text
stringlengths 270
8.19k
| meta
dict |
|---|---|
612) - sqrt(612) - sqrt(612)) + sqrt(612))*-2 - (-3 + sqrt(17) + 1 + 3).
-5 - sqrt(17)
Simplify (sqrt(190) - sqrt(190)*2*4 - (sqrt(190) - ((sqrt(190) - -2*sqrt(190)*-4) + sqrt(190))))/(-5*(-2*sqrt(810) - sqrt(810))).
-14*sqrt(19)/135
Simplify ((-4 + sqrt(78)/sqrt(384)*2 + 1)*5)**2.
-75*sqrt(13)/2 + 3925/16
Simplify (((sqrt(616) - (-4*sqrt(616) - sqrt(616)))/sqrt(11))/(sqrt(8) + sqrt(32)/sqrt(4)*-6) + 2)**2.
-24*sqrt(7)/5 + 352/25
Simplify 2 + sqrt(192) + -1 + (-4 + sqrt(6)/sqrt(2) + 4)**2.
4 + 8*sqrt(3)
Simplify sqrt(7) + 5*(2 + sqrt(7)) + sqrt(7) + (sqrt(14)/sqrt(2) + sqrt(7) + 0 - sqrt(7)) + (2 + sqrt(77)/(2*sqrt(176)))**2.
903/64 + 17*sqrt(7)/2
Simplify (-3*((sqrt(156) - (sqrt(156)*-2 - sqrt(156)) - sqrt(156)) + sqrt(156)))/(sqrt(60)/(-2*sqrt(5) - sqrt(5))) - (sqrt(117) + -2 - (sqrt(52) + 0)).
2 + 35*sqrt(13)
Simplify (sqrt(399)/(sqrt(42)/sqrt(6)))/(-6*sqrt(48)).
-sqrt(19)/24
Simplify (sqrt(121)/(sqrt(33)/(sqrt(3)*-2)) + 2)**2*6.
-48*sqrt(11) + 288
Simplify (5 + (sqrt(3) + 0)*-5 + sqrt(192)*3 + sqrt(3))*-5.
-100*sqrt(3) - 25
Simplify (2 + (sqrt(396) - -1*sqrt(396) - sqrt(396)) + 1)**2 + (-4 + (sqrt(11) - (-2*sqrt(77))/sqrt(7)))*-2.
30*sqrt(11) + 413
Simplify 5 + -4 + 2 + sqrt(13) + (3 + sqrt(13) + 2 - (sqrt(13) + 2*sqrt(13) + -4 + sqrt(13)))**2.
-53*sqrt(13) + 201
Simplify (-6*(-2*sqrt(245) + -3 + (1 + sqrt(245))*-2 + (1*sqrt(245)*4 + sqrt(245) - 2*(sqrt(245) - (sqrt(245) + 1)))))**2.
-1512*sqrt(5) + 9144
Simplify ((1*(sqrt(208) + (sqrt(208) + -3 - sqrt(208))) + 3*-1*sqrt(208))*4)**2.
768*sqrt(13) + 13456
Simplify 3 + (sqrt(325) + 4)*-3*1.
-15*sqrt(13) - 9
Simplify (-5*(2*(-1 + sqrt(175)) - sqrt(175)) - 1*(sqrt(175) - 2*sqrt(175)*-1))**2.
-800*sqrt(7) + 11300
Simplify -1*(1*(sqrt(64) + sqrt(64) + sqrt(64)*1))/(sqrt(32)/sqrt(4)).
-6*sqrt(2)
Simplify 1 + (-5*sqrt(114)*2*-6)/((sqrt(1458) - sqrt(1458)*-2)/sqrt(3)).
1 + 20*sqrt(19)/9
Simplify 6*(0 + sqrt(7)*-3) - 2*(sqrt(700) + -1)**2.
-1402 + 22*sqrt(7)
Simplify ((sqrt(336) + 5*-1*sqrt(336) + sqrt(336) + sqrt(336))/sqrt(12))/((2*sqrt(8))/sqrt(2) - (sqrt(8) + sqrt(32) + sqrt(8))/sqrt(2)).
sqrt(7)
Simplify -3 + (sqrt(56)/(sqrt(8)*5) - (3*sqrt(112))**2).
-1011 + sqrt(7)/5
Simplify -5 + (((sqrt(30) + sqrt(480) + sqrt(30))/sqrt(10) - (-1*sqrt(3) + -3 - sqrt(3))) + (sqrt(3) - (sqrt(243)*1 - sqrt(3))) + 3)**2.
12*sqrt(3) + 34
Simplify (sqrt(121)*-2*-5*-4)/(sqrt(99)/((sqrt(576) - sqrt(576)*-2) + sqrt(9))) + 3.
-1000*sqrt(11) + 3
Simplify -1 + (2 + sqrt(700)*1 + sqrt(700) + sqrt(700) + 2)**2 + -4 + -2.
240*sqrt(7) + 6309
Simplify (sqrt(14)*1*2)/sqrt(2) + sqrt(42)/(2*sqrt(6)) + 1.
1 + 5*sqrt(7)/2
Simplify (-4 + (-2 + sqrt(882)*2)*-6)**2.
-4032*sqrt(2) + 127072
Simplify -3*(-1 + (2 + sqrt(3))*6 + sqrt(3) + (-1 + sqrt(3))*4)**2.
-1236 - 462*sqrt(3)
Simplify -3*-4*(sqrt(539) - (sqrt(539)*2 + -4)**2)*-2.
-2856*sqrt(11) + 52128
Simplify (-4 + (sqrt(832)*1)**2 + -5 + 5)*-4.
-3312
Simplify (-1 + 2*(((sqrt(84) - 1*sqrt(84))*-6)/sqrt(12) + (5 + 1*sqrt(7) - sqrt(56)/sqrt(32))))**2.
18*sqrt(7) + 88
Simplify (sqrt(468) + 1 - sqrt(468) - ((sqrt(13) + 2)**2 + 3)) + 0 + 0 + sqrt(52)/sqrt(4).
-19 - 3*sqrt(13)
Simplify (((sqrt(14) - sqrt(14)*1 - sqrt(14)) + sqrt(14))/sqrt(7) - (-4 + sqrt(2) + 1*sqrt(2)))*4 + 0.
-8*sqrt(2) + 16
Simplify -2*(1*sqrt(500))/sqrt(10)*-4.
40*sqrt(2)
Simplify (-3 + sqrt(171) + -3 - -1*(3 + sqrt(171)))**2.
-36*sqrt(19) + 693
Simplify (-1*(-3 + (5 + 1*sqrt(117) + -2)*5))**2.
360*sqrt(13) + 3069
Simplify (sqrt(360)/(-3*sqrt(12)))/(sqrt(12)/(sqrt(2)*4 + sqrt(2))).
-5*sqrt(5)/3
Simplify (-2 + sqrt(50) - (sqrt(288) + 2))**2 - (5 + sqrt(2) + -2 - (4 + sqrt(2) + 1)).
56*sqrt(2) + 116
Simplify ((2 + (sqrt(104)*-4 - sqrt(104))/sqrt(8) + 0)*2)**2.
-80*sqrt(13) + 1316
Simplify -5 + (sqrt(57) - (sqrt(57) + (sqrt(171)*-3 + sqrt(171))/sqrt(3)))/(sqrt(300) - 3*sqrt(300)).
-5 - sqrt(19)/10
Simplify (4*1*sqrt(95) - (sqrt(95) + sqrt(95)*1*2))/(-2*sqrt(180)*-4).
sqrt(19)/48
Simplify (sqrt(68)/(4*(sqrt(4) - sqrt(100))) + 4 + -2 + sqrt(153))**2.
47*sqrt(17)/4 + 38577/256
Simplify -2 + 1*-2*-2*(sqrt(76) - (2 + sqrt(76)*1)).
-10
Simplify (-3 + (sqrt(252) - (sqrt(252)*-3 + 4) - (sqrt(252) + sqrt(252) + sqrt(252) + (sqrt(252) + sqrt(252) + -4)*-3)) + -2)**2.
-1764*sqrt(7) + 12789
Simplify (-4*(6*sqrt(27)/(sqrt(1296) + sqrt(1296)*1 + sqrt(1296)) + -3))**2.
-16*sqrt(3) + 436/3
Simplify (sqrt(2200) + 1*sqrt(2200))/(sqrt(132)/(sqrt(36)/sqrt(3)) + sqrt(11)) + 2.
2 + 10*sqrt(2)
Simplify 2*(4 + -1 + ((sqrt(99) - -6*sqrt(99)*1) + -2)**2).
-168*sqrt(11) + 9716
Simplify (sqrt(176)/sqrt(4) + -3 + (2*sqrt(66)*5)/sqrt(6))**2.
-72*sqrt(11) + 1593
Simplify (sqrt(3078) + (sqrt(3078) - (sqrt(3078) + (sqrt(3078) - (sqrt(3078)*-1 - sqrt(3078))))*-3))/((sqrt(96) + sqrt(96) + sqrt(96) + sqrt(96)*-1)/sqrt(12)).
63*sqrt(19)/2
Simplify (sqrt(272)*2*6 - sqrt(272)) + (-3 + sqrt(68)/sqrt(4) - (sqrt(272) + sqrt(17) + 3))**2.
308 + 92*sqrt(17)
Simplify -4 + sqrt(1331)*-4*-2 + (sqrt(1331) - ((sqrt(1331) + sqrt(1331) + 0)**2 + -5)).
-5323 + 99*sqrt(11)
Simplify (sqrt(288) + 3)**2 + ((2*sqrt(1568))**2 - sqrt(32) - sqrt(32)).
64*sqrt(2) + 6569
Simplify (sqrt(13) + sqrt(39)/(sqrt(3) - (sqrt(3) + sqrt(12)/sqrt(4) + sqrt(3))) - sqrt(78)/(1*sqrt(6)))**2 - (-4 + (sqrt(13) - 3*sqrt(52))**2).
-1271/4
Simplify -4*(3 + (sqrt(1053) + 0 - (-4 + sqrt(1872)))**2).
-544 + 96*sqrt(13)
Simplify ((-2*sqrt(140) - sqrt(140))/(sqrt(28)*5) + 1)**2 + -2.
-6*sqrt(5)/5 + 4/5
Simplify (-6*(1 + sqrt(1584) + -2))**2 + 5 + sqrt(66)/(sqrt(18)/sqrt(3)) + -5.
-863*sqrt(11) + 57060
Simplify ((-4*sqrt(24))/sqrt(3) - sqrt(8))/(sqrt(36)/(sqrt(9)*6)) + 2.
-30*sqrt(2) + 2
Simplify (((2*sqrt(350))/sqrt(10))/(sqrt(700) + sqrt(700)*1))**2 + -4.
-79/20
Simplify ((sqrt(130) + sqrt(130)*-2)*5 + sqrt(130)*1*-4)/(sqrt(1210)*1 - (sqrt(40)/sqrt(4) + sqrt(10))*-2).
-3*sqrt(13)/5
Simplify ((sqrt(297) - sqrt(33) - sqrt(33))/sqrt(11)*1)**2 - ((sqrt(3) + 0 + sqrt(6)/sqrt(2))*-4)**2.
-189
Simplify -1 + (2*sqrt(896))/(sqrt(162)*-2).
-8*sqrt(7)/9 - 1
Simplify (-1*(sqrt(300) - 1*sqrt(300)) - sqrt(300) - (0 + sqrt(300))*6)**2*-4 + 2.
-58798
Simplify (sqrt(50) + (-2 + sqrt(450))**2 + sqrt(200) + sqrt(200)*-2)*-2.
-908 + 130*sqrt(2)
Simplify ((2*sqrt(119)*1 - ((sqrt(119) - (-1*sqrt(119)*6 - sqrt(119))) + sqrt(119)))/(-3*(-4*sqrt(21) + sqrt(21))/sqrt(3)))**2.
833/81
Simplify (-2*sqrt(448)*-6*-1 - ((sqrt(448) + 1)*-5 + -5*(sqrt(448) + -1)))**2.
1792
Simplify (sqrt(6)/sqrt(128) + -5)**2 - ((sqrt(90)/sqrt(3))/sqrt(10) + (sqrt(363) - (sqrt(363) + -1))).
-9*sqrt(3)/4 + 1539/64
Simplify -2*(-1*(sqrt(2450)*1)**2 + 5).
4890
Simplify sqrt(192) + 0 + (sqrt(108)/sqrt(4))/sqrt(9) + -1 + 5.
4 + 9*sqrt(3)
Simplify (4 + (1*sqrt(180)*5 - (sqrt(180) + sqrt(180) + 2 + 1)))**2.
36*sqrt(5) + 1621
Simplify 2*(((5*(sqrt(85) + 1*sqrt(85)))/sqrt(5))**2 - (sqrt(68) + 2 + -1)).
-4*sqrt(17) + 3398
Simplify ((-1*2*sqrt(65))/(sqrt(5) + sqrt(10)/(-4*sqrt(2))))**2.
832/9
Simplify sqrt(54)/sqrt(3) + 0 + 0 + sqrt(2) + (sqrt(200)*2 + (sqrt(2) - sqrt(32))*-6)**2.
4*sqrt(2) + 2888
Simplify ((sqrt(42) + sqrt(42) + sqrt(3402) + sqrt(3402)*2)/sqrt(6) - ((sqrt(7) - (sqrt(448) + 2*sqrt(448))) + sqrt(49)/(sqrt(7)*-2)))**2.
77175/4
Simplify -5 + -5 + 3 + 2 + sqrt(99).
-5 + 3*sqrt(11)
Simplify ((sqrt(350) - -2*(2*sqrt(350) + sqrt(350) - sqrt(350)))/sqrt(10))/((-5*sqrt(160))/sqrt(8)).
-sqrt(7)/2
Simplify ((1*-2*sqrt(5) + -1)**2 - sqrt(25)/(sqrt(720)*-2)) + 4.
97*sqrt(5)/24 + 25
Simplify 6*((1 + sqrt(176) + sqrt(176) - sqrt(176))*2*5)**2*-1.
-106200 - 4800*sqrt(11)
Simplify -1 + (-5*(2 + sqrt(396) + sqrt(396) + sqrt(396)))**2*2*1.
3600*sqrt(11) + 178399
Simplify ((5*(sqrt(26)/sqrt(2) - sqrt(13))*3)**2 + (sqrt(2106) - (sqrt(2106) + sqrt(2106)*-1 + sqrt(2106)))/sqrt(2))*2.
0
Simplify (-1*(-1 + 1*sqrt(468)*-4*3 + -2))**2.
432*sqrt(13) + 67401
Simplify -2 + ((-2*sqrt(12))/sqrt(4) - (sqrt(36)/sqrt(108))**2)*-1 + 4.
7/3 + 2*sqrt(3)
Simplify (-1*sqrt(76)*1*5)/(sqrt(48)/(sqrt(12) - (-1*sqrt(12) - sqrt(12)))*2).
-15*sqrt(19)/2
Simplify (sqrt(30)/(-4*sqrt(384)))**2 + (sqrt(25)/(sqrt(15)/sqrt(3)) + sqrt(5) + 6*sqrt(20)/sqrt(4))**2.
327685/1024
Simplify 1*(5*(sqrt(567) + 3) + sqrt(2800) + -3).
12 + 65*sqrt(7)
Simplify (sqrt(34)/(sqrt(2) - (sqrt(2) + sqrt(2)*1)) - (sqrt(17) + sqrt(51)/sqrt(3)*2)) + 4.
-4*sqrt(17) + 4
Simplify 4*(-3*2*sqrt(6))/sqrt(2)*6 + 2.
-144*sq
|
{
"pile_set_name": "DM Mathematics"
}
|
9))/(10/25*5)?
-1/6
(-18)/3*(-8)/(-16)
-3
Evaluate ((-468)/(-130))/(-9)*45/3.
-6
Calculate (-3)/(243/(-27))*78.
26
4193/3594*24/7
4
What is the value of ((-9)/(-42))/((-222)/(-148))?
1/7
Evaluate (-2)/8*-43*(-104)/7826.
-1/7
Calculate (-576)/(-720)*(-50)/(-56).
5/7
Calculate (-72)/(-18)*1*(-58)/(-8).
29
Calculate 6/(-92)*((-380)/15)/(-19).
-2/23
Calculate 79/((-10270)/(-156))*(-4)/(168/15).
-3/7
Calculate -5*(-2)/88*40/(-100).
-1/22
Evaluate (-488)/1220*(-10)/(-8).
-1/2
Evaluate (-3)/(105/(-10))*12/12.
2/7
Evaluate (-5475)/(-1460)*(-2)/(-30).
1/4
Evaluate (10/80*-10)/((-25)/40).
2
57/((-855)/25)*-1*(-36)/(-10)
6
Calculate ((-2)/6)/(186*(-18)/(-324)).
-1/31
Evaluate (4770/(-300))/(-53)*(5/42)/1.
1/28
Evaluate (-4)/(64/(-56))*54/(-9).
-21
Calculate ((-16834)/(-2215))/(5/(-25)).
-38
Evaluate ((-456)/80)/((12/60)/(2/12)).
-19/4
Evaluate ((-72)/20)/(8/(-100)*5).
9
(-2)/(-16)*-1*264/(-132)
1/4
What is the value of 10/120*-6*24?
-12
Calculate (-245)/98*(-1)/5*(-15)/5.
-3/2
What is -3*10/120*24?
-6
3/(36/(-16))*3
-4
3935/(-6296)*(-12)/5
3/2
What is ((-2)/7)/(3791/1561)?
-2/17
What is (-159)/133348*-37*(-16)/(-2)?
6/17
Evaluate (-2)/((4*(-60)/4)/(116/(-87))).
-2/45
(-2)/((1239/236)/((-6)/(-16)))
-1/7
Evaluate 69*((-1)/(-15))/((-444)/(-740))*3.
23
Evaluate (-5)/((-105)/28*4).
1/3
(912/(-95))/((-48)/(-80))
-16
What is the value of (40*15/180)/(4/6)?
5
Evaluate ((-75)/5)/(-60)*1*-2*1.
-1/2
Evaluate (8/(-40)*40/(-28))/1.
2/7
Calculate (-1)/2*((-24)/(-48))/((-3)/12).
1
What is the value of 21/((-12)/(-4))*(-4)/(-24)*-6?
-7
Evaluate (9/6)/(282/1504).
8
Evaluate (6/(-8))/((-1050)/(-560))*-2.
4/5
((-3)/30)/(108/(-180))*342/19
3
Evaluate 15015/3861*36/4.
35
What is 378/4*2086/7301?
27
What is the value of (-18)/(-15)*50/(-15)?
-4
((-28)/420)/(8/((-112)/(-21)))
-2/45
Evaluate ((-4)/6)/(1284/1070)*(-8)/10.
4/9
Calculate (-12)/(-26)*(-689)/(-53).
6
Evaluate 56/(-4)*((-6)/(-90))/(12/(-30)).
7/3
(36/(-105))/(((-1188)/(-240))/33)
-16/7
(-1448)/1448*23/(1/(-1))
23
What is the value of (78/(-104))/(1*-3)*4/14?
1/14
What is the value of ((-504)/868*-31)/((-4)/(-2))?
9
(-17)/(-2295)*-9*3
-1/5
What is the value of (-5377)/(-849)*(-12)/(-266)?
2/7
((-20)/(2200/33)*5)/(2/4)
-3
What is the value of (-4)/((-56)/(-5))*(-14)/10?
1/2
1758/4395*40/6
8/3
What is the value of (28/12)/(((-1591)/222)/(-43))?
14
Evaluate (-6)/8*1976/17043.
-2/23
What is the value of 1/48*20*(-8)/(-10)?
1/3
(-28)/(-8)*-20*16/560
-2
What is the value of ((210/85)/14)/((-21)/(-14))?
2/17
What is the value of (112/(-20))/(-4)*300/300?
7/5
Evaluate 16/(-4)*(-43)/(1892/(-330)).
-30
Evaluate (((-13)/(-3))/13)/(((-6)/(-4))/1).
2/9
Calculate (86/(-129))/((-14)/(-3)).
-1/7
Calculate 2/(-42)*5*(-32)/4480*24.
2/49
Evaluate (-28)/8*(-50)/(-15)*(-30)/(-35).
-10
What is the value of -1*(20/(-3120)*12)/(1*-1)?
-1/13
Calculate ((-2)/(-6))/((-2093)/182).
-2/69
2*(-18)/((-288)/104)
13
What is (-12)/8*(1/(-4))/((-1)/12)?
-9/2
What is the value of 147/777*2/(-7)?
-2/37
What is the value of 23/(-4140)*-75*1/(2/(-16))?
-10/3
Calculate 24/108*-2*-2.
8/9
What is the value of (8*4/96)/(90/(-54))?
-1/5
Evaluate (8/(-3))/((-5520)/6210).
3
What is the value of (1710/(-30))/(-19)*2/(-8)*2?
-3/2
What is the value of (40/21)/((-36)/5796*-46)?
20/3
What is the value of 18/(-2)*(-4158)/2673?
14
What is the value of 285/(-133)*1*-7?
15
What is the value of (-1)/6*(189/(-105))/(15/275)?
11/2
(266/532)/((-14)/(-48))
12/7
(40/(-10)*-3)/((-30)/(-12)*2)
12/5
Evaluate 6*-1*7/(-28)*(-4)/129.
-2/43
What is the value of 1/(-2)*((-12)/(-16))/(1900/800)?
-3/19
Calculate ((-4)/54)/(644/(-966)).
1/9
Evaluate (-36)/(-1)*((-2146)/(-111))/(-58).
-12
What is (-2)/(-3)*183/61?
2
Evaluate 4*-49*(-87)/(-16240)*4/(-3).
7/5
Calculate (-980)/280*40/(-14).
10
What is the value of ((-2)/(-4))/((-104)/16*1)?
-1/13
(((-2)/28)/(6/(-7)))/((-3)/42)
-7/6
What is the value of 3*(-4)/56*(-4)/(-6)?
-1/7
What is (((-1)/(-1))/(-28))/((-987)/7896)?
2/7
Evaluate (3134/(-10969))/((-1)/(-98)).
-28
Evaluate 1134/1944*4/294*-2.
-1/63
What is the value of ((-10)/(-4)*39/195)/(42/(-60))?
-5/7
Calculate (((-324)/(-8))/(-9))/(11/(154/35)).
-9/5
Calculate ((-36)/(-14)*2)/(1662/(-5817)).
-18
(28/84)/((-20)/72)*10
-12
What is the value of 28/120*(8424/336)/39?
3/20
1908/(-636)*(14/(-6))/1
7
What is the value of (320/(-200))/(8/(-50))?
10
(1*-7)/((-8)/(-208)*13)
-14
Evaluate 288/(-9)*(-5)/(-10).
-16
Calculate 364/65*1020/272.
21
What is the value of (-84)/(-10)*1966/6881?
12/5
What is ((-3)/(-45)*-3)/(-1)?
1/5
Evaluate 552/(-32)*(-9)/(27/4).
23
Evaluate ((114/(-6))/(-152))/(5*2/(-24)).
-3/10
What is the value of (2*-2)/((-9)/9)?
4
What is the value of ((-246)/(-287))/((-6)/56*2)?
-4
What is the value of 9/2*((-2)/10)/(276/230)?
-3/4
What is the value of (-70)/25*270/63?
-12
Calculate (4/(-112))/(4/20)*8/1.
-10/7
What is 4/(-10)*(2/8)/((-78)/8580)?
11
5616/416*2/(-9)
-3
What is 270/(-60)*(-44)/(-6)?
-33
What is 1*11/132*(-39)/2*-8?
13
7444/9305*(-20)/14
-8/7
What is ((-27)/12)/((-49)/(-392))?
-18
Evaluate (-1*(-4)/4)/((-605)/(-330)).
6/11
Evaluate (3/((-27)/60))/((-1050)/(-225)).
-10/7
Calculate ((-10)/6)/(4950/(-132)).
2/45
Evaluate 20/20*180/9.
20
Calculate ((-10)/30)/((-66)/(-108)).
-6/11
What is (160/(-56))/(4/(-7)*3/(-6))?
-10
(-4*(-5)/30)/(6/(-54))
-6
Evaluate 2/(((-24)/3)/((-14)/(-385)*11)).
-1/10
Evaluate ((-3)/(-45))/((-6)/20).
-2/9
(6/315)/(((-12)/20)/(-3))
2/21
What is the value of 80/((-960)/9)*1/((-2)/72)?
27
(-50*35/(-560))/(25/(-20))
-5/2
Calculate 1*6*(840/80)/(9/4).
28
Calculate ((-522)/348)/((-18)/(-32)).
-8/3
925/3700*22*(-8)/(-2)
22
Calculate 24/12*4*(-35)/(-56).
5
((6/16)/((-3)/12))/(22/44)
-3
Evaluate (-3)/(-126)*49*6.
7
Calculate (-10)/8*((-44)/55)/(-2).
-1/2
What is ((-1764)/14)/(-21)*-1?
-6
What is the value of (506/(-23))/(-66)*-39?
-13
(20/770)/(53/(-742))
-4/11
Evaluate (4/(-16))/(20/8*(-4)/(-16)).
-2/5
4/(-78)*4/((-32)/(-36))
-3/13
Evaluate (752/(-96))/47*4.
-2/3
Evaluate (-5)/(-6)*3105/575*4.
18
Calculate (-45)/(-20)*-2*(-22)/(-33).
-3
Evaluate ((-10)/(-140))/(7/(343/14)).
1/4
What is the value of (-48)/10*(-5)/3?
8
(21/(84/40))/(-2*5/(-12))
12
What is (3/2)/((-30)/(-180))?
9
Calculate (1*-6)/(-2)*(-56)/((-10584)/(-1449)).
-23
Evaluate (-4)/10*10*6/3.
-8
Evaluate ((-7)/(140/(-16)))/(-1*77/55).
-4/7
Evaluate (-18640)/14912*12/(-14)*7/(-55).
-3/22
8/((-120)/9)*(-51)/((-2295)/(-1950))
26
What is ((-19)/1)/(354/236*6/9)?
-19
Calculate ((84/(-18))/14)/(1665/(-270)).
2/37
What is (-3*(-2)/(-2))/((-20)/10*2)?
3/4
(54/(-63))/(12/140)
-10
Calculate (-6)/20*5725/(-12595).
3/22
Evaluate -1*((-195)/(-26))/3*52/10.
-13
8/(-4)*(-37)/(666/189)
21
What is (-27)/(567/(-21))*-8?
-8
Calculate (-171)/12*428/(-963).
19/3
26/(-455)*5*-42
12
(372/(-310))/((-6)/15)
3
Evaluate (1351/386)/(9/(-3)).
-7/6
What is the value of ((-18)/12)/(1/(-36)*-9)?
-6
Evaluate ((-11895)/(-49959))/((-3)/14).
-10/9
What is the value of (3/132*-10)/1*8/(-20)?
1/11
((-42)/(-21))/((7/(-1))/(-49))
14
What is the value of (-3*27/((-3402)/4))/(-2)?
-1/21
What is the value of (96/(-60))/((-10)/25)?
4
What is the value of ((1768/(-2392))/17)/(-1*1/(-1))?
-1/23
Calculate ((-2)/5)/((-31)/(5580/48)).
3/2
((-6)/(-63))/(((-138)/805)/(4/10))
-2/9
Calculate 12/(8/2*((-22)/4)/11).
-6
What is 16*7/924*(-9)/(-12)*-4?
-4/11
What is 3/(-1)*((-220)/(-66))/10?
-1
(-1)/2*15528/36879
-4/19
What is the value of (-3*(-16)/168)/(-2)*3?
-3/7
Evaluate ((-414)/230)/(((-80)/8)/10).
9/5
What is (4872/580)/((-72)/(-30))?
7/2
What is the value of (-3)/(-7)*(-2254)/(-1610)?
3/5
What is the value of (4/(-28)*196/56)/(2/12)?
-3
What is the value of (-9)/((-180)/25)*-6*9/135?
-1/2
What is ((-90)/27)/((8/(-36))/(4/6))?
10
Evaluate (3132/(-609))/((-2)/(-14)*-2).
18
((-120)/380)/((-11)/1045)
30
Calculate (-3834)/1065*10/(-9).
4
Calculate (31*27/2232)/((-1)/(-12)).
9/2
Evaluate ((-20)/(-80))/(8*9/576).
2
What is the value of (18/(-84))/((-81)/(-432))?
-8/7
34/17*1/2*8/(-44)
-2/11
(21/(-18)*-3)/(37/74)
7
Evaluate ((-3375)/9)/(-15)*((-84)/(-245))/(-6).
-10/7
What is -2*(1463/(-14))/(-11)*-1?
19
What is the value of (-150)/(-25)*(-22)/1012?
-3/23
(-12)/(-15)*(-95)/228
-1/3
(0/(-13))/6*-1
0
Evaluate (-1715)/98*-2*(-6)/20.
-21/2
Calculate 14/(-3)*1965/(-917).
10
Evaluate (24/10)/(-3)*(1560/(-464))/(-39).
-2/29
What is the value of -8*22/((-4
|
{
"pile_set_name": "DM Mathematics"
}
|
**(-4/3)/(a*a/((a/(a*a**(-1/8)*a*a)*a)/a)*a)*(a**(-1)/a)**(-1/42)*a**3*a/(a**1/a)*(((a*a**0)/a)/a)/a**(1/5) assuming a is positive.
a**(-941/280)
Simplify (c**10)**(-15/8)/(c**(-33)/c*c*(c*c**(2/59))/c) assuming c is positive.
c**(3355/236)
Simplify (t/t**(-1/4)*t/t**(-2/3))**(2/83)*(((t*t**(-2))/t)/t)/t*t**3*(t/(t**2/t))**29 assuming t is positive.
t**(-463/498)
Simplify (((w*(((w/(w*w/(w**(-2)/w)))/w)/w)/w)**49*(((w/w**(-5))/w*w)/w)/w*w**(-1/4)*w*w)**(-4/5))**(-29/3) assuming w is positive.
w**(-33437/15)
Simplify (l*l*(l*l/((l*(l*(l/l**(-1/6))/l)/l)/l))/l*l**6*(l**(-1)/l)**(-50))/((l*l/((l**(-1/8)/l*l)/l))**(-3/5))**(3/8) assuming l is positive.
l**(21031/192)
Simplify ((((b*b**(2/5)/b)/b)/b*b)/b**(-5/7))**(19/3)/(b**(-11)*b*b**(-8))**(1/6) assuming b is positive.
b**(391/105)
Simplify ((m**0)**(-7/10)*(m/(m/(m*m/m**(-2/5))*m))**(-36))/(((m*m*m/m**(2/13)*m)/(m**(2/11)*m))/((m*m/m**(5/2))/m**(2/9))) assuming m is positive.
m**(-692233/12870)
Simplify (x/x**(5/7)*x/x**9*(x*x**(1/11))/(x*x/((x/(x/(x*x**18*x)))/x)))**21 assuming x is positive.
x**(2397/11)
Simplify ((d/(d**(-4/5)*d))**(-1/11))**(-3/19)*((d*d**(-1)*d)**(-2/81))**(-29) assuming d is positive.
d**(61582/84645)
Simplify ((((r**(-1/2))**(39/4))**(1/3))**(-1/3))**(19/4) assuming r is positive.
r**(247/96)
Simplify ((x*x/(x**(-14)/x)*x)/((x/(x/x**3))/x)*(x/(x*x**(1/4)))**(13/4))**(-1/5) assuming x is positive.
x**(-243/80)
Simplify (((f/f**0)/f*f**(-2/5))/(f**(-2/9)*f**(-3/8)))/(f**(2/17)/f**(-1/3))**(19/5) assuming f is positive.
f**(-9281/6120)
Simplify ((c**(1/5))**(-46)*(c**(-2/13)*c)**(-11/2))**(-23/3) assuming c is positive.
c**(41423/390)
Simplify n*n**(2/3)/n*n*n**0*n*(n**(-1))**(-35/3)*((n/(n/(n/(n**(1/4)*n))))/n*n**(1/2))/((n*n/(n*n**(3/4)))/(n*n**0*n)) assuming n is positive.
n**(46/3)
Simplify (k*k*k**38*k*k*(k**(-1)*k)/k*k**(-6/11)/(k/k**(-3/16)))**(-39) assuming k is positive.
k**(-269529/176)
Simplify ((u/(u/(u**(-2/7)*u)))**(-2/73)*(u**(2/7))**15)**(44/5) assuming u is positive.
u**(19184/511)
Simplify ((((c*c*c**4/c*c)/c*c)**(-2/143)*(c/c**(-3))**(-19))**(-19/5))**(-36) assuming c is positive.
c**(-1488384/143)
Simplify (w*w**2)**(2/13)/(w*w/(((w**(-2/21)/w)/w)/w)*w**9)*(w*w*w/w**(-1)*w)**(-38)/(w**1*(w/(w/(w*w**(-2/9))))/w) assuming w is positive.
w**(-167413/819)
Simplify ((s*s**(-33))/((s/(s/(s/((s/(s**(2/31)*s))/s)))*s*s)/s)*s/(s/s**(1/8))*(s**(5/9)/s)/s)**(5/3) assuming s is positive.
s**(-406045/6696)
Simplify ((o**2)**(5/3)*(o/(o*(o*o**6)/o))/o*o**(-2/3))/(((o*o/(o**(1/19)*o))/o*o)/(o*o*o**(-9)))**(-1/50) assuming o is positive.
o**(-11897/2850)
Simplify ((g/(((g**(-9)/g)/g)/g*g)*g*(g/(g**(-1/7)*g))/g*(((g*g*g**(-1/2)*g)/g)/g)**13)**(-2/47))**(25/4) assuming g is positive.
g**(-6525/1316)
Simplify (m**(3/8)*m*m/m**3)**(1/6)*(m**(2/15)/(m*m**(2/7)*m))**(-14) assuming m is positive.
m**(7207/240)
Simplify ((l**3/l)/((l/(l*l*(l*l/(l*l**(2/41)*l)*l)/l))/l)*((l/(l*l*l**(-2/11)*l*l))/l)**(15/8))**(-2/7) assuming l is positive.
l**(5787/6314)
Simplify (((q/q**(1/11))/(q**3/q))/((q**0*q)/(q*q*q**(-2/15))))**(-3/20) assuming q is positive.
q**(37/1100)
Simplify ((x**3/x*x)/(x/(x**22/x)*x)*(x**(2/3)/x*x)/x**21)**(2/53) assuming x is positive.
x**(10/159)
Simplify ((q*q**(1/2)*q*(q**(-3)*q)/q*q/q**(3/4)*q**3/q)**(1/18))**(2/5) assuming q is positive.
q**(7/180)
Simplify ((u*(u*(u*u**1)/u*u)/u)/u)**14/((u*u*u**(-6))/u**(4/7))*u/((u**4/u)/u)*u*u*u*u**(-7)*u*u/(u*u**5*u*u)*u*u*u**(2/17) assuming u is positive.
u**(2819/119)
Simplify ((v**(-5)/(v*v**(3/7)))/(v/v**(-1))**(-1/40))/((v**(-4)/v*v)/v*(v**(2/3)/v*v)/v*(v*v**(-6)*v)/(v/v**(-4/3))) assuming v is positive.
v**(2221/420)
Simplify (u/(u**(1/5)/u))**(-1/8)*(u*u**(1/4)*u)/u*u**(-2/67)*u assuming u is positive.
u**(5347/2680)
Simplify (b**0)**(-45/7)/(b**(2/5))**22*(b*b*b/b**0)**(-2/11)*b/b**6*b*b**5*b assuming b is positive.
b**(-404/55)
Simplify (((q*q*q*q**(-1/4)*q)/(q**5/q))/(((q*((q*q*(q**(2/3)*q)/q*q)/q)/q*q)/q)/q**4))/(q*q/((q*q**10)/q)*q**(-8/7))**(-5/4) assuming q is positive.
q**(-869/84)
Simplify (h/(h/(h**(-1/4)/h)*h))**(-17)*(h*h**(-1/2))**(1/51)*((h**1*h)**(1/25))**(4/21) assuming h is positive.
h**(455473/11900)
Simplify (q*q/q**(2/21)*q**(1/6)*q**(-4)*q**5)/(q**(1/7)*q/q**(-4)*q)**50 assuming q is positive.
q**(-4257/14)
Simplify (u*(((u/(u**(-2/7)*u)*u*u)/u)/u)/u*u*u**(-1))/((u*u**(-1/3))/u)**(-2/29)*(u**1*u**(-1/4))/(u**(-3)/u*(u*u/(u**(-2)*u*u))/u) assuming u is positive.
u**(9775/2436)
Simplify ((m/(m/(m*m**(-1/4))*m))**(2/27)*m*m/((m**2/m*m)/m)*m*m*m**(-5))/((m/(m*(m/m**(3/7))/m))**41)**(-3/16) assuming m is positive.
m**(3859/3024)
Simplify l**(3/11)*l**(-2)*l*l**13*l*l*l**(38/7)*l*l assuming l is positive.
l**(1671/77)
Simplify d**(-4/7)*d**(-2)*d**(-8)*d**3*((((d**5/d)/d)/d)/(d*d*d*d**(2/11)))/(d*d**2/d)**(-21) assuming d is positive.
d**(2560/77)
Simplify (((b/(b*b/(b*b**(-19))))/b)**(2/11)/(b**(-34)*b**(-2/11)))**22 assuming b is positive.
b**672
Simplify ((n*n/(n*n*(n/(n**(-4/5)*n))/n))/((n**(1/3)/n)/n))**17/(n/(n/n**(-8))*n*n**(-2/13))**(-15) assuming n is positive.
n**(-14737/195)
Simplify (((r*r**9)/((r/(r**2*r))/r)*(r/(r**(-2)*r*r))/r**1)**(2/71))**(1/4) assuming r is positive.
r**(13/142)
Simplify (x**(-1/14)*x**(-22)/x*x**(-7/3)/(x/(x**(-3/10)/x)))**(-44) assuming x is positive.
x**(127996/105)
Simplify ((q*(q**(-30)/q)/q*q*q/q**26)/(q/((q**20/q)/q)*q)**37)**(-8/3) assuming q is positive.
q**(-1432)
Simplify (((z/z**(1/5))/(z/(z/z**(-2/15))))/((z/((z**(1/13)*z)/z))/z**5))/(((z*z**0)/z)/(z/(z*((z/(z/(z**(-1)*z*z)))/z)/z)))**(-24) assuming z is positive.
z**(-3703/195)
Simplify (((x**(2/105)/(x*x*x/((x/x**(2/13))/x)))**(-49))**49)**(2/53) assuming x is positive.
x**(2935394/10335)
Simplify (((u/(u/(u**7/u)))/u**3)/(u/u**(-1/2))**(-4/35))/((u*u**(-3/4))/u**(-3/5)*u**7/(u*u**(-2/7))) assuming u is positive.
u**(-111/28)
Simplify u/(u/(u/u**(-1/5)))*u**(-2/15)*u**7/u**(-2/3)*((u**(-2/5)/u)/(u*u**(-1/2)*u))/(u/(((u**(-3/8)*u)/u)/u)*u**(-1/8)) assuming u is positive.
u**(43/12)
Simplify (((h**(-2))**(5/6)/(h*h/((h*h**(-8/9)/h)/h*h)*h**(-10)/h*h*h))**48)**(-3/4) assuming h is positive.
h**(-160)
Simplify (w/(w**1*w))**35*w**(2/15)/w**(-3/5)*(w**2/(w*w*w**(2/11)))/((w**3/w*w)/((w/(w**(4/5)/w))/w)) assuming w is positive.
w**(-6146/165)
Simplify ((((z*z/(z*z**2))/z)/z)**(4/19))**48*(z/(((((z**(2/5)*z)/z)/z)/z)/z)*z)**(1/21)/((z/((z*z/(z**(-2/19)/z))/z))/z**7) assuming z is positive.
z**(-43873/1995)
Simplify ((m/m**(-2/7))/((m*m/((m**(1/3)/m)/m)*m)/m))**(1/38)*(m/m**(2/9)*m/(m**(-1/5)*m))/(m**0)**(-29) assuming m is positive.
m**(5477/5985)
Simplify ((v**(5/9)/v**8)**(-26/5))**(2/113) assuming v is positive.
v**(3484/5085)
Simplify ((i/i**(2/5))**(6/5))**(-1/16)*((i**(2/5)/i)/i**6)/(i**(-6)/(i**3*i)) assuming i is positive.
i**(671/200)
Simplify (w/(w/(w/w**(2/7)))*w*w**(-2/11))**(-33)/(w**(-2)*(w/(w*w**(-6)))/w*w*(w/w**(-4)*w)/w*w/(w/(w*(w*w**0/w*w)/w))) assuming w is positive.
w**(-424/7)
Simplify ((o/(o/o**4))**14/(o*o**(4/5)*o*o**(3/5)))**16 assuming o is positive.
o**(4208/5)
Simplify ((g**(2/7)*g)**(-50)/(g*g**0*g*g)**(2/9))/((g**(-1/2)/g)**50*g**(-2/3)/(g*g/(g/g**(-6)))) assuming g is positive.
g**(40/7)
Simplify ((l**0*l)**(-17/2))**(2/109)/(l**5*l*l*l*l/l**4*(l/(l/(l*l*l/l**(-5/4)*l)))/((l/(l*l/(l*l*(l*l/(l**4/l*l))/l)*l)*l*l)/l*l*l*l)) assuming l is positive.
l**(-4101/436)
Simplify ((h**(2/11)/h)**(-19)/(h**(-1/6)/(h/h**(-8))))**(-38) assuming h is positive.
h**(-30989/33)
Simplify (v/(v**4/v))/(v*v**(-2/5)/v)*(v*v/(v/(v/(v**0*v*v)))*v)**(-8/7)*v**(-1/8)/(v/(v**2/v))*(v/v**(1/3))**(-2/15) assuming v is positive.
v**(-7451/2520)
Simplify (t*t/((t/(t/t**(1/5))*t)/t)*t**4)**(1/10)/((t*t**(-4))/t**(-2/9))**(3/4) assuming t is positive.
t**(799/300)
Simplify (n/(n*n**(-1/9))*n**(-43)*n**(-4/7)*n*n**(2/11)*n*n)**(-10/7) assuming n is positive.
n**(279130/4851)
Simplify ((y*y**1*y*(y*y**(1/5))/y)/((y**(-1)/y)/((y/(y*y*y**5/y*y)*y)/y)))**(7/6) assuming y is positive.
y**(-14/15)
Simplify ((((r*r/r**(-32))/r*r)/r**(1/7))/(r*r*r**23*r*r/(r**(23/4)/r)))**(-6/7) assuming r is positive.
r**(-975/98)
Simplify (w/(w*(w**(-6)/w)/w)*w/w**(4/3))/(w**(-1/6)*w/w**(1/5))*((w**(-1/4)*w)**32)**(-8) assuming w is positive.
w**(-5549/30)
Simplify ((g**(2/25)/g**(-4))**(-10/17))**4 assuming g is positive.
g**(
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let t = u - 57. Let k(h) = 2*h**2 - 15*h - 234. Let r be k(21). Calculate the highest common divisor of t and r.
37
Let d be (-7)/14 + (-22)/(-4). Suppose d*t = -16 + 111. Let j be (-6)/(-4) - (-2630)/20. Calculate the highest common divisor of j and t.
19
Suppose -7*u - 55 = -8*u. Let y = 78 - u. What is the greatest common divisor of y and 46?
23
Let z(s) = -7*s + 241. Let x be z(32). Suppose 81 = 4*d + 3*w - 1184, 975 = 3*d - 3*w. Let n = d - 167. Calculate the highest common factor of x and n.
17
Let b(m) = -4*m + 35. Let i be b(7). Suppose -i*y + 812 = -0*y. What is the highest common factor of 29 and y?
29
Let p be -60*(-20)/(-12)*(-5)/25. Suppose -d + 16 = o, -2*d + d = -3*o + 64. What is the highest common factor of p and o?
20
Suppose -4*z + 53 = b, -b + z + 29 + 9 = 0. Suppose 2*x + x - 728 = -2*d, 1250 = 5*x - 4*d. What is the highest common factor of b and x?
41
Let u = -29 + 41. Suppose -2 = 4*x - 14, 3 = 3*t - 2*x. Suppose -t*c - 2*c = -40. What is the highest common factor of c and u?
4
Let g = 101 - 17. Suppose -2*x - d + 13 = -x, -5*x = 3*d - 63. What is the greatest common factor of x and g?
12
Let t = -1 + 17. Let u(f) = -f**3 + 16*f**2 + 21*f - 13. Let r be u(17). Let g = r - t. Calculate the greatest common factor of g and 351.
39
Let m be (0/1)/3 + (-80)/(-2). Suppose -m = -2*g - 3*g. What is the greatest common divisor of 64 and g?
8
Suppose 0*v + 2*o + 46 = -v, -3*v - 4*o - 142 = 0. Let n be (-160)/v*5/2. Calculate the highest common divisor of n and 20.
4
Let k(s) = -s**3 + 5*s**2 - 9*s - 1. Let l be k(3). Let i = 70 - l. What is the greatest common divisor of i and 10?
10
Let a be -3 - (-14 - 2)/2. Suppose a*q + 3*k = 35, 4*q - 28 = -2*k + 3*k. Calculate the highest common divisor of 1 and q.
1
Suppose 24*v - 22855 = 12233. Calculate the greatest common factor of 68 and v.
34
Let m = -62 + 39. Let v = -17 - m. Calculate the highest common factor of v and 48.
6
Let k(h) = 3*h**2 + 3*h - 1. Suppose a + 2*a + 13 = -4*s, -2*a = 5*s + 18. Let c be k(a). Calculate the greatest common factor of 20 and c.
5
Suppose a + 12 = l, -3*l + 6*l - 50 = -4*a. What is the highest common factor of 63 and l?
7
Let y be 21/(-9)*3 + 23. Let x be (-158 + 2)/(0 + -1). Suppose 100 = 2*m - x. What is the highest common factor of m and y?
16
Let x(k) = -3*k**3 - k**2 - 2*k + 1. Let l be x(2). Let t = 17 + l. Let p = -6 - t. What is the greatest common divisor of 16 and p?
8
Let g be (98/35)/((-1355)/(-225) - 6). Calculate the highest common factor of g and 5166.
126
Let l be (-102)/16 - 6/(-16). Let i be (-8)/l*(0 - -21). What is the highest common divisor of i and 28?
28
Let i(o) = o**2 + o - 3. Let j be i(-4). Let b = 33 - j. Suppose -5*q + q - 2*g + 12 = 0, 0 = -q - 2*g + 3. What is the highest common divisor of q and b?
3
Let m(h) = 3*h**2 - 21*h - 26. Let c be m(10). What is the greatest common factor of c and 160?
32
Let x(p) = 2*p**2 + 9*p + 30. Let d be x(-6). Calculate the highest common factor of d and 384.
48
Let y(d) = -7*d**3 + 3*d**2 + d - 1. Let m be y(-1). Suppose 0 = -w - 3 + m. Let z be -4*(w - 1)/(-2). What is the greatest common factor of z and 8?
8
Let d(y) = -7*y + 5. Let q be d(-4). Suppose -11 = -t - 2*p, -3*t - p - 2*p = -q. Calculate the greatest common divisor of t and 11.
11
Let x = 45 + -27. Suppose -l + 2*l - 308 = 0. Let f be (-36)/306 - l/(-17). What is the highest common factor of x and f?
18
Let u be 45510/35 - (-4)/(-14). Suppose 0*x - u = -4*x. Suppose 4*n - g + 6*g = x, 3*n - 2*g = 215. Calculate the highest common factor of 15 and n.
15
Suppose 81 = c + 12. Suppose 36 = g - c. Suppose g = r + 30. Calculate the greatest common factor of 30 and r.
15
Let j = -781 + 907. Suppose -5*n = -25 - 45. What is the greatest common divisor of j and n?
14
Let z = 6 + 4. Suppose 3*x + 2*i - 43 = 0, -1 = -x - 4*i + z. Let u(p) = 4*p - 1. Let n be u(1). Calculate the highest common divisor of x and n.
3
Let n(k) = 10*k**2 - k - 1. Let q(y) = 0*y - 5*y - 9 + y + 3*y. Let g be q(-8). Let a be n(g). What is the greatest common factor of 10 and a?
10
Suppose -3*b + 23 = 5*a, a - 8 = -a. Let w = b + 1. Let q be ((-52)/(-6))/w*18. Calculate the highest common divisor of 13 and q.
13
Suppose 0 = 5*z + 16 - 76. Let f be 18/z*6/9. What is the highest common divisor of f and 8?
1
Suppose 14*g - 646 = -142. Let r be 16*-6*1/(-4). Calculate the greatest common divisor of g and r.
12
Let p be (42/(-56))/((-1)/4). Suppose -11 = -p*z + 13. Suppose -z*s = -12*s + 252. Calculate the highest common factor of 9 and s.
9
Suppose 21*l + 1771 = 32*l. What is the greatest common divisor of l and 7?
7
Suppose -197 = -5*j - 2*l + 1398, 0 = -2*j - 2*l + 632. Let k be j/4 + (-2)/8. What is the greatest common factor of k and 16?
16
Suppose 6*i + 13 + 17 = 0. Let g(x) = -x**2 - 4*x + 15. Let s be g(i). Calculate the greatest common divisor of s and 15.
5
Let f(q) = q**2 + 3*q + 2. Let o be f(-2). Suppose -4*y + 39 - 11 = o. What is the greatest common factor of y and 56?
7
Let i(o) = 5*o**2 + 12*o - 53. Let r be i(10). What is the highest common divisor of r and 21?
21
Let j = 12 + -4. Calculate the greatest common factor of 104 and j.
8
Let w(t) = -3*t. Let n be w(-1). Suppose -n*v + 77 = 5. Let u be (-2)/(-4) + 852/v. Calculate the highest common factor of 54 and u.
18
Let f(x) = x**2 + x. Let g be f(1). Suppose g*o + 10 = -3*o. Let w = o - -41. Calculate the greatest common divisor of 13 and w.
13
Let r be ((-48)/30)/(2/(-20)). Let h be 1/(-4) - (-484)/r. Suppose -5*o + h = -15. What is the highest common factor of o and 72?
9
Let q be -12*((-484)/66 - 2*-1). Calculate the greatest common factor of 48 and q.
16
Suppose 10*k + 22*k = 320. What is the greatest common factor of 405 and k?
5
Let m = -16 + 13. Let f be ((-8)/m - 3)*-18. Suppose y - f*y - c = -133, 4*y + 5*c = 119. What is the highest common divisor of 65 and y?
13
Let b(f) = -216*f + 162. Let x be b(-15). What is the highest common factor of 42 and x?
42
Let x = 757 - 756. Let h = 0 + 17. Let d = h + x. What is the greatest common factor of 18 and d?
18
Let l be 1857/13 - 100/(-650). What is the highest common factor of 132 and l?
11
Let f = 14 - 12. Suppose 2 = -3*p - f*a + 22, 5*p - 4*a - 48 = 0. Let d(b) = -b**2 + 8*b + 2. Let m be d(p). What is the highest common divisor of m and 10?
2
Suppose -180 + 855 = 5*p. What is the highest common divisor of 150 and p?
15
Suppose -9*c + 2500 = -4*c. Calculate the highest common divisor of 20 and c.
20
Let u be (4 + 4 + 4)*1/2. What is the highest common divisor of u and 33?
3
Let n(r) = -23*r**3 + r**2 - r - 1. Suppose 4*o = 34 - 38. Let h be n(o). Calculate the greatest common divisor of 3 and h.
3
Let d be 1*3 - (-5 - -2). Let f be 3/(-9) - (-242)/d. Let b = -3 - -7. Calculate the highest common factor of f and b.
4
Let l(a) = -a**2 - 30*a + 33. Let q be l(-31). Let y(i) = -2*i + 2. Let w be y(-10). What is the highest common divisor of q and w?
2
Suppose 0 = -h - k + 56, -h + 81 = -k + 35. What is the highest common factor of h and 697?
17
Let l(s) = s**2 + 20. Let n be l(0). Suppose d - n = -2*i, -d + 39 = 5*i - 14. Let j = 396 + -275. What is the greatest common divisor of j and i?
11
Suppose 0 = 2*w + 79 - 55. Let m be 3/(-4*(-1 + (-9)/w)). Calculate the highest common factor of 24 and m.
3
Let c be 0/(((-2)/(-5))/((-2)/(-5))). Suppose -4*g + 72 + 132 = c. Calculate the highest common divisor of g and 34.
17
Let f(p) = -p**3 - 5*p**2. Let z be f(-5). Let u be -2 - 1317/(-3) - (-3 - z). What is the highest common factor of u and 40?
40
Let u(y) = 13*y**2 + y - 2. Let v = 21 - 13. Let o(w) = w - 10. Let m be o(v). Let h be u(m). Calculate the greatest common divisor of 12 and h.
12
Let n(r) = -2*r + 1. Let g be n(-2). Suppose 0 = 4*d - g*d. Suppose d*t = -j - 2*t + 15, 5*j = -2*t + 59. Calculate the highest common factor of 33 and j.
11
Let o = 733 + -697. Calculate the highest common factor of o and 126.
18
Let t be 2/(-6)*(-2 + -4). Let s = t + 143. Calculate the highest common divisor of 29 and s.
29
Let d(h) = 3 - 1 - 1 - 3 + 2*h. Let r be d(-4). Let z = 29 + r. What is the greatest common factor of 19 and z?
19
Let a = 72 + -42. Suppose 5*r = 4*u + 120, -14 = 4*u + 6. What is the greatest common factor of a and r?
10
Let h be
|
{
"pile_set_name": "DM Mathematics"
}
|
-306.53 - 0.0419?
-306.5719
What is 1.250243293 - 2?
-0.749756707
Calculate 139.79639 + 0.002.
139.79839
Put together 0.46783 and 12314.
12314.46783
What is -145.04332 less than -4921?
-4775.95668
Total of -44 and -1.0268752.
-45.0268752
Put together 0.03 and 4390288.
4390288.03
31.8443255 - -58
89.8443255
Add 3 and -36999.149.
-36996.149
What is the distance between -181568 and 121?
181689
Add together -55 and 3814.3091.
3759.3091
Put together -5 and 331814.912.
331809.912
What is the distance between 62850205745 and 3?
62850205742
What is 2.1 - 187.00942?
-184.90942
What is -74600507 minus -4.5?
-74600502.5
Add -6 and 254621.
254615
Work out 0.0719312 - -16.
16.0719312
Put together -17261534 and 0.02.
-17261533.98
Work out -5165848 + 0.25.
-5165847.75
What is 1 plus -0.207177889?
0.792822111
What is the difference between 75495.7305 and -9?
75504.7305
Sum 16765994 and 3.4.
16765997.4
Total of 38.5 and 4349738.
4349776.5
-784337 + -23.5
-784360.5
Sum 0.081525297 and 0.2.
0.281525297
What is 81196 plus -6.849?
81189.151
Calculate 10849206 + -3.9.
10849202.1
Calculate 0.0703 - -21963.
21963.0703
Sum -9143 and -1.476452.
-9144.476452
What is -24059688 plus 6?
-24059682
Work out 9.8895086 + -0.066.
9.8235086
What is 0.04681107985 plus -2?
-1.95318892015
Add together 548 and 0.38127.
548.38127
What is -0.09 take away 9878174589?
-9878174589.09
-9626687.14+-3
-9626690.14
What is 93.8083 - 699?
-605.1917
Add together 128531 and -1434.
127097
0+-1196804419
-1196804419
What is 6700399 plus 2.4?
6700401.4
What is -1375.54 + 0.018872?
-1375.521128
Calculate 790.1 + 108.2.
898.3
Put together -17604596 and 0.
-17604596
Calculate 51 - 5588425.
-5588374
What is 1789 take away -309947?
311736
4964453 - 0.19
4964452.81
Add 308123 and 0.025.
308123.025
What is 107 take away 2060.342?
-1953.342
What is -8100248.8 take away 0.22?
-8100249.02
What is 0.183895 minus 0.77?
-0.586105
-82.8 - 20057
-20139.8
0.044 - 105739
-105738.956
What is the distance between -1.66 and 37312?
37313.66
What is the difference between -57.36442 and -1.7?
55.66442
Total of -154 and -25757402.
-25757556
What is the difference between -1149 and -33.602?
1115.398
Sum -0.096 and -407817878.
-407817878.096
Subtract -2781623 from 0.1.
2781623.1
Calculate -20227 + 554.
-19673
What is the distance between 0.03 and 0.06912302?
0.03912302
Add -35.889 and 157.
121.111
Put together -5.80171 and -0.005.
-5.80671
Add -323 and -2.065787.
-325.065787
What is the distance between -0.166 and -0.07636?
0.08964
Total of -0.1 and 98778959.
98778958.9
What is -0.03 + -3719.3412?
-3719.3712
6453387+-3024
6450363
What is 0.1 - 7.0475408?
-6.9475408
15.493+456422
456437.493
What is -2238.746459 minus -0.5?
-2238.246459
Add together -10766422878 and -0.3.
-10766422878.3
What is 128.83 + 0.026?
128.856
Subtract 1160 from -8640.
-9800
What is -60061434 - -528?
-60060906
Total of 4255 and 217787.
222042
Work out 0.3 - 8840369.
-8840368.7
Sum 1644397.6 and 0.5.
1644398.1
Sum -6916.4 and 3.801.
-6912.599
Work out 13323 - 1283231.
-1269908
What is 217338 - -0.1176?
217338.1176
Add together -122 and -5516322.
-5516444
Calculate -4.392 + 0.3989.
-3.9931
Calculate 7.84 + 401.21.
409.05
Work out -73.9495 + -8.
-81.9495
-211155+-1527.3
-212682.3
What is 0.5 - 447.2777944?
-446.7777944
Work out 5003237 + -314.4.
5002922.6
0.4 + 679.832032
680.232032
Calculate -417051443 + -1.48.
-417051444.48
What is 34.4289 - 8.7?
25.7289
Calculate -13614695 + -2.
-13614697
Total of 0.12 and 5160177.
5160177.12
304645724+-0.04
304645723.96
Work out -207886 - -10.1941.
-207875.8059
What is the distance between 0.0508 and 3520748?
3520747.9492
Calculate -1.1716465 + -0.199.
-1.3706465
Calculate 0.1 - 14660202.
-14660201.9
What is -2606 take away 841.631?
-3447.631
Work out -5.71 - 9.62567.
-15.33567
Work out -1.1 + -317087.
-317088.1
Subtract 1177.0269 from 22.
-1155.0269
What is 524734 take away 1.9?
524732.1
Put together -603552 and -0.6.
-603552.6
Calculate 6.647248 - 1.4.
5.247248
-4700488 + 0.9
-4700487.1
Put together 0.010924 and -321246.
-321245.989076
Work out -2103 - 2322.
-4425
Calculate 0.14 - -89556781.
89556781.14
What is -221.35 less than 63427.8?
63649.15
Total of -1167 and -3.08304.
-1170.08304
What is 30927 plus 1.471?
30928.471
Add together -0.8 and 569902957.
569902956.2
Calculate 146.502 + -10664.
-10517.498
What is -1.15455333 minus -0.2?
-0.95455333
22340 + -14.239
22325.761
What is the difference between 0.2 and 15.014655159?
14.814655159
Add 30784 and -31400.
-616
What is the distance between 24222.7 and 0.9552?
24221.7448
Calculate 0.20332 + -0.0018.
0.20152
Subtract 14479830 from 1.
-14479829
What is 59.6 take away 78.105254?
-18.505254
Subtract 16810593 from 0.3.
-16810592.7
-2+-8062988.8
-8062990.8
Work out -208 - 35851.
-36059
What is the distance between 0 and -4464.3625?
4464.3625
What is -289332779 take away 3?
-289332782
Calculate 0.22 - -428726560.
428726560.22
What is -20672774 less than 0.09?
20672774.09
Calculate -0.058 + -810990518.
-810990518.058
-6649 + 17.3
-6631.7
Work out -168599.70674 - -5.
-168594.70674
Add 60474 and 8.
60482
What is -5783 less than 4704?
10487
Work out -275 - 22051.
-22326
Work out 38689633 + 6.
38689639
Calculate 788 - 119945.
-119157
-3 + 217662548
217662545
Sum -27 and 15596708.
15596681
-4 - -15682570
15682566
What is the difference between 1 and 0.0304106044?
0.9695893956
Add together 28.4 and -112743908.
-112743879.6
-11073+-10761
-21834
Work out 461 + 674140.
674601
1.6 - 111.1462
-109.5462
Total of -5881 and 0.247749.
-5880.752251
Add 392 and -5.01096.
386.98904
-151229 + -0.012
-151229.012
Work out -55379.515 + 0.311.
-55379.204
Add 22.0679 and 1.14.
23.2079
Sum 610405530 and 60.
610405590
Put together 1015128 and 59.
1015187
Work out -16401.561 - 30.
-16431.561
Work out -121321 - -140.
-121181
-12.83605+123838
123825.16395
What is 1869 take away -0.4616?
1869.4616
What is 271.15 take away 0.055201?
271.094799
3.78 + 2479134
2479137.78
Work out -2075275.8 + -0.4.
-2075276.2
Add 53272840 and 1.
53272841
Add 69 and -611794.
-611725
Put together 0.0657 and 0.08169.
0.14739
What is 3780.6 less than 38014?
34233.4
Calculate 2.183346 + 23.477.
25.660346
Total of 162310992 and -8.
162310984
What is 0.4890625 less than 825?
824.5109375
What is the difference between 21 and -449.372309?
470.372309
Subtract 0.1 from 700487107.
700487106.9
What is -0.016 minus 363427?
-363427.016
Subtract 0.21298 from -33034.
-33034.21298
What is -78.7317324 less than -1?
77.7317324
What is 3 - 1554685075?
-1554685072
What is 0.2777491 - -13108?
13108.2777491
What is the distance between -4 and -3664908?
3664904
What is the distance between 7 and 9031.983?
9024.983
Work out 18 + 853857855.
853857873
What is -625.99186 minus -0.1?
-625.89186
What is the distance between -4 and 655076.72816?
655080.72816
What is 6036248 less than 0.01?
-6036247.99
Sum -3 and -29941064.
-29941067
Add -396496.9 and 3.39.
-396493.51
Put together -6484459 and 11796.
-6472663
What is 51 + -1553.5?
-1502.5
What is 5059257.5 less than 0.35?
-5059257.15
Subtract 4 from -27478.69907.
-27482.69907
-0.3985 - -53.21
52.8115
What is -3 take away 133792359?
-133792362
What is -0.04329854 take away -22660?
22659.95670146
Add together 1003456321 and 0.2.
1003456321.2
What is 2.3 take away 0.1605388?
2.1394612
1 + -29429971
-29429970
-12.07+-14535
-14547.07
What is the distance between -1706 and 12607509?
12609215
-2816760 - -0.132
-2816759.868
What is 948597 less than -126?
-948723
What is 3.6413 plus -0.95034?
2.69096
Subtract -1639 from -948.46.
690.54
5 - 0.5376837
4.4623163
What is -10323146855 take away 0.5?
-10323146855.5
What is the distance between 124 and 616186241?
616186117
0.2 + 6702334
6702334.2
Calculate -106714591168 - -0.4.
-106714591167.6
Add together 5 and 575273797.
575273802
What is 311507 less than -155587?
-467094
What is the difference between -35192435 and 2?
35192437
What is 5 - -30.26092226?
35.26092226
What is 14741347 + -5?
14741342
Subtract 1 from -539031.64.
-539032.64
-12279.83 - -145
-12134.83
Work out -139345968 + 18.
-139345950
What is 3302 less than 86.534?
-3215.466
Total of -0.0075 and 9051472.
9051471.9925
Work out 5 - -38222.3123.
38227.3123
0.08546+44027.17
44027.25546
Total of -641.09
|
{
"pile_set_name": "DM Mathematics"
}
|
h(i) = -2*i - 1. Let q(x) = -5*h(x) + 6*w(x). Let y(u) = -5*u + 1. Give -6*q(f) - 5*y(f).
f + 1
Let d(y) = -19*y**3 + 6*y**2 - 5*y + 5. Let g(i) = -10*i**3 + 3*i**2 - 3*i + 3. Calculate 3*d(m) - 5*g(m).
-7*m**3 + 3*m**2
Let y(o) be the third derivative of -o**4/12 - o**3/2 + o**2. Let s be 16/12 + 1/(-3). Let d(q) = -q**3 - 1. What is s*d(f) - y(f)?
-f**3 + 2*f + 2
Let o(r) = -4*r + 3. Let f(v) = -17*v + 13. Let u be ((-4)/(-1))/(-1 - (-1 - 2)). What is u*f(n) - 9*o(n)?
2*n - 1
Let c(u) = -u + 1. Let s(t) = 3*t**2 - 11*t - 5. Let j(w) = 2*w**2 - 6*w - 3. Let o(z) = -5*j(z) + 3*s(z). Let i be 8/(-12)*(0 - -3). Give i*c(k) + o(k).
-k**2 - k - 2
Let h(i) = -i**2 + i - 1. Let v be 42/(-56) - 2/8. Let n(u) = u**2 - u. Calculate v*n(j) - 3*h(j).
2*j**2 - 2*j + 3
Let j = -5 + 7. Let z(x) = -5 - x**j + x + 3 + 1. Let o(y) = -6*y**2 + 4*y - 4. What is -o(i) + 4*z(i)?
2*i**2
Let m be -4 + 0 + (-11)/(-1). Let z be -1 + -1 + (-21)/m. Let f(v) = 3*v. Let n(i) = -4*i. Calculate z*n(w) - 7*f(w).
-w
Suppose 4*r = -53 + 133. Let x(o) = 2*o - 16*o**2 - 4*o + r*o**2 + 2. Let k(j) = 5*j**2 - 3*j + 3. What is -3*k(b) + 4*x(b)?
b**2 + b - 1
Let b(d) be the second derivative of -d**3 + d**2/2 + d. Let l(v) = -5*v + 1. Suppose 3*z - z - 14 = 0. Suppose -5*u = -6*u + z. Give u*l(h) - 6*b(h).
h + 1
Let h(i) be the first derivative of -i**3/3 - i**2 + 10. Let w(m) = 3*m**2 + 5*m. Suppose 4*l = -0 - 8. Give l*w(a) - 5*h(a).
-a**2
Let m(v) = v + 1. Let y(z) = -4*z - 3. Let o be 0*3/12*-2. Suppose o = -5*l + l + 4. Let k = 4 - 2. What is k*m(p) + l*y(p)?
-2*p - 1
Let b(h) = 4*h**2 - 7*h - 8. Let q(l) = 11*l**2 - 20*l - 24. Calculate 17*b(y) - 6*q(y).
2*y**2 + y + 8
Let w(x) be the third derivative of 5*x**4/12 + 5*x**3/3 + x**2. Suppose h + 5 - 3 = 0. Let g(a) = a + 1. Calculate h*w(t) + 22*g(t).
2*t + 2
Let a(c) = 3*c + 3. Let v(u) = -2 + 44*u + 44*u - 82*u + 9. Suppose -2*m - 3 = -m. What is m*v(z) + 7*a(z)?
3*z
Let j(b) = -49*b**3 - 35*b**2. Let l(q) = -4*q**3 - 3*q**2. What is -3*j(w) + 35*l(w)?
7*w**3
Let n(f) = -7*f - 6. Let r(d) = -d - 1. Give -n(a) + 2*r(a).
5*a + 4
Let i(t) = -3*t + 5. Let q(x) = 2*x - 3. Determine -3*i(y) - 5*q(y).
-y
Let r(p) = 5*p + 6. Let n be 15/((-75)/20) - -11. Let j(k) = 5*k + 4*k + 11 + 0. Determine n*r(q) - 4*j(q).
-q - 2
Let f(d) = 279*d - 81. Let q(h) = 7*h - 2. What is 2*f(c) - 81*q(c)?
-9*c
Let y(n) = n**2 + 5*n + 3. Suppose 60 = 7*i + 3*i. Let f(k) = -2*k**2 - 6*k - 4. Determine i*y(p) + 5*f(p).
-4*p**2 - 2
Let x(u) be the first derivative of -u**4 - 2*u**2 - 7*u + 2. Let i(c) = 3*c**3 + 3*c + 5. Suppose -10 = -2*o + 4. Give o*i(r) + 5*x(r).
r**3 + r
Let r(t) = t**2 - t. Let c(a) = -12*a**2. Give c(p) + 10*r(p).
-2*p**2 - 10*p
Let f be 3 - (-3 - 35/(-5)). Let t(i) = -3*i**2 + 2*i + 4. Let h(o) = -o**2 + o + 1. What is f*t(s) + 2*h(s)?
s**2 - 2
Let d(j) = -9*j**3 - 11*j**2 + 15*j + 11. Let h(t) = 4*t**3 + 6*t**2 + 2*t**3 - t**3 - 8*t - 6. Suppose 6*g + 8 = 74. Determine g*h(q) + 6*d(q).
q**3 + 2*q
Let y(a) be the first derivative of a**3/3 - a**2/2 + a - 22. Let d(v) = 2*v**2 - 3*v + 3. What is -2*d(q) + 6*y(q)?
2*q**2
Let m(d) = 9*d. Let j(w) = -528 + 4*w + 528. Determine -5*j(n) + 3*m(n).
7*n
Let d(i) = -6*i + 3. Let j(g) = 7*g - 4. Calculate -5*d(h) - 4*j(h).
2*h + 1
Let s(i) = -11*i - 1. Let w(t) = -t. Determine -s(g) + 5*w(g).
6*g + 1
Let v(y) = -y + 3. Let x(g) = 2*g - 6. Let k(o) = -10*o**3 + o. Let i be k(-1). Give i*v(w) + 4*x(w).
-w + 3
Let z(h) = 5*h**3. Let x(v) = -v - 3. Let b be x(-5). Suppose a = b*a + 4. Let y(u) = 2*u**3. Give a*z(o) + 9*y(o).
-2*o**3
Let a(t) = 2*t + 63. Let k(l) = 2*l + 63. Give 3*a(x) - 4*k(x).
-2*x - 63
Let q(x) be the third derivative of -7*x**6/40 + x**5/10 + 9*x**4/8 - 9*x**3/2 + 31*x**2. Let z(n) = 3*n**3 - n**2 - 4*n + 4. Give -4*q(r) - 27*z(r).
3*r**3 + 3*r**2
Let g be -1*(-3 - -33)/(-6). Let v(f) = f**2 - 6*f - 6. Let o(r) = -r - 1. Calculate g*v(m) - 30*o(m).
5*m**2
Let m(y) = -8*y**2 - 4*y - 9. Suppose -p - p = 4*t + 18, -2*t + 12 = -2*p. Let n(r) = -7*r**2 - 3*r - 8. Calculate p*n(o) + 6*m(o).
o**2 - 3*o + 2
Let g(h) = 3*h - 4. Let m(l) = -l + 1. Let t = -1 + 2. Let s(q) = -8*q + 8. Let p(f) = t*s(f) - 10*m(f). Let w be ((-75)/45)/(-1*1/3). What is w*p(n) - 3*g(n)?
n + 2
Let l(b) = 12*b - 10*b - 35 + 41. Let x(n) = -2*n - 5. Calculate -5*l(w) - 6*x(w).
2*w
Let j(s) = -s**3 - s**2 - 1. Let k(p) = 6*p**3 + 7*p**2 + 5. Calculate -5*j(u) - k(u).
-u**3 - 2*u**2
Let b(v) = 21*v**2 - 69*v. Let x(a) = -3*a**2 + 10*a. Calculate 4*b(f) + 27*x(f).
3*f**2 - 6*f
Let c = -18 + 24. Let x(a) = c*a - 12*a - 3*a + 3 + 6. Let r(f) = 4*f - 4. What is -14*r(z) - 6*x(z)?
-2*z + 2
Let u(q) = 12*q**2 + q - 6. Let l(r) = -1. Give 6*l(g) - u(g).
-12*g**2 - g
Let n(q) = q + 6. Let w(d) = -3*d - 11. Calculate 10*n(y) + 4*w(y).
-2*y + 16
Let q(z) be the third derivative of 5*z**4/24 + z**3 + 9*z**2. Let l(m) = 6*m + 7. Give -6*l(n) + 7*q(n).
-n
Let s(h) = -h**2 - 1. Let j be 3/(-2)*8/12. Let n(a) be the second derivative of 0 - 1/4*a**4 + 1/3*a**3 - a**2 - 2*a. Determine j*s(q) + n(q).
-2*q**2 + 2*q - 1
Let j(c) = -3*c**2 + 3*c + 1. Let z(m) = 4*m**2 - 4*m - 2. What is 3*j(t) + 2*z(t)?
-t**2 + t - 1
Let q(z) = 11*z**2 - 7*z. Let x(g) = -5*g**2 + 3*g. Calculate 6*q(s) + 14*x(s).
-4*s**2
Let r(p) be the second derivative of p**3/2 - 3*p**2/2 + 2*p. Let a(u) = -u + 1. What is -11*a(t) - 4*r(t)?
-t + 1
Let p(c) = 5*c**2 + 3*c - 6. Let r(x) = 9*x**2 + 5*x - 11. Calculate 5*p(t) - 3*r(t).
-2*t**2 + 3
Let t(z) = 2*z**2 + 5*z + 5. Let j(m) = 0*m - 16*m - 9*m**2 - 21 - 13*m + 8*m. Suppose 0 = -r + 3*s + s - 11, 0 = -2*r - 4*s + 26. Give r*j(y) + 21*t(y).
-3*y**2
Let a(u) = 3*u**3 + 3*u**2 + 2*u. Let d(f) = -3*f**3 - 2*f**2 - 2*f. Let m = 117 + -122. Calculate m*d(q) - 4*a(q).
3*q**3 - 2*q**2 + 2*q
Let y(h) = h**2 + 7*h - 7. Let p be y(-8). Let t = -4 + p. Let z(c) = c**2 - 4*c - 4. Let o(m) = -m**2 + 3*m + 3. What is t*z(a) - 4*o(a)?
a**2
Let q(d) be the second derivative of d**4/12 + 2*d. Suppose 4*s = -4*r + 4, 2*s + 14 - 6 = 3*r. Let i(k) = -2*k**2 + k**2 + 7*k**r. What is -2*i(c) + 10*q(c)?
-2*c**2
Let j = 11 - 4. Let l(a) = -7*a. Let v(f) = -22*f - 1. Let k(o) = j*l(o) - 2*v(o). Let i(d) = -2*d + 1. Calculate -7*i(x) + 3*k(x).
-x - 1
Let r(i) = i**2 - i - 1. Let f(d) = 6*d**2 - 2*d - 2. Let l be -6 + (2 - 4 - -6). Determine l*r(y) + f(y).
4*y**2
Let q(j) = -3*j + 7. Let d(z) = 4*z - 8. Let m(p) = -4*d(p) - 5*q(p). Let f(c) = 5*c + 13. Give 2*f(x) + 9*m(x).
x - 1
Let d(b) = 7*b**2 - 3*b - 3. Let v(z) = 36*z**2 - 16*z - 16. Calculate -16*d(w) + 3*v(w).
-4*w**2
Let f(x) = 10920*x**3 + 715. Let d(v) = -61*v**3 - 4. Give -715*d(k) - 4*f(k).
-65*k**3
Let x(i) = 2*i**3 + i**2 - 4. Let t(w) = -1. Give 2*t(d) - x(d).
-2*d**3 - d**2 + 2
Let u(m) = 3*m + 14*m - 5 + 4. Let g(v) = -4*v. Let d = -7 + 16. What is d*g(h) + 2*u(h)?
-2*h - 2
Let b(x) be the first derivative of 9*x - 13/2*x**2 - 1. Let a(l) = 5 - 2*l + 0*l - 5*l. Determine 11*a(t) - 6*b(t).
t + 1
Suppose 2*q + 18 = -5*d - 11, -5*q = -2*d. Let n(m) = -4*m**3 + 3*m. Let v(o) = -3*o**3 + 2*o. What is q*n(u) + 3*v(u)?
-u**3
Suppose 8 + 4 = 2*z. Let h(x) = x + z - x - x. Let r(q) = q - 7. Calculate -6*h(u) - 5*r(u).
u - 1
Suppose 3*q + 4 = -n, 4*n - 27 = 4*q + n. Let v(w) = -5 - 4*w**2 + 2*w**2 - 4*w**2 + 4*w**2 + 2*w. Let f(z) = -4*z**2 + 5*z - 11. What is q*f(a) + 7*v(a)?
-2*a**2 - a - 2
Let t(u) = -5*u + 6. Let b(z) = -7*z - 2*z + 0*z + 17 - 5*z. Let k(l) = 2*l + 3. Let s be k(7). What is s*t(o) - 6*b(o)?
-o
Let k(b) = 6*b**3 + 2*b**2 + 2*b + 2. Let m(i) = -19*i**3 - 7*i**2 - 7*i - 7. Suppose 28 = 7*w - 3*w. Determine w*k(x) + 2*m(x).
4*x**3
Let p be (-4)/8*0*1 + 4. Let z(i) be the second derivative of 1/6*i**3 - 2*i + 0 + 1/2*i**2 - 1/12*i**p. Let b(g) = -6*g**2 + 4*g + 6. What is -b(j) + 5*z(j)?
j**2 + j - 1
Let c be (-7)/((-7)/4) + 2. Let f(l) = -17*l + 7. Let i(p) = 8*p - 3. Determine c*f(s) + 13*i(s).
2*s + 3
Let w(x) be the second derivative of 4*x**3/3 + 14*x. Let d(q) = 4*q. Give 5*d(f) - 2*w(f).
4*f
Suppose 5*c + 9*d = 7*d + 15, 2*c - 3*d - 25 = 0. Let r(p) = -6*p**2 + 5*p + 2. Let n(k) = -3*k + 2*k + k**2 + 0*k**2. Calculate c*n(y) + r(y).
-y**2 + 2
Let q(w) = -7*w**2 + 6. Let z(y) be the second derivative of 5*y**4/4 - 13*y**2/2 - 2*y. Determine 13*q(v) + 6
|
{
"pile_set_name": "DM Mathematics"
}
|
= h - -43. Let b = -14 - l. List the prime factors of b.
17
Let o(d) = 2*d**3 - 9*d**2 + 2*d + 17. What are the prime factors of o(7)?
2, 3, 23
Suppose 9*a - 6*a - 327 = 0. What are the prime factors of a?
109
Suppose -y + z + 36 = 0, 0 = 6*y - 2*y + 5*z - 108. Let f = y - 21. What are the prime factors of f?
11
Let x = -14 - -30. List the prime factors of x.
2
Let m be (-6)/(-8) - (-486)/24. Suppose 1 + 3 = y, -5*n + y = -m. What are the prime factors of n?
5
Let p = -94 + 136. What are the prime factors of p?
2, 3, 7
Let k = 7 - -10. List the prime factors of k.
17
Suppose 2*r + r = -351. List the prime factors of r/6*(-2)/3.
13
Suppose -5*n - 195 = -5*c, -6 - 6 = 3*n. List the prime factors of c.
5, 7
Let u(n) = n**2 - n. Let x be u(2). What are the prime factors of (x/6)/(5/285)?
19
Let h be 2/6 + (-26)/6. Let i be (-78)/(-8) + (-1)/h. Suppose -3*p - 1 = -i. List the prime factors of p.
3
Suppose -7*d + 3*d = -v - 17, 65 = -3*v + 5*d. Let g = -10 - v. What are the prime factors of g?
3, 5
Suppose 3*z = 3*d - d - 195, 0 = -3*z - 9. What are the prime factors of d?
3, 31
Suppose k + 2 = 5*a, -4*k + 11 = -a - 0*k. Let b be a*1*-3*1. Let o = 10 + b. List the prime factors of o.
7
Let v(g) = 110*g. Let r(i) = i. Let w(j) = 132*r(j) - v(j). List the prime factors of w(1).
2, 11
Suppose 2*w + 2*m + m = -11, -4*w + 3*m = -23. Suppose -5*v - 2*y = -y - 137, -46 = -w*v + 4*y. List the prime factors of v.
3
Let h = 292 + -125. List the prime factors of h.
167
Let a(l) = -6*l - 2. Suppose v = -v - 6. What are the prime factors of a(v)?
2
Suppose 3*w - 22 = 14. Suppose 0 = 4*v - 2*g - w, 7*g - 2*g - 10 = 0. Suppose -z - v = -11. What are the prime factors of z?
7
Suppose -a - 2*p = -19, 3*p = -3*a + 6*p + 93. List the prime factors of a.
3
Suppose 5*c + 0 - 10 = 0. Suppose 0 = c*b - 3*b. Suppose 3*h - 2*q - 6 = 20, -5*h + 5*q + 45 = b. List the prime factors of h.
2
Let g be ((-2)/4)/((-2)/20). Let p be 2/g + (-111)/15. Let n = p - -19. List the prime factors of n.
2, 3
Suppose -130 - 94 = -a. What are the prime factors of a?
2, 7
Let u be (-3)/(-2)*2/3. Let q be u*(-5 + 0 + 0). Let m = q - -12. What are the prime factors of m?
7
Suppose -v - 3 = 3*i + i, 0 = 5*i - 2*v - 6. What are the prime factors of 11 + (3/(-3) - i)?
2, 5
Let o(v) = 2*v**2 + v + 1. Let m(q) = -q + 5. Let c be m(6). Let u be o(c). List the prime factors of (u - -16)/(2/1).
3
Suppose -17*t + 966 = -3*t. What are the prime factors of t?
3, 23
Suppose -4*g + 6*g = 0. Suppose -6*y + 5*y + 51 = g. List the prime factors of y.
3, 17
Let m be (276/8)/(-3)*-10. Suppose 5*q - 2*p = -23 + m, 36 = 2*q - p. List the prime factors of q.
2, 5
Let b(i) = -i**3 + 9*i**2 + i - 22. What are the prime factors of b(6)?
2, 23
Let y = -58 + 108. What are the prime factors of y?
2, 5
Let r = 3 + -1. Suppose -r*g + 62 = -0*g. Let y = g - 21. What are the prime factors of y?
2, 5
Let c be 94*(-1 + 4 + -2). Let b be c/18 - 4/18. Suppose b*s + 1 = 21. List the prime factors of s.
2
Let d(f) = -f**2 - f + 52. Let m be d(0). Suppose 0 = 2*u - 4*z - m, 2*u - 3*z - 63 + 10 = 0. List the prime factors of u.
2, 7
Suppose 2*r = -3*r + 60. Suppose -t - r = -5*t. Suppose -4 = c, -5*l - t*c - 4 + 57 = 0. List the prime factors of l.
13
Let m be 1/4 - (-33)/12. Suppose 8 = -4*h + y, -1 = -h - 3*y - m. What are the prime factors of h/3*(-45)/6?
5
Suppose -5*z + 450 = -4*l - 11, -4*l - 182 = -2*z. List the prime factors of z.
3, 31
Let c(s) = -s**3 + 6*s**2 - 5*s + 1. Let t be c(5). Let m(v) = 6*v + v**2 + t - 4 + 1. List the prime factors of m(-7).
5
Suppose -3*u = -5*u + 16. Suppose -u = q + 3. Let c = 14 + q. List the prime factors of c.
3
Let g = 86 - 49. List the prime factors of g.
37
Let x be (-32)/(-6) + 4/6. Suppose 66 = -2*q + x*q + 2*y, 5*q = 5*y + 120. What are the prime factors of q?
19
Let s(v) = v**2 - 3*v - 1. Let r be s(4). Suppose -9 = -r*g + 24. What are the prime factors of g?
11
Let q(j) = 5*j + 1. Let x be q(1). Let z = x - 9. List the prime factors of 2/6*-7*z.
7
Suppose 4*s + 1 = b, -4*s - b = 2*b - 3. Suppose 0 = -c + 4*a + 37, s = 2*c + 2*a + 1 - 25. What are the prime factors of c?
17
Let j(c) = 28*c - 1. What are the prime factors of j(3)?
83
What are the prime factors of (39/(-5))/((-5)/25)?
3, 13
Suppose -3*u + 5*u - 14 = 0. Suppose -3*r + 36 = -u*r. Let x = -4 - r. What are the prime factors of x?
5
Let o(w) = w**3 + 8*w**2 - 11*w - 12. List the prime factors of o(-9).
2, 3
Suppose 2*z + 5 = 13, f - 2*z = 13. Let a = f + 5. What are the prime factors of a?
2, 13
Let h(j) = -3*j**2 - 4*j - 1. Let i be h(-3). Let m = 26 + i. List the prime factors of m.
2, 5
Let z = 48 + -27. What are the prime factors of z?
3, 7
Suppose n = -3*y + 141, 2*n = 5*y + 3*n - 233. List the prime factors of y.
2, 23
Let m(d) = d**2 + 12*d + 3. Let n(f) = -2*f**2 - 5*f. Let x be n(-4). List the prime factors of m(x).
3
Let p(o) = -o**3 - 2*o**2 - o - 2. Let v be p(-2). Suppose i - 6 = -v*i. Suppose -7*d = -4*d - i. List the prime factors of d.
2
Let g = 7 - -3. Suppose -2*j = 10, g*j = 3*c + 5*j - 88. What are the prime factors of c?
3, 7
Let b(p) = -p**3 + 5*p**2 + 3*p + 2. List the prime factors of b(4).
2, 3, 5
Let k(v) = v**3 - 3*v**2 + 7. Let i(o) = o**3 - 3*o**2 - o + 6. Let f(a) = 5*i(a) - 4*k(a). Let j be f(4). Let b = j - -7. List the prime factors of b.
5
Let p = -3 - -4. Let w(j) = 24*j + 1. List the prime factors of w(p).
5
What are the prime factors of ((-1 - -70)/(-3))/(-1)?
23
Let h = 404 + -211. List the prime factors of h.
193
Let h(g) = g**2 + 10*g + 1. Let x(c) = c**2 + 10*c. Let p(l) = -3*h(l) + 2*x(l). List the prime factors of p(-7).
2, 3
Let o = -16 - -22. Suppose -2*m - 68 = -o*m. List the prime factors of m.
17
List the prime factors of 72 - ((-1)/(-1) - 1).
2, 3
Let y be 19/1 - (-12)/(-4). Suppose -y = -5*q + 29. What are the prime factors of q?
3
List the prime factors of (-604)/(-24) + 2/(-12).
5
Let v be (1 + 4)*(-26)/5. List the prime factors of (v/8)/(2/(-8)).
13
Suppose 0 = -2*t + 6. Let z(b) = -b**2 + 3*b + 4. Let n be z(4). Suppose j + 19 = 3*j + k, -3*j - t*k + 24 = n. List the prime factors of j.
11
Let d be 206/8 - 3/4. Let g = d + -14. List the prime factors of g.
11
Let j be (2 - -1)/(12/8). Let c(g) = -3*g**3 + 3*g**2 - 2. Let u be c(j). Let w = u - -23. What are the prime factors of w?
3
Let w(k) = k**2 + 9*k + 6. Suppose 5*y + 23 + 27 = 0. What are the prime factors of w(y)?
2
Let l(a) = -12*a - 5. Let v(j) = -25*j - 10. Let y(o) = 13*l(o) - 6*v(o). Let z be y(-4). Suppose -z = -4*u + 41. What are the prime factors of u?
3, 5
Let k = -21 + 29. Let x(j) be the first derivative of -j**4/4 + 7*j**3/3 + 7*j**2/2 + 10*j - 2. List the prime factors of x(k).
2
Suppose -2*o + 124 + 162 = 5*u, 0 = -4*u + 2*o + 218. What are the prime factors of u?
2, 7
Let d(l) = l**2 - 9*l + 16. Let k(z) = z**2 - 8*z + 15. Let m(x) = -6*d(x) + 7*k(x). What are the prime factors of m(4)?
17
Let d(h) = h**3 - 5*h**2 - 5*h - 4. Let z be d(6). Suppose 0 = 2*w + z*w - 36. Suppose -3*g = -w - 24. List the prime factors of g.
11
Suppose -3*v = k - 0*k + 144, 5*k + 660 = 5*v. What are the prime factors of k/(-7) + 8/(-28)?
19
Let n = -3 + 6. Let p = n + 0. Suppose -p*r + 24 = -r - 2*c, 0 = 5*c - 25. What are the prime factors of r?
17
Suppose -321 = 4*j - 7*j. What are the prime factors of j?
107
What are the prime factors of (-152)/(-2) - (6 - (2 + 1))?
73
Let i = -13 - -45. List the prime factors of i.
2
Let z(l) = 45*l - 4. Let q be z(-4). List the prime factors of q/(-12) - 1/3.
3, 5
List the prime factors of (-1 + (-4)/3)*-18.
2, 3, 7
Let m(a) = -a**3 + 5*a**2 - 5*a + 4. Suppose x = -2 - 1, -3*t = -4*x - 24. Let r be m(t). Suppose -4*c + 30 - 6 = r. What are the prime factors of c?
2, 3
Let g(i) = -3*i**3 - 2*i**2 + i. Let f be g(1). Let k be (18/f)/(6/(-8)). Let x(d) = -d**2 + 8*d + 2. What are the prime factors of x(k)?
2, 7
Let y(n) = n**3 + 6*n**2 + 5. Let c be y(-5). Let d = 64 - c. What are the prime factors of d?
2, 17
Let h(i) = 4*i**2 - 3*i - 7. What are the prime factors of h(4)?
3, 5
Let i = 117 + -74. What are the prime factors of i?
43
Suppose -20 = -3*p + 4. Suppose 0 = p*s - 4*s - 20. List the prime factors of s.
5
Suppose -5*v - 3 + 18 = 0. Suppose 2*l + 2 = 3*l. Let z = v + l. Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Determine k(-1).
6
Let c(l) = -l**2 - 10*l + 3. Give c(-10).
3
Let r(a) = -a**3 + 5*a**2 - 3*a - 1. Give r(4).
3
Let f(g) = -g**2 + 27*g + 32. Determine f(28).
4
Let m(w) = -w**2 - 2*w + 2. Give m(2).
-6
Let k(f) = f**3 + 2*f**2 + 4*f + 43. Calculate k(-4).
-5
Let z(t) = -t**2 - 18*t + 63. Determine z(-19).
44
Let j(o) = 2*o + 45. Give j(-20).
5
Let u(z) = 5*z - 3. Calculate u(11).
52
Let q(r) = -3*r - 13. What is q(3)?
-22
Let k(m) = -m**2 + 8*m - 3. Give k(8).
-3
Let a(l) = -14*l - 4. Determine a(3).
-46
Let v(h) = -h**3 + 4*h**2 + 12*h + 7. Determine v(6).
7
Let g(j) = 43*j**2 - 2*j + 2. Give g(-2).
178
Let c(q) = 8*q + 107. Calculate c(-14).
-5
Let t(i) = 2*i**3 - 4*i**2 - 19*i + 6. What is t(4)?
-6
Let r(a) = -17*a + 4. Give r(2).
-30
Let q(w) = w**2 + 10*w - 5. Give q(-10).
-5
Let w(c) = -2*c**3 + c**2 + 2*c + 2. Determine w(-2).
18
Let u(k) = -k**2 - 27*k + 17. Determine u(-27).
17
Let t(g) = 6*g**2 - g + 2. Give t(-2).
28
Let w(k) = -k**2 + 8*k + 3. Give w(8).
3
Let z(k) = 2*k**3 - 4*k**2 + 3*k - 6. Determine z(3).
21
Let l(r) = -r**2 + 6*r + 3. Calculate l(5).
8
Let n(z) = z + 5. What is n(5)?
10
Let i(h) = -6*h**2 - 1. Give i(-1).
-7
Let g(x) = -x**3 + 7*x**2 - 3*x - 2. Calculate g(3).
25
Let n(r) = r**2 - 5*r - 11. Determine n(6).
-5
Let i(n) = n**2 + n - 57. Determine i(7).
-1
Let a(y) = 93*y + 185. Give a(-2).
-1
Let a(d) = -3*d**3 + 27*d**2 - 3*d + 29. What is a(9)?
2
Let c(u) = -22*u - 224. Give c(-11).
18
Let k(n) = -n**2 + 10*n - 17. Give k(11).
-28
Let i(h) = -2*h**2 - 3*h + 1. What is i(0)?
1
Let h(s) = s**2 - s + 7. Determine h(0).
7
Let w(s) = -s**2 + s - 46. What is w(0)?
-46
Let q(f) = 4*f - 87. Determine q(32).
41
Let l(f) = f**2 + 6*f + 8. What is l(-4)?
0
Let s(b) = -33*b - 370. Give s(-11).
-7
Let a(d) = -d**3 + 5*d**2 - 8*d + 17. Give a(4).
1
Let i(y) = -3*y**2 - 14*y. Give i(-5).
-5
Let g(m) = 7*m - 164. Calculate g(24).
4
Let l(c) = -c**3 - 10*c**2 + 13*c - 11. Determine l(-11).
-33
Let h(z) = z**2 + 4*z + 1. What is h(-3)?
-2
Let x(q) = q**3 - 9*q**2 + 7*q + 1. Calculate x(8).
-7
Let y(x) = -2*x**3 - 6*x**2 + 6*x - 3. Determine y(-4).
5
Let c(b) = -b**3 - 18*b**2 + 5*b + 61. Calculate c(-18).
-29
Let v(t) = t**2 - 6*t - 12. What is v(8)?
4
Let l(u) = u + 18. What is l(-12)?
6
Let t(y) = -57*y**2 + y. What is t(-1)?
-58
Let z(d) = -d**3 + 5*d**2 + 2*d + 8. Give z(6).
-16
Let b(t) = -t + 10. Determine b(4).
6
Let m(d) = d**3 + d**2 + 3*d + 3. Determine m(0).
3
Let u(l) = 40*l**2 - l. Determine u(1).
39
Let t(d) = d**3 + 8*d**2 - 8*d + 14. What is t(-9)?
5
Let g(s) = 24*s - 29. Determine g(1).
-5
Let c(s) = -s**2 - 15*s - 46. Give c(-5).
4
Let j(v) = -31*v + 96. What is j(3)?
3
Let a(d) = d**3 - 6*d**2 - 3*d - 13. Determine a(7).
15
Let b(a) = -a**3 + 15*a**2 + 12. What is b(15)?
12
Let n(t) = -11*t - 597. Determine n(-54).
-3
Let s(w) = -w - 6. Calculate s(-9).
3
Let k(c) = 3*c**2 - 14*c + 5. Calculate k(6).
29
Let a(h) = h**2 + 10*h + 19. What is a(-4)?
-5
Let q(n) = -n**3 - 2*n**2 + 15*n + 16. Determine q(-5).
16
Let z(o) = -o**2 - 2*o + 61. Give z(6).
13
Let v(l) = -l**2 + 6*l - 24. Determine v(12).
-96
Let y(x) = -x**3 + 47*x**2 - 50*x + 194. Calculate y(46).
10
Let r(a) = 14*a - 1. Give r(-1).
-15
Let t(j) = 2*j**2 + 3*j - 4. Calculate t(-5).
31
Let q(o) = -o - 33. Give q(6).
-39
Let t(n) = n**3 + 19*n**2 + 17*n - 36. Calculate t(-18).
-18
Let c(a) = -a**2 + 8. Determine c(4).
-8
Let v(z) = 22*z - 1. Calculate v(1).
21
Let p(z) = z**2 - 6*z + 18. Determine p(6).
18
Let t(s) = 8*s + 4. Give t(5).
44
Let q(d) = -5*d + 54. Determine q(13).
-11
Let q(v) = -6*v**2 + 38*v - 22. Calculate q(7).
-50
Let c(g) = g + 5. Give c(9).
14
Let g(m) = m**3 - 4*m**2 - 21*m + 58. Give g(6).
4
Let c(d) = -2*d - 8. Calculate c(-5).
2
Let v(c) = -7*c - 2. What is v(-5)?
33
Let o(w) = -w**2 - 7*w - 15. What is o(-6)?
-9
Let m(b) = -b**2 - 12*b - 8. Determine m(-9).
19
Let i(f) = 17*f + 157. Determine i(-9).
4
Let g(a) = -7*a. Determine g(7).
-49
Let o(p) = p**3 - 6*p**2 - 6*p - 9. Determine o(7).
-2
Let y(r) = -r + 9. What is y(14)?
-5
Let s(q) = -q + 10. Calculate s(15).
-5
Let c(s) = s**3 + 2*s**2 - 6*s - 5. Give c(-4).
-13
Let h(b) = -2*b**3 + 3*b**2 - b + 2. What is h(3)?
-28
Let w(f) = f**3 - 23*f**2 - f + 18. Calculate w(23).
-5
Let o(p) = -p + 7. Determine o(-5).
12
Let f(t) = t**2 - 9*t + 6. What is f(10)?
16
Let k(z) = z**3 - 12*z**2 - 13*z + 11. What is k(13)?
11
Let h(o) = o - 1. Calculate h(-5).
-6
Let z(c) = c**2 + 17*c - 18. What is z(-18)?
0
Let k(y) = -y**2 - 7*y + 3. Give k(-6).
9
Let s(j) = -4*j**3 - j**2 + 2. What is s(2)?
-34
Let c(d) = d**3 + 10*d**2 - 6*d. Give c(-11).
-55
Let j(p) = -p**3 + 12*p**2 - 22*p + 10. Give j(10).
-10
Let r(m) = m**3 - 4*m**2 - 5*m + 6. Calculate r(4).
-14
Let q(z) = -2*z**2 - 11*z + 173. Determine q(7).
-2
Let s(q) = -q**3 + 6*q**2 - 3*q - 3. What is s(4)?
17
Let s(m) = m**3 - 30*m**2 - 33*m + 66. What is s(31)?
4
Let h(j) = j - 11. Calculate h(8).
-3
Let z(p) = p**2 - 3*p - 5. Determine z(6).
13
Let j(a) = -4*a + 12. Calculate j(0).
12
Let g(j) = -4*j - 32. Calculate g(-8).
0
Let m(g) = 10*g**2 + 3*g - 3. Give m(2).
43
Let y(q) = -2*q + 5. Determine y(5).
-5
Let x(l) = l**3 - 3*l**2 + l - 9. Determine x(0).
-9
Let t(x) = 2*x**2 - 8*x - 151. Calculate t(10).
-31
Let m(h) = -h**2 - h - 8. Calculate m(7).
-64
Let f(c) = c**3 - 32*c**2 - 68*c - 3. Calculate f(-2).
-3
Let l(j) = 3*j + 21. What is l(0)?
21
Let m(s) = s + 1. Determine m(-3).
-2
Let n(f) = 14*f**2 - 2. Give n(2).
54
Let x(u) = -u + 2. Give x(5).
-3
Let z(a) = -a**3 - 9*a**2 - 11*a + 8. What is z(-6)?
-34
Let s(y) = -y + 3. Determine s(0).
3
Let p(j) = -j**2 - 3*j + 10. What is p(3)?
-8
Let q(c) = -12*c**2 + 93*c - 5. Determine q(8).
-29
Let v(q) = -12*q**2 + 2*q + 9. Give v(-1).
-5
Let d(j) = -j**3 + 7*j**2 + 6*j - 68. Give d(6).
4
Let s(c) = c**3 - 8*c**2 - 8*c - 3. Give s(9).
6
Let o(g) = -g**3 - 7*g**2 - 6*g - 14. Determine o(-6).
-14
Let i(r) = r**3 - 11*r**2 + 3*r - 50. What is i(11)?
-17
Let s(t) = -12*t + 14. What is s(4)?
-34
Let s(a) = -a**2 + 9*a + 14. Determine s(0).
14
Let r(h) = -29*h - 1. Calculate r(-1).
28
Let t(z) = -z**2 - z + 5. Determine t(-3).
-1
Let a(i) = 3*i**2 + 2*i - 4. Give a(2).
12
Let j(i) = -i**3 + 12*i + 9. Calculate j(-5).
74
Let z(c) = 6*c - 5. What is z(2)?
7
Let p(t) = t**2 - 14*t - 2. Calculate p(14).
-2
Let f(u) = -u**3 - 9*u**2 - 10*u - 13. What is f(-6)?
-61
Let g(z) = -2*z - 29. Calculate g(-16).
3
Let o(f) = -f**3 - 14*f**2 - f - 4. What is o(-14)?
10
Let u(y) = y**2 - 9*y - 1. Give u(10).
9
Let g(f) = 2*f**2 - 7*f - 2. Calculate g(2).
-8
Let d(s) = s + 9. Give d(-17).
-8
Let p(d) = -13*d + 33. Determine p(2).
7
Let j(s) = 37*s - 257. Give j(7).
2
Let k(i) = -i**3 + 9*i**2 + 4. Give k(8).
68
Let q(d) = 2*d + 4. Calculate q(15).
34
Let h(d) = 3*d**2 + d + 1. Calculate h(2).
15
Let z(y) = -y**2 + 26*y + 26. Give z(27).
-1
Let s(a) = -2*a**3 + 39*a**2 - 20*a + 8. Determine s(19).
-11
Let g(v) = -2*v + 17. Give g(7).
3
Let k(i) = 22*i - 5. Give k(-3).
-71
Let p(k) = 9*k + 5. Calculate p(-1).
-4
Let y(v) = -9*v**2 - 2*v + 4. What is y(2)?
-36
Let h(r) = 2*r**3 - 9*r**2 - 6*r + 2. Calculate h(7).
205
Let l(n) = 10*n**2 - n + 1. Determine l(1).
10
Let f(t) = 11*t - 42. Give f(4).
2
Let w(z) = z**2 + 6*z - 11. Determine w(-7).
-4
Let g(s) = s**2 - 31*s - 71. Calculate g(34).
31
Let m(n) = n. What is m(7)?
7
Let j(m) = 4*m + 98. Determine j(-24).
2
Let o(i) = i**2 - 8*i - 42. Give o(-4).
6
Let u(a) = -8*a**2 - 38*a + 4. What is u(-5)?
-6
Let g(r) = r**3 + 10*r**2 + 13*r - 23. Determine g(-8).
1
Let q(j) = -8*j - 4. Give q(-3).
20
Let j(p) = p**2 - 34*p + 37. Calculate j(33).
4
Let n(t) = 3*t**3 - 13*t**2 - 8*t - 12. Determine n(5).
-2
Let f(v) = v**3 - v**2 + 5*v + 5. Calculate f(-1).
-2
Let f(p) = -2*p**2 - 21*p - 52. What is f(-5)?
3
Let y(g) = -7*g**2 - g. Calculate y(2).
-30
Let r(i) = 5*i**2 + 4*i + 23. Give r(-3).
56
Let u(d) = -d**3 - 7*d**2 + 10*d + 14. Determine u(-8).
-2
Let c(v) = 9*v. Give c(-5).
-45
Let o(c) = -2*c + 1. Give o(0).
1
Let o(l) = 4*l + 56. Calculate o(-13).
4
Let y(v) = v**2 - v + 3. Determine y(6).
33
Let s(u) = 4*u**3 + 3*u**2 + 3*u + 1. Give s(-1).
-3
Let t(q) = q**3 + 20*q**2 + 59*q - 80. Give t(-16).
0
Let g(w) = 3*w**3 + 3*w**2 - 4*w - 2. Give g(-3).
-4
|
{
"pile_set_name": "DM Mathematics"
}
|
is the third smallest value in h, p, r?
p
Let r be (9/(-6))/(-3) - (-170)/(-180). Which is the fourth smallest value? (a) -4/7 (b) 0.1 (c) 2/21 (d) r
b
Let w = -0.216 - 0.384. Which is the third biggest value? (a) -2/5 (b) -1/7 (c) w
c
Let x = 411.7 - 412. Which is the fourth smallest value? (a) 0.4 (b) 4 (c) 3 (d) x
b
Let i = 3.649 + -1.649. Which is the third biggest value? (a) i (b) -2/7 (c) -162
c
Let r(n) = -3*n - 8. Let w be r(-6). Let c be 40/16*(-2)/w. What is the third biggest value in c, -0.2, 1/8?
c
Suppose -s + 2 + 42 = n, -5*s + 5*n + 180 = 0. Let h be (s/(-32) + (-1)/4)/(-12). Which is the third biggest value? (a) -2 (b) h (c) -3
c
Let v(b) = -b**3 - 5*b**2 + 3*b - 7. Suppose -2*f + 14 = -4*f. Let a be v(f). Let q = 208/3 - a. What is the smallest value in -3, q, -4/3?
-3
Let n = -102 + -8. Let y = -109 - n. Let x = -0.1 + -0.3. Which is the third smallest value? (a) 5 (b) y (c) x
a
Let q = 18.89 + -19. Let g = -0.39 + q. Let j = -0.1 - g. Which is the biggest value? (a) -5 (b) 5 (c) j
b
Let y = 1.4082 - 0.0082. Let n = 1.3 + -0.3. Let k = y - n. Which is the second biggest value? (a) -5 (b) k (c) 3
b
Let i = 9 + -8.81. Let p = i + 2.81. Which is the smallest value? (a) p (b) -4 (c) 0
b
Let u = 1.82 + -1.42. Let o = 19.36 - 19. Let l = -0.4 + o. What is the smallest value in l, -1/9, u?
-1/9
Let t = -54 - -55. Let f = -8 - -13. Which is the third biggest value? (a) f (b) -1 (c) t
b
Let i = 4 + 3. Let v = i - 8.2. Let x = -31.3 + 31. Which is the biggest value? (a) v (b) -2 (c) x
c
Let g = 22 + -14. Let i(f) = 3*f**2 - 24*f. Let u be i(g). Let t = -19.4 - -19. Which is the second biggest value? (a) t (b) u (c) 1
b
Let n = -75 + 77. Let t = -5 - -6. Let f be (-3)/(-9) - t/(-2). What is the second biggest value in 4, n, f?
n
Suppose -4*j - 3*w - 11 = 8, 3*j + 14 = -2*w. Which is the fourth smallest value? (a) 1 (b) -2 (c) -2/13 (d) j
a
Let m = 10086/13 - 776. What is the third smallest value in m, -24, -6?
m
Let o = -78.6 + 76.6. Which is the third biggest value? (a) -0.4 (b) 25 (c) o (d) 0.3
a
Let t = 0 - 0. Let p = -4 + 12. Let s = p - 12. Which is the second smallest value? (a) s (b) -1 (c) t
b
Let v = 0.04 - 0.1. Let f = 0.94 - v. Let g = 0.02 - 0.52. What is the smallest value in f, 2/13, g?
g
Suppose 0 = -5*z - 2*o - 15, -o - 2 - 3 = 0. Let m be -1*(z + 1/((-20)/(-28))). Let i = -0.23 - -0.03. Which is the second smallest value? (a) m (b) -6 (c) i
a
Let u = -2885/3 - -962. What is the third smallest value in 0.5, u, -270?
0.5
Let b = -15 + 15.3. Let z(l) = -l**2 + 11*l + 14. Let a be z(12). What is the fourth smallest value in a, 5, 2/3, b?
5
Let z = 16 - 16. Let f = z + -7. Let y = -4 - f. Which is the second biggest value? (a) 0.2 (b) -0.5 (c) y
a
Let u = 0.4 + 0. Let c = -0.23 + -5.79. Let j = 1.02 + c. What is the biggest value in j, -0.5, u?
u
Let l = 83.121 - 0.221. Let o = l + -70. Let x = -13 + o. What is the second biggest value in 2/9, 1/5, x?
1/5
Let x = -6157 + 6157.1. Let o = -0.06 + 0.66. What is the third biggest value in 5, o, 3, x?
o
Let c = -1895.655 - -1891. Let w = c + -0.485. Let a = w + 0.14. What is the biggest value in 0.7, a, -1/8?
0.7
Let z = 149/7 + -21. Let x = -2.8 + -1.2. Which is the third biggest value? (a) z (b) x (c) 1
b
Let o = 65/7 + -71/7. Let t = o - -43/42. Which is the third smallest value? (a) 7 (b) t (c) -5/2
a
Let i = 0.095 + -0.095. Let t = 4414/45 - 486/5. Let f = t + -67/45. What is the second smallest value in i, -2, f?
f
Suppose -132 = 6*i - 9*i. Suppose -4*b + x = 44, -4*b - x - i = 2*x. What is the smallest value in 1, -4, b?
b
Let q = 635.6 - 636. Let k = -6 - -8. Let d be (-12)/(-105)*10/(-4). Which is the biggest value? (a) d (b) q (c) k
c
Let r = -1406 + 1416.19. Let j = r - 10. Let p = -0.21 - j. Which is the biggest value? (a) -5 (b) p (c) -0.5
b
Let r be 0 + (320/72 - 4). Let a = 0.9 + -6.9. What is the third biggest value in -3, a, r?
a
Let x = -37.069 + 0.069. Let z = -32 - x. Let d = -13 + 8. Which is the third smallest value? (a) z (b) d (c) 8
c
Let a = 1.46 - 4.46. What is the biggest value in -4, 2, 6/23, a?
2
Let b = -3 + 3.2. Let m = 2.553 + -2.153. What is the third smallest value in -4, m, -5, b?
b
Let x = -8 - -3.6. Let h = 289.4 + -289. Let r = x + h. Which is the biggest value? (a) 5 (b) r (c) -1
a
Let p be (-1 - (-2)/4)*-72. Let o be (p/8)/(6/104). Let g be 299/o + -2*2. Which is the smallest value? (a) g (b) -0.2 (c) -5
c
Let w = -29.8 + 30.8. Which is the third biggest value? (a) -0.168 (b) w (c) 4/5
a
Let x = -86 - -86.098. Let d = x + -0.498. Let n = -3 - -3.5. Which is the second smallest value? (a) -1/5 (b) n (c) d
a
Let k = -2670.11 + 2684. Let d = -0.21 - k. Let f = -14 - d. Which is the third smallest value? (a) 2 (b) f (c) 0.3
a
Suppose -2*w - 13 = 15. Let z = w + 14. Let p be 10/(-3) + (-2)/(-6). Which is the second smallest value? (a) 1/2 (b) z (c) p
b
Suppose 1 = -k + 2. Let y(w) = 136*w**3 + 2*w**2 - 1. Let d be y(-1). Let m be 6/(-27) - (-51)/d. Which is the third biggest value? (a) k (b) -3 (c) m
b
Let d = -110 - -110.001. Let l = d + 0.059. What is the third smallest value in -2, -0.4, 2, l?
l
Let o = -1.4 - 0.4. Let v = o - -2. Let z = -0.0414 + 0.1414. Which is the biggest value? (a) v (b) z (c) -0.5
a
Let t = 4 + -3. Let l = -3/2656 - 1319/7968. What is the third biggest value in t, 0.2, l?
l
Let t(f) = -f. Let q be t(-4). Suppose 19 = -4*b + 3*b + q*m, -2*m + 8 = 0. Let a(o) = -5*o - 1. Let u be a(b). What is the second biggest value in 5, -3, u?
5
Let v = 0.0762 - -1.9238. Which is the second biggest value? (a) 0.25 (b) 2/37 (c) v
a
Let o = 160.4 - 160. What is the fourth biggest value in -1/4, -1.7, -0.1, o?
-1.7
Let l = 8.6 - 9. Let n = 7 - 29/4. Which is the second biggest value? (a) n (b) l (c) 2 (d) -2/9
d
Let r = -16.8 + 11. Let p = -6 - r. What is the fourth smallest value in 0.2, p, 6/11, 1?
1
Let n = 11.68 + -9.68. Which is the biggest value? (a) 5 (b) 31 (c) n (d) 1
b
Let u = 7 - 6.5. Let z(n) = n**2 - 9*n - 6. Let q(x) = -x + 10. Let k be q(0). Let b be z(k). What is the second biggest value in b, 0, u?
u
Suppose 0 = 2*b - 0*b. Let s = 8420 + -42104/5. What is the fourth biggest value in 0.1, -0.043, s, b?
s
Suppose -3*n - 5*g = 16, -2*n - 5*g - 20 = -6. What is the fourth biggest value in -28, -0.05, 1/3, n?
-28
Let l = -210 + 211. Which is the second biggest value? (a) -10/3 (b) -2 (c) l (d) -1/2
d
Let f = 7.88 - -0.12. Let l = -10 + f. Let q = l - -4. What is the third smallest value in -1/7, q, 1/5?
q
Let t = 0.0393 - -0.0607. Let o = 3.03 + -0.03. Which is the third biggest value? (a) 0.3 (b) o (c) 4 (d) t
a
Let x = 1 - 0. Let k = -2 - x. Let f = 12.1 - 11.9. Which is the second biggest value? (a) -0.3 (b) f (c) k
a
Let f = 1.3 - 2.3. Let m(y) = -22*y - 4. Let v be m(-1). Which is the smallest value? (a) 3 (b) 0 (c) v (d) f
d
Let j = 478/845 + -28/169. What is the third smallest value in j, 0.2, 8?
8
Let r = -16 + 15.93. Let m = 0.07 + r. What is the third biggest value in 2, 3, m?
m
Suppose -4*v + 0*v - 3*q - 50 = 0, -2*q - 38 = 3*v. Which is the third biggest value? (a) v (b) -4/3 (c) -5
a
Let u = -6.4 - -6. Suppose -5 - 5 = 5*p. Let h be 3*(p/7 + 27/21). What is the second smallest value in 0.3, h, u?
0.3
Let z = -3.74 - -2.8. Let r = 46 + -45.94. Let x = z - r. Which is the third biggest value? (a) x (b) 1/7 (c) 2/5
a
Suppose 0 = -8*g - 371 + 427. Which is the biggest value? (a) -4 (b) g (c) -2/31
b
Let l = -7.97 - -12.97. Let i = 4 + -4. What is the biggest value in i, -3, -2/11, l?
l
Let q = -4/247 + 562/4199. Let w = -411 - -411.4. What is the smallest value in -1, w, q?
-1
Let h = 2/67 - 144/335. Let n = -89/36 - -20/9. What is the biggest value in 1, n, 8, h?
8
Let s = 0.3 - 1.3. Let d = -1553.24 + 1553. Which is the third smallest value? (a) s (b) -1/3 (c) d
c
Let l be 24/(-14) - (-2)/(-7). Let t = 1.3082 + -1.4082. Let g = -2/19 - 13/57. What is the third smallest value in g, t, l?
t
Let v = 2.51 + -2.43. Let s = 3.735 + 0.185. Let r = v + s. Which is the second biggest value? (a) -1 (b) r (c) 2
c
Let h = -61.0283 - 0.7417. Let m = 62 + h. What is the fourth smallest val
|
{
"pile_set_name": "DM Mathematics"
}
|
.
40/969
What is prob of picking 1 g, 2 p, and 1 e when four letters picked without replacement from ppggeeppg?
2/7
What is prob of picking 1 k and 1 n when two letters picked without replacement from {k: 3, n: 3, p: 1}?
3/7
Calculate prob of picking 1 b and 3 s when four letters picked without replacement from bbsssysl.
4/35
Calculate prob of picking 3 h when three letters picked without replacement from {h: 14, w: 5}.
364/969
What is prob of picking 1 e, 1 b, and 2 j when four letters picked without replacement from {b: 5, j: 4, e: 5}?
150/1001
Two letters picked without replacement from faadmcamfaaaaa. Give prob of picking 1 d and 1 c.
1/91
Two letters picked without replacement from {p: 1, a: 2}. Give prob of picking 1 p and 1 a.
2/3
Three letters picked without replacement from {h: 16, c: 4}. What is prob of picking 3 c?
1/285
Two letters picked without replacement from {j: 1, c: 4, v: 4, s: 1}. What is prob of picking 2 c?
2/15
What is prob of picking 1 w and 1 b when two letters picked without replacement from {m: 3, b: 1, w: 1}?
1/10
Three letters picked without replacement from {e: 2, v: 3, o: 4, l: 4, c: 1, a: 3}. Give prob of picking 1 a, 1 v, and 1 o.
9/170
Three letters picked without replacement from ddddfffppfdf. What is prob of picking 2 p and 1 f?
1/44
Two letters picked without replacement from oovvovfovfvvvfnovff. Give prob of picking 1 n and 1 o.
5/171
Two letters picked without replacement from {d: 2, k: 1}. What is prob of picking 1 k and 1 d?
2/3
Three letters picked without replacement from llssslsslssexld. Give prob of picking 2 l and 1 x.
2/91
Three letters picked without replacement from {w: 2, e: 1, j: 6, a: 2, p: 1}. What is prob of picking 2 a and 1 w?
1/110
What is prob of picking 2 h when two letters picked without replacement from lohlohuooohhhuooooot?
1/19
Three letters picked without replacement from oktffoktokfkot. What is prob of picking 3 k?
1/91
What is prob of picking 1 l and 1 n when two letters picked without replacement from gmlng?
1/10
Calculate prob of picking 2 y when two letters picked without replacement from rrrryyyyyyryryryyrr.
5/19
Two letters picked without replacement from dfzfszfvffdffzfy. Give prob of picking 1 y and 1 f.
1/15
Two letters picked without replacement from {x: 1, y: 1, i: 1, e: 2}. What is prob of picking 1 i and 1 y?
1/10
What is prob of picking 4 x when four letters picked without replacement from vwvvwvxvwwxvvv?
0
What is prob of picking 2 c and 1 t when three letters picked without replacement from {t: 3, w: 2, c: 7, f: 5}?
63/680
Two letters picked without replacement from {k: 7, y: 4}. What is prob of picking 1 y and 1 k?
28/55
What is prob of picking 1 m and 1 f when two letters picked without replacement from wwlmlcllf?
1/36
What is prob of picking 2 s, 1 r, and 1 e when four letters picked without replacement from {v: 2, r: 2, s: 2, e: 3}?
1/21
Four letters picked without replacement from uququqquqqqu. Give prob of picking 1 u and 3 q.
35/99
Three letters picked without replacement from dllozydllzzfzfdlly. Give prob of picking 2 z and 1 f.
1/68
Three letters picked without replacement from {c: 1, u: 4, z: 3, y: 2, m: 2, i: 2}. Give prob of picking 2 y and 1 z.
3/364
Two letters picked without replacement from {u: 4, r: 1, o: 8}. What is prob of picking 1 u and 1 o?
16/39
What is prob of picking 1 u, 1 f, and 1 w when three letters picked without replacement from foiwu?
1/10
What is prob of picking 1 h, 1 q, and 1 p when three letters picked without replacement from cpghcgbqp?
1/42
Three letters picked without replacement from ccoccexccebceebc. Give prob of picking 1 b and 2 c.
1/10
What is prob of picking 1 n, 1 t, 1 u, and 1 x when four letters picked without replacement from {x: 8, n: 3, u: 4, t: 4}?
32/323
Two letters picked without replacement from {s: 7, m: 11, h: 1}. What is prob of picking 1 s and 1 m?
77/171
What is prob of picking 1 s, 1 l, and 1 r when three letters picked without replacement from lqlrlrsrrlrsllrqrrl?
112/969
Four letters picked without replacement from rqjjqjojrrrioq. Give prob of picking 1 i, 1 r, 1 j, and 1 q.
48/1001
What is prob of picking 1 y, 1 g, and 2 a when four letters picked without replacement from {a: 4, c: 2, e: 1, g: 3, y: 1, p: 1}?
2/55
Calculate prob of picking 2 y, 1 f, and 1 s when four letters picked without replacement from xofsoxyogxyyyx.
6/1001
Two letters picked without replacement from uuususu. What is prob of picking 2 u?
10/21
Two letters picked without replacement from rwvwswyshvhv. Give prob of picking 1 h and 1 w.
1/11
Calculate prob of picking 2 m when two letters picked without replacement from cmmmmmmc.
15/28
Three letters picked without replacement from qisxg. What is prob of picking 1 i, 1 g, and 1 q?
1/10
Two letters picked without replacement from {y: 2, m: 1}. Give prob of picking 2 y.
1/3
Calculate prob of picking 1 y and 2 r when three letters picked without replacement from {p: 1, a: 1, i: 3, y: 3, r: 2, u: 1}.
1/55
What is prob of picking 1 k and 1 g when two letters picked without replacement from fkbxkkbkgbgkq?
5/39
What is prob of picking 1 f and 1 i when two letters picked without replacement from fxzfzi?
2/15
What is prob of picking 1 t and 2 e when three letters picked without replacement from aeeaataeezetezx?
6/91
Calculate prob of picking 2 i and 1 d when three letters picked without replacement from {i: 15, d: 5}.
35/76
Three letters picked without replacement from {q: 2, y: 2, r: 5}. What is prob of picking 2 y and 1 r?
5/84
What is prob of picking 1 w, 1 e, and 2 g when four letters picked without replacement from {b: 3, w: 2, e: 7, g: 3}?
2/65
What is prob of picking 1 q, 1 s, and 1 c when three letters picked without replacement from stqqqqtqstqqtscctsq?
64/969
Four letters picked without replacement from {o: 8, e: 1, n: 11}. Give prob of picking 1 n, 2 o, and 1 e.
308/4845
Three letters picked without replacement from bbrzrbrrzrrbrbbrzbr. What is prob of picking 3 r?
28/323
Calculate prob of picking 1 n, 1 a, and 2 j when four letters picked without replacement from {n: 2, u: 2, a: 2, j: 8, e: 1}.
16/195
Two letters picked without replacement from etuu. Give prob of picking 1 e and 1 t.
1/6
What is prob of picking 2 k when two letters picked without replacement from vxtjjxkvkjkxgxx?
1/35
Calculate prob of picking 1 a and 1 x when two letters picked without replacement from xuuaamxugimmamuuagam.
1/19
Four letters picked without replacement from ggghtggxixttgrgggg. What is prob of picking 1 r, 1 t, and 2 x?
1/1020
Two letters picked without replacement from whwccicchr. Give prob of picking 1 c and 1 w.
8/45
What is prob of picking 1 f and 1 c when two letters picked without replacement from {v: 2, j: 8, u: 1, d: 1, f: 1, c: 1}?
1/91
Calculate prob of picking 1 d and 1 y when two letters picked without replacement from kikkdkyykkik.
1/33
Four letters picked without replacement from kgnggnkng. What is prob of picking 1 k and 3 n?
1/63
Two letters picked without replacement from {e: 1, u: 3, t: 1, b: 1, h: 5}. What is prob of picking 1 b and 1 h?
1/11
Calculate prob of picking 2 z when two letters picked without replacement from zzzzzzzzzppzzpzzzp.
91/153
Four letters picked without replacement from rgrrrrrgrrg. Give prob of picking 4 r.
7/33
What is prob of picking 2 i, 1 r, and 1 k when four letters picked without replacement from iiiiiiiiirikii?
6/91
Two letters picked without replacement from {j: 1, l: 1, i: 1, m: 2, x: 1, z: 1}. What is prob of picking 1 z and 1 x?
1/21
Two letters picked without replacement from {a: 13, w: 1, m: 3}. What is prob of picking 1 m and 1 w?
3/136
Calculate prob of picking 2 c when two letters picked without replacement from ccccwwwcwcckccwcwcw.
55/171
Three letters picked without replacement from {r: 5, u: 2, m: 1, c: 1}. Give prob of picking 2 u and 1 m.
1/84
Two letters picked without replacement from {x: 3, d: 17}. Give prob of picking 2 d.
68/95
Two letters picked without replacement from {q: 1, p: 3, x: 5, i: 1, y: 1, m: 1}. What is prob of picking 1 m and 1 x?
5/66
Four letters picked without replacement from bgvsbvmhm. Give prob of picking 1 b, 1 v, 1 s, and 1 g.
2/63
Calculate prob of picking 2 h and 1 j when three letters picked without repl
|
{
"pile_set_name": "DM Mathematics"
}
|
(i))?
2704*i**4
Suppose 2*c + 3*c - 10 = 0. Let q(k) = -k**2 + 8*k**2 - k**c. Let d(b) = 17*b + 20*b - 35*b. Give q(d(v)).
24*v**2
Let i = 4 - 0. Let r(o) = -4*o**2 - 2*o. Let x(p) = 5*p**2 + 3*p. Let z(m) = i*x(m) + 6*r(m). Let a(f) = -2*f**2. Calculate a(z(l)).
-32*l**4
Let r(d) be the second derivative of d + 0 - 1/3*d**3 + 0*d**2. Let v(a) be the third derivative of -a**5/30 + 3*a**2. What is v(r(m))?
-8*m**2
Let f(h) = -h**2 - 3*h. Let w(o) = -o**2 - 4*o. Let v(d) = 4*f(d) - 3*w(d). Let x(j) = 32*j**2. What is x(v(g))?
32*g**4
Let a(j) = -3. Let f(p) = 2*p**2 - 5. Let g(z) = -5*a(z) + 3*f(z). Let s(w) = 11*w**2. Calculate g(s(b)).
726*b**4
Suppose 3*b + 5*r + 23 = 4*b, -r - 19 = -2*b. Let t(m) = 6*m + 4*m - b*m. Let c(i) = 23*i**2. Give t(c(h)).
46*h**2
Let b(o) be the second derivative of 0 + 0*o**3 + 1/12*o**4 + 6*o + 0*o**2. Let i(p) = -p. Let x(k) = -7*k. Let m(l) = -24*i(l) + 3*x(l). What is b(m(g))?
9*g**2
Let x(q) = 2*q**2. Let c(h) be the third derivative of 0*h**3 + 0*h + 6*h**2 - 1/30*h**5 + 0*h**4 + 0. What is c(x(v))?
-8*v**4
Let q(x) = -4*x**2. Let k(b) = 2*b - 3. Let c be k(2). Let s be 0/c + (7 - 5). Let y(f) = 2*f + f + s*f - 4*f. Calculate y(q(i)).
-4*i**2
Let j(d) = d**2 - 3*d - 163. Let b(t) = -92*t + 1. Determine b(j(w)).
-92*w**2 + 276*w + 14997
Let x(k) = 2*k**2. Suppose -4*j = -0 - 20, 0 = 2*s + 2*j - 14. Let c(t) = 19*t**s - 22*t + 22*t. Determine x(c(f)).
722*f**4
Let o(n) = n + 5. Let h = 21 - 20. Let p(r) = -1. Let j(q) = h*o(q) + 5*p(q). Let v(c) = 22*c. What is j(v(b))?
22*b
Let p(o) = -9025*o**2. Let z(c) = 2*c - 32. What is z(p(u))?
-18050*u**2 - 32
Let r = 27 + -37. Let f be 2 + -2 - r*2. Let h(d) = 5*d + f - 20. Let p(k) = -2*k. What is p(h(x))?
-10*x
Let c(i) = -2*i. Suppose 3*l - 3*v + 1 = 2*v, 5*l = 3*v + 25. Let m(a) = 42 - 42 - l*a. Determine c(m(r)).
16*r
Let t(w) = 2*w. Let k(r) = -2*r**2 - 6 - 16 + 17. Determine t(k(g)).
-4*g**2 - 10
Let s(f) = 408*f**2 + f - 1. Let z(c) = -8*c. Give z(s(q)).
-3264*q**2 - 8*q + 8
Let n(v) = -43*v**2. Let s(d) be the first derivative of d**3 - 251. What is n(s(t))?
-387*t**4
Let b(m) be the third derivative of m**5/20 + 4*m**2 + m. Let j(a) be the second derivative of -19*a**3/6 + 16*a. Give b(j(p)).
1083*p**2
Let b(q) = 72*q**2 - 5*q. Let d(a) = -26*a. Determine b(d(r)).
48672*r**2 + 130*r
Let i(h) = 1. Let r(a) = -a - 6. Let l(x) = 6*i(x) + r(x). Let c(t) = 7*t + 2 - 2 + 5*t. Give l(c(y)).
-12*y
Let g(p) = -48*p**2 - 51*p**2 + 98*p**2. Let f(i) = 432*i**2. Give g(f(o)).
-186624*o**4
Let m(d) = 4*d**2. Let i(a) = 16*a + 7. Let p(g) = -2*g + 2. Let q(x) = -i(x) + 3*p(x). What is q(m(l))?
-88*l**2 - 1
Let c(q) = -10*q. Let t(f) be the first derivative of 4 + 0*f + 0*f**3 - 1/2*f**2 + 1/12*f**4. Let n(x) be the second derivative of t(x). Give c(n(m)).
-20*m
Let d(h) = 10*h**2. Let k(l) = 2*l**2 + 5334*l. Give k(d(m)).
200*m**4 + 53340*m**2
Let y(w) be the second derivative of -w**4/12 + w. Let m(q) = -q**3 - 7*q**2 + 17*q - 6. Let u be m(-9). Let j(i) = 0*i + u*i - 7*i + 7*i. Calculate y(j(c)).
-9*c**2
Let w(c) = 16*c**2 - 78. Let j(h) = -42*h. Calculate j(w(o)).
-672*o**2 + 3276
Let i(x) = 21*x. Suppose 0 = 11*p - 10*p - 2. Let l(m) = m + m + m**p - 2*m. Calculate l(i(d)).
441*d**2
Let x(g) = -10*g**2 - 117. Let b(q) = -8*q. Give b(x(m)).
80*m**2 + 936
Let p(t) = 0*t**2 - t**2 + 3*t**2. Let r(x) = 6*x - 10. Let f(o) = -5*o + 8. Let q(z) = -5*f(z) - 4*r(z). Calculate q(p(k)).
2*k**2
Let p(f) = 196 - 3*f - 100 - 96. Let z(k) = -19*k. Calculate z(p(h)).
57*h
Let o(t) = 2*t - 203. Let l(f) = -2*f**2 + 2*f + 1. Let g(k) = 9*k**2 - 6*k - 3. Let p(y) = g(y) + 3*l(y). Give p(o(s)).
12*s**2 - 2436*s + 123627
Let v(u) = u**2. Let q(l) = -28235*l - 2. Determine q(v(o)).
-28235*o**2 - 2
Let k(g) = -2*g**2. Let q(o) = 73483*o. Give k(q(t)).
-10799502578*t**2
Let g(q) = -5*q. Let w(n) be the second derivative of 11*n**3/6 - 51*n. What is w(g(x))?
-55*x
Let u(k) = 5*k**2. Let n(x) be the third derivative of -63*x**4/8 + 22*x**2. Let l(c) = 10*c. Let o(a) = -56*l(a) - 3*n(a). What is o(u(p))?
35*p**2
Let n(m) = -4*m. Let t(p) = -64*p**2 + 37. Let y(i) = 32*i**2 - 20. Let u(q) = 6*t(q) + 11*y(q). Calculate u(n(c)).
-512*c**2 + 2
Let d(z) = -9*z**2. Let x(w) = w**2 - 9*w + 18. Let v(m) = 2*m - 4. Let r(q) = -9*v(q) - 2*x(q). Calculate r(d(i)).
-162*i**4
Let y(q) be the third derivative of -q**5/10 - q**2. Let o(a) be the third derivative of -a**5/20 + 1247*a**2 - 2. What is o(y(f))?
-108*f**4
Let z(w) be the second derivative of 11*w**4/12 + w**2 - 62*w. Let i(h) = 5*h**2. Give i(z(f)).
605*f**4 + 220*f**2 + 20
Let r(h) = -210*h + 103*h + 111*h. Let g(y) = -58*y**2. Give g(r(d)).
-928*d**2
Let b(o) = -3*o**2. Let w(p) = -22*p**2 + 56984*p - 56984*p. Calculate b(w(t)).
-1452*t**4
Let b(q) = -52*q**2 + 1. Let y(z) = -5*z - 4. Let s(n) = 4*n + 3. Let g(w) = 4*s(w) + 3*y(w). What is b(g(m))?
-52*m**2 + 1
Let f(j) be the third derivative of 2*j**5/15 + 2*j**2 + 5*j. Let c(r) = -19*r. Determine c(f(p)).
-152*p**2
Let k = -18 - -29. Suppose 10*b + 6 = k*b. Let f(h) = -b*h - 5*h + h. Let y(u) = u. What is y(f(r))?
-10*r
Let f(u) = 2*u**2 - 5*u - 5. Let i(r) = -r - 1. Let j(a) = f(a) - 5*i(a). Let x(g) = 0 - 7*g - 2*g + 0. Determine j(x(l)).
162*l**2
Let v(i) = -34*i. Let k(g) = -45114*g**2. Give v(k(h)).
1533876*h**2
Let k = -16 - -31. Let v be (-3)/k + 184/20. Let x(f) = v + 2*f - 9. Let t(o) = -24*o**2. What is x(t(a))?
-48*a**2
Let s(y) = -22*y. Suppose -12 = 7*f + 2. Let c(o) = 3*o**2 - 2*o + 2. Let i(m) = 3*m**2 - 3*m + 3. Let n(l) = f*i(l) + 3*c(l). Determine s(n(b)).
-66*b**2
Let i(j) be the second derivative of 37*j**3/6 + 3*j + 5. Let k(x) = -x**2. What is k(i(p))?
-1369*p**2
Let d(m) = 5*m**2 + 11. Let o(g) = 5*g**2 - 4*g. Let a(z) = 11*z**2 - 10*z. Let t(n) = -2*a(n) + 5*o(n). Give d(t(x)).
45*x**4 + 11
Let c(k) = -k + 1. Let b(f) = 38*f - 3. Let q(o) = b(o) + 3*c(o). Let h(p) = -p. What is q(h(j))?
-35*j
Let x(z) = -2*z. Let u(s) be the second derivative of 0*s**2 + 0 - 7/6*s**3 - 19*s. Calculate u(x(l)).
14*l
Let n(p) = -193*p**2. Let f(v) = -1499*v. What is n(f(i))?
-433671193*i**2
Let l(b) = 2*b - 8*b - 6*b + 14*b. Let n(x) = x + 41. Give n(l(a)).
2*a + 41
Let s(q) = -1254*q. Let v(k) = 81*k - 5. Give s(v(g)).
-101574*g + 6270
Let c(g) = 945 - 981 - 5*g**2 - 2*g**2 + g**2 + 5*g**2. Let t(z) = 6*z**2. What is t(c(h))?
6*h**4 + 432*h**2 + 7776
Let y(i) = -3*i. Let g(c) = c - 1. Let f(q) = -3. Let x(k) = 2*f(k) - 6*g(k). Let s(t) = 4*x(t) - 9*y(t). Let a(u) = -2*u. Give s(a(p)).
-6*p
Let m(u) = -2*u**2 - 211*u + 4. Let y(h) = -3*h. What is m(y(k))?
-18*k**2 + 633*k + 4
Let k(x) = -110*x - 7. Let y(w) = -2*w**2. What is y(k(i))?
-24200*i**2 - 3080*i - 98
Let l(o) = 15*o. Let u(p) = -24*p + 1989. Determine u(l(c)).
-360*c + 1989
Let h(s) = 7*s**2 + 31*s + 108. Let u(o) = 9*o. What is h(u(t))?
567*t**2 + 279*t + 108
Let d(g) = -167*g**2. Let v(c) = 1408*c**2. Calculate d(v(j)).
-331071488*j**4
Let f(d) be the second derivative of -7*d**4/6 - 4*d. Let j(y) be the second derivative of -y**4/4 + 109*y. Give f(j(w)).
-126*w**4
Let l(f) be the second derivative of -7*f**3 - 3*f + 32. Let n(u) = u**2. Determine n(l(c)).
1764*c**2
Let w(v) = 3*v. Let t(h) = -28*h + 2. What is w(t(s))?
-84*s + 6
Let m(j) = 2*j**2. Let u(s) = 106*s**2 + 5*s. Let l(v) = 25*v + 2*v + 1547*v**2 - 434*v**2 + 26*v. Let o(x) = -5*l(x) + 53*u(x). What is o(m(w))?
212*w**4
Let y(m) be the third derivative of -m**5/20 + m**2. Let q(i) = -4*i + 2*i + 606 - 1213 + 607. What is y(q(r))?
-12*r**2
Let c(r) = -13*r. Let p(x) = 2*x - 8074. Determine p(c(l)).
-26*l - 8074
Let b(w) = -77*w**2 + 6*w. Let i(l) = 4544*l**2 - 355*l. Let r(a) = -355*b(a) - 6*i(a). Let h(o) = 15*o**2 + 9*o**2 - 34*o**2 + 11*o**2. Calculate r(h(q)).
71*q**4
Let i(z) = 2*z**2. Suppose 0 = -r + 5*f - 13, 0*f - 7 = r - 3*f. Let b(v) = 11*v**r + 5 - 3 - 2. What is b(i(u))?
44*u**4
Let v(a) = 115116*a - 1431. Let x(k) = -161*k + 2. Let o(s) = 2*v(s) + 1431*x(s). Let t(z) = z**2. Give o(t(g)).
-159*g**2
Let p(g) be the first derivative of -g**3/3 - 4. Let n(z) be the second derivative of 11*z**3/2 + 53*z. Determine p(n(f)).
-1089*f**2
Let t(d) = 1590824*d**2. Let a(c) = c. Determine t(a(i)).
1590824*i**2
Let g(r) = -4*r. Let t(c) be the first derivati
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate the remainder when v(1) is divided by 62/4 + (-2)/4.
12
Suppose -84 = 5*j - 604. Calculate the remainder when j is divided by 6*(-2 + 5)*((-18950)/(-300) + -61).
26
Suppose -4153 = -2*p - r, p - 5*r = 4*p - 6240. Calculate the remainder when 6230 is divided by p.
5
Let t = 22 + -13. Let b = -281 + 288. Let d(x) = 2*x**3 - 13*x**2 - 6*x + 13. Calculate the remainder when d(b) is divided by t.
2
Let d be 40*(-4 + 33/8). Calculate the remainder when 24 is divided by (d/(-3))/(10/(-30)).
4
Calculate the remainder when 1/((-1)/(-287)*1) is divided by (24/112*-7)/(1/(-12)).
17
Let t be 83307/441 + (-4)/(-42). Suppose 7*l + 2*l - t = 0. What is the remainder when l is divided by 4?
1
Suppose 329 + 2787 = 4*b. Let s = -724 + b. What is the remainder when s is divided by 6?
1
Suppose -547 = -5*u + i, 233 = -3*u + i + 560. Suppose 0 = 2*a - b - 54 - u, -6 = 3*b. What is the remainder when a is divided by 30?
21
Suppose 1 = -h + 10. What is the remainder when (-113 - 0)/(24 + -25) is divided by h?
5
Let q = 12 + -8. Let u = 31 - -2. Calculate the remainder when u is divided by 470/50 + q/(-10).
6
Let f(c) = -35*c**3 - 5881*c**2 - 159*c + 1541. Let l = -21 - -45. Suppose -4*a = -l - 48. Calculate the remainder when f(-168) is divided by a.
11
Suppose 2342 = 4*h - 2*z, 2*h - 499 = 4*z + 663. What is the remainder when h is divided by 154?
125
Let n(y) = 228*y - 93. What is the remainder when n(5) is divided by 115?
12
Suppose -157*q + 4660 = -152*q. Calculate the remainder when 1/(4/q) + 5 is divided by 10.
8
Let j(o) = -127*o + 8017. Let t be -6 - (-2)/(1 - 2). Calculate the remainder when j(62) is divided by 1/4 - 286/t.
35
Suppose 155 = 26*h + 51. Suppose -4*w + 16 = 0, 4*f - 8*f + 484 = h*w. Calculate the remainder when f is divided by 6.
3
Let o be (-1 - -4)*(-8)/96*-8. Calculate the remainder when 13 is divided by (64 - 60)*1*2/o.
1
Let t be (-26)/5 + -1 + (-1)/(-5). Let m = 19 + t. Let k = 30 - m. What is the remainder when 65 is divided by k?
14
What is the remainder when 20 + 31/(217/9849) is divided by 13?
10
Let m be (-5)/(-2)*(-64)/(-40). Suppose 0 = -m*v - v + 975. Let o = 397 - 364. Calculate the remainder when v is divided by o.
30
Let r be (-46)/(-8) + (-130)/(-104). Let g = 21 - r. What is the remainder when 26 is divided by g?
12
Suppose 0 = b + 4*u - 7, -2*b - 90 = 4*u - 112. What is the remainder when 36 is divided by b?
6
Let d = 4 - 2. Let z(s) = -118*s + 5557. Calculate the remainder when z(47) is divided by d.
1
Let k = 107 - 103. Suppose k*v = -v + 80. Calculate the remainder when 44 is divided by v.
12
Suppose 18*t + t = -2*t + 2646. Calculate the remainder when t is divided by 32.
30
Suppose -40 = 3*d + 5. Let o = d + -9. Calculate the remainder when 23 is divided by (o/(-7))/(14/49).
11
Suppose 6*y - 7*y = -16. Let f = y - 28. Let u(n) = -n**2 - 21*n - 36. What is the remainder when u(f) is divided by 19?
15
Suppose 0 = -740*b + 682*b + 15428. What is the remainder when b is divided by 121?
24
Let c(s) = -12*s**2 + 572*s - 33. Calculate the remainder when c(46) is divided by 314.
259
Let n(h) = 3 + 3*h + 11*h**2 + h**2 - 7*h**2. Suppose -78 = -3*v - 4*g - 24, -53 = -4*v + g. Calculate the remainder when n(-3) is divided by v.
11
Let h(s) = -s**2 + 25*s - 38. Suppose y - 5*p = 12, -y - 32*p + 28*p + 30 = 0. Calculate the remainder when 167 is divided by h(y).
27
Suppose -106783 - 150616 = -404*b + 10857. What is the remainder when 693 is divided by b?
29
Let l = -74 - -77. Suppose 0 = 4*n - n + l, 5*n = -3*g + 172. Calculate the remainder when g is divided by 21.
17
Let o = -356 + 940. Suppose -11*s = -76 - o. Suppose -2*p + s = 10*p. Calculate the remainder when 9 is divided by p.
4
What is the remainder when 4/(-22) + (147944/16)/((-22)/(-4)) is divided by 9?
7
Suppose -782 = 3*g - 26*g. What is the remainder when 73 is divided by g?
5
Suppose 3*y = 4*v + 4, v - 2*y + 1 + 5 = 0. Suppose -d + 5*t = 2*d - 24, 0 = 2*d + v*t. Calculate the remainder when -1*((3 - 3)/(-6) + -7) is divided by d.
1
Let v(y) = 8*y**2 + 3*y + 82. What is the remainder when v(-12) is divided by 582?
34
Let g = 10 - 12. Let o(i) = -11*i + 355. Calculate the remainder when (g - -2) + 2 + 2 is divided by o(32).
1
Calculate the remainder when 0 + 2 - (7 + -99) is divided by (-6)/((-5)/(-40)*-4).
10
Let d(f) = 4*f**2 - 3*f - 15. Let z(l) = 8*l + 21. Let n be z(-3). What is the remainder when 87 is divided by d(n)?
27
Let a = -883 - -886. Suppose 3*m = a*y + 159, -5*m + y + 3*y = -269. What is the remainder when 201 is divided by m?
30
Let t(r) = r**3 + 16*r**2 + 33*r - 15. Let a be t(-13). Suppose s - 15 = 4*o + o, 0 = -s + 5. What is the remainder when 59 is divided by a/14 + o/(-4)?
4
Let b = -857 - -515. Let t = b - -434. Calculate the remainder when t is divided by 31.
30
Suppose 90*c = 21*c + 2001. Calculate the remainder when 103 is divided by c.
16
Suppose 18 + 0 + 73 = 13*w. What is the remainder when 2028 is divided by w?
5
Let z(i) = 16*i**2 + 89*i - 227. Suppose 5*m + 60 = 2*l, -l + 2*l - 15 = -5*m. What is the remainder when z(-8) is divided by l?
10
Suppose -2*w - 4 = 0, -5*p + 119*w - 120*w = -2108. What is the remainder when p is divided by 402?
20
Let j(v) = 3*v**2 - 11. Let y be j(0). Let k(t) = -t**3 + 3*t**2 + 2*t - 2. What is the remainder when (-2)/y - (-150)/22 is divided by k(2)?
1
Let o(u) = 23*u**2 + 2000*u + 217. Calculate the remainder when o(-89) is divided by 1461.
17
Let d = -78749 + 78761. Suppose 4*k - 5*f = 17, -4*f + 5*f = -3*k - 11. Calculate the remainder when d is divided by -1 + (-2)/k - -4.
0
Let m(b) be the third derivative of -9*b**4/8 - 12*b**3 + 2*b**2 - 36. What is the remainder when 65 is divided by m(-4)?
29
Let w = -185 - -194. Suppose -2*d - d = w, 11 = t + 2*d. Calculate the remainder when 49 is divided by t.
15
Suppose 6*h = 75 + 117. Suppose -5*l + 62 = h. What is the remainder when (-12)/14*(-14)/2 is divided by l?
0
Suppose -18*c + 12*c = 4230. Let z = -700 - c. Calculate the remainder when 9 is divided by z.
4
Let l be 14/(-70) + 331/5. What is the remainder when (0 - -1)*(l + -7) is divided by 12?
11
What is the remainder when 459 is divided by (-82)/(-14) - (-10)/280*4?
3
Let v(u) = -2*u**3 + 13*u**2 - 144*u + 1072. Calculate the remainder when 4886 is divided by v(7).
11
Suppose 23*q = y + 28*q - 3, 5*y - 4*q = 160. Calculate the remainder when 669 is divided by y.
25
Suppose 8*g = 6*g - 8, 2*g = 24*v - 3248. What is the remainder when v is divided by 17?
16
Suppose -4*z + p = -3, -3*z = 2*p - 3 - 2. What is the remainder when 14/((-770)/(-33)) + (220/(-25))/(-2) is divided by z?
0
Let p be ((-21)/35 + 1)/((-3)/(-1485)). Suppose -43*w = 2*q - 45*w - p, 5*q - w - 491 = 0. What is the remainder when q is divided by 20?
18
Suppose -2*w - 9 = -3*x - 5*w, 0 = -4*x - 2*w + 6. Suppose -9*f + 1454 - 68 = x. Calculate the remainder when f is divided by 16.
10
Let t(l) = 2*l. Let m be (1 - (3/6)/(-1))*-6. Let n be (-122)/(-18) + (-2)/m. Calculate the remainder when 37 is divided by t(n).
9
Let p = 4043 - 3351. Calculate the remainder when p is divided by 228.
8
Suppose 2483*h = 2471*h + 1104. What is the remainder when h is divided by 8?
4
Suppose -3*o - 26 = 275*l - 277*l, o - 82 = -5*l. Calculate the remainder when 442 is divided by l.
10
Let h(v) = 2*v**2 + 17*v + 10. Let g be h(-8). Let f(j) = 3 - 4*j**g - j**3 + 6 + 17*j**2 - 4*j + 8*j. Calculate the remainder when f(13) is divided by 13.
9
Let g(i) = -3*i**2 + 0*i**2 - 2*i**2 - 37*i + 647 - 651. Suppose -5*y + 63 + 72 = 0. Calculate the remainder when y is divided by g(-7).
7
Suppose -6*u = 9 - 189. Let z(m) = 35*m - 469. What is the remainder when z(16) is divided by u?
1
Suppose 0 = -6*b + 5*b + 6. Let n(l) = 18*l - 94. Let k(d) = 6*d - 31. Let x(s) = -17*k(s) + 6*n(s). What is the remainder when x(12) is divided by b?
5
Let a(h) be the first derivative of -22 - 4/3*h**3 + 3/4*h**4 + 1/2*h**2 + h. What is the remainder when a(3) is divided by 26?
23
Let y be 3*(-129)/(-9)*7. Let j be 5 + 4/(-4)*1. Suppose j*f - y = -93. Calculate the remainder when f is divided by 15.
7
Suppose -d = -4*r + 37, -5*r + 50 - 1 = -4*d. Let b = -79 + 81. Suppose -b = 3*n - n, -64 = -3*z - 5*n. Calculate the remainder when z is divided by r.
5
Let g(u) = -2*u - 1. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the hundreds digit of i?
2
Suppose -2*t + 1999 = 3*d - 2308, 7187 = 5*d - t. What is the thousands digit of d?
1
Let b = -33073 - -100185. What is the units digit of b?
2
Let d be (5 + -3)*(12 + -7 - 4). What is the tens digit of 219852/120 + d/(-20) + 0?
3
Let w be 1/4 + (-252)/(-16). Suppose w*d - 6252 - 2388 = 0. Suppose -3*y - 12 + d = 0. What is the units digit of y?
6
Let t = 105 + -76. Let v(u) = 6*u - 34. What is the tens digit of v(t)?
4
Let p = 147 + -142. Suppose 3*g - p*g - 24 = 0. What is the units digit of (2 + 9/g*2)*114?
7
Let w be (201/(-4) - (-1)/2)*12. Let s = w - -1081. What is the tens digit of s?
8
Suppose -15*l - 4*l = 78273 - 296621. What is the tens digit of l?
9
Let w(g) = 533*g + 9254. What is the tens digit of w(0)?
5
Suppose -180*j + 119*j = -21964 - 7926. What is the units digit of j?
0
Let t(l) be the second derivative of 65*l**3/6 + l**2 - 23*l. Let p be t(-2). Let n = p + 258. What is the tens digit of n?
3
What is the units digit of (-100)/(-150) - 86330/(-15)?
6
Let b(l) = 32*l + 85. Suppose -3 = z, 4*z = -3*o - 14 + 29. What is the tens digit of b(o)?
7
Let i(r) = -2*r**2 - 5*r - 12. Let p be i(-8). Let l = p - -106. What is the tens digit of 5*3/5*118/l?
5
Let d(p) = 14*p + 2. Let x be d(1). Let l(w) = w**2 - 18*w - 2. Let g be l(24). Suppose -17*m = -x*m - g. What is the tens digit of m?
4
Suppose 782*n = 797*n - 16215. Suppose -19 = -3*x + 2. Suppose -n + 283 = -x*d. What is the tens digit of d?
1
Let q(y) = 9005*y**2 + 13*y + 9. What is the units digit of q(-1)?
1
Let o = 209 - 145. Let h = o - 26. What is the tens digit of h/133*(1 + 370)?
0
Let l = -57 - -65. Suppose 0 = -m + 5*p - l*p - 67, 3*p = 4*m + 193. Let u = m - -76. What is the tens digit of u?
2
Let b(d) = -d**2 + d + 5. Let y(v) = -v**2 + 2*v + 4. Let p(t) = -3*b(t) + 4*y(t). Let k be p(4). Let o(n) = 8*n**2 - 4*n + 22. What is the tens digit of o(k)?
0
Let t = 449 + 153. Suppose -7*l = 147 - t. Suppose -2*q + 59 = -l. What is the tens digit of q?
6
Suppose 8170 = 38*u + 1558. What is the tens digit of u?
7
What is the thousands digit of -3 + -12*(-9)/288 + (-125461)/(-8)?
5
Let p(k) = -4 + 6 - 54*k - 41*k + 1. Let h be p(-3). Suppose z + h = 5*z - 4*i, z - 2*i = 73. What is the tens digit of z?
7
Suppose -3*b = 2*a + 3*a - 1719, -3*b + 3*a + 1719 = 0. Suppose 4*i + 5*f + 9 - 1152 = 0, 2*i + f - b = 0. What is the hundreds digit of i?
2
Suppose 0 = -4*s - 4*l + 116604, -47*l = 4*s - 49*l - 116568. What is the thousands digit of s?
9
Let t = 214 + -212. Suppose -t*l = -10, 4*p = 2*l - 0*l + 166. What is the tens digit of p?
4
Let c(u) = u - 5. Let v = 40 - 31. Let f be c(v). Suppose -f*g - 9 = -s + 16, g = 5*s - 30. What is the units digit of s?
5
Suppose 127*o + 295641 - 50016 = 152*o. What is the tens digit of o?
2
Let j = -8335 + 20057. What is the hundreds digit of j?
7
Let i be 10/(-4)*(-2 + -6). Suppose -23*f = -i*f - 345. Suppose -p + f = s, 4*s - 458 = -0*s - 5*p. What is the hundreds digit of s?
1
Suppose 44*x - 179554 = 4058. What is the units digit of x?
3
Suppose 25114 = 2*m + k, 0 = 71*m - 66*m - 3*k - 62796. What is the thousands digit of m?
2
Let q = -6382 + 43261. What is the hundreds digit of q?
8
Let w = 3714 - 1794. Suppose 6*n - 25 = n, 5*v - 5*n = w. What is the tens digit of v?
8
Let n(r) = -1363*r - 63. Let a be n(3). What is the units digit of 140/(-15)*a/28?
4
Suppose -50 = -k - 45. Suppose 0*o = -4*h - k*o + 2177, 0 = 3*o - 15. What is the hundreds digit of h?
5
Suppose 6*c - 100 = 8. What is the tens digit of (2 - (-2091)/c) + (-28)/168?
1
Let p(m) = m**2 + 9*m + 5. Suppose 0 = 213*l - 212*l - 35. Let n = -28 + l. What is the units digit of p(n)?
7
Let a(f) = -17*f - 29. Let p be a(-2). Suppose 12 = 4*t, 3*t + 479 = p*m + t. What is the tens digit of m?
9
Suppose 126*w + 10 = 123*w - 5*p, -5*p - 40 = -3*w. Suppose -920 = -2*y + 2*a, w*y - 1987 = -a + 307. What is the units digit of y?
9
Let a = 6529 + -3317. What is the units digit of a?
2
Suppose 4*f + 4727 = 2*x - 68043, 36389 = x + 2*f. What is the thousands digit of x?
6
Suppose 8*c + 9883 = 24348 + 19519. What is the hundreds digit of c?
2
Let d(w) = w**2 + w - 19. Let b be d(6). Let j be -3*4*(b/6 + -4). Suppose -5*k + 594 = j*v + 103, 3*v + 6 = 0. What is the units digit of k?
9
Let m(s) be the second derivative of 11*s**5/120 - 17*s**4/24 - 8*s**3/3 + 16*s. Let p(j) be the second derivative of m(j). What is the units digit of p(9)?
2
Let j(a) = 122*a + 300. What is the tens digit of j(2)?
4
Let p(n) = -n**2 + 27*n - 144. Let u be p(20). What is the units digit of 130/u*20*5/(-10)?
5
Suppose -762 + 147 = -5*r. Suppose -3*d + 117 = -r. Suppose 0 = n - 8*s + 3*s - 16, -5*n + d = s. What is the tens digit of n?
1
Let q = 78938 + -54638. What is the hundreds digit of q?
3
Let h = -24212 + 41983. What is the ten thousands digit of h?
1
What is the tens digit of 1 - 4 - 153873/(-246)*(43 + -1)?
6
Let z(t) = -57*t + 41. Suppose 5*x - 14*q + 31 = -13*q, x + 4 = -2*q. What is the tens digit of z(x)?
8
Let j(l) = -3*l**3 + 134*l**2 - 112*l - 80. What is the hundreds digit of j(39)?
4
Let g = 337 + -242. Suppose 0 = 2*h - g - 27. What is the units digit of h?
1
Suppose -4*r + 5*m = -31, 5*r - 5 = 3*m + 24. Suppose -5*d + 2560 = r*b, -b + 4*d = 9*d - 625. What is the hundreds digit of b?
6
Suppose -4*x - 5*i + 36 = 0, x + i = 5*x - 12. Suppose -x*q + 1879 = 2*c + q, 4 = -4*q. What is the tens digit of c?
4
Let x(c) = 5166*c - 516. What is the tens digit of x(1)?
5
Suppose -16*b = -15*b - 1473. Let r = 174 + b. What is the tens digit of r?
4
Suppose 61 - 6 = 11*i. Suppose 8*z - 4*z + i*w = 927, -z = -3*w - 253. What is the units digit of z?
8
Let l(u) = 475*u + 687. What is the units digit of l(18)?
7
Let w(a) = -2*a**3 + 8*a**2 - a + 10. Let t be w(4). Suppose -5*q = 5*i - 2170, -t*q = -8*q - 3*i + 868. What is the units digit of q?
4
Let m(a) = 2571*a + 3. Let k be m(1). Let u = -1272 + k. What is the units digit of u?
2
Let b be (-136)/10 - (-10)/(-175)*7. Let o(t) = t**2 + 8*t + 26. What is the tens digit of o(b)?
1
Suppose 101*o - 336008 - 96070 = 0. What is the tens digit of o?
7
Let i = 15734 - 10227. What is the thousands digit of i?
5
Let w be (-4)/(-1) - (-22 + 70). Let q = w - -58. Suppose q*r = 13*r + 52. What is the tens digit of r?
5
Suppose 16 = 8*f - 0*f. Suppose 6*i + f*i = 1768. What is the units digit of i?
1
Let q = -714 + 789. What is the tens digit of 99120/q - (-2)/5?
2
Suppose -c + 0*c + 234 = 0. Suppose -6*g + g + 3*t = 529, 4*g - 4*t + 428 = 0. Let j = c + g. What is the hundreds digit of j?
1
Let n(o) = 4*o**2 - 17*o - 15. Let x be n(10). Suppose -h + 5*h = -5*g + 1139, 0 = g + 4*h - x. What is the hundreds digit of g?
2
Let u = 1285 + -732. Let v = 952 - u. What is the tens digit of v?
9
What is the units digit of (3/(-9) + (-203)/(-87))*11311/2?
1
Let j be 82*(-3 + 66/12). Suppose -3*k + j + 98 = 4*h, -4*k + 4 = 0. What is the units digit of h?
5
Let i = -26612 + 74416. What is the ten thousands digit of i?
4
Let r be ((-3)/(-4))/(2/8). Suppose 216*a + 2*l - 17 = 215*a, -l = -4*a + 5. Suppose a*y - 12 = -y, 0 = -3*z - r*y + 15. What is the units digit of z?
2
What is the hundreds digit of (-630)/(-720) + 169321/8?
1
Suppose -106 + 11 = 5*n. Let p(c) = 18*c**2 + 0*c**3 + c**3 - 1070671*c + 1070653*c + 21. What is the units digit of p(n)?
2
Let n = -175 + 179. Let y = 169 + n. What is the hundreds digit of y?
1
Suppose c = 18*c - 123760. What is the hundreds digit of c?
2
Let y = 42864 + -17025. What is the tens digit of y?
3
Let k(a) = -698*a**3 - 3*a**2 - 141*a - 571. What is the hundreds digit of k(-4)?
6
Let b = 11406 - 6722. What is the tens digit of b?
8
What is the tens digit of 2/20 + -4*799545/(-200) + 5?
9
Let b(k) be the third derivative of -141*k**4/8 - 25*k**3/6 + 3*k**2 + 2*k. What is the units digit of b(-3)?
4
Let d be 427/(-122)*(18 + 0). Let u = d + 635. What is the units digit of u?
2
Suppose 0 = -7*c + 111 + 15. Let b be (2 + (-25)/2)*48/c. What is the hundreds digit of 3 - b/(-10) - (-2056)/20?
1
Let g = -1133 + 3073. Suppose g = 3*q - 0*q - 5*f, 0 = -q + 3*f + 640. Suppose 0 = -6*j + 227 + q. What is the units digit of j?
7
Suppose 0 = -564*f + 570*f - 5364. What is the tens digit of f?
9
Suppose 0 = -3*t - y
|
{
"pile_set_name": "DM Mathematics"
}
|
1/12
Four letters picked without replacement from isshdfsiiiyhyysyhyif. Give prob of picking 1 f, 1 d, and 2 h.
2/1615
Two letters picked without replacement from llyllililiiiliiiit. Give prob of picking 1 y and 1 t.
1/153
Calculate prob of picking 2 u and 2 k when four letters picked without replacement from uunukyynfkkntnknkntn.
2/323
Two letters picked without replacement from {z: 9, o: 1, v: 4}. Give prob of picking 2 v.
6/91
Calculate prob of picking 2 g and 1 s when three letters picked without replacement from sssggssssssssssssss.
1/57
Calculate prob of picking 4 h when four letters picked without replacement from {h: 10}.
1
What is prob of picking 1 b and 1 h when two letters picked without replacement from {b: 4, h: 2, w: 1}?
8/21
Two letters picked without replacement from ligliiiliguil. What is prob of picking 1 l and 1 i?
4/13
What is prob of picking 1 t and 1 u when two letters picked without replacement from {m: 1, t: 1, u: 1, y: 2}?
1/10
Calculate prob of picking 3 q and 1 l when four letters picked without replacement from {s: 1, f: 1, l: 5, q: 3, u: 5}.
1/273
Four letters picked without replacement from {q: 9, g: 9}. Give prob of picking 4 q.
7/170
What is prob of picking 2 v when two letters picked without replacement from {v: 3, x: 5}?
3/28
What is prob of picking 2 b and 1 o when three letters picked without replacement from bbooibqibi?
1/10
What is prob of picking 1 u and 2 p when three letters picked without replacement from {p: 3, u: 1}?
3/4
Calculate prob of picking 2 o when two letters picked without replacement from {o: 2, c: 2}.
1/6
Two letters picked without replacement from ncnrncc. What is prob of picking 2 n?
1/7
Two letters picked without replacement from jjtt. Give prob of picking 1 t and 1 j.
2/3
Calculate prob of picking 1 u, 1 h, 1 w, and 1 k when four letters picked without replacement from wcuhkwcb.
1/35
Four letters picked without replacement from {k: 3, z: 3, i: 1, m: 3, h: 2, b: 2}. What is prob of picking 1 k, 2 m, and 1 h?
18/1001
Two letters picked without replacement from {h: 1, l: 8, u: 1, p: 6}. Give prob of picking 2 p.
1/8
Three letters picked without replacement from bdhbbdb. Give prob of picking 1 d and 2 b.
12/35
Calculate prob of picking 1 h and 3 u when four letters picked without replacement from {h: 2, u: 4, s: 10}.
2/455
Two letters picked without replacement from {d: 1, s: 6, r: 3, x: 3}. What is prob of picking 1 r and 1 s?
3/13
Two letters picked without replacement from {w: 2, i: 3}. Give prob of picking 2 w.
1/10
Three letters picked without replacement from lggycgccycgycgcyggcc. Give prob of picking 1 l and 2 g.
7/380
Two letters picked without replacement from mmbbnmmmmmmn. Give prob of picking 2 b.
1/66
Calculate prob of picking 1 k, 1 t, and 1 o when three letters picked without replacement from {n: 1, o: 6, p: 1, b: 1, t: 2, k: 9}.
9/95
Three letters picked without replacement from {h: 2, v: 1, k: 4, r: 1, c: 2, e: 4}. Give prob of picking 1 c, 1 k, and 1 e.
8/91
Two letters picked without replacement from qnnvcvvqvncoxxoqnxqo. Give prob of picking 1 n and 1 q.
8/95
Three letters picked without replacement from lllllrrerrleeer. Give prob of picking 2 l and 1 r.
15/91
What is prob of picking 1 r and 2 l when three letters picked without replacement from {e: 2, l: 2, r: 4}?
1/14
Two letters picked without replacement from {g: 2, a: 5}. Give prob of picking 2 a.
10/21
Two letters picked without replacement from {v: 1, x: 2, p: 3, g: 1, y: 3, c: 1}. Give prob of picking 2 y.
3/55
Three letters picked without replacement from {b: 2, y: 1, h: 1}. What is prob of picking 1 y, 1 b, and 1 h?
1/2
Calculate prob of picking 4 w when four letters picked without replacement from {w: 15, n: 5}.
91/323
Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {i: 1, u: 13, d: 1}.
1/105
What is prob of picking 1 l, 1 p, and 1 f when three letters picked without replacement from wpwwwlwlwllfwllwwlw?
7/969
Two letters picked without replacement from {v: 1, g: 2, c: 1, n: 2, t: 1, k: 1}. What is prob of picking 1 c and 1 t?
1/28
Two letters picked without replacement from gattwgtgggaawtgtaeeg. What is prob of picking 2 a?
3/95
Two letters picked without replacement from {j: 14, m: 1}. What is prob of picking 2 j?
13/15
Calculate prob of picking 1 e and 3 u when four letters picked without replacement from eeeeeeuueeu.
4/165
What is prob of picking 1 c and 1 o when two letters picked without replacement from {k: 2, r: 5, c: 3, o: 1, b: 1}?
1/22
Two letters picked without replacement from jjjjjjjz. What is prob of picking 1 z and 1 j?
1/4
Three letters picked without replacement from xyyxyxxxxyx. What is prob of picking 2 y and 1 x?
14/55
Two letters picked without replacement from vvovnvn. Give prob of picking 2 n.
1/21
Three letters picked without replacement from {o: 4, u: 1, v: 1, d: 1, f: 1}. What is prob of picking 1 f and 2 o?
3/28
Four letters picked without replacement from {k: 1, i: 5, w: 5, d: 5}. What is prob of picking 2 d, 1 w, and 1 i?
25/182
Four letters picked without replacement from nnnunnunnuunu. What is prob of picking 4 n?
14/143
Calculate prob of picking 1 l and 2 i when three letters picked without replacement from lnviiiviinii.
21/220
What is prob of picking 1 o and 1 f when two letters picked without replacement from {o: 5, f: 1, k: 3}?
5/36
Calculate prob of picking 1 g and 1 o when two letters picked without replacement from {g: 2, o: 2}.
2/3
What is prob of picking 1 b, 1 k, and 1 j when three letters picked without replacement from jojokkgbgdkjjb?
6/91
Two letters picked without replacement from {k: 1, n: 1, e: 1, j: 1, b: 1}. Give prob of picking 1 b and 1 n.
1/10
Two letters picked without replacement from ynnnnnyyyn. Give prob of picking 1 y and 1 n.
8/15
What is prob of picking 3 h when three letters picked without replacement from {h: 3, c: 12}?
1/455
Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {t: 2, u: 1, o: 1, z: 2, h: 2, c: 1}.
1/9
Two letters picked without replacement from bbbbbbbbbnbbb. What is prob of picking 2 b?
11/13
Two letters picked without replacement from eoonpeoon. What is prob of picking 2 p?
0
What is prob of picking 2 r when two letters picked without replacement from hhhrrrrr?
5/14
Two letters picked without replacement from {w: 13, t: 1, c: 3, d: 2}. Give prob of picking 1 d and 1 c.
2/57
Calculate prob of picking 3 a when three letters picked without replacement from {a: 7, c: 1}.
5/8
Four letters picked without replacement from wplwwliiw. What is prob of picking 1 l, 1 i, 1 p, and 1 w?
8/63
Two letters picked without replacement from {s: 2, h: 1, k: 5, q: 2, t: 4}. Give prob of picking 2 k.
10/91
Three letters picked without replacement from {z: 7, t: 2}. What is prob of picking 2 t and 1 z?
1/12
Calculate prob of picking 2 k when two letters picked without replacement from {z: 2, k: 11, x: 7}.
11/38
Two letters picked without replacement from fiffmoffimfmiffofm. Give prob of picking 2 o.
1/153
Calculate prob of picking 2 q, 1 c, and 1 j when four letters picked without replacement from {j: 2, q: 1, v: 1, r: 3, x: 1, c: 5}.
0
Three letters picked without replacement from ljjkkjjjkrjjljjrarr. Give prob of picking 1 k and 2 l.
1/323
Two letters picked without replacement from kkxoxloxxl. What is prob of picking 1 o and 1 k?
4/45
Two letters picked without replacement from {k: 1, z: 1, l: 1}. What is prob of picking 1 z and 1 l?
1/3
Two letters picked without replacement from pypyhspppspypypppyps. What is prob of picking 2 s?
3/190
What is prob of picking 3 s when three letters picked without replacement from hhhhhshsssoshshws?
7/136
Two letters picked without replacement from {k: 9, u: 4, t: 2, d: 3}. Give prob of picking 2 d.
1/51
Four letters picked without replacement from sessssses. What is prob of picking 4 s?
5/18
What is prob of picking 3 u when three letters picked without replacement from huuyuyuy?
1/14
What is prob of picking 1 w and 1 o when two letters picked without replacement from {o: 3, w: 1, c: 6, q: 3, e: 3}?
1/40
Calculate prob of picking 1 y and 1 b when two letters picked without replacement from byyyybyy.
3/7
Two letters picked without replaceme
|
{
"pile_set_name": "DM Mathematics"
}
|
2355321?
25908531
What is the common denominator of -37/53361 and -43/121?
53361
Find the common denominator of -41/3105 and -28/279.
96255
What is the lowest common multiple of 9815 and 107?
1050205
What is the smallest common multiple of 1591 and 9990?
429570
Find the common denominator of 13/8 and -115/260302.
1041208
Calculate the common denominator of -40/659 and -61/32.
21088
What is the smallest common multiple of 748 and 9622?
211684
Calculate the lowest common multiple of 4620 and 57100.
13190100
Calculate the lowest common multiple of 59454 and 4212.
1545804
Find the common denominator of 21/800 and -83/99744.
2493600
What is the least common multiple of 141 and 29628?
1392516
Calculate the common denominator of -43/61452 and -29/9104.
245808
Find the common denominator of -81/2602952 and 107/12.
7808856
What is the least common multiple of 162 and 10449?
20898
What is the common denominator of -73/92080 and -49/20?
92080
Find the common denominator of -31/16 and -25/461908.
1847632
Calculate the smallest common multiple of 30 and 5538.
27690
Calculate the smallest common multiple of 1185 and 650.
154050
What is the common denominator of 83/19414 and 103/1156?
660076
What is the least common multiple of 3216 and 4020?
16080
Calculate the lowest common multiple of 637 and 3.
1911
What is the common denominator of -91/187328 and 97/32?
187328
What is the common denominator of 73/98 and -47/49196?
49196
Calculate the least common multiple of 1538 and 134.
103046
Calculate the lowest common multiple of 306 and 180234.
180234
Find the common denominator of 79/300 and -23/5358.
267900
Calculate the lowest common multiple of 180272 and 37952.
721088
Calculate the lowest common multiple of 215168 and 48.
645504
Calculate the least common multiple of 9162 and 8.
36648
Calculate the smallest common multiple of 16016 and 59488.
416416
What is the lowest common multiple of 5895 and 29475?
29475
What is the common denominator of -17/20 and -81/21860?
21860
Find the common denominator of -33/434122 and 17/28.
6077708
Calculate the common denominator of -109/122976 and -71/126.
122976
Find the common denominator of 31/51973 and -89/4.
207892
Find the common denominator of -99/435370 and 28/28171.
4789070
Calculate the least common multiple of 2 and 107504.
107504
What is the common denominator of -19/869077 and 71/5781?
2607231
Find the common denominator of 34/51543 and -119/1242.
103086
What is the common denominator of -109/26740 and -71/38200?
267400
Find the common denominator of -107/756564 and -133/2412.
2269692
Find the common denominator of 155/82908 and 59/392.
165816
What is the common denominator of 69/152 and 61/1504?
28576
Calculate the smallest common multiple of 11623 and 2955.
174345
What is the smallest common multiple of 7808 and 1952?
7808
What is the common denominator of -49/122469 and 41/5?
612345
What is the least common multiple of 1590 and 90?
4770
What is the lowest common multiple of 9 and 17343?
17343
What is the lowest common multiple of 26010 and 25?
130050
What is the common denominator of 43/2352 and -43/166416?
8154384
What is the lowest common multiple of 16128 and 576?
16128
Calculate the common denominator of 45/28 and -77/6788.
47516
Calculate the common denominator of 149/828 and 121/74106.
148212
What is the common denominator of 19/211084 and -13/40?
2110840
What is the common denominator of 157/11232 and 87/88?
123552
What is the common denominator of -95/58636 and 19/4280?
586360
What is the common denominator of 85/230298 and 115/6?
230298
What is the common denominator of 79/12 and -107/10752?
10752
Calculate the smallest common multiple of 2212 and 69836.
488852
Calculate the least common multiple of 328 and 65004.
5330328
What is the smallest common multiple of 10 and 65390?
65390
Find the common denominator of 58/23793 and 6/77.
23793
What is the common denominator of 131/14250 and -181/798?
99750
What is the common denominator of -11/18 and 191/12810?
38430
Find the common denominator of -28/387581 and -89/8.
3100648
What is the common denominator of -29/455286 and -109/4394?
5918718
What is the smallest common multiple of 110 and 6700?
73700
Calculate the common denominator of -22/135 and -83/714930.
6434370
Calculate the lowest common multiple of 37083 and 423.
111249
What is the lowest common multiple of 20 and 28972?
144860
Calculate the lowest common multiple of 816 and 42432.
42432
What is the common denominator of -99/1008028 and -95/11396?
11088308
Calculate the common denominator of -23/47180 and -6/11795.
47180
Calculate the smallest common multiple of 3820 and 400.
76400
What is the smallest common multiple of 360 and 6390?
25560
Find the common denominator of 26/10857 and 71/110.
108570
Find the common denominator of 151/20148 and -73/69.
20148
What is the common denominator of -121/3680 and 29/1012?
40480
Calculate the lowest common multiple of 20 and 600290.
1200580
What is the common denominator of -137/3204 and -61/11748?
35244
What is the common denominator of -29/147 and -115/4312?
12936
Find the common denominator of -75/2 and -61/434465.
868930
What is the least common multiple of 343707 and 15108?
1374828
What is the least common multiple of 64148 and 41238?
577332
Calculate the smallest common multiple of 3370 and 14.
23590
Calculate the least common multiple of 5450 and 40.
21800
Calculate the least common multiple of 3224 and 15376.
199888
Calculate the common denominator of -25/5024 and 59/13056.
2049792
Find the common denominator of 113/597168 and 137/7656.
597168
What is the lowest common multiple of 530 and 689?
6890
What is the common denominator of 131/950 and -89/11020?
55100
Calculate the lowest common multiple of 44872 and 50481.
403848
What is the common denominator of -53/20995 and -199/19890?
377910
What is the least common multiple of 2970 and 760?
225720
What is the common denominator of -53/54864 and -155/2088?
1591056
Calculate the common denominator of -21/223850 and 103/17908.
447700
Calculate the common denominator of -47/16176 and -71/507.
2733744
Calculate the common denominator of -25/49761 and 25/873.
49761
Calculate the common denominator of 89/25194 and -87/532.
352716
Calculate the smallest common multiple of 32472 and 328.
32472
Find the common denominator of 53/168 and -93/44380.
266280
What is the common denominator of 71/1110 and -97/219262?
3288930
What is the lowest common multiple of 749814 and 72?
8997768
What is the smallest common multiple of 115188 and 43692?
1267068
Calculate the smallest common multiple of 6 and 3115.
18690
Calculate the smallest common multiple of 23144 and 46288.
46288
What is the common denominator of 79/37914 and -69/22?
417054
Calculate the smallest common multiple of 294 and 3822.
3822
Find the common denominator of -79/30609 and 61/63.
214263
Calculate the common denominator of -1/14994 and -173/1764.
29988
What is the smallest common multiple of 24 and 20580?
41160
What is the common denominator of -119/20800 and 19/4550?
145600
What is the lowest common multiple of 38 and 105564?
105564
Calculate the lowest common multiple of 6613 and 39678.
39678
What is the least common multiple of 7128 and 71280?
71280
Find the common denominator of 7/307 and 11/282.
86574
Calculate the common denominator of -92/45 and 1/16375.
147375
Calculate the lowest common multiple of 24 and 2646.
10584
Find the common denominator of 95/59742 and 61/305348.
2748132
Calculate the smallest common multiple of 439318 and 20.
4393180
Calculate the common denominator of -47/76 and 9/10628.
201932
Calculate the common denominator of -49/276894 and 9/14.
1938258
What is the common denominator of -25/33 and 47/21258?
233838
What is the common denominator of -51/316289 and 32/16489?
3479179
Find the common denominator of -151/144 and -133/17496.
34992
Calculate the lowest common multiple of 18 and 1119614.
10076526
Find the common denominator of -1/12898 and 107/128980.
128980
Calculate the common denominator of -121/57210 and 59/66.
629310
What is the smallest common multiple of 3 and 165666?
165666
Find the common denominator of -139/2148 and 75/68.
36516
What is the common denominator of -34/333 and 89/45?
1665
Calculate the least common
|
{
"pile_set_name": "DM Mathematics"
}
|
1014 = 0.
1, 3, 39
Determine a so that 4*a**4 - 52*a**3 - 504*a**2 + 2592*a = 0.
-9, 0, 4, 18
Suppose 5*q**4 + 24135*q**3 + 240935*q**2 + 409485*q + 192680 = 0. What is q?
-4817, -8, -1
Suppose 3*q**5 - 306*q**4 - 3285*q**3 + 703428*q**2 = 0. Calculate q.
-44, 0, 73
Factor -k**3/3 + k**2/3 + 64*k/3 - 64/3.
-(k - 8)*(k - 1)*(k + 8)/3
Factor 9*r**4/5 + 5487*r**3/5 + 731*r**2 + 609*r/5.
r*(r + 609)*(3*r + 1)**2/5
Factor -705*c**3 - 5395*c**2 - 8675*c - 3985.
-5*(c + 1)**2*(141*c + 797)
Find s, given that -2*s**2 - 2344*s - 222144 = 0.
-1068, -104
Determine r so that -r**5/3 - 29*r**4/2 - 82*r**3/3 + 295*r**2 + 1847*r/3 + 615/2 = 0.
-41, -5, -1, 9/2
Determine l, given that -4*l**2 + 335972*l + 335976 = 0.
-1, 83994
Suppose 4*r**4 + 380*r**3 + 11124*r**2 + 93700*r - 235000 = 0. Calculate r.
-47, -25, 2
Solve -u**2 - 26446*u - 211504 = 0.
-26438, -8
Factor 4*u**4/9 - 5944*u**3/9 + 2166196*u**2/9 + 10402000*u/3 + 12250000.
4*(u - 750)**2*(u + 7)**2/9
Suppose -56*u**5 + 670*u**4 + 10664*u**3 - 292*u**2 - 10608*u - 378 = 0. Calculate u.
-9, -1, -1/28, 1, 21
Suppose 26*z**3/5 - 13622*z**2/5 + 7868*z + 133376/5 = 0. What is z?
-2, 64/13, 521
Factor -2*x**3/3 - 238*x**2/3 - 1320*x.
-2*x*(x + 20)*(x + 99)/3
Determine t, given that -162*t**3/11 + 3475134*t**2/11 - 1544480*t/11 + 171608/11 = 0.
2/9, 21451
Solve c**2/9 - 3101*c/9 - 41834 = 0.
-117, 3218
Solve -4*x**2/3 - 23760*x + 142576/3 = 0.
-17822, 2
Find g such that -4*g**5 + 324*g**4 + 332*g**3 - 324*g**2 - 328*g = 0.
-1, 0, 1, 82
Determine v, given that v**2/2 - 44321*v/6 - 7387/3 = 0.
-1/3, 14774
Find n, given that 5*n**4 + 24110*n**3 + 288840*n**2 + 1154720*n + 1539200 = 0.
-4810, -4
Factor -3*p**2 - 903*p - 900.
-3*(p + 1)*(p + 300)
Let -m**2 - 11387*m/2 - 5693/2 = 0. What is m?
-5693, -1/2
Suppose 4*x**5/7 + 25860*x**4/7 + 41627720*x**3/7 - 544942360*x**2/7 + 964898100*x/7 - 461609324/7 = 0. Calculate x.
-3239, 1, 11
Find d, given that -4*d**2 - 1448*d = 0.
-362, 0
Factor -5*v**3/2 + 250*v**2 - 8735*v/2 - 4620.
-5*(v - 77)*(v - 24)*(v + 1)/2
Suppose -2*k**3 + 2704*k**2 + 10840*k + 10848 = 0. Calculate k.
-2, 1356
Factor q**2 + 345*q + 1700.
(q + 5)*(q + 340)
Factor -5*b**2 + 7725*b - 2944620.
-5*(b - 861)*(b - 684)
Let 2*z**5/5 + 374*z**4/5 + 17466*z**3/5 + 94914*z**2/5 + 137484*z/5 = 0. Calculate z.
-114, -67, -3, 0
Find q such that -2*q**4/7 - 11360*q**3/7 - 22712*q**2/7 = 0.
-5678, -2, 0
Factor 15*q**3 + 2230*q**2 - 34975*q + 11410.
5*(q - 14)*(q + 163)*(3*q - 1)
Let -1372*v**4 + 1911*v**3 + 1526*v**2 + 276*v + 8 = 0. Calculate v.
-2/7, -1/28, 2
Factor 5*i**4 + 1440*i**3 + 106500*i**2 + 403280*i.
5*i*(i + 4)*(i + 142)**2
Factor d**3/7 - 172398*d**2/7 + 689580*d/7 - 689576/7.
(d - 172394)*(d - 2)**2/7
Factor 5*p**4 + 710*p**3 + 21325*p**2 - 281960*p + 259920.
5*(p - 9)*(p - 1)*(p + 76)**2
Find s, given that -2*s**5/5 + 148*s**4/5 + 718*s**3/5 - 30088*s**2 - 302432*s/5 - 151424/5 = 0.
-28, -1, 52
Factor 2*o**2/7 - 315180*o/7 + 12417304050/7.
2*(o - 78795)**2/7
Factor w**3/9 - 656*w**2/3 - 3963*w - 17874.
(w - 1986)*(w + 9)**2/9
Factor -3*o**3 - 63*o**2 + 8388*o + 8448.
-3*(o - 44)*(o + 1)*(o + 64)
Solve 2*l**3 + 12*l**2 - 54*l - 280 = 0.
-7, -4, 5
Suppose 2*a**3 - 71408*a**2 - 714230*a - 1785700 = 0. Calculate a.
-5, 35714
Factor -w**2 + 4898*w - 266365.
-(w - 4843)*(w - 55)
Solve -2*g**5 - 3196*g**4 - 1186346*g**3 + 73338992*g**2 - 143106152*g + 70956704 = 0 for g.
-826, 1, 52
Find d, given that -d**4/2 - 279*d**3/2 - 831*d**2/2 - 829*d/2 - 138 = 0.
-276, -1
Suppose -2*w**2/17 + 2400*w/17 - 77022/17 = 0. What is w?
33, 1167
Let 2*a**3/5 - 428*a**2 + 44058*a/5 = 0. What is a?
0, 21, 1049
Suppose 3*a**5/7 - 4884*a**4/7 + 34014*a**3/7 + 44112*a**2/7 - 79935*a + 486300/7 = 0. Calculate a.
-4, 1, 5, 1621
Let 225*w**4 - 4665*w**3 + 25390*w**2 - 52780*w + 37720 = 0. Calculate w.
2, 46/15, 41/3
Solve 2*o**3/5 + 2534*o**2/5 + 37492*o/5 - 85136/5 = 0.
-1252, -17, 2
Find o, given that -6*o**5/7 + 3128*o**4/7 - 433786*o**3/7 + 6778904*o**2/7 - 3146400*o + 943488 = 0.
1/3, 4, 13, 252
What is l in -l**2/4 - 15947*l = 0?
-63788, 0
Factor -9*h**2 - 1184118*h - 789408.
-3*(h + 131568)*(3*h + 2)
Factor 2*f**2/3 + 136*f/3 + 354.
2*(f + 9)*(f + 59)/3
Factor 4*l**4 - 5680*l**3 + 2005008*l**2 + 8088320*l + 8111104.
4*(l - 712)**2*(l + 2)**2
Factor 2*l**2 - 9812*l + 19616.
2*(l - 4904)*(l - 2)
Factor 3*w**3/7 + 185811*w**2/7 + 2877051069*w/7 - 2877236883/7.
3*(w - 1)*(w + 30969)**2/7
Suppose 72*t**5 - 12218*t**4 - 11266*t**3/3 + 2608*t**2 - 680*t/3 = 0. Calculate t.
-2/3, 0, 1/9, 1/4, 170
Factor 2*t**3 + 1044*t**2 - 2096*t.
2*t*(t - 2)*(t + 524)
Find h, given that -h**5/4 + 841*h**4/2 + 845*h**3 - 10111*h**2/2 + 23581*h/4 - 2105 = 0.
-5, 1, 1684
Suppose -2*z**3/9 + 82*z**2 + 992*z/3 + 2984/9 = 0. Calculate z.
-2, 373
Factor -68*o**2 + 1168*o + 2608.
-4*(o + 2)*(17*o - 326)
Suppose 2*i**4/13 + 68*i**3/13 - 7026*i**2/13 + 524*i + 13904/13 = 0. What is i?
-79, -1, 2, 44
Solve -2508*g**4 + 7156*g**3 - 3896*g**2 - 784*g + 32 = 0 for g.
-2/11, 2/57, 1, 2
Let 2*m**5/15 + 74*m**4/5 + 3644*m**3/15 + 4576*m**2/5 + 10304*m/15 = 0. Calculate m.
-92, -14, -4, -1, 0
Factor -4*d**3 - 1940*d**2 - 30272*d - 120064.
-4*(d + 8)**2*(d + 469)
Suppose 8*d**4/7 + 228*d**3/7 + 112*d**2 - 1968*d/7 - 1152/7 = 0. Calculate d.
-24, -6, -1/2, 2
Let -119*n**3/2 + 1544*n**2 + 78*n = 0. What is n?
-6/119, 0, 26
Suppose -4*y**5 - 832*y**4 - 18628*y**3 + 165368*y**2 - 210688*y - 393856 = 0. What is y?
-181, -34, -1, 4
Factor -g**4 - 13*g**3 - 18*g**2 + 52*g + 88.
-(g - 2)*(g + 2)**2*(g + 11)
Determine j so that j**5/4 - 177*j**4/2 - 1439*j**3/2 - 1629*j**2 - 27*j/4 + 4887/2 = 0.
-3, 1, 362
Suppose 4*u**5 + 141*u**4 - 2812*u**3 + 6828*u**2 - 3600*u = 0. What is u?
-50, 0, 3/4, 2, 12
Factor -5*c**2 - 7200*c - 7195.
-5*(c + 1)*(c + 1439)
Factor 80*s**4 - 14954280*s**3 + 7477125*s**2 - 934640*s.
5*s*(s - 186928)*(4*s - 1)**2
Find v such that 4*v**4/5 + 16*v**3 - 748*v**2/5 + 376*v/5 + 864 = 0.
-27, -2, 4, 5
Determine h so that 2*h**5 - 356*h**4 + 1050*h**3 + 8*h**2 - 1400*h = 0.
-1, 0, 2, 175
Factor -2*i**3/7 + 1300*i**2/7 + 19842*i/7 + 10260.
-2*(i - 665)*(i + 6)*(i + 9)/7
Factor -5*u**2 + 6795*u.
-5*u*(u - 1359)
Factor -c**3/5 - 191*c**2/5 - 564*c/5.
-c*(c + 3)*(c + 188)/5
Solve -3*r**3/8 - 1419*r**2/8 - 525*r + 3525/2 = 0.
-470, -5, 2
What is x in 2*x**2 - 222*x + 4648 = 0?
28, 83
Factor c**4 - 350*c**3 + 28077*c**2 + 445900*c + 1623076.
(c - 182)**2*(c + 7)**2
Suppose 2*l**4 - 322*l**3/9 + 1090*l**2/9 - 1286*l/9 + 500/9 = 0. What is l?
1, 2, 125/9
Factor -4*c**3/5 + 35508*c**2/5 - 2260224*c/5 + 36098048/5.
-4*(c - 8813)*(c - 32)**2/5
Let 2*d**5/3 - 44*d**4/3 - 98*d**3/3 + 44*d**2/3 + 32*d = 0. Calculate d.
-2, -1, 0, 1, 24
Determine u, given that u**2/7 - 380214*u/7 + 36140671449/7 = 0.
190107
Factor 5*x**2 - 5805*x + 57550.
5*(x - 1151)*(x - 10)
What is w in -w**3/3 - 90*w**2 - 2324*w + 1708472/3 = 0?
-166, 62
What is y in 33*y**5 + 384*y**4 - 7032*y**3 + 33642*y**2 - 66825*y + 48438 = 0?
-23, 26/11, 3
Factor 30*o**2 + 24755*o - 20650.
5*(o + 826)*(6*o - 5)
Suppose -33*y**5 + 23099*y**4/2 - 34277*y**3 + 33864*y**2 - 10930*y - 347/2 = 0. What is y?
-1/66, 1, 347
Suppose -q**2/3 - 28014*q - 588588147 = 0. Calculate q.
-42021
Solve l**5 + 65*l**4 - 75*l**3 - 585*l**2 + 594*l = 0 for l.
-66, -3, 0, 1, 3
Solve -16*m**4 - 1018*m**3 - 8138*m**2 + 45280*m - 49608 = 0 for m.
-53, -117/8, 2
Determine r, given that r**3 + 3243*r**2 - 26073*r - 211315 = 0.
-3251, -5, 13
Factor -s**2/9 - 46313*s/9 - 30874/3.
-(s + 2)*(s + 46311)/9
Factor 2*z**4 - 10120*z**3 + 17045388*z**2 - 9516677256*z - 67455440766.
2*(z - 1689)**3*(z + 7)
Determine m, given that m**5 - 12*m**4 + 40*m**3 - 30*m**2 - 41*m + 42 = 0.
-1, 1, 2, 3, 7
What is b in -32*b**5 + 7266*b**4 - 14822*b**3 - 6366*b**2 + 14854*b - 900 = 0?
-1, 1/16, 1, 2, 225
Determine v so that 2*v**2/7 + 33224*v/7 = 0.
-16612, 0
Solve 2*d**4 + 2748*d**3 - 24872*d**2 + 30468*d + 58086 = 0 for d.
-1383, -1, 3, 7
Find b, given that -b**3/3 + 12118*b**2/3 - 36723596*b/3 + 73398728/3 = 0.
2, 6058
Factor 173*s**2 + 803*s + 444.
(s + 4)*(173*s + 111)
Find n, given that -4*n**2/3 - 3376*n/3 - 7812 = 0.
-837, -7
Factor -2*n**4/5 - 600138*n**3/5.
-2*n**3*(n + 300069)/5
What is p in 3*p**2 - 2367162*p + 466954661187 = 0?
394527
F
|
{
"pile_set_name": "DM Mathematics"
}
|
to 4 dps?
0.0011
Let b = 12.17 + -162.97. Round b to the nearest 10.
-150
Let b be 2/(-6) - (-19)/3. Suppose 0 = -0*h + b*h. Round h to the nearest 100000.
0
Let n = 205.732 + -92.605. Let i = 113 - n. Let c = i - -0.373. Round c to 2 dps.
0.25
Let o = 16.01815333 + -16.090153. Let c = o + 0.072. What is c rounded to seven decimal places?
0.0000003
Suppose -5*c - 6 = -1, c - 43559544 = -5*g. Let f = 23311909 - g. What is f rounded to the nearest one million?
15000000
Let f(a) = a. Let t(j) = -3196*j + 5. Let x(n) = -5*f(n) + t(n). Suppose -p - 1 = -6. Let c be x(p). Round c to the nearest 10000.
-20000
Let x = 3 + 0. Suppose -x*f = -3*u + 18, -5*f + 2*u + 2*u = 26. Let i be 3602/f + (-5)/(-5). Round i to the nearest one thousand.
-2000
Let m = 94.1114 + -94.2. Let k = -0.09 - m. What is k rounded to 3 decimal places?
-0.001
Suppose 4*z + 0*z = -2*u - 9530, -4*u - 5*z = 19063. Let p = u - -2667. Round p to the nearest one hundred.
-2100
Let h = -10.74749 - -11.473. Let o = h - 0.722. What is o rounded to three dps?
0.004
Let f = -0.130303 + 0.13. Round f to four dps.
-0.0003
Let j = -32.08 - -34. Let z = j + -0.02. What is z rounded to one dp?
1.9
Let p = -0.3905 - -0.44124. Round p to three decimal places.
0.051
Let c = -20699342 - -20698990.99418. Let z = c + 351. What is z rounded to four dps?
-0.0058
Let k = 664.65 - 15.65. Let x = k - 648.9999737. What is x rounded to 5 decimal places?
0.00003
Let h = -19.6 + 7.3. Let z = h - -17. Round z to zero dps.
5
Suppose 28711398 = 3*l - 2*i, -l + i + 38281869 = 3*l. Let h = 4100468 - l. What is h rounded to the nearest one million?
-5000000
Let m = -1617587 - 607876. Let k = m + 985463. Round k to the nearest 100000.
-1200000
Let p = 103.00000083 - 103. Round p to six dps.
0.000001
Let p = 3487 + -3535.27. What is p rounded to 0 dps?
-48
Let z = 32.16926 - 0.05926. What is z rounded to zero decimal places?
32
Suppose -8 = -n + 3*f, 5*f + 7 + 7 = 2*n. Let r(d) = -d - 7*d**2 - 8*d + 2*d + 14 + 2*d**n - 12*d**3. Let i be r(6). Round i to the nearest one thousand.
-3000
Suppose 10 = -2*l + 2. Let d(s) = 9123061*s**2 - 4*s - 2. Let g be d(l). Suppose 5*y = 24468990 - g. Round y to the nearest one million.
-24000000
Let t = 253 - 270.8. Round t to the nearest ten.
-20
Let c = 2605.347 - 2604. What is c rounded to 1 dp?
1.3
Let x(b) = -667499*b**2 - 6*b + 8. Let h be x(4). What is h rounded to the nearest 1000000?
-11000000
Let g = 1295.9695 + 0.2305. What is g rounded to the nearest one hundred?
1300
Let j = -2 + 9. Let f = -7 - j. Let g = 12.98 + f. Round g to one dp.
-1
Let h = -1680.79 + 1690. Let k = h + -1.51. What is k rounded to the nearest integer?
8
Let b = 13.94 - 14. Let y = b + -1.74. Let w = 2 - y. Round w to zero decimal places.
4
Let d = -9658.3789 - -9659. Let m = 8.3757 + d. Let a = 9 - m. Round a to three decimal places.
0.003
Let n = -217 - -120. Let u = n + 97.00000108. Round u to 7 dps.
0.0000011
Suppose -2*g + 8400145 = -2879855. What is g rounded to the nearest 100000?
5600000
Let o(h) = -h**2 + 7*h - 2. Let z = 8 - 2. Let t be o(z). Suppose -t*b + 243511 = 2*f - 3436483, -4*f = 12. Round b to the nearest 100000.
900000
Let z = 2.8 - 2.874. Let k = z - -0.0682. Round k to 3 dps.
-0.006
Suppose -15 = -a - s - 4*s, -4*a = 3*s - 9. Suppose 3*r = -6, m = -a*m + 4*r - 519992. Round m to the nearest 100000.
-500000
Let a = -8820136.0169 + 8820558. Let n = a + -422. What is n rounded to three dps?
-0.017
Suppose 158735 = -5*j - 3*y, -40*j - 5*y = -44*j - 127025. Round j to the nearest 10000.
-30000
Suppose 0 = -3*p + 52642 - 7642. Round p to the nearest 10000.
20000
Let l = -5996 - -6004.133. Let r = 8 - l. Round r to 2 decimal places.
-0.13
Let j = 12.5 - 6.7. Let b = j + -7.295. Let q = 0.065 - b. Round q to 1 dp.
1.6
Let y = 108 - 56. Let o = y + -51.33. Let z = 0.38 + o. Round z to 1 dp.
1.1
Suppose 36*g - 830280 = 53*g. What is g rounded to the nearest one thousand?
-49000
Let a = 86 - 76.5. Let l = a + -9.5152. What is l rounded to 3 decimal places?
-0.015
Let c = -198.83757 - 0.01243. Let h = 322.72 + c. Let t = -123 + h. Round t to one decimal place.
0.9
Let q = -46.9501899 - -46.95. Round q to 5 dps.
-0.00019
Let f = -105 + 107. Let z(p) = -912499*p**3 - 2*p**2 - p + 2. Let g be z(f). Round g to the nearest one million.
-7000000
Let d = 0.084 - 0.08404041. Round d to 5 dps.
-0.00004
Let l = -0.06 - -7.06. Let b = -23970 - -23963.0045. Let z = l + b. What is z rounded to three dps?
0.005
Suppose -4*q - 1352 = -2*y - 2*y, -4*q + 658 = 2*y. Suppose 0 = -5*n + 3*n + 5*g + y, n + 4*g = 135. What is n rounded to the nearest ten?
160
Let c(d) = 5*d**2 + 25*d + 3. Let n be c(-5). Let g = 1044 - 213. Suppose -4*h = -5*h + n*t + g, -843 = -h - t. Round h to the nearest one hundred.
800
Let x = -0.16054 + -1135.73946. What is x rounded to the nearest 100?
-1100
Let x = -249.9 - -261. Let n = x - 11.002. Round n to 2 dps.
0.1
Let b = 25 + 28. Let x = b - 52.9999971. What is x rounded to 6 decimal places?
0.000003
Suppose 0 = 9*g - 18*g - 203400. What is g rounded to the nearest one thousand?
-23000
Let d = 353.024 - 353. What is d rounded to 2 dps?
0.02
Let a be -1 - (12/3 + -9). Let n(q) = -q**2 + q**2 + 5*q**2 - 2 - 12*q**3. Let f be n(a). Round f to the nearest 100.
-700
Let l(c) be the third derivative of 0 - 5/24*c**4 - 4/3*c**3 + c**2 + 0*c + 19/120*c**6 + 1/12*c**5. Let q be l(8). Round q to the nearest ten thousand.
10000
Let z = 5217 - -14850. Suppose 2*g = g + t + z, 5*t = -5*g + 100315. Suppose 0 = 4*n + g + 159935. Round n to the nearest 10000.
-50000
Let q = 2.92 - 3.2. Let o = -0.279994 - q. What is o rounded to six dps?
0.000006
Let c(z) be the first derivative of 45*z**3 - z**2 + 14*z - 8. Let q be c(-12). Suppose f + q = -1522. Round f to the nearest 10000.
-20000
Let p = 0.225 + -92.225. Let l = p - -91.961. Round l to two dps.
-0.04
Let u = 107.548 - 199.495. Let g = 0.053 - u. Let f = -101.9 + g. Round f to the nearest integer.
-10
Let t = 141.6 - -17.4. Let l = 71 - t. Let w = 87.9929 + l. What is w rounded to three dps?
-0.007
Suppose -6 = 5*w - 16. Suppose l + 255 - 1459 = -4*d, w*l = -2*d + 608. Round d to the nearest one thousand.
0
Let l = -26 - -29. Let t be (0 - l)/((-2)/74). Round t to the nearest 10.
110
Let c = 683.001451 - 683. Round c to four decimal places.
0.0015
Let r = 33.01 - 492.21. Let m = 408 + r. Round m to the nearest 10.
-50
Let s = 13.0573 + 0.2527. What is s rounded to one dp?
13.3
Suppose -3*f = -n - 9, 0 = -2*f - 3 + 9. Suppose n = -7*g - 6551 - 3704. Let b = 645 + g. Round b to the nearest one hundred.
-800
Suppose 3*x = -5*r + 8*x - 830, 2*r + 330 = 4*x. Let l = r - -311. What is l rounded to the nearest 10?
140
Let f = -44336.5 - -9687. Let z = f + 34649.5609918. Let g = -0.061 + z. Round g to 6 decimal places.
-0.000008
Suppose 5*g = 5*m - 3*m - 64, 0 = 5*g - 5*m + 55. Let k(p) = 5611*p**2 - 17*p + 6. Let n be k(g). Round n to the nearest 1000000.
1000000
Let p = 3401721 - 20680482. Let v = p - -17278694.999942. Let z = v - -66. What is z rounded to 5 decimal places?
-0.00006
Let v = 1.22 - -4.1. Let p = -5 + v. Let u = p + -0.32158. Round u to 4 decimal places.
-0.0016
Let z = 705.4 - 595. Let y = -174.55 + z. Let p = y - -62. Round p to one decimal place.
-2.2
Let h = -5286 + 5279.313. Let q = h + -0.063. What is q rounded to the nearest integer?
-7
Suppose 5*u - m = 2*u + 17, -m = 2*u - 8. Let x be (-224*100)/(u/1250). Round x to the nearest one million.
-6000000
Let s = -30.819628 - 0.112172. Let v = 66.93318 + s. Let k = v + -36. What is k rounded to four decimal places?
0.0014
Let g = 1.494 - 1.4942908. What is g rounded to five dps?
-0.00029
Suppose u + 3*i + 3 = 2*u, 4*i = 5*u + 7. Let q = u - -6. Suppose -2*p - b = -5*b + 7000016, 2*p = q*b - 7000012. What is p rounded to the nearest 1000000?
-4000000
Let z(w) = 2040*w**2 - w + 3. Suppose 4 = m - 1. Let q be z(m). Let h = -110998 + q. What is h rounded to the nearest 100000?
-100000
Let h = 315 - 564. Let j = 248.9863 + h. Round j to three dps.
-0.014
Suppose -2*f + 5202 = 27702. What is f rounded to the nearest one thousand?
-11000
Let i = -674416.359991 + 674417. Let j = 0.64 - i. What is j rounded to five dps?
-0.00001
Let d be 273425*3*(-10)/75. Round d to the nearest 1000
|
{
"pile_set_name": "DM Mathematics"
}
|
Let z(g) = -6*f(g) - 125*m(g). Let n(t) = 142*t**2. Determine n(z(a)).
1025950*a**2
Let a(i) = -20*i**2. Let c(m) be the second derivative of 5*m**4/4 + 556*m. Determine a(c(u)).
-4500*u**4
Let h(a) = -3387*a. Let n(k) = 3*k - 651. Give n(h(c)).
-10161*c - 651
Let q(k) = -1456634*k**2. Let p(v) = -3*v**2. Calculate p(q(o)).
-6365347829868*o**4
Let l(s) = -12*s. Let v(w) = -1623*w + 3622. Give v(l(q)).
19476*q + 3622
Let b(u) = u - 1. Let w(d) = -76*d**2 - 608*d + 608. Let o(i) = -608*b(i) - w(i). Let m(p) = -68*p**2. Determine m(o(k)).
-392768*k**4
Let f(k) = 9*k**2. Let j(m) = -7*m**2 - 14*m + 14. Let o(d) = -d**2 - d + 1. Suppose 0 = 48*v - 57*v + 126. Let q(h) = v*o(h) - j(h). Determine f(q(s)).
441*s**4
Let t(b) = 10*b**2. Let o(h) = 4*h - 9. Let c(p) = 330*p - 792. Let v(m) = -3*c(m) + 264*o(m). What is t(v(s))?
43560*s**2
Let i(v) = -4710*v + 2. Let j(f) = -23*f - 5. What is j(i(q))?
108330*q - 51
Let h(o) = 10823*o + 257. Let y(x) = -2*x**2. What is h(y(k))?
-21646*k**2 + 257
Let f(y) = 28*y**2. Let w(v) be the first derivative of v**4/6 + 55*v**2/2 - 112. Let q(r) be the second derivative of w(r). Calculate q(f(k)).
112*k**2
Let m(f) = -f + 23. Let v(z) = 39*z. Let k(u) = -56*u. Let y(q) = -5*k(q) - 8*v(q). Determine y(m(x)).
32*x - 736
Let j(z) = 98172050*z. Let x(k) = -k**2. Calculate j(x(m)).
-98172050*m**2
Let c(h) = -5*h**2. Let w(l) = 1023 + 1018 - 524*l**2 + 1026 - 3067. Give c(w(i)).
-1372880*i**4
Let m(y) = 3*y**2. Let d(t) = -2*t**3 + 14*t**2 - 8*t - 21. Let f be d(6). Let j(i) = 3*i - i - 40 + f*i + 45. Calculate j(m(s)).
15*s**2 + 5
Let q(l) = 6*l**2 + 18*l. Let o(x) = 13*x + 196. Let s(k) = 9*k + 140. Let t(a) = 5*o(a) - 7*s(a). What is t(q(g))?
12*g**2 + 36*g
Let b(x) = -2*x**2 - 42. Let n(v) = 2*v**2 + 14*v - 14. Let t be n(-8). Let k(i) = -3*i**2 + 2609 + i**t - 2609. Calculate b(k(y)).
-8*y**4 - 42
Let u(z) = -15*z**2 - z. Let g(f) = 30*f - 11. Let w(x) = -17*x + 5. Let s(v) = -4*g(v) - 7*w(v). Calculate s(u(h)).
15*h**2 + h + 9
Let j be (9 + -4)*48/(-10). Let m = -15 - j. Let z(y) = 2 + 2 - m*y**2 - 4. Let n(q) = -2*q. Calculate z(n(x)).
-36*x**2
Let w(s) = 2*s - 23. Let m(l) = -96*l + 146. Determine w(m(t)).
-192*t + 269
Let z(o) = 271*o. Let b(r) = -3965559*r**2. Calculate z(b(c)).
-1074666489*c**2
Let d(r) be the first derivative of -34*r**3/3 + 4*r - 153. Let s(v) = 1598*v**2 - 187. Let j(b) = 187*d(b) + 4*s(b). Let w(f) = 4*f**2. What is j(w(p))?
544*p**4
Let o(r) = 14*r**2. Let p(t) be the second derivative of -t**6/720 + 7*t**4/6 - 65*t. Let h(v) be the third derivative of p(v). Determine o(h(i)).
14*i**2
Let b(r) = -2*r**2 + 6*r + 120. Let v(o) = 10*o. Determine v(b(z)).
-20*z**2 + 60*z + 1200
Let v(f) = 11*f - 2. Let i(l) = 293514*l - 8. What is v(i(d))?
3228654*d - 90
Let o = -42 - -51. Let r(d) = -26*d - o*d + 38*d + 25. Let v(f) = -3*f**2 - 2*f**2 + 3*f**2. Calculate r(v(w)).
-6*w**2 + 25
Let d(z) = -12*z**2 - 46. Let u(l) be the first derivative of 2*l**3/3 + 1760. Determine u(d(y)).
288*y**4 + 2208*y**2 + 4232
Let g(i) = -305*i**2 + 14*i - 3. Let h(m) = -102*m**2 + 4*m - 1. Let s(d) = 4*g(d) - 14*h(d). Let a(j) = 3*j. What is s(a(p))?
1872*p**2 + 2
Let h(c) = 29*c. Let s(g) = 24106158*g. Calculate s(h(i)).
699078582*i
Let c(k) = -3*k + 0*k + 6*k - 4*k + 132. Let a(m) be the third derivative of m**4/12 + 382*m**2. Give a(c(s)).
-2*s + 264
Let u(f) = -4*f. Let t(l) = -l**2 - 5*l - 3. Let y be 16/(-12) - (-2)/(-3). Let o be t(y). Let h(k) = -119 - o*k + 119. Determine u(h(b)).
12*b
Let y(v) = -2*v. Let o(f) = -3*f - 7*f + 6*f + 6*f. Let a(j) = 3*o(j) + 2*y(j). Let c(d) = 80*d. Determine a(c(i)).
160*i
Let m(g) = 951*g**2. Let i(r) = 2*r - 6133. What is i(m(u))?
1902*u**2 - 6133
Let o(p) = -7*p. Let b(n) be the first derivative of -442*n**3/3 + 6246. What is o(b(f))?
3094*f**2
Let d(n) = -285*n**2. Let v(j) = 423527*j. Give v(d(f)).
-120705195*f**2
Let z(p) = -5*p**2 - 5*p**2 - 9*p**2. Let n(j) = 12*j - 40. Let s(h) = -2*h + 8. Let w(i) = -n(i) - 5*s(i). What is z(w(k))?
-76*k**2
Let m(n) = -5612*n**2. Let f(b) = b + 346. Calculate f(m(p)).
-5612*p**2 + 346
Let j = 2 + 1. Let s(u) = 4*u**2 - u**2 - u**2 - j*u**2. Let b(l) = 25*l - 3. Let h(x) = 45*x - 5. Let o(g) = 5*b(g) - 3*h(g). What is o(s(t))?
10*t**2
Let i(o) = -229*o**2 + 3*o + 6. Let d(b) = -4366*b**2 + 58*b + 116. Let f(m) = 6*d(m) - 116*i(m). Let n(t) = -13*t**2. Determine f(n(a)).
62192*a**4
Let g(b) = -108*b. Let t be 336 + 6 + 0/1*1. Let y(i) = -684*i + t*i + 341*i. Determine y(g(s)).
108*s
Let r(s) = -44*s**2 + 29*s**2 - 49*s**2. Let b(n) be the third derivative of n**5/15 + 26580*n**2. Calculate b(r(j)).
16384*j**4
Let s(p) = -507*p. Let g(a) = 3*a**2 + 16. Calculate g(s(b)).
771147*b**2 + 16
Let y(i) = -2*i**2. Suppose -231 = -22*z + 15*z. Let r(a) = -62 + z + 29 - 73*a**2. What is y(r(b))?
-10658*b**4
Let v(h) = -228*h**2. Let z(c) = 8*c**2 - 737*c + 2. Give z(v(j)).
415872*j**4 + 168036*j**2 + 2
Let o(z) = z**2. Let g(x) = -52*x - 40. Let d be g(-1). Let p(u) = -d - 4*u + 11*u - 6*u - 2*u. What is o(p(k))?
k**2 + 24*k + 144
Let w(c) = 2*c. Suppose 0 = -8*k + 56 + 16. Let v(h) = -18 + 33 - 8 + 11*h - k - 3*h. Determine v(w(s)).
16*s - 2
Let q(h) = 322*h. Let d(c) = -18046*c + 6013*c + 6014*c + 6007*c. Determine q(d(o)).
-3864*o
Let q(p) = 488*p. Let l(k) = -5*k - 490. Let w(x) = -x - 84. Let z(y) = -6*l(y) + 35*w(y). Give z(q(o)).
-2440*o
Let r(y) be the third derivative of 7*y**4/24 + y**2. Suppose 423 = 22*j + 5. Let t(l) = 8*l + 9*l - j*l. Determine t(r(q)).
-14*q
Let b(q) = 163*q**2. Let w(a) = -446*a. Let y(d) = 61*d. Let p(r) = -6*w(r) - 44*y(r). What is b(p(v))?
10432*v**2
Suppose 6*s + 3*q = 2*s + 61, -35 = -2*s - 3*q. Let a(r) = -2*r - s - 17 + 30. Let f(v) = -5*v. Let d(t) = -11*t. Let x(l) = 2*d(l) - 5*f(l). What is a(x(b))?
-6*b
Let a(p) = -2*p**2 - 13*p - 13. Let f be a(-5). Let k(h) = 15*h + 2*h**f + 6*h - 21*h. Let c(x) = -32*x. Calculate k(c(z)).
2048*z**2
Let h(v) be the third derivative of v**5/12 + 5*v**2. Let j(b) be the third derivative of -b**5/30 + b**2 + 67*b. Calculate j(h(a)).
-50*a**4
Let x(a) = 77*a - 66. Let u(l) = l - 1. Let n(i) = 66*u(i) - x(i). Let z(p) = 5*p**2 - 3*p**2 + 2*p**2. Give n(z(f)).
-44*f**2
Let t(v) = 2*v. Let n(d) = 446*d**2 - 10787 - 10783 + 21570 + 8*d. Calculate t(n(u)).
892*u**2 + 16*u
Let y(d) = 4 - 79*d + 72*d - 4. Let l(a) = 65*a + 19 - 19 + 67*a - 126*a. What is y(l(i))?
-42*i
Let j(r) = 1032*r**2. Let m(x) = -213445*x**2. Give j(m(s)).
47016648601800*s**4
Let c(d) = -387*d. Let r(t) = 13*t - 63. Let p(k) = 6*k - 27. Let f(o) = -7*p(o) + 3*r(o). What is f(c(i))?
1161*i
Let f(w) = -2*w. Let m(k) = 222799*k**2. Determine m(f(s)).
891196*s**2
Let n(w) = -7*w + 10. Let x(d) = -136377*d. Determine x(n(l)).
954639*l - 1363770
Suppose -z = 7*z + 192. Let x(d) = 1. Let q(p) = -16*p**2 - 12. Let m(f) = z*x(f) - 2*q(f). Let a(k) = 5*k. What is m(a(r))?
800*r**2
Let t(z) = 27*z - 3*z - 44*z + 43*z. Let i(b) = -8*b. What is i(t(a))?
-184*a
Let c(o) = 7*o. Let n(p) = 3*p. Let i(b) = -b**2 + 10*b + 29. Let a be i(13). Let w(d) = a*n(d) + 4*c(d). Let z(f) = 87*f**2. Calculate w(z(l)).
-174*l**2
Let l(h) be the first derivative of 6587*h**2/2 + 1312. Let m(y) = y**2. Calculate m(l(s)).
43388569*s**2
Let j(k) be the third derivative of -k**4/4 + 169*k**3/6 + 793*k**2. Let q(b) = 2*b. Give q(j(w)).
-12*w + 338
Let g(z) = -86*z**2 - 18*z + 9. Let o(w) = 38*w**2 + 8*w - 4. Let s(k) = -4*g(k) - 9*o(k). Let l(p) = p**2 + p**2 - 14*p**2. Calculate s(l(j)).
288*j**4
Let y(x) = 2*x - 10*x - 9*x + 18*x. Let i(p) = 22*p**2 - 16*p**2 - 8*p**2. Determine i(y(s)).
-2*s**2
Let y(m) = -2*m**2 - 13. Let j(w) be the third derivative of 0*w**4 + 0*w**3 + 0 + 6*w + 7*w**2 - 1/30*w**5. What is j(y(x))?
-8*x**4 - 104*x**2 - 338
Let k(p) = 3 + 12*p - 3. Let v(s) be the second derivative of -s**5/120 + 179*s**3/6 + s + 50. Let h(z) be the second derivative of v(z). Determine k(h(a)).
-12*a
Let s(r) = -26*r + 6*r + 43*r + 53*r. Let p(q) = -12*q - 5. Let i(j) = 10*j + 4. Let m(o) = -5*i(o) - 4*p(o). Determine s(m(l)).
-152*l
Let a(w) = 76*w. Let r(o) = 30389*o**2 + 24. Give r(a(d)).
175526864*d**2 + 24
Let g(j) = -2*j**2. Let a(n) be the first derivative of 5 + 0*n - 5/2*n**2 - n**3. Determine a(g(y)).
-12*y**4 + 10*y**2
L
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -2 - -15) + 0. Let y be 2/(-1)*w/(-8). Let c(t) = -t - 4. Let n be c(-4). Solve d = -x - n*d - 1, -6 = y*d for x.
1
Suppose z + 0*z - 5*o + 2 = 0, 0 = 4*z - 5*o + 8. Let l be (2 - 4)/z - -10. Solve 9 = -k - 0*r - 2*r, k = 2*r + l for k.
1
Let z be 1/(-6) - 73/(-6). Solve f + 4*c = -z, 3*f - c = 4*f for f.
4
Let f be ((-9)/6 + 0)*52/(-78). Let l be (-27)/(-12) - 2/8. Solve l*o - d - 5 = 0, -4*d = -5*d + f for o.
3
Let k(j) = 6*j - 5. Let q be k(6). Let p = 28 + -19. Suppose 5*z + l = -3*l + q, -z - p = -3*l. Solve a + z*a = 5*h + 16, 4*h + 8 = 2*a for a.
4
Let x = 59 + -55. Solve y + x*i = -14, -y + 1 = -i - 0*i for y.
-2
Let p be 0 + (5 - 3) + 4. Solve p = 3*h - 5*f + 1, f = -3*h - 1 for h.
0
Let l be (-9)/(-5) + (-3)/(-15). Solve 25 = 3*a + 5*v, 2*a - l*v = -v + 8 for a.
5
Let m = 380 + -377. Let z = 0 + 3. Suppose -9 = -4*i + 2*o + 5, z*i = o + 13. Solve 0 = -y + 2*w - i, w = m*y - 3*w + 8 for y.
4
Suppose 7*j - j - 24 = 0. Solve -31 = -3*k - j*y, 4*y + 1 - 2 = 3*k for k.
5
Suppose 2*b - 5*i = 20, 6 = -i + 2. Solve r + 11 = -b*r + 4*v, -3*r - 6 = -3*v for r.
1
Let o = -31 + 15. Let f = 24 + o. Let t be (-26)/(-4) + (-4)/f. Solve 4*z + 5 = -5*g, -3*z + t = g - 4 for g.
-5
Let w = 13 + -9. Suppose 0 = -4*f + 4 - 16. Let r be f/((-6)/4) + 0. Solve r*d = 3*l - 3, -w*d - 5*l = 1 + 16 for d.
-3
Let p be (2 - 1)*1 + 2. Suppose 0 = -p*c - 10 + 70. Solve -3*q + 3*s - 18 = 0, -q + 6*q = -5*s + c for q.
-1
Suppose 0 = y - 0*z - 3*z - 50, y = z + 48. Suppose -n - 20 + y = 0. Solve -8*k + 4*k = 5*u - 25, 2*u = -5*k + n for k.
5
Let q(t) = t**3 + 6*t**2 - 2*t - 8. Suppose 14 = 4*s - 50. Let z = s + -22. Let h be q(z). Solve k + 17 = -3*c - 2*c, 2*c - h = -4*k for k.
3
Let l = -18 - -28. Let a(s) = 1 - 1 - l*s**2 + 2 + s**3. Let v be a(10). Solve -v*o + 2 + 6 = 0, -5*o + 20 = -g for g.
0
Suppose 6*k = 2*k + 5*k. Solve k*u + 2*w - 16 = -4*u, 4*w = -8 for u.
5
Let i = -15 - -9. Let l(x) = x**3 + 7*x**2 + 6*x + 2. Let f be l(i). Let b be (24/4)/(1*f). Solve 6 = b*k, k = -4*d + 5*k - 4 for d.
1
Suppose f + 2 = 0, 5 = 5*t - 2*t + 2*f. Solve -4*j + t*m - 11 = 0, -j + 2*m = m + 4 for j.
1
Suppose 4*j - 5*j = -17. Let m = 4 - 2. Solve 5*q - m*y + 18 = 0, 0 = 4*q + 2*y + 1 + j for q.
-4
Let t = -23 + 26. Solve 0 = r + 5, 0 = 4*o - r - t*r - 8 for o.
-3
Suppose 16 = 6*l - 2*l. Let m be 1 + -2*9/(-6). Solve -y - 3*t = -4 - l, -5*t + 25 = m*y for y.
5
Let c(h) = h**3 - 6*h**2 + 4*h + 3. Suppose -2*f + 7*f - 25 = 0. Let j be c(f). Let d be (-1 - (-2 + 1))/j. Solve d = 5*g - 5*w - 3 - 7, -w - 2 = g for g.
0
Let l = 10 - 7. Let o be l + (-2)/2 + 1. Solve 18 = -v - 0*y - o*y, 4*v + 4*y = -32 for v.
-3
Let u be 336/35 - -2*(-1)/(-5). Solve -f - 5 = -j - 3, -u = 2*f - 4*j for f.
1
Let w = 7 + -2. Solve -5*c + 0*c - w*u = -30, 4*u - 14 = -2*c for c.
5
Let q = 9 + -7. Suppose 0*i = -q*i - 6, 5*r + 2*i = 4. Solve -5*c + 0 = -4*a - 2, -c = -r*a - 4 for c.
-2
Let q be (-44)/(-12) + ((-1)/(-3) - 1). Solve 2*i + 2 - 4 = 3*u, i + 2 = q*u for i.
4
Let l = 45 + -41. Solve -5*t - z - l*z = -25, 0 = -5*t + z + 7 for t.
2
Suppose 0 = 2*t - 0*t - 10. Let b be (t/(-5))/((-2)/8). Let v = 9 - -3. Solve -b*l + 24 = -3*o - l, v = o + 3*l for o.
-3
Suppose -f = 3*f - 36. Let y = f + -7. Solve 5*z - 41 = 4*p, -y*p - 4*z = -5*p - 32 for p.
-4
Let g be 1/((-26)/(-14) + -2). Let o = 10 + g. Let n = o - 3. Solve 10 = 3*s + 5*t, n = 4*s - 0*s + 4*t - 16 for s.
5
Suppose 4*l + 100 = 8*l. Solve 5*g = -5*i + l, -2*g - g = 4*i - 17 for g.
3
Let t(h) = -h + 14. Let g be t(-8). Solve 0 = 3*o + 4*f, -3*f + g = -4*o - f for o.
-4
Let c be 34/(-136) + 37/4. Solve 0 = -z + y - 5*y - 15, 0 = 2*z + y + c for z.
-3
Suppose v - 6*v = 0. Solve -3*y + x + 5 = v, 4*y - 4*x - 10 = -2*x for y.
0
Let c = 9 - 7. Solve 0 = -5*y + 3*i + 1, c*i - 4*i + 14 = 4*y for y.
2
Let w(u) = -u**3 - 5*u**2 + 4. Let i be w(-5). Solve -5*d + 5 = -5*x, -i*x = 3*d - 12 - 12 for x.
3
Let b = -6 + 10. Suppose 3*a + 7 + 5 = 0, b*t + 8 = 4*a. Let c(g) = g**2 + 5*g + 6. Let s be c(t). Solve 5*p = 10, -10 - s = -3*r - 5*p for r.
4
Suppose 22 = -2*n + 4*n + 3*d, -n = 2*d - 13. Solve 3*l = 4*g + n*l, -3*l - 6 = 0 for g.
1
Let n(r) = 4*r**3 + r**2 - r + 1. Let x be n(1). Solve 4*z - 8*z + 12 = -4*q, x*z = 2*q + 3 for z.
-1
Let d(i) = i**2 + 4*i + 8. Let r be d(-6). Solve 0 = -5*x + r, -x + 12 = -0*a - 4*a for a.
-2
Let x(r) = 3*r**3 + 4 - r**3 - 4*r**2 - 5*r**2 - 3*r**3. Let k be x(-9). Solve -2*y - k*w - 6 = 0, -3*y + 4*y = -4*w - 1 for y.
-5
Let b(c) = -5*c + 1. Let d be b(-1). Solve d = 5*x - o - 5, 8 = 2*o for x.
3
Suppose 3*w - 11 = 4. Solve -2*r + v - 2 = r, w*v = -r - 6 for r.
-1
Let b(z) = -2*z - 2. Let t be b(-10). Solve 5*d + 22 = n, -5*n + 12 = -5*d - t for d.
-4
Suppose a + 3*a - 68 = 0. Suppose 5*h + 2*g - 40 = 6*g, g = -h + a. Let r be 2/8 - (-21)/h. Solve -r*t = -7*t - 5*o + 40, 0 = -5*t - 2*o + 31 for t.
5
Suppose 4*d = 4*h + 3 + 1, 0 = 4*d - 2*h - 10. Let t = 9 - d. Solve 3*p - 6*p = 0, 0 = -t*j - p + 20 for j.
4
Let x be 7 + ((-2)/1 - -1). Let p(k) = 2*k - 4. Let d be p(x). Solve 2*l + d = -w, -4*w = -2*l + 4 - 2 for l.
-3
Let z = -59 + 64. Solve -p = 3*a - z, -3*a + p + p - 1 = 0 for a.
1
Suppose 6 = 4*a + 2*s - 30, -5*s = 2*a - 34. Solve 9 = -4*i + 3*b, -4*i - 3*b = -a*i - 6 for i.
-3
Suppose 0 = -5*w + w + 8. Suppose 0*o = o - 4*z + 10, -w*z = 3*o - 12. Let n be 6/15 + o/(-5). Solve n = d - 4*i - 0*i - 17, 2*d + 11 = -i for d.
-3
Suppose 4*q + 9 = 21. Suppose -q = n - 7. Solve 0 = h - 2*i, -h - n*h = -2*i for h.
0
Let r(f) = f**2 + 7*f + 1. Let j be r(-7). Solve 5*l + 6 = -t + j, 3*t - l - 1 = 0 for t.
0
Let t = 8 + -10. Let o be t/(-9) - 210/(-27). Suppose -h + 17 = -o. Solve 2*a = -5*i - 0*a + h, 2*i = 2*a + 10 for i.
5
Let s be -2 + (2 - (1 + -1)). Let w = 2 + s. Let x(f) = f - 4. Let h be x(8). Solve -4*t + 8 = 3*k + w*k, 4*t = -2*k - h for t.
-3
Suppose 2*f - 8 + 28 = -5*g, 2*f = 5*g. Let v = 7 + f. Suppose 3*s = v*s. Solve -2*i - 2*j + 0 = -8, i + 5*j - 8 = s for i.
3
Let g be (-2)/(-10) - (-14)/5. Let f(n) = -n**2 - 11*n + 14. Let b be f(-11). Let s be b/6 + (-1)/g. Solve -2*h - l + 4*l + 1 = 0, 2*h - 4*l = s for h.
-1
Suppose 17 + 4 = k. Solve 2*f + 2*f - k = a, 4*f - 22 = 2*a for f.
5
Let g = 6 - 4. Let y be 4/g + 6 + -3. Solve 2*l - y = 3, 3*f + 2*l = -7 for f.
-5
Let z(r) = -8*r. Let p be z(-1). Let f be (-3)/((-12)/p) + -2. Solve -5*i - 13 = 2*a, i - 15 = -f*a + 4*a for a.
-4
Let t(i) be the third derivative of -i**5/60 + 5*i**4/12 + 7*i**3/3 + 8*i**2. Let o be t(11). Solve -4*j + 35 - 4 = o*u, 0 = 2*j - 5*u + 17 for j.
4
Let r be (14/(-3))/((-2)/6). Let h(i) = i + 5. Let b be h(-3). Solve -8 = 4*a, 3*p + r = -b*a - 2*a for p.
-2
Let j = 35 + -33. Solve -r + 5*y + 22 = 0, r + r - j*y = 12 for r.
2
Let t(j) = -j**2 - 3*j + 4. Let r(b) = b - 7. Let w be r(0). Let u = -11 - w. Let p be t(u). Solve 4*a = 5*g + 5 + 4, 5*a + 20 = p for g.
-5
Let u(d) = -5*d**2 + 3*d + 4. Let x(a) = -4*a**2 + 3*a + 4. Let z(b) = -5*u(b) + 6*x(b). Let y be z(-3). Solve 2*f - 2 = 0, -5*k - f + 5 = y*f for k.
0
Suppose 0 = -3*r + 5 + 1. Let a = 3 + -3. Solve -3*l = -5*b - 7, -r*b - 2*l = -a*l - 10 for b.
1
Suppose -3*h + 2*h - y = -5, y = 2. Solve -h*t - 5*i + 30 = 2*t, 0 = -2*t + 3*i + 7 for t.
5
Let k(f) = -f + 1. Let a be k(-3). Suppose -a*q + 9*q - 4*s = 14, -s = 4*q - 28. Solve j + 3*p + 13 = 0, q*j = 2*j - p - 8 for j.
-1
Let d = -6 + 6. Let c be (d/(-2) + -1)*0. Solve c = -4*w + 16, 3*t - 3*w = -0*w + 3 for t.
5
Let x(k) = -k**3 - 6*k**2 - 7*k - 6. Let v be x(-5). Solve 10 = 3*l + 2*u + 4, v*l = -3*u + 7 for l.
4
Let a = -42 - -49. Solve -4*f + c + 3 = 0, -4*f + 3*c + 9 = -a*f for f.
0
Let d = -14 + 16. Solve -5*i - r = -5, -d*r + 2 = 2*i - 0*r for i.
1
Let g(y) = -y**3 + 2*y - 1. Let l be g(-2). Let x be (2/(-3))/((-3)/9). Solve 0 = 2*u + x*b + 8, -l*b - 4 = -10*u + 5*u for u.
-1
Let d(i) = -i**2 - 11*i + 23. Let v be d(-12). Solve 4*m - 5*a = -v, -2*m - 5*a - 17 = m for m.
-4
Suppose 0 = -8*z + 5*z + 63. Solve -5*g + 24 = -u - 5, 4*u = g - z for g.
5
Suppose 5*u - u = 0. Suppose u = 3*s - 3 - 3. Let b = -4 + 6. Solve -25 = -5*c + 3*r, -19 = -s*c - b*r + 5*r for c.
2
Let k(t) = -3*t - 47. Let r be k(-17). Let n = 65 + -45. Solve 5*x = -2*v - 10, -n = r*x + x for v.
5
Let v be 30 - 3/(6/4). Let l = -14 + v. Let n be (4/3)/((-
|
{
"pile_set_name": "DM Mathematics"
}
|
Simplify (1*sqrt(35)*-1 + sqrt(35))/sqrt(7).
0
Simplify (sqrt(20) + sqrt(2880))/sqrt(10) + ((0 + sqrt(2))*-5)**2.
13*sqrt(2) + 50
Simplify (sqrt(1331) + sqrt(1331) + -1)**2 + sqrt(1331) + 1.
-33*sqrt(11) + 5326
Simplify sqrt(475)*-2 - (2*sqrt(1539))**2.
-6156 - 10*sqrt(19)
Simplify (5*(sqrt(156)*2 - sqrt(156)))/sqrt(12).
5*sqrt(13)
Simplify sqrt(22)/(sqrt(14)/sqrt(7)) + -5.
-5 + sqrt(11)
Simplify (1*sqrt(44)*-1)/(sqrt(32)/sqrt(72) + sqrt(4)).
-3*sqrt(11)/4
Simplify (-5 + -2*sqrt(19) + sqrt(19))**2 - sqrt(19) - (sqrt(2736) - 1*sqrt(2736)).
9*sqrt(19) + 44
Simplify sqrt(15)/(-4*sqrt(5)*-1).
sqrt(3)/4
Simplify (sqrt(52)*-1 - (1 + sqrt(52)/sqrt(4)))**2.
6*sqrt(13) + 118
Simplify (sqrt(252)*-3)**2 + sqrt(7) - (sqrt(63) - -1*sqrt(63))**2.
sqrt(7) + 2016
Simplify ((sqrt(4500) + 1*sqrt(4500) + sqrt(4500) + sqrt(4500))/(sqrt(9) - sqrt(441)*-1))**2.
125
Simplify (6*sqrt(17)*2 - (sqrt(153) - (sqrt(153) + 0)))**2*-2.
-4896
Simplify (sqrt(5) + sqrt(55)/(sqrt(55)/sqrt(5)) + sqrt(180))**2.
320
Simplify 2*sqrt(35)/(sqrt(10)/sqrt(2)).
2*sqrt(7)
Simplify (-4 + sqrt(847) + -1*sqrt(847) + sqrt(847) + -2*sqrt(7)*6)*5.
-20 - 5*sqrt(7)
Simplify sqrt(2057) + -3*-2*sqrt(2057).
77*sqrt(17)
Simplify -2*(0 + sqrt(112)) + 0.
-8*sqrt(7)
Simplify ((sqrt(108) - (sqrt(108) - (sqrt(108) + 0 + sqrt(108) + 0))) + sqrt(108) + 1 + 5)**2.
216*sqrt(3) + 1008
Simplify 5 + -1*sqrt(2057) - sqrt(34)/(sqrt(126)/sqrt(7)).
-34*sqrt(17)/3 + 5
Simplify (-5*(sqrt(125) + 0) - sqrt(125))**2*-3.
-13500
Simplify (0 + sqrt(17) + 1 + sqrt(17) + 3)**2.
16*sqrt(17) + 84
Simplify ((sqrt(90)/sqrt(5)*6)/(sqrt(54)/(sqrt(6)*-2)))**2.
288
Simplify 1*(sqrt(21)/sqrt(7) + sqrt(3)) + -2.
-2 + 2*sqrt(3)
Simplify (-2*sqrt(152)*-1 - sqrt(152))/(sqrt(1400)/sqrt(7)).
sqrt(19)/5
Simplify ((sqrt(684) + 1*sqrt(684) - sqrt(684))*3)**2 + ((sqrt(684) - (1 + sqrt(684)))*1 + sqrt(684))**2.
-12*sqrt(19) + 6841
Simplify (sqrt(2304)*2)/(sqrt(288)*-2 + sqrt(8)).
-24*sqrt(2)/11
Simplify (-1*(-3 + sqrt(98)))**2*-4.
-428 + 168*sqrt(2)
Simplify sqrt(55)/(((sqrt(35) - -1*sqrt(35)) + sqrt(35))/sqrt(7)).
sqrt(11)/3
Simplify (sqrt(1792) + sqrt(1792)*-4)/sqrt(4).
-24*sqrt(7)
Simplify (-5*2*sqrt(85))/(sqrt(60)/sqrt(48)).
-20*sqrt(17)
Simplify 2 + 5*sqrt(21)/(sqrt(363) + sqrt(363)*1).
5*sqrt(7)/22 + 2
Simplify (sqrt(495)/sqrt(9))/sqrt(11) + (sqrt(45) + 2 + sqrt(45))**2.
25*sqrt(5) + 184
Simplify (1 + 1*sqrt(243))**2.
18*sqrt(3) + 244
Simplify 5 + (-3*sqrt(78)/sqrt(6) - (-6*sqrt(91)/sqrt(7))**2).
-463 - 3*sqrt(13)
Simplify (sqrt(27) - sqrt(216)/(sqrt(8) + (2*sqrt(8) - sqrt(8))))**2.
27/4
Simplify (sqrt(88)/(sqrt(8)*3) - sqrt(88)/(sqrt(88)/sqrt(11)))**2.
44/9
Simplify sqrt(1008) + ((sqrt(35)/sqrt(5))**2*-6 - sqrt(7)).
-42 + 11*sqrt(7)
Simplify (-2*5*sqrt(136)/((-1*sqrt(64))/sqrt(8)))**2.
1700
Simplify 1 + (sqrt(198)/(1*sqrt(11)) + sqrt(18) + -1)**2.
-12*sqrt(2) + 74
Simplify (5*(((sqrt(171) - (sqrt(171)*1 - sqrt(171) - sqrt(171))) + sqrt(171))*-6)/(sqrt(81)*-1))**2.
17100
Simplify 5 + -4 + (sqrt(1088) - sqrt(17)).
1 + 7*sqrt(17)
Simplify 2*sqrt(108) + 3*(sqrt(27) + 0).
21*sqrt(3)
Simplify (2*(sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99) + sqrt(99) + -2*sqrt(99) + sqrt(99)))) - sqrt(99)))/((sqrt(9) + sqrt(9)*1)*3).
-sqrt(11)/3
Simplify (1*sqrt(128))**2*1.
128
Simplify (sqrt(2106) + (sqrt(2106) - sqrt(2106)*1) + sqrt(2106))/((sqrt(96)/sqrt(4))/sqrt(12)).
18*sqrt(13)
Simplify (1*sqrt(68)*-2)/(sqrt(576)*-1).
sqrt(17)/6
Simplify (5*sqrt(384))/sqrt(8)*-6.
-120*sqrt(3)
Simplify -5*4*(sqrt(1872) - (sqrt(1872) + 1)).
20
Simplify -2 + (sqrt(432) - (sqrt(432) + sqrt(432)*3))*5.
-180*sqrt(3) - 2
Simplify ((sqrt(3) + sqrt(33)/sqrt(44) - sqrt(432)*1)*-1)**2.
1323/4
Simplify (0 + sqrt(684))**2*4 + (-6*(sqrt(684) + 0))**2.
27360
Simplify sqrt(57)/(sqrt(18)/sqrt(6)) + 1.
1 + sqrt(19)
Simplify (sqrt(77)*-1*5)/(sqrt(21)/((sqrt(3) - (sqrt(3)*2 + sqrt(3) - sqrt(3) - sqrt(3))) + sqrt(3))).
-5*sqrt(11)
Simplify (sqrt(500)*1 + -5 - (sqrt(500) - (-1 + sqrt(500)*-3) - sqrt(500)))**2.
240*sqrt(5) + 2036
Simplify sqrt(16)/(sqrt(24)/sqrt(3))*6.
6*sqrt(2)
Simplify (sqrt(24)/(sqrt(192) + sqrt(12)) - sqrt(14)/sqrt(28)) + 3.
-3*sqrt(2)/10 + 3
Simplify -1 + (sqrt(475)*-6 - (5*-2*sqrt(19) + sqrt(19))**2).
-1540 - 30*sqrt(19)
Simplify 5*(sqrt(75) + (3 + (2*sqrt(75))**2 + sqrt(75) + sqrt(75) - sqrt(75))) + 1.
50*sqrt(3) + 1516
Simplify 5*1*(3 + sqrt(2))**2.
30*sqrt(2) + 55
Simplify -4 + sqrt(1053) + (-5 + sqrt(1053) + -1)**2.
-99*sqrt(13) + 1085
Simplify ((sqrt(120) + -2*sqrt(120))/sqrt(4))/sqrt(6).
-sqrt(5)
Simplify ((-2 + sqrt(432) + 1 - sqrt(432)) + sqrt(432) - (4 + sqrt(432)*2 - sqrt(432))) + 2.
-3
Simplify ((sqrt(228) + 1*sqrt(228))*4 + sqrt(228))/sqrt(12)*-2.
-18*sqrt(19)
Simplify (sqrt(18) - sqrt(72)/(-2*sqrt(4)))/((sqrt(6) + sqrt(6)*-2)*2).
-3*sqrt(3)/4
Simplify 4 + (1*(sqrt(700) + -1*sqrt(700)))**2 + -3.
1
Simplify 5 + 0 + (sqrt(3) - (sqrt(3) + sqrt(12)/sqrt(4))**2) + 4.
-3 + sqrt(3)
Simplify 3 + (-2*(sqrt(171)*2 - sqrt(171)) - sqrt(171))**2 + 1.
1543
Simplify (1*(-5 + sqrt(35)/sqrt(5)))**2.
-10*sqrt(7) + 32
Simplify (1*sqrt(105)/sqrt(3))/(sqrt(448) + 1*sqrt(448)).
sqrt(5)/16
Simplify 2 + sqrt(245)*4.
2 + 28*sqrt(5)
Simplify ((sqrt(1216) - (sqrt(1216) - (sqrt(1216)*-1)**2)) + sqrt(1216))*6.
48*sqrt(19) + 7296
Simplify (1 + sqrt(153) + -5 + sqrt(153))**2.
-48*sqrt(17) + 628
Simplify (sqrt(42)/(sqrt(8)/sqrt(4)))/(sqrt(30)/(sqrt(20)/sqrt(2))).
sqrt(7)
Simplify 2 + sqrt(13) + 1 + 3 + ((1*sqrt(208) + sqrt(208))**2 - (5 + -2*sqrt(13))).
3*sqrt(13) + 833
Simplify (sqrt(114)/sqrt(3))/sqrt(2)*-2.
-2*sqrt(19)
Simplify (sqrt(24)/sqrt(2)*5 - sqrt(12))/(sqrt(96)/sqrt(6)).
2*sqrt(3)
Simplify 5 + -2 + (sqrt(30)*-2)/sqrt(10).
-2*sqrt(3) + 3
Simplify (sqrt(7) - sqrt(63)*-2) + (-2*sqrt(175))**2.
7*sqrt(7) + 700
Simplify (-2*(0 + sqrt(17)) + (sqrt(17) - (0 + sqrt(2057))))*4.
-48*sqrt(17)
Simplify -2 + 5 + ((0 + sqrt(5))*3)**2.
48
Simplify (sqrt(70)/sqrt(90))**2 - (sqrt(84)/sqrt(3) + sqrt(28)).
-4*sqrt(7) + 7/9
Simplify 2*sqrt(192) - sqrt(9)/(sqrt(3)*-2).
33*sqrt(3)/2
Simplify (sqrt(1100)*2*6)**2.
158400
Simplify -4*sqrt(68)*-1.
8*sqrt(17)
Simplify -1*sqrt(119)/(sqrt(112)*3).
-sqrt(17)/12
Simplify (sqrt(72)*-1*-6 + sqrt(72) + -1 + sqrt(72) + sqrt(72) + 2)**2.
108*sqrt(2) + 5833
Simplify 3 + (sqrt(75) + -1 + sqrt(75))*-5.
-50*sqrt(3) + 8
Simplify (sqrt(18)/((sqrt(27)*5)/sqrt(3)))**2.
2/25
Simplify -2 + sqrt(176) + (sqrt(176) + -1)**2.
-4*sqrt(11) + 175
Simplify (-1*sqrt(1008))/(sqrt(27)/sqrt(3)*5).
-4*sqrt(7)/5
Simplify (3*(sqrt(99) + -3 + sqrt(99) + 3))**2.
3564
Simplify sqrt(308)/sqrt(112).
sqrt(11)/2
Simplify (-1 + sqrt(75))*2 + -1.
-3 + 10*sqrt(3)
Simplify (sqrt(2057) + ((sqrt(2057)*1)**2 - sqrt(2057)) + 1)*1.
2058
Simplify 4 + -4*sqrt(3)*1.
-4*sqrt(3) + 4
Simplify (sqrt(99) - 5*sqrt(99)*-1)/(-6*sqrt(81)).
-sqrt(11)/3
Simplify (-3 + -3*sqrt(275) + sqrt(275) - sqrt(275))**2.
90*sqrt(11) + 2484
Simplify sqrt(833) + 1 + (sqrt(85)/sqrt(5) + -2)**2.
3*sqrt(17) + 22
Simplify -6*(-1*sqrt(243)*-6*3)**2.
-472392
Simplify (sqrt(13) + (sqrt(39)/sqrt(3) + -1 - sqrt(13)))**2 + ((sqrt(52)/sqrt(4) + -5)**2 - sqrt(13)) + 5.
-13*sqrt(13) + 57
Simplify -4 + 4 + (2 + sqrt(11))*-5.
-5*sqrt(11) - 10
Simplify 4*6*((-1 + sqrt(68))*-1 + sqrt(68)).
24
Simplify (sqrt(468) - (0 + sqrt(468) + -5))**2.
25
Simplify 2 + -2 + sqrt(2) + (sqrt(128) - (-2 + sqrt(128) - sqrt(128)))**2.
33*sqrt(2) + 132
Simplify -6*(sqrt(128) - 2*sqrt(128)).
48*sqrt(2)
Simplify sqrt(20)/sqrt(4)*5 - (sqrt(5) + (2 + sqrt(5))*-2)**2.
-21 - 3*sqrt(5)
Simplify ((sqrt(110) - (6*sqrt(110)*1 - sqrt(110) - sqrt(110))) + sqrt(110))/((sqrt(120) - ((sqrt(120)*2 - sqrt(120)) + sqrt(120)))/sqrt(12)).
2*sqrt(11)
Simplify (-1*sqrt(22))/sqrt(11) - (4 + -5 + sqrt(2) - sqrt(2)).
-sqrt(2) + 1
Simplify (3*sqrt(34)*-6)/sqrt(2).
-18*sqrt(17)
Simplify (-2*sqrt(52)*-6)**2.
7488
Simplify 5*(sqrt(25)/((sqrt(605) - (sqrt(605) - -2*sqrt(605))) + sqrt(605)))**2.
25/121
Simplify (((-1*sqrt(12))/sqrt(6))**2 - sqrt(2)) + sqrt(2) + (sqrt(16)/sqrt(2))**2.
10
Simplify sqrt(36)/((sqrt(588) - 6*sqrt(588)) + sqrt(588) + sqrt(588) + sqrt(12)).
-sqrt(3)/20
Simplify (-1*sqrt(114)*-6)/(3*sqrt(24)) + 3.
3 + sqrt(19)
Simplify sqrt(5) + -3 + sqrt(500) - -3*(sqrt(80))**2.
11*sqrt(5) + 237
Simplify sqrt(10)/(1*sqrt(320)) + ((sqrt(392) - -2*sqrt(392))/sqrt(4))**2.
sqrt(2)/8 + 88
|
{
"pile_set_name": "DM Mathematics"
}
|
vided by x?
14
Suppose -5*s - 5 = 3*k - 0*s, 0 = 4*s + 16. Suppose 0 = 3*b - 13 - k. Suppose -d - b = -4*d. What is the remainder when 4 is divided by d?
0
Calculate the remainder when 110 is divided by 3/((-154)/26 - -2 - -4).
32
Let i = -2 + 8. Let y = i + -9. What is the remainder when 43 is divided by 10*(y/6 - -2)?
13
Let s = 78 - 38. Suppose -4 = n, -4*n + 5 = a - 0. What is the remainder when s is divided by a?
19
Suppose 3*y = -0*y + 48. Let q(t) = t**3 - t**2 - t + 4. Calculate the remainder when y is divided by q(2).
4
Suppose 0 = 7*h - 4*h - 12. Suppose -2*r = h, t + r = -3*r + 47. What is the remainder when t is divided by 19?
17
Suppose 14*r - 1101 = -401. What is the remainder when 149 is divided by r?
49
Let c(h) = h**2 - 1. Let u be c(1). Let z = -1 + u. Let s = 9 + z. Calculate the remainder when 14 is divided by s.
6
Let a = -2 + 2. Suppose -4*m - f = -218, a = -0*m + 3*m - 5*f - 152. Suppose 0*j - 5*j = l - 97, 74 = 4*j - l. Calculate the remainder when m is divided by j.
16
Let k(b) = 2*b + 6. Suppose 0 = 4*q + 5*c - 60, 3*c + 8 = 5*q - 30. Suppose 0*f = -r + f + q, -5*r = 5*f. What is the remainder when k(r) is divided by 9?
7
Suppose -5*s = 10, -g = -5*g - 3*s + 82. Calculate the remainder when g is divided by 6.
4
Let q = 4 - 0. Suppose 2*r - q*f + 5 = -3, 0 = -2*r - 2*f + 10. Calculate the remainder when 15 is divided by 3*r/(2/3).
6
Let y = 7 + 5. Suppose 4*l = -51 - 117. What is the remainder when (l/(-8))/(9/36) is divided by y?
9
Suppose -4*o + 2*s + 18 = 0, 5*o + 0*s = -2*s + 45. What is the remainder when 9 is divided by o?
2
Let f be ((-12)/(-10))/((-12)/(-30)). Suppose 1 + f = l. Let w(k) = -k**3 - 4*k**2 + 5*k + 2. What is the remainder when l is divided by w(-5)?
0
Suppose 0 = -2*p + 18 + 12. Let s = p + -11. Suppose -3*q + 13 + 13 = s*l, 12 = q + 2*l. Calculate the remainder when q is divided by 1.
0
Let t = 152 + -23. What is the remainder when t is divided by 33?
30
Calculate the remainder when (-1)/(((-2)/1)/34) is divided by 10.
7
Let s be 24/9 - (-6)/(-9). Let j be (6/4)/(s/100). Suppose j + 130 = 4*o + 3*f, 0 = -f + 3. Calculate the remainder when o is divided by 17.
15
What is the remainder when 50 is divided by 3 - 3 - 52/(-2)?
24
Let m = 111 - 40. Suppose -m - 29 = -5*n. What is the remainder when 58 is divided by n?
18
Let n = -131 + 149. Calculate the remainder when 87 is divided by n.
15
Suppose -8*n + 3*n = 15. Calculate the remainder when 34 is divided by (-12)/9*(n + -6).
10
Let g = -14 + 11. What is the remainder when 56 is divided by g/6*-34 - -2?
18
Let s = -27 + 51. Suppose 5*x - 2*x - 5*n = 49, -3*n = -2*x + 32. What is the remainder when s is divided by x?
11
Suppose 5*k + 19 = 144. Calculate the remainder when k is divided by 13.
12
Let d = 0 - -13. Suppose -15*z + 162 + 573 = 0. What is the remainder when z is divided by d?
10
Let v(k) = k**3 + 8*k**2 + 5*k - 6. Let x be v(-7). Suppose 3 = i - x. Calculate the remainder when i is divided by 6.
5
Let f = 149 + -106. Calculate the remainder when f is divided by 15.
13
Let z = 48 + -29. Suppose -t = 3*t - 144. What is the remainder when t is divided by z?
17
Suppose 4*t = 2*t + 4. Suppose -3*s - t*y + 52 = 0, 4*s = -5*y + 39 + 42. What is the remainder when s is divided by 5?
4
Suppose 2*d - 55 = -3*d. Suppose -w + 2*y + 4 + d = 0, -3 = -w - y. What is the remainder when 3930/195 + (-4)/26 is divided by w?
6
Suppose -2*y = -6*y + 48. Suppose 0*t - t = -y. What is the remainder when t is divided by 5?
2
Calculate the remainder when 6/(20/(-15) - -2) is divided by 4.
1
What is the remainder when -5*9/(27/(-12)) is divided by 11?
9
Suppose 6 = 3*t, 4*t + 57 = 2*h + 15. What is the remainder when 299 is divided by h?
24
Let s(n) = 7*n. Calculate the remainder when 1/2 - 46/(-4) is divided by s(1).
5
Let t = -85 + 92. Let y = 7 - 3. Suppose -k - 1 = -4*l - 4*k, -3*l + y*k = -32. What is the remainder when t is divided by l?
3
Calculate the remainder when 25 is divided by 2/4 - (-68)/8.
7
Suppose 0 = -5*g + 4 + 6. Suppose -2*o = -22 - g. Suppose -k + 18 + 5 = 4*s, 2*k = 2*s + 46. Calculate the remainder when k is divided by o.
11
Let p = 62 + 8. Calculate the remainder when p is divided by 24.
22
Suppose 3*k + k = 552. Let g = k - 65. What is the remainder when g is divided by 25?
23
Let b(r) = -r - 5. Calculate the remainder when b(-8) is divided by -3 - (-6*1 - 0).
0
Suppose -4*g - 3*m = -12, -2*g - 2*m + 9 = 3. Suppose -5*n + g*s = -49, 4*n - 2*n - 5*s = 12. Calculate the remainder when 41 is divided by n.
8
Let y(o) be the third derivative of o**5/60 - 5*o**3/6 + 9*o**2. What is the remainder when 42 is divided by y(-4)?
9
Suppose 4*a = 8*a + 5*m - 57, 2*m - 50 = -5*a. What is the remainder when 27 is divided by a?
3
Let j = 11 - 7. Let a be (1 + -4)/((-3)/j). Suppose 0 = -2*m + 2*o + a + 2, -5*o = -4*m + 10. What is the remainder when 14 is divided by m?
4
Let r = 75 - 49. Calculate the remainder when r is divided by 14.
12
Let l(n) = n**3 + 5*n**2 + 3*n. Let t = 12 - 6. Let v = t + -10. What is the remainder when l(v) is divided by 3?
1
Suppose 5*i - 256 = 104. Suppose a - 5*a = -i. What is the remainder when 16 is divided by ((-12)/a)/(4/(-54))?
7
Let o = 69 - 48. Suppose -2*g + 1 = -j + o, 0 = 3*g. What is the remainder when j is divided by 7?
6
Suppose 7*o = 3*o + 64. Calculate the remainder when o is divided by 9.
7
Let d = -92 - -165. Calculate the remainder when d is divided by 19.
16
Let p = 29 - 21. Suppose 5 = 2*x + 1. What is the remainder when p is divided by 1 - (2/x - 3)?
2
Suppose -3*y + 0*y = -48. Suppose 5*b - 65 = -5*q, -2*q - b + 2 = -5*b. What is the remainder when y is divided by q?
7
Let j(v) = v**2 + 6*v + 18. Suppose -3*h - 13 = -4. Let l = 17 + h. What is the remainder when j(-7) is divided by l?
11
Let o(r) = -r**3 + 7*r**2 - r + 5. Let f(b) = b**3 - 8*b**2 - 4. Let m(w) = -2*f(w) - 3*o(w). Calculate the remainder when m(6) is divided by 12.
11
Suppose 3*p = 8*p + 2*z - 95, 0 = -5*p + 2*z + 75. Calculate the remainder when 47 is divided by p.
13
Let x(c) = 2*c - 6. What is the remainder when 27 is divided by x(7)?
3
Suppose 181 = 4*h + d - 208, -111 = -h - 3*d. Suppose -h = -2*g + 5*b, b + 108 = 2*g + 2*b. Calculate the remainder when g is divided by 14.
11
Let a = -1 + 6. Suppose a + 11 = j. Suppose -j = -c + w - 7, 2*w = 5*c - 42. Calculate the remainder when 15 is divided by c.
7
What is the remainder when ((-12)/4)/((-6)/32) is divided by 10?
6
Let r(x) be the first derivative of 7*x**2/2 - 5*x + 8. What is the remainder when r(7) is divided by 23?
21
Let f = 8 + -6. Let z = 3 - f. Suppose -z = 5*x - 41. What is the remainder when x is divided by 5?
3
Suppose 30 = -13*v + 16*v. Suppose 0*m + g + 74 = -4*m, -2*g - 4 = 0. What is the remainder when (-1)/((-17)/m - 1) is divided by v?
8
Let c(q) be the first derivative of -2*q**2 + 1. Suppose 3*g + j - 122 = 6*j, -3*g = 3*j - 90. Calculate the remainder when g is divided by c(-3).
10
Suppose 0 = -0*s + 3*s - 39. What is the remainder when 50 is divided by s?
11
Let n = -14 - -17. Suppose 2*b = n*b - 33. What is the remainder when b is divided by 9?
6
Suppose 6*o - 8 - 22 = 0. Calculate the remainder when 0/(-1) - -17*1 is divided by o.
2
Let m(s) = -s**2 - 7*s + 5. Suppose -14 = 2*j - 2. What is the remainder when m(j) is divided by 3?
2
Let l(j) = -j**3 - 4*j**2 + 3*j - 6. What is the remainder when 12 is divided by l(-5)?
0
Let i(w) be the third derivative of w**5/30 - w**4/24 - 2*w**3/3 - 3*w**2. Calculate the remainder when i(3) is divided by 7.
4
Let g(t) = -5*t**3 + 7*t**2 + 2*t - 2. Let f(n) = 4*n**3 - 7*n**2 - n + 1. Let m(z) = -6*f(z) - 5*g(z). What is the remainder when m(-7) is divided by 17?
15
Suppose -4*v + 54 = -10. Suppose 4*c - 28 + 4 = 0. What is the remainder when 1 - -49 - c/2 is divided by v?
15
Suppose -7*c + 5*c + 6 = 0. Suppose 0 = -d + 5*a + 29, a + 50 = 4*d + c*a. What is the remainder when 54 is divided by d?
12
Let c(p) = p**3 + 9*p**2 + 3*p + 2. Calculate the remainder when 123 is divided by c(-8).
39
Suppose -9 = -3*t - 3. Suppose 24 = -0*u + t*u. Calculate the remainder when 23 is divided by u.
11
Suppose -7 = -4*f + 1, -5*f = 4*o - 62. Let v = 1 + 7. Calculate the remainder when o is divided by v.
5
Suppose 3*n = -5*t + 35, -6*
|
{
"pile_set_name": "DM Mathematics"
}
|
a**3 + 1667*a - 111
Differentiate -642*n**2*r**2 - 5909*n*r**3 - 1837038*r**3 wrt n.
-1284*n*r**2 - 5909*r**3
Differentiate -48270584*r**2 + 36329218 wrt r.
-96541168*r
What is the second derivative of 6781575*q**2 - 6194779*q?
13563150
What is the second derivative of 98709*v**5 + 7*v**3 - 141*v**2 + 378776368*v?
1974180*v**3 + 42*v - 282
Differentiate -232119252*n*z**3 + 330297593*z**3 wrt n.
-232119252*z**3
What is the first derivative of 38705193*s**3 + 32317521?
116115579*s**2
What is the third derivative of 21434831*a**3 - 356*a**2 + 30359?
128608986
What is the third derivative of 28172485*u**6 + 31415127*u**2 wrt u?
3380698200*u**3
What is the first derivative of -12*f*r**3*x - 250333*f*s - 10015*f*x - r**3*s*x - 7*r**3*s - 2*r**3 wrt s?
-250333*f - r**3*x - 7*r**3
Differentiate 1215960952*i**2 - 817720795.
2431921904*i
What is the second derivative of -576582*o**3 - 7114*o + 212 wrt o?
-3459492*o
What is the third derivative of 18852093*k**3 - 13394190*k**2?
113112558
Find the first derivative of -362592*m**4 + 27*m**3 - m**2 - 10829127.
-1450368*m**3 + 81*m**2 - 2*m
Differentiate 43*i**4*t - 6251*i**3*t**2 - t**2 - t - 1058045 with respect to i.
172*i**3*t - 18753*i**2*t**2
What is the third derivative of -50111*c*g**6 + 12*c*g**2 + 28509*c - 4064*g**6 - 4*g**2 + 5*g wrt g?
-6013320*c*g**3 - 487680*g**3
Find the second derivative of 547930141*l**4 - 753912119*l.
6575161692*l**2
Find the third derivative of h*u**3 - 8*h*u**2 + 4755*h*u + 3197743*u**3 - u**2 + 3*u + 2 wrt u.
6*h + 19186458
Find the second derivative of -1001*j**5 - j**4 + 304388*j**2 - 345657140*j.
-20020*j**3 - 12*j**2 + 608776
What is the third derivative of -44991*a*o**3*p - 6*a*o**3 - 4*a*o*p - a*o + 7*o**3*p + 2*o**3 + 37*o**2*p + o - 1230*p wrt o?
-269946*a*p - 36*a + 42*p + 12
Find the third derivative of -136650893*x**3 + 169162603*x**2 - 2*x.
-819905358
Differentiate 907*z**2 + 30196*z + 91451702.
1814*z + 30196
What is the third derivative of 15160*u**6 - u**5 - 281*u**3 + 31220*u**2 - 2*u - 132 wrt u?
1819200*u**3 - 60*u**2 - 1686
What is the third derivative of -4387700*r**5 + 57*r**2 + 13*r - 2050 wrt r?
-263262000*r**2
What is the derivative of 16325835*i**3*s - i**3 - 619*i**2 - 2*i - 1113 wrt s?
16325835*i**3
What is the first derivative of 82326216*r**4 + 2106841 wrt r?
329304864*r**3
Find the second derivative of -94*y**5 - 9957*y**4 + y**2 - 188542407*y wrt y.
-1880*y**3 - 119484*y**2 + 2
What is the third derivative of -36952*s**3*v**2 - 103*s**3*v + 475*s**2 - 2150*v**2 wrt s?
-221712*v**2 - 618*v
Find the third derivative of -14179*m**4 - 14068*m**3 + 28*m**2 + 1482279*m wrt m.
-340296*m - 84408
Find the first derivative of -13*q**4 - 495*q**2 - 24*q - 657685 wrt q.
-52*q**3 - 990*q - 24
What is the second derivative of -71*r*w**3 - 2*r*w**2 + 7*r*w + 813*r + 5*w**3 + 66*w**2 + w - 2 wrt w?
-426*r*w - 4*r + 30*w + 132
What is the first derivative of -454628977*s**2 - 65231584 wrt s?
-909257954*s
Find the third derivative of -121683738*k**3 - 197025568*k**2.
-730102428
What is the third derivative of 270621166*r**3 + 9640*r**2 + 5400 wrt r?
1623726996
Find the third derivative of -59033972*v**4 + v**3 - 675934*v**2 + 3*v - 4 wrt v.
-1416815328*v + 6
What is the second derivative of 3677380*g*z**2 - 30*g*z - 261101*g + z**4 wrt z?
7354760*g + 12*z**2
Differentiate 5*a**3 - 297025*a - 57418154.
15*a**2 - 297025
What is the first derivative of -3385061*f**3 - 13847033?
-10155183*f**2
What is the second derivative of 11392286*b*t**2 + 16*b*t - b - 310*t - 29 wrt t?
22784572*b
What is the first derivative of 532612614*j*v - 296251161*j wrt v?
532612614*j
Differentiate -5987946*j**2 + 3*j - 174447676 wrt j.
-11975892*j + 3
Differentiate 4437956*k**3*u*v - 3471*k**3 - 2*k*u**2*v + 374*k*u**2 with respect to v.
4437956*k**3*u - 2*k*u**2
What is the third derivative of 55913917*g**3 - 25589172*g**2?
335483502
What is the first derivative of 23793*u**2 + 507*u - 43805297?
47586*u + 507
What is the second derivative of -151198686*s**2 + 45012378*s?
-302397372
What is the second derivative of -59*m**3*p*t - 14937*m**3 + m*p*t - 16*m*t - 4483*p*t + 2*p + 6*t wrt m?
-354*m*p*t - 89622*m
What is the first derivative of 254329749*d**2 + 319172211 wrt d?
508659498*d
Find the third derivative of -26158*n**4 - 26633*n**3 + 9*n**2 + 70*n - 64891 wrt n.
-627792*n - 159798
Find the third derivative of -655730832*l**5 - l**2 - 2553*l - 3349.
-39343849920*l**2
Differentiate 57302653*o**3 - 2*o**2 + 328769058 wrt o.
171907959*o**2 - 4*o
Find the second derivative of 273731828*n**3 - 377526395*n.
1642390968*n
Differentiate -g**4*u - 29859719*g**2*u - 2*g**2 + 1591*u - 10185 with respect to g.
-4*g**3*u - 59719438*g*u - 4*g
Find the third derivative of -18*q**6 - q**5 - 190816*q**3 - 1758*q**2 + 51*q - 13 wrt q.
-2160*q**3 - 60*q**2 - 1144896
What is the first derivative of -44736912*h + 36210058?
-44736912
Differentiate -783*j**2*o + 3*j**2 + 4689*j*o - j - 2737700 with respect to o.
-783*j**2 + 4689*j
Differentiate 164569136*c + 153320164.
164569136
Differentiate -5*a*n*v - 1756*a*n - 219*a - 805*n*v + 7*n + 2283952*v with respect to n.
-5*a*v - 1756*a - 805*v + 7
Find the third derivative of 142431*m**5*z + 57*m**3*z**2 - 12*m**2*z**2 - 24*m**2*z + m**2 - 4*m - z**2 + 400*z wrt m.
8545860*m**2*z + 342*z**2
What is the first derivative of -237017366*h + 149369751 wrt h?
-237017366
What is the third derivative of 144380*z**5 + 255*z**4 + 3885*z**2 - 22687*z + 1 wrt z?
8662800*z**2 + 6120*z
Differentiate 231*h**3 + 313633*h**2 - 222781987.
693*h**2 + 627266*h
What is the second derivative of -27*m**2*t**2*y + 2*m**2*t - 1970*m*t**2*y + 2236874*m*y - 27*t**2 - 2*t wrt t?
-54*m**2*y - 3940*m*y - 54
What is the second derivative of -31193730*c**2 - 21114118*c?
-62387460
What is the third derivative of -405*j**5 - 48036*j**3 + 13951*j**2 + 365*j?
-24300*j**2 - 288216
Find the first derivative of -5445538*o**3*z**4 - 6974094*o**3 wrt z.
-21782152*o**3*z**3
Find the second derivative of -14990728*i**4 + 12859090*i wrt i.
-179888736*i**2
Find the third derivative of 13742894*o**3 - 244*o**2 + 63526.
82457364
What is the third derivative of 3441*f**4 + 885*f**3 - 58*f**2 + 68188*f wrt f?
82584*f + 5310
What is the second derivative of -221857706*r**3 + 49*r - 857764?
-1331146236*r
What is the third derivative of 9449*b**4 - 1875*b**3 + 97741*b**2 + 272*b?
226776*b - 11250
What is the second derivative of -499*a**2*y**3 - a**2*y - a**2 - 3*a*y**2 - 11667616*a + 351*y**3 - 2 wrt y?
-2994*a**2*y - 6*a + 2106*y
What is the second derivative of -979404*b**2 + 1101112*b?
-1958808
What is the first derivative of 9905101*g - 8691832?
9905101
Differentiate 4556449*h**3 + 2*h**2 - 372180 wrt h.
13669347*h**2 + 4*h
What is the derivative of 3*m**4 - 53*m**3 + 264472*m**2 - 264094529?
12*m**3 - 159*m**2 + 528944*m
What is the second derivative of 138*c*d**2*o - 7*c*d*o*w + 4*c*d*w - 10*c*d - 6*c*o + 3*c + 47*d**2*o*w + 3*d**2*o - 24*d**2 + 2*d*w wrt d?
276*c*o + 94*o*w + 6*o - 48
What is the second derivative of -u**3 + 6548848*u**2 - 3*u - 1132887?
-6*u + 13097696
What is the third derivative of -15*b**4 - 707735*b**3 - 87960097*b**2 wrt b?
-360*b - 4246410
Find the third derivative of 229566535*d**3 - 249513886*d**2 wrt d.
1377399210
What is the first derivative of 5*g**2*r + 6483929*g*r**3 - 3*r**3 + 17*r**2 - r + 51235 wrt g?
10*g*r + 6483929*r**3
What is the third derivative of 307729*s**5 + s**4 + 4*s**3 - 16*s**2 - 123115 wrt s?
18463740*s**2 + 24*s + 24
Find the first derivative of -r**3*u - 2*r**3 + 556*r**2*u - 2972*r**2 - 56*r*u - 1295*r + 5*u wrt u.
-r**3 + 556*r**2 - 56*r + 5
Differentiate 1378291*m*y + 125385*m + 19 wrt y.
1378291*m
What is the second derivative of 155074924*c**2 - 15157*c + 2054 wrt c?
310149848
Differentiate 91*m**2*u + m**2 - 118284*m*u**2 - 95917426*m + 2*u + 2 with respect to u.
91*m**2 - 236568*m*u + 2
What is the second derivative of 13*y**3 - 3258347*y**2 - 2*y - 1228237?
78*y - 6516694
What is the third derivative of 62457*i**6 + 2*i**5 + 15*i**3 + 6*i**2 + 335839 wrt i?
7494840*i**3 + 120*i**2 + 90
Find the second derivative of 149700*h**4 - 2*h**3 - 33*h**2 - h - 14211531 wrt h.
1796400*h**2 - 12*h - 66
Find the second derivative of -4979651*j**2*p
|
{
"pile_set_name": "DM Mathematics"
}
|
*v - 3*v)*(-5*v + 4*v - 9*v).
-44*v**4 + 10*v**3
Expand (-14*f + f - 3 + 9*f)*(-3*f - 4 + 4)*(-10*f**2 + 1706 - 1706 - 2*f).
-120*f**4 - 114*f**3 - 18*f**2
Expand (2*f**2 + 2*f**2 - 3*f**2)*(f + 2*f - f) + f**2 + 2*f**2 + 3*f**3 - 2*f**3.
3*f**3 + 3*f**2
Expand (4 - 3 - 2)*(0*s - 3*s + 4*s)*(-1 - 6 + 1)*(-3*s**2 + 0*s**2 + s**2).
-12*s**3
Expand (-x - 15*x - 7*x)*(3*x + 2*x - 4*x)*(1 - 1 + 2) - 2*x**2 + x**2 + 4*x**2.
-43*x**2
Expand -836*v**3 - 239*v**3 + 235*v**3 - 5*v**3 + 4*v**3 + 0*v**3 - 3*v**3 + v**3 + 0*v**3 + (0 + 0 + 2*v**2)*(2*v - 3*v + 0*v).
-845*v**3
Expand 2*l**4 + 2*l**4 - 2*l**4 + (2 - 2 + 2*l**3)*(2*l - 2*l + l) + l + 2*l**4 - l - 5*l + 9*l**4 + 5*l + 22*l**4 - 23*l**4 + 22*l**4.
36*l**4
Expand (361*b + 1 + 366*b - 735*b)*(-2 - 2*b + 2).
16*b**2 - 2*b
Expand 2*o**2 - 2*o**2 + 2*o**4 + (-o**3 - 4*o + 4*o)*(3*o - 6*o + o) + 0*o**4 + 0*o**4 + o**4 + (-1 + 1 + 3*o**3)*(2*o - 6*o + 3*o) - 3*o**2 + 3*o**2 - o**4.
o**4
Expand (428 - 204 - 203)*(6 + 4*s - 6)*(0 - 3 + 5).
168*s
Expand (0*o + 5*o - 3*o)*(-11*o - 50 - 47 + 12*o).
2*o**2 - 194*o
Expand (-5*b**2 + 3*b**2 + 0*b**2)*(b - 3*b - b) + (-3*b**3 + 23*b - 23*b)*(-2 - 7 + 1).
30*b**3
Expand (3*j - 3*j + 3*j**2)*(-2 + 5 - 2)*(48 - 71*j - 48).
-213*j**3
Expand h**5 + 134*h**3 - 463*h**4 - 254*h**4 - 132*h**3 + (-2*h**2 + h**2 - h**2)*(4 - 4 + h**3).
-h**5 - 717*h**4 + 2*h**3
Expand (-9 - 60*c + 38*c + 8*c)*(-2 + 0 + 3)*(c**2 - 2*c**2 + 2*c**2).
-14*c**3 - 9*c**2
Expand (1 - 3 + 0)*(32 - 15 - 19 - 2 + 1 + 2 + (3 + 1 - 5)*(2 - 5 + 4))*((5 - 4 - 2)*(4*g - 4*g + g) + 2 - 4*g - 2) + 0 - 3*g + 0.
-23*g
Expand -m**5 - m**5 + m**5 + (-18 + 18 - 140*m**3)*(-4*m**2 + 4*m**2 + 2*m**2).
-281*m**5
Expand (0 + 0 + 2)*(37*f - 2*f + 23*f)*(2 - 2 - 1).
-116*f
Expand a**4 - 4*a**4 + a**4 + (-2*a**3 - 5*a**2 + 5*a**2)*(3*a - 4*a - a) + (2*a**3 + 2*a**3 - a**3)*(2*a - 3*a + 0*a).
-a**4
Expand (181*f - 319*f - 434*f - 321*f - 583*f)*(-f + 4*f - 5*f).
2952*f**2
Expand (-8*k + 8*k - 2*k**5)*(-7 + 5 - 5)*(2 + 1 + 2).
70*k**5
Expand (-2 - 7 + 1)*(4 - 4 - 15*k).
120*k
Expand (-16*d**2 + 37*d**2 + 20*d**2)*(-7*d**2 + 8*d - 8*d).
-287*d**4
Expand (-3*t**2 + 5*t**2 + 0*t**2)*(0*t**2 - t**2 - 3*t**2 + (-1 - 2*t + 3 + 2)*(0 + t + 0)).
-12*t**4 + 8*t**3
Expand (0*p**2 - 7*p**2 - p**2)*((-55 - 6*p**3 + 55)*(0 - 1 + 2) - 6*p**3 - 3*p**3 + 2*p**3).
104*p**5
Expand (-7*t - 4*t + 4*t)*(-2*t + 0*t - t**2 + 4*t**2).
-21*t**3 + 14*t**2
Expand (2 - 258 + 111)*(12*n**3 - 6*n**3 - 15*n**5 - 7*n**3).
2175*n**5 + 145*n**3
Expand (3*s - 3*s**4 - 3*s)*(-50 + 140 + 247 + 55).
-1176*s**4
Expand 0*b**4 + 2*b**4 - b**4 + 2*b**3 - 2*b**3 - b**4 + (38*b**3 + 43*b**3 + 37*b**3)*(3 - 1 + 0)*(-3*b + 2*b + 0*b).
-236*b**4
Expand (15 - 15 - 22*i)*(2 - 3 - 6)*(-2 + 12 - 2).
1232*i
Expand (-17 + 17 - 15*o**3)*(2 - 2*o**2 - 2).
30*o**5
Expand -3 + 3 + 2*q - 13*q + 3*q - 9*q + (-4 + 2*q + 4)*(-1 + 0 + 0) + q + 5*q - 3*q.
-16*q
Expand (q - 8*q + 3*q)*(7*q - 5 - 10*q - q).
16*q**2 + 20*q
Expand (-1 + 3 + 1)*(4*f**2 - 9*f**4 - 5*f**2 + 3*f**2).
-27*f**4 + 6*f**2
Expand (-4 + 4 - 2 - 39*f)*(19 - 19 - 5*f**3).
195*f**4 + 10*f**3
Expand (29*g**2 - 40*g**2 - 52*g**2)*(-g**3 - 2*g**2 + 2*g**2) - 2*g**5 + 5*g**5 + 4*g**5.
70*g**5
Expand (-1 + 1 - g**3)*(-17*g + 4*g + 4*g)*(0 + 0 - 7*g).
-63*g**5
Expand (3*s**4 + s**4 + s**4)*(28*s - 27*s + 39*s) - 4*s**4 + 4*s**4 + 3*s**5.
203*s**5
Expand (-45 - 8 - 121)*(2 + x + 0*x + 0*x).
-174*x - 348
Expand (1822 - 900 - 900 + 1 + 0 + 0 + 4 + 1 - 3 + (0 - 2 + 0)*(3 - 1 + 0) + 1 + 0 + 1 + 2 - 1 - 2 + 2 - 1 - 3)*(0 + 2 - 4)*(-2*d + d + 4*d).
-120*d
Expand (50 - 135 + 45 + 50)*(r**3 + r**3 + 0*r**3).
20*r**3
Expand (-o**4 + 0*o**4 + 0*o**4)*(4*o - 5*o + 3*o) - 30*o**5 + 4 - 4 - 11 + 11 + 2*o**5 + (o + 2*o**4 - o)*(2*o - 4*o + 0*o) - 2*o**4 - o**5 + 2*o**4.
-35*o**5
Expand d**3 + 3*d**3 - 3*d**3 + (23*d**3 - 5*d**3 + 11*d**3)*(-2 - 1 + 4).
30*d**3
Expand -8*j**4 - j**2 + j**2 + (-j + 0 + 0)*(j**3 - 1 + 1) - 5*j**4 - 25*j + 25*j.
-14*j**4
Expand (-1 - 5 + 4)*(90 - 90 + 20*d).
-40*d
Expand 0*x**2 - 23*x**2 - 12*x**2 + (-2*x + 4 - 4)*(0*x + x - 2*x) + x**2 + 7*x**2 + 0*x**2.
-25*x**2
Expand -2 - s**3 + 3*s**2 + 2 + s**3 + 0*s**3 + 0*s**3 + (-2 + 3 + 0)*(s**2 + 2*s**3 - s**2) - 2 + s**3 + 2.
3*s**3 + 3*s**2
Expand -m - 2*m + m + (-99 + 18 - 20)*(2*m + 4*m - 5*m).
-103*m
Expand -h**3 + 3*h**3 - 4*h**3 + (5*h**2 - h**2 - 2*h**2)*(4*h - 14*h + h) + (-6*h**2 + 5*h**2 + 6*h**2)*(h - 2*h - h).
-30*h**3
Expand (-4*u + 6*u + 0*u)*(8*u - 2*u - 2*u) + 11*u**2 - 46 + 46.
19*u**2
Expand (2*r + 0*r - r)*(-23 - 22 - 302*r + 44 - 141*r).
-443*r**2 - r
Expand -5*y**2 + 0*y**2 + 2*y**4 + 3*y**2 + (3 - 3 - y**3)*(107 - 107 + 57*y).
-55*y**4 - 2*y**2
Expand ((-2 + 2 + 1)*(-5 - 8 + 7) - 1 + 1 + 1)*(y + y - 4*y) + (-4*y - y + 3*y)*(-2 + 3 + 6).
-4*y
Expand (0*z + 0*z + z)*(-3 + 3*z**4 + 3) + (1 - 1 - 2*z)*(18 - 4*z - 18)*(z**2 + 2*z**3 - z**2).
19*z**5
Expand ((-1 - 1 + 0)*(0*o + 2*o + 0*o) - 2 + 2 + 2*o + 0 + 5*o + 0 + (-1 - 2 + 1)*(6*o + o - 3*o))*(-26 + 4 - 3).
125*o
Expand 2*y**3 + 81*y + 3*y**2 - 81*y + (-5*y + 3*y + 4*y)*(-2*y**2 + 4*y**2 - y**2).
4*y**3 + 3*y**2
Expand (6*z**2 + z - 2*z**2 + 0*z**2)*(0*z**3 + z**3 - 6*z**3).
-20*z**5 - 5*z**4
Expand (2*o**4 + 0*o**2 + 0*o**2)*(-3*o - o + 6*o)*(-86 - 62 + 2).
-584*o**5
Expand (0 + 0 - s)*(0*s - 2*s + 5*s) + 2*s**2 + 0*s**2 + 0*s**2 + ((3 + 4 - 6)*(3*s - s - 4*s) + 1 - 1 + s)*(-178 - 17*s + 178).
16*s**2
Expand (-46*n**5 + 19*n**5 - 233*n**5)*(-1 + 0 + 2).
-260*n**5
Expand (0*x + x - 3*x)*(-5 + 1 - 1)*(-3 - 15 - 5).
-230*x
Expand (-2*f**5 + 0*f**2 + 0*f**2)*(-170 + 21 - 148) + 0*f**5 + 3*f**5 - 4*f**5 - f**5 + f**5 + 2*f**5 + (0 - 2*f**2 + 0)*(-4*f**3 + 3*f**3 + 3*f**3).
591*f**5
Expand (-1 - 1 + 3)*(8*t - 2*t**2 + 129 + 182 - 42*t**3 - 309).
-42*t**3 - 2*t**2 + 8*t + 2
Expand (-k - 3*k + 2*k + (-k + 0*k + 0*k)*(0 + 1 - 2))*(-478*k**3 + 303*k**3 + 428*k**3).
-253*k**4
Expand (7*n - 7*n + 2*n**2)*(-40*n + 40*n - n**3).
-2*n**5
Expand (-22 - 9*f - 9*f + 20*f)*(-3 + 1 + 1 + (-2 + 2 + 1)*(0 + 0 - 2)).
-6*f + 66
Expand (q - 4*q + 4*q)*(2 + 3 - 3) + 13*q + 8*q + 8*q.
31*q
Expand (-3*v + 3*v + v)*(-2 - 2 + 3) - 12*v + 5*v - v + 10*v + 2 - 11*v - 11*v + 5 + 2*v - 5.
-19*v + 2
Expand -a**3 + a**5 + a**3 + (-a**4 + 3*a**4 - 4*a**4)*(-6*a + 2*a + 2*a) - a**5 + 0 + 0 + 23*a**5 + 9*a**5 + 17*a**5.
53*a**5
Expand (-m + 2*m + 0*m)*(15*m + 5*m**2 - 4*m**2 - 3*m**2)*((3*m**2 - 5*m**2 + 3*m**2)*(1 + 2 - 2) + 3*m**2 - 4*m**2 + 3*m**2).
-6*m**5 + 45*m**4
Expand (-2*c + 4*c - 4*c)*(-5 + 2*c**4 + 5) + (-9*c + 0*c + 2 - 29*c)*(-2*c**4 + c**4 - c**4).
72*c**5 - 4*c**4
Expand (2*b + 2*b - 6*b)*(94 - 54 - 213 - 135).
616*b
Expand (0 - 5 + 2)*(1 - 4 + 2)*(-6*n + 2*n - 2*n).
-18*n
Expand (11*h - 11*h + 5*h**3)*(0*h**2 + 4*h**2 + 0*h**2) + (0*h + 6*h - 4*h)*(h**4 + 27*h**4 + 7*h**4).
90*h**5
Expand 43*d**2 - 109*d**2 + 46*d**2 + (d**2 + d**2 - 4*d**2)*(3 + 2 - 4) + (0*d + 0*d - 2*d)*(0 + 0 - 2*d).
-18*d**2
Expand 2*i - i + 3*i + 0 + 2*i + 0 + (-5*i + 2*i + 5*i)*(1 + 0 - 4) - 3 + 3 + 3*i.
3*i
Expand 2*h**4 + 5 - 5 + 1 - 1 - 12*h**4 + (3*h**3 - 6*h**3 + 4*h**3)*(-6*h + 11*h + h) + 0*h**4 + 2*h**4 + 0*h**4.
-2*h**4
Expand (s + 0*s - 2*s)*(-1 - 2 + 2) + 2 - 5*s - 2 - 5*s + 11*s + 6*s.
8*s
Expand (-11*z**4 + 21*z**4 + 31*z**4)*(0 + 1 + 0) - 8*z**4 + 0*z**4 + z**4.
34*z**4
Expand (6 + 4*s**2 - 6)*(10*s + s + s)*(0 + 2 + 0)*(-6*s**2 + s**2 + 2*s**2).
-288*s**5
Expand (4 - 1 - 1)*(7 + w**2 - 8*w**2 + 7).
-14*w**2 + 28
Expand (1 + 1 + 0)*(-23 + 5*z + 23)*(-1 + 0 + 2)*(3 - 2 - 7).
-60*z
Expand (f**4 - 4*f**4 + 5*f**4)*(-13*f - 98*f + 31*f).
-160*f**5
Expand (2*p - 3*p - p)*(-2 - p + 2) + 2 - 2 - p**2 + ((3 + 0 - 1)*(2*p + 8 - 8) + p + 0 + 0)*(-5 + 5 + 2*p).
11*p**2
Expand (-h**2 + 0*h**2 + 2*h**2)*(h - 2*h + 3*h) - 308*h**3 + 2374*h - 2374*h.
-306*h**3
Expand (-3*h**3 - 2*h**3 + 4*h**3 + h**2)*(-30*h - 141*h - 68*h).
239*h**4 - 239*h**3
Expand (15*q**3 + q + 278*q**2 - 278*q**2)*(26 + 41 - 8).
885*q**3 + 59*q
Expand 0*p**4 - 3*p**4 - p**4 + (0 + 2*p + 0)*(-2*p**3 - p**3 + 4*p**3) - 14*p**4 - 274 + 274 - 1 + 1 - 2*p**4.
-18*p**4
Expand (-4 + 1 + 4)*(-h**5 + 2*h**5 - 2*h**5) - 2*h**5 + 4*h**3 - 4*h**3 - 124*h**5 + 53*h**5 + 2*h**3 + 55*h**5.
-19*h**5 + 2*h**3
Expand (2*a + 3*a - 2*a)*(124*a - 2*a + 63*a).
555*a**2
Expand (0*
|
{
"pile_set_name": "DM Mathematics"
}
|
he remainder when (-2)/(-4) - f/10 is divided by w(6)?
9
Let p(x) = -6*x - 92. Calculate the remainder when 103 is divided by p(-20).
19
Let u be 2/(-6) - (-10)/30. Suppose -y + 87 + 183 = u. Suppose -4*f + 162 = 3*w - f, -2*f = 5*w - y. What is the remainder when w is divided by 14?
12
Let d = 134 + -95. Let h = -7 - -21. Calculate the remainder when d is divided by h.
11
Suppose 0 = 10*f - 721 - 119. What is the remainder when f is divided by 18?
12
Suppose -2*b - 4*a - 22 = 0, -3*b = -2*a + 8 + 1. Let i = b + 5. What is the remainder when 69 is divided by 108/(-6)*(-1 - i)?
15
Suppose -x + 2*x - 31 = 0. Suppose 86*v + 4 = 68*v + 148. What is the remainder when x is divided by v?
7
Suppose -10*t + 6*t + 172 = 0. Let c(j) = 3 + j**2 + j**3 + 4*j**2 - 4. What is the remainder when t is divided by c(-4)?
13
Suppose -2*y = 4*d + 3*y - 298, y - 146 = -2*d. Let r = -153 + 157. Suppose -777 = -17*m - r*m. Calculate the remainder when d is divided by m.
35
Let f = 64 - 46. What is the remainder when 28 is divided by f?
10
Let g = 28 + -11. Suppose 2*p + 11 = 3*m, 0*m - 5*m = -2*p - g. Suppose -m*h + 25 + 11 = 0. What is the remainder when 21 is divided by h?
9
Suppose 25*f - 17*f - 16 = 0. Calculate the remainder when 7 + (5 - -164) + 2/f is divided by 30.
27
Let a(n) = 57*n**2 - n - 1. Calculate the remainder when 117 is divided by a(-1).
3
Let g = 77 - 53. Suppose -f + g = -49. Calculate the remainder when f is divided by 2 - (6/(-9) + (-147)/9).
16
Suppose 14*a - 295 = -85. What is the remainder when 2052 is divided by a?
12
Suppose -n = -22 - 27. Let m = n + -30. Suppose -19 - m = -y. Calculate the remainder when y is divided by 10.
8
Suppose k - 178 = -5*i, i - 2*i = -k - 32. Calculate the remainder when i is divided by 33.
2
Suppose -2*k + 5 + 5 = 0. Calculate the remainder when ((-150)/(-20) - -1)/((-3)/(-6)) is divided by k.
2
Let y(j) = -j**3 - 8*j**2 - 3*j - 10. Let w = 40 + -53. Let i = w - -53. What is the remainder when i is divided by y(-8)?
12
Let z(o) = 6*o**2 + 3*o - 1. Let m be z(-7). Suppose 12*r - m = 8*r. Calculate the remainder when r is divided by 23.
22
Suppose -3*t + 82 = 4*y, -2*y + 4*t - 14 = -3*y. Suppose -21*u = -35*u + 882. Calculate the remainder when u is divided by y.
19
Let n = -5 - -10. Suppose n = 4*q + 13. Calculate the remainder when 4 is divided by (-1)/1 - (q - 2).
1
Let d(b) = -b**3 - 10*b**2 - 6*b - 42. Let u(p) = 4*p + 2. Let m be u(-3). Calculate the remainder when 52 is divided by d(m).
16
Suppose 3*h + 0*h = 3*c + 69, 0 = -h - 3*c + 23. What is the remainder when 159 is divided by h?
21
Let w(s) = s**3 + 11*s**2 - 2*s - 12. Let l be w(-11). Let u be 5/(l/6) + 1. Suppose -u*m + 24 = -0*m. What is the remainder when 17 is divided by m?
5
Suppose 2*i - 12 = 24. Let c = -7 + 12. Suppose 0*j - 2*j = -p + 24, -c*j - 43 = -2*p. What is the remainder when p is divided by i?
16
Let k = -2029 - -2040. Calculate the remainder when 132 is divided by k.
0
What is the remainder when (-15)/2*252/(-30) is divided by 34?
29
Suppose 0 = 2*g - 32 - 126. Calculate the remainder when 193 is divided by g.
35
Calculate the remainder when (-1)/(-2) - (-38)/4 is divided by 5.
0
Suppose -160 + 258 = 4*u + 5*g, -90 = -4*u - g. Calculate the remainder when 22 is divided by u.
0
Let v be ((-8)/(-4))/((-1)/2). Let n = v - -31. Let k = -31 + 45. Calculate the remainder when n is divided by k.
13
Let f = 222 + -135. Calculate the remainder when f is divided by 42.
3
Let l = -22 - -27. Suppose 23 = o + 4*q, l*q - 17 = -2. Suppose -4*x - 4 = -c - 5*x, 2*x + 4 = 0. What is the remainder when o is divided by c?
5
Suppose -3*p - 30 = -z + 4*z, 0 = 5*p - 10. Let x(q) = q**3 + 13*q**2 + 9*q - 3. What is the remainder when x(z) is divided by 12?
9
What is the remainder when (-1)/2*-200 - 8 is divided by 31?
30
Suppose -4*o - 3 + 124 = -3*b, b = 2*o - 63. Let x = -21 + o. Calculate the remainder when 49 is divided by x.
10
Suppose -3*q = 9*q - 84. Calculate the remainder when 109 is divided by q.
4
Let h = -155 - -162. What is the remainder when 53 is divided by h?
4
Let o(q) = 6*q**2 - 4*q + 1. Calculate the remainder when o(5) is divided by (22/55)/((-4)/(-330)).
32
Let s(j) = 3*j + 13. Let f be s(-3). What is the remainder when 35 is divided by (f/8)/((-4)/(-104))?
9
Let y = -716 + 734. Let h = -47 + 117. What is the remainder when h is divided by y?
16
Let s = 28 - -1. Calculate the remainder when 115 is divided by s.
28
Suppose 11*p = 15*p - 292. What is the remainder when p is divided by 38?
35
Let m = 202 - 111. Calculate the remainder when m is divided by 35.
21
Let n be 16/(-5 - -1) + -3. Let u(c) = -c**3 + 5*c**2 - 5*c + 4. What is the remainder when u(3) is divided by -4 + n/2*-2?
1
Let z(n) = -15*n - 2. Suppose 150 = -5*l + t, 2*l - 4*t - 125 = 7*l. Let w = -14 - l. What is the remainder when z(-3) is divided by w?
13
Let t be 6/4*(-2 - -4). Suppose -b + 24 = t*b. Suppose -3*n = -76 + 13. What is the remainder when n is divided by b?
3
Let q(n) = -83*n**2 + 28*n**2 - 6 + n + 25*n**2 + 29*n**2 - 13*n. Let r be (4/3)/(2/(-12)). Calculate the remainder when 76 is divided by q(r).
24
Suppose 116*n = 115*n + 45. What is the remainder when 260 is divided by n?
35
Let u = 416 + -332. What is the remainder when 331 is divided by u?
79
Let h be -1 - (-1)/(4 + -3). Suppose h = 2*p + 2 - 72. Suppose 10*o - 5*o - p = 0. Calculate the remainder when 13 is divided by o.
6
Suppose -2*o + 108 = -28*u + 32*u, o + u - 58 = 0. Calculate the remainder when 181 is divided by o.
57
Let k = -113 - -244. What is the remainder when k is divided by 33?
32
Suppose -p + 57 = 14. Let l = p + -8. What is the remainder when l is divided by (1 + 3 - 2)/((-4)/(-18))?
8
Let g be (-2 + 1265/20)*4. Suppose g = -5*q + 680. What is the remainder when q is divided by 13?
9
Let m be ((-6)/10)/(10/(-50)). Calculate the remainder when (1040/6)/4 + 2/m is divided by 8.
4
Suppose -4*l - 5*y = -8, 3*y - 7*y = 3*l - 6. Suppose -q + 1 = -l*q. Let s = q + 2. What is the remainder when 3 is divided by s?
0
Calculate the remainder when 43 is divided by (637/9)/7 + 2/(-18).
3
Suppose -4*c + 5*m + 84 = 0, m + 1 = -3. Calculate the remainder when 47 is divided by c.
15
Suppose -2 = g + 2*z, -3*z = 3 + 6. Calculate the remainder when ((-2)/(-3))/(g/54) is divided by 4 - (-5)/30*6.
4
What is the remainder when 15 is divided by (-2)/(-3) - (-168)/72?
0
Let f(i) = 41*i**2 - 2*i + 3. Let g(m) = -m**3 + 3*m**2 - 3. Let k be g(2). What is the remainder when f(k) is divided by 9?
6
Suppose -7*a = -14 - 0. Calculate the remainder when 61 is divided by 31/5*(3 + a).
30
Let d(h) = -h - 6. Let w be d(-6). Suppose -a + b + b + 21 = w, 0 = b + 3. What is the remainder when 0 - 0 - (8 - a) is divided by 4?
3
Let x = -86 - -99. Let a(n) = -6*n + 5. Calculate the remainder when a(-5) is divided by x.
9
Suppose 3*u - u = 14. Let t = 18 - -12. Let w = t - -4. Calculate the remainder when w is divided by u.
6
Suppose -2*o - o = -243. Let s = o - 76. Calculate the remainder when 83 is divided by s.
3
Suppose -2582 = -2*q - 4*b, 4*q - 10*b - 5224 = -6*b. What is the remainder when q is divided by 14?
13
Let k = -18 - 5. Let t be (-3 + 16)/(2*(-4)/8). Let a = t - k. What is the remainder when 37 is divided by a?
7
Let w = -4570 - -4592. Suppose 3*o = 4*o - 26. What is the remainder when o is divided by w?
4
Suppose 10 = 2*q + 3*q, -b + q + 95 = 0. What is the remainder when b is divided by 10?
7
Suppose 37*b - 3*q = 38*b - 47, 3*b + 4*q = 156. Suppose -k - 1 - 1 = 0, 4*l = 2*k + 68. Calculate the remainder when b is divided by l.
8
Let v = -46 + 82. Let t be (v/(-45))/(4/(-10)). Calculate the remainder when 46 is divided by t*(18/3 + 0).
10
Let a = -800 + 841. Calculate the remainder when 145 is divided by a.
22
Suppose 0 = 2*z + 8, 2*z + 197 - 51 = 3*a. Calculate the remainder when 73 is divided by a.
27
Let z = 7 - -37. Let f = -20 + z. What is the remainder when f is divided by 5?
4
Suppose 0 = 5*l - l - 100. Suppose -20 = -2*b + 5*u, -3*b + 24 = 2*u - l. Let t = 67 - b. Calculate the remainder when t is divided by 18.
16
Let w = 3 - -5. Let f(i) be the second derivative of -i**5/20 + 11*i**4/12 + 8*i**3/3 - 17*i**2/2 + 5*i. Calculate the remainder when f(12) is divided by w.
7
Let k = -8 - -13. Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
m(q) = 1 + 1 - 105*q**3 + 2*q + 103*q**3 - 2*q**2 + 0*q. What is m(t)?
6
Let j = 10 + -21. Let h = 10 + j. Let f(x) be the first derivative of x**4/4 - x**2/2 - 22. Determine f(h).
0
Let u(o) = 5*o**3 + o - 3. Let d(v) = -6*v**3 - v**2 - v + 4. Let l(z) = 3*d(z) + 4*u(z). What is l(2)?
6
Let b(c) = -c**3 + 5*c**2 - 6*c + 5. Let o = -22 + 38. Suppose 0*a + 2*f = 2*a - 2, -a = 3*f - 17. Suppose -3*v + 23 = a*z, -v = -3*z - 5*v + o. Give b(z).
-3
Suppose -12 = -3*d - 4*b - 5, -2*d = -4*b - 18. Let i(l) = 3 - l**2 + 7*l - 2 + l**2 - l**2. Calculate i(d).
11
Suppose 22*x + 38 = -16*x. Let k(y) = 8*y**2 - 2*y - 2. Calculate k(x).
8
Let t(v) = -5*v**2 + 8*v - 8. Let p(i) = -2*i**2 + 3*i - 3. Let g(b) = -8*p(b) + 3*t(b). Let l(x) = 6*x - 4. Let k(w) = -g(w) - l(w). Calculate k(-6).
4
Let p(g) be the first derivative of g**4/4 + 8*g**3/3 + g**2 + 3*g + 348. Determine p(-8).
-13
Let m(b) = -33*b - b**2 + 2 - b**2 + 34*b + b**2. What is m(3)?
-4
Let d(q) = q**2 - 13*q + 40. Let u be d(4). Let g(b) = -5*b + 8. What is g(u)?
-12
Let h(a) be the third derivative of -a**4/24 + 529*a**2. Suppose 0 = 2*r - 6*r + 8. Give h(r).
-2
Let b(v) = v**2 + 2*v - 2. Let g be b(2). Let x be ((-20)/12)/((-5)/g). Let o(h) = 7 + x + 12*h**2 - 9. Give o(1).
12
Let o(y) = y**3 + 34*y**2 + 3. Let l be o(-34). Let n(x) = x**3 - x**2 - 4*x - 1. Determine n(l).
5
Let d be 2 - ((-9)/3 - -1). Let l(y) = 843 - 3*y - 851 + d*y. What is l(0)?
-8
Let m(r) = -r**3 - 11*r**2 - 9*r + 11. Suppose 5*s - 49 + 9 = 4*u, 0 = s. Calculate m(u).
1
Let w(n) be the third derivative of -n**4/24 + n**3/2 + 9*n**2. Let r = -113 + 119. Calculate w(r).
-3
Let i(p) = -2*p + 22. Let h = -1532 + 1543. What is i(h)?
0
Suppose 7*p + 7 + 7 = 0. Let o(v) = 9*v**3 - 9*v - 4. Let b(c) = 5*c**3 - 5*c - 2. Let f(i) = 11*b(i) - 6*o(i). Determine f(p).
-4
Let r = 9 + 2. Let i(o) = 13 - 1 + 3 + 2 + r*o. Let p(u) = 5*u + 8. Let n(a) = 3*i(a) - 7*p(a). Give n(4).
-13
Let q(p) = 6*p**3 - 17*p**2 + 16*p - 3. Let x(o) = 5*o**3 - 16*o**2 + 15*o - 3. Let f(g) = 4*q(g) - 5*x(g). Calculate f(11).
3
Let k(n) = -n**3 + 8*n**2 + 8*n - 2. Suppose -36 = 4*s - 8*s. What is k(s)?
-11
Let g(s) = 2*s**2 - 2*s + 1. Let h = 4 - 2. Let l be (h - 1)*(1 + 2 - 5). Give g(l).
13
Let l(w) = -w + 1. Let d(v) = -26*v + 4. Let f(j) = d(j) - 12*l(j). Let o(a) = -5*a - 3. Let t(i) = -4*f(i) + 11*o(i). Give t(-5).
-6
Let b(v) = 2*v + 2. Let a be (-2)/7 - 52/14. Give b(a).
-6
Let i(k) = k - 4. Let a be i(5). Let c(p) = -2*p. Let z be c(-1). Let v(g) = z - 2*g - 4 + 2. What is v(a)?
-2
Let k(r) = -r + 6. Suppose -f = 4*c - 18, 4*c - 11 = -2*f + 9. What is k(f)?
4
Let n(b) = -93*b - 99*b + 179*b. What is n(-1)?
13
Let i(r) = -106 + 189 - 2*r - 93. Calculate i(-12).
14
Let j(i) = -i - 1. Let r(h) = h + 2. Let z(g) = 5*j(g) + 4*r(g). Give z(-4).
7
Let z be (-84)/(-10) - (-686)/(-490). Let g(s) = s**2 - 10*s + 7. Determine g(z).
-14
Let l(k) be the first derivative of 30 - 8/3*k**3 - 1/2*k**2 + 1/4*k**4 + 5*k. Determine l(8).
-3
Suppose 4*y + 6*y = 4*y. Suppose y*t - 3 = -t. Let n(f) = -f - 4. Calculate n(t).
-7
Suppose 4*y - 5*y = 0. Suppose -4*s + 20 = -y*s. Suppose -26 = -s*x - 2*z, 0*z + 3*z + 3 = 3*x. Let j(o) = o**3 - 4*o**2 - 3*o - 3. Calculate j(x).
-15
Let q = -1 - -23. Let r(z) = z**2 - 22*z + 11. Give r(q).
11
Let q(x) = x + 11. Let d(v) = v**3 - 4*v**2 - 3. Let g be d(4). Let y(c) = c + 11. Let j(w) = g*q(w) + 4*y(w). Determine j(-6).
5
Let a(b) = 670 - 2*b - 700 - 5*b. Determine a(-5).
5
Let v(a) = 3*a - a - 3*a. Let z(i) = i**3 - 3*i**2 + i + 5. Let w be z(0). Suppose -w*o + 5 - 5 = 0. Determine v(o).
0
Let u = 0 - 0. Let j(w) = 61*w + 19. Let p(t) = -38*t - 13. Let v(x) = -5*j(x) - 8*p(x). Give v(u).
9
Let u(d) = -3*d - 3. Let y = -4 - -2. Let x = 1 - y. Suppose -x*g + 12 = -2*m, -2*m - 1 = m + 4*g. Calculate u(m).
6
Let x(n) = -n**3 - 4*n**2 - n + 1. Let h be x(-4). Let c be ((-8)/(-10))/4*h. Suppose s + c = -3. Let f(a) = -a**3 - 4*a**2 - 2*a - 6. Determine f(s).
2
Let z be 92/16 - 1/(-4). Let i be (10/6)/(1/z). Let v = 8 - i. Let r(h) = -4*h - 2. Calculate r(v).
6
Let t = 219 - 221. Let h(i) = -3*i + 1. Give h(t).
7
Let g(c) = -13*c**3 + 2*c**2 + 4*c + 1. Let d be g(-1). Suppose 7*z + d = z. Let v(u) = -2*u**2 - 4*u - 2. Give v(z).
-2
Let y(a) = -a**2 + 20*a + 23. Let x be y(21). Let l(n) = 4*n**2 + 2*n**2 + 47 - x*n - 46. Calculate l(1).
5
Let k = 168 - 168. Let r(f) = -23*f - 4 + f**2 + 23*f. What is r(k)?
-4
Let l(y) = 21 + 0*y**3 - 8*y + 4*y**3 - 9*y**2 + 10*y**3 - 16*y**3 + 3*y**3. What is l(10)?
41
Suppose 0 = 5*w - 0*w. Let c(a) be the third derivative of -a**4/24 - 5*a**3/2 - 7561*a**2. What is c(w)?
-15
Let i(x) = -3*x - 1. Let v(m) = -m**3 - 3*m**2 + 13*m + 7. Let s(h) = h**2. Let r(z) = 5*s(z) + v(z). Let w be r(5). Calculate i(w).
8
Let c be (-42)/9*(-216)/28. Let i(p) = -7 + 1 - c*p + 37*p. Determine i(6).
0
Let j(m) = m**3 - 13*m**2 + 10*m + 17. Let a = -213 - -225. Determine j(a).
-7
Let b(o) be the third derivative of 3*o**4/8 + o**3/2 - 155*o**2. Give b(4).
39
Let w(x) = -32*x + 11*x + 19*x - 14. What is w(-8)?
2
Let v be 9*4/12 - 2/(-1). Let f(k) = -k + 3 - 2*k + 6*k**2 - k**3 - 3*k. Give f(v).
-2
Let b(l) be the third derivative of -l**8/6720 + l**7/630 + l**6/360 - l**5/120 + 11*l**4/24 - 7*l**2. Let p(m) be the second derivative of b(m). Give p(4).
7
Suppose 4*p - 63 = -2*o - 61, -p - 3*o + 3 = 0. Let g(h) = -h - 1. Give g(p).
-1
Suppose 4*q = 0, -8 = -3*a + q + 4. Let b be a + (-3)/3 - -10. Let m(y) = -y - b + 13. Give m(-3).
3
Let v(y) = -2 + y**2 - 3 + 1 + 5 - 6 + 7*y. Let m(q) = -6*q + 1. Let u be m(1). Calculate v(u).
-15
Let f = 190 + -195. Let p(c) = 8*c**2 - c + 3. Let q(l) = 2*l - 16*l**2 - 1 - 1 - 3. Let s(t) = f*p(t) - 3*q(t). Give s(1).
7
Let t be ((-63)/441)/(2/(-98)). Let o(d) = -d**2 + 8*d. Give o(t).
7
Let w(q) be the second derivative of -q**4/12 - q**3/3 - 3*q**2/2 - q. Let c(o) = o**2 - 10*o + 8. Let d be c(12). Let l = d - 34. Give w(l).
-3
Let f(k) = -3*k + 19. Let w(l) = -l + 10. Let u(q) = 2*f(q) - 5*w(q). Determine u(-11).
-1
Let t(c) = c**3 - c**2 + 3*c - 1. Suppose 132*d = 134*d. Determine t(d).
-1
Let y(w) = 2*w + 56*w**2 - 22*w**2 - 15*w**2 - 22*w**2 + 6. Let o be y(-2). Let j(i) = -i - 4. Calculate j(o).
6
Let u(p) = -p - 5. Let k be u(-8). Suppose -2 = 7*w - 16. Let g(v) = v - v**k - v**w + 2 - 4 + 2. Calculate g(1).
-1
Let b(g) = 1. Let m(h) = -h - 8. Let d(a) = 3*b(a) + m(a). Suppose -8*z + 16 = -10*z. Calculate d(z).
3
Let j(g) = -g**2 + 5*g - 5. Let w be 4/8 - (-27)/(-6). Let b be 4 - (-3 - w) - -2. Determine j(b).
-5
Let k(a) = 5*a - 6 + 0 - 6*a - 4. Let q(b) = 6*b + 17. Let m be q(-4). What is k(m)?
-3
Suppose -26 = -5*u + 19. Let g be 9/2*(-6)/u. Let k be 5/(-10)*(-1 - g). Let w(m) = -10*m - 1. Calculate w(k).
9
Let s(x) = -x**3 + 9*x**2 + 10*x. Suppose 338 = 2*i + 318. Calculate s(i).
0
Let a(b) = -4*b**3 - 19*b + 9. Let j(t) = -t**3 - 6*t + 3. Let d be (-2)/(-4)*(-8)/(-3 + 5). Let x(h) = d*a(h) + 7*j(h). Determine x(2).
3
Let j(k) = -k**3 + 6*k**2 - 7*k - 2. Let m(z) = 0*z - 12 - 9 - 2 - 4*z. Let y be m(-7). Give j(y).
-12
Let c = -90 - -79. Let t be (-2)/(-4)*(-8)/(-2) + c. Let r(z) = 5*z**2 + 6*z + 11. Let i(x) = -x**2 + x - 1. Let y(m) = 4*i(m) + r(m). Give y(t).
-2
Let u(y) be the third derivative of y**6/180 + y**5/30 - y**4/8 - 4*y**2. Let s(r) be the second derivative of u(r). What is s(-4)?
-12
Let t(v) = v**2 + 8*v + 14. Let d be t(-6). Let w be -4 - (-4 - -4) - d. Let l(o) = -o**3 - 7*o**2 - 8*o + 1. What is l(w)?
13
Let t(v) be the first derivative of -v**4/2 - 17*v**3/3 - 9*v**2/2 - 11*v - 271. Calculate t(-8).
-3
Suppose 3*q = -64 + 76. Let j(s) = s + 1. Give j(q).
5
Suppose 19*x - 7*x + 5*x = 0. Let r(c) = c**2 + 26. Give r(x).
26
Let f(m) = m**3 + 4*m**2 - 5*m - 4. Let l(n) = -2*n + 4. Let z = -7 - -11. Suppose 2*d = -v, -2*d + z = -v - 6*d. Let t be l(v). Determine f(t).
16
Let j(w) be the second derivative of w**3/6 - 17*w. Let d(s) = 3*s - 6. Let m(v) = -d(v) + 4*j(v). Calculate m(-6).
0
Let i(o) = -2*o + 4. Let x(a) = 2*a + 6. Let c be x(-2). Let s be i(c). Let h(f) = 3*f + 8 + 2 + s*f - 7. Determine h(-2).
-3
Let c(u) be the first derivative of u**3/3 + u**2/2 - u + 3. Let t(q) = -2*q**2 - q + 1. Let m(p) = -c(p) - t(p). Let v = -145 + 147. Give m(v).
4
|
{
"pile_set_name": "DM Mathematics"
}
|
8, 1147010, 1338380, 1529840?
1721402
What is the next term in -353154, -352498, -351842, -351186, -350530?
-349874
What comes next: -14316, -8316, -2316, 3684?
9684
What comes next: 4784892, 9569813, 14354734, 19139655?
23924576
What is the next term in -51035, -51119, -51203, -51287, -51371?
-51455
What comes next: -7782858, -15565711, -23348562, -31131411, -38914258, -46697103?
-54479946
What is the next term in -73216, -73168, -73102, -73012, -72892, -72736?
-72538
What comes next: -1518607, -1518598, -1518589, -1518580?
-1518571
What is the next term in -223187, -446399, -669615, -892835, -1116059, -1339287, -1562519?
-1785755
What is next in -49835, -50025, -50209, -50387, -50559?
-50725
What is the next term in -20697, -20596, -20491, -20382, -20269, -20152, -20031?
-19906
What is the next term in 17863, 70993, 159359, 282955, 441775, 635813?
865063
What comes next: -2697, -18376, -61009, -144072, -281041, -485392, -770601?
-1150144
What is the next term in -1148653, -1149575, -1151113, -1153267, -1156037?
-1159423
What is next in -480201690, -480201689, -480201688?
-480201687
What is next in 21030292, 21030288, 21030284?
21030280
What is next in -320712, -641442, -962218, -1283064, -1604004?
-1925062
What is the next term in -1727024, -3454040, -5181056?
-6908072
What comes next: 152, 602, 1438, 2744, 4604?
7102
What is the next term in -192, -287, -448, -663, -920, -1207, -1512, -1823?
-2128
What is next in -351697, -703397, -1055097?
-1406797
What is next in 3576511, 3576500, 3576487, 3576472, 3576455, 3576436, 3576415?
3576392
What is next in -22228, -44520, -66816, -89116, -111420, -133728?
-156040
What is the next term in 316, 2075, 6732, 15739, 30548?
52611
What comes next: 48, 27, -114, -441, -1020, -1917?
-3198
What is the next term in 122, 768, 2322, 5180, 9738, 16392?
25538
What comes next: -19517, -19527, -19547, -19577?
-19617
What is the next term in 232, 2051, 7054, 16855, 33068?
57307
What is the next term in 4594002, 9188003, 13782004, 18376005?
22970006
What is the next term in -160, -245, -260, -217, -128, -5, 140?
295
What is next in 705, 2864, 6581, 11952, 19073?
28040
What is the next term in -7726061, -15452088, -23178109, -30904118, -38630109, -46356076, -54082013, -61807914?
-69533773
What comes next: -4345, -16029, -35503, -62767, -97821?
-140665
What is next in 27196, 27232, 27286, 27364, 27472, 27616, 27802, 28036?
28324
What is next in -127171, -127133, -127095, -127057, -127019?
-126981
What comes next: 323, 261, 199, 137?
75
What comes next: -13329399, -26658794, -39988191, -53317590, -66646991?
-79976394
What is next in 191861, 190650, 189439?
188228
What is the next term in 952241, 952283, 952325?
952367
What comes next: 2053725, 4107411, 6161097, 8214783, 10268469, 12322155?
14375841
What is next in 1084, 1969, 2866, 3781, 4720, 5689, 6694, 7741?
8836
What is the next term in 17966649, 35933306, 53899963?
71866620
What is the next term in -32228, -128997, -290284, -516089, -806412, -1161253, -1580612?
-2064489
What is next in 416, -273, -1552, -3529, -6312, -10009?
-14728
What comes next: -16961, -19341, -23307, -28859, -35997, -44721, -55031?
-66927
What is next in -52745, -105494, -158243, -210992, -263741, -316490?
-369239
What is the next term in 1152141, 4608627, 10369437, 18434571, 28804029, 41477811, 56455917?
73738347
What is the next term in -2915, -12758, -29159, -52118, -81635, -117710?
-160343
What comes next: -4694, -9396, -14096, -18782, -23442, -28064, -32636?
-37146
What comes next: 1340, 5238, 11762, 20912, 32688, 47090, 64118?
83772
What comes next: -59932985, -119865972, -179798959?
-239731946
What is next in 76713, 76710, 76705, 76698?
76689
What comes next: -150492381, -300984762, -451477143, -601969524, -752461905, -902954286?
-1053446667
What is next in -7582505, -7582474, -7582443?
-7582412
What is next in 10237, 10103, 9971, 9841, 9713, 9587?
9463
What is next in 166364, 166066, 165570, 164876, 163984, 162894, 161606?
160120
What comes next: 2693597, 5387068, 8080541, 10774016, 13467493, 16160972, 18854453?
21547936
What comes next: 2170286, 2170235, 2170114, 2169893, 2169542, 2169031, 2168330?
2167409
What is next in -310829792, -310829790, -310829788, -310829786, -310829784, -310829782?
-310829780
What comes next: -11940, -28673, -50190, -76485, -107552, -143385, -183978, -229325?
-279420
What comes next: -2628, -5487, -8346, -11205, -14064, -16923?
-19782
What comes next: -46761486, -93522966, -140284446?
-187045926
What comes next: 4923750493, 4923750492, 4923750489, 4923750484, 4923750477, 4923750468, 4923750457?
4923750444
What comes next: -48785, -195128, -439015, -780440, -1219397, -1755880, -2389883, -3121400?
-3950425
What comes next: 134039814, 134039809, 134039804, 134039799, 134039794, 134039789?
134039784
What is next in -205331, -821328, -1847997, -3285338, -5133351, -7392036, -10061393?
-13141422
What is the next term in -500961, -1001814, -1502667, -2003520, -2504373?
-3005226
What comes next: -380, 28, 424, 808, 1180, 1540?
1888
What is the next term in 99762, 94314, 85220, 72474, 56070, 36002?
12264
What is the next term in 174277943, 174277942, 174277941, 174277940, 174277939, 174277938?
174277937
What is the next term in -32511, -65329, -98147?
-130965
What comes next: 81863939, 163727878, 245591817, 327455756, 409319695, 491183634?
573047573
What comes next: -360656, -353519, -341618, -324947, -303500, -277271, -246254?
-210443
What is next in -23460, -23282, -22986, -22572, -22040, -21390?
-20622
What comes next: -1164271, -2328532, -3492793?
-4657054
What is next in -2134611, -4269233, -6403855?
-8538477
What comes next: 650, 934, 1284, 1700, 2182?
2730
What is the next term in -1206, -2473, -3690, -4857, -5974, -7041?
-8058
What is the next term in 1884031, 1884029, 1884025, 1884019, 1884011?
1884001
What is the next term in -18516, -18291, -18066, -17841, -17616, -17391?
-17166
What is next in 21749756, 21749758, 21749760?
21749762
What is the next term in 6068, 6083, 6108, 6143, 6188, 6243?
6308
What is next in -231582, -231739, -231896?
-232053
What comes next: -5578, -23038, -52138, -92878?
-145258
What is the next term in 12556, 12673, 12872, 13153, 13516, 13961?
14488
What is next in 14423, 51778, 114037, 201200, 313267, 450238?
612113
What is the next term in 20395, 80404, 180419, 320440, 500467?
720500
What is next in -6846732, -13693457, -20540180, -27386901?
-34233620
What is the next term in 861, 1673, 2393, 2973, 3365, 3521, 3393?
2933
What is the next term in -98, -467, -1096, -2003, -3206, -4723?
-6572
What is next in -4114640, -4114620, -4114604, -4114592, -4114584?
-4114580
What comes next: -722948, -1445919, -2168890, -2891861, -3614832?
-4337803
What is the next term in -1578, -951, 288, 2313, 5298, 9417?
14844
What comes next: 9212, 8451, 7182, 5405, 3120?
327
What comes next: 289921, 579846, 869771?
1159696
What is next in 2022325, 2022651, 2022979, 2023309?
2023641
What is next in -60738, -60231, -59724, -59217?
-58710
What comes next: 31392, 31475, 31574, 31683, 31796, 31907?
32010
What is the next term in 113, -1886, -9577, -26524, -56291, -102442?
-168541
What is next in -6167, -5918, -5701, -5522, -5387, -5302, -5273?
-5306
What is next in 2153, 2337, 2887, 4001, 5877?
8713
What is the next term in 248294, 248208, 248096, 247946, 247746?
247484
What comes next: -212142, -211541, -210940, -210339, -209738?
-209137
What comes next: -1435, -6124, -14067, -25264, -39715, -57420, -78379?
-102592
What is the next term in -1905969, -3811926, -5717883, -7623840, -9529797?
-11435754
What comes next: -858, 834, 5490, 14592, 29622, 52062, 83394, 125100?
178662
What is next in 442, 884, 1392, 2038, 2894, 4032, 5524?
7442
What is next in 1115139, 1115140, 1115141, 1115142, 1115143, 1115144?
1115145
What comes next: 12510, 24756, 37002, 49248, 61494, 73740?
85986
What is the next term in -17, -106, -305, -662, -1225, -2042, -3161?
-4630
What is next in 7837, 7730, 7627, 7534, 7457, 7402, 7375, 7382?
7429
What is next in -20137, -38594, -57039, -75472, -93893, -112302, -130699?
-149084
What is next in -659, -2882, -6605, -11834, -18575, -26834, -36617, -47930?
-60779
What is the next term in -674515, -1349026, -2023537, -2698048, -3372559,
|
{
"pile_set_name": "DM Mathematics"
}
|
late the smallest common multiple of 51 and 12066.
205122
Calculate the lowest common multiple of 42012 and 164592.
64026288
What is the lowest common multiple of 112309860 and 39?
112309860
What is the smallest common multiple of 73752 and 12685344?
12685344
Find the common denominator of -16/5959707 and -59/3536.
95355312
Calculate the smallest common multiple of 6207760 and 32760.
391088880
What is the least common multiple of 1211446 and 45878?
958253786
What is the common denominator of 19/2 and 35/131987182?
131987182
Find the common denominator of 27/7746046 and 50/63.
69714414
What is the common denominator of -155/135447828 and -91/92?
135447828
Find the common denominator of -13/720 and 187/48967020.
195868080
Calculate the common denominator of -51/224030 and -97/516.
1344180
Calculate the lowest common multiple of 6460 and 90100.
1711900
What is the least common multiple of 4368 and 181728?
16537248
Calculate the common denominator of 125/119712 and 59/3406.
203869536
Calculate the common denominator of -23/379904 and 11/4864.
7218176
What is the common denominator of 37/22460808 and -103/660612?
22460808
Calculate the lowest common multiple of 207 and 70719.
4879611
Calculate the common denominator of -46/1557309 and 16/359379.
4671927
What is the smallest common multiple of 4171875 and 389375?
29203125
Find the common denominator of 115/194668548 and 19/8752.
778674192
Calculate the lowest common multiple of 31026 and 204.
1054884
What is the least common multiple of 315 and 13689669?
205345035
Find the common denominator of 43/4691726 and 47/5642.
32842082
What is the common denominator of -5/6118 and -43/30170?
13184290
Find the common denominator of -57/400 and 101/21817600.
21817600
What is the common denominator of 31/30316900 and 59/789070?
576021100
What is the smallest common multiple of 116 and 1115688?
1115688
What is the least common multiple of 248368 and 344?
248368
Calculate the smallest common multiple of 2 and 139969453.
279938906
Calculate the smallest common multiple of 44673402 and 379723917.
759447834
What is the common denominator of -81/14 and 69/29848?
29848
Find the common denominator of 143/909984 and -105/1216.
34579392
What is the lowest common multiple of 11408 and 29568?
21081984
What is the common denominator of 101/11779850 and 27/471194?
11779850
Find the common denominator of -107/153120 and 31/479428.
632844960
What is the smallest common multiple of 371925 and 2700?
1487700
What is the lowest common multiple of 225 and 856440?
4282200
What is the least common multiple of 55546904 and 17854362?
499922136
Find the common denominator of 27/127112 and -89/244.
7753832
Calculate the least common multiple of 11102322 and 616.
44409288
What is the least common multiple of 34884330 and 81396770?
244190310
What is the least common multiple of 712 and 181916?
363832
Calculate the common denominator of -43/455 and -8/27475.
357175
Find the common denominator of -64/15 and -31/134478378.
672391890
Calculate the lowest common multiple of 9113273 and 7010210.
91132730
What is the least common multiple of 262036 and 132?
8647188
Calculate the least common multiple of 124104 and 672.
3474912
Calculate the lowest common multiple of 3591 and 104016.
124507152
Calculate the common denominator of 47/416 and -55/7074288.
14148576
What is the smallest common multiple of 65802 and 2051826?
22570086
What is the least common multiple of 64339620 and 4?
64339620
What is the smallest common multiple of 3952854 and 2627?
146255598
Find the common denominator of -91/82364 and -71/1007912.
59466808
Calculate the least common multiple of 252942 and 14163.
1194139182
Calculate the least common multiple of 6161200 and 408.
314221200
Calculate the common denominator of -19/194 and -131/34814270.
34814270
What is the common denominator of 89/6734 and -67/6647494?
86417422
What is the common denominator of -71/233533134 and -97/1336?
934132536
What is the lowest common multiple of 15900098 and 2?
15900098
Calculate the least common multiple of 878 and 72936.
32018904
What is the lowest common multiple of 26553 and 18179?
9107679
Calculate the common denominator of -27/26593 and -9/2359.
8961841
Calculate the least common multiple of 128616005 and 6477065.
900312035
What is the smallest common multiple of 158166 and 340866?
103282398
What is the lowest common multiple of 16315960 and 17947556?
179475560
What is the least common multiple of 1629950 and 350?
1629950
Calculate the smallest common multiple of 15479220 and 400.
309584400
Calculate the smallest common multiple of 5724140 and 16096.
45793120
What is the smallest common multiple of 104519556 and 30162?
1149715116
What is the common denominator of -97/1368 and -127/216258?
2595096
Calculate the common denominator of 22/1325 and -32/244465.
64783225
What is the common denominator of 49/2449156 and -10/61841189?
247364756
Calculate the common denominator of -17/497431 and -56/555.
276074205
Find the common denominator of 97/29700 and 145/63828.
17552700
What is the smallest common multiple of 145090238 and 1453810?
725451190
What is the smallest common multiple of 22478040 and 7020?
22478040
Find the common denominator of -43/238120 and 107/6875715.
55005720
What is the lowest common multiple of 14892 and 6489189?
25956756
Calculate the lowest common multiple of 2350600 and 12600.
21155400
Calculate the lowest common multiple of 47725 and 64325.
1479475
Calculate the least common multiple of 80406 and 4812.
64485612
Find the common denominator of -33/2235320 and 103/6658400.
312944800
What is the least common multiple of 59972712 and 12?
59972712
Find the common denominator of -1/18602046 and -29/643467.
204622506
What is the common denominator of -40/1951 and -3/113967665?
113967665
Find the common denominator of -87/10922 and 67/66951.
17005554
What is the least common multiple of 864416 and 169796?
9508576
What is the least common multiple of 65317 and 1313935?
56499205
What is the lowest common multiple of 153924 and 10908?
1385316
Calculate the least common multiple of 468 and 1051176.
40995864
Calculate the lowest common multiple of 39977580 and 1164.
39977580
Calculate the lowest common multiple of 1069259 and 5346295.
5346295
What is the least common multiple of 584800 and 54400?
2339200
Find the common denominator of 43/8475 and -41/10905.
6161325
Calculate the smallest common multiple of 39900 and 1836450.
69785100
Calculate the smallest common multiple of 50674554 and 12126.
50674554
Calculate the least common multiple of 4263182 and 14322.
12789546
Calculate the smallest common multiple of 72 and 783868.
14109624
Calculate the least common multiple of 16 and 650048.
650048
Calculate the smallest common multiple of 13865 and 2897785.
2897785
Find the common denominator of -13/285 and -89/190845.
3626055
What is the common denominator of 95/16 and 33/1087393762?
8699150096
Calculate the smallest common multiple of 11439180 and 4003713.
80074260
Calculate the smallest common multiple of 6536676 and 6536676.
6536676
Calculate the common denominator of 61/16000 and 69/9718720.
485936000
Calculate the common denominator of 59/1164654 and -37/170118.
15140502
Calculate the least common multiple of 13899 and 63561.
294478113
Calculate the common denominator of -121/1264360 and -83/103920.
7586160
What is the smallest common multiple of 141037600 and 7285?
141037600
What is the least common multiple of 13876368 and 909579?
596683824
Calculate the smallest common multiple of 260 and 1294660.
16830580
What is the lowest common multiple of 15702309 and 27?
15702309
Find the common denominator of 11/135286 and 53/52592.
20563472
Calculate the smallest common multiple of 7972152 and 79044.
55805064
Calculate the lowest common multiple of 11160 and 9621160.
86590440
Calculate the common denominator of -22/119367 and -49/168161577.
1513454193
What is the lowest common multiple of 61376684 and 20?
306883420
Calculate the common denominator of -121/18 and 1/5817786.
17453358
What is the smallest common multiple of 8251012 and 176792?
676582984
What is the least common multiple of 28 and 10697808?
74884656
Calculate the common denominator of 31/400992 and 65/116.
11628768
Calcu
|
{
"pile_set_name": "DM Mathematics"
}
|
terms in 0*p - 16*p + 25*p.
9*p
Collect the terms in -104*k**3 + 49*k**3 + 56*k**3.
k**3
Collect the terms in -d**2 + d**2 + 28*d**3 - 273*d**3.
-245*d**3
Collect the terms in 0*l**3 + 0*l**3 + 3*l + 3*l**3.
3*l**3 + 3*l
Collect the terms in -859*i + 432*i + 429*i.
2*i
Collect the terms in g**3 + g**3 + g**3.
3*g**3
Collect the terms in -140*s**2 - 233*s**2 - 45*s**2.
-418*s**2
Collect the terms in 1 + 1 - 4 + 3 + 2*o.
2*o + 1
Collect the terms in -4*l + 33 + l + 2*l.
-l + 33
Collect the terms in -4*w**2 + 247*w - 247*w - 7*w**2.
-11*w**2
Collect the terms in x**2 + 3 - 16 + 13.
x**2
Collect the terms in -11*v + 24 + 6*v + 1.
-5*v + 25
Collect the terms in 483*x**3 - 247*x**3 - 246*x**3.
-10*x**3
Collect the terms in 1574*f + 2 - 4 + 1161*f.
2735*f - 2
Collect the terms in -3186586 + 3186586 + 2*u**2.
2*u**2
Collect the terms in 8*i + 7104 - 7104.
8*i
Collect the terms in 5*a + 10*a - 3*a - 6*a.
6*a
Collect the terms in 2144*i**3 + i - i - 2140*i**3.
4*i**3
Collect the terms in t + 2*t - 12*t - t**3.
-t**3 - 9*t
Collect the terms in 7*l + 53*l**2 - 7*l.
53*l**2
Collect the terms in 2*v**2 + 15*v - 8*v**2 - 15*v.
-6*v**2
Collect the terms in -1333*h**3 - 1322*h**3 + 2657*h**3.
2*h**3
Collect the terms in 1 - 2*n**3 - 1.
-2*n**3
Collect the terms in -45*q**3 - 38 + q + 11 + q.
-45*q**3 + 2*q - 27
Collect the terms in -24 - 5*h**3 + 12 + 12.
-5*h**3
Collect the terms in 7*c**3 - 11*c + 0*c + 11*c.
7*c**3
Collect the terms in 6*w - 3*w - 6*w.
-3*w
Collect the terms in -44*s**3 - s**2 + 0*s**2 - 28*s**3.
-72*s**3 - s**2
Collect the terms in -114*b - 83*b - 80*b.
-277*b
Collect the terms in -4*y**3 - 580*y**2 + 580*y**2 - 3.
-4*y**3 - 3
Collect the terms in 2 - 2 - 16*q.
-16*q
Collect the terms in 21315*h**2 - 42637*h**2 + 21321*h**2.
-h**2
Collect the terms in 201*f**2 - f**3 - 201*f**2.
-f**3
Collect the terms in 69 + 60 - 205 + 2*n + 76.
2*n
Collect the terms in -2*t**3 + 37*t + 45*t - 82*t.
-2*t**3
Collect the terms in 6 + 4*m - 21*m - m.
-18*m + 6
Collect the terms in -18*k + 49*k - 28*k.
3*k
Collect the terms in 28*c**3 + 27*c**3 - 87*c**3 + 30*c**3.
-2*c**3
Collect the terms in -105 + 3*d**2 - 2*d**2 - 24.
d**2 - 129
Collect the terms in -3*p**3 + p**2 + 6*p**2 - 7*p**2.
-3*p**3
Collect the terms in 47014*y - 4*y**2 - 47014*y.
-4*y**2
Collect the terms in 24*k + 32 - 32 + 16*k.
40*k
Collect the terms in -208*f**3 - 204*f**3 + 417*f**3.
5*f**3
Collect the terms in -11*x**2 + 4 - 22*x**2 + 48*x**2.
15*x**2 + 4
Collect the terms in -751*j**3 + 3*j**2 - 8*j**2 + 4*j**2 + 727*j**3.
-24*j**3 - j**2
Collect the terms in -112*w + 3*w**3 - 101*w + 200*w.
3*w**3 - 13*w
Collect the terms in 224*l**3 - 454*l**3 + 232*l**3.
2*l**3
Collect the terms in 5*f + 5*f + 4*f - 3*f.
11*f
Collect the terms in 2 - 44*d - 2 + 43*d.
-d
Collect the terms in -212*x**3 + 401*x**3 - 188*x**3.
x**3
Collect the terms in -2 - 9*k**2 + 2.
-9*k**2
Collect the terms in -32*v**2 - 132*v**2 - 147*v**2.
-311*v**2
Collect the terms in 4*m - 4*m + 115*m**2 + 108*m**2 - 218*m**2.
5*m**2
Collect the terms in -34*u**2 + 80*u**2 - 44*u**2.
2*u**2
Collect the terms in -70*j**2 - 77*j**2 + 291*j**2 - 69*j**2 - 70*j**2.
5*j**2
Collect the terms in -h + 16*h + 6*h - 3*h - 4*h.
14*h
Collect the terms in 35*u**3 - 16*u**3 - 11*u**3 - 5*u**3.
3*u**3
Collect the terms in 123 + h**3 + 2*h**3 - 123.
3*h**3
Collect the terms in -4*s**2 + s**2 + 13*s - 13*s.
-3*s**2
Collect the terms in 1019*d + 1009*d - 2030*d.
-2*d
Collect the terms in 32*p - 68*p + 35*p.
-p
Collect the terms in 5 + 4 + 6 + h.
h + 15
Collect the terms in 45*l - 1 + 41*l + 1 - 83*l.
3*l
Collect the terms in -4*g**2 - 9*g + g**2 + 9*g + 30*g**3.
30*g**3 - 3*g**2
Collect the terms in 226*f - 29*f - 31*f.
166*f
Collect the terms in -19*u**2 + 5*u**2 + 4*u**2 + 5*u**2.
-5*u**2
Collect the terms in 332866*h**2 + 7*h**3 - 332866*h**2.
7*h**3
Collect the terms in -100*x**2 + 2*x**3 + 100*x**2.
2*x**3
Collect the terms in 15*b - 7*b + 0*b + 21*b.
29*b
Collect the terms in 12*v - 23*v**3 - 12*v.
-23*v**3
Collect the terms in 674 - 674 + 4*z.
4*z
Collect the terms in 96 - d - 96.
-d
Collect the terms in 0*t**2 + 0*t**2 + 11*t**3 - t**3.
10*t**3
Collect the terms in -5*z + 2*z + z + 9*z.
7*z
Collect the terms in -9*t**2 - 5*t**2 + 8*t**2 + 5*t**2.
-t**2
Collect the terms in -4*p**2 + 8*p**2 + 35*p**2.
39*p**2
Collect the terms in 18*t**3 - 13 + 21*t**3 + 15.
39*t**3 + 2
Collect the terms in -7411*c + 32*c**2 - 8*c**2 + 4*c**2 + 7411*c.
28*c**2
Collect the terms in -s**3 + 2*s**3 + 954*s + s**3.
2*s**3 + 954*s
Collect the terms in 2 - 6*j + 6*j - 238*j**3.
-238*j**3 + 2
Collect the terms in -2*y**2 - 6*y**2 + y**2.
-7*y**2
Collect the terms in -7*j**3 + 21*j**2 - 21*j**2.
-7*j**3
Collect the terms in -26*g + 35*g - 40*g.
-31*g
Collect the terms in 3148*r + 3 - 2 - 1.
3148*r
Collect the terms in 880*a + 847*a - 1727*a - a**2 + 2*a**2.
a**2
Collect the terms in -8*g - 83*g - 4*g.
-95*g
Collect the terms in -1 - 8 + 9*c**3 + 9.
9*c**3
Collect the terms in 8*q**2 + 4*q**2 - 3*q**2 - 3 - 2.
9*q**2 - 5
Collect the terms in 60 + 20*j**3 - 2*j**3 - 58.
18*j**3 + 2
Collect the terms in -375 - 383 - 2*w + 758.
-2*w
Collect the terms in -j**3 + 0*j**3 + 13*j**3 - 8*j**3 - 5*j**3.
-j**3
Collect the terms in -227*o**2 + 229*o**2 - 3*o + 3*o.
2*o**2
Collect the terms in 1 + 58*s + 0 + 125*s + 1.
183*s + 2
Collect the terms in 23*w - 16*w + 7*w + 6*w.
20*w
Collect the terms in 3*d**3 - 7*d**2 + 7*d**2 - 3*d.
3*d**3 - 3*d
Collect the terms in 32 - 3*f**2 + 2*f**2 - 32.
-f**2
Collect the terms in 9 + 5*u**2 - 9.
5*u**2
Collect the terms in -3*y**3 + 160*y**2 - 160*y**2.
-3*y**3
Collect the terms in -594 + 594 + 2*s.
2*s
Collect the terms in 20*x - 30*x + 8*x.
-2*x
Collect the terms in 3 + 3*d + 1 - 1 - 8.
3*d - 5
Collect the terms in 36*o**2 - 14*o**2 + 5*o - 23*o**2 - o.
-o**2 + 4*o
Collect the terms in -7*w**2 + 6*w**2 - 12*w**2.
-13*w**2
Collect the terms in -14*t**3 + 3*t**3 + 12*t**3 + 2*t**3.
3*t**3
Collect the terms in -2*k**2 + 8*k**3 + 0*k**2 + 2*k**2.
8*k**3
Collect the terms in 33 + z**3 - 33.
z**3
Collect the terms in -4*j**2 - 5*j**2 + 3*j**2 - 4*j**2 + 9*j**2.
-j**2
Collect the terms in -5*u + 2*u - 35*u**3 - 45*u**3.
-80*u**3 - 3*u
Collect the terms in 1113 - 1113 - 7*w.
-7*w
Collect the terms in -624*z + 624*z - 2*z**2.
-2*z**2
Collect the terms in 14*x + 16*x - 30*x - 5*x**2.
-5*x**2
Collect the terms in 32 + 7*y + 2*y - 32.
9*y
Collect the terms in o**3 + 7*o**3 + o**3.
9*o**3
Collect the terms in 4*c**3 - 4*c**3 - 2*c**3 + 201 - 207.
-2*c**3 - 6
Collect the terms in -22*c + 50*c - 16*c - 9*c.
3*c
Collect the terms in 34*z**3 - 6*z**3 - 19*z**3.
9*z**3
Collect the terms in n - 5*n - 6*n + 30*n.
20*n
Collect the terms in -7648*y + 5 + 7651*y - 5.
3*y
Collect the terms in 1 - 5 + 1 + 9*p + 2.
9*p - 1
Collect the terms in -12*i**2 + 12*i**2 + 13*i**2.
13*i**2
Collect the terms in -154*l**3 - 3*l**2 + 10*l**3 + l**2.
-144*l**3 - 2*l**2
Collect the terms in a**3 - 4*a**3 + 6*a**3.
3*a**3
Collect the terms in 239*o - 239*o - 3*o**3 - 1 + 1.
-3*o**3
Collect the terms in 4*l - 3 - 3 + 6.
4*l
Collect the terms in 3 + j - 97 + 7.
j - 87
Collect the terms in 2*a - 7*a**3 + 46*a**3 - 41*a**3 - 2*a.
-2*a**3
Collect the terms in -27*m**2 - 164*m**2 - 27*m**2.
-218*m**2
Collect the terms in -13*y + 4*y - y**3 - 4*y**3.
-5*y**3 - 9*y
Collect the terms in -83*y - 6 - 11*y + 9 - 11*y.
-105*y + 3
Collect the terms in 12*h - 2*h - 7*h.
3*h
Collect the terms in 0*m**3 - 2*m**3 + m**3.
-m**3
Collect the terms in -12310 + 12310 - 2*k.
-2*k
Collect the terms in 12*l**2 - 4*l**2 - 3*l**2.
5*l**2
Collect the terms in 4*y - 2*y**2 + 0*y**2 - 4*y.
-2*y**2
Collect the terms in 732*d**2 - 88*d**2 + 94*d**2.
738*d**2
Collect the terms in 503 - 31*s**3 - 503 + 86*s**3.
55*s**3
Collect the terms in 6896*v - 3450*v - 3449*v.
-3*v
Collect the terms in 4*o**3 - 2*o**3 - 496*o + 243*o + 253*o.
2*o**3
Collect the terms in -m + 7*m + 13*m.
19*m
Collect the terms in 48*z**2 - 3*z**2 - 4*z - z.
45*z**2 - 5*z
Collect the terms in -223*d**3 + 2*d**2 - 2*d**2 + 225*d**3.
2*d**3
Collect the terms in -24 - 16 - 6*k + 40.
-6*k
Collect the terms in -60*s**3 - 34*s**3 + 92*s**3.
-2*s**3
Collect the terms in l**2 - 58989*l + 58989*l.
l**2
Collect the terms in -78*b + 238*b + 201*b.
36
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1. Let k be -1 + (y/21 - -1). What is the biggest value in -5, 0.2, k?
0.2
Suppose -v = -2*v - 2. Let d be v/(-4) - (-18)/(-20). Which is the third biggest value? (a) 4 (b) -5 (c) d
b
Let i = -3 - -5. Let n be -1 + 3 - 1/i. What is the smallest value in -0.4, 4, n?
-0.4
Let d = 0.3 - -1.7. Which is the biggest value? (a) 1/7 (b) d (c) 2/15
b
Let j = 178 - 177. Let x = -0.1 + 0. Which is the third smallest value? (a) j (b) -1 (c) x
a
Let q be (-21)/(-9) + -1 + -2. What is the third smallest value in -5, q, -2/53, -0.2?
-0.2
Let j be (2/(-8))/(66/48). What is the smallest value in -3, j, 1/3?
-3
Let a be 2*(15/9 + -1). What is the third biggest value in -2, 1/5, a?
-2
Let q = -22 - -20. Which is the third smallest value? (a) 9 (b) -3 (c) q
a
Let d = 0.37 + -0.07. Let t = d - 0.3. What is the second biggest value in t, -1/6, -1?
-1/6
Let o = 11 - 11. Let h = 62 + -251/4. Which is the third smallest value? (a) o (b) 1/5 (c) h
b
Let r = -3911/261 + -3300/29. Let s be (-6)/(3*2/129). Let h = s - r. Which is the smallest value? (a) -1/4 (b) h (c) 3
a
Let q = 27 + -23. What is the third smallest value in q, 0, 0.5?
q
Let d = 0.05 + 2.95. Let y = 4.9 + 0.1. What is the second smallest value in d, 0.1, y?
d
Let z = 922/11 + -84. What is the second biggest value in 10/7, z, -1?
z
Suppose 2 - 6 = 4*k. Let h be ((-4)/(-33 - 3))/(-1). What is the second smallest value in h, 5, k?
h
Let w = -7.5 - -12.5. Which is the fourth biggest value? (a) w (b) -3 (c) -2/5 (d) 1/2
b
Let d be 7/2 + -4*5/10. Which is the third biggest value? (a) d (b) -0.2 (c) -3
c
Let f be (-6)/(-15)*5/(-13). What is the second smallest value in f, -5, 4?
f
Suppose 3*y - 4*h + 21 = -3*h, 4*h = 2*y + 24. Let p be ((-4)/3)/(y + 2). Which is the third smallest value? (a) p (b) 0 (c) 1
c
Let n = -217 - -1523/7. Let d = -29 - -29.03. Which is the third biggest value? (a) -3 (b) n (c) d
a
Let x = 0.09 + -0.03. Let p = x - 0.46. Let z = -0.5 - p. Which is the second biggest value? (a) 1 (b) -0.5 (c) z
c
Let v = -7.5 - -8. Let w = 3 - 0. What is the smallest value in -1/6, w, v?
-1/6
Let i = 61 + -61.4. What is the fourth smallest value in 0.03, 3, i, 1/7?
3
Let r = 13 - 19. Let x = r + 4. Let q = -230 + 1614/7. Which is the third smallest value? (a) x (b) q (c) 1
c
Suppose 4*p + p = -4*g + 27, 4*p = -4*g + 24. Let d be (p - -1) + (2 - 4). Let m be -2 + ((-45)/(-12) - d). What is the second biggest value in -4, -1/9, m?
m
Suppose 0*h + 3*h + 36 = 0. Let s be 1/(-2)*h*1. Let q be (-6)/9*s/4. Which is the second biggest value? (a) q (b) -0.5 (c) 0.2
b
Let f be 0 + -1 + (-42)/(-38). Let j = 37/2 - 18. Let g be (-2)/(-5) + 36/(-15). What is the third smallest value in g, j, f?
j
Let g = -8 + 11. Let q = 4 - g. Which is the second biggest value? (a) -3 (b) q (c) 0.3
c
Let m = -1.3 - -1. Let s = -0.1 - -0.1. Let r = s + 0.1. Which is the second biggest value? (a) -0.5 (b) m (c) r
b
Let u(w) = -w + 2. Suppose 6 = -2*g - x, -5*g + x - 25 = 6*x. Let d be u(g). Let n = 1 + -1. Which is the smallest value? (a) d (b) -5 (c) n
b
Let u = -0.5 - -0.1. Let m = 0.1 - 0.2. Which is the smallest value? (a) m (b) u (c) 1
b
Suppose 0 = 4*x - 3*x + 4. What is the third biggest value in x, 0.5, 1?
x
Let s = 1 + -1.1. Let i(d) = 30*d. Let x be i(-1). Let z = -33 - x. Which is the smallest value? (a) z (b) s (c) -4/3
a
Suppose -5*g - 13 = -d, 6*g = 2*g - d - 14. Let f be 185/225 + g/5. Which is the third biggest value? (a) f (b) 0.4 (c) -4
c
Let t(s) = s + 7. Let h be t(-10). Let x = 41 - 37. What is the third smallest value in x, h, 0.4?
x
Let w = -222/11 + 921/44. Let f = 184/21 + -62/7. Which is the second smallest value? (a) 4 (b) f (c) w
c
Let m = 3.1 - 3. Let r = -0.7 + -0.3. Let n = 1 + r. What is the biggest value in n, -1, m?
m
Let k = -2.8 - 0.2. Which is the second biggest value? (a) 1/3 (b) 1 (c) k
a
Let k = -34 - -44. What is the second smallest value in k, 0.3, -0.3?
0.3
Let w = -0.3 - -12.3. Which is the third biggest value? (a) 0.1 (b) w (c) -1
c
Let h = -4 - 4. Let r = h + 9. Which is the biggest value? (a) 0.1 (b) r (c) 5
c
Let s = 0.04 + -0.24. Let p = 1.4 + -0.7. Let t = p + s. What is the second smallest value in t, 3/5, 0?
t
Let p be 3 - -1 - 2*-1. Let c be ((-1)/p)/((-6)/12). What is the third smallest value in c, -1/2, 1/2?
1/2
Let h = -1.2 + 1. Let t = 2.5 - -0.5. Let k = 0 + t. Which is the smallest value? (a) k (b) h (c) -0.5
c
Let f = 0.13 + -4.13. Which is the smallest value? (a) f (b) 0.3 (c) 0
a
Let n be ((8/(-7))/(-2))/(16/56). Which is the third smallest value? (a) -3 (b) n (c) 7 (d) -2/5
b
Let s = -7.3 + 7. Let w = -1.6 - -1.7. Which is the second smallest value? (a) w (b) 1 (c) s
a
Let d = 0.7 - 0.6. Let v = 0.4 - d. Which is the third smallest value? (a) 3 (b) v (c) -1
a
Let m(w) = w**3 + 2*w**2 - 3*w - 2. Let g be m(-3). Let z = -0.06 - -0.12. Let f = z + 0.14. Which is the second biggest value? (a) g (b) f (c) -1/6
c
Let v = -9 + 11.5. Let l = -3 + v. Let b = -3.1 + 2.9. What is the second biggest value in 3, b, l?
b
Let o be 4 + -3 + (-40)/36. Which is the smallest value? (a) 5 (b) 0 (c) o
c
Let t(h) = 2*h**2 + h + 1. Let r be t(-1). Which is the smallest value? (a) 1/4 (b) r (c) 4
a
Let r = -2/143 + -566/429. Let z = 2.2 + -2. Which is the biggest value? (a) r (b) z (c) -1/6
b
Let l = 0.1 - 0.1. Let i = 21 - 20. Let v be (i + 2 - 4)*4. What is the smallest value in -0.2, v, l?
v
Let q = -0.01 + 3.01. Let o = -4 + q. Let r be 4*(2 - (-13)/(-6)). Which is the biggest value? (a) r (b) 0.1 (c) o
b
Let d = 0.35 - 0.05. Let y = -0.2 - d. Let b = -0.2 + -0.1. What is the smallest value in -2, y, b?
-2
Let s be (-4)/28*727 + 2. Let q = 102 + s. Which is the biggest value? (a) q (b) 0.2 (c) -2
b
Let q = -0.1 + 0.3. Let m be -3 + (-573)/(-9)*1. Let t = m + -62. What is the third biggest value in q, 4, t?
t
Let s = -10 + 11.6. Let w = 1.5 - s. What is the biggest value in 3, w, 0?
3
Let p = -46 - -91/2. Suppose 4*d + 8 = 4*m, 0*m - 13 = 4*d + m. Which is the second biggest value? (a) 2 (b) p (c) d
b
Let s be -2 - (1 + (-39)/15). Which is the smallest value? (a) 0.5 (b) -0.5 (c) s
b
Let x = 2 - 3. Let v = 16 - 21. What is the third biggest value in 4, x, v?
v
Let g = 4.9 + -5. Which is the third smallest value? (a) -1 (b) 0.5 (c) g
b
Suppose d - 6*d - p - 2 = 0, -3*d - 2 = p. What is the second smallest value in 5, -0.7, d?
d
Suppose -5 = -5*i + 3*o, -5*i + 6 - 1 = -o. Which is the second smallest value? (a) 2 (b) i (c) 0.5
b
Let p = 1.2 + -1.4. Let i = p - 0.3. Which is the biggest value? (a) 6/5 (b) 5 (c) i
b
Let m = -18.94 - -19. What is the second biggest value in -0.4, 3, m, -2?
m
Let s be 2/3 - 14/(-6). Suppose -4*r = -t - 14, -1 = -2*r - 4*t - s. Suppose -4*z + r = -z. Which is the second smallest value? (a) z (b) -2 (c) 1/2
c
Let w = -8 - -8.5. Which is the second biggest value? (a) -0.2 (b) 1/3 (c) w
b
Let z = -23 + 12. Which is the third smallest value? (a) z (b) 1 (c) 3
c
Let h be (-8)/(-2 - (2 - 2)). What is the second smallest value in -2, h, -1?
-1
Let m be ((-1)/1)/(9 - -2). What is the third biggest value in m, 2, -0.4?
-0.4
Suppose -8 = -3*o + 4. Let g = 0.6 + -4.6. Which is the second smallest value? (a) o (b) -1 (c) g
b
Let z = 2/35 - 23/35. What is the smallest value in z, -2, -6?
-6
Let d = -8 + 13. Let i = -1.94 - 0.06. Let s = i + 5. Which is the biggest value? (a) 0.4 (b) s (c) d
c
Let j(o) = o**2 - 4*o + 5. Let s be j(4). Let i be 15/9 - (-2)/6. Which is the smallest value? (a) s (b) 5/2 (c) i
c
Let u(l) = l**3 - 18*l**2 - 21*l + 22. Let r be u(19). Which is the biggest value? (a) 3 (b) -5 (c) -1 (d) r
a
Let j = -0.191 - -0.591. Which is the smallest value? (a) 9 (b) -1/6 (c) j
b
Suppose -2*m = -4 - 2. What is the second biggest value in 0, -1/4, m?
0
Let z be ((-2)/6)/((-7)/567). Let k be 3/4*8/z. Which is the third biggest value? (a) 1/6 (b) k (c) -0.4
c
Let c = 33 + -33.2. What is the second biggest value in -3, c, -1?
-1
Let h = -1.2 + 1.4. Suppose u - 4 = 3*u. Which is the second smallest value? (a) h (b) u (c) 0
c
Let o be (-34)/4 + 33/22. What is the second biggest value in o, -0.5, -0.2?
-0.5
Let j = 29 - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
9))**(-12) assuming l is positive.
l**(64/165)
Simplify ((x**(-17/5))**(-36)*(x**(-30))**18)**(8/15) assuming x is positive.
x**(-5568/25)
Simplify (((h**(2/5)/h)/h)/((h/(h*h**(-2))*h)/h))**(-49)/(h**(-1)*h/((((h**(-1/6)/h)/h)/h)/h))**(-34) assuming h is positive.
h**(4771/15)
Simplify ((((d**(-24)*d)/(d/(d**3/d*d)))**(3/2))**37)**(-3/43) assuming d is positive.
d**(6993/86)
Simplify (u**11*u**(1/2)*(u*u*(u/(u*u**(4/11)))/u*u)/u**9)**29 assuming u is positive.
u**(2639/22)
Simplify ((b**(-19))**(-26)*b**(-1/18)/(b/(b/(b*b*b**(-28)*b))))**(-50) assuming b is positive.
b**(-233525/9)
Simplify (a**(4/7)/a**(3/7)*(a**5*a)/(a*a*a**(2/3)))/((a/(a/((a**(-2/5)*a)/a)))**(5/3)*(a/(a/(a*a**(4/11))))/((a/(a/(a/(a*a*a**4))))/a)) assuming a is positive.
a**(-248/77)
Simplify (((l**4*l)/(l**3*l))/((l**5/l)/(l*l/l**(-3)*l)))/(((l*l**(-1))/l)**(-16)/(l**1)**(-19/3)) assuming l is positive.
l**(-58/3)
Simplify ((o*o**(-2))/o)**25/(o**(2/5))**28*((o/o**(-1/4))/(o/o**15))**(11/5) assuming o is positive.
o**(-553/20)
Simplify ((x*x**(-4))/(x*x**(-5/4)))/(x**(-27)*x*x**(-1/31)) assuming x is positive.
x**(2887/124)
Simplify (x**11*x*x**(-5/3)*x*x*x**(-1/8)*x**(-2/9)/x*x)**(1/16) assuming x is positive.
x**(863/1152)
Simplify ((t**1)**(2/69)/((t/(t/(t/((t*t**(-2/15)*t)/t))*t)*t)/(t/((t**(-2/13)/t)/t*t))))**(-27) assuming t is positive.
t**(-82728/1495)
Simplify ((n*n**(-2/3)*n)**(-2/137))**15*((((n*n**(-1/9))/n)/n)/(n**(-3/7)*n*n))**(10/9) assuming n is positive.
n**(-254210/77679)
Simplify (v/(v**(1/4)/v*v*v))**(-2/9)/(((v/(v**1*v))/v)/(v*v**(2/15)*v))*((v/v**(2/7)*v)**(-9/2))**45 assuming v is positive.
v**(-216061/630)
Simplify ((w*w*w*w**(2/7))**(-21)/(w/((w/((w/w**(-2/5))/w))/w*w)*w*w**(-2/7)))/(w*w*w**9/w*w*w*w/w**(1/2))**22 assuming w is positive.
w**(-12079/35)
Simplify (t*t/t**(3/8)*t*t**(-1/3)*(t*t**(1/2))/(t**(-8)*t*t))/((t**(-2/3))**37/(t**(1/2)*t**(1/10))) assuming t is positive.
t**(4207/120)
Simplify r/(r/r**(-45))*r/(r**11/r)*((r/(r**(1/8)/r*r))/r)/(r*(r/((r*r**5)/r))/r) assuming r is positive.
r**(-401/8)
Simplify (s**(1/35)*s)/s*s/(s*s**(25/6))*s**(-3)/(s/(((s/(s*s**(2/103)))/s)/s*s)*s*s*s) assuming s is positive.
s**(-262967/21630)
Simplify (((y*y**(-7/3))/(y**(-11/3)/y))/(y/(y**(-2/15)/y)*y*y**2))**(-19/6) assuming y is positive.
y**(57/10)
Simplify (h**(-1/3)*h**(4/7)*(h*h**(-1)*h*h)**(-32))/((h*h*h**(1/3)*h)/(h*h**(-3/4)))**(-1/6) assuming h is positive.
h**(-31877/504)
Simplify j*j**(-7)*j**(1/10)*j**(1/2)*j**(-7)*((j**(4/3)/j)/j**(-9))**(3/5) assuming j is positive.
j**(-34/5)
Simplify ((o*o*((o/o**(-2/11))/o)/o)/o**(2/5)*(o*o**(-2/5))/o**0)/((o*o**1)**(2/43)*(o**(-2/3)*o)**(-5)) assuming o is positive.
o**(20969/7095)
Simplify ((o/((o/((o**(3/5)*o)/o)*o)/o))**(2/19))**(-15/7)*((o**(2/5))**(-27))**(2/61) assuming o is positive.
o**(-19854/40565)
Simplify (w**(-3)/w*w*w*w*w**(-10))**(1/6)/((w**0)**(32/5)/((w/(w/(w/((w/w**2*w)/w)*w)))/(w/(w*w**(-2/13))))) assuming w is positive.
w**(79/78)
Simplify ((y/(y*y**(2/3))*y)**(42/13))**(11/4)*(y/(y**(-1)/y))**(-10)*y**(-6/11)/((y*y**(-3/8)*y)/y) assuming y is positive.
y**(-32271/1144)
Simplify (s**2*s**(-2/15))**(-32)*((s**1)**(18/11))**(-5/14) assuming s is positive.
s**(-69667/1155)
Simplify ((w/((w*(w**(-10)*w)/w)/w))**(-2/69)/(w**12/w**20))**(-47) assuming w is positive.
w**(-24910/69)
Simplify (n**(1/8)*n/(n/n**(3/5))*n)/((n*(n**(-1/6)*n)/n*n)/n*n*n**4)*(n**(2/3)*n*n*n/(n/n**4)*n)**34 assuming n is positive.
n**(30787/120)
Simplify (((b**1)**(2/7)*(b/(b**3*b))/(b*b**6))**39)**28 assuming b is positive.
b**(-10608)
Simplify (((m*m**2)/m)/(m*m**(-6)*m*m))**(-33)*((m**5/m)/(m/((m/m**(-2/9))/m)))/(m**(-1/2))**(-2/31) assuming m is positive.
m**(-45145/279)
Simplify (f*f/((f*(f/((f**(-5)/f*f)/f))/f)/f)*f*(f**(-5)*f)/f*f)/(f**(2/3))**(4/23)*((f*f**(-6)*f*f)/(f*f*f**(-6)))/(f*f**(1/5))**47 assuming f is positive.
f**(-21568/345)
Simplify a**(1/4)*a*a*a**6*a*a**(-6/7)*a*a**4*(a/((a*a*a**(1/6))/a*a*a))/a**(5/3)*(a*a/a**(-3)*a)/((a**2/a)/a) assuming a is positive.
a**(1307/84)
Simplify (((h/(h*h*h**28*h))/(h*h**(2/5)*h))/((h**27/h*h)/(h**(-14)*h)))**34 assuming h is positive.
h**(-12308/5)
Simplify ((((k*k**(2/9)*k)/k*k)**(-8)/(k*k**0/k*k)**(17/5))**(4/5))**(-4) assuming k is positive.
k**(15248/225)
Simplify (((y**(-38)*y)**25)**48)**(-2/25) assuming y is positive.
y**3552
Simplify ((g/((g/g**0*g)/g))**(-48)/((g/(g*g**(1/12)*g))/g*g*g/(g*g**8)))/(((g*g**1)/(g*g**(-5)))/((g*(((g/g**(-6))/g)/g)/g)/g**(-1/6))) assuming g is positive.
g**(33/4)
Simplify (v**(-2)*v**(2/7)*(v**(1/3))**(-2/21))/((v**(2/3)/v*v)**(8/3)*((v*v**(-3/4))/v*v)/((v/(v*v**(-4)*v))/v*v)) assuming v is positive.
v**(-65/84)
Simplify ((q**10*q)/(q*(q/((q**(11/6)*q*q)/q)*q*q*q)/q*q)*(q**(-8/7))**38)**(1/10) assuming q is positive.
q**(-1453/420)
Simplify (((h**13)**(-2))**(-18/5))**(-35) assuming h is positive.
h**(-3276)
Simplify ((k**(-1/3)/k*k*k/((k/(k/(k*k/k**13))*k)/k))/(k**(-3/7)/(k**(1/2)/k)))**6 assuming k is positive.
k**(487/7)
Simplify ((y*y*y**(1/2))**(-41)*(y**(-2))**(-2/9))/((y/(y*y/y**1*y*y)*y)/(y**(-2)/y*y)*((y*y**(-2/5))/y)**(2/65)) assuming y is positive.
y**(-602803/5850)
Simplify (((n*(n**(-6/7)*n)/n)/n*n**(-7/6))**(-10/9))**(-2/161) assuming n is positive.
n**(-850/30429)
Simplify (((i*i*i**(-7)*i*i**(-4/7))**45)**(-2/11))**(-3/8) assuming i is positive.
i**(-1080/77)
Simplify (((p**(-3)*p)/p**(-6)*p**4/((p*p**(-2/9))/p))**(21/8))**(-26) assuming p is positive.
p**(-3367/6)
Simplify (t**9/(t*t**(-1/7)/t)*(t*t**(-2/13))/t*t**(1/3)*t*t)/((t/(((t**(-4)/t)/t)/t)*t/t**(-8))/(t**(2/7)*t*t)**16) assuming t is positive.
t**(8434/273)
Simplify ((y**20)**7/((y/(y**(-7/3)/y))/y**(-43)))**(-29) assuming y is positive.
y**(-8062/3)
Simplify ((h*h*h**(-1)*h*h*h)**(-4)/((h/h**(-31)*h)/(h*h**(-2/13)*h)))**20 assuming h is positive.
h**(-12260/13)
Simplify ((q**4*q)**(25/2)*((q*q**(-4))/q)**(-2/63))**(-2/41) assuming q is positive.
q**(-7891/2583)
Simplify (r**(-3/11)/(r/r**(1/4)*r))**9/(((r**(-2/13)*r)/r*r**4)/(r*r**1*r*r*r*r/((r**(-4)/r)/r))) assuming r is positive.
r**(-5749/572)
Simplify (a**(-2/9)*a**(2/15))**(-2/9)*((a**(3/5))**(-27))**(-9) assuming a is positive.
a**(59057/405)
Simplify ((d*d**(-2/9)*d*d**(2/19))/(d**(-2/13)*d**4/d))**33 assuming d is positive.
d**(-23551/741)
Simplify ((g*g**4)/(g/g**(-6)*g))/((g**6*g*g)/g*g*(g**4*g*g)/g*g*g*g)*((g**6*g)/(g*g**(-1/5)))**(12/5) assuming g is positive.
g**(-103/25)
Simplify (s**(2/29)*s)**8/(s/(s/s**(-1/10))*s*s**(-2/25)/s*s) assuming s is positive.
s**(11211/1450)
Simplify (z/((z/z**17)/z*z))**16*(z*(z**(-26)/z)/z)**(-17) assuming z is positive.
z**731
Simplify ((r*r*r/(r*r**4/r*r))/r*r*r**(4/7))**27*((r**3/r)**(-7/12))**(-12) assuming r is positive.
r**(-172/7)
Simplify (k*k/(k/((k/k**(-9/4))/k*k))*k**(-6/19)/k*k*k**19/(k/k**(-3/4)))**29 assuming k is positive.
k**(23345/38)
Simplify (r*(r**(-20)/r*r)/r*r**(-35)*r**(-6)/r*r**(-27))**(-41) assuming r is positive.
r**3649
Simplify ((y**(6/5)/(y/y**(-14/9)*y))/(y*y**(-4)*y**(2/77)/y))**(3/2) assuming y is positive.
y**(2804/1155)
Simplify ((o**1*o)/o**(-1))**(13/3)/((o**(-1/3))**(3/2)*o**(2/23)/(o/(o/((o*o**6/o)/o)))) assuming o is positive.
o**(847/46)
Simplify ((h**(4/7))**(-35)*(h/(h**12*h))/(h**(3/10)/h))**28 assuming h is positive.
h**(-4382/5)
Simplify ((d/(d**(-8)/d))**(3/38)/(d**34*d**(-42)))**(2/21) assuming d is positive.
d**(334/399)
Simplify j**27/(j/(j**(-42)/j))*((j**(18/7)/j*j)/j)/(j**(3/10)/j*j) assuming j is positive.
j**(-1101/70)
Simplify (o**(-10/7))**(-12)/((o/(o*o*o**(-8)))/(o*o*(o*o**(-8/3)*o)/o*o)) assuming o is positive.
o**(241/21)
Simplify (((n**0)**24/(n/n**2)**(-35))**(-9/11))**(-11/5) assuming n is positive.
n**(-63)
Simplify (((((h*h**(-3))/h)/(h*h*(h*h**(2/7))/h))**(-3))**(-28))**26 assuming h is positive.
h**(-11544)
Simplify ((n*n**6)**(1/24)/((n*n**4/n*n)/n)**(-26))**(2/3) assuming n is positive.
n**(2503/36)
Simplify (((p*p/(p**(4/17)*p)*p**(-1/3))**(-18))**(9/2))**16 assuming p is positive.
p**(-9504/17)
Simplify (x**12)**(-26)*x**(-41)*x*x**(-25)/x assuming x is positive.
x**(-378)
Simplify (k**(2/87)/(k*k*k**(-1/7))*(k*k**10*k*k)**(-32))**(4/27) assuming k is positive.
k**(-1017844/16443)
Simplify ((u**(-10)/(u*u*u*(u/(u*u**5))/u*u))/(u**(-1/13))**(6/5))**(2/67) assuming u is positive.
u*
|
{
"pile_set_name": "DM Mathematics"
}
|
s) = -s**3 - 3*s**2 + 4*s + 4. Determine u(n).
4
Suppose 25*w - 21*w = 0. Let h(m) be the second derivative of 1/6*m**3 + m + w - 5*m**2. Calculate h(0).
-10
Let j(y) = -7*y**2 - 2*y + 1. Let g be (-5 - (-1 + -2))/(-2). Give j(g).
-8
Let z(c) = 7*c**2 - 4*c - 14. Let g(j) = -j**2 + 1. Suppose 0 + 3 = 3*n. Let v(u) = n*z(u) + 6*g(u). Determine v(6).
4
Let y = 15 - 11. Let v(r) = 195*r + 1 - 194*r + 0. Give v(y).
5
Suppose -4*p + 1 = -23. Let o(u) = -u**2 + 5*u + 7. Let r be o(p). Let n(t) = t**3 - t**2. Give n(r).
0
Let l(z) = z + 5. Let m(c) = -3*c - 10. Let y(t) = 7*l(t) + 3*m(t). Let a(g) = -3*g + 11. Let q(f) = 4*a(f) - 9*y(f). Determine q(2).
11
Let v(t) = -t**2 - 4*t + 5. Let s(z) = -z**2 - 7*z + 6. Let f be s(-7). Let u be (-1)/(-1) - f/(-2). Suppose -u*m - 4 = -0, -2*m + 8 = -2*j. Calculate v(j).
0
Let m(q) = -q - 8. Let x = -17 + 10. Calculate m(x).
-1
Let m(j) = -6*j - 1. Let k(i) = i**3 - 5*i**2 - 8*i + 6. Let q be k(6). Let w(f) = 6*f + 1 + 0 + 1 + f. Let h(a) = q*m(a) - 5*w(a). Determine h(0).
-4
Let h(a) = a**3 - 2*a**2 - 2*a - 1. Let v be (5 - -1)*8/3. Let i = v - -5. Let f be (-46)/(-14) - 6/i. Give h(f).
2
Let j(a) be the third derivative of a**5/60 + 5*a**4/24 + 7*a**3/6 + 6*a**2. Let m(d) = d + 1. Let z be m(-6). Calculate j(z).
7
Let r(k) = -k**2 - 1. Suppose 6 = -3*a + 15. Let o = a - 2. Let y(w) = -2*w**2 - 3. Let u(c) = o*y(c) - r(c). What is u(-2)?
-6
Let h(p) be the third derivative of -p**5/60 - 5*p**4/24 - 4*p**3/3 - 15*p**2. What is h(-6)?
-14
Let t(a) be the second derivative of -a**7/2520 - a**6/120 - a**5/120 + 2*a**4/3 + 4*a. Let z(u) be the third derivative of t(u). Determine z(-5).
4
Suppose 4*f = 2*f + 8. Let p(k) be the third derivative of 2*k**2 + 0 - 1/24*k**f + 1/6*k**3 + 0*k. What is p(0)?
1
Suppose -4 = -2*l, 0 = -0*p + 2*p - 4*l - 18. Let m = 7 - p. Let k(r) = -r**2 - 5*r + 1. Calculate k(m).
-5
Let w(y) = 9*y**2 - 8*y + 6. Let z(c) = 4*c**2 - 4*c + 3. Let g(n) = -3*w(n) + 7*z(n). Let j(h) = h**2 - 2*h**2 - 1 - 4 - 9*h. Let k be j(-8). Calculate g(k).
0
Let x(c) = -c**2 - 7*c - 1. Let b be x(-6). Let z(l) be the third derivative of 1/120*l**6 + 5*l**2 - 1/10*l**5 + 0 + 1/6*l**3 + 5/24*l**4 + 0*l. What is z(b)?
1
Let i(r) = -r**3 - 11*r**2 - 10*r - 2. Let v be i(-10). Let a(s) = -s. Let l(m) = -2*m + 1. Let w(p) = 2*a(p) - 2*l(p). Calculate w(v).
-6
Let d(k) = k**2 + k + 3. Suppose -5*p + 5*i = 20, -3*p - 3*i - 5 = 7. Let m(l) = 1. Let u(o) = p*m(o) + d(o). Calculate u(-3).
5
Suppose 0 = -4*d - 5*v + 21, -4*v = 2*d - 7 - 11. Let m(u) = 20*u**3 + 2*u**2 + 2*u + 1. What is m(d)?
-19
Let g = 1 - 4. Let d(f) be the second derivative of f**3/3 - f**2/2 + 21*f. Calculate d(g).
-7
Let m(i) = -i**3 + 1. Let y be m(0). Let g(n) = -n**2 - n. Give g(y).
-2
Let c(g) = 3*g + 3. Let j be c(-2). Let i(v) = 7*v. Let m(q) = q**2 - 17*q + 21. Let u be m(16). Let z(s) = 8*s - 1. Let k(t) = u*i(t) - 4*z(t). What is k(j)?
-5
Let j be (-1)/(3 + (-30)/9). Let b(u) = 0 + j*u + u - 2 - 2*u. Calculate b(4).
6
Let k(c) be the second derivative of -1/60*c**5 + 1/8*c**4 + 0 + 3/2*c**2 + c**3 + c. Let x(d) be the first derivative of k(d). What is x(5)?
-4
Let s(d) = -d**2 - 3*d - 2. Let c(u) = u**3 + 9*u**2 + 8*u - 4. Let q be c(-8). Calculate s(q).
-6
Let u(d) = -1 + 2 - 89*d + 86*d. Give u(-1).
4
Let r(b) = b**3 - 4*b**2 + b - 2. Suppose -11 = 3*o - 4*s, 5*s = -o + 5 + 23. Give r(o).
-8
Suppose -2*v - v = 0. Let p(o) = -o + 10. What is p(v)?
10
Let b(n) = 2*n + 1. Let s(g) = -7*g + g**3 - g - 6*g**2 + 0*g + 4. Let a be s(7). Give b(a).
-5
Let t(j) = 3*j + j - 5 - 4*j - j**3 + 6*j**2. Let m(x) = -2*x**3 + 3*x - 11 - 4*x + 10*x**2 + 3*x**2. Let g(l) = -3*m(l) + 7*t(l). Calculate g(4).
-6
Suppose 2*c = -v - 2, 2*c = 2 - 6. Let y(u) = -u**2 + 2 + 0 - u + 2*u**v. Let b = -1 + 1. Give y(b).
2
Let o(t) be the second derivative of -t**4/12 - t**3/6 - 5*t**2/2 - 23*t. Give o(-4).
-17
Let i = 5 + -2. Let j(z) be the second derivative of -z**7/2520 + z**6/180 - z**5/60 - z**4/12 - 2*z. Let s(k) be the third derivative of j(k). Calculate s(i).
1
Let m(j) = -j - 3. Let h = -18 - -12. Determine m(h).
3
Suppose 0 = p + 3*d + 3, 0 = -5*p + 4*d + 22 + 1. Suppose -10 = -3*v + p*z - 1, -2*v - 3*z = -21. Let g(y) = -y**2 + 7*y - 5. What is g(v)?
1
Suppose 0 = -6*b + 2*b + 8. Let w(d) = -2*d**b - 2 + 3 - 2*d**3 + d**3 + 5*d - 3. Determine w(-4).
10
Suppose -3*f + 4*m = -6*f + 15, -4*f + m + 1 = 0. Let b(g) = -4*g - 2. Let n be b(-2). Let q(a) = f + a - n + a. Give q(4).
3
Let g(v) = 0 + v - 2 + 1. Let u be g(6). Let y(t) = -2*t**2 + 6*t - 1. Let z(f) = -f**2 + 3*f - 1. Let l(x) = -3*y(x) + 5*z(x). Calculate l(u).
8
Suppose w = 2*w. Suppose 2*u - 3*i = -4*i - 7, 4*u + 5*i + 29 = w. Let a(j) = -10*j**3 + j**2 - 1. Give a(u).
10
Let s = 9 - 4. Let v(z) = -s*z + 3 + 4*z + z - z. Calculate v(3).
0
Let m(y) = -y**3 - 31*y**2 + 3. Let f be m(-31). Let u(w) = -w. Determine u(f).
-3
Let j(l) be the second derivative of 5/6*l**3 + 0 + 1/20*l**5 - 1/3*l**4 - 7*l - 3/2*l**2. What is j(3)?
3
Let y(a) = a**2 - 3*a - 1. Suppose -5*l = -5*u + 30, -4*u = -8*u - 5*l - 3. Suppose -u*k = 5*i - 4*i - 19, 2*k = -4*i + 26. What is y(i)?
3
Let u = -8 - -12. Let a be u/(-6) - (-1)/(-3). Let z be ((-4)/10)/(a/(-5)). Let n(w) = -2*w**3 - 3*w**2 - w - 1. Calculate n(z).
5
Let b(l) be the third derivative of l**6/120 - l**5/60 - l**4/12 - l**3/6 - 12*l**2. Give b(2).
-1
Let k(d) = -5*d. Let l be k(-1). Suppose 2*w + 2*s = w + 24, 5*w - 45 = 5*s. Suppose -w = 4*g - 5*v, -3 + l = v. Let m(z) = 3*z**2 + z + 1. Give m(g).
3
Let s(c) = -c**3 + c**2 + c + 3. Let l be (-1 + -1)/(4/(-6)). Calculate s(l).
-12
Let t be 2 - (-1)/(1/(-2)). Let u be (-6)/(-4) - 2/(-4). Let s(n) = -n**2 - 2 + 5 + u. What is s(t)?
5
Let f(c) = -1 + 0*c**2 - 5*c - c**2 - 2*c. Let m be (9 - 0)/((-33)/22). Determine f(m).
5
Let c(q) be the third derivative of -q**5/60 + q**4/8 - q**3/3 + 7*q**2. What is c(4)?
-6
Let b(t) = -t**2 + 8*t - 7. Let x(k) = -2*k**2 + 9*k - 7. Let a(w) = 3*b(w) - 2*x(w). Determine a(-6).
-7
Let d(m) = -3*m + 6. Let o(z) = -1. Let r(v) = 4. Let j = -6 - -7. Let a(s) = j*r(s) + 5*o(s). Let i(x) = 9*a(x) + d(x). Determine i(-2).
3
Let d(o) = -2*o**3 - 2*o**2 + 2*o - 1. Suppose -f - x + 4*x = -4, 0 = -4*f - 4*x. Determine d(f).
-3
Let z(l) be the second derivative of -l**5/20 - l**4/2 + 4*l**3/3 + 4*l**2 + 16*l. Determine z(-7).
1
Let i(y) = -11*y + 11*y + y**2 + y**3 + 9. Determine i(0).
9
Let t(y) = -y**3 - y**2 + y - 2. Suppose -4*r + 3 = -l, -4*r + 1 + 5 = 2*l. Suppose -l - 1 = -2*o. Let d be 1 + o/((-2)/6). Determine t(d).
0
Let c(f) be the third derivative of -1/24*f**4 + 0*f + 5*f**2 + 0 + f**3. What is c(6)?
0
Let s(m) = -3 - m**2 - 3*m + 2 + 8*m. Let a = -2 - 1. Let w = 2 - a. Give s(w).
-1
Suppose 4*s = -2*x, 0 = -2*x - 3*x - 5*s. Let d be 2/(-4)*(-4 - 2). Let b(i) = i - 3 + d + 2. Calculate b(x).
2
Let r(a) = 4 - 2 + 1 + 0 - a**3 - 7*a**2 - 5*a. Let g be r(-6). Let h = g - -5. Let k(j) = 2*j**2 - j + 1. Give k(h).
7
Let o(v) = 4*v - 12. Let l(b) = 3*b - 13. Let h(a) = 3*l(a) - 2*o(a). What is h(12)?
-3
Let j(i) be the first derivative of i + 1/3*i**3 - 5 + 2*i**2. What is j(-3)?
-2
Let j(k) = 4*k - 1. Let y be 12/(-4) - -1*6. Suppose 0 = -2*z + y - 1. Give j(z).
3
Let w(j) = 8 - 2*j + 7 - 7 + 3*j. Determine w(0).
8
Let i(p) = -p**3 + 4*p**2 + 4*p + 10. Let o be i(5). Suppose -5*c + 0*d - 4 = -d, -o = 4*c + d. Let u(r) = -4*r**2. Give u(c).
-4
Suppose 4*t + 34 = 5*v - 0*v, -t = 3*v. Let h(r) = 4*r - 1. Let i(y) = 5*y - 1. Let p(g) = -4*h(g) + 3*i(g). Determine p(t).
7
Let l(c) = -c + 11 - 2 + 0. Let u(h) = -2*h - 4. Let j be u(-3). Suppose 0 = j*s - w - 9, 5*w = 2*s + 3. Calculate l(s).
3
Let j(m) be the second derivative of m**3 - 3*m**2/2 + 30*m. Determine j(3).
15
Let z(q) = -q**2 + 4*q + 7. Let b be z(5). Let j(s) = -4*s**2 + 4*s - 2. What is j(b)?
-10
Let q(b) = 30 - 94*b + b**2 + 101*b - 30. Suppose -2*c - 7 = 5. Determine q(c).
-6
Let v(m) = -1 + 4*m**3 + 4*m**2 - 5*m + 2*m**3 + 0*m**3 - 5*m**3. Let s(z) = z**2 + 6*z - 5. Let j be s(-6). What is v(j)?
-1
Suppose v - 8 = -v. Suppose -n + v = 3*n. Let w be n + 7 - (-6)/(-3). Let f(c) = -c + 8. Calculate f(w).
2
Let r(v) = 2*v**3 - 11*v**2 - v - 1. Let n(o) = -o**3 + 5*o**2 + o + 1. Let g(x) = 5*n(x) + 2*r(x). Let p = 10 + -
|
{
"pile_set_name": "DM Mathematics"
}
|
k - 12. Let c(s) = -5*s**2 - 7*s + 14. Let n(w) = -5*c(w) - 6*g(w). Calculate n(5).
-8
Let d(u) = -u**2 + 2. Let m be d(-3). Suppose -k - 4 = 6. Let b = m - k. Let z(o) = -o**2 + 5*o - 2. Calculate z(b).
4
Let p be 2 - (-6 - 2 - -2). Let n(l) = -7*l**3 - 5*l**2 - 5*l - 7. Let t(v) = -11*v**3 - 8*v**2 - 8*v - 11. Let s(x) = p*n(x) - 5*t(x). Determine s(-1).
0
Let u(m) = -34*m - 33. Let g(h) = 7*h + 6. Let o(c) = -11*g(c) - 2*u(c). What is o(1)?
-9
Let u = 7 + -5. Let q(c) = -3*c**3 + 8*c**2 - 2*c. Let y(a) = -10*a**3 + 27*a**2 - 6*a - 1. Let v(o) = 7*q(o) - 2*y(o). What is v(u)?
-2
Let q(r) = r - 3. Let a = -61 - -114. Let d = a - 48. What is q(d)?
2
Let b(m) = 3 - 2*m + 12*m - 1 - 5. Suppose 5*t = -3*u + 16, t - 7*u + 8 = -2*u. What is b(t)?
17
Let h(g) = -5*g + 2. Let f(a) = -4*a + 1. Let s(i) = -6*f(i) + 5*h(i). Let u = 29 - 11. Let k be (-3)/6 - u/(-4). What is s(k)?
0
Suppose -5 = 6*p - 5*p. Let y(m) = 375 + 6*m + 0*m**2 + m**3 - 372 + 6*m**2. What is y(p)?
-2
Let j(a) = 9*a + 61. Let g be j(-7). Let b(l) = -3*l - 3. Give b(g).
3
Suppose 127*f + 40 = 131*f. Let w(g) = 2*g**2 - 20*g - 5. What is w(f)?
-5
Let f(r) = -31 + 89 - 25 + 4*r - 31. What is f(-1)?
-2
Suppose -3*p + 861 = 5*y, y - 2*p = 3*p + 189. Suppose 0 = -6*d + y - 6. Let o = -31 + d. Let a(f) = -3*f**2 - 3*f + 2. Calculate a(o).
-16
Let p(w) = -w + 14. Let u be 170/2*(-2)/(-5). Suppose u = -0*r - 3*r + 4*l, 4*l = 5*r + 46. Let x be r/8 - 135/(-20). Determine p(x).
8
Let m be 3/((-30)/4)*-15. Let y(o) be the first derivative of 3*o**2/2 - 5*o + 10. Determine y(m).
13
Let k(i) = i**2 + 7*i + 1. Let d = 25 - 28. Let r(f) = f**2 + 7*f. Let u be ((-1)/2)/((-3)/12). Let c(m) = d*k(m) + u*r(m). What is c(-5)?
7
Let n(g) = -g**3 + 3*g**2 + 4*g - 4. Suppose -4 + 44 = 10*z. Determine n(z).
-4
Let y = -933 - -929. Let t(a) = a**3 + 2*a**2 - 6*a + 1. Determine t(y).
-7
Let f(y) = y**2 - 4*y - 5. Suppose -5*l + 0*x + 2*x + 9 = 0, l = x. Suppose 0 = -4*z + 2*b + 12, -3*b - l = -3*z - 0*z. Determine f(z).
0
Suppose 5*a - 3*v = -20, 0 = 3*a + 2*a + v + 40. Let s(y) be the first derivative of -10 - 2*y**3 + 5/2*y**2 - 10*y - 1/4*y**4. Determine s(a).
4
Let z be 57/9 - (-2)/3. Suppose 2 = 9*w - z*w. Let i be (-13 - -12)*w*-1. Let v(k) = 2*k**3 + k**2 - 1. Calculate v(i).
2
Suppose -21 = 5*y - l, 12 = 3*y - 7*y + 2*l. Let h(v) be the third derivative of v**5/60 + 5*v**4/24 - v**3 - 2*v**2. Calculate h(y).
-6
Let x(u) = u**3 + 7*u**2 + u - 7. Let h(k) be the second derivative of k**4/12 + 5*k**3/6 - 7*k**2/2 - 4*k. Let b be h(-5). Calculate x(b).
-14
Let t(h) = -60 + h + 30 + 40. Determine t(8).
18
Suppose h - 7 = -5. Suppose -2*y = -3*i + 19, -4*y = h*i - y + 9. Let r(c) = 4*c**2 - 2*c**3 - c**3 - 4*c + 2*c**3 - 1. Determine r(i).
-4
Let p(j) = -j + 2. Let a be (-12)/8*(-136)/12. Suppose -20*t = -a*t - 15. Determine p(t).
-3
Suppose 31*a = 52 + 196. Let y(v) = v**2 - 10*v - 5. Determine y(a).
-21
Let f(a) = -4*a**2 + 5*a + 16. Let t(i) = i**2 - 5. Let c(x) = f(x) + 3*t(x). Determine c(5).
1
Let t(q) = 4*q**3 + 23*q**2 - 7*q - 28. Let o(y) = y**3 + 6*y**2 - 2*y - 7. Let k(v) = -9*o(v) + 2*t(v). Determine k(-8).
-25
Let m(s) = -2*s**2 - 26*s - 25. Let r be (7 - (-519)/(-27)) + 6/27. Determine m(r).
-1
Let r(u) = u**3 - 5*u**2 - 5*u - 3. Let h(z) = -1. Let f(q) = -3*h(q) - r(q). Let k be (-13 - -3)*(-6)/(-4). Let v = k - -21. Determine f(v).
0
Let u = 3 + -5. Suppose -5*j - 8*j = 78. Let a be (j/(-12))/(u/(-4)). Let p(h) = -3*h**3 - h**2. Determine p(a).
-4
Let h(t) be the first derivative of t**3/3 + t**2/2 + 11*t + 1. Let f(u) = -u - 1. Let a be ((-40)/12)/(2/3). Let y(r) = a*f(r) - h(r). Give y(5).
-11
Suppose 65 = 54*x - 59*x. Let s(f) = f**3 + 13*f**2 - f - 18. Determine s(x).
-5
Let w(u) = -6*u**2 - 15*u - 29. Let x(o) = o**2 + 3*o + 6. Let b(j) = 2*w(j) + 11*x(j). Suppose -3*l + 12 = 0, 5*l - l = -3*c + 34. Give b(c).
-10
Suppose 4*d = -2 + 50. Suppose -d*k = -7*k + 30. Let j(f) = f**2 + 5*f - 8. Calculate j(k).
-2
Let u be 20/(-30)*((-58)/(-4) + 2). Let m(k) = -k - 9. What is m(u)?
2
Suppose 4*o = 5*o - 10*o. Let m(u) be the third derivative of 4*u**2 + o*u**4 + 1/60*u**5 - 1/3*u**3 + 0 + 0*u. Determine m(-3).
7
Let w(p) = -p + 1. Suppose -12 = -2*n + 2. Suppose -y = 1, 4*d = 4*y - n*y + 1. Let s(b) = 9*b - 4. Let i(a) = d*s(a) + 4*w(a). Give i(-2).
-10
Let r be (-126)/(-26) - 4/(-26). Suppose 2*i - r*x = 25, x + 0*x - 17 = -4*i. Let y(z) = 4*z**2 + z + 2*z**2 + 1 - i*z**2. Calculate y(3).
13
Let z(s) = -20*s - 5. Let n be z(-2). Let i = n + -40. Let w(g) = g - 1. Let r(l) = 4*l - 3. Let u(f) = r(f) - 3*w(f). Determine u(i).
-5
Let l(c) = -c**2. Suppose -4*h = 2*i - 8, -h + 160 = -2*i + 168. Calculate l(h).
0
Let r be ((-8)/6)/((-3)/(-9)). Let m(c) = 30*c**2 + 32*c**2 + 29*c**2 - 90*c**2. Determine m(r).
16
Let j(h) be the first derivative of -h**2/2 - 13*h - 1. Suppose 7*t + 120 = -5*t. Let x be j(t). Let w(k) = k + 3. What is w(x)?
0
Let w(x) be the first derivative of -x**3/3 - 9*x**2/2 - x - 44. What is w(-8)?
7
Let v(g) = 14 - g - g - 5. Suppose -6*x = -5*x + 3*c + 9, -5*c - 37 = -2*x. What is v(x)?
-3
Let w(j) = 2*j + 5. Let m(x) = -x**3 + 6*x**2 + 3*x + 5. Let v be m(5). Suppose -d = 4*d - v. Let p be (-2)/((d/6)/3). What is w(p)?
-3
Let n(m) = 7*m**3 + 4*m**2 - 8*m + 4. Let b(d) = -13*d**3 - 7*d**2 + 15*d - 8. Let r(z) = 6*b(z) + 11*n(z). Determine r(4).
-28
Suppose 36 = 4*i + 5*n, -6*n + 8 = -i - 3*n. Let z(w) be the first derivative of -i - 1/2*w**2 - w. What is z(4)?
-5
Let a(h) be the second derivative of h**4/12 - 3*h**3/2 + 7*h**2/2 + h. Let x(c) = 28*c + 4*c**2 - 7*c**2 + 8 - 30. Let k(n) = -7*a(n) - 2*x(n). Calculate k(5).
5
Let w = 163 - 173. Let h(m) = -m**3 - 9*m**2 + 11*m - 3. Give h(w).
-13
Suppose 7*g - 5*g - 20 = 0. Let z be 60/(-4)*(-12)/g. Let m be 10*(z/5 + -3). Let q(p) = p**3 - 5*p**2 - 5*p - 4. Calculate q(m).
2
Let z(h) be the second derivative of h**5/20 + 3*h**4/4 + h**3/6 + 5*h**2 + 189*h. Determine z(-9).
1
Let g be (0 + 1/(-2))*2. Suppose 0 = 3*j + 3, -2*y - 3*y + 33 = 2*j. Let k(d) = 4 - 4*d**3 + d + y*d**3 - 4 + 1. Give k(g).
-3
Let y(v) = v - 2. Suppose -3*o + 6 = -24. Let n = 6 - o. Give y(n).
-6
Let r = 19 + -4. Suppose -4*j + u = -3*j - 7, 3*u + r = 0. Let m(t) = 2 + 15*t**3 - 2*t**2 - 3 - 14*t**3 + j*t. What is m(2)?
3
Suppose 0 = -2*u - 2*x + 32 - 4, -4*u + 3*x = -56. Suppose 7*b - 5*b = u. Let s(d) = d - 3. Give s(b).
4
Let l(m) = -m**2 + 1 - 1912580*m - 13*m**3 + 1912580*m. Let b = 2 + -1. Determine l(b).
-13
Let p(b) = -2*b**2 + 48*b - 25. Let l(h) = 3*h**2 - 75*h + 37. Let j(g) = 5*l(g) + 8*p(g). Determine j(5).
5
Let d(u) be the first derivative of -u**6/360 + u**5/24 + 5*u**4/24 + u**3 - 17. Let l(w) be the third derivative of d(w). What is l(5)?
5
Let h be 2/(-1) + 3 + 2 - -3. Let l(g) = -3*g + 21. Let j be l(h). Let v(m) = -m**3 + 2*m**2 + m - 2. Determine v(j).
-8
Suppose -4*j + 0 = -8. Let k(u) = 2*u + 6. Let l(h) = h - 3. Let i(t) = -1. Let v(s) = 4*i(s) - l(s). Let b(x) = k(x) + 4*v(x). Give b(j).
-2
Let y(n) = -3*n - 12. Suppose 0 = -9*i + 6*i - 15. Let l be y(i). Let u(q) = 39*q**l + 32*q**3 + q - 72*q**3 + 10 - 8*q**2. Give u(-8).
2
Let h(m) be the third derivative of m**5/60 + 5*m**4/24 + m**3/6 + 3*m**2 + 18*m. Give h(-4).
-3
Let r(i) = i**2 - 5*i - 8. Let k be r(6). Let u(v) = 9*v - 3. Let c(p) = -26*p + 8. Let q(b) = -2*b + 4. Let x be q(-5). Let a(w) = x*u(w) + 5*c(w). Give a(k).
6
Let t(r) = r**3 - 24*r**2 - 144*r - 31. Let b be t(29). Let c(v) = 20*v - 2. Calculate c(b).
-42
Let k(b) be the third derivative of b**8/672 + b**7/2520 + b**4/3 + 8*b**2. Let s(a) be the second derivative of k(a). What is s(1)?
11
Let t(k) be the first derivative of -3*k**2 - 4*k - 1. Suppose 22*s + 15 = 27*s. Suppose 3*z + 19 = s*w + 2*w, -5*z - 19 = -2*w. What is t(z)?
14
Let x(u) = -u**2 - 10*u - 23. Let a be x(-6). Let c(s) = -15*s**3 - 1. What is c(a)?
-16
Let j(i) = i - 2. Let u be j(4). Let o(d) be the third derivative of -d**6/120 - d**4/8 + d**3/6 - d**2 + 74. Give o(u).
-13
Let m(z) = -27*z**2 - 39*z - 26. Let y(s) = 5*s**2 + 8*s + 5. Let l(f) = -2*m(f) - 11*y(f). Suppose -4*q - 2*g + 4*g - 22 = 0, -3*g = -4*q - 17. Calculate l(q).
13
Let y(i) = -3 - 5 + 2*i - 2 + 14. Calculate y(-4).
-4
Suppose 0 = 2*q + 6 - 26. Let p(z) = 5*z**2 - z*
|
{
"pile_set_name": "DM Mathematics"
}
|
4 = -2*r + 3*s + 3. Is 0 + -3 + (-76)/(r - 2) a multiple of 10?
False
Let f = 201 - 113. Let r(c) = -2*c**3 - 3*c**2 + c + 7. Let d be r(3). Let g = f + d. Is 4 a factor of g?
False
Suppose 259 = 5*n - 5*i - 121, -2*n - 4*i = -170. Suppose -5*z + 4 = l - 45, n = l - z. Suppose -4*u + l = -58. Does 11 divide u?
True
Let q(a) = a**3 + 9*a**2 + 22*a + 9. Let t be q(-6). Let d = 507 + t. Is d a multiple of 6?
True
Suppose 3*g + 3*a - 4725 = 0, -36*g + 35*g + 1575 = -a. Does 117 divide g?
False
Let d(t) = -t**3 + 4*t**2 - 3*t + 3. Let v be d(3). Suppose -3*g + 6*g - 155 = 4*j, -163 = -v*g + 2*j. Does 5 divide g?
False
Suppose 4*l + j - 2 = 0, -j - 10 = -6*j. Suppose 2 = o, -3*d + l*o + o = -4. Is ((-1)/(-2))/(d - (-150)/(-76)) a multiple of 2?
False
Let s = 1173 - 1159. Let v(g) = g**2 + 21*g + 0*g**2 - 2*g**2 - 11. Is v(s) a multiple of 18?
False
Let t be 1 + 93/2 - (-54)/36. Suppose t*u - 2395 = 44*u. Is u a multiple of 21?
False
Let c be ((-10)/5 + 4)*(-1)/2. Let b be (c - 392/6)/((-3)/18). Suppose 5*i - 657 = -3*x, 2*i = -2*x + 40 + b. Does 37 divide x?
False
Suppose -2*h + 26464 = 4*o, 26*h + 66145 = 31*h - 5*o. Does 27 divide h?
True
Let c(w) = 7*w + 6. Let y(d) = 8*d + 7. Let j be ((-10)/(-2))/(-3 + 4). Let o(t) = j*y(t) - 4*c(t). Does 12 divide o(6)?
False
Suppose 5*j - 2320 = 1240. Let y = -448 + j. Is 33 a factor of y?
True
Let l = -30 - -247. Let i = -47 + l. Is 24 a factor of i?
False
Suppose -6*z = -7*z + 3*v + 17, 5*z = 3*v + 49. Let i be -1 - (14/z)/((-3)/132). Suppose -i = 4*g - 552. Does 12 divide g?
False
Suppose 4*i - 6*i + k + 79633 = 0, 0 = -i + k + 39821. Is i a multiple of 148?
True
Let u = -921 + 933. Let g = -71 - 165. Does 39 divide (0 + 3)*u/(-18) - g?
True
Suppose -11*b + 15*b = 11*o + 15279, 0 = 3*b - 3*o - 11433. Is 162 a factor of b?
False
Suppose -66*s - 161*s + 1087502 = -1006119. Is 33 a factor of s?
False
Does 47 divide (136/6 + -3)/(10380/5184 + -2)?
False
Suppose 129*n = -21*n + 596658 + 923142. Is n a multiple of 13?
False
Suppose 5*v - 12 - 8 = 0, 3*p + v - 58 = 0. Is (1 - 30/p)*(0 - 75) a multiple of 25?
True
Let j = -105 - -1062. Suppose j + 209 = 4*d - 2*h, 0 = -3*h + 9. Suppose 0 = -5*m - d + 808. Is m a multiple of 21?
False
Suppose 5*h - 776 = -4*i, -h + 3*i + 2*i + 132 = 0. Suppose 0 = 2*m - 3*u - h, -3*u + 0*u - 304 = -4*m. Is m a multiple of 7?
False
Let r(s) = -55*s + 145. Let b be r(10). Is 22 a factor of -1 + (-2987)/(-15) - (-54)/b?
True
Let c(u) = 4*u**3 + 4 - 3*u**3 - 2*u + 16 - 5 + 5*u**2. Let i be (0 - 2) + 2 + -5. Does 5 divide c(i)?
True
Suppose -12*t - 4675 = -13759. Is 15 a factor of t?
False
Let m(n) = -3670*n - 296. Does 306 divide m(-5)?
True
Let f(d) = -d**2 - 42*d - 108. Let x be f(-39). Suppose -x*u + 576 + 1062 = 0. Does 6 divide u?
False
Let l be (-1)/4*12/(-9)*15. Suppose 3*d - 142 = 2*d + 3*p, p - 694 = -l*d. Is d a multiple of 77?
False
Let m = 4187 - -5777. Is m a multiple of 17?
False
Suppose 5*k + 189 = -4*s, -8 = -s - s. Let j be 60/24 - (-1055)/10. Let t = j + k. Is 14 a factor of t?
False
Suppose 3*s - 11896 = 7*l - 5*l, -s + 3964 = -l. Suppose 453*j - 461*j + s = 0. Does 8 divide j?
True
Let c(s) = 27*s**3 + 12*s**2 - 29*s + 35. Let h(x) = -9*x**3 - 4*x**2 + 10*x - 12. Let k(d) = 6*c(d) + 17*h(d). Is k(3) a multiple of 22?
False
Suppose 5*u - 220 + 240 = 0. Is 18 a factor of (u/8)/((-5)/720)?
True
Let f(l) = -l**3 - 16*l**2 - 49*l - 20. Let w be f(-14). Let v = 284 + w. Is v a multiple of 17?
False
Let b be ((-3)/2 - -2)*230. Let h = b + -136. Does 11 divide (-1)/(((-28)/10 + 3)/h)?
False
Suppose 40 = 3*v + 2*v - 2*i, 0 = -3*v - 3*i + 3. Suppose -2*p - 36 = -2*k, 5*k - 90 = -v*p + 2*p. Does 9 divide (k - (-4 - -1)) + -3?
True
Let x(i) = i**2 - 6*i + 9. Let u be x(7). Let r = -7 + u. Let t = r - 4. Does 3 divide t?
False
Suppose -6*c + 4*c = -478. Suppose c = 3*d - 253. Suppose 2*z - d = -a - a, 0 = a + 2*z - 79. Is 10 a factor of a?
False
Let k be 1 - ((-36)/(-48) + (-10077)/12). Suppose 5*j - 4224 = 3*m, -k = -3*j + 2*j + 3*m. Is 47 a factor of j?
True
Does 6 divide -8 + (-41665 - -1)/(-7) + 12?
False
Let b = 1444 + -751. Is b a multiple of 26?
False
Let r(y) be the second derivative of 41*y**3/6 + 50*y**2 + y - 45. Is r(7) a multiple of 43?
True
Let q = -542 - -974. Suppose -4*k = -3*k - q. Does 27 divide k?
True
Suppose s = -s - v - 469, 953 = -4*s + 3*v. Let u = s - -284. Is 12 a factor of u?
True
Let t(n) = -37*n + 938. Does 6 divide t(-10)?
True
Let u(m) = m + 4. Let g be u(5). Suppose 2*q - l - g = -0*q, -q + 2*l + 3 = 0. Suppose 2*a - 39 = s - 9, -q*a - 4*s = -75. Is 3 a factor of a?
True
Let l = -315 + 525. Let x be (8/12)/(4/l). Suppose x = i + 29. Is 2 a factor of i?
True
Suppose -t + 2569 = -4*p, t + 7*p - 3*p = 2537. Is 16 a factor of t?
False
Let n = -63 + 68. Suppose 5*i = b + 498, -n*b - 26 = -11. Is i a multiple of 11?
True
Suppose -2*y = -6, -5*c + 3 = y + 5. Let p be (8/3)/(c/3). Is 15 a factor of 92 + (12/9)/(p/12)?
True
Suppose 1441 = 5*g - 819. Let i = g + -220. Suppose 108 = 4*h - i. Is 17 a factor of h?
True
Suppose 5 = 5*c - 5*m, -m = 1 + 1. Let g be c + (4/2)/((-4)/(-6)). Suppose g*s - 5 + 187 = 4*y, 2*y = 3*s + 81. Is y a multiple of 11?
False
Let u(q) = 15*q**3 - 9*q**2 - 12*q + 14. Does 45 divide u(8)?
False
Let n(d) be the first derivative of 21*d**2/2 - 246*d - 164. Is n(35) a multiple of 20?
False
Suppose 10*o - 13*o = -3*l + 51, 0 = 2*l + 2*o - 34. Suppose -68 = 16*b - l*b. Is 8 a factor of b?
False
Let l be (1 + 13/3)*72. Let c be (-9)/(-4)*l/9. Let j = -38 + c. Does 33 divide j?
False
Suppose 0*m + 3*m - 9 = 0. Let f(p) be the first derivative of p**3 - 3*p**2/2 - 2*p - 523. Is 16 a factor of f(m)?
True
Suppose 0 = 49*l - 77*l + 97888. Is 43 a factor of l?
False
Let i be (-2 + 18 + -2)/(10 + -8). Let c(w) = i + w + w - 11*w + 6. Does 40 divide c(-13)?
False
Suppose -7352 = -w - 3*v - 309, -2*v = 0. Is w a multiple of 32?
False
Let v(j) = j + 1. Let k(p) = 15*p + 6. Let t(r) = k(r) + 4*v(r). Is t(6) a multiple of 10?
False
Does 76 divide ((-38682)/(-56))/(3/100) + (2 - -1)?
True
Suppose 2*v = 2, -4*h + 2*v + v = 167. Let u = 47 + h. Suppose 4*r = k - 25, 0 = -3*r + r + u. Is 7 a factor of k?
False
Suppose 686*g - 150*g + 61*g = 27223200. Does 160 divide g?
True
Let f(z) = -z**3 - 6*z**2 - 16*z - 26. Suppose 9*n - 5*n = -24. Is 5 a factor of f(n)?
True
Let y(a) be the second derivative of 2*a**5/5 - 5*a**4/12 - a**3/3 - a**2/2 - 18*a. Let o be y(5). Suppose -12*d + 3*d + o = 0. Is d a multiple of 15?
False
Let d(f) = -28*f - 43. Let w be d(-6). Let j = w + -93. Does 16 divide j?
True
Let x(s) = 8*s**2 + 51*s + 349. Is 3 a factor of x(-13)?
True
Is (10/55*341)/(2/116) a multiple of 58?
True
Suppose 2*k + k = -15, 3*t + 3*k = 42. Let f(z) = 8*z - 37. Let a be f(t). Suppose 0 = -m + 3*g + a, -4*g = 4*m - 3*g - 512. Is 11 a factor of m?
False
Suppose 5*y = 6*n - 6072, 3*n + 2*n - 5060 = -5*y. Is 22 a factor of n?
True
Suppose -87 = -4*q - 3. Let o(u) = -16 - 5*u + q + 20*u. Does 9 divide o(3)?
False
Let i(s) = -s**2 + 7*s - 2. Let u be i(3). Let f = 2517 - 2557. Does 10 divide 8/u - 1968/f?
True
Let c(r) = 3927*r - 1134. Does 14 divide c(6)?
True
Is 4 a factor of (1864 - -1) + -1 - (28 - 24)?
True
Let j be (-54*2/(-8))/(3/200). Let r = j - 151. Suppose 4*t = -4*h + 6*t + 1002, r = 3*h - t. Is h a multiple of 33?
False
Suppose -f + 13694 = -4*t, -32*f = -31*f - 3*t - 13689. Is f a multiple of 43?
True
Suppose 203776 = -1684*f + 1716*f. Is 32 a factor of f?
True
Suppose 107*i - 3*u = 110*i - 27477, 2*i - 18338 = 2*u. Does 8 divide i?
False
Suppose -14*j = -4*w - 13*j + 3, w + 12 = -4*j. Suppose s = 137 + 102. Suppose w = 2*h - s - 371. Is h a multiple of 26?
False
Suppose 0 = -2*c + t - 30 - 0, -55 = 3*c + t. Let o(x) = -x**3 - 19*x**2 - 46*x + 15. Is o(c) a multiple of 73?
True
Suppose 4*p = l + 17, -p - 7 = -l - 15. Suppose -3*w = 3*n - 2181, -p*n + n + 1458 = -2*w. Is n a multiple of 16?
False
Suppose -q = -31*p + 30*p - 11074, 2*p = -q + 11080. Does 142 divide q?
True
Let n be -61 + -4 + (-1 - 0). Let f(b) = 24*b - 200. Let m be f(7). Let u = m - n. Does 5 divide u?
False
Let s(p) = -p**3 - 6*p**2 - 11*p - 17. Let i be s(-5). Suppose -17*a = -i*a - 1272. Is a a multiple of 21?
False
Let z = -918 - -2349. Is z a multiple of 27?
True
Supp
|
{
"pile_set_name": "DM Mathematics"
}
|
) - 9*p(z). Let a(r) = 6*r**3 + 2*r**2 - 10*r. What is -a(h) + 8*m(h)?
-6*h**3 - 2*h**2 + 2*h
Let s be (-18)/24 - 13 - 6/(-8). Let j(h) = 2*h - 5. Let v(z) = 4*z - 11. What is s*j(y) + 6*v(y)?
-2*y - 1
Let p(t) = 3*t**2 + 3*t + 13. Let z(f) = -f**3 + 16*f**2 + 5*f - 16. Let d be z(16). Let c = d - 62. Let l(b) = -b**2 - b - 4. What is c*p(y) + 7*l(y)?
-y**2 - y - 2
Let g(x) = 6*x**3 - 5*x + 5. Let t be 495/756 + (-8)/(-84). Let o(q) be the first derivative of q**2 + 6 - t*q**4 - 2*q + 0*q**3. Calculate 2*g(h) + 5*o(h).
-3*h**3
Let u(q) be the first derivative of -7*q**2 + 6*q - 191. Let v(y) = -5*y + 2. Determine -4*u(b) + 11*v(b).
b - 2
Let y(x) = -x**3 - x**2. Let j(t) = 4*t**3 + 2*t**2 + 63. Give -j(h) - 3*y(h).
-h**3 + h**2 - 63
Let j(v) = -20*v**3 - v**2 + 17*v + 17. Let s(d) be the second derivative of -7*d**5/20 + d**3 + 3*d**2 + 102*d. Determine -6*j(h) + 17*s(h).
h**3 + 6*h**2
Suppose -7*j + 134 - 92 = 0. Let m(f) = 14*f**3 + 6*f**2 + 1. Let a(h) = 27*h**3 + 11*h**2 + 2. Determine j*a(u) - 11*m(u).
8*u**3 + 1
Let o(j) = -2*j + 3. Let b(n) = -62*n + 9. Let a(r) = 420*r - 63. Let d(z) = -4*a(z) - 27*b(z). What is -3*d(p) + 8*o(p)?
2*p - 3
Let r(h) = -h + 1. Suppose -2*f = 5*d - 4*d + 5, -4*d = f - 8. Let b = d + -1. Let x(m) = -8*m + 8. Determine b*x(g) - 14*r(g).
-2*g + 2
Let u(l) = 29*l**2 - 3*l + 7. Let a(x) = 85*x**2 - 9*x + 20. Calculate 6*a(y) - 17*u(y).
17*y**2 - 3*y + 1
Suppose 2*q - q = -7. Let s(k) = -1 - 6*k**2 - 4 - 2*k**3 - 6*k + 2 + 4*k**3. Let h(p) = 2*p**3 - 7*p**2 - 7*p - 4. Suppose -7 - 5 = -2*n. Give n*h(x) + q*s(x).
-2*x**3 - 3
Let f(o) = -o**3 - 2*o - 4. Let q = 0 + -2. Let p(v) = 6*v + 1. Let k be p(q). Suppose 7*u - 16 = -2. Let z(l) = -6*l**3 - 11*l - 21. What is k*f(n) + u*z(n)?
-n**3 + 2
Let u(h) = -158*h - 13. Let s(g) = -317*g - 28. Give 6*s(a) - 13*u(a).
152*a + 1
Let z(x) = 6*x - 7. Let d(u) be the third derivative of 7*u**4/24 - 4*u**3/3 - 2*u**2 - 5. Calculate 4*d(c) - 5*z(c).
-2*c + 3
Suppose -37 = 26*v + 11*v. Let h(t) = -t + 1. Let p(j) = 3*j**3 - 6*j + 5. Calculate v*p(w) + 5*h(w).
-3*w**3 + w
Let a(s) = 4*s - 6. Let v(r) = 5*r - 7. What is 6*a(t) - 5*v(t)?
-t - 1
Let k(q) = -2*q**2 - 24*q + 32. Let t(z) = -z + 3. Calculate -k(n) + 10*t(n).
2*n**2 + 14*n - 2
Let p(x) = 4*x. Let g(k) = -3*k - 24. Let t(o) = -3*o - 20. Let j(f) = 5*g(f) - 6*t(f). Let m = 6 - 3. Suppose 20 = -8*s + m*s. Give s*p(v) + 6*j(v).
2*v
Let s(q) be the third derivative of -q**4/24 - 2*q**3/3 + 427*q**2. Let t(u) be the first derivative of -u**2/2 - 3*u + 1. Give -3*s(l) + 4*t(l).
-l
Let o(b) = 8*b - 17 - 8*b - 2*b**2 + 11 + 9. Let z(i) = 3*i**2 - 2. What is 4*o(n) + 6*z(n)?
10*n**2
Let o(w) = -14*w**3 - 29*w**2 + 14*w - 25. Let m(r) = -5*r**3 - 10*r**2 + 5*r - 8. Give -17*m(g) + 6*o(g).
g**3 - 4*g**2 - g - 14
Let l(f) = -26*f + 11. Let n be -3*(-6)/(-27)*-3. Let j(m) = 2 + m + m + n*m - 9*m. Calculate 11*j(g) - 2*l(g).
-3*g
Let n(i) = -9*i + 10 + 9 - 37 + 5*i**2 + 11 + 2*i. Let m(t) = -2*t**2 + 3*t + 3. Calculate -7*m(u) - 3*n(u).
-u**2
Let y(d) = -171*d**3 - 4*d. Let k(n) = 3760*n**3 + 90*n. Calculate 2*k(z) + 45*y(z).
-175*z**3
Let p(n) = -24*n - 22. Let x(u) = u**2 + 4*u - 6. Let j be x(-7). Let f be 2/j - 7282/165. Let d(t) = t + 1. What is f*d(w) - 2*p(w)?
4*w
Let s(q) = q - 1 - 3*q**2 + 2*q**2 - q**3 + 2*q**3. Suppose 1085*t + 17 = 1068*t. Let w(b) = -8*b**3 + 6*b**2 - 6*b + 3. Determine t*w(f) - 6*s(f).
2*f**3 + 3
Let o(j) = -2*j**3 - 10*j**2 + 10*j + 2. Let x(r) = -r**2 + r. Let y(w) = w - 4 + 4 + 1 - 2*w. Let l be y(0). Suppose -p + 3*p = -20. Give l*o(z) + p*x(z).
-2*z**3 + 2
Let u(q) = q**2 + 15*q + 8. Let p be u(-14). Let j(x) = 3*x**2 - 8*x**2 + 7*x**2. Let l(o) = o**2. Let h = 12 - 2. What is h*l(s) + p*j(s)?
-2*s**2
Suppose -5*y + 22*i - 17*i + 45 = 0, 5 = 5*y + 3*i. Let b(x) = 0 - 4*x - 2 - 3*x - y. Let g(c) = -11*c - 9. Calculate -8*b(h) + 5*g(h).
h + 3
Let w(f) = -307*f**3 + 4*f**2 + 4*f - 6. Let g(l) = -307*l**3 + 3*l**2 + 3*l - 5. What is -4*g(j) + 3*w(j)?
307*j**3 + 2
Let z be -5*((3 - -3) + (-6)/(-10)). Let h(l) = -11*l. Let i(q) = 176*q. Calculate z*h(v) - 2*i(v).
11*v
Let w = 95 - 44. Let s(l) = 3*l**2 - 2. Let t(u) = -3 + 11*u**2 + 25*u**2 - 14 - 11*u**2. Determine w*s(k) - 6*t(k).
3*k**2
Let d(u) = 595*u. Let m be 4*(-333)/252 + 10/35. Let z(q) = 22*q. What is m*d(x) + 136*z(x)?
17*x
Let q(d) = d**2 - 37. Let x(h) = h**3 + h**2 - h - 36. Give 3*q(w) - 2*x(w).
-2*w**3 + w**2 + 2*w - 39
Let x(t) = -t**3 + 4*t**2 + 6*t - 8. Let p be x(5). Let i(h) = -96*h**3 + 56*h**2 + 56. Let f(v) = 5*v**3 - 3*v**2 - 3. Determine p*i(c) - 56*f(c).
8*c**3
Let y(p) = p + 124. Let r(i) = 2*i + 250. Calculate -6*r(j) + 13*y(j).
j + 112
Let r(u) = 104*u + 15. Let w(i) = 105*i + 12. Calculate -5*r(a) + 6*w(a).
110*a - 3
Let q = 611 + -606. Let b(n) = n + 1. Let i(m) = -5. Determine q*b(s) + i(s).
5*s
Let y(a) = -4*a**3 + 3*a**2 + a. Suppose -6 = d - 4*d, -4*h + 5158 = 5*d. Let b(m) = 4*m**2 - 5*m**3 + h - 1287. Determine -3*b(i) + 4*y(i).
-i**3 + 4*i
Let c(a) = -4*a**2 - 5*a. Let r(z) = z + 0*z + 38680 - 38680. Let x(n) = 2*n**3 - 2*n**2 + n. Let o be x(1). What is o*c(s) + 3*r(s)?
-4*s**2 - 2*s
Let x(t) = -450*t**3 - 24. Let f(m) = -90*m**3 - 5. Determine -14*f(n) + 3*x(n).
-90*n**3 - 2
Suppose 5*g + 122 = 372. Let b be ((-2)/4)/((-5)/g). Let q(x) = -4*x + 3 + b + 0. Let n(i) = 3*i - 5. What is 8*n(f) + 5*q(f)?
4*f
Suppose l = 4*v - 4, -12 = -v + 2*v + 3*l. Let z be v/((-2)/((-1)/1)). Let t(b) = z + 3 - 3 - 2. Let m(q) = q. Give -m(i) - t(i).
-i + 2
Let i(b) = 5830*b**2 + 135*b. Let h(n) = -265*n**2 - 6*n. What is -45*h(j) - 2*i(j)?
265*j**2
Let m be 47/9 - (-8)/(-36). Let t(y) = -4*y**2 + 0*y**2 + 2 + y + 2*y**2 - 1. Let a(j) = -3*j**2 + j + 1. Determine m*t(h) - 3*a(h).
-h**2 + 2*h + 2
Let g(d) = d - 2 - 4*d - 3*d**2 - 2. Let c(w) = 4*w**2 + 4*w + 5. Let l be ((-9)/2)/((-75)/100). Calculate l*g(i) + 5*c(i).
2*i**2 + 2*i + 1
Let a(m) = m + 1. Let z(j) = -2*j - 2. Suppose 25 = 5*y, -2*y = -4*s - y + 15. Let u be (6/(-9)*(-63)/14)/1. Determine s*a(d) + u*z(d).
-d - 1
Let a(s) be the third derivative of -s**4/6 - 5*s**3/6 + s**2. Suppose -2*g = -3*u - 43, -74*u = -72*u - 6. Let w(o) = -o - 1. Determine g*w(f) - 6*a(f).
-2*f + 4
Let s(i) = -i**2 + i - 1. Let r(l) = 6*l**2 - 20*l + 38. Let g(j) = -2*j**2 + 5*j - 9. Let y(t) = 9*g(t) + 2*r(t). Determine 11*s(n) - 2*y(n).
n**2 + n - 1
Let o(b) = b**2 - 1. Let c(i) = -3*i**3 + 6*i**2 - 61. Determine -c(r) + 5*o(r).
3*r**3 - r**2 + 56
Let n(s) = 3*s + 1 - 2*s - 3 + s. Let t(l) = -3 + 64*l - 31*l - 30*l. Calculate -7*n(z) + 5*t(z).
z - 1
Let w(t) = -t - 2. Let h(b) = 4*b + 3. Let y(r) = r + 1. Let g(n) = -3*h(n) + 15*y(n). Let u = -266 + 277. Determine u*w(l) + 4*g(l).
l + 2
Let m(r) = 7*r**3 - 4*r + 4. Suppose 5 = -5*o, 4*o + 6 = -5*z - 18. Let s(p) be the first derivative of 5*p**4 - 11*p**2/2 + 11*p - 613. Give z*s(j) + 11*m(j).
-3*j**3
Let z(o) = -9*o + 5. Let s be 14/3 - 3 - 602/(-42). Let n(v) = 28*v - 16. Calculate s*z(b) + 5*n(b).
-4*b
Let r(b) = 14*b - 222. Let y be r(16). Let x(h) be the second derivative of 3*h**5/20 - h**4/6 + h. Let j(p) = 7*p**3 - 3*p**2. What is y*j(n) - 5*x(n)?
-n**3 + 4*n**2
Let p(j) = 2*j**2. Let g(s) = -3*s**2. Suppose 0 = -3*y + 27*w - 26*w + 14, 4 = -2*y - 2*w. Calculate y*g(t) + 5*p(t).
t**2
Let z = 887 - 888. Let k(f) = -f**3 + f**2 + f. Let t(y) = 2*y**3 - 4*y**2 - 2*y + 4. What is z*t(r) - 4*k(r)?
2*r**3 - 2*r - 4
Let y(t) = t**2 - 6*t + 1. Let j(i) = 9*i**2 - 65*i + 9. Let m(f) = -2*j(f) + 22*y(f). Let l(w) = 5*w**2 - 2*w + 5. What is 2*l(q) - 3*m(q)?
-2*q**2 + 2*q - 2
Let k(i) = -6*i - 10 - 3 - 4. Let r(t) = 4*t + 11. Give -5*k(n) - 8*r(n).
-2*n - 3
Let n(p) = 5*p**2 - 4*p + 1. Let a(m) = 14*m**2 - 11*m + 3. Let x(c) = c**2 - 15*c - 42. Let t be x(17). Let h = -7 - -10. Calculate h*a(w) + t*n(w).
2*w**2 - w + 1
Let u(r) = 311*r + 2. Let t(w) = -48515*w - 313. Calculate 2*t(v) + 313*u(v).
313*v
Let o(a) = 34*a**2 + 24*a - 11. Let i(w) = 21*w**2 + 16*w - 7. Give 8*i(v) - 5*o(v).
-2*v**2 + 8*v - 1
Let l(q) = -3*q + 9. Let o(i) = 5. Let s(p) = 3. Let u(d) = -4*o(d) + 7*s(d). Let c(v) = l(v) - 4*u(v). Let x(z) = -4*z + 6. Calculate 5*c(m) - 4*x(m).
m + 1
Let y(z) = -484*z - 16. Let c(g) = -161*g - 6. What is -11*c(s) + 4*y(s)?
-165*s + 2
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
et y = 22.6 + -25. Let s = y + -1.6. Which is the biggest value? (a) -2/7 (b) x (c) s (d) -6/5
b
Let v = 14.05506 - 0.05506. Which is the fourth biggest value? (a) -0.2 (b) -4 (c) -9 (d) v
c
Let g = -0.27816 + 0.29816. Which is the fourth biggest value? (a) g (b) 45 (c) 0 (d) -2/7
d
Let u(c) = c**3 - 12*c**2 + 13*c - 27. Let r be u(11). Let w = 31 + -29. What is the second biggest value in 0.22, r, w?
0.22
Let p = 3646 + -3651. Which is the smallest value? (a) 204/11 (b) 0.4 (c) p
c
Suppose -90*g - 133*g - 102 = -274*g. Let x = -0.18 + -6.82. Let q = x + 11. What is the third smallest value in -2, g, -2/5, q?
g
Let v = -9 - -6. Let n = -2/4413 - 887009/8826. Let f = -98 - n. What is the third smallest value in v, 5, -0.12, f?
f
Let h be 6 + (18/(-81)*-33 - 4). Which is the fourth biggest value? (a) 0.2 (b) -16 (c) 5 (d) h
b
Let r be (-1)/((-29 + 34)*2/6). Let p = -2021/3 - -673. What is the smallest value in -16, p, r?
-16
Let h = -0.08 - -6.08. Let g = 5.65 - h. Let s = g + -0.15. Which is the smallest value? (a) s (b) 4/5 (c) -0.1
a
Let t be (-268)/20 - 2/(-5). Let u(l) = l**2 + 13*l - 8. Let s be u(t). What is the biggest value in s, 2/11, -4?
2/11
Let n be ((-4)/2)/(4*(-6)/(-36)). Let v = 10154/1225 - 4/1225. Let y = 508/63 - v. Which is the second smallest value? (a) y (b) 0.05 (c) n
a
Let s = 537 + -533. Let b be (-546)/441 - 4/(-6). Let q = 0.17 + -7.17. What is the third smallest value in q, s, b?
s
Let z = -20913 + 20913. What is the biggest value in z, -2, -4, -0.12, 13?
13
Let r be -7 - -2 - (-118)/23. Let i = -17/46 - r. What is the second smallest value in 2/15, 0.3, i, 3/2?
2/15
Suppose 0 = p + 2*h, -p + 4*p = -3*h. Suppose 4*o = 5*k - 7, -4*k + 3*o - 3 + 9 = p. What is the second biggest value in k, 1/2, 28?
k
Let r = -33542/5 + 6709. Which is the second biggest value? (a) 0.4 (b) 7/6 (c) r
c
Let s = -417.334 + 417. Let u = s + 5.334. Which is the third smallest value? (a) -1 (b) -0.7 (c) u
c
Let o = -40.78 - -35.78. Suppose 3*g - 5*l + 2*l - 6 = 0, 0 = -4*g + 5*l + 10. Which is the smallest value? (a) o (b) g (c) 2/41
a
Let f = -0.3783 + -0.6217. Which is the second smallest value? (a) -2/5 (b) -4/3 (c) f (d) 7
c
Let n = 5/1124 - -557/1124. Which is the second biggest value? (a) 3 (b) 139 (c) n
a
Let h = 0.04 - -0.255. Let m = -0.31 + h. Let l = -2.015 - m. What is the fourth smallest value in -3/4, -1/4, 0.4, l?
0.4
Let x = 878 + -911. Which is the fourth smallest value? (a) x (b) -1 (c) 3 (d) -4 (e) -1/3
e
Let x be ((-6)/18)/((-144)/(-54)). What is the fourth biggest value in -5, 272, -1/4, x, -1/5?
-1/4
Let z be 15/9 - (-19 + 5)/(-7). Which is the fourth biggest value? (a) 0 (b) 5 (c) z (d) 1/4 (e) 4
a
Let f = 0.0552 - 1.4402. Let q = 0.385 + f. Let l = 0.05 - 4.05. Which is the third smallest value? (a) 1 (b) q (c) l
a
Let i = -711.6 + 727.6. What is the second biggest value in -8, i, -29/4?
-29/4
Let n = -1280 - -1280.4. Which is the fourth smallest value? (a) -2/7 (b) 171 (c) 2/11 (d) n
b
Let m(t) = -15*t**2 - 2609*t + 171. Let d be m(-174). Let n = 2 + -1.9. Let i = n + 4.9. What is the third biggest value in 0.4, d, i, 0.2?
0.2
Let h = 13 - 8. Let w(k) = k**3 + 2*k**2 - k. Let z be w(1). Let f be -1*z*-1*3/(-10). Which is the fourth smallest value? (a) -8 (b) f (c) h (d) -3/4
c
Let s be 18/(-32)*8/12. Let t = 32.134 - 0.134. Let l = t + -32.3. Which is the second biggest value? (a) -6 (b) s (c) l (d) 1
c
Let m = 3.7986 - 3.512. Let f = m - 4.2486. Let x = f - 0.038. Which is the second smallest value? (a) 0.4 (b) 2/13 (c) x
b
Let t = 26.372 + -26.472. Which is the smallest value? (a) t (b) -1/53 (c) -0.22
c
Let n be ((-85)/20)/((-3)/12). Which is the smallest value? (a) 0 (b) n (c) 0.15
a
Let p = 221 - -134. Which is the second smallest value? (a) -2/9 (b) p (c) 0.5
c
Suppose 3*r - 24 = 5*z, 0*z + 3 = -z. Let v be r/(-18)*-4*(-12)/8. Which is the fourth biggest value? (a) 0.3 (b) -1/3 (c) 12 (d) v
d
Let v be (-162)/(-648)*(-2 + -2 + -2). Let w = -0.032 + 0.452. Let s = -0.12 + w. What is the smallest value in 2/5, v, 3, s?
v
Suppose -43 - 13 = 56*f. Which is the second biggest value? (a) 27 (b) f (c) -3 (d) -2/9
d
Let o = -5900 + 5898. Which is the fifth smallest value? (a) -1/5 (b) -1 (c) -5/16 (d) 1/5 (e) o
d
Let m be (-45)/(-15)*((-125)/(-45) + -2). Let u = 4.6 + -1.6. Which is the smallest value? (a) -0.3 (b) u (c) m
a
Let x = 0.05 - -0.2. Let r = 32613 + -32613. Which is the second smallest value? (a) x (b) r (c) -2
b
Let l = -2005/88 - -252/11. What is the third biggest value in l, 0, 15/26?
0
Let f = 684/2443 - -2/349. Let q = -0.07365 + -3.92635. Which is the second smallest value? (a) -0.045 (b) f (c) q
a
Suppose -31*i + 17*i - 42 = 0. Let l = 6 - 5.5. Let y = -3 - -3. What is the third smallest value in i, -0.4, l, y?
y
Let c = -1750 - -5249/3. What is the third smallest value in c, 0, -16/31?
0
Suppose 0 = 45*x - 50*x + 5. Let v be 81/(-2)*16/96 - x. Which is the smallest value? (a) v (b) 4 (c) 0.1
a
Let v be 11/12 + (-11)/44. Suppose -4*p - 87 = -5*h, -5*p = -h + 77 - 26. Which is the second smallest value? (a) h (b) v (c) -4
b
Let u = -5.9 + 37.9. Let h = 33.7 - u. Let m = 1.4 - h. What is the second smallest value in 1, m, 7/3?
1
Let y = 4/159 - 175/636. Let i = -8.67 + 5.67. Suppose 0 = -3*r + 3*t + 21, -2*r - 2*t = 3*r. Which is the third biggest value? (a) 1 (b) i (c) y (d) r
c
Let h be (-1)/(-3)*-2*1. Let u = -9 + 23. Suppose -u*q + 16*q - 14 = 0. What is the second smallest value in q, -2/7, h?
-2/7
Let t = -6215.7 - -6216. Which is the smallest value? (a) 0.1 (b) t (c) -78
c
Let m = -4828 - -4827. What is the fourth biggest value in m, 2, 0.3, 0.026?
m
Let i = -0.3 - -2.3. Let k = 0.069341 + -0.029341. Which is the third smallest value? (a) -4 (b) i (c) 3 (d) k
b
Let z = -545 + 537.34. Let l = -3.66 - z. Which is the third smallest value? (a) -1 (b) -91 (c) l
c
Let x = -35 - -104/3. Let m be 8/150*(-70)/21. Let u = m + -299/90. Which is the third biggest value? (a) u (b) -0.2 (c) x (d) -0.1
c
Let l = -27387/4 - -6847. Which is the second smallest value? (a) 2/7 (b) 0 (c) l (d) 0.1469
d
Let f = -21582.9 - -21583. Let n = -1.92 + -0.08. What is the second biggest value in f, -23, n?
n
Let h be 49/(-10) - 134/(-335). Let l = -6 - -9. Which is the smallest value? (a) 0 (b) h (c) 0.3 (d) l
b
Suppose -3*s + 23 = -4*u, -32*u - 21 = -29*u - s. Which is the third smallest value? (a) -17 (b) u (c) -2
c
Let l = -0.4872 - 0.5128. Which is the fourth biggest value? (a) 0.2 (b) l (c) 0.3 (d) 22
b
Let o = -168 + 233. Let q be (-30)/3*26/o. Which is the second biggest value? (a) q (b) 4 (c) -0.4
c
Let m = 13.614 + -13.114. Which is the third smallest value? (a) -4 (b) m (c) 0.969
c
Let l = 0.0626 + 322.9374. Let r = l + -325. Let w = 0.13 + 4.87. Which is the smallest value? (a) r (b) 0.8 (c) w
a
Let m = -68.5 - 2.5. Let c = -2110 + 2183. Let q = m + c. What is the third smallest value in 0.4, 1, q?
q
Let p = 3664 - 3669. What is the second biggest value in 189, p, 0?
0
Let f = 22.2994 + -1.2994. What is the second smallest value in f, 3, 3/4, 0.2?
3/4
Let h = 0.02047 - 10.02047. What is the fifth biggest value in -1/7, -0.4, -24, 1, h?
-24
Let k = -2801 + 2801.1. Which is the fourth biggest value? (a) k (b) 3 (c) -3 (d) -2/3
c
Let k = -285232 - -2278113/8. Let o = 468 + k. What is the second biggest value in -2, o, -73?
-2
Let n = 35 - -912. Let p = -920 + n. Which is the second smallest value? (a) -0.3 (b) p (c) 0
c
Let m = -1254 - -1253.7. Let i = -403/72 + 47/9. Which is the second smallest value? (a) m (b) i (c) 0 (d) 4
a
Let y = 4939 + -4940.7. Which is the second biggest value? (a) 3/2 (b) 4/7 (c) y
b
Let f be (-18)/(-22) + (-2 - -1). Let r(o) = 8964*o + 152384. Let c be r(-17). What is the biggest value in f, 1, c, -1/3?
1
Let n = -19/3 - -6. Let a = -1.391 - -2.391. What is the third biggest value in n, -0.01, a?
n
Let r = -36 + 36. Suppose 1 = -5*p - q + 11, r = 4*p + q - 7. Let j = 164 - 1637/10. What is the third biggest value in j, -1/2, p?
-1/2
Let j = 569.5 + -415. Let y = 155 - j. Which is the fourth smallest value? (a) 0.1 (b) y (c)
|
{
"pile_set_name": "DM Mathematics"
}
|
, 1506825, 1506584?
1506343
What is the next term in -11960, -24598, -37902, -51872?
-66508
What is the next term in 99068, 100836, 103784, 107912?
113220
What is the next term in 60718, 60689, 60610, 60463, 60230, 59893?
59434
What comes next: 492284, 984593, 1476928, 1969301, 2461724, 2954209?
3446768
What is next in 1104213, 2208414, 3312615, 4416816, 5521017?
6625218
What is next in -1398275, -1398427, -1398579?
-1398731
What is next in 21828, 21383, 20952, 20535?
20132
What is the next term in -8732, -26496, -44258, -62018, -79776, -97532, -115286?
-133038
What comes next: -773, -982, -1287, -1652, -2041, -2418, -2747?
-2992
What is next in -313375, -314348, -315969, -318238?
-321155
What is the next term in -26425, -52807, -79147, -105445?
-131701
What is the next term in -159305, -318612, -477927, -637256, -796605, -955980, -1115387, -1274832?
-1434321
What comes next: -1253353, -2506586, -3759819, -5013052, -6266285?
-7519518
What is the next term in 4259, 29175, 96803, 228497, 445611, 769499, 1221515, 1823013?
2595347
What is next in -59712639, -119425276, -179137913, -238850550?
-298563187
What comes next: 272521, 272542, 272563?
272584
What comes next: 8073, 30636, 68205, 120780, 188361?
270948
What is the next term in 344084291, 344084289, 344084287, 344084285, 344084283, 344084281?
344084279
What comes next: 405680, 811368, 1217054, 1622738?
2028420
What is the next term in 158563, 158499, 158393, 158245?
158055
What is the next term in 6723, 13509, 20377, 27333, 34383, 41533, 48789, 56157?
63643
What comes next: -3545, -3723, -3953, -4235, -4569, -4955, -5393?
-5883
What is the next term in 10668245, 21336488, 32004731?
42672974
What is the next term in 46298, 46034, 45770?
45506
What comes next: 635402922, 635402923, 635402924, 635402925, 635402926?
635402927
What comes next: 3161, 3543, 3925?
4307
What comes next: -12220, -24332, -36444, -48556, -60668?
-72780
What is the next term in -13842624, -13842625, -13842626, -13842627, -13842628, -13842629?
-13842630
What is next in 91898, 102006, 118852, 142436, 172758, 209818?
253616
What is next in -15159, -17820, -20481?
-23142
What is the next term in 6503, 6298, 6089, 5876, 5659?
5438
What is the next term in 4894, 7782, 10668, 13552?
16434
What comes next: -21473668, -21473685, -21473700, -21473713, -21473724?
-21473733
What comes next: 2690, 21464, 72406, 171608, 335162, 579160?
919694
What comes next: 3306, 3058, 2404, 1140, -938, -4034, -8352?
-14096
What comes next: 111149, 111153, 111157?
111161
What is the next term in 1203, -43, -1287, -2529, -3769?
-5007
What is the next term in -358, -1542, -3630, -6706, -10854, -16158, -22702?
-30570
What comes next: 13000, 26057, 39188, 52399, 65696, 79085?
92572
What comes next: -1077, -1222, -1383, -1560, -1753, -1962, -2187?
-2428
What is next in 35884, 71888, 108066, 144424, 180968, 217704, 254638?
291776
What is next in 8141, 65376, 220927, 524018, 1023873?
1769716
What is next in 767160, 3068669, 6904510, 12274677, 19179164?
27617965
What comes next: 389199, 387598, 385997, 384396?
382795
What comes next: -7106, -57337, -194042, -460571, -900274, -1556501, -2472602?
-3691927
What comes next: -260, -487, -862, -1409, -2152, -3115, -4322?
-5797
What is next in -809762, -809747, -809724, -809693, -809654?
-809607
What is the next term in -39800085, -79600174, -119400267, -159200364, -199000465, -238800570?
-278600679
What is the next term in -13252143, -26504280, -39756413, -53008542?
-66260667
What is the next term in 127618, 127697, 127836, 128041, 128318, 128673, 129112, 129641?
130266
What is next in 1094, 4661, 10602, 18917, 29606?
42669
What is next in 10205676, 10205670, 10205660, 10205646, 10205628, 10205606, 10205580?
10205550
What is the next term in -76067021, -76067019, -76067017, -76067015, -76067013, -76067011?
-76067009
What is the next term in 11052670, 22105326, 33157956, 44210548, 55263090, 66315570, 77367976?
88420296
What is next in 157885, 631548, 1420987, 2526202, 3947193, 5683960?
7736503
What comes next: -438739, -1754645, -3947821, -7018267?
-10965983
What comes next: -34007, -135833, -305541, -543137, -848627, -1222017?
-1663313
What is the next term in -1647, -6703, -15087, -26799?
-41839
What is next in 71842, 287449, 646838, 1150021, 1797010, 2587817?
3522454
What comes next: 2249805, 4499656, 6749507, 8999358?
11249209
What is next in -1728, -1582, -1272, -762, -16, 1002, 2328, 3998?
6048
What is next in -693, -1679, -3173, -5163, -7637?
-10583
What is the next term in -1846, -14386, -48402, -114628, -223798, -386646?
-613906
What is the next term in 112, 240, 314, 220, -156?
-928
What comes next: -674673, -1349321, -2023971, -2698623, -3373277, -4047933, -4722591?
-5397251
What is next in 697276, 697233, 697128, 696931, 696612?
696141
What is the next term in -12358, -23576, -34796, -46018, -57242, -68468?
-79696
What is the next term in 959, -274, -1505, -2734, -3961, -5186, -6409?
-7630
What is next in 12160, 12235, 12432, 12811, 13432, 14355, 15640?
17347
What is next in -81911, -265436, -571311, -999536, -1550111, -2223036, -3018311?
-3935936
What is next in 37014, 74050, 111086?
148122
What is next in -75760, -75938, -76116, -76294, -76472?
-76650
What is the next term in 49789, 98299, 144251, 186367, 223369?
253979
What is the next term in -5710090, -11420128, -17130166, -22840204, -28550242, -34260280?
-39970318
What is next in -11049, -19827, -28605, -37383?
-46161
What comes next: -145859, -145836, -145813?
-145790
What is next in -227653, -228236, -228819, -229402, -229985?
-230568
What is the next term in -70335, -562739, -1899271, -4501995, -8792975?
-15194275
What is next in 2383, 2133, 1883, 1633, 1383, 1133?
883
What comes next: 86072, 344296, 774650, 1377122, 2151700, 3098372?
4217126
What comes next: 215, -2726, -7629, -14488, -23297?
-34050
What comes next: -23667, -23547, -23343, -23013, -22515, -21807?
-20847
What is next in -2549, -6753, -10957, -15161, -19365, -23569?
-27773
What comes next: -59146183, -59146181, -59146179, -59146177?
-59146175
What is next in -369, -850, -1623, -2784, -4429, -6654?
-9555
What comes next: 38914, 39115, 39316, 39517?
39718
What is the next term in 115315, 231232, 347151, 463072, 578995, 694920, 810847?
926776
What comes next: -562, -965, -1984, -3925, -7094, -11797, -18340, -27029?
-38170
What comes next: 94289, 188533, 282777, 377021, 471265, 565509?
659753
What is next in -1655, -6747, -15271, -27227, -42615, -61435, -83687?
-109371
What is next in -1247, -2616, -4201, -6110, -8451, -11332?
-14861
What is next in 8748, 69703, 235506, 558693, 1091800, 1887363?
2997918
What comes next: -591, -5041, -17027, -40323, -78703, -135941?
-215811
What is next in -151511, -302954, -454333, -605654, -756923, -908146?
-1059329
What comes next: -4286, -34332, -115896, -274736, -536610?
-927276
What is next in -1490525, -2981136, -4471833, -5962616, -7453485, -8944440?
-10435481
What is next in -63212, -125365, -187518, -249671?
-311824
What is the next term in 5845, 13749, 21643, 29521, 37377, 45205?
52999
What is next in -1202, -2210, -2808, -2792, -1958?
-102
What is the next term in -225, -613, -953, -1251, -1513, -1745, -1953, -2143?
-2321
What is the next term in -10146, -14475, -26256, -49215, -87078, -143571, -222420, -327351?
-462090
What comes next: -3093569, -3093561, -3093553, -3093545?
-3093537
What is next in 1824443, 1824430, 1824405, 1824368, 1824319, 1824258?
1824185
What is next in 82, 346, 916, 1906, 3430, 5602, 8536?
12346
What is the next term in -8613, -34331, -77155, -137085, -214121?
-308263
What is next in 2264, 398, -1574, -3658, -5860, -8186, -10642, -13234?
-15968
What is next in -34890, -44434, -53980, -63528, -73078?
-82630
What is the next term in 132, -2830, -7768, -14682?
-23572
What comes next: -42652, -47418, -60366, -85588, -127176, -189222, -275818?
-391056
What is next in -8437877, -8437973, -8438069?
-8438165
What comes next: 1458, 11458, 38626, 91548, 178810, 308998, 490698?
732496
What is the next term in -836, -1778, -3132, -4898?
-7076
What comes next: -239923118, -239923117, -239923116, -239923115, -239923114?
-239923113
What is the next term in 2163, -4418, -10999, -17580?
-24161
What is the next term in 962874
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the third biggest value in -1/2, 9, -18, -1/6?
-1/2
Which is the fourth biggest value? (a) -4.076 (b) -0.2 (c) 2 (d) 2/5
a
Which is the third smallest value? (a) -4/3 (b) -2 (c) -227/6 (d) -0.04 (e) -0.1
a
Which is the fourth smallest value? (a) -5 (b) -85 (c) -1.2 (d) -2 (e) -0.3
c
What is the biggest value in 42, -3/2, -0.169?
42
Which is the second biggest value? (a) 2.9 (b) -4 (c) -69 (d) 3
a
Which is the third smallest value? (a) 4/5 (b) 124 (c) -4.7 (d) -4/7
a
Which is the third smallest value? (a) -4 (b) -0.5 (c) -0.06 (d) 0.1 (e) 0.4 (f) 1/543
c
What is the biggest value in -0.1, -97, -6/5, -136?
-0.1
Which is the fourth biggest value? (a) -2/15 (b) 0.1 (c) 2/5 (d) 128
a
Which is the fourth smallest value? (a) -1/5 (b) -2/17 (c) 100 (d) -1
c
What is the biggest value in 1/2, 1/4, -3/4, 392?
392
What is the second smallest value in 0.2043, 0.27, 2/5?
0.27
Which is the second biggest value? (a) 14 (b) 2/13 (c) -37 (d) -3
b
What is the third smallest value in 0.07, 0.3, -31558?
0.3
What is the second smallest value in -0.46, 5/8, 3?
5/8
Which is the second biggest value? (a) 2 (b) -5 (c) -3.103
c
Which is the third smallest value? (a) -18761 (b) 2/9 (c) -1/6
b
What is the smallest value in 0.0887, -4, 0.05?
-4
Which is the fourth smallest value? (a) -3 (b) -2 (c) -2/7 (d) -4 (e) -1437
b
Which is the third smallest value? (a) 0.08 (b) 12 (c) -5 (d) 1/4876
a
What is the smallest value in -3/2, -4/3, -0.2, 1/11?
-3/2
Which is the third biggest value? (a) -4 (b) 0 (c) 0.13 (d) 38
b
What is the second smallest value in 1626, 4, 0.7?
4
What is the smallest value in -9/4, 1/2, 5, -1/24, 1/20, -1/2?
-9/4
What is the fourth smallest value in -0.08, -4, 5, 2, 684, -0.3?
2
What is the smallest value in 2/39, 1/132, 24?
1/132
Which is the fourth smallest value? (a) 4 (b) 1622 (c) 3 (d) 5 (e) 0.5 (f) -5
a
What is the biggest value in -1, 1791.85, -0.2?
1791.85
Which is the smallest value? (a) -4 (b) 10 (c) -0.6 (d) 36
a
What is the third smallest value in 5, -2/13, 924?
924
What is the smallest value in 159, 22/9, 0.01?
0.01
Which is the third smallest value? (a) 3 (b) 1 (c) -7271 (d) 12/13 (e) -0.2
d
What is the smallest value in -279, 1/16, 94?
-279
What is the second biggest value in -4, 1/5, -2.43?
-2.43
Which is the fourth smallest value? (a) 7 (b) -10 (c) -0.4 (d) -6
a
What is the sixth biggest value in 2/5, -2, -4, -1/12, 2/3, -388?
-388
Which is the biggest value? (a) 0 (b) -1/6 (c) 750 (d) -1
c
Which is the second smallest value? (a) 2756 (b) 8 (c) -5
b
What is the fourth smallest value in -4, 0.02, 1/5, -2, -609?
0.02
What is the third biggest value in -4, -1/6, -0.3, -118/43, -4/9?
-4/9
Which is the second biggest value? (a) 0.01 (b) 0.3 (c) -0.5 (d) -0.048
a
Which is the third biggest value? (a) -1195 (b) 1 (c) 17
a
What is the fourth smallest value in 0.03797, 0.06, 2, 4/7, 0?
4/7
What is the sixth smallest value in 5, 3, 1, -2/3567, -4, -0.4?
5
What is the second biggest value in 12, -2/11, -396, 5?
5
Which is the smallest value? (a) 0.9 (b) 676 (c) 3
a
Which is the fifth smallest value? (a) 0.2 (b) -0.3 (c) 1/2 (d) 3/640 (e) 1
e
Which is the third biggest value? (a) -2 (b) -10.66 (c) 4 (d) -0.1
a
Which is the third smallest value? (a) 0.049 (b) -5 (c) 0.045087
a
Which is the third biggest value? (a) 4 (b) 2 (c) 1/20 (d) 1 (e) 2077
b
What is the fifth biggest value in -1, -5, 0.5, -16/7, -0.2?
-5
Which is the biggest value? (a) -2 (b) 21 (c) -4 (d) -452
b
What is the biggest value in 2/11, -1, 2/241, 0.1, -4?
2/11
Which is the second smallest value? (a) 0 (b) -186 (c) -3/7 (d) 1/3 (e) 0.5
c
Which is the third biggest value? (a) 0.12 (b) 2 (c) 10/7 (d) -0.05
a
What is the smallest value in 1, -0.3, 154, -2/3?
-2/3
Which is the third smallest value? (a) -2/29 (b) -0.588 (c) 2 (d) -3
a
Which is the second smallest value? (a) 19 (b) 2/5 (c) 2/3 (d) -0.3 (e) 0.872
b
What is the fifth smallest value in 2/11, 8, -1/2, 3/5, -15, -3/46?
3/5
Which is the biggest value? (a) 3 (b) -29558.9 (c) -2/3
a
What is the third smallest value in -3, 1/3, 2.2, 11?
2.2
Which is the second smallest value? (a) 925 (b) -24 (c) 3 (d) 3/7
d
Which is the second biggest value? (a) 1 (b) -5 (c) 5/1813 (d) 5 (e) -0.03
a
Which is the second smallest value? (a) 3/7 (b) -28 (c) -0.7 (d) 2/21 (e) -2/11
c
What is the third biggest value in 2, -1, 3/4, -1/7, -1035/2?
-1/7
Which is the second biggest value? (a) 190 (b) -2 (c) -4 (d) -5 (e) -1
e
Which is the fourth biggest value? (a) -3/5 (b) 9 (c) 4 (d) -169
d
What is the fourth smallest value in -4, 1/10, -5, 3/5, -12.5, -1/10?
-1/10
What is the fifth smallest value in -12, 464, -5, -0.5, 0?
464
What is the biggest value in -0.049, 0.1, 4, -24?
4
What is the third smallest value in -6, -3, -10795?
-3
Which is the fourth smallest value? (a) 0.1 (b) -42/25 (c) 4 (d) -4 (e) 2 (f) 102/43
e
What is the second smallest value in 0, 0.6, 2/631?
2/631
What is the second smallest value in -64, -0.4, -61?
-61
What is the fifth smallest value in 2/9, -0.2, -1/2, 13, 1/6?
13
What is the smallest value in -0.4, -3/4, -6/77, -4?
-4
What is the third biggest value in -23, -1.072, -2/13?
-23
Which is the biggest value? (a) -40 (b) 4 (c) -0.4 (d) -33/7
b
Which is the biggest value? (a) -3 (b) -18 (c) 67
c
What is the sixth smallest value in 2, 4, -0.25, -0.09, -1, 6?
6
What is the biggest value in -1, -0.11, 0.05, 208, -5?
208
What is the fourth biggest value in 11, -0.09, -255, -3/8?
-255
Which is the third biggest value? (a) -3/17 (b) 235 (c) 2
a
What is the fourth biggest value in 57, -0.07, -4, 0.6, 0.4?
-0.07
Which is the fourth smallest value? (a) 6 (b) -4 (c) -2 (d) 6/5 (e) -0.2 (f) -11
e
Which is the third smallest value? (a) 0.347 (b) -4 (c) -3 (d) 28 (e) -0.4 (f) 2
e
What is the sixth biggest value in 12, 2/43, -1/6, -3/5, -0.5, -0.07?
-3/5
What is the fifth biggest value in 3, 2, 0.459, -1/8, -2/9, 2/37?
-1/8
Which is the fourth smallest value? (a) 2/21 (b) 6 (c) 5 (d) 1/7 (e) 1/2 (f) -0.4
e
What is the fourth biggest value in -1.8, 0, -139, -10, 3, -0.2?
-1.8
What is the fourth smallest value in -2/7, -1/3, 0.6, -6, -2, -2/5?
-1/3
What is the fifth smallest value in -3, -82, -4, 0.6, 0?
0.6
Which is the second biggest value? (a) 6/13 (b) -0.036222 (c) -4/7
b
What is the smallest value in 776, -11, -2/5, -5?
-11
What is the third smallest value in -2/139, 1008, -3?
1008
What is the fourth smallest value in -0.4, 2/7, 29, 3/19?
29
What is the third smallest value in 3/8, -2.88, 25?
25
What is the smallest value in 0.05, 4, -4/21, 0.4?
-4/21
Which is the fourth biggest value? (a) 0.3 (b) -0.4 (c) 1/5 (d) 254 (e) 2 (f) -5
c
Which is the fourth smallest value? (a) 2/15 (b) -0.4 (c) 5 (d) -2/20803 (e) -1
a
Which is the second biggest value? (a) -2 (b) 466 (c) -1
c
What is the second smallest value in -2/9, 30/11, 0.01, 1/6?
0.01
Which is the fifth smallest value? (a) -5 (b) 0.03 (c) 5/2 (d) 1/10 (e) 5 (f) 14
e
What is the second biggest value in 350, -3, 2/13, 21, -1?
21
What is the fourth biggest value in 2, 8/5, 0.4, -49?
-49
Which is the fourth smallest value? (a) -143 (b) 312 (c) -0.4 (d) -1/8
b
Which is the biggest value? (a) 613 (b) -1532 (c) 5
a
Which is the third smallest value? (a) -13 (b) 0.08 (c) -2180
b
Which is the second smallest value? (a) -2/3 (b) 0.14 (c) -180
a
Which is the biggest value? (a) 3 (b) 1.9 (c) -5 (d) -2/9 (e) 10
e
Which is the biggest value? (a) -0.06 (b) 6 (c) -9 (d) -5 (e) 0.2
b
What is the second smallest value in -4/363, 5, -2/5, 7, -2/11, 0.4?
-2/11
Which is the sixth smallest value? (a) -37 (b) 31 (c) -2/15 (d) 5 (e) -0.1 (f) -2
b
Which is the fourth biggest value? (a) 29 (b) -0.9 (c) 0 (d) 2
b
What is the second biggest value in 2/83, 1, 31, -5/4, 3?
3
Which is the sixth biggest value? (a) -4/5 (b) -1.416 (c) 4 (d) 1/3 (e) 3 (f) 0.5
b
What is the second smallest value in -95830, 0.1, -2, 2/11?
-2
Which is the third biggest value? (a) 23 (b) -0.2 (c) -155
c
Which is the third smallest value? (a) 4 (b) -0.2 (c) -0.028 (d) 281
a
Whic
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 9619*q**2 - 5826*q**2.
3*q**2
Collect the terms in 3 + 116*y + 99*y + 6 - 16.
215*y - 7
Collect the terms in 1 + 26*a**2 - 67*a**2 + 9*a**2 + 0 + 22*a**2.
-10*a**2 + 1
Collect the terms in 64289*y**2 + 1 + 64292*y**2 - 128581*y**2 - 7*y**3.
-7*y**3 + 1
Collect the terms in 14*r**2 - 7162*r - 3*r**2 - 6*r**2 - r**2 + 7162*r.
4*r**2
Collect the terms in -33100 + 68*m**2 + 33100.
68*m**2
Collect the terms in -3*p + 324 + 341 - 665.
-3*p
Collect the terms in -326*c**2 - 483*c**2 - 355*c**2.
-1164*c**2
Collect the terms in -55 + 130 + 2*b**3 - 30*b - 75.
2*b**3 - 30*b
Collect the terms in 8*d**2 + 3*d**2 - 22*d**2 + 9*d**2 + 219 - 285.
-2*d**2 - 66
Collect the terms in 2*q + 917*q**2 - 490*q**2 - 443*q**2.
-16*q**2 + 2*q
Collect the terms in 0 + 30883*g + 0 + 30888*g - 61774*g.
-3*g
Collect the terms in 1209*c - 510*c + 1195*c - 93*c.
1801*c
Collect the terms in 3801*z**3 + 8*z**2 - 8*z**2 + 3509*z**3 - 7311*z**3.
-z**3
Collect the terms in -12*p - 5*p - 2 - 244 - 120 + 18*p.
p - 366
Collect the terms in 17*j - 547 - 254 + 96.
17*j - 705
Collect the terms in 373 + 15*y**2 - 8*y**2 - 9*y**2.
-2*y**2 + 373
Collect the terms in 2*g - 91 + 171 - 70.
2*g + 10
Collect the terms in 21*m + 21*m - 157*m.
-115*m
Collect the terms in -829882*i**2 + 1659735*i**2 - 829860*i**2.
-7*i**2
Collect the terms in 614 + 651 + 7*l - 3*l - 1265.
4*l
Collect the terms in -172*b**2 - 29*b + 29*b + 1057 - 1057.
-172*b**2
Collect the terms in -277*h - 327*h + 155*h.
-449*h
Collect the terms in -4264*u**3 - 4299*u**3 + 8443*u**3.
-120*u**3
Collect the terms in -1039*r**3 + 1043*r**3 - 6*r + 5*r + r.
4*r**3
Collect the terms in 3 - 11*n + 4*n + 4*n + 7 - 13.
-3*n - 3
Collect the terms in -4029777 + 4029777 + 6*v.
6*v
Collect the terms in 439 - 906 + 467 + 43*s - 80*s + 39*s.
2*s
Collect the terms in -392 - 391 - 395 + 203*m + 1178.
203*m
Collect the terms in -18927*w**2 + 18173*w**2 + 0 + 0.
-754*w**2
Collect the terms in -170*q**2 - 215*q**2 + 380*q**2.
-5*q**2
Collect the terms in -416*z**3 - 1903 + 1903.
-416*z**3
Collect the terms in 6 - 14*a + 4*a + 8*a - 6.
-2*a
Collect the terms in -7277*o + 7277*o + 40*o**2.
40*o**2
Collect the terms in -15*k - 45*k + 104*k - 45*k.
-k
Collect the terms in 2069*s**3 - 78 - 47 + 125.
2069*s**3
Collect the terms in -4*c - 6792541908 + 6792541908.
-4*c
Collect the terms in -8*y - 573*y**3 + 11*y - 3*y.
-573*y**3
Collect the terms in 40 - 40 - 280*b - 92*b.
-372*b
Collect the terms in 7385*l + 1 + 0 - 1.
7385*l
Collect the terms in 10*s**3 + 345*s**3 - 1 + 4.
355*s**3 + 3
Collect the terms in -843731 + 843731 - 68*s.
-68*s
Collect the terms in 450*b + 460*b + 454*b - 2260*b + 895*b.
-b
Collect the terms in 41683*x - 83336*x + 41655*x.
2*x
Collect the terms in -401*i + 205*i - i**2 + 196*i - 40.
-i**2 - 40
Collect the terms in 6 + 2*x**2 + 2*x - 44*x**2 + 13.
-42*x**2 + 2*x + 19
Collect the terms in 5*h**2 + 12*h**2 - 8*h**2 + 27 - 11*h**2.
-2*h**2 + 27
Collect the terms in 10*h**3 - 349*h**2 - 11*h**3 + 71 + 68 - 141.
-h**3 - 349*h**2 - 2
Collect the terms in -85245895 - 7*a + 85245895.
-7*a
Collect the terms in -588*c**2 - 6*c**2 - 57*c**2 - 52*c**2.
-703*c**2
Collect the terms in -2949*d**2 + 2215*d**2 + 0*d + 0*d.
-734*d**2
Collect the terms in -78 + 78 + 4368*v**3.
4368*v**3
Collect the terms in 51*q**3 - 93*q**2 - 72*q**2 + 165*q**2.
51*q**3
Collect the terms in -23*y**3 - 21*y**3 + 14*y**3 - 148*y + 148*y + 31*y**3.
y**3
Collect the terms in 97*y - 9*y - 85*y.
3*y
Collect the terms in -1140 + 163*c**2 - 1141 + 2281.
163*c**2
Collect the terms in 2*d - 2*d + 412453*d**2.
412453*d**2
Collect the terms in -1053 + 3172 + 5*x - 1064 - 1055 + 0*x.
5*x
Collect the terms in 26104 - 26*h**3 + 26106 - 32*h**3 + 26109 - 78319.
-58*h**3
Collect the terms in u + 2*u**2 - 3*u**2 - 24*u**2 - 36*u**2 + 10*u**2.
-51*u**2 + u
Collect the terms in -24*x + 49*x - 25*x - 27*x - 17*x.
-44*x
Collect the terms in 636 - 214 + 10*t - 210 - 212.
10*t
Collect the terms in -400*n - 379*n + 779*n - 3*n**2.
-3*n**2
Collect the terms in -k + 14*k + 22*k - 42*k + 19*k.
12*k
Collect the terms in 9*s**2 - 125*s**3 + 3*s**2 + 124*s**3.
-s**3 + 12*s**2
Collect the terms in 85 - 678*r**2 + 1351*r**2 - 671*r**2.
2*r**2 + 85
Collect the terms in 202263*r + 13004 - 202266*r - 13004.
-3*r
Collect the terms in 62*x**3 + 38*x**3 + 46*x**3 - 151*x**3.
-5*x**3
Collect the terms in -757*o - 762*o + 2273*o - 756*o.
-2*o
Collect the terms in -2*k**2 + 5501*k + 3*k**2 + 1 + 876*k.
k**2 + 6377*k + 1
Collect the terms in 77140*u**2 - 25711*u**2 - 25726*u**2 - 25701*u**2.
2*u**2
Collect the terms in -38*t**2 - 10*t**2 - 49*t**2 - 22*t**2 + 25*t**2.
-94*t**2
Collect the terms in -3*x**3 + 3265876*x - 1632940*x - 1632936*x.
-3*x**3
Collect the terms in 3975*c**2 + 18*c - 16*c**3 - 3975*c**2 + 15*c**3.
-c**3 + 18*c
Collect the terms in -5 - 866*f**2 + 1 + 1 + 854*f**2.
-12*f**2 - 3
Collect the terms in 71 - 303 - 354 - 2*n - 122.
-2*n - 708
Collect the terms in -1468*x**2 + 2870*x**2 - 1441*x**2.
-39*x**2
Collect the terms in 7*n - 3*n**2 - 5 + 5 - 8*n + 5*n.
-3*n**2 + 4*n
Collect the terms in 263*w**2 - 56*w**2 - 58*w**2 - 90*w**2 - 9*w - 61*w**2.
-2*w**2 - 9*w
Collect the terms in -172*h**3 + 478*h**3 + 772*h**3 - 171*h**3 + 1025*h**3.
1932*h**3
Collect the terms in 31*m - 23*m**3 + 45*m**3 - 26*m**3 - 10*m.
-4*m**3 + 21*m
Collect the terms in 81*z**2 - 198*z**2 + 72*z**2 + 62*z**2.
17*z**2
Collect the terms in -150*s - 147*s + 437*s - 142*s.
-2*s
Collect the terms in 4032*o**2 + 3300*o**2 - 1111*o**2.
6221*o**2
Collect the terms in -72*j**2 - 1071*j**3 - 634*j**3 + 72*j**2.
-1705*j**3
Collect the terms in -4*x - 43*x**3 + 4*x - 49*x**3 - 43*x**3 + 124*x**3.
-11*x**3
Collect the terms in 515*k + 515*k - 1016*k.
14*k
Collect the terms in -106*z + 50*z + 48*z**2 - 47*z**2 + 56*z.
z**2
Collect the terms in 19*y**2 + 5*y**2 - 16*y**2 - 17*y**2.
-9*y**2
Collect the terms in -3 + 154577*h**2 + 3 - 154580*h**2.
-3*h**2
Collect the terms in -26352*t + 52719*t - 26251*t.
116*t
Collect the terms in -110*j - 6*j**2 + 53*j + 53*j.
-6*j**2 - 4*j
Collect the terms in 46 + 44 + 61 - 151 + 14*t.
14*t
Collect the terms in 3*m**3 - 2*m**3 - 7113*m**2 + 7113*m**2.
m**3
Collect the terms in -608971*d + 2 + 608971*d - 4*d**3 - 2.
-4*d**3
Collect the terms in 3*j - 96 + 61 - 136 - 2*j.
j - 171
Collect the terms in -354*s**2 - 656*s**2 - 809*s**2.
-1819*s**2
Collect the terms in 299*d + 293*d + 307*d - 1189*d + 303*d.
13*d
Collect the terms in 4961*n - 374*n - 20*n + 434*n.
5001*n
Collect the terms in -43*k**3 - 57*k**3 + 218*k**3 - 55*k**3.
63*k**3
Collect the terms in 162 - 34*i**2 - 38 - 69 - 55.
-34*i**2
Collect the terms in -2*w**3 - 368*w + 124*w - 1 + 144*w.
-2*w**3 - 100*w - 1
Collect the terms in 164*c**3 - 637*c**3 - 104*c**3 - 92*c**3.
-669*c**3
Collect the terms in -5457*i**2 - 4 - 6590*i**2 + 4.
-12047*i**2
Collect the terms in 25552*m + 25586*m - 51135*m.
3*m
Collect the terms in 1863*x**2 - 934*x**2 - 932*x**2.
-3*x**2
Collect the terms in -2490*x - 2491*x - 2487*x + 7466*x.
-2*x
Collect the terms in -4454*m - 7551*m - 606*m.
-12611*m
Collect the terms in 55*c - 5*c - 1 - 39*c.
11*c - 1
Collect the terms in -72*h**3 + 42*h**3 + 0 - 1 - 5*h**2 + 5*h**2.
-30*h**3 - 1
Collect the terms in 22*t**3 + 2*t**3 - 33*t**3.
-9*t**3
Collect the terms in -639 + 342 + 5*c**3 + 297.
5*c**3
Collect the terms in -752*d - 276*d + 1026*d.
-2*d
Collect the terms in 263*g**3 + 8 - 3 - 14*g**3.
249*g**3 + 5
Collect the terms in -15546*t**3 - 15555*t**3 - 15556*t**3 + 62210*t**3 - 15552*t**3.
t**3
Collect the terms in -31*p**2 + 53*p**2 - 51*p**2 - 50*p**2 - 46*p**2.
-125*p**2
Collect the terms in -34 + 3*c**3 - 165 + 365 - 166.
3*c**3
Collect the terms in 147*m + 152*m + 297*m.
596*m
Collect the terms in -811*c**3 + 495*c**3 + 416*c**3.
100*c**3
Collect the terms in 201*y - 1176*y**2 + 2363*y**2 - y**3 - 1187*y**2.
-y**3 + 201*y
Collect the terms in 420*a**3 + a**2 - 421*a**3 + 19*a**2.
-a**3 + 20*a**2
Collect the terms in -25 + 2*g - 8*g - 21*g**3 + 0*g + 6*g.
-21*g**3 - 25
Collect the terms in -167*f**3 + 91*f**3 - f + 345*f**3.
269*f**3 - f
Collect the terms in 13*s + 0 - 1 - 20*s - 11.
-7*s - 12
Collect the terms in -2 + 1776*v**2 + 0 + 2.
1776*v**2
Collect the terms in -44*r - 19*r - r**3 + 3 - 3.
-r**
|
{
"pile_set_name": "DM Mathematics"
}
|
-40325.6
Work out -0.0123 * 5.435.
-0.0668505
What is -0.17 times -6.4184?
1.091128
Calculate -97.87*-0.075.
7.34025
Product of -0.234 and 0.42.
-0.09828
What is the product of 1733849 and -0.2?
-346769.8
Work out -12 * 4142.
-49704
What is -2 times -10146?
20292
Calculate 2*3698.
7396
What is -0.1 times -1213?
121.3
Calculate 0.12*1.8359.
0.220308
What is 0.1 times -171505?
-17150.5
What is -68935 times -0.1?
6893.5
What is -619580.2 times 0.1?
-61958.02
-0.384528*-0.3
0.1153584
-0.0414 times 15
-0.621
0.3 times -1374677
-412403.1
3128 * -7
-21896
5.057 * 97
490.529
Product of 1.1133 and 52.
57.8916
-3*15104.4
-45313.2
10.506 * 11
115.566
What is 31113 times -0.079?
-2457.927
What is the product of 0.0971 and -385?
-37.3835
Multiply -0.07 and 4792.
-335.44
-18822*49
-922278
Product of -49.355 and 0.2.
-9.871
What is 141.7 times -15?
-2125.5
Calculate -0.5*517.9.
-258.95
What is 1 times 97287?
97287
What is the product of 2066 and 607?
1254062
Work out -0.01 * 49.7.
-0.497
Work out 2.996 * 3.
8.988
Calculate 1.49156*0.1.
0.149156
Multiply -169600 and -1.
169600
1900*231
438900
-0.09221 * -0.06
0.0055326
Multiply 1 and -1979.6.
-1979.6
What is 491.6 times -1.5?
-737.4
What is 1 times 20322?
20322
-0.25575*0
0
What is the product of -0.5 and -20990?
10495
Multiply -17.07 and -1.
17.07
Product of -38710 and -2.
77420
Work out -1609 * -75.
120675
0.5 times 170361
85180.5
Multiply -0.1 and -0.102111.
0.0102111
-93606 times -0.2
18721.2
Multiply 2.5 and -1056.8.
-2642
Work out 2.972 * -22.
-65.384
What is the product of -5343 and 2?
-10686
What is 200 times 0.316?
63.2
3.18 times -6.89
-21.9102
What is 250.865 times -3?
-752.595
3.74 times 10816
40451.84
What is the product of -337 and -133?
44821
3 times -0.10725
-0.32175
Calculate 5507*-0.34.
-1872.38
0 * 720
0
-0.13 * -4022.9
522.977
-1235.28*0.55
-679.404
Multiply 744344 and -4.
-2977376
What is 513896 times -0.3?
-154168.8
-203 * -45
9135
Calculate 0.34067*0.
0
Multiply 187 and 3355.
627385
What is -0.22 times -1.0884?
0.239448
-11.4 * -804
9165.6
-2.7 times 158.9
-429.03
-1.3 * 1860
-2418
-247962 * -0.4
99184.8
Product of -145721 and 0.
0
What is 414.8 times -0.75?
-311.1
What is the product of -280 and 0.22?
-61.6
26 * 63.16
1642.16
What is the product of -0.01 and 63?
-0.63
-2.46 * -20.75
51.045
What is the product of -3.2823 and 42?
-137.8566
2 * -11359
-22718
5281 times 4.38
23130.78
-25380 times -28
710640
-390.5 times 0.2
-78.1
What is the product of 12503 and -1.09?
-13628.27
809880 times -0.4
-323952
-1 * 0.223867
-0.223867
Product of -2.7895 and 0.5.
-1.39475
0.25948 * -0.17
-0.0441116
What is the product of 149365 and 0.03?
4480.95
Multiply 3.31416 and -0.3.
-0.994248
Work out -550330 * 0.6.
-330198
-441*0.58
-255.78
Product of -0.359891 and 0.2.
-0.0719782
1268497 times -0.4
-507398.8
What is -2230 times -60.4?
134692
Product of 46 and -16746.
-770316
What is 0.05675 times -0.1?
-0.005675
Work out -3 * -456.94.
1370.82
What is -2292 times -147?
336924
Product of 2275.5 and 8.
18204
-48702 * 5
-243510
66 * -11.6
-765.6
What is -351 times -86?
30186
Product of 0.5 and -276755.
-138377.5
What is the product of -2 and -43738?
87476
Work out -7.1 * 80.4.
-570.84
649.03 times -9
-5841.27
0.135137 times 1
0.135137
Multiply 30 and -1.4626.
-43.878
Multiply -2 and 6.61.
-13.22
Calculate -63.42*0.
0
131 * 0.01
1.31
What is -52 times 17.07?
-887.64
Calculate 3755*291.
1092705
-107467 * -3
322401
-2*-38.783
77.566
Calculate 0.06*0.28047.
0.0168282
0.03416*-0.16
-0.0054656
Product of 1557 and -351.
-546507
Calculate -42*-11729.
492618
Multiply -55.92 and 404.
-22591.68
What is the product of -3 and 38909?
-116727
Product of -1.5941 and 0.27.
-0.430407
-8388.73 times -0.3
2516.619
What is -3 times 66.704?
-200.112
What is the product of -0.3 and 7897?
-2369.1
Work out -1 * -8494.
8494
What is -61 times 38581?
-2353441
-36751 * 0.22
-8085.22
What is -878 times 0.435?
-381.93
-18987*-5
94935
Calculate 0.04325309*-0.3.
-0.012975927
Multiply -4816 and 130.
-626080
Multiply -0.138 and 1439.
-198.582
What is 1712270 times 0.2?
342454
-2*-169630
339260
Calculate -34.6*-24.05.
832.13
Work out -41.87 * -21.
879.27
Calculate -0.2*-161485.
32297
Calculate -39774*3.
-119322
Work out 1.22 * 2090.
2549.8
-20.32 times 58
-1178.56
Work out -157.8 * 12.6.
-1988.28
Work out 0.17 * 54458.
9257.86
Work out 958847 * -0.5.
-479423.5
What is 0.082888 times -0.9?
-0.0745992
-20245*0.05
-1012.25
Calculate 3.2*1213.
3881.6
Work out -5 * 106437.
-532185
What is the product of 44436 and -0.6?
-26661.6
Calculate -2115*-20.
42300
Product of -0.87 and -1983.
1725.21
Work out 1 * 1835.91.
1835.91
1063 * -33
-35079
Product of -11443 and 438.
-5012034
Work out -167 * -916.
152972
Work out 0.044892 * -2.2.
-0.0987624
Product of 0.2 and -28683.
-5736.6
What is 0.08 times -234.4?
-18.752
-887885 * 0.07
-62151.95
0.36*1302
468.72
Work out 164.87 * 0.
0
Calculate -0.0424*0.03.
-0.001272
Multiply -42386 and 33.
-1398738
-1 * -18592
18592
Product of -9639 and 25.
-240975
-0.758*60.9
-46.1622
What is -0.0472176 times 1?
-0.0472176
-84813*0.4
-33925.2
Multiply -1.1 and 465905.
-512495.5
What is the product of 0.01 and -172362?
-1723.62
Multiply -2.9 and 1.57.
-4.553
116145 times -0.2
-23229
-0.9306*-18
16.7508
What is 13162 times -185?
-2434970
-24 * -0.47108
11.30592
Product of -0.12 and 2970.
-356.4
1786 times -0.06
-107.16
Work out -0.062 * -2.33.
0.14446
Multiply 318 and -244.
-77592
0.347 * -3.18
-1.10346
Product of -6 and -21.612.
129.672
Multiply 1042 and 8.2.
8544.4
Multiply -0.9 and 356.3.
-320.67
Multiply -3.86 and -781.
3014.66
Multiply -0.1 and 14436.
-1443.6
Calculate -3*11356.13.
-34068.39
-213.79 times -49
10475.71
Product of -0.18487 and -0.23.
0.0425201
What is 0.08 times -0.11736?
-0.0093888
Product of -0.024978 and 5.
-0.12489
Calculate -19*-0.822.
15.618
Product of -87.414 and 0.1.
-8.7414
32163 times -0.4
-12865.2
0.5*-5760
-2880
0.5 * 61481
30740.5
Product of 49.5407 and -5.
-247.7035
Work out -27909 * -14.
390726
3 times 14.865
44.595
Multiply -52531 and -0.3.
15759.3
Multiply 6278 and 104.
652912
-3 * 4162.2
-12486.6
-0.4 times 742
-296.8
-511146*-0.4
204458.4
Work out 19 * 2657.
50483
Product of 0.5 and 271045.
135522.5
Calculate -159*-108.
17172
54329*3
162987
392*-0.3
-117.6
Multiply 78.72 and 0.17.
13.3824
Work out 45817 * -6.
-274902
Calculate 6753*5.
33765
-0.1 times 9489
-948.9
0.05 times -1.089
-0.05445
172 * 190
32680
Calculate 5*29525.
147625
-4*-3056
12224
Multiply 42.8697 and 5.
214.3485
Work out 2 * 0.0052571.
0.0105142
-39 times 182.8
-7129.2
Multiply -0.61298 and -7.
4.29086
What is 563 times -0.087?
-48.981
What is the product of 25 and 945.8?
23645
Product of -0.1 and -3479.
347.9
Work out -2.33152 * 0.11.
-0.2564672
What is the product of 1.4565 and -46?
-66.999
1.55 times 50.2
77.81
499 times -17.5
-8732.5
Work out -4563 * 0.038.
-173.394
What is the product of -13.0103 and -4?
52.0412
Product of 0.087 and -12.76.
-1.11012
Product of 0.423 and 67.7.
28.6371
15.8*0.0176
0.27808
21.2*-0.008
-0.1696
What is 644.07 times 0.4?
257.628
Product of -541 and -200.
108200
Work out 0.3 * -0.24008.
-0.072024
0.06779 times -0.2
-0.013558
Work out 0.0058 * -0.8.
-0.00464
-19561 times 4
-78244
Product of 4.264 and -1.2.
-5.1168
Multiply -0.2 and 5183.
-1036.6
-0.4*-4484
1793.6
What is -0.23 times -6.276?
1.44348
-31*32215
-998665
4 * -30271
-121084
What is -1.924 times 337?
-648.388
-0.050742 * 0.1
-0.0050742
Product of -34 and 19.66.
-668.44
-696 times -0.278
193.488
Work out -1.4468 * -47.
67.9996
-5 times 655878
-3279390
-0.0742 times 437
-32.4254
0.88702*0.3
0.266106
19.1 times 22.5
429.75
Product of -13 and 31.38.
-407.94
-55*0.844
-46.42
What is the product of 8684920 and 4?
34739680
What is the product of 173 and -0.1939?
-33.5447
-8121 times 77
-625317
Product of 4 and 32.63.
130.52
Product of -937 and 88.
-82456
What is the product of 39 and 4970?
193830
What is 25560 times 21?
536760
What is 8695 times -146?
-1269470
-13 * -12.783
166.179
Work out 163 * 157.
25591
Work out -14.32 * -2.
28.64
Multiply 183721 and -0.21.
-38581.41
413*536
221368
15 * -0.112834
-1.69251
Calculate -0.332465*1.
-0.332465
52926 * -10
-529260
Calculate 0.1583*-0.2.
-0.03166
23860 * 18
429480
Calculate -1.3*-0.2599.
0.337
|
{
"pile_set_name": "DM Mathematics"
}
|
12 - 5*j**4/8 - 95*j**2 - 2. Let x(s) = 0. What is s?
0, 3
Let l(f) be the third derivative of 0 - 13/8*f**4 - 2*f**2 - 3/4*f**5 - 1/70*f**7 - 4*f - 2*f**3 - 7/40*f**6. Suppose l(x) = 0. What is x?
-4, -1
Let a = -33 + 35. Let -8*l + 18*l**2 - 12*l**3 - 2*l**5 - 12*l**4 - 42*l**a - 14*l**3 = 0. What is l?
-2, -1, 0
Let l(t) = t**3 - 6*t**2 - 2*t - 29. Let s be l(7). Suppose -z - 22*z - 3*z**3 - 42*z**2 + 30 + 44*z - s*z**3 = 0. Calculate z.
-5, -2/3, 1
Let i(o) be the first derivative of 8*o**6 + 27/4*o**4 + 0*o**2 + 0*o + 12 - o**3 - 72/5*o**5. Let i(c) = 0. Calculate c.
0, 1/4, 1
Factor 34*x**2 + 6*x - 9 + 6*x - 4*x**2 + 9*x.
3*(x + 1)*(10*x - 3)
Let o(b) = 9*b**3 + 294*b**2 - 291*b. Let j(i) = 11*i**3 + 294*i**2 - 289*i. Let h(v) = 3*j(v) - 4*o(v). Determine r, given that h(r) = 0.
-99, 0, 1
Factor -138 - 2*m**3 - 157 + 2*m**2 + 277 + 18*m.
-2*(m - 3)*(m - 1)*(m + 3)
Let h be (-5*(-4 + 3))/1. Suppose h*v = 4*f + 4 + 7, 2*v - f = 5. Factor -4*t**2 - 10*t + t - 6*t + v*t.
-4*t*(t + 3)
Let z(t) = -t**3 - 14*t**2 - 29*t - 973. Let n be z(-16). Solve 0 - 8/13*g**2 + 24/13*g - 2/13*g**n = 0.
-6, 0, 2
Suppose -154*z**2 - 22*z**3 + 54*z**3 + 22*z**2 + 144*z - 16 = 0. What is z?
1/8, 2
Let c(n) be the third derivative of n**5/30 - 25*n**4/12 + 8*n**3 + 200*n**2. Factor c(m).
2*(m - 24)*(m - 1)
Let q(k) = -k**5 - k**4 + k**3 + k**2 - k + 1. Let z(w) = -7*w**5 - 15*w**4 - 21*w**3 + 243*w**2 + 192*w - 1992. Let v(u) = -40*q(u) + 5*z(u). Factor v(h).
5*(h - 5)**3*(h + 4)**2
Let d(a) be the first derivative of -21*a**4 - 141*a**3 - 183*a**2 - 72*a - 91. Factor d(x).
-3*(x + 4)*(4*x + 3)*(7*x + 2)
Let p = 4385 + -4385. Suppose 0 + 0*l - 2/5*l**3 + p*l**2 = 0. What is l?
0
Let i = 19415 + -19411. Suppose 0 + 2/11*w**i - 6/11*w**2 + 0*w - 4/11*w**3 = 0. What is w?
-1, 0, 3
Let n(w) = -w**3 - 11*w**2 + 11*w + 24. Let c be n(-12). Let 0*k**3 - 16*k**3 - 52*k**4 + 171*k - c*k**5 - 171*k = 0. What is k?
-1, -4/9, 0
Let s(a) = -6*a**2 + 10*a. Let v = 1 - 2. Let z(w) = -37*w**2 + 20*w**2 - 5*w + 18*w**2 + 4*w. Let x(j) = v*s(j) - 8*z(j). Suppose x(l) = 0. Calculate l.
-1, 0
Let q(g) be the third derivative of -g**6/780 + g**5/10 - 30*g**4/13 - 400*g**3/39 - 253*g**2. Factor q(b).
-2*(b - 20)**2*(b + 1)/13
Let o(z) be the second derivative of z**7/168 + 7*z**6/120 - 3*z**5/40 - 25*z**4/24 - 59*z**3/24 - 21*z**2/8 + 170*z. Find r such that o(r) = 0.
-7, -1, 3
Suppose 75*y = 62*y + 39. Determine r, given that 0 + 9/4*r**y + 0*r**2 - 3*r - 3/4*r**4 = 0.
-1, 0, 2
Factor -14*z**2 - 72*z**3 + 52*z**3 + 15 + 1 - 14*z**2 + 32*z.
-4*(z - 1)*(z + 2)*(5*z + 2)
Suppose -5*x + 24 = -4*r + 9, 3*x = 4*r + 9. Suppose 14 = h + 4*f, -5*h = -2*h - x*f + 3. Factor -v - v**3 - 2*v + 2 - 1 + 4*v - v**h.
-(v - 1)*(v + 1)**2
Suppose t + 5*x + 6 - 28 = 0, 0 = -t - 3*x + 18. Let s = 18 + -15. Factor s*g + g**3 + t*g**2 + 2*g**3 + 15*g**3 + 0*g**3 + 12*g**4 + 3*g**5.
3*g*(g + 1)**4
Let j(m) be the third derivative of m**7/630 + 2*m**6/45 + 8*m**5/15 - 13*m**4/24 - m**2. Let l(u) be the second derivative of j(u). Factor l(d).
4*(d + 4)**2
Let l(c) = c**3 - 8*c**2 + 7*c + 4. Let o be l(7). Suppose -3*w - 9 = -3*m, -o*w - 9 = m - w. Factor -9*k - 2 - 3*k**2 + 14 + m*k.
-3*(k - 1)*(k + 4)
Let 2/3*b**2 - 88/15*b - 8 = 0. What is b?
-6/5, 10
Let p be (-576)/(-840) - (-10)/(-35). Find l such that p*l**3 + 0 - 6/5*l**2 + 4/5*l = 0.
0, 1, 2
Let o(k) be the third derivative of k**7/630 + 7*k**6/360 - 17*k**5/180 + k**4/8 - 720*k**2. Find l, given that o(l) = 0.
-9, 0, 1
Let l = -870/11 + 73939/935. Let p = l - -767/170. Factor 27/2 - 27/2*s + p*s**2 - 1/2*s**3.
-(s - 3)**3/2
Suppose -78 = -2*h + 5*a, 5*h + 6*a - 180 = 11*a. Suppose -h*j = -39*j + 10. Factor -6/5*l**j - 8/5 - 16/5*l.
-2*(l + 2)*(3*l + 2)/5
Factor -19*u**2 - u**2 + 20*u + 10*u**3 + 12*u**2 - 38*u**2 + 16.
2*(u - 4)*(u - 1)*(5*u + 2)
Let f(c) = -2*c**2 + 100*c + 1252. Let s(t) = 2*t**2 - 1. Let z(j) = -f(j) - 2*s(j). Factor z(u).
-2*(u + 25)**2
Let y(c) be the first derivative of -c**3/4 + 27*c**2/8 + 215. Factor y(n).
-3*n*(n - 9)/4
What is u in 212/9*u**2 + 0 + 0*u + 4/9*u**3 = 0?
-53, 0
Let w be -6*((-8)/6 + (-45)/(-54)). Suppose 7 + 6 - 4*v**3 - 2*v**w - 1 + 28*v**2 - 34*v = 0. What is v?
2/3, 1, 3
Let d be 125/10 + (3 - 0) + -3. Let v = 53/4 - d. Determine k, given that -3/8*k**2 + v*k + 0 = 0.
0, 2
Let k(l) be the first derivative of 24 - 1/9*l**3 - 100/3*l + 10/3*l**2. Factor k(a).
-(a - 10)**2/3
Let a(i) be the second derivative of i**6/75 - 3*i**5/50 - 19*i**4/30 + i**3/5 + 18*i**2/5 - 9*i + 7. Determine x so that a(x) = 0.
-3, -1, 1, 6
Determine z so that 6/7*z**3 - 10/7*z**4 + 10/7*z**2 - 8/7*z + 0 + 2/7*z**5 = 0.
-1, 0, 1, 4
Let k(m) = -3*m**3 - 14*m**2 - 48*m - 62. Let h(v) = -4*v**3 - 15*v**2 - 48*v - 61. Let o(i) = -2*h(i) + 3*k(i). Factor o(y).
-(y + 4)**3
Let o(q) = 12*q + 24. Let v be o(-2). Let g(r) be the second derivative of -9*r**2 + r**3 + 1/10*r**5 + v - 5*r + 5/6*r**4. Factor g(i).
2*(i - 1)*(i + 3)**2
Factor -590*i - 17216 - 5*i**2 + 2631 - 2820.
-5*(i + 59)**2
Suppose -5*j + 30 - 20 = 0. Factor -8 + 9*b**j + 37*b + 4 - 21*b.
(b + 2)*(9*b - 2)
Let h = -15493 - -15493. Factor -4/7*z + h*z**3 + 4/7*z**5 - 8/7*z**2 + 0 + 8/7*z**4.
4*z*(z - 1)*(z + 1)**3/7
Let y = 28063 + -168373/6. Suppose -2/3*q**3 - y*q**2 + 0 - 1/6*q = 0. What is q?
-1, -1/4, 0
Suppose 4*t - 3*a + 5*a = -6, 3*a - 19 = t. Let m be -1 - -2*(-6)/t. Solve -2*g + g - m*g**2 + 4 - g = 0.
-2, 1
Let i = -1 + 25. Let p = -22 + i. Factor 8/9*s - 8/9*s**3 - 8/9 + 2/9*s**4 + 2/3*s**p.
2*(s - 2)**2*(s - 1)*(s + 1)/9
Let n = 0 - -5. Suppose 4*u + 12 = h, -7 - 7 = -n*h - 3*u. Factor 12*l**3 + 4*l - 4 + h*l**4 - 20*l + 4.
4*l*(l - 1)*(l + 2)**2
Solve -2/7*m**2 - 6/7 + 8/7*m = 0.
1, 3
Let c = 6119/4 - 1529. Solve 75/4 + 15/2*s + c*s**2 = 0.
-5
Let r(h) be the second derivative of 0*h**2 + 2*h**5 + 0 + 35/12*h**4 + 1/2*h**6 + 5/3*h**3 + 28*h. Determine c so that r(c) = 0.
-1, -2/3, 0
Let k(t) be the first derivative of -2*t**3/27 + 16*t**2/3 - 94*t/9 - 94. Let k(d) = 0. What is d?
1, 47
Let j(m) be the second derivative of -m**4/6 + m**3/3 + 20*m**2 - 4*m + 2. Suppose j(t) = 0. Calculate t.
-4, 5
Solve 4*d**2 - 6*d**2 - 172 - 16*d + 140 = 0.
-4
Suppose -32 = -6*d + 4*d. Suppose d*b - 48 = -0*b. Find q such that -2/7*q - 38/7*q**b + 30/7*q**2 + 2*q**4 - 4/7 = 0.
-2/7, 1
Let w = 48 - 32. Factor 10 - w + 8*q - 18 + 20*q - 4*q**3.
-4*(q - 2)*(q - 1)*(q + 3)
Determine d so that 185*d + 7 - 41 - 36 + 13*d**2 - 120 - 8*d**2 = 0.
-38, 1
Let y = 7 - -3. Let n be 288/(-120)*y/(-9). Let 2/3*p**3 + 0 + 2*p - n*p**2 = 0. What is p?
0, 1, 3
Let w(m) be the first derivative of m**7/1960 - m**5/280 - 14*m**3/3 + 2. Let f(l) be the third derivative of w(l). Factor f(z).
3*z*(z - 1)*(z + 1)/7
Let x(c) = 84*c**5 - 75*c**4 - 6*c**3 + 3*c**2. Let j(o) = 169*o**5 - 150*o**4 - 12*o**3 + 7*o**2. Let r(y) = -3*j(y) + 7*x(y). Let r(p) = 0. What is p?
-2/27, 0, 1
Solve -14/9*l**2 + 0 + 20/3*l - 2/9*l**3 = 0 for l.
-10, 0, 3
Let x = 119 + -163. Let f be x + 46 - (-2)/6. Solve -2/3 - 3*j - f*j**2 = 0.
-1, -2/7
Suppose -16*w + 13*w = -15. Suppose -13 = -5*x - o, 2*x + 5*o - w = 7*x. Factor 0 + 3/4*y**x + 3/4*y**3 + 1/4*y**4 + 1/4*y.
y*(y + 1)**3/4
Let k(c) be the third derivative of c**6/360 - c**5/60 - c**4/8 + c**3/3 - 4*c**2. Let u(w) be the first derivative of k(w). Factor u(j).
(j - 3)*(j + 1)
Let z(y) = -4*y**5 + 8*y**4 + 2*y**2. Let b(a) = -2*a**5 + 7*a**4 + a**3 + 3*a**2. Let u(f) = -4*b(f) + 6*z(f). Factor u(x).
-4*x**3*(x - 1)*(4*x - 1)
Factor -3/5*u**2 + 12/5*u + 36/5.
-3*(u - 6)*(u + 2)/5
Factor 2/3*j**2 + 2/15*j**3 + 4/15*j - 16/15.
2*(j - 1)*(j + 2)*(j + 4)/15
Let i = -10806/7 - -1544. Find r, given that 0 + i*r**3 - 4/7*r**2 + 2/7*r = 0.
0, 1
Let v(j) = 12*j**2 + 20*j + 48. Let i(o) = 5*o**2 + 10*o + 24. Let m(y) = 14*i(y) - 6*v(y). Factor m(c).
-2*(c - 12)*(c + 2)
Find t, given that 28*t**2 + 4*t + 5*t - 2*t + 11*t**2 + 36*t**3 - t - 81*t**4 = 0.
-1/3, -2/9, 0, 1
Suppose -3*o = 2*g + o - 82, g - 43 = -3*o. Factor 356*x**2 + 213*x - 48*x**3 + 27 + 15*x**2 + g*x**2.
-3*(x - 9)*(4*x + 1)**2
Let 0 + 24/17*a - 2/17*a**2 = 0. What is a?
0, 12
Let b be ((-6)/15)/(1 + 8/(-5) + -2). Factor b*q**2 - 8/13 - 2/13*q**3 + 8/13*q.
-2*(q - 2)*(q - 1)*(q + 2)/13
Let b be 1950/5525 + 20/(
|
{
"pile_set_name": "DM Mathematics"
}
|
156 divide 2717988?
True
Does 66 divide 8658219?
False
Is 14 a factor of 2179147?
False
Does 274 divide 534574?
True
Is 13 a factor of 706446?
True
Does 711 divide 55458?
True
Is 11004994 a multiple of 13?
True
Is 2879226 a multiple of 378?
True
Is 83864 a multiple of 44?
True
Is 29966 a multiple of 162?
False
Is 41 a factor of 7662403?
False
Is 43 a factor of 463862?
False
Is 11 a factor of 1940163?
False
Is 81 a factor of 49037?
False
Is 111 a factor of 5904130?
False
Is 96228 a multiple of 27?
True
Is 357680 a multiple of 4?
True
Is 763 a factor of 268682?
False
Is 2 a factor of 2285104?
True
Does 783 divide 16150158?
True
Is 14 a factor of 3722762?
False
Is 17 a factor of 446590?
True
Does 37 divide 91033?
False
Is 78 a factor of 118240?
False
Is 163 a factor of 3915237?
False
Is 1885870 a multiple of 70?
True
Does 70 divide 92260?
True
Is 49700 a multiple of 35?
True
Is 154 a factor of 312574?
False
Is 28 a factor of 1066348?
False
Is 7589222 a multiple of 1726?
True
Is 1522886 a multiple of 53?
False
Is 26 a factor of 1074606?
True
Is 1607166 a multiple of 2?
True
Is 26831760 a multiple of 48?
True
Is 347072 a multiple of 88?
True
Is 28 a factor of 525700?
True
Is 202793 a multiple of 381?
False
Is 11 a factor of 466537?
False
Does 56 divide 401856?
True
Does 45 divide 9051705?
True
Is 6554149 a multiple of 97?
False
Is 114 a factor of 14663187?
False
Is 172 a factor of 10389650?
False
Is 115824 a multiple of 38?
True
Is 875680 a multiple of 52?
True
Is 2159424 a multiple of 88?
False
Does 480 divide 37270?
False
Is 275 a factor of 1618464?
False
Is 197056 a multiple of 16?
True
Is 877 a factor of 17198781?
False
Is 257050 a multiple of 16?
False
Is 1727625 a multiple of 255?
True
Does 12 divide 674600?
False
Does 4 divide 22514?
False
Does 17 divide 242369?
True
Is 8219042 a multiple of 12?
False
Does 47 divide 358312?
False
Is 246400 a multiple of 350?
True
Does 97 divide 366801?
False
Is 40458 a multiple of 4?
False
Does 712 divide 916195?
False
Is 289 a factor of 2860522?
True
Is 38888 a multiple of 49?
False
Is 9 a factor of 11649762?
True
Does 15 divide 8745?
True
Does 44 divide 2576417?
False
Does 8 divide 605784?
True
Is 9 a factor of 3266181?
True
Is 2777667 a multiple of 2?
False
Is 6 a factor of 2958877?
False
Does 18 divide 100110?
False
Is 19 a factor of 4775213?
True
Does 40 divide 31240?
True
Is 1510969 a multiple of 97?
True
Is 44089 a multiple of 247?
False
Does 209 divide 857838?
False
Is 129928 a multiple of 22?
False
Does 17 divide 266407?
True
Is 2068088 a multiple of 88?
True
Does 33 divide 485661?
True
Is 7796086 a multiple of 50?
False
Does 7 divide 415605?
False
Is 80 a factor of 254804?
False
Is 64094 a multiple of 146?
True
Does 18 divide 34684923?
False
Is 22 a factor of 34233?
False
Is 39 a factor of 3379853?
False
Is 97 a factor of 289357?
False
Is 6253810 a multiple of 28?
False
Is 642736 a multiple of 68?
True
Is 231 a factor of 1063836?
False
Is 24 a factor of 28488?
True
Is 8237878 a multiple of 216?
False
Is 841372 a multiple of 302?
True
Is 6 a factor of 5678?
False
Does 679 divide 5027316?
True
Is 133 a factor of 66816?
False
Does 8 divide 590104?
True
Is 50390 even?
True
Does 105 divide 36696?
False
Does 31 divide 6953636?
False
Does 3 divide 441026?
False
Does 71 divide 419786?
False
Is 16 a factor of 9329?
False
Is 5467925 a multiple of 24?
False
Does 13 divide 2389328?
False
Is 91038 a multiple of 998?
False
Does 8 divide 82028?
False
Does 34 divide 941722?
False
Does 63 divide 17093953?
False
Is 57188 a multiple of 116?
True
Does 68 divide 1286792?
False
Is 144071 a multiple of 16?
False
Is 64152 a multiple of 2?
True
Is 51 a factor of 139831?
False
Does 55 divide 2021965?
True
Is 234 a factor of 449748?
True
Is 117920 a multiple of 44?
True
Is 47670 a multiple of 21?
True
Is 615123 a multiple of 468?
False
Does 536 divide 200065?
False
Does 216 divide 9566621?
False
Is 7893756 a multiple of 117?
True
Is 18 a factor of 4524820?
False
Does 99 divide 116041?
False
Is 99949 a multiple of 42?
False
Is 163 a factor of 285576?
True
Is 68 a factor of 6092800?
True
Does 660 divide 619770?
False
Does 2 divide 56780?
True
Is 26 a factor of 889463?
False
Is 4 a factor of 247163?
False
Does 1239 divide 13564572?
True
Is 280523 a multiple of 163?
True
Is 150 a factor of 7958945?
False
Is 726858 a multiple of 18?
True
Is 21 a factor of 159356?
False
Is 18511872 a multiple of 23?
True
Does 6 divide 26236?
False
Is 341876 a multiple of 18?
False
Does 647 divide 766695?
True
Does 27 divide 87236?
False
Is 1269270 a multiple of 6?
True
Does 27 divide 2175625?
False
Is 4182 a multiple of 10?
False
Is 5154310 a multiple of 469?
True
Is 444813 a multiple of 283?
False
Is 63 a factor of 968082?
False
Is 191 a factor of 39563489?
False
Is 288324 a multiple of 36?
True
Is 111304 a multiple of 11?
False
Is 495900 a multiple of 1140?
True
Is 47 a factor of 4528450?
True
Is 51356 a multiple of 192?
False
Does 19 divide 1792146?
False
Is 743 a factor of 3896398?
False
Is 744226 a multiple of 17?
True
Is 393536 a multiple of 64?
True
Is 788663 a multiple of 37?
False
Does 147 divide 78061?
False
Does 27 divide 74262?
False
Is 9 a factor of 93504?
False
Does 69 divide 908178?
True
Is 107 a factor of 1910897?
False
Is 18 a factor of 239184?
True
Does 135 divide 9520671?
False
Does 85 divide 3408585?
True
Is 1048 a factor of 5933776?
True
Is 10196691 a multiple of 103?
True
Is 233 a factor of 337850?
True
Does 329 divide 1124786?
False
Is 30136 a multiple of 3?
False
Does 81 divide 682425?
True
Is 122 a factor of 330620?
True
Does 24 divide 382536?
True
Is 3485317 a multiple of 11?
True
Does 74 divide 11846364?
True
Does 19 divide 677555?
False
Is 796968 a multiple of 9?
True
Is 351849 a multiple of 51?
True
Is 13 a factor of 1515904?
True
Does 649 divide 515955?
True
Does 99 divide 693373?
False
Does 281 divide 133419?
False
Is 292 a factor of 2383012?
True
Does 21 divide 2127612?
False
Does 35 divide 4323019?
False
Does 9 divide 99279?
True
Is 19 a factor of 92549?
True
Does 6 divide 11547946?
False
Is 25434882 a multiple of 114?
True
Is 35 a factor of 131110?
True
Does 45 divide 1053585?
True
Is 10 a factor of 40070?
True
Is 88 a factor of 31768?
True
Does 34 divide 2852068?
False
Is 83054 a multiple of 131?
True
Does 10 divide 51078?
False
Is 9953606 a multiple of 13?
True
Is 81 a factor of 4443498?
True
Does 16 divide 3358876?
False
Is 72926 a multiple of 14?
True
Does 8 divide 9053?
False
Does 855 divide 730170?
True
Is 15 a factor of 1356310?
False
Is 17 a factor of 94107?
False
Is 30 a factor of 695580?
True
Is 58 a factor of 8107864?
False
Is 10 a factor of 814720?
True
Is 84165 a multiple of 33?
False
Is 58 a factor of 468060?
True
Does 345 divide 1062272?
False
Is 108147 a multiple of 177?
True
Does 4 divide 12656?
True
Is 1613587 a multiple of 152?
False
Is 52494 a multiple of 33?
False
Does 103 divide 5597337?
False
Does 112 divide 15673124?
False
Does 16 divide 1062368?
True
Is 18315 a multiple of 45?
True
Is 598331 a multiple of 100?
False
Is 145 a factor of 16675?
True
Is 4599 a multiple of 2?
False
Is 225728 a multiple of 405?
False
Does 33 divide 31020?
True
Is 18382314 a multiple of 21?
False
Is 354 a factor of 293112?
True
Does 948 divide 5781700?
False
Is 47 a factor of 174954?
False
Is 306582 a multiple of 6?
True
Is 932291 a multiple of 45?
False
Does 59 divide 4975181?
False
Is 170226 a multiple of 94?
False
Is 2 a factor of 144373?
False
Is 160498 a multiple of 131?
False
Is 15 a factor of 2060265?
True
Is 266 a factor of 273714?
True
Is 331 a factor of 802711?
False
Is 16 a factor of 187559?
False
Is 21942531 a multiple of 13?
True
Is 65 a factor of 83205?
False
Is 102 a factor of 101431?
False
Does 269 divide 699131?
True
Is 54 a factor of 2483406?
True
Does 35 divide 15186662?
False
Is 376554 a multiple of 360?
False
Is 31701 a multiple of 4?
False
Does 18 divide 183318?
False
Does 248 divide 105896?
True
Does 14 divide 2964262?
True
Is 449 a factor of 311157?
True
Is 1498 a multiple of 214?
True
Is 2883509 a multiple of 16?
False
Does 3 divide 30865?
False
Is 117 a factor of 1777464?
True
Is 13 a factor of 2167724?
True
Does 14 divide 632338?
True
Does 18 divide 307557?
False
Is 457647 a multip
|
{
"pile_set_name": "DM Mathematics"
}
|
6 - 1, 4*k = 5*b + 7. Let c be 0 + b*(52505 + -3). Let i be c/(-7) - 4/(-14). Round i to the nearest 1000.
-8000
Let i = -46078048 - -46077975.999999. Let q = i + 72. What is q rounded to five dps?
0
Let v = -2202.6 - -2575. Round v to the nearest 10.
370
Let w = 208.00000017 + -208. What is w rounded to 6 decimal places?
0
Let c = 0.35 + -0.349999555. What is c rounded to 7 decimal places?
0.0000004
Let t = -207166.099999 - -207166. Let s = t - -0.1. Round s to six dps.
0.000001
Suppose -n = q, 0*n - 4*q = n + 12. Suppose -5*i - 9 = -n. Let h(r) = -24301*r**3 - 2*r**2 + 1. Let u be h(i). Round u to the nearest 1000.
24000
Let j = -105.9 - -105.9000272. Round j to six dps.
0.000027
Let w(y) = -36316*y**3 - 2*y**2 + 4*y - 2. Let q be w(-3). Round q to the nearest 100000.
1000000
Suppose -3 = 4*v + 25. Let x be -3 - v/((-4)/(-4)). Let o be (-120)/((-7)/((-2030)/x)). What is o rounded to the nearest one thousand?
-9000
Let q = -5023.052 + 5006. Let t = -12.8 + -4.2. Let f = t - q. What is f rounded to 2 dps?
0.05
Let q = -9140.1017641 - -10175.063755. Let v = -1033.702 + q. Let l = 1.26 - v. What is l rounded to six decimal places?
0.000009
Let r = -7.9241202 + -37.2760808. Let z = r - -45.2. Round z to five decimal places.
-0.0002
Let i = -40.59207 + 40.61. Round i to three dps.
0.018
Let b = 156106 - -1067920. Let w = b + -524026. Round w to the nearest one hundred thousand.
700000
Let u be (-24)/14 + 2 + (-32)/112. Suppose u = -a - 8966 + 72666. Round a to the nearest 10000.
60000
Suppose 3*v - 2 = -r, 5*r - 5 = v + 5. Let d(o) = 32*o + 2 + 13*o - 15*o - 1. Let j be d(r). Round j to the nearest 10.
60
Let s = 9029.549 - 9038. Let k = s - -0.151. Round k to 0 decimal places.
-8
Let n = 15622 - 24912. Round n to the nearest 1000.
-9000
Let b = -199 - -199.186. Let g = 1.5 + -1.69. Let q = g + b. Round q to three decimal places.
-0.004
Let u = 1410.0672 + -1410. Round u to two dps.
0.07
Let o be (-15)/1*(2 + 56/12). Let b be ((-16 - 2)/(-2)*o)/1. What is b rounded to the nearest 100?
-900
Suppose m = b + 6, 4*m + 5*b + 14 = m. Suppose y - q - 270005 = 0, -3*y + 269975 = -m*y + 5*q. What is y rounded to the nearest 100000?
300000
Let g = -1015 + 1008.59. Let l = 5.4 + g. Round l to 1 decimal place.
-1
Suppose 355*k - 350*k = -30810. What is k rounded to the nearest one thousand?
-6000
Let g = 0.8619607185 - 414.8619579485. Let c = g - -414. Round c to seven dps.
0.0000028
Let q be (2 + -1)*(1 + -1). Suppose g - 3*u - 605 = q, -5*g + 1274 + 1661 = 3*u. What is g rounded to the nearest 100?
600
Let s = -38013945 + 38013824.000302. Let a = 121 + s. What is a rounded to 5 decimal places?
0.0003
Suppose m - 4*v - 25 = -4, -3*v = m + 7. Suppose -3*u + 242099995 = m*y, 6*u - u = 3*y + 403500003. Round u to the nearest one million.
81000000
Let v(w) = -27*w - 37. Let l be 3/(1 + 0 + (-4)/6). Let o be v(l). Round o to the nearest one hundred.
-300
Let o = -222220.1 + 222220.00500082. Let d = -0.095 - o. Round d to 7 decimal places.
-0.0000008
Let d(k) = -4 + 280*k**2 - 34*k**2 + 4*k + 578*k**2. Let w be d(2). Let r = w + -6400. Round r to the nearest one thousand.
-3000
Let h = -10.6 + -5.8. Let w = 3.4 + h. Let s = 12.956 + w. Round s to 2 dps.
-0.04
Let n = 72.6 - 84. Let z = n + 11.39899. Round z to 4 dps.
-0.001
Let z = -467.83 + 448. Let u = z + 20. What is u rounded to one dp?
0.2
Let d(k) = 4*k - 16 + 8*k + 2*k - 2*k + 8908*k**2. Let o be d(-8). What is o rounded to the nearest 100000?
600000
Let x = -8219.0859192 + 8219. Let q = x - -0.086. What is q rounded to 6 decimal places?
0.000081
Let u = -193.3209329 - -197.02093. Let h = -3.7 + u. Round h to 6 dps.
-0.000003
Let h = 540.8657 - 541. What is h rounded to 3 decimal places?
-0.134
Let m(z) = 2974*z + 154. Let r be m(-16). Round r to the nearest 1000.
-47000
Let s = -2.042055 - 1.291171. Let j = 13.967784 - s. Let b = -17.3 + j. Round b to four decimal places.
0.001
Let i = 78502833763.0640061 + -78495370644.604. Let b = i + -7463120. Let n = b - -1.54. Round n to 6 decimal places.
0.000006
Let i = 1.4 - 1. Let o = -28.6 - i. Let y = o + 28.9934. Round y to three dps.
-0.007
Let f = 337 + -336.99999703. Round f to seven decimal places.
0.000003
Let p = 130 - 39. Round p to the nearest 10.
90
Let t = 851.02 - 858. What is t rounded to one dp?
-7
Let c = -0.052 + 21.052. Let y = 100.7 + -80. Let q = c - y. Round q to the nearest integer.
0
Let i = -1222 + 1244.09. Let w = 24.5 + -2.5. Let y = w - i. What is y rounded to 1 dp?
-0.1
Let g(m) = -25 + 3953*m + 40 + 6250*m. Let l be g(-5). Round l to the nearest ten thousand.
-50000
Let u = -0.0004854 + 265870.0004854. Let c = u + -265869.179926. Let w = c - 0.82. What is w rounded to 5 decimal places?
0.00007
Let b = -66534999 + 159034999. What is b rounded to the nearest 1000000?
93000000
Let l(c) = 54*c**2 - 16*c + 16. Suppose -11*a + 60 = -6*a. Let f be l(a). Round f to the nearest 1000.
8000
Let f = 19408 + -20483.7. Round f to the nearest one hundred.
-1100
Let c = -96 - -34. Let b = -61.616 - c. Round b to 1 decimal place.
0.4
Suppose 9*v - 2832783 = 1278417. Round v to the nearest 10000.
460000
Let q = -1560 - -1566.648. Let z = -0.07 + 0.022. Let i = z + q. Round i to zero dps.
7
Let o = -29.23 + 0.23. Let c = o - -28.9993. Round c to 3 dps.
-0.001
Let c = 21.981 - -0.019. Let v = c + -21.9999997. Round v to six decimal places.
0
Let k be -2 + 1352865 + 4 + 4. Let i be (-3)/(-3) + (0 - -2362870). Let p = k - i. Round p to the nearest 100000.
-1000000
Let d be 52703/1 + 1 + (-2 - 2). What is d rounded to the nearest ten thousand?
50000
Let c(f) be the third derivative of -16001*f**6/120 - f**4/24 - f**3/3 - 9*f**2. Let b be c(-1). What is b rounded to the nearest 10000?
20000
Let d = 4873127.000074 - 4873122. Let j = d - 5. Round j to five decimal places.
0.00007
Let x be (-1 - (-24)/56) + (-2299936)/(-28). What is x rounded to the nearest 1000?
82000
Let r = 0.286 - -48.514. Let u = 14.2 + r. Let q = 63.00000062 - u. Round q to 7 dps.
0.0000006
Let w = 0.22 - 0.220812. Round w to four dps.
-0.0008
Let l be 2 - 48/27 - (-2)/(-9). Suppose 15*d + 8498031 + 17151969 = l. What is d rounded to the nearest 100000?
-1700000
Let z = -4.9 - -16.3. Let q = z - 11.4385. What is q rounded to three decimal places?
-0.039
Suppose -9*i - 1547961 - 4113039 = 0. Round i to the nearest one hundred thousand.
-600000
Let f = -4.7 - -6.5. Let r = f - 1.799984. What is r rounded to five dps?
0.00002
Let g = 8.1 + -9. Let r = 1.39 + g. Let y = 0.48949 - r. Round y to 4 dps.
-0.0005
Let i = 3386.1 - 3535. Let h = i + -43.1. Let o = -192.91 - h. What is o rounded to 1 dp?
-0.9
Let u be 3*-2*(-20)/24. Suppose u*j = f + 2*j + 21042, -f - 21042 = -5*j. Let z = 14842 + f. What is z rounded to the nearest one thousand?
-6000
Let k = -287253406 - -287253532.9999755. Let q = k + -127. What is q rounded to five decimal places?
-0.00002
Let l = -0.95 + 0.950002641. Round l to seven decimal places.
0.0000026
Let z = -0.219 - -1.531. Let t = 1.41 - z. What is t rounded to two decimal places?
0.1
Let a = 8215 - 3496. Let r = a + -4718.91002. Let s = r - 0.09. Round s to five dps.
-0.00002
Let o = -5 - 6. Let x = -54868870.0000017 + 54868859. Let l = o - x. Round l to six decimal places.
0.000002
Let b = -3575 - -3574.93151. Let a = -1735 + 1734.9286. Let k = b - a. What is k rounded to 4 dps?
0.0029
Let g = -4699620 - -4699696.00021. Let t = g + -76. What is t rounded to four decimal places?
0.0002
Suppose 3*z + j - 19 = 0, -4*j - 43 = -8*z + 3*z. Suppose z*h - 32240000 = -6*h. What is h rounded to the nearest 100000?
2500000
Let y = -1.06 - -0.705. What is y rounded to two decimal places?
-0.36
Suppose -35799 = -28*h + 35545. Round h to the nearest 1000.
3000
Let g(f) = 261334*f**2 - 13*f + 33. Let k be g(3). What is k rounded to the nearest 100000?
2400000
Let b = -41.025 - -41. Let u = -3.525 - b. Round u to 0 dps.
-4
Let a = 39157108 + -39157098.00000152. Let z = a - 10. Round z to 7 dps.
-0.0000015
Let i = 4361 - 4366.962. Let y = 1.172 + i. What is y rounded to 1 decimal place?
-4.8
Let x = -0.03420855 - -0.0342. What is x rounded to six dps?
-0.000009
Let f = -1003 + 998.47. What is f rounded to 0 decimal places?
-5
Let x = -0.99 - -1.47. Let m = 5121 - 5120.5137. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
e closest to -2/7? (a) 6.2 (b) -31.1 (c) -2/15
c
What is the nearest to 2 in -1/80, 5, -383?
-1/80
What is the closest to 5 in 23, 2/3, -4/3, 16.5?
2/3
Which is the closest to 1/3? (a) 0.016 (b) 35/4 (c) -0.59
a
Which is the closest to -1.4? (a) 4 (b) 4/33 (c) -2 (d) 0.09 (e) 2/11
c
What is the nearest to 0.3 in -1, 9/2, 4, -2, -2/3?
-2/3
What is the closest to -0.3 in -2/11, -14, 8/3, 0.2, 0.14?
-2/11
What is the nearest to 2 in 3/31, 0.357, 0.1?
0.357
Which is the nearest to 74? (a) 9/5 (b) -2/15 (c) 1.1
a
What is the closest to -1 in 2, -2068, 22/5?
2
What is the nearest to -3 in 2, 106, -2/9, 162, -2/7?
-2/7
Which is the nearest to -0.1? (a) -0.4 (b) 51 (c) 9 (d) 0.18
d
What is the nearest to -10 in 0.134, -0.4, -0.1, -0.04?
-0.4
Which is the closest to -46? (a) -0.1 (b) 0.1 (c) 3/16 (d) 0.4 (e) 1
a
What is the closest to -0.3 in -0.1, 3, 11, -3/7?
-3/7
What is the closest to -62 in 0.1, 102, 0.01, 3?
0.01
Which is the closest to 0? (a) 0.2 (b) 1/9 (c) -1 (d) -0.1
d
Which is the closest to 3? (a) -202 (b) 3 (c) 5 (d) 2 (e) 2/13
b
Which is the closest to 0.2? (a) -5 (b) 0.06 (c) -0.4 (d) -26/5 (e) -21
b
What is the nearest to 3 in -0.1, 36, -6, -0.2?
-0.1
Which is the nearest to -7? (a) -2 (b) 3 (c) 13/3
a
What is the closest to -1.2 in 0.25, 19, 4, -3?
0.25
What is the nearest to 0 in 44.1, -4, -6/19?
-6/19
What is the nearest to 1 in -5, -2/11, 5/6, 6, -223?
5/6
What is the nearest to -27 in -7/5, 2, 2/43?
-7/5
What is the closest to 0.3 in 256, 0.1, -56?
0.1
Which is the nearest to -2? (a) 4 (b) 3/91 (c) 6 (d) 0.28
b
Which is the closest to 1? (a) 2 (b) -1/10516 (c) -1.2 (d) 0.3
d
Which is the nearest to -34? (a) -0.06 (b) -0.4 (c) -2/7 (d) 0.1 (e) 0.5
b
What is the closest to 4 in -248, 7, 5, -1/6?
5
What is the closest to -1 in -3, 4, -0.502?
-0.502
What is the closest to 1 in -0.652, -2/3, -2/9, 2?
2
Which is the nearest to -0.2? (a) 0.6 (b) 824 (c) -2
a
What is the closest to 1/5 in -0.1043, -1/6, -3, 4, -0.8?
-0.1043
Which is the closest to 2? (a) -5 (b) -1.7 (c) 2/9 (d) -1/5 (e) 18
c
What is the closest to -1 in 2, -5, -3/4, 5/3, 50/31?
-3/4
Which is the nearest to -1/6? (a) -3/4 (b) 1/2 (c) 3/833
c
Which is the nearest to -0.1? (a) -4/5 (b) 109 (c) -1/156
c
What is the nearest to 4 in 0.1, -2, 2, -1, 27/50?
2
Which is the nearest to 2/3? (a) -0.5 (b) 2/37 (c) -0.3 (d) 4 (e) -3
b
What is the nearest to 3 in 1, 0.13433, -1/3, -0.3?
1
Which is the closest to -3? (a) 1 (b) -2 (c) -64 (d) 3/4 (e) -1
b
Which is the closest to 1? (a) -0.0028 (b) 1/2 (c) 0.1
b
What is the closest to 1/2 in -1/4, -8, -1.9, -1/3, 34/9?
-1/4
What is the nearest to -305 in 1, 0, -31, -3, -1/4?
-31
What is the nearest to -2 in -1/4, -15, -3/4, 0.1?
-3/4
Which is the closest to 3/8? (a) 17 (b) 4 (c) -0.4 (d) 3.9
c
What is the nearest to -201 in -3, -1/4, 0.3, 0, -0.1?
-3
Which is the nearest to -1? (a) 2 (b) -1 (c) 0.5 (d) -3/4 (e) -403
b
What is the nearest to -47 in -3/11, 1, -71?
-71
Which is the closest to 1? (a) 2/13 (b) 0.82 (c) 1/21
b
What is the nearest to 5 in -5/7, 5/2, 0.4, -1/7?
5/2
Which is the nearest to 10? (a) 0.5 (b) -1/5 (c) -4 (d) 0 (e) -2/21
a
What is the closest to -203 in 3, -2/13, 2/41, 5?
-2/13
What is the closest to -23.9 in -5, 120, 1/6?
-5
Which is the closest to -330? (a) 2 (b) 0 (c) -3
c
What is the nearest to -1/3 in 1, -0.6, 4, -79/78?
-0.6
Which is the nearest to 2/7? (a) 1 (b) -0.949 (c) -0.5
a
Which is the nearest to -2/3? (a) 0.8 (b) 27 (c) 0.4 (d) 156
c
What is the closest to 327 in 2/3, -2/7, 2/17?
2/3
Which is the nearest to -1.7? (a) 10783 (b) -1/5 (c) -0.5 (d) -0.4
c
What is the closest to 0.2 in -0.01, -298/21, -1.3?
-0.01
What is the nearest to 1 in -1/9, 1, -0.26, 7607?
1
What is the closest to -0.1 in -1/10, 6, 0.4, 18?
-1/10
Which is the closest to -2? (a) 2/3 (b) -7 (c) -49 (d) -1 (e) 1
d
Which is the closest to 1? (a) 5.3 (b) -6 (c) -1/2 (d) 1/8
d
Which is the nearest to 1? (a) 0.4 (b) -4 (c) 20 (d) -9/7
a
What is the nearest to -0.1 in -3/7, -4, 5.2, -5/2?
-3/7
Which is the nearest to 0? (a) 0.4 (b) 3 (c) 0.047 (d) -53
c
What is the closest to -688 in 5, 2, 4, -4?
-4
Which is the nearest to -0.1? (a) 35411 (b) 0.5 (c) -4 (d) 5
b
Which is the closest to -0.1? (a) 4 (b) -0.5 (c) -6956/19
b
Which is the nearest to -19? (a) -0.01 (b) -253 (c) -14
c
What is the nearest to 0 in -394, 5, -2/15?
-2/15
What is the nearest to -0.3 in -26, -4, 7?
-4
What is the closest to 2/5 in 0, -38.289, -2/3, -0.1?
0
What is the nearest to -2 in -2, 27, -185?
-2
What is the closest to -296 in 0, 0.1, 0.14?
0
What is the nearest to -3 in 4, 0.3, 1/28, -7?
1/28
Which is the closest to -1/18? (a) 0.1 (b) 35 (c) 3 (d) 2/13 (e) -0.4
a
Which is the closest to 1/4? (a) 19/5 (b) -1/34 (c) 4/11 (d) 2/3 (e) 3/4
c
What is the nearest to 0.4 in -0.5, -69, 2/19, -44?
2/19
What is the nearest to 2/301 in 3/5, 44, 1, 4/5?
3/5
Which is the closest to 5? (a) 165 (b) -5/3 (c) 2/41 (d) 0.2
d
What is the nearest to 1/2 in -2/19, 31, 0.17, -0.2?
0.17
Which is the nearest to 17? (a) -1/3 (b) 6 (c) -0.1 (d) 4 (e) 0.2
b
What is the closest to -4 in -7.7, 41, -2/19?
-7.7
Which is the nearest to 0.1? (a) 0 (b) -0.5 (c) 0.6 (d) 50/79 (e) -0.2
a
What is the nearest to 2/7 in -0.5, -14/13, 1/132, 0?
1/132
What is the closest to -2 in 3, 1020, 2/7, 1/10, 0.5?
1/10
What is the closest to -4 in -6, -0.05, -0.7, 0.4?
-6
Which is the nearest to -0.1? (a) -159 (b) -0.0381 (c) -4
b
What is the nearest to 204 in 20, 4, -1?
20
Which is the nearest to 0? (a) 3/4 (b) -22/7 (c) -4/7 (d) -2/19
d
Which is the closest to 2/9? (a) 7 (b) -1 (c) 20/67 (d) -3
c
What is the closest to -2 in 1/4, -9167, 2?
1/4
What is the nearest to 0.101 in 7, 124, -1?
-1
What is the nearest to -2/5 in 1/9, 1/2, -518?
1/9
Which is the nearest to -1? (a) -17 (b) -1/28 (c) -1/10 (d) -4
c
Which is the nearest to 0.1? (a) 257 (b) -0.2 (c) -24
b
What is the closest to 204 in -79, 2, 0.2?
2
What is the closest to -2/7 in -3, 24, -3/4, 61?
-3/4
What is the closest to 1 in 1940, 6, -2/3, 5/4?
5/4
What is the nearest to -0.1 in 3, -0.051, -3, 3/5, -2?
-0.051
Which is the nearest to -1? (a) 3 (b) 3.99 (c) 52/3
a
What is the closest to 2/3 in -86, -3, -0.1, 2/3, -4.9?
2/3
What is the nearest to -1008 in -2/13, -10, -1.06?
-10
Which is the nearest to -2.49? (a) 3/5 (b) 3 (c) 0.12 (d) -0.3
d
What is the closest to 1 in 0.1, 1/9, -117, 2, 0.8?
0.8
What is the nearest to -1 in 3, 84, -0.9, -2, 0.1?
-0.9
Which is the nearest to -1? (a) 1 (b) -5/8 (c) 0.2 (d) -1 (e) -33
d
What is the nearest to 241 in 0.3, 5, 7, -2/11?
7
What is the closest to 0.2 in 13, 24, 18, 6?
6
Which is the closest to -22? (a) 3/7 (b) 1/2 (c) 71
a
What is the nearest to 12/7 in -3, 2/3, 2587/6, -1?
2/3
Which is the closest to -0.1? (a) 3 (b) -253/26 (c) 0.3
c
What is the nearest to -16/11 in -2/9, 2, 1.62?
-2/9
Which is the nearest to -24? (a) 2/7 (b) 3 (c) 2 (d) -11/6
d
Which is the closest to -113? (a) -0.02 (b) -1 (c) 2/13 (d) -4
d
What is the closest to -3/2 in 1/2, -5/6, -0.22, -4?
-5/6
Which is the closest to 167/3? (a) 1 (b) 3 (c) 9 (d) 6/11 (e) 0.3
c
Which is the closest to 0.1? (a) 1/3 (b) 0.03 (c) 1 (d) -6010/13
b
What is the nearest to -0.1 in 2, 1, -736, 2/7?
2/7
Which is the closest to 0? (a) 0.86 (b) -16 (c) -0.1 (d) -2
c
Which is the closest to 1/8? (a) -2/11 (b) -15.9 (c) -2 (d) -8
a
Which is the closest to 0.2? (a) -11 (b) -5 (c) -0.5 (d) -1/6 (e) -1.2
d
What is the closest to 10 in 1, 424, -90?
1
What is the nearest to -0.178 in -4, -2, 0.01, -2/5?
0.01
What is the closest to 3/4 in 1, -4, 5/4, 7?
1
Which is the closest to 1? (a) -17 (b) 0.1 (c) 4 (d) -0.1 (e) -1/5892
b
Which is the closest to 33? (a) -6 (b) 0 (c) 1 (d) -2 (e) 2/7
c
Which is the nearest to 265? (a) 3 (b) 4 (c) 2/95
b
Which is the closest to 6? (a) 2/11 (b) -4 (c) -0.15 (d) 3
d
Which is the closest to 1.4? (a) 2 (b) -0.18 (c) -1
a
What is the nearest to 16 in 1, -1/5, -3?
1
Which is the closest to 1/4? (a) 2/7 (b) -9/58 (c) 5.8
a
Which is the nearest to -0.06? (a) -1 (b) 0 (c) -20
b
What is the nearest to -3
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 2*d*m*v - 2*m*v**2*w - 2*v**2*w + w wrt d.
-6*m*v**2*w + 936*m*v + 810*w
What is the second derivative of -v**4 - 8*v**3 - 119*v**2 + 287468*v wrt v?
-12*v**2 - 48*v - 238
Differentiate 517728*z + 538302.
517728
What is the third derivative of -16*m*q**6 + m*q**2 + 56*m - 31036*q**6 - 2*q**2 - 3404*q wrt q?
-1920*m*q**3 - 3724320*q**3
What is the second derivative of t**5 + 83318*t**4*z**2 + 2*t*z**2 - t*z + 2*t - 5*z**2 + 146*z wrt t?
20*t**3 + 999816*t**2*z**2
What is the first derivative of -4178*a**2*b**3*i - a**2 + 4*a*i - 4266*b**3*i - 269*b*i wrt a?
-8356*a*b**3*i - 2*a + 4*i
What is the third derivative of 21802*c**4 - c**3 + 15*c**2 - 7*c wrt c?
523248*c - 6
Differentiate -319714*w**3*z**3 - 1208476*z**3 with respect to w.
-959142*w**2*z**3
What is the derivative of -8*b**3*x - 5*b**3 - 258*b**2*x - 139370*x wrt b?
-24*b**2*x - 15*b**2 - 516*b*x
What is the derivative of 109736*f**3*u + 78*f**3 - 34*f**2 - 6*f wrt u?
109736*f**3
Find the second derivative of -933057*o**4 - 580237*o.
-11196684*o**2
Find the third derivative of 151*d**6 + 4*d**4*x**3 + 4*d**2*x**3 - 3*d*x**3 - d + 44*x**3 wrt d.
18120*d**3 + 96*d*x**3
Find the third derivative of -3525*c**4*f + c**4*o - 3*c**3*o**2 - 25*c**2*f + 148*c*f*o**2 wrt c.
-84600*c*f + 24*c*o - 18*o**2
What is the third derivative of -29791*i**4*r + 1012*i**2*r - 4*i*r + 5 wrt i?
-714984*i*r
What is the third derivative of 10254*f**4 - 12579*f**2 + 4?
246096*f
Find the first derivative of -2678789*b*u**3 + 1592930*u**3 wrt b.
-2678789*u**3
Find the first derivative of 15*r**4*s + 5*r*s - 131*r - 1425532*s wrt r.
60*r**3*s + 5*s - 131
Find the first derivative of -366810*p**2 + 340939.
-733620*p
Find the second derivative of i**4 + 2*i**3 - 5267*i**2 + i - 29360 wrt i.
12*i**2 + 12*i - 10534
Find the third derivative of 1362076*p**4 - 4561*p**2 + 49.
32689824*p
What is the third derivative of 24524*h**3 - 90648*h**2 wrt h?
147144
What is the third derivative of -18902*b**2*c**3 + 2*b**2*c**2*d + 6615*b**2 - 15*b*c**3*d - 2*b*c**3 - c wrt c?
-113412*b**2 - 90*b*d - 12*b
Find the third derivative of -6*f**2*m**4 + 8*f**2*m**2 + 50438*f**2 - 1128*f*m**4 + 2*m**4 wrt m.
-144*f**2*m - 27072*f*m + 48*m
Find the third derivative of -q**3*t - 96958*q**3 + 365*q**2*t + 103*t wrt q.
-6*t - 581748
Find the second derivative of -4538*u**3 + 28*u**2 - 179476*u.
-27228*u + 56
What is the second derivative of -51*t**4 - 20*t**3 - 16*t**2 - 2*t - 13681?
-612*t**2 - 120*t - 32
Find the second derivative of -15*q**4 - 2*q**3 + 614*q**2 - 13*q + 3708 wrt q.
-180*q**2 - 12*q + 1228
Find the second derivative of 25556*m**5*z + 4*m**3*z + 66*m*z - 483 wrt m.
511120*m**3*z + 24*m*z
What is the second derivative of 8080*a**4 + 11*a**2 + 1544801*a wrt a?
96960*a**2 + 22
What is the second derivative of -w**5 + 156*w**4 - 3*w**2 + 16866*w wrt w?
-20*w**3 + 1872*w**2 - 6
Find the second derivative of -2021597*k**2 + 19*k - 14036 wrt k.
-4043194
Differentiate 57*j*u + 1686*j + 159*u + 1223 wrt j.
57*u + 1686
Find the third derivative of -37062*o**2*p**4 + 144*o**2*p**2 + 34*o**2 - o*p**4 wrt p.
-889488*o**2*p - 24*o*p
What is the derivative of 92936*c**4 - 62861?
371744*c**3
Find the third derivative of -5046*i**4 - 37*i**3 - 986*i**2 - 15*i + 2 wrt i.
-121104*i - 222
What is the second derivative of 13*i**2*y**3 - 3676*i**2*y + 62*i*y**3 - i*y**2 + 2*i*y - 11*y**2 wrt i?
26*y**3 - 7352*y
Differentiate -30256*d + 213720 with respect to d.
-30256
What is the third derivative of 4*d**6 - 2*d**4 + 97863*d**3 + 80071*d**2 + 3?
480*d**3 - 48*d + 587178
Differentiate -2*j*s - 102520*j - 497925*s wrt j.
-2*s - 102520
Differentiate -35*c*i*o - 11*c*o**3 + c*o*r - 238*i*o**3*r + 161*i*o*r wrt c.
-35*i*o - 11*o**3 + o*r
Find the second derivative of 2*v**3 - 237677*v**2 - 533521*v wrt v.
12*v - 475354
Find the third derivative of 2*r**3*t**2*z - 3*r**3*t - 205*r**3*z + 5*r**3 - 2*r**2*t**2*z + 293*r**2*z - 2*t**2 wrt r.
12*t**2*z - 18*t - 1230*z + 30
What is the derivative of -242298*l + 121048 wrt l?
-242298
Find the second derivative of -32*a**3*f*j**2 - 2*a**3*f*j - 1140*a**3*f - 2*a**3*j**2 + 10*a*f*j + 2*j**2 wrt j.
-64*a**3*f - 4*a**3 + 4
Find the third derivative of 94*i*j**4*q + 232*i*j**4 - 56*i*j**2 + i*q - 314*i - 2*j**4*q wrt j.
2256*i*j*q + 5568*i*j - 48*j*q
Find the second derivative of 97630*m**2 + 128176*m wrt m.
195260
Find the third derivative of -2*f**5 - 1062*f**4 + 14*f**3 - 5*f**2 - 3*f + 1266.
-120*f**2 - 25488*f + 84
What is the third derivative of 25491*x**4 - 34*x**3 - 443*x**2 - 242?
611784*x - 204
Find the third derivative of -117*n**6 - n**5 + 6*n**4 + 192781*n**2 wrt n.
-14040*n**3 - 60*n**2 + 144*n
What is the second derivative of 61526*y**3 + 2*y**2 + 88769*y?
369156*y + 4
Find the second derivative of -204*b**4*o + 7*b**3*u - 103*b**2*o + b*o*u - 3364687*b*u wrt b.
-2448*b**2*o + 42*b*u - 206*o
What is the derivative of y*z**3 - 3366*y*z**2 + 9*y*z - 20*z**3 - 14594 wrt y?
z**3 - 3366*z**2 + 9*z
What is the derivative of 1348*n*q**3 - n*q + 8*n - q**3 + 44906*q wrt n?
1348*q**3 - q + 8
Find the second derivative of -19965*f**3*m**2 + 23*f**3 - 2*f**2*m**2 + f**2*m - 2*f*m**2 - 2*m + 299 wrt m.
-39930*f**3 - 4*f**2 - 4*f
What is the second derivative of -7*p**5 - 7862*p**2 + 308455*p wrt p?
-140*p**3 - 15724
What is the second derivative of 2*s**2*v**2 + 28388*s**2*v - 2*s*v - 35*s + 334*v**2 wrt s?
4*v**2 + 56776*v
Differentiate -2725757*f**3*i**2 + f**3 + 129201*f**2 wrt i.
-5451514*f**3*i
Find the third derivative of 94219*v**6 + 33641*v**2 wrt v.
11306280*v**3
Find the second derivative of -553*c**4 - 9*c**3 - 39184*c wrt c.
-6636*c**2 - 54*c
What is the second derivative of -275708*m**4 - m**2 - 42*m + 1031?
-3308496*m**2 - 2
What is the second derivative of 589746*s*w**2 - 95*s*w + 5*s - 45*w wrt w?
1179492*s
Differentiate -76477*k**3 + 386516.
-229431*k**2
What is the first derivative of j**2*u**2 + 1074880*j**2 - 2611449*u**3 wrt u?
2*j**2*u - 7834347*u**2
Find the third derivative of 277713*c**5*s**3 - 5*c**5 - 209036*c**2*s**3 + 2*c*s - s**3 wrt c.
16662780*c**2*s**3 - 300*c**2
Find the third derivative of 29*q**3*z**2 + 4101*q**3 - 1726*q**2*z**2 - q**2*z - 84*q*z**2 wrt q.
174*z**2 + 24606
What is the second derivative of t**5 + 9*t**3 - 11739*t**2 - 271590*t wrt t?
20*t**3 + 54*t - 23478
Find the third derivative of 282*d**6 - 80*d**4 - 3*d**3 - 478*d**2 + 45*d + 4 wrt d.
33840*d**3 - 1920*d - 18
Find the second derivative of -473028*y**4 + 30729*y + 5 wrt y.
-5676336*y**2
What is the third derivative of 37518*z**4 + 17470*z**2?
900432*z
What is the first derivative of 14*k**4 - 18*k**3 - 9*k + 60390?
56*k**3 - 54*k**2 - 9
Find the third derivative of 1346*d**6 + 3*d**5 + d**4 - d**2 - 1666*d + 14 wrt d.
161520*d**3 + 180*d**2 + 24*d
What is the second derivative of -12*l*w**2 + 918*l*w - 1166*w**2 + 18*w wrt w?
-24*l - 2332
Find the third derivative of -680954*b**3*t*u**3 - b**2*t*u**3 - 15*b**2*t*u**2 - 9*b**2*t + 4*b*u**3 - u wrt b.
-4085724*t*u**3
Find the first derivative of -95556*w + 474100.
-95556
Find the third derivative of 1146130*d**3 - 382389*d**2 + 8 wrt d.
6876780
What is the first derivative of -374*y**4 + 37*y**3 - 2*y - 104736?
-1496*y**3 + 111*y**2 - 2
Find the second derivative of 4540681*o**2 - 5*o + 253540.
9081362
What is the second derivative of g**3 - 620*g**2 + 59387*g wrt g?
6*g - 1240
Find the second derivative of 247841*h**2 + 117333*h.
495682
Find the third derivative of -1670446*s**3*u**3 - s**3*u + 14*s**2*u**3 - 2*s**2 - 2*s - 135*u**3 + 55*u wrt s.
-10022676*u**3 - 6*u
Find the second derivative of -44026*f**4 - 7*f + 2717.
-528312*f**2
Find the second derivative of -155*b**3*h**2*y**2 - 24*b**3*h**2*y + 2*b**3 - 8*h**2 - 199*h*y**2 wrt y.
-310*b**3*h**2 - 398*h
Find the second derivative of -556244*l**3 + 2832*l - 54.
-3337464*l
Find the third derivative of 8487*s**5 - 3*s**3 + 2926*s**2 - s + 2.
509220*s**2 - 18
What is the second derivative of -3881030*z**3 - 5166163*z wrt z?
-23286180*z
Find the third derivative of -5999*w**3*z**6 + 28*w**3*z**4 - 27206*w**3*z**2 + w**2*z**2 + 5*w**2*z - 2*w*z**2 wrt z.
-719880*w**3*z**3 + 672*w**3*z
What is the third derivative of -1871988*m**3 + 2*m**2 + 18065*m - 3?
-11231928
What is the third derivative o
|
{
"pile_set_name": "DM Mathematics"
}
|
the units digit of 1221?
1
What is the tens digit of 15356?
5
What is the thousands digit of 1496?
1
What is the tens digit of 8939?
3
What is the units digit of 189?
9
What is the hundreds digit of 28714?
7
What is the tens digit of 437?
3
What is the ten thousands digit of 41301?
4
What is the hundreds digit of 1923?
9
What is the tens digit of 11434?
3
What is the tens digit of 28168?
6
What is the tens digit of 3734?
3
What is the units digit of 8672?
2
What is the thousands digit of 9134?
9
What is the units digit of 6446?
6
What is the units digit of 13359?
9
What is the thousands digit of 2000?
2
What is the tens digit of 33360?
6
What is the ten thousands digit of 125495?
2
What is the thousands digit of 8346?
8
What is the tens digit of 62952?
5
What is the thousands digit of 22662?
2
What is the units digit of 2383?
3
What is the units digit of 147444?
4
What is the tens digit of 139?
3
What is the hundreds digit of 26868?
8
What is the hundreds digit of 2230?
2
What is the tens digit of 42052?
5
What is the units digit of 2189?
9
What is the tens digit of 12171?
7
What is the thousands digit of 3120?
3
What is the ten thousands digit of 17144?
1
What is the hundreds digit of 1099?
0
What is the hundreds digit of 7528?
5
What is the units digit of 3453?
3
What is the hundreds digit of 27504?
5
What is the units digit of 911?
1
What is the thousands digit of 65414?
5
What is the tens digit of 3645?
4
What is the tens digit of 1082?
8
What is the units digit of 4740?
0
What is the ten thousands digit of 22741?
2
What is the ten thousands digit of 14545?
1
What is the units digit of 18856?
6
What is the hundreds digit of 695?
6
What is the hundreds digit of 17384?
3
What is the tens digit of 1335?
3
What is the hundreds digit of 128871?
8
What is the tens digit of 2588?
8
What is the tens digit of 1447?
4
What is the units digit of 65140?
0
What is the units digit of 4924?
4
What is the tens digit of 14741?
4
What is the thousands digit of 4847?
4
What is the units digit of 921?
1
What is the units digit of 83260?
0
What is the units digit of 2444?
4
What is the units digit of 57?
7
What is the hundreds digit of 362?
3
What is the thousands digit of 1654?
1
What is the units digit of 10707?
7
What is the ten thousands digit of 81784?
8
What is the hundreds digit of 964?
9
What is the ten thousands digit of 14958?
1
What is the units digit of 5938?
8
What is the units digit of 5109?
9
What is the thousands digit of 96679?
6
What is the tens digit of 381?
8
What is the units digit of 7046?
6
What is the hundreds digit of 10068?
0
What is the units digit of 6360?
0
What is the thousands digit of 48831?
8
What is the tens digit of 234?
3
What is the thousands digit of 1004?
1
What is the hundreds digit of 4317?
3
What is the tens digit of 3442?
4
What is the hundreds digit of 1525?
5
What is the hundreds digit of 3530?
5
What is the hundreds digit of 31297?
2
What is the tens digit of 13906?
0
What is the units digit of 182?
2
What is the units digit of 18901?
1
What is the tens digit of 2274?
7
What is the units digit of 916?
6
What is the hundreds digit of 31064?
0
What is the units digit of 181072?
2
What is the tens digit of 34719?
1
What is the ten thousands digit of 14498?
1
What is the hundreds digit of 29899?
8
What is the thousands digit of 9506?
9
What is the units digit of 57?
7
What is the ten thousands digit of 10274?
1
What is the units digit of 55450?
0
What is the hundreds digit of 1276?
2
What is the units digit of 1650?
0
What is the ten thousands digit of 90986?
9
What is the hundreds digit of 3574?
5
What is the thousands digit of 41147?
1
What is the units digit of 10?
0
What is the tens digit of 1957?
5
What is the thousands digit of 8412?
8
What is the hundreds digit of 10200?
2
What is the ten thousands digit of 93353?
9
What is the ten thousands digit of 10680?
1
What is the hundreds digit of 56437?
4
What is the hundreds digit of 138581?
5
What is the hundreds digit of 22897?
8
What is the tens digit of 5533?
3
What is the units digit of 219?
9
What is the units digit of 668?
8
What is the tens digit of 61932?
3
What is the hundreds digit of 599?
5
What is the tens digit of 50370?
7
What is the ten thousands digit of 27130?
2
What is the ten thousands digit of 21319?
2
What is the hundreds digit of 2159?
1
What is the hundreds digit of 67462?
4
What is the units digit of 75710?
0
What is the hundreds digit of 906?
9
What is the units digit of 450?
0
What is the hundreds digit of 12716?
7
What is the units digit of 928?
8
What is the thousands digit of 97286?
7
What is the units digit of 7652?
2
What is the tens digit of 60455?
5
What is the tens digit of 45157?
5
What is the hundreds digit of 1000?
0
What is the tens digit of 190653?
5
What is the hundreds digit of 3592?
5
What is the units digit of 1599?
9
What is the units digit of 1477?
7
What is the hundreds digit of 12175?
1
What is the units digit of 672?
2
What is the tens digit of 2435?
3
What is the tens digit of 858?
5
What is the units digit of 124?
4
What is the units digit of 107?
7
What is the tens digit of 1232?
3
What is the units digit of 1932?
2
What is the tens digit of 55196?
9
What is the thousands digit of 1259?
1
What is the ten thousands digit of 63947?
6
What is the tens digit of 503?
0
What is the tens digit of 8913?
1
What is the tens digit of 266?
6
What is the thousands digit of 33681?
3
What is the hundreds digit of 3574?
5
What is the units digit of 45965?
5
What is the units digit of 23233?
3
What is the units digit of 6717?
7
What is the tens digit of 541?
4
What is the units digit of 2?
2
What is the ten thousands digit of 16275?
1
What is the thousands digit of 11397?
1
What is the tens digit of 6311?
1
What is the units digit of 5?
5
What is the thousands digit of 6808?
6
What is the hundreds digit of 28369?
3
What is the thousands digit of 47668?
7
What is the hundreds digit of 29410?
4
What is the tens digit of 41926?
2
What is the hundreds digit of 2174?
1
What is the hundreds digit of 1031?
0
What is the hundreds digit of 1876?
8
What is the tens digit of 897?
9
What is the units digit of 690?
0
What is the ten thousands digit of 206030?
0
What is the units digit of 25528?
8
What is the units digit of 4457?
7
What is the thousands digit of 42197?
2
What is the hundreds digit of 7995?
9
What is the tens digit of 33859?
5
What is the ten thousands digit of 72032?
7
What is the tens digit of 7142?
4
What is the thousands digit of 126961?
6
What is the hundreds digit of 28524?
5
What is the thousands digit of 9576?
9
What is the hundreds digit of 23257?
2
What is the units digit of 49?
9
What is the thousands digit of 5577?
5
What is the thousands digit of 4770?
4
What is the thousands digit of 1112?
1
What is the units digit of 4736?
6
What is the units digit of 724?
4
What is the hundreds digit of 35796?
7
What is the units digit of 742?
2
What is the tens digit of 2960?
6
What is the thousands digit of 2405?
2
What is the hundreds digit of 61503?
5
What is the tens digit of 10784?
8
What is the units digit of 2579?
9
What is the thousands digit of 4618?
4
What is the tens digit of 7786?
8
What is the units digit of 1201?
1
What is the hundred thousands digit of 109741?
1
What is the units digit of 58207?
7
What is the ten thousands digit of 20581?
2
What is the hundreds digit of 397?
3
What is the hundreds digit of 7739?
7
What is the hundreds digit of 454?
4
What is the hundreds digit of 7439?
4
What is the tens digit of 11345?
4
What is the hundreds digit of 3559?
5
What is the hundreds digit of 5003?
0
What is the thousands digit of 1837?
1
What is the tens digit of 1288?
8
What is the hundreds digit of 4844?
8
What is the hundred thousands digit of 119485?
1
What is the ten thousands digit of 19620?
1
What is the units digit of 2098?
8
What is the tens digit of 60?
6
What is the thousands digit of 13451?
3
What is the hundreds digit of 4744?
7
What is the ten thousands digit of 177381?
7
What is the hundreds digit of 19757?
7
What is the tens digit of 47454?
5
What is the units digit of 6037?
7
What is the thousands digit of 157820?
7
What is the units digit of 69?
9
What is the thousands digit of 32577?
2
What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
252222*o - 23
What is the i'th term of -12932, -51367, -115304, -204737, -319660, -460067, -625952?
i**3 - 12757*i**2 - 171*i - 5
What is the h'th term of 5824, 11643, 17458, 23269, 29076, 34879?
-2*h**2 + 5825*h + 1
What is the k'th term of 79221, 80251, 81295, 82359, 83449, 84571, 85731?
k**3 + k**2 + 1020*k + 78199
What is the u'th term of 2498, 6104, 10844, 16742, 23822, 32108, 41624, 52394?
4*u**3 + 543*u**2 + 1949*u + 2
What is the d'th term of -1452666, -1452635, -1452604, -1452573, -1452542, -1452511?
31*d - 1452697
What is the v'th term of 84128, 336552, 757250, 1346222, 2103468?
84137*v**2 + 13*v - 22
What is the v'th term of -13703, -54814, -123367, -219392, -342919, -493978, -672599?
-5*v**3 - 13691*v**2 - 3*v - 4
What is the f'th term of 3077, 24372, 82131, 194582, 379953, 656472, 1042367, 1555866?
3038*f**3 + 4*f**2 + 17*f + 18
What is the x'th term of -113784, -227262, -340740, -454218, -567696, -681174?
-113478*x - 306
What is the h'th term of 549231, 548980, 548563, 547980, 547231, 546316?
-83*h**2 - 2*h + 549316
What is the d'th term of 915982, 3664378, 8245038, 14657962, 22903150, 32980602?
916132*d**2 - 150
What is the k'th term of 2452, 2718, 2946, 3130, 3264, 3342, 3358, 3306?
-k**3 - 13*k**2 + 312*k + 2154
What is the n'th term of -98223, -191725, -285227, -378729?
-93502*n - 4721
What is the g'th term of -1972903, -1972937, -1972971?
-34*g - 1972869
What is the m'th term of -11515, -10557, -8947, -6685, -3771?
326*m**2 - 20*m - 11821
What is the r'th term of -803, -2106, -3415, -4730, -6051, -7378, -8711?
-3*r**2 - 1294*r + 494
What is the a'th term of 11883, 14068, 16209, 18306, 20359, 22368?
-22*a**2 + 2251*a + 9654
What is the a'th term of 314535, 1257989, 2830361, 5031651, 7861859, 11320985?
314459*a**2 + 77*a - 1
What is the k'th term of 7463, 29044, 65143, 115766, 180919, 260608?
k**3 + 7253*k**2 - 185*k + 394
What is the y'th term of 712, 5905, 20108, 47851, 93664, 162077, 257620?
755*y**3 - 25*y**2 - 17*y - 1
What is the h'th term of 2294860, 4589790, 6884720, 9179650, 11474580, 13769510?
2294930*h - 70
What is the i'th term of 550, 2215, 4902, 8611, 13342, 19095, 25870?
511*i**2 + 132*i - 93
What is the w'th term of -4371, -6803, -9235, -11667, -14099, -16531?
-2432*w - 1939
What is the n'th term of -15824, -31789, -48040, -64721, -81976?
-24*n**3 + n**2 - 15800*n - 1
What is the m'th term of -135186, -135525, -135864, -136203, -136542, -136881?
-339*m - 134847
What is the j'th term of 205689, 822801, 1851321, 3291249, 5142585, 7405329?
205704*j**2 - 15
What is the c'th term of 34550, 276540, 933434, 2212700, 4321806, 7468220, 11859410, 17702844?
34578*c**3 - 16*c**2 - 8*c - 4
What is the j'th term of 8341, 33396, 75139, 133558, 208641, 300376, 408751, 533754?
-2*j**3 + 8356*j**2 + j - 14
What is the b'th term of -32588564, -32588558, -32588552?
6*b - 32588570
What is the x'th term of 491767, 981371, 1470975?
489604*x + 2163
What is the k'th term of 5421, 20572, 45819, 81162, 126601, 182136, 247767?
5048*k**2 + 7*k + 366
What is the g'th term of 7193711, 14387426, 21581155, 28774904, 35968679, 43162486, 50356331?
g**3 + g**2 + 7193705*g + 4
What is the s'th term of 6203, 12444, 18643, 24800, 30915, 36988?
-21*s**2 + 6304*s - 80
What is the u'th term of 5531, 10842, 15923, 20774?
-115*u**2 + 5656*u - 10
What is the u'th term of 1679012, 3358025, 5037038, 6716051, 8395064?
1679013*u - 1
What is the s'th term of 253, 1906, 3571, 5254, 6961, 8698, 10471, 12286?
s**3 + 1646*s - 1394
What is the z'th term of -7226, -58173, -196514, -465947, -910170, -1572881?
-7283*z**3 + z**2 + 31*z + 25
What is the n'th term of 3332, 5249, 7166, 9083, 11000, 12917?
1917*n + 1415
What is the g'th term of 73282, 74715, 76150, 77587, 79026?
g**2 + 1430*g + 71851
What is the q'th term of 2105361, 2105374, 2105387, 2105400, 2105413?
13*q + 2105348
What is the t'th term of -1076666, -2153062, -3229458, -4305854?
-1076396*t - 270
What is the i'th term of 1134, 5585, 12996, 23367, 36698, 52989, 72240?
1480*i**2 + 11*i - 357
What is the u'th term of -3634172, -3634171, -3634170, -3634169?
u - 3634173
What is the f'th term of 1332440, 1332430, 1332420, 1332410, 1332400?
-10*f + 1332450
What is the c'th term of 3934747, 3934733, 3934723, 3934717?
2*c**2 - 20*c + 3934765
What is the p'th term of -11555, -24261, -36967?
-12706*p + 1151
What is the b'th term of 2829, 2449, 1421, -579, -3875, -8791, -15651, -24779?
-54*b**3 - 2*b + 2885
What is the l'th term of 3262141443, 3262141441, 3262141437, 3262141431?
-l**2 + l + 3262141443
What is the g'th term of 5100, 20221, 45430, 80727, 126112?
5044*g**2 - 11*g + 67
What is the x'th term of 298676, 296699, 294722, 292745, 290768, 288791?
-1977*x + 300653
What is the c'th term of 3437, 3351, 3211, 3017?
-27*c**2 - 5*c + 3469
What is the x'th term of 84678506, 84678508, 84678512, 84678518, 84678526?
x**2 - x + 84678506
What is the x'th term of -9530872, -9530898, -9530938, -9530992, -9531060, -9531142?
-7*x**2 - 5*x - 9530860
What is the d'th term of -251964, -252423, -252882, -253341, -253800?
-459*d - 251505
What is the z'th term of -1767, -3115, -4333, -5421?
65*z**2 - 1543*z - 289
What is the b'th term of 19231, 37867, 55903, 73339, 90175, 106411?
-300*b**2 + 19536*b - 5
What is the w'th term of -56859, -57241, -57623, -58005, -58387, -58769?
-382*w - 56477
What is the n'th term of 2600, 10674, 24192, 43154, 67560, 97410, 132704?
2722*n**2 - 92*n - 30
What is the t'th term of 2312, -572, -5384, -12130, -20816?
-t**3 - 958*t**2 - 3*t + 3274
What is the g'th term of 372753, 372771, 372791, 372813, 372837, 372863?
g**2 + 15*g + 372737
What is the q'th term of 924, 3822, 8684, 15498, 24252, 34934, 47532?
-2*q**3 + 994*q**2 - 70*q + 2
What is the d'th term of 9590, 38343, 86248, 153299, 239490?
-d**3 + 9582*d**2 + 14*d - 5
What is the z'th term of 29, 114, 299, 614, 1089, 1754, 2639, 3774?
5*z**3 + 20*z**2 - 10*z + 14
What is the x'th term of -1091101, -1091065, -1091013, -1090939, -1090837, -1090701, -1090525, -1090303?
x**3 + 2*x**2 + 23*x - 1091127
What is the b'th term of 2470, 5128, 7834, 10588, 13390, 16240, 19138?
24*b**2 + 2586*b - 140
What is the c'th term of -6173, -7942, -9715, -11492, -13273, -15058?
-2*c**2 - 1763*c - 4408
What is the j'th term of -27936, -27879, -27822, -27765, -27708, -27651?
57*j - 27993
What is the o'th term of -90982, -181877, -272818, -363829, -454934, -546157?
-4*o**3 + o**2 - 90870*o - 109
What is the l'th term of -19702, -39599, -59496, -79393, -99290?
-19897*l + 195
What is the y'th term of 108396421, 108396426, 108396433, 108396442, 108396453, 108396466?
y**2 + 2*y + 108396418
What is the s'th term of 29689, 46433, 63177, 79921?
16744*s + 12945
What is the y'th term of -387938, -387928, -387918, -387908, -387898?
10*y - 387948
What is the b'th term of 8481, 17397, 26317, 35241?
2*b**2 + 8910*b - 431
What is the d'th term of 56031, 112669, 169279, 225867, 282439?
d**3 - 20*d**2 + 56691*d - 641
What is the i'th term of -297, -335, -139, 411, 1435, 3053?
20*i**3 - 3*i**2 - 169*i - 145
What is the n'th term of 33987220, 135948883, 305884988, 543795535, 849680524, 1223539955?
33987221*n**2 - 1
What is the m'th term of -758699, -758727, -758755, -758783, -758811?
-28*m - 758671
What is the m'th term of -78, 168, 406, 636, 858, 1072?
-4*m**2 + 258*m - 332
What is the q'th term of -1979759, -1979760, -1979761, -1979762?
-q - 1979758
What is the v'th term of -161425, -161425, -161439, -161467, -161509, -161565?
-7*v**2 + 21*v - 161439
What is the h'th term of -1154485, -1154482, -1154479, -1154476, -1154473, -1154470?
3*h - 1154488
What is the h'th term of -170986396, -341972784, -512959162, -683945524, -854931864, -1025918176, -1196904454, -1367890692?
h**3 - h**2 - 170986392*h - 4
What is the f'th term of 468561, 937157, 1405739, 1874301, 2342837?
-f**3 - f**2 + 468606*f - 43
What is the p'th term of 2310, 9980, 22754, 40632?
2552*p**2 + 14*p - 256
What is the m'th term of -809678, -1619345, -2429012, -3238679, -4048346, -4858013?
-809667*m - 11
What is the q'th term of -337273, -337589, -337907, -338227, -338549, -338873, -339199?
-q**2 - 313*q - 336959
What is the l'th term of -3356, -13185, -29568, -52505, -81996, -118041, -160640?
-3277*l**2 + 2*l - 81
What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
f 12918 to the nearest integer?
4
What is 10218788 to the power of 1/9, to the nearest integer?
6
What is the cube root of 1053399 to the nearest integer?
102
What is 929803 to the power of 1/2, to the nearest integer?
964
What is 2306700 to the power of 1/9, to the nearest integer?
5
What is the cube root of 126907 to the nearest integer?
50
What is the cube root of 517188 to the nearest integer?
80
What is 5755856 to the power of 1/9, to the nearest integer?
6
What is 4068843 to the power of 1/9, to the nearest integer?
5
What is the third root of 400068 to the nearest integer?
74
What is the fourth root of 233770 to the nearest integer?
22
What is 1067438 to the power of 1/10, to the nearest integer?
4
What is the tenth root of 332759 to the nearest integer?
4
What is 6520 to the power of 1/3, to the nearest integer?
19
What is 509928 to the power of 1/3, to the nearest integer?
80
What is 1213858 to the power of 1/2, to the nearest integer?
1102
What is the seventh root of 171511 to the nearest integer?
6
What is the fourth root of 2448164 to the nearest integer?
40
What is the fourth root of 2127034 to the nearest integer?
38
What is 1596795 to the power of 1/7, to the nearest integer?
8
What is the tenth root of 5179866 to the nearest integer?
5
What is the third root of 6094634 to the nearest integer?
183
What is 9497858 to the power of 1/10, to the nearest integer?
5
What is the third root of 15980532 to the nearest integer?
252
What is the third root of 1717312 to the nearest integer?
120
What is 867846 to the power of 1/3, to the nearest integer?
95
What is the fifth root of 369832 to the nearest integer?
13
What is the square root of 725778 to the nearest integer?
852
What is the cube root of 865965 to the nearest integer?
95
What is 17125279 to the power of 1/2, to the nearest integer?
4138
What is the eighth root of 769503 to the nearest integer?
5
What is 4553763 to the power of 1/2, to the nearest integer?
2134
What is the sixth root of 334642 to the nearest integer?
8
What is 241567 to the power of 1/5, to the nearest integer?
12
What is the cube root of 1083015 to the nearest integer?
103
What is 3541951 to the power of 1/9, to the nearest integer?
5
What is 2414016 to the power of 1/7, to the nearest integer?
8
What is 1170623 to the power of 1/2, to the nearest integer?
1082
What is 1852962 to the power of 1/3, to the nearest integer?
123
What is the square root of 3520349 to the nearest integer?
1876
What is the cube root of 1151014 to the nearest integer?
105
What is the eighth root of 704491 to the nearest integer?
5
What is the cube root of 1074898 to the nearest integer?
102
What is the third root of 143607 to the nearest integer?
52
What is the square root of 762511 to the nearest integer?
873
What is the square root of 3933130 to the nearest integer?
1983
What is the cube root of 212526 to the nearest integer?
60
What is 1742271 to the power of 1/3, to the nearest integer?
120
What is 938585 to the power of 1/2, to the nearest integer?
969
What is the ninth root of 56101 to the nearest integer?
3
What is the square root of 1302552 to the nearest integer?
1141
What is the third root of 238887 to the nearest integer?
62
What is the sixth root of 1678313 to the nearest integer?
11
What is the square root of 515904 to the nearest integer?
718
What is the sixth root of 78698 to the nearest integer?
7
What is 4174684 to the power of 1/2, to the nearest integer?
2043
What is 347956 to the power of 1/6, to the nearest integer?
8
What is the cube root of 637218 to the nearest integer?
86
What is the square root of 357882 to the nearest integer?
598
What is 1306004 to the power of 1/3, to the nearest integer?
109
What is 299947 to the power of 1/2, to the nearest integer?
548
What is the cube root of 227688 to the nearest integer?
61
What is 146686 to the power of 1/2, to the nearest integer?
383
What is 137514 to the power of 1/8, to the nearest integer?
4
What is 10026483 to the power of 1/6, to the nearest integer?
15
What is the cube root of 351199 to the nearest integer?
71
What is the square root of 11126405 to the nearest integer?
3336
What is the square root of 436835 to the nearest integer?
661
What is the third root of 405942 to the nearest integer?
74
What is 1261925 to the power of 1/3, to the nearest integer?
108
What is the seventh root of 8088349 to the nearest integer?
10
What is the cube root of 50906 to the nearest integer?
37
What is the square root of 249784 to the nearest integer?
500
What is 80800 to the power of 1/4, to the nearest integer?
17
What is 903618 to the power of 1/5, to the nearest integer?
16
What is 1349271 to the power of 1/9, to the nearest integer?
5
What is 10239510 to the power of 1/8, to the nearest integer?
8
What is the square root of 239470 to the nearest integer?
489
What is 27887263 to the power of 1/2, to the nearest integer?
5281
What is 4671516 to the power of 1/6, to the nearest integer?
13
What is the fourth root of 379208 to the nearest integer?
25
What is 266950 to the power of 1/3, to the nearest integer?
64
What is the square root of 349784 to the nearest integer?
591
What is the square root of 6641783 to the nearest integer?
2577
What is the ninth root of 4091088 to the nearest integer?
5
What is 1992448 to the power of 1/10, to the nearest integer?
4
What is the square root of 23563245 to the nearest integer?
4854
What is 1846551 to the power of 1/4, to the nearest integer?
37
What is the cube root of 511241 to the nearest integer?
80
What is the third root of 310391 to the nearest integer?
68
What is the third root of 318525 to the nearest integer?
68
What is 963588 to the power of 1/3, to the nearest integer?
99
What is the cube root of 303000 to the nearest integer?
67
What is 3303548 to the power of 1/2, to the nearest integer?
1818
What is 883484 to the power of 1/10, to the nearest integer?
4
What is 379948 to the power of 1/2, to the nearest integer?
616
What is 166586 to the power of 1/7, to the nearest integer?
6
What is 1116859 to the power of 1/2, to the nearest integer?
1057
What is 5761642 to the power of 1/3, to the nearest integer?
179
What is the seventh root of 32435354 to the nearest integer?
12
What is 9658308 to the power of 1/10, to the nearest integer?
5
What is 254684 to the power of 1/6, to the nearest integer?
8
What is the cube root of 1565098 to the nearest integer?
116
What is 774355 to the power of 1/3, to the nearest integer?
92
What is the cube root of 279924 to the nearest integer?
65
What is the square root of 328329 to the nearest integer?
573
What is 2673372 to the power of 1/5, to the nearest integer?
19
What is 792535 to the power of 1/5, to the nearest integer?
15
What is 132102 to the power of 1/8, to the nearest integer?
4
What is 545333 to the power of 1/5, to the nearest integer?
14
What is 5766054 to the power of 1/3, to the nearest integer?
179
What is the third root of 8359397 to the nearest integer?
203
What is 6930111 to the power of 1/2, to the nearest integer?
2633
What is 536429 to the power of 1/8, to the nearest integer?
5
What is 26403 to the power of 1/4, to the nearest integer?
13
What is the square root of 6447343 to the nearest integer?
2539
What is the square root of 1927575 to the nearest integer?
1388
What is the square root of 140598 to the nearest integer?
375
What is the fourth root of 24372087 to the nearest integer?
70
What is the cube root of 2616573 to the nearest integer?
138
What is the third root of 7275699 to the nearest integer?
194
What is the fifth root of 601262 to the nearest integer?
14
What is the third root of 64439 to the nearest integer?
40
What is the cube root of 4909472 to the nearest integer?
170
What is the third root of 73548 to the nearest integer?
42
What is 251497 to the power of 1/2, to the nearest integer?
501
What is 922472 to the power of 1/6, to the nearest integer?
10
What is 843923 to the power of 1/7, to the nearest integer?
7
What is the square root of 17725978 to the nearest integer?
4210
What is the cube root of 346453 to the nearest integer?
70
What is 599529 to the power of 1/3, to the nearest integer?
84
What is 36228 to the power of 1/2, to the nearest integer?
|
{
"pile_set_name": "DM Mathematics"
}
|
e of 166?
True
Is 4 a factor of 23389?
False
Is 228 a multiple of 57?
True
Does 13 divide 10436?
False
Is 16050 a multiple of 6?
True
Is 255 a multiple of 6?
False
Is 28 a factor of 812?
True
Does 36 divide 1188?
True
Is 9414 a multiple of 6?
True
Does 33 divide 3237?
False
Does 14 divide 2044?
True
Does 5 divide 300?
True
Does 25 divide 8373?
False
Is 23 a factor of 2697?
False
Is 1721 a multiple of 90?
False
Does 28 divide 446?
False
Does 24 divide 489?
False
Is 1684 a multiple of 11?
False
Is 4818 a multiple of 22?
True
Is 14 a factor of 560?
True
Is 6390 a multiple of 45?
True
Is 5 a factor of 3607?
False
Does 37 divide 1013?
False
Is 21 a factor of 4620?
True
Does 233 divide 128383?
True
Is 2101 a multiple of 11?
True
Is 1498 a multiple of 2?
True
Is 40 a factor of 7670?
False
Is 659 a multiple of 14?
False
Is 19272 a multiple of 9?
False
Is 10 a factor of 172?
False
Is 21 a factor of 1095?
False
Is 36 a factor of 8123?
False
Is 165 a factor of 27939?
False
Is 67 a factor of 3352?
False
Does 5 divide 727?
False
Is 6 a factor of 4386?
True
Is 16 a factor of 1067?
False
Is 3487 a multiple of 11?
True
Does 4 divide 540?
True
Is 88 a factor of 118008?
True
Is 8540 a multiple of 61?
True
Is 8318 a multiple of 99?
False
Is 12 a factor of 432?
True
Does 77 divide 2849?
True
Is 242 a factor of 10605?
False
Is 30856 a multiple of 152?
True
Does 71 divide 4260?
True
Is 544 a multiple of 136?
True
Is 62 a multiple of 24?
False
Does 119 divide 3927?
True
Is 16261 a multiple of 23?
True
Is 12147 a multiple of 28?
False
Is 2 a factor of 5?
False
Does 122 divide 27061?
False
Does 5 divide 75?
True
Does 13 divide 299?
True
Does 27 divide 5211?
True
Is 32 a factor of 4795?
False
Is 355 a multiple of 32?
False
Does 46 divide 5561?
False
Is 885 a multiple of 15?
True
Is 6 a factor of 2456?
False
Does 8 divide 8?
True
Is 5 a factor of 6808?
False
Is 19305 a multiple of 117?
True
Is 10 a factor of 16460?
True
Is 25 a factor of 2025?
True
Is 41 a factor of 23944?
True
Is 6 a factor of 1135?
False
Is 10 a factor of 4696?
False
Is 1139 a multiple of 54?
False
Is 344 a multiple of 3?
False
Does 56 divide 141?
False
Is 25 a factor of 2619?
False
Is 545 a factor of 2873?
False
Does 64 divide 1280?
True
Is 46 a factor of 17169?
False
Does 71 divide 2268?
False
Does 20 divide 144?
False
Is 2243 a multiple of 18?
False
Is 27 a factor of 29799?
False
Is 1425 a multiple of 19?
True
Is 55139 a multiple of 29?
False
Is 83 a multiple of 9?
False
Does 55 divide 165?
True
Is 40 a factor of 7560?
True
Is 529 a multiple of 23?
True
Does 11 divide 114290?
True
Does 12 divide 21996?
True
Does 81 divide 5832?
True
Does 23 divide 86043?
True
Is 3814 a multiple of 94?
False
Is 40 a factor of 1198?
False
Does 17 divide 4592?
False
Does 4 divide 5323?
False
Does 16 divide 1238?
False
Is 32 a factor of 2656?
True
Does 18 divide 93?
False
Does 115 divide 5865?
True
Is 4546 a multiple of 19?
False
Is 111 a multiple of 3?
True
Is 7 a factor of 35788?
False
Is 19 a factor of 3002?
True
Is 6 a factor of 597?
False
Is 9 a factor of 2958?
False
Does 11 divide 539?
True
Does 22 divide 22?
True
Does 19 divide 76?
True
Is 219 a multiple of 8?
False
Is 32 a factor of 19424?
True
Is 3024 a multiple of 28?
True
Does 23 divide 1863?
True
Does 16 divide 29949?
False
Is 30 a factor of 178?
False
Does 3 divide 200?
False
Is 13246 a multiple of 26?
False
Is 1196 a multiple of 52?
True
Is 2086 a multiple of 2?
True
Does 224 divide 49280?
True
Is 4 a factor of 1580?
True
Does 46 divide 1288?
True
Does 8 divide 30112?
True
Is 866 a multiple of 57?
False
Is 39 a factor of 5024?
False
Is 9 a factor of 828?
True
Does 40 divide 720?
True
Is 748 a multiple of 44?
True
Is 561 a multiple of 127?
False
Does 44 divide 138908?
True
Is 32 a factor of 2803?
False
Is 162 a factor of 31466?
False
Is 304 a multiple of 8?
True
Does 74 divide 379?
False
Is 132 a multiple of 18?
False
Does 106 divide 13234?
False
Does 4 divide 404?
True
Is 2426 a multiple of 25?
False
Is 30 a factor of 10951?
False
Is 6 a factor of 1213?
False
Does 3 divide 45?
True
Does 10 divide 3064?
False
Is 86 a factor of 59254?
True
Is 69438 a multiple of 71?
True
Does 6 divide 4685?
False
Is 86 a factor of 754?
False
Does 117 divide 6560?
False
Does 121 divide 6776?
True
Is 5316 even?
True
Is 193 a factor of 20458?
True
Does 6 divide 4156?
False
Is 66 a factor of 462?
True
Does 15 divide 750?
True
Does 20 divide 360?
True
Is 7936 a multiple of 31?
True
Is 5942 a multiple of 31?
False
Is 56 a factor of 2375?
False
Is 10 a factor of 3072?
False
Does 20 divide 30596?
False
Does 25 divide 2100?
True
Does 28 divide 2088?
False
Does 25 divide 250?
True
Does 20 divide 21500?
True
Is 2 a factor of 668?
True
Is 34144 a multiple of 289?
False
Does 112 divide 2352?
True
Is 82 a factor of 31597?
False
Is 1506 a multiple of 16?
False
Does 11 divide 462?
True
Is 6410 a multiple of 36?
False
Is 11 a factor of 2585?
True
Does 174 divide 208?
False
Is 19 a factor of 156?
False
Is 39 a factor of 20635?
False
Is 58 a multiple of 29?
True
Is 3648 a multiple of 6?
True
Is 70 a factor of 2100?
True
Does 52 divide 26416?
True
Does 4 divide 1097?
False
Is 875 a multiple of 39?
False
Is 48776 a multiple of 28?
True
Is 2194 even?
True
Does 8 divide 128?
True
Is 25 a multiple of 2?
False
Does 21 divide 798?
True
Is 1199 a multiple of 11?
True
Does 14 divide 173?
False
Is 650 a multiple of 50?
True
Is 120764 a multiple of 76?
True
Is 833 a multiple of 119?
True
Does 3 divide 33?
True
Is 16280 a multiple of 69?
False
Is 82 a factor of 3608?
True
Is 37 a factor of 3007?
False
Does 82 divide 10578?
True
Is 2240 a multiple of 13?
False
Is 44 a factor of 1936?
True
Is 107 a factor of 2128?
False
Is 702 a multiple of 39?
True
Does 20 divide 305?
False
Does 15 divide 399?
False
Is 7 a factor of 895?
False
Is 20862 a multiple of 6?
True
Is 95 a factor of 3332?
False
Does 8 divide 1227?
False
Is 78 a factor of 5397?
False
Is 33 a factor of 1650?
True
Does 53 divide 136?
False
Does 11 divide 88?
True
Does 14 divide 4564?
True
Is 93 a factor of 2039?
False
Is 4550 a multiple of 50?
True
Is 195 a multiple of 8?
False
Is 90 a factor of 10890?
True
Is 4248 a multiple of 33?
False
Does 25 divide 45750?
True
Does 25 divide 2914?
False
Does 36 divide 792?
True
Does 111 divide 7992?
True
Is 149 a factor of 12034?
False
Is 8 a factor of 20364?
False
Does 39 divide 507?
True
Is 6055 a multiple of 151?
False
Does 16 divide 7745?
False
Does 5 divide 2295?
True
Is 17459 a multiple of 17?
True
Is 1521 a multiple of 117?
True
Is 34 a factor of 2040?
True
Is 19 a factor of 185?
False
Is 625 a multiple of 8?
False
Is 62 a factor of 434?
True
Does 51 divide 3315?
True
Does 333 divide 36176?
False
Is 46 a factor of 644?
True
Is 3682 a multiple of 10?
False
Is 6 a factor of 72?
True
Does 13 divide 7998?
False
Does 5 divide 54381?
False
Is 2912 a multiple of 13?
True
Is 59760 a multiple of 16?
True
Does 156 divide 2118?
False
Does 17 divide 461?
False
Does 43 divide 387?
True
Does 46 divide 14605?
False
Does 56 divide 5140?
False
Is 18 a factor of 45828?
True
Is 238 a multiple of 14?
True
Is 57 a multiple of 3?
True
Is 154 a factor of 2543?
False
Is 11 a factor of 6996?
True
Is 6 a factor of 870?
True
Is 31516 a multiple of 18?
False
Is 23 a factor of 276?
True
Does 46 divide 368?
True
Does 11 divide 27980?
False
Does 61 divide 2318?
True
Is 36 a factor of 31968?
True
Is 43 a factor of 5203?
True
Does 3 divide 208?
False
Is 976 a multiple of 122?
True
Is 3520 a multiple of 32?
True
Is 16 a factor of 432?
True
Does 35 divide 7617?
False
Does 12 divide 1859?
False
Is 19 a factor of 37031?
True
Is 26304 a multiple of 64?
True
Is 1026 a multiple of 2?
True
Is 1769 a multiple of 47?
False
Is 2599 a multiple of 7?
False
Is 65 a multiple of 65?
True
Does 6 divide 1776?
True
Does 14 divide 18536?
True
Does 89 divide 6230?
True
Is 14 a factor of 854?
True
Is 5 a factor of 7060?
True
Is 2553 a multiple of 23?
True
Does 65 divide 2649?
False
Is 11 a factor of 97966?
True
Does 4 divide 16?
True
Is 546 a multiple of 42?
True
Does 34 divide 578?
True
Is 748 a multiple of 29?
False
Does 385 divide 79282?
False
Is 358 a multiple of 12?
False
Is 1955 a multiple of 115?
True
Is 41 a factor of 1066?
True
Is 64 a factor o
|
{
"pile_set_name": "DM Mathematics"
}
|
rs picked without replacement from hekkeihi.
1/7
What is prob of picking 3 i and 1 r when four letters picked without replacement from {r: 3, i: 12}?
44/91
Calculate prob of picking 1 u and 1 k when two letters picked without replacement from bokqueou.
1/14
Three letters picked without replacement from rttprssqy. What is prob of picking 1 y, 1 q, and 1 t?
1/42
Two letters picked without replacement from {a: 7, v: 2, j: 7}. Give prob of picking 1 v and 1 j.
7/60
Two letters picked without replacement from {c: 9, n: 3}. Give prob of picking 1 n and 1 c.
9/22
Four letters picked without replacement from mmggmmgggggggg. What is prob of picking 4 m?
1/1001
What is prob of picking 1 v, 1 k, and 1 y when three letters picked without replacement from jiokkyv?
2/35
What is prob of picking 4 w when four letters picked without replacement from wwwbwwwwwwwwwwwwwww?
15/19
What is prob of picking 1 b and 2 j when three letters picked without replacement from {b: 7, r: 2, j: 3}?
21/220
What is prob of picking 1 x and 1 k when two letters picked without replacement from {x: 7, k: 12}?
28/57
Two letters picked without replacement from {l: 2, v: 2, o: 3, s: 1, t: 6}. Give prob of picking 1 l and 1 s.
2/91
Calculate prob of picking 1 n, 2 b, and 1 g when four letters picked without replacement from {a: 1, n: 1, j: 1, h: 1, b: 2, g: 1}.
1/35
Two letters picked without replacement from {w: 1, z: 5, k: 2, r: 5, v: 5}. Give prob of picking 1 z and 1 v.
25/153
Four letters picked without replacement from {v: 5, u: 15}. What is prob of picking 1 v and 3 u?
455/969
Two letters picked without replacement from {k: 3, j: 4, n: 6, p: 1}. Give prob of picking 1 j and 1 p.
4/91
Two letters picked without replacement from eeeelllllwleepwlllel. What is prob of picking 1 l and 1 p?
1/19
Calculate prob of picking 2 s when two letters picked without replacement from {s: 4, u: 1, z: 2}.
2/7
Three letters picked without replacement from ihrh. Give prob of picking 2 h and 1 i.
1/4
Two letters picked without replacement from eewweweawjhwr. Give prob of picking 1 h and 1 e.
2/39
Four letters picked without replacement from {a: 6, h: 2, b: 1, m: 3}. What is prob of picking 1 a, 1 b, 1 m, and 1 h?
4/55
Calculate prob of picking 1 h, 1 b, and 1 e when three letters picked without replacement from hfwbewebbb.
1/15
Calculate prob of picking 2 m and 1 w when three letters picked without replacement from mmwwwmwwwmwwmmwwmww.
84/323
Three letters picked without replacement from pptqqbpbbbtbq. What is prob of picking 1 p and 2 q?
9/286
Two letters picked without replacement from {p: 3, f: 4}. What is prob of picking 1 f and 1 p?
4/7
Two letters picked without replacement from {d: 3, z: 2, c: 3, r: 5}. What is prob of picking 1 d and 1 c?
3/26
What is prob of picking 2 u and 1 m when three letters picked without replacement from {c: 5, m: 1, u: 7, y: 5}?
7/272
Three letters picked without replacement from {q: 1, y: 1, j: 3, n: 5, f: 1, d: 1}. Give prob of picking 1 d and 2 n.
1/22
Calculate prob of picking 2 a and 2 b when four letters picked without replacement from bbcbcaacbccaba.
60/1001
Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {p: 1, c: 1, s: 2, g: 2, u: 1, y: 1}.
1/14
Three letters picked without replacement from jcoo. Give prob of picking 2 o and 1 c.
1/4
Three letters picked without replacement from tptpexpxteppnnppnn. Give prob of picking 1 x and 2 n.
1/68
Two letters picked without replacement from uzmtn. What is prob of picking 1 z and 1 n?
1/10
What is prob of picking 2 o when two letters picked without replacement from {z: 3, o: 7}?
7/15
Two letters picked without replacement from tutvxtxdxxxtn. Give prob of picking 1 u and 1 t.
2/39
Four letters picked without replacement from {z: 2, n: 3}. What is prob of picking 2 z and 2 n?
3/5
Three letters picked without replacement from {s: 1, e: 2, v: 4, t: 3, r: 1}. What is prob of picking 1 r and 2 t?
1/55
Three letters picked without replacement from {d: 8, n: 2, z: 2, v: 1}. Give prob of picking 1 d and 2 n.
4/143
What is prob of picking 1 z, 1 p, 1 m, and 1 n when four letters picked without replacement from pnzmb?
1/5
Four letters picked without replacement from eeaaaeaeaeee. Give prob of picking 4 e.
7/99
Calculate prob of picking 1 a, 1 t, and 1 d when three letters picked without replacement from attdfaaaflatjfd.
6/91
Three letters picked without replacement from kkkakkkkaak. What is prob of picking 2 a and 1 k?
8/55
Four letters picked without replacement from bnulbnwuwunbqwnnb. Give prob of picking 1 u, 2 w, and 1 n.
9/476
Two letters picked without replacement from {m: 9, q: 2, a: 2, c: 1}. Give prob of picking 1 m and 1 c.
9/91
What is prob of picking 1 g and 3 b when four letters picked without replacement from gbbbbgbgbbgbgbbb?
165/364
What is prob of picking 1 a and 1 u when two letters picked without replacement from uffa?
1/6
Three letters picked without replacement from uuuuyyuu. Give prob of picking 2 u and 1 y.
15/28
Four letters picked without replacement from ddddddd. Give prob of picking 4 d.
1
Four letters picked without replacement from {n: 4, f: 10}. What is prob of picking 4 f?
30/143
Four letters picked without replacement from {c: 5, u: 4, x: 4, j: 6}. What is prob of picking 3 u and 1 x?
4/969
Three letters picked without replacement from {o: 4, p: 1, r: 4, t: 1, d: 3}. What is prob of picking 2 r and 1 t?
3/143
Two letters picked without replacement from {k: 2, y: 2, n: 1, u: 1}. Give prob of picking 2 k.
1/15
Calculate prob of picking 2 x and 1 b when three letters picked without replacement from xeexxeeeexebxeexex.
7/272
Calculate prob of picking 1 m and 3 s when four letters picked without replacement from msmuusmvmvssssv.
16/273
Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {k: 5, h: 9}.
45/91
Calculate prob of picking 2 j when two letters picked without replacement from jssoj.
1/10
Calculate prob of picking 1 w, 1 g, 1 u, and 1 y when four letters picked without replacement from {i: 1, d: 2, u: 1, y: 2, g: 1, w: 1}.
1/35
Calculate prob of picking 3 w and 1 s when four letters picked without replacement from {w: 3, k: 10, s: 2}.
2/1365
Four letters picked without replacement from {t: 5, c: 1, i: 7, k: 5}. Give prob of picking 4 t.
1/612
Three letters picked without replacement from {t: 2, a: 1, x: 6, h: 1, v: 2, q: 3}. Give prob of picking 1 q and 2 t.
3/455
Two letters picked without replacement from hhjjhhhjjhjjhjjhjhh. Give prob of picking 2 j.
4/19
Three letters picked without replacement from {g: 2, e: 5}. What is prob of picking 3 e?
2/7
Calculate prob of picking 1 n, 1 u, and 1 b when three letters picked without replacement from {j: 1, n: 7, b: 4, u: 1}.
14/143
Three letters picked without replacement from xdudtuudxuvuduvd. What is prob of picking 2 d and 1 u?
3/28
Calculate prob of picking 3 p and 1 d when four letters picked without replacement from {f: 2, d: 1, j: 1, p: 3}.
1/35
Three letters picked without replacement from {z: 9, u: 1, c: 2, m: 3, b: 2}. What is prob of picking 1 b, 1 u, and 1 c?
1/170
Calculate prob of picking 1 d, 1 j, and 1 n when three letters picked without replacement from {d: 2, m: 1, j: 1, n: 1}.
1/5
Two letters picked without replacement from kkkykykykykkyyyyyyky. Give prob of picking 2 y.
11/38
Calculate prob of picking 2 k when two letters picked without replacement from kjjkkkjkjjkjjkkjkkj.
5/19
What is prob of picking 1 s and 1 m when two letters picked without replacement from {y: 3, s: 1, m: 5, h: 1}?
1/9
What is prob of picking 1 b, 1 i, 1 n, and 1 j when four letters picked without replacement from ucjjunbjccni?
2/165
What is prob of picking 1 v and 1 m when two letters picked without replacement from vhhrhhmmajhhhah?
2/105
Calculate prob of picking 2 n when two letters picked without replacement from {n: 7}.
1
Calculate prob of picking 2 z when two letters picked without replacement from ttztttzztttttz.
6/91
Calculate prob of picking 1 g and 1 i when two letters picked without replacement from {h: 6, i: 6, m: 4, g: 1}.
3/68
Two letters picked without replacement from ngnnnnnuugsnggssgs. What is prob of picking 1 g and 1 u?
10/153
Calculate prob of picking 1 p, 1 z, and
|
{
"pile_set_name": "DM Mathematics"
}
|
t + 0. Let k = -8/5 - -1/10. What is the closest to 1 in k, l, -3?
l
Let s = -15 + 19. Which is the nearest to 1? (a) 5/3 (b) s (c) 3
a
Let a = -4 - -4.2. Let v = 4 - 4.2. What is the nearest to v in a, -4, 2/7?
a
Suppose -r + 6 = 2*c, 2*c = -0*r + 5*r - 6. What is the closest to 1 in r, -2/13, -2/9?
r
Suppose 4*t - 2*z + 4 = 2*z, 0 = -4*t + 2*z. Let g = -1 + 0.6. Let v = -59 + 57. Which is the nearest to v? (a) t (b) 0 (c) g
c
Let l = 10 - 9.9. Let k be -7 + 0 + 4/2. What is the closest to l in 1, -0.3, k?
-0.3
Let w = 10 - 9.9. Let g(o) = -o**2 - 4*o + 3. Let n be g(-4). Let v(i) = 2*i - 2. Let t be v(n). Which is the closest to w? (a) t (b) -1/4 (c) 1
b
Let z = 0.1 + -0.1. Let t = -23 + 23. Let u = t - z. What is the nearest to u in -0.1, -0.3, 0.5?
-0.1
Let t be (-3)/(-18)*(81/(-6))/(-9). Let p be (-2)/8 - (-250)/904. Let w = 247/791 - p. Which is the closest to t? (a) -0.2 (b) w (c) -2
b
Let w = 4.7 - 5. Let l = -0.6 - w. Which is the nearest to -2? (a) -0.5 (b) l (c) 2/3
a
Let j be -1 - (8/(-6) + 0). Let z = -5.9 - -6. Let h = 11 + -65/6. Which is the nearest to 1? (a) h (b) j (c) z
b
Let w = -2 + 2. Suppose 5*z + 0 - 10 = w. What is the nearest to -0.2 in 1, -0.1, z?
-0.1
Let k = -0.3 + 2.3. Let i = -3 + k. Let w = 118 + -113. Which is the nearest to -0.1? (a) w (b) i (c) 0.2
c
Let b be -1 + (0 - 0) + -15. Let k be (2/b)/((-2)/(-4)). Let w = 116 - 116. What is the closest to k in -5, w, 4?
w
Let j be (-2 - -1)/(2/10). What is the closest to -2/3 in j, -1/5, 0.1?
-1/5
Let z = 6.1 + -2.6. Let f = 2.5 - z. Which is the closest to f? (a) 0.5 (b) -5 (c) -4
a
Let s = 7.4 - 8. Let z = s - -0.6. Which is the nearest to z? (a) 5 (b) 2 (c) 1/5
c
Let i be (2 - -2)*((-75)/(-18) - 4). Let q = -0.02 - -0.52. Which is the closest to i? (a) -2/23 (b) 1 (c) q
c
Let z = 3 + 0. Let l = 0.5 - 0. Let q = 0.3 - l. What is the nearest to q in 1, z, -4?
1
Let s = 0 - 0. Let f be (6/9)/((-6)/(-801)). Let p = -625/7 + f. What is the closest to 1/2 in p, -1, s?
s
Let d = -0.08 + 0.23. Let m = d + -0.05. Let y be 3*((-6)/4 + 1). What is the closest to 0 in m, -3/5, y?
m
Let p be ((-1)/(-9))/(11/(-22)). Which is the closest to 0? (a) p (b) 2 (c) -1
a
Let o = -23 - -21. What is the nearest to 1/4 in o, -0.5, -0.2?
-0.2
Let z be (2 + 20/(-8))*1. What is the closest to z in 1, 4, 5/3?
1
Let u = 3 + -1. Let h = u + -1. Let m = 34 - 372/11. Which is the nearest to h? (a) 5 (b) m (c) -1
b
Let l be (0/(-7 + 4))/2. What is the closest to 2 in l, -2/17, -4?
l
Let l be 4/(-14) + 150/35. Let o(w) = -w**2 + 4*w - 2. Let y be o(l). What is the nearest to -0.3 in y, 5, 0.1?
0.1
Let r = 5 + -10. Which is the closest to -10? (a) 0.3 (b) -3 (c) r
c
Let l = -45/4 - -593/52. Let k = 0.1 - -0.1. Which is the nearest to -2? (a) l (b) 4 (c) k
a
Let u = 123 - 122.7. What is the closest to 0.1 in -3.7, 0.1, u?
0.1
Let c be 34/255 - 43/(-15). What is the nearest to 1/8 in 1, c, -2/11?
-2/11
Let s = 5.9 - -0.1. Let h = -8 + s. Let d = 2 - h. Which is the closest to 1/4? (a) -0.2 (b) d (c) 1/4
c
Suppose 4*u + 43 = 15. Let k be (-8)/(-14)*u/(-14). What is the closest to 1/5 in -2/5, 4, k?
k
Let c be (-4 - -3) + 6/2. Let p be ((-8)/90)/(c/5). What is the closest to 0 in p, -4, -0.4?
p
Let i = 536/2827 - 2/257. Let k = 27 + -27.2. What is the nearest to 2/5 in k, 5/4, i?
i
Let i = 3 + -4. Let a = 0.18 + 6.82. Let n = 8 - a. What is the nearest to n in -0.4, i, -2/13?
-2/13
Suppose -5*j - 3*f = -1 - 18, f - 11 = -4*j. Let v be (3 + 2 - j)*-1. Which is the nearest to 2/3? (a) 3/7 (b) -2 (c) v
a
Let q be (-2)/(-3) + (-8)/21. Let o = -0.5 + 0. Which is the closest to 0? (a) 5 (b) o (c) q
c
Let o = -0.1 - -0.6. Let c = 5.9 + 0.1. Let p = c - 7. What is the closest to p in o, -4, -1/3?
-1/3
Let v = 33.5 - 34. Which is the nearest to -1/3? (a) -4 (b) -1 (c) v
c
Let x = -147 - -146.9. What is the closest to x in -5, 0.25, 3?
0.25
Let m = -6 + 7. Let s(i) = 2*i**2 + 3*i + 3. Let v be s(-2). Let l be 3*(12/10 - 1). Which is the closest to m? (a) -5 (b) l (c) v
b
Let i = 45 + -42. Let c = 38 - 24. Let a be 0 - 1 - c/(-10). What is the closest to a in 1/3, 0.2, i?
1/3
Let j(f) = f**3 - f**2 - f - 1. Let h be j(0). Let d = 0.9 - 1. Which is the nearest to h? (a) d (b) -2/5 (c) -3/5
c
Let p be (-1*1)/(24/6 + -6). What is the closest to 1/3 in -1/4, -1, p?
p
Suppose -5*l + 11 = 4*m, 4*m - 2*l + 9 = -1. What is the nearest to -1 in 5, m, -1/3?
m
Let d = -45.5 - -46. What is the closest to 1 in d, 0.2, 2?
d
Let n = -425 - -7227/17. What is the closest to 1 in n, 1/4, 4?
1/4
Let p = 0.18 + -0.08. What is the closest to 4 in -0.5, p, -0.1?
p
Let u = -7 - -7.1. Suppose -5*w = -3*c - 55, 0 = -c - c - 10. Let g = w - 5. What is the nearest to u in 1/3, g, -3/5?
1/3
Let a = 22 - 22. What is the closest to a in 0.4, -0.2, -2/11?
-2/11
Suppose 0 = h + 2*p - 5, -p + 0*p = -5*h - 30. Let z(o) = -o**3 - 6*o**2 - 4*o + 3. Let u be z(h). What is the nearest to -1/3 in 1/9, 0, u?
0
Let d = 7 - 9. Let v = -0.2 - -0.2. Which is the closest to d? (a) -3 (b) -2 (c) v
b
Let n = 44/105 + -2/15. Let i = 15.3 + -15. What is the nearest to n in i, -2, -3?
i
Let r be 0 - (-3 - 1 - -1). Suppose m + r*l - 2 - 2 = 0, -36 = -3*m + 3*l. Let g be m/25 - (-38)/(-20). Which is the nearest to 1? (a) 5 (b) 3 (c) g
b
Let u = -0.8 + 0.3. Let g = -3 + -1. Let r = 3/52 - -5/26. Which is the closest to 0.1? (a) r (b) u (c) g
a
Let m = -2 - -2.1. Let g = m + 0. Which is the closest to g? (a) -0.4 (b) 0.1 (c) 5
b
Let g = 0 + -0.1. Suppose c = 5*p - 22, -2*c + 3 = -2*p + 15. Let z = -1 + c. What is the nearest to -1 in 0.2, z, g?
g
Let h = 49 - 48. Let z be 2/(-2)*-1 + 0. Which is the closest to z? (a) 0.3 (b) h (c) 0.5
b
Let k = -4 + 3. Let i = k + 0. What is the closest to i in 4, -0.4, -2?
-0.4
Let k be (-5)/6 - 8/(-24). Let l = -0.03 + 0.93. Let s = l + 0.1. Which is the closest to s? (a) k (b) 1 (c) 0.1
b
Let t = 114.99 - 109. Let n = -0.01 - t. Let o = n + 10. Which is the closest to 1? (a) 3 (b) -3 (c) o
a
Let l = 0.1 - -2.9. Let y = 3 - l. Let s = 252 + -1013/4. Which is the nearest to y? (a) s (b) 1/8 (c) 2
b
Let w = -0.1 - -0.2. Suppose -14 = 2*z - 16*z. Let y = 39/154 + -1/14. What is the closest to z in w, y, -0.5?
y
Let w be (-1)/(-7)*(-56)/(-16). Let a = -0.2 - -0.2. What is the nearest to 0 in a, 3/2, w?
a
Let z be (2 + 0)/((1 - 5)*1). Let q = -0.32 - -0.02. Which is the closest to -3? (a) z (b) q (c) 1
a
Suppose -c + 0 = 1. Let q be c/(-14) + (-5)/10. Let z = q + 33/28. What is the nearest to -1 in 3, z, -2/7?
-2/7
Suppose p + 15 = 5*l, 2*l - 6 = -0*l + 2*p. Let n(w) = -2*w**2 + 2*w + 2. Let h be n(2). Let i be h + -2*1*-1. What is the closest to -0.1 in l, i, -1/9?
-1/9
Let i = 5.7 - 6. Let u = -2.4 + 2. What is the closest to i in 2/5, u, 3?
u
Let g(z) = z**3 - 9*z**2 + z - 9. Let n be g(9). Let j be 2/(9 - 5) - (-3)/(-4). Which is the closest to j? (a) 3 (b) n (c) 1
b
Let q(f) = f**2 - f - 7. Let l be q(3). Let x = -6 + 3. Let v = 1 - 0. Which is the nearest to v? (a) 0.4 (b) x (c) l
a
Let l be (-18)/(-42) + (-96)/(-21). What is the nearest to 4 in 2/11, 1/2, l?
l
Let v = -0.465 - 0.035. What is the closest to 0.1 in 3, v, 1?
v
Let i = 1.15 + 0.79. Let y = 7 + -7.06. Let u = i - y. What is the nearest to 1/3 in -3, -1/4, u?
-1/4
Let v = 1.2 - 6.2. Let w = -4.5 - v. Which is the nearest to -0.1? (a) 4 (b) w (c) -1/7
c
Let d = 6.1 + -1.1. Let v = -3.93 - 0.07. Which is the closest to 0? (a) d (b) v (c) 2/5
c
Let h be (4/(-35))/((-4)/10). Let m = -66 - -65. Which is the closest to 0? (a) m (b) h (c) 3
b
Let d be (233/5)/((-504)/15). Let f = d - -3/56. Let n = 0.2 + -0.3. What is the closest to n in f, 0.3, -5?
0.3
Let s be 10/14 - (-2)/7. Let p = 85 - 84. What is the nearest to p in -5, s, 2/11?
s
Let m = 364 + -345.9. Let s = m - 19. Let o = 0.1 - s. Which is the nearest to 0.1? (a) -1 (b) o (c) 1/3
c
Let b = 0.6 + -1.4. Let k = -3.8 - b. What is the closest to -0.4 in k, 4/7, -1/2?
-1/2
Let z(n) = n**3 - 5*n**2 - 7*n + 6. Let u be z(6). Which is the nearest to u? (a) 1/4 (b) -1.2 (c) -1/3
a
Let t be 2 + 12/(-7) + (-22)/28. Let k = 1.95 - 2. Let g = k - 3.95. What is the closest to t in 1/2, 0.2, g?
0.2
Let w = -139 + 691/5
|
{
"pile_set_name": "DM Mathematics"
}
|
g) = g**2 + 5*g + 1. Let d(j) = j**3 + 12*j**2 + 10*j - 9. Let f be d(-11). Let i = f - 2. Suppose -27 = 3*w + 3*s, -w + i*s - 19 = 3*s. What is c(w)?
-3
Let d(o) = -2*o**3 - 6*o**2 - 7*o + 1. Let m be (36/84)/((-39)/182). What is d(m)?
7
Let i be 8/40 + (-42)/(-15). Suppose l + 4 = 0, -34 = i*g - 0*g + l. Let n(a) = -a**3 - 9*a**2 + 10*a + 3. Determine n(g).
3
Let h(w) = w**3 - 6*w + 12. Let s be (-2 + 6 - 4)*5/((-90)/9). Give h(s).
12
Suppose -3*y + 3 = 3*o, 5*o + 99 = -4*y + 104. Let m(c) = -c**2 + 18*c + 28. What is m(y)?
28
Let j(i) = -i**2 - 6*i + 12. Let u be j(-7). Let b(l) = 3*l - 2*l**2 - u*l**3 - 3 + 2 + 3*l**3 + 3*l**3. Let r = -1965 - -1967. What is b(r)?
5
Let a(k) = -7*k + 0*k + 16*k**2 + 25*k**2 - 42*k**2. Determine a(-6).
6
Let c(k) = -k**2 + 14*k + 5. Let g(a) = -a**2 - 116*a - 653. Let y be g(-6). Calculate c(y).
54
Let o(w) = -w**2 + 19*w - 53. Let r be o(18). Let s = -32 - r. Let z(f) = 5*f**2 + f**3 - f**2 - 2*f**s - 2 - 8*f**2. What is z(-4)?
-2
Suppose 11*p = 2*p - 90. Let y(g) be the third derivative of -g**4/24 - 2*g**3 - 77*g**2 + 6*g. Determine y(p).
-2
Let h(x) be the second derivative of 7*x**3/6 + 33*x**2/2 + 5311*x. Calculate h(-6).
-9
Let t = -226 + 227. Let p(x) = -2*x**3 - 5*x + 3. Let v(g) = -g**3 + g**2 - g + 2. Let s(k) = t*p(k) - 3*v(k). Determine s(3).
-9
Let l(y) = 5*y**2 + 12*y - 20. Let i be l(6). Let x be ((-3)/(-15) - 0) + i/40. Let m(j) = -7 + 0*j**3 + 8*j - 2 + 5*j**2 - j**3. Give m(x).
3
Let y(q) = -3*q**2 + 3*q + 6. Let l = -3078 + 3076. Give y(l).
-12
Let d(y) = 14*y + 661 - 867 - 8*y + 26*y - 74*y. Give d(-5).
4
Let y(k) = -k**3 - k**2 + 18*k - 70. Suppose 4*b - 4*i - 327 = -363, 5*b - i = -33. What is y(b)?
2
Let u(a) = 10 - 14 - 2324*a - 2326*a + 4646*a - a**2. Let c(y) = y**3 - 3*y**2 - 6*y + 5. Let d be c(4). Give u(d).
-1
Let g(q) = q**3 + 10*q**2 - q + 13. Suppose -k - 5*r - 73 = -38, -5*k = -4*r + 30. What is g(k)?
23
Let y(b) = -8*b + 19. Let m(r) = -7*r + 20. Let w(c) = 4*m(c) - 3*y(c). Let d be w(7). Let j be (6/d)/((-33)/(-220)). Let a(v) = v + 5. Give a(j).
-3
Let l(h) = -22 - 4 - 9 - 9*h. Let s be l(-4). Let i(y) be the second derivative of -y**4/3 - y**3/6 + y**2/2 + 10*y. Determine i(s).
-4
Suppose 21*w - 14937 = -14958. Let i(g) = g + 2*g - 2 - 1 - 9*g**2. Let s(f) = 9*f**2 - 4*f + 4. Let o(y) = 4*i(y) + 3*s(y). Calculate o(w).
-9
Let c(j) = -11*j**3 - 4*j**2 + j - 7. Let p(g) = -g - 7*g**3 - 7*g**3 + 3*g**2 + 5 + 21*g**3. Let d(o) = 5*c(o) + 8*p(o). Give d(-5).
-5
Let v(a) = -870551*a + 12 + 870522*a + 81. Determine v(4).
-23
Let b(o) = -7*o**2 - 9*o + 9. Let g(y) = -8*y**2 - 11*y + 9. Let x(j) = 7*b(j) - 6*g(j). Calculate x(6).
-9
Suppose -7*h - 19638 = -19624. Let c(w) = 3*w**2 + w + 1. What is c(h)?
11
Let p be (-6 - -2 - -5)/1. Let m(h) = -464*h - 463*h + 929*h - 25*h**3 - 1 - h**2. Determine m(p).
-25
Let y = -257 + 268. Let h(u) = 3*u + 17. Give h(y).
50
Let s(g) be the first derivative of 15*g**2/2 - 51*g + 30. Let r be s(5). Let z be (0 - -10)*12/r. Let b(d) = d**3 - 4*d**2 - 7*d + 4. Calculate b(z).
-6
Let p(b) = -b**3 - 5*b**2 + 14*b + 4. Let n be (-1)/(-10) + 11895/(-1950). Calculate p(n).
-44
Let v(j) be the third derivative of j**7/840 - j**6/72 - j**5/24 - j**4/3 + 71*j**3/6 - 2*j**2 - 11. Let x(f) be the first derivative of v(f). Give x(6).
-2
Let m(a) = 2*a**2 - 12*a + 22. Suppose -2*k + 43 = -5*i + 24, 0 = 4*k + 5*i + 7. Determine m(k).
6
Let z(x) = -11*x**3 - 3*x**3 + 13*x**3 - 7*x + 7*x**2 + 6 - 2*x. Suppose 0 = -2*k - 2*b + 4, 55*k + 2*b - 22 = 50*k. What is z(k)?
-12
Let f(h) = -h - 6. Let c(y) = 5*y + 25. Let m(w) = -4*c(w) - 18*f(w). Suppose -49*v - 261*v + 1020 = -1770. Calculate m(v).
-10
Let b = -2972 + 2964. Let d(f) = f**2 + 14*f + 45. Give d(b).
-3
Let o(n) = n - 7. Suppose 5*d + 15 = 0, -c + 59 = -3*d - 0. Let i be (-30)/(-2)*40/c. Suppose 0 = -k + 3*k - i. Calculate o(k).
-1
Let m(x) = -3*x. Suppose -4*a + 5*a = -124. Let o = a + 125. Give m(o).
-3
Let l(p) = -5 + 0*p**2 - p**2 - 6*p - p**2 + 3*p**2. Let o be (-36)/(-8) + (15/10 - 0/2). Give l(o).
-5
Let h(n) = -4*n**2 - 13*n - 1. Let r(s) = -s**2 - s + 2. Let c(b) = h(b) - 5*r(b). Give c(8).
-11
Let h(y) = 64*y**2 + 17*y + 69. Let k(j) = -13*j**2 + j. Let c(m) = -h(m) - 5*k(m). Calculate c(-3).
6
Let c(o) = -o**3 + 5*o**2 + 5*o - 7. Let a(v) = 3*v**2 + 14*v - 70. Let s be a(4). Suppose -s*t = -81 - 123. Give c(t).
-13
Let p = -4376 + 4366. Let r(v) = v**2 + 16*v + 66. Calculate r(p).
6
Suppose 3*a - 2*r + 25 = 0, 103*r - 107*r = -12*a - 128. Let u(f) = -f**3 - 13*f**2 + 5*f + 4. Give u(a).
-61
Let h be (-4)/60 + (-1600)/(-1500). Let j(f) = -113*f + 5. What is j(h)?
-108
Let d(h) be the third derivative of -h**6/120 - h**5/20 + 5*h**4/24 + 4*h**2. Let p be (-185)/(-15) + -12 + (-39)/9. Give d(p).
-4
Let q be 44/2 + -12 + 8. Let k = -19 + q. Let u(f) = -12*f**2 - 4*f. Let n(m) = 37*m**2 + 11*m. Let z(s) = 4*n(s) + 11*u(s). Give z(k).
16
Let f(m) = -4322*m + m**2 + 17 + 20 + 4339*m. Give f(-3).
-5
Let z(u) = 1893*u**3 + 6*u**2 + 5*u - 1892*u**3 + 114 - 91. Determine z(-7).
-61
Let o be -7 - (2/(6/(-27)) - 5/5). Let d(h) be the first derivative of -h**3/3 + 3*h**2 - 12. Determine d(o).
9
Let u(w) be the third derivative of 25*w**4/12 - 6*w**2 + 8*w - 4. Give u(0).
0
Let z(q) be the second derivative of q**4/12 - 2*q**3/3 + q**2/2 + 696*q + 2. Suppose -4*o + 5 = -7. Give z(o).
-2
Let w(y) be the first derivative of -y**6/360 - y**5/20 - 5*y**4/12 - 10*y**3/3 + 3*y**2/2 + 55. Let f(l) be the third derivative of w(l). Determine f(-4).
-2
Let r(k) = -k**2 + 12*k + 8. Let g(u) = -7*u - 286*u**2 + 284*u**2 + 31*u + 15. Let x(j) = -3*g(j) + 5*r(j). What is x(12)?
-5
Let s(w) = 21*w - 41. Let l(q) = -263*q + 494. Let j(t) = 2*l(t) + 25*s(t). What is j(0)?
-37
Let i = 155 + -151. Let f(m) = -3*m + 4*m - 5*m**2 - i*m + 4*m**2. Calculate f(-5).
-10
Let d(l) = -8*l + 73. Let m be d(8). Suppose -2*j + 5*v + 2 = 0, 5*j - 4*v = m*j - 32. Let n(f) = f**3 - 6*f**2 + 2*f - 5. Give n(j).
7
Suppose -3 = -3*l + 2*l. Let b(u) be the second derivative of -u**4/6 + 2*u**2 + 10*u + 15. Determine b(l).
-14
Let g be ((-9)/((-3)/1) + 1)/2. Suppose -3*n = -g*n + 2*h - 20, -4*n - 5*h + 86 = 0. Suppose -y + n = -5*y. Let q(w) = w**3 + 5*w**2 - 6*w + 6. Give q(y).
6
Let v(b) be the third derivative of 0*b - b**3 - 1/6*b**4 + 8*b**2 + 2. What is v(-4)?
10
Let s(r) = 14*r**2 + 11*r - 1. Let m(w) = -4*w**2 - w + 1. Let q(f) = 6*m(f) + 2*s(f). Give q(-5).
24
Let c(o) = -6*o + 9. Let y(t) = t**3 - 19*t**2 - 41*t - 25. Let j be y(21). Let m(l) = -3*l + 5. Let z(a) = j*c(a) + 7*m(a). Give z(3).
8
Let p be 0 - (1/(-1) - 2). Let j(i) = 3 - 5*i + 1 - p + 14*i. Let n be ((-2)/1)/(1 + 1). Give j(n).
-8
Let l(q) = -40*q**3 - 4*q**2 - 3*q + 1. Let x(u) = 39*u**3 + 3*u**2 + 2*u - 1. Let s(v) = 2*l(v) + 3*x(v). Determine s(1).
37
Suppose 42 = 13*c + 8*c. Let p(a) = 6*a + 344*a**2 - 168*a**c - 8 - 175*a**2. Give p(-6).
-8
Let h(y) = -11*y**2 + 14*y - 13. Let k(t) = 5*t**2 - 3*t + 6. Let f(z) = -z. Let r(x) = 4*f(x) + k(x). Let m(c) = -4*h(c) - 9*r(c). Give m(7).
-2
Let p(i) = i**3 + 6*i**2 + 3*i - 1. Let d(m) = 4*m**3 + 19*m**2 + 9*m - 3. Suppose 0 = -15*f + 76 + 29. Let o(n) = f*p(n) - 2*d(n). Determine o(5).
-11
Let y(v) = 550*v**3 - v**2 - 5*v - 4. Let d be y(-1). Let x = -554 - d. Let b(s) = s**2 + 6*s + 1. Determine b(x).
-7
Let w(m) = -m**2 + 23*m - 24. Let p be w(22). Let u be 33*(32/12)/p. Let q be (-53)/(-11) - 8/u. Let b(s) = s**3 - 4*s**2 - 6*s. Calculate b(q).
-5
Let s(p) be the third derivative of p**4/24 - 52*p**2 + 4. Give s(0).
0
Let s = 623 - 623. Let h(x) = -5*x**2 + 4*x**2 + s + 6 - 3 - 2. Determine h(-1).
0
Let i(p) = -9*p**2 + 5 + 5 - p**3 + 25*p**2 + 13*p + 0 - 4. Determine i(17).
-62
Let c(v) be the first derivative of v**3/3 + 7*v**2/2 - 3*v + 239. Calculate c(-3).
-15
Suppose -53 = -c + 31. Let d be 204/c - (-6)/(-14). Let k(i) = 7*i + i - 3*i + 2 - i**d - 3*i. Calculate k(2).
2
Let i(v) = -6*v + 1. Let w(n) = -14*n + 2. Let l = 218 - 223. Let k(b) = l*i(b) + 2*w(b). What is k(3)?
5
Let n(v) = -v**3 + 7*v**2 - 17. Suppose -6*s = -1264 + 1228. Determine n(s).
19
Let z = -676 - -678. Suppose 30 = 4*i - z*y, -5*y + 9 = 2*i - 12. Let c(h) = h**2 - 9*h - 9. Give c(i).
-17
Suppose 9 - 18 = -3*p. Let o(v) = -v**3 - p*v**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
93399485154
Calculate -20.704421435 - 0.0534.
-20.757821435
What is the distance between -11968722334 and 27.28?
11968722361.28
What is the difference between 30864 and -87440763?
87471627
What is the difference between -99088956695 and -228?
99088956467
Put together -810718260169 and 5.
-810718260164
Total of -252 and 1893.41120999.
1641.41120999
Total of -11872.3561 and -8658.
-20530.3561
Work out 10 - -90.81830877.
100.81830877
5 + -646999.007307
-646994.007307
What is -24022615686 + -69?
-24022615755
Total of 1434178 and -2532846.
-1098668
What is 1242 minus -60845582.42?
60846824.42
Subtract 0.2 from -509524767960078.
-509524767960078.2
What is -34229 - 1019457?
-1053686
Total of -190443984457 and 4825.
-190443979632
What is 78.34763 plus 213.411?
291.75863
What is 4 + -118104024804?
-118104024800
What is the difference between 2293 and 0.791186837?
2292.208813163
Calculate 607.6 - -103.99782273.
711.59782273
What is 1.0747 - 1.2197050007?
-0.1450050007
What is 10.45693939801 minus 0.9?
9.55693939801
Work out -7 - 21.8584631205.
-28.8584631205
Total of -4 and -120290429045570.
-120290429045574
Subtract 22526441 from -1672640.
-24199081
What is -670738.1594253 take away 2.8?
-670740.9594253
What is -37259390.7 + 77?
-37259313.7
Put together 0.3 and 2431836364329.2.
2431836364329.5
Add -1 and 554601456932.
554601456931
Calculate -939.33470659 - 773.
-1712.33470659
Add 0.1725 and 216.16795805.
216.34045805
What is -61433.367 less than -0.8?
61432.567
What is -337342784.51 - -53.35?
-337342731.16
-289145.193 - 693447
-982592.193
Calculate -862.32176 + 64849.
63986.67824
Sum -14682 and 1507912820.
1507898138
686.92636581 - 4.1
682.82636581
Work out 2 - 31537256581.16.
-31537256579.16
-31+-875533.924
-875564.924
-31899+0.6543965
-31898.3456035
What is the distance between -35.7402585735 and -0.322?
35.4182585735
4 - 16893431715494
-16893431715490
3563 - -5048861.67
5052424.67
What is 0.0082 less than 321.97869?
321.97049
Work out 4193.949138 - 0.16208.
4193.787058
Add 5400373190959.2 and -0.9.
5400373190958.3
Calculate -297.7 + -51.933531.
-349.633531
What is -400594638 take away -476?
-400594162
Add together 0.22 and 234044713.20819.
234044713.42819
2 + 29524168498
29524168500
Add 214447.661227 and -13.
214434.661227
Work out -22192005 + -7484739.
-29676744
What is -293642788 + -2661?
-293645449
Total of 135413843773.994 and -0.2.
135413843773.794
Subtract -83 from -8729294546.
-8729294463
What is 0.633779996994 + 0?
0.633779996994
Sum 37423631746553 and -0.1.
37423631746552.9
What is 6682875153 take away 1?
6682875152
Sum 1112 and 508791213.
508792325
Add together -32112500219 and 33.5.
-32112500185.5
-1233754685 - 4474
-1233759159
0.0089310546460403 + -1
-0.9910689453539597
What is -0.2 + -130670637337?
-130670637337.2
Add together -71422540.076 and -68.
-71422608.076
875194570128 - -2
875194570130
Work out -172022 - 17263013.
-17435035
What is 0.306705759 - 7.3?
-6.993294241
Put together 889396 and -550597.
338799
What is 133.6 + -277710641?
-277710507.4
What is -2.8 - 4028173285?
-4028173287.8
What is the difference between 1565137611 and 4021?
1565133590
What is -74839 take away 45873585.2?
-45948424.2
What is 169825020402077 - -0.2?
169825020402077.2
What is 245 plus 184734176023?
184734176268
Subtract -28177 from 9812178133.
9812206310
What is 491780369.1 plus -115?
491780254.1
What is the distance between -27666721181627 and 2.2?
27666721181629.2
What is the difference between 20904869.2320193 and -6?
20904875.2320193
What is 54383 take away -3134400?
3188783
Sum 966.8701884 and 1.
967.8701884
Add together 248398 and -5542.661.
242855.339
What is 7581.79 - 17.30201?
7564.48799
What is the distance between -0.1349 and -0.0460075486?
0.0888924514
What is 414973830566 less than -0.18?
-414973830566.18
What is 40558 plus -0.34794223?
40557.65205777
Sum -41517460 and -1090448.
-42607908
What is the distance between 4273743 and 23486?
4250257
Work out 87221323 - 159.398.
87221163.602
1 - -433080534867
433080534868
Subtract 12.68 from -138034981039.
-138034981051.68
Put together 4.4 and 1964186581.652.
1964186586.052
What is 12359.419 + 19676273?
19688632.419
What is the distance between 2666003 and -14683.8?
2680686.8
Put together 3.39 and -106456.58784.
-106453.19784
What is -6002.0336 + -1.001?
-6003.0346
Calculate -1702.492751 - 0.031.
-1702.523751
What is -19178090 - 3004?
-19181094
-88.64758+0.306714
-88.340866
Calculate 2296328 + -0.0438132.
2296327.9561868
Add -18044799418438 and -2.
-18044799418440
Add -2.5341628 and 0.3353.
-2.1988628
Add together 4391.7083 and 13555.
17946.7083
Calculate 0.2 + -57775.141289456.
-57774.941289456
Work out 30621.09 + 20141.
50762.09
Work out -0.3 - -2247.8135845314.
2247.5135845314
Calculate 19.8 - 170696425269.
-170696425249.2
What is -0.015894 less than 4760582?
4760582.015894
-2033241.753767 - -6
-2033235.753767
-15838786 + -1981.34
-15840767.34
What is 2506755 less than -30523134?
-33029889
0.97939838 - 3068
-3067.02060162
Put together -6445356 and -2.0911.
-6445358.0911
Total of -0.004 and 0.064895781.
0.060895781
Add -0.0216273 and -11143385.
-11143385.0216273
Add 0.4 and -939695550055.
-939695550054.6
What is 130567889 less than -261.0877?
-130568150.0877
What is -237793783063 plus -0.1?
-237793783063.1
What is the difference between -85959.383 and -11.97?
85947.413
What is 18 take away 35769.251119?
-35751.251119
2.103232864+-0.6
1.503232864
What is -26.5 + -7786266.3?
-7786292.8
-98900.22121 + 4673
-94227.22121
43034846619840 + -3
43034846619837
Subtract -202229438 from -16357.
202213081
What is -45444381 take away 6716.6?
-45451097.6
Calculate 10.1933 - 4291935.
-4291924.8067
What is 0.171801 - -280915?
280915.171801
Work out -74907.1135 - -1736.44.
-73170.6735
484.36802 - -0.148224
484.516244
139588358+-91818
139496540
What is the difference between 835769.546 and -9768?
845537.546
What is 0.1 less than 5380547900.9718?
5380547900.8718
Add together 887011898509 and 27.
887011898536
Subtract -6 from 2259.003447002.
2265.003447002
Calculate -645739790.5 - 1.257.
-645739791.757
What is -3688.04 take away 378919413?
-378923101.04
What is 70644 minus 183.843?
70460.157
-5987806967.8124+-0.2
-5987806968.0124
Put together 13 and 19185145400898.
19185145400911
Add together 29884067 and -0.14632.
29884066.85368
Subtract 5790975642 from -242.
-5790975884
Calculate -0.09 - 200753468846.
-200753468846.09
-0.676305763 - 868.53
-869.206305763
What is -41937697 plus 15136.9?
-41922560.1
Work out -6731 - 137366.77767.
-144097.77767
What is 0.030658407365 + 3.92?
3.950658407365
Calculate 1839401397 + 189.5.
1839401586.5
508849+-0.1713358756
508848.8286641244
What is -10648600835 - -5?
-10648600830
Sum -3857777.642825 and -69.
-3857846.642825
Put together -41990758664520 and 0.3.
-41990758664519.7
Add together -412900.4 and 131807.
-281093.4
Put together -85537.259849 and -0.0433.
-85537.303149
What is 922685.402 minus 10?
922675.402
What is the distance between -10862441885 and -380?
10862441505
What is 126.47839347 take away 89.2?
37.27839347
139.3845 - -795.253
934.6375
Calculate 16 - -18499058502.
18499058518
What is -1.31392903 plus 1378?
1376.68607097
-5993.36274 - -369
-5624.36274
Work out 0.4 - 43347852879894.
-43347852879893.6
Add together -0.1 and 251060.5769239.
251060.4769239
What is -4 + -41460174569954?
-41460174569958
Work out -12 - 115817.353223.
-115829.353223
What is 1.15217 + 547918850?
547918851.15217
Calculate -576300 - 8325.804.
-584625.804
Work out 0.2901334032 - 2.64.
-2.3498665968
Subtract -3887530 from -24.4512906.
3887505.5487094
-20.53289695 - -505
484.46710305
Put together 1.4 and -7505031692.
-7505031690.6
256479+892.342759
257371.342759
Subtract 1027022247 from 23169.1.
-1026999077.9
What is the distance between -33952 and -159512352?
159478400
Put together 236 and 38012492042.
38012492278
Total of 5373460668650 and 8.
5373460668658
Add together 15502094357 and 0.0996.
15502094357.0996
Put together -87144.497773 and 1985.
-85159.497773
What is the distance between 44293013 and -329.3?
44293342.3
Subtract 281 from 367284727.
367284446
-820981100422+-1.55
-820981100423.55
Add 0.040784 and -10024452.41.
-10024452.369216
Add together -209721152.0873 and -1.
-209721153.0873
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
ve of -h**5/300 + h**4/5 - 24*h**3/5 - 33*h**2 - 2. Solve l(x) = 0 for x.
12
Suppose 2*q + 0 = 4. Suppose 2*c - 6*k - 10 = -q*k, 3*k = 4*c - 40. Let 3 + 6*h**3 - 7 - 2 + 2 - h**4 + 12*h - c*h**2 = 0. What is h?
1, 2
Let x(y) be the first derivative of 9*y**5 + 15*y**4/4 - 40*y**3/3 - 10*y**2 + 14. Factor x(f).
5*f*(f - 1)*(3*f + 2)**2
Let d(m) be the second derivative of m**7/14 + m**6/30 - m**5/10 - 22*m. Factor d(h).
h**3*(h + 1)*(3*h - 2)
Let v(l) be the second derivative of l**7/84 + l**6/15 + l**5/40 - 7*l**4/12 - 5*l**3/3 - 2*l**2 + 3*l. Let v(u) = 0. Calculate u.
-2, -1, 2
Let z = -2 + 5. Suppose -3*g + 2*p = 0, -2*p = -g - z - 1. Let -2*a**2 + g*a**3 + 0*a + 2*a - 2*a = 0. Calculate a.
0, 1
Let n be 10*(-1)/(-6)*(-2)/(-10). Let c(b) be the second derivative of 1/10*b**5 + 0*b**2 - n*b**4 + 1/3*b**3 - b + 0. Factor c(l).
2*l*(l - 1)**2
Let n be 60/18 - 4/3. Let r(x) be the second derivative of -n*x - 3/80*x**5 - 7/48*x**4 + 0 + 1/24*x**6 + 1/4*x**2 + 1/8*x**3. Factor r(y).
(y - 1)**2*(y + 1)*(5*y + 2)/4
Let j = 26 - 11. Suppose -4*y + 1 = -j. Factor 2*k**4 + 8*k - y*k**4 + 0*k**4 - 2 + 8*k**3 - 12*k**2.
-2*(k - 1)**4
Let s be (70/(-49) - -1)/((-2)/8). Factor s*x**3 + 0 + 4/7*x - 12/7*x**2 - 4/7*x**4.
-4*x*(x - 1)**3/7
Let x(m) be the first derivative of -2 + 9/10*m**5 + 0*m + 1/2*m**3 + 0*m**2 + 3/2*m**4. Factor x(i).
3*i**2*(i + 1)*(3*i + 1)/2
Let l(z) be the third derivative of 0*z**4 + 0*z + 0*z**3 + 0 - 2*z**2 + 1/540*z**6 - 1/270*z**5. Factor l(i).
2*i**2*(i - 1)/9
Let l(x) be the third derivative of -x**7/980 + x**6/252 - x**5/210 - x**3/6 - 11*x**2. Let o(q) be the first derivative of l(q). Determine s so that o(s) = 0.
0, 2/3, 1
Let f(u) be the third derivative of u**8/1512 - u**6/540 + 5*u**2. Determine p, given that f(p) = 0.
-1, 0, 1
Let h be 0 - ((-3)/(-36))/((-4)/12). What is w in -3*w**5 - 1/2*w - 11/4*w**4 + 7/2*w**3 + 3*w**2 - h = 0?
-1, -1/4, 1/3, 1
Let m = 54 + -54. Let r(b) be the third derivative of 0*b**3 - 3*b**2 + 0*b + 0*b**4 - 1/90*b**5 - 1/315*b**7 + m - 1/90*b**6. Determine w, given that r(w) = 0.
-1, 0
Let n(i) = -i**3 + 6*i**2 - 3*i + 4. Let j be n(5). Factor -5*b - 28*b - j*b**2 + 0 - 8 + b.
-2*(b + 2)*(7*b + 2)
Suppose -2*c + 96 = 4*c. Let t be 5/4 + 4/c. Solve f + 1/4 + t*f**2 + f**3 + 1/4*f**4 = 0.
-1
Let w(i) be the first derivative of 1/7*i**6 - 2/35*i**5 + 2/7*i**2 - 2 - 5/14*i**4 + 2/21*i**3 + 0*i. Let w(x) = 0. Calculate x.
-1, -2/3, 0, 1
Let v(n) = n**3 + 3*n**2 + 2*n - 4. Let j be v(-4). Let a be 1/(-3) - j/12. Factor 2*b**a - 2/3*b - 4/3*b**3 + 0.
-2*b*(b - 1)*(2*b - 1)/3
Find p, given that 8*p**2 - 24*p**3 - 10*p**3 + 6*p**3 = 0.
0, 2/7
Let o be 1/(-7) - (10/28 + -1). Let -1/2*b + 1/2*b**2 - 1/2 + o*b**3 = 0. What is b?
-1, 1
Let g(i) be the second derivative of -10*i + 13/48*i**4 + 1/80*i**5 - 1/4*i**2 + 0 - 5/24*i**3 - 11/120*i**6 + 1/42*i**7. What is a in g(a) = 0?
-1, -1/4, 1, 2
Factor -84*p**2 + 53*p**2 + 40*p**2 + 6*p - 3.
3*(p + 1)*(3*p - 1)
Suppose -w + 4 + 0 = 0. Suppose -w = -l - l. Factor -2*j**5 + 4/3*j**3 + 0 + 0*j**l - 2/3*j**4 + 0*j.
-2*j**3*(j + 1)*(3*j - 2)/3
Let o be (32/(-10))/(-1 + 3/5). Let t(r) be the first derivative of o*r**2 - 25/4*r**4 + 4*r + 2 + 5/3*r**3. Solve t(a) = 0.
-2/5, 1
Factor -19*o**4 - 24*o**3 - 21*o**4 + 36*o**4 - 16 - 52*o**2 - 9*o - 39*o.
-4*(o + 1)**2*(o + 2)**2
Let x(u) = -u**3 + 6*u**2 - 6*u + 3. Let j be x(4). Determine y so that 61 - 4*y**2 - 61 + 3*y**3 + j*y**3 - 10*y**4 = 0.
0, 2/5, 1
Factor -8*y + 2 - y**4 + 17*y**2 - 6*y**3 + 3*y**4 - 2*y**3 - 5*y**2.
2*(y - 1)**4
Let y(m) be the third derivative of m**6/180 - m**5/45 - m**4/12 + 6*m**2. Let y(g) = 0. What is g?
-1, 0, 3
Let h(c) = -c**3 + c. Let r(v) = -v**3 + v. Let l = 5 - 2. Let w(g) = l*h(g) - 6*r(g). Suppose w(f) = 0. What is f?
-1, 0, 1
Let m(p) = -p**4 - p**3 - 1. Let j(x) = x**4 - x**3 - x**2 + 3*x + 4. Let s(t) = j(t) + 2*m(t). Factor s(y).
-(y - 1)*(y + 1)**2*(y + 2)
Suppose -2*d + 3 = -1. Let u(l) be the first derivative of 1 + d*l**3 + 2*l - 3*l**2 - 1/2*l**4. Factor u(r).
-2*(r - 1)**3
Let q(n) = n**3 + 25*n**2 + n + 27. Let p be q(-25). Let -3 + p*o - 1/3*o**2 = 0. Calculate o.
3
Let v = -236 - -236. Factor v + 8/5*m + 2/5*m**3 - 8/5*m**2.
2*m*(m - 2)**2/5
Solve -12*r**3 - 5*r**2 - 31*r**2 - 10 - 27*r + 4 = 0.
-2, -1/2
Let i = -536/3 - -180. Suppose -5/3*q + 1/3*q**5 - 2/3*q**2 - 2/3 + 4/3*q**3 + i*q**4 = 0. What is q?
-2, -1, 1
Let h(m) be the second derivative of m**6/4 + 3*m**5/40 - m**4/2 - 36*m. Factor h(n).
3*n**2*(n + 1)*(5*n - 4)/2
Let n(u) = -u + 1. Let f be n(-1). Let r be 24/(-18)*6/(-4). Let r*q**2 - 4 + 4 - 5*q**f = 0. What is q?
0
Let r be (20/12)/((-1)/(-3)). Suppose 8 = -4*f + r*c, -2*f = -2*c + c - 2. Factor p**3 + p**f + 4*p**4 - 1 - 3*p**4 - 2*p.
(p - 1)*(p + 1)**3
Let c = 4 - 3. Let i = 1 + c. Find l such that -1/2 + 1/2*l**2 - i*l + 2*l**3 = 0.
-1, -1/4, 1
Let n be -2 + (10 - (-2 + 0)). Suppose -4*d + n = -2. What is i in d + 27/2*i**3 - 3*i**2 - 27/2*i = 0?
-1, 2/9, 1
Let q(i) = -i**5 + 2*i**4 + 5*i**3 - 2*i**2 - 4*i. Let l(z) = -6*z**5 + 12*z**4 + 31*z**3 - 11*z**2 - 24*z. Let f(n) = -6*l(n) + 39*q(n). Factor f(p).
-3*p*(p - 2)**2*(p + 1)**2
Let g = 13/2 - 6. Factor 0 + g*u**2 + 1/2*u.
u*(u + 1)/2
Let q(n) be the second derivative of n**5/50 - n**3/15 + 11*n. Find x such that q(x) = 0.
-1, 0, 1
Let m = -1009 + 90811/90. Let h(f) be the second derivative of 0*f**3 - m*f**5 + 0 - 1/135*f**6 + 0*f**4 + 0*f**2 + f. Factor h(q).
-2*q**3*(q + 1)/9
Factor 2/7*v**2 + 2/7 + 4/7*v.
2*(v + 1)**2/7
Determine o so that 46*o**2 - 72 + 45*o**2 - 93*o**2 + 24*o = 0.
6
Let q(y) be the second derivative of -7*y**6/225 - 23*y**5/150 - 3*y**4/10 - 13*y**3/45 - 2*y**2/15 + 26*y. What is c in q(c) = 0?
-1, -2/7
Factor 0 - 4/3*d**3 - 2/3*d + 1/3*d**4 + 5/3*d**2.
d*(d - 2)*(d - 1)**2/3
Let y(c) be the first derivative of -c**6/165 + c + 2. Let k(w) be the first derivative of y(w). Determine u, given that k(u) = 0.
0
Let r(y) be the third derivative of -y**10/226800 + y**5/20 - y**2. Let n(k) be the third derivative of r(k). Let n(h) = 0. What is h?
0
Suppose -6 - 3 = -3*m. Let i(w) be the second derivative of 0 - w - 4/3*w**2 + 4/9*w**m - 1/18*w**4. Factor i(j).
-2*(j - 2)**2/3
Suppose -2*l + 3*u + 4 = 0, -5 - 2 = -3*l + 4*u. Suppose s - 5*n = -8, s + l*n = 21 + 1. Factor -x**2 - 4*x**2 + s*x**2.
2*x**2
Let t(p) = -5*p**2 + 10*p - 11. Let i(k) = -k**2 + 2*k - 2. Let y(u) = 11*i(u) - 2*t(u). Find l such that y(l) = 0.
0, 2
Let x(f) = -2*f**2 + 2*f + 4. Let g(u) = 7*u**2 - 6*u - 16. Let d(m) = 6*g(m) + 22*x(m). Suppose d(v) = 0. What is v?
2
Let t(j) = -j**3 + j**2 + j. Let k(x) = -4*x**2 + x - 1. Let i be k(1). Let g = -2 - i. Let b(y) = -2. Let d(v) = g*t(v) + b(v). Solve d(r) = 0.
-1, 1
Suppose -q = -l + 5, -l + 5*q = 3*q - 8. Factor -2/3*z + 0 - z**l + 1/3*z**3 + 1/3*z**5 + z**4.
z*(z - 1)*(z + 1)**2*(z + 2)/3
Let p(t) be the second derivative of -1/168*t**7 + 0*t**6 + 0*t**4 + 0*t**2 + 1/40*t**5 + 0 + 3*t - 1/24*t**3. Let p(l) = 0. What is l?
-1, 0, 1
Suppose 0 = -4*r - 23 - 29. Let s = r + 15. Factor -2/5*x**s + 2/5*x**3 + 0 - 4/5*x.
2*x*(x - 2)*(x + 1)/5
Let a(l) = -l**3 - l**2 - l - 1. Let w(v) = -5*v**3 - 2*v**2 - v - 4. Let d(k) = 6*a(k) - w(k). Factor d(y).
-(y + 1)**2*(y + 2)
Let d(r) be the third derivative of r**10/30240 + r**9/5040 + r**8/2240 + r**7/2520 + r**4/24 - r**2. Let t(c) be the second derivative of d(c). Solve t(x) = 0.
-1, 0
Suppose 10 = -2*c + 7*c. Solve 0*s**c + 0*s + 0 + 2/9*s**3 - 2/9*s**4 = 0.
0, 1
Let j(l) be the first derivative of l**6/3 - 4*l**5/5 - l**4 + 8*l**3/3 + l**2 - 4*l - 10. Let j(w) = 0. Calculate w.
-1, 1, 2
Let p(r) be the third derivative of -1/60*r**6 + 0*r + 0 - 3*r**2 + 0*r**4 - 4/3*r**3 + 1/10*r**5. Solve p(d) = 0.
-1, 2
Let m(i) = -6*i**4 + 12*i**2 + 9*i - 3. Let d(r) = -11*r**4 + r**3 + 25*r**2 + 18*r - 5. Let y(z) = 3*d(z) - 5*m(z). Find l, given that y(l) = 0.
-1, 0, 3
Let v(t) be the first derivative of -5*t**5/3 + 5*t**4/2 - 5*t**3/9 + 14. Suppose v(h) = 0. Calculate h.
0, 1/5, 1
Factor -1/2*n**3 + 11/6*n + 1/2 + 5/6*n**2.
-(n - 3)*(n + 1)*(3*n + 1)/6
Find b such that b**2 - 1 + 1/3*b**3 - 1/3*b = 0.
-3, -1, 1
Let h be (1/(-2))/((-3)/18). Factor 2*y**2 + y**4 + y**h - 4*y**4 + 2*y**4.
-y**2*(y - 2)*(y + 1)
Let w(b) be t
|
{
"pile_set_name": "DM Mathematics"
}
|
Are 604 and l unequal?
True
Let b be 189/567 - (-1)/(204/(-12392)). Is -61 bigger than b?
False
Let r(l) = -3*l + 4. Let h be r(3). Let t(q) = q**3 - 12*q**2 + 16*q - 46. Let b be t(11). Suppose 0 = 18*f + b + 9. Which is greater: h or f?
f
Let q = -55399/36930 - -2/18465. Is -42 less than q?
True
Suppose 0 = -5*c + 4*l + 13, 1 = -71*c + 74*c + l. Which is smaller: 890 or c?
c
Let s be ((-17)/85)/(34/(-5))*(4 + 6). Is s > 2/5?
False
Suppose 2*f + 4*o - 558 + 182 = 0, -570 = -3*f - 3*o. Suppose -t - 82 = -p + 3*t, -2*p + t = -f. Let b(c) = -c**3 + 8*c**2 + 4*c + 1. Let m be b(6). Does p = m?
False
Let n = -8758 + 8650. Which is smaller: 5/3 or n?
n
Let h(a) = 2*a**2 - 4*a + 2. Let f be h(2). Let l be (2/(60/(-25)))/((-1)/f). Which is greater: l or -0.04?
l
Let a(f) = -2*f - 21. Suppose 2*p + 5*x + 24 = 0, -6 = 3*p - x - 4. Let z be a(p). Which is greater: z or 1/5?
1/5
Let l = 119 + -120. Let z = 247 - 138. Let w = z - 109. Is w less than or equal to l?
False
Let k = 4935.4 + -4936. Which is smaller: 463 or k?
k
Let x = -22.95 - -21.887. Let y = 58.937 + -59. Let u = y - x. Which is smaller: u or 3?
u
Suppose -3000 = -455*x + 476*x + 5148. Which is greater: x or -349?
-349
Let h = -107.6 + 108. Let f be 570/35*7/17 - 6. Is f less than h?
False
Let p = -0.016 + -53.284. Let d = p + 53.48. Is -4 <= d?
True
Suppose -1208*u = -1234*u + 260. Which is greater: 35 or u?
35
Let n = -25519/3 + 8375. Let b(s) = s**3 - 125*s**2 + 213*s - 11168. Let i be b(124). Which is greater: n or i?
n
Let n(v) = -13*v + 3 - 2*v**2 - 3 + 6*v. Let o be n(-5). Let p = -10 + -3. Is o bigger than p?
False
Let h(y) = 11*y**2 + 20*y + 52. Let l(i) = -5*i**2 - 10*i - 27. Let g(n) = 2*h(n) + 5*l(n). Let o be g(-6). Is o greater than -79?
False
Let m = 438 + -213. Suppose -m = -3*k - 2*k. Let g = k - 43. Does g = 7/3?
False
Let d = 6 - 2. Suppose -2*j = 3*x - 103, d*x + 100 = 3*j - 29. Let y = 47 - j. Which is greater: y or -1/11?
y
Suppose -3*y + 4 = 2*n, 2*y = -7*n + 8*n + 12. Let r be ((-2)/72)/(((-7)/n)/1). Which is smaller: 0 or r?
r
Let z = -3/3136 + 1215/40768. Suppose -2*c = -7*c. Do z and c have the same value?
False
Suppose -2*p = 0, -4*c + 3*c - 18 = 3*p. Let r = c + 13. Let w(j) = j + 5. Let l be w(-9). Is r bigger than l?
False
Let x = 9 - 7. Suppose x*b - 120 = 4*z, -3*b + z + 150 = 5*z. Let v = b + -41. Do 13 and v have different values?
False
Suppose -4*d = -2*j + 52, 4*j + 2*d - 135 = 9. Let i be (j/(-13345))/((-6)/10). Which is greater: i or 0?
i
Suppose 0 = -2*a + 5 + 1. Let w = 62 + -62. Let u be -4 - -7 - (w + -1). Which is bigger: a or u?
u
Let v(n) = -13*n - 11. Let a be v(-3). Suppose 0 = -3*r + a + 11. Suppose -5*h - r + 3 = -5*k, 4*k = 2*h. Which is greater: 0 or h?
0
Let s = 29905 - 23984. Are -0.2 and s non-equal?
True
Let p = -9994 + 9881. Does p = -146?
False
Suppose 3*t = 5*i + 8, -2*t + 3*i - 7*i = 2. Let y be (-1)/(26/4) - 1378/(-169). Suppose y*o - 23*o = -45. Is o < t?
False
Let i(z) = 78*z + 113. Let h be i(5). Let u = -502 + h. Which is greater: u or 24/19?
24/19
Let z = 7.447 + -7.476. Is z at most -1/22?
False
Suppose 4*f + 2*r - 5 + 1 = 0, 0 = 2*r + 4. Let m be ((-8)/4)/f - -3. Let n = 46 + m. Is -0.1 at least n?
False
Let w = 1/15 + 3/5. Let l be -3863*(2 - 1)*(0 + -11). Let o be (-1)/12 + (-14 - l/(-3036)). Which is bigger: w or o?
w
Let u = 320 - 316. Suppose -619 - 225 = -u*w. Is 211 bigger than w?
False
Let d = -1912 + 1780. Is d greater than or equal to -155?
True
Let s be 18 + -9 + -2 + 0 + 6. Which is smaller: s or 2?
2
Suppose 6 = q - 5*q + 2*x, 26 = q + 5*x. Let c(f) = 12*f**3 - 2*f**2 + 3*f + 1. Let g be c(2). Let z be (-48)/g + 7/(35/2). Is z at least as big as q?
False
Let v be (-20)/(((-21)/(-7) - 3) + 1). Let z be ((-10)/(-15))/(v/15). Let k = -0.8 + -0.2. Which is smaller: z or k?
k
Let j = -469 + 614. Suppose 0 = -57*o - j - 653. Is -166/11 bigger than o?
False
Suppose 28378 = 72*k + 1234. Which is greater: k or 354?
k
Let w be ((-2)/6)/((3/(-18))/1). Let n be (3 - 11/5)*(22 - w). Let f = n - 5. Is 8 != f?
True
Let j be (2*1/16)/(462/(-39732)). Is -342 bigger than j?
False
Let m(q) = 842*q + 1455. Let w be m(-6). Is w less than -3597?
False
Let o(x) = 2*x**2 + 31*x + 13. Let y be o(-15). Let g be ((-2)/y)/((-78)/1118). Is -13 greater than or equal to g?
True
Suppose -108 = 16*u - 412. Suppose -32*p = -u*p - 65. Do 3 and p have the same value?
False
Let p(m) = -5*m - 16. Suppose g = 3*z - 23 + 6, z + 21 = -3*g. Let l be p(g). Suppose 2*r = 3*a - 22, -4*r = -5*a + l + 16. Is -8 at least as big as r?
False
Let m = -8509 + 8508. Let w = -268 + 1872/7. Which is greater: m or w?
w
Suppose 107*r = 133*r - 3279276. Let x be r/495 + 4/(-5). Is 1 greater than x?
False
Let j(r) = -409*r + 976. Let h be j(3). Is h at most 14?
True
Let r = 42790/17 - 2517. Which is smaller: r or 0?
0
Suppose 0 = -2*m - 3*m. Let r = -29045/47 - -618. Let s = r + 81/611. Which is bigger: s or m?
s
Suppose 72 = 7*r + 37. Suppose -4 = -2*y - 0*y - 4*b, r*b + 5 = 0. Suppose y*m + 255 = -m. Is -50 != m?
True
Let w be 1 + 4 - 1/((-2)/(-4)). Suppose -4 = -w*q + 2, m - 5*q = -10. Let t be 10/(-14)*4/(-260). Is t greater than m?
True
Let r = -336519/4 - -83000. Are -1130 and r non-equal?
True
Let o be (-12)/(-90) + (-3446)/(-30). Let t = o - -98. Let q be t/(-495) + -6*3/(-45). Which is smaller: -1 or q?
-1
Let h = 917.4 + -917.483. Which is greater: h or -1/28?
-1/28
Let y = 7240 + -7239. Are 8/1331 and y nonequal?
True
Let u = 97 + -97.7. Let t = 0.38 + u. Is t less than -2?
False
Let i = -4551/5 - -40307/35. Suppose 4*q - 14*l + 10*l - 944 = 0, -3*q + 5*l = -698. Let j = q - i. Which is greater: 1/2 or j?
1/2
Let t(p) = p**3 - 5*p**2 + p + 10. Let y be t(4). Let s be 5*y/2*(-5)/(-25). Let a be (1/2 - s)*1040/840. Which is bigger: a or 3?
3
Let g = 4227.7833 + -0.7833. Let v = g - 4217.915. Let q = 0.085 - v. Is 0 < q?
False
Suppose 1642*j + 41256 = 1615*j. Is -1523 at least as big as j?
True
Let k be (-95)/(-1)*(-18)/(-30). Is 403/7 smaller than k?
False
Let i be (17 + (-214)/10)/(26/(-115)). Is 1/4 at least as big as i?
False
Let l(r) = -r**3 - 109*r**2 + 336*r + 398. Let h be l(-112). Which is greater: 9 or h?
h
Suppose -17 = -16*w + 15. Suppose -q = -j - 5, w*q - 4*j = -9*j - 25. Which is bigger: q or 19?
19
Let k = -218 - -519. Let y be 2/(-12)*-29*(-81)/(-1566). Is y equal to k?
False
Suppose -2*o - c + 423 = -3*o, 5*o + 3*c + 2099 = 0. Let t = 423 + o. Which is smaller: t or 7/4?
7/4
Let l = -8698 - -8264. Is l bigger than -1300/3?
False
Let h(p) = -31*p + 186. Let t be h(-8). Suppose -t = -24*w - 7*w. Are 20 and w equal?
False
Let s be -2*(-8)/(-16)*0. Let v(p) = -2*p**2 - 18. Let x be v(s). Is x greater than -1?
False
Let a be ((-12)/5)/(104/100). Let u be (-80)/10 + 2 - -4. Is u less than or equal to a?
False
Let q = 0.1821 + 45.8179. Let u = 12 - 10. Suppose -5*p = 2*m - 5, 4*p - 6 + u = -2*m. Is m greater than q?
False
Suppose 189*y + 28 = 2*t + 188*y, -3*t - 5*y + 55 = 0. Let g = -68 + 44. Let n = 23.6 + g. Is t at least n?
True
Let s(w) = w**2 - 13*w + 14. Let u be s(12). Suppose -u*c - h + 2 = 0, 2*c = 5*c + 3*h + 3. Suppose 27 = -c*d + 3*b - 60, d + 5*b + 5 = 0. Is d > -25?
False
Suppose 5 = o - 35. Suppose 3*v + w - 3*w - o = 0, -3*w = -v + 4. Let g be -8 - (v/(-4) + 3). Is -8 > g?
False
Suppose -2*o + 1731 = -61*y + 58*y, -5*o - 4*y + 4247 = 0. Which is greater: 858 or o?
858
Let f be (98 - 24) + (0 - 5). Let w be f - ((-6)/(-4))/((-4)/8). Let d(m) = -9*m**3 + 2*m + 3. Let y be d(-2). Is w >= y?
True
Suppose 0 = s - 5*i + 11, -2*i - 2*i + 4 = -2*s. Suppose 87 = -s*g + z, z - 108 = 9*g - 4*g. Is g greater than -62/3?
False
Suppose -3*g = -2*m - 499, 0 = -3*m + 5*g - 9*g - 774. Are -230 and m unequal?
True
Let k(a) = 6*a**2 + 17*a - 3. Let y(o) = 12*o**2 + 32*o - 5. Let n(t) = 7*k(t) - 4*y(t). Let g be n(-2). Let d be (-46)/6 - 1/3. Which is smaller: d or g?
d
Let f = 5401 + -10661. Is f at least -5261?
True
Suppose -5*l + 42 + 8 = 0. Let f be l - 6 - (7 + -3). Which is smaller: 3/451 or f?
f
Let b(x) = 754*x + 1. Let j be b(1). Let q = j - 9827/13. Suppose -13*m = -1648 + 1674. Which is greater: m or q?
q
Let a(w) = -w**3 - w**2 + 11*w + 3. Let g be a(-4). Suppose -j = g + 13. Let s be 8/j + (-292)/(-80). Is s smaller than -2?
False
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
Let l(q) be the second derivative of -q**3/6 - q**2/2 + q. What is l(-1)?
0
Let h(a) = 4*a. Let n be h(4). Let y(f) = -n - 2*f**3 - f**2 + f**3 + 15. Calculate y(0).
-1
Let z(u) be the third derivative of -u**4/12 - 2*u**2. What is z(1)?
-2
Let m(k) be the second derivative of k**4/12 - 4*k**3/3 + 5*k**2/2 + 2*k. Suppose 3*x + 2*a - 25 = 0, 10 = a + a. Give m(x).
-10
Let n(u) be the first derivative of 1/24*u**4 + 0*u - 1/2*u**2 + 1/30*u**5 + 2 + 0*u**3. Let x(k) be the second derivative of n(k). What is x(-2)?
6
Let x(c) = -2*c**2 - 9*c + 6. Let p(v) = v**2 + 8*v - 5. Let l(r) = 5*p(r) + 4*x(r). Give l(3).
-16
Let z(u) = 5*u + 1. Let f(n) = n. Let l(b) = -6*f(b) + z(b). Suppose -4*c + 6 = 6. Calculate l(c).
1
Let b(r) = -r**2 - r - 1. Let l(h) = -3*h**2 - 10*h - 6. Let p(t) = 4*b(t) - l(t). Let j(x) = 3*x - 3. Let f be j(3). What is p(f)?
2
Let s(g) be the second derivative of g**4/12 - 2*g**3/3 - g**2/2 - 6*g + 3. Calculate s(4).
-1
Suppose 10 = -2*l + 4*c + 2, -8 = 2*l + 4*c. Let b(h) = -h. Let a(f) = 3*f + 1. Let q(o) = -3*a(o) - 8*b(o). Give q(l).
1
Let v(f) = f**3 - 2*f**2 - 4*f + 1. Let x be v(3). Let k(b) = 9*b + 1. Let j(q) = 18*q + 3. Let m(s) = x*j(s) + 5*k(s). Give m(-1).
-10
Let m(g) be the second derivative of g**3/2 - 3*g**2/2 - g. Calculate m(-3).
-12
Let y be ((-18)/(-8))/((-9)/24). Let z(q) = q - 4. What is z(y)?
-10
Suppose 12 = -c + 5*c. Suppose 0 = -5*h - c - 12. Let x(s) = -3 - s**3 - 2*s**2 - 3 + 4. What is x(h)?
7
Let h(n) = n**2 + 6*n + 1. Suppose 3*w + 0*i + 4*i + 47 = 0, 4*w + 26 = 2*i. Let f be 22/(-3) - (-6)/w. Let j = f + 4. Give h(j).
-7
Suppose 4*z + 2*p - 3 + 11 = 0, 2*z = 3*p + 4. Let i(m) = -13 + 20 - 8 + 9*m. Determine i(z).
-10
Let w(c) = -5*c - 3. Let q(a) = -a**2 - 4*a - 2. Let t(n) = -3*q(n) + 2*w(n). Let r be (-6)/(-9) - (-26)/6. Let f = r - 7. Calculate t(f).
8
Let u(y) be the second derivative of 1/2*y**3 + 1/2*y**2 + 0 + y. Let x(i) = 2*i + 1. Let k(c) = 3*u(c) - 5*x(c). Determine k(-4).
2
Suppose 4 = 6*d - 2. Let n(r) = 4*r. Give n(d).
4
Let y(o) be the first derivative of o**4/12 + 4*o**3/3 + 9*o**2/2 - 10*o - 10. Let v(i) be the first derivative of y(i). Give v(-7).
2
Let r(w) be the first derivative of -w**4/4 + 10*w**3/3 - 9*w**2/2 - 6*w - 28. What is r(9)?
-6
Suppose -10*y + 4 = -6. Let h(l) = -l**2 + l. Calculate h(y).
0
Let x be (-12)/(-30) - (-99)/15. Let r(p) = -p - 7. Determine r(x).
-14
Let z(u) = u + 1. Let h be z(0). Let r(i) = -i - i + 3*i - h. Let k be (6/15)/(1/(-5)). What is r(k)?
-3
Let s(v) = 6*v**2 - 9*v + 2. Let f(i) = 5*i**2 - 8*i + 1. Let u(w) = -5*f(w) + 4*s(w). What is u(5)?
-2
Let j(x) = -x**2 - 8*x. Let r be j(-8). Suppose r = 5*h - h + 4. Let a(g) = g**2 + g. Determine a(h).
0
Let v(a) be the third derivative of a**2 + 0 + 0*a + 1/30*a**5 + 1/30*a**6 + 0*a**4 - 1/6*a**3. What is v(1)?
5
Let k(j) = j - 8. Let h be 3 - 0*(-2)/4. Suppose h*s + 8 = -4*x, -5 = 3*x + 1. Give k(s).
-8
Let r(l) = 0 + 2 - 6*l + l - l**2 + 3. Let o(n) = -n - 2. Let y be o(3). What is r(y)?
5
Let z be (2/(-5))/(2/(-30)). Suppose z*f + 20 = 2*f. Let d(o) be the third derivative of o**5/60 + 7*o**4/24 + 7*o**3/6 + o**2. Give d(f).
-3
Suppose -i = 3*i + 4. Let h(t) = 16877*t + 5*t**2 - 16877*t. What is h(i)?
5
Let c(l) = l**3 - 2*l**2 + 3*l. Let x = -9 - -11. Calculate c(x).
6
Suppose t + 5*f - 16 = 0, 4 + 3 = -5*t + 4*f. Let i be t/((0 - -4)/8). Let q(l) = 2*l**2 - 2. Give q(i).
6
Let g be (0 - -1) + -6 + 2. Let d = -1 + g. Let u(w) = -w**2 - 4*w + 2. What is u(d)?
2
Let a be 50/15*12/10. Let i be ((-5)/2)/(-5)*a. Suppose -i*g - 3 = -3*g. Let n(w) = -2*w**2 + 4*w - 2. Determine n(g).
-8
Let n(g) be the third derivative of 0 - 2*g**2 - 1/24*g**4 + 0*g - 1/6*g**3. Suppose -5*c - 12 = -2*c, 0 = 2*j - 4*c - 20. What is n(j)?
-3
Let d(v) = 7*v - 2*v - 26*v**3 + 47*v**3 - 22*v**3 - 3*v**2. Suppose -4*s = 5*n + 36, 1 = 3*s + 3*n + 25. Determine d(s).
-4
Let a be 1/2 + 5/(-2). Let y = a - -5. Suppose 4*f + 8 = y*f + w, 0 = -w + 4. Let h(x) = x**3 + 5*x**2 + 5*x + 6. Determine h(f).
2
Let v(u) = 2*u**2 + 31*u + 31. Let q(b) = b**2 + 16*b + 16. Let f(c) = -11*q(c) + 6*v(c). Give f(-8).
-6
Let y(s) = 5*s - 16. Let v(x) = -2*x + 8. Let b(z) = 9*v(z) + 4*y(z). Let f be b(-6). Let k(u) = u**2 + 3*u + 1. Determine k(f).
5
Let x(u) = u**3 - 8*u**2 + 8*u - 5. Let b be 2/8 + 76/16 + 2. Calculate x(b).
2
Let f(b) = 3*b - 6. Let d(j) = -3*j + 7. Let s(m) = 2*d(m) + 3*f(m). What is s(3)?
5
Let h(x) be the third derivative of x**6/120 + x**2. Let o(i) = -i**2 + 5*i - 2. Let y be o(4). Suppose c = -c + y. Determine h(c).
1
Let v = 31 + -30. Let t(m) = -14*m**2 + 1. Calculate t(v).
-13
Let d(s) = 5*s + 1. Let f(j) = 1. Let h(g) = -d(g) + 2*f(g). Give h(4).
-19
Let o(y) = 6*y**3 - 6*y**2 - 5*y - 4. Let r(b) = -b**3 + b**2 + b + 1. Let p(h) = -o(h) - 5*r(h). Give p(1).
-1
Let p = -97 + 1165/12. Let y(c) be the third derivative of p*c**5 - c**2 + 0*c - 1/120*c**6 - 1/6*c**3 + 0 - 1/8*c**4. What is y(4)?
3
Let o be 2/10 + (-9)/(-5). Let a(i) = o + 4 - 5 - 2*i + 3*i. Determine a(4).
5
Let a(q) = -q + 1. Suppose -5*u + 35 = 4*v, -3*u + 21 = 7*v - 2*v. Calculate a(u).
-6
Let t = 5 + -2. Let w(v) = v + 2. Let c(o) = -o - 3. Let s(i) = -4*c(i) - 5*w(i). Calculate s(t).
-1
Let m(l) = 2*l**2 - 26*l + 4. Let y be m(13). Let j(w) = w**2 - 5*w + 4. Calculate j(y).
0
Let t(n) = -n**3 - 8*n**2 - 9*n - 9. Suppose -4*w - 67 = -3*y - 24, w - 3*y + 22 = 0. Calculate t(w).
5
Let r(n) = 15*n**3 + 10*n**2 - 9*n + 6. Let i(w) = 7*w**3 + 5*w**2 - 4*w + 3. Let q(f) = -13*i(f) + 6*r(f). Determine q(-4).
-11
Let v(t) = -9*t + 1. Suppose 7 = 4*f - 1. Determine v(f).
-17
Let g(x) = x**2 + 5*x. Suppose 5*k + 19 + 16 = 0. Calculate g(k).
14
Let v(u) = u**2 - 6*u + 1. Let k be v(6). Let p(l) be the first derivative of 7*l**2/2 + 31. Determine p(k).
7
Let j(p) = -p**3 - p**2 + p. Suppose -h - 8*h + 9 = 0. Give j(h).
-1
Let y(o) = 4*o**2 - 4*o + 1. Let c(t) = 4*t**2 - 5*t + 1. Let v(b) = -2*c(b) + 3*y(b). Let m(d) = -d**3 - 7*d**2 + 8*d + 1. Let q be m(-8). Determine v(q).
3
Let t(z) = -z**3 + z**2 + z + 1. Let m(v) = 5*v**3 - 7*v**2 - 5*v - 7. Let u(x) = -m(x) - 4*t(x). Suppose 3*h - 3 = 2*h. What is u(h)?
6
Let n be (39/26)/((-1)/4). Let z(g) = -g + 1. What is z(n)?
7
Let w(z) = -3*z**3 - 10*z**2 + 10*z + 5. Let c be (-6)/9*(7 - 1). Let d(v) = -5*v**3 - 29*v**2 + 29*v + 20 - 3*v**3 - 5. Let y(i) = c*d(i) + 11*w(i). Give y(5).
-10
Let s(p) = -2*p**2 + 2*p + 1. Suppose -3*n - 4 = -5*m - 25, -4*m - 10 = n. Suppose n*z + 3*w = z + 2, 0 = -z - w. Give s(z).
-3
Let t(s) = -s**3 - 2*s**2 + 3*s - 1. Suppose -5*l + 4 = 19. What is t(l)?
-1
Let c(x) = x - 10. Let f be c(12). Suppose 0 = -2*w - 2*i - 2, 0 = f*i + 2*i. Let s(k) = -10*k**2 + 1. Give s(w).
-9
Let z(w) = 2*w + 3*w - 6*w - 3. Let b(i) = -i - 7. Let d be b(-10). Determine z(d).
-6
Suppose z + 5*a = -13, 7*z = 2*z + 3*a + 19. Suppose -3*x + 3*v = 0, -4*v = -18 - z. Let j(d) be the second derivative of -d**3/6 + 7*d**2/2 + 2*d. Give j(x).
2
Let h(r) = r + 1. Let g(t) = -2 - 3 + 2 - 3*t. Suppose -i = -1, -d - 3*i = 1 - 2. Let j(q) = d*h(q) - 2*g(q). Calculate j(-3).
-8
Let r(g) = -g**3 + 4*g + 1. Let y(a) = -a**3 + 4*a**2 - a - 9. Let b be y(3). Calculate r(b).
16
Let v(x) = 3*x. Suppose 0 = -2*z + z. Let u be 4/(-2) + z/3. Calculate v(u).
-6
Let i(w) = -w**2 - 6*w - 6. Suppose -2*c = 4, 0*c + 10 = -3*j + c. What is i(j)?
2
Let v be ((-56)/(-84))/(((-8)/3)/4). Let h(k) = -14*k. Let c(i) = i. Let t(u) = -3*c(u) + h(u). Calculate t(v).
17
Suppose 5 = -2*v + 7*v. Let b(m) = 5*m - 6. Let n(h) = 11*h - 13. Let q(r) = -9*b(r) + 4*n(r). Give q(v).
1
Let o(y) = -7*y**2 + 7*y + 12*y + 2 - 24*y - y**3. Calculate o(-6).
-4
Let o(q) = -4*q - 3. Let g(u) be the third derivative of 11*u**4/24 + 3*u**3/2 - 2*u**2. Let w(t) = 3*g(t) + 8*o(t). Determine w(0).
3
Let o(g) = 3*g + 5. Suppose -2*n = 5*y - 3 - 4, 3*n - 21 = 3*y. What is o(n)?
23
Let j(a) = -4*a**2 - a - 1. Let w(z) = -z**2 + z + 1. Let u(s) = j(s) - 3*w(s). Suppose -8*f = -7*f + 4. Determine u(f).
-4
Let n(c) be the second derivative of c**4/12 - 2*c**2 + c. Calculate n(-4).
12
Let g be -1*18/2 + 2. Let k = g - -10. Let j(q) = 2*q - 5 - 3*q + 5*q**k - 4*q**3. Calculate j(0).
-5
Let c(f) = 3*f**3 - 6*f**2 - 7*f + 6. Let i(j) = 2*j**3 - 4*j**2 - 5*j + 4. Let z(
|
{
"pile_set_name": "DM Mathematics"
}
|
i))*(-2*i + 3*i + 2*i).
-4*i**2
Expand ((-2 + 6 - 3)*(3 - 3 + 1) + 5 - 13 - 4)*(0*j + j - 2*j)*(2*j - j + 0*j).
11*j**2
Expand (-16*o**2 - 20*o**2 + 9*o**2)*(2*o + 2*o - 5*o).
27*o**3
Expand 6*m**2 + 3*m**2 - 4*m**2 + 2*m**2 + m - m + (6*m - 2*m - 2*m)*(2*m + 3 - 3) + (4*m - 2*m - m)*(-1 + 1 - 2*m).
9*m**2
Expand (2*s + 0*s + 0*s)*(2*s - s + s) - 12*s**2 - 2*s**2 + 2*s**2.
-8*s**2
Expand (3 + 1 - 3)*(-3*u**2 + 2*u**2 - u**2 + (-2 + 0 + 0)*(u + u + 5*u)*(4*u + 2 - 2)).
-58*u**2
Expand (m + m**4 - m)*(-6 + 5 + 0) + 2*m**4 - 4*m**4 + 0*m**4 + m**2 - m**4 - m**2 - m**4 - m**4 - 3*m**4 - 2*m**4 - 2 + 1 + 6.
-11*m**4 + 5
Expand (y - 2*y - 9*y**3 + 7*y**3)*(0 - 2*y + 0).
4*y**4 + 2*y**2
Expand (-2*v**2 - v + 0*v + v**2)*(5 - 2 + 1).
-4*v**2 - 4*v
Expand (0 - 2*b + 0)*(14*b - 10*b - 2 + 10*b).
-28*b**2 + 4*b
Expand (n**2 - 4*n**2 + 4*n**2)*(-3*n + 3*n - 2*n**3) + 0*n**5 + 0*n**5 + 6*n**5.
4*n**5
Expand p**3 + 3*p**3 - 2*p**3 + (15 - 23*p - 15)*(-3*p**2 - p**2 + 6*p**2) - p**3 - 2 + 2 + (0*p**2 - p**2 + 3*p**2)*(p + 2*p - 5*p).
-49*p**3
Expand (4 - 6 + 1)*(0*j + 4*j - 2*j) + 1 - 3*j - 1 + 0*j + 3*j - j.
-3*j
Expand -5*q**3 + 2*q**3 - 3*q**5 + 2*q**5 + (-q**3 + 28*q**2 - 28*q**2)*(-5*q**2 + 3*q**2 + 0*q**2).
q**5 - 3*q**3
Expand (2 - 2 - 2*r + (-2*r - 1 + 1)*(0 + 4 - 3))*(-4*r**4 - 2*r**4 + 4*r**4) + (1 - 2*r**4 - 1)*(3 + r - 3) + 0*r + 0*r + r**5.
7*r**5
Expand (205 - 420 + 207 + 6*o**2)*(-1 + 1 - o**3).
-6*o**5 + 8*o**3
Expand (0*h + 0*h + 2*h**2)*(-38*h**2 + 205*h**2 - h**2).
332*h**4
Expand (2 + 2 - 5)*(-39*d + 207 - 207).
39*d
Expand (17 - 62 - 141 + 29)*(-w + 1 - 1).
157*w
Expand (-y**2 + 16*y**2 - 2*y**2)*(2*y**2 + 2*y - 2*y + (-2 - y + 2)*(-y - 5 + 5) - 4*y**2 + 0*y**2 + 2*y**2 + 3*y**2 - 5*y**2 + 0*y**2).
-13*y**4
Expand (0 - 5*b + 0)*(-4*b + 4*b - 2*b) - 5*b**2 + b**2 + 3*b**2.
9*b**2
Expand (3 - x - 3)*(-1 - 3 + 5 - 2 + 2 + 2 + (-1 + 1 + 1)*(-3 - 2 + 4)).
-2*x
Expand (-r + 2*r + 0*r)*(3*r + 24*r**2 + 2 + 26*r**2 - 44*r**2).
6*r**3 + 3*r**2 + 2*r
Expand (-32 - 25 - 2*m + 47)*(-m**4 + 4*m**4 - 5*m**4).
4*m**5 + 20*m**4
Expand (11*m**3 - 7*m**3 + 6*m**3)*(m**2 - 4*m**2 - m**2).
-40*m**5
Expand (0*h - 2*h + 0*h)*(-h + 0 - h + 16).
4*h**2 - 32*h
Expand (j**2 - 2*j**2 + 3*j**2)*(2 - 2 - j) - 5*j**3 + 27*j**3 - 59*j**3.
-39*j**3
Expand -9*t**2 + 1 - 1 + 2*t**2 + t**2 - 5*t**2 + 0*t**2 - 3*t**2 + 4*t**2 + (-2*t + 2*t - 2*t)*(2*t - t - 2*t).
-8*t**2
Expand (-8*r**2 - 7*r**2 + 9*r**2)*(4*r**3 + 2*r**3 - 4*r**3 + (-r**2 + 3*r**2 - 3*r**2)*(3*r - 2*r + 0*r)).
-6*r**5
Expand -11 + 6 + 2 - 3*h + (-4 + 0 + 3)*(-h - 3*h + 3*h).
-2*h - 3
Expand -2 + 2*g + 2 - 5*g + g + g + (-g + 0*g - 3*g)*(0 - 5 + 4).
3*g
Expand (2*v + v**2 + 12 - 12)*(6 - 1 + 0).
5*v**2 + 10*v
Expand (b - 5*b + 2*b)*(-3 + 1 + 3) + 1 - 1 - b - 1 + 9*b + 1.
6*b
Expand ((4 - 4 + 1)*(2*k - 2*k + k**3) - 6*k**3 + k**3 + 0*k**3)*(-18*k + 9*k + 10*k).
-4*k**4
Expand (-2 + 2 + n)*(2 - 2*n - 2) + 3*n + 4*n**2 + n - 3*n**2.
-n**2 + 4*n
Expand 10 - 10 + 9*y**3 - y**3 + 2*y**3 + y**3 + (2 - 2 - y**3)*(-2 + 5 - 2) + (-4*y + 0*y + 6*y)*(-2*y**2 + 3*y**2 - 3*y**2).
6*y**3
Expand (-2 + 0 + 3)*(4 - 4 - 4*f**4).
-4*f**4
Expand (-o + 2*o + o)*(-4 + 2 + 9).
14*o
Expand (2 - 5 - 10*d**2 + 5)*(-2*d**3 + 4 - 4).
20*d**5 - 4*d**3
Expand (1 - 1 + 1)*((2*b + 0*b + 4*b)*(-2*b**4 - b**4 + 5*b**4) + 3*b**5 + b**5 - 2*b**5).
14*b**5
Expand -3*w + 0*w + w - 7*w - 2*w - 2*w + (1 + 0 - 2)*(1 + 2*w - 1).
-15*w
Expand (5*z**3 - 3*z**3 - z**3)*(-4 + 4*z + 4).
4*z**4
Expand (3*i - 1 + 1)*(-104 + 6*i + i**2 + 104).
3*i**3 + 18*i**2
Expand 1 - 3 - m**2 + 4 + 2*m**2 + 0*m**2 - 4*m**2 + (5 - m - 5)*(2*m - 2*m + m) - 3*m**2 - 4*m**2 + 5*m**2.
-6*m**2 + 2
Expand 4*g**3 + 2*g**4 - 4*g**3 + (g**4 + g**4 + 0*g**4)*(0 - 3 + 1) + g**2 - g**2 - g**4.
-3*g**4
Expand -3 + c + 3 + (-2 - 1 + 0)*(-4*c + 0*c + 0 + 2).
13*c - 6
Expand (5*a + 5*a - 6*a)*(1 - 4 + 2)*(-3 + 2 + 0).
4*a
Expand (-t + 0*t + 0*t)*(-7 + 1 - 3) + 2*t + 2*t - 2*t.
11*t
Expand (0*a + 0*a - 3*a**2)*(1 + 0 + 5 + 1 - 4 + 1 + 4 - 1 - 2 + (0 - 4 + 3)*(-3 + 1 + 0)).
-21*a**2
Expand (-2 + 2*a**2 + 2)*(0 + 3 - 2 + (0 - 4 + 3)*(3 + 1 - 5) + 2 - 2 + 2).
8*a**2
Expand (-3*m**3 + 0*m**3 + 5*m**3)*(-4*m**2 + 0*m**2 + 3*m**2) - m**5 - m + m + 5*m**2 - 2*m**5 + 0*m**5 + 0*m**2.
-5*m**5 + 5*m**2
Expand (-1 + 2 - 2)*(2*s + 0*s + 0 - 2)*(11*s - 16*s + 7*s).
-4*s**2 + 4*s
Expand (-4*x**2 + x**2 + x**2)*(0*x + 8*x**2 + 0*x) + (-4*x**2 + x**2 + x**2)*(-2*x**2 + 3*x**2 - 2*x**2).
-14*x**4
Expand (31 + 2*x - 31)*(0*x + x**3 + 3*x - 4*x).
2*x**4 - 2*x**2
Expand c**5 - 3*c**5 + 0*c**5 + (3*c**2 + 4*c**2 - 5*c**2)*(-4*c**3 + 0*c**3 + c**3).
-8*c**5
Expand (-4*x - 2*x**2 + 4*x)*(-11222*x**3 + 0 + 11223*x**3 - 101*x**2 - 2).
-2*x**5 + 202*x**4 + 4*x**2
Expand ((-w - 3*w + 3*w)*(-2*w - 2*w + 2*w) - 7*w**2 + 7*w**2 - 6*w**2)*(-2 + 1 + 0).
4*w**2
Expand (-37*x + 35*x**2 + 37*x)*(-5*x**2 + 0*x**2 + 4*x**2)*(2*x - x + 0*x).
-35*x**5
Expand (-6*l**2 + 6 - 3*l + 16*l**2 - 8*l**2)*(3*l**2 + 2*l**2 - 4*l**2).
2*l**4 - 3*l**3 + 6*l**2
Expand (18 - 2*w**3 - 18)*(-2 + 0 + 0)*(3 - w - 3).
-4*w**4
Expand 2*w + w**5 - 2*w + 2*w**5 + 0*w**5 - 6*w**5 + (-5*w**2 + 4*w**2 - w**2)*(w**3 - w**3 - w**3) + 0*w**5 + w**5 + w**5 + 1 + w**5 + 2*w**3 - 2*w**3.
2*w**5 + 1
Expand (-2*o + 0*o - o + (-o + 0*o + 0*o)*(-2 - 2 + 2))*(-3 - o + 3) - 2*o**2 - o**2 + o**2.
-o**2
Expand (0*q**2 + 3*q**2 - q**2)*(-4*q - 2*q**3 + 4*q) + (q**3 + 0*q + 0*q)*(-5*q**2 - 3*q**2 + 2*q**2).
-10*q**5
Expand (-3*r**4 + 0*r**3 + 0*r**3)*(2*r - 2 + 2) - 5*r**5 - 4*r**4 + 4*r**4.
-11*r**5
Expand (3 - 3 + 2)*(-2*i + 0 + 0)*(-1 + 0 - 4)*((2*i - 5*i + i)*(0*i + 0*i - i) - i**2 + 2*i**2 + 0*i**2).
60*i**3
Expand (0*u + 13*u - u)*(-2*u**2 + 2*u**2 - u**2).
-12*u**3
Expand 0*c**2 - 3*c**2 + 2*c**2 + (-3 - 4 + 5)*(2*c**2 - 2*c**2 - c**2) + 2 - 5*c**2 + 1 - 2.
-4*c**2 + 1
Expand (3*b**2 - 3*b**2 - b**2)*((2 + 1 - 1)*(3 - 4 - 3) + 4 + 1 - 3 - 1 - 2 + 1).
8*b**2
Expand (-o**2 + 4*o**2 - 4*o**2)*(0*o - o + 0*o + o - o - o + (-1 + 2 - 3)*(-2*o + o + 0*o) - 2*o + 2 - 2 - 3*o + 0*o + o).
4*o**3
Expand (0*a**2 - 3*a**2 + 2*a**2)*(-4 + 0 + 3) + 3*a + 2*a**2 - 3*a + a**2 - 3 + 3 - 2*a + 0*a + 8*a**2 - 3*a**2.
9*a**2 - 2*a
Expand (2*o**4 + 3*o**4 - 3*o**4)*(7 - 4 - 2).
2*o**4
Expand 2*p**3 + 3 - 3 + (5*p - 3*p + 0*p)*(7 + 7*p**2 - 7) + 2*p - 2*p - p**3.
15*p**3
Expand (-2 - 2*w + 2)*(3*w**2 - w**2 - w**2) - 3*w**3 - 12*w**3 + 5*w**3 + (w + 4*w - 4*w)*(1 - 1 + 3*w**2) + (-3*w - 2*w**2 + 3*w)*(-w + 2*w + w).
-13*w**3
Expand (1 - 4*c - 1)*((3 - 3 - 1)*(-2 + 2 - 4) - 2 + 9 - 3).
-32*c
Expand (0 + 0 - 2*u**4)*(2 + 0 - 3) - u**4 + 5*u**2 - 5*u**2 + 0*u**4 + u**4 - 5*u**4 + u**4 - 4*u**4 + u**4 + (-2 + 2 + 2*u)*(2*u**3 - 4*u**3 + 0*u**3).
-9*u**4
Expand 6*o**2 + 3*o**4 + 3*o**4 - 4*o**4 + (2 - 2 + o)*(o**3 - 6*o**3 + 4*o**3).
o**4 + 6*o**2
Expand (-3 + 1 + 1)*(l + 3*l + 3*l)*(3 + 2 - 3).
-14*l
Expand ((h - h - 2*h**2)*(-3 - 2*h + 3) - 4*h**3 + 2*h**3 + 0*h**3 + 0*h**2 + 0*h**2 + h**3 + 4*h**3 - 3*h**3 - 3*h**3)*(-h + 3*h - 9*h - 3)*(2 - 3 - 6).
49*h**4 + 21*h**3
Expand f**2 - f**4 + 2*f**4 + 3*f**4 + (-f + 0*f + 0*f)*(-f**3 - f**3 + 4*f**3).
2*f**4 + f**2
Expand -2 + 2 + 3*s**2 + (1 + 0 - 3)*(29*s**2 - 22*s**2 + 35*s**2).
-81*s**2
Expand (5*p - 6 + 6)*(-1 + 1 + 2) + (3*p + 2*p - 4*p)*(2 + 0 + 0).
12*p
Expand (-2*r + r + 2*r)*(-2*r + r + 2*r)*(7 - 7 - 3*r) + 2*r**3 - 7*r**3 - 7*r**3.
-15*r**3
Expand (s**3 + 3*s**3 - 5*s**3)*(-s**2 + 9*s - 9*s + (-3*s + 3*s - 2*s)*(2*s - 3*s + 3*s)).
5*s**5
Expand 19 + 9*d**3 - 19 + (2*d**2 + 3*d**2 - 3*d**2)*(-2*d - 3*d + 3*d) + d**2 - d**2 - d**3 - 2*d**3 + 2*d**3 + d**3 + (-3 - d + 3)*(3*d**2 - 3*d**2 + 2*d**2).
3*d**3
Expand (-2*l + 0 + 0)*(3 + 4 + 1)*(2*l**2 - 2*l**2 + 2*l**3).
-32*l**4
Expand (3 + 1 - 3)*(4*a - a - a) - 28 + 28 + 20*a - a + 4*a - 4*a + (0 - 1 + 3)*(-2*a - 2*a + 2*a) - a + 2*a + a + (0 + a + 0)*(0 + 0 - 1).
18*a
Expand (p**5 - p**4 + p**4)*(0 - 2 - 3) + (-3*p**4 + 6*p**4 - p**4)*(3*p + 0*p - p) - 3*p**5 - 2*p**4 + 2*p**4.
-4*p**5
Expand (-27*s + 27*s + 5*s**2)*(-3*s + 3*s - s**2)*(-3*s + 3*s + 2*s + (-s + 2*s + s)*(-3 + 3 - 1) - 4*s + s + s + 2*s + 2*s - 3*s + s - 4*s + 2*s).
10*s**5
Expand (2 - 2 - 2*k)*(-k - 33 + 33) - 3*k + 3*k + k**2 + (0 + 0 - 2)*(-k**2 + 3*k**2 + 0*k**2).
-k**2
Expand (-9*y**3 + 15*y**3 + 7*y**3)
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon denominator of i and (-3)/(-2)*(-142)/(-6).
4
Suppose 2*d + 1 = 3*g, -2*d = -g - 4*d + 3. Calculate the lowest common multiple of g and 2 - (5 - 1) - (-55)/5.
9
Let n(a) = a**2 + 4*a - 1. Let o be n(-5). Suppose -h + 16 = 2*w, o*h - w - 64 = -5*w. Calculate the least common multiple of h and 22.
176
Find the common denominator of 117/20 and (-4)/48*258/(-4).
40
Let q(x) = -x + 12. Let l(c) = -1. Let u(h) = 6*l(h) + q(h). Calculate the smallest common multiple of 18 and u(-8).
126
Let h = -1 + 3. Suppose -2*v - 7 + 15 = 0. Suppose 0 = v*c - 32 - 0. What is the least common multiple of h and c?
8
Calculate the lowest common multiple of (-74)/(-3) - (-24)/(-36) and 16.
48
Let s = 11 - 7. Suppose -3*x + 8 = -t, 4*t - s*x + 2*x = 8. Calculate the lowest common multiple of 22 and t.
44
Let q be 14/51*(1 + -4). Let g = q - -275/272. Calculate the common denominator of 109/22 and g.
176
Suppose 0 = -10*i + 21*i - 418. Calculate the common denominator of i and 103/26.
26
Suppose 15 = -5*m - 15. Let h = m - 12. What is the common denominator of 59/16 and ((-6)/(-72))/((-8)/h)?
16
Let t = 423/187 + 28/17. What is the common denominator of ((-212)/(-6))/((-50)/(-15)) and t?
55
Let x be (-1 + 1 - 0)/3. Suppose -c - c - 4*f + 28 = x, f - 16 = -c. Calculate the smallest common multiple of c and -1 + 1 - 1 - -7.
18
Let z(i) = 6*i - 1. Let p = 13 + -9. Suppose -2*d - 3 = -d, 0 = 4*b + 4*d - p. Calculate the lowest common multiple of z(1) and b.
20
Calculate the common denominator of -79/12 and (228/648)/((1/(-3))/(-1)).
36
Let g(s) = s**2 - s - 2. What is the least common multiple of g(-2) and 7?
28
Let y = 7765 - 77727/10. Calculate the common denominator of -101*1/24*(-21)/(-14) and y.
80
Let q(z) = 5*z - 60. What is the smallest common multiple of 34 and q(14)?
170
Let q(j) = -j**3 + 7*j**2 - 5*j + 5. What is the lowest common multiple of 27 and q(5)?
270
Let o be (-1 - 3)*69/(-12). Let m = o + -13. What is the smallest common multiple of m and 8?
40
Calculate the common denominator of 59/(-6) + (-8)/4 and 87/16.
48
Suppose 3*v + 12 - 2 = 4*r, -16 = 2*v - 5*r. Calculate the smallest common multiple of v and 10.
10
Let q(o) = -o**2 + o + 4. Let y be q(0). Suppose -4*j = 3*w + 285 - 83, -2*j = 3*w + 206. Calculate the smallest common multiple of 3 and w/(-8) + (-3)/y.
24
Let h = 56 + -144. What is the common denominator of (-222)/(-20)*2/(-12) and -107*2*(-2)/h?
220
Let m = 4557 + -50164/11. Let i = -5 + 10. Calculate the common denominator of 61/(-2)*i/(-25) and m.
110
Let z = 15211 - 334581/22. Let v = -14/199 - 106409/796. Let f = -315/2 - v. Calculate the common denominator of f and z.
44
Let d = -2084331/32980 + 316/5. Let b = 8807307/13192 + d. Let z = 669 - b. What is the common denominator of -7/5 and z?
40
Let q = -183 - -554/3. What is the common denominator of q and -5/4?
12
Let x(q) = -q**2 + 6*q + 4. Let g be x(6). Find the common denominator of 28/(-50)*(-360)/32 and g/(-6)*(-348)/(-28).
70
Let m = 32/333 + -26755/4662. Calculate the common denominator of m and 35/2.
14
Let j(z) = -15*z - 40. Calculate the smallest common multiple of j(-4) and 12.
60
Let c = -12 + 22. Let k(w) = 5*w + 4. Let r be k(6). Let f = r + -16. What is the lowest common multiple of f and c?
90
Suppose 0 = -5*z - 2 - 68. What is the lowest common multiple of 4/14 - 108/z and 8/5*45/6?
24
Suppose -5*c - 6*r = -9*r - 40, 0 = c + 2*r - 8. Suppose 0 = -3*t - t + 24. Suppose t*q - 30 = q. What is the lowest common multiple of q and c?
24
Let h = -24 + 35. Suppose -6*p + 12 = -2*p. Suppose 0 = p*f + 5*t + 1, -5*f - 8*t + 15 = -3*t. Calculate the smallest common multiple of h and f.
88
Let o = -212 + 221. Suppose 5*j - 4 = -29, 2*j = -4*m + 2. Calculate the smallest common multiple of o and m.
9
Calculate the common denominator of 85/126 and (-167)/(-60) + 8/(-6).
1260
Let r(h) = -h**3 - 30*h**2 + 9. What is the least common multiple of r(-30) and 19?
171
Let y(g) = g**2 + 4*g - 5. Let j be y(-5). Suppose -3*h - 7 + 1 = j. What is the common denominator of h/(-16)*(41 - -2) and 24/5?
40
Suppose 0*n - 3*n + 21 = 2*m, n = 4*m - 7. Suppose -4*a = m*p - 0*p - 63, -6 = 2*p. What is the least common multiple of a and ((-8)/12)/((-2)/24)?
72
Suppose 190 = -5*z - 1140. Calculate the common denominator of z/(-77) + -5 + 2 and -13/7.
77
Let t = 10 + -16. Calculate the common denominator of (2/(-18))/(t/(-153)) and 1/20.
60
Let h = 41009/18073 + 6/1643. What is the common denominator of h and -16/7?
77
Suppose 0 = 2*x - 6*x. Suppose 2*d + x*d = 18. Let p(n) = n - 5. What is the smallest common multiple of 6 and p(d)?
12
Suppose -5*j - g + 19 = 0, 0*j + 2*j = -4*g + 4. Calculate the lowest common multiple of 12 and j.
12
Suppose 2*p + 55 = -25. Find the common denominator of -91/8 and (-1)/p*450/12.
16
Suppose -q + 18 + 8 = 0. Calculate the smallest common multiple of q and 4.
52
Suppose -112 = -2*t - 6*t. Calculate the smallest common multiple of t and 16.
112
Let q = 8/37 - -89/444. What is the common denominator of -7/6 and q?
12
Let z = -1/3803 - 384083/76060. Find the common denominator of z and 51/20.
20
Calculate the least common multiple of 294/(-56)*8/(-3) and 102.
714
Let j be ((-63)/(-6))/((-2)/4). Let y = -47861/8 + 5993. What is the common denominator of 1 - ((-432)/j)/4 and y?
56
Let g = 6/197 - -8441/985. Let y(t) = 4*t - 6. Let p be y(2). Calculate the common denominator of (-15)/p*5/100 and g.
40
Suppose -4 = -2*s + s. What is the smallest common multiple of 8 and s?
8
Suppose 38*g - 39*g + 1 = 0. Calculate the smallest common multiple of 9 and g.
9
Let t = 24 + -59. Let s = t + 51. Suppose 2*d - 4*f - 28 = 0, -2*d = 2*d - 3*f - 51. Calculate the smallest common multiple of s and d.
48
Let o = -48 - -28. Calculate the common denominator of 21*o/(-132) + 1 and 7/4.
44
Let g = -118069/12 - -9831. Find the common denominator of g and 19/6.
12
Let w(t) = -t + 5. Let k(r) = -r + 11. Let x be k(5). Let d(o) = o**3 - 6*o**2 + o + 3. What is the least common multiple of w(0) and d(x)?
45
Let v = 4 - 6. Let k(r) be the first derivative of r**4/4 + 2*r**3/3 + r - 1. Calculate the lowest common multiple of k(v) and 6.
6
Suppose -144 = -q - 3*q. Let f = 250 + -656. What is the common denominator of 68/9 and 9/q + f/40?
90
Let n = -21 + 25. Suppose 6*g - 8*g + n = 0. Calculate the least common multiple of 8 and g.
8
Let o be (-9)/((-27)/(-30)) - 3. Let s = 22 + o. Calculate the smallest common multiple of s and 13.
117
Let t(j) = j - 5. Let a be t(6). What is the lowest common multiple of 7 and 2 - a*(-4 + 1)?
35
Let b be 2/1 - 1*3. Find the common denominator of b/(-2)*(-142)/(-4) and -19.
4
Suppose -2*w - 2*v = -5*v - 41, -4*w + 2*v = -70. Suppose -5*y + 2*y = g - 56, -5*y = -5*g - 120. What is the least common multiple of w and y?
80
Suppose -4*x + 2 = 5*b - 7, 3*b = -5*x + 8. Calculate the common denominator of -51/16 and x + -4 + 21/(-30).
80
What is the common denominator of ((-2)/8)/(11/(-172)) and -46/13?
143
Let i = 6 - 17. Find the common denominator of i and 43/7.
7
Suppose -j = -3 - 1. Suppose -3*z - q + 15 - j = 0, 4*z - 3*q = 6. Calculate the smallest common multiple of z and 6.
6
Calculate the least common multiple of 10 and (2 + -2)/(-2) - -22.
110
Find the common denominator of 1/(8/3) - 3 and 39/7.
56
Find the common denominator of 116/28 - (-12)/8 and -99/2.
14
Calculate the least common multiple of 960/28 - (-10)/(-35) and 10.
170
Suppose -2*o = -5*i, 29 = 3*o + 2*o + 2*i. Suppose 3*w + 2*f = 17, -5*w + 0 = o*f - 25. What is the least common multiple of 7 and w?
7
Find the common denominator of -59/5 and 7 - 10 - (-57)/(-10).
10
Let h(u) = 4*u**2 + 3*u - 2. Let m be h(2). Find the common denominator of 31/6 and 1*(43/m - 2).
60
Let u = -18 + 31. Let n = -213 - -215. Calculate the lowest common multiple of u and n.
26
Calculate the smallest common multiple of 14 and (0 - 10)*(0 + 8/(-20)).
28
Let f be 2/(-69)*(-24)/(-602). Let k = f - 865231/124614. What is the common denominator of k and 95/12?
36
Let q = -11565/14 + 823. What is the common denominator of 151/6 and q?
42
Let t = 3 - -5. Suppose 3*m = 2*m + t. What is the lowest common multiple of m and 7?
56
Suppose -5*l - 4*b - b + 510 = 0, -2*l + 202 = 3*b. What is the common denominator of l/3*(-39)/182
|
{
"pile_set_name": "DM Mathematics"
}
|
*p**2 and give k.
24
Rearrange -40*j - 25*j - 28*j - 2*j to q*j + w and give q.
-95
Rearrange 0*u**3 + 1 + 3*u - 210*u**2 - 6*u - 4*u**3 + 209*u**2 + 0*u**3 to the form o*u**2 + y*u + q + x*u**3 and give q.
1
Rearrange (-7*i**2 + 2*i**2 + 2*i**2)*(-3 + 26 - 137) to u + l*i + r*i**2 and give r.
342
Rearrange -114*q - 56*q - 405*q to the form o*q + m and give o.
-575
Rearrange (-39 - 12 + 12)*(-l**2 + l**2 - 2*l**2)*(3 - 8 + 21)*(1 + 1 - 3) to t + b*l**2 + n*l and give b.
-1248
Rearrange 1 - 6*z - 9*z**2 - 3*z**4 - z**3 - 23*z**2 + 28*z**2 to the form b*z**3 + n*z**4 + v*z**2 + a + i*z and give n.
-3
Express -j**3 + 35 + 5*j**3 - 2*j**3 - j**2 in the form u*j**3 + y + x*j**2 + n*j and give y.
35
Express -14*m - 147*m**2 - m**3 + 145*m**2 - 4*m**3 in the form z + t*m**2 + s*m**3 + h*m and give s.
-5
Express (-30 - 83 + 22)*(0*d + d + 0*d)*(-d**2 - 2*d**2 - d**2) in the form h*d + x + z*d**3 + l*d**2 and give z.
364
Express -1160*g + 521*g + 573*g in the form y + t*g and give t.
-66
Express -6 + 11 - 18066*z**2 + 16 + 18070*z**2 - 4*z**4 as n*z**2 + v + q*z**4 + j*z + k*z**3 and give v.
21
Express (5 - 3 + 1)*(27 + 87*g - 27) as j*g + w and give j.
261
Express 16 + 3 + 0 - h - 2*h**4 - 9*h**2 - h**3 + 2 + 4*h**2 in the form f*h**3 + w + y*h**2 + d*h + g*h**4 and give d.
-1
Rearrange (5*f - 2*f + 0*f)*(3 - 3 - 6*f) - 22*f - 3*f**2 + 22*f + (-4 + f**2 + 4)*(0 + 0 + 1) to s*f + o + d*f**2 and give d.
-20
Express -u + u**4 - 43 + 16 + 25 + 3*u**2 - 4*u**2 in the form s*u**3 + k*u + r + g*u**4 + b*u**2 and give r.
-2
Express (27*b - 20*b + 38 - 8*b)*(b + 3*b - 2*b) + (4*b**2 - 2*b**2 - 4*b**2)*(4 + 0 - 2) as p*b**2 + r*b + l and give r.
76
Rearrange -6*o**3 - 3*o**3 + 11*o**3 + 11*o + 45*o + 2 to l*o**2 + w + m*o + y*o**3 and give y.
2
Rearrange 6 + 2*x**2 - x + 426*x**3 + 11 + 0 - 413*x**3 to the form s + k*x**3 + u*x + b*x**2 and give b.
2
Rearrange 97*y**3 - 77*y**3 - 8 - 78*y**3 to the form o + r*y**3 + m*y + k*y**2 and give r.
-58
Express (-6 + 2 + 2)*(2 - 2 - 6*w - 6 - 5*w + 6 + 3*w - 2*w + 0*w + (-4 - 2 + 4)*(2*w - 1 + 1) - w + 5*w - w) in the form c*w + h and give c.
22
Express a**2 + 4 + 3*a**4 - a**4 + 0*a**2 - 3*a**4 - 5 as u + z*a**3 + d*a**4 + t*a + y*a**2 and give u.
-1
Rearrange 17 + 7 + 14 - 37 - 93*t to the form a + q*t and give a.
1
Rearrange -3 + 7*c + 4 - 17*c**4 - 2*c to i + p*c + u*c**4 + m*c**2 + j*c**3 and give u.
-17
Express -4*q**3 + 5*q**3 - 5*q**3 + (-3*q**3 + 3*q**3 - 2*q**3)*(-2 + 1 + 0) + 3*q - 3*q - 8*q**3 as n + d*q + s*q**3 + p*q**2 and give s.
-10
Rearrange 77*j**2 - 106*j**3 - 2*j + 204*j**3 - 101*j**3 to y + o*j**3 + p*j + n*j**2 and give o.
-3
Rearrange ((1 - 2 + 0)*(-3 + 3 - 2) + (0 - 2 - 3)*(-2 + 2 + 2))*(-3 + 2*u + 3)*(42 - 127 - 45) to b*u + m and give b.
2080
Express -2*v - 3441*v**2 - 16*v - 3 + 3435*v**2 in the form q*v + r*v**2 + n and give n.
-3
Express (3816*l**2 + 347 + 2*l - 3815*l**2 - l**3 - 37)*(1 - 2*l - 1) in the form t*l + z*l**4 + w*l**2 + x*l**3 + n and give x.
-2
Express h - 2*h**3 + 3*h + 0*h**3 - 3*h + 3*h**2 as a + s*h**3 + d*h + r*h**2 and give r.
3
Rearrange (-s - s + 3*s)*(994 + 950 - 40 + 2067 - 1188) to o*s + k and give o.
2783
Rearrange (-2*y**2 - 2*y + 2*y)*(15642 - 33185 + 15618) to the form c + a*y**2 + i*y and give a.
3850
Express -11 - 58*o + 0 + 10 as i + g*o and give i.
-1
Rearrange (0*m - 2*m - m)*(-34 + 26 - 52 + 169) to l*m + t and give l.
-327
Rearrange -4*a**2 - a - 9*a**2 - 8*a**3 - 10*a**2 + 27*a**2 - a**4 to z*a**4 + w + y*a + x*a**3 + v*a**2 and give x.
-8
Rearrange -1278 + 3*k + 1278 + 53*k**3 to the form w*k + o*k**3 + i*k**2 + h and give w.
3
Rearrange -7*m - 82 + 34*m**2 + 39 + 43 + 2*m to the form f + p*m + u*m**2 and give p.
-5
Express 2*z - 143 - 151 + 296 + z**4 - 2*z**3 + 11*z**2 in the form r*z**2 + m*z + y + k*z**4 + f*z**3 and give k.
1
Rearrange 4*f**3 - 632*f**4 + 5*f**2 + 633*f**4 - 4*f**2 to h*f**2 + u*f**3 + c + a*f**4 + n*f and give h.
1
Express (39*b**2 - 7*b**2 + 33*b**2)*(2*b + 10 + 3 - 12) as r + o*b**2 + j*b**3 + v*b and give o.
65
Express (4*s + 4*s - 3*s)*(-3*s + 13 - 13)*(0*s - 6*s - s) as b*s + x*s**3 + l + f*s**2 and give l.
0
Rearrange -2*s - 9*s - 9*s + (-3 + 3 - 10)*(s + 4*s - 3*s) to the form r + f*s and give f.
-40
Express -c + 1301 + 36*c**3 - 1300 - 11*c**3 + 16*c**3 in the form j + v*c**2 + p*c + f*c**3 and give f.
41
Express 2 + 11*v - 6 + 2 + v - 2*v - 2*v + 4*v - 5*v + 0*v + (v + 2 - 2)*(2 + 1 - 5) + 2 - 2*v - 2 + 5*v - 4*v - 3*v in the form h + s*v and give h.
-2
Rearrange -83*h**2 - 7 + 9 + 0 + (72 + 2*h - 72)*(-h + 6*h - 2*h) to z*h + c*h**2 + x and give x.
2
Rearrange (8 - 3*s + 2 + 7)*(0 - 5 + 1) to the form f*s + p and give p.
-68
Rearrange (-3 - 5 + 6)*(4 + 1 + 6)*(-5 + 2 + 0)*(-7*j - 92 + 92) to the form o + q*j and give q.
-462
Rearrange 3*m**3 - 1 - 65*m**2 + 32*m**2 - m**3 - 3*m**4 + 29*m**2 to p*m**4 + t*m + h*m**3 + q*m**2 + a and give p.
-3
Express y - 3*y - 11*y**2 + 20*y**2 - 8*y**2 - 11*y**2 + 3 in the form u*y + z + m*y**2 and give u.
-2
Express -n**3 - 5*n**3 + 4*n**3 + (9*n**2 + 23*n**2 + n**2)*(-n + 3*n - 3*n) - n**3 + 3*n**3 - 3*n**3 as i*n**2 + p*n**3 + c + h*n and give h.
0
Express (2*f**2 - 4*f**2 + f**2)*(-69*f**2 - 94*f**2 + 337*f**2) as p*f**3 + t*f**4 + m*f**2 + u + l*f and give t.
-174
Rearrange -101*v - 105*v + 58*v - 1 to k*v + l and give l.
-1
Express (-5 + 1 + 5)*(-1 - 3 + 5)*((2*t - t - 2*t)*(-3 + 3 - 2) - t + t + 3*t - 91*t + 7*t + 17*t) as n + d*t and give d.
-62
Express -2*s + 3 + 3*s**2 + 0 - 2 + (-3 + 2 - 2)*(2*s**2 - 5*s**2 + 2*s**2) in the form x*s**2 + u + t*s and give u.
1
Rearrange -268*j - 21*j - 41*j - 213*j - 89*j to t + k*j and give k.
-632
Express 2 - 5 + 197*v**2 + 3 as c + o*v**2 + n*v and give o.
197
Express 26 - p - 112 + 41 in the form y*p + n and give n.
-45
Express (33 + 59*u - 33)*(4*u**2 + u**2 - 4*u**2) + 9*u**3 + 0*u**3 + u**3 - 2*u**2 as n*u**3 + l*u**2 + h + g*u and give l.
-2
Rearrange 15*f**4 + 2*f - 2 + f**3 - 4*f**3 + 0 - f**3 + 2*f**3 to u*f**3 + r*f + i + v*f**4 + z*f**2 and give u.
-2
Rearrange (-2 + 0 - 1)*(-39*o + 39*o + o**3 + 17*o**2) + (o**2 + o - o)*(-o - 2 + 2) to n*o**2 + i*o**3 + v + k*o and give n.
-51
Express 12*a**2 + 6*a + 38*a - 1 + 1 - 9*a as o*a + c*a**2 + x and give o.
35
Rearrange (0*m**2 + 3*m**2 - 5*m**2)*(-3 + 3 - 2*m) - 11*m**3 + 11*m**3 - 9*m**3 + 56*m**3 + 7*m**3 + 11*m**3 to c*m**2 + a + l*m + p*m**3 and give p.
69
Express (-3*n - n**2 + 6 - 5 - 4)*(2 + 4*n**2 - 10 - n**2) as u*n**4 + k*n**2 + c*n**3 + q + r*n and give u.
-3
Rearrange 2*a**3 + 11*a**2 - 13*a**2 + 2*a + 0*a**3 - 4*a**3 to t*a**3 + b + v*a + z*a**2 and give t.
-2
Express (-6*z**2 + 1 - 1)*(-8 + 2 + 2*z - 1) in the form k + g*z**2 + c*z + f*z**3 and give f.
-12
Express -30*q**4 + 2*q - 3*q**3 - 3*q**2 + 2 + 54*q**4 - 40*q**4 + q**2 in the form n*q**2 + b*q**4 + c + x*q**3 + s*q and give b.
-16
Rearrange 73 - 19 - 54 + 2609*c**2 + 2*c to the form v*c + b*c**2 + f and give b.
2609
Express 2*i**2 + 45*i - 2*i**3 + 34*i + 29*i - 6*i as g*i + d*i**3 + w*i**2 + v and give d.
-2
Rearrange 94*a - 26 - 102*a - 7 - 45 to p*a + u and give u.
-78
Rearrange (0 + 4 - 3)*(1 + 0 + 1)*(-244*p**2 - 143*p**2 + 49*p**2) to the form w*p + x*p**2 + k and give x.
-676
Rearrange -207*l**2 + 221312*l - 221312*l to m*l + v*l**2 + u and give v.
-207
Rearrange -10 + 8 - 3*g**2 - 201*g**3 - g**2 + 3*g**2 + 2*g to b*g + t + z*g**2 + f*g**3 and give b.
2
Rearrange 4*i**4 + 0*i - 4*i**2 + 1626 - i**3 - 1624 + 2*i to j*i**4 + v*i + o*i**2 + l*i**3 + b and give j.
4
Rearrange 263*a**4 - 2*a**3 - 527*a**4 - 2*a + 262*a**4 - 3*a**2 + 1 to c*a**3 + p*a**4 + i*a**2 + l + q*a and give c.
-2
Rearrange ((13*c**3 + 18*c**3 - 6*c**3)*(2 + 0 - 1) - 12*c**3 - 11*c**3 + 9*c**3)*(-2*c - c + 2*c) to the form u*c**3 + j*c**2 + i + o*c + a*c**4 and give a.
-11
Rearrange 5 - t + 84*t**2 - 10 + 5 + 57*t**2 to the form k*t + u*t**2 + g and give u.
141
Express 1030*n - 2060*n + 1015*n - 3 - 3 in the form d + f*n and give d.
-6
Rearrange -1 + 255*l + 1 - 378*l to the form z + d*l and give d.
-123
Express -34*z + 62*z + 32*z - 3 - z + 3 + (11 + 3 - 4)*(-1 + 1 + z) in the form o + c*z and give c.
69
Express -3*t - 39 - 2*t - 13*t + 40 as l + u*t and give l.
1
Rearrange (0 + 0 + k**2)*(59*k**2 + 58*k - 115*k + 52*k) to h*k**2
|
{
"pile_set_name": "DM Mathematics"
}
|
.7, -2/23, 1?
-2/23
Which is the biggest value? (a) -2/9 (b) 2 (c) -1.3
b
What is the third smallest value in -135, 1/9, -1?
1/9
Which is the third smallest value? (a) 1/2 (b) 0.4 (c) 26
c
Which is the second smallest value? (a) 2 (b) -3 (c) -0.2 (d) 0.1
c
Which is the second biggest value? (a) -2 (b) -18.7 (c) 0
a
What is the smallest value in -2, -4, -110, 5?
-110
What is the second smallest value in 198, -2/3, -3?
-2/3
What is the third biggest value in 5, -14, -0.1, 2/5?
-0.1
Which is the second biggest value? (a) 0.1 (b) -0.21 (c) 2/13 (d) -0.5 (e) -0.4
a
What is the second biggest value in -38, 0.4, -9/2?
-9/2
Which is the third smallest value? (a) 2322 (b) 0.1 (c) -0.3
a
What is the fourth smallest value in -4, -0.3, 2/5, -2?
2/5
Which is the second smallest value? (a) -1/2 (b) 1 (c) -3 (d) -2.2
d
What is the smallest value in -2/23, 4, 7?
-2/23
What is the biggest value in 1/7, -6, 0.1?
1/7
What is the third biggest value in -3/8, -0.0161, 4/3?
-3/8
Which is the third smallest value? (a) -64 (b) 22 (c) 0.1
b
What is the biggest value in 2/85, 0.3, -1, -2?
0.3
What is the smallest value in 97, -2/7, -22?
-22
What is the third smallest value in 1/5, -25, 1/4?
1/4
What is the third biggest value in -1, 0.4, 2, -5?
-1
What is the second smallest value in -0.13, 0.01, -2/11, 0, -2/5?
-2/11
Which is the second smallest value? (a) -0.4 (b) 1 (c) 41 (d) -1/5
d
Which is the third smallest value? (a) -335 (b) 0.5 (c) 1 (d) -2/23
b
Which is the smallest value? (a) 0.5 (b) 2 (c) -3 (d) 12
c
What is the smallest value in 5, -2, 4/3, -2/19?
-2
What is the third smallest value in -0.5, -19.4, 1, 0.5?
0.5
Which is the third smallest value? (a) 17 (b) -2/9 (c) 3 (d) 4
d
Which is the biggest value? (a) -2120 (b) -5/4 (c) -1/6 (d) 5 (e) -2/3
d
Which is the smallest value? (a) -3/2 (b) -45 (c) 4 (d) 0.1 (e) 1/2
b
What is the third biggest value in 42.9, -0.4, -4, 2/13?
-0.4
What is the fourth smallest value in -1/4, -216, -3/5, 2/7?
2/7
Which is the third smallest value? (a) -2/5 (b) -3 (c) -0.83
a
Which is the third smallest value? (a) 0.7 (b) -0.02 (c) -3
a
Which is the third smallest value? (a) 0.1 (b) 11 (c) -1 (d) 0.4 (e) 0
a
Which is the second biggest value? (a) 1/46 (b) -1/5 (c) 0.3 (d) -0.1
a
Which is the third smallest value? (a) -5 (b) 0.4 (c) -3/8 (d) 8/15
b
Which is the biggest value? (a) -1 (b) 2/5 (c) 0.2 (d) 1/8 (e) -4/3
b
What is the second smallest value in -2/19, -2/11, 1, 0?
-2/19
Which is the fourth smallest value? (a) -71 (b) -0.4 (c) -2/11 (d) 2/9
d
Which is the second smallest value? (a) 4 (b) -5 (c) -49 (d) 3
b
What is the second biggest value in 4/5, -4, 3, -0.07, -2/9?
4/5
What is the third biggest value in 4, -4, -11, 5?
-4
What is the second smallest value in 11, 3, -1, 4?
3
Which is the second biggest value? (a) 5 (b) 2 (c) -0.01
b
Which is the third smallest value? (a) -0.4 (b) 1/2 (c) -86 (d) 4
b
Which is the fifth smallest value? (a) -3 (b) 0.2 (c) -0.2 (d) -36/5 (e) -2
b
Which is the smallest value? (a) -1953 (b) -1/8 (c) 1/3
a
Which is the smallest value? (a) -206 (b) 5 (c) 0.3
a
What is the fourth biggest value in 1/9, 1/10, 0.21, 8/3?
1/10
What is the smallest value in 3, -2/11, -22, -1?
-22
Which is the smallest value? (a) -4 (b) -2/11 (c) 3/154
a
What is the biggest value in -1, -0.9, -4?
-0.9
Which is the fourth smallest value? (a) -5 (b) -1 (c) 4/15 (d) -4/5 (e) 0.2
e
Which is the third smallest value? (a) 37 (b) -3 (c) 3/10 (d) -5 (e) 3/2
c
Which is the second smallest value? (a) -0.2 (b) -2/27 (c) 221
b
Which is the third biggest value? (a) -0.5 (b) -0.7 (c) -3
c
What is the fourth biggest value in -19, -1/2, 0.1, -2?
-19
What is the second biggest value in -1/40, -5/4, 4?
-1/40
Which is the smallest value? (a) 2 (b) -8 (c) -17
c
Which is the second smallest value? (a) 19 (b) -2 (c) 0.4
c
Which is the smallest value? (a) 22 (b) 39 (c) -4
c
What is the second biggest value in 2/9, -0.2, 19/2?
2/9
Which is the fourth smallest value? (a) 1.5 (b) -30 (c) -0.3 (d) 0
a
Which is the third smallest value? (a) -1 (b) 3 (c) -4 (d) -16 (e) 1
a
What is the second biggest value in -10, -2, 2/7, 0.5?
2/7
What is the third smallest value in -140, 1, 0.2?
1
Which is the fifth smallest value? (a) 1/5 (b) 2.69 (c) 0.5 (d) -0.1 (e) 2
b
What is the fourth biggest value in -3/8, 3, -1, 0, -0.1?
-3/8
Which is the third smallest value? (a) -0.3 (b) -5 (c) 3 (d) -0.031 (e) 1
d
Which is the smallest value? (a) -36 (b) 1/7 (c) 3
a
What is the second biggest value in 4/7, 4, -1/3, -4/3, -0.5?
4/7
Which is the second biggest value? (a) -2.6 (b) 0 (c) 2
b
What is the smallest value in 1/4, 1, 4, 0, -2.1?
-2.1
Which is the smallest value? (a) 13 (b) 0 (c) -1 (d) -0.3
c
What is the fourth smallest value in 5, 0.06, -4, -0.02?
5
What is the fourth biggest value in 3/5, 4.5, -2, -3?
-3
Which is the fourth smallest value? (a) -0.1 (b) 2 (c) 0 (d) 1 (e) 0.4
d
Which is the biggest value? (a) 1 (b) 0.1 (c) -2 (d) -0.4
a
What is the second smallest value in -0.5, 1/24, -0.2?
-0.2
Which is the second biggest value? (a) 1 (b) -99 (c) -1/6
c
What is the second smallest value in 0.4, -2/7, -787?
-2/7
What is the biggest value in 3/8, 218, 2, -1, -2?
218
Which is the third smallest value? (a) 2 (b) -2/21 (c) 169
c
What is the fourth biggest value in -3, 0.3, 1, -196?
-196
Which is the second biggest value? (a) -3 (b) 0.591 (c) -2 (d) 5
b
What is the second smallest value in -0.07, -1, -1/3?
-1/3
Which is the second biggest value? (a) -4 (b) 1/10 (c) -0.9 (d) -2/7
d
What is the third smallest value in 22, -2.5, -5, 2?
2
Which is the smallest value? (a) 12 (b) 5 (c) -0.2 (d) -6
d
Which is the smallest value? (a) 0.2 (b) 0.04 (c) -0.6 (d) 3
c
Which is the fifth biggest value? (a) 3 (b) -2/21 (c) -1/5 (d) -2/17 (e) -1
e
What is the third biggest value in 4, 3/35, -1/6?
-1/6
What is the biggest value in 2/13, 5, -4/3, -1/3?
5
Which is the smallest value? (a) -0.2 (b) -1/18 (c) -0.25
c
Which is the third biggest value? (a) 1/30 (b) 0 (c) -6/31 (d) -1/2 (e) 3
b
What is the fifth biggest value in 3, 2/5, 1/3, -0.2, -1113?
-1113
What is the biggest value in 14, -22, 0, -3/7?
14
What is the third biggest value in -2/5, -4, 1685?
-4
What is the third biggest value in 0, 17.1, -1, 1/58?
0
Which is the smallest value? (a) 16 (b) 6 (c) 1.3
c
Which is the second biggest value? (a) -0.1 (b) 79 (c) -0.4
a
What is the fourth smallest value in 1.6, -0.8, -5, -1?
1.6
Which is the smallest value? (a) -34 (b) 1 (c) 1.01
a
What is the third smallest value in 15.2, 0.5, -2/17?
15.2
Which is the second smallest value? (a) 0.5 (b) -5 (c) -9 (d) -19
c
Which is the third smallest value? (a) -0.7 (b) -2 (c) -1/8 (d) 0.07
c
What is the second biggest value in -2, 1, -15/7?
-2
Which is the third smallest value? (a) 1/10 (b) 161 (c) 1/5 (d) -0.3
c
Which is the smallest value? (a) -0.3 (b) 58/3 (c) -4 (d) 0
c
Which is the biggest value? (a) -10 (b) 5 (c) -1/11 (d) -0.2 (e) 0.3
b
What is the second biggest value in -1/2, -4, -1/4, -0.49, -1?
-0.49
What is the fourth smallest value in 83, -1/5, -0.5, 0?
83
What is the fifth smallest value in 1/3, -10, -1/2, -2/11, 0.8?
0.8
Which is the second biggest value? (a) 0 (b) -3 (c) 280 (d) -4/3 (e) -0.1
a
Which is the biggest value? (a) 2 (b) -3/11 (c) -4 (d) -0.2
a
Which is the biggest value? (a) 2.7 (b) -24 (c) 0.3
a
Which is the second biggest value? (a) -97 (b) -1/5 (c) 0 (d) -5
b
What is the biggest value in 5332, -2/13, 2?
5332
Which is the second biggest value? (a) -1/9 (b) 19 (c) -0.4 (d) -2 (e) 7
e
What is the third biggest value in -1, 38, -0.2?
-1
What is the fourth biggest value in -0.06, 53, -0.1, 4?
-0.1
Which is the biggest value? (a) 5 (b) 83 (c) -1
b
Which is the biggest value? (a) 0.05 (b) 29 (c) 4
b
Which is the third smallest value? (a) -0.5 (b) -4 (c) -1/38
c
Which is the third biggest value? (a) 84/11 (b) -5 (c) 4 (d) -2/23
d
Which is the biggest value? (a) -3 (b) 1/162 (c) -1/4
b
Which is the third smallest value? (a) 0.3 (b) 0.5 (c) -122/5
b
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
1. Let x = h - 1. Let l(m) = -m**3 - 3*m - 2. What are the prime factors of l(x)?
2, 3
Let q(s) = -5*s + 9. What are the prime factors of q(-4)?
29
List the prime factors of 10/(-1*4/(-18)).
3, 5
Let n be 2 + -1 - (-10 + 5). Let g(x) = -5*x + 3*x - 1 + 3*x. List the prime factors of g(n).
5
Let x(d) = -12*d + 3. Let q be 2/(-3) + 102/18. Let n(v) = -6*v + 1. Let p(h) = q*n(h) - 2*x(h). What are the prime factors of p(-1)?
5
Let c(g) = g + 3. Let q be c(-4). Let y = 6 + q. What are the prime factors of ((-9)/y)/(3/(-15))?
3
Let w = 6 - 15. Let x = w + 30. List the prime factors of x.
3, 7
Suppose 0 = -2*f + 10, 54 = -5*a - 4*f + 359. List the prime factors of a.
3, 19
Suppose 0 = -5*l - 5*c + 5, 0 = -3*l + c + 23 - 8. List the prime factors of l.
2
Let f = 628 + -319. List the prime factors of f.
3, 103
Let h be (-15)/(-2)*(0 + 8). Let a = h + -41. What are the prime factors of a?
19
Suppose 3*c + 2*c - 490 = 0. Suppose -5*g = -c - 117. Suppose 5*z = -2*l + 50, 0*z - l + g = 4*z. What are the prime factors of z?
2, 3
Suppose 2*v - 6*d + d + 6 = 0, 4*v - 2*d = -28. Let p = 12 + v. What are the prime factors of ((-9)/(-2))/(2/p)?
3
Let n(b) = -b**3 - 9*b**2 - b + 4. List the prime factors of n(-9).
13
What are the prime factors of 12/(-21) + (-2496)/(-56)?
2, 11
Suppose 0*f - 15 = -5*f. Let g = f - -6. List the prime factors of g.
3
Suppose 4*n - 673 = -5*d - 5413, -2*n = 5*d + 4730. What are the prime factors of (-8)/36 - d/36?
2, 13
Let v(y) = 2*y + 3. Let d = 8 - 5. What are the prime factors of v(d)?
3
What are the prime factors of (-1)/(205/105 + -2)?
3, 7
Let l(j) = 2*j**2 - 13*j + 21. What are the prime factors of l(9)?
2, 3, 11
Let l(f) be the third derivative of -f**4/4 - 3*f**2. Let j be l(1). List the prime factors of (16/j)/(6/(-45)).
2, 5
Suppose -5 = 2*k - 3*k - 2*s, 0 = 5*k - 2*s - 25. Suppose -g - 69 = 3*r - 26, -k*r + 129 = -3*g. Let w = 62 + g. List the prime factors of w.
19
Let t(h) = h**2 - 16*h + 18. Let y be t(14). Let j be (-1)/(-5) - (-2)/y. Suppose j = 8*a - 11*a + 54. List the prime factors of a.
2, 3
Suppose -2*n - n - 15 = 0. Let w = 24 - 17. Let c = n + w. What are the prime factors of c?
2
Suppose -3*x + 710 = 4*t, 0*t = 5*x + 5*t - 1180. What are the prime factors of x?
2, 3, 13
Let o(r) = r. Let b be o(0). Let s = 48 + -16. Suppose 4*w + s = 4*a, b*w - 2*w = 5*a - 40. List the prime factors of a.
2
Let w(k) = -2*k - 11. Let h be w(-8). Let b be 63/(-5) - 2/h. Let c = b + 24. List the prime factors of c.
11
Let a(w) = -w**3 - 2*w**2 + 3*w + 4. Let o be a(-3). Suppose 4*c + 0*d - 4 = 2*d, -o*d = 4*c + 8. Suppose c*b - 8 = -b. List the prime factors of b.
2
Let q(p) = 88*p**2 - 4*p + 1. List the prime factors of q(1).
5, 17
Let i(v) = 43*v + 9. Let h(z) = 22*z + 5. Let w(r) = -5*h(r) + 3*i(r). Let x be w(3). Suppose 4*g + 49 - 21 = 2*q, 5*q + g = x. What are the prime factors of q?
2, 3
Let f be (11/22)/(2/(-24)). List the prime factors of (-1)/f - 595/(-30).
2, 5
Let r be -4*1/(-2)*-1. Let z(b) = -5 - 1 - 11*b + 4 + 0. List the prime factors of z(r).
2, 5
Suppose r + 0*r = 4, 3*r = -i + 89. Let q = i + -53. List the prime factors of q.
2, 3
Let o be (72/15)/4*5. Suppose 2*y + 16 = o*y. Suppose -16 + 0 = -y*h. List the prime factors of h.
2
Suppose 5*f - 19 + 47 = -3*s, -7 = 2*s + f. Suppose 5*y = 5*h, -5*y = -y - 2*h + 4. What are the prime factors of 1/s*8/y?
2
Let x(s) = -4*s + 7 + 2*s + s. Let f(j) = -j - 2. Let o be f(4). List the prime factors of x(o).
13
Suppose 5 = -u - 12. Let o = -9 - u. What are the prime factors of o?
2
Let l(u) = u - 6. Let n be l(-8). Let c = n - -23. What are the prime factors of c?
3
Let g = -87 + 168. List the prime factors of g.
3
Let p = -10 - -26. Let f = 7 + p. Suppose 0 = -4*d + 5 + f. List the prime factors of d.
7
Let o(q) = q + 7. Suppose -3*v = 0, 0 = -r - 3*v + 3 + 3. Let b be o(r). Suppose -b = -4*p + 7. List the prime factors of p.
5
Suppose 0 = -5*i + 52 + 538. What are the prime factors of i?
2, 59
Suppose -2*f = 4*i - 74, -i + 2*f - 40 = -3*i. List the prime factors of i.
17
Let a(v) = v + 3. Let w be a(-9). What are the prime factors of (-135)/(-6) + (-3)/w?
23
Let a be (-3)/4*(-32)/12. Suppose -3 = -l + a. What are the prime factors of l?
5
Suppose -2 = -3*k + 10. Suppose -2*b = -z - 4, 4 = k*z - z - 2*b. What are the prime factors of z?
2
Let i = 194 + -4. What are the prime factors of i?
2, 5, 19
Let l = 59 - -52. Suppose -5*s + l - 36 = -x, -4*s + 69 = x. List the prime factors of s.
2
Suppose -123 = -c - 8*b + 4*b, -4*b = 20. What are the prime factors of c?
11, 13
Suppose 3*y + 5*b = -9, 0*y + 2*y = -5*b - 1. Let g = 0 + 1. List the prime factors of (y/g)/((-4)/6).
2, 3
Let j be (-1 - 2)/(1/5). Let w = j + 22. Let g(b) = 3*b - 9. List the prime factors of g(w).
2, 3
Suppose -2*u + 130 = -74. What are the prime factors of u?
2, 3, 17
Suppose 864 = 3*a + 6*a. List the prime factors of a.
2, 3
Let b(v) = -8*v**3 + v**2 - 1. Let u(f) = 2*f - 5 - 3*f - 2. Let m be u(-6). List the prime factors of b(m).
2
Suppose 2*p = -2*m - 2, 4*p = 2*m - 3 + 17. Suppose -k = p*k. Suppose k = 3*a - 3*h - 21, -4*a + 3*h = a - 43. List the prime factors of a.
11
Let a(c) = -c + 10. Let f be a(7). Let z be (f + 34/(-8))*-4. Suppose -n = -k + 14, z*n - 1 = -11. List the prime factors of k.
2, 3
Let w be -4 + (4 - 3) - -30. Let r = w + -19. What are the prime factors of r?
2
Let g = -49 + 74. List the prime factors of g.
5
Let c = -21 + 49. Suppose 0 = 5*o + 2*u + c - 91, 3*u + 16 = o. Let i = o - 9. List the prime factors of i.
2
Suppose 4 + 2 = 2*v. Let b(a) = -v + 7 - 4*a - 2*a**2 + 2 + 3*a**2. What are the prime factors of b(5)?
11
Let n(r) = 7. Let k(t) = 11*t + 3*t - 13*t - 7. Let y(p) = 4*k(p) + 3*n(p). What are the prime factors of y(5)?
13
Suppose 18 = 2*k - 12. Suppose 0 = 3*a - k - 27. List the prime factors of a.
2, 7
Let o = 22 + -54. Let t = o - -57. What are the prime factors of t?
5
Let a(s) = -1 - 5*s + 15*s + 0 + 2*s. Let j = 2 - 1. List the prime factors of a(j).
11
List the prime factors of 64 - -1*(-8)/(-12)*3.
2, 3, 11
Suppose -x + 3*h = -5*x + 242, 0 = -3*x - 5*h + 187. List the prime factors of x.
59
Suppose o - 24 = -4*l, -4*o + 29 + 2 = 3*l. Suppose -s = -o*x + 12, -5*x + 4*s = -0*x - 4. List the prime factors of (3 - x) + 21 + -1.
19
Let j(l) = l**2 - 2*l - 1. Let m be j(-1). Let g(i) = -4*i**2 + 5*i + 3*i**m - i + 2*i**2 - 3. What are the prime factors of g(-5)?
2
What are the prime factors of (-3069)/(-55) - 8/10?
5, 11
Suppose 3*p = -3*z + 93, -z + 0*p - 3*p = -23. What are the prime factors of z?
5, 7
Suppose -2*p = -4*p + 184. Suppose -5*h - 46 = -2*t, 0 = -3*t + 6*t + 4*h - p. What are the prime factors of t?
2, 7
Let k = -118 + 182. What are the prime factors of k?
2
Let m(n) = -n - 6. Let x be m(-14). Suppose 5*q + 72 = x*q. What are the prime factors of q?
2, 3
Let t(l) = 2*l**2 + 2*l - 2. What are the prime factors of t(-3)?
2, 5
Let w(m) = -5*m + 5. What are the prime factors of w(-6)?
5, 7
Suppose -5*q + 3*t + 465 = 0, 5*q - t - 430 = -5*t. List the prime factors of q.
2, 3, 5
Let b = -12 - -15. Suppose 2*g - 12 = -2*r - b*g, g = r - 20. List the prime factors of r.
2
Suppose -2*o - 28 = -332. What are the prime factors of o?
2, 19
What are the prime factors of (-7 - 15)/((-2)/3)?
3, 11
Let b(f) = 2*f**2 - 11*f + 11. What are the prime factors of b(5)?
2, 3
Suppose v + 31 = 155. What are the prime factors of v?
2, 31
Let p(o) = 2*o**2 + 3*o - 3. Let h be p(3). Suppose 4*m + h = -2*d, -4*m - 9 = -d + 3. What are the prime factors of 64/6 + m/6?
2, 5
Let k(u) = -u**2 - u + 2. Let r be k(-2). Let b = r + 3. Suppose -b*t + 36 = 4*x, 0*t + x = -t + 12. List the prime factors of t.
2, 3
Suppose 3*v = 8*v - 40. Let g(a) = -a**2 + 8*a + 7. What are the prime factors of g(v)?
7
Suppose f - 5*a = 4*f - 34, 4*a - 14 = 2*f. Suppose -14 - 1 = -f*j. Suppose j*n = 74 - 14. List the prime factors of n.
2, 3
Let s(h) = -6*h**2 - 2*h - 3. Let w(z) = -6*z**2 - 3*z - 4. Let c(t) = -6*s(t) + 5*w(t). What are the prime factors of c(-1)?
7
Suppose -3*y + 0*y + 3 = 0. Let c = 4 - y. Suppose c*s + 28 = 4*s - 5*l, -5*s - 3*l + 28 = 0. What are the prime factors of s?
2
Let r(q) = -43*q + 2. List the prime factors of r(-1).
3, 5
Let a(w) = -w**3 - w**2 + 2. Suppose v + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
of 2379068.
2, 71, 8377
What are the prime factors of 2793845?
5, 558769
What are the prime factors of 109662?
2, 3, 7, 373
What are the prime factors of 449458?
2, 224729
List the prime factors of 32448614.
2, 11, 17, 53, 1637
List the prime factors of 9196483.
83, 179, 619
What are the prime factors of 11519625?
3, 5, 13, 17, 139
What are the prime factors of 1408422?
2, 3, 43, 53, 103
List the prime factors of 144951.
3, 19, 2543
What are the prime factors of 1353436?
2, 7, 48337
List the prime factors of 1953186.
2, 3, 31, 10501
What are the prime factors of 3225465?
3, 5, 229, 313
What are the prime factors of 12415184?
2, 775949
What are the prime factors of 4891847?
23, 53, 4013
What are the prime factors of 1221896?
2, 13, 31, 379
What are the prime factors of 2084751?
3, 77213
What are the prime factors of 12059703?
3, 101, 13267
List the prime factors of 264746.
2, 19, 6967
What are the prime factors of 3297573?
3, 366397
What are the prime factors of 49433?
49433
List the prime factors of 716897.
716897
List the prime factors of 1392815.
5, 278563
List the prime factors of 549852.
2, 3, 45821
List the prime factors of 27323481.
3, 29, 314063
List the prime factors of 552431.
11, 50221
What are the prime factors of 3999892?
2, 13, 61, 97
List the prime factors of 38839028.
2, 9709757
What are the prime factors of 283858?
2, 71, 1999
List the prime factors of 55057.
55057
List the prime factors of 658573.
658573
What are the prime factors of 1325723?
7, 189389
List the prime factors of 1007940.
2, 3, 5, 107, 157
List the prime factors of 854558.
2, 427279
What are the prime factors of 722719?
47, 15377
What are the prime factors of 2504783?
2504783
What are the prime factors of 1312218?
2, 3, 72901
What are the prime factors of 148731?
3, 11, 4507
What are the prime factors of 159421?
159421
List the prime factors of 650145.
3, 5, 89, 487
List the prime factors of 5568576.
2, 3, 13, 23, 97
What are the prime factors of 18096588?
2, 3, 19, 8819
List the prime factors of 6690433.
6690433
What are the prime factors of 395346?
2, 3, 7, 9413
List the prime factors of 1241317.
7, 11, 47
List the prime factors of 186647.
186647
List the prime factors of 28370278.
2, 41, 345979
What are the prime factors of 32698708?
2, 7, 1167811
List the prime factors of 521911.
13, 19, 2113
List the prime factors of 582340.
2, 5, 11, 2647
What are the prime factors of 399280?
2, 5, 7, 23, 31
What are the prime factors of 2929471?
137, 21383
List the prime factors of 1356368.
2, 13, 6521
List the prime factors of 7467808.
2, 109, 2141
What are the prime factors of 698203?
11, 63473
What are the prime factors of 78162?
2, 3, 7, 1861
List the prime factors of 18573.
3, 41, 151
List the prime factors of 489396.
2, 3, 17, 2399
List the prime factors of 3378416.
2, 211151
What are the prime factors of 19878794?
2, 13, 103, 571
List the prime factors of 1960677.
3, 131, 1663
List the prime factors of 797004.
2, 3, 13, 131
List the prime factors of 259107.
3, 86369
List the prime factors of 1740063.
3, 13, 44617
What are the prime factors of 15376594?
2, 7688297
List the prime factors of 31413.
3, 37, 283
What are the prime factors of 433766?
2, 73, 2971
What are the prime factors of 15544010?
2, 5, 1554401
What are the prime factors of 11136794?
2, 5568397
What are the prime factors of 1159740?
2, 3, 5, 17, 379
List the prime factors of 184616.
2, 47, 491
What are the prime factors of 761334?
2, 3, 7, 18127
List the prime factors of 559618.
2, 73, 3833
List the prime factors of 311200.
2, 5, 389
What are the prime factors of 1541350?
2, 5, 29, 1063
List the prime factors of 575838.
2, 3, 31991
List the prime factors of 6110546.
2, 13, 197, 1193
What are the prime factors of 15165503?
3299, 4597
List the prime factors of 92661.
3, 67, 461
What are the prime factors of 13806814?
2, 7, 47, 20983
What are the prime factors of 5973?
3, 11, 181
List the prime factors of 448932.
2, 3, 11, 19, 179
List the prime factors of 7861203.
3, 7, 124781
List the prime factors of 4225403.
7, 13, 59, 787
What are the prime factors of 762413?
19, 40127
List the prime factors of 241420.
2, 5, 12071
What are the prime factors of 11680762?
2, 107, 54583
What are the prime factors of 248620?
2, 5, 31, 401
What are the prime factors of 5637?
3, 1879
List the prime factors of 114829.
11, 13, 73
List the prime factors of 311235.
3, 5, 20749
What are the prime factors of 772983?
3, 3181
What are the prime factors of 50515?
5, 10103
List the prime factors of 5713420.
2, 5, 463, 617
List the prime factors of 182215.
5, 11, 3313
What are the prime factors of 18013494?
2, 3, 223, 13463
List the prime factors of 8356060.
2, 5, 29, 14407
List the prime factors of 824629.
13, 229, 277
List the prime factors of 4644220.
2, 5, 7, 677
What are the prime factors of 4090924?
2, 127, 8053
What are the prime factors of 939523?
13, 72271
List the prime factors of 99135.
3, 5, 2203
What are the prime factors of 448658?
2, 7, 73, 439
List the prime factors of 4482230.
2, 5, 59, 71, 107
What are the prime factors of 3234896?
2, 7, 17, 1699
List the prime factors of 3318892.
2, 829723
List the prime factors of 477914.
2, 83, 2879
List the prime factors of 209113.
79, 2647
List the prime factors of 142619.
142619
What are the prime factors of 52168?
2, 6521
List the prime factors of 6118728.
2, 3, 7, 11, 43
What are the prime factors of 504605?
5, 43, 2347
List the prime factors of 91740.
2, 3, 5, 11, 139
What are the prime factors of 1432147?
1432147
What are the prime factors of 15408755?
5, 3081751
List the prime factors of 803871.
3, 19, 1567
List the prime factors of 2758743.
3, 13, 17, 19, 73
List the prime factors of 964528.
2, 23, 2621
List the prime factors of 1701659.
19, 89561
List the prime factors of 220355.
5, 44071
List the prime factors of 4633.
41, 113
List the prime factors of 813289.
139, 5851
List the prime factors of 3546465.
3, 5, 13, 1399
List the prime factors of 2969834.
2, 7, 212131
What are the prime factors of 1900483?
13, 146191
What are the prime factors of 19023552?
2, 3, 101, 109
What are the prime factors of 12135538?
2, 6067769
What are the prime factors of 6254957?
929, 6733
List the prime factors of 8765450.
2, 5, 175309
What are the prime factors of 369542?
2, 43, 4297
List the prime factors of 401913.
3, 44657
What are the prime factors of 88630?
2, 5, 8863
What are the prime factors of 19148?
2, 4787
What are the prime factors of 188713?
7, 26959
What are the prime factors of 4495572?
2, 3, 151, 827
List the prime factors of 4548740.
2, 5, 7, 32491
What are the prime factors of 781031?
17, 45943
List the prime factors of 252216.
2, 3, 31, 113
List the prime factors of 2386017.
3, 1091
List the prime factors of 768284.
2, 11, 19, 919
What are the prime factors of 55498?
2, 27749
What are the prime factors of 3150637?
7, 19, 23689
List the prime factors of 1654903.
1654903
List the prime factors of 3871138.
2, 17, 41, 2777
What are the prime factors of 3089813?
89, 149, 233
What are the prime factors of 4588146?
2, 3, 41, 6217
List the prime factors of 1160869.
257, 4517
What are the prime factors of 1493478?
2, 3, 7, 439
List the prime factors of 4951831.
23, 215297
List the prime factors of 486416.
2, 7, 43, 101
What are the prime factors of 1963991?
1319, 1489
What are the prime factors of 149575?
5, 31, 193
What are the prime factors of 847740?
2, 3, 5, 71, 199
List the prime factors of 217233.
3, 24137
What are the prime factors of 1213216?
2, 31, 1223
What are the prime factors of 2236173?
3, 745391
What are the prime factors of 7105912?
2, 11, 80749
What are the prime factors of 182076?
2, 3, 15173
List the prime factors of 2198210.
2, 5, 7, 31, 1013
List the prime factors of 98569.
241, 409
List the prime factors of 340727.
19, 79, 227
List the prime factors of 11214198.
2, 3, 757, 823
What are the prime factors of 410464?
2, 101, 127
What are the prime factors of 7276370?
2, 5, 53, 13729
List the prime factors of 1247571.
3, 13, 10663
List the prime factors of 129157.
7, 18451
What are the prime factors of 77954?
2, 38977
List the prime factors of 2915643.
3, 31, 107, 293
List the prime factors of 485589.
3, 13, 12451
List the prime factors of 104478.
2, 3, 11
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the biggest value in 0.051, -10125, 1/22?
0.051
What is the third biggest value in 0.06687744, 1/3, 4?
0.06687744
What is the smallest value in 2/15, -3, 1/5, 1146434?
-3
What is the fifth biggest value in 2/9, -8, 2/7, 1.1, 9/2, 5?
2/9
What is the third biggest value in -3, 30.404, 1/4, -22, -9, 1/2?
1/4
Which is the biggest value? (a) 5 (b) -49.1 (c) -4 (d) -113.8 (e) -2/13 (f) 3
a
What is the seventh biggest value in 4, -0.05, 5, 55/94, 3, 130, 1?
-0.05
Which is the fourth smallest value? (a) -0.3 (b) 2/7 (c) 0.3 (d) -2.81103 (e) -2/3 (f) -0.4 (g) 7
a
Which is the third smallest value? (a) 2 (b) -0.2 (c) 3/10 (d) 0 (e) -423
d
What is the fourth smallest value in 23/4, 31/1489, -1/2, -0.2?
23/4
Which is the smallest value? (a) -64 (b) -0.1 (c) 5/35939
a
Which is the smallest value? (a) -44/703 (b) 22 (c) 398
a
What is the fourth smallest value in -11/4, 8428, -4, 4?
8428
Which is the smallest value? (a) -2/9 (b) -21861313.9 (c) 0.2
b
Which is the third biggest value? (a) -1 (b) 0.05 (c) 258258
a
Which is the third smallest value? (a) -0.031 (b) 3 (c) -1/3 (d) 0.5 (e) 21 (f) -16
a
What is the fourth biggest value in 0.13, 3, -5, 790, -14, -1/5?
-1/5
What is the second smallest value in -61/5, 124, -2, 0.4, 1/2, -0.3?
-2
What is the third biggest value in -1/3, 0.08, -3/188, 3/25, 1/8, -3?
0.08
What is the second biggest value in 92, -2, -3000?
-2
What is the biggest value in 1/26, -20916, -1, 2?
2
What is the smallest value in 45, -2718839, 1, -1/3?
-2718839
What is the second biggest value in 4, 15, 1, -2/9, 39.3, -1, 5/9?
15
What is the biggest value in -3, -0.4, -0.1, 1/9, -0.19, 35?
35
Which is the second biggest value? (a) 0.1 (b) 0 (c) -3 (d) -0.0495 (e) -2 (f) 4/9
a
Which is the fourth smallest value? (a) -7/3 (b) -0.2 (c) 11990 (d) -0.12
c
Which is the fourth biggest value? (a) 2 (b) 3 (c) -585 (d) 4 (e) -7 (f) 5 (g) -4
a
What is the third biggest value in -1/4, 8.1365, 0, 0.1, 43?
0.1
Which is the second biggest value? (a) 5 (b) 0.11 (c) -1 (d) 72151
a
Which is the smallest value? (a) 536 (b) 7 (c) -213
c
Which is the fifth biggest value? (a) -16 (b) 0.1 (c) -0.84 (d) -0.4 (e) 476/5 (f) -3
f
Which is the second smallest value? (a) 2 (b) 11.576 (c) 1/6 (d) 1 (e) -3
c
What is the third smallest value in 2/3, -2/3, -1/4, 45774?
2/3
What is the second biggest value in -6, 0.4088, -0.01, 1, -0.4?
0.4088
Which is the biggest value? (a) 1/4 (b) -0.3 (c) -4.3 (d) 25/14 (e) 1/12 (f) 2 (g) 0.2
f
What is the third biggest value in 3, 7768258, 4/9?
4/9
What is the fifth biggest value in -1, 1/7, -3, 12, 133, -195?
-3
What is the second smallest value in 1, -9.8, -9, 4, 0.06, 19?
-9
Which is the third biggest value? (a) 0.5 (b) -4/5 (c) -77293
c
What is the second smallest value in 2/15, -7, -0.3, -29/11, 3?
-29/11
What is the second smallest value in -15, -0.5, 0.23, -0.045, -0.3, -0.23?
-0.5
What is the third smallest value in 2/5, 5, -79013, 0.9, -1/7, 0.5?
2/5
Which is the second smallest value? (a) 1 (b) 127 (c) -6083/4
a
What is the smallest value in -5, 3, -4500435.1, -0.1?
-4500435.1
What is the biggest value in -1/4, 1/3, -0.066, 8628, 0.1?
8628
Which is the second biggest value? (a) -12 (b) 12 (c) -30175
a
Which is the fifth smallest value? (a) -25 (b) 9 (c) 3/5 (d) -0.4 (e) 0.4 (f) 0.9 (g) 0.1
c
Which is the second biggest value? (a) -1 (b) -0.4 (c) 4 (d) -1/97 (e) 1/10 (f) -2/3 (g) -0.149
e
Which is the third smallest value? (a) 5 (b) 5/2 (c) 0 (d) -6/5 (e) -1/424 (f) -1777
e
What is the fifth biggest value in 18826, -0.5, -1/4, -3, -5, -1?
-3
Which is the second smallest value? (a) 442 (b) 139 (c) -3.5 (d) -2 (e) -1/2 (f) -1/4 (g) 1
d
What is the third biggest value in 5, 1467, -2/9, 2/7, 1/11, 2, 4?
4
Which is the fifth biggest value? (a) -8/5 (b) 3 (c) -1.02 (d) 200 (e) -2/3 (f) -2
a
What is the third biggest value in 32, 1029, -10, 1?
1
What is the third smallest value in 422113, -0.06, 2?
422113
What is the third biggest value in -193/42, -6, -195, 0.4?
-6
Which is the fourth smallest value? (a) 2/4173 (b) -4 (c) 8 (d) 2/13 (e) 1
e
Which is the fifth biggest value? (a) -2984 (b) -5 (c) 3 (d) 218 (e) 1/6
a
Which is the second biggest value? (a) -6171 (b) -5 (c) -1/30
b
What is the fifth smallest value in 22, 1, -2/5, 15, 4, 92, -0.1?
15
What is the fifth biggest value in 5, -0.5, -0.2, -1, 1.62, 1/7, 0.13?
-0.2
Which is the seventh smallest value? (a) -2 (b) 2 (c) -68 (d) 3/11 (e) 3/2 (f) -5 (g) 3
g
What is the fifth biggest value in -125, 18, 5, -0.05, -2/9, 3/4?
-2/9
Which is the fourth biggest value? (a) 1/3 (b) 1/7 (c) 4 (d) 1732711
b
Which is the fourth biggest value? (a) 6 (b) -1 (c) -173 (d) -296
d
What is the sixth biggest value in -0.3, 0.3, -0.5, -3, 2973, 21?
-3
What is the fifth biggest value in -7, -5, 17, -0.1, 0, 2/7, -131.4?
-5
Which is the fifth biggest value? (a) 0.2 (b) -0.3 (c) 1/6 (d) 5 (e) -442
e
What is the fifth smallest value in 0.68, -109, -22, 5, -98?
5
What is the third biggest value in 1/4, 17159, 15, 0.67, 5, 9?
9
What is the second biggest value in -0.2, 0.08, 2.634725?
0.08
What is the fifth biggest value in 0, 232, 5, -0.3, -5, -1/13?
-0.3
Which is the fifth biggest value? (a) -0.1 (b) -6821 (c) -5 (d) 3/4 (e) 0.12
b
What is the fifth biggest value in -0.4, -2/7, -30776, 1/4, 16?
-30776
What is the second biggest value in -0.4, 287/5531, -6?
-0.4
What is the third biggest value in -0.2, 6, 1/7, -86/7, -7, 1.2?
1/7
Which is the biggest value? (a) -3 (b) -0.3 (c) 1/5 (d) 5 (e) 2/13663 (f) -0.4
d
Which is the fourth biggest value? (a) -2 (b) -1/2 (c) 0 (d) -3/124 (e) 2
b
Which is the second smallest value? (a) 0 (b) -5 (c) 2/11 (d) -12 (e) -6607 (f) -0.2
d
Which is the smallest value? (a) -2/7365 (b) -32 (c) 0.07 (d) 5 (e) 9
b
What is the second smallest value in -10, 243, 0.4, 0.029, -0.04?
-0.04
Which is the fourth biggest value? (a) -3 (b) -1.5 (c) -13 (d) -1 (e) 2/17 (f) 725 (g) 2
d
Which is the third biggest value? (a) -56 (b) -5 (c) -4 (d) 49/9 (e) 2/5 (f) 2
e
Which is the fifth smallest value? (a) 2 (b) -0.083 (c) -4 (d) 0 (e) -14 (f) -1 (g) 1/2
d
Which is the second biggest value? (a) 11 (b) -1/4 (c) -2.46 (d) 0 (e) 4
e
What is the sixth smallest value in 2/13, 2/15, 3, 32, 2/9, 0, 1?
3
What is the smallest value in 3/7, 1, -15, -0.0157, -0.115, -2, -0.2?
-15
Which is the second smallest value? (a) 0.03 (b) -80 (c) 315 (d) 5
a
Which is the fifth smallest value? (a) 10 (b) -3 (c) 0.5 (d) 0.4 (e) 0 (f) -15 (g) -1/4
d
What is the fourth smallest value in -2/5387, 0, -14, -1, 5, 0.04?
0
What is the biggest value in -0.035, 3210833, -4?
3210833
Which is the second biggest value? (a) -0.26 (b) 12 (c) -7213
a
What is the fourth biggest value in 25, 320.5, 1.8, -0.4, -1?
-0.4
Which is the fifth biggest value? (a) -2/5 (b) -4 (c) -0.1 (d) 0.1 (e) -458320
e
Which is the second biggest value? (a) 0.5 (b) 0.18 (c) -1055 (d) -23/2 (e) -1
b
What is the biggest value in -5/2, 23, -0.5, 0.4, 0.08, -7/2?
23
What is the second smallest value in -3/5, 1, -0.1, 129/11693?
-0.1
What is the biggest value in -2/3453, -35, 7?
7
Which is the second biggest value? (a) -120 (b) 65/114 (c) -7 (d) 6
b
Which is the second biggest value? (a) -26 (b) -1/8 (c) 0.1 (d) -1/22 (e) -4/7 (f) -1.5 (g) -18
d
Which is the smallest value? (a) -5 (b) 1 (c) -29 (d) 61 (e) 1/5 (f) 7 (g) -16
c
Which is the second biggest value? (a) 5 (b) -3 (c) 3/8 (d) 2 (e) -19 (f) -8528 (g) -0.5
d
Which is the second smallest value? (a) 1/3 (b) -2/13 (c) 11312 (d) -96
b
What is the second smallest value in -9, -36354.5, 2, 4?
-9
What is the fourth smallest value in 4, 10, -6/283, 0.05, 15, 1/2?
4
Which is the smallest value? (a) 1 (b) -0.07 (c) -13455 (d) 8/3
c
Which is the second smallest value? (a) 3 (b) 6034 (c) 0.34 (d) 0.4 (e) -1/4
c
What is the fourth biggest value in -21/8, 2/5, 1, 61853?
-21/8
What is the biggest value in 6, 0.2, 2, -11, 2/7, 3, -2/3?
6
What is the third smallest value in -1, 5719341, -37?
5719341
What is the fifth smallest value in 5, -6, 9, 493, -1/35, -1
|
{
"pile_set_name": "DM Mathematics"
}
|
factor of 5430 and 30.
30
Calculate the greatest common divisor of 99250 and 250.
250
Calculate the greatest common factor of 46 and 1219.
23
What is the greatest common divisor of 324 and 135?
27
Calculate the greatest common factor of 2175 and 1200.
75
Calculate the highest common divisor of 41 and 451.
41
What is the greatest common factor of 174 and 816?
6
What is the greatest common divisor of 300 and 90?
30
What is the greatest common factor of 198 and 4444?
22
Calculate the greatest common divisor of 72 and 64.
8
Calculate the greatest common factor of 2173 and 106.
53
Calculate the greatest common divisor of 16 and 8336.
16
What is the highest common divisor of 5069 and 259?
37
Calculate the highest common factor of 1 and 173.
1
What is the highest common divisor of 1156 and 12?
4
What is the greatest common divisor of 19 and 1957?
19
Calculate the highest common divisor of 22 and 374.
22
Calculate the highest common factor of 63 and 2961.
63
What is the greatest common divisor of 4910 and 40?
10
Calculate the greatest common factor of 363 and 6.
3
What is the greatest common divisor of 8 and 1032?
8
Calculate the highest common factor of 2271 and 3.
3
What is the highest common factor of 212 and 53?
53
Calculate the highest common factor of 141 and 94.
47
Calculate the greatest common factor of 217 and 62.
31
Calculate the greatest common divisor of 1067 and 1746.
97
Calculate the greatest common factor of 5712 and 68.
68
What is the highest common divisor of 36 and 372?
12
What is the highest common factor of 329 and 121072?
329
What is the highest common divisor of 371 and 265?
53
What is the highest common factor of 20340 and 360?
180
What is the greatest common divisor of 38446 and 188?
94
What is the greatest common divisor of 7 and 959?
7
What is the greatest common factor of 4152 and 24?
24
Calculate the highest common divisor of 2000 and 8.
8
What is the highest common factor of 40752 and 48?
48
What is the greatest common factor of 108 and 28?
4
Calculate the greatest common factor of 30 and 1450.
10
Calculate the highest common factor of 70 and 120.
10
Calculate the highest common divisor of 35 and 595.
35
Calculate the greatest common divisor of 140 and 56.
28
What is the greatest common divisor of 1183 and 26?
13
What is the greatest common divisor of 72 and 522?
18
Calculate the highest common divisor of 61 and 4453.
61
Calculate the highest common divisor of 1105 and 85.
85
Calculate the highest common divisor of 284 and 30956.
284
What is the greatest common factor of 198 and 54?
18
What is the greatest common divisor of 18411 and 57?
57
What is the highest common factor of 68 and 17?
17
What is the highest common divisor of 3198 and 4018?
82
Calculate the greatest common divisor of 198 and 3069.
99
Calculate the greatest common factor of 57 and 10279.
19
What is the greatest common divisor of 6 and 219?
3
What is the greatest common factor of 621 and 552?
69
What is the greatest common factor of 451 and 110?
11
Calculate the greatest common factor of 96 and 3968.
32
What is the greatest common divisor of 2068 and 44?
44
Calculate the greatest common divisor of 3201 and 679.
97
Calculate the greatest common factor of 222 and 222.
222
What is the highest common factor of 512 and 192?
64
What is the greatest common divisor of 486 and 9?
9
Calculate the greatest common factor of 56677 and 57.
19
Calculate the greatest common factor of 190 and 3135.
95
Calculate the greatest common factor of 864 and 504.
72
Calculate the greatest common divisor of 45 and 21780.
45
Calculate the highest common divisor of 8 and 972.
4
Calculate the highest common divisor of 1692 and 752.
188
What is the greatest common divisor of 127 and 2?
1
Calculate the greatest common divisor of 1520 and 95.
95
What is the greatest common factor of 145 and 2465?
145
What is the highest common divisor of 59 and 767?
59
Calculate the greatest common divisor of 110 and 1690.
10
What is the highest common divisor of 1273 and 67?
67
Calculate the highest common factor of 344 and 24.
8
Calculate the highest common factor of 104852 and 44.
44
Calculate the highest common factor of 3190 and 330.
110
What is the greatest common factor of 124 and 62?
62
Calculate the greatest common divisor of 129 and 430.
43
What is the greatest common factor of 19 and 3192?
19
Calculate the highest common divisor of 285 and 165.
15
Calculate the highest common divisor of 546 and 156.
78
What is the highest common divisor of 374 and 110?
22
Calculate the highest common divisor of 115 and 69.
23
What is the highest common divisor of 174 and 754?
58
What is the highest common factor of 82 and 8077?
41
Calculate the highest common factor of 94 and 3713.
47
What is the highest common divisor of 368 and 16?
16
Calculate the highest common factor of 234 and 4.
2
Calculate the greatest common factor of 228 and 24.
12
What is the greatest common factor of 1121 and 59?
59
What is the greatest common factor of 550 and 220?
110
Calculate the greatest common divisor of 384 and 408.
24
Calculate the greatest common factor of 203 and 58.
29
Calculate the highest common divisor of 49 and 1.
1
What is the greatest common factor of 1950 and 3?
3
Calculate the greatest common factor of 315 and 63.
63
What is the highest common factor of 160 and 12280?
40
Calculate the highest common divisor of 136 and 29308.
68
What is the greatest common factor of 16 and 4?
4
What is the greatest common factor of 3880 and 880?
40
Calculate the highest common divisor of 133 and 91.
7
Calculate the highest common divisor of 130 and 676.
26
What is the highest common factor of 152 and 12616?
152
Calculate the highest common factor of 72 and 198.
18
Calculate the greatest common factor of 14392 and 56.
56
What is the greatest common divisor of 16 and 36?
4
Calculate the highest common factor of 21 and 6.
3
Calculate the greatest common divisor of 27 and 501.
3
What is the highest common factor of 23 and 5704?
23
What is the greatest common factor of 150 and 180?
30
What is the highest common divisor of 99 and 154?
11
Calculate the greatest common factor of 3346 and 14.
14
Calculate the greatest common factor of 28 and 7.
7
Calculate the greatest common divisor of 20 and 88.
4
What is the greatest common divisor of 11310 and 975?
195
Calculate the highest common divisor of 158 and 237.
79
Calculate the greatest common factor of 1152 and 108.
36
Calculate the greatest common factor of 80 and 72.
8
What is the greatest common factor of 7602 and 42?
42
Calculate the highest common divisor of 1419 and 33.
33
Calculate the greatest common divisor of 155 and 62.
31
What is the greatest common factor of 2 and 142?
2
Calculate the greatest common divisor of 301 and 5375.
43
Calculate the highest common factor of 1 and 168.
1
Calculate the greatest common factor of 918 and 1323.
27
What is the highest common factor of 74 and 111?
37
What is the highest common factor of 2716 and 14?
14
Calculate the greatest common divisor of 732 and 24.
12
Calculate the highest common factor of 612 and 3468.
204
Calculate the highest common factor of 152 and 8.
8
Calculate the highest common factor of 242 and 913.
11
Calculate the greatest common factor of 1635 and 35.
5
Calculate the greatest common factor of 350 and 4235.
35
What is the highest common factor of 10340 and 132?
44
Calculate the greatest common factor of 225 and 275.
25
Calculate the highest common divisor of 5028 and 24.
12
Calculate the highest common factor of 14 and 126.
14
What is the greatest common factor of 22592 and 64?
64
What is the greatest common factor of 5014 and 69?
23
What is the greatest common factor of 3896 and 8?
8
Calculate the greatest common divisor of 24 and 948.
12
Calculate the highest common divisor of 1333 and 43.
43
What is the highest common factor of 14848 and 116?
116
Calculate the highest common divisor of 18380 and 20.
20
What is the greatest common factor of 273 and 39?
39
What is the greatest common divisor of 428 and 2?
2
Calculate the greatest common factor of 234 and 19539.
117
Calculate the highest common factor of 310 and 10.
10
What is the greatest common divisor of 1011 and 12469?
337
Calculate the highest common divisor of 3872 a
|
{
"pile_set_name": "DM Mathematics"
}
|
ps.
-0.005632
Round -388924.853 to the nearest one hundred.
-388900
Round 0.0000206445977 to six dps.
0.000021
Round -0.0003944786885 to 4 dps.
-0.0004
Round -0.0054137929 to four decimal places.
-0.0054
What is -0.034426038 rounded to five decimal places?
-0.03443
What is -0.000317549234 rounded to 7 decimal places?
-0.0003175
What is 23434672.6 rounded to the nearest 1000?
23435000
What is -842991.237 rounded to the nearest 1000000?
-1000000
Round 0.5580805354 to 4 decimal places.
0.5581
What is -2195987.86 rounded to the nearest 10000?
-2200000
Round -0.0380543979 to three dps.
-0.038
Round 16761982 to the nearest 1000000.
17000000
Round -16.85641087 to 3 decimal places.
-16.856
Round -0.646574818 to 4 dps.
-0.6466
Round 2236614.37 to the nearest one hundred.
2236600
Round -99.8314922 to the nearest 10.
-100
What is -0.00000096452238 rounded to 7 decimal places?
-0.000001
Round -13461193.384 to the nearest 100000.
-13500000
Round -286269.105 to the nearest 10.
-286270
What is 0.00012449318 rounded to 6 decimal places?
0.000124
Round 2471.525403 to one dp.
2471.5
Round 2384278 to the nearest ten thousand.
2380000
What is -189.0921017 rounded to the nearest ten?
-190
What is 0.000262542334 rounded to seven decimal places?
0.0002625
Round -1001.731965 to one dp.
-1001.7
Round 527976.29 to the nearest 100000.
500000
Round 3.8411246497 to one decimal place.
3.8
Round -0.000009588456811 to 6 decimal places.
-0.00001
Round -164.5014209 to two dps.
-164.5
Round -51195.6712 to the nearest 100.
-51200
Round 156450228 to the nearest ten thousand.
156450000
What is -0.000001816632074 rounded to 7 dps?
-0.0000018
Round 0.02296098431 to three dps.
0.023
Round -0.0548638005 to 2 decimal places.
-0.05
Round -0.070990769 to two dps.
-0.07
Round -0.01533867489 to 4 dps.
-0.0153
Round 0.00000268846 to seven dps.
0.0000027
What is 772879.819 rounded to the nearest ten thousand?
770000
What is 0.000002501151157 rounded to 7 dps?
0.0000025
What is -4071.758217 rounded to the nearest ten?
-4070
What is -0.100385849 rounded to 5 decimal places?
-0.10039
What is 1.53232953 rounded to 1 dp?
1.5
What is -0.1231107943 rounded to four decimal places?
-0.1231
Round 0.00000182184501 to seven dps.
0.0000018
Round 0.00024175848794 to seven decimal places.
0.0002418
Round 760863.715 to the nearest one hundred thousand.
800000
What is -0.00001191795989 rounded to six decimal places?
-0.000012
What is -0.00000677304236 rounded to six dps?
-0.000007
What is -4106.4888 rounded to the nearest 10?
-4110
Round 0.6283276067 to 2 decimal places.
0.63
What is -1986.802 rounded to the nearest one thousand?
-2000
Round 2425116.2 to the nearest 10000.
2430000
Round 2059.3624 to the nearest integer.
2059
Round 0.00084300654 to 6 dps.
0.000843
Round -0.0907687522 to 4 dps.
-0.0908
What is 0.00007292835 rounded to 6 dps?
0.000073
What is -0.0001692251246 rounded to 5 decimal places?
-0.00017
Round 100818.9058 to the nearest one thousand.
101000
What is -718194.574 rounded to the nearest ten?
-718190
Round 0.060509932 to 4 dps.
0.0605
Round 0.00060646151 to four decimal places.
0.0006
What is 111263.7598 rounded to the nearest one hundred?
111300
Round 0.2803879406 to 5 decimal places.
0.28039
What is -150906.5986 rounded to the nearest ten?
-150910
What is 563.9352878 rounded to the nearest 100?
600
Round -2882054.93 to the nearest one thousand.
-2882000
Round 17152205.2 to the nearest one hundred thousand.
17200000
What is -0.019085401946 rounded to 7 decimal places?
-0.0190854
Round 676.877523 to the nearest 10.
680
What is -0.081473261 rounded to 2 decimal places?
-0.08
What is -801.5276994 rounded to one decimal place?
-801.5
What is 20.0720961 rounded to 2 dps?
20.07
Round 0.0010119737724 to 5 decimal places.
0.00101
What is -62.4429199 rounded to one dp?
-62.4
Round 0.00806998508 to seven dps.
0.00807
What is -58784237 rounded to the nearest one million?
-59000000
Round -497625.828 to the nearest ten.
-497630
Round 488.7454 to the nearest 10.
490
Round 55127.3586 to the nearest one hundred.
55100
What is 1.87603201 rounded to 4 dps?
1.876
Round -0.000049688437 to 4 decimal places.
0
What is -0.0297431641 rounded to five decimal places?
-0.02974
Round -11925739.97 to the nearest 100000.
-11900000
Round -226.910329 to two dps.
-226.91
Round 1356.0722 to 0 dps.
1356
Round 3089.778289 to the nearest integer.
3090
Round -344501.496 to the nearest ten thousand.
-340000
Round -2.21024986 to 1 decimal place.
-2.2
What is -0.00001926216493 rounded to 7 dps?
-0.0000193
Round -1410.3752229 to the nearest 100.
-1400
Round -0.001475832566 to seven dps.
-0.0014758
Round 0.0211561347 to five dps.
0.02116
Round -0.00425484333 to 4 dps.
-0.0043
Round -0.009749815 to one dp.
0
What is -403337.922 rounded to the nearest ten thousand?
-400000
Round 149987489.9 to the nearest 1000.
149987000
Round -0.0073065492 to 3 decimal places.
-0.007
Round -769.451586 to 1 dp.
-769.5
Round 0.07102459765 to 6 decimal places.
0.071025
Round -8.91503151 to 4 dps.
-8.915
What is 1149250.74 rounded to the nearest ten thousand?
1150000
What is 1272.579903 rounded to the nearest ten?
1270
Round 34184.545 to the nearest 100.
34200
Round -3058274622 to the nearest one hundred thousand.
-3058300000
Round -78656165.3 to the nearest 10000.
-78660000
Round 0.020544368 to 1 decimal place.
0
Round 0.000191743641 to six dps.
0.000192
What is -4.39759215 rounded to four decimal places?
-4.3976
Round -51877672.46 to the nearest 1000.
-51878000
What is -87983.74555 rounded to the nearest ten thousand?
-90000
Round -61836.4137 to the nearest 1000.
-62000
What is -0.131909063 rounded to 5 dps?
-0.13191
What is -0.0000190715871 rounded to 6 decimal places?
-0.000019
What is -31.0709159 rounded to two decimal places?
-31.07
Round 1045.684795 to the nearest 100.
1000
What is 269.92181 rounded to the nearest 10?
270
What is -6.098371081 rounded to 2 decimal places?
-6.1
Round 183994363.6 to the nearest ten thousand.
183990000
What is -1.079845286 rounded to 3 decimal places?
-1.08
What is 14.99875706 rounded to two decimal places?
15
Round -0.101144153 to two decimal places.
-0.1
Round -28920431.3 to the nearest one thousand.
-28920000
What is -0.0028015846 rounded to five dps?
-0.0028
Round -283443476 to the nearest 1000000.
-283000000
What is -4630195306 rounded to the nearest one million?
-4630000000
What is 1616.943192 rounded to the nearest integer?
1617
Round -84654.808 to the nearest one thousand.
-85000
Round -2104771.75 to the nearest 10000.
-2100000
Round 0.1851835739 to 3 decimal places.
0.185
Round 0.06306287598 to 5 decimal places.
0.06306
Round -0.119091678 to 4 dps.
-0.1191
What is 9618.75181 rounded to the nearest integer?
9619
What is 689831140 rounded to the nearest 1000000?
690000000
What is -0.186817644 rounded to five dps?
-0.18682
What is -10.4074788 rounded to zero decimal places?
-10
Round 1813.57408 to 0 dps.
1814
What is 1242930004 rounded to the nearest 100000?
1242900000
What is -119330.18 rounded to the nearest 10000?
-120000
What is -83175.5568 rounded to the nearest 100?
-83200
What is -0.00006823426 rounded to 7 decimal places?
-0.0000682
Round 0.00150241795 to 6 dps.
0.001502
What is -86858.7375 rounded to the nearest one hundred?
-86900
What is 5.5209271 rounded to 2 dps?
5.52
Round -1.986295877 to zero dps.
-2
What is 0.01202521768 rounded to 3 dps?
0.012
What is -0.006877339 rounded to 6 decimal places?
-0.006877
Round 2764.3893802 to the nearest one hundred.
2800
Round 0.000015060279 to seven decimal places.
0.0000151
What is -0.0057824993 rounded to 4 decimal places?
-0.0058
What is 2873134900 rounded to the nearest 100000?
2873100000
What is 0.010624228 rounded to 6 dps?
0.010624
What is 2355837640 rounded to the nearest 1000000?
2356000000
What is 0.80810254 rounded to 2 decimal places?
0.81
What is 5770617625 rounded to the nearest 1000000?
5771000000
Round 0.0000254449866 to 5 decimal places.
0.00003
What is 0.00009242377 rounded to five decimal places?
0.00009
Round -8440.3182 to the nearest one hundred.
-8400
What is -0.006249113763 rounded to 6 decimal places?
-0.006249
What is 14.0229743 rounded to 2 decimal places?
14.02
What is 0.0404423726 rounded to 6 dps?
0.040442
What is 28291588.6 ro
|
{
"pile_set_name": "DM Mathematics"
}
|
- 23*q - 1
What is the v'th term of 104416, 104419, 104422, 104425, 104428?
3*v + 104413
What is the h'th term of -36860, -36862, -36854, -36830, -36784, -36710, -36602, -36454?
h**3 - h**2 - 6*h - 36854
What is the z'th term of 424, 3563, 12080, 28663, 56000?
448*z**3 + z**2 - 25
What is the j'th term of 6767, 6764, 6757, 6746, 6731, 6712?
-2*j**2 + 3*j + 6766
What is the o'th term of 2276, 4498, 6720, 8942?
2222*o + 54
What is the s'th term of -3089, -3119, -3149?
-30*s - 3059
What is the v'th term of 5538, 10867, 16196, 21525?
5329*v + 209
What is the d'th term of 2, -4, -18, -40, -70?
-4*d**2 + 6*d
What is the i'th term of -5385, -10781, -16205, -21669, -27185, -32765, -38421, -44165?
-2*i**3 - 2*i**2 - 5376*i - 5
What is the z'th term of -776, -1485, -2126, -2699, -3204?
34*z**2 - 811*z + 1
What is the q'th term of -1352, -11002, -37178, -88142, -172156, -297482, -472382, -705118?
-1377*q**3 - q**2 - 8*q + 34
What is the x'th term of -2373, -2458, -2543, -2628, -2713?
-85*x - 2288
What is the f'th term of -257, -377, -619, -1019, -1613, -2437?
-6*f**3 - 25*f**2 - 3*f - 223
What is the d'th term of 11618, 11564, 11512, 11462, 11414, 11368?
d**2 - 57*d + 11674
What is the b'th term of -1808, -3604, -5402, -7202, -9004, -10808?
-b**2 - 1793*b - 14
What is the x'th term of 399739, 399744, 399753, 399766, 399783, 399804?
2*x**2 - x + 399738
What is the j'th term of 7288, 14580, 21874, 29170, 36468, 43768?
j**2 + 7289*j - 2
What is the w'th term of -63880, -255515, -574914, -1022083, -1597028, -2299755, -3130270, -4088579?
-w**3 - 63876*w**2 - 3
What is the s'th term of 319, 598, 859, 1096, 1303, 1474?
-s**3 - 3*s**2 + 295*s + 28
What is the t'th term of -14001, -14006, -14009, -14010, -14009?
t**2 - 8*t - 13994
What is the v'th term of -19, 44, 387, 1202, 2681, 5016?
32*v**3 - 52*v**2 - 5*v + 6
What is the d'th term of 157, 1194, 4007, 9484, 18513?
148*d**3 + d + 8
What is the q'th term of 19869, 39760, 59647, 79530, 99409?
-2*q**2 + 19897*q - 26
What is the h'th term of -228, -459, -838, -1359, -2016, -2803?
h**3 - 80*h**2 + 2*h - 151
What is the f'th term of -305802, -611602, -917392, -1223166, -1528918, -1834642, -2140332?
f**3 - f**2 - 305804*f + 2
What is the o'th term of 167, 151, 111, 35, -89, -273, -529?
-2*o**3 - 2*o + 171
What is the g'th term of 67, -96, -259, -422, -585, -748?
-163*g + 230
What is the f'th term of -1960, -1917, -1874, -1831?
43*f - 2003
What is the o'th term of 1342, 2582, 3728, 4780, 5738?
-47*o**2 + 1381*o + 8
What is the w'th term of 1204, 2416, 3628, 4840, 6052?
1212*w - 8
What is the a'th term of 146, 186, 122, -52, -342, -754, -1294?
-a**3 - 46*a**2 + 185*a + 8
What is the j'th term of 233, 421, 609, 797, 985, 1173?
188*j + 45
What is the x'th term of -34310, -68619, -102928?
-34309*x - 1
What is the d'th term of 955, 3818, 8593, 15280, 23879, 34390, 46813?
956*d**2 - 5*d + 4
What is the l'th term of -128, -334, -622, -1004, -1492?
-2*l**3 - 29*l**2 - 105*l + 8
What is the h'th term of -30505, -61012, -91521, -122032?
-h**2 - 30504*h
What is the b'th term of -198, -1501, -5036, -11919, -23266?
-186*b**3 - b - 11
What is the y'th term of -87, 567, 1669, 3231, 5265, 7783?
2*y**3 + 212*y**2 + 4*y - 305
What is the d'th term of -177675, -177691, -177707?
-16*d - 177659
What is the l'th term of 1130, 2292, 3454?
1162*l - 32
What is the a'th term of -33, -208, -437, -714, -1033, -1388, -1773, -2182?
a**3 - 33*a**2 - 83*a + 82
What is the p'th term of -284, -715, -1146?
-431*p + 147
What is the p'th term of 862, 1712, 2562?
850*p + 12
What is the k'th term of -176443, -352880, -529317, -705754, -882191?
-176437*k - 6
What is the y'th term of -56, -240, -552, -992?
-64*y**2 + 8*y
What is the m'th term of -3015, -6689, -10375, -14079, -17807, -21565, -25359?
-m**3 - 3667*m + 653
What is the v'th term of 518, 455, 342, 173, -58, -357, -730, -1183?
-v**3 - 19*v**2 + v + 537
What is the i'th term of 15018, 15048, 15078?
30*i + 14988
What is the k'th term of -1225, -1222, -1213, -1192, -1153, -1090?
k**3 - 3*k**2 + 5*k - 1228
What is the w'th term of 28, 102, 208, 334, 468, 598, 712?
-2*w**3 + 28*w**2 + 4*w - 2
What is the g'th term of -8123, -16244, -24365, -32486, -40607, -48728?
-8121*g - 2
What is the j'th term of -57314, -57315, -57316, -57317, -57318?
-j - 57313
What is the m'th term of -858, -2286, -4286, -6858?
-286*m**2 - 570*m - 2
What is the s'th term of 1526, 1508, 1498, 1514, 1574, 1696, 1898, 2198?
3*s**3 - 14*s**2 + 3*s + 1534
What is the r'th term of 206, 197, -36, -493, -1174?
-112*r**2 + 327*r - 9
What is the j'th term of -355, -678, -955, -1168, -1299, -1330, -1243, -1020?
3*j**3 + 5*j**2 - 359*j - 4
What is the l'th term of -738, -722, -706, -690?
16*l - 754
What is the s'th term of 11, 88, 225, 452, 799, 1296, 1973, 2860?
5*s**3 + 42*s - 36
What is the s'th term of -110138, -110137, -110136?
s - 110139
What is the d'th term of -181, -757, -1333, -1909, -2485?
-576*d + 395
What is the z'th term of -52987, -52988, -52989, -52990, -52991?
-z - 52986
What is the x'th term of 77, 256, 651, 1340, 2401, 3912?
13*x**3 + 30*x**2 - 2*x + 36
What is the n'th term of -2014, -8076, -18180, -32326, -50514, -72744, -99016?
-2021*n**2 + n + 6
What is the c'th term of 10965, 21928, 32891, 43854, 54817, 65780?
10963*c + 2
What is the o'th term of -2963, -5961, -8959, -11957, -14955?
-2998*o + 35
What is the x'th term of 29027, 29033, 29041, 29051, 29063?
x**2 + 3*x + 29023
What is the s'th term of 926, 3754, 8462, 15044, 23494?
-s**3 + 946*s**2 - 3*s - 16
What is the i'th term of 64, 101, 154, 229, 332, 469, 646, 869?
i**3 + 2*i**2 + 24*i + 37
What is the a'th term of 192, 168, 88, -54, -264, -548?
-a**3 - 22*a**2 + 49*a + 166
What is the u'th term of 33, -26, -109, -210, -323?
u**3 - 18*u**2 - 12*u + 62
What is the w'th term of 459, 939, 1431, 1935, 2451, 2979?
6*w**2 + 462*w - 9
What is the v'th term of 2747, 2630, 2513, 2396?
-117*v + 2864
What is the s'th term of 90303, 180607, 270911, 361215?
90304*s - 1
What is the a'th term of -466257, -932514, -1398771, -1865028?
-466257*a
What is the a'th term of 3102378, 6204755, 9307132?
3102377*a + 1
What is the f'th term of -122, -720, -1718, -3116?
-200*f**2 + 2*f + 76
What is the z'th term of 8545, 34428, 77651, 138220, 216141, 311420, 424063?
z**3 + 8664*z**2 - 116*z - 4
What is the p'th term of 34905, 34930, 34971, 35028?
8*p**2 + p + 34896
What is the j'th term of 797, 1699, 2615, 3551, 4513?
j**3 + j**2 + 892*j - 97
What is the c'th term of -13185, -26366, -39545, -52722, -65897, -79070, -92241?
c**2 - 13184*c - 2
What is the u'th term of 2545, 2613, 2683, 2755, 2829, 2905?
u**2 + 65*u + 2479
What is the a'th term of -101694, -203388, -305082, -406776, -508470?
-101694*a
What is the x'th term of -18324, -73333, -165026, -293403, -458464, -660209, -898638?
-18342*x**2 + 17*x + 1
What is the o'th term of 869, 1732, 2595, 3458, 4321, 5184?
863*o + 6
What is the b'th term of -9401, -18484, -27567?
-9083*b - 318
What is the q'th term of 1033, 714, -145, -1814, -4563, -8662, -14381?
-45*q**3 - 4*q + 1082
What is the v'th term of -184, -1563, -5322, -12649, -24732?
-198*v**3 - 2*v**2 + 13*v + 3
What is the q'th term of 645, 1204, 1763, 2322, 2881?
559*q + 86
What is the x'th term of 548, 2018, 4412, 7730, 11972, 17138?
462*x**2 + 84*x + 2
What is the f'th term of 2303, 4692, 7083, 9476, 11871, 14268?
f**2 + 2386*f - 84
What is the j'th term of -620, -425, -224, -17?
3*j**2 + 186*j - 809
What is the f'th term of 19, -35, -87, -137, -185, -231?
f**2 - 57*f + 75
What is the d'th term of 16820, 67331, 151520, 269387, 420932?
16839*d**2 - 6*d - 13
What is the i'th term of 1975, 1875, 1785, 1711, 1659, 1635, 1645?
i**3 - i**2 - 104*i + 2079
What is the f'th term of 297, -141, -581, -1023, -1467, -1913?
-f**2 - 435*f + 733
What is the p'th term of 205428, 205395, 205334, 205239, 205104, 204923, 204690?
-p**3 - 8*p**2 - 2*p + 205439
What is the s'th term of -450, -457, -502, -603, -778, -1045, -1422, -1927?
-3*s**3 - s**2 + 17*s - 463
What is the o'th term of -43248, -43231, -43214, -43197, -43180, -43163?
17*o - 43265
What is the g'th term of 62, 46, 20, -16, -62, -118?
-5*g**2 - g + 68
What is the t'th term of 180, -600, -2770, -7026, -14064, -24580, -39270?
-116*t**3 + t**
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-3). Find the third derivative of 0*a**6 - a**2 + 0*a**6 + k*a**2 - 3*a**6 wrt a.
-360*a**3
Let x(h) = h**4 - h**3 + h**2 - h. Let t(n) = 5*n**4 - 6*n**3 + 6*n**2 - 6*n + 4. Let u(r) = t(r) - 6*x(r). What is the derivative of u(b) wrt b?
-4*b**3
Let i be (1/2)/((-2)/(-20)). Suppose i*o - 2*z = -z + 10, -z = -2*o + 4. Find the third derivative of o*k**6 + k**6 + k**2 + 2*k**2 wrt k.
360*k**3
Let f = 53 - 35. Let h be 86/f + 6/27. What is the second derivative of 5*y + 4*y**5 - 4*y - h*y**5 wrt y?
-20*y**3
Let r(j) be the first derivative of 5*j**4/12 - 3*j**2/2 + 2*j + 5. Let y(x) be the first derivative of r(x). Find the first derivative of y(z) wrt z.
10*z
Let p(m) = 27*m**3 - 7*m - 5. Let c(f) = -9*f**3 + 2*f + 2. Let t(o) = 7*c(o) + 2*p(o). What is the first derivative of t(g) wrt g?
-27*g**2
Let x(p) = p**3 + p**2 - 2*p. Let s = -3 - -1. Let r be x(s). Find the second derivative of c - c**4 + r*c + c wrt c.
-12*c**2
Let z = 0 + 2. Differentiate 3*k**2 - 3*k**2 - 7*k**z - 3 + 0*k**2 with respect to k.
-14*k
Let x(z) = 3*z**2 - 7 - 10*z - 4*z**2 + 0*z. Let l be x(-9). What is the third derivative of -3*h**l + 0*h**2 - h**6 + 3*h**6 + h**2 wrt h?
240*h**3
Let g(i) be the first derivative of -i**6/2 + 3*i**2 + 5. What is the second derivative of g(p) wrt p?
-60*p**3
Let t = 7 + -7. Let j = 0 + t. Find the third derivative of d**2 - d**6 - 2*d**6 + j*d**6 wrt d.
-360*d**3
Let k(z) = -20*z**4 + 30*z**2 - 2*z. Let v(q) = -q**2 - q. Let r(j) = k(j) - 2*v(j). Find the third derivative of r(i) wrt i.
-480*i
Let d(c) = -141*c**2 + 25*c - 13. Let h(a) = 35*a**2 - 6*a + 3. Let v(j) = 6*d(j) + 26*h(j). Find the second derivative of v(q) wrt q.
128
Let b(s) be the second derivative of s**6/6 - 5*s**3/6 + s. Find the second derivative of b(t) wrt t.
60*t**2
Let d(p) be the first derivative of -p**5/10 + p**2 - 4*p + 2. Let n(m) be the first derivative of d(m). Find the first derivative of n(a) wrt a.
-6*a**2
Let r be (-2)/3 + (-24)/(-9). Find the second derivative of -2*d - 5*d**2 + d**2 + 4*d + 2*d**r wrt d.
-4
What is the second derivative of -17*m - 6*m**5 - 8*m**5 + 25*m - 2*m**5 wrt m?
-320*m**3
Let c(j) be the second derivative of -9*j**5/20 + 13*j**3/6 + 33*j. What is the second derivative of c(g) wrt g?
-54*g
Find the third derivative of 2*z**2 + z**2 - 4*z**3 + 6*z**2 wrt z.
-24
Let l(t) = t + 6. Let h(w) = -w**3 - 4*w**2 + 4*w - 3. Let g be h(-5). Let k(r) = 1. Let q(j) = g*k(j) + l(j). Find the first derivative of q(m) wrt m.
1
Suppose 2*m = 5*m. Suppose 8 = 4*o - m*o. What is the derivative of -4*j**2 - j**o - 1 + 6*j**2 wrt j?
2*j
Differentiate 44*r**2 - 1 + 3 - 20*r**2 - 19*r**2 wrt r.
10*r
What is the third derivative of 7*y**6 - 4*y**2 + 3*y**2 + 3*y**6 wrt y?
1200*y**3
Let f(k) be the first derivative of -3*k**2 + 3*k - 4. Find the first derivative of f(n) wrt n.
-6
Let q(p) be the third derivative of -p**8/5040 - p**6/240 - p**5/60 - p**2. Let y(z) be the third derivative of q(z). Differentiate y(v) with respect to v.
-8*v
Suppose 5*a = 3 + 7. Find the third derivative of 2*h**6 + 0*h**6 + 2*h**6 + a*h**2 wrt h.
480*h**3
Let q(k) = 3*k - 3*k + 0*k**2 + 1 + k**2 - k**4. Let j(r) = 2*r**2 + 1. Let b(a) = -j(a) + 2*q(a). What is the first derivative of b(s) wrt s?
-8*s**3
Let d(o) = -34*o**4 - 5*o**3 - 5*o - 8. Let v(n) = -17*n**4 - 3*n**3 - 3*n - 4. Let w(x) = 3*d(x) - 5*v(x). Differentiate w(f) wrt f.
-68*f**3
What is the second derivative of -7*l**3 + 5*l + l - 6*l**3 + l**3 wrt l?
-72*l
What is the first derivative of 15*d**4 - 13 + 2*d + 4 - 2*d wrt d?
60*d**3
Let i(y) be the first derivative of 0*y**3 + 2/5*y**5 + y**2 - 5 + 0*y**4 + 0*y. What is the second derivative of i(v) wrt v?
24*v**2
Let n(g) be the third derivative of -1/6*g**4 + 0*g + 0 - 5/6*g**3 + 2*g**2. What is the first derivative of n(j) wrt j?
-4
Suppose 8 - 1 = 2*u + k, 0 = -4*k - 12. Find the first derivative of -u*o**3 + 2*o**4 + 5*o**3 - 3 wrt o.
8*o**3
Let c = 0 + 2. Differentiate p**3 + c - 4 + 4 wrt p.
3*p**2
Let c(i) be the third derivative of 7*i**6/60 + i**4/24 - 9*i**2. What is the second derivative of c(d) wrt d?
84*d
Let w(n) = 7*n**2 + 20*n + 5. Let r(g) = 4*g**2 + 10*g + 3. Let v(t) = 5*r(t) - 3*w(t). What is the second derivative of v(h) wrt h?
-2
Let r(k) = -63*k**3 + 7*k**2 + 22*k. Let d(t) = -31*t**3 + 4*t**2 + 11*t. Let s(w) = 7*d(w) - 4*r(w). Find the second derivative of s(u) wrt u.
210*u
Let j(f) be the second derivative of 5*f**3/6 - 11*f**2 - 11*f. Differentiate j(m) wrt m.
5
Let u(t) = -t - 3. Let h be u(-6). Find the second derivative of 3*l**3 - 6*l**h + l**3 + 2*l wrt l.
-12*l
Find the second derivative of -76*o - 26*o**4 + 40*o + 7*o**4 wrt o.
-228*o**2
Let o(k) be the third derivative of -k**7/42 + k**4/4 - 8*k**2. Find the second derivative of o(f) wrt f.
-60*f**2
Let j be -3 - (1 - -2)*-1. Find the second derivative of 6*l**5 + j*l**5 + 3*l - l**5 wrt l.
100*l**3
Let m(r) be the third derivative of -3*r**8/112 - 3*r**4/8 + r**2. What is the second derivative of m(v) wrt v?
-180*v**3
Find the first derivative of -25 - 67*t + 78 + 4*t**3 - 3*t**3 + 60*t wrt t.
3*t**2 - 7
Let a(x) = -2*x - 5. Let p be a(-5). Find the third derivative of 4*k**2 + 3*k**p - 6*k**5 - k**2 + 0*k**2 wrt k.
-180*k**2
Let o(d) be the first derivative of -d**7/35 - d**4/4 + d**2 + 5. Let g(c) be the second derivative of o(c). Find the second derivative of g(j) wrt j.
-72*j**2
Find the third derivative of 4*o**4 - 10*o**4 - 2*o**2 + o**2 wrt o.
-144*o
Suppose 2*g = -0*g + 4. Suppose -1 = g*q - 3. What is the derivative of -1 + 4*s**3 + 0*s**3 + 2 + q wrt s?
12*s**2
Let r(y) be the first derivative of 19*y**6/3 - 8*y**2 + 35. What is the second derivative of r(j) wrt j?
760*j**3
Let g(n) be the first derivative of n**10/5040 + n**6/360 - 4*n**3/3 + 1. Let v(i) be the third derivative of g(i). Find the third derivative of v(h) wrt h.
120*h**3
Let f(h) = -6*h**4 + 3*h**2 - 3*h - 5. Let g(b) = b**4 - b**2 + b. Let a(u) = f(u) + 3*g(u). What is the first derivative of a(p) wrt p?
-12*p**3
Let h(f) be the third derivative of 4*f**2 + 0*f + 1/24*f**6 + 0*f**5 + 0 - 5/6*f**3 + 0*f**4. Find the first derivative of h(d) wrt d.
15*d**2
Let k(h) be the second derivative of -7*h + 0*h**5 + 1/15*h**6 + 0*h**4 - 7/2*h**2 + 0 + 0*h**3. Differentiate k(v) with respect to v.
8*v**3
Let t(o) be the first derivative of -o**5/20 - o**4/8 - o**2 + 2. Let w(p) be the second derivative of t(p). Find the second derivative of w(m) wrt m.
-6
Let y(n) be the second derivative of 11*n**6/30 + n**3/2 + 8*n. What is the second derivative of y(w) wrt w?
132*w**2
Let k = 2 + 2. What is the derivative of 1 + 3 + k*q - 5 + 3 wrt q?
4
Find the third derivative of 2*y**2 - 6*y**5 - 4*y**5 - y**2 - 3*y**2 wrt y.
-600*y**2
Let w = 1 + 6. Find the third derivative of -3*f**2 + 0*f**2 - w*f**6 + 4*f**6 wrt f.
-360*f**3
Let z(t) be the third derivative of 0*t + 6*t**2 - 4/3*t**3 + 1/24*t**4 + 0. Differentiate z(x) wrt x.
1
Let m(k) = 21*k**3 + 25*k**2. Let b(v) = -v**3. Let i(x) = -5*b(x) - m(x). Find the third derivative of i(d) wrt d.
-96
Let r(s) = -25*s**2 + 41*s - 3. Let m(g) = -25*g**2 + 40*g - 2. Let q(j) = -3*m(j) + 2*r(j). Find the second derivative of q(o) wrt o.
50
Let g = 141 - 139. Suppose -3*f = -2*f. Find the first derivative of f*j**g + 0 - 3*j**2 - 1 wrt j.
-6*j
Let a(i) = -i + 14. Let y be a(9). Let o(m) = 2*m**3. Let p(n) = -3*n**3 + n. Let w(v) = y*o(v) + 3*p(v). Find the second derivative of w(x) wrt x.
6*x
Find the first derivative of -7*n**4 + 10*n**4 + 0*n**4 - 5 wrt n.
12*n**3
Suppose 3*u + 4*s + 46 = 6*u, 5*s + 40 = 2*u. What is the second derivative of 3*q**2 - 17*q + u*q + 12*q wrt q?
6
Let u(d) be the second derivative of -3*d**5/5 - 13*d**4/4 - 13*d. Find the third derivative of u(j) wrt j.
-72
Let w(y) be the third derivative of y**6/120 - 7*y**5/120 + y**4/8 - 4*y**2. Let z(h) be the second derivative of w(h). Differentiate z(j) with respect to j.
6
Suppose 0 = 4*k - 6 - 2. Find the first derivative of -k + 4 - 5*l + l - 1 wrt l.
-4
Let z(t) = -t**2 - t. Let d(p) = 36*p**2 + 13*p. Let h(f) = -d(f) + 5*z(f). Find the second derivative of h(a) wrt a.
-82
Suppose 0 = 4*k + 12, 0*m + k + 3 = m. What is the third derivative of 15*f**2 + m*f**2 + 3*f**6 - 2*f**6 - 8*f**2 wrt
|
{
"pile_set_name": "DM Mathematics"
}
|
form o*h**2 + d + y*h and give o.
4
Express 4*q + 5*q**4 - 3*q**4 - q + (-q**3 + 0*q**3 + 0*q**3)*(-3*q + 1 - 1) as y*q + w*q**3 + z*q**4 + u + h*q**2 and give y.
3
Rearrange (10*s - s**2 - 10*s)*(3 + 3*s - 10 + 23) to the form o*s**2 + u*s**3 + f*s + c and give u.
-3
Express -k**2 - 11*k + 38*k + 26*k - 3 in the form z*k + j*k**2 + a and give a.
-3
Rearrange -551*p + 405*p - 908*p to the form m*p + y and give m.
-1054
Express (-393*h**2 - 34*h**3 + 393*h**2)*(4*h - 5*h + 3*h + (-3*h + 4*h - 3*h)*(4 - 3 + 2)) as x + s*h**4 + y*h + w*h**3 + a*h**2 and give w.
0
Express -i**4 - 6488*i + 0*i**4 + 6468*i - i**3 as y*i + v*i**4 + w*i**3 + s*i**2 + a and give v.
-1
Rearrange (-1396 + 683 + y + 666)*(-4 + 2 + 4 - y) to f*y**2 + p*y + v and give p.
49
Express -3*g**2 - 237*g**4 + 4*g**3 - g - 1 + 0*g**3 + g**2 + 236*g**4 + g**2 in the form x*g**4 + v*g + n*g**2 + p + h*g**3 and give p.
-1
Rearrange -4126*s + 215*s**2 + 4125*s - 2*s**3 + 578*s**2 to the form l + g*s + i*s**3 + f*s**2 and give f.
793
Rearrange t**3 - 10*t + 37 + 6*t - 10 - 3*t to the form i*t**3 + j*t + q + p*t**2 and give j.
-7
Express (8 + 5 + 15)*(-1 - 8*z + 1)*(0*z - 3*z + 0*z + (-2 + 5 - 1)*(-3 + 3 - z)) as n + k*z**2 + i*z and give k.
1120
Rearrange (0 + 5 - 1)*(-61 + 61 - 10*z) + (0*z - z - z)*(-2 - 4 + 5) to j*z + c and give j.
-38
Rearrange (4*j + 2*j**2 - 4*j)*(-147*j - 159*j + 283*j + (-j - 6*j + 5*j)*(-2 - 2 + 3) + 5*j - 2*j + 0*j) to s*j**2 + d*j**3 + h + v*j and give d.
-36
Rearrange 105*s**3 + 13*s**2 + 16*s**2 - 63*s**2 + 17*s**2 + 15*s**2 to the form f*s**2 + m*s**3 + c*s + w and give w.
0
Rearrange 14 - 20*u - 14 + 55*u + 0 to o + g*u and give o.
0
Express (3*m - 2*m - 2*m)*(-7*m**3 + 0*m**3 + m**3 + 53*m**3 + 40*m**3) as v*m**4 + g + x*m**3 + z*m + q*m**2 and give z.
0
Rearrange -65*k**4 - 10*k**4 + 1 + k**2 + 73*k**4 - 8*k + 8*k**3 to the form v*k**3 + h*k**2 + o + f*k**4 + t*k and give f.
-2
Rearrange 2 + 5*z - 14*z + 8*z - z**3 + 3*z**4 to the form k*z + w*z**2 + s + x*z**3 + p*z**4 and give x.
-1
Express -5*z - 2*z**2 - 17*z - 19*z - 50*z + 13*z in the form i*z + o + k*z**2 and give i.
-78
Rearrange 2*j**3 + 37*j**2 - 9*j + 0*j**3 + 43*j**2 - 77*j**2 to n*j + d*j**3 + f*j**2 + l and give n.
-9
Rearrange (2*q + 0*q - 4*q)*(4*q - 221*q + 27*q)*(0 + 0 + 1) to the form f + c*q + v*q**2 and give v.
380
Rearrange -18*i + 9*i + 2310*i**2 + 9*i to m + r*i**2 + z*i and give r.
2310
Express -44*j - 33*j + 3 + 1 - 6 + 3*j**2 - 2*j**2 in the form x + r*j**2 + b*j and give b.
-77
Rearrange ((-i + 2*i + i)*(-1 + 5 - 3) + 0*i + 0*i - i + (-7 - 3*i + 7)*(7 - 1 - 3))*(-i + i - i) to r + c*i + f*i**2 and give f.
8
Rearrange (12 + 12 + 5)*(0*v + 0*v + v) to y*v + g and give y.
29
Express 11*q**2 - 3*q**2 - 2*q - 1 + 10 - 1 as b*q**2 + f*q + d and give d.
8
Express 4*n**2 - 16 + 1 - 14 as q*n + y*n**2 + f and give f.
-29
Express 5*c**4 - 2*c**2 + 33*c + 6*c**4 + 3 - 2 - 16*c - 14*c in the form l*c + v*c**4 + p*c**3 + n*c**2 + o and give v.
11
Rearrange -6*x**2 + 3*x**2 + 15 - 15 + 23*x to o*x + r*x**2 + s and give r.
-3
Express -a**3 + 2688*a - 3 + 2*a**3 + 2*a**3 - 2711*a as t + m*a**2 + b*a**3 + h*a and give t.
-3
Express -541*b - 189*b**2 + 433*b**2 - 242*b**2 as g + s*b**2 + j*b and give s.
2
Express 28*h**2 + h + 48*h**3 - 45*h**2 - 46*h**3 - 2*h**4 in the form f*h**3 + j*h**4 + a*h + v + q*h**2 and give v.
0
Express -27*r - 24*r - 21*r + 68*r + 47 as u*r + x and give u.
-4
Rearrange 1806*j + 983*j - 1419*j + 1790*j to the form q*j + p and give p.
0
Express 1433*s**2 - 715*s**2 - 5*s + 14*s**3 - 716*s**2 in the form p + i*s**3 + y*s**2 + d*s and give i.
14
Rearrange (2 - 3*d**2 - 1 + d**2)*(-799 - 2916 + 1245 - 2107) to the form q + o*d**2 + b*d and give q.
-4577
Express -21681*t - 2 + 21681*t - 15*t**2 - 11*t**3 as k*t + d*t**2 + f + l*t**3 and give f.
-2
Rearrange -16 + 21 - 5 - 8*t**2 - 2*t to the form m + k*t + i*t**2 and give k.
-2
Rearrange -5 + 3 - 75*y**3 + 14358*y**2 - 14356*y**2 to the form o + g*y + h*y**2 + x*y**3 and give x.
-75
Rearrange (-11*n - 9*n + 16*n)*(1 - 7 + 4)*(-10*n - 16*n + 29*n) to d*n + m + q*n**2 and give q.
24
Express -138*u**4 - 1 - 2*u**3 + 311*u**4 - 147*u**4 - 4 as s*u**4 + t + l*u + g*u**2 + k*u**3 and give s.
26
Express -36 + 2*v - 4*v + 3*v - 171 - 79 as p + g*v and give p.
-286
Rearrange 3*c**4 + c**4 - 5*c**4 + (2 - 1 + 1)*(-4 - 13*c**4 + 8*c**4 - 31*c + 6*c**4) to the form p*c**4 + u + l*c**3 + s*c**2 + f*c and give u.
-8
Express 664*t + 4 - 2 + 4*t**4 - 3*t**3 - 664*t in the form w*t**3 + v*t**2 + k*t**4 + g*t + h and give w.
-3
Express (597 + 103*x - 597)*(-10*x + 2*x - x) + x**2 + 0*x + 0*x in the form q*x + b*x**2 + u and give b.
-926
Express (-4 + 4 + 1)*(-16*v**2 - 20*v**2 - 8*v**2) + (3*v - v - 3*v)*((4 - 1 - 2)*(-v + v - 2*v) + 3*v + 5*v - 4*v) in the form x*v**2 + p + i*v and give i.
0
Express -1 + 26474*r**3 + 1 - 26476*r**3 - 19*r**2 - r in the form t + x*r**3 + i*r + z*r**2 and give z.
-19
Express (14 - 14 + 17)*(6*c + 2*c - 3*c)*(c + 2 - 2) in the form j*c + d*c**2 + x and give d.
85
Rearrange 13*w - 15*w - 4 + 2 to g*w + m and give g.
-2
Express 92*a - 77*a + 222*a + 114*a in the form d*a + h and give d.
351
Express -89*t - 393 + 393 + 2 - 2 - 2*t + (0 - 1 + 2)*(0*t + 0*t + 2*t) + 4 - 4 - t + (-3 + 5 - 3)*(2*t - 2*t - t) as y*t + k and give y.
-89
Rearrange -40*g**2 - 53*g**2 - 7*g**2 to the form v*g**2 + x + m*g and give x.
0
Express -680 + 1377 + 11*m - 672 as f + h*m and give f.
25
Express -6*c**4 - 4*c**2 + 4*c**2 + (0*c**3 - 8*c**3 + 2*c**3)*(-c - c + 3*c) as o + d*c**3 + s*c**2 + v*c**4 + r*c and give o.
0
Express 11*x + 8*x**2 + 10*x**2 + 8*x**2 - 12*x in the form i + p*x**2 + q*x and give q.
-1
Express -5*j + 31 + 3*j**2 + 0*j + 3*j + j + 0*j**2 in the form f + t*j**2 + u*j and give u.
-1
Express (-2 + 3*g + 0*g - 2*g + g + 3*g - 6*g + (0 + 3 - 5)*(-2*g + 1 - 1))*(-16*g**2 + 28*g**2 - 22*g**2) in the form u*g**3 + k + j*g + v*g**2 and give u.
-30
Express 72*a**2 - 2 - 5*a**3 + 8*a + 1 - 72*a**2 in the form c*a**3 + b*a + q + l*a**2 and give b.
8
Rearrange -2383*m**2 - 2384*m**2 + 4768*m**2 + 38*m to the form a*m + p + u*m**2 and give a.
38
Rearrange (-34*j + 38*j - 45*j)*(2 + 0 - 4) to the form a + m*j and give a.
0
Express -318 + 301 - w - w in the form u*w + p and give p.
-17
Rearrange 2*k**2 + 2*k**3 - 5573*k - 32 + 5573*k to t + r*k**2 + a*k + y*k**3 and give t.
-32
Rearrange ((-4 + 2 + 3)*(q + 2*q - 4*q) - 166*q + 362*q - 170*q)*(0 + 0 - q) to w*q**2 + n*q + k and give w.
-25
Rearrange -71*z**2 + 141 + 38*z**2 - z - 141 - 280*z**2 to the form s*z + f + w*z**2 and give s.
-1
Rearrange 4 - 7 + 1 + 8 - 77*m to p*m + l and give l.
6
Express -36*g**2 + 19*g**2 - 254*g**2 in the form o + j*g + k*g**2 and give k.
-271
Express -2*a - 2 + 2*a + 9*a**3 - 9*a**2 + 10*a**2 + 0*a as m*a**3 + t*a**2 + l + f*a and give l.
-2
Rearrange (-7*z + 0*z - 3*z)*(2*z**3 - 3*z**3 - 3*z**3) + 0*z**4 - 2*z**4 + z**4 to d*z**2 + l*z**3 + c*z + o + j*z**4 and give j.
39
Express -2*x - 32*x**4 - 31*x**4 + x**3 + 56*x**4 as c*x**4 + r*x + h*x**3 + i*x**2 + d and give r.
-2
Express -1651*d - 45*d**3 + 1651*d + (-4 - d + 4)*(-2*d**2 + 2*d**2 - 2*d**2) as n*d + w*d**3 + f + i*d**2 and give w.
-43
Express 2*h**3 - 12*h**2 - 2*h**4 + 62*h**2 + 13*h**4 - 9*h**4 as k*h**3 + p*h + f*h**4 + u*h**2 + y and give f.
2
Express -2*w**4 - 2*w**3 - 44*w + 46*w - 6*w**2 + 14*w**2 + 45*w**2 as g*w**4 + v*w**2 + q*w**3 + m*w + t and give q.
-2
Rearrange (1 - 2 + 3)*(5 - 5 + x) - 11*x - 55*x - 165*x - 64*x to k + g*x and give g.
-293
Rearrange -2 + 203*g + 30*g + 467*g + 2 to u*g + o and give u.
700
Express ((1 - 2 + 3)*(-2 - 2 + 2) + (2 + 1 - 5)*(7 - 3 - 3))*(d + 4*d - 8*d)*(-3 + 4 + 2) in the form s*d + t and give s.
54
Rearrange -9 + 0*u + 3*u**3 + u - u**3 - 5*u**3 to x*u**3 + q + w*u**2 + g*u and give q.
-9
Express -3397*w**3 - 11 - 2*w**2 + 3388*w**3 + 13 in the form g*w + t*w**3 + p*w**2 + l and give g.
0
Express 1635 + 1644 - 3278 - 1491*r in the form t*r + b and give t.
-1491
Rearrange (1 - 6*y - 3 + 0)*(-3 + 74 + 58)*(-5*y + 0*y + 4*y) to b*y**2 + h*y + c and give h.
258
Rearrange -12 + 14 + 5*u**4 - 77*u - 6*u**2 + 79*u to b*u**2 + o + d*u**4 + f*u + i*u**3 and give o.
2
Rearrange (-3 + 2 + 0)*(2475*c - 885*c - 1103*c)*(2*c - 2*c - c) to the form
|
{
"pile_set_name": "DM Mathematics"
}
|
p**3.
-4*p**3*(p + 3)/3
Factor -f**2/4 + 59*f/2 + 320.
-(f - 128)*(f + 10)/4
What is c in 4*c**3 + 408*c**2 + 1584*c + 1568 = 0?
-98, -2
Find q such that -4*q**2 - 20*q - 16 = 0.
-4, -1
What is l in 35*l**5 - 150*l**4 + 5*l**3 + 150*l**2 - 40*l = 0?
-1, 0, 2/7, 1, 4
What is k in 2*k**5 + 28*k**4/3 + 28*k**3/3 - 16*k**2/3 - 34*k/3 - 4 = 0?
-3, -1, -2/3, 1
Factor 2*w**4/7 - 4*w**3/7 - 6*w**2/7.
2*w**2*(w - 3)*(w + 1)/7
Determine t so that -3*t**5 - 21*t**4 + 18*t**3 + 204*t**2 - 120*t - 288 = 0.
-6, -4, -1, 2
Factor r**2/3 - 2425*r/3 + 808.
(r - 2424)*(r - 1)/3
Factor 4*s**5 - 76*s**4 - 656*s**3 + 20160*s**2 - 89856*s - 110592.
4*(s - 12)**3*(s + 1)*(s + 16)
Find q such that 3*q**5/5 - 12*q**4/5 - 12*q**3/5 + 48*q**2/5 = 0.
-2, 0, 2, 4
Factor 4*c**3 + 16*c**2 + 4*c - 24.
4*(c - 1)*(c + 2)*(c + 3)
Determine t, given that -t**5/7 + 263*t**4/7 - 1299*t**3/7 + 2329*t**2/7 - 1808*t/7 + 516/7 = 0.
1, 2, 258
Factor -2*t**3 + 188*t**2 - 186*t.
-2*t*(t - 93)*(t - 1)
Factor -3*l**3 + 9*l**2 + 3*l - 9.
-3*(l - 3)*(l - 1)*(l + 1)
Factor 5*q**3 - 10560*q**2 - 5*q + 10560.
5*(q - 2112)*(q - 1)*(q + 1)
Solve -4*h**2 - 36*h + 144 = 0 for h.
-12, 3
Determine b, given that -4*b**5/7 + 8*b**4/7 - 8*b**2/7 + 4*b/7 = 0.
-1, 0, 1
Solve 5*p**4 + 245*p**3 + 215*p**2 - 1185*p + 720 = 0.
-48, -3, 1
Factor -2*j**5/15 + 2*j**4/5 - 2*j**3/5 + 2*j**2/15.
-2*j**2*(j - 1)**3/15
Find a such that -3*a**3 + 2079*a**2 + 4167*a + 2085 = 0.
-1, 695
What is c in -c**4 + 103*c**3/6 + 331*c**2/6 + 91*c/3 - 20/3 = 0?
-2, -1, 1/6, 20
Determine u, given that -u**2/4 - 7*u/4 - 3/2 = 0.
-6, -1
Determine s so that 3*s**3/7 - 15*s**2/7 - 6*s = 0.
-2, 0, 7
Factor -2*a**3/11 - 96*a**2/11 + 200*a/11.
-2*a*(a - 2)*(a + 50)/11
Solve 2*i**5/5 + 199*i**4/5 + 59*i**3 + 98*i**2/5 = 0.
-98, -1, -1/2, 0
Factor -b**3/7 - 4*b**2/7 + 3*b/7 + 18/7.
-(b - 2)*(b + 3)**2/7
Determine l so that 2*l**5/3 + 20*l**4/3 + 16*l**3/3 - 128*l**2/3 = 0.
-8, -4, 0, 2
Factor 5*s**3 + 45*s**2 - 20*s - 180.
5*(s - 2)*(s + 2)*(s + 9)
Let -8*t**5 - 28*t**4 + 40*t**3 + 100*t**2 + 8*t - 32 = 0. What is t?
-4, -1, 1/2, 2
Find s, given that s**5/4 - 11*s**4/2 + 3*s**3/2 + 297*s**2 + 4185*s/4 + 2025/2 = 0.
-3, -2, 15
Determine g, given that 2*g**5/13 - 6*g**4/13 - 10*g**3/13 + 30*g**2/13 + 8*g/13 - 24/13 = 0.
-2, -1, 1, 2, 3
Suppose 2*n**2/11 + 318*n/11 = 0. Calculate n.
-159, 0
Let -2*b**3 + 10*b**2 + 2*b - 10 = 0. Calculate b.
-1, 1, 5
Factor -n**4/7 - 29*n**3/7 + 4*n**2/7 + 116*n/7.
-n*(n - 2)*(n + 2)*(n + 29)/7
Factor -15*b**3 - 130*b**2 + 175*b + 290.
-5*(b - 2)*(b + 1)*(3*b + 29)
Let -3*c**5/4 + 750*c**4 + 1503*c**3 + 3*c**2/2 - 6009*c/4 - 1503/2 = 0. What is c?
-1, 1, 1002
Factor -2*b**3/5 + 8*b**2/5 + 2*b/5 - 8/5.
-2*(b - 4)*(b - 1)*(b + 1)/5
Let 3*j**2 + 63*j - 138 = 0. What is j?
-23, 2
Factor -2*p**3/13 + 1792*p**2/13 - 403194*p/13 + 799236/13.
-2*(p - 447)**2*(p - 2)/13
Suppose 7*d**5 + 2088*d**4 + 162135*d**3 + 959822*d**2 + 1603956*d + 383688 = 0. What is d?
-146, -3, -2/7
Factor 49*f**4/2 - 105*f**3 - 27*f**2/2 + 270*f + 162.
(f - 3)**2*(7*f + 6)**2/2
What is m in -m**5/2 - 4*m**4 + 5*m**3/2 + 20*m**2 - 2*m - 16 = 0?
-8, -2, -1, 1, 2
What is u in 2*u**5/3 + 206*u**4/3 - 2*u**3/3 - 206*u**2/3 = 0?
-103, -1, 0, 1
Factor n**3 + 4881*n**2 - 9765*n + 4883.
(n - 1)**2*(n + 4883)
What is z in 2*z**4/3 + 77*z**3 + 1636*z**2/3 + 572*z - 432 = 0?
-108, -6, -2, 1/2
Factor -4*c**4 - 204*c**3 + 684*c**2 + 1964*c + 1080.
-4*(c - 5)*(c + 1)**2*(c + 54)
Suppose 12*g**5 + 231*g**4 + 477*g**3 + 309*g**2 + 51*g = 0. What is g?
-17, -1, -1/4, 0
Factor m**5/2 + 3*m**4 + 4*m**3.
m**3*(m + 2)*(m + 4)/2
Suppose -3*v**5 + 24*v**4 - 18*v**3 - 120*v**2 - 75*v = 0. What is v?
-1, 0, 5
Factor -p**3/9 - 2*p**2/9 + 35*p/9.
-p*(p - 5)*(p + 7)/9
Suppose -3*v**3/2 + 420*v**2 - 30222*v + 114264 = 0. What is v?
4, 138
What is z in z**3 - 3*z**2 - 9*z + 27 = 0?
-3, 3
Factor 2*r**4 - 24*r**3 - 158*r**2 - 204*r.
2*r*(r - 17)*(r + 2)*(r + 3)
Factor 3*u**4 + 132*u**3 - 273*u**2 + 138*u.
3*u*(u - 1)**2*(u + 46)
Let 2*n**3/9 - 2*n**2/3 = 0. Calculate n.
0, 3
Determine u, given that 5*u**4 - 180*u**3 + 1620*u**2 = 0.
0, 18
Determine t so that 4*t**2 - 1604*t - 3224 = 0.
-2, 403
Factor 2*d**3/5 + 242*d**2/5 + 712*d/5 + 472/5.
2*(d + 1)*(d + 2)*(d + 118)/5
Determine m, given that -47*m**2 + 114*m - 40 = 0.
20/47, 2
Factor -2*o**3 + 16*o**2 + 62*o + 44.
-2*(o - 11)*(o + 1)*(o + 2)
Let -t**5 + 159*t**4 + 1677*t**3 + 2257*t**2 - 10176*t + 6084 = 0. Calculate t.
-6, 1, 169
Find v, given that 16*v**5 + 28*v**4 - 152*v**3 + 4*v**2 + 136*v - 32 = 0.
-4, -1, 1/4, 1, 2
Factor -2*y**3/9 - 4*y**2/9 + 16*y/9.
-2*y*(y - 2)*(y + 4)/9
Suppose 3*f**3/7 - 18*f**2/7 + 15*f/7 + 36/7 = 0. What is f?
-1, 3, 4
Find c such that -c**3 + 3*c**2 + 28*c - 60 = 0.
-5, 2, 6
Solve -2*o**3/7 + 468*o**2/7 + 942*o/7 + 472/7 = 0 for o.
-1, 236
Suppose 20*c**5/7 + 96*c**4/7 - 520*c**3/7 - 2400*c**2/7 + 500*c/7 = 0. Calculate c.
-5, 0, 1/5, 5
What is s in -2*s**4/9 + 8*s**3/9 + 74*s**2/9 + 136*s/9 + 8 = 0?
-2, -1, 9
Determine v so that 2*v**2 - 912*v + 103968 = 0.
228
Find r, given that -2*r**5/3 + 16*r**4 - 40*r**3/3 - 140*r**2/3 + 14*r + 92/3 = 0.
-1, 1, 2, 23
Determine g, given that -4*g**2 + 4880*g - 1488400 = 0.
610
Find b, given that b**3/4 - 191*b**2/4 + 188*b - 187 = 0.
2, 187
Solve 3*t**2 - 174*t + 2475 = 0.
25, 33
Factor -2*s**4/9 + 14*s**3/3 - 160*s**2/9.
-2*s**2*(s - 16)*(s - 5)/9
Factor 65*q**3 - 115*q**2 - 310*q + 360.
5*(q - 1)*(q + 2)*(13*q - 36)
Factor 2*j**3/7 + 44*j**2/7 - 94*j/7 + 48/7.
2*(j - 1)**2*(j + 24)/7
Factor 3*t**2/8 - 519*t/8 - 261/4.
3*(t - 174)*(t + 1)/8
Determine q, given that -q**3/9 + 173*q**2/9 - 671*q/9 - 845/9 = 0.
-1, 5, 169
Factor 15*z**3 + 80*z**2 + 60*z - 80.
5*(z + 2)*(z + 4)*(3*z - 2)
Suppose -3*b**2/2 + 393*b - 783/2 = 0. Calculate b.
1, 261
Factor -c**3/4 + 241*c**2/4 + 365*c/2 + 122.
-(c - 244)*(c + 1)*(c + 2)/4
Factor 4*f**2 + 11760*f + 8643600.
4*(f + 1470)**2
Factor -h**3/3 + 16*h**2/3 - 64*h/3.
-h*(h - 8)**2/3
Find q, given that 3*q**4/2 - 3*q**3/2 - 3*q**2 = 0.
-1, 0, 2
Factor 2*g**4/5 - 192*g**3/5 + 516*g**2 - 2480*g + 4050.
2*(g - 81)*(g - 5)**3/5
Determine c, given that -16*c**3/7 + 12*c**2/7 + 100*c/7 + 24/7 = 0.
-2, -1/4, 3
Find l, given that l**2 - 214*l + 633 = 0.
3, 211
Factor -2*c**2/5 - 558*c/5 - 1108/5.
-2*(c + 2)*(c + 277)/5
Factor -l**3/6 + 13*l**2 + 53*l/2 + 40/3.
-(l - 80)*(l + 1)**2/6
Factor 4*t**3 + 28*t**2 - 224*t + 192.
4*(t - 4)*(t - 1)*(t + 12)
Solve 3*n**5 + 6*n**4 - 81*n**3 - 168*n**2 + 240*n = 0 for n.
-4, 0, 1, 5
Solve 2*c**2/11 + 12*c/11 + 10/11 = 0.
-5, -1
Factor -3*t**2/4 - 57*t/4 - 27/2.
-3*(t + 1)*(t + 18)/4
Factor -6*d**3/7 - 78*d**2/7 - 180*d/7.
-6*d*(d + 3)*(d + 10)/7
Factor 164*d**2 + 8*d.
4*d*(41*d + 2)
Factor 3*d**4 + 30*d**3 + 72*d**2 + 66*d + 21.
3*(d + 1)**3*(d + 7)
Find i, given that 3*i**3 + 665*i**2/2 - 904*i + 454 = 0.
-227/2, 2/3, 2
Factor -4*a**2 + 3960*a + 7936.
-4*(a - 992)*(a + 2)
Determine z so that -2*z**2 + 56*z - 392 = 0.
14
Factor -2*a**2/13 + 24*a/13 + 2.
-2*(a - 13)*(a + 1)/13
Suppose o**2/5 + 14*o/5 - 3 = 0. What is o?
-15, 1
Find h, given that h**3/2 + 19*h**2/2 - 25*h/2 - 475/2 = 0.
-19, -5, 5
Factor 2*i**4/9 + 4*i**3/9 - 14*i**2/9 + 8*i/9.
2*i*(i - 1)**2*(i + 4)/9
Determine i, given that i**5/5 + 3*i**4/5 - 38*i**3/5 - 192*i**2/5 - 224*i/5 = 0.
-4, -2, 0, 7
Factor -3*q**3 + 63*q**2 - 117*q + 57.
-3*(q - 19)*(q - 1)**2
Let 2*l**4/3 + 20*l**3/3 - 2*l**2/3 - 20*l/3 = 0. What is l?
-10, -1, 0, 1
Find i, given that i**2/3 + 310*i + 72075 = 0.
-465
Solve 2*g**3/5 - 30*g**2 - 464*g/5 - 312/5 = 0.
-2, -1, 78
Suppose 3*z**2 - 8670*z + 6264075 = 0. What is z?
1445
Solve 5*v**5 - 35*v**4 + 70*v**3 - 40*v**2 = 0.
0, 1, 2, 4
Find o such that -4*o**2 + 496*o - 3276 = 0.
7, 117
Determine u so that 4*u**5 + 16*u**4 - 36*u**3 - 256*u**2 - 400*u - 192 = 0.
-3, -2, -1, 4
Let -15*q**4/4 + 6*q**3 - 3*q**2/4 - 3*q/2 = 0. Calculate q.
-2/5, 0, 1
Factor 4*c**2 - 6064*c + 2298256.
4*(c - 758)**2
Solve -u**4/6 - 15*u**3 - 44*u**2/3 + 15*u + 89/6 = 0 for u.
-89, -1, 1
Solve -2*a**3 - 10*a**2 - 14*a - 6 = 0 for a.
-3, -1
Solve -4*d**3 - 68*d**2 + 164*d + 228 = 0.
-19, -1, 3
Factor -4*j**2/3 - 112*j + 340/3.
-4*(j - 1)*(j + 85)/3
Determine r so that 4*r**3 + 240*r**2 - 244*r = 0.
-61, 0, 1
Factor -3*g**3 + 60*g*
|
{
"pile_set_name": "DM Mathematics"
}
|
?
-320*h**3
Let f(g) be the first derivative of 3*g**5 - g**3/3 + 1. What is the third derivative of f(l) wrt l?
360*l
Differentiate -3 - 4*j**3 + 3*j - 3*j + 0*j wrt j.
-12*j**2
Let t be (0 - 0) + -2 - -4. Let f(d) be the first derivative of -1/2*d**2 - t + 2/3*d**3 + 0*d. What is the second derivative of f(o) wrt o?
4
Let x(s) = 5*s**2 + 6*s + 5. Let g be (10/(-4))/((-9)/(-18)). Let t(b) = -b**2 - b - 1. Let q(u) = g*x(u) - 30*t(u). What is the first derivative of q(f) wrt f?
10*f
Find the third derivative of 5*n - 6*n**5 + 6*n**2 + 2*n**2 - 5*n wrt n.
-360*n**2
Let o(i) = i**3 + 6*i**2 - 6*i + 9. Let n = 17 - 24. Let s be o(n). Find the third derivative of -3*u**s - u**3 + u**2 + 0*u**3 wrt u.
-6
Suppose -2*b + 3 = -1. Find the third derivative of 16 + z**b - 16 + 3*z**4 wrt z.
72*z
Let o(k) = -6*k**3 - 3*k**2 - 7*k - 7. Let f(l) = -3*l**3 - 2*l**2 - 4*l - 4. Let h(y) = -7*f(y) + 4*o(y). What is the third derivative of h(v) wrt v?
-18
Let y(v) be the second derivative of -4*v**6/15 - 2*v**3 - 11*v. Find the second derivative of y(i) wrt i.
-96*i**2
Let d(q) be the second derivative of q**7/105 + q**3/3 - 3*q**2/2 + 3*q. Let w(n) be the first derivative of d(n). Differentiate w(b) wrt b.
8*b**3
Let w(s) be the first derivative of -23*s**7/7 + 7*s**3/3 + 29. Find the third derivative of w(i) wrt i.
-2760*i**3
Let b(q) be the second derivative of q**4/6 - 3*q**3/2 - 7*q. Let p(g) = -g**2 + g. Let t(c) = b(c) + 5*p(c). Find the second derivative of t(s) wrt s.
-6
Let b(k) be the first derivative of 5*k**6/6 + 10*k**3/3 - 7. Find the third derivative of b(v) wrt v.
300*v**2
Let k(g) be the second derivative of g**5/20 - g**4/6 + 3*g. Let q(t) = -t**3 + 2*t**2. Let n(r) = -5*k(r) - 4*q(r). Find the third derivative of n(p) wrt p.
-6
Let s be -4*3*(-1)/2. What is the third derivative of s*v**2 - 5*v**6 - 2*v**4 + 0*v**6 + 2*v**4 wrt v?
-600*v**3
Let c(l) be the third derivative of -11*l**6/120 - 47*l**5/60 - l**2 - 18*l. What is the third derivative of c(u) wrt u?
-66
What is the second derivative of -31*a + 14*a + 9*a**5 + 0 + 0 wrt a?
180*a**3
Let q(g) = -8*g**2 + 4*g - 6. Let p(b) = -7*b**2 + 4*b - 5. Let z(w) = 6*p(w) - 5*q(w). Find the second derivative of z(c) wrt c.
-4
Let a(r) be the third derivative of r**6/60 + r**5/60 + 7*r**2. What is the third derivative of a(j) wrt j?
12
Suppose 3*x + 0 = -6. Let r be x + -10*2/(-4). Differentiate -2 - r - 4*t + 0 with respect to t.
-4
Let v = -4 - -7. Let u(o) be the second derivative of 0*o**5 - 3*o + 0 + 0*o**4 + 0*o**2 + 1/15*o**6 - 1/3*o**v. Find the second derivative of u(g) wrt g.
24*g**2
Suppose 0 = 5*q + 19 + 11. Let s be (-10)/(-4) - (-3)/q. Differentiate -2*v**2 - s + 2*v**2 - 2*v**4 with respect to v.
-8*v**3
Let z be ((-54)/(-24))/((-1)/(-4)). Let r = z + -7. Differentiate 1 + 0 + 2*o**3 - r*o**3 + o**3 wrt o.
3*o**2
Let f(j) be the second derivative of -j**6/24 + 5*j**4/24 + 2*j**2 - 4*j. Let w(o) be the first derivative of f(o). What is the second derivative of w(g) wrt g?
-30*g
Let x(m) = m**3 - 2*m**2 + 2*m - 1. Let d be x(1). Suppose t = -3*a + 1 - 3, d = -5*t - 2*a + 16. Find the first derivative of -4*c**t - 3 + 6 + 3*c**4 wrt c.
-4*c**3
Suppose 3*x - 2*p - 4 = 2, -4*x + 8 = -p. Suppose -5*q - h + 14 = 2, -4*h = -5*q + x. Find the first derivative of -1 + 5*o**3 - q*o**3 - o**3 wrt o.
6*o**2
Let v(b) = -b**2 + 12*b - 8. Let y be v(11). Find the second derivative of -r - 37*r**3 + 41*r**y + 2*r wrt r.
24*r
Differentiate 30 - 22 - 18*s - 34 wrt s.
-18
Let p(y) be the third derivative of 53*y**6/120 - 17*y**5/20 + 6*y**2. Find the third derivative of p(b) wrt b.
318
Let n(a) = -a**2 - 2*a + 1. Let p(y) = -16*y**2 + 4. Let d(c) = -6*n(c) + 2*p(c). What is the second derivative of d(j) wrt j?
-52
Let u(h) be the third derivative of 0*h + 0 + 2*h**2 + 7/24*h**4 + 5/6*h**3. What is the first derivative of u(q) wrt q?
7
What is the derivative of -10*b**3 - b**3 + 10 - 7 + 0 wrt b?
-33*b**2
Let k(s) be the second derivative of 0 + 0*s**2 + 1/4*s**4 + 4*s - 5/6*s**3. What is the second derivative of k(g) wrt g?
6
What is the second derivative of -65*o + 27*o + 31*o - 13*o**4 wrt o?
-156*o**2
Let q(a) = 1 - a - 5 - 2. Let p be q(-8). What is the third derivative of 0*b**4 - 3*b**4 - 2*b**p - 3*b**2 + 2*b**2 wrt b?
-72*b
Let x(h) be the second derivative of 3*h**5/20 - 6*h**2 - 25*h. Find the first derivative of x(z) wrt z.
9*z**2
Find the third derivative of 10*b**4 + 2*b + 30*b**4 - b**2 - 5*b**4 wrt b.
840*b
Suppose -3*v + 1 = f, 0*v = -v. What is the second derivative of -1 - 6*o**3 + f + 8*o - 6*o wrt o?
-36*o
Suppose 3*m + 58 = 10. Let v be 2/(-7) + m/(-7). What is the third derivative of 3*i**2 - 2*i**2 + i**v - i**5 wrt i?
-60*i**2
Let w be 24/14 + 8/28. Let y be 0*(w + -5)/(-3). What is the second derivative of r**2 - 2*r - r + y*r wrt r?
2
Let c(n) be the first derivative of -13*n**2 + 23*n - 22. Find the first derivative of c(j) wrt j.
-26
Differentiate -6 + 23*p**3 - 35*p**4 - 24*p**3 - 3 with respect to p.
-140*p**3 - 3*p**2
Let m(b) be the third derivative of -b**8/168 + b**5/60 + 2*b**2. What is the third derivative of m(r) wrt r?
-120*r**2
What is the third derivative of 31 + 4*s**2 - 31 + 8*s**4 wrt s?
192*s
Differentiate -3*d - 6 - d - 3 - d with respect to d.
-5
Find the third derivative of -10*q**2 + q**3 - 12*q - 2*q**3 + 12*q wrt q.
-6
Let v(s) = s**2 - 12*s + 12. Let z be v(11). Let j = 1 + z. Find the third derivative of -28*n**3 + n**4 + n**j + 28*n**3 wrt n.
24*n
Let y(r) be the first derivative of 12*r**5/5 - 23*r - 11. What is the first derivative of y(l) wrt l?
48*l**3
Let j(v) be the second derivative of -v**5/5 - v**4/6 - 19*v. What is the third derivative of j(g) wrt g?
-24
Let t(s) = -16*s + 6. Suppose -2*h = 2*h + 12. Let v(x) = 5*x - 2. Suppose 19 = -5*w - 31. Let y(b) = h*t(b) + w*v(b). Differentiate y(f) wrt f.
-2
Let d(u) be the third derivative of 5*u**8/84 + u**5/6 + 9*u**2. What is the third derivative of d(y) wrt y?
1200*y**2
Let c(i) = -i**2 - 4. Let h(a) be the first derivative of 0*a**2 - 2/3*a**3 - 9*a + 1. Let p(m) = -5*c(m) + 2*h(m). Differentiate p(w) wrt w.
2*w
Let t(a) be the first derivative of a**2 + 0*a**4 + 0*a**5 + 0*a + 0*a**3 - 2 - 1/3*a**6. What is the second derivative of t(j) wrt j?
-40*j**3
Find the second derivative of -14*u + 19*u + 16*u**2 + u**2 wrt u.
34
Suppose -2*u = -u - 4. Let a = 8 - u. Find the third derivative of o**2 - 3*o**4 + 2*o**a - 2*o**2 wrt o.
-24*o
Let v(g) = 16*g**3 + 7. Let w(b) = 16*b**3 + 8. Let u(r) = 5*v(r) - 6*w(r). Differentiate u(j) wrt j.
-48*j**2
Let o = 22 + 11. Differentiate 0*d**4 + 3*d**4 - 5 + 33*d**3 - o*d**3 wrt d.
12*d**3
Let b(g) be the third derivative of 7*g**6/120 - 11*g**5/60 - 8*g**2. Find the third derivative of b(m) wrt m.
42
Suppose -2*f + 2 = 0, 3*c - 2*f = f + 15. Find the second derivative of -5*x - c*x**3 - 2*x**3 + 0*x**3 wrt x.
-48*x
Let j(g) be the second derivative of g**5/5 - g**2 - 7*g. Differentiate j(l) wrt l.
12*l**2
Let a(d) be the third derivative of 25*d**4/24 + 37*d**3/6 - 45*d**2. Differentiate a(s) wrt s.
25
Let a = -4 + 6. Suppose -p + 8 = 3*p, 0 = 2*d + a*p - 14. Find the second derivative of -3*u + 2*u**4 - u**4 + d*u wrt u.
12*u**2
Let c(d) be the first derivative of -3*d**4/4 - 5*d**2/2 - 9. Find the second derivative of c(z) wrt z.
-18*z
Let i(x) = 2*x**2 - x**2 + x + 0*x. Let f(g) = -g**2 + 3*g. Let l(p) = f(p) - 2*i(p). Find the second derivative of l(s) wrt s.
-6
Let v(c) = c**2 + 11*c + 6. Let p be v(-10). Let t = -1 - p. What is the first derivative of -t*s**2 - 3*s**2 + 0*s**2 + 4 + 2*s**2 wrt s?
-8*s
Let i = -2 - -5. Find the second derivative of -c + c**2 + 2*c - i*c**2 + c wrt c.
-4
Let g(z) = -2*z**3 - z**2 - z. Let i be g(-1). What is the third derivative of -4*q**3 + 4*q**2 - q**i + 3*q**3 wrt q?
-6
Let d(u) = -u**2 + 10*u + 5. Let f(n) = -2*n**2 + 21*n + 11. Let i(q) = 13*d(q) - 6*f(q). Let y be i(3). Differentiate -2 + 3*w - 3*w - y*w wrt w.
-2
Let i(z) be the first derivative of -z**7/105 - z**4/6 - 3*z**2/2 + 6. Let w(o) be the second derivative of i(o). Find the second derivative of w(f) wrt f.
-24*f**2
Let m(t) = -7*t - 1. Let s be m(-1). What is the second derivative of s*l - l - 11*l**5 - 2*l wrt l?
-220*l**3
Suppose 10 = 5*y, -2*o +
|
{
"pile_set_name": "DM Mathematics"
}
|
-2*u - 8 = -s. Let b(x) = -x**3 - 5*x**2 - 4*x - 2. Give b(u).
-2
Let u be 4 + (-340)/55 - (192/(-88) - -2). Let m(g) = 4*g - 5*g + 0*g. Calculate m(u).
2
Let p(q) = -q + 2. Let c = 26 - 17. Let x be (-3 - 0/4) + c. What is p(x)?
-4
Let n = 2438 + -2435. Let a(k) = k**2 + 10. What is a(n)?
19
Let k(s) = -s**3 + 3*s**2 - 2*s - 5. Let y(p) = p**3 - 2*p**2 + 3*p + 4. Let x(v) = 3*k(v) + 2*y(v). Suppose b + 16 + 14 = 0. Let g = -25 - b. Calculate x(g).
-7
Let g(i) be the second derivative of -i**5/20 - 13*i**4/12 - 35*i**3/6 + 9*i**2/2 - i + 422. What is g(-9)?
0
Let j(x) = 2*x**2 - x + 1. Let w(r) = -2*r**2 + 2*r - 4. Let h(c) = 4*j(c) + w(c). What is h(2)?
20
Let o(u) be the second derivative of u**4/8 + u**3/2 + 11*u**2/2 - 5*u. Let q(s) be the first derivative of o(s). Let f = -6 + 4. Give q(f).
-3
Let m = 311 - 307. Let o(i) = 4*i. What is o(m)?
16
Let u(i) = i. Suppose 0 = -3*b + 3*v - 3, b + 3*v - 1 = 6. Let y(f) = -2*f - 3. Let t(n) = b*y(n) + 3*u(n). Calculate t(-5).
-8
Suppose 15 = 3*x + 2*x. Let k(i) = -2*i + 0*i - 1 + i + 2*i. Let y(l) = -l + 1. Let c(s) = k(s) - 2*y(s). Calculate c(x).
6
Let n(j) = -65*j - 65*j + 190*j - 66*j + 7. What is n(4)?
-17
Suppose l - 24 = 7*l. Let x(d) be the second derivative of -d**4/12 - d**3 - 3*d**2/2 + 6*d. Calculate x(l).
5
Let p(v) be the first derivative of v**5/20 + v**4/8 + 31*v**2/2 + 4. Let x(k) be the second derivative of p(k). Give x(-2).
6
Suppose -9*v + 104 = -13*v. Let w = -26 - v. Suppose -c - c - 6 = w. Let s(p) = -p**3 - p**2 + 5*p + 4. What is s(c)?
7
Let o(d) = -4*d**2 + 3*d + 3. Suppose 20*t = -5*t - 50. Calculate o(t).
-19
Let k = 15 + -10. Let f(u) be the first derivative of u**2 - 6*u + 4. Determine f(k).
4
Let k = 5 + -8. Let a(j) = 6*j**3 + 5*j + 4. Let n(d) = 5*d**3 + 4*d + 3. Let v(x) = k*a(x) + 4*n(x). Let t be (-14)/10 - 4/(-10). What is v(t)?
-3
Let l(s) = -s**3 + 6*s**2 - 2*s + 6. Let z = -1753 - -1759. What is l(z)?
-6
Let m be (10/(-5) + -1)*-2. Let f(d) be the first derivative of 5/3*d**3 - 11 - 3*d + 3*d**2 - 1/4*d**4. What is f(m)?
-3
Let r(c) be the first derivative of 15 - 7/2*c**2 - 1/3*c**3 + 0*c. Suppose j = -0 - 6. Give r(j).
6
Let m(s) = -s + 2. Let b be m(6). Let r(a) = a**2. Let y(f) = -5*f**2 - f + 5. Let d(p) = 4*r(p) + y(p). Calculate d(b).
-7
Let f be ((-2)/4)/((-1)/4). Let c = 161 + -150. Let w(v) = c*v - 2 + 10*v - 21*v + 2*v**f. Give w(2).
6
Let f(a) = -2*a**2 - 6*a**2 - 9 + 8 + a**3 + 0. Let p = 5 + 15. Let d = p - 12. Calculate f(d).
-1
Let v(h) = h**2 + 2*h. Let y be 2/(-8) + (-13)/(-4). Suppose 0 = 3*s - 6*s. Suppose l = -s - y. Calculate v(l).
3
Let k(x) = 6*x**3 + 8*x**2 + 3*x - 3. Let w(l) be the first derivative of -7 + 4*l - 5/4*l**4 - 8/3*l**3 - l**2. Let h(z) = -6*k(z) - 7*w(z). Calculate h(7).
11
Let c(r) = 134*r - 9. Let x(u) = -16*u + 1. Let b(q) = 2*c(q) + 17*x(q). Let p be -1 + -1 - (0 + -1). Determine b(p).
3
Let d(u) = -1 + 0 - 89*u + 91*u - 3. Calculate d(-3).
-10
Let s = 249 + -18. Let q(o) = -116*o - 122*o + 5 + s*o + o**2. Give q(7).
5
Let i(w) = w**2 + 8. Suppose 4 + 16 = 5*n - 5*c, 4*n - 2*c = 12. Suppose 0 = n*a - 7*a. Determine i(a).
8
Let b(i) = -6*i**2 + 1 + 5*i + 0*i**3 + i**3 + 0*i**3. Let o = -6 - -12. Suppose 4*a + o = -2*n, -2*n - 4*a - 21 = -3*n. Give b(n).
1
Let z(u) be the second derivative of -u**4/12 - u**3/3 + 7*u**2 - 1011*u. Calculate z(0).
14
Let g(t) = -7*t**2 + t. Suppose 3*y - 4 = 2. Suppose 0*h + 2 = -y*h. Give g(h).
-8
Let p(a) = a + 2. Let l be p(0). Let s(t) = 2*t**2 - 53*t + 101*t - 51*t. Give s(l).
2
Suppose 13*b + 12 = 16*b. Suppose 2*a + 0 = 4*d - 2, b*d = a + 1. Let x(r) = 4*r**2 - 1. Give x(a).
3
Suppose -p - 5*x + 7 = -1, p = -4*x + 7. Let q(a) be the second derivative of 0*a**2 + 0 + a**3 - p*a + 1/12*a**4. What is q(-6)?
0
Let k(g) be the second derivative of -2/3*g**4 - 31*g - 5*g**2 + 0 - 1/20*g**5 - 11/6*g**3. Give k(-7).
18
Let u(l) = -l - 12. Let w be u(-9). Let r(t) = 5*t - 2. Determine r(w).
-17
Let k = -695 - -687. Let v(n) = -n**2 - 9*n - 11. Determine v(k).
-3
Let p(a) = a**2 - a. Let d(f) = -5*f**2 + 3*f - 18. Let q(j) = -d(j) - 6*p(j). Let m be q(5). Let b(h) = -h**2 + 7*h - 2. What is b(m)?
-10
Let x be 12*(-30)/(-40) + (4 - 3). Let h(i) = -i**2 + 8*i - 5. Calculate h(x).
-25
Let p be (4 + -2)*(-52)/104. Let t(g) = g - 3. Calculate t(p).
-4
Let w(i) = -6*i + 32. Let r(c) = 4*c - 22. Let d(p) = -7*r(p) - 5*w(p). Let z be (-2 + 4)*5/2. Suppose 11 + 9 = z*l. Give d(l).
2
Let m = 922 + -925. Let z(k) = -9*k - 5. What is z(m)?
22
Suppose 197*t - 213 + 315 = -292. Let y(l) be the second derivative of l**4/6 + l**3/2 + l**2/2 + l. Calculate y(t).
3
Let y(s) = 2*s + 30. Let f be (25 - -1)*(-68)/136. Calculate y(f).
4
Let s = -4 - -12. Let v(i) = 6*i**2 - 4*i - 3 + s*i**2 - 18*i**2 - 3*i**3. Calculate v(-2).
13
Let n(o) = -o**3 + 4*o**2 + 6*o - 1. Suppose -2*a + 4*t - 9 = 9, -3*t + 6 = 0. Let v be (-2 - 6)*a/8. Calculate n(v).
4
Suppose -11*a + 130 = -6*a. Let u be a/(-195) + 77/15. Let c(l) = -l**3 + 6*l**2 - 4*l - 7. Give c(u).
-2
Let s(a) = 7*a**3 - a**2 - 7*a + 10. Let f(w) = -4*w**3 + 3*w - 5. Let l(j) = -5*f(j) - 3*s(j). Suppose -1 = n + 2*v + 1, -4*n - 5*v + 1 = 0. What is l(n)?
3
Suppose 0 = 4*n - 4, -3*l + 3*n - 3 = -9. Let b(z) = 0*z + z + z + 4*z**2 - l*z**2 + 4. Give b(-3).
7
Let t(x) = -x. Suppose -5*h - 44 = -h. Let v = -10 - h. Let y = 1 + v. Calculate t(y).
-2
Let g(w) = w**3 - 10*w**2 + 8*w + 15. Let m = -12 + 21. Let y be g(m). Let q(r) = -r**2 + 7*r - 9. Calculate q(y).
-3
Let c be (-7)/(-1) - (-15 - -24). Let b(g) = g**3 + 4*g**2 + 4*g + 2. Give b(c).
2
Let s(h) = -h**2 - 5*h - 6. Let q be -1 + 2 + 0/(-6). Let j = q + 1. Suppose 1 = -j*y - 0*f + 3*f, -12 = 3*y - f. Determine s(y).
-6
Let l(u) = u**2 - u. Let q(v) = -v**3 + 6*v**2 + 11. Let b(f) = -2*l(f) - q(f). Let g = 47 - 14. Let n be g/4 + ((-330)/40 - -8). Give b(n).
5
Let o(z) = -z**3 + 2*z**2 + 2*z + 13. Let n be o(4). Let b(k) = k + 7. Let d be b(n). Let y(u) = u**3 + u**2 + 2 + 3*u**2 + 3*u**2 - 3*u**2. Calculate y(d).
2
Suppose 0 = -z - 0*z. Suppose z = -29*w + 24*w. Let r(m) = m - 3. What is r(w)?
-3
Let p(n) be the third derivative of n**5/120 + n**4/12 + n**3/6 - n**2. Let z(x) be the first derivative of p(x). Suppose -o + 1 = 4. What is z(o)?
-1
Let r(b) be the third derivative of -b**6/120 - b**5/60 - b**4/24 + 25*b**3/3 + 184*b**2. Determine r(0).
50
Suppose 9 = -5*w + 14. Let s(x) = -x**2 - x. What is s(w)?
-2
Let r(h) = -4424*h + 4419*h + 1 + 0*h**2 - h**2. Give r(-4).
5
Let o(s) be the first derivative of s**4/4 + 5*s**3/3 + 3*s**2/2 + 7*s + 418. Let k(p) = 4*p - 1. Let n be k(-1). Give o(n).
-8
Suppose -15 = 3*q + 15. Let x be (q/(-4) - 4)*2. Let w(u) = 2*u**3 + 5*u**2 + 2*u - 1. Calculate w(x).
-16
Let w(x) = x**2 - 6*x - 2. Let l be w(6). Let g(y) = 11*y + 4. Let k(u) = 3*u + 1. Let s(i) = -2*g(i) + 7*k(i). What is s(l)?
1
Suppose 4*a - 264 + 252 = 0. Let q(d) = d**3 - 2*d**2 + d - 2. Determine q(a).
10
Let b(z) be the third derivative of z**5/60 - 5*z**4/24 - 2*z**3/3 - 177*z**2. Calculate b(7).
10
Let r(w) be the first derivative of w**3/3 - 11*w**2/2 + 15*w - 605. Determine r(7).
-13
Suppose -2*h + 5*o - 5 - 4 = 0, o - 6 = h. Let x(n) = -n**3 - 8*n**2 - n + 51. Give x(h).
9
Let r(s) = -18*s**2 + 25*s + 14. Let q(h) = -8*h**2 + 13*h + 7. Let c(u) = 7*q(u) - 3*r(u). Calculate c(8).
7
Let d(a) = 2*a - 3. Let k(n) = 3*n - 2. Let q(y) = -y**3 + 3*y**2 + 1. Let i be q(3). Let f be k(i). Let w = 1 + f. Calculate d(w).
1
Let y(d) = -6*d**2 - d. Let c = -46 - -50. Suppose 4*x = 4*p + p - 13, 5*p + 3 = -c*x. Give y(p).
-7
Let j(z) = 8*z**3 - 4*z**2 - z - 3. Suppose 3*f = -0*o + 2*o + 16, -3*f + 4*o = -14. Let b(i) = 7*i**3 - 3*i**2 - i - 2. Let h(d) = f*j(d) - 7*b(d). Give h(-4).
8
Let l(y) = -11*y**2 - 2. Let o(b) = -13*b**2 + b - 2. Let v(k) = 5*l(k) - 4*o(k). What is v(-4)?
-34
Suppose 2*u - 2 = -2*y, y = -3 + 7. Suppose -3*a = 4*h + h, -a + 17 = -4*h. Let x(q) = q**2 + a*q + q**2 + 10 - 6. Determine x(u).
7
Let w(q) = -3*q - 4. Let l be w(-8). Let b(s) = s**3 - 14*s**2 - 18*s + 22. Let p be b(15). Let t = l + p. Let x(u) = -4*u - 4. What is x(t)?
8
Let y(c) be the first derivative of -c**5/120 - c**4/8 + 2*c**3/3 + 3. Let r(i) be the third derivative of y(i). Let h = -111 + 109. Calculate r(h).
-1
|
{
"pile_set_name": "DM Mathematics"
}
|
19) + 480
Simplify -2 + (sqrt(114) + 2*sqrt(114)*-1 - sqrt(114) - sqrt(114))/(sqrt(6) + (sqrt(384)*-1 - sqrt(6))).
-2 + 3*sqrt(19)/8
Simplify sqrt(66)/(sqrt(60)/(sqrt(10) - 2*sqrt(10)) - sqrt(6)).
-sqrt(11)/2
Simplify 3*(sqrt(52) + -1).
-3 + 6*sqrt(13)
Simplify -5*(sqrt(76)*-1)**2 + -5.
-385
Simplify ((-2*sqrt(77) - sqrt(77))*4)/((sqrt(84)/sqrt(2))/sqrt(6)).
-12*sqrt(11)
Simplify (-3 + sqrt(1216)*-2)*-6.
18 + 96*sqrt(19)
Simplify (sqrt(396)*-2)**2*-4*4.
-25344
Simplify sqrt(21)/((sqrt(30)*-1)/sqrt(10)).
-sqrt(7)
Simplify sqrt(125) + 2*sqrt(125)*-1.
-5*sqrt(5)
Simplify (sqrt(18)/(sqrt(9) + (sqrt(36) - sqrt(9))*-2) + -5)**2.
10*sqrt(2) + 27
Simplify -4*sqrt(612)*-2*2*1.
96*sqrt(17)
Simplify ((sqrt(1815)*2)/(sqrt(180)*-2 - sqrt(180)))**2.
121/27
Simplify (sqrt(228) - 3*sqrt(228)*1)/(-2*(sqrt(12) + sqrt(60)/sqrt(5))).
sqrt(19)/2
Simplify (sqrt(130)/(sqrt(20)/sqrt(2) + sqrt(10)) + 0)*6*6.
18*sqrt(13)
Simplify -3*((sqrt(50) + 2)**2 + 2).
-168 - 60*sqrt(2)
Simplify (sqrt(210)/sqrt(6)*-5 + sqrt(35))/sqrt(5).
-4*sqrt(7)
Simplify (sqrt(7) + sqrt(343) + 2)*-6.
-48*sqrt(7) - 12
Simplify 1*(sqrt(539) + -1) + sqrt(539) - sqrt(539) - sqrt(539).
-1
Simplify 0 + sqrt(396) + 1.
1 + 6*sqrt(11)
Simplify 3 + ((sqrt(19) - (sqrt(171) - (sqrt(171) + -2*sqrt(171)))/sqrt(9)) + sqrt(19) - sqrt(19))**2 + (sqrt(19) + sqrt(304)*1 - sqrt(19)).
4*sqrt(19) + 22
Simplify sqrt(20)*-4 + 3 + 2.
-8*sqrt(5) + 5
Simplify 2*(4 + (sqrt(320) + -1)**2).
-32*sqrt(5) + 650
Simplify (2*(-4*sqrt(19) + sqrt(19) + 5)*1)**2.
-120*sqrt(19) + 784
Simplify sqrt(35)/(2*sqrt(63)).
sqrt(5)/6
Simplify (sqrt(190) + (sqrt(190) - (5*sqrt(190)*-1 - sqrt(190))))/(sqrt(90)*6).
4*sqrt(19)/9
Simplify (sqrt(44)/sqrt(64) - (sqrt(11) + sqrt(88)/sqrt(2)))*-5.
55*sqrt(11)/4
Simplify ((1*sqrt(17) - sqrt(17)) + 2 - (sqrt(68) - (sqrt(68) + sqrt(68)*1 + sqrt(68) + sqrt(68) - sqrt(68))))**2*4.
64*sqrt(17) + 1104
Simplify (sqrt(11) - (3*sqrt(66)/sqrt(6) + sqrt(11))) + -3.
-3*sqrt(11) - 3
Simplify 4*(-3 + sqrt(7) + 3 + sqrt(700))**2.
3388
Simplify (1*(sqrt(192) + 0 + sqrt(192) - sqrt(192)) - 5*2*sqrt(192))**2.
15552
Simplify sqrt(60)/(sqrt(12) + -1*(sqrt(12) + sqrt(192))).
-sqrt(5)/4
Simplify -2*(3 + (-1 + sqrt(3))**2) - sqrt(84)/sqrt(7)*5.
-14 - 6*sqrt(3)
Simplify sqrt(16)/(4*sqrt(48)/sqrt(6)).
sqrt(2)/4
Simplify -5 + -2*sqrt(17)*-5.
-5 + 10*sqrt(17)
Simplify 2*2*sqrt(5)*4.
16*sqrt(5)
Simplify sqrt(98)*2 - sqrt(98) - (4 + sqrt(2)*-2).
-4 + 9*sqrt(2)
Simplify (-1 + sqrt(176) + 5 + -3)**2.
8*sqrt(11) + 177
Simplify 2 + sqrt(9)/sqrt(3) - (-2 + sqrt(3))*4.
-3*sqrt(3) + 10
Simplify sqrt(160)/(-6*sqrt(320)).
-sqrt(2)/12
Simplify -3*((sqrt(3) + 0 - sqrt(3)) + -4) + -5.
7
Simplify (1*sqrt(13) + 2)*4.
8 + 4*sqrt(13)
Simplify ((sqrt(432) - sqrt(48)) + -4 - (sqrt(3) + 0 + -3)*4)**2.
64*sqrt(3) + 112
Simplify sqrt(209)/(sqrt(66)/(sqrt(6) + (2*sqrt(6) - sqrt(6)))).
2*sqrt(19)
Simplify 2*(sqrt(228)/sqrt(300))**2.
38/25
Simplify sqrt(66)/((sqrt(6) + (sqrt(6) - (sqrt(6) - sqrt(54))) + sqrt(6) - sqrt(6))*2 - sqrt(6)).
sqrt(11)/7
Simplify 6*1*2*sqrt(475).
60*sqrt(19)
Simplify (2*(sqrt(19) - sqrt(190)/(4*sqrt(10))))**2 + 4.
187/4
Simplify (sqrt(36)/(-2*sqrt(3)))/(2*sqrt(24)).
-sqrt(2)/8
Simplify (4*sqrt(42)/sqrt(3))/((sqrt(18) + sqrt(2))*-4).
-sqrt(7)/4
Simplify sqrt(25)/(sqrt(80)/sqrt(4) - sqrt(20) - sqrt(20)).
-sqrt(5)/2
Simplify 5 + (sqrt(2)*1 + 2 + sqrt(2))**2.
8*sqrt(2) + 17
Simplify -1*sqrt(700)*1.
-10*sqrt(7)
Simplify 1*((sqrt(68) - (sqrt(68) + sqrt(68) + -3 + sqrt(68) - sqrt(68))) + sqrt(68)) + (sqrt(68)*-1 + -5 + sqrt(68) + sqrt(68) - sqrt(68))**2 + sqrt(68).
2*sqrt(17) + 28
Simplify (sqrt(70)/sqrt(125))/(sqrt(343)*2).
sqrt(2)/70
Simplify (2*(3 + -3*sqrt(17)))**2.
-72*sqrt(17) + 648
Simplify (sqrt(152) + sqrt(152) + (sqrt(152) - (sqrt(152)*3 + sqrt(152))) + sqrt(152))/(sqrt(72)*3).
0
Simplify -3 + -5*sqrt(63) - (sqrt(3402) + 1*sqrt(3402) + sqrt(3402) + sqrt(3402))/sqrt(6).
-51*sqrt(7) - 3
Simplify (-3 + sqrt(17) + sqrt(17) + 0 - sqrt(34)/sqrt(2)*-4)**2.
-36*sqrt(17) + 621
Simplify (5*sqrt(1008) - sqrt(7)) + (sqrt(175) + 4)**2.
191 + 99*sqrt(7)
Simplify 3 + -4*(sqrt(40)/sqrt(2))**2.
-77
Simplify sqrt(30)/(sqrt(162)/sqrt(3) - sqrt(6)).
sqrt(5)/2
Simplify (sqrt(170)/((sqrt(80)/sqrt(2))/sqrt(4)) + -1)**2.
-2*sqrt(17) + 18
Simplify 5 + -3*sqrt(108) + sqrt(108) + -5.
-12*sqrt(3)
Simplify -5*(-2 + -2 + sqrt(11)) + 1.
-5*sqrt(11) + 21
Simplify (2*sqrt(76)*-3)/(sqrt(16)*-2).
3*sqrt(19)/2
Simplify (sqrt(637)*1 + 5)**2*2 + -2.
140*sqrt(13) + 1322
Simplify 5*sqrt(1100)*1 + -2.
-2 + 50*sqrt(11)
Simplify sqrt(288) - (-2*sqrt(288) + 1)**2.
-1153 + 60*sqrt(2)
Simplify 6*(sqrt(2) + 0)**2*-1.
-12
Simplify -2 + (sqrt(75)*1)**2*2 + 3.
151
Simplify (2 + sqrt(3))*5*2.
10*sqrt(3) + 20
Simplify (sqrt(17) - sqrt(68))**2 + 0 + 2.
19
Simplify sqrt(1620) + sqrt(45)*-1.
15*sqrt(5)
Simplify (sqrt(84)/sqrt(54))/(sqrt(448)*-2).
-sqrt(2)/48
Simplify -2*(sqrt(180) + -2 + sqrt(405)*-1).
4 + 6*sqrt(5)
Simplify (5*sqrt(34)/sqrt(2) + sqrt(17))**2*1 + -5.
607
Simplify (-2*sqrt(539) + -1)**2.
28*sqrt(11) + 2157
Simplify (sqrt(65) - ((sqrt(65) - (sqrt(65) + 2*sqrt(65))*1) + sqrt(65)))/(sqrt(245)*-2).
-sqrt(13)/7
Simplify ((-4*sqrt(68) - sqrt(68))*-5 + sqrt(68) - sqrt(68))/((sqrt(200)/sqrt(5))/sqrt(10)).
25*sqrt(17)
Simplify (sqrt(153) + -2)**2 + (sqrt(17) - 2*(4 + sqrt(17))).
-13*sqrt(17) + 149
Simplify 6*(sqrt(100)/(sqrt(4)/sqrt(2)))/sqrt(360).
sqrt(5)
Simplify ((-2*sqrt(2057)*-5 - sqrt(2057)) + sqrt(2057) + 1 + 1 + sqrt(2057))**2.
484*sqrt(17) + 248901
Simplify -3*(sqrt(180) + 3*(sqrt(180) + 2)**2 - sqrt(180)).
-1656 - 216*sqrt(5)
Simplify -1*(sqrt(88)/sqrt(72) - sqrt(11)).
2*sqrt(11)/3
Simplify (sqrt(76) + -1*sqrt(76) + 4 + 4)**2.
64
Simplify (sqrt(160)/sqrt(5))**2 - (sqrt(8) + 2).
-2*sqrt(2) + 30
Simplify (sqrt(39)/(sqrt(21)/(2*sqrt(7))))**2.
52
Simplify (sqrt(833)*-2*-1)**2.
3332
Simplify -1*sqrt(200) + 5.
-10*sqrt(2) + 5
Simplify (1*sqrt(832) - (-3 + sqrt(13) + 2))**2.
14*sqrt(13) + 638
Simplify -4 + sqrt(55)/(-1*sqrt(44) + sqrt(11)).
-4 - sqrt(5)
Simplify sqrt(2299) + (5 + sqrt(2299) + sqrt(2299)*-1 + sqrt(2299))**2.
121*sqrt(19) + 2324
Simplify (sqrt(153)/sqrt(3)*-3)/(sqrt(3) - (sqrt(27) + sqrt(243) - sqrt(27))).
3*sqrt(17)/8
Simplify 4 + ((sqrt(95)/sqrt(5))**2 + 4 - -1*sqrt(95)/sqrt(5)).
sqrt(19) + 27
Simplify ((sqrt(204) + (sqrt(204)*1 - sqrt(204)))*-1)/(sqrt(12) - -1*sqrt(48)).
-sqrt(17)/3
Simplify -3 + (sqrt(1152) - sqrt(1152)*2)/(-1*sqrt(294)).
-3 + 8*sqrt(3)/7
Simplify -2*sqrt(4400).
-40*sqrt(11)
Simplify -4 + (4*sqrt(68)*2)/sqrt(4).
-4 + 8*sqrt(17)
Simplify (sqrt(256) - ((sqrt(256) - (sqrt(256) + (sqrt(256) - (-2*sqrt(256) + sqrt(256)) - sqrt(256)) - sqrt(256))) + sqrt(256)))/(sqrt(8)*2*-5).
0
Simplify sqrt(85)/sqrt(125)*3*-3.
-9*sqrt(17)/5
Simplify (1 + sqrt(500)*-2 + 3 + 5)**2.
-360*sqrt(5) + 2081
Simplify -2 + (-4 + sqrt(300) + 6*1*sqrt(300))**2.
-560*sqrt(3) + 14714
Simplify (-5*sqrt(35)*2 + sqrt(35))/(sqrt(77)/(sqrt(44)/sqrt(4))).
-9*sqrt(5)
Simplify ((sqrt(5)*2 - sqrt(5))**2 + 0 + -5*sqrt(80))*-5.
-25 + 100*sqrt(5)
Simplify (sqrt(11) + (-2 + -2*sqrt(11) - sqrt(11)) + 3)*-3.
-3 + 6*sqrt(11)
Simplify (sqrt(4896)*1)/(sqrt(500)/sqrt(10)).
12*sqrt(17)/5
Simplify sqrt(6)/(-2*sqrt(3)*-2).
sqrt(2)/4
Simplify -2 + (sqrt(11)*-2)**2 + 1 - (sqrt(11) + 5*2*sqrt(11) + 3).
-11*sqrt(11) + 40
Simplify -4 + (-2*((sqrt(209) - 1*sqrt(209)) + sqrt(209)))/sqrt(11).
-2*sqrt(19) - 4
Simplify (sqrt(117) - (sqrt(117) + sqrt(117) + sqrt(117)*-2*-5 + sqrt(117)))/(sqrt(225)*-1 + sqrt(225) + sqrt(9)).
-12*sqrt(13)
Simplify -5*1*(3*sqrt(200))**2.
-9000
Simplify 1 + (0 + sqrt(243))*1 + -4.
-3 + 9*sqrt(3)
Simplify sqrt(30)/(sqrt(30)/(3*sqrt(5) - sqrt(5))).
2*sqrt(5)
Simplify sqrt(5) + 2*sqrt(45) + sqrt(5) - (sqrt(125) + (3*sqrt(125) - sqrt(125)))**2.
-1125 + 8*sqrt(5)
Simplify (((sqrt(55)/sqrt(5) + sqrt(11))*6 - (sqrt(1100) + 1))*-3)**2.
-36*sqrt(11) + 405
Simplify -5 + (sqrt(3) - (sqrt(3) + 1 + sqrt(6)/sqrt(2)))*-2.
-3 + 2*sqrt(3)
Simplify (1 + sqrt(13) + -4 - ((sqrt(117))**2 + -2)) + 3.
-115 + sqrt(13)
Simplify sqrt(14)/(sqrt(2) - sqrt(8)) + (sqrt(7) - -2*sqrt(112)).
8*sqrt(7)
Simplify ((sqrt(176)*2 - sqrt(11)) + 4)**2.
56*sqrt(11) + 555
Simplify ((-1*sqrt(19) + sqrt(19))**2*-4 - (sqrt(76)*-2)/sqrt(4)) + 5.
5 + 2*sqrt(19)
Simplify -4*(sqrt(1216) - sqrt(19))**2 + (sqrt(2736)
|
{
"pile_set_name": "DM Mathematics"
}
|
23/2, 0.09 in descending order.
0.09, -0.3, -23/2, -19
Put 76, 0.4, 7, 5, -6 in decreasing order.
76, 7, 5, 0.4, -6
Sort 20356, 1, -1 in descending order.
20356, 1, -1
Sort -25, -3, -5, -307 in decreasing order.
-3, -5, -25, -307
Put -4, 19, 1, 5, -5, -2 in descending order.
19, 5, 1, -2, -4, -5
Sort -1, 1/345, 2/3, -6, 4/3 in ascending order.
-6, -1, 1/345, 2/3, 4/3
Put -505, -4, -1, 2, -7, 0 in decreasing order.
2, 0, -1, -4, -7, -505
Sort -82, 86, 0.
-82, 0, 86
Sort 3, 24, 36, 2 in increasing order.
2, 3, 24, 36
Put 5, 3, 2/13, 0.8, -1.81 in decreasing order.
5, 3, 0.8, 2/13, -1.81
Sort -413, -5, 58 in ascending order.
-413, -5, 58
Sort -16/3, 4/5, 6/5, 0.12, 5, 0.
-16/3, 0, 0.12, 4/5, 6/5, 5
Put -4, -14905, -0.08 in descending order.
-0.08, -4, -14905
Put -1/7, 1/4, 41, 0.1, 22, -5 in descending order.
41, 22, 1/4, 0.1, -1/7, -5
Put -2, 0.2, -4, 12 in increasing order.
-4, -2, 0.2, 12
Put 16, -8447, 4 in decreasing order.
16, 4, -8447
Sort -7, 2, 5, 1/5, -45, 6.
-45, -7, 1/5, 2, 5, 6
Sort 8, 34, 679.
8, 34, 679
Put -1, 5, 0.26, 33, 0, 4 in increasing order.
-1, 0, 0.26, 4, 5, 33
Put -2/9, 18, -2, 5/8, 0.4 in ascending order.
-2, -2/9, 0.4, 5/8, 18
Sort -5, 1, -4, 1183, -144, -3 in descending order.
1183, 1, -3, -4, -5, -144
Put -4, -10, -7.91 in ascending order.
-10, -7.91, -4
Put 183, -1, -2905 in decreasing order.
183, -1, -2905
Put 2, 96, -5, -0.5 in increasing order.
-5, -0.5, 2, 96
Put 27, 0.02, -95, 13 in ascending order.
-95, 0.02, 13, 27
Sort 89/23, 0.17, 5 in ascending order.
0.17, 89/23, 5
Put -5, -0.09, 69, 30, -2/11, 0.5 in increasing order.
-5, -2/11, -0.09, 0.5, 30, 69
Sort 2, -3, 7, 943 in descending order.
943, 7, 2, -3
Put 0, -192, 384, -2 in ascending order.
-192, -2, 0, 384
Sort 18, 252, -2, -3 in increasing order.
-3, -2, 18, 252
Put -227, -0.7, -2, 1/7, -0.5 in decreasing order.
1/7, -0.5, -0.7, -2, -227
Put 62, 0.3, 8, 10 in decreasing order.
62, 10, 8, 0.3
Put -62, 10, -5, -53, 0 in increasing order.
-62, -53, -5, 0, 10
Put -84, -4, 137, 4, -5 in decreasing order.
137, 4, -4, -5, -84
Put 0, -20423, -17, -4 in increasing order.
-20423, -17, -4, 0
Put -179, -113, 0.3, 2, 2/5, -1/7 in descending order.
2, 2/5, 0.3, -1/7, -113, -179
Sort -790, -5, 59, 4 in descending order.
59, 4, -5, -790
Put -20, 0.453, -1, 0.2 in decreasing order.
0.453, 0.2, -1, -20
Sort 1, -164, 26 in descending order.
26, 1, -164
Sort 0, -1, -6, 38, -2, 5 in ascending order.
-6, -2, -1, 0, 5, 38
Put 0.3, -7, 3/2, -2.2, 0.4, 0.2 in increasing order.
-7, -2.2, 0.2, 0.3, 0.4, 3/2
Put 2, 51, -3, 0 in descending order.
51, 2, 0, -3
Sort 0, -1/16, 4, -2088, -2/11, 4/3.
-2088, -2/11, -1/16, 0, 4/3, 4
Put 2.4, 1/5, 119, 0 in decreasing order.
119, 2.4, 1/5, 0
Put -4, -4/11, -1935 in descending order.
-4/11, -4, -1935
Sort -5, 27, -13, -1, -3, 5 in increasing order.
-13, -5, -3, -1, 5, 27
Sort -5, 0.0538, 45.
-5, 0.0538, 45
Put 633, 26, 8 in descending order.
633, 26, 8
Put -5, -11/5, 72/113 in descending order.
72/113, -11/5, -5
Sort 0.131726, -1/5, -2 in ascending order.
-2, -1/5, 0.131726
Put 0, 968, -6 in descending order.
968, 0, -6
Sort -9, -1344, 2 in decreasing order.
2, -9, -1344
Sort -5, 4144, 6, -3, 3, 5 in descending order.
4144, 6, 5, 3, -3, -5
Put 0, -26, -0.03, 6, -1.1 in ascending order.
-26, -1.1, -0.03, 0, 6
Put -5, 4, -1, -4, 693 in descending order.
693, 4, -1, -4, -5
Sort -0.4, 482, -3, 12 in decreasing order.
482, 12, -0.4, -3
Put -3, -16, 127, 2, 5 in increasing order.
-16, -3, 2, 5, 127
Sort 0, -66, 11, 16.
-66, 0, 11, 16
Put -5, -13, -3, 13, 2, 4 in decreasing order.
13, 4, 2, -3, -5, -13
Sort 95, 4, 9, -9, 5 in decreasing order.
95, 9, 5, 4, -9
Put -2, 5, 678, -7, 3 in descending order.
678, 5, 3, -2, -7
Put -3/91, 19, 0.1, -5 in decreasing order.
19, 0.1, -3/91, -5
Put -89803, 3, -4, 1 in decreasing order.
3, 1, -4, -89803
Sort -52, 2, -3, 1/12, 0.5 in decreasing order.
2, 0.5, 1/12, -3, -52
Sort -2, 3/104, -152, 4, -3, -2/19 in increasing order.
-152, -3, -2, -2/19, 3/104, 4
Put -6/13, -0.2, -211 in ascending order.
-211, -6/13, -0.2
Put 0.4, 1, 13739 in ascending order.
0.4, 1, 13739
Sort -9, 3, 1/5, -1/7, 0.4 in decreasing order.
3, 0.4, 1/5, -1/7, -9
Sort 159, -89, 0, -1 in decreasing order.
159, 0, -1, -89
Sort -4, -1/7, -2/5, 4, 181 in ascending order.
-4, -2/5, -1/7, 4, 181
Put -1, 2, 306, 0 in increasing order.
-1, 0, 2, 306
Put -2/3, -2/71, -288, 1 in ascending order.
-288, -2/3, -2/71, 1
Sort -5, -3594, 57 in descending order.
57, -5, -3594
Put 7, -12534, -1/8 in increasing order.
-12534, -1/8, 7
Sort -2/611, 1, -1/5, 0.15, -2, 4 in descending order.
4, 1, 0.15, -2/611, -1/5, -2
Put -67, 3, -0.15 in decreasing order.
3, -0.15, -67
Sort 0, 12, 7, -27 in increasing order.
-27, 0, 7, 12
Put 3, 21/2, 13, -0.4, -0.1, -9/28 in decreasing order.
13, 21/2, 3, -0.1, -9/28, -0.4
Put -4, 6, 1625 in descending order.
1625, 6, -4
Put 31, 7, 19, 5, -16 in descending order.
31, 19, 7, 5, -16
Put 2019, 4, -3, 2, -5 in descending order.
2019, 4, 2, -3, -5
Put 2, -121, 59, -3, 17 in descending order.
59, 17, 2, -3, -121
Put 1, -2, 29, -5, 2, -1 in decreasing order.
29, 2, 1, -1, -2, -5
Put 1.21, 0, 147 in descending order.
147, 1.21, 0
Put -1.5, 15, -1, -0.3, -5/12, 0.2 in descending order.
15, 0.2, -0.3, -5/12, -1, -1.5
Sort -12/19099, -3/4, 5, 0.4 in ascending order.
-3/4, -12/19099, 0.4, 5
Sort -33, 3, 7, -3, -189 in decreasing order.
7, 3, -3, -33, -189
Put 5, -1, 1, 3, 1151 in ascending order.
-1, 1, 3, 5, 1151
Put 3630, 2/7, 35.4 in descending order.
3630, 35.4, 2/7
Sort 3, -3, 8, 2, 1, -1 in ascending order.
-3, -1, 1, 2, 3, 8
Put -4/5, 306, -0.5 in ascending order.
-4/5, -0.5, 306
Sort 0, 2/11, 3043.
0, 2/11, 3043
Sort 9, -534, -5 in decreasing order.
9, -5, -534
Sort 0, 22, -4, -17, 5, 4.
-17, -4, 0, 4, 5, 22
Put 3, 1, 2, -953, 0 in increasing order.
-953, 0, 1, 2, 3
Sort 15, -2/3, 0.2, -9, 1.061 in ascending order.
-9, -2/3, 0.2, 1.061, 15
Sort -2, 1, -1, -4, 6158 in decreasing order.
6158, 1, -1, -2, -4
Sort -4, -2, -0.04, 0.03, 67/6 in increasing order.
-4, -2, -0.04, 0.03, 67/6
Sort -19, -4, -3, 8 in increasing order.
-19, -4, -3, 8
Put 4, -112, -12 in ascending order.
-112, -12, 4
Sort -3, 211, 4, 11 in increasing order.
-3, 4, 11, 211
Put -26, -215, -4, 5, 0, -3 in ascending order.
-215, -26, -4, -3, 0, 5
Sort 999, -4, 5, -5, 3, -3 in descending order.
999, 5, 3, -3, -4, -5
Put -5, 2/39, -0.8, 0.4, 5/2, 2/21 in decreasing order.
5/2, 0.4, 2/21, 2/39, -0.8, -5
Sort 3, -661, -3, -2 in descending order.
3, -2, -3, -661
Sort -61, 7/4, -0.03, 1.
-61, -0.03, 1, 7/4
Sort -1, -11.9, 3, -5, 370, 2 in ascending order.
-11.9, -5, -1, 2, 3, 370
Sort -4, 3, -5, -153, 9 in decreasing order.
9, 3, -4, -5, -153
Put 0.08, -7, 1/4, -3/4, -0.3, 2 in decreasing order.
2, 1/4, 0.08, -0.3, -3/4, -7
Sort -2/13, -45, 19.
-45, -2/13, 19
Sort 0.5, -2.963, 42, -2/9 in decreasing order.
42, 0.5, -2/9, -2.963
Sort -3, 3, -8, -1233 in decreasing order.
3, -3, -8, -1233
Sort 4, -1, -4/7, -3.3, 1/8, -0.6.
-3.3, -1, -0.6, -4/7, 1/8, 4
Sort 4/7, 1, -27.26 in decreasing order.
1, 4/7, -27.26
Sort -60, 0, -76, 5, 4 in descending order.
5, 4, 0, -60, -76
Sort 5, -0.066, 2, 4 in ascending order.
-0.066, 2, 4, 5
Sort 4/9, 0, 1.1, 1, -7/4 in decreasing order.
1.1, 1, 4/9, 0, -7/4
Sort 15, -1, 4.5, 9, -3/2, -3 in decreasing order.
15, 9, 4.5, -1, -3/2, -3
Put 12, 0.4, -0.17, -2/7, 10 in descending order.
12, 10, 0.4, -0.17, -2/7
Sort 68, 65, 4 in increasing order.
4, 65, 68
Put -5, 0, 4, -605 in decreasing order.
4, 0, -5, -605
Put 1, -1, -2, -1960, 2 in ascending order.
-1960, -2, -1, 1, 2
Put 579, -5, 4, 17 in ascending order.
-5, 4, 17, 579
Sort -154, -2, -63 in descending order.
-2, -63, -154
Sort 143, -0.128, 2/9.
-0.128, 2/9, 143
Sort 202, 4, -22.
-22, 4, 202
Put -1, 4, -4/3, 0.02, -0.062, -4 in decreasing order.
4, 0.02, -0.062, -1, -4/3, -4
Sort 2999, 0.2, 1.5 in decreasing order.
2999, 1.5, 0.2
Put -215, -8, 0 in descending order.
0, -8, -215
Sort 1, -5, -2022, -4/5, 5, 3/8 in increasing order.
-2022, -5, -4/5, 3/8, 1, 5
Sort 6, 2, 94, -118 in ascending order.
-118, 2, 6, 94
Sort 8, 5, 6, -1034, -1 in decreasing order.
8, 6, 5, -1, -1034
Sort -1/13, -3/7, 1/5, 4/7.
-3/7, -1/13, 1/5, 4/7
Put -4, 222, -2, 5, -6, -5 in decreasing order.
222, 5, -2, -4,
|
{
"pile_set_name": "DM Mathematics"
}
|
-16*r + 56. Determine a(6).
-40
Let k(n) = -65*n - 2910. Calculate k(-45).
15
Let l(g) = -87*g + 38. What is l(-2)?
212
Let k(v) = 63*v**2 - 6*v + 25. Calculate k(3).
574
Let n(h) = 97*h**2 - 44*h + 2. Determine n(1).
55
Let a(n) = -n**2 - 28*n + 2672. Calculate a(39).
59
Let k(y) = -y**2 - 23*y + 13. Determine k(-23).
13
Let a(y) = y**3 - 53*y**2 + 42*y + 8. Give a(1).
-2
Let z(h) = 2*h**3 - 29*h**2 + 23*h - 200. What is z(14)?
-74
Let y(s) = -21*s + 200. What is y(10)?
-10
Let f(x) = 7*x**2 + 19*x - 22. What is f(4)?
166
Let u(y) = y**3 + 33*y**2 + 21*y + 1762. What is u(-34)?
-108
Let d(k) = 4*k**2 - 56*k - 51. What is d(15)?
9
Let c(j) = -2*j**3 + 44*j**2 - 94*j + 335. Determine c(20).
55
Let x(m) = 321*m - 951. What is x(3)?
12
Let u(v) = 38*v - 38. Determine u(3).
76
Let q(y) = -5*y**2 + 23*y - 6. Calculate q(4).
6
Let g(b) = 754*b + 5290. What is g(-7)?
12
Let j(y) = -4*y**3 - 3*y**2 - 10*y - 26. Determine j(-3).
85
Let d(z) = -z**3 - 20*z**2 - 52*z + 6. What is d(-17)?
23
Let b(i) = -i**3 - 35*i**2 - 32*i + 19. Give b(-34).
-49
Let k(v) = 6*v**2 + 172*v - 48. What is k(-29)?
10
Let p(k) = 3*k**3 + 50*k**2 + 39*k - 180. Calculate p(-15).
360
Let o(d) = -d**3 - 98*d**2 + 849*d + 93. Calculate o(-106).
-13
Let n(v) = -4*v**2 - 133*v - 160. Calculate n(-33).
-127
Let x(i) = i**2 - 148*i + 5469. Determine x(70).
9
Let x(u) = -96*u + 44. Determine x(3).
-244
Let i(s) = -s**3 - 9*s**2 - 55*s - 199. Give i(-4).
-59
Let v(c) = 13*c**2 - 265*c + 346. Determine v(19).
4
Let o(y) = -5549*y + 5552. Calculate o(1).
3
Let w(u) = u**2 - 85*u - 82. Calculate w(-1).
4
Let d(g) = 465*g**2 + 73*g - 74. Calculate d(1).
464
Let d(n) = 126*n - 1133. Calculate d(9).
1
Let p(t) = 73*t + 71. Give p(6).
509
Let j(q) = -99*q + 552. Determine j(6).
-42
Let z(v) = v**2 - 213*v + 11344. Calculate z(102).
22
Let t(n) = -8833*n - 26502. Give t(-3).
-3
Let v(l) = -l**3 + 85*l**2 + 2*l - 235. What is v(85)?
-65
Let d(q) = -q**3 - 73*q**2 - 1222*q - 3. What is d(-47)?
-3
Let l(k) = -3*k**3 + 6*k**2 + 6*k - 28. What is l(-3)?
89
Let d(s) = -2*s**3 + 157*s**2 + 77*s + 161. What is d(79)?
3
Let f(u) = 25*u**3 + 72*u**2 - 4*u - 30. Give f(-3).
-45
Let s(k) = -k**3 - 9*k**2 - 13*k + 19. What is s(-5)?
-16
Let r(x) = x**3 + 1120*x**2 - 5627*x + 2. Calculate r(5).
-8
Let w(j) = 8*j**2 + 6*j + 42. Give w(0).
42
Let l(c) = -20*c - 27. Give l(-1).
-7
Let c(q) = 15*q + 3. Determine c(-10).
-147
Let f(p) = -4*p**2 + 44*p - 189. Determine f(9).
-117
Let u(t) = -108*t**2 - 90*t - 90. What is u(-1)?
-108
Let a(b) = 2470*b + 5000. Calculate a(-2).
60
Let n(h) = 40*h - 357. Give n(10).
43
Let z(d) = -d**2 + 33*d + 75. Determine z(34).
41
Let k(b) = -755*b - 165. Determine k(-1).
590
Let n(j) = 7*j**2 + 808*j + 335. What is n(-115)?
-10
Let l(j) = -j**3 - 17*j**2 + 46*j + 54. What is l(-19)?
-98
Let q(c) = -22*c**2 + 332*c - 36. Determine q(15).
-6
Let m(v) = -303*v + 1601. What is m(6)?
-217
Let u(o) = -337*o**2 - 2031*o + 12. Calculate u(-6).
66
Let j(s) = 4*s**2 + 2*s + 52. What is j(-9)?
358
Let f(c) = -14*c + 150. What is f(12)?
-18
Let p(q) = q**3 + 15*q**2 - 58*q + 5. Calculate p(-18).
77
Let a(p) = p**2 + 83*p - 432. Determine a(5).
8
Let y(u) = -19*u**3 + 245*u**2 + 17*u + 116. Give y(13).
-1
Let t(k) = k**3 - 9*k**2 - 15*k + 86. Calculate t(10).
36
Let w(k) = 19*k - 14. Give w(-12).
-242
Let b(v) = 6*v**2 + 942*v + 9627. What is b(-146)?
-9
Let b(v) = v**3 + 9*v**2 - 13*v - 76. Determine b(-10).
-46
Let j(v) = 5*v**2 - 48*v + 238. Determine j(6).
130
Let a(q) = -4*q**2 - 621*q - 8545. What is a(-140)?
-5
Let d(a) = a**2 - 462*a - 6165. Determine d(-13).
10
Let w(g) = g**2 + 26*g - 180. Calculate w(-16).
-340
Let k(t) = 38*t + 67. Give k(0).
67
Let q(j) = -3*j**2 + 241*j + 6628. What is q(102)?
-2
Let k(b) = -b**3 + 26*b**2 - 166*b - 23. Calculate k(14).
5
Let o(p) = -p**2 + 400*p - 5779. What is o(15)?
-4
Let t(v) = -v**2 + 255*v + 3727. Calculate t(-14).
-39
Let f(s) = -27*s + 652. Calculate f(24).
4
Let h(k) = 4*k**2 + 38*k - 185. Calculate h(-13).
-3
Let u(m) = -m**2 + 12*m + 140. Calculate u(19).
7
Let s(q) = -q**3 - 2*q**2 - 8*q + 12. What is s(0)?
12
Let r(c) = c**3 + 74*c**2 + 1146*c + 62. Determine r(-22).
18
Let h(u) = 2*u**2 + 15*u - 337. Determine h(10).
13
Let r(o) = 4*o - 47. Calculate r(-5).
-67
Let o(n) = -n**2 + 24*n + 15. What is o(17)?
134
Let k(g) = 82*g + 4667. Give k(-57).
-7
Let b(k) = -52*k + 8412. Give b(162).
-12
Let m(c) = -3155*c + 25325. Determine m(8).
85
Let p(n) = 421*n**2 + 306*n - 1. Give p(-1).
114
Let m(w) = w**2 + 125*w - 2136. What is m(15)?
-36
Let j(m) = 70*m + 231. Calculate j(-4).
-49
Let k(s) = -9*s**2 - 103*s + 10. Calculate k(-8).
258
Let s(b) = 2*b**3 + 8*b**2 + 24*b + 52. What is s(-3)?
-2
Let c(w) = -2*w**2 + 56*w - 370. Give c(16).
14
Let t(r) = -r**3 + 23*r**2 - 9*r - 146. Calculate t(23).
-353
Let n(p) = 2*p**2 - 19*p - 28. Determine n(13).
63
Let b(r) = 4*r - 276. What is b(-43)?
-448
Let k(b) = -45*b + 61. Give k(-2).
151
Let c(n) = n**2 - 6*n - 91. Calculate c(-9).
44
Let z(i) = -16*i**2 - 42*i - 223. Determine z(-6).
-547
Let k(v) = -2*v**2 - 56*v - 374. Determine k(-17).
0
Let i(p) = -11*p**2 - 588*p + 316. Give i(-54).
-8
Let h(z) = -z**2 + 29*z + 85. What is h(32)?
-11
Let n(x) = 10239*x + 286695. What is n(-28)?
3
Let k(w) = -267*w - 33102. What is k(-124)?
6
Let z(y) = -2*y**3 + 368*y**2 + 367*y + 560. What is z(185)?
5
Let p(z) = 41*z + 356. Calculate p(-7).
69
Let y(j) = -j**3 - 37*j**2 + 78*j + 2. Determine y(-39).
2
Let q(f) = 132*f + 6739. What is q(-51)?
7
Let u(c) = -16*c**2 + 56*c - 57. Calculate u(1).
-17
Let r(i) = -9*i**2 - 49*i - 72. Give r(-11).
-622
Let i(t) = -t**2 - 84*t - 72. Give i(-88).
-424
Let n(j) = -j**2 - 91*j - 2098. Determine n(-45).
-28
Let j(o) = o**3 + 13*o**2 - 54*o + 58. Determine j(-16).
154
Let f(l) = -2*l**3 + 19*l**2 - 52*l - 16. Give f(6).
-76
Let z(c) = -25*c + 1313. Give z(52).
13
Let s(u) = u**3 + 20*u**2 - 15*u - 27. Calculate s(-20).
273
Let n(d) = -588*d**2 + 32*d - 31. Determine n(1).
-587
Let x(n) = 2*n - 113. What is x(52)?
-9
Let f(k) = 5*k**3 + 9*k**2 - 41*k - 2. Calculate f(5).
643
Let g(u) = -2*u**2 - 60*u - 353. Calculate g(-7).
-31
Let x(u) = u**2 + 273*u - 46653. Determine x(119).
-5
Let s(r) = 20*r - 33. Calculate s(5).
67
Let w(o) = -11*o - 171. What is w(-15)?
-6
Let f(r) = -2545*r + 38177. Calculate f(15).
2
Let f(g) = -187*g + 2988. What is f(16)?
-4
Let g(z) = -16*z**2 + 464*z + 17. Determine g(29).
17
Let j(o) = -o**2 + 23*o + 288. What is j(-9)?
0
Let b(k) = -5*k - 30. Calculate b(-3).
-15
Let q(i) = i**2 + 2649*i - 5308. Calculate q(2).
-6
Let n(x) = x**3 + 5*x**2 + 3*x - 22. What is n(-3)?
-13
Let m(c) = -82*c**2 - 213*c + 214. Calculate m(1).
-81
Let l(y) = -8*y**2 + 139*y + 1147. Determine l(-8).
-477
Let d(w) = -850*w - 1703. Give d(-2).
-3
Let w(x) = -x**3 + 18*x**2 + 23*x - 12. What is w(19)?
64
Let t(n) = n**2 - 45*n + 481. Determine t(29).
17
Let s(a) = 14*a**3 + 11*a**2 + 20*a - 11. Determine s(-3).
-350
Let f(r) = r**3 + 12*r**2 - 51*r - 687. Give f(-11).
-5
Let r(d) = -d**3 + 12*d**2 - 163*d + 921. Give r(7).
25
Let y(z) = 57*z + 1851. What is y(-34)?
-87
Let t(k) = -k**3 + 23*k**2 - 65*k + 483. What is t(21)?
0
Let l(y) = 2*y**3 + 180*y**2 - y - 221. Give l(-90).
-131
Let i(s) = 5*s - 152. Determine i(28).
-12
Let d(i) = -i**2 + 8*i + 158. Determine d(18).
-22
Let r(n) = -52*n - 339. Calculate r(-8).
77
Let x(k) = -3*k**2 - 101*k - 726. What is x(-29)?
-320
Let m(w) = -183*w + 9145. Determine m(50).
-5
Let d(n) = -65*n + 425. Calculate d(6).
35
Let v(x) = -3*x**2 - 166*x - 210. Determine v(-54).
6
Let n(j) = j**3 + 5*j**2 + 147*j + 588. Calculate n(-4).
16
Let k(w) = 3*w - 112. Determine k(18).
-58
Let y(j) = 11*j**2 - 28*j + 4. What is y(-5)?
419
Let u(l) = -l**3 + 55*l**2 - 547*l + 37. Give u(42).
-5
Let p(w) = 2*w**3 + w**2 + 3*w - 8. Give p(2).
18
Let m(o) = 365*o - 1457. What is m(4)?
3
Let c(b) = -22*b + 244. Give c(0).
244
Let s(o) = -8*o - 9. What is s(-2)?
7
Let f(a) = -101*a + 493. Calculate f(8).
-315
Let u(d) = -157*d + 46. Give u(4).
-582
Let t(s) = -3*s**2 + 333*s + 683. What is t(113)?
5
Let c(n) = -39*n + 360. What is c(13)?
-147
Let v(o) = 82*o + 389. Give v(-8).
-267
Let j(s) = 96*s + 11. Calculate j(-6).
-565
Let l(v) = 3*v**
|
{
"pile_set_name": "DM Mathematics"
}
|
-2333, -4629, -8067?
-38*f**3 - f**2 + 31*f - 9
What is the l'th term of -6657, -6659, -6661, -6663, -6665?
-2*l - 6655
What is the k'th term of -1008, -1009, -1010, -1011, -1012?
-k - 1007
What is the m'th term of 218, 438, 658?
220*m - 2
What is the i'th term of -33, -15, 23, 87, 183, 317?
i**3 + 4*i**2 - i - 37
What is the k'th term of -261, -263, -265, -267, -269, -271?
-2*k - 259
What is the l'th term of -1320, -2632, -3944, -5256, -6568?
-1312*l - 8
What is the l'th term of 1018, 2039, 3060, 4081?
1021*l - 3
What is the a'th term of -459, -455, -451, -447, -443?
4*a - 463
What is the y'th term of 141, 149, 157, 165, 173?
8*y + 133
What is the d'th term of -1903, -1905, -1907, -1909?
-2*d - 1901
What is the u'th term of -2, 20, 46, 76?
2*u**2 + 16*u - 20
What is the z'th term of 4, 14, 32, 58?
4*z**2 - 2*z + 2
What is the m'th term of -666, -2647, -5940, -10539, -16438, -23631?
m**3 - 662*m**2 - 2*m - 3
What is the r'th term of -629, -1253, -1873, -2489, -3101?
2*r**2 - 630*r - 1
What is the f'th term of -14, -36, -88, -182, -330, -544, -836?
-2*f**3 - 3*f**2 + f - 10
What is the k'th term of 6, 14, 22, 30, 38, 46?
8*k - 2
What is the o'th term of 49, 40, 17, -26, -95, -196, -335, -518?
-o**3 - o**2 + o + 50
What is the t'th term of 64, 120, 176?
56*t + 8
What is the d'th term of 519, 521, 525, 531?
d**2 - d + 519
What is the s'th term of -37, -29, -21, -13, -5, 3?
8*s - 45
What is the o'th term of -835, -824, -813, -802, -791?
11*o - 846
What is the y'th term of -40, -95, -150, -205, -260?
-55*y + 15
What is the w'th term of -458, -464, -472, -482, -494?
-w**2 - 3*w - 454
What is the x'th term of 203, 200, 195, 188, 179, 168, 155?
-x**2 + 204
What is the i'th term of 36, 35, 34, 33, 32?
-i + 37
What is the v'th term of 15, 21, 27?
6*v + 9
What is the l'th term of 84, 71, 50, 21, -16?
-4*l**2 - l + 89
What is the u'th term of -32, -70, -112, -158?
-2*u**2 - 32*u + 2
What is the l'th term of 359, 352, 345, 338?
-7*l + 366
What is the f'th term of -459, -919, -1379?
-460*f + 1
What is the c'th term of -159, -262, -363, -462, -559, -654, -747?
c**2 - 106*c - 54
What is the i'th term of -7, -27, -59, -103?
-6*i**2 - 2*i + 1
What is the x'th term of -4597, -4595, -4593?
2*x - 4599
What is the b'th term of -17, -7, 3?
10*b - 27
What is the d'th term of 45, 167, 371, 657, 1025, 1475?
41*d**2 - d + 5
What is the o'th term of 615, 618, 621?
3*o + 612
What is the i'th term of 90, 80, 68, 54, 38?
-i**2 - 7*i + 98
What is the c'th term of 215, 423, 631, 839?
208*c + 7
What is the j'th term of 121, 245, 369, 493, 617, 741?
124*j - 3
What is the a'th term of 3, 1, -19, -69, -161, -307?
-2*a**3 + 3*a**2 + 3*a - 1
What is the t'th term of -27, -32, -41, -54, -71?
-2*t**2 + t - 26
What is the z'th term of -142, -188, -254, -334, -422?
z**3 - 16*z**2 - 5*z - 122
What is the m'th term of -122, -79, -32, 19, 74?
2*m**2 + 37*m - 161
What is the i'th term of 25, 16, 9, 10, 25, 60, 121, 214?
i**3 - 5*i**2 - i + 30
What is the l'th term of 8231, 8230, 8229, 8228?
-l + 8232
What is the a'th term of 16, 78, 238, 544, 1044, 1786?
8*a**3 + a**2 + 3*a + 4
What is the g'th term of 164, 159, 130, 65, -48, -221, -466?
-2*g**3 + 9*g + 157
What is the v'th term of 40, 31, 18, 1?
-2*v**2 - 3*v + 45
What is the d'th term of 7, 25, 57, 103, 163, 237?
7*d**2 - 3*d + 3
What is the a'th term of 2, 11, 18, 23, 26, 27?
-a**2 + 12*a - 9
What is the v'th term of -24, -67, -150, -279, -460, -699, -1002?
-v**3 - 14*v**2 + 6*v - 15
What is the g'th term of 22, 96, 218, 388, 606, 872, 1186?
24*g**2 + 2*g - 4
What is the l'th term of 182, 730, 1642, 2918, 4558?
182*l**2 + 2*l - 2
What is the u'th term of 58, 109, 160, 211, 262?
51*u + 7
What is the t'th term of -48, -97, -146, -195?
-49*t + 1
What is the j'th term of 12832, 12836, 12840, 12844?
4*j + 12828
What is the k'th term of 615, 618, 629, 654, 699, 770, 873, 1014?
k**3 - 2*k**2 + 2*k + 614
What is the c'th term of 28, 52, 80, 112, 148, 188?
2*c**2 + 18*c + 8
What is the a'th term of 45, 32, 19, 6?
-13*a + 58
What is the w'th term of -46, -90, -134, -178, -222, -266?
-44*w - 2
What is the m'th term of 8, 20, 32, 44, 56, 68?
12*m - 4
What is the l'th term of -953, -952, -951?
l - 954
What is the k'th term of -17, -41, -81, -137, -209, -297, -401?
-8*k**2 - 9
What is the p'th term of 145, 182, 257, 382, 569, 830, 1177?
2*p**3 + 7*p**2 + 2*p + 134
What is the d'th term of 24, 111, 256, 459, 720, 1039?
29*d**2 - 5
What is the p'th term of -1219, -1222, -1225, -1228?
-3*p - 1216
What is the x'th term of 60, 237, 538, 969, 1536?
x**3 + 56*x**2 + 2*x + 1
What is the t'th term of 55, 26, -21, -80, -145, -210?
t**3 - 15*t**2 + 9*t + 60
What is the f'th term of -2384, -4767, -7152, -9539, -11928?
-f**2 - 2380*f - 3
What is the d'th term of -656, -1313, -1970, -2627?
-657*d + 1
What is the h'th term of -11, 7, 87, 259, 553, 999?
5*h**3 + h**2 - 20*h + 3
What is the f'th term of -79, -141, -191, -223, -231, -209, -151?
f**3 - 69*f - 11
What is the k'th term of -17, -68, -207, -476, -917?
-7*k**3 - 2*k**2 + 4*k - 12
What is the g'th term of -13, -65, -151, -271?
-17*g**2 - g + 5
What is the l'th term of 27, 186, 609, 1428, 2775, 4782, 7581?
22*l**3 + 5*l
What is the j'th term of 62, 122, 184, 248, 314, 382?
j**2 + 57*j + 4
What is the t'th term of -17, -47, -89, -149, -233?
-t**3 - 23*t + 7
What is the p'th term of 47, 171, 379, 671, 1047, 1507?
42*p**2 - 2*p + 7
What is the y'th term of 126, 236, 346, 456?
110*y + 16
What is the z'th term of -16, -29, -66, -139, -260, -441, -694, -1031?
-2*z**3 + z - 15
What is the z'th term of 929, 925, 909, 875, 817, 729, 605, 439?
-z**3 + 3*z + 927
What is the b'th term of -26, -29, -34, -41, -50, -61, -74?
-b**2 - 25
What is the j'th term of 38, 122, 258, 440, 662, 918, 1202, 1508?
-j**3 + 32*j**2 - 5*j + 12
What is the n'th term of -990, -984, -980, -978, -978, -980, -984?
-n**2 + 9*n - 998
What is the y'th term of 45, 158, 335, 576, 881, 1250, 1683?
32*y**2 + 17*y - 4
What is the q'th term of 13, 28, 51, 82?
4*q**2 + 3*q + 6
What is the r'th term of -90, -180, -270, -360, -450, -540?
-90*r
What is the j'th term of 10, 26, 54, 94, 146, 210, 286?
6*j**2 - 2*j + 6
What is the s'th term of 55, 96, 137, 178, 219, 260?
41*s + 14
What is the i'th term of -98, -90, -82, -74, -66?
8*i - 106
What is the g'th term of 165, 333, 501, 669, 837, 1005?
168*g - 3
What is the c'th term of -140, -127, -106, -77, -40, 5, 58?
4*c**2 + c - 145
What is the m'th term of -27, -27, -37, -63, -111, -187, -297?
-m**3 + m**2 + 4*m - 31
What is the v'th term of -41, -58, -75, -92, -109?
-17*v - 24
What is the j'th term of 95, 189, 283, 377, 471?
94*j + 1
What is the y'th term of 319, 647, 985, 1339, 1715, 2119, 2557?
y**3 - y**2 + 324*y - 5
What is the u'th term of 40, 158, 356, 634, 992, 1430, 1948?
40*u**2 - 2*u + 2
What is the n'th term of -9, -9, -11, -15?
-n**2 + 3*n - 11
What is the x'th term of 91, 439, 1025, 1855, 2935, 4271, 5869?
x**3 + 113*x**2 + 2*x - 25
What is the o'th term of 5416, 5426, 5442, 5464?
3*o**2 + o + 5412
What is the h'th term of -22, -1, 54, 161, 338?
3*h**3 - h**2 + 3*h - 27
What is the w'th term of -35, -105, -181, -263, -351, -445?
-3*w**2 - 61*w + 29
What is the i'th term of 87, 94, 91, 72, 31, -38, -141?
-i**3 + i**2 + 11*i + 76
What is the t'th term of 240, 194, 148, 102, 56, 10?
-46*t + 286
What is the h'th term of -352, -348, -344, -340, -336, -332?
4*h - 356
What is the i'th term of 1491, 1493, 1495, 1497?
2*i + 1489
What is the a'th term of -3, 14, 45, 90, 149?
7*a**2 - 4*a - 6
What is the m'th term of -133, -137, -137, -133, -125, -113, -97?
2*m**2 - 10*m - 125
What is the l'th term of 1385, 1386, 1387, 1388, 1389?
l + 1384
What is the n'th term of -11, -54, -125, -224?
-14*n**2 - n + 4
What is the t'th term of 772, 771, 782, 811, 864, 947, 1066, 1227?
t**3 - 8*t + 779
What is the i'th term of 36, 74, 112?
38*i - 2
What is the y'th term of 1201, 1193, 1185, 1177?
-8*y + 1209
What is the c'th term of -114, -228, -342, -456, -570?
-114*c
What is the f'th term of 267, 272, 281, 294?
2*f**2 - f + 266
What is the c'th term of 54, 72, 116, 198, 330, 524?
2*c**3 + c**2 + c + 50
What is the t'th term of 64, 165, 266, 367, 468?
101*t - 37
What is the d'th term of -112, -114, -116, -118?
-2*d - 110
|
{
"pile_set_name": "DM Mathematics"
}
|
d 15.
-33241.5
-2*-91880
183760
-0.06*0.4728
-0.028368
0.006966 * -11
-0.076626
Multiply -0.3 and 15858.34.
-4757.502
Product of 39357 and 0.14.
5509.98
Product of 0.1 and -747256.
-74725.6
What is the product of 3 and 3.96192?
11.88576
What is the product of 219 and 0.6736?
147.5184
Calculate 242246*-1.
-242246
-1 * 34.2722
-34.2722
What is the product of 1877 and -0.017?
-31.909
Work out -2769 * 0.45.
-1246.05
What is the product of -211 and -61?
12871
Calculate 0.013*-296.
-3.848
What is 6326.804 times -0.4?
-2530.7216
Product of 20.9 and 0.207.
4.3263
-1341 * 12
-16092
-497509 times 1
-497509
What is the product of 21049 and -4?
-84196
Calculate 2.1113*-0.33.
-0.696729
1324*-0.561
-742.764
-13.111*-0.3
3.9333
134406 times -2
-268812
What is 0.13 times 0.05775?
0.0075075
Work out -0.4 * -807.
322.8
-3 * 237.24
-711.72
Multiply -375.303 and -1.
375.303
What is the product of 2737 and -14.76?
-40398.12
Product of 201.606 and -4.
-806.424
-16389 * -7
114723
What is the product of -0.026 and -90.68?
2.35768
Multiply -169509 and 0.5.
-84754.5
Product of 2882.9 and -0.5.
-1441.45
What is the product of -275275 and 14?
-3853850
-4 times -0.7374
2.9496
5*0.06616
0.3308
Multiply -28 and 544.4.
-15243.2
Calculate -19.5426*0.
0
Multiply 69.1 and -3.
-207.3
-1572 times -130
204360
What is -0.4673106 times 1?
-0.4673106
1 * -43763
-43763
Multiply -33790 and -0.05.
1689.5
24362 * 0
0
What is the product of 78 and 326?
25428
What is -121919 times -4?
487676
3.076*0.2
0.6152
Work out 18.7 * -508.
-9499.6
-0.3*-17455
5236.5
What is 24.1 times 1.47?
35.427
Product of -4.9 and 2.132.
-10.4468
22761 times 0.7
15932.7
Product of 0.2 and -3379.5.
-675.9
What is 0.083983 times -0.1?
-0.0083983
Calculate -5*118.97.
-594.85
What is the product of 333781 and 3?
1001343
Calculate 260*-0.1341.
-34.866
What is the product of 567784 and 2?
1135568
What is 41565 times 0.1?
4156.5
-1029.1*-0.414
426.0474
-1155652 times -0.01
11556.52
0.0936 * 4281
400.7016
Work out 6 * -100.7.
-604.2
0.3 times 0.066623
0.0199869
-16344*6
-98064
19929*64
1275456
-14879 * 59
-877861
What is the product of -0.5 and -54.545?
27.2725
Multiply 0.1 and 18.7366.
1.87366
Multiply 44457 and -0.04.
-1778.28
Multiply -19529 and 0.5.
-9764.5
Product of -11 and 1.4053.
-15.4583
-1.25*39348
-49185
-1111300 times 0.2
-222260
Product of -0.10485268 and 0.4.
-0.041941072
-15 times 26.2
-393
Product of 15876 and 2.
31752
What is -10.56 times -3?
31.68
1403 times 16.9
23710.7
Product of -0.1 and 6729.
-672.9
47.4465*-10
-474.465
0.3 * -0.031624
-0.0094872
What is the product of -0.08562 and -93?
7.96266
Work out -0.04295663 * -0.2.
0.008591326
Calculate 0.6*12.22.
7.332
50072 * -5
-250360
What is -0.091161 times -0.3?
0.0273483
-1.94841*-3
5.84523
Multiply -1 and 62.931.
-62.931
Product of -19766 and -55.
1087130
What is the product of -72 and -5.6?
403.2
Work out -6616 * 0.3.
-1984.8
315.2*-1915
-603608
Calculate 39687*0.06.
2381.22
Multiply -346 and -1489.
515194
Work out 47 * -728.
-34216
Multiply -2 and -0.28033.
0.56066
Calculate -0.01734*-0.4.
0.006936
Calculate 4103*0.15.
615.45
-0.8*-0.31667
0.253336
Product of 94.029 and 0.
0
0.1*-58247.7
-5824.77
Multiply -475637 and 0.1.
-47563.7
1620793 * 0.1
162079.3
Multiply -507 and -2278.
1154946
-67.6 * -0.78
52.728
Work out -0.3 * 223.343.
-67.0029
-51.66 times 0.13
-6.7158
Multiply 3 and -14.987.
-44.961
1868 times 0.1
186.8
-274282 times 0.4
-109712.8
Multiply -0.14 and 321345.
-44988.3
Multiply 123726 and -3.
-371178
Product of 6 and 0.74438.
4.46628
Work out -0.674 * 28.
-18.872
-0.003*-0.2018
0.0006054
Product of 2.401 and -31.
-74.431
What is 66 times 1.96?
129.36
Multiply 26193 and 55.
1440615
Work out 0.7 * 2092.
1464.4
-0.4 * -0.09209
0.036836
787928*-0.3
-236378.4
37*799
29563
-5269*2.6
-13699.4
Multiply 0.3345 and -43.
-14.3835
Calculate -12579*0.47.
-5912.13
Calculate 918*-0.1137.
-104.3766
-1095 * 49.8
-54531
-0.406*1622
-658.532
What is the product of -2 and 0.15053?
-0.30106
17.15041*-0.4
-6.860164
-18714 times -0.3
5614.2
Work out 0 * -34283.
0
-156*-0.382
59.592
1.4 times -4238
-5933.2
Multiply -3210 and -265.
850650
Work out 0.155 * 5249.
813.595
What is 1 times 144.928?
144.928
Work out -0.44 * -2038.
896.72
What is the product of 3178 and 151?
479878
Work out 26 * 7.87.
204.62
Calculate 0.5*0.241954.
0.120977
Calculate -4*222256.
-889024
Multiply -47 and -15583.
732401
-16.7*163
-2722.1
Work out 617704 * 0.3.
185311.2
What is -42.696 times -2?
85.392
What is -0.08 times -29178?
2334.24
Multiply 184 and -415.
-76360
Calculate -0.0502*44.
-2.2088
What is 677 times 0.19?
128.63
What is the product of 0.0477433 and 0.5?
0.02387165
6 times -0.0209
-0.1254
What is 25 times -774?
-19350
What is -0.8 times 70223?
-56178.4
What is 171204 times -1?
-171204
5523 * -2
-11046
What is the product of -213996 and -0.5?
106998
Multiply 1.05 and 840.
882
Work out 4 * 8201.
32804
What is the product of 0 and -21367?
0
-0.14478 * 4.2
-0.608076
-0.3*10.5309
-3.15927
-0.065 * 0.6995
-0.0454675
Multiply 0.091046 and 2.5.
0.227615
28 * 5496
153888
Calculate -0.5*-1.8281.
0.91405
0.04 times -567834
-22713.36
Product of -0.2 and 0.1513.
-0.03026
What is 0 times -131.8127?
0
2404 times -447
-1074588
0.5 * 22233
11116.5
What is 0.0366 times -24?
-0.8784
Calculate 593*-7.
-4151
What is 0 times 992976?
0
What is -0.3 times 5558?
-1667.4
Multiply -892008 and -1.
892008
0.3 times 0.09132
0.027396
Product of -0.02 and -767.
15.34
-0.5 * 149905
-74952.5
Work out -3.7 * 1575.
-5827.5
What is 18.067 times -2.9?
-52.3943
17.635 * 0.4
7.054
Multiply -0.6 and -72.93.
43.758
Multiply -382080 and 14.
-5349120
-0.063 * 0.15
-0.00945
What is the product of 8 and 5.3584?
42.8672
What is 1.249 times 2.05?
2.56045
Calculate -2203*0.05.
-110.15
What is 2 times -1740.4?
-3480.8
What is the product of -15 and 18.2?
-273
-0.2265 * -572
129.558
What is 835 times 3296?
2752160
Calculate -0.3*-167058.
50117.4
Multiply -17 and 27299.
-464083
-53 times -2835
150255
Calculate 45421*4.
181684
0*0.511508
0
-0.9 * -12.11429
10.902861
Multiply -330333 and 5.
-1651665
Product of -46204 and -0.2.
9240.8
2.53 times 0.25679
0.6496787
Multiply -0.3 and 0.18435.
-0.055305
Calculate 1.468*-0.2251.
-0.3304468
-434*0.39
-169.26
Calculate -47533*-15.
712995
-28*-1.364
38.192
What is the product of -12 and 3314.58?
-39774.96
129*-28756
-3709524
What is 0.25 times -16557?
-4139.25
4 times -18815
-75260
What is the product of 25 and 1126?
28150
0.2 * 63076
12615.2
Calculate 0.1*148.91.
14.891
-131551 times 0.3
-39465.3
Multiply 64347 and -2.
-128694
-74.2*15
-1113
0.4*0.10698
0.042792
Product of -3 and 0.10502.
-0.31506
Work out -99 * 104.
-10296
-0.0827 times -0.0228
0.00188556
Product of 26 and 789.
20514
-5886 times 0.106
-623.916
Product of -12 and 642.98.
-7715.76
92 times 37
3404
0 * -32736
0
What is 0.09 times 22.04?
1.9836
Work out -0.4 * 424.74.
-169.896
Product of -7 and 3.5289.
-24.7023
Multiply 0.1 and -252344.
-25234.4
Work out -41 * 52.3.
-2144.3
-0.0245737 times -6
0.1474422
Work out -1629823 * 4.
-6519292
-833 * -0.38
316.54
1444*-393
-567492
0.02 times -580
-11.6
0.5433 times -1.4
-0.76062
What is the product of 0.119 and -1.2238?
-0.1456322
Product of -0.3 and 224.276.
-67.2828
-0.34419*0.2
-0.068838
Multiply -214341.8 and -0.4.
85736.72
-1189*-1741
2070049
What is 11975 times 0.074?
886.15
What is the product of 45154 and -0.3?
-13546.2
What is -2671.5 times 0.4?
-1068.6
What is the product of -0.767 and -35?
26.845
0.05 times 0.53325
0.0266625
What is 150622 times -4?
-602488
Work out 3 * 0.25104.
0.75312
Product of -0.047055 and 42.
-1.97631
Product of 0.19434 and -0.67.
-0.1302078
Product of 16 and -543.9.
-8702.4
Calculate -0.18192*4.
-0.72768
-331 times 0.5739
-189.9609
What is 3896 times 0?
0
-1*-284.56
284.56
Multiply 2046.2 and -5.
-10231
Multiply 0.5 and 116789.
58394.5
Product of -20.08 and 24.1.
-483.928
Work out 6137220 * 2.
12274440
Work out -1.2 * 72405.
-86886
-0.1261 times -15
1.8915
-1 times -2.918
2.918
What is -251089 times 3?
-753267
What is the product of 1 and -74256?
-74256
Calculate 23745*6.
142470
Product of 6 and -12259.
-73554
-423 times 5196
-2197908
What is -10.2 times -254?
2590.8
Calculate -127.6757*2.
-255.3514
Product of -1.039252 and 4.
-4.157008
Work
|
{
"pile_set_name": "DM Mathematics"
}
|
0 or 4/3973?
0
Do -2 and -3563091 have different values?
True
Is 0.2 > 1278982?
False
Which is greater: 1 or 8/25065?
1
Is 18825 at most -1.5?
False
Which is greater: 0.084 or -5/594?
0.084
Which is smaller: 0 or -1/814581?
-1/814581
Which is smaller: -200/11 or -0.059?
-200/11
Which is smaller: 370290/17 or 21782?
370290/17
Is 6519/52 at most as big as -2?
False
Which is smaller: 4868 or 75?
75
Which is smaller: -4546 or -222798/49?
-222798/49
Do 0 and 1350/2009 have the same value?
False
Is 19577 greater than 1?
True
Is 396685 less than or equal to 396682?
False
Is 69827 at least as big as 69825?
True
Which is greater: 11181 or 11363?
11363
Which is smaller: -51512 or 2/5?
-51512
Are 42 and 5942/139 nonequal?
True
Is -3988 > -3982?
False
Is -9606/23 > -418?
True
Is 3098 at least 3105?
False
Is 330 smaller than -427?
False
Which is greater: 126 or 19164/151?
19164/151
Is 1/2 less than or equal to 0.09345?
False
Which is bigger: -358 or -368?
-358
Is -2/7 <= -21769?
False
Which is smaller: -120 or -56112/473?
-120
Is -3 at least as big as -2155/733?
False
Which is smaller: 23.174 or 84?
23.174
Which is smaller: 2/9 or 30533?
2/9
Is -111559 equal to -111557?
False
Which is greater: -3/160 or -3077?
-3/160
Which is smaller: -1039 or -108/5?
-1039
Which is greater: 23 or -1051?
23
Is -14/45 at least as big as 261?
False
Is -4.4 < -8247?
False
Is -59 < 3522?
True
Is 1 < 15/5803?
False
Which is greater: -83601 or -83600?
-83600
Which is smaller: -17574/19 or -1?
-17574/19
Is 8/7 != 303?
True
Is -12191 at least -12203?
True
Which is greater: -8/7 or 1758?
1758
Which is greater: 4011619 or 4011618?
4011619
Are -47981 and -47972 non-equal?
True
Is -522 at most 14/31?
True
Which is smaller: 186947 or 186946?
186946
Which is greater: 1 or 2/17557497?
1
Which is bigger: -3.69 or 10?
10
Which is smaller: 33/181 or -1.52?
-1.52
Is 434889 <= 1?
False
Which is bigger: -837616 or -837613?
-837613
Is 1 greater than or equal to -2/108657?
True
Which is greater: 38216 or -69?
38216
Which is smaller: -373 or -42.54?
-373
Is -301746 != -603489/2?
True
Which is bigger: 106197 or 106203?
106203
Are 2 and 185/254 equal?
False
Is -64 not equal to 6704?
True
Which is smaller: 1 or -1/176?
-1/176
Does -2390 = -2389?
False
Is -1 greater than or equal to 4/42137?
False
Which is bigger: -6/265597 or 1?
1
Are 0 and -13649 unequal?
True
Which is bigger: 7506 or -6/5?
7506
Which is greater: 1 or -1/5794806?
1
Which is smaller: -2441 or -2442?
-2442
Which is bigger: -3115 or -171357/55?
-3115
Is 171999 at most 172004?
True
Which is greater: 1043/87 or 12?
12
Do 131224 and 131224 have the same value?
True
Is 8 at most as big as 19.9711?
True
Which is greater: -783220 or -783222?
-783220
Which is smaller: -1 or -12/8203?
-1
Is 13434 equal to 13407?
False
Which is greater: -1/56754 or -1?
-1/56754
Is -41730 equal to -41729?
False
Is 4727 equal to -0.04?
False
Is -3/247202 at least 0?
False
Which is bigger: -6 or -617/86?
-6
Is -790487 at most as big as 0.1?
True
Which is greater: 21159/37 or 571?
21159/37
Is 728.9 greater than 1/28?
True
Is -348086 greater than -348087?
True
Which is smaller: 362 or -7931?
-7931
Is 699 greater than 655?
True
Which is greater: -159456 or -1275639/8?
-1275639/8
Is 22 equal to 4224/197?
False
Which is greater: 18/996157 or 1?
1
Which is greater: -4 or 8837?
8837
Does 0 = -41/5388?
False
Which is smaller: 519 or 1492?
519
Which is greater: 245080 or 245079?
245080
Is -1/5 less than or equal to 15531?
True
Which is smaller: -227235/11 or -20659?
-20659
Which is smaller: -1 or -2/3231857?
-1
Which is greater: 0 or -2/8664607?
0
Which is smaller: 2306 or 2293?
2293
Which is smaller: -1.4 or 28839?
-1.4
Which is greater: 169581 or 169546?
169581
Which is smaller: -1 or -10/6969?
-1
Is 39890 less than 39879?
False
Is -1/15 > -23?
True
Are -32/158551 and 1 non-equal?
True
Is -51557 bigger than -51557?
False
Which is smaller: 1 or 49.1599?
1
Is 670944 greater than or equal to 670941?
True
Is 612759 not equal to 612759?
False
Is 988365 smaller than 988362?
False
Is 1809/32 < 58?
True
Is -50969 > -50994?
True
Which is smaller: 0.308329 or 1?
0.308329
Are 157695/2 and 78847 unequal?
True
Do 10017 and 10018 have different values?
True
Which is smaller: -109 or 42411?
-109
Which is greater: -46202 or -46199?
-46199
Is -2/16149 at most as big as 1?
True
Is 23808 bigger than 452334/19?
True
Are 0.01 and 1273/3 nonequal?
True
Does 2265513/16 = 141596?
False
Is 1 != 31865/6?
True
Are -1 and -22/3545 unequal?
True
Is 1965/3412 >= 2?
False
Which is smaller: -1513 or -1249?
-1513
Which is smaller: 36514 or -3?
-3
Which is smaller: 19 or 2951?
19
Is -150126 < -150123?
True
Which is greater: 11/10 or 7.441?
7.441
Is -2/13 equal to -23705?
False
Is -42069 less than -42069?
False
Which is bigger: 136 or 656?
656
Do -85 and -6635 have the same value?
False
Is -3/32 less than -1?
False
Is 131 greater than or equal to 302?
False
Are -5028 and -5031 nonequal?
True
Do 76940 and 76938 have the same value?
False
Is 42/481 less than -1?
False
Which is smaller: 980159 or 980160?
980159
Are -36 and -9935/283 nonequal?
True
Are -3/968 and 1320 nonequal?
True
Does 6 = 72380?
False
Which is greater: 47/837 or -1?
47/837
Is -1 bigger than 3/400979?
False
Is -1 greater than 4931.6?
False
Which is bigger: 1 or -47/23781?
1
Is -211 > -3217?
True
Which is smaller: -125 or -1215?
-1215
Is -6 at least -718/111?
True
Which is bigger: -41 or -1398/35?
-1398/35
Is -1320379 <= -1320375?
True
Is 0 at least as big as 1744.42?
False
Is 2/7 less than -421501?
False
Which is smaller: 46973 or 46970?
46970
Which is greater: -94 or 94/7?
94/7
Which is bigger: 28/3 or 1942?
1942
Which is bigger: -78/1231 or 0?
0
Which is smaller: 186/385 or 0?
0
Which is smaller: -4/15 or 30/113?
-4/15
Which is bigger: -788694 or -3/8?
-3/8
Which is greater: 4106/103 or 40?
40
Is -21153 at most as big as 14?
True
Are -2659 and -2739 non-equal?
True
Is 16181/35 smaller than -1?
False
Is -372 greater than -26392/71?
False
Which is bigger: -1 or -2/3973541?
-2/3973541
Which is smaller: 0 or 1/75593?
0
Are -2595/91 and -30 equal?
False
Which is smaller: -15547 or 8?
-15547
Are 95 and 7725 nonequal?
True
Which is smaller: -14358/403 or -35?
-14358/403
Which is bigger: 1 or -264/18149?
1
Which is smaller: 9572 or -55?
-55
Which is smaller: -73/4 or 37?
-73/4
Which is bigger: -66/7 or -110?
-66/7
Is -5634 < -5635?
False
Which is greater: 93 or 5714/61?
5714/61
Which is greater: -5 or -363/100?
-363/100
Which is smaller: 0 or 73/285?
0
Is 1374 bigger than 1402?
False
Which is bigger: -21771 or -326551/15?
-326551/15
Which is smaller: 356 or -91?
-91
Do -142/85 and -4/7 have different values?
True
Which is greater: 1/4 or -4965/2?
1/4
Which is smaller: -16.62 or 2/3?
-16.62
Is -10692 at most 500?
True
Are -296879 and -296888 unequal?
True
Do -634 and -391 have the same value?
False
Are -763022 and -763021 equal?
False
Is 178 <= -19/9?
False
Is 2/11 < -151025?
False
Which is greater: -48449 or -96895/2?
-96895/2
Does -48 = -2.066?
False
Do 170063/2 and 85031 have the same value?
False
Which is smaller: 0.3 or 3948?
0.3
Which is bigger: -33399 or -33400?
-33399
Do 258000 and -0.1 have the same value?
False
Are 296333 and 2/7 non-equal?
True
Are 1 and 810/467 nonequal?
True
Which is smaller: -291 or -231?
-291
Is 0 > 13818.582?
False
Which is smaller: -893 or -495?
-893
Which is smaller: -34948 or -34949?
-34949
Is -1 at most -14286?
False
Is 435/208 at least as big as 1?
True
Is 730 at least as big as 6560/9?
True
Do -10/7 and 195/83 have different values?
True
Are -1285387 and -1285386 equal?
False
Is -1 != 3/679400?
True
Is 15/7 smaller than 3/1096?
False
Which is bigger: 1/15 or -725.16?
1/15
Which is bigger: -12315 or -12314?
-12314
Is 0 greater than or equal to 90/16301?
False
Is -522 at least 605?
False
Is -1.0007 greater than -305?
True
Which is smaller: -15563 or -15554?
-15563
Which is smaller: 287753 or -1?
-1
Which is smaller: 3345 or 76?
76
Is 422 bigger than 561?
False
Which is bigger: 7/5 or -1/247452?
7/5
Is -53331 greater than -266654/5?
False
Which is smaller: 105 or 4937/47?
105
Which is smaller: 14/162793 or 0?
0
Is -1/3 at least as big as -229/21?
True
Which is bigger: 30 or 3242/107?
3242/107
Is 1 less th
|
{
"pile_set_name": "DM Mathematics"
}
|
*t for t.
0
Solve -2017*y + 255 = -2032*y for y.
-17
Solve 611*h - 5302 = 197 for h.
9
Solve -1320 = 1879483*b - 1879439*b for b.
-30
Solve 252 + 396 = -36*b for b.
-18
Solve -68*a - 33*a = -41*a + 960 for a.
-16
Solve -39*b - 291 = -8 + 302 for b.
-15
Solve 180*j + 1381 + 419 = 0 for j.
-10
Solve 18*j + 12 = 282 for j.
15
Solve 561*x - 115*x + 345*x = -12656 for x.
-16
Solve -1251*w + 19 = -614*w - 618*w for w.
1
Solve -18*t = -150 + 114 for t.
2
Solve 0 = 120*n - 19*n - 27*n - 518 for n.
7
Solve 47*j = -115 + 10 - 553 for j.
-14
Solve 1068 - 3103 = -185*t for t.
11
Solve 0 = -182*s - 275 - 271 for s.
-3
Solve 64*d + 1253 - 1445 = 0 for d.
3
Solve 17*d = -36*d - 6*d + 1003 for d.
17
Solve 73*r + 104*r + 180*r - 11781 = 0 for r.
33
Solve 0 = -82*a - 1752 + 1506 for a.
-3
Solve -596*c + 1199 + 1573 = -134*c for c.
6
Solve -59*o - 44*o - 308 = -26*o for o.
-4
Solve 23*q = -44*q + 20*q + 282 for q.
6
Solve 345*s - 11656 + 1884 = -4*s for s.
28
Solve 34233 + 16327 = 2160*v + 9520 for v.
19
Solve 51*y + 7451 - 8675 = 0 for y.
24
Solve 105*o - 1546 + 710 = -2096 for o.
-12
Solve 0 = -41*s + 161 + 413 for s.
14
Solve -94*o - 114 - 1312 = 1206 for o.
-28
Solve 92*p - 1170 = -161*p + 1613 for p.
11
Solve 0 = -350*b - 553*b + 11739 for b.
13
Solve 0 = -100*i + 140 + 60 for i.
2
Solve 70*a - 1647 + 597 = 0 for a.
15
Solve 12*c - c - 644 = -35*c for c.
14
Solve 61*i + 118 - 640 = 3*i for i.
9
Solve 1493*f + 8 = 1489*f for f.
-2
Solve 25 = -35*t + 58 - 68 for t.
-1
Solve -6569*q - 12037 = -6866*q - 3127 for q.
30
Solve -4*j - 10 - 14 = -10*j for j.
4
Solve 84*s = 167*s - 57*s + 468 for s.
-18
Solve -10 - 1254 = 296*y + 20*y for y.
-4
Solve 288*v = -340*v for v.
0
Solve -2534*u - 207 = -2511*u for u.
-9
Solve 18968*x = 18914*x - 756 for x.
-14
Solve 34355 = 31*s + 34572 for s.
-7
Solve 5*b - b + 2*b = -54 for b.
-9
Solve -289*a - 1440 - 2018 = -23*a for a.
-13
Solve -3983*u + 3997*u + 140 = 0 for u.
-10
Solve -38*x - 81*x + 1017 = -6*x for x.
9
Solve 40 = -3228*d + 3214*d - 72 for d.
-8
Solve -131 - 201 + 10 = -23*p for p.
14
Solve 0 = -3312*a + 3056*a - 7936 for a.
-31
Solve 352 - 840 = -12*s - 344 for s.
12
Solve 26*x - 27*x + 11*x = 160 for x.
16
Solve 3518*m = 3509*m + 27 for m.
3
Solve 0 = -77*q + 1464 - 463 for q.
13
Solve 38*w + 14*w - 1030 = -51*w for w.
10
Solve 1900*h = 1894*h + 24 for h.
4
Solve -1239*w + 202*w = -3121 + 9343 for w.
-6
Solve -s + 60 = 48 for s.
12
Solve 62718*r - 115 = 62713*r for r.
23
Solve 9*d - 2*d = d - 6 for d.
-1
Solve -9369*v - 69 = -9346*v for v.
-3
Solve 28*i = 18*i + 25*i - 165 for i.
11
Solve -50*g + 7989 = 7289 for g.
14
Solve 65*k - 35*k - 420 = 0 for k.
14
Solve -49*p = -72 + 758 for p.
-14
Solve 2*q = -7 + 15 + 6 for q.
7
Solve 55*f + 187 + 143 = 0 for f.
-6
Solve -1287 + 5486 = -427*d + 180*d for d.
-17
Solve 21*b + 280 + 450 = -52*b for b.
-10
Solve 0 = -57*q - 967 + 283 for q.
-12
Solve 19*j + 935 = 1220 for j.
15
Solve 21294 = -364*y - 182*y for y.
-39
Solve -9*s - 231 = -321 for s.
10
Solve -4495 = -13*r - 4339 for r.
12
Solve -1735*a + 938 = -1601*a for a.
7
Solve -194*r = -257*r - 1575 for r.
-25
Solve -1523 = 240*p + 877 for p.
-10
Solve 729362*f + 288 = 729314*f for f.
-6
Solve -9 = -77*d - 16*d - 660 for d.
-7
Solve -48*s + 141 - 336 = -147 for s.
-1
Solve 51*v - 23*v + 308 = 0 for v.
-11
Solve 4*d - 28*d - 4908 = -842*d for d.
6
Solve -3426*c = -3434*c - 80 for c.
-10
Solve -55*h = 50*h - 100*h - 30 for h.
6
Solve -847 + 190 + 228 = -39*i for i.
11
Solve 99*t + 252 = t + 14*t for t.
-3
Solve 357 - 142 = -43*r for r.
-5
Solve -646*c = -620*c for c.
0
Solve 1790 = 559*n - 5477 for n.
13
Solve 24*b - 1377 = 58*b - 115*b for b.
17
Solve 165*l - 360 = -2010 for l.
-10
Solve 102*l + 286 + 122 = 0 for l.
-4
Solve -14*w + 22 = -48 for w.
5
Solve -307 - 2447 = -306*q for q.
9
Solve 33*u + 9*u = 82 + 2 for u.
2
Solve 6*q - 297 = -21*q for q.
11
Solve 0 = 507*v + 1520 + 1015 for v.
-5
Solve -192*r - 384 - 318 - 66 = 0 for r.
-4
Solve 1991*j - 1961*j = 0 for j.
0
Solve 7299*w - 7320*w + 546 = 0 for w.
26
Solve -7*i - 125 = -32*i for i.
5
Solve -9678 - 8214 = 639*a for a.
-28
Solve 8226 + 7874 = 805*n for n.
20
Solve 0 = 383*j - 404*j + 336 for j.
16
Solve -15*g - 71*g + 2496 = 690 for g.
21
Solve -9656*j - 40 = -9666*j for j.
4
Solve -804 = -2*y - 11*y - 960 for y.
-12
Solve -13*t + 352 - 613 = -339 for t.
6
Solve -359*u - 345 = 2886 for u.
-9
Solve 46*k = 110*k - 309 - 587 for k.
14
Solve 5*z - 5587 + 5582 = 0 for z.
1
Solve 19*j = -49*j - 2*j + 630 for j.
9
Solve 285 + 495 = 65*d for d.
12
Solve -3277*l = -3280*l + 36 for l.
12
Solve -2*o + 7 = 8*o + 77 for o.
-7
Solve 17*b + 29*b = 2*b + 616 for b.
14
Solve -254*p - 60 = -234*p for p.
-3
Solve 134*v = 136*v + 28 for v.
-14
Solve -154*f + 825*f = 1129 + 21014 for f.
33
Solve 30*c = 107*c + 693 for c.
-9
Solve 0 = -b + 40 + 28 - 86 for b.
-18
Solve 2256 = -834*h + 740*h for h.
-24
Solve 99 - 47 = 3*a + 37 for a.
5
Solve 0 = -199*a + 191*a - 48 for a.
-6
Solve 321*y - 63*y + 7800 - 3156 = 0 for y.
-18
Solve 40*z = -61*z - 2020 for z.
-20
Solve 159*r = 11*r + 1332 for r.
9
Solve -2*g - 4 + 9 = -7 for g.
6
Solve 11*o - 84074 = -84074 for o.
0
Solve 91 = 29*y - 141 for y.
8
Solve 3124*p + 2236 = 2932*p - 2180 for p.
-23
Solve 187 + 269 = 33*a + 81*a for a.
4
Solve 114*c + 776 - 1157 = 2241 for c.
23
Solve -37*y + 190 + 128 = -52 for y.
10
Solve 157 = 233*m - 292 - 17 for m.
2
Solve -29*r - 4578 = -4288 for r.
-10
Solve -7*w + 20882 - 20945 = 0 for w.
-9
Solve -11*z + 12966 = 13076 for z.
-10
Solve -122*h = -71*h - 65*h - 448 for h.
-32
Solve -12*i + 33*i + 27*i = 624 for i.
13
Solve 39*b - 369*b + 4689 = 69 for b.
14
Solve 0 = -25*n + 1230 - 1105 for n.
5
Solve -49 = -34*v + 27*v for v.
7
Solve -33879*r + 33886*r + 91 = 0 for r.
-13
Solve 87 = -53*d - 107 - 177 for d.
-7
Solve 610*i + 935 = -9866 - 3839 for i.
-24
Solve 194*s - 1019 + 3210 = -119*s for s.
-7
Solve 1036*l - 1014*l - 66 = 0 for l.
3
Solve -168*h + 820 = -1028 for h.
11
Solve 1032 = 87*a + 42*a for a.
8
Solve -14*a = 32 - 29 + 67 for a.
-5
Solve 296*t - 910 = -614*t for t.
1
Solve -58*b + 45 = -39*b - 34*b for b.
-3
Solve -272 = 24*m - 56 for m.
-9
Solve -5018*m = -5049*m - 589 for m.
-19
Solve 21*t + 47*t = -13*t + 810 for t.
10
Solve -4*w - w = 12*w - 255 for w.
15
Solve 844*u - 749*u - 855 = 0 for u.
9
Solve 2*s - 17*s + 0*s = 30 for s.
-2
Solve -1960*x + 3934*x = 1969*x + 145 for x.
29
Solve -703*f + 25180 - 7353 = -6075 for f.
34
Solve 150*l - 58 = 140*l + 2 for l.
6
Solve 123741*b = 123774*b - 330 for b.
10
Solve -8*w + 19*w = -27*w - 494 for w.
-13
Solve -38*z + 353 + 221 = 3*z for z.
14
Solve 115 = -5*k + 105 for k.
-2
Solve -382 = -25*k - 21*k - 60 for k.
7
Solve 5757 = 133*p + 170*p for p.
19
Solve 317*k = 304*k - 104 for k.
-8
Solve 704*x = -14921 - 2679 for x.
-25
Solve 0 = 29*f + 259 + 140 + 239 for f.
-22
Solve -166 = -87*x - 26 + 34 for x.
2
Solve 11*m - 7*m + 96 = -2*m for m.
-16
Solve 0 = 204*q - 390 + 1153 + 665 for q.
-7
Solve -134 - 1316 = -145*k for k.
10
Solve -48 = -1503*z + 1491*z for z.
4
Solve 413*o + 376 = 366*o for o.
-8
Solve 58*h + 34*h - 479 = 1269 for h.
19
Solve -46 = 253*c + 490 - 30 for c.
-2
Solve 14*h + 648 = 564 for h.
-6
Solve 7*j - 12*j - 4*j = -72 for j.
8
Solve -155*o = 361 + 104 for o.
-3
Solve 12*h = 37*h + 32*h + 285 for h.
-5
Solve 18027*a - 18040*a - 156 = 0 for a.
-12
Solve -192 = -19*x + 207 for x.
21
Solve -52610 = -8*h - 7*h - 52820 for h.
-14
Solve 0 = -8*l + 259*l - 264 - 238 for l.
2
Solve -3279*z + 2871 = -3180*z for z.
29
Solve -38 - 15 = 231*s - 53 for s.
0
Solve -183*y + 115 = 82*y + 645 for y.
-2
Solve -960 = 217*t + 1861 for t.
-13
Solve -25*o = -0*o - 200 for o.
8
Solve -593*o + 9804 = -927 - 1129 for o.
20
Solve -470 = -10*w - 71*w + 178 for w.
8
Solve -22*y - 4 + 23 = -47 for y.
3
Solve -19*d - 24 = -328 for d.
16
Solve 65*k = -106*k + 809 + 1072 for k.
11
Solve 802 + 773 = -35*a + 595 for a.
-28
Solve -35*y - 1380 = -49*y - 262*y for y.
5
Solve 26*g - 795 = -3*g - 24*g for g.
15
Solve 265*a + 504 = 229*a for a.
-14
Solve -168*q - 1 = 298 + 541 for q.
-5
Solve 7*r - 2 = 9*r - 0*r for r.
-1
Solve -107*o + 20*o = 151 + 23 for o.
-2
Solve -61*n = 123*n - 108*n + 1748 for n.
-23
Solve 44*d + 42 = 1714 for d.
38
Solve -31*c + 52 - 52 = 0 for
|
{
"pile_set_name": "DM Mathematics"
}
|
s.
-2
Express (g**2 + g**2 - 3*g**2)*(-1249*g - 181*g - 3263*g) as j + i*g**3 + n*g**2 + m*g and give i.
4693
Rearrange -2*l - 4*l + l + (0*l - l + 0*l)*(-2 + 0 + 0) + (19*l - 97*l - 2*l - 113*l + 25*l)*(1 - 3 - 3) to the form i + n*l and give n.
837
Rearrange 4*s**3 - s**3 - s**3 + (2 - s - 2)*(s**2 + s**2 - 3*s**2) - 973*s**2 - 56*s**3 - 21*s + 975*s**2 - 83*s**3 to z*s**2 + f*s + m + q*s**3 and give f.
-21
Rearrange -117*h**2 + 12 + 24*h**2 + 52*h**2 - 161*h + 24*h**2 + 18*h**2 to the form m*h**2 + o*h + g and give o.
-161
Express -4 + 58*g**2 + 7*g**4 - 1 + 5 - 33*g**2 + 2*g as c*g + s*g**2 + r + a*g**4 + y*g**3 and give r.
0
Rearrange -1 + 21*a + 4*a**3 + 24*a + 23*a**2 - 17*a**2 - 33*a + 0 to the form w*a**2 + f*a + b + n*a**3 and give w.
6
Express -1584*z**2 + 1240 + 143 + 1583*z**2 - 2*z as u*z + m + g*z**2 and give u.
-2
Rearrange 511*l + 87 - 83 - l**3 + 2*l**3 + 382*l + l**3 to h*l**2 + y*l + b*l**3 + a and give b.
2
Rearrange -1 + u**2 - u - 5681*u**3 - 1 + 2*u**4 + 5679*u**3 to the form y*u + f*u**4 + d*u**3 + t*u**2 + p and give y.
-1
Express -477*v**3 + 12137 - 12136 - 144*v**3 + v in the form q + n*v**3 + f*v**2 + i*v and give n.
-621
Express 1 + 77*s**3 + 744*s**2 - 149*s**3 + 0 + 2*s - 22*s**2 - s**4 + 73*s**3 as p*s**3 + l*s**2 + m + a*s**4 + y*s and give l.
722
Rearrange (-385 - 34 + i - 265)*(-2*i + 3*i + 0*i) to q + x*i + v*i**2 and give v.
1
Rearrange 65011*m**4 + 2279*m - 65013*m**4 - m**3 + 0*m**3 + 3*m**2 + 1 to the form l*m**3 + i*m**2 + x*m + k + s*m**4 and give i.
3
Rearrange -52*p - 17*p**2 - 14*p**2 - 5 + 28*p + 57*p to l*p**2 + o*p + w and give l.
-31
Rearrange (1222*n + 2617*n + 93*n + (-3*n + 2*n + 2*n)*(-3 + 6 - 4))*(0 + 0 - 2*n) to the form r*n + p + l*n**2 and give l.
-7862
Rearrange -14 - t**3 - 8*t**4 - t + 18*t + 3 + 14 to m + h*t + a*t**3 + q*t**2 + y*t**4 and give y.
-8
Rearrange (-3*o**3 + 3*o**3 - 3*o**3)*(-374 + 129 - 145 - 651 - 644) to the form k*o + c + w*o**2 + p*o**3 and give p.
5055
Express -72 + 127*z**2 - z**3 + 74*z**2 - 64*z**2 + 58*z**2 + 70 in the form i*z**3 + f + u*z + o*z**2 and give u.
0
Express -4 + 1 + 11*x**4 - 4*x + 12 - x**3 - 24 + 2 in the form w*x**2 + p + r*x**4 + c*x + n*x**3 and give c.
-4
Rearrange -6*u**3 - 50*u - 6*u**2 + 4 + 47*u + 5*u**3 + 2*u**3 to n*u**2 + s*u + g + k*u**3 and give g.
4
Rearrange ((2 + 2 - 5)*(j + 1 - 1) + j - 2*j + 0*j)*((35 - 132 - 12)*(j - 4*j - j) + 3*j + 2 - 2) to v*j**2 + m + a*j and give v.
-878
Rearrange 1669*k + 2 + 1709*k - 3426*k - 31 + 31 - 11*k + (0 - 1 + 0)*(0 - 2*k + 0) + 2*k + 1 - 1 to u*k + p and give p.
2
Express -1296 + c**3 - 337*c**4 - 2*c + 2584 - 1288 + 2345*c**4 in the form z + u*c**4 + w*c**2 + a*c + m*c**3 and give a.
-2
Express ((0 - o**2 + 0)*(-5*o**2 + o**2 + 3*o**2) + 7*o**4 - 13*o**3 + 13*o**3)*(81 + 99 + 31)*(-1 - 5 + 4) as r + a*o**4 + c*o**3 + m*o**2 + q*o and give a.
-3376
Express (-4*c**2 + c**2 + c**2)*(-5 + 0 - 6) + 3*c**2 - c**2 + 0*c**2 + 168*c**2 - 313*c**2 - 695*c**2 in the form l*c**2 + f + m*c and give f.
0
Express (2*n + 3*n - 6*n)*((-6*n**2 - 7*n**2 - n**2)*(-2 - 5 + 2) + (3*n - 5*n + 3*n)*(62 + 68 + 327*n - 128)) in the form q*n + p*n**3 + x + d*n**2 and give p.
-397
Rearrange (914*q + 930*q + 369*q + 1082*q)*(-4*q + 1 + q - q + (0*q + q - 2*q)*(-6 + 4 - 1)) to the form s*q**2 + z + h*q and give s.
-3295
Express -111*m**3 + 4*m**2 - 3*m - m**2 - 20*m**3 + 5*m in the form z*m + w + p*m**3 + c*m**2 and give z.
2
Express 2*y**2 + 0*y**2 - 4*y**2 + (-1273*y - 9542 + 9542)*(3*y + y - 11*y) as z*y + k + r*y**2 and give r.
8909
Rearrange 2 + 1899*l + 3*l**3 - 3734*l + 1896*l to n*l**3 + z*l**2 + h*l + j and give h.
61
Express -8 - 25 + 5 - 1293*n**3 + 1248*n**3 in the form u + c*n + r*n**2 + g*n**3 and give g.
-45
Rearrange -22739 + 371*s + 22739 to c + k*s and give k.
371
Rearrange (-3 - 1 + 2 + (2 - 4 + 4)*(0 - 5 + 4))*(1230346 - 1230346 - 929*f**3) to j*f**2 + x*f + b + s*f**3 and give s.
3716
Rearrange -16523*l - 4249 - 4248 + 8497 to the form g + w*l and give w.
-16523
Express (23*n + 28*n + 7*n)*(1 - 1 - 2)*(-6 + 2 + 3)*(-9*n + 22*n + 5*n) in the form t + z*n + l*n**2 and give z.
0
Express -1560*v**2 + 728*v**2 - 7297*v**2 in the form w*v + c*v**2 + i and give c.
-8129
Rearrange -176*c**4 + 58*c - 2*c**3 - 124*c + 205*c**4 + 64*c + 2 + c**2 to b*c**2 + w*c**3 + u*c + y + o*c**4 and give w.
-2
Express (23 + 33 + 619)*(-2*h + h + 0*h) + 0*h - 7*h + 0*h in the form p*h + t and give p.
-682
Rearrange -120*o**4 - 525*o**3 + 526*o**3 + 5 - 4*o**2 + 0 - 2 to g + v*o**4 + b*o**3 + n*o + z*o**2 and give b.
1
Rearrange -29773 + 14887 - 5635*b + 14886 to n*b + m and give n.
-5635
Express ((2*c - 5*c - 2*c)*(-7*c - 14*c - 5*c) + 4*c**2 - 178*c + 178*c)*(1 + 3 - 2)*(6 + 0 - 5) in the form m*c**2 + z + x*c and give m.
268
Rearrange -56 + 124*o**3 - 37*o**3 + 2305*o - 2305*o to x + m*o**2 + n*o**3 + c*o and give x.
-56
Express -94*r**2 + 122 - 113*r**2 + 203*r**2 as j + d*r + c*r**2 and give c.
-4
Express 17 + 4*p + 3*p**4 - 21*p**3 - 2*p**2 - 6 - 14 - 8 + 19*p**3 as i*p + g*p**4 + q + x*p**2 + j*p**3 and give x.
-2
Rearrange (j**2 + 0*j**2 - 2*j**2)*(-173*j**2 - 205*j + 206*j - 651*j**2) to the form t*j**2 + q + r*j + o*j**3 + m*j**4 and give m.
824
Express -1 - 11494*x**4 + 9389*x + 11493*x**4 - 2523*x in the form l*x**3 + s*x**2 + c + o*x + r*x**4 and give o.
6866
Rearrange (0*n**2 + 4*n**2 - 3*n**2)*(-836 + 409 + 4967 + 928 + 19353 + 7895) to w*n + v*n**2 + u and give v.
32716
Express (-77759 + 77759 - 807*u)*(0*u - 6*u + 5*u)*(2 + 2 + 1) in the form t + l*u + o*u**2 and give o.
4035
Rearrange -793*n**3 + 0*n**2 + 2*n**2 + 393*n**3 - n**2 + 388*n**3 + 1 + 69*n to the form w*n**3 + z*n + h + g*n**2 and give h.
1
Express 3*o**3 - 427*o + 10631140*o**2 - 10631140*o**2 + (-4*o**2 + 3*o**2 + 3*o**2)*(-3*o + 2*o + 2*o) as v*o**2 + z*o + t + x*o**3 and give x.
5
Express -373*h**2 - 51*h**2 - 3 + 5 - 169*h**2 + 6*h as q*h + x + s*h**2 and give s.
-593
Express (-2 + 0 + 0)*(4 + h - 4)*(-15806 - 18752 - 11261) in the form a + t*h and give t.
91638
Rearrange -231 + 68 - 1342*s + 96 + 64 to the form v*s + i and give i.
-3
Express (-y**4 - 2*y**4 + 4*y**4)*(-14775 - 27051 - 12717 - 11119 + 12056 - 4059) in the form s*y**2 + r + f*y**4 + o*y**3 + p*y and give f.
-57665
Express (38 - 38 - 26*d)*(-5*d**3 + 4*d**3 + 3*d**3) + (-4*d + 4*d - 4*d**3)*(2*d - 2*d - 2*d) in the form i + z*d**2 + y*d**4 + s*d + b*d**3 and give y.
-44
Rearrange -82296*h - 23823*h - 85660*h + 1 - 110164*h - 1 + (-2 + 2 - 2*h)*(1 + 4 - 6) to n + r*h and give r.
-301941
Express (-1 + 1 - 1)*(-310*b + 88*b + 136*b) + 45 - 8*b - 45 in the form g + n*b and give g.
0
Express (-27*v**2 - 3 - 5 - 15 + 14)*(-4*v**2 + 843 - 843) in the form n + i*v + r*v**4 + o*v**3 + x*v**2 and give x.
36
Rearrange -1269662 + 1269662 + l**3 + 1026*l + 348*l to the form h + x*l**3 + b*l + a*l**2 and give x.
1
Express -2*f**2 + 301 + 1673*f**3 - 3326*f**3 + 1651*f**3 + f in the form o*f**2 + q*f + p*f**3 + l and give l.
301
Express -35*l - 14*l + 42*l + 5 + (-2*l + l + 2*l)*(-5 + 0 + 6) - 3*l - 2*l + 6*l in the form m + s*l and give m.
5
Express -i**2 + 60*i + 8 - 18*i - 2 + 2 - 15 in the form r*i**2 + p*i + k and give r.
-1
Rearrange (0*r - 2*r - r)*((-4*r + r + r)*(-4 - 1 + 3) - 8 - 2*r + 8 - 5*r + 5*r + 7*r)*(-5*r + r + r) to y*r**3 + a*r + g*r**2 + f and give y.
81
Express (-2*o - 8*o - 2 + 12*o)*(-5873 + 5873 - 766*o) in the form q*o + y + w*o**2 and give q.
1532
Rearrange 239*y**3 + 5*y**3 - 2*y**2 - 22*y**3 - 2*y + 34*y**3 to b*y**3 + c*y**2 + q*y + s and give c.
-2
Rearrange (-93*n**3 + 39*n**3 - 125*n**3 + (-2*n + 3*n - 4*n)*(-1 + 1 - 3*n**2))*(-3 + 4 + 0)*(-2 - 2 + 3) to the form j*n**2 + w*n + m + u*n**3 and give u.
170
Express 166*t**3 - 243*t**3 - t + 1276*t**3 + 557*t**3 as x*t**3 + w*t**2 + c + d*t and give d.
-1
Rearrange (2664*b - 2664*b + 1386*b**3)*(-3*b - 2 + 2*b + 0*b) to the form t + a*b**4 + z*b**3 + r*b + x*b**2 and give a.
-1386
Rearrange -1 + 1 - 2*n**2 - 2807*n**2 + 1204*n**2 - 3096*n**2 + 2*n**2 - n**2 - 2*n**2 + (-3*n + 2*n + 2*n)*(-2*n + 0 + 0) to l*n**2 + p*n + s and give l.
-4704
Express (-t**2 + 5*t**2 - 2*t**2)*(0*t + 0*t - t)*(1687*t - 3351*t - 4975 + 1662*t) in the form v*t**2 + j*t**3 + h + r*t + d*t**4 and give j.
9950
Express -2237*p + 4522*
|
{
"pile_set_name": "DM Mathematics"
}
|
= 83 - 29. List the prime factors of h.
2, 3
Let i = 3 + -41. Let r = i + 135. List the prime factors of r.
97
Suppose -436*j = -444*j + 6728. What are the prime factors of j?
29
Let r(q) = -q**2 + 17*q - 12. Let a be r(16). Suppose -2*m + 711 = 3*o, 458 = 4*o + a*m - 494. List the prime factors of o.
5, 47
Let q be (-1 + 0)/(3/(-21)). Suppose 0 = 4*z - 5 - q. Suppose z = t, 0*g = g - 4*t - 9. What are the prime factors of g?
3, 7
Suppose -5*p - 16 = -2*i, 0 = i + i - 4*p - 14. Suppose -4*f + i*f + 35 = 0. Let g = 63 - f. What are the prime factors of g?
2, 7
Let w = 791 + -410. What are the prime factors of w?
3, 127
Let n be (-2)/9 + 1238/(-18). Let w = 99 + n. What are the prime factors of w/(-4)*8/(-5)?
2, 3
Let n be 3/(-1*3/(-81)). Let h = n - 40. What are the prime factors of h?
41
Suppose 0 = -3*o + 9, 4*o = 7*q - 11*q + 3996. What are the prime factors of q?
2, 3, 83
Suppose -5050 - 54 = -11*k. List the prime factors of k.
2, 29
Let r = -20 - -88. Suppose -r = 13*n - 9*n. Let i = 4 - n. What are the prime factors of i?
3, 7
Suppose 10*d - 15*d + 50 = 0. Suppose -d*f - 3*v + 393 = -5*f, -5*f = 5*v - 395. List the prime factors of f.
2, 3, 13
Let h(w) = 4*w - 25. What are the prime factors of h(29)?
7, 13
Suppose -44*h - 4*h + 90000 = 0. What are the prime factors of h?
3, 5
Let i = -402 - -1101. List the prime factors of i.
3, 233
Suppose 43 = 3*r - 5*t, 37 = 4*r - 2*r + 5*t. Suppose -4*s + r = -0*s. Suppose n - 76 = -5*g, g = -s*g - 2*n + 72. List the prime factors of g.
2
Suppose 0 = -2*o + 2*d - 10, 3 = -3*o + d - 6. Let g be 228/o*(-18)/27. Let h = g - 45. What are the prime factors of h?
31
Let a be 0/(-3) + 0 + 26. Suppose 220 = 3*d - a. What are the prime factors of d?
2, 41
Let d(t) = t**3 + 6*t**2 - 2*t - 3. Let z be d(-6). Suppose u + z = 49. List the prime factors of u.
2, 5
Suppose 5*t = 2 - 42. Let b(g) = -g**2 - 10*g - 16. Let h be b(t). Suppose 4*c + 3*x - 31 = 0, 0*c - 5*c - 3*x + 38 = h. List the prime factors of c.
7
Let d(m) = -m**3 + 20*m**2 + 21*m + 4. Let r be d(21). Suppose 0*z + 114 = 2*z - r*s, -s = -5*z + 285. What are the prime factors of z?
3, 19
Suppose -7*n + 1450 = -4304. List the prime factors of n.
2, 3, 137
Suppose -78*z - 2464 = -82*z. What are the prime factors of z?
2, 7, 11
Let d = -50 - -76. Suppose -d = -3*y + 64. List the prime factors of y.
2, 3, 5
Let h(j) = 28*j**2. Suppose p + 5*c = 2*c + 10, -3*p = -4*c + 9. List the prime factors of h(p).
2, 7
Let w(t) be the first derivative of 38*t**3/3 - t**2 + 2*t - 1. Let x be -1*(-4 - (-15)/5). What are the prime factors of w(x)?
2, 19
Suppose u - 5*l = 935, 2*u + 5*l - 889 = 981. List the prime factors of u.
5, 11, 17
Suppose -1246 = -5*q - 236. List the prime factors of q.
2, 101
What are the prime factors of ((-1 - -1) + 3)/(21/6181)?
883
Let f be -1 + 17 + 2*1. Let v = 30 + -42. Let t = v + f. What are the prime factors of t?
2, 3
Suppose -5*l - 3*b + 16 = 0, 2*b = -l - b - 4. Suppose -2*o - o = -15, -5*o = -l*v + 20. List the prime factors of (1 + v)*2/4.
5
Suppose 0 = -4*d - 3*i + 5*i + 20, -2*d - 4*i + 20 = 0. Suppose -2*r = -2*g + 748, -2*r + d*r + g + 1506 = 0. List the prime factors of r/(-16) - 1/(-2).
2, 3
List the prime factors of (576/(-112))/18 - (-50964)/14.
2, 5, 7, 13
Let t be (-600)/(-156) - (0 + 2/(-13)). Suppose -404 = -2*w + t*z, -2*z - 394 = -2*w - 0*w. List the prime factors of w.
2, 3
Suppose 17*w + 10316 - 66382 = 0. List the prime factors of w.
2, 17, 97
Let l be -2*5*(-7 + 6). Let g(u) = -22*u + 5. Let v be g(-7). Suppose 5*j + 4*d = 151, l*j - 5*j = 4*d + v. List the prime factors of j.
31
Suppose 0 = -4*c - 20, f + 4*f + 5*c = 16260. List the prime factors of f.
3257
Suppose -3*j - 7*y + 1319 = -2*y, -4*j + 1812 = -4*y. What are the prime factors of j?
2, 7
Suppose 120 = 4*f + 516. Let c = -9 - f. List the prime factors of (-844)/(-30) - 12/c.
2, 7
Suppose 2*l + 57 = -5*u, -3*l - 88 = 6*u - u. Let f = 37 + l. What are the prime factors of f?
2, 3
What are the prime factors of (-8)/(-4) + (1210 - (-1 - 4))?
1217
Suppose 3007 = 3*r + u, 8*u - 7*u + 1009 = r. What are the prime factors of r?
2, 251
Suppose -4*l + 34 = 14. Suppose -n = l*n - 486. What are the prime factors of n?
3
What are the prime factors of (-3768)/(-48) + (-1 + -1)/(-4)?
79
Let b = 61 - -584. What are the prime factors of b?
3, 5, 43
What are the prime factors of -4 - (-665)/10*2?
3, 43
Let d be (-16)/5*30/(-6). Let m(q) = -q**2 - 8*q + 7. Let s be m(-9). Let b = d + s. List the prime factors of b.
2, 7
Suppose 0 = 5*i + 3*f - 0*f - 115, 2*i + 3*f - 55 = 0. List the prime factors of i.
2, 5
Let w = 5 + 6. Let x(m) = -m + 21. List the prime factors of x(w).
2, 5
Let l(b) be the first derivative of b**4/4 - b**2 + 4*b + 56. Let w = -2 + 5. What are the prime factors of l(w)?
5
What are the prime factors of ((-6)/(-4))/(87/31030)?
5, 107
Let t(q) = -15*q - 16. Let d(o) = 8*o + 8. Let m(c) = -5*d(c) - 2*t(c). Let s be (42/63)/((-2)/15). List the prime factors of m(s).
2, 3, 7
Let l(n) = n**2 - 3*n - 14. List the prime factors of l(-17).
2, 163
What are the prime factors of (-3 - -11) + 1331 + -5?
2, 23, 29
Suppose -5*z - 15 = 0, -3*j + 4 = -5*z - 2. Let y(l) = 13*l**2 + 4*l - 9. List the prime factors of y(j).
2, 3
Let j be 2 + -4*1*(-3)/6. Suppose i + 5*b + 998 = 5*i, 0 = j*i + b - 1010. List the prime factors of i.
2, 3, 7
Suppose 3*l - 11 = -4*g, 2*g - 3*l - 5 - 14 = 0. Suppose -5*v + r + 601 = 0, r - 489 - 110 = -g*v. List the prime factors of v.
2, 3, 5
Suppose 0*y + 2*y + 8 = 0, -3*m + 4*y + 37 = 0. Let a = -5 + m. Suppose 0 = a*i - 100 + 14. What are the prime factors of i?
43
Let r(v) = 183*v**2 - 11*v - 46. What are the prime factors of r(-3)?
2, 19, 43
Let r(u) = 2*u**2 + 22*u - 10. Let j be r(-13). What are the prime factors of 54/63*5*j?
2, 3, 5
Let r be (-3 - -2) + (-120)/(-1). Suppose -7*u + 3*c + 237 = -2*u, r = 3*u + 4*c. List the prime factors of (-205)/(-9) - (-10)/u.
23
Suppose -3*d + 6073 = 14*r - 9*r, -2*d + r = -4053. What are the prime factors of d?
2, 1013
What are the prime factors of 3/(30149/3766 - 8)?
2, 269
Suppose -3*x - 4 = -w - 11, -3*w = 3*x - 27. Let m(t) = -12*t - 13*t + 25*t - 2*t**2 + 3*t**2. What are the prime factors of m(w)?
5
Suppose -a + 40 = 4*h + 3*a, -2*h - 4*a + 30 = 0. Suppose h*m = 239 + 181. List the prime factors of m.
2, 3, 7
Suppose 8*w = 18 + 14. Suppose -w*u = -0*u. Suppose t + 4 = u, -4*z + 3*t = z - 222. What are the prime factors of z?
2, 3, 7
Let l(m) = -3*m**3 + 2*m**2 - 7*m - 10. Let i be l(-5). Suppose -19*y = -14*y - i. What are the prime factors of y?
2, 3, 5
Let d(b) = b**3 - 10*b**2 - 9*b - 15. Let f be d(11). Let c = f + 14. List the prime factors of c.
3, 7
Let k be (-166)/(-3) + (-4)/12. Suppose -4*q - 16 = 0, -q = -a - 0*q - k. Let t = -23 - a. What are the prime factors of t?
2, 3
Suppose -2*i + 2 = -i. Let s be (2 - (6 + i))*1. Let y = 0 - s. What are the prime factors of y?
2, 3
Let m(p) = -5*p**2 - 3*p - 8. Let j be m(-5). Let a = j - -177. What are the prime factors of a?
59
Suppose 5*p - 27 = 4*y, 5*y + 3 = -p - 9. Suppose 22 = p*v - 32. List the prime factors of v.
2, 3
Suppose 5*k - 1573 - 902 = -3*g, -3*k + 1650 = 2*g. What are the prime factors of g?
3, 5, 11
Suppose -14*o + 3723 + 1037 = 0. Suppose 6*n + 4*v - o = 2*n, -5*v - 135 = -2*n. What are the prime factors of n?
2, 5
Let b = 594 + -370. Let t = -128 + b. List the prime factors of t.
2, 3
Let z = 407 + -296. What are the prime factors of z?
3, 37
Let f(q) be the second derivative of -q**3/6 + 7*q**2/2 - 9*q. Let b be f(-15). What are the prime factors of 1/(3 + -4) + b?
3, 7
List the prime factors of (-23)/(-46) - 2606/(-4).
2, 163
Let a(s) = -105*s. Let g be a(-1). Let f be 3645/g - (-4)/14. Suppose -f = -2*p + 45. What are the prime factors of p?
2, 5
Let t be -3*-3*(-4)/(-12). Suppose -q + 2*q + f - 20 = 0, -3*q + t*f = -42. List the prime factors of q.
17
Let d = -131 + 311. Suppose -g - d = -3*p + 752, 5*g + 1550 = 5*p. List the prime factors of p.
311
Let n(g) = 4*g**2 - 7*g + 6. Let o be n(5). Let m = o + 33. What are the prime factors of m?
2, 13
Suppose -2*h + 203 = 45. Suppose -6*w = -53 - h. List the prime factors of w.
2, 11
Let w(d) = -25*d + 2. Let r be w(-1). Suppose r = -2*h + 3*h. List the prime facto
|
{
"pile_set_name": "DM Mathematics"
}
|
f 4252, 4259, 4270, 4285, 4304?
2*j**2 + j + 4249
What is the i'th term of 40, 83, 130, 181, 236, 295?
2*i**2 + 37*i + 1
What is the q'th term of -280, -610, -938, -1264?
q**2 - 333*q + 52
What is the d'th term of 16, 73, 174, 325, 532, 801, 1138, 1549?
d**3 + 16*d**2 + 2*d - 3
What is the z'th term of 190, 364, 538?
174*z + 16
What is the q'th term of -638, -1276, -1914?
-638*q
What is the k'th term of 9, -19, -65, -129?
-9*k**2 - k + 19
What is the b'th term of -42, -87, -134, -183, -234, -287, -342?
-b**2 - 42*b + 1
What is the t'th term of 58, 53, 18, -53, -166, -327, -542?
-t**3 - 9*t**2 + 29*t + 39
What is the v'th term of 30, 40, 50, 60, 70, 80?
10*v + 20
What is the l'th term of 8, 16, 16, 2, -32?
-l**3 + 2*l**2 + 9*l - 2
What is the l'th term of -14, -27, -40?
-13*l - 1
What is the i'th term of -1627, -1632, -1647, -1678, -1731, -1812, -1927, -2082?
-i**3 + i**2 - i - 1626
What is the p'th term of 106, 94, 60, -8, -122, -294, -536?
-2*p**3 + p**2 - p + 108
What is the a'th term of 393, 395, 397?
2*a + 391
What is the u'th term of 26, 120, 280, 506?
33*u**2 - 5*u - 2
What is the u'th term of 15, 24, 21, 0, -45, -120, -231?
-u**3 + 16*u
What is the c'th term of 264, 527, 790?
263*c + 1
What is the p'th term of -85, -173, -321, -529, -797?
-30*p**2 + 2*p - 57
What is the v'th term of -2, -12, -32, -68, -126, -212, -332, -492?
-v**3 + v**2 - 6*v + 4
What is the z'th term of -140, -147, -144, -125, -84, -15?
z**3 - z**2 - 11*z - 129
What is the b'th term of 222, 221, 220, 219?
-b + 223
What is the o'th term of -5, 35, 129, 301, 575, 975, 1525?
4*o**3 + 3*o**2 + 3*o - 15
What is the r'th term of 37, 85, 133?
48*r - 11
What is the f'th term of -75, -285, -629, -1101, -1695, -2405, -3225?
f**3 - 73*f**2 + 2*f - 5
What is the j'th term of 172, 269, 356, 427, 476, 497, 484?
-j**3 + j**2 + 101*j + 71
What is the d'th term of -2758, -2757, -2756?
d - 2759
What is the o'th term of 22, 35, 42, 43, 38?
-3*o**2 + 22*o + 3
What is the m'th term of -7, -45, -119, -241, -423?
-2*m**3 - 6*m**2 - 6*m + 7
What is the q'th term of 592, 1182, 1772, 2362?
590*q + 2
What is the p'th term of 347, 367, 421, 527, 703, 967?
3*p**3 - p**2 + 2*p + 343
What is the v'th term of 1211, 2399, 3599, 4817, 6059, 7331, 8639?
v**3 + 1181*v + 29
What is the h'th term of 158, 151, 144, 137?
-7*h + 165
What is the u'th term of 3323, 3322, 3321, 3320, 3319?
-u + 3324
What is the j'th term of -1897, -3794, -5691, -7588, -9485, -11382?
-1897*j
What is the a'th term of 107, 301, 495, 689, 883, 1077?
194*a - 87
What is the j'th term of 131, 136, 155, 194, 259, 356, 491, 670?
j**3 + j**2 - 5*j + 134
What is the x'th term of -1452, -2898, -4344, -5790, -7236?
-1446*x - 6
What is the v'th term of -1072, -1065, -1044, -1003, -936, -837, -700, -519?
v**3 + v**2 - 3*v - 1071
What is the v'th term of 292, 550, 808, 1066, 1324?
258*v + 34
What is the s'th term of 7, 7, 3, -5?
-2*s**2 + 6*s + 3
What is the i'th term of 1528, 1530, 1532, 1534?
2*i + 1526
What is the f'th term of -178, -176, -172, -166, -158, -148, -136?
f**2 - f - 178
What is the s'th term of 17, 105, 251, 455, 717?
29*s**2 + s - 13
What is the a'th term of -34, -36, -40, -46?
-a**2 + a - 34
What is the q'th term of -127, -521, -1181, -2107?
-133*q**2 + 5*q + 1
What is the h'th term of 407, 403, 397, 389, 379, 367, 353?
-h**2 - h + 409
What is the t'th term of -180, -358, -530, -696, -856, -1010, -1158?
3*t**2 - 187*t + 4
What is the f'th term of 26, 67, 110, 155, 202, 251?
f**2 + 38*f - 13
What is the a'th term of 43, 67, 131, 253, 451, 743?
3*a**3 + 2*a**2 - 3*a + 41
What is the o'th term of -229, -331, -433, -535, -637, -739?
-102*o - 127
What is the r'th term of -14443, -14442, -14441?
r - 14444
What is the q'th term of -2170, -4339, -6508, -8677?
-2169*q - 1
What is the r'th term of 2, -11, -36, -73, -122, -183, -256?
-6*r**2 + 5*r + 3
What is the q'th term of 18, 30, 42, 54, 66?
12*q + 6
What is the f'th term of 6, 18, 46, 96, 174?
f**3 + 2*f**2 - f + 4
What is the p'th term of 5, 16, 51, 122, 241, 420?
2*p**3 - 3*p + 6
What is the v'th term of -11, -17, -23?
-6*v - 5
What is the k'th term of 163, 152, 133, 106, 71, 28?
-4*k**2 + k + 166
What is the y'th term of 31, 94, 195, 340, 535, 786?
y**3 + 13*y**2 + 17*y
What is the v'th term of -100, -90, -68, -28, 36, 130, 260, 432?
v**3 + 3*v - 104
What is the r'th term of 24, 59, 94?
35*r - 11
What is the l'th term of -116, -115, -114, -113?
l - 117
What is the n'th term of -29, -48, -53, -38, 3, 76, 187?
n**3 + n**2 - 29*n - 2
What is the v'th term of 60, 116, 170, 222, 272, 320, 366?
-v**2 + 59*v + 2
What is the l'th term of 1175, 2351, 3527, 4703?
1176*l - 1
What is the c'th term of -21, -117, -287, -525, -825, -1181, -1587, -2037?
c**3 - 43*c**2 + 26*c - 5
What is the n'th term of -135, -146, -157, -168, -179, -190?
-11*n - 124
What is the a'th term of 41, 61, 81, 101, 121?
20*a + 21
What is the d'th term of -199, -388, -575, -760, -943, -1124?
d**2 - 192*d - 8
What is the x'th term of -614, -605, -596, -587?
9*x - 623
What is the n'th term of 56544, 56542, 56540?
-2*n + 56546
What is the h'th term of 229, 435, 627, 799, 945?
-h**3 - h**2 + 216*h + 15
What is the k'th term of 163, 167, 171, 175, 179?
4*k + 159
What is the y'th term of -96, -92, -88, -84?
4*y - 100
What is the k'th term of 711, 2838, 6375, 11316, 17655, 25386, 34503, 45000?
-k**3 + 711*k**2 + k
What is the i'th term of 1416, 1427, 1444, 1467, 1496?
3*i**2 + 2*i + 1411
What is the x'th term of 73, 104, 135?
31*x + 42
What is the n'th term of 248, 496, 744, 992, 1240?
248*n
What is the f'th term of -35, -36, -39, -44, -51, -60, -71?
-f**2 + 2*f - 36
What is the h'th term of -70, -221, -374, -529, -686, -845?
-h**2 - 148*h + 79
What is the h'th term of 41, 40, 31, 14, -11, -44?
-4*h**2 + 11*h + 34
What is the d'th term of 18, 7, -4, -15, -26?
-11*d + 29
What is the s'th term of -543, -544, -545, -546, -547?
-s - 542
What is the h'th term of 415, 824, 1233?
409*h + 6
What is the m'th term of 31, 63, 109, 163, 219, 271, 313, 339?
-m**3 + 13*m**2 + 19
What is the l'th term of -36, -34, -38, -54, -88, -146, -234, -358?
-l**3 + 3*l**2 - 38
What is the h'th term of 451, 469, 495, 535, 595, 681?
h**3 - 2*h**2 + 17*h + 435
What is the v'th term of -65, -132, -199?
-67*v + 2
What is the u'th term of 90, 184, 278, 372, 466?
94*u - 4
What is the k'th term of 145, 282, 419, 556, 693?
137*k + 8
What is the l'th term of -113386, -113390, -113396, -113404, -113414, -113426?
-l**2 - l - 113384
What is the i'th term of 11, 38, 93, 188, 335, 546, 833?
2*i**3 + 2*i**2 + 7*i
What is the t'th term of 233, 243, 257, 275?
2*t**2 + 4*t + 227
What is the z'th term of 3097, 3090, 3079, 3064, 3045, 3022, 2995?
-2*z**2 - z + 3100
What is the u'th term of 127, 486, 1083, 1918, 2991?
119*u**2 + 2*u + 6
What is the m'th term of -20, 2, 30, 64, 104, 150, 202?
3*m**2 + 13*m - 36
What is the f'th term of 19, 40, 61, 82?
21*f - 2
What is the s'th term of 5, 17, 29, 41, 53?
12*s - 7
What is the p'th term of -19, -22, -29, -40, -55, -74, -97?
-2*p**2 + 3*p - 20
What is the u'th term of -66908, -66907, -66906, -66905, -66904, -66903?
u - 66909
What is the j'th term of -65, -221, -377, -533, -689?
-156*j + 91
What is the u'th term of -138, -116, -74, -6, 94, 232, 414, 646?
u**3 + 4*u**2 + 3*u - 146
What is the x'th term of 537, 587, 625, 645, 641?
-x**3 + 57*x + 481
What is the p'th term of 1139, 2300, 3449, 4580, 5687?
-p**3 + 1168*p - 28
What is the c'th term of 819, 1637, 2455, 3273, 4091?
818*c + 1
What is the y'th term of -17090, -17089, -17088, -17087?
y - 17091
What is the t'th term of -103, -196, -293, -400, -523, -668, -841, -1048?
-t**3 + 4*t**2 - 98*t - 8
What is the a'th term of 1583, 1585, 1589, 1595, 1603?
a**2 - a + 1583
What is the b'th term of -11, -19, -33, -53, -79, -111, -149?
-3*b**2 + b - 9
What is the p'th term of 5659, 5658, 5657, 5656?
-p + 5660
What is the t'th term of 495, 2000, 4519, 8058, 12623, 18220?
t**3 + 501*t**2 - 5*t - 2
What is the f'th term of -31, -117, -249, -421, -627, -861?
f**3 - 29*f**2 - 6*f + 3
What is the u'th term of 22, 92, 208, 370, 578, 832, 1132?
23*u**2 + u - 2
What is the v'th term of -3, -4, -1, 6, 17, 32?
2*v**2 - 7*v + 2
What is the m'th term of 6, -13, -50, -111, -202, -329, -498, -715
|
{
"pile_set_name": "DM Mathematics"
}
|
be r(-2). List the prime factors of (165/b)/(1/(-5)).
3, 11
Let d(x) = -x + 13. Let p = 9 + 2. Let r be d(p). Suppose 3*o = r*o + 6. List the prime factors of o.
2, 3
What are the prime factors of 18 + 0/(-3 + 4)?
2, 3
List the prime factors of 6/(-3 - 210/(-68)).
2, 17
Let k be (9 + 0)/((-1)/3). Let f = k - -44. List the prime factors of f.
17
Let m(k) = 2*k - 10. Let t be m(6). Suppose -t*x = -5*f + 103, f + 4*x + 80 = 5*f. What are the prime factors of f?
3, 7
Let k be (3 - 1)/(1/(-4)). Let f = 20 + k. What are the prime factors of 102/8 + 3/f?
13
Suppose 2*i = -4*x + 36, -i = -3*x - 1 + 8. What are the prime factors of i?
2
Suppose -m + 18 = m. Suppose 33 = 4*k + m. List the prime factors of k.
2, 3
Let c be (-5)/2*6/(-5). List the prime factors of 39*(-1)/(-9)*c.
13
Let i(z) = -z - 5. Let f be i(-7). Let h be ((1 + -7)/f)/(-1). Suppose s - 35 = -4*t + h, -55 = -5*t - 5*s. List the prime factors of t.
3
Let i(r) = -r + 8. Let a be i(6). Suppose 54 = -a*v + 5*v. Let k = -11 + v. List the prime factors of k.
7
Suppose 0*y + 293 = y - c, -4*y - 4*c + 1180 = 0. What are the prime factors of y?
2, 3, 7
Let d(s) be the first derivative of -s**3/3 + 5*s**2 - 3*s - 1. Let n be d(10). List the prime factors of ((-2)/n)/(16/408).
17
Suppose -4*w + 2*s + 250 = 0, s - 248 - 75 = -5*w. What are the prime factors of w?
2
Let b = 233 + -121. List the prime factors of b.
2, 7
Let d = -164 - -325. List the prime factors of d.
7, 23
Suppose -4*b = -6 - 18. List the prime factors of b.
2, 3
Let h be (2 + -3)*0/2. Suppose h = 2*f - 16 + 6. Suppose -f*z + 5 + 10 = 0. What are the prime factors of z?
3
Let t(i) = 6*i - 35. Let l be t(10). Let z = -32 - -16. Let d = z + l. List the prime factors of d.
3
Let b = -154 + 109. What are the prime factors of b/(-12) - 1/(-4)?
2
Suppose -2*p - 2*m + 151 = p, 10 = 5*m. List the prime factors of p.
7
Let u(a) be the third derivative of a**7/840 + a**6/45 + a**5/20 - a**3/3 - 2*a**2. Let m(n) be the first derivative of u(n). List the prime factors of m(-7).
7
Let s(t) = -4*t - 1. Let m be s(-1). Suppose 2*w + 2*w = 3*g - 59, m*w = -4*g + 87. List the prime factors of g.
3, 7
Let c(d) = -2*d - 29. Let t be c(-13). Let i(x) = -x**3 + x**2 - x + 5. Let q be i(0). Let k = t + q. What are the prime factors of k?
2
Suppose 3*y = 17 + 13. Suppose y + 16 = 2*n. List the prime factors of n.
13
Let p = -1 + -4. List the prime factors of p*((-4)/(-2) + -3).
5
Let i be 42/9 + (-2)/3. Let m be (-3)/((-6)/7)*i. Let w = m - 9. List the prime factors of w.
5
List the prime factors of (-1003)/(-8) + 3/(-8).
5
Suppose 5*y + 106 = 4*d, 2*y - 62 = 2*d - 4*d. Let i = d - 19. What are the prime factors of i?
2, 5
Let a be (-8)/(-2) + -1 + -2. Let k = 1 - a. Let z = 3 + k. List the prime factors of z.
3
Suppose -2*p = -i - 4*i + 9, 2*p + 3*i = 15. Suppose -v - p*v + 5*y = -110, 4*v - 118 = y. List the prime factors of v.
2, 3, 5
Let f(o) = -o**3 - 8*o**2 + 2*o + 7. Let r be f(-8). Let d = 42 - r. Suppose -3*w + 22 = 4*c, d = 4*w + c - 0*c. What are the prime factors of w?
2, 7
Let o be 0 - (-2 + 0/2). Suppose -4*h - o*h + 30 = 0. What are the prime factors of h?
5
Let u be 18/2*(-2)/(-6). Let r(m) = -2*m**2 - 2*m**2 + m**2 + 4*m**2 - 2. What are the prime factors of r(u)?
7
Let s(b) = 9*b + 9. Let k(g) = -8*g - 9. Let f(z) = 4*k(z) + 3*s(z). List the prime factors of f(-6).
3, 7
Let s be (-1)/((-2)/38) + 0. Suppose -5*o = -6 - s. Suppose o*j - 29 - 21 = 0. List the prime factors of j.
2, 5
Suppose -16 = -3*s - 5*u - 0, s - 12 = -5*u. What are the prime factors of 6/8*6*s?
3
Let t be (-2)/5 - (-268)/20. Let q be 2/(3/78*2). Let j = q - t. List the prime factors of j.
13
Let j = 10 - 8. Suppose -2*c + 5*c - 40 = y, j*y = -4*c + 50. List the prime factors of c.
13
Let y(i) = -i**2 - 4*i - 9. Let t be y(-6). Let d = t + 31. What are the prime factors of d?
2, 5
Suppose 6 = 3*h - h. Suppose 0*i + 66 = h*i. What are the prime factors of i?
2, 11
Suppose 2*c - 6 = -c. Suppose -c*p + 12 = 2*p. What are the prime factors of p/(-3) + 7 - -2?
2
Let g = -3 - -2. Let u = 8 + g. List the prime factors of u.
7
What are the prime factors of (-1185)/(-45) + 2/3?
3
Suppose 3*y - 11 = -p - 2*y, -y + 13 = 2*p. What are the prime factors of p?
2, 3
Let x = -38 + 59. List the prime factors of x.
3, 7
Let g(a) = a**2 - 2*a + 5. List the prime factors of g(3).
2
Let r = 3 - 12. Let z(o) = -o - 3. List the prime factors of z(r).
2, 3
Suppose -w + t = 0, -5*t + 0*t = 5. What are the prime factors of 3 + w + 42/3?
2
Let q = -2 - -2. Suppose q = 3*d - 6*d + 3. Let f(j) = 9*j**2 - j. What are the prime factors of f(d)?
2
Let n(c) = -c - 14. Let i be n(-6). Let f be (i/(-10))/(1/15). Suppose 3*m - f = 6. List the prime factors of m.
2, 3
Suppose 4*p - 45 = 5*o - 0*o, -o + 15 = 4*p. List the prime factors of (-36)/(-10) + (-2)/o.
2
Suppose 3 + 0 = r, -3*f - 2*r + 54 = 0. Suppose v + 3*v - f = 0. What are the prime factors of v?
2
What are the prime factors of (-326)/(-12) - 3/18?
3
Let w = 12 + -7. Suppose -3*y + 16 = -s, -w*y + 24 = s - 0*s. What are the prime factors of 114/10 + (-2)/y?
11
Suppose -4*d + 496 = -0*d. Suppose -24 + d = 5*l. List the prime factors of l.
2, 5
List the prime factors of -1 + 0 - (-1 + -135 - 1).
2, 17
Let u = 37 - 3. Let f = u + -14. What are the prime factors of f?
2, 5
Suppose 0 = -11*n + 13*n - 814. List the prime factors of n.
11, 37
Let z(x) = -2*x - 9. Let u(l) be the second derivative of -l**3/6 - 4*l. Let c be u(6). What are the prime factors of z(c)?
3
Suppose -2*r - 5*d + 101 = 0, r + 2*d = 3*d + 40. List the prime factors of r.
43
Suppose 11*f = 25*f - 4956. List the prime factors of f.
2, 3, 59
Let o(l) = 3*l - 4. Let c be o(3). Suppose 60 = 3*r - 5*d, 2*d + 81 = c*r - 0. List the prime factors of r.
3, 5
Let d(k) = -2*k + 12. Let n be d(0). Let g = 42 - n. List the prime factors of g.
2, 3, 5
Let l(i) be the third derivative of i**4/8 + i**3/6 - 4*i**2. List the prime factors of l(1).
2
Let c = -12 + 38. Suppose -3*b + 4*i + c = 0, 4*b + 5*i = 20 + 56. List the prime factors of b.
2, 7
Let o(z) = 4*z**3 + 2*z**2 - 1. Let y be o(1). Suppose 0 = 2*l - m - y - 1, l + 4*m = 12. What are the prime factors of l?
2
Suppose 2*i + 0 = 10. Suppose 0 = -r + i*r - 40. List the prime factors of r.
2, 5
Let l(d) = -d**3 + 3*d**2 + d - 1. Let q be l(2). Let x = -1 + q. Suppose x*p - 44 = -p - v, -v + 36 = 4*p. List the prime factors of p.
2
Let m(l) = -l**2 + 4*l + 13. Let y be m(6). List the prime factors of ((-1 + 59)/y)/2.
29
Let t = -6 - -7. What are the prime factors of (2 - 3)*(t + -18)?
17
Let z be (-12)/(-15)*10/(-2). Let l = z + 4. Let y = l + 3. List the prime factors of y.
3
List the prime factors of 71/3 + (4/3 - 1).
2, 3
Let o = 21 + 65. List the prime factors of o.
2, 43
Suppose 0*f + 3*f + y = -3, -5*f + 3*y = -9. Suppose -2*p + 174 - 16 = f. Suppose 24 - p = -5*b. List the prime factors of b.
11
Let o(w) = -4*w - 2. Let y be o(5). Let l = y + 36. Let q = l - -6. What are the prime factors of q?
2, 5
Suppose 3*a - 87 = -4*h + h, 0 = -4*a + 2*h + 134. What are the prime factors of a?
2
Let m be (-25)/(-9) - 6/(-27). Let p(z) = 15*z - 1. List the prime factors of p(m).
2, 11
Let s = 451 + -272. What are the prime factors of s?
179
Suppose -33 = -o - 5. What are the prime factors of o?
2, 7
Let f be 8/10*-2*5. Let a = f + 12. List the prime factors of a.
2
Let r(f) = 4*f - 3. What are the prime factors of r(6)?
3, 7
Let d = -19 + 31. What are the prime factors of d?
2, 3
Suppose -4*f + 11 - 3 = -4*o, 0 = 3*o - 2*f + 4. Let n = 8 - o. List the prime factors of n.
2
Suppose -2*r = -2*p + 6, p + 12 = -p - 4*r. Suppose p = -5*k + 4*a + 32, 2*a - 26 = -3*k + a. List the prime factors of k.
2
Suppose -2*x + 12 = -0*x. Suppose -x*v = -139 + 7. What are the prime factors of v?
2, 11
What are the prime factors of 584/36 + (-2)/9?
2
Suppose 3 = 5*p - 7. Suppose 30 = 4*b + 2*c, -p*c + 3*c = 4*b - 45. What are the prime factors of b?
2, 5
Let d be 2 + (2 + -1)/1. Suppose 7*t + 5 = 12*t. Let p = d - t. List the prime factors of p.
2
What are the prime factors of 25 + (3 + 0)*2/(-2)?
2, 11
Let t(f) = f**3 - 5*f**2 - 5*f + 6. Let y be t(6). Suppose -3*w + 4*w = y. List the prime factors of w.
2, 3
Let y be (-2)/4*(-1 + -11). Suppose 4*n + 2*r -
|
{
"pile_set_name": "DM Mathematics"
}
|
et h(u) = -30*u**3 - 2*u**2 + 12*u + 9. Determine 2*g(m) - 5*h(m).
34*m**3 - 8*m - 5
Let t(c) = 35*c - 90. Let a(r) = 125*r - 313. Let l(x) = 5*a(x) - 18*t(x). Let f(o) = 26*o - 276. Give -3*f(b) - 16*l(b).
2*b - 52
Let k(t) = -10*t - 11. Let x(n) = -3*n - 64 + 5*n + 66. Determine 6*k(i) + 33*x(i).
6*i
Let i(m) be the first derivative of 5*m**3/3 - 2*m**2 + 1. Suppose -520 = 51*w - 1030. Let g(a) = -16*a**2 + 12*a. What is w*i(c) + 3*g(c)?
2*c**2 - 4*c
Suppose -34*n - 902 = -1276. Let m(y) = 25*y + 4. Let g(s) = -5*s - 1. Determine n*g(b) + 2*m(b).
-5*b - 3
Let s(u) = -24*u - 64. Let n(y) = -11*y - 25. Calculate 7*n(d) - 3*s(d).
-5*d + 17
Let d(o) = 10*o**2 - 2*o - 11. Let g(h) = -5*h**2 + h + 6. Suppose 4*s + 40 = -4*l, -7 = -4*l - 3. Give s*g(u) - 6*d(u).
-5*u**2 + u
Let r(j) = -19*j**3 + 78*j**2 - j. Let o(s) = -21*s**3 + 78*s**2 - s. Calculate 6*o(d) - 7*r(d).
7*d**3 - 78*d**2 + d
Let x(h) = h - 33. Let g(l) be the second derivative of -l**3/6 + 16*l**2 + 29*l + 16. Determine -5*g(n) - 4*x(n).
n - 28
Let q(o) = 4*o + 1 + o - 3*o. Let a(x) = -3*x**2 + 6*x + 1. Let r be a(2). Let w(n) = 2 - r - 266*n + 268*n. Determine 4*q(s) - 5*w(s).
-2*s - 1
Let g(o) = -o**2 - 1. Let q(s) = 2 - 160*s**3 + 346*s**3 + 3*s**2 - 170*s**3 + 0. Calculate -3*g(p) - q(p).
-16*p**3 + 1
Let h(z) = 4*z - 1. Suppose 184 - 4 = 9*m. Suppose -m = -5*c - 5*s, -6*c + 16 = -2*c - 3*s. Let i(w) = -w + w + 1 + w - 6*w. Determine c*i(x) + 6*h(x).
4*x - 2
Let t(f) = -3*f**2 + 2*f + 2. Let g(a) = 10*a**2 + 189*a - 2. Determine -g(c) - 2*t(c).
-4*c**2 - 193*c - 2
Let p(j) be the first derivative of j**3/3 + 11*j - 27. Let t(r) = -6 + 5 - 2 + 5. Give 6*p(s) - 33*t(s).
6*s**2
Let w(s) = 5 + 3*s**2 + 1065698*s + 0*s**2 - 1065694*s. Let c(v) = v**2 - v. Determine -2*c(r) + w(r).
r**2 + 6*r + 5
Let h(d) = 6*d - 71. Let s(m) = -m - 2. Give h(q) + 4*s(q).
2*q - 79
Let r(h) = 8*h**3 + 11*h**2 - 10*h - 5001. Let i(l) = -l**3 - l**2 + l. What is -10*i(f) - r(f)?
2*f**3 - f**2 + 5001
Let y(c) = -c**2 + 13*c + 11. Let n(a) = 6*a + 6. Suppose 0 = -265*h - 1136 - 189. Give h*n(g) + 2*y(g).
-2*g**2 - 4*g - 8
Let o(n) be the first derivative of 5/2*n**2 - 18 + 6*n. Let b(x) = 5*x + 7. Calculate -6*b(l) + 7*o(l).
5*l
Let c(z) = -4*z - 1892. Let y(p) = -2*p - 943. Calculate -4*c(x) + 7*y(x).
2*x + 967
Let h(r) = -3*r**3 + r**2 + 1. Let d = 67 + -64. Let p be (0 + 9)*d/9. Let f = p - 1. Let a(i) = -10*i**3 + 4*i**2 + 3. Determine f*a(c) - 7*h(c).
c**3 + c**2 - 1
Let l(p) = 4 - 4 + 2*p - 3. Let t(b) = -b**2 - 4*b + 5. Suppose 3*d = -2*g + 4*g - 7, -8 = 2*g + 2*d. Let o be 0/g + (0 - 4). Calculate o*t(n) - 7*l(n).
4*n**2 + 2*n + 1
Let y(s) be the first derivative of 9*s**4/4 + 4*s - 4980. Let f(a) = a + 1. Calculate 4*f(g) - y(g).
-9*g**3 + 4*g
Let q(d) = -12868*d**2 - 54. Let x(t) = 3217*t**2 + 12. Give 2*q(l) + 9*x(l).
3217*l**2
Suppose 4*j - 4 = -4*c, 0 = -27*j - 11*c + 12*c + 223. Let u(o) = -21*o**2 - 4*o - 8. Let m(p) = -7*p**2 - p - 3. What is j*m(b) - 3*u(b)?
7*b**2 + 4*b
Let a(o) = -216*o + 30. Let l(y) = 5. Calculate -a(g) + 4*l(g).
216*g - 10
Let z = 42842 + -42846. Let x(b) = b**2 + b + 1. Let t(o) = o**2 + o**3 + 3*o**2 + 5*o + 4 - 2*o**3. Let d = 4 + -3. Calculate d*t(i) + z*x(i).
-i**3 + i
Let n(k) = 3*k**3 - 4*k**2 + 26*k - 1. Let y(c) = 16 - 73*c - 13 + 7*c**3 + 11*c**2 - 15*c**3 - 5*c. What is -11*n(f) - 4*y(f)?
-f**3 + 26*f - 1
Let j(n) = n**3 - n**2 - n. Let k = -9691 - -9692. Let t(m) = -8*m**3 + 4*m**2 + 4*m - 1. Give k*t(a) + 6*j(a).
-2*a**3 - 2*a**2 - 2*a - 1
Let t(m) = m - 49. Let z(n) = 5*n - 100. Determine 9*t(r) - 4*z(r).
-11*r - 41
Let c(r) = -645*r - 12. Let z(y) = 2*y - 1. Calculate 5*c(i) - 60*z(i).
-3345*i
Let z = 23 - 16. Suppose -2 = -r + 5*c, 10*r + 4*c = z*r + 6. Let t(x) = x + 1. Let v(q) be the third derivative of -q**4/24 - q**2. Give r*v(f) - t(f).
-3*f - 1
Let u(w) = 12*w + 1. Let m(n) = 60*n + 1. Give m(a) + 7*u(a).
144*a + 8
Let d(v) = 6*v**3 + 1. Let t(o) = 35*o**3 - 2*o**2 + 6*o + 1. Determine 3*d(x) - t(x).
-17*x**3 + 2*x**2 - 6*x + 2
Let m(h) = 18*h + 1. Let b(x) = -15820*x - 904. Give -b(r) - 904*m(r).
-452*r
Let q(m) = 6*m**2 + m + 1. Let w = -23646 - -23652. Let l(b) = -1 - 6*b**2 - 2*b**2 + b**2. What is w*q(g) + 5*l(g)?
g**2 + 6*g + 1
Let o be (-4)/(9 - (-10 - 165/(-9))). Let l(c) = -2*c**3 - 4*c**2 + 21*c - 2. Let p(z) = z**3 + 2*z**2 - 10*z + 1. What is o*l(x) - 11*p(x)?
x**3 + 2*x**2 - 16*x + 1
Let r(a) = a**3 - 706. Let h(i) = i. Determine 2*h(l) - r(l).
-l**3 + 2*l + 706
Let x = -18898 - -18894. Let b(h) = -15*h + 7. Let u(a) = 31*a - 13. Calculate x*u(r) - 7*b(r).
-19*r + 3
Let q(k) = -13*k + 5 - 3 - 6*k - 27*k + 16*k. Let g(z) = -29*z + 2. Calculate -6*g(f) + 5*q(f).
24*f - 2
Let o(x) = -7*x**3 + 5*x**2 - 6. Let j(r) = 8*r**3 - 4*r**2 + 7. Suppose 0 = -94*v - 441 - 217. Give v*o(t) - 6*j(t).
t**3 - 11*t**2
Let u(z) = -4*z + 20. Let f(k) = 38. Let p(x) = -x + 24. Let b(w) = f(w) - 2*p(w). Calculate 9*b(s) + 4*u(s).
2*s - 10
Let n be 1*16/(-8)*-1. Suppose 0 = -5*h - 5, -l + 4*l + h - n = 0. Let m(u) = 7*u**2 + 3*u - 6. Let r(x) = -x**2 - x. Calculate l*m(f) + 5*r(f).
2*f**2 - 2*f - 6
Let w(u) = -u**2 + 5*u - 6. Let k(c) be the third derivative of c**5/60 - c**4/24 + c**3/6 - 1615*c**2. What is 4*k(f) + w(f)?
3*f**2 + f - 2
Let t(p) = -84*p + 77. Let c = 236 - -875. Suppose 17*d = -1507 - c. Let k(q) = q - 1. What is d*k(y) - 2*t(y)?
14*y
Let r(z) = 7*z + 3. Let s(g) = -g. Suppose -32*a - 27*a - 16 = 102. Calculate a*s(b) - r(b).
-5*b - 3
Let d(o) = -504*o**3 + 216*o + 32. Let k(x) = -46*x**3 + 20*x + 3. Calculate 3*d(y) - 32*k(y).
-40*y**3 + 8*y
Suppose 3*y = 5*f - 3 + 16, f = 5*y + 15. Let h(b) = -13*b - 3. Let g(s) be the first derivative of 19*s**2/2 + 4*s - 4107. Calculate f*g(i) - 7*h(i).
-4*i + 1
Let c(z) = z - 1. Let m(t) = -6*t + 3. Let b be 0 - 20/4 - (2 - -155). Let x = -167 - b. Determine x*c(v) - m(v).
v + 2
Let h(w) = 14*w**2 + w + 14. Let s(a) = -10*a**2 - 2*a - 15. Calculate -4*h(m) - 3*s(m).
-26*m**2 + 2*m - 11
Let m(n) = -17*n**2 - 38*n - 25. Let a(d) = -17*d**2 - 40*d - 33. Calculate 3*a(c) - 4*m(c).
17*c**2 + 32*c + 1
Let d = 129 + -124. Suppose -d = 5*i - 2*m, 9 = -i - 2*m + 4*m. Let v(z) = -4*z**3 - 3*z**2. Let b(x) = -x**3 - x**2. What is i*v(p) - 3*b(p)?
-p**3
Let p(f) = -f**2 + 107*f - 974. Let t be p(10). Let j(i) = i**2 + 1. Let w(v) = -6*v**2 + 6. Give t*j(b) - w(b).
2*b**2 - 10
Let x(l) = 5*l**2 + 9*l - 5. Let m = -860 + 857. Let q(n) = 3*n**2 + 4*n - 2. Give m*x(o) + 7*q(o).
6*o**2 + o + 1
Let g(o) be the second derivative of -o**4/12 + o**3/3 - o**2 + 39*o. Let c be (-4 - 196/8)*(-8)/(-6). Let d = 35 + c. Let r(y) = -1. Give d*r(x) + g(x).
-x**2 + 2*x + 1
Let z(u) = 156 + 181 + 16*u - 330 - 6*u**2 - 27*u**2. Let q(y) = 11*y**2 - 5*y - 2. Give -7*q(c) - 2*z(c).
-11*c**2 + 3*c
Let j(b) = 4*b + 861. Let z(l) = -9*l - 1710. What is -5*j(g) - 2*z(g)?
-2*g - 885
Let s(v) = -3*v**2 - 82*v - 27. Let j(z) = 2*z**2 + 82*z + 22. Determine -4*j(t) - 3*s(t).
t**2 - 82*t - 7
Let t(n) = -n**3 - 2*n**2 - 3*n - 3. Let c(z) = -2*z**3 - 576*z**2 - 13*z - 15. Calculate c(p) - 5*t(p).
3*p**3 - 566*p**2 + 2*p
Let s(v) = 3*v**2 - 61*v + 234. Let a(t) = 6*t**2 - 142*t + 467. Calculate 3*a(o) - 7*s(o).
-3*o**2 + o - 237
Let x(t) = -2*t + 21. Let o(q) = 525*q - 3 - 1013*q + 4 + 487*q. What is 4*o(b) - x(b)?
-2*b - 17
Let p(k) be the second derivative of -k**3/3 + 3*k**2/2 - 3353*k. Let u = 2 - 6. Let v(q) = -q + 2. Calculate u*p(a) + 9*v(a).
-a + 6
Let f(q) = 14*q - 83. Let i(w) = -29*w - 14. Let m(u) = 83*u + 35. Let o(a) = 17*i(a) + 6*m(a). Determine 6*f(r) - 17*o(r).
-r - 22
Let t(m) = 2*m**2 - 2*m**2 - 36*m**2 + 34*m**2 + 6*m + 8. Let r(u) = -u**2 + 5*u + 7. Determine -4*r(h) + 3*t(h).
-2*h**2 - 2*h - 4
Let j(p) = p. Let m(d) = -3*d - 2. Let z(v) = 4*j(v) + m(v). Let i be (19 - 4/(-2)) + 6/(-6). Let t(o) = -14 + o + i - 9. What is 2*t(g) - 3*z(g)?
-g
Suppose -27*u = -131*u - 6 - 202. Let s(q) = -q**2 + q - 1. Let w(l) = -8*l**2 - l + 2. Determine u*s(b) - w(b).
10*b**2 - b
Let f(b) = -53*b**2 - 4*b + 16. Let i(k) = 26*k**2 + 2*k - 9. Calculate 3*f(s) + 5*i(s).
-29*s**2 - 2*s + 3
Let v = -27 - -28. Suppose -3 = 5*t + 2*b, 4*t - b = 8*t + 3. Let d(z) = -5*z - 2. Let g(h) = h - 1. Calculate t*d(j) + v*g(j).
6*j + 1
Let c(z) = 2302*z
|
{
"pile_set_name": "DM Mathematics"
}
|
10 for l.
-3
Let k be 2/(-4)*(-120)/12. Solve k*f + 2 = 6*f for f.
2
Let l be 2 + -1 + 0 - -1. Suppose -l = -u - 0*u. Suppose 0 = -4*p + 2*p. Solve -u*o + p*o + 2 = 0 for o.
1
Let b = -7 + 7. Suppose b = -4*d + 2*v - 2, -3*d - v - 2 = -3*v. Let f be -3 + 2 - (-3 + d). Solve -4*t = -2 - f for t.
1
Suppose -4*x + 14 + 10 = 0. Suppose -v - 16 = -4*v + 2*q, 5*v = -5*q + 10. Suppose v*c - l - 11 = 0, 0 = 3*l - x + 3. Solve c*m = -m for m.
0
Suppose -q + 60 = q. Let u be (-4)/((-8)/q) - -1. Solve u = 3*z + z for z.
4
Suppose -3*a + 2*a + y + 7 = 0, 5*a = y + 23. Suppose 5*k - a*k = 3. Solve -v = k*v - 12 for v.
3
Suppose 8 = -3*r + 4*r. Let q be (-8)/(-6) + r/12. Let w = q - 0. Solve a + w*a + 6 = 0 for a.
-2
Let r be 0*1/2 + 5. Let p be (-6)/(-2)*(-8)/(-12). Let o be ((0/p)/(-2))/1. Solve o*y = y - r for y.
5
Suppose -3*a + 3 = -2*a. Solve 1 = -l - a for l.
-4
Let d(f) = -f**2 - 6*f + 9. Let q be d(-7). Let n be (1/q)/(6/48). Solve -n*k = k + 5 for k.
-1
Suppose 2*m = -2*r + 6*m + 16, -4*r = m + 4. Solve 3*l + 0*l + 15 = r for l.
-5
Let r(t) = -t**3 + 7*t**2 + 9*t + 2. Let d be r(8). Solve -3*a + d = -a for a.
5
Suppose 9*y = 16*y - 70. Solve -4*r + 2*r = -y for r.
5
Suppose -2*i + 2 = -i. Solve i*w + 3*w - 5 = 0 for w.
1
Suppose -c + 4*p + 10 = 0, p - 3*p - 4 = 0. Solve -3*n - c*n = -25 for n.
5
Suppose a + 3*a - 128 = 0. Suppose -4*q + 4*w = -a, 3*q + 5*w = 2*q - 22. Solve q*g + g - 4 = 0 for g.
1
Let w = -33 - -48. Solve 5*v = 2*v - w for v.
-5
Suppose y - 1 = 6. Let a = 17 + 8. Let h be a*(0 - (-8)/10). Solve -2*u - h = -y*u for u.
4
Suppose -5*m + 11 = -29. Suppose z + 0 = 4. Let p = m - z. Solve p*b - 11 = 5 for b.
4
Let p(q) = -q**3 - q**2 + 16. Let c be (-22)/6 + (-7)/21. Let n be (-2)/8 - 1/c. Let a be p(n). Solve -5*f + f = a for f.
-4
Suppose 0 = 2*s + z - 9, 2*s + 2*z + 0*z = 8. Suppose -s*g + 2 + 23 = 0. Let i be (2/(-2))/((-2)/6). Solve -g*d = -i*d - 10 for d.
5
Suppose -4*i - 8 = 0, 4 = -3*l - 4*i + 2. Suppose l*c = c. Solve 2*b - b + 2 = c for b.
-2
Suppose -j = 3*j - 20. Suppose -17 = -j*v + 63. Solve -2*g = 2*g - v for g.
4
Let o be (0 + (-6)/(-8))*4. Solve 2*i = -o*i + 20 for i.
4
Suppose 0 = 5*s - 0*s - 15. Suppose 5*d - 13 = -s*w, 5*w + 2*d - 23 = 5. Solve a - w*a = -15 for a.
3
Let n be 2 - 0*1/(-2). Let v be 2 - 4 - (-1 + 2). Let l(x) = 2*x**2 + 5*x + 2. Let z be l(v). Solve n*d = z*d for d.
0
Let v(y) = -y**3 + 2*y**2 + y. Let a be v(2). Suppose 0 = a*h - 0*h. Solve -u + h - 2 = 0 for u.
-2
Suppose -2*h + 7*h = 10. Let d = -767 + 771. Solve -d = h*c - c for c.
-4
Let g = -2 + 3. Let q be (7 - g) + (-2 - 1). Let w be (1 + -1 - -1) + 2. Solve -2*u - q = w for u.
-3
Let y(s) = -s**3 + 11*s**2 + 12*s + 3. Let l be y(12). Solve 0 = l*g - 3 + 12 for g.
-3
Let h = 132 + -132. Solve 2*o - 2 = -h*o for o.
1
Let q(w) = w**2 + 10*w + 11. Let m be q(-9). Solve -m*z + 3*z = 0 for z.
0
Let b = -4 - -6. Let m(l) = -4 + l**2 - 2 - b + 7*l. Let u be m(-8). Solve -5*j + 0*j = u for j.
0
Let d be 8/(-36) + -10*6/(-27). Solve 0 = d*c - c for c.
0
Let w(c) = -2*c**3 - c. Let x be w(-1). Solve -x + 5 = h for h.
2
Let q be (4/(-5))/((-4)/10). Solve -3*y = -4*y - q for y.
-2
Let m be (-3 + 1)*-1 + -4. Suppose -2*f + 0*f + 20 = 0. Let u = f + m. Solve -4*r - u = -2*r for r.
-4
Suppose 2 = -3*v - 1, p - 8 = 4*v. Solve -p*b = -6*b + 10 for b.
5
Let u(b) = -6*b + 13. Let p be u(-9). Let o = p - 48. Suppose 5*f - 2*k + k - o = 0, k = -3*f + 13. Solve 0 = -0*r - f*r - 4 for r.
-1
Let z = -12 + 3. Let k(j) = j**3 + 10*j**2 + 7*j - 8. Let a be k(z). Solve c + a = -c for c.
-5
Suppose -5*c + 4*h - 1 - 23 = 0, 2*c = -5*h - 36. Let a(m) = m**2 + 7*m - 7. Let q be a(c). Solve 5*y = -6 + q for y.
-1
Let g be 4*(-33)/(-36) + 2/6. Solve q = -0 - g for q.
-4
Let h = -10 - -12. Solve -w = -h*w - 1 for w.
-1
Let i(m) = m**3 + 2*m**2 + 2*m + 1. Let h be i(-1). Let j be (-1 + 3)*(-4)/(-4). Suppose j = q + q. Solve c + 3 - q = h for c.
-2
Let q = -21 - -13. Let b = q - -8. Solve -4*a + 6 + 6 = b for a.
3
Suppose 3*f = -14 + 23. Solve -5*q = -f*q - 8 for q.
4
Suppose -5*y + 20 = 2*f - 19, 3*f = -4*y + 34. Solve -2 = w - y for w.
5
Let s(g) = 5*g**2 + 2*g - 1. Let c be s(-2). Suppose 2*p + 4*y + 1 + 1 = 0, -2*p - 3*y = 4. Let a = 1 - p. Solve i - a*i + c = 0 for i.
3
Let v(g) = -g + 16. Let z be ((-2)/(-4))/(-1)*-24. Let s be v(z). Solve -2*t - s = -3*t for t.
4
Let y(s) = -5*s + 1. Let d be y(-5). Let c(t) = -t**3 - 6*t**2 - 3*t - 4. Let z be c(-5). Let p = d + z. Solve j + 3*j = -p for j.
-3
Suppose -4*y + 6 = -z - 5, 0 = 3*y - 5*z + 13. Let g = 59 - 25. Suppose -q - 17 = -y*h, -6*h + h = 3*q - g. Solve 4 = 3*w - h for w.
3
Let u(t) = -t - 1 + 2*t + 5 + 4. Let k be u(-8). Solve -4*p = -k*p for p.
0
Suppose -3*d = -4*d + 2. Let s(u) = u**3 + 7*u**2 - 3*u - 9. Let c be s(-7). Let a be (-5 - c/(-4))*-2. Solve -d*r + a = -4 for r.
4
Let a(i) be the second derivative of 0 + 2/3*i**3 - 3/2*i**2 + 2*i + 1/12*i**4. Let b be a(-5). Solve -b*n + 20 = -7*n for n.
-4
Let u(x) = -3*x + 30. Let y be u(10). Suppose 3*f = 14 - 5. Solve -3*h + 6*h - f = y for h.
1
Let u(i) = i**2 + 2*i - 15. Let t be u(-5). Solve t = -2*b - b + 12 for b.
4
Let w(k) = -k + 7. Let u be w(6). Suppose 3 + u = 2*m. Solve 0*b - m*b + 8 = 0 for b.
4
Suppose 31 = 3*u - 3*g + g, -5*u + 69 = g. Solve 2 + u = 5*c for c.
3
Let f = 8 - 5. Let p(s) = -3*s + 3*s**2 + 3*s - 1 - s**3 + 3 + 4*s. Let g be p(4). Solve g*c - f = c for c.
3
Let s be -2 + -1 + 6 - -3. Solve -x + 20 = -s*x for x.
-4
Suppose 5 = -u + 19. Let d(z) = z**2 - 10*z - 15. Let y be d(11). Let n = y - -6. Solve n = 4*j - u for j.
4
Let c be 8*2/(-24)*(-9)/2. Solve -6*s = -7*s - c for s.
-3
Let q(s) = s**3 - 12*s**2 + 8*s + 12. Let h be q(11). Let v = h - -25. Solve -v*p + 2 = -2*p for p.
1
Suppose 0 = y - 4*p + p - 23, -5*y + 3*p + 55 = 0. Suppose -2 + y = 3*c. Solve c*l + 1 = 9 for l.
4
Suppose 2*f = -3*w + 8, -f - 3*f - 4 = -4*w. Solve -c - w*c = -3 for c.
1
Let a(l) = l**2 - 4*l. Let s be a(4). Suppose 0 = h + j - 5, -j - 14 = -2*h - 7. Let y = h - s. Solve -15 = y*z + z for z.
-3
Suppose 0*b - 4*b - 16 = 5*i, -5*b - 20 = 4*i. Suppose i = -2*q + 3*q - 8. Solve 0*p - q = -2*p for p.
4
Suppose -3*r = 2*r. Suppose 16*z - 14 = 14*z. Solve z*a - 3*a = r for a.
0
Let u be 3/(-3) - (-2)/2. Suppose s = -u*s. Solve s*f + 20 = -4*f for f.
-5
Let u = -20 - -14. Let p = u + 10. Let s(x) = x**3 + 5*x**2 - 8*x - 2. Let k be s(-6). Solve p*d = 2*d + k for d.
5
Suppose 0 = -4*h + 4*j + 20, -2*h = 2*j - 8 + 2. Suppose 2*u = -5*w + 20, -w + 2*w - 4 = -h*u. Solve u + 5 = g for g.
5
Let m be 2/(-5) - 4/(-10). Suppose m = -2*y - 3*y. Solve 0 = 3*u - 6 - y for u.
2
Let g(n) = n**3 + n**2 + n + 4. Let u be g(0). Suppose -2*h + u*b - 1 = 7, 4*h - 20 = -b. Solve k + h = -k for k.
-2
Let v be -4 - -11 - (2 + -1). Solve 31 - v = 5*n for n.
5
Let t(x) = -2*x + 4. Let u be t(-5). Let y be u/(-21) - (-56)/3. Suppose -4*a + y = 6. Solve 0 = -a*q + 16 - 4 for q.
4
Suppose -8 = -4*c - 0. Suppose k = -k + q + c, -27 = -5*k - 3*q. Suppose 0 = 2*w - k*w. Solve v = -w*v + 5 for v.
5
Let l be ((-9)/(-27))/((-1)/(-6)). Solve 0*w = l*w for w.
0
Suppose -8 - 12 = -4*p. Suppose 0 = g + 1 - 9. Let k be (27/(-12))/((-3)/g). Solve p*x + 19 = -k for x.
-5
Suppose -7 = -3*m + 11. Let v(j) = -j + 2*j + 3 + 2. Let h be v(-4). Solve o + h - m = 0 for o.
5
Let a = 17 - 7. Solve -3*h + a = -8*h for h.
-2
Let k be (8/3)/(4/6). Let w(s) = s**3 - 3*s**2 - 3*s - 4. Let i be w(k). Solve i = z + 4*z - 10 for z.
2
Let k be 2/(3/(-48)*-4). Suppose 2*v - 1 = -0*g + 3*g, 0 = 3*g + v - 14. Suppose -4*w = -4*t + 2*t + 14, -2*t + g*w + 13 = 0. Solve a = t*a + k for a.
-2
Suppose 3*m - 4 = -5*d, 4 = 5*d + m - 4. Solve d = -h + 7 for h.
5
Suppose 26 = 4*d + 2*p, -3*d + p = -3 - 4. Suppose d*c = 5*s - 85, 30 = -4*c + 10. Solve 5*m = s + 2 for m.
3
Let n(v) = -5*v**3 + v**2 + v. Let r be 0 + (-1 - 1) - -1. Let k be n(r). Suppose -4*b + k*w - 1 = -2*b, 2*w - 6 = -2*b. Solve -y = b*y + 6 for y.
-2
Let m be (8/28)/((-2)/(-14)). Suppose -a + 5 = m*t, -4*a - 5*t = -2*a - 11. Solve -a*o - o - 16 = 0 for o.
-4
Let v(h) = 6 - 3*h + h**2 - 6*h + 0*h**2 + 5. Let p be v(8). Solve -p*x + 10 = -x for x.
5
Let s(b) = 2*b**2 - 5*b - 1. Let j(o) = 5*o**2 - 14*o - 4. Let w(c) = -3*j(c) + 8*s(c). Let g be w(-3). Solve g*i - 4*i
|
{
"pile_set_name": "DM Mathematics"
}
|
1)/11
Let y = -10/290069 - -290109/1160276. Solve 9/4*w**2 - 11/4*w**3 + 11/4*w + y*w**4 - 5/2 = 0.
-1, 1, 10
Let d(g) = -g**3 - 6*g**2 - 27*g - 25. Let h be d(-5). Let k be (-15)/(-9)*51/h - -1. Factor p**3 - 2*p + 1/2*p**4 + 2 - 3/2*p**k.
(p - 1)**2*(p + 2)**2/2
Suppose -z = 3*y + z - 116, -y = -2*z - 52. Suppose 6*g + 18 - y = 0. Suppose 3*a**g - a**3 + 4*a**3 - 43*a**2 + 37*a**2 = 0. What is a?
-2, 0, 1
Suppose -4*u - 54 = -31*u. Let -3*d**2 + 6148 - 6148 - u*d - 49*d = 0. Calculate d.
-17, 0
Factor -45 + 1/3*a**3 + 53*a - 25/3*a**2.
(a - 15)*(a - 9)*(a - 1)/3
Let t = 203123/304680 + -1/101560. Factor t*x**3 + 0*x + 0 + x**4 + 1/3*x**5 + 0*x**2.
x**3*(x + 1)*(x + 2)/3
Suppose 629*d - 260 + 62 - 1060 = 0. Let 2/7*m**5 - 12/7*m + 0 + 2/7*m**4 - 26/7*m**2 - d*m**3 = 0. Calculate m.
-2, -1, 0, 3
Suppose 1384*t + 18 = 1379*t + 4*s, -25 = 5*t - 5*s. Factor -r + 1/8*r**4 + 1/4*r**t + 5/8*r**3 + 0.
r*(r - 1)*(r + 2)*(r + 4)/8
Let f = -94169 - -94169. Solve 5/2*r**3 + 3/2*r**2 - 2*r - 1/2*r**5 + f - 3/2*r**4 = 0.
-4, -1, 0, 1
Let y be ((-1495)/(-169) - 9)*-13. Factor -3*m**y - 3 - 1/2*m**3 - 11/2*m.
-(m + 1)*(m + 2)*(m + 3)/2
Let -154/15*x**2 - 2/15*x**3 - 142/3 - 862/15*x = 0. What is x?
-71, -5, -1
Let v(o) be the first derivative of -o**3/30 + 209*o**2/20 - 104*o/5 - 2172. Find q, given that v(q) = 0.
1, 208
Let y(d) be the first derivative of d**5 + 35*d**4/4 + 20*d**3 - 4629. What is s in y(s) = 0?
-4, -3, 0
Let j = -13184 + 13187. Let y(c) be the third derivative of 21/40*c**6 + 0*c + 1/2*c**5 + j*c**2 + 7/60*c**7 + 0*c**3 + 0 + 1/6*c**4. Factor y(q).
q*(q + 2)*(7*q + 2)**2/2
Let z(l) be the second derivative of 0*l**4 + 1/72*l**6 + 0*l**5 + 11/6*l**3 + 0*l**2 - 12*l + 0. Let y(n) be the second derivative of z(n). Factor y(w).
5*w**2
Factor 12 + 2*g**2 - 18 - 24 + 67 + 44*g + 5.
2*(g + 1)*(g + 21)
Let f(x) be the third derivative of -x**6/48 + x**5/12 + 5*x**4/2 + 1654*x**2. Factor f(b).
-5*b*(b - 6)*(b + 4)/2
Let h(l) be the first derivative of l**4/2 - 26*l**3/3 - 105*l**2 - 342*l - 787. Factor h(v).
2*(v - 19)*(v + 3)**2
Let y(t) = t**3 + 62*t**2 + 562*t + 51. Let f be y(-51). Suppose -3*z = 6*s - s - 1, 3*z - 2 = -4*s. Determine l, given that 0*l + f*l**z + 1/5*l**3 + 0 = 0.
0
Let f(t) be the first derivative of t**4/3 - 14*t**3/3 - 16*t**2 + 23*t - 47. Let c(x) be the first derivative of f(x). Find h, given that c(h) = 0.
-1, 8
Suppose 5*k - 2*a - 15 + 82 = 0, 0 = 5*a + 20. Let c be k/(-10) - 14/12. Solve 2/3*p - 1/3*p**2 - c*p**3 + 0 = 0.
-2, 0, 1
Suppose 0 = 5168*x - 5059*x - 327. Suppose 3/4*v**5 + 3*v + 0 + 39/4*v**x + 9*v**2 + 9/2*v**4 = 0. What is v?
-2, -1, 0
Let d(n) be the second derivative of 1/48*n**4 - 1/40*n**5 + 0*n**3 + 0 - 7*n + 0*n**2 + 1/120*n**6. Find b, given that d(b) = 0.
0, 1
Let m(h) be the second derivative of -7*h**5/230 - 2246*h**4/69 - 240001*h**3/23 + 206082*h**2/23 - 2939*h. Factor m(g).
-2*(g + 321)**2*(7*g - 2)/23
Find l, given that 7*l**4 - 221*l**3 + 6*l**5 + 197*l**3 + 29*l**4 - 10*l**5 - 64*l**2 = 0.
-1, 0, 2, 8
Find w such that -2*w**2 + 1660857 - w - 3*w - 1660851 = 0.
-3, 1
Let h be (-8 + 9)/(-45)*33/(-88). Let k(z) be the third derivative of -2/15*z**5 - h*z**6 + 0*z + 0 - z**3 - 13/24*z**4 - 33*z**2. Factor k(v).
-(v + 1)**2*(v + 6)
Suppose 41*h = 46*h - 40. Factor -158*k + 12*k**3 + 142*k + h*k**3 - 32*k**2.
4*k*(k - 2)*(5*k + 2)
Let d = -63 - -86. Suppose 6*p = p + 2*n, -5*n + d = -p. Factor 2*y**p - 3*y**2 + 10 + 12*y + 2*y**2 + y**2.
2*(y + 1)*(y + 5)
Let z(c) be the first derivative of -c**5/5 + 1214*c**4 - 2947592*c**3 + 3578376688*c**2 - 2172074649616*c + 57. Factor z(i).
-(i - 1214)**4
Suppose f + 22 = 38. Factor 2*b**2 + f*b + 32 + 0*b**2 - 3 - 5.
2*(b + 2)*(b + 6)
Factor 260/7*a**2 + 6/7*a**3 + 164/7 + 578/7*a.
2*(a + 2)*(a + 41)*(3*a + 1)/7
Let j(m) be the first derivative of 55*m**4/12 + 90*m**3 - 50*m**2 + 100*m + 234. Let f(s) be the first derivative of j(s). Factor f(x).
5*(x + 10)*(11*x - 2)
Let v = -15815/94 + 7978/47. Let v - 1/2*n**2 - n = 0. Calculate n.
-3, 1
Factor -1/10*p**3 - 7/10*p**2 + 0 - 6/5*p.
-p*(p + 3)*(p + 4)/10
Let s be ((-2)/(-30))/((60/(-30))/(-18 + 6)). Let s*t**2 - 28/5*t + 26/5 = 0. What is t?
1, 13
Let c be (-7)/(-2)*(-372)/(-217). Determine f, given that 20 + 6*f**2 - 9*f - f**2 + 2*f**2 - c*f**2 + 0 = 0.
4, 5
Let j(i) = 17*i**3 - 93*i**2 - 236*i - 156. Let u(n) = -14*n**3 + 91*n**2 + 236*n + 156. Let h(o) = -5*j(o) - 6*u(o). Suppose h(g) = 0. What is g?
-78, -2, -1
Let f(i) = -i**3 - 2*i**2 + 5*i + 10. Let v be (1/1 - 4) + (-8 - -8). Let g be f(v). Find x, given that -3*x**2 - 21*x + 10*x + x**2 + g + 9*x = 0.
-2, 1
Let h(z) = 3*z + 29. Let q be h(-6). Suppose -7*p = -q*p + 3480. Factor 3*w**2 - 870*w + p*w.
3*w**2
Let j(a) = -36*a**4 - 36*a**3 + 56*a**2 + 41*a - 10. Let y(m) = 17*m**4 + 18*m**3 - 28*m**2 - 21*m + 5. Let l(i) = 3*j(i) + 5*y(i). Factor l(v).
-(v - 1)*(v + 1)**2*(23*v - 5)
Let h(d) = 12*d + 8. Let m be h(-1). Let g be 5/2 + 1/(3 + m). Determine l, given that -g*l + 0 - 9/2*l**3 - 9/2*l**2 - 3/2*l**4 = 0.
-1, 0
Let d = -45986 + 45986. Factor 4/3*j**3 + 0 - 2*j**2 + d*j.
2*j**2*(2*j - 3)/3
Determine k so that 2/19*k**2 + 624/19*k + 48672/19 = 0.
-156
Factor 62/3*k**2 + 5*k**3 + 1/3*k**4 + 0 + 16*k.
k*(k + 1)*(k + 6)*(k + 8)/3
Factor 15/2*d**2 - 1/2*d**3 + 486 + 144*d.
-(d - 27)*(d + 6)**2/2
Let a(v) = 29*v - 3881. Let h be a(134). Let m(f) be the third derivative of 2/45*f**3 + 0*f - 1/60*f**4 - 22*f**2 + 1/450*f**h + 0. Factor m(o).
2*(o - 2)*(o - 1)/15
Let r(c) be the second derivative of c**6/120 + 43*c**5/80 - 49*c**4/16 - 419*c**3/24 - 115*c**2/4 + 7945*c. Factor r(a).
(a - 5)*(a + 1)**2*(a + 46)/4
Let t(i) be the first derivative of 16*i**3/7 - 86*i**2/7 - 46*i/7 - 1873. What is c in t(c) = 0?
-1/4, 23/6
Let o = -367 + 362. Let m(b) = -8*b**4 + 20*b**3 - 62*b**2 + 6*b + 6. Let g(h) = 6*h**4 - 20*h**3 + 61*h**2 - 5*h - 5. Let a(r) = o*m(r) - 6*g(r). Factor a(s).
4*s**2*(s - 2)*(s + 7)
Factor 2/13*l**3 + 0 + 0*l**2 - 2/13*l**4 + 0*l.
-2*l**3*(l - 1)/13
Let l be -14*(-5)/20*(52 + -4). Find u such that -l*u - 24 + 39*u - 91*u + 76*u**2 = 0.
-2/19, 3
Let d(v) = v**3 + 13*v**2 + 19*v + 27. Let l be d(-13). Let t be 24*11*(-2)/l. Solve -8/5*k**2 + 0*k - 6/5*k**4 - t*k**3 + 0 - 1/5*k**5 = 0.
-2, 0
Let a(n) = 2*n + 83. Let h be a(-36). Factor -6*x**3 - h - 45*x**2 + x**3 + 56 + 2*x + 3*x.
-5*(x - 1)*(x + 1)*(x + 9)
Suppose 28*x - 29*x = 4*p - 14, -2*x - 2 = -2*p. Let v(b) be the second derivative of 3/7*b**2 + 7*b - 5/21*b**p + 1/70*b**5 + 1/42*b**4 + 0. Factor v(w).
2*(w - 1)**2*(w + 3)/7
Let h(u) be the third derivative of 5*u**5/12 - 68585*u**4/24 + 13715*u**3/3 - 5*u**2 - 2*u + 22. Factor h(g).
5*(g - 2743)*(5*g - 2)
Let s = -3631 - -3634. Let h(f) be the second derivative of 0*f**2 + 1/84*f**4 - 28*f + 0*f**s + 0. Determine b, given that h(b) = 0.
0
Let f = 4096 - 1118207/273. Let a(b) be the second derivative of 0*b**2 + 3/130*b**5 + 1/65*b**6 + 16*b + 1/78*b**4 + 0 + 0*b**3 + f*b**7. Factor a(q).
2*q**2*(q + 1)**3/13
Suppose -3*p + 4*n + 96 = 0, 5*n - n + 3476 - 3392 = 0. Factor 0*v**3 + 0 - 1/5*v**5 + 0*v**2 - 11/5*v**p + 0*v.
-v**4*(v + 11)/5
Let n = -38 - -6. Let x = n + 37. Factor -28*a**3 + 3*a - 21*a**2 - 20*a**3 + 93*a**3 - 39*a**4 + 12*a**x.
3*a*(a - 1)**3*(4*a - 1)
Let b(s) = s**2 + 6*s + 1. Let o be b(-4). Let l = o - -12. Suppose 5*m**2 + 5*m**l - 309*m - m**4 - 5*m**3 - 4*m**4 + 309*m = 0. What is m?
-1, 0, 1
Let i = 159 - 134. Let 6 + 120*a**2 + 30*a**4 + 12 + 65*a**3 + 7*a**5 + 75*a + i*a**3 - 4*a**5 = 0. Calculate a.
-6, -1
Factor 128430*u + 135*u**3 + 663*u**2 + 3*u**4 - 127938*u - 159*u**2.
3*u*(u + 2)**2*(u + 41)
Suppose 14 = 5*z + 3*s, -5*z + 3*s = s - 24. Suppose -w = -0*w + z*t - 5, 4*t = 4. Factor -3*v**4 + 9*v**2 - 1 - 4 + 3*v**3 - 3*v - w.
-3*(v - 2)*(v - 1)*(v + 1)**2
Let w(h) be the first derivative of 6/55*h**5 + 0*h + 0*h**2 + 151 - 27/22*h**4 + 0*h**3. Solve w(p) = 0 for p.
0, 9
Let r(s) = 31*s**4 + 28*s**3 + 5*s**2 - 5*s. Let m(b) = 19*b**4 + 16*b**3 + 3*b**2 - 3*b. Let k(t) = -5*m(t) + 3*r(t). Let k(c) = 0. Calculate c.
0, 2
Let a(y) be the second derivative of 0 + 0*y**3 - 1/20*y**5 + 1/10*y**6 + 0*y**2 - 1/4*y**4 + 1/42*y**7 - 81*y. Factor a(x).
x**2*(x - 1)*(x + 1)*(x + 3)
Suppose -17*d + 18*d - 2*y =
|
{
"pile_set_name": "DM Mathematics"
}
|
, 5
Suppose 2*o - 23 = 113. List the prime factors of o.
2, 17
Let g be (-122)/(-4) - (-3)/2. Suppose -g = -m - m. List the prime factors of m.
2
Let o(r) = -r + 11 + 2*r + 0*r. Let c be o(-6). Suppose -c*x = 4*s - s - 62, -1 = s. List the prime factors of x.
13
Let u be (-2)/(-3) - (-35)/15. Suppose 2*o + u = -o, 4*o = -r - 8. Let g = r - -7. What are the prime factors of g?
3
Let l(j) = -9*j - 53. List the prime factors of l(-13).
2
Let i(c) = -8 - c**2 + 3*c**3 - c - 5*c**3 + c**3 + 24. What are the prime factors of i(0)?
2
Let j(k) = k**3 + 10*k**2 + 9*k + 9. Let d be j(-9). Let p = d - -5. List the prime factors of p.
2, 7
Suppose -12 = 4*t, -3*o + 3*t + t = -786. List the prime factors of o.
2, 3, 43
Suppose -46 = -5*d + k, -5*d - 4*k - k + 70 = 0. Let w(x) = x**2 - 8*x - 10. Let b be w(d). Suppose 0*p + b = p. List the prime factors of p.
2, 5
Suppose 98 = 5*s - 3*v, -5*v - 46 = -3*s - 0. What are the prime factors of s?
2, 11
Let n = 69 - 41. List the prime factors of n.
2, 7
Let o = -9 - -11. Suppose o*a + 5*v + 108 = 5*a, 3*a + 3*v - 84 = 0. What are the prime factors of a?
31
Suppose -2*q - 4*z = -310, 0 = -0*q - 2*q - z + 325. What are the prime factors of q?
3, 5, 11
Let z(o) = 20*o + 1 - 2 - 5 + 3. List the prime factors of z(3).
3, 19
Suppose 3*w = 8 - 2. Suppose -9 = 6*t - 7*t + w*u, 5*t - u - 54 = 0. List the prime factors of t.
11
Suppose -213 = -2*c + p, -3*p + 225 = 4*c - 2*c. Suppose c = 4*w - w. List the prime factors of w.
2, 3
Let h(v) = v + 7. Let b(z) = 2*z + 15. Let i(a) = 4*b(a) - 10*h(a). What are the prime factors of i(-15)?
2, 5
Suppose 2*r - 123 - 262 = 5*c, -2*r + 378 = 2*c. Suppose h = 6*h - r. What are the prime factors of h?
2, 19
Let a = 36 + 7. Let b = a + -11. What are the prime factors of b?
2
Let u(w) = -w**2 - 7*w + 7. List the prime factors of u(-6).
13
Let w = 1 - 1. Let z = w - 1. List the prime factors of 4 + (0/3)/z.
2
Suppose -2*j - 4*t + 82 = 0, 0 = 3*t - 6*t - 6. List the prime factors of j.
3, 5
Suppose -3*g - 3 + 51 = 0. Suppose 12 = -3*s, b = s - 5*s - 14. Suppose g = 3*h - b. What are the prime factors of h?
2, 3
List the prime factors of ((-234)/(-45))/(2/10).
2, 13
Suppose -2*h + 2 = -u + h, 5*u + 5*h + 70 = 0. Let k be u/(-6) - (-2)/12. Suppose -k*g + 10 + 4 = 0. What are the prime factors of g?
7
Let u(c) = -c**3 - c**2 - 3*c - 2. Let y be u(-2). Let f(k) = -k + 13. What are the prime factors of f(y)?
5
Suppose -c - 5*r = 16 - 56, -232 = -4*c + 4*r. What are the prime factors of c?
5, 11
Let g = -19 + 181. List the prime factors of g.
2, 3
Let a = -61 + 141. List the prime factors of a.
2, 5
Suppose 9 = 3*p - 522. List the prime factors of p.
3, 59
Suppose 0 = -z - 1 - 6. Let s(i) = i**3 + 7*i**2 + 2. Let n be s(z). Suppose 2*q = 28 + n. List the prime factors of q.
3, 5
Suppose 31 = 5*b + 3*i, 4*b - 9 = -i + 13. Suppose 3*k - 9 = -b*p + 33, -p - 5*k = -26. List the prime factors of p.
2, 3
Let q(c) = -6*c - 9. Let y be q(-4). List the prime factors of (-6)/(-15) - (-384)/y.
2, 13
Suppose -4*q + 6*q = 12. What are the prime factors of (-68)/(-6) + q/9?
2, 3
Suppose -1 = 4*z - 3*v + 10, v = 1. Let w(t) = -14*t - 9. Let j(g) = -7*g - 4. Let c(s) = 5*j(s) - 2*w(s). What are the prime factors of c(z)?
2, 3
Let z be 2/3 + (-15)/9. Let r(w) = -14*w**3 + 2*w + 1. What are the prime factors of r(z)?
13
Let n(j) = 3*j + 9. List the prime factors of n(9).
2, 3
Let p(t) = t**3 + 5*t**2 - 8*t - 8. Let r be p(-6). Suppose 2*q = -4*i + 34, 0*i = -5*q + 5*i + 40. Suppose q = r*w - 9. List the prime factors of w.
5
Let m(i) = -101*i + 38. What are the prime factors of m(-3)?
11, 31
Let y = -9 - -6. Let j(z) = -2*z**2 - z + 3*z + 4*z**2. What are the prime factors of j(y)?
2, 3
Suppose 4*v - 2*v = 208. What are the prime factors of v?
2, 13
Let x be ((-3)/1)/1 + 6. Let a = 6 + x. What are the prime factors of a?
3
Let o(x) = x**2 - x + 3. Let u be o(3). Suppose -u = g + 1. List the prime factors of (2*-1)/(g/55).
11
Let m = 171 + -97. List the prime factors of m.
2, 37
Suppose u = 6*u + 210. Let y = -20 - u. What are the prime factors of y?
2, 11
Suppose -4*s - 4 - 1 = l, 5*s = -4*l - 9. List the prime factors of (2 + 0)/l - -7.
5
Suppose 2*d = -4*p + 100, -5*d + p + 211 = -2*p. Suppose 4*a - 3*c - d = 0, 3*a - 4*c - 22 = c. List the prime factors of a.
2, 7
Suppose 0 = -2*k + 339 + 139. What are the prime factors of k?
239
Let m(o) = o + 2. Suppose -2*s - s + 9 = 0. What are the prime factors of m(s)?
5
Suppose -3*f = -29 + 2. Suppose -f = -r - o, 5*r - 23 = o + 40. What are the prime factors of r?
2, 3
Let c(s) = -s**3 + 8*s**2 + 10*s - 12. Let f be c(9). Let q = f + 5. What are the prime factors of q?
2
Let h = -1 - -40. List the prime factors of h.
3, 13
Suppose 0 = 2*w - 13 + 5. Suppose v = 2*v + w*g + 5, 0 = -5*v - 4*g - 9. List the prime factors of 8/v*15/(-6).
2, 5
Let a(z) = z - 6. Let w be a(8). Suppose w*u - 2 = -16. Let m = u - -14. What are the prime factors of m?
7
Let g = 61 + -7. List the prime factors of g.
2, 3
Let b(k) = k**3 - k**2 + 4. Let c be b(0). Let f be (0/(-2))/(2 - c). Suppose -2*y + 7 + 11 = f. What are the prime factors of y?
3
Let y = 15 + -8. Suppose -d - 1 - 2 = 0. Let v = y + d. What are the prime factors of v?
2
Suppose 6*u - 531 + 27 = 0. What are the prime factors of u?
2, 3, 7
List the prime factors of (-4 + 157)/3 + 2.
53
Let r(m) = m**3 + 2*m**2 - 1. Suppose 5*p - 5 = 0, 3*p - 7 = 4*k - 0. Let u be r(k). Let c(t) = -t**2 + 6. What are the prime factors of c(u)?
2, 3
Suppose 48 = -v + 5*v. Suppose 0*t = -3*t - 2*u - v, 5*t = 4*u + 2. What are the prime factors of (-1 - 1/t)*-14?
7
Suppose -5*v + 0*v = 5, 5*a - 5*v - 15 = 0. List the prime factors of a/8 + 165/12.
2, 7
Suppose 3*h - 4 = -h. Let l be 2*(-3 - (-7)/2). Let n = h + l. List the prime factors of n.
2
Let v(o) = 9*o**2 - 7. What are the prime factors of v(3)?
2, 37
Suppose 75 = 5*o + k - 3*k, -3*o + 4*k = -59. Let s = o + -4. List the prime factors of s.
3
Suppose 0*i = 2*i - 6. Suppose 2 = -2*x + v + i*v, -4*x + 2 = -5*v. Suppose p - 4 = q + 6, -3*p + 6 = x*q. List the prime factors of p.
2, 3
Let c be 16/(-12)*6/(-4). Suppose 4*d = -c*z + 56, -5*d - 12 = -32. Suppose 3*x + 57 = 4*t + z, -4*x = 5*t - 54. What are the prime factors of t?
2, 5
Suppose 2*m + 2*q - 6 = 0, -2*q + 0 + 6 = -2*m. Let t = 0 - m. Suppose t = 2*n + n - 21. What are the prime factors of n?
7
Suppose 0*j = 2*j + 4. Let t be -3 - -1 - (-4 + j). Suppose -t*y + 5 = -11. What are the prime factors of y?
2
Let h(f) = -f**2 + 3*f + 13. Let p be h(9). Let y = 68 + p. List the prime factors of y.
3
Suppose 2*o = o. Let a = 2 - o. Let c = 2 + a. List the prime factors of c.
2
Suppose 5*p = 11 + 9. Let k(x) = 2*x**2 - 4*x - 5. Let y be k(p). Let w = y - 7. List the prime factors of w.
2
Let l = 248 - 3. Suppose -6*y + l = -y. List the prime factors of y.
7
Let b be 2/(1 - 8/10). Suppose 2*f - b = -4. List the prime factors of f.
3
Suppose -533 - 139 = -4*x. What are the prime factors of x?
2, 3, 7
Let g be 24/9*(-15)/(-2). Suppose g = -4*x, -3*f + 2*x + 15 = -7. What are the prime factors of 86/18 - f/(-18)?
5
Let b = 12 - 10. What are the prime factors of b?
2
Suppose -4*v - 2 = 14, -2*v - 13 = -w. Suppose -w*y = -3*y - 8. What are the prime factors of y?
2
Let z = -57 - -235. List the prime factors of z.
2, 89
Suppose 52 = -8*i + 6*i. Let m = 64 + i. What are the prime factors of m?
2, 19
Suppose -7*m = -2*m - 175. List the prime factors of m.
5, 7
List the prime factors of 0 + (1870/8 - (-1)/4).
2, 3, 13
Let w(y) be the third derivative of y**5/60 - y**4/4 - 2*y**3/3 - 2*y**2. Let k be w(7). Suppose k*b - 70 = -28. List the prime factors of b.
2, 7
Suppose -10 = -0*n - 2*n. Suppose -5*m = n*h + 10, 5*h + 7 = -4*m - 5. What are the prime factors of m?
2
What are the prime factors of (52/(-65))/((-1)/70)?
2, 7
Suppose 3 - 7 = -d. Suppose 0 = -0*z + d*z - 132. What are the prime factors of z?
3, 11
What are the prime factors of 5/(-20) - 2*(-634)/16?
79
Suppose -2*j + 5*k + 54 = 0, 0*j + 3*j + 3*k = 102. List the prime factors of j.
2
Let p(j) = -1 + 5*j + j + 6*j. What are the prime factors of p(1)?
11
Suppose l = 1 + 3. Suppose -k + 2*k = -l. List the prime factors of (-2)/k - 13/(-2).
7
Suppose 3*s - s - 20 = 0. Suppose -4 = -4*m + 5*l
|
{
"pile_set_name": "DM Mathematics"
}
|
u**2 + 10*u - 8. Let v be i(5). Let p be (268/(-8))/(-1 + (-106)/v). Let c = -1119 + p. What is c rounded to the nearest one hundred?
700
Let d = -2.7058 - 0.4632. Let u = d + 1.262. Let f = 0.007 + u. What is f rounded to zero decimal places?
-2
Let x = -28.1964 - -0.3994. Let o = -27.1 - x. Round o to the nearest integer.
1
Let u = -26920.044 - -26974. Let r = u - -0.044. Let d = -53.95 + r. Round d to 1 decimal place.
0.1
Suppose 4*r + 7550 = -4*o - 2*r, -r = o + 1890. Let g = 850 + o. Round g to the nearest one hundred.
-1000
Let f = -55 - -59.2. Let b = -2.58 + f. Let k = -1.262 + b. Round k to one decimal place.
0.4
Let k be (2/(-3))/(4/6). Let i(u) = 2173*u**2 - 4*u - 5. Let f be i(k). What is f rounded to the nearest one hundred?
2200
Let d be (2/(-5))/(2/10). Let n(g) be the second derivative of -25*g**4/12 + 5*g**3/6 + g**2/2 - 773*g. Let i be n(d). What is i rounded to the nearest ten?
-110
Let h be (331/(-2) + -4)/((-2)/(-4284)). Let n = -181831 + h. Round n to the nearest 10000.
-540000
Let o(g) be the second derivative of -411*g**5/20 - g**4/3 - 13*g**3/6 - g**2 + 37*g. Let c be o(6). What is c rounded to the nearest 10000?
-90000
Suppose 0 = 3*h - 9, 0*h = 2*s + 5*h - 41. Let r(t) = 25*t + 149. Let z be r(s). Round z to the nearest ten.
470
Let i = -1175 - -113. Let t = 1062.000007284 + i. What is t rounded to 6 decimal places?
0.000007
Let q = -48876 + 9454. What is q rounded to the nearest 100?
-39400
Let u be 2/(95/(-24) - -4). Let m = u - 43. Suppose 2916 - 32416 = -m*q. What is q rounded to the nearest one thousand?
6000
Let h be 10*(-56)/(-40) - -43826. Round h to the nearest ten thousand.
40000
Let u = 3908 + -3907.9997443. What is u rounded to 5 dps?
0.00026
Suppose 2*s + s - 5*b = 102, 0 = 3*s + 2*b - 81. Suppose -4*m - s = -161. Round m to the nearest ten.
30
Let o(i) = 2*i + 25 + 788*i**2 - 789*i**2 + 3*i. Let w be o(8). Let j be 9/((-27)/508)*(w - 7501). Round j to the nearest one million.
1000000
Let r = -0.0474 - 221.9526. Let v = r - -222.00211. Round v to four decimal places.
0.0021
Let r = 12661766.11 - 11994286. Let b = -667764.1099385 + r. Let a = 284 + b. Round a to 6 dps.
0.000062
Let b = 2397 + -2395.753. Let c = b - 0.814. Round c to one decimal place.
0.4
Let c = -1243.0746 + 1243. Round c to one decimal place.
-0.1
Let f = 129.529 - 149.06. What is f rounded to the nearest integer?
-20
Let v = -50565.9999968267 - -50566. Round v to 7 decimal places.
0.0000032
Let q = -769.37 + 107.67. Round q to the nearest ten.
-660
Let i = -56 - -61. Suppose -14 = -5*r + j, -7*j + 5*j + 17 = i*r. Suppose r*k - 2*q - 1074000 = 0, 0 = -2*q - 0*q. Round k to the nearest ten thousand.
360000
Let s = 2845428.10111 - -0.89889. Let v = s + -2845693.9557. Let t = v - -265. What is t rounded to three decimal places?
0.044
Let k = 13.2831 - 12.358. Let l = -1.0183 - -0.0983. Let c = k + l. What is c rounded to 3 dps?
0.005
Let x = 8.3 - 8.52. Let c = x + 314.22. Let l = -308.24 + c. What is l rounded to the nearest integer?
6
Let t = -13735020.00207 - -13734700. Let z = -320 - t. Round z to 3 dps.
0.002
Let x = -80064 - -80063.966611. What is x rounded to 3 dps?
-0.033
Let j = -37 + 52.5. Let d = j - 14. Let g = d - 1.49999914. Round g to 7 decimal places.
0.0000009
Let q(i) = -345*i**2 + 14*i - 1. Let t(w) = 5*w + 1 - w - 3*w. Let c(f) = q(f) + 5*t(f). Let p be c(4). Round p to the nearest 1000.
-5000
Let m = 146 + -136.7. Let k = m - 10. What is k rounded to zero decimal places?
-1
Let r = -909716 - -909717.150158. Let m = 1.15 - r. Round m to four decimal places.
-0.0002
Let n = -575.592860075 + -0.406541925. Let y = 5037 + -5613. Let x = n - y. Round x to 4 decimal places.
0.0006
Let x = 31.03 - -2.17. Let d = x - 167.3. Round d to the nearest 10.
-130
Let j = 194.2 - 183. Let v = -5.4 + j. What is v rounded to 0 dps?
6
Let g = -0.2072 + 0.207453805. What is g rounded to 5 dps?
0.00025
Suppose -4*u - 341227 = 252533. Round u to the nearest ten thousand.
-150000
Let a = 345898.522 + -345417. Let r = -482 + a. Round r to 1 decimal place.
-0.5
Let p be 120 - (0 + -5 + 4/4). Let o be -6*((-475)/(-2))/((-1)/p). What is o rounded to the nearest 10000?
180000
Let k = -17.585010037 + 17.585. Round k to 6 dps.
-0.00001
Let m(x) = -46*x**3 + 2*x**2 - 2*x - 1. Suppose 21*y + 32 = 5*y. Let h be m(y). What is h rounded to the nearest one hundred?
400
Let j be (-3)/((24/(-4660))/(-6)). Let g = j - 615. Round g to the nearest one thousand.
-4000
Let d = 3826854553 - 1875748296. Let i = d - 1951105439.999521. Let h = -817 + i. What is h rounded to 5 decimal places?
0.00048
Let l = -0.01563052 + 0.01565. What is l rounded to 6 dps?
0.000019
Let f = -6970 + 12254. Let l = 2374 - f. Round l to the nearest 1000.
-3000
Let c be 5002578/(-5) + 164/(-410). Let s = c - -1424516. What is s rounded to the nearest 100000?
400000
Let w be ((-25166)/3)/(70/(-6510)). Let m = -254146 + w. What is m rounded to the nearest one hundred thousand?
500000
Let f = -119520 - -76959. Let z = f + 1061. What is z rounded to the nearest ten thousand?
-40000
Let x be (0 + (-1)/3)*-6. Let c be -6 + 6 + (2 - x - -4). Suppose k + 2*q - 1632 = 4196, -3*k + 17494 = -c*q. Round k to the nearest one hundred.
5800
Let p be 2/(1 + (-2905)/2903). Let y = -559 - p. Suppose 2656 = m - y. Round m to the nearest ten thousand.
10000
Let o = 4205.95931 - 4206. Round o to three dps.
-0.041
Let d = -6412.0323 - 0.9677. Let j = -6413.000002969 - d. Round j to 6 dps.
-0.000003
Let t = 19388439.399815 + -19388485. Let l = t + 45.6. What is l rounded to 3 decimal places?
0
Let m = -1710957 + 1710954.8000054. Let v = 40 - 42.2. Let k = m - v. What is k rounded to six decimal places?
0.000005
Suppose -2*h - 80 = -3*h. Suppose h = 4*z - 2*z. Suppose 3*r - z = r. Round r to the nearest one hundred.
0
Let t = -75.1 + -5.9. Let c = t - -80.999999681. What is c rounded to seven dps?
-0.0000003
Let p = -1.1458 - -1.1470138. What is p rounded to 3 dps?
0.001
Suppose -j - k - 11 = 0, k - 1 = -5*j - 36. Let f(p) = -3345*p**3 - 2*p**2 - 6*p - 1. Let m be f(j). Let h = 1662483 - m. Round h to the nearest 100000.
900000
Suppose 3*m = -f - 0*f - 56367, m - 4*f = -18789. Round m to the nearest 100.
-18800
Let r = 5.914 - 108.154. Let h = r - -0.24. Let m = 119.8 + h. What is m rounded to the nearest integer?
18
Let b = 141 - 133. Let j(x) = 5270*x - 35. Let t be j(b). Let i = -78525 + t. Round i to the nearest one thousand.
-36000
Let d = -0.1149 - 702.8851. Let y = d - -702.9883. Round y to three decimal places.
-0.012
Let j = -19 - -24. Let d(v) = -2*v**2 + 9*v + 3. Let k be d(j). Let m(p) = -6875*p**3 - p - 2. Let w be m(k). What is w rounded to the nearest 10000?
60000
Let u = -122 + 78. Let b = u - -40.54. Round b to 1 decimal place.
-3.5
Let j = -671.774 - -673. Let x = -7.296 + j. Round x to zero decimal places.
-6
Let h = -91.53 + 91.537071. Round h to three decimal places.
0.007
Let z = 376.2 - -96.8. Let v = z - 472.9999868. What is v rounded to 5 decimal places?
0.00001
Let v = 233.3 - 107.6. Let u = v - 139. Let h = -13.2496 - u. What is h rounded to 3 dps?
0.05
Let q = 298 + -295. Let c be (-6 + (-64)/q)*-60. Round c to the nearest 1000.
2000
Let g = 24323 - 24320.90252. Let b = -3.32677 + g. Let y = b - -1.23. What is y rounded to 4 dps?
0.0007
Let h = -541 + 554. Suppose -650451 = -h*o - 4598551. Round o to the nearest ten thousand.
-300000
Let v = 8.198123 - -0.014277. Round v to zero decimal places.
8
Suppose -5*x = 729*w - 731*w + 2941970, -4*x + 24 = 0. Round w to the nearest one million.
1000000
Let u = 14732 - 14419.96. Let o = u + -317. What is o rounded to one decimal place?
-5
Suppose 0 = 5*n - 3*d - 5, -2*n - 9*d + 10*d + 3 = 0. Suppose f = -4*j - 3243997, -2*f - 3244009 = n*j - 5*f. Round j to the nearest one hundred thousand.
-800000
Let n(f) be the second derivative of 0 - 5*f**2 - 3/2*f**3 - 1/12*f**4 + 14*f. Let a be n(25). What is a rounded to the nearest one hundred?
-900
Let w = -272 - -272.86. Let f = -1.0025 - -0.1409. Let q = w + f. What is q rounded to 4 decimal places?
-0.0016
Let i = 0.0456 + -943.0456. Let q = i + 892.5. Round q to the nearest 10.
-50
Let k = 28809828 - 28810686.00228. Let p = -858 - k. Round p to 4 dps.
0.0023
Let g be (-38)/1*(-36)/(-24). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
the highest common factor of 28 and a.
7
Let f(r) = -3*r - 9. Let y = -7 - 0. Let k be f(y). What is the greatest common factor of k and 36?
12
Suppose 5*z - 157 = 5*v - 22, 4*z + 3*v = 87. Let j = z + -52. Let c be (49/j)/((-1)/12). Calculate the highest common divisor of c and 21.
21
Suppose 0 = -c - 3*c + 4. Let h = 148 + -147. What is the greatest common divisor of h and c?
1
Suppose -4*a + 4 = -4. Suppose -m - a*m = 117. Let h = m - -75. Calculate the greatest common factor of h and 4.
4
Let u be ((-52)/(-14))/(8/56). What is the highest common factor of u and 286?
26
Let z = -9 - -12. Suppose 2*i = -z*i + 60. Calculate the greatest common factor of 12 and i.
12
Suppose -3*z - 1 + 15 = -2*y, 0 = 3*z - 5*y - 26. Suppose z*o = 7*o - 315. Suppose 4*u - 23 = 5. What is the highest common divisor of o and u?
7
Let j be 14 + 1*(-1)/2*8. What is the greatest common factor of j and 8?
2
Suppose -w + 5*w - 3*g = 209, 5*w - 238 = -4*g. What is the highest common divisor of 30 and w?
10
Let y(q) = q**3 + 5*q**2 - 8*q - 9. Let i be y(-6). Suppose i*w + 6 = 39. Let t be 12*((-165)/12)/(-5). What is the highest common divisor of t and w?
11
Suppose -4*t = 3*h - 0 - 1, 2*h - 1 = -3*t. Suppose 0 = -b + t + 8. Suppose o = 5*y + 45, o - 45 = -0*o - y. Calculate the greatest common divisor of o and b.
9
Let n(p) = -7*p - 13. Let a be n(-10). Let c be 380/a*18/4. What is the greatest common factor of 20 and c?
10
Suppose 0 = -2*m - 2*m - 8. Let p = m - -4. Calculate the highest common divisor of p and 16.
2
Suppose 3*v + 2*u - 76 - 487 = 0, -2*u + 185 = v. Let x(m) = -27*m. Let q be x(-1). Calculate the greatest common divisor of v and q.
27
Suppose 4*m - 120 = -5*h + 99, -110 = -2*h + 4*m. What is the greatest common factor of h and 517?
47
Let z = 2 + 2. Suppose -87 = -z*a + a. Calculate the highest common divisor of a and 319.
29
Let y(v) = -v**3 + 19*v**2 + 2*v + 2. Let l be y(19). What is the greatest common divisor of l and 100?
20
Let p be 0 + -2 + (-12)/2. Let z(y) = 7*y. Let s be z(-1). Let w be (p - -1)*18/s. What is the greatest common divisor of w and 27?
9
Let r be (-8)/(-20) + (-96)/(-10). Calculate the highest common divisor of 70 and r.
10
Suppose 0 = -0*j + 4*j - 16. Suppose -120 = -j*i + i. Calculate the greatest common factor of i and 8.
8
Let x be (-171)/6 + 3/(-2). Let m be (x/(-4))/((-24)/(-64)). Calculate the highest common factor of m and 20.
20
Let o = -121 - -201. Calculate the greatest common factor of o and 16.
16
Let w be (3/2)/((-1)/(-2)). Suppose -w*u + 12 = -15. Let d = 2 + 7. Calculate the greatest common factor of d and u.
9
Let k = -303 - -645. What is the greatest common divisor of k and 38?
38
Let w be (5 + -6)/(1/(-13)). Calculate the greatest common factor of w and 104.
13
Let j be (5/(-10))/((-1)/64). Calculate the highest common factor of j and 16.
16
Let a be ((-2)/5)/((-2)/180). Let i be 216/(-6)*(-1)/2. What is the greatest common factor of i and a?
18
Let t be (-146)/(-6) + 1/(-3). Calculate the highest common divisor of t and 12.
12
Let t(p) = p**2 - p + 4. Let j be t(4). Let x = -3 - -6. Suppose x*f = 7*f - 320. What is the highest common divisor of j and f?
16
Suppose -4*p + 2*p = -10. What is the greatest common divisor of p and 5?
5
Let j be 2 + 1 + -2 - -20. Suppose -4*z + 3*r - 1 = -4, -9 = 2*z - 5*r. What is the greatest common factor of z and j?
3
Let n = 267 - 183. Let y be 2/(-6) - 507/(-9). What is the highest common divisor of y and n?
28
Let y(b) = 108*b**2 + 2*b - 2. Let z be y(1). Suppose 3*g + z = 3*m, -2*m + 0*g + 63 = g. Calculate the highest common divisor of 11 and m.
11
Let r be -2*(27/6)/(-1). Suppose 0 = -4*k + k - r. Let m(q) = -q**3 - 2*q**2 - 5*q - 4. Let o be m(k). Calculate the greatest common factor of o and 140.
20
Let d be (-6)/(-9) + 3/9. Let n(l) = 0*l + l - 4 - 2*l. Let c be n(-6). What is the greatest common factor of d and c?
1
Let k be ((-15)/3 - -4)/((-2)/10). What is the highest common factor of 5 and k?
5
Suppose -4*j = -3*j - 69. Calculate the greatest common factor of 23 and j.
23
Let m be 2 - 1 - (0 + -3). Suppose m*c + 0*c = 68. Calculate the highest common divisor of c and 153.
17
Let n(k) = -4*k + 6. Let z be ((-1)/3)/(3/(-45)). Let g be n(z). Let d = 22 - g. Calculate the greatest common divisor of d and 18.
18
Let p(i) = 3*i**3 + i**2 - i + 1. Let u = -4 - -5. Let x be p(u). What is the greatest common factor of x and 1?
1
Suppose 0 = -h + 3*h. Suppose -2*i + 4*i - 80 = h. What is the highest common divisor of 16 and i?
8
Suppose d - 47 = 5*p + 50, -2*d = -2*p - 162. What is the highest common factor of d and 11?
11
Let g(d) = -d**2 + 4*d. Let c be g(3). Suppose -a - c + 4 = 0. Let u be ((-13)/(-2))/(a/2). What is the greatest common divisor of 104 and u?
13
Suppose 0 = 5*t - d - 46, 6*t = 5*t + 2*d + 11. Let v = 172 + -109. What is the greatest common divisor of v and t?
9
Let a be (-26)/6 + (-6)/9. Let k(j) = -j. Let t be k(a). Suppose -69 = -t*x + 66. What is the greatest common factor of x and 9?
9
Let s(x) = -x + 27. Let m be s(10). What is the highest common divisor of m and 68?
17
Suppose -8 = -2*w - 0. Suppose v = 3*z - 36, 4*z = 2*z - w*v + 38. Calculate the highest common factor of z and 39.
13
Let g be 7080/84 + (-2)/7. What is the highest common divisor of g and 12?
12
Let w(u) = -u + 3. Let g be w(-8). What is the greatest common divisor of g and 11?
11
Let y be -4 + -14*(-34)/4. Calculate the greatest common factor of y and 23.
23
Let i be 2/(((-56)/12)/7). Let a be (117/52)/(i/(-64)). What is the highest common divisor of a and 6?
6
Let k = 0 + 6. Let g be k/(-27) - (-274)/18. Suppose 5*b - g = 4*b. Calculate the highest common factor of b and 15.
15
Let n be 28 + 0 + -4 + 4. Calculate the highest common factor of n and 28.
28
Let z be (-4)/22 - 46/(-11). Suppose -2*q = 5*i + 16, -q + 2*i = 2*q - 14. Suppose q = z*s - 10. What is the greatest common divisor of s and 6?
3
Suppose -10*u = -5*u - 500. What is the greatest common factor of 20 and u?
20
Let n be 4/(2 - 12/9). Suppose -14 = -5*o + n. Let p = 113 + -81. Calculate the highest common divisor of p and o.
4
Let q = 6 + -9. Let s = q + 0. Let t be s/(9/(-147)) + -1. What is the highest common divisor of t and 32?
16
Let a(u) = -u**2 + 4*u + 5. Let m be a(5). Suppose m = 4*r - 613 + 217. Calculate the greatest common divisor of r and 9.
9
Let j be ((-18)/15)/(2/(-10)). Calculate the highest common factor of 2 and j.
2
Let r = -2 - -7. What is the greatest common factor of 20 and r?
5
Let n(j) = -j**3. Let i be n(0). Suppose 0 = -5*g - 0 - 5, 2*h + g - 27 = i. What is the highest common factor of h and 21?
7
Let h(o) = o**2 - 11*o - 18. Let i be h(15). Calculate the greatest common divisor of 14 and i.
14
Let m(l) = 16*l**2 - 2*l + 1. Let u be m(1). What is the greatest common factor of u and 15?
15
Let l be 1 + (2 - 0) + -2. Let u be -1*l - (0 + -10). What is the greatest common factor of u and 1?
1
Let y be (-302)/(-8) + (-3)/(-12). Let m = -21 + y. Calculate the greatest common divisor of m and 136.
17
Suppose 10*o - 3*o - 294 = 0. What is the greatest common factor of o and 28?
14
Let o = 29 + -15. Suppose 5*z - 2*a - 348 = 0, -2*a = z - 7*a - 65. Calculate the greatest common divisor of z and o.
14
Let y(z) = z**2 - 7*z + 8. Let x be y(6). Suppose 32 = x*m - 4*r - 62, 5*m - 257 = -r. Calculate the highest common factor of m and 17.
17
Let i(u) = 35*u**2 + u - 1. Let v be i(1). Suppose 2*z + 2*l - 20 = 0, 5*z - 47 - 11 = -3*l. What is the greatest common divisor of z and v?
7
Suppose -2*g + 12 = 2*k - 0*g, -5*g - 15 = 0. What is the highest common divisor of k and 9?
9
Suppose 0 = -2*w - 6*w + 1408. What is the greatest common divisor of w and 16?
16
Suppose -z = -0*z - g - 28, 4*z - 2*g - 106 = 0. Suppose r - 8 = -u, 0 = 2*r + 2 + 2. Calculate the greatest common divisor of u and z.
5
Suppose -6 = -0*o - o. Let j be 1*(-236)/(-6)*-3. Let v be 12/48 - j/8. Calculate the highest common divisor of o and v.
3
Let m(u) = 181*u**3 - 3*u**2 - u + 1. Let r be m(-1). Let d be (-10)/15 + r/(-3). Calculate the highest common divisor of 24 and d.
12
Let u(h) = 7*h**3 + 3*h**2 - 2*h. Let g = 1 + 1. Let q be u(g). Suppose -l - l = 4*i - 46, -4*l - i = -q. What is the greatest common divisor of 165 and
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-4
Solve 2*r - 19 = 5*g, -3*r + 227 = 236 for g.
-5
Solve -4*h = z - 40076 + 39968, -5*h = 3*z - 128 for z.
-4
Solve 231*w - 226*w + 5 = 0, 13 = -2*h - 3*w for h.
-5
Solve 63569*x - 63564*x - 4*z = -105, 7*x + 150 = 5*z for x.
-25
Solve -747*f + 30 = -742*f, -5*j + 5*f - 5 = 0 for j.
5
Solve z - 18 = -4*u - 0*u, 0 = -z + u - 7 for z.
-2
Solve -63*r + 66*r - 35 = 5*q, -3*r + 27 = -3*q for q.
-4
Solve 0 = -4*s - 5*y + 45 - 9, 3*y = 12 for s.
4
Solve 2*k - 14 + 28 = -2*b, -43*b + 2*k = 301 for b.
-7
Solve 12*f - 75 = 2*w - 121, 2*f - 4*w + 4 = 0 for f.
-4
Solve 11*w + 0*w - 6 = 8*w, -5*s + 8 = 4*w for s.
0
Solve -4*x - h = 11, 3*x + 8*h = 43 - 73 for x.
-2
Solve -65*a - 3*i = -60*a - 6, -6*i + 39 = a for a.
-3
Solve 5*v + 5*x + 94 - 84 = 0, -4*x + 22 = -2*v for v.
-5
Solve -4*r + 4*d = 16, 0 = 2832*r - 2830*r - d + 1 for r.
3
Solve -5*t - b - 24 = 0, -1 = -4*t - 3*b - 18 for t.
-5
Solve 2*u = -4*a - 28, 0 = 66*a - 70*a + 2*u - 36 for a.
-8
Solve -36 = 4*x + 4*q, 5*x + q + 172 = 143 for x.
-5
Solve 2*s + 7 = -d, 0*d + 5*s + 17 + 8 = -d for d.
5
Solve -5*p - 1 = 15*z - 12*z, 3*z - p = -7 for z.
-2
Solve 0 = -3*r + 5*b + 3, 5*r - 5*b - 1137 + 1122 = 0 for r.
6
Solve 465*z + 42 = 459*z, -x + 3*z = -19 for x.
-2
Solve -4*s - 16 = 3*r, -9*r - 28 = -2*s + 6 for s.
-1
Solve 4*z + 4*k = 24, 1882*k - 1883*k = -5*z + 24 for z.
5
Solve 4*g + 64391*x + 9 = 64394*x, -5*g - 2*x - 40 = 0 for g.
-6
Solve 221*y = 228*y + 2*q - 76, 5*y - 6*q - 84 = 0 for y.
12
Solve 2*n = -2*s + 8, 0 = 6*s - s + n - 12 for s.
2
Solve 2*g + 13 = 5*p, -34*p = -39*p + 5 for g.
-4
Solve 5*y + 110*u = 115*u + 5, 2*u - 28 = -30*y + 26*y for y.
5
Solve -4*g + 3*z + 33 - 46 = 0, 3*z = -3*g + 6 for g.
-1
Solve 5*v + 17 = -4*p - 9, 1 = -5*p - v for p.
1
Solve 3*z + 4*w - 3 = 0, 10 - 28 = 5*z - w for z.
-3
Solve 4*n = -2*j + 30, -4*n - j - 2853 = -2878 for n.
5
Solve 2*s - 20 - 32 = -5*g, -4*s - 64 = -4*g for g.
12
Solve 5*o = -5*c + 5, 15*c + 8 = 4*o + 20*c for o.
-3
Solve -q + 9 = -3*t, -t + 1 = 42*q - 41*q for q.
3
Solve -2*q + 13 = 5*i, -3*q + 2*i = 21214 - 21281 for q.
19
Solve -2*n - 5*q = 12 - 45, 4*q = -3*n + 32 for n.
4
Solve 0 = 3*z - 2*w - 15, 4*z + 813*w = 816*w + 22 for z.
1
Solve 2*c = z + 9, z = 4*c - 21*c - 9 for z.
-9
Solve 2*a - 10 + 19 = s, 0 = -4*a + 3*s - 19 for a.
-4
Solve i - 3 + 12 = -3*u, 3*u = 2*i for i.
-3
Solve 0 = 2*x + 5*r + 25, -11144*x + 11148*x + 2*r = -26 for x.
-5
Solve -307*m - 8 = -305*m + k, 3*m + 14 = -2*k for m.
-2
Solve -48*a + 49*a - 2 = 2*p, 2 = 5*p + a for p.
0
Solve 35*h - d - 33 = 40*h, 28 = -4*h - d for h.
-5
Solve -102*u - 46 = -93*u + 4*j, -3*j = -3*u + 15 for u.
-2
Solve -4*g - 193 = g + 45*w + 16*w, g - 4*w - 10 = 0 for g.
-2
Solve 4*g + 2*x - 24 = 0, 3*x - x + 1672 = 1680 for g.
4
Solve -39 = 8*d + 885*j - 882*j, -5*j = -4*d + 13 for d.
-3
Solve -2*k = -10, 1506*k + 55 = 13*a + 1504*k for a.
5
Solve 0 = 22*y - o + 46, 5*o - 17 = -3*y - 13 for y.
-2
Solve 0 = 4*u - 35*k + 93, 78*u + 30 = 83*u + 5*k for u.
3
Solve -c + 1 = -4*z, -11 = 2*c - 4*z + 9*z for c.
-3
Solve -2356*r + 2352*r - 60 = -4*h, 3*r + 2*h - 5 = 0 for r.
-5
Solve 35 - 89 = -8*g + 2*f, -16 = g + 3*f for g.
5
Solve 305*s = 324*s - 76, -4*b + 14 - 2 = -s for b.
4
Solve -4*t - 4 = 0, -3*b + 277*t + 18 = 274*t for b.
5
Solve q = -3*b + 3 - 2, -11*b - 23 = -3*q for b.
-1
Solve 2*u - 24 = 13*h - 9*h, -3*h - u - 8 = 0 for h.
-4
Solve n = 4*x - 15, x + 8*n = 10*n - 5 for x.
5
Solve 3*r + 28 = -5*y + 65, -5*y = -3*r - 13 for r.
4
Solve -3*y = 6, 5*v + 21*y + 52 = 15*y for v.
-8
Solve 3*w - 1 = -11990*k + 11992*k, 3*w - 17 = -2*k for k.
4
Solve i = 13*l + 5*i - 3, -2*l - 6 = -i for l.
-1
Solve h - 1 = 4*c, -c = 3*h + 89 - 79 for h.
-3
Solve -z = 13, 4*z + 3392 = 2*k + 3334 for k.
3
Solve 109*p = 114*p - u + 18, -2 = 2*p - 3*u for p.
-4
Solve 2*x - 6 = -2*y, -3*x - y = 22 - 31 for x.
3
Solve 0 = 2*h - 3*m + 9, h - 143*m = -145*m + 6 for h.
0
Solve -10*j = -5*j - 35, 9*r - 13*r - 41*j = -307 for r.
5
Solve -975*x + 8*v + 17 = -970*x, -5*v - 23 = x for x.
-3
Solve 0 = -2*s - 5*t - 1, -21 = -2*s - 84*t + 101*t for s.
2
Solve -1 = i - o, -i + 47 = -4*o + 51 for i.
0
Solve 1056*d - 1061*d = 3*u - 12, 0 = 2*d for u.
4
Solve p - 29433 = -m - 29424, -m - 15 = -2*p for m.
1
Solve 2*b - 36 = 7*w, 0 = 5*b + 2*w - 22 + 10 for b.
4
Solve -12*o + 4*o - i - 8 = 3*i, 0 = -2*i for o.
-1
Solve 4*n + 7*l + 44 = 0, 0 = 3*l + 37 - 25 for n.
-4
Solve 3*j + 15 = -4*v, 8*v + 20 = 3*v - 5*j for v.
-3
Solve 4 = -j + 3*a, -3*a = -5*j + 3 + 1 for j.
2
Solve -4*b = 2*i - 14, -3*b - 452 + 458 = 0 for i.
3
Solve -7*k + 8*k + 5*t = -17, 5*t = 4*k - 32 for k.
3
Solve -19*a + 22*a + 5*l + 51 = 0, 5*a = 2*l + 39 for a.
3
Solve 2*g = -283*j + 279*j + 12, 5*j = 3*g + 15 for g.
0
Solve 4*d + 229*r - 234*r = 51, 3*r = -21 for d.
4
Solve -252*j + 250*j = 4*n - 10, 0 = -5*j + 4*n + 53 for j.
9
Solve -6*r - 36 = 4*o, -29*r = -32*r - 24 for o.
3
Solve f - g = 7, 58 + 39 = 3*f - 41*g for f.
5
Solve -3*g + 4*t - 6 = 0, -3*g - 28*t + 22*t = 6 for g.
-2
Solve -595*f + 598*f - 4 = -2*j, 5*f = -j + 9 for j.
-1
Solve 0 = -a + y - 2 + 10, 5*a + 7*y = -92 for a.
-3
Solve 3*v = -159*i + 163*i + 19, -4*i + 6 = 2*v for i.
-1
Solve 3*l - 78*w + 74*w - 26 = 0, 0 = -2*l - 4*w - 16 for l.
2
Solve 4*w = 3*j - 34247 + 34238, -j + w + 3 = 0 for j.
3
Solve -3*u = 5*h - 1, -3*h + 9 = -4*u - 9 for u.
-3
Solve 4*i = 3*q + 13, 0 = -5*i - 2*q - 14 + 13 for i.
1
Solve 4*k = -4*n - 32, 262 = 3*k - 4*n + 272 for k.
-6
Solve 977*p = 976*p + u - 11, 38 = -p + 4*u for p.
-2
Solve 71 = -5*m + 4*g, 3*g + 158 = 5*m + 225 for m.
-11
Solve 5*s + 6 = x, 3*s + 493 - 499 = 3*x for x.
-4
Solve 10*s = 5*d + 55, -13 = -d + 5691*s - 5693*s for d.
1
Solve 93*g - 49 = 96*g + 5*p, 3*g = -8*p - 82 for g.
2
Solve 31*q = -5*w + 39*q - 2, -5*w = 5*q - 50 for w.
6
Solve 2*w - 5*g - 15 = 12 - 19, 0 = w - 8*g - 4 for w.
4
Solve -4*o = 4*t + 9 - 5, 0 = 5*o - 5 for t.
-2
Solve -4*a - 4*m = 16, 3*a + 36*m = 39*m for a.
-2
Solve -2*b + 45*k - 44*k + 5 = 0, -b = -4*k + 8 for b.
4
Solve 5*z = -3*d - 3, -39 + 42 = -z for d.
4
Solve -2*b = -2*d - 95 + 103, -b - 5*d + 2 = 0 for b.
-3
Solve -5*d - t = 16, 2*d = -t + 51 - 58 for d.
-3
Solve -g + 7045*c = 7042*c, 5*g = -3*c - 18 for g.
-3
Solve 5*h + 5*d - 92 = -62, 0 = h - 3*d + 10 for h.
2
Solve 3*o - 20 + 7 = -5*b, 4*b - 2*o - 8 + 2 = 0 for b.
2
Solve 12*n - 8*n = -4, -3*u = 5*n + 5 for u.
0
Solve 0 = -3*u - 6*d - 3, 0 = 3*u - 297*d + 302*d + 2 for u.
1
Solve -125*r + 123*r + 4*b = 32, 3*r = 2*b - 20 for r.
-2
Solve 9*w + 601 - 297 = -3*q + 271, -6 = 6*q + 3*w for q.
1
Solve v - j - 8 = 0, -466*v + 471*v - 4*j = 29 for v.
-3
Solve b - 4 = -5*w, -21 = -2*w + 21*b - 17*b - 15 for w.
1
Solve -2*w - 26830*p - 7 = -26829*p, -4 = -4*p for w.
-4
Solve -2*h + 5 = 3*j, 3234*j = 3233*j + 2*h + 7 for j.
3
Solve 4*t + 8 + 8 = 0, -16 = -4*u - 2*t for u.
6
Solve 6 = 3*h + 4*k, 284*k + 7 = h + 287*k for h.
-2
Solve 4*h + 2*x - 14 = 0, -76*h - 7 = -80*h - x for h.
0
Solve 45*o + 5*b = 195, o + 2*b + 5 = 5*b for o.
4
Solve 4 = 4*v - 2*p, -5*v - 5 = p + 11 for v.
-2
Solve 833 = -5*s + 5*t + 808, 3*s + 3 = -3*t for s.
-3
Solve 4*i - k + 1000 - 993 = 0, -k = 3*i + 21 for i.
-4
Solve 3*a - 16*r - 173 = 0, 2*r = -4039*a + 4040*a - 21 for a.
-1
Solve 3 = -2*u + 3*n, 3*u - 9*n = -7*n - 7 for u.
-3
Solve -22 + 23 = -g - 3*o, -5*g + 2*o - 39 = 0 for g.
-7
Solve 8 = -j, 59*j = -3*q + 57*j - 4 for q.
4
Solve 5*n = -4*m - 41, -1653*n = -5*m - 1657*n - 40 for m.
-4
Solve 0 = 64*k - 72*k + 3*j + 34, 4*j = -5*k - 14 for k.
2
Solve -19*c + 13 = g - 20*c, 0 = 5*g + 3*c - 25 for g.
8
Solve 0 = -22*t - h - 261 + 370, 5*h = -2*t + 5 for t.
5
Solve 10 = -2*o, 7786*o + 12 = 8*p + 7790*o for p.
4
Solve -y + n = 8 + 9, 3*n = -4*y - 89 for y.
-20
Solve -5*x - 20 = -5*q, -19*q + 31 = 5*x + 12 + 15 for x.
-3
Solve 0 = -3*z + 171*y - 172*y - 27, 3*z - 2*y + 27 = 0 for z.
-9
Solve -4*p + v = -8022 + 8023, 5*v - 5 = -p for p.
0
Solve -19 = -23*i + 20*i - n, -5*n = -2*i - 10 for i.
5
Solve 0 = 5*c + 37*o - 32*o - 5, 4*o = -3*c - 26 + 31 for c.
-1
Solve 13*d - 6*d + 3*p + 16 = 0, -3*d - 9 = 2*p for d.
-1
Solve 2*r - i + 9 = 0, -5*r + 757*i = 758*i + 5 for r.
-2
Solve 0 = i + 5, 1573*w + 5*i = 1578*w + 5 for w.
-6
Solve 4*m = u + 32, 5*u + m = 667 - 638 for u.
4
Solve -2*n + m + 3 = 0
|
{
"pile_set_name": "DM Mathematics"
}
|
6*g - 871. Is q a composite number?
True
Let c(o) = -o**2 - 9*o. Let r be c(-9). Let f be (r/(-6))/(1*2). Suppose 3*m + 0*m = 5*l + 653, f = -5*m - l + 1051. Is m composite?
False
Let i(j) = 4*j**3 + 2*j**2 - 1. Let q be i(1). Suppose -3*k = 2*f + f - 474, 158 = f + q*k. Is f a composite number?
True
Suppose -145 = t - 2*t. Is t prime?
False
Let m(n) = 24*n - 7. Is m(5) a prime number?
True
Let o(g) = 3*g - 1. Let t(q) = 5*q - 2. Let u(n) = 7*o(n) - 4*t(n). Let f be u(1). Suppose 3*z - c = 108, -4*z + 0*c + 146 = -f*c. Is z composite?
True
Let g(s) be the third derivative of s**7/420 - s**5/120 + s**4/12 + s**3/3 - s**2. Let u(t) be the first derivative of g(t). Is u(3) prime?
True
Suppose 3 = -a - x, 3*a - x = x + 6. Suppose a*d + 3*d - 15 = 0. Suppose -2*m - 78 = -d*m. Is m a prime number?
False
Suppose 4*d - 13 - 3 = 0. Let p be (d/(-5))/(2/(-10)). Suppose 0 = 5*a + t - 111, -3 = p*t + 13. Is a prime?
True
Suppose -3*l + 182 = 5*m, 4*m - 5*l - 79 = 2*m. Is m prime?
True
Let x(p) = p**3 + 6*p**2 + 2*p + 2. Let d(b) = b - 3. Let q be d(0). Is x(q) composite?
False
Let y be (-4)/(-4)*(-2 - -2). Suppose -4*f = k - 7, -f + 10 = -y*k + k. Is k composite?
False
Let i = 6 - 1. Suppose i*t = t + 260. Is t prime?
False
Let t(v) be the first derivative of 1 + 1/3*v**3 - 4*v - 1/4*v**4 - 5/2*v**2. Is t(-3) a prime number?
True
Let q(u) = u**3 + 3*u**2 - 2*u - 4. Let a be q(-3). Let d be 2 - (-216 - -2) - a. Let v = d + -135. Is v a prime number?
True
Let n(u) = -107*u**3 + u**2 + 2*u + 1. Let h be n(-1). Suppose 4*i - h - 89 = 0. Is i composite?
True
Let w(k) = -k + 1. Let z be w(-4). Suppose 3*c + 4*b + 0*b = 43, b + 110 = 5*c. Suppose -c - 54 = -z*o. Is o composite?
True
Let l(n) = n**2 - n + 2. Let q be l(3). Suppose d - 5*d = -q. Let s = d - -5. Is s composite?
False
Let p = 49 + -13. Suppose 3*r - 9 = p. Is r a composite number?
True
Let q(s) = -1 - 2*s + 330*s**2 + 0 + 0. Is q(-1) a prime number?
True
Let s = -647 - -1144. Is s a composite number?
True
Let p = -13 + 22. Let r = p - 5. Suppose 0 = -9*o + r*o + 65. Is o prime?
True
Let a be 4/(-6) + 132/9. Is (a/(-4))/(-7)*514 prime?
True
Suppose 2*j = -6, 2*j + 365 = 3*s + 50. Is s prime?
True
Suppose -3*z - 3*y + 3 = 0, 0 = -5*z + 2*z - 4*y. Suppose k = 4*x - 593, -z*x - k + 611 = 4*k. Is x a prime number?
True
Suppose -3*f - f - 108 = -h, 5*f + 114 = -4*h. Let i = -11 - f. Is i composite?
True
Suppose 0 = f - 4 - 1. Suppose 0 = -4*o + 5*g + 1, f*o + g = 29 - 6. Suppose -o*k = -2*k + 4, -5*n - 4*k = -167. Is n prime?
False
Let v be (-72)/45*5/(-2). Let a be v/(-20) + (-282)/(-10). Let d = 49 - a. Is d composite?
True
Let c(b) = 11*b**2 - 1. Let a be c(6). Suppose -a = 4*l - 9*l. Is l prime?
True
Suppose -2*u - u + 2958 = 0. Suppose -7*s - u = -9*s. Is s prime?
False
Suppose -u = -4*n + 15, 2*u - 21 + 3 = -4*n. Suppose 0 = -6*b + n*b + 174. Is b a prime number?
False
Let t(c) = 174*c + 35. Is t(16) a prime number?
True
Let u = 9 - 6. Suppose u*m - 118 = m. Is m a composite number?
False
Let z = -3 + 3. Suppose l - 5*c = -0*l - 74, -c = z. Let j = l + 105. Is j composite?
False
Let c(z) be the first derivative of -1/2*z**2 - 1 + 7*z. Is c(0) a prime number?
True
Let c(y) = y**2 - 8*y - 14. Let o be c(10). Suppose -z + o*z - 2645 = 0. Is z composite?
True
Let m(f) = -f**3 - 6*f**2 + 4*f + 10. Let q be ((-4)/10)/(1/45). Let y = -25 - q. Is m(y) prime?
True
Suppose 7*a = 2*a - 370. Is (a/(-8))/(2/16) prime?
False
Suppose 8*w - 590 = 3*w. Is w prime?
False
Let j be 8/5 + (-14)/(-35). Suppose j*x + x + 3 = 0. Let k(i) = 133*i**2 - i. Is k(x) prime?
False
Suppose -h = -3*g - 0 - 6, -1 = -2*h - 5*g. Suppose -44 = m + h*m. Let w = m - -33. Is w a prime number?
False
Let h(a) = -13*a + 30. Is h(-13) composite?
False
Let o be (-78)/(-14) - 33/(-77). Let p(u) be the third derivative of u**4/3 - u**3/6 - u**2. Is p(o) prime?
True
Suppose 3*d + 4*d + 357 = 0. Let o = d + 178. Is o prime?
True
Suppose -z + 10 = -0*p + 2*p, 5*p = -z + 22. Let m(n) = n**2 - 4*n + 1. Let x be m(p). Is ((-62)/(-4))/(x/2) a prime number?
True
Let h(s) = 0*s - 3*s + 0*s - 13. Let m be h(-9). Suppose -2*u + 3*u = m. Is u a composite number?
True
Let r = -155 + 233. Is r - 3/6*2 prime?
False
Let o(r) = -1518*r + 1. Is o(-2) a prime number?
True
Let q(a) = -36*a + 1. Let m be q(-2). Let i = m - 8. Is i composite?
True
Let o(z) = -7*z - 73. Suppose 0*d - 2 = -d. Let k(j) = 3*j + 37. Let l(t) = d*o(t) + 5*k(t). Is l(0) prime?
False
Suppose 0 = 2*f - 9 + 1, -5*f = 5*t + 15. Suppose -54 = -2*o - w - 4*w, 2*o - 4*w - 18 = 0. Let r = t + o. Is r prime?
False
Let s be 2728 + 0 - (0 - 2). Suppose -5*h + 177 = 5*a - 2523, 0 = -5*a + h + s. Suppose 0*c + a = 5*c. Is c composite?
False
Suppose 5*b = -y + 2091, 0*y + 1237 = 3*b + 5*y. Is b a composite number?
False
Let g(l) = -1857*l + 8. Is g(-3) a prime number?
False
Suppose 4*d = 5*d - 769. Is d a prime number?
True
Let q = 5 + -3. Let p be 8*4/2*q. Suppose -p = -m + w, -15 = 2*m + 3*w - 74. Is m a composite number?
False
Suppose -m + 5*m + 145 = 3*r, r = -2*m - 85. Let n = m - -61. Is n prime?
False
Let c(t) = 2*t**2 + t + 1687. Is c(0) composite?
True
Suppose 0 = -3*w + 2*i + 16, -3*w + 2*i = -4*w - 8. Let g be w*-1 + 4 - -51. Is g - 2/(1 + -2) composite?
True
Suppose 4*l - 54 = 6*l. Let y = 94 + l. Suppose -5*a + y = s, -a - s - 2*s + 19 = 0. Is a composite?
False
Suppose -2*k - 11*k + 1742 = 0. Is k prime?
False
Let k(c) = 10*c. Let b be k(-3). Let u = 77 + b. Is u a prime number?
True
Suppose j + 4*s - 1284 = -237, 2094 = 2*j - s. Is j composite?
True
Let h(b) = 11*b**3 - 3*b**2 - 6*b + 5. Let v be h(4). Let a = -330 + v. Is a a prime number?
True
Suppose -3*o - 3*y - 27 = 0, 0*y + 2*y + 14 = -o. Let t be 3/(-6)*o*2. Suppose b + 3*v + 0 = 7, -t*b + 28 = 4*v. Is b composite?
False
Let h = -12 - -31. Is h a prime number?
True
Let f(l) be the third derivative of 0 + 2/3*l**3 + 1/20*l**5 + 0*l - 3*l**2 + 1/6*l**4. Is f(-3) prime?
True
Let c(b) = -3*b + 4. Let x be c(3). Is 86 + x + (-5 - -3) a composite number?
False
Let n be ((-2)/4)/(2/(-8)). Let z(c) = c**2. Let x be z(n). Suppose -x*l + 21 = 9. Is l composite?
False
Let t(m) = -m**3 - 8*m**2 + 9*m + 2. Let p be t(-9). Let s = 2 + p. Is ((-75)/6)/((-2)/s) a prime number?
False
Suppose -4*f - 9 = 3. Is f + (-3)/((-6)/26) prime?
False
Let s(x) = -8*x**2 - 2*x - 2. Let n be s(3). Let d = -34 - n. Is d prime?
False
Let k = -6 - -8. Let n be ((-16)/(-6))/(k/6). Is 122/n - 2/8 composite?
True
Let f(j) = -43*j + 5. Let q be f(6). Let u = q - -1940. Suppose -5*v + u = -168. Is v composite?
True
Let k = -835 - -1194. Is k a prime number?
True
Let p = -609 - -1078. Is p a prime number?
False
Let r = 1971 + -418. Is r a prime number?
True
Suppose f + 1665 = 4*f. Let l = f + -236. Is l a prime number?
False
Let b(d) be the second derivative of d**5/10 - d**4/12 + d**3/3 - d**2/2 + d. Let n be b(1). Is (-3 + n - 0)*-13 a composite number?
False
Let c(w) = -3*w**2 - 5*w - 1. Let h be c(4). Let a = 106 + h. Is a composite?
False
Suppose -10 - 12 = -4*d - 3*x, -d + 4*x - 4 = 0. Suppose 3*b - 357 = -d*b. Is b a composite number?
True
Let z(l) = -788*l**3 - 2*l**2 + 1. Is z(-1) composite?
False
Suppose 4*r - 1307 = 337. Is r a composite number?
True
Suppose -39 = -3*b + 3*y, b = -2*y + 1 + 3. Suppose 4 = -2*q - i, -4*i + 0*i - b = 2*q. Is 2*(13/2 + q) prime?
True
Is 64*2 + (1 - 2) composite?
False
Let c = -9 + 15. Is (c/9)/((-2)/(-447)) a prime number?
True
Suppose -4*f + 917 = d, 2*d + f - 3*f - 1864 = 0. Is d composite?
False
Is 1*(-4 + 794 + -3) composite?
False
Suppose 3*r + 1379 = 8*r + 3*l, -2*l - 4 = 0. Suppose 2*w - 4*m = 118, -5*w = -7*m + 3*m - r. Is w a composite number?
False
Suppose -11*k + 1222 = -9*k. Is k composite?
True
Let z = -669 - -1962. Is z a prime number?
False
Suppose -3*o = -7*o + 256. Let r = o + -31. Is r composite?
True
Suppose 5*f - 9*r = -4*r, -3*f - 3*r = -18. Is -3 + -1 + 168 - f composite?
True
Let x be 3/(9/(-6)) - -8. Suppose x*s = s + 335. Is (-1)/((-1)/s - 0) composite?
False
Let k = 84 - -25. Suppose -2*v + 5*g + 245 = 0, v + 0*v + 2*g = k. Is v a prime number?
False
Let w(s) = s**3 - 7*s**2 - 4. Let n be w(8). Suppose 0 = 3*y - 63 - n. Suppose y = 3*i - 394. Is i a prime number?
False
Let f(d) = -d**3 - d**2 + 7*d +
|
{
"pile_set_name": "DM Mathematics"
}
|
8, -p + 5*w + 163 + 63 = 0. Let t be p/49 + (-2)/(-7). Solve -2*o - 3 - t = 0 for o.
-4
Let a = -6 + 11. Suppose 5 = 21*n - 15*n + 5. Solve -i = -n*i - a for i.
5
Let o be 3*318/117 - 4/26. Suppose 0 = o*n - 6*n - 6. Solve n*q = -q for q.
0
Let g be (-275)/15*(-24)/40. Solve g*l + 4 = 10*l for l.
-4
Suppose -14 = -6*g - 8. Let l = 5 + -3. Suppose 0 = 2*o + 6, -3*y + 15 = y - o. Solve -y = l*c + g for c.
-2
Let h(w) = 27*w**2 - 3*w - 5. Let b be h(-1). Solve -5*c = -b - 0 for c.
5
Suppose -9 = -3*y + 12. Let m be (-552)/(-21) - 2/y. Let g = m - 18. Solve k + k = -g for k.
-4
Suppose 4*x - 11 = 1. Solve -10*s + x = 3 for s.
0
Let h(y) = y**2 - y + 1. Let b be h(2). Suppose 0*z = -b*z + 3. Suppose 13*q = -3*m + 14*q + 15, q + 23 = 5*m. Solve m*k - z = 3 for k.
1
Suppose -5*y = -k + 28, 0 = -3*k - k + 5*y + 37. Suppose 16 - 10 = -2*g. Let i = -3 - g. Solve i = -z - k*z for z.
0
Let w(u) = -u + 23. Let j = -5 - -26. Let k be w(j). Solve -3*f + 4 + k = 0 for f.
2
Let n(t) = 2*t**2 - 11*t - 1. Let w be n(9). Suppose 0 = -3*r + 5*x + 50, 0 = -r - 3*r + 2*x + w. Solve -2*z - r + 23 = 0 for z.
4
Let f(r) = -10*r + 46. Let d be f(4). Solve -v = -d*v + 10 for v.
2
Suppose 17 = -3*s + 59. Let a = 9 - s. Let h be 2/a + 8/20. Solve 5 + h = -v for v.
-5
Suppose -4*h = -2*h. Suppose q + 2*q - 60 = h. Solve 0 = 4*o + o + q for o.
-4
Let g be -29*-2*2/(-4). Let w = g - -34. Solve w*h = -0*h for h.
0
Let r be -5*(-1 - (-1 - -20)). Suppose 0 = 5*g - s + 113, 2*s = -4*g - 2*s - r. Let u = g + 27. Solve 2*f + u = f for f.
-4
Let r be ((-37)/(-2) + -1)*520/650. Solve 9 = -5*j + r for j.
1
Let l be (-48)/144 - (1 - 4/3). Solve l = -3*m + 2 - 2 for m.
0
Suppose -2*z = 4*s - 2, 2*s - 1 = -z + 3*s. Suppose 5*l + b + z - 23 = 0, 2*l - 2*b - 4 = 0. Suppose 0*o - 8 = -l*o. Solve -2*v + o = -v for v.
2
Let c(l) = 2*l + 4. Let j(i) = 4*i + 9. Let d(o) = 5*c(o) - 3*j(o). Suppose -r + 5*r + 12 = 0, -k + r = 1. Let t be d(k). Solve -3*x + t = 10 for x.
-3
Suppose 564*c - 557*c = 0. Solve b + c*b + 3 = 0 for b.
-3
Let q be 88/(-16) + 3/(-6) + 8. Solve k - q = 1 for k.
3
Suppose 4*x = 2*o + 3*o - 13, 10 = -5*x. Suppose 0 = -5*v + 30. Let d = 6 - v. Solve -3*q + 4*q + o = d for q.
-1
Suppose -3*y + 11*y - 184 = 0. Suppose -3*r + y = 20. Solve -n + r - 6 = 0 for n.
-5
Let m = -16 - -43. Suppose k + 2*k = m. Let z(i) = -i**2 + 10*i + 1. Let f be z(k). Solve -4*d + 6*d + f = 0 for d.
-5
Let s = 0 - 0. Solve s = 3*d - 0*d + 12 for d.
-4
Let s(z) = -z**3 - 9*z**2 - 10*z - 12. Let v be s(-8). Solve 2*p - 4 - v = 0 for p.
4
Let k = -7 + 9. Suppose -k*g = -4*s - 1 + 17, -s + 5*g + 4 = 0. Solve 2 = -s*v + 22 for v.
5
Let i(f) = -3*f**2 + 53*f - 14. Let g be i(17). Solve 5*c - g - 5 = 0 for c.
5
Let w(y) = -61*y - 358. Let t be w(-6). Solve -z - 5 = -t for z.
3
Suppose 0 = -5*k - 4482 + 4492. Solve 8*n - 2*n - k*n = 0 for n.
0
Let o be (-32)/20*(-5 + 0). Suppose j = -4*t + 32, -2*t + 30 = 3*j + j. Suppose -o*c = -t*c. Solve a + c = 1 for a.
1
Let b(i) = 47 - 103 + 67 + 2*i. Let j be b(-3). Solve 0 = j*z - 5 for z.
1
Let o = 2 - 0. Let r be (0 - o)/((-6)/3). Solve -3*h = -4*h - r for h.
-1
Suppose 9*z - 4643 + 1079 = 0. Solve z - 406 = 2*r for r.
-5
Let y be ((-144)/30)/(6/(-15)). Let o be (24/y)/(2/2). Solve o*p - 4 = -2 for p.
1
Suppose 5*n = 10 + 10. Suppose n = f - 2*i, -2 = -5*f + i - 0. Let t = -38 - -42. Solve -t*d + 12 = -f*d for d.
3
Let g be (-8 + 6)*2/4. Let t be -3*(-6 + 7) - (g - 2). Solve t*l + 4*l - 4 = 0 for l.
1
Let c(i) = i - 5. Let f(r) = -5*r + 25. Let k(m) = -11*c(m) - 2*f(m). Let h be k(4). Solve 4 = a + h for a.
3
Let k(x) = x**2 + 3*x - 15. Let z = -35 + 28. Let f be k(z). Solve f = -4*o + 5 for o.
-2
Suppose 0 = 4*b - 4*l - 24, -3*l = -l + 2. Solve b*p + 21 = 1 for p.
-4
Let v be 6*(-2)/(6*-1). Let x be (v/3)/((-32)/(-240)). Suppose -x*q - 15 = -5*f, -3*f + 3*q = 2*f - 17. Solve 3*s = -11 - f for s.
-5
Let w(x) = -6*x + 20. Let q be w(3). Let m be (q/(-6) - (-24)/18) + 2. Solve 0 = m*l - 2*l + 3 for l.
-3
Let z be 0/(((-4)/2)/(-2)). Suppose z = 5*c - 29 - 1. Solve -6*y = -3*y - c for y.
2
Let l = 964 + -964. Suppose f - 4 = 1. Solve -j - f + 2 = l for j.
-3
Let y(c) = -c**2 + 2*c + 9. Let i = 66 + -66. Let z be y(i). Solve 0 = 2*h - 3 + z for h.
-3
Suppose -3*b - 208 = -40. Let a = -46 - b. Solve -3*s + 5*s - a = 0 for s.
5
Let w(b) = -11*b - 9. Let d(k) = 5*k + 4. Let v(s) = 7*d(s) + 3*w(s). Let u be v(2). Solve 0 = i - 0 - u for i.
5
Suppose 3*c = -c. Let o(a) = -a**3 + a + 13. Let f be o(c). Let q = 20 - f. Solve -27 = 4*i - q for i.
-5
Suppose 0 = -70*l - 243 + 873. Solve 2*b - l*b = 7 for b.
-1
Let o(u) = u - 2. Let j be o(2). Let h = 32 + -29. Suppose -h*x + j*x = -15. Solve x*q + 9 = 2*q for q.
-3
Let n(k) = -36*k - 296. Let v be n(-9). Solve 30*i = 2*i + v for i.
1
Let n = 23 - 23. Suppose 3*c + 3*u = 0, u - 9 = 4*u. Let z be 20/16 - c/12. Solve n = -h - z - 3 for h.
-4
Let a(y) = y**2 + 23*y + 28. Let b be a(-22). Solve p + b = -2*p for p.
-2
Let t(m) = -m**2 + 9*m + 106. Let d be t(-6). Solve 5*g + d = g for g.
-4
Let s(d) = -7*d - 84. Let v be s(-12). Solve v*k + 3*k = 3 for k.
1
Let q = 3 + 0. Let m be (-9 - 369/(-45))/(2/(-5)). Solve m - q = -j for j.
1
Let a be (-4)/(-8)*-6 - -13. Suppose 0 = 4*b - 2*z - 0 - a, -5*b - 2*z = -26. Suppose -2*p + 6*g + 6 = 3*g, -b = -g. Solve p = -4*h + h for h.
-3
Let x(t) = -t**3 - t**2 + 40. Let i be x(0). Let w be 32/i*10/4. Solve -w = -f + 3 for f.
5
Let h be 2/(-12) + (-23)/6. Let d = h + 4. Suppose d = -4*g - 4, -2*c + c - 4*g - 2 = 0. Solve -c*u = 2*u for u.
0
Let z = 4 + -15. Let d be 11/z - 58/(-2). Suppose -5*u + 5*f + 21 = -14, -d = -4*u - 3*f. Solve -2*i = -u*i - 10 for i.
-2
Suppose 2*j = -4*u + 14, -7*j + 2*j - 13 = -2*u. Suppose -13*i + 14*i = 12. Suppose 0 = 2*p + i - 4, 4 = 5*t + u*p. Solve t = k - 0*k for k.
4
Let h = -206 - -206. Solve -d = -h*d for d.
0
Suppose 8 = 5*u + 2*h, 1 = -2*u + u - 3*h. Solve 8*t - 30 = u*t for t.
5
Let s = 667 + -653. Solve s - 15 = -w for w.
1
Suppose 0 = -q - 4*g - 3, 0 = 4*q - 9*q - 2*g + 21. Suppose -18 = q*j + 2, -4*z = -4*j - 56. Solve c - 3*c = -z for c.
5
Suppose -2*s = -3*b - 7*s - 6, -5*b + 27 = -4*s. Suppose -5*l = -23 - 12. Suppose l*x - 10*x + 9 = 0. Solve -3 = -x*k + b for k.
2
Suppose -z + 3 = -9. Solve 3*h + 3 = -z for h.
-5
Let z = 728 + -718. Solve 0 = -7*h - z - 4 for h.
-2
Suppose 0 = 5*w - 18 + 3. Suppose -6*m + w = -5*m. Solve n + m = 2 for n.
-1
Suppose -5*t + 5*q - 23 = 37, -20 = -4*q. Let d = t - -13. Suppose 0 = 212*r + 142*r - 1416. Solve -8 = r*z - d*z for z.
4
Let z be ((-153)/(-34))/((-2)/(-12)). Solve -28*d = -z*d + 2 for d.
-2
Let p be 8/(-28) - 4/(-14). Let h = p - -2. Suppose 4*g - 6 + 2 = -4*c, 2*g = 4*c - 4. Solve g = 3*s - h*s for s.
0
Let t = 428 - 384. Solve t = -i + 45 for i.
1
Let y(b) = 4*b**2 - 57*b + 18. Let l be y(14). Solve -k = l*k + 25 for k.
-5
Let w(d) = d**3 + d**2 - d + 1. Let z be w(1). Solve -z = b - 4 for b.
2
Suppose 4 = 85*o - 83*o. Solve -o*n = -6*n + 20 for n.
5
Let n(i) = -4*i**3 + 2*i**2 + i - 3. Let u be n(2). Let b be 30/u*5/2 + 23. Solve -3*k = k - b for k.
5
Let z = 45 - 24. Suppose 5*f - z = 4. Let t = 0 + 2. Solve 0 = f*x + t - 7 for x.
1
Suppose -m + 42 = 2*z - 0*z, 0 = -z - 5*m + 30. Let f = -20 + z. Suppose -4*j + f*j = -32. Solve 0 = 4*h - 2*h - j for h.
4
Suppose -3*c - 9*p = -4*p + 75, c + 4*p = -32. Let z be (-12)/(-30)*c/(-1). Solve 12 = -5*x - z for x.
-4
Suppose -2*d + 5*w + 41 = -3*d, -2*d - 82 = 5*w. Let b = d - -56. Solve -2*m = -7*m + b for m.
3
Suppose 296 = -5*f + 91. Let a = f - -44. Solve a*n - 4 = 5 for n.
3
Suppose 0 = y - 0 - 20. Suppose -y*d = -19*d. Solve d = 3*j - 15 for j.
5
Suppose -o = 1, 3*n - 2*o - 3*o + 76 = 0. Let h be (18/n + 14/12)*0. Solve -q + h - 4 = 0 for q.
-4
Suppose 0 = l - 3*l + 4*x + 24, -2*l + 3*x = -19. Suppose 4*v - 15 = 1. Solve 3*k = l*k + v for k.
4
Suppose -s = -5*s - 32. Let x be 224/49 - s/(-14). Solve 5*y + 6 = -x for y.
-2
Let l(c) = -c**3 + 9*c**2 + 20*c - 97. Let p be l(10). Suppose -r - 4 + 2 = 0. Let y = 4 + r. Solve y*k + 5 - p = 0 for k.
-1
Suppose 67*p - 1293 - 5072 = 0. Solve 8*q + p = 71 for q.
-3
Let r(o) = o**3 + 6*o**2 + 6*o + 5. Let j be r(-5). Suppose -w - 2*x - x + 3 = j, 2*w = -x + 11. Solve -2*g - 16 + w = 0 for g.
-5
Let l(s) = s**2 + 5
|
{
"pile_set_name": "DM Mathematics"
}
|
f**3 + 0*f**3 + 4*f**3 + f**3 - 3*f**3.
-17*f**3
Expand (-3 - 5 - 3 + 3 - 1 - 4 + 2 + 1 - 1 + (4 - 3 + 1)*(-3 + 6 - 2) + 2 - 2 - 1)*(-2*o + 4*o - 3*o).
10*o
Expand (-8*j - 4*j + 9*j)*(2*j**2 - 2*j**2 - 2*j**2).
6*j**3
Expand (0*a + 2*a + 0*a)*(a + 5 - 5).
2*a**2
Expand (-1 + 0*h + 3*h - 2*h)*(-2 + 0 + 8).
6*h - 6
Expand (2*a**2 + a**2 - 2*a**2)*(3 - 3 + a) + a**3 - 3*a**2 + 3*a**2 - 8*a**3 + a**3 - 3*a**3.
-8*a**3
Expand (0 + 2*z**2 + 0 + (2*z + z - 2*z)*(-z + z + z))*(-1 - 2 + 4)*(-1 + 2 + 1).
6*z**2
Expand (-2*p + 3*p**2 + 2*p)*(2*p - 4*p + 6*p).
12*p**3
Expand -2*d**5 + d**5 + 3*d**5 - 2*d**5 + 4*d**4 - 4*d**4 - 3*d**5 - d**5 + 2*d**5 + (3 - 3 + d**2)*(-3*d**3 - d**3 + 3*d**3) + 4*d**5 - 3*d**5 - 3*d**5.
-5*d**5
Expand (-o + 3*o + o)*(2 + 1 - 6) - 2*o + 0 + 0.
-11*o
Expand ((v + 0*v + 0*v)*(3 - 4 + 0) + 4*v + 2*v + 0*v)*(-v + v + v**4).
5*v**5
Expand -2*g**3 + g**2 - g**2 + (-1 + 1 - 2*g)*(-3*g**2 + 3*g - 3*g) + 2*g**3 - 2*g**3 + 2*g**3 + (4*g - g**2 - 4*g)*(-g + 2 - 2).
7*g**3
Expand (2*v - v + v)*(-5*v + 2*v + 4*v) + (2 + 2*v - 2)*(-2*v - 5*v + v).
-10*v**2
Expand 14*o**2 + 17*o**2 + 16*o**2 - 2*o**2 + 2*o**2 + o**2 + (o + 0 + 0)*(-5*o + 3*o + 3*o).
49*o**2
Expand (-2 - 2 + 3)*(-3*t + 1 - 1)*(0*t + 2*t**2 + 0*t + (-1 - t + 1)*(t - 1 + 1)).
3*t**3
Expand -2*c**3 + 3*c**3 - 4*c**3 + (-c + 3*c + 0*c)*(-4*c**2 - c + c) + 2*c**3 - 2*c + 2*c + 4*c + c**3 - 4*c.
-8*c**3
Expand (-u**2 - 12*u + 1 + 0*u**2 + 10*u)*(0*u + 2*u - 4*u).
2*u**3 + 4*u**2 - 2*u
Expand (4 + 2*k**2 - 4)*(-2*k + 2*k - k) + (k - k + k**2)*(2*k + 0*k - k) + 14*k**2 - 10*k**2 + 21*k**3 + k**2.
20*k**3 + 5*k**2
Expand 0*k**2 - 3*k**2 + k**2 + (-2*k + 2 - 2)*(-2*k - 2*k + 7*k).
-8*k**2
Expand (-2 - 3 + 3)*(-3*s**2 + 2*s**2 + 15*s**2)*(-1 + 5 - 2).
-56*s**2
Expand (-4*v + 4*v - 2*v)*(-1 - 4 + 3) + (-3 + 3 - 1)*(0*v + 0*v + v).
3*v
Expand (p + 3 - 3)*(-5*p + 2*p + 0*p + (0 + 0 - 1)*(3*p + 0*p - 4*p)).
-2*p**2
Expand a**2 + 0*a**2 + 0*a**2 + ((-3 + 3 + 1)*(5*a - 2*a - 4*a) - 2*a + 4*a - 3*a)*(3 - 3 - a).
3*a**2
Expand (-2*o**3 + o**3 + 3*o**3)*(o**2 - 1 + 1)*(8 + 6 - 12).
4*o**5
Expand 4*s**5 - 4*s**5 - 2*s**5 + (s**5 - s**5 - s**5)*(-2 + 1 + 0) + 4*s**3 - 4*s**3 - 2*s**5 + 186*s**2 + 25*s**5 - 186*s**2.
22*s**5
Expand (2*w**2 - 1 + 1)*(w**2 - 3*w**2 + w**2) + (2*w + 0*w + w)*(-3*w**3 - 4 + 4).
-11*w**4
Expand (-4*w - 3*w + 6*w)*(2 + 0 - 1) - 3*w + w + 4*w - 32*w + 11*w - w.
-21*w
Expand 30*s**3 + 34*s**3 - 63*s**3 + (4*s - s - 5*s)*(-s**2 - s**2 + s**2) + (s + 3*s - 2*s)*(2*s**2 - 5*s**2 + s**2).
-s**3
Expand (-8*a + 8*a + 4*a**2 + (3 - 3 + a**2)*(-3 + 2 - 1))*(2*a**2 + a**2 - 2*a**2).
2*a**4
Expand (3 - 3 - a)*(5*a + 4*a**3 - 5*a) + (-8*a + 3*a - a)*(a**3 + a**3 - a**3).
-10*a**4
Expand x**5 - 7*x**5 + x**5 + (2*x**4 + 0*x**4 - 3*x**4)*(-4 + 4 + 2*x) - x**5 + 0*x**4 + 0*x**4 - 3 + 2*x**5 + 3 + 1.
-6*x**5 + 1
Expand (0 + 1 + 2)*(4*m - 2*m - 7*m)*(-6*m**3 + 2*m**3 + m**3) + m**4 - 3*m**4 + 0*m**4.
43*m**4
Expand (0*y + 2*y - y)*(-2*y**3 - 15 + 15).
-2*y**4
Expand (-2*r**4 - 1 + 0*r**4 + 2)*(11 + 27 - 9).
-58*r**4 + 29
Expand (1 - 4 + 1)*(0*q - 6*q + 4*q + 8*q**2 - 2).
-16*q**2 + 4*q + 4
Expand -h**4 - 4*h**2 + 4*h**2 + (5*h**2 - 3*h**2 + 7*h**2)*(0*h**2 + 2*h**2 + 0*h**2).
17*h**4
Expand (4 - 6 + 3)*(0*h**2 - 5*h**2 + h**2)*(-h**2 + 2*h**2 + 4*h**2).
-20*h**4
Expand (0 + 0 - 1)*(0*d**2 + 4*d**2 + 12*d**2)*(2*d + 0 + 0).
-32*d**3
Expand (f + 2 - 4*f - 6)*(2 - 1 + 0).
-3*f - 4
Expand 3 - 6 + 0 + p**5 + (p**4 + 0*p**4 + 0*p**4)*(p + 0*p - 3*p).
-p**5 - 3
Expand -5*d**2 + 5*d**2 - 2*d**5 + (2*d + d - 4*d)*(d**4 + 2*d**4 - 4*d**4) - 3*d**5 - 6*d**5 + 12*d**5.
2*d**5
Expand (17*s - 33 + 33)*(4*s - s - 2*s).
17*s**2
Expand (0*n**2 + 2*n**2 + n**2)*(-7*n + 7*n - 3*n**2).
-9*n**4
Expand (o - 2*o + 2*o)*(2 - 6 + 15)*(5*o - 3*o - 4*o)*(-3 + 1 + 4).
-44*o**2
Expand 81*t**2 - 81*t**2 + 7*t**4 + 4*t + (4 + 2 - 4)*(0*t**2 + 0*t**2 - 2*t**4) + 3*t**2 - 3*t**2 + t**4 + 0*t - 2*t**4 + 0*t.
2*t**4 + 4*t
Expand -2*h**3 + 9*h**3 + 2*h**3 + (-1 - 2*h + 1)*(-2*h + 2*h**2 + 2*h).
5*h**3
Expand (-45*i**2 + 45*i**2 + 4*i**3)*(2 - 4 + 1).
-4*i**3
Expand (-2*l**3 + 3*l**3 + l**3 + (2*l**2 + 0*l**2 - 3*l**2)*(-3*l + l + l) + 3*l**3 - 4*l**3 + 0*l**3)*(-31 + 31 - 9*l).
-18*l**4
Expand -4*q**5 - 2*q**5 + 3*q**5 + (0 + 0 - 2*q)*(6*q**4 - 2*q**4 - 2*q**4).
-7*q**5
Expand (-3 - 1 + 3)*(4 - 4 - c) + (3 + 1 - 3)*(-6*c + 3*c + 4*c) - 3*c + 5*c + 0*c.
4*c
Expand 2*l**5 + 2*l**4 - 2*l**4 + (0*l**4 - 2*l**4 - l**4)*(5*l + 2*l - 4*l).
-7*l**5
Expand (-3 + 7 - 1)*(3*c**3 - 3*c**3 - 2*c**3)*(c**2 + c**2 - 8*c**2).
36*c**5
Expand (-2 - 3 + 4)*(0 + 0 + 2*u)*((-1 + 7 - 1)*(3 + u - 3) + 2 - 2 - u - 2*u + u - u).
-4*u**2
Expand (-2*t**3 - t**3 + 4*t**3)*(-3 + 6 - 1)*(-t + 2*t + t).
4*t**4
Expand (-9*y + 5*y - y)*(4*y**2 + y**2 - 3*y**2) + 0*y**2 + 0*y**2 + 2*y**3.
-8*y**3
Expand (7*p**3 - p**3 - 3*p**3)*(p + 3*p + 2*p**2 - 4 - 3*p).
6*p**5 + 3*p**4 - 12*p**3
Expand (3*d - 4*d + 2*d)*(4*d**2 + 9*d**2 + d - 10*d**2).
3*d**3 + d**2
Expand (-1 - 3 + 2)*(-1 - 40 + 17 + x).
-2*x + 48
Expand (122*t - 122*t - 32*t**2 + t**2 - t**2 - t**2 + (0*t + t - 2*t)*(0 + 2*t + 0) + 5*t**2 - 2*t**2 - t**2)*(3*t**3 - 6*t**3 + t**3).
66*t**5
Expand (2*q + 0*q - q)*(-11*q - 3*q - 17*q)*(-1 - 2 + 2).
31*q**2
Expand (l**4 + l**4 - 3*l**4)*(-1 + 1 - 2)*(-2 + 3 - 4).
-6*l**4
Expand (-2 + 3*n**3 + 2)*(-3 - 3*n + 3) + (5*n**3 - 4*n**3 - 2*n**3)*(3*n - 4*n + 4*n).
-12*n**4
Expand (2*r**3 + r**3 - r**3)*(-3 - 3*r**2 + 2*r**2 - 1).
-2*r**5 - 8*r**3
Expand (2*m - 2*m + m)*(m**3 + 0*m**3 - 2*m**3) - 3*m**4 + 3*m**4 - 2*m**4 + (2*m**3 + 16*m**3 + 0*m**3)*(-2 - 2*m + 2) + 3*m**2 - 2*m**4 - 3*m**2.
-41*m**4
Expand (-3 - 10 - 115*c**2 + 118*c**2)*(2 - 2 - c).
-3*c**3 + 13*c
Expand (-f**2 - 40*f**3 + 3*f**2 + 25*f**3)*(-2*f + f + 3*f).
-30*f**4 + 4*f**3
Expand (-2*j - 2*j - 2*j)*(-4 + 0 + 2).
12*j
Expand (0*u - 3*u + 4*u)*(-3*u + 3*u**2 + 3*u) + 5*u**3 + 4*u**3 - 3*u**3.
9*u**3
Expand ((1 + 3 - 1)*(-1 + m + 1) - 4 + 4 + 2*m)*(m**3 + m**3 + 4*m**3) + (-m**2 + 1 - 1)*(m**2 - 2 + 2).
29*m**4
Expand (0*w + 5*w - 4*w)*(4*w**2 + w**2 - 7*w**2) + (-w + 3*w**2 + w)*(w + w - w).
w**3
Expand (0 + 0 - u + (5 - 2*u - 5)*(-5 + 6 + 1) + (3 - 3 + 1)*(-3*u - 2*u + 3*u) - 2*u - 2*u + 2*u - 3*u + 2*u - 5*u)*(u + 0 + 0).
-15*u**2
Expand -3 + 3*a + 3 + (-3*a + 5*a - 3*a)*(-3 + 0 + 1) + a - 4*a + 2*a + (3 - 1 + 0)*(-12*a + 28 - 28).
-20*a
Expand 2*u**5 - 5*u**5 + 4*u**5 + (-u**4 - u**4 + 4*u**4)*(-2*u + 0 + 0) + 3*u**5 + 0*u**5 - 5*u**5 + (0*u - 5*u + 3*u)*(-3*u**4 - 4*u**2 + 4*u**2).
u**5
Expand (3*i**2 + 2*i**2 - 3*i**2)*((-2*i + 0 + 0)*(1 - 1 + 2) + (-4*i + 4*i - i)*(-3 + 2 - 1) + 0*i + i + 0*i).
-2*i**3
Expand (-4 + 2 + 3)*(0*a + 3*a - 2*a) + 2*a + 2 - 2 - 6*a + 7*a + 12*a.
16*a
Expand (2 - 2 + k**2 + k)*(-5*k + k + 6*k).
2*k**3 + 2*k**2
Expand -y**5 - 3*y**2 + 3*y**2 + (-4 + 4 + 2*y**5)*(4 - 3 + 0) + 7*y**5 + y**5 - 3*y**5 + 2*y**5 - 3*y**5 + 2*y**5.
7*y**5
Expand (-1 - 2 + 2)*(-2*c + c - c) + 0 - 2 - 2 + 2*c + 11*c + 4*c + 0*c + (c - 3*c + c)*(0 - 3 + 1).
21*c - 4
Expand -y**4 + 3*y**5 - 7*y**5 + 5*y**2 + 3*y**5 + (-5*y**3 + 4*y**3 + 2*y**3)*(-2*y**2 - 4*y**2 + 5*y**2) - y**5 + y**5 - 2*y**5.
-4*y**5 - y**4 + 5*y**2
Expand ((-3*z + 2*z - z)*(-1 + 1 + z**2) - 2*z - 2*z**3 + 2*z - 16*z**3 - 14*z**3 + 44*z**3 - 5*z**3 + 0*z**3 + 2*z**3)*(2*z**2 - 5*z**2 + z**2).
-14*z**5
Expand -2*m**2 + 0*m**2 + m**2 + 0*m + m**2 + 0*m + (-3*m - 3*m + 4*m)*(3*m + m - 3*m) + m**2 + 0*m**2 + 5*m**2.
4*m**2
Expand (2 + 0 + 8)*(-5*p + 4*p + 2 + 0*p)*(-1 + 2 + 4).
-50*p + 100
Expand -z + 3*z - 5*z + (1 + 3 - 5)*(1 - 2*z - 1) + 3*z + 2*z - 3*z.
z
Expand ((2 - 3 + 0)*(-1 + 4 - 1) - 2 + 3 - 3)*(-2*a**3 + 3*a**3 + 2*a**3).
-12*a**3
Expand -2*v - 2*v + 3*v - 5*v + 2*v + v + (-4*v + 0*v + 2*v)*(0 - 2 + 1) + v - v - v + (0*v - v + 2*v)*(-4 - 1 + 1).
-6*v
Expand k**3 - k**3 - k**3 + (-20*k + 4*k**2 + 20*k)*(-2*k + 0 + 0).
-9*k**3
Expand (254 + 26*h - 254)*(2*h**2 - 2*h**2 - h**3).
-26*h**4
Expand (-6*o**2 + 3*o**2 + 2*o**2 + (o + 2*o - 4*o)*(0*o + 0*o + 2*o))*(2*o**3 + 5*o**3 + o**3).
-24*o**5
Expand 8*j**5 + 3*j - 3*j + (6*j**3 - 4*j**3 + 0*j**3)*(j**2 + 0*j**2 + j**2) - 2*j**5 - j**5 + j**5 + 0*j**5 + 0*j**5 - 3*j**5.
7*j**5
Expand (c**2 + 3*c**2 - 5*c**2)*((c - 3*c**2 - c)*(-2*c - c + 4*c) + c - c - 2*c**3
|
{
"pile_set_name": "DM Mathematics"
}
|
2
How many minutes are there between 2:51 PM and 3:32 PM?
41
How many minutes are there between 6:48 AM and 9:27 AM?
159
What is 631 minutes before 7:22 PM?
8:51 AM
What is 103 minutes before 11:07 PM?
9:24 PM
What is 556 minutes before 2:33 AM?
5:17 PM
What is 251 minutes before 6:29 AM?
2:18 AM
How many minutes are there between 4:40 PM and 11:07 PM?
387
What is 682 minutes before 12:22 PM?
1:00 AM
What is 11 minutes after 11:19 PM?
11:30 PM
What is 585 minutes after 8:10 PM?
5:55 AM
How many minutes are there between 3:13 AM and 3:52 AM?
39
What is 394 minutes after 3:15 PM?
9:49 PM
What is 185 minutes after 12:29 AM?
3:34 AM
What is 391 minutes after 3:24 AM?
9:55 AM
How many minutes are there between 3:47 AM and 3:56 AM?
9
What is 155 minutes before 1:47 PM?
11:12 AM
What is 386 minutes after 4:00 PM?
10:26 PM
What is 184 minutes before 6:36 PM?
3:32 PM
What is 421 minutes before 7:57 PM?
12:56 PM
What is 715 minutes after 3:20 AM?
3:15 PM
What is 385 minutes before 4:14 PM?
9:49 AM
How many minutes are there between 9:40 AM and 3:21 PM?
341
What is 303 minutes after 2:14 PM?
7:17 PM
How many minutes are there between 2:29 PM and 8:35 PM?
366
What is 274 minutes after 7:38 AM?
12:12 PM
How many minutes are there between 1:00 PM and 12:29 AM?
689
What is 374 minutes before 7:26 PM?
1:12 PM
What is 547 minutes after 7:41 AM?
4:48 PM
What is 429 minutes after 1:03 AM?
8:12 AM
What is 647 minutes before 2:16 PM?
3:29 AM
What is 137 minutes after 7:26 PM?
9:43 PM
What is 166 minutes after 9:31 AM?
12:17 PM
How many minutes are there between 11:15 PM and 5:56 AM?
401
How many minutes are there between 3:12 PM and 12:10 AM?
538
How many minutes are there between 9:05 AM and 8:38 PM?
693
What is 202 minutes after 7:16 AM?
10:38 AM
How many minutes are there between 12:18 AM and 1:54 AM?
96
What is 692 minutes after 8:18 AM?
7:50 PM
How many minutes are there between 3:32 PM and 7:45 PM?
253
How many minutes are there between 11:38 PM and 9:24 AM?
586
What is 631 minutes after 10:30 AM?
9:01 PM
What is 11 minutes before 7:25 PM?
7:14 PM
How many minutes are there between 11:03 PM and 9:30 AM?
627
What is 414 minutes before 11:12 PM?
4:18 PM
What is 274 minutes before 1:36 AM?
9:02 PM
What is 543 minutes after 1:52 PM?
10:55 PM
What is 38 minutes before 7:42 PM?
7:04 PM
How many minutes are there between 3:15 AM and 6:32 AM?
197
How many minutes are there between 1:11 PM and 4:12 PM?
181
What is 473 minutes after 10:38 AM?
6:31 PM
What is 50 minutes before 5:36 AM?
4:46 AM
What is 374 minutes after 12:11 AM?
6:25 AM
What is 48 minutes after 7:16 PM?
8:04 PM
How many minutes are there between 4:08 AM and 7:00 AM?
172
How many minutes are there between 8:38 PM and 12:58 AM?
260
What is 344 minutes before 12:19 AM?
6:35 PM
What is 372 minutes after 7:21 PM?
1:33 AM
How many minutes are there between 10:39 AM and 9:56 PM?
677
How many minutes are there between 6:24 AM and 1:43 PM?
439
How many minutes are there between 4:44 PM and 8:15 PM?
211
What is 44 minutes after 3:46 AM?
4:30 AM
What is 209 minutes after 11:53 AM?
3:22 PM
How many minutes are there between 1:38 AM and 1:25 PM?
707
How many minutes are there between 10:08 PM and 8:00 AM?
592
What is 707 minutes after 7:11 PM?
6:58 AM
How many minutes are there between 8:46 AM and 10:56 AM?
130
How many minutes are there between 3:11 PM and 12:30 AM?
559
What is 53 minutes before 12:31 AM?
11:38 PM
How many minutes are there between 8:56 PM and 1:22 AM?
266
How many minutes are there between 7:40 AM and 10:18 AM?
158
How many minutes are there between 9:19 AM and 9:23 AM?
4
How many minutes are there between 1:42 PM and 8:20 PM?
398
How many minutes are there between 10:05 PM and 10:00 AM?
715
How many minutes are there between 6:18 AM and 11:23 AM?
305
How many minutes are there between 5:22 AM and 9:32 AM?
250
How many minutes are there between 4:29 PM and 10:23 PM?
354
How many minutes are there between 9:51 PM and 4:18 AM?
387
What is 693 minutes before 12:41 AM?
1:08 PM
What is 238 minutes before 5:42 PM?
1:44 PM
How many minutes are there between 7:48 PM and 6:32 AM?
644
What is 517 minutes before 11:04 AM?
2:27 AM
What is 400 minutes before 9:57 AM?
3:17 AM
How many minutes are there between 10:16 AM and 4:23 PM?
367
How many minutes are there between 8:07 AM and 3:57 PM?
470
What is 137 minutes after 11:57 AM?
2:14 PM
How many minutes are there between 6:54 AM and 5:12 PM?
618
What is 474 minutes after 9:42 PM?
5:36 AM
How many minutes are there between 10:07 AM and 1:22 PM?
195
How many minutes are there between 10:41 AM and 3:58 PM?
317
How many minutes are there between 11:44 PM and 11:34 AM?
710
What is 35 minutes before 3:32 PM?
2:57 PM
How many minutes are there between 3:08 AM and 9:33 AM?
385
What is 266 minutes after 2:56 AM?
7:22 AM
How many minutes are there between 6:40 PM and 6:30 AM?
710
How many minutes are there between 12:24 AM and 2:15 AM?
111
How many minutes are there between 3:07 AM and 11:23 AM?
496
What is 236 minutes before 3:30 AM?
11:34 PM
What is 318 minutes after 7:53 AM?
1:11 PM
What is 90 minutes before 9:10 PM?
7:40 PM
What is 371 minutes after 12:34 PM?
6:45 PM
How many minutes are there between 8:36 AM and 11:23 AM?
167
How many minutes are there between 9:34 PM and 12:06 AM?
152
How many minutes are there between 5:13 PM and 7:35 PM?
142
What is 467 minutes after 7:24 PM?
3:11 AM
How many minutes are there between 5:49 AM and 12:49 PM?
420
How many minutes are there between 5:39 PM and 2:59 AM?
560
What is 463 minutes before 6:16 PM?
10:33 AM
What is 243 minutes before 4:30 PM?
12:27 PM
What is 643 minutes before 9:26 PM?
10:43 AM
What is 366 minutes after 3:51 PM?
9:57 PM
What is 408 minutes before 4:06 AM?
9:18 PM
What is 707 minutes before 8:44 PM?
8:57 AM
How many minutes are there between 1:11 PM and 8:39 PM?
448
What is 539 minutes before 1:57 PM?
4:58 AM
How many minutes are there between 5:55 AM and 8:29 AM?
154
What is 101 minutes before 11:30 AM?
9:49 AM
What is 667 minutes before 8:01 PM?
8:54 AM
How many minutes are there between 10:05 AM and 10:32 AM?
27
How many minutes are there between 3:33 AM and 11:12 AM?
459
What is 217 minutes after 11:08 AM?
2:45 PM
What is 470 minutes before 12:45 PM?
4:55 AM
What is 628 minutes after 9:25 PM?
7:53 AM
How many minutes are there between 10:55 AM and 2:01 PM?
186
How many minutes are there between 3:17 PM and 10:50 PM?
453
How many minutes are there between 2:06 PM and 6:06 PM?
240
How many minutes are there between 8:42 PM and 4:58 AM?
496
What is 62 minutes before 4:17 AM?
3:15 AM
How many minutes are there between 12:49 AM and 1:39 AM?
50
How many minutes are there between 11:52 PM and 1:52 AM?
120
What is 203 minutes after 4:16 PM?
7:39 PM
What is 6 minutes before 4:49 AM?
4:43 AM
What is 49 minutes after 7:38 PM?
8:27 PM
What is 682 minutes after 5:48 AM?
5:10 PM
What is 680 minutes before 6:14 AM?
6:54 PM
What is 77 minutes before 6:40 AM?
5:23 AM
How many minutes are there between 9:24 AM and 4:25 PM?
421
What is 679 minutes after 4:51 AM?
4:10 PM
How many minutes are there between 8:07 AM and 2:45 PM?
398
How many minutes are there between 5:30 AM and 7:31 AM?
121
What is 9 minutes before 10:06 AM?
9:57 AM
How many minutes are there between 12:01 PM and 10:24 PM?
623
How many minutes are there between 5:38 PM and 7:10 PM?
92
What is 60 minutes before 10:41 PM?
9:41 PM
What is 557 minutes after 2:48 PM?
12:05 AM
What is 660 minutes before 8:35 PM?
9:35 AM
What is 692 minutes after 3:59 PM?
3:31 AM
How many minutes are there between 2:08 AM and 7:52 AM?
344
How many minutes are there between 5:43 PM and 6:08 PM?
25
How many minutes are there between 4:48 AM and 1:13 PM?
505
What is 139 minutes before 6:37 AM?
4:18 AM
What is 60 minutes after 7:20 AM?
8:20 AM
What is 254 minutes before 5:05 AM?
12:51 AM
What is 254 minutes before 2:37 AM?
10:23 PM
What is 320 minutes before 9:38 AM?
4:18 AM
What is 135 minutes before 6:21 PM?
4:06 PM
What is 689 minutes after 2:20 PM?
1:49 AM
How many minutes are there between 11:11 PM and 9:47 AM?
636
How many minutes are there between 10:51 AM and 9:46 PM?
655
How many minutes are there between 5:43 PM and 2:38 AM?
535
How many minutes are there between 2:26
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the sixth smallest value in 8.4, 0.5, -44, -0.1, -8, -4, 14/9?
14/9
What is the fifth smallest value in 0, -2, -3/4, 1/4, 0.009, -133?
0.009
Which is the third smallest value? (a) 46136309 (b) -4 (c) 0.3
a
What is the smallest value in -1/103, -26, 3?
-26
Which is the third smallest value? (a) 1/38 (b) -1 (c) 2/9 (d) 13 (e) -108
a
Which is the fifth biggest value? (a) 3 (b) -7 (c) -0.4 (d) -18551 (e) 7 (f) -1
b
Which is the sixth biggest value? (a) -2/15 (b) -1 (c) 14 (d) 59 (e) 1/2 (f) 275.5
b
What is the biggest value in 0.64, 1/7, -0.4, -5, 3/6859, -5/3?
0.64
What is the second biggest value in 20, -1685, 127?
20
Which is the third smallest value? (a) -950783 (b) -4/7 (c) 1/4 (d) -65
b
Which is the fourth biggest value? (a) -5 (b) 51 (c) 194289 (d) -0.4
a
What is the fifth smallest value in -0.15, -0.27, -2, -0.2, -6, -2/3?
-0.2
What is the second smallest value in -343139, -1, 0.01?
-1
Which is the sixth biggest value? (a) -129 (b) -12 (c) 1/2 (d) 6 (e) 5 (f) -142 (g) -0.3
a
Which is the third biggest value? (a) -3/2 (b) 6 (c) -0.5 (d) -2 (e) 10782
c
Which is the second biggest value? (a) 5/3 (b) 1 (c) -94 (d) 1/242 (e) 3/4 (f) 4
a
What is the sixth smallest value in -43, -1, 0.5, 5/2, 1/5, -1348, -0.07?
0.5
What is the second smallest value in -3, 69.6, -68, -4, -2, 2/9?
-4
What is the fourth smallest value in -1733, -0.05296, -3, -0.3?
-0.05296
What is the second biggest value in 0.09, -1, -13791, 4, 0.03, -3/2?
0.09
Which is the fourth smallest value? (a) 0.05 (b) -0.6 (c) -4554 (d) -0.1 (e) 3 (f) 0.06
a
Which is the third smallest value? (a) -1 (b) -2 (c) 5/3 (d) 247 (e) 5/2 (f) -136/5 (g) 2/11
a
Which is the second smallest value? (a) 8 (b) 1 (c) -2.597274
b
What is the biggest value in 2/11, 1/4, 4/5, 12/37903, 5, -0.5?
5
What is the sixth biggest value in 6, 2/3, -2.5, -3, -0.13, 7/4, -1?
-2.5
What is the third smallest value in -5, 6, -0.13, 0.3, 807?
0.3
Which is the fifth biggest value? (a) -4 (b) 4 (c) 29 (d) 1 (e) -9/7 (f) 3/272
e
What is the fifth biggest value in 0.1, -3, -0.3, -0.03695, 4/83, 1?
-0.3
Which is the second biggest value? (a) -36/73 (b) -2/5 (c) -525 (d) 1/4
b
What is the biggest value in -1, -20, 4485, -241?
4485
Which is the biggest value? (a) 45/28 (b) 7 (c) 4.7 (d) -4/9 (e) 11
e
Which is the seventh smallest value? (a) 2/15 (b) -0.3 (c) 4.74 (d) -24.3 (e) -3 (f) 0.06 (g) -0.5
c
What is the fourth biggest value in 6, 2488, -8, 28?
-8
What is the fourth biggest value in -2, 0, -4761, 7/4, -9?
-9
Which is the third smallest value? (a) 23 (b) 0.3 (c) -64/122345
a
What is the biggest value in -3, 0.5, 2/17, 7429?
7429
What is the second smallest value in 0, -2/13, 0.16, -107.75?
-2/13
What is the biggest value in 2.7, 0.5, -1/3744, -2/5, 7.8?
7.8
What is the fifth biggest value in -4, -24, -696, 1/10, 2/9?
-696
What is the fifth smallest value in 5, -4, 77, 3, 2, -2/67?
5
Which is the second smallest value? (a) 19 (b) -2 (c) -19 (d) -3/7 (e) -0.1 (f) 4/9 (g) -1/2
b
What is the smallest value in 87, -0.1, -20, 1292?
-20
Which is the seventh smallest value? (a) -39 (b) 0.2 (c) 0.14 (d) 0.04 (e) 35 (f) -1 (g) 3/5
e
What is the sixth biggest value in 0, 87, 2, -26/11, -3/5, -1/9?
-26/11
What is the seventh smallest value in 3, -0.08, 339, -0.032, -0.3, 2/9, 5?
339
What is the fifth biggest value in -1/3, 2/15, -5, 7.36, -1?
-5
What is the third biggest value in -0.1, 1/4, -17169/5, 2?
-0.1
What is the smallest value in -1462, 5, 2, -1, 4, -5?
-1462
What is the fourth biggest value in -5, 0.2, 0, 1.86, 0.091, 32?
0.091
What is the second biggest value in -0.03383, 1/3, 0, -2, 2/5?
1/3
What is the second smallest value in -6.354, -5, 2688?
-5
Which is the third smallest value? (a) -5 (b) -2 (c) 0 (d) 288 (e) 1 (f) 17
c
What is the smallest value in -3, 2, 0.4, -2/7, 0.571, -1/2, -12/73?
-3
What is the third biggest value in 30273, -0.8, 1?
-0.8
Which is the third smallest value? (a) -16 (b) -3 (c) -2.5 (d) 0.3 (e) -465.52
b
Which is the fifth biggest value? (a) 2/11 (b) -3317 (c) -2/3 (d) -2 (e) -2/5 (f) -16 (g) 0
d
What is the third biggest value in 32, 0.1, -1072800?
-1072800
Which is the smallest value? (a) 1.79 (b) 3/4 (c) 2/15 (d) 766 (e) -1/2
e
What is the smallest value in -2, 9.5, 4, -9197?
-9197
Which is the second biggest value? (a) -2 (b) 5 (c) -0.112 (d) -163 (e) -0.2306
c
What is the fifth biggest value in -26, -2, -5/3, 1/3, -29, -1/4, -5?
-5
Which is the fourth smallest value? (a) 4.66 (b) -0.2 (c) -2 (d) 2 (e) -10966
d
What is the fifth biggest value in 9, 0.16, 2550, 2/19, 8?
2/19
Which is the biggest value? (a) -24 (b) -3/5 (c) 11/16158
c
Which is the third smallest value? (a) 52/5 (b) -0.01824 (c) 2/53
a
Which is the second biggest value? (a) -0.9915703 (b) 10 (c) -3
a
Which is the second smallest value? (a) -3 (b) -1 (c) -2.7 (d) -7 (e) 0.135 (f) 2/7
a
Which is the fifth smallest value? (a) -2 (b) -3/2 (c) 2/13 (d) 6058 (e) 7
d
What is the smallest value in -1/9, -0.2, -1706652?
-1706652
Which is the second biggest value? (a) -17.9 (b) -4 (c) 0.4 (d) -21.88
b
Which is the fifth biggest value? (a) -8 (b) -79/5 (c) -7982 (d) 0.1 (e) -4
c
What is the smallest value in -0.8, 6361, -4.94?
-4.94
Which is the third smallest value? (a) 2/13 (b) 2 (c) -6 (d) 0.04704 (e) -2
d
What is the third biggest value in -77246645, -0.1, 1, 5?
-0.1
Which is the fourth biggest value? (a) -528 (b) 40/3 (c) -25/4 (d) -2 (e) 0.2
c
What is the third biggest value in 13599, 17, -12, 0.4?
0.4
What is the third smallest value in -1632, -123, -0.4, -0.119?
-0.4
What is the second biggest value in 1120/3, -5, -0.5, -318?
-0.5
What is the fifth biggest value in -15, 0, 1, 166, 4, 13, 0.5?
0.5
What is the second smallest value in 0.3, 143546, 16/11?
16/11
What is the fourth smallest value in 193, 5, -9, -5/977?
193
What is the second biggest value in -4/200283, 1077, 0.5?
0.5
What is the third smallest value in 2837, 0.1141, -2.4?
2837
What is the fourth biggest value in -224, 12/7, 2/11, -7/2?
-224
Which is the third biggest value? (a) -535 (b) 0.5 (c) -108.8
a
Which is the biggest value? (a) -4 (b) 1368 (c) 2134 (d) 1/3 (e) 4
c
What is the second biggest value in 4/3, 1/10, -50, 53, 2, -2?
2
Which is the fifth biggest value? (a) -0.4 (b) 4 (c) 50/9 (d) 0.5 (e) 6/82627
a
Which is the smallest value? (a) -0.09 (b) 1109433 (c) -2
c
What is the biggest value in 260903, -1/4, 17?
260903
Which is the third biggest value? (a) -3.26 (b) -2/11 (c) -11 (d) -0.1 (e) 38 (f) 1
d
Which is the third smallest value? (a) 5.1 (b) -14/9 (c) -7 (d) -65
b
Which is the second smallest value? (a) 63 (b) 0 (c) -0.79 (d) -1 (e) 5 (f) 0.5
c
What is the seventh smallest value in -1/6, -1/2, 4, 3, 146/267, 0.3, 0?
4
What is the smallest value in 49, 13, -2/11, 0, -11?
-11
What is the third biggest value in -1/3, 3, 7, -27, 163?
3
What is the biggest value in -1.26, -1, -20319, 1, 0.1, 1/4?
1
Which is the biggest value? (a) 4 (b) -41/5 (c) 4.4 (d) -4 (e) -0.03
c
Which is the second biggest value? (a) 0.4 (b) 0 (c) 31/2 (d) 3/7 (e) 597 (f) -0.054 (g) -1
c
Which is the third smallest value? (a) -1/5 (b) -2 (c) -1 (d) -2/11 (e) 15.2665 (f) 40 (g) -15
c
Which is the fourth smallest value? (a) 0.13 (b) -16 (c) 0.4 (d) 1/3 (e) 26 (f) -0.37 (g) 3/5
d
What is the smallest value in -4, 0.2, -2/9, 646, -0.5, -68.7?
-68.7
Which is the second smallest value? (a) 3/2 (b) -393 (c) 4/5 (d) 4
c
Which is the sixth biggest value? (a) 1 (b) 6 (c) -86 (d) -5 (e) -4 (f) 21
c
What is the smallest value in -0.2, -123, 2/17, -1/44, 0.1?
-123
Which is the smallest value? (a) 2 (b) -3 (c) -2/43 (d) -784 (e) 0
d
Which is the smallest value? (a) -43/13 (b) 5 (c) 83833
a
What is the third biggest value in -0.4, 24615, -4/5, 0.3, -743, 1/4?
1/4
What is the biggest value in 291, 28, -2, -1/3, -1/40?
291
Which is the fourth smallest value? (a) -1 (b) 1/3 (c) -0.3 (d) -26 (e) -5/7 (f) 11
c
What is the fourth biggest value in 7472, -77, 0.5, 5/2, -2?
-2
Which is the biggest value? (a) 7775 (b) -1/4 (c) -3794
a
Which is the fif
|
{
"pile_set_name": "DM Mathematics"
}
|
is the value of (-120)/2520 - (-10)/7665*47?
1/73
Calculate (-486)/45 + (-138)/115 - (-3 + -17).
8
Calculate (8892/(-260) + 27)*(-30)/9.
24
Calculate ((-812)/54)/(94143/(-121041)).
58/3
What is the value of -27 + (-17 - (-3 - 32) - (17 - 8))?
-18
-3*212/(-530)*(-110)/(-12) - -7
18
What is the value of 220/90 - 4845/513?
-7
What is the value of 33 + (-143910)/3990 - (-28)/133?
-20/7
-58 + 33 + 83 + -7
51
What is (2125/10)/(6725/1614)?
51
Calculate 32/20*134/(-13400).
-2/125
Evaluate (-1 - 836/(-684)) + (-38)/9 + 38/7.
10/7
What is the value of (-1 + 34/33)/(55 - (-155988)/(-2835))?
-15/11
(-11968)/1056*42/119
-4
(-7)/(-1) + -6*(-63)/108 - (-77)/(-22)
7
Calculate (1860/(-168) - -11)/((-282)/(-3102)*1/(-2)).
11/7
(-146 - -52)/(0 + 10)
-47/5
Evaluate 20/23*(-375)/(-1500).
5/23
Evaluate 3 + (-315)/117 + (-24768)/(-624).
40
Evaluate -2*(((-4)/102)/((-1015)/1740))/(12/(-42)).
8/17
What is the value of ((-4860)/(-196))/(-5) - (79 + -40 - 44)?
2/49
489/22005 + 94/(-180)
-1/2
(-6*69/46 - 10*-1)/(102 - 8)
1/94
Evaluate (-77)/2*(-11 + -114 + 127).
-77
What is -8 - (55/4 + (880/(-64) - -11))?
-19
(44*(24/10)/4)/(-161*(-288)/115920)
66
(-1347)/(-11) + 192/(-11) + 47322/2629
123
Evaluate (2976/(-93) - 18/4)/((-10)/(-20)).
-73
What is the value of ((-17238)/(-119))/13*105/30?
39
Calculate ((-2)/5 - (3 - 116/35))*2475/1980.
-3/28
What is the value of 82 + (-1133784)/13398 + 2/(-22)?
-19/7
What is the value of -6 - -77 - 33 - 14/(6/(-3))?
45
Evaluate (-4)/(-7) + 0 + ((-18)/(-51) - (-3481556)/(-71162)).
-48
(-2508)/(-90) + ((-1936)/(-2640) - 6/10)
28
What is the value of 1904/22 + 646296/(-253902)?
84
0 - -53 - 761670/14322
-2/11
Evaluate (206 + -3)/(3435 - 3421).
29/2
What is the value of ((-1054)/8432)/(4*6/1296)?
-27/4
What is the value of ((-5)/(-28))/((-3440)/(-2408)) + (-718)/(-16)?
45
What is the value of ((-2)/(-15))/(39/((-3900)/(-1784)) + -18)?
-5/6
Evaluate (-130)/26 - (4536/6)/(-21)*(-1)/(-2).
13
Calculate ((-21876)/(-14584))/((-17)/(-2)).
3/17
What is the value of ((-28)/28)/(-4*10/1600*-1)?
-40
What is -16 - (-11 + 106/689 + (-335)/65)?
0
Calculate (-10)/(-8)*1216/190*(-1)/(-14).
4/7
What is the value of (-148)/(-1)*(18 - (-2574)/(-144))/(-1)?
-37/2
Calculate (79040/195)/152*(-1)/16.
-1/6
Calculate 2/(((-226)/565)/((-6)/(-45)*69)).
-46
Evaluate ((-12)/30)/((12992/(-640))/29).
4/7
Evaluate (1364/25575)/(56/700).
2/3
What is the value of 2319/27055 - (-1012)/35?
29
What is the value of (-14098)/186984 + (-4)/(-84)?
-1/36
Calculate ((-4)/1060)/(624/3120).
-1/53
Evaluate (54/144*-8)/(693/(-69) + 10).
69
((-3)/((-60)/(-16)))/(9016/980)
-2/23
What is (30/(-72))/((-1225)/882) - 0?
3/10
Calculate (-17*1/(-4))/(14/455*(-11375)/(-1400)).
17
Calculate (-559824)/4578 - (-1 - (-120)/21).
-127
What is ((-12)/(-15) - 2)*2/(-88)*4290/(-156)?
-3/4
What is the value of ((-978)/18)/((-4)/3) + (1209/(-124) - -10)?
41
What is (252 - 56)*(714/(-84) + 10 + -1)?
98
140/(-2) - ((-165 - -270) + -120)
-55
What is the value of 41097/(-515) - ((-30)/25)/(15/10)?
-79
Evaluate ((-39)/(3861/22))/((-4)/96).
16/3
What is the value of ((-430)/(-67080))/(15/90)?
1/26
(-5)/(4/4) - (6 + -88*(-7)/(-14))
33
(-2)/26*(127 + 43803/(-310))
11/10
Calculate (7/(28/(-2)) - -4)*(33 + -47).
-49
Calculate 18126/2166 + 6/(-171).
25/3
What is ((-221)/(-39) + -5)/(((-1344)/(-54))/7)?
3/16
What is 1*(17 - (7 - 15)) + 18?
43
(372/24 - 13)/((-155)/(-3596))
58
((-9)/(-12) - 208/64)*(26 - (-14 - -28))
-30
What is ((-588)/(-63) + -11)*-1*299/65?
23/3
Calculate (5/(-15))/(3/(-11) - (-710)/(-220)).
2/21
Evaluate (-512)/(-90) - (-9 + -2 + 86730/7350).
44/9
What is 45/18 + -3 + 7371/702?
10
What is -6 + 33 + ((-150)/200)/(1/(-16))?
39
Evaluate 12 + (16 - (4 + 17))/(30/(-192)).
44
Calculate (435/24)/1 - ((-1232)/(-128) - 10).
37/2
What is (55/66)/((-79)/(-30) - 200/80)?
25/4
What is -36 + (135584/1634 - 47)?
-1/43
Calculate (-21564)/(-599) - 249/7.
3/7
What is 1/19 + 2/228*-2742 + -32?
-56
Evaluate ((-1)/(18/(-8)))/(289926/512001 + (-12)/21).
-86
What is ((-16)/(-408) - 9904/2856)*(84/(-16))/3?
6
Evaluate ((1440/(-56))/((-2)/7))/((-120)/(-160)).
120
Calculate 125/10*((-72)/48)/3*4.
-25
Evaluate 23/92 - ((-1692)/(-16))/3.
-35
What is the value of (13 - (-2436)/12)/(-10)*1*(-40)/12?
72
What is the value of (-3)/9*(12 + (-17220)/1442)?
-2/103
Evaluate (-105)/(-222)*((-6 - -22) + -10) + -73 + 70.
-6/37
Evaluate 2/(11*5/(-715)) - -66.
40
((-126)/(-10))/((-108 - (-86100)/800)/(15/4))
-126
Evaluate (7/(-10))/(31800/(-320) - -95).
4/25
0 + 198/462*(-161)/552
-1/8
What is the value of (-255)/(-30)*-1*42/(-126)?
17/6
What is (2/(0 - -208))/((-83)/60922) - (-11 - -4)?
-3/52
Evaluate (-124)/(27 + 4)*44/16.
-11
What is the value of (-21917)/37572*(-9)/(-7)?
-3/4
What is the value of (-202)/3 - (-5765 + 5700)?
-7/3
What is (-8)/(-192) - (-8085)/59976?
3/17
Evaluate 39 - ((-36)/126)/((-13)/(-1183)).
65
(14204/49714)/((-1)/4)
-8/7
What is ((-7488)/(-702) - (-4)/12)*(-4)/814?
-2/37
What is the value of (10044/(-378))/(-31) - 20/7?
-2
Calculate 42/(-882)*(-14 - (-6 - 10))*3/2.
-1/7
Evaluate 17406/(-308473) + ((-64)/22 - 33/(-11)).
1/29
Calculate (-2)/(-121) + 10465808/31110068.
6/17
What is the value of -43 - (192/(-16) + -5) - -2?
-24
Evaluate 66/(-132)*(-57)/(-76)*88.
-33
Evaluate 48 + 11 - (18285/(-2300) - (-3)/(-60)).
67
Evaluate (-186)/14*((-8)/(-26) - (-82110)/(-55692)).
31/2
What is the value of 2 - (11 + 18 + -48)?
21
Evaluate (-3)/99*2673/(-1215).
1/15
What is (0 - -84)*(-6)/18 + 108?
80
Evaluate ((1 - (3 + 31))*23/(-69))/(16/(-48)).
-33
What is (6/16 - 609/(-232))/(221/13)?
3/17
((-84)/(-9))/((-9362)/(-112344))
112
What is the value of (-11)/((-66)/76)*411/274?
19
Calculate (-3136)/6174 + 330/594.
1/21
What is the value of (-7*196/343)/(-2*(-2)/4) + 60?
56
What is the value of ((-18942)/(-4018)*7/(-12))/(1/(-12))?
33
((-10)/4)/(16620/(-552) + 30)
23
What is 17/(-2448)*(-45 - -16 - -23)?
1/24
Evaluate (-60 - (-10498)/174) + -5 + 44/(-24).
-13/2
What is the value of ((13 - -23) + 21/(-1))*4/(-350)?
-6/35
Evaluate (51870/98)/(-13)*35/(-30)*-2.
-95
What is the value of 3/(-4) + -1147*4/(-5456)?
1/11
What is 180/8*(14/476)/(686/(-238) - -3)?
45/8
127/((-63500)/600)*220/6
-44
What is the value of (-13)/(130/240) - (-25230)/1015?
6/7
What is the value of ((-520)/(-280) - 2)/((-2)/48*12/(-9))?
-18/7
What is the value of (((-8)/20)/(-13*(-32)/4680))/((-105)/14)?
3/5
Calculate (-50)/6 + (169/(-65) - (-528)/180) - -32.
24
What is the value of 10070/(-530) + 741/13?
38
Calculate (1 - 0 - 10) + -102 + (-90 - -193).
-8
What is the value of 134/1044 - (12 + 749/(-63))?
1/58
What is the value of 844 + -890 - (-645)/12?
31/4
0 - 4/(-106) - 1653094/1205697
-4/3
-1*60/21*(-5733)/234 - (36 + -27)
61
Evaluate (-142158)/80028*-36 + 4/78.
64
Evaluate -18 + 13/(-78)*-2*27 + (0 - -1).
-8
Calculate ((-2494)/435)/(-43)*12/52.
2/65
((-108)/60 + 3)/((2/(-76))/(285/(-342)))
38
Evaluate (385/88 + 80/(-32))*(-1 - -3).
15/4
Calculate ((-9)/(-6) - 675/(-630) - -5) + -9.
-10/7
((-1095)/1971)/((-400)/(-96))
-2/15
Evaluate (135 - 84)/(-102)*4/(-109).
2/109
What is ((-560)/(-12))/(44296/14238)?
15
What is the value of 283269/(-23030) + 13 + -1?
-3/10
((-1000)/60 - -17)*(3 + -4 + 10) - -32
35
Evaluate 117/((-208)/16) - 38 - 1*3.
-50
What is (-12)/(-312)*47/((-7520)/64)?
-1/65
((-12)/5)/(-3)*(-785)/39878
-2/127
Calculate (368/7)/(-8)*(-4 + (-27)/(-6)).
-23/7
What is 5494/(-402) + 30/18?
-12
What is the value of (-24)/11*(-20405)/1113?
40
Calculate -29 + 21 + 1 + 43 + (-2)/4*-10.
41
What is (-119)/21*((-135)/(-54))/(5/12)?
-34
(420/36)/(755/1359)
21
Evaluate (40 - 40830/1410) + -11.
2/47
What is 58 + -26 + 13 - -18?
63
What is ((-267604)/6556 - (-78)/2)/((-2)/22)?
20
Evaluate (-2046 + 2025)*(219/(-77) - -3).
-36/11
What is the value of (-270)/(-420)*(-164)/(-205)*(-10)/(-12)?
3/7
What is the value of (165/99)/(17 - 7 - (-182)/(-18))?
-15
Evaluate (-160)/(-11440)*-13 - (7536/(-66) - 3).
117
Evaluate (-356)/(-1335) - (-5726)/(-210).
-27
Evaluate ((-71)/((-71)/4))/1.
4
Calculate (22/165)/(1287/10530).
12/11
(34/85)/(13 - (-418)/55)
2/103
Calculate (((161/(-14))/(-23))/(-31))/((-228)/(-1824)).
-4/31
What is -43*-4*((-14)/(-7) - 4)*(-6)/(-48)?
-43
What is the value of (-37580)/(-1879) + 154/(-8)?
3/4
Evaluate 1392/(-29) + (-5187)/247.
-69
What is the value of
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the thousands digit of 111214?
1
What is the units digit of 74227?
7
What is the units digit of 107?
7
What is the units digit of 19549?
9
What is the thousands digit of 2377?
2
What is the tens digit of 14386?
8
What is the thousands digit of 3211?
3
What is the hundreds digit of 1582?
5
What is the units digit of 124?
4
What is the units digit of 55107?
7
What is the thousands digit of 6059?
6
What is the ten thousands digit of 19063?
1
What is the units digit of 1622?
2
What is the tens digit of 16864?
6
What is the ten thousands digit of 66496?
6
What is the thousands digit of 8126?
8
What is the tens digit of 65?
6
What is the units digit of 6096?
6
What is the tens digit of 1495?
9
What is the thousands digit of 1684?
1
What is the tens digit of 3347?
4
What is the tens digit of 1897?
9
What is the thousands digit of 1783?
1
What is the tens digit of 1645?
4
What is the hundreds digit of 3659?
6
What is the hundreds digit of 1347?
3
What is the units digit of 3178?
8
What is the thousands digit of 1153?
1
What is the ten thousands digit of 22154?
2
What is the units digit of 18313?
3
What is the ten thousands digit of 38745?
3
What is the hundreds digit of 19240?
2
What is the hundreds digit of 277?
2
What is the thousands digit of 7131?
7
What is the hundreds digit of 763?
7
What is the thousands digit of 117584?
7
What is the hundreds digit of 39017?
0
What is the thousands digit of 1792?
1
What is the hundreds digit of 644?
6
What is the units digit of 3792?
2
What is the tens digit of 572?
7
What is the hundreds digit of 13971?
9
What is the tens digit of 14925?
2
What is the tens digit of 36?
3
What is the units digit of 77?
7
What is the units digit of 3282?
2
What is the hundreds digit of 9867?
8
What is the hundreds digit of 713?
7
What is the hundreds digit of 646?
6
What is the thousands digit of 81776?
1
What is the tens digit of 29?
2
What is the thousands digit of 6708?
6
What is the hundreds digit of 10619?
6
What is the thousands digit of 63549?
3
What is the ten thousands digit of 14511?
1
What is the hundreds digit of 765?
7
What is the tens digit of 1028?
2
What is the tens digit of 785?
8
What is the hundreds digit of 217?
2
What is the tens digit of 4008?
0
What is the units digit of 21368?
8
What is the units digit of 20937?
7
What is the hundreds digit of 5992?
9
What is the tens digit of 49911?
1
What is the hundreds digit of 61509?
5
What is the units digit of 7040?
0
What is the thousands digit of 9534?
9
What is the ten thousands digit of 45166?
4
What is the units digit of 476?
6
What is the units digit of 299?
9
What is the thousands digit of 1937?
1
What is the units digit of 2781?
1
What is the ten thousands digit of 140282?
4
What is the hundreds digit of 777?
7
What is the hundreds digit of 982?
9
What is the hundreds digit of 504?
5
What is the hundreds digit of 685?
6
What is the units digit of 576?
6
What is the units digit of 28980?
0
What is the units digit of 2853?
3
What is the tens digit of 1317?
1
What is the hundreds digit of 50308?
3
What is the tens digit of 7915?
1
What is the tens digit of 20611?
1
What is the ten thousands digit of 24417?
2
What is the thousands digit of 1017?
1
What is the hundreds digit of 233?
2
What is the tens digit of 30223?
2
What is the hundreds digit of 2392?
3
What is the units digit of 420?
0
What is the ten thousands digit of 10972?
1
What is the hundreds digit of 121592?
5
What is the thousands digit of 11110?
1
What is the tens digit of 4250?
5
What is the ten thousands digit of 17374?
1
What is the units digit of 5706?
6
What is the units digit of 12210?
0
What is the ten thousands digit of 19492?
1
What is the tens digit of 616?
1
What is the tens digit of 1057?
5
What is the hundreds digit of 8919?
9
What is the hundreds digit of 4741?
7
What is the tens digit of 1072?
7
What is the units digit of 6434?
4
What is the units digit of 33874?
4
What is the ten thousands digit of 36622?
3
What is the units digit of 76?
6
What is the thousands digit of 40427?
0
What is the hundreds digit of 90204?
2
What is the hundreds digit of 19987?
9
What is the units digit of 11791?
1
What is the tens digit of 524?
2
What is the thousands digit of 6921?
6
What is the ten thousands digit of 150366?
5
What is the hundreds digit of 37243?
2
What is the tens digit of 5060?
6
What is the thousands digit of 5974?
5
What is the tens digit of 6233?
3
What is the hundreds digit of 11518?
5
What is the tens digit of 78079?
7
What is the thousands digit of 100026?
0
What is the ten thousands digit of 88812?
8
What is the units digit of 25241?
1
What is the units digit of 6086?
6
What is the hundreds digit of 5503?
5
What is the units digit of 37502?
2
What is the units digit of 74525?
5
What is the units digit of 267?
7
What is the thousands digit of 16128?
6
What is the tens digit of 3309?
0
What is the hundreds digit of 1358?
3
What is the hundreds digit of 57874?
8
What is the thousands digit of 2390?
2
What is the hundreds digit of 342?
3
What is the units digit of 6045?
5
What is the hundreds digit of 16936?
9
What is the units digit of 122?
2
What is the thousands digit of 36077?
6
What is the hundred thousands digit of 118324?
1
What is the tens digit of 7428?
2
What is the hundreds digit of 12580?
5
What is the thousands digit of 3189?
3
What is the hundreds digit of 277?
2
What is the hundreds digit of 47611?
6
What is the hundreds digit of 45129?
1
What is the hundreds digit of 8933?
9
What is the thousands digit of 8695?
8
What is the tens digit of 8613?
1
What is the tens digit of 57609?
0
What is the ten thousands digit of 16824?
1
What is the ten thousands digit of 11421?
1
What is the ten thousands digit of 19539?
1
What is the units digit of 2270?
0
What is the hundreds digit of 713?
7
What is the ten thousands digit of 21688?
2
What is the tens digit of 1369?
6
What is the units digit of 1043?
3
What is the thousands digit of 13645?
3
What is the ten thousands digit of 21779?
2
What is the hundreds digit of 641?
6
What is the units digit of 19628?
8
What is the ten thousands digit of 22952?
2
What is the hundreds digit of 6843?
8
What is the units digit of 276?
6
What is the tens digit of 4081?
8
What is the hundreds digit of 4124?
1
What is the tens digit of 224?
2
What is the units digit of 266?
6
What is the ten thousands digit of 12628?
1
What is the thousands digit of 12433?
2
What is the tens digit of 101951?
5
What is the hundreds digit of 6755?
7
What is the thousands digit of 1043?
1
What is the ten thousands digit of 29813?
2
What is the hundreds digit of 22929?
9
What is the tens digit of 729?
2
What is the thousands digit of 2412?
2
What is the units digit of 1113?
3
What is the units digit of 4024?
4
What is the tens digit of 6090?
9
What is the units digit of 1566?
6
What is the hundreds digit of 14194?
1
What is the hundreds digit of 10164?
1
What is the tens digit of 245?
4
What is the thousands digit of 18739?
8
What is the units digit of 2090?
0
What is the hundreds digit of 538?
5
What is the thousands digit of 18740?
8
What is the units digit of 5818?
8
What is the ten thousands digit of 13108?
1
What is the hundreds digit of 112163?
1
What is the tens digit of 4505?
0
What is the tens digit of 63898?
9
What is the units digit of 657?
7
What is the tens digit of 244?
4
What is the hundreds digit of 10787?
7
What is the tens digit of 93747?
4
What is the units digit of 468?
8
What is the thousands digit of 4864?
4
What is the hundreds digit of 892?
8
What is the tens digit of 1861?
6
What is the tens digit of 95896?
9
What is the units digit of 401?
1
What is the units digit of 52546?
6
What is the ten thousands digit of 49137?
4
What is the hundreds digit of 10376?
3
What is the hundreds digit of 13599?
5
What is the units digit of 86?
6
What is the thousands digit of 1260?
1
What is the thousands digit of 3645?
3
What is the thousands digit of 1404?
1
What is the tens digit of 8991?
9
What is the units digit of 4736?
6
What is the ten thousands digit of 21348?
2
What is the ten thousands digit of 25949?
2
What is the tens digit of 4912?
1
What is the tens digit of 39703?
0
What is the hundreds digit of 2116?
1
What is the tens digit of 7
|
{
"pile_set_name": "DM Mathematics"
}
|
5*f. Suppose a*k = 6*k + 450. What is the remainder when k is divided by 23?
21
Let n = -14 + 40. Calculate the remainder when 77 is divided by n.
25
Let z be (3 - (2 + -1))*4. Let c = 10 - z. Calculate the remainder when 6/1*1/2 is divided by c.
1
Calculate the remainder when 132 is divided by 6/(-14) + (-101)/(-7) + 1.
12
Calculate the remainder when ((-16)/5)/(22/(-495)) is divided by 15.
12
Let r be (-61)/(-4) + 1/(-4). Suppose -5*f - 60 + 16 = k, 0 = 3*f - 4*k + 31. Let p = r + f. What is the remainder when 10 is divided by p?
4
Suppose 5*r - 46 = -4*d - 12, 0 = -3*r - 5*d + 10. Let h = 14 - r. Suppose 5*b = 4*z + 49, -3*b - 5*z = -1 - 58. Calculate the remainder when b is divided by h.
1
Suppose -2*h = -4*h + 6. Suppose 2*f + 0*f - 16 = 0. Calculate the remainder when f is divided by h.
2
Let u = 24 - 8. Calculate the remainder when 47 is divided by u.
15
Let v be 6/(-9)*(14 - 2). Suppose 0*m - 36 = -3*m. What is the remainder when v*((-51)/4)/3 is divided by m?
10
Let w(v) = -13*v - 63. What is the remainder when w(-9) is divided by 21?
12
Suppose -f - 3*d + 54 = 0, 0 = f - 3*d - 2*d - 38. Let c = f - 0. What is the remainder when c is divided by 17?
14
Let u(z) = -6*z**3 + 1. Let l be u(1). What is the remainder when 60 is divided by l + (-9)/(-3) + 33?
29
Let f = 8 + -8. Let b(z) = z - 3. Let i be b(f). Calculate the remainder when -11*((-9)/(-3))/i is divided by 3.
2
Let l = -3 - -4. Let s(j) = 3*j + 1. Let z be s(l). Suppose -5*y + 19 = 3*p - y, -4*y + z = 0. What is the remainder when 9 is divided by p?
4
Suppose -2*c - 3*c = -50. Let k(y) = -28*y + 1. Let v(o) = o**2 - 5*o - 1. Let r be v(5). What is the remainder when k(r) is divided by c?
9
Let k = -74 + 141. Let f be (-18)/(-42) + (-6)/14. Suppose f = -8*c - 68 + 252. What is the remainder when k is divided by c?
21
Suppose 2*r + v = 2*v + 39, -2*v = 3*r - 69. What is the remainder when r is divided by 12?
9
Let j(m) be the third derivative of -37*m**6/120 + m**4/12 + m**3/6 - m**2. Let b be j(-1). Let n = 50 - b. What is the remainder when n is divided by 5?
4
Let r be 8/(-3)*3/(-2). Suppose r*m = 3*m + 2. What is the remainder when 1/1 - (-3 - 1) is divided by m?
1
Suppose -144 = -5*d - d. Suppose 0 = 3*v - d - 15. Calculate the remainder when v is divided by 5.
3
Let j = 93 + -12. Suppose -j = -4*y - 21. Calculate the remainder when y is divided by 8.
7
Suppose -2 = -0*u + u. What is the remainder when 35 is divided by (u - (3 + -2)) + 12?
8
Suppose -w - 2*w + 270 = 0. Suppose -4*i = -2*i + 5*m - 64, 5*m = 5*i - w. Calculate the remainder when i is divided by 8 + -1 + -1 + 2.
6
Let y(j) = j**3 - 11*j**2 - 12*j. Let c be y(12). Suppose c = 5*r - 47 + 2. What is the remainder when 25 is divided by r?
7
Let c = 9 + -6. Suppose 2*v - c = 7. Calculate the remainder when 14 is divided by v.
4
Let y(g) = g**3 + 2*g + 60. Let w(s) = s + 1. Let j(i) = -2*w(i) + y(i). Calculate the remainder when j(0) is divided by 20.
18
Let y be (-4)/(2/(-1)) + 10. Suppose y + 2 = 2*p. What is the remainder when 13 is divided by p?
6
Let p = -150 - -183. What is the remainder when 100 is divided by p?
1
Let o(h) = h**2 + 12*h + 30. Calculate the remainder when 48 is divided by o(-10).
8
Suppose -3*z + 40 = -50. Suppose 0 = 6*r - 388 - 140. What is the remainder when r is divided by z?
28
Let m(c) = -c**2 - 3*c - 2. Let u be m(-5). Let j(f) = -f**3 - 13*f**2 - 13*f + 6. What is the remainder when j(u) is divided by 7?
4
Suppose d + 4*d - g = 10, 4*d = 5*g - 13. Suppose d*z + 165 = -0*k + 3*k, -k + 61 = -4*z. What is the remainder when k is divided by (1 - -3)/(14/63)?
17
Let n(p) = -p**2 - 12*p - 3. Calculate the remainder when 223 is divided by n(-5).
31
Suppose a = 3*a - 50. Let t = 37 - a. What is the remainder when t is divided by 5?
2
Let d(b) = -b**3 + 7*b**2 - 9*b + 8. Let z be d(6). Calculate the remainder when (-12)/(-10)*(-25)/z is divided by 2.
1
What is the remainder when -3 - -28 - 0/(-3) is divided by 9?
7
Calculate the remainder when 24 is divided by 8/4 - -10 - 3.
6
Let n = 4 + 9. Calculate the remainder when 37 is divided by n.
11
Suppose 3*t + 8 = 23. Suppose t*b - 44 - 36 = 0. What is the remainder when 63 is divided by b?
15
Let x(d) = 33*d. Suppose 4*q - 3*m = 51, 0 = -4*q - 4*m + 1 + 15. Calculate the remainder when x(1) is divided by q.
6
Suppose -33 = -5*r + 4*r. Let q(t) = -t**3 + 9*t**2 + 12*t - 3. Calculate the remainder when r is divided by q(10).
16
What is the remainder when 53 is divided by 13 + (2 - (2 - 2))?
8
Let h = 42 - 29. Calculate the remainder when 1 + (-2 - 0) + 39 is divided by h.
12
Calculate the remainder when 6 is divided by (-8)/(-3)*9/6.
2
Let c(t) = t**2 + 5*t - 8. What is the remainder when 63 is divided by c(-8)?
15
Suppose 3*o - 106 = -x, 4*o - x = 31 + 108. Suppose -7*m = -5*b - 2*m + 55, -3*m + 3 = 0. Calculate the remainder when o is divided by b.
11
Suppose -4*p = 28 - 248. Calculate the remainder when p is divided by 19.
17
Let z be 2/(2 + 168/(-87)). Let n = -12 + z. What is the remainder when 64 is divided by n?
13
Let y = 116 + -63. Calculate the remainder when y is divided by 19.
15
Let u be 2/(-3) + 537/9. Let b = u - -2. Calculate the remainder when b is divided by 16.
13
Suppose 4*s + 7*q = 2*q + 86, -3*q + 101 = 5*s. What is the remainder when 94 is divided by s?
18
Let t = 61 + -35. Let y = -17 - -12. Let b = y - -19. Calculate the remainder when t is divided by b.
12
Let l(m) = m**3 + 3*m**2 - 3*m - 1. Suppose 2*j + 9 = 55. Calculate the remainder when j is divided by l(-3).
7
What is the remainder when 85 is divided by 6/(-8)*228/(-9)?
9
Suppose 0*s = -4*s + 8. Let m(k) be the second derivative of 3*k**3 - 3*k**2/2 + 26*k. What is the remainder when m(s) is divided by 9?
6
Let g(w) = w**3 + 10*w**2 - 24*w + 20. Let l = -140 - -198. What is the remainder when l is divided by g(-12)?
18
Let k(b) be the second derivative of -b**5/20 + 2*b**4/3 + 3*b**2/2 + b. Suppose 24 = 3*h - 0*h. What is the remainder when 7 is divided by k(h)?
1
Let c be 1 + -2 - (-1 - -4). Let u(j) be the first derivative of -j**4/4 - 5*j**3/3 - 3*j**2/2 + 5*j - 1. What is the remainder when 2 is divided by u(c)?
0
Let d be 36/2 + (0 - 0). Suppose 2*g - 4*y = -3*y + d, 0 = g - 5*y. What is the remainder when 78 is divided by g?
8
Suppose 0*s = -4*s + 12. Suppose 0 = -4*w - w + 3*f + 58, -3*f = -3*w + 36. What is the remainder when w is divided by s?
2
Let r(b) = -7 + 2*b - 7*b + 19*b + 2*b**2. What is the remainder when 16 is divided by r(-8)?
7
Let a be 6/(-24) + (-66)/(-8). Calculate the remainder when (1 - 50/a)*-4 is divided by 11.
10
Suppose 31 = 4*s + k - 112, 182 = 5*s - 2*k. What is the remainder when s is divided by 10?
6
Let g = -29 + 74. Suppose m + 3 = 3*k - 0*k, -2*k + 46 = 3*m. Calculate the remainder when g is divided by m.
9
Let z(r) = -23*r**3 - r - 1. Calculate the remainder when 68 is divided by z(-1).
22
Let c be (3 - 1)/(-2 - -4). Calculate the remainder when 42 is divided by -1 - 4/c*-4.
12
Suppose -2*f - 4*d = -2*d + 36, 26 = -f - 5*d. Let w = 39 + f. Let c(z) = 8*z. Calculate the remainder when w is divided by c(1).
7
Suppose -10 = -h + 24. What is the remainder when 66 is divided by h?
32
Suppose -18*w + 20*w = 60. Calculate the remainder when w is divided by 17.
13
Let i(s) = -s**3 - 2*s**2 + 30*s - 10. Let m = -43 - -82. What is the remainder when m is divided by i(4)?
11
Let v(i) = 7*i**2 - 2*i - 15. Let p(z) = 15*z**2 - 4*z - 29. Let a(m) = 6*p(m) - 13*v(m). Calculate the remainder when a(0) is divided by 8.
5
Let t be ((-3)/(-3)*-10)/(-2). Suppose -2*x = -h - 29, -t*x - 2*h = -0*h - 68. What is the remainder when 26 is divided by x?
12
Let s = 5 + -9. Let z be (-7 + 83)/((-2)/s). Suppose -4*a + z = 8. What is the remainder when a is divided by 19?
17
Suppose 4*o = 13*o - 135. Calculate the remainder when 43 is divided by o.
13
Calculate the remainder when (312/(-15))/((-2)/5) is divided by 16.
4
Suppose r + 0*r - 25 = 0. Calculate the remainder when r is divided by 14.
11
Let k = -6 + 6. Suppose -3*m - 2*m + 35 = k. Suppose 4*w = 4*n - 27 - 9, 4*n + 4*w - 60 = 0. What is the remainder when n is divided by m?
5
Let o(d) = d**3 + 5*d**2 - 6*d - 1. Calculate the remainder when o(-5) is divided by 0 - -18 - 15/5.
14
Let d = -42 + 61. C
|
{
"pile_set_name": "DM Mathematics"
}
|
5 = -4*d, -3*d - 6*t - 87 = -3*t. What is the lowest common multiple of c and (1/(-2))/(2/d)?
7
Let c be ((-32)/12)/((-4)/(-6)). What is the lowest common multiple of -7*((-36)/(-14) + c) and 8?
40
Let i = -72 - -170. Calculate the least common multiple of i and 2.
98
Let y be -1 - (-2)/(-2204)*-1114. Let g = y + -33731/11020. Let w = 27055/6 - 4532. Find the common denominator of w and g.
60
Let n = 6 - 15. Let f be 9 - 0*3/n. Find the common denominator of -77/18 and (f/6)/((-21)/27).
126
Let r(x) = -3*x**2 + 17*x. Let u(p) = -2*p**2 + 11*p. Let m(s) = -5*r(s) + 8*u(s). Suppose -2*b = -0 - 4. Calculate the least common multiple of 4 and m(b).
4
Let o be 5964/(-8) - 3/(-6). Let k = o - -3071/4. What is the common denominator of 23/4 and k?
4
Let l = 21 + -16. What is the least common multiple of l and 8?
40
Let y = -43 - -123/4. What is the common denominator of 137/18 and y?
36
What is the common denominator of -25/2 and (-4)/(-36) - (-4350)/1188?
22
Suppose 4*a = 2*r - 10802, -4*a + r - 10805 = 2*r. Let l = -21571/8 - a. Find the common denominator of l and 3/(462/175) - 6/(-4).
88
Let v be 15*(-2 + 13/3). Let m = -2 - -4. Suppose 2*w = m*n + 30, -2*w + v = 3*w + 5*n. What is the least common multiple of w and 7?
77
Suppose -5*d = 3*a - 0*a + 101, 0 = -3*d + a - 69. Let x = d - -57. Let u = -25 + x. What is the least common multiple of 20 and u?
20
Suppose 20 = t - 29. Let p = -109 - 309. Let b = p + 3339/8. Calculate the common denominator of t and b.
8
Let f = 9 - 3. Suppose -3*l + 7 = 1. Suppose 100 = -l*m + 7*m. What is the least common multiple of m and f?
60
Let v = 17 + -14. Suppose y - 10 = -5*j + 1, -j - 11 = -y. What is the least common multiple of v and y?
33
Let o = -59 + 21. Let l = -18 - o. What is the lowest common multiple of 16 and l?
80
Let d be ((-13136)/132)/(1/3). Let o = d - -31641/110. Calculate the common denominator of 39/11 and o.
110
Suppose -5*m = -4*m - 6. Suppose 0 = -4*v - 2*r + 32, r - 4*r = 5*v - 38. Calculate the least common multiple of v and m.
30
Let k = -30 - -8. Let u = 38 + k. Calculate the least common multiple of 0 + (-6)/(-3) + 16 and u.
144
Let g = 17 + -9. Calculate the smallest common multiple of g and 14.
56
Let u(q) = q**2 + 4*q + 1. Calculate the least common multiple of 2 and u(-4).
2
Let w = 107 - 65. Calculate the lowest common multiple of 8 and w.
168
Let t = 11632/2195 - -3/4390. Suppose 2*u = 4*l - 4, 7*l - 3*l + 2*u = 12. What is the common denominator of 118/(-9) + l/(-9) and t?
30
Let z(s) = 34*s**2 - s. What is the least common multiple of 33 and z(1)?
33
Let k = 4 + 8. Let n(t) = t - 4. What is the smallest common multiple of 11 and n(k)?
88
Let r = -22512 - -144113/8. Suppose 6*u - u = -22430. Let y = u - r. Calculate the common denominator of 11/18 and y.
72
Let b be (-4)/10 - (-32)/5. Suppose 3*f - 7*f + 44 = 4*t, 5*t = 15. Let m = f - b. Calculate the lowest common multiple of 9 and m.
18
Let q = -5936/117 - -622/13. Let y = q - -97/18. What is the common denominator of y and -47/2?
2
Let g = 37 + -6. What is the lowest common multiple of 10 and g?
310
Suppose -407 = -3*f - 1010. Let y be f/(-3) - (1 - 1). Calculate the common denominator of -55/12 and -1*(-3)/(1 - y).
132
Calculate the smallest common multiple of 16 and 6/(-24) - 146/(-8).
144
Let l(m) = -8*m**2 + 3*m - 3. Let p be l(2). Let q = p - -49. What is the lowest common multiple of 4 and q?
20
Calculate the common denominator of 20/3 and 2/4 + 1106/112.
24
Let c = 5 + -2. Let g = c - 1. Calculate the least common multiple of g and 14.
14
Let w be 2 - -2 - (3 - 2). Suppose 3*m = 7*m + 4*q, 4*m - w*q + 14 = 0. What is the common denominator of -55/3 and m/(-1) + 68/22?
33
What is the common denominator of ((-126)/(-120))/((-2)/10) and -30?
4
Suppose 5*x = -3*r + 23, 0 = 4*r + 2*x + 3*x - 24. Let b = 2 + r. Suppose 12 + 8 = 2*j + i, b*j - 5*i = 56. Calculate the smallest common multiple of 8 and j.
24
Let b(i) = -3*i + 1. Let g be b(-1). Suppose 0 = 2*d - 3*r - 14, 0*d = d + 3*r + 2. Suppose -d*h + g = -4. Calculate the least common multiple of h and 14.
14
Let w = 5 + -1. Suppose 3*a - 13 + w = 0. Calculate the least common multiple of 10 and a.
30
Let f(i) = -2*i**3 - 16*i**2 - 12*i + 19. Calculate the smallest common multiple of 96 and f(-7).
480
Let u = -16 - -15. Calculate the smallest common multiple of (5 + u)/((-7)/(-21)) and 6.
12
What is the lowest common multiple of (1 + (-3)/2)/(2/(-84)) and 10?
210
Calculate the least common multiple of 18 and 1 + 2 - -16 - -3.
198
Let d(u) = u + 8. Suppose 0 = 3*q + 2*q - 50. What is the lowest common multiple of d(8) and q?
80
Suppose -2*r + 0*r - 61 = -q, 5*q = -15. What is the common denominator of (-1)/(-1) - 42/r and ((-568)/(-40))/(12/5)?
48
Let z = 12343/8 + -1531. Calculate the common denominator of 81/16 and z.
16
Let n = -210095/996 + 35/332. Let b = n - -647/3. Find the common denominator of 75/(-6)*8/(-70) and b.
42
Suppose -u + 12 = 2*u. Suppose -3*v = -u - 2. What is the lowest common multiple of 20 and v?
20
Let p = 3 + -9. Let t be 15/9*(0 - p). What is the smallest common multiple of 10 and (-1)/((-3 - -2)/t)?
10
Suppose -4*n = -3*y - 43, 0*y - 45 = -5*n - 5*y. Suppose -14 = 2*q - 3*q. Calculate the smallest common multiple of n and q.
70
Suppose b + 132 = 4*u - 4*b, -2*b - 64 = -2*u. Calculate the smallest common multiple of u and 4.
28
Let d = -593/6 - -523/6. What is the common denominator of d and -97/10?
30
Let g(u) = -u + 4. What is the smallest common multiple of 2 and g(-7)?
22
Let j be ((-27)/36)/(1/3256). Find the common denominator of 61/8 and 4/10 - j/(-780).
104
Let g be (-24)/15 - 6/15. Find the common denominator of -1 + (2 - 26/g) and 222/(-55) - (-4)/10.
11
Let x(f) = 19*f**3 - f**2. Let v be x(-1). Find the common denominator of 1/6 and (v/18)/(2/12).
6
Suppose z - 10 = -0*z. Let v(c) = 6*c - 4 + c**3 - 7*c**2 + 4*c - 3*c. What is the least common multiple of z and v(6)?
10
Let y be ((-13)/15)/((-8)/(-84)). Let n = y - -16/5. What is the common denominator of 3/(-10)*(-1885)/78 and n?
20
Let m(n) = -n**3 + 8*n**2 - 8*n + 7. Let w be m(7). Let p = 1 - w. What is the lowest common multiple of p and 12 - (3 - 3) - 5?
7
Let k = 7124 + -16233. Let x = k + 14957. Let s = x + -116879/20. What is the common denominator of 95/22 and s?
220
Suppose -3*q = q + 4. What is the least common multiple of 2 and (-68)/(-16) - q/(-4)?
4
Let r(x) = -232*x - 3. Let d be r(-3). Let u = d - 6949/10. What is the common denominator of u and -40/7?
70
Let r be (-4)/(-8) - (-467)/4. Let j = r + -3155/28. Let x = -15536/7 + 2211. Find the common denominator of j and x.
7
Let f be (-6)/14 - 13665290/1400. Let a = f + 9766. Find the common denominator of a and 117/20.
20
Find the common denominator of 1 + 18/(-44) - 1 and 21/2.
22
Suppose 11*q - 180 = 106. What is the least common multiple of q and 2?
26
Let f(i) = -254*i**2 - 1. Let w = 3 - 5. Let o be f(w). Let l = o + 5114/5. Calculate the common denominator of l and 55/9.
45
Let v be 6/1499*(-72958)/80. Let t = -1/2998 - v. Find the common denominator of 4/16*618/15 and t.
20
Let d be 1*2*(-3)/2. Suppose 2*u - 5 = 19. Let k = d + u. What is the lowest common multiple of 10 and k?
90
Suppose -z + 67 = -4*d, 0 = -z + 5*z - 12. Let a = d - -22. What is the lowest common multiple of a*((-20)/6)/(-2) and 22?
110
Let g be (-10)/(-35) + (-11056)/(-14). Calculate the common denominator of -46/7 and (-5)/4*g/100.
56
Let v = 0 + 16. Suppose -2*p + 49 = -0*p + 5*n, 2*p + 4*n - 44 = 0. What is the smallest common multiple of p and v?
48
Let s be (78/9)/(3/135). Find the common denominator of -24 and (-2)/8*s/25.
10
Let o = 635/8 + -335/4. What is the common denominator of ((-32)/(-30))/((-1)/(-3)) and o?
40
Let g be (-2)/5 - (-265)/(-25). Suppose -s + 7 = 29. Let w = g - s. What is the lowest common multiple of 5 and w?
55
Let n = -109 - -110. Calculate the least common multiple of n and 24.
24
Let l = 2 - 0. Find the common denominator of 653/(-180) + l/(-9) and ((-3)/(-28))/((-9)/(-30))*-1.
140
Suppose -4*b + 3 = -17. Suppose -6*d = -4*d - 20. What is the least common multiple of 31/b - (-2)/(-10) and d?
30
Let n = -54623 + 436447/8. Let x = n + 861/8. Calculate the common denominator of x and (-2)/8 - (-239)/20.
10
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
of 1793922*r**4 - 5*r**2 - 29699307?
7175688*r**3 - 10*r
What is the third derivative of 2*c*x**4 - 4*c*x**3 + c*x**2 - 18912718*c*x + c + 4237168*x**5 wrt x?
48*c*x - 24*c + 254230080*x**2
Find the third derivative of -2*d**6 - 441381961*d**3 + 777*d**2 - 2999*d + 8.
-240*d**3 - 2648291766
What is the third derivative of -450*f**3*q + 20154*f**3 + 21*f**2*q + 1784*f**2 - 2*f - 27*q + 1 wrt f?
-2700*q + 120924
Find the third derivative of 17*c**6 + 80735*c**3 - 8289460*c**2 wrt c.
2040*c**3 + 484410
What is the derivative of h*l*z - 8*h*z + 584258*h - l*z + 3*l - 2081855*z + 3 wrt h?
l*z - 8*z + 584258
What is the third derivative of 33641907*o**4 - 28511691*o**2?
807405768*o
Find the second derivative of 3847724*g**3 + 2*g**2 + 61868072*g.
23086344*g + 4
Find the third derivative of 4415541*f**6 + 12798063*f**2 wrt f.
529864920*f**3
What is the derivative of -o**3 + 2*o**2 + 524861*o + 178035802?
-3*o**2 + 4*o + 524861
Find the third derivative of -160288568*d**3*m**3 - 127487*d**3*m**2 - 21*d**3 + d*m**2 + 2 wrt m.
-961731408*d**3
What is the second derivative of -926*x**5 + x**4 + 122*x**3 + 25992576*x wrt x?
-18520*x**3 + 12*x**2 + 732*x
Differentiate 217067088*r**3 - 102434684 wrt r.
651201264*r**2
What is the third derivative of 7*o**4 + 5112024*o**3 + 7*o**2 - 11716962 wrt o?
168*o + 30672144
What is the third derivative of 4*z**4 + 4492415*z**3 - 83309364*z**2?
96*z + 26954490
Find the third derivative of 285*f**4 - 561065*f**3 - f**2 + 68683223 wrt f.
6840*f - 3366390
Find the second derivative of -4331*b*q*r**2 + 3536*b*q - b*r**2 + 1009*b*r + 184*q*r**2 - r**2 wrt r.
-8662*b*q - 2*b + 368*q - 2
Find the second derivative of 6241768*l**2 - 205633951*l.
12483536
What is the third derivative of -318387397*s**4 + 551395470*s**2?
-7641297528*s
Find the third derivative of 5*g**6 - 94602*g**3*u**2 + 2*g**2*u**2 - 223*g**2*u - 2*g*u - 1630 wrt g.
600*g**3 - 567612*u**2
Find the third derivative of -21558424*t**3 + 732*t**2 + 1223*t wrt t.
-129350544
Find the third derivative of -32437824*r**5 - 2*r**4 + 3*r**2 - 1808042.
-1946269440*r**2 - 48*r
Differentiate 10*q**2*t + 60756011*q**2 + q*t**2 - 25*q*t + 7251*t with respect to t.
10*q**2 + 2*q*t - 25*q + 7251
What is the derivative of -41*v**3 - 6633*v**2 + 26*v + 16780560?
-123*v**2 - 13266*v + 26
Differentiate -300763521*l + 300686880.
-300763521
What is the first derivative of 104884104*m**4 + 81901161?
419536416*m**3
Find the second derivative of 497*d**2*s**2 + 2529*d**2*s - 82*d*s**2 - 655*d*s + 52 wrt d.
994*s**2 + 5058*s
Differentiate -1855461*g**2*m + 2764*g**2 - 124*g + 4 wrt m.
-1855461*g**2
Find the first derivative of -2*q**2 + 248799916*q - 1236483144 wrt q.
-4*q + 248799916
What is the third derivative of -9175976*s**3 + 3727*s**2 + 4645?
-55055856
Find the third derivative of -823*u**5 + 299*u**4 - 8*u**3 - 333548*u**2 - 196 wrt u.
-49380*u**2 + 7176*u - 48
Find the third derivative of 794884*p**3 - 743990*p**2 + 2*p - 1 wrt p.
4769304
Find the second derivative of -11147280*m**3 + 3*m**2 + 179963670*m wrt m.
-66883680*m + 6
Find the third derivative of q**5 + 2133*q**4 + 336*q**3 + 6411791*q**2.
60*q**2 + 51192*q + 2016
What is the derivative of -3637*y**2 + 15044*y + 322670241 wrt y?
-7274*y + 15044
What is the derivative of 2*d**2 - 55954387*d*s - 2716*s + 1339 wrt d?
4*d - 55954387*s
Find the third derivative of -393748*h**5 - 13*h**3 - 13*h**2 + 953495.
-23624880*h**2 - 78
Find the first derivative of -504*b*g + 1879*b - 28*g + 40994 wrt b.
-504*g + 1879
Find the second derivative of -119643414*i**2 + 66108404*i.
-239286828
Find the second derivative of -11030141*i**2 - 8996057*i wrt i.
-22060282
What is the third derivative of 9530189*z**4 + 12*z**3 + 111762740*z**2?
228724536*z + 72
Find the third derivative of -10010222*x**5 - 6*x**4 + 61*x**2 - 2*x + 121229 wrt x.
-600613320*x**2 - 144*x
Find the third derivative of 123730*r*x**3 - 2*r*x**2 - 32*r*x + 7842*r - 17*x**3 + x**2 + 2*x wrt x.
742380*r - 102
Find the second derivative of -25951417*q**3 - 76*q + 10068.
-155708502*q
Differentiate a*m + a*z - 581009*a + 36*m*z + 51710*m + z with respect to a.
m + z - 581009
What is the second derivative of d**3*j + 2*d**3 + 931*d**2*j + 28833*d**2 - 13914*d*j - 585*d - 3*j wrt d?
6*d*j + 12*d + 1862*j + 57666
What is the third derivative of 8382*j**5 - 2727*j**4 - 12350444*j**2?
502920*j**2 - 65448*j
What is the second derivative of -198121468*h**2 + 50796101*h wrt h?
-396242936
Differentiate -10335248*x**4 - 29738810 wrt x.
-41340992*x**3
What is the derivative of 3372*n**3 - 9882*n**2 - 63634725?
10116*n**2 - 19764*n
Find the second derivative of -247716*n**5*s + 39*n**5 - 5975028*n + s wrt n.
-4954320*n**3*s + 780*n**3
What is the second derivative of 257652431*l**3 + 45499*l + 470?
1545914586*l
What is the third derivative of 14*d*f**3 + 2*d - 17137074*f**3 - 203695829*f**2 wrt f?
84*d - 102822444
Find the first derivative of 69393482*a*c**2 + 1261*c**2 - 166*c + 17 wrt a.
69393482*c**2
What is the first derivative of -435318812*t + 423719957?
-435318812
Find the third derivative of -h**3*s**3 + 18*h**3*s + 27269*h**3 - 3952760*h**2*s**3 - 2*h**2*s wrt h.
-6*s**3 + 108*s + 163614
Find the first derivative of 720260*i*s**3 + 1785964*s**3 wrt i.
720260*s**3
Find the first derivative of r**2*t + 2*r**2 - 1134611*r*t - 2*r - 74439285*t wrt r.
2*r*t + 4*r - 1134611*t - 2
What is the third derivative of -230002140*k**3*n**3 + 2*k**3*n**2 + 4349990*k**3*n + 7*k**2 - 2 wrt n?
-1380012840*k**3
What is the second derivative of -97103160*z**3 - 39101153*z?
-582618960*z
Find the second derivative of 915*h**2*i**2 + 3*h**2*i - 74654*h**2 - h*i**2 + h*i + 2*h + 10947*i**2 + 1 wrt i.
1830*h**2 - 2*h + 21894
Differentiate 12431520*x**2 - 4801716.
24863040*x
Find the second derivative of 2875760*p**5 + 43*p**3 + 281595940*p wrt p.
57515200*p**3 + 258*p
What is the third derivative of 3959375*f**3 + 3*f**2 - 9913*f - 3 wrt f?
23756250
Find the second derivative of -516*y**4 - 10685*y**3 - y**2 - 21459*y + 306.
-6192*y**2 - 64110*y - 2
Find the first derivative of 141*c**2*p + 4*c**2 - 37012*c*p + 92385*c - 2*p wrt p.
141*c**2 - 37012*c - 2
Find the third derivative of 9074524*o**3*s*t**3 - 2*o**2*s*t + 2*o**2*s - 3*o**2*t**2 - 9*o*t**3 - 3*s*t**3 - 396*t**3 wrt o.
54447144*s*t**3
What is the second derivative of 1264*j**3*s**2*w + 69127*j**3 + 2*j**2*w + 5*j*s**2*w + 3*j*s**2 - 5*j*s*w - 33240*j*s - 6*j*w wrt j?
7584*j*s**2*w + 414762*j + 4*w
Find the second derivative of 176*t**5 - 87*t**4 - 8*t**2 - 100822414*t.
3520*t**3 - 1044*t**2 - 16
Find the second derivative of -133815163*m**2 + 38167666*m wrt m.
-267630326
Differentiate -3*a*i*p*r**2 + 305219496*a*i*p + 2*a*i*r - 16*a*r**2 - 5*a + 5*i*r**2 + 162*r**2 - 3 wrt p.
-3*a*i*r**2 + 305219496*a*i
What is the derivative of 776607*n**2 + n + 843380?
1553214*n + 1
Find the first derivative of 2*d*x + 12644991*d + 51*x + 145617 wrt d.
2*x + 12644991
Differentiate -135807281*t*w + 83081*w - 465 with respect to t.
-135807281*w
What is the first derivative of -4804601*x + 6917271 wrt x?
-4804601
Find the first derivative of -2*y**2 + 66593030*y + 22385215 wrt y.
-4*y + 66593030
Find the second derivative of -8357548*i**3 + 5409572*i.
-50145288*i
Differentiate 22462834*f - 23322616.
22462834
What is the second derivative of 9*b*u**2 + 780*b*u + 2*b + 5606*u**2 + 116 wrt u?
18*b + 11212
Find the second derivative of -42414936*w**3 + 9280*w - 457.
-254489616*w
Find the third derivative of 58549222*o**3 + o**2 - 1022*o + 3696 wrt o.
351295332
Find the third derivative of 352779*c*u**5 + 10*c*u**2 - 6*c*u - 6756*c + 404*u**5 - 4*u + 1 wrt u.
21166740*c*u**2 + 24240*u**2
What is the derivative of 39917149*q**2 + 22365097?
79834298*q
What is the second derivative of 43595286*p**5 + 453622*p - 12?
871905720*p**3
Differentiate 52*c**3*d - 4*c**3 + 10*c**2*d - 12996*c**2 + 3*c*d - 3*c - 2558*d - 1 wrt d.
52*c**3 + 10*c**2 + 3*c - 2558
What is the first derivative of -2*k*r**2 + 308*k*r - 4051*k + 156165096*r**2 wrt k?
-2*r**2 + 308*r - 4051
Find the second derivative of -29120753*w**2 + 227721386*w.
-58241506
Find the second derivative of -4*m**3 - 60152*m**2 + 56863904*m wrt m.
-24*m - 120304
What is the second derivative of 63225235*x**2 - 1522*x
|
{
"pile_set_name": "DM Mathematics"
}
|
et x(o) = 5*o**2 + 5. Let q(k) = 14*k**2 - k + 14. Let r(v) = 4*q(v) - 11*x(v). Let z = 2053 + -2051. Determine z*b(u) - 11*r(u).
u**2 + 2*u - 1
Let c(z) = z**3 + 2. Let m(a) = 106 - 213 + 108. Give c(s) - 5*m(s).
s**3 - 3
Let t(x) = -x + 5. Let b(h) = -436*h - 460. Let o be b(-1). Let m = 13 - 8. Let g(v) = -4*v + 24. Calculate m*g(f) + o*t(f).
4*f
Let c = 18 - 16. Suppose -3*n + 1 = -c*n. Let y(h) = -h**3 - h**2 + 1. Let t(j) = -3*j**3 - j**2. What is n*t(x) - y(x)?
-2*x**3 - 1
Let q(l) = -4*l**2 - 3*l + 3. Let x(i) = 17*i**2 + 13*i - 13. Suppose 8 = -2*u - 22*r + 26*r, 0 = -5*u - r - 31. Calculate u*x(v) - 26*q(v).
2*v**2
Let m(t) = 22*t - 1. Let c be (-122)/(-18) - ((-671)/(-99) + -7). Let p(q) = -15*q + 1. What is c*p(z) + 5*m(z)?
5*z + 2
Suppose 0 = -0*w - w + 5. Let f(v) = 6*v + 3. Let t(z) be the second derivative of -7*z**3/6 - 2*z**2 + z + 48. Calculate w*f(b) + 4*t(b).
2*b - 1
Let h(q) be the third derivative of q**4/6 + q**3/2 - 15*q**2 - q. Let i(r) = -3*r - 2. Calculate -5*h(v) - 6*i(v).
-2*v - 3
Let l(k) = -k**2 - 5. Let m(i) be the first derivative of -5*i**3/3 - 21*i + 86. Calculate -9*l(o) + 2*m(o).
-o**2 + 3
Let r(l) be the first derivative of l**3/3 - l**2/2 + l - 91. Let w(i) = 6*i**3 - 3*i**2 + 3*i - 3. Calculate -3*r(m) - w(m).
-6*m**3
Let i(a) = -209*a + 5. Let w(y) = 13375*y - 321. Determine 321*i(j) + 5*w(j).
-214*j
Let p = 5 - -2. Let m(y) = -2*y + y + 6*y - p. Let w be 7*-2 + 376/47. Let z(f) = -4*f + 6. What is w*m(h) - 7*z(h)?
-2*h
Let o(c) = -10*c - 33344 + 33353 + 4*c. Suppose 5*b + 5*n = -0 - 30, 5*n = -10. Let q(w) = 3*w - 4. What is b*o(l) - 9*q(l)?
-3*l
Let x(y) = -324*y + 28. Let j(v) = -162*v + 17. What is -5*j(z) + 3*x(z)?
-162*z - 1
Let w(c) = -c + 1. Let f(r) = -4*r + 43. Calculate f(g) - 2*w(g).
-2*g + 41
Let r(t) = -6973*t**3 + 133*t**2 + 399*t + 266. Let b(n) = 317*n**3 - 6*n**2 - 18*n - 12. Determine -133*b(d) - 6*r(d).
-323*d**3
Let n(h) = 7*h**3 - 7*h**2 - 5*h + 6. Let o(u) = 2*u**2 + 16 + u - 6 - u**2 - u**3 - 11. Let m be -2 + 2*-1*1. Let c = m - -3. Calculate c*n(i) - 5*o(i).
-2*i**3 + 2*i**2 - 1
Let y = -286 + 289. Let u(k) = -k. Let h(l) = -2*l + 1. What is y*u(t) + h(t)?
-5*t + 1
Let t(i) = 5*i - 9. Suppose 0 = 3*p - 3*k - 33, 25 = -7*k + 2*k. Let g(f) = 9*f - 17. Calculate p*g(m) - 11*t(m).
-m - 3
Let b(a) = -106*a**3 + 318*a**2 + 318. Let y(m) = -m**2 - 1. Determine -b(g) - 318*y(g).
106*g**3
Let w(x) = -4*x - 1. Let h(j) = -6. Give h(a) - 5*w(a).
20*a - 1
Let f be 3*4/(16/4). Let b(d) = 5*d**3 + 3*d**2 + 3*d. Let h(l) = -4*l**2 - l**2 - l + 4*l**2. Calculate f*h(p) + b(p).
5*p**3
Let g(l) = 7*l + 7. Let o(r) = -4*r - 4. Let b(h) = -3*g(h) - 5*o(h). Let s(x) = 3*x**2 + 5*x + 3. Let z be ((-6)/(-12))/(2/12). Give z*b(m) + s(m).
3*m**2 + 2*m
Let a be (2 + 0)/(-1 + (-12)/(-14)). Let j be 27/21 + (3 - (-46)/a). Let g(l) = -l - 1. Let c(r) = -1. Give j*g(b) - 4*c(b).
-b + 3
Let o(g) = 48*g**2 + 66*g + 849. Let q(i) = -3*i**2 - 4*i - 53. Calculate 2*o(t) + 33*q(t).
-3*t**2 - 51
Let p(z) = -3*z - 6. Let b(d) = 7*d + 10. What is -3*b(t) - 5*p(t)?
-6*t
Let a(z) = 7*z**2 + 267*z + 6. Let w(d) = -6*d**2 - 269*d - 5. Calculate 5*a(i) + 6*w(i).
-i**2 - 279*i
Let c(k) = 628 - 316 - 312 - 2*k. Suppose 0 = 3*a + 2*a + 55. Let u(t) = t. Calculate a*u(h) - 6*c(h).
h
Let c(f) be the second derivative of f**4/4 - f**2/2 - 15*f. Let p be c(1). Let u(x) = x + 4. Let h(i) = -1. Calculate p*u(o) + 9*h(o).
2*o - 1
Let c(l) = 2*l**3 + 7*l - 1. Let d = 78 - 72. Let u(q) = d*q - 3*q - 4*q. Calculate -2*c(r) - 14*u(r).
-4*r**3 + 2
Let x(v) = 2*v**3 + 4*v**2 - 4*v - 4. Let z(t) = -t**3 + t**2 - t - 1. Let d = 309 + -308. What is d*x(h) - 4*z(h)?
6*h**3
Let m(r) = 5*r**2 + 25*r + 17. Let n(x) = -2*x**2 - 9*x - 6. Let t(y) = 3*m(y) + 8*n(y). Let d(u) = -4*u - 4. Calculate 3*d(l) + 4*t(l).
-4*l**2
Let h be -1 + 0 + (-10)/(-2). Let o(z) be the third derivative of z**5/60 - z**4/8 - z**3/2 + 37*z**2 - 2. Let t(c) = c**2 - 4*c - 4. What is h*o(b) - 3*t(b)?
b**2
Let l(b) = b**2 - 3*b + 3. Let m(u) be the third derivative of u**5/30 - u**4/12 + u**3/3 - 19*u**2. Give -2*l(t) + 3*m(t).
4*t**2
Let g(o) = 29*o - 7. Let z(p) = 23*p - 1. Let j(w) = 11*w. Let h(m) = -5*j(m) + 3*z(m). Determine 4*g(d) - 9*h(d).
-10*d - 1
Suppose 4*h = 6 - 26. Suppose -6*l = -15 - 27. Let f(i) = -4*i + 7. Let p(w) = -3*w + 5. Give h*f(o) + l*p(o).
-o
Suppose 7*v - 5 = 2*v. Let z(m) = -m**2 - 7*m - 2. Let j(g) = -118*g + 11. Let x(h) = -43*h + 4. Let o(f) = 4*j(f) - 11*x(f). Determine v*z(i) + 6*o(i).
-i**2 - i - 2
Let i(g) = 64*g**2 - 6*g + 8. Let c(x) = 132*x**2 - 11*x + 15. What is 6*c(s) - 11*i(s)?
88*s**2 + 2
Let o(z) = 2*z + 1. Let y(u) = 7. Give 4*o(j) - y(j).
8*j - 3
Let x(p) = p**2 - 3*p - 3. Let y(s) = 116*s**2 - 280*s - 308. Let w(i) = 21*i**2 - 51*i - 56. Let o(v) = 28*w(v) - 5*y(v). Determine -3*o(l) + 28*x(l).
4*l**2
Let x(f) = 2*f**3 - 7*f**2 + 9*f - 11. Let h(o) = -o**3 + 4*o**2 - 5*o + 6. Suppose -11*p + 8*p - 23 = -5*n, 3*n - 7 = -5*p. Determine n*x(l) + 7*h(l).
l**3 + l - 2
Let k(s) = -11*s**2 + 8. Let b(g) = 21*g**2 - 1 - 9*g**2 - 3 - 5. What is -6*b(f) - 7*k(f)?
5*f**2 - 2
Let p(k) = -13*k - 31. Let g(n) = 15*n + 29. Calculate -5*g(v) - 6*p(v).
3*v + 41
Let p(w) = w**2 + w + 1. Let s(k) = -33*k**2 - 17*k + 2. Let o(h) = -12*h**2 - 6*h + 1. Let t(v) = -8*o(v) + 3*s(v). What is -5*p(r) - t(r)?
-2*r**2 - 2*r - 3
Let t(l) = -48*l - 4. Let q(r) = 2*r + 1. Determine 10*q(k) + t(k).
-28*k + 6
Let z(j) = -13*j**3 - 13*j - 9. Let l(c) = -3*c**3 - 3*c - 2. Let q = 868 - 866. Calculate q*z(r) - 9*l(r).
r**3 + r
Let j(l) = -36*l**2 + 5. Let u(n) = -1. What is 3*j(y) + 15*u(y)?
-108*y**2
Let b(u) = -u - 105. Let i(j) = -2*j - 104. What is 6*b(c) - 4*i(c)?
2*c - 214
Let x(k) = 9*k**2 + 3*k + 30. Let r(s) = -8*s**2 - 3*s - 30. Determine 7*r(t) + 6*x(t).
-2*t**2 - 3*t - 30
Let c(u) = -u**2 - 1. Let y(a) = 12*a**2 + 22 + a - 8 - 4. Let h = 6 + -4. What is h*y(b) + 22*c(b)?
2*b**2 + 2*b - 2
Let p(j) = j**3 + j**2 + 2. Let n(f) = 10 + 0 + f**2 - 9*f + 10. Let d be n(6). Let s(l) = 4*l**3 + 3*l**2 - l + 7. Give d*s(i) - 7*p(i).
i**3 - i**2 - 2*i
Let k(x) = 2*x**2 + 71*x + 34. Let q be k(-35). Let c(d) = 6*d + 7. Let i(t) = -t - 1. What is q*c(b) - 4*i(b)?
-2*b - 3
Let x(h) = h**2 + 5*h. Suppose 84*f + 147 = -21. Let g(k) = -k**2. Calculate f*g(y) - x(y).
y**2 - 5*y
Let k(y) = y**3 + y**2 + 9*y + 1. Let q(z) = z**3 + z**2 + 4*z. Calculate -3*k(a) + 5*q(a).
2*a**3 + 2*a**2 - 7*a - 3
Let r(p) = -2*p**3 + p**2 + p + 1. Let o(y) = 9*y**3 + 4*y**2 + y + 5. Give o(x) - 5*r(x).
19*x**3 - x**2 - 4*x
Let x = 12 - 7. Let h(l) = -9 - l**3 + 4 + 10*l**2 - 5*l**2 - x*l. Let q(s) = s**3 - 6*s**2 + 6*s + 6. What is -6*h(k) - 5*q(k)?
k**3
Let a(f) = 8 + 43*f + 8 - 5 - 18*f - 16*f. Let z(g) = -5 - 2 - 6*g + 0. Determine 5*a(h) + 8*z(h).
-3*h - 1
Let h(d) = -7*d - 7. Let z = -40 - -56. Let u(n) = -22*n - 22. Suppose 573 = -268*s - 767. What is s*u(k) + z*h(k)?
-2*k - 2
Let h(z) = z - 3. Let d(j) = -30*j + 8. Give d(m) + 4*h(m).
-26*m - 4
Let f(i) = 61*i**2 + 2*i - 2. Let v(s) = 15618*s**2 + 513*s - 513. Calculate 1026*f(d) - 4*v(d).
114*d**2
Let r(o) = -o**3 + 6*o - 57. Let i(u) = u**3 - 5*u + 58. What is -6*i(x) - 5*r(x)?
-x**3 - 63
Let v(n) = 37*n - 8. Let j(g) = 17*g - 2. Let z(i) = 7*j(i) - 3*v(i). Let b(m) be the third derivative of m**4/8 + m**3/2 - 3*m**2. Give 10*b(c) - 3*z(c).
6*c
Let a(f) = -27*f**3 - 8*f**2 + 3*f. Let n(x) = -55*x**3 - 14*x**2 + 5*x. Calculate -7*a(t) + 4*n(t).
-31*t**3 - t
Let j(f) = 15*f - 5. Let w(y) = 3 + 25*y + 15*y - 48*y. Give -3*j(c) - 5*w(c).
-5*c
Let s(p) be the second derivative of p**3 - 92*p. Let i(l) = 12*l. Determine 4*i(z) - 9*s(z).
-6*z
Let n(i) = 3*i + 4. Let x(m) = -9*m - 13. Let y(o) = -8*n(o) - 3*x(o). Let j(v) = -4*v - 8. Determine 5*j(p) + 6*y(p).
-2*p + 2
Let s(u) = -114*u**2 + 95*u + 95. Let t(o) = o**2 - o - 1. Let g be ((-304)/(-12))/((-48)/(-180)). Give g*t(v) + s(v).
-19*v**2
Let u(l) = -124*l - 9. Let i(s) = -310*s - 22. Determine -5*i(v) + 12*u(v).
62*v + 2
Let t(j) = 5*j + 5. Let r = -53 + 60. Let u(i) = -4*i + 9 + 9*i + 6*i + 2. Determine r*t(l) - 3*u(l).
2*l + 2
Let a(w) = -64*w - 4. Let c(g) = -61*g - 5. Determine 4*a(q) - 3*c(q).
-73*q - 1
Let i(l) = l**3 - l - 84*l**2 - 2*l**3 + 81*l**2 + 5*l**3 + 5.
|
{
"pile_set_name": "DM Mathematics"
}
|
2
What is the third derivative of -187*l**4 - 16*l**3*q**2 + l**2*q**2 - 817*l*q + l wrt l?
-4488*l - 96*q**2
Find the first derivative of 777*c*j**3 + 6*j**3 + 2*j**2 - 310*j wrt c.
777*j**3
Find the second derivative of 2529*i**4 + 2*i + 1011 wrt i.
30348*i**2
Differentiate -3*a*i**2*w - 2*a*i - 7*a*p**2 + 6*i**3*p**2*w - 2*i**3 - 2*i**2 - p**2*w wrt w.
-3*a*i**2 + 6*i**3*p**2 - p**2
What is the third derivative of 7*a**5 + 27*a**4 - 2266*a**2 wrt a?
420*a**2 + 648*a
What is the third derivative of 19927*y**3 + 118*y**2 + 20 wrt y?
119562
Find the third derivative of -90*o*s**6 + o*s**3 + o*s**2 - 152*o*s + 3*s**2 wrt s.
-10800*o*s**3 + 6*o
What is the second derivative of -7*n**5*x**3 - 96*n**3*x**3 - 2*n*x**2 - 8*n + 9*x**3 wrt n?
-140*n**3*x**3 - 576*n*x**3
What is the second derivative of -q*u**2 - 25*q*u - 28*u**2 + 5*u wrt u?
-2*q - 56
What is the derivative of -12*a**3 + 3*a**2 - 2*a - 23659?
-36*a**2 + 6*a - 2
Find the first derivative of 22*j**2 + 18*j - 1291.
44*j + 18
What is the second derivative of -1404*b**2*c**2 + 30*b*c - 2*c**2 wrt b?
-2808*c**2
What is the third derivative of 4429*r**6 + 4*r**2 - 35*r wrt r?
531480*r**3
Find the third derivative of -6674*c**2*o**3 + 147*c**2 - 2*c*o**2 + 2*o wrt o.
-40044*c**2
Find the third derivative of 2*c**5 - 7*c**4 - c**2 + 2 wrt c.
120*c**2 - 168*c
What is the third derivative of -1259*o**3 - 3805*o**2?
-7554
What is the first derivative of 424*u**4 + 5*u**3 + 1032?
1696*u**3 + 15*u**2
What is the second derivative of -1816*w**4 - 427*w?
-21792*w**2
Differentiate -195*h**2 + 25*h + 1713.
-390*h + 25
Find the third derivative of -u**6 - 2*u**4 - 931*u**3 - 2889*u**2.
-120*u**3 - 48*u - 5586
Differentiate 3*g**2*w + 15*g**2 - 19*g*w**2 + 2*g*w with respect to w.
3*g**2 - 38*g*w + 2*g
Find the third derivative of -2*a**3*s**3 + 24*a**3*s**2 - 36*a**2*s**3 - 12*a**2*s**2*x**2 - 2*a**2*s**2 + a**2*x - 18*s**3*x**2 wrt s.
-12*a**3 - 216*a**2 - 108*x**2
What is the second derivative of 255*i**2 + 436*i?
510
Find the second derivative of 7*f*o**2*q**2 + 2*f*o*p*q**2 - f*o*p - 3*f*o*q**2 - 64*f*o + 2*o**2*q - 4*o*p*q wrt q.
14*f*o**2 + 4*f*o*p - 6*f*o
Differentiate 14*j*q*y - 3*j*q - 3*j*y**2 + 383*q*y**2 wrt j.
14*q*y - 3*q - 3*y**2
Find the third derivative of -13*a**2*l*q**3 + 5*a**2*l*q + 3*a**2*q**2 - a*l*q**3 - a*q - 2*q**4 + 2*q**3 wrt q.
-78*a**2*l - 6*a*l - 48*q + 12
Differentiate -12*c**2*t**3 - 9*c**2 - 3*c*t**2 - 134*t**3 - 2 wrt c.
-24*c*t**3 - 18*c - 3*t**2
What is the first derivative of -4*a*h*n - 3*a*n*u**2 - 6*a + 36*h*n*u**3 + h*u - u**3 - 7 wrt n?
-4*a*h - 3*a*u**2 + 36*h*u**3
What is the third derivative of 168*b**5 - b**4 - 9*b**3 - b**2 + b + 69 wrt b?
10080*b**2 - 24*b - 54
Find the second derivative of 293*z**2 - 2*z - 2064 wrt z.
586
What is the first derivative of 4*g**2 + g - 581 wrt g?
8*g + 1
What is the third derivative of 166*i**5 + 6*i**2 - 1 wrt i?
9960*i**2
What is the second derivative of 6*r**5*v**2 - 32*r**4*v**2 + 3*r*v**2 - 182*r*v + 2*r - v wrt r?
120*r**3*v**2 - 384*r**2*v**2
Find the third derivative of 146*l**6 - l**5 - 833*l**2.
17520*l**3 - 60*l**2
Find the second derivative of -2711*m**4 - 3*m + 470.
-32532*m**2
What is the third derivative of 1760*t**4 + 3*t**2 - 191*t?
42240*t
What is the derivative of 62*j**3 + 139 wrt j?
186*j**2
Find the second derivative of -998*z**5 + 315*z wrt z.
-19960*z**3
What is the second derivative of 5*s**2*x**4 - 511*s**2*x - 119*x**4 - x wrt x?
60*s**2*x**2 - 1428*x**2
Differentiate 7563*v**2 + 672 with respect to v.
15126*v
What is the first derivative of -702*w + 1134?
-702
Differentiate 160*k**3*r**3 - 2*k**3 + k**2*r**2 - 381*k with respect to r.
480*k**3*r**2 + 2*k**2*r
Find the second derivative of -y**4 - 44*y**2 - 1438*y.
-12*y**2 - 88
What is the second derivative of -1833*t**5 - 2*t**2 - 486*t + 4 wrt t?
-36660*t**3 - 4
What is the third derivative of 2*q**6 + q**3*r**3 + 4*q**2*r**3 - 17*q**2*r**2 - 3*r**3 wrt q?
240*q**3 + 6*r**3
What is the second derivative of -3*l**2*y*z + l**2*y + 44*l**2*z - 5*l*y*z - 10*l*y + 2*l*z + 2*y wrt l?
-6*y*z + 2*y + 88*z
What is the second derivative of 248*q**2 - 19*q - 2?
496
What is the derivative of -182*q**2 + 192 wrt q?
-364*q
What is the third derivative of -1859*k**3*q**2 + 2*k**2*q**2 + 49*k**2*q - 10*k*q**2 wrt k?
-11154*q**2
Find the first derivative of -584*c**2*h - 2*c*h**3 - 4*h**3 - 82*h**2 wrt c.
-1168*c*h - 2*h**3
Differentiate 20*t**3*v**2*w - 9*t**3 + 2*t*v**2*w - 13*t*v**2 + 2*t*w - 2 with respect to w.
20*t**3*v**2 + 2*t*v**2 + 2*t
Differentiate c**2*t*y - 7*c**2 - c*t*y**2 - 5*c*t*y + 39*c*y**2 wrt t.
c**2*y - c*y**2 - 5*c*y
What is the third derivative of 5*j*q*y**3 - 2*j*q*y**2 + 382*j*y**3 + 4*q*y**2 + 380*q*y wrt y?
30*j*q + 2292*j
Find the second derivative of 43*d**2*o**5 + 4*d**2*o**4 + 254*d**2*o wrt o.
860*d**2*o**3 + 48*d**2*o**2
What is the second derivative of -215*i**4 + 2*i**3 + 4*i**2 + 10235*i?
-2580*i**2 + 12*i + 8
What is the third derivative of -2*b*y*z**3 - b*y*z**2 + 2*b*z + 5*z**3 + 40*z**2 wrt z?
-12*b*y + 30
What is the first derivative of 626*a**2 + 14*a - 9041 wrt a?
1252*a + 14
What is the third derivative of 484*y**3 - 32*y**2 + 26 wrt y?
2904
Find the third derivative of -30*a**2*h**2*x**3 - 2*a**2*h*x**2 + a**2 - 6*h**3*x**3 + 243*h**3 + 2*h*x**2 wrt x.
-180*a**2*h**2 - 36*h**3
Differentiate -2*p**2*z**2 + 175*p**2 - 2*p*z**3 + 22*z**2 with respect to z.
-4*p**2*z - 6*p*z**2 + 44*z
Find the third derivative of -183*c**3*m**3 + 41*c**3*m + 4*c*m**2 + m**3 + 2*m wrt m.
-1098*c**3 + 6
Find the third derivative of 1319*r*u**6 + r*u - 3*r + 947*u**2 wrt u.
158280*r*u**3
Find the first derivative of -1357*g*t**2 + g*t + 2*t**2 + 177 wrt g.
-1357*t**2 + t
What is the second derivative of -58*x**2*y**2 - 26*x**2*y - 10*x**2 - 2*x*y**4 wrt y?
-116*x**2 - 24*x*y**2
Differentiate -f**2*l**2 - 3*f**2*x + 58*f*l**2*x + f*l**2 + 22*f*l with respect to x.
-3*f**2 + 58*f*l**2
What is the first derivative of -12460*p**2*y - p*y + 3864*y wrt p?
-24920*p*y - y
Differentiate 280*i**3 - i**2 + 695 wrt i.
840*i**2 - 2*i
What is the third derivative of 3937*o**6 + 6925*o**2 wrt o?
472440*o**3
Find the third derivative of -13*m**5*p + 129*m**3 - 5*m**2 + 127*m*p - 2*p wrt m.
-780*m**2*p + 774
What is the derivative of 119*i*j**3*s + 8*i*s + j**3*s + 98*j*s + 7*s - 2 wrt i?
119*j**3*s + 8*s
What is the third derivative of -q**4*t**2 + 1702*q**3*t**2 + 3984*q**2*t**2 wrt q?
-24*q*t**2 + 10212*t**2
Find the third derivative of -d**4 - 1296*d**3 - 4*d**2 - 134*d + 2 wrt d.
-24*d - 7776
What is the third derivative of -9664*o**2*v**4 - 7*o**2 + 839*o*v**2 wrt v?
-231936*o**2*v
What is the third derivative of 16*f*u**3 - 12*f*u**2 + 3*f + 4*u**3 wrt u?
96*f + 24
Find the third derivative of 1457*p**5 - 2*p**2 - 39*p.
87420*p**2
What is the second derivative of 79*h*k*n**2 - 2*h*k*n - h*n**3 + 15*h*n - 2*k wrt n?
158*h*k - 6*h*n
What is the third derivative of 339*b**2*t**5 + 2*b**2*t**3 + 6*b**2 - 2*t**3 - 647*t**2 wrt t?
20340*b**2*t**2 + 12*b**2 - 12
What is the second derivative of 461*i**2 + 2*i + 208 wrt i?
922
What is the third derivative of 22*d**5 + 142*d**2?
1320*d**2
Differentiate 836*p - 114.
836
What is the third derivative of 4*m**3*v**3 - 79*m**3*v**2 + 10*m**2*v**3 + 6*m**2*v**2 + 2*m**2 wrt m?
24*v**3 - 474*v**2
Differentiate 441*h**4 + 179 wrt h.
1764*h**3
Differentiate 6*v**3 + 243.
18*v**2
What is the third derivative of -27*b**3*t*x*y + 74*b**3*y**3 + 2*b**2*t**2*x**2*y + 3*b**2*t**2*x*y**2 - b*t**2*x + t**2*x*y**3 + t*x**2*y**3 wrt y?
444*b**3 + 6*t**2*x + 6*t*x**2
Find the third derivative of 3*j**6 + 82*j**3 + 1957*j**2 + 2 wrt j.
360*j**3 + 492
Find the first derivative of 4*r**2 + 13*r - 8851 wrt r.
8*r + 13
What is the third derivative of j**6*r + 15*j**5 - 6*j**3*r + 3090*j**2 + 3*r wrt j?
120*j**3*r + 900*j**2 - 36*r
Find the third derivative of -61*c**4 + 5*c**3 + 3012*c**2 + 2*c.
-1464*c + 30
What is the derivative of -1086*u - 828 wrt u?
-1086
What is the third derivative of -425*d**3 - 792*d**2 wrt d?
-2550
What is the third derivative of 6*n*v**2*x**3 - n*v**2 - 13*n*v*x**2 - 30*v**2*x**4 wrt x?
36*n*v**2 - 720*v**2*x
Find the first derivative of 2*l*q*r + 5*l*q + 5*l*r*w - 4*q*r*w + 25*q*r + 4*q*w + r*w wrt w
|
{
"pile_set_name": "DM Mathematics"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.