 2804 + 9616 for u. 30 Solve 534*j + 8715 = -2182 + 2887 for j. -15 Solve -573*t = 621349 - 597283 for t. -42 Solve -469624 = 16421*m - 6429*m for m. -47 Solve 615*j - 74*j - 988 + 13117
{ "pile_set_name": "DM Mathematics" }
1))*(0 + 1 + 1)*(-3*p + p + p) to d + w*p**2 + n*p and give w. -4 Express (15 + 16 - 28)*(-3*i**3 + 0*i**3 + 4*i**3) as x*i**3 + v + s*i**2 + q*i and give x. 3 Rearrange 31 - 10*h**2 - 17 - 28*h**2 - 16 to k + l*h + o*h**2 and give k. -2 Rearrange (-1 + 2 + 1)*(112 + 15*z**2 + 14*z**2 - 28*z**2) to r + n*z + t*z**2 and give r. 224 Express (29 - 14 - 24 - 6*p + (p - p - p)*(2 - 1 + 0))*(2 + 2 - 1) as l + g*p and give g. -21 Rearrange (-6 + 2 + 2)*(-x**2 - 3*x**2 + x**2) + x**2 - 1 + 1 to a + c*x + r*x**2 and give r. 7 Rearrange (2 + 10*s**2 - 4*s**2 - 4*s**2 + 12*s)*(-3 + 3 - s**2) to the form x + c*s**3 + z*s**2 + q*s + n*s**4 and give n. -2 Rearrange -5*p**3 - 9*p**2 + 7*p**2 - 2 + 10*p**3 to the form m*p**3 + f*p**2 + s*p + g and give g. -2 Express 2*k**3 + 6*k**2 - 21*k + 21*k in the form h*k + d*k**2 + x + f*k**3 and give d. 6 Rearrange (-18 - 3 + 6)*(u**4 - 3*u**4 - 2*u**4) to the form z*u + k*u**3 + n + s*u**2 + m*u**4 and give z. 0 Express -4*w + 6*w + 0*w + w + w - 3*w + (-4*w - 20 + 20)*(-2 + 1 + 3) - 4 - w + 4 in the form d + y*w and give y. -8 Rearrange (u**3 + 0*u**3 + 2*u**3)*(3 - 2 - 3)*(5*u - 16*u - 12*u) to f*u + m + d*u**3 + g*u**2 + v*u**4 and give v. 138 Rearrange (-43*d - 40*d + 5*d)*(3*d - d + 0*d) to m*d**2 + x*d + p and give m. -156 Express (1 + 1 + 0)*((-l + 2*l + 0*l)*(l**3 - l**3 - 2*l**3) - 2*l**4 + l**2 - l**2) as y*l + h*l**3 + v*l**2 + s + t*l**4 and give t. -8 Express (120 - 120 + 8*t)*(3 + 0 - 1)*(5 - 3 - 4) in the form o + u*t and give u. -32 Express 20*p**2 + 33*p**2 - 16*p**2 as w*p**2 + d*p + i and give w. 37 Express 5*m**2 + 3*m**2 + 1 + m + 3*m**3 - 10*m**2 as t*m**2 + g*m**3 + d + u*m and give d. 1 Express (4 + 1 + 2 - 2 - 2 + 2 + (-5 + 1 + 2)*(2 + 1 - 1) + 3 - 3 + 2)*(5*h - 2 + 2) as i + w*h and give i. 0 Rearrange -2*k**3 + 3*k**3 - 2 + 3 to the form v + x*k + m*k**3 + j*k**2 and give v. 1 Rearrange -4*s**3 - s**3 + 3*s**3 - 3*s**2 - 6*s**4 to the form c*s**3 + f*s + a*s**2 + d*s**4 + m and give d. -6 Express -4*a - 5 + 2*a**3 + 2*a + 5*a**2 + 6 + 1 in the form v*a + p + l*a**2 + y*a**3 and give l. 5 Express (3*t**2 + 2*t**2 - 3*t**2)*(2 + 35 + 65) as d*t + l + k*t**2 and give k. 204 Express 4*q - 3*q - 11*q**3 + q**3 - 2*q**2 + 5*q**3 + q**4 as m + d*q**4 + a*q**2 + y*q**3 + c*q and give c. 1 Rearrange -8*s**4 - 2 + 5*s - 5*s**4 + 14*s**4 to the form a + b*s**4 + z*s**3 + n*s + y*s**2 and give a. -2 Express (13 - 5*t - 13)*(-t + 2 - 2) + (-1 - 2*t + 1)*(-2*t + 2*t - 2*t) - t + t**2 + t - t + 2*t**2 + t in the form i + c*t + g*t**2 and give g. 12 Rearrange 2*m**3 + 4*m**2 + 52 - 6*m**2 - 52 to v + x*m**3 + p*m**2 + a*m and give p. -2 Express (-4*k + 0*k + 3*k)*(-7 + 3 - 2) - 2 + 9*k - 10*k + 0 as p*k + o and give o. -2 Rearrange 0*w**2 + 3*w - 4*w - w**2 to the form x + a*w**2 + n*w and give n. -1 Express 2 - 2 - 7*l**2 + (2*l - 3*l - l)*(5*l - 2*l - 2*l) in the form o*l + a + i*l**2 and give i. -9 Express 5 + 3*b + 5 - 5 + 0*b as a + s*b and give a. 5 Rearrange -2*m**4 - 96 - 96 + 3*m**2 + 196 to a*m**3 + t*m**4 + h*m + o + s*m**2 and give o. 4 Rearrange (-2 + 0 + 3)*(-2*k - 12 + 12) to the form t + d*k and give d. -2 Express (12 - 4*f - 12)*((0 + 0 + 2*f)*(3 - 1 + 0) + 0*f - 3*f + 2*f) as q*f + k + w*f**2 and give w. -12 Express y**4 - 2*y**4 - 3*y**2 + 2*y**3 - 6*y**4 + 5*y**4 in the form u*y**2 + h*y + x*y**4 + z*y**3 + m and give z. 2 Express -40*k + 2 + 2*k**3 + 27*k**4 + 39*k + 0*k**3 as h*k**3 + z*k**2 + s*k + o + v*k**4 and give v. 27 Express (5*h**2 + h**3 + 0*h**3 - 4*h**2)*(-207 + 207 + 35*h) in the form o + w*h + p*h**4 + a*h**2 + z*h**3 and give z. 35 Express (-4 + 13 - 4)*(k + k - k)*(3 - 3 + 1)*(-3 + 4 + 2) in the form n + j*k and give j. 15 Rearrange -19*f + f + f to a*f + q and give a. -17 Express (a - 3*a + a)*(2*a - 2*a + 2*a) - 3*a**2 - 4*a**2 + 2*a**2 in the form y*a**2 + x + m*a and give y. -7 Express -2*u**3 - 2*u**3 - 4*u**2 + 1 + 12*u**3 + 1 in the form t*u**3 + p*u + d*u**2 + m and give d. -4 Express 21 - 21 + m - m**2 in the form j*m**2 + a*m + v and give a. 1 Rearrange (b - 4*b + 4*b)*(140*b - 71*b + 6 - 67*b) to y*b + t*b**2 + i and give t. 2 Express 2*r**3 + 6*r**3 + 3*r - 4*r + (-4 + 5 + 2)*(-r**3 + 0*r**2 + 0*r**2) as j*r + s*r**3 + p + t*r**2 and give s. 5 Express 4 - 2 + 213*y + 0 - 220*y - y**4 + y**3 in the form h*y**3 + m + u*y + v*y**4 + o*y**2 and give m. 2 Express -6 + 2*z + 2*z**4 + 4 - 4*z + 4 + 2*z**2 as f + k*z**3 + u*z**2 + q*z**4 + a*z and give u. 2 Rearrange (-2*c**3 + 4*c**3 + 0*c**3)*(0 - 2 + 3 + (-2 + 3 + 1)*(2 - 1 + 1) + 1 - 3 + 4 + 15 + 11 - 5)*(-3 + 2 + 2) to d*c**3 + w*c + z*c**2 + v and give d. 56 Express (4*r - 6*r + 4*r)*(-5*r**2 + 3*r**2 + r**2) + 0*r**3 + 12*r**3 + 0*r**3 - 2*r**3 + r**3 + 2*r**3 as v + l*r**2 + c*r**3 + u*r and give l. 0 Rearrange 4*v - 5*v + v + 3*v**2 to p + d*v**2 + c*v and give d. 3 Rearrange -2 + 0 - 32*a + 36*a + (-2 + 0 + 0)*(-a - 2*a + 2*a) to x*a + t and give t. -2 Express (39*r + 55*r - 17*r)*(5*r**3 - 2*r**3 - r**3) as t*r**3 + m + x*r**4 + y*r + d*r**2 and give x. 154 Express -2 + 10*b - b - 6*b - 13 in the form u + x*b and give x. 3 Express -2*t**3 + 8 + 0 - 4*t + 8*t - 2*t in the form x*t**3 + f*t**2 + b + l*t and give f. 0 Rearrange 0*b**2 - b + 0*b**2 + 2*b**2 - 3*b**4 to i*b**4 + f*b + z*b**3 + n + l*b**2 and give l. 2 Rearrange 5*h**3 - 1 + 3*h**4 - 8*h**3 - 3*h - 4*h**4 to r*h**2 + f*h**4 + n*h + y*h**3 + u and give u. -1 Rearrange 0*a**2 + a**3 + 5*a - 4*a**3 - 3*a**2 - 6*a to l*a**3 + m*a + q + t*a**2 and give m. -1 Express (-33*v - 25*v + 11*v)*(3 - 3 + 2*v)*(-5*v**2 + 4*v**2 + 3*v**2) as c*v**3 + r*v**4 + m + t*v + k*v**2 and give t. 0 Rearrange (-47 + 81 - 56)*(2*g + 5*g - g) to the form f*g + k and give f. -132 Rearrange -b - 4*b**3 + 4*b + 2*b**3 to the form y*b + v*b**2 + z*b**3 + j and give y. 3 Express -6*a**4 + 4*a**4 + 2*a**4 - a**4 - 4 - 2*a**3 in the form h*a + y + d*a**2 + v*a**4 + q*a**3 and give q. -2 Express 2*l - 3*l - l + (-4 - 1 + 3)*(2 + 2*l - 2) - 3 + 2*l + 3 + 2*l + 0*l - 4*l - l + 3*l - 3*l + 33 - 18 + 60*l - 13 in the form u + t*l and give u. 2 Rearrange (-i - 2*i**2 + i)*(2*i - 2*i - i + (14 + 0 + 2)*(5*i - 3*i - i)) to the form s*i**3 + x*i + p*i**2 + c and give s. -30 Express (-4*l**2 + l**2 + l**2)*(0*l**2 + l**2 + 0*l**2 + (-3*l - 11*l + 5*l)*(0 + 0 - 4*l)) in the form q + v*l**4 + x*l**2 + d*l**3 + f*l and give v. -74 Rearrange (-z + 5*z - 5*z + (0*z + z + 0*z)*(-1 + 1 + 3))*(2*z**2 - 2*z**2 - 2*z**2) to m*z**3 + u + d*z + x*z**2 and give d. 0 Rearrange 2*r**4 - 3*r**4 + 2*r**4 + (0*r**2 + 0*r**2 + 2*r**2)*(8*r**2 - 4*r**2 + r**2) to p*r + v*r**4 + q + j*r**2 + x*r**3 and give v. 11 Express -7 + 0*o**2 - 5 + 2*o**2 + 15 - 8*o**3 + 2*o + o**4 in the form k*o**3 + n*o + y*o**2 + u + q*o**4 and give u. 3 Express (4 - 1 - 4)*(-11*g + 74*g + 42*g) as s + z*g and give z. -105 Rearrange -2*b**3 + b**3 - b**3 + 0 + 3*b**3 + 0 + (b**2 - 2 + 2)*(b + b + 0*b) to the form g*b**3 + c*b**2 + n*b + r and give g. 3 Rearrange 2*m + 0*m + m + (-3 + 3 + 5)*(m - 1 + 1) - m + 3*m + 5 - 3*m to o + i*m and give i. 7 Express (-2*q + 3*q + q)*(-4 + 2 + 0) in the form r + o*q and give o. -4 Rearrange -34*m + 17*m + 12*m to the form g + b*m and give b. -5 Express 8*u + 14*u**4 - 27*u**4 + u**3 + 15*u**4 in the form p*u**3 + a*u**2 + d + x*u + g*u**4 and give d. 0 Rearrange (40*w - 65 + 65)*(-2 + 2 - 1) to s + n*w and give n. -40 Rearrange (5*n**2 + 5*n**2 - n**2 + (-n + 0 + 0)*(-2*n - n + 5*n))*(0 - 1 - 1) to the form a + r*n + b*n**2 and give b. -14 Express -5 + x - 17*x**2 - 2*x**3 + 14*x**2 - 3 in the form t*x**3 + o*x**2 + c*x + y and give y. -8 Rearrange (1 - 5 + 3)*(-8*j - 4*j + 0*j)*(3*j - 3*j - j) to the form q + v*j + b*j**2 and give b. -12 Rearrange ((7 - 1 + 2)*(-3 + 3 + 1) + (-2 + 4 - 1)*(-4 + 4 + 1))*(1 - 1 + f**2) to the form v + b*f + j*f**2 and give j. 9 Express -41*k**3 - 3*k**2 + 0*k**2 + 2*k**2 in the form o*k**2 + l + v*k**3 + g*k and give o. -1 Express 12*f**2 - 14*f**3 - 12*f**2 + f + 8*f**3 as r*f**3 + d*f + p*f**2 + o and give d. 1 Express (2*t + 2 - 5*t + t)*(67*t - 15*t - 200*t) in the form j*t + h*t**2 + i and give h. 296 Rearrange 2*b**2 - 2 - 2*b + b**2 + 0 to the form v*b + x + p*b**2 and give v. -2 Express 14*y + 14*y + 8*y - 9*y as n*y + x and give n. 27 Rearrange (d
{ "pile_set_name": "DM Mathematics" }
'th term of 98, 92, 86, 80? -6*y + 104 What is the v'th term of 11310, 11299, 11274, 11229, 11158, 11055, 10914? -v**3 - v**2 - v + 11313 What is the v'th term of -112, -179, -206, -193, -140, -47, 86? 20*v**2 - 127*v - 5 What is the k'th term of 161, 326, 479, 614, 725, 806, 851, 854? -k**3 + 172*k - 10 What is the k'th term of 7, 7, 3, 1, 7? k**3 - 8*k**2 + 17*k - 3 What is the t'th term of -21, -48, -75? -27*t + 6 What is the t'th term of 7, 36, 73, 112, 147? -t**3 + 10*t**2 + 6*t - 8 What is the x'th term of -7, -28, -93, -226, -451, -792, -1273? -4*x**3 + 2*x**2 + x - 6 What is the v'th term of -19, -37, -51, -55, -43, -9? v**3 - 4*v**2 - 13*v - 3 What is the a'th term of -610, -613, -616, -619, -622? -3*a - 607 What is the z'th term of -14, -13, -12, -11? z - 15 What is the h'th term of 45, 88, 131, 174, 217? 43*h + 2 What is the s'th term of -1228, -1223, -1214, -1201, -1184, -1163? 2*s**2 - s - 1229 What is the v'th term of 172, 162, 152? -10*v + 182 What is the m'th term of 240, 375, 510, 645, 780, 915? 135*m + 105 What is the i'th term of -592, -2380, -5360, -9532? -596*i**2 + 4 What is the f'th term of -1147, -4601, -10361, -18427, -28799, -41477, -56461? -1153*f**2 + 5*f + 1 What is the x'th term of 905, 908, 911, 914, 917? 3*x + 902 What is the h'th term of 3, 1, 11, 39, 91, 173? h**3 - 9*h + 11 What is the y'th term of 35, 169, 393, 707, 1111, 1605, 2189? 45*y**2 - y - 9 What is the h'th term of 36, 23, 10, -3, -16? -13*h + 49 What is the p'th term of -75, -70, -65? 5*p - 80 What is the l'th term of 30, 54, 82, 114, 150? 2*l**2 + 18*l + 10 What is the w'th term of 1062, 1015, 930, 801, 622, 387? -w**3 - 13*w**2 - w + 1077 What is the n'th term of 113, 112, 111? -n + 114 What is the j'th term of -10, -23, -32, -37, -38? 2*j**2 - 19*j + 7 What is the m'th term of 22, 108, 238, 412? 22*m**2 + 20*m - 20 What is the t'th term of -216, -911, -2076, -3717, -5840, -8451? -t**3 - 229*t**2 - t + 15 What is the g'th term of -127, -251, -375, -499? -124*g - 3 What is the x'th term of 89, 79, 63, 41, 13, -21? -3*x**2 - x + 93 What is the y'th term of 362, 732, 1104, 1478, 1854, 2232? y**2 + 367*y - 6 What is the i'th term of -146, -140, -142, -158, -194, -256, -350? -i**3 + 2*i**2 + 7*i - 154 What is the o'th term of 20, 23, 22, 11, -16, -65? -o**3 + 4*o**2 - 2*o + 19 What is the d'th term of -35, -12, 33, 112, 237? 2*d**3 - d**2 + 12*d - 48 What is the l'th term of 25, -50, -167, -320, -503, -710? l**3 - 27*l**2 - l + 52 What is the y'th term of -11, -67, -235, -569, -1123, -1951, -3107? -9*y**3 - 2*y**2 + 13*y - 13 What is the q'th term of 6126, 6121, 6104, 6069, 6010, 5921, 5796, 5629? -q**3 + 2*q + 6125 What is the y'th term of -5, 29, 121, 301, 599, 1045, 1669? 5*y**3 - y**2 + 2*y - 11 What is the s'th term of -20, -24, -30, -38? -s**2 - s - 18 What is the n'th term of -45, -61, -77, -93? -16*n - 29 What is the n'th term of 479, 958, 1437, 1916? 479*n What is the c'th term of 1084, 1083, 1082, 1081, 1080, 1079? -c + 1085 What is the j'th term of -609, -609, -611, -615, -621, -629, -639? -j**2 + 3*j - 611 What is the r'th term of -222, -223, -224, -225, -226, -227? -r - 221 What is the d'th term of -522, -1044, -1566? -522*d What is the z'th term of 5565, 11123, 16679, 22233, 27785, 33335, 38883? -z**2 + 5561*z + 5 What is the l'th term of -30, -29, -26, -21, -14, -5? l**2 - 2*l - 29 What is the h'th term of -4, -14, -34, -64, -104, -154? -5*h**2 + 5*h - 4 What is the h'th term of 10, 127, 446, 1069, 2098? 17*h**3 - h**2 + h - 7 What is the t'th term of 37, 57, 99, 169, 273? t**3 + 5*t**2 - 2*t + 33 What is the i'th term of -101, -205, -309, -413? -104*i + 3 What is the m'th term of 7, 34, 63, 82, 79, 42, -41? -2*m**3 + 13*m**2 + 2*m - 6 What is the a'th term of 0, 2, 4, 6, 8? 2*a - 2 What is the h'th term of -8, -22, -36, -50? -14*h + 6 What is the m'th term of -79, -70, -61, -52, -43? 9*m - 88 What is the c'th term of -19, -55, -153, -343, -655, -1119, -1765? -5*c**3 - c**2 + 2*c - 15 What is the d'th term of -13, 39, 173, 431, 855, 1487? 7*d**3 - d**2 + 6*d - 25 What is the v'th term of 13, 9, 5, 1? -4*v + 17 What is the g'th term of -164, -317, -464, -605? 3*g**2 - 162*g - 5 What is the n'th term of 28, 127, 284, 493, 748, 1043, 1372, 1729? -n**3 + 35*n**2 + n - 7 What is the b'th term of -331, -1365, -3105, -5557, -8727, -12621, -17245? -b**3 - 347*b**2 + 14*b + 3 What is the s'th term of -45, -62, -95, -138, -185, -230, -267, -290? s**3 - 14*s**2 + 18*s - 50 What is the n'th term of -7, 4, 17, 26, 25, 8? -n**3 + 7*n**2 - 3*n - 10 What is the j'th term of -42, -72, -124, -210, -342, -532, -792? -2*j**3 + j**2 - 19*j - 22 What is the j'th term of 5, 3, -7, -31, -75, -145, -247, -387? -j**3 + 2*j**2 - j + 5 What is the z'th term of -73, -280, -631, -1132, -1789, -2608? -z**3 - 66*z**2 - 2*z - 4 What is the c'th term of -2, 9, 26, 49, 78, 113? 3*c**2 + 2*c - 7 What is the q'th term of -94, -138, -190, -256, -342, -454, -598, -780? -q**3 + 2*q**2 - 43*q - 52 What is the p'th term of 95, 208, 397, 662, 1003? 38*p**2 - p + 58 What is the t'th term of -30, -70, -124, -198, -298, -430? -t**3 - t**2 - 30*t + 2 What is the m'th term of 7, 11, 25, 55, 107, 187, 301? m**3 - m**2 + 7 What is the b'th term of -8, -28, -68, -134, -232? -b**3 - 4*b**2 - b - 2 What is the z'th term of 274, 562, 866, 1192, 1546, 1934? z**3 + 2*z**2 + 275*z - 4 What is the d'th term of 12, 40, 66, 90? -d**2 + 31*d - 18 What is the g'th term of -13, -17, -25, -37? -2*g**2 + 2*g - 13 What is the c'th term of 85, 174, 263, 352, 441, 530? 89*c - 4 What is the g'th term of 44, 77, 110, 143? 33*g + 11 What is the m'th term of -99, -199, -299, -399? -100*m + 1 What is the r'th term of 1, 15, 39, 79, 141, 231, 355, 519? r**3 - r**2 + 10*r - 9 What is the t'th term of -3, 0, 13, 42, 93, 172, 285? t**3 - t**2 - t - 2 What is the d'th term of 35, 38, 39, 38, 35, 30, 23? -d**2 + 6*d + 30 What is the x'th term of -473, -1909, -4295, -7625, -11893, -17093? x**3 - 481*x**2 + 7 What is the y'th term of -116, -225, -334? -109*y - 7 What is the a'th term of 143, 146, 147, 146, 143, 138? -a**2 + 6*a + 138 What is the a'th term of 3492, 3493, 3494, 3495, 3496? a + 3491 What is the r'th term of 43, 97, 151, 205, 259, 313? 54*r - 11 What is the q'th term of -890, -892, -894, -896, -898, -900? -2*q - 888 What is the h'th term of -16, 7, 30, 53, 76? 23*h - 39 What is the y'th term of -38, -16, 52, 190, 422, 772, 1264, 1922? 4*y**3 - y**2 - 3*y - 38 What is the a'th term of 177, 176, 175? -a + 178 What is the g'th term of -3, -19, -23, -9, 29? g**3 - 23*g + 19 What is the a'th term of -15044, -15043, -15042, -15041, -15040? a - 15045 What is the g'th term of 43, 84, 125? 41*g + 2 What is the m'th term of 119, 561, 1291, 2303, 3591, 5149? -m**3 + 150*m**2 - m - 29 What is the x'th term of -5317, -5348, -5393, -5458, -5549, -5672? -x**3 - x**2 - 21*x - 5294 What is the a'th term of 167, 152, 129, 98, 59? -4*a**2 - 3*a + 174 What is the c'th term of 36, 56, 74, 90, 104? -c**2 + 23*c + 14 What is the z'th term of -215, -429, -643, -857? -214*z - 1 What is the o'th term of 190, 194, 212, 250, 314, 410, 544? o**3 + o**2 - 6*o + 194 What is the y'th term of 667, 1347, 2027? 680*y - 13 What is the u'th term of -64, -52, -40, -28? 12*u - 76 What is the t'th term of 1880, 3760, 5640, 7520, 9400? 1880*t What is the g'th term of 36, 39, 38, 33, 24, 11? -2*g**2 + 9*g + 29 What is the v'th term of -1387, -1369, -1339, -1291, -1219, -1117, -979, -799? v**3 + 11*v - 1399 What is the c'th term of 27, 12, -3, -18? -15*c + 42 What is the m'th term of 1129, 1133, 1147, 1177, 1229? m**3 - m**2 + 1129 What is the o'th term of -838, -1670, -2502, -3334, -4166, -4998? -832*o - 6 What is the d'th term of -85, -79, -69, -55, -37, -15, 11? 2*d**2 - 87 What is the w'th term of -118, -109, -88, -49, 14? w**3 + 2*w - 121 What is the c'th term of 838, 1676, 2514, 3352, 4190? 838*c What is the r'th term of 57, 83, 99, 99, 77, 27, -57, -181? -r**3 + r**2 + 30*r + 27 What is the j'th term of -6221, -12446, -18671, -24896, -31121, -37346? -6225*j + 4 What is the t'th term of 342, 1316, 2944, 5232, 8186, 11812, 16116? t**3 + 321*t**2 + 4*t + 16 What is the y'th term of -6, 21, 66, 129, 210, 309, 426? 9*y**2 - 15 What is the
{ "pile_set_name": "DM Mathematics" }
f 818? 8 What is the hundreds digit of 526? 5 What is the thousands digit of 22625? 2 What is the hundreds digit of 44742? 7 What is the tens digit of 5238? 3 What is the hundreds digit of 712? 7 What is the tens digit of 593? 9 What is the hundreds digit of 95326? 3 What is the hundreds digit of 41873? 8 What is the units digit of 6777? 7 What is the hundreds digit of 142194? 1 What is the hundreds digit of 394? 3 What is the units digit of 102? 2 What is the hundreds digit of 7627? 6 What is the tens digit of 79769? 6 What is the thousands digit of 4027? 4 What is the hundreds digit of 14882? 8 What is the tens digit of 6348? 4 What is the hundreds digit of 1768? 7 What is the thousands digit of 17023? 7 What is the hundreds digit of 8361? 3 What is the units digit of 5698? 8 What is the thousands digit of 74486? 4 What is the hundreds digit of 14065? 0 What is the hundreds digit of 14592? 5 What is the tens digit of 2474? 7 What is the thousands digit of 2193? 2 What is the tens digit of 70764? 6 What is the ten thousands digit of 18518? 1 What is the tens digit of 2862? 6 What is the tens digit of 1078? 7 What is the units digit of 1095? 5 What is the hundreds digit of 2066? 0 What is the hundreds digit of 10463? 4 What is the thousands digit of 1116? 1 What is the ten thousands digit of 68314? 6 What is the hundreds digit of 526? 5 What is the tens digit of 21427? 2 What is the units digit of 442? 2 What is the ten thousands digit of 40055? 4 What is the hundreds digit of 2933? 9 What is the hundreds digit of 32479? 4 What is the tens digit of 6363? 6 What is the tens digit of 18870? 7 What is the tens digit of 53376? 7 What is the thousands digit of 3116? 3 What is the hundreds digit of 1023? 0 What is the ten thousands digit of 108675? 0 What is the hundreds digit of 29781? 7 What is the thousands digit of 7143? 7 What is the tens digit of 29865? 6 What is the tens digit of 6317? 1 What is the thousands digit of 20689? 0 What is the tens digit of 2377? 7 What is the tens digit of 446? 4 What is the thousands digit of 1342? 1 What is the units digit of 11356? 6 What is the units digit of 10296? 6 What is the units digit of 1869? 9 What is the hundreds digit of 502? 5 What is the hundreds digit of 34407? 4 What is the hundreds digit of 2849? 8 What is the ten thousands digit of 77283? 7 What is the tens digit of 963? 6 What is the hundreds digit of 115074? 0 What is the ten thousands digit of 27728? 2 What is the ten thousands digit of 40447? 4 What is the hundreds digit of 22367? 3 What is the ten thousands digit of 89794? 8 What is the tens digit of 4687? 8 What is the units digit of 36075? 5 What is the tens digit of 172365? 6 What is the hundreds digit of 44312? 3 What is the units digit of 103032? 2 What is the hundreds digit of 453? 4 What is the tens digit of 44470? 7 What is the hundreds digit of 27012? 0 What is the units digit of 3018? 8 What is the hundreds digit of 1740? 7 What is the tens digit of 23027? 2 What is the units digit of 2230? 0 What is the tens digit of 7808? 0 What is the ten thousands digit of 51940? 5 What is the thousands digit of 82092? 2 What is the hundreds digit of 21357? 3 What is the hundreds digit of 3012? 0 What is the thousands digit of 8727? 8 What is the hundreds digit of 7068? 0 What is the hundred thousands digit of 127841? 1 What is the ten thousands digit of 19532? 1 What is the hundreds digit of 7044? 0 What is the hundreds digit of 1544? 5 What is the hundreds digit of 1317? 3 What is the units digit of 1011? 1 What is the hundreds digit of 324? 3 What is the ten thousands digit of 44033? 4 What is the hundreds digit of 5895? 8 What is the thousands digit of 65890? 5 What is the units digit of 1150? 0 What is the hundreds digit of 774? 7 What is the units digit of 2608? 8 What is the hundreds digit of 3047? 0 What is the thousands digit of 41918? 1 What is the ten thousands digit of 20176? 2 What is the thousands digit of 34341? 4 What is the thousands digit of 1132? 1 What is the units digit of 9833? 3 What is the ten thousands digit of 26431? 2 What is the tens digit of 33165? 6 What is the units digit of 8857? 7 What is the hundreds digit of 417? 4 What is the thousands digit of 14834? 4 What is the hundreds digit of 1689? 6 What is the ten thousands digit of 19807? 1 What is the tens digit of 211? 1 What is the hundreds digit of 6268? 2 What is the thousands digit of 3614? 3 What is the units digit of 1204? 4 What is the units digit of 4904? 4 What is the units digit of 2233? 3 What is the thousands digit of 5834? 5 What is the thousands digit of 42505? 2 What is the tens digit of 45802? 0 What is the hundreds digit of 7713? 7 What is the tens digit of 37163? 6 What is the tens digit of 6689? 8 What is the units digit of 710? 0 What is the tens digit of 584? 8 What is the units digit of 30347? 7 What is the tens digit of 65941? 4 What is the tens digit of 665? 6 What is the hundreds digit of 3118? 1 What is the thousands digit of 1166? 1 What is the tens digit of 14821? 2 What is the tens digit of 2248? 4 What is the units digit of 1418? 8 What is the units digit of 7088? 8 What is the thousands digit of 5019? 5 What is the thousands digit of 1565? 1 What is the hundreds digit of 4948? 9 What is the tens digit of 168660? 6 What is the units digit of 64713? 3 What is the units digit of 380? 0 What is the units digit of 69852? 2 What is the tens digit of 1143? 4 What is the thousands digit of 2671? 2 What is the hundreds digit of 941? 9 What is the ten thousands digit of 54287? 5 What is the units digit of 1047? 7 What is the units digit of 19349? 9 What is the hundreds digit of 2629? 6 What is the tens digit of 976? 7 What is the thousands digit of 15250? 5 What is the hundreds digit of 283? 2 What is the tens digit of 992? 9 What is the tens digit of 2666? 6 What is the units digit of 9826? 6 What is the thousands digit of 7663? 7 What is the units digit of 21352? 2 What is the hundreds digit of 1767? 7 What is the ten thousands digit of 55067? 5 What is the thousands digit of 52129? 2 What is the hundreds digit of 14204? 2 What is the hundreds digit of 115? 1 What is the units digit of 45673? 3 What is the thousands digit of 18204? 8 What is the units digit of 42396? 6 What is the hundreds digit of 55792? 7 What is the units digit of 49819? 9 What is the units digit of 14677? 7 What is the hundreds digit of 1239? 2 What is the hundreds digit of 2026? 0 What is the hundreds digit of 1661? 6 What is the units digit of 7058? 8 What is the units digit of 18808? 8 What is the hundreds digit of 432? 4 What is the units digit of 686? 6 What is the units digit of 919? 9 What is the thousands digit of 48985? 8 What is the hundreds digit of 1978? 9 What is the units digit of 46889? 9 What is the tens digit of 51? 5 What is the units digit of 2630? 0 What is the tens digit of 309? 0 What is the tens digit of 213? 1 What is the hundreds digit of 1652? 6 What is the hundreds digit of 20859? 8 What is the hundreds digit of 3869? 8 What is the tens digit of 129496? 9 What is the units digit of 487? 7 What is the thousands digit of 1439? 1 What is the hundreds digit of 15551? 5 What is the thousands digit of 7779? 7 What is the units digit of 1666? 6 What is the units digit of 36714? 4 What is the hundreds digit of 88239? 2 What is the units digit of 46580? 0 What is the hundreds digit of 2124? 1 What is the units digit of 990? 0 What is the thousands digit of 2675? 2 What is the units digit of 10421? 1 What is the hundreds digit of 399? 3 What is the thousands digit of 6702? 6 What is the thousands digit of 5065? 5 What is the units digit of 721? 1 What is the units digit of 70245? 5 What is the hundreds digit of 2451? 4 What is the hundreds digit of 2070? 0 What is the hundreds digit of 4576? 5 What is the units digit of 3715? 5 What is the units digit of 27033? 3 What is the units digit of 1996? 6 What is the tens digit of 6631? 3 What is the hundreds digit of 954? 9 What is the thousands digit of 13396? 3 What is the tens digit of 508? 0 What is the tens digit of 54677? 7 What is the hundreds digit of 15787? 7 What is the tens digit of 6719? 1 What is the ten thousands digit of 50462? 5 What is
{ "pile_set_name": "DM Mathematics" }
its digit of k(i)? 1 Let q be (5/(-2))/(4/(-8)). Suppose -q*v + 88 = -2. What is the tens digit of v? 1 Let d = 6 - 4. Let m = -28 + 41. Let p = d + m. What is the units digit of p? 5 Let w(p) = 4*p**2 - 3*p + 11. What is the tens digit of w(3)? 3 Let w(d) = d. Let v(l) = 7*l + 5. Let a(r) = v(r) - 6*w(r). Let g be (-1)/2 - (-7)/(-2). What is the units digit of a(g)? 1 Suppose 126 = 6*s - 3*s. Suppose -4*i - s = -5*i - 4*q, -2*i = 5*q - 69. What is the tens digit of i? 2 Let z(p) = -2*p - 1. Suppose -8 = -4*k + 8. Let r be 2/(k/(-6)) + 0. What is the units digit of z(r)? 5 Let w(j) = j**3 - 2*j. What is the tens digit of w(3)? 2 Let w = -6 - -9. Suppose -w*r - 30 = 24. What is the units digit of (-166)/r + (-2)/9? 9 Let l = 41 - 27. Let t = -7 + l. Suppose 1 = 4*a - t. What is the units digit of a? 2 Let u be 0 + -1 + 7 - 2. Let b be (-86)/(-18) - u/(-18). Let r = b + -2. What is the units digit of r? 3 Let i = 550 + -329. What is the units digit of i? 1 Suppose 0 = -5*o + 10*o - 205. What is the units digit of o? 1 Suppose 5*q - 4*u = -2*u + 354, 0 = -5*u + 15. What is the units digit of q? 2 Let a = -40 + 56. What is the units digit of a? 6 Let x(k) = -k**2 - 5*k + 5. Suppose 5*n + m - 7 = 0, -5*n + 2*m + 14 = -n. Suppose -2 = l + n. What is the units digit of x(l)? 9 Let g(t) be the third derivative of -t**4/24 + 5*t**3/6 - t**2. Suppose 2*f = 4*q + 3*f + 27, 0 = -3*q - 3*f - 27. What is the tens digit of g(q)? 1 Let s be 22*2 + -3 + 4. Let h be -2*(s/(-6))/5. Suppose w + 16 = -0*c + 3*c, -10 = -h*c - 5*w. What is the units digit of c? 5 What is the units digit of ((-1)/(-2))/((-2)/(-4))? 1 Suppose -x + 6*x + s = 137, 35 = x + 4*s. What is the units digit of x? 7 Let i(x) = x**3 - 5*x**2 + 4. Let z = -15 - -20. What is the units digit of i(z)? 4 Suppose 5*b = -1 + 6. Suppose n = 1 + b. Suppose -3*p = n*p - 90. What is the tens digit of p? 1 Suppose -2*n + 134 = 4*l - 336, 3*n - 586 = -5*l. What is the units digit of l? 9 Let a = 70 - 33. What is the tens digit of a? 3 Let g = 119 - -20. What is the hundreds digit of g? 1 Let q = 6 - 3. Let j be ((-2)/(6/q))/1. What is the units digit of 38*1/(1 - j)? 9 Let j(w) = -w**3 - 14*w**2 + 16*w + 19. What is the units digit of j(-15)? 4 Suppose 3*s + 8 = -4*c + 25, 0 = -c + 5*s - 13. Suppose 37 - 1 = c*b. What is the units digit of b? 8 Suppose -x = 2*x - 9. Let t(c) = c**2 - c - 2. Let z be t(x). What is the units digit of (z/12)/(1/12)? 4 Let p(u) = 5*u**2 + 4*u + 4. Let x be p(-2). Suppose -x - 33 = -d. What is the units digit of d? 9 What is the units digit of (-4)/(192/(-93) - -2)? 2 Suppose -16 + 60 = -2*x. Let c(s) = 3*s - 1. Let y(o) = 13*o - 4. Let p(r) = x*c(r) + 6*y(r). What is the units digit of p(2)? 2 Let t(j) = j - 13. Let q be t(9). What is the units digit of (-84)/q - (-2)/(-2)? 0 Let s be (1 + -2 - 0)*-2. Suppose -s*j + 3*a = -16, -j - 3*a + 21 = 2*a. What is the units digit of j? 1 Let p = 18 + 14. What is the units digit of p? 2 Suppose 4*p + g = 4*g, 0 = 4*p + 5*g. Suppose -n + 5*b = 24, 5*b = -3*n - p*b + 28. What is the units digit of n? 1 Let k = -11 - -12. What is the units digit of k? 1 Let g be 1/(0 - (-2 - -1)). Let i be -2 - (g - (8 - 2)). What is the units digit of 50/i + (-10)/15? 6 Let b = -21 + 15. Let f(d) = d**2 + 3*d + 3. Let s be f(b). Suppose -2*x - 3 = -s. What is the units digit of x? 9 Suppose -3 - 1 = 2*v - 5*u, 2*v + 4*u - 32 = 0. Let w(y) = 9*y + 25. Let x(m) = 5*m + 12. Let p(t) = 6*w(t) - 11*x(t). What is the tens digit of p(v)? 1 What is the units digit of 18 + (0 + 20)/(-4)? 3 Let j be 89/4 - (-2)/(-8). What is the units digit of ((-68)/10)/(j/(-55))? 7 Suppose t - 39 = -0*t. Suppose 2*k = -3 + t. What is the tens digit of k? 1 Let m = 3 + 1. Suppose 6*c = 2*c - m. What is the units digit of (2/c - -9) + 0? 7 Suppose -1 + 5 = -2*f - 2*x, -x = 3*f + 12. Let h(j) = -2*j + 5. What is the tens digit of h(f)? 1 Suppose t + t + 10 = 0, 4*j - 4*t = 68. Suppose -x - x = -j. What is the units digit of x? 6 Suppose -2*d - 3*d = -15. Let o = d + -2. What is the units digit of o? 1 Suppose -27 = -2*n + 63. What is the tens digit of n? 4 Suppose 5*p - 4*a - 505 = 0, p - 3*p - 2*a + 220 = 0. What is the hundreds digit of p? 1 Let s = 25 + -22. Suppose -5*x - 34 = -s*u, 4*u + 4*x = -5 + 61. What is the units digit of u? 3 What is the tens digit of ((-4)/(-6))/((-12)/(-396))? 2 Let l = 2 + 3. Let t(p) = 3 + 8*p - 6 - p**2 + 0*p. What is the tens digit of t(l)? 1 Let b = 84 - 54. Let s = 44 - b. What is the units digit of s? 4 Let y = 2 - 1. Let a be 2 + -2 + y - -2. Suppose 6 = a*n - 15. What is the units digit of n? 7 Let b = -107 + 185. Suppose 2*v = -2*v - x + b, -3*v + 2*x + 64 = 0. What is the units digit of v? 0 Suppose -138 = -8*g + 5*g. What is the tens digit of g? 4 Let z = 8 - 5. Let w = z - 1. Suppose 0 = -w*o - 3*o + 65. What is the units digit of o? 3 Let j = 4 - 2. Let h = j - -1. What is the units digit of h? 3 Let m = -27 - -112. What is the tens digit of m? 8 Let n(g) = -g**3 + 9*g**2 + 9*g + 12. Let l be n(10). Suppose 4*y - 15 = -l*q + 19, -3*y + 2*q = -15. What is the units digit of y? 7 Let q = 1 + 1. Suppose 4*l = -q*u + 74, -3*u + 12 = -3. What is the units digit of l? 6 Suppose -2*m + 80 = 4*d - 0*m, -20 = -d - 3*m. What is the units digit of d? 0 Let t(p) = -p**2 - 3*p + 2. Let i be t(2). Let v = 13 + i. Suppose c - 4*c = 5*d - 27, 3*d + 11 = v*c. What is the units digit of c? 4 Let f(l) = -l**3 + 17*l**2 - 14*l - 11. What is the units digit of f(14)? 1 Let f(o) = -o + 11. Let l be f(7). Suppose -2*p + l*t = 3*p + 16, -5*t = -20. Suppose -i + p*i + 1 = 0. What is the units digit of i? 1 What is the units digit of ((-204)/16)/(-1) + (-2)/(-8)? 3 Suppose -340 = -23*z + 19*z. What is the units digit of z? 5 Let n = -11 + 15. What is the units digit of n? 4 Suppose 4*s - 728 = 452. What is the hundreds digit of s? 2 Let a(v) = -4 + 0*v - v**2 + 2 - 9*v + v. Let d be a(-7). Suppose 19 = d*c + 4. What is the units digit of c? 3 Let v(k) = k**2 + 7*k - 13. What is the tens digit of v(-10)? 1 Let t(c) be the second derivative of c**4/12 - 4*c**3/3 + 7*c**2/2 + c. Let r be t(7). Suppose r = -d - 0*d + 13. What is the tens digit of d? 1 Let v = -23 - -19. Let b(y) = y**2 + 5*y + 5. What is the units digit of b(v)? 1 Let j(s) = -5*s - 21. Let c be j(-8). Suppose 6 = d + 3. Suppose 5*m + 24 = 2*k, -1 = d*k - 3*m - c. What is the units digit of k? 2 Let o = 4 - 0. Suppose 2*y - 26 = 2*w, o*w + 3 = -1. Let s = y - 6. What is the units digit of s? 6 Suppose 5*j + 4*z + 51 = 0, -2*j - 2*z = 10 + 12. Let f = j - -14. What is the units digit of f? 7 Let y(k) = -144*k - 4. What is the hundreds digit of y(-1)? 1 Suppose -2*f - c + 291 = 0, -125 = 2*f - 3*c - 412. What is the hundreds digit of f? 1 Let g = 1 - -7. Suppose -25 = -4*o - 5*j, j + 3 = 2*o + g. Suppose -b + 1 = -o*b. What is the units digit of b? 1 Let k = -14 + 56. What is the tens digit of k? 4 Suppose -3*r + 255 + 315 = 0. Suppose 4*a = 2 + r. What is the units digit of a? 8 Suppose 18 = -7*b + 4*b. Let s = 7 - b. What is the units digit of s? 3 Suppose 0 = -11*z + 236 + 83. What is the units digit of z? 9 Let h(w) = 2*w + 8. Let m be h(-4). Suppose -v + m*v + 35 = 0. What is the units digit of v? 5 Let n be 1/3 + 236/12. Let p = n - 18. What is the units digit of p? 2 Suppose -5*b + 5 = 2*n, -4*b + 6 = -3*n + 2. Suppose -2*i + 17 = -11. Suppose n*h - i = -2*h. What is the units digit of h? 7 Let c = 83 + 71. What is the tens digit of c? 5 Suppose -5*x + 221 = 4*n, 3*n - 2*x = -n + 186. Suppose q - 5 = h, -5*q - 4*h + n = -3*h. What is the units digit of q? 9 Suppose 3*f - 4*f + 92 = -2*z, 4*z - 516 = -5*f. What is the units digit of f? 0 Suppose 3*i = 5*y + 171, -i + y = -37 - 22. Suppose 0 = -4*h + g + i, 58 = 4*h - 0*h - 3*g. What is the tens digit of h? 1 Let w(b) = 0*b**2 + 8*b - 3*b**2 - 1 + 2*b**2 - 3. Let m be w(7). Suppose 0 = -2*t - m*t - 5*q + 100, 4*t = 2*q + 80. What is the tens digit of t? 2 Let b = -45 + 105. What is the units digit of b? 0 Let d(h) = -h**2 - 2*h + 2. Let u be d(-2). What is the units digit of 2 - (u + -1 - 8)? 9 Suppose 4*w - 15 = 5*d, -2*d + 11 = 2*w - 1. What is the units digit of d? 1 Let k = -2 - -4. Suppose 0 = -k*u - 0*q - 2*q - 22, 30 = -4*u + 3*q. Let t
{ "pile_set_name": "DM Mathematics" }
7, 31123 What are the prime factors of 330872008? 2, 293, 141157 What are the prime factors of 139668850? 2, 5, 2793377 What are the prime factors of 1299699729? 3, 6343, 7589 What are the prime factors of 31613094? 2, 3, 127, 13829 List the prime factors of 118783526. 2, 3877, 15319 What are the prime factors of 345807810? 2, 3, 5, 1013, 3793 What are the prime factors of 80911252? 2, 47, 9157 List the prime factors of 14836640. 2, 5, 7, 13, 1019 What are the prime factors of 846299242? 2, 7829, 54049 List the prime factors of 490406302. 2, 19, 12905429 List the prime factors of 479254654. 2, 239627327 What are the prime factors of 6010718769? 3, 11, 60714331 What are the prime factors of 292746149? 223, 647, 2029 List the prime factors of 87846571. 87846571 What are the prime factors of 752045670? 2, 3, 5, 8356063 What are the prime factors of 227866683? 3, 11, 37, 431, 433 What are the prime factors of 4487177168? 2, 401, 699373 List the prime factors of 1916885475. 3, 5, 8519491 List the prime factors of 51618053. 1291, 39983 What are the prime factors of 52555859? 29, 1812271 List the prime factors of 158041700. 2, 5, 1580417 List the prime factors of 411025368. 2, 3, 13, 409, 3221 What are the prime factors of 736524150? 2, 3, 5, 17, 288833 List the prime factors of 412265463. 3, 137421821 List the prime factors of 947212610. 2, 5, 7349, 12889 List the prime factors of 265965004. 2, 227, 499, 587 What are the prime factors of 152373294? 2, 3, 8465183 List the prime factors of 140691240. 2, 3, 5, 390809 List the prime factors of 381094401. 3, 179, 709673 List the prime factors of 100655816. 2, 12581977 What are the prime factors of 943414766? 2, 7, 67386769 What are the prime factors of 235103159? 235103159 List the prime factors of 202913440. 2, 5, 137, 9257 What are the prime factors of 1368469590? 2, 3, 5, 45615653 List the prime factors of 2468678296. 2, 7, 61, 83, 8707 What are the prime factors of 1502213878? 2, 11, 68282449 List the prime factors of 421891552. 2, 47, 280513 What are the prime factors of 1457147519? 1457147519 What are the prime factors of 1609988? 2, 41, 9817 List the prime factors of 1838175513. 3, 167, 3669013 List the prime factors of 94568584. 2, 11, 1074643 List the prime factors of 34706358. 2, 3, 1327, 1453 What are the prime factors of 75760637? 3907, 19391 List the prime factors of 431059941. 3, 13, 1228091 What are the prime factors of 178769372? 2, 4993, 8951 List the prime factors of 243324235. 5, 7, 11, 67, 9433 What are the prime factors of 514143537? 3, 171381179 What are the prime factors of 1226297743? 11, 111481613 What are the prime factors of 1905197583? 3, 19, 131, 255149 What are the prime factors of 149291604? 2, 3, 7, 11, 53857 List the prime factors of 910539599. 910539599 What are the prime factors of 479764604? 2, 11, 877, 12433 What are the prime factors of 1061691146? 2, 41, 89, 145477 What are the prime factors of 491027041? 491027041 What are the prime factors of 200611983? 3, 11, 13, 467627 What are the prime factors of 159409653? 3, 13, 37, 61, 1811 List the prime factors of 1949760157. 39761, 49037 List the prime factors of 3422541826. 2, 11, 743, 209381 What are the prime factors of 138310384? 2, 41, 210839 What are the prime factors of 282934472? 2, 19, 313 List the prime factors of 181409985. 3, 5, 31, 130043 What are the prime factors of 288413425? 5, 11536537 What are the prime factors of 133084996? 2, 11, 131, 2099 List the prime factors of 6551691. 3, 397, 5501 What are the prime factors of 1598314437? 3, 617, 31981 What are the prime factors of 109364632? 2, 13, 23, 3517 List the prime factors of 1577865509. 11, 181, 467, 1697 List the prime factors of 25664656. 2, 523, 3067 List the prime factors of 7244524458. 2, 3, 402473581 List the prime factors of 113555669. 23, 97, 2213 List the prime factors of 2459614417. 13, 17, 163, 68279 What are the prime factors of 4456170767? 191, 23330737 What are the prime factors of 3199540650? 2, 3, 5, 21330271 List the prime factors of 4105686182. 2, 13, 43, 3672349 List the prime factors of 643016281. 43, 14953867 What are the prime factors of 722655645? 3, 5, 1901, 25343 What are the prime factors of 1046195130? 2, 3, 5, 17, 31, 66173 List the prime factors of 1844961345. 3, 5, 1787, 22943 List the prime factors of 49016733. 3, 61, 4391 List the prime factors of 507131725. 5, 293, 69233 List the prime factors of 705792275. 5, 28231691 What are the prime factors of 2127038174? 2, 1063519087 What are the prime factors of 1717421053? 79, 599, 36293 What are the prime factors of 183275124? 2, 3, 15272927 What are the prime factors of 85916204? 2, 11, 1952641 What are the prime factors of 38165036? 2, 7, 13, 104849 List the prime factors of 296734115. 5, 19, 181, 17257 List the prime factors of 457745600. 2, 5, 13, 59, 373 List the prime factors of 93534330. 2, 3, 5, 23, 283, 479 List the prime factors of 719346970. 2, 5, 37, 1944181 List the prime factors of 1479998326. 2, 607, 1219109 List the prime factors of 4567274785. 5, 439, 2080763 What are the prime factors of 1741926447? 3, 173, 269, 4159 List the prime factors of 285845128. 2, 37, 229, 4217 What are the prime factors of 4263464140? 2, 5, 13, 271, 60509 List the prime factors of 198495521. 7, 887, 4567 List the prime factors of 94813787. 73, 1298819 List the prime factors of 31476148. 2, 11, 109, 6563 What are the prime factors of 3756904166? 2, 1621, 1158823 What are the prime factors of 69228549? 3, 13, 31, 19087 What are the prime factors of 58494680? 2, 5, 1462367 What are the prime factors of 80914830? 2, 3, 5, 163, 16547 List the prime factors of 860247847. 860247847 List the prime factors of 1085407454. 2, 223, 2433649 List the prime factors of 54930576. 2, 3, 139, 8233 List the prime factors of 344963366. 2, 11, 15680153 List the prime factors of 21336215. 5, 31, 137653 What are the prime factors of 36498462? 2, 3, 7, 11, 13, 59, 103 List the prime factors of 275967668. 2, 149, 463033 What are the prime factors of 170083122? 2, 3, 11, 251, 10267 What are the prime factors of 4845689402? 2, 29, 199, 419831 What are the prime factors of 36915333? 3, 7, 13, 135221 What are the prime factors of 90349618? 2, 73, 618833 What are the prime factors of 13599505? 5, 757, 3593 List the prime factors of 571189360. 2, 5, 7, 23, 61, 727 What are the prime factors of 325434988? 2, 257, 316571 List the prime factors of 864677250. 2, 3, 5, 384301 What are the prime factors of 1364580253? 883, 1545391 List the prime factors of 208819018. 2, 104409509 What are the prime factors of 5502902116? 2, 1375725529 What are the prime factors of 481136330? 2, 5, 3389, 14197 List the prime factors of 1495111270. 2, 5, 149511127 What are the prime factors of 55662419? 19, 2929601 List the prime factors of 107950281. 3, 5237, 6871 What are the prime factors of 463276832? 2, 281, 51521 List the prime factors of 4087461517. 2243, 1822319 What are the prime factors of 572692349? 67, 199, 42953 List the prime factors of 3294647870. 2, 5, 329464787 List the prime factors of 27935299. 7, 991, 4027 What are the prime factors of 945485948? 2, 11, 21488317 What are the prime factors of 26763942? 2, 3, 4460657 List the prime factors of 400640433. 3, 71, 1880941 List the prime factors of 2528706973. 13, 17, 11442113 List the prime factors of 418450242. 2, 3, 7, 37, 67, 4019 What are the prime factors of 1649393264? 2, 41, 83, 30293 What are the prime factors of 1287875575? 5, 7, 19, 55333 What are the prime factors of 4592702864? 2, 17, 16884937 List the prime factors of 40864847. 1123, 36389 List the prime factors of 371388435. 3, 5, 11, 61, 36899 What are the prime factors of 246807076? 2, 71, 869039 List the prime factors of 124130222. 2, 73, 850207 List the prime factors of 94423070. 2, 5, 7, 1348901 List the prime factors of 180805487. 180805487 What are the prime factors of 34255558? 2, 31, 151, 3659 What are the prime factors of 1950629191? 7, 193, 206263 List the prime factors of 2139143059. 43, 61, 815533 What are the prime factors of 65405405? 5, 13, 1006237 List the prime factors of 55811924. 2, 7, 109, 18287 What are the prime factors of 625614685? 5, 37, 3381701 List the prime factors of 165703140
{ "pile_set_name": "DM Mathematics" }
t -10882 * -13.12. 142771.84 What is 997 times 19560? 19501320 Product of -677.4 and 395.06. -267613.644 1.48*-90.058 -133.28584 What is the product of -32.3 and -65028? 2100404.4 2.146 times 3.1 6.6526 What is the product of -0.0476 and 3396? -161.6496 Product of -5.4 and 2011403. -10861576.2 What is -1587717790 times 0.2? -317543558 -6.92 times 9951 -68860.92 Product of 11599564 and -18. -208792152 Work out -23 * 140688.8. -3235842.4 Work out 4652 * 49.8. 231669.6 -71126.1 times 8 -569008.8 Work out -36 * -1241335. 44688060 Calculate -724105*-2.236. 1619098.78 What is 7 times -17475482? -122328374 Product of -0.6 and 167571. -100542.6 -1557 times -22180 34534260 Work out -0.144910144 * 0.2. -0.0289820288 What is 0.4 times -18692.152? -7476.8608 Calculate 2.400929*13. 31.212077 1891 * 117 221247 What is the product of 1277776 and 73? 93277648 -1.29032*-1.67 2.1548344 Multiply -0.04 and 26.40919. -1.0563676 Multiply 27.8381075 and 3. 83.5143225 What is the product of -3.278 and -6.1? 19.9958 8 times 4854848 38838784 Work out 32.06 * -67537. -2165236.22 Multiply -161.053 and 2710. -436453.63 Work out -114159.9 * 9. -1027439.1 -55 * -41660.2 2291311 Product of -10.4 and -0.415. 4.316 What is 14 times 4.274484? 59.842776 Calculate 0.5*49989578. 24994789 What is the product of 1396.4 and -1.73? -2415.772 -7.484*-0.0146 0.1092664 9 * -15.14119 -136.27071 -0.97899 times -0.027 0.02643273 -12935 times -0.3041 3933.5335 Work out 7 * 42798816. 299591712 Calculate -20303*0.516. -10476.348 89963 times 19.5 1754278.5 2*-38.012138 -76.024276 -59557*2561 -152525477 2748559*-2 -5497118 What is the product of 0.94 and -47.13? -44.3022 Multiply 7.61505 and -29. -220.83645 Work out -30 * -48.694. 1460.82 Multiply 29450109 and 2. 58900218 -2360 times 35436 -83628960 -1549.10834 * -0.5 774.55417 Calculate -137*-26.8434. 3677.5458 What is the product of 16.3452 and 0.132? 2.1575664 What is 0.2694 times 29729.6? 8009.15424 -0.2 * 105103099 -21020619.8 Multiply 9310 and 540. 5027400 -409066.5*-0.51 208623.915 50 times -6615867 -330793350 What is -3 times -1970845? 5912535 Multiply -18074932 and 11. -198824252 What is the product of 0.32594286 and 4? 1.30377144 Product of -2182 and -4194.4. 9152180.8 Product of -1.2 and 1197598. -1437117.6 Calculate -626.385*-25. 15659.625 51311 times -0.0151 -774.7961 Product of 11339172 and -13. -147409236 What is -213 times 475827? -101351151 Calculate 28*245.03702. 6861.03656 0.06 times -4504627 -270277.62 Work out -143900945 * -0.5. 71950472.5 119062 * 0.2 23812.4 Product of -26647 and 1.09. -29045.23 What is the product of -9.06 and 33.752? -305.79312 -94181 * -0.056 5274.136 Work out 61690 * -395. -24367550 Calculate 12499834*0. 0 0.1816 * 230.2 41.80432 -140998*-259 36518482 What is the product of 25.3 and 8782? 222184.6 Multiply 2047375 and -253. -517985875 What is 7 times -13865.202? -97056.414 -30118 * -64.7 1948634.6 Multiply 23 and -16882.522. -388298.006 5.8*-0.12942 -0.750636 11.5*197583 2272204.5 What is the product of 36.3795 and -2? -72.759 Product of 756 and -0.0300799. -22.7404044 What is the product of -8477.2217 and -0.2? 1695.44434 732945*-11 -8062395 What is -18481922 times -0.4? 7392768.8 Calculate -993980*235. -233585300 What is the product of 3 and 2586068? 7758204 Multiply 21272 and 106. 2254832 Multiply 363528 and 2.57. 934266.96 Calculate 5.0965*0.0547. 0.27877855 Work out 6790 * 234. 1588860 Product of 1726 and 7208. 12441008 Product of -0.1 and 249.1499. -24.91499 Multiply -5.3685686 and -0.5. 2.6842843 What is the product of -3 and 2871715? -8615145 Product of -13519 and 3698. -49993262 1*1405901 1405901 Work out -30455666 * 0.5. -15227833 What is -823763 times 0? 0 369 times 58305.7 21514803.3 82065373*-0.1 -8206537.3 Calculate -32.05*-79864. 2559641.2 -0.7 * 0.0648543 -0.04539801 Multiply -2155061 and -0.0353. 76073.6533 Work out -1.32984 * -241. 320.49144 What is -0.0057 times 5440? -31.008 What is -0.2 times 0.6023813? -0.12047626 What is 4 times -9767.144? -39068.576 Product of 6325445 and -2. -12650890 What is the product of 740443 and 1.5? 1110664.5 Product of -3.29 and 642573. -2114065.17 Product of 259 and 247.2. 64024.8 Multiply 7223.06 and 0.2. 1444.612 Product of 0.04521 and -250. -11.3025 Work out -3345.02 * -2.7. 9031.554 Work out -4 * -33012.61. 132050.44 0.0026236*748 1.9624528 Multiply -390821746 and -0.1. 39082174.6 Multiply 858 and -115069. -98729202 -51863 * -0.42 21782.46 41815*-0.007 -292.705 What is 32.3 times -166195? -5368098.5 What is 285631 times 59? 16852229 -139608*0.039 -5444.712 What is the product of 47.3 and 0.94988? 44.929324 Multiply -0.0387489 and -1.413. 0.0547521957 What is the product of 8439.2 and 3248? 27410521.6 -453169 * 0.052 -23564.788 7559*-0.06168 -466.23912 Calculate -0.03095*-62.5. 1.934375 Calculate -25611.109*1. -25611.109 Multiply 0.08437 and -21. -1.77177 0.2 times -310983 -62196.6 Calculate 937*-8357. -7830509 What is 29488 times -18151? -535236688 Work out -6.7 * 0.194383. -1.3023661 Product of -35252 and 369. -13007988 705.5 times 12.4 8748.2 Product of 13.4636 and 2652. 35705.4672 Multiply 39 and 3609533. 140771787 3675*-0.3221 -1183.7175 Calculate -2*-0.52633682. 1.05267364 Multiply -0.64 and -403.815. 258.4416 What is -692962 times 4? -2771848 What is the product of 3324.3 and -156? -518590.8 Work out 110 * 7681004. 844910440 -866.36964 * 0.06 -51.9821784 Product of 0.3 and -13732967. -4119890.1 Product of -8168737 and -5. 40843685 Work out 9474 * -0.9299. -8809.8726 Work out 1.300952 * -2. -2.601904 What is the product of 83152 and -0.184? -15299.968 Multiply 3448 and -54.67. -188502.16 -0.23 times 429090 -98690.7 Work out -4.47 * -21242. 94951.74 Work out -57 * -404.18. 23038.26 23 times 2029955 46688965 -4.1 times 0.058511 -0.2398951 Multiply 874170 and 386. 337429620 What is -3.5 times -33744.8? 118106.8 Product of -6611 and 2823. -18662853 -0.0188881 * -13 0.2455453 0.058316 times -9.113 -0.531433708 Product of 4041 and -0.6894. -2785.8654 5171 * -0.02232 -115.41672 Multiply 0.1513 and -60648. -9176.0424 What is the product of 4126144 and 53? 218685632 Product of 148 and -435689. -64481972 383136 times 16 6130176 Product of -0.6 and -175.8297. 105.49782 2*-18316.073 -36632.146 What is 0.0001593 times 0.0549? 0.00000874557 What is 3676 times -46308? -170228208 Product of 22644 and 306. 6929064 Multiply -14.85817 and -0.1. 1.485817 Product of 693 and -28488. -19742184 2595 * -21125 -54819375 Work out -97 * 0.42827. -41.54219 What is the product of 127841.69 and -0.4? -51136.676 14106632*3 42319896 -197340223 times -0.4 78936089.2 Work out -0.5 * -6356156. 3178078 What is -6106.33 times -7? 42744.31 Calculate 1.84*-22.9515. -42.23076 20652 times 406.8 8401233.6 -445757 times -0.49 218420.93 Work out -0.01 * 954.3205. -9.543205 0.03279*370 12.1323 Multiply 688661 and -0.342. -235522.062 Work out -0.4 * -9.7882088. 3.91528352 Product of -113 and 16382.2. -1851188.6 -0.77291 * -0.39 0.3014349 Calculate 5.088*-3.99. -20.30112 Calculate 0.06*9771051. 586263.06 Work out 0.4 * -72933.07. -29173.228 16499.79 times 0.1 1649.979 251381*2.2 553038.2 What is 36 times -3550436? -127815696 -34.7*0.22259 -7.723873 Calculate 1248.803058*-0.3. -374.6409174 Work out -0.18 * -2.51304. 0.4523472 0.051 * -26009.2 -1326.4692 What is 0 times -53491866? 0 -482874.89*5 -2414374.45 755 * -293.52 -221607.6 -33.01618*0.51 -16.8382518 Calculate 81*148059. 11992779 Multiply 0.0281 and -0.0082. -0.00023042 Work out 38.424 * 11.44. 439.57056 Work out 1.4 * -120.741. -169.0374 Multiply -1633.2 and 317. -517724.4 Product of 0.53664 and -0.055. -0.0295152 -201 * -3757.2 755197.2 Multiply -0.39922 and 1.188. -0.47427336 Work out 189.5587 * 0.4. 75.82348 What is the product of -4 and -0.04611317? 0.18445268 0.5 * -5833021 -2916510.5 0.010821793 * -0.3 -0.0032465379 2458.4 times 1238 3043499.2 0.2 * -11509741 -2301948.2 What is -0.032 times -2.800296? 0.089609472 What is the product of -492.75 and 0.03258? -16.053795 -3437 * 386 -1326682 18793*-0.84 -15786.12 Product of 0.477 and 49157. 23447.889 Calculate -274.8863*1.1. -302.37493 -17 * -58554.6 995428.2 Calculate 1097772.1*0.5. 548886.05 What is 26.023 times 1527? 39737.121 Product of 264203030 and -0.5. -132101515 What i
{ "pile_set_name": "DM Mathematics" }
- 3 = -w*k, 0 = 4*p + 4*k - 24 for p. 3 Suppose -j - 21 = -4*a, -j + 12*a - 7*a - 24 = 0. Let m be (-224)/(-10) + j/(-15). Solve -2*c - 1 = d, 5 = -4*c + 2*d + m for c. 2 Let g be 15*11/12*-2*1268/(-1585). Solve o + 23 = -5*x, 0 = -6*x + 10*x + 2*o + g for x. -4 Let t = -13685 + 13690. Solve 3*w + 5 - 24 = t*v, -5 = -w + v for w. 3 Let f(p) = 83*p + 944. Let g be f(-11). Solve 0 = 3*z - 3*b + 6, 4*b - g = -5*z - 50 for z. -3 Suppose -3*m - 17*z + 21*z + 17 = 0, -5 = -3*m - 2*z. Solve -2*t + 3*t - 17 = m*u, -3*t = u - 11 for u. -4 Let c = -6125 + 6125. Solve 2*q + 12*r = 8*r - 2, c = -2*q + 2*r + 10 for q. 3 Let t(u) = -u**2 + 38*u - 262. Let f be t(27). Solve -3*y - j = 13, j - f = 5*y - 8 for y. -5 Let j(f) = 7*f**2 + 21*f + 33. Let y(c) = 3*c**2 + 10*c + 16. Let d(k) = -4*j(k) + 9*y(k). Let l be d(7). Solve -22 = 2*t + l*z - 6, 3*t - 2*z + 5 = 0 for t. -3 Let g = 56 + -56. Suppose 2*n = -4*d - 12, -4*n = -g*n + d - 11. Let q be -1 + n + (-4 - -11). Solve f + 6 + 0 = -3*c, -5*c - q = -5*f for c. -2 Let k be -275 + -1 - (29 + -25). Let h = -278 - k. Solve -3*c + 3 = 2*l, 3*c - 2 + 11 = h*l for l. 3 Suppose -9*n = -2*n + 42. Let x be 794/8 + 0 - n/(-24). Suppose -7*b + x = 4*b. Solve 0 = -3*a + b, i - 13 - 4 = -5*a for i. 2 Let u be 1 + (2/(-10))/((-5)/25). Suppose -u*l - 5*l = -161. Suppose 19*b = l*b - 16. Solve 4 = -b*t - 4*v, -4*v - 25 = -5 for t. 4 Let z = 28310 + -28308. Solve -24*r - z = -n - 27*r, 0 = -n + 4*r - 12 for n. -4 Let i(u) = 2*u**2 - 6*u - 66. Let h be i(-5). Suppose -15*q + 4 = 4*y - h*q, 0 = -5*y + 3*q + 22. Solve 0 = r + 3*v - 5, 4*r - y*v - 2*v = 20 for r. 5 Let k = -18600 + 18607. Solve 11*o + 5*u - 10 = k*o, 0 = u + 2 for o. 5 Suppose 5*y + 88 = 4*y. Let w = -85 - y. Solve -4*l + w*l + 2*b = -9, -5*b - 35 = -5*l for l. 5 Let w(b) = -b**2 - 12*b - 3. Let f be w(-11). Suppose -p - 2 = 5*s, -f*s - 62 = -5*p - 9*s. Solve r = -3*l + p, -l - 2*l + 17 = 5*r for l. 4 Suppose -6*u + 2*u = 0, 4*u = -2*b + 34. Suppose -b*m + 14 = -10*m. Solve -4*s - s = -n - 21, -m*s + 8 = 0 for n. -1 Let j(y) = -2*y**3 - y - 1. Let g(h) = -6*h**3 - 16*h**2 - 5*h + 2. Let r(o) = -g(o) + 4*j(o). Let l be r(8). Solve 2*v - 10 + 2 = -l*k, 0 = k + 4*v - 13 for k. 1 Suppose -s + 2*o = 8, -55*s = -52*s + 2*o - 16. Suppose 4*f = 5*t + 5, 3*t = -f + 16 - s. Solve -2*a = t*j - 8, a + 3*j = 6 + 1 for a. 1 Suppose 0 = -5*p - 0*i - 3*i + 27, 4*i + 22 = 3*p. Suppose -4*q - a + 12 = -3*a, 2*q - 14 = 5*a. Solve -x + 15 = -p*x, -9 = q*w + 3*x for w. 0 Let q be 4/5*20/8. Let a(u) = -15*u**3 + 2*u - u**q + u + 9*u**3 + 5*u**3 + 5. Let g be a(-2). Solve 9 = -g*f + 5*n + 22, -4*n = 4*f + 36 for f. -4 Suppose 15*p - 9 = 3*r + 12*p, -4*p = 5*r - 30. Solve 2*h - 4 = 3*o - 6, 2*o = 2*h - r for o. 4 Suppose 5*b - 65 = -0*b. Let n(i) = i**2 - 12*i - 9. Let q be n(b). Suppose 14 = 3*x + 5*a, 3*x - 20 = q*a - 6*a. Solve y - 3*y - x = 0, -3*h + 10 = -4*y for h. -2 Let m = -3112 + 3112. Let k(c) = -c**3 - 6*c**2 - 4*c + 8. Let u be k(-5). Solve -o = -u*i + 1 - 3, 5*i = m for o. 2 Suppose -6*a = -65 - 61. Let v be (-3)/18*2 + 7/a. Solve -3*x - 2*k - 3*k - 2 = v, 5*k = -x + 6 for x. -4 Let f be (-2)/4 + (-3 - 99/(-18)). Suppose 2*p - 74 = -3*q, 5*q - 114 = -3*p + 2*p. Solve f*j = j + 5*d + 15, 3*d + q = -2*j for j. -5 Let w be 6*(-2 - (-3577)/(-21)). Let q = 1063 + w. Solve -9 + q = -2*m + 4*a, 3*m = -a - 2 for m. -2 Let t(w) = 2*w**2 - 7*w - 45. Let o be -5*((-20)/(-60) + 14/30). Let g be t(o). Let u = 7 - 4. Solve u*f = 3*j + 4*f + g, 17 = -5*j + f for j. -4 Let a be (558/(-21))/(-1)*(2 - -5). Let n = a + -183. Solve 9 = n*b + 3*m, 1 = -b + 4*m + 9 for b. 4 Let o be ((-87)/18)/(-29) - (-1)/(-6). Suppose 3*i - x - 7 = o, -3*i = 2*x - 6 + 2. Solve -3*p = -i*s + 10, -s = 5*p - 4 - 1 for p. 0 Let d be (2 - (3 - 3))*28/(-56)*-3. Solve 0 = -o + 2*n + 5, -d + 8 = -3*o + 2*n for o. -5 Suppose -2*o - 3*c + 8 = -0*o, 5*c + 24 = 2*o. Solve p + 2*g = 6, o*p - 6 = 10*p - 2*g for p. 0 Suppose -o = -5*h + 10, -4*o - 4*h = -9 - 23. Suppose 242 = 82*v - 168. Solve m + 15 = -f - 2*f, v*f = -o*m - 35 for m. -3 Let g(y) = -58*y + 168*y - 58*y - 48 - 61*y. Let q be g(-6). Solve 2*j = 2*z + j - q, 3*j = -3*z for z. 2 Let l be 34*(6984/408 - 17). Solve -8*d + 10 = 5*r - 6*d, l*r - 8 = 2*d for r. 2 Let p be 10/4*(2 + 0). Let s be (-3)/1*1 - -60. Let t = s - 55. Solve -t*d = 6, -n + d + 2 = -p for n. 4 Suppose 0 = -5*k + 6*k + 3, n + 4 = -2*k. Solve -3*p - 4*t = -n, 0 = -t - 23 + 22 for p. 2 Suppose 0 = -19*d + 521 + 182. Suppose -d*q = -34*q. Solve 4*z - 3*o + o - 16 = q, 0 = -5*o for z. 4 Suppose 3*g = -3*r + 18, -3 = -3*r - 5*g + 17. Let c be (-64)/(-22) - 2/(-88)*4. Solve -2*t = 2*w - 7 - r, c*t + w = 12 for t. 3 Let g(h) = -10*h + 1. Let p be g(-1). Suppose -5*b - 7 = -3*t, t + b = -4*b - p. Let d be t/(-2)*14 + -5. Solve 0 = 3*o - 2*w + 14, -7*o + d*o = -w + 14 for o. -2 Suppose -107 = -36*t + t + 33. Solve 2*f - t = 0, -3*k - 16 = -4*f - f for k. -2 Suppose -3*k + 3*u = -93, -3*k = 9*u - 10*u - 83. Solve -5*f + k = m, 25 - 7 = 4*f - 2*m for f. 5 Let h be 6/3 - (-103 + -3). Let x = h - 42. Let f be ((-3)/6)/((-11)/x). Solve 2*g - 22 + 1 = 5*z, -f*g = 4*z + 3 for z. -3 Suppose 618*j - 616*j - 6 = 0. Solve o - 1 = g, j = 4*g + 7 for o. 0 Let u be 5*14 - 4560/285. Solve -m = -5*h + 4, -u = 4*m - 4*h - 38 for m. -4 Let x(z) be the third derivative of z**5/60 - 17*z**4/24 + 47*z**3/6 + 13*z**2 - 3. Let t be x(14). Solve -23 + 4 = -3*r + t*m, r - 23 = 5*m for r. -2 Let i be 0/(1 - 3) + 6. Suppose -3*n + 6 = z, -i*z = n - 3*z - 2. Solve 0 = -3*w + 5*p + 34, 4 = -n*w + 3*p - 5*p for w. 3 Suppose 2*m + 3*m - 5*p = 105, -m + 4*p = -30. Suppose -2*b = -5*v - 53, b + 5*v - 70 = -81. Solve -3*g = -2*s - 8*g + b, -3*g = -2*s - m for s. -3 Let x = 45 - 43. Suppose 0 = -3*b - 5*v - x + 21, 0 = 5*b + 4*v - 23. Solve j + 3 = 0, -b*m - 5*j - 3 = -0*j for m. 4 Let y(o) = -911*o - 4552. Let q be y(-5). Let l = 15 - 13. Solve 5*r + 2*j - 4 = q*j, 0 = l*j - 2 for r. 1 Let i be 8/40 + (-2256)/5. Let l = 454 + i. Solve 4 = 2*x - c - c, -3*x = l*c - 6 for x. 2 Let t(f) = 2*f + 1. Let j(y) = 7*y + 20. Let z(a) = -j(a) + 4*t(a). Let c be z(18). Solve 0*h - 9 = -3*s + h, c*h = -3*s for s. 2 Let n(s) = -s**2 + 7*s + 4. Let r be n(7). Suppose 0*c = -2*c + r. Suppose -39*m = -113*m + 444. Solve -m = -2*j + o, 4*j - c*o = -7*o - 2 for j. 2 Suppose -2*p + 1 = 4*r - 35, 4*r = 4*p - 108. Solve v - 3*k - 5 = 0, -28*v + p*v + 5*k - 1 = 0 for v. -4 Let t(a) = a**2 + 2*a - 10. Let s(p) = 7*p + 80. Let h be s(-11). Let b be t(h). Solve 0*z - 5*g = -2*z - 5, -b*g = 4*z - 5 for z. 0 Suppose 2*c + 16 = 4*k, -4*k - 5*c - 35 + 37 = 0. Solve k*o + 13 = -4*n + 5, o + 6 = -2*n for n. -5 Let t(n) = n**3 - 8*n**2 + 16*n - 2. Let z be t(4). Let h be (z/5)/((-16)/400). Solve -q + 17 = 3*q - 5*c, h = 4*q + 2*c for q. 3 Let c(j) = -50050 + 10*j**2 - 53*j + 50106 + 14*j**2 + 29*j**2 - j**3. Let f be c(52). Solve d = 2*i - 8, -f*d - i = -5*i + 20 for d. -2 Let t be -8*1*66/(-33). Suppose t + 19 = 7*j. Solve -w - 5 = -2*o, -j*o + 6 = -4*w + 1 for w. 5 Suppose 2769 - 2393 = 94*h. Solve -3*t + p + 15 = -5*t, 4*p = h*t for t. -5 Let c(y) = 3*y**2 - 30*y + 5. Let o be c(10). Suppose -u + o = q, u + 1 = 11*q - 10*q. Solve 4*g = -2*k + 8, -6 - 5 = -q*g - 4*k for g. 1 Let c(m) = 491*m + 2466. Let p be c(-5). Solve 4*l + 16 = 4, 3*l = w - p for w. 2 Suppose 25*o - 68*o + 115 + 14 = 0. Solve -k + 10 = -o*y, 13*y - 9*y + 8 = 0 for k. 4 Let u = 819 - 820. Let p be ((-1)/((-10)/(-60)))/u. Solve -p = z - a - a, -3*z = -a + 8 for z. -2 Let j = -188 + 233. Let y = 5 - 47. Let n = y + j. Solve n*l - 3*b + 6 = l, 2*l + b = -6 for l. -3 Suppose -6*m + 161 = m. Suppose 1 = -4*c - m. Let r be ((-4)/2)/((-15)/c - 3). Solve 5*d = r*s - 25, s - d - 26 = -4*s for s. 5 Let w(l) = -l**3 + 12*l**2 - 22*l + 36. Let c be w(10). Solve -3*k - 3*t = 0, 7*t + c = 3*k + 6*t for k. 4 Let h be (-16)/20 + (-5082)/(-15). Let r = -334 + h. Solve -t + 2*t - r = -4*n, -18 = 3*t - 3*n for t. -4 Suppose 20*m = 22*m - 10. Let t = 33 + -19. Suppose u + 4*a = -4*u + 2, 5*u - 2*a = t. Solve 0 = d - s + m, 3*d - 2*s + 19 = u*s for d. -1 Let p be 11/((-3)/(-12) + 3/(-36)). Let z = p + -41. Suppose 4*k + 5*u - z = 3*k, -4*u + 31 = 3*k. Solve -5*n - 15 = -k*g, -4*n - g + 1 = -2 for n. 0 Suppose -
{ "pile_set_name": "DM Mathematics" }
to -17? (a) 2 (b) y (c) -1/6 b Let g = -6 - -6. Let k = -0.0518 + -0.0482. Which is the closest to k? (a) 2 (b) g (c) 1 b Let j = -157/720 + -1/240. Which is the nearest to 11? (a) 0.4 (b) j (c) -3 (d) -1/3 a Let s be 3/15 + (1 - 0). Let m(l) = l**2 + 6*l - 1. Let q be m(-6). Let o = 42 + -40. Which is the nearest to -2? (a) s (b) q (c) o b Let p = -1.553 - -1.553. What is the closest to -1/3 in 0.5, 0.4, p, -5? p Let x = 0.2 - 0. Let q = 0 + x. Let y = -1.07 + 0.07. Which is the closest to q? (a) 3 (b) -2/3 (c) y b Let a = -64.05 - -64. Let b = 13 - 13.45. Let j = b + a. What is the nearest to 0.1 in j, -5, -4/3? j Let f be 3 + -2 + -1 + 2. Let k = -2.8 + 4. Let w = 1.3 - k. Which is the nearest to f? (a) 0.5 (b) 0 (c) w a Suppose 2*i + 15 = 25. What is the closest to 0 in -3, 0.5, -0.05, i? -0.05 Let u = -1.6 - 0. Let m = -112.7 + 113.7. Which is the nearest to m? (a) 0 (b) u (c) -0.1 a Let o = 1625 - 1620. Let p = 6 - 8. What is the nearest to -1 in p, o, 3? p Let k = 0.047 + 0.353. Which is the nearest to -1? (a) -1 (b) -0.3 (c) k (d) 0 a Let o = 17796/7 + -2542. Let u = 8/17 + -58/51. What is the closest to u in -4, o, 0? 0 Let j = 0.2 + -0.1. Let i = 0.004 + -7.404. Let q = 7.36 + i. Which is the nearest to -2/5? (a) -5 (b) q (c) j b Let x(h) = -h**3 - 2*h**2 - 8*h - 8. Let o be x(-4). Let s = o - 170/3. What is the closest to s in 0.4, 2/9, -1/5? -1/5 Let f = 0.4 + -0.4. Let n = 97 - 95. What is the nearest to n in 1, f, -0.5? 1 Let f be (-56)/(-10) - (-24)/60. Which is the closest to -1/4? (a) -0.5 (b) f (c) -3 a Let r = 0.991 + -1. Let u = r - -5.009. What is the nearest to 2/9 in 1/5, 3, u? 1/5 Let l = 2.9493 + 0.0507. Which is the nearest to -6/11? (a) -1 (b) -2/3 (c) l (d) -3 b Let i = -2.05 - -1.85. Which is the closest to 1? (a) -3 (b) i (c) 13 b Let l = -81.976 + -0.024. Let o = l - -87. Which is the nearest to -1/2? (a) o (b) 3/8 (c) -5 b Let o = -31.3 - -36. Let r = o - 6.7. Which is the nearest to r? (a) -3 (b) 0 (c) 1/5 a Let f = -6/17 + 13/85. Let x = 1.751 + -2.251. What is the nearest to f in 0, -0.1, x? -0.1 Let k = -15 - -13. Let t = 0.21 - 0.11. Which is the nearest to 0.4? (a) t (b) 5 (c) k a Suppose 5*u = 5*i + 5, 2 + 2 = u - 2*i. Let m be 10/12 + 55/(-66). What is the nearest to 0.06 in -1/6, m, u? m Let p = -8.7 + 5.7. Which is the nearest to 3? (a) -0.1 (b) -5 (c) p a Let x(b) = -b**3 + 3*b**2 + 4*b + 1. Let w be (5 - 1)*-6*(-1)/6. Let f be x(w). What is the closest to f in 0.01, -3, 0.2? 0.2 Let o = 22 - 12. Let x be 10 - o - (3 + 1). What is the nearest to -4 in -2, x, -3? x Let m = -0.8 - -1.2. Let v = -1226/9 + 136. Let b = v - 4/9. What is the nearest to b in m, 4, 0.2? 0.2 Let f(l) = l**3 - 7*l**2 + 5*l. Suppose 27 = 5*w + 2. Let u be f(w). Let x be u/7 + (-5 - -8). Which is the nearest to -0.2? (a) 1/7 (b) -2 (c) x a Let u = 678/5 + -136. Let l = -36/65 - u. Which is the nearest to 0.08? (a) l (b) -3 (c) -1 a Let p = 162 + -111. Let k be (1/p)/(2/12). Let n be 1/(-9)*(-1 - 5). Which is the nearest to n? (a) k (b) -3/2 (c) -2 a Let v = -20/51 - 2/255. Which is the nearest to -4/9? (a) v (b) -3 (c) -1/5 (d) 2 a Suppose t + 143 = 2*n, 2*n = -n + 3*t + 213. Let p be (-4)/n*4*(-1)/2. Let h = 5 - 4. Which is the nearest to h? (a) p (b) 7 (c) 0.3 c Let l = -20.7 - -20.8. Which is the closest to -1? (a) 2/9 (b) l (c) 0.73 b Suppose -4 = 4*z + 16, 3*z = 4*l - 27. Suppose 44 = -l*s + 14*s. Which is the closest to 2? (a) 4/3 (b) s (c) -5 a Let k = -0.6 - -3.6. Let x(i) = -i - 10. Suppose -5*f + h = 18 + 18, 12 = -2*f + h. Let g be x(f). Which is the closest to -2/9? (a) -0.1 (b) g (c) k a Let i = 13.1 - 12.8. What is the closest to -8/5 in 0.2, -0.04, 3, i? -0.04 Let o = 0.02 + -0.42. Let p = -100.9 - -111. Let w = p - 6.1. What is the nearest to 0.1 in o, w, 0? 0 Let p = -37 - -40.1. Let n = p - -1.9. Which is the closest to 0? (a) 2 (b) n (c) -1/3 c Let m be 153/(-21) + 8/28. Let f = 5 + m. Let t be (f/(-1))/(2/5). Which is the nearest to -0.1? (a) 0.4 (b) t (c) 2 a Suppose 0 = -3*j + k - 10, j + 12*k - 13*k = 0. What is the closest to -0.3 in 1/7, 9, j? 1/7 Suppose 2*x - 1 = -5. Let w be (-3)/2*(-8)/(-6). Let f = 4 + -2. Which is the closest to x? (a) -5 (b) f (c) w c Let t = -30/13 + 99/26. Which is the nearest to 3? (a) 1/7 (b) t (c) 1 b Suppose -7*y - 35 = -5*r - 2*y, -2*r + 3*y = -16. Let a = 7 - 10. Let u = -2.5 - a. What is the nearest to -1/4 in u, -2, r? u Let a be (-950)/90 - -8 - (1 - 4). What is the closest to -1 in -1.2, 1/5, a, 1/4? -1.2 Let k be (1/(-2))/(18/(-12)). What is the nearest to 0.21 in k, 2, -2/3? k Let p be ((-8)/28)/((-681)/(-7)). Let n = p - 1340/7491. Which is the nearest to 0.3? (a) -1/5 (b) 3 (c) n c Suppose -179*v + 9 = -188*v. What is the closest to -0.5 in v, -4, 4? v Let r = -13.96 - -14.06. Which is the nearest to -0.2? (a) 2/7 (b) 1 (c) r c Let m = -149/410 - 3/82. Which is the nearest to -3? (a) m (b) -0.3 (c) -1 c Let v = 0.1 - 0.1. Let m be ((-1)/4)/(22/8294). Let j = m + 94. What is the nearest to j in -0.4, -2, v? -0.4 Let x = 1 - -1. Let f = 298.6 + -298.2. What is the nearest to 2/7 in x, 0.3, f? 0.3 Let p be (-4)/42 - 0/2. Let q = -3/7594 + -34167/15188. Which is the closest to q? (a) p (b) -5/2 (c) -1/3 b Let j be (-82)/28 - (-57)/(-798). What is the nearest to 2 in 3, -0.2, j, -3/2? 3 Let i = -19 - -20. Let c be i/(-3) - (-18)/52. Let d = c - -17/26. What is the nearest to -2/5 in 2, d, 5? d Let v = 23.8 + 1.7. Let f = 26 - v. Let h = 0 - 0.1. Which is the closest to h? (a) -1 (b) f (c) 2/5 c Let w = -77 - -72. Let l = -2/123 + 268/1353. Let o be (-10)/80 + 42/80. Which is the closest to 1? (a) o (b) l (c) w a Let u = -96 + 114.4. Let j = u - 17. Let d = j - 0.4. Which is the nearest to -3? (a) -1 (b) 0.4 (c) d a Let i = 1071 - 7495/7. Which is the nearest to -1? (a) i (b) 1/2 (c) -24 (d) 5/6 a Let r(x) be the second derivative of x**3/6 - x**2/2 - 2*x. Let p be r(1). Let k be 4/((-8)/2) - 8/(-4). Which is the closest to p? (a) 0.2 (b) 5 (c) k a Suppose 0 = 4*j - 2*i - 20, 4*j - 19 = 4*i + 1. Which is the closest to 1/5? (a) -0.5 (b) -0.4 (c) j b Let q = -2.5 - 0.5. Which is the closest to -1/5? (a) q (b) -1 (c) 1/4 c Let t = -977.1 + 939. Let m = -5.1 - t. Let j = m + -32.8. Which is the closest to 0.1? (a) -0.03 (b) -0.4 (c) j c Let f = 0.456 + 3.546. Let m = -0.002 + f. Let q be 2 + -6*(-8)/(-20). Which is the nearest to q? (a) -5 (b) m (c) 0 c Let w = 0.01 - 0.11. Let h = -4 - -3. Let q = -0.71 + 0.31. Which is the nearest to w? (a) q (b) 0 (c) h b Let n = -29/5 + 503/85. Let d = 7.7 + -8. What is the nearest to -1 in 1/4, n, d? d Suppose -27*j - 869 = -248. What is the closest to j in 0.5, -0.5, -2/23? -0.5 Let c = -10 + 29/3. Let d be -16 + 25 - 2/6*21. What is the nearest to 4 in -0.3, c, d? d Let u = -4 + 2. Let n = 1.2 - -8.8. Let r = n + -10. Which is the nearest to 0? (a) u (b) r (c) 1 b Let z = -3.1 - -3. Let s = -4368 + 4368. What is the closest to z in 0.5, s, 0.19? s Let f be (2 - -2)/((-30)/(-3)). Let r be (-2)/(-8) - 2*6/96. What is the closest to f in r, -0.1, 0? r Let k be (-9 - 748/(-33)) + -12. Which is the nearest to 0? (a) 5 (b) -0.7 (c) 1 (d) k b Let v = 323.4 - 323. Which is the closest to -1? (a) v (b) 2 (c) -6/25 c Let l = -0.18 - -7.18. Let j = -7.3 + l. Let h be (-1095)/(-1022) + (-4)/7. Which is the closest to h? (a) j (b) -3 (c) 0 c Let k = -1325/3 + 441. Which is the nearest to -0.03? (a) k (b) 1/2 (c) 4 b Let i = 3.1 + 0.2. Let x = i - -0.5. Let l = x + 0.2. What is the nearest to -0.1 in -5, -0.2, l? -0.2 Let g = 0.5624 + -0.0624. What is the nearest to 0 in 2, g, -5, -0.7? g Let x = -0.021 - -0.021. Let g = x + 4. What is the nearest to 2/7 in g, 5, -1/2? -1/2 Let d = 2/777 - 87/259. What is the closest to -1 in -1/2, 6, d? -1/2 Let b be -9*((-10)/(-3))/2. Let o = b + 9. What is the closest to 0 in 2/7, o, 0? 0 Let j = 0.043 - -4.657. Let l = j - 5. Let d = -303 + 303.2. Which is the nearest to 1? (a) d (b) 4 (c) l a Let b be (-2 + 1)*(-4)/(-10). Let c = -311 + 311. Let d = -4 + 8. What is the nearest to c in d, 7, b? b Suppose -7*h + h = 30. What is the closest to -2 in -0.4, h, -
{ "pile_set_name": "DM Mathematics" }
10 Let j be -3*(-5)/(-75) + (-12 - 3432888/(-90)). What is the highest common divisor of j and 17? 17 Let x = -3295 - -3321. Calculate the highest common factor of 7358 and x. 26 Let r = -439635 + 439900. Let q(b) = 8*b + 5. Let i be q(6). Calculate the greatest common factor of r and i. 53 Let o = 3103 - 2543. Calculate the greatest common factor of 3 and o. 1 Let z(q) = 2796 - 3*q**3 + 2*q**3 - 2779 + 9*q**2 - 20*q. Let x be z(6). Suppose -x*r = -103 + 13. What is the highest common divisor of r and 63? 9 Let y be -10 + 16 + (-18)/2. Let l be y/(18/(-294))*(0 + 1). What is the greatest common factor of 42 and l? 7 Let z = 19 + -15. Suppose -3*i + 86 + 704 = z*k, 202 = k + 3*i. Let v = 297 + -269. Calculate the greatest common divisor of k and v. 28 Suppose 7 = -4*c - f + 3, f = -c + 2. Let z be c/((-16)/44) + 1/2. Suppose 0 = 4*o + z*o - 140. What is the greatest common divisor of o and 28? 14 Suppose -5*p = -d - 418, 4*d + 162 = 2*p + d. Let w = 583 - 580. Suppose q + 3*z - 22 = 0, 5*q = w*z + 39 + 107. What is the highest common divisor of p and q? 28 Let y = 50 + -47. Let u = -60 - -39. Let j be (u/7)/9 + 124/y. Calculate the highest common factor of j and 123. 41 Suppose -29*x + 30 = -24*x. Suppose -14*q = -10*q - 228. Calculate the highest common divisor of x and q. 3 Let n(g) = 3*g**2 - 3*g + 3. Let s be n(2). Suppose 9*t - 4*t = 575. Let f be (-2)/7 + t/35. What is the greatest common divisor of f and s? 3 Let y be 14 + 27 + -3 + 0. Suppose -3*u = -5*g - 662 - 981, -2765 = -5*u - 5*g. What is the highest common factor of u and y? 19 Suppose 221*f = 21*f + 48000. What is the highest common factor of f and 1040? 80 Suppose -13*g - 5*a = -8*g - 255, 2*g - a - 90 = 0. Let l be (-4)/((-12)/g) + 4/(-6). Calculate the highest common divisor of l and 480. 15 Suppose 0 = c + 2*c - 108. Let d be 666/8 - 6/24. Let x = 92 - d. Calculate the highest common factor of c and x. 9 Suppose 0 = -5*o + 4*v + 885, -4*v + 377 = 2*o + 51. Let b be 54/15 + (-10)/(-25) - o. Let r = -106 - b. Calculate the highest common divisor of r and 7. 7 Suppose -o + 3*w + 104 = 4*o, 4*o - 73 = -w. Let g = 1879 + -1803. Calculate the greatest common factor of o and g. 19 Let z(k) = k**2 + 65*k + 1038. Let l be z(-40). Calculate the highest common divisor of l and 152. 38 Let h = -9577 + 9613. Suppose 0*x + 3*x - 72 = 0. What is the highest common factor of h and x? 12 Let l = -74 - -125. Suppose -3*x + 3*u + 480 = 0, 2*x - 174 = u + 149. Let k = -146 + x. Calculate the greatest common divisor of k and l. 17 Suppose -62*m + 5310 = 27*m - 1810. Calculate the greatest common factor of 14020 and m. 20 Let a = -17375 - -17485. Calculate the greatest common divisor of 3920 and a. 10 Let x(a) = -2019*a - 10785. Let z be x(-11). What is the highest common divisor of z and 68? 68 Suppose 3*r = 6, -2*r - 282 = -4*h + r. Suppose 0*y = 2*y - 228. Let q = y - h. What is the highest common divisor of q and 105? 21 Let b = -5499 + 5675. What is the greatest common factor of 1188 and b? 44 Suppose p = 6*p - 4*g - 165, -3*g = 4*p - 163. Let r = p - -116. What is the highest common factor of r and 17? 17 Suppose 205 = -3*g + 580. Let s be 2/(-4)*-2*19. Suppose 17*h = s*h - 100. Calculate the greatest common factor of g and h. 25 Suppose k - 770 - 4499 - 1079 = 0. What is the greatest common factor of k and 24? 12 Let f = 244 + -539. Let m = 305 + f. What is the highest common divisor of m and 250? 10 Suppose -14*z = 22*z + 38*z - 31746. Calculate the greatest common factor of z and 704. 11 Suppose 36*h = 37*h + 2*o - 8073, h = 3*o + 8083. Calculate the highest common factor of h and 394. 197 Let t(w) = w**3 - 6*w**2 + w - 3. Let b be t(9). What is the highest common factor of b and 21? 3 Suppose 0*g - 4*g - 27 = f, 0 = -4*f + g - 159. Suppose v + 96 = 3*u + 56, 4*u + 47 = -v. Let z = f - v. Calculate the highest common divisor of 28 and z. 4 Suppose 0 = -4*n - 19 - 161. Let b be (-14)/(-21) + 249/(-9). Let o be 10/n - 1518/b. Calculate the greatest common divisor of 7 and o. 7 Let u = 2108 + -808. Calculate the highest common divisor of u and 65. 65 Suppose 34*v + 1251 = -279. Let g(l) = -l**2 - 47*l - 70. Let t be g(v). What is the greatest common factor of t and 460? 20 Let n be 28*(-3)/9*(-3)/2. Suppose 4*o - n = -2*p, 8 = p + p - 2*o. Suppose -3*l + 1 = -2, -q - p*l = -71. Calculate the greatest common factor of q and 165. 33 Let c be 348/1276 - 48/(-66). Calculate the greatest common divisor of 881 and c. 1 Suppose -23652 = -17*n - n. Let v(z) = -z**3 + 22*z**2 - 18*z - 45. Let a be v(21). Calculate the greatest common divisor of a and n. 18 Let y = -2 - -6. Let a = -271 + 270. Let k be (-7)/35*5*1*a. What is the highest common factor of y and k? 1 Suppose -29 = -4*g - 1. Suppose 214 = -6*x + 592. Calculate the highest common divisor of x and g. 7 Let f be (23/138)/(1/2)*9. Suppose -5*k = 4*b - 66, 2*k - b + f*b - 28 = 0. Calculate the greatest common factor of 105 and k. 5 Suppose 5052 + 243574 = 23*u - 89267. What is the greatest common divisor of u and 249? 249 Let b be (-407770)/1011*(-18)/5. What is the greatest common factor of 3960 and b? 132 Let x = 16138 - 15819. What is the greatest common factor of x and 493? 29 Let t = 46 - 42. Suppose -3*s - w + 11 = 0, t*s + w - 10 = 6. Suppose 64 - 4 = s*h. Calculate the greatest common factor of h and 6. 6 Suppose 9*a - 12 = -66. Let q be (-128)/a*(-42)/(-56). Calculate the highest common divisor of 1 and q. 1 Suppose 237 = 8*u - 6603. What is the greatest common factor of u and 90? 45 Let y = 157 + -152. Suppose 0 = y*f - 25, -5*p = -0*f + 2*f - 25. What is the highest common divisor of p and 27? 3 Let z be 5/(-9 - (-5)/(140/287)) + 772. Calculate the greatest common factor of 72 and z. 8 Let r(k) be the second derivative of -k**4/12 - 2*k**3 + 6*k. Let a be r(-12). Suppose a = 5*n - 63 + 48. Calculate the greatest common factor of 6 and n. 3 Suppose -2*w - 4*k + 96 = 0, k + 5 + 71 = 2*w. Suppose 5*a - 160 = -2*x, 2*a - 2*x - 38 = w. Calculate the greatest common factor of a and 34. 34 Let h(w) = w**2 - 8*w + 3. Let j = -88 - -34. Let d be j/90 + 43/5. Let q be h(d). Calculate the highest common factor of q and 12. 3 Let k = -14 + 146. Let q(z) = 10*z**2 - 99*z + 74. Let n be q(10). What is the highest common divisor of n and k? 12 Let l(v) = 1698*v + 861. Let y be l(0). Calculate the highest common divisor of y and 2296. 287 Let q = 1016 - 1517. Let h = -271 - q. What is the greatest common factor of h and 138? 46 Let p = 38 - 27. Suppose 22 = 4*q - 5*y - p, q + 4*y = 24. What is the greatest common factor of q and 42? 6 Let a(d) = -d**2 - 8*d + 113. Let h be a(-13). Calculate the greatest common divisor of 372 and h. 12 Suppose 6 = 3*p, -8635 = 235*z - 236*z + 2*p. Calculate the greatest common divisor of z and 212. 53 Let s(z) = -87*z - 1543. Let l be s(-19). What is the highest common factor of l and 154? 22 Let h be (3/(2 - 11))/((-297)/34749). What is the highest common factor of 1469 and h? 13 Suppose 0 = -48*s - 7*s + 7095. Suppose -49*o = -116 - s. Calculate the greatest common divisor of o and 295. 5 Let m be (-4 + 5 - (3 + 7))/(1/(-38)). Calculate the highest common divisor of 306 and m. 18 Suppose -1739 = -5*h + 2*q + 846, 0 = -h + 4*q + 517. What is the greatest common factor of 22 and h? 11 Let c(r) = r + 99. Let v be c(0). Suppose -3*a = -3*x + v, -x = 2*a + a + 87. Let k be (-3)/(-9) - 710/a. What is the highest common factor of k and 12? 12 Let f be ((-4)/(-12))/((-1)/(-111)). Let g = f + -37. Suppose 5*o - 25 = g, -52 = -3*d - 2*o + 54. Calculate the greatest common factor of 80 and d. 16 Let o(f) = -f**3 - 4*f**2 - f + 8. Let c be o(-4). Let w be (-16)/c - 16/(-3). Let m be (w/(-6))/((-2)/69). What is the greatest common factor of 184 and m? 23 Suppose 0 = -r - 2*q - 67 + 152, 10*r - q = 640. Let p be 10*1/(3 + -1). Calculate the greatest common divisor of p and r. 5 Suppose -243504 = -278*i + 230*i. Calculate the highest common factor of i and 19. 19 Let d be (21*1 + -15 + 6)*14/6. Calculate the greatest common factor of 808 and d. 4 Let u = 69 + -67. Let m be (138/8)/(13/(-8) + u). Let q = m + -45. Calculate the greatest common factor of 3 and q. 1 Let i be (-25)/5 + 15 - -6. Suppose 0 = i*a - 4*a - 288. Calc
{ "pile_set_name": "DM Mathematics" }
*j - 5*a. Suppose 0 = 2*l + 8 - 6. What is the closest to l in 1/8, 0.5, j? 1/8 Let t = -1711.1 - -1711. Which is the closest to 2/5? (a) t (b) -4 (c) 0.1 (d) -1/8 c Let b be 4/(7/(28/(-24))). What is the nearest to -0.3 in -2, 1, b? b Let y(v) = 15*v**3 - 330*v**2 + 18*v - 395. Let a be y(22). Suppose 10 = 4*o + 2. Let i be o + (-2)/(-8)*-9. What is the closest to i in a, 7, -0.4? -0.4 Let o = 31.7 + -36.7. Let i = -332.92 + 333. What is the closest to o in -0.2, -1, i? -1 Let n be 14/6*(-1182)/(-26201). What is the closest to -15 in 16, n, 2/11? n Let u = 3.5 + 16. Let j = -22 + u. Let d = -2.5 - j. What is the nearest to d in -3/7, -2/7, 1/3? -2/7 Let v be (-2)/10 - 1/(-3). Let u = 3592/3 + -1197. What is the closest to -4/5 in 1, u, v? v Let i = 0.17467 - -0.82533. What is the closest to -0.1 in 7/3, -0.05, -9, i? -0.05 Let f be (28/(-70))/(6/(-5)). Let m = -1.255 - 0.065. Let v = m + 0.32. What is the closest to f in 5, 6/5, v? 6/5 Let l = 0.709 - -0.101. Let v = l - -3.19. Let t = 8 - 7.7. Which is the closest to 0.1? (a) v (b) 11 (c) t c Let c = 14/93 - -1/62. Suppose 108*g - 90*g - 125 = -35. Let z = -4.6 - -0.6. What is the closest to c in g, 1, z? 1 Let p = 4.83 - 5. Let q = -2.83 + p. Let t = -4.9 + 7.9. Which is the nearest to 0.3? (a) t (b) q (c) -2 c Let y = 2.051292 + -0.051292. Suppose -2*w + 7*w = 20. Which is the nearest to 0? (a) -3 (b) 1/3 (c) w (d) y b Let w = 2529 - 2526. What is the closest to 0.07 in -1/2, w, -2/5, 1? -2/5 Let v be 183/(((-66)/8)/(-11)). Let k be (-21)/(-14) - v/152. What is the nearest to -0.1 in k, -1/9, 0.19? k Let j be ((-6)/4)/(2/(-4)). Let z(f) = -f**3 + 6*f**2 - 8*f + 4. Let w be z(4). Let y = -1.2 + 1. What is the nearest to y in -0.1, j, w? -0.1 Suppose 6*u + 24 = -6. Let o = -0.4117 - -0.0117. Which is the closest to -0.1? (a) o (b) u (c) 0.07 (d) -2 c Let f = 34549/120 + -2299/8. Let t = 5 - 9. What is the nearest to f in -1, t, -1/4? -1/4 Let m = -1 + 5. Let l = 3025 - 2733.8. Let f = l + -291. What is the closest to -0.2 in f, 1/7, m? 1/7 Let w = -1/1603 - -22445/4809. Which is the nearest to w? (a) 1/4 (b) -39 (c) -5 a Let m = -21198 + 21199.1. What is the closest to m in 57, -3/5, 0, -1? 0 Let k = -20 + 20. Let w = -18757/5 + 3752. Which is the closest to k? (a) w (b) 5 (c) -0.1 c Let m = 17354 - 17352. Which is the closest to -5? (a) -2/15 (b) m (c) 2/185 (d) -0.5 d Let m = -2 - -4. Let y = -392 + 227. Let l = y - -1153/7. Which is the nearest to l? (a) -3 (b) m (c) 4 b Let p = -36.09 - -39.09. What is the closest to -0.11 in 0, 9/2, 0.4, p? 0 Let h = 702076/13 + -54006. Let i = -0.1 + 0.3. Which is the nearest to 1? (a) h (b) 2 (c) i c Let z be 9 + (-9)/(-54)*-50. Let l = -49 + 48.5. What is the nearest to z in -0.08, l, 1, 5? 1 Let w = 9546.26 - 9548. Which is the closest to -2/7? (a) 5 (b) 4 (c) w (d) -2/7 d Let s = -0.16093 - 136.83907. Let d = -0.49 - -0.69. What is the nearest to -0.2 in -1/5, d, s? -1/5 Let z = -12 + 9. Let t = -19 - -30. Let v = 9 - t. Which is the closest to 0.2? (a) 4 (b) z (c) v c Let f = -16 - -19. Let h = 0.1537 - 6.1537. Which is the nearest to 1? (a) f (b) -1/7 (c) h b Let v = 21.66 - 0.66. Let t = -19.86 + v. Let r = 0.14 - t. Which is the nearest to 1? (a) r (b) 0 (c) 16 b Let f be (-195)/630*4 + -2*3/(-6). What is the closest to -2/7 in 0.5, 3, f, 4/5? f Let s = -5057 + 5027. Let z = -6 - -11. Which is the closest to s? (a) 1 (b) -0.3 (c) z b Let q = -0.305 + -0.195. Let f be 1*((-140)/(-255) - (-6)/(-9)). Which is the nearest to q? (a) f (b) 5 (c) -4 a Let h be ((-14)/(-4))/((-21)/1512*-18). Which is the nearest to -1? (a) h (b) 6 (c) -28 b Let i = -0.017 + 1.797. Let s = 0.22 + i. Let r = s - 7. Which is the nearest to -0.1? (a) 1/2 (b) r (c) 2 a Let r be (-12 - 282/(-24))/((-14)/(-16)). What is the nearest to 0 in -0.3, -0.144, r? -0.144 Let l = -4732 + 4731.7. Which is the nearest to 1? (a) l (b) 5/2 (c) -5 (d) 4 a Let d = 8449 - 8448.9. What is the closest to d in -0.1, 0.1, 2, 1/6? 0.1 Let w be 4/((1 - -3) + (-258)/61). Let y = w + 453/28. What is the nearest to 2/9 in 0, y, 1? 0 Let m = -33/233 - -38377/272610. What is the closest to 1 in m, 1, -0.1? 1 Let q = 0.3 - -0.7. Let r = -1.49571 - 1.50429. Which is the nearest to r? (a) 2 (b) q (c) 5 b Let a = -4867 - -4867.4. What is the nearest to 2 in 0, a, -29, 2/9? a Let n = 12198666745 + -63189094249259/5180. Let l = 63/740 - n. Let u = l - 99. What is the nearest to 0.4 in u, 5, 4? u Suppose 23*f + 42 = -5*v + 25*f, 0 = 4*v + 3*f + 52. Suppose -4*t + t + 3 = 0. Which is the closest to t? (a) v (b) -4 (c) 5 c Let r be (-344)/129*(147/36 - 4). Which is the nearest to 1? (a) 6.5 (b) 2/5 (c) r (d) -4 b Let z = 180 - 1618/9. Let j = 9.23 + -9.3074. Let v = -0.0226 + j. Which is the closest to 0.4? (a) v (b) z (c) 0.5 c Let z be ((-8)/(-168))/((-24)/(-854)). Let g = z - 4/9. Let q = -5.1 + 5.1. Which is the nearest to q? (a) 12 (b) g (c) 0 c Suppose 0 = -v + 4*t - 1, 2*t + 26 = 3*v + 19. What is the nearest to -0.1 in -14/5, v, -1.5, -0.4? -0.4 Let o = -7.2686 - -2.2686. Which is the nearest to -161? (a) 5/4 (b) o (c) -2/19 b Let u = 33 + -33.34. Let r = u + 0.24. Let l = 6.1 - 3.1. Which is the nearest to -9? (a) l (b) 1 (c) r c Suppose 2*c - 5 = q, -5*c + 13 = -3*q - 0. Let z = 48.84 + -5.44. Let u = z - 48.4. What is the nearest to -1 in u, q, 5/6? q Let h = -2/42483 + 24278/42483. Let j = 1 + 0. Which is the closest to h? (a) 0.1 (b) -2/17 (c) j c Let v = 737.1 - 724.1. What is the closest to v in 3/7, 3/4, 5? 5 Let k = -4273 - -4278. What is the closest to 1/4 in k, -5, -1/25, 0.1? 0.1 Let m = -9367 + 9375. Which is the closest to 3/2? (a) m (b) -0.6 (c) 0.2 (d) -0.2 c Let l = 3602.9 + -3607.9. What is the closest to 0.05 in 4, -284, l, -0.4? -0.4 Let p = -332.5 - -345.5. What is the closest to 9 in 0.4, -0.4, -0.1, p? p Let x = 9 - 9.2. Let h = 1.63872 + 0.36128. Let u be (-4)/14 - 38/14. Which is the closest to x? (a) -2/7 (b) h (c) u a Suppose -12 = -r - 4*s, 4*r - s - 61 = -4*s. Let l = 21 - r. Let n = -4888 + 4892. What is the closest to 0.04 in -5, l, n? n Suppose 213*x = 251*x + 114. Which is the nearest to 2? (a) 837 (b) 0 (c) x (d) 3 d Let p be 10*(-3)/(-6) + -519 + 516. What is the closest to p in 1, -0.1, -1/3, 5? 1 Let n = -2939322/30365 - 2/6073. Let q = n + 97. Which is the nearest to 1/3? (a) q (b) 0.3 (c) 17 b Let o be 175/35 - (10/3 - -1). Let z = -26.17 + 0.17. Let r = -25.7 - z. What is the closest to o in 2/15, r, -6? r Let m = -46755.32 + 46755. What is the nearest to -33 in 2, m, -4, 0.4? -4 Let p = -296.6 - -296.1. Which is the closest to 0.0402? (a) p (b) -1 (c) 2 a Let k = 16 + -10. Let v = -0.058723 - -0.358723. Which is the closest to 1/4? (a) k (b) v (c) -5 b Let g = -1037 - -772. Let z = g - -270. Let t = 0 + 0.1. Which is the nearest to -1? (a) -1 (b) t (c) z a Let u = 3.4 - 3. Suppose -1829*d + 8 = 4*v - 1828*d, 2*v - 8 = -d. Which is the closest to u? (a) 0.2 (b) v (c) -2 a Let i = -3444 + 3448. What is the closest to -2 in i, -1/3, 1? -1/3 Let v be (5 + 890/(-190))/3. What is the nearest to 6/5 in 40, v, 3, 0.4? 0.4 Let x = 138 + -98. Let a(r) = 4*r + 2. Let g be a(-10). Let m = g + x. What is the nearest to m in -4, -4/3, -2/5? -2/5 Let k = -1.2679 - -1.3179. Which is the closest to 15? (a) 0.4 (b) -0.08 (c) -3 (d) k a Let s = -4 - -7. Let m = -1508.8 + 1508.6. What is the closest to 2/9 in s, 4, m, -3? m Let a = 0.7281 + -0.6281. Let g(y) = -y**2 + y. Let k be g(1). What is the nearest to -2/3 in k, 7/4, a? k Let p = 0 - -0.2. Let f be (30/(-9) + 4)*(-183)/488. Which is the nearest to f? (a) 5 (b) p (c) -5 b Let x(q) be the third derivative of -11*q**4/12 - q**3/6 + 6*q**2. Let h be x(2). Let z = h - -40. What is the closest to z in -4, 0, -1? -4 Let n = 11230.9 - 11231. Which is the closest to n? (a) -0.2 (b) -0.12 (c) -3 (d) -5 b Let k = -11 - -15. Let s be -342 - 6*(0 + -1). Let o = s + 337. Which is the closest to 1? (a) o (b) k (c) 17 a Let f = -17 - -20. Let t = 10 - 11.1. Let n = 1.2 + t. Which is the nearest to n? (a) 0.02 (b) 1 (c) f a Suppose 0 = 2*h - 3*m - 9, 1 = -h + m + 5. Suppose 669*r - 358*r - 32 = 343*r. What is
{ "pile_set_name": "DM Mathematics" }
ent from yvvvyyyvgyv. Give prob of picking 2 v. 2/11 Calculate prob of picking 1 m and 1 t when two letters picked without replacement from qvytm. 1/10 Two letters picked without replacement from {f: 2, y: 4}. Give prob of picking 2 y. 2/5 Calculate prob of picking 2 d when two letters picked without replacement from nrndd. 1/10 What is prob of picking 2 s when two letters picked without replacement from ssjsjjssss? 7/15 Calculate prob of picking 2 x and 1 l when three letters picked without replacement from {r: 2, w: 3, d: 1, x: 4, l: 1}. 2/55 Three letters picked without replacement from {g: 1, m: 3, t: 11}. Give prob of picking 1 g, 1 m, and 1 t. 33/455 Three letters picked without replacement from {i: 10, o: 1, d: 9}. What is prob of picking 3 d? 7/95 What is prob of picking 1 o and 2 x when three letters picked without replacement from vkrxrxrvorkrg? 1/286 Calculate prob of picking 1 o and 1 h when two letters picked without replacement from gkhohhhggh. 1/9 Four letters picked without replacement from {q: 1, m: 5, t: 1, n: 5, g: 7}. What is prob of picking 1 g, 1 t, 1 m, and 1 q? 35/3876 What is prob of picking 1 m, 1 a, 1 c, and 1 d when four letters picked without replacement from {d: 1, y: 2, m: 2, a: 2, c: 1}? 2/35 What is prob of picking 1 d and 1 j when two letters picked without replacement from {j: 4, l: 3, m: 1, d: 10}? 40/153 Two letters picked without replacement from {p: 1, m: 1, l: 1}. What is prob of picking 1 p and 1 l? 1/3 Calculate prob of picking 3 k and 1 e when four letters picked without replacement from {e: 3, h: 1, p: 2, k: 13}. 143/646 Calculate prob of picking 2 w when two letters picked without replacement from ggggggggwwgggggw. 1/40 Two letters picked without replacement from ppppmppppxupx. What is prob of picking 1 m and 1 p? 3/26 What is prob of picking 2 w and 2 i when four letters picked without replacement from wiwwdwiwwwwiwwiii? 135/476 Two letters picked without replacement from {m: 2, z: 4, v: 1, u: 3, n: 6}. Give prob of picking 1 z and 1 v. 1/30 What is prob of picking 1 w, 1 c, and 2 z when four letters picked without replacement from {z: 2, m: 4, c: 3, w: 2}? 1/55 Four letters picked without replacement from {l: 4, g: 1, i: 3, a: 4, y: 7}. Give prob of picking 1 g, 1 a, 1 i, and 1 l. 4/323 Two letters picked without replacement from llllvlll. What is prob of picking 1 v and 1 l? 1/4 Calculate prob of picking 2 i when two letters picked without replacement from ciicci. 1/5 Four letters picked without replacement from lllllggl. Give prob of picking 2 g and 2 l. 3/14 Four letters picked without replacement from aaatta. What is prob of picking 2 a and 2 t? 2/5 Two letters picked without replacement from {v: 1, a: 1, t: 1, e: 3, j: 5, k: 2}. Give prob of picking 2 j. 5/39 Two letters picked without replacement from {h: 4, t: 3, l: 7, o: 1, f: 2, m: 1}. Give prob of picking 1 f and 1 h. 8/153 Two letters picked without replacement from {l: 2, t: 4, g: 3, p: 2, u: 1}. What is prob of picking 1 u and 1 l? 1/33 What is prob of picking 1 e and 1 u when two letters picked without replacement from kuuysec? 2/21 Calculate prob of picking 2 o when two letters picked without replacement from oooookokoooooookkk. 26/51 Three letters picked without replacement from {y: 13, x: 3}. Give prob of picking 3 x. 1/560 Three letters picked without replacement from {m: 8, c: 11, d: 1}. Give prob of picking 1 c and 2 m. 77/285 Four letters picked without replacement from {f: 10, g: 10}. Give prob of picking 2 g and 2 f. 135/323 Three letters picked without replacement from {l: 1, e: 2, j: 2}. Give prob of picking 1 l and 2 j. 1/10 What is prob of picking 1 p and 1 y when two letters picked without replacement from {o: 5, z: 1, p: 3, y: 3}? 3/22 Four letters picked without replacement from znzpznnnzzznnzznnzz. What is prob of picking 4 z? 35/646 Four letters picked without replacement from jjnjnnnjjjjjjjgjnnj. What is prob of picking 4 n? 5/1292 Calculate prob of picking 4 s when four letters picked without replacement from {s: 5, m: 1, d: 14}. 1/969 Three letters picked without replacement from {q: 4, l: 2, u: 1, e: 1, n: 1, f: 6}. Give prob of picking 1 n, 1 q, and 1 u. 4/455 Calculate prob of picking 1 a, 1 p, 1 x, and 1 m when four letters picked without replacement from {m: 1, p: 2, a: 1, x: 4}. 4/35 Two letters picked without replacement from {z: 3, u: 2, v: 5}. What is prob of picking 1 u and 1 v? 2/9 What is prob of picking 1 h and 2 l when three letters picked without replacement from {b: 3, h: 9, x: 1, e: 4, l: 2}? 3/323 Three letters picked without replacement from {t: 3, q: 1, d: 1, r: 5}. What is prob of picking 1 q, 1 d, and 1 t? 1/40 Two letters picked without replacement from dggg. Give prob of picking 2 g. 1/2 Four letters picked without replacement from ecswtdcsstwss. What is prob of picking 1 e, 1 t, and 2 w? 2/715 Calculate prob of picking 2 o and 1 m when three letters picked without replacement from {a: 2, o: 8, m: 2}. 14/55 What is prob of picking 1 h and 1 e when two letters picked without replacement from hhgueggghgggguh? 4/105 Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {o: 7, b: 1}. 1/4 Four letters picked without replacement from {t: 2, v: 1, h: 2}. Give prob of picking 1 t, 2 h, and 1 v. 2/5 What is prob of picking 1 j and 1 b when two letters picked without replacement from {o: 1, w: 1, j: 2, b: 1}? 1/5 Three letters picked without replacement from kbufb. Give prob of picking 2 b and 1 u. 1/10 Two letters picked without replacement from {a: 4, w: 3, m: 5}. Give prob of picking 1 a and 1 m. 10/33 What is prob of picking 1 t and 1 l when two letters picked without replacement from ljtnnww? 1/21 What is prob of picking 1 d and 1 q when two letters picked without replacement from dbzjyqqdz? 1/9 What is prob of picking 1 j and 2 x when three letters picked without replacement from {j: 2, x: 3}? 3/5 What is prob of picking 3 a and 1 s when four letters picked without replacement from aagssssgaaass? 12/143 What is prob of picking 1 u and 1 m when two letters picked without replacement from {m: 8, t: 1, u: 10}? 80/171 What is prob of picking 1 q and 1 n when two letters picked without replacement from snssnqnsff? 1/15 Four letters picked without replacement from bbbccdcbcbccbbbbbb. Give prob of picking 4 c. 1/204 Calculate prob of picking 2 q when two letters picked without replacement from {b: 12, q: 6}. 5/51 Calculate prob of picking 3 g when three letters picked without replacement from uuugggggtuugtuuuuu. 5/204 Calculate prob of picking 2 u and 2 t when four letters picked without replacement from uuuudutddddttut. 6/91 Two letters picked without replacement from sccxxsxssx. What is prob of picking 2 x? 2/15 Four letters picked without replacement from ffqgkqbqsffgfggkfbsq. Give prob of picking 1 b, 2 s, and 1 q. 8/4845 What is prob of picking 3 c when three letters picked without replacement from {c: 3, l: 7, j: 3, q: 2, n: 4}? 1/969 What is prob of picking 3 l when three letters picked without replacement from {v: 2, l: 3, e: 3}? 1/56 Two letters picked without replacement from {n: 1, l: 2, u: 1}. Give prob of picking 1 u and 1 n. 1/6 Two letters picked without replacement from cacvqiaq. Give prob of picking 2 c. 1/28 Calculate prob of picking 1 b and 1 y when two letters picked without replacement from jsjjbgjjbrybb. 2/39 What is prob of picking 1 g and 3 i when four letters picked without replacement from iiiiiiiiiiiiiigiiiig? 32/95 Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, q: 1, e: 12}. 1/40 Two letters picked without replacement from {x: 4, z: 2}. Give prob of picking 1 z and 1 x. 8/15 Three letters picked without replacement from sssssscccssssscscsss. Give prob of picking 2 c and 1 s. 5/38 Three letters picked without replacement from {l: 4, b: 4, c: 12}. Give prob of picking 1 c and 2 l. 6/95 Two letters picked without replacement from {o: 1, e: 2, z: 1, j: 1, h: 5, y: 3}. Give prob of picking 2 h. 5/39 Three letters picked without replacement from xxxvggvgxjxxwwjjfwg. Give prob of picking 2 j and 1 x. 6/323 Calculate prob of picking 2 h and 2 q when four letters picked without replacement from oqhqoohoyll
{ "pile_set_name": "DM Mathematics" }
a**(1/7) Simplify s/(s*s**8*s)*s**(-1/7)*s**(1/8)*s*s**15 assuming s is positive. s**(391/56) Simplify (j/j**(-4)*j)**(-25/6)/(j/(j**1/j))**(-36) assuming j is positive. j**11 Simplify (p**(-1/3))**(3/38)/((p/(p*p/(p*p/p**(-3))))/p)**(-4/9) assuming p is positive. p**(149/114) Simplify ((a*a**(-3)*a)/a)**28/(a**(2/5)*a)**(-12/17) assuming a is positive. a**(-4676/85) Simplify (a/(a*a**(-1/4)))**26/(a*a**(-1/8))**(-24) assuming a is positive. a**(55/2) Simplify (w*(w*w/(w/(w*w**(1/10)/w)*w*w)*w)/w)**(-5/14)/(w/(w*w/w**(-6/5)))**2 assuming w is positive. w**(611/140) Simplify ((d*d**6*d)/(d*d**4*d))/(d*d**(-1))**(2/25) assuming d is positive. d**2 Simplify (m**(10/7)*m**(1/2))/(m**16*m**(-1/17)) assuming m is positive. m**(-3335/238) Simplify (((s/(s/(s**(-3/8)*s)))/s**12)**(-9/7))**(18/11) assuming s is positive. s**(1053/44) Simplify (b**1*b)**(-6/7)*b**(-2/11)/(b**(7/5)*b) assuming b is positive. b**(-1654/385) Simplify (i**0/i)**(1/36)*i**(-1/19)*(i**(-6)*i)/i assuming i is positive. i**(-4159/684) Simplify (f*f/f**19*f**(-3/2)/f)**(2/51) assuming f is positive. f**(-13/17) Simplify ((g/(((g/(((g*g**(-1/7)*g)/g*g)/g))/g)/g))/g**(-4/7))/(g**(-3)/g)**(-3/7) assuming g is positive. g**(12/7) Simplify (t**(-2/13))**15/(t**(4/11)*t/t**0) assuming t is positive. t**(-525/143) Simplify (g**28*g*g**26)/(g*g**15*g**(4/3)) assuming g is positive. g**(113/3) Simplify b**(-2/37)/(b/(b**19/b))*b/b**(9/2)*b**25 assuming b is positive. b**(2845/74) Simplify (t/(((t**(-7/3)*t*t)/t)/t))**(-2/13)*t/(t*t**(10/9))*t**(10/9) assuming t is positive. t**(-20/39) Simplify (k*k/(k/(k/((k/k**(-1/3)*k)/k*k))*k))**20/(k**6/(k*k/(k/(k*k**(-10))))) assuming k is positive. k**(-122/3) Simplify (g*g*g**(1/2)*g)**(2/5)/(g**11*g*g/g**(-4/5)) assuming g is positive. g**(-62/5) Simplify ((p/((p/(p**(-2/19)*p))/p))/p**(-2/43))**(-48) assuming p is positive. p**(-76128/817) Simplify (n/(n**2*n))**(-1/2)*n**9*n**(-1/6)/n assuming n is positive. n**(53/6) Simplify ((q/q**5*q*q**(-10))**(-4))**32 assuming q is positive. q**1664 Simplify (m**(1/3)*m/m**(-1/48))/(m**(-4/13)*m/(m/(m/m**(-8))*m)) assuming m is positive. m**(-3955/624) Simplify (h**8*h*h**(-12))/((h**7*h)/(h/(h**(1/8)*h*h))) assuming h is positive. h**(-97/8) Simplify (j*j/(j**4*j)*j)**(-27)*(j*j/(j*j/j**(2/7))*j)/(j**(-4)/j*j) assuming j is positive. j**(415/7) Simplify b**(-5/3)*(b/(b/b**(-4)))/b*(b/((b*((b/b**7)/b)/b)/b*b))/(b/(b*b*b*b/(b/b**16)*b)) assuming b is positive. b**(61/3) Simplify (((j/(j**31*j))/(j**10*j))**(5/9))**(-2/11) assuming j is positive. j**(140/33) Simplify (y*y**(-4/11)/y)**42/(y**(3/8)/(y*y*y*y*y/(y*(y/(y*y*y**(3/13)/y*y*y))/y))) assuming y is positive. y**(-9629/1144) Simplify (o**4/o*o**(-1/8))/(o*o**(-2/49)*o*o/(o/o**(2/3))) assuming o is positive. o**(293/1176) Simplify (s**(2/27)/(s/((s**(-3)/s)/s)*s))/((s/(((s/(s/s**(-2/9)))/s)/s))/(s/s**(2/7)*s)) assuming s is positive. s**(-1594/189) Simplify ((k/(k*k**(-1))*k)/k*k)**(-3/34)*k**(-8)*k*k/(k*k**(-5))*k*k assuming k is positive. k**(-3/17) Simplify ((n**(-1/4)*n*n**(-7/3))/((n*n**3*n)/n*n)**25)**(-20/3) assuming n is positive. n**(7595/9) Simplify (s**(-17/3)/s)/s**0*((s*s*s**(-9)/s)/s)/s*s/(s/s**(4/11))*s assuming s is positive. s**(-505/33) Simplify ((t*(t*t**(2/25))/t)**(-43))**(-3/20) assuming t is positive. t**(3483/500) Simplify (n/n**4*n*n*n/n**(-6)*(n*n**(5/4)/n)/((n/n**(1/6)*n)/n))**(-9/10) assuming n is positive. n**(-231/40) Simplify ((n/(n**(2/15)*n))/n)**(-2/37)*((n**17/n)/n)/(n**6*n) assuming n is positive. n**(4474/555) Simplify (t/(t/t**(-1/4))*t*t**4)/((t*t**(-14))/t*t/((t**(-2/9)*t)/t*t)*t*t*t) assuming t is positive. t**(559/36) Simplify ((d**(2/5))**(1/3)*(d**(-1))**14)**(6/17) assuming d is positive. d**(-416/85) Simplify ((r/(r**(2/3)/r))/(r/((((r*r**(2/5)/r)/r)/r)/r)))/((r*r*r**6)/(r/r**(2/7)*r)) assuming r is positive. r**(-898/105) Simplify x**(-1/5)/x*x/(x*x*x**(-7))*(x/(x**5/x*x*x))**(-3/8) assuming x is positive. x**(267/40) Simplify (q/q**(-2/5)*q)**2*q**(-5/3)*q*q*q*q/(q*q*q/q**(-5/3)) assuming q is positive. q**(37/15) Simplify ((((y/y**7*y)/y*y)/y)/(y/((y*y/y**(9/5))/y)*y)*(y**(-1))**(-1/9))**(-2/67) assuming y is positive. y**(782/3015) Simplify (p*p**3/p)**(-3/35)/(p**(1/17)/p**(1/2)) assuming p is positive. p**(219/1190) Simplify (u**28/u*u*u**31)**(-35) assuming u is positive. u**(-2065) Simplify (k*k**(1/3)*k)**(-13/4)*((k*k/k**(1/3))/k*k)**(2/139) assuming k is positive. k**(-4203/556) Simplify (v**(-3))**(-38)/(v**(-7)*(v/(v*v**(-1)))/v) assuming v is positive. v**121 Simplify ((o**3/o**3)/(o*(o/(o*(o/(o**(-3)*o*o*o))/o*o)*o*o)/o*o*o*o*o*(o*o/o**(2/3))/o))**(-1/7) assuming o is positive. o**(16/21) Simplify l**(5/4)/(l/l**(-33))*l/(((l/(l**(-1/7)*l))/l)/l*l)*l**(20/9) assuming l is positive. l**(-7225/252) Simplify ((r**(-15/8))**(-48))**(-25) assuming r is positive. r**(-2250) Simplify ((b**(4/11)*b**(-1))**(23/3))**1 assuming b is positive. b**(-161/33) Simplify (((f**(-5)/f*f)/(f**3*f))/((f*f**(-1/7)/f*f*f)/f**(-5/3)))**(-35) assuming f is positive. f**(1315/3) Simplify (l/(l/l**(-13))*l/l**(-12))/(l**(-2/23)/l*((((l*((l/l**(1/2))/l)/l)/l)/l*l)/l)/l*l) assuming l is positive. l**(165/46) Simplify ((c/(c*c**5*c*c))/(c**(-1/2)/c))/(c**(-3/10)/c**(-1/30)) assuming c is positive. c**(-157/30) Simplify (o**(-14)*o*o)**(-1/20)*o**(-2/13)/(o*(o*o/(o*o**(2/15)*o)*o)/o) assuming o is positive. o**(-82/195) Simplify ((t*t**(-2/3)*t)/t**(1/3)*t**(5/6)*t**(-2/19))**(1/6) assuming t is positive. t**(197/684) Simplify ((z**(1/2)/z**(-5))**26)**(-3/23) assuming z is positive. z**(-429/23) Simplify f/f**(-3)*f**0/f*f*f*(f**4/f*f)/(f*f/f**(-4)) assuming f is positive. f**3 Simplify (((b/(b*b/(b/(b*b/b**(-1/7)*b))))/(b**1/b*b*b*b))**(-36))**4 assuming b is positive. b**(6192/7) Simplify (j**(2/5)/j)/j**9*j/j**(9/2)*j*(j/(j/(j**(-12)*j)*j))/j*j assuming j is positive. j**(-241/10) Simplify (z/(z*(z/(z/z**(-8/3)))/z))**34/(z*z*z**(1/10))**(-1/32) assuming z is positive. z**(119743/960) Simplify ((b**2*b*b)**(-46)*(b*b*(b/b**2)/b)**(31/2))**(-11/3) assuming b is positive. b**(2024/3) Simplify ((m*((m*m**20*m)/m)/m)/m**17)/((m/(m**(-6/5)*m)*m)/m*m**(-9)) assuming m is positive. m**(59/5) Simplify (((s**10/s*s)/s)/(s/s**(-12)))/(s**(-4)/((s/(s*(s*(s/s**(2/7)*s)/s)/s))/s)) assuming s is positive. s**(-12/7) Simplify (((k/k**(2/11))/(k*k*((k*k**(-3/5)*k)/k)/k))/((k*k**1)/(k**(-7)*k)))**(-19) assuming k is positive. k**(8968/55) Simplify ((q**(1/3)*q*(q/(q**(-1/2)/q*q*q))/q*q)**(8/3))**(-13) assuming q is positive. q**(-572/9) Simplify (((d**(-3/8)/d*d)/(d**(-9)*d))/(d**(-1/2))**(-47))**(-23) assuming d is positive. d**(2921/8) Simplify (d**(5/3)/(d**(-5)/d)*(d/d**1)**33)**11 assuming d is positive. d**(253/3) Simplify ((s*s/s**(-8/7)*s*s*s*((s**(-1/8)*s)/s)/s)**(-5/12))**(-10) assuming s is positive. s**(7025/336) Simplify ((l/(l/l**3))**(1/37))**(-4) assuming l is positive. l**(-12/37) Simplify ((b**0*b)/(b*b**12))/(b**(-1/14)/((b*(b/((b**(-5/3)*b)/b))/b)/b)) assuming b is positive. b**(-431/42) Simplify (j**(9/7)*j/(j**7*j)*j)/(j**11)**2 assuming j is positive. j**(-187/7) Simplify (p*p*p**(-4/3))/(p/(p**(-1/4)/p))*(p**(-17)/p)/((p*p/(p**(-1/15)/p))/p) assuming p is positive. p**(-433/20) Simplify (((d**0/d)**19)**(-38))**(-49) assuming d is positive. d**(-35378) Simplify ((o**(2/7))**(2/21)*(o/(o**1/o))**(3/28))**(-1/39) assuming o is positive. o**(-79/22932) Simplify ((t**(2/19)/t**(2/27))/((t*t/(t**(-6/7)/t)*t*t)/((t/t**(-8))/t)))**(-3/8) assuming t is positive. t**(-7807/9576) Simplify ((b**3)**(-29)*(b**(-3))**45)**(-9) assuming b is positive. b**1998 Simplify (h**(-1/24)*h**30)/(h*h*(h/(h*h/(h**(2/15)/h)))/h*h*h/h**27) assuming h is positive. h**(2233/40) Simplify (d*d**14)**(-21/2)*d**14*d*d**(-5/3) assuming d is positive. d**(-865/6) Simplify (v**(2/5)/(v**(-5/6)/v))/(v**(5/3)/((v/(v/((v/(v**6*v))/v)))/v)) assuming v is positive. v**(-223/30) Simplify (((v*v*v**(-6/13)/v*v*v*v*v)/v*v/((v/(v/(v/(v*v*v**(-3/4)))))/v)*v)**(-48))**(-10/3) assuming v is positive. v**(14120/13) Simplify (j**(2/7)/j**(-2/7))/(j**(2/7)*j/j**(-2/19)) assuming j is positive. j**(-109/133) Simplify (((i/i**(-1/2))/i)/(i**0*i)*i**(1/3)/i*i**(-9))**(1/13) assuming i is positive. i**(-61/78) Simplify (((m/((m/(m*(m**(1/3)/m)/m))/m))/m**(
{ "pile_set_name": "DM Mathematics" }
2400*q**4 + 1280*q**2 + 4 Let k(d) = 5*d. Let r(p) be the second derivative of p**6/720 + p**4/12 - 3*p. Let a(x) be the third derivative of r(x). Calculate a(k(v)). 5*v Let u(s) = 21*s. Let r(k) = 3*k. Let m(w) = -27*r(w) + 4*u(w). Let a(j) = 4*j. Give a(m(v)). 12*v Let i(x) = -65*x**2. Let r(w) = 15*w**2. What is i(r(d))? -14625*d**4 Let j(r) = 3*r. Let w(h) = -h**2 - 4*h + 4. Suppose 2 + 0 = -2*k. Let t(y) = y - 1. Let n(o) = k*w(o) - 4*t(o). Calculate n(j(p)). 9*p**2 Let h(r) = -2*r. Let g(b) = -800 + 9*b**2 + 800. Calculate g(h(p)). 36*p**2 Let i(v) = v**2. Let k be 3/3 - 3*-1. Suppose -2*y = -k*y. Let w(r) = y*r - r - r. Give i(w(n)). 4*n**2 Let r(z) = 2*z**2 - 1 - 2 + 3. Let c be 1 + 1/((-3)/(-6)). Let f(v) = -2*v**2 - c*v**2 + 4*v**2. What is r(f(d))? 2*d**4 Let w(m) = 10*m. Let o(k) = 29*k**2. Calculate o(w(s)). 2900*s**2 Let z(a) = -4*a**2. Let r(s) = s**2 - 2. Let y(q) = -3. Let b(n) = 3*r(n) - 2*y(n). What is b(z(m))? 48*m**4 Let s(h) = -11*h. Let n(d) be the third derivative of -d**7/2520 + d**5/20 - 5*d**2. Let o(w) be the third derivative of n(w). Determine s(o(m)). 22*m Let d(q) = -4*q**2 + 3*q. Let v(z) = 2*z**2. What is d(v(h))? -16*h**4 + 6*h**2 Suppose 0 = -3*z - 0*z + 6. Suppose 0 = -3*v + 2*m + 2 + 9, 2 = z*v + 4*m. Let j(i) = -2*i + 6*i - v*i. Let c(t) = t. Calculate c(j(q)). q Let d(v) = 10*v. Let r(l) = 114*l. Determine d(r(j)). 1140*j Let z(q) = 4*q**2. Let i(y) be the third derivative of 3*y**5/20 + 3*y**2. Give i(z(w)). 144*w**4 Let v(j) = -2*j**2 + 0*j**2 - 1064 + 1064 - 4*j. Let c(w) = 2*w. Determine v(c(y)). -8*y**2 - 8*y Let m(f) = 3*f**2. Let d(l) = -2*l + 7*l - 4*l - 3*l. Determine d(m(n)). -6*n**2 Let g(l) = 4*l. Let f(j) = j + 1. Let w(b) = -b + 1. Let q(h) = 4*f(h) - 4*w(h). Determine g(q(m)). 32*m Let m(j) = 4*j. Let u(d) be the first derivative of -7*d**2/2 + 18. Calculate m(u(a)). -28*a Let p be (4/(-6))/(4/(-12)). Let b(j) = 3*j**2 - p*j**2 + 2*j**2. Let n(f) = f**2. What is b(n(v))? 3*v**4 Suppose -2*a + 6 = 2. Let i(y) = -y**2 + 0*y**a - y**2. Let t(s) = -4*s + 2*s - 2 + 2. Determine i(t(h)). -8*h**2 Let o(i) = -1706*i. Let p(k) = -6*k**2. Determine p(o(m)). -17462616*m**2 Let w(m) = -m**2. Let z(h) = -3*h - 2. Let v(s) = 14*s + 5. Let r(b) = -7*b - 2. Let f(q) = 5*r(q) + 3*v(q). Let o(c) = 2*f(c) + 5*z(c). Calculate w(o(d)). -d**2 Let o(t) = 68*t. Let r(b) = 19*b**2. Calculate o(r(q)). 1292*q**2 Let z(j) = 563*j**2. Let c(s) = -s**2. Calculate z(c(o)). 563*o**4 Let s be ((-22)/33)/((-2)/12). Let w(f) = -6*f + f + s*f + 0*f. Let i(k) = -6*k. What is i(w(z))? 6*z Let u(a) be the first derivative of a**5/60 + a**3/3 - 2. Let b(j) be the third derivative of u(j). Let p(g) = 2*g**2. Calculate b(p(d)). 4*d**2 Let j(k) = -56*k. Let m(w) = -29*w**2 - 2. Calculate j(m(d)). 1624*d**2 + 112 Suppose v - 6 = -2. Let k(q) = -v*q + 0*q + 2*q. Let n(m) = 6*m. What is n(k(s))? -12*s Let s(a) = a**2. Let m(k) be the first derivative of k**4/12 - 2*k + 1. Let b(t) be the first derivative of m(t). Determine b(s(u)). u**4 Let o(n) = -47*n + 1. Let x(c) = 60*c. Give o(x(j)). -2820*j + 1 Let g(w) = -2*w. Let u(n) = -6*n - 1 - 13*n - 9*n. Give u(g(s)). 56*s - 1 Let j(c) be the third derivative of c**4/12 + 7*c**2. Let x(u) = -5*u. What is j(x(h))? -10*h Let o(i) = i**2 - i - 1. Let j(b) = 3*b**2 - 6*b - 6. Let p(c) = j(c) - 6*o(c). Let z(t) be the third derivative of -t**5/20 + 2*t**2. What is z(p(u))? -27*u**4 Let v(m) = -8*m**2. Let b(h) = 7*h**2. Calculate v(b(k)). -392*k**4 Let j(h) = -h**2. Let w(q) be the third derivative of -11*q**4/24 - 10*q**2. Give w(j(b)). 11*b**2 Let a(h) = -15*h + 2. Let p(x) = -9*x. Determine p(a(n)). 135*n - 18 Let w(o) = -2*o**2. Let d(q) = 5 + 4*q + 5*q - 2*q. Let c(p) be the first derivative of -3*p**2/2 - 2*p - 2. Let x(h) = -15*c(h) - 6*d(h). Give w(x(y)). -18*y**2 Let o(v) = -9*v. Let b(j) = -j. Let m(i) = -5*b(i) + o(i). Let t(w) = -7*w. Let u(n) = 5*m(n) - 3*t(n). Let c(x) = 9*x. What is c(u(d))? 9*d Let r(h) = -h. Let w(i) = 276*i - 25. Calculate r(w(a)). -276*a + 25 Let p(l) = 8*l + 4. Let w(x) = -7*x - 3. Let u(t) = -3*p(t) - 4*w(t). Let n(k) = -4*k. What is n(u(c))? -16*c Let r(n) = -431*n. Let a(b) = 7*b**2. What is r(a(i))? -3017*i**2 Let u(v) = 0*v**2 + 0*v**2 + 4*v**2 - 2*v**2. Let y(h) = -8*h. What is y(u(q))? -16*q**2 Let h(z) = -86*z**2. Let v(c) = -16*c**2. Give v(h(k)). -118336*k**4 Let c(i) = -i**2 - 5*i + 2. Let t be c(-5). Let m(a) = -t*a - a + a + 0*a. Let v(j) = 2*j + j + 0*j. What is m(v(n))? -6*n Let o(c) be the first derivative of 2*c**3/3 - 30. Let q(g) be the third derivative of g**4/6 + g**2. Determine o(q(l)). 32*l**2 Let y(o) = -5*o. Let d(i) be the third derivative of -5*i**4/24 + 33*i**2. Calculate d(y(w)). 25*w Let j(v) be the first derivative of -v**3/3 - 9. Let p(m) be the second derivative of 0*m**3 + 0 - 2*m + 1/12*m**4 + 0*m**2. What is p(j(z))? z**4 Let z(g) = -g. Let u(i) be the third derivative of i**8/2240 + i**5/15 - i**2. Let b(w) be the third derivative of u(w). Calculate b(z(d)). 9*d**2 Let c(j) = -j. Let y(u) = -89*u. What is y(c(h))? 89*h Let v(f) = -2*f. Let a be (-7 - -15)/(1*2). Suppose -3*o + 6*o - 3 = 0, a*o - 7 = -i. Let p(g) = -2*g + g + i*g. Give v(p(x)). -4*x Let t(b) be the first derivative of -b**2 - 24. Let m(c) = -12*c. Give m(t(q)). 24*q Let o(v) = 2*v - 4. Let p(z) = z - 1. Let b(k) = o(k) - 4*p(k). Let x(a) = 6*a**2. Determine x(b(h)). 24*h**2 Let y(u) = -4*u**2 + 58. Let o(r) = -6*r. Determine o(y(c)). 24*c**2 - 348 Let a(k) = -k**2 + 0*k**2 + 4*k**2. Let s(m) = m + 1. Let g(j) = -j - 2. Let y(h) = -2*g(h) - 4*s(h). What is a(y(w))? 12*w**2 Let b(u) = 3*u + 0*u - u. Let w be ((-3)/(-3) - 2) + 3. Let l(n) = 14*n**w + 5 - 5 - 15*n**2. What is l(b(a))? -4*a**2 Let n(j) = -1. Let h(o) = -2*o**2 + 4. Let k(s) = h(s) + 4*n(s). Let w(i) = 40*i**2. Give k(w(z)). -3200*z**4 Let m(y) = 44*y**2 + 32*y. Suppose -3*k - 128 = k. Let i(z) = -3*z**2 + 0*z - z - 2*z - z**2. Let f(v) = k*i(v) - 3*m(v). Let x(g) = g. Determine x(f(u)). -4*u**2 Let b(n) = -n**2 + 2*n + 1. Let f(c) = -8*c**2 + 10*c + 5. Let r(m) = 5*b(m) - f(m). Let g(a) = 6*a**2 - a. What is g(r(k))? 54*k**4 - 3*k**2 Let y(v) = -6*v. Let k(w) = -w**2 + w. Let o(d) = 9*d**2 - 11*d. Let a(z) = 22*k(z) + 2*o(z). Calculate y(a(j)). 24*j**2 Let j(l) = l. Let b(c) = 16*c**2 + 3. Let t(x) = -x**2 + 1. Let y(n) = -b(n) + 3*t(n). Give y(j(q)). -19*q**2 Let k(d) = -16*d. Let u(x) = 8*x. Let z(n) = -6*k(n) - 11*u(n). Let l(i) = 2*i**2 - 7. Let s(r) = -r**2 + 3. Let t(p) = 6*l(p) + 14*s(p). Calculate z(t(w)). -16*w**2 Let b(j) = -7*j. Let g(i) be the first derivative of 2*i**3/3 - 7. Calculate g(b(l)). 98*l**2 Let b(m) = 143*m - 4. Let l(n) = -2*n. What is b(l(x))? -286*x - 4 Let x(s) = 0 - 2 + 3*s - 3 - 5*s. Let f(d) = 3*d + 8. Let l(c) = -5*f(c) - 8*x(c). Let r(b) = b. Give r(l(w)). w Let i(r) = 6*r**2 + 2*r**2 - 3*r**2 - 2*r**2. Let p(u) = -3*u**2. Let d(f) = 6*f**2. Let c(w) = -2*d(w) - 5*p(w). Give c(i(h)). 27*h**4 Let w(j) = -3. Let z(m) = m - 1. Let p(l) = 2*w(l) - 6*z(l). Let q(y) = 9*y**2 - 5*y. Let v(c) = 14*c**2 - 8*c. Let d(t) = -8*q(t) + 5*v(t). Give p(d(f)). 12*f**2 Let q(m) = -514*m**2. Let s(w) = w. Give q(s(b)). -514*b**2 Let i(f) = f**2 + 3*f**2 - 6*f**2. Let r(h) = h. Let l(s) = -s. Let z(n) = -l(n) - 3*r(n). Calculate i(z(w)). -8*w**2 Let l(r) = -r**2 + 5*r**2 - 3*r**2. Let x(h) = 17*h. Let g(y) = 3*y - 2*y + 4*y - y. Let t(n) = 26*g(n) - 6*x(n). Calculate l(t(p)). 4*p**2 Let q be (10/8)/5*4. Let o be q/(3*(-1)/(-6)). Let j(x) = o*x**2 - 2*x**2 - 3*x**2. Let t(d) = -d**2. Calculate j(t(y)). -3*y**4 Let f(g) be the second derivative of g**3/6 - 3*g. Let p(n) = -3*n + 6*n - 2*n + 0*n. What is p(f(d))? d Let r(v) = -2*v. Let h(p) = p + 0*p - 3*p - p - 3 - 5*p**2. Let y(d) = -10*d**2 - 7*d - 7. Let x(l) = 7*h(l) - 3*y(l). Determine x(r(w)). -20*w**2 Let w(q) = 3*q. Let c(v) = 5*v**2. Calculate w(c(g)). 15*g**2 Let s(p) be the second derivative of p**3/6 - 2*p. Let z(f) = f**2. Let w(l) = l**2. Let o(m) = -5*w(m) + 3*z(m). Determine o(s(k)). -2*k**2 Let g(n) = n**2 + 7*n + 8. Let y be g(-6). Let v(s) = -2*s + s - s - y*s. Let j(c) = -c**2. Determine j(v(w)). -16*w**2 Let p(r) = -2*r. Let v(h) = -h + 276. Calculate p(v(j)). 2*j - 552 Let g(x) = 3*x. Let j(y) = 1789*y. Ca
{ "pile_set_name": "DM Mathematics" }
((p*p**(-2/7))**(2/19))**49*(p**(-1))**(-2/21)/(p**1)**(-48) assuming p is positive. p**(20660/399) Simplify ((s**(-4)*s)/s**(1/3))**14/((s**(-2/21)/s**(-1))/((s*s/(s*s/(s/s**(-8/5)*s*s*s))*s*s*s)/(s/s**(-1)))) assuming s is positive. s**(-1434/35) Simplify t*(t*t*(t*t**1/t)/t)/t*t/(t/((t**3/t)/t))*(t**(1/6)/t)/(t**(1/6)*t)*(t*t/(t**7*t))/(t/t**(-1))*(t**0)**42 assuming t is positive. t**(-7) Simplify (g**(-1))**(-2/45)/(((g*(g/g**0)/g*g)/g*g)/g*g*g)**42*(g**(3/5)/g*g**(5/4))/(g**(2/5)/(g/g**1*g)) assuming g is positive. g**(-22411/180) Simplify ((k**(1/4)/k*k)**(-48)*k**(-3/7)/k*k**(1/2)/k)/((k**(-2/5))**(-2))**(-38) assuming k is positive. k**(1153/70) Simplify ((h**(-2/5))**(-35/6))**13*(h*(h/h**(-2/15))/h*h**3)/((h/h**(-1))/h)**13 assuming h is positive. h**(322/15) Simplify (((v/(v*v*v**(5/4)*v))/v**(-2))/(v/(v/((v/(v*v**(-5)*v))/v)))**(-3/8))**(2/99) assuming v is positive. v**(-1/396) Simplify ((w**(-38)/w**(1/26))/(w**(2/51)*w*(w*(w*w**(-2)*w)/w)/w*w*w*w))**39 assuming w is positive. w**(-54469/34) Simplify ((s**(-28)/s**38)**(-1/17))**(-26) assuming s is positive. s**(-1716/17) Simplify (i**(-3)/(i**(-2)*i)*(i**0/i)**(-30))/((i**(-5)/i)/(i/((i/(i/i**(6/11)))/i))*(i**1)**(2/37)) assuming i is positive. i**(14408/407) Simplify ((u**(2/47)*u**(2/37))/(u**19)**(-17/7))**(-50) assuming u is positive. u**(-28143650/12173) Simplify ((n**0*n)/n**(2/11))/(n**(-7)/n**(2/5))*(((n**5*n)/n)/n)/((n/n**(-1/3))/n)*n**(-4)/n*(n/n**4)/n assuming n is positive. n**(476/165) Simplify (d**(1/4)/(d/(d**(-2/3)/d)))**(-20)*((d/d**(-2/7))/d**3)/(d**(-2/9)*d*d**6) assuming d is positive. d**(2510/63) Simplify (y**(2/39)*y**(-2/67))/((y*y**1*y)/y*y**(13/4)*y*y) assuming y is positive. y**(-75553/10452) Simplify (o**(-5)*o/(o/((o/(o*o**(-1)))/o)))/(o/o**6*(o*(o*o*o**(2/17))/o)/o*o)*(o/(o*o**(-2/3))*o)/o*o**(1/15)/o*o**6/o*o/o**(-8) assuming o is positive. o**(2962/255) Simplify (s*s*s**(8/5)*s*s**10)**(-8/7)*s**(2/17)*s**7*(s/s**(-1/2))/(s*s**(-1)) assuming s is positive. s**(-9601/1190) Simplify ((t**(8/9)/(((t/(t/(t/(t**20*t))))/t)/t))/(t*t/(t*t**(-4/7)*t*t)*t*t**30))**(-16) assuming t is positive. t**(7744/63) Simplify q**(-2/13)/q**7*(q**(-1/2))**7*((q*q**(1/12)*q)/q**(-3))/((q**(-2/9)/q)/(q**(-1)/q)) assuming q is positive. q**(-2971/468) Simplify ((r*r**1*r**6/r*r)/(r**(-2))**42)/((r/(r**(-2/5)*r))**(-3)/(r**(5/6)/r**(-1/15))) assuming r is positive. r**(941/10) Simplify (((u/u**(-2/7))/(u**(-18/5)*u*u))/(u*u**(-11)*u*u/(u/u**(-23))))**38 assuming u is positive. u**(46398/35) Simplify (((c**3/c)/c)/(c**(-3/7)*c))**(-20)*((c/c**(-4/9))/(c*c/c**(-6)))**(-14) assuming c is positive. c**(5242/63) Simplify n*n**(-4)*n**(2/11)*n/(n**(-1/3)/n)*n/n**7*(n**(-1)/n)**(-37)/((n/(n**(-1/4)/n)*n)/(n**(-5)*n)) assuming n is positive. n**(7955/132) Simplify (a**(-3/5)/a**(-2/11))**28*(a/a**(-9/5)*a*((a**(-6)/a)/a)/a)**(-12) assuming a is positive. a**(2788/55) Simplify (((r*r**1)/r)**41/(r/(r*r**1))**(-9))/((r*r**0)**(5/7)/((r/r**(-5/3))/r*r*r**7/r)) assuming r is positive. r**(839/21) Simplify (i**(-4)*i*i**1)**(-18)*(i*i**(1/5)*i/i**5)/((i**2/i*i*i)/(i/(i/(i*i*i*i**(1/3)*i)))) assuming i is positive. i**(518/15) Simplify (d**4/d*d/(d*d**(2/15)))/((d/(d**(-1/4)/d)*d)/d*d)**(5/12)*(d**3/(d/(d**(-3)/d*d*d)))/(d**(3/5)*d**(2/5)) assuming d is positive. d**(41/80) Simplify ((x**0/x)**(15/2))**(-20)*(((x*x/x**(-2/5)*x)/x)/x*((x*x/(x*x**(-3))*x*x)/x)/x*x)/((x/x**(2/7))/x**(-2/5)) assuming x is positive. x**(1087/7) Simplify (((i**(-16)*i)/i)/i**4*i**(-3/7)/(i*i**(-17)))**(7/10) assuming i is positive. i**(-31/10) Simplify (l/l**1*l**(-1/6)/l*l**(2/3)*l**(5/6))/((l**(2/5))**(-1)*(l**(-2/9)/l)/(l**(-5)*l*l)) assuming l is positive. l**(-47/45) Simplify ((k**(-1/2))**(-2/9))**(-2/13)*k/(k*k*k/k**(-2/11)*k)*k/(k**(-2/17)*k*k)*(k/(k/(k*k**(1/5))))/k**2 assuming k is positive. k**(-533986/109395) Simplify (t/t**(2/25))/t*t**(-1/15)/t*((t*t*t*t*t**(-8/3)*t*t)/t)**47 assuming t is positive. t**(2713/25) Simplify ((((o/o**(-1/10))/o*o*o)/o)/(o/o**(-2/13)))/(o**3*o**6)*(o*o**(3/8)*o**(2/7))**(-2/7) assuming o is positive. o**(-121391/12740) Simplify (a/(a/(a*((((a/((a*a**(-1/5)/a)/a)*a)/a)/a)/a)/a*a)*a*a))**2/(a**(11/2)*((a*a/(((a*a/(a/a**0))/a)/a)*a)/a)/a*a) assuming a is positive. a**(-101/10) Simplify (((((t/(t/(t*t*(t*t*t**45*t)/t)))/t)/t)/t)**(-46)*(t/(t/t**(-32)))/t*t**(-1/55))**43 assuming t is positive. t**(-5082428/55) Simplify t**(-6)*t**(-2/15)*t**(-1/10)*t*t**6*t**(-1)/(t/(t/(t*t**(-7))))*t**2/(t**(-2/19)/t) assuming t is positive. t**(5057/570) Simplify ((h**(-1/7)*h**(-1/7))/((h*h*h**7)/(h**(8/5)/h)))/(h/(h/((h/h**3)/h)*h*h)*h**(2/27)*h*(((h/(h/h**(2/7)))/h)/h)**29) assuming h is positive. h**(42482/945) Simplify ((p**(-1)*p)**(-31))**(-22)/((p*((p**2*p)/p)/p)/(p/(p**(-3/2)/p))*p*p*p**(-1/11)*p*p*p/p**1*p*p*p) assuming p is positive. p**(-119/22) Simplify (s**(1/4))**(-15/7)/((s/((s**(-1)/s*s)/s))/s**(2/17))*s**(-2/15)*(s*s**3*s)/s*s**(2/5)*s*s**(-3)*s assuming s is positive. s**(-1081/7140) Simplify (((((i/(i/(i/(i*((i**(1/3)/i)/i)/i)*i)*i))/i)/i)/i)**(1/9)*(i/(i*i**(-2/15)*i))**(-16/7))**(2/27) assuming i is positive. i**(3674/25515) Simplify (d*d*(d/(d*d*d**(-13)*d))/d*d*d)/d*d*(d*((d*d**(-1/9))/d)/d*d)/d*(d**(-1/22)/d)**37 assuming d is positive. d**(-4909/198) Simplify (((j/j**(-1/2))**(-18/11)*(j*(j**0*j)/j)/j*j*j/j**(-1/2))**5)**(1/8) assuming j is positive. j**(5/176) Simplify ((r/(r/(r**0*r*r)))**(-8/13)*(r**(6/5)/r)/(r*r**(-5/2)))**(-1/88) assuming r is positive. r**(-61/11440) Simplify t*t**(-8)*t**1*t**(-1/3)*t*(t**(-1)/t)/t*t*t*(t**7/t)/(t*t**8/t)*((t/(t*t*(((t*t**(-3/4))/t)/t*t)/t))/t)/(t**(-1)*t) assuming t is positive. t**(-103/12) Simplify (m/m**(-5)*m**(-42)*(m**(3/4)*m)/(m*m/(m/m**(-44))))**(16/3) assuming m is positive. m**(140/3) Simplify ((q**2*q*q**(-1/9)*q)/(q*q**1)**(-1/2))/((q**(1/2))**(2/11)/(q**(-1)/(q/((q**(-7)/q)/q)))) assuming q is positive. q**(-614/99) Simplify ((j**(-8)/j*j**2)/(((j**(-2)/j)/j)/(j/(j*(j/j**(-3))/j))))/((j**(2/3))**(-1/13)/((j/(j*j**(-2/7)/j))/j*j)**(-12)) assuming j is positive. j**(-5836/273) Simplify i**(3/8)/(i/(i*i**(-2)))*(i/(i/((i/((i**6/i)/i)*i)/i)*i))/(i/i**(-1/5)*i)*(((i*i**8*i)/i)/(i**(-9)/i))/(i**0/i**(-9)) assuming i is positive. i**(87/40) Simplify ((k**1/k)**(-10/3))**43*((k/(k/(k/k**(-5)*k)*k))/(k/k**(-2/13)))**39 assuming k is positive. k**189 Simplify (f**8)**(6/5)*f**(-1/23)*f*f/(f**(3/4)/f)*f assuming f is positive. f**(5891/460) Simplify (((o**(-10)/(o/(o*o**(-5/2))))**(-1/13))**(-25/2))**(-7/10) assuming o is positive. o**(875/104) Simplify (b**(2/7)*b)**(2/7)/(b**(-4)*b**0*b)*(b*b**(-1))**(-47)/((b/((b*b/b**(2/5)*b*b*b)/b))/((b*b**(-1/7))/b)) assuming b is positive. b**(1427/245) Simplify ((r/r**(-6/7))**(-46)*(r**(-19))**2)**37 assuming r is positive. r**(-31968/7) Simplify ((t/t**13*t*t)**(-4/3)/((t**(3/10)/t)/(t/t**(-13))))**(-31) assuming t is positive. t**(-26071/30) Simplify ((t**(-2/5)*t*t/t**(-2/3)*t)/(t**2*t*t**(-4)))/((t*t/t**(-3))**29)**(1/24) assuming t is positive. t**(-71/40) Simplify ((k**1/(k/((k*k**0/k)/k)))/((k/k**3*k)/k*k*k*k**(-7)))/(k**(-2)/(k**(-6/7)*k)*k**1/k*k**(-6)*k) assuming k is positive. k**(92/7) Simplify ((z*z*z*z**(2/3))**27/(z**(-2)/z**(-1/2)))/((z/z**(-8)*z**(-4/11))/((z/(z/z**(-6/7)))/((z/z**3*z)/z))) assuming z is positive. z**(14323/154) Simplify ((k/k**(2/7))**25*(k*k/(k**(-8)*k*k*k))/k**(3/5))/((k**(2/7))**(15/4)*(k*k**1*k)**(13/5)) assuming k is positive. k**(1077/70) Simplify ((u**(-2))**20)**(-4)/((u/(u*u**(-3))*u)/(u**(-3)*u*u)*u*u**(-2)*(u/u**(-1/3))/u) assuming u is positive. u**(467/3) Simplify l**(-3/29)/l*l/(l/(l/l**(-2)))*(l/((l*l*l**(-2/61)*l)/l)*l*l)**(-2/47) assuming l is positive. l**(154031/83143) Simplify (v/v**24*v**(-26)*(v*v**1)/v*v*(v/v**(1/16))/v)**(-2/23) assuming v is positive. v**(753/184) Simplify (((q*q**(-46)*q)/q**(-5/3))/(q/q**(-3/26)*q)**(-2/41))**14 assuming q is positive. q**(-945364/1599) Simplify ((((x/((x/(x**(-2/13)*x))/x))/x)**(-42))**(-2/7))**(3/17) assuming x is positive. x**(396/221) Simplify g/(g*(g*g/g**23*g)/g)*g*g*g**(-3/4)*(g**(5/4))**31 assuming g is positive. g**61 Simplify (f*f**(-5)*f*f**(3/2))**4*((f/(f*f**(-5))*f)/f*f**1)**(-1) assuming f is positive. f**(-12) Simplify ((((w**4*w*w)/(w*((w/(w/w**0))/w)/w))*
{ "pile_set_name": "DM Mathematics" }
8 = -5*l, -2*m - l = 29 - x. Is 15 a factor of 2*(1 - m) + 2? True Suppose 3*c + 15 = 8*c, -5*t = 3*c - 9. Let d be (-5)/(-3) + 1/3. Suppose 4*r = -l - t*r + 9, l = 3*r + d. Is l a multiple of 4? False Is 60 a factor of (122/3)/(1/30*10)? False Suppose 4*m + 0*n - 8 = n, 10 = 5*m + 4*n. Let f(r) = -2 + r**m - 7 + 3*r - r. Is f(-5) a multiple of 6? True Let v be (-9)/(-2)*(-4 - -58). Suppose -5*z + 3*f = -877 - v, -z - 5*f = -252. Does 27 divide z? False Let q be (9/12*-1)/(4/176). Let g be 1 + 1 - (-72 + -1). Let o = g + q. Is o a multiple of 21? True Suppose 3*p + 22*p = 4800. Does 8 divide p? True Let p = -288 + 349. Is 6 a factor of p? False Suppose -4*n = 5*u - 14 - 45, 5*n - 125 = 4*u. Is n a multiple of 2? False Suppose 2*q - 6*q = -8. Suppose q*n = 5*n - 165. Does 12 divide n? False Let m(p) = -28*p**3 - 3*p**2 - 2*p - 15. Is 20 a factor of m(-3)? True Let d(p) = -17*p - 3. Let m = -27 - -24. Is d(m) a multiple of 24? True Suppose 0 = -3*x + 6 - 0, 0 = -2*h - 2*x + 268. Does 11 divide h? True Let f = -16 - -1. Let n(w) = -4*w + 4. Let j be n(f). Let m = j - 31. Is m a multiple of 33? True Let j(o) = o**3 + 7*o**2 + 4*o - 7. Let x be j(-6). Let t(f) = f**2 + 5*f - 32. Let i be t(6). Is 22 a factor of i - (x/5 - -1)? False Suppose 4*o + 200*m - 202*m - 730 = 0, -o - 2*m = -190. Is o a multiple of 11? False Suppose -13 = -2*y + 5*q + 18, 0 = y - 3*q - 15. Let r = 95 + y. Is r a multiple of 6? False Is 16/72 - 457/(-9) a multiple of 17? True Let r(v) = -45*v**3 + 13*v + 26. Does 20 divide r(-2)? True Suppose -2*v + 7 - 3 = 0, 4*k = -2*v + 380. Does 10 divide k? False Let d be (12/10*5)/2. Suppose 4*w - d*g - 207 = -w, 4*g = -16. Is 27 a factor of w? False Let g(c) = 7*c**2 - 26*c + 68. Does 25 divide g(15)? False Let z = 20 + -2. Suppose -b + 2*u + z = 3*u, -74 = -5*b - u. Is 2 a factor of 134/b - 24/42? False Let d be ((-10)/2 + -202)*4/6. Let l = -91 - d. Is 34 a factor of l? False Suppose -3*x = -4*n + 263 + 80, 2*n - 4*x - 174 = 0. Does 4 divide n? False Suppose 4*u + s - 3635 = 0, 1 = s + 6. Is u a multiple of 65? True Let u = -2632 - -3059. Is 20 a factor of u? False Suppose -6 = 2*n - 5*n. Let u = n - -2. Suppose 10*x + 83 = 2*c + 5*x, u*x + 172 = 4*c. Is 22 a factor of c? True Suppose -44 = 4*r + 2*p, 0 = 5*r + p + 4*p + 65. Let a = r + 12. Suppose a*b - 8*b + 85 = 0. Does 13 divide b? False Suppose -v - 5*q = 5, -3*v = -q - 2*q - 21. Suppose -2*k - f - 159 = 3*k, 11 = -k + v*f. Is k/(-2) - (-7)/14 a multiple of 4? True Suppose 0 = 4*m - 6*z + 3*z - 2106, -m = -z - 526. Is m a multiple of 8? True Suppose -5*c = -2*k + 4*k - 5, 0 = -2*k + 4*c - 4. Let b(j) = -3 - 2 + 0*j + k*j + 10*j. Does 12 divide b(3)? False Is (-13 - -7) + (1437 - (9 - 4)) a multiple of 62? True Let l(a) = 9*a + 7. Let d = 12 + -17. Let u be l(d). Let j = u + 53. Is j a multiple of 12? False Let h = 19 + -28. Let q(f) = 2*f**2 + 13*f + 5 + 3 - 7. Is q(h) a multiple of 12? False Let s = -49 - -54. Suppose -4*a - 4*c + 104 = 0, 2*c + 15 = s*a - 136. Does 29 divide a? True Let h(d) = -d**2 + 12*d - 18. Let b be h(10). Suppose 5*m = b*m, 2*y - 3*m = 282. Is y a multiple of 19? False Does 21 divide 31104/88 + (-42)/(-77)? False Let h(q) = q**3 + q + 3. Let y be h(0). Suppose b = f - 11, y*f = -2*b - 2*b + 12. Suppose 3*s - f = -4*i + 81, 3*s = -i + 29. Is 20 a factor of i? True Suppose 101 = 3*i + 4*v, 5*v + 73 = 5*i - 72. Suppose -2*f + 15 = -i. Is 23 a factor of f? True Let t = 420 + -235. Suppose 8*z = 13*z - t. Suppose 0 = 2*l - 51 - z. Is l a multiple of 21? False Let z = 227 - 122. Suppose -2*d + z = 3*d. Is d even? False Suppose -5*x + 755 = -5*k, -5*x + 4*k = -0*x - 752. Is x a multiple of 44? False Suppose 3*g = -4*l + 191, 0 = l - 3*g - 32 - 27. Let z be l/6 - 6/18. Suppose 0 = 3*u + o - 68, -5*u + z*o + 102 = 4*o. Is 22 a factor of u? True Let a be ((-4)/(-12) + -1)*-3. Suppose 0 = -n - 1, a*q + 5*n + 3 = q. Suppose 5*c + q*t - 33 - 47 = 0, 0 = 4*t. Is c a multiple of 11? False Let v = -18 + 20. Suppose 0 = -d + p + 7, -5*d + v*d - 5*p = 11. Suppose 2*a + 73 = 3*n - 73, 4*n - d*a = 194. Is 10 a factor of n? True Suppose 0 = 5*p - 4*k - 31199 + 8161, -6 = 3*k. Is 94 a factor of p? True Let t = -353 - -1017. Is 8 a factor of t? True Let g(r) = 6*r - r**2 - 41*r - 21 - 3*r. Is 19 a factor of g(-32)? True Suppose 14 = -2*d + 4*u - 14, 3*d - 4*u + 46 = 0. Let g be (d/3)/(15/(-20)). Let t = g - 5. Does 3 divide t? True Suppose -198*s - 620 = -202*s. Is s a multiple of 5? True Let u = 21 - 45. Suppose -3*h - 6*k + 9*k + 21 = 0, -9 = -h - k. Let s = h - u. Is 6 a factor of s? False Let h = -18 - -22. Suppose 5*q + a - 23 = 0, h*q + 5*a = 3*a + 22. Suppose -q*j = v - 237, 2*v - 234 = -2*j - 2*j. Is j a multiple of 15? True Let p(v) = 325*v - 28. Let m be p(3). Suppose -a + 165 = -2*x, 4*a + 267 = 3*x + m. Does 28 divide a? False Is -5 + (0 - 12)/(-6)*350 a multiple of 14? False Suppose -208 = 5*b - 7*b. Suppose -b = -t - 3*t. Is 8 a factor of t? False Suppose 4*v - d + 2*d = 1035, v = 3*d + 275. Is v a multiple of 26? True Suppose 2*u - 26 = -y, y - 5*y = 16. Suppose -4*r + 57 = -u. Is 9 a factor of r? True Let k be (1 - 321/15)/(2/10). Let n = k + 162. Is n a multiple of 16? False Is (1038954/(-28))/(-29)*8/6 a multiple of 23? False Let z be 14/(-5) - 4/20. Is 36 + -4 + (z - -9) a multiple of 5? False Let p(b) = 3*b**2 - 2*b. Let c be p(-1). Suppose -c*z - 3*h = -161, 0 = -4*z + h - 0*h + 139. Is z a multiple of 19? False Suppose -5*l + 10 = -10*l. Let h be (l/(-3))/((-2)/(-24)). Suppose h*g - 25 = 3*g. Does 2 divide g? False Let d(z) = -z**3 + 11*z**2 - 10*z + 2. Let l be d(10). Suppose -l*n + 840 = 3*f, -840 = -3*f + 3*n - 7*n. Does 6 divide 7/(-2)*f/(-98)? False Does 19 divide (-12)/(-27) + 1535/9? True Let h be (-3)/4 - 57/(-12). Suppose 0 = h*d + d. Suppose d*l = -l + 80. Does 20 divide l? True Suppose 0 = 5*q + 5*s - 30, 0*q - 5*s = -q. Suppose -q*b = -3*g - 200, 0*g - 5*g + 25 = 0. Is b a multiple of 7? False Suppose o + 9 - 15 = 0. Let g(p) = p**3 - 7*p + 9. Does 20 divide g(o)? False Let s = 4 - 4. Suppose s = -2*b + 11 + 1. Let n(j) = -j**3 + 8*j**2 - 2*j + 1. Is 25 a factor of n(b)? False Suppose -5*z = 4*s - 6425, 0 = z + 146*s - 148*s - 1299. Does 6 divide z? False Let i = 36 - 12. Let o = 52 + -20. Let r = o - i. Is 8 a factor of r? True Let r(d) = -10 + 7*d + 2*d - 3*d + 5. Let t be r(8). Suppose 7*z = 8*z - t. Is 18 a factor of z? False Does 38 divide (1 - -37)*88*(5 - 4)? True Suppose r - 3 = -1. Suppose 0 = m - 2, r*u - 160 = -m + 5*m. Does 12 divide u? True Suppose -2*q - 381 = 4*m - 7*q, 0 = m + 5*q + 64. Let x be 3 - 2 - -2 - m. Let g = 197 - x. Is 35 a factor of g? True Suppose 4*t + 5*u = 3466, -2710 = -4*t + 5*u + 736. Is t a multiple of 12? True Let v = -3 + 5. Suppose -5*t + z + 228 = 0, -v*t - 5*z = -3*t + 36. Does 12 divide t? False Let j(y) = 36*y**2 + 12*y - 24. Is 7 a factor of j(4)? False Let h(s) = 3*s - 3*s - 3*s - 1. Let g = 8 - 13. Is h(g) a multiple of 14? True Let c(b) = -5*b**3 + b**2 - 3*b - 5. Suppose 4*l = -2*k - 6, 2*l = k - 2 - 3. Does 15 divide c(l)? True Let p(d) = -d**3 + 6*d**2 + 8*d - 8. Let t = -9 - -15. Does 10 divide p(t)? True Suppose 0 = -4*d - 19 - 41. Let s = 20 + d. Is 4 a factor of s? False Suppose -63*w = -61*w - 500. Is 10 a factor of w? True Let c = 12 + -13. Is 10 a factor of -6*c/(-2) - -32? False Let m(a) = 23*a**2 + 24*a + 88. Is m(-8) a multiple of 57? True Let t(y) = y**3 - 6*y**2 + 6. Let l be t(6). Let f(i) = 2 + 5*i - l*i**2 - 3*i**2 - i**2 + i**3. Does 13 divide f(10)? True Suppose 413 = 2*y - 2*l - 207, y = -3*l + 294. Let u = y - 104. Is u a multiple of 16? False Is 651/(-2)*(-124)/186 even? False Suppose -w = -10*k + 15*k - 1259, 3*w - 1257 = -5*k. Is 42 a factor of k? True Suppose 2*g + 5 = 3*g. Suppose -2*f - 4*m + 32 = 0, 0 = -g*f + 2*m - 7*m + 100. Suppose 4 = -5*a + f. Is 4 a factor of a? True Is 14 a factor of (-7)/((-140)/4) + (-27296)/(-20)? False Let z be -4 + 4 + (-5)/(-5). Is 24 a factor of (-3 - 30)*-8*(0 + z)? True Suppose 2*x - i - 4*i = 11, -2*x + 1 = 5*i. Suppose -x*v + 40 = -2*y - 98, 2*v - y = 93. Does 23 divide v? False Is 64 a factor of -136*(8/(-76) - 136/152)? False Suppose 5*c - 3*c = -16. Let s(t) = -t**2 - 9*t - 3. Let u be s(c). Suppose -u + 16 = l. Does 4 divid
{ "pile_set_name": "DM Mathematics" }
e nearest one million? -12000000 Let p = -0.6 - -0.614. Round p to 2 dps. 0.01 Let d(l) = 8722*l**3 + l**2 - 3*l + 2. Let q be d(-3). Let u = 131474 + q. What is u rounded to the nearest 10000? -100000 Let q be 0*3/(-6) + 2. Let r be -2 + q + 0/1. Suppose -4*y - 15172 - 13628 = r. What is y rounded to the nearest one thousand? -7000 Let h = -93.0008 - -93. What is h rounded to four decimal places? -0.0008 Let i = 155.2688 + -224.2727. Let q = -69 - i. What is q rounded to 3 dps? 0.004 Let n = 0.90305118 + -1.27704965. Let x = -0.374 - n. What is x rounded to seven decimal places? -0.0000015 Let t = -0.02 - -1.04. Let d = t + -1. Let l = d - -0.01. Round l to 1 decimal place. 0 Let m = 257.103 - 257. What is m rounded to 2 decimal places? 0.1 Suppose 0 = c - 3 + 1. Suppose h = -1, c = -k + h - 2*h. Let q be 0 - k - -1 - -629998. Round q to the nearest one hundred thousand. 600000 Let o = 1.67 - -72.33. Let x = -74.00000082 + o. Round x to 7 dps. -0.0000008 Suppose 5*m + 248242 = 3*t + 46278, -134640 = -2*t + 2*m. Suppose t = 2*y - 40870. Let i = y - 108094. Round i to the nearest 10000. -50000 Let y = -1.6 + 1.600045. What is y rounded to five decimal places? 0.00005 Let z = -0.4 + 2.4. Let p = z - 2.01. Round p to one dp. 0 Let y be 20/2 - (-4 + (-24)/(-6)). What is y rounded to the nearest 10? 10 Let s = -12.982 + 13. What is s rounded to 2 decimal places? 0.02 Let l = 1.2 + -25.2. Let i = -23.888 - l. What is i rounded to two decimal places? 0.11 Let v = 622 - 618.37. Round v to 0 decimal places. 4 Suppose 0 = -15*n + 19*n - 824000. What is n rounded to the nearest 10000? 210000 Let p = 296.0456 - 0.0456. Let d = p + -183. Let b = 112.999861 - d. Round b to 5 dps. -0.00014 Let k = 0.0292 + -4.2092. Let a = k + 2.41. Round a to 1 decimal place. -1.8 Let j be 12/(-1*4) + 433. Round j to the nearest 100. 400 Let k = -18.9867 - -0.0967. Let p = k + -0.11. Let b = p + 19.00000018. What is b rounded to seven dps? 0.0000002 Let i = -4.8 - -39.8. Let a = i + -24. Let n = a - 11.028. Round n to 2 dps. -0.03 Let s = 0.888217 - 896.926117. Let f = s - -896. Let a = -0.029 - f. What is a rounded to 3 dps? 0.009 Let f = 5176261 + -5176259.0999924. Let x = 1.9 - f. What is x rounded to 6 dps? -0.000008 Let d(t) = -2*t**3 - 2*t**3 + 2*t**2 + 0*t**3 + 1 - 8*t. Let q be d(-6). Suppose -415 - q = g. Round g to the nearest 1000. -1000 Suppose u + 264 = -5*u. Round u to the nearest ten. -40 Suppose 0 = 6*q - 3*q. Suppose -20 = -5*j, z - 7 = -2*j - q. Let s = -1 + z. What is s rounded to the nearest integer? -2 Suppose -2*l + r = -3, r = 2*l + 2*l - 3. Suppose -v + 3*v - 128 = l. Let p = 29 - v. Round p to the nearest 10. -40 Suppose -4*q = 2*v + 132, 5*v - q = -4*q - 344. What is v rounded to the nearest ten? -70 Let i = -0.129 - -0.12831. Round i to 4 dps. -0.0007 Suppose -4*i + 0*j = -5*j - 144000, 0 = -3*j. Round i to the nearest 10000. 40000 Let o = 1639161727.99999818 + -1639161676. Let g = o - 52. Round g to 7 decimal places. -0.0000018 Suppose 0 = 4*d + 3*w + 8, -4*d - 5*w = d + 10. Let r be ((-168)/d)/(1/10). Round r to the nearest one hundred. 800 Let z(y) = -y**3 + 10*y**2 - 8*y - 12. Let w be z(9). Let c be 462003/6 + w/6. What is c rounded to the nearest 10000? 80000 Let f = 3147.16888 - 3147. Let m = f - 0.17. What is m rounded to four decimal places? -0.0011 Let t = 4.0950695738 + -0.0950696038. Let b = 4 - t. Round b to seven dps. 0 Let d = 1.6635 + -1.7. Let m = d - -0.04. What is m rounded to three decimal places? 0.004 Let b = 584.6 - 588.533. Let h = -3.9 - b. What is h rounded to two dps? 0.03 Let w = 704 + -683.35. Let y = w + -21. Round y to one decimal place. -0.4 Let r = -0.114 + 0.063. Let p = r + -1.269. Round p to one dp. -1.3 Let g = -39.476 + 40. Let s = -0.094 + g. Round s to 1 dp. 0.4 Let z = -103 + 101.42. Let u = 5.52 - z. Let w = u - 7.0949. What is w rounded to three dps? 0.005 Suppose -4*s - s + 7755 = 0. Let k = 1081 - s. Round k to the nearest 100. -500 Let h = 0 + 69. Let a = h - 44. Round a to the nearest 10. 30 Let u(b) = 2*b**3 + 46*b**2 - 11*b - 37. Let m be u(-23). Round m to the nearest one hundred. 200 Suppose 2*u + 26 = -98. Let m be u/(-2 - 168/(-87)). Let s = m + -439. What is s rounded to the nearest 100? 500 Let h = 2.8 + -6.6. Round h to 0 decimal places. -4 Let x = -6 + 5.97. Let o = 0.04 - x. Let a = -0.06955 + o. Round a to four dps. 0.0005 Let u = 298 - 315.29. Let d = u - -17. What is d rounded to 1 dp? -0.3 Let t be (((-26360)/6)/2 + 0)*3. What is t rounded to the nearest one thousand? -7000 Let h = -7.6 + 0.6. Let q = 6.9936 + h. Round q to 3 decimal places. -0.006 Let s = -3607 - 1193. Round s to the nearest one thousand. -5000 Let h(d) = -1719*d**3 - 2*d**2 - d - 8. Let g = -20 + 12. Let n be h(g). Suppose -2*j + 7*j = -2*s - n, 0 = 5*j. Round s to the nearest 100000. -400000 Let h = -152.99999821 - -153. What is h rounded to 7 decimal places? 0.0000018 Let p = -99814.053 + 99865. Let f = p + -51. Round f to two decimal places. -0.05 Suppose w = -2*t - 0*t + 83999, 42003 = t - 3*w. Round t to the nearest 10000. 40000 Suppose 0 = 3*v + 4179 - 498. Let q be 0 - (-45230 + 1 + 2). Let b = q + v. What is b rounded to the nearest 10000? 40000 Let t(h) = -2*h - 12. Let i be t(-8). Suppose g + 1 = i. Suppose -g*p = -2*j - 691 - 77, -p = -5*j - 1946. What is j rounded to the nearest one hundred? -400 Let o = -17.27 - -17. Let u = o + 0.236. Round u to 2 dps. -0.03 Let b = -8.5 + 12. Let r = b - 3.50017. Round r to four dps. -0.0002 Let w = 111 + -111.00000255. Round w to six decimal places. -0.000003 Let l = -8.0000003 + 8. What is l rounded to 7 dps? -0.0000003 Let d = -61274.8730154 - -61256.873. Let w = d - -18. Round w to six decimal places. -0.000015 Let s = 1287.99999481 + -1288. What is s rounded to seven decimal places? -0.0000052 Let y = -111.04 - -111. What is y rounded to 1 decimal place? 0 Let k(i) = 43750*i**3 + i**2 + 2*i. Let t(l) = l - 2. Let a be t(0). Let r be k(a). What is r rounded to the nearest one hundred thousand? -400000 Let t = -160.1 + 152.592. Let b = 10.51 + t. Let x = b + -3. Round x to three dps. 0.002 Let d = 108 + -108.0089. Round d to 3 decimal places. -0.009 Suppose 3*h = -z + 39185, 117620 = -4*z + 7*z - 4*h. What is z rounded to the nearest 10000? 40000 Let u = 191 + -126. Let a = u - 64.9999929. What is a rounded to six decimal places? 0.000007 Suppose 3*s - 3672 = -s. Let w(i) = -i**3 - 7*i**2 + 6*i - 2. Let n be w(-5). Let z = n - s. What is z rounded to the nearest 1000? -1000 Let m = 21 - -2979. What is m rounded to the nearest one hundred? 3000 Let g = -4158187 + 4158187.05620414. Let y = g - -264.92669586. Let r = -265 + y. What is r rounded to three decimal places? -0.017 Let p = 28202533834261189 - 28202530840206271.0000167. Let c = -2994054659 + p. Let f = c + -259. What is f rounded to 6 decimal places? -0.000017 Let i(m) = -m**3 - 2*m**2 - m + 1690000. Let g be i(0). Round g to the nearest 100000. 1700000 Let h = 0.025 + -0.02538. What is h rounded to four dps? -0.0004 Let g = -1.99 - 35.51. Round g to the nearest ten. -40 Suppose 6*g - 4974 = 3*g. Let c = 8058 - g. Round c to the nearest one thousand. 6000 Let b = -1 - -0.5. Let d = -0.7 + b. What is d rounded to the nearest integer? -1 Let r = -47 - -108. What is r rounded to the nearest ten? 60 Let u(j) = -j**2 - 4*j. Let f be u(-7). Let t = 5 + f. What is t rounded to 0 dps? -16 Let o = 2.08 - 2.1. What is o rounded to 2 decimal places? -0.02 Let q = 7 - 5. Suppose q*p = 227168 - 947168. Round p to the nearest one hundred thousand. -400000 Let s(v) be the first derivative of -48209*v**2/2 - 2*v + 1. Let r be s(-3). Suppose -176375 - r = 3*d. What is d rounded to the nearest ten thousand? -110000 Let q = 19 + -18.999992. What is q rounded to five dps? 0.00001 Let o(y) = -62*y + 2. Let j be o(11). What is j rounded to the nearest 100? -700 Let z = 2.73 - 2.8. Round z to two decimal places. -0.07 Suppose m - 4*m + 50454 = 0. Let n be m*-22 + -2 - 2. Round n to the nearest one hundred thousand. -400000 Let q = 169 - 168.907. Let j = q - -0.687. What is j rounded to 1 decimal place? 0.8 Let o = 0.03 + -2.03. Let w = o + 2.00002. Let f = w - 0. What is f rounded to four decimal places? 0 Suppose -d - 3*g + 6
{ "pile_set_name": "DM Mathematics" }
31*x + 2. Let a(m) = -60*m - 4. Let f(z) = -6*a(z) - 11*g(z). Let d be (1/3)/((-1)/(-6)). Is 8 a factor of f(d)? True Let x be 139/(-5) - 12/60. Let q = -25 - x. Suppose q*j - 45 = d - 0*d, -3*j = -4*d - 36. Is 7 a factor of j? False Suppose -12*w + 5150 = 5*l - 7*w, 2*l + 5*w = 2045. Suppose 4*d = 5*d + 3*m - 188, -l = -5*d + 4*m. Does 20 divide d? False Suppose -142688 = 94*r - 120*r. Does 98 divide r? True Let f(k) = 3*k**3 + k**2 - 65*k. Let a be f(8). Let j = a + 201. Does 11 divide j? False Let q = 123 + -110. Suppose -q*s + 3277 + 6824 = 0. Does 15 divide s? False Let n(p) be the second derivative of p**5/20 - 7*p**4/12 + 14*p**3/3 - p**2 + 104*p. Does 13 divide n(9)? False Let f = 10608 + -2509. Does 7 divide f? True Let p(z) = 2*z**2 + 5*z + 14. Let f be p(12). Does 51 divide f - (-4 - 63/(-7))? True Let m(y) = y**3 + 11*y**2 + 7*y + 11. Let i be (-48)/(2 + 21/(-9)). Let a be i/(-14) - (-2)/7. Is 4 a factor of m(a)? False Let m = -29 + 102. Let i = m - 13. Suppose i - 12 = 3*u. Does 3 divide u? False Let b(c) be the first derivative of -c**3 - 11 - 10*c**2 - 2*c + 8*c**2 + 59*c**3. Is b(-1) a multiple of 23? False Let n be 7/28 - (-513)/12. Let b = -40 + n. Is 0 - (-375)/(15/b) a multiple of 14? False Let c = 22 + -18. Let m be (-14)/(-8) + (-6)/(-24). Suppose m*r - 100 = -0*o + c*o, 2*o - 210 = -4*r. Is r a multiple of 13? True Does 9 divide ((-7119)/(-27) + 9)*54/4? True Let g(m) = -28*m - 4. Suppose k - w - 8 = 0, 22 = 2*k - 0*k - 4*w. Suppose -4*p = -3*j - 17, 9*j + k = 4*j - 5*p. Is 20 a factor of g(j)? True Let j(a) = 15*a**2 - 3. Let n be j(7). Suppose r = n - 90. Suppose 4*s = 4*w + 516, 5*s - 2*w = 2*w + r. Is 21 a factor of s? True Suppose -2*b - 4990 + 1294 = -3*n, 3*b = -9. Suppose 6*p = -n + 6474. Is 23 a factor of p? True Let t be (-1)/4 - (-87)/12. Suppose -26*i = -t*i - 16834. Is 10 a factor of i? False Let h(u) = u**2 + 46. Suppose -6*f = -l - 2*f + 106, 3*f + 6 = 0. Let t = -106 + l. Does 14 divide h(t)? False Suppose -244*a + 150 = -234*a. Suppose 7772 = -a*r + 24782. Is r a multiple of 12? False Suppose 2*n + 11*x - 1128 = 14*x, -5*n + 2*x = -2820. Suppose -2*p = a - 568, -15*a = -2*p - 17*a + n. Does 11 divide p? True Suppose 1791 = 5*j + l, 2*j - 3*l + 5*l - 718 = 0. Is 2 a factor of j? True Let r = 30 - 28. Suppose b + 134 = 3*p, 3*b - 8 = -r*p + 96. Is 23 a factor of p? True Let j = 26987 - 13259. Is j a multiple of 18? False Is 17292 + (-2 - -8) + 6 a multiple of 7? True Let q = 1059 + -2883. Let a = q - -2591. Suppose -a - 313 = -9*x. Does 24 divide x? True Let z be (-111)/18*16*6/(-4). Let o = z + 41. Is 27 a factor of o? True Let g = 72836 - 50476. Is g a multiple of 10? True Let b(o) = -o**2 - 124*o - 730. Is 13 a factor of b(-47)? False Suppose -25 = 5*a, -o + 0*o = 3*a - 176. Let z = o + 172. Is 11 a factor of z? True Suppose -58*v + 321*v = 22908 - 4498. Is v a multiple of 3? False Let y = -5115 - -8978. Is y a multiple of 126? False Let b(w) = -392*w - 13608. Is b(-134) a multiple of 40? True Let j = 52911 - 32359. Is j a multiple of 56? True Does 5 divide (-4)/12*(3 - -27)*(-1 - 21)? True Let v = 11666 - 6875. Does 25 divide v? False Suppose -2*l = l - 36. Suppose 4*n = 7*n - 5*q - 2100, -l = -4*q. Suppose 5*u = 5*i - n, 5*u - 275 = -5*i + 3*i. Does 20 divide i? True Let n be (-5966)/57 + (-2)/(-3). Let b = 118 + -186. Let d = b - n. Is d a multiple of 9? True Suppose -2*p + p = -y - 11, 0 = 3*y + 15. Suppose -p*w = -1066 - 1100. Is 30 a factor of w? False Does 162 divide (78/18 - 4)/((-8)/(-74904))? False Is ((-151232)/48)/(10/(-15)) a multiple of 139? True Let m(x) = -x**3 + 19*x**2 + 3*x + 13. Let h be m(18). Let i = h + 55. Suppose 0 = -5*t + 604 + i. Does 15 divide t? True Suppose -3*k + 5 = -5*w, -5 = 5*w - 3*k + 6*k. Let f(h) = h - 5. Let j be f(8). Is 9 a factor of (-107)/w - (-3)/j? True Suppose -7*f - 4*f + 97360 = 5*f. Does 10 divide f? False Suppose -25*k + 37 = -63. Suppose -2*o + 2*v = -42, -o + v = k*o - 101. Is o a multiple of 3? False Let r(j) = -j**3 - j**2 + 4*j + 4. Let v be r(-2). Let k be 3 - (v + 0/1). Let u(s) = s**2 - 2*s + 6. Does 2 divide u(k)? False Is (3 - 5 - 13) + 7015 a multiple of 140? True Suppose 3*i + 5*w - 22846 = 0, 19122 = 3*i + 3*w - 3726. Does 66 divide i? False Suppose -4*g + 9399 = m, 3*m = 51*g - 54*g + 28188. Is 67 a factor of m? False Let p = -48 - -58. Let a(g) = g**2 - p*g + 2*g**2 + 2*g - 7 + 9. Does 3 divide a(3)? False Suppose 4*j = 10*j - 378. Let u be (9*-1)/(j/42). Let x(w) = 3*w**2 + w - 11. Does 13 divide x(u)? True Suppose -5*u = 4*r - 39237, u = 37 - 32. Is 12 a factor of r? False Is 97 a factor of 1531708/(-69)*(3/(-5) - 18/20)? False Suppose -7*k = 17*k + 40*k - 274048. Is k a multiple of 16? False Suppose -5*f = 5*s - 80, 3*s + 4*f = 60 - 11. Suppose -21*i + 120 = 15. Suppose i*q = -2*t + 34, -s = -5*q + t + 13. Is q a multiple of 3? True Suppose 13*f - 3 - 23 = 0. Suppose -v = h - 5*v - 35, h - 41 = -f*v. Does 4 divide h? False Suppose 5*o + n = 3167, 3*n - 4*n = 4*o - 2533. Let f = -2227 - -1857. Let h = f + o. Does 22 divide h? True Let d = 41 - 89. Let c be 72/(-21) - -3 - d/14. Suppose 2*j = -3*o + 54, -29 = -c*o + 3*j + 10. Is 4 a factor of o? True Let f be ((-10)/3)/(2*(-4)/156). Suppose f = 9*c - 349. Is 23 a factor of c? True Let s(d) = -5683*d**3 + 6*d**2 + 4*d - 1. Is 49 a factor of s(-1)? True Let h = -12186 + 29526. Is h a multiple of 68? True Let f be (2 - (-25)/(-10))/(4/8). Is 13 a factor of f + (7 - 2) - -9? True Let n(s) = 3*s + 18. Let j(x) = x - 12. Let o be j(16). Suppose -2*y - 3*m = -32, 3*y + o*m - 66 = -2*y. Is 8 a factor of n(y)? True Let v(s) = s**3 + 7*s**2 - 7*s - 15. Let u be (2/(-2))/(22/7 + -3). Let y be v(u). Let g = -28 + y. Does 2 divide g? True Suppose 8 = g + 4*f, -2*f = -g + 2 - 0. Suppose -g*m - 3*w + 240 = 0, 6*m + w = m + 311. Let j = 78 - m. Is 5 a factor of j? True Let h be -5*1*(-4 + (7 - 4)). Suppose -h*j - 30 = -115. Is 17 a factor of j? True Let v(n) = n - 18. Let p be v(7). Let u = p - -9. Let j(g) = -2*g**3 - g + 3. Is 3 a factor of j(u)? True Let y(j) = 198*j - 22. Let m be y(3). Suppose 4*l - 556 = 2*h - h, -4*l + 5*h = -m. Does 6 divide l? True Does 52 divide (22/(660/(-88875)))/((-9)/12)? False Let w = 63 + -83. Is 9 a factor of (19 + w)/((-2)/698)? False Let c(j) = 3*j. Let u be c(0). Let g(y) = -y**2 + 2*y + 4. Let a be g(u). Suppose q + 2*b - 96 = 0, 4*q + a*b - 390 = 2*b. Does 18 divide q? False Let j(m) = 223*m - 6. Let c be (-44)/(-8) + 6/(-4). Let s(h) = -222*h + 5. Let y(i) = c*s(i) + 3*j(i). Does 17 divide y(-1)? True Suppose -22*h - 37*h - 11581 = -665773. Is h a multiple of 126? True Is 168 a factor of 264/(-121) + 2 + (-144183)/(-33) + -1? True Let z = 857 + 512. Is z a multiple of 2? False Let t = -7 - -11. Is (-28)/42*(-78)/t a multiple of 13? True Let q = -93 + 378. Suppose 5*y = 6*y - q. Suppose 4*a + 2*p = 4*p + 366, -3*a = -5*p - y. Is 30 a factor of a? True Suppose 0 = 13*f - 592 - 32. Is 25 a factor of -1 - f/6 - -168? False Let d = 356 - 591. Let z = d + 333. Is 14 a factor of z? True Suppose 5*n - 42320 = -3*d, 13*d - 8*d - 25392 = -3*n. Does 23 divide n? True Suppose m + 59 = -2*w + 8, 0 = -4*w + 5*m - 109. Let q = w - -37. Suppose -14*o + q*o + 396 = 0. Is o a multiple of 33? True Let i = 720 + -1496. Let k = -552 - i. Does 14 divide k? True Suppose -25282 = -6*k + 2*q, -12*k - 5*q + 21035 = -7*k. Is k a multiple of 18? True Suppose -u - 5*l + 8*l + 168 = 0, -320 = -2*u - 2*l. Is u/5 + (-4 - (-108)/30) a multiple of 8? True Let g(j) = -j**2 - 11*j - 19. Let y be g(-8). Let k(z) = 11*z - 4. Let q be k(y). Suppose 0 = a - 209 + q. Is a a multiple of 13? False Let k(y) be the first derivative of y**4/4 + 22*y**3/3 + 12*y**2 - 7*y + 12. Is k(-11) a multiple of 66? False Let l = 554 - 514. Suppose -l*f + 44825 = 4545. Is 53 a factor of f? True Let k(f) = -59*f + 280. Let j(d) = -20*d + 93. Let l(i) = -17*j(i) + 6*k(i). Is 11 a factor of l(-11)? True Let h(u) = u - 13. Let s be h(17). Suppose 4*k - 1359 = 9*v - s*v, 3*v + 1689 = 5*k. Is 24 a factor of k? True Suppose -53*u = -432536 - 624602. Does 132 divide u? False Let q = -5979 + 8811. Does 34 divide q? False Suppose -32*f - 6016 - 1312 = 0. Let q = f - -261. Is 16 a factor of q? True Let y(u) = 6*u**3 - 5*u**2 +
{ "pile_set_name": "DM Mathematics" }
l, v? v Let i = 1 + 3. Let u be -3 + i + (-10)/8. Let o = 12 - 17. Which is the closest to u? (a) o (b) 1 (c) -3/8 c Suppose 5*i - i = 0. Let f = 16 - 21. Which is the nearest to -0.2? (a) i (b) -0.1 (c) f b Let z = 2/125 + 117/500. Let b be 8*(7/(-2) - -3). Let a(x) = x**2 + 4*x - 2. Let i be a(b). What is the closest to 1 in i, 0.5, z? 0.5 Let b = -9 + -4.6. Let q = 14 + b. Let z = -3 - -2. What is the closest to z in -3, q, -1/4? -1/4 Let k = -9 + 4. Let r = 11/18 + -10/9. Let g = 1.1 + -0.8. Which is the closest to r? (a) g (b) k (c) 4/3 a Let p = 0.2 - -4.4. Let h = -5 + p. Suppose 3*s = 7*s. What is the closest to s in -0.1, h, 4? -0.1 Let l = 24 + -29. Which is the nearest to -1/4? (a) -4 (b) 0.4 (c) l b Let p = -12.2 + 12.3. Which is the closest to p? (a) -6 (b) 1/9 (c) 4 b Suppose 5*j = -0*j. Let w be 3 - (1 - 3)*-1. Which is the closest to w? (a) 1/4 (b) j (c) -1/3 a Let m = -4 + 1. Suppose -2*r = -2*y + 3*y + 2, 2*r = 3*y - 10. Which is the nearest to 2/5? (a) -5 (b) m (c) r c Suppose -2*z - 3*z = 15. Let v = z + 3. Suppose 0 = d - 5 - v. Which is the closest to 0.1? (a) -0.4 (b) -2/3 (c) d a Suppose -3 = 3*d - 5*x, 3*d - 2 + 5 = -4*x. What is the closest to d in 2/13, 4, 3/7? 2/13 Let m = -10.1 - -16. Let x = 6 - m. Which is the nearest to x? (a) -0.4 (b) -1 (c) 5 a Let d = 170/3 + -56. Which is the nearest to 2/7? (a) 0.1 (b) d (c) -0.5 a Let z = 5.1 - 5. Let n = -0.2 - -0.2. Let x = z - n. Which is the nearest to x? (a) -0.1 (b) 0 (c) -4 b Let h = 3 + -3.1. Let v = 87 + -86. Let z be 1 - 2*(-5)/(-6). What is the nearest to v in h, 0.1, z? 0.1 Let f = 0.4 + -0.3. Let z = 0.2 + 0.6. Let s = -0.2 - z. Which is the closest to 0? (a) s (b) f (c) -0.2 b Let l = -2.05 - -0.05. Let r = l + 3. What is the closest to r in 0, 1, -3? 1 Let h = -47 + 46. Which is the nearest to h? (a) 4 (b) 4/9 (c) 5 b Let o = 18 - 21. What is the nearest to 1 in 1/2, o, 1? 1 Let k = 0.5 - 0.3. What is the nearest to -1/2 in k, 15, 0.5? k Let q = -14 - -13.8. What is the closest to -0.3 in q, -4, 3? q Let j be (0 + (-4)/(-6))/(-2). Suppose 4*s - 4*f = 0, 2 = 4*s + f + 22. Let l be (-5)/(-1 - s - 2). Which is the nearest to -1? (a) 4 (b) j (c) l b Let n = -95 - -94.7. Which is the closest to 1? (a) -2 (b) n (c) -9 b Let y = -1.3 - 0.7. Let r = 119/3 - 40. What is the nearest to r in 4, 1/4, y? 1/4 Let u(w) = 4*w**2 + 1. Let j be u(1). Let i = 0.29 - 2.29. Which is the closest to i? (a) j (b) -2 (c) 3 b Suppose -w + 4*j + 7 = 3*j, -23 = -5*w + 2*j. Let q = -1.5 - -2.5. Let l = q + -0.8. What is the closest to 1 in l, w, -1/4? l Suppose 4*s + 6 = n, 5*s + 2*n + 2 - 1 = 0. Let f = -6.4 + 6. What is the closest to -1/4 in -1/5, s, f? -1/5 Let u = 0.6 + -0.5. Let m = u - 0.5. What is the nearest to -1/4 in m, 1/4, -2/19? -2/19 Let g = 21 + -23. Which is the nearest to g? (a) -4 (b) -3/4 (c) -1 c Let g(y) = -y**3 + 5*y**2 - 5*y + 4. Let s be g(4). Let h = 1.2 + -1.1. Which is the nearest to -0.1? (a) h (b) -4 (c) s c Suppose 0 = -2*o + 4 - 0. Let d = -2 + o. Let y(f) = f**2 - 15*f + 19. Let i be y(14). Which is the closest to 2/7? (a) -4 (b) i (c) d c Let w = -0.362 + 0.062. What is the nearest to -0.2 in -5, w, 4? w Let r = -326/65 + 60/13. What is the nearest to -2 in -1/4, r, -3? -3 Let l(m) = -9*m**3 + m**2. Let p be l(-1). Let t = 6 - p. Let h = -889/5 - -178. What is the nearest to h in 5, -2/3, t? -2/3 Let u be 3 + (-35)/26 - 2. Let x = u - -24/13. What is the closest to 0 in -0.5, 1, x? -0.5 Suppose -3*s + 4846 = 1114. Let z be (0 - -1) + s/(-7). Let i = 177 + z. What is the nearest to i in -1, -5, 5? -1 Let z be ((-6)/21)/(5/7 - 2). Which is the nearest to -2/9? (a) z (b) -2/9 (c) -0.5 b Let q be (2/(-6))/(3/9). Suppose 0 = -2*n - 3*n. Which is the nearest to -1? (a) -5/6 (b) n (c) q c Let d = -11 - -14. Which is the nearest to -6? (a) -3 (b) d (c) 0 a Let s = 8.1 + -8. What is the closest to s in -5, -1/3, 3? -1/3 Let q = 10 + -5. Let r = -1.95 + -0.05. What is the nearest to 1/3 in q, 1/9, r? 1/9 Let j be (-2)/24*-3*2. What is the nearest to j in 1/4, 1/7, -2/17? 1/4 Let h = -36 + 21. Let p = h - -15.3. Let d = -8/17 + 91/85. What is the closest to -1/2 in 3/4, d, p? p Suppose 29 = f + 115. Let i = f - -776/9. Let q = -6 - -1. Which is the closest to 0? (a) -2 (b) q (c) i c Let d = -0.9 + 1. Let m(l) = 2*l - 11. Let o be m(7). Which is the nearest to -2/7? (a) d (b) o (c) -0.5 c Let r be 35/30*(-18)/8. Let k = 121/40 + r. Which is the nearest to 1/2? (a) 2/11 (b) k (c) 0.9 b Let w = 43 + -173/4. Let s = 0.6 - 0.5. Let f = 0.2 - s. Which is the nearest to f? (a) 4 (b) w (c) -1 b Let z = 0.9 + -1.9. Suppose 4*w - 12 = -0*w. Which is the nearest to z? (a) w (b) -0.4 (c) -1 c Let m = 5/3 - 7/6. What is the nearest to m in -4, -2, 3/7? 3/7 Let c = -4.5 - -4. Suppose 10*x + 12 = -8. Let j = -0.1 - 0. What is the closest to j in x, c, 3? c Let z = -0.6 + -2.4. Let r = z + 3. What is the closest to -1/3 in -1/6, r, 0.2? -1/6 Let y be 38/(-90) - (-9)/45. Let x be ((-125)/(-12))/((-2)/(-4)). Let l = x + -21. What is the nearest to 0 in -1/2, l, y? l Let c = 42 + -38. What is the closest to 2 in 1/6, -4, c? 1/6 Let w = -10.7 - -11.1. Let p be (-3)/(-2)*(-2)/(-1). Suppose 3*i - p = 3*u, -4*u + 21 = -7*u - 3*i. What is the closest to 0.1 in u, w, 0.1? 0.1 Let p be 6*(5/(-3))/(-5). Which is the closest to p? (a) -0.3 (b) -0.5 (c) 0.5 c Suppose x - 6*x - 4*y + 21 = 0, 3*x - 4*y + 13 = 0. Let g be x*((-12)/21)/(-2). What is the closest to -2 in g, -4, -4/7? -4/7 Let m be 1/(-7)*(0 + -1). What is the closest to -2/3 in m, 3, -3? m Let j = -101/3 + 34. Let z = 0.1 + -0.1. Let i = 0 - z. Which is the closest to i? (a) j (b) -2 (c) 2/7 c Let l be 1 - 4/3*1. What is the nearest to 0 in 3, 0.4, l? l Let l be 12/8 - 2/4. Which is the nearest to 1? (a) 2/7 (b) 5 (c) l c Let m = -1 - 0. Let s be 3/2*(0 + m). Let a = -120/611 - -2/47. What is the closest to 1 in -0.5, a, s? a Suppose -9 = -77*r + 80*r. Let n = -0.1 - -0.1. Which is the nearest to n? (a) -2/5 (b) -1/10 (c) r b Let x = 8.8 + 0.2. Let h = x - 8. What is the nearest to h in 2, 5, -0.4? 2 Let q(j) = 2*j - 21. Let b be q(18). What is the closest to -1 in b, 5, 0.5? 0.5 Suppose -n - 4*w - 5 = 0, -4*n + 3 = -3*n - 4*w. Which is the nearest to n? (a) 2 (b) 4/7 (c) -0.5 c Suppose -17 + 53 = -2*w. Let p be w/8 - (-15)/5. What is the closest to 1 in p, -1, 0? p Let g = 8 - 8. Let x = -224 + 2914/13. Let r be (-6)/15*-5 - 3. Which is the nearest to r? (a) g (b) x (c) 0.3 a Let x = 1/4 + 5/12. Which is the nearest to 1? (a) x (b) -3 (c) -5 a Suppose -a = -0*a + 5. Let q be (3/4)/(18/16). What is the nearest to 0 in -2/17, q, a? -2/17 Let y = -1 - -5. Let v be (-2)/y + 99/126. What is the nearest to v in 5, -2/9, -2/13? -2/13 Let k = 1 - 1. Suppose 5*m - 5*l - 10 = 0, -m + 22 = -4*m - 4*l. Which is the closest to 2/5? (a) k (b) -3 (c) m a Let n = 3.41 - 3. What is the nearest to 0 in -2/5, n, 2? -2/5 Let x = -11 - -9. Let z = -24 + 26. Let o = 0.12 + 4.88. Which is the closest to z? (a) -4 (b) o (c) x b Let l = -23.9 + 24. What is the closest to l in 0.2, -0.5, 1/7? 1/7 Let x be (3 + (-9)/2)/(-4). What is the closest to 1/4 in 1, 3, x? x Let p be 1 + (20/12 - 2). Which is the closest to -1? (a) p (b) 4 (c) -4 a Let s = -0.01 + 3.01. Let p = -148 - -147.9. Let o = -0.5 - -1. Which is the nearest to s? (a) p (b) o (c) 0.3 b Let f = 1 - 1. Suppose 2*o = -f*o + 6. Let k be ((-4)/(-10))/(4/5). Which is the nearest to 1? (a) o (b) -0.3 (c) k c Let p = 4 + -4.3. Suppose 2*g - 1 = 4*w + 3, -5*w = -4*g + 5. Suppose g = -3*u - n - 3, -2*u + 6 = 5*n - 5. Which is the nearest to 0? (a) u (b) -0.4 (c) p c Let q = 1 + -0.9. Let w = 0 - 3. What is the nearest to q in 0, -1/9, w? 0 Let j be (-1 - -2)*52/(-1). Let q = -366/7 - j. Which is the closest to 2/5? (a) q (b) 1/2 (c) 0.2 b Let m = -1.08 + 2.08. Let i = -35 + 41.4. Let z = i + -6. Which is the closest to 0.1? (a) 0.1 (b) z (c) m a Let x = -161/3 + 54. Which is the nearest to x? (a) 3/4 (b) 0.4 (c) 7 b Let i(w) = 2*w**2 + 2*w - 3. Let p(x) = x**2 + x - 1. Let u(f) = -i(f) + 4*p(f). Let z be u(1). Which is the closest to -1/4? (a) -4 (b) 4/5 (c) z b Let
{ "pile_set_name": "DM Mathematics" }
.04, 0.1, 0, -0.1? -0.1 What is the second smallest value in 2/9, 2, 180? 2 What is the third biggest value in -16, 0.1, 3, -2/3? -2/3 What is the third smallest value in 209, -1, -5/2? 209 What is the third biggest value in 40, 0, -0.4? -0.4 Which is the third biggest value? (a) -2 (b) 3 (c) 1.85 (d) -1/2 (e) -3 d Which is the third smallest value? (a) -1/8 (b) -211 (c) -0.6 a What is the biggest value in 21, 1, 2/9? 21 Which is the second biggest value? (a) -0.4 (b) -2.7 (c) 5 (d) 54 c What is the fourth smallest value in -42, -1/2, 1, -5, -35? -1/2 Which is the third biggest value? (a) 1/2 (b) 5 (c) 4 (d) 2 (e) 0.07 d Which is the second smallest value? (a) 2/3 (b) 0.08 (c) 1 a What is the third biggest value in 1, 3/2, -33, -3? -3 What is the second biggest value in -1, 0.4, -5, -2/7, 105? 0.4 What is the biggest value in 37, -0.34, 5? 37 What is the second smallest value in 3, -17, -2/5? -2/5 Which is the fourth biggest value? (a) 2/11 (b) 1/8 (c) 3 (d) -3/2 (e) -7/6 e What is the third smallest value in -5, -1, 11, -2/15? -2/15 Which is the third biggest value? (a) 0.07 (b) 1 (c) 0.2 a Which is the third smallest value? (a) 0 (b) -38 (c) 1.5 (d) 4 c Which is the third biggest value? (a) 5 (b) -2/11 (c) 9 (d) 1/4 d Which is the third biggest value? (a) 6 (b) -0.02 (c) -37 c Which is the second smallest value? (a) -1.5 (b) 2/15 (c) 5 b What is the third biggest value in 3, 197, 2/11, 4? 3 Which is the biggest value? (a) -0.1 (b) 0.3 (c) 3 c Which is the fourth smallest value? (a) -2/23 (b) -2 (c) -0.4 (d) 1/4 d What is the smallest value in 2, -1/2, -4, 1/7? -4 What is the fourth biggest value in -4/7, -198, 0.3, -0.5? -198 What is the third biggest value in 4/11, -5, -0.1? -5 What is the third smallest value in -8, -20, -0.4, 0.2, 3? -0.4 Which is the second biggest value? (a) 0.3 (b) 1/90 (c) -2/9 b Which is the second biggest value? (a) -2/11 (b) -4/49 (c) 20 b What is the second smallest value in 5, -0.5, 477? 5 Which is the smallest value? (a) -3 (b) 5 (c) -1.1 (d) 0.3 a What is the smallest value in 5, 0.1, 36/19? 0.1 Which is the second biggest value? (a) 10 (b) 0.4 (c) -0.048 b What is the smallest value in -24, -1, -5, -3/4? -24 Which is the second biggest value? (a) 0.2 (b) -2/5 (c) -0.5 (d) -5 b What is the second biggest value in -0.1, 0.4, 1/7, -6? 1/7 What is the smallest value in -14/275, 0.5, -2, -5? -5 What is the smallest value in 2/21, -9, -0.3? -9 What is the second biggest value in 0, -0.4, 19, -6? 0 What is the biggest value in 0, 2, 27, 3, -1? 27 Which is the second smallest value? (a) -6/5 (b) -2 (c) -5 (d) 0.11 b What is the second biggest value in -0.5, -4, 52? -0.5 What is the smallest value in 0, -1/4, 2, -3? -3 What is the second biggest value in -10/3, -2, -0.02, 5/4? -0.02 Which is the second smallest value? (a) -1/31 (b) -2 (c) -2/7 c Which is the second biggest value? (a) 153 (b) 3 (c) 0 b Which is the second biggest value? (a) 3 (b) 2 (c) 0 (d) -10/7 (e) -2/33 b What is the second smallest value in 3/7, -3, 1? 3/7 What is the second biggest value in -2.4, -3/7, 0.3, 0.86? 0.3 Which is the fourth biggest value? (a) 0 (b) 6 (c) 2 (d) -0.033 d What is the third smallest value in -474, -1, 0.4? 0.4 Which is the third biggest value? (a) 2 (b) 6 (c) 5 (d) -4 a What is the fourth smallest value in 0.008, 0.4, 3, -5, 8? 3 Which is the smallest value? (a) -1/2 (b) -37 (c) 1/16 b What is the fourth biggest value in 4, -3, -2, -19.7, -4? -4 What is the third biggest value in -3/4, -1/3, -0.5, -0.1, -3/17? -1/3 Which is the second biggest value? (a) 3 (b) 4/7 (c) 0 (d) 2/7 b Which is the second biggest value? (a) -4 (b) 2 (c) -5 (d) 7 (e) -0.16 b What is the third biggest value in 2, -4, -0.4, 0.3? -0.4 What is the smallest value in -81, 14, 6? -81 What is the fourth biggest value in -1, -1/3, 2, -44, 0.2? -1 What is the third smallest value in 0.1, -0.199, -2/7? 0.1 Which is the second biggest value? (a) 0.4 (b) 4 (c) 45 (d) 2/19 (e) 2/13 b What is the smallest value in 43, -0.4, -48, 1/2? -48 What is the smallest value in 2, 0.4, -5/8, -11? -11 What is the second smallest value in 2/7, -0.0233, -2? -0.0233 What is the biggest value in 141, -0.1, 2? 141 What is the third biggest value in -7, 4, -4, 2/7, -0.3? -0.3 What is the fifth smallest value in -5, 3/8, -3, 22, 2? 22 Which is the biggest value? (a) -0.1 (b) -81 (c) -5 a Which is the third biggest value? (a) -16 (b) -3 (c) -4 (d) -2/7 (e) 5 b Which is the smallest value? (a) 43 (b) -3/2 (c) -7 c Which is the smallest value? (a) -3/4 (b) -18 (c) -2 b What is the fourth biggest value in -10, 4, 31, 5, -0.2? -0.2 Which is the biggest value? (a) -3.7 (b) -0.5 (c) -5 b What is the third smallest value in -0.4, -2.4, -1/2, -2/7? -0.4 What is the smallest value in -13, 2, 0.5? -13 What is the second biggest value in 130, -5, -1/6? -1/6 What is the fourth biggest value in 3/7, -1, 34, 0? -1 Which is the biggest value? (a) 1/4 (b) 0.4 (c) -43 (d) 3 d What is the third smallest value in 15, 0.1, 0.09, 5? 5 Which is the fifth biggest value? (a) 1/2 (b) 28/9 (c) -0.4 (d) 46 (e) -4 e Which is the third smallest value? (a) -2/9 (b) -0.2 (c) 0.0091 (d) -2/13 d Which is the second biggest value? (a) 2/13 (b) -2 (c) -0.0323 c Which is the fifth biggest value? (a) 0 (b) -0.2 (c) 1/2 (d) -3 (e) 4 d Which is the third smallest value? (a) -111 (b) -3/2 (c) 2 c What is the second biggest value in 4, -1/21, 1/8? 1/8 What is the second smallest value in -2, 7, 4? 4 What is the biggest value in -0.5, -13, 3/4, 0.5, 5? 5 What is the second biggest value in -3/2, -5, 17/4, -3/7? -3/7 Which is the third biggest value? (a) -36 (b) -4 (c) -1/73 a Which is the third smallest value? (a) -3 (b) -1/2 (c) -2 (d) 2 (e) -1/5 b What is the third smallest value in 2.3, -3/2, 3/4? 2.3 Which is the biggest value? (a) 0.5 (b) -1 (c) 1 (d) 8/27 c What is the fourth biggest value in 0, 0.3, -2, -2/5, -346? -2 What is the fourth biggest value in 2/7, 1/5, -4, 6? -4 What is the third biggest value in -0.3, 2, 98, -0.4? -0.3 What is the third smallest value in 4, 31, -5? 31 Which is the smallest value? (a) 2/5 (b) 1/10 (c) 28.5 b What is the second smallest value in 17.023, -2/5, 2? 2 Which is the third biggest value? (a) -2 (b) 3/2 (c) -9/5 (d) 4 (e) 4/27 e What is the second biggest value in 0.3, 5, 193? 5 What is the fourth biggest value in -3/4, -1/10, 3, 1/8, 4? -1/10 Which is the third smallest value? (a) -0.5 (b) 3 (c) 0.2 (d) -158 c Which is the second biggest value? (a) 0.3 (b) -2 (c) -1284 b Which is the third biggest value? (a) -1.4 (b) -7 (c) 1/7 b Which is the third biggest value? (a) 2/3 (b) -3 (c) -167 c Which is the fourth biggest value? (a) -2/15 (b) -0.5 (c) 5 (d) -1/6 b What is the fourth smallest value in 1344, -1/7, -4, 1/4, 0.5? 0.5 What is the third smallest value in -1/4, -109, 1, -3, -1/7? -1/4 What is the third smallest value in -0.12, -2, 0.4? 0.4 What is the second smallest value in 8, -1.8, 0.1? 0.1 Which is the third smallest value? (a) 1/9 (b) -2/39 (c) -9 (d) 2/5 (e) -5 b Which is the second smallest value? (a) -10/83 (b) 0.3 (c) -0.1 (d) -5 a What is the biggest value in -8, 3, -1/9? 3 What is the second smallest value in -0.2, -1/2, 47? -0.2 What is the second smallest value in 39, 0, 1? 1 What is the second smallest value in -85, 0.09, 0.03? 0.03 Which is the smallest value? (a) 1043 (b) 5 (c) 0 c Which is the biggest value? (a) 0.2 (b) -5 (c) 341 c Which is the smallest value? (a) -1/4 (b) -2/7 (c) -5 (d) 0.1 c Which is the third smallest value? (a) -4 (b) -19 (c) 0.3 (d) 5 c What is the fourth biggest value in -0.3, 1/5, 33, -1? -1 Which is the third smallest value? (a) -7 (b) -0.8 (c) 4 (d) -4 b Which is the second biggest value? (a) 2/41 (b) -1 (c) -4/101 c Which is the third smallest value? (a) 5 (b) 0 (c) -3 (d) -2/11 b Which is the third biggest value? (a) -6.12 (b) 3 (c) 0 (d) -0.1 d Which is the second biggest value? (a) 0.4 (b) -0.1 (c) 14/3 (d) 0.02 a Which is the smallest value? (a) 1 (b) -172/7 (c) 3/4 (d) 2/13 b What is the third
{ "pile_set_name": "DM Mathematics" }
2, 0 = -w - w - 3*g + 8. Let h = w + 2. Let f = h - 0. Solve -6*o + o + 5*r - 15 = f, 4 = 2*r for o. -1 Let h be 0/(4/2 + -1). Let y = 5 + h. Let d be y/((-5)/(-4)) - 1. Solve 3*q - 4 = -4*u, d = 4*u - 1 for q. 0 Let f(u) = -u**2 - 9*u - 5. Let h be f(-8). Let r be 0/(h + -4 + 2). Solve -a = 3*l + 1, -6*a + a - 4*l + 17 = r for a. 5 Suppose -l = -6*l + 15. Suppose l*q - 3 = 3. Solve 3*o = -q*g - 7, o + 9 = -2*o for g. 1 Suppose -m + 10 = -3*m, 0 = j - 5*m - 25. Suppose j = -0*s - s - 16. Let d be s*((-10)/(-4) + -3). Solve -3*g + d = -0*g - 2*n, -g - 4*n - 2 = 0 for g. 2 Let o = -115 - -128. Solve -n - 2 = 0, -p - 3*n - o + 2 = 0 for p. -5 Suppose 0 = 7*x - 13 - 22. Solve -2*u - 5*f + 15 = 3*u, -x*f + 21 = -u for u. -1 Let n(j) = -2*j**3 - j**2 + 2*j + 1. Let k be n(-2). Let w(u) = u**3 - 10*u**2 + 9*u + 5. Let i be w(k). Solve 19 = 2*t + i*d, 9 + 11 = 4*d for t. -3 Let k(g) = -2*g - 3. Let i(v) = v**3 + 4*v**2 + 6*v + 6. Let m be i(-3). Let a be k(m). Solve l + a = 3*c - 16, -5*c + 13 = 3*l for l. -4 Suppose 14 = -5*w + 39. Solve -2*t + 6 = 0, w*a - 3*t - t = 13 for a. 5 Let r(o) = o**2 + 2*o - 4. Let p be r(-4). Solve 7 = 3*a + 4*g - p, 0 = a + 5*g for a. 5 Let x be ((-3)/(-3))/(2/6). Let d = 7 - x. Solve -d*g - y - 1 = 15, g + 2*y = -4 for g. -4 Let g(r) = 4 - r - 2*r**2 + 6*r + 2*r**3 - 3*r**3 - r**2. Let s be g(-4). Solve 4*c + 4*h - 16 = -0*h, 2*c - 4*h + 16 = s for c. 0 Let h(c) = -c**2 + 5*c - 1. Let x be h(4). Suppose 3*p - 3*r = -12, x*p - 2*r = 6*p + 27. Let q = 11 + p. Solve 0 = -q*a - 5*w + 45, -4*a + 5*w - 8 = -3 for a. 5 Let h = -8 - -20. Let w be 44/h + 2/6. Solve 5*y - 4*z + 35 = 0, 0 = -2*y - w*z + 3*z - 1 for y. -3 Suppose 2*m + m = -m. Solve -2 = 3*y + 13, m = 2*h - 4*y - 24 for h. 2 Let d(u) = u + 1. Let l be d(8). Suppose 3*q = -l - 3. Let g be 1 - (2 + q - 11). Solve -14 = -4*v - w + 4*w, -2*v + g = 2*w for v. 5 Suppose 15 = -5*k + 20, 4*u - 11 = 5*k. Solve 4*b = h - 4, -h - 4*b - u = -0*h for h. 0 Let l = 6 - 4. Suppose 0 = -l*m - 4 + 74. Solve 3*u = -2*s - 23, 5*s + u + m = -2*u for s. -4 Suppose 5*o + 9 = 2*b, -6*b = -2*b + 3*o - 5. Suppose 4*t = 5*t - 12. Suppose 0 = q + 4, 0*d - 2*q = 5*d - t. Solve d*g = 4*u + 4, -2 = -b*g + 2*u - 4*u for g. 1 Let y = 5 - 3. Suppose 0*p - 6 = -y*p. Suppose -3*l + 0*m = 3*m - 12, -5*l = -m - 20. Solve l*t - 17 = 2*t + 3*n, -p = n for t. 4 Let i be ((-36)/45)/(2/(-10)). Suppose g - 23 = -2*v + 4*g, -4 = i*g. Solve 0 = -4*k + 4*j + 16, -3*j - 7 = 2*k + v for k. -1 Let h(m) = -m**3 + 6*m**2 + 4*m - 9. Let g be (5/((-10)/12))/(-1). Let t be h(g). Let n be 1*-2*(-17 - -16). Solve -4*l + n*u - 13 = l, 3*l - 3*u = -t for l. -1 Suppose -3*w = -39 - 3. Suppose 3*r - w = 5*h, -r = -0*r + h - 18. Solve -4*k + 13 = -3*z, 5*z = -2*k - r - 0 for z. -3 Let o = -7 - 0. Let b(w) = w**2 + 5*w + 3. Let z be b(-4). Let t = z - o. Solve -4*j = k + 11, t = -4*k + 2*k for j. -2 Let j(l) = -2*l - 1. Let h be j(-1). Let f be h + 3 - (-5 + 4). Solve -2*y + f*b - 24 = -y, 4*y - b + 20 = 0 for y. -4 Let m(g) be the first derivative of -7*g**2/2 + 2*g + 1. Let b be m(-2). Suppose 0 = -0*o + o - 4. Solve 0 = 5*c - 10*c + a + 15, 2*c + o*a + b = 0 for c. 2 Let z(r) = r**3 - r + 2. Let k be z(-2). Let j be 16/24*(-18)/k. Suppose 4*s - j = -5*n - 1, 0 = -4*s - 8. Solve 4*t + 0*q + q = 13, n*q - 18 = -4*t for t. 2 Let a(n) = -n**2 + 16*n - 10. Let w be a(15). Solve -2 + 7 = 5*m + 5*b, -4*m - w*b = -4 for m. 1 Let i(q) = q**2 - 7*q - 3. Let f be i(6). Let p(j) = -j**2 - 9*j + 7. Let w be p(f). Solve -2*g + w*g - 2*x - 16 = 0, 4*g - 11 = x for g. 2 Let m be (-624)/(-128) - 1/(-8). Solve 2*f + 2*a - 1 = 9, -2*f - m*a = -16 for f. 3 Suppose y - 1 - 4 = 0. Solve 5*l - 4*k = k + 10, -l - y*k = 4 for l. 1 Suppose 2*r - 51 = 5*j, 2*j + j = -3*r + 66. Let a = r + -14. Solve -4*b - 2*t = -t - a, -b + 4*t = 19 for b. 1 Suppose -5*t + j + 28 = 0, 4*t = j - 0*j + 23. Let l be (0 - (0 - 0))/(-2). Solve -f + 5*f + 3*g - 14 = 0, l = -t*f - 2*g + 14 for f. 2 Let i be (6/(-8))/(1/(-12)). Let z(w) = w**2 - 10*w + 9. Let x be z(i). Solve -4*b - 3*o + 6 = x, -5*b - 5*o + 13 = 3 for b. 0 Let n(x) = -2*x - 1. Let s be n(-2). Solve 4*d + 8 = 4*f, d + s*d + 12 = 0 for f. -1 Let a = -13 - -13. Solve -5*w + 4*w - x = -3, a = w - 3*x - 11 for w. 5 Let c = -5 - -10. Solve -2*y - 29 = c*m, 4*y + 3*m = -12 - 11 for y. -2 Suppose 1 = -4*o + 9. Suppose o = -0*t + t. Solve -t*l - 2 = -3*l - 2*z, 13 = -4*l - z for l. -4 Let c(r) = r - 5. Let y be c(8). Suppose -5*t + 8 = -y*t. Solve 2*i = 3*g + 7*i - t, i = -1 for g. 3 Let p(y) = -4*y**2 + 2*y - 1. Suppose 0 = -5*m + 4 + 1. Let b be p(m). Let t = 8 + b. Solve -5*v + t = 0, 2*i = 3*i + 3*v for i. -3 Suppose -4*d + 9 = -19. Suppose 2*l = 3*b + d, l = b - 6*b - 3. Solve 8 = 3*r - 2*t - 8, -t = l for r. 4 Let a = -24 + 22. Let d = -2 - a. Solve d = -l - 3*i - 10, -2*l + 2*i = 4*i for l. 5 Let y be 5/(-3)*(5 - 8). Solve -y*h - 17 = 3*z, 4*h + 2*z + 8 = -4 for h. -1 Let s = -51 + 69. Let d(m) = -m**3 - m**2 + m + 2. Let y be d(0). Solve 0 = -5*f - 4*v - 13, y*f = 5*v - 7 - s for f. -5 Let d(t) = -t - 7. Let l be d(-7). Solve -5*o + 4*a = 26, -3*o - 5*a + 6 + 8 = l for o. -2 Let w(u) = 4*u**3 - 2*u**2 + u. Let o be w(1). Let s = 3 + -2. Let p be 2*2/4*s. Solve -o*d - 4*r = -14, -1 = -3*d + 2*r + p for d. 2 Let k be (5 - 3)*8/4. Solve -10 = 2*y + 2*x, -2*x + k*x = -3*y - 15 for y. -5 Let o be -9 + 6 + -2 + 0. Let d be o/(-10) + (-3)/(-2). Solve 2*z + 4*g + d = 6, -g - 2 = -z for z. 2 Let i be 4/18 + 14/18. Let d = -8 - -8. Suppose 5*y = -d*y - 10, -c + 20 = 2*y. Solve i = -r - f - 1, 4*r = 4*f - c for r. -4 Suppose -4*g + 2*c = 7*c - 34, 5*g - c - 57 = 0. Suppose 2*z - n = 9, 4*n + g = -1. Let x = -2 + 2. Solve -2*a - 23 = -x*o + 5*o, -2*o = z*a + 18 for o. -3 Let q(p) = -p**3 - 5*p**2 - p - 3. Suppose 2*i - 14 = 3*v + i, -3*i = -4*v - 17. Let h be q(v). Solve 0*d + 4*d + 3*s + 11 = 0, -23 = h*d + 5*s for d. 1 Suppose 4*i - 2*z - 38 - 32 = 0, 4*i - 5*z = 55. Let a = -2 + 6. Suppose 4*x - 16 = -2*v, 2*x = -a*v - 2*x + i. Solve 0 = -l - 4*l - 5*y, -v*y = l + 1 for l. 1 Let p(l) = -l**2 + 3*l + 3. Let y be 4/6 - 20/(-6). Let n be p(y). Let k be ((-15)/(-12))/(n/(-4)). Solve -9 = 2*a - 5*a - c, k*c - 9 = 3*a for a. 2 Let u(r) = -2*r**2 - 8*r - 9. Let v(s) = s**2 - 7*s + 4. Let l be v(4). Let t be u(l). Let g = -38 - t. Solve 2*z - 10 = -4*j, -3*z - j + 5*j = g for z. -5 Suppose 2*w = 2*z - 2*w - 20, z = -w - 5. Suppose -d + 5*q - 19 = 0, 4*q = -3*d - q + 23. Let a be 4 - (d - 0/3). Solve 5*t = z, 3*n - a*t = -0*t for n. 0 Let k(x) = 3*x - 9. Let g be k(10). Suppose -5*v + 3*n + 2 + g = 0, 0 = 2*v + 2*n - 22. Solve -w = -2*i + 5, 3*i - v*i - 4*w + 4 = 0 for i. 2 Let n(t) = -t**2 + 4*t - 1. Let z be n(3). Suppose -z*p = 3*p. Solve 3*h + 5*a - 6 = -p*a, 3*a = 0 for h. 2 Suppose -2*i + 4*i = 80. Solve 0 = 2*t - 4*b + 18, -3*t + 5*b + 16 = i for t. -3 Let a(l) = l**3 - 5*l**2 + l + 6. Let d be a(5). Solve -4*t + 0*h + 3*h = -d, h + 3 = t for t. 2 Let r = 42 - 40. Solve 5*y = -2*s + r, -2 = -5*y + 2*s + 16 for y. 2 Let d be ((-27)/(-45))/(1/10). Solve -3*k + n - d = 0, -k + 5 = -2*n + 2 for k. -3 Let y be (-1)/6*-2*-1*-18. Solve y*m - 2*m - 18 = 2*b, -5*m - 10 = 4*b for m. 2 Suppose 0 = 4*r - k + 5*k + 12, -5*r + 4*k + 30 = 0. Solve 3*m - 4*b + 10 = m, -r*m - 2*b + 20 = 0 for m. 5 Let k be -3 + 2 + 0 - -4. Let s be (1 + -1)/3 - -12. Suppose 5*z - s = 28. Solve -k*l = -2*h - 12, -l + 2*h + 0 = -z for l. 2 Suppose 3*y - b = -4*b + 24, -4*y + b + 22 = 0. Let t = y + -1. Solve -10 = 5*n - n + 2*j, -12 = -3*n + t*j for n. -1 Let b be 4*1/2*(-15)/(-6). Solve 3*v + 3*a = 0, v - 6 = -b*a + 2 for v. -2 Suppose 0 = 2*q - y - 6, 0 = -4*q - 3*y - y. Let b(s) = -35*s + 2. Let p be b(-2). Suppose -q*a - 2*a = -p. Solve -a = 5*r - 4*h - 0*h, 3*r + h = -4 for r. -2 Let f = 14 + -10. Let k be (-3)/1*f/(-3). Suppose x = -h + 26, 0 = 2*h - 5*h + k*x + 85. Solve -3*j + 5 = y - 6, j - h = -5*y for y. 5 Let v(h) be the second derivative of h**4/12 - 2*h**3/3 - h**2 + 2*h. Let m be v(5). Solve -2*w = -5*b + w - 40, -5*w = -m*b - 40 for b. -5 Let y be (56/6 + -2)/(2/6). Solve -o + w - 1 = 0, -4*o + 0*o - y = 5*w for o. -3 Suppose -4*p - 8 = 0, 8*p + 7 = -3*h + 3*p. Let c be (-1 - h)/(-4)*4. Solve -c*n - 3 = -3*n - t, -19 = 2*n - 3*t fo
{ "pile_set_name": "DM Mathematics" }
Calculate j(6). 412 Let y(r) = -72*r - 797. Calculate y(-14). 211 Let k(x) = 13*x + 121. Give k(-8). 17 Let r(k) = -38*k + 401. Calculate r(12). -55 Let m(b) = -18*b + 293. Determine m(35). -337 Let w(y) = 328*y**3 - y**2 - 4*y + 2. Give w(-1). -323 Let p(u) = 4*u**2 + 18*u - 210. Calculate p(-10). 10 Let f(n) = 408*n + 2498. What is f(-6)? 50 Let a(j) = -16*j**2 + 72*j - 10. What is a(4)? 22 Let j(c) = 62*c**2 - 130*c + 2. Calculate j(2). -10 Let f(g) = g**2 + 27*g - 232. Give f(-22). -342 Let i(j) = -123*j - 3144. Determine i(-27). 177 Let q(j) = -45*j - 2529. Calculate q(-58). 81 Let p(j) = -5*j**2 - 59*j + 25. Calculate p(-12). 13 Let v(d) = -d**3 - 80*d**2 - 308*d - 337. Determine v(-76). -33 Let f(t) = -6*t**3 - 102*t**2 - 183*t - 27. What is f(-15)? 18 Let n(j) = -43*j - 3. Determine n(-2). 83 Let y(t) = -45*t**2 - 48*t. Calculate y(-1). 3 Let u(o) = -145*o - 148. Determine u(-1). -3 Let h(t) = -233*t + 698. Calculate h(3). -1 Let k(s) = -s**3 + 40*s**2 + 43*s - 103. Determine k(41). -21 Let p(y) = -24*y**2 + 112*y - 115. Give p(1). -27 Let q(j) = 2*j**2 + 19*j + 43. Calculate q(-2). 13 Let p(u) = u**3 - 16*u**2 + 11*u - 182. Give p(16). -6 Let i(q) = -q**2 - 43*q - 443. Give i(-17). -1 Let r(z) = 41*z - 1184. What is r(29)? 5 Let x(k) = -3*k**2 + 126*k - 4. What is x(40)? 236 Let m(x) = -852*x + 15337. What is m(18)? 1 Let x(w) = -2*w**3 - 6*w**2 + 8*w - 33. Give x(-6). 135 Let x(m) = 3*m**2 + 224*m - 9. Determine x(0). -9 Let t(b) = 11*b + 446. Determine t(-39). 17 Let r(y) = -2*y**3 + 37*y**2 + 89*y + 36. Determine r(21). -300 Let b(y) = -y**2 - 49*y - 145. Give b(-45). 35 Let f(w) = -w**2 + 70*w - 1110. Determine f(24). -6 Let l(c) = -3*c**2 - c + 6. Determine l(7). -148 Let d(f) = f**2 - 114*f - 1339. Give d(-11). 36 Let j(a) = -379*a - 53. Determine j(0). -53 Let a(o) = -o**2 + 439*o + 15068. Calculate a(-32). -4 Let n(r) = 6*r - 133. What is n(28)? 35 Let g(p) = 2*p**3 + 1045*p**2 - 31406*p + 547. What is g(-551)? -4 Let l(v) = 6365*v - 44540. Determine l(7). 15 Let w(f) = -157*f + 10. Determine w(0). 10 Let v(k) = -4881*k + 34180. Give v(7). 13 Let n(w) = 21*w - 1684. Give n(80). -4 Let w(s) = s**3 - 20*s**2 + 7*s + 692. What is w(9)? -136 Let a(v) = -4*v**3 - 34*v**2 + 6*v - 99. Give a(-9). 9 Let q(r) = -22*r**2 - 17*r + 68. Calculate q(3). -181 Let f(g) = 8*g**2 - 1236*g - 4412. Calculate f(158). 12 Let z(k) = -18*k**2 + 156*k - 155. Give z(1). -17 Let u(h) = h**3 - 67*h**2 + 61*h + 324. What is u(66)? -6 Let h(c) = -35*c - 83. Determine h(-2). -13 Let d(m) = 6*m**2 - 49*m - 32. Calculate d(8). -40 Let k(l) = -8*l**2 - 441*l - 4840. Determine k(-40). 0 Let g(n) = 13*n**2 - 165*n - 27. Calculate g(7). -545 Let l(k) = -k**3 + 120*k**2 - 230*k - 717. Calculate l(118). -9 Let b(w) = w**3 + 90*w**2 - 174*w + 206. Calculate b(-92). -714 Let y(l) = l**2 + 24*l + 104. What is y(-20)? 24 Let d(c) = c**3 + 78*c**2 + 214*c - 13. What is d(-3)? 20 Let w(a) = 3*a - 30. Calculate w(9). -3 Let f(o) = -25*o + 1579. Give f(42). 529 Let l(b) = b**3 - 10*b**2 + 42*b - 429. What is l(10)? -9 Let i(d) = -552*d + 6226. Give i(11). 154 Let a(q) = -q**3 - 8*q**2 + 155*q + 27. Determine a(-17). -7 Let v(k) = -12*k**2 - 10*k - 1. Calculate v(2). -69 Let l(f) = f**2 + 27*f + 153. Determine l(-9). -9 Let k(a) = 2*a**3 - 6*a**2 - 24*a + 19. What is k(5)? -1 Let o(c) = 5062*c + 80988. Calculate o(-16). -4 Let x(k) = -17*k**3 - 14*k**2 - 17*k - 23. Give x(-1). -3 Let d(k) = -5*k**3 + 15*k**2 + 20*k - 10. Calculate d(4). -10 Let t(w) = -3*w + 36. What is t(9)? 9 Let z(g) = 9*g**3 - 13*g**2 + 17*g + 6. Give z(2). 60 Let u(x) = 20*x**2 - 131*x + 69. Give u(6). 3 Let x(g) = g**3 + 8*g**2 - 521*g - 214. Determine x(-27). 2 Let g(q) = q**3 + 18*q**2 + 74*q + 13. What is g(-12)? -11 Let r(n) = 15*n**2 + 466*n + 25. Give r(-31). -6 Let b(p) = p**2 - 20*p + 81. What is b(17)? 30 Let s(r) = r**3 + 136*r**2 + 900*r - 400. Give s(-129). -13 Let d(j) = 8325*j**2 + 8323*j - 1. Determine d(-1). 1 Let k(j) = 12*j**2 - 281*j + 114. Determine k(23). -1 Let y(w) = -46*w + 686. Determine y(14). 42 Let m(k) = -42*k**2 + 14*k - 3. Give m(-2). -199 Let h(r) = -766*r + 15320. Give h(20). 0 Let d(h) = -h**3 - 24*h**2 - 35*h + 893. Give d(-20). -7 Let f(j) = j**3 - 11*j**2 + 24*j - 31. What is f(10)? 109 Let v(x) = -273*x**2 + 24*x - 21. Calculate v(1). -270 Let b(v) = 19*v + 119. Determine b(-6). 5 Let f(y) = -y**3 + 3*y**2 + 51*y - 22. What is f(-6)? -4 Let k(s) = s**3 + 9*s**2 - 4*s - 5. Calculate k(-9). 31 Let b(z) = z**3 + 6*z**2 - 5*z + 25. What is b(-7)? 11 Let p(i) = -12*i**2 + 7*i + 1. Calculate p(-1). -18 Let i(a) = -a**3 + 68*a - 3. Determine i(-8). -35 Let s(f) = -10*f**2 + 18*f - 22. Determine s(1). -14 Let j(g) = 88*g**2 + 133*g. What is j(-1)? -45 Let k(r) = 7*r**2 + 15*r + 60. Give k(-5). 160 Let z(n) = 11*n**3 - 10*n**2 + 3*n - 17. Give z(3). 199 Let y(q) = 225*q - 1569. Calculate y(7). 6 Let q(k) = 15*k**2 - 260*k - 185. What is q(18)? -5 Let z(i) = 67*i - 1834. What is z(27)? -25 Let i(t) = -t**3 - 41*t**2 - 82*t - 186. Determine i(-39). -30 Let g(z) = 2*z**2 + 477*z + 1208. Determine g(-236). 28 Let f(o) = -2*o**3 - 85*o**2 - o - 1857. What is f(-43)? 35 Let z(t) = 2*t - 42. Give z(26). 10 Let r(o) = -2*o**2 + 11*o - 77. Calculate r(13). -272 Let x(d) = 747*d - 140440. Determine x(188). -4 Let z(n) = -155*n + 3731. Calculate z(24). 11 Let o(p) = p**3 + 11*p**2 + 3*p - 27. Give o(-8). 141 Let q(l) = 2*l**2 + 986*l + 9655. What is q(-10)? -5 Let i(o) = 3*o**2 + 195*o + 1194. What is i(-58)? -24 Let s(g) = -g**3 - 39*g**2 + 173*g - 188. Give s(-43). -231 Let l(o) = 47*o**2 + 13*o + 6. What is l(-2)? 168 Let l(i) = 2*i**2 + 237*i - 6512. Give l(23). -3 Let t(p) = -23*p**2 - 17*p + 51. What is t(4)? -385 Let h(r) = r**3 - 46*r**2 + 285*r - 1794. Give h(40). 6 Let y(m) = -1252*m + 6259. What is y(5)? -1 Let u(l) = 58*l - 437. Give u(15). 433 Let f(d) = -d**3 - 23*d**2 + 266*d + 5397. What is f(-25)? -3 Let h(p) = 394*p + 7180. What is h(-18)? 88 Let f(k) = -74*k - 6846. Give f(-93). 36 Let t(k) = 22*k**2 + 38*k + 4. Calculate t(-3). 88 Let n(l) = 166*l - 11123. Give n(67). -1 Let g(x) = 11*x**2 + 547*x - 84. Calculate g(-50). 66 Let w(z) = -z**2 - 9*z + 11. Calculate w(-11). -11 Let v(k) = -k**3 + 8*k**2 + 18*k + 40. Give v(10). 20 Let j(m) = 3*m**2 - 71*m - 260. What is j(29)? 204 Let w(p) = 71*p + 4621. Calculate w(-65). 6 Let k(c) = -c**2 - 15*c - 80. Determine k(-7). -24 Let a(y) = 57*y + 8324. Give a(-146). 2 Let b(x) = -x**3 + 14*x**2 + 24*x + 35. Calculate b(15). 170 Let k(c) = 11*c**2 + 27*c + 27. What is k(-1)? 11 Let k(u) = 15*u - 60. Determine k(-10). -210 Let l(o) = -6*o**2 - 143*o + 60. Give l(-24). 36 Let w(r) = 5*r + 91. Calculate w(-3). 76 Let w(k) = k**2 + 14*k - 3314. What is w(51)? 1 Let a(u) = -u**2 + 16*u + 952. What is a(-23)? 55 Let n(a) = -388*a + 1582. What is n(4)? 30 Let o(c) = -17*c**3 - 98*c**2 + 23*c - 18. What is o(-6)? -12 Let c(m) = -46*m**2 - 677*m - 23. Determine c(-15). -218 Let v(l) = -41*l + 199. Determine v(5). -6 Let w(j) = 3*j**3 - 34*j**2 + 5*j - 10. Calculate w(11). -76 Let a(g) = g**3 - g**2 + 4*g - 13. Calculate a(-4). -109 Let b(o) = o**3 + 31*o**2 - 35*o - 9. Determine b(-32). 87 Let j(o) = -o**2 + 172*o + 1633. Give j(-9). 4 Let x(l) = -343*l + 1469. Give x(4). 97 Let w(d) = -93*d - 464. What is w(-5)? 1 Let g(b) = -18*b - 71. Calculate g(-4). 1 Let q(t) = -2*t**3 + 2*t + 8. Determine q(0). 8 Let i(b) = -3*b + 251. Calculate i(27). 170 Let z(p) = -p**3 - 19*p**2 - 56*p + 67. Determine z(-15). 7 Let t(p) = 30*p**2 + 191*p + 63. What is t(-6)? -3 Let s(k) = -3*k**2 + 87*k + 382. Calculate s(-4). -14 Let g(i) = 19*i**3 + 105*i**2 + 89*i - 17. What is g(-1)? -20 Let m(a) = -a**3 + 29*a**2 + 174*a - 5020. Determine m(29). 26 Let a(l) = 2*l**3 + 143*l**2 - 218*l + 63. Calculate a(-73). -10 Let i(j) = 8221*j + 115105. Determine i(-14). 11 Let b(w) = w**2 + 128*w - 95. Calculate b(-130). 165 Let k(j) = 19*j - 5. What is k(-4)? -81 Let k(z) = 8*z**2 - 154*z + 308. Give k(17). 2 Let x(s) = s**3 - 8*s**2 - 55*s - 5. Give x(-6). -179 Let p(b) = -6*b**3 + 3*b**2 - 7*b - 28. Determine p(-3). 182 Let u(q) = -q**2 - 42*q + 112. Give u(-45). -23 Let k(h) = 60*h**3 - 603*h**2 + 41*h - 112. Give k(10). -2 Let s(r) = 2*r**2 + 131*r + 65
{ "pile_set_name": "DM Mathematics" }
. What is k rounded to the nearest integer? 16 Let x = -747 + 746.999778. What is x rounded to five decimal places? -0.00022 Let d = -541001 + 545443.71. Let o = d - 4475.71132. Let m = -33 - o. Round m to four dps. 0.0013 Suppose 2865 = 2*y - 3*d, -16*y = -11*y + d - 7171. Round y to the nearest 1000. 1000 Let t = 3269 + -2129. Let d = 7 + -7. Suppose 3*y - y - t = d. Round y to the nearest one hundred. 600 Let s = -6946 - -6946.03803. Round s to three dps. 0.038 Let k = 0.2885737 - 0.289. Round k to 4 dps. -0.0004 Let z = 25 - 23.082. Let j = -2 + z. What is j rounded to 2 dps? -0.08 Let o = -1.37 - -1.29. Let h = o + 0.081. Round h to 3 decimal places. 0.001 Let j = 36 - 36.43. Let u = 0.27 - 0.4. Let c = j - u. What is c rounded to 0 decimal places? 0 Let a be 2 - 2 - (5 - 1). Let c(m) = m**2 + 2*m - 2. Let k be c(a). Let i be (-2224)/10 - k/(-15). Round i to the nearest 10. -220 Let v = -0.043 - 7.957. Let g = v - -7.9926. Round g to 3 decimal places. -0.007 Let m = -127 - -64.88. Round m to the nearest integer. -62 Let m = -115.5 + 115.4443. Let y = m - -0.05032. What is y rounded to 3 decimal places? -0.005 Let q = 3.38451 + 0.03499. Let n = -3.33 + q. Round n to 2 dps. 0.09 Let z be ((-286400)/(-48))/(3/(-117)). Round z to the nearest one thousand. -233000 Let o = 987 + -986.9998343. What is o rounded to 5 dps? 0.00017 Let h = -2.819 + 2.7. Let d = h + 0.1424. What is d rounded to 3 dps? 0.023 Let b = 2576 + -2597.66. Let o = b - -21. What is o rounded to 1 dp? -0.7 Let k = -177709.13 + 871.13. Let g = 176852.0019 + k. Let i = g - 14. What is i rounded to three dps? 0.002 Let q = -0.37 + 123.37. Let k = q - 122.9949. Round k to three dps. 0.005 Let t = 9.18 - -0.44. Round t to one decimal place. 9.6 Let c = 16391.998 + -16872. Let s = c - -479. Let k = -0.032 - s. What is k rounded to one dp? 1 Let g = 128294.82560803 - 128294.71. Let x = -152.11481803 + g. Let i = x - -152. Round i to 4 decimal places. 0.0008 Suppose m + 1486335 + 6633665 = 0. What is m rounded to the nearest one hundred thousand? -8100000 Let b = 5.04 - -3.01. Round b to zero dps. 8 Let n = -12544438.15 - -12544332.1499914. Let w = n - -106. What is w rounded to six dps? -0.000009 Let k = -43579609 - -43579620.3559141. Let c = -16.1559114 + k. Let v = 4.8 + c. Round v to 6 dps. 0.000003 Let d = -761 + 760.9998008. Round d to six dps. -0.000199 Let o = -169 - -169.0896. Round o to 3 decimal places. 0.09 Let t be 126 + 0 + 3/3. Suppose -133 = -4*f + t. Round f to the nearest ten. 70 Let c = -75.228 - -19.512. Let z = c + 56. Let s = z + -0.29. What is s rounded to three decimal places? -0.006 Let h = -304.78334901 - -448.7833483. Let k = 144 - h. Round k to seven dps. 0.0000007 Let h = 17460.3 - 15671. Let f = 1796.811 - h. Let r = f - -0.089. Round r to the nearest integer. 8 Let s = 0.01099934 + -0.011. Let z = -0.084 - -0.084. Let a = s + z. Round a to seven dps. -0.0000007 Let y = -7940.000004021 - -7940. What is y rounded to 7 decimal places? -0.000004 Let s = 0.3 + 0. Let d = s + -0.16. Let l = d + -0.176. What is l rounded to two dps? -0.04 Let d = -125 - -127. Let u = d - 7.65. Round u to the nearest integer. -6 Suppose 11 = 4*l - 9. Suppose l*o = 6*o. Suppose d - 5*d + 18800000 = o. What is d rounded to the nearest one million? 5000000 Let x = 240 - 240.905. Let p = x + 0.594. What is p rounded to one decimal place? -0.3 Let j = 5.36 - -0.94. Let s = 5.56 - j. What is s rounded to 1 decimal place? -0.7 Let t = 48.999997276 - 49. What is t rounded to 7 decimal places? -0.0000027 Let g = 2.58 - 104.48. Round g to the nearest ten. -100 Let d = 22 + -31. Let k(r) = -2*r - 12. Let z be k(d). Suppose -20 = -5*y, 0*y + z = -2*m + 2*y. Round m to 1 decimal place. 1 Let b = 10.67 + 55.44. Round b to the nearest ten. 70 Let r(t) be the second derivative of 4375001*t**4/12 + t**3/2 + t**2 - 3*t. Let p be (-3)/(-15) - 11/5. Let u be r(p). Round u to the nearest 1000000. 18000000 Let c = 2845.722443 - -0.147557. Let t = -2846.160262 + c. Let m = t + 0.29. What is m rounded to five decimal places? -0.00026 Let x be ((-435)/(-4))/(3 + 1791/(-600)). What is x rounded to the nearest one hundred? 7300 Suppose -129089645 = -11*k + 266910443. Suppose 2*u = f + 36000002, -u + 4*f = u - k. What is u rounded to the nearest 1000000? 18000000 Let u(w) = -w**2 + 11*w - 10. Let i be u(8). Let j = -10 + i. Suppose 0*f = j*f + 1840. Round f to the nearest one hundred. -500 Let y = -2035125 - -3407640. Let z = 1327485 + y. What is z rounded to the nearest one million? 3000000 Let l = -1919.2446736 - -785.2446213. Let o = 1134 + l. Round o to 5 dps. -0.00005 Let n = -106452 - -106452.319998. Let f = -0.32 + n. Round f to five decimal places. 0 Let l = 0.3 - 0.5. Let z = l + -0.2. Round z to the nearest integer. 0 Suppose 20 = -3*w + 7*w. Suppose -i + 46000001 = w*k, -k + 2*i = -10706479 + 1506481. Round k to the nearest 1000000. 9000000 Let p be (18/12)/(3/8). Suppose 5*y = 5*f - 40, -2*f + 5*y = -6*f - p. Let o(s) = 530000*s. Let t be o(f). Round t to the nearest 100000. 2100000 Let v = -738 + 737.9855. What is v rounded to 1 decimal place? 0 Let q = -1337607 - -1337607.08500078. Let n = q + -0.085. What is n rounded to 7 dps? 0.0000008 Let h = 254 - 254.00367. Round h to 4 dps. -0.0037 Let h = -433937633.40000148 - -433937626. Let k = h + 7.4. Round k to 7 dps. -0.0000015 Let z = 0.18 + -0.182. Let s = z - -0.0020054. What is s rounded to six dps? 0.000005 Let x = 256.0000594 + -256. What is x rounded to 6 dps? 0.000059 Let t(d) = -d**2 + d - 381. Suppose -10 = 2*c + 2*p, 0 = 2*c - 5*c + 4*p + 20. Let s be t(c). Round s to the nearest 10. -380 Let g = 0.216595 + -0.217. What is g rounded to 5 decimal places? -0.00041 Suppose 37*c + 20790000 = -26*c. What is c rounded to the nearest one million? 0 Let d = 35687 + -18887. What is d rounded to the nearest 100? 16800 Let j = -117691542 + 117805685.959. Let y = j + -114098. Let z = y + -46. What is z rounded to 2 dps? -0.04 Let l(w) = w - 590000. Let z be (-1)/(-2) - (-8)/(-16). Suppose -11*p + 9*p = z. Let a be l(p). What is a rounded to the nearest 100000? -600000 Let o = 354128 + -500428. Round o to the nearest 1000. -146000 Suppose 66797 = -2*q - 76041. Let v = q + -3581. What is v rounded to the nearest 1000? -75000 Let c = 0.071 + 0.664. Let u = -0.94 + c. Let x = -0.20589 - u. What is x rounded to four dps? -0.0009 Let j = 0.0754 + 0.3796. What is j rounded to 1 decimal place? 0.5 Let a = 0.005 - -11.995. Let t = 12.0000194 - a. What is t rounded to 6 decimal places? 0.000019 Let n = -3327.1 - -3327.120489. What is n rounded to three dps? 0.02 Let z = 5.278 - 0.318. Round z to 1 decimal place. 5 Let o = -154519 - -154518.925751. Let s = -0.074 - o. What is s rounded to five dps? 0.00025 Let j = 0.64 - 1.1. Let a = j - -0.460392. Round a to 5 dps. 0.00039 Let j = -11.2 + 87.8. Let u = 122.7 - j. What is u rounded to the nearest integer? 46 Let d = 3 + 5. Let l = 91786.4860007 - 91778.486. Let f = d - l. What is f rounded to seven decimal places? -0.0000007 Let m be 1/4*-20 + -2913. Round m to the nearest one thousand. -3000 Let w(p) = -96*p**3 + 4*p**2 - 25*p - 8. Let r be 1/6 + (-49)/6. Let u be w(r). What is u rounded to the nearest 1000? 50000 Suppose 4*k - 2*m = -0*m + 1368400, k - 4*m - 342100 = 0. Round k to the nearest 10000. 340000 Let j = -203 - -142. Let h = j + 60.99918. Round h to four dps. -0.0008 Let f = -569 + 994.8. Let r = f - 386. Let q = r - 27. What is q rounded to zero decimal places? 13 Let k = 5.243 + -0.043. Let y = k + -1.2. Let i = 3.999999 - y. What is i rounded to six dps? -0.000001 Let z = -0.219 + 116.219. Let h = z + -115.99815. Round h to four dps. 0.0019 Let q = 0.14 - 1.54. Let u = 336.504 - 335. Let h = q + u. Round h to two dps. 0.1 Let z = -24759 + 24776.891. Let u = 0.009 + z. Let i = u + -30.6. What is i rounded to the nearest integer? -13 Let y = 74082038.967629374107459 - 1.967629234107459. Let i = -74082033 + y. Let z = -4 + i. What is z rounded to seven dps? 0.0000001 Let h = -279 + 318.2. Let o = h + -38. Let g = -1.193 + o. Round g to 3 decimal places. 0.007 Let m = 48.8 + -8.8. Let s = m + -40.13. Round s to one dp. -0.1 Let n = -4237.2 + 4237.19980421. What is n rounded to 5 dps? -0.000
{ "pile_set_name": "DM Mathematics" }
y - 2*y + 2*y)*(57*y**3 + 2*y + 40 + 42 - 84). 112*y**4 + 4*y**2 - 4*y Expand (-3*n**2 + 2*n**2 + 3*n**2)*(24*n**2 - 9*n**2 + 0*n**2) + 3*n**4 - 4*n**4 + 2*n**4 + (0*n**4 - n**4 + 0*n**4)*(-4 - 22 + 5). 52*n**4 Expand 3*h**5 + 2*h**5 - 44*h**5 + (4*h**4 - 2*h**5 - 4*h**4)*(1 - 3 + 0) + 11*h**4 - 11*h**4 + h**5. -34*h**5 Expand (-38*l**2 - 64*l**2 + 24*l**2)*(0*l**3 - l**3 + 3*l**3). -156*l**5 Expand (3*y**4 + 0*y**4 - 5*y**4)*(15 + 61 - 15) + 3 - 3 + y**4 + (4*y + y**2 - 4*y)*(2 - 2 + y**2) + 0*y**4 + 2*y**4 + 0*y**4. -118*y**4 Expand (0*u**3 - u**3 + 0*u**3)*(32*u - 35*u - 45*u) - 18*u + 5*u**4 + 18*u. 53*u**4 Expand (-5 + 7*p + 5)*(11 - 6 + 2). 49*p Expand (-289 - 61 + 73)*(2*g + g**5 - 2*g). -277*g**5 Expand ((-1 - 1 + 6)*(-h + h + 3*h) + 17*h + 6*h - 3*h)*(2*h**4 + 2*h**4 - 3*h**4). 32*h**5 Expand (3*j**2 + 2*j**4 - 3*j**2)*(-2*j + 2 - 2) + 7*j**2 - 7*j**2 - 4*j**5 - 5*j**5 + 4*j**5 + 0*j**5 + (3*j**3 - 6*j**3 + j**3)*(-2*j**2 - j**2 + 2*j**2). -7*j**5 Expand (-2*o**3 + 0*o**3 + 8*o**3)*(-3 - 1 + 0) + (-2*o + 0 + 0)*(2*o - o**2 + 0*o + 0*o**2). -22*o**3 - 4*o**2 Expand (-3*g - 3*g + 5*g)*(-5*g + 5*g + g) - 3*g**2 + g**2 - g**2 + g**2 + 2*g**2 - g**2 - 5*g + 10*g**2 + 0*g + 6*g + (-3*g + 0*g + 2*g)*(2*g - 4*g + 0*g). 10*g**2 + g Expand (-11280 + 44*o + 11280)*(-4*o - 4*o + 4*o). -176*o**2 Expand ((0 + 0 + j)*(-2 - 1 + 1) - 3*j + 8*j - j - 2*j - 8*j - 2*j)*(3*j**2 - 3*j**2 - j**2). 10*j**3 Expand -3*p**5 + 2*p - 2*p + (-2*p**5 - 4 + 4)*(0 - 1 - 5). 9*p**5 Expand (0 - 5 + 4)*(75*j + 16*j + 3*j). -94*j Expand (-3*f + 3*f + 2*f)*(149 - 59 - 28)*(0*f - 4*f + f + (0 + 0 + 2*f)*(-1 - 2 + 5)). 124*f**2 Expand (-7 + 0 + 1)*(-9 + 9 - 3*w**4). 18*w**4 Expand (2 + 3 - 1)*(0 - k + 0) + 2*k + 3*k - 4*k + (2*k - 1 + 1)*(-2 - 3 + 4). -5*k Expand (5*q + 1 - 1)*(0 + 0 + 2)*(-7*q - 6*q + 22*q). 90*q**2 Expand (-2*z**2 - z**2 + 6*z**2)*(2 - 2 - 1) + z**2 + 0*z**2 + 7*z**2 + 2*z**2 - 2 + 5*z**2 - z**2. 11*z**2 - 2 Expand ((4 - 3 - 3)*(t - 3 + 3) - 1 - t + 1 - t + t + t)*(-114*t + 114*t + 34*t**2 + (-t**2 + t**2 + 2*t**2)*(1 - 2 - 1)). -60*t**3 Expand (0*g - g - g)*(-9319*g - 9322*g + 18643*g + 320). -4*g**2 - 640*g Expand (-3*y**2 - y**2 + 2*y**2)*(44 + 15 + 27)*(-4 + 1 + 2). 172*y**2 Expand (3 + 3*c - 3)*(15 + 17 - 3). 87*c Expand (0*u - 2*u + 4*u)*(-2 + 4 + 0) - 13*u + 14*u - 8*u + 1 - u - 1 - 2*u - 3 + 3 + (3 - 3 + 1)*(u + 3*u - 3*u). -5*u Expand (20*p + 0 + 0)*((2 - p - 2)*(-1 + 4 + 1) - 1 + 2*p + 1). -40*p**2 Expand (-11 - 5 + 6)*(3*g**4 + 8*g**4 - 2*g**4). -90*g**4 Expand -q - q + 3*q - q - 1 + 1 + (17 - 8 + 75)*(0*q - q + 0*q) + 0*q + 2 - 6*q + 4*q. -86*q + 2 Expand 3 - 3 - r**3 + (-2*r**2 + r**2 - r**2)*(r + 2 - 2) + 3*r - 2*r**3 - 3*r + 0*r**3 - r**3 + 3*r**3 + 74*r**3 + 89*r**3 - r - 142*r**3 + 3 - 3 + 2*r**3. 20*r**3 - r Expand (0*i + 0*i + i**2 + (3*i - 3*i + i)*(1 - 1 + 2*i) - 4*i**2 + 0*i**2 + 0*i**2)*(0*i - 3*i - 2*i)*(-2*i**2 - 2*i + 2*i). -10*i**5 Expand (3*p + 13157 - 50*p**3 - p - 13160)*(p**2 - 5*p**2 + 2*p**2). 100*p**5 - 4*p**3 + 6*p**2 Expand -2*v + 0 + 0 + (1 - 1 + 2)*(-v - v - v) + 12 - 3*v - 12 - 3 - v + 3 + (-v + v + 2*v)*(-1 - 2 + 1) - 3*v + 3*v + v. -15*v Expand (4 + 1 - 1)*(0*r - r**2 + 0*r) + (-2 + 2 - 2*r)*(r + 6*r - 3*r). -12*r**2 Expand (-2*r**2 + 2*r**2 + 6*r**2)*(121*r - 121*r - 147*r**2). -882*r**4 Expand 4*p + p - 4*p + (36 + 110 - 1)*(3*p - 5*p + 3*p). 146*p Expand (11*b**3 + 8*b**3 - 4*b**3 + (-b - b + 4*b)*(-3*b**2 + 2*b**2 + 0*b**2) + 0*b**3 + 2*b**3 - b**3)*(b**2 - 18*b + 18*b). 14*b**5 Expand (4*w - 4*w + 7*w)*(3 + 0 - 5) - 12*w + 11*w - 11*w - 14*w. -40*w Expand (400*f - 104*f + 408*f - 74*f - 42*f)*(-2*f + 2*f**3 + 2*f). 1176*f**4 Expand -4*x - 92 + 92 + (-2*x + 4*x - 3*x)*(-3 + 3 - 1) + 37*x - 57*x - 49*x. -72*x Expand (-3*k - 3*k + 5*k)*(46*k - 16*k + 33*k)*(-k + 3*k - 3*k). 63*k**3 Expand y**5 + 2*y**5 - 2*y**5 + (-y**2 - 2*y**2 + 5*y**2)*(-y**2 + y**2 - 2*y**3) - 56*y**5 + 115*y**5 + 73*y**5. 129*y**5 Expand (3 + 13*x + 115*x + 8*x)*(-3 + 4 + 1). 272*x + 6 Expand (3*r**2 - r**2 + r**2)*(4*r**2 - 4*r**2 - r**3) + (r - 5*r + 2*r)*(-3*r**4 + 6*r**4 + r**4) + (3*r**3 - 5*r**3 + 6*r**3)*(3 - r**2 - r**2 - 9). -19*r**5 - 24*r**3 Expand (-3*s + 0*s + s)*(-279 + 425 - 250)*(-4 + 2 + 4). 416*s Expand 3*q**5 - q**5 + 0*q**5 + (1 - 1 + 2*q)*(-17*q**4 + 7*q**4 + 31*q**4) + (2 - 2 - q**3)*(-2*q**2 + 0*q**2 + 5*q**2). 41*q**5 Expand (8*f**2 - 4*f**2 - 4*f + 3 - 2*f**2)*(-11*f**2 - 6*f**2 + 9*f**2). -16*f**4 + 32*f**3 - 24*f**2 Expand ((0*j + 0*j - 2*j)*(-4 + 1 + 2) + 3*j - j - 3*j + (0 + 0 + 2*j)*(-2 + 1 + 2))*(1 - 17 + 2). -42*j Expand (3*p - 3 + 3 + (-2 - 2 + 2)*(-3*p + 3*p - 2*p))*(-3*p**3 + 7*p**3 + 7*p**3). 77*p**4 Expand (86*y - 86*y - 9*y**2)*(-9 + 19 + y - 2*y**2 - 3). 18*y**4 - 9*y**3 - 63*y**2 Expand p**4 + 3*p**4 - 2*p**4 - p**3 + p**3 + 2*p**4 + (1 - 2*p - 1)*(-p - 2*p**3 + p) + 3*p**4 + 3297*p**3 + 2*p**2 - 3297*p**3. 11*p**4 + 2*p**2 Expand (-6*j + 5*j + 9 - 4)*(j + j - 3*j). j**2 - 5*j Expand (-4*v + 7*v + 2*v)*(-2*v**2 + 0*v + 0*v) + (-7 + 7 - 2*v)*(2 + 0*v**2 + 0*v**2 - 2*v**2). -6*v**3 - 4*v Expand ((-9*r + 4*r + 14*r)*(-3 + 3 - 2) - 56*r + 84*r - 59*r)*(-3*r**2 + r**2 + r**2). 49*r**3 Expand (-4*z**3 + 0*z**3 + 3*z**3)*((4 + 3 - 3)*(-13*z**2 + z - z) - z**2 + 2*z**2 - 5*z**2 + 2*z). 56*z**5 - 2*z**4 Expand (60 + 247 - 35)*(1 - 1 + n). 272*n Expand (-d**2 + 4*d**2 - 2*d**2)*(-8*d + 89*d + 101*d) + (1 + 1 - 3)*(4*d**3 - 5*d**3 + 3*d**3). 180*d**3 Expand (19*a**3 + 0*a**3 - 5*a**3)*(8 - 8 - 21) - a**3 + 2*a**2 - 2*a**2. -295*a**3 Expand (k**2 + 4*k - 4*k)*(0*k - k + 5*k + (-1 - 5 + 4)*(2*k + 0*k + k))*(-9*k + k - 3*k - 2). 22*k**4 + 4*k**3 Expand (3*g + 4*g - 1 + 0*g)*(0 + 2 - 1)*(7 + 4 - 4). 49*g - 7 Expand (-3*v - 2 + 2)*(2*v - 2*v - v) + (v - 2 + 2)*(2*v + 1 - 1) + 2*v**2 - v**2 + v**2 + 0*v**2 - v**2 + 3*v**2 + 1063 - 1063 + 20*v**2. 29*v**2 Expand (2 - 183*i + 55*i + 82*i)*(2 - 2 + i**2). -46*i**3 + 2*i**2 Expand (-7 + 4 + 3*c - 1)*(-7 - 7 + 2). -36*c + 48 Expand (2*n - n + 2*n)*(-79*n - 47*n - 76*n + 11*n). -573*n**2 Expand (3 - j - 3)*(18*j**2 - 2 + j + 20*j**2 + 0). -38*j**3 - j**2 + 2*j Expand (1 + 21*d - 17*d - 13*d)*(-1 + 3 - 1). -9*d + 1 Expand (39 - 191 + 0)*(-4*z**2 - 3*z**2 + 5*z**2)*(4*z + 7 - 7). 1216*z**3 Expand (r**3 - 9*r**3 + r**3)*(-3 + 4 - 4). 21*r**3 Expand (-5 + 3 + 1)*(18 + 55 + 74 - 31)*(2*l**4 + 4*l**4 - 2*l**4). -464*l**4 Expand (-2*x + 0*x + 0*x)*(-1 + 2 - 6) + 5*x - x - 8*x + (1 - 4 + 1)*(-x + 3*x - x). 4*x Expand ((-1 - 2 + 1)*(3 - 1 + 0) - 8 + 23 + 17)*(-6*l + l + 7*l). 56*l Expand (1 + 1 - 1)*(2*n**4 + n**3 - 2*n**3 - 56*n + 58*n)*(3*n - 8*n + 2*n). -6*n**5 + 3*n**4 - 6*n**2 Expand (1 + 2 - 1)*(1 - 1 - r**4) + 0*r**4 - 2*r**4 + 0*r**4 + 2*r**4 - 19*r**4 - 6*r**4. -27*r**4 Expand (-1 + 2*k**5 + 1)*(2 - 1 - 2) + 25*k**5 + 79*k - 79*k + 0*k**5 - 53*k + 61*k + 5*k**5. 28*k**5 + 8*k Expand 34*m - 2*m + 33*m - 3*m + 2*m - m + (0 - 4 + 2)*((-2*m + 5*m - 2*m)*(-4 + 1 + 1) - 2*m + 2*m - m - 3 + 3 + 4*m). 61*m Expand (2 - 3 - 1)*(k - 2*k - k) - 3*k - 3*k + 2*k + (-5*k + 0*k + 3*k)*(-1 + 5 - 3) - k + k - 2*k + 2*k - 2*k - 4*k + (4*k - 1 + 1)*(0 - 3 + 1). -16*k Expand -68*t**2 - 9*t**3 + 68*t**2 + 0*t - t**3 + 0*t + (-4*t + 2*t + 0*t)*(4*t**2 - t**2 - t**2) + 12*t - 12*t - 2*t**3. -16*t**3 Expand (3 - 2 - 2)*(-2 + 1 - 1)*(2*g - 3*g + 2*g) - 5 - 166*g + 4 + 230*g. 66*g - 1 Expand (-1 + q + 1)*(-13 + 13 - 50*q**2) + q**3 - 2*q**3 + 4*q**3 + (-5 + 3 + 0)*(-3*q**3 + 4*q**3 + 2*q**3). -53*q**3 Expand (-3*g + 3*g - 9*g**3)*(23*g + 12*g + 8*g). -387*g**4 Expand (2*k**2 + 9*k**2 - 3*k**2)*(3 + 0 - 1)*(0 - 1 - 1)*(-k + 9*k - 3*k)*(-1 - 4 + 3). 320*k**3 Expand ((m + 0*m - 2*m)*(-4 - 3 + 4) - 4*m + 3*m + 6*m)*(14*m**2 + 49*m**2 - 9*m**2). 432*m**3 Expand (5*o - 8 + 8)*(o - 4*o + 4*o)*(0*o + 4*o**3 + 0*o)*(4 - 5 - 10). -220*o**5 Expand 70*s**4 - 40*s**4 + 161*s**4 + 2*s**4 - 2 + 2 + (0*s**2 + 0*s**2 + s**2)*(3*s**2 + s**2 - 2*s**2) + s**4 + 0*s**4 + 0*s**4. 196*s**4 Expand (0 + 3 - 1)*(43 - 29 - 14 - 396*v**4). -792*v**4 Expand ((3 - u - 3)*(-3 + 0 + 2) - 3*u + 4*u - 4*u - 2*u + 12*u + 3*u - 2*u - 4*u + 4*u)*(2*u + 0 + 0)*(-2 - 3 + 6). 18*u**2 Expand ((13 - 13 - 3*t)*(1 - 4 + 1) + 1 - 1 + 2*t + 5*t - 3*t - t)*(-3*t + 3*t + t**2). 9*t**3 Expand ((-2 + 3 + 1)*(2 - 3 - 1) - 3 + 2 - 9)*(3*v - 3*v +
{ "pile_set_name": "DM Mathematics" }
ment from {u: 1, s: 2, k: 1, q: 1, t: 2, a: 1}. 1/168 Three letters picked without replacement from rpzrzpprpppr. What is prob of sequence prp? 1/11 What is prob of sequence qq when two letters picked without replacement from {q: 10}? 1 Calculate prob of sequence gg when two letters picked without replacement from ngfnngjjgg. 2/15 Calculate prob of sequence km when two letters picked without replacement from {u: 1, g: 4, k: 4, m: 1, b: 3, w: 2}. 2/105 Calculate prob of sequence arrj when four letters picked without replacement from {o: 1, j: 3, r: 1, p: 1, a: 1}. 0 What is prob of sequence vzvz when four letters picked without replacement from {z: 9, v: 5}? 60/1001 Four letters picked without replacement from {w: 3, l: 8, p: 5}. What is prob of sequence lwpw? 1/182 What is prob of sequence gx when two letters picked without replacement from {x: 7, g: 2, h: 2}? 7/55 Three letters picked without replacement from {g: 1, w: 3, y: 2, z: 2, d: 4}. What is prob of sequence dwz? 1/55 What is prob of sequence sbdz when four letters picked without replacement from {i: 1, d: 1, z: 1, s: 1, b: 1}? 1/120 What is prob of sequence slsl when four letters picked without replacement from {s: 2, h: 1, l: 4}? 1/35 Two letters picked without replacement from {e: 7, c: 2, a: 11}. What is prob of sequence aa? 11/38 What is prob of sequence ww when two letters picked without replacement from wwjjjwjjwjj? 6/55 What is prob of sequence wmm when three letters picked without replacement from xwmmmwww? 1/14 What is prob of sequence xu when two letters picked without replacement from {u: 2, x: 8}? 8/45 Three letters picked without replacement from {k: 3, b: 15}. What is prob of sequence bbk? 35/272 Two letters picked without replacement from {a: 2, k: 4}. What is prob of sequence ak? 4/15 What is prob of sequence nff when three letters picked without replacement from {f: 3, x: 1, a: 5, n: 4, s: 2, b: 5}? 1/285 Calculate prob of sequence lnss when four letters picked without replacement from {s: 2, n: 2, v: 1, l: 1}. 1/90 Three letters picked without replacement from ovltvld. What is prob of sequence lvd? 2/105 Three letters picked without replacement from {l: 1, i: 1, a: 1, d: 1, b: 1}. Give prob of sequence lai. 1/60 Calculate prob of sequence mfs when three letters picked without replacement from fnmffnfsnnnnv. 1/429 Four letters picked without replacement from zqyzyqqzzyzqqzqqzzz. Give prob of sequence yzzy. 3/646 Two letters picked without replacement from ogiiogoggggoi. Give prob of sequence go. 2/13 Calculate prob of sequence dqd when three letters picked without replacement from {q: 1, d: 19}. 1/20 Two letters picked without replacement from kiwomxx. Give prob of sequence wm. 1/42 Calculate prob of sequence ww when two letters picked without replacement from {b: 13, w: 3}. 1/40 Calculate prob of sequence nhw when three letters picked without replacement from {h: 2, w: 1, q: 2, t: 1, n: 1}. 1/105 What is prob of sequence eeru when four letters picked without replacement from srersuusreueuwureerr? 5/969 Two letters picked without replacement from {p: 2, s: 9, y: 5}. Give prob of sequence yp. 1/24 Calculate prob of sequence qiqq when four letters picked without replacement from dqiidiidiiidqqid. 1/910 Calculate prob of sequence xxx when three letters picked without replacement from {p: 1, b: 1, x: 3}. 1/10 Three letters picked without replacement from wqqpppwppqwgwpgpp. Give prob of sequence qgp. 1/85 Three letters picked without replacement from {z: 1, e: 1, g: 2, v: 2}. Give prob of sequence vze. 1/60 Three letters picked without replacement from aahdqdsaadmdddmha. What is prob of sequence hhd? 1/340 Four letters picked without replacement from jjjjajjajjajjaajaj. Give prob of sequence jjjj. 11/68 Four letters picked without replacement from {s: 1, w: 2, i: 1, e: 2}. What is prob of sequence eiwe? 1/90 Calculate prob of sequence tt when two letters picked without replacement from tyyttttttttttytt. 13/20 Three letters picked without replacement from {k: 3, t: 9, g: 4}. What is prob of sequence kgt? 9/280 What is prob of sequence of when two letters picked without replacement from {s: 1, u: 1, o: 4, f: 1, t: 1}? 1/14 What is prob of sequence uuuu when four letters picked without replacement from uuuuuujujuuujuu? 33/91 Calculate prob of sequence wz when two letters picked without replacement from wwzzqqqw. 3/28 Four letters picked without replacement from {y: 1, u: 3, n: 1, l: 5, w: 3, x: 2}. Give prob of sequence wllw. 1/273 Four letters picked without replacement from {k: 4, z: 10}. Give prob of sequence zzkz. 120/1001 What is prob of sequence cck when three letters picked without replacement from {f: 2, z: 5, c: 3, k: 6, t: 2}? 1/136 What is prob of sequence ublp when four letters picked without replacement from ppppsuplb? 5/3024 Calculate prob of sequence bfim when four letters picked without replacement from jbbffmifjjffffbjfhbf. 1/3230 Four letters picked without replacement from pppfpfffff. What is prob of sequence ffpp? 1/14 Two letters picked without replacement from qqqqyqqyqqyqyqqqqqqy. What is prob of sequence qy? 15/76 What is prob of sequence yuy when three letters picked without replacement from yyyuyuu? 6/35 What is prob of sequence ff when two letters picked without replacement from {x: 2, f: 8}? 28/45 Three letters picked without replacement from {z: 5, s: 1, j: 10, r: 4}. What is prob of sequence jsz? 5/684 What is prob of sequence tt when two letters picked without replacement from pptpppppptpppt? 3/91 Four letters picked without replacement from {h: 1, x: 18}. Give prob of sequence xhxx. 1/19 Two letters picked without replacement from {q: 1, f: 5, n: 1, m: 2}. Give prob of sequence fm. 5/36 What is prob of sequence qv when two letters picked without replacement from mtmqvtttgvxv? 1/44 Three letters picked without replacement from pshkkchzpccc. Give prob of sequence cpk. 2/165 Calculate prob of sequence bb when two letters picked without replacement from {g: 1, r: 1, b: 4, a: 5, v: 3, m: 4}. 2/51 Three letters picked without replacement from vii. Give prob of sequence vii. 1/3 What is prob of sequence dptq when four letters picked without replacement from mptdqpp? 1/280 What is prob of sequence fgwv when four letters picked without replacement from fwjggjv? 1/420 Two letters picked without replacement from {n: 1, z: 1, v: 2, k: 1, x: 1, c: 2}. What is prob of sequence kc? 1/28 Calculate prob of sequence zzp when three letters picked without replacement from zppppppzpzpppzzpzp. 5/68 Calculate prob of sequence sds when three letters picked without replacement from {a: 1, q: 1, d: 1, s: 2, x: 1, p: 1}. 1/105 Calculate prob of sequence px when two letters picked without replacement from pxxpxxpppxxxpxxpppxp. 5/19 What is prob of sequence xg when two letters picked without replacement from {x: 3, g: 2}? 3/10 Calculate prob of sequence ho when two letters picked without replacement from {h: 1, d: 1, u: 1, f: 1, o: 1}. 1/20 Calculate prob of sequence ga when two letters picked without replacement from gasso. 1/20 Calculate prob of sequence bbb when three letters picked without replacement from bbbbbbbbbb. 1 Four letters picked without replacement from {a: 7, o: 4}. What is prob of sequence oaaa? 7/66 Two letters picked without replacement from indynspsidsninnnpii. What is prob of sequence ys? 1/114 Three letters picked without replacement from {a: 1, q: 1, t: 1, w: 3, p: 5}. Give prob of sequence www. 1/165 Two letters picked without replacement from awn. What is prob of sequence wa? 1/6 Two letters picked without replacement from aaauiipivibui. What is prob of sequence ii? 5/39 Three letters picked without replacement from uccncnnnnnccn. What is prob of sequence unc? 35/1716 Calculate prob of sequence jr when two letters picked without replacement from {w: 6, i: 1, k: 1, r: 1, j: 1, g: 1}. 1/110 Calculate prob of sequence lb when two letters picked without replacement from {b: 3, l: 4, i: 2}. 1/6 Four letters picked without replacement from yyjjjjjjyyyyjyyyjyj. What is prob of sequence yjjy? 45/646 Calculate prob of sequence soos when four letters picked without replacement from osoououuusous. 1/143 Three letters picked without replacement from {q: 3
{ "pile_set_name": "DM Mathematics" }
picking 1 s and 2 a when three letters picked without replacement from addisiiaiiiyiidis. 1/340 Calculate prob of picking 1 l and 1 r when two letters picked without replacement from lreellllreelrmelm. 21/136 Two letters picked without replacement from {w: 6, a: 4, b: 5}. What is prob of picking 1 a and 1 b? 4/21 Four letters picked without replacement from stfftttfsfrsftftst. Give prob of picking 2 t and 2 s. 7/170 What is prob of picking 1 a and 1 h when two letters picked without replacement from {g: 1, h: 9, w: 1, a: 5}? 3/8 Three letters picked without replacement from {l: 2, h: 3}. Give prob of picking 2 h and 1 l. 3/5 Four letters picked without replacement from chhhccchhhhc. What is prob of picking 3 h and 1 c? 35/99 Calculate prob of picking 2 y, 1 i, and 1 m when four letters picked without replacement from {i: 1, p: 4, y: 2, m: 6}. 6/715 Calculate prob of picking 4 k when four letters picked without replacement from nkkkkkkk. 1/2 Two letters picked without replacement from jdcdfdcddddc. What is prob of picking 1 c and 1 f? 1/22 Four letters picked without replacement from kehehheee. What is prob of picking 3 h and 1 e? 5/126 Two letters picked without replacement from {f: 10, y: 3, i: 3, t: 2, p: 2}. Give prob of picking 2 i. 3/190 Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {q: 7, b: 2, s: 5, w: 5}. 35/171 What is prob of picking 1 z, 1 g, and 1 w when three letters picked without replacement from dwbbzbgdgbwz? 2/55 Calculate prob of picking 1 a and 1 n when two letters picked without replacement from {n: 1, r: 12, a: 1}. 1/91 What is prob of picking 2 l when two letters picked without replacement from {l: 3, p: 8, w: 7}? 1/51 Two letters picked without replacement from azzazozazgiw. Give prob of picking 1 i and 1 g. 1/66 What is prob of picking 4 d when four letters picked without replacement from ppdddd? 1/15 What is prob of picking 4 u when four letters picked without replacement from huuuuhhtuuuuh? 14/143 Calculate prob of picking 1 f, 1 a, and 1 t when three letters picked without replacement from {p: 4, f: 6, t: 4, n: 1, a: 1}. 3/70 Calculate prob of picking 1 w and 3 r when four letters picked without replacement from rrwriirriwrirwwwrrrw. 48/323 Three letters picked without replacement from ehxhhhhhh. What is prob of picking 2 h and 1 e? 1/4 Calculate prob of picking 1 e and 1 i when two letters picked without replacement from eeeieeieieeeei. 40/91 What is prob of picking 1 m, 1 x, and 1 c when three letters picked without replacement from {g: 1, c: 8, n: 2, x: 1, m: 6}? 1/17 Four letters picked without replacement from {b: 2, q: 2, p: 1, n: 1, x: 2, g: 1}. Give prob of picking 1 n, 1 p, and 2 x. 1/126 Calculate prob of picking 1 a and 1 x when two letters picked without replacement from aaax. 1/2 Four letters picked without replacement from iiuiiuiiuiiuiiuiiiu. Give prob of picking 4 i. 715/3876 What is prob of picking 1 s and 3 a when four letters picked without replacement from {s: 2, a: 9, t: 1, i: 1}? 168/715 Three letters picked without replacement from {n: 2, x: 6, i: 9}. What is prob of picking 2 i and 1 x? 27/85 Three letters picked without replacement from meddtly. What is prob of picking 1 t and 2 d? 1/35 What is prob of picking 4 b when four letters picked without replacement from ggbbbggbbb? 1/14 Three letters picked without replacement from {k: 2, w: 8}. What is prob of picking 2 k and 1 w? 1/15 What is prob of picking 1 j, 1 r, and 1 k when three letters picked without replacement from pphprppkppjjkhkpmh? 1/136 Two letters picked without replacement from vlrrvvvrww. Give prob of picking 1 r and 1 w. 2/15 Three letters picked without replacement from {v: 4, s: 14}. Give prob of picking 1 v and 2 s. 91/204 Two letters picked without replacement from ytuiuuuj. Give prob of picking 2 u. 3/14 What is prob of picking 1 w and 3 a when four letters picked without replacement from vayaayayaw? 1/21 Calculate prob of picking 1 o and 2 f when three letters picked without replacement from {o: 4, f: 5, h: 1, a: 8}. 5/102 Calculate prob of picking 1 a, 2 n, and 1 k when four letters picked without replacement from iiirkkaiiaikkan. 0 What is prob of picking 1 c, 1 s, and 2 j when four letters picked without replacement from jxbsjhscc? 2/63 What is prob of picking 3 l when three letters picked without replacement from gggtggggglgtlgglg? 1/680 Calculate prob of picking 4 z when four letters picked without replacement from jzzzzjxzzxzjjjjjzzx. 21/646 Calculate prob of picking 2 r when two letters picked without replacement from rrrhrrrrrrhrr. 55/78 Three letters picked without replacement from vvvbfvbvunvbubf. Give prob of picking 1 v, 1 n, and 1 f. 12/455 Calculate prob of picking 3 x when three letters picked without replacement from {a: 3, x: 13}. 143/280 What is prob of picking 2 p when two letters picked without replacement from ypyvpopyppy? 2/11 Two letters picked without replacement from {e: 2, v: 4, z: 8, x: 5}. What is prob of picking 2 z? 28/171 What is prob of picking 1 h and 1 y when two letters picked without replacement from yghgoroggoogghgog? 1/68 What is prob of picking 2 y when two letters picked without replacement from {n: 1, y: 11, e: 6}? 55/153 Two letters picked without replacement from quqquuquzu. What is prob of picking 1 q and 1 z? 4/45 Three letters picked without replacement from wwgghhghbhgwwhg. Give prob of picking 1 w, 1 b, and 1 h. 4/91 Two letters picked without replacement from {o: 4, a: 2, v: 2}. Give prob of picking 2 v. 1/28 Three letters picked without replacement from ababbababbba. What is prob of picking 2 b and 1 a? 21/44 Calculate prob of picking 1 e and 2 h when three letters picked without replacement from shssshhseh. 1/20 What is prob of picking 3 i when three letters picked without replacement from {n: 4, g: 1, i: 5, q: 1, r: 1}? 1/22 Four letters picked without replacement from {t: 1, m: 5, k: 1, z: 1, u: 1, l: 5}. Give prob of picking 2 l, 1 z, and 1 u. 10/1001 Calculate prob of picking 2 i and 1 v when three letters picked without replacement from sshiuvvhivvhvsvu. 3/280 What is prob of picking 1 r and 1 z when two letters picked without replacement from trdtzzqzzqdr? 4/33 Calculate prob of picking 2 g and 2 k when four letters picked without replacement from ggggkggggggkggggggg. 2/57 Calculate prob of picking 2 d when two letters picked without replacement from dndkndnndd. 2/9 Two letters picked without replacement from wwmwyymmw. Give prob of picking 2 m. 1/12 What is prob of picking 2 n and 2 g when four letters picked without replacement from gvgnngg? 6/35 Calculate prob of picking 2 b when two letters picked without replacement from {b: 3}. 1 Two letters picked without replacement from hhffffffhfgqgffq. Give prob of picking 2 q. 1/120 Four letters picked without replacement from {c: 1, q: 7, k: 6, e: 5}. Give prob of picking 3 q and 1 e. 175/3876 Two letters picked without replacement from {n: 3, o: 3}. What is prob of picking 1 o and 1 n? 3/5 Three letters picked without replacement from jsjsjjsxjxx. Give prob of picking 3 j. 2/33 What is prob of picking 1 t, 1 o, and 1 x when three letters picked without replacement from omxattc? 2/35 Calculate prob of picking 1 v and 1 s when two letters picked without replacement from svhvhvuhyfvyhhs. 8/105 Two letters picked without replacement from hvtdhuuuhtvbthhhv. Give prob of picking 1 h and 1 v. 9/68 What is prob of picking 2 d and 2 j when four letters picked without replacement from didwjwdimdjdijd? 3/91 Three letters picked without replacement from xggxvxgxgvxxvxxx. What is prob of picking 3 x? 3/20 What is prob of picking 1 e and 1 l when two letters picked without replacement from llcleellcclcc? 2/13 Three letters picked without replacement from czccccccccczzccczzc. What is prob of picking 2 c and 1 z? 455/969 What is prob of picking 2 n and 1 y when three letters picked without replacement from nanffabytftbtaa? 1/455 What is prob of picking 1 t, 2 b, and 1 u when four letters picked without replacement from tttuwwetttebwt? 0 Calculate prob of picking 3 l when three letters picked without replacement from {l: 5, t: 1, w: 5}. 2/33 Three letters picked without replacement from wqwq
{ "pile_set_name": "DM Mathematics" }
True Does 205 divide 10963? False Is 57 a factor of 1596? True Is 76736 a multiple of 44? True Is 29556 a multiple of 9? True Is 205 a factor of 10722? False Is 51 a factor of 3919? False Is 11932 a multiple of 76? True Is 705 a multiple of 5? True Is 16 a factor of 4448? True Does 13 divide 2490? False Is 128 a factor of 547? False Does 53 divide 159? True Does 41 divide 697? True Does 101 divide 6565? True Is 1383 a multiple of 42? False Does 15 divide 16394? False Does 116 divide 232? True Is 19 a factor of 1292? True Is 70169 a multiple of 11? True Is 76194 a multiple of 34? True Does 3 divide 5231? False Is 14 a factor of 33264? True Is 108 a multiple of 18? True Is 345 even? False Is 11 a factor of 1107? False Does 114 divide 290? False Does 3 divide 204? True Is 27 a factor of 3857? False Does 35 divide 6930? True Is 1098 a multiple of 50? False Does 4 divide 21843? False Is 25 a multiple of 25? True Does 23 divide 1173? True Is 6570 a multiple of 73? True Is 82 a factor of 8528? True Is 20 a factor of 790? False Is 95 even? False Is 58299 a multiple of 35? False Is 528 a multiple of 7? False Does 49 divide 65072? True Is 8 a factor of 11872? True Does 84 divide 252? True Is 12 a factor of 1728? True Does 59 divide 12567? True Is 198 a multiple of 33? True Is 2444 a multiple of 26? True Is 2 a factor of 131? False Is 19 a factor of 42218? True Is 3187 a multiple of 51? False Is 108 a factor of 36384? False Is 11 a factor of 15497? False Is 23 a factor of 109? False Does 9 divide 405? True Is 2550 a multiple of 14? False Is 2750 a multiple of 50? True Does 8 divide 60872? True Is 6160 a multiple of 22? True Does 107 divide 69246? False Is 6272 a multiple of 32? True Does 7 divide 1654? False Does 75 divide 24988? False Does 57 divide 4169? False Does 3 divide 40? False Is 934 a multiple of 3? False Does 18 divide 2376? True Is 5 a factor of 775? True Is 6672 a multiple of 22? False Is 5577 a multiple of 28? False Does 32 divide 21118? False Does 10 divide 32640? True Does 81 divide 2106? True Is 17760 a multiple of 111? True Is 624 a multiple of 6? True Does 5 divide 540? True Is 48630 a multiple of 30? True Is 20 a factor of 7960? True Is 25 a factor of 2450? True Is 32 a factor of 4416? True Is 15 a factor of 796? False Does 25 divide 7074? False Is 34734 a multiple of 26? False Is 206 a multiple of 4? False Is 25890 a multiple of 10? True Is 405 a multiple of 21? False Is 85 a factor of 2458? False Is 386 a multiple of 12? False Is 73 a factor of 5694? True Is 540 a multiple of 60? True Is 4868 a multiple of 4? True Is 25 a factor of 3660? False Is 12 a factor of 2100? True Is 26 a factor of 37752? True Does 129 divide 9675? True Is 62 a factor of 22320? True Does 82 divide 2214? True Is 3360 a multiple of 32? True Is 345 a multiple of 5? True Does 9 divide 11962? False Does 43 divide 2900? False Is 12 a factor of 9194? False Is 12 a factor of 3588? True Is 33 a factor of 3201? True Does 2 divide 9245? False Is 52769 a multiple of 17? False Is 7805 a multiple of 35? True Does 12 divide 1140? True Is 33856 a multiple of 10? False Is 528 a multiple of 132? True Does 13 divide 5844? False Is 7 a factor of 161? True Is 13 a factor of 619? False Does 12 divide 1130? False Does 10 divide 30140? True Is 8 a factor of 1072? True Does 69 divide 3038? False Is 12 a factor of 24351? False Does 7 divide 217? True Is 59 even? False Is 6 a factor of 1230? True Is 7418 a multiple of 96? False Does 29 divide 290? True Is 31 a factor of 54103? False Is 41364 a multiple of 27? True Is 105 a factor of 13848? False Is 130 a multiple of 2? True Does 12 divide 2534? False Is 8 a factor of 1548? False Is 6468 a multiple of 33? True Is 18 a factor of 3564? True Is 86 a factor of 4042? True Is 20 a factor of 8775? False Is 4440 a multiple of 74? True Is 1497 a multiple of 320? False Is 9 a factor of 1116? True Does 18 divide 830? False Is 76673 a multiple of 7? False Does 76 divide 1763? False Is 435 a multiple of 3? True Does 5 divide 24? False Is 160 a multiple of 5? True Does 257 divide 17527? False Is 177 a factor of 38440? False Does 6 divide 615? False Is 12904 a multiple of 10? False Is 8 a multiple of 8? True Is 22204 a multiple of 8? False Is 4 a factor of 1754? False Is 1184 a multiple of 32? True Does 7 divide 2721? False Is 16 a factor of 6704? True Is 7 a factor of 238? True Is 3128 a multiple of 34? True Is 61 a factor of 34357? False Is 87 a factor of 5558? False Does 52 divide 52? True Is 15631 a multiple of 7? True Does 6 divide 6696? True Is 1380 a multiple of 138? True Does 17 divide 629? True Does 11 divide 646? False Does 21 divide 3591? True Does 30 divide 9212? False Is 21 a factor of 126? True Is 36 a multiple of 8? False Is 258 a multiple of 2? True Does 14 divide 1960? True Is 4 a factor of 368? True Is 1716 a multiple of 143? True Is 24 a factor of 3264? True Is 612 a multiple of 58? False Is 15 a factor of 86295? True Does 22 divide 1297? False Does 64 divide 2182? False Is 48 a factor of 48277? False Is 55 a multiple of 11? True Is 4492 a multiple of 6? False Is 96 a multiple of 9? False Is 5 a factor of 407? False Does 9 divide 860? False Is 192 a factor of 72247? False Is 52 a factor of 3019? False Is 53 a factor of 21147? True Does 4 divide 683? False Is 49 a factor of 8383? False Does 11 divide 1416? False Does 9 divide 22576? False Is 26446 a multiple of 242? False Is 160 a factor of 93579? False Is 20 a factor of 4025? False Is 40833 a multiple of 9? True Does 12 divide 852? True Is 106 a factor of 20776? True Does 39 divide 3910? False Is 14 a factor of 30897? False Is 30 a factor of 40043? False Is 56 a factor of 836? False Is 24 a factor of 3296? False Is 11 a factor of 297? True Is 7784 a multiple of 202? False Is 2 a factor of 1063? False Is 2 a factor of 155? False Is 1300 a multiple of 20? True Does 20 divide 62303? False Is 192 a multiple of 48? True Is 26 a factor of 106522? True Does 37 divide 2637? False Does 22 divide 38293? False Is 17 a factor of 106? False Is 1247 a multiple of 43? True Is 76035 a multiple of 15? True Does 13 divide 8996? True Is 216 a multiple of 54? True Is 73 a factor of 5042? False Does 13 divide 9893? True Is 10696 a multiple of 191? True Does 52 divide 16875? False Is 16 a factor of 670? False Is 6 a factor of 5301? False Is 2015 a multiple of 38? False Is 2784 a multiple of 8? True Does 108 divide 997? False Is 50 a factor of 4970? False Is 326 a multiple of 18? False Is 159 a factor of 7792? False Does 10 divide 18844? False Is 3096 a multiple of 4? True Is 436 a multiple of 218? True Is 1012 a multiple of 22? True Is 19 a factor of 1891? False Does 62 divide 806? True Does 6 divide 578? False Does 3 divide 3882? True Is 18 a factor of 504? True Is 5 a factor of 26345? True Is 2581 a multiple of 4? False Does 42 divide 7350? True Is 1796 a multiple of 81? False Does 157 divide 6075? False Does 48 divide 384? True Is 198 a factor of 87793? False Is 13 a factor of 2329? False Does 12 divide 19? False Is 56 a factor of 1008? True Is 35712 a multiple of 279? True Is 6016 a multiple of 94? True Is 2727 a multiple of 55? False Is 849 a multiple of 7? False Is 65 a factor of 1073? False Is 51 a factor of 492? False Is 19 a factor of 836? True Is 2464 a multiple of 59? False Does 28 divide 2268? True Is 9 a factor of 40131? True Is 1230 a multiple of 53? False Is 60 a multiple of 10? True Is 32 a factor of 448? True Does 110 divide 2090? True Is 268 a multiple of 8? False Is 5692 a multiple of 12? False Does 62 divide 28210? True Is 14 a factor of 66? False Does 35 divide 2445? False Is 4002 a multiple of 29? True Does 10 divide 650? True Is 3 a factor of 483? True Is 2610 a multiple of 61? False Does 22 divide 253? False Is 3 a factor of 682? False Does 5 divide 60? True Does 17 divide 243? False Is 31 a factor of 2861? False Does 15 divide 3333? False Is 2975 a multiple of 119? True Is 81872 a multiple of 172? True Is 22 a factor of 4378? True Is 5369 a multiple of 6? False Does 39 divide 702? True Is 979 a multiple of 11? True Does 10 divide 748? False Is 30 even? True Is 6 a factor of 31386? True Does 13 divide 1417? True Is 150 a multiple of 15? True Is 2345 a multiple of 11? False
{ "pile_set_name": "DM Mathematics" }
nder when g is divided by 20. 18 Suppose -5*z + 3*b - 45 = 0, -2*z - b + 3 = 10. Let n = z + 10. Suppose -n*j + 0*j + 152 = 0. Calculate the remainder when j is divided by 20. 18 Let f(k) = -k - 12. Let z be f(-11). Let u(g) = 3*g**2 - 2*g - 1. What is the remainder when 13 is divided by u(z)? 1 Let m(i) = i**3 - 8*i**2 + 11*i - 8. Suppose 9*o - 8*o - 8 = 0. Let v be (-3)/12 - (-58)/o. Calculate the remainder when 38 is divided by m(v). 18 Let b(z) be the first derivative of 3*z**2 + 6*z + 6. Calculate the remainder when b(2) is divided by 5. 3 Let v(g) = -2*g + 3*g + 11 - 4*g + 2*g. Calculate the remainder when 20 is divided by v(4). 6 Let p = -41 + 49. What is the remainder when 43 is divided by p? 3 Let u(a) = -6*a - 9. Suppose -r = -3*x - 2*r - 19, 0 = -2*x + 4*r - 8. What is the remainder when u(x) is divided by 14? 13 Let t(k) = k**3 + 3*k**2 - k - 3. Let s be t(-3). Calculate the remainder when (-6)/(-3) + s - -17 is divided by 7. 5 Let s(k) = -37*k + 1. Let j be s(-4). Suppose -5*x - 5*y + j = -y, -x + 2*y + 41 = 0. Calculate the remainder when x is divided by 9. 6 Suppose -3*n = -2*n + 60. Let p = 114 + n. Calculate the remainder when p is divided by 28. 26 Suppose 0 = -5*k - 20, 0 = q - 3*q + k + 12. Suppose 4 = q*f - 40. What is the remainder when 20 is divided by f? 9 Suppose -4*f - 1 + 21 = 0. Suppose 10*p = f*p + 165. What is the remainder when p is divided by 17? 16 Suppose 5 + 35 = 2*i. Calculate the remainder when i is divided by 7. 6 Let q be 2/(-8) - (-39)/12. Suppose 15 - 3 = q*p. Calculate the remainder when (-23)/(-2) - p/8 is divided by 6. 5 Let c = -68 + 130. Suppose 2*k = f + 46, 2*f = 3*k - 3*f - c. What is the remainder when k is divided by 9? 6 Let k = -26 + 148. Calculate the remainder when k is divided by 32. 26 Suppose 0 = -4*n + 15 + 1. Let h be n/(-5)*(-470)/4. Suppose -h + 26 = -2*k. What is the remainder when k is divided by 12? 10 Let r(q) = 2*q**2 - 10*q + 15. Calculate the remainder when r(6) is divided by 15. 12 Let z(j) = 7*j - 4 + 4*j - 1 - 2*j. What is the remainder when z(5) is divided by 14? 12 Suppose -2*q + 20 = -5*d + 4, -q + 3*d = -7. What is the remainder when 64 is divided by q? 12 Suppose -2*n = -19 - 23. Calculate the remainder when 61 is divided by n. 19 Suppose -4*r - 10 = -2*s, -3*s + 3*r + 11 = 2*s. Let h = -2 - -4. Suppose -l = h*l - 6. What is the remainder when l is divided by s? 0 Suppose 0*f - 2*f + 150 = 0. Suppose -2*o - 5 + f = 0. Let y = o - 16. Calculate the remainder when y is divided by 5. 4 Suppose -4 - 2 = 2*b, -5*a + 4*b = -82. Calculate the remainder when 40 is divided by a. 12 Let u(t) = 13*t + 6. Let v be 2*(2 + 2/(-4)). What is the remainder when u(v) is divided by 12? 9 Suppose 6*v = -0*v + 126. Calculate the remainder when 61 is divided by v. 19 Suppose -9*y + 399 = 57. What is the remainder when y is divided by 20? 18 Let l(p) = 2*p + 1. Let h be l(-4). Let u = 0 - h. Suppose 2*a = -3*w + 17, 2*a + 0 - 2 = 2*w. Calculate the remainder when u is divided by w. 1 What is the remainder when 75 is divided by (48 + -42)*(16/6 - 0)? 11 Suppose 3*s - 4*p = 35, -2*s = 3*p + 6 - 1. Suppose 4*g - 83 = -5*o - 0*o, 0 = -s*g - 3*o + 94. Calculate the remainder when 66 is divided by g. 15 Suppose -5*x = -3*v + 20, 2*v - 4*x = -x + 13. Suppose v*c = 13 + 2. What is the remainder when 5 is divided by c? 2 Let y(s) = s**2 + s - 9. What is the remainder when 95 is divided by y(6)? 29 Suppose -2*q = -3*p + 23, q + 35 = -4*p + 84. Let x(n) = -2*n**3 - 3*n**2 + 3*n + 2. What is the remainder when x(-3) is divided by p? 9 Suppose -4*t = -5*y - 5, 5*t + 5 = -4*y - y. Suppose n - 10 = -t. Let l = -24 + 43. Calculate the remainder when l is divided by n. 9 Let w(t) = -t + 16. Calculate the remainder when 35 is divided by w(7). 8 Suppose -1505 = -0*m - 4*m + v, 3*m - 2*v = 1135. Let q(i) = 2*i**2 - 4*i - 3. What is the remainder when (-4)/6*m/(-10) is divided by q(-2)? 12 Let f be 169/5 - (-2)/10. Let t = -25 + f. Calculate the remainder when t is divided by 3. 0 Let u = -7 - -11. Let z = u + 0. What is the remainder when (1 + 0 + 5)*1 is divided by z? 2 Suppose 4*u - 18 = 3*n + 62, n - 5*u + 34 = 0. Let l = -9 - n. What is the remainder when 43 is divided by l? 13 Let t be ((-12)/(-18))/(2/78). Let u = t - 10. Suppose -u = -2*c + 5*h + 13, 2*h + 2 = -4*c. Calculate the remainder when 3 is divided by c. 1 Suppose 0*a = -3*a + 33. Let n(p) = -20*p**3 + 3*p**2 + 2*p. What is the remainder when n(-1) is divided by a? 10 Suppose -7*v = -3*v - 12. Suppose -2*o = -o - v. Calculate the remainder when o is divided by 3. 0 Suppose -m - 3*u = -5*m + 686, -4*u + 181 = m. What is the remainder when m is divided by 22? 19 Let b be (-2)/(-5) + (-39)/(-15). What is the remainder when 9 + 0 + (-1 - -1) is divided by b - (0 + 1 + -3)? 4 Let h = 21 - 4. Calculate the remainder when h is divided by 5. 2 Suppose 5*r - 77 - 18 = 0. What is the remainder when 36 is divided by r? 17 Suppose -5 = -2*w + 35. What is the remainder when w is divided by 7? 6 Let a = 10 + 2. What is the remainder when a is divided by 3? 0 Let k(l) = -l**2 + 7. Let w be k(5). Let q = 31 + w. What is the remainder when 35 is divided by q? 9 Let j(m) = 3*m**2 - 10*m + 13. What is the remainder when j(6) is divided by 16? 13 Suppose 3*j = 4*j - 147. What is the remainder when j is divided by 50? 47 Suppose 4*k = -4*g + 468, k + 220 + 238 = 4*g. Calculate the remainder when g is divided by 29. 28 Let o(h) = -h**3 - 8*h**2 + 4*h + 11. Let m be o(-8). Let d = -10 - m. Calculate the remainder when 19 is divided by d. 8 Suppose -4*g - 5 + 25 = 0. Suppose -5*z = g*o - 5, 6 + 3 = 4*z + 3*o. Calculate the remainder when 21 is divided by z. 3 Suppose 6 = 2*q - 0*q, -3*q - 42 = -o. Let s = 38 - 25. Calculate the remainder when o is divided by s. 12 Let z(s) = -4*s - 16. Calculate the remainder when 22 is divided by z(-7). 10 Suppose -4*h + 17 = -103. Let s = -23 - -11. What is the remainder when h is divided by 5/20 + (-189)/s? 14 Let n(r) = -r + 34. What is the remainder when 56 is divided by n(4)? 26 Suppose -2 = -2*a + 2. Let o be a/3 - (-16)/(-24). Suppose o*i = 4*i - 48. Calculate the remainder when 23 is divided by i. 11 Let v = 26 - -13. What is the remainder when v is divided by 20? 19 Let t = 45 + -32. What is the remainder when 33 is divided by t? 7 Calculate the remainder when 59 is divided by 2*(-21)/12*(-12)/2. 17 Suppose -2*b + 0 = 16. Let t = -7 - b. Calculate the remainder when 2 is divided by t. 0 Let b(w) be the third derivative of 0 + 0*w + w**2 + 1/24*w**4 + 5/3*w**3. Calculate the remainder when 29 is divided by b(0). 9 Let a(s) = -2*s + 1. Let u be a(3). Let h(c) = -c + 2. Calculate the remainder when 3/(-3 + 210/65) is divided by h(u). 6 Suppose -14 = w - 3*w. Let x = -2 - -29. What is the remainder when x is divided by w? 6 Suppose 4*i - 6 = 50. What is the remainder when 55 is divided by i? 13 Suppose t + a - 10 = 3*a, 0 = -2*t - 2*a + 20. Let o be (3 + -15)/2*109. What is the remainder when (-2)/(-3) - o/18 is divided by t? 7 Suppose 34 = 5*n - 46. Let q(o) = -o**3 - 12*o**2 + 11*o - 17. Calculate the remainder when n is divided by q(-13). 7 Suppose -14*i = 5*i - 988. Calculate the remainder when i is divided by 18. 16 Let u(m) = -m**3 - 14*m**2 + 13*m - 25. Calculate the remainder when 24 is divided by u(-15). 4 Suppose 2*k + 3*k - 75 = 0. What is the remainder when 44 is divided by k? 14 Suppose t + l + 0*l = 7, 2*t + 1 = 3*l. Suppose 0 = -w + 6*w - 65. What is the remainder when w is divided by t? 1 Suppose -4*y = c + 34, -c = -3*y + 1 - 2. What is the remainder when -3 - 2*c*3 is divided by 21? 18 Let a(o) = o**3 + 7*o**2 + 8. What is the remainder when a(-7) is divided by 3? 2 Let t(g) = -g**3 - 14*g**2 - 3*g - 19. What is the remainder when t(-14) is divided by 13? 10 Let z(b) = 9*b - 1. Calculate the remainder when 49 is divided by z(3). 23 Suppose 3*p - 6*p = 3*v - 108, -2*v - 5*p = -81. What is the remainder when 64 is divided by v? 31 Let g(k) = 4*k + 4*k**2 + 4*k**3 - 3*k**3 - 1 - 11*k. Suppose 5*m = x - 30, 3*m + 16 = 5*x - 24. Calculate the remainder when g(m) is divided by 5. 4 Let k = 26 - 20. Suppose -20 = -c + 3*h, -5*c + 2*c + 5*h = -48. Calculate the remainder when c is divided by k. 5 Let x(c) = -c**3
{ "pile_set_name": "DM Mathematics" }
s the value of 30/200*121260/423? 43 What is the value of 741/(-4275) - (14894/1650 + -9)? -1/5 Evaluate -11 + (1612/(-248))/(3 - 2)*2. -24 Calculate (-45)/(-21)*81141/23865. 51/7 -19 + (-2)/2 + (141 - (-513875)/(-4250)) 3/34 Calculate (183 - 204)*(-2044)/(-588). -73 (-28 - (-4558)/159)/(-3 - -5) 1/3 Calculate (((-1794)/(-36))/(-13) - 3) + 50 + -24 + -20. -5/6 What is (2/(-44))/((-1855)/693770)? 17 14/((2/16)/((-294)/(-2520) + (-4)/(-30))) 28 Evaluate (-1)/(16/(-320)) - (11/((-33)/9) - 4). 27 Calculate (482/(-1687) - ((-39)/(-52) - (-158)/(-112)))*10. 15/4 What is (27 + (-1242)/45)/((-57)/(-475))? -5 What is the value of 78760/1920 - 2/96? 41 What is the value of (-5940)/90 + 15 + 55? 4 Evaluate 50/(-1025) - (28972/(-2214) - -13). 1/27 What is ((-27536)/(-17210))/(8/430)? 86 Calculate 3/153*-6*(86/(-52) + 2/13). 3/17 Calculate 5*((-123)/(-164) - 13*(-28)/(-80)). -19 Calculate 2098542/925407 + (-32)/14. -2/111 What is 3/2*528/(-4488)? -3/17 What is the value of (-115)/(-2) - ((-15)/(-6) - -7 - 2142/306)? 55 Evaluate (42 - (-6219)/(-148))*-4. 3/37 Evaluate 32/(-8256)*4*24/8. -2/43 Calculate (-1870)/510*360/(-44). 30 Calculate (-6 + (-126)/(-16))*(-110)/(-275)*-2. -3/2 What is (-33)/9 - (-13 + (-4112)/(-168) - 22)? 48/7 Evaluate (-598 + 590)*(61/(-9) + 20/(-90)). 56 Evaluate (222/8)/((-7804)/15608). -111/2 82/((-227304)/(-324))*(-14)/(-6) 3/11 180*(24/144)/((-125)/90) -108/5 Evaluate (-746)/9698*(5 + 48/(-10)). -1/65 What is (950/76)/(420/56)? 5/3 24/710*5750/(-3450) -4/71 Calculate -18*(192/(-261) - 192/(-2784)). 12 Evaluate 11 + (35/(-21) + 1 - -23*(-247)/546). -1/14 Calculate -1*2/(-4)*((-2)/23)/(191 - 194). 1/69 Calculate (-6)/(-39)*(((-2)/24 - 10) + 20/2). -1/78 Calculate 1332/(-3108)*(-665)/(-15). -19 What is 76/20 + 496/(-9920)? 15/4 What is 42/28 + ((-16)/(-20) - (222/(-60) - 8))? 14 (-180)/(-12) + -11 - ((-6)/16 + (-10160)/(-1152)) -40/9 Calculate 12 - (-3 + (-6)/9 + ((-27630)/(-351))/5). -1/13 Evaluate (7 - (-240)/(-35))/((248/31)/1064). 19 1*176*1*(-22613)/(-90452) 44 Calculate (-814)/(41 - 4) + 8. -14 Calculate (23856/4970)/(16/50). 15 (-8 + (-736)/(-112))*91/78 + 771/441 4/49 Calculate (-31*(-231)/3069)/(42/234). 13 What is (-139)/(-52) + (-128)/(-1664)? 11/4 What is ((-216)/(-90))/(28/(1624/(-87)))? -8/5 Evaluate (-86 + 15 + (-6)/(-1 + -1))*1576/(-6304). 17 Evaluate 8720/15260 + (-346)/(-7). 50 What is the value of 1*(-4)/56 + 17298/(-8680)*10? -20 What is the value of (10530/(-350) - (-2)/7) + 84/105? -29 Calculate (-3948)/(-29610)*(2/(-5) + (-1098)/(-20)) - 7. 4/15 Evaluate (48 - (-984)/(-21))/(46/1771). 44 What is ((-1)/5)/(14413/(-2485))? 1/29 What is the value of (5 + 117/(-24))/(354/(-48) + 13)? 1/45 ((-1420)/(-225))/(126/630) - ((-4)/9 + 0) 32 ((-66)/(-10) - 4)/((4 + (-90)/25)/2) 13 Evaluate (7/(-105)*5)/(59/(-10266)). 58 1386/(-4851)*1/(20/(-112)) 8/5 What is ((-38)/4 - 0)/(1957/3914)? -19 Evaluate (280/49)/10 - 8814/4914. -11/9 What is the value of (3*3/8)/(-167 - -150 - (-89)/4)? 3/14 What is the value of ((-1)/15)/(459/(-729) + (-4)/108)? 1/10 What is the value of 0*((-2)/16)/((-199)/796)? 0 Evaluate (-5018*(-82)/(-3198))/(32/(-6)) + -23. 9/8 What is the value of ((-45)/72)/(7/2*(-365)/(-1022))? -1/2 Evaluate 43/(-63) - (540/972 + 6/(-9)). -4/7 4/(20 - (-14688)/(-729)) -27 Evaluate (-190)/7 - (10 + -71 - -35). -8/7 What is (217/(-124))/(9 - 5680/(-128))? -2/61 Calculate ((-28)/(-182))/((-1)/(-12) - (-5565)/1908). 2/39 What is ((-324)/135)/(-7 - (-136)/20) - -17? 29 What is the value of -169 + 6 - (-51760)/3235? -147 Calculate -16 + (2/24 - (-11966)/(-744)). -32 Calculate (-5)/(-15) + (2975/30)/7. 29/2 Calculate (3/(-9))/(12/32)*12*(-33)/792. 4/9 What is the value of (37 - (-49914)/(-5400)*4)/((-12)/10 + 1)? -2/15 What is ((-3864)/(-5152))/(165/(-4))? -1/55 1*((-18600)/651 - -34) 38/7 (-4495)/(-3100) - -2*3/(-5) 1/4 -11*40/132 - 670/(-200) 1/60 What is (23 - (-22275)/(-2781)) + 165/(-11)? -1/103 Evaluate 2400/360*-6*(-2)/(-64)*(-2)/(-15). -1/6 What is the value of (10258/322 - 37)/3? -12/7 Calculate (-20)/(-215) + (-508926)/(-10406). 49 (3/21 - 22/(-42))/(2216/40719) 49/4 What is the value of 50/((-6000)/(-477)) + -4? -1/40 What is the value of ((-732)/(-1098))/(34/14 - 2 - 1)? -7/6 What is the value of (-203)/((2*1680/(-32))/3)? 29/5 What is the value of (-378)/14 + 2 + (-341757)/(-13662)? 1/66 What is (-40310)/630 - (-303)/(-19089)? -64 Calculate 14/385 - (17 - 7584/440). 3/11 Calculate (-6 - -4)/(((17052/17150)/29)/((-15)/(-7))). -125 ((-442)/3740)/(142/(-1420)) 13/11 ((-26139)/87130)/((-30)/(-8)) -2/25 Calculate 456/108 + 16 + -18. 20/9 Calculate 2/(92/(-552) + (-3092)/528 + 6). -88 What is 9 - ((-10183)/1445 - (-4)/(-13*(-9)/468))? 4/85 Evaluate (-11 - -6)/75 - 33/55. -2/3 Evaluate ((-15800)/(-160) + -95)*(-2)/40. -3/16 -83 + 44388/567 + 4 -5/7 Evaluate (-9)/(-144) + 4371/6864 - 30/195. 6/11 What is ((-2173)/(-371) - 5)/(42/175)? 25/7 (-20372288)/(-407360) + -54 + 4 1/95 Evaluate (-20951)/(-2555) - 18/15. 7 What is ((-1)/36)/((-22520)/160 + 143)? -1/81 Calculate ((128/(-72))/(-4))/(85/(-255) + (-1)/(-2)). 8/3 Evaluate 9 + (41 - -35) - (-5 + 3 + -1). 88 What is 9/((-18)/24*3 - (-235)/94)? 36 Evaluate (-1919)/(-46056) + ((0 + -2)/120)/10. 1/25 Evaluate ((-2)/(-9))/(48 - 28980/567). -1/14 What is (-3)/(-16) + 241908/882752? 6/13 Evaluate -70*((-1)/(-6))/((-970)/3492). 42 Evaluate (-150)/78*(704 + -730). 50 Evaluate (-143)/((-152581)/(-40934)) - (-8)/22. -38 What is 43*1/3 + (44 - (-4788)/(-108))? 14 3/(4606/1081 - 4) 23/2 What is (8 - 208/32)/(117/52)? 2/3 (17 - -65) + (-16 - (-3 + -17)) 86 Evaluate (2682 - 2685)/((-1)/(-14)). -42 What is (0 - 13080/198) + 22*22/7986? -66 What is the value of (4/3 + (-7 - 10295/(-1704)))*1? 3/8 What is the value of 36/2 + 229/570*-45? -3/38 What is the value of (-1557*(-13)/(-819) - -25)/(-2)? -1/7 4*(-244)/(-80) + 6/3*(-54)/12 16/5 Evaluate (-7 + 13 + -3)/(-6*(-16)/(-48)). -3/2 What is (-819 - -817)/(10/4*72/(-6390))? 71 Calculate (-1497672)/(-48360) - (516/130 + 12/(-3)). 31 What is (-64603)/(-572) + 3177/55068? 113 What is (9 + (14 - 29))/(210/10)? -2/7 Calculate 1 + -1*2 - (215 + -132 + -116). 32 Calculate (-112)/((-37632)/(-126)) - ((-1462)/(-880) - 2). -2/55 What is -42 + (((-3)/12)/(3/4))/((-8210)/246300)? -32 Calculate -10 - (-2 - 50/(-13))*79664/4596. -42 What is 2/((-62)/22 + (-14 + -52)/(-22))? 11 Evaluate (-1260)/(-4620) + (-3 - -4). 14/11 Calculate (-560564)/(-10590) + (-6)/(-20)*(-16)/(-72). 53 What is -9*2/(-135) - 14464/480? -30 (-60)/(-390) + 6/8*-8*187/26 -43 What is ((-39)/(-50*54/(-360)))/(16/100)? -65/2 (((-1080)/14)/(-27))/((-517)/329 + 0/2) -20/11 (-99 - -212)/(-113) + (-5 + 2)*-3 8 What is the value of (-146740)/28710 + 7*2/(-9)? -20/3 -12 - ((-343)/(-7) + -73) 12 Calculate 26 + (-2491)/94*400/408. 1/51 What is the value of (-689)/318*6 - (21/84 + (-1870)/152)? -18/19 Calculate 2 + 270/17 + ((-93225)/(-1275) - 73). 18 What is -73 + -2 - 13500/540? -100 Evaluate (-4 + 3 + (-372)/(-366))*(-14 + 4 - -13). 3/61 (-18375)/497 - 1968/69864 -37 -15*(3 + (-121)/55) + 8 + 34 30 (5/2 - 3)/(-27 - (-90 + 60)) -1/6 Calculate (-2 - (-9)/4)*42800/(-88275). -4/33 Evaluate 41 - (-90 + 72) - 25. 34 Calculate (-5800)/725 + 2*(-42)/(-10). 2/5 Calculate 49/((-1960)/440) - (-52)/5. -3/5 What is the value of 61/(32879/(-33))*(-378)/2187? 2/189 What is 18*(10 - ((-10)/(-1) - (-10 + (-4256)/(-420))))? 12/5 (-24)/46*(-6923)/3010*15 18 (348/(-377))/((10 + -10)/(-6) - (-6)/(-52)) 8 Evaluate (-120848)/215800*15/(-91). 6/65 What is the value of ((-4)/(-8) - -2)*((-81016)/285)/41? -52/3 Calculate (-109235)/910 - (19 - 32 - (-1011)/78). -120 Evaluate (-78)/130 - (5/(100/356) - 21/(-35)). -19 What is 87*(3 + -2) + -13 + 15*(-6)/9? 64 -112 + 107 - (-6 - -10 - (-2780)/(-308)) 2/77 Calculate (-10*(-26)/(-12))/(621/(-322) - (-140)/(-245)). 26/3 What is ((-25)/30 + -2)*10215/(-15436)? 15/8 Evaluate (-3)/(-10) + -34 + 46569/570. 48 (-348)/(-16)*((-1188)/162 - -7) -29/4 What is ((-125 - -75) + 82)*((-16)/(-14) + (-27)/189)? 32 Evaluate 11*(-189)/(-99) + 21 + 26/(-2). 29 What is the value of (-66)/(-3) + (912 - 936)? -2 What is (2664/(-324) - -8)/((-5 - 2) + (-6)/(-9))? 2/57 (-51 - (-3 - 50))/(3/144) 96 Evaluate 6/(-1290)*(79 - 121 - -40). 2/215 What is ((-5216)/(-112) + -34)/((-10)/35)? -44 Evaluate
{ "pile_set_name": "DM Mathematics" }
a Let i = 564.3 - 531. Let w = -7.3 + i. Let t = -25 + w. Which is the second smallest value? (a) t (b) -0.4 (c) -0.1 (d) 4 c Let o = -0.72 + -0.26. Let l = o - -1.044. What is the biggest value in l, -3, -0.1? l Let j be 3 + -433 - (-11 + 14). Let h = j + 430. Let s be ((-1)/2*1)/(-3). What is the third biggest value in 3/7, 2, h, s? s Let f = -135.907 - -134.907. Let r = -0.056 + 0.191. Which is the biggest value? (a) f (b) r (c) 0.3 c Let h = 6 - 5. Let z be 2 - (-2)/(-1)*1. Let y = -518/3 + 173. Which is the second biggest value? (a) h (b) y (c) z b Let q be (-6)/94*4/6. Let c be 17 - ((-75)/69 - 6/(-69)). Suppose -100 = -c*b - 2*b. What is the smallest value in b, q, -2/11? -2/11 Suppose -5405*u - 160 = -5437*u. Which is the second smallest value? (a) 1/4 (b) 1 (c) -2/9 (d) -4 (e) u c Let i(o) = 102*o + 1935. Let r be i(-19). Which is the fourth biggest value? (a) r (b) -2/15 (c) -18 (d) 0.3 c Let c be (-4)/(-4) - 5/1. Let d = 1.1412 - 1.1212. What is the second biggest value in d, c, 4? d Let m be (-68)/238 + (-76)/28. Let n = 47 - 77. Which is the smallest value? (a) -1/4 (b) m (c) n c Let b = 51 - 15. Let r = -34 + b. What is the second biggest value in 1, -2, 3, r? r Let l = -4749 - -4750. Which is the second smallest value? (a) 0.06 (b) l (c) -15 (d) 0.12 a Let s(i) = 10*i + 75. Let z be s(-7). Let o = 4 - 1. Suppose z*h = 7 + o. Which is the second smallest value? (a) 2/5 (b) 0.2 (c) h a Let b = 833221/50498 + -2/25249. What is the fourth biggest value in b, -0.5, 1/3, 1.5? -0.5 Let h = -705.4 - -701.4. Which is the fifth biggest value? (a) -3 (b) h (c) -5 (d) -2/11 (e) -2/87 c Let x = -12 + 12.9. Let h = -7.7 + 6.7. Which is the second smallest value? (a) 2/5 (b) h (c) x (d) -0.4 d Let v = -77/128 + 1729/640. What is the biggest value in v, 0.2, -2? v Let a = 512 - 713. Let q = a + 147. What is the third biggest value in -5, q, 5? q Let v(w) = 5*w**3 + w**2 - w - 1. Let j be v(-2). Suppose -65*r - 10 = -75*r. Which is the third biggest value? (a) 0.3 (b) r (c) j c Suppose 2*y = 3*h - 6 + 15, 0 = 2*y. Let q be (2/4)/((15/h)/(-50)). What is the fourth biggest value in -2, 11, 0.2, q? -2 Let v = -338 + 338. Suppose 5*w - u = 261, 4*w - 2*w - 9*u = 113. Which is the fourth smallest value? (a) 1/2 (b) 0.3 (c) v (d) w d Let h = -175459 + 175455. Let n = 1 + -0.9. Which is the biggest value? (a) n (b) h (c) 1 (d) -0.4 c Let f = 441 - 315. Let o = -55 + f. Let c = 70 - o. What is the third biggest value in -0.11, 4, 1, c? -0.11 Let y = 0.078 + -5.078. Let v = 212.96 + -193. Let k = -20 + v. Which is the second biggest value? (a) y (b) k (c) -2/13 (d) 2 b Let k be (13 - 17)/(-18 + 11). Which is the fifth biggest value? (a) -0.3 (b) -3 (c) 0 (d) -10.9 (e) k d Let a = 27504 - 27503.9. What is the fifth smallest value in -59, 0.4, -1, a, 9? 9 Let q = -92366/25983 + -2/2887. What is the fourth smallest value in -4, 0, q, 1/5? 1/5 Let d be 203/(-693) + 1/9. Let j = 981 + -661. Let m = -5438/17 + j. What is the smallest value in m, d, -3? -3 Let x = 50 + -72. Let s = 56 + x. Let k = 34 - s. Which is the smallest value? (a) 2 (b) k (c) 0.11 b Let w be 15/6 + 365/146 + (-2 - 2). Which is the fourth smallest value? (a) 0.2 (b) -4 (c) -16.7 (d) w (e) 0.1 a Let w = 4 - 4.2. Let i = -0.008 - -2.758. Let t = i - -1.25. Which is the third biggest value? (a) w (b) t (c) 5 a Let b be 120/153 - 2/3. Let k = 61705.7 - 61705.8. What is the third smallest value in b, k, -3, 3/16? b Let m = -1.28 - 4.67. Let r = m - -6.03. Which is the biggest value? (a) -0.2 (b) r (c) -0.1 b Let q = 0.93 + -1.32. Let k = 0.79 + q. Which is the third biggest value? (a) 5 (b) k (c) -2/3 c Let l = -1775 - -1777.6. Let y = -0.439 + 0.039. Which is the third biggest value? (a) l (b) 2 (c) y (d) -1/4 d Let n = 0.8247 + 0.2753. What is the third biggest value in 8.7, -4, n, -2? -2 Let g = 168 + -170.44. Let w = 2.44 + g. What is the fourth smallest value in w, -1.8, -1, 4? 4 Let z = 461 + -525. Let v be (-8)/(-6) + -1 + z/12. Which is the fourth biggest value? (a) 0 (b) -4 (c) -1 (d) v d Let z = 450 - 234. What is the third smallest value in 3, z, -5? z Let s = 0.02 + -2.07. Let m = -2.05 - s. What is the smallest value in 5, 2/5, m, 24? m Let f = -2/193147 - 204542659/1352029. Let i = -151 - f. Let w(j) = j**2 + j - 1. Let m be w(2). Which is the third smallest value? (a) m (b) i (c) -4 a Let x = 54.047 + -54. Let i = 9141 - 100549/11. What is the third smallest value in x, -1, i? i Let n = -2.1178 - -0.0078. Let r = -2.41 - n. What is the smallest value in 5, r, 12? r Let i be (-8)/(-16)*(-38)/57. Which is the smallest value? (a) 0.5 (b) -1/409 (c) i c Suppose 0*u = 3*u + d + 139, 0 = d - 2. Let z = 149 + -102. Let n = u + z. What is the third smallest value in -1/3, -4, n, -5? -1/3 Suppose 11 = j - 2*v + 18, j - v + 5 = 0. What is the third biggest value in 1, 0.3, 4, j, 7? 1 Let y = 4609 - 4604. What is the smallest value in y, -3/4, -22? -22 Let r(f) = f**3 - 4*f**2 - 28*f - 27. Let k be r(8). Let q = -0.4 - 1.6. Which is the smallest value? (a) k (b) q (c) -0.3 (d) -8 d Suppose 24*j = 28*j + 12. Let l = j + 1. Let x be ((-1)/(-2))/(l/20). Which is the second biggest value? (a) x (b) 0 (c) 0.14 b Let w = -0.15 - 4.85. Suppose 49*x - 8*x = -31*x - 288. Which is the second smallest value? (a) 1/2 (b) 0 (c) w (d) x d Let g = 13 + -11. Let f(m) = -m**2 - 3*m + 20. Let j be f(4). Let y be j/(-14) + 468/(-672). What is the third smallest value in -3, g, y? g Let h be 2512/(-180) + 112/(-2520). Let s be (4/6)/((-10)/(-3)). Which is the biggest value? (a) h (b) s (c) -4 b Let j = 2703 + -2702. What is the third biggest value in -2, -0.23, 1/3, j? -0.23 Let y = -262 - -262.25. Which is the second biggest value? (a) -12 (b) y (c) 0.2 (d) 3 (e) 4 d Let u(x) = x**2 + 7*x + 4. Let b be u(-7). Let g be -2*(5/b - 1). Let p = 22752 - 22751.9. What is the third smallest value in p, g, -2? p Let t = -5791 - -28954/5. What is the fourth biggest value in -114, t, 3, 1, 0.2? t Let x be (-4)/18 + (-4)/(-18). Let b = 2678 - 2673. What is the fourth smallest value in x, b, -0.1, -1/5? b Let w = 3 + -2.8. Let l = 3068 - 4858. Let f = l + 1792. What is the third smallest value in 3/5, f, w? f Let h(t) = -2*t**2 - 72*t + 231. Let f be h(3). Let k = 21 + -85/4. Which is the biggest value? (a) -1.2 (b) k (c) f b Let g(h) = h**2 - 197*h - 1009. Let k be g(-5). What is the second biggest value in -0.06, -11, 15, k, 0.1? k Let p = -0.045 - -49.045. Let z = -51.93205 - 0.06795. Let r = z + p. What is the second biggest value in r, 0.2, 3/7? 0.2 Let l = 153 - 102. Suppose r + 24 = -2*z - r, -3*r - l = 4*z. Let k be (-6)/14*20/z. Which is the biggest value? (a) k (b) -3/4 (c) -12 a Let l = 231 - 217. Let i be (-3 + l/4)*15/(-90). Let n = 9.2 + -9. Which is the fourth biggest value? (a) n (b) i (c) 0 (d) 5 b Let f = 6.597 + -0.097. Let g = 8.5 - f. Which is the biggest value? (a) -0.1 (b) 4/15 (c) 0.1 (d) g d Let i = 26 + -25. Let p be (((-33)/4)/i)/((-5)/(-20)). Let b = p - -32. What is the smallest value in -2, -4, b? -4 Let s = 0.1 + 0.59. Let j = -0.19 + s. Let v = -1.6 - -1.7. Which is the smallest value? (a) j (b) -4 (c) v b Let u(w) = 5*w**2 + w. Let k be u(2). Let z(n) = -2641*n - 87155. Let v be z(-33). Which is the third smallest value? (a) k (b) v (c) -2/7 a Let y be 3/(-2) - (-2)/2. Let r = 737 + -600.6. Let p = -136 + r. Which is the third biggest value? (a) 0.18 (b) p (c) y c Let i = -2800 + 2778. Which is the fourth biggest value? (a) i (b) -4 (c) 0.4 (d) -0.5 a Let i = 37938 + -37945. Let z be 14/4 + 4/(-8). Suppose 0 = -4*y - z*g + 11, 3*y = 3*g + 3 - 0. Which is the second biggest value? (a) y (b) 1/6 (c) i b Let b(g) = -103*g**2 + 3*g - 4. Let c be b(1). Let m = c + 311/3. What is the second biggest value in -2, m, -1? -1 Suppose 6 = -2*y - 3*u, y + y - u = 10. What is the fourth smallest value in -16, y, 2, 16? 16 Suppose -19*p - 825 = -22*p. Let h be -2*(p/10)/11. Let z be (4/5)/((-2)/(-5)). Which is the third biggest value? (a) h (b) -5/4 (c) z a Let w be 4/(1/(-1)) + 961/217. Suppose 4*g + 24 = 8. What is the third biggest value in w, 1, g? g Let m
{ "pile_set_name": "DM Mathematics" }
. What are the prime factors of g(7)? 3, 13 Suppose 0 = -5*z - 5 - 5, 5*z + 38 = i. What are the prime factors of i? 2, 7 Let f = -213 - -311. List the prime factors of f. 2, 7 Suppose -o = 4*o - 135. List the prime factors of o/18*14/3. 7 Let o = -95 - -189. What are the prime factors of o? 2, 47 Let k(j) = 2*j**2 - 9*j - 3. Let p be k(7). Suppose 4*f + 12 = p. List the prime factors of f. 5 Let i = -4 - 1. Let x = 16 + i. What are the prime factors of x? 11 Let v = -6 - -10. Suppose 3*p = 12, 0 = -v*g - 0*g + 3*p + 28. Suppose 0 = -2*y + 4*y - g. What are the prime factors of y? 5 Let b = 21 - 15. Let j(f) = f + 2. What are the prime factors of j(b)? 2 Let a be 69/5 - 1/(-5). Let g = 3 + a. What are the prime factors of g? 17 Let q(u) = 3*u**3 - 6*u**2 + 2*u. Let z(n) = 7*n**3 - 12*n**2 + 5*n + 1. Let w(d) = -5*q(d) + 2*z(d). List the prime factors of w(5). 3 Let d be (-4)/10*(-30 - 0). Let c be (-1)/((-3)/d*1). Suppose 0 = -c*u + 4*l, -2*u + 2*l = 3*u - 15. List the prime factors of u. 5 Suppose 4*i - 16 = 8. Suppose 3*g - 5*o = 16, -i*o - 6 = -g - 4*o. Suppose x + 3 + 1 = 0, -g*x = 3*c + 2. List the prime factors of c. 2 Let m be 84/18 + (-2)/3. Let n(c) = -c**3 + 5*c**2 - c - 4. What are the prime factors of n(m)? 2 Let c(m) = m**3 + m**2 + 2*m + 40. Suppose 5*i - 6*g + g - 15 = 0, 0 = -2*i - 3*g - 9. List the prime factors of c(i). 2, 5 Suppose 2*c - 4*i + 22 = 0, -c + 2*i - i = 15. Let t = c + 27. Suppose 2*v = 3*v - t. What are the prime factors of v? 2 Suppose -15*i + 16*i - 157 = 0. List the prime factors of i. 157 Suppose 4*s + 4*q = 656, 4*s - 3*q - 828 = -s. What are the prime factors of s? 3, 5, 11 Suppose -4*g = 4*c - 6*c + 26, -4*g + 3*c = 29. Let j = g + 9. Suppose -j*x + 10 = -2. List the prime factors of x. 3 Suppose -93 = -3*t + 2*m, 0*t = 3*t - 4*m - 87. List the prime factors of t. 3, 11 Suppose -q + 5*m - 20 = q, -50 = 5*q + 4*m. Let k = 17 + q. What are the prime factors of k? 7 Suppose 8*u - 352 = 336. List the prime factors of u. 2, 43 Let u be (3 - -1)*(0 + 1). Suppose -2*p + 4*j + 24 = 0, -5*p = -0*p + u*j + 10. List the prime factors of p. 2 Let y = -34 + 55. What are the prime factors of y? 3, 7 What are the prime factors of (-4)/(16/484)*(-2 + 1)? 11 Let z = 40 + 258. List the prime factors of z. 2, 149 Suppose 2*p - 24 = -2*q, 3*q + p = q + 23. Let t = -2 + q. What are the prime factors of t? 3 Let f(g) = 2*g - 5. Let c be f(8). Let s = c - -25. List the prime factors of s. 2, 3 Let i = 48 + -9. What are the prime factors of i? 3, 13 Let x(s) = 2*s**3 + 29*s**2 + 25*s + 23. Let d(w) = w**3 + 14*w**2 + 12*w + 11. Let a(n) = 5*d(n) - 2*x(n). List the prime factors of a(-11). 2, 5 Let d be (-1)/2*0/2. Let p be (-3)/9*1*-12. Suppose d*h - p*h + 72 = 0. What are the prime factors of h? 2, 3 Suppose 5*s - 36 = 3*s. Let j be (-1 - 0)*-1*6. What are the prime factors of (2/j)/(1/s)? 2, 3 Let m be ((-8)/10)/((-4)/10). Let i = m - -1. Suppose -i*y + 3*r = -21, -2*r + 6 = 4*y - 16. What are the prime factors of y? 2, 3 Let y(z) = 8*z**2 - 9*z + 10. Let h(r) = -3*r**2 + 3*r - 3. Let f(a) = -11*h(a) - 4*y(a). What are the prime factors of f(-6)? 11 Suppose 5*c - 617 = 508. What are the prime factors of c? 3, 5 Suppose 2*g - 6*g = s - 14, -2*s + 4*g = 32. Suppose 2*l - 4*b + 20 = 0, 0 = 4*l + 2*b - b + 49. Let h = s - l. What are the prime factors of h? 2, 3 Let u = -3 - -8. Let h be (-8)/(-10) + 19/95. Let b = u - h. List the prime factors of b. 2 Let o = 9 - 6. Let r be 14/4 - 1/(-2). Suppose -o = p, -4*b - p + 25 = r*p. List the prime factors of b. 2, 5 Suppose 55 + 1 = 4*l. List the prime factors of l. 2, 7 Let f(u) = -u**3 + 6*u**2 - 3*u + 1. Let k be -3*(-4)/(-9)*-3. What are the prime factors of f(k)? 3, 7 Let k(w) = -w - 9. Let u be k(-4). Let i = u - -20. What are the prime factors of i? 3, 5 Suppose -4*f = 5*w - 111, 38 - 5 = f - 4*w. List the prime factors of f. 29 Let l be (-12)/((-8)/(4 + 0)). Suppose 4*a = -4*r + 80, 3*r - 5*a - 26 = -l. What are the prime factors of r? 3, 5 Let m = 37 - 18. What are the prime factors of m? 19 Suppose -h + 3*f = 4*f - 1, -3*h + 3 = -f. Let c = h - -10. List the prime factors of c. 11 Suppose 10*d = 141 + 329. List the prime factors of d. 47 Suppose 1 = x, 5*o - 2*x - 2*x = -4. Suppose o = -6*j + 2*j. Let s = j - -16. List the prime factors of s. 2 Suppose 1 = z + 27. List the prime factors of (0 + 1)/((-13)/z). 2 Let p(g) = 2*g**2 - 3*g + 2. Let d be 10/6 + 2/6. What are the prime factors of p(d)? 2 Let f(v) be the third derivative of v**4/24 + 13*v**3/6 - 5*v**2. Let n be f(-7). Let h = n + -1. List the prime factors of h. 5 What are the prime factors of 2 + 2 - (-1156)/4? 293 Let b(z) be the third derivative of -11*z**4/24 - 6*z**2. What are the prime factors of b(-4)? 2, 11 Let h = -23 + 2. Let j = h + 13. Let t = 22 + j. What are the prime factors of t? 2, 7 Let p(k) = -4*k - k - 8 + 2*k. What are the prime factors of p(-6)? 2, 5 Let p(u) be the second derivative of -u**6/360 - u**5/15 - u**3/6 + u. Let a(i) be the second derivative of p(i). What are the prime factors of a(-6)? 2, 3 Suppose 17 = 4*b - 3*g, -3*b + 3*g = 2*b - 19. Suppose -11 = b*z + 1. List the prime factors of (-100)/(-15) + 4/z. 2, 3 Suppose 0*v - 4*u + 4 = 2*v, 3*v + 2 = 2*u. Let m = v + -5. Let a = m + 20. List the prime factors of a. 3, 5 Let b be (-2)/((-2)/1) + -1. Let l(r) = -r**2 - r + 23. List the prime factors of l(b). 23 Suppose -3*b = 7*j - 2*j + 26, 3*j = -3*b - 24. Let q(s) = -2*s - 5. Let c be q(b). Suppose -2*o = -x - c, -o = 3*o + 2*x - 6. What are the prime factors of o? 3 Let i be (5/15)/((-2)/(-156)). Suppose 0 = 5*x + p - 14 - 11, 4*x + 2*p - i = 0. What are the prime factors of x? 2 Let n be 48/(-21) - 2/(-7). Let h be (-1)/(n/(-7))*-2. List the prime factors of 2/h - (-54)/7. 2 Let k(g) = 2*g + 5. Let h be k(0). Suppose 27 = h*x - 18. What are the prime factors of x? 3 Let p(j) = j**3 - 9*j**2 + 11*j - 9. Let h be 6*(5/2 - 3). Let w be 3*10/6 - h. List the prime factors of p(w). 3, 5 Suppose -152 = -k + 28. Suppose -3*p + 92 = -5*z, 5*z - k = -5*p - 0*z. What are the prime factors of p? 2, 17 List the prime factors of (3 + 220/(-12))*(-9)/2. 3, 23 Let s be 1/((-3)/(-6))*9. Suppose 0 = 4*f - 6*f + s. List the prime factors of f. 3 Let z be 3 + 0/(-2 - 1). Suppose -j + f = -17, -33 = -4*j + j - z*f. What are the prime factors of j? 2, 7 Suppose 0 = -4*k - 2*r + 28, 4*k - 2*r - 14 = k. What are the prime factors of k? 2, 3 Suppose -2 + 37 = 5*p. Suppose -p = 3*g + 2. List the prime factors of ((-30)/9 - -1)*g. 7 What are the prime factors of (-2 + 1)*3 - -12? 3 Let w(p) = 89*p - 5. What are the prime factors of w(3)? 2, 131 Let s be (-4 - 6/(-2)) + -4. Let u(m) = -5*m + 2. Let v be u(s). Let p = v + -13. List the prime factors of p. 2, 7 Suppose -6*y = -3*y - 6. Let d be ((-3)/2)/((-1)/y). Suppose -2*a + d = -3. List the prime factors of a. 3 Let u be 1/(-1)*(-4 - -2). What are the prime factors of u/((-16)/(-6) + -2)? 3 Let b(z) = -z**3 + 8*z**2 - 7*z - 7. Let f be 1 + 0 - (1 + -7). Let l be b(f). Let s(a) = a**2 + 6*a + 1. List the prime factors of s(l). 2 Suppose -6*p - 9 = -9*p. Suppose 0 = p*x - 42 - 3. What are the prime factors of x? 3, 5 Suppose 0 = 2*s - 14 + 2. List the prime factors of s. 2, 3 Suppose 0*q + 381 = 3*q - 3*o, 2*o + 384 = 3*q. List the prime factors of q. 2, 5, 13 Let o = 2 - 1. Let v = 3 - o. What are the prime factors of (-1)/(-2) - (-13)/v? 7 Let b = 13 - 9. Suppose 0 = b*m - 11 - 25. What are the prime factors of m? 3 Let r(t) = t**2 - 15*t + 13. What are the prime factors of r(17)? 47 Let s = 11 + 212. What are the prime factors of s? 223 Suppose 6*s = 3*s - 4*k + 131, 213 = 5*s + 4*k. What are the prime factors of s? 41 Let m = -8 - -12. Suppose -m*v = v. Suppose v = 5*h - 16 - 14. List the prime factors of h. 2, 3 Suppose 4*p = -p + 100. Suppose -p = -a - a. List the prime factors of a. 2, 5 Let k = 27 + 80. What are the prime factors of k? 107 Suppose 6*u - 165 = 837. What are the prime factors of u? 167 Suppose l - 96 = -3*l. List the prime factors of l. 2, 3 Suppose 0 = 11*b - 147 - 337. List the prime factors of b. 2, 11 List the prime factors of ((-4)/(-10))/(3/525). 2, 5, 7 What are the prime factors of ((-5)/(-2))/((-6)/(-12))? 5 Suppose 3*k = 4
{ "pile_set_name": "DM Mathematics" }
481 and -13/26662? 92810422 Calculate the least common multiple of 228 and 5234956. 15704868 Calculate the smallest common multiple of 54322 and 2555332. 442072436 Calculate the smallest common multiple of 155 and 3527025. 3527025 Calculate the smallest common multiple of 551812796 and 14. 3862689572 Calculate the least common multiple of 1168434 and 16812. 2336868 What is the common denominator of 49/1164 and 79/17118075? 68472300 What is the lowest common multiple of 20665 and 2810440? 2810440 Calculate the common denominator of -41/92351 and -32/821473. 454274569 Calculate the least common multiple of 13293 and 323769. 1434620439 Calculate the common denominator of -13/7742 and -67/3120. 12077520 What is the least common multiple of 838053 and 651819? 5866371 What is the lowest common multiple of 4864830 and 1961625? 121620750 What is the common denominator of -38/769335 and 46/461601? 2308005 What is the common denominator of 111/2134 and -2/7837313? 1520438722 What is the lowest common multiple of 65 and 1992536? 9962680 What is the common denominator of -41/4455 and -22/7515? 743985 What is the common denominator of 21/5692 and 1/54480978? 108961956 Calculate the common denominator of -7/44892872 and 43/202017924. 404035848 What is the smallest common multiple of 10836 and 318746358? 637492716 What is the common denominator of -17/211118196 and 169/28842? 2322300156 Find the common denominator of 169/54734040 and -11/10946808. 54734040 Calculate the least common multiple of 144281280 and 624. 144281280 Calculate the common denominator of 49/80538 and 88/21. 563766 Calculate the least common multiple of 3 and 68390874. 68390874 What is the smallest common multiple of 412 and 16219204? 16219204 What is the lowest common multiple of 9179348 and 44? 100972828 Calculate the lowest common multiple of 47416 and 8888. 52679176 Calculate the least common multiple of 7040 and 588544. 2942720 Calculate the lowest common multiple of 32301626 and 161508130. 161508130 Calculate the smallest common multiple of 3654576 and 16892. 376421328 What is the lowest common multiple of 86362 and 12934? 19258726 Calculate the least common multiple of 173410 and 2531786. 12658930 Calculate the smallest common multiple of 24 and 2177068. 13062408 Calculate the common denominator of -123/46124290 and -39/16. 368994320 What is the common denominator of 58/15859827 and 44/45? 79299135 Calculate the smallest common multiple of 12 and 5917246. 35503476 Calculate the common denominator of -59/13417116 and -67/40251348. 40251348 Find the common denominator of 7/356400 and -167/176220. 31719600 Calculate the common denominator of -91/10252 and 1/63572652. 63572652 Calculate the lowest common multiple of 1391130 and 6816537. 68165370 Calculate the common denominator of -31/549 and -91/179514. 10950354 Calculate the common denominator of -113/47498 and 87/271898. 34531046 Calculate the smallest common multiple of 731324406 and 18. 2193973218 Find the common denominator of 103/6512 and -55/321234. 28268592 Calculate the lowest common multiple of 50646944 and 362916. 455822496 What is the smallest common multiple of 1015532340 and 12? 1015532340 Calculate the common denominator of 47/621628 and 101/168. 3729768 Calculate the common denominator of -101/8765286 and 109/6. 8765286 Calculate the lowest common multiple of 11756220 and 1120. 94049760 What is the least common multiple of 488383 and 99670? 4883830 Calculate the smallest common multiple of 945549 and 94765022. 852885198 What is the least common multiple of 84510632 and 21127658? 84510632 Calculate the common denominator of -13/48964438 and -51/30010462. 930324322 Calculate the lowest common multiple of 15462945 and 1173051. 170092395 What is the least common multiple of 24103934 and 44? 530286548 Find the common denominator of 137/474 and -23/15626826. 1234519254 What is the least common multiple of 92715442 and 76? 3523186796 Calculate the common denominator of -35/7634 and -119/215270. 74698690 Calculate the lowest common multiple of 383524 and 807. 309503868 Find the common denominator of 39/96640 and 89/622724. 99635840 What is the least common multiple of 4374870 and 20124402? 100622010 Calculate the smallest common multiple of 1178384 and 413688. 38886672 What is the common denominator of -95/396 and -59/5858? 1159884 What is the least common multiple of 1100500 and 17050? 12105500 Calculate the common denominator of -49/194028621 and -65/545721. 2134314831 Calculate the common denominator of -5/11932844 and -35/124872. 787567704 Calculate the least common multiple of 13283 and 9856. 130917248 What is the smallest common multiple of 351500 and 199500? 7381500 What is the smallest common multiple of 61864 and 653752? 24188824 Find the common denominator of -41/14910 and 57/1776775. 10660650 Find the common denominator of 1/53350 and 92/262722075. 525444150 Calculate the lowest common multiple of 2910972 and 84. 20376804 What is the smallest common multiple of 334 and 3013682? 3013682 Calculate the smallest common multiple of 23731972 and 605. 118659860 Calculate the common denominator of 163/150 and -149/8524650. 8524650 Calculate the lowest common multiple of 30 and 8500545. 17001090 Find the common denominator of 97/9980 and -35/4504. 11237480 What is the smallest common multiple of 1491088 and 492059040? 492059040 Calculate the common denominator of -23/150046 and 85/15025296. 435733584 Find the common denominator of -85/9594 and -73/1006746. 123829758 Calculate the common denominator of -48/25787 and 41/1343278. 323729998 What is the common denominator of 25/30469411 and -3/1324757? 30469411 What is the lowest common multiple of 1197300 and 500? 5986500 Find the common denominator of 103/15743572 and -79/72020. 78717860 Calculate the common denominator of 64/175 and 7/131455. 4600925 Calculate the common denominator of -125/2664 and 1/1110. 13320 What is the lowest common multiple of 3957120 and 197856? 3957120 What is the least common multiple of 9 and 25053045? 75159135 What is the least common multiple of 8910288 and 36? 8910288 Calculate the common denominator of -5/8 and 79/26520531. 212164248 What is the common denominator of 70/506847 and 4/506847? 506847 Calculate the least common multiple of 1664520 and 13728. 6658080 Calculate the least common multiple of 228 and 18953355. 75813420 What is the common denominator of 23/5501 and -49/52298007? 52298007 What is the least common multiple of 15675 and 30690? 2915550 Calculate the common denominator of 163/4694580 and -29/120. 9389160 Calculate the least common multiple of 29232 and 56. 29232 Calculate the common denominator of 53/141016660 and 33/366643316. 1833216580 Calculate the least common multiple of 19840 and 554400. 68745600 Find the common denominator of 79/6175650 and -179/3120. 49405200 Calculate the least common multiple of 174876 and 16614. 37248588 What is the least common multiple of 370640 and 185320? 370640 Calculate the common denominator of -31/56 and 53/21739956. 43479912 Calculate the common denominator of 10/644597 and -67/3. 1933791 What is the common denominator of -19/305006128 and 55/92? 305006128 What is the least common multiple of 221391 and 205474? 31437522 Find the common denominator of -87/320 and 17/324308. 25944640 Find the common denominator of -17/2338 and -89/54011808. 378082656 Find the common denominator of -157/139230 and 43/4014465. 24086790 What is the lowest common multiple of 85640 and 2120? 4538920 Find the common denominator of -19/39609591 and -139/57820. 792191820 What is the lowest common multiple of 2463304 and 76336? 64045904 What is the common denominator of -81/3493742 and -19/1082417? 352867942 Calculate the least common multiple of 29655066 and 14827533. 29655066 What is the common denominator of 107/10 and -25/119669668? 598348340 What is the lowest common multiple of 6768103 and 12290? 67681030 What is the lowest common multiple of 810 and 177633? 1776330 What is the common denominator of -115/260652 and -143/32100? 6516300 Calculate the lowest common multiple of 15 and 1818507. 9092535 Find the common denominator of 53/50910044 and 47/494. 661830572 What is the least common multiple of 141 and
{ "pile_set_name": "DM Mathematics" }
= 9 + -6. Let u = n - -6. Suppose 4*f = 3*f + u. What are the prime factors of f? 3 Let i = -196 + 362. List the prime factors of i. 2, 83 Let d(q) = -q**3 - 4*q**2 + 4*q + 6. What are the prime factors of d(-5)? 11 Let c = 21 + -30. Let s(k) = -k**2 - 9*k + 3. Let h be s(c). Suppose -h*w + 30 = -0. What are the prime factors of w? 2, 5 Let f = 11 + -8. Suppose -7 + f = -4*o. Let a = o - -2. List the prime factors of a. 3 Suppose 4*f = -4*f + 336. What are the prime factors of f? 2, 3, 7 Suppose -6*k + 100 = 28. List the prime factors of k. 2, 3 List the prime factors of (56/12)/(-1 - 82/(-78)). 7, 13 Let b = 45 - -19. Suppose 0*w - 3*w - b = 4*q, -4*w + 2*q - 122 = 0. Let t = -11 - w. List the prime factors of t. 17 Suppose -44 - 86 = -2*u. List the prime factors of u. 5, 13 Let y be (-25)/(-6) - 12/72. Suppose -3*h + y*h = 24. What are the prime factors of h? 2, 3 Suppose -q = 8*q. Let n(a) be the first derivative of -a**3/3 + a**2/2 + 2*a + 1. List the prime factors of n(q). 2 Let h = -2 - -2. Let i be h + 2 + 1/(-1). List the prime factors of (i + -3)/(4/(-18)). 3 Let w = -103 - -117. List the prime factors of w. 2, 7 Suppose 4*s - 279 = s. What are the prime factors of s? 3, 31 Suppose 0 = 10*d - d - 531. What are the prime factors of d? 59 Suppose 0*z + 25 = -5*z. Let j(b) = 1 + 6 + 6*b + 2*b**2 - 3*b**2 + 2*b**2. List the prime factors of j(z). 2 Suppose 13 = -3*l + 157. List the prime factors of l. 2, 3 Let s(p) = p - 1. Let c be s(13). Suppose -2*r - c = -4*r. What are the prime factors of r? 2, 3 Let v(s) = 28*s**3 + s**2 - 2*s + 1. List the prime factors of v(1). 2, 7 Let l(o) = 7*o - 7. List the prime factors of l(2). 7 Let k(b) = -b**3 + 8*b**2 + b + 3. Let w(f) = -f + 1. Let d = 5 + -12. Let o be w(d). What are the prime factors of k(o)? 11 Suppose -2*i + 2 = 0, 3*k - i + 7 = 3*i. Let h = k - -3. Suppose -x - h*d + 5 = d, -5 = -x + 5*d. What are the prime factors of x? 5 Suppose 14 = o - 10. List the prime factors of o. 2, 3 Suppose -h = 2*h - 12. Suppose -h - 5 = -3*z. Suppose -c - 4*r + 23 = 0, -3*c + z*r + 2*r + 18 = 0. List the prime factors of c. 11 Suppose -47 - 241 = -3*k. List the prime factors of k. 2, 3 Suppose r + 1 = -5*l + 3, 4*r + 10 = -2*l. Let z be (2/(-1))/(r/12). Suppose 0 = -7*s + 3*s - 4*b - z, 4*b = -5*s - 6. What are the prime factors of s? 2 Suppose 0 = 2*c - 5*x + 14, 3*x - 4 = x. Let n(p) = -p**2 - 8*p + 6. Let b be n(-7). List the prime factors of (b - 0) + c + 2. 13 Let x = 1 - -4. Suppose 5*k + 4*s = 23 + 33, -5*k + 55 = x*s. Suppose -y = -0*y - k. What are the prime factors of y? 2, 3 Let n be 5/(-15) - (-2)/(-3). Let l = 4 - n. Suppose l*u - 36 = 14. List the prime factors of u. 2, 5 Suppose 6*x - x = b + 20, 4*b = 20. Suppose -x*m - 56 = -226. What are the prime factors of m? 2, 17 Let i(w) = -w**2 - 9*w - 11. Let d be i(-9). Let o = d - -17. What are the prime factors of o? 2, 3 What are the prime factors of (-50996)/(-154) - (-2 + 15/7)? 331 Let f = -53 - -83. Let b = 13 - 13. Suppose b = h - 6*h + f. List the prime factors of h. 2, 3 Suppose 0 = g - 2*g + 5*t + 18, -t - 4 = 0. What are the prime factors of (g/6)/(4/(-48))? 2 Let n be 4/10 - (-51)/(-15). Let k(z) = z**2 + 3*z + 2. Let y be k(n). What are the prime factors of -2*(y + -1) - -11? 3 List the prime factors of (2 - 0)/(18/207). 23 Let c be 1 + (-2)/((-2)/(-11)). Let k be (-148)/c - 1/(-5). Let x = k - 8. List the prime factors of x. 7 Let w = -9 - -11. Suppose -3*i + w = -5*x, x + 2*x + 5*i - 26 = 0. List the prime factors of x. 2 Suppose 4*g - 183 = -3*h + 194, 0 = g + h - 95. List the prime factors of g. 2, 23 Let o(y) = y**3 - 5*y**2 + y + 2. Let x be o(4). Let j = -5 - x. Suppose -l + j = -2. What are the prime factors of l? 7 Let i(t) = 2*t. Let n be i(2). Let w(q) = -q**3 + 4*q**2 + 4. What are the prime factors of w(n)? 2 Let s(p) = -p**2 - 8*p + 12. Let b be s(-9). Suppose -w + b*w + d - 2 = 0, -4*d = -w + 19. What are the prime factors of w? 3 Let t(b) = b**3 + 4*b**2 + 3*b + 2. Let i be t(-3). Let g be (-1 - -3)/(-1 + i). What are the prime factors of 9 + 0/(-1 - g)? 3 Suppose -4*m = -2*s - s - 25, 3*m + 4*s = 0. Suppose -m = -6*y + 4*y. What are the prime factors of y? 2 Let c be (-1)/2 - (-58)/4. What are the prime factors of (-2)/c + 2277/63? 2, 3 Let u = 27 + -19. List the prime factors of u. 2 Suppose -v + 5*d = -3*v + 574, -v + 286 = 3*d. What are the prime factors of v? 2, 73 Suppose 0 = -z + 3*z - 124. List the prime factors of z. 2, 31 Suppose -2*c = 5*q - 1125 - 994, 3*c = 5*q - 2109. List the prime factors of q. 3, 47 Suppose 5*m - 4*o = -0*o + 260, -m + 52 = -4*o. What are the prime factors of m? 2, 13 Suppose -12*m = -4*m - 48. List the prime factors of m. 2, 3 Let i(k) = k - 4. Let c be i(12). Suppose -c - 2 = 5*h, 5*h + 34 = 2*s. What are the prime factors of s? 2, 3 Suppose m + d - 4*d = 43, 183 = 5*m + d. List the prime factors of m. 37 Let u be 3*(-1 - 5/3). What are the prime factors of (-70)/u + 1/4? 3 Let q(d) = -4*d**3 - d**2 + d + 1. Let f be q(-1). Suppose 0 = -2*z + 37 + f. List the prime factors of z. 2, 5 Let w(k) = k**3 - 3*k**2 + 2*k - 3. Let m = 2 - -2. Let n be w(m). Suppose 4*q = -5 + n. List the prime factors of q. 2 Let o = 4 - 4. Suppose -4*w + 4 + 16 = o. What are the prime factors of w? 5 What are the prime factors of -1*2*427/(-14)? 61 What are the prime factors of -1*(2/5)/((-3)/405)? 2, 3 Let l(c) = c - 4. Let j be l(8). Let x = j + 0. List the prime factors of x. 2 What are the prime factors of (-5)/(5/2) - (-82 + -2)? 2, 41 Suppose f = 4*h - 4*f - 367, -5*f + 284 = 3*h. List the prime factors of h. 3, 31 Let z = 8 - 4. Suppose z = 3*i - 8. Suppose k = -5*t + 28, 0 = 3*k - i*t + 15 - 4. List the prime factors of k. 3 Suppose 2*m + 10 = 0, 0*m = -5*i + 2*m + 25. List the prime factors of 5 - i/(-2 - 1). 2, 3 Suppose m = -10 + 90. List the prime factors of m. 2, 5 Suppose 3*z - 2 = q, 2*q - 3*q + 10 = 3*z. What are the prime factors of q? 2 Suppose 2*g + 0*g = 382. List the prime factors of g. 191 Suppose 4*v = 2*l - 0*l - 62, -5*v = l - 10. List the prime factors of l. 5 Suppose 13*r = 7*r + 354. List the prime factors of r. 59 Suppose -3*y + y = -4. Suppose -15 = h - y*h. What are the prime factors of h? 3, 5 Suppose 3*u - 540 = -6*u. What are the prime factors of u? 2, 3, 5 Let z(f) = f**3 + 9*f**2 - 11*f + 1. Let h be ((-4)/6)/((-2)/(-30)). What are the prime factors of z(h)? 11 Let l(c) = 4*c**2 - 5*c - 1. Let m be l(4). Let y = 0 + m. What are the prime factors of y? 43 Let p = -43 - -74. Let s = 44 - p. Let i = -9 + s. List the prime factors of i. 2 Let i = 240 - 164. List the prime factors of i. 2, 19 Suppose s - 1 = 1. Suppose 66 = 4*o - s. List the prime factors of o. 17 Let w(y) = y**2 + y. Let h be w(-3). List the prime factors of (-8)/(-48) - (-233)/h. 3, 13 Let a be (-1)/(4/(-3) + 1). Suppose 0 = 2*v + a*v - 2*h - 23, -19 = -5*v + h. List the prime factors of (v/(-2))/(6/(-16)). 2 Let b(u) = -u**3 + 5*u**2 + u - 3. Let h be b(5). Suppose 6 = h*y - 3*y + 3*o, o = 4*y - 31. List the prime factors of y. 3 Let a = 60 + -40. Suppose -h = 2*h + 2*d - 37, 2*h = d + a. What are the prime factors of h? 11 What are the prime factors of (8/4)/(6/213)? 71 Let z = -62 + 127. Suppose -4*b - 3*k = -z, b + k - 2*k = 25. What are the prime factors of b? 2, 5 Suppose y + m + 8 = -3*y, -4 = -m. List the prime factors of y - 148/(0 - 4). 2, 17 Let q(j) = -10*j - 3. Let l be q(3). What are the prime factors of (-6)/l + 42/11? 2 Let z(u) = u - 1. What are the prime factors of z(7)? 2, 3 List the prime factors of 3/3*(77 + -4). 73 Let w(m) = 22*m**2 - 10*m - 22. List the prime factors of w(-4). 2, 5, 37 Suppose -10*d + 4*d + 1272 = 0. List the prime factors of d. 2, 53 Let q be 10/3 + (-7)/21. What are the prime factors of -2*q*2/(-4)? 3 What are the prime factors of (124/(-6))/((-4)/6)? 31 Let r be 16/(-6)*6/(-4). Suppose r*f = f + 12. List the prime factors of f. 2 Let f be 5/(-10)*10/(-1). Suppose -31 - 4 = -f*l. List the prime factors of l - 4 - 28/(-2). 17 Let d(b) = 2*b + 12 - 1 - b. Let o be d(-8). Suppose o*i + i - 28 = 0. What are the prime factors of i? 7 List the prime factors of 72 + 9*((-6)/3)/6. 3, 23 Let f = 0 + -3. Suppose 3*g + 0 - 3 = 0. Let o = g - f. What are the prime fac
{ "pile_set_name": "DM Mathematics" }
-3*s + k + 8 = 5*k, 0 = s - 2*k - 16. Let l be s/(-6)*(-6)/4. Let d(v) = v + l*v + 3 + v**2 + 0*v. Give d(-3). 3 Let h be (-7)/(14/(-12)) + -2. Let m(z) = 1 - h*z + 3*z - 5*z. Let i be m(1). Let n(d) = -d - 10. Give n(i). -5 Let p(m) = -2*m - 11 + 25 - 15 + 2*m**2. What is p(2)? 3 Let j = -9 + 13. Let k(f) = f - 2. Determine k(j). 2 Let u(t) be the second derivative of -9*t**5/20 + t**4/12 + t**3/6 + t**2/2 + 13*t. Give u(-1). 10 Let d(h) = -2*h**3 - 2*h**2 + h + 2. Let u be (2 + 1)/(6/(-4)). Give d(u). 8 Let b(n) = -n**2. Let o be b(0). Let w(s) = -s + 12. Calculate w(o). 12 Let u(x) be the first derivative of x**5/120 + x**4/12 - 8*x**3/3 + 2. Let a(t) be the third derivative of u(t). Give a(0). 2 Let g(j) = j**2 + j - 1. Let w(l) = l**2. Let f(q) = g(q) + 2*w(q). Let n = -1 + 2. Calculate f(n). 3 Let b(r) = r**3 - 3*r - 1. Let a(m) = m**2 - 5*m + 5. Let c be a(4). Let l = c - 3. Calculate b(l). -3 Let p(f) = -9*f - 9. Let w(s) = -s - 1. Let r(q) = 3*p(q) - 24*w(q). Suppose 6 - 26 = -4*j. Suppose -3*b = -j*v - 4, 3*b - v + 2 = -2. Calculate r(b). 3 Let o = 7 - 5. Suppose 0 = 2*p - 6, o*k - k = 3*p - 12. Let j(l) = l**2 + 5*l + 3. Calculate j(k). -3 Let h(m) = -3*m + 15. Let v(q) = 5*q - 23. Let t(p) = -8*h(p) - 5*v(p). What is t(-7)? 2 Let z be (-2 - (-6)/4)*-14. Let t(l) = l**3 - 8*l**2 + 6*l + 10. Determine t(z). 3 Let d(m) = 2*m**3 - 10*m**2 + 13*m - 19. Let r(k) = -k**3 + 5*k**2 - 7*k + 10. Let q(v) = 3*d(v) + 5*r(v). Give q(5). 13 Let n(l) = 9*l + 17*l + l**2 - 29*l. Determine n(3). 0 Let y = 2 + 0. Let c be (-6)/(-4)*(-24)/(-9). Let v(x) = c*x + x - 1 - 3*x. Determine v(y). 3 Suppose -10 = -v + 15. Let w be (10/v)/(1/(-15)). Let d(h) be the third derivative of h**6/120 + 7*h**5/60 + h**4/4 - h**3/3 - h**2. Calculate d(w). -2 Let x(m) = -m**2 - 5*m - 4. Let f(d) = -1. Let c(j) = -4*f(j) + x(j). Let y = -3 - 2. What is c(y)? 0 Let q(k) = 2*k**3 - 4 + 4 - k. Let d(g) = 5*g**2 + 7*g + 5. Let a(v) = v**2 + 2*v + 1. Let m(f) = -9*a(f) + 2*d(f). Let z be m(4). What is q(z)? 1 Let b(j) = -4*j + 13. Let l be b(3). Let z(p) = -15*p**3 - 2*p**2 + 2*p - 1. Calculate z(l). -16 Let l(x) = -x**2 - 3*x + 1. Let p be -3 - -4 - 9/(2 + 1). What is l(p)? 3 Let k(v) = v**3 - 6*v**2 + 3*v + 1. Let c = -31 - -36. What is k(c)? -9 Let h(j) be the first derivative of j**5/20 + j**3/6 + j**2/2 - 4*j + 3. Let o(w) be the first derivative of h(w). Give o(0). 1 Let z(i) = i**3 - 11*i**2 + 2*i - 17. Let h be z(11). Let f(t) = t**2 - 5*t - 6. Give f(h). -6 Let y be (-12)/10*(-10)/4. Let u = 5 - y. Let k(l) = -7*l**3 - l**2 - 6*l + 6. Let f(z) = -3*z**3 - 3*z + 3. Let j(h) = -5*f(h) + 2*k(h). Calculate j(u). 3 Suppose -3*h + 5*m + 6 + 10 = 0, h - 3*m - 8 = 0. Suppose 5*k + 0 + 13 = p, -4*k - 2*p = h. Let g = 2 + k. Let f(c) = c**3 + c - 6. Calculate f(g). -6 Let v = 5 + 0. Suppose i + 20 = 3*u, 2*u + 2*i + v = -i. Suppose -5*w - 3*j + 17 = 0, u*w - 3*j + 15 = 2*j. Let b(r) = 5*r - 1. Give b(w). 4 Suppose n = -v, 0 = -4*n + 3*n - 3. Let o(u) = -5*u + 0*u**3 + 2*u**2 - v + 0*u**3 + u**3. Calculate o(-3). 3 Suppose -10*x + 13*x + 2*n - 3 = 0, -4*x = 5*n + 3. Let s(w) be the second derivative of 2*w - 1/2*w**2 + 0 + 4/3*w**x. What is s(1)? 7 Let r(b) be the second derivative of b**5/4 - b**4/3 - b**3/3 + 3*b**2 + b. Let n(d) = -d**2 + 1. Let z(i) = 5*n(i) - r(i). What is z(1)? -5 Suppose 0 = p - 3*t - t + 4, 0 = 3*p - 5*t - 2. Suppose -p*r = -8*r + 16. Let k(b) = 4 + 3*b**2 + 17*b**3 - 18*b**3 - 4*b + 6*b. Determine k(r). -4 Let y = 49 + -45. Let w(h) = -h + 3. Calculate w(y). -1 Let y(j) = j**3 + 4*j**2 + 3*j - 1. Let i be 1/(-1)*(-5 - -8). Calculate y(i). -1 Suppose -3 = 5*m + 2. Let v(f) = 7*f**2 - f. Let z be v(m). Suppose z*y - 3*y = 10. Let j(q) = -2*q - 1. Give j(y). -5 Let j be (36/48)/(2/(-16)). Let l(f) be the second derivative of f**5/20 + 5*f**4/12 - 3*f**3/2 - 7*f**2/2 - f. Give l(j). 11 Let z(v) = -3*v - v + v + 5. Let o(y) = 2*y - 5. Suppose 0*c + 9 = 3*c. Let n(q) = c*z(q) + 4*o(q). Calculate n(-3). -2 Let x(g) = -g**2 + g - 1. Let k = -9 + 12. Suppose -12 = -3*u + 15. Suppose k*r = u - 0. What is x(r)? -7 Let g be (10/(-3))/(2/(-3)). Let l(q) = q + 3*q - 2*q - 5. What is l(g)? 5 Let s(l) = -l**2 + 3*l + 7. Suppose -2*r + 5 = -5. Determine s(r). -3 Let l = -31 + 34. Let r(z) = -z**2 + 3*z - 2. Calculate r(l). -2 Let d(t) = -t**3 + 3*t**2. Let x be 1/(-4)*(-15 + 3). Let p(n) = -3 - x + 5*n + 4. Let y be p(1). Give d(y). 0 Let h(s) = 2*s**2 + 3*s + 9. Let u = 14 - 12. Let l(j) = -j**2 - j - 5. Let m(y) = u*h(y) + 5*l(y). Determine m(0). -7 Suppose -3*k + 3 = 5*l - 5, 3*l + 5*k = 8. Let m(u) be the third derivative of 1/12*u**4 + 0*u + 0 - 1/6*u**3 - 2*u**2 - 1/10*u**5. What is m(l)? -5 Let h(b) = -b + 4. Let o(q) = -q**3 - 7*q**2 + q + 9. Let r be o(-7). Let z be h(r). Suppose -z*p - 9 = p. Let x(w) = 2*w**2 + 4*w - 1. Calculate x(p). 5 Let v(g) = -12*g + 1. Let i = 2 + 11. Suppose 5*k = -0*x + 3*x - 1, 4*x - i = -5*k. Determine v(k). -11 Let u be (-2 + 21/9)*9. Let d be (-2)/(-1)*u/6. Let o be d/(3 - (-11)/(-4)). Let s(q) = -q + 2. Give s(o). -2 Suppose -59*l + 65*l = 12. Let t(m) = 2*m - 2*m + m**2 - 3 + 2*m. Calculate t(l). 5 Let f(l) = l**2 - 6*l + 2. Suppose -4*v - 24 = 5*w, -3*v + 19 = -5*w - 2*v. Let c(d) = 2*d**2 + 4*d + 3. Let h be c(w). Let r be h/7 - 8/(-28). Determine f(r). -7 Let i(a) = a - 2*a + 2 + 0 + 0. Calculate i(6). -4 Let a(m) be the first derivative of -3 + 5/2*m**2 - 2*m - 1/3*m**3. Calculate a(4). 2 Let b(p) be the third derivative of 0 + 1/24*p**4 + 0*p + 0*p**3 - 7*p**2. Determine b(3). 3 Let g(s) = 1 - 2655*s + 2655*s - s**2. Let k be 4 + 0/(-3 - -1). Let w = -6 + k. Give g(w). -3 Let j(b) = -b**2 + 2*b. Let m be ((-2)/(-3))/((-4)/(-18)). Suppose 4*f = -0*c - c + m, -f = c + 3. Determine j(f). 0 Suppose o + 5*j + 18 = 0, 2*o + 0*o - 4*j = 20. Let l(t) = 3*t**2 - 7. Let a(m) = m**2 - 2. Let p(y) = 7*a(y) - 2*l(y). Give p(o). 4 Let g(c) = 5*c**2 - 3*c - 1. Let y(b) = 4*b**2 - 3*b - 1. Let a(u) = 3*g(u) - 4*y(u). Let p(n) = -3*n - 3. Let d be p(-2). What is a(d)? 1 Suppose 5*z + 43 - 3 = 0. Let t be 9/(-6)*z/3. Let h = t - 0. Let v(d) = -d**2 + 5*d - 2. What is v(h)? 2 Let n(u) be the second derivative of u**3/6 + 3*u**2/2 - 5*u. Give n(4). 7 Let j(r) = -3*r**2 + 0*r + 2*r**2 - 4*r. Determine j(-5). -5 Let k(z) be the third derivative of 0*z + 1/3*z**3 + z**2 - 1/24*z**4 + 0. Suppose 6*x + 8 = 26. What is k(x)? -1 Let p(z) = z - 1. Suppose 2*w - 6 = -w. Suppose 2 + 0 = w*x. Let a = -2 + x. What is p(a)? -2 Let k(l) = -l - 2. Let a = -21 - -18. Let s(o) = 4*o + 4. Let j(v) = v + 1. Let p(n) = 10*j(n) - 3*s(n). Let q be p(a). Calculate k(q). -6 Let f(n) = n**2 - 3*n - 5. Suppose 0 = -3*m - 3 - 0, 0 = -w + 4*m + 7. Let c be (-12)/2*(-2)/w. What is f(c)? -1 Let y(k) be the second derivative of k**4/6 - k**3/3 + k**2/2 - 14*k. What is y(2)? 5 Let p(g) be the second derivative of g**4/6 - g**3 + 5*g**2/2 + 13*g. What is p(4)? 13 Let z(t) = -t**2 + t - 5. Let p be z(0). Suppose 0 = 2*y - 10, 3*y - 19 = o - y. Let w(g) = -3*g + 4 + o - g**2 + 2. What is w(p)? -3 Suppose 0 = -2*t - q, 2*t + 0*t + 5*q + 16 = 0. Let x(r) = -3*r + r + t*r - 1 - r. Calculate x(5). -6 Let c(j) = 128 + j**3 - 3*j - 63 - 64. What is c(2)? 3 Let l(q) be the first derivative of -5*q - 7/2*q**2 + 5 - 1/3*q**3. Determine l(-6). 1 Let z(p) = -p**2 + 4*p + 6. Suppose 16 - 37 = -5*t - 4*l, -3*t + 11 = 4*l. What is z(t)? 1 Let z be (4/14)/((-4)/(-28)). Suppose -z*f = -4*f - 8. Let t(h) = h + 1. Let n(c) = 2*c - 2. Let p(s) = -n(s) + 4*t(s). What is p(f)? -2 Let q(m) = -2 - 7*m - 10*m + 20*m. Suppose -12 - 8 = -5*v. Give q(v). 10 Let g(v) = -v**3 - 2*v**2 - 3*v. Let m(s) = 2*s + 2. Let o be 0 - (9/3 + -1). Let h be m(o). Give g(h). 6 Let z(b) = -2*b - 1. Let n(v) = -v**3 - 5*v**2 - 5*v + 4. Let i be n(-4). Let d(o) = o**2 - 8*o + 2. Let y be d(i). Suppose y = 4*r - 2*r. Determine z(r). -3 Let j(u) = -u**3 - 8*u**2 + 11*u. Let w be j(-9). Let i = -12 - w. Let b(k) be the second derivative of -k**3/6 + 4*k**2 - 2*k. Give b(i). 2 Let x be (12/(-10))/((-1)/25). Suppose q + j + 4*j = x, 4*q - 40 = -4*j. Let l(v) = 3*v**2 + 3 + 6*v - 5*v**2 + v**2. Calculate l(q). 8 Let i(d) = -9 - 3*d + d**3 + d**2 + d + 7. Give i(-2). -2 Let x(j) be the first derivative of -j**2/2 - 2*j - 1
{ "pile_set_name": "DM Mathematics" }
4) + sqrt(576)*-1). -5*sqrt(11)/11 Simplify (sqrt(11) + (-1*sqrt(88))/sqrt(8) + sqrt(11) - sqrt(275)*-5)**2. 7436 Simplify 5*(-1 + sqrt(720) + 2). 5 + 60*sqrt(5) Simplify sqrt(26)/(-1*sqrt(242) - sqrt(242)). -sqrt(13)/22 Simplify 2*sqrt(63)*-4. -24*sqrt(7) Simplify (sqrt(16) + (sqrt(16) - ((sqrt(576) - sqrt(16)) + sqrt(16))))/sqrt(2). -8*sqrt(2) Simplify 1*(-4 + (sqrt(180) - (sqrt(180) + 2))). -6 Simplify (sqrt(108) + 2)**2*-4*3. -1344 - 288*sqrt(3) Simplify sqrt(11) + -1 + sqrt(11) + 5 - sqrt(11) - (sqrt(11) + sqrt(275) + -5). -5*sqrt(11) + 9 Simplify (1 + sqrt(200))**2 + 3 + sqrt(18). 23*sqrt(2) + 204 Simplify ((sqrt(1216) + 1 - sqrt(1216))**2*4 - sqrt(1216)) + (sqrt(1216) - ((0 + sqrt(1216))*-4 - sqrt(1216))**2). -30396 Simplify ((sqrt(147) - (-1 + sqrt(147)))**2 - sqrt(3)*-3*-1)*-2. -2 + 6*sqrt(3) Simplify (sqrt(68) - sqrt(17)) + 2 + -2. sqrt(17) Simplify sqrt(68)/sqrt(4)*-6 + (2 + sqrt(17) + 1)**2. 26 Simplify 4*(sqrt(51)/(sqrt(6)/sqrt(2)) + sqrt(17) + (sqrt(17) - (((sqrt(136)*2)/sqrt(8))**2 + sqrt(17)))). -272 + 8*sqrt(17) Simplify sqrt(1377) - (-3*(sqrt(1377) + 3) + sqrt(1377))**2. -5589 - 315*sqrt(17) Simplify 5 + (sqrt(700)*2 + sqrt(700) + 0)**2. 6305 Simplify (2 + (2*sqrt(75) - sqrt(75))**2)*2. 154 Simplify (-2*sqrt(832) + 3 + sqrt(832))**2*4. -192*sqrt(13) + 3364 Simplify -1*sqrt(176) + (sqrt(11) - sqrt(99))**2*-4. -176 - 4*sqrt(11) Simplify sqrt(32)*4 - (sqrt(2) + (1 + sqrt(128))**2). -129 - sqrt(2) Simplify (sqrt(108))**2 + -2 - (sqrt(363)*-4)**2. -5702 Simplify (-1*sqrt(416) - sqrt(26))/sqrt(2) + -4. -5*sqrt(13) - 4 Simplify (1 + sqrt(1872))*6. 6 + 72*sqrt(13) Simplify -1*sqrt(57)/sqrt(3) + (sqrt(76) + -1)**2 + 3. -5*sqrt(19) + 80 Simplify sqrt(65)/sqrt(80) + sqrt(26)/sqrt(2)*2. 9*sqrt(13)/4 Simplify 2*(sqrt(13) + 1)*5. 10 + 10*sqrt(13) Simplify (sqrt(176) + 2 - sqrt(880)/sqrt(5))**2. 4 Simplify sqrt(2) + -4 + 2 + 5. sqrt(2) + 3 Simplify (0 + sqrt(75) + (sqrt(75) - (0 + sqrt(75))))**2. 75 Simplify 2 + sqrt(1700) + 5 + 5. 12 + 10*sqrt(17) Simplify (-2 + (sqrt(539) - (sqrt(539) + -4*sqrt(539)*-2 + sqrt(539))))**2. 252*sqrt(11) + 43663 Simplify sqrt(49)/(sqrt(14)/(sqrt(2)*1))*1. sqrt(7) Simplify sqrt(12) + sqrt(3) + 1 + sqrt(3) + (sqrt(75) + 1)**2. 14*sqrt(3) + 77 Simplify -1 + ((sqrt(114) - sqrt(114)*-1) + sqrt(114))/sqrt(6). -1 + 3*sqrt(19) Simplify sqrt(99)/((sqrt(9) + sqrt(27)/sqrt(3))*4). sqrt(11)/8 Simplify (((sqrt(1300) - (-2 + sqrt(1300))) + sqrt(1300))**2 + sqrt(1300) + 5)*-3. -3927 - 150*sqrt(13) Simplify (sqrt(72)/sqrt(3)*1)/(sqrt(72)/sqrt(81)). 3*sqrt(3) Simplify -2 + (4 + sqrt(27))**2. 41 + 24*sqrt(3) Simplify (4*sqrt(700)*3 + -1)**2. -240*sqrt(7) + 100801 Simplify (1 + 4*-2*(sqrt(539) + 0))**2. -112*sqrt(11) + 34497 Simplify 5 + 5*-2*sqrt(171). -30*sqrt(19) + 5 Simplify -1 + sqrt(612) + 1 + 4. 4 + 6*sqrt(17) Simplify (-1 + sqrt(52))**2 + sqrt(13) + -2*sqrt(832). -19*sqrt(13) + 53 Simplify (sqrt(27) + (sqrt(27) - -6*sqrt(54)/sqrt(2)))**2. 1728 Simplify 4 + 1*sqrt(19) + sqrt(19) + 0. 4 + 2*sqrt(19) Simplify (0 + sqrt(847)*-1 + sqrt(847))*2*-4. 0 Simplify -6*sqrt(76) - (1 + sqrt(1216)). -20*sqrt(19) - 1 Simplify sqrt(114)/(sqrt(24)*5 - sqrt(6)) + -5. -5 + sqrt(19)/9 Simplify sqrt(21)/((sqrt(21)*-2)/sqrt(3)). -sqrt(3)/2 Simplify 3 + (sqrt(20)*2*1)/(sqrt(4) + -2*-1*sqrt(4)). 2*sqrt(5)/3 + 3 Simplify (sqrt(84) + (sqrt(84) - (1*sqrt(84)*2 - sqrt(84) - sqrt(84))))/((sqrt(48) + sqrt(12))*5). 2*sqrt(7)/15 Simplify (6*(sqrt(209) + -1*sqrt(209) + sqrt(209)))/(sqrt(33)/sqrt(12) + sqrt(11)). 4*sqrt(19) Simplify (2*sqrt(39)/sqrt(3))**2*4. 208 Simplify ((-2 + sqrt(325))**2 + 2 - sqrt(325)) + 3. -25*sqrt(13) + 334 Simplify -4*sqrt(88)/sqrt(2) + (-4 + -2*sqrt(11))*-4. 16 Simplify (-4 + sqrt(13)*-6 - sqrt(117)*-1)**2. 24*sqrt(13) + 133 Simplify -2*sqrt(17)*4 + sqrt(17) + 5. -7*sqrt(17) + 5 Simplify (-4 + sqrt(99)*1 + 0)**2. -24*sqrt(11) + 115 Simplify -6*sqrt(125)*3. -90*sqrt(5) Simplify ((1*sqrt(441) + sqrt(441))/sqrt(7))/(sqrt(108)/(sqrt(12)*-2)). -4*sqrt(7) Simplify 5 + sqrt(35)/(3*sqrt(7)) + -2. sqrt(5)/3 + 3 Simplify ((-1*sqrt(91)*1)/(2*sqrt(7)*2))**2. 13/16 Simplify 4*sqrt(176) + -4*(3*sqrt(11))**2. -396 + 16*sqrt(11) Simplify 6*(-1*sqrt(128))**2. 768 Simplify 3*((1 + sqrt(112))**2 + sqrt(112)). 36*sqrt(7) + 339 Simplify 1*(sqrt(1872)*-2)**2. 7488 Simplify (sqrt(40)/(-3*sqrt(128)))**2. 5/144 Simplify ((1 + sqrt(19) + 0 - sqrt(19) - (sqrt(684) + -1)) + -4*((sqrt(57) - sqrt(114)/sqrt(2)) + sqrt(57))/sqrt(3))**2. -40*sqrt(19) + 1904 Simplify (-3*(1 + sqrt(13)) + (sqrt(78)/(sqrt(18)/sqrt(3)) - sqrt(13)) + sqrt(13))**2. 12*sqrt(13) + 61 Simplify (sqrt(176) + sqrt(176)*1 + -5 - sqrt(176)) + sqrt(176). -5 + 8*sqrt(11) Simplify ((-2*(sqrt(17) + 4 + sqrt(17)) + 2)*3)**2. 432*sqrt(17) + 2772 Simplify -1 + sqrt(17) + 1 + (sqrt(17) - (sqrt(17) - (-1 + sqrt(17) + -1)))**2. -3*sqrt(17) + 21 Simplify (sqrt(216) + (1*sqrt(216) - sqrt(216)))/(sqrt(972)*-1 + sqrt(12)). -3*sqrt(2)/8 Simplify (-5*(-4 + (-3 + sqrt(1573) - sqrt(1573))))**2. 1225 Simplify (((sqrt(17) - (sqrt(17) + 1)) + sqrt(17))**2 - sqrt(17))*-3 + 5. -49 + 9*sqrt(17) Simplify sqrt(34)/sqrt(2) + 3 + (sqrt(17) + -1 + -1 + sqrt(17) - sqrt(17)). 1 + 2*sqrt(17) Simplify sqrt(48)*-4 + ((sqrt(3)*-1)**2 - sqrt(3))*6. -22*sqrt(3) + 18 Simplify (sqrt(637) + -5*sqrt(637)*-3)**2 - sqrt(637). -7*sqrt(13) + 163072 Simplify (sqrt(2240)*1)/(2*sqrt(320) + sqrt(320)). sqrt(7)/3 Simplify sqrt(153)/(-1*sqrt(81)). -sqrt(17)/3 Simplify (-5 + sqrt(637) - (sqrt(1300) + sqrt(1300) + 0)) + -5. -13*sqrt(13) - 10 Simplify -5 + (-1*sqrt(208) + 2)**2. -16*sqrt(13) + 207 Simplify -2 + (-2 + sqrt(2880) - sqrt(20)). -4 + 22*sqrt(5) Simplify sqrt(200) + (sqrt(200) - (-4 + sqrt(200) + 0)) - (1*sqrt(200) + -3)**2. -205 + 70*sqrt(2) Simplify (-2*sqrt(225))/(sqrt(125)*-2 + sqrt(125)). 6*sqrt(5)/5 Simplify ((sqrt(7) + sqrt(2016)/sqrt(8) + sqrt(7) + sqrt(7))**2 + sqrt(7) - (sqrt(7) - (6*(sqrt(7) - (0 + sqrt(7))))**2)) + 4. 571 Simplify sqrt(51)/(sqrt(3) - (sqrt(144)/sqrt(3) + sqrt(3) - sqrt(3)))*2. -2*sqrt(17)/3 Simplify (4*(sqrt(133) - -2*sqrt(133)) + sqrt(133))/sqrt(252). 13*sqrt(19)/6 Simplify (-6*sqrt(102)*2 - sqrt(102))/sqrt(6). -13*sqrt(17) Simplify sqrt(10)/((sqrt(2) - -1*sqrt(2))*-1). -sqrt(5)/2 Simplify sqrt(84)/(sqrt(48)/sqrt(4)*-6). -sqrt(7)/6 Simplify (sqrt(2448) + -4 + 1 + sqrt(2448) + sqrt(2448))**2*-6. -132246 + 1296*sqrt(17) Simplify (((sqrt(7) + 0)*-5)**2 + sqrt(7))*5. 5*sqrt(7) + 875 Simplify (((sqrt(110) - sqrt(110)*2) + sqrt(110))*5 - sqrt(110))/(sqrt(810)*-1). sqrt(11)/9 Simplify (3*(-2*sqrt(102) - sqrt(102)))/(1*sqrt(6)*-3). 3*sqrt(17) Simplify ((sqrt(136) + ((sqrt(136) + (sqrt(136) + (sqrt(136)*-2 - sqrt(136)) - sqrt(136)) - sqrt(136))*6 - sqrt(136)))/(-2*sqrt(128)))**2. 1377/16 Simplify ((-1*sqrt(480))/sqrt(12))/(sqrt(8) + sqrt(96)/sqrt(108)). -3*sqrt(5)/4 Simplify (sqrt(72) + -4)*-6. -36*sqrt(2) + 24 Simplify sqrt(68)/sqrt(4)*-4*5 - (5 + (sqrt(68))**2 + 1). -20*sqrt(17) - 74 Simplify ((sqrt(66)/sqrt(2))/sqrt(11) + (sqrt(36)/sqrt(4))/sqrt(3) + sqrt(3))*-1. -3*sqrt(3) Simplify (sqrt(1300) - 1*sqrt(1300))**2*2. 0 Simplify (-4 + ((sqrt(85) + 1*sqrt(85))*-4)/(sqrt(40)/(-1*sqrt(8))))**2. -64*sqrt(17) + 1104 Simplify sqrt(104)/sqrt(32) + (sqrt(13) - sqrt(26)/sqrt(18)). 7*sqrt(13)/6 Simplify (6*2*sqrt(65) - sqrt(65))/sqrt(5). 11*sqrt(13) Simplify (sqrt(250)/sqrt(5)*-3)/sqrt(10). -3*sqrt(5) Simplify sqrt(171)*-2*2. -12*sqrt(19) Simplify (sqrt(108) + 1)**2*-1. -109 - 12*sqrt(3) Simplify (sqrt(90)/sqrt(2)*1)**2 + 4. 49 Simplify (3 + (sqrt(10) + (sqrt(1440) - sqrt(1440)*-1))/sqrt(2))**2. 150*sqrt(5) + 3134 Simplify (((sqrt(637) - (2 + sqrt(637))) + sqrt(637))*4)**2. -448*sqrt(13) + 10256 Simplify ((sqrt(126)/(1*sqrt(2)))/((sqrt(135)/sqrt(5))/sqrt(3)))**2. 7 Simplify ((-1*sqrt(567))**2 - sqrt(7)) + -2. -sqrt(7) + 565 Simplify -3*(sqrt(484)/sqrt(11)*-5 + sqrt(44))**2. -2112 Simplify -4*(2 + -1 + sqrt(396))*5. -120*sqrt(11) - 20 Simplify ((sqrt(153) + 2)*-4)**2*-5. -12560 - 960*sqrt(17) Simplify -2 + (sqrt(14)/sqrt(2)*-1 + (sqrt(7) - sqrt(189)/sqrt(3)))**2. 61 Simplify -5 + ((sqrt(1216) - (sqrt(1216) + -1 + sqrt(1216) + -2))*2)**2. -192*sqrt(19) + 4895 Simplify 2*(2*2*sqrt(17) + sqrt(17) - (-4*(sqrt(17) + 2*sqrt(17)))**2). -4896 + 10*sqrt(17) Simplify (sqrt(475)*1 + sqrt(114)/(sqrt(12)/sqrt(2)) + sqrt(19))*2.
{ "pile_set_name": "DM Mathematics" }
1407. 0 Calculate -3324 divided by 6. -554 Divide -4264 by 26. -164 Calculate 95 divided by 6. 95/6 1631 divided by -5 -1631/5 Calculate 37752 divided by 6. 6292 Divide 39 by 5. 39/5 -3270 divided by -5 654 Divide -1 by -399. 1/399 0 divided by -290 0 What is 820 divided by 82? 10 Divide 2835 by -81. -35 Calculate 6 divided by 15. 2/5 6 divided by -461 -6/461 Divide 32427 by -1. -32427 Divide 1476 by 9. 164 347 divided by -5 -347/5 What is -335 divided by -4? 335/4 What is -11520 divided by 60? -192 Calculate -3 divided by 349. -3/349 Divide 432 by -54. -8 -2 divided by -56 1/28 Divide -1 by 53. -1/53 Divide -38 by -2. 19 Calculate -1827 divided by -7. 261 Divide 237 by -3. -79 242 divided by -5 -242/5 Calculate 243 divided by -3. -81 What is -90 divided by -30? 3 Calculate -1 divided by 41. -1/41 Divide 0 by 145. 0 Calculate 9 divided by 13. 9/13 What is -1 divided by 13? -1/13 What is 3 divided by 402? 1/134 75 divided by -19 -75/19 Calculate 4 divided by -43. -4/43 -372 divided by -1 372 Calculate 25272 divided by 52. 486 What is 3798 divided by 422? 9 What is -3 divided by 382? -3/382 Divide 1305 by 9. 145 Calculate -570 divided by -190. 3 Calculate -23304 divided by 6. -3884 Divide -272 by 9. -272/9 What is 33 divided by 1? 33 252 divided by 18 14 Divide -762 by 6. -127 Divide -1 by -77. 1/77 18092 divided by 4 4523 Divide 0 by -952. 0 3718 divided by -2 -1859 Calculate -180 divided by -90. 2 Calculate -249 divided by 249. -1 112 divided by -7 -16 Calculate 128 divided by -64. -2 Divide 2 by 950. 1/475 -4 divided by -7 4/7 What is -3910 divided by 5? -782 -1427 divided by 10 -1427/10 Calculate 3 divided by 696. 1/232 Calculate 171 divided by -67. -171/67 -9678 divided by 3226 -3 Calculate 9230 divided by 5. 1846 Divide 3102 by -6. -517 19 divided by -7 -19/7 What is -5 divided by -216? 5/216 -2 divided by 18 -1/9 Calculate 661 divided by -661. -1 Divide -300 by -60. 5 Divide 102 by 6. 17 What is -40 divided by -4? 10 What is -180 divided by -12? 15 What is 1620 divided by -3? -540 What is -1050 divided by 4? -525/2 What is 3159 divided by 81? 39 Calculate -5 divided by -475. 1/95 25 divided by 5 5 Divide 130 by 1. 130 What is 920 divided by -7? -920/7 32 divided by -46 -16/23 Calculate 27714 divided by -6. -4619 Divide 162 by 12. 27/2 Calculate -3120 divided by -780. 4 Divide -16530 by -6. 2755 Calculate 1902 divided by -6. -317 1 divided by 40 1/40 What is 11 divided by -17? -11/17 Calculate 9 divided by 1457. 9/1457 Calculate 515 divided by -103. -5 1356 divided by 3 452 Calculate -382 divided by 2. -191 What is 63 divided by -7? -9 -3 divided by -57 1/19 Divide -3 by 885. -1/295 8234 divided by 4117 2 Divide 2 by 139. 2/139 Calculate -1116 divided by 1. -1116 What is -7085 divided by -1? 7085 Divide -4743 by 5. -4743/5 7362 divided by -2454 -3 Divide -13 by -818. 13/818 Calculate 516 divided by -12. -43 Divide -62 by -31. 2 4 divided by -71 -4/71 638 divided by 1 638 What is -857 divided by -3? 857/3 Calculate 46 divided by -159. -46/159 Divide 2445 by 489. 5 Calculate 19 divided by 16. 19/16 What is 56 divided by 47? 56/47 Calculate 384 divided by -6. -64 Divide 4 by -2524. -1/631 What is -52 divided by -121? 52/121 Divide -637 by 6. -637/6 -1465 divided by 293 -5 Calculate -38 divided by -6. 19/3 What is 52 divided by -13? -4 5655 divided by -5 -1131 Divide 0 by -2083. 0 Divide 812 by -7. -116 Calculate -1 divided by -223. 1/223 What is 1240 divided by -248? -5 What is -4 divided by -5662? 2/2831 Divide 1 by -57. -1/57 Calculate 0 divided by -2534. 0 Calculate 38 divided by -2. -19 1 divided by 399 1/399 What is -4 divided by -25? 4/25 What is -80804 divided by 4? -20201 Divide -24 by -51. 8/17 Calculate 1986 divided by -2. -993 Divide 290 by 5. 58 Calculate -18 divided by -86. 9/43 What is -10523 divided by 619? -17 Divide 105 by -7. -15 What is -57 divided by -57? 1 3052 divided by -8 -763/2 3178 divided by 227 14 Calculate 401 divided by -3. -401/3 What is 57 divided by -3? -19 What is 252 divided by -14? -18 Divide 135 by -4. -135/4 6 divided by -33 -2/11 109 divided by -4 -109/4 What is 567 divided by 11? 567/11 -62 divided by 1 -62 -2476 divided by -619 4 What is 3 divided by -3? -1 1528 divided by 4 382 72 divided by -79 -72/79 11 divided by 394 11/394 What is -1 divided by 146? -1/146 What is -116 divided by -2? 58 What is 228 divided by -76? -3 70 divided by -35 -2 Divide -140 by -10. 14 Divide 1084 by -4. -271 Divide -249 by 6. -83/2 Divide 690 by -10. -69 Divide 0 by 42. 0 Divide 908 by 28. 227/7 Calculate 40 divided by 138. 20/69 Divide 4 by -579. -4/579 Calculate -42 divided by 22. -21/11 -296 divided by -1 296 Divide 3 by -8. -3/8 What is 1775 divided by -3? -1775/3 4200 divided by -100 -42 What is -67 divided by -180? 67/180 5432 divided by 679 8 Divide -102 by 6. -17 Calculate 18 divided by -45. -2/5 Divide 5868 by 2. 2934 What is 1196 divided by -13? -92 Calculate -4950 divided by 825. -6 What is 4 divided by 207? 4/207 Calculate 2568 divided by -1284. -2 -53 divided by -2 53/2 Divide -18711 by 3. -6237 Calculate -2157 divided by 719. -3 16 divided by -86 -8/43 -808 divided by 12 -202/3 What is -194 divided by 1? -194 Divide -64 by -5. 64/5 499 divided by 499 1 -1 divided by 1427 -1/1427 Divide -190 by -95. 2 Calculate 6 divided by 1170. 1/195 Calculate 2 divided by -23. -2/23 What is -15 divided by 1? -15 Calculate 6 divided by -92. -3/46 -520 divided by 104 -5 Calculate 2 divided by -115. -2/115 -9 divided by 68 -9/68 Divide 4032 by 36. 112 Calculate -117 divided by 39. -3 What is -62 divided by -31? 2 -46 divided by 46 -1 What is 1680 divided by 70? 24 What is -3254 divided by 1? -3254 What is -3 divided by -380? 3/380 Calculate 3 divided by -77. -3/77 Divide 49 by -4. -49/4 Calculate 0 divided by -108. 0 What is 312 divided by -3? -104 What is 5 divided by 49? 5/49 What is 400 divided by 1? 400 Divide 248 by -1. -248 Calculate 35 divided by 35. 1 Divide -499 by -6. 499/6 -355 divided by -11 355/11 What is 616 divided by -1? -616 140 divided by -14 -10 What is 1110 divided by 3? 370 20 divided by 4 5 What is -168 divided by 2? -84 Divide -11 by 5. -11/5 What is -3 divided by 2726? -3/2726 2625 divided by -105 -25 Calculate 2574 divided by 6. 429 Calculate -51 divided by -217. 51/217 Calculate -23 divided by 5. -23/5 0 divided by 110 0 What is 3245 divided by 1? 3245 3892 divided by -973 -4 Calculate 783 divided by -27. -29 5 divided by -52 -5/52 Calculate -1656 divided by -1. 1656 Divide 315 by 63. 5 Calculate 42 divided by -75. -14/25 Divide -6 by -46. 3/23 Calculate -5865 divided by -391. 15 3 divided by -189 -1/63 Calculate -1145 divided by 1. -1145 Calculate 6 divided by 315. 2/105 What is 22 divided by -6? -11/3 -820 divided by 2 -410 Divide -2262 by 6. -377 Calculate -2604 divided by 6. -434 What is -8 divided by 42? -4/21 What is -945 divided by -45? 21 What is 1470 divided by -147? -10 What is -4440 divided by 6? -740 928 divided by -4 -232 Divide 441 by -1. -441 Calculate 7 divided by -157. -7/157 67 divided by -35 -67/35 232 divided by 4 58 7 divided by 144 7/144 -3140 divided by -5 628 Calculate -176 divided by -88. 2 Divide -236 by 34. -118/17 What is 1176 divided by -1176? -1 Divide 1113 by -6. -371/2 Calculate -2 divided by -19. 2/19 What is -835 divided by -5? 167 Calculate 2 divided by 11. 2/11 Calculate 3 divided by -2156. -3/2156 Divide 54 by -6. -9 Divide 310 by 62. 5 Divide -25 by 1. -25 What is -6265 divided by 5? -1253 Calculate -110 divided by -22. 5 1359 divided by -3 -453 Calculate -1720 divided by -344. 5 Calculate 78330 divided by -5. -15666 What is 96 divided by -6? -16 899 divided by -29 -31 Calculate -1176 divided by -84. 14 Calculate 5 divided by 260. 1/52 What is 0 divided by -38? 0 Divide 2 by 656. 1/328 What is 4480 divided by -112? -40 Calculate -7 divided by 137. -7/137 Divide -2950 by -59. 50 Calculate 1455 divided by -291. -5 348 divided by -87 -4 Divide -21942 by 477. -46 What is 1426 divided by 46? 31 77 divided by 77 1 What is -4 divided by -1468? 1/367 1 divided by 1537 1/1537 Calculate 82 divided by -41. -2 Calculate -7 divided by -2631. 7/2631 Divide -3 by 15. -1/5 What is -18 divided by -440? 9/220 Divide 4 by 362. 2/181 Divide 2014 by 38. 53 Calculate 31699 divide
{ "pile_set_name": "DM Mathematics" }
e between 11:22 PM and 3:52 AM? 270 What is 154 minutes before 5:58 AM? 3:24 AM What is 705 minutes after 4:42 AM? 4:27 PM How many minutes are there between 9:17 PM and 2:00 AM? 283 How many minutes are there between 12:46 AM and 5:50 AM? 304 What is 14 minutes after 1:42 AM? 1:56 AM How many minutes are there between 2:00 AM and 2:49 AM? 49 What is 240 minutes before 3:18 PM? 11:18 AM What is 11 minutes after 12:48 PM? 12:59 PM How many minutes are there between 7:17 PM and 12:09 AM? 292 How many minutes are there between 4:02 AM and 4:50 AM? 48 How many minutes are there between 1:47 AM and 5:56 AM? 249 What is 416 minutes after 6:19 AM? 1:15 PM What is 90 minutes after 8:56 PM? 10:26 PM What is 535 minutes after 11:57 PM? 8:52 AM How many minutes are there between 9:56 PM and 8:26 AM? 630 What is 153 minutes after 7:56 AM? 10:29 AM How many minutes are there between 3:35 PM and 8:39 PM? 304 How many minutes are there between 8:05 AM and 3:42 PM? 457 How many minutes are there between 9:58 PM and 9:10 AM? 672 How many minutes are there between 6:45 AM and 11:45 AM? 300 What is 663 minutes after 6:49 PM? 5:52 AM What is 82 minutes after 1:14 PM? 2:36 PM What is 605 minutes before 4:16 AM? 6:11 PM How many minutes are there between 10:13 AM and 3:04 PM? 291 What is 62 minutes before 5:07 PM? 4:05 PM How many minutes are there between 3:51 AM and 11:19 AM? 448 How many minutes are there between 10:06 PM and 9:09 AM? 663 What is 345 minutes before 5:03 PM? 11:18 AM What is 76 minutes before 6:32 PM? 5:16 PM How many minutes are there between 9:40 PM and 8:14 AM? 634 What is 2 minutes before 2:04 PM? 2:02 PM How many minutes are there between 4:27 PM and 3:10 AM? 643 How many minutes are there between 12:01 PM and 2:16 PM? 135 What is 416 minutes before 1:25 AM? 6:29 PM How many minutes are there between 1:58 AM and 2:38 AM? 40 How many minutes are there between 8:50 PM and 1:14 AM? 264 How many minutes are there between 8:19 AM and 6:15 PM? 596 How many minutes are there between 12:27 PM and 8:38 PM? 491 What is 292 minutes before 9:10 AM? 4:18 AM How many minutes are there between 4:52 AM and 1:50 PM? 538 What is 587 minutes after 1:47 AM? 11:34 AM How many minutes are there between 1:00 AM and 11:10 AM? 610 What is 111 minutes before 9:09 AM? 7:18 AM What is 406 minutes after 7:53 PM? 2:39 AM What is 250 minutes before 9:32 AM? 5:22 AM How many minutes are there between 9:46 AM and 10:42 AM? 56 What is 607 minutes after 2:52 PM? 12:59 AM How many minutes are there between 11:18 AM and 12:48 PM? 90 What is 295 minutes before 8:51 PM? 3:56 PM What is 353 minutes before 7:36 PM? 1:43 PM How many minutes are there between 8:33 PM and 12:57 AM? 264 What is 152 minutes after 4:25 AM? 6:57 AM What is 525 minutes after 7:23 PM? 4:08 AM What is 345 minutes before 6:43 AM? 12:58 AM How many minutes are there between 1:09 AM and 3:48 AM? 159 How many minutes are there between 9:37 AM and 7:54 PM? 617 How many minutes are there between 11:32 PM and 8:16 AM? 524 How many minutes are there between 8:11 PM and 1:24 AM? 313 What is 270 minutes before 8:43 AM? 4:13 AM What is 115 minutes after 2:44 PM? 4:39 PM What is 266 minutes after 6:39 PM? 11:05 PM How many minutes are there between 2:15 PM and 8:22 PM? 367 What is 371 minutes before 2:52 AM? 8:41 PM What is 321 minutes after 8:38 PM? 1:59 AM What is 386 minutes before 8:34 AM? 2:08 AM How many minutes are there between 9:56 AM and 3:18 PM? 322 What is 279 minutes before 10:09 PM? 5:30 PM How many minutes are there between 4:13 AM and 7:44 AM? 211 What is 60 minutes before 8:15 PM? 7:15 PM How many minutes are there between 12:00 PM and 10:17 PM? 617 What is 456 minutes before 1:29 PM? 5:53 AM What is 697 minutes before 5:49 PM? 6:12 AM What is 293 minutes after 9:57 AM? 2:50 PM What is 353 minutes before 6:06 PM? 12:13 PM How many minutes are there between 8:04 AM and 4:17 PM? 493 What is 355 minutes before 4:58 AM? 11:03 PM How many minutes are there between 2:19 PM and 10:12 PM? 473 How many minutes are there between 7:32 AM and 8:43 AM? 71 How many minutes are there between 1:31 PM and 9:54 PM? 503 How many minutes are there between 7:21 AM and 8:02 AM? 41 What is 485 minutes before 1:59 AM? 5:54 PM How many minutes are there between 9:27 AM and 10:55 AM? 88 What is 528 minutes before 9:59 PM? 1:11 PM How many minutes are there between 9:45 PM and 2:34 AM? 289 What is 641 minutes before 3:29 AM? 4:48 PM What is 391 minutes after 4:58 PM? 11:29 PM How many minutes are there between 9:10 PM and 6:22 AM? 552 How many minutes are there between 10:28 AM and 5:47 PM? 439 How many minutes are there between 1:29 AM and 11:07 AM? 578 What is 576 minutes before 1:46 AM? 4:10 PM How many minutes are there between 11:58 AM and 9:50 PM? 592 How many minutes are there between 6:55 PM and 10:17 PM? 202 What is 458 minutes after 5:40 PM? 1:18 AM How many minutes are there between 5:40 PM and 3:16 AM? 576 What is 443 minutes after 8:23 AM? 3:46 PM What is 41 minutes before 10:02 AM? 9:21 AM What is 675 minutes before 6:42 PM? 7:27 AM How many minutes are there between 2:00 AM and 12:17 PM? 617 How many minutes are there between 2:28 AM and 10:55 AM? 507 How many minutes are there between 9:25 PM and 6:55 AM? 570 How many minutes are there between 11:58 PM and 5:52 AM? 354 How many minutes are there between 6:41 PM and 3:25 AM? 524 How many minutes are there between 1:56 AM and 3:25 AM? 89 What is 444 minutes before 5:49 AM? 10:25 PM What is 428 minutes after 5:31 AM? 12:39 PM What is 582 minutes after 9:21 PM? 7:03 AM How many minutes are there between 9:08 AM and 8:38 PM? 690 How many minutes are there between 6:32 AM and 5:47 PM? 675 What is 252 minutes after 1:08 AM? 5:20 AM What is 448 minutes after 1:13 AM? 8:41 AM How many minutes are there between 2:04 AM and 7:32 AM? 328 How many minutes are there between 6:09 PM and 2:02 AM? 473 How many minutes are there between 3:39 AM and 11:16 AM? 457 How many minutes are there between 5:36 AM and 1:12 PM? 456 What is 244 minutes before 1:08 AM? 9:04 PM How many minutes are there between 4:17 AM and 1:50 PM? 573 How many minutes are there between 9:59 AM and 9:30 PM? 691 What is 153 minutes before 7:04 AM? 4:31 AM How many minutes are there between 3:34 PM and 8:30 PM? 296 How many minutes are there between 4:44 PM and 9:47 PM? 303 What is 115 minutes after 2:44 PM? 4:39 PM How many minutes are there between 2:39 AM and 3:06 AM? 27 How many minutes are there between 8:05 AM and 9:35 AM? 90 What is 35 minutes before 7:19 AM? 6:44 AM What is 552 minutes after 3:33 PM? 12:45 AM How many minutes are there between 3:53 PM and 11:53 PM? 480 What is 209 minutes before 1:47 AM? 10:18 PM How many minutes are there between 8:16 PM and 2:22 AM? 366 How many minutes are there between 5:36 PM and 6:25 PM? 49 What is 142 minutes before 1:14 PM? 10:52 AM What is 703 minutes before 7:11 AM? 7:28 PM What is 372 minutes after 12:10 AM? 6:22 AM How many minutes are there between 1:21 AM and 9:44 AM? 503 How many minutes are there between 6:59 AM and 10:56 AM? 237 How many minutes are there between 6:10 PM and 5:10 AM? 660 How many minutes are there between 6:22 PM and 11:25 PM? 303 How many minutes are there between 6:47 AM and 11:36 AM? 289 How many minutes are there between 2:04 PM and 1:59 AM? 715 What is 194 minutes before 11:10 AM? 7:56 AM How many minutes are there between 9:14 PM and 5:04 AM? 470 How many minutes are there between 2:04 AM and 2:53 AM? 49 How many minutes are there between 12:05 AM and 10:29 AM? 624 What is 289 minutes before 2:47 PM? 9:58 AM How many minutes are there between 10:49 PM and 10:08 AM? 679 How many minutes are there between 10:21 PM and 1:44 AM? 203 How many minutes are there between 2:55 PM and 10:33 PM? 458 How many minutes are there between 4:53 PM and 3:50 AM? 657 How many minutes are there between 8:01 PM and 9:33 PM? 92 How many minutes are there between 4:14 PM and 3:19 AM? 665 What is 473 minutes before 10:57 PM? 3:04 PM What is 709 minutes before 1:02 PM? 1:13 AM What is 240 minutes before 11:21 AM? 7:21 AM How many minutes are there between 5:28 AM and 3:39 PM? 611 What is 607 minutes before 11:46 PM? 1:39 PM How many minutes are there be
{ "pile_set_name": "DM Mathematics" }
.1 What is the closest to 0.1 in 3, -0.06, 1, -3? -0.06 What is the closest to -0.1 in 0.5, -3, 0.85? 0.5 What is the closest to 0.4 in 4, -3/53, 2/17? 2/17 Which is the nearest to -1? (a) -4 (b) -3 (c) 0.25 c What is the nearest to 1/3 in 2/9, 2/105, -0.2, 0.4? 0.4 Which is the nearest to -4? (a) -5 (b) -17 (c) 0 (d) 3/4 a What is the closest to -6 in 12, 5, -2, -9? -9 What is the nearest to 1/14 in -2, -0.4, 35? -0.4 Which is the closest to -2/3? (a) -4 (b) 1/2 (c) 58 (d) 2 b Which is the closest to -2/3? (a) 2/13 (b) -4/27 (c) -2 (d) -3/4 d Which is the nearest to 1? (a) 2 (b) -2/11 (c) -21 a What is the closest to 6 in -5, 1/7, -0.5? 1/7 What is the nearest to 2/9 in -0.3, -3, -0.36? -0.3 Which is the nearest to 0? (a) -0.1 (b) 4/7 (c) 28 (d) 0 d Which is the nearest to 13? (a) -4 (b) 0 (c) 3 c What is the nearest to 0.1 in -2, -165, -2/9? -2/9 What is the nearest to 8/15 in 0.5, 0.3, 5, -3? 0.5 What is the nearest to -3 in -1/151, -1/4, 2/11, 0.3? -1/4 What is the nearest to -2/5 in 1, -2/3, 0, -2? -2/3 What is the closest to -0.1 in 5, -7, -0.02? -0.02 Which is the closest to 2/5? (a) -3 (b) 0.2 (c) -1 (d) -0.01 b What is the nearest to 1 in 0.3, 1/4, -2, -7/2? 0.3 What is the nearest to 2/7 in 5, 0, -1.6? 0 Which is the nearest to 0.0447? (a) 4 (b) -0.1 (c) 0.1 (d) -6/5 c Which is the nearest to -3? (a) 173 (b) -0.2 (c) -0.3 c Which is the nearest to 0? (a) 11/5 (b) 4 (c) -0.3 c Which is the nearest to 0? (a) 3 (b) 0.4 (c) -1/3 (d) -15 c Which is the nearest to 848? (a) -2/7 (b) -5 (c) -3 a What is the nearest to 1/3 in -0.2, 1/2, 7, 0.2? 0.2 Which is the closest to 3/157? (a) -0.5 (b) -0.16 (c) 0.3 b What is the closest to -2 in -34.9, -0.4, -5, -4? -0.4 Which is the nearest to -3? (a) 0 (b) -0.3 (c) 0.18 b What is the nearest to -4 in 0.3, 2/15, -5? -5 What is the closest to 0 in -3/10, 0, -4? 0 What is the closest to -8 in 0.17, 2, -2? -2 Which is the nearest to 0.1? (a) 14 (b) -5 (c) -2 (d) -19/9 c Which is the nearest to 0.069? (a) -2 (b) 4 (c) 0.2 (d) -4 c Which is the nearest to -19? (a) -1 (b) 1 (c) -4 (d) -2/21 c Which is the nearest to -1? (a) -3/11 (b) 1/3 (c) 4/3 (d) 4 a What is the closest to -1 in 3/5, -3, -0.2, -9? -0.2 Which is the nearest to 10/3? (a) 3 (b) -1/5 (c) 0 a What is the closest to -1 in 2, 1/9, 2/9? 1/9 What is the closest to -1 in 53, 6, 2, -5? 2 What is the closest to -2/7 in -50, 5, -2.3, 0.3? 0.3 Which is the nearest to 0.1? (a) 0 (b) -0.4 (c) 11 (d) 5 a What is the closest to 20 in 1/2, 5/3, -0.1, 3? 3 Which is the nearest to -3? (a) -1 (b) -2 (c) -44 b Which is the closest to -0.1? (a) 4 (b) -0.3 (c) 276/5 b Which is the nearest to -0.2? (a) 4/7 (b) 0.2 (c) 3/5 (d) 6/7 b What is the nearest to -8 in 2.3, 0.1, 1? 0.1 Which is the nearest to 2/3? (a) 0 (b) 0.08 (c) 2 (d) 1/3 d Which is the nearest to 1/4? (a) 1/3 (b) -14 (c) 0.5 (d) 3/7 a What is the closest to 1 in -5.15, -5, 1/5? 1/5 Which is the nearest to 0? (a) -1/4 (b) -5/4 (c) 11 (d) 6 a Which is the nearest to -1? (a) -21 (b) 0.2 (c) -0.3 c Which is the nearest to 1? (a) 1/27 (b) -0.17 (c) 0.2 c Which is the closest to 1? (a) 1/2993 (b) 0 (c) 5/3 (d) 4 c Which is the nearest to -1/4? (a) -2 (b) 0.5 (c) 103/51 b Which is the nearest to 1/2? (a) 3 (b) 0.12 (c) 4/3 b Which is the nearest to 0.1? (a) -1765 (b) 1/6 (c) 0.4 b What is the closest to -0.1 in -2, 1, 28, 1/5? 1/5 Which is the nearest to -3? (a) -5 (b) 2 (c) 2/5 a Which is the nearest to -7? (a) 3 (b) 0.4 (c) -1/12 (d) -1/5 d What is the closest to 2/3 in -5, 4, -1/12, -0.04? -0.04 Which is the nearest to -1/2? (a) 0 (b) 0.2 (c) 4 a What is the closest to -0.2 in -3/8, 0.1, -1/5, 50? -1/5 What is the nearest to 0.1 in 0.1, -2, -2.6, 0.2? 0.1 What is the nearest to -2 in 5/6, -17, -2/7? -2/7 What is the closest to 0 in -2, 6, 4? -2 Which is the nearest to 3/7? (a) 0.4 (b) -0.2 (c) 0 (d) 2 a Which is the nearest to 0.2? (a) -2/5 (b) -1/4 (c) 7/26 c What is the nearest to -0.6 in -1/6, 1/3, -3.4? -1/6 Which is the closest to -1? (a) -2 (b) -4 (c) -0.2 c What is the nearest to -1/3 in -5, 3, 1/2, 27? 1/2 What is the closest to 1 in -10, 0.2, -4, 3/4? 3/4 Which is the closest to 0? (a) -1/4 (b) 5 (c) 3 (d) 12 a Which is the closest to 0.3? (a) 4 (b) 1 (c) -0.0603 c Which is the closest to -5? (a) -3/5 (b) 0.4 (c) 1/4 (d) -90 a What is the closest to 1 in -2/95, -0.4, 21? -2/95 What is the closest to -0.1 in -0.1, 203, 0, -1? -0.1 Which is the closest to 1? (a) -5 (b) -0.01 (c) 61 (d) -0.5 b What is the closest to 0.1 in 1, -0.3, -0.4, 1.37? -0.3 What is the nearest to 0 in -1, -394, 2? -1 Which is the closest to -11? (a) 0.43 (b) 2 (c) 4/7 a Which is the nearest to 0.01? (a) 0 (b) -4 (c) 2 a Which is the closest to -2/9? (a) -2/5 (b) 0.515 (c) 0 a What is the nearest to 1/2 in -3/7, -3, 3/13, -3/8? 3/13 What is the closest to 2 in -2, 0, -0.5, 0.5? 0.5 What is the closest to 1/3 in 4, 3.1, 1/2? 1/2 What is the closest to -221 in -2, 5, -0.4? -2 Which is the nearest to 6? (a) 15 (b) 0.4 (c) 7 c What is the nearest to -2/3 in 2, 8, 0.7, -1? -1 Which is the nearest to -4? (a) -1/16 (b) 0 (c) 2 a Which is the nearest to 0.1? (a) 1 (b) 6 (c) 7.4 (d) -4 a Which is the nearest to 0? (a) -5 (b) 1 (c) 19 b What is the closest to 5 in -1/2, 2/9, 0.1, 0.12? 2/9 Which is the nearest to -0.07? (a) -9/4 (b) 3/4 (c) -1/2 (d) -5 c Which is the nearest to 28? (a) 1/8 (b) 3 (c) -3 b What is the closest to 0 in 0, -4, 5, -1? 0 What is the nearest to 0 in 26, -3/10, 2, 4? -3/10 What is the nearest to -7 in 0.3, -1, -4, 3/4? -4 What is the closest to 5 in 0, 0.2, -21/2? 0.2 What is the nearest to 2 in -3/8, -0.1, -2/19, 1? 1 Which is the closest to -1/6? (a) 5 (b) -0.16 (c) 2 b Which is the nearest to -0.3? (a) 0 (b) -1/4 (c) -1/15 b What is the nearest to -1/4 in 10, -2/749, -2/5, 2/11? -2/5 Which is the nearest to 2? (a) 5 (b) 1/5 (c) 4/5 (d) 1 d Which is the nearest to -75? (a) -2/13 (b) -0.5 (c) -1 (d) -4 d What is the closest to -51 in -11, 5, -5, -2/15? -11 Which is the nearest to -1? (a) 2 (b) -4/3 (c) 0.2 (d) 3/53 b Which is the nearest to -0.9? (a) -3/10 (b) -5 (c) -0.1 a Which is the closest to -2/7? (a) -1/21 (b) 0.6 (c) 3 (d) -2 a What is the nearest to -6 in -0.4, 0.1, 5, 3/16? -0.4 Which is the closest to -6? (a) -1/6 (b) 0 (c) -3 (d) -1 c Which is the closest to 0? (a) 1/3 (b) -0.2 (c) 1 (d) -3 b What is the nearest to -0.9 in 0.4, 1/4, 1, -4? 1/4 What is the nearest to 2/3 in -4, -5/9, 2/7, -0.3? 2/7 Which is the nearest to 1? (a) 2 (b) -3 (c) -1.9 (d) 1 d Which is the nearest to -2/15? (a) -3 (b) 3/5 (c) 0.5 (d) 2 c Which is the closest to -0.1? (a) 1/3 (b) 0.2 (c) -4 (d) -12.7 b Which is the closest to -0.2? (a) 2/9 (b) 2 (c) 127 (d) 0.2 d Which is the nearest to -0.5? (a) 0 (b) 1/245 (c) -2/3 (d) -1/5 c What is the closest to 0.1 in 171, 6/7, -4? 6/7 What is the closest to 6/217 in -3, 5, -0.5, 3? -0.5 What is the nearest to 6 in 1/5, 6/5, -2, 4? 4 Which is the nearest to 997/5? (a) -1 (b) -0.5 (c) -0.3 c Which is the closest to 0.1? (a) 3/5 (b) 6 (c) 32 a What is the closest to 2/5 in 0, -3, -0.5, 0.06? 0.06 Which is the closest to 1/2? (a) -5 (b) -0.5 (c) 4 (d) 1/4 d Which is the nearest to 0.1? (a) 5 (b) -19 (c) 3/2 c What is the nearest to 0.1 in -0.5, -14, -4/9? -4/9 What is the closest to -7/3 in 0.2, -0.01, 0.3? -0.01 Which is the closest to -11? (a) -3 (b) -2/51 (c) 2 (d) -5 d What is the closest to 1 in 0.347, -5, -0.05? 0.347 Which is the nearest to -0.07? (a) -2/5 (b) 2/7 (c) -3 a What is the closest to 2/5 in 63, -0.4, 0.04? 0.04 What is the closest to 0.07 in -0.2, 10, 2/5? -0.2 Which is the closest to 4? (a) -1 (b) 3 (c) 4 c Which is the closest to 2/7? (a) -0.3 (b) -2 (c) 0 (d) 2/13 d What is the nearest to 45 in -0.2, 0, 2/17, -2/25? 2/17 What is the nearest to 0 in -1/7, 2/7, -6, 0.2? -1/7 Which is the closest to -7? (a) -0.5 (b) 1 (c) -2 c What is the nearest to 2 in 23, 0.2, 1/4? 1/4 Which is the nearest to -125? (a) 1/4 (b) -5 (c) 4/3 b What is the closest to -0.5 in -4, 6/11, -18, 1/3? 1/3 Which is the closest
{ "pile_set_name": "DM Mathematics" }
eger? 3 What is the cube root of 2021 to the nearest integer? 13 What is the cube root of 5507 to the nearest integer? 18 What is the fourth root of 1827 to the nearest integer? 7 What is 11090 to the power of 1/2, to the nearest integer? 105 What is 763 to the power of 1/2, to the nearest integer? 28 What is 10536 to the power of 1/3, to the nearest integer? 22 What is the square root of 4432 to the nearest integer? 67 What is the third root of 961 to the nearest integer? 10 What is 10835 to the power of 1/3, to the nearest integer? 22 What is 149231 to the power of 1/7, to the nearest integer? 5 What is 3373 to the power of 1/2, to the nearest integer? 58 What is 2049 to the power of 1/2, to the nearest integer? 45 What is 11483 to the power of 1/5, to the nearest integer? 6 What is the cube root of 33163 to the nearest integer? 32 What is the square root of 61288 to the nearest integer? 248 What is the ninth root of 2762 to the nearest integer? 2 What is the third root of 22268 to the nearest integer? 28 What is 505 to the power of 1/2, to the nearest integer? 22 What is 2954 to the power of 1/3, to the nearest integer? 14 What is 189622 to the power of 1/2, to the nearest integer? 435 What is 45803 to the power of 1/8, to the nearest integer? 4 What is the square root of 3392 to the nearest integer? 58 What is the seventh root of 31848 to the nearest integer? 4 What is the third root of 170 to the nearest integer? 6 What is the ninth root of 751 to the nearest integer? 2 What is the third root of 1534 to the nearest integer? 12 What is 11723 to the power of 1/9, to the nearest integer? 3 What is the cube root of 2985 to the nearest integer? 14 What is the fourth root of 1047 to the nearest integer? 6 What is the seventh root of 385 to the nearest integer? 2 What is 80857 to the power of 1/7, to the nearest integer? 5 What is 636 to the power of 1/3, to the nearest integer? 9 What is the cube root of 9511 to the nearest integer? 21 What is 15874 to the power of 1/2, to the nearest integer? 126 What is the third root of 1954 to the nearest integer? 13 What is 47360 to the power of 1/10, to the nearest integer? 3 What is 1796 to the power of 1/2, to the nearest integer? 42 What is the square root of 24044 to the nearest integer? 155 What is the cube root of 342 to the nearest integer? 7 What is 3013 to the power of 1/3, to the nearest integer? 14 What is the third root of 12597 to the nearest integer? 23 What is the cube root of 16793 to the nearest integer? 26 What is the third root of 888 to the nearest integer? 10 What is 1076 to the power of 1/9, to the nearest integer? 2 What is the eighth root of 1122 to the nearest integer? 2 What is 1 to the power of 1/10, to the nearest integer? 1 What is 40346 to the power of 1/2, to the nearest integer? 201 What is the tenth root of 45611 to the nearest integer? 3 What is the sixth root of 105532 to the nearest integer? 7 What is 1971 to the power of 1/2, to the nearest integer? 44 What is the cube root of 589 to the nearest integer? 8 What is 5126 to the power of 1/5, to the nearest integer? 6 What is the third root of 29972 to the nearest integer? 31 What is the sixth root of 2016 to the nearest integer? 4 What is 24735 to the power of 1/2, to the nearest integer? 157 What is 178 to the power of 1/2, to the nearest integer? 13 What is the square root of 2005 to the nearest integer? 45 What is 365 to the power of 1/9, to the nearest integer? 2 What is the eighth root of 98847 to the nearest integer? 4 What is the third root of 2789 to the nearest integer? 14 What is the square root of 1371 to the nearest integer? 37 What is 16682 to the power of 1/8, to the nearest integer? 3 What is the cube root of 640 to the nearest integer? 9 What is 9046 to the power of 1/4, to the nearest integer? 10 What is the fifth root of 121037 to the nearest integer? 10 What is 64497 to the power of 1/3, to the nearest integer? 40 What is 13678 to the power of 1/2, to the nearest integer? 117 What is 6789 to the power of 1/3, to the nearest integer? 19 What is the ninth root of 46784 to the nearest integer? 3 What is 254 to the power of 1/2, to the nearest integer? 16 What is 89010 to the power of 1/2, to the nearest integer? 298 What is the cube root of 13333 to the nearest integer? 24 What is 3999 to the power of 1/5, to the nearest integer? 5 What is the third root of 1055 to the nearest integer? 10 What is 5890 to the power of 1/2, to the nearest integer? 77 What is the third root of 747 to the nearest integer? 9 What is 488 to the power of 1/9, to the nearest integer? 2 What is 2033 to the power of 1/10, to the nearest integer? 2 What is 4931 to the power of 1/4, to the nearest integer? 8 What is 329 to the power of 1/9, to the nearest integer? 2 What is 2224 to the power of 1/5, to the nearest integer? 5 What is the cube root of 3128 to the nearest integer? 15 What is 683 to the power of 1/9, to the nearest integer? 2 What is the seventh root of 1831 to the nearest integer? 3 What is the tenth root of 1313 to the nearest integer? 2 What is the seventh root of 1855 to the nearest integer? 3 What is the square root of 17610 to the nearest integer? 133 What is the third root of 3329 to the nearest integer? 15 What is 90178 to the power of 1/10, to the nearest integer? 3 What is the square root of 11582 to the nearest integer? 108 What is the ninth root of 20446 to the nearest integer? 3 What is 82389 to the power of 1/9, to the nearest integer? 4 What is the cube root of 3784 to the nearest integer? 16 What is the third root of 2603 to the nearest integer? 14 What is the third root of 507 to the nearest integer? 8 What is 63147 to the power of 1/3, to the nearest integer? 40 What is 2570 to the power of 1/2, to the nearest integer? 51 What is 3905 to the power of 1/3, to the nearest integer? 16 What is 34772 to the power of 1/7, to the nearest integer? 4 What is the fourth root of 5739 to the nearest integer? 9 What is the cube root of 12221 to the nearest integer? 23 What is the square root of 7184 to the nearest integer? 85 What is 13705 to the power of 1/4, to the nearest integer? 11 What is 3491 to the power of 1/5, to the nearest integer? 5 What is the third root of 6658 to the nearest integer? 19 What is 122882 to the power of 1/2, to the nearest integer? 351 What is the square root of 3134 to the nearest integer? 56 What is the tenth root of 7080 to the nearest integer? 2 What is 37626 to the power of 1/3, to the nearest integer? 34 What is 2058 to the power of 1/3, to the nearest integer? 13 What is 12815 to the power of 1/6, to the nearest integer? 5 What is 18403 to the power of 1/9, to the nearest integer? 3 What is the cube root of 21616 to the nearest integer? 28 What is the eighth root of 2028 to the nearest integer? 3 What is the ninth root of 64049 to the nearest integer? 3 What is 40293 to the power of 1/2, to the nearest integer? 201 What is the fifth root of 694 to the nearest integer? 4 What is the fourth root of 376 to the nearest integer? 4 What is 30474 to the power of 1/2, to the nearest integer? 175 What is the square root of 1398 to the nearest integer? 37 What is 24097 to the power of 1/2, to the nearest integer? 155 What is 28544 to the power of 1/2, to the nearest integer? 169 What is the third root of 724 to the nearest integer? 9 What is 1607 to the power of 1/2, to the nearest integer? 40 What is 66654 to the power of 1/2, to the nearest integer? 258 What is the cube root of 11528 to the nearest integer? 23 What is the ninth root of 121136 to the nearest integer? 4 What is the seventh root of 14572 to the nearest integer? 4 What is 28939 to the power of 1/10, to the nearest integer? 3 What is the ninth root of 44569 to the nearest integer? 3 What is 4488 to the power of 1/3, to the nearest integer? 16 What is the cube root of 28202 to the nearest integer? 30 What is the square root of 6434 to the nearest integer? 80 What is the cube root of 7328 to the nearest integer? 19 What is the fourth root of 5646 to the nearest integer? 9 What is 3802 to the power of 1/3, to the nearest integer? 16 What is 40583 to the power of 1/4, to the nearest integer? 14 What is the fifth root of 3082
{ "pile_set_name": "DM Mathematics" }
ose r - 5*s - 2 - 26 = 0, -s = -5*r + 20. Suppose 106 - 70 = r*z. Which is the smallest value? (a) 4 (b) 2 (c) 3 (d) z b Suppose l + 9*l - 100 = 0. Suppose l*o + 79 = 29. Which is the second biggest value? (a) o (b) -7/8 (c) -1/3 b Let r = 0.9 - -0.1. Let s = 0.0767 - -0.3233. Which is the biggest value? (a) r (b) s (c) -0.1 (d) -0.4 a Let j = -40.57 - -41. Let g = j + -0.03. Which is the third biggest value? (a) 2/7 (b) -1/2 (c) g b Let c = 307 + -306.7. Let l = -23 - -15. Let a = l + 10. What is the biggest value in a, c, -3/8? a Let q = 169 - 169. What is the second smallest value in 1, q, -4? q Let t = -0.1 - -1.1. Let r = -13 + t. Let w = r - -7. What is the third biggest value in 4, 0.1, w? w Let n = -7 + 11. Suppose 4*t - 4*j = 0, 4 = -n*t - 3*j - 24. Let y = -25.91 + 25.71. Which is the biggest value? (a) y (b) 0.2 (c) t b Let b = 8 - 12. Let l = b - 4. Let f = l - -13. What is the biggest value in f, 1, -3? f Let v = 44.2 - 14. Let r = v - 30. What is the third biggest value in r, -1/9, -4/9? -4/9 Let s = 9 - 8.7. Let n = -100.1 - -100. Which is the third biggest value? (a) n (b) 6 (c) s a Let g(p) = -p + 13. Let f be g(13). Suppose 4*j + f = 4. Let x = 143.9 + -144. What is the second smallest value in x, -1/7, j? x Let s = 0.1 - -0.4. Let w = -72.4 + 68.4. What is the third biggest value in 6/11, w, s? w Let k = 0.44 - 0.74. Let t = 36 + -10. Let m = 25.8 - t. What is the biggest value in k, -0.1, m? -0.1 Let k = -2.54 + -1.46. What is the second smallest value in k, -1.7, -2? -2 Let w = 243 + -1204/5. Let n be (-9)/(-15)*(-8)/(-3). Let c = n - w. What is the second smallest value in -1/3, 1/3, c? -1/3 Let y = 21 - 11. Suppose 4*j = 3*p - 9, 2*j = 3*p + 1 - y. Let s = -142 + 140. Which is the third biggest value? (a) j (b) 0.3 (c) s c Let a be (-4)/6 - 1612/93. What is the second biggest value in a, 1, -1? -1 Suppose 3*p - u + 153 = -2*u, -4*p + 2*u - 194 = 0. Let n = p - -55. Which is the third smallest value? (a) n (b) 4/5 (c) -19 a Let l = 0.2 - 0.3. Let y = 0.037 - -0.063. Let a = y + l. What is the second smallest value in a, 2, -2/7? a Let g = 0.22 + -0.02. Let t = 18.6 - 13.6. What is the fourth biggest value in -5/6, t, g, 1/6? -5/6 Let n(v) = -4*v. Let h(w) = w. Let z(x) = -14*h(x) - 4*n(x). Let y be z(-2). Let i be (-3 - -3) + y/14. What is the third biggest value in i, 2, -5? -5 Let h = -101.06 - -102. Let m = h + -1.34. Let j = 0.4 - 1.4. What is the biggest value in m, 14, j? 14 Let i(j) = j**2 - 5*j - 54. Let h be i(10). What is the fourth smallest value in -2/73, -0.5, -1/3, h? -2/73 Let w = 4/7 + -23/28. Let h = 9.7 - 0.7. Let k = h + -9.4. Which is the third smallest value? (a) w (b) 4 (c) k b Let v be 6/(-12) - 134/4. Let x = v + 29. Suppose 0 = 2*a - 9 - 1. What is the third smallest value in 0.4, a, x? a Let y = 6938.4 + -6938. Suppose -5*v - 4 = -5*f + 11, 5*f - 24 = -4*v. Which is the biggest value? (a) y (b) -0.06 (c) v c Let j = -2 + 2.1. Let m = -0.2377 - -0.0377. Let q = -3 + 7. Which is the third biggest value? (a) j (b) q (c) m c Let f = -560 + 564. Let p = 6.7 + -1.7. What is the fourth smallest value in 0.1, -0.4, p, f? p Let i = -54 + 49. Let l = 0.42 - 4.02. Let d = 4 + l. Which is the third smallest value? (a) d (b) 4 (c) i b Suppose -2*r + 0 = -x + 4, -x - 1 = 3*r. Suppose -54 = -x*n - n. Let f be 6/n - 38/24. Which is the second smallest value? (a) -0.3 (b) f (c) -2 b Let u = -0.076 - 7.924. Let v = 6 - 6.1. Which is the smallest value? (a) 3 (b) v (c) u (d) -5 c Let i = 18 - 7. Let m = -316 + 314. What is the third smallest value in m, i, 0? i Let p = 18.6 - 18.1. Which is the second biggest value? (a) p (b) 14 (c) 3 c Let f = 0.024 - 33.024. Let v = f + 37. What is the third smallest value in -0.01, v, 0.4? v Let t = -1 + 3/4. Let s = -3.47 + 3.4. What is the second smallest value in t, -3/8, s? t Suppose 115*x = 103*x + 60. Which is the biggest value? (a) x (b) -6.9 (c) 3 a Suppose -634 + 109 = 5*m. Let t be (m/18)/5*9/(-42). Which is the biggest value? (a) -0.3 (b) t (c) -1/6 b Suppose q - 4*z + 9 = 2*q, -5*q - 2*z = -27. Let p = -1.9 + -2.6. Let s = p + 5. Which is the second smallest value? (a) -4 (b) s (c) q b Let g = 5.7 - 6. Let c = 21.3 - 21.5. What is the fourth smallest value in -13, c, g, 1/3? 1/3 Let z = 15 + 11. Let p = -31 + z. What is the biggest value in 0.5, 1, p? 1 Let n = -32 - -29. Let s = 16 + -6. Let j = s + -9.6. What is the second biggest value in -0.3, j, n? -0.3 Let p = 18.957 - -0.043. Let z = p + -14. What is the smallest value in -4, -0.5, z, 3? -4 Let z be -1 - 1 - (-8 - (-64)/10). Which is the biggest value? (a) 0.23 (b) z (c) -2 (d) 0.1 a Let m(z) = -z**3 + 1. Let q(k) = -8*k**2 + k - 7. Let u(f) = -m(f) + q(f). Let p be u(8). What is the second smallest value in 0.2, 2, p? 0.2 Let d be 2/6 + 554/(-1698). Let s = -580/1981 + d. Let n be 2/8*1*6. What is the third smallest value in -3, n, s? n Let q = 439.5 + -439. Which is the third biggest value? (a) q (b) 0.3 (c) 3.6 b Let g(u) = 5*u**2 - 7*u - 1. Let q be g(-2). Let a = q - 37. What is the third smallest value in -0.2, a, 2/9, -2? -0.2 Let d = -14.4 - -10.4. Let q = 1 + d. What is the second biggest value in 28, 2, q? 2 Let l(m) = m**3 - 15*m**2 + 20*m - 79. Let o be l(14). What is the second smallest value in o, -0.5, 2/61, 2/21? 2/61 Suppose 224 = -56*h - 0*h. Let r = -4.74 + -0.66. Let o = r - -5. Which is the second biggest value? (a) -1 (b) o (c) h a Let f = 535.02 - 535. What is the third smallest value in 0.3, f, 1/4, -2/11? 1/4 Let r = -4 + 9. Let x = 5.2 - r. Let u = 1/80 + 59/80. Which is the biggest value? (a) u (b) 2/7 (c) x a Let r = -123.6 + 124.6. Let s = -0.08 + -0.06. Which is the second biggest value? (a) r (b) 4 (c) s a Let t = -2 + 63. Let k = -61.3 + t. Which is the fourth biggest value? (a) 2/7 (b) k (c) 2/5 (d) 1.5 b Let c be ((-5)/16)/(36/(-3600)). Let k = 11 - -20. Let h = k - c. What is the third smallest value in -3, h, -4? h Let n = -0.4 + 0.2. Let i be 120/(-12)*(14/10 + -1). Which is the third biggest value? (a) i (b) -2/9 (c) n a Let u = -4136 + 4131. Let l = 0 - 2. Let c = 6 + l. What is the biggest value in u, -1/4, c? c Suppose -5*t + p = 15, -p - 9 = 3*t - 2*p. Let a be (-15)/(-10) - (-19)/(-10). What is the third smallest value in t, a, 6? 6 Let t be (-22 - -1)*3/(-27)*33. What is the biggest value in 5, -0.2, t? t Let o be 8/(-16) + (-7)/(-7). What is the second smallest value in 0.15, -3, o? 0.15 Let y = 76.1 - 81. Let k = 5 + y. What is the second smallest value in 5, -0.9, k? k Let x = 40 - 73. Let n = -30 - x. What is the biggest value in -0.3, 1/11, -3, n? n Suppose 5*n - 15 = -5*x, -17 = 2*x - 5*x - 5*n. Which is the biggest value? (a) -5 (b) -3 (c) x c Let n = 1712 + -1711. Which is the second biggest value? (a) -1/26 (b) n (c) -1 a Let m = 3 + -3.05. Let f = m + -0.25. Let x = -5122/77 + 738/11. Which is the second biggest value? (a) x (b) f (c) -0.4 b Let p = -2.8 - -2.64. Let k = 0.13 - p. Let l = k - 0.19. Which is the third smallest value? (a) l (b) -1 (c) 3/2 c Suppose 589*m = 594*m + 45. What is the second biggest value in m, -3, -5? -5 Let p be (-204)/(-85) - 2/5. Suppose -7 - p = 3*q. Which is the biggest value? (a) q (b) -0.1 (c) 7 c Let r = -1.9292 - 0.0708. Which is the second biggest value? (a) 0.5 (b) -0.6 (c) r (d) 4 a Let a = 270.5 + -270.87. What is the third biggest value in a, 5, -2/9? a Let l be 24/8*((-32)/(-18))/4. Let g be (-9)/6 - (-2 - (-21)/(-6)). Which is the smallest value? (a) g (b) 15 (c) -2/5 (d) l c Let n be 16/(-3) + 26 + -22. Let s = -0.03 + -7.97. Let u = s + 11. Which is the second biggest value? (a) u (b) n (c) -3 b Let z = -4/21 - -37/84. Which is the smallest value? (a) 1 (b) z (c) 0.3 (d) -13 d Suppose 18*l - 20*l = -6. Let g = l - 2. Which is the second biggest value? (a) g (b) 3/5 (c) 0.4 b Let u = -13.45 - -8.45. Which is the biggest value? (a) -0.1 (b) -3 (c) u (d) -1 a Let j be (-38)/40 + 28/140. What is the third smallest value in j, 6/17, 4? 4 Let w = -3.213 - 1.787. Which is the second smallest value? (a) 4 (b) 1 (c) w b Let u = 5 - 5.02. Let n be (-2)/(-3) + 7/(-15). Which is the second smallest va
{ "pile_set_name": "DM Mathematics" }
Suppose 0 = 4*b - 2*b - 12. Let v(g) = -g**2 + 6*g - 6. Let w be v(4). Suppose 0*z - 3*m - 6 = 3*z, 4*m = w*z - 26. Solve z*o - b = -0*o for o. 2 Let s(j) = j**2 + 16*j + 4. Let g be s(-16). Solve g*z = -z + 5 for z. 1 Let y = -5 + 2. Let l = y - -6. Solve -20 = -8*s + l*s for s. 4 Suppose -i + 5 = -0. Let v(o) = o**3 - 6*o**2 + 6*o - 1. Let s be v(i). Solve -3*a = -a + s for a. -2 Let q = -81 + 85. Solve 4*m + 0 = q for m. 1 Let l(s) = -2*s**3 + 3*s**2 - s - 3. Let c be l(-1). Solve -c*b - 5 = 4 for b. -3 Suppose -y + 5*m = -21, y - 4*m = 30 - 13. Let j be -1 + y + 0 + 3. Solve g + j*g + 20 = 0 for g. -5 Let v(c) be the second derivative of c**4/12 - c**3/3 - 3*c**2/2 - 2*c. Let j be v(4). Suppose -4*p + 11 + j = 0. Solve 0*s = -p*s + 8 for s. 2 Let g(s) = -s**2 + 15*s - 14. Let o be g(13). Let y(r) = r**3 + 4*r**2 - r - 2. Let c be y(-4). Solve -c*k = 2*k + o for k. -3 Let u be 21/(-28) + (-201)/(-12). Solve -4*a + u = -0 for a. 4 Let k(y) = -y**3 - 9*y**2 - 9*y - 8. Suppose 2*h - 170 = -3*h. Suppose 3*d = -5*w - h, -4*d + w - 5*w = 40. Let j be k(d). Solve 4*l + 3 + 1 = j for l. -1 Let f = 21 + -18. Solve -f = -2*r + r for r. 3 Suppose -2 = -3*s + 1. Let z(i) = 3*i - 1. Let b be z(s). Solve 2*n = -b*n + 4 for n. 1 Suppose 3 = 4*o - 1. Let b(g) = -5*g - 1. Let m be b(-3). Let x be -3*(m/(-6) + o). Solve x*k = -k - 15 for k. -3 Let p(g) = -3*g + 1. Let c(a) = 2*a - 1. Let j(f) = 4*c(f) + 3*p(f). Let r be j(-3). Solve y + r*y - 15 = 0 for y. 5 Suppose 75 = k + 2*k. Solve m + 4*m = k for m. 5 Let h be 0/(-3 - (0 - 1)). Let j be (-2)/8 + (-2)/(-8). Let b be -4 - -6 - (j + 2). Solve h = -b*l + l - 4 for l. 4 Let n be -3*6/(-27) - (-16)/3. Solve 3 = -3*r + n for r. 1 Suppose 0 = 3*v - 0*v - 6. Suppose 44 = -4*g + 124. Suppose -5*m - g = 0, 5 = -4*p - 2*m + 13. Solve 4*s + p = v*s for s. -2 Let u(r) = r**2 + r - 3. Let v be u(-3). Suppose 0*f - f + 4 = -2*c, f + 5*c = -v. Solve x = f*x + 3 for x. -3 Let s = 7 + -7. Suppose 2*b = -s*b + 4. Suppose 2*t = -5*o + 35, t + t + b*o = 20. Solve 0 = 2*q - 3 - t for q. 4 Suppose 30 = 3*i + 2*i. Suppose -3*h + 9 + i = 0. Solve -4*r - 1 = -h*r for r. 1 Suppose 3*o - 17 = -5*i, -2*i + 2*o - 3 = 3. Solve -i = r + 3 for r. -4 Let b = 26 + -16. Suppose -2*j + b = 3*j. Solve 10 = -2*d + j for d. -4 Let y(f) = -f**2 + 6*f + 7. Let d be y(7). Solve d = 3*t - 7*t + 4 for t. 1 Let t(z) = 3 - 5 + z + 0*z + 11. Let w be t(-7). Solve -3 = -w*q + 5 for q. 4 Suppose 0 = v - 1 - 3. Let l = v - 2. Solve -l*o + 3 = o for o. 1 Let f(a) = 27*a**2 + 1. Let o be f(1). Suppose 0 = -3*h - 10 + o. Solve -g = -3*g + h for g. 3 Let o = -20 + 45. Solve -2*w + o = -7*w for w. -5 Suppose 5*f = 39 + 36. Solve 0*h + f = 5*h for h. 3 Let o = 4 + -2. Suppose k + o = 2*k. Solve -k*s + 15 = 3*s for s. 3 Let m = -30 - -35. Solve -15 = -5*f + m for f. 4 Let z = 7 - -1. Let i be 39/(1 + (2 - 2)). Let v be (-1)/4 - i/(-12). Solve v*y + z = 5*y for y. 4 Let i be 102/14 - (-4)/(-14). Suppose -3*b - 5 = -b + 3*m, -m - i = -2*b. Suppose -o - 3*y = -8, -2*y = -o + 3*y - 8. Solve b*a + o*a = 4 for a. 1 Let g(w) be the second derivative of 0 - 1/6*w**3 + w + 3*w**2. Let z be g(6). Solve -b + z = 1 for b. -1 Let x = -30 + 35. Solve -2*t + t + x = 0 for t. 5 Let f be 0 + 18 - 10/(-5). Suppose -4*a = -5*j + 4, -2*a = 2*a + j - f. Solve g - 6 = a*g for g. -2 Suppose -4*d + 6 = -l, 30 = 5*d + 10. Solve 3*u = 8*u + l for u. -2 Let m = 1 - -5. Suppose -3*v + 20 = s, -2*v - m = s - 21. Suppose -28 = -v*f - 8. Solve -7 - 9 = -f*h for h. 4 Let q(f) = -f**3 + 4*f**2 + 5*f + 2. Let h be q(-3). Let x be 1/(-3) + h/15. Solve -u - 4 = -x*u for u. 2 Suppose -8*r = -6*r + 2. Let w be -1 - (0 - -2)*r. Solve -4*c + w = -11 for c. 3 Let f = -7 + 7. Suppose -5*o = -f*o. Solve 3*q = -o*q for q. 0 Let p be 2/(-10) + (-6 - 1092/(-35)). Solve -5 + p = 5*g for g. 4 Suppose -3*i = -0*i - 15. Suppose -d + i = 1. Let l = 8 + d. Solve -6*m + 2*m = -l for m. 3 Let a = -4 - -4. Let c = a - -8. Solve 0 + c = -2*t for t. -4 Suppose -3*y + 15 - 3 = 0. Solve 4*b - y + 0 = 0 for b. 1 Let s(a) = 13*a + 39. Let o be s(-3). Solve o = 4*l - 0*l for l. 0 Let j be 6*-1*(-20)/(-15). Let m = -3 - j. Solve h - 4 = m*h for h. -1 Let d = -92 - -95. Solve 2*j = d*j + 5 for j. -5 Let m(b) = -b**2 - 6*b - 4. Let x be m(-5). Let y(j) = 18*j. Let v be y(x). Suppose v = -3*k + 5*i + 5, -18 = -2*k - 2*i. Solve -5 = -f - k for f. 1 Let m be (-64)/(-24)*15/(-2). Let d = m + 20. Solve 0*h + h - 5 = d for h. 5 Suppose z + 38 = 3*z. Suppose -5 = -l - u, -5*u + z = 44. Solve -10 = -l*d + 5*d for d. 2 Let c be (-2)/(0 - 1 - 1). Solve -c = -b + 3 for b. 4 Suppose -4 = 2*v + 4*n, 3 - 4 = n. Suppose v = -4*m + 8 - 0. Suppose 5*s = -20, 0 = -0*f + f + 4*s + 9. Solve -m + f = x for x. 5 Suppose 5*r = 34 + 1. Let k be (-1)/r - (-4)/28. Let l be -1 + 2 + (2 - -1). Solve -l*h = -k*h for h. 0 Let r(c) = -4*c. Let f be r(-1). Suppose 0 = -v - 5, 0 = f*p + p + v - 5. Solve 0 = p*n - 2 for n. 1 Let u be ((195/(-18))/13)/((-1)/6). Solve -14 - 11 = u*k for k. -5 Let k(q) = q**2 - q - 2. Let i be k(2). Suppose 5*h + 5 = 3*o - 4*o, -5*o - 4*h + 17 = i. Suppose 5*v + o - 25 = 0. Solve -4*m + v + 0 = 0 for m. 1 Let a(z) = -z - 2. Let q be a(-4). Suppose 2*f = -3*c + 15, -3*f = q*c - 5 - 10. Solve h = -c + 4 for h. 1 Let s(h) = h**2 - 5. Let o be s(3). Let r(i) = i**3 + 4*i**2 - 7*i - 6. Let v be r(-5). Solve v*y + o = -0*y for y. -1 Let p = -15 + 16. Let c be p/(((-14)/8)/(-7)). Solve -g - 5 = c*g for g. -1 Let i = -17 - -16. Let n(l) be the third derivative of l**5/15 + l**4/24 + l**3/6 + l**2. Let u be n(i). Solve -4 = 2*d - u*d for d. 2 Let t = -55 - -61. Solve t*p - 8*p = 0 for p. 0 Suppose 0 = 4*g - 53 + 5. Suppose -3 = 2*j - 3*j. Suppose 2*v = j*v. Solve t + 2*t - g = v for t. 4 Suppose -b = -t - 4, 3*b - b = t + 7. Solve -b*y + 9 = -6*y for y. -3 Suppose t - 9 = -0*t - 3*n, 5*t = 5*n - 15. Suppose 0 = -8*r + 3*r + 65. Suppose -r*x + 25 = -8*x. Solve t*u + x = u for u. 5 Let n(z) = z**2 + 6*z - 3. Let m be n(-6). Let q be -1 + 5 + (m - -4). Suppose 0 = -b + 2*b - q. Solve 0*c - b = c for c. -5 Suppose -6*j + 8*j = 0. Solve j*i = -i - 2 for i. -2 Let i = -4 - 0. Let y be 105/33 - i/(-22). Let r be (0 - -1)/(y/6). Solve 2*t - 3*t = -r for t. 2 Let t = 99 - 89. Solve 0 = -w - 4*w - t for w. -2 Let k be (-98)/10 - 4/20. Let h be (-86)/(-4) - (-15)/k. Solve -2*l - 2*l + h = 0 for l. 5 Suppose 2*f + 2*f = 0. Let b = -23 + 29. Solve f = -h - 2*h + b for h. 2 Let k = 9 + 3. Solve 0*r - 4*r = k for r. -3 Let p(a) = -a**3 - 4*a**2 - 3*a + 2. Let j = -8 + 5. Let y be p(j). Solve o - 1 = y*o for o. -1 Suppose -5*y = -2*y + 3*o - 3, 13 = 5*y + 3*o. Let l = 16 + -28. Let c = 4 - l. Solve y*q = c - 6 for q. 2 Suppose l - 4 + 2 = 0. Suppose -2*p = l*p. Solve p = -6*t + 2*t - 8 for t. -2 Suppose -5*l = -5 - 15. Suppose -l*k = -7*k. Let z = k - -12. Solve 0 = -3*w - z - 3 for w. -5 Let y(n) = 5*n**2 - 10*n - 4. Let l(v) = v**2 - 1. Let z(j) = -6*l(j) + y(j). Let o be z(-10). Solve 5*i - o*i = 9 for i. 3 Let w = 1 - 3. Let b be 2 + ((-4)/w - 1). Solve 3*x + b = 15 for x. 4 Let v = -88 - -104. Solve 0*b = -4*b + v for b. 4 Suppose 0 = 4*x - 21 - 59. Solve -x = 4*u + u for u. -4 Let j(w) = 2*w**2 - 8*w - 8. Let u be j(5). Suppose 0 = -7*k + u*k + 40. Solve 0 = 4*m + k for m. -2 Let f = -5 - -6. Let b(r) = r**2. Let t be b(0). Let k(g) = -g**3 - g**2 - g + 2. Let p be k(t). Solve p = v - f for v. 3 Suppose 0 = -2*n - 2*n. Suppose 0 = 3*m - n*m. Let d(c) = 6*c**2 - c. Let z be d(1). Solve z*w + 5 - 20 = m for w. 3 Let m = -5 + 4. Let q be m - -2*2/4. Suppose 0 = -v + 2 - q. Solve -c = -v*c for c. 0 Let f be (-11)/(-33)*(0 - 0). Solve 0 = -f*i + 3*i + 15 for i. -5 Let t be 1*(1 - -2*3). Let z = -5 + t. Solve -5 = -z*x + 1 for x. 3 Let t = -59 + 72. Solve -1 = 4*a - t for a. 3 Let o be -1 - -2 - -1*1. Let k(w) = 2*w**2 + 2*w - 2. Let y be k(-3). Suppose y*z - 6*z = 12. Solve -m + o = -z*m for m. -1 Let b(k) = -k**2 - 6*k. Let c be b(-5). Solve -c*v - 45 = -20 for v. -5 Let s be -1*(-1)/((-3)/(-9)). Suppose j + 3*m = 12 + 17, 0 = s*j - 4*m - 61. Solve -4*h - j = -3 for h. -5 Let n(r) = 0*r**2 + 2 - 2 + 3 + 7*r + r**2. Let u be n(-7). Solve a + 6 = u*a for a. 3 Let l be (20/12)/((-2)/(-6)). Suppose l*w = 24 + 16. Solve -12 = -5*r + w for r. 4 Let y
{ "pile_set_name": "DM Mathematics" }
- 1/2*l**3 + 0*l**2 + x = 0? -1, 0, 1 Factor -7*y**3 + 541464 + 15*y**3 - 4*y**3 - 2319576 + 63504*y - 756*y**2 - y**3. 3*(y - 84)**3 Let g(o) be the third derivative of o**11/332640 + o**10/151200 - o**9/10080 - o**5/15 + 4*o**2. Let t(b) be the third derivative of g(b). Factor t(n). n**3*(n - 2)*(n + 3) Let o(d) be the first derivative of d**8/924 - d**7/1155 + 19*d**2/2 + 30. Let t(u) be the second derivative of o(u). What is f in t(f) = 0? 0, 1/2 Let m be (-115)/(-50) + 9/(-30). Let q(j) be the third derivative of -13*j**m - 2/21*j**3 + 0 + 1/12*j**4 + 3/70*j**5 + 0*j. Factor q(u). 2*(u + 1)*(9*u - 2)/7 Factor 0*c**2 - 10*c**3 + 0*c + 0 + 5/2*c**4. 5*c**3*(c - 4)/2 Factor 32/5 - 24/5*a**2 + 4/5*a**3 + 4/5*a**4 - 16/5*a. 4*(a - 2)*(a - 1)*(a + 2)**2/5 Let o(m) = m**3 - 9*m**2 + 12*m - 27. Let v be o(8). Let j(g) be the first derivative of -4 + 0*g + 5/3*g**3 - 1/2*g**4 - g**v + g**2. Factor j(l). -l*(l - 1)*(l + 1)*(5*l + 2) Suppose -3/4 - c**2 - 13/4*c = 0. Calculate c. -3, -1/4 Factor 141*s**4 - 4*s + 78*s**3 + 30*s**5 - 55*s**4 - 2*s**5 + 18*s**2 + 2*s**5. 2*s*(s + 1)**3*(15*s - 2) Suppose 2*h + 2 = -2. Let g be 3 - 3 - h*2. Solve 3*j - 12*j**4 - g*j**3 + 2*j**2 - 4*j**5 + 5*j + 2*j**2 + 8*j**2 = 0 for j. -2, -1, 0, 1 Let -37*b**4 + 42*b**4 - 20*b**2 - 16*b**3 - 9*b**4 - 8*b = 0. Calculate b. -2, -1, 0 Let p = 1924 + -1920. What is c in -3/8*c**p + 0 + 0*c + 0*c**2 + 5/8*c**5 - 1/4*c**3 = 0? -2/5, 0, 1 Suppose 2*t + 4*k - 4 = 16, 4*k - 4 = 2*t. Let b = 8 - t. Factor 0*p**3 - 12*p + 12*p - 3*p**2 - 3*p**b + 6*p**3. -3*p**2*(p - 1)**2 Factor -415 + 213 - 39*q + 202 + 3*q**2. 3*q*(q - 13) What is x in -4/5*x + 62/15*x**2 + 8/15*x**5 - 2/15*x**4 - 56/15*x**3 + 0 = 0? -3, 0, 1/4, 1, 2 Suppose 0 = 2*c - 0*c + 2*q + 2318, 0 = -5*c - 3*q - 5801. Let v = -15098/13 - c. Let -6/13*t**2 + 8/13 - v*t = 0. Calculate t. -2, 2/3 Let r(i) be the second derivative of -1/240*i**6 - 9*i + 0 - 1/48*i**4 + 1/2*i**2 - 1/60*i**5 + 0*i**3. Let a(y) be the first derivative of r(y). Factor a(o). -o*(o + 1)**2/2 Factor -106*s**2 + 10*s**3 - 22/5 - 218/5*s. 2*(s - 11)*(5*s + 1)**2/5 Let p(z) be the first derivative of -2*z**6/9 + 8*z**5/5 + 8*z**4/3 - 8*z**3/3 - 14*z**2/3 + 65. Solve p(w) = 0 for w. -1, 0, 1, 7 Let c(h) be the first derivative of h**4/38 - 10*h**3/57 - h**2/19 + 10*h/19 - 113. Factor c(w). 2*(w - 5)*(w - 1)*(w + 1)/19 Let l(q) be the second derivative of 0*q**4 + 2/7*q**2 + 0 - 2/105*q**6 - 4/21*q**3 + 17*q + 2/35*q**5. Factor l(n). -4*(n - 1)**3*(n + 1)/7 Let s(l) = -483*l + 10147. Let x be s(21). Suppose 5/6*d + 10/3*d**2 + 15/2*d**5 + 0 - 10*d**x - 5/3*d**3 = 0. Calculate d. -1/3, 0, 1 Let b(p) = p**3 - 7*p**2 + 2. Let z be b(7). Factor -2*s**5 + 128*s + 3*s**5 - 123*s - 10*s**z - 1 + 10*s**3 - 5*s**4. (s - 1)**5 Suppose 6*i - 8*i + 3*s = -9, 4*i - 2*s - 14 = 0. Let c = 124 - 124. Factor c + 0*q**i + 3*q**4 + 0*q**2 + 0*q + 9/2*q**5. 3*q**4*(3*q + 2)/2 Let x(n) be the third derivative of 8/3*n**3 - 1/5*n**5 + 2/15*n**6 + 0 - 3*n**2 + 0*n - 2/3*n**4 - 2/105*n**7. Solve x(p) = 0 for p. -1, 1, 2 Let l(s) be the second derivative of -s**5/5 - 13*s**4/12 - 2*s**3/3 + 6*s**2 - 4*s - 8. Factor l(o). -(o + 2)**2*(4*o - 3) Solve 4*a**3 - 7*a**2 - 64*a - 91*a + 169*a + 23*a**2 + 24 - 58*a = 0 for a. -6, 1 Let o(p) be the second derivative of 5/42*p**7 - 1/2*p**5 - 5/6*p**4 + 0 - 4*p + 5/6*p**3 + 5/2*p**2 + 1/6*p**6. Factor o(w). 5*(w - 1)**2*(w + 1)**3 Let n(w) be the third derivative of 1/4*w**4 + 10*w**2 + 0 + 5/21*w**3 + 4/35*w**5 + 0*w + 1/105*w**6. Determine f, given that n(f) = 0. -5, -1/2 Let x(i) be the first derivative of -i**7/14 + i**6/10 - 11*i - 7. Let b(v) be the first derivative of x(v). Determine s so that b(s) = 0. 0, 1 Let p be 98/21 + 55/(-33). Let l(y) be the third derivative of -3*y**2 + 1/300*y**5 + 0*y + 0 + 1/24*y**4 + 2/15*y**p. Factor l(d). (d + 1)*(d + 4)/5 Let v(k) be the third derivative of -k**8/672 + k**7/60 - 17*k**6/240 + 17*k**5/120 - k**4/8 - 156*k**2. Solve v(m) = 0 for m. 0, 1, 2, 3 Let s = -2/875 + -16613/5250. Let v = s - -10/3. Factor -v*b**3 + 2/3 - 4/3*b + 5/6*b**2. -(b - 2)**2*(b - 1)/6 Suppose 14*t + 97 = 643. Suppose -t*u - 25 = -44*u. What is s in 2*s**3 - 2/5 - s + 4/5*s**2 - s**u - 2/5*s**4 = 0? -1, -2/5, 1 Let v(i) = i**2 + 10*i - 8. Let x be v(-11). Factor -6*n**3 + 12*n - 4 - 3*n**3 + n**x - 4*n**3 + 4*n**2. -4*(n - 1)*(n + 1)*(3*n - 1) Suppose 1/5*j**3 - 39/5 + 3*j**2 + 23/5*j = 0. What is j? -13, -3, 1 Let o = -8 - -13. Suppose -19 = -v - 4*f, -23 = -v - 4*v - 2*f. What is a in 0 - 3*a**2 + 4*a**v + 14*a + 1 - o - 11*a**2 = 0? 1/2, 1, 2 Let c(x) be the first derivative of 0*x**4 - 2 + 0*x**2 + 1/2*x**3 - 3/20*x**5 - 5*x. Let t(z) be the first derivative of c(z). Solve t(h) = 0. -1, 0, 1 Let y(r) be the second derivative of r**4/16 - 23*r**3/8 + 63*r. Solve y(m) = 0 for m. 0, 23 Determine g, given that 0 - 78/5*g**2 + 6/5*g**3 + 72/5*g = 0. 0, 1, 12 Let t(l) = 8*l**3 - 5*l**2 + 8*l - 4. Let o(v) = v**3 + 2*v**2 - 2*v**2. Suppose 45*g - 21 = -651. Let z(n) = g*o(n) + 2*t(n). Solve z(a) = 0 for a. 1, 2 Suppose -11 = -4*w + j, 3*w + 4*j - 8*j = 18. What is p in 2*p**2 + 6*p**2 - 10*p**w = 0? 0 Let x be -1 - ((-120)/42 - -1). Suppose 0*p + x*p**3 + 2/7*p**4 + 0 + 4/7*p**2 = 0. Calculate p. -2, -1, 0 Let y = -7245 - -21743/3. Factor -7/3*w**3 - 38/3*w + y + 37/3*w**2. -(w - 4)*(w - 1)*(7*w - 2)/3 Let o(d) = d**2 + 12*d - 49. Let c be o(-15). Let z be ((-45)/10 - c)/(-1). Factor 0 - 2*s**4 + 3/2*s**3 + 0*s + z*s**2. -s**2*(s - 1)*(4*s + 1)/2 Let v(p) be the third derivative of -11/24*p**6 - 5/24*p**4 + 0*p + 5/42*p**7 + 7/12*p**5 - 18*p**2 + 0 + 0*p**3. Factor v(k). 5*k*(k - 1)**2*(5*k - 1) Let w(u) = -8*u - 15. Let h be w(-10). Let -4*p**2 + 5*p**2 + 7*p**2 + h*p - 5*p**3 + 35 + 17*p**2 = 0. Calculate p. -1, 7 Factor -7/4*g**3 + 0 + 0*g - 1/4*g**5 + 5/4*g**4 + 3/4*g**2. -g**2*(g - 3)*(g - 1)**2/4 Let r(i) be the first derivative of -2/3*i**2 - 10/9*i**3 + 9 - 14*i - 1/4*i**4. Let w(x) be the first derivative of r(x). Factor w(q). -(q + 2)*(9*q + 2)/3 Let r(j) be the second derivative of -1/84*j**4 + 17*j - 18/7*j**2 + 0 + 2/7*j**3. Factor r(c). -(c - 6)**2/7 Let l(c) be the third derivative of c**8/448 - 13*c**7/840 + c**6/96 + 5*c**5/48 - c**4/12 - c**3/2 - 610*c**2. Solve l(y) = 0 for y. -1, -2/3, 1, 2, 3 Let o be (16/22)/4 + 124/44. Let g(k) be the third derivative of -1/120*k**5 + 0 - 8*k**2 + 0*k + 1/24*k**4 - 1/12*k**o. Factor g(x). -(x - 1)**2/2 Let q be 10*(26/(-10) + 3). Let j(a) be the first derivative of -1/2*a**q - 2/3*a**3 - 2 + 2/5*a**5 + a**2 + 0*a. Determine y, given that j(y) = 0. -1, 0, 1 Suppose -2 = 19*g - 20*g. Find a, given that 0 + 8/3*a**4 - a**5 + 1/3*a - 2*a**3 + 0*a**g = 0. -1/3, 0, 1 Let x be (-66)/(-4) + (-13)/26. Factor -x*s**2 - 14*s - 2*s**3 - 11*s - 7*s. -2*s*(s + 4)**2 Suppose 5*h - 98 = -38. Let g be 78/h + -4 + -2. Suppose 0*y**4 + 0*y**2 + 1/2*y**5 - g*y**3 + 0 + 0*y = 0. Calculate y. -1, 0, 1 Let p(c) be the third derivative of -c**7/90 - 1111*c**6/360 - 6519*c**5/20 - 1025285*c**4/72 + 148877*c**3/9 + 143*c**2. Find x, given that p(x) = 0. -53, 2/7 Let p be (-135)/18*(-4)/(-6). Let o(x) = -2*x - 8. Let k be o(p). Find w such that -18*w + 46*w**2 - 10*w + 4 + 3*w**k = 0. 2/7 Let r(f) be the second derivative of -1/2*f**3 + 1/14*f**7 + 1/5*f**6 - 2*f - 1/2*f**4 + 0*f**2 + 0*f**5 + 0. Let r(z) = 0. What is z? -1, 0, 1 Let p(t) be the second derivative of t**7/63 - 2*t**6/15 + 2*t**5/5 - 5*t**4/9 + t**3/3 - 238*t. Let p(d) = 0. What is d? 0, 1, 3 Suppose -3*i - 3 = -b, 3*b - 9 = 3*i - 2*i. Solve 4*y**b - 4*y**4 - y**2 - 2*y**3 + 3*y**4 = 0. 0, 1 Let f = 19/120 - 1/8. Let j(g) be the third derivative of -1/24*g**4 + 0*g - 1/3*g**3 + 0 - 5*g**2 + 1/120*g**6 + f*g**5. Factor j(d). (d - 1)*(d + 1)*(d + 2) Let k = 1339/114 - 220/19. Let m(a) be the second derivative of 12*a + 0 + a**2 + 0*a**3 - k*a**4. Factor m(w). -2*(w - 1)*(w + 1) Let v(p) be the first derivative of p**4/12 + 13*p**3/9 - p**2/6 - 13*p/3 - 389. Factor v(n). (n - 1)*(n + 1)*(n + 13)/3 Let h(l) be the first derivative of -l**7/1680 - l**6/240 + l**5/240 + l**4/16 + l**3 + 6. Let o(t) be the third derivative of h(t). Let o(b) = 0. What is b? -3, -1, 1 Factor 5*a**3 + 25*a**2 + 941 - 941. 5*a**2*(a + 5) Let v
{ "pile_set_name": "DM Mathematics" }
rt(76)) + 0 + sqrt(76)*1))**2. 2*sqrt(19) + 10954 Simplify (1*(4*(sqrt(170) - (-2*sqrt(170) + sqrt(170))*-4))/(4*sqrt(10)*1 - -1*sqrt(1440))*-2)**2. 153/4 Simplify sqrt(45)*-6*3 + (sqrt(5) + sqrt(5) + sqrt(80)/sqrt(4))**2 + 0 - (5 + -4 + sqrt(45)/(sqrt(9)*-1) + 3)**2. -46*sqrt(5) + 59 Simplify (1 + 2*(3 + sqrt(98))*5 + (sqrt(128) + (-5 + -3*sqrt(128) - sqrt(128)) - sqrt(128))*-3)**2. 15272*sqrt(2) + 57228 Simplify ((-1 + sqrt(275))**2*1 + sqrt(275) + -2 - (4 + (2 + sqrt(275) + sqrt(275))**2)*1) + 1. -833 - 45*sqrt(11) Simplify ((-3 + ((2*sqrt(336)*2 + sqrt(336))/sqrt(7) - (sqrt(288) + (sqrt(288) - (sqrt(288) + sqrt(288)*2)))/sqrt(6)*-2))*5)**2. -1800*sqrt(3) + 11025 Simplify (6*(sqrt(104)*-2 - sqrt(104)) - (sqrt(104) - (sqrt(104) + -1*sqrt(104))*-6))/(4*-6*sqrt(800)*2). 19*sqrt(13)/480 Simplify 4*(-1*sqrt(700)*3 - (-1 + sqrt(700) + -5) - (sqrt(280)/(sqrt(30)/sqrt(3) + sqrt(10)) + 1))**2. -1640*sqrt(7) + 47168 Simplify -1*((sqrt(264) + 1*-2*sqrt(264))/(sqrt(44)/sqrt(4)*1))/((sqrt(64) + sqrt(64) + -3*sqrt(64)*-1 - sqrt(64))/((-1*sqrt(512) - sqrt(512)) + sqrt(512))). -2*sqrt(3) Simplify -2*((sqrt(468) + -4 - sqrt(468))**2 + -3) + 1 + (sqrt(1300) + -2 - sqrt(1300)/sqrt(4)). -27 + 5*sqrt(13) Simplify 3*((-1 + sqrt(1331) + sqrt(1331) + 2 + 5)*4 + 3 + sqrt(1331) + 1*sqrt(1331) + -5 + sqrt(1331) + sqrt(1331) + 1)**2. 18216*sqrt(11) + 576579 Simplify (-3 + (-3 + (sqrt(175) + 0)*5 + 4 + 3*sqrt(175) + 4)*-1)**2. 640*sqrt(7) + 11264 Simplify (sqrt(126)/sqrt(9)*2 + sqrt(14) + sqrt(350)*2)/(sqrt(448)*1 - (sqrt(7) - sqrt(378)/sqrt(6))). 13*sqrt(2)/10 Simplify (-2 + 2 + (5*(sqrt(243) - (sqrt(243)*-1 - sqrt(243))) - (-4 + -1 + sqrt(243))) + 2 + 0)**2. 1764*sqrt(3) + 47677 Simplify 2*((4 + (sqrt(242) + 2 - sqrt(242))**2)*-2 + (1 + sqrt(242) + -3 - (sqrt(242) + -1 + -2)**2))*-5. -770*sqrt(2) + 2690 Simplify (5 + 1*sqrt(98) - (sqrt(98) + 1 + -1) - (1*(-1 + sqrt(2)) + sqrt(200)*1)) + 4. -11*sqrt(2) + 10 Simplify 1*((((3*sqrt(120) + sqrt(120))*1)/sqrt(5))/(2*sqrt(800) + 2*(sqrt(8) + sqrt(16)/sqrt(2))))**2. 1/12 Simplify (-4 + sqrt(363)*1 - sqrt(363))**2 + 2 + -5*(sqrt(363) + -5 + -2) + 4. -55*sqrt(3) + 57 Simplify (3*sqrt(95)*-5 + (sqrt(95) + (sqrt(95) + (sqrt(95)*4 - sqrt(95)))*-5 - sqrt(95)))/(((2*sqrt(15))/sqrt(3) + sqrt(5) - sqrt(45)*-2)*-3). 35*sqrt(19)/27 Simplify (-3*(-3 + (sqrt(2299) + 3 + (sqrt(2299) + -2 - sqrt(2299)) - (3 + -3*sqrt(2299)))) + 2)**2. -4488*sqrt(19) + 331345 Simplify (((sqrt(1008) + -1*sqrt(1008) - sqrt(1008)) + 5 + (sqrt(1008) - (-3 + sqrt(1008)))*-3)*1*-1)**2. 96*sqrt(7) + 1024 Simplify ((4*-1*sqrt(65) + ((sqrt(65) - sqrt(65)*-3) + sqrt(65) + sqrt(65) + sqrt(65) - sqrt(65))*1)/(-6*(sqrt(125)*1 - sqrt(5))*-5))**2. 13/3600 Simplify -2 + (sqrt(240)/sqrt(3) + sqrt(5) - (sqrt(5) - (3 + sqrt(15)/sqrt(3))) - (sqrt(80)/(sqrt(64)*1))**2). -1/4 + 5*sqrt(5) Simplify (-5 + (-2 + sqrt(500))**2 + -5)*-5 + 6*(1 + (-6*sqrt(500)*-3)**2). 200*sqrt(5) + 969536 Simplify (sqrt(42)/(sqrt(24)/sqrt(4)*4) - (-5 + sqrt(63) + 5*sqrt(21)/sqrt(3))) + ((3*sqrt(1008))/(sqrt(81)*-2))**2. -31*sqrt(7)/4 + 33 Simplify (4*(sqrt(95) - (sqrt(95)*1 - sqrt(95))) - sqrt(95)*1*-4)/(((1*sqrt(90))/sqrt(2))/sqrt(9)*-4). -2*sqrt(19) Simplify -3*(((sqrt(187) - (sqrt(187) - (-1*sqrt(187) + sqrt(187))))*3 + sqrt(187) - sqrt(187))*1)/(((sqrt(66)*2 - sqrt(66))*-3)/sqrt(6))*1. 0 Simplify ((-6*sqrt(245)*2 - (sqrt(245) + 0 + -3)) + -4*3*5*(sqrt(245) + -2))**2. -125706*sqrt(5) + 1320734 Simplify ((sqrt(200)*5 + sqrt(200))/sqrt(10) - (sqrt(180)*2)**2) + -4 + sqrt(20) + -4 + (sqrt(180)/sqrt(9))**2 + 3. -705 + 14*sqrt(5) Simplify ((sqrt(304) + sqrt(304) + 1 + 0 + -3 + 2 + sqrt(304) - (0 + sqrt(304)*-3)*2) + 3)**2. 216*sqrt(19) + 24633 Simplify ((2 + sqrt(448) + sqrt(448) + 1 + -2)**2 + 3 + -2 + 2 + sqrt(7) + 2)*1. 33*sqrt(7) + 1798 Simplify (-2*(sqrt(204) + sqrt(204)*2 - sqrt(204))*-3)/((sqrt(720)/(sqrt(972) - sqrt(12)))/sqrt(5)). 96*sqrt(17) Simplify 1*(-2 + sqrt(1008)*-2)*2 - (1 + ((sqrt(49)*-2)/sqrt(7) - (-1*(-2 + sqrt(7)) + sqrt(7))**2)). -46*sqrt(7) - 1 Simplify ((sqrt(153)*-1*4 + 4*sqrt(153)*1)*3 + 0)**2 + 1. 1 Simplify -5*(sqrt(2299)*-2*1 + sqrt(2299)*-2*-6 + 5*(sqrt(2299) + -2) + 5)**2*-2. -16500*sqrt(19) + 5173000 Simplify (-3 + (-1 + sqrt(33)/sqrt(3) - sqrt(22)/(sqrt(2)*2 - sqrt(2))) + (-4*sqrt(176) - (sqrt(11) - sqrt(121)/sqrt(99))) + 5 + 1)**2. -200*sqrt(11)/3 + 27536/9 Simplify ((-4*sqrt(245) - (sqrt(25)/sqrt(5) + 2)) + -1*(sqrt(500) + -1 + sqrt(500) + -1 - sqrt(500)))**2. 7605 Simplify (-6*3*sqrt(3146)*5)/(1*(sqrt(72) + (sqrt(72) - (sqrt(72) + (sqrt(72) + (sqrt(72)*-2 - sqrt(72)) - sqrt(72)))) - sqrt(72))*1). -55*sqrt(13) Simplify ((sqrt(256)/sqrt(8))/sqrt(8)*-3)/(-1*sqrt(968)/sqrt(4)). 3*sqrt(2)/11 Simplify (4*(5 + -6*(-3 + 1*sqrt(612) - sqrt(612) - (sqrt(612) + (-5*(sqrt(612) - (1 + sqrt(612) - sqrt(612))) - sqrt(612)) + sqrt(612))) + 0)*-5)**2. -6105600*sqrt(17) + 142128400 Simplify ((sqrt(5324) + sqrt(5324)*3*4 + sqrt(5324) - sqrt(5324))*1)/((sqrt(144) - (sqrt(144) - (sqrt(144)*3 + sqrt(144))))*1*-3). -143*sqrt(11)/72 Simplify ((4*sqrt(3) + -2 + -1*(sqrt(3) + 0) - ((2*sqrt(243))/sqrt(9))/sqrt(9)*5)*-1)**2. 28*sqrt(3) + 151 Simplify 3*(5 + ((sqrt(539) - (-4 + sqrt(539)))*-2)**2 - ((sqrt(1100) + 1)**2 + 2*(-1 + sqrt(11)) + sqrt(11))). -3090 - 69*sqrt(11) Simplify ((sqrt(190)*-1 + sqrt(190))*6 + (sqrt(190) + 2*sqrt(190))*6)/(sqrt(1000) - (sqrt(1000) - sqrt(1000)*2 - sqrt(1000) - sqrt(1000))*-1 - sqrt(1000)*1*5). -9*sqrt(19)/35 Simplify -3*((2*(sqrt(325)*1 - sqrt(325)) - ((sqrt(325) + 1)*-3)**2) + (sqrt(325) + 2 + 2 + (sqrt(325) - (-4 + (sqrt(325) - -2*sqrt(325))) - sqrt(325)))**2). 750*sqrt(13) + 4710 Simplify (5*(sqrt(5) + -4) - (sqrt(315)/sqrt(9))/sqrt(7))**2 - ((2 + sqrt(500) + -5 - sqrt(500))*-3)**2. -160*sqrt(5) + 399 Simplify 2 + ((sqrt(833) - 4*(sqrt(833) - (sqrt(833) - (-1 + sqrt(833)))))*5*-1 + 0 + -3)**2. -4830*sqrt(17) + 187956 Simplify -3*(((sqrt(252) + 5 + (sqrt(252) - (0 + sqrt(252) - sqrt(252))))*-6*-1)**2 + 0) + 0. -111564 - 12960*sqrt(7) Simplify (((sqrt(192) + sqrt(192)*4)/sqrt(12))/(-3*sqrt(8)*1))**2 + 5*(3 + ((-1 + sqrt(72))*4 - sqrt(72)))**2. -180*sqrt(2) + 29255/9 Simplify 0 + (-2*sqrt(648)*5 + -1*sqrt(648)*4)/(((sqrt(768) - sqrt(768)*-1) + sqrt(768))/(sqrt(3) - (sqrt(27) + sqrt(243) + sqrt(27)))). 147*sqrt(2)/2 Simplify 0 + 5*(sqrt(102)/(sqrt(60)/(sqrt(10) + sqrt(10)*2) - sqrt(6)) - (sqrt(2057)*-2 + 2))**2*-1 + -3. -142977/4 + 410*sqrt(17) Simplify 6*(-2 + (sqrt(576)*4)/(sqrt(16)/sqrt(8)*-2 - sqrt(2))). -96*sqrt(2) - 12 Simplify -6*(-1*((sqrt(1088) + 4)**2 + -5) - (-4 + 2*sqrt(1088)*5)**2) + 0. -3456*sqrt(17) + 659490 Simplify -3*((3 + -3*sqrt(405)*-2)**2 + (sqrt(405) + (sqrt(405) - ((sqrt(405)*-1 - sqrt(405)) + sqrt(405))*1 - sqrt(405)) - (sqrt(405) + -2*sqrt(405))*2)**2). -63207 - 972*sqrt(5) Simplify (4*(5 + sqrt(162)*-2) + 5*(sqrt(162) + -3*(-2 + sqrt(162))))**2*-4. -219952 + 64800*sqrt(2) Simplify 3 + ((sqrt(20)/(sqrt(20)/(-2*sqrt(5))) + 4)*4 + 5)**2 + 5. -336*sqrt(5) + 769 Simplify (((sqrt(300)*1 - sqrt(300))*-6 + -5 + -4*sqrt(300)*-3*6)*-2*-6)**2. -1036800*sqrt(3) + 223952400 Simplify ((sqrt(128) + 0)*-2 - (0 + sqrt(128) + 0) - -4*(((1 + sqrt(72) + sqrt(72) - sqrt(72) - sqrt(72))*-6 - sqrt(72)) + sqrt(72))*-5)**2. -5760*sqrt(2) + 15552 Simplify (sqrt(6048) + (sqrt(6048) - (sqrt(6048) - (sqrt(6048) + -1*sqrt(6048))*-2 - sqrt(6048))))/((sqrt(150)*3 + sqrt(150))*3 - sqrt(150))*6. 144*sqrt(7)/55 Simplify 4 + ((sqrt(16)/sqrt(50) - sqrt(8))**2 + 2 - (1*sqrt(14)/sqrt(7) - (sqrt(2) - (sqrt(10) - sqrt(640))/sqrt(5)))). 7*sqrt(2) + 278/25 Simplify (1*(sqrt(156) + (sqrt(156) - (sqrt(156) - 4*sqrt(156)))))/((sqrt(150)*3)/sqrt(2)). 2*sqrt(13)/3 Simplify -2*(sqrt(112) + -1 + sqrt(112) + -2 + (sqrt(112) - (sqrt(112)*1 + 1)) - ((sqrt(112) - (sqrt(112) + 5 + -1*sqrt(112))) + 0))**2 + 5. -221 - 16*sqrt(7) Simplify 6*-5*((sqrt(7) + -2 + sqrt(63) - sqrt(7))**2 + 4 - -4*(sqrt(700) + -1 + sqrt(700))**2)*-3. -15480*sqrt(7) + 1014750 Simplify (-6*(4*((1 + sqrt(11))*2 + -5 - (6*sqrt(121)*2 - sqrt(121))/sqrt(11)) + 3))**2. 23328*sqrt(11) + 516132 Simplify ((sqrt(117)*3*2 - sqrt(117) - 2*(sqrt(117)*4 - sqrt(117)))/((5*sqrt(1296) - sqrt(1296)) + sqrt(324)*5))**2. 1/468 Simplify 0 + ((-6*-2*sqrt(272) + sqrt(272)*-1*3)**2 - -4*((sqrt(102)/(sqrt(18)/sqrt(3)))**2 + (-2*sqrt(20
{ "pile_set_name": "DM Mathematics" }
85731? 3, 228577 List the prime factors of 5508078. 2, 3, 53, 17321 What are the prime factors of 109892? 2, 83, 331 What are the prime factors of 55828? 2, 17, 821 List the prime factors of 8551521. 3, 11, 28793 What are the prime factors of 178197? 3, 59399 What are the prime factors of 1529936? 2, 95621 What are the prime factors of 1034866? 2, 7, 193, 383 List the prime factors of 2459032. 2, 61, 5039 What are the prime factors of 6489919? 73, 88903 What are the prime factors of 26365128? 2, 3, 31, 35437 List the prime factors of 574793. 23, 67, 373 What are the prime factors of 2355385? 5, 67, 79, 89 What are the prime factors of 25168? 2, 11, 13 What are the prime factors of 358385? 5, 229, 313 What are the prime factors of 2061602? 2, 1030801 List the prime factors of 2492745. 3, 5, 166183 List the prime factors of 9588884. 2, 17, 23, 6131 What are the prime factors of 23111277? 3, 7, 19, 57923 What are the prime factors of 1708169? 1708169 List the prime factors of 2787523. 47, 127, 467 What are the prime factors of 1257482? 2, 37, 16993 List the prime factors of 111802. 2, 55901 List the prime factors of 618720. 2, 3, 5, 1289 List the prime factors of 260128. 2, 11, 739 List the prime factors of 2298380. 2, 5, 7, 16417 What are the prime factors of 965970? 2, 3, 5, 10733 What are the prime factors of 29278246? 2, 14639123 List the prime factors of 11146385. 5, 2229277 What are the prime factors of 3832563? 3, 7, 182503 What are the prime factors of 320709? 3, 106903 What are the prime factors of 150951? 3, 67, 751 What are the prime factors of 5815242? 2, 3, 269, 1201 List the prime factors of 2810494. 2, 1405247 What are the prime factors of 1202192? 2, 227, 331 List the prime factors of 2583245. 5, 7, 23, 3209 List the prime factors of 6326200. 2, 5, 47, 673 List the prime factors of 12209500. 2, 5, 24419 What are the prime factors of 377055? 3, 5, 7, 19 List the prime factors of 4144081. 4144081 List the prime factors of 1565205. 3, 5, 104347 What are the prime factors of 1535023? 7, 31327 What are the prime factors of 9984617? 53, 188389 What are the prime factors of 2901745? 5, 7, 11, 7537 List the prime factors of 165071. 23, 7177 List the prime factors of 305903. 13, 23531 List the prime factors of 9144418. 2, 73, 62633 List the prime factors of 22588. 2, 5647 What are the prime factors of 1682610? 2, 3, 5, 56087 List the prime factors of 122047. 31, 127 What are the prime factors of 435626? 2, 139, 1567 What are the prime factors of 23837322? 2, 3, 307, 12941 List the prime factors of 1683299. 1683299 What are the prime factors of 613092? 2, 3, 19, 2689 What are the prime factors of 10726061? 2579, 4159 What are the prime factors of 8342254? 2, 19, 219533 List the prime factors of 25242045. 3, 5, 53, 31751 What are the prime factors of 2626475? 5, 31, 3389 What are the prime factors of 4570304? 2, 71411 List the prime factors of 19083684. 2, 3, 211, 7537 List the prime factors of 248647. 7, 35521 What are the prime factors of 806007? 3, 173, 1553 List the prime factors of 6443225. 5, 97, 2657 List the prime factors of 3174291. 3, 17, 20747 List the prime factors of 4171975. 5, 109, 1531 List the prime factors of 1650584. 2, 13, 59, 269 What are the prime factors of 454257? 3, 17, 2969 What are the prime factors of 6387070? 2, 5, 17, 37571 What are the prime factors of 4729288? 2, 591161 List the prime factors of 317245. 5, 67, 947 List the prime factors of 2612799. 3, 7, 67, 619 List the prime factors of 9140479. 9140479 What are the prime factors of 10651537? 13, 17, 48197 List the prime factors of 2571058. 2, 7, 67, 2741 What are the prime factors of 113658? 2, 3, 19, 997 What are the prime factors of 2407426? 2, 7, 61, 2819 What are the prime factors of 293849? 31, 9479 What are the prime factors of 55362? 2, 3, 9227 List the prime factors of 953123. 139, 6857 What are the prime factors of 27203? 11, 2473 List the prime factors of 14600072. 2, 397, 4597 List the prime factors of 3393064. 2, 17, 61, 409 What are the prime factors of 31921? 137, 233 List the prime factors of 222753. 3, 41, 1811 List the prime factors of 526356. 2, 3, 14621 What are the prime factors of 1167520? 2, 5, 7297 What are the prime factors of 298795? 5, 7, 8537 List the prime factors of 2009665. 5, 7, 67, 857 List the prime factors of 659146. 2, 67, 4919 List the prime factors of 1535020. 2, 5, 23, 47, 71 What are the prime factors of 2807016? 2, 3, 116959 List the prime factors of 4942258. 2, 953, 2593 List the prime factors of 194294. 2, 19, 5113 What are the prime factors of 817644? 2, 3, 61, 1117 What are the prime factors of 177628? 2, 11, 367 List the prime factors of 434881. 434881 What are the prime factors of 1663144? 2, 7, 17, 1747 What are the prime factors of 11696040? 2, 3, 5, 53, 613 List the prime factors of 2021683. 113, 17891 What are the prime factors of 10432197? 3, 19, 61007 List the prime factors of 2332341. 3, 11, 7853 What are the prime factors of 6386428? 2, 1231, 1297 What are the prime factors of 1924103? 331, 5813 List the prime factors of 425385. 3, 5, 23, 137 What are the prime factors of 1560596? 2, 23, 16963 What are the prime factors of 6091539? 3, 2030513 List the prime factors of 10713972. 2, 3, 31, 83, 347 List the prime factors of 226264. 2, 28283 What are the prime factors of 3992487? 3, 131, 10159 What are the prime factors of 4568327? 4568327 List the prime factors of 1408456. 2, 7, 3593 What are the prime factors of 370962? 2, 3, 37, 557 List the prime factors of 271539. 3, 89, 113 List the prime factors of 687704. 2, 31, 47, 59 List the prime factors of 4950721. 313, 15817 What are the prime factors of 3068033? 191, 16063 What are the prime factors of 2462145? 3, 5, 7, 131, 179 What are the prime factors of 1043844? 2, 3, 37, 2351 List the prime factors of 2912166. 2, 3, 199, 271 List the prime factors of 244999. 337, 727 What are the prime factors of 16381341? 3, 1229, 1481 List the prime factors of 6465934. 2, 197, 16411 List the prime factors of 259351. 167, 1553 What are the prime factors of 17055? 3, 5, 379 What are the prime factors of 288127? 7, 41161 List the prime factors of 473645. 5, 43, 2203 List the prime factors of 387953. 387953 List the prime factors of 478155. 3, 5, 127, 251 What are the prime factors of 40119? 3, 43, 311 List the prime factors of 1679353. 13, 19, 523 What are the prime factors of 148535? 5, 61, 487 List the prime factors of 193043. 193043 List the prime factors of 10493. 7, 1499 What are the prime factors of 257844? 2, 3, 21487 What are the prime factors of 119753? 31, 3863 What are the prime factors of 721582? 2, 17, 19, 1117 What are the prime factors of 3648149? 17, 53, 4049 What are the prime factors of 1284689? 7, 183527 What are the prime factors of 3264218? 2, 1632109 List the prime factors of 6869382. 2, 3, 13, 88069 List the prime factors of 145149. 3, 48383 List the prime factors of 468600. 2, 3, 5, 11, 71 List the prime factors of 142491. 3, 47497 List the prime factors of 3017494. 2, 47, 683 List the prime factors of 1716441. 3, 19, 30113 List the prime factors of 593228. 2, 43, 3449 List the prime factors of 3253731. 3, 13, 19, 4391 List the prime factors of 499435. 5, 59, 1693 List the prime factors of 7378. 2, 7, 17, 31 What are the prime factors of 332624? 2, 20789 List the prime factors of 886912. 2, 13, 41 List the prime factors of 4824783. 3, 536087 List the prime factors of 7813149. 3, 17, 239, 641 List the prime factors of 115540. 2, 5, 53, 109 List the prime factors of 1005638. 2, 502819 List the prime factors of 14801293. 13, 683, 1667 List the prime factors of 2391721. 2391721 List the prime factors of 6988477. 47, 148691 What are the prime factors of 9279409? 491, 18899 List the prime factors of 285621. 3, 7, 29, 67 List the prime factors of 25641621. 3, 19, 113, 1327 What are the prime factors of 174473? 13, 13421 List the prime factors of 183156. 2, 3, 15263 What are the prime factors of 325708? 2, 107, 761 List the prime factors of 113039. 113039 List the prime factors of 379594. 2, 189797 What are the prime factors of 255498? 2, 3, 97, 439 What are the prime factors of 137806? 2, 68903 List the prime factors of 959569. 13, 223, 331 What are t
{ "pile_set_name": "DM Mathematics" }
econd derivative of z**4/12 - 5*z**3/6 + 7*z**2/2 + 30*z. Let m(h) = 6*c(h) - 5*v(h). Calculate m(9). -11 Let f(x) = -3 + 0 + 4 + 0 + 2 - x. Give f(6). -3 Let d(m) = m**2 + 4*m + 2. Let q(x) = 2*x**2 - 5*x + 5. Let k be q(2). Suppose -k*b - 5 = -2*b. Give d(b). 7 Let g = -5 + 0. Let m(y) = 630 + y - 631 + y - 3*y. Give m(g). 4 Let a be (-6)/4 + (91/(-14) - -6). Let d(g) = -2*g**3 - 4*g**2 + g + 3. Calculate d(a). 1 Let l = 43 - 43. Let q(x) = 4 + l*x**3 + 11*x + x**3 + 3*x**2 - 14*x. Determine q(-4). 0 Suppose -13*i + 9 = 9. Suppose k + 6*k - 21 = i. Let m(s) be the second derivative of -s**4/6 + 5*s**3/6 - 2*s**2 - s. What is m(k)? -7 Let h(o) = -o**3 + 6*o**2 - o - 4. Suppose 36*i - 12 = 32*i. Suppose -i*f + 10*f = 42. What is h(f)? -10 Let g(w) = w**3 + 5*w**2 + 2*w + 2. Let y(z) = 2*z**2 - 12*z + 12. Let d be y(4). Give g(d). 10 Let s(x) = 5*x**2 + 6*x + 5. Let n(q) = -10*q**2 - 13*q - 11. Let p(b) = 4*n(b) + 9*s(b). Let f = 165 + -268. Let y = -104 - f. Determine p(y). 4 Let v(z) = -z**2 - 3*z + 1. Let f(u) = -u**3 + 4*u**2 + 8*u - 12. Let x be f(5). Suppose 5 = -2*p - x. Determine v(p). -3 Let r = -260 - -255. Let c(y) = y**3 + 6*y**2 + 4*y - 1. Calculate c(r). 4 Let a(s) = 7*s - s + 3*s - 17 + 16 + 2*s. Calculate a(6). 65 Suppose 37 + 75 = 4*h. Let w(o) = h*o - 3 - 48*o + 21*o. Calculate w(5). 2 Suppose 3*b - 14 - 310 = 0. Let s = 7 - 5. Let w be s/5 + b/(-20). Let f(h) = -2*h - 1. What is f(w)? 9 Let o(t) = -3*t**3 + t**2 - 1. Suppose -4*z + 1011 = 1003. Calculate o(z). -21 Let i = -11 + 13. Let t be 11/i - (-4)/(-8). Let m(b) = b**2 - b. Let w(p) = p**3 - 4*p**2 + 2*p + 5. Let q(a) = 2*m(a) - w(a). Calculate q(t). 0 Suppose 3*h = -5*o + 9, 0 = -4*h - o - 7 + 19. Let m(l) = -l**3 + 3*l**2 - 4*l + 7. What is m(h)? -5 Let o(l) = 2*l**2 - 28*l + 6. Suppose 4*g - 54 = -5*w, 50 = 6*w - 3*w - 2*g. What is o(w)? 6 Let h(c) = 25*c**2 + 5 + 3*c - 78*c**2 + 27*c**2 - 7*c + c**3 + 21*c**2. Let t = 20 + -14. Give h(t). 17 Let u(v) be the second derivative of -1/120*v**5 + 0*v**2 - 5/12*v**4 + 5*v - 1/720*v**6 + 0*v**3 + 0. Let m(n) be the third derivative of u(n). What is m(-2)? 1 Let i(m) = 3*m**3 + 6*m + 7. Let z(n) = 5*n**3 + 11*n + 13. Let f = -108 + 101. Let c(r) = f*i(r) + 4*z(r). Determine c(3). -18 Let b(p) = -10*p + 190. Let o be b(19). Let v(c) = c**2 + c - 1. Give v(o). -1 Let j(p) be the second derivative of -3*p**3/2 + 5*p**2/2 - 6*p - 2. What is j(2)? -13 Suppose -2*t = -7*t. Suppose 0 = -t*h + 2*h. Suppose 2*g - 2 = -h. Let z(q) = -5*q**2 - 1. What is z(g)? -6 Let f(r) = 2 + 3*r - r**2 + r + 9*r**2 - 7*r**2. Let v = -40 + 77. Suppose 2*c = 4*u - 0*c + 26, 4*c - v = 5*u. Determine f(u). 7 Let i(t) = -2*t - 2. Let g be i(-2). Suppose g*z = -0 + 6. Let n be -4 - 4/(7 - z). Let d(l) = -l**3 - 6*l**2 - 7*l - 5. Give d(n). 5 Let d(c) = c**2 - 695 - 698 + 1395 - 9*c. Let s be 3/(((-9)/(-21))/1). What is d(s)? -12 Suppose -3*v + 4 = -v. Let x = v - 5. Let y(u) = u**2 + u + 2. Calculate y(x). 8 Let o = -240 - -251. Let m(l) = -l**2 + 9*l + 6. Give m(o). -16 Let a(s) = 13*s + 4*s**3 - 11*s**2 + 6*s**3 + 5*s**3 + 8*s**3 - 24*s**3 + 8. Determine a(-12). -4 Let i = 13 - -5. Let a(l) = l + 18 - 35 + i. Calculate a(2). 3 Suppose 0 = -5*t + 2*t + 6. Suppose 5*r - 17 = 3*u - t, -3*u = -4*r + 9. Let s(l) = -l**2 + 5*l - 3. Calculate s(r). -9 Let z(c) = -c**3 - c**2 - 2*c - 2. Let x be z(-2). Let r = 17 - x. Let w(h) = -h - 5*h**2 + r*h**2 - h - 1. Calculate w(-1). 7 Let k = -443 - -442. Let z(u) = -6*u + 1. Give z(k). 7 Let q be (-32)/(-10)*(-9 - -14). Let z be (24/q)/((-1)/4). Let c(p) be the second derivative of p**3/6 + 5*p**2 - 2*p. Calculate c(z). 4 Let s(f) = -2 - 47350*f**2 + 47349*f**2 + 2*f + 1. Give s(5). -16 Let f(c) = 3*c - 6. Let q be (-16)/24*30/(-4). Suppose -5 - 10 = -q*s. Suppose 5 + s = 2*j. What is f(j)? 6 Suppose 2*w - 7 = -5*w. Let b(l) = l + 1. Let s(c) = -c - 1 + 0*c - 5*c. Let j(q) = -2*b(q) - s(q). Calculate j(w). 3 Let t(s) = s**2 - 297*s + 296*s - 4 + 3 + 3. Determine t(2). 4 Let j(i) = i + 2. Let c be 36/(-27) - (-4)/(-6). Let f be (2/6)/(c/(-12)). Suppose t = 2*t + f. Calculate j(t). 0 Let l(h) = -23*h**2 - 4*h + 64*h**2 - 37*h**2 + 3*h**3 - 1 - 2*h**3. What is l(-4)? 15 Let x(s) = -1. Let p(k) = k + 5. Let u(h) = p(h) + 5*x(h). Let m(a) = -a**2 - 6*a + 2. Let n be m(-3). Let j = n + -16. What is u(j)? -5 Suppose 4*f - f = -3*v + 87, 0 = f - 2*v - 23. Suppose -13*a + f = -4*a. Let h(j) = -j**2 + 3*j + 2. Determine h(a). 2 Let w(z) be the second derivative of -z**5/20 - 5*z**4/12 + 7*z**3/6 + 7*z**2/2 + z. Suppose -4*u - 68 = 4*a, 3*u - a + 47 = 8. Let d = 8 + u. Give w(d). 1 Let o(n) = 270*n + 21 - 263*n - n**2 - 29. What is o(6)? -2 Let u(c) = 7*c**2 + c - 2*c - 11*c - 14 - c**3 + 9. Determine u(5). -15 Let y(o) be the first derivative of -9*o**2/2 + 3*o + 63. Determine y(2). -15 Let h(l) = l**3 - 8*l**2 - 8*l - 9. Let t be h(9). Let r be t/(1/(-2)*2). Let u(s) = r - 5 - 3*s - s**2 + 0*s - 5*s. Calculate u(-5). 10 Let w be 4/(-8) - 44/(-8). Let c(l) = -l - 14. Let d be c(-18). Suppose 11 = -d*f - w. Let y(n) = -n**2 - 4*n - 1. What is y(f)? -1 Let r(g) = g**2 + g + 2. Suppose -2*k = k + 6. Let q be r(k). Let i be q/2 - (1 - 4). Let m(l) = -l**3 + 5*l**2 + l + 1. What is m(i)? 6 Let d(b) = 1 + 18*b**2 - 435*b - 19*b**2 + 436*b. What is d(4)? -11 Let s = 6 + -4. Let u(z) = z**3 - 13*z**2 + 13*z - 6. Let h(f) = -3 + 6*f + f - 9*f**2 + 2*f**2. Let i(a) = 5*h(a) - 3*u(a). What is i(s)? -13 Let k(s) = s**2 + 6*s - 3. Suppose -23*x + 3 = 118. Determine k(x). -8 Suppose -7*z = z - 64. Suppose z*q + 7 = q. Let g(b) = -b**2 - b - 1. What is g(q)? -1 Let k(s) = -9*s - 4. Let z(d) = -7*d - 1. Let y(h) = -2*k(h) + 3*z(h). Give y(-7). 26 Let y(n) = 26 - 3*n - 39 + 10 + 2*n. Let z(j) = -3*j + 5*j + 0 + 8. Let t be z(-6). Determine y(t). 1 Suppose 1 = o - 1. Let u(s) = -s. Let l be u(0). Let a(y) = y + y + y**2 + l*y - 3*y + 2. Calculate a(o). 4 Let o(u) be the third derivative of 1/6*u**4 + 0 - 1/15*u**5 + 0*u + 1/2*u**3 - u**2. Determine o(-2). -21 Let j(c) = c**3 - 12*c**2 - c + 5. Let g = -505 - -517. Calculate j(g). -7 Let s(n) = 3*n**3 + n - 1. Suppose -10 = -73*p + 63. Calculate s(p). 3 Let f(c) = 6 - 14*c**3 + 2 + c**2 - 14*c**3 - 9. What is f(1)? -28 Suppose c = h, -5*h + 15 = c - 3. Let g(j) = -3*j - 2 + 0*j**2 + j**3 - 2*j**2 + 1. Calculate g(c). -1 Suppose l - 25 = -5*b, 3*b - 19 = -7. Let r(u) = 2*u - 11. Let g(j) = -2*j + 12. Let d(m) = 4*g(m) + 5*r(m). What is d(l)? 3 Let r(g) = -g**3 + 10*g**2 + 10*g + 14. Let b be r(11). Let c(o) = 10 - 2 + 1 - b*o + o. What is c(6)? -3 Let z(d) be the second derivative of -d**4/12 - 11*d**3/6 + 9*d**2 + 62*d. Calculate z(-13). -8 Let p(x) = -x**2 + 12*x + 2. Let b be (-1*(-11)/6)/(216/1296). What is p(b)? 13 Let q = -723 - -722. Let z(p) = -21*p**2. Determine z(q). -21 Let o = -373 - -371. Let n(x) = -x + 3*x**2 + 4*x - x**3 - 5 + 2*x**2. Let v(m) = -4*m**3 + 21*m**2 + 11*m - 21. Let k(b) = o*v(b) + 9*n(b). What is k(4)? 1 Let m(u) be the first derivative of 7*u**2/2 + 11*u + 245. What is m(-8)? -45 Let t(b) = 19*b - 6. Let v be t(1). Let o(k) = -v + 11 - 2*k + 6 + k**2. Determine o(-3). 19 Suppose 4*f + z = -4*z + 1, 2*f + 5*z = 13. Let w = f - -3. Let i(d) = -2*d + 2 - d + 2*d - 4. Give i(w). 1 Let k(l) = l**2 - 4*l. Suppose 2 = -2*x - 5*d, -3*x - 5*d + 10 = 2*x. Suppose -4 = -x*p + 16. Calculate k(p). 5 Let i = -14 - -16. Let m(z) = z**3 - 2*z**2 + 0*z**3 + 2*z - 2 - i*z**2 + 0*z**3. Let u = -3 + 6. Determine m(u). -5 Let i(j) = j**3 + 7*j**2 - 9*j - 6. Suppose -5*s + 5*p = 30, 2*s + 14 = -s + 5*p. Let a be i(s). Let d(n) = -4*n - 1. Give d(a). -9 Let v(b) = -b - 1. Let x(g) = -49*g - 3. Let d be x(-1). Let z = d - 80. Let m = z - -34. Give v(m). -1 Let o(v) = -4*v**2 + 8*v + 5. Let n(c) = -11*c**2 + 23*c + 16. Suppose 25 = m + 33. Let f(q) = m*o(q) + 3*n(q). Give f(6). 2 Let w(b) be the second derivative of b**6/120 - b**4/24 + 3*b**2/2 - 2*b. Let m(r) be the first derivative of w(r). Let v = -28 - -28. Determine m(v). 0 Let o(i) = 81*i**2 + 77*i**2 + 80*i**2 - 5*i**3 - 2*i - 237*i**2 + 1. Let p = -1 - -2. Give o(p). -5 Let r(t) = -t**3 + 11*t**2 + 13*t - 5. Let y be r(12). Let l(o) = o**3 - 8*o**2 + 2*o + 7. Let k be l(7). Let d be (-36)/k - 2/y. Let h(m) = 6*m. Give h(d). 6
{ "pile_set_name": "DM Mathematics" }
t i = 11848248420 + -11848248498.99999853. Let z = 79 + i. Round z to 7 dps. 0.0000015 Suppose -5*c = -91 - 114. What is c rounded to the nearest ten? 40 Let i = -111 + 265. Let y be (4 - i)/((-6)/(-2800)). Round y to the nearest one hundred thousand. -100000 Let f = -0.7902 - -0.79. Round f to five decimal places. -0.0002 Let u(z) = 1776014*z + 1. Let f be u(-1). Let x(b) = -22389*b**2 + 3*b + 9. Let q be x(-6). Let s = q - f. Round s to the nearest 100000. 1000000 Let m be 6*(-2)/(-8)*2. Suppose 0 = 5*j + m*w + 37000015, -29599985 = 3*j + j - 3*w. Round j to the nearest one million. -7000000 Let o = -72 - -71.999866. Round o to 5 dps. -0.00013 Let g = -0.0900024 + 0.09. Round g to six decimal places. -0.000002 Let c = -1 + 1.3. Let b = c - 0.2. Let y = b + -4. What is y rounded to the nearest integer? -4 Let f = 560 - -1540. Let m be (f/(-3))/(2/(-10000)). What is m rounded to the nearest 1000000? 4000000 Let y = -5 + 9. Let d = -4.00000055 + y. What is d rounded to seven dps? -0.0000006 Let f = 29 + -41. Let m = -10.9 - f. Let k = 1.10000142 - m. What is k rounded to seven decimal places? 0.0000014 Let v = 0.13 + -1.43. Let z = v + 1.2999965. Round z to 6 dps. -0.000004 Let w = 16.640663 - 16.1707. Let n = w - 0.47. What is n rounded to five dps? -0.00004 Let n = -0.04 + -11.96. Let y = 6 + n. Let x = y - -5.9928. Round x to 3 decimal places. -0.007 Let v = 473 - 472.9739. Round v to three dps. 0.026 Let m(l) = -172*l - 4. Let a be m(3). What is a rounded to the nearest one hundred? -500 Let r = 4735 + -4675.98. Let p = r + 53.31. Let n = p + -113. What is n rounded to one dp? -0.7 Suppose -3*c = -2*c - 275009. Suppose 110012 = 2*w - 4*i, -5*w - i = -4*i - c. Round w to the nearest ten thousand. 60000 Let g = 149 + -148.889. Let n = g - 9.911. What is n rounded to 0 dps? -10 Let h(r) = -6245*r + 5. Let j be h(-2). Suppose -5*n = 3*x + 37495, -3*n + j = -x - 8*n. What is x rounded to the nearest one thousand? -13000 Let t = -12 + 12.003. What is t rounded to two dps? 0 Let j = 1.96 - -0.04. Let k = -1698.27963 + 1696.28. Let f = k + j. What is f rounded to four dps? 0.0004 Let n = -0.04083992 + 17.04085492. Let u = n - 17. Round u to 5 dps. 0.00002 Let t be 612002/6 + 9/(-27). Round t to the nearest ten thousand. 100000 Let d be (-122594)/(-1 + -1 - -1). Let g = d - 22594. What is g rounded to the nearest 1000000? 0 Let n(h) = 31250*h**2 - h + 4. Suppose 2*u = -0*u + 8. Let p be n(u). What is p rounded to the nearest 100000? 500000 Let m(i) = -20146*i**2 - i - 1. Let f be m(-1). Let q = f - -5436. Let c = 2210 + q. What is c rounded to the nearest one thousand? -13000 Let m = -34469581.81748248 - 1827750.18251692. Let c = m + 36297328. Let f = c + 4. What is f rounded to six dps? 0.000001 Let s(n) be the third derivative of n**4/12 + 2*n**2. Let p be s(4). Let a be (0 + -1016000)*100/p. What is a rounded to the nearest 1000000? -13000000 Let m = 307.172 - 307.3619807. Let z = 0.19 + m. What is z rounded to 6 decimal places? 0.000019 Let q(r) = r**2 + 4*r - 8. Let p be q(-10). Round p to the nearest 10. 50 Let q(d) = -3300*d**3 - d**2 + 10*d. Let o be q(10). What is o rounded to the nearest 1000000? -3000000 Let x be (5889/2)/(2/2876). Let v = 34191 - x. What is v rounded to the nearest one million? -4000000 Let k(w) = w**2 + 9*w - 7. Let r be k(-9). Let c be (4 - (-1 - -2))*r. Let z = 76 + c. What is z rounded to the nearest 10? 60 Let w = 431383.039981 + -431401.04. Let k = -19.2 - -1.2. Let p = k - w. What is p rounded to 5 dps? 0.00002 Let n = 1374758 + -774758. Round n to the nearest 100000. 600000 Let f = 0.01 + -0.07. Let m = -1.070017 - -1.01002. Let z = f - m. Round z to 6 decimal places. -0.000003 Let g = -0.05 - 0.05. Let q = g - 0.04. Let w = -0.139948 - q. Round w to five decimal places. 0.00005 Let q = 189009496105018.9999954 - 189009520518388. Let h = q + 24413427. Let g = h + -58. Round g to 6 dps. -0.000005 Suppose 0 = -s + 4*s - 127593. Let i be (0 + s/(-9))*-3. Suppose 0 = r, -r + i - 86177 = -2*l. What is l rounded to the nearest ten thousand? 40000 Let r = -143.6 + 76. Let i = -19.4 + r. Let p = i + 86.9906. Round p to three dps. -0.009 Suppose -2*n - 5*o - 1 = 0, -n + o - 5 + 1 = 0. Let v be (n - 82/(-4))*-2. What is v rounded to the nearest 10? -40 Let z = -5774.7037 - -130252607.7037. Let v = 130246851.0000007 - z. Let u = 18 - v. What is u rounded to 7 dps? -0.0000007 Let b be 12/7 - (-6)/21. Let k be (b + -4 + 0)*1. Let y be (-22)/((-2)/(0 - k)). What is y rounded to the nearest ten? 20 Let u = 7 + 1. Suppose u + 8 = -4*p, 3*c + 397441 = 2*p. Let a = 200483 + c. What is a rounded to the nearest 10000? 70000 Let j = 0.022 + 0.072. Let v = -1.3 - -1.37. Let m = v - j. What is m rounded to two decimal places? -0.02 Let d = 234.00000234 + -234. Round d to six dps. 0.000002 Suppose 606 = -s + 4*j, -8 = j - 3*j. What is s rounded to the nearest 100? -600 Suppose -5 - 15 = 4*u. Let y(w) be the second derivative of 3*w**5/20 + w**4/4 + w**3 - 3*w. Let s be y(u). What is s rounded to the nearest 100? -300 Let p be ((-14)/(-35))/((-1)/(-10)). Suppose 3*o + p*a - 21592 = 0, 0*o + 2*a + 21604 = 3*o. Round o to the nearest one thousand. 7000 Suppose -43343565 = -5*x + 28656445. Suppose d = 4*l - d - x, 0 = -5*l - 5*d + 17999995. What is l rounded to the nearest one million? 4000000 Let n = -0.0599947 + 0.06. What is n rounded to 6 decimal places? 0.000005 Let i = -259773938061.99942 + 259776787532. Let a = 2849433 - i. Let v = a - -37. What is v rounded to 4 decimal places? -0.0006 Let q = 60.98 + 0.02. Let o = q + -60.99946. Round o to 4 dps. 0.0005 Let z = -8 - -6.8. Round z to 1 decimal place. -1.2 Let m = -317220 + 717220. Round m to the nearest 10000. 400000 Let v = 0.08 - 0.08000095. What is v rounded to 7 dps? -0.000001 Let l = -0.5 - 59.5. Let a = l - -105. Let q = -50.4 + a. Round q to zero dps. -5 Let w = 1.546 + -2.15. What is w rounded to one decimal place? -0.6 Let q be (-1)/(-3) - 845994/(-18). Round q to the nearest ten thousand. 50000 Let i = 1.564 + -1.6. Let r = -0.47 - -0.5002. Let c = r + i. Round c to three decimal places. -0.006 Let m(h) = -2 + 6862*h + 2 - 845*h. Let z be m(-3). Let t = z + 60051. What is t rounded to the nearest ten thousand? 40000 Let y = 3 + -1. Let z(u) be the first derivative of -299999*u**3/3 - 3*u**2/2 + 2*u - 5. Let o be z(y). What is o rounded to the nearest one million? -1000000 Let t = 987.0001022 + -987. What is t rounded to five dps? 0.0001 Let y be 3*1*2/6. Let v be (y + 1 - 2049999) + -3. Round v to the nearest 100000. -2100000 Let b = 6.9 - 1.1. Let n = 0.8 - b. Let g = n - -4.34. What is g rounded to one decimal place? -0.7 Let n = 100356 + -65946. Suppose 0 = -4*y + 87210 - n. Round y to the nearest 1000. 13000 Let j = -0.027 - -0.02684. Round j to 4 dps. -0.0002 Let y = -0.399876 + 0.4. What is y rounded to five dps? 0.00012 Let j be 7650/21*(-28)/1. What is j rounded to the nearest one thousand? -10000 Let u = 17385 - 5385. What is u rounded to the nearest one thousand? 12000 Let q = 105430530.99999999 - 105430530. Let n = -1 + q. Round n to seven decimal places. 0 Let t = -303 - -168. Let k = -151.8 - t. What is k rounded to the nearest integer? -17 Let d = -0.198164937 - 0.021833873. Let f = 5.22 - 5. Let i = d + f. What is i rounded to seven dps? 0.0000012 Suppose -2*a + 11 = -0*j - j, 0 = -3*a - j + 14. Suppose 3*s = -3*v - 3, -3*s + a - 24 = -v. Let b be (-2)/s + 6/(-15). Round b to the nearest 10000. 0 Let d = -39.88 + 40. What is d rounded to 1 dp? 0.1 Let l = -0.92000148 - -0.92. What is l rounded to seven dps? -0.0000015 Let t = -1463656 + 2379226. Let l = 2115570 - t. Round l to the nearest 1000000. 1000000 Let k be (-21902)/3 + 4/6. Round k to the nearest one thousand. -7000 Let h = -99147 + 156647. What is h rounded to the nearest one thousand? 58000 Suppose -4*x - v = -11, -2*x + 2 = -4*x + 2*v. Let b(p) = -8*p**3 - 3*p**2 + p - 1. Let z be b(x). Round z to the nearest ten. -80 Let b = 106034 + 353966. Round b to the nearest one hundred thousand. 500000 Let s = -356444 - 173556. Round s to the nearest 100000. -500000 Let t = -4547 - -4547.19055. Let m = -0.19 + t. Round m to 4 decimal places. 0.0006 Let o = 4 + -6. Let n = o - -5. Let c(v) = 501*v**2 -
{ "pile_set_name": "DM Mathematics" }
d + 142 for g. 3 Solve -w - 21589 + 21601 = 2*c, 4*w - 17*c - 123 = 0 for w. 18 Solve 2*g = 5*y + 19, -205*y + 210*y + g + 5 = 2 - 10 for y. -3 Solve -2*y = -5*u - 16, -3*u + 32201 = -4*y + 32233 for y. 8 Solve -2152*g + 2179*g = 3*k - 282, -4*g + 3*k - 52 = 0 for g. -10 Solve -10*w + 110*j = -5*w + 111*j - 22, -4*w + 2*j - 91 + 19 = 0 for w. -2 Solve -3*d = -2*b - 79, -5538*b + 1623 = -5572*b - 5*d for b. -47 Solve 53*j - 19 = 80*j - 26*j - 3*r, -2*j - 13*r = -38 for j. -7 Solve -127 = 4*s - 5*i + 2*i, 4*i = -s + 33359 - 33386 for s. -31 Solve -175 = -t + 3*d, -210*t + 2*d + 400 = -206*t - 5*d for t. -5 Solve -3*j + 1735 - 869 = -j + r + 868, -18 = 3*r for j. 2 Solve 5*o - 4*s - 91 + 16 = 0, 131*s - 87*s - 43*s - 493 = -51*o + 63 for o. 11 Solve -8*x = -0*y + 3*y - 13*x + 58, -4*y - 2*x - 34 = -0 for y. -11 Solve 1323568*i - 1323572*i = -5*m - 350, -2*m = -4*i + 344 for i. 85 Solve 4*i + o = 16, 2*o + 13 - 36 = -5*i for i. 3 Solve -15*y - 15*y - 20 = 17*y - 52*y - 5*w, 9*y - 4*w + 8 = -2*w for y. 0 Solve 313*b - 314*b - 108 = -27*r, -14 = -5*r - 5*b + 6 for r. 4 Solve -4*b + 12*b - 3*b = -4*x - 19, 2*b - x = -5 for b. -3 Solve 0 = -2*p + 52*m - 54*m + 12, 30 = 4*p + 6*m for p. 3 Solve -5*v = 3985*b - 3982*b + 46, -2*b + 3*v + 39 = 0 for b. 3 Solve -3*y - 63 = -2*d, 25*y + 3*d = 4*d + 5 - 483 for y. -19 Solve 12*h + 132 = 2*p, 4*h - 14 - 7 = -p + 26 + 19 for h. 0 Solve -3*b = 13*n - 5*b + 171, 0 = -4*b - 2 + 6 for n. -13 Solve 5*q = 20, -o + 3*o + 2*o - 2*q - 9 = 3*q - 5 for o. 6 Solve 0*v + 0*v - 126 = -9*a, -155*v - 2*a = -159*v - 24 for v. 1 Solve -111426*r = -111454*r + 3*z - 24 - 50, 3*z - 20 = r for r. -2 Solve 126*s - 128*s + 4*i + 20 = 0, 10*s - 6*s - 4*i - 12 = 0 for s. -4 Solve 0*x + 9*g - 1690 = -x + 7*g - 1707, -365 = 4*x + 35*g for x. 5 Solve 23*u - 16 = 220*j - 222*j + 25*u, -3*j = -4*u - 32 for j. 0 Solve -1589*w + 1591*w - 5*x - 155 = 0, -1601 = -23*w - 3*x for w. 70 Solve 0*w + 141 = -4*z - 19*z + 4*w, w = 707*z - 707*z - 5 for z. -7 Solve -10*p - 125 = -5*u - 39*p, -51*p + 52*p + 7 = -3*u for u. -4 Solve 4*t + 2*o + 37 = 9, -o + 27786 = 3*t + 27805 for t. -5 Solve -53 = -4*i + 3*f, 2*i + 1805*f - 55 = 1808*f for i. -1 Solve 3*k = -4*z - 44 - 33, 10*z + 6*z + 335 = -2*k - 5*z + 6*z for k. 5 Solve 0 = -3*k + h + 13, 832 = 3*k - 46*h + 639 for k. 3 Solve 7*g - 181 = -1229*x + 1283*x, 2*g = 5*x + 10 for x. -4 Solve -9*i - 5*i + 4*i + 40 = 4*b, -16*i + 3*b - 9 = -73 for i. 4 Solve -92*z + 16584 - 18240 = 0, -c = 5*z + 93 for c. -3 Solve -9*c - 2*i + 147 - 114 = 0, 5*c + 353 = -i + 371 for c. 3 Solve 0 = -2*u - 5*d - 101, 22 = 67*d - 63*d + 98 for u. -3 Solve 4*g = -24, 0 = -114*d - 2*g + 35 - 47 for d. 0 Solve -3*d - 166085*t = -166086*t - 12, 0 = -3*d + 171*t - 498 for d. 5 Solve 5*s - 4*t - 28 = -59 - 47, -50 = 8*s - 2*t for s. -2 Solve -45*f + 27*f + 53*q + 328 = -23*f, -3*f - 2*q = -4*q - 6 for f. -2 Solve 3847 = -4*h + 4*y + 3807, h + 26*y - 395 = 0 for h. 5 Solve -t = -4*h - 0*t + 8, -37 = h - 11859957*t + 11859960*t for h. -1 Solve 0 = 900*p - 896*p - 4*x + 48, -114 = 27*p + 3*x for p. -5 Solve 0 = -z + 5*c + 10, 47 = -4*z + 596*c - 605*c for z. -5 Solve 21*c - 9 = 8*p + 13*c + 3*c + 5, -60*p + c - 178 = 0 for p. -3 Solve 3*r = 2*u - 155 + 120, 0 = 4*u + 9*r - 25 for u. 13 Solve 61 = 4*c - 5*s, 1226 - 603 - 667 = -3*c + 2*s for c. 14 Solve 5*j - 2*i = -28, -35*j = -20*j - 12*j + 4*i - 4 for j. -4 Solve -1780*w - 35 = -1775*w, 3*f + 3*f - 11*w = f + 87 for f. 2 Solve -3*k - 2*q - 9 + 18 = k - 1, 4*q = -2*k + 2 for k. 3 Solve 8*y - 88 = -4*o, -7*y + 95*o + 97*o = 187*o + 93 for y. 1 Solve -2*t + 4037*i - 32327 = 444*i, 27 = -3*t - 0*i - 2*i + 6*i + 6 for t. 5 Solve 1425*n - 1421*n - 10 = 2*k, 10 = 5*n + 4*k - 6*k for n. 0 Solve m + 3*w + 120 = -2*m, -5*m = -8749*w + 8736*w - 556 for m. 2 Solve y + v = -88, 5*y - v = 11769 - 12185 for y. -84 Solve -2*m = -16, 6412*l = 6416*l - 2*m - 4 for l. 5 Solve -t - 3*j + 20 = -1, -4*t + 4*j - 6 = 6*t - 46 for t. 6 Solve -5*x - 50 = -x + 4*b - 2, 3*x - b - 72 = 13*x + 3*x for x. -5 Solve 0 = 2*j - l + 65, -341748*j + 341756*j - 2*l = -258 for j. -32 Solve -5*z - 209 = -4*v, 2667*z - 1337*z + 3*v = 1335*z + 208 for z. -41 Solve -286 = z + 5*u - 248, -43*z + 8*u - 352 = -56 for z. -8 Solve 59*q - 142 = 54*q - 5*c + 48, 4*q - 13*c = -10*c + 152 for q. 38 Solve -4*t = 2*t - 5*s + 29, -43 + 31 = -12*s for t. -4 Solve 0 = -5*z - 5*u + 80, 5*z + 2*u - 74 + 50 = u for z. 2 Solve -23982*t = 4*n - 23986*t - 84, 4*n + 9*t = 19 for n. 16 Solve 3*o = 118*l - 115*l - 6, 0*l - 169 = -2*l + 57*o for l. -1 Solve -24*t - 43*t + 98*t - 28*t + 5*n = -96, 30 = 3*t - 2*n for t. -2 Solve -d - 1 = -k, -221*k + 15 = -4*d + 242*k - 470*k for d. -2 Solve 503*i - 500*i - 89 = -5*q, -4*i - 4*q = -q - 60 for i. 3 Solve -26*u + 18*u + 128 = -2*x, 190*u - 8*x = 193*u - 13 for u. 15 Solve 44*x + 3*h + 460 = 252, 3*x - 3*h = -27 for x. -5 Solve -2*h + 32*a - 27*a = -217, -343 = -7*h + 8*h + 8*a for h. 1 Solve p - 26 = -2*b - 26, 554*p + 5*b = 552*p for p. 0 Solve -2*n - 5*o = 108, 61980*o = -4*n + 2*n + 61983*o - 76 for n. -44 Solve -4*k = 0, 1003 - 1007 = 4*s - 0*s - 2*k for s. -1 Solve 4*j + 5*j - 32 = 2*g + 14*j - 4*j, 80 = -5*g + 54*j for g. -16 Solve -2*l + 11*f + 6 = l - 3, -3*l + 9 = -0*l - 12*f for l. 3 Solve -z = -c - 4*z - 2, -20*z - 52 = 3*c + 12*z for c. 4 Solve -696 = -36*c + 33*c + 69*v - 62*v + 158*v, -2*c + 40 = -4*v for c. 12 Solve 5*s = 5*l + 25, -7*l = 22*s + 345 - 484 for s. 6 Solve -32*v - 58*i + 56*i = -37*v - 30, 4*i = 8*v + 52 for v. -4 Solve 8 = 2*d - 27 - 17, -j + 2*j = -37*d + 958 for j. -4 Solve -8*y + 168 = 4*g, 39*g = 34*g + y + 1 for g. 4 Solve -3355*t + 43 = -3359*t + 5*q, 2*t - 5*q = -19 for t. -12 Solve -2*b = -4*p - b - 0*b + 6, 0 = 2*p + 83608*b - 83607*b - 6 for p. 2 Solve -2*g - 39*p + 36*p = 20, 8*g + 141*p = 138*p - 8 for g. 2 Solve 0 = 4*m - t - 42, m + 6357 = 1246*t - 407*t + 25253 + 6277 for m. 3 Solve 31*f = 4*s - 199, 37*s - 13*s - 95 = 3*f + 18*s - 14 for f. -5 Solve -648*a + 639*a = b + 115, 4*b = 8 for a. -13 Solve 0 = -2*x - 3*y + 17, 148*y - 476*y - 223 = -55*x - 329*y for x. 4 Solve 288*t - 88 = 286*t + b - 4, -125*b + 119 = 3*t - 123*b for t. 41 Solve 0 = 6*x + 2*l - 28, l = -50*x + 110*x - 56*x - 14 for x. 4 Solve -7*h + 11*h = -0*z - z - 57, 0 = -29*z + 30*z - 3 for h. -15 Solve -162 = 9*s + 2*d - 121, 6*s = 2*s - 2*d - 26 for s. -3 Solve 4*y = -16*u + 23 - 11, u - 3*y = -9 for u. 0 Solve 3*r + 7*n = -113, 2*n = -5*r - 631 + 491 for r. -26 Solve x + 26 = 7*h + 5 + 21, 0 = 85*h - 5*x for h. 0 Solve -241 + 247 = -3*i, 5*i + 21 = 22*f + 77 for f. -3 Solve 2*t = 3*v + 25, -23406*t + 23410*t - 8 = 0 for v. -7 Solve 7*l + 2545*r - 2549*r = 4*l - 32, 3*r = 6 for l. -8 Solve 3*u - 2*w = 20, -285051*u + 285054*u - w - 16 = 0 for u. 4 Solve 2*l - 68363 = -6*o - 68557, 5*l + 89 = -3*o for o. -33 Solve 21 = 7*b - 12*b + 3*h, 3*h - 1 = b + 8 for b. -3 Solve 3*v - z - 27014 = -27004, 5*v + 44 = -3*z for v. -1 Solve 4*z + 10*b - 2*b = 17*b + 36, 3*z = -3*b - 12 for z. 0 Solve -4*u + 302 - 142 = -19*s + u, 27*s - 3*u = -174 for s. -5 Solve -3*h + 829 = -2*d + 436 + 435, 5*d - 42*h = 243 for d. 15 Solve 2*r + i - 5 = 13*i - 15*i, 40 = r + 9*i for r. -5 Solve 48 = -4*a + 2*c, -763*a + 760*a = 32*c - 31 for a. -11 Solve -2*n = -3*q - 12*q + 3*n - 1 - 49, -5*q + n = 24*q + 192 for q. -7 Solve 2*s + 225*z = 224*z - 11, -s = 5*z + 1 for s. -6 Solve 35*f + 8*m = 4*m + 992, 6*m = f + 3*m - 19 for f. 28 Solve 14*v - 3*m + 1 = 44, -7*v = m - 9 for v. 2 Solve -3366*m + 5*j = -3368*m + 4, m - 1 = -2*j for m. -3 Solve w = -3*l + 30, 9*w - 1273 = -116*l + 8*w for l. 11 Solve -22*l = -42*l + 15*l + 5*y + 5, -14*l + 2*y = -74 for l. 6 Solve -7*n - 456565 = -m + 5*n - 456860, 5*m - 3*n + 50 = 0 for m. 5 Solve -21*a + 11*a - 4*d + 6 = -8*a, 0 = -7*a - d + 11 + 10 for a. 3 Solve 0 = -2*b - 7*r + 63, -18 + 51 = b + 4*r for b. 21 Solve -1060*s + 2107*s + 4*c + 10 = 1046*s, 3*c + 11 = s for s. 2 Solve 269 = 11*j - y, 2*y = j - 6462 + 6428 for j. 24 Solve 129*t - 4*g = 122*t + 65, -4*t - 4*g - 47 = -5*t for t. 3 Solve 2*c + 1 = 4*r + 31, 58*r = -2*c + 53*r - 42 for c. -1 Solve -20*v + 28*v + 24 = 2*s + 6*v, 0 = -5*v - 45 for s. 3 Solve -1 = -n - 2*t, -5*n + 15 = -23359*t + 23364*t for n. 5 Solve -73 =
{ "pile_set_name": "DM Mathematics" }
is divided by j. 16 Let h be (56/42)/((-2)/(-27)). Let b = h + -14. What is the remainder when 14 is divided by b? 2 Let l(c) = 7*c - 20. Let h(z) = 35*z - 99. Let i(n) = -2*h(n) + 11*l(n). What is the remainder when i(4) is divided by 2? 0 Let q(i) = -19*i + 2. Let c(d) = 26*d - 849. What is the remainder when q(-4) is divided by c(33)? 6 Let q(s) = -10*s - 16. Calculate the remainder when q(-7) is divided by 14. 12 Suppose 3*a = 4*d - 6*d + 10, 0 = 2*a. Suppose -16 = -3*l + 7*l, -24 = 4*w + d*l. What is the remainder when 11 is divided by (w - -7) + 6/(-3)? 3 Suppose -4*j + 2*f + 100 = 0, -4*j = -5*j + 5*f + 16. Calculate the remainder when j is divided by 14. 12 Suppose -3*s - 2*s + 25 = 0. Suppose 0 = s*d + 62 - 2. What is the remainder when 94*(-1 - d/8) is divided by 10? 7 Suppose 4*s = -0*s. Suppose s = 5*n - 33 - 22. What is the remainder when 29 is divided by n? 7 Let s(t) = t**2 - 6*t + 5. Let k be s(6). Suppose 0 = -5*g + 5*w + 15, 0 = k*g + w + 9 + 6. Calculate the remainder when 54 - (3 - 2 - g) is divided by 26. 25 Suppose -7*j = -10*j + 24. Suppose -9*i + 6*i = -117. What is the remainder when i is divided by j? 7 Suppose 4*h + 0*h - 204 = -3*l, -4*l + 247 = -3*h. Let n(t) = t + 39. Let p be n(-13). Suppose l = 5*d - p. Calculate the remainder when d is divided by 7. 4 Let y = 6 + -17. Let f = 36 - y. Suppose 4*w - 15 = 33. What is the remainder when f is divided by w? 11 Suppose 0 = 6*l - 3*l - 777. Suppose -4*r = 189 + l. Let m = -79 - r. Calculate the remainder when m is divided by 17. 16 Let k = -339 - -1371. What is the remainder when k is divided by 23? 20 Suppose -12*s + 16*s - 23*s = -266. Suppose 5*u = w + 12 + 222, -2*u - w = -88. Let o = 9 + u. Calculate the remainder when o is divided by s. 13 Let w(i) = i**3 + 7*i**2 - 8*i + 5. Let h be w(-8). Let z be h/(-2)*(-864)/80. Suppose -a + z = -12. Calculate the remainder when 154 is divided by a. 37 Suppose 0 = 9*u + 225 - 1629. Suppose -5*i - 67 = -3*m + 50, -4*m - 4*i = -u. Calculate the remainder when m is divided by 14. 11 Let b be (2 - 24/10)*-5. Let j be (-8)/20*(-10)/b. Suppose j*f - 5 - 33 = 0. What is the remainder when f is divided by 5? 4 Let x be 2/(-5)*-5*16. Let s = -5 + x. Suppose o - 2*o = -15. What is the remainder when s is divided by o? 12 Let c be (15/4)/((-1)/(-20)) - -3. Let l = c + -64. Calculate the remainder when l is divided by 8. 6 Let h be (6 - (-260)/(-45)) + (-4)/18. Suppose h = -2*w + 8, -2*u - 4*w + 100 = u. What is the remainder when 166 is divided by u? 26 Suppose -23 = -41*y + 510. Suppose -2*m + f = -70, -5*m + 5*f + 135 + 40 = 0. Let r = 60 - m. Calculate the remainder when r is divided by y. 12 Suppose 820*d + 117 = 829*d. What is the remainder when 467 is divided by d? 12 Let t = 12 - 2. Calculate the remainder when 475/10*8/10 is divided by t. 8 Let n(q) = -q**2 - 14*q - 7. Let h be n(-7). What is the remainder when 26 is divided by h/4*4/6? 5 Let w = 10 + -6. Suppose 2*b - w*q = 40, -2*b - b = 2*q - 52. Let n = 0 + b. What is the remainder when 52 is divided by n? 16 Let y(a) = -5*a + 53. Let k be y(10). Suppose 3*l = 4*n - 80, -n = k*n + l - 96. Suppose 264 = 5*m - 181. What is the remainder when m is divided by n? 20 Let k(v) = -v**3 + 12*v**2 + v. Suppose x - 5*w + 17 = 0, 5*w = -3 + 28. Let c be (-270)/(-24) + 6/x. What is the remainder when k(c) is divided by 5? 2 Suppose -2884 = -16*w + 1132. What is the remainder when w is divided by 134? 117 Suppose 264 = 10*s - 6*s. Let w(a) = a**2 + 3*a - 5. Let v be w(-5). Suppose -v*j + 4*j = -18. What is the remainder when s is divided by j? 12 Suppose -3*v = 2*u - 73, 0*v + 5*u = 2*v - 36. Let i = 105 - v. Calculate the remainder when i is divided by 28. 26 Let h(b) = b**3 + b**2 - 7. What is the remainder when 82 is divided by h(3)? 24 Let t(f) = -7 - 1 - 9 - 3*f + 4 + f**2. Let d be t(9). Suppose -3*o + 16 = -d. Calculate the remainder when o is divided by 11. 8 Let f(d) = -33*d**3 + 3*d**2 + 2*d. Suppose p = -5*m + 118 - 13, 4*p - 5*m = 395. What is the remainder when p is divided by f(-1)? 32 Let u = -46 - -41. Let x(b) be the third derivative of b**5/60 + b**4/24 + b**3/2 + 2*b**2. Calculate the remainder when x(u) is divided by 8. 7 Let k(q) = -q**3 + 3*q**2 + 29*q - 17. Calculate the remainder when 311 is divided by k(5). 77 Let w be (2 - 1 - 2)*-2. Suppose w*k + 0*k = 26. Suppose -o + 49 = -x, -o + 4*x + 39 = -13. Calculate the remainder when o is divided by k. 9 Let o = 9 - 15. Let q be (-4)/5*(-30)/(-12). Let r = q - o. Calculate the remainder when 6 is divided by r. 2 Let x(i) = i**2 + 15*i + 63. Let q(p) = 208*p**2 + p - 1. What is the remainder when q(-1) is divided by x(-11)? 16 Suppose 0 = -68*z + 79*z - 154. What is the remainder when 737 is divided by z? 9 Let s(j) = -j**3 - 4*j**2 + 23*j + 22. Calculate the remainder when s(-10) is divided by 66. 62 Suppose -3*y = -3, -5*n - y + 243 = 87. Calculate the remainder when (-4)/(-9) - (-46560)/216 is divided by n. 30 Let k be -85*1 - (-1)/1. Calculate the remainder when k/(-2) - (4 - 11 - -4) is divided by 8. 5 Suppose -3*w = -2*t + 10, -3*t + 15 = -2*w + 3*w. Suppose 61 = -t*m - 89. Calculate the remainder when -30*3/(m/4) is divided by 5. 2 Suppose 8*y - 16 - 8 = 0. Calculate the remainder when 114 is divided by (348/y)/4*1. 27 Let w = -180 + 409. What is the remainder when w is divided by 11? 9 Let c = 60 - 43. Let o = 243 - 193. Calculate the remainder when o is divided by c. 16 Let i = -139 - -149. What is the remainder when i is divided by 2? 0 Suppose 0 = 14*k - 18*k + 68. Suppose k*f = 22*f - 105. Suppose 2*p - 8 = 8. Calculate the remainder when f is divided by p. 5 Let b = 21 - -12. Let z = b + -8. Calculate the remainder when z is divided by 13. 12 Suppose -6*i - 5*i + 3212 = 0. Suppose -9*u + i = -5*u. Calculate the remainder when u is divided by 16. 9 Let p(h) = 8*h + 106. Let q = 8 - 4. Calculate the remainder when p(-11) is divided by q. 2 Calculate the remainder when 20 is divided by 1*-2 - (12 + -24). 0 Let z(f) = f**2 + 12*f + 36. Calculate the remainder when z(-10) is divided by 4/10 - 96/(-10). 6 Let s(l) = l - 1. Let k be (6/8)/(15/60). Let f be s(k). Let m = 17 - f. What is the remainder when 28 is divided by m? 13 Let b = -26 + 84. Let m = -21 + b. What is the remainder when m is divided by 1/1 + (2 - -7)? 7 Let l = -70 - -70. Suppose l = -16*m + 8 + 392. What is the remainder when 147 is divided by m? 22 Let y(f) = -7*f - 13. What is the remainder when 104 is divided by y(-4)? 14 Suppose 551 = 16*b - 137. Let i = 20 + -11. What is the remainder when b is divided by i? 7 Let c = 13 - 2. Let m be -1 - (-35 - -2) - 4. Let a = 48 - m. What is the remainder when a is divided by c? 9 Let s = -809 - -838. Calculate the remainder when 112 is divided by s. 25 Suppose 0 = 2*k - 8, a - 6*a - 16 = -4*k. Suppose 4 = 2*c, -4*c + 22 = -a*l + l. What is the remainder when 38 is divided by l? 10 Suppose -13*t + 10 = -3. Let o(w) = 15*w**2 + 3*w - 2. Calculate the remainder when o(t) is divided by 9. 7 Suppose 4*n + 3*l = 566, 13*n - 5*l - 690 = 8*n. Calculate the remainder when n is divided by 16. 12 Let l = 46 - 51. What is the remainder when 37 is divided by ((-65)/(-3))/l*-3? 11 Suppose -61*v + 4516 = -18786. What is the remainder when v is divided by 55? 52 Suppose 6 + 8 = x + 2*g, 35 = 3*x - g. What is the remainder when 213 is divided by x? 9 Let n be 2/4 + (-90)/(-20). Suppose 5*y - y + n*t - 659 = 0, 12 = 4*t. What is the remainder when y/6 - 3/(-18) is divided by 14? 13 Let b(a) = -a**3 - 41*a**2 - 4*a - 84. Calculate the remainder when b(-41) is divided by 4. 0 Suppose 3*r = 5*r - 10. Suppose -r*z = -5*i - 15, -6 - 9 = -5*z. Let n(y) = -y**2 + 36. What is the remainder when n(i) is divided by 13? 10 Let g(j) = j**3 + 9*j**2 + 5*j - 17. Calculate the remainder when 157 is divided by g(-8). 3 Let a = -86 - -90. Suppose 3*r - 4*y = 119, -y + a = 3*y. What is the remainder when r is divided by 15? 11 Let o(s) = -10*s + 3. Let u be o(1). What is the remainder when 69 is divided by 10/u*(14 - 21)? 9 Let s = 207 + -168. Calculate the remainder when s is divided by 5. 4 Suppose 0 = 2*k - 5 - 1. Suppose -k*y + 4*y - 37 = -i, -y + 4*i + 47 = 0. Calculate the remainder when y is divided by 21. 18 Let i(u) = u**
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {m: 6, q: 3, u: 1, v: 2, c: 2, o: 4}. Give prob of sequence omq. 1/68 Two letters picked without replacement from mmumwuqm. What is prob of sequence mq? 1/14 Two letters picked without replacement from laklqrar. What is prob of sequence rk? 1/28 Calculate prob of sequence gg when two letters picked without replacement from bbgbaaagbaaba. 1/78 Two letters picked without replacement from {s: 1, z: 1, m: 1, c: 1, i: 1}. What is prob of sequence cs? 1/20 Three letters picked without replacement from opwbmwuo. Give prob of sequence uwb. 1/168 What is prob of sequence lorb when four letters picked without replacement from brebelrbbrreeeo? 2/4095 Three letters picked without replacement from kkkkxjitdkk. What is prob of sequence ijd? 1/990 Calculate prob of sequence bow when three letters picked without replacement from rowbp. 1/60 Two letters picked without replacement from mcmccdccmccmcc. What is prob of sequence cd? 9/182 Calculate prob of sequence dgdd when four letters picked without replacement from ggggggdgdd. 1/120 Four letters picked without replacement from yerieck. What is prob of sequence eikc? 1/420 What is prob of sequence uu when two letters picked without replacement from ullulu? 1/5 Three letters picked without replacement from zklkakzk. Give prob of sequence akk. 1/28 Calculate prob of sequence kpsk when four letters picked without replacement from dsdpnknnnnkssxn. 1/5460 Calculate prob of sequence rrp when three letters picked without replacement from rrprpr. 1/5 Calculate prob of sequence fppf when four letters picked without replacement from ffpffpfff. 1/36 Three letters picked without replacement from nnnnunnnunnnne. Give prob of sequence nuu. 11/1092 Three letters picked without replacement from iippippiiippiihiiii. Give prob of sequence ppp. 20/969 What is prob of sequence axe when three letters picked without replacement from {x: 2, e: 1, a: 1, i: 1}? 1/30 Two letters picked without replacement from {u: 1, c: 2, e: 1, g: 2, r: 2, k: 1}. Give prob of sequence ue. 1/72 Four letters picked without replacement from {l: 3, o: 13}. Give prob of sequence oooo. 11/28 Calculate prob of sequence cllc when four letters picked without replacement from {l: 4, c: 2}. 1/15 Three letters picked without replacement from ollollloolooo. Give prob of sequence lol. 35/286 Four letters picked without replacement from {u: 2, s: 2, p: 1, y: 1}. Give prob of sequence uysu. 1/90 Two letters picked without replacement from {r: 2, c: 10}. What is prob of sequence cr? 5/33 Four letters picked without replacement from {k: 3, t: 4, l: 7}. What is prob of sequence tttk? 3/1001 What is prob of sequence iio when three letters picked without replacement from {i: 2, o: 10}? 1/66 What is prob of sequence eefe when four letters picked without replacement from iifeieiiifeee? 1/143 Two letters picked without replacement from {x: 3, h: 11}. Give prob of sequence xx. 3/91 Three letters picked without replacement from {p: 3, g: 1, a: 2, c: 1}. Give prob of sequence ppc. 1/35 Calculate prob of sequence qqq when three letters picked without replacement from {j: 3, q: 9}. 21/55 Two letters picked without replacement from {a: 1, h: 1, s: 1, q: 1, k: 2, c: 1}. What is prob of sequence ck? 1/21 Three letters picked without replacement from {m: 1, l: 5, a: 1, r: 2}. Give prob of sequence mla. 5/504 Calculate prob of sequence cc when two letters picked without replacement from {c: 2, p: 1}. 1/3 Three letters picked without replacement from eeii. Give prob of sequence eii. 1/6 Two letters picked without replacement from {n: 2, e: 6}. What is prob of sequence ee? 15/28 Three letters picked without replacement from rdyulrf. What is prob of sequence ufy? 1/210 What is prob of sequence vl when two letters picked without replacement from vllvllv? 2/7 Calculate prob of sequence pop when three letters picked without replacement from opp. 1/3 Calculate prob of sequence ob when two letters picked without replacement from {g: 1, a: 4, o: 1, b: 5}. 1/22 Calculate prob of sequence mnni when four letters picked without replacement from {f: 3, n: 6, m: 2, i: 1}. 1/198 What is prob of sequence dz when two letters picked without replacement from zvzzzzdddvzdzzzdddv? 7/38 What is prob of sequence cpb when three letters picked without replacement from {c: 2, b: 1, p: 2, s: 1}? 1/30 Two letters picked without replacement from zoccazduuuc. What is prob of sequence ca? 3/110 What is prob of sequence mqc when three letters picked without replacement from {p: 5, i: 2, c: 2, q: 4, m: 1}? 1/273 Three letters picked without replacement from fjjjijiffijfii. What is prob of sequence ifi? 10/273 Calculate prob of sequence qe when two letters picked without replacement from {t: 2, q: 1, e: 3, r: 1}. 1/14 Three letters picked without replacement from zftwfdz. What is prob of sequence fzz? 2/105 Calculate prob of sequence zc when two letters picked without replacement from {c: 9, z: 1, y: 1, g: 5}. 3/80 Calculate prob of sequence qeue when four letters picked without replacement from uqqqqmqemmmquqmeq. 1/1785 Calculate prob of sequence ii when two letters picked without replacement from {i: 5, j: 1, c: 5}. 2/11 What is prob of sequence add when three letters picked without replacement from {k: 2, a: 1, b: 4, d: 3, f: 2, i: 6}? 1/816 Three letters picked without replacement from {z: 2, w: 1, l: 2, f: 2, g: 4, d: 4}. Give prob of sequence ddg. 8/455 Three letters picked without replacement from {g: 4, b: 7}. Give prob of sequence ggb. 14/165 What is prob of sequence tuc when three letters picked without replacement from {u: 1, a: 1, t: 5, d: 1, g: 2, c: 6}? 1/112 What is prob of sequence ovw when three letters picked without replacement from {w: 1, o: 1, v: 1, g: 1, y: 2, h: 1}? 1/210 Four letters picked without replacement from mjjjjjjmjmjjmjjmjjjj. What is prob of sequence jmjj? 455/3876 What is prob of sequence ii when two letters picked without replacement from yyysyiykkyiki? 1/26 What is prob of sequence uq when two letters picked without replacement from aaaiiqaeaeyuyq? 1/91 Three letters picked without replacement from uukpsuuuu. Give prob of sequence pkk. 0 What is prob of sequence pw when two letters picked without replacement from bdpbw? 1/20 Three letters picked without replacement from {o: 4, l: 2, w: 2, n: 1, c: 8, f: 3}. Give prob of sequence fll. 1/1140 Three letters picked without replacement from {w: 2, a: 1, i: 4, r: 1, e: 1}. Give prob of sequence www. 0 Calculate prob of sequence xm when two letters picked without replacement from xxmxmm. 3/10 Three letters picked without replacement from dxldllltjjd. What is prob of sequence llj? 4/165 Two letters picked without replacement from iyiriyfyiiyrwyyify. What is prob of sequence ri? 2/51 What is prob of sequence jm when two letters picked without replacement from fimflijliisf? 1/132 Two letters picked without replacement from {h: 1, t: 1, s: 2}. Give prob of sequence ts. 1/6 Four letters picked without replacement from {o: 10, c: 6, w: 1}. Give prob of sequence wccc. 1/476 Four letters picked without replacement from lrwljwjojjfjf. Give prob of sequence fojl. 1/858 What is prob of sequence twlw when four letters picked without replacement from {l: 5, w: 1, h: 1, t: 2}? 0 Two letters picked without replacement from ijkmkmkukimw. What is prob of sequence iu? 1/66 What is prob of sequence jjvf when four letters picked without replacement from {v: 1, j: 1, f: 1, r: 1, x: 1}? 0 What is prob of sequence uqr when three letters picked without replacement from bbqrbbvbbrvvvbvubvbb? 1/3420 Four letters picked without replacement from {y: 2, v: 4, z: 1, g: 2}. Give prob of sequence yyzv. 1/378 Three letters picked without replacement from {t: 2, d: 2, c: 2, k: 6, h: 3, g: 2}. What is prob of sequence gtk? 1/170 Two letters picked without replacement from {q: 3, w: 9}. What is prob of sequence qw? 9/44 Two letters picked without replacement from gggxngggkxnv. What is prob of sequence xx? 1/66 Two letters picked without replacement from {t: 1, s: 3, n: 3, y: 4}. Give prob of sequence ys. 6/55 What is prob of sequence bw when two letters picked without replacement from wsphbyyw? 1/28 Two letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
808)) and u? 54 Let n = 2424263 - 24181767/10. Let x = 6081 - n. Let o = -236/7 - -638/21. Find the common denominator of x and o. 30 Let i(t) = -t**3 - 3*t**2 + 2. Let n be i(-3). Let h be (3*n/6)/((-3)/(-18)). What is the common denominator of 145/18 and 2/(h - 12) - (-674)/60? 90 Let q = 49 + -8. Suppose 92*u - 192 = 60*u. Calculate the least common multiple of u and q. 246 Let k(p) = p**3 - 73*p**2 + 284*p - 5155. Suppose 0*l + 5*l = 600. Calculate the least common multiple of l and k(70). 600 Let v = 23248 - 232407/10. What is the common denominator of v and 63/4460? 4460 Suppose -3*i = -l + 70, -2*l + 5*l = i + 34. Find the common denominator of -41/6 and i + 21 - (506/(-648))/1. 324 Let v be (1895/(-250))/(0 - -107). Let h = -14/107 - v. Find the common denominator of 21/5 and h. 50 Let k = 9 - 3. Suppose 0 = -13*q + 44 + 814. Let i = 108 - q. What is the smallest common multiple of k and i? 42 Let k(x) = 19*x**3 - 18*x**2 + 47*x - 261. What is the lowest common multiple of k(6) and 27? 31293 Let x(b) be the first derivative of 17*b**4/4 + b**3 - 5*b**2 + 2*b - 4. Let m be x(-9). Let v = 241241/20 + m. Calculate the common denominator of 41/12 and v. 60 Find the common denominator of -3/32 and (-1)/((-35)/(-693))*(-1)/(-672)*7. 160 Let h = -577 + 10381/18. Let w = -154823/18 + 8600. Find the common denominator of w and h. 18 Let q = -1/8036 + 466143/441980. Calculate the common denominator of -58/2055 and q. 22605 Let d = 8 + -5. Suppose -81 = -4*p - 3*h, 280*p - 281*p + 49 = -5*h. What is the least common multiple of d and p? 24 Suppose -164 + 252 = 8*d. Suppose 4*w + 5*j = 58, 0 + 40 = 3*w + 2*j. Suppose -g + s = 2*g - 8, w = 5*g - 3*s. Calculate the lowest common multiple of g and d. 33 Calculate the common denominator of 20/150 + (-4913)/2040 and -3/104. 520 Suppose 0 = -9*j + 246 + 24. Let t(h) = -5*h**2 + 4*h - 2. Let d be t(3). Let m = d + 50. Calculate the least common multiple of j and m. 30 Let q = -161593971/14495 - -17639/2230. Let c = q + 11142. What is the common denominator of -83/12 and c? 156 What is the least common multiple of (-9)/21 + (-45414)/(-126) and 108? 1080 Let o = 4 - -16. Suppose 0 = 5*z - 35 + o. Suppose -3*g = -z*m + 9, -1 + 8 = 2*m - g. What is the lowest common multiple of 16 and m? 16 Let c = 339181 + -246245339/726. Calculate the common denominator of -5/54 and c. 6534 Let c = -15094 - -15174. What is the smallest common multiple of 760 and c? 1520 Let b = 13395 + -13373. Find the common denominator of 7/22 and b. 22 Let v = -177593617/455 - -390317. Let y = -14/65 + v. What is the common denominator of 44/3 and y? 21 Let l = -166193524/117 + 1420482. Let m = 66317/1872 - l. Let g = 61/16 - m. Find the common denominator of g and -49/16. 48 Let d be (5/((-15)/(-14451)))/(-3 + 31). Let j = 172 - d. Let z = 16150/999 + 1/1998. What is the common denominator of j and z? 84 Let f be (-9)/(-2) - (-15)/10. Suppose -14 = -2*p + f. Calculate the lowest common multiple of p/75*3 + 166/10 and 9. 153 Let n = 14183/85232 + 84/761. Find the common denominator of n and -29/196. 784 Let r(b) = -b - 3. Calculate the common denominator of r(0) and 2/(-6)*(-9540)/1166. 11 What is the common denominator of -103/130 and (-2)/10 - (-8 + (-156237)/(-19760))? 1040 Suppose 6 = 6*l - 3*l, l - 32 = -3*r. Suppose -h + 7*k - 10 = 4*k, -r = 5*h - 5*k. Calculate the smallest common multiple of h and 11 + 2/(-2 + 0). 10 Suppose 2*o = -4*o + 1512. Calculate the common denominator of 151/42 and (-741)/o + 11/44. 42 Suppose 0 = 3*a + 15, -3*a - 224 = 4*m + 23. Calculate the common denominator of 4/36*(-7905)/(-62) and (m/(-80))/(24/32). 30 Let m(z) = -4*z - 45. Let h(w) = w**2 - 15*w + 13. Let l(u) = 2*u + 1. Let f be l(6). Let q be h(f). Calculate the lowest common multiple of m(q) and 21. 21 Let i = -25654223/390 + 65780. Find the common denominator of i and -7/78. 390 Let l(p) = -4*p - 26. Let y(v) = -2*v - 16. What is the lowest common multiple of l(-12) and y(-19)? 22 Let q(g) = 826*g + 88. Let a be q(-28). Find the common denominator of -23/11 and 22220/a - 2/(-9). 1408 Suppose 3*f - 206 = 490. Suppose 5*j - f - 3 = -v, -v - 5 = 0. Calculate the least common multiple of 64 and j. 192 Let p be (10/(-4))/1*-34. Calculate the common denominator of p/(-135) + 2/1 and (-2 - 285/(-144))/(-27 + (-3729)/(-138)). 216 Let b = -1/22784 - 253469/68352. Calculate the common denominator of -49/1212 and b. 2424 Let r = -1739/10 + 662/5. What is the common denominator of r and 351/21*(-5)/30? 14 Suppose 14 = a - 2*f - 6, -76 = -3*a - 2*f. Calculate the smallest common multiple of a and 1072. 3216 Let x = 3/104 + 83/52. Find the common denominator of 41/2532 and x. 5064 What is the lowest common multiple of 150 and 447/21 + 5 + 296/(-56)? 1050 Let w = 4201/2944 + -122/69. Find the common denominator of w and 65/6. 384 Let m = -48689/130 + 4722/13. Calculate the common denominator of m and 1/(-3)*-4*15/(-24). 30 Suppose 5*u = 5*c - 29 + 9, -u - 4 = 0. Suppose c = g + 3*y - 32, 5*g - 114 = 2*y - 22. Calculate the lowest common multiple of g and 11. 220 Suppose 11*o = 8*o. Suppose o = 2*j - 9 - 5. Suppose -j*u + 40 = -3*u. Calculate the smallest common multiple of 1 and u. 10 Let u be (-21 + -1)*68/(119/7). Let w = -103 - -200. Let d = w + u. What is the least common multiple of 1 and d? 9 Suppose g = -2*s - 13500, -4*s = -5*g + 10281 + 16705. Let b = -242885/36 - s. What is the common denominator of 22/3 and b? 36 Let t = 2319 + -3315. Let s = t - -36862/37. Calculate the common denominator of s and (-2)/(-4) + (-48)/(-1). 74 Let i be (-6)/24*-2*(-3 - -3). Suppose i = -22*n + 4*n + 144. Calculate the least common multiple of n and 220. 440 Calculate the common denominator of -131/318 and 11 - 21 - (-500)/24. 318 Let n = -784 + 802. Let m = 13 - 10. Calculate the smallest common multiple of n and m. 18 Let t = 8237 + -288258/35. Find the common denominator of t and 27/196. 980 Suppose -55 = -3*z - 43. Suppose -5*k + 5*r = -0*k - 510, -3*k - z*r = -306. Let w = k + -98. Calculate the smallest common multiple of 83 and w. 332 Let u = 175577/12 - 14621. Calculate the common denominator of u and (2 - 0) + (-31)/(-14). 84 Let f = 267 + -271. Calculate the common denominator of 40/27 and (-5)/((-10)/f) - (-260)/(-48). 108 Suppose 12 = -38*r + 36*r. Let h = 195439/22 - 8879. What is the common denominator of ((-3)/9 - -1)*r/(-5) and h? 110 What is the common denominator of ((-10)/6060)/(-1 + (1194/585 - 1)) and 39/8? 1616 Let x be (-9)/(-6)*8/6. Let r be (4/8)/((-4)/1656) + 6. Calculate the common denominator of 59/28 and 5/(660/r) + x. 308 Let y be 35/280 - 233/8. Calculate the lowest common multiple of (3*-5)/(-30 - y) and 18. 90 Let m = -454 + 688. Let d = m + -386. What is the common denominator of (-3 + d/(-84))*1 and 95/18? 126 Suppose 267 = 6*k + 3*f, -k - 117*f + 114*f + 47 = 0. Calculate the least common multiple of k and 440. 440 Let n be 3/90*6621620/(-24). Let v = -9196 - n. What is the common denominator of v and ((-172)/48)/(6 + -11 + 3)? 72 Let d = 23074 + -22434. Calculate the least common multiple of d and 440. 7040 Let k = -17/2 + 81/20. Find the common denominator of k and (-4)/(-10) - 2/20. 20 Let j = -1021651/242760 - -3/20230. Find the common denominator of j and -77/4192. 12576 Suppose 167 = 33*l - 31. What is the smallest common multiple of 336 and l? 336 Suppose -2*k + 3*p + 2023 = 88, 0 = 2*k - p - 1925. Suppose 18*v - k = 6*v. Calculate the smallest common multiple of 88 and v. 880 Calculate the common denominator of (15267/16380 - -1) + -2 and -11/234. 2340 Let t = -4527 - -4531. Calculate the lowest common multiple of t and 60. 60 Let p(a) = 8*a**2 - 54*a + 2552. Calculate the least common multiple of 12 and p(51). 123636 Suppose -457 = -2*z + 653. Suppose -7*o + 163 - z = 0. Let p = o + 60. Calculate the least common multiple of 30 and p. 60 Let v be (-864)/180*50/4. Suppose 2*b + 3 = -27. Let t = b - v. Calculate the lowest common multiple of t and 9. 45 Suppose 5*s - 10 = -5*r - 80, 5*r + 70 = -2*s. Let j be (-16)/24*(r/4 + -1). Suppose 44 = -j*f + 5*f. What is the least common multiple of f and 14? 154 Find the common denominator of 2 + (2 - 19/(-18)) and (14/133)/((-624)/(-1328) + 3/(-3)). 3762 Let v = 3913 - 3867. C
{ "pile_set_name": "DM Mathematics" }
-8))/((-5)/10). -7 What is the value of (-20)/(-4)*(-6)/(-225)*5? 2/3 What is (((-252)/35)/(-6))/(9/(-30))? -4 What is the value of ((-4)/(-24)*6)/((-1)/1)? -1 What is the value of (-28)/(-21)*(-12)/(-8)? 2 Evaluate (8/(-5))/((-6)/15). 4 Calculate (3/3)/1*(-8)/8. -1 Calculate (25/50)/((-1)/20). -10 Evaluate (-2)/(-2)*-3*(-276)/3036. 3/11 Evaluate (18/135)/((-6)/10)*-6. 4/3 (12/10)/((-12)/(-30)) 3 What is -2*10/260*-2? 2/13 What is (5/((-45)/2))/((-58)/522)? 2 What is the value of 2/(-4)*0/((-30)/6)? 0 Calculate 14/154*11/2. 1/2 Evaluate ((-1)/(-3))/(((-34)/(-17))/(-2)). -1/3 Evaluate 9*1/6*-2. -3 36/(-30)*(-5)/(-13) -6/13 Evaluate (362/1448)/((-2)/6*-1). 3/4 What is (-10)/(-3)*(162/(-15))/9? -4 Evaluate ((-2)/(-12))/((-30)/1125*5). -5/4 What is the value of (-1)/2*(72/(-8))/(-18)? -1/4 What is the value of ((-6)/4)/((-2)/2*3)? 1/2 What is the value of 0/((-8)/((-4)/2*1))? 0 (-2)/12*1/(7/(-14)) 1/3 -24*2/8*(-2)/78 2/13 ((3/1)/1)/(111/(-74)) -2 What is the value of (-1)/(-4)*(-5)/(5/(-5))? 5/4 What is 108/75*125/150? 6/5 What is the value of ((-6)/20)/1*(-380)/285? 2/5 Evaluate (2/3)/(12*(-5)/(-90)). 1 Calculate (8/(-130))/(10/(-25)). 2/13 What is ((-4)/(-14))/((-2)/(-7)*2)? 1/2 (15/5*2)/3 2 (-80)/60*1/(1/(-3)) 4 Calculate 5/(((-48)/(-6))/(-8)). -5 Calculate 90/30*10/6. 5 Evaluate -5*84/(-240)*4. 7 Calculate 3/((-9)/5)*90/(-50). 3 217/310*4/21 2/15 What is (-12)/(-90)*12/(-12)? -2/15 What is the value of ((-2)/2)/((-11)/(-44))? -4 What is the value of 4*(2/(-2))/12*-2? 2/3 Calculate (-2)/(11/((-198)/84)). 3/7 What is the value of 1/28*-4*-1? 1/7 What is (-2)/((-6)/((165/(-10))/(-11)))? 1/2 What is -4*4*2/8? -4 What is 1/((-15)/((-5)/(-1)))? -1/3 What is (0/1)/(-5*(-3)/15)? 0 What is the value of 420/300*(-2)/7? -2/5 Evaluate ((-10)/15*3)/((-2)/4). 4 0/(3/(-2)*44/(-66)) 0 What is the value of (6/2)/(18/(-24))? -4 Calculate ((-12)/45)/(15/(375/10)). -2/3 Calculate (-1)/5*(-19)/((-114)/4). -2/15 Evaluate (-77)/(-42)*(-8)/(-22). 2/3 (1*6/8)/((-411)/(-685)) 5/4 Calculate -2*(-2)/18*186/(-31). -4/3 (1/1)/(24/(-396)*-11) 3/2 Calculate (2/(-6))/((9/(-3))/(-3)). -1/3 What is the value of (-522)/87*2*(-2)/(-8)? -3 Evaluate ((-6)/(-6))/(-4)*1. -1/4 -3*(-3)/18*8 4 What is 4/(-3)*(-30)/40? 1 What is the value of (9*(-5)/(-15))/(-1)? -3 Evaluate (6/(-14))/(15/240*16). -3/7 Calculate 9/72*(-5)/((-10)/(-4)). -1/4 Evaluate (-5)/(((-1)/(-3))/((-14)/35)). 6 Calculate (10/(-140))/(4/(-14)). 1/4 What is the value of 7*((-144)/(-21))/(-8)? -6 Evaluate ((-7)/(63/(-24)))/((-4)/(-6)). 4 What is the value of 14/(-1)*(28/(-7))/8? 7 What is the value of (16/28)/(45/(-63))? -4/5 ((-8)/7)/(4/84*-6) 4 What is 1*(-6)/84*2*1? -1/7 Evaluate -6*4/16*2. -3 Evaluate (-3)/(-63)*9*(-2)/2. -3/7 What is the value of 1*(-10)/(-28)*116/(-435)? -2/21 Evaluate -6*((-24)/8)/99. 2/11 What is (((-49)/28)/(-7))/((-10)/(-16))? 2/5 Evaluate -18*39/(-156)*8/9. 4 What is 2/6*-9*(-12)/(-90)? -2/5 Evaluate (3/(-6))/(8*12/(-72)). 3/8 Calculate 12/27*(-9)/(-2). 2 What is -2*-1*(-2)/(-1)? 4 Evaluate ((-1100)/(-825))/(4/21). 7 Calculate (-32)/6*12/144. -4/9 What is (-22)/22*1*2/(-2)? 1 What is (-13)/(-130)*1*10? 1 (4/(-22))/((-102)/374) 2/3 Evaluate (-5*24/(-30))/((-22)/(-1)). 2/11 Calculate 0/(-20)*-2*1/4. 0 (3/(-2))/(40/80) -3 What is ((-210)/455)/(((-4)/(-26))/(-2))? 6 What is (-12)/22*(-11)/33? 2/11 Evaluate (-24)/(-20)*30/9. 4 What is (((-18)/54)/1)/(4/6)? -1/2 What is -2*((-1)/(-7)*2)/2? -2/7 252/140*10/21 6/7 What is the value of 8*(-7)/(84/9)? -6 203/(-58)*2/(168/9) -3/8 What is the value of (4/12)/(4/72*-1)? -6 Calculate (((-25)/(-15))/(-5))/((-12)/9). 1/4 Evaluate 12/30*2/((-16)/12). -3/5 Evaluate 56/(-12)*(-16)/336. 2/9 Calculate 12/(-21)*-3*(-14)/(-12). 2 What is 3*2*95/(-2850)? -1/5 ((-16)/6)/(-4)*(-9)/(-4) 3/2 Calculate 2/(4/10)*16/16. 5 Calculate ((-24)/18)/(4/6). -2 What is the value of (70/12)/7*(-16)/40? -1/3 What is the value of ((-96)/80)/(4/(-10))? 3 Evaluate 2/20*6*2/6. 1/5 What is ((-6)/24*10)/((-35)/(-84))? -6 Calculate 25/(20/4)*4/(-70). -2/7 Evaluate (-1)/(((-13)/52)/((-1)/(-2))). 2 What is the value of (-2)/(-3)*(-3)/14? -1/7 Evaluate ((-2)/22*-1)/((-1)/(-2)). 2/11 Evaluate 4/5*35/(-14). -2 Evaluate (2/6)/(4/(-24)). -2 What is (3/9)/(4/(-24))? -2 What is ((-2)/(-4))/(2/(-16))? -4 (15/225)/(4/48) 4/5 Evaluate (76/399)/((-4)/(-2)). 2/21 What is the value of 4*(-4)/(-16)*-3? -3 What is 5/(-150)*-4*3? 2/5 Evaluate ((45/(-12))/3)/(10/(-12)). 3/2 (-3)/9*0*(-39)/(-78) 0 What is (1/1)/(((-112)/126)/8)? -9 Calculate ((-3)/(-6))/((-18)/(-27)). 3/4 What is the value of ((-10)/(-5))/(70/20)? 4/7 Evaluate (9/9)/(2/4). 2 Evaluate ((-4)/14)/((-36)/84). 2/3 Calculate (-28)/40*(-4)/28. 1/10 Calculate (-1)/(-20)*-2*75/30. -1/4 What is the value of (3/(36/(-24)))/4? -1/2 What is the value of (-6)/(-1)*32/320? 3/5 What is (76/(-152))/(((-12)/10)/(-3))? -5/4 Calculate ((-27)/(-81))/(34/(-12)). -2/17 (16/(-40))/(4/(-10)) 1 (6/34)/((-62)/(-527)) 3/2 Evaluate (5/((-475)/(-171)))/((-3)/(-10)). 6 What is 4/9*99/110? 2/5 Evaluate 2/(-3)*2/12*-2. 2/9 What is 7/14*(-11)/(44/(-40))? 5 Evaluate (((-3)/2)/(-3))/((-10)/(-60)). 3 What is 25/375*5*2? 2/3 Calculate ((-4)/(-3))/(-22*32/(-1584)). 3 What is ((-34)/119)/(1/((-15)/(-10)))? -3/7 What is the value of ((-1)/2)/(-1*(-5)/(-4))? 2/5 What is (5*(-16)/(-40))/((-3)/2)? -4/3 What is the value of (-1)/(-1)*44/(264/12)? 2 What is the value of (53/106)/((-2)/(-20))? 5 What is the value of (-1)/((-81)/(-6)*8/(-12))? 1/9 What is the value of ((-10)/(-6))/(130/65)? 5/6 (7/(-14))/(1/2*-7) 1/7 Evaluate ((-33)/33)/((-1)/(-6)). -6 Calculate -5*1/1*6/6. -5 Calculate (-2*(-12)/(-112))/((-6)/(-8)). -2/7 Calculate 5/5*8/(-4). -2 Calculate (3/(-12)*-6)/(5/(-10)). -3 Calculate ((-2)/(-8))/(324/864). 2/3 What is (-2*4/12)/((-6)/(-27))? -3 Calculate 4*((-6)/(-9)*-1)/4. -2/3 What is 21/(-14)*8/(-3)? 4 Evaluate 10/(-12)*1*96/360. -2/9 2*3/(-18)*-9 3 Calculate 2/(24/9)*100/15. 5 What is ((-2)/(-8))/((-22)/(-3168)*-8)? -9/2 Evaluate 8/((-448)/(-189))*(-52)/39. -9/2 What is the value of (-21)/6*4/14*2? -2 ((-6)/27)/(24/27) -1/4 ((-8)/18*1)/((-130)/(-585)) -2 What is the value of (17/255*6)/(24/(-10))? -1/6 What is (6/4)/((-148)/296)? -3 ((-14)/28)/((-1)/(-2)) -1 What is the value of 5*(-4)/4*-1? 5 What is the value of (-6*(-2)/30)/(4/25)? 5/2 What is the value of ((2/(-5))/(36/(-90)))/(-12)? -1/12 What is 1/3*(0/7)/(-6)? 0 (54/(-189))/((-2)/35) 5 What is ((-15)/(-10))/((20/(-4))/10)? -3 Calculate (((-12)/9)/(-1))/(20/6). 2/5 What is the value of 3*((-3)/(-12))/((-2)/(-4))? 3/2 What is the value of 10/(-6)*((-286)/(-55))/13? -2/3 Evaluate -1*(-1)/(5/(-20)). -4 (-4)/3*60/200*15 -6 What is the value of -11*4/(-1188)*(-6)/(-1)? 2/9 Evaluate 4/8*20/(-5). -2 What is the value of 2*6*(-5)/15? -4 What is the value of (10/6*(-54)/(-120))/3? 1/4 What is the value of (-4)/(-2)*90/(-36)? -5 ((-1)/1)/((-10)/50) 5 Calculate (-52)/(-182)*28/2. 4 What is (9/132*8)/((-3)/(-1))? 2/11 What is the value of (20/(1*-4))/((-3)/3)? 5 What is the value of (-64)/(-20)*(-175)/(-490)? 8/7 (0/(-1))/((-6)/3) 0 Calculate (6/(-9))/(2/(-30)*2). 5 ((-3)/15)/((-30)/(-75)) -1/2 Evaluate (-4*(-7)/(-84))/((-7)/(-6)). -2/7 What is the value of 14*(-8)/(-308)*(-22)/(-4)? 2 What is (-2)/(-6)*-4*6/(-8)? 1 Calculate (6/9)/((-1)/(-3)). 2 (1/((-60)/(-24)))/(4/(-5)) -1/2 (3*(-1)/15)/((-16)/20) 1/4 What is the value of (-4)/18*(-54)/(18/3)? 2 Evaluate (-35)/14*4/(-2). 5 What is (-6)/(-15)*40/(-16)*3? -3 (-1)/(-3)*(-36)/(-12) 1 What is the value of 3/(6/10)*4/(-5)? -4 What is the value of (-10)/12*36/(-120)? 1/4 Calculate (-2*(-3)/8)/((-4)/(-16)). 3 Evaluate (-2)/10*-5*1/1. 1 Calculate ((-4)/(-6))/((-8)/24). -2 Evaluate (-1)/2*(-9)/(270/(-12)). -1/5 What is 5/(((-130)/(-4))/13)? 2 What is 5/(-15)*(-16)/(-4)? -4/3 What is (-1)/4*3*(-24)/108? 1/6 (3/((-15)/5))/((-3)/(-1)) -1/3 Calculate (-1)/((-8)/2)*6/(-3). -1/2 Calculate -4*((-54)/132)/9. 2/11 Evaluate (-8)/(-6)*10/(-20). -2/3 What is ((-1)/(-4))/(72/96)? 1/3 Calculate 0/((3/(-1))/3). 0 9/3*6/9 2 Calculate 10*3/(-60)*2. -1 What is (-4)/6*((-28)/4)/7? 2/3 What is (3/(-2))/((-6)/12)? 3 (14/49)/((-3)/(-21)) 2 What is (-80)/32*(-32)/(-10)? -8 (15/(-6))/((-43)/(-86)) -5 (-12)/4*8/(-12) 2 (114/76)/((-42)/8) -2/7 What is the value of ((-24)/9)/(50/(-15))? 4/5 What is (-10)/(-2)*(4/
{ "pile_set_name": "DM Mathematics" }
z and give i. 0 Rearrange 9613*n + 376 - 737 + 363 to the form i*n + k and give k. 2 Rearrange -1557*s**2 - 232*s**2 + 4*s - 1612*s**2 - 6*s + 0*s + 1 to the form n*s + w + v*s**2 and give n. -2 Rearrange (33*a - 7*a + 18*a)*(-a + 0*a + 2*a) + 129*a**2 - 64*a**2 + 126*a**2 to j + f*a + b*a**2 and give b. 235 Rearrange (5 - 1 - 6)*(4 + 2*a - 4 + (-a - 2*a - 2*a)*(-13 + 40 - 8) + 52 - 52 + 3*a) to p + x*a and give x. 180 Express (-u + 3*u + u)*(7*u + 714 + 742 - 1462) as l + q*u + i*u**2 and give i. 21 Express (-15 - 57 - 97)*(-650*x + 650*x - 125*x**2) as n*x + c*x**2 + u and give c. 21125 Rearrange (-1 - 2 + 0)*(68 - 68 - 7*b) - 5*b + 2*b + 2*b + (-4*b + 2*b + b)*(2 - 4 + 4) + 8*b - 6 + 6 to the form o + v*b and give v. 26 Rearrange -1 - 261*u**2 - 834*u + 419*u + 415*u to the form y*u + n + v*u**2 and give v. -261 Rearrange (-962 + 587 - 1910)*(4*w**2 - 68 + 68) to the form n*w**2 + b*w + i and give n. -9140 Rearrange (-4*m**3 + 0*m**3 - m**3)*(4*m - 5*m + 2*m) - 1 + 106*m**4 - 4721*m + 4721*m to the form t + z*m + h*m**3 + k*m**4 + q*m**2 and give k. 101 Express 13224*b + 10108*b - 25400*b in the form k*b + o and give k. -2068 Rearrange (17*w**2 + 68*w**2 - 494*w**2)*(-w - 9*w**2 + 2*w**2 + 53 - 52) to i*w + k + o*w**2 + z*w**4 + d*w**3 and give o. -409 Express 41153*f**2 + 0*f**4 + 649*f - 41152*f**2 + 7*f**4 as a*f**4 + k*f**3 + j + i*f + x*f**2 and give i. 649 Express d**3 + 2*d**2 + 2*d - 712*d**4 + 701*d**4 + 3 - 3*d as f*d + m + b*d**3 + z*d**4 + n*d**2 and give m. 3 Rearrange (-592*j**3 + 368*j**2 - 368*j**2)*((-2*j + 2*j + j)*(0 - 4 + 6) + (1 + 5 + 1)*(-3*j - 3*j + 4*j)) to a*j + x*j**4 + m*j**3 + r + k*j**2 and give x. 7104 Express 1054*v**3 - 340*v**4 - 3*v + 338*v**4 - 1053*v**3 - 1205*v**2 as k*v**2 + y*v + i*v**3 + p*v**4 + s and give y. -3 Rearrange (12029096*u**3 - 12029096*u**3 + 31289*u**4)*(-2 + 2 - 1) to i*u**3 + k*u**4 + v + b*u**2 + g*u and give k. -31289 Rearrange 2079*c + 48 - 125 + 38 + 37 to b*c + z and give b. 2079 Express -1132175 + 3098*n + 1132175 as q + z*n and give z. 3098 Rearrange 100 - 101 + 560*r**2 + 770*r**2 to a*r + g + x*r**2 and give g. -1 Rearrange 53 - 53 + 12*d + 12 + 4*d + 10 - 19 - 2 - d + 2 + (d + 3*d - 2*d)*(5 - 4 + 0) to c*d + w and give w. 3 Express -385*h**3 + 1 + 383*h**3 + 151*h**4 - 128*h**4 - 387*h**4 - 1087*h**4 as g*h**3 + t*h**4 + p*h**2 + c + k*h and give t. -1451 Express -19*i - 4 - i**3 + 52*i - 17*i + 2*i - 17*i + 280*i**2 as g*i**3 + w + h*i + t*i**2 and give w. -4 Rearrange (0 + 0 - v + (-4 - 1 + 4)*(2*v + 4 - 4) + v + v + 4*v)*(-7 - 9 + 1 - 7)*(31 - 6 + 13) to the form r + k*v and give r. 0 Express -4*m**2 + 12 + 24*m**4 - 26*m**4 + 401*m + 6*m**3 + 3*m**2 - 390*m in the form z*m**3 + r*m**2 + d + b*m**4 + k*m and give r. -1 Rearrange -13*h**3 - 9*h**2 + 5*h**4 + 1687927 + 2*h + 3*h**2 - 1687926 to k + d*h**4 + s*h**3 + f*h + t*h**2 and give s. -13 Rearrange 2*a**4 + 1462175*a**2 - 4*a**4 - 1462157*a**2 - 2*a - 1 to the form s*a**2 + k*a**3 + p*a + z + f*a**4 and give p. -2 Express 18*n**4 - 731*n**3 - 27*n**4 - 78*n**3 - n - 2*n**4 + 10*n**4 + n**2 as t*n + z*n**3 + u*n**2 + l*n**4 + d and give z. -809 Rearrange -612 - 32768*i + 65537*i - 32768*i + (0*i - 2*i + 5*i)*(0 + 0 - 3) to g + j*i and give g. -612 Rearrange 2*s**4 + s**4 - 2*s**4 + (186*s**2 - 326*s**2 + 185*s**2)*(-4*s**2 - 6*s**2 + 0*s**2) to the form h*s**4 + f + q*s**2 + l*s**3 + v*s and give h. -449 Express -25*w**3 - 2065*w**4 - 3 + 1026*w**4 - 47*w**2 + 1040*w**4 + 0 as m*w**3 + u*w**2 + x + c*w + r*w**4 and give x. -3 Express 5605225 + 6090*y - 5605225 in the form m*y + w and give m. 6090 Rearrange (5*v**2 - 50*v**2 - 13*v**2)*(v - v - 2*v)*((-v - 2 + 2)*(5 - 2 + 0) - 4*v + 2*v + v) to a*v**3 + m*v + h*v**2 + j + t*v**4 and give t. -464 Express 9 - 4*a - 9 + (-4*a + 2*a + a)*(1 - 2 + 2) + 38*a - 20*a + 21*a as t + u*a and give u. 34 Rearrange -4*n - 196*n**2 + 2*n - 1 + 91*n**2 + 90*n**2 to the form a*n + d*n**2 + g and give g. -1 Rearrange -4085 - p**2 - 261*p**3 + 4084 - 3*p - 439*p**3 to the form h*p + b*p**2 + r + j*p**3 and give j. -700 Rearrange -6 + 473*z**2 + 10*z - 425*z**2 + 5*z**3 + 8 to g*z**3 + h + k*z + l*z**2 and give l. 48 Express 305869*q - 305868*q + 87*q**2 - 3 + 3 as s*q + k*q**2 + x and give k. 87 Rearrange 1093*v + 2348*v**3 - 1164*v**3 - 1180*v**3 to s*v**2 + t*v**3 + i*v + k and give t. 4 Rearrange (37*d - 335*d + 98*d)*(-13*d - 5 + 11*d + 6*d) to the form n*d**2 + f*d + x and give n. -800 Rearrange (3*t**3 - 2*t**4 - 3*t**3)*(0 + 0 - 3) + 587*t**4 - 9*t - 406*t**4 - 284*t**4 to w + l*t + x*t**3 + y*t**4 + r*t**2 and give l. -9 Rearrange -8*a - 118 + a - 75 - 5*a + 2*a to v*a + w and give v. -10 Express (-2*y**4 + 0*y**4 + y**4)*(504 + 551 - 769) in the form d*y + o*y**2 + j*y**4 + w + p*y**3 and give j. -286 Express (144*v - 366 + 366)*(-16 + 4 - 16)*(1 + 1 + 2) in the form u + r*v and give r. -16128 Rearrange 275*n**4 - 78*n**4 - 139*n**4 + (2*n**3 + 3*n**3 - 2*n**3)*(-n + n - n) to the form y*n + x*n**4 + a*n**3 + m + s*n**2 and give x. 55 Rearrange (-8 - 32 + 12)*(j - 2 + 2)*(2 + 1 - 2)*(0 + 0 - 2) + (5 - j - 5)*(12 - 13 + 18) to the form g*j + o and give g. 39 Rearrange (7*k + 6*k - 2*k)*(-172 + 191 - 147)*(4*k - k + 9*k) to the form a*k**2 + u*k + l and give a. -16896 Rearrange 15949*z**2 + 2*z**4 + 6*z - 2*z**3 - 32047*z**2 + 15845*z**2 to u*z + c*z**3 + i*z**2 + m*z**4 + w and give u. 6 Rearrange ((j - j - j**2)*(-2*j + 3*j - 3*j) + 3143*j**3 - 1568*j**3 - 1624*j**3 - 29)*(2 + 1 - 4)*(4 + 8 - 4) to w*j + y + x*j**3 + z*j**2 and give y. 232 Express (-2*o + 2 - 2)*(312 - 119 - 1051)*(0 + 1 - 3) in the form y + z*o and give z. -3432 Rearrange (7*j - 14*j + 14*j - 2)*(-5 + 2 + 4)*(3*j - 14*j - 9*j)*(-4 + 2 + 0) to d + h*j + q*j**2 and give q. 280 Rearrange (45 - 55 + 33 - 2*c)*(3 + 0 - 1)*(96*c**2 - 130*c**2 + 203*c**2) to s*c**3 + a + n*c**2 + d*c and give s. -676 Rearrange 2*c**2 + 2*c**3 + 2*c - 3*c**2 + 1119 - 868 + 0*c**2 to r*c**2 + b*c**3 + h + o*c and give h. 251 Rearrange (-3*x + 11 + x + 0*x)*(-2 + 2 - 89*x) to the form m*x + h*x**2 + p and give p. 0 Express 2*s**2 + 1782*s**4 + 1 - 4*s - 1757*s**4 - 2 + 2 + 2*s**3 in the form l*s + t*s**3 + m + k*s**2 + h*s**4 and give t. 2 Rearrange -12 + 12 - 2229*w - 2994*w + 0 to the form u*w + j and give u. -5223 Express -c**3 - c**3 - 11682349*c + 11682349*c + 19*c**2 - 4 as k*c**3 + v*c + z*c**2 + q and give k. -2 Rearrange (-64 - 114 - 370)*((-s**2 + 0*s**2 + 2*s**2)*(1 + 3 - 3) + s**2 + 0*s + 0*s) to c*s + r + a*s**2 and give r. 0 Express -225*r**3 - 1360 - 5*r**2 - 2*r + 896*r**3 - 231*r**3 - 211*r**3 - 228*r**3 in the form v + t*r**3 + d*r**2 + m*r and give d. -5 Express 5*s**4 - 2*s**2 + 5*s**4 - 399 - 4*s - 12*s**4 + 3*s**2 - 292 as f + h*s**4 + g*s + c*s**3 + r*s**2 and give r. 1 Rearrange -22*v**3 + 0*v**4 - 10*v + 13*v**2 + 2*v - 7*v**2 - 5*v**2 + 2 - 2*v**4 to the form c*v**2 + m*v**4 + j + k*v**3 + r*v and give c. 1 Express 38930*d + 35665*d - 84247*d as i*d + k and give i. -9652 Rearrange -792*m + 65*m**2 + 42*m**2 + 781*m to the form w + c*m + i*m**2 and give c. -11 Express (-2*t**3 + 7*t**3 - 3*t**3)*(-4 + 2 + 1) - 15*t + 278*t - 263*t + 101*t**3 - t**3 + 87 in the form q*t**3 + p*t + s + b*t**2 and give q. 98 Express 723749*w - 23252*w**2 - 723749*w as j + b*w + n*w**2 and give n. -23252 Rearrange (-9 - 3 + 0)*(15 - 90 - 11)*(-3*t**2 + 2*t**3 + 3*t**2) to the form x*t + g*t**3 + f*t**2 + j and give x. 0 Express (2*h**3 - 2*h**3 + 2*h**3)*(119*h - 239*h + 3035 + 119*h) in the form d + z*h**2 + j*h + n*h**3 + i*h**4 and give i. -2 Express 31*b + 37*b - 192*b + 124*b + 5847*b**2 as i + o*b**2 + m*b and give o. 5847 Rearrange -5*l + 69248*l**4 + 60*l - 69245*l**4 - 5*l**3 to k*l**4 + p + y*l**2 + z*l + n*l**3 and give k. 3 Rearrange 54*r + 53*r + 9 - 9 - 3 to h*r + w and give w. -3 Express 91*u**2 - 87*u**2 - 36*u**3 - 26 + 42 - 20 in the form v*u**2 + t*u + s + l*u**3 and give s. -4 Rearrange -2222 + a + 1439 - 2032 - 2906 to g*a + u and give u. -5721 Rearrange 11184*j**4 + 6*j**2 + 130*j - 22359*j**4 + 11178*j**4 to v*j**3 + r + d*j**2 + y*j + c*j**4 and give c. 3 Rearrange -638 - 8*z**2 + 0*z + 15*z**4 + 639 + 2*z + 5*z**4 to the form s*z**3 + p*z**4 + o*z + c*z**2 + d and give p. 20 Rearrange 4*l + 29 + 49*l**2 +
{ "pile_set_name": "DM Mathematics" }
4 = -q*j + 6. Solve 12 = -j*x + 4 for x. -4 Suppose -10 = 2*n - 12. Suppose -d = -3 - n. Suppose -j = -d*a + 67 + 20, -2*a - 4*j + 48 = 0. Solve 5*x = -7 + a for x. 3 Let q = 31538 + -31530. Solve -q*c - 84 = -132 for c. 6 Suppose 0 = -47*o + 52*o - 200. Suppose 3*d - o = 32. Suppose 3*j = 3*p + 18, j + 5*p = -0 + d. Solve j*x = 4*x - 20 for x. -4 Let t be ((-20)/(-3))/(4 - 26/6). Let s be 30/7 - t/(-70). Suppose u - 6*u = s*g - 15, -u + g + 3 = 0. Solve -u*a = -2*a - 1 for a. 1 Let q be (1 - (10/(-1))/2)*51336/4968. Solve 0 = q*n + 32*n + 282 for n. -3 Let d(m) = m**3 - 99*m**2 - 1451*m - 221. Let t be d(112). Solve -311*b = -t*b + 168 for b. 6 Let m(h) = 2*h**2 + 354*h + 1738. Let x be m(-5). Solve -8*i + x - 82 = 0 for i. -8 Suppose -14926*x = -14925*x - 382. Solve 346 - x = 12*k for k. -3 Suppose -51*z - 10 = -53*z. Suppose 22*t + z = 27*t. Solve -16 = -3*o - t for o. 5 Suppose 419 + 202 = -9*o. Let a = -67 - o. Solve 0 = -a*g + 8 for g. 4 Suppose 11*z = -4*i + 7*z, 0 = 3*i + 5*z. Let c(h) = -21*h + 14. Let b(q) = -q + 1. Let g(f) = -14*b(f) + c(f). Let o be g(i). Solve o = -3*l - 2*l - 20 for l. -4 Let z = -1131 - -782. Let s = z - -351. Solve 4*q + s = 3*q for q. -2 Let k be (-1)/(0 + 1/(-5)). Suppose 0*p + d + 96 = 2*p, p + 5*d = 26. Let y = p - 43. Solve y*w + 2*w = k for w. 1 Suppose 0*q - 4*q = 0. Let p be 5 + (-34)/119 + (-5)/7. Suppose p*c - r - 43 = 0, -r + 53 = 4*c - 0*r. Solve -c = -q*j + 4*j for j. -3 Suppose 19716 = 369*p - 4269. Solve p*y - 57 = 84*y for y. -3 Let m = -12 - -17. Suppose -923 + 883 = -4*a. Solve -5 = -m*l + a for l. 3 Suppose 10 = 5*k + 5*l, k - 1 = -4*l + 7. Suppose 3*h + 759 - 825 = k. Solve 0 = -2*b - h + 14 for b. -4 Suppose 16*l - 7*l - 297 = -0*l. Solve 21*j = l*j for j. 0 Suppose 0 = 5*b - 3*t - 65, -b - t - 319 = -340. Solve -b*g + 6*g = -50 for g. 5 Let s(t) = 2*t**2 - 21*t - 6. Suppose 77 = 41*m - 34*m. Let j be s(m). Solve -2*z = -j*z + 3 for z. 1 Suppose -5*v = 5*m - 20, 4*m + v + 6 - 16 = 0. Let s(f) = f**2 + 14*f - 214. Let q be s(10). Suppose -9*i = -55 - q. Solve o + m*o = -i for o. -3 Let t be 7732/10 - -28*5/175. Solve -649 = -25*g - t for g. -5 Let n be (110/33)/(8/36). Let u = n - 0. Solve o + 2*o = -u for o. -5 Let g = -1675 - -1754. Solve -31*i + g = -107 for i. 6 Let t be (6 + -4 - 3)/(2/154). Let r = 82 + t. Suppose -2*w - 5 = r*i + 5, -3*w + 2 = -i. Solve w = 6*g - g for g. 0 Let c(k) = 2*k**3 - 22*k**2 - 2*k + 19. Let i be c(11). Let o be 10*i/((-60)/8). Solve -o*m - 12 = -7*m for m. 4 Suppose -p = -11 + 31. Let h be 0*(6/(-4) + p/(-8)). Solve h = 2*s - 5*s for s. 0 Let m be 0/(2/((-8)/(-12))). Suppose 0 = -m*p - 5*p - 15. Let g = 15 + p. Solve o = -3*o + g for o. 3 Suppose 2*c + 8 - 32 = 0. Suppose -b = 2*b - c. Let z(r) = -r + 24. Let t be z(16). Solve 4*o - b + t = 0 for o. -1 Let u be ((-56)/24)/(168/(-8496)). Solve -56 = 110*i - u*i for i. 7 Let g = -506 - -523. Suppose -55*r + g*r + 76 = 0. Solve -3 = r*h - 7 for h. 2 Let b(a) = 186*a**2 - 3*a + 2. Let d be b(-1). Solve 55*p + 139 = -d for p. -6 Let t be 1*0/(3*(-3 - -4)). Suppose -2*n = -t*n + 152. Let r = -74 - n. Solve -r = -i - 0 for i. 2 Let x be 21/(-14)*(0 - 392/6). Let q be -1 + 111/21 - 28/x. Solve 6 - 14 = -q*s for s. 2 Let w = 334 - 334. Suppose 3*s - 4*o - 8 - 21 = w, 5*s - o - 20 = 0. Solve -2*r - s*r + 10 = 0 for r. 2 Suppose x = 4*f - 0*f - 6, 0 = -2*x + 4*f - 4. Let j be (-144)/66 + x - 237/(-33). Solve -j*y - 11 + 4 = 0 for y. -1 Let f(j) = 2*j**2 + 2*j + 5. Let x be f(0). Solve 12 = x*r + 7*r for r. 1 Let i be (-9 + 31/3)*6. Solve -14*z + 44 = i*z for z. 2 Suppose 22 = -o - 4*f + 55, 2*o + 4*f = 66. Suppose -o = -8*y + 11*y. Let n(q) = -q**3 - 11*q**2 + 3. Let b be n(y). Solve 0 = -b*s - 8 - 4 for s. -4 Let z(r) = -r**2 + 23*r - 54. Let x be z(20). Suppose 4*w + x = -2*w. Let d be (-25)/5 + (6 - w). Solve f + f = -d for f. -1 Let o be 10*(-2)/140 - (-486)/21. Solve -143 = 40*a - o for a. -3 Let k be (2 + -2)/(0 - -1). Suppose 4*s - 21 = 3*v - 0*s, -s + 34 = 5*v. Solve l + 6 - v = k for l. -1 Let o(d) be the second derivative of 5*d**3/6 - 35*d**2/2 - 37*d. Let j be o(7). Solve j*g + 5*g = 0 for g. 0 Suppose 9*f + 96 = 13*f. Let r = 26 - f. Solve 0 = r*d - 2 - 2 for d. 2 Suppose 4*f = u + 8, 1 = 5*u - 5*f - 4. Let v = 322920 - 322918. Solve -2 = -v*y + u for y. 3 Let k(g) = -119*g + 161. Let x be k(0). Solve -163*d + x*d + 10 = 0 for d. 5 Suppose -51 = -t - w, 2*t = 2*w - 60 + 170. Let c = -51 + t. Suppose -12*o = -c - 10. Solve 5*j + o = 6 for j. 1 Let g = 228 - 228. Suppose g = 3*m + d, -5*m = 9*d - 13*d. Solve 0 = -m*r - 2*r + 10 for r. 5 Suppose 41*j - 15 = 26*j. Suppose 4*w = 35*f - 31*f - 4, -f + 3*w - j = 0. Solve 12 = -f*r - r for r. -4 Let h = 44 + 137. Let j = h + -173. Solve -v - j*v - 27 = 0 for v. -3 Let k be (-79)/(-5) + (4 - 0)/20. Suppose k = 5*g - 4*l - 0*l, -g + 2 = -2*l. Suppose 5*y = -3*v - 21 + 2, 16 = -2*v - g*y. Solve v*h - 6*h + 16 = 0 for h. 4 Let p(u) = -u**2 + 7*u. Let i be p(4). Suppose 5*x + i = -2*n, 13 = -2*x + 5. Solve -n = -f - 7 for f. -3 Suppose 15 = 6*d - 9*d. Let p be -2*(-2)/(-4)*d. Solve -p = -2*f + 3*f for f. -5 Let h(v) = -41*v + 18. Let j(m) = -19*m + 9. Let k(n) = -6*h(n) + 13*j(n). Let b be k(-3). Solve 2*z = -2*z - b for z. -3 Let y(b) = -12*b**2 + 41*b + 1. Let v be y(3). Solve v - 17 = -q for q. 1 Let z = 72 - 69. Let m be ((-3)/(-4))/(153/(-180) - -1). Suppose 3*f + 2*w = -3 + 26, 0 = m*f - 3*w - 70. Solve f - 5 = -z*c for c. -2 Suppose 0 = -4*p + 3*t + 603, 2*p - t - 301 = -0*t. Let d = p + -99. Let r = d + -51. Solve r = -l - 1 + 3 for l. 2 Let r = 2894 + -2878. Solve 0 = -80*i + 88*i + r for i. -2 Suppose 2*r - 77 = s, 36*s + 4 = 40*s. Solve -51 = -3*g - r for g. 4 Let g(y) = 9*y - 315. Let i be g(35). Suppose i = -4*h + 22*h. Solve 30 = 10*m - h for m. 3 Suppose -1135*d = -105*d - 3497 + 407. Let l be 4 + 1*(2 + -2). Suppose 2*y + 14 = l*y. Solve d*g = y*g for g. 0 Suppose -3*f - y + 71 = 0, -1353 + 1378 = 5*y. Solve 19*z - 30*z + f = 0 for z. 2 Let f be -1 + 6/4 - (-5136)/96. Let t = -51 + f. Solve 0 = 2*j - 5 + t for j. 1 Let j(l) = -6*l + 171. Let b be j(28). Suppose b*t - 183 = -17*m + 12*m, -67 = -2*m + 5*t. Solve 0 = -30*p + m*p for p. 0 Suppose -g = -2*q + 50, 3*q - 5*g - 25 = 2*q. Let w be (-12)/(-5) + (-30)/(-50). Suppose 2*t + 4*b + 16 = 0, 4*t + 4*b = t - 14. Solve -w*c = t*c - q for c. 5 Let y be 24/((-3 + 4)*-1). Let v(o) = -o**3 - 24*o**2 + 11. Let f be v(y). Suppose -14 = f*h - 12*h. Solve 0 = -4*j - 2 + h for j. 3 Let a(m) be the first derivative of -m**4 + 4*m**3/3 + 5*m**2/2 + 255. Let b be a(-1). Solve -b*t = -6*t + 15 for t. 5 Suppose 10 = -2*c + 32. Suppose -2*b - 42 = -2*z, 2*z - z - 12 = -2*b. Let v be 1/(3/z) - 4. Solve 3 - c = -v*w for w. 4 Let x = -1554 - -1638. Solve k - x + 89 = 0 for k. -5 Let g(c) = -c**2 + 8*c - 8. Let o be g(6). Let n be ((-2)/3)/(10/15). Let f be (-2 - n - 3)*(-9)/18. Solve f = a + o for a. -2 Suppose -3*v + 7*v - 620 = -5*p, 2*p = -5*v + 248. Solve 149*d - p*d = -200 for d. -8 Suppose 102*z + 728 = 116*z. Solve z - 16 = -9*k for k. -4 Suppose -5332 = -24*s - 5212. Suppose -1 = -4*o + 3*o. Let i(v) = 3*v**2 + v - 1. Let g be i(o). Solve -g*k = -2*k + s for k. -5 Let u be 6/(-8*2/(-8)) - 3. Solve 2*b + 12*b - 14 = u for b. 1 Suppose 3*c + b = 523, 861 = 5*c + 17*b - 18*b. Let o = -169 + c. Solve 7*k = o*k + 3 for k. 1 Let i = -58 - -102. Let d = 63 - i. Suppose -15*a + d*a = 8. Solve 0 + a = m for m. 2 Let y(u) = 2*u**3 - u**2 + 6*u + 9. Let v be y(4). Let n = 145 - v. Solve n = 2*h - h - 3 for h. 3 Suppose -2*d - 3 = 3. Let f = 2 - d. Suppose -5*o = -10 + f. Solve -o - 3 = -2*r for r. 2 Let g be ((-4)/(-12))/((-2)/(-12)). Let p(s) = s**2 - 6*s - 2. Let d be p(7). Suppose -2 = x - d. Solve g*l + x*l = 25 for l. 5 Let h be ((-138)/(-9))/(0 + (-2)/6). Let w = -46 - h. Let u be (w/1)/((-1)/(-3 + 4)). Solve u*f = -f + 2 for f. 2 Let s = -20440 + 20493. Solve -s*c + 294 = -151*c for c. -3 Let u be 1666/91 - 44/143. Solve 285 = u*w + 249 for w. 2 Let r(n) = 2*n**3 - 5 - 2*n - 2*n - 3*n**3 - 5 - 4*n**2. Let v be (0 - 13 - -1)*(-14)/(-42). Let l be r(v). Solve l = 3*q - 0*q for q. 2 Let l(a) = -4*a - 26. Let f be l(-7). Let s be -10 - -10 - (101*3)/3. Let r = -87 - s. Solve -4*p - r = -f for p. -3 Let t = 25 + 65. S
{ "pile_set_name": "DM Mathematics" }
1 Let r be 11/4 + (-4)/((-48)/(-9)). Suppose 5*d - r*w - 11 = -3*w, d = 4*w - 2. Let s(o) = 1 + 2*o**d - 121*o + 121*o + o**3. What is s(-2)? 1 Let t(w) = w**3 - 11*w**2 + 11*w - 10. Let k(y) = -4*y - 1. Let x be k(19). Let j = x + 111. Let c = j + -24. Calculate t(c). 0 Let u be 4/((-36)/219) + (-10)/6. Let t = u - -21. Let w(i) = -i - 7. Give w(t). -2 Suppose 8 = 2*w + 2. Let v be -1*4/(-6) - (-7)/w. Let o(r) = 36*r - r**v - 80*r + 43*r. Give o(0). 0 Suppose 2*d + 3*y + y - 88 = 0, 2*d = 2*y + 100. Suppose 2*h = -6*h - d. Let j(k) = 150*k**2 - 4*k + 0*k**3 + 7 + k**3 - 145*k**2. Give j(h). -5 Let c(l) = -4*l + 3. Let t be (0 - (-5)/5)*20. Suppose t*m + 105 - 5 = 0. Give c(m). 23 Let o(u) = -4 + 13 - 2*u + 7 + 4. Let y(i) = 9*i**2 - 113*i - 41. Let s be y(13). Determine o(s). -2 Let z be (-2)/(-2)*((54 - 43) + -13 + 1). Let w(b) be the first derivative of -1 - 3/2*b**2 - b - 1/3*b**3. Give w(z). 1 Let y(a) be the first derivative of 23*a**2/2 + 155*a - 14753. What is y(-7)? -6 Let h(t) = 2*t + 6. Let d be h(-3). Let y = -212 + 238. Let q(k) = -58*k + 33*k + y*k - 4. What is q(d)? -4 Let x(m) be the third derivative of -m**6/120 + 3*m**5/20 + m**4/4 + 3*m**3/2 - 582*m**2 - 2*m + 2. Give x(10). -31 Let b = 24 + -366. Let y = b + 343. Let p(j) = -11*j**3 + 2*j - 1. Calculate p(y). -10 Suppose 73 = 5*c + 13. Let t(f) = -f**3 + 11*f**2 + 16*f - 54. Give t(c). -6 Suppose -2*r = -b + 8, 20 = 13*r - 18*r - 4*b. Let m(z) = z**3 + 2*z**2 + 17. Calculate m(r). -15 Let u(n) = -29*n + 54. Let w(c) = 70*c - 109. Let d(a) = 7*u(a) + 3*w(a). What is d(-7)? 2 Let b(y) be the first derivative of y**4/12 - y**3 - 3*y**2/2 + 6*y + 13. Let s(c) be the first derivative of b(c). Suppose 8*f - 5*f = 12. Calculate s(f). -11 Suppose 0 = o - 2, 0 = 5*v + 11*o - 9*o - 29. Let z(y) be the second derivative of -y**5/20 + y**4/4 + 5*y**3/6 - 2*y**2 - 84*y. Give z(v). -29 Let w(z) be the third derivative of 3*z**4/4 - 5*z**3/6 - 1720*z**2. Determine w(-4). -77 Let c(w) be the third derivative of -w**5/60 + w**4/6 - 2*w**3/3 + 2*w**2. Let j = 19743 - 19738. Determine c(j). -9 Let q(z) = -6*z**2 - 2*z + 1. Suppose -92 = 15*j - 20*j - 2*k, 41 = 2*j + 5*k. Let r be (104/10)/(-13) + j/10. Calculate q(r). -7 Let p(o) = 11*o + 18. Let l be 244/(-2562) + 6/63. Determine p(l). 18 Let q = -40 + 41. Let f(p) be the first derivative of -23*p**4/4 + p**2/2 - p + 118. Give f(q). -23 Let b(r) be the first derivative of -r**3/3 + 5*r + 9521. Calculate b(-8). -59 Let r(i) = i**2 + 19*i + 49. Let p be (3 - 13/3)*3. What is r(p)? -11 Let l(a) = -a**3 + 6*a**2 - 3*a + 21. Let o be l(6). Let c(f) = f**2 - 2*f - 7. What is c(o)? -4 Suppose 20 = 6*s + 4*s. Suppose 3*d + 4*o + 22 = 0, -7 - 1 = d + s*o. Let h(g) = g**2 + 5*g + 9. Determine h(d). 15 Let w(z) = -z**3 + 29*z**2 + z - 33. Let m(y) = -7*y**2 - 132*y + 48. Let h be m(-19). Determine w(h). -4 Let b(l) = -4*l**3 - 12*l**2 + 9*l - 1. Let w(x) = x**3 + x**2 - 1. Let r(o) = b(o) + 5*w(o). Let z be (-672)/9 + 22/33. Let s = -68 - z. What is r(s)? 12 Let s(a) = -334*a + 1 + 0*a**2 - 4*a**3 - 3*a**2 + 334*a. Calculate s(2). -43 Let f(u) = -8*u - 161. Let x be ((-48)/60)/((-6)/(-15)) + 76/(-4). Determine f(x). 7 Let u(t) be the first derivative of -t**3/3 - 4*t**2 - t - 16. Let l = 1447 + -1458. What is u(l)? -34 Let p(m) = -2*m**2 + 129*m - 1170. Let y be p(11). Let r(k) = -k**3 + 8*k**2 - 3*k + 16. Give r(y). 44 Let y(h) = 4*h + 110*h**2 - 2*h**3 - 104*h**2 + h**3 + 4*h. Let w = -6 + 13. Let x be y(w). Let s(d) = -d - 2. Determine s(x). -9 Let i(m) be the first derivative of -m**4/24 + 5*m**3/2 + 7*m**2 - 35. Let g(h) be the second derivative of i(h). Give g(8). 7 Let r(p) be the second derivative of p**4/8 - 119*p**2/2 - 21*p + 2. Let a(w) be the first derivative of r(w). Suppose 0 = -5*l - 0*l + 30. Give a(l). 18 Let j(x) = -x**3 + 2*x - 3. Let k(t) = 4*t**3 - 15*t**2 - 8*t + 41. Let m(d) = 5*j(d) + k(d). Determine m(-15). -4 Let y(h) = -3*h + 1. Let f(c) = 1. Suppose -15 = -5*q - 0*q. Let l(p) = q*f(p) - 2*y(p). Calculate l(2). 13 Let k(m) = m**3 + m**2 - m - 2. Suppose 3*v - 5*u = -15, 14 + 1 = v + 5*u. Suppose 153 + 43 = 28*b. Suppose v = b*a + 15 - 1. Determine k(a). -4 Let p(v) = -v**3 + 5*v + 2. Let l(u) = u**2 - 3*u - 13. Suppose -4*f = 4*f - 40. Let c be l(f). What is p(c)? 14 Let g(l) = -36*l**2 - 45*l - 37. Let i(h) = 51*h**2 + 68*h + 55. Let q(p) = 7*g(p) + 5*i(p). Give q(-8). 8 Let a(g) = 3*g**2 + 23*g + 31. Let t(q) = -28*q**2 + 389*q + 36. Let u be t(14). What is a(u)? 1 Let g(v) be the first derivative of -v**2 + 15*v - 1173. What is g(0)? 15 Let y(s) be the second derivative of s**3/6 - 2*s. Suppose -3*k - 664 = t - 684, 5*k = -5*t + 50. Calculate y(t). 5 Suppose 15 = -2*n - l, 10*n + 4*l = 8*n. Let f be -15 - n - (-2 - (2 - -4)). Let w(b) = b**3 - 4*b**2 + b + 4. Calculate w(f). -2 Let s(g) be the third derivative of -g**8/20160 - g**7/504 + g**6/240 - 13*g**5/10 + g**4/12 - 47*g**2. Let o(y) be the third derivative of s(y). Give o(-7). 24 Let z(d) be the first derivative of -2*d**3 - 19*d**2 + 2*d + 10082. Give z(-7). -26 Let u = 33 + -25. Let x(j) be the first derivative of 12*j + j**2 - 2*j - 1 + 7 + u. Determine x(-7). -4 Let q(k) be the first derivative of -k**5/60 + 5*k**4/24 + 5*k**3/6 + k**2 - 3*k + 27. Let t(f) be the second derivative of q(f). Determine t(7). -9 Let w(z) be the third derivative of z**6/120 - z**5/6 + 2*z**4/3 + z**3 + 1095*z**2. Give w(8). 6 Suppose -3*t = -5*z - 47, -66*t - 2*z - 35 = -69*t. Let d(v) = 3*v**2 - 29*v + 19. What is d(t)? 1 Let w(a) = -9 + 3*a - 3*a**2 + 0*a**2 + 4*a**2. Suppose 3*r - m = 0, 21*m - 16 = 4*r + 25*m. Let j(i) = i + 1. Let s(l) = r*j(l) - w(l). Calculate s(-6). -4 Suppose -m = -1 - 0, -m = -4*f + 235. Let w = f + -98. Let o be 2/(-13) - (-1)/w*267. Let p(z) = z**3 + 6*z**2 - 5*z + 4. What is p(o)? -10 Let b(r) be the first derivative of r**6/180 + r**5/40 - r**4/6 - 13*r**3/3 - 110. Let j(i) be the third derivative of b(i). Give j(-3). 5 Let z(o) = -o**3 - 13*o**2 + o + 161. Let w be z(-12). Let p(l) = 14*l - 13. Give p(w). 57 Let t(o) = 4*o + 4. Let i be 57 + (-1)/(-3 - 42/(-15)). Suppose -13*l - 3 = i. Determine t(l). -16 Let z(p) = -6*p + 15*p - 15 - 2*p**3 + p**3 - 10*p**2. Suppose -o + 2 = -4*m - 44, 0 = 3*m - o + 35. Determine z(m). 7 Suppose -31*x + 30*x = -5. Suppose -5*t = 3*l - 22, x*t - 2*l + 12 = 7*t. Let q(o) = 7*o - o**3 - 1 + 6*o**t - 6 + 0*o**2. What is q(7)? -7 Let n(i) = -4*i + 7. Let v(m) = -39*m + 76. Let x(o) = 58*n(o) - 6*v(o). Calculate x(20). -10 Let p(g) be the second derivative of g**6/120 - g**4/24 - g**3/3 - g**2/2 - g. Let r(u) be the first derivative of p(u). Let y = -79732 - -79734. What is r(y)? 4 Suppose -38 - 10 = -16*z. Let h(c) = c**3 + 14*c**z - 6*c**3 - 8*c**3 + 15*c**2 + 13*c - 10. What is h(-14)? 4 Let x(a) be the second derivative of -a**5/20 + a**4/3 + a**3/6 - 3*a**2/2 - a. Let k be (8/(-7))/(38/(-11039)). Let h = -328 + k. What is x(h)? 1 Let s(f) = -85242*f + 15*f**2 + 0*f**3 + 85251*f + 1 - 2*f**3 - 10*f**2. Determine s(-2). 19 Suppose 64*z - 136 = 132*z. Let u(l) = -3*l**2 - l - 3. Give u(z). -13 Let c(a) = -a**2 + 23*a - 23. Suppose 11*k + 53 - 174 = -4*u, 3*k - 53 = -2*u. Determine c(u). -1 Let t(g) = 1. Let z(c) = 2*c + 3. Let y(r) = -3*t(r) + z(r). Let f(s) = -s**3 + 17*s**2 - 28*s + 827. Let k be f(18). Calculate y(k). -2 Let t(y) = 4*y**2 + 24*y + 5. Let x(w) = -11*w**2 - 71*w - 15. Let v(j) = 17*t(j) + 6*x(j). Suppose -1035 = -85*c - 30*c. Give v(c). -5 Let w(h) = 16*h**3 - 41*h**2 - 22*h - 154. Let u(c) = 5*c**3 - 14*c**2 - 8*c - 50. Let i(q) = 19*u(q) - 6*w(q). Determine i(-19). -7 Let q(v) = 5*v**2 + 8*v - 146. Let w(a) = -9*a**2 - 17*a + 259. Let y(m) = 7*q(m) + 4*w(m). What is y(8)? -146 Let z(o) = o**3 + 8*o**2 + 9*o + 6. Let t(k) = 24*k - 16. Let s be t(5). Suppose 14*x - s = 6*x. Suppose x*w = -2*w - 105. Determine z(w). -8 Let i(v) be the first derivative of v**3/3 + 8*v**2 + 68*v - 86. Calculate i(-9). 5 Let y(d) = -19 - 85373*d + 85370*d + 45. Determine y(15). -19 Let r(b) = -b**3 + 11*b**2. Let k be (-174)/(-16) - (13 - (-1050)/(-80)). Give r(k). 0 Suppose 0 = -r + 5*s + 33, s = -0*r + r - 29. Let j = 28 - r. Let l(q) be the second derivative of q**5/20 + q**4/12 + q**3/6 + 9*q**2/2 + 12*q. Give l(j).
{ "pile_set_name": "DM Mathematics" }
3*k + u*k**2 - 2*k**3 - 6*k + 3*k**3. Give 3*s(z) + y(z). z**3 + 2*z**2 Let b(n) = 4*n. Let k(p) = -5*p. Let a(y) = -6*b(y) - 4*k(y). Let r(l) = 4*l. Determine -4*a(x) - 3*r(x). 4*x Suppose -10 = -j - j. Let a(t) = t**3 + 1. Let b(x) = -6*x**3 - 5. Give j*a(h) + b(h). -h**3 Let a(h) = 3*h**2 + 3*h - 4. Let c(t) = -8*t**2 - 8*t + 11. Calculate 11*a(u) + 4*c(u). u**2 + u Let r(b) = 4*b + 13. Let u(y) = -3*y - 14. Determine -2*r(k) - 3*u(k). k + 16 Let x(f) be the third derivative of f**4/24 - f**3/2 - f**2. Let q(r) be the first derivative of r**2/2 - r - 1. What is -2*q(o) + x(o)? -o - 1 Let n(i) = 6*i - 4*i + 3 - 3*i. Let y(f) = 3*f - 8. Determine 11*n(j) + 4*y(j). j + 1 Let y(u) be the second derivative of -u**4/12 - u**3/6 + u**2/2 + 41*u. Let f(i) = -5 + 3*i**2 + 5 + 3*i. Let j be (0 - -1) + (-2)/(-2). Give j*y(b) + f(b). b**2 + b + 2 Let z(n) = -n + 1. Let l(d) be the second derivative of -d**3 + 3*d**2 + 16*d. Calculate -l(a) + 4*z(a). 2*a - 2 Let w(u) = -15*u**2 - 4*u - 7. Let l(t) be the third derivative of t**5/15 + t**4/24 + t**3/3 + 3*t**2. Give 22*l(f) + 6*w(f). -2*f**2 - 2*f + 2 Let o(u) = -u**2 + 4*u + 1. Let g(i) = -3*i**2 + 11*i - 1. Let f(v) = -3*v**2 + 11*v. Let z(j) = -4*f(j) + 3*g(j). Give -11*o(w) - 4*z(w). -w**2 + 1 Let p(q) = 12*q**2 - 11. Let f(t) = t**2 - 1. Let c be 10/(-25) + (-36)/(-15). Give c*p(b) - 22*f(b). 2*b**2 Let n(z) = -4*z**2 + 1. Let a(j) = -11*j**2 + 2. Let q(c) = 3*a(c) - 8*n(c). Let h = 13 - 15. Let t(m) = 3*m**2 + 7. Calculate h*t(u) - 7*q(u). u**2 Let z(s) = 2*s**2 + 7*s + 1. Let u be z(-4). Let j(y) = 7*y - 4 - 4 + 5. Let n(w) = -w. Calculate u*n(f) + j(f). 2*f - 3 Let u(c) be the second derivative of 4*c + 5/2*c**2 + c**3 + 0. Let p(x) = -x - 1. Give 5*p(v) + u(v). v Let s(n) = n**2 + 2*n - 2. Let v(p) = 5*p - 15*p + 7*p + 3. Give 3*s(t) + 2*v(t). 3*t**2 Let r(m) = 2*m**3 - 5*m**2 - 4*m + 4. Let d(i) = -3*i**3 + 9*i**2 + 7*i - 7. Calculate -4*d(x) - 7*r(x). -2*x**3 - x**2 Let l(a) = -a**2 + 82 - 82. Let q(i) = i**2. Calculate 2*l(t) + 3*q(t). t**2 Let k(x) = 3*x + 24. Let j(r) = 4*r + 24. Calculate -4*j(z) + 5*k(z). -z + 24 Let h(n) = 5*n**3 - 4*n**2 + n - 5. Let u be (-120)/(-45)*2*(-6)/8. Let b(r) = r**3 - r**2 - 1. What is u*b(k) + h(k)? k**3 + k - 1 Let q(r) = -3*r**2 - 6*r - 5. Let f(g) = -7*g**2 - 13*g - 11. Calculate 4*f(b) - 9*q(b). -b**2 + 2*b + 1 Let f(k) = 15*k**3 + 6*k**2 - 6*k + 1. Let i(p) = -44*p**3 - 17*p**2 + 17*p - 3. Calculate -17*f(z) - 6*i(z). 9*z**3 + 1 Let y(t) = -t**2 + 2*t + 2. Let p(i) = 2*i + 2. Let a(o) = 5*o + 5. Let w(c) = -3*a(c) + 8*p(c). Give 2*w(z) - y(z). z**2 Let x(a) = 2*a + 2. Let u(g) = 3*g + 3. What is -3*u(h) + 5*x(h)? h + 1 Let i(k) = -k**2 + 2*k. Let r(u) be the first derivative of u**4/4 + 2*u**3/3 - 2*u**2 - 1. Determine 5*i(v) + 2*r(v). 2*v**3 - v**2 + 2*v Let x = -74 - -71. Let g(w) = -5*w**2 + 3*w - 2. Let v(f) = -9*f**2 + 6*f - 3. Determine x*v(l) + 5*g(l). 2*l**2 - 3*l - 1 Let h(v) = -v**3 + v**2 - 6. Let x be h(0). Let b(l) be the second derivative of l**4/12 - 2*l - 16. Let d(f) = -6*f**2. Determine x*d(m) - 34*b(m). 2*m**2 Let w(x) = x**3 - x - x + x. Let d(c) = -2*c**2 + 5*c - 1. Let b be d(2). Let p(g) = -8*g**3 + 6*g. Determine b*p(j) + 6*w(j). -2*j**3 Let w(u) = -4*u - 2. Let i(j) = 12*j + 1 - 6 + 5 + 4. Let l(z) = 11*z + 4. Let r(t) = -2*i(t) + 3*l(t). Let h be (-2)/6*(-13 + -2). Determine h*w(b) + 2*r(b). -2*b - 2 Let c(p) = -3*p**2 + 2*p. Let l(s) be the second derivative of -5/6*s**3 - 7*s + 0*s**2 + 0 + 7/12*s**4. Calculate -10*c(u) - 4*l(u). 2*u**2 Let o(w) = w**2 - w - 1. Suppose 4*u + 5*c + 116 = 0, 2*c + 20 = -3*c. Let t(a) = a**3 + 8*a**2 - 8*a - 8. What is u*o(g) + 3*t(g)? 3*g**3 Suppose 5*l - l + h = 4, -3*l = -4*h + 16. Let c(t) = l + 0 - 4 - 5 - 13*t. Let x(q) = 3*q + 2. Calculate 4*c(j) + 18*x(j). 2*j Let b(h) = 5*h + 1. Let m = -2 - 1. Let p be 0/(1 - 0) - m. Let n(g) = 6 - 4*g + 2 - 9. What is p*n(a) + 2*b(a)? -2*a - 1 Let h(t) = 3*t. Let p(r) = -4*r + 1. Calculate -5*h(s) - 4*p(s). s - 4 Let z(u) = u + 4. Let o(x) = 6*x + 21. Let k(j) = 2*j**2 - 5*j - 8. Let y be k(4). Determine y*o(a) - 21*z(a). 3*a Let p(n) = -13*n**3 + 3*n + 5. Let x(t) = 13*t**3 - 2*t - 6. Let m(q) = -6*p(q) - 5*x(q). Let w(a) = 3*a**3 - 2*a. Let f = 16 - 25. What is f*w(s) + 2*m(s)? -s**3 + 2*s Let q(s) = 11*s + 2. Let w(i) = -4*i - 1. Give 3*q(h) + 8*w(h). h - 2 Let i(j) = 6*j - 4 - j**2 + 3*j**2 + j - 3*j. Let w(s) = -5 - 7*s + 2*s**2 + 24*s - 12*s. Give -5*i(c) + 4*w(c). -2*c**2 Let g(y) = -3*y**2 + 4*y - 2. Let i(q) = -7*q**2 + 9*q - 5. Let o(b) = 9*g(b) - 4*i(b). Let v(m) = -2*m**2 - m - 3. Determine 3*o(d) + 2*v(d). -d**2 - 2*d Let p(a) = -a**2 + 5*a - 9. Let x(n) = -n**2 + 3*n - 5. Suppose 2*r - i = 12, r - 7*i = -3*i + 13. Give r*x(s) - 3*p(s). -2*s**2 + 2 Suppose -4*c = -8 - 8. Let r(y) = 5*y - 11. Let n(i) = -2*i + 4. Let g(u) = 2*u + 1. Let b be g(5). Give b*n(v) + c*r(v). -2*v Let x(i) = 5*i - 7. Let z(d) = -4*d + 7. Give -6*x(m) - 7*z(m). -2*m - 7 Let x(i) = -3*i**3 - 6*i**2 + 5*i. Let p be (-54)/(-10) - (-2)/(-5). Let b(s) = -s**2 + s. Determine p*b(z) - x(z). 3*z**3 + z**2 Suppose 3*y = 0, 0*b - 2*b = 3*y + 12. Let q(t) = 2*t**2 - t - 1. Let j(d) = 2*d**2 - d - 1. Calculate b*q(w) + 5*j(w). -2*w**2 + w + 1 Let x(q) = q. Let m(w) = -7*w + 1. Calculate -m(b) + 3*x(b). 10*b - 1 Let d(n) = n - 1. Let x(j) be the second derivative of -7*j**3/6 + 5*j**2/2 + 4*j. Determine 6*d(r) + x(r). -r - 1 Let m(t) = -11*t. Let y(g) = -32*g. What is -17*m(a) + 6*y(a)? -5*a Let f(l) = 7*l - 2. Let a(u) = 8*u - 1. Give -3*a(v) + 4*f(v). 4*v - 5 Let b(w) = w - 11. Let d(t) = -2. What is -2*b(r) + 11*d(r)? -2*r Let a(n) = -n**3 - n + 1. Let b(z) = 4*z**3 - z**2 + 5*z - 5. Let d(q) = q**2 - 7*q + 7. Let l = 0 - 3. Let s = l + 9. Let w be d(s). Give w*b(g) + 5*a(g). -g**3 - g**2 Let w = -20 + 43. Let f = w + -14. Let s(x) be the second derivative of x**3 + 5*x**2/2 - 6*x. Let n(c) = -13*c - 11. Calculate f*s(o) + 4*n(o). 2*o + 1 Let s(l) = -4*l**3 - 11*l. Let n(j) = 5*j**3 + 12*j + 1. Calculate 3*n(q) + 4*s(q). -q**3 - 8*q + 3 Let j(p) = p**2 + p + 1. Let h(w) = -24*w**2 - 21*w - 21. What is -2*h(u) - 42*j(u)? 6*u**2 Let c(r) = -6*r. Let j(w) = w. Let s be -20 - (-12)/9*3. What is s*j(f) - 3*c(f)? 2*f Let w(t) = 5*t**3 + 2*t**2 + 2*t + 2. Let p(i) = 84*i**3 + 35*i**2 + 35*i + 35. Give 2*p(m) - 35*w(m). -7*m**3 Let y be 12/(-5) - (-18)/45. Let h(v) = -v**2 - 8*v - 10. Let x be h(-7). Let c(i) = -2. Let r(u) = -u**2 + 3. Calculate x*c(w) + y*r(w). 2*w**2 Let q(o) = -1. Let s(i) = -2048*i + 2047*i - 4 - 5. What is -6*q(h) + s(h)? -h - 3 Let q(u) = 2*u - 1. Let j(x) = -3*x + 2. Let c(s) = 3*j(s) + 5*q(s). Let w(a) = a**2 + 8*a + 7. Let f be w(-5). Let g(d) = -10*d - 6. Calculate f*c(z) - g(z). 2*z - 2 Let x(a) = 2*a + 7. Let q(m) = 2*m + 8. Let j be (-120)/(-16)*(-4)/6. Give j*q(f) + 6*x(f). 2*f + 2 Suppose 1 - 11 = -5*u. Suppose -5*f + u = 7. Let i(t) = t**2 - t - 4. Let j(c) be the first derivative of -c + 1. Determine f*i(o) + 4*j(o). -o**2 + o Let c(m) = -m**2 + 3*m + 6. Let r(v) = -v**2 + 3*v + 5. Calculate 5*c(w) - 6*r(w). w**2 - 3*w Suppose -2*s = -0*s - 2*w, -3*w + 9 = 0. Let k(b) = -24*b**2 - 14. Let q = 5 - -9. Let x(u) = 5*u**2 + 3. Determine q*x(t) + s*k(t). -2*t**2 Let r(j) = -6*j**3 - 5*j**2 - 5*j + 4. Let a be 70/7*(-2)/4. Let n(b) = 7*b**3 + 6*b**2 + 6*b - 4. What is a*n(z) - 6*r(z)? z**3 - 4 Let z(g) = -4*g**2 + 5*g + 6. Let y be 3 + (-1)/(-2) + (-6)/(-4). Let v(x) = 5*x**2 - 6*x - 7. What is y*v(k) + 6*z(k)? k**2 + 1 Let f(j) = 6*j + 7. Let k(d) = -18*d - 22. Calculate 7*f(x) + 2*k(x). 6*x + 5 Let p(s) = 2*s - 1. Let n(q) = -3*q + 1. Let z(r) = 4*r**2 + 2*r + 2. Let u be z(-1). Determine u*n(d) + 5*p(d). -2*d - 1 Let r(t) = t**2 + 2*t. Let a(q) = 1. Let j(z) = -2*a(z) - r(z). Let b be (1*2)/(6/39). Let g(w) = b + 8*w - 6 - w + 3*w**2. What is 4*g(l) + 14*j(l)? -2*l**2 Let x(g) = 21*g**3 + 9*g**2 + 9*g + 9. Let b(t) be the second derivative of t**5/4 + t**4/6 + t**3/3 + t**2 + 14*t. Give 18*b(r) - 4*x(r). 6*r**3 Let n(b) = -4*b**2 + 6. Let x(r) = -r**2 + 1. Give n(h) - x(h). -3*h**2 + 5 Let y(k) be the second derivative of k**4/4 + 5*k**3/6 - k. Let x(t) = -2*t**2 - 3*t. Suppose 15 = 8*l - 5*l. Give l*x(a) + 3*y(a). -a**2 Let d(v) be the third de
{ "pile_set_name": "DM Mathematics" }
+ z*j**2 and give z. -2480 Express -2*z**4 - 6 + 6 + 3*z - z**3 + 0*z**3 + 158*z in the form k*z**4 + v + j*z**3 + o*z**2 + y*z and give j. -1 Express 76*j - 27*j + 153*j + 104*j + j as t*j + z and give t. 307 Rearrange -n**2 + 2*n - 4*n + 16*n**3 + 48*n**3 + 24*n**3 - 4*n**3 to the form f + u*n + h*n**2 + i*n**3 and give h. -1 Rearrange -7 + w + 11 - 5 - 7 to the form m*w + a and give m. 1 Express 13*k + 8*k - 34*k - 246*k**3 + 15*k in the form l*k + d*k**3 + h + z*k**2 and give d. -246 Rearrange (18 - 18 + 182*p)*(-6 + 2 + 2 - 5 + 4 + 3 + (-2 + 1 + 3)*(0 - 2 + 0))*(2*p - 3*p + 0*p) to u*p + g*p**2 + n and give g. 728 Express 17*q**3 - 9*q**3 - q**2 + q**3 + (5*q**3 + 8*q**3 + 4*q**3)*(1 - 3 + 3) as r + j*q**2 + f*q + l*q**3 and give l. 26 Rearrange -4*z - 3*z**2 + 3*z - z - 3*z**3 + 0*z**3 to the form i*z + l*z**2 + q + p*z**3 and give q. 0 Express -492*b + 0 + 3 + 279*b + b**2 - 1 as k*b + q*b**2 + f and give k. -213 Express -408*d - 3*d**3 + 3*d**2 + 4*d**3 + 1 + 0 + 383*d in the form i*d**3 + c*d**2 + f*d + j and give j. 1 Rearrange -q**2 + 2*q**4 + 7*q**2 - 1 - 283*q + 2*q**3 + 282*q to b*q**4 + k + u*q + m*q**3 + d*q**2 and give d. 6 Rearrange (-87 + 27*r**2 + 87)*(2 + 1106*r - 2 - 1094*r) to the form b*r + z*r**3 + c*r**2 + f and give z. 324 Rearrange -8*m**2 + 22*m**2 + 11*m - 2*m + m**2 to the form p + y*m**2 + o*m and give o. 9 Express (-4*w - 2*w + 4*w)*(-w**2 - 8*w**2 + 0*w**2)*(4 - 10 - 6) as l*w**2 + c*w**3 + n + x*w and give c. -216 Rearrange (5*s**2 + s**2 - s**2)*(29 - 69 + 159) to h + r*s**2 + o*s and give r. 595 Express ((1 + 0 - 2)*(-2 + 4 - 1) - 197 - 250 + 599)*(-m**2 + m**3 + m**2) as u*m**2 + s*m**3 + k + t*m and give s. 151 Express -3 + 0 + 4*k**3 - 5 - 10 - 11 in the form f*k**2 + w*k**3 + h + i*k and give h. -29 Express -109*b**2 + 18 - 118*b**2 + 126 + 226*b**2 as l*b**2 + m + y*b and give l. -1 Rearrange a**2 - a**4 + 15*a**3 - 10*a**3 + 22*a**3 - 4*a**3 + 4 + a to the form s + u*a + g*a**3 + b*a**4 + f*a**2 and give u. 1 Rearrange (-40*y**3 + 99*y**3 + 114*y**3)*(-3*y + y + 4*y) to a*y + k*y**4 + z + j*y**3 + v*y**2 and give k. 346 Rearrange (15 + 18 + 0)*(-1 - 1 + 5 + 2 - 4 + 0 + 3 - 4 + 3 + (-3 + 4 - 3)*(-2 + 0 + 4) - 1 - 3 + 5 + 2 + 3 - 4)*(-4*x + 2*x + 0*x) to m*x + d and give m. -66 Express (k - k + 16*k)*(15*k - 1493 + 1493) as r*k**2 + v*k + t and give r. 240 Express -93 - 94 + 187 - 1175*y as m*y + v and give m. -1175 Rearrange -1586*x**2 - 2565114 + 2565114 to m + h*x**2 + v*x and give h. -1586 Rearrange 2*x + 8*x**2 - x - 5*x + 2753 - 2750 to the form s*x**2 + m*x + d and give m. -4 Express (1 + k - 1)*(154 + 136 - 220)*(-2 + 1 + 2) in the form y + t*k and give t. 70 Express -42*h**2 + 36*h**2 - 264 + 5*h**2 - h in the form x + w*h + o*h**2 and give w. -1 Rearrange (-3 + 2*t + 3)*(-3 + 5*t + 3) - 19*t**2 + 11*t**2 - 8*t**2 to the form b*t + l + q*t**2 and give q. -6 Express (-5089*x + 10694*x - 4567*x)*(3*x**2 - 4*x**2 + 2*x**2) + (-3*x**2 + x**2 + x**2)*(x - x - 2*x) as l*x**2 + m*x + t + k*x**3 and give k. 1040 Express 494 + 676 + 2*g - 1430 + 603 as q*g + l and give q. 2 Rearrange -2*k**3 - 9*k**2 - 8*k**2 + 3*k**3 + 16*k**2 - 3*k**4 to u*k**2 + x*k**4 + d + f*k**3 + m*k and give f. 1 Rearrange (4 + 0 - 2)*(-5*o + 0*o - 53 + 7*o) - 2 + 2 - 2*o to the form s*o + g and give g. -106 Express 14 + 11 - 3*j - 20 - 3*j in the form k*j + l and give k. -6 Rearrange 27*q - 29*q - 6079*q**2 + 5933*q**2 to f*q + u*q**2 + m and give u. -146 Rearrange 19*i + 0*i**2 + 3*i**2 + 2*i**4 + i**3 - 9 - 4*i**2 - 20*i to a*i + t*i**4 + m*i**3 + b + d*i**2 and give b. -9 Rearrange ((2 - 6 + 2)*(-2 + 2 + 2*d) + 2*d - 7*d + 2*d + 3*d - 2*d - 2*d)*(-9 + 9 - 17*d) to l*d + n + j*d**2 and give j. 136 Rearrange -35 + 10 + 20 + 5 + 2393*o to k + b*o and give b. 2393 Rearrange (3 - k - 3)*(-2 + 0 + 0)*(-3*k**2 + 2*k**2 + 8*k**2 + (0 - k + 0)*(3*k + 2*k - 4*k)) to the form r + g*k**2 + p*k + f*k**3 and give p. 0 Express -6 - 26 - 2*t - 26 - 26 in the form z*t + s and give s. -84 Express 14*p - 52*p - 54*p - 74*p in the form t + k*p and give k. -166 Rearrange -1 + x**2 + x + x**4 - 4*x - 3*x**3 - 2*x + 4*x to the form i + f*x + y*x**2 + w*x**3 + c*x**4 and give f. -1 Express -10 + 10 + h + (-2 + 5 - 1)*(2*h - 4*h + h) - 2*h - 4*h + 2*h + (-4 + 1 + 4)*(3 - 7 + 3)*(h + 0*h + 2*h) in the form v*h + l and give v. -8 Rearrange (2 + 5 - 5)*(-16*k**2 - 2*k**2 + 4*k**2) + 0*k + k**2 + 0*k to the form w*k**2 + j + u*k and give w. -27 Rearrange 2 - 23780*a**3 + 9*a + 2*a**4 + 23780*a**3 to y*a**4 + i*a + r*a**2 + j*a**3 + h and give y. 2 Rearrange -14*d**3 + 2*d**3 + 2*d**3 + (-1 - d + 1)*(0 + 0 - d**2) + (-3*d**3 + 2*d**3 + 2*d**3)*(-23 - 29 + 31) to r*d + j*d**2 + c + w*d**3 and give w. -30 Express -3*d + 44*d**3 + d**2 - 95*d**3 + d**4 + 54*d**3 in the form b*d**3 + m + t*d**2 + j*d + o*d**4 and give b. 3 Express (4 + 0 - 6)*(-2*u**2 + 4*u**2 - 4*u**2) - 12*u**2 + 7*u**2 - 52*u**2 + (-u + 5*u - 3*u)*(-3 - 3*u + 3) as b + m*u**2 + t*u and give m. -56 Rearrange 0 + 1 - u**4 + u - 11*u**4 + u**3 + 0*u**4 + 2*u**2 + 0 to the form t*u**2 + y*u**4 + d + v*u + s*u**3 and give d. 1 Express 0*y - 291*y**3 + 0*y + 295*y**3 - 18*y**2 - 1 as w*y**2 + u*y**3 + k + g*y and give k. -1 Rearrange -3*i**3 + i - 505*i**2 - i**4 + 505*i**2 - 7 to q*i + g + m*i**3 + j*i**4 + o*i**2 and give q. 1 Rearrange (f + 0*f + 0*f)*(47 - 358 - 46) to l*f + u and give l. -357 Express (4*r - 14*r - 5*r)*(-23*r**3 + 2 - 19*r**3 + 34*r**3) in the form k*r**2 + f*r + a*r**4 + t + j*r**3 and give f. -30 Rearrange 6*d**2 - 3*d**2 + d**2 + ((0 - 3 + 2)*(2*d - 6*d + 13*d) + (-1 + 3 - 4)*(-13*d - 113 + 113))*(0 + d + 0) to i*d**2 + c + f*d and give i. 21 Rearrange 3*s**3 + 41*s - 2 + 9*s**2 - 45*s + s**2 - 2*s**3 to n*s**2 + t*s + h*s**3 + i and give i. -2 Express (4*z + 3*z - 3*z)*(24 + 90 + 43) as b + l*z and give l. 628 Rearrange -61*d + 18*d - 16*d - 40*d - 5*d to the form n + r*d and give r. -104 Rearrange (-27 - 123 - 61)*(-b**3 + 5*b**3 + 0*b**3) to k*b**2 + x*b + h*b**3 + m and give h. -844 Express -418*w**3 + w - 355*w**2 - 70*w**3 + 1 + 181*w**2 + 174*w**2 in the form p*w**3 + r + q*w + l*w**2 and give p. -488 Express 46*i - 488 + 488 in the form p*i + o and give p. 46 Express 4*r**3 + 131*r**2 - r**3 - 6*r**3 + 6*r**4 - 133*r**2 in the form o + u*r**2 + j*r**3 + l*r + m*r**4 and give u. -2 Express 1347853*h - 1350*h**2 - 1347853*h as b*h**2 + o*h + s and give s. 0 Rearrange (-2 + 0 + 3)*(-46615 + 178*r + 46615)*(1 + 2*r - 1) to l + d*r + o*r**2 and give l. 0 Express x + 44*x**2 - 61*x**2 + 3 - x - 2*x**3 as r*x**3 + p*x + t + n*x**2 and give r. -2 Express (2*v**2 - 3*v**2 - 2*v**2)*(-5*v - 10*v - 35*v) in the form n*v**3 + t + j*v**2 + m*v and give j. 0 Express -396*w - 420*w + 477*w as n*w + v and give n. -339 Express (-3*l + 4*l - 2*l)*(-116*l - 23 + 32 - 9) as h*l + i + q*l**2 and give q. 116 Express (17*v + 18*v + 10*v)*(-4 + 1 + 1)*(4*v - 5*v + 0*v) as f*v**2 + c + q*v and give f. 90 Express (0*v - 5*v + 2*v)*(-7 - 7 + 4)*(12*v + 14 - 14 + (v - 5*v + 3*v)*(-3 + 2 - 1)) as z*v**2 + r*v + a and give z. 420 Express (3*p**2 - 2*p**2 + 0*p**2)*((20*p - 28*p + 35*p)*(-3 + 0 + 1) + (0*p - 2*p + 0*p)*(-1 + 1 + 2)) in the form u*p**3 + f*p**2 + m*p + q and give u. -58 Express 11*q**2 - 2*q**4 + 7*q**2 + 3*q - 12*q**2 + 2 + (-q + 5*q - q)*(-2*q**3 - q + q) as n*q**2 + y*q**3 + k*q + p + l*q**4 and give n. 6 Express -56 + u - 120 + 0*u as c + l*u and give l. 1 Express (2*l**3 - l**2 + l**2)*(9*l - 60 - 64 + 116) in the form c*l + p*l**4 + a*l**2 + j + z*l**3 and give c. 0 Rearrange -4*m + 3*m + 2*m + (34 + 131 + 59)*(-5*m + 4*m - m) to d*m + x and give d. -447 Rearrange ((1 - 6 + 3)*(2*y - 4*y + 3*y) + 5*y - 2*y - 5*y)*(-185 + 7*y + 185) to the form m + g*y**2 + x*y and give g. -28 Express -61*w**2 + 62*w**2 + 3*w**4 + w**4 + 24 in the form a*w + o*w**4 + i*w**2 + x*w**3 + t and give t. 24 Express (3*z - 34*z + 4*z)*(z**2 - 3*z**2 + 3*z**2)*(1 + 0*z - 2 - 3*z) as j*z**2 + i*z + g*z**3 + a*z**4 + v and give a. 81 Rearrange -1 + 1 - x**4 + (1 - 2*x - 1)*(x**3 - x**3 + 2*x**3) + 12*x**4 + 984*x**4 + 1249*x**4 to the form v*x**4 + m*x**2 + q*x**3 + l*x + j and give l. 0 Rearrange -6*z**3 - 7*z**2 + 47049*z - 47052*z + 26*z**2 to w*z + p*z**3 + g*z**2 + d and give g. 19 Rearr
{ "pile_set_name": "DM Mathematics" }
ided by 2. -5519 What is 2240 divided by 1375? 448/275 171 divided by -2170 -171/2170 Calculate 874656 divided by 3. 291552 -184 divided by -38 92/19 Calculate 568386 divided by 63. 9022 Divide 4 by -10032. -1/2508 Divide -145816 by -6628. 22 -11000 divided by -42 5500/21 Calculate -464576 divided by -1904. 244 Divide 1276140 by 42538. 30 52292 divided by -4 -13073 -333468 divided by -314 1062 Calculate -12192 divided by -2. 6096 9 divided by -4467 -3/1489 What is 3580 divided by -46? -1790/23 What is 83 divided by -30? -83/30 Divide -518 by -91. 74/13 Calculate 17075 divided by 4. 17075/4 What is -2396 divided by -238? 1198/119 1 divided by 104031 1/104031 -6410 divided by 5 -1282 What is -33 divided by -4842? 11/1614 What is -187 divided by -54? 187/54 Divide -15 by 2274. -5/758 Calculate -899279 divided by 1. -899279 Calculate 7 divided by 2021. 7/2021 Calculate 239260 divided by -59815. -4 214088 divided by -15292 -14 3 divided by -392094 -1/130698 Calculate 296929 divided by 1. 296929 Calculate 152908 divided by 602. 254 What is -54207 divided by 9? -6023 Calculate 4713 divided by -1571. -3 Divide -1037388 by -1626. 638 Calculate -1625612 divided by -4. 406403 3454183 divided by 2 3454183/2 Divide 69458 by 69458. 1 What is 484560 divided by -48456? -10 Calculate 6169 divided by -2. -6169/2 Calculate -759 divided by 25. -759/25 Calculate -435268 divided by 3. -435268/3 Divide 61040 by -7. -8720 Calculate -1229061 divided by -409687. 3 Calculate 116 divided by 1201. 116/1201 What is 4687758 divided by 6? 781293 What is -30046 divided by -166? 181 Calculate -1843656 divided by -4. 460914 Calculate 1289449 divided by 8009. 161 Calculate -76090 divided by 35. -2174 1468 divided by 5 1468/5 Calculate -9654924 divided by -6. 1609154 Calculate 3862110 divided by 772422. 5 What is -917 divided by 346? -917/346 -278517 divided by 3 -92839 Divide -1913578 by -1. 1913578 What is -1366 divided by -11? 1366/11 Divide -236855 by 6. -236855/6 Divide 43810 by 4. 21905/2 What is 3 divided by -31450? -3/31450 Calculate -24 divided by 396. -2/33 Divide -5380680 by -6. 896780 Calculate -1 divided by -7726. 1/7726 Divide -17796 by 18. -2966/3 5 divided by -1154768 -5/1154768 -1184960 divided by -2116 560 Divide 260475 by 1. 260475 -20 divided by -255 4/51 Calculate -3 divided by -3491. 3/3491 -9700740 divided by -6 1616790 Calculate 136 divided by -752. -17/94 Divide 641 by 2690. 641/2690 What is -1376460 divided by -91764? 15 Calculate 3393313 divided by -3817. -889 Divide 1354968 by -25092. -54 Divide 224418 by 4. 112209/2 Calculate -6 divided by 156680. -3/78340 Divide 758964 by -5. -758964/5 What is -73 divided by -606? 73/606 115980 divided by -38660 -3 Divide 145 by -29. -5 Divide -9 by -20652. 3/6884 268 divided by 2598 134/1299 -11088 divided by 7 -1584 Calculate -2040450 divided by -5. 408090 Divide -5 by -5014. 5/5014 Calculate -2253530 divided by -5. 450706 Calculate 30690 divided by 990. 31 Calculate 2133 divided by -254. -2133/254 What is 502867 divided by -37? -13591 What is -2461 divided by -35? 2461/35 -9442 divided by -8 4721/4 Calculate 1490 divided by -525. -298/105 What is -5627 divided by -5627? 1 Calculate -12 divided by 14431. -12/14431 What is -739632 divided by 12? -61636 Calculate 1213 divided by 257. 1213/257 Divide -23 by 13951. -23/13951 What is -40635246 divided by 6? -6772541 What is -17550 divided by -390? 45 What is 1117798 divided by 31? 36058 1055690 divided by -2 -527845 -77528 divided by -881 88 -389724 divided by -1382 282 What is 5 divided by -2698? -5/2698 What is -1577 divided by 1? -1577 Divide -6899292 by -2. 3449646 Divide -219760 by -4. 54940 Calculate -1 divided by 1721. -1/1721 Calculate 0 divided by 6375. 0 What is -2 divided by -11941? 2/11941 Divide 39325 by 1573. 25 1131876 divided by -282969 -4 What is -6847 divided by -9? 6847/9 Calculate 51687 divided by 9. 5743 What is 87 divided by -714? -29/238 Calculate 480 divided by -1415. -96/283 Divide 431672 by -4. -107918 Divide -4 by -15060. 1/3765 Calculate -3997530 divided by 1. -3997530 Calculate 6131 divided by -5. -6131/5 Divide 240 by 4. 60 2469 divided by 179 2469/179 -375514 divided by 2 -187757 Calculate -60784 divided by 524. -116 What is -1933 divided by -6? 1933/6 What is -138 divided by 4? -69/2 483664 divided by -1634 -296 279872 divided by -69968 -4 Divide 213495 by -2. -213495/2 Divide -8772 by 51. -172 What is -142473 divided by 142473? -1 Calculate -26200 divided by 3275. -8 8779 divided by -28 -8779/28 What is 5 divided by -66629? -5/66629 What is 36680 divided by -5? -7336 What is -3080 divided by -4? 770 Divide 160599 by -51. -3149 Divide 14243 by 503. 14243/503 Divide -12 by -27. 4/9 Calculate -85617 divided by 3. -28539 -91680 divided by 4 -22920 -63002 divided by 63002 -1 Calculate 12 divided by 180584. 3/45146 What is 406221 divided by 4? 406221/4 -3 divided by -263 3/263 Divide 70098 by -7. -10014 Divide -32988 by 12. -2749 What is 295776 divided by -4? -73944 Divide -119002 by -26. 4577 -6517 divided by 37 -6517/37 What is 78 divided by -48847? -78/48847 Divide 3 by -306402. -1/102134 What is -7642 divided by 429? -7642/429 Calculate 1509218 divided by -6. -754609/3 Calculate -2 divided by -4361. 2/4361 Divide -10520 by -22. 5260/11 Calculate -983019 divided by 3. -327673 What is 9327 divided by -8? -9327/8 What is -391374 divided by 5? -391374/5 What is -32 divided by 1003? -32/1003 Divide -1 by 80010. -1/80010 What is -121800 divided by 15? -8120 1740 divided by 3 580 Divide -346137 by 15. -115379/5 -15212 divided by -51 15212/51 -5447668 divided by -137 39764 Divide 131184 by -18. -7288 What is 3449657 divided by 1? 3449657 Calculate -1272 divided by -30. 212/5 What is 2679 divided by -10? -2679/10 Divide -20 by -5. 4 What is -1122046 divided by -10294? 109 What is 436942 divided by 218471? 2 What is -896768 divided by 62? -14464 Divide -195602 by -11. 17782 -3 divided by 786905 -3/786905 Calculate -54 divided by 14081. -54/14081 Calculate 1094040 divided by 547020. 2 Divide -6465 by 3. -2155 What is -31768 divided by -19? 1672 22120 divided by 35 632 Calculate 306 divided by -34. -9 -1592 divided by 4 -398 129200 divided by -4 -32300 What is -58 divided by -2180? 29/1090 0 divided by -1379211 0 What is 37665 divided by -15? -2511 Divide -226906 by 2. -113453 -167008 divided by -544 307 Divide 14184318 by 6. 2364053 -760 divided by -3672 95/459 Calculate 1011752 divided by -2842. -356 -961215 divided by -3 320405 Divide -37246 by -79. 37246/79 Divide -52 by -2404. 13/601 What is -4 divided by -1433060? 1/358265 Calculate 28884 divided by -12. -2407 16200 divided by -324 -50 818055 divided by 441 1855 Calculate -2630 divided by -12. 1315/6 Divide -18897 by 6299. -3 Calculate 1493520 divided by -14. -106680 Divide 15167 by 15167. 1 -5 divided by 185378 -5/185378 Divide 81 by 1871. 81/1871 What is -2101 divided by 7? -2101/7 Calculate 117756 divided by 9. 13084 -3161 divided by 29 -109 Divide 1337 by -3. -1337/3 Calculate -42380 divided by -13. 3260 Calculate 278745 divided by -5. -55749 Divide -65901 by 33. -1997 What is -24 divided by -1449? 8/483 3127353 divided by 2 3127353/2 What is 176090 divided by 35218? 5 What is -83949 divided by -27983? 3 2 divided by -207307 -2/207307 What is 90940 divided by -4? -22735 Divide 3484 by -9. -3484/9 0 divided by -21468 0 -166275 divided by -739 225 Calculate -330844 divided by -82711. 4 What is -64350 divided by 195? -330 9 divided by 24413 9/24413 Divide 391 by 1564. 1/4 Calculate 193612 divided by -1. -193612 Divide 45465 by 105. 433 Calculate -4355 divided by 1. -4355 Divide -1125 by 123. -375/41 Divide 53088 by 48. 1106 Calculate -219 divided by 15225. -73/5075 Divide -44684 by 11171. -4 Calculate 30 divided by 76. 15/38 What is 694590 divided by 5070? 137 Divide 5 by -9156. -5/9156 What is -716281 divided by -37699? 19 What is 29745 divided by 5? 5949 Calculate 4841640 divided by -60. -80694 Divide 6836 by 3418. 2 Divide -15336 by -1704. 9 What is 2248675 divided by 172975? 13 What is 2918 divided by 926? 1459/463 What is 74124 divided by -9? -8236 Divide 14054 by 182. 7027/91 Calculate -463 divided by -6. 463/6 Divide 766772 by -4. -191693 Divide 5 by 10759. 5/10759 Calculate 457 div
{ "pile_set_name": "DM Mathematics" }
18. Solve -o = 5*t - 5*p, b = -t + 2*p - 5 for t. 2 Let u(h) = h**3 - 64*h**2 - 52*h - 842. Let o be u(65). Solve o*i - s + 18 = 0, 10*s - 13*s + 14 = -i for i. -5 Let q be (-7 + 25/5)*40/(-16). Solve 6 = 4*h - x + 14, -4*x = q*h + 10 for h. -2 Let n be 13/(-13)*(1 - 1). Solve 5*b + 3*f - 19 = n, 2 = 2*b + 21*f - 17*f for b. 5 Let a be (-164)/574 - (-69)/21. Solve -4*x - 3 = -3*x - 3*c, x - 4*c = -a for x. -3 Let m = -33271 + 33276. Let s be 5 - (-1 - -3)/(-2). Solve 4*a - 3*c - 12 = 0, -2*a + s + 0 = m*c for a. 3 Let u = 2526 - 2511. Solve h = -5*y - u, -5*h + 3*y + 27 = -10 for h. 5 Let q(j) = j - 17. Let f be q(16). Let u be (1 - f) + (18 - 48). Let r = 32 + u. Solve -4*p - r + 2 = x, -5*x - 2*p + 8 = 0 for x. 2 Let a(f) = -2*f + 24*f**3 + 8*f**2 + 11 - 25*f**3 + 1 + f. Let c be a(8). Solve c*t = 3*b + 6, 0*b + 5*b = 10 for t. 3 Let w be 46 - 44 - (-7 + 1). Let a = -17 - -22. Let g = a - 3. Solve 0 = 5*t - g*t - 3*n + 12, 3*t = -2*n + w for t. 0 Let j = 11 + -6. Let x = 7 - j. Suppose 3*l + 33 = 4*t + 40, 10 = -5*t + 4*l. Solve p - 20 = -3*p + 4*u, x = 2*p + t*u for p. 3 Let w = -352 - -380. Suppose w*z - 33*z + 20 = 0. Let i be (-57)/(-12) + 2/8. Solve -y = i*k - 3*y + 6, -z*y = 3*k - 12 for k. 0 Let t be (-13 - -9)*-1 - -1. Solve m + 4*n - 29 = -t, 0 = -4*m - 5*n + 41 for m. 4 Let z = 3045 + -3042. Solve 2*c + 19 = 5*a, -4*a + a - z*c + 24 = 0 for a. 5 Let s(i) = i**3 - 8*i**2 + 8*i - 10. Let u be s(7). Let n = -176 + 102. Let x be u/(-8) + n/(-16). Solve -y + 12 = x*v, -v + 3*y - 2*y = 0 for v. 2 Let u(q) = -14*q + 117. Let d(b) = -14*b + 124. Let p(x) = 5*d(x) - 6*u(x). Let i be p(6). Solve -5*t + i*z = 1 - 4, -3*t - z = -4 for t. 1 Let t be (-5)/((1 + 0)*-1). Let q = 6087 - 6085. Solve 0 = -3*i - t*d + 16, i = -i - q*d + 4 for i. -3 Let p(m) = 27*m + 57. Let u be p(5). Let g = u - 189. Solve -2*i = 2*d - 14, -2*i + 3*d - g = 3 for i. 3 Let i be (39 - (3 + -6))*5/(-5). Let m be (-28)/i*(-2)/4*-30. Let f be -4 - -6 - 2*1. Solve 3*x + 5 + f = 2*v, 2*v - m = -2*x for x. 1 Suppose -89 = 3*b - n - 95, -b - 4*n = -2. Solve -b*p + 5*t = -20, 2 = p + 3*t + 3 for p. 5 Suppose 5*g = -4*j, 11 = -4*g - 5. Let f = -1168 + 1185. Solve 0 = -v - 3*a - j, 0 = -v - 4*v - a + f for v. 4 Suppose -5*v - 81 = -2*g - g, 3*g = -v + 81. Suppose -g = 4*x - 87. Suppose j + 4*j - x = 0. Solve 2*h - 12 = 5*f - j, 2*f = 3*h - 8 for f. -1 Suppose -22*q + 2*n = -18*q - 6, 4*q - 11 = n. Solve 5*i - 3*f + 10 = 0, 0*i - q*i + 3*f = 11 for i. 1 Suppose 1180 + 2084 = -16*j. Let c = j - -206. Solve 2*a - b = 6 + 4, -4*a = c*b - 20 for a. 5 Suppose a - 212 = -55. Let t = a + -149. Let s = 8 - 5. Solve -9 = -s*q - 0, -n - t = -3*q for n. 1 Suppose 2*o - 7*o = -13*o + 32. Solve 4*b + j - 4*j = -16, 16 = -4*b + o*j for b. -4 Let u = -5654 - -5656. Solve 9*h + 2*x + 2 = 4*h, 2*x + u = -4*h for h. 0 Suppose 2*k + 44 = 3*g, -4*g - 106*k + 101*k + 28 = 0. Solve -5*i + 3*b + 61 - 70 = 0, -g = 5*i - 4*b for i. 0 Let b be -2 - (12/(-22) - (497/77 + -3)). Solve -18 = 3*d + b*s, -5*s + 20 = -2*d - 9*s for d. -4 Suppose 5*d + m - 7 = 22, m - 5 = -d. Suppose d*k = k. Suppose k*x + 3*x = 0. Solve -h + 3*p = 3*h - 5, x = -2*h - 3*p + 25 for h. 5 Suppose -12*x = -11*x + 29. Let u = -23 - x. Solve w + 2*r = 2*w + 1, 0 = 3*w - 3*r + u for w. -3 Let f = 24893 + -24890. Solve 5*g = f*q + 37, -3*q - 11 = g - 4 for g. 5 Let k(f) = -7*f + 194. Let p be k(27). Suppose -6*j = -4*j - 6, p*i = 2*j + 69. Solve 8*h + 3*b = 7*h + i, 3*b = -4*h + 24 for h. 3 Let d = 33 - 22. Suppose 9*w + 12 = d*w. Suppose 0 = 2*b - 37 + 33. Solve -3*j + b*j - w = -u, j = -1 for u. 5 Let t(g) = 24*g**2 + 2*g + 2. Let f be t(-2). Let l(d) = 4*d**2 + 43*d - 217. Let z be l(5). Let o = z - f. Solve b = -5*x + 2*b - 13, o = 4*x + 4*b for x. -2 Suppose -q - 3*k + 8 = -0*q, -13*k = -4*q - 18. Solve -3*i + 1 = -m, 0*i + 12 = q*m + i for m. 5 Suppose -7*u - 7174 = -41*u. Let f = u + -204. Solve -f = -3*x + 5*t, 0 = -x - 4*t - 1 - 8 for x. -1 Let x be 23/8 + (178 - 181) - 33/(-8). Solve 0 = x*r - 4*u - 24, -3*r + u + 8 = -0 for r. 1 Suppose -882 = 5*r - 8*r. Let b = r - 291. Solve -4*z + t = 12, -b = z - 4*t - 15 for z. -4 Let n be (148/(-10))/((-20)/(-400)). Let f be (n/(-518))/(1/7). Solve 0 = -s - 4*t + 1, 19 = f*s - 3*t + 4*t for s. 5 Let m = 636 - 438. Suppose 0 = 201*y - m*y - 18. Solve 0 = -h + 2*t, 6*h + y = 2*h + 5*t for h. -4 Let j be (16 + -8 - 8) + (1 - 0). Solve -2*r + 1 = x - 5*r, 0 = 3*x - 7*r - j for x. -2 Let b = 39643 - 39637. Solve -b = -2*n - 72*z + 75*z, 0 = -2*n - z - 10 for n. -3 Let a be -27*(260/117)/(-10). Solve y - a = 5*j, 0 = 2*y - 2*j - 1 + 5 for y. -4 Suppose c + 11 = -15*h + 19*h, 3*c + 5*h - 35 = 0. Solve 4*o + c*i - 22 = 0, 3 + 13 = 4*o + 2*i for o. 3 Suppose -2*n + 12 = 2*c, 2*n = -45*c + 44*c + 10. Solve -3*v + 9*u - 14*u = c, -5*v = 2*u - 3 for v. 1 Suppose -1 - 3 = -c. Let a(n) = -7*n + 200. Let t be a(28). Suppose 2*q - 4 = t*o, q - 6 = 15*o - 17*o. Solve -4 = 4*j - 4*w, c*w + o = -3 for j. -2 Suppose 0 = x + 2*t - 1, 5*x - 2*t - 18 = t. Suppose -h + 4*o = -0*h - 1, -5 = -5*h + 2*o. Solve 4*c = 3*a + h, 5*c + 0*c = x*a - 1 for a. -3 Suppose 0 = 24*n - 23*n. Solve 2*g + 3*l + 15 = n, 4*g - 2*l + 10 = -4*l for g. 0 Let o(h) = 3*h**3 - 7*h**2 + h + 19. Let r(d) = 2*d**3 - 7*d**2 + 19. Let l(c) = -3*o(c) + 4*r(c). Let j be l(-6). Solve 5*w + 0 = a + j, 4*w = -a - 1 for a. -1 Let g(l) = 125*l - 3559. Let w be g(29). Solve 63*h = w*h + 2*z + 18, 5*h + 5 = 5*z for h. -4 Let y(z) = 2*z**2 - 6*z + 6. Let k be y(3). Let x = 14 - 11. Suppose 0*a + 6 = x*a. Solve 0 = 5*o - 2*m - 10, -a*o - o - m + k = 0 for o. 2 Let q = 15 + -7. Suppose 9*u - q*u = 4. Let p be u/8*14 - 6/2. Solve -2*z = -3*h - 4, p*z + 0 = 5*h + 8 for z. 2 Suppose 2545 = -14*v + 2601. Solve 3*w + 0*w = -r, v*r + 16 = 4*w for w. 1 Let j be 4 - 11/22 - (-1)/(-2). Solve 2*x - j = l + 3, -3*x = -l - 8 for l. -2 Let d = -205 - -429. Let f be ((-10)/(-7))/(8/d). Solve -5*c = -4*q - 36, -2*c - 3*c + f = -5*q for c. 4 Suppose 0 = -5*y - 2*s + 336, 3*s - 339 = -y - 4*y. Suppose -15 - y = -27*x. Solve -5*q - 2*f - 5 = 0, -4*q + q + f = x for q. -1 Let s(z) be the first derivative of z**4/4 - 5*z**3/3 + 3*z**2 + 3*z - 68. Let x be s(3). Solve x*h - 3*j - 19 = -4, -2*j + 2 = 2*h for h. 3 Suppose -5*i + 19 = 3*j, i + 11 = -i + 5*j. Let k = i - 0. Let s be ((-290)/140 + (-1)/2)/((-222)/518). Solve -x + 3*b + 16 = -s*x, -8 = 2*x + k*b for x. -2 Let x(b) = -113*b + 810. Let i be x(7). Solve 2*f + 16*g - 23 = i*g, 10 = -2*g for f. 4 Let p be 85 - (-16)/(-3 + 7). Suppose p*k + 55 = 94*k. Solve 3*f - 1 = w, -4*w - 3*f = -0*f - k for w. 2 Suppose -4*h + 8 + 14 = -5*y, -3*h - 3*y + 3 = 0. Solve 4*a + 2 = 2*w, -4*a = -0*w - 3*w - h for w. -5 Let r be -18*(-12)/56 + 215/35 + -6. Solve 0 = 4*m, 5*b + m + r*m + 15 = 0 for b. -3 Suppose 2*d - 5*r - 58 = 0, 0 = 3*d - r + 2*r - 53. Let t = -625 - -627. Solve m + t + 2 = -f, -4*m + 3*f + d = 0 for m. 1 Suppose 0 = h + 3*t - 27, 4*h - t - 109 = -1. Suppose -h*y + 28*y = 89. Let s = 94 - y. Solve 2 + 3 = 5*l + 5*a, -5*l = -s*a - 5 for l. 1 Suppose 2*y + 4*q = 30, 7*q = y + 5*q + 9. Solve 2*g = y*z + 10, -g - z = -3*z - 6 for g. 2 Suppose -9 = -3*t - 30. Let i be 4/(-16) - (350/8)/t. Solve 5*g + 35 = -5*v, -2*v = g + 5 + i for v. -4 Let u be -10*((-72)/5)/8. Let x = u + -16. Solve -3*g = 2 - 8, 0 = x*v + 5*g for v. -5 Let k be (-152)/(-3)*(2 - 85/20). Let c = k + 116. Solve c*l = n + 7, 0 = -l - n - 0 - 1 for l. 2 Let c be (-3473)/(-138) - 2/12. Suppose 33*q - 16 = c*q. Suppose -4*f = -f - 9. Solve -2*t = y + 11, -q*t - 3*y - 12 = -f*t for t. -3 Suppose 0 = -20*l + 23*l - 1380. Let r be (-3)/(18/(-16)) + l/(-690). Solve 0 = 5*b, b - 7 = 5*f - r for f. -1 Suppose 3*j = 30 + 6. Suppose -65 = j*p - 233. Solve 2*q - 4*v = p, -3*q = -4*q - 2*v - 5 for q. 1 Let f be (-42)/(-4) + 1/(-2) + 0. Let u be (-8)/f*((-9)/(-6) + -4). Suppose -5*s = -4*s - u. Solve -3*i + 18 = 3*g, -2*g = 2*i + s*i - 22 for g. 1 Let z = 11 - 10. Let t be (-28)/(-6)*6/7. Solve -k + 0 - 2 = m, z = -t*k + 3*m for k. -1 Let s(n) = n**3 + 15*n**2 - 11*n - 345. Let z be s(-14). Solve -5*l = -0*i + 4*i - 1, 0 = -z*i + 5*l - 10 for i. -1 Suppose 0 = 11*q - 3*q + 56. Let y(z) = z**2 + 6*z - 16. Let o be y(q). Let i be ((-105)/14)/(o/6). Solve -i*d = -0*d -
{ "pile_set_name": "DM Mathematics" }
. Put x, -0.3, f in descending order. f, -0.3, x Suppose 73*q + 16 = 77*q. Sort -4, q, 13, -5 in increasing order. -5, -4, q, 13 Let c = 44 + -44. Sort -5, 3, c, 4 in descending order. 4, 3, c, -5 Let b(r) = r**3 - 7*r**2 + 6*r - 3. Let k be b(6). Let t = 13 + -10. Suppose 0 = -t*j + 3*v + 3 + 15, -5*v = 2*j + 2. Sort -1, k, j in decreasing order. j, -1, k Suppose -45 + 48 = -s. Sort -27, 5, s in ascending order. -27, s, 5 Let y be -1 + 1*(-11 - -2). Let q be (-1)/((2/y)/(-1)). Let a = q - -10. Sort -1, 4, a in descending order. a, 4, -1 Suppose -2*j - s = 4, 5*s - 3*s + 8 = 0. Put -1, 5, 3, j in descending order. 5, 3, j, -1 Let z = -9 - -5. Sort z, 0, 3. z, 0, 3 Suppose -x - 11 - 17 = 0. Let d be x/8 - 2/(-4). Sort 2/9, d, 1 in descending order. 1, 2/9, d Suppose 3 + 7 = 2*l. Sort -1, l, 0, -2 in decreasing order. l, 0, -1, -2 Suppose -3*g + 7 = 1. Suppose 0 = -4*q + 4*l - 8, 0*q - 5*l = g*q + 11. Suppose -20 = 4*m + s, 0 = -6*m + m - 5*s - 40. Sort q, m, 1. m, q, 1 Let s = 221.2 - 221. Let t = 724/11 + -66. Sort s, t, -8. -8, t, s Suppose 5 = -3*j - 7. Sort 2, 7, j in increasing order. j, 2, 7 Let c = 6 + -8. Let s = -0.6 + 0.4. Put c, s, 0.4 in descending order. 0.4, s, c Suppose 4*r = -5*o - 10, -5*o + 35 = -4*r + 5. Suppose -8 = -o*n - 2. Suppose -s + 9 = 5*j, -11 = -0*j - n*j + 5*s. Sort j, 3, -5 in increasing order. -5, j, 3 Let r(q) = -q**3 + 10*q**2 - q + 8. Let y be r(10). Put 3, -6, y, 1 in ascending order. -6, y, 1, 3 Let c = 60 - 67.3. Let k = c - -7. Put -2/7, k, -2 in descending order. -2/7, k, -2 Let z = -3.56 - -4.6. Let i = 2.96 + -3. Let a = i + z. Sort -1, 3, a. -1, a, 3 Let l = 10.498 - 0.098. Let t = -10 + l. Put 3/5, t, 2 in descending order. 2, 3/5, t Suppose 2*t - 4 = 6*t. Let g = t - -4. Suppose 0 + g = s + k, -5*s + 35 = -5*k. Put 4, 3, s in ascending order. 3, 4, s Suppose 0 = -5*v - 25 - 15. Let l be -6 - -3 - 22/v. Put l, -1, -7 in ascending order. -7, -1, l Let k(l) = l**3 + l**2 + l - 5. Let w be k(0). Suppose -8 = -3*a - 2*m, 4*a - 5 = 3*m + 17. Suppose 5*r + 4 = a*r. Put w, r, 2 in decreasing order. 2, r, w Let g = 12 - 14. Sort g, 0, 18 in descending order. 18, 0, g Let h = -15 + 31. Suppose -3*s = -32 - h. Suppose s = -5*t + t. Sort t, -1, 5 in descending order. 5, -1, t Let s be 1 - (-1 - 0/(-2)). Let h = -16.6 + 17. Sort h, s, 0 in increasing order. 0, h, s Let z = 74.7 + -75. Sort -0.4, z, -4, 5. -4, -0.4, z, 5 Let b be (-15)/(-6)*(-8)/(-10). Suppose -14 = -2*q - 2*f, 3*q + 5*f - b - 23 = 0. Put q, 2, 4 in decreasing order. q, 4, 2 Suppose d - 4*d = -5*s + 22, -3*s + 5*d + 10 = 0. Sort -3, s, 4. -3, 4, s Let h = 0 - 2. Sort h, 5, 3 in increasing order. h, 3, 5 Suppose -5*l - 20 = 5. Sort -3, l, -2 in ascending order. l, -3, -2 Let c be (-1*3)/(1*-2). Let v = -253/26 - -120/13. Put c, v, -6 in ascending order. -6, v, c Let x be 1*3*(-1)/3. Put 2, -3, x, -2 in decreasing order. 2, x, -2, -3 Let u = -4 - 0. Suppose 0 = 4*k - 16, -3*k - 5 = -s - 4*k. Sort 4, s, u in ascending order. u, s, 4 Let a be 2/7 + 66/14. Sort 0, 1, a in decreasing order. a, 1, 0 Let y = -7.9 - -8. Let z = 0.1 - 0.1. Let u = z + y. Sort -2/3, u, 0.2 in increasing order. -2/3, u, 0.2 Let j be ((-92)/(-6))/((-6)/(-9)). Suppose -3*g + g + 5*h - j = 0, -2*g = -4*h + 18. Suppose 0 = -0*a + 3*a - 12. Sort g, 0, a in ascending order. 0, g, a Let k = -2 - -4. Let g(b) = -b**3 + 3*b**2 - b - 1. Let c be g(k). Let r = 1 + c. Put -2, r, -5 in increasing order. -5, -2, r Let o(w) = w**3 - 7*w**2 - 8*w + 12. Let h be o(8). Let a be 1/2*(h + -10). Let q be (-4)/10 - (-39)/(-15). Put q, a, 5 in descending order. 5, a, q Let p = 15 - 17.2. Let w = -3 - p. Let r = -0.3 - w. Put -1, 0.3, r in decreasing order. r, 0.3, -1 Let x be 3 - 2/1 - 2. Suppose 0 = -3*s + 3*g + 15, -2*g + 4 = -0*s + 5*s. Let o be (5/s)/(2/4). Sort x, o, -0.3. x, -0.3, o Let c(x) = -5 + x - 6 + 2. Let f be c(7). Put f, 0, -4 in increasing order. -4, f, 0 Suppose 10 = -l + 2*s + 3*s, -2 = -3*l - s. Let n(h) = -h + 1 + 2*h + 5. Let x be n(-7). Sort -5, l, x in increasing order. -5, x, l Let n be 17/(-3) - (-2)/(-6). Let t be n/(-2) - (-4)/(-1). Sort 2, t, 1 in increasing order. t, 1, 2 Let k be 2/(-8) - 34/(-40). Suppose 4*g + 2*l = -0*l + 52, 0 = -2*l - 4. Let f = -14 + g. Sort k, -3, f in descending order. k, f, -3 Suppose 0*a + 16 = -4*a. Suppose -2*s + s = 3. Put 1, s, a in increasing order. a, s, 1 Suppose 0 = 2*a + s + 1, 0 = -0*a + 3*a + s. Let o = 4 + a. Sort o, 4, 2 in descending order. o, 4, 2 Suppose j + 0*j + 3*d = -16, -26 = j + 5*d. Put 0, j, 2 in ascending order. j, 0, 2 Let y = -18 - -18.2. Sort 5, y, 1/6 in descending order. 5, y, 1/6 Let k be -12*3/(-6) + -2. Sort 2, 2/11, k in decreasing order. k, 2, 2/11 Let j = 0.85 + 0.05. Let q = 1 - j. Let k = 4.9 + q. Put -4, k, -3/4 in decreasing order. k, -3/4, -4 Suppose -11 = 2*n - 33. Let p be 2/n - (-10)/(-55). Put -5, p, 4 in descending order. 4, p, -5 Let h = 0.1 - -0.4. Let v(p) = 2*p - 2. Let b be (-24)/(-9) - 2/(-6). Let x be v(b). Sort x, 0, h. 0, h, x Let c = -1.6 + 2. Let y = -307 - -307.3. Put c, y, 0 in decreasing order. c, y, 0 Let k(p) = p**2. Let t = -3 + 4. Let w be k(t). Put 5, 6, w in decreasing order. 6, 5, w Let g = -63 + 68. Suppose 2 - 6 = 2*v. Sort v, g, -5 in descending order. g, v, -5 Suppose -3 = -5*l + 3*q, -2*l = -5*l + 3*q + 3. Suppose -3*w + 6 = -l*w. Let x(p) = -p**3 - 7*p**2 + p + 4. Let s be x(-7). Put w, s, -5 in increasing order. -5, s, w Let u be 1*((1 - 1) + -1). Suppose 2*a = a. Sort a, u, -3. -3, u, a Suppose 32 - 6 = 2*c. Suppose -4*t - 3 + 35 = -4*n, -c = -5*t - 4*n. Let g(k) = -k**2 + 3*k + 1. Let l be g(3). Sort l, -5, t. -5, l, t Suppose 5*q - 10 = 5*t, -2*t = -3*q - q. Suppose 23 = 3*j + 5*x, 4 - 1 = -5*j + 2*x. Put q, j, 3 in descending order. 3, j, q Let o = 10 - 8. Sort -4, 5, o in increasing order. -4, o, 5 Let j = 0.2 - -1.9. Let h = 2 - j. Put h, 3/4, 6 in increasing order. h, 3/4, 6 Suppose 4*k + 3*c = -16, k - 5*c = -0*k + 19. Let a = -5 - -8. Let x = -1.2 + -2.8. Put a, k, x in descending order. a, k, x Let z = 6.03 + -6. Let h = z - -0.97. Put 5, -0.1, h in descending order. 5, h, -0.1 Let k = 8 - 4. Let x be ((-1)/2)/((-2)/k). Put -1, x, 0 in descending order. x, 0, -1 Let p be (-12)/5 + (-4)/(-10). Let u be 8/6*75/50. Put 1, p, u in descending order. u, 1, p Suppose 6*r + 27 = 15*r. Suppose 9 = -2*y + 1. Sort y, r, 1. y, 1, r Let c be (-20)/30 - (-2)/30. Put 10, c, -2/3 in descending order. 10, c, -2/3 Let t = -0.05 + -0.35. Let i = t + -0.6. Let m = -1.1 - 2.9. Put m, -0.1, i in decreasing order. -0.1, i, m Let l = -9.1 - -9. Sort -1/2, 4/5, l in decreasing order. 4/5, l, -1/2 Let t = -42/5 + 41/5. Suppose 2*l = -6, -6*l - 7 = -4*r - 5*l. Let a = 16.2 + -16. Sort t, r, a. t, a, r Let f be (-39)/(-54) - 6/27. Let m = 0.142 - 14.542. Let w = -14 - m. Put f, 1/4, w in ascending order. 1/4, w, f Let u = 0.3 - -0.1. Let a = -2/207 - 65/414. Put -2, u, a in descending order. u, a, -2 Suppose -4*o = -10*o + 12. Sort 10, -1, o, 4 in decreasing order. 10, 4, o, -1 Let f = -10 + 9. Let h = f - 1. Sort 0.4, 3, h in decreasing order. 3, 0.4, h Let x = 21.86 - 21. Let p = -0.14 - x. Put -0.4, 4, p in descending order. 4, -0.4, p Let f = -5 + 7. Suppose 0 = -5*i - 5*j - 40, 0 = 2*j - 3 + 11. Let l = -1 - 2. Put l, f, i in descending order. f, l, i Let l = -6 - -7. Put -1, -2, l, 5 in ascending order. -2, -1, l, 5 Let p = -4.05 - -0.05. Sort p, -2, 0.6 in descending order. 0.6, -2, p Let g = -3 - 17. Let r be (-8)/(-30)*g/(-8). Sort -1/5, 4, r in decreasing order. 4, r, -1/5 Let i = -71187/5 - -14330. Let l(b) = 19*b + 2. Let c be l(-5). Let a = i + c. Put -1, 0.2, a in decreasing order. 0.2, a, -1 Let k(h) = -h**2 + 7*h + 7. Let m be k(8). Let a(v) = 2*v**2 - 29*v + 40. Let l be a(13). Let w be ((-10)/(-8))/(2/(-8)). Sort w, l, m in ascending order. w, m, l Let b = 4 + 1. Put 1, b, -3 in decreasing order. b, 1, -3 Let d = -0.04 + 14.04. Let j = 13 - d. Let g be 10/(-18)*(-4)/(-10). Sort g, 1, j in descending order. 1, g, j Let u(p) = -3*p + 17. Let v be u(6). Sort -9, -2, v. -9, -2, v Suppose -2*k + 3*d = -d - 14, d + 5 = 0. Put 1, 5, k in increasing order. k, 1, 5 Let k = -8 + 10. Let m be (-4)/1*1/6. Put 2/5, m, k in ascending order. m, 2/5, k Let k(y) = y**2 - 9*y - 12.
{ "pile_set_name": "DM Mathematics" }
many minutes are there between 3:00 PM and 3:19 PM? 19 How many minutes are there between 6:42 PM and 7:49 PM? 67 What is 394 minutes before 5:05 PM? 10:31 AM What is 596 minutes before 9:09 AM? 11:13 PM What is 572 minutes before 7:26 PM? 9:54 AM How many minutes are there between 3:01 AM and 12:20 PM? 559 What is 300 minutes before 3:54 PM? 10:54 AM What is 191 minutes after 4:03 PM? 7:14 PM How many minutes are there between 11:10 AM and 9:51 PM? 641 How many minutes are there between 12:14 PM and 11:32 PM? 678 What is 672 minutes after 7:50 AM? 7:02 PM How many minutes are there between 11:05 AM and 12:43 PM? 98 What is 558 minutes before 5:53 AM? 8:35 PM What is 9 minutes before 10:04 PM? 9:55 PM What is 238 minutes before 7:41 PM? 3:43 PM How many minutes are there between 8:02 PM and 7:42 AM? 700 What is 246 minutes before 7:52 AM? 3:46 AM What is 279 minutes before 11:03 PM? 6:24 PM What is 446 minutes after 9:10 PM? 4:36 AM What is 292 minutes before 7:59 AM? 3:07 AM What is 439 minutes after 4:48 PM? 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10:53 PM What is 584 minutes after 4:02 PM? 1:46 AM What is 204 minutes after 2:05 PM? 5:29 PM What is 353 minutes before 12:46 AM? 6:53 PM What is 402 minutes after 2:02 PM? 8:44 PM What is 662 minutes after 10:37 AM? 9:39 PM How many minutes are there between 10:17 AM and 3:54 PM? 337 How many minutes are there between 9:42 PM and 3:37 AM? 355 How many minutes are there between 1:43 AM and 1:20 PM? 697 How many minutes are there between 2:12 PM and 10:35 PM? 503 What is 535 minutes after 9:49 PM? 6:44 AM How many minutes are there between 8:06 AM and 12:01 PM? 235 How many minutes are there between 12:47 AM and 7:26 AM? 399 What is 691 minutes after 8:08 AM? 7:39 PM What is 344 minutes after 11:41 AM? 5:25 PM What is 697 minutes before 8:42 PM? 9:05 AM What is 702 minutes before 2:52 AM? 3:10 PM What is 244 minutes before 11:59 AM? 7:55 AM How many minutes are there between 4:10 AM and 1:54 PM? 584 What is 317 minutes before 11:21 AM? 6:04 AM How many minutes are there between 12:03 PM and 1:35 PM? 92 How many minutes are there between 4:55 AM and 9:29 AM? 274 What is 63 minutes after 11:39 AM? 12:42 PM What is 246 minutes after 11:02 AM? 3:08 PM What is 14 minutes before 2:24 PM? 2:10 PM How many minutes are there between 3:37 PM and 11:48 PM? 491 How many minutes are there between 9:08 AM and 5:10 PM? 482 What is 480 minutes before 8:35 PM? 12:35 PM What is 175 minutes after 9:54 PM? 12:49 AM What is 323 minutes before 10:41 AM? 5:18 AM What is 704 minutes before 11:02 PM? 11:18 AM How many minutes are there between 5:33 PM and 2:19 AM? 526 What is 173 minutes before 4:37 AM? 1:44 AM How many minutes are there between 5:57 PM and 10:53 PM? 296 How many minutes are there between 4:01 AM and 6:11 AM? 130 What is 557 minutes before 7:44 AM? 10:27 PM How many minutes are there between 12:40 PM and 5:06 PM? 266 How many minutes are there between 5:17 PM and 5:29 PM? 12 What is 505 minutes after 11:49 PM? 8:14 AM How many minutes are there between 5:10 PM and 11:04 PM? 354 What is 59 minutes before 1:36 AM? 12:37 AM What is 223 minutes before 1:37 PM? 9:54 AM How many minutes are there between 3:17 AM and 8:27 AM? 310 How many minutes are there between 11:40 AM and 12:57 PM? 77 How many minutes are there between 2:09 PM and 11:28 PM? 559 What is 454 minutes before 6:43 PM? 11:09 AM What is 432 minutes after 5:43 PM? 12:55 AM How many minutes are there between 9:22 AM and 2:15 PM? 293 What is 252 minutes before 9:35 AM? 5:23 AM What is 406 minutes after 2:30 PM? 9:16 PM How many minutes are there between 5:35 PM and 8:41 PM? 186 How many minutes are there between 3:58 AM and 11:37 AM? 459 What is 699 minutes before 4:34 AM? 4:55 PM What is 223 minutes before 11:07 AM? 7:24 AM How many minutes are there between 12:00 PM and 4:11 PM? 251 How many minutes are there between 7:15 AM and 2:09 PM? 414 What is 525 minutes after 10:32 PM? 7:17 AM How many minutes are there between 8:20 PM and 11:34 PM? 194 What is 376 minutes before 10:03 AM? 3:47 AM What is 611 minutes after 11:14 AM? 9:25 PM What is 323 minutes before 6:43 PM? 1:20 PM What is 662 minutes before 12:40 AM? 1:38 PM What is 714 minutes before 2:08 PM? 2:14 AM What is 20 minutes after 2:25 AM? 2:45 AM How many minutes are there between 7:57 PM and 6:14 AM? 617 What is 41 minutes before 5:49 PM? 5:08 PM How many minutes are there between 3:36 AM and 8:53 AM? 317 How many minutes are there between 9:03 PM and 8:34 AM? 691 How many minutes are there between 7:24 AM and 1:05 PM? 341 What is 291 minutes after 8:33 PM? 1:24 AM How many minutes are there between 2:24 PM and 2:49 PM? 25 What is 19 minutes before 7:42 PM? 7:23 PM How many minutes are there between 3:09 AM and 11:55 AM? 526 How many minutes are there between 9:34 AM and 5:22 PM? 468 How many minutes are there between 9:15 AM and 7:06 PM? 591 How many minutes are there between 6:28 PM and 5:45 AM? 677 What is 680 minutes before 9:21 PM? 10:01 AM How many minutes are there between 3:52 AM and 2:01 PM? 609 How many minutes are there between 8:29 AM and 11:19 AM? 170 Wha
{ "pile_set_name": "DM Mathematics" }
ple of 109? False Is 85 a factor of 212145443? False Is 739 a factor of 14307779? True Does 4756 divide 1057145046? False Is 28005295 even? False Does 2055 divide 106681215? True Is 270932947 a multiple of 9? False Is 2121 a factor of 669267832? False Is 71601698 a multiple of 12? False Is 23175174 a multiple of 114? True Is 111636557 a multiple of 188? False Does 3890 divide 1811007978? False Is 6928037 a multiple of 227? False Is 33580180 a multiple of 1021? False Is 68781116 a multiple of 17? True Is 193071637 a multiple of 108? False Is 538093257 a multiple of 37? True Is 235 a factor of 249038062? False Does 617 divide 289277982? True Does 10 divide 1016709200? True Is 1249912634 a multiple of 2582? True Is 18 a factor of 1662147258? False Is 32 a factor of 308001056? True Does 254 divide 116913406? True Is 1418310 a multiple of 918? True Does 3727 divide 308377902? False Is 47 a factor of 76994131? True Is 64871685 a multiple of 155? True Is 3227 a factor of 184177798? True Is 5 a factor of 706153500? True Does 1697 divide 13250176? True Is 10721116 a multiple of 16? False Is 1481 a factor of 1161746754? True Is 22433828 a multiple of 460? False Does 9 divide 104062986? True Is 265733508 a multiple of 507? False Does 179 divide 102509183? True Is 195 a factor of 229868554? False Is 7120552 a multiple of 136? True Does 169 divide 24935274? True Is 62555842 a multiple of 70? False Is 84252349 a multiple of 10? False Is 2271053370 a multiple of 252? False Does 220 divide 362525240? True Does 62 divide 409386? True Is 80850 a multiple of 539? True Is 249272075 a multiple of 68? False Is 8996660 a multiple of 9? False Is 2395 a factor of 198439134? False Does 1493 divide 3180858438? False Is 1235092607 a multiple of 17? False Does 247 divide 4506449792? True Is 129829322 a multiple of 142? True Is 48 a factor of 112602268? False Does 2627 divide 88176937? False Does 1066 divide 90777362? True Is 24 a factor of 81594648? True Does 158 divide 86233398? True Is 39535067 a multiple of 17? False Is 17150510 a multiple of 26? True Does 96 divide 2401299840? True Does 2614 divide 3852586392? True Is 3261549 a multiple of 12? False Is 13167284 a multiple of 26? True Does 7 divide 13383606? False Does 307 divide 152968276? True Is 133 a factor of 18913531? True Is 45718568 a multiple of 632? False Is 75 a factor of 59781600? True Does 32 divide 104147561? False Is 32774544 a multiple of 432? True Is 17168647 a multiple of 13? False Does 261 divide 172014383? False Is 6 a factor of 32055527? False Is 23 a factor of 28536767? True Does 393 divide 31001019? True Is 46438029 a multiple of 27? True Does 20 divide 117926960? True Does 31 divide 169300331? True Is 66923701 a multiple of 142? False Is 51626928 a multiple of 24? True Does 110 divide 21482682? False Is 8998 a factor of 1958330452? False Does 106 divide 61423396? True Is 14032368 a multiple of 8? True Is 1211200262 a multiple of 3254? False Does 5 divide 658722735? True Is 1470668919 a multiple of 68? False Is 4 a factor of 9839488? True Does 55 divide 13783812? False Does 8 divide 26133176? True Is 12792379 a multiple of 5? False Does 111 divide 145737133? False Does 3046 divide 253411970? True Does 7145 divide 648024617? False Is 75044548 a multiple of 326? True Does 5310 divide 788434110? True Is 320471084 a multiple of 8106? False Is 2461 a factor of 286082018? False Does 924 divide 127899156? True Is 200946115 a multiple of 3129? False Is 51 a factor of 483335725? False Is 83 a factor of 50769523? True Does 103 divide 477726901? False Is 17704414 a multiple of 623? True Does 1040 divide 29360240? True Is 14 a factor of 1036836599? False Does 2 divide 542524229? False Is 114 a factor of 32869153? False Does 966 divide 1092820344? True Is 20 a factor of 22998520? True Does 19 divide 244309159? False Does 39 divide 1287546? True Is 19 a factor of 2385410898? True Does 273 divide 123877299? True Is 12 a factor of 85931871? False Is 2090360 a multiple of 10? True Is 471 a factor of 5664382945? False Does 911 divide 1190118? False Does 463 divide 221750609? True Is 9338270 a multiple of 3? False Does 23 divide 53849608? False Does 269 divide 941344795? False Does 46 divide 4825201970? True Is 3216 a factor of 726355894? False Is 78750602 a multiple of 406? True Is 8877760 a multiple of 160? True Is 7 a factor of 1307764353? True Is 177428100 a multiple of 150? True Is 460384297 a multiple of 220? False Is 21508200 a multiple of 90? True Is 460 a factor of 84116520? True Is 1571 a factor of 333211745? False Is 1388 a factor of 3640724? True Does 38 divide 51397736? True Is 118989610 a multiple of 58? True Is 56 a factor of 481063809? False Is 46698960 a multiple of 722? True Is 58 a factor of 1240015582? True Does 124 divide 23757532? True Is 120 a factor of 40700520? True Is 111394417 a multiple of 1516? False Is 28661921 a multiple of 11? False Does 3265 divide 594490649? False Does 79 divide 23395692? True Is 320 a factor of 1467718080? True Is 4474 a factor of 1611414002? True Does 148 divide 409748845? False Is 45 a factor of 89231220? True Is 617984370 a multiple of 54? True Is 35 a factor of 467771385? False Does 431 divide 24032081? False Is 96 a factor of 1252358208? True Is 67638918 a multiple of 863? False Is 11 a factor of 60285537? False Is 13 a factor of 403525377? False Is 148 a factor of 144826436? True Is 148107960 a multiple of 1233? True Is 11460800 a multiple of 25? True Is 394 a factor of 122033620? True Is 108700992 a multiple of 102? True Is 10614582 a multiple of 18? True Is 13 a factor of 1128721896? False Does 550 divide 28210425? False Is 170669041 a multiple of 93? False Is 7 a factor of 5479073? False Is 3123582348 a multiple of 53? True Is 26551972 a multiple of 3907? True Is 129 a factor of 572681? False Does 10 divide 1246982880? True Is 48024588 a multiple of 4? True Does 64 divide 86801149? False Is 49256280 even? True Is 1109 a factor of 59077804? False Is 63738295 a multiple of 535? True Does 4 divide 9585624? True Is 10356948 a multiple of 84? True Is 174286678 a multiple of 13? False Is 1516895856 a multiple of 1368? True Is 39877670 a multiple of 5? True Is 81053672 a multiple of 2399? False Is 175015586 a multiple of 214? False Is 5 a factor of 864762265? True Is 169883562 a multiple of 1774? True Is 35192009 a multiple of 787? False Is 317 a factor of 124833191? False Is 1332587575 a multiple of 8? False Does 198 divide 677328253? False Does 48 divide 137292630? False Is 6 a factor of 4459692? True Is 2768 a factor of 17687520? True Does 289 divide 12414207? False Is 13 a factor of 387602242? False Is 9 a factor of 515115878? False Is 317 a factor of 1657985446? True Is 1114110328 a multiple of 4? True Does 219 divide 456003771? True Is 797321079 a multiple of 21? False Does 78 divide 652174536? True Does 31 divide 133350530? True Does 6 divide 310253490? True Does 4 divide 3760468? True Is 43 a factor of 517241453? True Does 73 divide 367608652? False Does 834 divide 8858748? True Does 10 divide 134098800? True Does 367 divide 75116826? True Does 248 divide 6241768? False Is 13 a factor of 23769733? True Is 98 a factor of 1982032262? True Is 496 a factor of 24888784? True Does 44 divide 283355028? True Is 6603 a factor of 318152349? True Is 22045040 a multiple of 80? True Does 6 divide 109626498? True Is 40328392 a multiple of 21? False Is 201616149 a multiple of 609? True Does 92 divide 85374528? True Is 8 a factor of 3056849391? False Is 16 a factor of 211098320? True Does 3450 divide 563634606? False Does 208 divide 440535691? False Is 3535340 a multiple of 1919? False Is 1874791865 a multiple of 603? False Is 56632044 a multiple of 1372? True Is 564516913 a multiple of 3317? True Is 2740 a factor of 204143700? True Is 3601009 a multiple of 10? False Does 148 divide 645206444? True Does 1052 divide 31063456? True Is 1683007680 a multiple of 120? True Is 35 a factor of 25763674? False Is 3314267144 a multiple of 164? True Does 28 divide 771706860? False Is 8918480 a multiple of 185? True Does 32 divide 36548672? True Is 94783111 a multiple of 62? False Is 4616722 a multiple of 21? False Is 162598431 a multiple of 8061? True Is 12 a factor of 2101390
{ "pile_set_name": "DM Mathematics" }
second derivative of 18*b**5 + 2*b**2 - 29*b + 1. 360*b**3 + 4 Differentiate -841*f**3 - 2*f**2*i**2 + i**2 - 131*i wrt f. -2523*f**2 - 4*f*i**2 Find the third derivative of 5544*w**4 + 561*w**2 + 2*w - 5. 133056*w Differentiate -2*g*o**2 - 3355*g*p + o**2*p - 2*o**2 - 419*p - 1 wrt g. -2*o**2 - 3355*p What is the second derivative of 3086*r**5 + 3772*r wrt r? 61720*r**3 What is the first derivative of 176*i**3*x - 4*i**3 + 11*i**2 wrt x? 176*i**3 Find the second derivative of -22*j**4 + 33*j - 19. -264*j**2 Find the second derivative of 7*r**5 + 177*r**2*y + 16*r*y + 23*y wrt r. 140*r**3 + 354*y Find the second derivative of -2*c**3*k**2*l + 24*c**3*k*l**2 - 19*c**2*l - 11*c*k**2*l + 2*c*k**2 + 341*k**2*l**2 - k**2 wrt l. 48*c**3*k + 682*k**2 What is the second derivative of -4904*t**2 - 80*t - 2 wrt t? -9808 Find the second derivative of 142*l**3*r - 5*l**3 - l*r - 335*l - 3*r wrt l. 852*l*r - 30*l Find the third derivative of 2435*q**3 - 2*q**2 + 16*q + 29. 14610 What is the third derivative of -3*m**3*t**2 - 19*m**3 + 28*m**2*t**2 - m*t**2 - 1 wrt m? -18*t**2 - 114 Find the first derivative of 2970*f**4 - 3440. 11880*f**3 What is the derivative of 2*r**2 + 165*r - 974 wrt r? 4*r + 165 What is the first derivative of -438*a*g**3 + 16*g**3 - 3*g wrt a? -438*g**3 Find the second derivative of -1431*u**4 + 380*u - 3. -17172*u**2 Find the first derivative of h*w**2 - 18*h - 71*w**2 wrt h. w**2 - 18 Find the second derivative of -166*g**4 - g + 93. -1992*g**2 What is the second derivative of 614*k**3*r**3 - 2*k*r**3 - 280 wrt k? 3684*k*r**3 What is the derivative of -3*d*w**2 + 178*d*w - 398*d + 2*w**2 - 2 wrt w? -6*d*w + 178*d + 4*w Find the third derivative of 8086*j**4 - 2*j**2 - 2*j + 3. 194064*j Differentiate -q*x + 484*q - 287*x wrt x. -q - 287 What is the second derivative of 525*d**5 - 2*d**2*t**3 + 2*d**2*t**2 + 4080*d*t - 2*t**3 wrt d? 10500*d**3 - 4*t**3 + 4*t**2 Find the first derivative of -436*c**4 - 7*c**3 + 895 wrt c. -1744*c**3 - 21*c**2 What is the second derivative of 2*q**2*v**2 - q**2*v - 87*q*v**4 - 131*q*v wrt v? 4*q**2 - 1044*q*v**2 Differentiate -24*q**4 - 5*q*z - 736*z with respect to q. -96*q**3 - 5*z What is the second derivative of h**2*n**3*z**2 - 96*h**2*n**3 + 73*h**2*n*z**2 + h*n**3*z - n*z wrt z? 2*h**2*n**3 + 146*h**2*n Find the second derivative of -2*b**3*f**2 + 3*b**3*f + b**2*f*i**2 - 35*b**2*f - b*i**2 - 10*f**3*i**2 - f**3 + 2*f**2 wrt f. -4*b**3 - 60*f*i**2 - 6*f + 4 Differentiate 926*g**2*z**2 + 3*g*z**2 - 10324*z**2 with respect to g. 1852*g*z**2 + 3*z**2 What is the second derivative of -6*l**3 - 437*l**2 - 7596*l? -36*l - 874 Find the second derivative of -12*a**2*t**4 + 207*a**2 + 30*t**4 - 3*t wrt t. -144*a**2*t**2 + 360*t**2 Find the second derivative of -10*a**4*g**2 - 2*a**2*g**3 + 36*a*g**3 - a*g**2 + 2*g wrt a. -120*a**2*g**2 - 4*g**3 What is the derivative of -2*b**3 + 489*b**2 - 203? -6*b**2 + 978*b Find the third derivative of 9470*h**3*u**3 - 12*h**2*u + 2*h*u**3 + 43*h*u**2 wrt h. 56820*u**3 What is the derivative of 18*g**3*l + 58*g**3 + 87*l - 5 wrt g? 54*g**2*l + 174*g**2 Find the first derivative of -2*d**4*m**2 - 52*d**2*m**2 + 11*m**2 wrt d. -8*d**3*m**2 - 104*d*m**2 Find the third derivative of d**5 + 617*d**4 - 272*d**2 - 2 wrt d. 60*d**2 + 14808*d Find the first derivative of 21160*n**2 + 15569 wrt n. 42320*n Differentiate 210*g**3*i*m + g**3 - g**2*i*m**2 - g*i*m + 133*g*i with respect to m. 210*g**3*i - 2*g**2*i*m - g*i Differentiate -166*f**3 + f - 263 with respect to f. -498*f**2 + 1 Find the third derivative of 2625*i**4 + 2*i**2 - 181*i. 63000*i Find the third derivative of -27*k**6 - 9*k**3 + 71*k**2. -3240*k**3 - 54 What is the first derivative of 328*k**2 + 138 wrt k? 656*k Find the second derivative of -972*r**4 - 2*r - 119 wrt r. -11664*r**2 What is the second derivative of -6693*t**3*x**2 + 61*t**3*x + 2*t**3 - 2*t*x - 2*t wrt x? -13386*t**3 What is the third derivative of 14*p**5 - 2*p**4 - 27*p**3 - 4*p**2 - 3749 wrt p? 840*p**2 - 48*p - 162 Find the second derivative of 2*b**3*h + 1324*b**2*h - 4*b*h + 165 wrt b. 12*b*h + 2648*h Find the second derivative of 310*t**2 - 1156*t wrt t. 620 Find the second derivative of -2*u**3 - 235*u**2 - 1394*u wrt u. -12*u - 470 Find the third derivative of 3*i**6 + 164*i**3 + 2151*i**2. 360*i**3 + 984 Differentiate 2123*o + 942. 2123 Find the third derivative of 199*s**3 + 461*s**2 wrt s. 1194 Find the second derivative of -25*i**4 + 2*i**2 + i - 34 wrt i. -300*i**2 + 4 What is the second derivative of 5603*p**3 + 5782*p wrt p? 33618*p Differentiate 954*i**2 + 1441. 1908*i What is the third derivative of h**5*l + 373*h**3*l - 3*h**2*l - 31*h**2 - 3*h wrt h? 60*h**2*l + 2238*l What is the second derivative of 2352*d**3 - 7*d - 43? 14112*d What is the third derivative of -24*j**4 - 20*j**3 + 10*j**2 + 9*j wrt j? -576*j - 120 Find the third derivative of 156*b**4 - 7*b**2 + 3. 3744*b Find the third derivative of -368*b**3 - 2*b**2 - 864*b wrt b. -2208 Find the third derivative of -63*v**4 + v**3 + 307*v**2 wrt v. -1512*v + 6 What is the derivative of -129*x**2 - 291 wrt x? -258*x Differentiate 14579*g**3*w - 2*g*w**2 - w**2 + 5*w + 2 with respect to g. 43737*g**2*w - 2*w**2 Find the second derivative of 94*h**5 - h**3 - 3*h + 5 wrt h. 1880*h**3 - 6*h Find the second derivative of 202*c**4 - c**3*h**2 - 2*c - 3*h**2 wrt c. 2424*c**2 - 6*c*h**2 What is the third derivative of -668*f**5 - f**4 + 39*f**2 + 27*f wrt f? -40080*f**2 - 24*f Find the third derivative of -962*x**4 + 9*x**2 - 331*x. -23088*x What is the first derivative of -320*m + 13 wrt m? -320 What is the third derivative of -5*m**5 - 349*m**4 + 2*m**2 - 110? -300*m**2 - 8376*m What is the third derivative of f**2*l**3*w - 2*f**2*l**2 + 3*f**2*l*w - 3*f*l**2*w + f*w - 3*l**4*w + 18*l**4 wrt l? 6*f**2*w - 72*l*w + 432*l Differentiate 8*h*z**4 - 55*h*z**3 - 769*h + 1 wrt z. 32*h*z**3 - 165*h*z**2 Find the third derivative of 1538*j**3*w**2 + 17*j**2*w**2 - 5*j**2*w - 9*j**2 - j*w**2 wrt j. 9228*w**2 What is the second derivative of 4*n**2*o*v*x - 3*n**2*o*x - n**2*v*x + n*o*v*x - 3*n*v - o - 4*v*x + 2*v wrt n? 8*o*v*x - 6*o*x - 2*v*x What is the second derivative of -150*u**4 - 2*u + 14 wrt u? -1800*u**2 What is the second derivative of 15*s**3*z + s**3 + 3*s**2*z - 7*s*z - 20*z wrt s? 90*s*z + 6*s + 6*z What is the second derivative of -3870*u**5 + 4161*u? -77400*u**3 Find the first derivative of 47*o + 76 wrt o. 47 Find the third derivative of -2*b*x**5 + 2*b*x**4 - 20*b*x**3 + 571*b*x - x**2 + 2*x wrt x. -120*b*x**2 + 48*b*x - 120*b What is the first derivative of -161*i*n**2*p + i*n**2 + 34*i*n - 2*n**2*p wrt p? -161*i*n**2 - 2*n**2 What is the third derivative of -767*b**2*s**3 + 7*b**2*s + 48*b*s**2 wrt s? -4602*b**2 Differentiate a*x**2*y + a*y + a + 12*x**2*y + 39*x**2 with respect to y. a*x**2 + a + 12*x**2 What is the third derivative of 724*z**6 + 2*z**5 + 1220*z**2 wrt z? 86880*z**3 + 120*z**2 Find the first derivative of -b**2 - 100*b + 1110. -2*b - 100 What is the first derivative of -2*s**3*y - 249*s**2 + 2*s*y + 87*y - 6 wrt s? -6*s**2*y - 498*s + 2*y What is the third derivative of 126*i**3*j**4 - 2*i**3 - 2*i**2*j**2 + 2*j**2 wrt j? 3024*i**3*j Find the first derivative of 17*g**2 - 447*g - 19371. 34*g - 447 Find the second derivative of 8134*c**4 - 391*c - 6. 97608*c**2 Find the second derivative of -6218*b*k**2*p**3 + 30*b*k - k**2 - k*p**3 - 3*p**3 + 18*p wrt k. -12436*b*p**3 - 2 Differentiate 214*g**3*t - g**3 + 114*g**2 wrt t. 214*g**3 What is the second derivative of -484*s**3 - 3*s + 146? -2904*s What is the first derivative of -1714*m - 968 wrt m? -1714 Differentiate -3*h**3*m**2 + 2*h**3*m*t - 2*h**3*t - 4*h*m**2*t - 15*h*t wrt m. -6*h**3*m + 2*h**3*t - 8*h*m*t What is the third derivative of -160*f**2*i*t**3 + 4*f**2*i*t + 4*f**2*t**3 - 27*f**2*t**2 + f*i*t**3 + f*t**2 wrt t? -960*f**2*i + 24*f**2 + 6*f*i Find the second derivative of -2*d**2*k**2*n**2 + 471*d**2*n + 2*d*k**2*n + 6*d*k*n**2 + 2*d + k**2*n wrt d. -4*k**2*n**2 + 942*n What is the third derivative of -626*z**4 + 9500*z**2 wrt z? -15024*z Differentiate -h**2 - 47*h - 122 with respect to h. -2*h - 47 What is the first derivative of -4*u**3*v - 491*u**3*y**3 + 4*u**2*y**3 + 2*u**2*y*
{ "pile_set_name": "DM Mathematics" }
= -15234.399958 - -15234. Let v = 0.4 + g. Round v to four dps. 0 Let o(r) = -r**2 - 5*r - 2. Let d be (-14)/14 + 1*-2. Let y be o(d). Suppose y*j - 131856 = -799856. Round j to the nearest ten thousand. -170000 Suppose -20*z + 46750 = 3*f - 22*z, -f + 15595 = -3*z. What is f rounded to the nearest 1000? 16000 Let m = -0.87817 - -1.29817128. Let h = -0.42 + m. What is h rounded to 7 decimal places? 0.0000013 Let r = -1392.000001238 + 1392. What is r rounded to seven decimal places? -0.0000012 Suppose -43167600 = 39*b + 3*b. Round b to the nearest 10000. -1030000 Let k = 10313.17 - 10316.969978. Let c = -3.8 - k. What is c rounded to six decimal places? -0.000022 Let b = 0.14057823 - 0.07657782. Let u = b - 0.064. What is u rounded to 7 dps? 0.0000004 Let s = 23.3 + -117.3. Let l = 93.9896 + s. Round l to 3 decimal places. -0.01 Suppose 0 = 5*j - 3*j + 5*n + 172748, -2*j - 172728 = -5*n. Let g = -733795 - j. Let p = 367426 + g. What is p rounded to the nearest one hundred thousand? -300000 Let w = -41937039 + 41938910.0007. Let o = w - 1872. Let v = o + 1. Round v to 3 dps. 0.001 Suppose -9*k = -3*k. Suppose k = 2*p - 0 - 4. Round p to the nearest integer. 2 Let g = 8.3 + -19.2. Let v = g + -0.2. What is v rounded to 0 dps? -11 Let f = -43 - 12. Let i = -12589710 - -12589654.99969. Let r = f - i. What is r rounded to four dps? 0.0003 Let q be -1 + 147/3 + 3. Suppose 485 = c - q. Let l = c + 364. Round l to the nearest one thousand. 1000 Let s = -0.104 - -71.104. Let c = -71.00048 + s. What is c rounded to four decimal places? -0.0005 Let x be (-7)/(-2)*(-20)/(-35). Suppose -3*t - 4*u - 3151 - 15437 = 0, -x*u - 18594 = 3*t. What is t rounded to the nearest 1000? -6000 Let o be (-350500)/(6 - (-639)/(-108)). What is o rounded to the nearest 1000000? -4000000 Let u = 5359.00629954 + -5359.4863. Let v = -0.48 - u. What is v rounded to seven decimal places? 0.0000005 Let g = 118.9 - 118.8131. Round g to two decimal places. 0.09 Let z be 16060/6 - (-3)/9. Suppose -2*a + 2016 = 3*p, -4*p + 3*a - 2*a + z = 0. What is p rounded to the nearest one hundred? 700 Suppose -592254848 + 128754848 = -15*q. What is q rounded to the nearest 1000000? 31000000 Let b = -2011 + 2348.7. Let j = b + -357. Round j to 0 dps. -19 Let q = 1077 - 1078.081. What is q rounded to two dps? -1.08 Let z = -0.8 + 0.8. Let j = z + -0.27. Round j to 1 decimal place. -0.3 Let x = 685491.47 - 685498.77000592. Let g = x + 7.3. Round g to six decimal places. -0.000006 Let t = 0.49 - -0.06. Let v = 0.110696 + 0.440214. Let d = v - t. Round d to four dps. 0.0009 Let f = -1031.1845 - -0.1845. Let b = f + 1030.99999481. What is b rounded to seven dps? -0.0000052 Suppose -33*o + 24*o + 10732500 = 0. What is o rounded to the nearest 100000? 1200000 Let t = -88.6 - -81. Let w = t - -11. Let m = 3.3953 - w. What is m rounded to 3 dps? -0.005 Let v = 18483608 - 13083608. What is v rounded to the nearest one million? 5000000 Let v = -17.62 + 22.5. Let a = -5.2 + v. Round a to the nearest integer. 0 Let x(o) = -5 + 4 - 11 + 13803*o - 3. Let h be x(5). What is h rounded to the nearest ten thousand? 70000 Let l = -1409 + 1409.00001403. Round l to 6 decimal places. 0.000014 Let y = -10211 - -4211. Let l be (23360/48)/(2/y). Round l to the nearest 100000. -1500000 Let a = 7431307 - -10668693. What is a rounded to the nearest 1000000? 18000000 Let z = -113 + 110.6. Let u = z + 2.3. What is u rounded to 1 decimal place? -0.1 Let g = -37.09609 - -37.1. Round g to 3 decimal places. 0.004 Let i(w) = w - 10. Let v be i(8). Let l be 1 + (-3 + v - -1). Let j = l - -1. What is j rounded to the nearest integer? -2 Let j be ((-7 - -6)*-13800)/(4/(-12000)). What is j rounded to the nearest 1000000? -41000000 Let k be 0 - -2*(5 + 1). Let g(h) = 13*h - 4*h**2 + 11*h**3 + h**2 + k - h**2. Let b be g(-13). Round b to the nearest 10000. -30000 Let c = -393845406.3 + 376070561. Let g = 17774861.3000009 + c. Let n = g - 16. What is n rounded to 7 decimal places? 0.0000009 Let h = -584.9999573 - -585. Round h to 6 dps. 0.000043 Let k = -65.2 - -65.199719. What is k rounded to four decimal places? -0.0003 Let u = -0.6 - -0.88. Let s = -2.52 - u. Let h = s - -2.800144. Round h to five dps. 0.00014 Let d(u) = -448*u + 4. Let v(r) = 2*r. Let t(n) = -5*d(n) + 40*v(n). Let z be t(-9). What is z rounded to the nearest 1000? -21000 Let r(p) = -8824999*p**2 + 5*p + 6. Let w(a) = -2*a**2 - 20*a - 20. Let j be w(-9). Let o be r(j). Round o to the nearest 1000000. -35000000 Let f = 556 + -108. What is f rounded to the nearest one hundred? 400 Let l = -6725.999994402 - -6726. What is l rounded to 7 dps? 0.0000056 Let x(c) = -36444*c**2 - 8*c - 64. Let r be x(-6). Round r to the nearest 100000. -1300000 Suppose -5648693 - 48059491 = -2*s. Suppose -l - 5454092 + s = 0. Round l to the nearest 1000000. 21000000 Let g = 113.000979 + -113. What is g rounded to five dps? 0.00098 Let b = 7783.3 - 7249. Round b to the nearest 100. 500 Let c(t) = 125*t**2 - 111*t - 18. Let j be c(-13). Round j to the nearest 1000. 23000 Let d(g) = 21*g**2 - 22*g**2 - 8*g + 6 - 39. Let l be d(-8). Round l to the nearest ten. -30 Let n = 0.0134 - 0.0134202. What is n rounded to five decimal places? -0.00002 Let q be 6844950371/(-371) + 1 + (2 - 2). Round q to the nearest one million. -18000000 Let p = 0.08475509 - -550.88134491. Let c = -551 + p. Round c to three decimal places. -0.034 Let o = 71.3 - 71.3001268. Round o to six dps. -0.000127 Let j = 70.99998671 + -71. Round j to 6 dps. -0.000013 Let h(y) = 160740*y**3 - 2*y**2 + 2*y + 4. Let d = -123 - -120. Let p be h(d). What is p rounded to the nearest one hundred thousand? -4300000 Let d = -6298478 + 29098478. Round d to the nearest 1000000. 23000000 Let j = 76 - 149. Let p = j + 88.6. What is p rounded to the nearest integer? 16 Let b = 478.9999 - 479. What is b rounded to five dps? -0.0001 Let h(a) = 2*a + 20. Let j be h(-9). Let g be (-324008)/6 + (j - 4/6). Round g to the nearest one hundred thousand. -100000 Let m = -61500241 + 146278825. Suppose -4*v - m = -5*j, j = -3*j + 4*v + 67822864. Suppose 0 = 3*b - j + 155720. Round b to the nearest 1000000. 6000000 Let d = -184.464 - -184. Round d to 2 dps. -0.46 Suppose -6*a + 11*a + 5 = 0, 4*g = -3*a - 560003. What is g rounded to the nearest 100000? -100000 Let c = -5297810 + 3208810. Round c to the nearest 100000. -2100000 Let c = 3.2 + 3.8. Let g = 6.68 - c. Round g to 1 dp. -0.3 Let j = -1.159 + 1.28908. Let d = -28 + 28.13. Let p = d - j. What is p rounded to 4 decimal places? -0.0001 Let w = -87614 - -87614.086219. Let f = 0.0868 - w. Round f to 5 decimal places. 0.00058 Let n = -6.06 - -6. Let t = n - -0.05. Let z = t + -0.005. Round z to 2 decimal places. -0.02 Let y be 3 - ((-1)/(-3)*0)/3. Suppose -z - y*t = 4*z + 185491, -t + 37103 = -z. What is z rounded to the nearest one thousand? -37000 Let s = 168457920.25999909 + -168457921. Let d = -4 + 3.26. Let b = d - s. What is b rounded to seven decimal places? 0.0000009 Let i = 444.4 + -371. Let r = i - 73.4000343. What is r rounded to 6 dps? -0.000034 Let w be 15074 - (-2 + 9) - 7. What is w rounded to the nearest one hundred? 15100 Let s = 2656 + -2644.724. What is s rounded to one decimal place? 11.3 Let c = 73824.07 + -74258. Let v = c - -449. Let i = v + -15. Round i to 2 decimal places. 0.07 Let j = -30543 + 30542.79073. Let s = j + 0.207. Round s to four dps. -0.0023 Let t = 2164.782 + -2169. Let o = t - -0.098. Round o to zero decimal places. -4 Let k = -3 + 7. Suppose -k*u + 0*u = -1812800. Suppose -5*d - 1296800 - u = 0. What is d rounded to the nearest one hundred thousand? -400000 Suppose 5*g - 2*n = -86, 3*g + 2*g = 4*n - 92. Let o(h) = -138*h + 32. Let f be o(g). Round f to the nearest 100. 2200 Let y = 47 + -47.19. Let m = -2.69 - y. Let i = -2.5009 - m. What is i rounded to three decimal places? -0.001 Let v(f) = -78357*f**3 - 7. Let g be v(4). Suppose -3*o - 22630499 = -79675064. Let t = o + g. Round t to the nearest 1000000. 14000000 Let y = -2941604.851 + 2941823.8510141. Let n = -216.07 - 2.93. Let h = y + n. Round h to 6 dps. 0.000014 Suppose 0 = -4*b - 2*d - 20, 2*b - d + 0*d + 14 = 0. Let r = -29 - -24. Let k be 12/r*(-75)/b. Round k to the nearest ten. -30 Let x = -4.32 -
{ "pile_set_name": "DM Mathematics" }