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(-93)? 11 Evaluate ((-26)/4420)/((-56)/238). 1/40 ((11/(-1947))/(7/21))/((-1)/2) 2/59 What is the value of (-84)/(-63)*(9/6)/((-7)/7)? -2 What is (4250/425)/(5/1)? 2 What is ((-1)/(-3))/(29/(-4959)*3)? -19 (-12*(-14)/154)/((-30)/(-33)) 6/5 What is ((-8)/220)/(9/90)? -4/11 (-2)/(-4)*(-234)/13 -9 What is the value of ((-40)/(-15))/(-2)*450/150? -4 Evaluate (7*(-78)/728)/(117/48). -4/13 756/315*(-5)/2 -6 ((2/(-2))/(-27)*-1)/(1407/8442) -2/9 What is (-186)/124*128/(-168)? 8/7 ((-23)/(230/(-12)))/((-3)/(-10)) 4 What is (((-76)/494)/((-35)/(-65)))/((-1)/(-21))? -6 Calculate ((-7)/28)/((-5)/40)*1/(-2). -1 What is the value of 8*-1*5*60/150? -16 (15/(-210)*0)/2 0 What is the value of ((-45)/27)/(((-3485)/(-1938))/41)? -38 What is ((-35)/42)/(-39*(-7)/(-252))? 10/13 What is the value of (-12)/(-8)*((-10)/(-5))/(-30)*3? -3/10 Evaluate (((-3)/(-13))/(51/(-51)))/((-36)/(-8)). -2/39 Evaluate ((-15)/(-10))/((-42)/(-420)). 15 Evaluate ((-4)/28*2)/(((-1296)/28)/12). 2/27 Evaluate (9/12)/((-195)/160). -8/13 Evaluate 5/15*((-9)/(-30))/((-18)/(-36)). 1/5 60/(-24)*130/39*24/(-10) 20 (-15)/3*(5/5)/(5/(-15)) 15 Calculate (-2)/(-33)*4180/570. 4/9 Evaluate ((-3)/(-3))/((81/9)/(-9)). -1 Evaluate 372/(-270)*5*-9*2/4. 31 What is the value of (-9)/(-180)*-10*-30? 15 Calculate ((-5)/(-44))/((-220)/(-352)). 2/11 Calculate ((-1)/((-12)/(-5)))/((5250/(-112))/15). 2/15 What is the value of (-82)/(-451)*(-264)/(-42)? 8/7 What is the value of (-4)/4*5*((-4)/(-20))/1? -1 What is the value of ((-75)/3750)/(1/(-10))? 1/5 65/45*-15*(-6)/10 13 Evaluate (-12)/(-4)*70/420. 1/2 Evaluate ((-21)/(-70))/((-166)/(-664)). 6/5 Calculate (-13*14/91)/(((-15)/2)/(-3)). -4/5 Calculate 552/(-2070)*-15*-3*(-6)/27. 8/3 Evaluate (-67)/201*(-6)/(-2). -1 Evaluate 1*43/(9460/80). 4/11 3*17/12*17/(34/8) 17 Evaluate (((-10)/(-210))/(2/(-30)))/(10/(-70)). 5 What is the value of (-10)/(-8)*2640/(-44550)? -2/27 What is ((78/(-13))/(-6))/(22/2)? 1/11 What is the value of (9/3)/(255/(-935))*-2? 22 Evaluate ((-2)/(-1)*2/4)/((-246)/1722). -7 What is ((-355)/(-71))/(10/(-24))? -12 (963/642)/((-4)/(32/(-6)))*16 32 What is ((-2498)/(-3747))/((-34)/6)? -2/17 Evaluate (10/(-4))/((-350)/(-42)). -3/10 Evaluate ((6/(-5))/((-3)/(-15)))/((-124)/248). 12 Evaluate 20/(-112)*2541/(-1210)*(-5)/(-3). 5/8 What is (168/9)/(224/168)? 14 Calculate (-14)/343*-7*10/(-5). -4/7 Calculate (-3)/6*648/(-2106). 2/13 ((-4)/(-16))/(60/(-1530)*17) -3/8 Calculate ((2/(-3))/2)/(28/((-26880)/(-80))). -4 Calculate 2*-3*((-94)/(-1128))/(4/3). -3/8 ((-72)/(-288)*32)/((8/18)/(-2)) -36 What is the value of (-21)/(18*13/(-156))? 14 Calculate (15/10)/(-1)*(-264)/5346. 2/27 Calculate 666/(-555)*((-2)/6)/((-1)/(-10)). 4 Calculate (-3)/3*4/(-24)*(-340)/17. -10/3 What is (39/3)/((-6)/((-36)/(-6)))? -13 What is the value of 3/((-78)/13*1/16)? -8 ((-21)/(-84))/((-1)/24) -6 What is ((-1080)/600)/((1/4)/(5/3))? -12 Calculate 8/(-3)*(4080/(-32))/85. 4 Evaluate ((-6048)/(-27))/16*1. 14 Evaluate ((-55)/(-25))/(-11)*35. -7 Calculate (-12)/10*(-735)/(-105)*(-20)/(-28). -6 Evaluate (-40)/(-108)*-3*(15/(-5))/3. 10/9 3/90*-190*3 -19 (105/(-14))/(280/336) -9 What is the value of ((-72)/(-6))/(((-72)/(-252))/((-3)/(-14)))? 9 Calculate (33*2)/(1479/87*(-15)/(-85)). 22 (-3)/(78/247)*2 -19 Evaluate (164/2624)/(11/16). 1/11 Calculate (4/(-24))/((-66)/(-1089)). -11/4 Evaluate -8*1/(-10)*(-35)/(-6)*-3. -14 Evaluate (336/(-204))/((-24)/204). 14 (-2)/(-2)*(-3)/117*75/75 -1/39 Calculate 32/(-6)*(-117)/1014*-13. -8 What is the value of (62*(-24)/(-2604))/(172/14)? 2/43 Evaluate (4/(-20))/((2187/270)/(-27)). 2/3 (273/(-455))/((-21)/(-25)) -5/7 Evaluate (-3)/(-6)*(-370)/(-185). 1 What is the value of (6/(-117))/((3/(-27))/((-13)/(-78)))? 1/13 Calculate (2*1*(-154)/264)/((-6)/(-36)). -7 What is 5/(25/(-5)*11/(33/(-1)))? 3 What is the value of (-30)/(-360)*(33/44)/((-3)/(-8))? 1/6 Evaluate ((-1)/2)/(258/18060). -35 What is the value of (-28)/21*810/(-45)? 24 What is 6/1*57/(-38)*(-20)/(-12)? -15 Calculate ((-5)/(-9))/(((-25)/(-24))/(6615/756)). 14/3 Evaluate (8544/448)/(-89)*2*2. -6/7 3/((-4)/(-8)*(-27)/9) -2 What is (18/(-4))/(-1)*1538/29991? 3/13 What is 2/((6/(-27))/1)? -9 Evaluate (-12402)/212*16/(-104). 9 Evaluate 2/(-4)*0/63. 0 Calculate (((-192)/(-72))/(6/9))/(-90). -2/45 Evaluate 90/(-110)*(-18)/(-405)*-5. 2/11 Calculate (15/(-69))/(350/(-140)). 2/23 What is the value of ((-21)/(-238))/((90/4)/15)? 1/17 Calculate ((6/26)/(168/(-1092)))/(6/100). -25 What is the value of -9*(8/36)/(-1)? 2 What is (20/(-5))/(30*32/3840)? -16 Calculate (10/120)/(((-30)/(-6))/140). 7/3 (35/42)/(1/3)*12/6 5 (241/4338)/(-1*15/20) -2/27 (-276)/(-4830)*(-15)/4*-2 3/7 What is the value of (-157)/(-785)*-2*(5/(-2))/(-5)? -1/5 What is the value of 11*(-318)/(-212)*2/(-3)? -11 What is (288/(-858))/(-12)*55/10? 2/13 1*(-4)/(-3)*(-18)/(-168) 1/7 Calculate ((-660)/(-140)*(-28)/16)/(69/(-23)). 11/4 Evaluate ((-2)/15)/(9/450*-10). 2/3 What is (2/10)/(12528/2610)? 1/24 (-3)/(-12)*(-156)/(-507) 1/13 What is the value of (6/(-1))/(101/(36057/(-126)))? 17 Calculate ((-3)/13)/1*-6*(-20)/360. -1/13 Calculate (-3*(-5)/(-345))/(-2)*(-22)/11. -1/23 1*(-3)/2*(-70)/(-21) -5 Evaluate ((-156)/338)/((-52)/(-13)*(-2)/(-8)). -6/13 What is the value of 119*(-44)/(-4488)*10/(-7)? -5/3 (-13*21/(-546))/((-4)/200) -25 What is (-102)/51*(-1)/(-2)? -1 Calculate (3/(-4))/(804/(-5360)). 5 Evaluate 5*(-24)/(-6)*(-5)/(1250/5). -2/5 What is the value of (28/(-35))/((6/(-20))/(-3))? -8 (-34)/(-17)*-1*4/28*4 -8/7 Evaluate ((-24)/(-80))/(((-15)/(-10))/1). 1/5 What is ((-28)/(-6))/((-231)/396)? -8 Evaluate ((-4)/5*5/14)/(16/(-70)). 5/4 Calculate (58/(-29)*(-33)/6)/1. 11 ((-708)/11682)/((-2)/(-27)*3) -3/11 What is the value of (1/(-2))/((-89)/178)? 1 What is 912/(-64)*13/(117/4)*3? -19 Evaluate ((-456)/(-133))/((-2756)/742). -12/13 What is 26/36*48/416? 1/12 ((12/45)/(-4))/((-506)/460) 2/33 What is ((-8)/308)/(45/(-105)*1)? 2/33 Evaluate 5*(-11)/(-165)*-24. -8 Calculate 138/92*20/(-3). -10 What is ((-2)/((126/4)/(-7)))/(956/17208)? 8 What is 7/(-119)*-17*-9? -9 Evaluate ((-12)/10)/(((-570)/75)/19)*-1. -3 Evaluate ((-1326)/52)/((-8)/((-128)/(-12))). 34 What is (((-12)/70)/1)/(24*(-8)/(-2400))? -15/7 Evaluate ((-1035)/(-45))/(12/12). 23 Calculate (-14)/(686/21)*1/(-1). 3/7 What is 0/(11*8/(-44))? 0 Calculate (-2)/4*2020/101. -10 Calculate (7/(-70))/((-3)/(-60)*8). -1/4 ((-22)/(-264)*210)/((-2)/4) -35 Evaluate 19360/6160*7/(-2). -11 What is (66/11)/((9/21)/(108/63))? 24 Evaluate (36/(-56)*(-35)/(-60))/((-33)/(-110)). -5/4 What is 4/6*174/(754/(-26))? -4 25/1*(-5*24/(-120))/1 25 What is 0/((7/(343/14))/(8/(-28)))? 0 Evaluate ((-5)/(-125))/((5/25)/(9/6)). 3/10 Evaluate (9477/(-486))/((-1)/(-4)*-3). 26 Calculate 111/333*(-78)/2. -13 What is the value of ((-34)/((-10)/(-100)*20))/(4/8)? -34 What is ((-13)/(-2470)*12)/(-6*(-8)/(-160))? -4/19 What is the value of (-63)/(-1323)*-154*2/((-4)/(-3))? -11 What is the value of 2/((21/56)/((-75)/80*4))? -20 Calculate (3/6)/(8/(-32))*1. -2 -2*((-3)/32)/((-120)/1120) -7/4 Evaluate 54*8/(-240)*10. -18 Calculate 3*(16/10)/(-1)*415/(-166). 12 Evaluate (87/29)/((-1)/((-15)/(-5))). -9 What is the value of (-92)/276*(25/3)/(-5)*27? 15 2*143*(-18)/(-792) 13/2 What is (-1528)/12606*(-1*3)/(-1)? -4/11 What is (-100)/1625*15/(-18)? 2/39 What is the value of 550/(-20)*(-70)/385? 5 What is the value of (-52)/(-3)*(90/(-12))/((-95)/19)? 26 What is ((-74)/(-37))/((-2)/2)*1? -2 What is the value of ((-3)/(81/(-9)))/(2/(8/(-18)))? -2/27 What is the value of -3*(-28)/(-735)*(-105)/40? 3/10 ((4/(-15))/((-16)/72))/(13/(-195)) -18 What is ((-5)/4)/(7*(-15)/(-120))? -10/7 (-1)/(-6)*(-4)/(-15)*(-50)/5 -4/9 Calculate ((-36)/(-24))/(64/96). 9/4 What is (-747)/415*(-4)/42*-5? -6/7 (4/10)/(7*165/(-3150)) -12/11 What is (90/(-15))/(((-13)/130)/((-4)/(-12)))? 20 What is the value of (-30)/40*-4*3? 9 Evaluate (671/244)/(110/1040). 26 Calculate (-13*7/(-910))/(2/(-4)*1). -1/5 Evaluate ((-20)/1350*-165)/(10/45). 11 Calculate (-846)/470*(-5)/(-12). -3/4 What is the value of 3*((-4)/126)/((-335)/201)? 2/35 What is the value of 16*-27*6/(-324)? 8 Evaluate ((-8407)/104487)/(7/(-6)). 2/29 What is the value of (-3*2/(-2))/((-19272)/(-1168))? 2/11 What is the value of 1040/(-1950)*-2*20/(-32)? -2/3 What is the value of -5*8/220*495/(-315)?
{ "pile_set_name": "DM Mathematics" }
- 1)*(140*h + 37*h - 21*h)). 154*h**2 Expand -n**4 - 3*n**4 + 5*n**4 - n**5 - 3*n + 4*n**5 - 2*n**5 - n**5 + n**2 + 3*n**5 - n**2 + (-n + 2*n - 2*n)*(-n**2 + n**2 + n**4). 2*n**5 + n**4 - 3*n Expand (3*a**2 + 1 - 1)*(-11*a + a - 3*a) + (0*a + 0*a - 2*a)*(-a**2 + a**2 + 3*a**2) + 0*a**3 + a**3 - 3*a**3. -47*a**3 Expand (-2*g**2 - 5*g**2 + 5*g**2)*(2 - 2 + 2*g)*((g - 1 + 1)*(-3 + 4 - 2) + 37*g + 64*g - 44*g). -224*g**4 Expand (0*c**2 + 0*c**2 + 5*c**3)*(-2*c**2 + 5*c**2 + 2*c**2) + 20*c**4 - 20*c**4 + 8*c**5. 33*c**5 Expand (16 - 13*m - 10 - 9)*(6*m**3 + 6*m**3 - 3*m**3). -117*m**4 - 27*m**3 Expand (-5*v**3 + 2*v**3 + 2*v**3)*(7*v**2 - 2*v**2 - 3*v**2 + (0*v - 3*v + v)*(-2 + 2 - 2*v) + 0*v + 0*v + 2*v**2)*(28 - 17 - 18). 56*v**5 Expand (-35 + 63 - 7*t**3 + 6*t**2 - 25)*(-t**2 - 2*t**2 - 5*t**2). 56*t**5 - 48*t**4 - 24*t**2 Expand ((2*q + 3*q - 3*q)*(3 - q**2 - 3) - 4*q**3 + 0*q**3 + 2*q**3)*(11*q**2 + 2*q**2 + 2*q**2 + q**2 + 3*q**2 - 3*q**2 + (-2*q - 3 + 3)*(-6*q + 2*q + 2*q)). -80*q**5 Expand (6 + 2 - 2)*(3 + 0 + 1)*(-m - 2*m + 9*m). 144*m Expand (-2150*w + 2115*w + 4*w**2 - 2*w**2)*(1 + 0*w + 2*w + 1). 4*w**3 - 66*w**2 - 70*w Expand (-u**4 + u**4 + 5*u**4)*(-5*u + 2*u + u) + 3*u**5 + 0*u + 0*u. -7*u**5 Expand (3*f**2 - 3*f**2 + f**2)*(-244 + 244 - 23*f)*(3*f - 4 - 3*f + 2*f). -46*f**4 + 92*f**3 Expand (13 - 2*w - 16 + 7)*(w**2 - 3*w**2 + 0*w**2) + 14 - 14 + 6*w**3. 10*w**3 - 8*w**2 Expand -3*i**3 + 2*i**3 - i**3 + (-8*i**2 + 6*i**2 - 2*i**2)*(0*i - 2*i + 0*i) - 109*i + 109*i - 7*i**3. -i**3 Expand (-26 - 15 + 6)*(n**3 + n**3 - 3*n**3). 35*n**3 Expand (5 + 5 - 8 + 11*d)*(-69*d**4 + 27*d**4 + 30*d**4). -132*d**5 - 24*d**4 Expand -3*g**4 - g**4 - 4*g**4 + (-1 + 2 - 12)*(-3 + 3 - 6*g)*(0*g**3 + 3*g**3 + 0*g**3). 190*g**4 Expand (-4*q + 3*q - q)*(0*q + 0*q - q) - 9*q + 9*q - 11*q**2. -9*q**2 Expand (-7 + 7 - 4*j)*(-30 + 30 + 10*j + (1 - 2*j - 1)*(-4 + 4 - 1)). -48*j**2 Expand -4*x + 2*x + 3*x + 190*x - 347 + 347 + x - 2*x + 3*x + (-2 + 1 + 2)*(4*x + 0*x - 2*x) - 2*x + 0*x + 3*x + 0*x - 2*x + x. 195*x Expand (2*d - 3*d + 0*d)*(217 - 27*d - 217)*(-d - d + 0*d)*(4 + 1 + 0). -270*d**3 Expand (7 - 3 + 3)*((10*n - 3*n + 2*n)*(4 - 1 - 1) - 3 + 2*n + 3). 140*n Expand (0 + 2 + 2)*((3 + 1 + 0)*(2 + 2 - 5) + 2 - 5 + 5 + 2 + 1 + 1)*(4*v - 5*v + 3*v). 16*v Expand -2*y**4 + 4*y**4 + 0*y**5 - 2*y**5 + (-2*y**5 + 8*y**5 + 6*y**5)*(10 - 3 + 4). 130*y**5 + 2*y**4 Expand (-21*i**2 - 27*i**2 + 5*i**2)*(-4 + 0 + 3). 43*i**2 Expand 4 + 3*p**3 - 4 + 13*p**3 + 14*p**3 - 23*p**3 + (-p**2 + 3*p - 3*p)*(-3*p + 5*p + 0*p) - 6*p**3 + 4*p**3 + 3*p**3 - 28*p**3 - 11*p**3 - 11*p**3. -44*p**3 Expand (-4 + 0 + 3)*(-5*z + 147 - 147). 5*z Expand (3*m**2 + 5*m**2 + m**2)*(-5*m + 2*m + 0*m) + (-2*m**2 + 2 - 2)*(2 - m - 2) + 0*m**3 - 2*m**3 + m**3 + (-1 + 1 + 2)*(2 - 2 + m**3). -24*m**3 Expand 2145 + 2*v - 1032 - 1071 + (-5 - 1 + 4)*(v + 0*v + v) + 1 - v - 1. -3*v + 42 Expand (-10*u**2 + 7*u**2 + 4*u**2 - 1)*(-4 + 8 + 5)*(3*u - 4*u + 4*u). 27*u**3 - 27*u Expand (-5*t + 19*t + 10*t)*(2 + 0 - 4)*(3 - 1 + 0). -96*t Expand (-178*h + 0*h - 73*h)*(0 - 1 + 5). -1004*h Expand (1 - 2 - 1)*(-5 + 5 + 2*t + (3*t - 2*t + 0*t)*(-2 + 0 - 2) - t - t + t) + (2 - 2*t - 2)*(1 + 1 + 0) + 2*t - t + t. 4*t Expand (1790 + 1556 - 294)*(-2*t**4 + 3*t**3 - 3*t**3). -6104*t**4 Expand (-2 - v + 2)*(234 - 234 - 7*v). 7*v**2 Expand -17 + 17 + 8*p**3 + (-1 + 1 + 5*p**3)*(2 - 2 - 1). 3*p**3 Expand (-2*v**3 + 5*v**3 + 2*v**3)*(-2 + 1 + 0 + (-2 + 0 + 4)*(1 + 0 + 0) + 0 + 5 - 2 - 1 + 4 + 0). 35*v**3 Expand -d**5 + 3*d**5 - d**5 + (-2*d + 3*d + d)*(11 + 4*d**4 - 11) + 0*d**5 + d**5 - 3*d**5. 7*d**5 Expand (-3*i + 3*i - i)*(21 - 59 - 43)*(i + 7 - 7). 81*i**2 Expand (-2 - 1 + 1)*(150*u**3 - 150*u**3 + u**5) + (-u**4 + 2*u**4 + u**4)*(3 - 3 + 7*u). 12*u**5 Expand 2*d**3 - 1 + 1 + (-1 + 1 - d)*(0*d**2 + 2*d**2 - 3*d**2) + d**3 + 4 - 4 + (14 - 14 + 12*d)*(4*d - 4*d - 4*d**2). -44*d**3 Expand (-p**4 + 0*p**4 + 2*p**4)*(3*p - 3*p - 2*p) + (1 + 5 + 4)*(-8*p**5 - 12*p**5 + 4*p**5). -162*p**5 Expand (-6*t**4 - 2*t**4 + 10*t**4)*(12 + 13 - 19). 12*t**4 Expand (-6 + 4 + 4)*(0 + 1 - 5)*(2*a + 6*a + 5*a)*(-a + 5 - 5). 104*a**2 Expand (-1219 - 1360 + 1169)*(4*z - z - 5*z) - 4*z + 4*z + z. 2821*z Expand (0*i + 2*i + i)*(2 - 7 + 0) + (5*i - i - 6*i)*(3 + 0 - 2) - 3 - 7*i + 4 + 1. -24*i + 2 Expand -458*i - 284*i + 176*i + (-2*i - 2*i + 2*i)*(3 - 2 - 2). -564*i Expand (-3*l + l + 4*l + 16*l + 939 - 939 + (0*l + 2*l + 0*l)*(-2 + 3 - 3))*(-3 - 2 + 1). -56*l Expand (6*r**2 + 6*r**2 + 186*r**2)*(2 + 3 - 6). -198*r**2 Expand -8*y + 11*y + 11*y - 2*y + 4*y + 0*y + (6*y + y - 2*y)*(6 - 4 - 1). 21*y Expand -s**5 + 5*s**5 - 3*s**5 + ((5 - 5 - 1)*(-2 + 5 + 3) + 0 + 4 - 3)*(-s**5 + 2*s**2 - 2*s**2). 6*s**5 Expand (1 + 21 + 0)*(-3*a**3 + 2*a**4 + 3*a**3). 44*a**4 Expand (-9*r**2 - 411*r + 8*r**2 + 409*r - 2)*(-4*r**2 + 3*r**2 - r**2). 2*r**4 + 4*r**3 + 4*r**2 Expand 5*f**3 - 5*f**3 + 4*f**4 + (f**2 + 0*f**2 + f**2)*(4*f**2 + 0*f**2 + 8*f**2). 28*f**4 Expand (0*l - 4*l + 3*l + 4*l - l - l + (3 - 4 - 5)*(-2*l - 3*l + 4*l))*(-3 - 5 - 4). -84*l Expand (-3*g**3 - 4*g**2 + 4*g**2)*(-103*g**2 - 44*g**2 - 21*g**2). 504*g**5 Expand (35*l - 15*l**3 - 35*l + (3 - 4 - 1)*(l**3 - 5*l**3 + 2*l**3) - l**3 + l - l - l**3 + 0 + 0 - 2*l**3 - 2*l**3 + 5*l**3)*(2*l + 4*l - 2*l). -48*l**4 Expand r**4 + 16*r**5 - 14*r**5 + 7*r**4 + (-2 - 2*r + 2)*(3*r**4 - r + r) + 3*r**5 - r**5 - r**5. -3*r**5 + 8*r**4 Expand ((-2*o + 0 + 0)*(-2*o + 4*o - 3*o) - 4*o**2 + 3*o**2 + 3*o**2 - 2*o**2 + 7*o**2 - 3*o**2)*(-9*o**2 + 13 - 13)*(0*o + 0*o - o). 54*o**5 Expand (0*v**3 + 6*v**3 - 5*v**3)*(5 - 7 - 16)*(2*v - 3*v + 3*v). -36*v**4 Expand (27 - 6*a - 27)*(-2 + 160*a + 3*a**3 - 160*a). -18*a**4 + 12*a Expand (-74*d - 2*d**3 + 6*d**2 + 74*d - 1)*(-1 - d + 1). 2*d**4 - 6*d**3 + d Expand (0 + 6 + 0)*(0 - 5 - 1)*(-2*t - 3*t + 4*t). 36*t Expand (-k**3 + k**3 - 3*k**3)*(-30 - 122 - 9 + 8). 459*k**3 Expand (1464 + 415*s - 1464)*(-1 + 0 + 0) + 0*s - s + 2*s + s - 4 + 4 + (-1 + 3 + 0)*(s + 0 + 0). -411*s Expand (-18*o + 18*o - 3*o**2)*(2*o**2 - o**2 + 0*o**2) - 25*o**2 + 25*o**2 + 36*o**4. 33*o**4 Expand (16*a**2 + 3*a**2 - 2*a**2)*(-a + 2*a + 2*a). 51*a**3 Expand (-13*y + 3 - 2*y**2 - 3)*(-3*y - 4*y + 308*y**2 - 313*y**2). 10*y**4 + 79*y**3 + 91*y**2 Expand -w**2 - 2 + 2 + (2*w + 0*w - w)*(-2*w + 0 + 0) - 46*w**2 - 914*w + 914*w. -49*w**2 Expand (0 + 4 - 5)*(-4 - 1 + 4)*(3 + 2 - 6)*(-714*z**2 + 1089*z - 1089*z)*(3 + 0 - 1). 1428*z**2 Expand (11*z + 37*z + 9*z)*(3*z - 10 + 6 + 5). 171*z**2 + 57*z Expand (-4 + 3 - 1)*(3*o - 4*o + 0*o)*(0*o - 3*o - 3*o) + (0*o**2 + 3*o**2 - 5*o**2)*(1 - 5 + 3) + o**2 - 2*o**2 + 2*o**2. -9*o**2 Expand 0*s**3 - s**3 + 2*s**5 + 6*s**3 + (6*s**4 - 3*s**4 - 2*s**4)*(4*s + 4*s - 5*s) - 5*s + 5*s - s**5. 4*s**5 + 5*s**3 Expand (1071*z + 31*z**2 - 1071*z + z**3)*(-2*z**2 + z + z**2 + 2*z**2). z**5 + 32*z**4 + 31*z**3 Expand (-2*a**2 + a**2 + 3*a**2)*(17*a - 1589 + 1589 + (-5 - 2 + 5)*(-a - 2*a + 2*a)). 38*a**3 Expand (-6*y + 7*y + 15*y)*((1 - 3 + 0)*(-4*y + 4*y + 2*y) + 3 - 3 + 2*y). -32*y**2 Expand (-5 - 2*y + 4 - 2*y**2 + 3*y)*(-1 - 2 + 2)*(571 - 200 - 217)*(3 + 0 - 2). 308*y**2 - 154*y + 154 Expand 280*m**2 - 280*m**2 + 25*m**4 + (0*m**2 - 6*m**2 - 5*m**2)*(m**2 + m**2 + 0*m**2). 3*m**4 Expand (-2 + 4 + 1)*(-8*a + a - 9 + 3*a). -12*a - 27 Expand (y - y - y**3)*(0*y - 2*y - 2*y)*(-10*y - 37*y - 14*y). -244*y**5 Expand (90 + 47 - 72)*(3 - 1 - 1)*(-4*i + i + i + 2*i + 2*i - i + (i - 2*i + 0*i)*(2 - 2 - 1)). 130*i Expand (-b**2 + b**2 + 2*b**4)*((4 + 2 - 4)*(-1 + 5 - 3) + (3 + 0 - 5)*(-1 - 1 + 3) + (0 + 0 - 3)*(2 - 5 + 0)). 18*b**4 Expand (252 + 230 + 35)*((-3 + 4 + 4)*(-2*r + 3*r + 0*r) + (4 - 2*r - 4)*(3 + 2 - 3) + 2 - 2 - 2*r). -517*r Expand (-2*u**3 + 2*u**3 + u**3)*(1 + 0 - 6)*(u + u - 16*u)*(-4*u - u + 2*u). -210*u**5 Expand -5*x**2 + 3*x**2 - x**2 + (0*x**2 - 2*x**2 + x**2)*(23 - 48 - 11). 33*x**2 Expand (4*y + 2*y**2 - 4*y)*(-336*y - 162*y - 88*y)*(3 - 3 - y). 1172*y**4 Expand 2*v**5 - 3*v**5 + 2*v**5 + (-2*v**3 + 3*v**3 - 3*v**3)*(4*v + 2*v**2 - 4*v) - v**5 + 5*v**5 - 5*v**5 + (13*v**4 - 3*v**4 + 14*v**4)*(3*v - v + 0*v). 44*v**5 Expand 15*d - 6*d - 7*d - 23*d**5 + (d**3 + d**3 - d**3)*(2*d**2 - 2*d**2 - 2*d**2). -25*d**5 + 2*d Expand -27*l + 2 + 25*l - 2*l + l
{ "pile_set_name": "DM Mathematics" }
+ 46*i**2 + 25 + 13*i**2 + 55*i - z*i - 20*i**5 + 113*i = 0? -5, -1, -1/4, 1 Suppose 0 = 35*v - 120 - 55. Let q(g) be the second derivative of 1/4*g**v + 5/12*g**4 - 5*g + 0 + 1/84*g**7 + 5/12*g**3 + 1/4*g**2 + 1/12*g**6. Factor q(t). (t + 1)**5/2 Let v(i) be the first derivative of -i**5/35 - 9*i**4/28 + 4*i**3/21 + 18*i**2/7 - 10444. Suppose v(w) = 0. What is w? -9, -2, 0, 2 Let t(q) be the second derivative of -q**5/20 - q**4/12 - q**3/6 + q**2/2 - 26*q. Let p(l) = 2*l**2 + 2*l - 2. Let k(z) = p(z) + t(z). Solve k(c) = 0. -1, 1 Suppose -4/11*g**4 + 2/11*g**5 + 0 + 4/11*g**2 - 18/11*g**3 + 16/11*g = 0. Calculate g. -2, -1, 0, 1, 4 Suppose 0 = t + 5*q - 67, 1548*t = 1551*t + q - 19. Determine b, given that 0 - 4/9*b**5 + 0*b**t - 8/9*b**3 + 0*b - 4/3*b**4 = 0. -2, -1, 0 Suppose 0 = 744*h - 1662 - 570. Determine u so that 134/3*u**2 + 212/3*u + 88/3 - u**4 + 19/3*u**h = 0. -2, -2/3, 11 Let g(v) be the first derivative of -34 + 112*v - 52/21*v**3 + 20*v**2 + 1/14*v**4. Suppose g(x) = 0. Calculate x. -2, 14 Let d(o) be the first derivative of 0*o**3 + 1/4*o**4 + 0*o + 56 + 0*o**2. Factor d(q). q**3 Let p(w) be the third derivative of 3/4*w**4 + 164*w**2 + 0*w**3 + 0*w - 1/5*w**5 + 0 + 1/60*w**6. Factor p(f). 2*f*(f - 3)**2 Let i(f) = -13*f**5 - 11*f**4 - 4*f**3 + 10*f**2 + 32*f + 10. Let y(c) = 2*c**5 + c**4 + c**2 + 1. Let m(v) = i(v) + 6*y(v). Factor m(q). -(q - 2)*(q + 1)*(q + 2)**3 Suppose -68 = -46*y + 29*y. Suppose y*f = 0, -r - 4*f = -7*f - 2. Factor -1/8*t**r + 3/4*t - 9/8. -(t - 3)**2/8 Let z(d) be the second derivative of -d**5 + 5/3*d**3 + 0*d**2 + 35/12*d**4 + 14 + 2*d. What is a in z(a) = 0? -1/4, 0, 2 Let b(p) be the first derivative of -2*p**3/33 - p**2 - 36*p/11 - 774. Factor b(x). -2*(x + 2)*(x + 9)/11 Let p(c) be the third derivative of 0*c**5 + 0*c**4 + 1/630*c**7 + 0 + 1/2016*c**8 + 2*c + 1/720*c**6 + 49*c**2 + 0*c**3. Find w, given that p(w) = 0. -1, 0 Suppose 5*v - 4*y = -1, 7*v = 3*v + 4*y. Let f be (-1394)/(-123) + v*10. Factor -16*l - 48 - f*l**2. -4*(l + 6)**2/3 Suppose 0 = -23*o - o + 144. Let x be (-108)/45 + o - 3/5. Determine q so that 96/7*q + 36/7*q**x + 116/7*q**2 + 16/7 = 0. -2, -1, -2/9 Let f = 167272/250909 - -2/752727. Factor -f*k**2 - 2*k + 0 + 1/6*k**3. k*(k - 6)*(k + 2)/6 Suppose 2*i - 12 = 739*v - 722*v, 3*i = v + 67. Suppose -6/5*h**v + 6 - 8/5*h = 0. What is h? -3, 5/3 Let d be 129/(-51) - (0 + -3). Let k be (70/1547*13)/1. Factor k*x**3 - 16/17*x + 14/17*x**2 - d. 2*(x - 1)*(x + 2)*(5*x + 2)/17 Let g be 10*1/(-6)*(28/(-350) + 0). Let b(x) be the first derivative of 1 - 2/5*x**2 - 2/5*x - g*x**3. Determine s so that b(s) = 0. -1 Let m(h) = 11*h - 41. Let j be m(4). Solve -201*b**j + 8*b**5 - 87*b**2 - 96*b + 97*b**3 - 20 - 73*b**2 - 11*b**4 - b**4 = 0. -1, -1/2, 5 Factor 18*v**2 + 3*v**4 - 31*v**3 + 0*v**4 + 99 - 156*v + 54*v**3 + 13*v**3. 3*(v - 1)**2*(v + 3)*(v + 11) Let d = -30102183/111655 - 1/22331. Let f = 272 + d. Factor f + 36/5*r - 21/5*r**2. -3*(r - 2)*(7*r + 2)/5 Factor -5*f**3 - 53/3*f + 1/3*f**4 - 17*f**2 - 6. (f - 18)*(f + 1)**3/3 Let b(y) be the third derivative of y**8/6720 + y**7/240 - 3*y**6/40 - y**5/20 - 5*y**4/24 + 17*y**2 - 2. Let d(g) be the third derivative of b(g). Factor d(k). 3*(k - 2)*(k + 9) Let h(p) be the second derivative of -1/14*p**2 - 1/21*p**3 + 104*p + 1/12*p**4 - 1/35*p**5 + 0. Solve h(g) = 0. -1/4, 1 Let x(k) = 5*k**2 - 490*k + 825. Let j be (-14)/(3 + 66/(-18)) - 6. Let w(o) = -o**2 + 70*o - 118. Let y(m) = j*w(m) + 2*x(m). Factor y(h). -5*(h - 12)*(h - 2) Let c(f) be the first derivative of -f**6/20 - 9*f**5/10 - 15*f**4/4 - 7*f**3 - 27*f**2/4 + 46*f - 29. Let d(q) be the first derivative of c(q). Factor d(i). -3*(i + 1)**3*(i + 9)/2 Let d(s) be the first derivative of s**3/12 - 385*s**2/8 - 387*s/2 + 78. Factor d(b). (b - 387)*(b + 2)/4 Factor -31*f**3 - 195 - 21*f**2 - 28*f**3 - 24*f**2 + 98*f**3 - 245*f - 34*f**3. 5*(f - 13)*(f + 1)*(f + 3) Let k(i) = i**3 + 13*i**2 - 39*i - 107. Let d be k(-15). Let j be 24/(-28)*d/(-30). Determine c, given that 4/5*c - j - 1/5*c**2 = 0. 2 Let a(n) = 94*n**3 - 1121*n**2 + 3662*n - 1256. Let j(x) = 660*x**3 - 7850*x**2 + 25635*x - 8790. Let s(t) = -15*a(t) + 2*j(t). Factor s(p). -5*(p - 6)**2*(18*p - 7) Factor -119286 + 564*r - 2/3*r**2. -2*(r - 423)**2/3 Let w = -298 - -294. Let b(m) = -7*m**4 - 13*m**3 + 9*m**2 + 12*m - 3. Let t(p) = p + 1. Let f(u) = w*b(u) - 4*t(u). Determine d, given that f(d) = 0. -2, -1, 1/7, 1 Let m(g) = g**2 + 7*g + 12. Let c be m(-4). Let c*i + 9*i - 9*i**3 + 5*i**2 + 0*i + 6*i**2 - 6*i**4 - 5*i**2 = 0. What is i? -3/2, -1, 0, 1 Let j(n) be the third derivative of n**5/210 + 9*n**4/28 + 50*n**3/21 + 1310*n**2. What is s in j(s) = 0? -25, -2 Suppose -20*l + 17*l + 15 = 0. Let a be (9/(-6))/(l/(-10)). Factor 0*n**3 - 2 + 3*n - 3*n**3 + 2*n**a. -(n - 1)**2*(n + 2) Let w(p) be the first derivative of p**3/3 + p**2/2 + 7*p + 140. Let n(v) = -2*v**2 - v - 15. Let c(m) = 6*n(m) + 14*w(m). Determine k so that c(k) = 0. -2 Let l(r) = -r**2 + 12*r + 3. Let w be l(12). Factor -8*d**2 + 30*d**2 - 25*d + d**3 + w*d**3 - 2*d**3 - 27*d. 2*d*(d - 2)*(d + 13) Let x = 1/43572 - -43567/217860. Let b(v) be the first derivative of -x*v**5 - 3/4*v**4 + 0*v**3 + 0*v - 27 + 2*v**2. Factor b(u). -u*(u - 1)*(u + 2)**2 Let s(i) be the third derivative of 1/180*i**5 + 0 - i**2 - 1/36*i**4 - 5/6*i**3 + 9*i. Factor s(t). (t - 5)*(t + 3)/3 Let z(v) = -4*v**3 - 2*v**2 + 2*v + 2. Let c be z(-2). Suppose -2*w + c = -24. Factor -31 - 14 - f**3 + 2*f**2 + w*f**2 - 15*f - 4*f**3. -5*(f - 3)**2*(f + 1) Suppose -15*m = 4*m - 76. Factor 16*w**3 - 8 - 13 + 8*w**2 + 22 - 9 - 12*w - m*w**5. -4*(w - 2)*(w - 1)*(w + 1)**3 Factor 3/2*b**2 + 30 - 63/2*b. 3*(b - 20)*(b - 1)/2 Let k be 5/(-1) + 15 + (-208)/(-32). Determine t, given that 1/4*t**2 + 1089/4 - k*t = 0. 33 Factor -20/13*p + 2/13*p**3 + 16/13 + 2/13*p**2. 2*(p - 2)*(p - 1)*(p + 4)/13 Let l(f) = 3*f**2 + 765*f + 3752. Let w be l(-5). Factor 3/8*r**w + 9/8*r - 27/4. 3*(r - 3)*(r + 6)/8 Let f(j) = -15*j**3 - 587*j**2 - 5719*j - 5130. Let r(g) = 5*g**3 + 196*g**2 + 1907*g + 1710. Let v(t) = 6*f(t) + 17*r(t). Determine q, given that v(q) = 0. -19, -18, -1 Let k(t) be the second derivative of t**5/80 - 83*t**4/4 - 261*t + 9. Factor k(w). w**2*(w - 996)/4 Let v(x) = -x**2 + 17*x - 12. Let s be v(16). Let i be 1/2 + 114/(-380). Factor 0*z + 2/5*z**3 - 1/5*z**2 + 0 - i*z**s. -z**2*(z - 1)**2/5 Let y(d) = 3*d**3 + d**2 + d. Let l(h) be the first derivative of 4*h**4 - 40*h**3/3 + 3*h**2 - 51. Let r(x) = 2*l(x) - 12*y(x). Factor r(p). -4*p**2*(p + 23) Let b(q) be the third derivative of q**6/60 - 64*q**5/15 - 175*q**4/4 - 132*q**3 + 6*q**2 + 20*q - 2. Determine s, given that b(s) = 0. -3, -1, 132 Let c be 2*(-3)/16 - (-24)/64. Let n be (c - (-95)/110) + (-1)/2. Factor -2/11*b**3 + n - 4/11*b**2 + 2/11*b. -2*(b - 1)*(b + 1)*(b + 2)/11 Let w(l) be the second derivative of l**4/54 - 160*l**3/27 - 161*l**2/9 + 8*l - 9. Factor w(a). 2*(a - 161)*(a + 1)/9 Factor 2*i - 2/9*i**2 + 104/9. -2*(i - 13)*(i + 4)/9 Let l(v) be the second derivative of -26*v + 0 - 3/5*v**5 + 3*v**3 + 0*v**2 - 3/10*v**6 + 17/4*v**4. Factor l(y). -3*y*(y - 2)*(y + 3)*(3*y + 1) Suppose -3*u = 5*n + 115, 3*u + 92 = -4*n + 5*u. Let k be 24/9 - n/(-12). Find o, given that -3/4*o**2 - k + 3/2*o = 0. 1 Let q(x) be the third derivative of -35/2*x**3 + 1/4*x**4 + 0 - 19*x**2 + 1/20*x**5 - 9*x. Solve q(w) = 0 for w. -7, 5 Let c be (85/(-15) + 5)*66/4. Let p(h) = -5*h**3 + 35*h - 30. Let x(s) = -10*s**3 + 70*s - 60. Let n(f) = c*p(f) + 6*x(f). What is v in n(v) = 0? -3, 1, 2 Let j = 289/362 - -8405/3982. Let -12/11*a - j + 2/11*a**2 = 0. Calculate a. -2, 8 Let k(t) be the first derivative of -4*t**5/5 + 3*t**4 + 44*t**3/3 - 6*t**2 - 40*t + 95. Let k(u) = 0. Calculate u. -2, -1, 1, 5 Suppose 24/7*i**2 + 440/7*i - 2/7*i**4 - 34/7*i**3 + 544/7 = 0. Calculate i. -17, -2, 4 Let v(i) be the second derivative of 1/20*i**5 - 2 + i + 0*i**2 + 2/3*i**3 + 1/3*i**4. Factor v(s). s*(s + 2)**2 Let z(n) be the third derivative of -10/9*n**3 - 5 - 5/504*n**8 + 2/35*n**7 + 19/90*n**6 + 0*n - 11/12*n**4 - 4/45*n**5 - 5*n**2. Suppose z(x) = 0. Calculate x. -1, -2/5, 1, 5 Let y(u) be the second derivative of -u**6/75 + 7*u**5/10 - 49*u**4/5 + 274*u - 3. De
{ "pile_set_name": "DM Mathematics" }
hout replacement from ggtcg. Give prob of picking 1 c and 3 g. 1/5 Calculate prob of picking 1 d and 1 t when two letters picked without replacement from dyytytyluyll. 1/33 Four letters picked without replacement from titicigngiti. Give prob of picking 1 i, 2 t, and 1 c. 1/33 Three letters picked without replacement from {d: 1, o: 3, c: 3}. What is prob of picking 2 c and 1 o? 9/35 What is prob of picking 1 z, 1 r, 1 d, and 1 s when four letters picked without replacement from rdsjz? 1/5 What is prob of picking 1 s and 3 k when four letters picked without replacement from kssssskkssk? 14/165 Four letters picked without replacement from kkkkkkkkkkkkhkkkkkkk. Give prob of picking 3 k and 1 h. 1/5 Two letters picked without replacement from xixxxxixxixxix. What is prob of picking 1 x and 1 i? 40/91 Four letters picked without replacement from fffjjjkff. What is prob of picking 2 j, 1 f, and 1 k? 5/42 Three letters picked without replacement from {i: 4, c: 5, l: 3}. Give prob of picking 3 l. 1/220 Four letters picked without replacement from {y: 2, l: 1, e: 1, s: 1, a: 5, p: 3}. Give prob of picking 3 a and 1 e. 2/143 Calculate prob of picking 2 b when two letters picked without replacement from rbnbbrrb. 3/14 What is prob of picking 2 e and 1 t when three letters picked without replacement from ttttteueutee? 9/55 Two letters picked without replacement from {w: 1, f: 1, h: 1, p: 4, o: 1}. What is prob of picking 1 h and 1 p? 1/7 Two letters picked without replacement from bbqb. Give prob of picking 1 q and 1 b. 1/2 Two letters picked without replacement from hchccccccchcccc. Give prob of picking 1 c and 1 h. 12/35 Three letters picked without replacement from {v: 1, x: 13, y: 3}. What is prob of picking 2 y and 1 v? 3/680 Four letters picked without replacement from eekkkkkkeekee. What is prob of picking 1 e and 3 k? 42/143 What is prob of picking 2 y when two letters picked without replacement from {p: 3, w: 1, f: 1, y: 6, u: 1}? 5/22 Four letters picked without replacement from {t: 1, m: 2, s: 8, o: 2, n: 1}. Give prob of picking 1 o, 1 n, 1 m, and 1 t. 4/1001 Three letters picked without replacement from bccbsgcgjggcjbcbggcc. What is prob of picking 1 j, 1 b, and 1 c? 14/285 Four letters picked without replacement from {o: 1, t: 1, m: 1, i: 2, x: 1, u: 1}. What is prob of picking 2 i, 1 m, and 1 u? 1/35 Calculate prob of picking 1 k and 1 o when two letters picked without replacement from bctzcobkz. 1/36 Four letters picked without replacement from uyyyuyyyuzuuuzyuuzu. What is prob of picking 3 z and 1 u? 3/1292 Two letters picked without replacement from ttsfftsftt. Give prob of picking 2 f. 1/15 Four letters picked without replacement from {b: 2, k: 1, h: 8, y: 7}. Give prob of picking 1 h, 1 y, 1 k, and 1 b. 28/765 Four letters picked without replacement from {d: 14, m: 1, i: 2, c: 2}. What is prob of picking 1 m, 1 d, and 2 i? 7/1938 What is prob of picking 1 e, 1 p, and 1 a when three letters picked without replacement from urpppaeppzuappp? 16/455 Two letters picked without replacement from {l: 10, o: 3, c: 1, e: 4}. Give prob of picking 1 c and 1 o. 1/51 Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {t: 18, g: 1}. 2/19 What is prob of picking 2 z and 2 l when four letters picked without replacement from lzzzlzzzlzuzlzzllllz? 308/969 What is prob of picking 3 a and 1 b when four letters picked without replacement from {s: 1, b: 1, a: 9}? 14/55 Four letters picked without replacement from {e: 7, l: 3}. What is prob of picking 4 e? 1/6 Calculate prob of picking 1 g and 1 i when two letters picked without replacement from ffffgifiififf. 2/39 Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {a: 7, i: 3}. 7/15 Four letters picked without replacement from qntnitt. What is prob of picking 2 q and 2 t? 0 What is prob of picking 1 k and 1 z when two letters picked without replacement from {u: 3, s: 1, r: 4, z: 3, y: 6, k: 2}? 2/57 What is prob of picking 1 s and 1 e when two letters picked without replacement from {e: 3, s: 9}? 9/22 Two letters picked without replacement from jjjjjjj. Give prob of picking 2 j. 1 Calculate prob of picking 2 y and 2 e when four letters picked without replacement from yyyyeyyyee. 3/10 Three letters picked without replacement from ttwtwwwttt. Give prob of picking 2 w and 1 t. 3/10 Calculate prob of picking 1 a, 2 o, and 1 j when four letters picked without replacement from opopjhhjhbpao. 6/715 Two letters picked without replacement from rittrirt. Give prob of picking 1 t and 1 r. 9/28 Two letters picked without replacement from {e: 6, a: 1, w: 5, c: 5}. Give prob of picking 2 c. 5/68 Three letters picked without replacement from wwcwwwctct. Give prob of picking 2 w and 1 t. 1/6 Four letters picked without replacement from {q: 2, t: 7, z: 3}. What is prob of picking 2 t and 2 q? 7/165 Calculate prob of picking 2 c and 1 m when three letters picked without replacement from {c: 5, o: 2, a: 5, b: 1, m: 1, w: 1}. 2/91 Three letters picked without replacement from {w: 2, e: 1, d: 2}. What is prob of picking 1 d and 2 w? 1/5 Calculate prob of picking 1 w, 1 j, and 2 a when four letters picked without replacement from zwajsjjwzzasa. 18/715 Three letters picked without replacement from {z: 3, q: 13}. 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Give prob of picking 3 k. 0 Calculate prob of picking 1 v, 1 k, and 2 m when four letters picked without replacement from {v: 4, m: 6, r: 4, i: 1, k: 1, w: 2}. 1/51 Three letters picked without replacement from {z: 5, o: 2, f: 2, b: 2, g: 8}. Give prob of picking 2 b and 1 g. 8/969 Four letters picked without replacement from {d: 7, f: 6}. What is prob of picking 3 d and 1 f? 42/143 Calculate prob of picking 1 e, 1 x, and 1 m when three letters picked without replacement from {m: 2, g: 1, x: 3, e: 6, z: 2}. 9/91 Calculate prob of picking 1 k and 1 y when two letters picked without replacement from yiyrywkykw. 8/45 What is prob of picking 1 t, 1 o, and 1 m when three letters picked without replacement from {m: 9, p: 1, a: 3, t: 2, o: 2, q: 1}? 3/68 What is prob of picking 1 m and 1 u when two letters picked without replacement from {o: 1, u: 2, m: 1}? 1/3 Calculate prob of picking 4 e when four letters picked without replacement from {z: 1, e: 18}. 15/19 Four letters picked without replacement from ciifccaiifcpf. What is prob of picking 1 c and 3 f? 4/715 Two letters picked without replacement from sbebsstxxbexxesew. What is prob of picking 1 b and 1 x? 3/34 Two letters picked without replacement from {i: 5, v: 2, a: 6}. What is prob of picking 1 a and 1 v? 2/13 Four letters picked without replacement from {a: 4, i: 4, b: 3, j: 2, q: 2, f: 3}. What is prob of picking 2 a and 2 b? 1/170 Calculate prob of picking 3 s and 1 j when four letters picked without replacement from sjjssssss. 5/9 Calculate prob of picking 3 g when three letters picked without replacement from {y: 4, g: 9, j: 4}. 21/170 What is prob of picking 1 c, 2 k, and 1 r when four letters picked without replacement from {k: 2, t: 2, r: 1, c: 4}? 2/63 Two letters picked without replacement from annan. What is prob of picking 1 n and 1 a? 3/5 Two letters picked without replacement from {i: 5, s: 8, x: 5}. What is prob of picking 1 s and 1 x? 40/153 Three letters picked without replacement from vavavaajvaaaaa. What is prob of picking 1 v and 2 j? 0 What
{ "pile_set_name": "DM Mathematics" }
) = r - 1. Let p(v) = 3*b(v) + 6*c(v). Let t(k) = -3*k + 1. Give 2*p(u) + 5*t(u). -3*u - 1 Let x(b) = -3*b**2 - 4*b + 3. Suppose 0*k = -4*k. Suppose k*s = 4*s - 8. Let u(j) = -2*j**s - 1 - 7*j + 9*j + 3*j**2. Calculate -5*u(o) - 2*x(o). o**2 - 2*o - 1 Let d(g) = -2*g**3 + 2*g**2 - g - 4. Let k(u) be the second derivative of -1/3*u**4 + 0 + 1/3*u**3 + 2*u + 1/5*u**5 + 9/2*u**2. Calculate -9*d(r) - 4*k(r). 2*r**3 - 2*r**2 + r Let b(g) = 2*g - 1. Let w = 8 - 8. Let j = w + 2. Let m(o) = o**2 + 10*o - 5. Calculate j*m(f) - 11*b(f). 2*f**2 - 2*f + 1 Let w(a) = -5*a + 5. Let r(p) = -6*p + 6. Let j(x) = -3*r(x) + 2*w(x). Suppose 0 = -5*u + 8 - 73. Let n(h) = 17*h - 17. Determine u*j(m) + 6*n(m). -2*m + 2 Let a(x) = x**2 + x + 1. Let h(v) = -4*v**2 - 2*v + 3. Determine -2*a(r) - h(r). 2*r**2 - 5 Let x(d) = -2*d - 27. Let p(r) = 2*r + 28. Determine 5*p(q) + 6*x(q). -2*q - 22 Let t(f) = -4*f**3 + 4*f**2 - 3*f - 3. Let l(d) = -9*d**3 + 8*d**2 - 7*d - 7. What is 3*l(a) - 7*t(a)? a**3 - 4*a**2 Let p(y) = 3*y - 10. Let f(g) = 9*g - 28. Let v(l) = -3*f(l) + 8*p(l). Let o = -8 - -6. Let z(a) = -4*a + 5. Calculate o*z(w) + 3*v(w). -w + 2 Suppose -b + l - 2 - 2 = 0, 5*b - 2*l = -17. Let q(m) = -m**2 - m + 1. Let i(d) = -4*d**2 - 5*d + 1. Determine b*q(h) + i(h). -h**2 - 2*h - 2 Suppose 0*r = 5*v - 2*r - 10, 0 = 2*v - r - 4. Let c = -3 - -2. Let a(p) = p. Let o(i) be the first derivative of i**2/2 + 3. Give c*o(f) + v*a(f). f Let s be ((-24)/(-48))/(1/10). Let b(u) = -u**2 + u - 1. Let r(p) = -6*p**2 + 7*p - 5. What is s*b(h) - r(h)? h**2 - 2*h Let q(r) = 2*r - 8. Let k(a) = -1. Determine -5*k(h) + q(h). 2*h - 3 Let j(a) = 5*a**2 - 8*a - 111. Let s(p) = 3*p**2 - 5*p - 74. Calculate 5*j(x) - 8*s(x). x**2 + 37 Let m(h) = 3*h + 5. Let n(b) be the first derivative of -3*b**2/2 - 4*b - 6. What is -5*m(d) - 6*n(d)? 3*d - 1 Let t(u) be the first derivative of -u**4/4 + u**2/2 - u + 5. Let q(f) = -4*f**3 + 4*f - 4. Determine q(o) - 6*t(o). 2*o**3 - 2*o + 2 Let b(m) = -m**2 + m - 1. Let c(z) be the first derivative of 7*z**3/3 - 9*z**2/2 + 6*z - 65. Calculate -6*b(i) - c(i). -i**2 + 3*i Let t(v) = -2*v**2 - 2*v - 3. Let n(f) = -11 - 7*f + 5 - 3 + 0*f**3 + f**3 - 7*f**2. Determine 2*n(k) - 7*t(k). 2*k**3 + 3 Let i(h) = 5*h + 6. Let f(m) = -10*m - 12. Let q(y) = -2*f(y) - 5*i(y). Let t(l) = 4*l - 3*l - 13 - 12*l. Determine 13*q(s) - 6*t(s). s Let x(n) = n**3 + 8*n**2 + 8. Let g(c) = c**2 + 1. Suppose -5*s = 5*k - 0*k - 25, -8 = -4*s. What is k*x(q) - 24*g(q)? 3*q**3 Let x = -8 - -2. Let p(d) = d + 1. Let m(f) = -4*f - 5. Suppose -c + 3*q = 1, 3*c + 3 = -5*q - 0*q. Give c*m(z) + x*p(z). -2*z - 1 Let m(u) = 6*u**3 + 4*u + 3. Let y(o) = -52 - 11*o**3 - 58 - 7*o - 56 + 161. Calculate 7*m(j) + 4*y(j). -2*j**3 + 1 Let m(z) = 3*z - 1. Let s(d) = -d. What is 2*m(p) + 7*s(p)? -p - 2 Let n = 6 + -5. Let t(v) = 2*v**2 - n + v**3 - 2 + 1 - 4*v**3. Let w(x) = 2*x**2 - 1 - 10 - 16*x**3 + 9*x**2. Give 11*t(b) - 2*w(b). -b**3 Let l(c) = 17*c**2 + 11. Let p(y) = 3*y - 3*y - 56 + 52 - 6*y**2. What is -4*l(t) - 11*p(t)? -2*t**2 Let x(k) = k - 4. Let w(v) = 4*v - 13. Calculate 2*w(r) - 7*x(r). r + 2 Let x(s) = s**2 - 4*s - 1. Let j(z) = -3*z**2 + 7*z + 1. Give 3*j(p) + 5*x(p). -4*p**2 + p - 2 Let t(l) be the second derivative of 2*l**5/5 + 7*l**4/12 + 7*l**2/2 - 5*l. Let p = 21 + -35. Let u(b) = -b**3 - b**2 - 1. Give p*u(q) - 2*t(q). -2*q**3 Let l(y) = 2*y + 25. Let t(m) = m + 13. What is -2*l(h) + 5*t(h)? h + 15 Let f(l) = 4*l**2 - 14*l**2 - 4*l**3 + 15*l**2. Let i(v) = -v**3 + v**2. Determine 2*f(p) - 11*i(p). 3*p**3 - p**2 Let b(c) = c - 4. Let h(x) = -2. Suppose 0 = -5*f + 3*f - 4. Give f*b(r) + 3*h(r). -2*r + 2 Let c(r) = -43*r**3 + 2*r**2 - 2. Let w(u) = 6150*u**3 - 287*u**2 + 287. Calculate -287*c(o) - 2*w(o). 41*o**3 Let p(g) = -g + 5. Let x(l) be the third derivative of -l**4/24 + l**3 + l**2. Let w be (0 - 2) + 0 + 22. Suppose -3*f - w = f. Determine f*p(i) + 4*x(i). i - 1 Let h(j) = 2. Let l(s) = -s - 2. Let f be (12/(-18))/(1/(-3)). Calculate f*l(u) + 3*h(u). -2*u + 2 Let d = -1 - -4. Let q be ((-12)/14)/((-4)/28). Let f(w) = -1. Let l(c) = -c + 2. Give d*l(m) + q*f(m). -3*m Let j(r) = -2*r**2 - 7*r + 6. Let b = 72 + -71. Let p(c) = c - 1. Give b*j(n) + 5*p(n). -2*n**2 - 2*n + 1 Let w(h) = 22 - 3*h - 53 + 29. Suppose -2*f = -7 - 1. Let s(d) = 2*d + 7. Let p(z) = z + 3. Let r(c) = 5*p(c) - 2*s(c). What is f*r(m) + w(m)? m + 2 Let y(t) = 9*t**2 + 2*t - 4. Let n(x) = x**2 + x - 1. Calculate 2*n(u) - y(u). -7*u**2 + 2 Let a(g) = -2*g - 4*g + 2 + 7*g**2 + 0*g. Let b(t) = 5*t**2 - 1. Let s be b(1). Let z(f) = 6*f**2 - 5*f + 2. Calculate s*a(o) - 5*z(o). -2*o**2 + o - 2 Let r(g) = 4*g**2 + 9*g + 7. Let x(y) = -y**2 - 3*y - 2. What is 2*r(s) + 7*x(s)? s**2 - 3*s Let p(h) = -h**2 - 1. Let n(d) be the first derivative of -1/2*d**2 + 2/3*d**3 + 2 + 2*d. Give 2*n(t) + 3*p(t). t**2 - 2*t + 1 Let t(r) = r - 3 - 3 + 5. Let c(i) = 7*i - 3. Suppose 10 = 5*h + 5*h. What is h*c(w) - 5*t(w)? 2*w + 2 Let l(f) = 272*f**3 - 85*f**2 + 85*f. Let w(s) = 13*s**3 - 4*s**2 + 4*s. Give 4*l(z) - 85*w(z). -17*z**3 Suppose 3*o = 2*a - 17, 0 = -3*a + 3*o - 5 + 26. Let k(y) = -2*y - 2. Let s(l) = 3*l + 3. Determine a*s(q) + 5*k(q). 2*q + 2 Let i(f) = -f + 6. Let a(d) = -4*d + 17. Give 4*a(u) - 11*i(u). -5*u + 2 Let j(y) = 14*y - 1. Let b(q) = 13*q - 1. Determine -5*b(d) + 4*j(d). -9*d + 1 Let p(o) = o**2 - 5*o + 5. Let f(g) = -g**2 + 4*g - 6. Determine 5*f(x) + 4*p(x). -x**2 - 10 Let t(r) = 5*r - 4. Suppose -3*z + 5*m - 12 = 0, 5*z - 5*m + 0 = -10. Let f(o) = -4 - o + 4 + 1. What is z*t(n) + 4*f(n)? n Let c(m) = 6076*m - 224. Let t(p) = 81*p - 3. What is 3*c(y) - 224*t(y)? 84*y Let s(m) = -3*m - 5. Let o(j) = -1. What is -3*o(y) + s(y)? -3*y - 2 Let t(p) = -2*p. Let s = -209 + 207. Let i(h) = 2*h**2 + h - 1. Let z(o) = o**2 - o. Let c(w) = i(w) - 3*z(w). What is s*c(r) - 5*t(r)? 2*r**2 + 2*r + 2 Let s(q) = -1 - 6*q**2 + 15*q**2 - 12. Suppose 4*r - r = 15. Suppose 4*i + 10 = 5*v - 14, 4*v = r*i + 39. Let a(m) = -5*m**2 + 7. Determine i*a(o) - 6*s(o). o**2 + 1 Let m(a) = 4 - 3*a + 0*a + 2*a. Let t be (4 - 174/18) + (-1)/3. Let u(s) = -1. Determine t*u(i) - m(i). i + 2 Let b be 0/(-1)*2/(-4). Suppose b*n = -4*n. Suppose t + 2*t + 18 = n. Let d(j) = 9*j + 4. Let u(a) = 5*a + 2. What is t*d(g) + 11*u(g)? g - 2 Let b(f) be the second derivative of f**5/10 + f**4/3 + f. Let x(i) = 3*i**3 + 5*i**2. Determine -5*b(q) + 4*x(q). 2*q**3 Let o(a) = -7*a**2 - 6*a. Suppose -2*q + 10 = -5*s - 17, 4*q + 4*s = 12. Let k be 0 + 3 + -2 + 0. Let d(z) = z**2 + z. What is k*o(j) + q*d(j)? -j**2 Let n(o) = -1. Let d(j) be the first derivative of 3*j**4/4 - 2*j + 4. What is -d(s) + 2*n(s)? -3*s**3 Let i(r) be the third derivative of r**6/40 + r**5/15 + r**4/4 - 5*r**3/6 + 38*r**2. Let j(d) = -d**3 - d**2 - d + 1. Give -i(z) - 4*j(z). z**3 - 2*z + 1 Let g(b) = b - 2. Let j(s) = s - 4. What is 7*g(i) - 3*j(i)? 4*i - 2 Let w(m) = -5*m**3 - 4*m**2 + 4*m - 4. Suppose 24 = 3*p - p. Let f = 8 - p. Let u(v) = -v**3 - v**2 + v - 1. What is f*u(g) + w(g)? -g**3 Let b(f) = -f**2 - 13*f - 5. Suppose -4*a - p + 4 = 0, -5*a + 4*p - 2 = 7*p. Let c(k) = 3*k + 1. Determine a*b(n) + 9*c(n). -2*n**2 + n - 1 Suppose 13 = -8*g - 3. Let u(k) be the second derivative of 2*k**3/3 + k. Let n(w) = -13*w - 1. Determine g*n(t) - 7*u(t). -2*t + 2 Let a(w) = 21*w + 2. Let q(y) = 190*y + 19. Give -19*a(l) + 2*q(l). -19*l Let d(j) = j**3 - 11*j**2 - 11*j - 11. Let x(b) = b**2 + b + 1. Let k(z) = -17*z - 6. Let g be k(-4). Suppose 2*n = -g + 18. Determine n*x(o) - 2*d(o). -2*o**3 Let l(o) = 2*o**2 + 2*o - 2. Let v(t) = -2*t**2 - 2*t + 1. Give -4*l(y) - 5*v(y). 2*y**2 + 2*y + 3 Let x be (-6)/18 + 10/3. Let m(u) = -6*u**2 - 5. Let f(s) = -3*s**2 - 3. Give x*m(y) - 5*f(y). -3*y**2 Suppose 2*f = -4*m + 6, -5*m = -5*f - 10 - 5. Let v(b) = -3*b**2 - 4. Let p(q) = -7*q**2 + q - 9. Calculate m*p(z) - 5*v(z). z**2 + 2*z + 2 Let t = 1 - 4. Let w be 1 + 6*2/t. Let n(c) = 2*c**3 - 6*c + 8. Let a(m) = 0*m**3 - m**3 + 3*m - 3 + 0*m - m. What is w*n(k) - 8*a(k)? 2*k**3 + 2*k Let z(s) = -5*s**3 - 6*s**2 + 6*s - 11. Let b(v) = -14*v**3 - 17*v**2 + 17*v - 32. What is 6*b(a) - 17*z(a)? a**3 - 5 Suppose 0 = 3*z - 4*s - 2, 3*s = 4*z - 0 - 5. Let a(j) = -z*j - 2*j - 4 + 1. Let w(u) = u +
{ "pile_set_name": "DM Mathematics" }
: g or v? v Suppose 4*m - 4*y + 16 = 0, 2*m + 2*y - 10 = -2*y. Which is smaller: m or -3/55? m Let s(k) = k**2 - 48*k - 15. Let u be s(47). Is u <= -61? True Let q = -2677 + 13428/5. Let r(l) = 34*l - 264. Let j be r(8). Is q less than or equal to j? False Suppose 6 = 5*q - 24. Let p be (-979)/66 + (-1)/q. Which is bigger: -16 or p? p Let u(v) = 8*v**3 + 1. Let n(g) = 9*g**3 + g + 2. Let j(c) = -2*n(c) + 3*u(c). Let z be j(-1). Are z and -5 non-equal? False Let t = 0 - -0.1. Which is bigger: t or 109? 109 Let h be (-1)/2*(8 - 6). Let c be (-13)/65 - (h - -1). Let b be 0/(5 + 0 + -3). Which is smaller: b or c? c Let g(z) = 2*z**3 - 14*z**2 + 12*z. Let w be g(6). Let b be 84/(-621) - 4/(-18). Which is bigger: b or w? b Let x be (-354)/(-42) + (-1)/(-1)*-3. Which is bigger: 6 or x? 6 Let y be 4 - (-7)/(-35)*0. Is 24/5 at least as big as y? True Let r = -23 - 13. Let u be r/(-7) + (-2)/14. Suppose 2*g = g + 4*w, -g = -3*w + u. Is g greater than or equal to -20? True Let z(m) = -m**3 + 19*m**2 - 35*m - 13. Let k be z(17). Let s be (-15)/k - (-2 - 11/(-6)). Which is smaller: -7 or s? -7 Suppose 9*x + 42 = -2*z + 10*x, 0 = 4*z - 3*x + 88. Is z at least -15? False Suppose a - 5*p = 53, a + 0*a = -3*p + 13. Suppose 29*j - a*j = 0. Which is bigger: -1/34 or j? j Suppose -251 = 4*f + 5*q, -7*f + 2*f - q - 298 = 0. Let p = f - -58. Which is smaller: p or 2/29? p Let h(d) be the second derivative of d**4/12 + 5*d**3/6 + 5*d**2/2 - 3*d. Let u be h(-5). Suppose u*j + 22 = 2*a + 52, 0 = -3*j - 4*a + 44. Does 6 = j? False Let p be (-16)/20 + 855/(-25). Let z = p - -42. Which is bigger: 9 or z? 9 Let i(n) = -n**3 + 9*n**2 - 2*n - 1. Let o be i(9). Is -8 smaller than o? False Let y = -7 + 7. Suppose 0 = -3*s - 2*b + 5*b + 36, -s - 2*b = y. Suppose m + 3*m + s = 0. Which is greater: -3 or m? m Let n = 0.012 + -2.012. Let d be 15/168 + (-2)/(-7). Do n and d have the same value? False Let f be -21 + (-4 - (0 + -4)). Let m be (f - 0)/((-3)/5). Let i be 3/5 + m/25. Is 1 not equal to i? True Let q be -4 - ((-115)/(40/8) + -7). Which is greater: q or 1? q Let x(p) be the third derivative of 4*p**4/3 - p**3/3 + 10*p**2. Let n be x(-1). Let q = 28 + n. Is -7 smaller than q? True Let g(p) = p**3 + 15*p**2 + 22*p - 15. Let v be g(-13). Is v < 189/5? True Let y = -117 - -210. Suppose -11*h = -y + 379. Is h at most as big as -2/7? True Let r = 24 + -21. Suppose -r*p + 3 = -4*p. Let t = -0.06 + -0.14. Which is bigger: t or p? t Suppose 29 = 2*d + 7. Let w(s) = -3*s - 8. Suppose 4 = n + 10. Let q be w(n). Do d and q have different values? True Suppose 15 + 5 = 5*y. Suppose -3 + 20 = -4*x + 3*r, r = y*x + 27. Let t be 0 - (-6)/(-3) - 6. Is x > t? False Let v = -28 - -34. Suppose -v = -s + 32. Let p = s - 43. Is p > -1? False Suppose 6*j + f + 158 = j, 70 = -2*j + 3*f. Let v = -19 + -14. Is j less than v? False Suppose 0 = 4*a - 7*a - 27. Let r = a + -2. Which is greater: r or -8? -8 Let f = -386 + 245. Let h = f + 275/2. Which is greater: h or -4? h Let n = -0.07 - -0.09. Let x = n + -0.12. Let i be 6/27 - (-252)/(-405). Is i less than x? True Suppose -88 = -32*f + 28*f. Is 22 at most as big as f? True Let p = 3731/91545 + -9/359. Let x = p - 14/255. Which is smaller: x or 0? x Let p = 12744 + -12744. Let l = 3 - 3.9. Is p greater than or equal to l? True Suppose 0 = -5*b - 2*o - 2557, 4*o + 1030 = -2*b + 5*o. Which is smaller: -514 or b? -514 Let q = 8.11 + -0.08. Let d = 7 - 15. Let n = d + q. Which is smaller: n or -1/4? -1/4 Suppose g - 5 = 2. Let p(h) = -5*h - 1 + 5 + g*h**2 - 1 - h**3. Let j be p(6). Is 8 at least as big as j? False Suppose 3*j = 5*l + 2118, 15 = -3*l - 2*l. Do 700 and j have the same value? False Let d = 3.5 - 3.4. Suppose -1 - 10 = -p. Let i = p + -21/2. Is d at least as big as i? False Let m = 26 - 76/3. Let x = 8698/6519 - 2/2173. Is m greater than or equal to x? False Let n = -254.1 - -244. Let u = n - -10.1. Which is smaller: u or -7? -7 Let n(l) be the third derivative of -l**5/15 + l**3/6 + 8*l**2. Let q be n(-1). Let p be -2*(-3)/q*-3. Which is bigger: 5 or p? p Let b(c) = -6*c**2 + c + 5. Let a be b(-2). Do -18 and a have the same value? False Let a be ((-66)/7)/((-62)/434). Which is smaller: 1/5 or a? 1/5 Suppose 0 = -5*v - 25, -3*x + v + 4*v = -22. Do x and -21/13 have different values? True Let c = 3 - 0.5. Let l = 108.9 - 109. Let n = l + c. Which is smaller: n or -1/3? -1/3 Let v = 12 - 11.82. Let g = -61.18 - -59. Let k = g + v. Which is smaller: k or -2/13? k Let a(b) = b**2 - b. Suppose j - 4 = 0, 0 = -l + 6*l + 2*j - 13. Let o be a(l). Suppose 2*z + 10 = 5*d + z, -20 = 5*d + 5*z. Which is smaller: d or o? o Let t be (28/7)/((-2)/(-1)). Let w be (-2)/(-374) + t/(-11). Suppose -2 = -4*k + 2. Which is smaller: k or w? w Let f = -1184 - -1684. Is f greater than 502? False Suppose 108*c = 84*c - 768. Which is greater: -185/6 or c? -185/6 Suppose -p = 5*y - 10 + 1, 2*y = 4. Let n be (-8)/(-4) + -3 + p + -2. Which is smaller: -8/3 or n? n Suppose -2*y - 3*y = -5*d - 5, -2*y = 5*d - 9. Let r = -28 + -6. Let g be (-6)/(-24) - r/56. Which is greater: g or y? y Suppose 8*s - 2*s + 72 = 0. Let a be (-2)/s - (-29)/(-174). Is a at least -8/13? True Let m(q) = 1 + q**3 - 5*q**2 - 3*q - q - 7. Let z(s) = 2*s**3 - 5*s**2 - 3*s - 6. Let b(f) = 3*m(f) - 2*z(f). Let j be b(-4). Which is smaller: j or 3? j Suppose 0 = -n - 4*u - 55, -4*n + 3*n - 27 = -3*u. Let m = 77 + n. Which is bigger: m or 75/2? m Let u(m) = m**3 + 52*m**2 + 2*m + 84. Let l be u(-52). Let h be (19/(-2))/((-2)/(-4)). Is l smaller than h? True Let g be 1/((-9)/(-6)*4/(-6)). Let o be ((-2)/12)/((-2)/(-20)). Do o and g have the same value? False Suppose 4*b = 4*g + 1004, -4*b + g = -617 - 381. Suppose -b + 24 = 5*w. Let a be 4 - 9/(w/(-2)). Which is bigger: a or 5? 5 Suppose 3*p - 18 = 18. Let l(c) = c**3 - c + 1. Let n be l(1). Let t be n/(4/p*-7). Which is greater: 0.1 or t? 0.1 Let b(k) be the second derivative of -1/4*k**4 + 0 + 2/3*k**3 - 3/2*k**2 + 4*k. Let c be b(2). Is c < -6? True Let k = -302 - -11176/37. Let t(z) = z**2 + 4*z + 4. Let r be (2 + 2 + -1)*(16 - 17). Let o be t(r). Which is greater: o or k? o Let c(k) = 12*k**3 + 4*k**2 - 2*k - 1. Suppose -5*d - 10*n + 7*n = -20, d - 4*n + 19 = 0. Let g be c(d). Which is smaller: 37/3 or g? 37/3 Let q(l) = l**3 - 9*l**2 - 10*l - 2. Let i be q(10). Is i at least 0? False Let v = 85 + -13. Let x = 74.9 - v. Let p = x - 3. Which is smaller: -2 or p? -2 Suppose -7*g - 17 = 53. Suppose -2*u + 30 = -4*u. Let t be (-12)/u*50/(-4). Is g less than t? False Let w(i) = -16 + 3 - 3*i + i + 0*i. Let f be w(-6). Let t = -3 - f. Are -2 and t equal? True Let a = -10 - -6. Let u be (-35)/6 - 100/(-75). Which is bigger: a or u? a Let m(u) = u**2 + u - 10. Let n be m(-6). Suppose 3*d - n = 7*d. Let y(v) = -v**2 - 4*v + 6. Let g be y(d). Which is smaller: 3 or g? g Let a = 2 + -2. Let h(w) = -6*w - 26. Let k be h(-7). Suppose -4*v = z - 2, a = 3*z + 3*v - v - k. Which is bigger: z or -1? z Let y be -6*(0 - 9/6). Let x = y + -6. Suppose -x*s = -3*o + 15, 0 = -6*s + 2*s + 5*o - 18. Which is greater: -6 or s? -6 Let w = -359 - -358. Do -59 and w have the same value? False Let v(w) = -w**3 + 27*w**2 - 25*w - 21. Let t be v(26). Suppose 0 = -4*y + x + 14, -2*y - 3*x = -0*x. Let k = 0 + y. Is k less than t? True Let z be (0 + 0)*(0 - 1). Suppose 59*r - 50*r = 18. Suppose z = -4*q + 3*v + 31, -q + r*v + 3 = -6. Which is smaller: q or 8? q Suppose 0*m - 5*m - 151 = 2*s, 73 = -s - 2*m. Let t be (s/(-12))/(6/16). Let a be 10/t + (6 - 8). Which is smaller: a or 0.1? a Let l be (626/(-104) - -6)/(4/10). Which is greater: l or -1? l Let c be (-4)/10*(5 - -250). Let v be c/9 - (-2)/(-3). Let p be (-2)/(-1 + v/(-8)). Is p greater than or equal to -5? True Let l be (-4)/14 - 496/(-1932). Suppose 16*w = 10*w + 6. Is l less than w? True Suppose -5*y = 4*h - 164, 5*h - 4*y - 80 = 125. Suppose h = 3*t - 16. Let f = t - 18. Is f not equal to 1/10? True Let f(z) = -8 + 19 - 2*z - 7. Let c be f(2). Suppose c*y - 2*n = -3*y - 11, 0 = -y + 4*n - 17. Is y > 0.8? False Let l be 1 + 13/(-11) + 0. Let g = 28 - 26.1. Let j = g + -2. Are l and j equal? False Suppose -2*x + 5*g - 5 = -x, -2*x + 5*g = 5. Suppose x*z + 48 = -4*z. Are -12 and z nonequal? False Let b be -4*(-2)/(24/(
{ "pile_set_name": "DM Mathematics" }
- 2*w - p, y + 0*w - 22 = -3*w. Is y composite? True Let s = 471 - -95. Suppose -p + 4*p - o = s, 8 = -4*o. Suppose 210 = 2*b + 5*r, 0 = 2*b + 2*r - p - 10. Is b a composite number? True Let x(h) = h**3 - 13*h**2 + 13*h + 2. Let g(f) = 11*f**2 + 2*f - 1. Let v be g(1). Is x(v) prime? False Suppose 0 = 12*c - 18489 + 4533. Is c a prime number? True Let s = 1776 - 883. Is s a composite number? True Let l(j) = -13*j**2 - 8*j - 8. Let x(c) = 12*c**2 + 7*c + 7. Let m(u) = 6*l(u) + 7*x(u). Let n be m(-1). Suppose n*g = -g + 2093. Is g prime? False Suppose 6*i + 232 - 4426 = 0. Is i prime? False Suppose 359*k - 361*k + 132058 = 0. Is k a composite number? False Suppose 60*s = 91172 + 394648. Is s composite? True Suppose 2*x - 24010 = 4*n, x - 12033 = 5*n - 10*n. Is x prime? False Let c = 8 + -17. Let k = -4 - c. Suppose -k*n + 2*n = -465. Is n prime? False Suppose -5*s = -3*s - 4*c - 494, -3*s = -5*c - 743. Is s a composite number? False Let i(j) = 3*j**2 - 9*j - 3. Let p(m) = -7*m**2 + 17*m + 5. Let o(c) = -9*i(c) - 4*p(c). Is o(15) prime? False Suppose -4*t + 12 = 0, -2*n + 888 = -3*t - 4105. Let d = n + 276. Is d prime? True Suppose 2*d + 3*o - 972 = 0, 2*d - 972 = 2*o - 0*o. Let s = d + 90. Let i = s + -361. Is i a prime number? False Let s be 1/(-7) - (-500)/70. Let h(o) = -27*o. Let y be h(-1). Let v = s + y. Is v prime? False Let l(w) be the third derivative of 79*w**5/120 - 7*w**4/24 - 2*w**3/3 - 6*w**2. Let p(d) be the first derivative of l(d). Is p(6) prime? True Suppose -24*j + 19*j = 15. Is (2/(-5))/((j + 1)/970) a composite number? True Let y = -8 - -10. Suppose 0 = 2*q - 0*q - 8. Suppose -4*a - 140 = -q*s, s = -y*a - a + 19. Is s a prime number? True Suppose 5*k - 2*k = 7677. Suppose 0 = 4*c + k - 10331. Is c prime? False Let w(d) = -157*d**3 + 3*d**2 + 8*d + 7. Is w(-2) a composite number? False Is ((-6388)/6 + 0)/(10/(-285)) a composite number? True Let l be 3/(-21) + 2/14. Suppose 4*h = 3*j - 656, -5 = h - l*h. Suppose 0*k + k = 4*u + 63, 4*k + 4*u = j. Is k a prime number? False Let v = 14 - 4. Suppose 5*c = -0 - v. Is -10*237/(-6) - c prime? True Let d = 106 - 49. Let m = d - -196. Is m composite? True Let u = -39 - -69. Is (1143/(-15))/((-6)/u) a composite number? True Suppose -4*o = -5*a + 128, -4*a + 82 = -3*o - 20. Is (-2)/(-1)*(-3786)/a*-2 a composite number? False Let x(d) = -609*d**3 - 5*d**2 - 7*d - 5. Is x(-2) a composite number? False Let j be (-1734)/27 + 6/27. Let y = j + 117. Is y prime? True Let o be (84/(-49))/(4/(-1106)). Let b = 742 - o. Suppose 0 = -4*q + 328 + b. Is q composite? False Suppose 3*n - 7764 = -9*n. Is n a composite number? False Suppose 5*f + 3*h = 2*f + 9780, -3*h = 4*f - 13041. Is f a composite number? True Let d(w) = 17*w**2 - 4*w + 7. Let t be d(-5). Suppose 5*j + 37 - 57 = 0. Suppose -t = -5*s - h + 2031, 0 = 2*h + j. Is s a prime number? False Is ((-725480)/(-160))/(2/8) prime? False Is 3/((-6)/113548)*(-35)/70 prime? True Let m = -3196 + 4733. Is m prime? False Let h = 10 - 6. Suppose h*k + 944 = 2400. Suppose 5*a - a = k. Is a composite? True Suppose -4115 + 371 = 4*y. Let h = y - -1327. Is h composite? True Let o(s) = 6*s**2 - 2*s + 27. Is o(7) composite? False Suppose -2*b + 498 = -4*i, -3*i + 285 = 2*b - 220. Is b a prime number? True Suppose 1480 = 4*c - 2416. Suppose c = 2*b + 80. Is b prime? False Let u(f) = 75*f - 188. Is u(13) a prime number? True Let v(h) = 4*h**2 + 15*h - 43. Is v(-24) composite? False Suppose 135719 = 4*a + a - 4*m, 27140 = a + 3*m. Is a prime? True Let h(f) = 20*f**2 - 3*f + 14. Suppose -2*p + 5*v + 3 = -6, p - 4*v - 3 = 0. Is h(p) a prime number? False Let n(i) = -560*i - 197. Is n(-8) prime? True Suppose 2*s + 0*i + i - 846 = 0, -4*i + 423 = s. Suppose -5*u - s = -2218. Is u a composite number? False Suppose 29*c = 24*c + 10835. Is c prime? False Let y = 3 - -3. Suppose o = y*o - 20. Suppose -o*c = c - 955. Is c composite? False Let h = 47 + -47. Suppose h = f - 189 - 308. Is f a prime number? False Suppose -g = -6*g + 3*f + 272, -2*f + 2 = 0. Suppose -5*p = -4*q - 504, 4*q - 6*q - 102 = -p. Let l = p + g. Is l a composite number? True Let j(s) be the first derivative of 2*s**3/3 - 3*s**2/2 + 2*s + 3. Let u be j(2). Suppose 0 = -u*f - 76 + 788. Is f composite? True Let x(u) = 1869*u + 31. Is x(8) composite? False Let s = 98 - 34. Let a = -14 - s. Let k = -1 - a. Is k a prime number? False Let h = 1084 + -582. Is h a composite number? True Is (0 + 17/2)/((-103)/(-2678)) composite? True Suppose 0 = -p - 2*t + 13, p + 2*p - 4*t = -1. Let l(d) = 4*d**2 + d. Let y(i) = -4*i**2 - i. Let q(f) = p*l(f) + 4*y(f). Is q(7) composite? True Suppose 3*d - 6 + 0 = 0, 2*o + 2 = 4*d. Let x(t) = 29*t**2 - 8*t - 2. Is x(o) a composite number? True Let u = -62 + 63. Suppose -354 - 444 = -3*y - 3*n, u = n. Is y prime? False Let k(t) = -5*t - 39. Let j(o) = -3*o - 19. Let s(b) = 13*j(b) - 6*k(b). Suppose -2*d - 35 = -15. Is s(d) composite? True Suppose 4*y = 8385 + 5243. Is y prime? True Let s(p) = p**2 + 8*p - 5. Let m be s(5). Let w be (-1)/(((-11)/m)/11). Suppose -4*v + w = 20. Is v a composite number? True Suppose -4*a = -4*r + 39840, -5*r + 7746 = -2*a - 42069. Is r a composite number? True Suppose -3*k + i + 23 = -4*k, -4*i + 58 = -2*k. Suppose 0 = 4*z - 2*d + 2425 - 459, -5*z - 4*d = 2490. Is 10/k - z/10 prime? False Let x(n) = 167*n + 154. Is x(45) prime? True Let c(g) = 464*g + 11. Let i be c(10). Let o = 6730 - i. Suppose -4*r + o - 659 = 0. Is r composite? True Let c be -1 + 2 - (128 - -1). Let v = 755 - c. Suppose -2*y - 2*n - n + 592 = 0, -3*y - 2*n + v = 0. Is y composite? False Is 4162/(-5)*100/(-40) prime? True Let j(y) = y + 1. Let x be 1*(-4)/(-12)*-3. Let f be j(x). Is 37 - 1 - (-1 + f) a prime number? True Is (-27)/18 - (0 + 9231/(-6)) prime? False Let t = -127 - -197. Suppose -270 = -4*b - 2*r + 4*r, -5*b + 2*r = -340. Suppose 4*v = b + t. Is v a prime number? False Let h = -6 - -29. Let c(q) = -q**3 + 22*q**2 + 24*q - 16. Is c(h) a composite number? False Let z(c) = -2*c**3 + 4*c**2 + 8*c - 16. Let x be z(4). Is 160/(-25)*x + (-1)/5 prime? True Suppose 0 = 2*y - 0*y - 8. Suppose -4*g = -0*g + 2*x - 382, y = -4*x. Suppose 53 = l - g. Is l composite? False Let k = -567 - -938. Suppose 4*z = -3*y + 1424, 4*y + k = z + y. Is z a composite number? False Let t = 331 + 40. Let n = 1686 - t. Is (n/(-15))/(2/(-6)) prime? True Let w = -8 + 7. Let x be w - (-7*70 + -4). Suppose -3*t = -2*n + 200, 2*n = -3*n + 4*t + x. Is n a composite number? False Let t be (112/12)/((-2)/(-111)). Let c = -4 + 9. Suppose 0*x = c*i + x - t, 4*i = -x + 415. Is i prime? True Suppose 2*c = b - c + 5, 4*b + 2*c + 20 = 0. Let g = 7 + b. Suppose -k - 34 = -g*k. Is k composite? True Let a(q) = 12*q**2 + 7. Is a(5) prime? True Let l(d) = d**2 - 5*d - 2. Let p be l(4). Let f be (-1 + 1)*p/(-12). Suppose 4*s - 40 = 3*z, f = -3*s + 3*z + 2*z + 30. Is s composite? True Let d(n) = -4*n - 4. Let c(v) = 1. Let q(f) = 6*c(f) + d(f). Suppose -5*k - 25 = -0*k. Is q(k) a prime number? False Suppose 3648 = 4*o + 4*s, -o - 3*s + 380 = -542. Is o prime? True Let l(m) = m**3 - 5*m**2 + 6*m - 6. Let f be l(4). Suppose 4 = f*a + 2*a. Is 300 - 4*a/4 prime? False Let l(x) = -698*x - 6. Let g be l(-2). Is g/15 - 8/(-6) prime? False Let i be (-5)/1 + 1 + -1781. Let s = -898 - i. Is s prime? True Is (-731978)/(-65) - (-1)/(0 - 5) a prime number? True Let v(n) be the second derivative of -11*n**5/20 - 5*n**4/4 + n**2 - n. Let k(g) = -6*g**3 - 7*g**2 + 1. Let f(i) = 13*k(i) - 6*v(i). Is f(-2) prime? False Suppose 2*d - 88 = -0*d. Let g = 190 - 190. Suppose s + s - d = g. Is s a prime number? False Suppose 3*b + 16786 = 5*t - 0*b, t + 5*b = 3374. Is t composite? False Suppose 3*b = 1 + 2. Suppose 58 = 3*q + b. Is q prime? True Suppose h + 5*l - 1647 = 0, 5*h - 2*l - 1633 = 4*h. Is h composite? False Suppose m = 4*m + 4941. Let i = 2890 + m. Is i prime? False Let k(f) = f**3 - 11*f**2 + 11*f + 4. Let v be k(10). Let u(t) = 23*t - 35. Is u(v) prime? False Let f = -2 - -9. Let y(m) = 3*m**2 - 12*m - 10. Is y(f) a composite number? False Is (0 + 1)/((-27)/(-24489)) composite? False Is ((-17)/(-34))/((-1)/(-2174)) composite? False Let b be (-34)/85 - (-86)/(-10). Is 42/b*(-3 - (-405)/(-6)) composite? True Let x = -27021 +
{ "pile_set_name": "DM Mathematics" }
3.51 - o. Let s = 5.05 - 0.05. Which is the second biggest value? (a) s (b) 0.3 (c) k b Let h = 232.45 + -232.35. Which is the second smallest value? (a) 0.6 (b) 0 (c) -1/7 (d) -4 (e) h c Let g = 8.02 - -0.58. Let t = g - 9. Let f = 2.3 - 2.2. Which is the third biggest value? (a) 1 (b) f (c) t c Let q be ((-9)/(27/6))/((-4)/5). Let s = 2425/7 - 347. Let t be 0/(-7) + 2/7. What is the third biggest value in s, t, q? s Let z = 3.6 - -0.4. Let v = -153.796 + -0.204. Let h = v + 155. What is the second biggest value in -17, h, z? h Suppose 14*s - 30 = 13*s + 2*b, -186 = -5*s + b. Let t = -911 - -914. What is the fourth smallest value in t, 2/13, s, 1/2? s Let n be (-7)/(14/8) - (-352)/60. Let y = n + -74/45. Which is the third biggest value? (a) -0.1 (b) y (c) -5 (d) -0.04 a Let o = 31 + -36. Which is the biggest value? (a) -2/3 (b) -0.44 (c) o (d) -3/2 b Let o(z) = z**3 - z**2 - z - 5. Let r be o(0). Let p = 198.18 + -197.18. What is the smallest value in p, r, 1.3? r Let f = 0.1 + -0.1. Let n = f + -4. Let l be 22/(-4) - (85 + -90). Which is the second smallest value? (a) l (b) -0.3 (c) n a Let x be (-2)/6 - (13 + 2493/(-189)). What is the second biggest value in 1/4, -0.2, x? x Let x = 1693.9 - 1703.9. Which is the fifth smallest value? (a) x (b) -4 (c) 1 (d) -1/14 (e) 4/3 e Let u = -11865 + 11865. What is the second biggest value in -0.2, -56, -0.4, u? -0.2 Suppose 639 = 5*v + 544. Which is the third biggest value? (a) 11 (b) 1/7 (c) v b Let j be -5 + ((-18)/(-42) - -4). Which is the second biggest value? (a) 1/3 (b) 0.02 (c) 11 (d) j a Let q(f) = 2*f**3 - 46*f**2 + 6*f - 7. Let x be q(22). Let h = x + 14332/17. Which is the second biggest value? (a) 0.2 (b) -5 (c) -0.03 (d) h d Let n be 3 - (18 + -11 - (1 - -6)). Which is the third smallest value? (a) n (b) -2.8 (c) -3 (d) -2/5 d Let j = -259 + 258.6. What is the third biggest value in 11, -1/7, 1/7, j? -1/7 Suppose -t = q + 25, -3*t + 4*q = -5*t - 56. Suppose 44*v - 47*v - 246 = 0. Let i be v/60 - t/110. Which is the second smallest value? (a) i (b) 2/7 (c) 1/3 b Let g be 7 + -1 + 1 + (-253)/33. What is the smallest value in 181, g, 4? g Suppose p + 3 = 6. Let r = -414.36 + 414.16. Let t = -0.05 - 4.95. Which is the third smallest value? (a) r (b) t (c) p c Let j(x) = -3*x**2 - 208*x - 271. Let c be j(-68). What is the second biggest value in 3, c, 4, -4/7, -2/3? 3 Let c = -67277/9 - -7475. What is the second biggest value in c, 2/11, -2, -2/11? -2/11 Let z be (2 - 4)*(-6)/3. Let q = 147.51 - 150. Let n = 2.51 - q. Which is the biggest value? (a) -2 (b) n (c) 0.3 (d) z b Let j be (3/7)/(16 + (-2622)/161). What is the biggest value in 0.3, 1/5, -1/4, j? 0.3 Let g be -3 - (-6 - (-114)/30). Which is the biggest value? (a) 3/40 (b) 0.1 (c) g (d) 0.2 (e) -0.3 d Suppose 21*t - 246 + 225 = 0. Which is the smallest value? (a) 2 (b) t (c) -156 (d) -0.3 c Let l = -104.79 + 100.6. Let z = l + -0.81. What is the biggest value in 0.5, 2/19, z, 0.1? 0.5 Let w be (23 - (-1169)/(-49))/(48/42). Let m = -2 - -2.3. Which is the second biggest value? (a) w (b) m (c) 4 b Let m = 1405.3 - 1405.33779. What is the third biggest value in 1/8, -2/3, m? -2/3 Let w = 0.23 - 111.23. Let a = -109 - w. Let f = 0.08 + 0.22. What is the third biggest value in 3, a, f? f Let n = 163.5 - 4.5. Let l = n + -154. Which is the fourth biggest value? (a) l (b) 0.3 (c) -5 (d) 4 c Suppose 2*i - 3*k = -13 - 2, 3*k = -15. Let l = 47/3 + i. What is the second biggest value in 4.8, -3, l? l Let i = 0.4 + -0.2. Let g = -180.64 + 180.64. Which is the biggest value? (a) g (b) i (c) 1/8 b Let z = -8014.5 - -8014. Which is the second smallest value? (a) 0.7 (b) -5 (c) 10 (d) z d Let l be -10 + 1368/68 - 20/170. Which is the third smallest value? (a) l (b) 0.049 (c) -3 a Let w = 667.8 + -669.8. What is the fourth biggest value in w, 3, -3, -16/15, 2? w Let d = 88.048 + -88. Let w = d + -0.448. Let r = -2.3 + 2. Which is the biggest value? (a) 7 (b) w (c) r a Let k = 1 + -0.8. Let p = -0.2 - k. Suppose 2*x - 4 = 0, 0 = -5*l + x + 3*x - 63. Which is the second smallest value? (a) l (b) -2 (c) p b Let u = 7154 - 422096/59. Which is the second biggest value? (a) 1/2 (b) -0.5 (c) u c Let g = -5014 + 5018. Which is the third biggest value? (a) -0.5 (b) g (c) 136 a Let d = -25.77 + 25.47. What is the biggest value in -5, -3/7, 114, d, 4/5? 114 Suppose -f = -1, 0 = -2*w + 5*f - 43 + 34. What is the biggest value in w, -0.3, -7, 9, 2/11? 9 Let f be 19/4 - (-17)/((-34)/8). What is the smallest value in -189, -4/3, f? -189 Let y = -85 + 17. Let v = -67.7 - y. What is the fourth biggest value in -9, 1/5, v, -1/7? -9 Suppose 3*u = -u, 0 = 5*a + 5*u + 50. Let y(g) = -4*g - 39. Let h be y(a). Let v(t) = 3*t. Let d be v(h). What is the third biggest value in d, -3/2, 5? -3/2 Let g be ((-8)/(-180))/(46/(-414)). What is the fourth biggest value in 5, 3, -0.011, g? g Let o = -141 - -167. Let s = -25.6 + o. Which is the third smallest value? (a) -3 (b) -0.4 (c) s c Let h = -230.015 - -230. Let u = -2.985 + h. Which is the third biggest value? (a) u (b) 1/86 (c) 5 a Suppose p - 4*p = -2*v - 6, 3*p - 6 = -3*v. Let f be -1*8/(v + 2). Let g be 2/(-3) - 5/((-105)/(-91)). Which is the biggest value? (a) 4 (b) g (c) f a Suppose -184 = -2*j - 136. Let n = 8.2 + -8.3. Which is the biggest value? (a) -3/4 (b) j (c) n b Let i = 3.93579 + 0.06421. Let o = 0.27 + -0.07. Let a be (12/105)/((-2)/(-10)). What is the biggest value in a, i, -3, o? i Let u be (-1 + 0)*1/(-2). Let h = -1/15 + 23/120. Let x = 2393 + -2395. Which is the second smallest value? (a) x (b) h (c) u (d) 1 b Let n = -0.0109 - 0.9891. Which is the fourth biggest value? (a) n (b) 0 (c) 0.03 (d) 3/2 (e) -11 a Let i = 53 - 157/3. Let a = -23.8 + 27. Let r = 2.4 - a. What is the third biggest value in i, r, -0.5? r Let v be (-3)/9*((-81)/(-45))/(-1). What is the second biggest value in -3, v, 4, 3/2, 0.07? 3/2 Let m = -2279401/12 - -190145. Let u = 781/4 - m. Which is the second biggest value? (a) u (b) 1/2 (c) 9.5 b Let z = 5 + -1. Let p = 22.2 + -624.2. Let f = p - -597. What is the second biggest value in f, z, 5? z Let o = -290 + 290.044. Let i = 63.9 + -61.856. Let k = o - i. Which is the second biggest value? (a) -2/7 (b) 1/5 (c) -3 (d) k a Suppose 12*x - 58 = 2. Suppose z + x*k = 2 + 25, 70 = 3*z + 4*k. Which is the second smallest value? (a) -3 (b) 3 (c) z b Let g = -484.01 + 454.8. Let t = -0.21 - g. Let y = -32 + t. What is the second smallest value in y, -0.1, -8? y Let t be (-24)/(-9) + 2 - (-98)/294. What is the second smallest value in -482, 0, 0.1, t? 0 Let z = 290 + -270. Which is the biggest value? (a) 1 (b) -1/5 (c) z c Let p = -472 + 471.8. What is the smallest value in -11/7, -1.4, p? -11/7 Let l = 105 - 180. Let m = l + 73. Which is the fourth biggest value? (a) -13 (b) -2/9 (c) 1 (d) m a Let k = 3151 + -3148. Which is the third biggest value? (a) -1/22 (b) -2/5 (c) -0.1 (d) k c Let q = -49.8124 - -0.8124. Which is the smallest value? (a) 5 (b) -1.7 (c) q c Let p = -51 - -50.797. Let f = 0.297 - p. What is the fourth smallest value in f, -0.5, -4/7, 3? 3 Let v = 9.619 + -850.019. Let q = 840 + v. Which is the biggest value? (a) -5 (b) -0.04 (c) q b Let c = -1368.7 + 1369. What is the third biggest value in c, 7, 1/7, -2? 1/7 Let q be 4/(-6)*(6 - (-176)/(-32)). Let f = 14 - 13.98. Which is the second smallest value? (a) -1/2 (b) 0.1 (c) q (d) f c Let m be ((-66)/240)/((-16)/(-20)). Let i = m - -141/224. Let t = -0.4 + 0.6. Which is the third biggest value? (a) 3 (b) i (c) t c Let m = 3214 + -3211. What is the third biggest value in 0.1, m, 37? 0.1 Let x be (-4)/22 + (-54431)/(-138864). Let z = x + 5/263. Let k = -1/48 - z. What is the third biggest value in 4/3, k, 0.4? k Let p = -10/21 + 29/105. Let h be -4 + 148/24 - 25/10. Which is the smallest value? (a) p (b) h (c) -15/4 c Let i = -322 + 645/2. Suppose 5*h + 5*u = 85, -6*h + h - u + 77 = 0. Which is the third biggest value? (a) i (b) -4 (c) h b Suppose -10 = -5*t - 0*t. Let w be ((-8)/10)/(1/((-475)/(-10))). Let u be (0 - w/(-14)) + 3. Which is the smallest value? (a) 2/9 (b) 4 (c)
{ "pile_set_name": "DM Mathematics" }
base 14. 180 -87 (base 10) to base 9 -106 Convert -1101010001 (base 2) to base 6. -3533 -74a (base 14) to base 15 -65d 153342 (base 6) to base 12 8852 What is 1001000101110010 (base 2) in base 13? 13c42 -1201120 (base 3) to base 8 -2351 -63604 (base 7) to base 5 -1000413 Convert -4214 (base 6) to base 13. -57a What is 5388 (base 9) in base 13? 1a63 What is -162621 (base 7) in base 9? -48156 Convert 7c3 (base 14) to base 8. 3007 -132303 (base 4) to base 16 -7b3 Convert 10132322 (base 4) to base 7. 104351 What is 646 (base 9) in base 5? 4103 10665 (base 10) to base 13 4b15 -11000100001111 (base 2) to base 14 -4811 What is dd4 (base 16) in base 13? 17c4 What is 112211 (base 3) in base 12? 294 Convert -bb6a (base 12) to base 10. -20674 Convert 3102034 (base 5) to base 11. 3484a Convert -1040 (base 5) to base 2. -10010001 Convert -111101011 (base 2) to base 5. -3431 -1100112201 (base 3) to base 13 -c184 4021 (base 8) to base 11 1608 101210203 (base 4) to base 9 118647 2884 (base 10) to base 8 5504 Convert 100011000 (base 2) to base 13. 187 Convert -2557 (base 9) to base 12. -1137 -4f29 (base 16) to base 6 -233453 10212012 (base 3) to base 6 21005 What is -3620 (base 15) in base 13? -5310 What is 345 (base 15) in base 7? 2105 What is 36a (base 16) in base 8? 1552 Convert -8b15 (base 12) to base 9. -23138 Convert 2491 (base 15) to base 16. 1e6a Convert -542 (base 12) to base 4. -30002 What is -3263 (base 7) in base 11? -976 Convert -1313 (base 6) to base 4. -11031 -261 (base 10) to base 8 -405 What is 20200113 (base 4) in base 13? 12b1c What is -4cb1 (base 13) in base 5? -322320 -62c (base 15) to base 8 -2560 What is -10001111 (base 3) in base 11? -1745 440404 (base 5) to base 16 3b00 What is -1574 (base 12) in base 2? -100111101000 Convert 56365 (base 7) to base 8. 33661 -8c0 (base 16) to base 8 -4300 What is 458 (base 10) in base 16? 1ca Convert 21122 (base 4) to base 5. 4402 -10272 (base 8) to base 14 -17bc -3937 (base 16) to base 14 -54a3 What is 10012120210 (base 3) in base 2? 1111011010010000 Convert -8233 (base 12) to base 7. -56154 2064 (base 7) to base 6 3220 Convert -10000101100000 (base 2) to base 3. -102201110 What is 101001101110101 (base 2) in base 12? 10445 158a (base 14) to base 4 330012 Convert -20435 (base 6) to base 13. -1343 Convert 125564 (base 7) to base 2. 101110000111111 What is -1124340 (base 6) in base 5? -3324040 What is -3253 (base 9) in base 10? -2397 -819 (base 13) to base 12 -966 Convert -332 (base 10) to base 15. -172 Convert -996 (base 11) to base 12. -836 Convert 7617 (base 15) to base 5. 1244442 113033 (base 4) to base 7 4223 Convert -11241 (base 6) to base 13. -96a What is 69 (base 12) in base 4? 1101 -614 (base 11) to base 3 -1000110 -5520 (base 6) to base 10 -1272 What is 112112 (base 4) in base 13? 860 -7cb (base 14) to base 12 -a93 What is -102133 (base 4) in base 7? -3310 What is 233b8 (base 13) in base 4? 33231303 Convert -212312 (base 4) to base 15. -b0b What is 3eb (base 15) in base 2? 1110000000 What is 6758 (base 12) in base 5? 331234 Convert -2d68 (base 14) to base 11. -611a What is -26463 (base 7) in base 15? -2186 -72 (base 13) to base 2 -1011101 -1152 (base 16) to base 13 -2031 -4474 (base 10) to base 15 -14d4 -101100100010 (base 2) to base 12 -1796 Convert 13133 (base 4) to base 12. 33b 10020331 (base 4) to base 5 1020312 Convert 1213 (base 7) to base 11. 380 What is 27a (base 12) in base 8? 576 Convert -321 (base 16) to base 13. -498 Convert 8863 (base 9) to base 16. 1989 What is 3213 (base 5) in base 14? 22d -3736 (base 13) to base 10 -7819 Convert 1c8 (base 15) to base 10. 413 Convert -666 (base 10) to base 11. -556 What is -10001000101 (base 2) in base 6? -5021 Convert 230312 (base 4) to base 7. 11240 -222100 (base 4) to base 8 -5220 Convert -103300 (base 6) to base 11. -6457 200101101 (base 3) to base 6 142014 Convert 1220101 (base 3) to base 11. 1051 -10595 (base 15) to base 5 -3130030 2a4d (base 15) to base 8 21561 What is -2a07 (base 14) in base 6? -54303 Convert 145 (base 15) to base 14. 16a What is -277 (base 9) in base 2? -11101000 What is c3 (base 14) in base 11? 146 1040 (base 10) to base 14 544 -358 (base 10) to base 13 -217 42523 (base 6) to base 13 2850 670 (base 14) to base 6 5522 What is -373 (base 13) in base 7? -1516 What is 523 (base 8) in base 3? 110120 27 (base 10) to base 9 30 What is -122002 (base 3) in base 13? -296 1033 (base 10) to base 4 100021 Convert 1212 (base 5) to base 3. 20202 What is 483 (base 9) in base 3? 112210 What is -12012 (base 4) in base 6? -1450 What is 53546 (base 7) in base 12? 7855 What is -229a (base 12) in base 8? -7426 2150 (base 10) to base 14 ad8 20112010 (base 4) to base 14 c656 Convert -2056 (base 9) to base 14. -79b What is 101010010001 (base 2) in base 14? db3 Convert -118741 (base 9) to base 15. -16531 -17406 (base 12) to base 5 -2032124 -6a8 (base 16) to base 13 -a11 What is -211211111 (base 3) in base 14? -60cd What is -9025 (base 12) in base 15? -493b Convert -e5a (base 15) to base 10. -3235 Convert -2c26 (base 14) to base 8. -17302 Convert 11010001100101 (base 2) to base 3. 200101210 What is 23a (base 15) in base 3? 200201 What is -11011001 (base 2) in base 4? -3121 -9266 (base 10) to base 11 -6a64 1443 (base 6) to base 8 603 What is -11120130 (base 4) in base 8? -53034 -3212 (base 10) to base 4 -302030 Convert 5815 (base 13) to base 2. 11000001000011 What is -117 (base 11) in base 16? -8b -21055 (base 6) to base 9 -3808 What is 17b (base 13) in base 12? 1a7 What is -202202122 (base 3) in base 13? -6b75 96aa (base 14) to base 9 38623 Convert -4010 (base 15) to base 14. -4cd5 -1252 (base 8) to base 15 -307 What is 6716 (base 15) in base 4? 11111112 What is -550 (base 11) in base 6? -3020 What is 51 (base 10) in base 9? 56 Convert 132031 (base 4) to base 15. 88d 32057 (base 8) to base 10 13359 Convert 6660 (base 8) to base 9. 4723 What is -1202011021 (base 3) in base 15? -a2bd What is -a7a (base 11) in base 10? -1297 What is a75 (base 11) in base 7? 3524 What is 1238 (base 15) in base 11? 2a06 20420 (base 7) to base 8 11624 2622 (base 7) to base 15 466 Convert -2335 (base 15) to base 2. -1110100110011 What is 401010 (base 5) in base 4? 3011112 Convert 241 (base 16) to base 11. 485 What is 189 (base 15) in base 4? 11202 What is 21432 (base 5) in base 15? 697 Convert -9a6 (base 14) to base 11. -1487 Convert -a519 (base 15) to base 14. -ca0b 10644 (base 7) to base 9 3660 What is -2084b (base 13) in base 7? -332443 Convert 102211 (base 4) to base 6. 5301 Convert 16355 (base 8) to base 2. 1110011101101 What is -73 (base 10) in base 15? -4d -4256 (base 8) to base 16 -8ae What is -10001101010 (base 2) in base 4? -101222 What is 1875 (base 9) in base 5? 21240 What is 4504 (base 6) in base 8? 2030 Convert -128 (base 14) to base 2. -11101000 7b93 (base 13) to base 5 1023413 Convert 13b0 (base 12) to base 13. 1074 What is b6b0 (base 12) in base 5? 1120004 -62505 (base 8) to base 2 -110010101000101 Convert 1770 (base 11) to base 7. 6401 -1036 (base 12) to base 5 -24040 Convert -2a3 (base 14) to base 10. -535 -3517 (base 8) to base 7 -5312 248 (base 15) to base 10 518 What is 13011 (base 4) in base 3? 121210 1010022000 (base 3) to base 7 121251 Convert 489 (base 14) to base 10. 905 1352 (base 6) to base 11 2a4 1131b (base 14) to base 13 16024 Convert 326 (base 8) to base 2. 11010110 What is -1e2c (base 16) in base 5? -221344 Convert -36 (base 8) to base 9. -33 What is -1140215 (base 6) in base 2? -1110100100110011 Convert 246c (base 15) to base 7. 31413 What is 11101 (base 5) in base 9? 1052 What is 41244 (base 6) in base 10? 5500 What is 1e18 (base 15) in base 8? 14624 1062 (base 8) to base 11 471 -255e (base 15) to base 2 -1111100011100 Convert 112433 (base 5) to base 12. 2472 What is -257 (base 15) in base 12? -384 1100111100011010 (base 2) to base 10 53018 Convert 5a4 (base 13) to base 16. 3d3 What is -51132 (base 6) in base 15? -2002 373 (base 8) to base 2 11111011 21974 (base 12) to base 14 12368 What is -921 (base 15) in base 13? -c22 -10066 (base 7) to base 8 -4621 Convert -1151 (base 8) to base 5. -4432 What is 61a (base 13) in base 9? 1372 Convert -9ba (base 12) to base 9. -1867 What is -1365 (base 9) in base 16? -407 774 (base 13) to bas
{ "pile_set_name": "DM Mathematics" }
) 5 (c) y (d) -0.4 d Let u be (-166)/10 - ((-170)/(-50) - 4). Let l = 185 + -184.9. What is the closest to l in u, -2/3, 1/5? 1/5 Let y = 10948 + -11442.1. Let v = 494 + y. Suppose 4*a - 20 = 5*c, 4*c - 3*a = 2*a - 25. What is the nearest to v in c, -4, -6/11? c Let g = 3.36 + -5.36. Let u = -53 + 88. Let l = -34 + u. Which is the nearest to l? (a) g (b) -0.2 (c) -4/5 b Let f = -8 + 7.9. Let u = 406.3 - 406. Which is the closest to f? (a) u (b) 3/7 (c) -4/5 a Suppose 41*n = 31 - 72. Which is the nearest to -29/6? (a) 5 (b) n (c) -6 c Let y = 34.6 - 4.5. Let i = y - 29.1. What is the closest to i in 1/2, -0.2, -1/2? 1/2 Let m = 1 + -1. Let w be 0 + 8 + (-532)/56. Which is the nearest to -2/3? (a) m (b) w (c) -0.5 c Let g = 7035 + -7034. What is the nearest to -2/3 in -0.01, 26, g, 4/7? -0.01 Let a = 1326 + -1326. What is the closest to -0.2 in 2/9, -62, -3, a? a Let s be (-4)/2896*(-1)/((-14)/(-56)). What is the closest to 0 in s, -5, -3? s Let n = 2.6 + -0.6. Let f = -97 + 167. Let z = f + -70. Which is the closest to -0.1? (a) n (b) z (c) -3/2 b Let y = -12.9 - -12.8. Let n be 1 - (-2 + 1) - (-792)/(-440). Which is the nearest to y? (a) -39 (b) -0.3 (c) n b Let h = 56/5 - 173/15. Let n = -919.978 + 919. Let q = n + -0.022. Which is the closest to -0.1? (a) q (b) h (c) 2 b Suppose 7*o - 2 = 6*o. Let q be -1 + o/6 + (-1025)/(-4305). Let n = 23 + -22. What is the nearest to n in 15, 1, q? 1 Suppose -204*l = -65*l - 1251. Which is the nearest to 1? (a) l (b) 1 (c) -20 b Let z(r) = -2*r**3 + 65*r**2 - 99*r + 186. Let q be z(31). Let c = 84.96 + -83. Let k = c - -0.04. What is the nearest to q in k, -4, 0? 0 Let p be 36*(-1)/2*4/12. Let m = -0.1 + 4.1. What is the closest to p in 0.4, -5/2, m? -5/2 Let y = 76.5 - 76.2. What is the nearest to 0 in 7, -1, y, 11? y Let g = -1.104 + -783.896. Let b = g + 790. What is the nearest to 0 in 3, -0.4, b, -14? -0.4 Let k = -19.97 + 19.97. Let x = 5/16 + -183/688. Which is the nearest to k? (a) -4 (b) 0 (c) x b Let i = 11/7 + -34/35. What is the nearest to 0.2 in 0.1, 6.9, i? 0.1 Let d = 2.5 - 2.5. Let j = -0.222 - -0.622. Let z = -3.3 + 3. Which is the closest to d? (a) -2/13 (b) j (c) z a Let y = 14 + -13.5. Let r be (-6)/16*4/9. Let x = -958/15 + 64. What is the closest to y in r, 0.4, x? 0.4 Let r = -0.4201 + 0.3201. Which is the closest to -1? (a) -1/5 (b) 0.5 (c) -2/1215 (d) r a Let s = -0.2 - 0.5. Let d = 0.85254 + 3.14746. Which is the nearest to 0? (a) d (b) -0.3 (c) s b Let i = -45312 - -45313. Let x = 3/34 - -53/170. Which is the closest to -1/2? (a) i (b) x (c) 0.6 (d) 0 d Let d = 2858 + -2858.4. What is the nearest to -1/4 in -1, -12, d, 0? d Let z = -2138 - -2092. Which is the nearest to z? (a) -3 (b) 7 (c) -0.5 a Let y = -59.983 - 0.017. Let u = -175 - -237. Let k = y + u. What is the nearest to 0 in k, -5, -3? k Let a = -20594 + 20589. Let j = 2 + -1.8. What is the nearest to -1 in a, 4, j? j Let r(h) = 8*h**2 - 25*h + 2. Let j be r(3). Let b(k) = -k**2 + 25*k + 24. Let w be b(j). What is the closest to -3 in 14, w, -0.5? w Let j = -142.51 + 143.51. Let k = 0.2 + -0.1. Which is the closest to j? (a) 10 (b) k (c) 3/5 c Let v be (-35)/14 + 426/180. Which is the closest to 2/3? (a) 0.062 (b) 1/5 (c) v (d) 1 d Let l = 10261 - 10260.8. Which is the nearest to -1? (a) l (b) -6/13 (c) 1 (d) 0 b Let l = -4.33 - -0.03. Let d = l + 0.3. Let t = 466/1935 + -4/215. Which is the closest to 0.2? (a) d (b) t (c) 0.2 c Let i = 0.31302 - -0.08698. Let x = 10 + -15. Which is the nearest to -0.2? (a) i (b) x (c) -4 a Let k be (-49)/17 - -1 - -2. Let y be 35 + -32 + (9 - 2). Suppose 4*q - 12*p + y*p = 0, -q = 4*p - 9. Which is the closest to q? (a) -2 (b) 0.5 (c) k b Let r = 741 + -740.9. Which is the closest to -1/4? (a) -5 (b) -4 (c) -0.2 (d) r c Let q be (10/(-4))/((-2)/4). Let z = 15422/5 + -3084. What is the nearest to 0 in q, z, 8? z Suppose -123 = 18*z - 15. Let w(i) = -5*i - 26. Let f be w(z). Which is the nearest to -2? (a) 0.1 (b) 5 (c) f a Let p = -0.423 + -0.077. Let m be -5*(-105)/(4 - 7). Let h be m/(-55) + -3 + 0. What is the closest to 0.1 in 1/5, p, h? h Let g = 48.077 + -48.277. Let j = 4 - 2. Which is the closest to g? (a) -9 (b) j (c) -1 c Let t = 1.17 - -0.07. Let p = t + -2.24. Let k be (-28)/(-18) + (-4)/18. Which is the nearest to p? (a) -4/7 (b) k (c) -2 a Let h = 2.025 - 1.95. Let g = -0.175 - -0.3. Let p = g + h. Which is the closest to -1? (a) p (b) -4 (c) 0.1 c Let z = 761 + -539. Suppose -4*s - 115 = -4*h + 329, 2*s = 3*h - z. Let w be (5 - s/(-21)) + (-8)/(-21). Which is the closest to 1? (a) w (b) 2/5 (c) -0.5 b Let r be (-2)/(-3) + 2/6. Let z = 364 - 51. Let t = z - 312.7. What is the closest to r in 1, t, 5/3? 1 Let b = -1.78321 + -0.21679. Let g = -112/3 + 37. Let r = 0.26 + 0.74. What is the closest to r in b, 1, g? 1 Let q = -85234.1 + 85233.6. Let g = 2.5 - 0.5. What is the closest to g in -1/7, 0.1, q, -2? 0.1 Let i = 339.2 + -371. Let j = 34 + i. Let v be (2 + -6)/(-4)*0. Which is the closest to v? (a) 3/4 (b) j (c) 0.5 c Let r = 37 + -38. Let d(h) = h**2 + 2*h - 7. Let f be d(-3). Let p be ((-1)/(-3))/((-2)/(-6)*f). Which is the nearest to r? (a) p (b) 1/10 (c) 5 a Let v be 10/(-70)*4*-28. Which is the closest to 1? (a) v (b) -49 (c) -5/3 c Let f = 36 - 22. Let j = -14 + f. Let o be j/((8/(-3))/4*-3). Which is the nearest to 1/4? (a) -1/21 (b) -2/13 (c) o c Let r = 1242.95 + -1243. Which is the closest to 0.2? (a) -0.1 (b) -4/5 (c) r (d) 0 d Let x = -5178 - -5175. Which is the closest to x? (a) 38 (b) -5 (c) 2/9 b Let r be (-42)/(6/(-8) - 9/12). Let w be 18/r + (28/(-8))/7. Which is the closest to -2? (a) w (b) 3 (c) -0.5 c Let z = 54 + -55. Let b be 3/(-12) + (-1 - z). Let o be (1/2)/(13/39). What is the nearest to 2/5 in 1, b, o? 1 Let u = -3683 - -14735/4. Which is the nearest to 9? (a) 1 (b) 5 (c) u b Let n = -595.14 + 599.14. Let i = 1.94 - 2. Let q = 0.16 + i. What is the nearest to 2/3 in q, n, -1/9? q Let i = 0 - 0. Let w = 3497 - 3529.57. Let r = w - -32.6. Which is the closest to i? (a) r (b) 1/2 (c) -2/11 a Let o = -0.01 + 5.01. Let d be (-56)/(-175)*(-80)/64. What is the nearest to 1 in 3, d, o, 2/11? 2/11 Let f = -30 - -29. Let r be 4/(-8 + 4) + f. Let s be r/6 - (1 + -1). What is the closest to -1/5 in -2/5, s, 2/7? s Let m = 48.55 + -49. Let v = m + 0.448. Let y = -3.998 + v. What is the nearest to -0.11 in y, -5, 5? y Let w = -0.4897 - 0.0103. Let l = 13 - 7. Let x = l - 6.1. What is the closest to x in -2, -6/11, w? w Suppose t + 20 = -i - 27, 2*i = 3*t - 79. Let k = i - -45. Which is the nearest to k? (a) 9 (b) 0 (c) 4 b Let x = 29602 + -29602.89. Which is the closest to 0.3? (a) -4 (b) 0.5 (c) 5 (d) x b Suppose 0 = -8*v + 4*v. Let i = -1328 - -1332. Which is the nearest to 1? (a) v (b) i (c) -1 a Suppose u + 167 + 127 = 3*z, -2*u = 0. Let y = z - 58. What is the nearest to 1/3 in 0, -0.3, y? 0 Let z = 3.433 + 0.757. Let q = -2.81 - z. What is the nearest to q in -1, 0.2, -0.4? -1 Let n be (-2 - 10/(-4))*(-2 - -12). Suppose -n*q - 8 + 3 = 0. What is the nearest to q in 2/17, -1, 5? -1 Let p = -3688.9894 + 3687. Let r = 0.0106 - p. Which is the closest to -1? (a) -1 (b) r (c) -4.9 (d) 4 a Let z = 0.2 - 4.2. Suppose -3*g = -320*f + 316*f + 12, 5*f - g = -7. What is the nearest to 3 in 1/7, z, f? 1/7 Let v = -42/107 - 795/428. Which is the closest to v? (a) -0.3 (b) 1/2 (c) -3 (d) -23 c Let h = -0.2 - -0.21. Let k = 17.683 + -18.083. Which is the closest to -2/5? (a) h (b) k (c) 0.5 b Let m = 5.07 + -0.07. Let c = 1003 - 1108. Let g be 9 - (-952)/c - 4/(-10). What is the closest to -0.3 in -0.6, m, g? -0.6 Let x be (-7)/14*(-2)/(-3). Let h = -25978 + 25999. What is the nearest to h in 0.2, 2, x? 2 Let i = 55 + -56.1. Let k = i - -39.1. Let q = -41 + k. Which is the closest to 0.1? (a) q (b) -5 (c) -2 c Let y = 22.003 - 0.003. Let t = y + -24. Suppose -m = 2*m - 3. Which is the closest to 0.2? (a) t (b) m (c) 1/12 c Let h = -580819 + 580819.3. Let q(t) = t**3 - 2*t**2 - 2. Let y be q(3). Let z be (y - 1)*6/(-4). Which is the nearest to z? (a) h (b) -5 (c) -2/9 b Let p = -523/27 - -5807/297. Let d = -0.05 + -0.05. L
{ "pile_set_name": "DM Mathematics" }
= -5*i + n, 2*f + 4*i = 8 for f. -2 Let n(j) = -j**2 + 16*j - 24. Let k be n(2). Suppose -5*o = 5*p, k*o = 7*o + 4*p + 2. Solve -i + 3 = 0, o*a - 2*i = -4*i + 12 for a. 3 Let s = -231 - -237. Suppose 2*x + 11 = 3*z, 2*z + 0*z = 5*x. Solve 5*l = -z*c + 15, s = l + 2*c - 1 for l. -1 Suppose m - 24 = -9. Suppose n - 6*n = 60. Let u = m + n. Solve 4*y = -5*c + y - 5, 2*c - u*y = 19 for c. 2 Suppose 4*x = -12*l + 9*l, 2*x + 3*l = -6. Let a = -36 - -44. Suppose -p = p - a. Solve 2*m = -1 - 1, 4*m + p = x*o for o. 0 Let s be ((-45)/30)/((-12)/32). Solve 0 = 3*x + 4*h + 10, -2*x + s*h + 12 = -6*x for x. -2 Let m = -10 - -14. Suppose 5*n + 4 = 3*l + n, -m*n = 2*l + 4. Let v = 748 - 746. Solve v*c + 3*u - 7 = l, -3*c - 4*u + 10 = u for c. 5 Let o(v) = v**2 + 6*v + 13. Suppose 3*p - 1 = 4*s - 6*s, 2*p + 1 = -s. Let i be o(p). Solve -i*d + 4*k - 1 = 19, k = 0 for d. -5 Let g be 32 - (-216)/(18/(-1)). Solve -3*h - 4*k - 2 = -g, 0 = h + 4*k - 14 for h. 2 Let u = 3275 - 3273. Solve 3*p = -5*g + 8, 16*g - 17*g - u*p = -3 for g. 1 Suppose -43*t = -2*t - 13336 + 380. Solve 0 = -4*f - 2*i - 10, -5*f + 2*i - t = -299 for f. -3 Let b be (((-105)/42)/((-30)/(-24)))/((-4)/22). Solve 7*o = 5*m + b*o, 16 = -m - 4*o for m. 4 Let v(i) be the first derivative of -i**4/4 - 29*i**3/3 - 13*i**2 + 59*i - 150. Let j be v(-28). Solve q - 5*s - 7 = -j*q, 0 = -5*q + s - 7 for q. -2 Suppose 0 = 5*k - 44 - 36. Let p(c) = -70 + 4*c + 71 - 15 - 17. Let q be p(k). Solve 0 = -5*b + 15, -4*j + b - q = -10 for j. -5 Suppose -13 = -c + 2*h, -75*h - 19 = -c - 72*h. Solve -3*v - 4*x = -0*v - 19, -c = -x for v. 5 Let i(n) = 610 + 8*n**2 + 2*n - 2*n**2 - 611. Let c be i(1). Let w be (8/(-14))/((-2)/c). Solve 0 = -3*q - 2*u + 12, -2*q - u + w*u + 8 = 0 for q. 4 Let k = 47 + -47. Let p(c) = -c + k*c + 14 - 26. Let g be p(-17). Solve -7*s = -2*s - 5, g = a + 2*s for a. 3 Suppose 4*r - 34 = 50. Let x(n) = n**3 - 21*n**2 - 23*n + 25. Let i be x(22). Solve -18 = 2*u + 4*c, -5*u + c - r = i*c for u. -3 Let r be (1*21)/(22 - 19). Let p be (14/6 - 1)/(r/21). Solve -w - 5*b = 0, p*w = 6*w + 5*b for w. 0 Let u(y) = -y**2 + y + 9. Let p be u(4). Let c = 7 + p. Suppose 7*a - 2*a - 3*w = -c, 3*w - 10 = -a. Solve t - 3 = -2*v - 1, 5*v + 4*t + a = 0 for v. 3 Let q = 17 + -12. Let r = q + 3. Let o be (154/(-770))/(1/(-5)). Solve -r = -3*w + 5*l, 2*w + 1 = -4*l - o for w. 1 Suppose 2*t = 3*q + 16, -144 = 4*t + 5*q - 154. Solve 3*p = 5*k - 2*k - 15, -t*k - p + 7 = 0 for k. 2 Suppose -1048*b = -1058*b + 60. Solve -4*g - 6 = -2*y, g - b = y - 7 for g. -2 Let x = -3 + 1. Let k = -403 + 261. Let h be -3 - k/8 - x/8. Solve -h = 5*w, 5*s + 3*w - 16 = -0*s for s. 5 Let n be (8/(-7))/(4*(-16)/112). Solve 0 = 6*a - 2*a + 5*r - 3, 15 = -3*a + n*r for a. -3 Let h(a) = 266*a + 4866. Let i be h(-18). Solve 79*y - 20 = -4*p + i*y, 5*p - 3*y = 25 for p. 5 Let q(w) = -w**2 - 18*w + 16. Let h be q(7). Let u = 161 + h. Solve -2*o = m - 10, 2*m - u*o - 3 = -13 for m. 0 Suppose -3*r = -353 - 559. Let i = -279 + r. Solve 0 = 5*s - 2*c - i, -s = -0*s - 5*c - 28 for s. 3 Suppose 42 = -6*i - 1104. Let s = 136 + i. Let t = s - -59. Solve 2*j = 5*q - 14, -t*q + q + 18 = 2*j for q. 4 Suppose a - 5*b - 8 + 23 = 0, -4*b + 12 = -5*a. Suppose -3*j + 0 = 2*x - 9, -5*x - 4*j + 40 = a. Solve 6 = r - 4*o, -3*o + o = -5*r + x for r. 2 Suppose -x = 5*f - 591 + 554, 0 = -2*x + f - 3. Solve 4*s = j - 15, -31*s + 26*s - 18 = -x*j for s. -4 Let c = -176 - -176. Solve c = -3*i - 2*y + 19, 13*i - 2*y + 1 = 10*i for i. 3 Let z(q) = -q**2 - 13*q + 2. Let b = 38 - 32. Let g be (29/3 + -1)*(-9)/b. Let u be z(g). Solve 16 = -4*w + h - 5*h, -u*w = -3*h - 2 for w. -2 Let h be (-12 - (-64)/8) + 7. Suppose h*b = s + 12, -4*b + s + 0*s + 15 = 0. Solve 0 = -2*a - b*x - 18, x = -a - 0*x - 7 for a. -3 Let j = 168 - 122. Suppose 0 = 4*n - 4*d - 68, 2*n + d + d - j = 0. Solve 0 = 4*w - 6*b + b + n, -3*w + 4*b = 15 for w. -5 Let h be ((-33)/9 - -1)*(-36)/(5 + 7). Solve i = -h*u + 6*u - 2, -u = -3*i - 6 for i. -2 Suppose 3*o - 100 - 145 = -4*o. Solve 5*a = 4*m - 41, 10*m - 5*m - o = 3*a for m. 4 Let r(o) = 24*o**2 - 1. Let t be r(2). Let b = 96 - t. Solve 5*v + 20 = -5*u, b = 3*v - 4*u - 8 for v. -1 Let d = 111 - 107. Let p = d - -12. Solve -5*o = 4*m + p, -4*o - 6 = -5*m + 15 for o. -4 Suppose 11*s - 362 = -340. Suppose -a - a = -6. Suppose s*g + a = 3*g. Solve -2*h + 4*h + 2*m = 8, g*m = -5*h + 12 for h. 0 Let y be 5 - (-184)/8*1 - 4. Let x be (4/3)/((-3)/(-9)). Solve -u = 3*u + j + 18, x*u - 2*j = -y for u. -5 Let s be 1 + (2 - 13 - -5). Let c be (s*4/(-20))/(2/40). Suppose -32 = -4*t - 12, -t + c = 5*m. Solve m*n = 2*j + 13, 4*j + 14 = 5*n - 11 for n. 1 Suppose 31 = -24*t - 17. Let p be (t + -39)*(-8 + 7). Solve 4*d + p = -5*j, 3*d - 8 = 5*j + 5 for d. -4 Let o be 847/165 - 2/15. Suppose -w + 5 = -2*j + 2*w, -25 = 5*j + 5*w. Let g be (-7 + j + 1)/(-2). Solve c - o = 2*h, 2*h - 10 = g*h + c for h. -3 Let g = 0 + 0. Let h = 3735 - 3713. Suppose 36 = 5*d - 2*d - 5*k, 2*d - 29 = 5*k. Solve -7 = c + 3*q, g = 5*q - d + h for c. 2 Let d = -41374 - -41385. Solve 5*t - d = -y + 17, y - 8 = -t for t. 5 Let j = -2 + 4. Suppose 36*k - 163*k + 245 = -9. Solve -3*p - k*o = 2, -j = p + 4*p + 3*o for p. 2 Suppose -45 = -14*z - 3. Suppose q + 6 = 3*n, n = -n - z*q + 15. Solve 0 = 2*t - r - 4, -n*t - 3*r - 2 = 10 for t. 0 Let w be (15/(135/(-6)))/(1/(-747)). Let u = w - 489. Suppose -4*c + 2*k + 10 = 0, 4*c + 5*k - 3*k - 14 = 0. Solve -3*l + 4*h = 15, c*l + 24 - u = -h for l. -5 Let q = -4148 - -4162. Solve 10*d - 13*d - b = -q, 3*d + 3*b - 24 = 0 for d. 3 Suppose v + 28 = 5*v. Let m = 62 + -54. Suppose m*b = v*b. Solve b = 4*i + 3*s + 2*s - 32, 2*i + 2 = 2*s for i. 3 Suppose 2*r + 20 = -2*r. Let m = r - -7. Suppose 0 = 4309*y - 1013*y - 13184. Solve 2 = -3*v + y*l + 3, m*v + 4 = 5*l for v. 3 Let d be (-4 - -15) + -1 - (-4 - 0). Suppose 0 = -d*k - 5 + 47. Solve -2*f = k*x - 2*x + 4, 20 = -5*x - 5*f for x. -4 Let g be 1*-7*((-168)/49)/4. Solve 3*f = -21*r + 23*r - 7, 3*r - g = 3*f for r. -1 Let r be ((0 - 7) + 8)/(2/16). Suppose 20 - r = 4*d. Suppose -22 = -d*i - 13. Solve i*q + 5*h - 6 = -0*q, 4*q + 3 = -3*h for q. -3 Suppose -16*y = -13*y + 2*t - 34, 4*t - 56 = -4*y. Solve 3*w + y = -a, -5*a + 286*w = 282*w + 30 for a. -6 Let p = -1003 - -828. Let f = p + 180. Solve 3 = -o - k, -f*k = -2 + 27 for o. 2 Let t = 42 - 46. Let z(q) = 24*q + 98. Let f be z(t). Solve -4*r + 4*l = 0, f*l - 8 = 4*l for r. -4 Let g(l) = l**3 + 47*l**2 - 105*l - 341. Let k be g(-49). Solve -9*c + 13*c - 16 = -k*w, 6 = 5*c - w for c. 2 Let y be (-42)/27 + 2 + (-132)/54. Let t be y/3 - (-12 - 247/(-39)). Solve 17 = -k + 3*p, 3*p + 2*p = -t*k + 15 for k. -2 Let x = 2395 - 2379. Solve -3*u = 5*o, 92*o - 5*u = 95*o + x for o. 3 Suppose 4*h + 13*h + 17 = 0. Let k be 4/56*7*(1 + h). Solve -2*n = 5*p - k*n, 0 = 3*p - 3*n for p. 0 Let y(u) = -u**3 - 5*u**2 + 14*u - 77. Let q be y(-8). Solve 0 = 2*b - q*d - 21, -b + 2*d + 221 = 209 for b. 6 Let l(f) = 2*f**3 + 28*f**2 + 79*f - 5. Let m be l(-10). Solve m = 2*r - 3*j, -6*r - 40 = -5*r + 7*j for r. -5 Suppose 3*t - 20 = -2*t. Suppose -7*q = 55 + 183. Let u = q + 38. Solve -t*a - 3*r = a - 11, u*r - 13 = -5*a for a. 1 Let i = 4891 - 4888. Solve 2*s + 12 = 0, -4*s - 13 = i*f - 1 for f. 4 Suppose -4*x - 14 = -2*q, x - 3*q + 0*q - 9 = 0. Let d be ((-3)/(-3))/(x/(-12)). Solve d = z - 4*j - 0, -3 = 2*z - j for z. -2 Suppose 5 = 5*f + 10, -a = -f - 19. Let v(k) = 3*k + a - 4*k + 11. Let m be v(24). Solve m*n + 3*w + 22 = 3*n, -12 = 3*w for n. -5 Let o = -227 + 225. Let r be 8*(o - -4) - 3. Solve 0 = 3*x - 5*x + u - 5, 0 = 5*x - 3*u + r for x. -2 Suppose -3*k + 4*z + 12 = 0, 0 = -k + 5*z + 7 - 3. Let u(r) = r**2 + 4*r + 9. Let b be u(-2). Solve -b*p + k*v = 3*v, 0 = 4*p + 2*v for p. 0 Suppose 0 = 2*a + 54 + 22. Let p = a + 38. Suppose p = 3*o + 6 - 6. Solve -3*t - 17 = h + 3, o = -4*h - 2*t - 30 for h. -5 Suppose -482 = 49*i + 302. Let b be i/(-6)*273/52 + -6. Let l = -4 - -6. Solve l*h = -d - 5, -3*d = -2*h - d - b for h. -3 Suppose 0 = -4*n + 5*f + 1968, 27*f - 24*f = 5*n - 2473. Suppose -122 = 15*u - n. Solve 2*z - 18 = 4*q + 4*z, 0 = -5*z - u for q. -2 Suppose 438*j - 92*j = 171270. Solve 4*s + 40 = -5*k, j*k - s - 13 = 497*k for k. -4 Suppose 84*c - 42*c - 18*c = 120.
{ "pile_set_name": "DM Mathematics" }
be (3/(-5))/((-16)/20)*-4. Let s(p) = 56*p**2 + 6*p - 2. Let t be s(x). What is the highest common factor of t and 44? 44 Let u be 1 + (39/3 - -2). Let o be (2 + -194)*(5 - -8)/(-39). Calculate the greatest common factor of u and o. 16 Let d(m) = -m**2 + 4*m + 30. Let o be d(6). Let c = -4 - -6. Suppose f - 5*k + 13 = -0*k, 2 = f - c*k. What is the highest common divisor of f and o? 6 Let d be (-3 + 24/9)/((-1)/459). Suppose -17 = 3*n - 5*s, -3*n = 5*s - 2 - 21. Let f be -2 + n - (-2 + -16). Calculate the greatest common divisor of d and f. 17 Let f(z) = z**2 - 39*z + 274. Let r be f(30). Calculate the greatest common factor of 124 and r. 4 Let l = 19 + -52. Let w = l + 46. Let u = w + 2. What is the highest common divisor of u and 6? 3 Let f = 234 - -288. Suppose 0 = -2*d - 4*c + 344, f = -2*d + 5*d + 3*c. Let w be 20 + (28/77 - (-54)/33). Calculate the greatest common divisor of d and w. 22 Let z(m) = 11*m**2 + 17*m - 2. Let k(j) = 5*j**2 + 8*j - 1. Let s(c) = 9*k(c) - 4*z(c). Let u be s(-5). What is the greatest common factor of 2 and u? 2 Let t(n) = 16*n**2 - 20*n + 52. Let s be t(3). What is the greatest common divisor of 17 and s? 17 Suppose 3151 + 3581 = 17*k. Calculate the greatest common divisor of 352 and k. 44 Suppose 0 = n + 3*n - 528. Let j(q) = q - 2. Let l be j(5). Suppose -v + l*b = -21, -6 = -v - b - b. What is the highest common divisor of v and n? 12 Suppose -7770 = -5*a + 5*j, 0 = 8*a - 3*a - j - 7754. Suppose 0 = -13*u + 8*u + a. What is the greatest common divisor of u and 124? 62 Let u be 14 - 10 - -3*7. Calculate the highest common divisor of 225 and u. 25 Let r be 42 + -41 + (14 - (-1)/(-1)). Suppose 16 + r = 6*a. What is the highest common factor of a and 5? 5 Let u(p) = -13*p**3 + 5*p**2 + 5*p - 2. Let b be u(-2). Calculate the highest common factor of 80 and b. 16 Let p(k) be the second derivative of -k**4/6 + 25*k**3/6 - k**2/2 - 23*k. Let v be p(11). Calculate the highest common factor of 24 and v. 8 Let j = 40 + -45. Let r be (2/((-2)/1))/(j/140). Let f = 75 + -5. What is the highest common factor of r and f? 14 Let b(y) = -37*y**3 + 38*y**3 + 3*y**2 + 10*y + 23 + 5*y**2. Let x be b(-7). What is the highest common divisor of x and 16? 2 Let s be ((-405)/54)/(6/(-80)). Calculate the greatest common divisor of 140 and s. 20 Suppose 5*q = -10*q + 765. Suppose -q = -4*o + 21. Let b(y) = 5*y + 3. Let c be b(3). Calculate the highest common divisor of o and c. 18 Let h be 9/18*2 - (-43 - -1). Calculate the greatest common divisor of 2107 and h. 43 Let j(i) = -5*i - 68. Let c(a) = -a - 17. Let v(z) = -9*c(z) + 2*j(z). Let t be v(0). What is the greatest common factor of t and 187? 17 Suppose -22*s + 288 = -18*s. Suppose 0*b - 2*t = -b + 17, -5*b = 3*t - s. Calculate the greatest common divisor of 195 and b. 15 Suppose r = -5*r + 186. Let f = r + -13. Calculate the highest common divisor of 54 and f. 18 Let q(g) = -g**2 + 19*g - 22. Let y(f) = -f**3 - f**2 + 15. Let v be y(0). Let z be q(v). What is the greatest common divisor of 38 and z? 38 Let w(p) = -p**3 + 9*p**2 + 19*p - 14. Let f be w(11). Let j = f + 53. What is the greatest common factor of j and 42? 6 Let k = 21 + -26. Let a = k - -37. What is the highest common factor of a and 160? 32 Let r = -61 + 96. What is the greatest common factor of 14 and r? 7 Let r = -75 + 84. Suppose -r = -0*p - p. Let x be (6/(-2))/((-1)/3). Calculate the highest common divisor of p and x. 9 Let h be (0 + 1)/(9/63). Suppose -b = 3*f + 4*b, 4*b = f. Suppose -4*c = -5*g - h, f*c + 3*c - 5*g - 4 = 0. What is the highest common divisor of 6 and c? 3 Let v be (1 - -149)*24/20. What is the highest common divisor of 20 and v? 20 Let y be 8/20 + (-2)/5. Let v be -4 + 5 - (y - 1). Let i = v + 0. Calculate the greatest common factor of i and 1. 1 Suppose 0 = 5*y - 0*y + 3*d - 1976, 0 = 5*d + 15. Let c = -262 + y. What is the greatest common factor of c and 54? 27 Let n(m) = -4*m + 82. Let s be n(7). What is the greatest common divisor of s and 12? 6 Let k be (-1 + -1)/(3 - 5). Let g be (-4 + -143)/(k + -2). Suppose -5*p = -4*w - g, 5*p - 3*w = -2*w + 138. Calculate the highest common divisor of p and 297. 27 Let b = 76 + -78. Let z be (15 + -4)/(b/(-54)). Calculate the highest common divisor of 27 and z. 27 Suppose 0 = -3*q + l + 100, -4*l + 20 - 4 = q. Let o = -17 + q. What is the highest common factor of o and 15? 15 Suppose 5*p = 33 - 123. Let l be p/(-36)*(-2)/(-1). Calculate the highest common divisor of l and 5. 1 Let f(m) = -19*m + 528. Let p be f(23). What is the greatest common divisor of p and 63? 7 Let c be (-124684)/(-4599) - 2/36*2. Calculate the highest common divisor of 279 and c. 9 Let a(h) = -22*h - 123. Let k be a(-6). Let s(q) = -q**3 - 3*q**2 + 4*q - 3. Let d be s(-6). Calculate the greatest common factor of d and k. 9 Suppose 3*i + 0 - 15 = -3*j, 3*i - 18 = -4*j. What is the highest common factor of 3 and j? 3 Suppose -2*f = 2*i - 46, 5*f + 83 = 7*i - 3*i. Calculate the highest common factor of 682 and i. 22 Let y = 2895 + -2642. Calculate the highest common factor of 99 and y. 11 Let f(u) = -12*u**2 - 6*u + 2. Let y be f(6). Let a = y + 653. Calculate the greatest common factor of 17 and a. 17 Let d(q) = q + 13. Suppose 3*g = 5*x + 34, -2*g - 4 = 2*x + 16. Let w be d(x). Calculate the highest common factor of w and 15. 5 Let g = 3 + 4. Suppose 5*o = -2*a + g*a + 175, -a - 137 = -4*o. Let w be 140/o - 6/51. Calculate the highest common factor of w and 28. 4 Suppose 2*k = -w - 2*k + 3, 90 = 5*w - 5*k. Let x(o) = o + 6. Let r be x(-6). Suppose r = s - 4*s + 90. Calculate the highest common factor of s and w. 15 Let b(n) = -n**2 + 2*n + 3. Let t be b(3). Let d = -145 + 313. Suppose t = -2*m - 2*m + d. What is the highest common divisor of 63 and m? 21 Suppose -3*l = 36*s - 34*s - 8, 3*s - 7 = -2*l. Calculate the greatest common divisor of l and 8. 2 Suppose -3*p + 0*n = -n - 52, p - 8 = 5*n. What is the highest common factor of 117 and p? 9 Suppose 0 = -5*i + 5*a + 125, a + 36 = 2*i - 15. Let t = 35 - 22. Calculate the highest common divisor of t and i. 13 Let d = 13 - 13. Suppose -3*c - 3*i = d, 3*c - 2*c = -2*i - 4. Suppose c*j - 10 = 46. What is the highest common factor of j and 98? 14 Let u = 68 + 20. Suppose 30*r = 26*r + u. Calculate the greatest common divisor of 176 and r. 22 Let q be -2 - (1 + -1) - -218. Calculate the highest common divisor of 27 and q. 27 Let n = 326 - 315. What is the greatest common divisor of 253 and n? 11 Let s(u) = -u**3 + 2*u**2 - u + 17. Let v be s(-4). What is the greatest common divisor of 18 and v? 9 Let m = 10 + 138. Calculate the greatest common factor of 4 and m. 4 Suppose -i - 5*y = 352, -6*y = -2*i - y - 629. Let r = 597 + i. Suppose -v = -4*v + r. Calculate the greatest common factor of 30 and v. 30 Let g be ((0 - 1677)/(-3))/(-6 + 7). What is the highest common divisor of 65 and g? 13 Suppose -40*u + 35*u = -270. Calculate the highest common divisor of 459 and u. 27 Let x = 1921 - 1909. Calculate the highest common factor of 4404 and x. 12 Let s be (-10)/(-14) - 12/(-42). Let p(f) = 2*f**2 - 6*f - 4. Let l be p(3). Let n be 72 + s + (l - -8). What is the greatest common divisor of n and 11? 11 Let d = -715 - -727. Calculate the highest common divisor of 156 and d. 12 Let u(r) = r + 4. Let p be u(0). Suppose 0 = 2*j + 3*z - 21, -p*j + 19 + 68 = -3*z. Let n = 22 + j. Calculate the greatest common divisor of 10 and n. 10 Suppose -v + 3*v = 0, -2*k = v - 8. Suppose -a = -3*a + k. What is the greatest common divisor of a and 3? 1 Suppose 0 = -s + 81 + 127. Calculate the greatest common factor of s and 16. 16 Suppose -r = 3*k - 279, 2*r - 3*r = k - 269. What is the highest common divisor of 33 and r? 33 Suppose -1031*x + 630 = -1016*x. Calculate the greatest common factor of x and 357. 21 Suppose -2*f = -7*f - 5*b + 75, 2*b = 4*f - 90. Suppose 2*t - f = 4*k, 3*t - k - 4*k = 35. What is the greatest common factor of 10 and t? 10 Let p = 1551 + -916. Calculate the highest common factor of p and 127. 127 Let y(c) = 4*c - 1. Let h be y(1). Let d = 48 - h. What is the highest common factor of d and 180? 45 Let s = -26 + 28. Suppose 6*n = s*n + 40. Calculate the greatest common divisor of n and 10. 10 Let s(u) = -u**3 + 7*u**2 + 22*u +
{ "pile_set_name": "DM Mathematics" }
2? 4 What is the third biggest value in 1000, 0.12, -25/3? -25/3 What is the fourth biggest value in 2, 5, -0.5, -1, 1, -21469? -0.5 Which is the smallest value? (a) 7 (b) 138.5 (c) 0.3 c What is the fourth smallest value in 6, 0.5, 1903, -5? 1903 Which is the fourth biggest value? (a) -0.4 (b) 5 (c) 1.71 (d) -38.5 (e) -2/19 a What is the fourth biggest value in -5, -9/2, 682, -1/2, 4? -9/2 Which is the smallest value? (a) -5 (b) 27798/5 (c) 10 a Which is the sixth biggest value? (a) -179/3 (b) 5 (c) -16 (d) 17/4 (e) -1 (f) 0 a What is the second biggest value in -104/7, -815, -4? -104/7 Which is the third biggest value? (a) -6 (b) 1/127 (c) 41.6 a What is the fourth biggest value in -5, 5/6, 1, 0.3, 2? 0.3 Which is the second smallest value? (a) -0.8 (b) -0.2 (c) -2 (d) 575 a Which is the third smallest value? (a) -0.14 (b) -1/2 (c) -143/5 a Which is the third biggest value? (a) 2715427 (b) -1 (c) 3 b Which is the second smallest value? (a) -3/5 (b) -8 (c) -0.1 (d) -29 (e) -493 (f) -2 d What is the third smallest value in -1/4, 16826, -1.7? 16826 What is the second biggest value in 0.4, -2, -29/3, -0.7, 4/23? 4/23 Which is the second smallest value? (a) -2/547 (b) 0.2 (c) -4/33 (d) 1 (e) 0 a Which is the sixth smallest value? (a) 0.02 (b) -2 (c) -1/7 (d) -0.2 (e) 0.5 (f) 31 f Which is the biggest value? (a) -158 (b) 2/201 (c) 7 c What is the fifth biggest value in -5, 5, -7.4, -0.3, -0.1, -0.054? -5 What is the second smallest value in 68.42, -1/6, -5? -1/6 What is the second smallest value in -33, -4, -0.3, -0.2, 14/5? -4 Which is the fifth smallest value? (a) 0.4 (b) -5 (c) 13.8 (d) 0.2 (e) -1 c Which is the second biggest value? (a) 83235 (b) 1/3 (c) 0.5 c What is the biggest value in 0.29, -29, 9/5, 0.1? 9/5 What is the smallest value in -634, 2, 1.3? -634 Which is the third smallest value? (a) -1 (b) 21587 (c) 0 b Which is the second biggest value? (a) -210 (b) 0.2 (c) 67 (d) 0.1 (e) -1/7 b Which is the smallest value? (a) 13 (b) -0.2 (c) 10 (d) -7/27 d Which is the sixth biggest value? (a) 0.2 (b) 4 (c) 13 (d) 92 (e) -1 (f) -1/3 e Which is the fourth biggest value? (a) -0.638 (b) -2.4 (c) -0.4 (d) 3 b What is the fifth biggest value in 2, 1/5, 2/13, -0.1, -203, -2/7? -2/7 What is the smallest value in -0.22, -0.051, -979? -979 What is the smallest value in -18, -4, -0.064, 1/5, -0.2? -18 Which is the third smallest value? (a) -2 (b) -31.12 (c) -1/3 (d) -1.9 d What is the fourth biggest value in 11/2, -1, 1, 16? -1 What is the second biggest value in -2, -876, -1, -2/165? -1 What is the third biggest value in 19, 6.7642, -2, -0.5? -0.5 Which is the fifth biggest value? (a) -21 (b) 0.2 (c) -383 (d) 0.07 (e) -2/15 c Which is the second biggest value? (a) 0.2 (b) -11 (c) 1 (d) -1222 (e) -1/5 a Which is the third smallest value? (a) -5 (b) 23.82 (c) -2 (d) -4 (e) 1/6 (f) 4 c What is the fifth smallest value in 20, -2/7, -2, -3/23, -10? 20 Which is the third biggest value? (a) -2/5 (b) -8/5 (c) 2/3 (d) -0.2 a What is the biggest value in -5, 2.3, 1, 3? 3 Which is the smallest value? (a) 0.14 (b) 5 (c) 49/15 a Which is the third smallest value? (a) -0.3 (b) -19/2 (c) 103 c What is the fourth smallest value in 3/2, 2, -0.5, -4, 1, -0.8? 1 Which is the second smallest value? (a) 3218 (b) 0.1 (c) -2/21 b What is the fifth smallest value in 1/2, -0.4, -2, 4, 895, -3/7? 4 What is the second biggest value in 839, 2/13, 1/6, 0.3, 2/5, 4? 4 Which is the third smallest value? (a) -2/9 (b) 128 (c) -0.5 (d) 0.21 (e) 0 e What is the fourth smallest value in -5, 1, 5, 1/269, 0.3? 1 What is the biggest value in 2, 9, 6, 4, -29? 9 Which is the fourth smallest value? (a) -0.02 (b) -5 (c) 2/7 (d) -6.2 (e) -3/2 (f) 3 a What is the fourth smallest value in 0, -2, -1, 6, 2, -116? 0 Which is the smallest value? (a) -734/7 (b) -3 (c) -2 (d) 5 a Which is the smallest value? (a) -4 (b) -1/31 (c) 10/119 (d) 0 a What is the third smallest value in -36, -0.5, -0.374, -0.4? -0.4 Which is the third biggest value? (a) -10 (b) 3 (c) 0 (d) 155 c Which is the fourth smallest value? (a) 3 (b) 25 (c) -0.3 (d) -12 (e) -5 a What is the biggest value in 5, -4/7, -4, -0.1, 2, -1/5? 5 Which is the smallest value? (a) 3 (b) 2/305 (c) -1/2 (d) -0.2 (e) 0 (f) -8/15 f Which is the third smallest value? (a) 16 (b) 5.2 (c) -13 a What is the third biggest value in -2, 325, 2/73? -2 What is the third biggest value in -6/5, -1407, 30? -1407 Which is the fifth biggest value? (a) -1.36 (b) 6/7 (c) -0.07 (d) 0 (e) -6 e What is the second smallest value in 0.05, -14/39, 3/7, 3/2, -0.1? -0.1 Which is the fifth biggest value? (a) 17/20 (b) -1 (c) -134 (d) 0 (e) -4 c Which is the third smallest value? (a) 0.4 (b) 0.079 (c) -1 a Which is the second biggest value? (a) -2/11 (b) -1/3 (c) -8/35 (d) 42 a What is the third biggest value in -3/5, -0.4, 0.3, -1, -6/25? -0.4 Which is the second biggest value? (a) -4 (b) -3895 (c) 11 a Which is the second smallest value? (a) 3 (b) 903 (c) 11/5 a Which is the second biggest value? (a) 19 (b) -49 (c) 1/3 (d) -4 (e) -0.5 c What is the third smallest value in 8, 5, -1/2, 5/27? 5 Which is the third smallest value? (a) -8 (b) -2/5 (c) 5 (d) 1/4 (e) -2/9 (f) -1/155 e Which is the second biggest value? (a) -2/3 (b) -0.4 (c) -0.08 (d) -25/9 b Which is the biggest value? (a) -35 (b) -2 (c) 10 (d) 3/11 (e) 2/3 (f) -4/3 c What is the second biggest value in 0.01, 0.29, 0.3, 0, 0.06? 0.29 Which is the second biggest value? (a) -2.161 (b) -17 (c) 6 a What is the biggest value in -2/7, -0.09, 17, 36.6? 36.6 Which is the second smallest value? (a) -10 (b) -2/5 (c) -0.41 (d) -3/4 d What is the fifth smallest value in -0.3, 4, 0.2, -16, -14/27? 4 What is the second biggest value in -251/2, 108, 4? 4 What is the third biggest value in 137/17, 0.2, -2/3? -2/3 What is the sixth biggest value in 1/4, 2/21, 2/11, 23, -1/2, -1/15? -1/2 What is the second smallest value in 7, -2/203, -5, 1/3, 0.4, 3/7? -2/203 Which is the smallest value? (a) 1 (b) 5 (c) -1/68 (d) -2 (e) 0.175 d Which is the fifth biggest value? (a) 0.2 (b) 0.5 (c) 3 (d) -437 (e) -1 (f) -0.2 e Which is the third biggest value? (a) 4 (b) 20 (c) -69 (d) -5 (e) 0 e Which is the third biggest value? (a) -3/2 (b) 1 (c) 3 (d) 10 b What is the third biggest value in -2/5, 0.212, 1/2? -2/5 What is the third biggest value in -17, -1, -0.513, 11, -0.2? -0.513 What is the second smallest value in -0.005, 0.1, 1261, -1? -0.005 What is the fourth smallest value in -5, 0.3, -9/5, 2/13, 3, -62? 2/13 What is the second biggest value in 6, -2/19, -2.9, 2/25, 4? 4 What is the biggest value in -4, 16426, -0.4? 16426 What is the biggest value in -2/7, 5/4, 3/7, 0.0893? 5/4 What is the fifth biggest value in -3, 0, -2856, -2/7, 4? -2856 What is the second biggest value in 12, 210682, 2? 12 Which is the third smallest value? (a) 5 (b) 29 (c) 3 (d) -19 (e) 1/13 c Which is the third biggest value? (a) 24/11 (b) 7/3 (c) -12 c Which is the fourth biggest value? (a) 12.2 (b) 0.3 (c) 9 (d) 4/5 (e) -1 b What is the fifth biggest value in -1/3, -37, -1, 2/3, -0.76, -2? -2 What is the smallest value in 0, -5, -45, -1.4, 0.1, -3.4? -45 What is the third smallest value in -4/7, 182, -1/3, 0.06? 0.06 Which is the second smallest value? (a) -0.64 (b) 181 (c) 1 c Which is the second biggest value? (a) 0.2 (b) 45 (c) -58/117 a What is the smallest value in -1/4, 0.03, 0.095, 0, 0.08? -1/4 What is the third biggest value in 1/4, 6912, 5? 1/4 Which is the fifth biggest value? (a) -15 (b) 2/5 (c) -1.4 (d) -0.4 (e) -0.3 a What is the biggest value in -0.1, -1.2, 0.0056? 0.0056 What is the biggest value in 0, -3, 0.2, -2/5, -5/3, 2/83? 0.2 Which is the third smallest value? (a) 3 (b) 1 (c) -0.3 (d) -113 (e) -24 (f) -1/3 f Which is the fourth smallest value? (a) -0.5 (b) 2 (c) 2/13 (d) -3 (e) 1 (f) 1/16 c What is the smallest value in -5, -1, 4, -2/5, -9.898? -9.898 What is the fourth smallest value in -0.2, -2, 3, 2, -5? 2 What is the second biggest value in 0.5, 4, 307/363? 307/363 What is the fourth
{ "pile_set_name": "DM Mathematics" }
lculate prob of picking 1 j and 1 q when two letters picked without replacement from {l: 2, q: 2, j: 3, w: 2}. 1/6 Two letters picked without replacement from {f: 1, e: 5, p: 1, n: 1, x: 3}. What is prob of picking 1 n and 1 e? 1/11 What is prob of picking 1 o and 2 h when three letters picked without replacement from oohhhhoohooooo? 45/182 Four letters picked without replacement from ehejehhjheeh. Give prob of picking 3 e and 1 j. 4/99 Two letters picked without replacement from wbbcuuubwwbzbwbbb. What is prob of picking 2 b? 7/34 Two letters picked without replacement from nvvnnnnvnnvv. What is prob of picking 2 v? 5/33 What is prob of picking 1 u, 1 w, and 1 z when three letters picked without replacement from {w: 9, u: 1, z: 6, l: 1}? 27/340 Four letters picked without replacement from wwwwwsssswwwwswwwww. Give prob of picking 1 w and 3 s. 35/969 Three letters picked without replacement from {x: 5, n: 8, u: 7}. What is prob of picking 2 u and 1 n? 14/95 What is prob of picking 1 x and 1 h when two letters picked without replacement from oxoohooooooooooxx? 3/136 What is prob of picking 1 c and 1 y when two letters picked without replacement from yccyffoycmyyff? 15/91 Four letters picked without replacement from {f: 2, z: 1, o: 2, l: 2, q: 1}. What is prob of picking 1 o, 2 l, and 1 q? 1/35 What is prob of picking 2 m, 1 f, and 1 j when four letters picked without replacement from mmljmlfm? 3/35 Three letters picked without replacement from euruenreezneeureuuu. Give prob of picking 1 n and 2 e. 14/323 What is prob of picking 1 m and 3 i when four letters picked without replacement from {m: 3, i: 7}? 1/2 Two letters picked without replacement from mddxdaalasasmmm. What is prob of picking 1 d and 1 x? 1/35 Two letters picked without replacement from {c: 1, o: 2, j: 4, m: 3, y: 4}. Give prob of picking 1 j and 1 y. 16/91 Two letters picked without replacement from ellxkelkeekekek. What is prob of picking 1 l and 1 e? 6/35 Two letters picked without replacement from {b: 1, f: 2, r: 1, u: 1, m: 2, e: 2}. What is prob of picking 1 b and 1 u? 1/36 Two letters picked without replacement from fzmffffzfacczfazzm. Give prob of picking 1 f and 1 a. 14/153 What is prob of picking 2 l and 1 i when three letters picked without replacement from kiililiiyikk? 3/110 Calculate prob of picking 1 j and 2 x when three letters picked without replacement from {q: 2, j: 3, x: 12}. 99/340 What is prob of picking 2 o and 2 c when four letters picked without replacement from ckcdkkdceoecdon? 2/455 Calculate prob of picking 1 y, 1 r, and 1 q when three letters picked without replacement from yryxqxqrxyqrxxx. 27/455 Three letters picked without replacement from {t: 3, k: 6, f: 8}. What is prob of picking 1 t, 1 f, and 1 k? 18/85 Calculate prob of picking 1 x and 1 l when two letters picked without replacement from ttztxlzppzlzlpzz. 1/40 Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {o: 5, f: 3, d: 3, t: 2}. 5/39 Three letters picked without replacement from zjytzzyzyzk. What is prob of picking 1 t, 1 z, and 1 y? 1/11 What is prob of picking 2 h when two letters picked without replacement from {h: 15, r: 5}? 21/38 Calculate prob of picking 1 n and 1 i when two letters picked without replacement from niniiiinni. 8/15 Two letters picked without replacement from {x: 2, l: 3, g: 5, d: 1, c: 1, f: 3}. What is prob of picking 1 l and 1 x? 2/35 Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {v: 1, q: 1, s: 2, h: 1, i: 1, b: 1}. 2/21 What is prob of picking 3 i when three letters picked without replacement from {i: 7, q: 1, p: 5}? 35/286 Two letters picked without replacement from cccmmccmcmmc. Give prob of picking 2 c. 7/22 What is prob of picking 1 v, 1 q, and 1 x when three letters picked without replacement from oxqqqvwxqqqv? 6/55 Three letters picked without replacement from ggeeelg. What is prob of picking 1 e and 2 g? 9/35 Four letters picked without replacement from {h: 4}. Give prob of picking 4 h. 1 What is prob of picking 1 w and 1 f when two letters picked without replacement from finwnninnc? 1/45 Four letters picked without replacement from {f: 3, r: 1, n: 1}. Give prob of picking 1 r, 2 f, and 1 n. 3/5 Two letters picked without replacement from cmceeexccc. Give prob of picking 1 e and 1 m. 1/15 What is prob of picking 2 v when two letters picked without replacement from {r: 12, v: 7}? 7/57 Calculate prob of picking 4 i when four letters picked without replacement from {i: 18, g: 2}. 12/19 Two letters picked without replacement from jcnplpcpjpc. Give prob of picking 2 c. 3/55 Two letters picked without replacement from vfbqvuqu. What is prob of picking 2 u? 1/28 Two letters picked without replacement from {r: 5, f: 2, n: 1, z: 1, v: 8}. Give prob of picking 1 f and 1 r. 5/68 What is prob of picking 4 a when four letters picked without replacement from aakaakaaaka? 7/33 What is prob of picking 1 y and 1 x when two letters picked without replacement from {y: 6, x: 2}? 3/7 What is prob of picking 1 c and 1 j when two letters picked without replacement from {j: 2, c: 4, b: 7, p: 5}? 8/153 Two letters picked without replacement from aaddddaadrd. Give prob of picking 1 d and 1 a. 24/55 Three letters picked without replacement from apppapnxxppp. Give prob of picking 2 a and 1 x. 1/110 Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {r: 8, l: 5, k: 2, c: 4}. 40/171 Calculate prob of picking 1 d and 3 y when four letters picked without replacement from {d: 4, y: 3, x: 5}. 4/495 Two letters picked without replacement from {j: 1, c: 2, r: 1, k: 1, p: 1, h: 2}. Give prob of picking 1 r and 1 k. 1/28 Two letters picked without replacement from {i: 1, d: 1, l: 2}. Give prob of picking 1 l and 1 d. 1/3 Three letters picked without replacement from yqqthwmqmhty. What is prob of picking 1 t and 2 y? 1/110 What is prob of picking 1 r, 1 v, and 2 l when four letters picked without replacement from {b: 3, c: 1, v: 3, h: 1, r: 1, l: 2}? 1/110 Calculate prob of picking 1 b and 3 z when four letters picked without replacement from {z: 8, b: 3}. 28/55 Four letters picked without replacement from {o: 1, l: 1, i: 1, y: 1, r: 4}. Give prob of picking 1 o, 1 y, 1 r, and 1 i. 2/35 Calculate prob of picking 2 j and 1 e when three letters picked without replacement from fejrj. 1/10 Four letters picked without replacement from psyppppppppppp. Give prob of picking 4 p. 45/91 What is prob of picking 1 d and 1 n when two letters picked without replacement from {s: 1, n: 2, d: 2}? 2/5 What is prob of picking 1 e, 1 z, and 1 y when three letters picked without replacement from {e: 2, y: 3, m: 5, z: 2}? 3/55 Two letters picked without replacement from {a: 9, i: 10}. Give prob of picking 2 i. 5/19 Three letters picked without replacement from shqsehqezqhhcqqh. Give prob of picking 2 e and 1 s. 1/280 Two letters picked without replacement from {x: 13, h: 5}. What is prob of picking 1 h and 1 x? 65/153 Three letters picked without replacement from {v: 4, a: 15}. Give prob of picking 1 a and 2 v. 30/323 Two letters picked without replacement from gmfnskmkmkkkgmkmk. What is prob of picking 1 f and 1 g? 1/68 What is prob of picking 1 a and 2 b when three letters picked without replacement from aabbabbabbb? 28/55 What is prob of picking 2 z when two letters picked without replacement from zzzzzhhzzhzzzz? 55/91 What is prob of picking 4 e when four letters picked without replacement from {e: 5, a: 8, t: 3}? 1/364 Calculate prob of picking 1 d and 1 p when two letters picked without replacement from vpkqvdk. 1/21 Two letters picked without replacement from ayfyoyf. Give prob of picking 1 a and 1 y. 1/7 Four letters picked without replacement from {v: 5, z: 1, g: 4}. Give prob of picking 4 g. 1/210 Four letters picked without replacement from mxdmxmdddn. Give prob of picking 2 m and 2 x. 1/70 Two letters picked without replacement from {o: 1, y: 2, b: 3, u: 4}. Give prob of picking 1 u and 1 y. 8/45 Three letters picked without replacement from {v: 10, w: 1, y: 8}. What is prob of picking 1 w, 1 v, and 1 y? 80/969 Three letters picked without replacement from {a: 4, o: 2, j: 1, y: 1, t: 1}.
{ "pile_set_name": "DM Mathematics" }
In base 11, what is -4 - -295? 291 In base 6, what is -34 + 234? 200 In base 4, what is -1211231 + 3? -1211222 In base 14, what is -3 + 2ba? 2b7 In base 3, what is -2222 + -120? -10112 In base 13, what is -9091 + 5? -9089 In base 3, what is -1 + 1112100? 1112022 In base 10, what is -3 + -94? -97 In base 9, what is -5 - 2073? -2078 In base 14, what is 2 - -25? 27 In base 6, what is -123 + 140? 13 In base 14, what is -2 + 89? 87 In base 11, what is 5 + -1437? -1432 In base 16, what is 3 - -dd? e0 In base 5, what is 33 - 404? -321 In base 2, what is 1010101001 + -111? 1010100010 In base 9, what is 6731 + -2? 6728 In base 7, what is 153 - 1? 152 In base 15, what is 5 - 41b? -416 In base 8, what is 62 - -2? 64 In base 2, what is 1011100 - 0? 1011100 In base 12, what is -2abb - 2? -2b01 In base 15, what is 7a + -1? 79 In base 2, what is -10010010 + 101? -10001101 In base 2, what is 10111111 + -1011? 10110100 In base 10, what is 4 + 47? 51 In base 14, what is 4 + 30dc? 3102 In base 9, what is 1007 - -6? 1014 In base 13, what is -1 - 57? -58 In base 12, what is -34 - -3? -31 In base 8, what is -156 + 7? -147 In base 10, what is -1 - 44? -45 In base 8, what is -6 - 11? -17 In base 12, what is -5b - 78? -117 In base 6, what is 1421 + 3? 1424 In base 6, what is -1 + -5? -10 In base 10, what is 2325 - -4? 2329 In base 11, what is 611 - -5? 616 In base 13, what is 2202 + 8? 220a In base 2, what is -1011 - 11? -1110 In base 10, what is -105 - 12? -117 In base 12, what is a21 - -3? a24 In base 6, what is -4 + -3045? -3053 In base 10, what is 389 - -13? 402 In base 8, what is 506 + 2? 510 In base 13, what is -110 - 1? -111 In base 2, what is 100 - -101101010011? 101101010111 In base 4, what is 32 + -22? 10 In base 8, what is -105 - 3? -110 In base 5, what is -4 + -122131? -122140 In base 2, what is -100 - 10100101? -10101001 In base 5, what is -23 + 1431? 1403 In base 4, what is 100 + 1? 101 In base 7, what is 221 + 1? 222 In base 3, what is 11 + -222? -211 In base 13, what is b7b9 - 3? b7b6 In base 5, what is 240423 - 10? 240413 In base 11, what is 3 - -8a7? 8aa In base 15, what is 8 - -e8? 101 In base 3, what is -201 - -120? -11 In base 3, what is -1101 - -1222? 121 In base 7, what is -3 - -2043? 2040 In base 9, what is 438 - 7? 431 In base 13, what is -58 - 10? -68 In base 4, what is -130 - -131? 1 In base 10, what is 4 - 7748? -7744 In base 11, what is -3 + -188? -190 In base 13, what is 294 + -1? 293 In base 10, what is 8 + -24? -16 In base 6, what is 25 - -114? 143 In base 5, what is 20 + 1? 21 In base 4, what is -2000 - -12? -1322 In base 3, what is -102 - 121? -1000 In base 7, what is -604 + -1? -605 In base 2, what is 10010011011 + 1? 10010011100 In base 16, what is -1 + -514? -515 In base 6, what is 552 + -1? 551 In base 5, what is 0 + 240? 240 In base 8, what is -4 - 42? -46 In base 6, what is 1500 - -111? 2011 In base 7, what is -4003 + -4? -4010 In base 12, what is -38 - 2? -3a In base 15, what is -e6 - 2d? -124 In base 9, what is -2511 + 1? -2510 In base 5, what is 1130 + -3? 1122 In base 8, what is 1 + 20? 21 In base 13, what is 1a - 23? -6 In base 6, what is 4 + -1222? -1214 In base 7, what is -42 - 10? -52 In base 6, what is -4 - -22511? 22503 In base 8, what is 433 + -27? 404 In base 15, what is 7 - -11? 18 In base 13, what is 1 + 14a? 14b In base 12, what is a4 - 4? a0 In base 11, what is 2 + 33? 35 In base 2, what is -10100101 - 100? -10101001 In base 15, what is 0 - -3a? 3a In base 12, what is 49 - -15? 62 In base 15, what is 8 - -17? 20 In base 9, what is 8 - -1? 10 In base 5, what is -24204 - -3? -24201 In base 14, what is a32 + 1? a33 In base 10, what is 440 + 1? 441 In base 15, what is 25 + -a? 1a In base 14, what is -1b + 177? 15a In base 13, what is -196 - 4b? -214 In base 10, what is 5 + 23? 28 In base 10, what is 89 - -6? 95 In base 15, what is 18ec + 1? 18ed In base 16, what is -4 - -4f2? 4ee In base 16, what is 7f - -2? 81 In base 3, what is -12 + -222? -1011 In base 13, what is 11 - -1? 12 In base 7, what is -1302 + -101? -1403 In base 8, what is -3 - 12564? -12567 In base 13, what is 6 - -99? a2 In base 3, what is 2011020 + 1? 2011021 In base 8, what is -130 - 1? -131 In base 13, what is 13 + -67? -54 In base 13, what is -3 + -105? -108 In base 12, what is -a8 + 2? -a6 In base 12, what is 1 + -65a? -659 In base 8, what is 1 - -7236? 7237 In base 4, what is -213200 - 2? -213202 In base 14, what is -3 + bb? b8 In base 2, what is -1 - -1001000110? 1001000101 In base 2, what is 11 + -110010010? -110001111 In base 15, what is 10 - -93b? 94b In base 5, what is 4 + -2310? -2301 In base 4, what is -10 - -122? 112 In base 13, what is 1 + -1c? -1b In base 8, what is 6 + 14116? 14124 In base 9, what is -50 - -1? -48 In base 7, what is -31 + -2? -33 In base 4, what is 230333 - 0? 230333 In base 4, what is -21 - 1? -22 In base 6, what is 1025 - 21? 1004 In base 15, what is -7 - a5? -ac In base 9, what is 34 + 26? 61 In base 3, what is 11 + 1021? 1102 In base 14, what is -743 - 5? -748 In base 3, what is 200011 - -10? 200021 In base 9, what is 0 - -10174? 10174 In base 3, what is -102121 - 1? -102122 In base 10, what is -1812 - 1? -1813 In base 7, what is 5006 - 4? 5002 In base 2, what is -10001 + 11001010? 10111001 In base 15, what is 47 - 6d? -26 In base 4, what is -222 + 11? -211 In base 6, what is -1 - -2334? 2333 In base 4, what is -1100020 + -3? -1100023 In base 7, what is -151 + -1? -152 In base 5, what is -444 - -10? -434 In base 5, what is -433301 + 4? -433242 In base 10, what is -120 - 11? -131 In base 8, what is 10 + -31? -21 In base 11, what is 1 - -63? 64 In base 7, what is -366 - -5? -361 In base 8, what is 70 - 16? 52 In base 5, what is -322 + 3? -314 In base 4, what is -123 + 110? -13 In base 2, what is 11 - 10? 1 In base 7, what is -134 + 0? -134 In base 3, what is -211102 + -12? -211121 In base 10, what is -15 - -5? -10 In base 6, what is 12005 - -2? 12011 In base 3, what is -12011 + 10? -12001 In base 9, what is -442 - -4? -437 In base 9, what is 8 - -4? 13 In base 6, what is -4 + -24? -32 In base 5, what is 1 + 2104? 2110 In base 7, what is -1 - -24? 23 In base 3, what is -2 - 1120? -1122 In base 6, what is 4 + 131? 135 In base 6, what is -3 - -5135? 5132 In base 14, what is -5 + 7c3? 7bc In base 14, what is -192 + 8? -188 In base 13, what is -b54 - 5? -b59 In base 10, what is -1452 - 0? -1452 In base 13, what is 121 + 1? 122 In base 14, what is -4 - -45d? 459 In base 4, what is 12111 + 10? 12121 In base 15, what is 12bc + -4? 12b8 In base 9, what is -1401 - 0? -1401 In base 13, what is -351b - 2? -3520 In base 4, what is -313 + 2? -311 In base 7, what is 110 - -5? 115 In base 6, what is 1512 + 2? 1514 In base 2, what is -1 + 10010011? 10010010 In base 6, what is -1 + 1301? 1300 In base 5, what is 12 - 42? -30 In base 3, what is -11112 - 1010? -12122 In base 12, what is -9 - -249? 240 In base 3, what is 10000 + -1022? 1201 In base 13, what is 10c + 1? 110 In base 6, what is 4 + -533? -525 In base 5, what is 420 + 43? 1013 In base 9, what is 2 - 1522? -1520 In base 7, what is -6 - -40? 31 In base 5, what is 10314 + 2? 10321 In base 14, what is -2b93 - -3? -2b90 In base 10, what is 8 - -14? 22 In base 15, what is -9 - -b7? ad In base 12, what is -2b6 - -5? -2b1 In base 15, what is 94 - 5? 8e In base 8, what is -5317 + -3? -5322 In base 16, what is -5 - 1b3? -1b8 In base 7, what is 4413 + 4? 4420 In base 12, what is 1 + -4284? -4283 In base 13, what is 12 - -25? 37 In base 5, what is 2 + -400? -343 In base 10, what is -112 + 2? -110 In base 15, what is -127 + 2? -125 In base 12, what is -1 + 99? 98 In base 16, what is -1 + 199? 198 In base 9, what is 5 - 51? -45 In base 2, what is -101 - 1100001? -1100110 In base 4, what is 2002 + -2? 2000 In base 9, what is 4 - -17? 22 In base 6, what is -52 + 3? -45 In base 8, what is -571 + -27? -620 In base 5, what is 1 - 43311? -43310 In base 10, what is -10629 - -5? -10624 In base 11, what is -6 + -3a? -45 In base 10, what is -3 + -33? -36 In base 2, what is -1001101 - -1011? -1000010 In base 8, what is 3660 - 3? 3655 In base 10, what is 5 + -1875? -1870 In base 2, what is 0 - -11111101? 11111101 In base 12, what is -1ab57 - 5? -1ab60 In base 2, what is -1000001 + 1000? -111001
{ "pile_set_name": "DM Mathematics" }
3*d - 843 = -4*s. Does 30 divide s? False Suppose 5 = t - 2*t. Let b = 14 + t. Is 9 a factor of b? True Suppose 3*o - 187 = 2*o. Does 13 divide o? False Let o be 5/3 - 8/(-24). Suppose -o*b + 40 = -2. Is 21 a factor of b? True Let p = -48 - -126. Let r = p + -45. Is 11 a factor of r? True Let o(k) be the first derivative of -k**6/360 - 3*k**5/40 - k**4/3 - k**3/3 - 3. Let c(t) be the third derivative of o(t). Is c(-6) a multiple of 10? True Suppose z - 6 = -2. Is 7/(7/44) - z a multiple of 20? True Let i(q) be the first derivative of -q**7/840 - q**6/60 + q**5/40 - q**4/6 + q**3 - 2. Let b(s) be the third derivative of i(s). Is b(-7) a multiple of 12? True Suppose -2*w + 58 + 44 = 0. Does 3 divide w? True Is 7 a factor of (14/8)/(7/56)? True Suppose h - 5*h = 40. Let d(g) = -5*g**3 + 4*g**2 + 8*g + 12. Let r(l) = l**3 + l**2 - l. Let v(m) = -d(m) - 6*r(m). Is 8 a factor of v(h)? True Suppose 4*n + n = 0. Let t be (-4 + 14)*(-1)/(-2). Suppose -r + t = -n. Is r a multiple of 2? False Let y(x) = x**3 + x**2 + 2. Let s be y(0). Suppose -s*p = -2*q - q + 36, 12 = q + 4*p. Is 6 a factor of q? True Let w(k) = -6*k**3 + 2*k**2 - 1. Let p be w(1). Let t(x) = -x**2 + 5*x + 4. Let b be t(7). Let h = p - b. Does 2 divide h? False Let b(q) = q**2 - 6*q + 2. Let i be b(5). Let u be ((-4)/i)/((-8)/(-36)). Is (-3)/9 + 80/u a multiple of 7? False Suppose -u = -108 - 55. Suppose -26 = -3*t + u. Let c = 105 - t. Is c a multiple of 21? True Suppose -8 = 7*a - 43. Is a a multiple of 2? False Suppose 3*j = 3*t + 93, -2*j = 5*t - 120 + 30. Let o(s) = -2 - 10*s + 1 + j*s. Is o(1) a multiple of 11? False Let n be 46/11 + (-6)/33. Suppose -2*z + 134 = 3*f, -z = n*f - 174 - 8. Is f a multiple of 11? False Let h(z) = 68*z + 2. Is 7 a factor of h(1)? True Let r be 1/(-2) + (-2)/(-4). Let a(p) = p**2 + 5. Is 4 a factor of a(r)? False Let w = 8 + 24. Is w a multiple of 12? False Does 4 divide (-209)/(-44) + 3/(-4)? True Let y = 2 - 2. Suppose y = -3*n + n. Suppose 0 = 5*d - n*d - 20. Is 2 a factor of d? True Suppose 448 = -2*i + 10*i. Does 8 divide i? True Let f = -90 - -131. Suppose l + 2*s - f = 0, -4*l - s - 4*s + 176 = 0. Is l a multiple of 11? False Suppose t - 5*t + 818 = -3*i, -808 = -4*t - 2*i. Does 17 divide t? False Let l = -4 - 0. Let g = l - -6. Suppose -g*m + 26 = -m. Is 9 a factor of m? False Suppose 2*s + 3*s - 605 = -4*r, 0 = -3*r - 3*s + 453. Is r a multiple of 19? False Let d(c) be the third derivative of 1/4*c**4 + 0 + 1/15*c**5 + 0*c + 1/6*c**3 - 3*c**2 - 1/120*c**6. Is 2 a factor of d(5)? True Let l = 33 - 48. Suppose -j - 2 = -4. Let w = j - l. Is 17 a factor of w? True Suppose -6*t + 60 = -4*t. Is 10 a factor of t? True Suppose l - 6 = -2*l. Suppose l*q = -3 + 21. Suppose 0 = -2*x - 2*c + c + q, 3*c + 13 = 2*x. Is x even? False Is (-2)/3 + 41/3 even? False Let l = 33 + 11. Let k be l/10 + (-2)/5. Suppose -k*c + 2*t = t - 182, -2*t = 4. Is c a multiple of 13? False Let b(q) = -70*q - 5. Does 18 divide b(-1)? False Let g be 1*-3*7/(-3). Let u(d) = d**2 - 4*d + 3. Let j be u(g). Suppose -j = -4*r - p, 4*p + p = -r - 13. Does 7 divide r? True Let s(k) = -3*k - 5. Let d be 3/(39/(-21) - -2). Suppose 4*b - 5*n + 7 = -d, -3*n = 0. Is 13 a factor of s(b)? False Let d = -9 + 12. Suppose -3*y = 3 + d. Is 9 a factor of 33/3 + y + 2? False Let g be ((-4)/(-2))/(-2)*-45. Suppose -g = -4*y - y. Is y a multiple of 7? False Is (9/6)/(6/16) a multiple of 3? False Let a = -5 + -1. Let d = -4 - a. Suppose -d*f - 30 = -3*f. Is 20 a factor of f? False Suppose 0 = -6*z + 3*z. Is 16 a factor of 13 + z + 27/9? True Let z = -12 + 20. Does 2 divide z? True Suppose 2*y + 96 = 5*y. Let s = -16 + y. Is s a multiple of 8? True Let c = 38 + 58. Suppose 3*j + 3*y = c, 4*j - 146 = -0*j + 2*y. Does 9 divide j? False Let h(k) = 28*k - 13. Is h(5) a multiple of 25? False Suppose -t - 3 + 6 = 0. Suppose 0 = t*u - 2*u - 22. Is u a multiple of 11? True Let d = -7 + 11. Let n = d - -16. Is n a multiple of 10? True Let w(i) = -6*i - 2. Suppose 3*j + 5*g = g - 10, -5*j - 28 = g. Does 17 divide w(j)? True Suppose 78 = -4*i + 7*i. Is i a multiple of 26? True Let v(s) = s**3 + 6*s**2 + 5*s - 2. Let d(c) = -c**3 - 7*c**2 - 5*c + 3. Let l(r) = -2*d(r) - 3*v(r). Is 6 a factor of l(-4)? False Suppose j + 0*j = -6. Let z be (j/(-2))/(6/4). Suppose -z*f = -3 - 11. Does 4 divide f? False Is -6*84*2/(-9) a multiple of 28? True Suppose 0 = -2*j + 10, -4*h + 2*j = 2 - 4. Suppose h*y + 0*y = 0. Suppose -7*s + 3*s + 52 = y. Does 5 divide s? False Let g(u) = u**2 + u + 4. Is g(3) even? True Suppose x = -13 + 61. Is 10 a factor of x? False Suppose 2*y + 18 = -4*h, -3*y = 5*h - y + 21. Does 4 divide h - (-10 - -1) - -2? True Suppose -5*a = 169 - 604. Let f = a - 60. Is f a multiple of 9? True Suppose 0*i + 93 = 4*k + 3*i, -5*k - 3*i = -117. Is k a multiple of 6? True Let h be 10/(-3)*(4 + -1). Let g(z) = 3*z - 4 + 0*z + 4*z**2 - 3*z**2 - 7. Is 20 a factor of g(h)? False Suppose -2*i = -4*i - 14. Let b = -11 - i. Is 13 a factor of (-103)/(-4) - 1/b? True Let q be 1/(7/(-3) + 2). Let n(s) be the second derivative of s**4/12 + s**3/6 - 2*s. Is n(q) a multiple of 6? True Let h = -260 - -367. Is 30 a factor of h? False Let w be (-6204)/(-30) + 2/10. Let m = -309 + w. Is 10 a factor of m/(-5) + 4/(-10)? True Suppose 0 = -4*d + 2*k - k - 99, 5*d + 3*k + 145 = 0. Let j be 1/5 + 478/10. Let h = j + d. Is 11 a factor of h? True Suppose -4*o = -8, -2*i + 4*o = 2 + 6. Suppose 3*l - p - 1 = i, -p = 4*p - 10. Let h = l - -14. Is h a multiple of 15? True Let b = 33 - 28. Suppose 3*g - 210 = t - b*t, 2*t + g = 106. Is 18 a factor of t? True Let n = 1 - -2. Suppose -12 = -0*b - n*b. Suppose 15 + 11 = v - 5*f, 72 = 5*v + b*f. Is 8 a factor of v? True Suppose -5*r = 25, 10 = -0*h - 5*h - 4*r. Let x(y) = y - h + 0*y + 2*y. Does 10 divide x(4)? True Suppose 4*c - 57 = 35. Let x = 51 - c. Is x a multiple of 11? False Let i(p) = p**2 + p + 5. Let g be i(0). Suppose -224 = -g*m + m. Does 8 divide m? True Let i(c) = 8*c**2 + 3*c - 6. Is 9 a factor of i(2)? False Let i = -60 + 116. Suppose -163 = -5*q + 4*d, -q - 15 = -5*d - i. Is q a multiple of 7? False Suppose 0 = 4*o - o - 93. Is o a multiple of 9? False Let g(x) = 7*x - 1. Suppose -4*b + 16 = 0, -4*v + 5*b + 0 = -12. Suppose 4*u + q - 15 = 0, v*u = 3*u + 5*q. Is g(u) a multiple of 17? False Let w be 1 - (-5)/(-3)*3. Let g(y) = -6*y + 4. Let l be g(w). Let s = -8 + l. Is 20 a factor of s? True Suppose j = 56 + 65. Is j a multiple of 12? False Let j = -3 - -6. Is 27/(((-18)/(-4))/j) a multiple of 9? True Let u(n) = -n**3 + 3*n**2 - n - 3. Let a be u(3). Is 17 a factor of (-268)/a*(-6)/(-4)? False Is 14 a factor of (-14 + 13)/((-2)/136)? False Suppose -t + 2*b = 5*b - 108, -4*t + 3*b = -417. Is t a multiple of 21? True Let q(b) = -b**2 + 6*b + 7. Let m be ((-15)/((-3)/(-1)))/(-1). Is q(m) a multiple of 6? True Let w = -17 + 22. Suppose 5*i = -3*a + w, -2*i - 2 = 5*a - 23. Is 5 a factor of a? True Suppose 5*j + 3 = 2*c + 1, -3*j + 14 = -5*c. Is 3 a factor of 12/c + -2 + 15? False Suppose f - x = -2, 2*x - x = -2*f + 8. Suppose -f*k - 14 + 86 = 0. Is 12 a factor of k? True Let w(x) = -6*x - 30. Does 14 divide w(-16)? False Let x = -2 - 4. Does 4 divide (-10)/(-3) - 4/x? True Let f(v) = -3*v**2 - 11*v - 2. Let c(s) = -4*s**2 - 12*s - 1. Let k(o) = 2*c(o) - 3*f(o). Let x be k(-9). Suppose x*u = 60 + 12. Is u a multiple of 6? True Suppose 4*h - 5*h = 0. Suppose 5*o + 2 - 32 = h. Does 4 divide o? False Let w(q) = -3*q**2 + 8*q - 3. Let h(x) be the second derivative of x**4/12 - x**3/2 + x**2/2 + x. Let b(s) = -17*h(s) - 6*w(s). Is b(3) a multiple of 7? False Suppose -d = -0*d - 19. Does 5 divide d? False Let b(q) = 3*q**2 - 11*q + 24. Does 7 divide b(5)? False Suppose o = 2*o - 266. Suppose 0 = -0*u - 2*u + o. Let l = u + -95. Is l a multiple of 19? True Let b = -26 - -28. Suppose -b - 18 = -5*c, 2*q + c = 118. Is 19 a factor of q? True Let r = -12 - -29. Suppose 2*u - 3*u = -r. Is 14 a factor of u? False Let n = -22 - -67. Suppose -5*b = 5*m - n, 3*b + 2*m - 35 = -5. Suppose 5*s - b - 8 = 0. Is s even? True Let q(a) = -a**3 + 11*a**2 + 2. Let z be q(11). Let k(x) = 5*x**3 - 3*x**2 + x + 1. Let s be k(z). Is 17 a factor of 3 + -2 + s - 2? False Suppose 3*x + 36 = n, -5*n + x = -2*x -
{ "pile_set_name": "DM Mathematics" }
*(-13))**2/((l*(l/(l**(-2)/l*l))/l)**36*l/(l/((((l/l**(-9))/l)/l)/l))*l**1) assuming l is positive. l**(-108) Simplify (b**(-5/4)*b**2*b)**11/(b/b**(-4)*b*b**3*b)**(-16/3) assuming b is positive. b**(871/12) Simplify (f**8*f)**(-12)*f**40*f/f**(1/46) assuming f is positive. f**(-3083/46) Simplify (a/a**(-2/3)*a/a**4)**(1/27)/((a*a/a**(1/3)*a)/a*(a*a**(-1/3))/a*a**7*a**3*a) assuming a is positive. a**(-1003/81) Simplify ((g/(g*g*g*g**16*g*g)*g*g*g/g**(1/2))/((g**(2/59)/g)/(g**(-1/34)/g)))**(11/4) assuming g is positive. g**(-48444/1003) Simplify (s**11*s/(((s**(-2)*s)/s)/s*s))**29*s/s**(1/2)*s**(-4/9)*s/(s**(2/3)/s)*s**(7/3) assuming s is positive. s**(7375/18) Simplify y**41/(y**(-7)*y)*(y/y**(-26/7))**2 assuming y is positive. y**(395/7) Simplify ((((t*((t**3*t)/t)/t*t)/t)/t**(-3))/(t**0)**(-1/40))/((((t/((t**(-2/5)*t)/t))/t*t)/t)**(2/17))**9 assuming t is positive. t**(474/85) Simplify (g/(g**(2/7)/g))**(-40)/(g**(-3/8)*g/((g/(g/(g/g**(6/11))))/g))*g*g**(-1/4)*g*g**6/g*g**(2/3)*g*g**(2/5) assuming g is positive. g**(-562949/9240) Simplify (((l*l*l*(l**(-6/11)*l)/l*l)/(l/(l*l*l**(-5/11))*l))/(l**7)**(-4/9))**(-3/4) assuming l is positive. l**(-55/12) Simplify ((k**(2/17))**(1/28)/(k**(-4/7)/(k*k/k**(-34))))**(1/28) assuming k is positive. k**(8705/6664) Simplify ((n**0*n)**(20/9)*n**(2/15)/n**(-2))/(n/n**(-2)*n**(2/3))**(-5) assuming n is positive. n**(1021/45) Simplify ((z/(z**(-22)/z*z)*z*z*z**(-13))/(z**(4/9)/z**(5/4)))**(-35) assuming z is positive. z**(-16135/36) Simplify (j**(-1/2))**(-43)*(j**(-1))**44*((j/j**(-1/7))/j*j**(-1/3)*j)**(28/5) assuming j is positive. j**(-539/30) Simplify (((h**6*h)/h**(-2/23))/((h*h**(-1/6)*h)/(h*h/h**1*h)))/(h**(2/3)/(h*h*h**4)*(h**(-5)*h)/h**(1/7)) assuming h is positive. h**(5387/322) Simplify ((m/(m/m**7))/(m*m/m**(-7)))/(m*m**(1/2))**34*((m*m**(-1))/m)/(m*(m**(-5)/m)/m*m)*m/m**(-4)*m**(-2/7)*m assuming m is positive. m**(-303/7) Simplify (q**(3/22)*q/(q/q**15))/(q**(-13/5)/(q**(19/5)/q)) assuming q is positive. q**(2259/110) Simplify (z**5*z*z/(z*z/z**(-2)))**7/(z/(z/(z**(2/17)/z))*z/z**(-4/5))**(-23) assuming z is positive. z**(3579/85) Simplify (k*k*(k/(k*k**(-1/47)*k*k))/k)/k**(37/4)*(k**(-2/13))**(10/17) assuming k is positive. k**(-428743/41548) Simplify (((q*((q/(q/(q/(q*q**(-3/7)))))/q)/q)/(q*q*(((q**(-10/3)*q)/q)/q)/q*q))/((q**34/q)/q*q*q/q**(-3/5)))**50 assuming q is positive. q**(-34480/21) Simplify ((b**(1/4)/b)**(-49)/(b*b*b**(2/15)*b*b/(b*b**(-3/4))))**(2/5) assuming b is positive. b**(986/75) Simplify (f**(13/3)*f**8)/((f**(-41)/f)/f)**11 assuming f is positive. f**(1456/3) Simplify ((q*q**(-4/5)*q*q)/(q**(-2/11)/q))**46*(q**(-2/5)/q)**29*q**(-4/7)*q/q**(-6) assuming q is positive. q**(46736/385) Simplify (u*u**(-6/5)*u*u*u**(-6))**(-3/17)*(((u*u/u**1)/u*u)/u*u**(-4/3))**30 assuming u is positive. u**(-3337/85) Simplify (((l/(l*l**(-1/15)*l*l))/l**2)/(l*l**(-10)*l*l**(-1/9)))**(1/31) assuming l is positive. l**(188/1395) Simplify ((c*(c*c**(-1/3)*c)/c*c)**(8/5)/(c**1)**(7/2))**(-27/2) assuming c is positive. c**(-207/20) Simplify ((b*(b/(b*b**(1/2)))/b)**(-20)/(b/(b*b**7)*b*b*b*b*(b*b**(1/4))/b))/(((b/b**1)/b)**50*b**5*b**2) assuming b is positive. b**(223/4) Simplify (((v**6/v**(-2/17))**0)**19)**13 assuming v is positive. 1 Simplify (i/(i**(-3/8)*i)*i**2*i/(i/i**(-7))*i**(1/2))/(i**(-4/11)*i**(-9))**(-28) assuming i is positive. i**(-23435/88) Simplify (((c/(c*c**(-3))*c)/c)**43)**(29/3)/((c*c/(c**0*c)*c*c/(c*c/c**(2/9))*c)/((c**(-4)/c)/c**8)) assuming c is positive. c**(11086/9) Simplify (r**4*r**(-3/5)/r)/(r**(1/3)/r**(5/4))*((r*r/((r/r**(-2/13))/r))/r*r*r**(3/8))**29 assuming r is positive. r**(105659/1560) Simplify ((((l*l*l**(-2/7))/l**(1/4))/((l/l**0)/l)**43)**(14/5))**(-36) assuming l is positive. l**(-738/5) Simplify (((c/c**0*c)/(c**(-4/5)/c))/((c*c**(-1)*c)/(c*c**(-5))))/(((c*c**(-2))/c**(-2/3))/(c**(1/5)*c*(c/(c/c**(-2/21)))/c)) assuming c is positive. c**(-16/21) Simplify ((i**8/i*i*i/((i*i**(-4/9)/i)/i))/(i*i/(i**(-2)/i))**40)**30 assuming i is positive. i**(-17060/3) Simplify ((r**7)**(-1/58)*(r**6)**16)**3 assuming r is positive. r**(16683/58) Simplify ((p**(-3/4)/p**7)/((p**1/p*p)/(p/(p*p/(p**(-4/9)*p)))))/((p/(p/p**(-5/6)*p)*p)/(p*p**(-6))*(p**(-1)*p)**44) assuming p is positive. p**(-481/36) Simplify k*k*k**7*k**(2/5)*k*(k/(k**(-2/19)/k))/(((k**(-5/4)/k)/k)/k)*k*k**6*k**(-1/8)*(k*k*(k/k**(2/7))/k*k)/k**(-2) assuming k is positive. k**(150793/5320) Simplify (v/v**(1/3)*v/(v/(v**(-17)/v))*v*v*v**4*v*v**(3/4))**(-37) assuming v is positive. v**(4255/12) Simplify ((l**17/((l**12*l)/l))/(l**(1/18)/(l/(l**(10/11)/l))))**(-1/8) assuming l is positive. l**(-1195/1584) Simplify (z*z**4*(z/(z/(z*z**(-2/15)/z)))/z)**18/(((z/(z/z**1)*z)/z)/(z**(-4)*z*z)*z**(-1)/(z*z**(-2/13))) assuming z is positive. z**(4449/65) Simplify ((r**(-1))**(2/21))**(1/2)*(r*r*r/r**(1/2)*r)**(-2/71)*((r**5/r)/r)/(r*r**(2/7)) assuming r is positive. r**(334/213) Simplify ((w/(w/(w**(-21)/w*w))*w*w*w**(-2)*w*w)/(((w*w/w**(3/25))/w)/(w*w/((w*w/(w*w**37))/w))))**(-35) assuming w is positive. w**(-3346/5) Simplify ((r*r**0*r*r)**10)**(-49)/((r**(4/9)*r*r/(r*r**(-5)))/(r/(r/(r**6*r)*r)*r**(-3))) assuming r is positive. r**(-13261/9) Simplify (q**(-1)/q)**(2/147)/(((q*q**(-1/2)*q)/q*q)/(q*q**(-4)*q))*(q*q**(-6)*q*q*q*q**(1/2))**36 assuming q is positive. q**(-16913/294) Simplify ((r*r**0)**(19/2)*(r*r**(-1)*r*r)**45)/((r*r/(r**(-2/7)/r)*r*r)**(-4/19)*r**2/((r*r**(-7))/r)) assuming r is positive. r**(24369/266) Simplify ((d**(-2/9))**(-1/28)/((d/d**(-2))/d*d**(-3)*d))**(17/6) assuming d is positive. d**(17/756) Simplify ((d*d/(d*d**(-1/17))*d**13)/(d/d**(9/4)*d**(1/9)))**(2/19) assuming d is positive. d**(9301/5814) Simplify ((b/((b/(b*b/b**1))/b))**28)**(1/71)*((b**1/b)**(9/10))**6 assuming b is positive. b**(56/71) Simplify ((s*s**(-8/3)*s)/s**(-2/13))/((s/s**(3/10)*s)/(s*s**(-35))) assuming s is positive. s**(-14123/390) Simplify (((w*(w*w*w/(w*w/w**(-3/8))*w)/w)/w**(3/7))/((((w/w**(2/25))/w)/w)/((w/(w/(w/(w/w**(-3/13)))))/w)))**25 assuming w is positive. w**(19031/728) Simplify (d*d**1*(d/d**(-1/3))/d*(d*d*d*d**6)/(d*d**(-1)*d))/(((d/(d**(-2)*d*d))/d)/(d*d/(d/(d*d/(d*(d/d**(-2))/d)))*d*d))**38 assuming d is positive. d**(259/3) Simplify ((l**(-1)*l)**45*(l*l/(l*l*(l**(2/5)/l)/l))**(-5))/((l**0)**49/(l/l**0*l*l)**(-17)) assuming l is positive. l**(-59) Simplify ((r**9)**(-10/7)*(r**(6/5))**(-6/11))**(1/75) assuming r is positive. r**(-1734/9625) Simplify (p**(-4)*p*p)/(p/(p*p**5))*p**5*p**(-3)*p*p*p*(p**(-3)/p)/(p**(-5)*p)*(p/p**(-1))**(-31) assuming p is positive. p**(-54) Simplify ((d*d*d**(-1)*d)**(4/7))**(-2/29)/(d**3*d*d*d*d**(-6)*d)**(1/67) assuming d is positive. d**(-1275/13601) Simplify ((j*j**(1/10)*j)/((j/(j*j**(-8)*j)*j)/j*j*j))**(2/17)/((j/((j/(j**(2/3)*j))/j*j))**45*(j*j/j**(-2/7))/(j*j**(-1/2))) assuming j is positive. j**(-92341/1190) Simplify ((y*y*y*y**(-2/37)*y*y*((y*((y/y**25)/y)/y)/y*y*y)/y)**(-15))**(-16) assuming y is positive. y**(-178080/37) Simplify x**(-12)*x*(x*x**(2/47))/x*x*(x/x**(2/83)*x)**11 assuming x is positive. x**(45944/3901) Simplify n**(-13/2)*n/(n**(-2/3)*n)*n*n**(5/2)/n*n*(n**(-9/10)/n)/n assuming n is positive. n**(-157/30) Simplify ((u**(-7/4)*u*(u**(-3)*u)/u)/(u**(-1)/u*u)**(-12))/((u*u*u**4)/u**5*(u**(1/7)/u*u)/(u**5*u)) assuming u is positive. u**(-305/28) Simplify (p/p**(-4/7)*p/(p**3/p*p))**3*p/(p*p**(1/4)*p*p*p)*p*p/((p*p*p**2)/p)*p**(-2/3)*p*((p*p/p**(-5))/p)/p assuming p is positive. p**(-17/84) Simplify ((l/(l**(-13/3)*l)*l)**(6/13)/(l**(-29)*l**(-21)))**(-2/9) assuming l is positive. l**(-1364/117) Simplify ((y/y**42)/(y**(-36)/y)*(y*y**3*y*y*y)**(-6/11))**(2/65) assuming y is positive. y**(-172/715) Simplify (l*l*l**(1/2))**(1/52)/((l*l**(-2/13)*l*l)/(l*l**(-5)))*(l**(2/11)*l/l**(1/6))**(-2) assuming l is positive. l**(-30299/3432) Simplify (((s/(s*s**2*s))/(s/(s/s**5)))/(s**14*s/(s/s**21)))**(1/3) assuming s is positive. s**(-43/3) Simplify ((k/(k/(k*k**(-12/11)/k))*k**(-3/4)*k)**(1/3))**(-5/9) assuming k is positive. k**(185/1188) Simplify (a/a**1*a)**(-23)/(a**(-2))**(-33)*((a**(1/4))**(4/19))**(13/2) assuming a is positive. a**(-3369/38) Simplify (c**(-25)*c*c/(c/c**(8/3)))/((c*(c/(c/c**(2/53)))/c*c)/c)**(-6/5) assuming c is positive. c**(-16924
{ "pile_set_name": "DM Mathematics" }
215 + 215 + 200*v**2 to the form h + w*v + f*v**2 and give f. 163 Rearrange p**2 - 7587 - 7*p**3 + 7591 - 15*p**3 to w*p**3 + u + c*p + s*p**2 and give w. -22 Express (-3 + 3 - i)*(56*i - 27*i - 7*i - 1) + (i**2 + 0 + 0)*(-1 - 1 + 1) + i**2 + 0*i**2 - 3*i**2 in the form p*i**2 + t + o*i and give o. 1 Express -113*w - 50*w - 100*w in the form k + g*w and give k. 0 Rearrange ((-4 + 3 - 1)*(-3*t + 2*t + 0*t) + 0 + 0 + 2 - 6*t)*(-24 + 24 + 5*t) to p*t**2 + q + h*t and give h. 10 Rearrange 2 + 0 + 1 + 0*s**2 + 2*s**2 - 6*s**2 + 4*s to the form x*s + j + k*s**2 and give k. -4 Express (3*q - 5*q + 0*q + (0*q - 5*q + 4*q)*(4 - 5 + 3) - 2*q + 2 - 2 + 107*q + 66 - 66)*((-2 + 2 + 1)*(0 + 0 + 1) - 3 + 5 + 0) as b*q + x and give b. 303 Rearrange ((1 + 1 - 4)*(1 - 4 + 1) + 4 + 1 + 7 + 3 + 0 - 5)*(1 + 3 - 1)*(-49 - 14*v + 49) to the form i*v + m and give i. -588 Express -57298 + 0*c**2 + 57298 - 48*c - 12*c**2 in the form x + u*c + b*c**2 and give u. -48 Express -124 + 64*i + 82*i - 145*i as x*i + r and give r. -124 Express 0*o**3 - o**3 + 7*o**3 + (o + o + o)*(-308*o - 59*o**2 + 308*o) as t*o**3 + c*o + k + f*o**2 and give f. 0 Rearrange (-17*v**2 + 30*v**2 + 21*v**2)*(4*v - 2*v + v) + 5*v**3 + 3*v**3 - 5*v**3 to k*v + r*v**3 + b*v**2 + x and give r. 105 Rearrange (n + 6*n - 5*n)*(1 + 0 - 3) + 3*n - 11*n - 6*n + (-n - 4*n + 4*n)*(0 - 5 + 4) - 5*n - 6*n + 4*n to u + p*n and give p. -24 Express 3 + 44*i - 3*i - 8*i + 5*i as r*i + t and give t. 3 Express (1 - 1 - 2*s)*(2*s + 4*s + s) - 1 - 2 + 1 - 2*s**2 in the form x*s + h*s**2 + y and give h. -16 Rearrange 117*y**2 + y**3 + 3 - 5*y + 6*y - 122*y**2 to k*y**3 + z + g*y**2 + l*y and give g. -5 Express (-4 + 3 + 0)*(-24 + 4 - 21 - 2*y) as f + w*y and give w. 2 Rearrange -163*a + 326*a + 200*a + (-a - a + 4*a)*(1 + 2 - 4) to v + i*a and give i. 361 Express 85*q + 183*q - 637*q in the form p*q + o and give p. -369 Express 4*c**2 - 2*c**3 + 7*c + 20 + 13*c - c - 20*c as l*c + g*c**3 + k*c**2 + u and give u. 20 Express -3*f + 3*f - 4*f**4 + (0*f**4 + 0*f**4 + 2*f**4)*(10 + 14 + 8) as v*f**3 + w*f**4 + u*f**2 + k + i*f and give w. 60 Express 101*u**3 + 954*u**2 + 953*u**2 + 947*u**2 + 4*u - 2853*u**2 as k*u + b + l*u**3 + d*u**2 and give k. 4 Rearrange (-3*a + 7 - 7)*(27*a + 656 - 656) + (-2*a**2 - 2*a**2 + 6*a**2)*(-2 + 3 - 2) to the form h*a**2 + c*a + i and give h. -83 Express 5*b - 24714 + 24540 + b**2 - 5*b in the form m*b**2 + v*b + d and give m. 1 Rearrange -2*p - 22*p**3 - 1 + 3*p**3 + 16*p**3 - 2*p**2 to the form o*p + z + i*p**3 + l*p**2 and give i. -3 Express -3*k**4 + 192*k**2 + 0*k**4 - 162*k**2 + (-3*k + 0*k + 4*k)*(-2*k**2 + 2*k**2 + 7*k**3) as x*k**3 + a*k**2 + m*k + j + i*k**4 and give a. 30 Express -600*b + 3 - b**2 - 9 + 604*b in the form w*b + j + o*b**2 and give j. -6 Express (70 + 26 + 119 + 290)*(0*x - 4*x - x) as w + q*x and give q. -2525 Rearrange (3*f**3 - 2*f**3 + f**3)*(0 + 0 + f)*(-134 - 134 + 271)*(17 + 10 - 9) to the form p*f**2 + x*f**3 + b + q*f + r*f**4 and give r. 108 Rearrange 13*x - 28*x - 11 - 131 + 13*x to the form p*x + h and give h. -142 Express -965*q**2 - 7 + 1964*q**2 + 24 - 971*q**2 in the form w*q**2 + s*q + k and give s. 0 Rearrange 2041 - i**2 - 2065 - i**2 to l + n*i**2 + x*i and give n. -2 Express (-7*f + 4*f - 7*f)*(2 + 7 - 7)*(-2 - 4 + 5)*(5*f - 3*f - 3*f) as r*f**2 + n*f + k and give r. -20 Rearrange 17 + 333*v**3 + 0*v**2 + 0*v**2 - 331*v**3 + 18 to the form k*v**2 + i*v + w*v**3 + g and give i. 0 Rearrange (2*b + 2 - 2 + (0*b - b + 3*b)*(4 - 2 - 1) + 11*b - 5 + 5)*(-4 + 2 - 1)*(-2 + 1 + 2)*(24*b + 52*b + 0*b) to k + m*b + v*b**2 and give v. -3420 Rearrange (-17*h - 10 + 10)*(-8*h**3 + 8*h**3 - 4*h**3) + h**4 - 2*h**4 + 3*h**4 + 4*h**2 - 3*h**4 - 4*h**2 to l*h**4 + r + z*h + y*h**2 + a*h**3 and give l. 67 Express 4*y**2 - 1 + 1 + (-y - 2*y + 2*y)*(-2*y + 2*y - 2*y) - 25*y**2 + 196 - 196 as j*y + h*y**2 + u and give j. 0 Rearrange (1 + 0*h + 0*h - h)*(-2 - 1 + 6)*(-15*h + 33*h**2 + 15*h) to the form b*h**3 + k + c*h + f*h**2 and give f. 99 Express 2*t - 3 + 3 + (1 + 2 - 2)*(-1 - 3 + 1)*(188 - 91*t - 188) as y + p*t and give y. 0 Rearrange (-3*n**3 - 2*n**3 + n**3)*(1 - 1 + 3*n)*(1 + 8 + 14 + 5) to o + c*n**3 + w*n + y*n**4 + p*n**2 and give y. -336 Express (-2 + 2 - 2*m**2)*((1 + 4 - 3)*(9 - 4 - 1) - 66 + 25 + 24) in the form u + v*m**2 + z*m and give v. 18 Express -54*z**3 + 4*z**4 + 87*z**3 + 4*z**2 - 3*z**4 - 41*z**3 in the form u*z**4 + m*z**2 + i + g*z + s*z**3 and give s. -8 Rearrange (-2 - 1 + 5)*((-3 + 1 + 1)*(-4 + 4 - i) + (2 - 16 - 4)*(-5*i + 2*i + 5*i)) - i + 1 - 1 to the form j*i + y and give j. -71 Rearrange (-4 + 4 + v**2)*(3*v**2 - v - 4*v**2 - 3*v + (612*v + 574*v - 1141*v)*(-v - v + 3*v)) to the form z*v**3 + w*v**4 + x*v + a*v**2 + h and give w. 44 Express -6 - 6*x + 10 - 6*x - 6 in the form h*x + o and give o. -2 Express 34*p - 2*p - 35*p + 29 in the form v*p + o and give o. 29 Express (1153*s**2 - 384*s**2 - 1576*s**2)*(-4 + 2*s + 4) in the form l*s + r*s**3 + h*s**2 + n and give r. -1614 Express 31*a**2 + 0*a - 5*a + a - 26*a**2 as y*a + o + d*a**2 and give d. 5 Rearrange 3*q - 2*q**3 + 40 + 31*q - 3*q**4 - 15 - 12 - 12 to the form r*q**2 + f*q**4 + u*q + i*q**3 + c and give c. 1 Express w**3 + 2*w**3 - 4*w**3 + (-5*w + 5*w - 2*w)*(174*w**2 + 240*w**2 - 303*w**2) as l*w**3 + k + n*w**2 + u*w and give l. -223 Express -7*l - 369 - 2*l**4 + 0*l**4 - 2*l**4 - l**4 + 370 as t*l**4 + o*l + f*l**3 + x*l**2 + y and give y. 1 Rearrange 2 - 152*c**2 + 154*c**2 + 0*c - 58*c**4 + 8*c - c to m + j*c**4 + b*c**2 + u*c**3 + w*c and give w. 7 Rearrange (-4927 + 11365 + 2720 + 8536 + 8565)*(-2*t**4 + 2*t**4 + t**4) to the form f*t**4 + l*t**3 + q*t**2 + o + v*t and give f. 26259 Rearrange -28*g - 149*g - 31 + 30 - 298*g - 63*g to the form h*g + p and give p. -1 Express -18*z + 2 + 21 + 7 - 25 as v + g*z and give v. 5 Rearrange (6 - 3 - 2)*(2*x + x - 5*x) + 3*x + x - x - 13*x + 2 - 2 + x + x - x - 4 + 4 - 2*x to the form h*x + t and give h. -13 Rearrange (-2*x**2 + 5*x**2 - x**2)*(0*x - 2*x + 0*x) - 2*x**3 + 0*x**3 + 0*x**3 - 334 + 21*x**3 + 334 - 7 + 2*x**3 + 7 to q + t*x + g*x**3 + n*x**2 and give g. 17 Express (-5 - 4 + 6105*a - 6127*a)*((-5 + 0 + 4)*(-4 + 3 + 2) + 8 + 4 - 4) as u*a + i and give u. -154 Rearrange (36*x**2 + 6*x**2 - 7*x**2)*(5 - 10*x - 3 + 5*x) to the form b*x**3 + t + s*x + a*x**2 and give b. -175 Rearrange -95 - 14*a - 9*a + 21*a to m + q*a and give m. -95 Rearrange -842 + 2515 - 2*f**2 - 64*f - 837 - 836 to q*f + a*f**2 + d and give a. -2 Rearrange 3*m - 6*m**2 + 5*m**2 - m**3 - 4 - m**3 - 2*m**4 to the form c*m**3 + v + w*m**4 + x*m**2 + o*m and give x. -1 Rearrange 12*n - 37*n**3 - 43*n**3 - 40*n**3 - 21*n + 126*n**3 to the form a + q*n + b*n**3 + g*n**2 and give g. 0 Rearrange 2*m**2 + 2 - 2 + (8*m - 5*m - 10*m)*(2*m + 7*m - m) + (0*m - 2*m + m)*(6*m + 0*m - 4*m) to the form g*m**2 + i*m + s and give g. -56 Rearrange (-9 + 29 + 35*p**2 - 43*p**2)*(0 - 2*p + 0) + p**3 + 3*p**3 + 0*p**3 to the form a*p + k + h*p**3 + r*p**2 and give a. -40 Rearrange -276*a - 15*a - 110*a**2 + 107*a**2 to r*a + q*a**2 + o and give r. -291 Rearrange 747*m**3 - 431*m**3 - 460*m**3 + 2*m**2 - 2*m**3 - 2*m**2 + (-m**3 + 0*m**3 - m**3)*(0 - 1 + 2) to the form h*m**2 + i*m**3 + g*m + v and give i. -148 Express -3*m**3 + 0*m - 6*m + 7*m + 2 - 1 as j*m**2 + f + l*m**3 + n*m and give f. 1 Express (369*y**3 - y**2 + 9*y**2 - 360*y**3)*(-1 + 0 + 5)*(-2 - 2 + 9) in the form q + v*y**2 + s*y + k*y**3 and give v. 160 Rearrange -b + 7*b**2 - 10*b**4 - 1 - 11*b**2 + 8*b**4 to q + k*b**2 + i*b**4 + g*b**3 + f*b and give q. -1 Express (1 - 1 + a - 2*a + 0*a + a + (1 - 2 + 3)*(-5*a + 2*a + a) - a - 1 + 1 + 2*a - 4 + 4)*(49*a - 36*a + 52*a) in the form q*a**2 + b*a + j and give q. -195 Rearrange -28*u**2 - 21*u**4 - 1 + 2*u - 2*u**3 + 13*u**4 + 9*u**4 - 3*u + 3*u to the form a + l*u**4 + b*u + w*u**2 + c*u**3 and give a. -1 Rearrange 11*z + z + 2*z**2 - 10*z - 22*z**3 - 1 to the form p + t*z**2 + g*z**3 + f*z and give t. 2 Express 54*z + 38 - 92 + 54 as d*z + o and give d. 54 Express 5*y**3 - 10*y**4 + 0*y**4 + y**2 + 2167*y - 2168*y in the form n*y + p*y**2 + i*y**3 + a*y**4 + g and give p. 1 Rearrange k**2 + 2*k**3 - 4*k**2 - 196*k + 397*k - 199*k + 31 to c + v*k + p*
{ "pile_set_name": "DM Mathematics" }
). -sqrt(13)/24 Simplify ((sqrt(4235) - sqrt(4235)*3) + sqrt(4235) + sqrt(4235))/(sqrt(10)/sqrt(2)*-1). 0 Simplify ((-4 + ((sqrt(891) - ((sqrt(891)*3 + sqrt(891))*-2 + sqrt(891))) + sqrt(891) - sqrt(891)))*-2)**2 + -2 + 5. -2304*sqrt(11) + 228163 Simplify (sqrt(7) - ((sqrt(7) - sqrt(63))*5)**2 - sqrt(28)/sqrt(100)) + -6*(4 + sqrt(700)). -724 - 296*sqrt(7)/5 Simplify (sqrt(304) + sqrt(304)*2 + 2 - ((-3 + sqrt(304) + -2 - sqrt(304)) + sqrt(304)))**2 + 5 + 1. 112*sqrt(19) + 1271 Simplify ((-5*sqrt(66)/sqrt(2)*4)/((sqrt(270) - sqrt(30))/sqrt(10) - sqrt(3)*-2*2))**2. 1100/9 Simplify -4 + (-2 + 2 + sqrt(425) + -1)**2. -10*sqrt(17) + 422 Simplify 4*(2*2*sqrt(19)*6 + 4*(sqrt(2736) - (sqrt(2736) + 1*sqrt(2736) + sqrt(2736)) - sqrt(2736))). -480*sqrt(19) Simplify (-6*sqrt(209)*-1*2)/((sqrt(66)*1*5)/sqrt(6)). 12*sqrt(19)/5 Simplify (-1*(sqrt(441) - -2*sqrt(441)) + sqrt(441) + sqrt(441))/((1*sqrt(70)*-6 + sqrt(70))/sqrt(10))*1. 3*sqrt(7)/5 Simplify 3 + -5 + (-2*sqrt(2057))**2 + (sqrt(2057) - ((sqrt(2057) - (sqrt(2057) + -1)) + -1)) + -5 + 1. 11*sqrt(17) + 8222 Simplify 3 + -2 + -5*(2*(sqrt(931) + -2 + 4))**2. -18699 - 560*sqrt(19) Simplify (sqrt(5000) + 4 + 1*sqrt(5000) + sqrt(5000))*1. 4 + 150*sqrt(2) Simplify ((-3*(sqrt(2560)*3 - sqrt(2560)))/(6*1*sqrt(200)))**2. 64/5 Simplify ((sqrt(228) + -3*sqrt(228))*-2)/sqrt(12) - 2*-5*sqrt(19)*-1. -6*sqrt(19) Simplify -3 + (-1*sqrt(112) + sqrt(112))**2 + (sqrt(1008)*-1)**2 + -3 + 5. 1007 Simplify 2 + (4*(sqrt(1331)*-2*-5 + -3))**2. -10560*sqrt(11) + 2129746 Simplify 3 + (-2 + sqrt(153)*2)*4 + 4 + -5. -6 + 24*sqrt(17) Simplify ((sqrt(1216) - (5 + sqrt(1216) + -2)) + 3)**2*1 + -3. -3 Simplify (1*(1 + sqrt(80)*2 - sqrt(80) - sqrt(80)) + 4)**2 + 5. 30 Simplify -2 + sqrt(1375)/sqrt(5) + sqrt(11) + (sqrt(1100) - (sqrt(1100) + -2*sqrt(1100)*2)**2). -9902 + 16*sqrt(11) Simplify (((sqrt(85) + sqrt(85)*1 + sqrt(85))*5)/sqrt(5))**2*-6*-4*6. 550800 Simplify (6*-1*sqrt(52)*-6)/(sqrt(24)/(sqrt(12)/sqrt(2)*1 + sqrt(6))). 72*sqrt(13) Simplify ((sqrt(209) - (sqrt(209) - sqrt(209)*1))*-6 + (1*sqrt(209) + sqrt(209))*-5)/(6*(sqrt(396) - (sqrt(396)*1 + sqrt(396)))). 4*sqrt(19)/9 Simplify (sqrt(120)/(-1*sqrt(20)))/(sqrt(108) + -1*sqrt(108)*4 - sqrt(108)). sqrt(2)/24 Simplify (-2*(sqrt(13) - (sqrt(13) - sqrt(13)*2)) + ((-5*(sqrt(26)/sqrt(2) + sqrt(13)))**2 - sqrt(13)) - (-1 + sqrt(208) + 0 + sqrt(208)))*-2. -2602 + 26*sqrt(13) Simplify -1*-1*(-4 + sqrt(52) + (sqrt(4212) + 2 + sqrt(4212))**2). 146*sqrt(13) + 16848 Simplify (sqrt(7056)*4)/(1*(sqrt(567) + sqrt(7))). 24*sqrt(7)/5 Simplify (-1*sqrt(288)*-1 + (5*(sqrt(288) + 0) + sqrt(288) - sqrt(288)) - (-2 + sqrt(288))*1*-2)**2. -768*sqrt(2) + 18448 Simplify (-3 + ((sqrt(126)*-2)/sqrt(2) - -2*sqrt(70)/(sqrt(10)*1)))*2. -8*sqrt(7) - 6 Simplify 3*(sqrt(1053) + -2 + 3*sqrt(1053) + sqrt(1053) + -1 + 1)**2 + 5. -540*sqrt(13) + 78992 Simplify sqrt(153)*-3*-3 - (sqrt(34)/(sqrt(32) - sqrt(2)) + -3). 3 + 80*sqrt(17)/3 Simplify ((sqrt(684) - (-3*2*sqrt(684) + sqrt(684)))*4 + 5 + 3 + 1)**2. 2592*sqrt(19) + 394065 Simplify ((sqrt(40)*-2)/sqrt(2))/(-2*sqrt(90)/sqrt(9)). sqrt(2) Simplify sqrt(3) + -5 + sqrt(3)*2 + -1 - (-5 + (sqrt(432) - -1*sqrt(432)))**2. -1759 + 243*sqrt(3) Simplify ((2*sqrt(154))/sqrt(11)*6)/((sqrt(2) - -4*(sqrt(2)*1 - sqrt(2))) + 1*sqrt(2)*-3). -6*sqrt(7) Simplify (-6*sqrt(133)*-3)/(sqrt(77)/(sqrt(11) + sqrt(44)/sqrt(4))). 36*sqrt(19) Simplify (3*(-4 + 1 + sqrt(162)) - ((sqrt(162) + -1 + 2)**2 - (3 + sqrt(162) + (sqrt(162) - (0 + sqrt(162))**2 - sqrt(162)))))*-3. -54*sqrt(2) + 993 Simplify (-3*sqrt(216)*4)/(sqrt(12) + sqrt(144)/(sqrt(12) - (sqrt(12) - sqrt(300)))). -30*sqrt(2) Simplify (3*sqrt(1715) - sqrt(35))/sqrt(5) - (2 + sqrt(567) + -3 - sqrt(567))**2. -1 + 20*sqrt(7) Simplify (-4 + (sqrt(8) - -4*sqrt(8)*-2) - (sqrt(80)/(sqrt(20)/sqrt(2)) + sqrt(800) + 0))**2. 288*sqrt(2) + 2608 Simplify (-3*1*sqrt(66) + sqrt(66) + 3*-1*sqrt(66))/(sqrt(48)/(sqrt(1728)/sqrt(6))). -30*sqrt(11) Simplify (2 + -1 + sqrt(175) + sqrt(175) + 4 + (sqrt(175) - sqrt(175)*-2 - sqrt(175) - sqrt(175)))**2 + 3. 150*sqrt(7) + 1603 Simplify (sqrt(100)/(sqrt(5)*-2) + sqrt(20) + sqrt(20) + (3*sqrt(40)/sqrt(2) - sqrt(20)))/((sqrt(32) + -1*sqrt(4608))/sqrt(8)) + 1. -7*sqrt(5)/22 + 1 Simplify (sqrt(34)/sqrt(2)*-2 - (sqrt(17) + sqrt(34)/sqrt(2) + sqrt(17) + -2)**2) + sqrt(2448)*5 + -3. -160 + 70*sqrt(17) Simplify 5*(-5 + (2*sqrt(121)*1)/((sqrt(88)*-2 - sqrt(88) - sqrt(88))/sqrt(8))). -25 - 5*sqrt(11)/2 Simplify (-1 + sqrt(136)/(sqrt(8) + (sqrt(8) - sqrt(64)/(sqrt(40)/sqrt(5)))))*6. -6 + 6*sqrt(17) Simplify (-3*(5 + sqrt(15)/sqrt(5)) - (-2 + sqrt(3))*-6*-1)*-5. 15 + 45*sqrt(3) Simplify -3 + ((4 + (sqrt(832) - sqrt(832)*3) - sqrt(832)) + -5)**2. 48*sqrt(13) + 7486 Simplify (sqrt(22)/(-6*(sqrt(2) - ((sqrt(2)*4 - sqrt(2)) + sqrt(2)))) - (sqrt(176) + 0 + sqrt(11) - (-5 + (sqrt(11) - sqrt(55)/sqrt(5)) + sqrt(11))))**2*-3. -63551/108 - 355*sqrt(11)/3 Simplify (sqrt(330)/(sqrt(12)/(sqrt(2) - sqrt(32))))/(sqrt(40)/(-1*sqrt(392))). 21*sqrt(11) Simplify 3 + 5*((sqrt(98) + (-4*sqrt(98))**2 + sqrt(98) - sqrt(98)) + -1). 35*sqrt(2) + 7838 Simplify (-1 + -2*(sqrt(1300) - (-3*sqrt(1300) + sqrt(1300))) - ((sqrt(1300) - (2 + 4 + sqrt(1300))) + 5))**2. 46800 Simplify 4*(3 + (3 + (-1*sqrt(245) - sqrt(245)))**2 + -1). -336*sqrt(5) + 3964 Simplify (1*sqrt(76)*-2)**2 - -4*(sqrt(76) + 1)**2 - ((sqrt(76) - (sqrt(76) + (-1*sqrt(76)*5 - sqrt(76)) + sqrt(76) + sqrt(76))**2) + 1 + sqrt(76) + 2). 12*sqrt(19) + 1293 Simplify (-1 + (sqrt(72) + -1 - sqrt(72)) + (-1 + 0 + sqrt(72) - sqrt(72)) - ((-2*-2*sqrt(72) - sqrt(72)) + (1 + sqrt(72) - sqrt(72) - sqrt(72)) + 4))**2. 192*sqrt(2) + 352 Simplify (sqrt(121) - -2*sqrt(121)*5)/(sqrt(891) - (sqrt(891) + sqrt(891)*-2) - sqrt(891)) + -2 + sqrt(539) + sqrt(539) + (sqrt(539) - sqrt(539)*-2)**2 + -1. 137*sqrt(11)/9 + 4848 Simplify -6*((sqrt(450) - ((-2*sqrt(450) + -4)**2 - sqrt(450) - sqrt(450))) + 2 + (sqrt(162))**2 + -1). 1170*sqrt(2) + 9918 Simplify (0 + (4*(-3 + sqrt(176)) + sqrt(176))*-6)**2. -17280*sqrt(11) + 163584 Simplify (sqrt(90)/(sqrt(36)/sqrt(4)))/(sqrt(2) - sqrt(18)*5) - 1*((sqrt(5) + sqrt(20) + 3)**2 + sqrt(5)*1 + 2). -56 - 267*sqrt(5)/14 Simplify ((sqrt(128) + 1)*1 - (4 + sqrt(2) + -3*sqrt(2) + 1))**2. -80*sqrt(2) + 216 Simplify -4 + (-6*((sqrt(832) - (sqrt(832) + 4 + sqrt(832))) + -1 + -3))**2. 4608*sqrt(13) + 32252 Simplify ((sqrt(135) + (4*sqrt(135)*-2 - sqrt(135)))/(sqrt(24)/(sqrt(8) + sqrt(72))) + 1)**2. -192*sqrt(5) + 46081 Simplify ((2*(3*sqrt(1452) - sqrt(1452)))/(sqrt(36)/((sqrt(441) - -2*sqrt(441)) + sqrt(441) - sqrt(441))))**2. 2561328 Simplify ((sqrt(2268) + -4*sqrt(2268))/sqrt(9) + (sqrt(343) + 0 - (-1 + sqrt(112) + sqrt(112) + sqrt(112) + sqrt(112))))**2*-1. -5104 + 54*sqrt(7) Simplify ((sqrt(5) + 1)*-5 + (sqrt(140)/sqrt(4))/sqrt(7) + 1*sqrt(320) + 0)**2. -40*sqrt(5) + 105 Simplify (-3*(sqrt(88) + 2*(sqrt(88)*1 - sqrt(88))))/(sqrt(20)/((sqrt(80)*2)/sqrt(8))). -12*sqrt(11) Simplify ((-1 + sqrt(605) + sqrt(5))**2 - sqrt(5)) + -3 - sqrt(10)/((sqrt(2)*2 - sqrt(2))*6). -151*sqrt(5)/6 + 718 Simplify (2*((sqrt(475) + 2*sqrt(475) + -1)*1 + 3))**2. 240*sqrt(19) + 17116 Simplify -3*(-2 + sqrt(22)/(sqrt(44)/sqrt(36)) + -1)**2. -81 + 54*sqrt(2) Simplify (-2 + -5 + (sqrt(539)*-1 + -4 + sqrt(539) + sqrt(539))*-6)**2. -1428*sqrt(11) + 19693 Simplify 4*(sqrt(112) + 0 + 2) - (sqrt(84)/(sqrt(12) - sqrt(192)) + 2*sqrt(7)*-1)**2. -271/9 + 16*sqrt(7) Simplify 2 + (-2 + (sqrt(242)*-3 - sqrt(242)) + sqrt(242) + sqrt(242) - 1*(-4 + sqrt(242)))**2. -132*sqrt(2) + 2184 Simplify (((sqrt(704) + 0 - sqrt(11)) + 3*(sqrt(11) + -1))**2 - 6*-1*(sqrt(44) - sqrt(11))) + 3. -54*sqrt(11) + 1112 Simplify ((4*sqrt(96))/sqrt(2))**2*-4 + -4. -3076 Simplify -2 + (sqrt(14) - sqrt(98)/(sqrt(14)/sqrt(2)))/((sqrt(56) - sqrt(1400))/sqrt(8)). -2 Simplify -4*(-4*(2*sqrt(275) + -2 + -5)*4)**2. -1176576 + 143360*sqrt(11) Simplify ((sqrt(1296) - 1*sqrt(1296))/(sqrt(729)/sqrt(3)))**2. 0 Simplify 3 + 3 + 0 + -4*(sqrt(171) + 1). -12*sqrt(19) + 2 Simplify (sqrt(325) + sqrt(325) + sqrt(325)*-2 + 1 + -4 + sqrt(325) + 0 + (-3*(sqrt(325) + -1) + sqrt(325) - -1*sqrt(325)*5))**2. 5200 Simplify -4*(-1*(sqrt(2) - sqrt(32)) - (sqrt(98) + 1 + sqrt(98) + sqrt(98))**2) + 2. 156*sqrt(2) + 3534 Simplify ((1*sqrt(21) - sqrt(21))/sqrt(7) + sqrt
{ "pile_set_name": "DM Mathematics" }
lacement from ettuteeee. Give prob of sequence te. 5/24 What is prob of sequence kg when two letters picked without replacement from kkkjkgkpgjkzjpjk? 7/120 Four letters picked without replacement from fffjjfffjj. What is prob of sequence jjjj? 1/210 Four letters picked without replacement from {e: 1, t: 1, o: 6, w: 4, d: 1, z: 2}. What is prob of sequence wedo? 1/1365 Calculate prob of sequence ktk when three letters picked without replacement from {k: 11, t: 3}. 55/364 Calculate prob of sequence ffyf when four letters picked without replacement from {y: 6, f: 7, c: 1}. 15/286 Four letters picked without replacement from ccycyycccyccccycycc. What is prob of sequence cyyy? 65/3876 What is prob of sequence rd when two letters picked without replacement from {r: 2, f: 2, h: 1, d: 14}? 14/171 Three letters picked without replacement from qfsfqfeeqqf. Give prob of sequence qqs. 2/165 What is prob of sequence nf when two letters picked without replacement from nkknfknn? 1/14 Calculate prob of sequence lit when three letters picked without replacement from {t: 5, s: 2, v: 8, i: 1, l: 3}. 5/1938 Three letters picked without replacement from jslbs. What is prob of sequence ljb? 1/60 Calculate prob of sequence jmm when three letters picked without replacement from jmjjmmjj. 5/56 What is prob of sequence nn when two letters picked without replacement from {n: 5, q: 1, z: 3, d: 1, m: 3}? 5/39 Four letters picked without replacement from hqqqheehheehqhhhqe. What is prob of sequence qeqq? 5/1224 Four letters picked without replacement from yxxovnxnvvnnxo. What is prob of sequence xony? 4/3003 Four letters picked without replacement from {l: 2, d: 2, q: 2, f: 4, j: 2}. Give prob of sequence jfdd. 2/1485 What is prob of sequence xjg when three letters picked without replacement from jrxxrgkxkygx? 1/165 What is prob of sequence rr when two letters picked without replacement from {u: 2, m: 3, s: 4, t: 1, r: 2}? 1/66 Two letters picked without replacement from naanjnjannjjnaaan. What is prob of sequence nj? 7/68 What is prob of sequence cm when two letters picked without replacement from {k: 2, m: 2, c: 7, h: 5, g: 4}? 7/190 Three letters picked without replacement from fdf. What is prob of sequence fdf? 1/3 Two letters picked without replacement from uiaiiliiuliuuul. Give prob of sequence li. 3/35 What is prob of sequence dqqq when four letters picked without replacement from {j: 1, e: 1, d: 1, y: 1, q: 4}? 1/70 Four letters picked without replacement from gvvgvgbvggg. What is prob of sequence vgvv? 1/55 What is prob of sequence xk when two letters picked without replacement from kkkkxkkxxk? 7/30 Calculate prob of sequence gn when two letters picked without replacement from {n: 1, b: 2, g: 2}. 1/10 Three letters picked without replacement from {l: 4, v: 2, c: 6}. What is prob of sequence ccl? 1/11 Four letters picked without replacement from soodnossscsns. What is prob of sequence nond? 1/2860 Calculate prob of sequence dzbd when four letters picked without replacement from llllzvldzdbzlvlvbz. 1/4590 Three letters picked without replacement from tyty. Give prob of sequence tty. 1/6 What is prob of sequence iu when two letters picked without replacement from {u: 3, i: 1}? 1/4 Calculate prob of sequence bfy when three letters picked without replacement from {v: 3, b: 7, y: 8, f: 2}. 14/855 What is prob of sequence ga when two letters picked without replacement from {a: 1, i: 1, b: 2, k: 3, h: 3, g: 1}? 1/110 Three letters picked without replacement from umuuumumumummuuummmm. What is prob of sequence uum? 5/38 Two letters picked without replacement from aaaatapaatapa. Give prob of sequence tt. 1/78 Calculate prob of sequence iimi when four letters picked without replacement from {m: 2, i: 4}. 2/15 Calculate prob of sequence pc when two letters picked without replacement from clxps. 1/20 Two letters picked without replacement from vrryvrvrrrrvv. Give prob of sequence yr. 7/156 Two letters picked without replacement from ykekqkykyxekezyykkqk. Give prob of sequence yz. 1/76 Calculate prob of sequence xci when three letters picked without replacement from ccicciicxcciciccccv. 10/969 Four letters picked without replacement from vlvvaavjsaaasaljjs. Give prob of sequence svjj. 1/1020 Calculate prob of sequence jk when two letters picked without replacement from {l: 2, j: 7, k: 3, v: 5}. 21/272 What is prob of sequence dxdx when four letters picked without replacement from {x: 11, d: 5}? 55/1092 Four letters picked without replacement from mbmbmebmmb. Give prob of sequence bmeb. 1/84 Calculate prob of sequence ll when two letters picked without replacement from lllllllglllll. 11/13 Three letters picked without replacement from {f: 4, m: 1, u: 6, v: 2}. What is prob of sequence vmu? 1/143 What is prob of sequence dr when two letters picked without replacement from drwdwlpwprlrpddzld? 5/102 Two letters picked without replacement from okdd. Give prob of sequence dk. 1/6 Three letters picked without replacement from aawawaaa. Give prob of sequence aaa. 5/14 Two letters picked without replacement from {k: 4, j: 9, q: 1}. Give prob of sequence kj. 18/91 What is prob of sequence rjr when three letters picked without replacement from jjrwrwwbrrrrjwjbrw? 7/204 Two letters picked without replacement from qqzqqqkzkkk. Give prob of sequence kq. 2/11 Three letters picked without replacement from kqqqqqqhbqkqb. What is prob of sequence qhb? 4/429 Three letters picked without replacement from {x: 9, f: 5, s: 2}. Give prob of sequence fxs. 3/112 Calculate prob of sequence zdd when three letters picked without replacement from mezwzwdmzdewedzm. 1/140 Four letters picked without replacement from {v: 7, q: 2, h: 2, s: 1, u: 8}. What is prob of sequence svvv? 7/3876 Calculate prob of sequence ee when two letters picked without replacement from ggessseeeeee. 7/22 Two letters picked without replacement from {x: 4, e: 2, z: 7}. What is prob of sequence xx? 1/13 Three letters picked without replacement from fiizyizzaaiiiiizzi. Give prob of sequence afz. 5/2448 Two letters picked without replacement from {u: 2, q: 6}. What is prob of sequence uu? 1/28 Two letters picked without replacement from ghhhhodxxd. What is prob of sequence xx? 1/45 Calculate prob of sequence jx when two letters picked without replacement from mxj. 1/6 Calculate prob of sequence vb when two letters picked without replacement from vvvvvvvvbbb. 12/55 Three letters picked without replacement from kzzuzzuzuzzzzuzuuuz. What is prob of sequence uuu? 35/969 Two letters picked without replacement from iitnntin. What is prob of sequence tt? 1/28 Three letters picked without replacement from jhbrffdbfbd. Give prob of sequence hrf. 1/330 Four letters picked without replacement from edqeediewedqeendd. What is prob of sequence nedq? 1/816 Calculate prob of sequence bliv when four letters picked without replacement from belevibit. 1/756 Two letters picked without replacement from povoojopjoojooiiopj. What is prob of sequence oj? 2/19 Calculate prob of sequence yay when three letters picked without replacement from jyjaajjjjayjjjj. 1/455 Calculate prob of sequence nvnv when four letters picked without replacement from nvvvnnvnnv. 5/63 Three letters picked without replacement from {k: 3, u: 4, w: 2, p: 1}. What is prob of sequence wpu? 1/90 Two letters picked without replacement from gggggggo. What is prob of sequence gg? 3/4 What is prob of sequence jjjt when four letters picked without replacement from {j: 4, t: 2}? 2/15 Four letters picked without replacement from {x: 11, a: 6, c: 2}. Give prob of sequence xxax. 165/2584 What is prob of sequence tg when two letters picked without replacement from {x: 1, s: 9, t: 1, g: 5}? 1/48 Two letters picked without replacement from {i: 6, o: 2, t: 3, x: 4, l: 1}. Give prob of sequence tx. 1/20 Three letters picked without replacement from uuxxxprrupuupupuurux. Give prob of sequence uru. 3/95 What is prob of sequence ur when two letters picked without replacement from ururuuurrr? 5/18 What is prob of sequence tu when two letters picked without replacement from uwtt? 1/6 What is prob of sequence ss when two letters picked without replacement from uuuuesuuuseuu? 1/78 What is prob of sequence da
{ "pile_set_name": "DM Mathematics" }
)/(sqrt(21)/((sqrt(3) + sqrt(12))*1)*1). -150*sqrt(3) Simplify (-2*(sqrt(156) + -6*(sqrt(156) + sqrt(156)*1))*-3)/(2*(2*sqrt(12)*-3 + 4*(sqrt(12) + sqrt(12)*-1))). 11*sqrt(13)/2 Simplify 1 + (sqrt(931)*4*3 - (-3 + sqrt(931) + -3))*-5. -385*sqrt(19) - 29 Simplify -4*5*(-1 + -4 + sqrt(114)/sqrt(294) + sqrt(171)/(sqrt(27)/sqrt(3)))**2. -48820/49 + 1600*sqrt(19)/7 Simplify 2 + ((sqrt(30) - (sqrt(120)*3 - sqrt(120) - sqrt(120)))/sqrt(3))/(sqrt(16)/(sqrt(392)*-5)) + 5. 7 + 35*sqrt(5) Simplify (3*(6*1*sqrt(170) + 5*(sqrt(170)*1 + sqrt(170))))/(-3*4*sqrt(40)*5). -2*sqrt(17)/5 Simplify 5*((3*sqrt(960) + 4*-1*sqrt(60))*-6)/((2*sqrt(900))/(sqrt(75) + sqrt(75)*-1 + sqrt(75))). -120*sqrt(5) Simplify (((sqrt(17) + 0)*2 + (sqrt(153)*2)/sqrt(9) + -5 + ((sqrt(17) + 0)*-4 - 5*(sqrt(17) + sqrt(34)/sqrt(2))) + 5)*3)**2. 15300 Simplify ((sqrt(270) + sqrt(30))*-2 - (sqrt(330)*-4 + sqrt(330))/sqrt(11))/((sqrt(160) + sqrt(160)*3 + sqrt(160) + sqrt(160))*-1*-6). -5*sqrt(3)/144 Simplify -3*(-5 + ((2 + sqrt(704) + 5 - (-5*sqrt(704) - sqrt(704))*5) + 4)**2)*-3. 49104*sqrt(11) + 6089940 Simplify (sqrt(98) + ((sqrt(98) + 0 - sqrt(98))*4)**2 - (sqrt(98) + 2)*-6) + ((sqrt(32) + 2*sqrt(512))**2 - (sqrt(32) - (-2 + (sqrt(32) - -1*sqrt(32))))). 53*sqrt(2) + 2602 Simplify ((-2*(sqrt(70) + -2*sqrt(70)))/(-4*sqrt(50) + sqrt(2)))/((sqrt(77) - (sqrt(77) - -3*sqrt(77)))/sqrt(11) + sqrt(7) - -4*sqrt(567)). -sqrt(5)/323 Simplify 4*(-2 + 2 + ((sqrt(6) - sqrt(18)/sqrt(3))*-3)/(sqrt(21)/sqrt(7)*2)). 0 Simplify 4*(-1 + sqrt(1377) + (2*sqrt(1377) - sqrt(1377)) + -1*sqrt(1377)*-5 - (-2 + -5 + -3*sqrt(1377)*-2))**2. 432*sqrt(17) + 5652 Simplify ((-2 + (sqrt(1584) - (2 + sqrt(1584))))*-3)**2 + ((sqrt(3993)*1)/(-1*sqrt(12)))**2. 1907/4 Simplify (((sqrt(1053) - (sqrt(1053) - sqrt(1053)*3*1)) + sqrt(1053))*1 + 5)**2 - (-2 + -3*(-4 + sqrt(1053))*-3)**2. -69864 + 6516*sqrt(13) Simplify -5*(2*(4*(sqrt(18) + 0) + sqrt(32)*-6*-2)*-6*-4)**2. -82944000 Simplify ((3*2*sqrt(81))/sqrt(3))/(-2*sqrt(441)*3)*4. -4*sqrt(3)/7 Simplify (3*sqrt(112)*1)**2 + (((sqrt(70) - sqrt(70)*1)*-2)/sqrt(10))**2 + (-3*sqrt(252) - (-1*sqrt(63)*-2)**2) + 0. -18*sqrt(7) + 756 Simplify 4*(((sqrt(88) - (sqrt(88) + sqrt(88)*-2 - sqrt(88)))*6 - sqrt(88)*-2*6)*3)/(((sqrt(88)*-2 + sqrt(88) + sqrt(88))*2 - sqrt(88))/sqrt(11)*-6). 60*sqrt(11) Simplify 4 + (sqrt(1331) + sqrt(1331) + (sqrt(1331) + 0)*-6)**2 + (sqrt(792) + sqrt(792)*2 + sqrt(22))/(sqrt(2) - (sqrt(2) - (sqrt(40)/sqrt(2))/sqrt(10))). 19*sqrt(11) + 21300 Simplify -4 + (-6*(sqrt(245) - -1*sqrt(245))*6 + ((sqrt(245) - (-1 + sqrt(245) + 1))*-3)**2)*-2. -4 + 1008*sqrt(5) Simplify 3*(-1 + (sqrt(19) - sqrt(57)/(sqrt(3)*-1 - sqrt(3)) - sqrt(171)/(sqrt(27)/sqrt(3)) - (-1*1*sqrt(684) - sqrt(684))**2) + -1). -8214 + 3*sqrt(19)/2 Simplify ((sqrt(936)*-5 + sqrt(26))/(-6*-2*sqrt(2))*-1*-3)**2. 10933/16 Simplify ((-4*(sqrt(171) + sqrt(171)*1))/(sqrt(9) - (sqrt(900) - (-2*sqrt(900) + sqrt(900)))) - (-1 + sqrt(76) - (sqrt(304) + sqrt(304)*-3 + sqrt(19))))**2. -326*sqrt(19)/19 + 26588/19 Simplify 5 + 4 + (sqrt(2448)*2 + 3)**2*-6 + (((sqrt(2448) + -3*sqrt(2448))*-6 - sqrt(2448))**2 - ((sqrt(2448) + 4 + sqrt(2448)*-1)**2 - sqrt(2448))). -852*sqrt(17) + 237395 Simplify (4*-6*((1*sqrt(144)*1 + sqrt(144)*1*-6)/(sqrt(30)/(sqrt(10) + 1*sqrt(10)*5)) + -2))**2. 276480*sqrt(3) + 24885504 Simplify (((sqrt(187) - (sqrt(187) - -6*sqrt(187)))*-2 - sqrt(187)*3*-4)/(-5*sqrt(704)*5*-4))**2. 153/10000 Simplify (sqrt(1900) + 0 + sqrt(1900) + 3 + 2 + -2 + (-3 + sqrt(2736)*1 + sqrt(2736) - sqrt(2736)))**2. 19456 Simplify (1*(4*-1*sqrt(187) - (sqrt(187)*-2 + sqrt(187))*-6))/(5*-2*sqrt(44) - (-1*sqrt(4400) - sqrt(4400))). -sqrt(17)/2 Simplify (sqrt(1331)*3 + 4 + 4)**2 + (sqrt(33)/((sqrt(12) - sqrt(3)) + sqrt(3)))**2 + sqrt(11) + 0 + -1. 529*sqrt(11) + 48179/4 Simplify -2 + -3*(2 + sqrt(720) + sqrt(720) + sqrt(720)*-4)**2 - ((sqrt(720) + 5*(sqrt(720) - (sqrt(720) + -4)))**2 - (-1*(2 + sqrt(720)) - sqrt(720))). -9776 - 216*sqrt(5) Simplify ((-4*3*sqrt(76) - sqrt(76)) + sqrt(76) + (sqrt(76) - sqrt(76)*-2)*-3)/((sqrt(5760)*-2 - sqrt(5760))/sqrt(10)*-6). -7*sqrt(19)/72 Simplify sqrt(11)*3 + 3 + sqrt(11) + (sqrt(66)/sqrt(6)*-5)**2 + 6*(1*sqrt(132)*-1 - sqrt(132))/sqrt(12) + -5. -8*sqrt(11) + 273 Simplify 3 + sqrt(325)*2 + (-2 + 0 + sqrt(117))**2 - ((0 + 0 + sqrt(117))**2 + -5 + 5). -2*sqrt(13) + 7 Simplify (5*(-5*(sqrt(5) + 1) + 4*sqrt(20)/sqrt(4)) + 0)*6 + 3. -147 - 30*sqrt(5) Simplify ((sqrt(121)*-4*1 - sqrt(121)) + 3*(sqrt(121) - 2*sqrt(121)))/((-1*sqrt(539) + sqrt(539))*5 + -4*(sqrt(539)*-2 - sqrt(539))). -2*sqrt(11)/21 Simplify (sqrt(1331)*1*5 - (1*sqrt(1331) + 4)) + (2*sqrt(110)*6)/(sqrt(50)/sqrt(5)*1). -4 + 56*sqrt(11) Simplify ((6*(sqrt(104)*2 + sqrt(104)))/sqrt(8) + -5 + (-5*sqrt(156)*2 + sqrt(156))/(2*sqrt(12)*-6))*5. -25 + 375*sqrt(13)/4 Simplify (-4 + (sqrt(20) + -1 - sqrt(20))*-6 + 2*sqrt(320) - ((-2*sqrt(240))/sqrt(12) - (sqrt(20) - (-4 + sqrt(120)/sqrt(6) + sqrt(20)))))**2. 216*sqrt(5) + 1656 Simplify (-4*1*((sqrt(156) + 1*sqrt(156))*-3 + 3*1*sqrt(156))/(sqrt(300) - -6*sqrt(300)*4))**2. 1872/15625 Simplify ((sqrt(441)*-3*5 - sqrt(441) - sqrt(441)) + sqrt(441))/((sqrt(132)/sqrt(11))/sqrt(4)*4). -28*sqrt(3) Simplify ((3*(sqrt(44) + sqrt(3564))*-3)/(-6*sqrt(4)*-5*-1))**2. 99 Simplify -2 + (4*(5*(sqrt(252) + 1 + sqrt(252))*5 + (sqrt(252) + -1)*-3 + -1))**2. 243648*sqrt(7) + 8918350 Simplify 2*(-6*sqrt(95)/sqrt(5)*-3 + sqrt(2736) + sqrt(2736)*4 + -1 + sqrt(2736))**2*-6. -1846812 + 2160*sqrt(19) Simplify 5*((sqrt(1900)*3*6 + -4)*1*-6 + 0). -5400*sqrt(19) + 120 Simplify 1 + (4*(sqrt(2112) + 6*-2*sqrt(2112)))/((sqrt(4800) - (sqrt(4800) - (-2*sqrt(4800) + sqrt(4800))))*-2). -22*sqrt(11)/5 + 1 Simplify (6*(1 + -3 + sqrt(2057) + sqrt(17) + 1*sqrt(1088))*-6 + 1)**2. -105120*sqrt(17) + 8818129 Simplify (sqrt(270)*3)/sqrt(6)*6 + -5 + -2*(sqrt(375)/sqrt(3) + sqrt(5)). -5 + 42*sqrt(5) Simplify 4*(sqrt(66) - 1*sqrt(66)*6 - 2*sqrt(66)*1)/((sqrt(864)*1 + sqrt(864))*6 - sqrt(864) - sqrt(864)). -7*sqrt(11)/30 Simplify (-6*((sqrt(351) - -4*sqrt(351)*2) + sqrt(351))/sqrt(9))/(((1*sqrt(324))/sqrt(12))/((2*sqrt(72))/sqrt(8) + sqrt(9) - sqrt(9))). -120*sqrt(13) Simplify 2*((-2*sqrt(1872))**2 + sqrt(1872))*6 + ((sqrt(1872) - -1*sqrt(1872)) + 3 - 5*(sqrt(1872) - (sqrt(1872) + (sqrt(1872) + 0 - sqrt(1872))))) + 4. 168*sqrt(13) + 89863 Simplify (((sqrt(108)*2*2)/(-3*sqrt(48)/sqrt(4)))/(-6*(sqrt(243) - 4*1*sqrt(243))))**2. 4/19683 Simplify (5*((-1*sqrt(1331) + -1 - 2*sqrt(1331)*2) + sqrt(1331)*-1 + -4 + sqrt(1331) + sqrt(1331)*-1*-3))**2. 5500*sqrt(11) + 133725 Simplify 3 + 4*-2*(4 + (3 + sqrt(13) + sqrt(208) - sqrt(78)/(sqrt(24)/sqrt(4))) + 3)**2. -2461 - 640*sqrt(13) Simplify (3 + -2 + sqrt(720) + (sqrt(720) - sqrt(720)*1*-1))*3 - (1 + -6*sqrt(720)*2 + (-4*(1 + sqrt(720)))**2). -11534 - 132*sqrt(5) Simplify (6*1*sqrt(72) + 4 + sqrt(32) + -4 + (4*sqrt(8) + sqrt(200) + -4*sqrt(200) + sqrt(200))*-6)**2. 25088 Simplify 1 + (-2*(sqrt(160)/(sqrt(64)/(sqrt(8) + (sqrt(8) - sqrt(24)/sqrt(3)))) + 0))**2 + 1. 82 Simplify (-4*(0 + (-4*sqrt(304)*-2 - ((sqrt(304) - sqrt(304)*-1) + 1) - (-6*sqrt(304)*1 + 2*sqrt(304) + 1)) + 0))**2. -2560*sqrt(19) + 486464 Simplify (1*-3*4*(sqrt(228) - -1*sqrt(228) - sqrt(228)))/(((sqrt(324)*1)/sqrt(9))/(1*sqrt(27))). -36*sqrt(19) Simplify ((sqrt(240) - -6*(sqrt(240)*1 + sqrt(240)))/(sqrt(576) - -1*sqrt(576) - sqrt(4)))/(sqrt(1728)*3 - (sqrt(24)*-4)/sqrt(2)). 13*sqrt(5)/920 Simplify ((sqrt(325) + (1 + 2*sqrt(325) - sqrt(325) - sqrt(325)) + 1*sqrt(325) + sqrt(325) + 5)*4 + (6*(0 + sqrt(325)) - sqrt(325)) + -6*(0 + sqrt(325)))**2. 2640*sqrt(13) + 39901 Simplify -1 + ((1 + -3 + sqrt(200)*-1 + 5 + (sqrt(200) - (sqrt(200) + sqrt(200) + sqrt(200) + 3)))*-4 + -2)**2. -480*sqrt(2) + 28803 Simplify -4*(6*(sqrt(1944) - -4*sqrt(1944) - sqrt(1944)))/(-2*sqrt(300)*4). 108*sqrt(2)/5 Simplify (-1 + (-5*(0 + sqrt(468)) - (-5 + sqrt(468) + 1*sqrt(468) + sqrt(468))) + 0 + 3*sqrt(468) + sqrt(468) + 0 + -5 + -4)**2. 240*sqrt(13) + 7513 Simplify ((-4*sqrt(98)*-6 + -4)*5 + -5 + -3 + -5)*4. -132 + 3360*sqrt(2) Simplify (0 + sqrt(567) + 5 + sqrt(567) + 1 + -4 + (sqrt(567) - (sqrt(567) + sqrt(567)*1 + -2) - (sqrt(567) - (sqrt(567)*2 + -1 - sqrt(567)))))**2*-4. -2304 - 216*sqrt(7) Simplify (sqrt(102)*4*-1 + -1*sqrt(102)*5)/(-1*sqrt(216)*
{ "pile_set_name": "DM Mathematics" }
8 = 0. Suppose -4*h = q - 6, -q - h = -c*q + 16. Calculate the greatest common divisor of 35 and q. 7 Suppose 9*f = -2*f - 1584. Let j = 104 - f. Calculate the highest common divisor of 8 and j. 8 Let r = 6 + 4. Let x(a) = -a**2 + 39*a + 1179. Let g be x(-20). Let n be ((-5)/25)/(g/r). What is the highest common divisor of 10 and n? 2 Let w(v) = 17*v**2 + v. Let i be w(-2). Let o(r) = r**2 - 14*r + 158. Let a be o(8). What is the greatest common factor of a and i? 22 Let a = 357 + -501. Let z = a - -190. What is the highest common factor of z and 69? 23 Let n be (-66462)/(-33) - ((4 - 4) + 9). Calculate the highest common divisor of 5 and n. 5 Let u(m) = -2*m**2 - 118*m - 371. Let c be u(-55). Let t(g) = 13*g**3 - 4*g**2 + g + 2. Let a be t(2). Calculate the greatest common factor of a and c. 23 Suppose n = -7*n + 80. Suppose 5*a = 135 + 25. Suppose 13*w = 5*w + a. Calculate the greatest common factor of w and n. 2 Suppose 8*u - 1457 - 1311 = 0. Suppose 2*z + 208 = u. Calculate the highest common divisor of 299 and z. 23 Let b(d) = 20*d - 9. Let t be b(-5). Let s = 144 + t. Suppose 0 = -0*o + o - 5. What is the highest common factor of o and s? 5 Suppose 0 = -15*p - 2*m + 8171, 7*p - 2*m = 9*p - 1086. Calculate the highest common divisor of 1744 and p. 109 Let w = 289 - 309. Let i be 108/w + 5 + (-37)/(-5). What is the greatest common divisor of 42 and i? 7 Let n = 1353 + 415. What is the greatest common factor of 544 and n? 136 Let s = -96 + 166. Suppose -2*y = -0 - 4, -2*n + 72 = y. Calculate the greatest common factor of s and n. 35 Let a(i) = -165*i - 828. Let o be a(-7). Calculate the greatest common factor of 8393 and o. 109 Let b = -2421 - -2527. Calculate the greatest common divisor of b and 4982. 106 Suppose 6*q + 26 = 4*q. Let d(k) = k**2 + 14*k + 17. Let i be d(q). Suppose i*s - 3*s = 6. What is the greatest common factor of s and 18? 6 Let v = 35 + -21. Suppose 17*g - 237 = -662. Let m(w) = -w**2 - 27*w - 43. Let u be m(g). Calculate the greatest common divisor of v and u. 7 Suppose -5*h + 1364 = f, 15*f - 10*f = 5*h - 1340. Let s be 3/(422/32 + -13). Calculate the highest common divisor of h and s. 16 Let s = -38 + 39. Let i be ((10 - 7) + (s - 4))/2. Suppose 5*t = y - i*y - 143, -4*y = 3*t - 503. What is the greatest common factor of 16 and y? 16 Let s be 14/6 + (-26)/78. Let p = 422 - 408. What is the highest common divisor of s and p? 2 Let j = -338 - -553. Let w(l) = -l**2 - l + 7. Let b be w(-9). Let q = 108 + b. What is the highest common divisor of j and q? 43 Suppose -2 = -3*b + 7. Let u be 1*(b + -6)*-4. Suppose -t - 46 = -3*o - 3*t, 23 = 4*o - 5*t. What is the greatest common divisor of u and o? 12 Let j = -235 + 287. Suppose -j*i + 53*i + s = 7, -5*i - 10 = -4*s. Let k be (-3)/(-1)*(-10)/(-6). Calculate the greatest common divisor of k and i. 1 Let s be 154/21 - 5/15. Let f be (-2)/1 + s/(7/90). What is the highest common divisor of 44 and f? 44 Suppose 15994 + 76166 = 72*z. What is the highest common factor of 40 and z? 40 Let o be 634 - (81/(-9) + 22). Calculate the highest common divisor of 253 and o. 23 Let i be (-18)/(-21) - 2856600/(-1260). Calculate the highest common factor of 308 and i. 28 Let l = -882 - -1270. Let j = 580 - l. Calculate the greatest common factor of j and 24. 24 Let z = 491 + -386. Let o = z + 63. What is the greatest common factor of 105 and o? 21 Let h(o) = o**3 + 5*o**2 + 19*o + 33. Let u be h(5). What is the highest common divisor of 119 and u? 7 Suppose -7*a = -3*a - 384. Let j = a - 48. Let s be 2/5 - (-56)/10. Calculate the greatest common divisor of s and j. 6 Let y(z) = -2357*z - 10204. Let v be y(-5). Calculate the greatest common factor of 102 and v. 51 Suppose 2940 = -2*b + 142*b. Calculate the highest common factor of 483 and b. 21 Let q = 3767 - 1085. Calculate the highest common factor of q and 149. 149 Suppose -5*l - 4*t = -1146, 5*t + 4 = -26. What is the highest common factor of 1248 and l? 78 Suppose 5*l + 2*c - 74 = 0, 0 = 5*c - 5 - 5. Let v = -45048 + 45111. Calculate the greatest common factor of v and l. 7 Let h = 1 + 3. Suppose 0*m - o - 12 = 4*m, h*o - 15 = 5*m. Let y be ((-5)/m)/((-1)/(-57)). Calculate the greatest common factor of y and 19. 19 Suppose 33012*s = 33037*s - 187500. What is the highest common divisor of 36 and s? 12 Let m = 46 - 24. Suppose -2*k = -m - 42. Let o be (-15)/(5 - 2) + 20/((-440)/(-814)). Calculate the greatest common factor of o and k. 32 Let f be (-4 + 2)*(-1863)/18. Let n be (268/6)/((-16)/24). Let c = n + f. What is the highest common factor of c and 20? 20 Suppose 0 = -7*y + 6*y + 10. Let b(a) = -a**3 + 15*a**2 - 6*a - 33. Let i be b(y). What is the highest common factor of 37 and i? 37 Let y be ((-40)/(-8) - 7) + 1. Let m(b) = 55*b**2 - b - 2. Let d be m(y). What is the highest common divisor of d and 30? 6 Let f(g) = -4*g**3 - 27*g**2 + 21*g - 1. Let r be f(-9). Suppose -15*y = -11*y - 196. Calculate the greatest common factor of y and r. 49 Suppose -88*r + 15*r = 56*r - 3354. What is the highest common divisor of r and 19357? 13 Suppose 7 - 147 = -2*t. Let j be -2*(-42)/(-12) - (0 - 5). Let k be 2 + (-153)/(-6) + j/(-4). What is the highest common divisor of t and k? 14 Let i be (-24)/2*1/(-1). Suppose 0 = -3*r + 303 + 93. Let z = r + -102. What is the greatest common factor of z and i? 6 Suppose 15*r - 11*r = -3*g + 243, 0 = -3*r - 3*g + 183. Let v = r + -39. What is the greatest common divisor of 147 and v? 21 Suppose w = -3*l + 390, -1400*w = -1404*w + 24. What is the highest common factor of 16832 and l? 64 Let x be 2/12 + (-466)/(-12). Let g be (-1)/3 - 319/33. Let u be ((-4)/g)/(58/725) + 8. Calculate the greatest common divisor of x and u. 13 Suppose 2*y = -10, y = -5*u + 1190 + 155. Calculate the greatest common divisor of 170 and u. 10 Suppose -60 = -10*x - 60. Suppose x = 2*r + 447 - 1371. Calculate the greatest common factor of r and 126. 42 Suppose 5*q - 201*q = -45472. Calculate the greatest common factor of 2291 and q. 29 Let c = 165 + -107. Suppose c = 6*f + 4. Calculate the highest common factor of f and 657. 9 Suppose -c + 72 = 4*l, -4*l - 136 = -14*c + 11*c. Let f be (-38 + -1)*(6 + -7). Calculate the highest common factor of c and f. 13 Suppose 3*t + 56 = 2*z, 18*z = 20*z - 2*t - 52. Let v(p) = -p**3 + p**2 + p + 22. Let a be v(0). What is the greatest common factor of a and z? 22 Let k(r) = 34*r - 4. Let s be k(-14). Let h = -335 - s. Calculate the greatest common divisor of h and 29. 29 Let n = -14 - -18. Suppose n*x = -0*i + 4*i + 916, i + 254 = -4*x. Let y = -73 - i. Calculate the greatest common factor of 23 and y. 23 Let s = -18345 - -18435. Calculate the highest common divisor of s and 4470. 30 Let p be 0/(-3) - (5 + -8). Let u = 101 + p. Let h = 10 + 3. Calculate the greatest common divisor of h and u. 13 Let y = 252 - 172. Let f(m) = 3*m + 14. Let v be f(6). Let k be (-12)/(2 + (-76)/v). Calculate the greatest common factor of k and y. 16 Let t = -112 - -91. Let p(g) = -4*g + 5*g + 46 + g. Let q be p(t). What is the greatest common divisor of 32 and q? 4 Suppose 3*t + t = -3*d - 396, -3*d - 399 = 5*t. Let v = 94 + d. Let u = v + 58. What is the highest common factor of u and 18? 6 Let y = 2 + -243. Let l = 259 + y. What is the highest common factor of 63 and l? 9 Let d be 2/2 - (0 - 3 - -6). Let c be -1 - 22/((-4)/d). Let s be 17 + (c/20)/(2/10). Calculate the greatest common factor of s and 154. 14 Suppose -u = -2*u + 3. Let n be -2 + (u - 20)*-2. Let z = -141 - -173. What is the greatest common factor of z and n? 32 Let x(j) = j**3 - 77*j**2 + 357*j + 236. Let o be x(72). Suppose y = 3*u - 2*u - 16, -4*u + y = -76. What is the highest common divisor of u and o? 20 Suppose 124*x - 3*b = 119*x + 1510, 4*x - 3*b = 1211. What is the greatest common factor of x and 52? 13 Suppose -55912 = -6*x - 2*v, 4*x + v - 14657 - 22619 = 0. Calculate the greatest common factor of x and 120. 40 Suppose 8*l = 3*l - 1750. Let j = l - -365. What is the highest common factor of 45 and j? 15 Let w be 2/(-1)*(-1 - 119219/58). Calculate the highest common divisor of 9 and w. 9 Suppose -77272 = -18*i + 7724. Calculate the highest common factor of i and 6. 6 Let i(n) = 8*n**2 + 36*n + 621. Let v be i(-12). What is the greatest
{ "pile_set_name": "DM Mathematics" }
. Solve 3*m - 1 + 10 = p for m. -3 Suppose m + 8 = 2*d, 0*m = -5*m + 20. Solve -2*q + d = 2 for q. 2 Suppose -6*d - 4*v = -3*d + 12, d + v = -3. Solve d*l + l = -3 for l. -3 Suppose 4*j + 6 = o, 0 = -2*o + 5*j - 2*j + 17. Solve -2*r = -0*r + o for r. -5 Let w be (-2)/3 + ((-420)/45 - -12). Solve w*y = 4 - 12 for y. -4 Let g be ((-6)/18*51)/(-1). Solve g = -8*p + 9 for p. -1 Suppose d - 24 = -5*t + 91, 4*t = 2*d + 92. Let c = t - 20. Solve 12 = -r - c*r for r. -3 Suppose 25 = 2*g + 3*a, 3*a - 15 = 6*a. Let t be (8/g)/(42/(-15) + 3). Solve -1 = k - t for k. 1 Let w = -4 - -12. Solve 4*q = -w - 12 for q. -5 Let y(i) = i - 1. Let s be 141/15 - 6/15. Let f be y(s). Let d be 2 + 7/((-28)/f). Solve -5*z = -d*z for z. 0 Let z be (-16)/(-2) - (-1 + -1). Suppose z = g + 4*g. Let b be (-377)/(-87) + 4/(-3). Solve b = -5*f - g for f. -1 Let f(t) = 2*t**2 + t - 1. Let o be f(-2). Suppose 0 = 2*m + 3*m + 450. Let l be (-2)/(-10) - m/50. Solve 3*k + o = -l*k for k. -1 Suppose -5*p = 2*c + 85, 8*p + 110 = 3*p + 3*c. Let u(q) = q + 22. Let j be u(p). Solve 18 - 6 = -j*r for r. -4 Let b(j) = j + 2. Let f be b(0). Suppose -5*u = -5*y - 20, -2*y - 5*u = -10*u + 20. Let k be y - -3*10/15. Solve f = k*v - 2 for v. 2 Let o = -591 + 601. Solve 3*t - o = -7 for t. 1 Suppose c = 3*c - 4*h - 24, 0 = 3*c + h - 1. Suppose c*q + 15 = 23. Solve 4 + 0 = q*o for o. 1 Suppose -2*r + 4 = l - 1, -3*l = r - 15. Let v(z) = -z**3 - z**2 - 2*z + 4. Let y be v(r). Solve 2*b - 6 + y = 0 for b. 1 Let k = 264 + -256. Solve -k*p + 4*p = -12 for p. 3 Let w be -1 + 14/2*-1. Let i be 11/(-2) - (-4)/w. Let n be ((-4)/(-6))/(i/(-9)). Solve -o = -2 - n for o. 3 Suppose -4*q = -22 - 90. Let k = q + -24. Solve -k*c = 2 - 14 for c. 3 Suppose 14 = 3*a + p + 3, -5*p = -10. Solve -a*l + 12 = 6 for l. 2 Let a(i) = i**3 - 19*i**2 - 6. Let t be a(19). Let n(f) = 5 + 8 + f + 0. Let g be n(t). Solve -5 - g = -3*j for j. 4 Suppose 4*c = r + 16, 9*c - 5*c = -2*r + 28. Solve -r*d - 5 = -5*d for d. 5 Suppose 34*j = 14*j + 120. Let u be (7 - j)*(-1 - -1*3). Solve 0*y + u*y - 10 = 0 for y. 5 Suppose 5*t + 255 = 5*d, -4*d - 21 + 5 = 0. Let m = -52 - t. Solve 2*a + m = -5 for a. -4 Let y(s) = -s**2 - 22*s - 10. Let w be y(-19). Let f = w + -46. Solve q - f - 3 = 0 for q. 4 Let n(j) = 25*j - 1090. Let u be n(45). Solve -u*i + 34*i + 1 = 0 for i. 1 Let g be 5*(-2)/2*-1. Let n(f) = 15*f**3 - f**2 - f + 5. Let p be n(2). Suppose -12 = 116*v - p*v. Solve -v = -3*h + g for h. 3 Suppose -4*q = q + 4*a - 4, -2*q - 3*a + 3 = 0. Solve 3*t + 48 - 57 = q for t. 3 Suppose 16 = -5*v + 56. Suppose 10 = v*c - 9*c. Let l = 14 + c. Solve -5*m + 3*m + l = 0 for m. 2 Suppose 3*d = -0 + 12. Suppose 3*s - d = 5. Solve 0 = s*u - 5*u + 4 for u. 2 Suppose 2*w + 7 = -3*v + 9, 4*v = 4*w - 4. Let q(a) = a**3 + 8*a**2 + 8*a + 7. Let p be q(-7). Solve v = -l - p*l - 1 for l. -1 Let n(i) = -2*i**3 + 11*i**2 + 4*i + 10. Let g(z) = 5*z**3 - 23*z**2 - 7*z - 20. Let f(q) = 3*g(q) + 7*n(q). Let v be f(-7). Solve v = r - 6*r for r. -2 Suppose 0*o - 40 = -5*o. Let i be ((-12)/8)/((-3)/(-8)). Let w = 7 + i. Solve w*y + o = y for y. -4 Let k be 572/104 - (-1)/(-2). Solve 10 = -5*r - k for r. -3 Let c(w) = w. Let p(f) = -f**3 - 3*f**2 + 2*f - 2. Suppose -4*z = z + 5. Let k(b) = z*p(b) - 2*c(b). Let r be k(-4). Solve 0 = -j - 0 + r for j. 2 Suppose -159 = 45*m - 564. Solve -7*q + m*q = 4 for q. 2 Let u = 168 + -257. Let y = u - -94. Let n = -4 - -9. Solve 10*j + n = y*j for j. -1 Let l(a) = a**2 - 7*a + 2. Let d be l(7). Let z(t) = -t + 2. Let s be z(d). Let p be 1/((-12)/45 + (-6)/(-10)). Solve -p*j = -s*j for j. 0 Suppose 8*k - 50 = -2. Suppose 3*s = k - 0. Solve 0 = -7*h + s*h + 5 for h. 1 Suppose 5*h + 18 = -3*l + 4*h, -l = 2*h + 1. Let d(n) = 10*n + 13. Let s(x) = -9*x - 12. Let i(c) = 6*d(c) + 7*s(c). Let b be i(l). Solve 5*y + b = -0 for y. -3 Let o be 0/(-4 + 48/8). Solve -n = 5 - o for n. -5 Suppose 19 = 4*a + 4*m - 13, -3*a + 3*m + 18 = 0. Let f(j) = j**2. Let q be f(-3). Let b = q - a. Solve -g + 6 = b*g for g. 2 Let h = 23 + -5. Let c be (h/5)/(4/20). Suppose -t = 2*f - 5, -3*t - t - 4 = 0. Solve -c + f = -5*r for r. 3 Let t be (2 - (3 + 0))*0. Suppose t*a - 5*a + 75 = 0. Let s be 6 + 4*(-8)/32. Solve 0 = s*r - 0*r - a for r. 3 Suppose 3*l + 4*r = 3, -9 = -54*l + 51*l - 2*r. Solve 7*o + l - 26 = 0 for o. 3 Suppose -g + 19 = 3*o + 4, 0 = -3*g. Solve 35*b - o = 30*b for b. 1 Suppose -32*b = -5*b - 297. Solve -21 = -b*u + 4*u for u. 3 Suppose 0 = -3*z - 3*h + 9, 0 = 2*z + 2*z + 3*h - 7. Let f be (-50)/(-18) - z/9. Suppose 65*c = 71*c - 18. Solve -c*o + f = -9 for o. 4 Suppose 4*r + 3*h = 3 + 6, 5*r + 2*h - 6 = 0. Solve 5 = c - r*c for c. 5 Suppose -d + 11 - 10 = 0. Let k be (-2 - -6) + -3 - (-2 - d). Solve h = -k*h for h. 0 Suppose -3*l + l + 7 = -x, l = 5. Suppose 3*o = -2*g - 2*g + 81, 2*g - 45 = x*o. Suppose 0*f + 4*s - g = -f, -s = 3*f - 74. Solve -5*h = -0*h - f for h. 5 Let x(u) = 3*u**2 - 5*u + 2. Let l = -22 + 24. Let r be x(l). Solve -q = -1 + r for q. -3 Let w be -3 - 5/(-3) - (-490)/21. Solve 3*p - 13 = -w for p. -3 Let c = 23 - 13. Solve 3*d - c*d = 0 for d. 0 Let o(d) = -d**2 + 15*d + 39. Let j be o(17). Solve -9*h + j*h - 16 = 0 for h. -4 Let v be -2 - -14 - ((-6)/(-1))/6. Solve -v = -8*a - 3 for a. 1 Let o be ((-2)/2)/(1/(1 - 3)). Suppose -5*u - 5*t = 0, 0*t = u - o*t - 9. Solve -2*j = -u - 7 for j. 5 Let m be (-2 + 4)*(-371)/(-106). Solve m*h - 17 = -3 for h. 2 Suppose -3*o - 2 = u, 7*u - o = 10*u - 10. Suppose z - 15 = -5*t, 2*t - u*z - 14 = 14. Solve t*n + 12 = 7*n for n. 4 Suppose -4*w + 3*w = j - 52, 2*j = w - 64. Let h = w - 48. Solve -3*s - 2 + h = 0 for s. 2 Let d be (-1 - -17)/(-2) - 0. Let j(y) = -y - 6. Let z be j(d). Solve -v - 6 = z*v for v. -2 Suppose 6*f - 64 = -46. Solve f*q - 5*q = 0 for q. 0 Let j(n) = -2*n - 3. Let u = 30 + -32. Let p be j(u). Solve h + 1 = -p for h. -2 Suppose -3*o + 10 + 5 = 0. Solve o*a + 21 = 46 for a. 5 Suppose 3*x + v = 265, 22 - 362 = -4*x + 2*v. Solve x - 57 = 6*f for f. 5 Let z(q) = -q**3 + 5*q**2 - 3*q + 2. Let v be z(4). Let g = 19 - 22. Let m be 6 + g + -4 + v. Solve 4*s - 5 = m*s for s. -5 Let k = -443 - -445. Solve -67 = k*t - 67 for t. 0 Let o(s) = -3*s**3 + 27*s**2 - 18*s - 44. Let m(c) = -2*c**3 + 18*c**2 - 12*c - 29. Let j(f) = 8*m(f) - 5*o(f). Let q be j(8). Solve -3*w + 7*w - q = 0 for w. 1 Suppose 0 = 6*j - 430 + 46. Suppose 0 = -11*p + 13 + j. Solve p*q - 9 = 10*q for q. -3 Let f be (-3)/(54/(-4)) + (-475)/(-171). Solve -a + f = -2*a for a. -3 Let v(o) = -o**2 - 4*o + 16. Let d be v(-3). Solve -2*k - d = -21 for k. 1 Let b = -61 - -64. Solve -1 = -b*s + 8 for s. 3 Let g(x) = x + 4. Let t be g(-1). Let j(o) = 2 - t - o + 2 - 2. Let w be j(-7). Solve 0*f - 3*f = w for f. -2 Let g be 126/72*(-8)/(-1). Let i(u) = -u + 17. Let p be i(g). Solve -5*n + p*n = -10 for n. 5 Suppose -2*j = -j + 2*j. Suppose -4*f - 4*i = -8, -2*i = -4*f + 2*f + 8. Suppose f*d - 1 = 8. Solve j = -d*o + 4*o - 3 for o. 3 Let k be 3*(-8)/(-30)*5. Let r = -58 + 30. Let a be 8/r - 158/(-14). Solve a = 3*d - k for d. 5 Let a = 468 + -459. Solve 26*b - a = 17*b for b. 1 Suppose -45 = -7*u - 10. Suppose -17 = -u*c + 8. Solve 5 = -c*m - 0 for m. -1 Let p be ((-24)/(-14))/((-4)/(-14)). Solve 0 = -19*a + p*a - 65 for a. -5 Suppose -25 = -5*t - 5*l - 0*l, l - 5 = -3*t. Solve t = 4*q - 3*q - 5 for q. 5 Suppose 0 = -5*o + 14 + 1. Suppose -3*j + 9 = -o. Solve -j*k + 7*k = -3 for k. -1 Suppose 2*i = i + 3. Suppose -3*q = -2*b - 26, -q - 3*b - 19 = -3*q. Let r = q - i. Solve r*j - 2 + 7 = 0 for j. -1 Let u(n) = n**2 + n - 3. Let i be u(3). Let p = i + -2. Solve 4*v - p = 5 for v. 3 Suppose -2*i + 3*z = -42, 5*z - z = -i + 21. Solve 17 - i = -x for x. 4 Suppose 23*x = 25*x - 6. Let g = -14 + 24. Solve -x*p = -p + g for p. -5 Let d = -10 - -75. Let w = -65 + d. Solve -r + 2 = -w for r. 2 Suppose 180*n - 88 = 158*n. Suppose 0*g = g + 1. Let m be (g - 1 - -2)*-1. Solve 4*r - n = -m*r for r. 1 Suppose -12 + 21 = c. Let g be (6/c + (-24)/9)*-1. Solve -g*z = -5*z for z. 0 Suppose 21 = 3*x - 3*i, -2*i + 4*i = -5*x + 7. Let o(c) = -3*c**3 - 35*c**2 - 18*c + 46. Let h be o(-11). Solve -x*j - 20 = h*j for j. -4 Let j = 252 - 246. Solve -j = -4*g - 18 for g. -3 Let h be (1/(-4))/((-5)/20). Let d be 350/84 - h/6. Solve d*a + 4
{ "pile_set_name": "DM Mathematics" }
is divided by o. 83 Let x = 108 + -174. Let n = x - -80. Calculate the remainder when 250 is divided by n. 12 Let r be 357/49 - (-2)/(-7). What is the remainder when 19 is divided by 17/((-68)/(-24)) + r? 6 Calculate the remainder when (-5)/((-15)/279)*(1 + -7)/(-6) is divided by 5. 3 Let l be (-84)/(-18)*(-6)/(-1). Suppose 0 = t - 4*r - 7, -3*t - t + l = 3*r. What is the remainder when 22 is divided by t? 1 Suppose 0 = 2*c - 22 - 32. Let s be ((-28)/30*-3)/((-7)/(-245)). Suppose -18 + s = 5*k. What is the remainder when c is divided by k? 11 Let t(h) = -h**2 - 15*h + 17. Let g be t(-15). Suppose 3*r + g - 62 = -3*n, -2*r + 4 = 0. Calculate the remainder when n is divided by 6. 1 Let x(z) = -138*z - 3442. What is the remainder when 1165 is divided by x(-25)? 5 Let c = 144 + -113. Suppose -34 = 14*l - 19*l - 4*w, 0 = -5*l - w + c. What is the remainder when 37 is divided by l? 1 Let c(t) = -11*t**3 - 22*t**2 - 8*t - 6. Let s(x) = 2*x**2 - 5*x + 3. Calculate the remainder when c(-2) is divided by s(3). 4 Suppose 523*w - 12182 = 266*w + 16088. Calculate the remainder when w is divided by (2 + 0)*46/4. 18 Suppose -31*b + 620 = 3*r - 32*b, 5*r - 3*b - 1028 = 0. What is the remainder when r is divided by 19? 18 Let j = 9384 + -8417. Calculate the remainder when j is divided by 224. 71 Let j(a) = -4*a + 47. Let i(o) = 19*o - 5. Suppose -15 - 9 = -12*w. Calculate the remainder when i(w) is divided by j(7). 14 Suppose 0 = -c - 3*o + 95, -c + 0*o + 115 = -2*o. Suppose d + 4*j + 23 = 0, 7 + 7 = -3*d - j. Calculate the remainder when c is divided by -10*d*3/9. 7 Suppose 7 = 3*o + 1. Suppose -j - 20 = -o*p, 0 = -4*p - 4*j + 3*j + 28. Suppose 2*s = p, 2*s + 37 = -0*f + 3*f. Calculate the remainder when 44 is divided by f. 14 Suppose 5*y - 2*y + 8 = 4*k, -4*k = -5*y. Let o = 92 + -98. What is the remainder when -8*(o/14)/((-76)/(-133)) is divided by y? 2 What is the remainder when 897 is divided by (-63)/105 - (-5 - (-42)/30)? 0 Suppose 0 = -2*s + 4*k - 2 + 38, -3*k + 43 = s. Calculate the remainder when 1896 is divided by s. 20 Let s = 16221 - 16017. What is the remainder when 835 is divided by s? 19 Suppose -882 = -45*v + 873. What is the remainder when v is divided by 9? 3 Calculate the remainder when 1914*(7/(-49) - (-9)/14) is divided by 205. 137 Let j = 91043 - 91030. What is the remainder when (-37)/(-1)*2/2 is divided by j? 11 Let g(k) = -46*k**2 + 51*k - 182. Let q be g(4). Let z = -700 - q. Calculate the remainder when 558 is divided by z. 12 Let n(d) = -d**2 - 14*d - 22. Let a be n(-5). Let r(f) = 3*f + 39. Calculate the remainder when r(a) is divided by 34. 6 Suppose 124*z = 116*z + 16. What is the remainder when 22 + 342 + z + -3 + 2 is divided by 16? 13 Let k = 34 - 32. Let v be 9/(k + 1) - (0 - 1). Suppose 6*o = -3*h + 5*o + 156, h - 63 = -v*o. Calculate the remainder when h is divided by 11. 7 Suppose -36*f + 52 = 16. Calculate the remainder when 6 is divided by f. 0 Suppose -3*h + 28 = -3*i - 8*h, -2 = 2*i - 5*h. Let k(l) = -6*l - 3. Let y(p) = 15*p**2 - 119*p - 13. Calculate the remainder when y(9) is divided by k(i). 32 Suppose 0 = 4*r + 5*y - 1535 + 241, 4*r - 1300 = -2*y. What is the remainder when 989 is divided by r? 11 Suppose 0 = -0*o - 2*o. Suppose 8 = y - o*y. Suppose -4*l + 106 = 2*v, -4*v - 11*l - 82 = -321. Calculate the remainder when v is divided by y. 3 Let z(d) = -d**2 + 3*d - 7. Let c = -14 - -11. Let t be z(c). Let v = t - -32. What is the remainder when 7 is divided by v? 0 Let k = -95 + 142. Suppose 0 = 13*o - 31 - k. What is the remainder when 17 is divided by ((-20)/o)/1*(-57)/38? 2 Let r = -474 + 834. Suppose 5*z - 25*z + r = 0. Calculate the remainder when 77 is divided by z. 5 Let j(p) = -24*p + 3984. What is the remainder when 4485 is divided by j(165)? 21 Suppose 0 = -4*r + 3*r, 0 = -2*u + r + 92. Suppose 63 = 5*l - b, -5*l + 9 = -5*b - u. Calculate the remainder when 193 is divided by l. 11 Let f = 89 - 7. Suppose 331 - 87 = 4*r. Suppose 72*v - 187 = r*v. What is the remainder when f is divided by v? 14 Let f(x) = 2*x**2 - 251*x - 493. Calculate the remainder when 695/7 + 4/(-14) is divided by f(-2). 14 Let v = -3104 + 3238. Calculate the remainder when v is divided by 23. 19 Suppose -94*u = -99*u + 4*l + 984, 0 = 4*u - 4*l - 792. What is the remainder when 2303 is divided by u? 191 Let s = 173 - 173. Suppose -8*k + 225 - 49 = s. What is the remainder when 85 is divided by k? 19 Suppose 3*m + 2*m - 575 = 0. Let x = 9446 - 9382. What is the remainder when m is divided by x? 51 Let t = 9 + -3. Suppose -3*g - 4*q + 35 = 0, 0 = -5*g + t*g - 2*q - 25. What is the remainder when 33 - 4*5/20 is divided by g? 15 Suppose -24 - 93 = -3*w. Let c = -4 - -214. Suppose -c = -16*s + 6*s. Calculate the remainder when w is divided by s. 18 Suppose -5*u - 173 = -f - 3*u, 3*u = -2*f + 381. Calculate the remainder when f is divided by 23*(-3 + -27 - -31)/((-1)/(-1)). 22 Calculate the remainder when 1897 is divided by 1 + 105/(-75) - (-9454)/10. 7 Suppose 0 = -4*c - 5*o + 570, 2*c + 77 = 2*o + 353. Let s = 178 - c. What is the remainder when s is divided by 10? 8 Suppose 0 = -10*i + 46*i - 1152. Let a(x) = x**2 + 4*x - 2. Calculate the remainder when a(6) is divided by i. 26 Let b(m) = -3*m - 12. Let c(d) = d - 9. Let i = 17 + -3. What is the remainder when b(-11) is divided by c(i)? 1 Suppose 3*p - 96 = 5*y, -5*y + 2*p - 86 = 13. Let u = -23 - y. Calculate the remainder when 142 is divided by 178/6 + (8/(-12))/u. 22 Let n(w) = w**2 + 14*w + 759. What is the remainder when n(31) is divided by 17? 12 Suppose -32602 = -22*u + 29684 + 6310. What is the remainder when u is divided by 24? 22 Let k = -32 + 45. Suppose -z + k = 10. What is the remainder when (69/18 - z)*6 is divided by 3? 2 Let n = 507 - 505. Calculate the remainder when -2*(-7 + (-11)/n) is divided by 11. 3 Suppose 0 = -5*a - d + 117, -2*d = -4*a + 2*a + 42. What is the remainder when ((-2)/(-4) - 0)/((-441)/(-200214)) is divided by a? 20 Let v(i) be the second derivative of i**5/20 + i**4/12 + 5*i**3/6 - 23*i**2/2 - 2*i - 91. Calculate the remainder when v(3) is divided by 8. 4 Let h(v) = -v**2 - 6*v + 5. Let u = -248 - -253. Suppose -3*b + 6*p - 2*p = -146, 4*b + u*p - 174 = 0. What is the remainder when b is divided by h(-5)? 6 Let s(v) = 17*v**2 - 68*v + 83. Calculate the remainder when s(-5) is divided by 14. 8 Let u = 7488 - 7419. What is the remainder when 894 is divided by u? 66 Suppose 19*z - 32649 + 11163 = 42373. What is the remainder when z is divided by 57? 55 Suppose 5*d - 36 = -11. Suppose 71 = 5*k - 0*y - 4*y, 0 = 5*k + d*y - 35. Let q(n) = -n**2 + 12*n + 14. Calculate the remainder when 74 is divided by q(k). 24 Suppose f - 481 = p, -p = 5*f - 4*p - 2403. Calculate the remainder when 257 is divided by (3744/f)/((-3)/(-5)). 10 Suppose 0 = -4708*d + 4711*d - 123. What is the remainder when 243 is divided by d? 38 Suppose -11*l = -528 - 11. Let z = 317 - -123. Calculate the remainder when z is divided by l. 48 Let f(s) be the third derivative of 4*s**4/3 + 47*s**3/2 + 6*s**2 + 9*s. Suppose 0 = z - 0*z - 51. What is the remainder when z is divided by f(-4)? 12 Let r(x) = x**3 + 2*x**2 - 6*x - 2. Let j be r(-4). Let u be (-5)/j + (-3)/(-2). Suppose -u*p - 40 = -58. What is the remainder when 60 is divided by p? 6 Suppose -20 = 2*f, 2*q + 40*f = 39*f + 65 + 13. Let j = 2 - 1. What is the remainder when q is divided by (1 + j + -1)*9? 8 Suppose -44657 = -48*v + 6655. Calculate the remainder when v is divided by 107. 106 Suppose 0 = 44*q - 23*q - 78246. What is the remainder when q is divided by 113? 110 Suppose -13 = -2*t - 17, 3*l = -3*t + 561. What is the remainder when l is divided by 91? 7 Let n(i) = 374*i**2 + 8*i - 8. Calculate the remainder when n(1) is divided by 40. 14 Suppose -15*i = 17663 - 21083. What is the remainder when i is divided by 72? 12 Suppose 5*o - 8*o + 5*w = -47, -4*w = 4. Let l(a) = -a**3 + 8*a**2 + 11*a - 12. What is the remainder when o is divided by l(9)? 2 Let n = 2100 - 2115. Let c(i) = i**3 + 18*i**2 + 41*i - 17. Suppose -o + 22 = -0. Calculate the remainder when c(n) is divided by o. 21 Suppose -24*a + 25 = -29*a. What is the remainder when 53 is divided by (52/2 - 1) + a? 13 Let v(y) = -y**3 - 29*y**2 - 17*y - 160. Let p be
{ "pile_set_name": "DM Mathematics" }
h + h)*(-4 + 3 + 2) + 9 - 4*h - 9 + (-1 - 3 + 3)*(h + 0 + 0). -h Expand ((2*r - 3*r + 0*r)*(-5 + 2 + 4) - r + 4*r + r)*(-3*r + 3*r + 3*r). 9*r**2 Expand (w - 2*w + 3*w)*(5 - 4 - 3) + (-w + 0*w - 2*w)*(-2 + 2 - 1)*(4 - 2 + 0). 2*w Expand (2*n - n - 3*n)*(-2*n**2 - n + n)*(-5*n - 2 + 9*n + 3). 16*n**4 + 4*n**3 Expand (7*f + 2 - 5 + 2)*(-6*f + 0*f - 2*f). -56*f**2 + 8*f Expand (3 - 3 - 2*f**4)*(1 + 0 + 2) + (6*f - 3*f - 2*f)*(-f**3 + f**3 + 3*f**3). -3*f**4 Expand (3 - 1 + 1)*(-2*p - 2*p + 3*p) + 3*p - 1 + p + 3. p + 2 Expand (0*t + 0*t + t**5 - t**5 + 5*t**2 - 5*t**2 + (t - 1 + 1)*(-3*t**2 - 2*t**4 + 3*t**2) + t**5 - 4*t**5 + 2*t**5)*(-2 + 1 + 2) + 3*t**5 + 0*t**5 - 2*t**5. -2*t**5 Expand (-5*i + 4*i - 4*i)*(3*i + 14 - 14). -15*i**2 Expand 0*c**2 + 2*c**2 - c**2 + (-2*c + 2*c - c)*(-1 + 1 - c) - 1 + 1 + 4*c**2 + (3*c + 2*c - 6*c)*(2 - 2 - c). 7*c**2 Expand (3*x - 2*x + x)*(-2*x**3 + 11*x**3 + 7*x**3) + 2*x**2 + 4*x**4 - 2*x**2. 36*x**4 Expand ((1 - s - 1)*(3*s - 2 + 2) + 0*s**2 - s**2 - 2*s**2)*(-2*s + 2*s + s**2). -6*s**4 Expand (-9*i + 1 - 2*i + 3*i)*(0*i + 0*i - 2*i**3). 16*i**4 - 2*i**3 Expand (-4 + 3 + 2)*(r + 3*r + 39*r)*(-4 - 2 + 5). -43*r Expand (2 + 2 + 2)*(-1 + 1 + 6*x**2). 36*x**2 Expand (2*a**2 - 3*a**2 + 4*a**2)*(71*a**2 - 71*a**2 + 17*a**3). 51*a**5 Expand (6*c - 6*c + 2*c)*(-c**3 + 0*c**3 + 2*c**3) - c**4 + 0*c**2 + 0*c**2 + 0*c**2 + 2*c**4 + 0*c**2. 3*c**4 Expand ((4 - 4 - 2*q)*(-2*q - 1 + 1) + 0*q**2 + 0*q**2 + 2*q**2 + (-q + 4*q**2 + q)*(0 - 6 + 4))*(4*q**3 - q + q - 1). -8*q**5 + 2*q**2 Expand 2*q**2 + q - q - q**2 - 19*q**2 + 5*q**2 - 3*q**2 + 2*q**2 + 0*q**2 + (-4*q + 5*q - 2*q)*(0*q + 3*q - 2*q). -15*q**2 Expand (-339*c + 339*c + 28*c**4)*(-2 + 2 - c). -28*c**5 Expand (-1 + 2*y + 1 + 0*y - y + 2*y - y - 2*y + y + (-4 + 1 + 1)*(2*y - 2*y + y))*(3 - 5 - 3). 5*y Expand (3 - 1 - 1)*(-3 - 2 + 3 + (-2 + 0 + 4)*(0 - 3 + 1))*(0*d - d + 4*d). -18*d Expand 3*x - 3*x + x**2 + (-8 + 10*x + 8)*(4 - 1 - 2 - x). -9*x**2 + 10*x Expand 62 - 18*q + 33*q - 14*q + (1 - 4 + 2)*(2*q - 7*q + 2*q). 4*q + 62 Expand (-4*k**4 + 5*k**4 + 3*k**4)*(0*k - k - k)*(2 - 2 + 3). -24*k**5 Expand (7*s - 4*s - 6*s + 3*s**3)*(-3 - 2 + 2). -9*s**3 + 9*s Expand -o + 2 - 2 - 3*o + 0*o + 5*o + 4*o - o - 4*o + (5*o + 0*o - 3*o)*(3 - 5 + 1) + (4 + 2 - 5)*(2 + 3*o - 2). o Expand -1 + 1 - i**3 + (-i**2 + 0*i**2 - i**2)*(i - 1 + 1) - 4*i**3 + 4*i**3 - 3*i**3 + 7*i**3 - 2*i**3 + 2*i**3. i**3 Expand (85 - 4*o**2 + 19*o**2 - 86)*(2*o + 0*o - 3*o). -15*o**3 + o Expand (-2*r - 5*r + 3*r)*(6 - 4 + 0) + (4*r + r - 4*r)*(-1 + 2 - 3). -10*r Expand -2*k**2 - 3*k**2 + 3*k**2 + (-2*k + 6*k - 3*k)*(-1 + 1 + 2*k) + 4*k**2 - 4*k**2 + 4*k**2. 4*k**2 Expand (3 - f - 3)*(0*f**3 + 2*f**3 - 4*f**3) + f**4 - 5*f**4 + 6*f**4 + 4 - f**4 - 4 - f**4 - 5*f**4 + 4*f**4 + 2*f**4 + 2*f**4 - 2*f**4 - 2*f**3 + 1. 3*f**4 - 2*f**3 + 1 Expand (-2*g - 9*g + 2*g)*(-3 - 1 + 2)*(-3*g + 0*g + g) + 0*g + 0*g - 2*g**2. -38*g**2 Expand ((2*y**2 - 3*y + 3*y)*(3 + 1 - 5) - 4*y**2 + 4*y**2 - 2*y**2 + 2*y**2 - y**2 - 3*y**2)*(-21*y**2 - 12 + 12). 126*y**4 Expand (4*i + 1 - 2*i - 3)*(3 - 2*i**3 - 3). -4*i**4 + 4*i**3 Expand 2*t**5 + 12*t**5 - 5*t**5 + (-2*t**4 + 0*t**4 + 0*t**4)*(2*t - 4*t + 4*t) + 4*t**2 - 4*t**2 - t**5 + (2*t**4 - 3*t**4 + 3*t**4)*(3*t + 3*t - 4*t). 8*t**5 Expand ((3 - 1 - 1)*(-1 + 1 + i) - i + 4*i + 0*i - 83 + 83 - 14*i)*(-2*i + i**4 + 2*i). -10*i**5 Expand (o**4 - 2*o**3 + 2*o**3 + (o**2 - 2 + 2)*(-o + o + 2*o**2))*(-8*o - 10 + 10). -24*o**5 Expand (-2*d**4 + d**4 + 2*d**4)*(-5*d + d + d) - 6*d**5 - 7*d**5 + 6*d**5 + d**5 - 5*d**5 + 3*d**5. -11*d**5 Expand (-p + p - p**2)*(0 + 2 - 1)*((-2 + 2 - p)*(-5 + 0 + 4) + p + 2*p - p). -3*p**3 Expand (-2 - 18 - 25)*(0*s**5 + s**2 + s**5 - 2*s**2). -45*s**5 + 45*s**2 Expand 13*n + 3 - 2*n**2 - 13*n + (-5*n**2 - 2*n**2 + 5*n**2)*(0 + 3 - 2). -4*n**2 + 3 Expand (0 - g + 0)*(-g**3 + 4*g**3 - g**3) + 15*g**4 - 15*g**4 + 16*g**4 + 2 - 2*g**4 - 2. 12*g**4 Expand (0 + 0 - 1)*(2*m**4 - 2*m**4 - m**4) + 0 + 3*m**4 + 0 + (m**4 + m**4 - m**4)*(2 - 2 - 1). 3*m**4 Expand (-2*p**2 + 0*p**2 + 4*p**2)*(1 - 2 - 1)*(-5*p + 0*p + 11*p). -24*p**3 Expand 3*m**2 - m**2 - 4*m**2 + (-m + 0*m - 2*m**2 - m**2)*(-2 - 3 + 0). 13*m**2 + 5*m Expand (-2 + 0 - 2)*((-2 + 2 - 2*w)*(0 + 0 - 2) + w - 3*w + 4*w + 1 - 1 - w - 105*w + 44*w - 37*w). 372*w Expand (0*d + d + d)*(20 - 1 + 2). 42*d Expand (3*z**2 + 0*z**2 - 2*z**2)*(6*z + 10*z - 22*z + 3). -6*z**3 + 3*z**2 Expand (-2*h**3 - h**3 - 3*h**3)*((-2 - 2 + 5)*(-3 - 3 + 4) - 2 + 0 + 0). 24*h**3 Expand (-3 - 2 + 3)*(0 + 0 + 2*m) + 1 - 1 + 2*m + (0*m + 2*m - m)*(-1 + 2 + 0). -m Expand 3*t**3 - 2*t**3 - 3*t**3 - t**3 - 3*t + 3*t + (-3*t + 2*t + 2*t)*(-14*t**2 - t**2 - 16*t**2). -34*t**3 Expand (-3*s + 3 - 8 + 7*s)*(-2 + 0 + 3 + s). 4*s**2 - s - 5 Expand 2*u**4 - 2*u**2 + 2*u**2 + (176*u - 13*u**3 - 176*u)*(-4*u + 3*u + 0*u). 15*u**4 Expand (p - 2*p**2 - p)*(-p - 2*p + 2*p) + (-3*p + 3*p + 8*p**2)*(2*p - 2*p + p). 10*p**3 Expand -18*u**2 - 4*u**2 + 6*u**2 + (-3 + 3*u + 3)*(u + 4*u - 6*u + (0 + u + 0)*(1 - 1 - 1)). -22*u**2 Expand (-12*j - 3*j**3 + 12*j)*(-j**2 - 2*j**2 + j**2). 6*j**5 Expand -47*z**4 + 47*z**4 - 31*z**5 - 2 - 2*z**5 + 0*z**5 + z**5 + (-z**2 + 2*z**2 - 2*z**2)*(z**3 + 0*z**3 + 0*z**3) - 2*z**5 + z**4 - z**4. -35*z**5 - 2 Expand -4 + 4 - 2*s**2 - s**2 - 3*s**2 + 3*s**2 + (-5*s + 3*s + 0*s)*(-2*s + 0*s + 4*s) + 5 + 2 - 29*s**2 - 4. -36*s**2 + 3 Expand (n + 2*n - 4*n)*(1 - 2 - 1) + 0*n + n - 5*n. -2*n Expand (d + 3*d - 2*d)*(2 - 2 - 2*d) + 0*d + 2*d**2 + 0*d + 3*d - 3*d**2 + 4*d**2 + 0*d**2. -d**2 + 3*d Expand (-3*x + 3*x - x)*(0 - 1 + 3) + (-x + 3 - 3)*(4 - 1 - 2). -3*x Expand 21*x**2 + 36*x**2 - 37*x**2 + (-2*x + 2*x - x)*(-2*x + 2*x + 2*x) + 0*x + 0*x - x**2. 17*x**2 Expand (-2*g**2 + 2*g**2 - 2*g**3)*(-16 + 11 - 46). 102*g**3 Expand 3*n**2 + 0*n - 2*n + 4*n - 2*n**2 - n**2 + 2*n**2 + (n + n**2 - n)*(-3 + 2 + 0). n**2 + 2*n Expand (-11*v**3 + 20*v**3 - 10*v**3)*(0 - 1 + 3)*(-3*v + v + 4 - 5). 4*v**4 + 2*v**3 Expand (2*v - 5 + 5)*(-15*v + 15*v + 5*v**3). 10*v**4 Expand (-b**2 + 3*b**2 - 3*b**2 + (b + b - b)*(-2 - b + 2))*(0*b + 0*b - 6*b). 12*b**3 Expand (-b - 1 + 1)*(0 - 2 - b + 0). b**2 + 2*b Expand (-6*q - q**2 + q**2 - 21*q**2)*(3*q**2 - 5*q**2 + q**2). 21*q**4 + 6*q**3 Expand (-3*m**2 - 2*m**2 + 3*m**2)*(2*m + 3*m - 4*m)*(-3*m + 5*m + 4*m). -12*m**4 Expand (6*c - 3*c + 12*c)*(-1 + 2 - 3)*(4*c - 2*c - c). -30*c**2 Expand (-6*j**2 + 4*j**2 - j**2)*(-3*j - 2*j + 3*j) + j + j - 6*j + 3*j**3. 9*j**3 - 4*j Expand (4*u + 0*u + u)*(-2*u + 1 - 1) + 5*u**2 - 4*u**2 + 0*u**2. -9*u**2 Expand -2*d**4 + 0*d**4 + 0*d**4 + 2*d**4 + 4*d**4 - 4*d**4 + (3*d**2 - d**2 - 3*d**2)*(13*d**2 + 11*d**2 - 8*d**2). -16*d**4 Expand 3*b**4 + b**2 - b**2 + 6*b**4 - 4*b**4 + 6*b**4 + (2*b**2 - 2*b**2 - 2*b**3)*(-4*b + 0*b + 5*b). 9*b**4 Expand (-j + 4*j + 2*j)*(-7*j**3 + 6*j**3 - j**3 + 3*j). -10*j**4 + 15*j**2 Expand (8 - 7*p**2 + 3 + 6*p**2)*(2*p**2 - 5 + 5). -2*p**4 + 22*p**2 Expand (-2 + 0 + 4)*(-3*p**3 + 3*p**3 - 9*p**3). -18*p**3 Expand (3*k - 3*k + 2*k**3)*(0 + 6*k - 4*k - 4). 4*k**4 - 8*k**3 Expand (-w**3 + 2*w**3 + w**3)*(0*w**2 - 8*w - 4*w**2 + 5*w**2). 2*w**5 - 16*w**4 Expand (-26*r + 11*r - 16*r)*(-2*r**3 + 2*r**3 - 2*r**3). 62*r**4 Expand 6*y**2 - 86*y**3 + y - 4*y**2 + 88*y**3 + (0 - 5 + 4)*(0*y**2 + 0*y**2 + y**3). y**3 + 2*y**2 + y Expand 31 + 10*q - 31 + (1 - 3 + 3)*(2*q + 1 - 1). 12*q Expand (-80 + 80 - 2*g)*((3*g - 3*g - g)*(0*g + g + 0*g) - 4*g**2 + 7*g**2 - g**2). -2*g**3 Expand (-2*b**4 + 0*b**2 + 0*b**2)*(-22 - 22 + 26*b + 43). -52*b**5 + 2*b**4 Expand (1 + o - 1)*(10*o - 9*o - 25*o). -24*o**2 Expand (h**5 - 4*h**5 + 4*h**5)*(0 + 3 - 1) + 15*h**3 - 9*h**3 - 8*h**3 + 13*h**5. 15*h**5 - 2*h**3 Expand (7*h - 7*h - 12*h**3)*(1 + 3 - 2). -24*h**3 Expand -29*v + 29*v + 8*v**4 + (-v + 3*v - 4*v)*(-2*v**3 + 5*v**3 - 4*v**3). 10*v**4 Expand (p + 0*p - 3*p)*((2 - 2 + 2*p)*(-2 + 0 + 1) + p + 3 - 3). 2*p**2 Expand (5*u**2 - 4*u**2 - 2*u**2)*(-5 - 9 - 2). 16*u**2 Expand (1 - 2 - 1)*(4 + 0 - 1)*(-6*s**4 + 9*s**4 - 9*s**4). 36*s**4 Expand (0 - 4 - 1)*(-2*j**2 + j**2 + 6*j**2 + 2*j**2 + 2*j**2 - 3*j**2 + (2 - 2 - 2)*(0 + 0 + 2*j**2)). -10*j**2 Expand 13*r + 69*r + 82*r + (-1 - 1 + 0)*(-1 + 1 + 2*r) + 1 - 1 + 2*r + r + 2*r - 5*r. 160*r Expand (m
{ "pile_set_name": "DM Mathematics" }
3/3 + c - 9. Let p(t) be the second derivative of d(t). What is p(z(b))? 8*b Let c(r) = -37072186*r**2 - 3*r. Let w(b) = b**2. Calculate c(w(p)). -37072186*p**4 - 3*p**2 Let b(k) = 1101*k - 547*k + 1 - 553*k - 1. Let a(r) = 55*r**2. What is b(a(p))? 55*p**2 Let b(a) = -a + a + 3*a**2. Let w = -94 - -180. Let c(j) = -w*j - 76*j + 158*j. What is c(b(d))? -12*d**2 Let u(v) = -2*v**2. Let a(h) = h + 4 + h + 33 - h**2. Let x be a(-5). Let n(g) = 97*g**x - 4*g - 99*g**2 + 4*g. Determine n(u(d)). -8*d**4 Let v(x) = 92*x. Let y be (7 + 69/(-9))/((-4)/234). Let u(a) = 18*a + 22*a - y*a. Give v(u(l)). 92*l Let n(w) = 33*w - 25. Let x(o) = -52*o + 40. Let h(z) = -8*n(z) - 5*x(z). Let i(u) = -46*u**2 + u. Give h(i(y)). 184*y**2 - 4*y Let t(z) = z. Let v(o) = -2*o**2 - 14432*o - 14452*o + o**2 + 28857*o. What is v(t(f))? -f**2 - 27*f Let z(i) = -546*i**2. Let s(j) = 11*j + 3. Give s(z(m)). -6006*m**2 + 3 Let g(s) = 29*s. Let c(o) = 1227*o - 62. Calculate c(g(u)). 35583*u - 62 Let y(a) = -6*a**2 + 100*a. Let d(l) = 3*l**2 - 60*l. Let r(w) = 5*d(w) + 3*y(w). Let q(g) = -2*g - 3*g + 3*g + g. What is r(q(z))? -3*z**2 Suppose -4*l = 4*a - 100, -l + 0*l + 3*a + 13 = 0. Let g be l/99 + (-16)/(-9). Let z(s) = -6*s**g + s**2 + 6*s**2. Let v(i) = 4*i**2. Calculate z(v(p)). 16*p**4 Let k(t) = -4*t + 7. Suppose l = 4*g - 13, 4 = -3*g + 2*l + 20. Let i(n) = 62*n**2 - 59*n**g + 8 - 8. What is k(i(o))? -12*o**2 + 7 Let l(w) = -2*w**2. Let x(t) = t - 518021. Determine x(l(z)). -2*z**2 - 518021 Let c(o) = -702*o. Let x(l) = -8*l**2 - 2*l**2 + 22*l**2 - 8*l**2 - 3*l**2. What is x(c(r))? 492804*r**2 Let c(k) = 101*k**2. Let j(t) be the third derivative of t**5/6 - 805*t**2 - 3*t + 2. What is j(c(r))? 102010*r**4 Let k(p) = 14*p. Let y(g) be the second derivative of -g**4/6 - 14*g**2 + g - 549. Determine y(k(j)). -392*j**2 - 28 Let h(u) = 644*u**2 + 8*u - 10. Let f(v) = -4509*v**2 - 60*v + 75. Let a(g) = -4*f(g) - 30*h(g). Let o(r) = r. Determine o(a(t)). -1284*t**2 Suppose -3*o + o = 5*x + 4, o = -5*x - 17. Let g(b) be the third derivative of -o*b**2 + 0*b**3 + 0 + 0*b - 1/24*b**4. Let y(q) = 23*q**2. Calculate g(y(u)). -23*u**2 Let r(d) = 1446*d. Let s(c) = 8944*c**2 - c + 8. Calculate r(s(v)). 12933024*v**2 - 1446*v + 11568 Let i(y) = -3*y**2. Let w(j) be the first derivative of -172*j**3/3 - 476. Calculate w(i(u)). -1548*u**4 Let a(n) be the first derivative of -79*n**2/2 - n - 5368. Let i(f) = -f**2 + 0*f**2 + 2*f**2 - 2*f**2. Calculate a(i(g)). 79*g**2 - 1 Let a(h) be the second derivative of h**4/6 - h. Suppose 0*d - d - 4 = -j, 3*j - 4*d = 7. Let v(c) = -13*c + j*c - c. Determine a(v(f)). 50*f**2 Let c(u) = 623953053*u. Let m(d) = 2*d**2. Determine m(c(s)). 778634824696041618*s**2 Let q(t) = 2*t. Let y(u) = 27*u - 9. Let z = -42 + -21. Let p = z + 54. Let a(b) = 7*b - 2. Let o(k) = p*a(k) + 2*y(k). Calculate q(o(m)). -18*m Let a(z) = -z**2 - 84*z - 12. Let k(c) = -70*c - 10. Let g(b) = 5*a(b) - 6*k(b). Let w(y) = 74*y - 1. Calculate w(g(h)). -370*h**2 - 1 Let s(h) = 4700*h + 21432. Let r(q) = 266*q + 1216. Let w(u) = -141*r(u) + 8*s(u). Let a(d) = 1 - 2*d**2 - 1. Determine a(w(y)). -17672*y**2 Let x(d) = -35*d - 2. Let c(o) = -56*o**3 + 3*o**2 + 11*o + 8. Let v be c(-4). Let s(i) = v + 3*i - 3596. Determine x(s(k)). -105*k - 2 Let d(h) be the third derivative of h**5/20 - 1334*h**2. Let p(l) = -l - 757. What is d(p(q))? 3*q**2 + 4542*q + 1719147 Let v(l) = -6*l**2. Let q(s) = 2*s + 4. Suppose 3*h + 30 = -5*r, 8*h - 4*r - 27 = 11*h. Let g(z) = 5*z + 5. Let a(f) = h*q(f) + 4*g(f). Give v(a(k)). -600*k**2 Let v(c) = -47*c**2. Let z(u) = 469*u + 492*u - 950*u + 17*u**2 - 11. Let s(i) = 6*i**2 - 5 + 4*i + 0 + 1. Let f(a) = 11*s(a) - 4*z(a). Determine f(v(q)). -4418*q**4 Let s(c) = 4*c. Let p(m) = 3*m - 160107. Calculate s(p(g)). 12*g - 640428 Let l(j) = j**2 + 77*j. Let c = -50 - -51. Let z(i) = i**2 + 1. Let f(x) = -4*x**2 - 2. Let p(g) = c*f(g) + 2*z(g). Give l(p(k)). 4*k**4 - 154*k**2 Suppose -3801 + 36196 = 5*b - 3*a, -3*a - 6467 = -b. Let p(k) = -b + 6482 - k. Let j(z) = -14*z**2. Give j(p(n)). -14*n**2 Let m(o) = o. Let g(p) = -2*p - 19. Let r be g(-12). Suppose k = r, -5*k = -w - k + 30. Let h(b) = -w - 54 + 104 + 18*b. Calculate m(h(v)). 18*v Let t(x) = 422*x. Let u(l) = -1122553*l. Determine u(t(b)). -473717366*b Let n(q) = -52759*q**2. Let m(a) = -8*a**2. Give n(m(j)). -3376576*j**4 Let w(y) = -495*y**2 + 1561*y**2 - 533*y**2 - 534*y**2. Let p(k) = -12983*k**2. Give p(w(t)). -12983*t**4 Let g(j) = 4*j - j - 5*j. Let l(f) = -2072 - 128*f - 2072 + 4144. Determine g(l(a)). 256*a Let o(t) = -2*t - 1. Let n(s) = -175*s + 319*s - 5 + s**2 - 158*s. Let g(q) = -n(q) + 5*o(q). Let z(u) = u**2. Calculate g(z(f)). -f**4 + 4*f**2 Let j(s) = 3*s**2 - 3. Let n(q) = -12*q**2 + 136*q**2 - 87*q**2 - q - 15*q**2. Give n(j(a)). 198*a**4 - 399*a**2 + 201 Let p(m) = -135*m**2 + m - 35588. Let t(s) = -7*s. Determine t(p(n)). 945*n**2 - 7*n + 249116 Let p(h) = -918*h + 5. Let j(w) = 20*w**2 - 163. Calculate p(j(n)). -18360*n**2 + 149639 Let n(v) = 2*v + 18. Suppose p + 40 = -4*p. Let c be n(p). Let o(k) = 78*k**2 - 22*k**2 - 29*k**c - 25*k**2. Let y(h) = -16*h**2. Calculate y(o(a)). -64*a**4 Let i(s) = 3*s. Let x(d) = 4*d. Let w(o) = i(o) - x(o). Let h(l) be the second derivative of 83*l**3/6 - 58*l. Determine w(h(r)). -83*r Let o(m) = 83*m - 2. Let i(c) = -3951747 - 12*c + 3951747. Determine i(o(w)). -996*w + 24 Let j(x) = -84*x + 49. Let r(q) = -7*q + 4. Let o(y) = 4*j(y) - 49*r(y). Let i(d) be the second derivative of -11*d**4/12 + 8666*d. Give o(i(b)). -77*b**2 Let p(y) = -486*y**2 + 9*y - 1. Let i(k) = 75*k. Calculate p(i(z)). -2733750*z**2 + 675*z - 1 Let a(b) = 33263*b + 26. Let g(p) = -8*p**2. What is a(g(r))? -266104*r**2 + 26 Let l(c) = c**2. Let b(k) = -30144171*k + 16. What is b(l(m))? -30144171*m**2 + 16 Let a(m) = -m. Let q(l) be the third derivative of -56*l**5/15 + 1294*l**2 - l. What is q(a(s))? -224*s**2 Let z(q) = q**2. Let y(l) = 683*l + 8. Let i be y(5). Suppose 4*o + 92421 = 31*o. Let m(x) = -o*x + 28*x**2 + i*x. Give z(m(p)). 784*p**4 Let i(u) = u**2. Suppose 0 = -10*t + 13 - 3. Let s(p) = p + 5*p - 1 - t + 8 - 1. Calculate i(s(j)). 36*j**2 + 60*j + 25 Let t(j) = -15*j + 7. Let x(f) be the first derivative of -7*f**3/3 + 3654. Determine x(t(y)). -1575*y**2 + 1470*y - 343 Let r(d) be the second derivative of 29*d**4/12 + 1727*d. Let v(c) = 45*c. Give v(r(y)). 1305*y**2 Let z(h) be the third derivative of -h + 0 + 0*h**3 - 1/12*h**4 + 9*h**2. Let o(j) = -12*j**2. Determine o(z(g)). -48*g**2 Let n(x) = 5*x - 3. Let c(k) = -3*k + 4*k + 8*k - 5. Let t = -4412 - -4407. Let h(f) = t*n(f) + 3*c(f). Let o(j) = 32*j. Determine h(o(y)). 64*y Let y(i) = 2464*i. Let q(o) be the second derivative of o**4/6 + 4679*o. Determine q(y(u)). 12142592*u**2 Let g(l) = 3*l**2. Let x(b) be the third derivative of -b**4/2 + 7*b**3/6 - 7*b**2 + 4. Let w(a) = 38*a - 19. Let n(f) = 4*w(f) + 11*x(f). Determine g(n(p)). 1200*p**2 + 120*p + 3 Let c(w) = 10*w**2. Let k(r) be the first derivative of 4*r**3 + 20 + 88 + 1. Give c(k(y)). 1440*y**4 Let u(p) = 5181*p. Let i(n) = 5246*n**2. Calculate u(i(g)). 27179526*g**2 Let n(h) = 8*h**2 - h. Let g(f) = -290*f - 1265. Let c(b) = 21*b + 92. Let p(z) = 55*c(z) + 4*g(z). What is p(n(r))? -40*r**2 + 5*r Let t(s) = 208033*s. Let v(w) = -492*w**2. Determine t(v(m)). -102352236*m**2 Let m(w) be the second derivative of -11*w**4/2 - 1762*w - 2. Suppose 10 = 5*k - 5. Let g(i) = k + 4*i - 3 - 2*i. Determine g(m(y)). -132*y**2 Let u(d) = 40*d. Let l(k) = 10 + 84376*k - 42191*k - 42186*k. Determine l(u(r)). -40*r + 10 Let w(p) = -7*p + 140. Let t(y) = 6*y - 112. Let j(m) = -5*t(m) - 4*w(m). Let i(d) = -3*d. Let a(h) = 6*h + 1. Let q(k) = 2*a(k) + 5*i(k). Give j(q(s)). 6*s - 4 Let f(z) = -491715*z**2. Let v(d) = -76*d**2 - 1. Determine v(f(j)). -18375556733100*j**4 - 1 Let i(m) be the first derivative of 2*m**3/3 + m**2 - 20. Let o be i(2). Let k(q) = -11*q + 0 + 0 + o*q. Let a(y) = -30*y. Give a(k(v)). -30*v Let w(b) = -7*b - 18. Let x(j) = -52*j - 40. Calculate w(x(t)). 364*t + 262 Let j(l) = -99*l**2 - 102*l**2 + 390*l**2 - 95*l**2 - 96*l**2. Let m(i) = 1020*i**2. Calculate j(m(b)). -2080800*b**4 Let m(s) be the third derivative of s**5/60 - 17*s**2 - 40
{ "pile_set_name": "DM Mathematics" }
54 + u. Calculate the greatest common divisor of 45 and i. 15 Suppose 2 = -3*t + 8. Let s = 8 - t. Calculate the highest common divisor of 4 and s. 2 Let f(u) = 4*u - u + u**3 - 6*u + 7*u**2 + 1. Let i be f(-7). What is the highest common divisor of 242 and i? 22 Let z be 1*(-140)/(-44) + (-2)/11. Suppose -264 = -3*m - z*g, -8*m + 13*m - 2*g - 461 = 0. Let b = 24 - 11. What is the highest common divisor of b and m? 13 Suppose 0 = -0*m - 3*m + 12, y - m = 25. Let d be (0 - (-7 + 3)) + 54. Calculate the greatest common divisor of y and d. 29 Suppose 4*j - 9*j + 5*l + 265 = 0, 269 = 5*j - l. Calculate the highest common divisor of 12 and j. 6 Let o be (9/4)/((-8)/(-32)). Let l be (-3)/(((-1)/o)/((-14)/(-42))). Suppose 71 = 5*y - 154. What is the highest common divisor of l and y? 9 Suppose -2*h + 209 = -5*u, -3*h + u + 208 = -99. Let g = h + -70. Suppose k = -4*k + 240. Calculate the highest common factor of g and k. 16 Let l(a) = 10*a**2 - 16*a - 274. Let r be l(-9). What is the greatest common divisor of r and 40? 40 Suppose -5 = 5*y, -y + 3*y = z - 34. What is the highest common factor of z and 24? 8 Suppose 92*l - 88*l = 2*u + 1298, -3*l = -4*u - 966. Calculate the highest common factor of l and 2. 2 Let q(o) = 2*o**3 - 63*o**2 + 34*o + 12. Let a be q(31). Calculate the greatest common divisor of 168 and a. 21 Let p = 38 - -215. Calculate the greatest common factor of 115 and p. 23 Suppose 971 = 10*x - 1269. What is the greatest common divisor of 63 and x? 7 Let v be -2 + (6/3 - 0). Suppose 4*g - 1 - 219 = v. Let b(q) = -3*q**2 - 17*q - 2. Let p be b(-3). Calculate the greatest common factor of g and p. 11 Suppose 0 = -3*o + g + 103, -8*o + 4*o + 2*g = -136. Calculate the greatest common factor of 65 and o. 5 Suppose -3 - 2 = -5*q, -5*q = -z + 346. What is the highest common divisor of z and 27? 27 Let w be (-70)/(-22) + 6/(-33). Let l = -59 + 82. Suppose -o - w*r - 1 = -18, -3*r = -4*o + l. Calculate the greatest common divisor of 56 and o. 8 Suppose 0 = u + 2*u - 666. Suppose -434 - u = -4*j. Let b = 362 - j. Calculate the highest common divisor of 22 and b. 22 Suppose x - 62 = -2*q, 2*q + 230 = 4*x + 4*q. Calculate the greatest common divisor of x and 7. 7 Let g(a) = -a**2 - 41*a - 135. Let j be g(-36). Calculate the highest common divisor of 60 and j. 15 Let r = 2 - 3. Let t = -53 - -51. Let j be ((-1311)/(-38))/(r/t). Calculate the highest common divisor of 23 and j. 23 Let l be 6185/(-7) + -2 - 3/7. Let h be 26/(-117) - l/18. Calculate the greatest common factor of 7 and h. 7 Suppose -5*f - t + 7 + 21 = 0, t - 16 = -3*f. Suppose -4*x = -f*x + 24. What is the greatest common divisor of 3 and x? 3 Let o = 70 + -50. Suppose -q - 1 = 0, -2*j - 3*q = -63 + o. Suppose 5*r - j = 32. What is the highest common divisor of 22 and r? 11 Suppose u = -1 + 2. Let b be 18 - (2 - (-1 - u)). Calculate the greatest common divisor of b and 56. 14 Suppose -3 = 2*r + 1. Let s be ((-9)/r)/(3/4). Suppose 0 = 2*x - 44 - 52. What is the highest common divisor of s and x? 6 Suppose 3*c = -2*d + 24, 4*d - 40 = -4*c - 0. Let l(b) = d - 9*b - 8*b + 3*b. Let f be l(-7). Calculate the highest common divisor of 13 and f. 13 Suppose 528*a - 527*a - 56 = 0. What is the greatest common factor of 42 and a? 14 Let c = -236 + 332. What is the highest common factor of c and 120? 24 Let d(v) = 10*v**3 - 17*v**2 + 2*v - 10. Let i be d(3). Calculate the highest common divisor of 2825 and i. 113 Let s(p) = 2*p**3 + 7*p**2 - 22. Let a be s(3). Calculate the greatest common factor of 133 and a. 19 Suppose -4*y = -y - 675. Let n(a) = 5*a + 16. Let m be n(-8). Let d = m - -49. What is the highest common divisor of d and y? 25 Let t be 0 - (9/(-3) + 0). Suppose -t*w = -8*w + 50. Suppose -25*y + 16 = -109. What is the highest common factor of y and w? 5 Let d be 198 + (1 + 5 - 6). Let r = d + -88. Let w(g) = 4*g**2 - 6*g + 4. Let j be w(4). What is the greatest common factor of r and j? 22 Suppose 0 = -4*h - h + t + 23, 4*t = -5*h + 8. Suppose -5 = -5*r - 5*f, -3*r = -h*r - 2*f - 3. What is the highest common factor of r and 45? 5 Suppose 2*u - 20 + 6 = 0. Suppose 12 = h - u*h. Let x be (-3 - -17)/2 + h. What is the highest common divisor of x and 55? 5 Let d be -3*6/9 + 46. Calculate the greatest common factor of d and 99. 11 Let z = -163 - -201. What is the highest common divisor of z and 57? 19 Let z = 2040 + -1656. Calculate the highest common factor of 72 and z. 24 Let b(k) = -2*k + 16. Let s be b(6). Suppose -5*n + 36 = s*v, -44 = -4*v - 0*n - 3*n. Suppose 0 = -g + v - 6. Calculate the highest common divisor of g and 32. 8 Let n(p) = -p**2 - 3*p + 5. Let x be n(-4). Let o be 17 - -2*x/(-2). Let d(w) = 304*w - 2120. Let v be d(7). What is the highest common factor of v and o? 8 Let r be (10/4)/((-2)/(-4)). Suppose 0 = -2*b - r + 3. Let m be b/2 + 74/4. What is the greatest common factor of m and 72? 18 Suppose 0 = -i + 3*y + 3, -4*i + 4 = -2*i - 5*y. Let z be i/9 - -1*(-75)/(-9). Calculate the highest common divisor of 32 and z. 8 Let b be ((-6)/(-5))/((-4)/10). Let t be (-1 - 8)*(-4 + b + 4). Calculate the highest common divisor of 3 and t. 3 Suppose 805 = -62*k + 9981. What is the highest common factor of 1258 and k? 74 Let l(p) = 11*p**2 - 1. Let h be l(-1). Let o = h - 12. Let w be -3 + 22 + 1 + o. What is the highest common divisor of 45 and w? 9 Let q = -210 + 396. Calculate the highest common factor of 992 and q. 62 Let n = 47 + -34. Suppose 0 = 4*x + 3*o - n, 0 = -5*x + 3*o + 64 - 14. Calculate the highest common divisor of x and 56. 7 Let t = -15 + 18. Let r(s) = 6 + 9*s + 10 + 2*s**2 + 4*s - t*s**2. Let p be r(12). What is the highest common factor of 28 and p? 28 Let l be 4306/6 + (-462)/(-198). Calculate the greatest common factor of 15 and l. 15 Let g = -13 - -10. Suppose -3*u - 71 = -4*x, x - 5*u - 8 = -3. Let p be g + 1 + x + 0. What is the greatest common factor of p and 6? 6 Let j = -66 - -30. Let k = 51 + j. Suppose 3*m - 4*u - 131 = 0, -m - 3*u = m - 93. What is the greatest common divisor of m and k? 15 Suppose 1332 = 5*q + 4*g, 5*q - 28*g + 25*g - 1311 = 0. Calculate the greatest common factor of 220 and q. 44 Let m = -800 + 819. What is the highest common divisor of m and 1957? 19 Let m(b) = 3*b**2 + 2*b + 7. Let h be m(-7). Suppose -4*g + 2*u + 221 = 3*u, 0 = -3*u - 9. Calculate the highest common divisor of g and h. 28 Let z be (-10)/(-1)*(-1)/(-2). Let u be 12*(-6)/((-15)/z). Calculate the highest common factor of 6 and u. 6 Suppose -76 = -2*c + 2*y, -7*c - 46 = -8*c - y. What is the highest common factor of 49 and c? 7 Let t = -4 + 4. Suppose t*o + 3*p = -o + 4, -5*o = 2*p - 20. Suppose 2*q - 64 = -4*j, -3*j = -q - 2*q + 96. What is the highest common divisor of o and q? 4 Let l(n) = 12*n**2 + n - 2. Let g = -6 - -8. Let h be l(g). Let k = 254 - 242. What is the highest common divisor of h and k? 12 Let m be (-2 + 0 + 2)/(-1). Suppose 0 = 13*b - 67 - 11. Suppose m = w - b. Calculate the highest common factor of 4 and w. 2 Suppose 727 + 2048 = 37*y. What is the greatest common divisor of 25 and y? 25 Let o = 15 + -12. Suppose 3*k + o = 3*n - 3, -4*n + 8 = 4*k. Let g be 1518/21 + n/(-7). What is the greatest common divisor of g and 9? 9 Let g be (22/(-2)*1)/2*-2. Let q = -4 + g. Let u be 1/((-2)/(-14))*3. Calculate the greatest common divisor of u and q. 7 Suppose -3*r + 81 = 5*g - 25, r = 2*g + 50. Suppose 44*v - 36 = 40*v. Suppose 3*b + 84 = v*b. Calculate the greatest common divisor of r and b. 14 Let g = -102 - -159. Suppose -h + 3*h = -0*h. Let y be (h - 2/9) + 2064/54. What is the greatest common divisor of y and g? 19 Let w be 114/9 + (-4)/12*-4. Suppose -m - 30 + 34 = 0. What is the greatest common factor of m and w? 2 Let d = -354 + 368. Calculate the highest common factor of 42 and d. 14 Let y be 156/10*(1 + (-485)/(-15)). Let p be (-6 + 1 + 2)*y/(-15). Calculate the greatest common divisor of 26 and p. 26 Suppose -a + 5*a = -144. Let n be 8/6*a/(-24). Calculate the highest common divisor of 2 and n. 2 Suppose 61*n - 66*n = -545. Let x = n - 98. What is the greatest common factor of x and 11? 11 Suppose -6*o = 7*o - 494. What is the greatest common divisor of o and 760? 38 Let l(t) = -12*t - 197. Let b be l(-17). Calculate the highest commo
{ "pile_set_name": "DM Mathematics" }
- 20 = -5*f. Let w(m) = 0*m + 2*m - f*m + 4*m. Determine w(j(v)). -10*v Let g(l) = 14*l**2. Let r(d) = d**2 + 3*d**2 - 5*d**2. Let k(o) = g(o) + 12*r(o). Let i(w) be the first derivative of w**2 + 9. Calculate i(k(u)). 4*u**2 Let x(m) = -2*m**2. Let u(k) = -667*k + 1. Give u(x(n)). 1334*n**2 + 1 Let i(r) = -2*r**2. Let o(x) = -24*x**2 + 31*x**2 - 28*x**2. Calculate i(o(m)). -882*m**4 Let i(t) = -57 + 57 - 7*t**2. Let z(b) = -8*b**2. Give i(z(v)). -448*v**4 Let j(p) = -8*p - 4*p + 11*p. Let a(s) = -4*s**2. Calculate a(j(b)). -4*b**2 Let z be -1 - -1 - (-6)/2. Let r(b) = b**2 - 1. Let k be r(-1). Let v(c) = k*c + z*c - 7*c. Let l(a) = 2*a**2. Determine l(v(s)). 32*s**2 Let x(s) = 5*s**2. Let a(n) = -n + 7. Let f be a(4). Let u(c) = -c + f*c - 3*c. Calculate x(u(p)). 5*p**2 Let x = 12 - 10. Suppose 3*f = 2*f + x. Let c(v) = -7*v**f + 4*v**2 + 2*v**2. Let r(t) = t**2. Determine r(c(a)). a**4 Let y(b) = 2*b**2. Let x(r) = -7*r**2 - 9*r - 9. Let g(i) = 3*i**2 + 4*i + 4. Suppose 14 = -l + 5. Let p(c) = l*g(c) - 4*x(c). Give y(p(o)). 2*o**4 Let o(x) = -11*x + 5. Let n(y) = -34*y + 14. Let t(l) = 5*n(l) - 14*o(l). Let c(v) = 4*v**2 + 0*v - 2*v**2 + 0*v. Give c(t(g)). 512*g**2 Let z(m) = m**2 + 6*m + 7. Let v be z(-5). Let i(o) = -v - 2*o + 2. Let q(c) = -4*c. What is q(i(p))? 8*p Let q(y) = 9*y - 9*y - 2*y**2 - 6*y**2. Let r(p) = -4*p**2. Give q(r(n)). -128*n**4 Let y(h) = h. Let o(i) = -11*i - 7. Let s(l) = 5*l + 3. Let a(x) = 3*o(x) + 7*s(x). Give a(y(j)). 2*j Let i(n) = 2*n**2. Let v(w) be the third derivative of 0 + 0*w + 1/24*w**4 + 0*w**3 - 3*w**2. Give v(i(s)). 2*s**2 Let d(k) = 8*k. Let i(w) = -w**2 + 45*w. Calculate i(d(x)). -64*x**2 + 360*x Let p(b) = 3*b. Let v be ((-6)/15)/((-3)/(-15)). Let o(r) = 2*r. Let g(h) = -2*h. Let t(u) = v*g(u) - o(u). Calculate t(p(l)). 6*l Let y(c) = 7*c**2 - 14*c - 1. Let p(x) = -x. What is p(y(a))? -7*a**2 + 14*a + 1 Let w(p) = -2*p**2. Let h(z) = -44*z + 10 + 6 + 10. Let l(t) = -5*t + 3. Let v be 2/4 + 44/8. Let u(s) = v*h(s) - 52*l(s). Give u(w(c)). 8*c**2 Let v(o) be the second derivative of 0 + 0*o**2 - 5/6*o**3 - 2*o. Let a(r) = -2*r - 6 + 6. Calculate v(a(s)). 10*s Let o(c) be the second derivative of c**5/30 + c**3/6 - 2*c. Let q(f) be the second derivative of o(f). Let u(z) = -5 + 6 - z - 1. Calculate q(u(r)). -4*r Let m(j) = 1391*j. Let z(a) = 9*a. Give z(m(y)). 12519*y Let m(l) be the first derivative of l**3/2 + 4*l + 1. Let s(y) be the first derivative of m(y). Let x(d) = -2*d**2. Calculate x(s(z)). -18*z**2 Let u(q) = q. Let k(b) = -103*b. Calculate k(u(p)). -103*p Let p(j) = 2*j**2. Suppose 4 = 5*q - 3*q. Let z(k) = q*k**2 - 11*k**2 - 5*k**2. Determine z(p(y)). -56*y**4 Let p(z) be the third derivative of -1/24*z**4 + 0 + 0*z + 0*z**3 + z**2. Let v(i) = 5*i. What is v(p(w))? -5*w Let n(w) = 3*w. Let r(t) be the second derivative of -t**3/2 - 3*t. Determine r(n(z)). -9*z Let m(o) = -2*o. Let l(b) be the second derivative of -7*b**4/2 + 9*b. Calculate l(m(h)). -168*h**2 Let g(h) = h - 26. Let v(y) = -4*y**2. Calculate g(v(u)). -4*u**2 - 26 Let s(c) = -152*c. Let n(j) = j**2. Give s(n(v)). -152*v**2 Let d(k) be the second derivative of -k - 1/3*k**3 + 0*k**2 + 0. Let h(y) be the first derivative of -2*y**3/3 + 14. Give h(d(a)). -8*a**2 Let j = -5 - -9. Let r(a) = a**2 - 4*a**2 + j*a**2. Let k(q) = -q**2. Give k(r(d)). -d**4 Let y(n) = -n + 28. Let q(p) = -25*p. Give y(q(v)). 25*v + 28 Let r(k) = 5*k**2. Let g(q) = 107*q. Determine r(g(c)). 57245*c**2 Let g(f) = -7*f**2 + 6. Let l(b) = -20*b**2 + 17. Let r(p) = 17*g(p) - 6*l(p). Let a(c) = 11*c**2. Determine r(a(i)). 121*i**4 Let b(u) = 8862*u. Let m(j) = -4*j**2. What is b(m(k))? -35448*k**2 Let o(p) = p**2. Let g(r) = 59*r**2. Give o(g(k)). 3481*k**4 Let g(i) = 4*i**2. Let r(x) = x**2 + 4. Determine r(g(m)). 16*m**4 + 4 Let i(w) be the first derivative of -w**2 + 2. Let z(o) be the second derivative of o**4/12 + 3*o. What is z(i(k))? 4*k**2 Let g(l) = l**2. Let v(m) = -77*m + 2. What is v(g(k))? -77*k**2 + 2 Let v(n) = -616*n**2. Let p(f) = 5*f. What is v(p(i))? -15400*i**2 Let t(q) = 3*q**2. Let j(u) = u**2 + u + 1. Let i(p) = -p + 18. Let h be i(0). Let y(r) = -8*r**2 - 9*r - 9. Let x(w) = h*j(w) + 2*y(w). Determine x(t(c)). 18*c**4 Let t(i) be the first derivative of 0*i**2 + i**2 - 13 + 17. Let f(l) be the second derivative of -l**3/3 - l. Give f(t(q)). -4*q Let z(o) = -5*o**2 + o**2 - o**2 + 3*o**2. Let r(x) be the first derivative of x**2 - 6. Determine r(z(j)). -4*j**2 Let y(c) = -32*c - 17. Let g(t) = 11*t + 6. Let b(d) = 17*g(d) + 6*y(d). Let f(p) = 85*p**2. Let m(a) = -5*a**2. Let n(x) = -2*f(x) - 35*m(x). Give b(n(q)). -25*q**2 Let b(j) = -2*j. Let i(f) = -f**3 - 5*f**2. Let z be i(-5). Let m(u) be the second derivative of 1/6*u**3 + z - 2*u + 0*u**2. Determine b(m(x)). -2*x Let u(o) = 2*o. Let m(g) = -5*g. Let v(y) = -3*m(y) - 7*u(y). Let p(w) be the second derivative of -1/3*w**3 + 0 + 0*w**2 + 3*w. What is v(p(l))? -2*l Let v(l) = l - 1. Let i(m) = 6*m - 3. Let f(c) = c**2 - 11*c + 8. Let r be f(10). Let y(t) = r*i(t) + 6*v(t). Let g(o) = o - 4*o + 4*o. Give y(g(p)). -6*p Let d(s) be the first derivative of 2*s**3/3 + 1. Let i(m) = 14*m**2 + 4*m**2 - 13*m**2. Calculate i(d(w)). 20*w**4 Let o(b) = 0*b - 2*b**2 + 0*b. Let p(n) = -3*n. Let v(t) = -2*t. Let r(z) = 3*p(z) - 4*v(z). Determine r(o(x)). 2*x**2 Let x(m) = 2*m - 2. Let c be x(5). Suppose 4*f + 0*f = c. Let h(s) = 3*s**f - 5*s**2 + s**2. Let q(b) = b**2. Determine q(h(u)). u**4 Let b(d) = d**2 + d. Let o(v) be the third derivative of v**5/60 + v**4/12 - v**2. Let z(a) = 2*b(a) - o(a). Let g(s) = -s**2. Calculate g(z(h)). -h**4 Let f(x) = x - 1. Suppose -4*i - 4 = 4. Let p(c) = 3*c + 1. Let a be p(-1). Let g(s) = 1. Let n(o) = a*g(o) + i*f(o). Let w(u) = -2*u**2. Determine w(n(z)). -8*z**2 Let g(f) = f**2 + 0 - f + 1 - 2. Let q(s) be the second derivative of s**4/6 - s**3/6 - s**2/2 + 2*s. Let x(n) = g(n) - q(n). Let r(i) = -2*i. What is x(r(m))? -4*m**2 Let d(a) = -2*a. Let q(u) = -24*u + 8. Calculate d(q(c)). 48*c - 16 Let s(b) = -33*b**2. Let a(d) = 10*d**2. Determine s(a(f)). -3300*f**4 Let u(w) be the second derivative of w**5/120 + w**3/3 + 4*w. Let q(l) be the second derivative of u(l). Let t(z) = 3*z. Calculate q(t(k)). 3*k Let n(m) = 2*m**2. Let a(d) = 2*d**2 - 2*d - 2. Let g(b) = -b - 1. Let x(c) = -3*a(c) + 6*g(c). Determine x(n(j)). -24*j**4 Let x(g) = -3*g**2 + 4*g. Let l(r) = 5 + r + 0 - 5. Give x(l(w)). -3*w**2 + 4*w Let u be -1*(-3 + 5) - 30. Let l(o) = -20*o + 32. Let q(c) = 3*c - 5. Let i(f) = u*q(f) - 5*l(f). Let v(t) = t**2. Determine i(v(w)). 4*w**2 Let v(t) = 22*t**2 + 10. Let p(w) = -7*w**2 - 3. Let i = -20 + 10. Let a(u) = i*p(u) - 3*v(u). Let c(s) = 2*s**2. Calculate a(c(d)). 16*d**4 Let m(p) = 7*p**2. Let n(f) = -5*f**2. Give n(m(t)). -245*t**4 Let q(o) = 31*o. Let x(y) = 3*y**2 - 6*y. Determine q(x(r)). 93*r**2 - 186*r Let s(n) be the third derivative of 0*n + 0 + 4*n**2 + 1/24*n**4 + 0*n**3. Let u(b) = 3*b + 10 - 10. What is s(u(y))? 3*y Let i(l) = -5*l - 3. Let d(m) = 12*m + 7. Let n(w) = 3*d(w) + 7*i(w). Let q(g) = 8*g**2. Calculate q(n(v)). 8*v**2 Let w(o) = -8*o. Let m(i) = -i**2 + 7*i + 2. Let f be m(7). Let x(c) = 0*c + 0*c - f*c. Give x(w(z)). 16*z Let t(a) = 4*a. Let i(x) be the second derivative of x**4/6 - x**2/2 - 3*x. Let k(s) = -1. Let p(m) = -i(m) + k(m). Determine p(t(h)). -32*h**2 Let r(o) = 2*o. Let c(z) be the third derivative of -z**4/4 - 3*z**2. What is c(r(g))? -12*g Let s(o) = -o**2. Let h(t) be the first derivative of 0*t**2 + 1/6*t**3 + 2*t - 1. Let y(q) be the first derivative of h(q). Determine y(s(i)). -i**2 Let r(y) be the first derivative of -2*y**3/3 + 6. Let w(p) = 3*p**2 + 4*p**2 - 5*p**2. What is w(r(j))? 8*j**4 Let t(q) be the third derivative of q**4/24 + q**2. Let p(g) = -9*g**2 + 6*g - 6. Let c(x) = x**2 - x + 1. Let l(v) = -6*c(v) - p(v). Calculate t(l(j)). 3*j**2 Let x(p) = -p. Let r = 72 + -68. Let u(k) be the second derivative of 1/6*k**3 + 0*k**2 + 0 + r*k. What is u(x(b))? -b Let a(d) be the third derivative of d**7/5040 + d**5/20 - 2*d**2. Let u(n) be the third derivative of a(n). Let z(x) = -2*x**2. Give u(z(y)). -2*y**2 Let z(r) = -13*r. Let l(v) = 13*v. What is z(l(s))? -169*s Let s(f) be the first de
{ "pile_set_name": "DM Mathematics" }
is the second biggest value? (a) z (b) 2 (c) -2 a Suppose -10*x - 44 = x. What is the second smallest value in -0.1, x, 0.4? -0.1 Let u be (-4 + 284/80)*(-15)/9. Let s = 0.1 + -0.1. Let y = s - -0.2. What is the third biggest value in 4, y, u? y Let p = 374 + -371. Let k = -0.28 - 0.02. Which is the fourth smallest value? (a) 0 (b) p (c) k (d) 1/2 b Suppose 36 = 6*d - 144. Let t be ((-6)/(-14))/(d/20). Which is the third biggest value? (a) -0.1 (b) -3 (c) t b Let r = 315.57 + -315.6. Let a = 65/4 + -16. What is the third smallest value in a, 5, r, 2? 2 Let m = 3.7907 - -0.2093. Suppose 5*o = -5*l, -l + 3 = 4*o + 2*l. Which is the biggest value? (a) o (b) m (c) 1/2 b Let q be (-3)/(15/4) - -1. Let t = -4.765 - 0.235. What is the third biggest value in 5/6, q, t? t Let v be (13/(-65) - 46/(-5))/1. Suppose -5*q + 5*o = -40, 2*q - 3*o - v - 10 = 0. Which is the biggest value? (a) -0.2 (b) 2/7 (c) q (d) -2 c Let f = 0 - 0.2. Let v = -898 + 896. Which is the third smallest value? (a) -1/6 (b) v (c) f a Suppose 0 = 2*s + 8, 76 = 5*p - 9*p + 5*s. Which is the fourth biggest value? (a) p (b) -3 (c) 2/7 (d) 4 a Let k = -57 + 38. Let d = 18.8 + k. What is the biggest value in 2, -3, d? 2 Let u = -3 + 2.6. Let m = u + 0. Let w = 0 - m. Which is the third biggest value? (a) -0.2 (b) -1 (c) w b Let y = 40.43 - -24.49. Let r = 65 - y. Which is the third biggest value? (a) -0.3 (b) r (c) 0.3 a Let g = 2.3 - 0.7. Let n = g - 1.59. Let u = -85/2 + 44. What is the third smallest value in n, -4/7, u? u Let p be ((-6)/(-4))/((-15)/20). Let n be 1/p - 3/2. Let r(x) = -x**3 + 11*x**2 + 11*x + 14. Let o be r(12). Which is the biggest value? (a) o (b) n (c) -0.2 a Let m = 164 - 82. Let p = m - 81. Let u = -0.2 - -0.6. What is the second smallest value in p, u, 2/15? u Let o = 0.5 + -5.5. Let h = 0 + o. Let p be 8/(-15) + (-2)/(-10). Which is the third smallest value? (a) -1 (b) h (c) p c Let r = 95/1769 + -7363813/22997. Let o = r - -320. Which is the smallest value? (a) 3/4 (b) o (c) 1/4 (d) -2 d Let l = 1.21 - 17.21. Which is the second biggest value? (a) -0.2 (b) l (c) 0.3 a Let o be (1 - 594/(-15)) + (-4)/(-10). Let n = 15/7 - 67/28. Which is the third biggest value? (a) -4 (b) o (c) n a Let k = -25 - -28. Let l = k - 2.7. Suppose -z = -1 - 0. What is the biggest value in 5, l, z? 5 Let r = -149 - -106. Let t = -38 - r. Which is the third smallest value? (a) 0.4 (b) t (c) -1/4 b Let x be (0 - 1)/(3/15). Let f = 2 - -24. Let o = f + -27. What is the smallest value in 4, x, o? x Suppose 0 = j - 8 + 14. Let d be (-6)/8*j/(-18). Which is the second biggest value? (a) d (b) -4 (c) 4/7 a Let b = -133 - -131.8. Let h = b + 1.28. What is the biggest value in 1, -5, h? 1 Let r = -25.5 - -24.5. What is the second smallest value in -5, -4/7, 0, r? r Let z = -1230 + 8612/7. Let s = -26/5 + 27/5. Which is the second biggest value? (a) z (b) -1 (c) s (d) 5 a Let m = 248 - 247.7. What is the smallest value in m, -5, -2/11, -20? -20 Let f = 15.11 - 13.11. Let v = 0.1 - 0.3. What is the fourth smallest value in v, f, 1/2, 0.12? f Let g be 3*2/(-10) + (-364)/(-65). Suppose 3*d = 4*y - 24, g*d + 0*y + 11 = -3*y. Let t = -181/10 - -18. What is the biggest value in t, d, -2? t Let o = 1.0339 + -0.0059. Let z = -0.028 + o. What is the third biggest value in -5, 4, z? -5 Let m = -90 + 90.81. Let p = 0.19 + m. Which is the second smallest value? (a) 0.4 (b) p (c) 2/15 a Let x = 273 - 214. What is the biggest value in -0.2, 0.2, x? x Let k = -0.052 + 0.052. Let g = 159.8 - 160. Which is the third smallest value? (a) k (b) 1 (c) g b Let n = -469/2 + 237. Let a = 0.1 + -0.2. What is the third smallest value in -1/2, a, n? n Let t(x) = 14*x**2 + x - 1. Let m be t(1). Let h = -14 + m. Let u(p) = -p**2 + p - 4. Let s be u(h). What is the third biggest value in 0.1, s, -0.4? s Let o = 760.5 + -760. Which is the fourth smallest value? (a) -11 (b) 2 (c) -3 (d) o b Let h = -0.9 - 3.1. Let w be ((-6)/(-18))/((-1)/15). What is the second biggest value in w, h, -2? h Let o = 3435.3 - 3435. Suppose -2*j + 0 + 4 = 0. Which is the biggest value? (a) j (b) o (c) -1/9 a Suppose 13 = 5*r - 2. Let t(b) = 4*b - r*b + 0*b + 11 - 5*b. Let m be t(4). What is the second biggest value in m, 0.5, 6? 0.5 Let y = -10 - 8. Let c be (-1)/5 + y/(-65). Suppose 2*k - 4 - 2 = -3*d, 0 = 2*k. What is the third smallest value in 0.3, d, c? d Let s = 469/1828 + -3/457. Let n be ((-3)/(-6))/(1/(-20)). What is the smallest value in n, s, -0.2, -0.3? n Let n = -2.1 - -5.1. Let j be (-12*39/6)/(-14) + -5. What is the second biggest value in -2/7, -3/4, j, n? j Let p(t) = 27*t + 9 + 1 - 32*t. Let x be p(5). Let n = x - -13. What is the smallest value in n, -0.4, 1? n Let s = 14.1 - 136.1. Let y = s + 118. Which is the fourth smallest value? (a) -3 (b) 4 (c) y (d) 2/5 b Suppose -41 - 3 = -2*h. Let l = h - 23. Let i be l/(-4)*16/(-6). What is the smallest value in i, -2, 2/9? -2 Let v = 306 + -611/2. Which is the second smallest value? (a) -1 (b) -0.3 (c) v (d) -0.1 b Let d = 18199 - 18194. Let s = 13/20 + 1/60. Let i = 5 + -5.3. What is the second smallest value in i, s, d? s Let m = -26 + 21. Let h = 37.7 + -38. Which is the biggest value? (a) h (b) m (c) 2 (d) 4/3 c Let x = -10 + 4. Let m(k) = k**3 + 8*k**2 + k + 7. Let g be m(-8). Which is the smallest value? (a) g (b) -2/5 (c) x c Let l = 0 - -1/6. Let i = 14396 - 14395.9. What is the fourth smallest value in 0.5, l, 1/7, i? 0.5 Let p = 49 + -60. Which is the fourth biggest value? (a) -3/8 (b) -1 (c) -1/6 (d) p d Let b = -0.001 - -0.211. Let g = b + -0.01. Let k(u) = -u**3 + 7*u**2 + 7*u + 4. Let a be k(8). What is the biggest value in 0.5, a, g? 0.5 Let l = -572 - -547.3. Let g = l + 25. What is the fourth smallest value in 2, 0, g, -0.4? 2 Let l = -1.7 - -2. Let h = 795.71 + -795.7. What is the third biggest value in h, -1, -0.3, l? -0.3 Let f(s) = 10*s**3 + 2*s**2 + 7*s + 2. Let n be f(-2). Let v = -87 - n. Let g = 1 - 0.7. Which is the third smallest value? (a) v (b) 2/3 (c) g b Let u(o) = -o - 1. Let d(r) = 8*r + 1. Let k(q) = d(q) + 6*u(q). Let w be k(4). What is the third biggest value in -5, -9, w? -9 Let q = 0 + -0.2. Let n = -2.6 - -3. Let r = -0.18 + 0.68. Which is the biggest value? (a) n (b) r (c) q b Suppose -6*j + 4*j = 0. Suppose -y + 2*z - z + 12 = 0, 3*y + 2*z - 11 = j. Suppose -6*r = -y*r. Which is the third smallest value? (a) r (b) 1 (c) 5 c Let l = -229.4 - -225. What is the fourth biggest value in -6/7, -1/2, l, 1/2? l Suppose 6*t + 6 = 4*t. Let j be (-17)/(-33) - t/(-9). Let f = 3.37 - -0.63. Which is the second biggest value? (a) 1 (b) j (c) f a Let n(y) = 621*y**2 - 2*y - 3. Let p be n(-5). Let l = -125215/8 + p. Let w = l + 120. What is the second biggest value in -1, w, -1/5? -1/5 Let c = -0.16 + 2.16. Let h = -0.19 + -0.21. Let l = h - -0.7. What is the smallest value in -0.3, l, c? -0.3 Let u = -104 + 101. Let m = 3263/32 + -102. Let g = -53/352 + m. Which is the biggest value? (a) -2 (b) g (c) u b Let p = 0.11 - -0.18. Which is the third biggest value? (a) -3 (b) p (c) -1/7 a Suppose -5*z - 29 - 21 = 0. Let y = 65 + -263/4. What is the second biggest value in z, y, -5? -5 Let n be ((-2)/(-8))/(7/8). Let j(m) = -m**2 + 36*m + 465. Let k be j(46). Which is the fourth biggest value? (a) 0.2 (b) k (c) n (d) 1 a Let n = -0.5 - -0.3. Let y = -1 + 1. Let c be ((6/(-21))/(-1))/((-25)/(-35)). What is the second smallest value in c, y, n? y Let l = 142 + -141. What is the smallest value in 1/2, -3, l? -3 Suppose -3*l + 24 = -7*l - 4*u, 4*u = -5*l - 28. Let r = -74 + 76. What is the third smallest value in l, -2/3, r, 4? r Let q(k) = -k**3 + 10*k**2 - 7. Let v be q(10). Let j be ((-2)/12)/((-2)/18). Let w = 1.4 - 1.8. Which is the third smallest value? (a) w (b) v (c) j c Let l = 1 - 1.5. What is the fourth smallest value in l, 19, -9, -4? 19 Let k(v) = -v**2 + 4*v + 4. Let o = -38 + 43. Let c be k(o). What is the smallest value in c, 0.1, 0.3, -2? -2 Let s be 224 - 226 - (-2 - 1). What is the third biggest value in -0.4, 11/29, s? -0.4 Let j = -45 + 32. Let w = -12.9 - j. Let z = -0.3 - -2.3. Which is the third biggest value? (a) w (b) 0.2
{ "pile_set_name": "DM Mathematics" }
*4/3 + 17*i**2. Find the third derivative of a(n) wrt n. -444 Suppose -3*q + k = 3, -k = -q - 4*q - 3. Suppose b = -q + 4. Find the second derivative of -2*j - 3*j**b + 3*j**4 - 2*j**5 wrt j. -40*j**3 Let j be (-4)/1*(-3)/6. Let h be (12/(1 + 2))/j. What is the third derivative of f**4 + 3 - 3 + 2*f**h wrt f? 24*f Let h be 5 + (-3 + 1 - -3). What is the third derivative of 2*y**6 + 3*y**6 + 3*y**2 - 7*y**h wrt y? -240*y**3 Suppose 3*k = 4*k - 5. Find the third derivative of -2*w**2 + 0*w**k + 4*w**5 - 3*w**5 wrt w. 60*w**2 Let v(a) be the second derivative of a**6/5 - 4*a**3/3 + 10*a. Find the second derivative of v(p) wrt p. 72*p**2 Let t = 16 + -10. Let f(j) = j**4 - 11. Let h(p) = 2*p**4 - 10. Let k(v) = t*h(v) - 5*f(v). What is the derivative of k(i) wrt i? 28*i**3 Let v(o) = 2*o**3 + o**2 - 2*o + 1. Let n be v(1). Suppose n*u - 5*u = 0. What is the second derivative of u*b - b - b + b**3 wrt b? 6*b Let o = 8 + -6. Let c be 1/(-5) - 1/(-5). Find the first derivative of -4*y**2 - 1 + c + 0 + 6*y**o wrt y. 4*y Let x(q) be the first derivative of -5*q**6/6 - 7*q**2/2 + 5. What is the second derivative of x(w) wrt w? -100*w**3 Let r(w) be the second derivative of -3*w**5/20 + w**4/6 - 4*w. What is the third derivative of r(g) wrt g? -18 Let j(g) be the third derivative of 1/30*g**6 + 0*g**5 + 0*g + 0 + 4*g**2 + 0*g**3 + 1/8*g**4. Find the second derivative of j(r) wrt r. 24*r Let q(j) = -4*j**3 + 4. Let s(o) = o - 1. Let g(p) = q(p) + 4*s(p). Find the second derivative of g(i) wrt i. -24*i Let c(j) = j**3 + 6*j**2 + 4*j - 1. Let b be c(-5). Find the second derivative of -3*i**4 - i + i**4 - 2*i - 3*i**b wrt i. -60*i**2 Find the first derivative of 58*t - 171*t + 57*t + 55 + 57*t wrt t. 1 Let s(q) = -4*q**3 - 32*q**2 - 3*q - 70. Let r(m) = -5*m**3 - 33*m**2 - 4*m - 71. Let b(f) = -3*r(f) + 4*s(f). What is the derivative of b(c) wrt c? -3*c**2 - 58*c Let z(l) be the third derivative of -l**8/56 + l**5/30 + 7*l**2. Find the third derivative of z(a) wrt a. -360*a**2 Let f be 2/5 - 26/(-10). Differentiate -4*l**3 + f*l**3 + 5 + 4*l**3 - 2*l**3 wrt l. 3*l**2 Suppose h - 4*f - 22 = 0, 7*h - 2*f = 3*h + 18. Find the second derivative of 4*d**2 - 3*d**h - 7*d + 4*d wrt d. 2 What is the derivative of -4*v**2 + 11 + 85*v - 85*v - 6*v**2 wrt v? -20*v Let g(p) be the third derivative of p**4/24 - 3*p**3/2 + p**2. Let q be g(9). Find the second derivative of 3*y**5 - y**5 + q*y**5 + 2*y wrt y. 40*y**3 Let t(x) = -x**3 + 11*x**2 + 6. Let r be t(11). Let v be ((-3)/r)/(2/(-16)). Find the third derivative of -2*u**2 - u + u + u**6 - v*u**6 wrt u. -360*u**3 Suppose -5*t = -5 - 35. What is the third derivative of 6 - 5*y**5 - 6 + t*y**2 wrt y? -300*y**2 Suppose -2*y = l + 8, 4*l = l + 5*y + 31. Let h(f) = -f**3 - 8*f**2 + 9*f. Let q be h(-9). Find the third derivative of k**6 + q*k**6 + 0*k**2 - 2*k**l wrt k. 120*k**3 What is the first derivative of 2*f - 4*f - 219 + 235 + 38*f**4 - 5*f**4 wrt f? 132*f**3 - 2 Let z(h) = -h**3 - 12*h**2 - 11*h + 11. Let q be z(-11). Find the second derivative of -6*l - 8*l**2 + q*l - 11*l wrt l. -16 Let o(v) be the first derivative of v**7/14 + v**4/4 - 3*v - 2. Let q(b) be the first derivative of o(b). What is the third derivative of q(u) wrt u? 180*u**2 Let n(f) be the second derivative of -f**6/5 - f**3/6 + 3*f. What is the second derivative of n(v) wrt v? -72*v**2 Suppose 0 = -4*f + 4*c + 15 + 29, -f = c - 5. Find the third derivative of -45*r**4 + 45*r**4 - f*r**5 + 8*r**2 wrt r. -480*r**2 Find the third derivative of b**3 + 7*b**3 - 8*b**3 - 18*b**2 + 14*b**4 wrt b. 336*b What is the second derivative of 0*q**4 + q**4 - 4*q - 2*q**4 wrt q? -12*q**2 Let i(o) be the first derivative of -o**4/4 - 4*o**3/3 + 2*o**2 - 3*o - 3. Let m be i(-5). Find the third derivative of -h**2 - 3*h**5 + m*h**5 - 3*h**2 wrt h. -60*h**2 Let m(n) = -18*n**2 + 17*n - 4. Let j(w) = -17*w**2 + 16*w - 5. Let r(i) = -4*j(i) + 5*m(i). Find the second derivative of r(t) wrt t. -44 Let n be (-4)/(-12) - (-16)/6. Find the first derivative of -2*s**4 + 1 + 0*s**3 + 0*s**n wrt s. -8*s**3 Let x(u) = -u**3 - u**2. Let q(k) = 5 - 4*k**2 - 21*k**3 + 12*k**3 + 15*k**3. Let t(d) = q(d) - 4*x(d). What is the derivative of t(y) wrt y? 30*y**2 Find the second derivative of v - 4*v + v - 9*v**4 + v wrt v. -108*v**2 Let a(l) be the second derivative of -1/6*l**3 + 5*l - 3*l**2 + 0. Differentiate a(u) wrt u. -1 What is the first derivative of 6 + 23*u**2 - 23*u**2 + 8*u**3 wrt u? 24*u**2 Find the second derivative of -8*m**2 + 5*m**2 - 7*m + 9*m**2 - 26*m**2 wrt m. -40 Let i(b) be the third derivative of b**8/420 + b**5/30 - 2*b**3/3 - 4*b**2. Let s(t) be the first derivative of i(t). Find the second derivative of s(o) wrt o. 48*o**2 Let t(s) be the second derivative of -2*s**4/3 - 2*s**2 + 36*s. What is the first derivative of t(c) wrt c? -16*c Suppose -4*y + 3*y + 2*f = -9, 0 = -5*y - 4*f - 11. Suppose -3*d - 1 + 3 = 5*n, -3*n - d + 2 = 0. What is the first derivative of -y + 2*s - 4 - n + 3 wrt s? 2 Let c(f) be the first derivative of f**5/4 + 5*f**3/6 + 4*f + 3. Let k(w) be the first derivative of c(w). What is the second derivative of k(v) wrt v? 30*v Let t(w) = -4 + 2 - 1 - 14*w + 1. Let u(m) = -m. Let n(k) = -t(k) + 12*u(k). Differentiate n(l) wrt l. 2 Let w = 22 + -21. Let v(j) be the first derivative of 0*j**2 + j - 2/3*j**3 + w. What is the derivative of v(p) wrt p? -4*p Let i = 6 + -3. What is the third derivative of -3*l + i*l - 4*l**2 + 5*l**4 wrt l? 120*l Let k(c) be the third derivative of c**7/105 - 5*c**4/24 + c**2. Find the second derivative of k(v) wrt v. 24*v**2 Suppose 2*u = a + 4 + 5, 0 = -5*u - 2*a + 9. Let p = 8 - u. What is the derivative of 3 - n - 2*n**3 - p*n + 6*n wrt n? -6*n**2 Differentiate 46*k - 48*k + 6 + 69*k with respect to k. 67 What is the third derivative of 15*f**2 + 10*f**6 + f**6 + 7*f**6 + 6*f**2 wrt f? 2160*f**3 What is the third derivative of -44*n**2 + 4*n**2 - 31*n**4 - 19*n**4 - 8*n**2 wrt n? -1200*n Let c(j) be the first derivative of -j**9/432 - j**5/120 + 2*j**3 - 5. Let d(u) be the third derivative of c(u). What is the second derivative of d(s) wrt s? -140*s**3 Let h be (20/(-8))/((-3)/6). Differentiate h*o + 0 + 0 - 1 - 2*o with respect to o. 3 Let p(w) = w**2 + 5*w + 2. Let d be p(-5). Find the third derivative of -2*m**d - 2*m**4 + 7*m - 7*m wrt m. -48*m Suppose 0 = 5*q - 19 - 6. Suppose j = 4*p - q - 4, -5*j = 5. Find the third derivative of -s**6 + 5 - 5 - p*s**2 wrt s. -120*s**3 Let r(z) be the third derivative of 5*z**5/12 + 10*z**3/3 + 23*z**2. What is the first derivative of r(m) wrt m? 50*m Suppose 3*h + 0 + 3 = 0. Let f be (-2 - h) + 5 + -2. Find the second derivative of 2*k + k + k**4 - f*k wrt k. 12*k**2 What is the second derivative of -65*o - 6 - 5*o**4 + 66*o + 6 wrt o? -60*o**2 Let i = 16 + -10. Let a = i - 4. Find the second derivative of -5*k**5 + k**5 - 2*k**5 + a*k + 4*k**5 wrt k. -40*k**3 Suppose -b - 2*u + 8 = 2*b, -u = 3*b - 7. Find the first derivative of 0*q**2 + 4*q**2 + 0*q**2 - 6 + b wrt q. 8*q Let l(p) = -p**3 + p**2 + p - 1. Let a(j) = -7*j**4 - j**3 + 9*j**2 + j - 1. Let h(x) = a(x) - l(x). Find the third derivative of h(y) wrt y. -168*y Let r(z) be the second derivative of 13*z**6/30 + 5*z**2/2 - 17*z. Differentiate r(h) wrt h. 52*h**3 Let z(x) = x**3 + 2*x**2 + 3*x + 3. Let l be z(-2). Let t be 2/(-15)*l*10. Find the third derivative of -2*i**t + 2*i**2 + 2*i**3 - 2*i**3 wrt i. -48*i Let u(p) be the first derivative of -11*p**3/3 + 31*p + 23. Differentiate u(q) wrt q. -22*q Find the third derivative of -22*r**2 + 18*r**5 + 6*r**2 + 11*r**2 + 36*r**2 wrt r. 1080*r**2 Let o(b) be the first derivative of 4*b - 6 - 3/2*b**2. What is the derivative of o(f) wrt f? -3 Let d(x) be the third derivative of 0*x**5 - x**2 + 0*x**4 + 1/210*x**7 + 0 + 0*x**6 - 7/6*x**3 + 0*x. Find the first derivative of d(p) wrt p. 4*p**3 Let x = 0 + 0. Differentiate 2*h - h + 1 + x*h wrt h. 1 Let w(y) = y**5 - y**4 - y**2. Let p(u) = 10*u**5 + 8*u**4 + 6*u**2 - 2*u + 38. Let o(c) = -p(c) - 8*w(c). Find the second derivative of o(k) wrt k. -360*k**3 + 4 Suppose 0 = -2*v - 13 + 9. Let s be (2 - (-12)/(-2))/v. Find the third derivative of p**4 - p**4 - 3*p**4 - p**s wrt p. -72*p Let a(z) = 13*z**4 - 5*z**3 + 5*z
{ "pile_set_name": "DM Mathematics" }
vide 60552? True Is 411743 a multiple of 593? False Is 12 a factor of 555805? False Does 3 divide 1999099? False Is 271660 a multiple of 170? True Does 8 divide 122720? True Is 43 a factor of 18606? False Is 20985747 a multiple of 19? True Is 195 a factor of 612611? False Does 69 divide 2438144? False Does 524 divide 198596? True Is 7 a factor of 301195? False Does 58 divide 25752? True Does 1875 divide 6740625? True Is 2782853 a multiple of 101? True Does 262 divide 2023646? False Is 76 a factor of 3464916? True Is 50 a factor of 105755? False Does 4 divide 441860? True Is 439 a factor of 3119534? True Does 8 divide 50609? False Is 3253698 a multiple of 34? True Is 9 a factor of 61506? True Does 4 divide 81996? True Is 7 a factor of 1710386? False Is 13 a factor of 10421894? False Does 36 divide 5087232? True Is 12 a factor of 512176? False Is 113 a factor of 7121712? True Does 11 divide 33594? True Is 518976 a multiple of 45? False Is 106 a factor of 5159913? False Is 461 a factor of 63602? False Is 26 a factor of 114192? True Is 56 a factor of 265384? True Is 24 a factor of 1161432? True Is 5704933 a multiple of 1248? False Is 989871 a multiple of 151? False Is 100419 a multiple of 11? True Is 208 a factor of 388545? False Does 210 divide 11614? False Does 22 divide 66664? False Is 25263 a multiple of 7? True Is 201794 a multiple of 41? False Does 126 divide 487368? True Is 20010 a multiple of 5? True Is 400809 a multiple of 271? True Does 37 divide 131609? True Does 386 divide 2285120? True Is 21 a factor of 622330? False Does 35 divide 857815? True Is 35217 a multiple of 21? True Is 316 a factor of 352024? True Does 7 divide 10627025? False Does 73 divide 37663? False Is 11 a factor of 546755? True Is 10680490 a multiple of 5? True Is 21255250 a multiple of 10? True Does 44 divide 589780? False Is 543 a factor of 5460951? True Is 3 a factor of 39537? True Does 75 divide 5757375? True Is 8483515 a multiple of 22? False Does 86 divide 1776158? True Is 150776 a multiple of 47? True Is 28 a factor of 1271446? False Is 5896805 a multiple of 59? False Is 938584 a multiple of 1092? False Does 34 divide 805256? True Does 471 divide 413538? True Is 335671 a multiple of 53? False Is 119926 a multiple of 61? True Does 8 divide 40992? True Is 18279342 a multiple of 23? True Is 14779 a multiple of 17? False Is 15 a factor of 21762870? True Is 32 a factor of 8826740? False Is 371412 a multiple of 6? True Does 130 divide 1579906? False Is 42 a factor of 1296254? False Is 570 a factor of 483930? True Does 286 divide 74932? True Is 508265 even? False Is 34816 a multiple of 17? True Is 4333 even? False Is 55 a factor of 4185590? False Does 90 divide 1645650? True Is 268 a factor of 469867? False Does 278 divide 1777810? True Is 1683361 a multiple of 12? False Is 822889 a multiple of 28? False Is 29109 a multiple of 46? False Is 325 a multiple of 16? False Is 559550 a multiple of 62? True Does 249 divide 1146894? True Does 30 divide 3140850? True Is 13 a factor of 5065098? False Is 152950 a multiple of 230? True Is 4 a factor of 22896? True Does 6 divide 700582? False Does 79 divide 296013? True Is 2014592 a multiple of 1079? False Is 124 a factor of 10398? False Is 25 a factor of 573725? True Does 10 divide 412143? False Is 3166633 a multiple of 24? False Does 31 divide 566796? False Does 47 divide 270861? True Does 142 divide 720508? True Does 21 divide 124090? False Is 4401492 a multiple of 127? False Does 55 divide 3612879? False Is 4906459 a multiple of 9? False Is 34 a factor of 446386? True Is 21400 a multiple of 100? True Is 8 a factor of 66752? True Is 589661 a multiple of 23? False Does 143 divide 166595? True Is 7 a factor of 156800? True Does 1473 divide 14781755? False Is 756808 a multiple of 10? False Is 45582 a multiple of 8? False Is 445830 a multiple of 165? True Is 30 a factor of 463470? True Is 5 a factor of 4610? True Does 380 divide 4806240? True Is 8632668 a multiple of 204? True Does 20 divide 429700? True Does 12 divide 219444? True Does 87 divide 3675837? True Is 95948 a multiple of 332? True Is 15 a factor of 436293? False Is 7 a factor of 8918? True Is 28404 a multiple of 8? False Is 27 a factor of 2624810? False Does 83 divide 18014? False Is 32048 a multiple of 3? False Is 555936 a multiple of 97? False Is 894999 a multiple of 15? False Is 67 a factor of 17508? False Is 12768156 a multiple of 7? False Is 2924670 a multiple of 15? True Does 9 divide 37871? False Is 33 a factor of 1154461? False Does 17 divide 1476144? True Is 73726 a multiple of 193? True Is 8 a factor of 850152? True Is 9 a factor of 7110864? True Does 5 divide 305039? False Is 1336170 a multiple of 6? True Does 55 divide 44784? False Is 746 a factor of 561738? True Is 1153 a factor of 13384865? False Is 40 a factor of 6081869? False Is 58349 a multiple of 83? True Does 3 divide 1604708? False Is 28800 a multiple of 225? True Is 736030 a multiple of 120? False Is 752 a factor of 11391723? False Is 29 a factor of 355598? True Does 64 divide 161792? True Does 40 divide 16528? False Does 23 divide 2572918? True Is 18 a factor of 23514? False Is 3398720 a multiple of 10? True Does 122 divide 71622? False Does 206 divide 233977? False Does 59 divide 1032220? False Does 9 divide 1494? True Does 8 divide 1200? True Is 21200 a multiple of 100? True Does 77 divide 7308301? True Is 2 a factor of 313048? True Does 15 divide 220395? True Is 3165717 a multiple of 183? True Is 10 a factor of 1695780? True Is 7 a factor of 754079? False Is 440 a factor of 11175307? False Is 35035 a multiple of 5? True Does 17 divide 11207284? True Does 150 divide 270750? True Is 494322 a multiple of 140? False Is 2792471 a multiple of 1853? True Is 40 a factor of 32151? False Is 52398 a multiple of 246? True Does 27 divide 222669? True Does 254 divide 434931? False Is 15 a factor of 52590? True Is 613 a factor of 100532? True Does 51 divide 27302? False Is 135913 a multiple of 14? False Is 60 a factor of 564600? True Is 14 a factor of 570276? True Is 34 a factor of 352240? True Is 1617110 a multiple of 122? True Is 1087347 a multiple of 186? False Is 369 a factor of 161253? True Is 596 a factor of 1220852? False Does 27 divide 144990? True Is 1248 a factor of 1110864? False Is 3692961 a multiple of 51? True Is 104 a factor of 117230? False Is 164961 a multiple of 500? False Is 44490 a multiple of 5? True Is 9430675 a multiple of 6? False Does 186 divide 1575931? False Does 179 divide 198975? False Is 1157301 a multiple of 6? False Does 18 divide 81270? True Is 990 a factor of 3111570? True Is 944634 a multiple of 16? False Is 16248 a multiple of 28? False Does 6 divide 17063326? False Is 408 a factor of 831829? False Is 183 a factor of 14765904? True Is 41678 a multiple of 14? True Is 45210 a multiple of 137? True Does 256 divide 3035648? True Is 3 a factor of 137176? False Is 1553556 a multiple of 12? True Is 92915 a multiple of 32? False Is 5579 even? False Is 173352 a multiple of 70? False Is 196 a factor of 4469799? False Is 2019501 a multiple of 33? True Is 35 a factor of 30485? True Is 558762 a multiple of 111? False Is 118 a factor of 259510? False Is 38918 a multiple of 22? True Is 33645 a multiple of 412? False Is 184 a factor of 775744? True Does 611 divide 4193075? False Is 3622684 a multiple of 23? True Does 18 divide 4944415? False Is 168210 a multiple of 38? False Does 2 divide 422176? True Is 882452 a multiple of 53? False Is 151 a factor of 399999? True Is 30 a factor of 8718? False Is 19002 a multiple of 5? False Is 16562457 a multiple of 74? False Is 339 a factor of 387477? True Is 10096567 a multiple of 13? True Does 37 divide 5817754? False Is 3303263 a multiple of 79? False Does 31 divide 2587123? False Is 36110 a multiple of 5? True Is 34 a factor of 5295908? True Is 4210581 a multiple of 743? True Is 227370 a multiple of 30? True Does 78 divide 78755? False Is 7927150 a multiple of 11? True Is 60 a factor of 2499660? True Is 21974106 a multiple of 231? True Is 336 a factor of 731136? True Is 499 a factor of 1083244? False Does 308 divide 43233? False Does 62 divide 1468222? True Is 25 a factor of 1849650? True Is 75 a factor of 62114? False Is 773437 a multiple of 3
{ "pile_set_name": "DM Mathematics" }
he third smallest value in y, -3/4, o? o Let u = 5815 - 5956. Which is the second smallest value? (a) -0.05 (b) u (c) 2 a Let q(w) = 52*w - 9. Let p be q(-4). Let z = -871/4 - p. Which is the third biggest value? (a) 2/19 (b) 1 (c) 6 (d) z a Let q = 559.4 + -292.8. Let x = -267 + q. Suppose -5*w + 25 = -0*w. What is the biggest value in 2/7, w, x, -5? w Let q be (-1)/3*(-3)/(-2). Let m = 1.1 + 0.9. Let r be (-2)/10 - (-80)/150. Which is the smallest value? (a) q (b) -2 (c) r (d) m b Let r = -140.5 + 140. Let i = 394.88 - 395. What is the third biggest value in -4, r, i? -4 Let n be (-4)/(-42) - 36/(-63). Let i = -138 - -142. Suppose -6*l = -i*l + 2. What is the third biggest value in -13, l, n? -13 Let i = 2.9 - 3. Let c = -0.009 - -0.181. Let v = 0.128 + c. What is the smallest value in v, i, 1? i Let n = 3359.78 + -3359. Let x = 70.42 + -71. Let p = n + x. Which is the second smallest value? (a) -1 (b) p (c) -4 (d) 0 a Suppose -9*y + 11 = -7*y + 3*a, 4*y + 2*a - 10 = 0. What is the fifth smallest value in 0.2, -3/4, y, 2/3, -13/5? y Let m(g) = -g**2 + 464*g - 4542. Let r be m(10). What is the third smallest value in 0.032, r, -3, -1/3, -1/4? -1/3 Let u = -0.038 - -17.038. Let a = 779 + -795.85. Let n = a + u. What is the third smallest value in n, 0.4, 0.3? 0.4 Let l = 0.1087 - 0.0087. Suppose -10 = y - 2*y. What is the third smallest value in -5, y, l? y Let o = -82 + 493/6. Let v = -32.7 - -216.7. Let f = v - 183. Which is the second smallest value? (a) -2/11 (b) f (c) o (d) -2 a Let r be (-1)/10*(-5)/2. Let p = 352305 + -352306. Which is the second smallest value? (a) r (b) -1/5 (c) 3 (d) p b Let g = -363917/364 + 3999/4. What is the third biggest value in g, -3/22, -3? -3 Let h = 3953 + -3963. What is the second smallest value in 0.1, -3, 2/11, h? -3 Let n = -54.54 - -58.54. What is the fourth smallest value in -4.41, -0.2, n, -4? n Let x = 32.3 - 37.3. Let p = 244/3 + -81. What is the smallest value in 10, x, p? x Let n = 4.493 + -4.293. Which is the biggest value? (a) 13 (b) n (c) 2/5 (d) -2/5 (e) -0.1 a Let l = -265 + 184. Let h = l - -76. Let d be 9/(-11) - h/5. Which is the second smallest value? (a) d (b) -5 (c) -2.4 c Let h = -3.021 + 0.021. Let o(n) = 17*n - 334. Let b be o(20). What is the fourth biggest value in 0, 4, b, h? h Let k be (-9)/42*-2 + (-696)/(-140) + -5. Suppose 6 = -2*p, -3*s - 5*p - 27 = -0*p. Which is the second smallest value? (a) s (b) -0.2 (c) k b Let u = 30985/6 - 5164. Let o = 0.7 - 3.7. Which is the second biggest value? (a) u (b) -2 (c) 2/3 (d) o a Let c = -18460 - -18478. Let g = -20.02 - -0.02. Let h = c + g. What is the smallest value in h, 0.11, 0.1? h Let n be 1*((-122)/(-8) - (-22)/(-88)). Suppose -14*l + 15*l - 5 = -3*y, 5*y = 5*l + n. Which is the second biggest value? (a) l (b) 21 (c) 0.4 c Suppose 0 = 4*h + 2*s + 6, -3*h - 8 = 4*s + 9. Let v = 0.011 - 0.131. Let o = 0.42 + v. What is the second smallest value in -5, o, 5, h? o Let v be (-14)/4 + 1 + 1. Let j be (-186)/45 - (-18)/135. Let k be j*(-3)/(-30)*5/(-4). Which is the second biggest value? (a) k (b) 4 (c) v (d) 3 d Let o be (-3 - -5) + (-3)/(-36)*-6. Suppose -2*v + 6 = -4*y, 6*y = 2*v + y - 7. Which is the second biggest value? (a) -1 (b) o (c) -6 (d) v d Let p = -46/11 - 287/55. Let s = 621/65 + p. Let i = -54.9 + 51.9. Which is the fourth smallest value? (a) i (b) 4 (c) 3 (d) s b Let h = -15938 - -15937.6. What is the fifth smallest value in h, -3, -1/2, 0, -4.9? 0 Let f = 0.2 + -0.3. Suppose -2 = -4*l + y, 0 = 4*l + 3*y + 2*y + 10. Let m = 2/3 + l. Which is the second smallest value? (a) m (b) f (c) 0.1 c Let o be (0 - -6) + -26 + (-8 - -30). Let n be 0/1 - (-4)/(-18). Which is the biggest value? (a) 4/9 (b) n (c) 1 (d) o d Let s = 8692 + -8734. Let y = 5 + -10. What is the second smallest value in s, -1, y, -4? y Let f be (101 - 92) + -6 + -2. Let z = 6 + -8. Which is the third smallest value? (a) -1/3 (b) f (c) 5 (d) z b Let u be 4596/(-720) - -7 - (-6)/(-135)*-3. What is the smallest value in u, 1352, 0.5, 2/11? 2/11 Let f = -165 - -46. Let t = 124 + f. Which is the third smallest value? (a) -5 (b) t (c) -2/27 b Let o be 14 + -10 - (-1 - 1). Let h be 9/2 - o/12. Let x = -216 + 212. Which is the second biggest value? (a) -0.5 (b) -3/4 (c) x (d) h a Let w = -8.851 - -24.851. Which is the biggest value? (a) 5 (b) 3/4 (c) w (d) -15 c Let u = 0.9 - 16.9. Let z = u - -19. Let y = -135 + 674/5. What is the third smallest value in -2/13, y, z? z Let y be ((-1)/18)/(11/(-88)). Let j = -682 + 677. Which is the second biggest value? (a) j (b) y (c) 1/3 (d) -34 c Let x = -3009 - -3005. Let j = -334/1031 - -225937/204138. Let r = j - 27/22. Which is the second biggest value? (a) 1 (b) r (c) x (d) 5 a Suppose -x + 4 = -4*n, 11*n - 14*n + 7 = -2*x. Let s be 4/(-3) - (x + 189/28). What is the second smallest value in -3/20, 0.2, s? s Let q(v) = -3 + 2 - 11 + 6 + 5*v. Let w be q(0). Let l be (2/w)/(-1 + 4/(-12)). Which is the second biggest value? (a) 0.1 (b) -1/2 (c) l a Let d = -141.766 - -142. Let b = -0.134 + d. What is the second biggest value in -0.5, 2, b, 0.03? b Let l(j) = 704*j - 5634. Let i be l(8). Which is the fourth biggest value? (a) 4/611 (b) i (c) -3/8 (d) 5 b Let b = 557.66 - 561. Let l = -1.66 + b. What is the fourth smallest value in 5, 2, l, 6? 6 Let k = 2407.2 - 2407. Let n(c) = -c**2 + c - 3. Let a be n(0). Let b(q) = -q**2 - 9*q + 11. Let i be b(-10). What is the third smallest value in a, k, i? i Let t be -1*1*2/65. Let v = 138778/5 + -27755. What is the smallest value in t, 4/3, v? t Suppose r = -s - 4, -s = 4*r - 0*s + 10. Let m be (((-288)/(-56))/12)/(12/21). Which is the second biggest value? (a) 0.5 (b) r (c) m (d) 0.45 a Let f(d) be the third derivative of d**5/60 + 7*d**4/24 + 7*d**3/6 - 5*d**2 + 10. Let q be f(-5). What is the fourth biggest value in -0.2, -3/5, q, -0.035? q Let l be (-3 - (-1208)/408)*3 + 496/170. Which is the second smallest value? (a) 9 (b) l (c) 2 b Let p be 1 + 2 + 3 + -3. Let a(z) = -246*z + 981. Let j be a(4). What is the biggest value in -18/11, p, j? p Let g = -92.41 + 92.11. Which is the second smallest value? (a) 3 (b) -7/3 (c) -2/7 (d) g d Let u = -40914.9 + 40915. Which is the fourth biggest value? (a) -19 (b) u (c) -0.5 (d) -13 (e) -1/5 d Let x = 57.72 - -1.28. Let v = -64 + x. Suppose -5*a = 5*h, 4*h = -2*a - 6 - 2. What is the smallest value in -0.1, h, v? v Let h = 1 + -4. Let g be 2/10*(-15)/270*(-5 + (-110)/(-10)). What is the second smallest value in h, -1.9, g? -1.9 Let i be 2 + -5 + (-13)/(-2) + -4. Let u = -1 - -3. Which is the second smallest value? (a) -0.3 (b) 0.09 (c) u (d) i a Let y = -3131 - -3130. Which is the smallest value? (a) 2/9 (b) y (c) 98/9 b Let k be ((-4)/14 - (-104)/182)/((-9)/7). What is the biggest value in -894, -4, k? k Suppose -11 = l - 1. Let o be 1 + 5/(l/(-4)). Let n = -1727/1150 + 1/575. What is the second biggest value in 2, o, n? 2 Let s = -80.84 - -80.64. Which is the biggest value? (a) -28 (b) 7/3 (c) s b Let h = 34 - 24. Let b be (1 - (-3)/(-5))*(-425)/170. What is the third smallest value in 0.1, b, h? h Let h = -139 - -647. Let g = h + -505. What is the second smallest value in -0.06, g, 1/5? 1/5 Let x = -824.12 + 824. What is the third biggest value in 0.1, -4.8, x? -4.8 Let f = 215.898 + 0.102. Let s = f + -148. Let d = -67.9 + s. What is the smallest value in d, 1/8, -1.5? -1.5 Let o = -13 + 0. Let m = 15 + o. Let x = -381 + 377. Which is the third smallest value? (a) x (b) 5 (c) m (d) -0.4 c Suppose -18*u + 161 = 2141. Which is the third biggest value? (a) -1 (b) 0.5 (c) u c Suppose 5 = -u + 2. Let d = -62 + 104. Let r be (0 - -1)/((d/(-6))/245). Which is the biggest value? (a) -0.1 (b) r (c) u a Let r(f) = 31*f - 337. Let i be r(11). What is the biggest value in -35, i, 0.3, -2, -1.5? i Suppose i - 4*f = 3, 4*i + 608*f - 27 = 609*f. Which is the biggest value? (a) -35 (b) 4/3 (c) 2 (d) i d Let m = -0.01 - 1.99. Let o = -33985 + 171398/5. Let z = o - 295. Which is the third biggest value? (a) -20 (b) z (c) 2 (d) m d Suppose 2*x + 2 = j - 0*j, -3*x - 3 = -j. Let i = 12 - 11. Let k = i + j. Which is the t
{ "pile_set_name": "DM Mathematics" }
sest to -1? (a) -1 (b) 3 (c) -0.5 (d) -18 a Which is the nearest to 0? (a) 7 (b) 0 (c) 0.1 (d) -2/225 (e) -5 b What is the nearest to 1046 in 3, -167, 8? 8 Which is the closest to 1.6? (a) 3 (b) -2/41 (c) 0.08 (d) 5/3 d Which is the nearest to 4? (a) 103 (b) -0.5 (c) -3/4 b What is the nearest to 1/8 in 0.20346, 0, -2/15? 0.20346 Which is the nearest to -1? (a) -0.2 (b) -3 (c) -0.5 (d) 0 (e) 551 c What is the closest to -0.1 in 0, 0.28179, 1, 0.4? 0 What is the nearest to -6 in -3, 1, 0, -0.5, -90/13? -90/13 What is the nearest to 1 in -0.0343, -4, 0.01? 0.01 Which is the nearest to 5/2? (a) -3 (b) 0.7 (c) -2/9 (d) -6 b Which is the nearest to -0.7? (a) 5 (b) -3/4 (c) 1985 (d) -1/6 b Which is the nearest to 0? (a) -4 (b) 2 (c) 3181 (d) 6 (e) 0.5 e What is the nearest to -18.4 in 0.13, 2/19, 0, -0.5, -3? -3 Which is the closest to -76? (a) 6 (b) -2 (c) 6/11 (d) 0.4 (e) 2 b What is the closest to -54 in -3, -1/30, 5? -3 What is the closest to 0.3 in 4, -1/7, -0.4, 4/5, -0.058? -0.058 What is the nearest to -0.167 in -2, -0.11, 0.3, -0.4? -0.11 Which is the nearest to 2? (a) 2/17 (b) 0.16 (c) -2/9 (d) 2/15 (e) -3 b Which is the nearest to 0.38? (a) -5 (b) -14/15 (c) -2/19 (d) -1 (e) 0.5 e What is the closest to -1 in -0.4, -1/8, -5, 12, -20/7? -0.4 Which is the closest to -0.1? (a) 1 (b) -2/5 (c) -1781 b What is the nearest to 1 in 5, 547/55, -1/5? -1/5 What is the nearest to 0.1 in -2, -0.021, 3/7, -1.2, -187/5? -0.021 What is the nearest to -231/17 in -0.2, 0.1, 0.9? -0.2 Which is the closest to -2.52? (a) -0.5 (b) 1/3 (c) 6/7 a Which is the closest to -0.13? (a) 5 (b) -3/4 (c) 1/8 (d) -1 c Which is the closest to -0.1? (a) -2/7 (b) 5 (c) 0.3 (d) -1 (e) -7170 a What is the closest to 0.1 in 23762, -1/4, -2, 1/6, -3? 1/6 Which is the nearest to -0.1? (a) -2/7 (b) 3 (c) -281 (d) -0.38 (e) 0 e What is the closest to -7/2 in 0.3, 4, -5, 38? -5 Which is the nearest to 152? (a) -0.4 (b) -14 (c) 2.5 c Which is the closest to 2? (a) -91 (b) -2/11 (c) -7 (d) -5/2 (e) -5 b Which is the nearest to 2/3? (a) 3/7 (b) -35 (c) 2/15 a Which is the closest to -2? (a) 1/4 (b) -1 (c) -2/65 (d) 2/11 b Which is the nearest to -1.2? (a) 0.4 (b) -6/7 (c) 1723 b What is the closest to -0.76 in 3, 5/4, 13, -0.4? -0.4 Which is the nearest to 2? (a) 2 (b) -48 (c) 5 (d) 1 (e) 0.06 a Which is the nearest to 0.3? (a) -2/9 (b) 2/5 (c) -0.3 (d) 105 (e) 4 b Which is the nearest to -1? (a) 31 (b) -2/9 (c) -3789 (d) 3 b Which is the closest to -1? (a) -4/7 (b) 0.6656 (c) 0.09 a What is the nearest to 2 in 81, 3/8, -2/7, -41? 3/8 What is the closest to -2 in 3, 50, 7/2, 0.6? 0.6 What is the nearest to 2 in -67/9, -2/7, 0.4, 3? 3 Which is the closest to -1/2? (a) 5 (b) 0.4 (c) -1 (d) 1/27 c Which is the nearest to -4.4? (a) -124 (b) -0.3 (c) 6 b Which is the nearest to -0.099? (a) 3/2 (b) 27 (c) -5 a What is the nearest to 2/41 in -0.1, 41/14, -5? -0.1 Which is the nearest to 21? (a) 8 (b) -0.3 (c) 5/6 (d) 2/17 a What is the closest to -0.22 in -5, 8, 1414? -5 Which is the closest to -3/28? (a) -4/3 (b) 2 (c) 8/13 c What is the nearest to -1 in 3/5, 33, 0, -0.3, 31? -0.3 What is the closest to 2 in -0.1, 2/7, -0.044, 3, -0.3? 3 Which is the closest to 0.05? (a) 22.46 (b) 5 (c) -0.11 c What is the closest to 0.07 in 2/7, 2, 4, 0.1, 0.06? 0.06 Which is the nearest to 5/3? (a) -0.2 (b) 0.1 (c) -30 (d) -0.1 (e) 0 b Which is the closest to -2/7? (a) 1/4 (b) -2/17 (c) -2/39 (d) 1 b What is the nearest to 4 in 8/3, -1, 1, -6? 8/3 Which is the closest to -0.2? (a) -2/3 (b) -2/303 (c) -10 (d) -1/6 d What is the closest to 2/11 in 3, -28, -0.5? -0.5 What is the closest to -41 in -2/7, 4/5, 5, -0.034, 3/5? -2/7 Which is the closest to 2/3? (a) -0.5 (b) -1/4 (c) -10 (d) 64 b Which is the closest to 4.36? (a) -4 (b) 3 (c) -9 b Which is the nearest to 1/18? (a) 0.4 (b) -7 (c) -0.4 (d) 1 (e) 5 a What is the closest to 0.2 in 3, -2/15, 0.1, 2/671? 0.1 What is the closest to -1488 in 5, 3, -3? -3 What is the nearest to 0 in 52, 3, -0.5, -1? -0.5 What is the closest to 12 in -0.4, -6, -2, -0.09? -0.09 Which is the closest to 3? (a) 0.34 (b) -0.06 (c) -2/13 (d) 2/3 d What is the nearest to 2/27 in -3, 0.2, 48, 4/7, 0? 0 Which is the nearest to 8448? (a) -3 (b) 3 (c) -0.4 (d) -2/3 b What is the nearest to -0.2 in 12/43, 0.5, 1/5? 1/5 Which is the closest to -1/309? (a) 0.4 (b) -2/5 (c) 0.08 (d) 2/17 (e) -0.1 c What is the nearest to -12 in -16/21, -6, 0.4? -6 What is the nearest to -0.3 in -5, 0, -53? 0 Which is the closest to 0? (a) 8 (b) -1/3 (c) -2/5 (d) -1/5 (e) -5 d What is the closest to -1 in 2/11, 0, 3, -2301? 0 What is the closest to 1/3 in 4, 2/9, -211? 2/9 What is the closest to 2 in 1, 2/9, -0.5, 4976, 2? 2 Which is the nearest to 5/4? (a) -2 (b) 11 (c) 365 a What is the nearest to 2/51 in 0.3, 5, 4, 0.131? 0.131 Which is the nearest to -698? (a) 0 (b) -0.3 (c) 2 (d) -6/5 d Which is the nearest to 2/3? (a) 0 (b) 61.3 (c) 0.5 (d) 2/9 c Which is the nearest to -2/13? (a) -9.7 (b) -2/19 (c) 0.2 (d) 0.05 b Which is the nearest to -8/3? (a) -9 (b) -3 (c) -166 b Which is the nearest to 2/5? (a) 2/3 (b) -5 (c) 0.117 (d) 82/15 (e) -1 a What is the closest to -6.1 in -12, 0, -2/7? -2/7 What is the nearest to -1 in 3, 16/3, 2, 5/6, -0.1? -0.1 What is the closest to 1 in 1/16, 0.2, -27.9, -49? 0.2 Which is the nearest to 0.4? (a) -5 (b) -0.3 (c) -12 b Which is the closest to 1? (a) -0.37 (b) 75 (c) 1/4 c Which is the nearest to 1/105? (a) 29 (b) 4 (c) 1.3 c Which is the nearest to -0.08? (a) 16 (b) -0.17 (c) 0.6 b What is the closest to -1.3 in -69, 10, 2? 2 What is the closest to 0.1 in -20, 0.5, 3, -32, 0.6? 0.5 What is the nearest to 0.1 in 0.4, 35.2, 76, 7? 0.4 What is the nearest to -0.1 in 124/13, -1, -3/5, 3/4? -3/5 What is the nearest to -100/3 in -2, 1/15, 0? -2 Which is the nearest to 7/150? (a) 0.4 (b) 0.7 (c) -2/9 c Which is the closest to -4189? (a) -0.5 (b) 1/2 (c) 0.01 a What is the nearest to 1 in -4, 2/149, -2/5, 2/5? 2/5 Which is the closest to 2/11? (a) -5 (b) 0 (c) -2/13 b Which is the nearest to 2? (a) -267 (b) -4 (c) 0.1 (d) 1 (e) -2 d What is the nearest to -3/22 in -4, 0.4, 3/8? 3/8 What is the closest to 0 in 3/2, 12.7, -0.21? -0.21 Which is the nearest to -1? (a) -3/55 (b) -5 (c) -4.12 a Which is the nearest to 1? (a) -5 (b) -3/4 (c) -21801 b What is the nearest to -533 in -1/2, -9/5, -6? -6 Which is the closest to 0? (a) 0.041 (b) 4 (c) 11 (d) -3/4 a Which is the closest to 12.5? (a) -3 (b) 58/33 (c) 2 c What is the closest to -1/5 in 0.4, -5/4, 541? 0.4 What is the nearest to -0.1 in -37/11, -2/11, 0, 31/17? -2/11 Which is the nearest to 2? (a) -6 (b) 119 (c) -1/8 c Which is the closest to -7.9? (a) 22.7 (b) 0.3 (c) 13 b What is the nearest to 5 in -81, 0.3, -19? 0.3 Which is the nearest to 40? (a) -2/9 (b) -38 (c) 3/7 (d) -0.3 c Which is the nearest to 1? (a) 67 (b) 1 (c) -5 (d) 2/7 (e) 0.2 b Which is the closest to 1? (a) -4 (b) -1 (c) 7 (d) 2047 b Which is the closest to 1/2? (a) -2 (b) -34 (c) 0.1 (d) 1/43 c Which is the nearest to 3/5? (a) 0.1 (b) 5 (c) 0.3 (d) -4 (e) 0.103 c Which is the nearest to -2/7? (a) 7 (b) -9/8 (c) -1 (d) 5 c What is the nearest to 3 in -4.5, -2, 3, 0.31? 3 Which is the closest to -0.03? (a) 0.4 (b) -2/3 (c) 48 (d) 2/9 d What is the closest to 2 in 14/5, 203/2, -2/15, 1/6? 14/5 What is the nearest to 1.6 in 0.02, -0.2, -6/19, 0.01, -2/11? 0.02 Which is the nearest to 0.1? (a) 0.4 (b) 12/19 (c) 1 (d) 2 a Which is the closest to 8/15? (a) 3/4 (b) -0.4 (c) 0 (d) -8 a Which is the closest to 1/2? (a) 166 (b) -1.1 (c) -0.3 c What is the closest to -12 in 2/321, 2, -0.4, -3? -3 Which is the nearest to 0.2? (a) -6285 (b) -4 (c) -3 c Which is the closest to 10/3? (a) -2/11 (b) 1.18 (c) -0.4 (d) 2/7 b Which is the nearest to 0.3? (a) 41 (b) -1 (c) 5 (d) -2/15 d Which is the nearest to -1? (a) -5 (b) -1/4 (c) 0.5 (d) 1007 (e) 2/5 b What is the nearest to 0.1 in 1/6, 92, -0.4, -2, 13? 1/6 What is the nearest to 8 in 0.5, -29/5, -1, 0.4? 0.5 What is the nearest t
{ "pile_set_name": "DM Mathematics" }
8 What is the units digit of 204? 4 What is the units digit of 6552? 2 What is the units digit of 8? 8 What is the units digit of 72? 2 What is the thousands digit of 3050? 3 What is the hundreds digit of 222? 2 What is the ten thousands digit of 96405? 9 What is the tens digit of 9849? 4 What is the hundreds digit of 1456? 4 What is the tens digit of 29365? 6 What is the units digit of 471? 1 What is the hundreds digit of 11092? 0 What is the units digit of 412? 2 What is the units digit of 8162? 2 What is the hundreds digit of 1681? 6 What is the hundreds digit of 20488? 4 What is the hundreds digit of 7938? 9 What is the hundreds digit of 24996? 9 What is the thousands digit of 80975? 0 What is the tens digit of 5691? 9 What is the thousands digit of 52911? 2 What is the tens digit of 158? 5 What is the tens digit of 7096? 9 What is the ten thousands digit of 143054? 4 What is the tens digit of 120689? 8 What is the thousands digit of 6073? 6 What is the hundreds digit of 513? 5 What is the tens digit of 2796? 9 What is the hundreds digit of 3633? 6 What is the tens digit of 4380? 8 What is the tens digit of 34336? 3 What is the tens digit of 2128? 2 What is the units digit of 93? 3 What is the hundreds digit of 59933? 9 What is the units digit of 5331? 1 What is the units digit of 3414? 4 What is the units digit of 14837? 7 What is the hundreds digit of 634? 6 What is the units digit of 248? 8 What is the tens digit of 38025? 2 What is the hundreds digit of 57642? 6 What is the hundreds digit of 775? 7 What is the units digit of 2112? 2 What is the tens digit of 7687? 8 What is the hundreds digit of 940? 9 What is the thousands digit of 3482? 3 What is the hundreds digit of 13601? 6 What is the units digit of 56688? 8 What is the tens digit of 49553? 5 What is the hundred thousands digit of 147197? 1 What is the thousands digit of 4463? 4 What is the units digit of 842? 2 What is the tens digit of 3027? 2 What is the hundreds digit of 713? 7 What is the thousands digit of 47923? 7 What is the tens digit of 3065? 6 What is the tens digit of 62? 6 What is the thousands digit of 2397? 2 What is the ten thousands digit of 14171? 1 What is the units digit of 691? 1 What is the tens digit of 35703? 0 What is the ten thousands digit of 14993? 1 What is the tens digit of 4585? 8 What is the tens digit of 10018? 1 What is the units digit of 103796? 6 What is the units digit of 1150? 0 What is the hundreds digit of 9126? 1 What is the hundreds digit of 20348? 3 What is the units digit of 799? 9 What is the tens digit of 1885? 8 What is the hundreds digit of 1426? 4 What is the thousands digit of 55229? 5 What is the ten thousands digit of 50142? 5 What is the thousands digit of 7446? 7 What is the hundreds digit of 547? 5 What is the units digit of 66520? 0 What is the units digit of 96066? 6 What is the thousands digit of 79718? 9 What is the units digit of 8963? 3 What is the thousands digit of 33421? 3 What is the thousands digit of 1302? 1 What is the thousands digit of 6639? 6 What is the units digit of 37462? 2 What is the hundreds digit of 51008? 0 What is the ten thousands digit of 19623? 1 What is the units digit of 44628? 8 What is the tens digit of 3921? 2 What is the units digit of 22794? 4 What is the units digit of 1647? 7 What is the units digit of 195? 5 What is the tens digit of 203? 0 What is the units digit of 81441? 1 What is the hundreds digit of 5805? 8 What is the thousands digit of 14907? 4 What is the tens digit of 4841? 4 What is the hundreds digit of 29791? 7 What is the ten thousands digit of 22773? 2 What is the hundreds digit of 4099? 0 What is the hundreds digit of 1370? 3 What is the hundreds digit of 670? 6 What is the hundreds digit of 22293? 2 What is the thousands digit of 14876? 4 What is the units digit of 9703? 3 What is the tens digit of 51449? 4 What is the hundreds digit of 1383? 3 What is the units digit of 29106? 6 What is the hundreds digit of 9039? 0 What is the units digit of 11082? 2 What is the tens digit of 433? 3 What is the tens digit of 457? 5 What is the thousands digit of 11875? 1 What is the hundreds digit of 87465? 4 What is the tens digit of 94220? 2 What is the tens digit of 76616? 1 What is the units digit of 27141? 1 What is the units digit of 443? 3 What is the ten thousands digit of 11899? 1 What is the thousands digit of 1820? 1 What is the thousands digit of 1713? 1 What is the units digit of 197? 7 What is the units digit of 58553? 3 What is the hundreds digit of 939? 9 What is the hundred thousands digit of 156596? 1 What is the hundreds digit of 9689? 6 What is the hundreds digit of 63503? 5 What is the units digit of 8511? 1 What is the hundreds digit of 30476? 4 What is the units digit of 3779? 9 What is the tens digit of 50? 5 What is the tens digit of 225? 2 What is the tens digit of 7433? 3 What is the tens digit of 12736? 3 What is the tens digit of 437? 3 What is the hundreds digit of 53903? 9 What is the tens digit of 1015? 1 What is the thousands digit of 9829? 9 What is the ten thousands digit of 12248? 1 What is the units digit of 2440? 0 What is the hundreds digit of 11077? 0 What is the hundreds digit of 18208? 2 What is the hundreds digit of 1269? 2 What is the units digit of 2816? 6 What is the units digit of 202? 2 What is the ten thousands digit of 18404? 1 What is the units digit of 42072? 2 What is the units digit of 2665? 5 What is the ten thousands digit of 11404? 1 What is the hundreds digit of 47397? 3 What is the thousands digit of 2122? 2 What is the units digit of 54? 4 What is the thousands digit of 4697? 4 What is the ten thousands digit of 35804? 3 What is the hundreds digit of 1521? 5 What is the hundreds digit of 133031? 0 What is the tens digit of 23366? 6 What is the units digit of 389? 9 What is the units digit of 887? 7 What is the hundreds digit of 1959? 9 What is the units digit of 9658? 8 What is the hundreds digit of 2333? 3 What is the hundreds digit of 1919? 9 What is the tens digit of 69267? 6 What is the tens digit of 936? 3 What is the tens digit of 2899? 9 What is the units digit of 7353? 3 What is the thousands digit of 3920? 3 What is the tens digit of 12028? 2 What is the units digit of 575? 5 What is the thousands digit of 10929? 0 What is the thousands digit of 2145? 2 What is the hundreds digit of 1217? 2 What is the thousands digit of 2208? 2 What is the tens digit of 35685? 8 What is the thousands digit of 2439? 2 What is the thousands digit of 3030? 3 What is the tens digit of 30288? 8 What is the hundreds digit of 65612? 6 What is the thousands digit of 5621? 5 What is the units digit of 787? 7 What is the hundreds digit of 408? 4 What is the ten thousands digit of 113662? 1 What is the units digit of 85766? 6 What is the units digit of 22180? 0 What is the ten thousands digit of 33889? 3 What is the ten thousands digit of 21755? 2 What is the hundreds digit of 104593? 5 What is the ten thousands digit of 22798? 2 What is the thousands digit of 1815? 1 What is the hundred thousands digit of 112745? 1 What is the tens digit of 3231? 3 What is the hundreds digit of 132700? 7 What is the thousands digit of 2898? 2 What is the ten thousands digit of 16042? 1 What is the thousands digit of 51809? 1 What is the units digit of 110008? 8 What is the units digit of 1361? 1 What is the hundreds digit of 6832? 8 What is the tens digit of 12529? 2 What is the thousands digit of 9509? 9 What is the hundreds digit of 17743? 7 What is the hundreds digit of 8676? 6 What is the thousands digit of 40872? 0 What is the thousands digit of 1812? 1 What is the tens digit of 152177? 7 What is the hundreds digit of 1285? 2 What is the ten thousands digit of 166964? 6 What is the ten thousands digit of 101132? 0 What is the hundreds digit of 1181? 1 What is the units digit of 1511? 1 What is the tens digit of 218? 1 What is the units digit of 1696? 6 What is the tens digit of 2878? 7 What is the units digit of 76000? 0 What is the hundreds digit of 14929? 9 What is the hundreds digit of 805? 8 What is the ten thousands digit of 12698? 1 What is the tens digit of 1055? 5 What is the hundreds digit of 535? 5 What is the ten thousands digit of 55513?
{ "pile_set_name": "DM Mathematics" }
0 Express (-7*o + 7*o - 4*o**2)*(-5 + 2 + 0)*(-3 + 8 + 2) as i*o**2 + r + g*o and give i. 84 Express 0*x**4 - 2*x**4 + 0*x**4 + (-5*x**3 + 14*x - 14*x)*(-x + 6*x - x) as c*x**2 + d*x**4 + z*x + j*x**3 + k and give d. -22 Express 1 + q**3 - 2*q**3 - 7*q**3 + 3*q**3 - 3*q in the form n*q**2 + y*q + i + f*q**3 and give f. -5 Rearrange -1 + 1 + 13*k**2 + (-k + 2*k - 16*k)*(2*k + k - 4*k) to i*k + q*k**2 + w and give w. 0 Rearrange 1 + 32*c + 1 - 15*c - 12*c to q*c + x and give q. 5 Rearrange 4*d + 24*d + 7*d + (-3 + 3 - 2)*(d - 3*d + 3*d) - d - 2 + 2 to the form p*d + y and give p. 32 Rearrange -9 + 19*y + 9 to the form z + x*y and give x. 19 Express (-8*o**2 - o - 121*o**3 - 7 - o + 123*o**3)*(0 + 1 + 0) in the form f*o**3 + q*o + c + v*o**2 and give c. -7 Rearrange b**4 - 4*b**3 - 2 + 6*b**3 - 3*b**3 - 2*b to the form i + l*b + x*b**3 + n*b**4 + h*b**2 and give i. -2 Express 2*w**2 + 10*w**2 + 37*w**2 as i*w + z + o*w**2 and give o. 49 Rearrange (-2 - 3 + 3)*(-n + n - n) + 2 - 2 - 3*n + (3*n - 3*n + 2*n)*(-4 + 12 - 4) to i*n + r and give i. 7 Rearrange -6*a + 121 - 121 - 23*a to the form c*a + u and give c. -29 Express (3*a + 2*a - 6*a)*(-3 + 0 + 1) - 2*a + 5*a - 2*a as d*a + w and give d. 3 Express -150*v + 2*v**2 + 149*v - 4*v**3 - 2*v**3 - 1 + 2 as y*v**2 + x + o*v**3 + t*v and give x. 1 Express 9*u**4 + 13*u - 15*u - u**2 - 8*u**4 + 2 in the form t*u**4 + j*u**2 + x*u + q*u**3 + h and give t. 1 Rearrange -a - 2*a + 8*a - a - 4*a + 4*a + (0*a - 4*a + 5*a)*(-1 + 0 - 1) - 5 - a + 5 + (-17 - 10*a + 17)*(2 - 2 - 1) to s*a + u and give u. 0 Express -m**3 + 5*m + 138 - 138 + 4*m**2 in the form u*m**3 + s + h*m + w*m**2 and give w. 4 Rearrange -21*f + 21*f - 1 - 12*f**2 - 27*f**2 to j*f**2 + q + p*f and give j. -39 Express (2*y**4 - y**4 + 0*y**4 + (0 + 0 + y**2)*(3*y**2 - 4*y**2 + 3*y**2))*(-4 + 2 + 5) in the form f*y**2 + u*y**4 + h + o*y**3 + z*y and give u. 9 Express -39*w + 16*w + 2*w**2 + 21*w - 7*w**2 in the form g*w + r*w**2 + v and give r. -5 Rearrange v**2 + 3*v + 19 + 0*v - 3*v to the form u*v**2 + p + y*v and give u. 1 Express -3*u - 10*u**2 + 15*u**2 + 9*u as o*u + n*u**2 + r and give r. 0 Express -2*u**3 - 8*u**2 - 2 + u**2 + 0*u**2 as p + f*u + x*u**2 + i*u**3 and give i. -2 Rearrange -2*r + 7*r - 2*r + (1 + 6 - 6 - 4*r)*(-3 - 3 + 5) to the form m*r + v and give m. 7 Express -2*q**3 + 5*q**2 - 5*q**2 + (1 - 1 - q)*(2*q**2 - 4*q**2 + 3*q**2) - 4*q**2 + 4*q**2 - 4*q**3 as j*q + r + b*q**3 + i*q**2 and give b. -7 Express -15*y - 10 + 10 in the form l + n*y and give n. -15 Express (165 - 3 + 34 + 29)*(b**4 + 0*b**4 + 0*b**4) in the form x + r*b**2 + j*b**4 + t*b + q*b**3 and give j. 225 Rearrange -2*m**2 + 5*m - 137 + 137 to the form p + l*m + w*m**2 and give l. 5 Rearrange (-14*n**3 + 28*n**3 - n**3)*(-4*n - 3*n + 6*n) + 0*n + 0*n - 2*n**4 to k*n**4 + d + v*n**3 + t*n + a*n**2 and give k. -15 Express 15*h**2 + 11*h**2 - 5*h**2 as z*h + j + o*h**2 and give o. 21 Express (-2 + 0 + 5)*(-7 - 2*o - 8 + 21) as u + k*o and give u. 18 Express -w**4 + 2*w**2 - w**2 - 3 + 2*w**3 + w - w in the form o*w**4 + s + a*w + p*w**3 + x*w**2 and give s. -3 Rearrange -9 + 34 + s + 59 to o + c*s and give c. 1 Express (-t + t + 2*t**4)*(-181 - 57 - 142 - 50) as l*t**3 + o*t + j + u*t**4 + i*t**2 and give u. -860 Rearrange (-1 - 1 + 1)*(1 + 1 - 9)*(-3 + 2*x**2 + 3) to z*x + l*x**2 + d and give l. 14 Express 2 - 3*y + 0 + 0*y + 0*y as k + f*y and give f. -3 Rearrange (1 - 1 - u)*(-4 + 2*u + 4) + 5*u**2 - 4*u**2 + 0*u**2 to r + k*u**2 + c*u and give k. -1 Rearrange (2*m - m + m)*(2*m - m + m + (0*m + 3*m - 5*m)*(0 - 3 + 1)) to the form q*m**2 + h + d*m and give q. 12 Rearrange (3 - 2*c + 2 - 4)*(-8*c + 16 - 16) to f*c + w*c**2 + z and give w. 16 Express -8 + 2*u - 2*u**3 + 6 + 6 + 2 in the form m*u**2 + o + j*u**3 + f*u and give f. 2 Rearrange (2 - 2 - 2*c)*(-4*c + 3*c - c) - c**2 - 4 + 4 - 139*c**2 - 8432 + 8432 to z*c**2 + n + w*c and give z. -136 Rearrange 3 + 3*b**2 + 0*b + 0*b + 3*b**4 - 4*b**2 to the form x*b**3 + n*b**2 + z*b + f + j*b**4 and give n. -1 Express (5 + 118 + 16)*(g + 0*g + g) as s*g + v and give s. 278 Rearrange (-2 - 2 - 7)*(0*g**3 - 6*g**3 - g**3) to c + x*g**2 + j*g**3 + f*g and give j. 77 Rearrange (0 - 1 + 3)*((-4*o + 4*o + 2*o)*(-2*o + 2*o - 2*o) + 3 - 3 - o**2 + 2*o**2 + 2*o**2 - 3*o**2 - 2 + o**2 + 2) to r*o**2 + l + j*o and give r. -6 Rearrange (-5 + v**2 + 5)*(v + 5*v - 4*v) + (7*v**2 - 4*v**2 + 6*v**2)*(1 - 1 - v) to j*v + r*v**2 + o + s*v**3 and give s. -7 Express 3 - j - 5*j - 3 as c*j + a and give c. -6 Express (0 + 0 + 1)*(-5 + 0 + 4)*(6*b + 3*b + 4*b) as v + d*b and give d. -13 Express -3*l**2 + 4*l**2 + 0*l**2 + (l**2 + 3*l**2 - 2*l**2)*(-8 - 11 + 20) as g + o*l**2 + n*l and give o. 3 Rearrange (-2*z + 0*z - 2*z)*(-z + 0*z + 0*z)*(4*z**2 - z**2 - z**2) to f + w*z**3 + c*z**2 + n*z**4 + b*z and give n. 8 Express -17*h**2 + 2*h**4 + 16*h**2 + 8*h**3 - 29 + 29 in the form t*h + l*h**3 + f*h**2 + y + d*h**4 and give d. 2 Express -4 + o + 4 + (2 - 2 - 4*o)*(2 + 2 - 5) - 3 + 0 + 0*o + o as l + r*o and give r. 6 Express -24 - 2*g - 15 + 42 - 2*g**2 - g**2 + g**2 - g**2 + (2*g + 1 - 1)*(3*g - 2*g - 2*g) as q*g + h + l*g**2 and give h. 3 Rearrange 4*k**3 - 4*k**3 + k**3 + (-2*k + 3*k - 6*k)*(-2*k**2 + 4*k**2 - k**2) - 2*k**3 - 3*k**3 + 6*k**3 to j*k**3 + n*k**2 + z*k + m and give j. -3 Express (-4*k + k + 4*k + (2*k - 3*k - k)*(2 + 0 - 3) - 4 - k + 4)*(-k**2 - 10*k + 10*k) as r*k**2 + p*k + d*k**3 + f and give d. -2 Rearrange -3 + a**2 + 11*a**3 + 3 + 1 to x + q*a**3 + l*a + t*a**2 and give x. 1 Express -2*d**2 - 13 - 2 - 11 + 6*d**2 as q*d**2 + k + w*d and give q. 4 Rearrange j**3 + j**2 - j**2 + (-3*j**2 - 2*j**2 + 3*j**2)*(-3*j + j + 0*j) + 44*j**2 - 44*j**2 - 16*j**3 to the form y*j**3 + g + l*j + c*j**2 and give c. 0 Rearrange (-21*h**3 + 4*h**4 + 21*h**3)*(-4 - 3 + 6) to the form n*h**2 + a*h**4 + b + u*h + x*h**3 and give a. -4 Rearrange 104 + 2*s**2 - 221 - s + 109 to the form o*s**2 + u*s + b and give o. 2 Rearrange -124*s - 4123 + 4123 to p*s + f and give p. -124 Express (-1 - 1 + 5)*(-2 + 5 - 2)*(0*u - 8*u - 8*u) in the form o + t*u and give t. -48 Rearrange (-3 - 3 + 4)*(-2 + 4*k + 2) + 1 + 1 - 2*k + 4*k to o + v*k and give v. -6 Rearrange 3703 - 53*x - 3703 to the form v + t*x and give t. -53 Express (0*k**2 - 5*k - 9*k**2 + 14*k**2)*(2*k - 2*k + 3*k**2) as s + g*k**2 + n*k**4 + d*k**3 + t*k and give d. -15 Express 3*g**4 - 6*g**4 + 0*g**3 + g + g**3 - g**2 + g**3 - 1 as u*g + b*g**3 + i*g**4 + s + q*g**2 and give b. 2 Express -f**3 - 2 - 4*f**3 + 6*f**3 - 2*f**2 in the form y + c*f**2 + w*f**3 + x*f and give x. 0 Express -4*l**3 + l**3 + 2*l**3 + (l + 2*l - 2*l)*(0*l**2 - 3*l**2 + 2*l**2) - 4*l**3 - l**3 + l**2 + 3*l**3 as h*l + t + q*l**3 + x*l**2 and give q. -4 Express (23*b + 1 + 0 - 52*b)*(-1 - 2 - 2) in the form t*b + l and give t. 145 Express 22*h**2 + 4 + 28*h**2 - 49*h**2 in the form j*h**2 + y*h + t and give j. 1 Express -2 - 3*q**3 + 0*q + 2*q**3 - 4*q + q**4 as s + o*q**2 + z*q**4 + w*q**3 + f*q and give o. 0 Express -12222*h + 2 - 29*h**2 + 12222*h + (h + 0*h + 0*h)*(-2*h + 3*h + 0*h) in the form l*h**2 + a + c*h and give l. -28 Rearrange -9*v**3 - v**2 + 54*v**3 + 30*v**3 + 14*v**3 to the form h + k*v + o*v**2 + r*v**3 and give r. 89 Express b**2 + 10 + 22*b**2 - 12 - 3*b**2 as j + f*b + v*b**2 and give v. 20 Express (2 - 1 + 0)*(-39 + 34 - 4*d + 9*d) as l + u*d and give u. 5 Rearrange (1 - 5 - 3)*(-1 - w**3 + 1) + (-w**3 + 4*w**3 - w**3)*(-1 + 3 + 4) to p*w**2 + f*w + t + j*w**3 and give j. 19 Rearrange 2*o**2 - 44*o**3 + 43*o**3 + 4 + 0*o**4 + 2*o**4 to the form i*o**3 + u + k*o**2 + s*o**4 + j*o and give i. -1 Rearrange -r + 0*r - r**2 - 4 + 4 - 5*r**4 to w*r**4 + f*r**2 + u*r**3 + j*r + b and give f. -1 Express -5*d**2 + 22 + d + d**2 + d + 6*d**2 as p*d + k*d**2 + r and give p. 2 Express r**4 + 4 - 1 - 2*r + 4 + r**3 + 0 as j*r**2 + t*r**4 + p + g*r**3 + c*r and give p. 7 Rearrange (-4*h + h + 2 - 4*h**2 + 6*h)*(-h + 10 - 10) to o*h + r*h**3 + u + i*h**2 and give u. 0 Rearrange 60*h + h**3 - 60*h - 3 - 2*h**2 to the form g + v*h + k*h**2 + w*h**3 and give k. -2 Express 0 - u + 3*u + 1 + 2 as r + j*u and give r. 3 Express g**2 + 7 - 10 + 1 as l*g**2 + r*g + m and give m. -2 Rearrange -16*d + 25*d**
{ "pile_set_name": "DM Mathematics" }
-10330 In base 16, what is 61 + -4? 5d In base 11, what is 236 + 32? 268 In base 15, what is -4 + -c? -11 In base 11, what is 63a + 0? 63a In base 12, what is -74 + 13? -61 In base 4, what is 121 + 131? 312 In base 16, what is -7b - -4? -77 In base 16, what is 113 + -1d? f6 In base 12, what is -3 - -117? 114 In base 2, what is -1001110 - -100111? -100111 In base 4, what is 23 + -113313? -113230 In base 15, what is -12 + -20? -32 In base 14, what is -17b5 + -1? -17b6 In base 7, what is -1052 + 0? -1052 In base 15, what is -2 + -c3? -c5 In base 3, what is 1200 + 11100? 20000 In base 15, what is 4 + -d8? -d4 In base 7, what is 130 - -20? 150 In base 4, what is -10 + -1133? -1203 In base 12, what is -4 + 724? 720 In base 14, what is -5 + 51? 4a In base 2, what is -1100 + -1011011? -1100111 In base 3, what is -122 + 12120? 11221 In base 13, what is 41 - -61? a2 In base 10, what is -14 - 304? -318 In base 9, what is -6 + 40? 33 In base 2, what is -11110 - 11111010? -100011000 In base 13, what is 1144 - 4? 1140 In base 9, what is -18 + -6? -25 In base 3, what is 1 - -212001? 212002 In base 5, what is -3040 + -4? -3044 In base 7, what is -120 + -40? -160 In base 7, what is 11 + 212? 223 In base 3, what is 102202 - 2? 102200 In base 2, what is 1101000011110 + -10? 1101000011100 In base 15, what is -5e + 10? -4e In base 10, what is -27 - 38? -65 In base 4, what is -3321 + 130? -3131 In base 10, what is -136 - -40? -96 In base 4, what is 2 + -231? -223 In base 2, what is 110001001 + -11? 110000110 In base 8, what is -1741 + 10? -1731 In base 9, what is 73 + 0? 73 In base 6, what is -125 + 51? -34 In base 9, what is -5 - 1652? -1657 In base 10, what is -1 + 185? 184 In base 12, what is -49 + -20? -69 In base 16, what is -1 + 9b? 9a In base 14, what is dc - -48? 146 In base 7, what is -165514 - 0? -165514 In base 4, what is -232 - 1222? -2120 In base 15, what is 2 + 712? 714 In base 6, what is 45354 + 0? 45354 In base 13, what is -44 - -1c? -25 In base 13, what is 0 + -7b? -7b In base 14, what is -8 - 4db? -505 In base 12, what is -26 + -51? -77 In base 14, what is -a51 + -3? -a54 In base 3, what is 0 - -10010010? 10010010 In base 8, what is 72 + -414? -322 In base 16, what is 1f + a? 29 In base 16, what is 44 + -10d? -c9 In base 13, what is -58c - -5? -587 In base 12, what is -17 - -3? -14 In base 9, what is 3 - -20? 23 In base 14, what is 41c - 5? 417 In base 15, what is 0 + 13e? 13e In base 8, what is -47 - -5? -42 In base 2, what is -10011 - -1000111101? 1000101010 In base 9, what is -1 - -23? 22 In base 3, what is -110001 + 12? -102212 In base 5, what is -1 - -331? 330 In base 10, what is 121 - 25? 96 In base 11, what is 772 - -1? 773 In base 8, what is -154 - 7? -163 In base 13, what is -4689 - 0? -4689 In base 8, what is 4 - 324? -320 In base 4, what is 11 + 103? 120 In base 12, what is 6 + 3? 9 In base 16, what is -5 - 80f? -814 In base 3, what is -111221 - 10? -112001 In base 5, what is -333 + 21? -312 In base 11, what is -40 - 3? -43 In base 15, what is 2d - 1c5? -197 In base 15, what is -e + 1c? d In base 2, what is -11 + -11011111110? -11100000001 In base 4, what is 1 + -23? -22 In base 13, what is -4 - -33? 2c In base 4, what is 10 - -1211? 1221 In base 11, what is -257 - 2? -259 In base 13, what is 2 - -3? 5 In base 3, what is 101 + 12100? 12201 In base 12, what is -44 + -21? -65 In base 11, what is 2 + 181a? 1821 In base 16, what is -4 + -184? -188 In base 12, what is -3a + -5? -43 In base 2, what is 10 - -1010110110? 1010111000 In base 10, what is 237 + 3? 240 In base 4, what is -1103 + 2? -1101 In base 4, what is -1 - -2020? 2013 In base 15, what is -5 - e83? -e88 In base 16, what is -65d + 7? -656 In base 4, what is -100 - -33? -1 In base 2, what is 11011 + -100? 10111 In base 10, what is -20 + 4? -16 In base 4, what is 10 + -1013012? -1013002 In base 10, what is -621 - -3? -618 In base 5, what is 3 + 241031? 241034 In base 12, what is -34 - -43? b In base 16, what is e - -44b? 459 In base 9, what is 2 - 4? -2 In base 14, what is 3 - -1d4? 1d7 In base 13, what is 11 + 3a? 4b In base 10, what is -424 + -4? -428 In base 8, what is -30 - -256? 226 In base 8, what is -4 + 267? 263 In base 10, what is -20 + 21? 1 In base 14, what is 1 - -19b5? 19b6 In base 14, what is 2b5 + -3? 2b2 In base 2, what is 11 - 111000101001? -111000100110 In base 8, what is -2 - -4605? 4603 In base 6, what is 10243 + -3? 10240 In base 15, what is 3 - -1631? 1634 In base 9, what is 1608 + 5? 1614 In base 4, what is 0 + -10013? -10013 In base 4, what is -10 + 130? 120 In base 12, what is -3b - 4? -43 In base 2, what is -101 + 100101000? 100100011 In base 14, what is 33 - -4? 37 In base 16, what is -12 + -4e? -60 In base 11, what is 12a - 0? 12a In base 12, what is 781 - -2? 783 In base 9, what is -21128 - 1? -21130 In base 7, what is -345 + 4? -341 In base 16, what is -6 - 5ec? -5f2 In base 15, what is -2b90 - -1? -2b8e In base 11, what is -17 - -9? -9 In base 16, what is -4a - -15? -35 In base 15, what is 5 - a? -5 In base 13, what is -5 + 13? b In base 4, what is 21230 + 11? 21301 In base 2, what is -111110110111 + 0? -111110110111 In base 7, what is -126 + 154? 25 In base 4, what is 3102 + 2? 3110 In base 16, what is -19b - 0? -19b In base 12, what is 8931 + -1? 8930 In base 12, what is -208 - 0? -208 In base 10, what is 19 + 233? 252 In base 10, what is -1 - -286? 285 In base 15, what is 1 - c7d? -c7c In base 5, what is 102 - -1204? 1311 In base 10, what is -1 + -5? -6 In base 15, what is 7b3 - 0? 7b3 In base 8, what is -4327 - -2? -4325 In base 4, what is 123 - 2? 121 In base 3, what is 100012 + 11? 100100 In base 4, what is -22 - -32? 10 In base 4, what is 130331 + -3? 130322 In base 5, what is -2 - -22204? 22202 In base 9, what is 44 - -430? 474 In base 5, what is -20 - -203? 133 In base 2, what is 11101 - -1010101? 1110010 In base 11, what is 7a3 + -1? 7a2 In base 6, what is 3200 + 4? 3204 In base 10, what is 2730 + 1? 2731 In base 8, what is 0 + -24? -24 In base 8, what is 3 - 6740? -6735 In base 9, what is -230 - 1? -231 In base 13, what is 7 + -83? -79 In base 12, what is 3145 - 5? 3140 In base 10, what is 7 + 126? 133 In base 6, what is -3 - -20221? 20214 In base 11, what is -1311 + 0? -1311 In base 7, what is -10514 - 2? -10516 In base 7, what is 1 - 1560? -1556 In base 9, what is 28 - -1? 30 In base 14, what is -2 - 3c0? -3c2 In base 9, what is -4 - 330? -334 In base 12, what is 2 - 8? -6 In base 4, what is 1 - 22? -21 In base 12, what is 253 + -9a? 175 In base 5, what is 30 - 121? -41 In base 11, what is 2 + 48a2? 48a4 In base 4, what is -20103 + 0? -20103 In base 16, what is -56 + 3? -53 In base 15, what is -7 + -8? -10 In base 7, what is 1 - -656? 660 In base 4, what is 3 - -10033? 10102 In base 8, what is -11 - -2127? 2116 In base 8, what is -3 - 4413? -4416 In base 10, what is 9 - 344? -335 In base 12, what is 23a9 + 5? 23b2 In base 2, what is -10100011 + -100011? -11000110 In base 14, what is -28 + 10? -18 In base 7, what is 1103 + -4? 1066 In base 13, what is 67 - 0? 67 In base 16, what is 371 - -5? 376 In base 12, what is -75 + -3? -78 In base 14, what is 0 - -2b6? 2b6 In base 8, what is 2602 - -1? 2603 In base 4, what is -2 - 30121? -30123 In base 6, what is 54420 - 5? 54411 In base 12, what is 3 - -11? 14 In base 8, what is -7 + 607? 600 In base 9, what is -242 + 1? -241 In base 12, what is -119b + 0? -119b In base 15, what is -2a - 1b? -46 In base 9, what is 87 + -21? 66 In base 6, what is 4 + -401? -353 In base 15, what is 3 + 75? 78 In base 4, what is 20122 - 31? 20031 In base 11, what is 88 - 4? 84 In base 7, what is 40 + 36? 106 In base 7, what is -1220 + 30? -1160 In base 5, what is 3001 - 22? 2424 In base 15, what is 4d - -3? 51 In base 11, what is -3 - 21? -24 In base 8, what is -6 - 26? -34 In base 12, what is 21 - -221? 242 In base 15, what is 1 + 19? 1a In base 14, what is 234 + -7? 22b In base 14, what is -4 - 467? -46b In base 15, what is -65 - -3? -62 In base 2, what is -110001100 + 10001? -101111011 In base 12, what is 41 + -228? -1a7 In base 4, what is -1120 - 23? -1203 In base 6, what is 1 + -51242? -51241 In base 9, what is 1277 + -8? 1268 In base 14, what is -576 + -1? -577 In base 3, what is -12 + 2220? 2201 In base 7,
{ "pile_set_name": "DM Mathematics" }
*b**4 + 3*b**4 + 75 - 76 - b**3 - 5*b**4 to h*b**4 + a + d*b**3 + s*b + n*b**2 and give n. 2 Rearrange s + 4 - 4*s - 4 to the form i*s + m and give i. -3 Rearrange -32*m + 1 + 5 - 18*m - 4 to the form k*m + d and give d. 2 Rearrange 25*m**4 - 6 + m + 6*m**3 - 3*m**3 - 24*m**4 to the form i + b*m + g*m**4 + a*m**3 + f*m**2 and give g. 1 Express (-4*b + 4*b - 2*b**2)*(151 - 151 - 26*b) as z*b**2 + l*b + k*b**3 + m and give k. 52 Express (-r + 4*r + 0*r - r + 0*r + 2*r + (r + 0*r + 0*r)*(2 + 0 - 4) + 2*r - 3*r + 0*r)*(-11 - 21 + 6) as p + o*r and give o. -26 Express (o - 4*o - 4*o)*(-2*o**2 + 5*o**2 + 3*o**2 + (o + 0*o - 2*o)*(3*o - 3*o + 2*o)) in the form r*o**3 + p*o**2 + a + d*o and give r. -28 Express 4*l**2 - 3*l**2 + 0*l**2 + (-3*l - 5 + 5)*(7*l - 3*l - l) as k + p*l**2 + t*l and give p. -8 Rearrange 6*b**3 - 6*b + 6*b + (4*b**2 + 4*b**2 - b**2)*(-b - 3*b + 3*b) to the form a*b + i*b**3 + k + m*b**2 and give i. -1 Rearrange (-2 - g**3 + 2*g**3 + 0)*(5 + 53 - 3) to the form r*g**2 + x + j*g + i*g**3 and give i. 55 Express -10*h**2 - 12*h**2 + 5*h**2 as r + g*h + f*h**2 and give f. -17 Express -2*u + 3*u - 9*u - 5*u as p*u + m and give p. -13 Express 0*u - 67*u - 44*u in the form o + t*u and give t. -111 Rearrange (-4 - k + 4)*(2*k**2 - 2*k**2 + 2*k**2) - 46*k**3 + 7*k**3 + 159*k**3 to n*k**2 + s + x*k + b*k**3 and give b. 118 Rearrange 6*p + 3*p + 10*p to the form x + b*p and give x. 0 Express (0*j - 2*j + 0*j)*(42 + 1 + 17)*(-2*j - 3*j + 3*j) in the form q + k*j**2 + h*j and give k. 240 Express -h**4 + 2*h**3 + 7*h + 2*h**2 + 2*h**4 - 7*h in the form r*h**4 + w + j*h**3 + d*h + o*h**2 and give w. 0 Rearrange -p + 23*p**3 - 25*p**3 - 2 + 0*p to the form v*p**2 + t*p + m*p**3 + y and give m. -2 Rearrange 2 - p + 0 + 0*p + (-5 - 4 + 5)*(-6*p - 4*p + p) to z + g*p and give z. 2 Express -5*l**3 - 4*l**4 + l**4 - 3*l + l**2 - 3*l**3 + 2*l as p + x*l**3 + h*l**2 + a*l + o*l**4 and give a. -1 Express -3*k**3 + 0*k**3 + 4*k + 5*k**3 in the form m*k**3 + v*k + a + l*k**2 and give v. 4 Rearrange 83*l - 45*l - 13*l to the form g*l + u and give g. 25 Express -5*m**2 - 9*m + 2 - 4 - 11*m**2 + 15*m**2 as r*m**2 + s + l*m and give l. -9 Rearrange -t**4 + t**4 - t**4 + (t + 0 + 0)*(-t**3 - 2 + 2) - 4*t**4 + 22*t**4 + 4*t**4 to the form d*t**2 + v*t**3 + y + q*t**4 + f*t and give q. 20 Rearrange (-115 + 7 - 8)*(4*v - 6*v + 3*v) to z + h*v and give h. -116 Rearrange 9*a**4 + 0*a**3 + a**3 - 4*a**4 - 2477*a**2 + 2487*a**2 - 2*a to z*a**2 + h*a**3 + i*a**4 + u + g*a and give z. 10 Rearrange 1 + 24*i - 8*i**2 + 18*i**2 + 2*i**4 + 2*i**3 - 11*i**2 to c + z*i**2 + d*i**4 + y*i**3 + g*i and give y. 2 Rearrange -t - 7*t - 32*t to the form i*t + l and give i. -40 Rearrange 2 + 2*y**2 + 0*y - 4*y - 5*y**4 - 7*y + 3*y**4 to the form w*y**2 + f + x*y**3 + q*y + c*y**4 and give q. -11 Express 4*k**2 + 16*k**3 + 3*k**2 + 1 - 6*k**2 in the form m*k + r*k**3 + o*k**2 + s and give r. 16 Rearrange ((-1 - 2 + 0)*(2*s - 3*s + 3*s) - 2*s - 3*s + 3*s + 0*s + 2*s - 3*s - 2 + 2*s + 2)*(s + s - 3*s) to the form p + x*s + z*s**2 and give z. 7 Express -r**2 - 4*r**3 + 44 - 42 + 0*r**2 - 11*r**3 as w + d*r + s*r**2 + k*r**3 and give w. 2 Rearrange -21*x + 7*x + 0 + 1 - 4*x to s*x + i and give i. 1 Express -30 + 6*q + 33 + 3*q in the form c*q + f and give c. 9 Rearrange 0*v + 0*v - 6*v to the form x*v + l and give x. -6 Rearrange -2*d + 12*d**2 + 2*d to the form i + u*d + n*d**2 and give n. 12 Express (-2 + 1 + 0)*(-46*k + 477*k + 129*k + 141*k) in the form z*k + s and give z. -701 Express 8 - 2*d + 5*d**2 - 8 as t*d + w + m*d**2 and give m. 5 Rearrange -7*w**3 + w - w**4 + 10*w**2 - 16*w**2 + 11*w**2 to x*w**2 + f*w + g*w**3 + r*w**4 + b and give r. -1 Express (-6 + 4*l + 6)*(5 - 1 - 6) + (1 + 1 - 6)*(-5 + 2*l + 5) as b + x*l and give x. -16 Express (-13*x**2 - 4 + 23*x**2 - 13*x**2)*(2*x - 4*x + 4*x) as u*x**3 + h*x**2 + v*x + y and give v. -8 Rearrange 3 + 2*f + 9*f**3 - f**2 - 21*f**3 - 4 + 9*f**3 to the form w*f**3 + z*f + x + q*f**2 and give w. -3 Express ((5 + 5 - 3)*(-2 + 2 - 2*g) + (-3 + 1 + 3)*(g + 2*g - 2*g))*(0 + 2 - 3)*(5 + 2 - 3) as i*g + m and give i. 52 Express (-p - 3 + 3)*(-2*p - p + 2*p) + (3*p - p - 6*p)*(1 + 2*p - 1) in the form i*p**2 + x + z*p and give z. 0 Rearrange n**2 + 2 + n**4 - 4 + n**2 to k*n**2 + o*n**4 + x*n + r*n**3 + t and give o. 1 Express 8*l - 4*l + 15*l - 3*l in the form c*l + a and give c. 16 Express (6 + 2 - 2)*(2*v**2 - 7*v**2 + v**2) in the form f*v + u + w*v**2 and give w. -24 Express (-2 + 22 + 9 - 2*s)*(3 + 2 - 6)*(2 + 0 + 0) in the form k + g*s and give g. 4 Rearrange -389*p + 388*p - 57 - 26 to the form i + m*p and give m. -1 Express -j**4 - 16*j**3 - 8*j**3 + j + 5*j**2 + 22*j**3 + 2*j**4 in the form f*j**4 + g*j**2 + l*j**3 + c + s*j and give f. 1 Rearrange (4*b**2 - 4*b**2 + 3*b**2)*(-3*b - 2*b + 3 - 2) to n*b**3 + i*b**2 + g*b + m and give i. 3 Rearrange (-2 - 1 + 5 + p**2)*(22 - 17 + 22) to the form j + s*p + q*p**2 and give q. 27 Rearrange 0*k**3 - 4*k**3 + 2*k**3 + (0 + 1 + 1)*(-6 + 17 + 6)*(-k**3 + 5*k**3 - 5*k**3) to n*k**3 + a*k**2 + u*k + o and give n. -36 Rearrange -2*v**2 - v**2 + 12*v**3 + 4*v**2 + 0*v**3 to the form z*v**2 + u*v + i*v**3 + y and give i. 12 Rearrange (-6*l + l - 2*l)*(-l + l - 4*l) + (2 - 4 + 0)*(-2*l**2 + 5*l**2 - 2*l**2) to the form i*l**2 + m*l + x and give i. 26 Rearrange 3*k**2 - k**3 - 6*k**4 - 2 + 4*k**4 + k**4 to b*k**2 + j*k**3 + m*k + c*k**4 + v and give v. -2 Rearrange -3*a**3 + a**2 + 2*a - 3 + 168*a**4 - 167*a**4 + 4*a**3 to g + j*a**3 + k*a + p*a**4 + c*a**2 and give j. 1 Rearrange -2 + v + v + v**3 - 5*v**2 - 12*v**2 - 2*v**4 + 19*v**2 to the form y*v + u*v**2 + s*v**3 + k + r*v**4 and give k. -2 Express (2*y + 2 - 2)*(-3 + 4 - 2) + 2 - 2*y - 2 + 2*y - 2*y - 3*y + (-3 + 4 - 3)*(-5*y + 5*y - 2*y) as w + d*y and give d. -3 Express (11 - 8 - 7)*(0 - 3*g**2 - g**2 - 1) as u*g + c + h*g**2 and give h. 16 Rearrange -22 + 8 + 14 - 109*z**2 to the form q*z + n + i*z**2 and give i. -109 Rearrange 11*x**2 + 2*x**2 + 4*x**2 to l*x + h*x**2 + y and give h. 17 Express w**4 + w**2 + 8 - 8 + 7*w as x*w + p*w**2 + u + g*w**3 + t*w**4 and give p. 1 Express (-4 + 4 - 2)*(2 - 2 - 2*v) - 10 - 60*v + 10 + 15*v as c*v + n and give c. -41 Express 2*h**3 + 2*h + 0*h**4 + 0*h**3 - 4*h**3 - 8*h**4 + 2 in the form k*h**3 + m + q*h**4 + f*h + j*h**2 and give m. 2 Express 48*u**2 + 2*u - 1786 + 1786 as t*u + s*u**2 + a and give s. 48 Express 12*t - t - 3*t in the form i*t + j and give i. 8 Rearrange (1 + 3 + 1)*(35 + 2*k - 35)*((5 - 2 - 1)*(0*k + 5*k - 3*k) - k + 2 - 2) to y*k + c + t*k**2 and give t. 30 Rearrange -5*r - 412 + 209 + 202 to the form a + z*r and give z. -5 Rearrange -2*o**3 + 1 - 2*o**2 + 0 - 3 to the form j*o + i*o**3 + m + w*o**2 and give j. 0 Rearrange -a**2 - a**2 + 2 - 4 + a**2 to x*a + v*a**2 + i and give v. -1 Express (1 + 3 - 2)*((0*g + 4*g + g)*(3 + 2 - 4)*(2 - 3 + 3) + 2*g + 0*g + g) as z + b*g and give b. 26 Rearrange 0*d - 2*d + 0*d + 10*d + 11*d - 26*d + 0*d + 5*d - 4*d + (3*d + 2*d - 4*d)*(0 - 2 + 4) + d + 1 - 1 to n + c*d and give c. -3 Express (-p + p - 2*p)*(-4*p**2 + 2*p**2 + p**2) + 7 + 4*p**3 - 7 as m*p**3 + u + l*p + c*p**2 and give m. 6 Rearrange -2*y**4 + 4*y**4 - 2 - 3*y**2 - y - y**3 + 6 - 2 to the form j + o*y**3 + x*y**4 + k*y**2 + l*y and give o. -1 Express (2*x**2 - 3*x**2 + 0*x**2)*(386*x**2 - 99*x**2 - 163*x**2)*(0 + 1 + 0) in the form a*x**3 + j*x**4 + k*x + y*x**2 + u and give j. -124 Express -5*w**3 - 5*w**3 - 5*w**3 + (5*w**2 - 2*w**2 - 4*w**2)*(-16 + 16 - 4*w) in the form c*w + h*w**2 + l + f*w**3 and give f. -11 Rearrange (-4*j + 4*j + 2*j + (-j + 0*j + 0*j)*(-1 - 2 + 4) + 42*j - 43*j + 27*j)*(j + 3*j - 3*j) to d + u*j**2 + c*j and give u. 27 Rearrange 4*c**2 - 3*c**2 + 0*c**4 + 5*c**4 - 2 - c to the form z + g*c**3 + u*c + o*c**4 + h*c**2 and give h. 1 Rearrange 0*c**2 - c**2 - c**2 + 5*c**2 to l*c + o*c**2 + u and give o. 3 Rearrange (3 + 0 - 5)*(1 - 3 + 0)*(-41155 + 41155 + 219*l**3) to the form r*l + f + z*l**3 + k*l**2 and give f. 0 Express (6 + 2 - 3)*(-a + a + a) - a + 2*a - 2*a + (4 - 4 - 5*a)*(3 + 2 - 4) - a + 0*a - a in the form o + r*a and give r. -3 Rearrange -2*n + 5 - 13*n**4 + 12*n**4 + 2*n**2 - 3*n**2 + 2 to the form d*n**2 + t + v*n + u*n**4 + c*n**3
{ "pile_set_name": "DM Mathematics" }
-2*g - 19 = -4*q - 3*g, 4*q + 4*g = 16 for q. 5 Solve 5 + 17 = 5*o + 3*p, o = 5*p + 10 for o. 5 Solve -2*d = 4, 3*d - 14 = -2*r - 18 for r. 1 Solve -4*u + 5*u + 3*m = -17, u + 2*m = -12 for u. -2 Solve -5*i + 10 = -3*g, 3*g + 2*i - 10 = -3*i for g. 0 Solve -13*s - 2 = 2*l - 9*s, -3*l = -3*s + 12 for l. -3 Solve 0 = -10*u + 6*u - 2*t - 2, -5*u + 3*t + 14 = 0 for u. 1 Solve 2*i - 6*f + 6 = -8*f, 0 = 2*i + f + 8 for i. -5 Solve 5*m = 2*a + 14, -2*m - 4*a - 1 = 3 for m. 2 Solve -h - 2 + 0 = 0, 3*f = 3*h + 15 for f. 3 Solve -5*c = -2*j + 11, -5 = -4*j - 2*c + 5 for j. 3 Solve -2*a - 4*g = 29 - 1, g = -2*a - 13 for a. -4 Solve -5*w - 3*c + 9 = 0, w - 4*w - 4*c + 12 = 0 for w. 0 Solve 2*f = 4*z + 4*f - 18, 2*z - 24 = -4*f for z. 2 Solve n = 5*y - 12, 4*y = -3*n + 6*y - 10 for n. -2 Solve -2*y - 3*a - 3 = -4*a, 5*y - 3*a = -8 for y. -1 Solve 4*i = -2*p + 2, -2*p - 14*i + 13*i = -5 for p. 3 Solve 0 = -r - d - 4, 2*r + 32*d - 24 = 34*d for r. 4 Solve -f + 2 = 3*t - 8, 8 = 2*f for t. 2 Solve -15 = f - 5*l - 6, -3*l = f + 9 for f. -9 Solve -2*l = 3*f - 7, -3*l + f = -0*f + 6 for l. -1 Solve -5*s - 16 + 17 = 3*o, 2*o = 2*s - 26 for o. -8 Solve 3 = -4*b + 7*b - 5*r, -4*b = -5*r + 1 for b. -4 Solve 14*d = 11*d + 12, -5*m = 2*d + 2 for m. -2 Solve 2*i - 20 = -20*o + 16*o, -i - 15 = -3*o for o. 5 Solve -5*y = -3*j - 9, 13*j = -y + 11*j - 6 for y. 0 Solve -41*h + 8 = -39*h - 3*v, -4*h + 3*v + 4 = 0 for h. -2 Solve 3*i - q = -15, -5*q = -5*i - 4*q - 25 for i. -5 Solve 3*x - x + 5*m = 4, 8 = 4*x - 4*m for x. 2 Solve -4*u - 25 + 9 = 4*q, 3*q + 14 = -4*u for u. -2 Solve -3*p - 3*i - 3 = 0, 13 = 2*p + 31*i - 32*i for p. 4 Solve -24*c - 3*s = -22*c - 1, 3*c + 4*s - 2 = 0 for c. 2 Solve 0 = 4*x + q - 8, 0 = -4*x - 4*q + 24 - 28 for x. 3 Solve 2*d - 9 = -4*t + 15, 4 = -4*t + 5*d for t. 4 Solve j + 22 = -4*x, 2*x = x + 4*j + 3 for x. -5 Solve 3*f = 2*p - 10, -f = -3*p + f + 15 for p. 5 Solve 3 - 4 = -2*s - h, 1 = 5*s + 3*h for s. 2 Solve -4*m + 2*q = q + 21, 0 = 5*m + 3*q + 22 for m. -5 Solve 2*d + 8 = s + 6, -2*d = -2*s + 6 for d. 1 Solve -7*s + 7 = -8*s + 5*q, -q = 3*s - 11 for s. 3 Solve 5*s = x - 5, 6*s = -3*x + s - 5 for x. 0 Solve n = -4*d + 19, 5*d - 11 = -0*d + 3*n for d. 4 Solve 10 = 3*k + g, 0 = 4*k - 2*g + 41 - 71 for k. 5 Solve 5*m - z - 2 = 8*m, -2*m = -2*z + 12 for m. -2 Solve 3*z - 10 = -5*q, q - 7 = -2 for z. -5 Solve -4*q = 3*h + 32, -138*q - 2*h + 17 = -143*q for q. -5 Solve r = 2*d - 7, 10*r - 7*r + 5 = -2*d for d. 2 Solve -2 = 2*g - 2*f, f = -2*g + 4*g + 2 for g. -1 Solve z = 5*s + 25, -88*s - 10 = -4*z - 86*s for z. 0 Solve -4*h - 5*k = h - 10, 16 = -4*h + 4*k for h. -1 Solve 2*l + 16 = l - 5*a, -l + 8 = -3*a for l. -1 Solve 3*f = -3*r + 6 - 18, 4*r = -8 for f. -2 Solve -r = 3*n + 10, -5*r + 2*n + 11 + 7 = 0 for r. 2 Solve -166*s = -j - 161*s - 10, -5*s = -2*j - 5 for j. 5 Solve 2*z + 2*f - 12 = 0, 0*z + 5*z = 4*f + 12 for z. 4 Solve 9*f - 21 = 6*f - 2*l, -3*f + 18 = l for f. 5 Solve 0 = 3*a - 5*j + 16, -21*j + 17*j + 20 = 0 for a. 3 Solve 5*c + 5*d = 3*d - 18, c - 2*d + 6 = 0 for c. -4 Solve 26*k - 27*k = -5*x - 21, 0 = -4*x + 3*k - 19 for x. -4 Solve 4*q - 10 = 2*z, -5*q + z = -z - 12 for q. 2 Solve -5*u + 3 = -5*f - 3*u, u = 4 for f. 1 Solve -5*u = 6*n - 39, 4*u + 1 - 16 = -3*n for n. 9 Solve -30 + 5 = 5*k - 3*x, 13 = k + 3*x for k. -2 Solve 3*n - 10 = o, -3*o - 2*n + 21 = -4 for o. 5 Solve 0 = -5*a + n - 9, 2 = 5*a + 4*n + 16 for a. -2 Solve 0 = -4*l + 5*t - 30, 3*t - 4 = 4*l + 22 for l. -5 Solve -5*g = -4*a, -g + 84*a = 85*a for g. 0 Solve 0 = -5*t - 4*i + 12, -3*t = i - 24 + 14 for t. 4 Solve -2*m = m + 3*w - 27, 3*w = 4*m - 1 for m. 4 Solve -2*l = 2*k - 16, -3*k - 1 + 13 = 0 for l. 4 Solve 0 = -5*r + 3*w + 1 - 10, 0 = -5*r + 2*w - 11 for r. -3 Solve 3*c = -11*y + 15*y + 11, 0 = 5*c + 4*y + 35 for c. -3 Solve -4*b = -s + 11, 0 = -4*b + 3*s - s - 18 for b. -1 Solve -4 = -3*d - 3*w - 16, 3*d = 3*w for d. -2 Solve -j + 4*d + 10 = -6*j, -5*d = 0 for j. -2 Solve 0 = 2*c - s - 3*s + 18, 0 = 5*s - 15 for c. -3 Solve -7 = 5*w - 4*w + 5*s, -s - 7 = 3*w for w. -2 Solve -23 = 5*z - 2*m, 2*z + 2*m + 3*m + 15 = 0 for z. -5 Solve -2*k + 8 = -3*o + 13, 0 = 2*o + k - 1 for o. 1 Solve -3*h = -15, 0 = 5*s + 3*h + 27 - 37 for s. -1 Solve -7*f - j = -10*f + 2, 5*f + 5*j = 30 for f. 2 Solve -2*c + 4 = -3*g, -g + 3 + 9 = 2*c for g. 2 Solve -2*x = f + 1, 4*x = f - 1 - 10 for f. 3 Solve -2*a = -5*c + 4*c + 5, 8 = 3*c + a for c. 3 Solve 0 = -2*g - 3*m - 1, 4*g - 5*m + 40 = 5 for g. -5 Solve -q = -11*z + 7*z + 23, q = 3*z - 18 for z. 5 Solve 9 = 5*t - 6, u + 2 = t for u. 1 Solve 0 = k + 5*x - 11, 35 = 4*k - 9*k + 5*x for k. -4 Solve -25 = -37*m + 42*m - 5*s, -4*m + 2*s = 16 for m. -3 Solve -r = -g - 2*g + 13, 5*g - 29 = -2*r for r. 2 Solve 2*p = 5*t + 15, 0 = 2*p - 3*p - 4*t - 25 for p. -5 Solve 0 = 4*x - 5*o - 33, 8*o = 5*x + 10*o for x. 2 Solve 9*q + 20 = 14*q + 5*b, 2*b - 15 = 5*q for q. -1 Solve -3*k - 3*z = 18, -k + 2*z - 2 = 1 for k. -5 Solve -2*a + 10 = -0*a - 4*m, -4*m + 2 = 2*a for a. 3 Solve 0 = 5*x - 4*u + u - 27, -4*u - 31 = -5*x for x. 3 Solve 2*l - 3*n - 28 = -9*n, -n = 3*l - 10 for l. 2 Solve 2*b - 3*y = -7, 113 - 115 = -3*b + 2*y for b. 4 Solve -5*j + 5*n - 10 = 0, -5*n = -181*j + 179*j - 13 for j. 1 Solve 0*t + 3*o = -4*t - 31, 5*o + 41 = -4*t for t. -4 Solve 5*y + z + 3*z = 19, 4*y - 5*z = 7 for y. 3 Solve 4*h - 6 = 5*m, 0*m + 5*m = 5*h - 5 for m. -2 Solve 2*n - 3*j - 7 = 0, -4*n + 3*j + 13 = -2*j for n. 2 Solve -q + 2*q = 2*k - 1, -5*q = 5*k - 10 for k. 1 Solve 4*n = x + 29 - 32, -3*n - 8 = 5*x for n. -1 Solve f + 5*x + 9 = 0, 4*x = 3*f - x - 13 for f. 1 Solve 0*m = n - 2*m - 1, 0 = 5*n + m + 17 for n. -3 Solve 4*l - 9 = g, 4*l + 0*l + 2*g - 18 = 0 for l. 3 Solve 0 = -2*a + 2*p + 8, 4*p - 10 = -6 for a. 5 Solve -4*u + 1 = 2*s - 15, 4*u = 20 for s. -2 Solve -28 + 42 = -3*c + 5*n, 18 = -5*c + 3*n for c. -3 Solve -4*v = -2*k - 24, -5*k + 2*v = -15 + 43 for k. -4 Solve -w + 2*m = -0*m + 11, 0 = 4*m - 20 for w. -1 Solve 3*x + 37 = 5*w, 5*x - 33*w = -30*w - 35 for x. -4 Solve -5*f = -g - 21, 13*g + 5*f = 9*g + 16 for g. -1 Solve -c + 15 = -2*l - 2*l, -4*l - 5*c = -3 for l. -3 Solve -3*i = 7*w - 10*w + 3, -w - 11 = 2*i for w. -3 Solve -3*a - 6 = -4*u + u, -4*u = -3*a - 10 for a. 2 Solve -c - 4 = -k, 3*k - c = -4*c for k. 2 Solve 19 = -3*l - 4*j, 3*j + 6 = -5*l - 11 for l. -1 Solve -5*j = g + g - 9, 4*g = -5*j + 3 for j. 3 Solve 4*a + 0*a = 3*y - 10, 5*y = -3*a + 7 for y. 2 Solve y - 1 = -n, 3*y + 5*n - 15 = 8*n for y. 3 Solve 5*u = -b + 31, 2*b - 6*u + 19 + 15 = 0 for b. 1 Solve 0 = 3*v + 2*g + 2, -5*g = v + 12 + 6 for v. 2 Solve -l = 3*a + 2*a - 26, -5*a + 4*l = -21 for a. 5 Solve -5*a = 4*u + 19, 2*a + 2 + 0 = 4*u for u. -1 Solve 2*a - 8 = 4*m, 3*m = 59*a - 56*a - 9 for m. -1 Solve -4*j = n - 2, 6*n - 4*n = 2*j + 4 for j. 0 Solve -5*l - 4*j - j - 30 = 0, 0 = 5*l - j + 6 for l. -2 Solve 3*k + 11 = -4*h, -10 = -0*k + 2*k for h. 1 Solve -v - 2*s - 4 = 0, s + 4 = -v + 2*s for v. -4 Solve 4*z - 4*m + 20 = 0, 3*z + 6*m = 5*m + 1 for z. -1 Solve -25 = -3*x + 8*x + 5*h, 0 = 2*h + 6 for x. -2 Solve z + 11*l - 1 = 6*l, 0 = -4*z - 2*l + 22 for z. 6 Solve -g - 1 = u, -39*g + 55 = -34*g - 5*u for g. 5 Solve 2*y - 12 = 4*j - 20, 20 = 5*j for y. 4 Solve 3*x + 3 = -3*o, x - 1 = 3*o + 6*x for o. -2 Solve -2*j - a = -5, 2*a + 7 = -5*j + 6*a for j. 1 Solve -5*t = -4*i + 61 - 48, 3*i + 4*t - 2 = 0 for i. 2 Solve 4*b - 5 = 5*h, b - 2*h + 10 = 15 for b. -5 Solve 2*b = -2*j + 6, -4*b + j = 2*j for b. -1 Solve -3*o = -3*p + 6, -3*p - 39 = 2*o - 25 for o. -4 Solve 4*a + 5*r + 9 = 0, -a - 1 = r + 1 for a. -1 Solve 3*j = -3*s - 9, 134*j - 4*s = 131*j - 16 for j. -4 Solve m = 2*x + 11, 4*x - 3*x + 6 = m for x. -5 Solve -5*q + 0*j + 7 = -4*j, -3*q = -5*j - 12 for q. -1 Solve 3*r = -s + 9, 5 - 4 = -3*s + 5*r for s. 3 Solve 2*h = -2*r, r - 2 = 3*h + 6 for h. -2 Solve -4*g + 3*o = -12 - 2, -3*g - 3*o + 21 = 0 for g. 5 Solve t + 5 = -2*l, 25 = -3*l - 36*t + 38*t for l. -5 Solve -3*j = -2*g - 5, -3*j = -4*g - 2 + 1 for g. 2 Solve 0 = -2*y - y - 5*a - 40, 0 = -3*y + 3*a for y. -5 Solve l = 3*y + 20, 20 = 7*l - 9*l - 4*y for l. 2 Solve j - 6 = 0, -3*p + 12*j - 24 = 10*j for p. -4 Solve u = -4*m + 21, 2*m + 3*u - 8 - 5 = 0 for m. 5 Solve 3*a + 15 = -5 + 14, a = r for r. -2 Solve -6*x +
{ "pile_set_name": "DM Mathematics" }
- 10111102? 1202120102 In base 6, what is -4 + 143152110? 143152102 In base 14, what is 4818 + 40d? 4c27 In base 12, what is 94a9 + 7b? 9568 In base 15, what is 28 + 10d52? 10d7a In base 12, what is -3 - 5662556? -5662559 In base 9, what is 20530573 + 111? 20530684 In base 4, what is -13230 + -1110103021? -1110122311 In base 15, what is 20 + -11a6? -1186 In base 7, what is 4 + 60616113? 60616120 In base 15, what is 37d50 + -3b? 37d14 In base 11, what is 9898 + 469? a256 In base 4, what is -102213032302 + -110? -102213033012 In base 4, what is 3312022 - 20323? 3231033 In base 13, what is 2611 - 434? 21aa In base 6, what is -112 - -15221345? 15221233 In base 15, what is 3 - -2e819a0? 2e819a3 In base 10, what is -56065201 + 12? -56065189 In base 6, what is 4 + -12020002? -12015554 In base 14, what is -555 + -2617? -2b6c In base 6, what is -114551 - -30542? -44005 In base 13, what is -15441 + -12? -15453 In base 6, what is -32055 + 4405? -23250 In base 13, what is 5c + 3c3c30? 3c3c8c In base 5, what is -2410132 + -123240? -3033422 In base 10, what is 345 + 11633? 11978 In base 11, what is 19 + 172453? 172471 In base 12, what is -4a + -550550? -55059a In base 7, what is -21665 - -1024? -20641 In base 12, what is -32 - 6612? -6644 In base 13, what is 2b + -5950ac? -595081 In base 16, what is 2 + 5930d2? 5930d4 In base 11, what is 66 + 1121456? 1121511 In base 7, what is -1114065 + -35021? -1152116 In base 14, what is 17d1bb87 - 0? 17d1bb87 In base 7, what is -20453213 - -6? -20453204 In base 15, what is -243 + -235c7? -2381a In base 2, what is 1110101001110011111 + -101? 1110101001110011010 In base 4, what is 10 - 100020123030? -100020123020 In base 7, what is 3252 + 2253114? 2256366 In base 10, what is -137 - -321147? 321010 In base 9, what is 54175800 - 0? 54175800 In base 7, what is 13 + -23144430? -23144414 In base 7, what is -2024 + 41555? 36531 In base 5, what is -133044 - 32312? -220411 In base 10, what is -1011035 - -29? -1011006 In base 10, what is 1079 - 1178? -99 In base 8, what is 101711423 - 2? 101711421 In base 15, what is e3 + 92a4a? 92b3d In base 3, what is -2122 - -20021001222001? 20021001212102 In base 2, what is 10010 + 11010110001110? 11010110100000 In base 4, what is 0 - -100022012323211? 100022012323211 In base 8, what is 4726552 + 54? 4726626 In base 9, what is -51363 - 1113? -52476 In base 13, what is -17 + 286b7c? 286b65 In base 11, what is a4 - 1213608? -1213514 In base 4, what is -2 + -31211232113? -31211232121 In base 11, what is -a836832 - -12? -a836820 In base 14, what is -63acb + -7? -63ad4 In base 9, what is 7748 + 88? 7847 In base 13, what is a5bc + 80a3? 15692 In base 13, what is 1 + -104a88c? -104a88b In base 8, what is 35175 + -6371? 26604 In base 9, what is 6 - 4541348? -4541342 In base 6, what is -1213551 - 43? -1214034 In base 5, what is 12042 + 1200320? 1212412 In base 6, what is -1513133 - -222? -1512511 In base 9, what is -4826028 + -3? -4826032 In base 8, what is -126446076 + -3? -126446101 In base 14, what is -95408 - 29? -95433 In base 9, what is 7750 + 546? 8406 In base 2, what is 101 + 1001000110101111110010? 1001000110101111110111 In base 8, what is 2637527 + 302? 2640031 In base 5, what is -32 + -12100004? -12100041 In base 13, what is -202869 - 27? -202893 In base 6, what is -2043543 - -45? -2043454 In base 9, what is -5127757 + 12? -5127745 In base 13, what is 4056 + 12814? 1686a In base 4, what is 221 + -133233231220? -133233230333 In base 5, what is -4000344 - -133? -4000211 In base 5, what is 100241202434 - 4? 100241202430 In base 10, what is 1818 + -3168? -1350 In base 4, what is 102033223030 + -3? 102033223021 In base 7, what is -230 - 2616636? -2620166 In base 2, what is 1000011010011011101 + -1110001? 1000011010001101100 In base 8, what is -220 - 265121? -265341 In base 13, what is -140b02 + 71? -140a61 In base 15, what is -528dd7 + -8? -528de0 In base 2, what is -1101100101001010111001011 + -101? -1101100101001010111010000 In base 14, what is -59491 + -3d6? -59887 In base 11, what is -55085 + -16? -550a0 In base 2, what is -1011100110110111 - 100111110010? -1100001110101001 In base 14, what is 7ca + 566? d52 In base 4, what is 3020312230 - 21? 3020312203 In base 7, what is -5015446315 + 0? -5015446315 In base 2, what is -10000001 + -1001101101001001011? -1001101101011001100 In base 7, what is -1144632115 - 3? -1144632121 In base 3, what is 21122100200002 - 12111? 21122100110121 In base 5, what is 223 + 1204310110? 1204310333 In base 15, what is -1 - -1a38eea2? 1a38eea1 In base 16, what is 10af + 3b8? 1467 In base 12, what is 5b9a367 - -2? 5b9a369 In base 14, what is -b7 + 68ab? 67d4 In base 3, what is 121000012 - -21210? 121021222 In base 4, what is -1 + 2011001100? 2011001033 In base 8, what is -3403 + -12571? -16174 In base 14, what is 78 + -3904? -386a In base 7, what is -31513506 - 2? -31513511 In base 5, what is -221 + 341323020? 341322244 In base 4, what is 33 + 31101201? 31101300 In base 13, what is -47834bc6 + -4? -47834bca In base 10, what is -1 - 814462? -814463 In base 14, what is a60 + -32b1? -2651 In base 8, what is 31715414 + 372? 31716006 In base 14, what is -321 - 4388? -46a9 In base 16, what is 54a12 + -52e? 544e4 In base 7, what is -413166451 - -13? -413166435 In base 8, what is -3 + -262670155? -262670160 In base 4, what is -130211 + 33123? -31022 In base 5, what is -22322000 - -114? -22321331 In base 4, what is 120300202223 - 0? 120300202223 In base 6, what is 14114512 - -15? 14114531 In base 3, what is 2021100011 + -2020? 2021020221 In base 3, what is -111210012 - 20022? -112000111 In base 15, what is 1 + 7bd9a? 7bd9b In base 7, what is -226013540 + 3? -226013534 In base 3, what is -101010212022110 - 10? -101010212022120 In base 9, what is 55764518 + -6? 55764512 In base 4, what is -113323101 - 20330? -120010031 In base 4, what is -3 - -1211331111123? 1211331111120 In base 5, what is -10004012 + 241124? -4212333 In base 7, what is 4 + -52046643? -52046636 In base 7, what is 256420354 + 3? 256420360 In base 7, what is -1352 + 1224506? 1223124 In base 3, what is 100 + -1020102121? -1020102021 In base 13, what is -26 + 148bbc? 148b96 In base 9, what is 1 - 25352658? -25352657 In base 9, what is 3 - 6650055? -6650052 In base 2, what is -100 + 10111110110110010010101010? 10111110110110010010100110 In base 7, what is 650331 + -10? 650321 In base 6, what is -3 + 201131114? 201131111 In base 16, what is -5744dc - -b? -5744d1 In base 9, what is -3351455 + -14? -3351470 In base 3, what is -1002010002 - -10001? -1002000001 In base 8, what is -571177 - -302? -570675 In base 13, what is 262a9 - -a2? 2637b In base 3, what is 121100210 + 1122011? 122222221 In base 3, what is 1010001201201202001 + 11? 1010001201201202012 In base 6, what is 32535214151 + 4? 32535214155 In base 6, what is -24512243440 - 3? -24512243443 In base 16, what is a + 6ccfba? 6ccfc4 In base 11, what is 270a31 + 6? 270a37 In base 14, what is -29210c1 + 5? -29210ba In base 9, what is -4 - -677382? 677377 In base 6, what is -4 + 453115200? 453115152 In base 7, what is -61150 + -10454? -101634 In base 5, what is -10 - 1410032412? -1410032422 In base 10, what is 47524900 - 1? 47524899 In base 10, what is 8826 - 16872? -8046 In base 12, what is 79 - -65a643? 65a700 In base 6, what is 403 - 41124353? -41123550 In base 10, what is -1808679 + -8? -1808687 In base 6, what is -122000 + 214? -121342 In base 11, what is -10942a74 - -11? -10942a63 In base 4, what is -103231 + 1033220120? 1033110223 In base 8, what is 637714 - -36? 637752 In base 7, what is 11312131 - 1231? 11310600 In base 2, what is -11 - 1010011101011101100001111? -1010011101011101100010010 In base 6, what is 211230412 + 51? 211230503 In base 3, what is 10 - -111121102020111? 111121102020121 In base 11, what is 34125 + -a94? 33141 In base 4, what is 1332 - -1332312? 2000310 In base 11, what is 24700 - 8408? 172a3 In base 9, what is 38577870 - -12? 38577882 In base 5, what is 243 + -22241234? -22240441 In base 8, what is -44524 + -1126? -45652 In base 5, what is 4114210014 + -14? 4114210000 In base 6, what is 30342340 + -3? 30342333 In base 5, what is 2144124 - 2? 2144122 In base 3, what is -10 + -112002212221211? -112002212221221 In base 5, what is 2404
{ "pile_set_name": "DM Mathematics" }
72, -13144? -599*x**2 + 17*x + 8318 What is the y'th term of -491, -1724, -3783, -6668? -413*y**2 + 6*y - 84 What is the c'th term of 14423, 19336, 27531, 39014, 53791, 71868? c**3 + 1635*c**2 + c + 12786 What is the v'th term of 173894, 174321, 174748, 175175, 175602, 176029? 427*v + 173467 What is the f'th term of 87181, 174337, 261495, 348655, 435817, 522981? f**2 + 87153*f + 27 What is the o'th term of -1754, -3270, -4760, -6212, -7614? 2*o**3 + o**2 - 1533*o - 224 What is the p'th term of -3802649, -7605298, -11407947, -15210596, -19013245, -22815894? -3802649*p What is the j'th term of 107342007, 214684018, 322026029? 107342011*j - 4 What is the h'th term of -12630, -12295, -11728, -10923, -9874, -8575? h**3 + 110*h**2 - 2*h - 12739 What is the t'th term of 265670, 265891, 266250, 266741, 267358? -t**3 + 75*t**2 + 3*t + 265593 What is the y'th term of -85503, -87260, -89031, -90822, -92639? -y**3 - y**2 - 1747*y - 83754 What is the z'th term of 332212, 332188, 332164, 332140, 332116, 332092? -24*z + 332236 What is the k'th term of 1881, 5118, 10585, 18336, 28425? 9*k**3 + 1061*k**2 - 9*k + 820 What is the w'th term of 4069, 14507, 31873, 56167? 3464*w**2 + 46*w + 559 What is the m'th term of -8067, -7982, -7873, -7740, -7583, -7402? 12*m**2 + 49*m - 8128 What is the t'th term of -328864, -329009, -329152, -329293? t**2 - 148*t - 328717 What is the b'th term of 979383, 7835251, 26444037, 62682201, 122426203, 211552503, 335937561, 501457837? 979410*b**3 - b**2 + b - 27 What is the u'th term of -2685764, -5371595, -8057494, -10743461, -13429496, -16115599, -18801770? -34*u**2 - 2685729*u - 1 What is the h'th term of 1976, -2376, -6728, -11080, -15432? -4352*h + 6328 What is the i'th term of -267262, -534529, -801782, -1069015, -1336222, -1603397, -1870534, -2137627? i**3 + i**2 - 267277*i + 13 What is the z'th term of -192440083, -192440081, -192440079, -192440077, -192440075? 2*z - 192440085 What is the p'th term of 3587083, 7174167, 10761261, 14348371, 17935503, 21522663, 25109857, 28697091? p**3 - p**2 + 3587080*p + 3 What is the h'th term of -144, -119, -98, -81, -68? -2*h**2 + 31*h - 173 What is the z'th term of -11347, -22697, -34017, -45295, -56519, -67677, -78757? 2*z**3 + 3*z**2 - 11373*z + 21 What is the h'th term of 218126, 218084, 218044, 218006, 217970? h**2 - 45*h + 218170 What is the m'th term of 57393, 122326, 187259? 64933*m - 7540 What is the c'th term of 100511, 108752, 116993, 125234, 133475? 8241*c + 92270 What is the x'th term of 19351, 19268, 19093, 18796, 18347, 17716, 16873? -5*x**3 - 16*x**2 + 19372 What is the z'th term of 328268, 656559, 984890, 1313273, 1641720? 2*z**3 + 8*z**2 + 328253*z + 5 What is the k'th term of 5954824, 5954827, 5954830, 5954833, 5954836, 5954839? 3*k + 5954821 What is the z'th term of -799, 393, 5595, 16811, 36045? 334*z**3 + z**2 - 1149*z + 15 What is the l'th term of 2311, 9040, 20131, 35482, 54991, 78556? -17*l**3 + 2283*l**2 - l + 46 What is the b'th term of -179, -297, -491, -767, -1131, -1589, -2147, -2811? -b**3 - 32*b**2 - 15*b - 131 What is the o'th term of -58189, -117351, -176517, -235687, -294861, -354039? -2*o**2 - 59156*o + 969 What is the w'th term of -2582681, -5165377, -7748091, -10330823, -12913573, -15496341? -9*w**2 - 2582669*w - 3 What is the z'th term of 5137, 5083, 5013, 4927, 4825, 4707? -8*z**2 - 30*z + 5175 What is the m'th term of 143327, 1145321, 3865019, 9161273, 17892935, 30918857, 49097891, 73288889? 143142*m**3 + 185 What is the h'th term of 3376172, 3376197, 3376224, 3376253, 3376284, 3376317, 3376352? h**2 + 22*h + 3376149 What is the w'th term of 369, 3843, 13239, 31509, 61605, 106479? 492*w**3 + 9*w**2 + 3*w - 135 What is the l'th term of -738461, -735588, -732715, -729842? 2873*l - 741334 What is the t'th term of -760203, -759784, -759365, -758946? 419*t - 760622 What is the r'th term of 26217, 26543, 26869, 27195? 326*r + 25891 What is the c'th term of 12010, 24152, 36486, 49108, 62114, 75600, 89662, 104396? 16*c**3 + 12030*c - 36 What is the d'th term of -1427, 1, 1359, 2611, 3721, 4653, 5371, 5839? -6*d**3 + d**2 + 1467*d - 2889 What is the g'th term of -13315, -26661, -40003, -53341, -66675, -80005, -93331? 2*g**2 - 13352*g + 35 What is the w'th term of -735104, -1470226, -2205374, -2940560, -3675796, -4411094, -5146466? -2*w**3 - w**2 - 735105*w + 4 What is the f'th term of 12178, 10339, 8500, 6661? -1839*f + 14017 What is the j'th term of -376411, -752816, -1129211, -1505596, -1881971, -2258336? 5*j**2 - 376420*j + 4 What is the o'th term of 258361, 258413, 258465, 258517? 52*o + 258309 What is the c'th term of 871, 1737, 2543, 3289, 3975, 4601? -30*c**2 + 956*c - 55 What is the f'th term of -118132, -473035, -1064540, -1892647, -2957356, -4258667, -5796580? -118301*f**2 + 169 What is the g'th term of -2328366, -4656739, -6985112, -9313485, -11641858? -2328373*g + 7 What is the x'th term of -1840792, -3681583, -5522374, -7363165, -9203956? -1840791*x - 1 What is the v'th term of -35, 313, 1437, 3721, 7549, 13305, 21373? 64*v**3 + 4*v**2 - 112*v + 9 What is the q'th term of 98635, 197280, 295939, 394618, 493323? q**3 + q**2 + 98635*q - 2 What is the d'th term of 9188, 838, -7512, -15862? -8350*d + 17538 What is the m'th term of -15979, -63925, -143841, -255727, -399583, -575409, -783205? -15985*m**2 + 9*m - 3 What is the c'th term of -92351402, -184702803, -277054204, -369405605? -92351401*c - 1 What is the z'th term of -85368, -84473, -83590, -82725, -81884, -81073, -80298? -z**3 + 902*z - 86269 What is the p'th term of -16456225, -16456211, -16456185, -16456141, -16456073, -16455975? p**3 + 7*p - 16456233 What is the b'th term of 858597, 858574, 858565, 858576, 858613, 858682? b**3 + b**2 - 33*b + 858628 What is the w'th term of 283316, 566637, 849962, 1133291, 1416624, 1699961, 1983302? 2*w**2 + 283315*w - 1 What is the p'th term of -15272410, -30544824, -45817248, -61089688, -76362150? -p**3 + p**2 - 15272410*p What is the r'th term of -6966590, -13933181, -20899772, -27866363, -34832954, -41799545? -6966591*r + 1 What is the y'th term of -284290, -569133, -853976, -1138819, -1423662, -1708505? -284843*y + 553 What is the k'th term of -62524, -125039, -187540, -250021, -312476? k**3 + k**2 - 62525*k - 1 What is the f'th term of 18019410, 36038825, 54058244, 72077667, 90097094? 2*f**2 + 18019409*f - 1 What is the w'th term of 305056, 1225822, 2760440, 4908916, 7671256? w**3 + 306920*w**2 - w - 1864 What is the t'th term of 890, 3698, 8400, 15014, 23558, 34050, 46508? 3*t**3 + 929*t**2 - 42 What is the g'th term of 43672, 44070, 44466, 44860? -g**2 + 401*g + 43272 What is the g'th term of 1351125, 1351037, 1350949, 1350861? -88*g + 1351213 What is the c'th term of -740, -1982, -3670, -5804, -8384, -11410? -223*c**2 - 573*c + 56 What is the c'th term of -43407, -46313, -49213, -52107, -54995, -57877, -60753? 3*c**2 - 2915*c - 40495 What is the q'th term of -599130, -1198261, -1797394, -2396529, -2995666? -q**2 - 599128*q - 1 What is the i'th term of -22094, -25475, -31118, -39029, -49214? -i**3 - 1125*i**2 + i - 20969 What is the v'th term of 1684, 2944, 4214, 5500, 6808, 8144? v**3 - v**2 + 1256*v + 428 What is the x'th term of 518, 4826, 16656, 39770, 77930? 627*x**3 - x**2 - 78*x - 30 What is the s'th term of -206180535, -206180542, -206180549, -206180556? -7*s - 206180528 What is the u'th term of 556, 2154, 4738, 8254, 12648, 17866? -9*u**3 + 547*u**2 + 20*u - 2 What is the b'th term of 453780, 453644, 453414, 453096, 452696? b**3 - 53*b**2 + 16*b + 453816 What is the k'th term of 6313, 26720, 60731, 108346, 169565? 6802*k**2 + k - 490 What is the l'th term of -1032111, -2064193, -3096275, -4128357, -5160439, -6192521? -1032082*l - 29 What is the c'th term of -6570195, -6570209, -6570223, -6570237, -6570251, -6570265? -14*c - 6570181 What is the q'th term of -2513211, -2513146, -2513081? 65*q - 2513276 What is the q'th term of 974, 3922, 8950, 16154, 25630, 37474, 51782? 16*q**3 + 944*q**2 + 4*q + 10 What is the m'th term of -412763, -412841, -413059, -413489, -414203? -12*m**3 + 2*m**2 - 412753 What is the o'th term of 241570537, 241570539, 241570543, 241570549? o**2 - o + 241570537 What is the i'th term of 539079, 539118, 539157, 53919
{ "pile_set_name": "DM Mathematics" }
most as big as 0? False Which is bigger: -1 or 1/157906? 1/157906 Does -1824 = -2718? False Which is smaller: -992519 or -992520? -992520 Is 9095 > 9474? False Which is smaller: 14.77 or -15/22? -15/22 Is 3552742/7 < 507534? False Which is smaller: -47 or -2168/7? -2168/7 Are -96371 and -96375 unequal? True Is -43811/42 less than or equal to -1042? True Is 142 less than or equal to 86? False Which is bigger: 1084108 or -0.2? 1084108 Is -8 greater than -2427/365? False Is -35374 != -3? True Which is smaller: -1 or 15/2269? -1 Which is smaller: 1/87691 or -1/4? -1/4 Which is smaller: 1960/9 or 0.275? 0.275 Which is smaller: -1/156036 or 0.1? -1/156036 Which is greater: 3335 or 3334? 3335 Is 8047308 > 8047308? False Is 68029 bigger than -4? True Which is bigger: -0.9 or 5259? 5259 Which is smaller: 4/7 or -3.2504? -3.2504 Does -2/6563 = -1? False Are -9.59 and -725 nonequal? True Is 1163/29 equal to -7? False Is -5197 at least as big as -5193? False Which is smaller: -603/5 or -121? -121 Is 4768 less than or equal to 4832? True Is -3/66044 equal to -1? False Is -10.2 less than -1/1502? True Is -1 > 207/820? False Is -1180 < -1194? False Which is smaller: -1393 or 330? -1393 Which is smaller: 2183.4 or 5? 5 Which is bigger: -50/5693 or -1? -50/5693 Is -3163/62 equal to -51? False Is 683/48 less than or equal to 15? True Do 72 and -45 have different values? True Is 1/4464059 greater than -1? True Which is smaller: 3087 or -92? -92 Which is greater: 0.045 or -1/5327? 0.045 Is -23/117432 greater than or equal to -1? True Is -118/27223 greater than -1? True Is -366 at most -366? True Is 5 < -0.05181? False Which is greater: 8 or -20.95? 8 Which is smaller: -132793 or -132825? -132825 Which is greater: 23227 or 23219? 23227 Which is bigger: 382116 or 382113? 382116 Which is smaller: -516135 or -516134? -516135 Which is smaller: -6/156625 or 1? -6/156625 Which is smaller: -1 or -588/14065? -1 Is -3316 >= -3314? False Are 7.2909 and -0.3 nonequal? True Is 1633 <= 5? False Which is smaller: 2 or -36855? -36855 Is -1/352956 not equal to -1? True Which is smaller: -1 or -61/4336? -1 Are 2430 and 2618 equal? False Is 51065 bigger than 459592/9? False Which is bigger: -17679 or -17675? -17675 Is -3235272 bigger than -3235270? False Are 37183 and 37175 unequal? True Which is greater: -0.05 or 1300? 1300 Which is smaller: 1 or 1/155042? 1/155042 Which is greater: 11972/331 or 36? 11972/331 Which is bigger: 0.1 or 335863? 335863 Is 21167/18 greater than 1175? True Are -3/20009 and -1 nonequal? True Is 1 != -0.5409899? True Is -1935 > -1959? True Which is smaller: 1 or 3/850694? 3/850694 Which is greater: 4163753 or 4163754? 4163754 Does 462435 = 462434? False Which is smaller: -1 or 1/325942? -1 Do -6 and 3280 have the same value? False Which is bigger: -101078 or -101074? -101074 Which is smaller: 3193.26 or -0.1? -0.1 Does 1 = -1/8796? False Is 1182/1097 greater than or equal to 2? False Which is greater: -2/3 or -284125? -2/3 Is -129 less than or equal to 4006? True Is -6533 > -6533? False Is 26/5 < 20.82? True Which is smaller: -653749 or 0? -653749 Is -14362 bigger than -14366? True Which is smaller: 8682/283 or -2/3? -2/3 Which is bigger: -5009 or -0.53? -0.53 Which is smaller: 3014 or 15? 15 Is -921991/6 at most -153664? True Which is smaller: -23704 or -165926/7? -23704 Is -68/309 equal to -1? False Which is smaller: -9273 or -9286? -9286 Which is greater: 1 or 7/521078? 1 Which is bigger: 1 or -4/249557? 1 Which is smaller: 149 or 196? 149 Is -81808/7 != -11686? True Does -3119 = -3172? False Is 3/506038 >= 1? False Is -127544 less than -127544? False Which is greater: 0 or -29/3357? 0 Is 1544/211 smaller than 7? False Is 23085 smaller than 23086? True Is 6616 < 0.0376? False Is -1636 less than or equal to -2/1363? True Is -54661 <= -54662? False Which is smaller: 2505923/2 or 1252962? 2505923/2 Which is bigger: -113639 or -113668? -113639 Do -18214 and -5.6 have the same value? False Is -0.0229 greater than or equal to -0.1? True Is 2502 smaller than 2510? True Is 10114907 equal to 10114907? True Which is smaller: 2345 or 1964? 1964 Is -112699/2 < -56350? False Are 1812 and 17 unequal? True Which is greater: -8991 or -8990? -8990 Is 4242 < -0.7? False Which is smaller: -2973 or 11? -2973 Which is bigger: -3/260 or 653? 653 Which is smaller: 440229 or 0.1? 0.1 Is 42 at most as big as -97? False Which is smaller: 3/603520 or 0? 0 Which is smaller: -16075 or -64? -16075 Which is smaller: 16/9953 or 1? 16/9953 Which is smaller: -1 or 1/457750? -1 Are 6197 and 6195 equal? False Which is greater: 1 or 243/3952? 1 Is 5 equal to 1973/445? False Which is greater: -920 or -6431/7? -6431/7 Which is greater: 2978 or -156? 2978 Is -9906 at least -9906? True Is -476500 > -476499? False Which is smaller: -54769/5 or -10955? -10955 Is -33261 smaller than -33194? True Is 543331 bigger than 543329? True Which is bigger: -24 or -2960/127? -2960/127 Is 4.8 greater than -0.0411? True Which is greater: 18367 or 18369? 18369 Is -46889 less than -46900? False Which is smaller: 353 or -1998? -1998 Which is smaller: -23075 or -23065? -23075 Which is bigger: 10493 or 10495? 10495 Is -3 smaller than 2598? True Which is greater: -253/177 or -1? -1 Which is bigger: 155527 or 155526? 155527 Which is smaller: 9003 or 12? 12 Which is smaller: -145 or -581/4? -581/4 Are -0.11 and -6/25 unequal? True Do -8860 and 16/5 have different values? True Are -4611 and -4627 non-equal? True Is 16129 >= 16133? False Is -234 not equal to -240? True Do 0.1 and 25886.7 have the same value? False Is 47 greater than 51? False Which is greater: 18/22439 or -1? 18/22439 Is 50413 < 14? False Is -619 smaller than -8066/13? False Is 2 at least as big as 112380? False Which is smaller: -0.101 or 3? -0.101 Does 1013 = -33? False Which is smaller: 0.0245527 or -1/4? -1/4 Is 2/1878103 bigger than 0? True Is 2804 greater than 4657? False Is 1 <= -133/9225? False Is -327948 at most -2951542/9? False Which is smaller: -317148 or -1268589/4? -317148 Is -10452/4739 less than -1? True Is -115122/13 at most -8857? False Which is smaller: 1079 or 35573/33? 35573/33 Which is bigger: 751550 or -0.06? 751550 Is -5275 < 2? True Which is smaller: -0.04 or 55424? -0.04 Which is smaller: 4/107 or -3/13? -3/13 Which is greater: -82 or 12656? 12656 Is 818 at least 1096? False Which is smaller: 34885 or 34888? 34885 Which is greater: -21/1573 or 1? 1 Are -3/155 and -16/5 non-equal? True Which is bigger: -8867 or -8925? -8867 Which is smaller: 1 or 82/8409? 82/8409 Is 41/3 bigger than -174? True Do -80301 and -80296 have the same value? False Which is smaller: 0 or 98/497883? 0 Do 1252421 and 1252421 have the same value? True Is 835.2 greater than 2/3? True Which is smaller: 445 or -3887? -3887 Are 16213 and 15 unequal? True Which is smaller: -752 or -684? -752 Is 179/2424 less than or equal to -0.1? False Which is bigger: 43774 or 175095/4? 43774 Is -1222 not equal to -106216/87? True Is -9095 less than -9095? False Is 12303 > 61512/5? True Which is bigger: -68698 or -68704? -68698 Are -1/4 and 2/383605 unequal? True Does -310 = -269? False Is 20/13723 smaller than 1? True Is -3601 <= -3599? True Which is greater: 1 or 4/1679781? 1 Is 2/5 less than -1377616/7? False Which is smaller: 268414 or 268410? 268410 Which is smaller: -574 or -585? -585 Which is smaller: -0.239 or -232? -232 Are 530 and 0.1 unequal? True Is 20427 less than 61282/3? True Does 120182 = 120184? False Which is greater: -1 or -16/183541? -16/183541 Is 2951143 smaller than 2951143? False Which is smaller: 2/110975 or 1? 2/110975 Which is smaller: 498 or -0.022? -0.022 Is -13/6322 greater than or equal to 0? False Are -1128 and -220 nonequal? True Is 6037 less than -137? False Is 28 < -1003? False Which is smaller: -2/1293 or 0.25? -2/1293 Which is bigger: -37287 or -37285? -37285 Are 2/8839355 and -1 non-equal? True Which is bigger: 2120 or 16965/8? 16965/8 Which is greater: 7.0177 or 0.2? 7.0177 Is -1 greater than or equal to -3/2700322? False Which is greater: 37905 or 37908? 37908 Which is smaller: 0 or -10/906811? -10/906811 Is -111525 less than or equal to -111498? True Which is bigger: 5579957 or 5579956? 5579957 Do 242 and 6713 have the same value?
{ "pile_set_name": "DM Mathematics" }
5, 6 in descending order. 14, 6, 5 Put 1/3, -1/4, -12 in descending order. 1/3, -1/4, -12 Sort 3, -3, -7, 12, 4 in decreasing order. 12, 4, 3, -3, -7 Sort 0, 15013, -4 in decreasing order. 15013, 0, -4 Put -7, 64, 4 in descending order. 64, 4, -7 Sort -27, 1, -2, -3, -1. -27, -3, -2, -1, 1 Sort -3, 9, -31 in decreasing order. 9, -3, -31 Sort -34, 78, 5 in descending order. 78, 5, -34 Sort -24, -5, -21. -24, -21, -5 Sort 0.02, -2, 0.3, 474. -2, 0.02, 0.3, 474 Sort 45, 5, 3, 1 in descending order. 45, 5, 3, 1 Put 14, 1, 39, 0.4 in descending order. 39, 14, 1, 0.4 Sort 1, 3, 0.4 in decreasing order. 3, 1, 0.4 Sort 2, -0.53, 2/3 in decreasing order. 2, 2/3, -0.53 Sort -8, -5, 5 in increasing order. -8, -5, 5 Put -4, -2, -22 in descending order. -2, -4, -22 Sort -3, 6, 5 in descending order. 6, 5, -3 Sort -6/19, 3, -1, 8, 2. -1, -6/19, 2, 3, 8 Sort 1, -752, -3. -752, -3, 1 Sort 4, -3, -4, -8, -5 in decreasing order. 4, -3, -4, -5, -8 Put -5, 13, 53 in descending order. 53, 13, -5 Sort 1/4, 0, 0.7, -1. -1, 0, 1/4, 0.7 Put 2, 1, -2, -9 in decreasing order. 2, 1, -2, -9 Sort -2, 1/9, 6, 4/9, 3/8. -2, 1/9, 3/8, 4/9, 6 Put 25, 5, 2 in descending order. 25, 5, 2 Sort 1, 4, 5 in increasing order. 1, 4, 5 Put -6, -4, 38 in increasing order. -6, -4, 38 Sort -3, -2, 66. -3, -2, 66 Sort -60, 0, 2, 4 in descending order. 4, 2, 0, -60 Sort -5, 4, -55. -55, -5, 4 Sort -3, 4, -34 in decreasing order. 4, -3, -34 Put -15, 0.1, 14 in increasing order. -15, 0.1, 14 Sort -4, -9, 11 in decreasing order. 11, -4, -9 Put 1/6, 2.5, -3/8, 2/15 in decreasing order. 2.5, 1/6, 2/15, -3/8 Sort 12, 5, -4, 4 in ascending order. -4, 4, 5, 12 Sort -2/7, -2, -185/4, -3 in ascending order. -185/4, -3, -2, -2/7 Sort 4, -3, -5, 0, -2. -5, -3, -2, 0, 4 Put -7, 21, -5 in ascending order. -7, -5, 21 Put 4, -1, -5, -55 in ascending order. -55, -5, -1, 4 Sort 4, -3, 107, -2, -5 in descending order. 107, 4, -2, -3, -5 Sort 158, -5, -4. -5, -4, 158 Put 893, 0.4, -1 in ascending order. -1, 0.4, 893 Sort 0, -2, 0.3, -12, -5 in increasing order. -12, -5, -2, 0, 0.3 Sort -5, 4, 7, 181 in increasing order. -5, 4, 7, 181 Sort 2, -1, 8, -4 in decreasing order. 8, 2, -1, -4 Sort 27, -4, 2/13, 0.2 in decreasing order. 27, 0.2, 2/13, -4 Sort -3, -14, -22, -1 in decreasing order. -1, -3, -14, -22 Put 2, -1, 14, 1 in decreasing order. 14, 2, 1, -1 Put -2225, 1, -1 in ascending order. -2225, -1, 1 Sort -1/5, 1/12, 7 in ascending order. -1/5, 1/12, 7 Put 176, -0.4, 0.4 in descending order. 176, 0.4, -0.4 Sort -6, -2.6, -2/5 in descending order. -2/5, -2.6, -6 Put 4/3, -5, 3, -0.3 in decreasing order. 3, 4/3, -0.3, -5 Sort 14, 1, 5 in descending order. 14, 5, 1 Put -22, 0, -13 in decreasing order. 0, -13, -22 Sort 2/3, -2, 5, 3. -2, 2/3, 3, 5 Put -5, 4, 0 in increasing order. -5, 0, 4 Sort 1642, 12, 4. 4, 12, 1642 Sort 3, 4, 26.86, -1 in decreasing order. 26.86, 4, 3, -1 Sort 1/11, 4, -397/4. -397/4, 1/11, 4 Sort 2, 1163, 1, 5, -3. -3, 1, 2, 5, 1163 Sort 0, -6, 2, -5. -6, -5, 0, 2 Put -0.3, 29, -0.1, -0.5 in descending order. 29, -0.1, -0.3, -0.5 Sort 23, -0.3, 0.3, 0.1, -4 in increasing order. -4, -0.3, 0.1, 0.3, 23 Put 5, -3, 4, -6 in decreasing order. 5, 4, -3, -6 Sort 5, 21, -2, -21 in descending order. 21, 5, -2, -21 Put -4, -5, 21, -32 in decreasing order. 21, -4, -5, -32 Sort -0.88, 1, 0.1, 1/4. -0.88, 0.1, 1/4, 1 Put 1, 67, -3 in ascending order. -3, 1, 67 Sort 7, 45, -15. -15, 7, 45 Put -7, -0.04, -6 in increasing order. -7, -6, -0.04 Sort -2/19, -1, -3, 6, -1.4 in ascending order. -3, -1.4, -1, -2/19, 6 Put 1, -10, -152 in ascending order. -152, -10, 1 Sort -3, -21, 4 in decreasing order. 4, -3, -21 Sort -2, -227, 3. -227, -2, 3 Sort 8, 1, 0, -13. -13, 0, 1, 8 Sort -24, 5, 4, 33, -3. -24, -3, 4, 5, 33 Sort -35, 0, 178. -35, 0, 178 Put 2, -2, 3, -7, -63 in decreasing order. 3, 2, -2, -7, -63 Put 45, 2, 5, -2/7 in increasing order. -2/7, 2, 5, 45 Put 100, -8, 21 in increasing order. -8, 21, 100 Put 31, -12, -3 in increasing order. -12, -3, 31 Sort -5, -2, 0, -7 in increasing order. -7, -5, -2, 0 Sort 0, -1316, -1. -1316, -1, 0 Put -0.4, 0.1, 0.992 in descending order. 0.992, 0.1, -0.4 Sort 2, -4, 781 in increasing order. -4, 2, 781 Sort 3, -4, 65, 1 in descending order. 65, 3, 1, -4 Sort 4, -3.4, -5, -1, -0.1 in ascending order. -5, -3.4, -1, -0.1, 4 Put -4, 3, 2 in decreasing order. 3, 2, -4 Sort -2, -1, -4/95, 0.3. -2, -1, -4/95, 0.3 Sort 1, 40, -1, 2 in ascending order. -1, 1, 2, 40 Sort 1, -4, 824, 2 in increasing order. -4, 1, 2, 824 Sort 3, -2.1, 2, -0.6 in descending order. 3, 2, -0.6, -2.1 Sort 4, -5, -2 in ascending order. -5, -2, 4 Sort -1981, -1/4, -1/3 in descending order. -1/4, -1/3, -1981 Sort -3/2, 0.3, -5, 3/2 in ascending order. -5, -3/2, 0.3, 3/2 Put 3, -5/4, -5, 0.016 in descending order. 3, 0.016, -5/4, -5 Put 2/15, 4/19, -1/3 in increasing order. -1/3, 2/15, 4/19 Put -0.06, 5, 2/11, 21, -0.4 in descending order. 21, 5, 2/11, -0.06, -0.4 Sort 27, 1, -3. -3, 1, 27 Sort -12, 15, -4. -12, -4, 15 Sort 3, 27, -2, -4 in ascending order. -4, -2, 3, 27 Sort 3, 5, -84 in decreasing order. 5, 3, -84 Sort -3, 76, -1, -2, -12 in descending order. 76, -1, -2, -3, -12 Put 4, 0, 16, -0.2 in decreasing order. 16, 4, 0, -0.2 Put 2/13, 0.3, -10/11 in descending order. 0.3, 2/13, -10/11 Sort -5, 2000, 0, -1 in increasing order. -5, -1, 0, 2000 Sort 6, 0, 96, 5 in descending order. 96, 6, 5, 0 Put -64, 0.5, -98, -4 in decreasing order. 0.5, -4, -64, -98 Put 0, -2, 1/3, 257 in ascending order. -2, 0, 1/3, 257 Put 14, 4, 12, -4, 25 in decreasing order. 25, 14, 12, 4, -4 Put 2/31, -3/4, 0.21, -4 in descending order. 0.21, 2/31, -3/4, -4 Sort 1/3, 10.4, -1/2 in increasing order. -1/2, 1/3, 10.4 Put 0.18, 0.5, 1/142, 4 in ascending order. 1/142, 0.18, 0.5, 4 Put -53, -64, -4 in ascending order. -64, -53, -4 Sort 132/5, -0.5, 0.4, 7 in increasing order. -0.5, 0.4, 7, 132/5 Put -0.1, 57, 3 in decreasing order. 57, 3, -0.1 Put -2, -1, -3/5, 18, -8 in increasing order. -8, -2, -1, -3/5, 18 Sort 0.17, -2/13, -1/3 in descending order. 0.17, -2/13, -1/3 Put 2, -3, 18, -2, -1 in descending order. 18, 2, -1, -2, -3 Put 4, 21, 5, -5 in descending order. 21, 5, 4, -5 Sort -8, -1, 1/8 in descending order. 1/8, -1, -8 Sort 53, 5, 2 in ascending order. 2, 5, 53 Put 3, -21, -4, 17 in increasing order. -21, -4, 3, 17 Sort -5, 0.2, 1979, -2 in increasing order. -5, -2, 0.2, 1979 Sort -3, 59, -5, 0 in ascending order. -5, -3, 0, 59 Sort 9, -34, 4 in decreasing order. 9, 4, -34 Sort -0.3, 2, 0.3, 29 in decreasing order. 29, 2, 0.3, -0.3 Sort -14, -2, 5, -6. -14, -6, -2, 5 Put -2, 2/5, -1, -3/7, -3.6 in decreasing order. 2/5, -3/7, -1, -2, -3.6 Put 4, 3, 7, -6 in increasing order. -6, 3, 4, 7 Put 0.3, -1, 47 in ascending order. -1, 0.3, 47 Sort -7, 6, 0.2, -2 in descending order. 6, 0.2, -2, -7 Sort -1/5, 26, 0.5, -33/4 in ascending order. -33/4, -1/5, 0.5, 26 Sort -7, 77, -4, 1, 5. -7, -4, 1, 5, 77 Sort 27, 2, 11, 4 in ascending order. 2, 4, 11, 27 Put -5, 2, 3, 5, -3 in descending order. 5, 3, 2, -3, -5 Sort 3/23, 4, 5, 11 in decreasing order. 11, 5, 4, 3/23 Put -0.5, -1, -890 in increasing order. -890, -1, -0.5 Sort 2, -1, 19 in decreasing order. 19, 2, -1 Put 5, 1, 33, -3 in increasing order. -3, 1, 5, 33 Sort 30, 3, 4, 8 in descending order. 30, 8, 4, 3 Sort 0, 102, 4 in decreasing order. 102, 4, 0 Sort -2, 142, -2/5, -0.5 in descending order. 142, -2/5, -0.5, -2 Put -48, -1/2, -0.045, -0.3, 0.5 in ascending order. -48, -1/2, -0.3, -0.045, 0.5 Put -0.2, 3, 2.3, -0.13 in decreasing order. 3, 2.3, -0.13, -0.2 Sort 5, 0.05, -2, -1/39 in descending order. 5, 0.05, -1/39, -2 Sort 1, -21, 2 in ascending order. -21, 1, 2 Put 9, 5, 38 in descending order. 38, 9, 5 Sort 0.1, -1.73, -3, 0 in decreasing order. 0.1, 0, -1.73, -3 Sort -0.1, 0.2, -73, 0 in decreasing order. 0.2, 0, -0.1, -73 Sort 1, -28, -4, -2 in decreasing order. 1, -2, -4, -28 Sort -5, -6, 0, 14, 3 in ascending order. -6, -5, 0, 3, 14 Sort 3, -4, 0.5, -0.1, 1/4 in ascending order. -4, -0.1, 1/4, 0.5, 3 Put -5, 1, 2, -15 in descending order. 2, 1, -5, -15 Sort -46, -26, 0 in increasing order. -46, -26, 0 Sort 18, 211, -0.4. -0.4, 18, 211 Put -2/11, -0.4, 3, -32 in increasing order. -32, -0.4, -2/11, 3 Sort -9, 2, 6, 0, -8. -9, -8, 0, 2, 6 Sort 22/9, -1, 0. -1
{ "pile_set_name": "DM Mathematics" }
1, 831529 What are the prime factors of 223264677? 3, 74421559 List the prime factors of 20753850. 2, 3, 5, 13, 29, 367 What are the prime factors of 17293921? 137, 126233 List the prime factors of 16359427. 7, 251, 9311 What are the prime factors of 2245572895? 5, 101, 4446679 What are the prime factors of 83549611? 17, 289099 List the prime factors of 2820563303. 31, 227, 277, 1447 List the prime factors of 4125678821. 11, 37, 10136803 What are the prime factors of 4201178956? 2, 13, 80791903 What are the prime factors of 2196261726? 2, 3, 366043621 List the prime factors of 23299869. 3, 839, 9257 List the prime factors of 66407661. 3, 17, 149, 971 What are the prime factors of 30756088? 2, 11, 373, 937 What are the prime factors of 3984842? 2, 23, 86627 What are the prime factors of 17521164? 2, 3, 53, 3061 What are the prime factors of 15146609? 17, 241, 3697 What are the prime factors of 29889314? 2, 7, 13, 29, 809 List the prime factors of 1234156091. 7, 79, 211, 1511 List the prime factors of 258235700. 2, 5, 2582357 List the prime factors of 39523368. 2, 3, 17, 73, 1327 List the prime factors of 5341476223. 11329, 471487 What are the prime factors of 3116700506? 2, 31, 67, 163, 4603 What are the prime factors of 1968230216? 2, 17, 19, 163, 4673 List the prime factors of 119767237. 9719, 12323 What are the prime factors of 2320294321? 29, 4127, 19387 What are the prime factors of 277414530? 2, 3, 5, 37, 249923 What are the prime factors of 28149816? 2, 3, 227, 5167 What are the prime factors of 1950882870? 2, 3, 5, 65029429 What are the prime factors of 3679470678? 2, 3, 13, 23, 2050987 List the prime factors of 5049085110. 2, 3, 5, 1097, 153421 What are the prime factors of 133124511? 3, 13, 67, 3919 List the prime factors of 953576508. 2, 3, 79464709 What are the prime factors of 7590506? 2, 7, 11, 23, 2143 List the prime factors of 69134779. 7, 173, 57089 List the prime factors of 22176490. 2, 5, 7, 41, 7727 List the prime factors of 784151151. 3, 7, 2129, 17539 List the prime factors of 3476794. 2, 557, 3121 List the prime factors of 1268659781. 29, 53, 825413 List the prime factors of 1883400963. 3, 15131, 41491 List the prime factors of 1618193967. 3, 13, 509, 81517 List the prime factors of 4704645488. 2, 53, 5547931 What are the prime factors of 45951519? 3, 19, 97, 8311 List the prime factors of 165367991. 191, 865801 List the prime factors of 324503242. 2, 7, 17, 19, 71761 List the prime factors of 115714428. 2, 3, 9642869 What are the prime factors of 268220219? 268220219 List the prime factors of 4856746571. 263, 18466717 What are the prime factors of 603161868? 2, 3, 647, 77687 What are the prime factors of 5158433538? 2, 3, 19, 5027713 What are the prime factors of 355083239? 7, 50726177 What are the prime factors of 788870855? 5, 157774171 List the prime factors of 7347801. 3, 59, 41513 What are the prime factors of 59385857? 59385857 List the prime factors of 30047217. 3, 10015739 List the prime factors of 231476488. 2, 17, 41, 41513 What are the prime factors of 388999408? 2, 7, 31, 181, 619 What are the prime factors of 260630281? 17, 15331193 List the prime factors of 310955503. 167, 1862009 List the prime factors of 37405236. 2, 3, 11, 17, 79, 211 What are the prime factors of 402762987? 3, 11, 4068313 What are the prime factors of 319141128? 2, 3, 13297547 List the prime factors of 3135674631. 3, 37, 73, 386977 List the prime factors of 83267900. 2, 5, 832679 List the prime factors of 3570155318. 2, 1785077659 List the prime factors of 407245652. 2, 11, 137, 67559 What are the prime factors of 2817767626? 2, 1408883813 List the prime factors of 101136676. 2, 433, 58393 List the prime factors of 3571252970. 2, 5, 277, 1289261 List the prime factors of 2190197356. 2, 23, 103, 231131 List the prime factors of 505469900. 2, 5, 13, 388823 What are the prime factors of 753216522? 2, 3, 191, 657257 List the prime factors of 754533030. 2, 3, 5, 773, 32537 What are the prime factors of 1103118226? 2, 7, 19, 23, 180307 List the prime factors of 1405867996. 2, 13, 27035923 What are the prime factors of 977187511? 977187511 What are the prime factors of 300657988? 2, 17, 1019, 4339 What are the prime factors of 858302429? 858302429 What are the prime factors of 60473223? 3, 248861 List the prime factors of 567068044. 2, 4909, 28879 What are the prime factors of 535873072? 2, 7, 37, 129313 What are the prime factors of 26596396? 2, 6649099 What are the prime factors of 107727875? 5, 861823 List the prime factors of 182129869. 281, 593, 1093 What are the prime factors of 3724323411? 3, 1241441137 List the prime factors of 409477672. 2, 51184709 What are the prime factors of 122329944? 2, 3, 11, 257, 601 What are the prime factors of 11756272? 2, 11, 66797 What are the prime factors of 795861574? 2, 31, 157, 81761 What are the prime factors of 157371907? 7, 11, 17, 120223 What are the prime factors of 5479310261? 103, 3571, 14897 What are the prime factors of 85150934? 2, 11, 47, 82351 List the prime factors of 459525281. 459525281 What are the prime factors of 19717868? 2, 4929467 What are the prime factors of 994928792? 2, 11, 13, 79063 What are the prime factors of 39165346? 2, 11, 19, 43, 2179 List the prime factors of 39600389. 19, 2084231 List the prime factors of 83951345. 5, 16790269 List the prime factors of 33616382. 2, 191, 88001 What are the prime factors of 325335456? 2, 3, 29, 38953 List the prime factors of 47348935. 5, 31, 305477 List the prime factors of 39158785. 5, 53, 147769 List the prime factors of 91738020. 2, 3, 5, 11, 29, 4793 What are the prime factors of 36118425? 3, 5, 7, 89, 773 List the prime factors of 1084097052. 2, 3, 30113807 What are the prime factors of 1619110940? 2, 5, 17, 373, 751 List the prime factors of 137007235. 5, 27401447 What are the prime factors of 881926850? 2, 5, 7, 17, 8719 List the prime factors of 1301064132. 2, 3, 108422011 What are the prime factors of 106598558? 2, 11, 4845389 List the prime factors of 72996575. 5, 19, 239, 643 What are the prime factors of 2586267204? 2, 3, 215522267 List the prime factors of 235979407. 251, 940157 List the prime factors of 820301002. 2, 410150501 List the prime factors of 3683657454. 2, 3, 67, 971, 9437 List the prime factors of 55554112. 2, 868033 What are the prime factors of 52688096? 2, 31, 53113 List the prime factors of 112316495. 5, 22463299 List the prime factors of 305069771. 305069771 What are the prime factors of 665580049? 23, 28938263 List the prime factors of 122937040. 2, 5, 211, 7283 List the prime factors of 114569854. 2, 7, 23, 383, 929 List the prime factors of 1255958617. 41, 67, 107, 4273 List the prime factors of 8623568576. 2, 7, 1627, 11831 What are the prime factors of 33924943? 13, 31, 84181 What are the prime factors of 2354419811? 17, 4261, 32503 What are the prime factors of 382152656? 2, 17, 1404973 What are the prime factors of 4998819268? 2, 409, 3055513 List the prime factors of 72235542. 2, 3, 71, 169567 What are the prime factors of 2789150608? 2, 174321913 List the prime factors of 1221142445. 5, 19, 12854131 What are the prime factors of 142116170? 2, 5, 7, 290033 What are the prime factors of 1385071953? 3, 461690651 What are the prime factors of 1307481127? 4139, 315893 List the prime factors of 53048348. 2, 251, 52837 List the prime factors of 30806395. 5, 6161279 What are the prime factors of 173276137? 67, 227, 11393 What are the prime factors of 5337915531? 3, 13, 89, 118297 What are the prime factors of 28812514? 2, 23, 113, 241 List the prime factors of 662909663. 13, 59, 864289 What are the prime factors of 48782055? 3, 5, 7, 464591 What are the prime factors of 77350972? 2, 19337743 List the prime factors of 1202213823. 3, 43, 9319487 List the prime factors of 2259858192. 2, 3, 23, 2046973 List the prime factors of 23505326. 2, 13, 101, 8951 List the prime factors of 19431564. 2, 3, 71, 22807 List the prime factors of 245897556. 2, 3, 107, 191509 List the prime factors of 2768187776. 2, 617, 35051 What are the prime factors of 267952436? 2, 17, 43, 91639 What are the prime factors of 1336475490? 2, 3, 5, 7, 23, 5647 List the prime factors of 123220070. 2, 5, 97, 127031 List the prime fact
{ "pile_set_name": "DM Mathematics" }
767061.46 Subtract -1397467424956 from -4. 1397467424952 Work out 0.1 + -56628192505853. -56628192505852.9 -15 + 477.89875544 462.89875544 1688 + 51048264 51049952 What is 957891621 less than -155234? -958046855 What is 2 + -1.58352332076? 0.41647667924 Subtract 513843 from 189179. -324664 What is the difference between 536783771289 and 0.2? 536783771288.8 What is -1030.314 take away 3924856? -3925886.314 49604.07 + -3572915 -3523310.93 What is -9.58 take away -1213511322.3? 1213511312.72 What is 118844579 minus -281913? 119126492 0.09976508+7392821 7392821.09976508 What is 885.2369475921 minus -3? 888.2369475921 What is 414064 plus 4676245? 5090309 Calculate 42320465838256 + -0.5. 42320465838255.5 What is 7.8533 less than -4.723551? -12.576851 What is -0.57529179155 + -196? -196.57529179155 What is -32730 less than -143779580? -143746850 What is 0.9975 less than 20507356446? 20507356445.0025 3186.964+-251066 -247879.036 Work out -0.029058722 - -196. 195.970941278 Add 525 and 7196003169. 7196003694 Work out -2403 - -0.34166319. -2402.65833681 What is 27.94049553 take away -30811? 30838.94049553 Add together -5348.27674944 and 11. -5337.27674944 -9+53884564333 53884564324 What is the difference between 3443 and 596827.219? 593384.219 What is -10 take away -5858333472? 5858333462 What is 18839 less than -3.06621084? -18842.06621084 Calculate -938207 + 0.06136014. -938206.93863986 Add 329627932856.87 and -5. 329627932851.87 What is 1.93246 less than 2154660838? 2154660836.06754 What is 7472778 less than 3836080.5? -3636697.5 What is 5970.3 plus 319.5288655? 6289.8288655 Work out 19584548 - -16555.07. 19601103.07 Work out 0 - 26294020636. -26294020636 Total of -203221664503 and -0.1. -203221664503.1 Calculate -6087.5 - 26576363. -26582450.5 -118382962 - -273 -118382689 Subtract 17720.54799349 from 2.15. -17718.39799349 Add together 10392842 and 1.514. 10392843.514 -4033.6771223321 + -0.09 -4033.7671223321 What is -1625037 take away -14136? -1610901 Put together 1 and 6101326181. 6101326182 What is -18.3009051899 plus 3.6? -14.7009051899 Add -13.7 and 134681553045. 134681553031.3 Subtract 10982 from 24080329118. 24080318136 What is 158431228407 - -19? 158431228426 What is the difference between 187490903932 and 0.05? 187490903931.95 Subtract -0.155 from 209430297319. 209430297319.155 -6901744498 - -8449 -6901736049 What is -90137015665.2 take away -29? -90137015636.2 Sum -1383.612 and 0.5239385. -1383.0880615 Add -4287583 and 8330665. 4043082 Put together 331586 and 53087189. 53418775 Calculate -2598606687431 + -4. -2598606687435 0.1 - -396717490637 396717490637.1 160.9 - 3641.4416 -3480.5416 -1243096082 + 0.64 -1243096081.36 Calculate -2488734503 + 145.2. -2488734357.8 What is -0.0327935 - 40898735.2? -40898735.2327935 -1.9+-3912.882526 -3914.782526 What is the distance between 76774.264759433 and 0.5? 76773.764759433 What is -4 less than -11084339970049.6? -11084339970045.6 5861030 + -623518 5237512 Work out -4785.12 + -5.07374. -4790.19374 Work out -29477361772886 - 54. -29477361772940 -271.6038 - -430269560 430269288.3962 Sum 0.36 and -71.052103138. -70.692103138 Subtract 0.3 from -442978842205. -442978842205.3 Put together -0.034 and 7056.176826. 7056.142826 Work out 2.144 - 57290093. -57290090.856 What is -20359952.4183 take away 854? -20360806.4183 Work out -1065200 + -710594. -1775794 What is 3.24619 - 2.307351? 0.938839 What is -15.41 minus -1241.59081? 1226.18081 200718.911515+-12 200706.911515 Work out 53877863260 + 0.2. 53877863260.2 Calculate -9 - 8376042649.66. -8376042658.66 Add -25 and 9275027427. 9275027402 5.9+-301443600 -301443594.1 Work out 1.01135 - 31575585. -31575583.98865 Work out 1115394.758 + 18392. 1133786.758 What is 20473.27 less than -1.298916? -20474.568916 Add together 4.548099 and 4.8436. 9.391699 Calculate 0.7926471097 - -0.129. 0.9216471097 Work out 3.583823 - -0.745288. 4.329111 What is 2.714904573682 less than -400? -402.714904573682 Put together 36062859938 and 14. 36062859952 Work out -6272.7 - -761.1313. -5511.5687 Subtract 79121 from -3164611612. -3164690733 Work out 15252190.5 + 0.8. 15252191.3 Subtract 28395588082260 from -0.5. -28395588082260.5 Work out -0.2 - 2947904503256. -2947904503256.2 7.48067 + 11870.5 11877.98067 What is -57.232019 - 141? -198.232019 Work out 1975418 - 42.33547. 1975375.66453 What is 117789.187 plus 0.13613? 117789.32313 Calculate -445766469 - 4.259. -445766473.259 16.5+-226472625475 -226472625458.5 What is 69.8335 less than 0.653111211? -69.180388789 14 - 1542608914 -1542608900 Add together -2726807209 and 0.23357. -2726807208.76643 What is 0.84 minus -1622315392? 1622315392.84 What is -9756763337 less than -888? 9756762449 Total of -0.404114228276 and 1894. 1893.595885771724 Work out 5 + -0.4146344302543. 4.5853655697457 Work out -12612897218867 - 3. -12612897218870 Work out -1930291 - 36180246. -38110537 What is the distance between 175474126516 and 0.176? 175474126515.824 Work out -0.33469837752508 + 3. 2.66530162247492 Work out -38.1634822003362 - -0.2. -37.9634822003362 What is -858841 - -728327562? 727468721 What is -0.1 minus 71375779549904? -71375779549904.1 What is 1497778856 less than 9461? -1497769395 Add together 2.63713 and 1334523. 1334525.63713 What is 453564099.63 minus 8? 453564091.63 What is the difference between -7609574847741 and -0.2? 7609574847740.8 What is 130400739022 + 0.1? 130400739022.1 What is -52.925416866 - -0.4? -52.525416866 What is 17139 + 131623851? 131640990 -54454691.407+-2546.9 -54457238.307 What is 2585867386 minus -293? 2585867679 Calculate 1.7 + 44869202624. 44869202625.7 46+-40566837281 -40566837235 Add together 3031.319 and -109815. -106783.681 What is -70544910 + 3.142? -70544906.858 0.15 + -0.0820576392114 0.0679423607886 What is -109.6 less than -332575465? -332575355.4 -13227467+-16547.847 -13244014.847 174975.071299 - 159 174816.071299 -11551 + -43290060 -43301611 What is 0.3219 + -28425317? -28425316.6781 Add together -1772825 and -9975539. -11748364 Work out -752818625 - -462.1. -752818162.9 Subtract 194341056 from -1394246. -195735302 Add together 6 and -2192182876169. -2192182876163 Work out 7.66403682 - -280. 287.66403682 What is the distance between 4527.6 and -27? 4554.6 Work out -574089242 - -0.7454. -574089241.2546 Sum 11 and 332782949297. 332782949308 Work out -54677072664 + -4. -54677072668 Add 2 and -103.24641825857. -101.24641825857 Work out 45190685859 - 12.3. 45190685846.7 Sum 0.0142049123981 and -0.4. -0.3857950876019 What is -25.10126504272 + -29? -54.10126504272 Work out -7236268 - 0.07036. -7236268.07036 -2451.258649 + 38 -2413.258649 Calculate -0.4 - 23925482197. -23925482197.4 What is -42999705 minus 15948.3? -43015653.3 What is the difference between -12727775.0659 and 1.064? 12727776.1299 What is -1 minus -66823218843? 66823218842 Work out -19479336.07702 + 86. -19479250.07702 What is 1203437 plus -4300.62926? 1199136.37074 What is -1.1497696 minus -15943.64? 15942.4902304 Sum -548325586 and 428. -548325158 Total of 2.30522848705 and 0.2. 2.50522848705 Work out 33280108578 + -0.0345. 33280108577.9655 Put together 27 and -22377676141. -22377676114 Put together -87415872 and -469.5. -87416341.5 Add together -365 and -63604705474. -63604705839 What is 0.46975 + 174929.739? 174930.20875 What is 22693663 plus -102.3? 22693560.7 2.590919 + -0.13388472 2.45703428 Work out -1458.517471129 + -13. -1471.517471129 What is -0.87106 + -2812444? -2812444.87106 What is 75.330057127 minus 0.4? 74.930057127 What is -290187998155 - -0.08? -290187998154.92 What is the distance between 1624.640347 and 0.045? 1624.595347 What is -1683 minus -1296.35216? -386.64784 Work out -874 + -4579745.38369. -4580619.38369 Calculate -110.897032 + 6128. 6017.102968 885233+-870027 15206 What is 2 - 698743099186? -698743099184 What is -13063590 plus 0.5756? -13063589.4244 -317420 - 0.1679322 -317420.1679322 Calculate -6462.21 - 742704. -749166.21 Work out 0.139 - 80459.89038. -80459.75138 Work out -69717557913 + 416. -69717557497 Add -3324.612 and 694435.5. 691110.888 What is the difference between 3481.736495456 and 0.06? 3481.676495456 What is -21304703097 plus -10.2? -21304703107.2 Subtract -5.3 from 1727155388987. 1727155388992.3 Add tog
{ "pile_set_name": "DM Mathematics" }
-65, 25, 2/13, 0.2? 0.2 Which is the closest to -0.1? (a) -0.5 (b) -2/15 (c) -4 b What is the closest to -2/7 in 0.4, -2/9, -0.3? -0.3 What is the closest to -1/3 in 4, -3/7, -1/20? -3/7 What is the closest to 1/2 in -1.418, 5, 1? 1 Which is the closest to -0.3? (a) 1/4 (b) -0.5 (c) 1/3 b Which is the nearest to 407? (a) -2/9 (b) -5 (c) 1 (d) 4 d What is the closest to 0.2 in 2/13, -4, 1, 0.5? 2/13 What is the nearest to 27 in 3, 1, 5? 5 Which is the closest to 0.1? (a) -2/19 (b) -29 (c) -1 (d) -0.2 a What is the nearest to 4 in -3, -0.5, -1.3, -5? -0.5 Which is the closest to 0? (a) 4 (b) 6/11 (c) -2 b Which is the nearest to 1? (a) 0.2 (b) -0.4 (c) -5 (d) 1 d What is the closest to 2 in 22, 1, 7? 1 Which is the nearest to -2/7? (a) -3/4 (b) -1/5 (c) 1/3 (d) -90 b Which is the nearest to 1? (a) 2 (b) -2/5 (c) -5 (d) 20 a Which is the closest to 0? (a) 3 (b) 1 (c) 0.5 (d) -7 c Which is the closest to 1? (a) -0.5 (b) 1 (c) -2 b Which is the closest to 0.1? (a) -5 (b) -4 (c) 44 b What is the nearest to -0.5 in -10, 8, 2? 2 Which is the closest to -9? (a) -1 (b) -4 (c) 3 (d) 0.5 b What is the nearest to -1 in -0.4, 1/5, 25/26? -0.4 Which is the closest to 0? (a) -2/11 (b) -3 (c) 1/69 c Which is the nearest to -0.3? (a) 5/2 (b) -3 (c) -1 c What is the closest to -3 in -4.3, 4, -2? -2 Which is the closest to 0? (a) -0.2 (b) 3/7 (c) -2/9 a Which is the closest to 2/3? (a) -2/7 (b) 4/7 (c) 4 (d) 0.2 b Which is the closest to 1? (a) -1 (b) 2 (c) 1.4 (d) -0.3 c What is the closest to 2 in -1.2, -3, 0.1? 0.1 Which is the closest to -1? (a) -2 (b) -4 (c) -10 a Which is the closest to 0? (a) -2/5 (b) 2 (c) -266 (d) 3 a Which is the closest to 5? (a) -0.5 (b) -4 (c) 3/19 (d) -0.1 c What is the closest to -0.1 in 32, 0.4, -2/9, -2/15? -2/15 What is the nearest to -3/2 in 3, 168, -0.3, -5? -0.3 Which is the closest to 0? (a) -115 (b) 0 (c) 2 b What is the closest to 0 in -4, 1/3, 4/5, -4/3? 1/3 Which is the closest to 1? (a) -18 (b) 1/8 (c) -5 b Which is the closest to 1/3? (a) 2.9 (b) 1/3 (c) -2 (d) -4/3 b What is the closest to -1/18 in -2/173, 0.4, -0.4? -2/173 Which is the nearest to 1? (a) -4 (b) 2/7 (c) -49 (d) -1 b What is the nearest to 0 in -2/3, -0.06, -1/6, 0.07? -0.06 Which is the closest to 0.1? (a) -2 (b) 1 (c) -2/7 (d) 5 c What is the nearest to 2/7 in 0.2, 1.1, -3/2? 0.2 Which is the nearest to -0.13? (a) 2 (b) -0.4 (c) -7 b What is the nearest to 0.1 in 1, 42, -3, 1/4? 1/4 What is the closest to 15 in -1.6, 0.02, 2, 0.2? 2 What is the closest to -1 in 1, 3, 25, 1/4? 1/4 What is the closest to -6 in 1, -3/2, 0.5, -1? -3/2 What is the nearest to -2 in -4, 0.05, -2, -0.5? -2 What is the nearest to 2/7 in 4, -1.4, 3? -1.4 Which is the closest to 0.01? (a) 1/11 (b) 1 (c) 0 (d) -0.4 c What is the nearest to -0.1 in -0.14, 4, 2/13? -0.14 Which is the nearest to 1/4? (a) 2 (b) -2/9 (c) -4 b Which is the nearest to 6? (a) -1/3 (b) -0.5 (c) -1/6 (d) 0.4 d What is the nearest to -96 in -3, -0.5, -1, 3/5? -3 Which is the nearest to 2/5? (a) -5 (b) -0.4 (c) 2/19 c Which is the closest to -1/6? (a) 5/4 (b) -7 (c) 0.5 c Which is the nearest to -2/9? (a) -0.2 (b) -5 (c) -0.4 (d) -5/4 a What is the nearest to 0.1 in -3, -4, -0.4, -23? -0.4 Which is the nearest to 2? (a) -4 (b) 5 (c) 0.5 (d) -1/2 c What is the nearest to 3 in 4, -4, 22/7? 22/7 What is the closest to 0 in -2/13, 0.3, -0.12, -0.4? -0.12 Which is the nearest to 0? (a) 0.3 (b) -4 (c) 1 (d) -26 a Which is the nearest to 3/8? (a) -3/8 (b) 2/7 (c) -2 (d) 1 b What is the nearest to -1/3 in 0.3, 0.5, -44, 15? 0.3 What is the nearest to -0.1 in 0.54, 1/6, 5, 4? 1/6 What is the closest to 0.059 in -2/7, -0.2, 0.5, 0.2? 0.2 Which is the nearest to -0.1? (a) 1/2 (b) -35 (c) 1/15 c What is the nearest to 1/8 in 4, -1/8, -2? -1/8 Which is the closest to 0? (a) -3 (b) 5 (c) -4/9 (d) 0.19 d What is the nearest to 0 in 39, -3, 5? -3 What is the closest to 3 in -0.1, 0, -6? 0 Which is the closest to -4/5? (a) 0.4 (b) 28 (c) 0 (d) 4 c Which is the closest to -0.1? (a) -1/7 (b) -1/2 (c) 1 (d) 3/4 a What is the nearest to 1.2 in 3, 2/3, -4, 1? 1 Which is the closest to -0.1? (a) -0.02 (b) 3 (c) -0.1 (d) -9/11 c What is the nearest to 0.1 in 0.1, -2/5, 8/9? 0.1 Which is the closest to -2.4? (a) -4 (b) 2/13 (c) 1/3 a What is the nearest to -17/11 in 0, -2/7, -2? -2 Which is the nearest to -0.1? (a) 1 (b) -0.001 (c) -0.1 (d) 5 c What is the closest to -1 in 46, 2/11, 0? 0 Which is the closest to 9? (a) 2/7 (b) 3 (c) 4 c What is the closest to 0.1 in 0, 3, 0.5? 0 What is the nearest to 0.04 in 1, -2, 1/8? 1/8 Which is the closest to 0.1? (a) 1/2 (b) -2/11 (c) -126 (d) 3 b Which is the closest to 0? (a) -2/15 (b) -1.3 (c) 4/3 (d) 0.5 a Which is the closest to 0? (a) -2 (b) 5 (c) 130 (d) -1/2 d Which is the nearest to -2? (a) 4/3 (b) -32 (c) 3/23 c What is the closest to -1 in 0, -4, 0.1, 0.5? 0 What is the nearest to -0.1 in -1, -2/17, -38/5, -2/5? -2/17 Which is the closest to 0.1? (a) 473 (b) -2 (c) -2/5 c What is the nearest to 0.2 in 0.11, 6/13, -1/4? 0.11 What is the closest to -1 in -5, 9, 89? -5 What is the nearest to -1/4 in 4, -0.4, -4? -0.4 What is the closest to -1 in 55, -3/14, 0? -3/14 Which is the closest to -0.4? (a) 3 (b) -77 (c) -0.2 c Which is the nearest to -41? (a) -1/3 (b) 0.2 (c) 1/3 a Which is the nearest to 1? (a) -0.71 (b) -0.4 (c) -3 b Which is the closest to -2/3? (a) 4 (b) -0.3 (c) 0.5 (d) -15 b What is the closest to 1 in 4, 0.5, -1, -16? 0.5 What is the closest to -1 in 5, 1.86, 0.5? 0.5 What is the nearest to -3 in 2/5, 6, -1? -1 What is the nearest to 1/3 in 0, -1/5, 1.8? 0 What is the closest to 1/3 in -2/3, 2.7, -1/323, -5? -1/323 Which is the closest to 1/2? (a) 1/4 (b) -11/3 (c) 2/261 a What is the closest to 1/5 in -39, -1/6, 0.4? 0.4 Which is the nearest to 2/7? (a) -2/9 (b) -1/6 (c) -1/2 (d) 3/2 b Which is the closest to -1? (a) -2 (b) 0.2 (c) 9 a Which is the nearest to 0? (a) 1 (b) -12.2 (c) 0.1 c What is the closest to 5 in -1/4, -14, -2/15? -2/15 What is the closest to 0 in -2/15, 0.03, -2? 0.03 What is the nearest to -2 in -2/9, 5, -2, -5? -2 Which is the nearest to -1/22? (a) -2 (b) -1 (c) 2/9 (d) -4 c What is the closest to -1 in 1/9, -3, -0.3, -1/15? -0.3 What is the nearest to -1 in -43/3, 1, -2, -0.5? -0.5 What is the nearest to 2/11 in -0.3, 3/2, -0.06, 0.05? 0.05 Which is the nearest to 2181? (a) 0.1 (b) 3 (c) -4 b What is the nearest to 4 in 0.04, -1, -0.2, 2? 2 Which is the nearest to -835? (a) -2 (b) 3 (c) 0 a Which is the closest to 1? (a) 0.4 (b) -12 (c) 0.6 (d) 0.3 c Which is the nearest to -53? (a) -1 (b) -17/2 (c) -2 b Which is the closest to -1/2? (a) -1/6 (b) -1 (c) -3 (d) -212 a What is the nearest to -2/3 in 3, -8/27, 12? -8/27 What is the nearest to -3 in -3/4, -1, 5? -1 What is the closest to -17 in -0.5, -0.1, 4/5, 1/4? -0.5 Which is the closest to -0.1? (a) -2/9 (b) -1.1 (c) 2/3 (d) -1/2 a Which is the nearest to 1/2? (a) 6/7 (b) 15 (c) 8 a What is the nearest to 8 in -554, -4, 0? 0 Which is the nearest to 0? (a) 0.3 (b) 1 (c) 0 (d) -0.2 c What is the closest to 0.1 in -5, -0.11, 5? -0.11 What is the closest to -2 in -1/7, -1, -2/3, 18? -1 What is the nearest to 1/3 in -1, 1, 0.2, 5? 0.2 Which is the nearest to 3? (a) -0.3 (b) 0.2 (c) -4 b Which is the closest to -1/2? (a) -1 (b) -0.2 (c) -0.08 b What is the nearest to 0.1 in -0.14, 5, 3? -0.14 What is the nearest to 4 in -5, -0.3, 0.21? 0.21 Which is the nearest to 1? (a) -18/5 (b) 1/3 (c) -0.5 (d) 0.4 d What is the nearest to -16 in 35, -0.3, 2, 3? -0.3 Which is the closest to -1? (a) 2/9 (b) -2/9 (c) 232/7 b What is the nearest to 1/16 in -3/8, -4, -0.05? -0.05 Which is the closest to 0.1? (a) -1/3 (b) 2/3 (c) 0 (d) -14 c Which is the nearest to 1? (a) -14 (b) -32 (c) -0.3 c Which is the nearest to 0? (a) -5 (b) -2 (c) -3 (d) 4 b Which is the nearest to 5? (a) -1/4 (b) -63 (c) -0.3 (d) 2 d Which is the closest to -26? (a) 1 (b) 0.3 (c) 2/7 c Which is the closest to 2/23? (a) -1 (b) 3 (c) 2.1 a What is the closest to -10 in -0.2, 10, 5/6
{ "pile_set_name": "DM Mathematics" }
s divided by f(-1). 48 Let t(r) = 15*r - 225. Let w be t(15). Suppose 3*j - 30 = -3*o - w*j, 4*o - 28 = 2*j. What is the remainder when 54 is divided by o? 6 Let x(a) = -11*a**3 - 5*a**2 - 5*a - 6. Let i be x(-3). Calculate the remainder when (i/6)/((-16)/(-32)) is divided by 33. 21 Let t be (1 + (-5)/3)/(6/(-9)). Let d be t + (-2 - 0) + 61. Suppose 3*n = 2*n + d. Calculate the remainder when n is divided by 32. 28 Let c = -8080 - -8096. What is the remainder when 602 is divided by c? 10 Let i = -2262 + 2778. What is the remainder when i is divided by 40? 36 Calculate the remainder when 307 is divided by 30 + 0/(-5) + -2 - 5. 8 Let f(d) = -470*d - 890. Calculate the remainder when 6848 is divided by f(-2). 48 Let q = -51 - -55. Suppose 4*w = 5*b + 61, 60 = 3*w + q*b - 3*b. Calculate the remainder when 46 is divided by w. 8 Let p(q) = 0*q**2 - 3 + 3*q + 57*q**3 - 55*q**3 - 5*q**2. Let b = 15 + -12. Calculate the remainder when 43 is divided by p(b). 13 Suppose -4*s = -2*s + 162. Let k = s + 180. Let h = 149 - k. What is the remainder when h is divided by 17? 16 Let n be (-1107)/5 + (-72)/(-180). Let x = 293 + n. Calculate the remainder when x is divided by 25. 22 Let s(p) = -211*p - 1194. What is the remainder when s(-15) is divided by 16? 3 Let f(w) = w**2 - 3*w. Suppose -252*m = -60*m - 48000. What is the remainder when m is divided by f(7)? 26 Let c(k) = -133*k**3 + k**2 - k - 2. Let d(z) = -z**2 + 6*z + 6. Let m be d(7). Let w be c(m). Let l = w + -95. Calculate the remainder when l is divided by 14. 10 Let f(y) be the second derivative of -y**5/20 - y**4/6 - y**3/2 - y**2/2 + 2*y. Let j = -260028 - -260041. Calculate the remainder when j is divided by f(-2). 3 Suppose -33*l - 30 = -36*l. Let n = -1 + 4. Calculate the remainder when l is divided by 3/(-2)*(-8)/n. 2 What is the remainder when 1195 is divided by -24*(-10 - 29/(-3))? 3 Let b = 4066 - 3914. What is the remainder when 604 is divided by b? 148 Let m(o) = -2*o**2 - 114*o - 65. What is the remainder when 1*(3*-29)/(-1) is divided by m(-56)? 40 Suppose -4*i = z - 171, -4*z + 6*i = 3*i - 627. Suppose 9*d - z = 516. What is the remainder when d is divided by 7? 5 Let j = -8683 - -8709. What is the remainder when 1380 is divided by j? 2 Let m = 194 - 198. Let w = 7 + 59. What is the remainder when w is divided by 2 + m + -13 + 18? 0 Suppose -g = -d - 147 + 123, -4*g + 51 = 5*d. Calculate the remainder when (0 + -1 + 0)*-50 is divided by g. 12 Suppose -12*v + 7*v = -600. What is the remainder when ((-5)/(-4))/(6/v) is divided by (21/9)/(1/3)? 4 Let j(z) = -6*z - 28. Let f be j(-8). Let y = 25 - f. Suppose -y + 20 = 3*i. What is the remainder when 18 is divided by i? 3 Suppose -2*p - 4 = -3*p. Suppose -5*l + 152 = 4*q, -q = -3*l + p*q + 69. What is the remainder when 222 is divided by l? 26 Let n = 1087 - 527. What is the remainder when n is divided by 251? 58 Let v(q) = -3*q**2 - 2*q + 4. Let u be v(-2). Let b(i) = -2*i**3 - 4*i**2 + 3*i. Calculate the remainder when 201 is divided by b(u). 45 Suppose -g - 3*j = -2717, g + 2*j - 2513 = 204. Calculate the remainder when g is divided by 160. 157 Suppose -12*n - 8*n + 80 = 0. Suppose 0 = 5*m - n*s - 563, m + 5*s - 41 = 60. Calculate the remainder when m is divided by 19. 16 Let x = -1592 - -1784. Let p(q) = -3*q**2 + 17*q - 2. Let o(d) = -d**2 + 8*d - 1. Let c(y) = 5*o(y) - 2*p(y). Calculate the remainder when x is divided by c(4). 36 Let j(i) = -i**3 + 88*i**2 + i - 10. Calculate the remainder when 328 is divided by j(88). 16 Let w be (4/3)/((-1)/(-2061)). Let m be 3 - (2 + 3)*1 - -20. What is the remainder when 5/(135/w) + 4/m is divided by 26? 24 Suppose -5*u - 1950 = -3*h - 87, 3*u - 1863 = -3*h. What is the remainder when h is divided by 162? 135 Let m(l) be the first derivative of -5*l**4/4 - l**3 - l**2 - 4*l - 12. Let i(t) = -t**2 + 18*t - 29. Calculate the remainder when m(-3) is divided by i(15). 14 Suppose s - g = 52, 4*g = -2*s - 3*s + 260. Let t(a) = a + 19. Calculate the remainder when s is divided by t(9). 24 Let k(c) = -c**2 + c + 24. Let m(h) = -4*h - 1. Calculate the remainder when m(-11) is divided by k(5). 3 Let z be (6/(-7))/((-4)/14). Suppose 0 = -4*f - 16, 5*f = -z*q - 1 + 155. Let b(o) = 2*o**2 + 17*o - 64. Calculate the remainder when q is divided by b(-12). 18 Let o = -227 - -308. Suppose o = -162*s + 165*s. What is the remainder when s is divided by 8? 3 Suppose -1214 - 2471 = -55*p. Calculate the remainder when 1338 is divided by p. 65 Calculate the remainder when (2 - 7/3)/((-37)/28194) is divided by 130. 124 Suppose 3*y = -2*l + 151, -l = -0*l + 4. Let f = 3266 - 3057. What is the remainder when f is divided by y? 50 Let x(h) = -24*h + 219. Let l be x(9). Let g(t) = 12*t + 5. Calculate the remainder when 80 is divided by g(l). 39 Suppose 0 = -4*l - 2*t - 3*t + 159, -2*l + 63 = -3*t. Let j be 19625/4 + 18/24. Suppose 46*w + 77 = j. Calculate the remainder when w is divided by l. 33 Let f(k) = -k**3 + 7*k**2 - 2*k - 9. Let r be f(7). Suppose -10*n = -100 - 240. Let t = n + r. What is the remainder when t is divided by 4? 3 Let c = 230 + -125. Suppose 3*m + 5*n = -7, -16*m + 2*n + 16 = -15*m. What is the remainder when c is divided by m? 3 Let g = 40 + -30. Let r = g - -12. Let a = r - -1. What is the remainder when 66 is divided by a? 20 Let v = 25 - -3. Let p(y) = -y**2 + 31*y + 170. What is the remainder when p(v) is divided by 15? 14 Suppose 5748 = 5*b - 2*g, -4*b + 5276 - 674 = 2*g. Suppose -5*k + 375 + b = 0. Calculate the remainder when k is divided by 34. 33 Let d = -35 - -41. Calculate the remainder when 201 is divided by d/(-10)*(-4 + -81). 48 Let g(a) = 73*a**2 + 277*a - 278. Calculate the remainder when 151 is divided by g(1). 7 Suppose 0 = 5*t - 4*r + 58 - 223, 4*t = 2*r + 126. Let z be (-25)/(-15)*24/8. Suppose -y + 10 = -z. What is the remainder when t is divided by y? 14 Let k = 29 - 14. What is the remainder when ((1856/6)/(-8))/((20 + -21)*(-3)/(-9)) is divided by k? 11 Let x = -104 + 361. Let h = x + -213. What is the remainder when h is divided by 12? 8 Calculate the remainder when 189 is divided by (-5 - -9)*((-66)/(-8) - 2). 14 Suppose -2*v = 2*v - 16, 3*j - 4*v = 23. Suppose -482 = 11*z - 12*z - 5*u, 0 = 3*z - 2*u - 1463. Let m = -441 + z. What is the remainder when m is divided by j? 7 Suppose 5*t - 18364 = 4*c, 144*t - 5*c + 7372 = 146*t. Calculate the remainder when t is divided by 40. 36 Calculate the remainder when 8/(16/(-14)) + (-4 - (-13710)/3) is divided by 95. 94 What is the remainder when (-5 + 6 + 0)*357 is divided by 109? 30 Let o = -438 + 474. What is the remainder when 125 is divided by 40 + (-12)/(-30) + o/10? 37 Suppose -33*u = 25730 - 2333. Let f = -683 - u. Calculate the remainder when 45 is divided by f. 19 Let v(q) = q**3 - 50*q**2 - 38*q - 276. Calculate the remainder when v(51) is divided by 98. 93 Let m be (-24)/(-7) + 12/(-28). Let p be -14*-3*(-1)/3 - m. Let s = 17 - p. Calculate the remainder when s is divided by 5. 4 Let w(x) = 743*x - 2869. What is the remainder when 12564 is divided by w(4)? 101 Let x = 24004 + -18446. What is the remainder when x is divided by 55? 3 Suppose -8*k = 13*k - 3045. Calculate the remainder when (2 + 2 + k)*(-11 + 12) is divided by 76. 73 Suppose 2*n = -2*n + f + 17, -f = 1. Suppose n*v = 169 + 91. What is the remainder when v is divided by (1376/(-301) - -5)/((-155)/(-77) + -2)? 32 Let m be (-812)/(-2) + (-246)/41. Suppose 4*a - m = 4*g, -5*a = -0*a - 4*g - 498. Calculate the remainder when 190 is divided by a. 92 Let m = -356 - -607. Let g = 342 - m. What is the remainder when g is divided by 23? 22 Let s = -40 + 41. Let f be (-1205)/(-10) + s/(-2). Let z = -58 + f. Calculate the remainder when z is divided by 16. 14 Let z(o) = -3*o**2 - 58*o + 169. What is the remainder when z(-19) is divided by 174? 14 Suppose -5*l - 3*t + 149 = 0, t + 10 = 2*l - 54. Let a(h) = h**2 - 8*h + 43. What is the remainder when a(10) is divided by l? 1 Let c = 1918 - 1177. Suppose -3*s = 3*p - c, 354 - 119 = p - 2*s. What is the remainder when p is divided by 49? 47 Let h = 6 + -2. Suppose -t - 2*f - 1 = -0*f, 51 = h*t - 3*f. Let b = 1415 + -1411. Calculate the remainder when t is divided by b. 1 Suppose -1358*o = -1301*o - 2144283. Calculate the r
{ "pile_set_name": "DM Mathematics" }
-b**3 - 393*b**2 - 156*b + 49 What is the q'th term of 42167, 84275, 126367, 168437, 210479? -q**3 - 2*q**2 + 42121*q + 49 What is the y'th term of -1469272, -2937420, -4405568, -5873716, -7341864, -8810012? -1468148*y - 1124 What is the k'th term of -10177, -20266, -30261, -40162, -49969, -59682, -69301? 47*k**2 - 10230*k + 6 What is the m'th term of -656, -2464, -5462, -9668, -15100? -3*m**3 - 577*m**2 - 56*m - 20 What is the d'th term of -80941076, -80941077, -80941080, -80941085, -80941092? -d**2 + 2*d - 80941077 What is the l'th term of -6965, -7117, -7547, -8399, -9817, -11945, -14927? -24*l**3 + 5*l**2 + l - 6947 What is the n'th term of -2532, -4768, -8498, -13716, -20416, -28592, -38238, -49348? n**3 - 753*n**2 + 16*n - 1796 What is the q'th term of -30815, -125903, -284379, -506243, -791495, -1140135, -1552163? -31694*q**2 - 6*q + 885 What is the o'th term of -28270705, -28270707, -28270709, -28270711? -2*o - 28270703 What is the k'th term of 439825, 1759483, 3958913, 7038115, 10997089? 439886*k**2 - 61 What is the x'th term of 593212, 2372845, 5338900, 9491377, 14830276? 593211*x**2 + 1 What is the q'th term of 26042291, 52084614, 78126937, 104169260, 130211583, 156253906? 26042323*q - 32 What is the u'th term of 214401, 428778, 643157, 857538, 1071921, 1286306? u**2 + 214374*u + 26 What is the v'th term of 663, 8065, 30345, 75639, 152083? 1356*v**3 - 697*v**2 + v + 3 What is the g'th term of 16407, 16396, 16385, 16368, 16339? -g**3 + 6*g**2 - 22*g + 16424 What is the w'th term of -1182, -1029, -818, -549, -222? 29*w**2 + 66*w - 1277 What is the v'th term of 108460042, 108460053, 108460064, 108460075, 108460086? 11*v + 108460031 What is the w'th term of 24163, 24228, 24303, 24394, 24507, 24648, 24823, 25038? w**3 - w**2 + 61*w + 24102 What is the c'th term of 1095598, 1095599, 1095598, 1095595, 1095590, 1095583? -c**2 + 4*c + 1095595 What is the r'th term of -327, -879, -1829, -3171, -4899, -7007? r**3 - 205*r**2 + 56*r - 179 What is the d'th term of -1720909, -6883624, -15488147, -27534478, -43022617, -61952564? -1720904*d**2 - 3*d - 2 What is the m'th term of 11876, 23960, 36094, 48278, 60512, 72796? 25*m**2 + 12009*m - 158 What is the r'th term of 188378, 753495, 1695348, 3013937, 4709262? 188368*r**2 + 13*r - 3 What is the z'th term of 415, 370, 275, 136, -41, -250? z**3 - 31*z**2 + 41*z + 404 What is the c'th term of 3157338, 3157393, 3157448, 3157503, 3157558, 3157613? 55*c + 3157283 What is the u'th term of -1024136, -1024142, -1024148? -6*u - 1024130 What is the z'th term of 37423, 73972, 110521, 147070? 36549*z + 874 What is the y'th term of 131389110, 131389097, 131389076, 131389047? -4*y**2 - y + 131389115 What is the c'th term of 27646, 52868, 78096, 103330, 128570, 153816, 179068? 3*c**2 + 25213*c + 2430 What is the l'th term of -1758430, -3516739, -5275048, -7033357, -8791666, -10549975? -1758309*l - 121 What is the x'th term of -76959, -113386, -149811, -186234, -222655, -259074, -295491? x**2 - 36430*x - 40530 What is the m'th term of 238944, 477627, 716310, 954993, 1193676? 238683*m + 261 What is the o'th term of 83646, 668796, 2257072, 5350038, 10449258? 83594*o**3 - o**2 - 5*o + 58 What is the c'th term of 1083, 5145, 13279, 26601, 46227, 73273? 186*c**3 + 920*c**2 - 23 What is the d'th term of -429, -4473, -15247, -36051, -70185? -550*d**3 - 65*d**2 + d + 185 What is the r'th term of 25250, 50936, 77044, 103574, 130526? 211*r**2 + 25053*r - 14 What is the u'th term of 137658, 137560, 137396, 137166, 136870? -33*u**2 + u + 137690 What is the c'th term of 11296, 28548, 45800, 63052, 80304? 17252*c - 5956 What is the x'th term of -6768436, -27073769, -60915996, -108295117? -6768447*x**2 + 8*x + 3 What is the x'th term of -2182, -9327, -28722, -66493, -128766? -1021*x**3 + x**2 - x - 1161 What is the m'th term of -2638, -5187, -7676, -10105, -12474, -14783? 30*m**2 - 2639*m - 29 What is the i'th term of 1842904, 3685807, 5528710, 7371613, 9214516? 1842903*i + 1 What is the d'th term of -111674, -111624, -111574? 50*d - 111724 What is the w'th term of 77957, 155926, 233883, 311822, 389737, 467622, 545471, 623278? -w**3 + 77976*w - 18 What is the z'th term of 21141, 44422, 67703, 90984, 114265? 23281*z - 2140 What is the p'th term of -4677838, -4677897, -4677956, -4678015, -4678074, -4678133? -59*p - 4677779 What is the b'th term of 267, -1191, -5743, -14937, -30321, -53443, -85851, -129093? -258*b**3 + b**2 + 345*b + 179 What is the p'th term of 950884487, 950884489, 950884491, 950884493, 950884495, 950884497? 2*p + 950884485 What is the g'th term of 907037, 907878, 908715, 909548, 910377, 911202? -2*g**2 + 847*g + 906192 What is the q'th term of -4726834, -4726840, -4726846, -4726852? -6*q - 4726828 What is the f'th term of -5063, -4895, -4609, -4199, -3659, -2983? f**3 + 53*f**2 + 2*f - 5119 What is the j'th term of -15752, -58460, -129634, -229268, -357356? j**3 - 14239*j**2 + 2*j - 1516 What is the g'th term of -116101, -124840, -139405, -159796, -186013, -218056, -255925? -2913*g**2 - 113188 What is the b'th term of 92, 802, 2748, 6566, 12892? 106*b**3 - 18*b**2 + 22*b - 18 What is the c'th term of -2633757, -5267526, -7901293, -10535058, -13168821, -15802582? c**2 - 2633772*c + 14 What is the k'th term of 80538, 161152, 241736, 322284, 402790, 483248, 563652, 643996? -k**3 - 9*k**2 + 80648*k - 100 What is the g'th term of -13515035, -27030070, -40545105, -54060140? -13515035*g What is the o'th term of 24046844, 24046838, 24046832, 24046826, 24046820? -6*o + 24046850 What is the g'th term of -254142, -253969, -253784, -253581, -253354, -253097? g**3 + 166*g - 254309 What is the w'th term of 164108, 328293, 492478, 656663, 820848? 164185*w - 77 What is the f'th term of 639433, 639431, 639429, 639427, 639425? -2*f + 639435 What is the a'th term of -28476, -28815, -29134, -29433? 10*a**2 - 369*a - 28117 What is the a'th term of 42085, 84721, 127357, 169993, 212629? 42636*a - 551 What is the l'th term of -729439, -1458564, -2187689, -2916814, -3645939, -4375064? -729125*l - 314 What is the o'th term of 622921, 1245889, 1868857, 2491825, 3114793, 3737761? 622968*o - 47 What is the n'th term of 247035, 247038, 247041, 247044, 247047, 247050? 3*n + 247032 What is the h'th term of -81972, -167641, -253310, -338979, -424648? -85669*h + 3697 What is the x'th term of 2031, 2018, 1961, 1860, 1715, 1526? -22*x**2 + 53*x + 2000 What is the y'th term of 5317, 5166, 4987, 4786, 4569, 4342? y**3 - 20*y**2 - 98*y + 5434 What is the q'th term of -2663, -2664, -2703, -2798, -2967, -3228, -3599? -3*q**3 - q**2 + 23*q - 2682 What is the v'th term of 199502, 399057, 598630, 798227, 997854, 1197517, 1397222? v**3 + 3*v**2 + 199539*v - 41 What is the n'th term of -558, 405, 1366, 2325, 3282? -n**2 + 966*n - 1523 What is the b'th term of 146651, 293243, 439835, 586427, 733019, 879611? 146592*b + 59 What is the y'th term of -43627, -73912, -104197, -134482, -164767? -30285*y - 13342 What is the v'th term of -307, -314, -383, -556, -875, -1382? -7*v**3 + 11*v**2 + 9*v - 320 What is the s'th term of 3008, 13538, 42126, 97802, 189596, 326538, 517658? 1505*s**3 - s**2 - 2*s + 1506 What is the d'th term of 359500, 359725, 359954, 360187, 360424? 2*d**2 + 219*d + 359279 What is the s'th term of -2961, -12065, -27285, -48621, -76073, -109641, -149325? -3058*s**2 + 70*s + 27 What is the v'th term of -27924, -30239, -34104, -39525, -46508? -v**3 - 769*v**2 - v - 27153 What is the m'th term of 28306202, 56612402, 84918602, 113224802, 141531002, 169837202? 28306200*m + 2 What is the v'th term of -142322656, -142322657, -142322658, -142322659, -142322660, -142322661? -v - 142322655 What is the s'th term of -1001070, -1001077, -1001084? -7*s - 1001063 What is the f'th term of -245395, -245377, -245359? 18*f - 245413 What is the d'th term of -1844282, -1844280, -1844278, -1844276, -1844274? 2*d - 1844284 What is the h'th term of -21906, -87549, -196948, -350103, -547014, -787681, -1072104? -21878*h**2 - 9*h - 19 What is the n'th term of -482256, -482280, -482296, -482304? 4*n**2 - 36*n - 482224 What is the x'th term of 33, 690, 1823, 3462, 5637, 8378, 11715, 15678? 5*x**3 + 208*x**2 - 2*x - 178 What is the o'th term of 7092, 28340, 63744, 113304, 1
{ "pile_set_name": "DM Mathematics" }
y ((y/(y**(2/3)/y*y))/(y/(y**(-23)*y)*y))/((y/(y*y*y/y**21))/y**(-2/43)) assuming y is positive. y**(-5510/129) Simplify (w**22/w*w)/(w**(-34)*w)*(w**2*w)/(w**(-25/2)*w) assuming w is positive. w**(139/2) Simplify (k*k**0/k)**41*(k*k*k*k**(2/13))**(3/20) assuming k is positive. k**(123/260) Simplify ((s/(s*(s*s**(3/4)*s)/s))/s)/(s/(s*(s/s**(6/5))/s))*s**(3/4)*s*s**(-3/4) assuming s is positive. s**(-59/20) Simplify h**(-2)/h**(-1/15)*(h*h**(-8)/h*h)/h**(-12) assuming h is positive. h**(46/15) Simplify (x**(-23)*x)**37*x**(-1)/x**(-6/5) assuming x is positive. x**(-4069/5) Simplify (q**(1/5)/(q*q/(((q/(q*q**(-1/5)))/q)/q))*q**(-5)/((q*q**(-1/7)*q)/q))**(-28) assuming q is positive. q**(1324/5) Simplify ((i/i**2)/i)**(-37/2)*(i*i**(-4))**(-1/3) assuming i is positive. i**38 Simplify (m/(m**(6/5)*m)*(m*m*m**(-2))/m)/(((m**0/m)/m)/m)**35 assuming m is positive. m**(514/5) Simplify x**0*((x*x*x/x**(-9))/x)/x*(x/(x*x/x**(-3/4)))**(-2/3) assuming x is positive. x**(67/6) Simplify (g/g**(4/7))/(g*g**(-2/13))*(g*g*g/g**(1/13))**(-2/7) assuming g is positive. g**(-114/91) Simplify ((y*y**(-2/5)*y**(-18))**(-20))**(1/75) assuming y is positive. y**(116/25) Simplify u**(-3/8)/u**(-3/16)*(u*u*u*(u*((u/(u*u**15))/u*u)/u)/u)**(-18) assuming u is positive. u**(3741/16) Simplify u**(-1/10)/(u/(((u*(u**30/u)/u)/u)/u)*u)*(u**(2/25)*u)**(-19) assuming u is positive. u**(219/50) Simplify ((b*b**(-1))**(-1/12)/(b**(-6)*b/b**(-3)))**(3/16) assuming b is positive. b**(3/8) Simplify ((z**0/z)**38*z*z**0*z/z**(2/13))**(-18) assuming z is positive. z**(8460/13) Simplify (w**(-11)/(w**(-1)*w))/(w**(-2/11))**(11/5) assuming w is positive. w**(-53/5) Simplify (u/(u*u*u**(-1/40)*u)*(u**(-1/7)*u)/u)/(u**(-12))**(-1/5) assuming u is positive. u**(-253/56) Simplify ((z*z*z*(z*z**(2/17))/z*z*z*z)/((z/z**(1/4))/z))/(z**8*z**7) assuming z is positive. z**(-587/68) Simplify (((i**(-1/2)*i)/i)/((i*i**(-1/15))/i))/(i/((i*i**1)/i))**36 assuming i is positive. i**(-13/30) Simplify ((l*l**(2/41))/(l*l*l**(-29)/l*l))**(-14) assuming l is positive. l**(-16100/41) Simplify ((t/t**(-32))/((t*t/t**20*t)/t))**(-29/4) assuming t is positive. t**(-1479/4) Simplify (y**(-23)*y*y**(-1/10)*y*y*y*y*y*y)/(y**26*(y*y**(-1/2))/y) assuming y is positive. y**(-208/5) Simplify (m/((m*m*m/m**(-2/7))/m))/(m/m**(-4))*(m/(m**5/m))**(-31) assuming m is positive. m**(607/7) Simplify (f**(-1/3))**(-2/13)/(f**(2/19))**22 assuming f is positive. f**(-1678/741) Simplify (w*w**(-3/10))**(-33)/(w**(-4)*w)**26 assuming w is positive. w**(549/10) Simplify (u**(-1/20))**(-25)/(u**(-5))**(-43) assuming u is positive. u**(-855/4) Simplify ((o**(-2/7))**(-3)/(o**(-2/5))**(-1/30))**44 assuming o is positive. o**(19492/525) Simplify a*a**4*a**14*a*a/(a*a**(-2/39))*a*(a*a**11)/a assuming a is positive. a**(1250/39) Simplify (j**(1/19)*j)**(-12)/(j/(j*j**(-1/18)*j)*j*j*j**(3/16)) assuming j is positive. j**(-37961/2736) Simplify (x**(-5)/x*x**(-18))/(((x/(((x**23*x)/x*x*x*x)/x*x*x))/x)/(x**(-2)*x)) assuming x is positive. x**2 Simplify (o**(-3/7)/o)**17*(o**(2/3))**43 assuming o is positive. o**(92/21) Simplify (((y*y*y**(1/3))/y)**(-1/15))**(4/23) assuming y is positive. y**(-16/1035) Simplify (u**(-6))**31/(u**(-3/11)*u**(-2/15)/u) assuming u is positive. u**(-30458/165) Simplify (((d*d**(-13))/d)/d*d*d/(d**(-1/8)/d))/(d/(d/(d*d*d/((d*d/(d*d**(1/30)*d)*d*d*d)/d)*d))*d**(-2/53)/d) assuming d is positive. d**(-75497/6360) Simplify (r**(8/9)/(r**(-1)*r))/(r**(6/7))**(-9/8) assuming r is positive. r**(467/252) Simplify (w**(2/3)/w*w)**(-7/5)*w**(2/3)*w/(w*(w**(2/9)/w)/w)*w*w assuming w is positive. w**(158/45) Simplify ((a/(a*a**(-6)))/a**12)**(-2/51) assuming a is positive. a**(4/17) Simplify z/z**22*(z*z*z**18/z)/z*z*(z**(2/69)*z*z*z*z)**(2/13) assuming z is positive. z**(-1238/897) Simplify (q/((q*q*q*q*q*q*q**(2/11)*q)/q)*q**0*(q**(-1/2))**34)**14 assuming q is positive. q**(-3416/11) Simplify (d*d*d**(-1/4)*d)**(3/7)/(d**(9/7)*d/d**(-2/27)) assuming d is positive. d**(-893/756) Simplify (b/b**(-6/11)*b*b**(3/2)*b)/(b**(-7/2)/b**28) assuming b is positive. b**(402/11) Simplify ((i/((i*i/(i*i**(1/2))*i)/i)*i)**16*((i*i**0)/i)/(i*(i**(2/11)*i*i)/i*i*i*i))**26 assuming i is positive. i**(5382/11) Simplify ((k/k**(1/2))**(-8/7)/(k*k**(-1/5)*k*k)**13)**(-2/9) assuming k is positive. k**(2588/315) Simplify ((k/k**(1/3)*((k**(1/3)/k)/k)/k*k)/((k*k**7)/k**2))**(2/5) assuming k is positive. k**(-14/5) Simplify ((t**18)**23)**(-38) assuming t is positive. t**(-15732) Simplify (w/(w*w**(4/3)))/w*w/w**(-17)*w/(((w*w**11/w)/w)/w)*w**19/w*w*w assuming w is positive. w**(83/3) Simplify ((h/(h/h**0)*h**(-3/2))/(h**(-6)*h*h**(2/3)))**(1/8) assuming h is positive. h**(17/48) Simplify ((a**(-2/5))**(-41)/(a**6/(a/((a/a**0*a*a)/a)*a)))**(-39) assuming a is positive. a**(-2028/5) Simplify (k/(k*k**(-4/9)*k*k)*k**(-11))**2 assuming k is positive. k**(-226/9) Simplify ((t*t**(1/24))/t)/(t*t/(((t**(2/5)/t)/t)/t)*t)*(t**(-7/5))**(2/13) assuming t is positive. t**(-9007/1560) Simplify ((r**(10/9)/(r/(r/r**(5/8))))**12)**(-5/2) assuming r is positive. r**(-175/12) Simplify ((f*f/(f/(f*(f*f/((f*(f**(-11)/f)/f*f)/f)*f)/f)))**(-9/5))**33 assuming f is positive. f**(-4752/5) Simplify j**(-2/3)*j*j*j/j**12*(j*j*(j/(j/(((((j/j**(-1/18))/j)/j)/j)/j))*j)/j*j)/(j*j**(-2/35)) assuming j is positive. j**(-6649/630) Simplify (l/l**(-4/5))/(l**16*l)*(l**2)**39 assuming l is positive. l**(314/5) Simplify ((((f/f**(1/5))/f*f)/f)/f)**(1/33)/(f**(-3/5)*f**12*f) assuming f is positive. f**(-684/55) Simplify (((x/(x/(((x*x/x**(-8/5))/x)/x*x)))**(-2/27))**(2/83))**(3/25) assuming x is positive. x**(-52/93375) Simplify (q*q*q**3*q*q)/q**(-11)*q*q**1*q*q*q*q/(q/(q**14/q))*q assuming q is positive. q**37 Simplify (i**(-1/9)*i*(i**(-12)/i)/i)/(i/(i**(1/6)*i)*i*(i/((i**11*i)/i))/i*i) assuming i is positive. i**(-71/18) Simplify (w/w**(-3)*w*w/(w/w**(2/17)))/((w/(w**(2/15)*w))/w*w)**(-1/12) assuming w is positive. w**(7813/1530) Simplify (j**12*j*(j*(j*j*j/(j/j**(-12)))/j)/j*j)/(j/j**(-1/20)*j**(2/11)) assuming j is positive. j**(389/220) Simplify b**19*b**(1/5)*(b**(2/11)/b)**(2/19) assuming b is positive. b**(19974/1045) Simplify (r**(-13/3)*r)/r**(-13)*(r**(-1/2))**(-25/4) assuming r is positive. r**(307/24) Simplify ((i**(-2/3)/(i/i**(-4/5)*i))/((i**(6/7)/i)/(i/(i/(i**(-2)/i)))))**46 assuming i is positive. i**(-30544/105) Simplify (u*u**(1/4))/u**(-6)*(u*u/((u*u/(u*u*u**(-12)*u))/u))**(-42) assuming u is positive. u**(1373/4) Simplify (b**(2/7)/b**19)/(b*b**(-3/11)/b)**(-6/13) assuming b is positive. b**(-18859/1001) Simplify (u**(-3/10)*u)**45*(u**(8/5))**43 assuming u is positive. u**(1003/10) Simplify h**(2/11)/h**(-36)*(h/(h*(h**(-7)*h)/h)*h)/h**(24/11) assuming h is positive. h**42 Simplify (f**(3/8)/(f**15*f))/(f**(-1/3)/f)**(2/21) assuming f is positive. f**(-7811/504) Simplify d**(3/2)*d**11*(d/(((d*d*((d/d**(-2))/d)/d*d*d)/d)/d))**(11/8) assuming d is positive. d**(39/4) Simplify (y**(2/23))**(6/11)*((y*y/y**(1/11))/y)/(y**13*y) assuming y is positive. y**(-300/23) Simplify ((c/c**26)/c*c**(-3/4))/(((c*c**(2/13))/c)/(c/c**(-7/2))) assuming c is positive. c**(-1165/52) Simplify (f**(-5)*f**26)/(f**(4/19)/(f*f**(-29))) assuming f is positive. f**(-137/19) Simplify ((a/((a/a**20*a)/a))/(a**(-7)*a))/(a/(a**7/a))**(-27) assuming a is positive. a**(-109) Simplify (((v*((v/(v/(v/(v/(v*v**(-22))))))/v*v)/v)/v**(-5))**(2/13))**16 assuming v is positive. v**(-512/13) Simplify (o**0)**(-4/15)/(o**(-2/9)/o*o/o**(2/17)) assuming o is positive. o**(52/153) Simplify ((n*n*n**(-3/4))/(((n/(n*n**1*n))/n*n)/n*n)*n**(-1/2)*n**(-2/11))**3 assuming n is positive. n**(339/44) Simplify ((m/((m/m**(-7/5))/m))**(-47))**(-10/3) assuming m is positive. m**(-188/3) Simplify (h**(1/4))**(-14)/(((h*h*h**(1/8))/h*h)/h)**10 assuming h is positive. h**(-59/4) Simplify (t/(t/t**17)*(t**(-3/10)*t)/t*t)/((t*t*t**(3/14))/((((t/t**(2/25)*t)/t)/t)/t)) assuming t is positive. t**(2521/175) Simplify ((o*o*o**(-3/37))/((o/(o*o**(-4)))/o))**(-38) assuming o is positive. o**(1520/37) Simplify (((y**(1/2)/y)/(y/(y/y**4)))/(y*(y*y*y**(-2)/y)/y*y*y**(-4)*y*y*y))**(10/3) assuming y is positive. y**(-35/3) Simplify ((d*d*d**(2/3))**(3/11)/(d**1*d)**(-43))**(5/13) assuming d is positive. d**(4770/143) Sim
{ "pile_set_name": "DM Mathematics" }
. 75167820 What is the lowest common multiple of 27 and 209205? 627615 What is the common denominator of -61/911772 and -91/207518? 115795044 Calculate the least common multiple of 3 and 173725249. 521175747 What is the lowest common multiple of 29580 and 9576780? 277726620 Calculate the smallest common multiple of 26667526 and 495372. 160005156 Calculate the smallest common multiple of 11024 and 165672. 17561232 Calculate the common denominator of 85/8 and -13/8245360. 8245360 What is the common denominator of 53/684208 and 43/488720? 3421040 Find the common denominator of -57/10452988 and -20/29939. 73170916 Calculate the common denominator of 13/77988 and -137/804. 77988 Calculate the lowest common multiple of 205740 and 7872. 134965440 Calculate the least common multiple of 67370184 and 3332. 471591288 Calculate the common denominator of -20/45153 and 14/319. 496683 What is the common denominator of 81/6945922 and 121/2016558? 62513298 Calculate the least common multiple of 1867446 and 420. 18674460 Find the common denominator of -11/78819 and -75/16168. 630552 Calculate the smallest common multiple of 13146570 and 138. 13146570 What is the least common multiple of 156 and 597282? 15529332 What is the common denominator of 1/155369970 and -8/129474975? 776849850 Find the common denominator of -117/23230 and -95/1211088. 611599440 Calculate the common denominator of -17/4 and 79/4061758. 8123516 Calculate the common denominator of 41/171746994 and -71/15. 858734970 Calculate the common denominator of -5/92 and 23/1611820. 37071860 Calculate the smallest common multiple of 2946 and 129624. 129624 What is the common denominator of 97/81218928 and -149/221238? 730970352 Find the common denominator of 39/1526 and 39/2656766. 2656766 Calculate the least common multiple of 121805 and 2493420. 42388140 Calculate the lowest common multiple of 531405 and 450. 5314050 Calculate the smallest common multiple of 3098146 and 470. 15490730 Calculate the common denominator of -119/186 and 43/80978758. 242936274 Calculate the lowest common multiple of 899 and 12072062. 374233922 Find the common denominator of -73/24176688 and -65/444. 24176688 Calculate the smallest common multiple of 3910560 and 15642240. 15642240 Calculate the common denominator of 5/941661 and 107/9117670. 574413210 Calculate the smallest common multiple of 307932 and 30793200. 30793200 Calculate the common denominator of -97/98340 and -61/721160. 2163480 What is the common denominator of -11/36760200 and -23/106604580? 1066045800 What is the least common multiple of 338 and 530634? 6898242 What is the smallest common multiple of 14143824 and 116686548? 466746192 What is the common denominator of -113/292111280 and -61/120? 876333840 What is the lowest common multiple of 187572 and 5481? 1688148 Calculate the lowest common multiple of 18606 and 67760. 90053040 What is the common denominator of 123/27550 and -109/5768970? 28844850 Calculate the common denominator of 103/548655930 and 13/6. 548655930 What is the common denominator of -87/695204 and 15/604? 695204 What is the smallest common multiple of 154 and 17231082? 120617574 What is the lowest common multiple of 594 and 29784054? 2948621346 Find the common denominator of 73/5399218 and -111/253763246. 253763246 What is the smallest common multiple of 974922 and 928? 15598752 What is the smallest common multiple of 1295 and 22869959? 114349795 Find the common denominator of 169/378 and 101/13148814. 118339326 Calculate the common denominator of 61/17891676 and -73/60. 89458380 What is the lowest common multiple of 53153565 and 194896405? 584689215 Calculate the common denominator of -39 and -143/6179442. 6179442 What is the least common multiple of 34549845 and 363? 380048295 What is the least common multiple of 72 and 37899180? 75798360 What is the least common multiple of 2368989 and 451236? 9475956 Find the common denominator of 17/5132 and 5/2705847. 10823388 What is the common denominator of 7/130 and 13/66283020? 861679260 Calculate the common denominator of 41/7996388 and -47/2976. 191913312 Calculate the common denominator of 97/10 and 49/1552905. 3105810 What is the common denominator of 34/114681 and 95/693? 3784473 Calculate the common denominator of -31/781275 and 34/90849. 2150850075 What is the common denominator of 31/997672 and 29/76744? 997672 Calculate the common denominator of -37/2736495 and 91/50. 27364950 What is the lowest common multiple of 1735048 and 504? 15615432 What is the lowest common multiple of 2865660 and 2100? 14328300 Find the common denominator of -223/8943480 and 143/146160. 518721840 What is the lowest common multiple of 659720 and 164930? 659720 Calculate the smallest common multiple of 12 and 114851930. 689111580 Calculate the lowest common multiple of 55701 and 1431. 2952153 Calculate the lowest common multiple of 18339678 and 819. 238415814 What is the smallest common multiple of 32704 and 36792? 294336 Find the common denominator of -49/9192818 and -30/1319761. 266591722 Calculate the lowest common multiple of 99849666 and 5661579. 1098346326 Calculate the smallest common multiple of 9691642 and 1923532. 251982692 Find the common denominator of 87/4642 and -71/20757. 8759454 What is the smallest common multiple of 3237 and 449? 1453413 Calculate the smallest common multiple of 23280 and 73545885. 1176734160 Find the common denominator of 25/3072 and -119/904704. 1809408 What is the least common multiple of 34642670 and 140? 484997380 What is the common denominator of 55/168 and 137/30334752? 30334752 Calculate the smallest common multiple of 3840 and 33600. 134400 What is the common denominator of -71/476300 and 69/55600? 264822800 Find the common denominator of -25/5632 and -5/263184. 92640768 What is the lowest common multiple of 5 and 271214226? 1356071130 Calculate the common denominator of 109/1101024 and 73/2088. 31929696 What is the least common multiple of 6864 and 22104? 6321744 Calculate the least common multiple of 118405 and 28560. 5683440 What is the common denominator of 53/68848 and 59/516? 8881392 What is the common denominator of -16/6386931 and 17/1158294? 906944202 What is the lowest common multiple of 26 and 5508919? 11017838 Calculate the common denominator of 45/4 and 28/54282019. 217128076 Calculate the common denominator of -29/410114 and 139/1590. 6151710 Calculate the common denominator of -97/2181154 and 73/12. 13086924 Find the common denominator of 65/4336 and 61/1249852. 4999408 Calculate the common denominator of 107/152 and 9/198512. 198512 Find the common denominator of -38/86573979 and -5/22134. 1212035706 Calculate the smallest common multiple of 58 and 355822. 10318838 Find the common denominator of 65/1062 and 143/163931382. 163931382 Find the common denominator of -17/248900 and 10/108861. 206835900 What is the common denominator of -1/2191987 and -83/2922? 13151922 Find the common denominator of -133/631403772 and -127/36. 1894211316 What is the common denominator of 145/41233248 and 11/31640? 206166240 Calculate the smallest common multiple of 6162736 and 66. 203370288 What is the least common multiple of 54 and 2144494? 57901338 Calculate the lowest common multiple of 20 and 234543934. 2345439340 What is the common denominator of 65/6 and -13/60846441? 121692882 Calculate the common denominator of -127/3057198 and 137/200472. 12228792 What is the least common multiple of 10 and 4170734? 20853670 Calculate the common denominator of -163/10334040 and -73/3100212. 31002120 Calculate the smallest common multiple of 120 and 242104. 3631560 What is the lowest common multiple of 1341 and 1456830? 217067670 Find the common denominator of 52/21 and 44/38643831. 270506817 What is the common denominator of 43/2531997 and 12/182039? 27851967 Calculate the smallest common multiple of 4230 and 22500. 1057500 What is the common denominator of -63/923866 and 79/16? 7390928 Calculate the common denominator of -9/608 and 7/7583508. 60668064 What is the least common multiple of 2224464 and 4596? 2224464 What is the smallest common multiple of 8326937 and 18728? 66615496 Calculate the least common multiple of 66693 and 8. 533544 What is the least common multiple of 1
{ "pile_set_name": "DM Mathematics" }
g so that -g**4/2 - 45*g**3/2 - 87*g**2/2 - 43*g/2 = 0. -43, -1, 0 Factor 4*r**4 - 28*r**3 + 24*r**2 + 128*r - 128. 4*(r - 4)**2*(r - 1)*(r + 2) Factor 6*f**3 - 21*f**2 - 12*f. 3*f*(f - 4)*(2*f + 1) Suppose 2*w**3/19 - 28*w**2/19 + 106*w/19 - 80/19 = 0. Calculate w. 1, 5, 8 Suppose -10*h**4/7 - 96*h**3/7 + 2250*h**2/7 - 2984*h/7 + 120 = 0. Calculate h. -21, 2/5, 1, 10 Solve 4*q**5/3 - 18*q**4 + 154*q**3/3 - 48*q**2 + 40*q/3 = 0. 0, 1/2, 1, 2, 10 What is b in -3*b**2 - 51*b + 252 = 0? -21, 4 Factor -8*a**3/9 - 94*a**2/9 - 52*a/3. -2*a*(a + 2)*(4*a + 39)/9 Solve 81*v**4 - 207*v**3 + 58*v**2 + 60*v + 8 = 0 for v. -2/9, 1, 2 Factor 2*l**2/7 - 922*l/7 + 1836/7. 2*(l - 459)*(l - 2)/7 Find n, given that -3*n**2 - 1554*n - 6168 = 0. -514, -4 Suppose -p**5/4 - 13*p**4 - 725*p**3/4 - 625*p**2/2 = 0. Calculate p. -25, -2, 0 Suppose n**3/3 - 8*n**2/3 - 55*n/3 + 350/3 = 0. What is n? -7, 5, 10 Factor -n**4/7 - 32*n**3/7 - 318*n**2/7 - 160*n - 119. -(n + 1)*(n + 7)**2*(n + 17)/7 Factor -3*g**4 - 12*g**3 - 15*g**2 - 6*g. -3*g*(g + 1)**2*(g + 2) Factor -2*h**4 - 364*h**3 + 2*h**2 + 364*h. -2*h*(h - 1)*(h + 1)*(h + 182) Let 6*h**5 + 232*h**4 + 800*h**3 + 1068*h**2 + 634*h + 140 = 0. What is h? -35, -1, -2/3 Let -q**4/4 + 135*q**3/4 + 9*q**2/4 - 1215*q/4 = 0. Calculate q. -3, 0, 3, 135 Factor u**4/3 + 46*u**3/3 + 131*u**2/3 + 86*u/3. u*(u + 1)*(u + 2)*(u + 43)/3 Factor -3*g**3 - 117*g**2 - 1296*g - 2916. -3*(g + 3)*(g + 18)**2 Factor -4*z**3/3 + 61*z**2/3 - 4*z - 15. -(z - 15)*(z - 1)*(4*z + 3)/3 Let b**5/6 - b**4/3 - b**3/2 + 4*b**2/3 - 2*b/3 = 0. What is b? -2, 0, 1, 2 Determine g so that 18*g**5 + 183*g**4 - 384*g**3 + 147*g**2 + 36*g = 0. -12, -1/6, 0, 1 Solve -o**2/6 + 304*o/3 - 46208/3 = 0. 304 Factor u**2/3 - 98*u/3 - 200/3. (u - 100)*(u + 2)/3 Factor -t**4/3 + 7*t**3/3 - 5*t**2 + 13*t/3 - 4/3. -(t - 4)*(t - 1)**3/3 Factor -f**3/8 - 1087*f**2/8 + 136*f. -f*(f - 1)*(f + 1088)/8 Factor -3*t**3 + 45*t**2 - 144*t - 192. -3*(t - 8)**2*(t + 1) Find r such that -r**5 + 33*r**4 - 119*r**3 + 83*r**2 + 120*r - 116 = 0. -1, 1, 2, 29 Factor -4*z**3 - 72*z**2 - 276*z - 208. -4*(z + 1)*(z + 4)*(z + 13) Factor l**4/2 - 2771*l**3 + 5119884*l**2 - 3155553325*l + 6300872423/2. (l - 1847)**3*(l - 1)/2 Determine f, given that 45*f**3 + 411*f**2 - 8160*f + 5244 = 0. -19, 2/3, 46/5 Factor z**3 - 128*z**2 - 260*z. z*(z - 130)*(z + 2) Factor -l**3/5 - 24*l**2/5 - 68*l/5 + 48. -(l - 2)*(l + 6)*(l + 20)/5 Factor -2*s**3/9 + 62*s**2/3 - 470*s - 4418/9. -2*(s - 47)**2*(s + 1)/9 Solve 19*b**2 + 150*b - 16 = 0. -8, 2/19 Let -4*g**2 - 64*g + 320 = 0. Calculate g. -20, 4 Find t such that t**4/3 + 40*t**3/3 + 358*t**2/3 - 280*t + 147 = 0. -21, 1 Let h**4/9 + h**3/9 - 2*h**2/9 = 0. Calculate h. -2, 0, 1 Factor -l**5 + 16*l**4 - 78*l**3 + 112*l**2 - 49*l. -l*(l - 7)**2*(l - 1)**2 Factor 5*l**2/3 + 230*l/3 - 1400. 5*(l - 14)*(l + 60)/3 Let 3*a**5 - 9*a**4 - 87*a**3 + 9*a**2 + 84*a = 0. Calculate a. -4, -1, 0, 1, 7 Suppose q**3/11 + q**2/11 - 197*q/11 + 195/11 = 0. Calculate q. -15, 1, 13 Let -5*l**3 + 25*l**2 - 40*l + 20 = 0. What is l? 1, 2 Find j, given that -637*j**5/4 + 476*j**4 + 116*j**3 - 573*j**2/2 - 531*j/4 - 27/2 = 0. -3/7, -2/13, 1, 3 Factor -d**4/3 - 5*d**3/3 - 2*d**2 + 4*d/3 + 8/3. -(d - 1)*(d + 2)**3/3 Let 2*p**4 - 28*p**3 - 104*p**2 + 28*p + 102 = 0. Calculate p. -3, -1, 1, 17 Determine f so that -21*f**5/4 + 45*f**4/2 - 87*f**3/4 - 33*f**2/2 + 27*f - 6 = 0. -1, 2/7, 1, 2 Factor 2*l**4/13 - 744*l**3/13 + 69192*l**2/13. 2*l**2*(l - 186)**2/13 Factor -2*t**2/11 - 1246*t/11. -2*t*(t + 623)/11 Factor 3*i**3 + 978*i**2 + 76692*i - 496008. 3*(i - 6)*(i + 166)**2 Let -p**2 - 51*p - 144 = 0. Calculate p. -48, -3 Determine d so that 2*d**4/19 - 72*d**3/19 + 774*d**2/19 - 2240*d/19 + 1536/19 = 0. 1, 3, 16 Determine q, given that -5*q**5/3 + 10*q**4 - 20*q**3 + 50*q**2/3 - 5*q = 0. 0, 1, 3 Factor -f**2/3 + 52*f/3 - 100/3. -(f - 50)*(f - 2)/3 Factor -3*p**3 - 138*p**2 - 516*p - 504. -3*(p + 2)**2*(p + 42) Determine g so that -3*g**5/2 - 6*g**4 + 6*g**3 + 24*g**2 = 0. -4, -2, 0, 2 What is k in 4*k**3 - 44*k**2 = 0? 0, 11 Factor -2*t**2 + 20*t - 50. -2*(t - 5)**2 Suppose 2*u**3/5 - 78*u**2/5 + 144*u - 1944/5 = 0. What is u? 6, 27 What is s in 4*s**4 + 140*s**3 + 1608*s**2 + 6608*s + 7840 = 0? -14, -5, -2 Determine f, given that -2*f**4/5 + 2*f**3/5 + 24*f**2/5 + 8*f/5 - 32/5 = 0. -2, 1, 4 Factor 4*g**5 - 12*g**4 + 8*g**3 + 8*g**2 - 12*g + 4. 4*(g - 1)**4*(g + 1) Factor 2*r**3 + 68*r**2 - 70*r. 2*r*(r - 1)*(r + 35) Find f such that 8*f**3 + 16*f**2 + 10*f + 2 = 0. -1, -1/2 Factor -14*h**2/3 + 250*h/3 + 12. -2*(h - 18)*(7*h + 1)/3 Let -2*q**5 + 34*q**4 + 232*q**3 - 200*q**2 - 1472*q + 1408 = 0. Calculate q. -4, 1, 2, 22 Factor 9*i**3/4 - 25*i**2/4 - 3*i/2. i*(i - 3)*(9*i + 2)/4 Factor 2*a**3 + 139*a**2 + 205*a + 68. (a + 1)*(a + 68)*(2*a + 1) Suppose -2*j**3 + 86*j**2 - 164*j = 0. Calculate j. 0, 2, 41 Factor 2*h**2/11 + 354*h/11. 2*h*(h + 177)/11 Suppose 36*g**5 - 324*g**4 - 367*g**3 + 54*g**2 + 156*g + 40 = 0. Calculate g. -2/3, -1/2, 2/3, 10 Determine j so that -5*j**4 + 265*j**3 + 35*j**2 - 1825*j - 1590 = 0. -2, -1, 3, 53 Factor -13*s**3/5 - 108*s**2/5 - 276*s/5 - 224/5. -(s + 2)**2*(13*s + 56)/5 Solve -2*m**2/5 - 18*m/5 - 36/5 = 0 for m. -6, -3 Factor -4*b**4 + 136*b**3 - 816*b**2 + 1656*b - 972. -4*(b - 27)*(b - 3)**2*(b - 1) Suppose -5*z**2 - 10*z = 0. What is z? -2, 0 Let y**2/4 - 17*y/4 = 0. Calculate y. 0, 17 Factor v**3/4 + 9*v**2/4 + 11*v/4 - 21/4. (v - 1)*(v + 3)*(v + 7)/4 Factor 3*m**3/2 + 405*m**2/2 + 1332*m - 1536. 3*(m - 1)*(m + 8)*(m + 128)/2 Determine m so that 3*m**4/8 + 3*m**3/8 - 9*m**2/2 = 0. -4, 0, 3 Factor 4*w**4 + 32*w**3 + 24*w**2 - 160*w + 100. 4*(w - 1)**2*(w + 5)**2 Determine i so that -230*i**4 + 1595*i**3 + 105*i**2 = 0. -3/46, 0, 7 Factor -3*g**4/4 - 33*g**3/4 - 105*g**2/4 - 75*g/4. -3*g*(g + 1)*(g + 5)**2/4 Let 3*m**3 - 984*m**2 + 981*m = 0. Calculate m. 0, 1, 327 Find w, given that -8*w**4/3 - 232*w**3/3 - 766*w**2 - 8932*w/3 - 11858/3 = 0. -11, -7/2 Determine g so that -5*g**5 - 60*g**4 - 190*g**3 - 260*g**2 - 165*g - 40 = 0. -8, -1 Factor -2*d**4/3 - 10*d**3/3 - 6*d**2 - 14*d/3 - 4/3. -2*(d + 1)**3*(d + 2)/3 Find j, given that 2*j**4/3 - j**3/3 - 4*j**2/3 + j = 0. -3/2, 0, 1 Let 2*i**5/5 - 6*i**4/5 - 26*i**3/5 + 6*i**2 = 0. What is i? -3, 0, 1, 5 Find w, given that -2*w**2/15 - 328*w/15 - 13448/15 = 0. -82 Factor -c**3 - 7*c**2 + 10*c + 16. -(c - 2)*(c + 1)*(c + 8) Suppose 16*r**3/3 - 7144*r**2/3 + 3569*r/3 - 446/3 = 0. Calculate r. 1/4, 446 Let 3*z**2 - 13662*z + 15554187 = 0. Calculate z. 2277 Determine p so that 4*p**3 - 32*p**2 + 84*p - 72 = 0. 2, 3 Solve -z**4/6 + 5*z**3/6 + 14*z**2 + 122*z/3 + 104/3 = 0 for z. -4, -2, 13 Determine t so that -5*t**2 - 5170*t - 1336445 = 0. -517 Factor g**2/7 - 2962*g/7 + 2193361/7. (g - 1481)**2/7 Factor 196*g**4 + 1428*g**3 + 1572*g**2 + 364*g + 24. 4*(g + 1)*(g + 6)*(7*g + 1)**2 Find f such that -3*f**5/5 - 6*f**4/5 + 12*f**3/5 + 6*f**2/5 - 9*f/5 = 0. -3, -1, 0, 1 Factor -3*n**2/5 - 792*n/5 + 1596/5. -3*(n - 2)*(n + 266)/5 Factor 2*w**3 - 1224*w**2 + 1222*w. 2*w*(w - 611)*(w - 1) Suppose -4*u**5/7 + 44*u**4/7 - 164*u**3/7 + 28*u**2 + 120*u/7 - 288/7 = 0. What is u? -1, 2, 3, 4 Factor y**3/4 + 527*y**2/4 + 17554*y + 51483. (y + 3)*(y + 262)**2/4 Factor b**2/4 + 391*b/4 - 98. (b - 1)*(b + 392)/4 Find p, given that p**2/2 - 7*p - 15/2 = 0. -1, 15 Find o such that 11*o**5/9 + 311*o**4/3 + 184*o**3 - 332*o**2/9 = 0. -83, -2, 0, 2/11 Factor -2*n**2/5 - 44*n - 848/5. -2*(n + 4)*(n + 106)/5 Factor 3*b**4/2 - 9*b**3 + 27*b**2/2 + 6*b - 18. 3*(b - 3)*(b - 2)**2*(b + 1)/2 Find m, given that -6*m**5 + 243*m**4 - 348*m**3 - 126*m**2 + 354*m - 117 = 0. -1, 1/2, 1, 39 Determine w so that 2*w**2/5 - 2996*w/5 + 1122002/5 = 0. 749 What is y in 4*y**4 + 876*y**3 + 10904*y**2 + 39696*y + 29664 = 0? -206, -6, -1 Suppose -3*d**4 + 102*d**3 + 960*d**2 + 2016*d = 0. Calculate d. -4, 0, 42 Let -25*a**2 + 110*a - 120 = 0. Calculate a. 2, 12/5 Solve 4*t**2 - 2168*t = 0. 0, 542 Solve 2*z**2 - 44*z + 42 = 0 for z. 1, 21 Find p such that 4*p**3 + 1144*p**2 + 4528*p + 4512 = 0. -282, -2 Determine p, given that 4*p**4 - 32*p**3 + 44*p**2 + 32*p - 48 = 0. -1, 1, 2, 6 Determine w, given that -w**3/4 + 19*w**2/2 + 79*w/4 + 10 = 0. -1, 40 Fac
{ "pile_set_name": "DM Mathematics" }
(sqrt(1088) + -2)) + -5 + 2*((-1 + sqrt(1088) - sqrt(1088)) + sqrt(1088) + sqrt(1088)))*3)**2. -2880*sqrt(17) + 156897 Simplify ((sqrt(500) - 2*-3*sqrt(500)) + sqrt(500))**2 + sqrt(500) + 3 + sqrt(500) + 3 + sqrt(500). 30*sqrt(5) + 32006 Simplify -3 + 5 + ((6*(sqrt(252) + 0))**2 - (sqrt(252) + -5*1*sqrt(252))**2). 5042 Simplify -6*(-3 + ((sqrt(128) + 1 - sqrt(128))**2 - (((sqrt(2) + 1 - sqrt(2)) + sqrt(2))*5 + sqrt(2) - sqrt(2)))). 42 + 30*sqrt(2) Simplify (((1*sqrt(21) + sqrt(21))/sqrt(3))**2 - (-5 + sqrt(14)/sqrt(2))) + -2 + (1 + -2 + sqrt(28) + -3)**2. -17*sqrt(7) + 75 Simplify -1 + ((sqrt(32))**2 + 1 - sqrt(242)*-2). 22*sqrt(2) + 32 Simplify (6*-1*sqrt(77)*6)/(sqrt(175)*-1*4). 9*sqrt(11)/5 Simplify ((-2*sqrt(102))/sqrt(2))/(3*sqrt(3)*-2)*1. sqrt(17)/3 Simplify -5 + (-4 + sqrt(9072) + (sqrt(9072) + -1)*6)**2 + 1. -5040*sqrt(7) + 444624 Simplify ((sqrt(700) - sqrt(7)) + 1 + (sqrt(28)/sqrt(4) + 4)**2)*5. 120 + 85*sqrt(7) Simplify ((-3*sqrt(204))/sqrt(12) - (-2 + sqrt(17) + 4)**2) + (sqrt(2057) - ((sqrt(2057) + 1 - sqrt(2057)) + -4))**2 + (3 + (sqrt(2057) - (sqrt(2057) + 0)))**2. 59*sqrt(17) + 2054 Simplify 1*(6*(sqrt(180) - (sqrt(180)*3 - sqrt(180))**2) + (-5 + (sqrt(180)*-2 - sqrt(180)))**2). -2675 + 216*sqrt(5) Simplify sqrt(972) + 2 + 3 - (0 + sqrt(108) + -5 + (sqrt(3) - sqrt(3)*-3))**2. -320 + 118*sqrt(3) Simplify sqrt(13) - (sqrt(52)/sqrt(4) + -3) - 2*(sqrt(208) - sqrt(13)) - ((sqrt(143)/(sqrt(11) + (sqrt(11) - sqrt(44)/sqrt(4))))**2 - -1*sqrt(637)). -13*sqrt(13) - 10 Simplify 3*(sqrt(114)/sqrt(3))/sqrt(2)*-3 + 0 + 4*1*sqrt(475). 11*sqrt(19) Simplify 2*sqrt(18)/sqrt(6) + sqrt(300)*2 - ((sqrt(18)/sqrt(6))**2 + 1 + (sqrt(3) + 0)*-3). -4 + 25*sqrt(3) Simplify (5*(sqrt(4356) - -1*sqrt(4356)) - sqrt(4356))/((2*sqrt(192) - sqrt(192))*-6)*5. -165*sqrt(3)/8 Simplify (sqrt(132)/sqrt(486) - sqrt(22))/(sqrt(72) + -4*sqrt(72) + sqrt(72)). 2*sqrt(11)/27 Simplify (-1*sqrt(448) + sqrt(448) - (-2 + sqrt(7) - sqrt(7))*3 - (sqrt(56)/sqrt(18) + sqrt(28))/(-6*sqrt(4)*-1))**2. -8*sqrt(7)/3 + 2944/81 Simplify -5 + 1*(sqrt(19) + 2 + sqrt(19))*-4 + (2*(sqrt(209) + sqrt(209) + (sqrt(209) - (2*sqrt(209) + sqrt(209)))))/sqrt(11) + 4. -8*sqrt(19) - 9 Simplify (sqrt(336)/sqrt(3))**2*6 - ((sqrt(14)/sqrt(2))**2 + 5)*3. 636 Simplify ((3 + -4 + sqrt(13))**2 - (sqrt(1300) + (-5*sqrt(1300))**2))*-3. 36*sqrt(13) + 97458 Simplify -2*(-2 + -3 + sqrt(700)*2)*5. -200*sqrt(7) + 50 Simplify (3*sqrt(1200)*-3 + sqrt(1200) + sqrt(1200))/(sqrt(100) + (sqrt(100) - (sqrt(100)*1 - sqrt(100))) + sqrt(4) - sqrt(196)*-1). -35*sqrt(3)/9 Simplify 4 + -5*((sqrt(384) - sqrt(384)*3 - sqrt(384))/sqrt(12) - (-3 + -3*sqrt(32))). -11 Simplify -1*(sqrt(300)*1 - sqrt(300))/(1*sqrt(726)). 0 Simplify (0 + (sqrt(130) + (-2*4*sqrt(130) - sqrt(130)))/sqrt(10))**2 + 5. 837 Simplify (5 + -3*(sqrt(171) + (-3*(sqrt(171) + 0))**2 - (1 + sqrt(171)*1)**2))*3. -12288 + 27*sqrt(19) Simplify ((-1*sqrt(121) + sqrt(121) - sqrt(121))*3 + (sqrt(121) - -2*sqrt(121)*1))/(sqrt(11) + sqrt(704) + sqrt(11) - -1*sqrt(99)). 0 Simplify sqrt(40)/(sqrt(56)/(sqrt(448) - sqrt(7))) - (sqrt(60)*-2*5)/sqrt(12). 17*sqrt(5) Simplify (sqrt(847) - (sqrt(847)*2 + -4)) + -3 + (-1 + (sqrt(847) - (sqrt(847) + (-2*sqrt(847))**2)) - 5*(-1 + sqrt(847))**2). -7628 + 99*sqrt(7) Simplify 2 + sqrt(68) + 3 + (((sqrt(68) + -1*sqrt(68))*-3 - sqrt(68))/sqrt(4))**2. 2*sqrt(17) + 22 Simplify (5*(3*(sqrt(242) - sqrt(242)*5) + (sqrt(242) + (sqrt(242) + 4)*3 - sqrt(242))))**2. -59400*sqrt(2) + 493650 Simplify 1*((sqrt(704) + (-1 + sqrt(704))**2)*2 - (((sqrt(275) + 1 + 1 + sqrt(275))**2 - sqrt(275) - sqrt(275)) + sqrt(275) - sqrt(275))). -46*sqrt(11) + 306 Simplify 3*(sqrt(33) - -2*sqrt(3993))/sqrt(3)*-1 + 0. -69*sqrt(11) Simplify -1*(sqrt(20) + 0 + sqrt(20) + 0 + sqrt(20))**2 + (sqrt(40)/sqrt(32) + 0)**2*5. -695/4 Simplify ((sqrt(2057) - (sqrt(2057) - (1 + sqrt(2057)))) + -4 + (sqrt(2057) - ((sqrt(2057) - -1*sqrt(2057)) + 2)))**2*-3*5. -375 Simplify (5*(sqrt(567) - -4*(2 + sqrt(567))) + -5*(4 + sqrt(567)*1 + sqrt(567)))**2. 5400*sqrt(7) + 127975 Simplify 4*(-1 + (3*(sqrt(68)*3 + sqrt(68) - sqrt(68)))**2) + -5. 22023 Simplify (sqrt(48)/sqrt(96) - sqrt(18)/((sqrt(63) - sqrt(63)*1)/sqrt(7) - sqrt(9)))*3. 9*sqrt(2)/2 Simplify ((6*(sqrt(357)*3 - sqrt(357)))/sqrt(7))/((sqrt(3)*-2*4 + sqrt(3))*6). -2*sqrt(17)/7 Simplify (((sqrt(147)*1 - sqrt(147) - (sqrt(3) + -3)*-2) + -4)*-2)**2. -160*sqrt(3) + 448 Simplify sqrt(612)*-2 + sqrt(612) - (sqrt(425) + 0) - (sqrt(136) - (sqrt(136) + 6*sqrt(136)*2))/sqrt(8). sqrt(17) Simplify ((1*sqrt(72))/(sqrt(72)/(sqrt(24)/sqrt(3))))**2*-5. -40 Simplify (-1 + 1*(sqrt(2) + sqrt(24)/(sqrt(12) + sqrt(300)))**2)*5. 155/18 Simplify (((sqrt(1377) - 2*sqrt(1377))*-3 - ((sqrt(1377) - sqrt(1377)*-2) + -3))*-2)**2. 36 Simplify -1*((2*sqrt(567)*-1)**2 + (2*sqrt(567))**2 + 0 + 3). -4539 Simplify (-1 + sqrt(288) + sqrt(2) + 0 + -5 + sqrt(2) - sqrt(72)*-1*1)**2. -240*sqrt(2) + 836 Simplify (((sqrt(220) - (2*sqrt(220) + sqrt(220) + sqrt(220))*1) + sqrt(220))/((-3*sqrt(66)*-1)/sqrt(6)))**2. 80/9 Simplify -5 + (-2 + sqrt(208) - sqrt(208)) - ((sqrt(117)*-2 + sqrt(117))/sqrt(9) - sqrt(117)*-5). -14*sqrt(13) - 7 Simplify -1 + -2*(-2 + -4*(sqrt(11)*-1 + sqrt(11)) + -5)**2. -99 Simplify ((5 + 0 + sqrt(1377) + 1)*-1*6)**2. 3888*sqrt(17) + 50868 Simplify (sqrt(110)*-2*-4*5)/(((-1*sqrt(110))/sqrt(11) - sqrt(10)) + (sqrt(120)/sqrt(192) - sqrt(10))). -160*sqrt(11)/11 Simplify 1 + (1 + sqrt(13))*1 + ((sqrt(13) + 2)*3)**2 + (-3 + 2*5*sqrt(13))**2. -23*sqrt(13) + 1464 Simplify (-2*(sqrt(272) + -3 - (2 + sqrt(833))))**2 + 4. 120*sqrt(17) + 716 Simplify -2*((sqrt(176) + (sqrt(176) - (sqrt(176) + -2 + sqrt(176) + sqrt(176) - sqrt(176))))**2 + sqrt(891) + sqrt(891)*-3 + sqrt(11)). -8 + 34*sqrt(11) Simplify (5*-2*sqrt(78)*-3)/(sqrt(384) + (sqrt(384) - (sqrt(384) - 1*sqrt(384)))*-4 + sqrt(384)). -15*sqrt(13)/8 Simplify (1*sqrt(100))/(sqrt(18)/sqrt(324)) + 2. 2 + 30*sqrt(2) Simplify (sqrt(288) + -1 + -5)**2 - (5 + 2*sqrt(2)*-2 + sqrt(2)). -141*sqrt(2) + 319 Simplify (sqrt(132)*4 - (sqrt(3300) - sqrt(3300)*-1 - sqrt(33)))/((sqrt(15) + sqrt(90)/sqrt(6))/sqrt(5)*-1). 11*sqrt(11)/2 Simplify (sqrt(475) + sqrt(475)*3 + sqrt(475) + 5)**2 - sqrt(95)/((sqrt(5) - (sqrt(125) + sqrt(125)*-5)) + sqrt(5)). 5499*sqrt(19)/22 + 11900 Simplify (sqrt(91)*2*-3 - (-2*sqrt(91) + sqrt(91))*4)/(sqrt(140)/sqrt(5)*-5). sqrt(13)/5 Simplify ((sqrt(1216)*-2 + sqrt(1216))*2 - (sqrt(684) + sqrt(684) + (sqrt(684) - (sqrt(684) + -3*sqrt(684))) + -3 - sqrt(684)))**2. -240*sqrt(19) + 30409 Simplify (-5 + (sqrt(11) - sqrt(55)/sqrt(5)) + -1 + ((sqrt(165)*-2)/sqrt(3))/sqrt(5))**2 + -3. 77 + 24*sqrt(11) Simplify -4 + (sqrt(112)/sqrt(2))/sqrt(2) + 3 + 2. 1 + 2*sqrt(7) Simplify 3*-1*(((sqrt(98) + -3 + sqrt(98))*-4 - sqrt(98)) + ((sqrt(98) + 0)*-3)**2). -2682 + 189*sqrt(2) Simplify (sqrt(55)/(sqrt(44)/sqrt(4))*-2 + sqrt(245) + -1 + sqrt(15)/sqrt(3)*4)**2 + -5. -18*sqrt(5) + 401 Simplify ((4 + 6*(-1*2*sqrt(325) - (0 + (sqrt(325) - (sqrt(325) + -2*sqrt(325))))))*3)**2. -8640*sqrt(13) + 1684944 Simplify (sqrt(114)*-2*-6)/(sqrt(486) + (sqrt(486) - (-5*sqrt(486) - sqrt(486) - sqrt(486))) - sqrt(6)). 3*sqrt(19)/20 Simplify -5*((6*sqrt(57)/sqrt(3))**2 - ((-1 + sqrt(19))*4 - sqrt(19))). -3440 + 15*sqrt(19) Simplify -3*sqrt(7)*2*-3 - ((sqrt(7) - sqrt(112))*-2 + -2). 2 + 12*sqrt(7) Simplify (sqrt(90)/(sqrt(40)/sqrt(392)))/(sqrt(900)*-1). -7*sqrt(2)/10 Simplify (0 + sqrt(5) + -1 + -4 + -1 + sqrt(245) + (sqrt(5) - sqrt(60)/sqrt(3)))*6*1. -36 + 42*sqrt(5) Simplify (sqrt(49) + (sqrt(441)/sqrt(9) - sqrt(49))*6 - sqrt(49))/sqrt(2268)*-4. 0 Simplify ((sqrt(270)/(sqrt(72)/(sqrt(24)/sqrt(3))))/(sqrt(6) + (sqrt(150) - (sqrt(150) + sqrt(150)*-2)) - ((sqrt(72) - -2*sqrt(72)) + sqrt(72))/sqrt(12)))**2. 5/49 Simplify (6*(-1*(1 + sqrt(450)) + 2)*1)**2. -1080*sqrt(2) + 16236 Simplify (-5*(sqrt(11) + 2 + 5 + -1 + 1))**2*2. 700*sqrt(11) + 3000 Simplify (-2*-2*sqrt(125) + sqrt(125) + (sqrt(125) - (sqrt(125) - (sqrt(125) - (sqrt(125) + 2 + sqrt(125))))*-6))**2. 2160*sqrt(5) + 40644 Simplify -3 + ((1*sqrt(416) - sqrt(26)) + sqrt(26) - (sqrt(2600) - -1*sqrt(2600)))/(-1*(sqrt(242)*-2 + sqrt(242) - sqrt(242))). -3 - 8*sqrt(13)/11 Simplify (sqrt(76) + -4*(2*sqrt(76) - sqrt(76)) + 4 - (-3 + (sqrt(19) - (sqrt(19) - sqrt(171))) - 2*sqrt(19)*1)
{ "pile_set_name": "DM Mathematics" }
plify ((sqrt(162) + 4*(sqrt(162)*2 + sqrt(162)))/(sqrt(54)/(2*sqrt(6))))/(-6*(-2*sqrt(54) - sqrt(6) - 6*(sqrt(6) + sqrt(24)/sqrt(4)))). 13*sqrt(3)/57 Simplify (-2*(-3*(-2*sqrt(170) + sqrt(170) + sqrt(170)) + sqrt(170)*1*-1))/(3*(sqrt(640) + -2*sqrt(640))*-3). sqrt(17)/36 Simplify (sqrt(1300)*-1 + 4 - (0 + sqrt(1300)*2 + sqrt(1300) + sqrt(1300))**2) + -3 + (-2*-5*(sqrt(1300) + -1 + sqrt(1300))*-3)**2. -36010*sqrt(13) + 4660101 Simplify (5*((3*(sqrt(35) - sqrt(35)*-2) - sqrt(35)) + -2*sqrt(315)))/(-5*(sqrt(112) - sqrt(112)*-3)*-2). sqrt(5)/16 Simplify (6*sqrt(76)/sqrt(2))/((-1*sqrt(12))/sqrt(6)) - ((sqrt(57) + sqrt(399)/sqrt(7) - sqrt(57))/sqrt(3) - (sqrt(19) + sqrt(19) + 4*sqrt(19)*-1)). -9*sqrt(19) Simplify (1*(-1 + -5 + sqrt(272)) - (5 + sqrt(272) + -2)*-2)**2*1. 2448 Simplify (-4 + -4*(5*-2*sqrt(280))/(4*sqrt(60)/sqrt(6) - sqrt(10)))**2. -640*sqrt(7)/3 + 44944/9 Simplify (-5*5*(-1 + sqrt(208)*2))**2 - (-1 + (0 + sqrt(1573))**2 - (0 + (sqrt(1573) - (sqrt(1573) + 1 + sqrt(1573))))). -10011*sqrt(13) + 519052 Simplify -1 + (-1*sqrt(2880))/(sqrt(100)/sqrt(10)*-3) + 2. 1 + 4*sqrt(2) Simplify sqrt(1377) + -6*(sqrt(1377) + 2) + -5 + 5 + -3 + 4*((-2 + sqrt(1377))*-6 - sqrt(1377)). -297*sqrt(17) + 33 Simplify 1 + 3*((sqrt(99)*-1)**2 + -1) + -4*(sqrt(99) + (sqrt(99)*-1)**2 + sqrt(99) + 5) + -3. -124 - 24*sqrt(11) Simplify (sqrt(1008) - (sqrt(1008) + 2))*-1*-4 + 4 + (sqrt(126)/sqrt(3))/sqrt(6) + (sqrt(126)/(sqrt(6)*2 - sqrt(6)))/sqrt(3). -4 + 2*sqrt(7) Simplify ((0 + ((sqrt(119)*2)/sqrt(7) + -1 - 5*-6*(sqrt(17) - sqrt(833))) + -1)*-3)**2. 6408*sqrt(17) + 4847688 Simplify 3*((sqrt(1872) - (sqrt(1872) + (sqrt(1872) - (sqrt(1872) + 0)) + sqrt(1872))*6)**2 - (sqrt(637) - (sqrt(637) - ((-5*sqrt(637) - sqrt(637)) + 1)))). 126*sqrt(13) + 679533 Simplify ((sqrt(33)*-2)/sqrt(3)*5 + (sqrt(99) - (sqrt(99) - (-3*(sqrt(99) + -1) + sqrt(99)) - sqrt(99))) - -2*(-2*sqrt(176)*-2 - (2 + sqrt(176)*-1)))**2. -54*sqrt(11) + 8020 Simplify 5 + 4*((1*4*(sqrt(363) + -1))**2 + -1) + 2 + 1. -1408*sqrt(3) + 23300 Simplify 4*(-4 + (-2*sqrt(275)*-3 + -2)**2 + -4) + 4. -480*sqrt(11) + 39588 Simplify -3 + (3*(sqrt(245)*1*-2 + sqrt(245) - ((sqrt(245)*-2 - sqrt(245))*6 + sqrt(245) + sqrt(245))) + -5)**2. -3150*sqrt(5) + 496147 Simplify (3 + -1 + sqrt(500) + (sqrt(105)/sqrt(3) - sqrt(35))/sqrt(7))**2 + ((sqrt(540) - sqrt(540)*1)/sqrt(12))/(sqrt(81)*-2). 40*sqrt(5) + 504 Simplify (sqrt(128) + -3 + 3 + 5 - (-1 + (sqrt(162) - (sqrt(162)*4 + sqrt(162)))*-6))**2. -2496*sqrt(2) + 86564 Simplify (((sqrt(1008) - (0 + sqrt(1008) + 3)) + (sqrt(1008) + -1)*2)**2 + sqrt(1008)*-2*-5*-4)*-4. -16228 + 2880*sqrt(7) Simplify ((4 + -4 + 0 + 1*(sqrt(171) + sqrt(171) + -1)*1)*-6)**2. -432*sqrt(19) + 24660 Simplify sqrt(18)/(sqrt(9) + sqrt(9) + (sqrt(9) - sqrt(9)*4))*-2 + (0 + -3*(sqrt(2) + 2))**2 + -1. 53 + 38*sqrt(2) Simplify ((1*(0 + sqrt(76)) - (-2 + sqrt(76)*1 - sqrt(76)))*-5 + 3 + sqrt(76)*-3 + (sqrt(76) - (sqrt(76) + 4 + sqrt(76))) + sqrt(76) + -2)**2. 416*sqrt(19) + 5033 Simplify ((sqrt(66) + sqrt(66)*1)*2 + (sqrt(66) + sqrt(66) + sqrt(66) + sqrt(66)*2)*4)/((sqrt(144) + -2*sqrt(144)*-6)/sqrt(6)). 12*sqrt(11)/13 Simplify (((sqrt(112) - -5*(sqrt(112) - (sqrt(112) + 1 + sqrt(112)))) + -5)*3 + 4*((-3*(-1 + sqrt(112)) - sqrt(112) - sqrt(112)) + sqrt(112)) + -5)**2*1. 5152*sqrt(7) + 88337 Simplify ((-1*sqrt(132))/sqrt(6))/(sqrt(11) + (sqrt(165)/sqrt(3))/sqrt(5) + sqrt(11)) + ((sqrt(200) + sqrt(200) + 1)**2 + -1 - 4*-1*sqrt(200)) + -3. 239*sqrt(2)/3 + 797 Simplify -1 + (2*(2 + 3*(sqrt(500) + (-1*sqrt(500))**2 + sqrt(500))) - (5 + (sqrt(500) - 1*sqrt(500)) - 1*sqrt(500)*2)). 140*sqrt(5) + 2998 Simplify -5*((-4*(4 + (1 + 4*sqrt(2299) + sqrt(2299))*1) + 4)**2 + 3). -4599295 - 35200*sqrt(19) Simplify -3 + (-2 + ((4*(sqrt(88)*-1 + sqrt(88)) - sqrt(88))/(sqrt(8) + 5*sqrt(16)/sqrt(2)) + 4)*1)**2. -2*sqrt(11)/3 + 47/36 Simplify 1*(sqrt(45) + -5 - (sqrt(405)*1 - sqrt(405))) + (sqrt(60)/sqrt(3)*-4)/((sqrt(144) - (sqrt(144)*-1 + sqrt(144))) + sqrt(4)). -5 + 17*sqrt(5)/7 Simplify (1*-2*(1*sqrt(1694) + (sqrt(14) - (sqrt(14) - sqrt(126)/(sqrt(27)/sqrt(3)))))/(-4*-5*sqrt(112)))**2. 9/50 Simplify 2 + ((-3 + sqrt(125))**2*6 - -2*sqrt(125)*-5) + 5 + 3. -230*sqrt(5) + 814 Simplify (((sqrt(144) + 1*sqrt(144))*2)/(sqrt(36)*-6))/((3*sqrt(56) + sqrt(56))/sqrt(7) + (-3*sqrt(512) - sqrt(512))). sqrt(2)/84 Simplify ((3*4*-2*sqrt(66)*-5)/(-3*sqrt(150)*-1 - -6*sqrt(150)*1))**2 + 5. 749/9 Simplify (-4 + (sqrt(81)/sqrt(3))**2 + 3 + (sqrt(15)/(sqrt(5) + sqrt(45)))**2 + (sqrt(27) + -1 - sqrt(27)))*1 + -5. 323/16 Simplify ((1*(1*sqrt(1700) + 4) - -6*-1*(2 + sqrt(1700) - sqrt(1700)))**2 + 1)*-2. -3530 + 320*sqrt(17) Simplify ((2*2*(sqrt(189) + (sqrt(189)*-2 - sqrt(189))))/((-2*(2*sqrt(70) + sqrt(70)))/(sqrt(10) - sqrt(40)/sqrt(4)*-3)))**2. 768 Simplify (1*-1*sqrt(125) + (sqrt(125) - 6*(sqrt(125) - (0 + sqrt(125)))) - (-4 + sqrt(125)*2*6*6))**2. -2880*sqrt(5) + 648016 Simplify ((2*sqrt(119)*-2 - sqrt(119) - sqrt(119))*-3*-4)/((sqrt(49) + sqrt(343)/(sqrt(14)/sqrt(2)))/(-1*sqrt(21)/sqrt(3))). 36*sqrt(17) Simplify (2 + -1*((sqrt(405)*-1)**2*2 + -1*sqrt(20) + -5))*6. -4818 + 12*sqrt(5) Simplify (sqrt(304) + (sqrt(304) - (-4 + sqrt(304)*2)**2) - (5 + sqrt(304))*-2) + -2*(-2 + 1 + 2*sqrt(304))**2. -3656 + 112*sqrt(19) Simplify (((sqrt(65)*-2*6 - sqrt(65) - sqrt(65))*4)/(sqrt(25)/sqrt(80) + 1*sqrt(125) + sqrt(5))*4)**2. 10436608/625 Simplify ((5*(sqrt(462)*1 + sqrt(462)))/(-2*sqrt(1100) + sqrt(1100)))/((sqrt(384) - (sqrt(384) - (sqrt(384) - sqrt(384)*1 - sqrt(384))*-5)) + -2*sqrt(384)*-2). -sqrt(7)/72 Simplify ((sqrt(847)*-1 - sqrt(847)) + 0 + -1 + 0 + sqrt(847) + sqrt(847) - -5*(2 + 4*sqrt(847)))**2. 3960*sqrt(7) + 338881 Simplify 5*6*sqrt(76)*2*-3 + (sqrt(133) - (2*sqrt(133)*2 + sqrt(133)))/(sqrt(84)/sqrt(48)). -368*sqrt(19) Simplify 1*((-3*sqrt(117)*2)/((-1*sqrt(99))/sqrt(11)) - (sqrt(208) + -3 + (sqrt(208) - sqrt(208)*-1) + sqrt(208) + (sqrt(208) - (5 + -1*sqrt(208))))**2). -7552 + 390*sqrt(13) Simplify -4 + (1 + ((sqrt(720) + 0 + 1 - sqrt(720))*-3 - (sqrt(720) + 0 + 3 + 0 + sqrt(720) + -3)))**2. 96*sqrt(5) + 2880 Simplify 3*(-4 + (sqrt(768)/sqrt(2) + (sqrt(264)*-1)/sqrt(11))/(-2*sqrt(72)*-4))**2. -3*sqrt(3) + 3081/64 Simplify -4*-6*((-3*(-1*sqrt(405) + sqrt(405) + sqrt(405))*6 - 2*sqrt(405)*1*4) + -5)**2. 56160*sqrt(5) + 6571320 Simplify ((sqrt(35) + (sqrt(3500)*-3 - sqrt(3500) - sqrt(3500)) + sqrt(35))*-1)/((sqrt(125) - (sqrt(125) + (sqrt(125) + -3*sqrt(125) - sqrt(125))))*1)*5. 16*sqrt(7) Simplify ((sqrt(882) + sqrt(882)*-2 - (sqrt(18) - (sqrt(900) - sqrt(36))/sqrt(2)))*1)/((sqrt(96)/sqrt(2)*1 + sqrt(48))/(sqrt(392) - -2*sqrt(392) - sqrt(392))). -28*sqrt(3) Simplify (((-1*sqrt(156) - sqrt(156) - sqrt(156)) + sqrt(156))*5 - 1*(sqrt(156) - sqrt(156)*3))/((-1*sqrt(144)*-5)/(sqrt(768)/sqrt(4) - sqrt(12))). -24*sqrt(13)/5 Simplify (sqrt(49)/sqrt(63) - (5 + sqrt(28))**2) + -1*sqrt(63)*-5 + 5 + 4. -44 - 14*sqrt(7)/3 Simplify -1 + sqrt(931) + 2 - (sqrt(931) - 5*(1 + sqrt(931) + sqrt(931))**2) - ((-4*sqrt(114))/sqrt(6) + (sqrt(19) - (-2*sqrt(19) + 0))). 141*sqrt(19) + 18626 Simplify 6*(3 + (sqrt(833)*-2*-2 - sqrt(833) - sqrt(833)*-1*-1)**2). 20010 Simplify -4 + ((-2*sqrt(2057) + -2)*6 + -3 + 4)*-5*-4. -2640*sqrt(17) - 224 Simplify sqrt(19) + (sqrt(228)/sqrt(4))/sqrt(3) + -1 + 3 + (-2 + sqrt(304) - (sqrt(38)/sqrt(2) + 5)). -5 + 5*sqrt(19) Simplify (3*2*(sqrt(130) + -4*-1*sqrt(130)))/(-4*(sqrt(360) - sqrt(10)) + sqrt(10) + (sqrt(70)/(sqrt(28)/sqrt(4)) - sqrt(10)) + sqrt(10)). -5*sqrt(13)/3 Simplify ((1*sqrt(120) - sqrt(120)) + sqrt(30))/(sqrt(6)*1*-4) - sqrt(45)/(sqrt(9) + 6*2*sqrt(9))*2. -21*sqrt(5)/52 Simplify -5 + (((sqrt(180) + -6*((sqrt(180) - (sqrt(180) + (1*sqrt(180) - sqrt(180)) + sqrt(180))) + sqrt(180)))/sqrt(9))/(1*5*sqrt(20)/sqrt(5)))**2. -24/5 Simplify ((-6*(((sqrt(320) - 2*sqrt(320)) + sqrt(320) - sqrt(320)) + 5 - sqrt(320) - sqrt(320)) + -1*(sqrt(320) + sqrt(320) + -1 + -4))**2 + -1)*5*6. -192000*sqrt(5) + 2476320 Simplify (2*sqrt(4200) + sqrt(3402)*4)/((6*sqrt(486))/(sqrt(729)*-1)). -28*sqrt(7) Simplify ((-4 + -1 + sqrt(11) + sqrt(11) + sqrt(11))*6)**2*3 - ((1 + sqrt(275) - sqrt(275))*-3 + 4). -3240*sqrt(11) + 13391 Simplify 2*6*((2*-3*sqrt(34))/(sqrt(24)/(sqrt(12) + sqrt(432))))**2*2. 719712 Simplify -4*(6*(0 + sqrt(252)*-2 + -5 +
{ "pile_set_name": "DM Mathematics" }
34 = 6*p - v. What are the prime factors of p? 2, 3, 13 Suppose -20*a + 206 = 46. Let g(o) = -1. Let m(d) = -3*d + 16. Let k(f) = -44*g(f) - 4*m(f). What are the prime factors of k(a)? 2, 19 Suppose 4*t + 10762 = q, -3*q + q + 21527 = -9*t. What are the prime factors of q? 2, 5, 43 Let d = 383 + -358. Suppose d*n - 16*n = 5013. What are the prime factors of n? 557 Let a = 452 - 448. Suppose 5*k + 190 - 4181 = u, a*u + 1582 = 2*k. What are the prime factors of k? 17, 47 Suppose 4*y - 10516 + 932 = 4*z, 0 = 5*y + 2*z - 11952. What are the prime factors of y? 2, 13, 23 Suppose 29*d = -86*d + 4*d + 618048. What are the prime factors of d? 2, 3, 29 Suppose 4499*f = 4502*f - 144306. What are the prime factors of f? 2, 3, 8017 Let l be (-2 + (-4)/2 - -5) + 1. Let i(g) = 117*g**2 + g - 8. What are the prime factors of i(l)? 2, 3, 7, 11 Suppose 0 = -3*z - 3*m + 13836, -7*z + 4*z + 2*m = -13846. Suppose 7698 = 5*o + 4*v, v + 3*v - z = -3*o. What are the prime factors of o? 2, 3, 257 Suppose 4*q = -4*c + 168, 2*q - 3*c = c + 84. Suppose -y = q - 209. List the prime factors of y. 167 Let i be 9 - 10/15*9/3. Suppose -11*m + 16 = -i*m. Suppose -2*k = -m*a + 242, -3*a + 5*k = -61 - 110. List the prime factors of a. 2, 31 Suppose 0 = 4*o + 2*r - 12234, o - 2*o - 4*r + 3048 = 0. Suppose -7 = -j - 2, j - o = -5*i. List the prime factors of i. 13, 47 Let r = 281 + 705. Suppose -7*a + 247 = -6*a - q, 4*a - r = 5*q. What are the prime factors of a? 3, 83 Let r = -71 + 129. Let n = r + 7. List the prime factors of n*((-2)/(-20))/((-2)/(-32)). 2, 13 Let q(f) = 11*f**2 - 106*f + 1. Let p be q(21). Suppose 0 = -3*z + 6, 5*z = -3*u - 0*u + p. What are the prime factors of u? 2, 109 Let g(q) = -10*q + 971. What are the prime factors of g(-18)? 1151 Let p be -2 + ((-47)/(-2) - 6/12). Let b = p + -19. Suppose -b*v = -d + 15, -v + 3*v = 3*d - 25. What are the prime factors of d? 5 Let y(c) = -6*c + 2*c**2 + c + 14 - 15 + 61 + 0*c. List the prime factors of y(-19). 877 Let m be 0/2*2/2. Let o(q) = -6*q + 43 - q**2 - 7*q + 3*q + 3*q + 6*q. What are the prime factors of o(m)? 43 Let v be 4/(-46) + 88102/2254. Suppose v*l + 5*l = 19756. What are the prime factors of l? 449 Let h = 534 + 64. Let y = -211 + h. List the prime factors of y. 3, 43 Let k(q) be the second derivative of 2*q**3 - 55*q**2/2 + 3*q + 1. Let d be k(5). Suppose -4*x = r - 2*x - 135, -711 = -d*r + 2*x. List the prime factors of r. 3, 47 Let g(f) = 95*f + 13. Let v be g(7). Let k = -331 + v. List the prime factors of k. 347 Suppose -5*u + 28 = -5*m - 277, 2*u + m - 110 = 0. Suppose -u*p - 8764 = -64*p. What are the prime factors of p? 2, 313 Suppose 364086 = 11*u - 83790. List the prime factors of u. 2, 3, 13, 29 Let g be (-464 - 5)/((-1)/1) + -3. What are the prime factors of (-12 + 11)/((-2)/g)? 233 Suppose 3685 = -4*h + c + 1051, -3*c = h + 652. Let n = h + 1215. What are the prime factors of n? 557 Let i(b) = 3*b**2 + 8*b + 36. Let h be i(-26). Suppose 0 = 11*n - 7*n - h. What are the prime factors of n? 2, 29 Suppose q - 1601 - 3695 = 0. List the prime factors of q. 2, 331 Let z(d) = 1597*d**2 - 4*d + 3. Let a be z(1). Suppose -23*w = -26*w + a. Suppose 95 = s - 5*x, 4*s + 136 - w = 4*x. List the prime factors of s. 2, 5 Let q = -20272 + 98294. List the prime factors of q. 2, 7, 5573 Suppose 0 = -3*l - 27, l - 261770 = -5*b - 34849. What are the prime factors of b? 2, 11, 2063 Let m(f) = -3*f**2 + 4*f - 13. Let s(k) = k**2 + k + 2. Let t(u) = m(u) + 4*s(u). List the prime factors of t(12). 5, 47 Suppose -3*d = 2*n - 98421, -2*n = 369*d - 364*d - 164027. List the prime factors of d. 32803 Let w(r) = 11*r**3 + 3*r**2 - 4*r. Let n be w(1). Suppose -n*d + 11703 - 423 = 0. List the prime factors of d. 2, 3, 47 Suppose 19*i + 9937563 = 198*i + 2583527. List the prime factors of i. 2, 10271 Let y(p) = -7*p**2 - p. Let i be y(-1). Let d(h) = -h**3 - 6*h**2 - 12. Let f be d(i). What are the prime factors of f/8*-30*(-3)/(-9)? 3, 5 Suppose 0 = -5*m - 1754 + 14094. List the prime factors of m. 2, 617 Let f(a) be the first derivative of 52*a**2 + 42*a - 26. Let m be f(10). Suppose 87 = -5*q + m. What are the prime factors of q? 199 Let c be (-1 - -7)/((-1)/(-49)). Suppose 10*y = -q + 13*y - 6, -5*q + 3*y = -18. Suppose q*k = 3*k + c. List the prime factors of k. 2, 7 Let s be 7/((-14)/(-8)) + 895. Suppose -s = -0*c - c. Suppose c = 5*m - 3*a, 4*m - 159 = 2*a + 561. List the prime factors of m. 181 Let s be (-14694)/(-9) - 4/6. Let n = 3224 - s. List the prime factors of n. 2, 199 Let k be 10*(44/(-24) + (-2)/12). Let z(y) = y**2 + 14*y + 65. List the prime factors of z(k). 5, 37 Suppose -5*i - 19 = -2*b - 2*b, -i + 7 = b. Let l be (9/(-2))/((-3)/b). Suppose 3 = -l*o + 912. List the prime factors of o. 101 Suppose -2*p + 3*t + 97496 = 0, -23*t + 24*t = -5*p + 243706. What are the prime factors of p? 2, 24371 Let i(c) = 18*c + 88. Let r be i(-5). Let v = -4 + 5. List the prime factors of 0 + r - (-1 + (v - 26)). 2, 3 Let n(l) = 2*l**2 + 15*l + 21. Let r be n(-6). Suppose 228 = t + r*t. What are the prime factors of t? 3, 19 Let x(p) be the second derivative of 7*p**5/20 + p**4/4 - 7*p**2/2 - p + 1. List the prime factors of x(3). 11, 19 Let f(o) = 11*o**2 - 66*o + 378. List the prime factors of f(-45). 3, 13, 73 Suppose 104 - 14 = -3*i. Let q = 51 + -102. List the prime factors of (q/9 + 2)*i. 2, 5, 11 Let b(q) = 734*q - 228. List the prime factors of b(8). 2, 17, 83 Let h = 21112 - 12947. Suppose h = 19*w - 11329. List the prime factors of w. 2, 3, 19 Let b(c) = -c**2 - 90*c - 135. What are the prime factors of b(-56)? 29, 61 Let h(j) = j**3 - 3*j**2 + j + 2. Let v be h(2). Let x(p) = -p + 40. Let b be x(v). List the prime factors of ((-198)/48*2)/((-2)/b). 3, 5, 11 Suppose 591*y = 102*y + 8268863 + 18371857. What are the prime factors of y? 2, 3, 5, 227 Let n(d) = -4*d**2 - 2*d + 14. Let o(j) = -j**2 + 2. Let k(g) = n(g) - 6*o(g). Suppose y = -3*w + 21, -2*w - 3*w + 52 = -4*y. List the prime factors of k(w). 2, 3, 19 Let d be (-5*3/(-15) + -1)/2. Suppose y - 712 - 872 = d. List the prime factors of y. 2, 3, 11 Suppose -3*l + 10 = 4. Suppose l - 2 = -5*m. Suppose -c + 4*p + 0*p + 111 = m, 5*p = -4*c + 528. What are the prime factors of c? 127 Let w = -565 - -1119. List the prime factors of (w - (-5 - -3)) + -3. 7, 79 Let a = -9927 + 16771. What are the prime factors of a? 2, 29, 59 Suppose -97314 = 88*h - 109*h. List the prime factors of h. 2, 7, 331 Suppose 8 = 2*b + 2. Let a(c) = 29*c**2 - c + 4*c**b + 10*c - 22 - 3*c**3 - 17*c**2. List the prime factors of a(-10). 2, 11 Let q(a) = 7*a + 23. Let d be q(-3). Suppose -5*w = 4*f - 2*w - 1326, 2*f + d*w = 662. List the prime factors of f. 3, 37 What are the prime factors of 24/(-36) - (-490088)/12? 2, 5, 1021 Let j be -118 + (-2)/(-6)*-3. Let i = -93 - j. Suppose -2*t + 2*w = -298, -i = -5*t + 4*w + 721. What are the prime factors of t? 151 Let t = -361 - -734. Let g = -228 + t. List the prime factors of g. 5, 29 Let t(k) = -16*k**2 - 7*k + 4858. List the prime factors of t(0). 2, 7, 347 Suppose -123 = 5*z - 153, -q - 2*z = -16588. What are the prime factors of q? 2, 7, 37 Suppose 2*k + 0*k - 440 = 0. Let q(f) = f**3 - 8*f**2 + 54. Let p be q(7). Suppose -k = -p*o + o. What are the prime factors of o? 5, 11 Let t = -39 - -42. Suppose -2*j + 576 = t*v, 4*j - 306 - 652 = -5*v. Suppose -3*b = -l + v, 0 = -4*b + 1 - 17. What are the prime factors of l? 2, 7, 13 What are the prime factors of (-15 + 2 + 26)/((-1)/(-5178)*2)? 3, 13, 863 Let n = 94 - 99. Let k be 10/(-25) - 12/n. Suppose -3*p = -k*p - 188. List the prime factors of p. 2, 47 Let b = -2471 + 7593. List the prime factors of b. 2, 13, 197 Let b(x) = x**3 + 19*x**2 + 9*x - 45. Let d be b(-17). Suppose -z - 4*j = -d, -2*z + 4*j = 6*j - 778. What are the prime factors of z? 2, 7 Let i = 32 + -24. Let b(v) = v - 5. Let g be b(i). Suppose -m = -g*m - 2*d + 58, 4*d + 52 = 3*m. What are the prime factors of m? 2, 3 Suppose -52 = r + 21. Let p = 58 - 98. Let o = p - r. What are the prime factors of o? 3, 11 Let q(b) be the third derivative of 0*b + 1/30*b**5 + 1/4*b**4 + 0 - 7/3*b**3 - 7*b**2. What are the prime factors of q(-10)? 2, 3, 7 Let b(n) = 16*n**2 - 54*n - 125. Let h(q) = 3 + q**2 - 8*q**2 + 4*q**2 + 11*q +
{ "pile_set_name": "DM Mathematics" }
ors of 835808. 2, 26119 List the prime factors of 4310774. 2, 13, 165799 What are the prime factors of 397722? 2, 3, 13, 5099 List the prime factors of 626710. 2, 5, 7, 1279 What are the prime factors of 30289? 7, 4327 What are the prime factors of 363376? 2, 13, 1747 What are the prime factors of 3440345? 5, 271, 2539 List the prime factors of 1341968. 2, 83873 List the prime factors of 760171. 19, 40009 List the prime factors of 4180416. 2, 3, 21773 What are the prime factors of 707400? 2, 3, 5, 131 What are the prime factors of 4020148? 2, 11, 91367 What are the prime factors of 11373? 3, 17, 223 List the prime factors of 68771. 68771 List the prime factors of 176741. 176741 List the prime factors of 236100. 2, 3, 5, 787 List the prime factors of 1549673. 29, 53437 What are the prime factors of 476403? 3, 379, 419 List the prime factors of 9744546. 2, 3, 7, 232013 List the prime factors of 1437877. 7, 17, 43, 281 What are the prime factors of 10289831? 1381, 7451 List the prime factors of 33386979. 3, 53, 59, 3559 What are the prime factors of 1826641? 19, 127, 757 What are the prime factors of 24106263? 3, 149, 199, 271 List the prime factors of 736675. 5, 79, 373 What are the prime factors of 1552370? 2, 5, 29, 53, 101 What are the prime factors of 1844164? 2, 7, 97 What are the prime factors of 14011112? 2, 337, 5197 List the prime factors of 133448. 2, 7, 2383 List the prime factors of 198260. 2, 5, 23, 431 What are the prime factors of 4450449? 3, 1123, 1321 What are the prime factors of 3810233? 7, 157, 3467 What are the prime factors of 9550948? 2, 11, 131, 1657 What are the prime factors of 313351? 313351 What are the prime factors of 2615037? 3, 871679 List the prime factors of 22973777. 22973777 List the prime factors of 253031. 401, 631 List the prime factors of 14324. 2, 3581 What are the prime factors of 825970? 2, 5, 151, 547 What are the prime factors of 556748? 2, 139187 What are the prime factors of 21757692? 2, 3, 11, 164831 What are the prime factors of 154126? 2, 7, 101, 109 What are the prime factors of 3850507? 3850507 List the prime factors of 67473. 3, 7, 17 List the prime factors of 1645393. 113, 14561 List the prime factors of 211827. 3, 7, 11, 131 What are the prime factors of 9066677? 9066677 List the prime factors of 450073. 13, 89, 389 List the prime factors of 681283. 19, 23, 1559 List the prime factors of 3468798. 2, 3, 64237 List the prime factors of 8821. 8821 List the prime factors of 3572344. 2, 601, 743 What are the prime factors of 11179504? 2, 7, 99817 List the prime factors of 3715844. 2, 11, 79, 1069 What are the prime factors of 1309685? 5, 13, 20149 What are the prime factors of 10911874? 2, 887, 6151 List the prime factors of 3382630. 2, 5, 338263 What are the prime factors of 11636890? 2, 5, 1163689 What are the prime factors of 461105? 5, 92221 What are the prime factors of 29797828? 2, 101, 73757 What are the prime factors of 7110607? 7, 17, 59753 What are the prime factors of 2858015? 5, 571603 List the prime factors of 6457613. 6457613 List the prime factors of 1625407. 7, 89, 2609 What are the prime factors of 9976595? 5, 23, 86753 What are the prime factors of 2019184? 2, 126199 What are the prime factors of 12072780? 2, 3, 5, 79, 283 List the prime factors of 8001498. 2, 3, 1333583 List the prime factors of 2978238. 2, 3, 107, 4639 What are the prime factors of 1065375? 3, 5, 947 What are the prime factors of 6582852? 2, 3, 182857 List the prime factors of 36081287. 11, 53, 199, 311 List the prime factors of 1953618. 2, 3, 19, 17137 List the prime factors of 9464335. 5, 1892867 List the prime factors of 5535888. 2, 3, 115331 List the prime factors of 105748. 2, 26437 List the prime factors of 32327. 32327 List the prime factors of 13229971. 127, 104173 List the prime factors of 5875883. 13, 19, 23789 What are the prime factors of 8725860? 2, 3, 5, 11, 13, 113 List the prime factors of 601615. 5, 7, 17189 List the prime factors of 20673517. 20673517 What are the prime factors of 199048? 2, 139, 179 List the prime factors of 1052104. 2, 347, 379 List the prime factors of 398623. 157, 2539 What are the prime factors of 281308? 2, 70327 What are the prime factors of 95760? 2, 3, 5, 7, 19 What are the prime factors of 168650? 2, 5, 3373 What are the prime factors of 11225482? 2, 5612741 List the prime factors of 6867798. 2, 3, 7, 101, 1619 What are the prime factors of 11348210? 2, 5, 1134821 List the prime factors of 416689. 7, 13, 19, 241 What are the prime factors of 1067415? 3, 5, 71161 List the prime factors of 248860. 2, 5, 23, 541 What are the prime factors of 5536353? 3, 19, 23, 41, 103 List the prime factors of 388907. 23, 37, 457 What are the prime factors of 2116261? 7, 43189 List the prime factors of 1283962. 2, 641981 What are the prime factors of 13452782? 2, 7, 277, 3469 What are the prime factors of 4773111? 3, 7, 37, 6143 List the prime factors of 398436. 2, 3, 33203 List the prime factors of 1195848. 2, 3, 17, 977 List the prime factors of 186396. 2, 3, 7, 317 What are the prime factors of 1585995? 3, 5, 105733 What are the prime factors of 2749984? 2, 19, 4523 List the prime factors of 3301072. 2, 193, 1069 List the prime factors of 458210. 2, 5, 45821 What are the prime factors of 674275? 5, 7, 3853 What are the prime factors of 132214? 2, 66107 List the prime factors of 1731198. 2, 3, 7, 47, 877 What are the prime factors of 174937? 7, 67, 373 What are the prime factors of 15751767? 3, 67, 78367 What are the prime factors of 14308330? 2, 5, 19, 75307 List the prime factors of 4377127. 293, 14939 List the prime factors of 121325. 5, 23, 211 What are the prime factors of 652565? 5, 130513 List the prime factors of 26883. 3, 29, 103 What are the prime factors of 5219306? 2, 17, 153509 List the prime factors of 5926592. 2, 7, 13229 List the prime factors of 799708. 2, 7, 13 What are the prime factors of 253035? 3, 5, 5623 List the prime factors of 3056416. 2, 11, 19, 457 What are the prime factors of 914684? 2, 67, 3413 What are the prime factors of 2282930? 2, 5, 13, 17, 1033 What are the prime factors of 299445? 3, 5, 19963 What are the prime factors of 5822340? 2, 3, 5, 97039 List the prime factors of 1474950. 2, 3, 5, 9833 What are the prime factors of 10377341? 13, 798257 What are the prime factors of 396469? 211, 1879 List the prime factors of 118828. 2, 61, 487 List the prime factors of 13140498. 2, 3, 7, 23, 61, 223 What are the prime factors of 4673875? 5, 139, 269 What are the prime factors of 315037? 315037 List the prime factors of 323279. 11, 29389 List the prime factors of 2646401. 181, 14621 List the prime factors of 121008. 2, 3, 2521 List the prime factors of 243583. 243583 List the prime factors of 372429. 3, 41381 List the prime factors of 421160. 2, 5, 10529 What are the prime factors of 380932? 2, 95233 What are the prime factors of 1257194? 2, 281, 2237 What are the prime factors of 24700492? 2, 6175123 What are the prime factors of 347125? 5, 2777 List the prime factors of 512269. 512269 What are the prime factors of 8123333? 31, 79, 107 List the prime factors of 162595. 5, 31, 1049 What are the prime factors of 1477022? 2, 19, 47, 827 What are the prime factors of 12653956? 2, 7, 23, 401 What are the prime factors of 868969? 71, 12239 What are the prime factors of 6220758? 2, 3, 1036793 List the prime factors of 542108. 2, 7, 19, 1019 What are the prime factors of 4095542? 2, 11, 186161 List the prime factors of 188766. 2, 3, 10487 List the prime factors of 15276731. 83, 184057 List the prime factors of 1452448. 2, 45389 List the prime factors of 11538001. 593, 19457 What are the prime factors of 630603? 3, 70067 What are the prime factors of 16708028? 2, 23, 181609 What are the prime factors of 1645965? 3, 5, 79, 463 List the prime factors of 1268027. 37, 43, 797 What are the prime factors of 35805? 3, 5, 7, 11, 31 List the prime factors of 11473533. 3, 173, 7369 List the prime factors of 5075027. 17, 487, 613 What are the prime factors of 2450948? 2, 612737 What are the prime factors of 19447200? 2, 3, 5, 37, 73 What are the prime factors of 2181157? 11, 83, 2389 What are the prime factors of 65310? 2, 3, 5, 7, 311 List the prime factors of 258873
{ "pile_set_name": "DM Mathematics" }
+ 158.0337. Let d = t + -0.3337. Which is the closest to -11? (a) -3 (b) d (c) o a Suppose -87 = -4*d + 4*r + 133, -5*d = -r - 251. What is the closest to -1 in -5, 20, d? -5 Let i = -29 + 222. Let o = 196 - i. Let r = -0.1 + 0.2. Which is the closest to r? (a) 1/3 (b) o (c) 2/49 c Let n = -3182/9537 - -1/3179. What is the nearest to n in 1, 0, -22, -4? 0 Let y be (-8)/36 - 65/(-9). Let g be y*2/(-90)*-10. Which is the closest to g? (a) 5 (b) -2 (c) -4 a Let u(o) = 8*o**2 - 12*o - 12. Let l be u(-1). Let i be (-111)/(-74)*(l/(-30) + 0). Which is the nearest to i? (a) 2 (b) -2/5 (c) -0.5 (d) 0 b Let m = 10808 - 10975. What is the nearest to -0.2 in -2/13, 0.3, m, -4? -2/13 Suppose 5*x = -73 + 13. Let i be 4/x + (-7)/(-15). Let d = 5294.9 + -5295. What is the closest to d in 2, -0.2, i? -0.2 Let h = 46879.4 + -46879. Let j = -3.04 + 0.04. Which is the nearest to -7/6? (a) -0.2 (b) j (c) h a Let u = -15 + 16. Let r = -1306 - -1306. Which is the closest to -3.7? (a) r (b) -0.2 (c) u b Let z = -218/9 - -1108/45. What is the closest to -10 in -1, 3/5, z, 8? -1 Let q = -3.1 - -3. Let o = 42 - 41.896. Let a = -0.604 + o. What is the nearest to -2/7 in a, q, -1/8? -1/8 Let l = 501 - 495. Let q(g) = -g**2 + 8*g + 11. Let i be q(10). Let u = -9 - i. Which is the nearest to u? (a) l (b) -5 (c) 0.1 c Let i = 3006 + -3009. Which is the closest to -4? (a) i (b) -2 (c) 3.9 a Let h = 2545.3 - 2543.3. Let t = 29/96 + 1/32. What is the nearest to 0 in t, 30, -1/2, h? t Let m = -26.36 + 26.26. What is the closest to m in -3, -2, -0.203? -0.203 Let h = -44346 - -44346.1. Let o be 8/6*(-9)/(-16). What is the nearest to 0.1 in h, o, 0.2? h Let y = 0.0199 - 2.2799. What is the closest to y in -0.1, -5, 4? -0.1 Suppose -2*l + 0*l = -14. Let o = -226288/15 - -15086. What is the nearest to l in 1, o, -0.05? 1 Let y = -101/289 + 491/578. Let q = 0.2 - 0.3. Which is the closest to y? (a) q (b) 20 (c) 0.2 c Let g = 14938 - 14942. Which is the nearest to g? (a) -8 (b) 2 (c) 1 (d) 3 a Let f = -1.554 + 0.554. Let k = 0.21 - -0.29. Let s = -0.28 - 0.02. Which is the nearest to f? (a) 1/3 (b) k (c) s c Let i = -12.6 - -15. Let m = i - -0.6. Let h be (-25)/(-23) + (-490)/5635. Which is the nearest to h? (a) -1/3 (b) m (c) -1/4 c Let r = -0.8 + -1.6. Let p = -235 - -232.7. Let s = p - r. Which is the nearest to -1/3? (a) 2/9 (b) -0.4 (c) s b Let h = 7119 - 7121. Let r = 2.1 - 12.1. Let o = r - -5. Which is the nearest to 1? (a) -3 (b) h (c) o b Let w = -3831 - -3830.757. Which is the closest to 1? (a) 1 (b) -4 (c) w a Let o = 529 + -533. Which is the closest to 0.1? (a) 0.04 (b) -0.5 (c) o a Let b = 1048.32 - 1052.32. Let i be 6/4*4/(-21). What is the closest to 2/9 in 0.3, -2, i, b? 0.3 Let h = -0.55 - 1.45. Suppose -q + 38 = -12. Suppose 0 = -2*j + 7*j + q. What is the nearest to h in j, -1/6, 0.4? -1/6 Suppose -42*x + 1870 - 1954 = 0. What is the closest to x in -2/17, -2/3, 2, -1? -1 Let f = -10.065 - -0.065. Let m = f - -43. Let x = m - 35. Which is the nearest to 1/2? (a) x (b) -1/9 (c) -0.2 b Let z = 6 - 14. Let m be 0 - 3966/(-33) - (-52)/(-286). Let k = 115 - m. Which is the closest to -1? (a) 0.4 (b) k (c) z a Let q = -2216 - -2216.13. Which is the nearest to -0.1? (a) q (b) 1/2 (c) 0.3 (d) -0.01 d Let x = 8673/4 - 4339/2. What is the nearest to -0.1 in x, -2/41, -2, 2? -2/41 Let v = -3/1523 + 3055/4569. Let l = -2 - -2. What is the closest to 3/5 in l, v, -5? v Let g(s) be the second derivative of -s**4/12 + s**3/2 + 19*s**2/2 + 6*s + 4. Let f be g(-3). What is the nearest to f in -0.08, 5, -2? -0.08 Let m = -2068/7 + 295. Suppose -3*q = 11 - 8. Let r be -1*1/(q/(-2)). Which is the closest to r? (a) -0.2 (b) m (c) -1/10 b Let u = 0.6 - 0.3. Let p = -702.35 - -8.35. Let f = p + 699. Which is the closest to -0.5? (a) f (b) u (c) 1/7 c Let x = -23.38 + 24. Let f = x + -0.32. Let m be (45/75)/((-3)/(-2)). What is the nearest to m in f, -1/3, 0.05? f Let t = -0.17798 - -1.17798. What is the nearest to -1 in t, 1/25, 3/7? 1/25 Let o = -4.264 + 1.264. Let y = -1.3 - -0.3. What is the closest to y in -0.4, o, -0.7? -0.7 Suppose 91*k - 204 = 40*k. Which is the nearest to -0.034? (a) k (b) 3 (c) 2 (d) -4 c Let p = -132 + 128. Let h = -1510 + 1515. What is the closest to 0.2 in -1/2, p, h, 3/5? 3/5 Let h = -3.1 - 0.9. Let z(t) = -t**3 + 18*t**2 - 34*t - 32. Let k be z(16). Let v = k + 69. What is the nearest to 3 in v, h, 3? 3 Let b = 44/5 + -489/55. Let z = 13 - 21.4. Let s = -8 - z. What is the closest to 2/15 in -1, s, b? b Let s = -2857 + 2855. Which is the closest to -4.39? (a) -3/8 (b) s (c) 4 b Let m = -0.09 - -366.09. Let s = 365.952 - m. Which is the closest to 1? (a) -1/6 (b) 1/2 (c) s b Let r(f) = 8*f**2 + f + 1. Let l be r(-1). Suppose -l*n = 6*n + 308. Let v = n - -22. What is the nearest to v in 1, 0.4, 35/6? 0.4 Let d = -71 + 58. Let q = -8753 + 8755. Suppose 0 = 4*y + 7 + 9. Which is the nearest to d? (a) y (b) q (c) 4 a Let l = -12029 - -12034. Which is the closest to -3? (a) l (b) 0.5 (c) 44 (d) -3 d Let q = 0.20143 + -0.16933. Which is the closest to -1? (a) q (b) -5 (c) 4 (d) -4 a Let l(h) = 6*h**2 + 7*h + 20. Let i be l(-4). Let n = i - 4838/55. Let u = n + -67/330. Which is the nearest to 1/4? (a) 1 (b) 0 (c) u b Let m = 20170/7 + -2881. Which is the nearest to 9/4? (a) 1/3 (b) m (c) -1/7 (d) 3 d Let o = 253 - 253.264. Let p = -0.236 + o. What is the closest to -4 in p, -1, 2/11? -1 Let j be 11901/6*1/(-2373). Let g = 2/791 + j. Which is the closest to 0? (a) 0.2 (b) 1/11 (c) g (d) 0.5 b Let s be (-2)/4 + (-1)/(-2). Let h be ((-1)/((-8)/(-18)))/((-222)/592). Let b be (-1)/(h/24) - -8 - 2. What is the nearest to -2/5 in b, -0.7, s? -0.7 Let z = 224.8 + -243. Let f = -14.2 - z. What is the closest to 0 in -12, -0.3, f? -0.3 Let v = -100 + -15. Let l = v - -133. Which is the closest to -1? (a) l (b) -0.3 (c) 0.2 b Let v be 315/385 + -3 + -1 + 3. What is the closest to 2 in v, 860, 0.3? 0.3 Let v be (1/4 + (-60)/80)*(49 - 47). Which is the closest to 0.1? (a) -0.88 (b) v (c) 2/7 (d) 5 c Let w = -0.45 + 0.25. Let o = -1.07925 + 0.07925. Which is the closest to o? (a) -0.05 (b) w (c) 5 (d) 2 b Let k = -0.5166 + 0.3166. Let c be ((-12)/76)/(3/18). Let j = -33/95 - c. What is the nearest to k in 2/19, j, 5? 2/19 Let m = -3997 - -3995. Which is the closest to 0.1? (a) -3/103 (b) -4/7 (c) m a Suppose 820*z - 105 = 649*z + 66. Suppose -5*n + 24 + 6 = 0. Let v be 1/15 + (-4)/n. Which is the nearest to -1? (a) v (b) 5/2 (c) z a Let x = 0.2098 + -0.2098. What is the closest to x in 19, 1/2, 1? 1/2 Let t = 6905 - 6909. Which is the closest to -1.9? (a) t (b) -1/4 (c) 2/3 b Let u(j) = -261*j - 1573. Let s be u(-6). What is the nearest to 0 in 0.5, -0.79, s? 0.5 Let p(d) = -2*d**3 - 3*d**2 + 1. Let k be p(-2). Let i = -34 - -105. Suppose 72 = -59*j + i*j. Which is the closest to 0.1? (a) j (b) k (c) -0.2 c Let y = 36 + -34. Let j be (y - (-2 + 3))*2/(-2). Let n be 36/27*3/(-12). Which is the closest to n? (a) j (b) 2/7 (c) 3 b Let i = 43/28 - 16/7. Let u = 0.1 + 0. Let j be 3 - (-54)/(-22) - (-986)/(-1122). Which is the nearest to u? (a) i (b) j (c) -5/2 b Let o = 36.02 + -35.52. What is the nearest to -0.6 in 5, -0.1, o? -0.1 Let t = -16 + 16.2. Let l = 0.042 - 0.112. Let a = 0.07 + l. What is the closest to a in 9, t, -2? t Let y be ((2 + -7)/(-10))/(8/(-80)). Let u = 122 + -117. Which is the closest to u? (a) 3 (b) y (c) -3 a Let d = 103/30 - 23/6. Let v = 0.01 - -230.99. Let p = -234 + v. What is the nearest to p in d, -3, -2/13? -3 Let q = 1.864 + -1.664. What is the nearest to -3/2 in 2/9, -4/9, q, -1/3? -4/9 Let w be 545/2 - 10/20. Let z be ((-51)/w)/((-3)/4). Let p be ((-4)/(-14))/(78/14). Which is the closest to z? (a) -2 (b) p (c) -0.5 b Let f = -8/15 - -47/60. Let a = 1/11495 + 11489/68970. What is the nearest to f in -1, a, 2/7? 2/7 Suppose -13*o = 39944 - 39957. Let y = 11 + -11.3. Let w = 0 + 0. Which is the nearest to y? (a) -3 (b) o (c) w c Let w = 1/5 - -2/15. Let c = 1500 - 1495. What is the nearest to w in c, 3, 2? 2 Let g = -307 - -280. Let k be (g/(-63))/(12/(-21)). Which is the closest to 0? (a) 2 (b) 1/6 (c) k
{ "pile_set_name": "DM Mathematics" }
is -113 - (132 + -283) - -58? 96 Evaluate (58 - -52) + 208 + -243. 75 -17 + -13 - -13 - 33 -50 What is the value of -2 - -41 - (-2 + 10 + 15 + -6 + -6)? 28 What is -2 + 29 - (177 - 6) - -1? -143 What is 6 - (-91 + 117 - (-3 - 16))? -39 33 + (19 - (27 - -38)) -13 -6 + (-3 - 15) - (-7 + 7 + -7) - 0 -17 What is 144 + -21 + -44 - (-46 - -1)? 124 Evaluate -190 + 118 + -7 + 46. -33 81 + (121 - 42) + -122 38 Calculate 36 + -32 + 47 - 54. -3 Calculate (-4 - (2 + -51 + (-10 - -8))) + 0. 47 What is 7 - (-14 + 15) - (8 - 2)? 0 What is (0 - -32) + (27 - 24) + -4? 31 Calculate (-17 - -9) + -34 - (21 + (7 - 15)). -55 Evaluate 1 + -14 + (-7 - -5) + (-39 - -27). -27 Calculate (-8 - (4 + -5)) + 7 + 4 + -15 + 67. 56 What is the value of 7 + (-1 - 3) - (82 + -75)? -4 -4 - -6 - (-46 + 53) - 22 -27 Evaluate (-37 + 39 - 2) + 44. 44 (-34 - -36) + (-15 - (47 - -2)) -62 Calculate -882 - -867 - (0 + -2 - (-1 - -6)). -8 Calculate (3 - 1) + 1 + -15 + -19410 + 19390. -32 What is -28 + -10 + 20 + 7 - 16? -27 Calculate (-103 - (4 - 60)) + -3 + -4 + -3. -57 1 + -14 + -38 + (29 - (-19 + 3)) -6 What is the value of 7 - ((19 - 0) + -7 + -1 - -69)? -73 What is the value of 76 + ((-11 - -19) + -10 - 11) + 14 + 1? 78 Calculate (-3 - (-9 + 3 + 6)) + (22 - 52). -33 Calculate (143 - (144 - 64)) + 7. 70 152 - 97 - -25 - 21 59 Calculate -10 + (33 - 10) - (-2 + -73 + 5). 83 Calculate 28 + (174 + -178 - (-1 - -1)). 24 Calculate -9 + (-1 - -2) + 71 + (10 - 78). -5 Calculate -73 + 38 + (-20 - -38). -17 Calculate -816 - -786 - (4 + -87). 53 (4 - ((3 - 0) + -4) - 6) + (-23 - -4) -20 157 + -59 + -72 - (-2 - -115) - (11 - -1) -99 Calculate (-44 - (-80 + 22)) + 2 + 2 + 5. 23 What is (-5 - 4) + (-272 - -303)? 22 What is the value of -105 - -132 - (1 + -3 + -23)? 52 (195 - (56 + 65)) + -94 -20 What is (74 + -17 - 205) + 50? -98 -148 - (54 + -136 + -7) -59 Calculate -62 + -11 + -2 + (-136 - -168). -43 Calculate 0 - -32 - (3241 - 3276). 67 22 + (-4 - (31 - 13)) + (6 - 0) + -4 2 -54 + -1 + -18 + 41 -32 What is (16226 - 16153) + (2 - -1) + 1? 77 What is the value of -25 + 7 + 32 - (6 + 1)? 7 What is the value of 1 - (-46 + (-269 - -270) + (0 - 7))? 53 Calculate 32 + ((150 - 37) + -8 - 36). 101 Evaluate (-85 + -2 - -23) + 17 - -22. -25 Calculate -2 + 4 + 34 + -41 - -1 - (-16 + -12). 24 Evaluate 6592 - 6629 - (1 + 26). -64 Evaluate (-5 - ((-14 - -11) + -4)) + (66 - (0 + -10)). 78 Evaluate (207 - 137) + -15 + -5. 50 What is the value of -4 - (14 + 9 + -12 + -24) - 65? -56 -24 + 2 + (10 - 5) + -1 + 10 -8 Evaluate (-36 - (-37 + 19)) + 41 + -46 + 127. 104 Calculate 4 + (3 - ((10 - 12) + 12)) + (47 - -9). 53 What is the value of -636 + 583 - (-44 - 4)? -5 What is (-3 - (25 + -55)) + -45 + 81? 63 What is 2 + 27 + -36 - (19 - 24)? -2 What is (-3 - 23) + 37 + -45 + -44? -78 What is the value of -6 + (7 - 11 - -8) + 40? 38 Evaluate (47 - 129) + 85 + -2 + -24. -23 What is 3 + (-17 - -92 - 51)? 27 Calculate (39 - (-104 - (-20 + -7))) + -31. 85 Calculate -58 + (5 - 7) + -6 + 3 + 4. -59 What is the value of (-15 - (-1 + -2)) + 40 + -170 + 70? -72 Calculate (-2 + 1 - 1) + (2 - (-25 - -16) - 126). -117 Calculate -3 + 70 - (11 - 19 - (-16 + 4)). 63 Calculate (-141 - -140) + 48 + -11. 36 What is the value of (0 + 2 - 1 - 3 - (206 - 247)) + -3? 36 Calculate (-6 + (25 - 0) - 41) + 1 + 0. -21 What is 4 + 1 + (6 - (12 + -7)) + -47? -41 (71 - (217 - 114)) + 134 102 What is -35 - -52 - (-12 - -45)? -16 What is 21 - (17 - 18 - (-2 + -11)) - 13? -4 What is the value of 57 - -1 - (10440 - 10497)? 115 -22 + (-62 - (6 - 50)) -40 Calculate 1245 + -1267 - (-15 + 0). -7 Calculate (-422 - -473) + (1 - 47). 5 (-9 - 2) + (-16 + 34 + -23 - 5) -21 Evaluate -32 - -28 - (1 + (1 + 2 + -6 - -2)). -4 Calculate -38 - 3 - (-434 - -429). -36 13 + -2 + (2 + -82 - (-14 + 41 + -20)) -76 Calculate 44 + -74 + 4 - -30. 4 Calculate -8 + (3 + -6 - -2 - -1) + -3 + -11. -22 What is the value of 20 - (-88 - -23 - -20)? 65 What is 37 + 28 + -101 - 10? -46 (-3 + 14 - 1) + (17 - (-4 + 6)) 25 What is 36 + 64 + -130 - (-1 - 92)? 63 What is the value of -4 + (16 - -12 - 11) + 13 - (-14 + 1)? 39 What is (-1984 - -1942) + (-45 - (6 - 3))? -90 (-12 + (-1 - -7) - -13) + 5 + -3 + 3 12 -163 + 168 - (-11 - (-4 - (-2 + 1))) 13 Evaluate 3 + -76 - (2 + -10 - -4 - (5 + 1)). -63 80 + (-347 - -330) + (42 - 1) 104 Calculate -588 - -556 - (3 + -77). 42 What is the value of -4 + 14 - (1 - (6 + -36 - 0))? -21 -1 + 66 + (-44 - (55 - 110)) 76 Calculate -19 + 14 + 17 + 0 + -40 + 78. 50 128 + -61 + -63 + 12 16 Calculate 27 + -4 + (150 + 1 - (-349 + 386)). 137 Calculate 0 - 13 - (-81 + 136 + -57). -11 Calculate 27 - (-32 - -81) - (-4 - -2). -20 17 + (-5 - (-8 - 4 - 11)) 35 What is 38 + (18 + 28 + -26 - (-4 + 17))? 45 Evaluate 8 + (6 - -7) - (-36 + (-3 - -152)). -92 What is the value of 8 + (-25 - 41) + 14? -44 26 - (-23 + (0 - -4) + 115) -70 Calculate (-14 - (-16 - -10) - 0) + (1 - -3) + 5. 1 What is 2 + 0 - 13 - (12 - (-96 - -106))? -13 Evaluate (-24 - -9) + -33 + 2 + (-7 - -10). -43 What is the value of 64 + (-40 - (58 - -25))? -59 What is 69 + (-101 - -68) + 3? 39 1 + (51 - 25) + 20 + 1 48 Calculate -31 - (-53 - -93) - -8. -63 126 + -69 + -83 - (0 + (9 - -1)) -36 Calculate 0 + 30 + -35 + -24 + 82. 53 What is the value of 46 + 3 + -19 + -39 + -46? -55 What is the value of (-28 - (1 + -2 - -1)) + (-121 + 445 - 334)? -38 What is the value of (-8 - (4 - 2)) + 4 - (-14 + 24 + -48)? 32 What is the value of -24 + 12 + (-11 + 14 - (5 + -1)) + 6? -7 What is 2 + (-13 - 2) - (-68 + 121 - 105)? 39 What is 5 - (-5 + -13 + 16)? 7 (2 + -3 - (50 - 61)) + (35 - 15) 30 What is the value of (11 - (43 + -37)) + (-43 - -4) + -3? -37 What is 1 + -6 + -2 - 14 - 40? -61 What is the value of -20 + (3 + 8 + -5 - (-6 + -1))? -7 Evaluate 39 - (1896 - 1935 - (1 + -142)). -63 Evaluate 513 - 511 - (-1 + 10) - (1 - -22). -30 3 - (1483 + -1519 + (1 - 4) + 19) 23 What is the value of 6 + 39 + (-1 - 2 - (30 + -10 + -15))? 37 Evaluate 25 + (-13 - -20 - -3) + -16. 19 29 - (-6 - ((10 - -9) + -11)) 43 What is the value of -45 + 51 + -18 - (3 + -3 + -13)? 1 Evaluate 22 - ((0 - -15) + (33 - 34) - 13). 21 What is the value of -17 + 12 - 62 - (-12 + 9 - 7)? -57 8 + 129 + (-58 - (-19 - 36)) 134 What is -67 - (-119 + 85) - (-21 + -7)? -5 Calculate (18 - 6 - 11) + 4. 5 Calculate 3 + -44 - -4 - (128 + -137). -28 -43 - (1 + (-12 - (2 - (12 - 2))) - 3) -37 68 - (-48 + 126 + -39) 29 114 + -41 - 107 - (-16 + 2) -20 What is the value of (-105 - -35) + 83 - -20? 33 (62 - 16 - 18) + -30 + 12 + -4 6 What is the value of 16 + -10 + -13 + 5 + 5 + -11 + 38? 30 Calculate 129 - (-27 - (-19 + 21 - 11)). 147 Evaluate (-3 - 2) + 3 - (-50 - (-10 + -30)). 8 Evaluate -5 + (20 + (-17 - -13) + -6 - -6) + -49. -38 What is 2 + 41 + (-18 - (-24 - (-29 - -25)))? 45 -108 - (-136 + (20 - -101)) -93 -49 + 25 + 32 - ((4 - -3) + 2) -1 Evaluate 9 - (-38 + (-5 - -13) + 1 + 10). 28 Calculate -30 + (116 - (27 - -42)). 17 Evaluate -76 + -24 + (192 - 48). 44 What is 0 + (3 + -5 - -3) + (-24 - 4 - -16)? -11 What is the value of (83 - 0) + 2 + ((9 - 18) + -11 - -11)? 76 Evaluate -397 - -386 - ((-5 - 0) + (4 - 0) - -9). -19 What is the value of -120 + (21 - (-16 - (-16 - 5))) + -16? -120 42 + -4 + -60 + 40 18 Calculate 2 - 1 - 5 - (5045 - 5044) - 3. -8 What is the value of (4 - (30 - -5)) + (-3 - 12) + 21 + -1? -26 10 - (16 + -1 + (6 - 12)) - -49 50 Calculate (-2 - 16 - (318 - 359)) + 1. 24 62 + (25 - 63) + -31 + 43 + -1 35 What is -1292 - -1156 - (-266 + -2)? 132 What is -1 + (-13 - -7) + (-19 + 27 - (7 + -14))? 8 Calculate -1708 + 1688 - (-1 - -67). -86 What is 1 + -1 + -26 - (-352 + 271 - -105)? -50 Calculate (2168 - 2167) + 2 + (89 - (-3 + 8)). 87 Calculate -10 + 3 + (0 - 4) - 40. -51 What is the value of -11 + 11 - (-25 + 5 + 28 + -5)? -3 Calculate 5 - 0 - (1358 + -1379). 26 What is 2 + -9 - (13 + -18 + -11 + -2)? 11 Calculate (572 - 570) + 26 + 1. 29 What is the value of -1 - (-43 - ((-12 - -21) + 20))? 71 What is (27 - ((18 - 13) + 47)) + -1 + -10? -36 What is -179 + 152 - (7 + 1 + -8)? -27 Evaluate (-21 - (22 - 39)) + (1 - ((-2 - 3) + -21)). 23 12 - -34 - (-15 + 3 + 31) 27 Evaluate -62 - (-2 + 3 + 22 - (-113 + 122)). -76 Evaluate 34 - (10 + (17 - 11)). 18 What is the value of 26 + 3 + (-4 - -3) + -3 - (4807 - 4796)? 14 Calculate 7 + -1 - (4 + (16 - (7
{ "pile_set_name": "DM Mathematics" }
(d) -8 d What is the nearest to -1/3 in -60, 0.01, -2.4, 1/6, -4/3? 0.01 Which is the nearest to -1.3? (a) -2/15 (b) 624.8 (c) 3/5 (d) 2/3 (e) 4 a Which is the closest to 2027/2? (a) -51 (b) 0.11 (c) -0.1 (d) 0 b Which is the nearest to 5? (a) 0.35 (b) 6 (c) 249 (d) -4 (e) 2/11 b Which is the closest to -3? (a) 766 (b) 38/75 (c) 0 c What is the closest to -38 in 0, -3, 3.1, -0.2? -3 What is the nearest to 36.2 in -4, -16, -2681, 0.1? 0.1 What is the nearest to -4.5749 in -3, 0.06, -0.2, -7? -3 What is the nearest to -1/4 in 700/149, -0.8, -2/9? -2/9 What is the closest to -6 in 3, 5, -0.33, -2, -217, 2/25? -2 What is the closest to -0.05 in -44, 36, 9, -0.13? -0.13 Which is the nearest to 29/20? (a) -1/3 (b) 1/22 (c) 6600 b What is the closest to -849/1828 in 0, -1/4, -0.2? -1/4 Which is the closest to -1? (a) -17/28 (b) -14 (c) 1 (d) 0.06 (e) 1.5 a Which is the closest to 46? (a) -4 (b) 27 (c) -22753 b Which is the closest to 119? (a) 1/3 (b) 0.1 (c) -203 (d) -1 (e) 4.4 e What is the nearest to -0.0769 in -75, -2, -0.4, -11? -0.4 What is the nearest to -1/3 in 4, -4, -19/3, 22? -4 Which is the nearest to -1.9? (a) 2/5 (b) -2 (c) -363 (d) 5 (e) -223 b What is the nearest to -9432 in -242, 5, -4? -242 Which is the closest to 1? (a) 0.1 (b) -180.84 (c) -1358/5 a Which is the closest to -2/3? (a) 9 (b) -183.3 (c) 6/11 (d) 0 (e) -111 d What is the nearest to 3/73 in 0.4, -3, -36, 2/85, 0.01, -2? 2/85 What is the closest to -0.2 in 25, 0, 52/9, -2.03? 0 What is the closest to -3/5 in -4, 6.6, 1702, 5? -4 Which is the nearest to 0? (a) -2/7 (b) -0.167 (c) 669 b Which is the nearest to -64? (a) 0.1 (b) 2/5 (c) -5/6 (d) -2/5 (e) -6 e What is the nearest to 86.2 in 2/11, 2, -4/5, 3? 3 What is the closest to -1 in 1/3, -74, -97.97? 1/3 Which is the closest to -1/2? (a) 0.07 (b) -1 (c) -0.281 (d) -5 (e) 136 c What is the nearest to 1/18 in 22, 39, -3, -1? -1 Which is the nearest to 0.2? (a) -2 (b) -5 (c) -0.044 (d) 8/7 (e) 1/51 e Which is the nearest to -0.02? (a) -2 (b) -12 (c) -2/5 (d) -459 c Which is the closest to 0? (a) 5 (b) -1 (c) 8 (d) -22 (e) 0.1 e What is the nearest to 2 in -476, -0.02, 239, 3/8, 2/9? 3/8 What is the nearest to 2 in 0.06, 2/4437, 2? 2 What is the nearest to 4 in 6/11, -992, 4/11, -3, -2? 6/11 What is the nearest to -48 in 34/27, 3, -2/7, 2/13, -4, -2? -4 What is the nearest to -0.1 in 3/2, -5, -0.2, 2/3231, -1? -0.2 Which is the nearest to -643.9? (a) 3/19 (b) -0.5 (c) -1/7 b Which is the nearest to 2663/6? (a) 17 (b) -7 (c) -5 (d) -2/9 (e) 0.3 a Which is the closest to 0? (a) 2/15 (b) -0.4 (c) -8 (d) 2 (e) -2/33191 e Which is the closest to 35? (a) 21 (b) -1/2 (c) 4 (d) 5329 (e) -4 a Which is the closest to -1? (a) 14 (b) 0.073 (c) 350 (d) -3 (e) 8/7 b What is the closest to 3 in -24, -2/3, 11/6, -5/7? 11/6 What is the nearest to -1/197 in -7, 3, -3, 4, 826? -3 What is the closest to 3 in 0.3, -2, -62094, 1, 1.9? 1.9 Which is the closest to 0.2? (a) -1 (b) -2/3 (c) -31277 b Which is the nearest to 0.69? (a) -3 (b) 1/2 (c) -0.007 (d) -2 (e) -8/13 b What is the closest to -2/3 in -3, 2/119, -7, 1.4, 3, -371? 2/119 What is the closest to -236 in 9, -2.9, 5, -2/9, -1/7? -2.9 What is the nearest to -2/429 in 11, 0.04, -4/3, 4, -0.04? -0.04 Which is the nearest to -1/2? (a) -7 (b) 5/38 (c) 2 (d) -8 (e) -2/73 e What is the nearest to 1 in -2/47, 36, -0.00405? -0.00405 Which is the closest to -16? (a) 13.1 (b) 0.0068 (c) 3/2 b What is the closest to -0.1 in -2/15, 3/7, -0.5, -20.1, 12? -2/15 Which is the nearest to 1/428? (a) 1.11 (b) -4/5 (c) -3 (d) -0.3 (e) 4 d Which is the closest to 0.024804? (a) 1/2 (b) 1 (c) 0.6 a What is the closest to 4/1193 in -1.7, -4, 63/2? -1.7 What is the nearest to -0.06 in -2, 1/9, -0.4, -18975977? 1/9 Which is the closest to 0.1? (a) -1 (b) -0.09 (c) 198424 b Which is the closest to 1? (a) 4 (b) -17 (c) -2949 a Which is the closest to -1? (a) 4/5 (b) 499 (c) -0.5 (d) 2/25 (e) 6/11 (f) -2/15 c What is the nearest to -1/10 in -4, -13/41, 6/5? -13/41 What is the nearest to 1 in -3/4, 23.09, -7, -4? -3/4 What is the nearest to 13 in -1/3, -1/7, -0.2, 1/466? 1/466 Which is the nearest to -1? (a) -15 (b) 1/11 (c) 0.3 (d) -0.3 (e) -3/11 d Which is the nearest to 4.1? (a) -5 (b) -4 (c) -0.0214 c Which is the nearest to -0.1? (a) 0.3 (b) 0.4 (c) 0.058 (d) 3 (e) 13 (f) -5 c What is the closest to 2 in 24, -2480, 2/19, 1/7, 0, -1/3? 1/7 Which is the nearest to 22? (a) 0.5 (b) 57 (c) -2/5 (d) -74.8 a What is the nearest to 955 in -3, -63, 177? 177 What is the closest to -0.1 in 2, -1358, -0.013, 0.3, 0.1? -0.013 What is the closest to 32/5 in -0.4, 23, -4404, 0.09? 0.09 Which is the nearest to -2/11? (a) -0.1 (b) 0.2 (c) -3504 (d) -3 (e) -1/7 e What is the nearest to -0.0329 in 4, 3, -1, -6.3, -262? -1 Which is the nearest to -0.1? (a) 9 (b) -1104 (c) -3.2 (d) -0.1 (e) 0.4 d What is the closest to -1 in 2/7, 20, -2, -2/3, -0.1, 8319? -2/3 Which is the closest to -21/4? (a) -0.1 (b) -325546 (c) -1 c What is the closest to -13/4 in 3/8, 630, 4, 1.1? 3/8 What is the closest to -5/72 in -5, -2, -0.3, 4/77? 4/77 What is the closest to -1/12 in -3, -4, 4/78549, -0.1? -0.1 What is the closest to 1 in 0.3, -1/9, -6032, 3, 0.15, 4/9? 4/9 Which is the closest to -2/7? (a) 0.25 (b) 99 (c) 2 (d) -2.8 a Which is the nearest to -0.17? (a) -2126 (b) -2 (c) 3 (d) 0.2 d Which is the closest to 1? (a) -2 (b) 1/3 (c) 1/3348 (d) 2 b What is the closest to -1 in -0.3, 5, -38, -11/13, 73? -11/13 What is the nearest to -1 in 2, -7/5, -0.03, 6.4, -17.5? -7/5 Which is the nearest to -273/4? (a) -3/2 (b) -4/7 (c) 1 (d) 1/3 a What is the closest to 3 in 0.01936, 5/4, -0.4, 3/10? 5/4 What is the closest to -1/2 in -0.11, 32111, 3, -2/7? -2/7 What is the nearest to -0.4 in 16234, -5, 5? -5 What is the closest to -164 in 1, 0.9, -4878? 0.9 What is the closest to 8/5 in -0.1, 3, 5, 13251? 3 What is the nearest to 2/5 in -0.11, 0.2, 2906/17? 0.2 What is the closest to -24312 in -0.06, 4, 47? -0.06 What is the nearest to -17026 in 5, 0.2, 4, -2, 2/21? -2 What is the closest to -219159 in 0.01, 2, -3/13? -3/13 What is the closest to -1 in -1, -0.4, 1/14, 68251? -1 Which is the nearest to 1? (a) 0.3 (b) -62/171 (c) -2 (d) 2/7 (e) 2 a What is the nearest to -1/4 in 2/21131, 10, -0.186? -0.186 Which is the closest to 0? (a) -11/2 (b) 1768 (c) 1/5 (d) 2/7 (e) 59 c Which is the closest to 13855? (a) 12/7 (b) 1/4 (c) -1/4 (d) 9 d Which is the closest to -125? (a) 0 (b) 1 (c) -1/3 (d) 1/607 c Which is the nearest to 2/3? (a) 26 (b) 1 (c) -4 (d) 3407 b What is the closest to -65 in 1, 2, -0.03, 0.4, -3/8, -58? -58 What is the closest to -0.39383 in 0, -110, -4? 0 Which is the closest to -4? (a) 4/9 (b) 63 (c) 0.3 (d) -1/3 (e) 15/133 d What is the nearest to 389 in 4, -59, -5, 5, -0.15? 5 What is the closest to -20 in -13, -1257/25, -0.1? -13 Which is the nearest to 2/5? (a) -9.06 (b) 1/10 (c) -2/515 b What is the nearest to -0.2 in -2/25169, 0.3, 8/9, -1? -2/25169 What is the nearest to 5.91 in -7, -1/4, 2.6, -2/5, 3/7, 11? 2.6 What is the nearest to 0.3 in 223/5, -3, 2/7, -0.3? 2/7 Which is the closest to -13.9? (a) 0.039 (b) -26 (c) 4 b What is the nearest to -8 in 1/3, 1/5, -310, 4, -43? 1/5 What is the nearest to -4/5 in 0.16, 326, 0.15, 0.061? 0.061 What is the nearest to -2 in 4.51, -56.5, -0.1, 2/29? -0.1 Which is the closest to -22? (a) -2.2 (b) 0.11 (c) 13/35 (d) 2/19 (e) -3 (f) -1/3 e Which is the closest to 0.1? (a) 2 (b) 1 (c) -8/27 (d) -3 (e) -85 c What is the closest to 1/3 in 1/2, 0.0474, -99, 1, 0? 1/2 What is the nearest to 193 in -2, 0, 1/43, -1/2, -558? 1/43 What is the nearest to -0.1 in -86292, -5, 0.06, -3, -0.5? 0.06 What is the nearest to 3/1169 in -120415, 0.1, 5? 0.1 Which is the nearest to 3245? (a) 8 (b) -2 (c) 11 c What is the nearest to -2/5 in -9399, -0.66, 0, -25, -3? -0.66 Which is the nearest to 3/5? (a) -2/9 (b) 2/6323 (c) 0.3 (d) -30 c What is the closest to 11 in 201, -15, -3, 5, 4? 5 Which is the closest to 23? (a) 1 (b) -38/9 (c) -2 (d) -19 a Which is the closest to -2? (a) 3 (b)
{ "pile_set_name": "DM Mathematics" }
54 = 17. Let j = l + 7. Solve 0*o = j*o + u - 16, 3*u = 12 for o. 3 Suppose -m = -4*o + 16, 4 = -3*o - 2*m + 16. Suppose 3*r = -2*r + 5*f + 30, -4*r = o*f. Solve -4*s - 20 = -z, r*z - 4*s + 10 - 38 = 0 for z. 4 Suppose 4 = -0*t + t. Suppose -4*w + 49 = v, -4*v - 32 = -0*w - 3*w. Let d be 3*-2*(-10)/w. Solve -2 + 7 = -d*p, 9 = t*m - 5*p for m. 1 Suppose 13*h - 15 = 8*h. Solve -c - 1 = 0, -2*c + 2 = -h*v + 1 for v. -1 Let l(p) be the first derivative of -p**3/3 + 3*p**2 + 6*p - 8. Let u be l(6). Solve n - u*n = 2*m - 23, 0 = m - n - 1 for m. 4 Let g(y) = -2*y - 1. Let c be g(-2). Suppose h + c = 2, 6 = 3*f + 3*h. Solve 0 = -f*t + r + 10 + 10, -4*r - 20 = 0 for t. 5 Suppose -12 + 18 = m. Solve -2*z + 0*r + m = -r, -10 = -5*r for z. 4 Let d be 2 - (12/3)/(-1). Suppose 9*p - 12*p = -12. Solve -d*u + u + 4*j = 13, -u + p = -3*j for u. -5 Let n(t) = -33*t + 1. Let d be n(1). Let u = -21 - d. Solve -2*z - 12 - u = -5*r, 3*r - 15 = 0 for z. 1 Let o(x) = -x**3 + 7*x**2 + x - 2. Let y be o(7). Let g = 16 - y. Solve -13 = -3*f + 7*f - 5*k, 3*f + g = 4*k for f. 3 Suppose 3*p + 63 = 4*n, 3*n + 48 = 5*n + 4*p. Solve 5*q = -3*r + n, 5*r + 3*q - 9 - 5 = 0 for r. 1 Suppose 3*j - 9 = -4*z, 6 = -5*j - 19. Solve -3*o = -k - 0*o - 5, 4*k + o - z = 0 for k. 1 Suppose r = -1 + 3. Solve 2*v - 3*f - f + r = 0, 0 = -5*v - 4*f + 23 for v. 3 Suppose -4*b + 6 = -b. Let l(i) = -i - 8. Let y be l(-7). Let o be 3/1 + y + 0. Solve -5*a + 33 = -b*p, 0*p - 2*p = o*a - 2 for p. -4 Let g be (-11)/(-4) + 2/8. Let i be 4/(-6) - 76/(-6). Let v be (4 - 0)/(-2) + i. Solve -2*y + v = 0, 2*y = -2*z - g*y + 35 for z. 5 Let s be -3 + 1/((-1)/5). Let m = s + 14. Solve -5*q + m = b, -b + 3*b = 5*q - 18 for b. -4 Let m = 12 + -6. Let i = -6 - -8. Let b(x) = x + 6. Let k be b(-2). Solve i*l - m = -4*p, 7*p - k*p + 18 = 3*l for p. -1 Let w(o) = o**3 - 4*o**2 + o - 1. Let p be (-1)/(1 + (-8)/6). Suppose -7 - 5 = -p*j. Let l be w(j). Solve -5*a - 9 = -4*f, 5*a = -l*f - 1 - 1 for a. -1 Let o = 87 + -83. Solve -o*r + 21 = s, 5*s - 8 = -5*r + 37 for s. 5 Suppose 5*v + y = -16 - 10, v = 3*y - 2. Let p be (-2)/(1 + 7/v). Solve 8*i - 9 = 4*i + p*r, 4*i + 4*r + 36 = 0 for i. -4 Suppose q + 4*x - 14 = 0, 22 - 6 = 2*q + 4*x. Let v(w) = w**2 + 4*w + 3. Let n be v(-5). Suppose 2*m - 28 = -n. Solve -f + m = 4*f, -q*f = -2*g for g. 2 Let l(i) = i**3 - 5*i**2 + 6*i - 4. Let v be l(4). Suppose 3*d = 13 - 1. Solve -d = 4*h - v*o, -3*h - 5*o - 11 = -0*o for h. -2 Let s(c) = 3*c - 19. Let b be s(7). Solve -b*z - 12 = 3*t, -2*z + 6*z + t = -4 for z. 0 Let j = 446 - 446. Let p = 1 - -2. Solve j = -3*d + 5*s + 14, 2*d - 5*s = -p + 14 for d. 3 Let b(i) = -i**2 + 5*i - 4. Let k be b(3). Let x = -7 + 9. Suppose u - 6*u + 10 = 0. Solve -u*g - 5 = -3*g - 3*j, g - x = -k*j for g. -4 Let l = 56 - 102. Let b be 4/(-14) + l/(-14). Solve -b*h + 0*u - 2 = -2*u, 0 = -2*h + 5*u + 17 for h. -4 Suppose -13 = s + 17. Let m be (2 - 0)/((-15)/s). Solve 2 = q - u + 4, m*u - 8 = -q for q. 0 Suppose 3*y - 5*v = -3 + 18, 25 = 5*y - v. Let t be (2/(-6) + 1)/(12/162). Solve 0 = y*k - o + 1, -2*o = k - 0*o + t for k. -1 Let r be (-4)/2*(-5 - -4). Let j be (r/(-3))/((-3)/36). Let h = j + 7. Solve a - 5*v - 4 - h = 0, 5*a - 32 = 4*v for a. 4 Suppose -2*o = 0, -2*l = 3*l + 5*o - 20. Solve -4*x + l = 4*g, -3*g + 2*g + 4*x = 24 for g. -4 Let d = 7 + -2. Suppose -4*v + 0 = -3*a + 1, 0 = -d*a - v + 17. Solve -g - 3*b - 2 = -0*b, -a*g + 6 = -3*b for g. 1 Let y = -6 - -6. Solve 4*m + 4*x = y, -6*m + 2*x = -2*m - 30 for m. 5 Suppose -b + 53 = 3*q + b, b + 50 = 3*q. Suppose 2*c = -7 + q. Solve 0*o - 2*l + 12 = -4*o, -c*o - 2*l = 33 for o. -5 Suppose 0 = l - 4 + 1, -4*l = -4*p + 4. Solve 0*u + p*u + 5*b = -5, 0 = -5*u - 4*b + 5 for u. 5 Let v = 3 + 1. Let d(k) = 14*k - 4. Let h be d(2). Solve -4*w = v*a + h, 3*a = 2*w - 3*w - 14 for a. -4 Let b be 2 - 2 - (-2 - 1). Let v = 3 - b. Solve v = -4*p + 5*h - 10, 5*h = -3*p - 20 - 5 for p. -5 Let o(g) = 2*g**2 + g - 1. Let t be o(1). Let q be t/(-9) - 290/(-90). Solve -q*s + 10 = 2*f - 3, -3*f - 3*s = -12 for f. -1 Let y(x) be the second derivative of -x**3/6 - 3*x**2/2 - x. Let s be y(-7). Solve -d = -2*d + s*p + 10, 0 = 3*d + 2*p + 12 for d. -2 Suppose 0 = -3*n - 29 - 37. Let w = 9 + n. Let t = w - -27. Solve 5*a = 1 + t, -5*o - 5*a + 15 = 0 for o. 0 Let f(v) = -15*v - 2. Let m = 0 + -3. Let l be f(m). Let c be (-3)/(-12) + (-19)/(-4). Solve -3*y - 5 = -w, 5*w + c*y + l = 8 for w. -4 Suppose -15*o = -18 - 12. Solve -4*x = -4*v - 40, x - o*v = -4*x + 35 for x. 5 Suppose 4*i = -0*i, -2*u + 10 = i. Solve -21 = -u*f + 4*t, 5*t - 2 = -22 for f. 1 Let z(j) = 3*j. Let h be z(2). Let n = h + -3. Solve 3*s - n = 3*g, -5*g + 0*s + 2*s = 2 for g. 0 Suppose 0 = 2*k + 5*v - 52, -3*k + k + 36 = v. Solve -3*q + k = -c, q - 5*q = -5*c - 36 for q. 4 Let q = -7 - -11. Suppose q - 5 = m. Let w be m/2*(5 - 9). Solve -4*f - 2*x - w = 10, f = -x - 1 for f. -5 Let t(o) = -1 - 1 + 46*o**2 - 1 + 3*o. Let z be t(2). Suppose 5*b - z = -52. Solve -3*m + 3*j = -b, 4*m - 2*m - 3 = -j for m. 4 Suppose 22 = 3*g - 4*c, g = -2*g + 5*c + 26. Suppose -2*j + 3*b - 17 = 0, 3*j - g*j + 5 = -2*b. Let y = -5 - j. Solve -4*z + y*n = 6, z + 3*n - 4 = 2*z for z. -1 Let o be (-3)/(-6)*2*6. Let l = 11 - o. Solve 2*q = 2*w + 4 + 4, -5 = -l*q + 2*w for q. -1 Suppose 0 = -3*b + 27 + 21. Suppose -2*v + 4*k = -b, 1 = 3*v + 4*k + 7. Solve -2*u + 3 = 4*t + 7, 3*u = -4*t - v for t. -2 Suppose -3 = -2*q + 1. Suppose 3*m + q*m = 0. Solve 0 = 4*l - 4*g - 20 - m, 0 = -5*g - 10 for l. 3 Suppose -8*v + 4*v = 4*r - 88, 3*r - 5*v = 58. Solve -x - 5*t = r, -8 = 5*x - 5*t - 53 for x. 4 Let p be ((-30)/(-10))/(6/52). Let z be (-20)/130 - (-82)/p. Solve -z*a + o - 11 = -0*o, 4*a + 22 = 5*o for a. -3 Let h be 2 - 21/(3 + 0). Let j = -3 - h. Solve -g = g + y - 1, 0 = 5*g + j*y - 5 for g. 3 Let l = -8 + 10. Suppose 0*p - 30 = -l*p. Solve 0*h + h - 2*m = 9, -5*m = p for h. 3 Let o be 3/12*3*(13 + -1). Solve -4*c + 3*v = -15, 2*v + 1 = -3*c - o for c. 0 Let a(g) be the second derivative of -g**5/20 + 5*g**4/12 - 2*g**3/3 + g**2 - 6*g. Let d be a(4). Solve -h + 4*m = -0*m + 4, 5*m = d*h + 5 for h. 0 Let a = -18 - -31. Suppose b - a = -s, 36 = 3*b + b - 4*s. Solve -i = -0*i - 2*v - b, 5*v + 35 = 4*i for i. 5 Let v(s) = s**3 - 2*s**2 + 2. Let f be v(2). Suppose f = w - 3. Solve -2*u = r + 8, -2*u = -w*r - 7*u - 15 for r. 2 Let p be ((-7)/2)/((-8)/16). Let f = p + -2. Solve -5*u + f*d + 10 = 0, -5*u - d = d + 18 for u. -2 Suppose m + 1 = -1, 4*o = -2*m + 4. Let k(w) = 8 - 6 - 1 + w - o. Let b be k(3). Solve r = 2*r + 3*g + 4, b*r + g = 2 for r. 2 Let p(k) = -24 + 24 + 7*k. Let w be p(2). Solve -l = 4*l - 4*o - 2, 2*o + w = -4*l for l. -2 Let h = 2 - 7. Let a be 2/(-10) + (-16)/h. Solve 0 = -5*k - 2*w + a, 0 = -2*k - w + 2*w + 3 for k. 1 Suppose -8*j = -3*j. Let q(p) = -p**3 - p - 10. Let i be q(j). Let u = -6 - i. Solve -n - n = -2*v + 16, 3 = 3*v + u*n for v. 5 Let b = 50 - 48. Solve 2*c - z = b, 5*z + 10 = -5*c - 0*z for c. 0 Suppose -3*x + 0*x + 33 = 0. Let d = x + 9. Solve -4*q - v - d = 0, 5*q = 3*v - 21 - 4 for q. -5 Suppose 0 - 4 = -2*b, j - 5*b + 6 = 0. Suppose 0 = -4*r + 12 - j. Solve 5*m = -v + 20, -2 = -r*m + v + 13 for m. 5 Suppose 5*s - 30 = -5. Let g = -7 - -11. Solve -s*o + 4*q + 4 = -0*q, -g*q = -16 for o. 4 Suppose 2*d = -2*d + 4. Let v be (-1 - d) + 2*2. Solve -v*t - 3*t + 8 = 2*z, -3*z + 4*t + 12 = 0 for z. 4 Suppose 5*u = 6 + 19. Solve -u*i = -20, 5*r = -6*i + 3*i - 8 for r. -4 Let g = -178 - -178. Solve g*u = 4*y + 5*u + 9, 0 = -5*y + 5*u + 45 for y. 4 Let i(p) = p + 6. Let d be i(-3). Solve 3*m + s = -8, -d*m = -2*s + s + 16 for m. -4 Suppose 0 = 36*q - 45*q + 99. Let v(a) = 4*a**2. Let d be v(1). Solve 4*j - q = -5*n, -d*j = -5*n + n + 16 for n. 3 Suppose 3*b + 8 = 23. Suppose -3*n - n + 12 = 0. Solve 7 - 2 = s, -n*r - b*s = -31 for r. 2 Let s(q) = -15 + 8 - 2*q + 3*q. Let p be s(9). Solve 20 = -4*r + p*f, -4*r - 24 = -2*f - f for r. -3 Let p be (-12)/(-42) + (-61)/(-7). Suppose 0 - p = -3*j. Solve 2*f + 9 = -j*n, -5*f + f = -2*n + 10 for f. -3 Let a = 15 - 11. Let r be a - (-2 + -2)/2. Suppose -x + r*x = 30. Solve -5*u - 10 = 2*s, 5*u - x*u = 0 for s. -5 Suppose w + 25 = -2*c + 7*c, -4*w - 20 = 0. Suppose 0 = -c*o - 8 + 20. Let n be (18/(-15))/((-4)/10)
{ "pile_set_name": "DM Mathematics" }
1 i? 56/4845 Calculate prob of picking 2 u when two letters picked without replacement from uuujjj. 1/5 What is prob of picking 4 c when four letters picked without replacement from ddddccd? 0 Two letters picked without replacement from ycowaoa. What is prob of picking 1 a and 1 o? 4/21 Three letters picked without replacement from {a: 5, i: 3}. What is prob of picking 1 i and 2 a? 15/28 Three letters picked without replacement from xvxxoxvxxxxkvxxo. What is prob of picking 1 k and 2 x? 9/112 Three letters picked without replacement from {k: 2, w: 2, j: 1}. Give prob of picking 2 w and 1 k. 1/5 Four letters picked without replacement from qqoqqjoqjoqaaqqqoqaj. Give prob of picking 2 a and 2 o. 6/1615 What is prob of picking 1 h and 1 y when two letters picked without replacement from {p: 1, l: 1, h: 1, y: 2, o: 1, q: 1}? 2/21 What is prob of picking 1 f, 1 w, and 1 n when three letters picked without replacement from wnfnfgb? 4/35 Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {w: 1, b: 1, m: 1, h: 1, c: 4}. 1/28 Three letters picked without replacement from wmjwjjjjmwss. What is prob of picking 2 s and 1 j? 1/44 Two letters picked without replacement from fijfiiffiiifikkiiiik. What is prob of picking 1 f and 1 i? 11/38 What is prob of picking 1 k and 2 h when three letters picked without replacement from hkkhhkk? 12/35 Four letters picked without replacement from qqpqqppqpqpqqpqqqq. What is prob of picking 3 q and 1 p? 22/51 Two letters picked without replacement from {j: 10, h: 1, a: 6}. What is prob of picking 1 j and 1 h? 5/68 Four letters picked without replacement from lmllsgi. Give prob of picking 1 s, 1 m, and 2 l. 3/35 Two letters picked without replacement from {i: 4, b: 4, q: 6}. Give prob of picking 2 i. 6/91 What is prob of picking 2 r and 1 u when three letters picked without replacement from eerrueeeuruuee? 3/91 What is prob of picking 2 p and 1 v when three letters picked without replacement from ppvpppvpppppppv? 198/455 Calculate prob of picking 1 o and 2 u when three letters picked without replacement from oloululogu. 3/40 Four letters picked without replacement from {p: 3, n: 2, u: 5, o: 10}. What is prob of picking 3 p and 1 o? 2/969 Calculate prob of picking 2 j when two letters picked without replacement from {j: 6, x: 2}. 15/28 What is prob of picking 1 t and 1 w when two letters picked without replacement from {w: 1, t: 2}? 2/3 What is prob of picking 1 y and 1 q when two letters picked without replacement from {y: 1, f: 6, b: 1, q: 8}? 1/15 Two letters picked without replacement from jcjcbllcc. What is prob of picking 2 c? 1/6 Two letters picked without replacement from jkojlkgjjl. What is prob of picking 1 j and 1 o? 4/45 Calculate prob of picking 2 p and 1 e when three letters picked without replacement from {e: 2, p: 4, h: 4, n: 1}. 4/55 Calculate prob of picking 1 i, 1 e, and 2 s when four letters picked without replacement from {i: 5, k: 2, e: 1, s: 2, v: 4, n: 1}. 1/273 Two letters picked without replacement from oymymmmmo. Give prob of picking 2 o. 1/36 Two letters picked without replacement from kpvvkvppkkkzvvpv. Give prob of picking 1 k and 1 z. 1/24 Three letters picked without replacement from oooiyyyoyyyyo. What is prob of picking 2 o and 1 i? 5/143 Four letters picked without replacement from mmminmmmmmmmnnm. Give prob of picking 1 i and 3 m. 11/91 Three letters picked without replacement from yyyyyccffyyyccyy. What is prob of picking 2 f and 1 c? 1/140 What is prob of picking 1 i and 3 x when four letters picked without replacement from ixxxxxxixxxiixxxxxx? 455/969 What is prob of picking 1 k and 1 b when two letters picked without replacement from btutktitttkkk? 2/39 Four letters picked without replacement from {v: 2, y: 4, x: 2, d: 3}. What is prob of picking 2 v and 2 y? 1/55 Four letters picked without replacement from fffmffffffffffffffff. What is prob of picking 4 f? 4/5 Four letters picked without replacement from {u: 3, b: 2}. Give prob of picking 4 u. 0 Two letters picked without replacement from lrllxqqhqqqflfqfhr. Give prob of picking 1 x and 1 r. 2/153 What is prob of picking 1 x, 1 q, and 2 k when four letters picked without replacement from xqukkxkrqbburbrkbuqx? 18/1615 Two letters picked without replacement from xxxxoxxoxxo. What is prob of picking 2 o? 3/55 What is prob of picking 3 y and 1 i when four letters picked without replacement from {y: 5, i: 11, m: 1}? 11/238 Calculate prob of picking 2 o and 1 v when three letters picked without replacement from vovvvvvvoovvvvvvvov. 30/323 Two letters picked without replacement from waamw. What is prob of picking 2 a? 1/10 Three letters picked without replacement from {t: 1, j: 1, o: 1, l: 1, q: 1}. What is prob of picking 1 t, 1 j, and 1 q? 1/10 Three letters picked without replacement from {n: 1, i: 1, t: 1, b: 1, x: 1}. Give prob of picking 1 n, 1 x, and 1 i. 1/10 What is prob of picking 2 l and 1 i when three letters picked without replacement from {l: 2, m: 2, i: 1, k: 2, p: 5, d: 2}? 1/364 Four letters picked without replacement from {d: 4, s: 5, f: 6, c: 1}. What is prob of picking 1 f and 3 s? 3/91 Four letters picked without replacement from {u: 1, n: 5, i: 2, b: 2, z: 4}. What is prob of picking 1 u, 2 b, and 1 z? 4/1001 Calculate prob of picking 2 c when two letters picked without replacement from {y: 3, c: 6, r: 6}. 1/7 Calculate prob of picking 1 v and 3 l when four letters picked without replacement from vzlzzddlvzzzdzzlz. 1/1190 Two letters picked without replacement from {f: 3}. Give prob of picking 2 f. 1 Calculate prob of picking 2 d when two letters picked without replacement from ddddddddd. 1 Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {d: 2, i: 7, v: 5, j: 1, c: 1}. 7/120 Three letters picked without replacement from leleclleeeeka. Give prob of picking 1 e and 2 l. 18/143 Four letters picked without replacement from zzzzz. What is prob of picking 4 z? 1 Four letters picked without replacement from zzhhorhhzdohzzhdhh. What is prob of picking 3 z and 1 d? 1/153 What is prob of picking 1 o and 1 k when two letters picked without replacement from fkfflxfxfffkxxfofffx? 1/95 What is prob of picking 3 a and 1 f when four letters picked without replacement from fffffaffffaaaffaff? 13/306 Four letters picked without replacement from ooooboooobabab. Give prob of picking 1 b and 3 o. 32/143 Two letters picked without replacement from uhpululxullhpgggggg. Give prob of picking 1 g and 1 l. 8/57 Calculate prob of picking 2 r when two letters picked without replacement from {k: 4, l: 2, r: 7}. 7/26 What is prob of picking 1 x, 1 k, and 2 u when four letters picked without replacement from {u: 3, x: 3, k: 1, c: 1, i: 2, q: 1}? 3/110 Calculate prob of picking 2 f when two letters picked without replacement from fssfffggfffffwsf. 3/8 Three letters picked without replacement from {v: 3, q: 5, a: 1, y: 4}. Give prob of picking 1 a and 2 q. 5/143 Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {u: 7, j: 2}. 7/18 Two letters picked without replacement from {j: 7, k: 5, l: 8}. Give prob of picking 1 l and 1 j. 28/95 What is prob of picking 1 d and 1 n when two letters picked without replacement from {x: 2, n: 1, z: 1, d: 1}? 1/10 What is prob of picking 2 k, 1 b, and 1 q when four letters picked without replacement from {b: 6, k: 2, q: 4, o: 6}? 2/255 What is prob of picking 1 t and 1 i when two letters picked without replacement from ittkt? 3/10 Four letters picked without replacement from {o: 8, d: 5}. Give prob of picking 1 d and 3 o. 56/143 Three letters picked without replacement from {g: 4, s: 4, b: 3, d: 3}. Give prob of picking 1 g and 2 s. 6/91 Three letters picked without replacement from tqdbouo. What is prob of picking 1 d, 1 b, and 1 q? 1/35 Two letters picked without replacement from {w: 3, s: 2}. Give prob of picking 2 w. 3/10 Three letters picked without replacement from uuuuucuuuuuuuuuuuuu. What is prob of picking 1 c and 2 u? 3/19 Two letters picked without replacement from {y: 2, j: 1, b: 5, p: 2, n: 1, q: 2}. Give prob of picking 1 p and 1 q. 2/39 What is prob of picking 1 q, 1 m, and 1 d when three let
{ "pile_set_name": "DM Mathematics" }
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4:41 AM How many minutes are there between 1:08 AM and 1:44 AM? 36 How many minutes are there between 8:55 PM and 8:42 AM? 707 How many minutes are there between 4:15 PM and 7:00 PM? 165 What is 372 minutes before 5:58 AM? 11:46 PM What is 680 minutes before 7:00 PM? 7:40 AM How many minutes are there between 3:26 AM and 4:54 AM? 88 What is 592 minutes before 12:55 AM? 3:03 PM What is 655 minutes after 8:57 PM? 7:52 AM How many minutes are there between 12:59 PM and 10:19 PM? 560 What is 466 minutes after 9:53 AM? 5:39 PM What is 607 minutes after 4:49 AM? 2:56 PM How many minutes are there between 12:31 PM and 3:17 PM? 166 What is 325 minutes before 5:29 AM? 12:04 AM What is 126 minutes before 1:22 AM? 11:16 PM What is 715 minutes after 7:11 PM? 7:06 AM How many minutes are there between 9:16 AM and 8:03 PM? 647 How many minutes are there between 10:23 AM and 7:42 PM? 559 How many minutes are there between 4:34 PM and 10:45 PM? 371 How many minutes are there between 3:47 AM and 7:18 AM? 211 What is 687 minutes after 8:51 PM? 8:18 AM How many minutes are there between 2:13 AM and 12:20 PM? 607 What is 185 minutes after 6:07 PM? 9:12 PM What is 715 minutes after 7:10 PM? 7:05 AM What is 10 minutes after 11:28 AM? 11:38 AM What is 687 minutes before 2:07 AM? 2:40 PM How many minutes are there between 4:57 PM and 5:03 PM? 6 How many minutes are there between 6:04 PM and 5:48 AM? 704 How many minutes are there between 9:22 AM and 9:24 AM? 2 How many minutes are there between 8:05 AM and 3:13 PM? 428 How many minutes are there between 2:32 AM and 8:16 AM? 344 What is 667 minutes before 1:50 PM? 2:43 AM How many minutes are there between 10:47 AM and 2:45 PM? 238 How many minutes are there between 2:32 AM and 12:28 PM? 596 What is 53 minutes before 12:04 AM? 11:11 PM How many minutes are there between 7:06 PM and 6:50 AM? 704 How many minutes are there between 5:01 AM and 10:24 AM? 323 What is 570 minutes after 2:41 AM? 12:11 PM How many minutes are there between 10:45 PM and 2:14 AM? 209 How many minutes are there between 8:01 AM and 8:36 AM? 35 How many minutes are there between 7:14 PM and 11:17 PM? 243 What is 705 minutes after 7:24 PM? 7:09 AM What is 399 minutes before 9:00 PM? 2:21 PM What is 687 minutes before 2:12 AM? 2:45 PM What is 332 minutes before 7:41 AM? 2:09 AM How many minutes are there between 1:16 AM and 7:09 AM? 353 What is 110 minutes before 12:39 AM? 10:49 PM How many minutes are there between 9:58 PM and 10:58 PM? 60 What is 207 minutes before 9:43 PM? 6:16 PM How many minutes are there between 6:38 AM and 12:45 PM? 367 What is 71 minutes after 1:36 AM? 2:47 AM What is 10 minutes before 6:49 AM? 6:39 AM What is 586 minutes after 9:33 AM? 7:19 PM What is 675 minutes after 6:01 AM? 5:16 PM How many minutes are there between 1:41 AM and 2:06 AM? 25 What is 583 minutes after 4:21 PM? 2:04 AM What is 48 minutes before 7:17 AM? 6:29 AM How many minutes are there between 9:59 AM and 9:02 PM? 663 How many minutes are there between 8:47 PM and 9:58 PM? 71 What is 56 minutes before 11:09 AM? 10:13 AM How many minutes are there between 8:29 PM and 4:29 AM? 480 What is 588 minutes before 12:32 AM? 2:44 PM What is 320 minutes before 12:08 AM? 6:48 PM How many minutes are there between 6:34 AM and 2:26 PM? 472 How many minutes are there between 12:09 PM and 12:57 PM? 48 What is 321 minutes after 11:54 PM? 5:15 AM What is 373 minutes after 5:20 PM? 11:33 PM What is 586 minutes after 12:58 PM? 10:44 PM How many minutes are there between 3:40 AM and 10:05 AM? 385 What is 313 minutes before 4:17 PM? 11:04 AM What is 110 minutes before 9:12 PM? 7:22 PM What is 211 minutes before 7:31 PM? 4:00 PM What is 249 minutes before 8:50 AM? 4:41 AM How many minutes are there between 1:43 AM and 1:27 PM? 704 What is 481 minutes before 5:48 AM? 9:47 PM What is 249 minutes before 3:55 AM? 11:46 PM How many minutes are there between 6:50 PM and 6:45 AM? 715 How many minutes are there between 5:47 AM and 12:29 PM? 402 What is 400 minutes before 2:33 PM? 7:53 AM How many minutes are there between 9:59 AM and 8:16 PM? 617 How many minutes are there between 5:57 PM and 8:16 PM? 139 What is 167 minutes before 1:41 PM? 10:54 AM What is 631 minutes before 8:09 AM? 9:38 PM How many minutes are there between 7:47 AM and 11:44 AM? 237 What is 50 minutes before 11:58 PM? 11:08 PM What is 573 minutes before 7:26 AM? 9:53 PM What is 332 minutes before 2:53 AM? 9:21 PM What is 231 minutes before 10:30 AM? 6:39 AM What is 624 minutes before 8:47 PM? 10:23 AM How many minutes are there between 7:04 AM and 5:21 PM? 617 How many minutes are there between 11:29 AM and 12:22 PM? 53 What is 692 minutes before 1:32 AM? 2:00 PM What is 142 minutes before 9:24 AM? 7:02 AM What is 27 minutes after 11:52 PM? 12:19 AM What is 405 minutes after 6:10 AM? 12:55 PM What is 305 minutes before 1:38 PM? 8:33 AM How many minutes are there between 6:54 AM and 11:50 AM? 296 How many minutes are there between 2:08 PM and 4:55 PM? 167 What is 576 minutes before 12:56 PM? 3:20 AM How many minutes are there between 4:07 AM and 9:39 AM? 332 What is 496 minutes after 12:58 AM? 9:14 AM What is 160 minutes before 3:21 AM? 12:41 AM How many minutes are there between 12:48 PM and 8:13 PM? 445 How many minutes are there between 7:14 AM and 12:39 PM? 325 What is 564 minutes before 9:09 PM? 11:45 AM What is 191 minutes before 9:20 AM? 6:09 AM How many minutes are there between 10:22 AM and 3:08 PM? 286 What is 264 minutes after 3:51 AM? 8:15 AM What is 646 minutes after 2:07 AM? 12:53 PM What is 578 minutes before 5:43 PM? 8:05 AM What is 107 minutes after 1:17 AM? 3:04 AM What is 266 minutes before 9:11 PM? 4:45 PM How many minutes are there between 6:00 PM and 5:33 AM? 693 How many minutes are there between 6:49 PM and 4:30 AM? 581 What is 123 minutes before 6:53 PM? 4:50 PM What is 462 minutes after 7:19 PM? 3:01 AM How many minutes are there between 1:25 AM and 2:55 AM? 90 What is 660 minutes after 8:20 AM? 7:20 PM How many minutes are there between 7:11 AM and 10:42 AM? 211 What is 277 minutes after 8:03 PM? 12:40 AM How many minutes are there between 7:20 AM and 12:24 PM? 3
{ "pile_set_name": "DM Mathematics" }
15*p + 5. Let z be h(13). Let s = 22 + -43. Is s > z? False Let z(j) = -2*j**3 - 14*j**2 - 7*j - 3. Let s be z(-6). Let g be 1 + -2 + -1 - 77/s. Is g less than -28? False Suppose 0 = -47*j - 13754 - 15480. Is j <= -622? True Let h be (2/(-4))/(5 + -4). Let n(i) = i + 7. Let g be n(-10). Let l = g + 2. Is l bigger than h? False Let a = 323983/7605 - 2/1521. Which is smaller: a or 44? a Let d = -3083 - -12463/4. Does 34 = d? False Let q = 60.57 - 61. Let l = -0.43 - q. Which is smaller: l or -9/5? -9/5 Let p = -4 - -25. Let o = p - 7. Let z = 24 - o. Is z smaller than -0.1? False Let b = 1328 + -1329. Let v be -2*2/2 + -5. Which is greater: b or v? b Suppose 5*v + r - 4 = 5, -3*r = -3*v + 9. Suppose -v*t - 2 + 4 = 0. Let b be (-7)/(-39 - -4)*7. Which is smaller: t or b? t Suppose 0 = -2*n - 6, 30*w - 27*w - 3*n + 48 = 0. Are w and -1 unequal? True Let m = -7019 - -119274/17. Is m at least as big as -2? False Let l(k) = k**2 - 8*k + 10. Let i be l(7). Suppose 3*u - 20 = 4*m, -4 = -i*u - m + 6. Let o(s) = s**3 - 3*s**2 - 5*s + 3. Let f be o(u). Does f = 1? False Suppose 0 = -4*i - 0 + 4. Let m be (2/(-6))/(1105/(-780)). Which is bigger: i or m? i Let g(u) = 17*u - 427. Let w be g(24). Do w and -19 have the same value? True Let b(r) = -6*r - 1. Let i be b(-1). Let u = -5 + 8. Suppose i*g + u*a + a = -40, 0 = 3*a - 15. Is g not equal to -13? True Suppose 0 = 3*b + 3. Let m be (-4)/3*(-42)/28. Let h be (33/26 - m) + (-11)/(-22). Which is smaller: b or h? b Let q = -1.038 - -0.058. Let b = -1.02 + q. Is b > 24? False Suppose h - 3*f - 4 + 10 = 0, 24 = 4*h + 4*f. Suppose h - 2 = -o. Is 1 bigger than o? True Let h = -6 + -7. Let c = 13 + h. Let o = -0.21 + 9.21. Is c greater than or equal to o? False Let n = 99.5 - 99.8. Is 39 less than n? False Let t = -808/5 - -806/5. Which is smaller: t or 20.6? t Let u be ((-35)/21 - -1) + (-2)/(-3). Suppose u*i + i - 5*i = 0. Which is smaller: -5/36 or i? -5/36 Suppose 2*z + 2*t - 164 = 0, 4*t = 2*z - 116 - 60. Let l = z - 128. Is l greater than or equal to -43? False Let f be (1 + -8 + -1)/(-2). Suppose -3*u + 2 = -3*l - 4, f*u - l - 5 = 0. Suppose -c = -2*d + c + 16, -2*c + 17 = d. Which is greater: u or d? d Let q = 35 + -35. Suppose -t + 4*k = 23, -16 = -0*k - 4*k. Let j be (-2)/t + 30/336. Is j equal to q? False Let r(b) = -124*b - 11. Let l be r(2). Is -259 != l? False Suppose -10 = -4*x - 2*p - 8, 0 = 5*p - 5. Which is smaller: x or -1/563? -1/563 Let f = -41/77 - -9/11. Let u(y) = -2*y - 2 - 34*y**2 + 36*y**2 + y**3 - 1. Let a be u(-2). Do f and a have the same value? False Suppose 2*q + 55 = -19. Let p = -35 - q. Is p less than or equal to 4? True Let p = 2938595973488/4367 - 672909539. Let f = p + -1/4367. Let i = 115/33 - f. Is -1 greater than or equal to i? False Let h = -2.4 - -2. Let q = 0.4 + 0.8. Let x = q + -1.2. Which is smaller: h or x? h Let w = -4167 + 1513. Let l = w + 432604/163. Which is smaller: l or 0? 0 Let k = -67 - -52. Let h = k + 12. Let b be 6/(-1) - (-3 - -2). Is h at least as big as b? True Let c(n) = -n**3 + 6*n**2 + 8*n + 1. Let a = 9 - -4. Let o = 20 - a. Let f be c(o). Which is smaller: f or 0? 0 Let s = 1397 + -1082. Which is smaller: s or 314? 314 Suppose 0 = -p + 47 - 20. Let u = p - 55/2. Is -0.1 at most as big as u? False Suppose -4*g = 4*m - 292, 0 = -5*m - 0 + 10. Which is bigger: -1/2 or g? g Let f = 4 - 7. Let r = -3.05 - f. Which is smaller: r or -2/3? -2/3 Let b be -4 + 120 - (-3)/1. Suppose 2*u + 3*u = 3*z - b, -5*u - 185 = -5*z. Is z smaller than 32? False Let j = -151 + 75. Are 3 and j unequal? True Let q(v) = -v**3 - 18*v**2 + 20*v + 25. Let z be q(-19). Suppose z*a + 51 = 3*a. Which is greater: 1/2 or a? 1/2 Let x be 27/(-3) + -47 + 46. Which is greater: -11 or x? x Suppose 2*l = o + 6, 4 = -0*l - l + 4*o. Let g be 20/30 + 62/6. Suppose -l*v - g = j, 4*j - 3*v - 3 = 29. Which is smaller: j or -1/2? -1/2 Let u(p) = 5*p + 1. Let f be u(0). Is f < -2/3035? False Let k(l) = -11 + 0 + 6 - l. Let g be k(4). Which is bigger: -7 or g? -7 Let x be 9/((-144)/316)*4. Is x smaller than -82? False Let r = -1/61 - 115/427. Let z be ((-10)/(-45))/((-4)/(-1293)). Let n = z - 72. Does n = r? False Suppose k - 5*j = -k - 3, -2*k - 4*j + 6 = 0. Which is smaller: 2/931 or k? 2/931 Let p be ((-399)/(-14))/(-2*3/12). Let z = 55 + p. Is -1 equal to z? False Let z = -138 + 495/2. Let n = 549/5 - z. Is n greater than or equal to -1? True Let z = 42 + -38. Suppose 2*p + j = 0, -3*j = -p - z*p. Which is greater: p or -15? p Suppose -4*a - 1 - 3 = 4*j, -4*j - 3*a = 1. Suppose -5*k + l = -j*l - 11, -4*k - 4*l = 4. Which is bigger: 1/4 or k? k Let o(m) = -9*m + 69. Let c be o(8). Is c greater than 84? False Let k = 0 + 16. Let n(v) = v**3 - 8*v**2 + 6*v + 10. Let f be n(7). Let u be (2 - f)/((-1)/16). Is u not equal to k? False Let z = -45.884 + -0.116. Let d = 46 + z. Let m = 0.1 + 0.1. Is m smaller than d? False Let q = -1672 + 1671.8. Is 21/88 > q? True Let h = -0.457 - -0.195. Let k = h - -0.032. Which is greater: -1 or k? k Let q(x) = x**3 + 5*x**2 + 4*x - 3. Let i be q(-4). Let k be (-3)/i + 2 - 0. Suppose -2*g - 5*p = 3*g - 5, 3*g - p = k. Which is smaller: g or 5? g Let h(m) = m**3 - 2*m**2 - 2*m - 3. Let d be h(3). Suppose 0 = -n - d - 2, -4*o = -4*n - 20. Let u be -1*o*(-3)/(-9). Which is smaller: 4 or u? u Suppose 0 = -4*y + 5*b + 41 + 61, 0 = 5*y - 3*b - 134. Let n be ((-3)/(-2))/(14/y). Which is bigger: -3 or n? n Suppose -5*w + 4*n = -30, 18 = 4*w - 3*n + n. Suppose w*o - 4*k + 3 = -7, -2*o + 14 = 2*k. Which is bigger: o or 10/3? 10/3 Let z = -280.3 + 297. Which is greater: z or 0? z Let u be -7 + 8 + -3 + 3. Which is smaller: 1/139 or u? 1/139 Let r(z) be the third derivative of -5*z**4/12 + z**3/2 - 6*z**2. Let u be r(1). Which is smaller: u or -20/3? u Suppose 20 = 20*z - 16*z. Suppose 8*b = z*b. Which is bigger: 2/65 or b? 2/65 Let v = 19 - 45. Let l = -22 - v. Let d = 3 + -5. Which is greater: d or l? l Let p = -147 - -121. Which is greater: -22 or p? -22 Let r be 37 - 4/(1/(-2)*4). Which is smaller: r or 38? 38 Let m be 0/(-6) + 152/(-14). Suppose o + 37 = -3*s, -15*o = -12*o + 12. Which is greater: s or m? m Suppose -4*b - 2 = 2. Suppose 0 = -32*l + 25*l. Suppose l - 2 = -h. Is b != h? True Let o(x) = 3*x**2 - 21*x. Let l be o(7). Suppose -u - 6*u + 140 = l. Which is smaller: 19 or u? 19 Suppose -20*o = 223 + 197. Which is greater: -26 or o? o Let w = 72.9 - 90. Let y = w + 17. Is -0.5 greater than or equal to y? False Let t be (-3)/(-2) + 138/(-92). Is 7/136 bigger than t? True Let h = -0.1 - 0.9. Let g = 65.7 + -69. Let k = -3.6 - g. Is k at most as big as h? False Let a be -1 + (9 - 3/1). Let r(p) = a + 3*p - 7 - 18 - p. Let g be r(9). Which is smaller: 1 or g? g Let m = 0 - 2. Let j be (m - -4 - 3)*-8. Is -1 greater than j? False Let b = -16.9 - -17. Let m = 0.2 + 1.8. Let j = -5 + m. Is b <= j? False Let o(h) = -h**3 + 11*h**2 - 10*h - 8. Let i(m) = -2*m**3 + 17*m**2 - 19*m - 4. Let k be i(7). Let n be o(k). Which is greater: -3 or n? -3 Suppose 5*s = -2*z - 22, -3*z - s - 11 = s. Let r = z - -1. Let a be 4/(-5) + 0 - 2/(-5). Is r <= a? False Let u = 48 - 45. Which is bigger: u or 0.3? u Suppose 8*y - 10*y = -4. Let t(k) = 3*k + 14. Let z be t(10). Suppose -y*f + z = -5*l, 0 = -2*f + 2*l + 42 + 8. Is f at most 27? True Let m(s) = -4*s**2 - 21*s + 102. Let w be m(5). Which is smaller: w or 3? w Let t = -47 + 47. Let v = 12.3 + -7. Which is smaller: v or t? t Suppose 0 = -8*g - 181 + 5037. Is 606 less than or equal to g? True Let q = 313/117 + -22/9. Is q smaller than 0? False Suppose -5*b = -2*c - 858, -2*b - 3*c = -5*b + 513. Which is greater: b or 174? 174 Let j = -58.9 - -55.9. Which is greater: 4.3 or j? 4.3 Let b = -0.034 + 2.934. Let w = -2.79 + b. Let l = w + -0.31. Which is bigger: l or -1? l Let d = 25.2 - 25.8. Which is greater: d or -30? d Let o be -1*(2 - (-12)/(-3)). Suppose 0 = 3*j - 5*l - 25, -5*j + o*l - 5 = 3*l. Are j and -2 unequal? True Let o be (21/(-12) + 1)*29108/(-95). Is 230 equal to o? False Let d = -15242/13 + 1173. Which is bigger: 2 or d? 2 Let i = -988 + 987.93. Which is greater: 17 or i? 17 Suppose o + 3*o = 20. Suppose 1 = o*l - 5*v + 4*v, 3*v = -3*l + 15. Which is greater: l or -1/15? l Let u be (-60)/(-10)*(-2)/(-6). Suppose -3*
{ "pile_set_name": "DM Mathematics" }
= -6*c - a for c. -1 Let b be 301 + 5 + (-7 - -3) + 4. Let o = b + -301. Solve -4 = -o*q + 1 for q. 1 Suppose 4*t + 58 = 222. Let d = 46 - t. Solve -18 = d*g + 2 for g. -4 Let b(x) = x**2 + 2*x - 3. Let z be b(2). Let d = 4 - 0. Suppose -d*f + 6 = -2. Solve 3*q - z = -f*q for q. 1 Suppose -4*l - 5*d = l - 20, 3*l - 3*d + 12 = 0. Solve 12*g + l = -12 for g. -1 Suppose 0 = -20*l + 40. Suppose 5 = g - 5*p, l*g - 44 = -5*p - 34. Solve -7 - g = -6*b for b. 2 Let w(h) = h**3 - 12*h**2 + 3*h - 13. Let c be w(12). Let u = -23 + c. Suppose p + 5*p - 24 = u. Solve 1 + 7 = -p*t for t. -2 Suppose -5*y - 3 = -2*w, -30*y = 5*w - 29*y - 48. Solve 0 = w*g - 5*g + 8 for g. -2 Suppose -3*x = -0*x - 9. Suppose 4*t + 1 = s + 4, 4*s = -12. Let r = -11 + 11. Solve t = -k + x - r for k. 3 Suppose 2*v - 70 = 38. Suppose -214*l = -216*l - 108. Let b = v + l. Solve -2*z + 0*z + 10 = b for z. 5 Let p(g) = 4*g**2 - 10*g + 9. Let j be p(1). Suppose -n - 3 = -7, 36 = 2*a + j*n. Solve 3 = 13*x - a*x for x. 3 Let d be (17 - -229) + -2 + 3. Let n = d - 243. Solve 2*o - 2 = -n for o. -1 Let j(q) be the first derivative of -q**4/4 + 3*q**3 - 5*q**2/2 + 47*q - 186. Let y be j(9). Solve 6*x = -y*x - 8 for x. -1 Let s = 6921 + -6895. Solve -84 = -s*o + 38*o for o. -7 Suppose 16*i - 78 = -16 + 2. Solve -i*d - 16*d + 40 = 0 for d. 2 Let x(o) = 18*o - 1141. Let h be x(64). Solve -37*y = -h*y for y. 0 Suppose -19 = -6*h - 13. Let i be 3/6*8/h. Solve -i*c - 4 = -0 for c. -1 Let s(a) = 4*a**2 - 103*a - 334. Let q be s(-3). Solve -6*m + 34 = q*m for m. 2 Suppose -4*t = -5*h + 15, 37 - 28 = -4*t + 3*h. Solve -29*y + 171 - 26 = t for y. 5 Let n(k) = k - 6. Let b be n(10). Let o be b/(-8)*1*(-3 - 3). Suppose m + 4*m = 10. Solve -o*q + q = -m for q. 1 Suppose n + 6*n - 43 = 48. Solve -n*u - 4*u + 17 = 0 for u. 1 Let h(s) = 2*s - 8. Let f be h(-6). Let u be 3*(-3)/(-27) - f/12. Let w be (u - 12)*2/(-1). Solve 2*c = 7*c - w for c. 4 Let i(g) = -g**3 + 34*g**2 - 27*g - 198. Let r be i(33). Solve r = -b - b + 12 for b. 6 Let i(n) be the first derivative of -30 - 3/2*n**2 + 2*n. Let p be i(-1). Solve -9*y - 16 = -p*y for y. -4 Let g(u) = 3*u + 22. Suppose f - 2*t = -5, 2*t + 4 = -2*t. Let v be g(f). Let m be (-2)/v*(3 + -4). Solve -i = -m - 3 for i. 5 Let q(h) = -4*h**3 + 40*h**2 + 41*h + 38. Let c be q(11). Solve -c = -3*l + 7 for l. 4 Let j be 220/33*(-6)/(-2)*1. Suppose 0 = 4*h - j - 20. Suppose -4*y + 7 = 5*b - 15, -6 = -3*b. Solve y*p - 5 = h for p. 5 Let o = 19 + -11. Let z(v) = 50*v - 547. Let t be z(11). Suppose b = -4*d + 12, -o = -t*b + b. Solve 2 = d*i - 3*i for i. -2 Let r = 10713 - 10706. Solve 43 = r*m + 36 for m. 1 Suppose 0 = -18*f + 13*f. Let d = 5463 + -5463. Solve f*w - w = d for w. 0 Let u be 2 + (-13)/6 - (-4)/24. Suppose 0 = -z + c - 4, -4*z = -u*z - 3*c + 12. Solve z = 2*x + 2*x for x. 0 Let d = 853 + -555. Let m = d - 298. Solve -2*j - 7*j - 45 = m for j. -5 Let y = 22201 - 22198. Solve 39*f = 40*f + y for f. -3 Suppose 0 = -3*f + r - 47, 4*f + 2*r - 38 = 6*f. Let y(a) = 3*a + 44. Let d be y(f). Solve -d - 10 = 3*w for w. -4 Let y = -340 + 340. Suppose 13*w - 69 - 217 = y. Solve -9*f + w + 14 = 0 for f. 4 Let t be (-9)/6*((-60)/9)/2. Let f(z) = 2*z**3 - 10*z**2 + 2*z - 5. Let h be f(t). Solve -3*l - h + 8 = 0 for l. 1 Let a be (-63)/(-14)*(-3 + 1). Let b be (5 + 2/(-1))*(-6)/a. Suppose b*o = -5*v + 3 - 21, 4*o = 4*v + 20. Solve o + 3 = -4*l for l. -1 Suppose 2*m = -5*a + 43, 5*a - 91 + 45 = m. Solve -s - 2*s + a = 0 for s. 3 Suppose -5*o - 2*s = 12, -3*s - 18 = -6529*o + 6523*o. Suppose -3*g + 5 = -1. Solve o = -g*l - 2*l - 12 for l. -3 Let w = -23331 + 23331. Solve 9*f + 13*f = w for f. 0 Suppose -4*a - 5*y + 30 = 0, -7*a - 3*y + 18 = -2*a. Solve a = 56*j - 52 - 228 for j. 5 Let c = 756 - 701. Suppose y - 3 = 0, 4*y - c = 2*n - 51. Let g = 7 + 19. Solve g = n*k + 6 for k. 5 Suppose 2*z + 1106 = 9*z. Let l(o) = z*o - 78*o - 6 - 83*o. Let w be l(-2). Solve w = -y + 8 - 3 for y. 5 Let i be 0/((14/7)/(-2)). Suppose 3*z + 4*t = -14, -2*z - t + 4 - 5 = i. Solve 8 = -z*n + 6 for n. -1 Let d be (15/(-9) + 2)*6. Let l be -2*(-5)/d*1. Solve l*n = 10 + 5 for n. 3 Suppose -9077 = 19*r - 65507. Solve -3060 = 18*k - r for k. -5 Let a(h) = 4*h + 35. Suppose 36 = 6*y + 6. Suppose 0 = -5*r + 4*w - 32, 2*r + 3 = y*w - 3. Let f be a(r). Solve -2*b - f = 3 for b. -3 Let p(a) = a**3 + 23*a**2 - 170*a - 7. Let o be p(6). Solve -43*c = -o*c + 130 for c. -5 Let p(z) = z + 3. Let t be p(-6). Let q(s) = -s**3 - 2*s**2 + s - 4. Let b be q(t). Let i be (-1)/((-11)/(-2) + (-25 - -22) - 3). Solve d + b = -i for d. -4 Suppose 3*a = 4*u - 9 - 7, 3*u = -5*a + 12. Let n be u - ((-80)/4 + 4). Let w be 0*4/n - -2. Solve 5*r - w*r = 0 for r. 0 Let a = 491 + -282. Let n = 210 - a. Solve -3*u - 11 - n = 0 for u. -4 Suppose -t = -4*v - 810, 2*t + 3*t = v + 193. Let o = 208 + v. Solve 35 = 2*b + o*b for b. 5 Let b be -3*1 + 40/(-10). Let r be (b/3 - -2)*(0 + 0). Let g = r - -2. Solve g*k - 7 = -1 for k. 3 Let s = 10084 + -10004. Solve 7*p - 31 = -s for p. -7 Suppose 8*w = 302 - 238. Solve -44*d + 42*d - w = 0 for d. -4 Suppose 16 = 3*k + 2*v - 3*v, 5*k - 5*v = 40. Suppose 5*w = i - 39, -6*i - 33 = -3*w - 78. Solve 2*z = i - k for z. 0 Let y = 7274 - 7263. Solve -8*p + y + 5 = 0 for p. 2 Suppose -b + 7 = 3*w, -w - b - 2 = -3. Let y be -31 + 36 + (1 - w). Solve 0*v = -y*v - 3 for v. -1 Let z(i) = -291*i + 176. Let b be z(4). Let r = -984 - b. Solve r*q - 9 = -21 for q. -3 Suppose 0 = -2*i - 17 + 29. Suppose 10 = 4*s - 18. Suppose -p - 11 = -i*p - q, p - s = q. Solve -8 = j - p*j for j. 4 Suppose 5*f - 11 = 2*m + 8, -4*f = m - 10. Suppose -f*x + 4*n + 8 = 0, 3*n = -3*x + n - 4. Solve x*t = -2*t for t. 0 Let w(n) = 12*n - 24. Let r be w(3). Suppose 0 = r*a - 132. Solve 9 = -a*u + 2*u for u. -1 Let g(q) = -3*q - 27. Suppose 2*a - 5*f - 1 = -0*a, 0 = -5*a + 2*f + 13. Suppose -72 = 5*x + a*x. Let s be g(x). Solve 3 = -s*n - 3*n for n. -1 Let m = -95 - -119. Let f(p) = -5*p + 124. Let w be f(m). Solve -w*u + 9 = -u for u. 3 Let k = 5 + -5. Suppose k = -2*h - 3*h + 15. Suppose -5*z = 2*i - 15, 2*z + 10 = 3*i - h. Solve i*x + 3 = 2*x for x. -1 Let u = -100 + 124. Let m = -24 + u. Solve 3 = 3*c - m for c. 1 Let n(z) = -z**3 - 23*z**2 + 47*z - 74. Let s be n(-25). Suppose -a + 2*r = 0, s = -5*a + r + 28. Solve 0*q + 6 = -a*q for q. -1 Let l = -12384 - -12407. Solve l*h + 38 = 130 for h. 4 Let l(n) = 29 + 47*n + 20 + 33 - 25 + 42. Let i be l(-2). Solve -14 - 6 = i*t for t. -4 Suppose -8*d - 3*k = -4*d - 104, 3*d = 2*k + 78. Let o = 19 + -11. Suppose 2*y = r - 1, -3*y = -2*r - 2*y + o. Solve r*c + d - 6 = 0 for c. -4 Let f = 20 + -13. Suppose 5 = -y + f. Let r(k) = -19*k + 439. Let a be r(23). Solve y*n = -a - 0 for n. -1 Let x be 4/(-22) + 0 + 784/(-44). Let m = x + 22. Suppose -4 = m*v - 28. Solve 0*i = -3*i + v for i. 2 Suppose 2*c + 22 = 4*c. Let x = -19066 + 19072. Suppose -46 - 79 = -5*j. Solve j = -c*b + x*b for b. -5 Suppose 9 + 72 = 3*k. Let j be (-28)/2 + (-4000)/(-160). Solve j*h + k = 2*h for h. -3 Let y(u) = u**2 + 6*u + 6. Let s be y(-6). Let r = -4 + s. Let j be ((-4)/32*0)/1. Solve -r*g + 0*g = j for g. 0 Suppose 3*q + 0*q = 51. Let f be 7/42 + q/6. Let c(h) = -375*h - 2998. Let v be c(-8). Solve -v*r - f = -r for r. -3 Let j be ((-70)/20)/((-3)/36). Suppose u = -5*u + j. Let w = 9 - u. Solve -5 = -w*s + 3 for s. 4 Let p(w) = -5*w + 50. Let m(x) = 3*x + 21. Let v be m(-4). Let y be p(v). Solve 0*q = -y*q for q. 0 Suppose 14*b + 407 = 51*b. Solve -b*v + 2*v = -v for v. 0 Let r = -594 - -624. Solve 0 = -z - 14*z - r for z. -2 Let b(m) = 2*m**2 + 16*m - 1. Let a be b(-10). Suppose a = -4*p - 0*u - u, -2*p = -u + 21. Let c be (15/p)/((-3)/8). Solve -c*s - 4 - 4 = 0 for s. -2 Suppose -3*s = 25 - 13, -2*r - 5*s = -10. Solve -r = 838*p - 833*p for p. -3 Suppose 4*x - 4*p = -64 + 240, -3*p = 2*x - 78. Solve 35 + x = 11*t for t. 7 Suppose 0 = -6*h - 4*t + 292, -5*h - 20*t + 21*t = -252. Solve 13*u = 2 + h for u. 4 Let g be 3*4/(-24) + 645/10. Let v = g - 55. Solve -8*r - 5 = -v*r for r. 5 Let h(g) = 2*g**2 + 67*g - 1650. Let r be h(-50). Solve -b + 2*b + r*b = 0 for b. 0 Let r be (-2)/2*-13 - (-14 - 460/(-23)). Solve r*a = -25 + 74 for a. 7 Suppose -5*u - 4*i = 1530, -u - i - 306 = -4*i. Let b = u + 321. Solve o
{ "pile_set_name": "DM Mathematics" }
u be k(-8). Suppose 3*y = -5*d + 13, 2*y - y + u*d = 6. List the prime factors of ((-99)/(-18))/((-2)/y). 11 Suppose -5398 = -9*y + 1244. List the prime factors of y. 2, 3, 41 Let f(t) = 2*t**3 + t**2 - 3*t - 1. Let q be f(-2). Let p(c) = -c**2 - 7*c + 1. Let o be p(q). Let h = 3 + o. What are the prime factors of h? 2 Suppose -2*u - 12 - 4 = -4*f, -4*u - 4*f = -28. Suppose -u*t + 180 = 2*t. What are the prime factors of ((-36)/t)/((-2)/65)? 2, 13 Suppose -5*p - 4*u = -299, 239 = 4*p - u + 4*u. List the prime factors of p - (2*1 - (4 - 3)). 2, 29 Suppose a - 2*a = -3*x - 1391, 5*a = x + 6983. What are the prime factors of a? 11, 127 Let r be (35/10 - 6)/((-2)/4). Let n(i) = 8*i - 31. List the prime factors of n(r). 3 Suppose 5 + 72 = 3*n - 4*a, -125 = -5*n + 5*a. What are the prime factors of n + (2/(-2) - -2)? 2, 3 Let n = -1532 - -2820. What are the prime factors of n? 2, 7, 23 Let h = 1620 + -958. What are the prime factors of h? 2, 331 Let v = -533 - -765. What are the prime factors of v? 2, 29 Let f(r) = -2*r**2 - 10. Let c be f(4). Let w = c + 101. What are the prime factors of w? 59 Let l = -988 - -1504. List the prime factors of l. 2, 3, 43 List the prime factors of (-118)/((-4 - 2)/54). 2, 3, 59 Suppose -5*t - 3 = -4*t. List the prime factors of (8/24 - (-4)/t) + 50. 7 Suppose -5*i = 2*k - 1, -2*k - i - 3 = -0*k. Let c be k/7 + 14640/84. Suppose 2*m = -m + c. What are the prime factors of m? 2, 29 Let f = -11 - -20. Suppose 0 = -15*h + 13*h - 40. List the prime factors of h*(f/3 - 4). 2, 5 Suppose -4*m - 1 = 39. Let f = m - -195. Suppose 3*n = -2*n + f. List the prime factors of n. 37 Suppose 0 = -3*t + r + 3824, -518 = -3*t - 2*r + 3300. List the prime factors of t. 2, 7, 13 Let o(l) = -l + 35. Let q = 5 - 22. List the prime factors of o(q). 2, 13 Let s be 18/((-2)/2*-1). List the prime factors of 1005/19 + s/171. 53 Let k be -3 + 2 + -1 + 2. Suppose a + k*a - 185 = 0. List the prime factors of a/6 + 1/6. 31 Let i = -718 - -859. List the prime factors of i. 3, 47 Let n(a) = -2 - 2 - 2*a + 10. List the prime factors of n(-6). 2, 3 Let c = -2042 - -3220. List the prime factors of c. 2, 19, 31 Let b = 369 + -199. List the prime factors of b. 2, 5, 17 Let l(o) = 2*o**2 - o - 2. Let u be l(4). Let t = -26 + u. Suppose 0 = -k + q + 1, t*k + 5*q = 3*k + 3. List the prime factors of k. 2 Let d = 693 - 116. Let z = d - 379. What are the prime factors of z? 2, 3, 11 Let a(t) = -t**3 + 2*t**2 + 5*t + 2. Let j be a(-3). Suppose 3*k = 4*v + j, -2*k + k - 4*v = 0. Suppose -h + 3 = -k. List the prime factors of h. 11 Let w(c) = c**3 + c**2 + 2. Let y(o) = o**2 + 5*o + 4. Let d be y(-5). Suppose 0 = -3*m - 0*m + 4*p - 20, 5*p = d*m + 25. List the prime factors of w(m). 2 Let b(p) = -p**3 - 2*p**2 - 4*p. Let i(u) = -u**3 - 3*u**2 - 5*u. Let g(j) = -5*b(j) + 4*i(j). What are the prime factors of g(3)? 3 Suppose 5*v = -i + 3549, -9*i + 14*i - 2856 = -4*v. List the prime factors of v. 709 Let f = -2742 + 4624. List the prime factors of f. 2, 941 Let r = -15 + 20. Suppose -r*i - 3*m + 729 = 0, 0*i - 4*m = -2*i + 276. List the prime factors of i. 2, 3 Let m(r) = 5*r - 1. Let h be m(-3). Let f = 10 - h. What are the prime factors of f/3*(-1 - -7)? 2, 13 Let b(n) = 34*n - 71. What are the prime factors of b(11)? 3, 101 Let q(t) = -t**3 - 15*t**2 - 18*t + 18. List the prime factors of q(-15). 2, 3 Let p(a) = -a**2 + 4*a + 1. Let f be p(2). Suppose 549 = -f*m + 224. What are the prime factors of ((-12)/10)/(2/m)? 3, 13 Suppose 2*o - 57 - 47 = 0. Let b be ((-1428)/595)/((-1)/(10/(-4))). List the prime factors of (-3)/(b/o) + -1. 5 Suppose -x + 5*a = -427, -205 = 4*x - 2*a - 1931. Suppose -3*b = 3*g + g - x, -535 = -5*g - 5*b. What are the prime factors of g? 3, 37 Let z = 499 + -71. What are the prime factors of z? 2, 107 Suppose 1395 = 3*k + 2*u, -3*k + 1140 = u - 255. What are the prime factors of k? 3, 5, 31 Suppose 3*l = h - 7, 3*h - 2*h - 10 = 2*l. Suppose n - h + 8 = 0. List the prime factors of (n/(-12))/((-2)/75). 5 Let y(j) = j**3 + 15*j**2 + 14*j - 3. List the prime factors of y(-12). 3, 29 What are the prime factors of (-7)/2*(-24848)/56? 1553 Suppose -4*d - 5 = -85. Suppose -20 - d = -5*h. Suppose 12*j = 16*j - h. List the prime factors of j. 2 Suppose 2*n + 98 = -4*q, 0 = -4*n + 2*q - 233 + 37. What are the prime factors of 837/7 + (-21)/n? 2, 3, 5 Let b = 42 + -39. Suppose -3*t + 300 = b*w, 0*t = -5*t + 4*w + 455. List the prime factors of t. 5, 19 Suppose -3*a + 7917 = 3*n, 6*a - 3*a = 2*n - 5258. List the prime factors of n. 5, 17, 31 Let s = 31 - 28. Suppose -s*r - 3*p = 6, -r + 0*r = -p - 6. List the prime factors of r. 2 Let m(v) = -v**3 - 2*v**2 - 3*v + 3. Suppose -12 - 10 = -2*k. Let z = 7 - k. List the prime factors of m(z). 47 Let u(t) be the second derivative of 1/6*t**4 + 0 - 1/20*t**5 + 0*t**2 + 2/3*t**3 - 9*t. What are the prime factors of u(-3)? 3, 11 Let c(z) = z**2 + z - 4. Let b be c(0). Let i be -8*(b - (-30)/8). Suppose i*t + 2*t - 45 = -w, 5*w - 4*t - 129 = 0. What are the prime factors of w? 29 Let v(z) = 3*z**3 - 43*z**2 - 3*z + 38. What are the prime factors of v(18)? 2, 887 Let x be (-3)/(-4) - -7*(-9)/4. What are the prime factors of (-160 + x)/(-1 - 0)? 5, 7 Let n(c) = c - 4. Let r be n(7). Suppose 52 = -r*o + 4*o. Suppose o = 5*l + 7. List the prime factors of l. 3 Suppose -31*a - 4638 = -37*a. What are the prime factors of a? 773 What are the prime factors of 7 - (-99)/(-15) - 1203/(-5)? 241 Let d = -1388 + 2793. What are the prime factors of d? 5, 281 What are the prime factors of (-2)/(-14) - (15504/(-56) + 0)? 277 What are the prime factors of (-1427)/((-9)/(-18) - 1)? 2, 1427 Let r be (-8 - -2)*(-1)/(-9)*6. Let c(z) = 11*z**2 + z - 7. What are the prime factors of c(r)? 3, 5, 11 Suppose 2*w + 4*w = 18. Suppose -p = b - 2 - 4, -w = -p. Suppose -3*i - 5*d + 29 = 0, d = -0*i + b*i - 41. What are the prime factors of i? 13 Let h(g) = g**3 + 30*g**2 - 79*g + 5. What are the prime factors of h(-26)? 11, 433 Let i = -80 + 79. List the prime factors of (-9 + 8)*(i + 0 - 50). 3, 17 Suppose 0*n = -4*n. Let v(m) = -8*m - m + 2 - m**2 + n*m. What are the prime factors of v(-9)? 2 Let z(t) = -91*t. Let i be z(-1). Suppose i = q + r, 0*q - 2*r + 88 = q. Let o = 134 - q. List the prime factors of o. 2, 5 Let f(k) be the third derivative of k**6/120 - k**5/10 + 5*k**4/12 - 5*k**3/3 - 12*k**2. What are the prime factors of f(7)? 109 Suppose 4*i + 5*t - 98 = 2*i, 216 = 5*i - 2*t. Let k(d) = -d**2 + 3*d + 2. Let a be k(3). What are the prime factors of -2 + (i/a - 1)? 19 Let s = -33 - -356. What are the prime factors of s? 17, 19 List the prime factors of 2/(-5) - (-72)/(-40)*-3. 5 Let d(g) = -g**2 + 45*g - 123. What are the prime factors of d(31)? 311 Let a(i) = -i**3 - 13*i**2 + 13*i - 2. Let y be a(-14). Suppose 0 = -y*j + 512 + 604. List the prime factors of j. 3, 31 Let o(j) = -j**3 + 11*j**2 - 9*j - 8. Let q be o(10). Suppose q - 12 = -2*p. Suppose -p*a - 3*i = -107 - 198, -a + 43 = -3*i. List the prime factors of a. 2, 29 Let b(l) = 6*l - 20. Let o be b(11). Suppose -3*a + o = -a + 4*i, -i = -4*a + 137. What are the prime factors of a? 3, 11 Let n = 0 - -2. Suppose 2*r = -3*k - 20 - 2, -n*r - 38 = 5*k. Let u(z) = -5*z - 20. What are the prime factors of u(k)? 2, 5 Let k(q) = q**2 - 2*q - 1. Let h be k(-1). What are the prime factors of 0 - (-65 + 6/h)? 2, 31 Suppose 0 = 3*v - 16 + 7. Suppose v*z = 73 + 11. What are the prime factors of z? 2, 7 Let f(c) = -166*c**2 - 6*c - 8. Let u(y) = -55*y**2 - 2*y - 3. Let r(m) = 4*f(m) - 11*u(m). Let n be r(1). Let o = -34 - n. What are the prime factors of o? 2, 13 Suppose 3430 = 9*q - 971. List the prime factors of q. 3, 163 Suppose -3*f = 2*t - 1307, 4*f - 13*t - 1716 = -9*t. What are the prime factors of f? 433 Suppose -2*f = 3*n - 137, -5*f + 3*f + n = -149. List the prime factors of f. 73 Let k(s) = -51*s + 14. Let f(i) = -i**3 - 8*i**2 - 2*i - 18. Let y be f(-8). List the prime factors of k(y). 2, 29 List the prime factors of -5 + 0 + 364689/117. 2, 389 Let g = -71 - -73. Suppose -3*a + 2*a + 4*j + 43 = 0, 4*a - 154 = -g*j. What are the prime factors of a? 3, 13 Suppose -2*h + 25 = -25. Suppose -5*z = -5*g + h + 5, -g = -5*z - 22. Suppose -112 = -g*o - 3*n + n, 4*o - 214 = -2*
{ "pile_set_name": "DM Mathematics" }
5/6*o**3 + 0 - 2*o**2 + 2*o. Calculate y(a). 0 Let n = 18 - 16. Let h be n/16 + (-164)/32. Let a(d) = -d**3 - 5*d**2 + 2*d - 2. Determine a(h). -12 Let y(o) = -157*o + 164*o + 0 + 2 + 0. Let s be (6/(-4))/((-6)/(-8)). Calculate y(s). -12 Let w(s) be the third derivative of 1/120*s**6 + 0 + 0*s - 3*s**2 + 1/15*s**5 + 1/24*s**4 + 1/3*s**3. Calculate w(-4). -2 Let q(t) = -t**3 - 7*t**2 + 7*t - 6. Let c(v) = v**2 + 20*v + 11. Let m be c(-19). Determine q(m). 2 Let x(t) = -t**3 - 2*t**2 - 2*t - 1. Let o = 0 + 1. Let f = -1 - o. Determine x(f). 3 Suppose 3*l + 2*l = 0. Let a(o) = o**3 + 14. Calculate a(l). 14 Let p(c) = 0*c + 5*c - 4*c - 2*c. Let g(u) = -u - 2. Let n be g(-5). Give p(n). -3 Let p(k) = 9*k + 0 - 3 - 2*k - 3 - k**2. Let a be p(5). Let n(v) = v**2 - 3*v - 5. Give n(a). -1 Let s be -3 + 0/(1 - -1). Let k be (-8)/10*(s + -2). Let d(m) be the third derivative of m**5/60 - m**4/12 - m**3/3 - 3*m**2. Give d(k). 6 Let z(g) = g**3 + 6*g**2 + 7*g + 3. Let o be z(-5). Let u(b) = -b**2 - 7*b + 5. What is u(o)? 5 Let s(k) = 5*k - 1. Let m(x) = -x - 14. Let f be m(0). Let a be 4/f - 120/21. Let b(l) = -l - 7. Let w be b(a). Determine s(w). -6 Let y be (-3)/(-3) + (5 - (1 + 1)). Let b(o) be the first derivative of o**3/3 - 2*o**2 + 4*o - 6. Give b(y). 4 Let w(x) = -14*x**3 - x + 1. Suppose 2*o = 2*q + 14, 0*q = q + 1. Let i = o + -5. Calculate w(i). -14 Let d(j) = 3*j**2 - 2. Let m(l) = -65*l**2 + 45. Suppose 4 = h - 0. Let f(a) = h*m(a) + 90*d(a). What is f(1)? 10 Let p(q) be the second derivative of q**4/12 + 5*q**3/3 + 4*q**2 - 21*q. What is p(-8)? -8 Let g(d) be the third derivative of 0*d - 1/20*d**5 - 5/24*d**4 + 11/6*d**3 + 0 + d**2. Let h(f) = f**2 + 2*f - 4. Let l(r) = 6*g(r) + 17*h(r). Determine l(5). -7 Let x be (3 + -4)/((-2)/(-6)). Let s(f) = -f**3 - 5*f**2 - f - 2. Let o be s(-5). Let a(b) = 0*b**2 - 2*b**2 - o*b + b**2. What is a(x)? 0 Let k(m) = 2*m - 8. Let i be -4 + 3 + (3 - 3). Let d = i + 7. Calculate k(d). 4 Let i(o) = -o + 4. Let c(b) = -2*b + 7. Let t(w) = -6*c(w) + 13*i(w). Let j be t(7). Let n(u) = 6*u - j*u + 4*u - 3*u. Determine n(1). 4 Let k(j) be the first derivative of j**4/4 + 5*j**3/3 + 3*j**2 + 2*j + 1. Calculate k(-4). -6 Let k(j) = 22*j + j**3 + 0*j**3 + 3*j**2 - 25*j. Suppose -8 = 5*b + 12. Calculate k(b). -4 Let t(w) = 2*w + 36. Let c be t(-15). Let k(y) = y**3 - 5*y**2 - 5*y. Let l be k(c). Let v(g) = g**3 - 8*g**2 + 10*g - 6. What is v(l)? -18 Let h = 8 - 10. Let b(j) = j**3 + 3*j**2 + 3*j + 3. Let x be b(h). Let f(l) = 3*l. Calculate f(x). 3 Let c(q) = -11*q - 35. Let o(w) be the second derivative of w**3/3 + 3*w**2 - w. Let i(d) = -6*c(d) - 34*o(d). Give i(6). -6 Let h = -9 + 13. Let b(r) = r + 1. Let u(w) = -w**3 + 4*w**2 - 4*w - 2. Let t(z) = 5*b(z) + u(z). Calculate t(h). 7 Let y(n) = -n + 3. Let a(m) = -2*m + 7. Let r(l) = 3*a(l) - 7*y(l). What is r(-6)? -6 Let s(u) = -1. Let z(y) = -y + 11. Let m = 24 - 25. Let d(g) = m*z(g) + 5*s(g). Determine d(0). -16 Let g = -6 + 13. Let u(i) = -2*i + 3*i + 1 - 2*i - g. Calculate u(-7). 1 Suppose 3*z - 16 = -7. Let f = -4 - -7. Let g(r) = -1 + 2*r**2 - f*r**2 + 4. Determine g(z). -6 Let f(p) = 2*p. Let i be ((-15)/(-12))/(-1)*4. Let h be 6/(-15) - 17/i. Suppose -3*d = -6, -3*d + d = h*t + 5. Give f(t). -6 Let n(k) = -3 + 0 - 3*k + 2*k. Suppose -5*h + 3*h = 0. Give n(h). -3 Let z(f) = 20*f**3 - 2*f + 1. Let p(v) = -v**2 + 4*v - 3. Let r be p(2). Give z(r). 19 Let g(b) = 2*b + 6. Let o = -1 + 6. Let s be o*(24/(-10) - -2). Let y be 3/12*s*8. Determine g(y). -2 Let t(p) = -p + 3. Let f(a) = -3*a + a + 3*a + 3*a - 8. Let v(j) = 2*f(j) + 7*t(j). Determine v(0). 5 Let p(b) be the second derivative of -1/20*b**5 + 0*b**2 - 8*b + 1/6*b**3 + 0 + 1/2*b**4. What is p(6)? 6 Let b(q) = 2*q - 5. Suppose -9 = i - 13. What is b(i)? 3 Let d = 4 + 2. Let p be 2/d*(-5 + 5). Let i(z) = -z**3 - z**2 - 8. Determine i(p). -8 Let d(i) be the third derivative of i**6/360 - 7*i**5/120 + i**4/24 - i**3/6 + 5*i**2. Let f(m) be the first derivative of d(m). Determine f(7). 1 Suppose 4*c = -0*j - j + 6, -8 = -c + 3*j. Let o(x) = -3*x + x**c + 3*x + 6*x. Let d(y) = y**3 + 2*y**2 - y + 1. Let w be d(-3). Determine o(w). -5 Let l(i) = -i**2 + 9*i + 4. Let p(x) = -3*x**2 + 26*x + 11. Let s(z) = 17*l(z) - 6*p(z). What is s(4)? 6 Suppose 6*d - 20 = -5*b + d, b - d + 2 = 0. Let h = -6 + 8. Let k(c) = -6*c**h - 1 + 2*c**2 + 5*c**2 + 2*c. Determine k(b). 2 Let k(r) = 15*r**2 - 11. Let g(c) = 7*c**2 - 5. Let l(h) = 13*g(h) - 6*k(h). Let t(m) = -3*m**2 - m + 2. Let y(x) = -2*l(x) - t(x). Give y(3). 8 Suppose f = -8 - 0. Let v = -4 - f. Let a(b) = -b**3 + 5*b**2 - 4*b - 5. Calculate a(v). -5 Suppose -16 = 2*m - 4*c, -m - 5*c = 2*m + 2. Let v be m/6*(-108)/8. Let s = 9 - v. Let x(k) = k**3 - k - 8. What is x(s)? -8 Let i(y) = y**3 - 3*y**2 - y - 3. Let t = -13 + 18. Suppose f = 3*f - 4. Suppose -z - 4*o = -19, t + 9 = -f*z + 5*o. Determine i(z). -6 Let q be 10/4*23/460. Let a(t) be the third derivative of q*t**4 - 3*t**2 - 1/30*t**5 + 1/3*t**3 - 1/60*t**6 + 0*t + 0. What is a(-2)? 4 Let g = 0 + 2. Suppose w + g = -2*y, 0 = -5*y - 3*w - 0 - 5. Let u(j) = -4*j**3 + 2*j**2 - 1. Give u(y). 5 Let y(i) = -26*i**2 - 6*i - 11. Let f(l) = 2 + l + 0*l**2 + 0*l + 5*l**2. Let x(g) = -11*f(g) - 2*y(g). Give x(1). -2 Let r(c) = 29*c**3 + 6*c**2 + 4*c - 6 + c - 28*c**3. What is r(-5)? -6 Let j(g) be the second derivative of -2/3*g**3 + g - 1/20*g**5 + 1/2*g**2 + 0 - 5/12*g**4. Determine j(-3). -5 Suppose m - 7*m - 30 = 0. Let u(w) = -w**2 - 4*w + 7. What is u(m)? 2 Let y = 8 + -14. Let x be (4/(-12))/((-1)/y). Let i(c) = 3*c - 1. What is i(x)? -7 Let m(k) = k**3 - 3*k**2 + 3*k. Let y(f) = -6*f + 38. Let p be y(6). Give m(p). 2 Let y be (-88)/(-14) + 18/(-63). Let x(r) = r**3 - 5*r**2 - 3*r - 4. Determine x(y). 14 Let c(t) = -t + 1. Let y(q) = -q**3 + 2*q**2 - 6*q + 9. Let o(i) = 6*c(i) - y(i). Suppose -3*w - m = -1, -5*w + 5*m + 9 = -6. Let s = 2 + w. Give o(s). 6 Let o(y) = 4*y**2 - 14*y + 3. Let r(j) = -2*j**2 + 7*j - 1. Let l be 0 - (-3 + 2) - 4. Suppose -5*k = 14 + 11. Let p(w) = k*r(w) + l*o(w). Give p(4). -8 Let f = 11 - 8. Let x(o) = 3*o**2 + 0*o - o**3 + 3*o - 2*o. Determine x(f). 3 Let g(o) be the first derivative of -o**2/2 - 14. Give g(5). -5 Let j(t) be the first derivative of -4 - 5/3*t**3 + 1/4*t**4 + 5*t - 3*t**2. Give j(6). 5 Let q(a) = -4*a - 4. Suppose 0 = 4*m - 6 + 2. Let k = m + -5. Determine q(k). 12 Let a(b) = b**3 - 3*b**2 + 3*b - 2. Let l = -7 - -12. Suppose -3*f - f + 28 = 5*g, 0 = -l*f - 5*g + 30. What is a(f)? 0 Let c(f) = f**3 - 3*f**2 - 2*f. Let t(h) = h**3 - 4*h**2 - h. Let w(b) = -2*c(b) + 3*t(b). Determine w(6). 6 Let x be -3*(6/9)/(4/12). Let f(w) = w**3 + 5*w**2 - 2*w + 6. Determine f(x). -18 Let g(r) be the third derivative of r**6/120 + r**5/15 + r**4/12 + r**3 - 2*r**2. Suppose 4*w - 31 - 18 = 5*k, -2*w + 7 = k. Let c = w + -10. Determine g(c). -2 Let h(d) = -7*d. Let i be (-1)/(-3) + 20/(-15). Give h(i). 7 Let j(x) = -x**3 - x**2 + 3*x - 3. Let w be j(-3). Let u = w + -3. Let z(o) = -8 + u + o + 2. Calculate z(5). 2 Suppose -5*l + 32 = 3*a, -l - 7 - 9 = -5*a. Suppose 0 = -2*h + 2*k - 14 - l, 5*h = -3*k - 21. Let z(r) = -r**2 - 4*r + 7. Calculate z(h). -5 Let z(a) = -7 + 5 - 9*a + 4. Let t(w) = 4*w - 1. Suppose 0*m - 2 = m. Let p(g) = m*z(g) - 5*t(g). Give p(2). -3 Let l = -9 - -15. Let z(w) = -w + 8. Let r be z(l). Let m(t) = t**3 - 8*t - 3*t**2 - 3 - 4 + 7*t**r. Give m(-5). 8 Let y = -9 - -3. Let v(h) = h**3 + 5*h**2 - 6*h + 2. Determine v(y). 2 Let x(o) = -o**3 - 4*o**2 + 3*o - 2. Let m(h) = -h**3 - 5*h**2 + 2*h + 7. Let n be m(-5). What is x(n)? -20 Let n(r) = -r**2 + 3. Let m be ((-9)/(-6))/(1/2)*-1. What is n(m)? -6 Let v be (-2)/8 - (-21)/4. Let m(u) = 6 + 0*u**2 - 2*u - v*u + u**2. Let l(p) = p + 14. Let w be l(-10). Calculate m(w). -6 Suppose 2*o = -3*p - 2 + 1, p = -o. Let m(d) = d - 2*d - o + 2. Suppose -2*q = -2 + 6. Calculate m(q). 3 Let s(g) = g**3 - 4*g**2 - 5*g - 6. Suppose 0 = c - 0*i - i + 3, -3 = -4*c + i. Suppose -5*o - c*k + 25 = 0, 0 = 4*o + k + 7 - 27. What is s(o)? -6 Let b(s) = -s**2 - 9*s - 6. Let d(w) = -w**2 - 9*w - 5. Let v(u) = -4*b(u) + 3*d(u). What is v(-7)? -5 Let k(n) = 2*n**2 - 7*n - 2. Let c be k(5). Suppose 6*u - u = t + 21, -3*t = -5*u + c. Let
{ "pile_set_name": "DM Mathematics" }
ob of picking 2 y and 2 k? 3/5 What is prob of picking 2 p and 2 q when four letters picked without replacement from tqchpqhttcpcqcqthtc? 1/646 Three letters picked without replacement from tctct. Give prob of picking 1 c and 2 t. 3/5 Two letters picked without replacement from {d: 2, q: 6}. What is prob of picking 2 q? 15/28 Two letters picked without replacement from wnpnvnvnwwpvprpwhpp. Give prob of picking 1 v and 1 n. 4/57 Two letters picked without replacement from {k: 2, l: 5}. What is prob of picking 2 l? 10/21 Calculate prob of picking 3 j and 1 v when four letters picked without replacement from jtttttttjtjvjtjtvtt. 5/969 Three letters picked without replacement from fqfqqqiqf. What is prob of picking 3 f? 1/84 Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {l: 2, v: 1, e: 5, d: 1, m: 7}. 1/24 Three letters picked without replacement from mumaaammmmmaamum. What is prob of picking 1 a and 2 m? 9/28 Four letters picked without replacement from {z: 3, m: 5}. Give prob of picking 2 m and 2 z. 3/7 Two letters picked without replacement from tyyyxvtvtvexxle. What is prob of picking 1 x and 1 v? 3/35 Three letters picked without replacement from nnoovnoononnnnononon. Give prob of picking 3 o. 14/285 Three letters picked without replacement from {e: 6, l: 6, w: 7}. Give prob of picking 2 w and 1 l. 42/323 Four letters picked without replacement from xremmeeereemzrmmv. What is prob of picking 2 e, 1 x, and 1 m? 15/476 Calculate prob of picking 1 f, 2 o, and 1 e when four letters picked without replacement from {b: 2, l: 2, h: 4, o: 5, f: 1, e: 1}. 2/273 Two letters picked without replacement from jej. Give prob of picking 1 e and 1 j. 2/3 Four letters picked without replacement from azazxk. What is prob of picking 2 z, 1 k, and 1 x? 1/15 Two letters picked without replacement from {j: 16, i: 4}. Give prob of picking 2 i. 3/95 Calculate prob of picking 2 y when two letters picked without replacement from yyyyyhyyyyyyhyhyyy. 35/51 Three letters picked without replacement from {i: 2, h: 2}. Give prob of picking 2 h and 1 i. 1/2 Two letters picked without replacement from {r: 2, z: 8}. What is prob of picking 2 z? 28/45 Calculate prob of picking 2 p when two letters picked without replacement from dwpppndpnndpd. 5/39 Three letters picked without replacement from hqddqdhddhqqq. Give prob of picking 2 h and 1 q. 15/286 Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {p: 1, r: 2, x: 1, u: 1, k: 2, v: 2}. 1/9 What is prob of picking 2 b and 2 z when four letters picked without replacement from bkzzbbszzk? 3/35 What is prob of picking 2 s, 1 q, and 1 f when four letters picked without replacement from {s: 3, x: 1, q: 1, f: 5, v: 1}? 1/22 Three letters picked without replacement from {x: 1, b: 2, o: 1, a: 1, u: 2}. What is prob of picking 1 b, 1 o, and 1 x? 2/35 Calculate prob of picking 3 h and 1 a when four letters picked without replacement from aahhahaahaaah. 16/143 What is prob of picking 2 h and 2 f when four letters picked without replacement from kyxmfxfmmxymxxmhfy? 0 Two letters picked without replacement from {b: 3, s: 1, d: 3, o: 1, z: 2, t: 1}. Give prob of picking 1 o and 1 t. 1/55 Two letters picked without replacement from {a: 6, l: 4}. Give prob of picking 2 a. 1/3 Four letters picked without replacement from {g: 1, z: 4, o: 2, c: 1}. What is prob of picking 4 z? 1/70 What is prob of picking 2 r when two letters picked without replacement from trtvrrr? 2/7 What is prob of picking 2 v when two letters picked without replacement from vjjvjjjjjvjvjjjjjjjv? 1/19 Two letters picked without replacement from {p: 4, a: 9, c: 4}. Give prob of picking 1 p and 1 c. 2/17 Three letters picked without replacement from {b: 5, s: 5, i: 8}. What is prob of picking 1 b, 1 s, and 1 i? 25/102 What is prob of picking 1 h and 1 r when two letters picked without replacement from {y: 2, g: 1, h: 4, r: 9, w: 3}? 4/19 What is prob of picking 1 x and 1 v when two letters picked without replacement from {l: 4, q: 1, x: 2, v: 1}? 1/14 Two letters picked without replacement from uuuuhkpkkappuhpukus. What is prob of picking 1 a and 1 s? 1/171 Three letters picked without replacement from {z: 6, w: 2}. What is prob of picking 3 z? 5/14 Calculate prob of picking 1 h and 1 v when two letters picked without replacement from vqvzddh. 2/21 Calculate prob of picking 1 s and 1 g when two letters picked without replacement from {b: 3, g: 1, s: 2, i: 1}. 2/21 What is prob of picking 1 v, 1 j, and 1 n when three letters picked without replacement from {i: 3, v: 2, g: 1, n: 2, j: 2, r: 2}? 2/55 What is prob of picking 2 t and 2 d when four letters picked without replacement from ddqtdttttq? 1/7 Two letters picked without replacement from emgemmgm. Give prob of picking 2 g. 1/28 Four letters picked without replacement from qxqqxqxq. What is prob of picking 4 q? 1/14 What is prob of picking 2 b and 1 i when three letters picked without replacement from {i: 13, b: 6}? 65/323 Calculate prob of picking 1 o and 1 s when two letters picked without replacement from soyoyossosc. 16/55 What is prob of picking 1 y and 3 n when four letters picked without replacement from yyynnynyny? 4/35 Calculate prob of picking 1 f and 3 k when four letters picked without replacement from fffkfffffffff. 0 Three letters picked without replacement from xxxnxxxnxxuxxxxnx. What is prob of picking 2 n and 1 x? 39/680 Four letters picked without replacement from xwvvvvvvxvwxvwvw. What is prob of picking 1 w, 1 x, and 2 v? 108/455 What is prob of picking 1 q and 2 t when three letters picked without replacement from {n: 3, u: 3, q: 1, t: 4}? 2/55 Three letters picked without replacement from gygyygy. Give prob of picking 2 y and 1 g. 18/35 Two letters picked without replacement from zczzqzcczzqz. What is prob of picking 1 z and 1 c? 7/22 Four letters picked without replacement from qqqqyyyyyq. What is prob of picking 2 y and 2 q? 10/21 Three letters picked without replacement from yydyyyykyyyyyyyy. What is prob of picking 2 d and 1 y? 0 Two letters picked without replacement from {x: 1, f: 1, k: 3, b: 5}. Give prob of picking 1 x and 1 b. 1/9 What is prob of picking 1 r and 1 a when two letters picked without replacement from rba? 1/3 What is prob of picking 1 j and 1 o when two letters picked without replacement from djdjqjdqjdqdydoqo? 1/17 Four letters picked without replacement from gxgbggbgx. What is prob of picking 2 b and 2 x? 1/126 What is prob of picking 1 d, 1 g, and 1 r when three letters picked without replacement from {u: 1, d: 1, g: 2, k: 2, r: 1, o: 1}? 1/28 Two letters picked without replacement from {w: 2, n: 6}. What is prob of picking 2 w? 1/28 Four letters picked without replacement from zitttzfztztz. What is prob of picking 1 i, 2 t, and 1 z? 10/99 Four letters picked without replacement from {k: 1, e: 1, b: 4, z: 2, n: 3}. What is prob of picking 1 n, 2 b, and 1 k? 3/55 Calculate prob of picking 1 j, 1 x, and 2 m when four letters picked without replacement from {m: 2, j: 4, x: 1, w: 7}. 4/1001 Calculate prob of picking 3 f and 1 a when four letters picked without replacement from ufuafbfff. 5/63 Two letters picked without replacement from jjjjjjjjyjjj. Give prob of picking 2 j. 5/6 Calculate prob of picking 1 s and 2 o when three letters picked without replacement from fssfssfsssfsfsfso. 0 What is prob of picking 1 t and 1 v when two letters picked without replacement from jmpvpmmvvvsjjpppsmts? 2/95 Calculate prob of picking 2 z when two letters picked without replacement from {z: 3}. 1 Calculate prob of picking 1 d, 1 o, and 1 b when three letters picked without replacement from gdzzzzbozzzz. 1/220 Four letters picked without replacement from gaatagwgagwgwgagag. What is prob of picking 1 t, 1 a, and 2 w? 1/170 Two letters picked without replacement from qppqqqfppq. What is prob of picking 2 p? 2/15 Two letters picked without replacement from {x: 1, h: 1, l: 1, w: 1, c: 1, r: 2}. What is prob of picking 1 x and 1 l? 1/21 What is prob of picking 1 m and 2 s when three letters picked without replacement from {x: 4, n: 3, s: 4, i: 3, m: 2}? 3/140 Calculate prob of picking 2 f when two letters picked without re
{ "pile_set_name": "DM Mathematics" }
hundred thousand. 3200000 Let a = -270280155954.999998932 + 270280155369. Let j = 586 + a. What is j rounded to 7 decimal places? 0.0000011 Let b = 1553.05 - 0.05. Let a = b - 1627.9. Let d = a - -73. What is d rounded to the nearest integer? -2 Let n be (-2007200)/6*((-10017)/954 + (-18)/2). What is n rounded to the nearest 100000? 6500000 Let f = 1118 + -1118.000004216. Round f to 6 dps. -0.000004 Let u = 9.8722 - 0.0722. Let a = 180.841 - 170.9989. Let w = a - u. What is w rounded to three dps? 0.042 Let o = -0.29 + 0.3032. Let g = -87052 - -87051.9867446. Let f = g + o. Round f to 6 dps. -0.000055 Let n = 3650.000002009 + -3650. What is n rounded to six dps? 0.000002 Let t be (52 - -4)/(-8) + 3. Let x be 2/(-17) + 6872/34 + t. Round x to the nearest ten. 200 Let u(o) = 3*o**2 - 3*o + 18. Let a be u(0). Suppose 5208 - 21858 = -a*x. Round x to the nearest 100. 900 Let o = 8056 - 8102.066. Let i = 46 + o. Round i to 2 decimal places. -0.07 Let q = -457721858.180991 + 581.180991. Let u = q + 457721210.00000172. Let w = 67 + u. What is w rounded to 6 decimal places? 0.000002 Let s = 696 - 679.14. Let z = 21.344 - s. Let m = 0.036 + z. What is m rounded to 1 decimal place? 4.5 Let n = 127.64 + -132. Let o = n + 4.2. Let j = -1.11 + o. What is j rounded to 1 dp? -1.3 Let v = -0.965 - -0.964996088. Round v to six decimal places. -0.000004 Let o = -5.4423975007 - -5.4424. What is o rounded to 6 dps? 0.000002 Let x = 598 + -598.00002437. What is x rounded to 6 decimal places? -0.000024 Let y = -0.087197 - -0.037194. Let v = -0.05 - y. What is v rounded to six decimal places? 0.000003 Suppose 37 - 7 = n. Suppose n*p - 6471000 = 21*p. Round p to the nearest 10000. 720000 Let i(x) = -11*x + 42. Let u be i(3). Let r be (279750/u)/((28/960)/7). What is r rounded to the nearest one hundred thousand? 7500000 Let z(o) = o**2 + 3*o - 18. Let u be z(0). Let v(l) = -23*l**2 - 8*l - 92. Let k be v(u). Round k to the nearest 100. -7400 Let u = -162.46 - -176.481. Let q = u + -14. Let l = -0.02256 + q. What is l rounded to 4 dps? -0.0016 Let v = -3 - 232. Let k = v + 235.2846. What is k rounded to 2 decimal places? 0.28 Let o = -82.43 - -82.4299976855. Round o to 7 dps. -0.0000023 Let p = -3039 + 3102.36. Let x = p - -8.65. What is x rounded to the nearest ten? 70 Let m = -22.83 + -0.17. Let k = m + -24. Let l = -46.99995 - k. Round l to 4 dps. 0.0001 Let n = 6706 - 6380.44. Let o = n + -4.56. Let l = o - 322.49. Round l to 1 decimal place. -1.5 Let a = 0.1 - 0.8. Let z = 1452.690286 + -1453.39. Let b = a - z. What is b rounded to 4 decimal places? -0.0003 Let w = -40.4 - -38.52. Let o = -1.880206 - w. What is o rounded to 5 decimal places? -0.00021 Let u(y) = -45361*y**3 - 5*y**2 + 2*y + 10. Let q(i) = -6*i**2 - 22*i + 1. Let b be q(-7). Let l = 134 + b. Let d be u(l). Round d to the nearest 1000000. 6000000 Let c = 7.41 - 545.41. Let w = c - -537.993461. Round w to 4 dps. -0.0065 Let h = -2440.9 + 2440.949458. What is h rounded to two decimal places? 0.05 Let a = -709.71014 - 6.75186. Let y = a - -717. What is y rounded to 1 decimal place? 0.5 Let v = -442.95 + 2.95. Let j = v - -446.52. What is j rounded to zero dps? 7 Let a = -1487 - -1480.605. Round a to the nearest integer. -6 Let g = -141797 - -295127. What is g rounded to the nearest 10000? 150000 Let o = 0.016 - -0.984. Let c = 1.014 - o. Let l = c - 0.01496. Round l to four dps. -0.001 Let c = -65467463997.10470657 - 522.89529343. Let l = -65467464264.000000788 - c. Let q = -256 + l. Round q to 7 decimal places. -0.0000008 Let v = -28.6 + -14.4. Let j = -1.1298 + -41.86924. Let a = v - j. Round a to 4 decimal places. -0.001 Let d be (2 - 0) + (-87)/(-29). Let q(w) = -2 + 9*w + w**3 + 3*w - 3*w - 6*w**2. Let i be q(d). What is i rounded to the nearest 10? 20 Let r be ((-2 + 2)*8/(-32))/(-1). Suppose 24 = -12*s - r. Let i be (1185/9 - 1)/(s/(-600)). Round i to the nearest 1000. 39000 Let s = 13690.006481 - 13690. What is s rounded to 4 decimal places? 0.0065 Suppose 94*k = 117*k. Suppose 2*n - 5*n - 12 = k, -2*n + 51992 = -h. Round h to the nearest 10000. -50000 Let a be 252/112 - (-33889191)/4. What is a rounded to the nearest 100000? 8500000 Suppose 2*b - 3 = 5, -5*d - 3*b = 316888. Let h = 169580 + d. Round h to the nearest 10000. 110000 Let x = 0.44 - -32.56. Let i = -93 + x. Let s = -59.998 - i. What is s rounded to four dps? 0.002 Let p = 10.4133 - 5192.5133. Round p to the nearest one thousand. -5000 Let d = -45.077 + 45. Let t = -5.81 - -5.844. Let x = d + t. What is x rounded to two decimal places? -0.04 Let r = -11663752.26999956 + 11663752. Let t = 0.67 - 0.4. Let p = t + r. Round p to 7 dps. 0.0000004 Let y = 2508121349.79999558 - 2508121870.8. Let i = y - -521. What is i rounded to seven decimal places? -0.0000044 Let j = 20520368 - 29416368. Round j to the nearest 100000. -8900000 Let n be 1399548 - 51 - 3/(-1). Round n to the nearest 100000. 1400000 Let l = 22.6370010278 + -22.637. What is l rounded to seven dps? 0.000001 Let f(i) = 6112*i**3 - 4*i**2 + 5*i - 7. Let z be f(3). Suppose -3*c - 137184 - 27818 = -l, 0 = 3*c + 2*l + z. What is c rounded to the nearest ten thousand? -60000 Let b = 5098054.10799921 - 5098054. Let c = -0.108 + b. What is c rounded to six dps? -0.000001 Let q = 4121206 + -2768118. Suppose -2*t - q = -17088. Round t to the nearest 10000. -670000 Suppose 45*v - 44*v - 26539 = 0. Suppose b + 1054 - v = 3*d, -2*b = 2*d - 51010. Round b to the nearest one thousand. 26000 Let q = -39.9596 + 38.239581. Let m = q - -1.72. What is m rounded to 6 decimal places? -0.000019 Let v = 0.09 - 291.09. Let g = 334.1 + v. Let q = g - 43.0999753. What is q rounded to 5 dps? 0.00002 Suppose 0 = -406*b - 13886072935 - 7310781065. What is b rounded to the nearest 100000? -52200000 Let g = -8118 + 15479. Suppose 12*p = -1759 - g. Round p to the nearest 100. -800 Let y = -490 + 590. Suppose 4996 = -9*a + y. Round a to the nearest one hundred. -500 Let m = -71056 + 71056.0000036901. Round m to seven decimal places. 0.0000037 Let d = -4.22 - -4.813. Let g = 0.7027 - d. Round g to 2 decimal places. 0.11 Let w = 12271652 - 3090690. Let h = -14626962 + w. What is h rounded to the nearest one million? -5000000 Let i = -2795.834837 + 1004.83402. Let r = -1791 - i. Round r to four decimal places. 0.0008 Suppose -2*q + 1 = 5*n, -5*q - 10 = -0. Suppose 2*p - b = -n, 0*p + 4*b = -3*p + 26. Suppose p*g + 1349000 = g. Round g to the nearest one hundred thousand. -1300000 Let w be ((-5)/(-2))/(230/4194096). What is w rounded to the nearest 1000? 46000 Let v = 19249.697144420159 + -465093559.697142370159. Let r = v + 465074331. Let a = r + -21. What is a rounded to seven decimal places? 0.0000021 Let o be 2 - 2 - -9 - (6 + -3). Let i be 4 - -2 - o*696. What is i rounded to the nearest 1000? -4000 Suppose 0 = 2*x - 17 - 7. Let h be (-5 + 4)/(4/x). Let a be 3/(1539/(-510) - h). What is a rounded to the nearest one hundred? -200 Suppose -7*a - 104 = -9*a. Suppose a = -2*q - 11*q. Let d be (0 - 4601/q) + (-1)/4. Round d to the nearest one hundred. 1200 Let c = -0.141 - -10.041. Let z = c + 148.1. Let g = z - 157.99999783. What is g rounded to 7 decimal places? 0.0000022 Let g(z) be the third derivative of 3199*z**4/12 - 5*z**3 + 102*z**2. Suppose 3*o - o + 30 = 0. Let f be g(o). Round f to the nearest 10000. -100000 Let h = -142021.772 + 141700. Let x = -322 - h. Round x to 1 decimal place. -0.2 Let q = -139.940852309 + -0.058725691. Let j = q - -140. What is j rounded to 4 dps? 0.0004 Suppose -2*i = -5535 - 2069. Suppose 0 = -3*z - 3, i = l - 7*z + 5*z. What is l rounded to the nearest 100? 3800 Suppose -a - 19365 = -2*d, -3*a - 15621 = -3*d + 42474. Let b = 1470 - -65. Let p = a - b. What is p rounded to the nearest 10000? -20000 Let i = 1800.9037 + -1801. Let c = i + -1.6577. What is c rounded to one decimal place? -1.8 Suppose -3*g = 3*s - 102464973, -3*g + 102464991 = s - 4*s. Let v = g - 23344994. Round v to the nearest 100000. 10800000 Suppose -j + 38860 = 4*j. Let l = -11522 + j. Round l to the nearest 100. -3800 Suppose 975398 - 5313866 = -68*b. Round b to the nearest 10000. 60000 Suppose 47*w = 52*w + 10. Let x be (-2)/(0 + w) + 0 + -36400001. Round x to the nearest one million. -36000000 Let z
{ "pile_set_name": "DM Mathematics" }
ose 5*g - 3 = 2*g. Let n be w(g). Let u = -53 - -53. Solve n*a - 4 - 6 = u for a. 2 Let n(o) = o**3 + 18*o**2 - o - 19. Let m be n(-18). Let h(l) = l**2 + l. Let c be h(m). Suppose 0 = -7*a + 3*a. Solve c = -a*y + 2*y + 2 for y. -1 Suppose 0*p - 31 = -2*p - 5*w, 2*p - 21 = -3*w. Let f be 9/6*112/21. Solve -2 = -p*u - f for u. -2 Let g = -5 + -13. Let h = 29 + g. Let t be (-2)/(-8) + h/4. Solve -l = -t*l for l. 0 Let q = -169 + 171. Solve -q*a - 6*a - 16 = 0 for a. -2 Let j = -48 + 37. Let b(y) = 4*y - 7. Let z be b(5). Let o = z + j. Solve 0*x = o*x - 4 for x. 2 Let y be 6/(-15) - 35/(-25). Let r be (-6)/4*(0 + y)*-2. Solve -4 = r*n + n for n. -1 Suppose 0 = -89*m + 101*m - 96. Solve 3*d + m = 5*d for d. 4 Let j(h) = h**3 + 3*h**2 - h + 1. Let w be 0/5 + (-1 - 2). Let z be j(w). Suppose -2*d = -6, -11 = z*s - 2*d - 29. Solve -s = -3*v - 0 for v. 2 Suppose 170 = 15*p - 10*p - 5*y, 0 = -p - 4*y + 34. Solve -p + 30 = 4*f for f. -1 Suppose 0*r = r + o - 3, -5*r + 19 = 3*o. Solve 3*f - f = -r*f for f. 0 Let n = 394 + -393. Solve 11 = -4*h - n for h. -3 Let a = -17 + 17. Suppose 3*r + 0 + 27 = a. Let w be (-60)/r*(-30)/(-25). Solve -2*l = 2*l - w for l. 2 Let c be 10*(-3)/(-12)*48/60. Solve -3 = i - c for i. -1 Let t(x) = 3 - 181*x + 2 + 0 + 182*x. Let q be t(1). Solve 0 = -s + q*s - 10 for s. 2 Suppose 3*m - 136 = -2*n, 0 = m + 2*n + n - 57. Let j be (-15)/7 + 2 - (-216)/m. Solve -7 + 27 = -j*b for b. -4 Suppose -11*k = -2*i - 8*k, 8 = 2*i + k. Solve -2*m = -3*m + i for m. 3 Let d(g) = 4*g**2 + 14*g - 1. Let w be d(-4). Solve 4*o - w*o = 0 for o. 0 Let f(w) = -2*w**3 - 65*w**2 + 33*w. Let t be f(-33). Solve -4*d - 3*d + 7 = t for d. 1 Let f be (3/12)/((-2)/(-24)). Suppose -3*k = -n - 12, -f*k + 10 = -4*k + 5*n. Solve 0 = k*i + 33 - 8 for i. -5 Let f(p) = 2*p**2 + 7*p - 14. Let h be f(2). Solve -h*c + 4 + 4 = 0 for c. 1 Let g(b) = -b**3 + 2*b + 1. Let w be g(-2). Suppose 2*l - 4 = 0, -3*d - l - 13 = -33. Suppose -15 = -4*y - 7. Solve -w*j - d = -y*j for j. -2 Let u = 136 - 130. Let b be (1 - (10/12 - 0))*u. Solve 0 = -t + 2*t + b for t. -1 Let j = 22 + 19. Suppose -j = 4*i - 1. Let g = i - -10. Solve 0 = -g*n + 2*n + 6 for n. -3 Suppose 3*q - 3*d - 19 = -d, 5*d - 56 = -4*q. Suppose -2*b + 7 = c, -4*b + 2*b - 3*c = -q. Solve b*k = 2*k for k. 0 Suppose 0 = 10*o + 21*o - 62. Solve o*p - 6*p = 20 for p. -5 Let c = -31 + 59. Suppose -6*w + 32 = -c. Suppose 2*h = h + w. Solve 6*a - h = a for a. 2 Let z(u) = u**3 - 3*u**2 - 4*u + 17. Let y be z(3). Solve -y*q = -2*q + 12 for q. -4 Let j(u) = -3*u + 75. Let o be j(21). Solve -7*v - o = 23 for v. -5 Let g(w) = -w**3 - 14*w**2 - 11*w - 1. Let f be g(-13). Let y = f + 28. Solve 4*n + 21 = y for n. -5 Suppose 4 + 8 = 4*x. Suppose 0 = -g + l - 2 + 4, 2*g = x*l + 3. Suppose -9 = -g*w, 2*a = -0*a + 4*w + 6. Solve 1 = 4*j + a for j. -2 Let c(r) be the third derivative of 5*r**4/24 + r**3/6 - 3*r**2. Let g be c(-1). Let b = g - -7. Solve b*a + 6 = 9 for a. 1 Let j = -33 - -27. Let y = j - -9. Solve 2*s = -7 + y for s. -2 Suppose -3*k + 90 = 6*k. Solve -c + 6 = k for c. -4 Suppose -5*n + 44 + 6 = 0. Let a = n + -16. Let x = -2 - a. Solve 6 + 6 = -x*v for v. -3 Let t = -667 - -676. Solve 0 = 8*l + l + t for l. -1 Let f = -1870 + 1882. Solve 130*h = 134*h + f for h. -3 Suppose 0 = -2*d - 5*g + 2 + 5, -4*g + 56 = -4*d. Let u = d + 9. Suppose 2*o = -u*o + 4. Solve y - o*y = 0 for y. 0 Suppose 0 = -5*c - 4*c + 18. Let r be (14/(-98))/(c/(-14)). Solve 3*w + 11 + r = 0 for w. -4 Suppose 22 = 15*q - 83. Solve k = q*k + 18 for k. -3 Let p be (-4)/(-16) - (-265)/(-4). Let y = p + -6. Let v be (-22)/(-12) - 12/y. Solve 0 = s - v + 4 for s. -2 Let r = -276 + 280. Solve u + r*u = 0 for u. 0 Let l be (-8)/(-12)*-6 + 0. Let p be (-90)/(-40) - (-1)/l. Suppose 4*f - 4 = 0, -3*m - 3*f - f + 4 = 0. Solve p*x = -m*x - 6 for x. -3 Suppose -36*w = 5*w - 4 + 4. Let g = -26 + 104. Let u = g + -54. Solve -5*o - u + 9 = w for o. -3 Let v = 30 + 111. Suppose 0 = -v*p + 140*p + 6. Solve 3*w + p = w for w. -3 Suppose 410 = -g - 4*g. Let q = g + 82. Solve 0 = 3*z - q*z + 15 for z. -5 Suppose 4*s + 4 = 16. Suppose v - 4*h - 13 = 4, h + s = 0. Solve 8 = -w + v*w for w. 2 Suppose -3*n + 6*n + 3*k = 15, 2*k = 2*n - 30. Solve 0 = -2*p - n for p. -5 Suppose s + 3*x = 6*x - 22, 0 = -3*s - 5*x - 94. Let d = 44 + s. Let l = 9 + d. Solve -k - 4*k = l for k. -5 Suppose 0 = a, 12*s = 15*s + 2*a - 84. Solve -s = 5*v + 2*v for v. -4 Let b be ((-7)/(-3) + 1)/((-3)/9). Let r(w) = w**3 + 10*w**2 + w + 14. Let t be r(b). Solve 2*h = 14 - t for h. 5 Suppose 3*c + c + 6 = 5*u, -5*u + 2*c + 8 = 0. Suppose 0 = u*s - 0 + 2, -4*l + 25 = -s. Solve l*z - z = -5 for z. -1 Let v(d) = -d + 42. Let l be v(-8). Let p be l/4 + (-6)/4. Let u be (-2 - -1)/1 - -5. Solve 9 = u*w - p for w. 5 Suppose 5*j + 4 = 2*q, 0 = -2*j - 0*q - 3*q + 6. Solve -2*l - 5*l - 21 = j for l. -3 Let h(n) = n**3 - 9*n**2 + 13*n - 14. Let v be h(7). Let o = v + 21. Let x be -2 + (1*10 - 2). Solve o = -x*u + 3*u for u. 0 Let q = 78 - 76. Let i(p) = 8*p. Let g be i(q). Solve 2*y + 2*y + g = 0 for y. -4 Let m = 13 + -10. Suppose -8 = -s - 3*s. Solve -m*b = s*b for b. 0 Suppose 4*g = g + 5*g. Suppose 3*h - 4*h + 5 = g. Solve -h*r = 1 + 19 for r. -4 Let r = 6 + 8. Let o = r + -4. Let y = -131 + 136. Solve y + o = 3*s for s. 5 Let g(k) = -3*k**2 - 3*k. Let v be g(-6). Let o be (-8)/28 + v/(-21). Solve -o*r + 9*r = -5 for r. -1 Let c = 27 - 47. Let f = c + 21. Solve -2*x + f = 11 for x. -5 Suppose -2*h = 5*t - 11, -5*t + 2*h + 19 = -0. Solve 3*v + t = 2*v for v. -3 Let m be -6 + 1 + 25 + -16. Suppose -j - 1 + 2 = c, 3*c = m*j - 11. Solve 0 = k + j - 1 for k. -1 Let h = -33 + 31. Let z be (-1)/h*42/1. Suppose u - z = -2*u. Solve 4*y + 5 = -u for y. -3 Let z(h) = -h**3 - 24*h**2 - 49*h - 110. Let b be z(-22). Solve b = -23*t + 29*t + 12 for t. -2 Let r(h) = -h**3 + 8*h**2 - 3*h + 8. Let p be r(0). Solve 2*s + p = -6*s for s. -1 Suppose 4*d = 3 + 5. Suppose -d = n + 2*g - g, 12 = -4*n - 5*g. Solve -n*h = 2*h for h. 0 Suppose 14 = 3*k + u + 1, 0 = k - 5*u + 1. Solve 31*q = 32*q - k for q. 4 Let u(j) = j + 4 + 3*j + 0*j - j**2. Let n be u(3). Suppose m = r + 2*r - n, 12 = 2*r + 3*m. Solve -13 = 4*f + r for f. -4 Let a = -171 - -175. Solve -3*b + a*b = 5 for b. 5 Suppose 2*o + 0*o + 2*j - 68 = 0, 140 = 4*o + 5*j. Solve -4*q + 10*q - o = 0 for q. 5 Suppose 7*i = 9*i - 2. Let g be (2 + (0 - 2))/i. Suppose 0 = z - g*z - 2. Solve z*l = 6*l for l. 0 Let o(t) = -2*t**3 - 2*t**2 - 2*t - 6. Let s be o(-2). Let g = 8 + -6. Let j = 1 + g. Solve s*d - 3*d = j for d. 1 Let v(u) = u**3 + 8*u**2 - 10*u - 7. Let x be (3 + 0)*2*(-6)/4. Let f be v(x). Solve -11 = -f*t - 1 for t. 5 Let h(s) = s**3 - 3*s**2 - 6*s - 3. Let f be h(5). Solve 5*z - f = -2 for z. 3 Let a(w) = -w**3 - 17*w**2 - 17*w - 13. Suppose 4*y - 5*p + 69 = 0, y + 3*y + 5*p = -59. Let u be a(y). Solve -u*o = o for o. 0 Suppose 1 + 5 = -3*i. Let d be (i - 0)/2 + 1. Suppose d*l = 5*l - 20. Solve -l*p - 15 = -3 for p. -3 Suppose 3*a = f + 13, -4*a - 3*f + 4*f + 16 = 0. Let w be 2 + 0 + -3 + a. Solve -20 = -w*m - 3*m for m. 4 Let j = 257 + -250. Solve -34 = j*v + 1 for v. -5 Suppose 2*g + 40 = -3*g. Let u = 10 + g. Let f = u - -2. Solve 0 = -2*o + f*o for o. 0 Let r(m) = 14*m - 23. Let s(g) = 5*g - 8. Let d(f) = -6*r(f) + 17*s(f). Let c be d(2). Solve 0*v + v - c = 0 for v. 4 Suppose 15 = 4*k - x, -2*k - x = -4*k + 9. Solve 7*f - k = 10*f for f. -1 Let c = 771 - 763. Solve -25 = -c*b + 3*b for b. 5 Let k be (-4 - (-1)/4)*(-40)/6. Solve -k - 5 = 6*g for g. -5 Suppose -c = 5*n - 18, 0*n = c - 2*n + 10. Let z = c + 2. Solve h - 8 + 4 = z for h. 4 Suppose -w - 13 = 4*d, -4*w + 3*w - 5*d - 15 = 0. Let q be (1*(w + 6))/((-1)/(-2)). Solve -a = -q*a for a. 0 Let b(h) = -6*h - 5. Let j be b(-6). Suppose 4*l = 3*y + j, -4*l + y + 21 = -0*l. Let z be (-64)/48 - l/(-3). Solve c + z*c = -2 for c. -2 Suppose 4*p = 9*p - 7*p. Solve 20 = -4*n - p for n. -5 Let m = 48 - 45. Suppose 0 = -0*j - m*j + 18. Solve -2*a + j = -0 for a. 3 Let z(l) = l + 14. Let r be z(-6). Let i = 1362 + -1359. Solve -r = -i*g + 1 for g. 3 Let l(j) = -j**2 + 11*j - 22. Let p be l(5). Solve 0 = 5*x + 12 + p for x. -4 Let x(o) be the first derivative of -o**4/4 - o**3 + 5*o**2/2 + 7*o - 1. Let g be x(-4). Solve
{ "pile_set_name": "DM Mathematics" }
76775, 76811, 76871, 76961, 77087, 77255? 77471 What comes next: -220, -340, -540, -820, -1180, -1620, -2140? -2740 What comes next: 126, 222, 344, 504, 714, 986? 1332 What is next in 454, -197, -1274, -2771, -4682, -7001, -9722, -12839? -16346 What comes next: 7418, 7631, 7844, 8057, 8270, 8483? 8696 What is next in 7460632, 7460633, 7460634? 7460635 What is the next term in 1944, 3916, 5886, 7854? 9820 What is next in 22897, 22922, 22947, 22972, 22997? 23022 What comes next: 2007, 3822, 5639, 7458, 9279, 11102? 12927 What comes next: 503, 2153, 4903, 8753, 13703, 19753? 26903 What comes next: -608, -1147, -1696, -2261, -2848? -3463 What is the next term in -3, 28, 77, 144, 229? 332 What is next in 62, 513, 1254, 2291, 3630, 5277? 7238 What comes next: 641, 1101, 1561? 2021 What is the next term in 174291, 174287, 174283? 174279 What is the next term in -86, -130, -198, -290, -406, -546? -710 What comes next: 17174, 17257, 17340, 17423, 17506? 17589 What comes next: -513, -494, -475, -456? -437 What is the next term in -4231, -8444, -12657, -16870, -21083? -25296 What is next in 601, 4715, 15873, 37597, 73409? 126831 What is the next term in -24235, -96929, -218087, -387709, -605795, -872345, -1187359? -1550837 What comes next: 116, 164, 242, 350, 488? 656 What is next in 7, -3, -83, -281, -645, -1223, -2063, -3213? -4721 What comes next: -151855, -303711, -455567? -607423 What is the next term in 871, 827, 753, 649, 515, 351, 157? -67 What is next in 4827, 9649, 14457, 19245, 24007, 28737, 33429, 38077? 42675 What is next in 7344, 29337, 66006, 117363, 183420, 264189, 359682, 469911? 594888 What is next in 26206, 104922, 236108, 419758, 655866, 944426, 1285432, 1678878? 2124758 What comes next: -13794, -13823, -13852, -13881, -13910, -13939? -13968 What is the next term in 5538, 5555, 5586, 5637, 5714? 5823 What comes next: -242, -993, -2246, -4001, -6258? -9017 What is next in 189, 543, 1023, 1629? 2361 What comes next: -366, -492, -628, -774, -930, -1096, -1272? -1458 What comes next: 2821, 11317, 25477, 45301? 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-3749757 What comes next: 3562, 7127, 10692, 14257, 17822, 21387? 24952 What is next in -14, -31, -56, -95, -154, -239? -356 What comes next: -59878, -119745, -179604, -239455, -299298, -359133, -418960? -478779 What is the next term in 105, 67, -13, -147, -347? -625 What comes next: 781188, 781189, 781190? 781191 What is next in -129, -229, -489, -987, -1801, -3009, -4689? -6919 What is next in 2380, 2384, 2388, 2392, 2396? 2400 What is the next term in -11659, -11676, -11693, -11710, -11727? -11744 What comes next: 761, 2933, 6539, 11567, 18005, 25841, 35063, 45659? 57617 What comes next: 1821, 3458, 4919, 6204, 7313, 8246, 9003? 9584 What comes next: -33, -298, -845, -1818, -3361, -5618, -8733? -12850 What is next in 2666, 2665, 2664, 2663? 2662 What is the next term in -6618049, -6618048, -6618047, -6618046, -6618045, -6618044? -6618043 What is the next term in 803, 2853, 6151, 10697? 16491 What is the next term in 175, 154, 133? 112 What comes next: -800, -796, -792? -788 What is next in -15552, -31088, -46622, -62154, -77684? -93212 What comes next: 60, 40, 24, 12, 4? 0 What is the next term in 211938, 423878, 635818, 847758, 1059698, 1271638? 1483578 What is next in 1997, 8013, 18039, 32075, 50121, 72177? 98243 What comes next: 5, -28, -95, -196, -331? -500 What comes next: 51, 70, 93, 120? 151 What is the next term in -266, -496, -692, -842, -934, -956? -896 What is next in -554646, -554645, -554644, -554643? -554642 What comes next: -3365, -13443, -30243, -53765, -84009, -120975, -164663? -215073 What is next in -665, -552, -373, -134, 159, 500, 883, 1302? 1751 What comes next: 9250, 18542, 27832, 37120? 46406 What is the next term in 49739, 99470, 149191, 198896, 248579? 298234 What is next in -37950, -75904, -113858? -151812 What is the next term in 56725, 56727, 56729? 56731 What is next in 70173, 280670, 631483, 1122600, 1754009, 2525698? 3437655 What is next in 3990, 3969, 3912, 3801, 3618, 3345, 2964, 2457? 1806 What is next in -2058, -2080, -2130, -2220, -2362, -2568, -2850? -3220 What is next in -5842, -11706, -17604, -23554, -29574, -35682, -41896? -48234 What is the next term in -95, -232, -385, -554? -739 What is the next term in 60, 155, 264, 387? 524 What is the next term in 242, 469, 652, 767, 790, 697? 464 What is the next term in 952592, 952590, 952588, 952586, 952584? 952582 What is the next term in 61581, 61584, 61589, 61596? 61605 What comes next: 831, 2631, 5631, 9831, 15231? 21831 What is next in -8920, -17858, -26812, -35794, -44816, -53890, -63028, -72242? -81544 What is next in 1143, 1113, 1083, 1053, 1023, 993? 963 What is next in 13440, 13509, 13578, 13647, 13716? 13785 What is next in 1259, 1744, 2537, 3626, 4999, 6644, 8549? 10702 What comes next: -949, -557, -165, 227? 619 What comes next: -889, -983, -1079, -1177, -1277? -1379 What is next in -534, 224, 1496, 3288, 5606, 8456? 11844 What is the next term in 2245191, 2245189, 2245185, 2245179, 2245171? 2245161 What comes next: -17981, -17965, -17945, -17921, -17893, -17861, -17825? -17785 What is the next term in -83937, -83936, -83935, -83934, -83933? -83932 What is the next term in -83, -386, -953, -1838, -3095? -4778 What is next in 698, 688, 672, 650, 622, 588? 548 What is next in -105, -140, -189, -252? -329 What is the next term in -239030, -239032, -239034? -239036 What comes next: -1948, -3781, -5616, -7453, -9292? -11133 What comes next: -5272, -5300, -5328? -5356 What is next in -4097, -8239, -12381, -16523? -20665 What is the next term in -635, -2548, -5735, -10196, -15931? -22940 What comes next: 32377, 32392, 32423, 32476, 32557? 32672 What is the next term in -58117, -58103, -58089, -58075, -58061, -58047? -58033 What is the next term in 242, 513, 966, 1601, 2418, 3417, 4598? 5961 What comes next: 1046013, 1046012, 1046011, 1046010? 1046009 What is next in -1438, -5739, -12916, -22975, -35922, -51763, -70504, -92151? -116710 What comes next: -1388, -6460, -14908, -26726, -41908? -60448 What is next in 689, 600, 511, 422? 333 What is next in -5877, -5929, -5981, -6033? -6085 What is the next term in -212, -360, -440, -452, -396? -272 What is next in -329883, -1319585, -2969089, -5278395, -8247503, -11876413? -16165125 What comes next: -2755393, -2755395, -2755397? -2755399 What is the next term in 19230, 38374, 57504, 76614, 95698, 114750, 133764? 152734 What is next in 2955, 3094, 3229, 3354, 3463, 3550, 3609? 3634 What comes next: 29505, 29504, 29501, 29496, 29489? 29480 What comes next: 7078, 7354, 7630, 7906, 8182, 8458? 8734 What comes next: 377, 1900, 4445, 8018, 12625, 18272, 24965, 32710? 41513 What is next in 8691, 17382, 26073, 34764, 43455, 52146? 60837 What is the next term in 130571, 130576, 130585, 130598, 130615, 130636, 130661? 130690 What is the next term in 211605, 211618, 211633, 211650, 211669, 211690, 211713? 211738 What is the next term in 4027, 3732, 3437, 3142, 2847? 2552 What comes next: -999, -2032, -3015, -3924, -4735, -5424? -5967 What is the next term in 86601, 86565, 86529, 86493? 86457 What comes next: -74863, -74864, -74865, -74866? -74867 What is the next term in -6020, -12029, -18038, -24053, -30080, -36125? -
{ "pile_set_name": "DM Mathematics" }
4 What is the remainder when 528 is divided by 51? 18 What is the remainder when 479 is divided by 16? 15 What is the remainder when 214 is divided by 12? 10 What is the remainder when 147 is divided by 74? 73 What is the remainder when 63 is divided by 8? 7 Calculate the remainder when 1123 is divided by 24. 19 Calculate the remainder when 619 is divided by 152. 11 What is the remainder when 250 is divided by 122? 6 Calculate the remainder when 51049 is divided by 119. 117 What is the remainder when 438 is divided by 40? 38 What is the remainder when 12528 is divided by 14? 12 Calculate the remainder when 1145 is divided by 193. 180 Calculate the remainder when 90 is divided by 17. 5 Calculate the remainder when 1333 is divided by 15. 13 What is the remainder when 51 is divided by 14? 9 Calculate the remainder when 7192 is divided by 11. 9 What is the remainder when 15007 is divided by 7? 6 Calculate the remainder when 644 is divided by 93. 86 Calculate the remainder when 2271 is divided by 25. 21 Calculate the remainder when 500 is divided by 234. 32 Calculate the remainder when 2234 is divided by 15. 14 What is the remainder when 659 is divided by 201? 56 Calculate the remainder when 349 is divided by 52. 37 Calculate the remainder when 1116 is divided by 220. 16 Calculate the remainder when 313 is divided by 16. 9 Calculate the remainder when 497 is divided by 163. 8 What is the remainder when 814 is divided by 229? 127 What is the remainder when 1469 is divided by 16? 13 What is the remainder when 35 is divided by 9? 8 What is the remainder when 57 is divided by 40? 17 What is the remainder when 58 is divided by 9? 4 What is the remainder when 4360 is divided by 438? 418 What is the remainder when 182 is divided by 63? 56 Calculate the remainder when 3108 is divided by 1549. 10 Calculate the remainder when 64 is divided by 37. 27 Calculate the remainder when 1409 is divided by 31. 14 What is the remainder when 1705 is divided by 28? 25 What is the remainder when 491 is divided by 11? 7 Calculate the remainder when 428 is divided by 124. 56 What is the remainder when 41 is divided by 3? 2 What is the remainder when 566 is divided by 151? 113 What is the remainder when 12995 is divided by 4329? 8 Calculate the remainder when 34 is divided by 16. 2 Calculate the remainder when 54 is divided by 21. 12 What is the remainder when 528 is divided by 108? 96 What is the remainder when 8204 is divided by 8? 4 Calculate the remainder when 1010 is divided by 68. 58 Calculate the remainder when 247 is divided by 31. 30 What is the remainder when 968 is divided by 347? 274 What is the remainder when 78 is divided by 20? 18 What is the remainder when 154 is divided by 16? 10 What is the remainder when 667 is divided by 16? 11 Calculate the remainder when 133 is divided by 24. 13 Calculate the remainder when 167 is divided by 43. 38 What is the remainder when 142 is divided by 2? 0 What is the remainder when 7625 is divided by 70? 65 Calculate the remainder when 61 is divided by 22. 17 What is the remainder when 15418 is divided by 20? 18 Calculate the remainder when 206 is divided by 34. 2 Calculate the remainder when 1241 is divided by 54. 53 What is the remainder when 15598 is divided by 20? 18 Calculate the remainder when 419 is divided by 20. 19 Calculate the remainder when 339 is divided by 70. 59 What is the remainder when 184 is divided by 48? 40 Calculate the remainder when 106 is divided by 36. 34 Calculate the remainder when 269 is divided by 34. 31 What is the remainder when 422 is divided by 85? 82 What is the remainder when 2115 is divided by 19? 6 Calculate the remainder when 102 is divided by 56. 46 Calculate the remainder when 620 is divided by 75. 20 What is the remainder when 95 is divided by 65? 30 What is the remainder when 337 is divided by 43? 36 Calculate the remainder when 822 is divided by 104. 94 What is the remainder when 530 is divided by 89? 85 What is the remainder when 310 is divided by 36? 22 What is the remainder when 78 is divided by 69? 9 Calculate the remainder when 134 is divided by 63. 8 What is the remainder when 246 is divided by 32? 22 What is the remainder when 73 is divided by 26? 21 What is the remainder when 666 is divided by 96? 90 Calculate the remainder when 119 is divided by 8. 7 What is the remainder when 2278 is divided by 60? 58 Calculate the remainder when 48 is divided by 11. 4 What is the remainder when 779 is divided by 71? 69 Calculate the remainder when 949 is divided by 3. 1 Calculate the remainder when 301 is divided by 19. 16 Calculate the remainder when 218 is divided by 5. 3 What is the remainder when 17202 is divided by 44? 42 What is the remainder when 7290 is divided by 280? 10 Calculate the remainder when 394 is divided by 48. 10 What is the remainder when 1876 is divided by 47? 43 What is the remainder when 196 is divided by 193? 3 What is the remainder when 39 is divided by 5? 4 What is the remainder when 9 is divided by 9? 0 What is the remainder when 1402 is divided by 78? 76 Calculate the remainder when 6665 is divided by 22. 21 Calculate the remainder when 275 is divided by 70. 65 What is the remainder when 812 is divided by 39? 32 What is the remainder when 16249 is divided by 4? 1 What is the remainder when 582 is divided by 5? 2 Calculate the remainder when 820 is divided by 18. 10 Calculate the remainder when 116 is divided by 37. 5 What is the remainder when 5645 is divided by 18? 11 What is the remainder when 901 is divided by 21? 19 What is the remainder when 346 is divided by 69? 1 Calculate the remainder when 22 is divided by 15. 7 Calculate the remainder when 419 is divided by 60. 59 What is the remainder when 2437 is divided by 53? 52 Calculate the remainder when 45 is divided by 19. 7 What is the remainder when 1610 is divided by 124? 122 Calculate the remainder when 297 is divided by 38. 31 Calculate the remainder when 81 is divided by 23. 12 What is the remainder when 1229 is divided by 112? 109 What is the remainder when 44 is divided by 15? 14 Calculate the remainder when 2479 is divided by 20. 19 What is the remainder when 1382 is divided by 19? 14 Calculate the remainder when 1416 is divided by 692. 32 Calculate the remainder when 101 is divided by 35. 31 What is the remainder when 12914 is divided by 5? 4 Calculate the remainder when 1322 is divided by 327. 14 Calculate the remainder when 688 is divided by 2. 0 Calculate the remainder when 2342 is divided by 94. 86 Calculate the remainder when 22 is divided by 16. 6 What is the remainder when 99 is divided by 60? 39 What is the remainder when 8237 is divided by 2? 1 Calculate the remainder when 48 is divided by 8. 0 Calculate the remainder when 39 is divided by 8. 7 Calculate the remainder when 15 is divided by 13. 2 Calculate the remainder when 112 is divided by 24. 16 Calculate the remainder when 176 is divided by 93. 83 Calculate the remainder when 303 is divided by 35. 23 Calculate the remainder when 40 is divided by 7. 5 Calculate the remainder when 96 is divided by 33. 30 Calculate the remainder when 603 is divided by 77. 64 Calculate the remainder when 142 is divided by 120. 22 What is the remainder when 2443 is divided by 310? 273 What is the remainder when 8824 is divided by 91? 88 What is the remainder when 446 is divided by 84? 26 Calculate the remainder when 82 is divided by 25. 7 What is the remainder when 17238 is divided by 40? 38 Calculate the remainder when 3040 is divided by 337. 7 Calculate the remainder when 301 is divided by 16. 13 What is the remainder when 9023 is divided by 74? 69 What is the remainder when 1988 is divided by 153? 152 What is the remainder when 1004 is divided by 42? 38 What is the remainder when 33 is divided by 22? 11 Calculate the remainder when 269 is divided by 12. 5 Calculate the remainder when 372 is divided by 8. 4 What is the remainder when 1876 is divided by 7? 0 Calculate the remainder when 2175 is divided by 34. 33 What is the remainder when 3626 is divided by 117? 116 Calculate the remainder when 234 is divided by 107. 20 What is the remainder when 3099 is divided by 31? 30 What is the remainder when 13265 is divided by 107? 104 What is the remainder when
{ "pile_set_name": "DM Mathematics" }
for t. -2 Solve -4*f + 2*f - 3081*p + 31 = -3086*p, -f = 3*p + 12 for f. 3 Solve 1475*p - 5*j = 1472*p - 233, 11271 = -p + 245*j for p. -1 Solve 4*j - 3*j - 11*j - 26 = -3*f, 11958 = 4*j + 4*f + 11958 for j. -2 Solve 5*y = -25011*c + 25006*c - 10, 5*y = -4*c - 3*c - 6 for c. 2 Solve -5*s - s + 4 = -2*s, 335*s = 2*o + 336*s - 21 for o. 10 Solve 5*r = 5*x + 6*r + 24, -r = -2*x + 76 - 43 - 44 for x. -5 Solve -1842*i + 3*t = -1843*i - 5, -i - 7 = 5*t for i. -2 Solve 433 = -3*d + 3*b + 367, 4*d = 21*d - 3*b + 332 for d. -19 Solve -10*o + 3*l = 86, -o - 11*l + 5*l + 125 = -131 for o. 4 Solve -4*w = 3*n + 239 - 520, 3*n + 5*w - 4 = 351 for n. -5 Solve -4*g = -16, 14*u - 387 = -15*u - 5*u + 49*u - 3*g for u. -25 Solve -7*c - 77 = -3*c - 5*v, -17*c - 94 = -16*c - 7*v for c. -3 Solve 2*d = -3*o - 4, -524*d = -2*o - 522*d - 16 for o. -4 Solve -2135*l - 2152*l - 2*o = -4310*l + 151, l = -2*o + 17 for l. 7 Solve 19*r - 20*r = 5*b - 30, 145*b + 6*r = 140*b + 55 for b. 5 Solve 5*w - 2*x - 7 - 16 - 2 = 0, -149 = -22*w + x for w. 7 Solve -1551*c + 1546*c - 2*q + q + 3 = 0, 0 = 5*c + 5*q - 95 for c. -4 Solve -22*i - 3*s = -17*i + 124, 6*i - 604 = 4*s + s - 469 for i. -5 Solve -12 + 41 = 4*b - f, 13276 = -4*b + 3*f + 13307 for b. 7 Solve 0 = 5*d + 5*h + 10, 5*d - 3*d + 310*h - 60 + 8 = 315*h for d. 6 Solve -2*u - 319*t = -324*t + 40 + 5, -10*t = 2*u + 90 for u. -30 Solve 0 = -10*l - 4*n + 3*n - 26, 5*l + 5*l = 2*l - 5*n + 38 for l. -4 Solve -d + 86 = 3*x, 0 = 3*d + 3461*x - 3424*x - 1014 for d. 5 Solve 5*j - 105 = 5*s, 483*j + 56 = 4*s + 486*j for s. -1 Solve -2*k - k + 66*m - 237 = 0, -4*k + 3*m - 75 + 14 = 0 for k. -13 Solve 475*q = -19*z + 470*q + 101, -q + 4*q + 5 = 5*z for z. 4 Solve -4*b + 5*b = 5 + 16, d + 3*b = 2*b + 19 for d. -2 Solve 0 = 8*h + 26*c - 27*c + 6 + 52, -5*c + 80 = -10*h for h. -7 Solve -5*i + 2*a - 69 = 0, 16*a - 1674127 = i - 1674160 for i. -15 Solve 22664077*w = 22664078*w - 2*q - 10, -q = 3*w + 5 for w. 0 Solve -319*w + p = -163*w - 159*w + 18, 102 = 17*w - p for w. 6 Solve z - 21*o = -37*o + 14*o - 20, -146 = 12*z + 8*o + 110 for z. -22 Solve 5*z + 55 = -5*h, 39*z + 31 - 2 = -5*h + 47*z for h. -9 Solve 39*d + 80 = 8*d + 33*d + 2*s, -2*d - 3*s = -125 for d. -5 Solve b = -8*n - 145, 3*n - 147 + 204 = -3*b for b. -1 Solve -1913 = -3*i + 2*c - 1854, -10 = -5*c for i. 21 Solve 4*s + 147*p + 36 = 376*p - 225*p, -7*p = 5*s + 57 for s. -10 Solve -22*c = 7*c, 9*c = 5*g + 14*c + 20 for g. -4 Solve 5*q + 450 = 5*v, 29413*v - 29407*v - 540 = 7*q for q. 0 Solve -93*x + 91*x + 68 = -2*t, -4*x + 28*t + 631 = -201 for x. 5 Solve -4*c + 55 = -3*b, 0 = -896*c + 915*c + 4*b - 170 for c. 10 Solve 22905*k - 22904*k + 8 = 2*y, y - 4 = -0*y - 5*k for y. 4 Solve -15*k - 5*j + 170 = -50*k, -131*j + 266*j - 137*j + 1 = 3 for k. -5 Solve -384*j + 387*j = b, -4*j = -40*j for b. 0 Solve 3*m + m - 71 = -y, 5*y - 112826*m = -112825*m - 44 for y. -5 Solve -6*h - 8*h - 2*u + 84 = -12*h - 10*u, -4*u - 4 - 40 = 0 for h. -2 Solve k = -8 - 7, -17*i - 2*k - 7*k = -k + 35 for i. 5 Solve 5*i - 122 = 3*o, -2*o - 20*i + 8*i + 45 = i - 233 for o. -4 Solve -193 + 197 = -5*n + 2*m, -2*n + 2 = m for n. 0 Solve -z = 3*v + 21, -127176 = -z - 5*v - 127211 for z. 0 Solve -4*l = -5*s - 78, -s + 4*l - 43 + 83 = 62 for s. -14 Solve -319783 = 4*q - 2*n - 319919, 0 = q - n + 2*n - 28 for q. 32 Solve -23367*r + 23365*r = -t + 26, 4*r + r = -2*t + 7 for t. 16 Solve -4*j - 34 = -10*k, 162*k + 218*k - 18 = 3*j + 375*k for j. -1 Solve 14*p - 2*v + 42 - 114 = 3*p + 2*v - 9*v, -p - 4*v + 81 = 0 for p. -3 Solve -c + 563993*d - 563974*d + 139 + 1020 = 0, 2*c + 4*d = -244 for c. 0 Solve -128*w + 2*h = -248*w + 123*w + 4*h + 30, 50 = -5*w - h for w. -10 Solve -65*a - 3*r - 84 = -62*a, 0 = -3*a - 51*r - 132 for a. -27 Solve -j = 5*w + 47, -3*w - 1005*j + 1012*j + 367 = 0 for w. 1 Solve 3*h - 26*f = -1907, f = -5*h + 407 - 349 for h. -3 Solve 0 = -45*u + 5*a + 110, 0 = 4*u - 2*a - 628 + 598 for u. 1 Solve 8*d + 10 = -p - 9, -p + 4*d + d = -5*p - 76 for p. -19 Solve 260 = 5*c - 30*g, -4*g + 4684 - 2354 = 5*c + 2342 for c. 4 Solve -2*k + 58*y - 158 = -10*k, 4*k + 23 = -7*y + 11*y + 3 for k. -2 Solve 0 = -1569*k + 1566*k + 9*t - 51, 3*k - 3*t = -9 for k. 4 Solve 6*r + 7 = 22*r - 17*r + 20, 3*r - 35 = 4*q for q. 1 Solve 43*f + 5*z = 47*f - 0 - 11, 23 = f - 8*z for f. -1 Solve -2*f = 5*x - 152, -7*f - 158 - 30 = -63*x + 58*x for x. 32 Solve -u - 3*k = 2, -2*u - 1789 = u + 2*k + 2*k - 1788 for u. 1 Solve 4 + 38 = 14*z, 754*z = -t + 755*z + 6 for t. 9 Solve 8*r = 3*n - 103, -4*n = 25*r + 27*r - 55*r - 30 for n. -3 Solve 177*m + 56 = 178*m + 5*t, 0 = -4*m - 11*t + 6*t + 10*t - 2*t - 29 for m. 1 Solve 178 = 4*z - 6*r, -5*r - 71 = 64 for z. 4 Solve -135 + 216 = 3*z - 5*y, 3*z = 5*y - 2*y + 45 for z. -3 Solve -7*b + b - 3*m + 17 = 4*m - 5, -4*b - m = 0 for b. -1 Solve 2*v - 14*k + 92*k = -3*v + 115, 2*k - 16 = -6 for v. -55 Solve 4*l + 9 = -5*t - 51, t - 8 - 5 + 25 = -94*l for t. -12 Solve -4*p = -3*n + 65, 24467*p = -n + 24466*p - 18 for n. -1 Solve 12*q - 11*q - 28 = 4*s, -172 - 412 = -5*q + 131*s for q. 12 Solve -3*g + 3*w = -102, -406*g + 206*g + 4*w = -204*g + 112 for g. 31 Solve 2*h + 207 + 214 = -7*w + 10*h - 216 + 664, 15 = 4*w - 5*h for w. 5 Solve h = 3*j - 12, -107*h + j = -108*h + 103 - 91 for h. 6 Solve -u + 5*q + 60 - 115 = 0, 2*u + 3*q + 5 - 25 = 0 for u. -5 Solve 2*w = 5*x + 51, -6*x + 8*w - 10 = 99 - 31 for x. -9 Solve -3*j + 1142 = 5*y + 1181, -2*j - 12 + 3 = 3*y + 16 for j. -8 Solve 3*k + 4*r + 45 = 42, -4*k - 5*r = 3 for k. 3 Solve -4*k + 6*k - 4*g - 95476 + 95514 = 0, 7*g + 40 = 5*k + 12*g for k. -1 Solve 4*r + 22993 = g + 22979, 4*r + 5*g = -2 for r. -3 Solve -5 - 21 = -5*z - 3*r, -26*z + 17*z - 7*r + 58 = 0 for z. 1 Solve -2*p + 2 = -2*w, -w = -2*p + 6 - 3 - 0 for w. 1 Solve 88*b + a - 97 = 154, -5*b + 4*a = -67 for b. 3 Solve -5*u = -3*s - 3*u - u - 51, 106 = -6*s - u - 5 for s. -18 Solve 484 = -5*t + t + 13*a, -t = 2*t - 51*a + 47*a + 156 for t. -4 Solve 5*k - 66 = -2*s, -698811*k - 13*s + 3 = -698814*k for k. 12 Solve 3*d - 1430 = 3*g - 1526, 0*g - g + 3*d + 104 = 0 for g. -4 Solve 1876*i + 308 = 5*t + 1875*i, -2*t + 114 = -5*i for t. 62 Solve -26*c + 3*n = -23*c - 30, -32*n - 356 = 4*c for c. -1 Solve 3*h - 360 = -q - 355, -9*q + 111 = 5*h for q. 14 Solve 3*k + 1449*n = 1446*n - 6, -80 = -5*k + 9*n + 4*n for k. 3 Solve -4*k + 687532*b - 12 = 687533*b, 5*b + 52 = -16*k for k. -2 Solve -g + 14 = 3987*v - 3986*v, 4*v + 52 = 5*g for g. 12 Solve a = -30*a + 4*v - 628, -8*a - 47 - 27 = -4*a + 3*v for a. -20 Solve -8*q = 158*u - 153*u + 39, -3*u - q - 12 = 0 for u. -3 Solve -4*n + 12*q - 14*q - 320 = -6*n - 84*n, 4*n + 44 = 5*q for n. 4 Solve 3304*t - 76 = 3308*t - 4*c, 27*c = -2*t + 28*c - 22 for t. -3 Solve 5*j - 4*t - 163 = 0, 3*j - 93 = 110371*t - 110367*t for j. 35 Solve 39 = 3*v - 3*l, -v = 2*l - 498 + 533 for v. -3 Solve 205 = -5*v + 178060*y - 178055*y, -21*v + 3*v - 3*y - 696 = 0 for v. -39 Solve 3*x + 583 = 592, 2*x = 6*s - 6 for s. 2 Solve -2*r = -l - 24, -77982*l + 77978*l = 3*r + 52 for r. 4 Solve 40 = -6*w + 2*r, 86*w + 86*w - 170*w - 5*r + 48 = 0 for w. -4 Solve -30 = 3*f + 15*w, 5*f - 4*w = -25321 + 25358 for f. 5 Solve m - 2*m - 9*h = -m + 2*m + 205, 0 = -4*h - 92 for m. 1 Solve 3*r - 17*a = 95*a - 2455, -19*a + 20*a = -14*r + 64 for r. 3 Solve 4*g = -x + 40, 1260731*g = -x + 1260735*g for x. 20 Solve 0 = -6*g - 112*m + 107*m - 21, -3*g = 6*m for g. -6 Solve -5*n + 48 = 2608*w - 2614*w, 5*w + 40 = 2*n for w. -8 Solve b - 20 = -5*s, 2*b = -2*s - 160701 + 160701 for b. -5 Solve 5059*k - 5058*k = -4*n - 36, -n - 9 = 6*k for k. 0 Solve -i = -2, 0 = -318565*n + 318562*n + 3*i - 12 for n. -2 Solve 295 = -163546*x + 163554*x - u, 3*x - 115 = -4*u for x. 37 Solve 3*s = -5*m + 326, -674 = -4*m - 4*s - 226 for m. -5 Solve -c - 2*s - 16 = -40, 359 - 51 = 2*c + 24*s for c. -2 Solve 0 = -5*q + 25, 0 = 3*r + 3*q - 16834 + 16816 for r. 1 Solve 5*l + 86593 = -3*x + 86597, 5*x - 11 = -4*l for l. -1 Solve -2*s - 2*c - 4 = 0, -17265*s + 17264*s - 20 = 4*c for s. 4 Solve -69711*g = i - 69707*g + 16, 3*i - 3*g + 78 = 0 for i. -24 Solve 3*r - 1 = b, -88*b + 2*r + 1619 = 397 for b. 14 Solve 4*l + 2*g - g - 89 = 0, 2*l - 4*g - 58 = 0 for l. 23 Solve 14*k - 200*k = 3*i + 85 + 77, 4*k - 2*i = -22
{ "pile_set_name": "DM Mathematics" }
-31274. Which is the third biggest value? (a) -12/959 (b) -3 (c) h b Let w = 1 - 2. Let l = -2.371 - -0.371. Which is the third biggest value? (a) w (b) l (c) 5 (d) 0.5 a Let i = -130 - -129. Let w be (-2 + 4)/2 + 4. Let m be (5/((-15)/2))/(38/228). Which is the biggest value? (a) -0.1 (b) m (c) w (d) i c Let h = 0.3432 + -0.0206. Let c = -0.0774 - h. Let d = 0.3 - 0.2. What is the second biggest value in -4, d, -1, c? c Let v be (81/(-243))/(12/9). Which is the smallest value? (a) 11.86 (b) 3/5 (c) v c Let m(q) = 11*q - 5*q - 4*q - 215 + 31*q + 18*q. Let d be m(4). Which is the third smallest value? (a) d (b) 0 (c) 1.6 c Let s be 374 - 40/(15 - 7). Let w = s + -374. What is the smallest value in w, 5, 4? w Let z be (3/((-18)/(-4)))/(20 + (-517356)/25866). What is the third biggest value in 0.5, -1, z? z Let d = -473 + 472.7. Let w = -3.7 - -0.7. Let k = 0 + w. What is the biggest value in k, 1/2, d? 1/2 Let t = -5/422 - 819/2110. What is the third smallest value in -4/3, -0.04, t, -18? t Let p = 55091/6 - 9182. Which is the biggest value? (a) p (b) 65 (c) 0.4 (d) -0.1 (e) -1 b Let r(d) = -2*d**2 - d - 9. Let o be r(0). Let m be o/8*(-8)/(-6). Which is the third smallest value? (a) 0 (b) m (c) 1 c Let w(a) = a**3 + 20*a**2 + 21*a + 20. Let u be w(-19). Let z be (-144)/40 - (u/15)/(-3). What is the fourth biggest value in -6, z, -1, 4? -6 Let c be -3 - 78/(-20) - (-6 - (-55)/10). What is the third biggest value in -2/15, c, -0.02? -2/15 Let d = 0.05857 - -24.85643. Let f = -25 + d. Let r = f - 0.015. Which is the third smallest value? (a) r (b) 9 (c) -2 b Let x = -321 - -318. Which is the second biggest value? (a) -0.04 (b) 0.4 (c) -0.2 (d) x (e) 12 b Suppose -7*g + 794 = -6*g - 4*o, 4*g - 4*o = 3128. Let f = 770 - g. What is the second smallest value in 2/7, f, 4, -2/5? -2/5 Let p = 45807374/635 + -72139. Let f be (-6*(-3)/12)/(13335/28). Let d = p + f. What is the third biggest value in d, -5, 2/5? -5 Let q = -6776.5 + 6767. What is the fifth smallest value in 4, q, -2/15, 0, 0.5? 4 Suppose 0*n + 18 = -3*n. Let a(k) = -k**3 - 7*k**2 - 6*k - 2. Let i be a(n). Let m = -1/153446 - 613779/767230. What is the third smallest value in m, 0, 5, i? 0 Let f = -1.4 + 0.4. Let l = 401.27 + -5.27. Let g = l - 396.2. Which is the fourth smallest value? (a) f (b) -4 (c) -0.26 (d) g d Let d = -7 - -4. Let f = -9814/423 - -116/5. Let w = f - 701/4230. What is the smallest value in -0.2, d, w, 0.16? d Suppose 6*h - 1788 = 4*q + h, -1310 = 3*q + 4*h. Let j = 4419/10 + q. Let l = 3.1 - 3. Which is the second smallest value? (a) 2 (b) l (c) 1/5 (d) j b Let x = 136.11 + -840.11. Which is the smallest value? (a) 0.4 (b) 0.1 (c) x (d) 2 c Suppose 19753*n + 5 = 19752*n + 5*x, -9 = -3*x. Let t = -57 - -38. What is the smallest value in -1/6, t, n? t Let s(j) = -j**2 - 311*j + 1265. Let d be s(4). Suppose 5*o + 5 = 3*r, 4*r + o + 1 = 3*r. Let g = 3 - 2. Which is the third smallest value? (a) r (b) d (c) g b Suppose 3*s + 3 - 24 = 0. Let u(c) = c**3 + 7*c**2 + 3*c - 27. Let d be u(-5). Let q be ((-2)/(-10))/(d/(-20)). What is the third biggest value in s, q, 1? q Let p = 999.1 - 999. Let u be ((-378)/(-15))/((-8)/(-15)). Let r = u - 47. Which is the second biggest value? (a) 0.03 (b) r (c) p (d) -3 c Suppose 0 = -4*s - 5*k + 7, -3 = -5*s - 2*k + 27. Suppose 4 + s = -w. Let f be 3/(-3) + 4/w. What is the third biggest value in -2/9, -5, f, -3? -3 Let w = -3 + 4. Let z = -2.94863 + -0.05137. Which is the biggest value? (a) z (b) -4 (c) w (d) -0.06 c Let l(y) = y**2 + 6*y + 8. Let w be l(-3). Let o = -28 + 28.1. Let n = o + 0.4. What is the smallest value in w, 2/9, n? w Let s = 969 - 1644. Let n be (-9*10/s)/(1/70). Which is the fourth smallest value? (a) n (b) 1 (c) -1/3 (d) 2/3 a Suppose 19*g - 17*g = 4, c + 11 = 5*g. Let i be 60/(-6) - -16 - (c - -3). What is the fourth biggest value in -1/11, i, 0, 3? -1/11 Suppose -6*b - 25 = -b. Let y be (12 + 437/(-38))*(0 + 0). Let z = -5 + -1. What is the fourth biggest value in -0.1, z, b, y? z Let u = 0.6 + -0.8. Let t = -17432 + 17434. Which is the third biggest value? (a) -2/13 (b) u (c) t (d) -5.4 b Let w = -0.5835 + 4.5835. Which is the third biggest value? (a) w (b) 24/11 (c) -8 c Let c = 0.3 + -0.267. Let h = c + 18.967. Let n = 18.3 - h. What is the second smallest value in -1/4, n, 2/3? -1/4 Let z(h) = -h**3 + 16*h**2 - 16*h + 22. Let i be z(15). Suppose 7 = 2*l + 3*p, 3*l - 4*p + 4 = i*l. Which is the third smallest value? (a) -0.4 (b) 1 (c) l b Let c = -13/36 + 1/4. Let p = -0.156 + -1.844. Let y(z) = 4*z - 6. Let i be y(2). What is the third biggest value in 0.4, p, c, i? c Let y = -4570 - -123422/27. Let n = -1627/1350 + y. Which is the second biggest value? (a) n (b) -1/6 (c) 1/8 a Let m = 484/21 + -70/3. Let x(s) = -1 + s - 3 - 13 - 3. Let w be x(16). Which is the second biggest value? (a) m (b) w (c) -0.4 c Let y = 4253.8 - 4254. Which is the third smallest value? (a) y (b) 0.4 (c) 70 c Let j(q) = 6*q + 70. Let o be j(-11). Suppose -p - p = 168. Let a = p - -585/7. What is the third smallest value in o, 2, -0.06, a? 2 Let l = 1366.5 - 1370.4. What is the second biggest value in 1/4, -53, l? l Let t = 779 - 780. Suppose -2*z + 5*u = -22, 5*z = 2*u - 4 + 17. Suppose -z = h - 5. What is the smallest value in 5, t, h? t Let m = 1907 + -1907.2. What is the smallest value in 4, m, -90? -90 Let o = -237.98 + 238.28. Which is the third smallest value? (a) -72 (b) 22 (c) o b Let h be 30/(-120) + 1/2. Let i = 26 + -12. Let o = i + -5. Which is the third smallest value? (a) o (b) -2 (c) h a Let n(t) = -t**3 + 29*t - 54. Let z be n(2). Which is the second biggest value? (a) -8 (b) 5 (c) 2 (d) -0.08 (e) z c Let v = -31219.2 + 31222. Which is the third biggest value? (a) -4 (b) 2 (c) v (d) -1/7 (e) 5 b Let u = -537 - -281. Let l = 166 + u. Let f = l + 92. Which is the biggest value? (a) 1/6 (b) 3/5 (c) f (d) 4 d Let k(q) = 30*q - 205. Suppose 0 = -13*r + 8*r - o + 31, 8 = -2*o. Let u be k(r). Which is the second smallest value? (a) 0.2 (b) u (c) 2 (d) 1.1 d Let u = 3361 + -3361. Which is the second smallest value? (a) u (b) -3 (c) 35 (d) -0.4 d Let w = -1831 - -1828. What is the third biggest value in w, 52, 1/3? w Let b = 155 - 1086/7. What is the second biggest value in 0.5, -0.2, b, 3? 0.5 Let v be 6/45*-3 + (-24)/(-85). Let q be (-1568)/(-52) + 12/(-78). Let y be (-45)/q + (-22)/(-20). What is the second smallest value in -4, y, v? y Let w = 330.426 + -330. Let k = w + -0.726. Which is the biggest value? (a) 0.3 (b) -9 (c) 5 (d) k c Let x = 4.9 - 5. Suppose 0 = w + 8*w + 1251. Let s = w + 693/5. What is the second smallest value in x, 6, s? x Let n = -147 - -167. Let d = 19 - n. What is the third biggest value in d, 3/5, 6? d Let p = 1371 + -1376. Let g(j) = j + 6. Let x be g(-5). Let o be (x/5)/((-2)/(-4)). Which is the second biggest value? (a) p (b) -1.5 (c) o b Let u = -3232.9 - -3233. Let h = -4 + 4. Which is the smallest value? (a) h (b) u (c) 1 a Let l be 3120/(-360) + (4 - -5)*1. What is the second biggest value in -1, l, 5, 8/5, -5? 8/5 Let a = 14.103 + -9.103. What is the fourth smallest value in -113/4, -1/5, 4, a? a Let u = -846.8 + 843.8. What is the third biggest value in -643, -2, -2/5, u? u Let l be 1/4 + 80/(-64). Which is the second smallest value? (a) l (b) 0.5 (c) -1/2 (d) 4/11 (e) 3 c Let z = -16.1 - 1.9. Let x = z + 16.4. Let f = x + -2.4. What is the third smallest value in f, 3/7, 8/7? 8/7 Let o = 645 - 639. Let j be 8 - (-35)/(-5) - o. What is the second biggest value in 0.136, j, 2/9? 0.136 Let u = 93955.099 - 93899. Let i = u + -0.099. What is the third biggest value in -0.2, i, -0.5? -0.5 Let m be -6 + 0/((-3)/(-1)). Let k = -171 - -182. Suppose 0 = 4*o - 20, 0*o - k = 2*l - o. What is the third biggest value in 1, l, 0.5, m? l Let n be 5*1*(1 + 0). Suppose 17 = -n*h - 8. Let i = 29 + -111/4. Which is the third smallest value? (a) h (b) 3 (c) i (d) 2 d Let b(m) be the first derivative of m**4/4 + 3*m**3 + 9*m**2/2 - 36*m + 65. Let y be b(-7). What is the biggest value in 1, 1/2, y? 1 Let l = -0.02 + 6.02. Let s = 2891 - 20239/7. Which is the biggest value? (a) 5 (b
{ "pile_set_name": "DM Mathematics" }
Solve -y*o - 4 = -6*o for o. 4 Let h = -146 + 166. Suppose -18*d - 36 = -h*d. Solve d + 2 = 5*o for o. 4 Suppose -57*f - 4*i = -61*f + 160, -2*f - 5*i + 73 = 0. Solve -20*r = -f - 41 for r. 4 Let o = -24 - -48. Suppose -4*h = -5*h + 28. Suppose 0 = 4*c - 4*q - 0 - h, -3*c + 6 = 2*q. Solve -4*s = -o + c for s. 5 Suppose g = -2*g + 6. Let b be (-77)/(-7) + 210/(-35). Suppose -b*r + 25 = -5*v, 3*r + r + 5*v = g. Solve -r = -p - 0 for p. 3 Let x be (322/21)/(12/18). Suppose x*g - 69*g = -1058. Solve g - 28 = -5*w for w. 1 Let r(y) = 242*y - 242. Let g be r(1). Solve g = 219*b - 227*b + 8 for b. 1 Suppose -10*q + 8 = -42. Let b be (-2)/3 - (-18)/27. Let v = 0 - -1. Solve -q*d + 4 + v = b for d. 1 Let r(s) = 20*s**2 - 92*s + 430. Let i(q) = -11*q**2 + 47*q - 216. Let j(o) = 11*i(o) + 6*r(o). Let a be j(-40). Solve -27 + 19 = a*k for k. -2 Suppose -5*y + 14 + 5 = -u, 0 = u + 5*y - 31. Let w = -6 + u. Suppose -37*x - 4 = -39*x. Solve -2*s + 10 - x = w for s. 4 Let b = 7249 - 7206. Solve -59 = -34*z + b for z. 3 Let f be (10680/35)/(-4) - (-4)/14. Let v = -76 - f. Suppose -5*h - 5 = 5*u - v*h, -3*u + 2 = 2*h. Solve p - u*p = 6 for p. -2 Suppose -28 = -3*l + 2*a, 3*l + 3*a = 4*l. Let u be 16/(((-14)/(-4))/7). Let h be ((-24)/u)/(12/64*-1). Solve -4*d - h = l for d. -4 Suppose -5418 = -5*f + 2*z, 5*f - 5421 = -12*z + 11*z. Solve -f = -c - 1087 for c. -3 Suppose l + 4 = -2*z + 5*l, 0 = 2*z - 2*l. Let j(q) = -25*q**2 + 7*q + 4. Let d be j(z). Let x = d - -83. Solve v - 2 = x for v. 3 Let b = -42 - -42. Suppose 2*r - 10 = 4*v - b*r, -v + 2*r = 10. Solve -4*h - 2 + 18 = v for h. 4 Let h(n) = -114*n + 3424. Let l be h(30). Solve -16*f + 20 - l = 0 for f. 1 Suppose -3*s + 0*o = -2*o - 326, -4*o = -4*s + 440. Let r = s + -102. Suppose 0 = -2*t + r*d, -4*t - d = -t - 7. Solve v + 2 = -t for v. -4 Let v(f) = f**3 - 16*f**2 - f + 21. Let p be v(16). Suppose -2*r + 29 = -2*d + p*d, r + 13 = 4*d. Suppose -z + 0*z = -6. Solve -r*h = -4*h + z for h. -2 Suppose 0 = -3*p + 12, -5*z - 14 + 16 = -2*p. Solve 52 + z = 27*k for k. 2 Let p be -1 + -2 + ((-21)/(-3) - -1). Suppose p*o = m + 23, -o = -0*o - 2*m - 10. Suppose 7*n - o*n = 12. Solve 11 = -n*d - 1 for d. -3 Let s(c) = c**2 - 8*c - 18. Suppose -16*o - 44 = -12. Let m be s(o). Solve -7 = -m*t - 5 for t. 1 Let n be 2 + (-37)/((-10)/(-90) - (-39)/(-108)). Solve 115*d - n*d - 140 = 0 for d. -4 Suppose 0 + 7 = -f + 2*a, f + 3*a = 18. Suppose -4*l - 4 = 3*n + 4, 32 = f*n - 4*l. Suppose -2*d = -2*u - 2*u - 2, -n*u = -5*d + 17. Solve 3 = x - u for x. 5 Suppose 0 = -2*a - 2*p + 16, 129 = -4*a - 3*p + 163. Solve a*z + 17*z - 189 = 0 for z. 7 Let x = 3973 - 3965. Solve -695*u + 699*u = -x for u. -2 Let r = 135 - 129. Let u be (r/9)/(-1)*-6. Let m(y) = 4*y - 3. Let s be m(3). Solve 0 = u*k - s - 11 for k. 5 Suppose g = -3*d + 7*d + 21, 0 = -5*g - d + 126. Solve 39*u + 42 = g*u for u. -3 Let d(o) = 2*o - 1. Let q be d(8). Let b(k) = -k**2 + 9*k - 10. Let p be b(5). Solve q*n = p*n + 15 for n. 3 Let a be -1 - 22*4/8*-1. Solve a*d = -60 + 10 for d. -5 Suppose 3*w - 688 = -5*w. Let x = -63 + w. Suppose v - 26 = -x. Solve 7 = 2*b - v for b. 5 Let r(q) = 10*q + 60. Let g be r(-6). Suppose g*j - 15 = -5*j. Solve 0 = -j*h + 4*h for h. 0 Let g be 2/(-1)*(2 - (-55)/2). Let v be (-22*(-15)/(-6))/1. Let c = v - g. Solve a + c = 3 for a. -1 Suppose -2*p + 17 = 3*t, 2*t - 2 = -3*p + 6. Suppose 0 = -4*c + 84 - 64. Solve -i = c - t for i. 2 Suppose -48 + 3 = 3*y. Let d = -15 - y. Suppose -1 = 2*m - 9, -l - 5*m = -25. Solve d = 2*j + 1 + l for j. -3 Suppose -2*m + 0*f + 889 = 3*f, 0 = -3*m + 4*f + 1308. Solve m = -13*o + 505 for o. 5 Let p(b) = -6*b**3 - 89*b**2 + 174*b - 71. Let c(a) = -a**3 - 18*a**2 + 35*a - 14. Let m(k) = 11*c(k) - 2*p(k). Let z be m(18). Solve 0 = 9*l - z*l + 6 for l. -2 Suppose 996*c - 991*c - 20 = 0. Solve -18*v + c = -22*v for v. -1 Let y = 19 + 9. Let i be 219/(-6) - (0 - 4/8). Let r be -8 - i/6 - -2. Solve r = -5*u + 3 - y for u. -5 Suppose -27 = -3*i - 0*i. Let y(r) = 43*r - 21. Let t be y(1). Suppose t = -6*p + 58. Solve 5*g - p = i for g. 3 Suppose 14*n - 21*n + 5640 = 33*n. Solve 2*l + 127 = n for l. 7 Suppose -46*f = 3*m - 45*f - 291, -5*m + 2*f + 452 = 0. Solve 5*k = -m + 79 for k. -3 Suppose 2*q = 5*u - 20, -3*u - u = 0. Let x be q/(-2) + (-48)/48. Suppose -4*l + 1 = 3*h - 14, -l + 5 = 2*h. Solve -5*a + h = -x for a. 1 Suppose -110 = -4*c + 2*f, -c - c + 3*f + 45 = 0. Suppose 6 = -2*h + 5*l, -2*h = -7*h + 2*l + 6. Suppose -h*w + 0 = -c. Solve -3*y = -0*y + w for y. -5 Suppose 0 = -31*t + 30*t + q + 5, t = -2*q + 5. Solve 0 = 33*w - 127 - t for w. 4 Let r = -1699 - -1802. Solve 0 = -6*p - r + 121 for p. 3 Let t(n) be the second derivative of -n**5/20 + 17*n**4/12 - 17*n**3/6 + 17*n**2/2 - 82*n. Let i be t(16). Solve -2*u = -i + 9 for u. -4 Suppose 4*o - 5*f - 16 = 0, -11*f = -5*o - 16*f + 65. Let n be (-2)/(-3) + 35/15. Solve n = -2*m + o for m. 3 Let q be ((-6)/4)/(9/(-228)). Suppose -a = s - 5, -5*a = -4*s - 7*a + 22. Suppose s*x - 52 - q = 0. Solve -2*w + x = w for w. 5 Let l be 16*(-14)/35 + (-2)/(-5). Let c be (((-15)/2)/5)/(l/40). Suppose c*h = -h. Solve 2*w + h*w = 2 for w. 1 Suppose -13*t = 4*x - 11*t - 52, -23 = -x - 3*t. Suppose -x*g + 63 = 10*g. Solve g*q + 1 = 2*q for q. -1 Let y(j) = -20*j + 404. Let g be y(20). Solve g*i - 35 = -47 for i. -3 Let r = 192 - 178. Suppose -5*u = -r*u + 62*u. Solve -5*p + 19 - 19 = u for p. 0 Let q be 836/6 + 13/((-156)/(-8)). Let d be (9/(-15))/((-42)/q). Solve 0 = -0*k + d*k + 6 for k. -3 Let r = 1 + 1. Let s = 253 - 235. Let o be (s - 30)*(-1)/2. Solve -r - o = 4*a for a. -2 Suppose -2*c = 2*h - 10, -5 = -11*c + 10*c - 3*h. Solve 7*j = -c - 16 for j. -3 Suppose 0 = 35*f - 34*f - 1. Suppose 0 = 7*q - f - 27. Let l(t) = 3*t**2 + t - 2. Let w be l(1). Solve w*k = -2*k + q for k. 1 Let u(h) = -16 + 2*h + 33 - h - 18. Let s be u(4). Solve s - 5 = -2*q for q. 1 Let j be (-2)/(-1 + -1) + 0 - -4. Suppose -q - 1 = 3*k, 0 = k - 5*q - 4 - 1. Suppose -4*n = j*d - k*n - 32, 3*d + n - 15 = 0. Solve d = -2*t + t for t. -4 Let i = -10048 - -10167. Solve 0 = 14*t - 35 + i for t. -6 Suppose -857*p = -870*p + 10803. Let s = -829 + p. Suppose -70 = -5*m - 5*i, -2*m + i = 2*m - 36. Solve -m + s = -2*x for x. 4 Suppose 4*o = 5*d - 3326, 3*d - 7 = -1. Let n = o + 888. Solve -n = -5*b - 74 for b. -3 Let c(b) = -81 + 29*b - 19*b - 20*b. Let i be c(-9). Solve i = r + 5 for r. 4 Let f = 29 + -55. Let g = f - -27. Suppose 3*x - 2*x - g = -u, -5*u + 35 = -x. Solve i - u*i + 20 = 0 for i. 4 Let j be 68/6 + -1 - 50/(-75). Suppose -j*c = 19*c - 26*c. Solve c*b - 16 = 4*b for b. -4 Suppose 0 = 3*i + 6, -3*o - 10*i + 15*i = -784. Solve o = 15*t + 168 for t. 6 Let f be 33/44*(-1)/(2/1000). Let t = -375 - f. Solve -3*m + 6 - 3 = t for m. 1 Suppose -14*o = 18*o - 6880. Solve -12 = 211*c - o*c for c. 3 Let s be (12 - (1 - -5)) + -6. Solve 2 = 2*m - s for m. 1 Suppose 3*s - 6 = 0, -2*s = -8*n + 7*n + 3. Suppose -n*i = 22 - 57. Solve 5*w - i = 5 for w. 2 Suppose -46053 + 16813 = -213*o + 66397. Solve z - o = -456 for z. -7 Let d be (-9390)/12*((-1)/(-4) - 1012/80). Solve d = 4*v + 9723 for v. -5 Suppose -3*c = 0, -2*c + 3*c - 1284 = -4*i. Let x = i - 272. Solve 0 = 53*m - x*m + 12 for m. -3 Let i(g) = -g**3 - 2*g**2 - 3*g - 11. Let t = 33 - 36. Let c be i(t). Solve -c*o = -3*o for o. 0 Let c(o) = -2*o**3 + 251*o**2 + 133*o - 858. Let n be c(126). Solve n = -3520*l + 3512*l for l. -3 Let s = 302 + -591. Let g = s - -292. Solve 0 = -2*y + y - g for y. -3 Let b(c) = -91*c - 2666. Let z be b(-30). Solve 24*j - z*j - 240 = 0 for j. -6 Let i = -170 - -167. Let h(b) = 5*b**2 + 12*b - 5. Let z be h(i). Solve 3*l - 11 = z for l. 5 Suppose -28*n = -5*o - 26*n + 59, 5*n = -35. Solve 56 = 13*x - o for x. 5 Let j(c) = 7 - 53 - 10*c - 10 + 12. Let o be j(-5). Solve -o*l = -5*l + 4 for l. -4 Let b(z) = z**3 + 9*z**2 - 5*z + 3. Let n be b(-10). Let u = -29 - n. Suppose 17*o = 14*o + u. Solve -4*i + o - 2 = 0 for i. 1 Suppose 0 = 2*o - 2*u - 57 - 119, -o - u + 70 = 0. Solve -16*s + 33 = -o for s. 7 Let g = -73 + 75. Suppose g*m = 3*j, -5*m + 2 = -5*j - 3. Solve 0 = -4*l - j*l for l. 0 Let c be (-14)/49 + (-1 - (-111)/21). Let o be (6/4)/((-5)/150*-3). Solve -o = -h - c*h for h. 3 Suppose 9*p + 18*p = 13*p + 1176. Solve
{ "pile_set_name": "DM Mathematics" }
e Which is the second biggest value? (a) -2 (b) 0.155 (c) 0.3 b Which is the third smallest value? (a) -7 (b) -0.7 (c) -2 (d) 1 b What is the second biggest value in 2, -9/2, 0.14? 0.14 Which is the second smallest value? (a) -13 (b) 19 (c) -4 c What is the second biggest value in -9, 1, 3/2? 1 Which is the smallest value? (a) -2 (b) 0.04 (c) -4 (d) 1.6 (e) 3/8 c Which is the fifth smallest value? (a) 1/4 (b) 2 (c) -3 (d) 290 (e) 2/3 d Which is the second smallest value? (a) -1/3 (b) -5 (c) -0.08 a Which is the biggest value? (a) -0.2 (b) -13 (c) 0 c Which is the third biggest value? (a) 0.1 (b) -9 (c) -10 c What is the fourth biggest value in 1, 16, -0.5, 0, -0.01? -0.01 Which is the second biggest value? (a) -0.2 (b) 2/11 (c) -3/7 (d) -9/2 a What is the third smallest value in 0.5, 0.4, -8, -2/11? 0.4 What is the second smallest value in 0.1, 0.15, -0.3, -52, 1/5? -0.3 Which is the second biggest value? (a) 4/11 (b) -1/8 (c) 0 c What is the second biggest value in 4, 3, -61, -0.1, -3.2? 3 Which is the biggest value? (a) 0.02 (b) -1/5 (c) 22 c Which is the fourth smallest value? (a) 0.37 (b) -1/4 (c) -2/17 (d) -0.3 (e) -0.2 c What is the second biggest value in -1/892, 1, -1.4, -1/2? -1/892 Which is the third smallest value? (a) -1/3 (b) 0.5 (c) 4 (d) -6 b Which is the third smallest value? (a) 1 (b) -2 (c) -2/7 (d) -2/3 c Which is the third biggest value? (a) 4 (b) -43 (c) -3 b What is the second biggest value in -4, -0.0211, -12? -4 Which is the fourth smallest value? (a) -0.1 (b) 1/3 (c) -4 (d) 0.05 (e) 6 b What is the third biggest value in -3, -10, 2/65? -10 Which is the smallest value? (a) 0 (b) -62 (c) -0.1 b What is the third smallest value in -2/7, -14/183, 5? 5 Which is the third smallest value? (a) 0.003 (b) -3/4 (c) 0.2 c What is the fifth smallest value in -8, -2/25, 5, -2, -17? 5 What is the fifth smallest value in 1, 4/3, -0.4, 2/9, 2.2? 2.2 Which is the second smallest value? (a) 2/51 (b) 5 (c) -2/3 (d) 4 (e) 1/5 a What is the third biggest value in 5, -2, -1/4, -4, -17/5? -2 Which is the biggest value? (a) -0.1 (b) -882 (c) -3 a Which is the smallest value? (a) -3/7 (b) 5 (c) 143.15 a What is the third biggest value in 4.9, 3, 2? 2 What is the third biggest value in -5, -0.08, 4/9, 1/3? -0.08 Which is the second biggest value? (a) -3 (b) -0.1 (c) 11 b Which is the third biggest value? (a) -3 (b) 1.4 (c) 17 a What is the second smallest value in -2, -0.1, 2/11, 30/7? -0.1 What is the third smallest value in -1/6, 1, -1/78, -4? -1/78 What is the biggest value in -8, -2/15, -299? -2/15 What is the fourth smallest value in -0.5, -0.4, -5, 2/243? 2/243 What is the biggest value in -1, 66.8, 1/8? 66.8 What is the second biggest value in 0, 84, -1, -2? 0 What is the third biggest value in 0.1, -23, 0.3, 1? 0.1 What is the second smallest value in -0.1, -2, 0.3? -0.1 Which is the third smallest value? (a) -1 (b) 3 (c) -6/13 b What is the third biggest value in -1, 4/53, 4? -1 What is the biggest value in 1/9, -3, 0.5? 0.5 Which is the third biggest value? (a) -2/51 (b) -2 (c) 2 b What is the biggest value in 0.5, -1/13, 0.3, 11? 11 Which is the third biggest value? (a) 0.4 (b) -6/13 (c) -2 (d) -0.4 b Which is the fourth biggest value? (a) -0.2 (b) 4 (c) -4 (d) 26 c Which is the biggest value? (a) -5 (b) -2 (c) 155 c Which is the third smallest value? (a) 551 (b) -0.1 (c) 1/8 (d) 0.1 c Which is the third smallest value? (a) -1/7 (b) -8087 (c) 4 c Which is the fourth biggest value? (a) -2/3 (b) -1 (c) 94 (d) 0 b Which is the biggest value? (a) 0 (b) 13 (c) 0.1 (d) -0.17 b What is the fourth biggest value in -1/5, 0.1, -118, 1/7? -118 Which is the second smallest value? (a) -5/4 (b) 5 (c) -0.2 (d) 4/7 (e) 5.5 c Which is the second smallest value? (a) -5 (b) -3/5 (c) -1144 a Which is the second smallest value? (a) -54/13 (b) -2 (c) 2/3 (d) -4 d Which is the fifth smallest value? (a) -0.3 (b) 257 (c) 2/21 (d) -0.2 (e) -1 b Which is the smallest value? (a) -5 (b) -2 (c) -0.4 a What is the fourth smallest value in 4/5, 0.18, 2, 8? 8 Which is the second biggest value? (a) -6 (b) 10/3 (c) -0.01 (d) 4 b Which is the fourth smallest value? (a) -0.11 (b) -2/3 (c) -2 (d) -0.3 (e) 0 a Which is the smallest value? (a) -2/3 (b) 4/87 (c) 0.5 (d) -5 (e) 0.2 d Which is the second smallest value? (a) -2/5 (b) -4 (c) -3 (d) -101 (e) -0.1 b Which is the smallest value? (a) -0.2 (b) -48 (c) 3/4 b Which is the third smallest value? (a) 6 (b) 53 (c) -0.1 b What is the fourth smallest value in -3/5, -0.2, 2/5, 2/17, 3/7? 2/5 What is the smallest value in -0.25, 3, 2, -3.2? -3.2 Which is the third biggest value? (a) 1 (b) 2 (c) 0 (d) -0.05 c Which is the fourth biggest value? (a) -2/5 (b) 3/4 (c) 10 (d) -16 d What is the smallest value in -401, -1/4, -1/2, 1? -401 What is the fourth biggest value in -1, 0.5, 13, -2/3? -1 Which is the biggest value? (a) -0.03 (b) 6 (c) 2/7 b What is the second smallest value in 3, -1, -3.429, -2? -2 What is the smallest value in 2, -0.22, -1/4? -1/4 What is the second smallest value in 30, 9, 1, -1/2? 1 Which is the second smallest value? (a) 0.052 (b) 2 (c) 2/7 (d) 1/2 (e) 2/9 e Which is the third smallest value? (a) 0.3 (b) -47 (c) 16 (d) 0.2 (e) -0.3 d Which is the third biggest value? (a) 0.4 (b) -3 (c) 33 (d) -4 b Which is the second biggest value? (a) 1/4 (b) 97 (c) 1/3 (d) -9 c What is the second biggest value in 1, -1/3, -1/6? -1/6 What is the biggest value in 1025, 0, 0.5, 0.02? 1025 What is the smallest value in 1/3, 1, 0.6? 1/3 What is the third biggest value in 4, 7/26, 3? 7/26 What is the fourth smallest value in -1/8, 7, 0.4, -9? 7 Which is the third biggest value? (a) -0.4 (b) 5 (c) 30/13 (d) 3 (e) 4 d What is the fourth biggest value in 0.2, 0, 31, -0.1? -0.1 Which is the third smallest value? (a) -0.1 (b) 0.56 (c) 0 b Which is the second smallest value? (a) 2 (b) -45/7 (c) -2/11 (d) -12 b What is the third smallest value in 1, -0.13, -1/2, 3? 1 What is the fourth smallest value in -1/5, 8/9, 2, 3? 3 What is the second biggest value in -9, 3, 9? 3 What is the third smallest value in 0.3, -0.15, -23/4? 0.3 Which is the biggest value? (a) 20/9 (b) 3/8 (c) 0.3 a What is the second smallest value in 5, -2/41, -16? -2/41 What is the third biggest value in 3, 0.4, -4, -12, 7? 0.4 What is the biggest value in -10/9, 5, 0.086? 5 Which is the smallest value? (a) -0.2 (b) 0.2 (c) -0.81 c What is the second biggest value in 1/2, 5, 2/13, -0.2? 1/2 What is the smallest value in 1, 0.4, 0.2, 9? 0.2 What is the biggest value in 22, -24, 0? 22 Which is the third smallest value? (a) 2/5 (b) -3 (c) -0.15 (d) 1/134 d What is the third biggest value in -2/13, -2/9, 4, -2, 55? -2/13 What is the smallest value in -1, -5, 124? -5 Which is the second smallest value? (a) 5 (b) 2/15 (c) -3 (d) 1/2 b What is the fifth biggest value in 4/7, 2, -0.4, -0.27, 15/16? -0.4 Which is the second biggest value? (a) -6 (b) -32 (c) 4 a Which is the second biggest value? (a) -2/11 (b) -3/10 (c) -9 (d) 1/3 a What is the second smallest value in -131, 3, 1, 0.3? 0.3 What is the fourth biggest value in -2, -0.83, -0.022, 1? -2 What is the second biggest value in -8/9, 0.2, -0.2? -0.2 Which is the biggest value? (a) -4 (b) 0.01 (c) -3 b What is the fourth biggest value in 1/4, 4, -0.1, 2, 0.1? 0.1 Which is the smallest value? (a) -3 (b) -0.03 (c) 30 (d) 0 a What is the third biggest value in -25, -17/3, 2? -25 What is the fourth biggest value in 0.5, 0.1, -5, 0.6? -5 Which is the second biggest value? (a) 2 (b) 1/2 (c) 121 a What is the fourth smallest value in 10, -4, -2, -1/3? 10 What is the third smallest value in 0.1, -0.1, 0.072, -0.3? 0.072 Which is the smallest value? (a) -52 (b) 2/3 (c) 2/45 a What is the smallest value in 1/6, 4, -336/17? -336/17 What is the fourth biggest value in 1.1, 1, -1/2, 0.3, -11? -1/2 Which is the third biggest value? (a) -2/9 (b) 2/43 (c) 1/2 a What is the third smallest value in 2, 4.9, -3? 4.9 What is the second biggest value in -5/2, -7, 0.159? -5/2 What is the second smallest
{ "pile_set_name": "DM Mathematics" }
ppose z**3/4 - 2*z**2 - z + 8 = 0. Calculate z. -2, 2, 8 Factor j**2/9 - 307*j/9 + 34. (j - 306)*(j - 1)/9 Factor -2*g**4 + 328*g**3 - 18144*g**2 + 349920*g - 629856. -2*(g - 54)**3*(g - 2) Factor 3*l**2/5 - 3343*l/5 - 446. (l - 1115)*(3*l + 2)/5 Factor -2*q**2/5 + 2*q/5 + 12/5. -2*(q - 3)*(q + 2)/5 Suppose -5*d**4 + 165*d**3 - 740*d**2 + 1140*d - 560 = 0. Calculate d. 1, 2, 28 Solve 8*r**4 - 2252*r**3 - 7964*r**2 - 4576*r + 4560 = 0. -2, 1/2, 285 Factor -2*s**3/3 + 4*s**2/3 + 2*s/3 - 4/3. -2*(s - 2)*(s - 1)*(s + 1)/3 Let n**4/7 - 4*n**3/7 - 87*n**2/7 + 94*n/7 + 176/7 = 0. Calculate n. -8, -1, 2, 11 Find n, given that 2*n**2/7 - 32*n/7 + 128/7 = 0. 8 Factor -j**3/3 - 5*j**2 - 21*j - 49/3. -(j + 1)*(j + 7)**2/3 Factor w**3 - 123*w**2 + 1139*w - 1017. (w - 113)*(w - 9)*(w - 1) Suppose 2*q**5/9 + 61*q**4/9 + 98*q**3/3 + 488*q**2/9 + 328*q/9 + 25/3 = 0. Calculate q. -25, -3, -1, -1/2 Factor 3*j**4 + 330*j**3 + 1536*j**2 - 4074*j + 2205. 3*(j - 1)**2*(j + 7)*(j + 105) Solve -3*f**5/5 + 87*f**4/5 - 912*f**3/5 + 840*f**2 - 1680*f + 1200 = 0. 2, 5, 10 Determine d so that -2*d**2/3 + 16*d - 238/3 = 0. 7, 17 Factor -4*h**4 + 292*h**3 - 5464*h**2 + 4608*h + 10368. -4*(h - 36)**2*(h - 2)*(h + 1) Solve -h**3 + 16*h**2 - 15*h = 0. 0, 1, 15 Determine z so that -4*z**3 - 68*z**2 - 224*z - 208 = 0. -13, -2 Solve 155*i**2 + 12100*i + 780 = 0 for i. -78, -2/31 Find f, given that 2*f**3 - 42*f**2 + 198*f - 270 = 0. 3, 15 Factor 196*d**2 - 84*d + 9. (14*d - 3)**2 Let 4*d**5/5 + 24*d**4/5 - 168*d**3/5 - 464*d**2/5 + 3108*d/5 - 3528/5 = 0. What is d? -7, 2, 3 Let -4*z**4 - 68*z**3 - 252*z**2 - 108*z + 432 = 0. Calculate z. -12, -3, 1 Let 2*n**3/5 + 12*n**2/5 - 64/5 = 0. Calculate n. -4, 2 Factor 5*m**4 + 15*m**3 - 165*m**2 + 265*m - 120. 5*(m - 3)*(m - 1)**2*(m + 8) Find g, given that -303*g**3 + 604*g**2 - 299*g - 2 = 0. -2/303, 1 Factor -25*i**5 - 130*i**4 + 116*i**3 - 24*i**2. -i**2*(i + 6)*(5*i - 2)**2 What is n in -6*n**5/11 - 4632*n**4/11 = 0? -772, 0 Solve 8*m**5/11 - 239*m**4/11 + 834*m**3/11 - 724*m**2/11 - 104*m/11 = 0. -1/8, 0, 2, 26 Factor -3*y**2 + 3066*y - 783363. -3*(y - 511)**2 Find n such that 60*n**4 - 302*n**3 + 200*n**2 + 474*n + 72 = 0. -4/5, -1/6, 3 Factor -x**5/3 - 3*x**4 - 8*x**3/3. -x**3*(x + 1)*(x + 8)/3 Let 4*m**4/13 - 2*m**3 - 14*m**2/13 + 144*m/13 + 72/13 = 0. Calculate m. -2, -1/2, 3, 6 Solve -d**4/3 + 2*d**3 + 20*d**2/3 - 8*d - 64/3 = 0. -2, 2, 8 What is p in -2*p**4/15 - 14*p**3/15 + 34*p**2/15 - 6*p/5 = 0? -9, 0, 1 Suppose -2*k**2/5 - 318*k/5 = 0. What is k? -159, 0 Suppose -2*a**3/7 + 120*a**2/7 - 1800*a/7 = 0. Calculate a. 0, 30 Factor -3*i**5/7 + 66*i**4/7 - 234*i**3/7 + 48*i**2 - 219*i/7 + 54/7. -3*(i - 18)*(i - 1)**4/7 Solve -y**5/8 + 9*y**4/4 - 21*y**3/4 - 7*y**2 + 171*y/8 - 45/4 = 0. -2, 1, 3, 15 Solve 4*g**4 - 320*g**3 + 7284*g**2 - 56520*g + 86400 = 0 for g. 2, 15, 48 Find j such that -4*j**5 + 124*j**4/5 - 84*j**3/5 - 188*j**2/5 + 8*j = 0. -1, 0, 1/5, 2, 5 Suppose 2*s**3/3 + 992*s**2/3 - 998*s/3 - 1988/3 = 0. What is s? -497, -1, 2 Determine i so that -228*i**4/7 - 1376*i**3/7 - 300*i**2 - 72*i/7 = 0. -3, -2/57, 0 Factor o**4 + 831*o**3 + 173053*o**2 + 170565*o - 344450. (o - 1)*(o + 2)*(o + 415)**2 Suppose -3*m**3 - 6012*m**2 - 4016016*m - 894232896 = 0. Calculate m. -668 Factor -2*k**3 - 142*k**2 - 2448*k + 2592. -2*(k - 1)*(k + 36)**2 Factor s**3/8 - 129*s**2/4 + 19305*s/8 - 41067. (s - 117)**2*(s - 24)/8 Suppose 2*s**5 + 18*s**4 + 54*s**3 + 46*s**2 - 48*s - 72 = 0. What is s? -3, -2, 1 Factor -2*i**3/7 + 2*i**2/7 + 52*i/7 + 48/7. -2*(i - 6)*(i + 1)*(i + 4)/7 Factor 4*r**2/7 - 2448*r/7. 4*r*(r - 612)/7 Factor 68*h**2 - 264*h - 32. 4*(h - 4)*(17*h + 2) Determine j, given that j**4/4 + 51*j**3/4 + 141*j**2/2 + 137*j + 90 = 0. -45, -2 Suppose -4*i**5 + 256*i**4 + 1068*i**3 + 1352*i**2 + 544*i = 0. Calculate i. -2, -1, 0, 68 Suppose -4*t**4/3 + 13*t**3 + 18*t**2 + 11*t/3 = 0. Calculate t. -1, -1/4, 0, 11 Suppose -w**3/2 - 14*w**2 - 98*w = 0. Calculate w. -14, 0 Find o such that -2*o**2/5 - 280*o - 49000 = 0. -350 Let -k**4 - 18*k**3 + 25*k**2 + 114*k = 0. What is k? -19, -2, 0, 3 Factor -4*f**4 - 4*f**3 + 4*f**2 + 4*f. -4*f*(f - 1)*(f + 1)**2 Let -2*h**2 + 44*h - 144 = 0. Calculate h. 4, 18 Factor 4*o**2 - 7608*o + 3617604. 4*(o - 951)**2 Solve -5*f**2/2 - 30*f + 65/2 = 0 for f. -13, 1 Let -42592*m**5 - 3872*m**4 + 25520*m**3 - 11200*m**2 + 20750*m/11 - 1250/11 = 0. Calculate m. -1, 5/22 Factor -4*b**2 + 44*b - 96. -4*(b - 8)*(b - 3) Find y such that 3*y**3/4 + 15*y**2/2 = 0. -10, 0 Factor -q**4/2 - 3*q**3 + 229*q**2/2 + 117*q. -q*(q - 13)*(q + 1)*(q + 18)/2 Suppose -32*l**3 - 200*l**2 + 748*l + 420 = 0. What is l? -35/4, -1/2, 3 Let -v**3 - 3*v**2 + 4 = 0. What is v? -2, 1 Solve -5*z**3 + 350*z**2 + 1460*z + 1480 = 0. -2, 74 Factor -r**2/2 + 347*r - 120409/2. -(r - 347)**2/2 Factor 4*n**2 - 144*n + 1292. 4*(n - 19)*(n - 17) What is c in -c**2/4 + 27*c/4 - 25/2 = 0? 2, 25 Factor -4*g**2 + 5736*g - 5732. -4*(g - 1433)*(g - 1) Factor 4*v**2 - 9248*v + 5345344. 4*(v - 1156)**2 Factor -b**4 + 91*b**3 + 185*b**2 + 93*b. -b*(b - 93)*(b + 1)**2 Find c such that -6591*c**4 - 569868*c**3 - 262080*c**2 - 40272*c - 2064 = 0. -86, -2/13 Determine q so that 4*q**2 - 12*q - 216 = 0. -6, 9 What is t in 722*t**2 - 3040*t + 3200 = 0? 40/19 Solve -3*x**3 + 2202*x**2 = 0 for x. 0, 734 Factor 2*y**3 - 1776*y**2 - 7128*y - 7136. 2*(y - 892)*(y + 2)**2 Let -5*y**4 + 40*y**3 - 115*y**2 + 140*y - 60 = 0. Calculate y. 1, 2, 3 Solve -3*y**5 + 54*y**4 + 972*y**3 + 3240*y**2 = 0. -6, 0, 30 What is g in -g**2 - 324*g - 26244 = 0? -162 What is f in -f**3/4 + 171*f**2/4 - 9747*f/4 + 185193/4 = 0? 57 Solve -11*g**2/9 - 14*g/9 + 16/9 = 0. -2, 8/11 Factor 3364*u**3/7 + 2900*u**2 + 697*u/7 + 6/7. (u + 6)*(58*u + 1)**2/7 Suppose -s**2 - 39*s - 324 = 0. Calculate s. -27, -12 Factor 4*h**2 - 12068*h + 12064. 4*(h - 3016)*(h - 1) Find r such that -r**5/5 + 38*r**4/5 + r**3 - 38*r**2 - 4*r/5 + 152/5 = 0. -2, -1, 1, 2, 38 Determine d so that d**5 + 4*d**4 - 2*d**3 - 12*d**2 + 9*d = 0. -3, 0, 1 Find i such that -i**5 - 10*i**4 - 18*i**3 + 40*i**2 + 19*i - 30 = 0. -6, -5, -1, 1 Factor -4*s**2 + 1136*s + 1140. -4*(s - 285)*(s + 1) Solve -m**3/4 - 81*m**2/2 - 6561*m/4 = 0 for m. -81, 0 Solve -5*p**5 - 715*p**4 + 2175*p**3 - 2185*p**2 + 730*p = 0. -146, 0, 1 Factor 7*k**3/6 - 58*k**2/3 + 32*k/3. k*(k - 16)*(7*k - 4)/6 Factor -2*r**2/5 + 12*r + 62/5. -2*(r - 31)*(r + 1)/5 Find r such that r**5/7 - 12*r**4/7 + 8*r**3/7 + 38*r**2/7 - 57*r/7 + 22/7 = 0. -2, 1, 11 What is r in r**5/3 - 85*r**4/3 + 557*r**3/3 - 863*r**2/3 + 130*r = 0? 0, 1, 5, 78 Solve 15*s**4 - 25*s**3 - 25*s**2 + 25*s + 10 = 0 for s. -1, -1/3, 1, 2 Determine h, given that h**4/2 - 70*h**3 + 2379*h**2 + 4970*h + 5041/2 = 0. -1, 71 Determine w so that -3*w**3 - 35562*w**2 - 105387987*w = 0. -5927, 0 Suppose -2*z**4/9 - 4*z**3/3 + 26*z**2/3 - 32*z/9 - 40/3 = 0. What is z? -10, -1, 2, 3 Factor -5*x**3 - 335*x**2 + 5*x + 335. -5*(x - 1)*(x + 1)*(x + 67) Suppose -5*w**4 + 225*w**3 + 490*w**2 - 900*w - 1880 = 0. Calculate w. -2, 2, 47 Factor -2*n**2 - 368*n + 1504. -2*(n - 4)*(n + 188) Factor -3*p**3 + 21*p - 18. -3*(p - 2)*(p - 1)*(p + 3) Let -8*j**3/9 + 70*j**2/9 + 98*j/9 + 20/9 = 0. What is j? -1, -1/4, 10 Factor -3*r**2/2 + 18*r - 81/2. -3*(r - 9)*(r - 3)/2 Factor -2*b**5/9 + 22*b**4/9 - 14*b**3/9 - 98*b**2/3. -2*b**2*(b - 7)**2*(b + 3)/9 Factor w**2/6 + 13*w/3 + 23/2. (w + 3)*(w + 23)/6 Factor 3*g**2 + 12*g - 15. 3*(g - 1)*(g + 5) Suppose g**4/5 - 9*g**3 + 464*g**2/5 - 84*g = 0. Calculate g. 0, 1, 14, 30 Find t such that 5*t**3/4 - 233*t**2/4 + 69*t/2 = 0. 0, 3/5, 46 Suppose 2106*y**2 + 72*y + 8/13 = 0. Calculate y. -2/117 Factor 2*o**2/5 + 38*o/5 + 96/5. 2*(o + 3)*(o + 16)/5 Find l such that 2*l**5 + 8*l**4 - 106*l**3 + 152*l**2 + 104*l - 160 = 0. -10, -1, 1, 2, 4 Solve 39*v**4 - 119*v**3 + 84*v**2 - 4*v = 0 for v. 0, 2/39, 1, 2 Factor -5*x**2 - 950*x. -5*x*(x + 190) Solve 25*d**2 + 20*d = 0 for d. -4/5, 0 Let 20*o**5 + 15*o**4 - 65*o**3 - 85*o**2 - 15*o + 10 = 0. What is o? -1, 1/4, 2 What is k in 3*k**3 - 7512*k**2/7 + 670713*k/7 + 192246/7 = 0? -2/7, 179 Determine t so that 12*t**4 - 128*t**3 + 404*t**2 - 432*t + 144 = 0. 2/3, 1, 3, 6 Let 9*q**5/4 + 87*q**4/2 + 291*q**3/2 - 612*q**2 + 2409*q/4 - 363/
{ "pile_set_name": "DM Mathematics" }
173. Let l be i(57). Let w(v) = 7*v**3 + v - 2. What is l*c(o) - 3*w(o)? -7*o**3 - 2*o**2 - o Let a(x) = -9171*x**2 - 36684*x + 36684. Let p(l) = -l + 1. Give a(j) - 36684*p(j). -9171*j**2 Let c = 87 - 92. Let u(y) = -3*y + 4. Let p(b) = 2*b + 3 + 2*b - 6*b - b. Calculate c*u(f) + 6*p(f). -3*f - 2 Let n(x) be the first derivative of -x**2/2 + 8*x - 925. Let z(c) = c - 8. Calculate -3*n(w) - 4*z(w). -w + 8 Let r(x) = 19*x - 1381. Let v be r(73). Let h(s) = -9*s**2 - 3*s - 7. Let z(a) = -10*a**2 - 4*a - 8. What is v*h(k) - 5*z(k)? -4*k**2 + 2*k - 2 Let o(j) = -1506*j + 24. Let u(x) = 375*x - 5. What is -2*o(q) - 9*u(q)? -363*q - 3 Let t(o) = 39*o**3 + 2*o**2 + 2. Let n(m) = 37*m**3 + 7 - 57*m**3 - 41*m**3 + 7*m**2 + 178*m**3. Calculate 2*n(p) - 7*t(p). -39*p**3 Suppose 169*v - 68 = 135*v. Let t(r) = 2*r**3 - 2*r**2 - r + 1. Let i(s) = 6*s**3 - 7*s**2 - 2*s + 3. What is v*i(n) - 7*t(n)? -2*n**3 + 3*n - 1 Let c(h) = 8*h**3 + 2*h**2 + 6*h + 1. Let w = 41 + -81. Let y = w + 46. Let n(o) = 0*o**2 - 7*o**3 - 144 + 143 - 5*o - 2*o**2. Calculate y*n(x) + 5*c(x). -2*x**3 - 2*x**2 - 1 Let v(m) = 9*m**2 - 63*m + 6. Let p(g) = 8*g**2 - 56*g + 6. Give 5*p(j) - 4*v(j). 4*j**2 - 28*j + 6 Let u(m) = -11*m**2 - 2*m + 35. Let x(v) = 4*v**2 + v - 12. Let z be (-10)/(-14 - 60/(-4)) - (-3 + 1). What is z*x(c) - 3*u(c)? c**2 - 2*c - 9 Let c(g) = g**2 + g - 1. Let x(y) be the third derivative of -4*y**5/5 - 11*y**4/8 + 11*y**3/2 - 16*y**2 + 75. Determine 66*c(q) + 2*x(q). -30*q**2 Let f(z) = 4*z**2 - 7*z + 11. Let p(b) = 9*b**2 - 16*b + 21. Give 7*f(c) - 3*p(c). c**2 - c + 14 Let g(o) = -5*o**2 - 3*o**2 + 0*o**2 - 2*o**2 - 6*o. Let q = 104 + -100. Suppose 2 = -2*m + q*m. Let c(i) = -i**2 - i. Give m*g(h) - 6*c(h). -4*h**2 Let x(u) = u**2 + u + 29. Let i(q) = 179*q**2 - q - 174. Give -i(t) - 6*x(t). -185*t**2 - 5*t Let t(p) = -119*p - 15. Let h(k) = 158*k + 22. What is 8*h(u) + 11*t(u)? -45*u + 11 Let m(p) = 7*p**3 - 4*p**2 + 11*p + 4. Suppose 3*n + 436*o - 431*o + 13 = 0, -2*o - 2 = -2*n. Let j(d) = -d**3 + d**2 - d - 1. Calculate n*m(x) - 4*j(x). -3*x**3 - 7*x Let b(d) = -3*d**2 + 2*d - 1. Let q(p) = -2*p**2 - 7*p + 4. Give 10*b(t) + 2*q(t). -34*t**2 + 6*t - 2 Let c(s) = -4*s**2 + 9*s - 4. Suppose 3*j - 35 = -2*k, 10 + 30 = 4*k - 4*j. Let a(l) = 3 - 52 - 3*l + 7 - 2*l**2 + 45 + 7*l - 5. Calculate k*a(x) - 6*c(x). -2*x**2 - 2*x - 2 Let n be (92 + -97)*(2 - 1). Let y(c) = -15*c - 5. Let u(l) = -16*l - 4. Determine n*u(z) + 4*y(z). 20*z Let i(p) = -23627 + 4*p - 2*p**3 + p**2 + 23627. Let j(f) = -f**3 + f**2. What is -i(g) + j(g)? g**3 - 4*g Let d = 22 - 35. Let m(g) = -168*g - 9402. Let f be m(-56). Let p(c) = 7*c**2 + 6*c. Let t(v) = 15*v**2 + 13*v. Give d*p(x) + f*t(x). -x**2 Suppose 0 = 18*r - 16*r - 10, -2*r + 35 = 5*d. Let t(g) = -g - 10. Let p(s) = s + 11. Determine d*p(n) + 6*t(n). -n - 5 Let c(u) = -8*u**2 + 5*u + 9. Let r be ((3 - 2) + 294)*4/(-4). Let v = r + 301. Let b(i) = -7*i**2 + 4*i + 8. What is v*b(m) - 5*c(m)? -2*m**2 - m + 3 Let b(h) = 10*h**3 - 2*h**2 + 2*h + 3. Let k(c) = -4*c**2 + c**2 + 674*c**3 + 683*c**3 - 1346*c**3 - 4*c + 6*c + 4. What is 3*b(t) - 2*k(t)? 8*t**3 + 2*t + 1 Let k(v) = -694*v**2 + 14*v + 83. Let c(q) = 139*q**2 - 3*q - 17. Determine 14*c(y) + 3*k(y). -136*y**2 + 11 Suppose -449 = 12*w - 473. Let y(k) = 1 + 4*k + 0*k + 1. Suppose -a + d + 1 = a, -2*a - 14 = -4*d. Let b(c) = -5*c - 3. Determine a*y(m) + w*b(m). 2*m Let h(b) = -19*b**2 - 567*b - 4. Let k(c) = 51*c**2 + 1703*c + 11. Give -8*h(o) - 3*k(o). -o**2 - 573*o - 1 Let m = -15 - -12. Let x = 251 - 240. Suppose x*f - 70 = 18. Let d(r) = 14*r**2 - 8*r - 1. Let c(o) = 5*o**2 - 3*o. What is f*c(v) + m*d(v)? -2*v**2 + 3 Let o(x) = -x**2 + 3*x - 1. Let y(l) = 1313*l + 1 - 437*l - 439*l - 436*l. Determine o(h) - 4*y(h). -h**2 - h - 5 Let n(t) = -t + 2. Let v(p) = 5*p**2 + 6*p - 24. Determine -3*n(x) - v(x). -5*x**2 - 3*x + 18 Let m(v) be the first derivative of -301*v**3/3 - 49*v**2/2 + 49*v - 1273. Let t(z) = -25*z**2 - 4*z + 4. Determine -4*m(q) + 49*t(q). -21*q**2 Let r(i) = 3*i**2 - 12. Let m(g) = -g**2. Calculate 4*m(q) + r(q). -q**2 - 12 Let i(o) = -9*o + 54 - 17*o + 15*o**2 - 4*o + 6*o. Let n(t) = 3*t**2 - 5*t + 11. Let s(z) = 5*i(z) - 24*n(z). Let f(a) = -3*a**2 - 5. Determine 6*f(h) + 5*s(h). -3*h**2 Let n(k) = 51*k - 5. Let v(o) = 30*o - 5. Let x(g) = -2*n(g) + 3*v(g). Suppose -7 = 3*t + 17. Let s(f) = -18*f - 8. What is t*x(a) + 5*s(a)? 6*a Let m(f) = -3*f**2 + 5. Suppose 1 = 2*a + 7. Let q be 12/18 - 1/a. Let b(h) = 167. Let y(w) = -417. Let r(k) = 5*b(k) + 2*y(k). Give q*m(t) - 5*r(t). -3*t**2 Let n(z) = -z**2 - 15*z - 15. Let j be n(-1). Let c(o) = -5*o - 2. Let h(u) = -u - 1. What is j*c(r) + 3*h(r)? 2*r - 1 Let g(a) = -a**2 + 16*a + 5. Let u = -19 + 17. Suppose -i - 22 = -3*i. Let x(l) be the first derivative of 3*l**2/2 + l + 35. Give i*x(m) + u*g(m). 2*m**2 + m + 1 Let y(a) = 2*a + 2. Let s(h) = -h + 1. Suppose -11 = -4*w - 3. Let g(p) = w*y(p) + 6*s(p). Let l(d) = -1. What is -g(o) - 8*l(o)? 2*o - 2 Let y(a) = 54470*a + 117. Let f(g) = -1878*g - 4. Determine -117*f(b) - 4*y(b). 1846*b Let n(p) = -32*p**3 + 17*p**2 - 6. Let w = 113 - 119. Let y be (w/(-12))/(1/(-68)*-2). Let u(v) = -11*v**3 + 6*v**2 - 2. Calculate y*u(d) - 6*n(d). 5*d**3 + 2 Let g(k) = -5*k + 5. Let u(w) = 4 + 25*w - 57*w + 28*w. Let q be (-8)/(-12) - 57/(-9). Suppose -5*a + q + 8 = 0. What is a*u(v) - 2*g(v)? -2*v + 2 Let q(c) = -7*c**2 - 7*c - 900. Let b(k) = -31*k**2 - 32*k - 3602. Give -2*b(r) + 9*q(r). -r**2 + r - 896 Let f(m) = 13*m**3 - m**2 + 5*m - 5. Let q(h) = -h + 1. Suppose 5079*a - 5084*a - 25 = 0. Calculate a*q(c) - f(c). -13*c**3 + c**2 Let c(l) = -337*l**2 - 4*l - 2. Let o(k) = 1020*k**2 + 11*k + 5. Calculate 8*c(d) + 3*o(d). 364*d**2 + d - 1 Suppose 146*j = 116*j - 97 - 23. Let f(c) be the third derivative of c**4/8 + 2*c**2. Let p(r) = 3*r. Determine j*p(i) + 3*f(i). -3*i Let t(v) = 4*v**2 + 8*v. Let l(y) = -y**2 - y - 1. Let r(m) = l(m) - t(m). Let h(p) = -2*p**2 - 4*p. Let a be 14/(-4)*(-4 - -2). Give a*h(o) - 3*r(o). o**2 - o + 3 Let o(u) be the second derivative of -3*u**3/2 - 11*u**2/2 - 2431*u. Let x(t) = 5*t + 5. Determine -6*o(z) - 11*x(z). -z + 11 Let r(g) = -7*g**2 - 7*g + 3. Let a(u) = 10*u**2 + 10*u - 4. Let p(h) = -137*h - 543. Let w be p(-4). Let c = -8 + 15. What is c*r(x) + w*a(x)? x**2 + x + 1 Suppose 49 = -4*t - 3*t. Let s(g) = g**3 + 5*g**2 - 16*g - 12. Let v be s(t). Let o(m) = 0*m - 3*m - v + 2*m - 1. Let d(y) = 3. Determine -3*d(k) - 2*o(k). 2*k - 3 Let z(h) = 579*h + 858. Let n(r) = r + 26. Give -66*n(t) + 2*z(t). 1092*t Let h(d) = 9*d**3 - 11*d + 39. Let w(p) = 5 + 15 - 2*p + 171*p**3 - 342*p**3 + 176*p**3 - 4*p. What is -6*h(t) + 11*w(t)? t**3 - 14 Let x be (0 + 1/1)/(-1). Let u(z) = z**2 + 626 - z - 1256 + 629 + z**3. Let o(a) = -6*a**3 - 10*a**2 + 10*a + 10. Let n = -31 - -21. What is n*u(d) + x*o(d)? -4*d**3 Let w(v) = -7 + 5*v**2 + 0 - 2980*v + 0*v**2 - 3*v**2 + 2976*v. Suppose -3*g - 2 + 5 = 0. Let h(o) = g - 2*o - 4*o + 7*o. Determine -6*h(a) - w(a). -2*a**2 - 2*a + 1 Let o = 15094 - 15089. Let g(z) = -7*z - 1. Let s(d) = -3*d - 1. Determine o*s(w) - 2*g(w). -w - 3 Let k(l) = 0 - 2 + 4*l - 8*l + 5*l. Let q(i) be the second derivative of -i**3/3 + 5*i**2/2 + i - 56. What is 5*k(t) + 3*q(t)? -t + 5 Let w(u) = u**2 - u - 1. Let k(d) = d**2 + 113*d - 1231. Let a be k(10). Let l(v) = -v - 2. Calculate a*w(r) - l(r). -r**2 + 2*r + 3 Let u(p) = -1916*p + 52. Let k(n) = -1277*n + 32. Calculate 8*k(l) - 5*u(l). -636*l - 4 Let t(q) = -12*q + 12. Let i be 32 + -30 + (-20)/(-1). Let r(f) be the first derivative of -5 + f - 1/2*f**2. Calculate i*r(j) - 2*t(j). 2*j - 2 Let d(q) = -48*q**3 - 3*q**2 - 2*q - 26. Let o(v) = -6*v**3 - v**2 - v + 1. What is d(n) - 5*o(n)? -18*n**3 + 2*n**2 + 3*n - 31 Let c(m) = 4*m - 4 + 4 + m**2 - 2*m. Let l(q) = 14*q - 81. Let a be l(6). Let x(n) = n**2 + 2*n - 1. Calculate a*x(z) - 2*c(z). z**2 + 2*z - 3 Let u(n) = 13*n**3 + 20*n**2 - 2*n - 7. Let x(w) = 3 + 10*w**2 - 5*w**3 + 2051*w - 6 - 2052*w + 11*w**3. Determine -3*u(z) + 7*x(z). 3*z**3 + 10*z**2 - z Let z(y) = 5*y + 152395 + 3*y**2 - 5*y**2 - 152397. Let m(i) = i**2 - i - 1. Give -2*m(a) + z(a). -4*a**2 + 7*a Let b(t) = 13*t**2 - 1752*t - 68. Let d(j) = -32*j**2 + 4380*j
{ "pile_set_name": "DM Mathematics" }
places. -1.933 What is -113.3456 rounded to one dp? -113.3 Round 1097340.3 to the nearest 100. 1097300 Round -0.05725608 to 2 dps. -0.06 Round 10.15006 to one decimal place. 10.2 What is 0.00014766 rounded to 3 dps? 0 Round -0.0000348151 to 5 dps. -0.00003 Round -23.52898 to zero decimal places. -24 Round 0.005235155 to 5 decimal places. 0.00524 Round -20.1113 to 0 decimal places. -20 What is -0.0000080182 rounded to six decimal places? -0.000008 What is -3995081000 rounded to the nearest one million? -3995000000 What is -7.73432 rounded to 2 decimal places? -7.73 What is -0.000394865 rounded to 5 dps? -0.00039 What is -0.1516266 rounded to 2 decimal places? -0.15 Round -26462 to the nearest one hundred. -26500 What is 0.010491125 rounded to 3 dps? 0.01 What is 0.1463902 rounded to four decimal places? 0.1464 What is 0.0005673465 rounded to 4 dps? 0.0006 What is 0.00022969596 rounded to 7 decimal places? 0.0002297 Round 7847.42 to the nearest one hundred. 7800 What is -313.191 rounded to the nearest ten? -310 Round -0.00002117836 to 7 dps. -0.0000212 What is 11171937 rounded to the nearest one hundred thousand? 11200000 What is 0.70547593 rounded to one decimal place? 0.7 Round -147178 to the nearest ten thousand. -150000 Round 4871600 to the nearest 10000. 4870000 What is -1048.56 rounded to zero decimal places? -1049 Round 0.00000546197 to 6 decimal places. 0.000005 Round 1190.1981 to the nearest 100. 1200 Round -8938545.5 to the nearest 1000. -8939000 Round -19.215074 to two dps. -19.22 What is 0.000140891 rounded to five decimal places? 0.00014 Round 0.060677933 to four dps. 0.0607 Round -0.0000194271 to 7 dps. -0.0000194 Round 479164.8 to the nearest 10000. 480000 Round -2212930.1 to the nearest one hundred thousand. -2200000 What is 1823.56 rounded to the nearest integer? 1824 What is -19773.6 rounded to the nearest 1000? -20000 Round -0.00000131315 to five dps. 0 What is 373.84339 rounded to the nearest 10? 370 Round -9.87538 to zero dps. -10 Round 0.00000001692 to 7 decimal places. 0 Round -614205710 to the nearest 1000000. -614000000 Round 0.0003124897 to five decimal places. 0.00031 Round 8.782 to 0 decimal places. 9 Round -0.000006343633 to six dps. -0.000006 What is -1224.374 rounded to the nearest ten thousand? 0 Round -0.00000457212 to six decimal places. -0.000005 What is 0.0000073825 rounded to 6 dps? 0.000007 What is -0.03206471 rounded to five dps? -0.03206 Round -0.4772071 to 1 dp. -0.5 Round -4.4209 to 1 decimal place. -4.4 Round -129637050 to the nearest one hundred thousand. -129600000 Round -0.00014218 to five decimal places. -0.00014 What is 913.85 rounded to the nearest ten? 910 Round 429.492 to the nearest 10. 430 Round 504603.3 to the nearest 1000. 505000 What is -0.0000776017 rounded to 5 decimal places? -0.00008 Round -0.000006316599 to seven decimal places. -0.0000063 Round 6325.42 to the nearest 10. 6330 Round 9398.72 to the nearest one hundred. 9400 Round -0.0000406615 to 7 dps. -0.0000407 Round 0.0002140139 to six dps. 0.000214 Round 0.000755209 to 5 dps. 0.00076 What is 0.0000067628951 rounded to 6 decimal places? 0.000007 What is -3143.297 rounded to the nearest 100? -3100 What is 561.82 rounded to the nearest one thousand? 1000 Round -0.00042233943 to five dps. -0.00042 Round -3731539 to the nearest one million. -4000000 What is -1079908500 rounded to the nearest one million? -1080000000 What is -0.2405695 rounded to two dps? -0.24 What is -0.00099139 rounded to three decimal places? -0.001 Round 35170 to the nearest one hundred. 35200 What is 0.0001339192 rounded to seven dps? 0.0001339 Round -0.005501043 to 5 dps. -0.0055 Round -7.66028 to 0 decimal places. -8 Round -189093.8 to the nearest 1000. -189000 Round -3468348 to the nearest 1000. -3468000 What is 11.01129 rounded to 0 dps? 11 Round -24091.3 to the nearest 1000. -24000 Round 0.004296752 to 5 decimal places. 0.0043 What is 0.000010886055 rounded to 6 dps? 0.000011 Round 10027.312 to the nearest ten. 10030 Round 0.002872778 to 4 dps. 0.0029 What is 0.592808 rounded to 2 decimal places? 0.59 What is -0.00107878 rounded to 4 dps? -0.0011 Round -0.010359244 to four decimal places. -0.0104 What is -4310.03 rounded to the nearest 10? -4310 What is -2855.13 rounded to the nearest one hundred? -2900 Round 177545.3 to the nearest 1000. 178000 Round 4371662 to the nearest one hundred thousand. 4400000 Round 23826660 to the nearest 100000. 23800000 Round 1915210 to the nearest 1000000. 2000000 What is -0.000221735 rounded to 5 decimal places? -0.00022 What is 79722 rounded to the nearest one hundred thousand? 100000 What is 867655.01 rounded to the nearest ten thousand? 870000 What is -0.00001522 rounded to four decimal places? 0 What is -999.6225 rounded to zero dps? -1000 Round 6489.5 to the nearest one hundred. 6500 What is -0.006565686 rounded to five decimal places? -0.00657 What is -89887000 rounded to the nearest 1000000? -90000000 Round 816270 to the nearest 1000000. 1000000 What is 0.0000196711 rounded to 7 decimal places? 0.0000197 What is -37687.67 rounded to the nearest one thousand? -38000 Round 0.00149258 to 5 decimal places. 0.00149 What is -0.0152378 rounded to three dps? -0.015 Round 7.44418 to 0 decimal places. 7 Round -5049700400 to the nearest one million. -5050000000 What is 1335.057 rounded to the nearest ten? 1340 Round -0.000203432 to 6 decimal places. -0.000203 Round -0.0112036 to 4 dps. -0.0112 What is 1360.0472 rounded to the nearest 100? 1400 Round -15.8529 to the nearest 10. -20 Round 0.00007651104 to 7 decimal places. 0.0000765 Round 470.426 to the nearest ten. 470 What is 6446.64 rounded to the nearest one hundred? 6400 What is 0.00119303 rounded to 3 decimal places? 0.001 Round 0.00001582697 to seven dps. 0.0000158 What is 2457.9489 rounded to the nearest 1000? 2000 Round -47486.17 to the nearest 10. -47490 Round -0.04624429 to three decimal places. -0.046 Round -6.093254 to one decimal place. -6.1 What is -0.01762279 rounded to three decimal places? -0.018 What is -0.2541112 rounded to 2 dps? -0.25 What is 51.532 rounded to the nearest 10? 50 What is 10.373835 rounded to the nearest integer? 10 Round 310.3338 to the nearest ten. 310 What is 47043.3 rounded to the nearest one hundred? 47000 Round 95.5441 to one dp. 95.5 Round -10.766442 to one decimal place. -10.8 Round 0.0000002935612 to 7 dps. 0.0000003 What is 1870050 rounded to the nearest ten thousand? 1870000 Round 273.8 to the nearest 10. 270 Round -0.000000190297 to 7 decimal places. -0.0000002 Round 35925560 to the nearest 100000. 35900000 What is -67078.92 rounded to the nearest 100? -67100 What is -1917.178 rounded to the nearest ten? -1920 Round -0.0383607 to 4 decimal places. -0.0384 What is 0.001325289 rounded to 6 dps? 0.001325 What is -1590553 rounded to the nearest 10000? -1590000 Round 272628700 to the nearest one million. 273000000 What is -87.34329 rounded to two decimal places? -87.34 What is 0.0927737 rounded to two dps? 0.09 What is -0.00014346243 rounded to 7 dps? -0.0001435 What is 4876140 rounded to the nearest one hundred thousand? 4900000 Round 0.137332 to 3 decimal places. 0.137 What is 0.05592391 rounded to two dps? 0.06 Round 0.092578 to 3 decimal places. 0.093 Round -128.4674 to the nearest ten. -130 What is -1.84748 rounded to 0 dps? -2 Round 130.7524 to 1 dp. 130.8 Round -158232600 to the nearest one million. -158000000 Round -128.327 to the nearest 10. -130 What is 6481.17 rounded to the nearest 100? 6500 Round -0.000017725751 to seven decimal places. -0.0000177 What is 29841.89 rounded to the nearest ten thousand? 30000 Round 0.00135801 to 4 decimal places. 0.0014 What is 0.000236641 rounded to 6 dps? 0.000237 Round 357765330 to the nearest 100000. 357800000 What is 36172490 rounded to the nearest one hundred thousand? 36200000 Round 5.26807 to 1 dp. 5.3 Round 0.001930415 to 4 dps. 0.0019 What is -0.0000225541 rounded to 6 dps? -0.000023 Round 3542.097 to the nearest ten. 3540 What is 34137510 rounded to the nearest one hundred thousand? 34100000 What is -0.0000060727399 rounded to 7 dps? -0.0000061 Round 0.0000004011479 to 7 dps. 0.0000004 What is 0.000000589377 rounded to 6 decimal places? 0.000001 What is -2619.82 rounded to the neare
{ "pile_set_name": "DM Mathematics" }
78? 76 Calculate the remainder when 353 is divided by 51. 47 Calculate the remainder when 154 is divided by 89. 65 Calculate the remainder when 8095 is divided by 55. 10 What is the remainder when 149 is divided by 19? 16 What is the remainder when 15793 is divided by 44? 41 Calculate the remainder when 202 is divided by 9. 4 What is the remainder when 452 is divided by 154? 144 What is the remainder when 80 is divided by 41? 39 What is the remainder when 768 is divided by 195? 183 What is the remainder when 1655 is divided by 47? 10 What is the remainder when 367 is divided by 8? 7 What is the remainder when 10359 is divided by 10? 9 What is the remainder when 616 is divided by 126? 112 Calculate the remainder when 5 is divided by 4. 1 What is the remainder when 2590 is divided by 24? 22 Calculate the remainder when 129 is divided by 11. 8 What is the remainder when 665 is divided by 26? 15 What is the remainder when 428 is divided by 398? 30 What is the remainder when 270 is divided by 92? 86 Calculate the remainder when 207 is divided by 19. 17 Calculate the remainder when 4649 is divided by 178. 21 Calculate the remainder when 1723 is divided by 21. 1 What is the remainder when 88 is divided by 30? 28 Calculate the remainder when 4222 is divided by 235. 227 What is the remainder when 1297 is divided by 52? 49 Calculate the remainder when 5994 is divided by 240. 234 What is the remainder when 10454 is divided by 205? 204 Calculate the remainder when 89 is divided by 51. 38 Calculate the remainder when 10228 is divided by 2554. 12 Calculate the remainder when 920 is divided by 104. 88 What is the remainder when 239 is divided by 10? 9 Calculate the remainder when 299 is divided by 120. 59 Calculate the remainder when 44 is divided by 4. 0 What is the remainder when 2272 is divided by 35? 32 Calculate the remainder when 91 is divided by 16. 11 What is the remainder when 2415 is divided by 93? 90 Calculate the remainder when 1285 is divided by 13. 11 What is the remainder when 212 is divided by 43? 40 What is the remainder when 1509 is divided by 24? 21 What is the remainder when 269 is divided by 21? 17 Calculate the remainder when 286 is divided by 16. 14 Calculate the remainder when 753 is divided by 72. 33 Calculate the remainder when 2103 is divided by 238. 199 Calculate the remainder when 372 is divided by 94. 90 What is the remainder when 75 is divided by 55? 20 Calculate the remainder when 839 is divided by 42. 41 Calculate the remainder when 1022 is divided by 4. 2 What is the remainder when 3568 is divided by 83? 82 Calculate the remainder when 1723 is divided by 122. 15 What is the remainder when 105 is divided by 97? 8 Calculate the remainder when 299 is divided by 30. 29 What is the remainder when 4746 is divided by 70? 56 What is the remainder when 975 is divided by 113? 71 What is the remainder when 47 is divided by 17? 13 Calculate the remainder when 56 is divided by 46. 10 Calculate the remainder when 508 is divided by 7. 4 Calculate the remainder when 77 is divided by 8. 5 Calculate the remainder when 404 is divided by 49. 12 What is the remainder when 175 is divided by 10? 5 What is the remainder when 11481 is divided by 18? 15 Calculate the remainder when 4551 is divided by 23. 20 What is the remainder when 248 is divided by 4? 0 What is the remainder when 68 is divided by 15? 8 Calculate the remainder when 973 is divided by 10. 3 What is the remainder when 177 is divided by 53? 18 What is the remainder when 101 is divided by 37? 27 Calculate the remainder when 6101 is divided by 71. 66 Calculate the remainder when 179 is divided by 7. 4 Calculate the remainder when 2293 is divided by 764. 1 What is the remainder when 25 is divided by 12? 1 Calculate the remainder when 232 is divided by 73. 13 What is the remainder when 3915 is divided by 28? 23 What is the remainder when 2466 is divided by 176? 2 Calculate the remainder when 46 is divided by 23. 0 What is the remainder when 2257 is divided by 34? 13 Calculate the remainder when 257 is divided by 24. 17 What is the remainder when 195 is divided by 28? 27 What is the remainder when 719 is divided by 99? 26 Calculate the remainder when 286 is divided by 6. 4 What is the remainder when 1537 is divided by 85? 7 Calculate the remainder when 3171 is divided by 19. 17 What is the remainder when 5577 is divided by 60? 57 Calculate the remainder when 117 is divided by 116. 1 Calculate the remainder when 8363 is divided by 68. 67 Calculate the remainder when 305 is divided by 275. 30 What is the remainder when 2958 is divided by 22? 10 Calculate the remainder when 25 is divided by 2. 1 What is the remainder when 60 is divided by 13? 8 What is the remainder when 619 is divided by 9? 7 Calculate the remainder when 456 is divided by 123. 87 What is the remainder when 233 is divided by 222? 11 What is the remainder when 160 is divided by 24? 16 Calculate the remainder when 256 is divided by 68. 52 What is the remainder when 324 is divided by 66? 60 Calculate the remainder when 325 is divided by 158. 9 What is the remainder when 18867 is divided by 111? 108 Calculate the remainder when 1317 is divided by 65. 17 What is the remainder when 7743 is divided by 88? 87 What is the remainder when 298 is divided by 50? 48 Calculate the remainder when 346 is divided by 10. 6 What is the remainder when 1220 is divided by 111? 110 What is the remainder when 1103 is divided by 9? 5 What is the remainder when 75 is divided by 33? 9 Calculate the remainder when 167 is divided by 35. 27 Calculate the remainder when 61 is divided by 17. 10 Calculate the remainder when 175 is divided by 5. 0 What is the remainder when 10419 is divided by 5? 4 What is the remainder when 4008 is divided by 63? 39 What is the remainder when 796 is divided by 50? 46 What is the remainder when 1150 is divided by 524? 102 Calculate the remainder when 4342 is divided by 106. 102 What is the remainder when 109 is divided by 14? 11 Calculate the remainder when 97 is divided by 10. 7 What is the remainder when 273 is divided by 6? 3 Calculate the remainder when 184 is divided by 36. 4 Calculate the remainder when 728 is divided by 21. 14 Calculate the remainder when 348 is divided by 70. 68 Calculate the remainder when 91 is divided by 29. 4 What is the remainder when 943 is divided by 21? 19 Calculate the remainder when 329 is divided by 117. 95 Calculate the remainder when 1726 is divided by 851. 24 What is the remainder when 251 is divided by 12? 11 Calculate the remainder when 34 is divided by 9. 7 What is the remainder when 905 is divided by 151? 150 What is the remainder when 1561 is divided by 54? 49 Calculate the remainder when 831 is divided by 180. 111 What is the remainder when 715 is divided by 4? 3 Calculate the remainder when 1638 is divided by 327. 3 Calculate the remainder when 205 is divided by 10. 5 What is the remainder when 73 is divided by 1? 0 Calculate the remainder when 109 is divided by 38. 33 Calculate the remainder when 291 is divided by 19. 6 Calculate the remainder when 2534 is divided by 53. 43 What is the remainder when 352 is divided by 59? 57 What is the remainder when 45231 is divided by 88? 87 Calculate the remainder when 7838 is divided by 80. 78 What is the remainder when 388 is divided by 253? 135 What is the remainder when 946 is divided by 10? 6 Calculate the remainder when 107 is divided by 31. 14 Calculate the remainder when 18993 is divided by 4. 1 What is the remainder when 3692 is divided by 105? 17 What is the remainder when 36 is divided by 26? 10 Calculate the remainder when 21540 is divided by 129. 126 Calculate the remainder when 200 is divided by 60. 20 What is the remainder when 80 is divided by 9? 8 Calculate the remainder when 155 is divided by 142. 13 Calculate the remainder when 64 is divided by 32. 0 What is the remainder when 371 is divided by 16? 3 What is the remainder when 1183 is divided by 37? 36 Calculate the remainder when 88 is divided by 23. 19 What is the remainder when 59406 is divided by 207? 204 What is the remainder when 3179 is divided by 212? 211 Calculate the remainder when 27839 is divided by 348. 347 What is the remainder when 144 is divided by 39? 2
{ "pile_set_name": "DM Mathematics" }
+ 12. Suppose -48 = 4*u - 3*s, -3*u + 0*u - 4*s - 61 = 0. Are l and u equal? False Let f(y) = y**2 + 75*y + 9. Let s(n) = 2*n**2 + 225*n + 29. Let r(g) = -7*f(g) + 2*s(g). Let u be r(-25). Which is greater: u or -7/2? -7/2 Suppose 0 = -4*t + 3*t + 5*s - 4, -5*s = -3*t + 8. Suppose 28 = 11*k + t. Which is smaller: k or 1? 1 Let v(i) = -i + 3. Let b(a) = 20*a + 216. Let w(k) = -b(k) - 8*v(k). Let s be w(-7). Is -158 <= s? True Let t(y) = y**3 - 41*y**2 - 183*y + 2. Let n be t(45). Is n at least as big as -138? True Let f be 56/(-112) + 30/4. Suppose -5*z + 20 = -0*z. Suppose 0 = -5*j + z*j + 3. Which is bigger: f or j? f Let f = 52 + -294. Let o = f + 239. Let b = 0.1 + -0.1. Is o at least as big as b? False Let d = -4703/22 + -74/11. Which is smaller: d or -220? d Suppose -10*n + 3991 = -909. Let i = 518 - n. Suppose -4*z + 29 = 4*q - 71, -3*z = -5*q - 91. Which is smaller: z or i? z Suppose -3*v + 5*m + 406 = -0*m, -2*v + 270 = -4*m. Let u = v - 138. Let s be (8/10)/(14/(-25)). Is u at least s? True Let h = -454 - -454.46. Which is smaller: 10 or h? h Let y(l) = l**2 + 13*l + 12. Suppose 0 = -2*d + 4*p - 20, -3*d - 5*p = -6*d - 31. Let q be y(d). Which is greater: 20/21 or q? 20/21 Let l = -1389241/8721 + 3027/19. Let t = l + -4918/18819. Which is smaller: 0 or t? t Let q = -17383/881640 - -2/7347. Is q equal to 1? False Let l be (-3)/(3/(-374)) + 8/14. Let p = -374 + l. Is 2 at most as big as p? False Let w(c) be the first derivative of 4*c**2 + 391*c + 277. Let q be w(-54). Is 3 >= q? True Let p be -6 + 26/247 + 112/19. Which is greater: 1/136 or p? 1/136 Let b = 10 + -22. Let f = -170 - b. Let i = f + 478/3. Is 2 at most i? False Let v be ((-24)/(-20))/(249/727910). Is v greater than 3507? True Let m(k) = k**3 + 7*k**2 + k. Let x be m(-6). Let r = x + 16. Let v(l) = -97069*l - 97022. Let i be v(-1). Which is bigger: r or i? i Let y be (-17 - 0)*-358*(-10)/(-20). Let a = 12097/4 - y. Is a >= -18? False Let k be 27/(-204) + 2/8 + (-1610)/3570. Is 87 smaller than k? False Suppose -4*n = -131*o + 135*o + 8876, -4*n + 4*o - 8828 = 0. Is n greater than -2210? False Let n = -27 - -28. Let l be -2 - -4 - 5 - (n - 10). Let o be l/(1/(21/(-6))). Is o <= -21? True Let p be 126/(-21) + (2 - -6). Suppose 468 = p*q - g, 3*q - 249 = 5*g + 439. Is q bigger than 236? False Let j = 202 - 132. Suppose 0 = 179*r - 188*r + 630. Is j <= r? True Let y(b) = -54*b**2 - 5*b + 3. Let z be y(1). Let j = -84 - z. Let u be (6/36)/((-1)/j). Is 6 at most as big as u? False Let n be ((-48)/(-16))/(2 - (-14)/(-6)). Is 44 equal to n? False Let l(c) = -12*c - 17. Let i(o) = o**2 + 35*o + 51. Let h(x) = -2*i(x) - 7*l(x). Let n be h(8). Is n at most 1/55? False Let o = -5505 - -5504. Is o greater than 2/21129? False Let o = -13 + 6. Let j(p) = 14*p - 115. Let a be 1702/207 + 4/(-18). Let y be j(a). Is y greater than o? True Suppose -6*b + 8*b - 54 = 0. Suppose -3*w + 3*v - 18 = 0, -5*v - 7 - b = 3*w. Let x be 3 - (19 + (-28)/4). Which is greater: w or x? w Suppose 447*g - 350 = 437*g. Is 536/15 greater than g? True Let j = 19479/728035 - -3/3355. Let m = 788/12803 - j. Is -7/5 at least m? False Suppose s + 1 + 0 = 0. Let t be (-4)/14 + 321*(-2)/(-42). Suppose t*m + 55 = -50. Is m <= s? True Let d = 327 + -175. Suppose -8*n = 11*n + 1805. Let x = d + n. Is x less than or equal to 57? True Let k be 122/6 - 4/(-6). Suppose 5*h - 3*x - 2*x = -230, h = -4*x - k. Suppose -5*n - 25*g + 24*g = 211, -3*g = -3*n - 123. Is h bigger than n? True Let n = 6079 - 6999. Does -3685/4 = n? False Suppose -2*s - 4 = -3*s. Suppose 3*t - h - 14 = 0, s*t - 16 = -0*t + 2*h. Suppose -m = -t*m + 10. Is 2 at most as big as m? True Let v = -3388.9277 - -3389. Which is smaller: v or -1? -1 Let c be ((-2)/(-6))/(3/9)*111. Which is greater: c or 114? 114 Suppose 4*l = 198 + 222. Let u = -25880 - -25879. Which is bigger: u or l? l Suppose 22506 = -9*p - 0*p + 6801. Do p and -1745 have different values? False Suppose -232 = -47*n + 43*n. Let q = -168 + n. Which is greater: -108 or q? -108 Let p(x) = x**2 - 8*x - 9. Let m be p(10). Let k(g) = -g**2 + 13*g - 24. Let w be k(m). Are -22/15 and w nonequal? True Let h be (17121/1035)/13 - (-2)/(-6). Let y = h - 488/69. Let l = y - -34/5. Is 2 bigger than l? True Let r = -715.12 - -703. Let i = -12 - r. Let s = -0.08 - i. Is 2/31 less than or equal to s? False Suppose -3*w - 227*n = -222*n + 804, 3*w + 750 = 4*n. Which is smaller: -265 or w? -265 Let d be (3/(-9))/((-50)/3). Let f be 272/(-10)*(-12 + 7). Suppose 0 = -f*g + 132*g. Are d and g nonequal? True Suppose 5*t + 2*s = 274, -10*t + 104 = -8*t - 2*s. Suppose 28*w - 30*w = -t. Are 30 and w equal? False Let i = -13 - 3. Let m be -39*8/24 + (-30)/15. Which is smaller: i or m? i Let a = -14454 + 205059/14. Let r be (3 - 36/8)*(-772)/(-6). Let h = r + a. Is 1 greater than h? True Let j(g) = g**3 + g**2 - 4*g - 3. Let b be j(-2). Let a = 16 - 15. Let u be a/((-12)/(-63)) - (-9)/(-3). Which is smaller: u or b? b Suppose 100*w + 28697 = 10155 - 29758. Is w at least -485? True Let t = 144566 - 144565.9. Let a(s) = -7*s**2 + 5*s - 17. Let j(q) = 3*q**2 - 2*q + 8. Let x(b) = -4*a(b) - 9*j(b). Let n be x(4). Which is smaller: t or n? t Let m = 35650 - 1817806/51. Is 8 < m? False Let b = -4390 - -4391. Is b greater than -5/189? True Let s = -0.057 - 47.943. Let j = s + 59. Let c = j - 10.9. Which is smaller: -2/5 or c? -2/5 Let n = 1.8617 + -283.8617. Is -4 greater than n? True Let r = 0.03741 + -33.03741. Which is smaller: -1/69 or r? r Suppose 0*f + 1 = -f. Suppose -6*s - 153 = -75. Let o be 104/s - (-11 - -3). Which is smaller: f or o? f Let b = -2534 - -2542. Which is greater: b or 122/17? b Let w = -86 + 94. Let h be (w/(-42))/(6/21). Is h equal to 0? False Let v(f) = -10*f**2 - 370*f + 458. Let g be v(-39). Are g and -322 equal? True Let c = -21816142/941 + 23184. Let b(o) = -o - 2. Let l be b(-3). Is c > l? False Let z(t) = t**2 + 98*t. Let j be z(-98). Which is bigger: j or -2/2251? j Let t = 0.332 + -1.202. Let y = t + -134.13. Which is smaller: -2/5 or y? y Suppose 168 = 15*j - 6222. Let w = j + -448. Which is bigger: w or -13? -13 Let x(r) = r**2 - 5*r - 22. Let o be x(8). Suppose 33 = o*a + 39. Is -3 equal to a? True Let r be 1*3/(12/20) + -2. Let i(q) = 2*q - 32. Suppose -3*w + 32 = -w. Let t be i(w). Which is greater: r or t? r Let i be 265/(-1325) + (-11)/(-30). Which is greater: 801/2 or i? 801/2 Let j = -9325 - -9312. Do -81/7 and j have the same value? False Suppose -5*o + 55770 = -5*t, -356*o + 358*o - 22299 = -t. Do o and 11152 have different values? True Suppose 4*t + 114 = -3*g - 83, 2*t - 311 = 5*g. Let k be 1*(4/10 - g/105). Is k at least 5/8? True Suppose -2*c = c - 21. Let f = 960 - 957. Suppose -f*q + 70 = c*q. Which is smaller: q or -0.2? -0.2 Let x = -0.0213 + 0.0213. Let t be (-4)/(-3)*(-12)/2. Let g = -2 - t. Is g greater than x? True Let t(l) = -52*l - 48. Let v be t(-1). Suppose 0 = 35*f - 31*f + v. Is 436 at least as big as f? True Let k = -77.11 + -2.89. Let r = -55 - k. Is 2/7 smaller than r? True Suppose -4*v = -2*b - 700, 4*v - 4*b + 3*b = 700. Let d = v + -213. Which is smaller: d or -35? d Let g = -38.90756 + -0.09244. Which is smaller: g or -3.5? g Let a = 10924 + -10922. Which is smaller: -729 or a? -729 Let y be (-1 + 3 - 413)/(-2 - 1). Let a = y + -135. Which is smaller: a or -10? -10 Let y = -2621.72 - -2514. Let b = 108 + y. Which is bigger: b or 1? 1 Let k(f) = -f**3 - 16*f**2 - 29*f - 6. Let b be k(-14). Let v be ((-687)/12)/(2/b). Let a = -2517/11 - v. Which is smaller: a or -0.15? -0.15 Let x be (-19 + 870/42)/(316/(-14)). Let u = 0 - 0. Which is bigger: u or x? u Suppose -15788 = -50*z + 3962. Is z > 395? False Suppose 0 = -80*j + 40*j - 240. Is j greater than -106/15? True Let h = -82 - -18. Let j = 67 + h. Suppose -7*v + j = -4. Is -1 bigger than v? False Let v be (698/(-2229412))/(1 + 6/(-8)). Which is bigger: v or 1? 1 Let i = 86.15 + -82. Let t = i + -0.25. Let f(s) = s**3 - s**2 - 3*s - 2. Let p be f(-1). Which is greater: p or t? t Let z(c) = 34*c**2 + c - 1133. Let p be z(0). Let w = p + 1144. Let k(v) = 11*v**2 - 2*v - 1. Let h be k(-1). Which is smaller: h or w? w Let j = -8 - -13. Suppose 4*v - 5*c + 111 = 0, j*v + 3*c = -2*c - 105. Which is bigger: v or -20
{ "pile_set_name": "DM Mathematics" }
a. 1/35 Four letters picked without replacement from nbooyvb. What is prob of picking 1 n, 1 o, and 2 b? 2/35 Two letters picked without replacement from {b: 1, m: 2, s: 1}. Give prob of picking 1 m and 1 s. 1/3 What is prob of picking 1 m, 2 z, and 1 q when four letters picked without replacement from {z: 6, q: 3, o: 3, g: 3, v: 1, m: 1}? 9/476 Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {a: 1, g: 4, n: 1, u: 4}. 4/45 Two letters picked without replacement from uhhjjhj. What is prob of picking 1 j and 1 h? 3/7 Calculate prob of picking 1 f and 3 t when four letters picked without replacement from ffttpttfntf. 4/33 What is prob of picking 2 q and 1 c when three letters picked without replacement from {k: 7, o: 1, q: 4, c: 1}? 3/143 Three letters picked without replacement from jjejjeejjjjejejejj. Give prob of picking 1 j and 2 e. 15/68 Calculate prob of picking 1 t and 1 f when two letters picked without replacement from {f: 12, t: 6}. 8/17 Calculate prob of picking 1 s, 2 c, and 1 q when four letters picked without replacement from kkkcckqskkqscqs. 9/455 What is prob of picking 1 m and 1 y when two letters picked without replacement from {m: 2, o: 1, u: 1, y: 2, x: 1}? 4/21 Four letters picked without replacement from owbwyfyyqfbbow. Give prob of picking 1 o, 2 w, and 1 q. 6/1001 Four letters picked without replacement from {q: 1, u: 10, b: 6}. Give prob of picking 1 u, 1 b, and 2 q. 0 Calculate prob of picking 1 a and 1 o when two letters picked without replacement from {d: 1, o: 3, a: 1}. 3/10 Three letters picked without replacement from {s: 2, l: 11}. Give prob of picking 3 l. 15/26 Three letters picked without replacement from ofvwxccvffwf. What is prob of picking 1 v, 1 o, and 1 w? 1/55 Calculate prob of picking 3 z when three letters picked without replacement from {z: 13, k: 3}. 143/280 Calculate prob of picking 2 g when two letters picked without replacement from fgffflfolffgrfoffli. 1/171 Four letters picked without replacement from {w: 5, h: 9}. Give prob of picking 4 w. 5/1001 What is prob of picking 1 c and 1 y when two letters picked without replacement from ycyy? 1/2 Three letters picked without replacement from yzwgwya. Give prob of picking 2 y and 1 z. 1/35 What is prob of picking 1 k and 1 f when two letters picked without replacement from qqvlljljqkllkqfq? 1/60 What is prob of picking 1 k and 1 b when two letters picked without replacement from yykkbykyyykykkbkkkkk? 11/95 What is prob of picking 2 y and 1 v when three letters picked without replacement from ypdvcvecy? 1/42 Calculate prob of picking 1 a, 2 r, and 1 b when four letters picked without replacement from brbbrab. 4/35 Two letters picked without replacement from dgvvddvvgvvv. What is prob of picking 1 v and 1 g? 7/33 Calculate prob of picking 1 v, 1 k, and 2 c when four letters picked without replacement from cggvgckcvgcccgn. 2/91 Two letters picked without replacement from {e: 1, d: 1, w: 3, b: 1, z: 3, l: 2}. Give prob of picking 1 d and 1 z. 3/55 Three letters picked without replacement from {b: 1, g: 1, a: 1, t: 1, h: 1}. What is prob of picking 1 t, 1 a, and 1 g? 1/10 Two letters picked without replacement from uuquuquuqu. Give prob of picking 2 u. 7/15 What is prob of picking 1 g and 1 e when two letters picked without replacement from {g: 7, e: 7}? 7/13 Four letters picked without replacement from ehjjhejejee. Give prob of picking 3 j and 1 h. 4/165 Three letters picked without replacement from nnnsnbb. Give prob of picking 2 n and 1 b. 12/35 Two letters picked without replacement from {f: 1, o: 5, q: 7}. Give prob of picking 2 q. 7/26 Calculate prob of picking 1 w, 1 y, and 2 a when four letters picked without replacement from {w: 4, a: 5, y: 7}. 2/13 What is prob of picking 1 t and 3 h when four letters picked without replacement from {h: 1, t: 3}? 0 Two letters picked without replacement from qddkqdqdkdq. What is prob of picking 1 q and 1 k? 8/55 Calculate prob of picking 3 i when three letters picked without replacement from iiiqiiqixiqiiq. 3/13 Two letters picked without replacement from mmmmmntmmmnmtmnmrrtm. Give prob of picking 2 r. 1/190 What is prob of picking 1 h and 1 f when two letters picked without replacement from ffeehhehhefherhhe? 21/136 Two letters picked without replacement from {c: 1, k: 1, v: 2, u: 2, r: 2}. Give prob of picking 1 u and 1 k. 1/14 Calculate prob of picking 2 h when two letters picked without replacement from {g: 4, h: 3}. 1/7 What is prob of picking 1 o and 1 s when two letters picked without replacement from {n: 5, s: 1, p: 4, o: 1}? 1/55 Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {k: 2, m: 6, p: 3, n: 2}. 1/13 Calculate prob of picking 1 b and 2 e when three letters picked without replacement from yebgeeb. 6/35 Four letters picked without replacement from {y: 4, j: 15}. What is prob of picking 1 j and 3 y? 5/323 Calculate prob of picking 2 s when two letters picked without replacement from ssfsffsffsff. 5/33 Three letters picked without replacement from zzzz. Give prob of picking 3 z. 1 Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {o: 7, n: 1}. 1/4 Three letters picked without replacement from wwggw. What is prob of picking 3 w? 1/10 Two letters picked without replacement from teftttttttttltt. Give prob of picking 2 l. 0 Calculate prob of picking 2 q and 1 m when three letters picked without replacement from {m: 3, q: 5}. 15/28 Three letters picked without replacement from dddwede. Give prob of picking 1 w and 2 d. 6/35 What is prob of picking 1 u and 1 w when two letters picked without replacement from {u: 4, o: 3, i: 5, w: 1}? 2/39 Three letters picked without replacement from {t: 4, u: 6, z: 1, f: 7}. What is prob of picking 1 u and 2 t? 3/68 What is prob of picking 1 j, 1 v, and 1 k when three letters picked without replacement from kkvjkkkkd? 1/14 Four letters picked without replacement from gybgsgfbgbgffj. What is prob of picking 4 g? 5/1001 Two letters picked without replacement from cwwccccccwcccccccw. Give prob of picking 2 w. 2/51 Calculate prob of picking 2 r and 1 a when three letters picked without replacement from rrrarrraarrrrrrarrra. 35/76 Calculate prob of picking 3 f when three letters picked without replacement from fffffff. 1 Calculate prob of picking 3 b and 1 n when four letters picked without replacement from {n: 1, b: 7}. 1/2 What is prob of picking 2 h, 1 j, and 1 l when four letters picked without replacement from {l: 1, m: 1, h: 2, r: 2, j: 4, x: 4}? 4/1001 Calculate prob of picking 1 p and 1 x when two letters picked without replacement from kwxtwkwxxxzpkxkxxp. 14/153 Two letters picked without replacement from ngg. Give prob of picking 2 g. 1/3 Calculate prob of picking 1 r, 2 i, and 1 j when four letters picked without replacement from {j: 2, i: 4, r: 3, c: 6, e: 3, w: 1}. 3/323 What is prob of picking 3 y when three letters picked without replacement from yyyyyyyx? 5/8 Calculate prob of picking 2 q, 1 m, and 1 j when four letters picked without replacement from {t: 1, m: 5, q: 5, j: 4}. 40/273 Three letters picked without replacement from mmmmymvrmryvmymry. What is prob of picking 2 r and 1 v? 3/340 Four letters picked without replacement from qqlqqlqqlllqq. What is prob of picking 3 q and 1 l? 56/143 Calculate prob of picking 1 o, 2 r, and 1 x when four letters picked without replacement from oeerokkkkereeokxe. 3/2380 What is prob of picking 1 a and 1 z when two letters picked without replacement from {r: 1, p: 4, k: 3, a: 1, z: 2}? 2/55 Two letters picked without replacement from jttt. Give prob of picking 2 t. 1/2 What is prob of picking 3 t when three letters picked without replacement from {j: 5, t: 9}? 3/13 What is prob of picking 1 v and 1 o when two letters picked without replacement from eyymmmooovmoooh? 2/35 Four letters picked without replacement from sesisist. Give prob of picking 2 s, 1 t, and 1 i. 6/35 Three letters picked without replacement from hugyuhguhuguuyu. What is prob of picking 2 g and 1 u? 3/65 Three letters picked without replacement from {b: 2, e: 5}. What is prob of picking 1 b and 2 e? 4/7 What is prob of picking 1 k, 1 c, and 1
{ "pile_set_name": "DM Mathematics" }
/7, 1 Let b(t) = 13*t**2 - t. Let p be b(1). Suppose 0 = 2*m - 4*l + p, -4*m + 0*m + 28 = 5*l. Factor 0*v**3 + 0 + 0*v + 2/3*v**m - 2/3*v**4. -2*v**2*(v - 1)*(v + 1)/3 Let y(r) be the first derivative of 2*r**6/3 - 8*r**5/25 - r**4 + 8*r**3/15 - 9. What is j in y(j) = 0? -1, 0, 2/5, 1 Let m(y) = -3*y**3 + y**2 + 7*y - 5. Let k(t) = -4 - t**3 + 0*t + 4*t + 1 + 0*t. Let l(d) = -5*k(d) + 3*m(d). Factor l(w). -w*(w - 1)*(4*w + 1) Suppose -3*h = -15, 0 = -5*i + h - 323 + 1173. Let s = i + -1879/11. Factor -6/11*l + s - 2/11*l**3 + 6/11*l**2. -2*(l - 1)**3/11 Let z = -29/7 + 123/28. Factor -1/2 + 1/4*g**2 - z*g. (g - 2)*(g + 1)/4 Suppose -z - 3*z + 3*q = -24, -4*z - 8 = 5*q. Find f such that -8 + f - z*f - 2*f**2 + 4 + 8*f = 0. 1, 2 Determine q so that 1/6*q - 1/6*q**2 + 1/3 = 0. -1, 2 Let f(j) be the first derivative of 0*j**2 - 1/3*j**3 + j + 3. What is p in f(p) = 0? -1, 1 Let t(j) be the second derivative of j**9/37800 - j**4/4 - 2*j. Let y(p) be the third derivative of t(p). Factor y(l). 2*l**4/5 Let f(r) be the first derivative of -r**5/60 - r**4/12 - r**2/2 + 3. Let h(s) be the second derivative of f(s). Find z such that h(z) = 0. -2, 0 Suppose -5*o = -o - 32. Factor g**4 - 1 + 1 - o + 24*g + 12*g**3 - 3*g**4 - 26*g**2. -2*(g - 2)**2*(g - 1)**2 Let s be (-4)/(-5)*-2 - 2*-1. Suppose 2/5*p + s*p**3 - 4/5*p**2 + 0 = 0. Calculate p. 0, 1 Suppose 0 = 10*o - 15*o. Let w(n) be the second derivative of 2/15*n**6 + o*n**5 + 0 + 0*n**3 - 1/21*n**7 + 0*n**2 + 0*n**4 - 3*n. Factor w(z). -2*z**4*(z - 2) Suppose h = -h. Let k(b) be the first derivative of 1 + b**2 + h*b + 4/3*b**3 + 1/2*b**4. Factor k(q). 2*q*(q + 1)**2 Suppose b - 3*k = -4, -9 + 1 = -4*k. Let g be (-2 - 8/(-6))*-3. Solve -3*p**g + p + p**2 + 2*p**b + p**2 = 0. -1, 0 Let u = 20/39 + -14/39. Factor 2/13*a**2 - 2/13*a**3 + 2/13*a - u. -2*(a - 1)**2*(a + 1)/13 Let h be 3/((-18)/(-4)) + 5 + -5. Let v be ((-3)/(-3))/(6/4). Suppose -2/3*c - h*c**2 + 2/3*c**3 + v = 0. Calculate c. -1, 1 Suppose -6 - 2 = -4*p. Let 4*i + 4*i**3 - 6*i**3 + 3*i**p - i**3 + 2*i = 0. Calculate i. -1, 0, 2 Let k(c) be the second derivative of 0 + 3*c + 0*c**3 + 1/24*c**4 + 0*c**2. Factor k(i). i**2/2 Let z be 2 + 0 + (-20)/12. Let -z*l + 0 - 5/6*l**2 = 0. Calculate l. -2/5, 0 Let n(v) = -9*v**2 + v**2 + v**2. Suppose 0 = -k - 0*k - 2*x - 15, -k - x - 10 = 0. Let a(u) = -8*u**2. Let o(l) = k*a(l) + 6*n(l). Find s, given that o(s) = 0. 0 Let n(u) be the second derivative of 1/2*u**3 - 1/540*u**6 + 0*u**2 - 1/4*u**4 + 1/30*u**5 + 0 - 2*u. Let r(y) be the second derivative of n(y). Factor r(j). -2*(j - 3)**2/3 Let s(n) be the second derivative of 1/60*n**4 + 0 - n - 1/10*n**2 + 0*n**3. Factor s(b). (b - 1)*(b + 1)/5 Let d(k) = 3*k**5 - 3*k**4 - 3*k**3 - 7*k**2 - 5*k - 5. Let t(f) = 2*f**5 - 2*f**4 - 2*f**3 - 6*f**2 - 4*f - 4. Let n(r) = 4*d(r) - 5*t(r). Factor n(a). 2*a**2*(a - 1)**2*(a + 1) Let f(i) = i**4 - i**3 - i. Let c(r) = 3*r**4 - 3*r**3 - 6*r. Let x(v) = -c(v) + 6*f(v). Factor x(d). 3*d**3*(d - 1) Determine p so that -2/3 + 19/3*p + 25*p**2 = 0. -1/3, 2/25 Factor -1/3*g**2 + 0*g - 4/3*g**3 - g**4 + 0. -g**2*(g + 1)*(3*g + 1)/3 Let h(f) be the third derivative of -f**9/18144 + f**7/5040 - 2*f**3/3 + 2*f**2. Let a(g) be the first derivative of h(g). Find t, given that a(t) = 0. -1, 0, 1 Let s(w) be the third derivative of w**5/330 - 5*w**4/132 + 2*w**3/11 - 39*w**2. Suppose s(g) = 0. Calculate g. 2, 3 Suppose -52*z + 9*z = -129. Determine y, given that -1/7*y**2 + 1/7*y**5 + 0*y + 0 + 1/7*y**4 - 1/7*y**z = 0. -1, 0, 1 Factor 12*p**2 - p + 47 - 2*p**3 - 31 - 23*p. -2*(p - 2)**3 Let r(i) = -i**3 - i**2 + i - 1. Let c(t) = 4*t**4 + 17*t**3 + 9*t**2 - 17*t - 3. Let g(s) = -c(s) - 5*r(s). Factor g(m). -4*(m - 1)*(m + 1)**2*(m + 2) Let l(i) = 4*i. Let m(f) = -f**3 + 8*f**2 + 9*f + 1. Let b be m(9). Let z be l(b). What is h in 2/3*h**3 + 2/9*h**5 + 0 + 0*h - 2/3*h**z - 2/9*h**2 = 0? 0, 1 Let w(z) = -z**3 - 6*z**2 - 5*z + 5. Let s be w(-5). What is t in s*t**3 - t**3 - 2*t**4 - 2*t**3 + 0*t**4 = 0? 0, 1 Let v(p) be the second derivative of -3*p**5/20 + p**4/2 + p**3/2 - 3*p**2 - 24*p. Factor v(f). -3*(f - 2)*(f - 1)*(f + 1) Factor -8/11*d**4 + 12/11*d**3 + 2/11*d - 8/11*d**2 + 0 + 2/11*d**5. 2*d*(d - 1)**4/11 Factor -5 + 4*d**2 - 2 + 7 - 4*d**3. -4*d**2*(d - 1) Let c be (4/14)/(4/7). Factor -a + 0 + c*a**2. a*(a - 2)/2 Let a(k) be the third derivative of -k**7/735 + k**6/210 - k**4/42 + k**3/21 + 21*k**2. Suppose a(f) = 0. Calculate f. -1, 1 Suppose 300 = 11*d + 278. Factor 1/3*r**d - 1 - 2/3*r. (r - 3)*(r + 1)/3 Let b(h) be the first derivative of 7*h**3/12 + 13*h**2/4 - 2*h - 7. Solve b(v) = 0. -4, 2/7 Let s(g) = g**3 - 1. Let l(o) = -4*o**3 - 2*o**2 - o + 7. Let n(q) = l(q) + 5*s(q). Factor n(z). (z - 2)*(z - 1)*(z + 1) Suppose 1 = 2*x + 3. Let a be -2*(-1)/(x + 2). Factor -t**2 - t**2 + 2 - a*t**2 + 6*t**2 - 4*t. 2*(t - 1)**2 Let z(b) be the second derivative of 3/20*b**5 + 3*b + 0*b**3 + 0*b**4 - 1/10*b**6 + 0*b**2 + 0. Factor z(t). -3*t**3*(t - 1) Let l be ((-3)/(-18))/(20/15). Let b(x) be the first derivative of 0*x**2 + 0*x - l*x**4 + 2 - 1/6*x**3. Solve b(t) = 0. -1, 0 Let j(w) be the second derivative of w**7/105 - w**6/75 - w**5/50 + w**4/30 + w + 4. Factor j(y). 2*y**2*(y - 1)**2*(y + 1)/5 Let r(d) = -d**3 - d**2. Let h(o) = -6*o**3 - 6*o**2. Let u(l) = -2*h(l) + 10*r(l). Factor u(b). 2*b**2*(b + 1) Factor 0 + 1/8*j + 1/4*j**2. j*(2*j + 1)/8 Suppose 21*l - 4*l = 0. Let t(o) be the first derivative of 1/2*o**4 + 0*o**2 + 3 + l*o**3 + 0*o. Factor t(f). 2*f**3 Let l(r) be the first derivative of -4/3*r**3 - 2 - 5/12*r**4 - 1/20*r**5 - 2*r**2 + 3*r. Let a(y) be the first derivative of l(y). Find m such that a(m) = 0. -2, -1 Let p(i) be the second derivative of i**6/60 - i**4/24 + 3*i. Factor p(s). s**2*(s - 1)*(s + 1)/2 Let q(n) be the second derivative of -3*n**5/140 + n**4/28 - 5*n. Let q(x) = 0. Calculate x. 0, 1 Let p(g) = -g - 1. Let o be p(-3). Factor 0*s - 3*s**o + 0 + 3/2*s**3. 3*s**2*(s - 2)/2 Factor 8*y**2 + 6*y**3 + 21*y**3 + 36*y**4 + 15*y**5 - 2*y**2. 3*y**2*(y + 1)**2*(5*y + 2) Let d(o) = -40*o**3 - 48*o**2 - 12*o + 4. Let u(x) = -119*x**3 - 144*x**2 - 37*x + 11. Let l(q) = 11*d(q) - 4*u(q). Factor l(z). 4*z*(3*z + 2)**2 Let h(w) be the first derivative of -w**6/15 - w**5/10 + w**4/6 + w**3/3 + w + 4. Let f(z) be the first derivative of h(z). Factor f(t). -2*t*(t - 1)*(t + 1)**2 Let m = 0 + 1/3. Factor m*s**2 + 0*s - 1/3. (s - 1)*(s + 1)/3 Let t = 12 - 4. Let b = t - 5. Suppose -8/3*r**2 + 2/3 - 6*r**4 + 22/3*r**b + 5/3*r**5 - r = 0. Calculate r. -2/5, 1 Let c(t) = -9*t**3 - 3*t**2 - t - 7. Let u(i) = 8*i**3 + 2*i**2 + 6. Let g(h) = 4*c(h) + 5*u(h). Factor g(a). 2*(a - 1)*(a + 1)*(2*a - 1) Factor -204 - 18 + 90*s - 453 - 3*s**2. -3*(s - 15)**2 Suppose 1/3*i + 2*i**4 + 2/3 - 8/3*i**2 - 1/3*i**3 = 0. Calculate i. -1, -1/2, 2/3, 1 Let o(d) be the third derivative of -d**8/1008 + d**6/360 - 58*d**2. Factor o(z). -z**3*(z - 1)*(z + 1)/3 Let u(r) = r**3 + 5*r**2 - 4*r - 2. Let d be u(-6). Let w = 1 - d. Find m such that -19*m**4 + w*m**3 + 3*m - m + 7*m**5 - 4*m + 0*m - m**2 = 0. -2/7, 0, 1 Let o = 515 + -6691/13. What is h in -2/13*h**4 + 0*h**3 + 0*h - 2/13 + o*h**2 = 0? -1, 1 Let d(i) = 32*i**4 - 28*i**3 + 4*i**2 - 4*i - 4. Let z(y) = -65*y**4 + 55*y**3 - 8*y**2 + 7*y + 7. Let h(n) = -7*d(n) - 4*z(n). Suppose h(v) = 0. What is v? 0, 1/3 Factor -9*m**2 - 5*m**2 - 5*m - m**3 + 8*m**2. -m*(m + 1)*(m + 5) Let m be 63/6*2/28. Factor -1/4*d**2 + 1/4*d**4 + 0 + 1/2*d - m*d**3 + 1/4*d**5. d*(d - 1)**2*(d + 1)*(d + 2)/4 Let w = -1107/11 + 10774/77. Let i = w - 39. Factor 0*z + 2/7*z**2 - i. 2*(z - 1)*(z + 1)/7 Let p(c) be the second derivative of 1/130*c**5 + 0*c**2 + 1/39*c**3 + 0 + 1/39*c**4 - 8*c. What is v in p(v) = 0? -1, 0 Find p such that 9*p**4 - 5*p**3 + 27*p**5 - 19*p**4 + 8*p**3 - 8*p**4 = 0. 0, 1/3 Let x = -7 - 1. Let a = -8 - x. Factor a*c + 0 - 1/4*c**3 - 1/4*c**2. -c**2*(c + 1)/4 Factor -4/7*m**4 + 12/7*m**2 + 4/7*m**3 + 8/7 - 20/7*m. -4*(m - 1)**3*(m + 2)/7 Let o(x) = 3*x - 57. Let g be o(20). Suppose 1/4*s**2 + 1/4*s - 1/4*s**g - 1/4 = 0. Calculate s. -1, 1 Let t(q) be the second derivative of 3*q**5/130 + 5*q**4/78 - 16*q**3/39 - 12*q**2/13 - 39*q. Let t(b) = 0. Calculate b. -3, -2/3, 2 Let r
{ "pile_set_name": "DM Mathematics" }
e hundred. -5200 Let l = 252257 - 252257.280019. Let a = 2 - 2.28. Let j = a - l. What is j rounded to 5 decimal places? 0.00002 Let v be 2/4 - 1/2. Suppose 3*u - 4*p - 330000 = v, -u = 4*u + p - 550000. Round u to the nearest ten thousand. 110000 Suppose -12*l - 1188 = -3*l. Round l to the nearest 10. -130 Let t = -2659677 + 2659644.00022. Let z = -25 + -8. Let u = t - z. What is u rounded to 5 decimal places? 0.00022 Let x = -173 - -99.8. Let t = x + 63. Let l = t + 1.7. Round l to zero decimal places. -9 Suppose b + b - 10 = 0. Suppose -4*c = 2*n - 10, b*n - 2*c - 39 = 2*c. Suppose n*g - 2550000 = 2*g. Round g to the nearest 100000. 500000 Let y be ((-1463548)/2)/(12/(-462)). Let d = y + -1973299. What is d rounded to the nearest 1000000? 26000000 Let w = 29 - 31. Let z(g) = g**3 + 3*g**2 + 1. Let t be z(w). Suppose 4*n - 95975 = t*h, -50464 + 146469 = 4*n + h. Round n to the nearest 10000. 20000 Let d(q) = 11749*q**2 - 8*q - 16. Suppose -2*s + 24 = -8*s. Let g be d(s). Round g to the nearest ten thousand. 190000 Let r = -2297.999999972 - -2298. What is r rounded to seven decimal places? 0 Let j = 15794 - 15793.969994. Let r = -10 + 9.97. Let l = j + r. What is l rounded to six dps? 0.000006 Let k = 2414 + -5014. Round k to the nearest one thousand. -3000 Suppose 0*w = -6*w - 8922. Let u = w + 721. Round u to the nearest 100. -800 Let i be (-30)/50 - 8/(-5). Suppose 5*u + 4*c = 103, 0*u + 5*c + 61 = 2*u. Suppose -u = 2*g - i. Round g to 0 dps. -11 Let o = 174.792 + -185.7927. Let c = -136 + 125. Let a = c - o. Round a to four decimal places. 0.0007 Let h(s) = -310*s + 377. Let t be h(5). What is t rounded to the nearest one hundred? -1200 Let t = -20.878 + 19.8. Round t to one dp. -1.1 Let w = 35 - 28. Suppose 0 = 3*h - w*h + 2*l + 4084, -3*h = 3*l - 3054. What is h rounded to the nearest one hundred? 1000 Let p = -55.2 - -62. Let v = 55.8 - p. Let i = 48.99999957 - v. What is i rounded to 7 dps? -0.0000004 Let h = 567396 + -567395.8399765. Let j = h - 0.16. What is j rounded to 6 dps? 0.000024 Let o = 0.221 + -0.135. Round o to 1 decimal place. 0.1 Suppose -3*p + 13*p = -330. What is p rounded to the nearest 10? -30 Let l = -328 + 328.000435. Round l to five decimal places. 0.00044 Suppose 0*w = 2*w - 4. Suppose -y + 12 + w = 0. Let n(o) = 1250000*o. Let c be n(y). Round c to the nearest one million. 18000000 Let h = -6924 - -6931.999. Let u = -8 + h. Let a = u - -0.00099977. What is a rounded to seven dps? -0.0000002 Let t = -3.61 + 0.66. Let v = -1.18 - t. Round v to 1 dp. 1.8 Let u = 40.999804 + -41. What is u rounded to 4 decimal places? -0.0002 Let p = -3441365.1000028 + 3441366. Let c = -10 - -9.1. Let h = p + c. What is h rounded to six decimal places? -0.000003 Suppose 0 = 5*t + 3*w - 3216, 0 = -4*t + 4*w - 2*w + 2586. What is t rounded to the nearest 10? 650 Suppose 0 = -d - 5, -a - 3*d = -4*d + 10. Let h be (0 + 60)/((-9)/(-60)). Let m be a*722*h/(-12). What is m rounded to the nearest ten thousand? 360000 Let a(k) = k**3 - 6*k**2 + 9*k + 9. Suppose 15*d - 16 = 13*d. Let m be a(d). Round m to the nearest ten. 210 Let l = 2.7 - 216.7. Let i = -1969630.10097 + 1969416.1. Let x = i - l. What is x rounded to four decimal places? -0.001 Let o = 122 - 148. Let u = -24.47 - o. What is u rounded to one decimal place? 1.5 Let k = 1.288 + -0.088. Let y = k + -1.319. What is y rounded to two decimal places? -0.12 Let v = 49 - 22. Let s = -16 + v. Let t = s + -10.25. Round t to 1 dp. 0.8 Let b = -0.344 - -1.874. Let w = 1.6 - b. Let n = w + 1.13. Round n to 0 decimal places. 1 Let q = -0.3177 + -0.1995. Round q to two dps. -0.52 Let k = 1.70552 - 1.71. What is k rounded to 4 decimal places? -0.0045 Let s = -667 - -664.17. What is s rounded to the nearest integer? -3 Let h = -42.7 + 45. Let u = h - 2.299991. What is u rounded to six dps? 0.000009 Suppose x = -2*x + 15. Let o = -25378 - -94398. Suppose -m + x*z + o = 0, 2*z + z - 68988 = -m. What is m rounded to the nearest 10000? 70000 Let v = -1858.97425 - -1859. What is v rounded to 2 decimal places? 0.03 Suppose 0 = -4*c - 0*c. Suppose -14 = u - c*u + 4*g, g = -4. Suppose -4*q + u*q + 2*m = 14800010, 7400015 = -q + 3*m. Round q to the nearest one million. -7000000 Let l = -302.99566 - -303. What is l rounded to three decimal places? 0.004 Let s = -36.3 - -36.3258. Round s to three dps. 0.026 Suppose -4*q - 41 = q - 3*u, -q - 4*u - 22 = 0. Let i = -10 - q. Suppose i = b - 5*o - 0*o + 69980, -5*b = 5*o + 350020. Round b to the nearest ten thousand. -70000 Let x = 491 - 491.000000916. What is x rounded to 7 dps? -0.0000009 Let s(k) = k**3 + 17*k**2 + 16*k - 24. Let a be s(-14). Suppose 6*i - a = -v + i, -5*i - 1260 = -4*v. Round v to the nearest 100. 300 Let b = -35240.7317956 - -35127.7318. Let c = b - -113. What is c rounded to five decimal places? 0 Suppose 0 = 5*w - 5*q + 2355, 0 = -4*w + q - 939 - 942. What is w rounded to the nearest 100? -500 Suppose -3*r = -r - 6. Let p be r - (-3 + -14717173) - -2. Let n = -21317181 + p. What is n rounded to the nearest one million? -7000000 Suppose -915703 = -m - 11714703. Round m to the nearest one hundred thousand. -10800000 Let d = -41.40141 + 41.4. Round d to 3 decimal places. -0.001 Suppose 7*s - 2*s - 120 = 0. Suppose 22*z - s*z = -18000000. Suppose -l - 4*l = z. What is l rounded to the nearest one million? -2000000 Let g(i) = -945*i**2 - 28*i + 92. Let v be g(4). Round v to the nearest 1000. -15000 Let y = 2165 - 2165.000002502. Round y to 7 dps. -0.0000025 Suppose 6 = 3*c - c. Suppose 7*n + 16 = c*n, 0 = -3*m - 5*n + 230980. Round m to the nearest 10000. 80000 Let h = 879.71 - -16.29. Let k = -895.99517 + h. What is k rounded to 4 dps? 0.0048 Let q = -18 - -10.8. Let o = q - -7.87. Round o to 1 decimal place. 0.7 Let w = -263.20000182 - -263.2. Round w to six dps. -0.000002 Let p = 468 + -463.5. Let m = 47.3 - 56. Let w = m + p. Round w to the nearest integer. -4 Let m = 3191418101 + -3191417969.16319944. Let w = 50.8367993 - m. Let n = 81 + w. Round n to 7 decimal places. -0.0000013 Let n be -11*(-1 - (-1 + -6962)). Suppose -j - 262910 = -6*j + 2*l, 0 = 5*l. Let z = j + n. What is z rounded to the nearest 10000? -20000 Suppose 177 = -r - 1296. Let d be r/7 - (-9)/21. Let b be -2*(1 - d/4). What is b rounded to the nearest ten? -110 Let a = 138 - 205. Let s = -66.9999605 - a. Round s to six decimal places. 0.00004 Let m = -1680833 + 2403105. Suppose 0 = -4*t - m - 1997728. What is t rounded to the nearest 100000? -700000 Let f = 3393909.54 + 5386.46. Let h = f - 3399296.11000008. Let s = 0.11 + h. What is s rounded to 7 dps? -0.0000001 Suppose 1052988 = 3*k + 3*b, 2*b + b = 2*k - 702012. Round k to the nearest 10000. 350000 Let g = 2613 + -2470.7. Round g to the nearest 10. 140 Let j = 124 + -54. Let c = -68.77 + j. Round c to 1 dp. 1.2 Let j = -51572 + 11572. Round j to the nearest one hundred thousand. 0 Let y be (1 - (-21532)/(-12))*-3513. Suppose 10*c - y = 8*c. Let m be 2/(-3) - c/15. What is m rounded to the nearest one hundred thousand? -200000 Let r be 1/(33/18) - 3872192/352. What is r rounded to the nearest one million? 0 Let l be 6/4 - 5/(-10). Let f(g) = 2375*g**3 - g**2 + 3*g - 2. Let w be f(l). Round w to the nearest 10000. 20000 Suppose -3*l + 15 + 0 = 0. Suppose -2*k = -s + 12602, l*s - s - 12608 = 2*k. Round k to the nearest one thousand. -6000 Suppose -9*q = -2*q - 74886. Suppose 15958 = -g - 4*b, -2*g = -b + 21182 + q. Let d = 165942 + g. Round d to the nearest ten thousand. 150000 Let l = 9 + -8.7. Let a = 0.298 - l. What is a rounded to 4 decimal places? -0.002 Let q = 654.3 - 457. Let w = q + -223. What is w rounded to the nearest integer? -26 Let c = 14030122.65999833 + -14030121.4. Let k = 1.218 + 0.042. Let f = k - c. What is f rounded to 7 decimal places? 0.0000017 Let i = -10738 - -10943.72. Let z = 2.72 - i. Let m = z + 203.00109. What is m rounded to 4 dps? 0.0011 Let h = 1.75 - 351.75. Let u = h - -356.02. Round u to 0 dps. 6 Let i(v) = -24*v - 4 + 17*v - 15*v**3 + 13*v - v**2 - v**3. Let d be i(-3). Round d to the nearest ten. 400 Suppose 0 = -3*r + 47184 + 20448. Let m be r/(-14) + (-2)/(-7). Let v = m + 4110. Round v to the nearest one thousand. 3000 Let i = 527.00000039 - 527. Round i to 7 dps. 0.00000
{ "pile_set_name": "DM Mathematics" }
What is the closest to s in 5, 0.4, 9/2, 36? 0.4 Let c = -1.4623 - -17.4623. Let j = 1.08 + -1.4. Let w = j + -0.08. What is the closest to -0.1 in c, w, 2/9? w Let p be 6 - (5 - (-8)/14). Let z(o) be the first derivative of o**4/4 - o**2/2 + o + 11. Let r be z(0). Which is the nearest to -0.1? (a) r (b) -5 (c) p c Let r = 19 + -20. Let z be (68/(-136))/(2/(-8)). What is the nearest to 1/3 in z, 1/6, r? 1/6 Let y = -0.141 - -28.341. Let x = y + -27.7. Let g be (-1)/((99/6)/(-3)). What is the nearest to 0.3 in x, g, 5? g Let j = -8827/5 + 1765. What is the nearest to 43 in j, 0.2, 0? 0.2 Let o = 14.4 - 14. Let k(q) = -q**3 + 18*q**2 + 18*q + 19. Let a be k(19). Let y be a/((-4)/4) - 4. What is the nearest to 9 in y, o, 0.5? 0.5 Let v = -14214 - -14214.2. Let q be -2 - (-2 + 2/5). Which is the nearest to q? (a) v (b) -8 (c) 3 a Let q = 508/11 + -46. Let n = -2633/6 - -439. Let f = -0.1 - -0.2. What is the nearest to f in n, -0.3, q? n Let i = -9 - -67/7. Let r(z) = -2*z**3 + 7*z**2 + 88*z - 61*z + 10*z**2 + 3*z**3 - 45. Let h be r(-15). Which is the nearest to h? (a) i (b) -2/15 (c) -1/3 b Let i = 74/103 + -16/309. Let f = -3 + 10. Let l = 7.3 - f. What is the nearest to 0.1 in i, -0.05, l? -0.05 Suppose -h - 4*u = 38 - 25, -2*h = 4*u + 18. Let n be -3*1/(-9)*4. Let o = -3 - 0. What is the closest to -1/4 in h, n, o? n Let z = -231.5388 + -0.2612. Let r = -232 - z. Let i(d) = -d + 5. Let s be i(6). Which is the nearest to s? (a) 4 (b) r (c) -0.08 b Let g = -6 + 5.8. Let o = -71 - -70. Let d be 8/84 - 749/147. Which is the closest to g? (a) 4 (b) d (c) o c Let t = -23 + -13. Suppose -5*q + 6 = -159. Let w = q + t. Which is the closest to -2/3? (a) 1 (b) w (c) -0.1 c Let z = -14 - -20. Let q = -3 + z. Let h be 6*46/(-15) - -18. Which is the nearest to 3? (a) h (b) 4 (c) q c Let c = 3253 + -3253. What is the closest to c in -0.1, -4, 3/5, 19? -0.1 Let v = 6094 + -6097. What is the closest to -1/2 in -2/5, v, -0.842? -2/5 Let y be (-8 - 2)*5/(100/8). Let x = -1274 + 1277. What is the closest to -2/3 in x, y, -1/2, 0.3? -1/2 Let l = 340.007 + -340. Let b = l - -1.993. Let k = -0.8 - -0.5. What is the nearest to -0.1 in k, b, -2? k Let t = -5878 + 5877.9. What is the closest to t in -3/61, -0.2, 0.5, 5? -3/61 Let q = 7146 - 7466.03. Let k = q + 320. Let m = 221/4 + -55. Which is the nearest to -1? (a) m (b) 5 (c) k c Let g = 15 - 10. Let l be ((6/g)/3)/(294/(-210)). What is the nearest to 2 in 2, l, -2? 2 Let r = 5489 - 5489. Let u = 0.1 + -0.04. Let p = u - -0.44. Which is the closest to -1? (a) -4 (b) r (c) p b Let o = 752.4 + -752. Which is the closest to -4? (a) 3 (b) o (c) 27 b Let c = 677.8618 - -0.1382. Let g = -670 + c. Let l be 2/(-1) - -2*2. What is the closest to 0 in l, g, 5? l Let z(s) = 4*s**2 - 101*s + 31. Let l be z(25). Let q be (-3 - (5 + 22))*l/24. Let h be ((-2)/(-45))/(2/20). What is the closest to 0 in -3, q, h? h Let m = -8779.2 - -8779. Let f be 10/(-24) + (-3)/12. Which is the closest to 2? (a) m (b) -1.8 (c) f a Let k = -0.037 + -3.963. Let t = 0.16 + -0.26. Let h = t - -0.2. Which is the nearest to h? (a) 0 (b) 0.6 (c) k a Let z = -954 + 954.3. Let d = -1 - -4. What is the closest to z in -2/9, -5, 0.24, d? 0.24 Let q = -253.4 - -253.2. Which is the closest to -1/2? (a) -4 (b) q (c) 7 (d) -2/9 d Let f = 122.48 + -122. Let m = -0.58 + f. What is the nearest to m in -0.4, 1, 2/23? 2/23 Suppose 9*u + 5*x + 21 = 13*u, -5*u = -x. Suppose -5*j - 2*m - 17 = m, 4*j = m. Let h be j + 7/((-70)/(-12)). Which is the nearest to h? (a) -8 (b) 5 (c) u c Let k = 274.3 - 276. What is the closest to -1/4 in 12, k, -0.3? -0.3 Suppose 8*d - 472 = -152. Suppose -6*t = -26*t + d. What is the nearest to -23 in 4, t, -2? -2 Let a = -17 - -52. Let x = a - 1. Let z = -34.3 + x. What is the closest to z in 5, 0.3, -2/5? -2/5 Let y = -1 - 0. Let w = -107344 + 107347. What is the closest to y in -0.5, w, -1/9? -0.5 Let w = 44 + -69. Let x = 6 + w. Let g = x - -15. Which is the closest to 0.04? (a) g (b) 0.5 (c) 4 b Let m = -0.114 - -53.114. Let i = m - 52.984. Let o = i + 0.184. What is the nearest to 0 in -5, -2, o? o Let m = 14 - 10. Let s = 10462 + -10466. Let p = -86 - -428/5. Which is the nearest to m? (a) s (b) p (c) -0.3 c Let d = -7 - -6.91. Let p(j) = 365*j**2 - 3294*j + 84. Let v be p(9). Let q = -0.7 + -0.3. Which is the closest to v? (a) d (b) q (c) -4 a Suppose -3*r + 38 = -z + 12, 0 = 5*z + r + 50. Let w = -8215.1 + 8215. Which is the closest to w? (a) 0 (b) z (c) 4 a Let x = -2858 + 2857.3. Which is the closest to 1? (a) -5 (b) x (c) 0.5 (d) 1 d Let r = 715 + -280. Let b = r + -435.1. What is the nearest to b in 12, -3/7, 0.1? 0.1 Let r = 101 + -98. Let y = -3052/505 + -7/303. Let g = y - -32/5. Which is the nearest to 1? (a) r (b) g (c) 2/5 c Let o be 0 - (-1)/(-1) - -11. Let p = -22671 + 22667. Which is the nearest to -0.3? (a) o (b) 2 (c) p b Let q = -1666 + 1662. Which is the nearest to 3/4? (a) q (b) 0 (c) -2/11 (d) -3 b Let a be (-6)/(-8) + 30/(-144)*4. Let h = -5 + 7. What is the closest to 0.1 in 5, a, h? a Let j = 0.3 - 1.3. Let k = -13.7 - -523.7. Let i = 505 - k. Which is the nearest to 1? (a) i (b) j (c) 2 c Let y = -61 + 61.083. Let r = y - 0.183. Let q = 31/2 + -89/6. Which is the closest to r? (a) 0.3 (b) 2/9 (c) q b Let s = 8729 - 8729. What is the closest to s in 1/6, 0.4, 18, 1/19? 1/19 Suppose 0 = 2*k - 110 + 388. Let d = k + 697/5. Let l = 0.081 + -1.081. Which is the closest to 0? (a) l (b) d (c) -2 b Let s = -104543/4525 - -578/25. What is the nearest to s in 1, -1, -5? 1 Let k = 21/5 + 103/10. Let z = -14 + k. Let p = 615 + -615.4. Which is the nearest to z? (a) p (b) 4/5 (c) -4 b Let v = 12.182 - 12.218. Which is the closest to 0.6? (a) -2/7 (b) -0.2 (c) v c Let s = -1.7 + -1.9. Let u = 0.5086 + -1.5086. Which is the closest to u? (a) s (b) 5 (c) -3 c Let f = -2.92854 + -0.07146. What is the closest to -6 in f, -1, -4, -2? -4 Let w = 29.83 - 30. Let h = w + 6.17. Let x be (-822)/1918*7*1. What is the closest to h in -0.1, 0.1, x? 0.1 Let a(x) = 3*x**2 - 11*x - 118. Let c be a(8). What is the nearest to 15 in 1/5, c, 2/7? 2/7 Suppose 3*d + 4*s = 83, -6*s + 2*s = 2*d - 62. Suppose 4*z - 3*h - d = -6*h, 0 = 5*z + 4*h - 26. Which is the nearest to 2/7? (a) -5 (b) z (c) 0.1 c Let h = 56 + -55.8. Let d = -7 - -11. Which is the nearest to h? (a) d (b) 4/3 (c) -3/4 c Let i = -49 + 49. Suppose 5*y + 4 = 34. Let d be (3/y)/(2/4). Which is the closest to -1? (a) i (b) -1/3 (c) d b Let z be (7 + -7)/(1 + 1). Let t(j) = -22*j + 216. Let r be t(10). Let f be (r/16 - z)/((-3)/(-9)). Which is the nearest to 1? (a) f (b) -4 (c) -5 a Let v = 10 - 9.98. Let m = -0.98 - v. Suppose -2*w - z = 2*z + 8, 2*z = -w - 4. Which is the closest to 0? (a) m (b) 0 (c) w b Let q = -0.5969 + 0.0969. Let m = 62.137 + -0.137. Which is the nearest to m? (a) -4 (b) 0.3 (c) q b Let k = -9067 - -9067. What is the closest to -2/7 in 52, k, 5? k Let z = -148.85 - -147.75. Let f be 3*2/8*-1. Which is the nearest to 1? (a) f (b) 1 (c) -0.3 (d) z b Let l be (-8 - 217/(-28))*(3 + -9 - -5). Let m = -0.044 - -0.344. What is the nearest to -1.3 in l, 5, m? l Let j = 4906.918 + -4902. Let y = j + 0.082. What is the nearest to -0.7 in y, -0.5, -0.1? -0.5 Let s = -0.07646 - -0.01646. What is the closest to -5 in s, 0.1, -0.04? s Let x = 14138 - 42394/3. What is the closest to x in -2, -4, -0.1, 2? 2 Let g = 21189 + -21200. What is the closest to 1/2 in 2, 0.3, g? 0.3 Let o = 9317/2 - 4661. What is the closest to o in 0.3, 20/7, -1? -1 Let z = 436/35 - 90/7. Let g be 0 - ((-86)/645 - 28/15). What is the closest to g in z, -2, 4? 4 Let q = -1.4 - -0.4. Let i = 3.1 - -20.9. Let v = -29 + i. Which is the closest to q? (a) -1 (b) 6 (c) v a Let o be (14/(-48))/((-126)/72). What is the nearest to 23/3 in 0.08, 4, o? 4 Let f = 7 - 11. Let p = 176/5 - 357/10. Which is the closest to 0.1? (a) p (b) -6 (c) f a Let w be 1 - (1 - 2/(-5)*-5). Let b(y) = 9*y - 390*y**w + 29 + 389*y**2 + 5*y. Let d be b(16). What is the closest to -1 in d, 1/9, 4? 1/9 Let d = 14118.4187 + -14119. Let p = 0.0813 + d. What is the nearest to -2/9 in -11/3, -2, -5/4, p? p Suppose 2*t
{ "pile_set_name": "DM Mathematics" }
e k(l). -5 Let i(s) = 2*s + 29. Let w be i(-12). Let h(b) be the first derivative of 0*b**2 + 1/3*b**3 - w + 6*b. What is h(0)? 6 Let p(b) be the third derivative of 1/60*b**5 + 20*b**2 - 3/8*b**4 + 0 + 5/6*b**3 + 0*b. Calculate p(7). -9 Let f = 47 + -45. Let y(r) = -r + 4*r**f - 97 - 5*r**3 + 4*r**3 + 101. Suppose -4*n + 9 = -7. Determine y(n). 0 Let n(o) be the third derivative of o**6/720 + o**5/60 + 5*o**4/6 + 25*o**2. Let h(d) be the second derivative of n(d). What is h(-5)? -3 Let x(a) = -7*a. Suppose 3*l = -16 - 14. Let r = l - -19. Suppose -3*s - 4*h = r, 3*s - 3*h - 14 = -2*s. What is x(s)? -7 Let t be 357/918*(-3)/(-7). Let d(n) be the second derivative of 0 + n**2 + 6*n + 1/12*n**4 - t*n**3. Calculate d(-2). 8 Let p(d) = d**2 - d + 2. Let y(l) = -l - 5. Let v = 2 - 7. Let t be y(v). Let s be (-3 + (t - -3))/4. Give p(s). 2 Let v(h) = h**3 - 11*h**2 - 5. Let c(s) = -s**3 - 3*s**2 + 11*s + 16. Let j be c(-5). Give v(j). -5 Let h(o) = 2*o**2 + o + 2. Let z be (-14 - 4) + 12 - 4*-2. What is h(z)? 12 Let z(p) = 9*p - 16. Let v(j) = 9*j - 12. Let m(t) = -3*v(t) + 2*z(t). What is m(1)? -5 Let y(o) = 3*o**3 + 2*o - 3. Let z(v) = -9*v**3 - 6*v + 10. Let i(p) = 7*y(p) + 2*z(p). Suppose -t - 4 = -13. Let s(w) = w - 8. Let g be s(t). Determine i(g). 4 Suppose -5*z = -5*g, 2*z - 4*g - g + 9 = 0. Let s(k) = -3*k**2 + 4*k**z + 1 - 3 - 5*k**3. Give s(-3). -2 Let l(h) = -h**2 + 6*h - 1. Let g be l(5). Suppose g*x + x = -5. Let k(s) = -12*s**2 + 19*s**2 - 1 - 3*s + 2*s. Calculate k(x). 7 Let k(q) = -4*q**2 - 4*q + 16. Let v(l) = 9*l**2 + 9*l - 33. Let p(x) = 7*k(x) + 3*v(x). Give p(-5). -7 Let u(o) be the first derivative of o**4/4 - 4*o**3 - 7*o**2 + 4*o + 81. Give u(13). -9 Let k(n) be the second derivative of -n**5/20 - n**4/2 - 5*n**3/6 + 2*n**2 - 39*n. What is k(-4)? -8 Suppose -r = 2*r - 5*a - 1, 2*r + 3*a - 7 = 0. Let u be r/8 - 20/16. Let z(j) be the third derivative of j**4/4 + j**3/6 - 4*j**2. What is z(u)? -5 Let d(o) = 29*o**3 - 2*o - 57 + 58 + o - o - 74*o**3. Give d(1). -46 Let x = -31 + 37. Let s(k) = -k - x*k + 8 - 9 + 2*k**3 - k**3 + 6*k**2. Give s(-7). -1 Let n(b) = 107*b - 8*b**2 - 51*b + b**3 - 49*b. What is n(7)? 0 Let p = 1 + -1. Suppose -5*b + 3*k + 8 = 0, 2*b - 2*k - 4 = -p*b. Suppose 0 = -2*f + j + b + 2, 5 = 4*f - j. Let y(d) = d. Calculate y(f). 1 Let i(j) = j**2 - 2*j - 2. Let r(d) = d**2 + 5*d - 7. Let c be r(-7). Suppose -c = 4*v - 6*v + 3*o, -4*v + 3 = 5*o. Let p be 6*((-5)/3 + v). What is i(p)? -2 Suppose 0 = 4*p + 8*s - 7*s + 53, p = s - 17. Let q(c) = c**3 + 14*c**2 + 2*c + 20. Calculate q(p). -8 Let x = 17 + -13. Suppose -x*b = -n + 4, -b = -3*b - 3*n + 12. Let g(j) = -4 + j**2 + 4*j + 0*j + b. Determine g(-4). -4 Let v(z) = -11*z**2. Let m = 6 - 23. Let s = -18 - m. What is v(s)? -11 Let q = 248 + -245. Let n(j) be the second derivative of 1/6*j**q + 0 - 5*j**2 - 8*j. Calculate n(7). -3 Let y(f) = -24*f + 50*f - f**2 - 15*f + 0 - 4. Determine y(9). 14 Let l(a) = -a**2 - 5*a + 8. Suppose 13*s = -33 - 58. Determine l(s). -6 Let a(k) = k**3 - 15*k**2 - 16*k - 10. Let u(l) = l**3 - 26*l**2 + 24*l + 41. Let s be u(25). Calculate a(s). -10 Let f(t) = t**2 + 4*t - 5. Suppose -4*p + 4 + 0 = 0. Let h be (12/(-36))/(p/15). What is f(h)? 0 Let c(t) = t**3 + 7*t**2 + 6*t - 4. Suppose 20 = 4*w, m - 4*w + 11 = -w. Suppose 0 = -m*k - 10 - 18. Let p be -1*k/(14/(-12)). Calculate c(p). -4 Suppose -5*x + 2*i = 34, -5 = -3*x + i - 25. Let f(u) = u**2 + 4*u - 6. Let h be f(x). Let m(t) = -t. What is m(h)? -6 Let g be (1 - 2)*18 + 0. Let f = 28 + g. Suppose 4 = -2*j - 4*k, 5*j - k = -2*k - f. Let l(s) = 3*s**2 + 2*s - 1. Determine l(j). 7 Let d be (1 + 4)*(216/(-60) - -4). Let m(j) be the first derivative of 4 + 1/4*j**4 + j**3 - d*j - 1/2*j**2. Determine m(-3). 1 Let l = 279 - 287. Let t(v) = -v**2 - 8*v - 3. Determine t(l). -3 Let i(f) be the third derivative of f**6/120 - f**5/12 - 5*f**4/24 - f**3/2 + 3*f**2. Let l = -371 + 377. Determine i(l). 3 Let b(d) = d**3 + 5*d**2 - d + 4. Suppose r - 15 + 55 = 4*w, -5*w + 50 = 4*r. Suppose -5*p = -w*p - 25. Calculate b(p). 9 Let m(k) = 7*k + 2. Let j(a) = -20*a - 7. Let l(v) = 2*j(v) + 7*m(v). Let i = 7161 + -7162. Determine l(i). -9 Let m(j) = j**2 - 5*j - 3. Let u be (5 - 5 - -1)/((-2)/(-10)). Calculate m(u). -3 Let o be 8/10*30/(-4) + -7. Let x(a) = -a**2 - 10*a + 4. Determine x(o). -35 Let q(s) = -s. Let p(f) = -4*f - 2. Let o(d) = -p(d) + 5*q(d). Let g(z) = -2*z - 13. Let a be g(-8). Suppose -k - a = 2*c - 1, 4*c + 10 = -5*k. Determine o(c). 2 Let g(l) = -196*l**3 - 24 + 13*l**2 + 197*l**3 - 16*l + 5. Determine g(-14). 9 Let z = 2 - -7. Let i = z - 5. Let w(l) = 5*l - 3*l + i - l**2 + 0*l. Calculate w(3). 1 Let x(c) = 11*c**3 + 2*c**2 + c. Let n(r) = -r**3 + 16*r**2 - 6*r + 29. Let q be n(16). Let t = -68 - q. Determine x(t). -10 Let d(c) be the third derivative of 11*c**6/120 + c**5/60 - c**4/24 - c**3/6 - 181*c**2. Determine d(-1). -10 Let g(q) = 19*q - 1 + 17*q - 1 - 35*q. Let l(s) = 3*s - 4. Let i(u) = -9*g(u) + 4*l(u). Determine i(2). 8 Let p(r) be the second derivative of r**3/6 - r**2/2 + 2*r. Suppose -21*g + 80 = 17. Calculate p(g). 2 Let a(s) be the second derivative of -s**4/12 - 7*s**3/6 - s**2/2 - 2*s - 44. Determine a(-5). 9 Let p be 2/4 + 18/4. Suppose 5*o = 2*g + 19 + p, 4*g = -2*o + 24. Let a(z) = -z - 2 - 1162*z**2 - 4 + 2 + 1168*z**2 - z**3. Determine a(o). -10 Suppose 16*p = 14*p + 4. Let j(v) = -2 + 7*v**3 + 4 - 5*v**p - 2*v + 8*v**2 - 6*v**3. Determine j(-4). -6 Let x(f) = f**3 + f**2 + 9*f - 2. Let h(k) = -k**2 + k - 1. Let p(o) = -4*h(o) + x(o). Determine p(-4). -2 Let c(l) = -l**3 + 6*l**2 + 8*l - 4. Let v be (1 + (-4*1)/4)/(-2). Suppose v = -4*o + 20 + 8. Determine c(o). 3 Let u(j) = j**3 - 6*j**2 + 4*j + 2. Let v(w) = -w**3 + 9*w**2 - 6*w - 6. Let l be 128/(-24)*(-3)/2. Let k be v(l). Suppose 9*y - k = 7*y. Calculate u(y). -3 Suppose 65 = 5*h - 5*g, 3*g = -0*h - h - 7. Suppose 0 = -p + 12 - h. Let y(x) be the first derivative of -x**2/2 + 5*x - 1. What is y(p)? 1 Suppose q - 21 = 38. Suppose -56 + q = -u. Let t(r) = 2 - r**2 + 0*r**2 + 0*r**2 - r. Calculate t(u). -4 Suppose w + w = 10. Let s(k) = -2*k - 3. Let v(j) = -7*j - 11. Let c(l) = 3*s(l) - v(l). Give c(w). 7 Let w(t) be the third derivative of t**6/120 - t**5/30 + t**4/24 + t**3/2 - 23*t**2. Give w(3). 15 Let n be (-12)/10 - 10/(-50). Let h(y) = -y**2 - y - 1. Let k(t) = -t**3 - 5*t**2 - 2*t + 5. Let z(v) = n*k(v) - h(v). Calculate z(-5). 6 Let g(s) = -11*s + 13*s**2 - 60 - 12*s**2 - 6*s. What is g(20)? 0 Let o(h) = -h**3 - 2*h**2 + 2*h - 4. Let v(x) = -x + 9. Let c be v(-8). Let z = c - 17. Suppose z = 5*q + 9 + 6. Give o(q). -1 Let o(j) = 13*j + 166. Let f be o(-13). Let g(b) = b**3 + 3*b**2 - b + 2. What is g(f)? 5 Let i(m) = m**3 + 3*m + 957*m**2 + 0*m**3 - 961*m**2. Give i(4). 12 Suppose -27*h + 32*h = 5. Let z(y) = -28*y**2 + 2*y - 1. Give z(h). -27 Let q(n) = n**3 + 6*n**2 + 4*n - 2. Let x be q(-5). Suppose 5*u = -2*z - 18, -2*z - x*u = 8 + 2. Let w(f) = -12*f + 1. Calculate w(z). -11 Let t(j) = j**2 + 3*j + 2. Let o be -2 - (-4 - 1) - 2. Suppose -2 = -a - o. Let u = a - 3. What is t(u)? 0 Let j(b) be the third derivative of b**7/5040 - 7*b**6/360 - 2*b**5/15 - 7*b**2. Let g(z) be the third derivative of j(z). Calculate g(6). -8 Let a(b) = b**3 + 10*b**2 + 10*b - 8. Let x = 1194 - 1203. Determine a(x). -17 Let f(t) = t**3 - 6*t**2 + t - 2. Suppose 0 = 3*j + j - 160. Let r be -1 - j/60*-1*6. What is f(r)? -26 Let a(j) = -2*j + 6*j + 0*j - 2 + 5*j**2 - j**3 + 4 + 3*j. What is a(6)? 8 Let h(u) = -2*u - 3*u - 12*u**2 + 13 + 3*u + 13*u**2 - 3*u. What is h(3)? 7 Let d = 11 - 7. Let i(o) = o**3 - 3*o**2 - 3*o - 2. Let c be i(d). Let w(k) = 22*k**2 - k + 2 - 20*k**2 + 9*k**3 - 10*k**3. What is w(c)? 0 Suppose -2*u + 3*u - 5*m = -9, 0 = -3*u + 3*m + 9. Let l(b) = -3*b + 5. What is l(u)? -13 Let g(o) = -o**3 + o**2 - o + 1. Let f = 13 - 13. Suppose f = -3*d + d - 2. Let i(v) = -5*v**3 + 8*v**2 - 9*v + 6. Let c(j) = d*i(j) + 4*g(j). What is c(4)? 18 Let a(c) = -5 + 6*c - c + 57*c**2 - 1 - 56*c**2. Let v be a(-5). Let k(h) = 2*h + 4. Give k(v). -8 Let q(d) = -d - 11. Suppose -43*y + 49*y = 0. Calculate q(y). -11 Let b be (1/(-3))/(3/18). Let d(t) = 6*t**2 - t. Give d(b). 26 Let m(o) = 12*o**2 + 41. Let
{ "pile_set_name": "DM Mathematics" }
t replacement from zvuzvxzzhvzzz? 7/78 What is prob of picking 1 m and 1 s when two letters picked without replacement from umkgsxk? 1/21 Four letters picked without replacement from {v: 3, x: 4}. Give prob of picking 2 v and 2 x. 18/35 What is prob of picking 1 z and 1 q when two letters picked without replacement from qgqqqqqqqqzqqqqqqqq? 17/171 Four letters picked without replacement from wmswsm. Give prob of picking 2 m and 2 w. 1/15 Two letters picked without replacement from igqfqgcicdqq. Give prob of picking 1 c and 1 i. 2/33 What is prob of picking 2 a when two letters picked without replacement from {z: 3, e: 5, a: 2}? 1/45 Calculate prob of picking 1 e and 2 r when three letters picked without replacement from {p: 4, r: 3, e: 5}. 3/44 Four letters picked without replacement from quuqqqqqq. Give prob of picking 1 u and 3 q. 5/9 Calculate prob of picking 1 m and 1 z when two letters picked without replacement from lmzlzmzzzzmlzzzzlz. 11/51 Two letters picked without replacement from {r: 4, s: 15}. What is prob of picking 1 r and 1 s? 20/57 Calculate prob of picking 2 o when two letters picked without replacement from lloro. 1/10 What is prob of picking 2 p when two letters picked without replacement from ppuucppcp? 5/18 What is prob of picking 1 u, 1 v, and 1 c when three letters picked without replacement from {g: 2, u: 2, v: 3, c: 2}? 1/7 Calculate prob of picking 4 w when four letters picked without replacement from {w: 9, t: 3, m: 7}. 21/646 What is prob of picking 2 z when two letters picked without replacement from bbeebeebzezebzze? 1/20 Four letters picked without replacement from {d: 5, c: 1, m: 4, s: 1}. Give prob of picking 3 d and 1 c. 1/33 What is prob of picking 1 u and 1 a when two letters picked without replacement from {m: 4, u: 3, a: 5}? 5/22 Calculate prob of picking 1 u, 1 m, and 1 t when three letters picked without replacement from qbsmtbubbbutu. 3/143 What is prob of picking 2 s and 2 h when four letters picked without replacement from {h: 7, s: 5}? 14/33 Two letters picked without replacement from qxqwwpwpw. What is prob of picking 1 p and 1 w? 2/9 Calculate prob of picking 3 r when three letters picked without replacement from rrrwlrwwr. 5/42 Calculate prob of picking 3 x when three letters picked without replacement from {x: 10, s: 4}. 30/91 What is prob of picking 1 j and 1 d when two letters picked without replacement from {d: 1, j: 1, m: 1, u: 2, y: 1, v: 1}? 1/21 What is prob of picking 3 c and 1 r when four letters picked without replacement from crccrcc? 4/7 Three letters picked without replacement from allaukuakka. Give prob of picking 1 l, 1 a, and 1 u. 16/165 Two letters picked without replacement from {k: 4, m: 3, i: 3, l: 1}. Give prob of picking 1 m and 1 k. 12/55 Calculate prob of picking 2 h when two letters picked without replacement from {c: 2, h: 2}. 1/6 Four letters picked without replacement from {y: 1, f: 2, r: 3, d: 2, e: 3, z: 3}. Give prob of picking 2 z, 1 e, and 1 f. 18/1001 Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {i: 2, s: 6, w: 3, a: 1}. 2/11 Two letters picked without replacement from {v: 14, g: 1}. What is prob of picking 1 g and 1 v? 2/15 What is prob of picking 1 o and 2 g when three letters picked without replacement from {o: 1, h: 3, c: 1, g: 4, n: 7}? 3/280 Three letters picked without replacement from lxpelxsspsppseel. Give prob of picking 3 e. 1/560 Two letters picked without replacement from yyawnwjq. What is prob of picking 1 n and 1 j? 1/28 What is prob of picking 1 g, 1 a, and 1 h when three letters picked without replacement from {h: 1, t: 1, a: 5, b: 1, y: 4, g: 1}? 5/286 Two letters picked without replacement from {p: 3, k: 5, r: 1, d: 4, h: 5}. Give prob of picking 2 k. 10/153 Three letters picked without replacement from {x: 4, p: 2, m: 3}. What is prob of picking 1 p and 2 m? 1/14 Two letters picked without replacement from {b: 1, a: 2, h: 3, w: 3, o: 4, j: 3}. Give prob of picking 1 o and 1 b. 1/30 Three letters picked without replacement from sbabsbbbs. What is prob of picking 2 s and 1 b? 5/28 What is prob of picking 3 f when three letters picked without replacement from {f: 7, v: 1, k: 2}? 7/24 What is prob of picking 1 a and 2 u when three letters picked without replacement from paapapyauu? 1/30 Two letters picked without replacement from glllllglgglglggllglg. What is prob of picking 2 l? 11/38 What is prob of picking 4 c when four letters picked without replacement from {a: 11, c: 5}? 1/364 What is prob of picking 3 f when three letters picked without replacement from ffpfffff? 5/8 Four letters picked without replacement from xffuddddfuddo. What is prob of picking 1 f, 1 o, and 2 u? 3/715 Two letters picked without replacement from hwaqhsai. Give prob of picking 1 i and 1 q. 1/28 Three letters picked without replacement from {v: 4, r: 4, c: 2, y: 3, a: 3}. Give prob of picking 2 r and 1 c. 3/140 Three letters picked without replacement from {k: 7, f: 9, m: 3}. Give prob of picking 3 m. 1/969 What is prob of picking 1 y and 3 m when four letters picked without replacement from myymmymymy? 5/21 What is prob of picking 2 r when two letters picked without replacement from {m: 3, y: 3, r: 6, j: 1}? 5/26 Four letters picked without replacement from hwrrwcovvhvc. Give prob of picking 1 r, 1 c, 1 w, and 1 h. 16/495 Calculate prob of picking 2 i and 2 s when four letters picked without replacement from {s: 3, l: 2, i: 3}. 9/70 Two letters picked without replacement from {y: 1, m: 2}. What is prob of picking 1 y and 1 m? 2/3 What is prob of picking 2 a and 1 w when three letters picked without replacement from {g: 1, a: 7, w: 2}? 7/20 Calculate prob of picking 1 o and 2 i when three letters picked without replacement from oihoiioiiioihh. 3/13 Four letters picked without replacement from {g: 7, s: 2, w: 4, k: 2, b: 1}. What is prob of picking 1 s, 1 g, 1 k, and 1 b? 1/65 Calculate prob of picking 1 c, 2 m, and 1 v when four letters picked without replacement from myyicimyviviiiivimy. 3/1292 Two letters picked without replacement from hrrfiirfirffffirtfi. Give prob of picking 2 f. 7/57 Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {l: 1, s: 1, d: 11}. 1/78 Three letters picked without replacement from vrvquvxxqvrvvqvq. What is prob of picking 2 r and 1 x? 1/280 Two letters picked without replacement from eefeefeffaaf. Give prob of picking 2 f. 5/33 Four letters picked without replacement from srorssrrrrssosssio. Give prob of picking 1 r, 2 s, and 1 i. 14/255 Three letters picked without replacement from hghbepwwwhhwegp. Give prob of picking 2 p and 1 h. 4/455 Three letters picked without replacement from vavvvaaaaa. Give prob of picking 3 v. 1/30 What is prob of picking 1 g and 1 j when two letters picked without replacement from {r: 2, g: 2, j: 1, l: 1}? 2/15 What is prob of picking 2 y and 1 k when three letters picked without replacement from {k: 3, y: 4, w: 1, z: 1, e: 6, m: 1}? 9/280 Calculate prob of picking 1 n and 1 b when two letters picked without replacement from inbpbppnpbipipdbpni. 4/57 What is prob of picking 2 f when two letters picked without replacement from ffff? 1 Three letters picked without replacement from {j: 9, w: 11}. Give prob of picking 2 w and 1 j. 33/76 Two letters picked without replacement from {u: 9}. Give prob of picking 2 u. 1 Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {f: 1, g: 1, y: 2, v: 2}. 2/15 Two letters picked without replacement from {z: 2, i: 9, w: 5}. Give prob of picking 2 z. 1/120 Two letters picked without replacement from fcffcfvfccfvvvv. Give prob of picking 1 f and 1 v. 2/7 Two letters picked without replacement from {y: 1, p: 2, w: 1, m: 1}. What is prob of picking 1 p and 1 m? 1/5 Three letters picked without replacement from {x: 2, h: 9, o: 6}. Give prob of picking 2 h and 1 x. 9/85 Two letters picked without replacement from {o: 1, m: 2, u: 2, p: 1, g: 1}. What is prob of picking 1 m and 1 o? 2/21 Three letters picked without replacement from {w: 4, e: 2, m: 1, v: 1}. Give prob of picking 2 w and 1 m. 3/28 Three letters picked without replacement from qququuquqquqqqquqqu. What is pro
{ "pile_set_name": "DM Mathematics" }
92323780 to the nearest 10000. 92320000 Round -5.17825 to one dp. -5.2 Round 116769.7 to the nearest ten thousand. 120000 What is -0.1402396 rounded to 1 decimal place? -0.1 What is -0.979151 rounded to 3 dps? -0.979 Round 0.0001254499 to 5 decimal places. 0.00013 What is -0.0001256092 rounded to five decimal places? -0.00013 Round -1.878439 to one dp. -1.9 Round 99903.77 to the nearest 1000. 100000 Round 0.000000687384 to seven decimal places. 0.0000007 What is -0.009183015 rounded to 5 decimal places? -0.00918 Round 362.521 to zero decimal places. 363 What is -0.9047301 rounded to four dps? -0.9047 What is 163.031 rounded to 1 decimal place? 163 Round -0.0089112 to 4 dps. -0.0089 What is -1.062379 rounded to 1 dp? -1.1 What is -0.0380671 rounded to three decimal places? -0.038 Round 0.00000003087 to 7 dps. 0 Round 22068700 to the nearest 1000000. 22000000 Round 78.919 to 0 dps. 79 Round 140.6008 to zero dps. 141 What is -24305.114 rounded to the nearest 1000? -24000 What is -26.01067 rounded to one dp? -26 Round 730025.7 to the nearest 10000. 730000 What is 0.2108105 rounded to 2 decimal places? 0.21 Round -6.33002 to one decimal place. -6.3 What is -0.000125926 rounded to six decimal places? -0.000126 What is -1357710.6 rounded to the nearest one million? -1000000 Round -927.11 to the nearest one hundred. -900 What is 0.04904553 rounded to 3 decimal places? 0.049 What is 0.00064666 rounded to four dps? 0.0006 Round -1.03079 to one decimal place. -1 Round 0.00061332455 to six dps. 0.000613 What is 5.68671 rounded to one decimal place? 5.7 Round 0.0004442485 to five decimal places. 0.00044 Round -1453931300 to the nearest one million. -1454000000 What is 0.00142054 rounded to 4 decimal places? 0.0014 What is 45.1214 rounded to 0 dps? 45 Round -0.751215 to 2 dps. -0.75 What is -0.000147344 rounded to 4 decimal places? -0.0001 What is 285.0274 rounded to 1 decimal place? 285 Round -9956.76 to the nearest 100. -10000 What is -698437 rounded to the nearest 1000? -698000 What is -12.8047 rounded to 1 dp? -12.8 What is -0.0000290638 rounded to six dps? -0.000029 Round -43.7051 to the nearest ten. -40 Round 0.0000326818 to 6 decimal places. 0.000033 Round 239735.8 to the nearest 10000. 240000 What is 0.000059127 rounded to 7 decimal places? 0.0000591 What is 0.00899081 rounded to three dps? 0.009 What is 8.616301 rounded to the nearest ten? 10 What is 4042.73 rounded to the nearest 10? 4040 Round -6807810000 to the nearest 1000000. -6808000000 What is -4575.854 rounded to the nearest ten? -4580 Round -43351 to the nearest one thousand. -43000 What is -225708400 rounded to the nearest 1000000? -226000000 What is -0.00079879 rounded to five decimal places? -0.0008 Round 27.258116 to the nearest integer. 27 What is 0.465684 rounded to 2 decimal places? 0.47 Round -166.319 to 0 dps. -166 What is 0.000840705 rounded to six decimal places? 0.000841 What is 1284493.3 rounded to the nearest 1000? 1284000 Round -0.01032368 to 4 dps. -0.0103 Round 108859300 to the nearest 1000000. 109000000 Round -7.41672 to one dp. -7.4 What is -4753880 rounded to the nearest ten thousand? -4750000 What is -975792.2 rounded to the nearest 100? -975800 What is -10.04241 rounded to the nearest 10? -10 What is 7.0124 rounded to 1 dp? 7 What is -59451703 rounded to the nearest 10000? -59450000 What is 137.216 rounded to 0 decimal places? 137 What is -0.00025497 rounded to 6 dps? -0.000255 What is 0.156571 rounded to 2 decimal places? 0.16 What is 0.3224288 rounded to four dps? 0.3224 Round -240314.92 to the nearest 100. -240300 What is -287.3612 rounded to the nearest ten? -290 What is -73260.7 rounded to the nearest one hundred? -73300 What is 0.0000101093 rounded to six decimal places? 0.00001 What is -0.00540806 rounded to three dps? -0.005 Round -369480 to the nearest one hundred thousand. -400000 Round 4.582593 to one decimal place. 4.6 Round -0.00166605 to 3 dps. -0.002 What is -0.019125276 rounded to five decimal places? -0.01913 Round -0.000005689108 to six dps. -0.000006 Round -0.021592148 to four dps. -0.0216 What is -130293190 rounded to the nearest 100000? -130300000 Round 66.3777 to the nearest integer. 66 Round -0.0001003872 to 7 decimal places. -0.0001004 Round -728363 to the nearest one thousand. -728000 Round 13823.9 to the nearest one hundred. 13800 Round 32117 to the nearest 10000. 30000 Round 0.00000910935 to six dps. 0.000009 What is -272051.7 rounded to the nearest 100? -272100 Round 0.0001767398 to seven dps. 0.0001767 What is -1.0523606 rounded to 3 dps? -1.052 What is -152.1842 rounded to 0 decimal places? -152 What is -45.817 rounded to the nearest 10? -50 Round 148268000 to the nearest 100000. 148300000 What is 87.4263 rounded to the nearest 10? 90 Round -20.14282 to zero dps. -20 What is -5970.47 rounded to the nearest ten? -5970 What is -10.094312 rounded to one dp? -10.1 What is 0.853621 rounded to three decimal places? 0.854 Round 0.000109042 to 5 dps. 0.00011 What is 8276.857 rounded to the nearest ten? 8280 Round -1.32619 to two decimal places. -1.33 Round 0.0690617 to three dps. 0.069 What is -284413400 rounded to the nearest 100000? -284400000 What is -0.0000006557997 rounded to 7 dps? -0.0000007 What is -2058.624 rounded to the nearest one hundred? -2100 What is -0.00000810099 rounded to 6 dps? -0.000008 Round 0.13081222 to 3 decimal places. 0.131 Round 8980.484 to the nearest one hundred. 9000 Round 4.4957 to one dp. 4.5 Round 500.82 to the nearest 100. 500 Round 2.3640356 to 3 decimal places. 2.364 Round -266.4756 to 1 decimal place. -266.5 Round -0.0003631 to 5 dps. -0.00036 Round -5879031.8 to the nearest 10000. -5880000 Round -0.02485106 to five decimal places. -0.02485 Round -14442.59 to the nearest 100. -14400 Round 0.000001244146 to 7 decimal places. 0.0000012 What is -0.00046851676 rounded to 5 dps? -0.00047 What is 0.00000187639 rounded to 7 dps? 0.0000019 What is -354114.7 rounded to the nearest ten thousand? -350000 Round -0.669632 to 3 dps. -0.67 What is -15.5348 rounded to 1 decimal place? -15.5 What is -0.0000023117 rounded to seven dps? -0.0000023 Round 6.97366 to one dp. 7 What is -5.199045 rounded to zero decimal places? -5 Round -0.1352 to the nearest ten. 0 What is -0.0001623311 rounded to six decimal places? -0.000162 Round 0.00005458666 to 7 dps. 0.0000546 What is -1.2436485 rounded to 2 dps? -1.24 What is 1952694.7 rounded to the nearest ten thousand? 1950000 What is -33821690 rounded to the nearest 100000? -33800000 What is -0.000075272198 rounded to 5 decimal places? -0.00008 What is -24.411557 rounded to the nearest 10? -20 What is 1695.503 rounded to the nearest 100? 1700 Round 5581.1 to the nearest ten thousand. 10000 What is 6.430757 rounded to the nearest integer? 6 What is -6827600 rounded to the nearest 10000? -6830000 What is -773.7625 rounded to the nearest 10? -770 What is -0.00005735559 rounded to 6 dps? -0.000057 Round 25408.15 to the nearest ten. 25410 What is -0.0008228704 rounded to 6 decimal places? -0.000823 What is -0.004216993 rounded to 4 dps? -0.0042 Round 62.1861 to the nearest ten. 60 Round 0.00097818 to 5 decimal places. 0.00098 Round -0.0046845 to 4 dps. -0.0047 What is -4.772234 rounded to one dp? -4.8 Round -12.382 to zero dps. -12 What is -0.0003736994 rounded to four decimal places? -0.0004 Round -54.86987 to the nearest ten. -50 Round 0.013668602 to three decimal places. 0.014 What is -74478.96 rounded to the nearest ten thousand? -70000 Round -0.00000631604 to seven dps. -0.0000063 What is 474949.8 rounded to the nearest one thousand? 475000 Round 28.44448 to the nearest integer. 28 Round 0.0002239849 to five dps. 0.00022 What is -1.89188 rounded to zero decimal places? -2 Round 0.00019093591 to 7 decimal places. 0.0001909 Round -0.00016354711 to 7 dps. -0.0001635 Round -0.0004894849 to 5 decimal places. -0.00049 What is -0.0015531055 rounded to 5 dps? -0.00155 Round -0.24651 to three decimal places. -0.247 What is -0.0001645002 rounded to 5 dps? -0.00016 What is -41251.47 rounded to the nearest 1000? -41000 What is -0.063079 rounded to one decimal place? -0.1 Round -0.00809445 to 5 dps. -0.00809 What is 331734 rounded to the nearest ten thousand? 330000 Round 12042170700 to the nea
{ "pile_set_name": "DM Mathematics" }
-4) - (-62)/(-9) and d/(-54)*(29 - 8)? 18 Let k = 15 - 1. Let y = 31 + -19. Calculate the least common multiple of y and k. 84 Let w = -688 + 1422. Suppose -z - 5*d - 320 = 0, 461 + w = -4*z - 3*d. Let p = -535/2 - z. What is the common denominator of p and 16/7? 14 Let v(a) = -a**3 + 6*a**2. Let n be v(7). Let z = 1962 + -15715/8. Find the common denominator of (n/16)/((-2)/8) and z. 8 Let z(g) = g + 5. Suppose 4*k - 3*t - 75 = 0, -k - 2*k + 53 = t. Let s = k - 13. What is the least common multiple of 12 and z(s)? 60 Calculate the smallest common multiple of 22/33 + 32/6 and 18. 18 Let b(d) = d**3 - 7*d**2 + 5*d + 8. Let c(w) = w + 8. Calculate the least common multiple of b(6) and c(-6). 2 Let j = 20771 + -540129/26. Find the common denominator of -37/10 and j. 130 Let x(d) = -1945*d + 2. Let z be x(5). Let r = z - -97113/10. What is the common denominator of 37/2 and r? 10 Suppose -3*u = 3*r - 33, 4*u - 5*r = 18 + 35. What is the least common multiple of u and 24? 24 Let s(l) = 10*l + 7. Let j(t) = -21*t - 15. Let z(k) = 3*j(k) + 7*s(k). Let u be 4/((-5)/(60/(-8))). Calculate the common denominator of z(u) and 17/5. 5 Let f = -6 - -10. Calculate the lowest common multiple of f and -5*((-3)/(-3))/(-1). 20 Let b = -210/53 - 1653/265. Calculate the common denominator of b and 9. 5 Let n(z) = -z + 9. Suppose 5*l - m = 0, -l - 2*m - m = -16. What is the smallest common multiple of n(6) and l? 3 Find the common denominator of -19/42 and 86/20 - (3 - 8). 210 Let y = 11963/1020 - 53/170. Calculate the common denominator of ((-2)/(-3))/((-16)/246) and y. 12 Let b(d) = d**2 + d + 2. Suppose 5*p = 4*t - 89, 5*t - 105 = p + 4*p. Calculate the smallest common multiple of b(-2) and t. 16 Let n = -4 + 12. Suppose 3*g = -4*l + 17, 2*g + 6 + 6 = 2*l. What is the least common multiple of n and l? 40 Suppose -2*b + 64660 = -b. Let s = -454455/7 + b. Let v = -14267/56 - s. What is the common denominator of 109/14 and v? 56 What is the common denominator of (-8)/12 - 14/(-48) and -56/5? 40 Let k = -30 - -15. Let j be (0 - -2)*k/(-2). What is the lowest common multiple of 9 and -3 - (-1 + (2 - j))? 99 Suppose -3 = -2*q + 13. Calculate the least common multiple of 114/18 + (-2)/6 and q. 24 Let i = -11 + 19. Suppose s - i = -3*s. Calculate the lowest common multiple of s and 14. 14 Let q(z) = -z**3 + z**2 + 2*z. Let o be q(-2). Suppose -2*i - o = -6*i. Let g(j) = -j**3 + 5*j + 11. What is the lowest common multiple of i and g(0)? 22 Let a = 6 + -2. Suppose 2*r + 5*q - 6 = 0, -q = a*r - 2*q - 12. Let c = 2 + 3. What is the least common multiple of r and c? 15 What is the common denominator of -73/6 and (2/(-15))/((-8)/1490)? 6 Let r = 970 + -7791/8. Let c = 13/3 + -98/33. Let k = c - 1/11. What is the common denominator of k and r? 88 Let x = 4/3105 - -24146/3105. What is the common denominator of -27/10 and x? 90 Let y = -4695 + 51687/11. What is the common denominator of ((-101)/(-18))/((-1)/(-3)) and y? 66 Let s(n) = -n**2 + 8*n - 3. Let x be (-10)/6 + 7/(-21). Calculate the lowest common multiple of s(6) and x - -2 - 30/(-6). 45 Let b = 50/13 + 461/39. Let m = -43/12 - b. Find the common denominator of m and 93/(-8) + 4/16. 8 Let u(f) = f**2 + 8*f + 13. What is the least common multiple of u(-6) and 5? 5 Let i = -14 + 40. Let n = -3 - 13. Let b = i + n. Calculate the lowest common multiple of b and 12. 60 Let m(t) = -t + 5. Let w be m(3). Suppose -w*d - 2*h = 0, d + 16 = 5*h + 40. Calculate the lowest common multiple of d and 8. 8 Let n = -16 - -38. What is the common denominator of 33/2 and ((-33)/(-16))/((-11)/n)? 8 Let v = -2 + 4. Let n be (0 + v)/(2/4). Suppose 2 = 2*t - n. What is the least common multiple of 3 and t? 3 Find the common denominator of ((69/(-18))/(-1))/((-14)/6) and 23/6. 42 Suppose d - 21 = -3*j - 2*d, 0 = -4*d + 20. What is the common denominator of j/(-7) + (-3047)/(-693) and -49/9? 9 Let d = 11110 - 16220. Let b be (-7682)/d + (-2)/(-7). Let p = b + 30/73. Find the common denominator of -38/11 and p. 55 Suppose y - 6 = -y. Suppose -y*k = 2*k - 200. Calculate the smallest common multiple of (-1)/(-3) - k/(-6) and 5. 35 Suppose 5 = -s + 7. Suppose 65 = 5*a + 5*w, 2*a + 2*a + s*w = 48. Calculate the smallest common multiple of a and 10. 110 Let q(o) = 3*o**2 + 3*o - 2. Let n be q(-6). Let a be -3*2*(-5 + -7). What is the common denominator of (n/a)/(4/30) and -79/2? 6 Suppose -3*h = -h - 396. Calculate the common denominator of -31/7 and 2/10 + h/20. 70 Let o = -1121 - -6763/6. What is the common denominator of o and 171/4*(-4)/6? 6 Suppose -1 - 11 = 3*k. Let h(i) = -5*i - 2. What is the least common multiple of h(k) and 10? 90 Suppose -5*j + 2*j + 42 = 0. Calculate the lowest common multiple of j and 14. 14 Let m = 8 - 4. Suppose -4*j + 18 = 2*w, 7*j - 4*w + 10 = 2*j. Let t = j - -4. Calculate the smallest common multiple of t and m. 12 Calculate the least common multiple of ((-3213)/(-68))/((-6)/(-16)) and 10. 630 Let a = -2036/11 + 31575/176. Suppose -5*i + 10*i = 20. Find the common denominator of a and (-3 + i)*(-74)/(-44). 176 Let m = 121749/148148 + -2/5291. What is the common denominator of -23/14 and m? 28 Let y(h) = -4*h**3 - h - 1. Let c be y(-1). Let l = 4218 - 25241/6. Find the common denominator of (-7)/10 + c + -6 and l. 30 Suppose -2 = -5*p - 2*z + 12, 3*p = -4*z. Suppose -p*r - 2*d + 18 = -2*r, -5*r + 39 = 3*d. What is the smallest common multiple of r and 5? 30 Let t = 3557 + -21421/6. Let v = 19793 + -356129/18. Calculate the common denominator of v and t. 18 Let a = -32 + 53. Let j = -131 + a. What is the common denominator of (1 + j)*(-1)/(-6) and 17/16? 48 Let d = 3/148 + -6441/148. Let g be 3 - 0 - (1 - 0). Calculate the common denominator of d and -1 + (0 - (-101)/g). 2 Let t be -4006*3/(-60)*-11. Let i = -2209 - t. Calculate the common denominator of -113/14 and i. 70 Let k(r) = 2*r - 6. Let a(m) = 75*m**2 - 2*m + 1. Let n be a(1). What is the least common multiple of k(4) and 6/(-36) - n/(-12)? 6 Let p = 197 - 113. Calculate the common denominator of -59/14 and (-42)/(-98) - (-538)/p. 42 Calculate the common denominator of 77/18 and (790/(-210))/((-6)/7). 18 Let z(f) = -4*f. Calculate the least common multiple of 1/((-2)/18*-1) and z(-1). 36 Let q = 28502/1763 - 1/10578. Let w = -2482/3 + 809. What is the common denominator of w and q? 6 Suppose 22 = m - 2*i, 2*i - 30 + 4 = -3*m. Calculate the smallest common multiple of m and 6. 12 Let v(c) = -c**2 - c. Let i(b) = 6*b + 1. Let m(j) = i(j) + 6*v(j). Let u be m(-1). Calculate the common denominator of u/30 + (-62)/(-18) and -49/8. 72 Suppose -21*h + 23*h - 4 = 0. Suppose -5*c + 19 = -36. Suppose -h*w = -w - c. Calculate the smallest common multiple of 3 and w. 33 Let y be (12/(-10))/((-4)/(-20)). Let r(f) = -f**3 - 7*f**2 - 8*f - 5. What is the smallest common multiple of 8 and r(y)? 56 Let u(x) = 1301*x**2 + 4. Let h be u(-3). Let m be 3/6 - 187335/(-16). Let l = m - h. Calculate the common denominator of 55/14 and l. 112 Let d be ((-6)/(-18))/(2/13652). Let x = 68527/30 - d. Find the common denominator of x and -73/8. 40 Let u be 32/(-208) + (-106)/(-13). What is the smallest common multiple of 16 and (u/10)/((-5)/(-100))? 16 Let t = -26 + 17. Let k = t + 13. What is the least common multiple of 3 and k? 12 Suppose -53 = -5*u + 47. What is the smallest common multiple of 10 and u? 20 Suppose 4*v + 0*n - 3*n = -146, n + 68 = -2*v. Find the common denominator of 3 + -3 - (-54)/(-4) and 509/42 + 10/v. 6 Let l(t) = -t**2 - 13*t. What is the smallest common multiple of l(-11) and 76? 836 What is the lowest common multiple of 22 - (-1 + (-9)/(-3)) and 18/8*48/9? 60 Let n be (-1)/(-3)*(15 + 0). Let r = 3 - n. Calculate the common denominator of 91/8 and r/(-9) + (-974)/252. 56 Suppose 6*p = 2*p + 8. Let j(z) = z**2 + 2*z - 4. Let k be j(2). Calculate the least common multiple of 2/10*(k - -1) and p. 2 Let d be (-1)/1 - (-380)/(-7). Let y = d - -1522/35. Find the common denominator of y and 51/5. 5 Let a(y) = -2*y + 3. Let p = 4441051/6 + -730073. Let w = p + -10077. What is the common denominator of w and a(-5)? 6 Suppose -s = 3*s - 32. Suppose -20*a + 25*a = 25. Calculate the lowest common multiple of a and s. 40 Let o = 1371 + -8137/6. What is the common denomina
{ "pile_set_name": "DM Mathematics" }
8bd What is -2010202222 (base 3) in base 13? -1622c Convert -e1b77e (base 15) to base 12. -3710132 Convert 8863682 (base 9) to base 11. 2765878 Convert -215cf9 (base 16) to base 8. -10256371 What is 147200 (base 10) in base 8? 437400 -18d38 (base 16) to base 10 -101688 What is 68b844 (base 16) in base 10? 6862916 Convert -126ba2 (base 16) to base 6. -41512522 Convert -1110001010110100000000 (base 2) to base 3. -20222201001211 What is 161b472 (base 13) in base 3? 111101010102122 Convert -125465 (base 11) to base 5. -22310133 What is -121002212000022 (base 3) in base 6? -503241525 Convert -466a (base 16) to base 10. -18026 What is 10a77 (base 16) in base 12? 33587 What is 103213330303 (base 4) in base 5? 2304104441 111011111001100011000 (base 2) to base 13 53950a What is -13e7a9 (base 16) in base 10? -1304489 Convert 215832 (base 12) to base 13. 156581 What is 1181148 (base 12) in base 15? 4732c2 140313422 (base 6) to base 9 5274785 2077e (base 15) to base 12 4b6a8 What is 1120231223 (base 4) in base 13? c9518 Convert 8b0454 (base 14) to base 5. 2202213101 -3158336 (base 9) to base 5 -413123120 -232996 (base 11) to base 7 -3100241 9024b6 (base 15) to base 12 235b730 289162 (base 10) to base 2 1000110100110001010 What is 266730 (base 8) in base 4? 112313120 -361215 (base 7) to base 4 -33330000 What is -234482 (base 9) in base 5? -14003340 Convert 1890ad (base 14) to base 3. 1122012102021 Convert 1222210000210 (base 3) to base 12. 4306a9 What is 53cbc (base 14) in base 13? 71424 What is -466321 (base 7) in base 12? -4063a Convert 25537700 (base 8) to base 3. 101200211121101 -13000552 (base 6) to base 2 -1100110100100010100 What is 7a3093 (base 13) in base 14? 5539c8 -2521a (base 15) to base 6 -2313024 11026443 (base 7) to base 14 1a9823 Convert -276052 (base 8) to base 3. -11221111112 What is 201140315 (base 6) in base 2? 1101000010101101010111 Convert 2838a1 (base 11) to base 5. 103204202 Convert -1011001010110110 (base 2) to base 10. -45750 Convert 324640 (base 11) to base 15. a3989 What is -5012255 (base 7) in base 14? -11579c What is 64294a (base 14) in base 8? 14731026 Convert 11111010100111111110 (base 2) to base 9. 1834150 What is 54789 (base 13) in base 11? a4960 What is -1653132 (base 8) in base 7? -4041630 -210101222121 (base 3) to base 14 -ad7a7 -173415 (base 8) to base 13 -22a30 -480962 (base 12) to base 4 -10123311122 Convert a4471 (base 12) to base 14. 58485 What is 43a7a1 (base 16) in base 14? 835b7b Convert 6275b (base 16) to base 11. 255aa9 Convert -304509 (base 10) to base 16. -4a57d Convert -36206 (base 11) to base 7. -305030 Convert -7665640 (base 8) to base 3. -10212121122111 3051533 (base 6) to base 12 70ba9 Convert 97623 (base 10) to base 2. 10111110101010111 Convert -22144034 (base 5) to base 14. -507da What is 1519054 (base 10) in base 7? 15624505 45200 (base 8) to base 2 100101010000000 3495417 (base 13) to base 6 1335542533 Convert -111536106 (base 7) to base 11. -39244a2 What is -307851 (base 9) in base 3? -100021221201 Convert 3111a (base 13) to base 6. 1515424 1641464 (base 7) to base 11 1468a1 Convert 20084 (base 13) to base 14. 16bdc 52059a (base 16) to base 4 110200112122 What is 11210121021 (base 3) in base 15? 1ceda What is 8753 (base 16) in base 13? 129cb -c1631 (base 14) to base 12 -1a50a3 -2675677 (base 9) to base 14 -2a2a36 What is -45564015 (base 7) in base 10? -3982242 What is -136a97a (base 12) in base 6? -215022234 What is 252b5 (base 16) in base 5? 14332440 Convert 24332115 (base 6) to base 16. bd02f Convert -5540725 (base 11) to base 3. -200021221202112 -da3c5 (base 15) to base 5 -134131420 1333615 (base 8) to base 6 12010325 -479524 (base 10) to base 5 -110321044 What is 761330 (base 10) in base 5? 143330310 1323140 (base 5) to base 16 682e -61026 (base 8) to base 9 -37400 -201525255 (base 6) to base 12 -11a382b Convert 3a145 (base 12) to base 2. 10011011101000101 What is -2eb54 (base 15) in base 11? -a3542 Convert 423a8 (base 12) to base 3. 11102021202 101010212110 (base 3) to base 9 333773 -1ab21 (base 12) to base 7 -223345 Convert -154617 (base 8) to base 15. -11780 -25326200 (base 7) to base 11 -1326602 What is -1a0736 (base 13) in base 12? -278a43 -4fa772 (base 16) to base 14 -99c5a2 1000000011110000001 (base 2) to base 11 17043a 10e841d (base 15) to base 6 1111532531 -1b900b (base 15) to base 11 -83a825 Convert -10001010010110101101001 (base 2) to base 16. -452d69 What is -11100000010111001110 (base 2) in base 11? -5784a6 -455446 (base 11) to base 12 -2ab3b2 What is -11111100011100100111 (base 2) in base 5? -231042043 Convert 71037730 (base 8) to base 16. e43fd8 2521b (base 14) to base 10 90969 212221210220 (base 3) to base 5 110042100 Convert -212303121 (base 4) to base 8. -466331 What is 4524643 (base 8) in base 11? 765a07 -86610 (base 10) to base 8 -251122 What is 5187283 (base 9) in base 14? 522d6a 14d0a8 (base 16) to base 11 851994 Convert 7845 (base 11) to base 8. 24136 Convert -2320022 (base 4) to base 14. -441c Convert -72124 (base 8) to base 12. -15298 Convert ab508c (base 15) to base 16. 7ca0d0 What is 15818b (base 13) in base 14? dbc10 Convert 27403703 (base 8) to base 3. 102121002011222 -263600 (base 8) to base 13 -32b75 What is 242423 (base 6) in base 5? 1140302 What is -4304444 (base 6) in base 3? -101201102101 Convert 9723 (base 11) to base 8. 31063 What is 1541133 (base 6) in base 4? 112031301 10122220100220 (base 3) to base 4 13123101021 -100001011100110010011 (base 2) to base 4 -10023212103 Convert b28b2 (base 12) to base 3. 102211101122 Convert 2012000021212 (base 3) to base 16. 11b925 What is -2081115 (base 10) in base 3? -10220201202100 -4463615 (base 7) to base 4 -2013021131 What is 521142153 (base 6) in base 4? 202121223111 -21024202 (base 6) to base 5 -124010213 What is 20012012013 (base 4) in base 11? 121a41a Convert -16a5 (base 15) to base 13. -22b5 What is -2246671 (base 8) in base 9? -1128337 What is 48720 (base 10) in base 11? 33671 Convert 9781 (base 10) to base 11. 7392 Convert 112a25 (base 16) to base 11. 6a9178 -10220211202111 (base 3) to base 16 -1fc9ea What is 182aaa (base 14) in base 6? 30135530 Convert 1fc83 (base 16) to base 10. 130179 233176 (base 8) to base 16 1367e What is -3548291 (base 10) in base 2? -1101100010010010000011 What is c8ab (base 15) in base 5? 2324321 Convert -100101110100010000011 (base 2) to base 4. -10232202003 -519b6e (base 16) to base 9 -11051321 Convert -7aab4 (base 12) to base 4. -220002220 Convert -3484046 (base 10) to base 16. -35298e -13540152 (base 6) to base 4 -1301102210 -22213221 (base 4) to base 3 -2012200000 Convert 2100044 (base 5) to base 13. 12871 What is 73d30 (base 14) in base 15? 57d3e What is -3780523 (base 9) in base 15? -2aa820 What is 1008975 (base 13) in base 9? 10105416 a13ba (base 13) to base 3 112122200222 210222211021010 (base 3) to base 5 10443010444 What is 7135c4 (base 13) in base 14? 4c84d2 What is -2012000112 (base 3) in base 16? -a811 -538243 (base 16) to base 13 -1198084 Convert -12000000001 (base 3) to base 6. -2035344 Convert 355aaaa (base 11) to base 9. 12611426 Convert -23340337 (base 8) to base 14. -96902b Convert 11110001110010000011000 (base 2) to base 15. a6770c What is 178662 (base 13) in base 2? 10010000000001000010 -52b396 (base 12) to base 3 -2110022101020 43110203 (base 5) to base 2 1011000101010101010 Convert 4b2830 (base 14) to base 15. 35eaea Convert -11001010111000110 (base 2) to base 9. -167440 What is 2310223 (base 7) in base 3? 112122101101 -1016520 (base 7) to base 14 -32847 What is -211210041 (base 5) in base 2? -11010111010011101000 What is 2968c (base 13) in base 6? 1401121 -845c (base 14) to base 16 -5922 a1f2 (base 16) to base 15 c43d -523565 (base 9) to base 16 -4beea What is -234331011 (base 5) in base 12? -446602 What is 321268 (base 9) in base 10? 191222 What is -1957438 (base 13) in base 11? -4778511 115650 (base 14) to base 5 122404311 -793218 (base 12) to base 8 -7301164 -11010000110100111111101 (base 2) to base 6 -402355553 What is -1130032 (base 5) in base 10? -20642 Convert a3999 (base 13) to base 2. 1000111101111011000 Convert 21442014 (base 5) to base 7. 1406403 What is -130222 (base 10) in base 7? -1051441 What is 420444 (base 7) in base 6? 1314310 Convert 151
{ "pile_set_name": "DM Mathematics" }
-16 or -122/7? -122/7 Which is smaller: 6345/2 or 3174? 6345/2 Which is bigger: 1/1748 or -0.2? 1/1748 Which is smaller: -26 or -39? -39 Is -1/5147 not equal to -1? True Which is smaller: 0 or -41.2? -41.2 Which is smaller: 647 or 645? 645 Which is smaller: 164 or 161? 161 Which is greater: 210 or 220? 220 Are 1124 and 14628/13 unequal? True Which is smaller: 1.5 or 0.103? 0.103 Is -1/1374 at most -1? False Is 11 != -119? True Which is greater: -17 or -15? -15 Is 2/17395 smaller than 0? False Are -1 and -29 non-equal? True Is -1405 less than -1402? True Is 94 at least as big as 116? False Is 487 at least 9? True Are 59/143 and 0 nonequal? True Is 0.513 at most as big as -2/3? False Which is smaller: -52 or 420? -52 Is 20151 greater than 20150? True Do -2/5 and 15/2 have the same value? False Does -1/114 = 1? False Do -8 and -1774 have different values? True Is -16/95 at least as big as -1? True Is 60 at least as big as 1/2? True Is -1 less than -20/7? False Which is bigger: 1 or -48.891? 1 Is 67 bigger than 1547/23? False Is -43 >= 0.03? False Is -1288 bigger than -1289? True Does -75/284 = -1? False Which is greater: 856 or 857? 857 Is -168 not equal to -173? True Which is greater: -706 or -705? -705 Which is smaller: -125 or -123? -125 Is -63 greater than -45? False Is -92 at most -92? True Is 39 at least -23? True Which is greater: -6184 or 1? 1 Is 3171 bigger than -0.1? True Which is greater: 1266 or 1267? 1267 Is -1 greater than -1/311? False Which is smaller: 11/168 or -1? -1 Is -1 less than or equal to 7/23? True Which is smaller: 35143 or 35144? 35143 Is -5 equal to -5? True Which is greater: 43/450 or 1? 1 Which is bigger: 1 or 6/131? 1 Which is smaller: -101/29 or -2? -101/29 Which is bigger: 1 or -7/1284? 1 Is 13/12 bigger than -1/3? True Which is greater: 1/45489 or 0? 1/45489 Which is smaller: -28/739 or 1? -28/739 Which is bigger: -0.53 or -2/7? -2/7 Is 72 greater than or equal to 3? True Is -1/10 at most as big as 5? True Does 0.05 = -2.39? False Is -606 < -606? False Which is smaller: -11937 or -11936? -11937 Are -24171 and -24170 nonequal? True Is 78/829 >= 0? True Which is greater: -70 or -71? -70 Is 988 != 986? True Which is smaller: -2/9 or -110? -110 Which is smaller: -5 or 22/3? -5 Which is bigger: 13/1686 or -1? 13/1686 Are -15347 and -15346 non-equal? True Are -2431 and -2430 equal? False Is 63 at least as big as 60? True Which is smaller: 4/13 or 0.3? 0.3 Is -7465/3 less than -2488? True Are -1/55 and -1 unequal? True Is 0.1 greater than or equal to -42.2? True Which is greater: 1422/7 or 203? 1422/7 Are 2700 and 2699 unequal? True Is 0 >= -1/8? True Is -23 bigger than -21? False Which is greater: -149 or -152? -149 Which is bigger: -34/7 or 3/17? 3/17 Is 18/65 > 1? False Is -39 equal to -39? True Which is smaller: 3/502 or 1? 3/502 Which is greater: -12/29 or -1? -12/29 Which is bigger: 4/1377 or 0? 4/1377 Is -1/82 at least 8? False Does -12 = -34? False Is -642 equal to -638? False Which is greater: -15/32 or 1? 1 Is 24 less than 24? False Which is bigger: -2/11 or 322? 322 Is 16 > 449/27? False Which is smaller: 129 or 132? 129 Which is smaller: -97/12 or -7? -97/12 Is 588 < -14? False Which is bigger: -823 or -824? -823 Is 107 bigger than 423/4? True Is 1 at least 3/707? True Which is greater: 1146 or 1136? 1146 Is 2/36385 at most 0? False Are 2 and 13/23 unequal? True Which is smaller: 0.1 or 3037? 0.1 Is 52 smaller than -0.48? False Is 1206 > -2? True Which is smaller: 3/22445 or 0? 0 Which is smaller: 0 or 25/27? 0 Is -0.7 greater than 0.136? False Which is bigger: -3 or -20/23? -20/23 Are -6 and -24 unequal? True Does 230 = -2? False Is 552 equal to -1/2? False Is 66 >= 0.114? True Is -0.34 <= -101? False Is -1180 > -1179? False Which is smaller: 1 or -875? -875 Does 285 = 286? False Is 0.2 > -4.01? True Which is smaller: -404 or -403? -404 Is 0 <= -8.3? False Which is smaller: -8 or -107/12? -107/12 Is -394 equal to -396? False Which is smaller: -1 or 0.02? -1 Is 6 > 0? True Which is smaller: 146 or 135? 135 Is -68/15 greater than or equal to -4? False Is -5 >= 0.67? False Is -48 greater than or equal to -571/12? False Which is bigger: -2485/11 or -227? -2485/11 Which is bigger: -246 or -245? -245 Is 1 >= -10/133? True Which is bigger: 2/11 or 2029? 2029 Is -19/34 <= -2? False Is -7 greater than -146/19? True Is -153 < -56? True Is -0.577 greater than or equal to -0.3? False Is -1069 smaller than -1071? False Is 1 less than 22/2125? False Is -658 less than -658? False Is 4429 >= -1/2? True Which is smaller: -1/4 or -86/3? -86/3 Which is bigger: -1250 or -1249? -1249 Is 5934 greater than or equal to 17798/3? True Which is greater: 0 or 22/39? 22/39 Is -32/79 < 0? True Which is greater: 398 or 402? 402 Is 5 bigger than 50? False Which is smaller: 591 or 4128/7? 4128/7 Which is bigger: 3 or -7/95? 3 Are -50 and -2/11 equal? False Is -3408 equal to -3411? False Which is smaller: -1/424 or 2/17? -1/424 Which is smaller: -1361 or 0.2? -1361 Is -763 <= -763? True Which is bigger: -0.09 or 30? 30 Which is greater: 183 or 185? 185 Is 4/15 not equal to -5? True Is -2/7 not equal to -88? True Is 16 bigger than 135/8? False Is 6 bigger than 65/9? False Are 5964/5 and 1192 non-equal? True Which is bigger: -3/3754 or -1? -3/3754 Which is smaller: -101/135 or -1? -1 Is -2/3 at most -240/11? False Which is smaller: 0.9 or 15? 0.9 Is 17598 at most as big as 17598? True Which is bigger: -404/29 or -14? -404/29 Does -35/328 = 0? False Is 12 less than or equal to 1/18? False Which is smaller: -2 or -5591? -5591 Do -114 and -116 have different values? True Which is smaller: -198 or -199? -199 Is 4 >= 6? False Are 3361 and 3359 nonequal? True Which is bigger: -1 or -1/32? -1/32 Is 0 at least as big as -1/4646? True Which is bigger: -3/7 or 49? 49 Which is greater: 273/32 or 10? 10 Do 0.9 and 0.67 have different values? True Which is smaller: 552/91 or 6? 6 Which is smaller: 74/5 or 15? 74/5 Are -2278 and -2277 non-equal? True Which is greater: 0.2487 or 1? 1 Is -2 greater than or equal to 1609? False Which is greater: 344 or 347? 347 Which is smaller: -9194 or -9195? -9195 Is -0.03 smaller than -4.75? False Is -1 at least -4/75? False Is -29 at least as big as -197/7? False Which is smaller: -435 or -436? -436 Which is smaller: 0 or 8/287? 0 Which is smaller: -2 or -26/9? -26/9 Which is smaller: 0 or 2/7607? 0 Is -1 != 5/16? True Is -5 less than -216/49? True Is 23 at most as big as 132? True Which is smaller: -1/1662 or 0? -1/1662 Is 26 >= -92? True Is 0 <= 482/5? True Which is bigger: 159/94 or 3? 3 Which is bigger: 313 or 311? 313 Is -146 greater than -155? True Is -8077 at most as big as -8076? True Which is smaller: -60 or -5? -60 Which is smaller: -1 or -17/9? -17/9 Which is smaller: 10 or 1.63? 1.63 Which is greater: 6 or 184/27? 184/27 Is -452 < -466? False Which is bigger: -0.4 or 3178? 3178 Which is bigger: 445 or 446? 446 Which is greater: 43 or 2/13? 43 Is -112 greater than -9? False Is 6/383 at most -1? False Which is bigger: -1 or 2/3993? 2/3993 Which is bigger: -119 or -121? -119 Which is smaller: -2/855 or -1? -1 Is -1724 equal to -1724? True Which is smaller: -510/41 or -11? -510/41 Is 22 bigger than 1232/59? True Is 232 > 697/3? False Is 90 bigger than 636/7? False Does 17943/7 = 2564? False Which is greater: 21 or 1/9? 21 Is -793 not equal to -795? True Which is greater: 199/27 or 8? 8 Which is bigger: 1/3763 or 0? 1/3763 Is 0 bigger than 1/404? False Is 0 bigger than -4/25003? True Which is greater: 32 or 36? 36 Which is smaller: -419/25 or -18? -18 Is 423 >= 423? True Is -1210 at least -1210? True Is -158 smaller than -157? True Is 0 less than -5/148? False Which is bigger: 41/3 or -9? 41/3 Which is smaller: 889 or 888? 888 Do -3/8140 and 1 have different values? True Do 114 and 344/3 have the same value? False Which is greater: 319 or 1281/4? 1281/4 Which is bigger: 2/3 or -25.3? 2/3 Is -9910 less than -9909? True Which is bigger: -631 or -635? -631 Is -1 != -45? True Which is greater: -946 or -960? -946 Which is smaller: -777 or -780? -780 Which is bigger: 29 or 59? 59 Are -1150 and -1157 non-equal? True Which is greater: -14/99 or -1? -14/99 Which is bigger: 29/39 or 2? 2 Is 53/758 < 0? False Which is g
{ "pile_set_name": "DM Mathematics" }
12/r). Let m be (i/6 + 0)*15/(-10). Calculate the highest common factor of m and 16. 16 Let m be 28*(1/2 + 1). Suppose 96*o - 2842 = -4*q + 95*o, -4*q - 5*o = -2850. Let f = -654 + q. What is the highest common factor of m and f? 14 Let r = 27 - 22. Suppose -3*x - 52 = -r*y, 16 = -0*y + 3*y + 2*x. Suppose h - 40 = 5*z, -7*z + 3*z + 40 = h. Calculate the highest common divisor of h and y. 8 Let f = 35 + -36. Let c(o) = -5*o + 1. Let z be c(f). Let u be ((-9)/z)/((-4)/72). What is the greatest common factor of 3 and u? 3 Let z be ((-83)/3)/(1/3). Let d = z + 67. Let f = d + 45. Calculate the highest common factor of 29 and f. 29 Let i = 50 - 48. Suppose j - 2*v - 70 = -j, 2*j + i*v = 70. Let t(d) = d + 2. Let w be t(5). What is the greatest common factor of w and j? 7 Suppose 10*c + 139 = 13*c + h, -5*c + h + 245 = 0. Suppose 5*d = -3*q - 6, 2*d - 6*d = 4*q. What is the highest common divisor of q and c? 3 Suppose -74*s + 20*s - 24786 = 0. Let k = -441 - s. Calculate the highest common divisor of k and 702. 18 Let g = -27006 + 27378. Calculate the greatest common factor of 3844 and g. 124 Suppose 49*o = 1022 + 5446. What is the highest common factor of 3102 and o? 66 Let a(p) = p**3 + 55*p**2 + 49*p - 257. Let j be a(-54). Let v = -42 + 159. Calculate the highest common divisor of v and j. 13 Suppose -57*i = -56*i - 6. Suppose -10*o + 12*o = i. Suppose 406 = 10*g - o*g. What is the greatest common divisor of g and 87? 29 Let r(w) = -10*w**3 + 12*w**2 + 34*w + 203. Let z be r(-9). What is the highest common divisor of z and 41? 41 Let w = -291 - -293. Suppose -2*a + a - 2095 = -5*x, 2*a + 830 = w*x. What is the highest common divisor of x and 30? 30 Let f(h) = -3*h**2 - 27*h + 787. Let k be f(-21). Let p(u) = -47*u - 4. Let r be p(-3). Let l = k + r. What is the greatest common factor of l and 24? 24 Let v(u) = -59*u - 237. Let t be v(-13). What is the greatest common factor of t and 50? 10 Let g = -914 - -970. What is the greatest common divisor of g and 21? 7 Let x be 17 + -5 + -1 + -2. Suppose 56 = 13*f - x. Let o(k) = -k**3 - 7*k**2 - 6*k + 2. Let n be o(-6). Calculate the highest common divisor of n and f. 1 Suppose -g = -d - 16, -23 - 13 = -g - 4*d. Calculate the greatest common factor of g and 1700. 20 Suppose -5*x + 1434 = 16*x - 2955. Let z be 1/(-3)*19*-3. Calculate the highest common factor of x and z. 19 Let j(a) = 86*a**2 - 10*a + 41. Let m be j(6). Suppose -4*i + 4112 = -k - 3*k, -4*k = 3*i - m. What is the highest common factor of 13 and i? 13 Suppose -935*o + 966*o - 31 = 0. Calculate the greatest common factor of o and 3701. 1 Suppose 37*s - 38*s - 3*o = -45, -5*s + 8*o + 271 = 0. Calculate the greatest common divisor of s and 2839. 17 Let b be 12 + (-3)/(6/(-286)). Calculate the highest common factor of 341 and b. 31 Let q(b) = -15*b + 2968. Let r be q(23). Calculate the greatest common divisor of 215 and r. 43 Let a = 21275 - 21185. What is the greatest common factor of a and 6795? 45 Suppose -25 = -25*j - 0. Let u be (3325/57)/(j/3). Calculate the highest common divisor of 25 and u. 25 Let k be 1 + (-229)/(-2) + (2460/(-40))/(-41). What is the highest common divisor of k and 4836? 39 Let t be (-1)/((8/14)/(-4)). Let m(y) = -6*y**3 + 3*y**2 - 6*y - 8. Let p be m(-1). What is the highest common factor of t and p? 7 Let z(v) = 34*v**2 - 5*v - 424. Let i be z(16). Calculate the highest common factor of 40 and i. 40 Let q(m) = -34*m**3 - 2*m**2 - m. Let b be q(-2). Suppose -16*f - 3024 = -41*f - 47*f - 36*f. Calculate the greatest common divisor of f and b. 14 Let n = -1769 - -1195. Let d = -352 - n. What is the highest common factor of 6 and d? 6 Let g be -2*((-3)/9 - 182/12). Suppose -g*y + 648 = -23*y. What is the highest common factor of y and 189? 27 Let n(g) = -g**3 - 2*g + 35. Let v(x) = 19*x - 114. Let i be v(6). Let y be n(i). What is the highest common factor of 21 and y? 7 Let u(d) be the second derivative of -d**5/20 - d**4/12 + 17*d**3/3 - 8*d**2 + 19*d. Let j be u(-7). Calculate the highest common divisor of j and 64. 8 Let o(b) = -48*b - 11. Let j be o(-7). Suppose 3*k - 8*k + j = 0. What is the highest common divisor of 5 and k? 5 Let a(x) = 9602*x + 96052. Let c be a(-10). Let h = 108 - 76. What is the greatest common factor of c and h? 32 Let y = 6737 + -6585. Calculate the highest common divisor of y and 627. 19 Suppose -2*c + 33*c + 8835 = 0. Let q = 327 + c. Let m(a) = -13*a**3 + a**2. Let j be m(-1). Calculate the greatest common divisor of q and j. 14 Let k(v) = v + 59*v**2 + 78*v**2 + 78*v**2 + 1. Let s be k(-1). Suppose -b - 35 = -s. What is the highest common factor of 36 and b? 36 Suppose -314*y + 51 = -311*y. Suppose a = 19 - y. Calculate the greatest common factor of 32 and a. 2 Let n = 193 - 191. Suppose -n*m - 2*m - 4*t = -204, -4*m = -5*t - 240. What is the greatest common factor of m and 11? 11 Let r be (-8)/(6 - 7) - (8 - 9). What is the greatest common divisor of 53 and r? 1 Suppose -4*m + 753 = 5*t, 2*m = 4*t - 68 - 550. What is the greatest common divisor of 6 and t? 3 Let b be 5747 - ((-2 - -4) + -1). Suppose b = 13*d + 832. What is the highest common factor of 42 and d? 42 Let c(s) = -47*s**3 + 3*s**2 - 14*s - 17. Let m be c(-1). Calculate the highest common factor of m and 235. 47 Let r = 15662 + -1976. Calculate the highest common divisor of 6 and r. 6 Let z be (-92)/((-356)/(-90) - 4/1). Suppose -41*c + z = -11*c. Calculate the highest common divisor of 1104 and c. 69 Let x be ((-36)/144 + 361/4)*2/4. Calculate the highest common divisor of 485 and x. 5 Suppose 4*x + o + 634 = -510, 1144 = -4*x - 4*o. Let z = 322 + x. Let l(h) = 2*h**2 - h - 3. Let f be l(-3). Calculate the greatest common factor of f and z. 18 Let x(o) = 50*o + 234. Let n be x(-3). Suppose -4*s + 575 = -3*t, 3*s - 5*t = 5*s - 255. What is the highest common divisor of n and s? 28 Let c(t) = -t**2 + 11*t - 5. Let s be c(4). Let u = 172 + -152. Let g be ((-23)/(-3))/(u/60). Calculate the highest common divisor of s and g. 23 Let p = 5460 + 615. What is the highest common divisor of 25 and p? 25 Let g = -27323 - -27581. Calculate the greatest common divisor of 6 and g. 6 Suppose 0 = -2*y - 2*y. Suppose 0 = s, -2 = -2*g + s - y. Let w = -337 - -338. What is the highest common factor of g and w? 1 Let j = 43 - -7. Suppose -8*r - 10 = -j. Let o be (88/10)/((-1)/(r/(-1))). Calculate the greatest common divisor of 66 and o. 22 Let p(o) = 3*o**2 + 6*o - 11. Let a be p(-5). Let y = a + -28. Let f(l) = l**2 - 4*l + 15. Let g be f(y). Calculate the greatest common divisor of g and 27. 27 Let g = -426 - -451. Suppose 9*k + 2*p + 56 = 11*k, 0 = 5*p - g. What is the highest common divisor of k and 825? 33 Let d = 1285 - 821. What is the highest common divisor of d and 4? 4 Suppose -54 = -2*t + 4*s + 2, 2*s = 3*t - 72. Suppose 63 + 56 = 7*f. Suppose -127 + f = -b. Calculate the greatest common factor of t and b. 22 Let o(z) = -2*z**3 + 19*z**2 + 12*z + 9. Let w be o(9). Suppose 4*l - w = u + 185, -94 = -l + 2*u. What is the greatest common divisor of l and 6? 6 Let w = 53 + 60. Suppose -d + w = -4. Let h be (-3 + d/15)/((-4)/(-150)). What is the greatest common divisor of h and 72? 36 Let o = -161 - -125. Let a = 44 - o. Calculate the greatest common divisor of 20 and a. 20 Suppose -23*a + 39*a - 1040 = 0. Let c be (a/(-2))/(2/(-20)). Calculate the highest common divisor of 26 and c. 13 Suppose -32*j + 22071 - 1121 = -30250. What is the highest common divisor of 125 and j? 25 Suppose 0 = -23*i + 32*i + 2277. Let r = -237 - i. Let w(c) = 3*c**2 + 4. Let q be w(-6). Calculate the highest common divisor of q and r. 16 Suppose h + 4*a = 1250, 100*h - 96*h - 5090 = -a. Calculate the highest common factor of 78 and h. 26 Suppose 5*z = 286 - 31. Let r = 115 - 81. What is the greatest common factor of r and z? 17 Let a = -619 + 1159. Suppose -2*q - a = -8*q. Calculate the greatest common divisor of 72 and q. 18 Let r = 11471 - 4170. Calculate the greatest common divisor of r and 49. 49 Suppose 345 = 3*j - 168. Suppose -3*w = 30, 31566*x = 31561*x - 3*w + 65. Calculate the greatest common divisor of j and x. 19 Suppose -19*k + 923 = 220. What is the highest common factor of 851 and k? 37 Let p(k) = 96*k + 1904. Let i be p(-19). What is the hi
{ "pile_set_name": "DM Mathematics" }
. Let k(w) = 0*w + w + 2*w. Give g(k(c)). 18*c**2 Let f(g) = -68*g**2 + 9*g + 3. Let a(q) = q. Give f(a(k)). -68*k**2 + 9*k + 3 Let x(k) be the second derivative of 5*k**4/12 - 11*k. Let i(b) = -b. What is i(x(g))? -5*g**2 Let c(u) = 2*u**2. Let l(f) be the first derivative of -3*f**2 + 7. What is c(l(p))? 72*p**2 Let n(k) be the first derivative of 11*k**3/3 + 9*k**2/2 - 9*k + 5. Let r(q) = -5*q**2 - 4*q + 4. Let h(t) = -4*n(t) - 9*r(t). Let o(y) = 5*y. What is h(o(u))? 25*u**2 Let t(i) = 30*i. Let q(w) = 17*w. Give t(q(b)). 510*b Let c(m) = -5*m**2 - 6*m. Let b(d) = d**2 + d. Let u(q) = 6*b(q) + c(q). Let l(t) = t. Give l(u(x)). x**2 Let h(l) = -l**2 - 1. Let y(z) = 8*z**2 + 7. Let r(w) = -21*h(w) - 3*y(w). Let b(t) be the first derivative of 0*t + 3 - 1/2*t**2. Give r(b(x)). -3*x**2 Let o(v) = -54*v. Let n(w) = 4*w. Calculate n(o(l)). -216*l Let f(m) = -m**2. Let a(j) = 133 - 133 - 8*j. Calculate f(a(n)). -64*n**2 Let h(x) = x - 3482. Let j(g) = -8*g. What is h(j(f))? -8*f - 3482 Let s(d) = -2*d**2 - 3*d**2 + 6*d**2. Let f(t) = 7*t**2. Determine f(s(o)). 7*o**4 Let d(g) be the second derivative of -g**3/3 - 3*g. Let n(h) be the first derivative of h**3/3 + 2. Determine n(d(v)). 4*v**2 Let b(j) = -3*j**2. Let t(m) = -m. Suppose -4 + 2 = d. Let l(o) = -3*o. Let f(q) = d*t(q) + l(q). Determine f(b(s)). 3*s**2 Let d(f) = 15*f. Suppose 5*s - 52 = -4*j, -j + 71 = 5*s + 13. Let n(r) = -r**2 + 11 + 1 - s. Give d(n(v)). -15*v**2 Let g(w) = 274*w. Let y(k) = -8*k**2. Give y(g(s)). -600608*s**2 Let o(j) = -5*j**2. Let l(t) = -71*t. Give o(l(a)). -25205*a**2 Let d(o) = 1670*o**2. Let u(g) = -5*g**2. Give d(u(j)). 41750*j**4 Let h(p) = -p**2. Let u(z) = 2*z**2 + 5. Let j(v) = 2*v**2 + 6. Let o(m) = -5*j(m) + 6*u(m). What is h(o(f))? -4*f**4 Let w(h) = 69*h - 69*h + 7*h**2. Let n(j) = -j**2. Calculate w(n(q)). 7*q**4 Let f(t) be the second derivative of t**3/3 - 26*t. Let q(i) = 2*i**2 + 18. Determine f(q(d)). 4*d**2 + 36 Let h(z) = -7*z + 14*z + 53*z. Let q(t) = -2*t. Give h(q(r)). -120*r Let b(g) = -4*g**2. Let p(s) be the third derivative of -s**4/6 - 7*s**2. Give p(b(f)). 16*f**2 Let o(d) = -6*d**2 + 15*d**2 - 8*d**2. Let v(g) = 2*g**2 + 22*g. Give o(v(w)). 4*w**4 + 88*w**3 + 484*w**2 Let k(w) = 607*w**2. Let l(n) = 3*n. Give l(k(o)). 1821*o**2 Let r(f) = -6*f. Let b(q) = 1 - 1 + 14*q - 13*q. Calculate r(b(n)). -6*n Let i(c) = 56*c - 2. Let s(m) = -2*m. Determine i(s(w)). -112*w - 2 Let d(j) = -j + 2*j - 3*j. Let l(p) be the first derivative of -p**4/12 - p**2/2 - 4. Let s(z) be the second derivative of l(z). Give d(s(k)). 4*k Let y(w) = -w**2. Let u(s) = -1491*s. Calculate u(y(m)). 1491*m**2 Let g(x) = 2*x. Let r(d) be the second derivative of d**4/3 + 8*d. Calculate r(g(a)). 16*a**2 Let t(n) = -2*n + 1. Let y be t(-3). Suppose 1 = -3*l + 3*k + y, 2 = l + 5*k. Let s(i) = -l*i + 4*i + 0*i. Let h(a) = -2*a. Determine h(s(z)). -4*z Let b(h) = 32*h - 15*h - 15*h - 7*h. Let u(y) = 10*y + 11. Let t(a) be the first derivative of a**2/2 + a - 1. Let c(j) = -22*t(j) + 2*u(j). Determine b(c(i)). 10*i Let z(l) = -2*l**2. Let d(m) be the third derivative of -m**5/30 + 2*m**2. Determine d(z(i)). -8*i**4 Let h(k) = 36*k**2 - 2*k. Let c(w) = -5*w. Calculate h(c(f)). 900*f**2 + 10*f Let z(w) = -260*w - 1. Let n(d) = -6*d**2. What is n(z(s))? -405600*s**2 - 3120*s - 6 Let y(w) = -2*w**2. Let h be (4 + -2)/(1/4). Suppose -3*q - 5*v = h, 4*q - v + 4*v = 4. Let u(b) = b - 3*b + q*b. Determine u(y(g)). -4*g**2 Let f = -3 - -9. Let v(d) = -d - 2 + f - 4. Let c(r) = -r + 2. Let a(j) = 2*j - 5. Let u(i) = 6*a(i) + 15*c(i). Determine v(u(h)). 3*h Let n = 2 - 0. Let v(c) = n*c**2 + 0*c**2 - c**2 - 3*c**2. Let j(o) = -o**2. What is j(v(h))? -4*h**4 Let y(p) = 10*p**2. Let h(c) be the second derivative of -c**3/6 - 2*c. Give h(y(u)). -10*u**2 Let c(k) = -3*k**2. Let p(v) = -3*v + 5. Determine c(p(h)). -27*h**2 + 90*h - 75 Let v(d) = 19*d + 2*d**2 - 19*d. Let j(a) = 2*a. Give v(j(n)). 8*n**2 Let f(k) be the third derivative of 0*k**4 + 1/60*k**5 + 0*k**3 + 0 - 5*k**2 + 0*k. Let y(m) = 7*m**2. Give y(f(c)). 7*c**4 Let o(m) = -2*m**2. Let l(k) = 9*k**2 - 95. Determine l(o(s)). 36*s**4 - 95 Let c(i) = -2*i. Let m(p) be the first derivative of 0*p - 1 + 0*p**2 + 1/3*p**3. Let s(f) = f**2. Let w(u) = 3*m(u) - 2*s(u). Give w(c(y)). 4*y**2 Let d(c) = -c**2. Let o(a) = -731*a**2. Determine d(o(w)). -534361*w**4 Let g(m) = 6394*m**2. Let c(k) = 2*k**2. Calculate g(c(j)). 25576*j**4 Let a(h) = 9*h**2 + 3*h. Let b(i) = -8*i**2 - 2*i. Let t(s) = -6*a(s) - 9*b(s). Let y(f) = 2*f**2. What is t(y(u))? 72*u**4 Let x(m) = m. Let p(z) = -6*z. Let q(t) = 3*p(t) + 16*x(t). Let h be 24/11 + 2/(-11). Let r(d) = -h*d + 2*d + 2*d. Calculate r(q(a)). -4*a Let x(y) = 77*y. Let l(k) = -13*k. Let f(i) = 35*l(i) + 6*x(i). Let a(r) = -r. Give f(a(p)). -7*p Let b(t) = -t**2. Let q = 51 - 49. Let z(y) be the first derivative of 3/2*y**q + 0*y - 3. What is b(z(h))? -9*h**2 Let x(t) = -2*t. Let r(z) be the third derivative of z**5/60 + 4*z**3/3 + 42*z**2. Give x(r(m)). -2*m**2 - 16 Let v(k) = -11*k**2. Let j(p) = -16*p**2. Give j(v(n)). -1936*n**4 Let b(r) = r. Let q(i) = -46*i + 6. Calculate q(b(x)). -46*x + 6 Let h(s) = -2*s. Let q(v) be the second derivative of 1/6*v**3 + 0*v**2 + 0 + v. What is h(q(k))? -2*k Let p(f) = 0*f + f - 4*f - 2*f. Let l(x) = 3*x. Calculate l(p(w)). -15*w Let u(b) = 2*b. Let q = -3 - -5. Let x(a) = a**q - 2*a**2 + 0*a**2. Give x(u(i)). -4*i**2 Let i(f) = -30*f. Let k(s) = 440*s. Calculate i(k(c)). -13200*c Let b(o) = 3*o**2. Let h(v) = 5*v + 3. Let k(y) = -14*y - 10. Let x(j) = 10*h(j) + 3*k(j). Give x(b(d)). 24*d**2 Let u(q) = -5*q. Let y be ((-2)/(-1))/4*4. Let l be (y/3)/((-1)/(-3)). Let w(t) = -40*t + 40*t + l*t**2. Calculate u(w(x)). -10*x**2 Let u(a) = -2*a. Let x(d) = d. Let z(o) = -o. Let n(p) = 2*x(p) - 2*z(p). Determine n(u(k)). -8*k Let x(z) = -2*z. Suppose 3*b - 16 = -c, -2*b = 3*c + 3*b - 40. Suppose 0 = 4*m + 3*t + 5 - 25, 5*m = 5*t - c. Let a(u) = m - 2 - u. Determine x(a(f)). 2*f Let l(y) = -2*y**2. Let w(d) = 3108*d**2. Calculate w(l(s)). 12432*s**4 Let o(u) = -116*u**2 - 2. Let l(q) = 9*q. Give o(l(g)). -9396*g**2 - 2 Let w(p) be the first derivative of p**3/3 + 29. Let b(r) = -5*r - 1. What is w(b(q))? 25*q**2 + 10*q + 1 Suppose 3 = -3*y - 2*v, 2*v + 3*v = 0. Let h be 1/((-3)/(1*-3)). Let s(q) = -2*q**2 + q. Let c(a) = a. Let z(b) = h*s(b) + y*c(b). Let p(t) = t. Give z(p(k)). -2*k**2 Let q(c) = -c**2. Suppose -3*k = k. Let m(r) be the second derivative of 2*r + k + 0*r**2 - 1/6*r**3. Give q(m(x)). -x**2 Let g(t) = -5*t + 9. Let z(p) = -p + 2. Let k(f) = -2*g(f) + 9*z(f). Let x(q) = 5*q + 3. Let a(h) = -9*h - 5. Let j(n) = -3*a(n) - 5*x(n). Calculate j(k(w)). 2*w Let g(h) = 2*h. Let n(a) = 186 + 10*a - 186. Give g(n(b)). 20*b Let l(d) be the first derivative of 16*d**2 - 2. Let v(h) = 2*h. What is l(v(c))? 64*c Let s(p) = -2*p. Let h(t) = -36*t + 4. Calculate h(s(v)). 72*v + 4 Let p(m) = 66*m. Let c(n) = -7*n**2. Calculate c(p(t)). -30492*t**2 Let i(s) = 4*s. Suppose 0 + 10 = 5*x. Let p(r) be the first derivative of -4*r**2 - 3*r**2 + 6*r**x + 2. Calculate i(p(z)). -8*z Let q(b) = -10*b. Let w(a) = -4*a**2. Let t(z) = -2*z**2. Let u(h) = 13*t(h) - 6*w(h). Determine q(u(i)). 20*i**2 Let v(t) = -2*t - 8*t + t + 2*t. Let g(j) = 7*j**2. What is v(g(o))? -49*o**2 Let n(d) = -2*d**2. Let q be -2 + 4*(-2 - -3). Let o(g) be the third derivative of g**q + 0*g**4 + 0*g + 1/30*g**5 + 0*g**3 + 0. Calculate n(o(v)). -8*v**4 Let r(w) = w**2. Let k(a) = a + 1. Let j(x) = x**2 - 3*x - 3. Let o(f) = -j(f) - 3*k(f). Give o(r(i)). -i**4 Suppose 0 = 2*a - x - 3, 0 = a + 3*x + 2*x - 29. Let q(n) = -a*n + 2*n + 3*n. Let y(z) = -3*z**2. What is y(q(l))? -3*l**2 Let s(r) = r**2. Let k = -2 - -4. Let u(c) be the third derivative of 0*c**4 + k*c**2 - 1/20*c**5 + 0 + 0*c**3 + 0*c. Give s(u(a)). 9*a**4 Let j be 5/15 + 4/6. Let l(z) = -3*z - j + 1 + 2*z. Let w(v) = 8*v**2. Calculate l(w(d)). -8*d**2 Let r(t) = 181*t. Let v(i) = -8*i**2 + 2. Give r(v(n)). -1448*n**2 + 362 Let m(a) = -5*a**2. Let i(n) = 2*n**2. Let p(h) = 5*i(h) + 3*m(h). Let b(z) = -z. What is b(p(j))? 5*j**2 Let g(b) = b**2. Let i(n) = 169*n**2. Give i(g(y)). 169*y**4 Let h(t) = -7*t. Let o(b) be the third derivative of
{ "pile_set_name": "DM Mathematics" }
in 0.1, z, y? y Let q = 12296 - 1364780/111. Let u = q + -4651/74. Let v = u - -62. Which is the smallest value? (a) v (b) -4 (c) -0.5 b Let f = 1.578 + 0.022. Which is the second biggest value? (a) 5 (b) 0 (c) f c Let w = 51 + -58. Which is the biggest value? (a) 0.3 (b) 2 (c) 0.2 (d) w b Let z = -401 - -765. Let y = z - 1449/4. Let w = y + -9/4. What is the third biggest value in w, -1/4, -5? -5 Let b = -9 - -8.9. What is the third biggest value in -4/7, b, 2? -4/7 Let o = -8.08 + 0.08. Let t = -7 - o. What is the biggest value in t, 5, -0.1? 5 Let j = -2 + 1.81. Let z = -0.01 + j. Let k = 8/7 - 23/14. What is the third biggest value in k, -0.1, z? k Let s = -4 - -3.7. Let o = 17 + -9. Let h = o - 7. Which is the third smallest value? (a) -1 (b) h (c) s b Let p = 0 - 0.1. Let u = 4.4 - 0.4. What is the biggest value in u, -3, p? u Let k(u) = 2*u**2 - u**2 - 6*u + 1 - 1. Let i be k(5). What is the third biggest value in -2, i, 3/4? i Let r = -15 - -12. What is the third biggest value in 2, -1/2, r? r Let n = 0.09 + -4.09. Let j be (((-20)/(-6))/(-5))/((-6)/9). Which is the second smallest value? (a) j (b) 0.8 (c) n b Let f be 1/1*(-6)/2. Let k = 84 - 86. Which is the third biggest value? (a) k (b) 4 (c) f c Let m = 17 - 19. Let d(i) = i - 6. Let h be d(5). Let s be (-4)/12 + h/6. What is the smallest value in s, 1/3, m? m Let c(z) = -2*z - 1. Let g be c(-2). Suppose 7 = -g*j - 5. Let a = 338 + -4392/13. What is the biggest value in 2/9, a, j? 2/9 Suppose -3*i - 3 = 0, -4*l = -2*i - 6 - 4. What is the fourth smallest value in l, 5, 0, 0.4? 5 Let t = 0.19 + 7.81. Let h = t + -9. What is the biggest value in h, -4/3, -0.1? -0.1 Suppose 3*w + p + 17 = 0, w - 14 = 2*w + 2*p. Which is the third biggest value? (a) -0.2 (b) -0.4 (c) w c Let j = 1.5 - 0.6. Let f = -0.7 + j. Which is the second smallest value? (a) -3/2 (b) f (c) -1 c Let z = -81.2 - -81. Which is the fourth smallest value? (a) -3 (b) -2/3 (c) -2 (d) z d Let r = 89 + -88. What is the third smallest value in -3, -4, 3, r? r Let r be 20/(-12) - -2 - 2. What is the biggest value in 1/10, r, -0.5? 1/10 Let j(l) = l**3 - 7*l**2 + 14*l - 22. Let k be j(5). Let y = -520/7 - -74. Which is the third biggest value? (a) y (b) 1/3 (c) k c Let s be 4/6*3/100. What is the third biggest value in s, -0.4, -2? -2 Let o be 26/(-8) - (-12)/(-16). Which is the third smallest value? (a) -5 (b) 3 (c) o b Let y = 1.3 - 1. Suppose 2*w = 5*w - 6. Let t be (-120)/(-273) + w/(-7). Which is the biggest value? (a) -1 (b) y (c) t b Let v = 52 - 47. Suppose -4*l + 6 = -6. What is the biggest value in l, v, 0.1? v Let x(d) = -2*d**2 - 14*d - 5. Let m be x(-6). Which is the second smallest value? (a) 1 (b) m (c) 4 c Let j = 1 - 3. Suppose 9 = -2*o + 3*u, 0 = 2*o - 3*o - 3*u - 9. Let n be (-10)/3*o/(-8). What is the second biggest value in n, j, 4? j Let n be (5 - 6)*1/2. Let u = -4 - -8. Let v = 4.1 - u. What is the second biggest value in n, -5, v? n Suppose -2*u + 12 = 2*u. What is the biggest value in -2, -1/7, 5, u? 5 Let v be (-2)/6 - (-32)/6. Let m = -1 - -1.3. Which is the third smallest value? (a) -2/9 (b) v (c) m b Suppose 4*h - 2*d = 5 - 1, 5*h - 8 = d. Which is the third biggest value? (a) h (b) -8 (c) -1/5 b Let f = 52 - 55. Which is the third biggest value? (a) f (b) 2 (c) -1/5 (d) 1 c Let l = 0.4 - -3.6. Let g = 3.8 - l. Which is the smallest value? (a) 2 (b) g (c) -2/9 c Let p = 0.4 + -3.4. Let t = 1 - -6. Suppose 2*v - 2 = 4*m - 3*m, -2*m + 5*v = t. Which is the third smallest value? (a) p (b) 5 (c) m b Let o = -0.63 - -0.33. Suppose 0 = 5*j - 1 + 16. Which is the second biggest value? (a) o (b) -1 (c) j b Let a = 221/3 - 73. Suppose 0 = 3*r - 0*r - 9. Let t = 3.6 + -4. What is the third smallest value in a, r, t? r Let g be (-832)/(-18) - 4/18. Let i = g + -325/7. Let w = -4/21 - -11/21. Which is the biggest value? (a) 2 (b) i (c) w a Let l be (-221)/68 + 3/1. What is the second biggest value in 4, -1/3, 0.4, l? 0.4 Let g be 5/12 + (-4)/6. Let p be (-3)/9 + 4/(-6). What is the third smallest value in g, -3/4, p? g Let r = 47 - 469/10. Which is the third smallest value? (a) 1 (b) r (c) -3 a Let f = -0.13 - -0.09. What is the third smallest value in -3, 1/3, f, -1/10? f Let i = -0.5 - 10.5. Let q = 8 + i. Which is the third smallest value? (a) 0.4 (b) -0.2 (c) q a Let t be 2/(-2) - (-8)/6. Let l = 15 + -11. What is the third smallest value in l, t, 1? l Let f = 3 + -3. Let d = -0.07 - 5.93. Let x = d - -8. What is the smallest value in f, x, 0.2? f Suppose 116 = 5*b + 11. Let l = b + -18. What is the third biggest value in 3/2, 0, l? 0 Let o = -1.2 - 16.8. Let v = o - -15. Let h = -5.1 - -1.1. Which is the second smallest value? (a) v (b) h (c) 2 a Let h be (-2)/(-7) + 304/14. Suppose h = 5*p - 3. Let f be (-22)/(-20) - 1/2. Which is the third smallest value? (a) 0.4 (b) f (c) p c Let w be (-6)/10 - 44/(-40). Which is the third biggest value? (a) -4 (b) -2/9 (c) w a Let a = 13 - 13.07. Let l = -2.07 - a. Let x = l - -1.5. What is the second smallest value in x, 0, 2/3? 0 Let j = 1.02 + -0.02. Let c = 6 - j. Let n = -10 + c. What is the biggest value in -0.4, n, 4? 4 Let k = 142 + -142.1. Which is the smallest value? (a) -1/4 (b) k (c) 0.07 (d) 3 a Let h = 0 - 0.4. Let d = -0.9 - h. Let p = -5 - -5.4. Which is the smallest value? (a) -5 (b) d (c) p a Suppose -i = i + 3*v - 2, 10 = -3*i + 2*v. Let p be (1 - (-20)/(-18))*i. Let l be 7/20 - (-2)/5. What is the smallest value in p, l, 0.2? 0.2 Let j = 0.009 + 4.991. Which is the second biggest value? (a) -2/13 (b) -0.5 (c) 1/9 (d) j c Let m = -12 - -13. Which is the second biggest value? (a) 0.1 (b) -2/7 (c) m a Let p = 1.82 - -0.18. What is the second smallest value in p, -2, -3/4? -3/4 Let u = 6 + -6.3. Let v = u - -0.2. What is the third smallest value in -3/4, -0.4, v? v Let q(y) be the third derivative of y**4/12 - 11*y**3/6 + 2*y**2. Let f be q(8). Which is the second biggest value? (a) -5 (b) f (c) -3/5 c Let l = 114 + -113.5. What is the smallest value in -1/3, l, 2/9, 3? -1/3 Let m be (1/(2/1))/2. Let f = -0.33 - -0.22. Let s = -0.09 + f. Which is the smallest value? (a) s (b) 1/3 (c) m a Let h = -1.27 - -0.87. What is the third smallest value in h, 1/5, 1? 1 Let o = 5.8 + -6. Which is the second biggest value? (a) 0.1 (b) 1 (c) o (d) -2/21 a Let l = -3/10 + -1/2. What is the third biggest value in -0.3, l, -2/7? l Let r = -7 + 9. What is the third smallest value in -2, -3, r? r Let f = 1.02 + -0.52. What is the second biggest value in f, 5, 0.3? f Let n = -0.1 + 14.1. Let d = n + -10. What is the smallest value in -4/3, d, 2? -4/3 Let d = -7.4 + 0.4. Let s = 6.8 + d. Which is the smallest value? (a) -2/15 (b) 0.2 (c) s c Let i(h) = -6 + 2*h + 1 + 0*h. Let v be i(5). Let k = -1 - -4. What is the second smallest value in -4, v, k? k Let o = -10 + 3. Let x = o + 9. Let r = 2 + x. Which is the smallest value? (a) r (b) 5 (c) 0 c Let p = 0.88 - 1.08. Let g = 81/5 + -16. Which is the smallest value? (a) p (b) 0.1 (c) g a Let q be ((-2)/12)/(6/24). Which is the second smallest value? (a) 0.2 (b) -3/2 (c) q c Let o = 0.2 - -0.3. Let t = -260 - -259. Which is the third smallest value? (a) t (b) o (c) 4 c Let r = 0.9 + -5.9. Let g = r - -3. Let i = 0.05 - 3.05. What is the third biggest value in i, 0.4, g? i Let x = -5.196 - -0.196. What is the second biggest value in 0.5, x, 4/3? 0.5 Let n be (-424)/(-430) - (2 - 1). Let s = 457/1935 + n. What is the second smallest value in 0, s, 0.4? s Let i be 209/9 - (-6)/(-27). Suppose 2*m - 10 = 0, 6*m - 3*m - i = -4*v. Which is the third smallest value? (a) v (b) -0.2 (c) 2/15 a Let h = -1.12 - -0.12. Let x = -3 - -7. Let f = x + h. Which is the third smallest value? (a) 1/3 (b) -5 (c) f c Let y be 0 + (1 - (-2)/1). Let o = -3 + 5. What is the second biggest value in o, 0, y? o Let q = 4 - -3. Let f = 0.7 - 3.7. Let d = q + f. What is the smallest value in -3/2, d, -4? -4 Suppose 3*m + 2*i + 0 = -3, 5*i = 2*m + 21. Which is the biggest value? (a) 2 (b) 1/4 (c) m a Let j = -4/7 + 9/28. Let f = 3/274 - 1117/1918. What is the third smallest value in -3/5, f, j? j Let g = -5.93 - -6. Let z =
{ "pile_set_name": "DM Mathematics" }
allest value? (a) -2 (b) -0.2 (c) -1182 c Which is the second smallest value? (a) -31 (b) -17 (c) 1 (d) -3 b What is the smallest value in -18, 69, 3/4? -18 What is the second smallest value in 2, 5, 8/15? 2 Which is the third biggest value? (a) -23 (b) 5 (c) 1/8 a Which is the fourth smallest value? (a) -2 (b) 0.3 (c) -0.3 (d) 1/2 d Which is the third smallest value? (a) -7 (b) 3 (c) 2/5 (d) -8 c What is the second smallest value in -5, -2.4, -50, 5? -5 Which is the smallest value? (a) -42/5 (b) 0 (c) 0.3 (d) -2 a What is the second biggest value in -3, -2/5, 34? -2/5 Which is the second biggest value? (a) -6 (b) 5 (c) -1.1 (d) 4 d What is the third smallest value in 2, -3/4, -0.02, -46, -4/3? -3/4 What is the fourth smallest value in -0.5, 0, -2/55, -4, -13? -2/55 What is the biggest value in 0.4, -4, -1/30? 0.4 What is the fourth biggest value in 3/7, 1, 0.05, 0.2? 0.05 What is the biggest value in 18, -0.4, 0.57, 4, 2/9? 18 Which is the second biggest value? (a) -3/7 (b) 0.02 (c) -5 (d) 0 d Which is the fourth biggest value? (a) -2/7 (b) -0.5 (c) -2/23 (d) 0.25 b What is the smallest value in -399, 1/7, -1/5? -399 What is the third smallest value in 1, -2/3, 7, -1? 1 What is the biggest value in -5, 0.2, 4, 2? 4 Which is the third smallest value? (a) -5 (b) 0.1 (c) -759 (d) 2 (e) 0.3 b Which is the third biggest value? (a) -3 (b) -5/22 (c) 5 (d) -2 d Which is the smallest value? (a) -3.2 (b) -2/3 (c) 0 (d) 0.1 (e) 1/7 a What is the smallest value in -0.02, 1/2, -1, 5, 7? -1 Which is the third smallest value? (a) -0.9 (b) -9 (c) -0.4 (d) -2 a What is the third smallest value in 0.1, -1/3, 61, 0.3, -3? 0.1 What is the biggest value in 9, -0.3, 0.4, -2/9? 9 Which is the fourth biggest value? (a) 0 (b) 1.1 (c) -1 (d) -0.5 c Which is the second smallest value? (a) -2/7 (b) 334 (c) -5 a What is the smallest value in -2, -2/13, 10487, 0.1? -2 Which is the biggest value? (a) -1/20 (b) 1/5 (c) 3/2 c Which is the third biggest value? (a) 3/4 (b) -14 (c) 2 (d) -5 d What is the third smallest value in -22, 2/9, 0? 2/9 What is the fourth biggest value in 4/29, -3/4, -1/8, 0, 1? -1/8 Which is the smallest value? (a) 1/2 (b) 2272 (c) 4 a Which is the biggest value? (a) -1/4 (b) -1 (c) -0.2 (d) 0 (e) 57 e What is the second smallest value in 1.4, 0.3, -4? 0.3 What is the second smallest value in 0.4, -2/5, 25, -1/4? -1/4 Which is the fourth biggest value? (a) 0.2 (b) 0 (c) -3/103 (d) -6 (e) -2 e Which is the second smallest value? (a) 0.4 (b) 279 (c) 4 c Which is the second biggest value? (a) -77 (b) 0.1 (c) 4 (d) 3/2 d Which is the biggest value? (a) 2/9 (b) -0.13 (c) -5 (d) -2 (e) 5 e Which is the second biggest value? (a) 3/4 (b) -2 (c) 1/5 (d) 1/178 c Which is the smallest value? (a) 3/2 (b) -3 (c) -1 (d) -2 b Which is the fourth smallest value? (a) 2 (b) 4 (c) -1.3 (d) 0.4 b Which is the fourth biggest value? (a) -37 (b) -0.4 (c) 2 (d) -0.1 (e) -5 e Which is the second biggest value? (a) -4/5 (b) -2 (c) -0.005 (d) 1 c Which is the third smallest value? (a) 0.5 (b) 1.5 (c) 2/3 b Which is the third smallest value? (a) 7 (b) -1/2 (c) 2/7 (d) -8 c What is the second smallest value in -1/7, -128, -3, 4/5? -3 Which is the second smallest value? (a) 419 (b) 3 (c) -3 b Which is the third biggest value? (a) 3 (b) -0.2 (c) 7.01 b What is the third biggest value in 7, 0.3, 0.16? 0.16 Which is the third biggest value? (a) 4/5 (b) 2 (c) 1/4 (d) -1/6 c What is the biggest value in 47, -0.5, 0.5, 3? 47 What is the second biggest value in 5, 6, -15, -0.3, -1? 5 Which is the fourth biggest value? (a) -10 (b) -0.02 (c) -7 (d) 3 a Which is the second smallest value? (a) -6 (b) 0.3 (c) 3/4 b What is the smallest value in 2/5, -0.5, 4, 3/2? -0.5 Which is the fourth smallest value? (a) -14 (b) -0.2 (c) 5 (d) 1/4 c Which is the smallest value? (a) 12 (b) 0.3 (c) 8 b What is the third smallest value in 45, 3/4, -0.3, 1? 1 What is the third smallest value in -3.6, -2/3, -3/5, 5, -5? -2/3 Which is the third smallest value? (a) -1/2 (b) -4 (c) 37 c Which is the fourth biggest value? (a) 65 (b) 1 (c) 0 (d) -1 d Which is the third smallest value? (a) 3 (b) -0.3 (c) 109 c Which is the second biggest value? (a) -1.9 (b) -0.4 (c) -3/8 (d) 1 (e) 2 d What is the fifth smallest value in -343, 0, -0.3, -0.5, -2/15? 0 Which is the biggest value? (a) 22 (b) 0.3 (c) 20 a Which is the fourth biggest value? (a) 0.2 (b) -1 (c) 372 (d) 3 b Which is the second biggest value? (a) -5/3 (b) 8 (c) 5 (d) -5 c What is the biggest value in 24, -7, 3? 24 Which is the fourth biggest value? (a) -3 (b) 33 (c) 0 (d) 0.5 a What is the fifth biggest value in 36, 0.4, -0.1, -0.2, -1/2? -1/2 Which is the biggest value? (a) 0.1 (b) 0 (c) 4/3 (d) 2/9 (e) -6 c What is the biggest value in 2/203, -1, 2/11? 2/11 What is the third smallest value in 2/9, 0, 37.7? 37.7 What is the third biggest value in -2, -2/5, 1/10, 5, 12/5? 1/10 Which is the smallest value? (a) 0.1 (b) -0.01 (c) -0.3 (d) -1 d What is the third smallest value in 5, 3/7, -16, 2? 2 Which is the biggest value? (a) 4 (b) -7/3 (c) 2/5 a Which is the third biggest value? (a) -2 (b) 87 (c) -3 (d) -0.4 a What is the fifth biggest value in -457, -2/23, -5, -3, 2/7? -457 What is the third biggest value in -1/4, 12/5, 0.4? -1/4 What is the smallest value in -1/4, -0.72, 5/2? -0.72 Which is the second biggest value? (a) 0.036 (b) -2/3 (c) 2/31 a Which is the third biggest value? (a) -2 (b) -5 (c) 8 (d) -0.4 (e) 9.2 d Which is the biggest value? (a) 18 (b) 42 (c) -3 b Which is the second biggest value? (a) 0.01 (b) 4 (c) 0 (d) 0.6 (e) 0.3 d What is the biggest value in -1, 12, -10/9? 12 Which is the second biggest value? (a) 22/3 (b) -11/4 (c) -2/7 c Which is the third biggest value? (a) -2/5 (b) -3 (c) -0.44 b What is the third smallest value in -1/9, 1/3, 2, -3/10, 2/7? 2/7 Which is the biggest value? (a) 1 (b) 2 (c) -3 (d) -1 (e) -1.2 b Which is the fifth biggest value? (a) -1.35 (b) -0.4 (c) 1 (d) -1 (e) -5 e Which is the second smallest value? (a) 1 (b) 0 (c) -0.2 b Which is the second biggest value? (a) 123 (b) -1/4 (c) -5 (d) 4 (e) -0.1 d What is the third smallest value in -3, -29, -2/5, -2/11? -2/5 What is the second smallest value in 4.7, 2, 1/5? 2 Which is the fifth biggest value? (a) -26 (b) 5 (c) 4 (d) 0.017 (e) -3 a What is the smallest value in -3/4, 0.3, 0, -0.2? -3/4 Which is the second smallest value? (a) 0.3 (b) -2 (c) 373 a Which is the third biggest value? (a) -1/8 (b) -0.02 (c) -0.1 a What is the smallest value in 0.4, 15, -6, -2/11? -6 Which is the third smallest value? (a) -1/2 (b) 9/7 (c) 0.1 b What is the third smallest value in -32.6, 0.5, -0.4? 0.5 Which is the third smallest value? (a) 1220 (b) -3/2 (c) -1/3 (d) -5 (e) 2/9 c What is the fourth biggest value in -2/5, -0.5, -396, 1/12? -396 What is the biggest value in -9, 2, -45? 2 What is the third smallest value in -2/13, -160, 7? 7 What is the third biggest value in 1/70, -4, -3? -4 Which is the fourth smallest value? (a) -4 (b) -2/17 (c) 1/2 (d) 3 d Which is the second smallest value? (a) -2/21 (b) 0.1 (c) 2 (d) -3 a What is the biggest value in 3.34, -2, -0.2? 3.34 What is the second biggest value in -3/2, -8, 3, -4, 4/7? 4/7 Which is the fifth biggest value? (a) 2 (b) 0 (c) -0.5 (d) 22 (e) 2/9 c What is the second smallest value in -0.2, -37, -2/3, -0.4? -2/3 Which is the biggest value? (a) -2 (b) -4 (c) 1 (d) -1/6 c Which is the biggest value? (a) -2 (b) 0.4 (c) 0 (d) 2 (e) 5 e Which is the third smallest value? (a) 0 (b) -17 (c) 4 c Which is the third biggest value? (a) 153 (b) 0.3 (c) 2/15 (d) 5 b Which is the fourth smallest value? (a) 5 (b) 4/203 (c) 2/17 (d) -2/15 a What is the second smallest value in -2, -5, -89? -5 Which is the second biggest value? (a) -14 (b) 20 (c) -5 (d) 12 (e) 0 d Which is the biggest value? (a) 0 (b) -108/11 (c) -4 a Which is the third smallest value? (a) -2/69 (b) -0.3 (c) 1/11 (d) -2 (e) 14 a What is the smallest value in -1, -4, 4/9? -4 What is the
{ "pile_set_name": "DM Mathematics" }
e factors of 179919623? 13, 13839971 List the prime factors of 4837789. 11, 439799 List the prime factors of 151283374. 2, 11, 17, 23, 43, 409 List the prime factors of 219332493. 3, 41, 594397 List the prime factors of 87991692. 2, 3, 7332641 What are the prime factors of 249432788? 2, 11, 515357 List the prime factors of 101325198. 2, 3, 13, 1299041 List the prime factors of 23349615. 3, 5, 1556641 List the prime factors of 127583330. 2, 5, 7, 61, 29879 List the prime factors of 81812454. 2, 3, 3517, 3877 What are the prime factors of 566285581? 29, 19527089 List the prime factors of 93431864. 2, 17, 47, 311 List the prime factors of 472740882. 2, 3, 43, 1832329 List the prime factors of 50913824. 2, 13, 122389 What are the prime factors of 5082216562? 2, 6563, 387187 What are the prime factors of 18174515? 5, 173, 21011 List the prime factors of 31708814. 2, 15854407 What are the prime factors of 5872893805? 5, 1174578761 List the prime factors of 107173492. 2, 26793373 List the prime factors of 25507281. 3, 2683, 3169 List the prime factors of 457459248. 2, 3, 71, 269, 499 List the prime factors of 4449083684. 2, 263, 4229167 List the prime factors of 391430272. 2, 241, 12689 List the prime factors of 392682239. 31, 193, 65633 What are the prime factors of 55486306? 2, 103, 269351 List the prime factors of 135332539. 1049, 129011 What are the prime factors of 1243165493? 307, 4049399 What are the prime factors of 1195286942? 2, 107, 5585453 What are the prime factors of 4592430343? 29, 37, 4279991 List the prime factors of 86849009. 13, 151, 293 List the prime factors of 5636637401. 41, 137478961 List the prime factors of 2995172349. 3, 13, 6779, 11329 What are the prime factors of 5907784837? 5907784837 What are the prime factors of 771880179? 3, 7, 89, 167, 2473 List the prime factors of 77120082. 2, 3, 13, 67, 4919 What are the prime factors of 250027502? 2, 29, 4310819 List the prime factors of 5214281969. 13, 41, 149, 65657 List the prime factors of 36900938. 2, 18450469 What are the prime factors of 891782138? 2, 13, 19, 1805227 List the prime factors of 549281690. 2, 5, 131, 229, 1831 What are the prime factors of 1644020378? 2, 7, 11, 13, 41, 20029 List the prime factors of 176949220. 2, 5, 7, 181, 6983 List the prime factors of 109007771. 449, 242779 List the prime factors of 5695245138. 2, 3, 11, 41, 2104673 What are the prime factors of 3159889176? 2, 3, 131662049 List the prime factors of 209185106. 2, 13, 8045581 List the prime factors of 31735504. 2, 317, 6257 What are the prime factors of 242551451? 151, 439, 3659 What are the prime factors of 1954711176? 2, 3, 11, 101, 73309 List the prime factors of 28882067. 331, 87257 List the prime factors of 144347098. 2, 7, 31, 349, 953 What are the prime factors of 300553488? 2, 3, 43, 48539 List the prime factors of 802531649. 19469, 41221 List the prime factors of 538893063. 3, 2089, 28663 List the prime factors of 66122277. 3, 13, 157, 10799 List the prime factors of 203034397. 181, 1121737 List the prime factors of 387716376. 2, 3, 59, 101, 2711 What are the prime factors of 9882214? 2, 29, 170383 What are the prime factors of 400771356? 2, 3, 277, 120569 List the prime factors of 46119471. 3, 15373157 What are the prime factors of 286328333? 2423, 118171 What are the prime factors of 374287051? 374287051 List the prime factors of 786848906. 2, 23, 17105411 What are the prime factors of 3968454064? 2, 61, 4066039 List the prime factors of 387340955. 5, 479, 161729 List the prime factors of 53130647. 53130647 List the prime factors of 49478845. 5, 13, 761213 What are the prime factors of 37942711? 37942711 List the prime factors of 315116171. 223, 1413077 What are the prime factors of 419099242? 2, 29, 43, 168043 List the prime factors of 192656487. 3, 23, 2792123 What are the prime factors of 1085950637? 59, 1613, 11411 List the prime factors of 407480928. 2, 3, 71, 191, 313 What are the prime factors of 65281403? 11, 5934673 What are the prime factors of 114247970? 2, 5, 11424797 List the prime factors of 170845291. 17, 83, 121081 What are the prime factors of 994422255? 3, 5, 103, 643639 What are the prime factors of 479038221? 3, 53, 1004273 List the prime factors of 19493491. 41, 43, 11057 List the prime factors of 54025397. 54025397 List the prime factors of 1463680371. 3, 19, 23, 1116461 What are the prime factors of 16258229? 13, 31, 40343 List the prime factors of 2978678. 2, 131, 11369 What are the prime factors of 158360327? 41, 3862447 What are the prime factors of 701079092? 2, 7, 1061, 23599 What are the prime factors of 745221158? 2, 11, 33873689 List the prime factors of 2340186739. 11, 11213, 18973 List the prime factors of 284945449. 17, 41, 408817 List the prime factors of 57869347. 419, 138113 List the prime factors of 100782227. 7, 13, 1107497 What are the prime factors of 427608937? 7, 8726713 List the prime factors of 507782595. 3, 5, 47, 653, 1103 What are the prime factors of 1368059668? 2, 59, 5796863 What are the prime factors of 72756560? 2, 5, 909457 What are the prime factors of 638812506? 2, 3, 106468751 What are the prime factors of 350428441? 11, 31857131 What are the prime factors of 1111171658? 2, 555585829 What are the prime factors of 141694644? 2, 3, 7, 13, 129757 What are the prime factors of 758655574? 2, 379327787 What are the prime factors of 647798096? 2, 11, 43, 85597 List the prime factors of 2136209938. 2, 19, 31, 1813421 What are the prime factors of 8446141? 11, 767831 What are the prime factors of 5213300893? 659, 7910927 What are the prime factors of 218503405? 5, 43700681 What are the prime factors of 69772045? 5, 7, 137, 14551 List the prime factors of 285794265. 3, 5, 19052951 What are the prime factors of 24671745? 3, 5, 7, 67, 167 What are the prime factors of 152334144? 2, 3, 17, 47, 331 What are the prime factors of 11693498? 2, 137, 42677 List the prime factors of 5237110059. 3, 1745703353 What are the prime factors of 47490527? 7, 6784361 What are the prime factors of 79849321? 3631, 21991 What are the prime factors of 9521883? 3, 7, 151141 List the prime factors of 1736413096. 2, 11, 419, 47093 List the prime factors of 204304929. 3, 17, 19, 23, 89, 103 List the prime factors of 80163318. 2, 3, 19, 563, 1249 What are the prime factors of 659882010? 2, 3, 5, 199, 110533 What are the prime factors of 207717309? 3, 251, 91951 What are the prime factors of 5350614424? 2, 73, 125507 List the prime factors of 51815632. 2, 11, 31, 9497 What are the prime factors of 19971705? 3, 5, 13, 23, 61, 73 What are the prime factors of 373455123? 3, 124485041 What are the prime factors of 86524599? 3, 7, 4120219 What are the prime factors of 1182008019? 3, 23, 17130551 List the prime factors of 159071940. 2, 3, 5, 883733 What are the prime factors of 2097290726? 2, 71, 509, 29017 What are the prime factors of 41986916? 2, 839, 12511 List the prime factors of 175057199. 5237, 33427 List the prime factors of 202979094. 2, 3, 23, 101, 14563 What are the prime factors of 629671845? 3, 5, 11, 31, 257, 479 What are the prime factors of 475070748? 2, 3, 39589229 What are the prime factors of 451437730? 2, 5, 45143773 What are the prime factors of 57975234? 2, 3, 29, 67, 4973 What are the prime factors of 75165753? 3, 13, 1927327 List the prime factors of 343998471. 3, 2897, 39581 What are the prime factors of 1037322033? 3, 11, 113, 278177 List the prime factors of 6679685307. 3, 2226561769 List the prime factors of 2273503801. 409, 5558689 What are the prime factors of 2748749137? 29, 31, 509, 6007 List the prime factors of 95445734. 2, 47722867 What are the prime factors of 52224847? 577, 90511 List the prime factors of 5693818327. 29, 1297, 151379 List the prime factors of 2162258963. 59, 257, 142601 List the prime factors of 2442484072. 2, 7, 4021, 10847 List the prime factors of 2736928453. 7, 16987, 23017 What are the prime factors of 6353416265? 5, 7, 61, 2975839 What are the prime factors of 1069950770? 2, 5, 7, 47, 6637 List the prime factors of 299740809. 3, 2767, 36109 List the prime factors of 6962710927. 17, 16843, 24317 List the prime factors of 1088385991. 7, 11, 288467 List the prime factors of 27569419. 769, 35851 List the p
{ "pile_set_name": "DM Mathematics" }
y + 10. Let o be q(7). Let u = o - 52. Calculate the highest common factor of 7 and u. 7 Suppose 4 - 6 = -2*v. Let l be (v - 8)/((-3)/9). Calculate the highest common factor of l and 7. 7 Let z be (-2 - -1)/(-1*2/10). What is the highest common divisor of 5 and z? 5 Suppose -3*n + 4*d = -0*n - 20, 4*n = 4*d + 32. Let u be (6/12)/(1/n). What is the greatest common divisor of 12 and u? 6 Let b = -21 + 31. Calculate the highest common factor of 50 and b. 10 Let h(z) = 4 + 6*z - 4 - 15*z. Let l(p) = p**2 + 4*p + 2. Let f be l(-3). Let j be h(f). Calculate the greatest common factor of 99 and j. 9 Suppose 6*z - z + 45 = 0. Let o = 21 + z. What is the greatest common divisor of 30 and o? 6 Let x = -3 + 7. Suppose -x*j - 110 = -2*c + j, -2*c + 106 = -3*j. Let a(w) = w**2 - w - 2. Let h be a(4). Calculate the greatest common factor of h and c. 10 Suppose 0 = 5*a + 4*f + 18, 3*f + 12 + 0 = -3*a. Let u be a/(26/14 + -2). Suppose 5*g - 63 = 2*g. What is the highest common factor of u and g? 7 Suppose -3*k = -92 + 2. Suppose 3*b = -o + k, -5*o - 2*b + 118 = -2*o. Calculate the highest common factor of 28 and o. 14 Suppose -4*u - 3*p = -8, -4*p = -2*u + 25 + 1. Suppose -u = -4*r + 107. Calculate the greatest common divisor of 4 and r. 4 Let n be (-2)/(-7) + 388/14. Calculate the highest common divisor of 4 and n. 4 Let b = 6 - 1. Suppose 4 + 0 = -4*s, 2*a = -b*s + 145. Calculate the highest common divisor of a and 15. 15 Let t = -3 - -6. Let s be (48/(-10))/t*-5. Let g be 22/(-5)*(-2 + -18). Calculate the highest common factor of g and s. 8 Suppose -4*o + 55 + 13 = -4*f, -f - 62 = -4*o. Let j = 8 - 5. Suppose -79 + o = -4*c + 3*l, j*c - 2*l = 47. What is the greatest common divisor of 104 and c? 13 Let m = 19 + -3. Let s = -8 + m. Suppose -x = 5*k - 47, 2*x + x = 4*k + 236. What is the greatest common divisor of x and s? 8 Suppose 0 = -2*l - 5 + 49. Suppose b = y + 16, y = 3*b + b - l. Let p = 30 + y. Calculate the highest common divisor of 8 and p. 8 Let y = -25 + 17. Let c(r) = -18*r - 1. Let m be c(y). What is the greatest common factor of 13 and m? 13 Suppose 7*n = 10*n - 9. Calculate the highest common factor of n and 39. 3 Suppose -4*y + h + 430 = 0, 3*y - 318 = 2*h + h. Suppose -3*m - 225 = -2*w, 0 = -w + m + 2 + y. Let r = 25 + -10. What is the greatest common factor of r and w? 15 Let l = -64 - -106. What is the greatest common divisor of l and 105? 21 Let q = 5 - 5. Suppose q = -4*a - 0*a. Suppose 0 = -i - 2*y - a*y + 11, -5*i - 2*y = -31. Calculate the highest common factor of 2 and i. 1 Let o be 44/8 + (-1)/2. Suppose -5*p - 30 = 5*t, t - 31 + 7 = o*p. Let h = 2 - p. What is the highest common factor of 14 and h? 7 Let j(o) = o + 13. Let y be j(-8). Suppose 2*c - 13 = y. Suppose 2*x + 23 = 113. What is the highest common factor of x and c? 9 Suppose 0 = 5*y + 4*g + g - 1365, y + 4*g = 267. What is the greatest common divisor of 25 and y? 25 Suppose i = -2 + 14. What is the highest common divisor of i and 18? 6 Suppose 0 = 3*l - l - 394. Let n = l - 85. Let z be 4/(3/(11 - -1)). What is the highest common factor of z and n? 16 Suppose -l = 2*l - 15. Suppose -2*c + 143 = -257. Suppose 2*k - c = -3*k. Calculate the highest common divisor of l and k. 5 Let a(l) = l**3 - 7*l**2 - l + 9. Let f be a(7). Suppose 18 + 6 = 3*v. Calculate the highest common factor of f and v. 2 Suppose -206 = 5*u - 701. Let b = 3 + -3. Suppose -3*z + 5 = -2*d - 32, b = -5*z + 4*d + 63. Calculate the highest common factor of z and u. 11 Suppose 0 = -2*q - 2*a + 80, a + a + 55 = q. Let y(z) = 2*z**3 + 15*z**2 + 6*z + 8. Let p be y(-7). Calculate the highest common factor of p and q. 15 Let b(j) = -j**2 - 15*j - 28. Let i be b(-12). Let f be (-3)/(-1)*(-2)/(-3). Calculate the greatest common factor of i and f. 2 Let p = 166 - 159. Let y be (-42)/4*(-4)/3. What is the greatest common divisor of y and p? 7 Suppose 5*i = -2 + 32. Let q(n) = n**3 - 3*n**2 - 7*n - 6. Let c be q(i). Let f = 85 - c. Calculate the greatest common factor of f and 5. 5 Let i be 4 + -2 + 183 + 4. Let l = i - 77. What is the highest common factor of 14 and l? 14 Suppose 0*f - f + 3*w = 70, -2*f - 138 = -4*w. Let k be (-3)/((-9)/(-6)) + 111. Let m = f + k. What is the greatest common factor of m and 14? 14 Let f(o) = 4*o - 1 + 0*o**2 + 3*o**2 - o**2. Let v be f(-4). Calculate the greatest common divisor of v and 15. 15 Let r(j) = -11*j**2 - 8*j + 4*j**2 + 9*j**2. Let k be r(11). Calculate the highest common divisor of k and 14. 14 Let d(t) = -t**2 + 25. Let q be d(0). Let p be 5 + 0/(2 - -1)*1. Calculate the highest common factor of p and q. 5 Suppose 4*w - 72 - 468 = 0. Let i(f) = 4*f + 7. Let l be i(6). Let n = l - 16. What is the highest common factor of n and w? 15 Let o = -8 + 14. Suppose -5 = -g + 3*m, -g - 25 = -o*g + 4*m. Suppose y = 2*b - 2 + 8, -18 = -3*y + g*b. Calculate the greatest common divisor of y and 66. 6 Let h = -24 - -26. Let t(d) = -d - 5. Let g be t(-5). Suppose g*k - k + h = 0. Calculate the highest common factor of 16 and k. 2 Let j(z) = -z**2 + 14*z - 11. Let m be j(13). Suppose -i = -m*s - 0*s + 3, 4*s - 9 = -i. Calculate the greatest common divisor of 2 and s. 2 Let p be (-40)/(5 + -4 + -3). Calculate the greatest common divisor of 50 and p. 10 Let c(h) = -h**2 - 10*h + 2. Let f be c(-10). Suppose j - g = 1 - 2, f*g = 3*j. Calculate the greatest common divisor of j and 1. 1 Suppose -52*i + 47*i + 280 = 0. What is the highest common factor of 8 and i? 8 Let y = -152 + 287. Calculate the highest common factor of y and 30. 15 Suppose 26*o = 28*o - 72. Let r be 2/(-6) - (-34)/(-6). Let b be (27/r)/(2/(-4)). What is the highest common divisor of o and b? 9 Suppose 5*z + u - 4 - 6 = 0, 3*u = 15. Calculate the highest common divisor of z and 4. 1 Let c(m) = m**3 - 4*m**2 - 14*m + 6. Let f be c(8). What is the highest common divisor of 100 and f? 50 Suppose -4*k + 17 = -3*a - 29, -k = 3*a - 19. What is the greatest common factor of k and 52? 13 Let j(u) = -u**2 + 8*u - 3. Let i be j(6). Suppose -320 = 3*x - 4*x. Suppose -57 = -b - 5*c, 4*b + c + 35 = x. Calculate the highest common divisor of b and i. 9 Let h be ((-1)/(-2))/(-6 + 294/48). Calculate the highest common factor of 52 and h. 4 Let l = -24 + 42. What is the greatest common factor of l and 54? 18 Suppose 0 = 2*k - 7*d + 3*d - 30, 25 = 4*k - d. Calculate the greatest common divisor of k and 1. 1 Suppose 0 = 4*d + 5*x + 21, 2*x = -d + 3*x + 6. Suppose 4 = r - 3*n, -5*n + 7 = -r + 13. Calculate the highest common divisor of r and d. 1 Suppose -16 = -4*y + 16. What is the greatest common divisor of y and 64? 8 Let w(a) = a + 3. Let v = -8 + 2. Let j be w(v). Let s = 27 + j. What is the highest common divisor of 12 and s? 12 Suppose x + 3*h - 5 = -0, 0 = 3*x + 4*h - 20. What is the highest common divisor of x and 36? 4 Suppose 3*g + 2*g = 160. What is the greatest common divisor of g and 4? 4 Let x(i) = -i + 1. Let n be x(-4). Suppose 4*g - 57 = -t, -4*g = -4*t + 2*t - 66. What is the greatest common divisor of n and g? 5 Let n = -39 + 41. Calculate the greatest common factor of n and 10. 2 Suppose d = 3*s + 16, -4*d + 78 - 14 = -5*s. Calculate the greatest common divisor of 2 and d. 2 Let g(q) = q**2 - 10*q - 14. Let n be (-1)/2 + (-150)/(-12). Let x be g(n). Calculate the highest common factor of x and 25. 5 Let b be 2 + (-1 - 284/(-4)). Calculate the highest common divisor of 8 and b. 8 Suppose -24 = -4*n + 4*y, -5*y - 14 = n + 10. What is the highest common divisor of n and 2? 1 Suppose 3 = 2*q - 85. Suppose 0 = 2*p - 40 - q. What is the greatest common factor of p and 28? 14 Suppose 5*r - 4*m = 4, -5*r + 0*m = 2*m - 28. Let n = 9 + -6. Suppose 5*u = 5*l + 45, -2*u - 4*l - 9 = n. What is the greatest common divisor of r and u? 4 Let x(g) = 4*g + 2*g - 3*g**2 - 7 + 0*g**2 - g**3. Let c be x(-5). What is the highest common divisor of c and 13? 13 Let t(y) = -4*y**3 - y**2 + 3*y + 3. Let u be t(-2). Let f = -5 + u. Let m be ((-12)/10)/(6/(-20)). What is the greatest common divisor of f and m? 4 Suppose -3 = a + 1, 0 = t + 5*a - 16. Let v = 8 - 4. Let r be (6/v)/(3/18). What is the greatest common factor of t and r? 9 Let n(z) = -z**2 + 7*z - 6. Let r be n(5). Let l be 1*2/r*14. Let g = -102 + 158. Calculate the greatest co
{ "pile_set_name": "DM Mathematics" }
22, 15812194? 2635372*c - 38 What is the q'th term of 244, 2246, 7764, 18556, 36380, 62994? 293*q**3 - 49*q What is the w'th term of -2306, -6489, -13462, -23225, -35778, -51121, -69254? -1395*w**2 + 2*w - 913 What is the o'th term of -907454, -906808, -905738, -904250, -902350, -900044? -o**3 + 218*o**2 - o - 907670 What is the z'th term of 6622, 6641, 6670, 6715, 6782, 6877? z**3 - z**2 + 15*z + 6607 What is the p'th term of -1121, -1739, -2357? -618*p - 503 What is the d'th term of -1317676, -1317685, -1317704, -1317739, -1317796? -d**3 + d**2 - 5*d - 1317671 What is the m'th term of -5355, -5081, -4719, -4269, -3731? 44*m**2 + 142*m - 5541 What is the s'th term of -165, 317, 815, 1329, 1859? 8*s**2 + 458*s - 631 What is the l'th term of 217241, 217400, 217559? 159*l + 217082 What is the a'th term of 188286, 376535, 564788, 753045, 941306? 2*a**2 + 188243*a + 41 What is the u'th term of 3646, 14696, 33134, 58960, 92174, 132776, 180766? 3694*u**2 - 32*u - 16 What is the u'th term of -12965, -13065, -13307, -13763, -14505, -15605? -12*u**3 + u**2 - 19*u - 12935 What is the i'th term of -2443846, -4887714, -7331582? -2443868*i + 22 What is the x'th term of -29260, -29897, -30550, -31225, -31928? -x**3 - 2*x**2 - 624*x - 28633 What is the f'th term of 543336, 542226, 541116, 540006? -1110*f + 544446 What is the j'th term of -419422, -418873, -418324, -417775, -417226? 549*j - 419971 What is the j'th term of 8266722, 8266729, 8266742, 8266761, 8266786, 8266817? 3*j**2 - 2*j + 8266721 What is the o'th term of -29871527, -59743058, -89614589, -119486120, -149357651, -179229182? -29871531*o + 4 What is the d'th term of 9353200, 18706395, 28059590? 9353195*d + 5 What is the r'th term of -94833, -94767, -94701, -94635, -94569? 66*r - 94899 What is the k'th term of -15652, -45552, -75452, -105352, -135252? -29900*k + 14248 What is the r'th term of -54, 67, 296, 669, 1222, 1991? 6*r**3 + 18*r**2 + 25*r - 103 What is the h'th term of -8490, -1248, 6004, 13272, 20562? h**3 - h**2 + 7238*h - 15728 What is the d'th term of 165377, 329595, 493813, 658031, 822249, 986467? 164218*d + 1159 What is the k'th term of 43190, 43245, 43384, 43649, 44082, 44725? 7*k**3 + 6*k + 43177 What is the l'th term of -52497, -108109, -163721, -219333, -274945? -55612*l + 3115 What is the d'th term of -14680, -29348, -44002, -58642, -73268? 7*d**2 - 14689*d + 2 What is the a'th term of 443172, 443129, 443086? -43*a + 443215 What is the c'th term of 844113, 844153, 844193? 40*c + 844073 What is the x'th term of 38589, 154632, 348129, 619080? 38727*x**2 - 138*x What is the g'th term of 4130, 7642, 11166, 14708, 18274, 21870? g**3 + 3505*g + 624 What is the t'th term of -770238, -770273, -770308? -35*t - 770203 What is the k'th term of -623971784, -623971781, -623971778, -623971775? 3*k - 623971787 What is the u'th term of -2001, -11261, -20509, -29739, -38945, -48121, -57261? u**3 - 9267*u + 7265 What is the o'th term of 56443, 112869, 169287, 225697? -4*o**2 + 56438*o + 9 What is the d'th term of 452683, 452549, 452415? -134*d + 452817 What is the w'th term of 2672246, 2672250, 2672254, 2672258, 2672262? 4*w + 2672242 What is the h'th term of 2709, 2655, 2601? -54*h + 2763 What is the o'th term of 833430, 3331206, 7494174, 13322340, 20815710, 29974290, 40798086? o**3 + 832590*o**2 - o + 840 What is the p'th term of 15176, 14827, 14452, 14045, 13600? -p**3 - 7*p**2 - 321*p + 15505 What is the y'th term of -4321, -34065, -114689, -271633, -530337, -916241, -1454785? -4240*y**3 - 64*y - 17 What is the w'th term of 47137, 46865, 46595, 46327? w**2 - 275*w + 47411 What is the j'th term of -8343, -13328, -18295, -23238, -28151? j**3 + 3*j**2 - 5001*j - 3346 What is the l'th term of -240341, -480680, -721021, -961364? -l**2 - 240336*l - 4 What is the x'th term of 527627, 1055275, 1582923? 527648*x - 21 What is the t'th term of 291518, 582928, 874242, 1165466, 1456606, 1747668? t**3 - 54*t**2 + 291565*t + 6 What is the p'th term of -30863, -30573, -30115, -29489, -28695, -27733, -26603? 84*p**2 + 38*p - 30985 What is the z'th term of -27895885, -27895872, -27895835, -27895762, -27895641, -27895460, -27895207? 2*z**3 - z - 27895886 What is the s'th term of -4941, -9893, -14845, -19797, -24749, -29701? -4952*s + 11 What is the g'th term of 10, -874, -3528, -8834, -17674, -30930, -49484? -147*g**3 - 3*g**2 + 154*g + 6 What is the o'th term of -45411946, -45411947, -45411948? -o - 45411945 What is the n'th term of -2733, -3656, -5253, -7524? -337*n**2 + 88*n - 2484 What is the s'th term of 1028123, 1028130, 1028137? 7*s + 1028116 What is the t'th term of 1709, 3267, 4825, 6383, 7941? 1558*t + 151 What is the m'th term of 8034, 15518, 23004, 30492, 37982, 45474, 52968? m**2 + 7481*m + 552 What is the q'th term of 730700, 730706, 730712, 730718, 730724? 6*q + 730694 What is the z'th term of 1178, 4784, 10814, 19286, 30218, 43628, 59534, 77954? 3*z**3 + 1194*z**2 + 3*z - 22 What is the j'th term of -2160, -445, 4584, 14583, 31208, 56115? 276*j**3 + j**2 - 220*j - 2217 What is the y'th term of 16464, 32779, 48946, 64971, 80860, 96619, 112254? y**3 - 80*y**2 + 16548*y - 5 What is the f'th term of -1360, -807, 120, 1427, 3120, 5205? f**3 + 181*f**2 + 3*f - 1545 What is the w'th term of 484907, 969820, 1454733? 484913*w - 6 What is the y'th term of -362688, -362672, -362646, -362604, -362540, -362448, -362322? y**3 - y**2 + 12*y - 362700 What is the w'th term of 21953, 21932, 21905, 21878, 21857? w**3 - 9*w**2 - w + 21962 What is the v'th term of -6974, -9953, -12932? -2979*v - 3995 What is the h'th term of 17922, 71761, 161498, 287133, 448666, 646097, 879426? 17949*h**2 - 8*h - 19 What is the j'th term of -22849, -43646, -64443? -20797*j - 2052 What is the d'th term of 652, 741, 272, -755? -279*d**2 + 926*d + 5 What is the l'th term of -28832535, -28832539, -28832545, -28832553, -28832563, -28832575, -28832589? -l**2 - l - 28832533 What is the o'th term of -1320222, -5280908, -11882052, -21123654, -33005714, -47528232? -1320229*o**2 + o + 6 What is the s'th term of -17698467, -35396931, -53095395, -70793859, -88492323, -106190787? -17698464*s - 3 What is the l'th term of -15341, -16064, -16787, -17510, -18233, -18956? -723*l - 14618 What is the f'th term of -39100, -35660, -26318, -8122, 21880, 66640, 129110, 212242? 492*f**3 - f**2 - f - 39590 What is the r'th term of -4658, -7619, -10582, -13547? -r**2 - 2958*r - 1699 What is the d'th term of -1890, -3825, -5658, -7389, -9018? 51*d**2 - 2088*d + 147 What is the m'th term of -947339, -1894468, -2841597, -3788726, -4735855, -5682984? -947129*m - 210 What is the r'th term of 38494406, 38494410, 38494402, 38494376, 38494326, 38494246, 38494130? -r**3 + 11*r + 38494396 What is the g'th term of 196, 569, 1286, 2521, 4448, 7241, 11074? 29*g**3 - 2*g**2 + 176*g - 7 What is the y'th term of -29412, -37563, -45714, -53865, -62016, -70167? -8151*y - 21261 What is the k'th term of 383590, 383354, 383132, 382930, 382754? k**3 + k**2 - 246*k + 383834 What is the m'th term of 886482, 1772933, 2659370, 3545787, 4432178, 5318537, 6204858? -m**3 - m**2 + 886461*m + 23 What is the w'th term of 76785, 76709, 76625, 76533, 76433, 76325? -4*w**2 - 64*w + 76853 What is the b'th term of -909, -1467, -2037, -2619? -6*b**2 - 540*b - 363 What is the x'th term of 19031, 76202, 171533, 305060, 476819, 686846? 6*x**3 + 19044*x**2 - 3*x - 16 What is the m'th term of 312865, 1251479, 2815839, 5005945, 7821797? 312873*m**2 - 5*m - 3 What is the w'th term of 12682, 24261, 35838, 47413, 58986, 70557, 82126? -w**2 + 11582*w + 1101 What is the a'th term of 14279, 57125, 128519, 228461, 356951, 513989? 14274*a**2 + 24*a - 19 What is the p'th term of 3665, 4788, 5909, 7022, 8121? -p**3 + 5*p**2 + 1115*p + 2546 What is the v'th term of -105351, -211106, -316861, -422616, -528371, -634126? -105755*v + 404 What is the x'th term of -137616, -275213, -412810, -550407, -688004? -137597*x - 19 What is the b'th term of 41, 2392, 9375, 23306, 46501, 81276? 386*b**3 - 351*b + 6 What is the m'th term of 107560, 215161, 322762, 430363? 107601*m - 41 What is the o'th term of 2647, 5633, 10587, 17503, 26375? -o**3 + 990*o**2 + 23*o + 1635 What is the a'th term of 372508, 745721, 1118934? 373
{ "pile_set_name": "DM Mathematics" }
3. Let b = 1 + -1. Solve -2*m + m + a = b for m. 3 Let n = 2 - 7. Let f(l) = -l**3 - 4*l**2 + 6*l + 7. Let g be f(n). Solve -2*h - 8 - g = 0 for h. -5 Let k(p) = p. Let o(z) = 5. Let r(v) = -2*k(v) - o(v). Let x be (2 - 14/5)*5. Let d be r(x). Solve -s - d = 2*s for s. -1 Let r(z) = z**3 + 2*z**2 - 10*z - 5. Let f be r(-4). Let u(w) = w**3 - 3*w**2 + 4*w - 2. Let b be u(2). Solve b*v + f*v = 15 for v. 3 Let q be -2 - 16/(0 + -2). Suppose -2*t = -q - 4. Solve 5 = -t*z - 15 for z. -4 Suppose w + 6 = 3*j - 0*j, 2 = j + 2*w. Suppose -j*f - f = -21. Suppose -h = 5*n - 23, -3*h = -5*h - 3*n + 18. Solve -h = -2*v - f for v. -2 Let u(l) = -l**3 + 3*l. Let b be u(-2). Solve -3*v = -b*v + 5 for v. -5 Let m = 6 + -9. Let l(i) = i**2 + 4*i. Let h be l(m). Let k = 0 - h. Solve 0 = 4*d - k*d - 2 for d. 2 Let i be (1 + (-1 - 2))*-1. Suppose 12 = 6*x - 3*x. Solve 0 = i*v + x + 2 for v. -3 Suppose -4*k - 5 = 7. Let a be 2*k/6*-5. Solve -25 = a*t - 0*t for t. -5 Let s(t) = -t**3 - 3*t**2 + 3*t - 4. Suppose 4*r - 5*p + 31 = 0, 0*r + 6 = -3*r - 2*p. Let l be 18/r + (-7)/(-14). Let x be s(l). Solve -k = -x + 2 for k. -2 Let v be (-3)/9 + 4/(-6). Let n(i) = -3*i - 1. Let l be n(v). Let d = 3 - -2. Solve -l*u - 3 + d = 0 for u. 1 Suppose -2*z - q + 46 = 0, 0*z - 2*q = -2*z + 52. Let g = 34 - z. Suppose g = -5*v + 40. Solve 6*k - v = 4*k for k. 3 Let m(u) = u**2 - 7*u + 9. Let p be m(6). Solve -5*c + 2 = -p for c. 1 Let u(y) = 7*y**3 - 4*y**2 - 3*y - 3. Let v(x) = -6*x**3 + 4*x**2 + 3*x + 3. Let b(w) = -5*u(w) - 6*v(w). Let r be b(5). Solve 3*d = 22 - r for d. 5 Let i be 2/(-4 + (-14)/(-3)). Solve -f - i*f = 0 for f. 0 Suppose 3*v = -21 + 30. Suppose u = v*u - 40. Solve -6*x = -x - u for x. 4 Suppose 2*p - 16 = -2*p, p + 8 = 4*t. Suppose 3*q - 1 = 5*f, -12 = q - 5*q - 4*f. Solve q*o + t = -o for o. -1 Suppose 0 = 5*s - 9*s + 72. Suppose -s + 6 = -3*k. Solve k*f = 3*f - 4 for f. -4 Let w = 28 - 16. Let m be 0/(-2)*6/w. Solve m*h = 2*h - 8 for h. 4 Let i(r) = -r**3 + 2*r**2 + 4*r + 2. Let u be i(-2). Solve 0 = -p + 6*p - u for p. 2 Let q = -5 - -10. Suppose c - 35 = u, -2*u + 5 - 40 = -c. Suppose a - 3*m - c = -2*m, 4*m = 4. Solve -q*h = -a + 16 for h. 4 Let s(w) = w - 7. Let y be s(10). Let i = y + 7. Suppose -1 - 15 = -4*q. Solve z - i = -q*z for z. 2 Let t be ((-56)/42)/((-2)/(-21)). Let u(g) = g. Let s be u(-1). Let d be s*(0 - 1) - t. Solve -d = -3*q - 0 for q. 5 Suppose 4*v - 15 = -v. Solve v*g - g = -6 for g. -3 Let q be ((-20)/(-12))/(5/6). Suppose -3*a - c + 3*c + 16 = 0, -4*a = -c - 13. Solve q*l + a*l - 16 = 0 for l. 4 Let v(a) = 7*a + 1. Let u be v(1). Let h = u + -5. Solve -h*y + 6 + 3 = 0 for y. 3 Let z be (-12)/16 - 19/(-4). Solve -z*s = s - 15 for s. 3 Suppose -3*y + 21 = -24. Let b(f) = -2*f - 5. Let s be b(-7). Solve -4*r - y = -s*r for r. 3 Suppose -d - 4*b = d, -5*d = 5*b. Let k be 4/7 - (-85)/35. Suppose -2*p - p + 2*i = 2, -k*i = -12. Solve d - 8 = -p*r for r. 4 Suppose -3*s + 2*c = 32, -c + 6*c = 2*s + 36. Let d(w) = w + 13. Let v be d(s). Solve -2*x + v = 1 for x. 2 Suppose 3*v = z + 3, 0 = -6*v + 5*v + z + 3. Let y = 3 - v. Solve -n = y*n + 4 for n. -1 Let n(r) = -r**2 + 2*r + 3. Let z be n(4). Let c = -2 - z. Solve -2*j = c*j - 10 for j. 2 Suppose 0 = 11*f - 7*f - 48. Let l(s) = -s + 4. Let t be l(2). Solve f = t*h + 2*h for h. 3 Suppose 3 = 4*s - 4*v + 15, 0 = 5*s + 4*v + 6. Let b be s + (-2 - -6) + 1. Solve -b*y + 0*y = -9 for y. 3 Suppose -28*o - 2 = -29*o. Let x(f) = f**3 + 4*f**2 - 6*f - 5. Let d be x(-5). Solve 8 + d = -o*c for c. -4 Suppose -2*i - 5*m - 10 = 0, -5*i + 0*i - 4*m - 8 = 0. Suppose 25 - 81 = -2*l. Suppose i = -2*t + 6*t + 5*g - l, -5*g + 24 = 2*t. Solve -14 = -t*n - 4 for n. 5 Let f = 4 - 1. Suppose 0 = -s + f - 5. Let h be s - (1 - 3)/1. Solve -l - l = h for l. 0 Let l be 2 - (-2 + 0 + -1). Let g(v) be the first derivative of -v**3/3 - 7*v**2/2 - v - 1. Let t be g(-6). Solve 0*j - t*j - l = 0 for j. -1 Let v(j) be the third derivative of -j**6/120 + j**5/20 + j**4/24 + 2*j**2. Let r be v(2). Solve 4*o - r + 2 = 0 for o. 1 Let j(n) = n**2 + 6*n + 4. Let l be j(-3). Let q(s) = -2*s + 5*s + s**3 + 4*s**2 - 2 - 9*s + 0*s**3. Let m be q(l). Solve 5*g = -m - 2 for g. -1 Suppose 2 + 10 = 3*u. Let v = -2 + u. Let n be 7 + -5 + 1*-1. Solve 3*b - n = v*b for b. 1 Suppose 21*c + 10 = 26*c. Solve c*f + 3*f = -20 for f. -4 Let f = -10 + 14. Let s(p) = p**2 - 4 + f. Let u be s(0). Solve 0 = -4*q - 8 - u for q. -2 Let y(j) = -j + 2. Let k be y(-2). Suppose 0 = 6*h + 2 - 8. Solve -k*p = -5 + h for p. 1 Let y be -4*(-1)/2*2. Suppose t + 1 = -y*m + 3, 0 = 3*m - 5*t + 10. Solve w + m = -1 for w. -1 Let c(x) be the second derivative of x**4/12 + x**3/2 - 6*x. Let o be c(-3). Solve 3*w + 3 = -o*w for w. -1 Let i = 27 + -25. Solve i*m = -2*m + 16 for m. 4 Suppose -2*y + 3*t + 7 = 0, 10 = 5*y + t - 33. Let b = 11 - y. Solve 2*x = 3*x - b for x. 3 Let q = 2 - 0. Suppose -o + 3*o + 5*d - 11 = 0, 4*o + q*d - 14 = 0. Solve -8 = -o*j - j for j. 2 Let x = -17 - -19. Let k = 11 + -7. Solve x*p = k*p + 10 for p. -5 Let u(g) = g + 14. Let k be u(-7). Let y = k - 4. Suppose -3*l - l = h - 22, -2*h + 4*l = 16. Solve 0 = r - y - h for r. 5 Let y(f) = f**2 + 12*f + 24. Let u be y(-10). Solve 3*w - u*w = 0 for w. 0 Suppose q = 4*s + 20, s + 1 = -q + 6. Solve 0 - q = -4*c for c. 2 Suppose -8 = 2*n - 12. Let q = -5 - -5. Solve q*b = b + n for b. -2 Suppose -2*y - 2*y + 12 = 0. Let z be (1/y)/((-2)/(-42)). Solve -4*a + 6 = -z*a for a. -2 Let r(u) = u**2 + 2. Let o be 0/(4/(-1 + -1)). Let y be r(o). Let q be 10/y - (-3 - -3). Solve 0 = t + 3 - q for t. 2 Let v(p) = -19*p - 1. Let d be v(-1). Suppose o = -2*o + d. Suppose -o*i + 12 = -2*i. Solve -2*u + 5 = -i*u for u. -5 Let i(g) = g + 2. Let m be i(5). Suppose -w + 2*w = m. Let f be -10*((-1)/(-2) - 1). Solve f*x - 8 = w for x. 3 Suppose 2*d + 35 = 7*d. Let u be (d - 4) + 4 + -1. Solve -4*x + 2*x = -u for x. 3 Suppose -8*z + 4*z + 8 = 0. Suppose n - z = 2. Solve -5 = n*b - 25 for b. 5 Let x be 8 - (1 + -2 - -2). Suppose 4*t = -12, 3*t - x - 4 = -5*k. Let z = k + -2. Solve 0*m - 10 = -z*m for m. 5 Suppose -10 = -5*n - 0. Solve -n = -0*s + s for s. -2 Let a(u) = -u**3 + 12*u**2 - 5*u + 13. Let c be a(11). Let f be 9/36 + c/4. Solve 3*l = -l - f for l. -5 Suppose 12 = -k + 5*k. Solve 13 - k = -5*y for y. -2 Let x(n) be the first derivative of -4*n + 1/2*n**2 - 1/4*n**4 - 2 - 2/3*n**3. Let r be x(-3). Solve -2*s - 4 = -r for s. -1 Let o = -2 - -3. Solve 4*f - o = 3 for f. 1 Let u = 16 + -24. Let j = -2 - u. Solve j*x = x for x. 0 Suppose -3*s + 3*c + 6 = 0, s - 2*c = 2*c + 2. Solve -s*x - 3*x = 0 for x. 0 Let z = 3 + -1. Solve -o = z*o + 6 for o. -2 Let g(m) = -2*m**2 - 13*m - 14. Let q be g(-4). Solve -6 = -q*o + 3*o for o. 2 Let o be (-6)/((-9)/(-3)) + -10 + 12. Let d be (5/(-4))/(1/(-4)). Solve o = -d*z + 3 - 13 for z. -2 Let s(z) be the second derivative of -z**3/6 + 9*z**2/2 - 2*z. Let b be s(9). Solve b = 5*h + 8 + 17 for h. -5 Suppose 5*d - 16 = 3*o, 3*d - d = -5*o + 25. Solve d*m - m = -20 for m. -5 Let x = 16 - 9. Let i = x - 4. Solve -5*v + i = 8 for v. -1 Let r(t) = -2 + t - 3*t - 3. Let x be r(-8). Suppose 3 = -2*o + 5*o. Solve -o - x = -3*l for l. 4 Let b be (-2)/(-3) - 40/(-12). Solve 3*x - 7*x = -b for x. 1 Suppose -5*x + 3 = -7. Solve -g - 12 = x*g for g. -4 Let m(u) = -4*u - 14. Let a(v) = -4*v - 14. Let r(g) = -6*a(g) + 7*m(g). Let b be r(-5). Solve -b*h + 7*h = -3 for h. -3 Suppose -2*i = -27 - 41. Solve -5*o - i + 9 = 0 for o. -5 Let u(i) be the second derivative of 24*i**3 - 21*i**2 + i. Let p(g) = -17*g + 5. Let c(t) = 42*p(t) + 5*u(t). Let o be c(1). Solve -o = -2*q - q for q. 2 Let u = 6 - -14. Solve -5*b - u = -0*b for b. -4 Let a = 9 + -8. Suppose -3*b + 7 = a. Solve b*u = -u for u. 0 Let i(a) = 2*a**2 - 4*a + 3. Let y be i(2). Solve y = 3*u - 2*u for u. 3 Let d = 12 + -17. Let q = d + 8. Solve 0 = q*y + y for y. 0 Suppose -3*l = -l + 78. Let i be 2/1*l/6. Let h = i - -19. Solve 3*g - h = g for g. 3 Suppose -2*m + 20 = 4. Suppose 9*j = m*j + 4. Let p = 43 + -18. Solve j*f - p = -f for f. 5 Let y be (56/32)/(2/24). Suppose -p + 0 - 7 = 2*s, -3*s = 5*p + y. Let j be (-2)/(-6) - 35/p. Solve -f + j = -4*f for f. -4 Suppose -7*h - 6 = -27. Solve k = 2*k - h for k. 3 Suppose 0 = k - 4 - 0. S
{ "pile_set_name": "DM Mathematics" }
Suppose -j - 44 = -4*h, 0 = -2*h + 3*j + 14 - 2. Is h >= 2? True Let o = 74 + -56. Let c = o - 18. Which is smaller: 1.9 or c? c Let y be ((-2)/(-6))/(119/102). Which is smaller: y or -0.6? -0.6 Let m = 1352.25 + -1352. Let j = -0.16 + 0.86. Let b = j + 0.3. Is m at least as big as b? False Let b = 176 - 160. Are b and 2 unequal? True Let r = 15/236 + -26973/413236. Is 0 greater than r? True Let y(q) = -q**2 + 15*q - 13. Let v be y(13). Is v greater than 112/9? True Suppose -3*r = -0*r - 36. Let z = r - 14. Is 2 smaller than z? False Suppose 19*b - 15230 = 8881. Which is greater: 1/3 or b? b Let n be ((-401)/16*1)/((-1)/1). Let w = n + -25. Which is smaller: 0 or w? 0 Let l(u) = -u**3 + 2*u**2 + 1. Let g be l(2). Let f(m) = -3*m - 2. Let x be f(-3). Suppose 5*w = x*w - 6. Which is smaller: g or w? g Let i be 28/(-344)*(-33)/77. Which is smaller: 1/3 or i? i Let u = 115979/4 - 28995. Let l be (5*5)/(1/(-2)). Which is smaller: l or u? l Let z = 2/29 + -91/58. Let o = 339.2 - 339. Is z greater than o? False Let c = -98 + 100. Let o be ((-198)/210 + 1/1)*5. Is c at least o? True Suppose -c - c - 5*y - 71 = 0, -c + 4*y - 16 = 0. Let h = 34 + c. Suppose 0 = -4*q - 2*q - h. Is -0.04 less than q? False Let b = -59 - -53.6. Let r = b - -2.2. Which is greater: r or 1? 1 Let q(u) = -4*u - 22. Let k be q(-12). Suppose 29*r = k*r. Which is smaller: r or 2/9? r Suppose -3*x = -5*f - 142, 5*f - 5*x = -216 + 76. Let q = 28 + f. Which is bigger: 2/41 or q? 2/41 Suppose 7*g = 6*g + 2. Suppose 0 = 4*f - 3*v + 6, 1 = -4*f + g*v - 3. Let t(i) = -2*i**2 - 2*i. Let p be t(-3). Which is greater: p or f? f Suppose 0 = -0*j + j - r - 3294, 9876 = 3*j - 5*r. Let b = 13327/4 - j. Let w = b + -35. Which is bigger: -1/3 or w? w Let x(g) = g**2 - 468*g - 9758. Let h be x(-20). Suppose 2*t - 2 = 3*t. Let k be (t/(-6))/((-2)/(-8)). Is h equal to k? False Let m be 11795/105 + (-4)/6. Let p = -2653/24 + m. Is p greater than 0? True Let s = 17 - 9. Suppose s*l - 60 = 4*l. Suppose y - 36 = -4*y + 2*r, 0 = y - 3*r - l. Are 6 and y equal? True Let f(d) be the first derivative of d**2 + 8*d - 15. Let z be f(-4). Which is greater: z or 7/2? 7/2 Let l(m) be the second derivative of -m**3 + 43*m**2/2 + 12*m. Let p be l(7). Does p = -1/24? False Suppose 109 = -3*c + 109. Let g be (-2)/8 + c + 870/(-72). Which is smaller: -13 or g? -13 Let v be (-22)/(-4) + (-3)/(-6). Let k = -3 + v. Suppose 0 = -2*c + 1 - k. Which is smaller: c or -6? -6 Let v be ((-650)/(-90) - 9) + 4/(-18). Which is smaller: v or -72/37? v Let k(d) = -3*d + 81. Let l be k(11). Is l equal to 50? False Let d = -168 - -148. Let k = 19.6 + d. Let y = -4 + 6. Which is bigger: y or k? y Let k(j) = -2*j - 23. Let h be k(-12). Let p be 42/14 + (h - 0). Is p greater than or equal to 5? False Suppose 7*r = 4*r + 270. Suppose -14*m = -16*m + r. Which is smaller: m or 46? m Let c = -216 + 344. Which is smaller: c or 131? c Let v = 18181/46 + -396. Let p = 47/46 + v. Which is greater: p or 0? p Suppose z + 0*z - 11 = -2*o, 23 = 5*o + z. Suppose -4*p = p - b + o, 3*p - 12 = -3*b. Is -1 greater than p? False Let m = -0.1 + 0. Let t = -18 + 19.4. Let l = 1 - t. Which is greater: l or m? m Let q(y) = 2*y**2 + 76*y + 144. Let x be q(-36). Which is bigger: -1/430 or x? x Let c(b) = 5*b - 4*b + b**3 - 4*b**2 + 2 - 4 - 8. Let n be c(4). Let z = -6/11 + 64/77. Which is smaller: n or z? n Let a = 1466478/203 + -7224. Is a at most as big as 0? False Let t be 23/(-7) + (-46)/(-161). Let o be 13/(-39)*1327/t. Let s = o - 149. Which is smaller: -3 or s? -3 Let n = 1 - -4. Suppose 0*c - 4*c - 45 = 5*b, 0 = n*b - 4*c + 5. Let l = -0.015 - 0.985. Are l and b equal? False Let j = -7 - -14. Suppose 4*c + j = 3*n, 3*n + n = -c + 22. Suppose -10*t + n*t - 5 = 0. Is t >= -2? True Let g be 195/35 - (-81)/189. Is g > 5? True Let c = -13833 - -54879/4. Let k = c - -114. Is 2 smaller than k? False Let k = 0.597 + -0.53. Let n = k - 1.067. Are n and 3 non-equal? True Let s = -1147 - -992. Which is smaller: -156 or s? -156 Let r be (-6 - -7)/(1/(-7)). Let u(m) = -m - 3. Let v be u(-6). Suppose 0 = v*q - 4*q - 8. Are q and r non-equal? True Suppose 0 = m - 3*f + 41, f = -m - 2*f - 11. Do -25 and m have the same value? False Let i = -956/2365 + 2/473. Is i greater than 0.1015? False Suppose -2*w = -w + 2. Let t = 106 + -109. Which is smaller: w or t? t Let p be (-27)/(-21)*4/6. Let d be 306/(-648) + (-2)/(-9). Which is smaller: p or d? d Let o = 156/83 - 4059/2822. Which is smaller: o or 0? 0 Suppose -4*r = 0, -3 + 11 = 2*l - 4*r. Suppose 289 = 3*u + 5*a, 445 = 5*u + a - 0*a. Let n be u/(-12) + 3 + l. Which is smaller: n or -2/7? n Suppose -4*g + 2 = -6*g. Let b = 22 - 10. Suppose -2*i - 2*i - b = 0. Is g greater than i? True Let z = -36 - -20. Let i = z - -26. Let m = 10.3 - i. Which is bigger: -2 or m? m Let b = 1.6 + -10.6. Let r = 29.1 + b. Let p = r + -20. Which is bigger: p or -16? p Let o be 1*(675/(-335) - -2). Let m = o - 9/3886. Are m and 0 equal? False Let l be 4/(-14) - (-46)/14. Suppose -4*m = -8, 3*i - l*m = i - 24. Let u be 2 - i/3*1. Do 3 and u have different values? True Suppose -6*j - 828 = -3*j. Let n be j/(-14) + (-14)/(-49). Let s be 10/n*(0 + -2). Does s = -2? False Let u be (1832/1896 + -1)*6/8. Let q be (1 + -2)/(0 + -1). Which is smaller: u or q? u Let i = -89 + 444/5. Which is smaller: i or -2/17? i Let y(i) = -i**2 - 6*i - 5. Let l be y(-4). Suppose -4*a + 43 = -b, 37 - 9 = l*a - 5*b. Suppose 0 = 4*u - w - 48, u + u - 3*w = 34. Are u and a non-equal? False Suppose 2*a - 13 = -3. Let g = a + -5. Is g less than 6/5? True Suppose -2409 = 4*a - 5*u, -4*a - 4*u + 2*u = 2430. Is a <= -607? False Let d = 778 - 814. Is d at most -29? True Let r = -3/103 + 287/2781. Let c = 2769 - 2769. Which is smaller: c or r? c Let b = 24.7 - 22.37. Let v = b + -0.43. Let a = -7.9 + 8. Which is greater: v or a? v Suppose 14*l - 19*l = -10. Suppose -3*q - l*q = -4*u + 2, -2*q - 2 = -u. Are q and -4 nonequal? True Suppose 0 = 7*o - 3*o - 16. Suppose -6*r = o*r. Which is greater: 1 or r? 1 Let w(z) = -z**3 - 8*z**2 - 9*z + 2. Let r be w(-7). Suppose 0*d + r = -2*d. Let s = d + 13/2. Which is smaller: s or -2? -2 Suppose 2*b + 4*p - 34 = -3*b, -4*b + 4*p = -56. Let s be 12/30 + (-4)/b. Suppose -h = -s*h + 1. Is h smaller than 0? True Suppose 3*g = r - 3722, -7*g = -3*g + 4*r + 4984. Let l = -16156/13 - g. Is 0 at most l? False Let c be 0/((-1)/(-3*(-4)/24)). Suppose 3*j - 2*x + 1 - 11 = c, 0 = -2*j + 4*x + 20. Which is smaller: -4/21 or j? -4/21 Let c be 4 + (713 - 2)/(-9). Which is smaller: -73 or c? c Let x = 7484641184280179 - 213938962758344858303041/28583730. Let f = -68/48447 - x. Let w = f - 1/118. Which is smaller: w or -1? -1 Suppose -66 = n - 22. Let i = n + 45. Which is smaller: 3/4 or i? 3/4 Suppose 91 = 3*d - 5*w, 27 = -5*w + 2. Let z(l) = l**3 + 37*l**2 - 35*l + 138. Let s be z(-38). Which is smaller: d or s? d Suppose 0 = 4*i - 4, 3*i = -4*q + 33 - 10. Let f(d) = d**2 - 3*d + 1. Let p be f(4). Suppose q*s - 4*m = -4 - 1, -3*m - 5 = p*s. Which is greater: s or -4/3? s Let l be (-7 + (-80 - 7))*-1. Which is smaller: -4/3 or l? -4/3 Suppose -20 = -5*h, 3*q + q - 12 = -3*h. Let j(v) = v**3. Let z be j(q). Suppose l + 0 = p + 4, -l - 3*p - 8 = 0. Which is smaller: z or l? z Let a(l) = -4*l + 6. Let x be a(6). Let o be (-14)/(-63) + 22/x. Let q(d) = d**3 + 3*d**2 - 3*d + 5. Let z be q(-4). Which is greater: z or o? z Let g be 0 + -8 + (-6 - -7). Let b(i) = -i - 4. Let v be b(g). Suppose -2*t = v*t, 3*p = -t - 3. Do p and 2/7 have different values? True Let x(j) = j**3 - 11*j**2 - 13*j + 17. Let n be x(12). Let h be (0/n - -1) + (-34)/26. Which is smaller: 0.1 or h? h Let b(u) = -u**2 - 18*u - 51. Let m be b(-14). Which is smaller: 84/13 or m? m Let l be 4*1/1149*187/374. Is l > 2/7? False Let q = 1386 + -1437. Is -51 less than q? False Let p = -2.7 + 2.7. Let g = 27094/5 + -11216411/2070. Let f = g + -1/46. Is p <= f? True Let p = 35 - 12. Let i = p + -22. Is i greater than or equal to -2/5? True Let g = 12608/11 - 1146. Which is bigger: -117 or g? g Let m = -87.9 - -29.9. Which is greater: m or -2/5? -2/5 Let h(a) = -2*a**3 + 5*a**2 + 6*a + 6. Let d(p) = p**3 + p**2 + p + 1. Let n(o) = 3*d(o) + h(o). Let t be n(-7). Is t greater than or equal t
{ "pile_set_name": "DM Mathematics" }
What is s(n(z))? 49*z**4 Let y = 60 - 55. Let c(v) = 2*v - v + 4*v - y*v - 11*v**2. Let j(n) = 14*n**2. Calculate c(j(r)). -2156*r**4 Let p(k) = -28*k. Let w(t) = 788*t + 184. What is p(w(z))? -22064*z - 5152 Let m(c) be the second derivative of -11*c**3/3 + 5*c. Let p be 1*(-4)/40 + 333/30. Let w(n) = p*n - 17*n + 9*n. Give w(m(k)). -66*k Let q(v) = -28*v**2. Let z(w) = 31*w**2 + 103*w + 5. Let b(a) = 16*a**2 + 62*a + 3. Let p(f) = -5*b(f) + 3*z(f). What is p(q(l))? 10192*l**4 + 28*l**2 Let d(z) = -1 + 1 - z. Let x(n) = -5*n + 273. Let h(f) = 22*f - 1145. Let l(m) = 5*h(m) + 21*x(m). Calculate d(l(r)). -5*r - 8 Let y(t) = -3*t. Let k(p) be the third derivative of 0*p + 0*p**3 + 0 - 1/3*p**4 + 2*p**2. What is y(k(h))? 24*h Let a(k) = k. Let o(z) = -2*z**2 + 8*z. Let p(v) = -8*a(v) + o(v). Let j(m) = 2203*m**2. What is j(p(h))? 8812*h**4 Let l(w) = 29*w - 1332244. Let s(p) = 7*p. What is s(l(g))? 203*g - 9325708 Let m(j) be the second derivative of j**3/2 - 3633*j. Let o(f) = -827*f. Determine o(m(u)). -2481*u Let a be (4/10)/(((-9)/(-20))/9). Suppose -a*f = -43 - 141. Let m(q) = -50 + q + f + 27. Let t(x) = -17*x**2. Calculate m(t(p)). -17*p**2 Let g(x) = -x**2. Let v(l) = -7*l - 15. Let h be v(-4). Let a = h - 15. Let k(j) = j. Let d(r) = r. Let b(n) = a*d(n) + 4*k(n). What is g(b(o))? -4*o**2 Let q(m) = m**2. Suppose -x - 30 = -16*x. Let d(i) = -11*i**x - 93 + 44 + 49. What is q(d(j))? 121*j**4 Let s(l) = 245*l**2. Let b(k) = 3*k - 3. Let t(a) = -3*a**2 - 18*a + 18. Let f(o) = 6*b(o) + t(o). What is f(s(v))? -180075*v**4 Let c(p) = -p**2. Let v(y) be the second derivative of -607*y**3/6 - 1213*y. What is v(c(a))? 607*a**2 Let t(x) = 4*x**2 + 13*x. Let r(j) = 2*j**2 + 6*j. Let g(q) = 13*r(q) - 6*t(q). Let c = -898 - -948. Let s(z) = -16*z + 3*z - z + c*z - 12*z. Calculate s(g(f)). 48*f**2 Let w(i) be the third derivative of i**5/30 - i**2. Suppose 0 = 12*g + 18*g - 60. Let s(d) = d - 32*d**2 + 35*d**g + 3*d + 0*d. Determine s(w(l)). 12*l**4 + 8*l**2 Let a(q) = -432*q**2. Let b(t) = -4379*t. Calculate a(b(p)). -8283876912*p**2 Let w(k) be the third derivative of 0 + 0*k**3 - 46*k**2 + 1/8*k**4 + 0*k. Let h(t) = -t - 8. What is h(w(q))? -3*q - 8 Let m(q) = -q**2. Let l = -5462 + 3135. Let i(u) = -67125*u. Let r(v) = 173*v. Let d(h) = l*r(h) - 6*i(h). Give d(m(o)). -179*o**2 Let l(x) = 2 - 2*x - 2. Let o(y) be the third derivative of 17*y**4/12 + y**3/3 - 3*y**2 - 3*y - 60. Determine o(l(i)). -68*i + 2 Let y(j) = 154*j. Let u(p) be the third derivative of p**4/12 + 10*p**2 + 11. What is u(y(f))? 308*f Let i(l) = 36*l. Let d(y) = 3366*y**2 - 11968*y + 272. Let s(o) = -37*o**2 + 132*o - 3. Let p(b) = 3*d(b) + 272*s(b). What is p(i(u))? 44064*u**2 Let b(l) = -18*l**2 - 19*l**2 + 64*l**2 - 13*l**2 - 16*l**2. Let u(n) = 1487*n. Calculate u(b(f)). -2974*f**2 Let z(i) = -245*i. Let n(s) = 27*s + 2. Let k(h) = -146*h - 12. Let t(l) = -k(l) - 6*n(l). Calculate z(t(g)). 3920*g Let j(f) = 3*f**2. Let g(i) = -25*i + 400. Let s be g(16). Let z(u) be the second derivative of 11/12*u**4 + s*u**2 + 0*u**3 + 8*u + 0. What is z(j(k))? 99*k**4 Let o(q) = 21253767*q**2. Let g(l) = -3*l**2. Give g(o(k)). -1355167835070867*k**4 Let u(a) = 2*a**2 + 5. Let g(r) = 129498*r. What is g(u(t))? 258996*t**2 + 647490 Let n(w) = 2*w**2. Let r(f) = 80*f + 1853. Let d(z) = 17*z + 371. Let u(h) = -19*d(h) + 4*r(h). Calculate u(n(m)). -6*m**2 + 363 Let d(c) be the third derivative of -29*c**5/30 - c**3/3 - 14071*c**2. Suppose 3*x = 5 + 4. Let n(w) = 3*w - x*w - w**2. Give n(d(v)). -3364*v**4 - 232*v**2 - 4 Let j(d) = -1533*d. Let n(b) = 8*b + 5. Let f(t) = -38*t - 24. Let q(l) = -5*f(l) - 24*n(l). Give q(j(g)). 3066*g Suppose 4*f + u = -u + 106, -24 = -f - u. Suppose h = -26 + f. Let l(c) = 2*c - 3*c + h*c. Let g(p) = -5*p**2. Give g(l(j)). -20*j**2 Let k(o) = -37*o + 3 - o**2 + 37*o - 3. Let z(d) = 8*d**2 + 19*d - 19*d. Calculate z(k(q)). 8*q**4 Let f(x) = 65*x. Let a(s) = -10649192*s. What is a(f(m))? -692197480*m Let o(l) = -l**2 - 53*l. Let w(i) be the first derivative of -15*i**2 - 1555. What is w(o(r))? 30*r**2 + 1590*r Let c(p) = 8637*p + 8642*p - 17278*p. Let s(j) be the third derivative of -7*j**5/20 + 2*j**2. Determine s(c(n)). -21*n**2 Let f(h) = 51825*h - 25907*h - 25916*h. Let t(y) = -y - 1012. Determine t(f(b)). -2*b - 1012 Let i(b) = 13*b + 0 + 23*b - 3*b - 7*b + 1. Suppose r + 6*r = 364. Let q(w) = -r - w**2 + 52. Give q(i(u)). -676*u**2 - 52*u - 1 Let a be (-4 - -4)*(-12)/8*(-2)/15. Let g(m) be the second derivative of -1/3*m**3 + 0 + a*m**2 - 13*m. Let v(r) = 3*r - 11. Determine v(g(h)). -6*h - 11 Let k(t) = 143*t**2. Let x(o) = -4*o**2 + 599466*o - 599466*o - 2*o**2. Calculate k(x(n)). 5148*n**4 Let x(q) be the first derivative of 4*q**2 - q - 308. Let s(k) = 16*k**2. Determine x(s(t)). 128*t**2 - 1 Let r(v) = -v**2. Let l(g) be the first derivative of 175*g**3/3 + 2083. Give r(l(y)). -30625*y**4 Let t(j) = 2*j**2. Let x(z) = 256 - 361*z - 1643*z - 148*z - 256. What is t(x(k))? 9262208*k**2 Let f(l) = -625*l**2 - 4. Let y(h) = 250001*h**2 + 1602. Let k(c) = 1602*f(c) + 4*y(c). Let w(d) = -d**2. Give w(k(p)). -1552516*p**4 Let i(h) = -2*h**2 - 90*h - 9. Let y(g) = -4120*g. Determine y(i(z)). 8240*z**2 + 370800*z + 37080 Let v(x) = 2*x**2 + 2039868*x. Let l(t) = -4*t. Give v(l(a)). 32*a**2 - 8159472*a Let r(a) = 1068*a. Let f(p) = -2*p + 2692. Give f(r(c)). -2136*c + 2692 Let r(m) = -9*m**2. Let k(b) = 5*b**2 - 9*b + 74837. Determine k(r(g)). 405*g**4 + 81*g**2 + 74837 Let h(b) = -68*b + 928 - 465 - 469. Let n(k) = 19*k**2. What is n(h(p))? 87856*p**2 + 15504*p + 684 Suppose -4*m - 1 = -5*m. Let k(x) = 2 - 5 + 3*x**2 + 4 + m. Let b(d) be the first derivative of d**2/2 - 4. Give b(k(o)). 3*o**2 + 2 Let z(q) = q. Let n(i) = -47*i**2 + 325*i + 15. Let a(s) = -19*s**2 + 163*s + 6. Let u(k) = 5*a(k) - 2*n(k). Give z(u(l)). -l**2 + 165*l Let l(s) = s**2. Suppose v - 3*k = -11, 8 = -v + k + k. Let w be (0 - 4 - -8) + v. Let y(r) = -54*r - 20*r**w + 54*r. Calculate y(l(f)). -20*f**4 Let r(s) = 105*s. Let a(l) = -2*l - 2. Let t(i) = -31724*i + 2 + 31717*i - 6. Let q(f) = 2*a(f) - t(f). Determine q(r(c)). 315*c Let a(w) = 4*w. Let v(p) be the first derivative of -10*p + 0*p**2 + 5/6*p**3 + 9. Let q(g) be the first derivative of v(g). Calculate a(q(u)). 20*u Let c(k) = -2*k**2. Let o(t) = -119*t + 1194. Let m be o(10). Let d be (0 + -72)*27/(-2). Let g(x) = -969*x + m - 4 + d*x. Determine g(c(a)). -6*a**2 Let h(x) = 2*x. Let z(i) = 7*i**2 - 3103061. What is z(h(s))? 28*s**2 - 3103061 Let b(u) = 39*u - 74*u + 34*u. Let j(i) = 2764380 - 2764380 - 4*i**2. What is j(b(d))? -4*d**2 Let a(c) = -2*c. Let j(q) be the first derivative of 14/3*q**3 - 27*q + 0*q**2 + 18. Let s(w) be the first derivative of j(w). Give s(a(r)). -56*r Let s(z) = 0*z**2 + 15887*z - 15887*z - z**2. Let n(c) = -183*c - 75*c - 48*c. Give s(n(q)). -93636*q**2 Let q(j) = 107*j**2 - 6*j + 6. Let a(t) = t - 1. Let w(h) = -6*a(h) - q(h). Let x(b) be the first derivative of -b**2 + 23782. Give w(x(n)). -428*n**2 Let w(i) be the second derivative of 27*i**3/2 + 5238*i + 1. Let b(a) = -2*a**2 - 1. Give b(w(h)). -13122*h**2 - 1 Let l(a) = 1718751*a**2. Let g(h) = -13*h. Calculate l(g(o)). 290468919*o**2 Let j(p) = 1674624*p**2. Let i(c) = 19*c**2. Calculate i(j(v)). 53282945286144*v**4 Let n(y) = -4*y**2 + 57*y. Let d(z) = -54*z**2 - 8 - 75*z**2 + 8 + 112*z**2. What is n(d(q))? -1156*q**4 - 969*q**2 Let s(d) = -d**3 + 2*d**2 + d. Let j be s(2). Let w(k) = 951*k**2 - 1917*k**2 + 958*k**j. Let b(q) = 13*q. Calculate w(b(f)). -1352*f**2 Let z(b) = -2*b - 4130. Let d(i) = 116*i + 20. Determine d(z(r)). -232*r - 479060 Let p(d) = -736*d. Let f(y) = -33*y - 313. Calculate p(f(o)). 24288*o + 230368 Let p(t) = t**2 + 3*t - 9. Let h(f) = f**2 + 2*f - 6. Let o(k) = -3*h(k) + 2*p(k). Let x(z) be the second derivative of 10*z**4/3 + 9*z. What is x(o(q))? 40*q**4 Let w(h) = 379*h**2 - 181*h**2 - 194*h**2. Let o(j) = 362*j**2. Calculate w(o(i)). 524176*i**4 Let a(t) = 106*t**2. Let s(c) = -310*c**2 + 15. Let z(k) = 165*k**2 - 8. Let i(o) = -8*s(o) - 15*z(o). Give a(i(b)). 2650*b**4 Let o(b) = -11*b - 1233. Let c(n) = 3*n**2 + 2*n. Calculate c(o(k)). 363*k**2 + 81356*k + 4558401 Let p(x) = 3*x. Let c(w) = 1963505*w**2. What is
{ "pile_set_name": "DM Mathematics" }
ed by 53174? 13/53174 What is -18 divided by 84921? -6/28307 Divide 79 by -5718. -79/5718 Calculate -1762 divided by 21. -1762/21 Divide -5137 by 22. -467/2 4150 divided by 15 830/3 Divide -14 by -870. 7/435 27270 divided by 2727 10 Divide -131499 by 14611. -9 Calculate -11222 divided by -177. 11222/177 Divide -1660 by -830. 2 Calculate -91 divided by -1770. 91/1770 -4 divided by -332075 4/332075 143160 divided by 15 9544 Divide -132 by 2966. -66/1483 -39494 divided by -4 19747/2 Divide 3 by -688975. -3/688975 -24811 divided by 47 -24811/47 What is 24654 divided by -55? -24654/55 What is -177189 divided by 1? -177189 Divide 789910 by -9185. -86 28685 divided by 2 28685/2 -21944 divided by 211 -104 Calculate 58344 divided by 19448. 3 264095 divided by 1 264095 Divide -821436 by -66. 12446 Divide 22550 by 2050. 11 What is -102939 divided by -3? 34313 Divide 985278 by 21. 46918 Divide -23915 by -5. 4783 Divide -625 by 315. -125/63 What is -1910 divided by -25? 382/5 -224 divided by -172 56/43 Calculate 7658 divided by 7658. 1 Divide 2906565 by -968855. -3 What is -18644 divided by 79? -236 Calculate -458920 divided by 20. -22946 Calculate 2 divided by -17995. -2/17995 Calculate 282180 divided by -141090. -2 What is -566 divided by -4? 283/2 47852 divided by -1 -47852 What is -2 divided by 64710? -1/32355 -28 divided by -174175 28/174175 -25996 divided by -97 268 What is 0 divided by -14059? 0 582134 divided by -301 -1934 Divide 82290 by -2743. -30 What is 11 divided by 12254? 1/1114 Calculate -260 divided by 10. -26 Calculate -3993 divided by -426. 1331/142 Calculate -13992 divided by 44. -318 What is -395032 divided by 8978? -44 7500 divided by -2500 -3 What is 4 divided by -609063? -4/609063 -10418 divided by -64 5209/32 Divide 902338 by -2. -451169 Calculate -3090 divided by 732. -515/122 Calculate -289272 divided by 5. -289272/5 Divide -1689141 by 2. -1689141/2 What is -1001 divided by -90? 1001/90 What is 2152980 divided by 239220? 9 Divide -427884 by -6. 71314 -35802 divided by 6 -5967 Calculate -2570272 divided by -4. 642568 Calculate 19 divided by -4722. -19/4722 Divide 240084 by 4212. 57 Divide -7 by -60278. 7/60278 Calculate 5 divided by 58761. 5/58761 50508 divided by 61 828 223 divided by -812 -223/812 Divide -92970 by 16. -46485/8 Calculate 772602 divided by 386301. 2 -20673 divided by 3 -6891 Calculate 507904 divided by -128. -3968 Calculate -31 divided by 1275. -31/1275 What is -119546 divided by 12? -59773/6 87700 divided by -4 -21925 28757 divided by -30 -28757/30 Divide -1349094 by 206. -6549 -398466 divided by 3 -132822 What is -98110 divided by -19622? 5 19 divided by -5920 -19/5920 Divide -5 by -83576. 5/83576 Calculate 92 divided by -6216. -23/1554 Divide 4653 by 1551. 3 151107 divided by -3 -50369 Divide -14532 by 3633. -4 What is 798824 divided by -52? -15362 Divide -5375 by 74. -5375/74 What is -62048 divided by -1939? 32 Calculate -2867643 divided by 3. -955881 What is -1075711 divided by 153673? -7 Calculate 0 divided by 515. 0 Divide -39232 by -8. 4904 What is 31 divided by 24100? 31/24100 0 divided by -83100 0 47055 divided by 9411 5 What is -3055104 divided by 351? -8704 Divide -238 by -17. 14 107624 divided by 24 13453/3 -20898 divided by 6966 -3 Calculate -2861 divided by -48. 2861/48 Divide 1464800 by -292960. -5 -128304 divided by 528 -243 What is -25 divided by -719? 25/719 Divide 12311 by -12311. -1 Calculate -376824 divided by 26916. -14 -2484980 divided by 124249 -20 Divide 1 by 25820. 1/25820 Calculate 1 divided by 600772. 1/600772 Divide -4 by -81207. 4/81207 -2 divided by 18885 -2/18885 13 divided by -192801 -13/192801 What is -5 divided by 4886? -5/4886 Calculate -72912 divided by 196. -372 Divide 4377 by -7. -4377/7 Calculate 647 divided by 6. 647/6 -703007 divided by 1 -703007 What is -16 divided by -68814? 8/34407 What is 26568 divided by 56? 3321/7 -28 divided by -1 28 Calculate 20460 divided by -4092. -5 What is 9578 divided by 1? 9578 Divide 604672 by -16. -37792 Divide -979540 by -860. 1139 Calculate 381632 divided by -5696. -67 What is -14832 divided by -4944? 3 451 divided by -69 -451/69 What is -17434 divided by -17434? 1 What is 3617 divided by 31? 3617/31 What is -1523896 divided by 761948? -2 Calculate -114 divided by -162. 19/27 What is -14 divided by 26366? -7/13183 -522 divided by 9 -58 Calculate -248900 divided by -2. 124450 9113 divided by -22 -9113/22 What is 209 divided by 427? 209/427 Divide -36855 by 81. -455 Divide -2 by 406414. -1/203207 What is -52 divided by 346? -26/173 Divide 11886 by 1981. 6 What is -16668 divided by -9? 1852 Divide -5 by 18406. -5/18406 What is -249992 divided by -8? 31249 Divide 612693 by -32247. -19 Calculate 6 divided by -49. -6/49 Calculate -2687258 divided by 11291. -238 -48660 divided by 6 -8110 What is -48541 divided by -43? 48541/43 Calculate 172999 divided by 2. 172999/2 What is 5112 divided by 4? 1278 Calculate 33015 divided by 4. 33015/4 What is -1 divided by -14748? 1/14748 Divide -7735 by -1547. 5 -38859 divided by 2 -38859/2 Divide 7178463 by 387. 18549 43410 divided by -14470 -3 What is -50 divided by 8082? -25/4041 What is 5 divided by 7905? 1/1581 122530 divided by -5 -24506 Divide -5502 by -917. 6 -19074 divided by 374 -51 -112 divided by 8762 -56/4381 What is -906980 divided by 1? -906980 Calculate 3320134 divided by 17. 195302 What is -12778 divided by 177? -12778/177 What is -2174628 divided by -6? 362438 44844 divided by -222 -202 What is -1993852 divided by 498463? -4 Calculate -65079 divided by -7. 9297 Calculate 27780 divided by -30. -926 What is 127 divided by 371? 127/371 What is 3801256 divided by 6? 1900628/3 Divide -1927056 by 57. -33808 Divide 494352 by -164784. -3 -4782 divided by -426 797/71 Calculate 521229 divided by 173743. 3 Divide -102616 by 25654. -4 What is 6574 divided by -6574? -1 -3198 divided by 234 -41/3 What is 77304 divided by -3221? -24 -5 divided by 15805 -1/3161 What is 592 divided by 853? 592/853 What is -3123 divided by 6? -1041/2 Calculate 344685 divided by 3. 114895 -69050 divided by -34525 2 Divide 4 by 9159. 4/9159 -29 divided by -42924 29/42924 What is 6 divided by 425300? 3/212650 What is -296148 divided by 5106? -58 Calculate -84056 divided by 36. -21014/9 Calculate -948343 divided by -11. 86213 What is 115111 divided by 6? 115111/6 What is 1315008 divided by -24352? -54 78030 divided by -26010 -3 Divide 431 by -4. -431/4 -28305 divided by -15 1887 Divide 12 by 135. 4/45 Calculate 867186 divided by -289062. -3 Calculate -580436 divided by -2. 290218 Calculate -46062 divided by 46062. -1 What is -2 divided by -6372? 1/3186 Divide 154122 by -17. -9066 What is -8 divided by 159? -8/159 Divide -3360 by 1120. -3 Calculate -41290 divided by 16. -20645/8 Calculate -51 divided by -1435. 51/1435 What is -7609 divided by 67? -7609/67 Divide 153134 by 3329. 46 Divide 6 by 453887. 6/453887 Calculate -5465 divided by 21. -5465/21 808425 divided by 808425 1 -178398 divided by -2703 66 Calculate 1895325 divided by 17075. 111 Calculate 41871 divided by 3. 13957 1276 divided by -96 -319/24 Divide -1140552 by -126. 9052 -1599 divided by 7 -1599/7 Calculate -11190 divided by -6. 1865 Calculate 54845 divided by 16. 54845/16 Calculate -6228 divided by -2076. 3 268818 divided by -8146 -33 What is -83 divided by 2527? -83/2527 What is 183837 divided by 61279? 3 Divide -1 by -2303. 1/2303 -237780 divided by 5284 -45 1254 divided by 920 627/460 Divide 11265 by 5. 2253 Divide -2610212 by 2. -1305106 Calculate 98699 divided by 5. 98699/5 What is 126347 divided by 1? 126347 2318634 divided by -6 -386439 What is -116 divided by -64? 29/16 What is 2 divided by 3153? 2/3153 What is 32895 divided by 6579? 5 Calculate 7 divided by 159193. 7/159193 Divide 71803 by -16. -71803/16 What is 431478 divided by -215739? -2 Calculate -611955 divided by -5. 122391 -2 divided by -5826 1/2913 Calculate 185802 divided by 3. 61934 Calculate -113853 divided by -3. 37951 Calculate 343 divided by -343. -1 Divide 386030 by 2. 193015 What is -186732 divided by 13? -14364 Calculate -337680 divided by 56280. -6 What is -487852 divided by -5? 487852/5 Divide -3 by 173451. -1/57817 Divide -15 by -2462. 15/2462 -299844 divided by -18 16658 Calculate -1
{ "pile_set_name": "DM Mathematics" }
) = f**3 + 2*f - 1. Let b be s(1). Suppose h = -4, 7*x - 5*x = b*h + 12. Let n(v) = 0*v - 6*v**2 - x + 4 - 2*v. What is n(-2)? -18 Let f(y) = y**2 - 4*y. Let i(m) = m**3 + 7*m**2 + 4*m - 6. Let w be i(-4). Let g = 41 - 63. Let o = g + w. Determine f(o). 0 Let b(s) be the second derivative of 3*s**5/20 - s**4/12 - s**3/6 + 3*s**2/2 + 131*s - 1. Give b(-2). -23 Let x(z) = -44*z - 2. Let b(y) = y**3 - 39*y**2 - 12*y + 469. Let s be b(39). What is x(s)? -46 Let b be ((-1211)/2595)/(2/(-5)). Let x(g) be the third derivative of 0 + 0*g + 1/12*g**5 - 1/8*g**4 + 40*g**2 + b*g**3 + 1/120*g**6. Calculate x(-6). -11 Let u(o) = 15*o - 1. Let s(m) be the second derivative of -m**5/20 + 5*m**4/12 - m**3 - m**2/2 + 28*m. Let p be s(3). What is u(p)? -16 Let f(y) = 2*y - 5. Let u = 245 - 256. Let j = u + 20. Determine f(j). 13 Let j(m) be the second derivative of 5*m**4/2 - 2*m**3 + m**2/2 - 74*m - 1. Let y(g) = -32*g**2 + 14*g - 1. Let c(d) = 7*j(d) + 6*y(d). Determine c(-1). 19 Let u(x) = -16*x + 2*x**2 + 24*x**2 + 23*x - 25*x**2. Let r = 0 - 4. What is u(r)? -12 Suppose 3*p - 36 = 15*p. Let q(m) = m**3 - m**2 + 3*m + 2. Let d(o) = -2*o**3 + 2*o**2 - 5*o - 4. Let r(c) = p*d(c) - 5*q(c). Determine r(2). 6 Let w(p) = -p**3 + 3*p**2 - 13*p - 1. Let t(h) = 3*h**3 - 9*h**2 + 38*h + 1. Let o(i) = -2*t(i) - 7*w(i). Give o(4). 81 Suppose 142 - 46 = 12*v. Let f(l) = l**3 + 8*l**2 + v*l + 12749 + 0*l**3 - 12750. Calculate f(-7). -8 Let a = -38 - -48. Let r(t) = 4*t + 5*t - 4*t - 1 - a*t. Let n = 41 + -39. Give r(n). -11 Suppose -2*g + 3*l - 12 = 0, -2*g - 3*l - 2*l = 12. Let c(t) = 7*t**3 - 5. Let k(a) = -5*a**3 - 2*a**2 + 3. Let s(q) = -2*c(q) - 3*k(q). What is s(g)? 1 Let k be ((-14)/((-210)/(-45)))/((-8)/5 - -1). Let p(j) = 2*j**2 - 12*j + 10. Give p(k). 0 Let a(h) = h**2 - h - 2. Let n be a(6). Let l = n + -25. Suppose 0 = -l*w + 3*f + 15, -5*w + 2*f + 29 = f. Let i(p) = p**2 - 5*p + 5. Calculate i(w). 11 Let p be 18/168*8 - 1/(-7). Let n be (168/14)/(-1*1/p). Let m be (-2)/(-1)*n/8*1. Let c(y) = 2*y**2 + 3*y + 1. Calculate c(m). 10 Let u(y) = 8*y - 1. Let s(c) = 7*c - 37. Let o be s(5). Let w be o/(-12) - 15/(-18). Let r(j) = j**2 - j + 1. Let t be r(w). What is u(t)? 7 Let o(t) = t**3 - 2*t**2 - t + 7. Let i(g) = 2*g**3 - 8*g**2 + 2*g + 24. Let y(v) = -i(v) + 3*o(v). Let b = -10 - -7. What is y(b)? 3 Suppose -2*a = -r + 3*r - 8, r = a - 10. Suppose -g = -3*b + 2, 1 = -4*g + 2*b + 3*b. Let y(w) = 0*w + w**2 + 3*w - 11*w + g. What is y(a)? -6 Let x(g) = 3*g - 43. Let c = 5989 + -5980. What is x(c)? -16 Let x(d) be the second derivative of d**7/1260 + d**6/180 - d**5/40 - d**4/12 - 2*d**3/3 + 20*d. Let w(l) be the third derivative of x(l). Determine w(-4). 13 Suppose -11*i = -8*i - 25*i - 58 - 74. Let p(a) be the third derivative of -a**5/60 - 5*a**4/12 - 4*a**3/3 + a**2. Determine p(i). 16 Suppose -d + 881 = 7*l - 10*l, -l - 2*d - 303 = 0. Let b = l + 286. Let n(a) = -a - 15. Calculate n(b). -6 Let m(a) = a**2 - 35*a + 43. Let y(d) = 23*d - 28. Let v(o) = 5*m(o) + 8*y(o). Let z(k) = -3*k**2 - 11*k + 11. Let f(u) = 2*v(u) + 3*z(u). Determine f(13). -11 Let z(y) be the third derivative of 0*y + 1/120*y**6 + 1/15*y**5 + 3 + 0*y**4 - 18*y**2 - 1/6*y**3. Determine z(-2). 7 Let w(m) = -4 - 6*m**2 - 5*m + 15*m + 5*m**2. Suppose -2*l = 2*l + 5*z + 407, -l + z - 95 = 0. Let x = -89 - l. What is w(x)? 5 Let t(o) = o**3 + 15*o**2 - 20*o - 62. Let i(w) = 3*w**3 + 8*w**2 + 2*w - 20. Let m be i(-2). What is t(m)? 2 Let s(b) = -4*b**3 + 2*b**2 - b - 3. Let l(k) = 3*k**3 - 3*k**2 + 4. Let z(g) = 3*l(g) + 2*s(g). Let p = -86 + 91. What is z(p)? -4 Let m(k) = -3*k**3 + 3*k**2 - k - 2. Let x = -2583 - -2585. What is m(x)? -16 Let f be ((-28)/6)/((-6)/9). Suppose 0 = -x + 6 - f. Let i(a) = a. Let y(c) = -7*c + 1. Let v(s) = x*y(s) - 3*i(s). Determine v(2). 7 Let w(b) = -147*b**3 + 37*b**3 + 115*b**3 - 3*b**2 + 0*b**2 + 7 - b. What is w(3)? 112 Let t(q) = -4*q**2 - 2*q + 2. Let f(x) = -x**3 - 3*x**2 - 5*x + 2. Let s(r) = f(r) - 2*t(r). Determine s(4). 10 Suppose 0*t = -t, 5*t = -4*i + 84. Let z(d) = d + i - 2*d - 15 + 6*d - d**2. Give z(6). 0 Let w(a) = -2*a + 10. Let h be w(3). Suppose -c - 12 = -h*c, -3*c + 24 = o. Suppose -o = -4*y - 8. Let g(k) = -7*k**3 - 2*k + 1. Give g(y). -8 Suppose 3*y - 2*r = 17, 3*y - r - 25 = -12. Suppose -y*s + 3*m = -s - 15, s = -m. Let d(h) = h**2 - 2*h - 4. What is d(s)? -1 Let c(s) = -s**3 + 17*s**2 - 30*s + 20. Let k(r) = r**3 - 16*r**2 + 31*r - 20. Let m(g) = 7*c(g) + 6*k(g). What is m(22)? -24 Let k(r) = -r**3 + 4*r**2 + 5*r + 4. Let a(p) = 2*p + 3. Let l be a(0). Suppose -5*x = -15, l*c + 0*c - 4*x = -3. Suppose -c*s + 25 = 2*s. Determine k(s). 4 Let f(i) = -4*i + 5*i - 2 + i**2 - 3*i**2. Suppose -c - 1380 = -31*c. Suppose -c*v = -21*v + 75. Give f(v). -23 Let c(m) be the third derivative of -5/3*m**3 + 0*m + 0 - 140*m**2 - 1/4*m**4. Calculate c(-5). 20 Suppose -4*j + 40 = 4*z, 246*z - 5*j - 31 = 242*z. Let a(u) = u**2 - 12*u + 5. Determine a(z). -22 Let f(n) = -61*n + 38. Let b(m) = -182*m + 110. Let p(j) = 5*b(j) - 16*f(j). What is p(1)? 8 Let b(v) = v + 15. Let x be ((-6)/((-30)/(-5)))/(2/(-814)). Let r = 392 - x. Calculate b(r). 0 Suppose -57*g + 171 = 171. Let i(t) = t**2 + 4*t + 62. Calculate i(g). 62 Let y(c) = -c**3 - 71*c**2 + 224*c + 146. Let i be y(-74). Let l(v) = 36*v**2 - 4*v - 6. What is l(i)? 146 Suppose -4*r - 8 = -0. Let n(v) = 1 + 0*v**2 - 80*v + 192*v - 111*v + 5*v**2 - v**2. What is n(r)? 15 Let a be (-600)/(-25)*10/(-240). Let q = -5 - -8. Let f(k) = 1 + k + q*k**2 + k + 4*k**2. Determine f(a). 6 Suppose 35*d = 69*d + 306. Let q(f) = -f**3 - 9*f**2 - 2*f - 10. Determine q(d). 8 Let t(x) = -32*x - 12. Let r(l) = -11*l - 4. Let g(u) = 14*r(u) - 5*t(u). Suppose 0*d - d - 5*p = 3, 0 = 3*d + 3*p - 3. Suppose d*z = z - 4. What is g(z)? -20 Let t(z) = 5*z - 4 + 18*z**2 + 5 - 1. Let o(l) = 9*l**2 + 3*l. Let m(k) = -7*o(k) + 4*t(k). Let r be 6 - (-5)/(-5 + 4). Calculate m(r). 8 Let j = -1571 + 1562. Let x(f) = f**2 + 2. Let d(s) = -5*s**2 - 20*s - 19. Let k(g) = d(g) + 3*x(g). Give k(j). 5 Let b(i) = -2660*i + i**2 + 2630*i + 4*i**2 - 8 - 2*i**2 + 3*i**2. What is b(7)? 76 Let y(h) = 3*h**2 - 22*h + 7. Let s(z) = -z**2 - 7*z + 2*z**2 - 3*z**2 + 18*z - 4. Let k(x) = -5*s(x) - 3*y(x). Give k(-11). -1 Let d(r) = -9*r - 41. Let i be d(-5). Let z(c) = 44*c**2 - 96*c**2 + 41*c**2 - i + 3. Determine z(-1). -12 Suppose 5*y + 512 = 87. Let i be y/34*(1 + 1). Let j(g) = g**2 - g - 3. Determine j(i). 27 Let o(p) = -p - 1. Let y(c) = 23*c + 2. Let i be y(1). Suppose s - i + 16 = 0. Let j be 6/s*21/(-2). Determine o(j). 6 Let l(x) = x**3 - x**2 - 2*x + 4. Let b(u) = 2*u**3 - u**2 - 5*u + 6. Suppose -y - 5 = -2*c, 5*c - 3*y - 6 - 6 = 0. Let v(s) = c*b(s) - 5*l(s). What is v(-3)? 4 Suppose o - 13 = -o + 3*g, 0 = -o - 4*g + 1. Let f(h) = 2*h + 10. Let u be f(5). Suppose -u = -o*c + 5. Let q(j) = -j**3 + 6*j**2 - 6*j + 1. Calculate q(c). -4 Let a(s) = s**3 + 5*s**2 + 3*s - 2. Let r = -58 + 62. Suppose 5*p = -5*u + 2*p - 40, 4*p = -r*u - 40. Calculate a(u). -17 Let c(p) = p**3 - 12*p**2 + p + 212. Let a be c(6). Let o(u) = -13*u + 4. Calculate o(a). -22 Let m(s) be the second derivative of -s**5/20 - s**4/4 - s**3/3 - 2*s**2 + 4*s. Let j = -144 + 17. Let x = j + 124. Calculate m(x). 2 Let v(n) = -3*n**2 - 15*n - 10. Suppose -9*p - 243 = 7*p + 11*p. Calculate v(p). -118 Let o(r) = -r**3 + 17*r**2 + 62*r - 454. Let a be o(19). Let d(f) = -9*f**2 - 3*f - 2. Give d(a). -44 Let t(j) = -j**3 - 9*j**2 - j - 4. Let h = -3702 + 3693. Give t(h). 5 Let i(g) = g**3 + g**2 - 5*g + 4. Suppose 56 - 66 = 2*l, -5*j + 4*l + 25 = 0. Calculate i(j). 1 Let k be (111 - 0) + 6 + -5. Let i(d) = 58 - k - d**2 + 2*d + 57. Determine i(5). -12 Suppose -6*y - 30 = -2*o, -2*o + 9*y = 6*y - 18. Let s(c) be the first derivative of -36 + 1/4*c**4 - 8/3*c**o - 7/2*c**2 - 13*c. What is s(9)? 5 Let g(l) = 7*l**3 + 46*l - l**2 + 19 - 46*l - 18. Let f = -32 - -31. Let z be (3 + -2)*f + 2. Determine g(z). 7 Let k be (14 - 16)*(-9)/(-6)*-1. Suppose 2*i = -z - k, 2*z = 12*i - 7*i - 6. Let a(p) = -p**3 - 3*p**2 - 3*p - 7. Give a(z). 2 Suppose -14*q = 67*q - 67 - 14. Let s(b) = 7*b + 11. Calculate s(q). 18 Let y(o) = -894*o**2 + 1798*o - 2. Let k be y(2). Let m(n) = -4*n**2 + 72*n. Determi
{ "pile_set_name": "DM Mathematics" }